From 0c5b6858408fce1315607b4106d07cb6583a268b Mon Sep 17 00:00:00 2001 From: izaac Date: Thu, 22 Feb 2024 13:42:38 -0700 Subject: [PATCH 01/23] added simple conversion from ipm to model in grahviz --- epymorph/data/ipm/viztest.py | 44 ++++++++++++++ epymorph/pei.gv | 9 +++ epymorph/pei.gv.png | Bin 0 -> 13605 bytes epymorph/sirh.gv | 10 ++++ epymorph/sirh.gv.png | Bin 0 -> 26030 bytes epymorph/viz.py | 108 +++++++++++++++++++++++++++++++++++ epymorph/viztest.gv | 10 ++++ epymorph/viztest.gv.png | Bin 0 -> 14037 bytes 8 files changed, 181 insertions(+) create mode 100644 epymorph/data/ipm/viztest.py create mode 100644 epymorph/pei.gv create mode 100644 epymorph/pei.gv.png create mode 100644 epymorph/sirh.gv create mode 100644 epymorph/sirh.gv.png create mode 100644 epymorph/viz.py create mode 100644 epymorph/viztest.gv create mode 100644 epymorph/viztest.gv.png diff --git a/epymorph/data/ipm/viztest.py b/epymorph/data/ipm/viztest.py new file mode 100644 index 00000000..ee0379a1 --- /dev/null +++ b/epymorph/data/ipm/viztest.py @@ -0,0 +1,44 @@ +"""Defines a compartmental IPM mirroring the Pei paper's beta treatment.""" +from sympy import Max, exp, log + +from epymorph.compartment_model import (CompartmentModel, compartment, + create_model, create_symbols, edge, + geo, param) +from epymorph.data import registry +from epymorph.data_shape import Shapes + + +@registry.ipm('viztest') +def load() -> CompartmentModel: + """Load the 'pei' IPM.""" + symbols = create_symbols( + compartments=[ + compartment('S'), + compartment('I'), + compartment('R'), + ], + attributes=[ + param('infection_duration', Shapes.TxN, float, 'D'), + param('immunity_duration', Shapes.TxN, float, 'L'), + geo('humidity', Shapes.TxN, float, 'H'), + ]) + + [S, I, R] = symbols.compartment_symbols + [D, L, H] = symbols.attribute_symbols + + beta = (exp(-180 * H + log(2.0 - 1.3)) + 1.3) / D + + # formulate N so as to avoid dividing by zero; + # this is safe in this instance because if the denominator is zero, + # the numerator must also be zero + N = Max(1, S + I + R) + + return create_model( + symbols=symbols, + transitions=[ + edge(S, I, rate=beta * S * I / N), + edge(I, R, rate=I / D), + edge(I, R, rate=I / L), + edge(R, S, rate=R / L) + ]) + diff --git a/epymorph/pei.gv b/epymorph/pei.gv new file mode 100644 index 00000000..2f7320ce --- /dev/null +++ b/epymorph/pei.gv @@ -0,0 +1,9 @@ +// pei +strict digraph { + rankdir=LR + node [shape=square] + edge [minlen=2.0] + S -> I [label="I*S*(1.3 + 0.7*exp(-180*H))/(D*Max(1, I + R + S))"] + I -> R [label="I/D"] + R -> S [label="R/L"] +} diff --git a/epymorph/pei.gv.png b/epymorph/pei.gv.png new file mode 100644 index 0000000000000000000000000000000000000000..a23ca29561f0d5630996263ea1220793d195c884 GIT binary patch literal 13605 zcmbVzby$^Kx9?IEk&seBy2PMdh?Ei{5`ut|5`rucl#V4`0@9#JN=bv1fV7mrLO^K= zY3c5+J6`wx&NMvZO6j`3{a6kJ*b%f&hNP>@_!c zlK=C22^n3)+4lpLCWxBaVDpqI~-3a9_}AD?7DrrntUdQqD)*_tC1c zJ27&xx5HdqTqLrxvJvN!2WCvJ&0_xZg{s%+9**?xZWTFodS>>!|L>cGnUeo~BnjWM zN(J}--j0BoUHt$5!y>UVY$rn+m81DBhO>*GDk+gw?ffAMGW{rCi`nN~iLf*b5TiHEmwNt^v zQ5O^zuJ&kIFtf3pl1LRwtZXkcVC ze{i5v@hX#kJh*GUO)PJQWmi|EjRRy_{Fvns9tzgc7&5=6$TJe9OGB&~VYv(9olCd~9R3>-zfb zo{BV$ob2pTxQMSW!H)zn#OJdEZ|)iRuzn7DEK_U(wUu=)pba!*uMFT~uo;~rn%UGQOaZO;shyKTpd zic?^8-ATkvzrs2@5}Hl>@$bcp6&kfYNA>M5SGQfieq95Ly@fn7UQL=p+^6EI#KxS$ zy`D*|<8&)MzI#J`ea7N)jR#&ovf4${w#C_%m*paEP*G8_hd)r&?^Ic)$AmW-WPkk{ zOE2mi^)Tv&#|gda{h?(I3?{i}arQA4st@*gJuuL}ON=$}etA3ij!+%?g$2uUF0>YT}5 zI?d-o%^+y${xDYX-Q@K2O&oPVV4%UJOP8{Xioy>!^V|%_8$*n8a&i{Fc@q(%U|n)? z1=DQ_d27t6CS`%>p7!>dz3t_;sh=_FYD=)Z{nCss^(l|9t#5AL672u8zMEZKtY+wH zV!~mA#TrT^zAgIlWkx6Wv0XI^s^;Rwi@2|ql~0tFDFt-d-{-ftD@{#Lrz<<(wp;4n zOU=s2@IC7-p{AyWqwZSX**G5;cjfnt&Cy^vHsFNbyLaziwy-P2en)*KqT;q(-w-n2 z>$bBC<-$?7w6tL0sHCQ)%@xUCV`KBGTx;eSJdXS2q@K^MQyz9guPa^Ah|v4n$MVmG zg%~`1Vm(w}LjY9~u2R2&kl)}tS>Y9}G}q%fc}2zIF#mu6T$oUPYn2-n@Cqc?FH`_-K7XZyXnNm4~Mhis4uD;lz8zx3RH+iQ(hdn~uOvw*c*pZI7 z?wdtU64USzz_a`+HJ$It*~vTJ204v~vA z?#Qq-H#fL{V8Fz*sa@L6&Frv6_vjnyv&;TgCfEMffW;-$)>MoIjrI||TU2r~>;7sZ zn+NDZ;$0~>sISvHFB-SQsq%1RNF7cZVwRaFHx zj$3i*FXm_#`TvX;i8Go|} zIQ~A7kyN7l3pWeRwBCRFCV>h$BRccFx0ec~q@rSAxqEytEjG5i9AY(&vs$+m5k)Df zs(P14^v7Eglm4G2(<*45Pw`57Z%bG*Gg z!brvQwBDvo)%!*_?U$Z@1?Fhr!GSZUZWW!Xs%l0~P6IB8_FZ(e zAM`I4C|fPvgz+>*7uq^sa#j=y-puo93miEzT3VuaGN)<;H@V-*pin|WLT?|W;{Wni zx>^rosD`@kcae!|goxt?fmVrm!`fs^5svA7)7uXp{QW4eAZzsM)hlXIXThVR?dq(r zA+t6Nv{|n4ry3d>u5xgA!ddzD?HlJspQ;4R;-$S0EXS)e9jw}A)~8WqjEtl>>We&2 zO~*0_W<{>{&!sBF346c4qWA}PW(P`F&%`7EZj$uzBdSewpHp;ihV@HP(Oou*v8=qR z*9i%X!3-k)XDQih1_o$hd`LZbK=|Rq2jc77(+O_)A9sneu4O+d#MjTKrtmw})6*kp zJ45z{g!XxanMv}&pXU}9dByU(sU^9&tse_6Vfw0EZcjlo=GE;TS5{Md(~&IA3V`YM zs|9g0GcJV$(V*YIH3Ki*d_&93&A~wgDB^QTiL|8TsaMOxB&eOGie)l-`k=6|^EYs# z6BAz006o!fp!B&N2ai~0HaJ5WPq_CK-lUk|qiWMpM) z;i=D&l9HB|m+Qj_?yIol5#1TZ3&(B>nV0w2InB<_YD(MF3R>!=?9y_6f`$K zfPtG~%giTL$x)HpY{09cu1>2$g<8SUTGVuPQNj_e-<g&_cu6Cv0UK*;SwfO3>J?x~II-e*you5CK&h!33>i3qGx)z>lVh?e5vw`B; zj*brf)tP;vo_OZGYZ3(L>qNIQ$wh4K_#|))c8C2X7L0&BjLw}qr>%}sS67b+4NbBu zqZKeWK=o}c4pan=Xbf2*;}jmJpYeD{`nj1|4%SQbVRlYV1>LHmkb|S+oJyMYig#=* zU6CR5M*uVa{+&X&t*ZT{+f$>XHCUo9sex68&0p%!j~b|SGk)-Ja9|`7mAG=heBr}) zuUz>?B%i4C8IVsnmu{8zI6o^33$%vG<_qDw>UmEMQ5vvc0*VRik}}3= z05SJRjt_O!o<42;^yyRI(ojVi`I&)`_TISh=bt(V2F6$IP1`@-73LX$ErCB|r=)nr z^r}|QQ<%W4-TrWui%V5&SXHNQV8G^>L;6juh!a01Fdv7Lnwp($!g6)@1g(63$7*`8 zv-)zf4O-aQQzv28e}t2^-bb;lyLhQHsQvu%vqek?-_Izt=g?ON!WIDY?C@-Se7vQN4RS1NhZKzlip>W1hG3Rbhk3V6Czq8y znKp!KpuY9;JoNrj2b{gj^^inyCij?_nBUeebNWXIyOvn&edq_~!(aV?D~!*kCrH`b z+o!k12xG59n@QytV_`Y@I5Uh^@UHAX+c0G4zx{bDY^aVJQ|fjs8X6jEIn&MzPjozk zwxZcXb^<}#exW&{e*mHlVhMG|)^~k_f{^<}aB1O}X$Ql2oKwxs$>DNu9D2z4?Dv-! zsE=L7ZfQw$v$-yvNh*&YpF~~nC7k_~kwMTHOs_mIk>Qs%-u3&p|C=}XSI-mrHs}|n zOhJ=Hx$C;_-k)^HQqPlu9cqmi3GnhdrSas2n^Sv4AiN36ez1t7-8G(=mS27`Kz-j! zh7s!e^vcd&Y;e5Ok`St<`e>8K{Ha}VjA-7?drbzs;g2Y8YxQ(@d;Rz!AI|ONZuK%XJI<^a9Mmo{Y<6ho+27mQ84p35 z4+;{~3wM7k^^#zYjg76DUS|$}@GF#NG9^%V78sSWv2hK+3AEeMfr5`?Zf0hO;0-U{ zrpN3$Q-X?oMM~HWm^MrKnZYq=po*wKbnbAu=BtApD?R~%tjk(MId9*YAdc&K5= zc`nc98RM~U-eds{J8LaGFylQQB}-vi76$M1b-{1eE(p8v>u;D22aiNSB z2h-W@yy2Rjo{Int@i2k3-$ovnum7#vD}webOj1EK-Y|jx43^ovZJCTX=SMBhMv-~g zSLU$(ylAtaprB@a)pBp+MNnIQLBZ?7!ka8CEH~VaoP!c{QjC%fvO+L{R#fdKNe2xu ztRLrDhkGg;zofqr0RzV5a8kSfG1_s%_`O**2QnhxoTK-LGx*6iJ+x&~&~g-YaBy(L zu=#vtv-8U62|y@?=5DnvW8PFS!n>u;oN_0j<*ykT(VZOTwObmjWjtCr<9xW;`~CZO z_qaIvKjY(%R8>>+4xPEt?=X;}zP#G++`Plz=+IBa#>U3P%S&-Z zA+~09ypijow4G?!^6YZ@r0@2j;~LjKAm4vBfbStz7U9knzC};tHs|9 zdzh-S6PTiNsajV`4`~hgXMd%SAN@KkGg;T${!uoV<#i%8#z9*Q+xEN_ET0?|8S+# zlWNz)sJy(q-zd^OK=zl`MYVj+(a%{&YjYbdEiEk!*^Q`bm1H?CQ)j{7T)1!nf%}~N z{1GSg0AYWq&C3hMGqAlsfV$MI!EZkJ9VV^@Owrp8Yi#S=+eWB9*x53GJRw25M-9{% z5JB`&eNds;-y_4e2|3GE`@ts=mSKPpPGFC%OU}Ww>mTN>SzB9o<5R+$PKk=W_Vny8 zFl<4t^#s`R_8l6g}Y^Az@ zqpon?<#jsRosI^WjC=r=2@XPLPP&;`_<6$9w0y>7T4mOTB^dp{{0|>!wuYUSk?n_V zi2};7|I@-XdF}LOPRa0NA^u~)-ypYy|3+(7I^Noj1?V|7Ki`t8Q-MPsgN}|a3QF2( ztKaC>lARHvxx|VEqSdstT0qwLhEK}y1A1&>e*QCH!lt#aPlI>@0LoUxyu5u9J2yX{ zRov=-fkUN7Rz^k-SlP?7xoL)Q+KExOv2$U#s4u@j*>bqUKpD_ry0bF2@Ka!3EHP>yI{ZTl z0rd3;#lBe1i|c&A3wGjWMQ(@_m8W0r)ZNK?>9v}EB{mi zu=i%7QigR5mCoEAh)+hSC`lHy=#ZE5qjWA_z8KtX0daXHnZ>ASx9niiN? zR(1)C#SV6Nb|&#FcBN?NA=_EQ6F0VM53&jM&F92`9X&7Id`^u`@SQa%{AD=q!V!#w`9WqN(0_ zq4f&H7w(o+$7OB1`E;PkB^Dz%AaJ9TlZHuG{g{az9^SfjD={(ABL-Hyth%}JLqy53 zE@h$;LB7V1hYAV`me$s<0a;4iyQdm)Eq&x*O5nODHMSnceq_to(o(R%h%+V8Ma~-7 zW2>nj(MzgyXxhn-JV4Ug_sg2MX+f%;o10@0NMe7~fZ03pk|1zkF&q9GT~Yn66Hf2v z=RawP?n@FdA9p+;fW( zIeBSu5|g#wT|V4hFg&?wvq^SbD90uD>cNf=j|z z0b#`(r0Nm`CsZge>r@OE>6XB95_(JIXd6nTToWQBCSKt6Tie+1f;Z@&udA)~kSh+` z)}$cxjso^E>@ZF5xm;)LyS06d&j$cr4GxD74`M%;nU1j3nHghHw7zFsMQOsM0EChn zYCQWXJDa#>d}83|&!2sX^N-Nw@RmN07Y+^@2vn4)(0_F+eAuN?eXK+3k#+OhK9@n0#r_03wPz@i0J6) zkrOV%Mp0j1uLn?|lE1_F36QH#W{6YX1ick~nwE{o`?L zJbq(aZBqTzXlVIM5e-&8j4x+;Y%CF*BHvkb&*$8xe@ZPK&_^IbWEU^K5g4||L$$ZJ zy9ZG5Sm)>>(EZ^<66EW3b^qKI{>`G5tP`yHNjyBXY2S^?g#Dxa<#Eu1qtF=q$hV>K zLBnUyf|o;-FS%Wji*E-sCY5LJqSWSyP`*YWDDd?S4OZ*sBUL{y>wOVTAVZ-9%gQ5F$-3n49D`L$t#Vsy6n%op- z_S(P>ExM}f>gKJARJrhWqlG&8_jL9*Gxq736)&2Yn3%5w3E4~mZ7UCpjBLEDyT7$q z2iQ>0%q$3$`tS)3K=;erfgqSf>8m?dR>is*Kg?2AR(?nmm>GN9?ws5Hzz8QjKHNwa zDinXnR&Cb}+!auiaRt~}*Yq53zw!}si9nFY?y|hguwCci;+hQ2gZe`h!G{kYlKDyc z`udJiAb^mWiK)iAcKd`2`ndgr>1B5I51dTOe=DAEo>O-2y5FaqockswSvc!Vc>a_; zs40(-kdU4wpZ@;-zG5@l^Mu|Hw(r4C8^t?J`ITNO%HL=>@DvWDkdWc&K$CacS^B{A zRHztv@gR^7TRmSI4+kn+Le!Bd&(!ETsN3Q&N5HPjw6zgnDca;9qJ%`{~1sR zU{jVWqj!PaK}S3R9+vjWt%brisK2^zPU7<3NIU895ULn~x4;T#+-uwfBXi>peFY;Z zXVBn1<*ImZ-pmIl>;|rM$)~v|51c-51fJNF`l6ARFuVTyio}~Q+^Q-n;xNp^<%X8w z3N!v~(>6n-BlhDYs2ZSOmYZ{`+$Z+ub&vfgCJb`-pY2bW%(N$tuG(K5CQ9OYP)xuq z5}&BE45La(M~5U+syL!BU^@xe)p5@+mnvK88(QR!S!WmY-~IOWJ^W{ z#9cVd+JH~xs)Ff+UV}PsJw!TC;u^#tLL-sb4lDEs>YucF8lnE&XZG9`n|b2#wI47@846x zaB8@$heo3dhwdT^8T_!VTu#3(k^?p=F?qGe=BbWS#deU%vcA_>?}g zhldCBrirD)UwwVP9O}82O}(HBdaGusSDR=LR!QZfc~1kNmEtHYNrKm> zRDzB)te#m=Kw({`jiHe`SVp1Fw<1}9ejSpz_Wqi4z;ggYJa_zOt?_|iRsf|~P#X#8oy1!JRQSplF zBDeOAq}`#L^>*xA1>0~YY=q>c&cocST)WoRR(NXY2(8(;tX_lJt@$b$Vb7?p34j-~g%I#y5K z_wO=A%lzPAo(XBh!w?gCpF~_OKfhX#-9H<)Tr91q(9&1udK1dknG7{aJGhyfn|lt- ziMLG#G%aaMc7G!balm|D4w1^q$*F2q1GfrJOJnzyWRaAVgiY(q$5w(H76{5;Uk(i(VXq-1u$rsWHKVk$( z*QeVATHfwFmn}w6b4pqo;yX!bYSIi24k`gSI^M57t{bqZ4k8uZLBVOBBJj3N!my-R z5GjMdkUq4`S48vTL6~sv^z7_em?1>n{{$~)ecPrn6W`xa3t6*)XF-a}$jg&fP&fyI z&21NM3^B+A_ItDGNC@KD&kwhxf*$shfO z{)uh6n+^r4N=hgc0SU>k(mQDMyHKvElKnXNp)j-@HvdoDq%$1Wunx9te$hl2G_8!> zTpYLwCr}VnsQ-A^Q~nYQNL-_fi$S5G6ySzpzImNxABt~!&js8Pg~&wtpu-eRf;eWH zw=B^oO3s^t&HN9R{^zihNjL_8>78+4VQ6^TLmXA6o!jZz3|bLb+2S%X1o-FZe4(3x zK;3BS`TQ!66T0!%A-iHRE|?xcNCzu*r1n7K^G*ACVSMLG2Z`$&_f|mNgBSA`H2-%C zya0Xn$E~}6chUD5sJcXD+UFp)aO%`4CP6`JumfKzH?my;b^#?j+Y=OqRn^uGgnj~y zi-nW($HV}v+GPsAm0#+*W8kLZz@@SRu?PfVy+8GSNUjCWKu4agShB_Tc!-!3^lG45 z9iT^um>;{{yXV=nWcM%6(%@8!#wVtBUs3iV% zjxH~g0xgpBNs_uAj(BlEz}&@|YKqMUMuAAIEq*ZMlK>lnKZSF=827WR~ zgHFV)TNS7%c6i=xuPXrtk`ElI!p46#ivUdzMyxXw6#*gPH)z3@vz?aG zzxNRm3IMAr=>N^Cr5OELwbv+oP6A%iYXCh!Q!+`Cp2@RY;2fr+joyZbd#9wZIUlSx zQj0k9NwSc`KYj-uGSc{9N72n9sW8Mp+s-~liL0ob2YA^kuz3N5iaYj}B^Vg($V+Iv zkzxDe_~V*1>w@6i?nKjj=65odyK9EPQ2_EraWcFwF$GDAnVlUU07Kevn7>>kH}lP# zlu+H0j~$~M`p{`@<<3IjSvSH)T#0EK(zBp?HOZpb1AsI>%pot;$i_jhisvd5u7?! zKECsCLJ7{DlY&M9^5YCX?w@xdyX7L>f0Cgj`zIW0(3n|@&4>JNne=>wtPritJwHf{ zRc;R}%f%ufQAx=iI`9}YzEXflRR?Qw2w1IP_yHB0bJ-Mm1rn0e2_w^4QU9E!q*}`N zXOV;e9Pv8PrSq-ErA+$^P7`{+Hkk!5-_a*Axv)U&Cz;d}SqQ_R#C+%*;6X?$cp+u% z?d^@siR&C3Cs5G70ZB<38()RTC!?ba1fS>B>C?4sZ6Q*k|D3KAQYZaTuFKHJvURH& zpkX)a9<5O=j8roQqP@JmXH|ni0DVJz={3Om3@#I6V{uq5a8gPQ7C`UnD>9*C5OpRP zT_xMVJ9ADFl7RRmG+uW-@vZzc#KlqIUj`Ob|GR1}_J80`Zf5n*|5hE1qG>@Y zA8>K!{lyYvQ&YZ{El`5UFI?~j>|bOEIhs=Jd_?o+GZ3?+K%{Uz+*AjrE;n%NY?L*) z2%aS+B~P~g)^KHr3|r@3ob=W6$X!6^tUK6UFB*1&q9Q_)Oqt5*H?VUmMQi+Kzmb3d zt;j10$K)%b{f`UaBDMsdA>5~-5ryLpYL;98ixF;oaeHU9*0a=Uo7-+N8aQk3Wh=0v zkqv>B0bJ8w?dC@F8M(W|Yb2uqumRekq_guK#H}4&Et>hi=X|$@l#~=c$OKI9WWGd5 z`{p7L5}KBr&okbQpB0faoaEsC!##5!P`sM&;X)jtQk&^>0?r}{ZPLd_hvYEFJ@C$0 z%SNr`gKSFj8|jgEJP@N*Tikf6xExEkr~_kKia{=X;)9mFSE?<5m_+M)X0Y6m&bfqpz?3 z_T4)V055C^S-A85qrv>y_I|8>AUX_G1~@D`AnK~7c_;OBplQEs>FnxahAH);lg-BGzGFUI8#(<5WmnSB@ZH(52m6d1e5RAA zl+@HGf)ZVcaL>l^)zR^BJOE9gTxD>VwRzy_R}# zTdxKMv9;Qf5k|1byLqKx(Kqz|D`%68lcV~tIFEtHjEse{rlvoL;Cc}7u-{o>e%>1E z2k^PlqO3dSQNev-a2igFiHX4_p8;v0>FwZ)J%k>xlIM0v1XtDO#Xm4&YY5i45Pqzz zejoa8{Q=^e5fUPh5db-ofCc02`n-yo8iJKUg#D}(mQqq`JxK_rls7;wV)*(_9pjO^ zHxbph-rnBM#Ay1oi~yQANLT^r3I*%<(o zV|+fZ8V5?%+qk$OFht-z@p!5ac)cVNQ|k(;LHd`4EXL0MejRwA^THtC!w%FQ?r&Rd zFX=24aPU^jR@~izU z7mY9&Pbe<^(HalUitEK+zKp{9AO}Me7Z$REi4K5Xj&q0>KE(ndiH8%Stw?AbbHL=I}Ik&CL-NI|M+7 zxeG880HBt=0oa52$;s2OOYq0`O3>N8HXQyhP-ET?sJsJoZzu~QDH%@L>)|Xgqmjqy z)pa8Q754aO`4|Tn>jv2WMckPa=skSdJwzsdwlZ1^h~RS%7TyOTP-|<}OYsO$lb zEGA^10d+y<%I2?~4x$shkV+`p&dx5^`v+Lcun(4&mNy!65!I9Z-P^bBV9boe7!q_n z5QG3M!KfA0H}Kd%YWeZede>Rh6`;L>Sh8#zYh;VnT=zAE#X&v|@^$win1Mj5{z9X= zrlzJ&<}G{8_gu{ivbx=Qy4BoT-`yLj9Eufj&CSiFjSyYuKs4A-pRR|SG(kLsDm=#! zqUqY9Q%g(dfJQ9k1Glf&&%b7eOr{Rnkj6TQj3MSd+m$P<+}yzx2 zi987mhm7p(dWaVx^n;C^UBAZt1pB}%-5+B1@mp*+WT+}s(-P8U9icA_W#IwGEhO<8c ziwH*8#X)6QKo<`gHVMd7H-80mM<-}0Za55#{atu?D(`Z4rZTmdt8?V!3!B3|?92YS zMDTho7y8h2B97-_3Lt{-8&bw#5Ko{HV|Q7xcAH}d;~YgG!sycg(nnH^pFT;vcyTQ< zB|I`R8T|2>u=zXAJ4%zVF9~v0NE&}^>;&v>k>pR%ePc2<1A&U#ap{zwPjFs43-136 z&6KDFcO)zHCnWZU&?N*gYH8hLd8Y?aSVZ%M(8SBx8~Y~_WhoQXbXAJausq$}-InWN zIfl*0CNE#Am@|>wsT!7#wimj6JL_QaWqeRjkoQ(B+)a^!hQ>cV-jOiD?WhdgL;RPf zrjk${tqEcwkmg5n{~4fe!{Bg*ai982b`5Rwp1CM<0I9!V@8H_LKf%*x4%g^D867X_gO5E|$oC&Bc#1bO7(V7(1Am6f$M z2{@Cu5XO*^qpgzeoURS%C|-9M$Rw3nAaUjnoWN39M~8lU2kfZ9@vUTmS1I!C3yX`- zjEv4)xpIZTTLQGIIuPt3mIEjW5{^Eg*@8s3u&@AWOd>$F@EHVHLT3lK;w{7W8j`w2 zUjaHhB#D5e3zMVNVV&K4u+#&But>fTD4#UYP`JVk(EcT*rCA{~0@#}G;P8-(e(OER zLlVALw(>uO*^OaU5ikuO*VNQ(2kFj-lraf{-=vJ9^`Jww{}YsgUIgLoq82mQESns} zpdVe|1w{@NZWJnC0|}{dKf^=83$57S;Z9V3EUHU6X(J5kaMJuASVHP>iNw(*qE82d z*_oMRY0xkrt(|qyJ_`|D(Bg?1?ofkM(*SUioPpt-hqzwm5K{<@OoG{HY78Q^fQ<#; z1@Q=yxjj8<+_LYR3;-pJOVz$KHg=at6bC8^{RwqvN$u>Nqt7p2ym+*WGJ#W}r4`d$ z%=fOz;H78y)uIuEtm+dlx_wvPT0nHZtSk=XL_-G!d<#Pf1EowrK;T|kS?Qh3uIYUL zUNcA)Yz!f1U>oFo{t{FD8yx@n?jNW|^1qJ9-$Qcpe|*Ev$_Zz~StjJKp=47+ns(jx YFQaa$ I [label="I*S*beta/Max(1, H + I + R + S)"] + H -> R [label="H/hospitalization_duration"] + R -> S [label="R*xi"] + I -> H [label="I*gamma*hospitalization_prob"] + I -> R [label="I*gamma*(1 - hospitalization_prob)"] +} diff --git a/epymorph/sirh.gv.png b/epymorph/sirh.gv.png new file mode 100644 index 0000000000000000000000000000000000000000..054a9eaca9c9d4826570970cd14efcab92db76f8 GIT binary patch literal 26030 zcmd43cRZJW`#=2F)U?VTDbXS`n?m-;E<&h;5VBW8Mna{jBzt8QvI&u7Br79Z*(rP8 z&r{d+ecZp_@A3QZ{^NFi9-r%zc%SF_dL6IhIG*D;1J9@{?Ap$_okSw-Qc{%DB9S(i zkO`L{aw#H){*g< z|25f>fDN2S()4w{sFMFRF!-)!7uRL`K8tPeNqcJ3cDqZLUpPJRBXx zZhOo&aqRVtec}=&(w?<}rkAhz*_@S{Y#lAUAz)FrAocTR@5@Pvzg`z*$jSEq&sX$> zbx>gDfqnn;jr~@3s(v(7|NYW@Uv*LBzki^ja`K3;+Rn zGE;*E7s%ca){7tb&sWnpAA|aT{~#yV#rpq~zibM*YGcD5R^9X@+q%{2>d&7){nwU% zO3MdijDB;T$g%5AbFNECPQJIt=;vGKaf9KPu5NA&;>`S{r4V9C5@(+6_!{CVbyf=Q{DQeKRt3#O)I zJ9g}7YHI4~a_Rm!Kh>|Pt!+MVNIYS}bHbPM%9Sf8Wo2(yn&;%?&Wh`T-)Z;d z9YDl2rs0Fz^BlQezI>U1t$7mp?bhJW_8)J~z1!zoS`kPS%yRcbexuvO@cI_<-@0{c z1O9Hy&6_uQg@iudAlvx+S4?PMz0axutLN`iV_gMwGUTL_1_q4rYA?3jks-6Tw%*Am z#a!SrDK97IE9lTSoDjK%)YRO}&cm}ij8pAaL4o+2H*YBS?D2IPZAp6k@`~7pf#wu_ zKF1-|w(s9ReE-g%Au+Y-ZcxyJ=g$KZ6AuyJEHB?!FY$Nh=g*(pJ*E9BY(M2`SJ%{( ze|av@+tWj`u&|Jmm+!;sGOjrESMDmDZdCdG_wVhzJW*yA7QRcL_b^Mip0Ozy8L@hE zHgf|R8Cgb7j$c?94fZX=@uzxIYwN}aX6{Fi9{C2+aFx~7?QUslp_lfSpr)q2{z|1e z@o2NRZFh07ukWT|du?s)+w~DVwQ3?GJw31a+*PxmJ$ttA=+T!lHQ0o@ z6fR$mH(u#}*)nV4?k>jaHb5mJF0L|q_wL3M`xYPNaRZq*1e z-SP04qoxa@{S}Q7QxYyTw-C?mx(*I+N&BK>V&a^-y_Zt)Ey}}(56h6VPZZ4=XX5TP zjf}Wk(u|Ilm6xB^)qR|Mt@qZoYu6~1Wh2ymw^e$gyL`nnG}9 zdB{$_F)lLbEOgV}LrZ&?LTdgb9wUG_fo-_fW)h#*;&uDJifx+4#yrK#e^kg$sy^pG zjdL0_FmO>*Pmfb-VStA02`DU- zprWBUKnl3Ml_Ggun1e&Et*tHK!2tzjK8}M21ABTdnA+O%>}C;*ojI?kr2Z95t*l0w^o@p^#qAs0`_QYW45mzpn+ae0e2l_zVZ7u~92~Ciz9Uq{nPx zDx1i)*Q9;ks|yy{Gg4AgW!>E-=4&>YY_jJ1U!5ixtB3%|o(YwleMZ`c2aI!a9Qr~< zsu-$$(VUZ-oJ{@d)vL14pOps&2bHEm8HJSlU00UoTElm4-S;pothpsp%FBR6$yvM+}lAiu#_UBx;Pr8$j zUyhQ~az%w)QHVy~wFT+fLST0#oVuQM_)_uKVNM2eJ6pJUUp zg+!dn_8eMTT5QPvBS();^@mDtAWf94d85GZ`8!lwo@rhc+jwYrc$l1mqE)0gIC$3< z3f4C{JckaEW7QOulup^&+P<6WR#T~ukWyAwzF=*=gCyd;Eb_|pkJ554g->Zhq<6b1 zUm_8KLgPMmc6OvIvo3j}+{5*~<^I-P`YP=gEiD5xGI(!eg;)n1@}^f7{{GA~`?#Gb zek+SJ<<{v%epy*ry8{uUEMhgH3-j~W6?e*Y)z(Fb^O=@y8fJXW_axGqwWfYJ-Ck6Y ziHYeRi#V-92=mvriCW?AMsQVEXYLDwPsvDo_wF?a#e<~J zz6%W8HsB!oCN;IWrDpKYWxEXq?;@X6rj2(B#hp1M*tcQd$1_Go!3fr~1_ns9>ir8? zF49EjGFd4y#qYtVCVhVfYlzh!8y~k{TbWY{tc_=8X3k2RY)+xOA@0;*7!&uij*>63TYl z+ejW!)9suZ+-u53aQe? znNehvU9s`;`}gf5ef|1X#B-jPG*f*4GpJiX}$E? zPSUdzHsLKw(z;8TnVAnbDfY@Jrkj*TY#K!&=EeTv1N-pV&xGw*jopV29y7@LmG;x9 zHB%S$vB@~W*k{FwRGO@t(la=C>C8?SYYoTDUmXf+M850q>-+spL)vn>M2g3_kjSTf zsQGRAPDlUz{X6wlfvq=K_(y}{V)5cgik3K2!P@E)yYI;>R}$M7 zN+8~VxJ z?3>~>B12rdz4ZGRgl#(;7)z2Vbd|mgT~YB)&YH_Rdi1F5#fuzP*4CLGbG9O)qS<18 zL+vra2#Hti(b6}cyidx?(ivUdDJi9C{rvg!VNX>a#R!<2n6R zL2IY1|L%{iCO*O8;f#gzeL<-r<|R8QD5@SFRO$Kki=2**Zh73!r`$YL(hpryFCxvx zVJ9gdG_>mTX$jSXeA?py zjn}+#r==I76Fb+GlbW8cAS1J(v#V>WY{&6LNxgIDzOzr|=vV}-MESFpm8`AUjeUQ& z_1)##hb{X0`u(LhH)gzj`|xwKh=@o}Tc$ZVIr)v}&lxz?!hQM7D@!XYw|LBseNZ`G z6q_@Nh(SqDdi+_$acC#fGn)Dh6cnKal@>NO#QF?d`1trNcdxCmy>cH(a+Y+NnVESe zWKG-H*qGrmX`IdUjX~h@1!Sy%yLb6Twit~+7q)vby)6OW%hJ#g^g zW>lmudv%pStW-S64^q^78TBOikrRn@?;tGUc-uFUs+B4teJn zD;|w}JC6vtUo)7InRyf4D1mM8V*&yK*qAaD!9~HKY>;&$oP`2(xd3DUg?z^W=XpL=e9hkA)-9NBYA z-uaN}>FcRgtqJGPS+CN`%ggWQ=hrg#QdA@_UR|_)DekiSfI`UCuf@nev6GW}-f2Z< zXZVN^N?U$eyhcar8r&x-DfzX;$0yh$qNPDMEsg7?MPrjtx&+!z_W+b=^R?BLvl$o2 z_H5rQAHp2?<%??J@}HV(E-v~lqg14G5V-AnpC_O8AU3G_xui8LzC z)KnE4(BU>3&MRYvQD-h7#9jM?g(;bt?=>~)NX#^8^9l=BA>ya++I_muuBfV7F*Dlw z;PK--HBXP5kF{lvdr#2voDY~RSz{$mLRO3HR)ZFw{Pu6mvP)>rPWvQh#j4?~yRI($ z%mgOd$takpTb0m~=QK)-CcqwH(V6e0vdE!v?i>S(qWx$K_u=Q~QONGz-L9jj7oD7} ztbFY0N#5%v`2!V&k*j~_QbdGbVz zP5+?BO>v*CxXo5;-*B7{H&qod=YJ=>Es_HN(&rM5P1u^MR> zkl+R)5U|}89SME{2eY)SYy%2cV-BAE+V$&?sHdCW>FVfQAoe)t>hn6A_L${P^t)3Z z=}a!5PLOV(Hkz$2FS!1S@)vy7eLnB)%a_b(NVASG7~@HOmiyV-a%`C1zJ1$7-FC9- zain!U{XHY^3ERPa9y24&@zvLC21jm8_`FgQU+*>AA0P&RtakOx&{`=6-k_k5`Yl+g0FF-qppTq@?8fw^o=)g1~$`2%N}gwrO^< zJN?N3q9>AwRdZY+*L~&)PCIdw0B@)?BxfGUOMqNBTjDKA#3GPNG=invpQ1`bdd2r^ zjKaoT0Za9MCMi@hiPic3`Nh$6G7>^o>Xq9N!%li$5)#hY_qHtPTP~a_sSg)YN$yP* zTdR4(UEUBSo6YLcTXu)|bkc>1&O98xH2Dslnf6`d(njN!6B4NZ+`~SyzrIDbn~?-- zKK|;62MAF1O3*nn1(L+^QuHC0 zesMH@Z5*(P^>Ui~tJ=QK^fiTKH7}mf!3oT6Ia^y>+dLoeGAJmh?m@0~%Nxz5bFFs@Gh3Lb zm%8rJ^Og1VZ*<}0^qef3ixq3l_x1Iqml$y`y+PJkbt+p^Ej%U&`IG1^Q$raXCaxDz zeS7$~xsjgKHJ;bu){qct(7xuEYv^-=PF8y{>o6y$e9WZx;xO0Bt?_7`Z6jEaJ#=&` zD&L%3I);#^4eVa(>TJ7+5+@=iX5~5A({rP=wDj`(uQ?RDfk6{*ECXrs&ZA93C7bHG zP0^>}vq;10+Cyd;&EHsyQ+woQ-^fUNT9wx0F3p40cA!(%V+$+&=*bfhF&p07bw7D1 z^4_*f22BU(pEw&`JKkaUBE-p4>V6`O=7Q-!Fm2tsH8oUJL`2b!QnL!J#a2%*FTN`c zul2_L2Y+UnFXVL(AK7|NM<@23T!_E_*0=B8HMf9g>}}7sZe%K7v{HIrndbURiDsQj zjW~;oZP>W+L1bk53C(ktFLUx3<#PmoKDdA6YB*%SXpbUzIjB>xVv&$zGTws@#o>;(NR%kpaY4r$Ljuz{j8zk`_asqg#q*)Pag>? zDJtHV+VvOgUXJzEhzMk2A~TB(*+kjr?Xyv_v^)%~7#oSgd~Lj4D7fnSN>@jFd-B0% z78VvzT(4(^)2t(M8aKrn$;xhYp8OGv+F#hbWVRqWe%5=!rTz0M;{xYh$BU+^k>Rt| z>AkzX=6aC;D*%xLL>-6rNlUY-Jmoo^Zd`OmSNBrGl*eZ`PVP-;9GwhMc{ki3GDfcR zcsLrP9Kh9FdMVG`YYq<7PkD^^odd4Zp?8u=(qR~v{Ng7e`5p6J_16M_;^y;DF zm0827YOcrt0=6GBE<7u-H1@6!2V$>wyed_Ud@wcm!?JJRv_ayKlMLu^^1c?h*ir4- z!%-Q+auf~rN3@S0P1Y9mGp~Nz2xN z8r7RZv!q=JSkpJtYC^Yzj%N?SeSC{oqv@{_MA-XdwudW9*gJmB-o(AgH z0Hb-H;2FNW6xAjk&8+(2!M+HWA5=`jwtEb7u2KQ1&~a(J+5>0-cIZo6Ld@x`qAgXG zmB}_SI!ABWd zDh8^dc}Ja_zPqIW~-$k|-yQ{oowU&&6@neEsN2#HX zii&ES1t4i;e3#QY@yg+ql3Jl^z=_2-hX@rU2mtB=xEZJe^6KilLF3}PHvuyyLF@`R zyT;1)Gu9tre$Xa5EWqD}XNr-(u0O2dC4c4T(9nJ^E``N&`j!vkV^Uu*xpiH)cXHBQ z^4;O&B`PZVdwN>%mncBaGf~IOFCHHoxq@hUbuzM5!bauPDYB8#QK8wNfM6696shUf z;B**6aX_5DH=ax{{IgwZZP{_)=TGZLr$&x}__+u8fAP{K2Jt=nN5XT~MFGI5%}p&W z(TR!Vs7y#4a`;pPZIV--eZSwd*SEJDIXOA6IXi=Z4y%l|DSG!#;AKPv_WWLx!-#sm zJAYnEl}5ghpy2D+SUGpuGp$;n!Db!5wU+@@xOZL6&&|)bdgEwsZ#gG6wfJXluIhJh z`4qGX+(iVic(h)7qiFXCLH6$-Awwc64fqcSom@7%fbsisC23sv`0^ftK01JcqaF{)2dvJsOFDf-9p z%+dPk#sC`rVEWK{Bh|8dO`@W3b8fda@D8Erb2eUFE>1n4N1a|YYp}FcHg@xW#4<5r zJ6^vgVH=67cza6$WS%*5<_4Nq?4`;mp0)XvH54M?zTDj0(%RZxX=!QnV%HNN<^F0; zc{=Tivkx&M#hbVgoGd4rqLLIJx7+I!xJ1ja^zw0aqKrvQV5$g&r0XK zwwyyAGd`+uZNH0)%k)U|4r62EYmSb$wUQncw|8{B*AFw~=H%Rh9jM%Wd%BcgtLgiH z1V72T+84qv)NB#X#Jz9cyxFS$U3T^ztt2_(W_o*XHZ+_$ocCJ!YC(Q}S#52qHrHMV zYoq9N{T8r&4P7hDIg&KPUR(Kor6l@-rPJql>k))lRkT1*NwVaZ4FXT?4+(q z$2;|-R8*RVP?;JNLZ`pFPTY-O6982dihZbcr0s}a@jPlfHgjI2^58eg+0T=+Z-ML&R*S5 z^?-35bOd}#gq(LjEbR8!*wynT-YiH8x!x;cSe6I)rgdvtk{at}P!B(fJj%a)qrt~L zlW==G?S*xZ<>v%&lfSwbPdwKi)$ydNXGYZ^vlHEEH8T^A4Flt&Ye5=sk-`u zUCD|c(EL8!_>ubkVbwho6T6QeKMpmf)ceJ+BAsrE6DR`Io11l>lG=LkboC0Pkz~_og;^N|)Hf`Fs zZ{O?h?rb>lb`%iWDnM{=at9A&9E?Sg%b|~#18-4NyQY92ZyV> zT&ur)!Lf@Mj5g#9Bg8_l#pzS{Jw9lvN%sP^k_HrBg4+JH564kCjvCU~&l65gPFiIW zz;IxA3A6^#dLIf{ZmvkS@X+}9cw9wpXefoJr)O;BWZqBKLwoLqSg}$uQ2pB=$wwmx zJ}1XbDLnr6?Hi$y*`zGGzD-X*j#j2w>eblfB!!`&;ei}qf;eFW`blcZ<$)s6=*f|6 z{Stt`zcbIVE!&!oUqB%4qFcX~joQ;P>3@%1D!%keaiwy1T{Y%S3lfx^VgO z7UZYlExh~pZ-5dJW=kq6DiTe8fh*)QqiYy;mwy4a3@dHPLZ9KY=1s`T&}Q35pQJol zU0DJiN;~jEUXHtB-N~Ryr+fbVJ#hVmZra$2=1@sUNY_b_o12?h?$;WTQom*e*T?Yg{lu>`7jp+q>#NIDN!r(DpR8f(&{o;YN+llLhIW-DY%XC|=L~ zV|_h^*V63i67Q98?l~DbmZ0iuIQh})$B^Tdol|I=>xJ!pY`SLAq)p_l_jV?mwr)Le z(ZV9W-$?Gbg7Kv?AZNo|CDeAX_Zeo~%v!td&D%kA3I}B(7yv2v}j& zEug91l(|ky@8^G8Ij9O%#Q*Ql`hExtxvo?D!6=b+GUOrtHlsojR0~kuQ+fVf%p#P; z;kMmO9Ey4~aM@59aWmFlg_hO%jz8;60n6s+`$Gx-hjio4oz0Jw4+4Bp(bET@Ra0(t zo$GX@kSCos_AimTeB(&;-FlU83H)hVQ@R> zSwZFSi-;14|D_Qxq7g>QP8_->a3a(=aLP4}f2^u9ANumVa(7I#E0dbs_+c)tt#mx+ zOFstD#ib`t>e9UKXluK|UC@|rA`KRsK5w&JL<{Y|6SnhpN^CV+M9p*Ow)Lo&846h` zbU=Z_^{MmIP78n`OO zOJh`HrKkV&@Mu%lzjN7T0!2bgTibr3Q#5;E4#{<&FJj@2pbRJE1ZCHyrKR%r_V%{k zb@NcRDEp=~+w zn(UfIG`nt@I4>_H9!_i5>Adr{1HX{MaPs`Y!X$CJ^{1nsA(8IL+{A`kaa4PGdd?3k zjeJ=Tz38-r`1mcvCRc}XHS;v2pU>OC?t9%nE&Pz8(@iNr38?+_;+{kaj^UQktBzg+a2-nnEMvndaoVpZ574bQ^b^D<&48x; z$!RyzF;vtK!`~8!>m_|r0!IW+;VXhO+t=mVHC}AJXd{vJ0upJcWqP28KsUITMc91k zjvLDv8L>c#BJKt%r77+YtWssqhudGVow&I!y7jBHoohdXC)2N zm$-@cI}=2`2Lyv8A7xVFO}=Z_W9lF9Gcj-bcWO2Qa`iPOX#>|(CTS;J1Gpo6J1B&} zZjGO&KHT2g4~6U_wgZ+W)3J;sYg5AI6VOhS@oRqulsLG!R1OrQ7uim_W^exiPew&e zy`OvImYon-o`gcTXYtZ;0@ZtthJ%E6G&+{l?ahpaKf*FOj*P#d4{hZjp0QYC{ zbKG3&FHfRTAeEMv%cgD-oiubmww`-_flNYjyAS0pcoyVmWvbzO6hS{&B8Fr9W&L&% z&kjUvGnTP_Faomjy;t%LZY={kA3AjC2Bhf4xyj=PtNeGf++~;bgXmP*#;(1z-rFW7 ze6FrOrKLsfy)vT@^@;uP;cW*G9)ysf0QZ*PPKH}J3OgD2H=R0lDg)Wa`O|uikV}oW z-UL^Oe@RJ6JNX}o^mUF+Me9%9L<6f0`@w^!$D=2g7ygnaJTG4R@{EsO(mhM?$gMy- zVq5l)97Zy@+g}yh5AE;cRDab}hh0e&whFtir6qCf*iJCQKRp$VnAW4T3l!=u^$4+p z!Sk!2D`0%P>F2ivy`yPchA9{t5kCsHkSJMy2Y!b2kB^oId_~^l+{K}+sCd%Bfgi1# z;7DjFgTNLLXjt~?a^je2>VuT>2P-nXpPQYX45$ogSN7VqjO!0hIFFqL4M8t{{@*9^ zB!FTCN%4?+00sg=`)vB0k|<@*L{EK*WS^1+OEK$Dvfe0qR@8`sLNDwtZ4B9^I%{~wx@2 z>uZeGcs{l%sZLlrTw#3=FPM=a&<3L1?IpoIuAV$b$F zndR%?YXAO?3#dlj-E82v$Vi}b5Ag9(1qKEZH{I9QcLqg0PAgCvwvxi{iR8%a5N8sAPCn_iar9XbKB0d#VRd*80ggYrmrfln_M#F@lVsgBGy<#JU z#Eq@2uB6h4Q(Ew;X<0r#sPZJSiwkDJ3)8>8lJD4It=lz)J{7W2X-!Q^YIx(pf6TW! zAk?+xdHdn$A*^d+TACkr9qysqt;Qa^%q#DGK;D`Uk^Xlrii_}5=^4Z!ae~;=I`)&Bhi=XW~f(WTWa!qxtkQG_>cc@j1{0^vuPv zRS@ge_+)&IBBg##pi6Q6{b4K7B?ea&udRAaPj<7#$B&ECTA?SiD%q;5t2^#qm}WNK zp4})qJRCEXAO2*z3#=Oz9bIeP11e1y&Zjj*pZn#7Fa=^8+3cjU@^-y+<6R003WS>a zOwf`Vq!ASi7C_|(BqdkUmR4XpA#go#@$9eGe+bEdT|j_lv^8BpM`sUyp3i&Pwc_JP zB6|>)kL}yHUqctO{(+JnC*0>IY{u>f2DIzAxrxH)MMhXwC}s9R8887;-!h(fFN0`=KN1@o+ZPy8u)U40vSK*%9&;0SC^tadC(Hq~$BpkHS02dz?7Cjy z_|L$HNl1UV^RlWcLUZ+p;A&=WZa>v``h1})6`R*I6~Wwt0b0*~F#$nAYIkCp<>&$x5&D1!U{G#3u`HV<%vtl`)rwh%X8oq?p(;PZbQakO@ZYt89}6 zJ~lSr@%6ocb30$Mwj`|@DOJ>^vIltTvX#|cEQx7TqUQWk_gVaSn^}Sm5bm_=pX%!gsh{`yuQNpdiAW>%0;GBX zr~uE|?-t-{_-RlT407}GOc(wPe){z3BxrMV?3r$VFJEoX+D2Rw-W(B&Te}xuiL-Aa ztkNhEpu()i`~$D;?{|Z|eIND#cq!=#X4e#eV5-xxo>&(!h~-Dq3vYqbAZHiMNli^X z4ezsztSn)cJs{UHwH|F&v2Wi}6BaQ-0VC@5$GdxpK9taUK``~g+;9>`9GLquWg#^+ z;Us3jNQx&aYiinqUamAIRO+tu+Cn{Xu;TI`lkNk}SbmE?6?LYxy`7QJjVHPakPF$> zjOSpR*hm@~8KI=3^H&Pv`~aOAmRR!b+sm+0O`pXDBfd-_DS`0jg!tJrHg=CNS3%YS z<0FU6KztK~qQxt>EkJKJ#cZ->t#h4mv9VB%x?j6jvK&5soC4Uy_xA0LMAl(oNOBsO z3T6`i-KcW>1MofUcK~1&j}B{J``vRYdmJ8#b(`R(O~lQjcY`yh3@|+ItF0QBgsQS~ z8I&VaI2C{*?y*U;Zrir4QOZeeF{!;lPN5 z9n?P0m6=w9IlxCQsnvONKC~``yBWX)y@~%b{!4eEy%zzG->vJn?y$Rh_066jt)#2E zOJa>ElbcDIaNGtvx}yRXNJ%51j*HqAPRVbT^CFDmSRHC02*%Ly@9z`{x#`p3pA+J* zq)J@CRGGhkdm;PWP8*hVK66cOSUKS6QuKsH3yR~1LsLSRe_5BqD^c;j+q&{XtLv8{4}8l0^t(^ znJ+33{fVp3+H(Mhk=PY*>;sJooC!npgIBM3;2Pw)$p5@8*FGj|oRFc=9ufDSn3zcE z=H}K|R0_z|Jj(&x{ug(7+ShKs%7*hE*FTymvI+fA=wI!AZx;!AwDFgZS9X?kRWK7564fCXUbxW^ zbK>*^90}&C5!!0hnEb>|KYgQ%Sd?XRD1a*X!}Q#@-8;KxY&F$vc!Kk^0TSryT(VeUaWs`&fOJr$Wf}AHIBf z?ELxj75Jd$7887o-09QnK72d7?jd28#pNGHc@C#xW|q-s19UYTX-Z0M_m`St6nFxO z=mCBkO(Qoc;HioC_h0smi|yA?c!{Y1W3QQJJ(kupT?ZKm3r!FjXL3?BsJy<^_dlqy zNtL@p0}@p%Yn`T`Xdfd500<_h9zS%55~QC&7?hx1#--kgRyZBD1`ZvgA3`r51s=;1am5054)0+KWg5zuOD_)r{DK==2?DknJ zYFS}u=WL#$p`n=(E557BNdvmHxgbJL&PL6t+xioZ&;CKh{N$mBy~n~DE2kqCBmq_- zhE!^6NZ!#mcH0bv0vOddGLlU%)!l%;?2#?jB#|Np8uOwzjELI zY1P*a9*_S&tojjFMjmQ%?&x8Hsae$0ym0k@Uooh zF9SfrBz>t^nd=S(?P~U;&`rd7?3oVZL6iw1V5%@L@<3TPk+8Bu#{g9M1h-8AcY9Wr z^o*vK)&|h`q*4N*BPI1w_{?vVTABW~JLuHM`%+eKEZ0&dI>MKhtkhK&9p``d8q766 zJaNvzVE?gWUtafvhR0F+GZB0MfR~{)AzE(Fbu`Du#jzhaurWnHUC+=CObi&%{^LFiJAQcnRYS*Q)Sm~Uf}o+- zja%T>SoTb@Ocws#4OJ@x=KSC)LZnvLYufDQ;ZY7TtRED0;6;^;-gMXf`7tfXH&>tqOu6FZKW zfOG5)@>|O(j%48kUEw~a6IVBX;P0qFftbR~8za}ebJ>Gl8`bXT-MVWR zFgcXqBn{I@80ReS#S)`hq;w#JC_ZX((okK*4gl*2aTnzSeN0QRL;Wt@NKsl}pMF5* zF*$pN~@INGCbNdIPy$l|marz~4gW1(z*&*M3Y$HoLB(Im&va z-8`uau5p6V+;Q&g_)5W9Jv~26JwZ`7o15r@LCDH!r{50&#&(7AB<@9;D{e2YuS5)s zts+J5^S#o{#DnR!LFlAVTILrQF^I$l2u%=%AT1z1-o#iMk$>PfuS9OYm*@DCII5rq zNjFX?`C1oL>2pJqAzEh`oW;f%L#ltDh@bp2iSdIwcn0s~DFwo_jxudE%i`cQ*YT`a zzzA}8AFTMLl5?FK;dCW1&*Jp32w2`MHILf(VhqixKI1(#s<;n+Yr?-wDRTkf%PJIJ zEpx(Cntwg1&N1Fj0<44PlI%-hW759;`(h<0y|n3kbFYqM{5WN*0z~?3<9o?=hoS%6@uSJDxOObpEa~C{My!-_qRL zdH`Gw#vWXI@6h#NM(^O9n8)E;vjJWpuR$YzPD;@V{$;y(+1trUXg9M62@X-qo_pxU zVSp!f9^NGY)J8xljM9x>xbYu1eX98XnCYYSA2uSKQ<>x72ZXKao%5Q}oAmT5Op_3( z0))qINHI@YU+|f4!KlTLX!`5f38JV~9#%oCI+jW=2r=d1!|1sw==fyIt1ilNP1=?P zRdh11^Ya-of&>;olBgaSL`jtGGvzM~W|45ElwO&p!BCYS5HU0Mkf1CGB@PoYrnTWh zU|tC0e9qPH8z9Ck|1PH>a2&pPJ!Y>GRky$Y>f(fc9N0%<NtuIC#UMO z8$h7v+Ii5Up@z%CHY&CF>i{uDgIFkocYz*dEzQkJON+#S zgLTU>gaH})WJ3OjDbxR{vAfdf@$2xR5QHTR9}zzt5st7Hlw$$|a>0?*?hMn7#MQ|* zZu#YzRy+lt)h3XfxA6I3HDbj)G1qVk$d#y;?7q{Pg&4lvK!OqBI%~lJa8j~A#jVjn z$Ooq$O-fDuh~oSkJ;#SHUv{#2&qq~OMT$Qp@<7tawPbGv0N(stkmSp&tGB^1UkXy5 zFy-PS&0z9nJRmUWAd0ci2Ox97e?i8N0_@yM!CJu;>1h^A`zt}xjAGliQ#ina)Ypxw z!-cGS`ulHh-a&f-hZh|@A<40NjPVT&4ViW2J6Sop5#~068zn}+z$Ll-aN8? z9r_Oz9}4ANAZ8lb9TrhJZ{IMMRji!e2U4cLY=_tAS0ykJOrQa1B~+>?cJ0~=4w%uN+b~BJ(ud_6lXsVcud97`J(uTj z>BV@}{kC11*N3%C!LZt^aaTl)ni{ooq7VxH5?O3;O7s2y#I^X(PkI+O83d(h2dpbl zjt>HnbAguMZ}Z-!<3w;9W4AuKp+GR2+kw7NE;XvDPXMWn;w54``vG$S2eUMxBLUy48KWq@%-A3RD09hm&lv0`O`Hq^;kI$v$KoC2`5C21*WP5b~J2Xgl=Xg@B zc^J}yMmF?8ps*T^iH@$wFfA9%u?ydM9Jm?^nGDacKd``swC`SHWvb~F|Yo>A>Oh6jZ@jy`$w<`^+pPj<5K z&*!75?In~pG#1)^g(sj-g8Kg+U)6etkT9+6fR3VFCV#*rpndf4VJZ+0AXmHFqOKoF z9yshoVU#MZ0Uhch|G9U!&q9P&#%w>Fm^A4ntNFylxpDpQuZy`yOp>_uTd8XgmY?H{ zi!cI4Og`l$409GSMTd-d572-x{TRNtwfXA(;>9pyu6DGXP>?fB&A{dINx?XLyGVfl zn~VC6b8~|=JBk+tYy#_TDSfBrDm_Y_6Mt2G^ zw`ju{`kBeD@FqAtVrrL|oEGf&GEc7F3%Y5NaifzrJU~RZ*bCwnc@uqJSsS}0??CoV zffgDnP5rQ^Pq)I@6>Ob?vvWTGx{~$6j>QO>s8X1jGT(J2hNUu z;CYZCrP#^4&jl=Cs*v+?9L{@eGWOm&{rs?cwn4J` zsnZb#C9gM>-OG`&5YtI&VR~wC=(@aLkilV*J7NZRbM!1}9QiJ^?YjEu4hJEciB1fT zU3UC_^{oV(fW_ONV|kvtk4zQL7ERViu1<3y!K*@4XZK;JH&07S3bY!dXG8~)0M-d5 zLjz4fV28-!9~W6Wi#O5$p0Mnvf8=X3Jld!diR>crZ0Cc;>373+TAf9|h zLh%rE9&2-@uva9U($3@Uds_obx8BBp2{5V>M2ZJUK#$RdHviqY#rU^ySSoG8H_?Gr zx3qKb{O(>O-43t+DG+2v#J4pj<=`34@AYGvM&nd7I#W5;F77OehrPEEM=lHbfVJxzM)A`y z^&pY#<-yN7JW4?Ul$G-Hm4`Y)^brRL05wc`W;3zw#h}OD+tAg$r1Ofc8j(#YJJ6Q|`^o(4^mwy0dHGqEe!x zWlp?M!)r?#om!0&h~0vEf_`}P=@P>iyv>1elAT22=yL9`$sf<@*pTA|y8iO0)ILUF z^!B%xR6aR-cT-5|t-Xx?D6K&X_<<6#ceV(VNq=WvNqS^qR=Eoj6FjhC(@rxv5Bz8R zp}g7vBHD&E19Tk6tkq%D(#i@i z&k4K!O-=ZmUbsR{{}gC+%igj(?RYNf5Xzq~LZucJk#yb1vs>Mlv%i2?2xgTO8(RXR z82R-Jp4+E@hC(R6YLQY#@Kw4GJWx2cG&$D{GAt3`?S@A1QpXc+LmkjAVN)CNUMvzX zJqn2mItu3sFL2_6e-|EsUBvrTg4v{v>!p^imPj5~aIX}8RhwQgAvWGs@ZKbiuGh`y zsAM@`5AsG73ZMO_ExnDcl3!dVI+JiLEP;=T#Qf`jenX@sprXMe|29$~;IER2#hd#2 z`lq$DtF5OzJm4eG=THg`4sOph_a}5K$v>YCJd8zWUhJ|Fwp@JKV+=kPy21CWCu*PZ z$-X#Y(}=fOpc3dE77}tQt>kNP%-z)`NG;n^f=LZmiYODzc8!47F?f41a3Z%qgjGYY z3F86i#H^vE;cW{6Uk}+!@m_ut%1I6wsE>gb$g0yw5aH5b!+pEX;3~RXwUd81^TXw zHFtJ0XV^f1HpsbpuEf~?#9`tlZbW?gYM=^h8PUhFwiPIlqG zfOj54$(J|Ydiwe)F)`&5oZQ@MJWp$uPdnENwQhO?h9eo%A?gX*53fVA^50dit)=w{ z7`3byXTowQO;hB#2a` z0iY7-d>R-M$RB%K!=VJ4DI7y#L{8aDM+Yv6yU!KO;$QEA_g5mPy1_Mh7hLA>?Ilri z;qRz6P9XllP;K_S75?N&JV^X!k?l{QqWX41jl%|xd_8+FT^^iRUFQ?TG^}J@K5Hxa zpdTKEg?+P|+fCf!$!Oq|dklJ8{o5YMO!RCY!i4wW(9jX|((uxv95v&igxvmI#5b+r zmLa|aD(MTU^N_RbMchn7y@8>juD(7U-vH|JSFCTXIrDCRcsRbC^Z@=27jv>wY#4XQ zGvglu6jVY4h1LHIs~K#BtsvWV%4`>#lmut%CgNr;@ZwEd4?4ytoTuy*8r#|uiD7<6 zhSN6kriNhp09Gt)-x*+w&D({SJmu+klQdDAwav}V-#2$69>}VKF{L?Hw3lZ9?}xcx zdpYP^gc8qF6{N>+?~7-+B{8sUka6Lrme%}UGU9^t?aL*PS=366ATx$m(KxWKo#~Ly z;yHR$8<)G37=a**588I|k=j1F)IJ+GoKnZI|^16hk*w-W_O zwvVp+vA%H<*4zp_vFGB>^^06zPRWkh^}YmT%6(c6y{H_`iXoGt@iow%ug07`UQRHt z1oASUlnJ{0ry6XMle2Sp6@8cnV{@k-J6;%LFSD}$B?QlS)#uccro<*?rd{yBRZVo5YZPp^Of68iV!Q~O=8T)o_<>fd{JUOpn{(z_G6=ZqE$Y-Vqqg%Ut@p zue;`GXFb#7v*ACa&*+-B)Umd>c(I~)!oGMvZg1cJJ&eRV2f{oV*Vj_SWF|+sptx9S z;Jn^S7Pv+yaCq`>8d*ghIK~xtIVk-${tC;JAj160>aGfQy21SS{e@?-};RFYa5}3i%Lp?C>{N-7VD2cojx>l*-hdV>w9MS zTy;tvv)KW*W3xZ~=O77G%-SiL6~>Q~QyMGMdqcn1)zc#`b(fc!{CIdZ7vAHyLCWX^ z=R4lyyi}P9hz8%sXaBpnMdmsd?{jiybG4S>YDM(#5KYj%<182^J2W^r<+-ckWZQ|u zQjvE1s=nHR>w8FPD%HUB)wdH80GWXBQhnQ)L*6m2$YX~OKlnC$uRnsUw4rA`+g@FG zRo>fx7Z1ECm@GDg=9CUq_ShU~h?jbA&PLtYL09RJhzHzOmH1`Wl`!M*n;3H2z8Am9 zmZHQy?p%Oz9$DI_HF1!e(Ow-LkX*B}S-i6G_72JNo9wSqwmV)Cck#!)Xo#;eq5gl5 z91hy_))YX;Gx*75NFJCbJ*b4SkVObD*}!|;=ibU8+qn-tw>VZ$ST6m`zy7qxrdi=7 zVQ6LbBkMLJUHHYmb8BB>cD62#FU~Ql zSA>*TyF_L0wL@H7RXelF)ue_U^7@Fa^g&laB<5+n7{D3^B6oOQvhmtKuF*{`Zz2SkognABzxfvHuVd#afv2j{Uiyoo8qW*k?zhedkbT-%IqP)BxQ8wtiupWwXtf2}RP1}9$-jf4* zlL%tR$SWQ9FthT!z8J4R%D8%}uiKpi{q1faMiTX2Q;`N))K)Nqq4W;If`XfL`WO5= zdpU`K(L_#Xp4>^|rM%~M4&4-o5=z%1-W`zU&+4w|(&hA&ctu@=gqxOK@j^U&0Ic;< z8%Q_Ud*Dj{f111Ycqr30Jffj?(puG8$J(?OTWb}YBuY-JD9bpXIyj$FB!?8DEtP6T zR1{J(80R5GSmjg>jmeos$*hsET8EkMdTqPE@3-F{`|sD!A7O^~ectD}@9Vzq>%M4- zG9nZ1-~X!dxWcAQHwRC+xVTguGCzu08=L4?QJp06#%jL-{yzdBIAL|KXZCh>O_UZA z$;d1qpa^o?_?tH$LUdzv%>+ZTpF0HYu3Q}VT>^bzO~KT5AnU8aw29a-{Mm4RCQfqF z8|xCkyAG#D);5D?geY(;v#i&rV(Pi(qmdi7P2R|-F7J>J$q570FRyl8w5nj+dy4S` zH`J-3o&gl>dtWi2z7hAk##_Mf>!?A)pt|AfS81hmI-S+p>MVOWs^{-maLdFM%OoL< zBgFuS%jo6h zcASpvcJ$I20DJCy-XeTdco_gKV?fL=eNRtG8MUSG7hLU+H>(8?oE0vFeU?!h1ph#= z+fH)r#$V-a^qHj~zk7Il$Fn(VbQ);Y0F;=rmPeU|g;sa^2mKOR>?anTxGUoKVqM*- zM}@!D4^R)w7nrvAa@T}-^xT6lQ#{rdH3H zA!osV3YC8nhc~6Mys@Fd3?nYLOfpd(F6*%0l7L=DDoleiGBcAc*gOtK2wvxf9+%L$ zXE^*OtlE!~_%CsRbQLv^P33&=1Od>|w4@>!wXe0bb1t25O$l2!X{T(N^AeLb0mv*B zc&-aPK~k-SvGGOR7IC$3Ilw8QJ$z_{M}lbVU)Jjq(mA2co(I3Lqrcch&fyW)%6 zCYjjCRl&e0rI>=uiH(hon*qCt((>L)Z9ahZhFd1fb>(XNY-LF znaLmJ7O{#kV_w8$8k85euB@%xe15XaP3E&6Rr#JB*EN=r=8!DKN_)9J^b(}Ymz|yN zvWNHW(m+9$OF*VPz$zkCojHq9x1HHA-o%-2N5u_oY+u?CDp~#*^e8Vuc5Dm%;Aeko zB%at6P>!J^`FYwwK@xe7Y2=vOtQICNs-}|SA#7{R?Fy3F(!}KkVBUC8jpTG-14Y~P zi|eNPwAWCsQw<{ksxV(?Eg|8G5hkrxXk9Ta8?N+hdZ*=wRDt? z4{_$<=0FEg)hOIdYPqsQQ!`+0+8toh#DT%4+{F21_4Va|)q0SYri-|a-10tXCo10- z@QCOT-^X)Jx?6;wjka!+Q`dN4^1S4P9xC(Z;`MkK4NXnv*o;8u$kokN!N9FZTaqxI zfH(n})TLO^$k=%6yp5)`D0GSL&{^R7g3}5sNjeLg{)k9A=G~dEhv5aWkQ1w1bi)?H zjz;zT83b_>nh(dCau?~Pk-A(6Xz~7ECZ7XgFJSK{B_|6O1Lcgt>rUjAI@T1HZ93Ps z0Uk{SY=^~LE1JzsGtiCDQd8HbONNd##6KFoW_+S?GgHXR@z2m5FWbMGL{aBC`Pc?v&-$ z@TZEtCh2&6u{%#}z0`(6p!cUkD_%VnN$>9NMyZ=c07~l&oJsr&mvcp8`=kboS-V=z zO{HRWG%y_pEONuSsQs-u#$#%8yZDJf)EW2hDWgkZ=E6kRhFU{4Qwc`#(YjcIS(2G47vEym5rO zTPpqq@2S-8{DT_fl~)c5cuUJEj&fIQR539!ItbK}&PZ{VSH$cVh*N>P{vcgPcImGk zyA#C%ZXB%LNzo4dkV}{)E{+;#x1k4j#77SB5+-wsr*_JE_myjO)SUl>*)5Z&aMIrX zHV6cGQ5}^XlJk#A4$V(bk7CplRa?cU(p*XB+;AN)b0uR{v}RIfgi-0V`UBMqY0OFh|o#LN5#DS-lc zY}SA>)4;%DK;EWYNum(Fa7yAdoYaikQ1ET;PtgwN#eGuK>vNK6(E}7Jur*NFbe9HL z=eW4Cl9ELJG1RYBsUvb-(IHwb6Enlo`d{~cuCI1{8{<++-QH*|t(;8uVb#50FrFQf zjfQ=<@ijDa(=bXKT^w@TwVZj;L1wh*E|&m4+->|U@zF+D7r|HmboEB}HAKW{Durxt}VE)xTK z_8=v?Dngh(C4*!whz61{s&nS|d>?oB6}G>GVR!_6FxMTR2dZieY;2PBV5 zdhx=ACdTI=LFAXwonD5UX+~Nka{3!zIZba+|G-R9k?>Zc)YXPu&5;XrpnJ|5xXCE< z@TDi?n<8oszfB(K_*D8O;@2f0z=6a8BVL5=VMUe18+&Tr4sax#3)9bd3=hoTJ4!g* zldmVn41$;;Snt)R-w9TLkq(9{8Noy&ntP%UM{F1QAUDoag}oW%9~iMzPkp}$3=br% zKbV-@csfMz7V&6Er@Y9t^{uc_re?LETx;$-iH`WBP|Q8uW47Tb+S~19MV<(Fp5$Ep z9aEBOg8jUmzTsEC-=0WZhl(GT%(xApW*WfE0QjLJ+4u27C_Okhbu2pLF%63OYy<@; z3r5+VCa`x#GqD1)PxAu@QUPLQcAPLIpflmb13tZAEE8ltq72ILJivw)#t?R9s8{nQw1tgMx- zEmzuFypv>A^PUP@PX2H5x!I=B5Ee;ujgGu~5G)Z9y=9!)p9A3@9TvI$IkWhV86*)z zZk@j9xUdJ%48TtF4Hq$pWjHf#RDm6N!xSf zt-pz1?0Y;YB%DkY@F{$fWnpLo#eAFDUF}F~x}Qc#Lhcd!K~FUY8y&1UsjB5WC+DCl zy&uiCL0tmQ-Wce^2JLm=$&NQFu&cEvWFGSFpsoOP1O$Rk?j|NBX9x?&--flQt7l0n zYlJLE0-3UQi{0%r0~h*nSqhgpZ-f1;dix`kU9;ytkcEq>0-k;WFp&vl&RZ>VSBOSr zM|2O+h6Yr+ly+Wrkt42!6ivfUB&Nq_Dkj2AAyc?9;TSSrgv;4)sAun6((8lJagzZX znzWps;f&jctXBx;<^jXi;@G-zb$Uag8`JunN~=%7O4ob6E^D9dEn9Uy=B(EzV$xjw zf-4rE#0b#Kf6Dr?cXhPg>vb#MXn772Hp1JE&)s>Dexg(^S9k8O0Pfn(T zUM4zGIItM5ySZ+&%}WLw?8A@vFR*m#NMG$Rnn4?zjc41Gb1U}{q33@NpFPY$g;pg*Tm-O?*8 z(mT^Cqv3z#mG7r}+uu8{@80vN&=RpkqJ&|&VH@f};2W5lvl*vnl(oQ7?>P2r6rT2d z91{*CfGv>8$`zz4A_NiWz5LYFG?nrJ%-TS zfH>3brM@477C&a1T$;&vgwApnS{znzl}`n4lDR)w{Vf!I3odm@vk@UtVZ>=^iQXHc1Y{5B_SOeUE~W7kKeD) Tl8{>@evpx#$=;kjP7(hBRWI+h literal 0 HcmV?d00001 diff --git a/epymorph/viz.py b/epymorph/viz.py new file mode 100644 index 00000000..b8a1c6dc --- /dev/null +++ b/epymorph/viz.py @@ -0,0 +1,108 @@ +from graphviz import Digraph +from sympy import Expr, Symbol +from epymorph import ipm_library +from epymorph.compartment_model import EdgeDef, ForkDef +from typing import List, Union + +""" class for keeping track of the edges added to the visualization """ +class EdgeTracker(): + + """ dictionary for tracking edges, key = (head, tail) value = edge label""" + edge_dict = {} + + """ + given a head, tail, and label for an edge, tracks it and updates the + edge label if necessary + """ + def track_edge(self, head: str, tail: str, label: str) -> None: + + # check if edge already exists + if (head, tail) in self.edge_dict: + + # update label by appending given label, adding the expressions + self.edge_dict[(head, tail)] += f" + {label}" + + # edge doesn't exist + else: + + # add edge w/ label to edge dict + self.edge_dict[(head, tail)] = label + + """ given a head and tail for an edge, return its label """ + def get_edge_label(self, head:str, tail:str) -> str: + + # ensure label exists + if (head, tail) in self.edge_dict: + + # return label for given edge + return self.edge_dict[(head, tail)] + + # not in list, return blank string + return "" + + + +""" +primary function for creating a model visualization, given an ipm label that +exists within the ipm library +""" +def display_model(ipm_name: str) -> None: + + # fetch ipm transition data + ipm_transitions = ipm_library[ipm_name]().transitions + + # init graph for model visualization to save to png, strict flag makes it + # so repeated edges are merged + model_viz = Digraph(comment = ipm_name, format = 'png', strict=True) + + # set graph type to left-to-right + model_viz.attr(rankdir = 'LR') + + # set node shape to square + model_viz.attr('node', shape='square') + + # set a minimum edge length + model_viz.attr('edge') + + # add ipm edges to graph + add_ipm_edges(model_viz, ipm_transitions) + + # render png of graph + model_viz.render(f"{ipm_name}.gv") + + +""" +given a graphviz graph and a set of ipm transitions, maps transitions to graph +""" +def add_ipm_edges(graph: Digraph, + transitions: List[Union[EdgeDef, ForkDef]]) -> None: + # init tracker to keep track of edge data + tracker = EdgeTracker() + + # iterate through transition list + for transition in transitions: + + # handle a fork + if (type(transition) == ForkDef): + + # add fork edges to list + transitions += transition.edges + + # transition is a normal edge + else: + + # get current edge head and tail + curr_head = str(transition.compartment_from) + curr_tail = str(transition.compartment_to) + + # add edge to tracker + tracker.track_edge(curr_head, curr_tail, str(transition.rate)) + + # add edge to graphviz graph with label from tracker + graph.edge(curr_head, curr_tail, + tracker.get_edge_label(curr_head, curr_tail)) + +ipm = ipm_library['sirh']() + +print(ipm) + diff --git a/epymorph/viztest.gv b/epymorph/viztest.gv new file mode 100644 index 00000000..09da5349 --- /dev/null +++ b/epymorph/viztest.gv @@ -0,0 +1,10 @@ +// viztest +strict digraph { + rankdir=LR + node [shape=square] + edge [minlen=2.0] + S -> I [label="I*S*(1.3 + 0.7*exp(-180*H))/(D*Max(1, I + R + S))"] + I -> R [label="I/D"] + I -> R [label="I/D+ I/L"] + R -> S [label="R/L"] +} diff --git a/epymorph/viztest.gv.png b/epymorph/viztest.gv.png new file mode 100644 index 0000000000000000000000000000000000000000..9017fb778db434a0416236016f248fd4911e589c GIT binary patch literal 14037 zcmbWeby!tf)Hk{b5m8b_LQ(`ox*G`z2|-dir9nbMQVB&$Km-YqF6mCmjevmCB`GD{ zASmBhdfr>#z5iU#^Kb;p0)@p-?D%1$mhVC=^x*{M`~42fh}( zJTDCY!!cEqlR=#!|9xo4jzOVlQ3^7W8XigO-#s<1Xg8kUaujIrXYFYWz%31x|N4#D zL1tb}UpDey5*gEWySc0~V+iH9us*eU@xHcrvUEl?zFJz^qV@9$X7;|9uZT5N)yCXa z#}XSi3A1f$S8P65C*Yj=^yW&dYx=BeD{_2ltlGHBi6+CP3nY?4zM!Pc&fod(yNvk{ z3{n4nEQR|bTITNy;LG)>5-i%kum9EA+l$Urj0>X*p2|{5wpk;>r9)v4I^iQ9C%@!2 z(}W=-Cr2rAso~qm11Vt~8;5(yXZPRbL<=umxpvKRO+|Np<3Dk&)F95&{&@p6+^obY{bZ|`FFO~WZ}3JQv?^{Q#pnWks2 zJI#qg+aEu9(jL!cR_wX^Nc8ER{OUm>i}uR)dCd1vG-<|mtVeoiMuvdc0PcbMM`|_xuiR zQ;o~g;G%%|hIa{GkkshtC@nAVl`_jdS!ZYGvWa;S(!Lal5$2Pfh3=lW6~@h&6-yuW zYf8tK%CAZ{_*oD1AMPDAT?=*Q=Ht7&In}VeKVszm@=(`6qGNoH?=CJK2cN8PJ*9vH zC(5oR@Ph8h1w1^{^Muqt4EXKGc^R+Zjg42>KGf18%`Yr`bhtTf8G4Q55#}@hv9Ym= zJbeqhgM)*${G!GOiGF8)eE1zE1&8b09Uoa(v@0noC5$O5yKhXIphjV>bne~5Lq3C$ zTGV(TOW6!HTJO2*%C4??_UHFQ4UIR37Wy^LLGRwZD_LH)dYhQo{p!`L(T@+y;^i4k zKb`I0YBW2=w+jysPshoLORvt2 z4XX(qL6u+PYul%%-cfh6XyD5iB^-Zz3SN0LKd-&zX7Q6Xp715!3Zt77bc&mnoqqlj8YV5u z?PX+Vk9e|J^dwo#SE`ocDW4mrH_hD1;ilycxd`)Hw{C@Tp<7y7M&Uva?d{o4mL$$P zgYhZRHnz57L;2d|D1O^v)~Qm z{d&5%xH$ZiL5+c=q`&_`#c@SN#h2dR2!+fCTI%ZQE;aXl`8ru!Ss6DsH-Bkw57N}s zblP2T7TP^Lw4|n{W_#t>{gzGl6Khs>Hczfb*UruknOSXeN<>=jstlz;VG0xqCyJGo zRmp7ZbJPuTl-vGKO^5gFOUiNc1^1&rlbH!PPMJfsw70jflq+@i^+h)959>{yDN`LT zni^C;rh{FIr0KhYcQ-!*_MUuoszC&+$@gSkpumaaVQJtw9Gpt8XshMJqAb@v2DO#W z7$zm=E8J1?ZE!Yp8}NPR2lri+6sAWsECe&>7(K39M(pY6Uk3oHv`ScJes< z?yjb;9?;e%6Brmc(-L%1r{06B&6Mkbx;h5x&!0c_3rfkt6`Bi}O|?%}U#Fx*LMya+ zQ)kve(AL(rJfw7+mKL?YzYnKZEs-Nier9&|8Eoy~;9z;Jw@!+?)lnt21mz{r` zTUcPAFtM=s-k!t8Mxow|dbacoEYw#lZ4=<*xBuvj;c}c3{k*V4%7Nuy=e|iVCPsCc zQE6teVzK&m!NW3~-zSG1P$(sSXTGRfnv1EbFXQ9MP+!Nr%j@f}>s8t{r`-*8jZiZR z_C5QFCn_pBGdG7>qaX3+&6V`_)YYZ&j9?-EQ-PCnjSR-3GS zqG%?P$Zy{Q<6&lgKHVkk7w6)Mwq@%dABi;B&2Oe(p{z7*jnscg2>1Jx2fjX#RxoAK z)X{kf$La<%GcJ7;?z3mlkez7nuoEiEnA#w+r_SN6!gds7W#fYrst1q+pton2LX zO5=Nk@&5gLGH!ERfuhW%^C)PETeB}{TDrS0l7wIr5D>)kT9Y_T)py2TBPLEgXqNE# z<%;4U(H=TpSXdY>Ho-dlR97d09H;t&aa$N#GF1-WIiaP6M;MLI3p+VGx4=Pp9Uc9= zJ@i_7P7ZEnW~NS+1C>g$a1b1V7C5hZMsd4Y-P;ZqeSYm>piXzXIfU6np6)Tz-?(97 zVuJC(KEg{z1{*cg6?;3UsK{}s1ol9u*cgM%?C5m2Z|JR<-=FJ7KKoZmISfDY;XvJ0 zR||$+7b5BH?d9a*k(QUoZG`4tamZy*IA19&&JnNGs%`}y;yv5Cnu*q@fxRxG$k8@zOOZtgj3#to=(=zIk%hX?BusH0C- zlr8W$bTOSo#KahvFJHbc?oHP4bl)b<-ZuTT#oEE4ute$DqT%DmkD3-d=q;G2`9t)W zY!VWlo}SAiMKlE01^pcxk8xl%1>HBU-&0iF{+VCoET+PE^XBYgPa>y)fSi>TbEU&~ zJk-(gQp&eaetvCe^m8s8TU*;NDH1ecT!F#CX>fe~P9~;{ofq!?SX!Eg=VfMNyK8RF z@Mpis&uP1Ic13lb4w1wdG^c!nyYsJ35pW00~QbF5R*VB&M9qykmV4PG#{Go{nU7>zW+VEgGTSQ%HNSQvnoRgDNe#ALc{o$0?V`pb6Z*S3! z$(q)lvtO%4#N_0i6G}QO(2YFi!v%=Q$wQFdaQpVf&4xp2@#7ztD;V=?^*ijJc-NM~ z)S0aJyzKXDAcdARv;^Rn&clb~Y}5cbG%6Mm%z^Ft;<4oi$IYxTE*L|tzNg!A{3b2f zkF2db_eHHNEjvuj%$~5jf3JOV33UROPYnN5Ancn{P+)<;3BTiRqxg`JkYQ?x<}~XDBG8suoL}9rxJ*w5y-EgpY558V#ou7+jpLeG-ac zoSK?CDQZx7**>Ap_X^&*L_S;6%c1RSet(wybbNiqZ?mwN>Qy-`Jmu6}-&RlAeUvk$ zta$+&a~Lj8$}!RCBXSuRo0W;_MdHY$lcT~%sJcm8dI14#Gf$U}mdVMa6Qi+#wY`-A za0YwrP~7JKz*f zH`S_PHk-((lJt3F`cu(BBRPu-TK7ySYt=TdjN80}!+vP&fqKq7g_JO9p28Y^!fM-H zmRM7C7`dSH4_qiyr(b*4_1kDl=3BR#;U;Rb7}(gfg^I*P6r$uAaB*>)-m>X&`ks2Q z8q{9N2BPrI1+chXqC?c0-}H+0hz5Nvs_m_gAK2O`o-e?(m;=KHPy?RzUIt-ta1I@asLN>#cE*ECfP!mVTq7wZ$ zGcKRIyhN?csqs*^tg}GBBZP$#jLh53)lK0TSJ`sldy?OijK+~8|S}wj328; zkKUd9f+u@*_D-~SFc`GWxfJbh{ADjq{!$z%G}&M zN6fMP)z#(cPZI0~wSl+Pv+ght{yF%-7UJycioKO~f#Jh%;gzBMIP^8yAsLlx&?d3B z=KhqS4ZYU+P)#A1nW{a1B?%Z9S{B@l>#lH1>i2l4sd*K~Mdt9}6|2M%%LflgP%}f? zMhnVWu0o{n=V&=S5_yobKbvQ07&cqLa`;Z_U%kRZiinPm4q(-6;q1AKq$rdlPwQL# z4m9ADWth~(E=wv$M@PoLf9+ShttXU7_kZYKif0F~GJa2Sa{(wFvz@&?)JgM664G)S zysmY}addpIbN>b)qkgwnM47)#iw|}#oF**1gvOP|b_u5VHTUhgyM>m5;;kM;UsD@ZjWX;Gv+y@^u|NJG(B@XtWR2tMG~)cu*jnbTBP5bB?AH0B0RNJ!uA# z)W$}`8|3OLT}QFK$s#Y{c>r7*AFPcjyLlQtc+fIo63Q*4!5F&kl)N>B%YSfs?6Ogk z+N-DM@oVoEnc1Y1t;0i8Q+g;xzGxYr$U3RiCO{DQD4?Gz`CV3P0fgfIN{p?IJ|{#J z6kQW_c4qVF@K!huoB;g+9!RIE`f~+CXTn5n@{LBXj*e~`B|po}y`@#4dk#$|@Ft{W zdH3(hzwt6MQf|7@r^I#TfqtVmIX*rca=xwvLW`zB*egtENA{PoNb)%gJF*?(&AGcUvFNJiNB65W^_R z9%sA9kB71yDGbWa&K@5%2L5+cboPtmbZ_9kAnY(;YEGC8SFT>&erp6Ee%kj$*?wyC z(^R4~xu{;*I%EX*f-{EjSoQzutowz{$~8E8*S8E{G)CK9t@Je@Nj&P zQC=Z{_T0I1XoARcx<)RC#8!cbf|80y67n5#3Ui94KL>M1s~l;ZU0l@k^g`t#sZCmg z@pT%#g#e&%nV~NwcU{EC4@yrrOT1Kky8P`1jJh1YAdPW&&sz?o2zY~&6Nhd&uGhgD zqAE;5qiLv`)|E;n5^-C*V{LtF%5#YdfJ1sl2DZ!M7fAr)mG%=^{FOTDC%JpS52ssO zS}-p&sSMt(1W?=B(QzIC6f6vrs+!s}Ad7b2Yp)^)3Jz_x(aC!WzX*vx+mT0ep&Ue4 zu3&R;aKH}V5D>T)!*qYqKAI_}v)E(X6e%$1{BU3?vhJr4gvdPS_;ebrSHxCy+5S=A zdwe4!BfGKEbAY|20D%CBD+ZbcEFZ_g!NI0S-&M?UT|r2+bG7Kx)Eak?)U)}HNHgG3 z6stdCa^5;OJ<2hLvbA($1a!SsH-{FUxYlF(%+jji2XX(gpg(Dm9U(m7W|DI%RF zNWAAqDfDa)0$efeCkP3wZGm@Fh_w_LeQIp)a|D8|prBy)=k)j^%*ii9L$M(;^a$Gd zb+FzI2ezH%_HDhZ6QDl5lV^Cas;RaDAXe9_e4^4mal97J1VVbB-Dz_8UfbSNl#^o& zjLb4!Hr&+E&`^m!iu2;di=@=ly;?u_n{2!tUCwg>$b!2S$Tl%}$*sF+O z0Rx8h)-44yG5eF;3{_^GzV~8d{h5mU5g}Y?*pN{;4K4Kz4exYV9|6Ny19WQ%U~5ts zYDi5);M3V35kNWpf|j?nKF++q49y98wT`YX1tl=Avhs5CM~@!a0qCwj`9An0Eu4LX z&@3$W?b}l5@WuZAD8|@(?_}sr#Kpz!09~?5NTj$^vWYpeeTyE+O-xKg3oE{5RnxQV zdUNYbPfz&J(2%uV`gUnX1_O?NvY6Lf0Y>|dWDYG@3v+Jrix)1K`2AirdI;z*KLX3> z7?#Aw*{9Lv6ebWCnhZf>&?>}tx3-K;OX7jtmQ+pqCbqY=Jzfod@uKRdutWYK2bwH2 zEX*86l@fd0s<*eR&wcI8O)oMd)^FdwQLNsTk$K#m`19R}s?$&Cr`@)B>D7QW%EVe< zwVUGjze`9cg~M80pjTB2kU#jTz`AjQhy!#1^K`k$;T55<-`UxApf9fNPmoSOxl}=u zVYaGUB->xu)!qFrF_F^i?Dt_f6`r+R7eh(rvat0#5E+rJo`{v0M%Ii|PfxF6R!rlY zlcTO4RZ3|oH>@uj4*PfhS7GH>4UE*OBn=Fx6qS|jw>jxiyunmLuFI;49d{K>S9zaI zf*=;J%4`m8(>^pMUBkejC)u%)?v)0)u)?4vbRt>zxM;1IPIE!GH8RmjdSzvf?^ zdG5;Qn#{WioF5^W;=lLQ5md;g`xed~JgwC_gMWnA!1&w|C;BfR?draBQr*3cBfhMY(x-EE*abkJUXr zg$}ik;~i^$o_S|HxCON&@K8^$b$pxxIp2qe+Im?@hJL@FRP?q}s54^0IXGH1I(r3z z!W{G*LBBuszUK?E1bt5h0lv;IEDU8G%DD4-n@v`}sdTbCE_{c9h0`=OHDxRvyix{R zp3V@p+|%9Noil$m`k(}KYX@)Pnf9V+DE3+5N-F{oI|>ZyDmA-xpCh*~Bo4PR=@H#_ zq+z>;4ySwp+YT~8Xq7An8yh}U$l@RP%UzHL9c!|(vi>SlFezsi7Baa~9K|RpDU%P| z`}?Ea>cqW+Q9?V5hmw)ZA;`47Lm&$g*H~>up z_re89RaK&=`#*zVihFo?keSy(Pe!jt-&EAyKV3wZ*mL~aIKMK=tiTXh{u%btnp0ou zrDP7{V>bJ=+*$`oNsKFaL9#Vn*nJ?m-Wc0GI9OEvsWIZ>?EE|=M4^s`aEL*Tmgo-i z6)7Me(1njCrvD88baK^`ev&kHfJ~pTuuDMQ>ET&Hj6o-Vt|ti^oNBE^XY&ns7h~DS8_S%wGhpZR=yQK!Kk<52X!ZG{{H8~(Yi&!m(@s{x*X^M>KEuBD_Dsd;nBgk|0s`1LICB8}nm$Mdgi)!y zFt)evNfdn>8=HGG!rIzer^4nc3_uJNKR-W3MFddM$B!R#q8%QaO@hdk$Y%Jdx|%GG z!w8+FocMV03pp~bpjP;Qu1b&mrcEaNYs$zo4JABE$Xn$bQc~ArGnmJYbQF`5lM9%> zJrYX=eC0vz;HZf!9$W&vk2^9lf#av>PBUj`ZlL7bYhyeco_Q4!l9H0k1KETi{EjoQ z+aEeN{`#5E%)&BfpVoPJ{n;JV?c29Ko<60gr^j3!DeAagRNv3YRk`H*y7$FY^93-8 zZg9!+^kgMijgO8tff`M6M7Tf1<1|1_eMCgZo-UvsG((`YVB(Vp69GuHo44{vgEGTjxt ziDN6Gexd5x+LocAt2boBR1=F5L>ZZw=3(HDR@zen2*;?Gr`EKkiuLRH^2K%B*Trno zjnu$G;-#DGBe>yu*Eb>hwh30S6{*F=s;eJ{dY)AFYw#$ahuwFxzW=%V6^G}W?gfvX zA0fJBL+aTov!NV~ci?;i+Y}WOlV_*9c#u(>KFg5%kVHM9PM>)23)#edXkWt^>utlM@NTKSrq7Oa$v}4ug1T98*J7Q zf#60fD=U8;*5IO|BH02nV`JK(ofsAA8w#S2XHaSB>EXnRiKb!XBG}->iSF5FJv21z zJ)tg2Xya4)Sih9-0t@L2M{?;d@3pPq&3hB6GpUjhC1ttco7*PzoKE`TF|C^za^&2sb`T2>-90g%C%8rRi$O{q7QQ z99%*|?Zj!1u#WO_-c!)6n3&g3 z_U{`S#282vL}>6~hsLca=c710MO~MPKwYm{%4Lj1J{!mY2#Q>80j|zSkCVSxZpov} z!&COCqfOl)5{%lBY&K5~s(H0zcVK&y9}eJoD3TXocs2t&~w z4X+l+Xh15Ti`o9ddv?C3-V{uZc^3@Sdw644YpSbNN9MpdHe{iXdg&e}*Z5-_a4@1{ zgSQLd0ahVZZIz6O=nk7{Ei>{ky5yzrvMP0J(HE$vpGHJP5QQwShl1B_eQ`Xx14IEJ z%K3bHVjf$xS|4>Vf}}8jkh~Z3vYFf^BO}92RkdmpqyLrW_%P7bMQ z&Ou*PL`1}<6gC9M860r47hhSRx$?W=2ENc?T||2%aa-UCd@3v?ASWl+--!ne3#5k| zJUo}fxa2b*fO3&D#MgKD3WXx|MX~_GIM6GAv<<$>jsZjdHNh(mr-4lVB7jO&`aX%) z!XhFAMFHTdOWsAicI+LJ*YXVYo%3LB0%A`cw%f1UY-|P50;8Uc60!a$4n?1Oc~RPG zza)ivFhzCA6jsd7T_q(=OHF-NwYDg%XPwu26*|<*_Bl6k3Ru@m_P{ygg`eb=w9;}2 zL6Z)A@#2Q4sJ^`~;2~;JkES8vtjtV0E-vEZ<6{(WhsPxX0$EV#lai9g`Fw++G4q;JO*f^XSXWVjN7bzaKjbdOOSr%%&94gO!2vAkN{0 z?EW0eN6a{2X+=@XjdpM_3?dqPcmXLjlMOIy^M%+Z4O-h~<<|af8L+X(gaB@2WMpXR z>80!&xji+8g`rEDLcx3dITb?fb5Y0oo$Re(0V8UdQ&3iJ2if;qk&y)C7tDGR_?D*{ z>I^O1wB9g86J*xb)($E2c6W8DYG`2B==bXJBYg=jvT{^@GqR?p24+uZXXhxWw!o@T zTTGEf^*ear5e}!VPc`~bf&~M;5>Zz`DhF~K?sqy*Q(Rf;u={)M^Y~2#JJ3FWaTnW; zumhS&%ge(99Er?L5L^QQ`htyrE^7C)YhLNT6OMp~dFbvZ4|I97Ae+TTF9iO0}&isi9nC$M|uS@$)zyKJnabW`6 zB`i|>*XIvn<$5|gA4*H3-QQ`j1f`_VO!=Mpe0eW6G1JgisTh4UtmjC_&Q6f8U4(vy zb>7&~F)}IXx;Ky$LwYN0l6N#)a_9f(EvGfaw$MvO2XDJK|;l!*q6r;Mm+m z){d_JP3MhivPb}K)jlWu{r&xqLGV2V%{@?`{e=wuvrnHSox{lRT5f$ASZsLJ)YEQSg>l63*vU1_{K-#^dnDhW zrU6*!4l1eFQ2z_b7(BDt$q`0__C^mxW1lf4UzHh!0(-9IYpOICST&sJy$#On%zuXM zbJz^fy^W8yW^pFoHpj>;95DhZj~8%!kKRd@e&O~jD=Y7UzOBtJ5WebAm8<_%GF{si zoNH8+d`5*uGK)p{Jjgq=SMX-n*TX>-3Bd13z2|8gmwGb6=@BjHv1JV2^n9F=Z!^dR zC05_)k!O|0KlgQAEeis2HHcIR8|KF9T-8|Ha>1uDtY~L03m-2C&A_K+2y$P?P4sWqR!D z+6IXN;;UDKE?j0Tuh!Ewup2MG0Gc+knRoA=JJi`f1JSjhhqs`hz{K7j|D946|C7xr zD%iPTCB^^%>2`K@yu(qQ<~U)bgGHojkkiD5TYPwrU1Et}}z0u6^k;XP=NT{9D`GTp(H9RKPY2TSp|pFY#Ph&NbJU z`cgWO#sZGNQi?bgL>O={UbHP+UsznMeE9J1DGYpFxC+e`O&}TmlZXtI4=5Gtxw*NS z)z#1n+Yt)y6WJOrRR$6|Zf=s2k`kSAD`J?jL^L$h8%~46!*jq2k@g|}=g2IKj0+P! zV4eE>zse2Va&mEL1<`wUem(%SrFo#{IMZ3pwj>;e^)EryP5tn}-~AZceTmz;?wiBndxZ8UFY% z0Pu8kZ!ZCuxzO7?AXf!6FoK-t(Q-pLq=M`wtBFxty&{`%?=o!U*dHnc)FE>*)!?;C zh4tSGmGk|R6OptS+&>wYX`t*9zkU16&?8WWWWXc=P+np^z__OG6itZ+GhGM-15 zfNwqi{p$&sYcL?m7)S#~7$7iqiGmk500*CYFKbZ0&J7=IyO#4b-u`=guAJy5vVmG( z;2q*;r!Gj$4HOGpJUl5t+z!CntH#h^CF)}lEl^4Uvc{n|H%)R%Av~_BnZ$j*;hQQ$sHYNt*G=~QQ zX1WCP1)2(ihqkw7rPn5^2oE>D&u_Swmy~?V@w|kG_Z$X|Od7l2ON4O3`8W8i7}E^& z9zT?ntpyb4Vu$a-$X?hweD;iOrRr>lDEOg0NMekvnlVOHZKX0&*tX(*-s>qIo#U;$9vVC8k{%@ z35oi%KPT~GUX{b!Bhk^(oG_k}#Jos>@D4FMf+-j;;pdy!q4JW;!ra^#VwOh`hEUbl z5BvOCer@^_4KTgU=&IKZdkSgMfaOZ0{lOfA%Xua?vRsz8SWn+^0@wxs;>&kEYg^my zAwe+jF2f1f+Sz#?7k6#)`}f=%RIr;rZX)I#l4tdhK*$Ht5DG+;)3WzEBFt=TY@qz18ITFx zYyA+G8e_%s>|;?;2lyRB(H*caGZ1H#di01S~A{{H|XT4vt^1F>c9-u*_{m!W7H26*V=Xoc;yx%qiDP0b(((#$TU_@QA8876FY z?fu-qghau}F@6g0LXhz1AW>#B02!by*f1Cfm>%00vnwl|HzV`ZBdNt8LzY&t^0xwo zB?t)#tE;PNnV8N)eKho;oWW@@Ofb?$il^`u7tYMx+gWH55)z=ATsDI_2Lz$7`L(sQf+6-}I#Os*?Ycsu zudk2vmU@VE!qnt(^N_u(K>rLZyZ`jQ5=el+v%JXn(HNG0WNuCibO?^uw2t zf)Wg;dBmiW^b!;ipu|=m{UF7{iH00Q^#NYgYb_9J+Trjx!KxsF2^ex@Le30`(f8!*TaAAG^E1fC7R3 zSJTl&ao^qDeRN`?YGi{L&T(?|&(~M~HzZ{9F$GKwu-QQytZ0zFnQ<4)BqSvG*MSD< z8Kf`SNa}DTi-)wH94aP6x(idGkNN=XhO}qL7_FIh!6+z_&z+r;pv)l=PB9e)1xXbZ z0&vu-_W}D?2deSCgE50pIVizpY6YaVO#hd2KqfOHl|ldpNk}?){!3K^-Bf%_#&u6> zuyes#zt;5vEF==bfWRIm#024RBM}udbXaOuMuCh1{mK={z0Iz!UW8FwunHQEQ)haq z7Pp89B|Nsgii)h88$SyROZC38lG4ob@@GCX`_qxJF>>%;0dHrNe1N)f^#neRD9wOS zh%a9b0CCN!8(@+ebTUBVWL#2G{`K{uNur)4a5r~=zJQSh*9?V*VYWVAK?a#n$G&;m>9aV~Kng*0_yQJf29jA&^OSvM zFSp3C$ITJqYjBb&kz@j>UL83`(cKtr|}F1YQVe_3Zk(6fBv+o zVBqH9i1b1{cf`)Vd-tx*;XO=_gc=rGCMqhbnjihm%@~M5V|MM@wa@0<(i<#DvGe>t zF&{RW8R8Hjwu0FUIYUecdsRQ(XX#Cmh=fGf3;@fVj~`{An{oo(V>N2L4q!$O?jwwf zg-KkzQGH1T$k1>+lW`ZZ`WYMSVjR1HP1T1>7NFvw37*ws|8N!pKR^vqsjwqgK=}Fa z0R_qp90nP%zJUpdpEv&m!3F|cYJKD`P(;QkWDBqWWiV!P_w@YOYOs^U;Q`a z09MoY^!s})WYQ3Bh>nSITIs(D0GhhWaT>?$5|An~Q4db!hRi<`fgwR5G8sn!`jx9H z#Ncg0%>E@1sy(~L6&B8J-n{v`d%?y6;4`}kAVIa0iAm8A8Pg0gCJ^PK;Cbc={f@BQ zHmB^@ROOlIqHw)YL_3wg z_5cPEVn2>#{XJAmE_O_-*2<%7b&DEV~wCuXy0z*tE@35u{GTv8e0s2P0 zdlv$0O9yTkV!lIa-3h=bthgjF0ztueN*)nW(d#f_v#8}o1QAs z2gnx8Q%iUqgn4}&r?fNcYU`hzybiMrl&WBmg5dgaaTu5;*47uGtAKVP#Te84<;$gi z&f+r-mb*}t5OF!DuCA`5qtgUwJR4z{{jc3rA3hBE_>mQk^bIIa=);KR3W9?_fG^}H zctMybFeQV)uG{-LbP;eO!Yx4lL8RdNYckr1kUcIlA6V*S3hgrl4jonuvzb8{ph1Oq3+=72htc93D1O;#U`z_V^|My?AdWpKu>qhk7JEVkz&(42l YzI{{DsMrpEPYtDTS4E~!%J}*J0@H5RIRF3v literal 0 HcmV?d00001 From 11e8f4c448192326e9ced19636fdf21ed47d48e3 Mon Sep 17 00:00:00 2001 From: izaac Date: Thu, 22 Feb 2024 15:39:53 -0700 Subject: [PATCH 02/23] implemented LaTeX edge labels using pngs --- epymorph/pei.gv | 7 ++--- epymorph/pei.gv.png | Bin 13605 -> 14583 bytes epymorph/sirh.gv | 11 +++---- epymorph/sirh.gv.png | Bin 26030 -> 30137 bytes epymorph/viz.py | 64 ++++++++++++++++++++++++++++++---------- epymorph/viztest.gv | 8 ++--- epymorph/viztest.gv.png | Bin 14037 -> 16225 bytes 7 files changed, 62 insertions(+), 28 deletions(-) diff --git a/epymorph/pei.gv b/epymorph/pei.gv index 2f7320ce..fe0d3183 100644 --- a/epymorph/pei.gv +++ b/epymorph/pei.gv @@ -2,8 +2,7 @@ strict digraph { rankdir=LR node [shape=square] - edge [minlen=2.0] - S -> I [label="I*S*(1.3 + 0.7*exp(-180*H))/(D*Max(1, I + R + S))"] - I -> R [label="I/D"] - R -> S [label="R/L"] + S -> I [label=<
>] + I -> R [label=<
>] + R -> S [label=<
>] } diff --git a/epymorph/pei.gv.png b/epymorph/pei.gv.png index a23ca29561f0d5630996263ea1220793d195c884..19d49abc0eb4f0d09a53f582d704bdf071685d7d 100644 GIT binary patch literal 14583 zcmbumcR1GX|37?XCs|37P13S6GeSs`BqZ4(Ns8<}y2wr?35ik(Ns{cWlqe&6B}oXG znZL*D^Z6dX6Qhgd#91j;w%z;(rbdUW)DJhvkEW2)Jd_p5Rva{;%xc;L zg$d(hbaecoaep4!YSQs%HfQ`F{xa;PKx*;xF5_`8;Z{~wPGx-DEXlzj=f5g9=dEPd zc(1BFakMEV>{_3EirWSn8;&_0p=d|UAk!#Y24&~P``6}a?Bz%`#YHDgKon%6+I36hZ zuyaP!R8>{QHQ4I!yCbr1-}{<~ZB?VQRl_q6zdDFpy{FQCY~UitWme(Oov`Pmrmd|I z6~!iN8=L%#t-_^qEytarW0ylhDG+lmu;eTql@9=!v=@j#g&U~Am-hc2ACHfV3*5X-xU#3GBzY>(b&uYIK!aygvGpMh zwrU0jtO5c83V!Rd1HK_gLTIe;E^#`Kr~m%7=AB(!B&+iMa@Rd_tp(bCYI2XiAlD67?xj%;w9(BZJqjNIQM7l@wv4?{t!x{^$EZ(Sy<4+#H*v zcHzQqlI7x`K9fSn?VhE(0S?6mEsIo17-4O z_xh!M`}Vnvwd`i#Rpt`ZiqX*3W$<5}(Yk%-&UN`DZbf$n78aK9*w~6;SC7f=Fcv{g z%eh})iPN8*txmM?kEjZv^|;^or((lDGc%JkoPy;QWcg7We^nUt6KWSo1$x9kvA-FHVVyZu#j>zEsHNC{3y zj%-?=CadrrKFsB-%xj!ye$>H1q~}Mc^M^QoaSjHNg9neAnQ^r@(T&j%n_+BBdq*ei zYlfDhU+jeSvt@tk(3WPw8;$T)b1p zTC)U&gs3Ew7)UN7AGhnKC~U_SyJ2#`E^TqPS*6;!s2as|t(dF&#?}zrV_)CH$v>{( zY`B^#+ULhRy8QFw;+U~(xOBUY9Xq!4J3Fs4Ef!bO+FIaT$vc-J3e9NF+I5B)Zp9nN z5`^W~l5|rK?^JZ3sI=HvHrBBVb)(!ZC5v9|;NTEwxUcrzvqVg%!;p3qhngFY~D1OQ`E19Be-?z79SgZ zd`e1mU?3@6_4V}w$2;-_g@tMG{WTpO_bvSCi$ooIdU;jhfKY3p8Uj_6 zOos!5gDG$qGPAM-<>WXphp<9YY`r>qG_LN|q4(4i-Gy7y)6>6lia9=kHr`(VBucBO|Y_uX>?9AD*tHjQcbqTDpVyA5tj%rHjOB@*o_3L`S{qf_ID+OSDJh9JqQ9e48*_N#`LACN zFHG_&>-CAAInRwjAt=`6k4hetvzi+UvNo49oE ziElb}>J)nG`{|+TnI^?4RS~vVhdw2Tg@z9PZqF{uo$f35E6GxSy9YhGl9tzZa7;X$ zR$tOJV|m%z(Ad~!b!kR#gyUBR6nlC3+vt^dc!InvMODjtZ>4PCS;RLa?Wu| z(Rc4rd4ifzs)mMaqGoRc12$F$Q0~>i)LRsy*m_Gm#Ly*%T_z^F3h3zQDsk1jY}Cn& zwR2;wic$S;bq>;MB5eKns(H_!t6jf-2!+7K+KYBGG&~$~JW+J0yYP~OvvXbBv(qeW zY;AWEnFcl0?q~~f$9UXrOW7?fnixrpvyO@J@p1hSH}{m}EXq0dE$j!T-RKshZgo{^ z;50Ft(hc{aCw2_w-@nf(EhA(7<3l{^fSHbpj-Eak4ej6T=oQ7y-L{fd&P5(25nmmo zUu94wpep0FnbAuV8bViBeRY#0slR^x$~a1lrp1APifRc93kwFG!yLGJ6B6nAomNM0 zp@6eCo8)x}?%Ve}CU1|J7!!MBEq|4ajLf6_e3pupzNxrdw-}cv0eaCgP8Nc6(>x zr5!k&x~QF$L8_!1R-I2&?bTN?j{7Gc&!+{QIA(PNmo2cmpkT?H0O_z zk)hsVSCX@I`s2*ZmxYppb-p4YRe@+(io#hXwU{!Oz8wG(#CM^1E79!S`O=C*!A->T zFb|-bJI2NH=g%2Ojg5`f1>)t}25Fdh7(^4tzwF3r9ea6YKpBW7v2KcyGy2B2HlZ5o zr*=QB*(0eFMbE#-ge1NoG%So?R(8kUy?Yr?I9XX)-IKgPZ+hL45?+U$xc#GQu4D$avNonoZAeVQk5dlm$(xz9~l`ztq`vT!a8;KYy^77U=S@& z<=d;nmBTY}ckkY4%{n<;(5y^JYWw!>d&Hj9N>qGbi|*nF!C1?w{xUhtd~}9WrlvRR zc>}lrOQ>CJ42L=_0*ID}8tNP}3kV3HqNbLw8JV1nHn#BFj%BC;d~nnj((TB*H@sMg;_J}$vP8CgqFX5O63#viZU*=?wZKNfUho3>=P(=(E* zo8o^vJ#tel>5GX~UZ%T#{krGcd`H*)n|;n?ATw-0l%^o|TSI^as0d&bSPx(k@TkkS zK|HEjTdkyz5e0_w9-(mmboU_6$03nCTU1zx%MwyOROwi#Cd8V*`J;pMqr$@Nm=4_i zU2XUfFZ#(EOW(*elmdf_RD|9~X>m?eh{-nnVNi+*n&&(fGbQQ#PaGq4Mwbl_|2e z(0fc?C2o2G*D;>iQ)GPh?B;ZRpc+kmDM9`|jfNMo^jo*q`Yra6F}rZ0-qLr^8PD;Z zFSt6aX?x+q5k6*pNx{tIr&PZ)-kOQpH9d&<@RGsWvXHYxKy zB*(?L)=PJlMaNF`N5h2(jvMJiAN+KU{q5Rz9MkSVua2Lp*x-p|Kls;;BQtI6&#enJ zu8x;3U0t5L$R+1OT3=t+*4C~JVN&+&p=S9|hTb9&tF*we{cxz88bC;1ha#8HVxPwh zT6&i{OL1CkEE5F<1u=2GW`9~OO%M6GE8AMAUgr4m=IOsz_H&DiXR})KF9kOx%Q7)k z&y8!)R9eZ-*VJf4aml}`zN=Gn9e0mr^0?{FXwA+^ccAh&Q-CiapGGhsN?Mhgytkkx zGrrOVsSdtU0ZjWSs!}_04UDF5-5fC9eddCgn3#Ll(}mrI&gXePaZkAWkhiLr0i+jn zRgTVn{qluWY{n>>csxXHIsVoyRuBLx8XAL*tmIRYu9RpgxKcxFivwC`&+g>$n>$6c zWwfZRTenWn&(~(eD&LG3)LQ5cwaYho8L;6G@F@!B!+9RBe7_3M}Q z2ido@wzbu)&b6LwlxjX)ZEJ5o&^j+>QQnyO__4&fH%?ZKcCLxd1*SPsea;nGKIU&- zf_5r-OP@9|`Q@@Y6|kY0keb?LR^py>yd&S_fCsnw(WBG_PF<3kc^w7y=(qPie9-=h zi5vCV&W7WLmAU5-wPwcG-q}lTVb}?&Kl|7*pzBGNKR+jr-W`{U@)@o;hYo!9wFAp6 zxVof5N>l65oQLAm{&C^?`T3_gIkn(Z+%Y~rK7xRjs7->>A7<;DY;SKL0wNil@x&or zh?SL=9t1FW`t)g_QFhtrCb5e3<^8x{!66}2&(%vGJ)%G(SafR!-r*MzcvP*|p?-tm z$i<6$ySuyJxuxtk&h4EaH!t^uyVWR)M#*Kw@aQgc@^t72L~-N0s7j#*MG5v;h_?9BlmAoHq64wfu#TY(IYfd~Yi`KVHR0Sv&G6 zv1;TRq>hto7nA~*8+$9Ai_{+*9Lejj!I0JCE$VW5X_|vU4Irfd%n*#9wtQ{joRE;v zV17MMh-r@Iv16Oj6XNdO3;+002e`1>QhYF8i>C^0k#?}|$pibQ2S;pd1hM(3`MCS{ zZ+3Q?fb8b%+(~8^SR*q#`%nGp zlAG<0wU3V{ii3-T)s?I+H@%)3EQ91jlI<5u{(NJ0v^k@+l?g^ReCV2#KvJL- z>cRoO`~62KY95 zm+ZT;mtMosvM=pEb2g?Z?znpOs0Y^NYZ&6{MErt?#WjNLZ@R+))opj+*dX!`Z?=lnkLb0 zKPQvXo7J*fhd@eq0F5}woXZ+*@90pJ9;J{~4sUC3m#-0KkL16jqj*`z8^DVYtGEt( zG86m-NQoLy`K0o{%xVYyVzZdY9b&;&9Gs5^$Y+d<)Sekyf3JxE)=p)#SAA&vlLj3L zWVbSO^EQRUcG8@u&YYo+*A4|9@bEM{z^=%4v%kNej)9?c@@FE!tFYWJ-Q8fL^nj>p zn44^GAt&BbxV}&M-;Zt3Z}@lbt{p3s=G=OK{S&vx$8uvVe&Qotk?UaPCfo*jE=54U z`}gm2-QP1+GNqjPijF_LF@5FjrTL^kub<5-9Gsy$1H2nPhdd)q6_QXqK zQXp-i{9KpfTFQ05=0qIJ_=@8RsUL+!_*Z}P~Zd*C1edVGc)oy{z06fHC^*N z{eQu?nu$p#_sS=BQM1mWPVmdXBq@7^=n^T+W9TO)FD-+r`Jg-1Ddw71ICZ^Ztj7&7 z_noN~Jrw`*#}7UwC2p{dA!U$Q4oTba*866zu2S>)b5@6Wm>`5y-`u``y6yDIs*a8w zxOdW|OxiDs6V{h6Uv_YE3WbOP5v*$%cMkuFh=@SenEd;w#=T_ije6l$8p`sGbsyqB zjI})Gkagw)y8h}AiW=2&TMsbBu|@#Dvb?T!-Oa}H#ddpktU0s*LirLi!yM>A!ib@W#Z z!t0)Sm>MxWN;hjGcPOT0<`_I<-nsMGi6}p|#7|*{`;Iy}9jJ@tjUB2cgYf7}j&CxQ za%H(;^{{o!1u6z4TS!ijkd9=v0(`4OOUld)Jz?wb@6R}z{MimSTjY+8%wE8+wzjs1 z<>fs4?$AR>j*gCoiVTc`pPkb8#A{p1BzMgM;-5Nwni8}F6K)72I{fC%_ti`)QD|xt zo%xhN^7mw~@L&dX+8tFy`AEji) zq)UAkon7P}_*Z-pA3J-y(X7Ud&M%<5g?>O(=xq|^Yy|7SsXTNdW?c1RM$LS9rlET8m=(cRB z2KytX&mA4=LepqUTE>Uq$~O8D(RA;LTT%3k3bE0%aB(pJ^l0&^>_D5VXEi%%{X`zKzJ>&rHOeC>qJKZ8>zt;@iEg`igQ4= zef8>2Z z>K)b6BABp~3?9JknM#9Q0Y7x?zT0tbeUNGM0c8@~K5}w$64YaLc|5P^JX;cOhI5e( zl*gqX2`3>my##}C9thz3`1x}!e1)myQpi6g{P%+*ZtWavi{n@S^ZOq~Q04IFK)-g} zQs3s$ZYLSSut2M>?l1GX`lnYO=P$HpPe}8qV$Rvwf4-pLz6)LUOP{a!x2AmA9N3Vs zM{v)c`c^9jhue*GVCj^G4&*vi+6E#mY3cc^#`zYlw<7e-32~mYUVJdqACV4_aDU z{)2T=l~!Wb5?p^aR)Lr?0Sgh{0aojw)b~itw8CF0)#s0VECYw*#fw$&31l6%iqOwlw`~KJV1#xx_$(`xf?U0+TKtQHv?soB zCb43b8kFx*cm9@Bl7clM-C8`vD1&yy8C{pYa0po0dGhyGl2$AaOo*qE0)KYt96ufp zQTg?2Xt-IG31WP2g2?FHlVZ*HD3&^O zjxW3YChCQM|Nboz5fN}JYXM8Qpbfovap3mt+k?lqL56kb==(Hs4MyZNW5_k_MPePF_wC<5(`BD# zRTWGPP*ej}nD08O7sac>Q{pkDiMb5xlBgK>MVIfKuA@yyuU?f%4OsUAmY~6d$$9(RJ7*sf*cJi?1#6VIfZ$Uxl19YgIt*uIdg*+baort***Eh zKD)aqLPOxi`4V(RIK{icY1!_hG7mQ(6^v zdmoTU91n>sz|ec1fz!Da8L>2>Zl}DwexDhs$-UGQHvGOGfv9dWMZk-6}2d5h|mZod^ETrOiFY5u_xY4 zZp9>u;Z^xFCjRa+3U|@>4_u4sUf1Sy94)b|^?{9*0FPCYO}+^_Rydw+s4|F>AXPX@ z5(%vXgBMa~^@{0KcMgM~dCB79#f#dH)?Nmn6G?nYO4FwR|2vT2IZ&mo&+UcPS}~3!_*$U zgVPShA_&E50~Khgqhg)9*zC{POKmOUr^*%yaf^6(&{sVC5168vQ}2ow2u~Ua_*G#Z+Bn?6BxR*-iHZU1 zhlw-+oVNoOk55PlDJ?zBC4Y?y&c)2kjNytv znHt)Tx!1^c-}Qf^#2(_-2{P=ItZB8{s(}rgYH4c=C64*cj+=U4rrWSoZto z=H^x_*6)Mxo~!A?e(9lqVG2y1&lXn%Ke0_Xb32G<-u9oUm)`KK$ z>WJBb+WzZivc|Go>N_W>5u6+Qj>Ct+Od+p9Bdg5y(k>K})ISez7O2CX_9jsi5as6a zqRqRdu1!IvWaL$D)H5^6ZV!)%(e(CKz?df7o8^$*KQ>-BpIDhq+hD-pDjM)l{`sVs zako^<^+{s)&irps@bVH5?qxrAza<+{8ltoBl6BV5(Vx$M9%cK;4b4yY!8X$z&dHI@Sm(2pMEu;cDcA7(stdlDmdM%ZTHw zSf9@$;CEg0E(xsdB)NSD=AbG(?S-j4iQqILeL6294 zYC|;Cg(a2s8787=OWY@ewT1p#hNhlAcP)aa8nW0(;@EK!Ov( zp~t@q2@4BIOS3gAuN-J|JVaFa|9hJI>e$xoHr%%zo~9yO3$Tlv>rVzJnPjrSY$=>j zuxV;&ha#e)b-%u5IJFWySalVe%VIex&t z!(ltj15I=4pi1hWJ=^fD9PJ(UN0BuLjm~3M2uIMEAU3`nI{5wfe$YP+*?;&Oq`0V-fzi#27 z;tbW|hYlTT1V&G~KK@OD!FAYU5rEv*JYenmlib{<>aX+uj)nKnB7-zMGExh?D2{{# zV=Npq2?*9!Byk|4C}?8dDgI{VQ@>s}I|0pNs&+}nq{iQ>!vG}G z2l4SixL3O%o`w_^6=hWm)f~aUJkQQ1VofC3`z;2iPtRCv%v*T=N+&yzrxnq3h{>Dk z{d@0$b8i^XI!)dy8f*IqcHRpPn7#L81(zdl3mM-@D+>^3r6c7|t;uhvl!4ad|pEz+MJR-s>w&=~9 z_l||$;;+j8Cq!aD`efwC4@*!t&+(k1&cznTLTf+T8sny~P5R{JA)YVx7^znqh8vS}jPYkE)f@BfEn-wx*1pfxSM!qLz z>n@o=K%7ULZ)cuF>xUc;;3|Z~8rQ{H^*XNU;wRw*txz( zM%goyMFYY0!!R=_>SMU8Vb{@-?j5?sj%JJD2XUJSc`<4A6v0_|VP3|G?Bhkrf}Tl- zOP8u4AiDf)O!BV?;M-lm)AIj^F?ju#_=!XbRQ56P%~ziRdLRP!am)s2&vWFCvA5i# z^lNqA_(M z5Q3s*;ot~IE&0L+!a;L|C+ytJFDjhS@Dd~Ofx>lqY=%1EFSI#*kEX zx$D2#Fn(fy&4|frCb|QuFr*k6sx7f9o|s-gk)*!eDSBiCRQQ3Jh=dN1Br+C6ji7gO zq4Q8)vk+DbABFA&lKja^>@|WhGF9Bz9NclJOeE(6%Um2Bzn;1D1>ZWm1568yn-*|Y z?%EGJWb~kA%=8Sb-*vPIjWgd1ZyP<_^KZkRO}!?8LuHHo)tB}6aIG2xgr6;49TQMVtQwtx+b7>p;D;ezkGs7H^8yRUWm!@I84g$zQKN`85Xf05dtd~`dc}XGx zY*AK=TXN8#vi6)z4b96FBf$NkOW)?S4?E{2ZD(Wqk3I35?|=^$Q0v@g;!8u###OwbnU zEOy<4Ig*c@4r~zu_Z+`_pbD95H0oaN_uSyILkTC9tFrUTe~;7P0kggyr2 z#Y=(fyCymkux$PJ+DJqR2t*$~);llUZNH9yrq4C1RK^J9(^fn}c00UyY zgts)=Ush5*y`shI$F_U-ZXy#CTl2-HLJ7fLb`LmT0Q)8E4#R z(OAysl0@)LYz+NJf-|1zU zJ{ya$nY?x3Cvs6hh%f4`r$5m1!4*Mvq!LbzI8x=MvrURi3q4ne>Q3w%Mhc0zRS+SF z1RIf;{*Q^XATJxxJUYvt`02cRfZB(xlWP}{Q{`UPgD3@&W+eSXxFRI^VKBcM5E%ll zS+B4Db51($yT7QT5pn7+mgpuN8U+a+Nzv4GoNnpLpAu3aA|a*Azq2Q9Bn8_1eYc%l zjUc>gkquv{97r-kJY)!I80>XC#{2HbxleHT`uXAHlsJYezm}&Zm23`EE1my#4%Y{6 zuhO-X_+}h82$xwe^>74q0C&$-^aIl1Ez`4b_Xz?DYnco*#djn|nhoT@?g+#qad#)3LQu0qed5h$8BSkeX6c|9o4SH<21f z?r|EsZ?imyPgc;WoF$a}gys?Qvz6S5;NGv; zL0~*yO!J0ajUx6XAZiCxjM$T(Q6-sLE0m-xb6GdFp87AmQi_V{J|pmmC}{ z)5Op@VR=J!#MK&tazq4S5C)k>esoT|k&BTQ6knJ~#(qZeW4R#KhzSkE;xAZ1ZTrq0)tbo{B`B$H3;q z2OV$|Q2j`{QYPuv`A;Fj`ihA$G%f}Oj5ZAnh#&vWu72(8geesSw*Tht_1WKAI1PL@ z1fhf@uy?UQ2|S?8k-`9!()`UMQVJ=#$D0+s=bk1D7F$(L*wc^@TlHL-ESmYaKW~uW zOE`BzW@aQ)mh}18+q#PZ2;&Eu@zknHM^Zi_Q7G*%NvJ; zi_|MV7;s(N7c#rSv$mmoSP9CIi`9CiB9ws&#|Oiao3$-xaa z*n39@DWI-PFoU#(ZaG&NXZiqDYi7Xo)PN?*h_nXB(aUPrZ)OaZmqN>;$&hFDb37E|OS@VF$|yH+5APC=Inx;ig% zPKL>lkhhRy5OKVGxh#8w(lX)dm9PCp-USPp{sjxBS4tLy0$fkXN=m+}&R;N{{oLWC z@=ZDHaoN~ed}0I;sJe{qB9u}FI_vzm%~#sIT`AlT>9A(z{l`wjqP;WOk84|K6kOTN zA3Em+ukQcmmlRR^qbpPRz~4q2@25q^2B*J28anX_fIZgyq0HYk*NS~d#TQ?7ZNr~h qd?qrLrPS#7{lH-VAHVc(&^j(zmWMO@d*PFeq+>_*G;-A}gZ~#kB{LEL literal 13605 zcmbVzby$^Kx9?IEk&seBy2PMdh?Ei{5`ut|5`rucl#V4`0@9#JN=bv1fV7mrLO^K= zY3c5+J6`wx&NMvZO6j`3{a6kJ*b%f&hNP>@_!c zlK=C22^n3)+4lpLCWxBaVDpqI~-3a9_}AD?7DrrntUdQqD)*_tC1c zJ27&xx5HdqTqLrxvJvN!2WCvJ&0_xZg{s%+9**?xZWTFodS>>!|L>cGnUeo~BnjWM zN(J}--j0BoUHt$5!y>UVY$rn+m81DBhO>*GDk+gw?ffAMGW{rCi`nN~iLf*b5TiHEmwNt^v zQ5O^zuJ&kIFtf3pl1LRwtZXkcVC ze{i5v@hX#kJh*GUO)PJQWmi|EjRRy_{Fvns9tzgc7&5=6$TJe9OGB&~VYv(9olCd~9R3>-zfb zo{BV$ob2pTxQMSW!H)zn#OJdEZ|)iRuzn7DEK_U(wUu=)pba!*uMFT~uo;~rn%UGQOaZO;shyKTpd zic?^8-ATkvzrs2@5}Hl>@$bcp6&kfYNA>M5SGQfieq95Ly@fn7UQL=p+^6EI#KxS$ zy`D*|<8&)MzI#J`ea7N)jR#&ovf4${w#C_%m*paEP*G8_hd)r&?^Ic)$AmW-WPkk{ zOE2mi^)Tv&#|gda{h?(I3?{i}arQA4st@*gJuuL}ON=$}etA3ij!+%?g$2uUF0>YT}5 zI?d-o%^+y${xDYX-Q@K2O&oPVV4%UJOP8{Xioy>!^V|%_8$*n8a&i{Fc@q(%U|n)? z1=DQ_d27t6CS`%>p7!>dz3t_;sh=_FYD=)Z{nCss^(l|9t#5AL672u8zMEZKtY+wH zV!~mA#TrT^zAgIlWkx6Wv0XI^s^;Rwi@2|ql~0tFDFt-d-{-ftD@{#Lrz<<(wp;4n zOU=s2@IC7-p{AyWqwZSX**G5;cjfnt&Cy^vHsFNbyLaziwy-P2en)*KqT;q(-w-n2 z>$bBC<-$?7w6tL0sHCQ)%@xUCV`KBGTx;eSJdXS2q@K^MQyz9guPa^Ah|v4n$MVmG zg%~`1Vm(w}LjY9~u2R2&kl)}tS>Y9}G}q%fc}2zIF#mu6T$oUPYn2-n@Cqc?FH`_-K7XZyXnNm4~Mhis4uD;lz8zx3RH+iQ(hdn~uOvw*c*pZI7 z?wdtU64USzz_a`+HJ$It*~vTJ204v~vA z?#Qq-H#fL{V8Fz*sa@L6&Frv6_vjnyv&;TgCfEMffW;-$)>MoIjrI||TU2r~>;7sZ zn+NDZ;$0~>sISvHFB-SQsq%1RNF7cZVwRaFHx zj$3i*FXm_#`TvX;i8Go|} zIQ~A7kyN7l3pWeRwBCRFCV>h$BRccFx0ec~q@rSAxqEytEjG5i9AY(&vs$+m5k)Df zs(P14^v7Eglm4G2(<*45Pw`57Z%bG*Gg z!brvQwBDvo)%!*_?U$Z@1?Fhr!GSZUZWW!Xs%l0~P6IB8_FZ(e zAM`I4C|fPvgz+>*7uq^sa#j=y-puo93miEzT3VuaGN)<;H@V-*pin|WLT?|W;{Wni zx>^rosD`@kcae!|goxt?fmVrm!`fs^5svA7)7uXp{QW4eAZzsM)hlXIXThVR?dq(r zA+t6Nv{|n4ry3d>u5xgA!ddzD?HlJspQ;4R;-$S0EXS)e9jw}A)~8WqjEtl>>We&2 zO~*0_W<{>{&!sBF346c4qWA}PW(P`F&%`7EZj$uzBdSewpHp;ihV@HP(Oou*v8=qR z*9i%X!3-k)XDQih1_o$hd`LZbK=|Rq2jc77(+O_)A9sneu4O+d#MjTKrtmw})6*kp zJ45z{g!XxanMv}&pXU}9dByU(sU^9&tse_6Vfw0EZcjlo=GE;TS5{Md(~&IA3V`YM zs|9g0GcJV$(V*YIH3Ki*d_&93&A~wgDB^QTiL|8TsaMOxB&eOGie)l-`k=6|^EYs# z6BAz006o!fp!B&N2ai~0HaJ5WPq_CK-lUk|qiWMpM) z;i=D&l9HB|m+Qj_?yIol5#1TZ3&(B>nV0w2InB<_YD(MF3R>!=?9y_6f`$K zfPtG~%giTL$x)HpY{09cu1>2$g<8SUTGVuPQNj_e-<g&_cu6Cv0UK*;SwfO3>J?x~II-e*you5CK&h!33>i3qGx)z>lVh?e5vw`B; zj*brf)tP;vo_OZGYZ3(L>qNIQ$wh4K_#|))c8C2X7L0&BjLw}qr>%}sS67b+4NbBu zqZKeWK=o}c4pan=Xbf2*;}jmJpYeD{`nj1|4%SQbVRlYV1>LHmkb|S+oJyMYig#=* zU6CR5M*uVa{+&X&t*ZT{+f$>XHCUo9sex68&0p%!j~b|SGk)-Ja9|`7mAG=heBr}) zuUz>?B%i4C8IVsnmu{8zI6o^33$%vG<_qDw>UmEMQ5vvc0*VRik}}3= z05SJRjt_O!o<42;^yyRI(ojVi`I&)`_TISh=bt(V2F6$IP1`@-73LX$ErCB|r=)nr z^r}|QQ<%W4-TrWui%V5&SXHNQV8G^>L;6juh!a01Fdv7Lnwp($!g6)@1g(63$7*`8 zv-)zf4O-aQQzv28e}t2^-bb;lyLhQHsQvu%vqek?-_Izt=g?ON!WIDY?C@-Se7vQN4RS1NhZKzlip>W1hG3Rbhk3V6Czq8y znKp!KpuY9;JoNrj2b{gj^^inyCij?_nBUeebNWXIyOvn&edq_~!(aV?D~!*kCrH`b z+o!k12xG59n@QytV_`Y@I5Uh^@UHAX+c0G4zx{bDY^aVJQ|fjs8X6jEIn&MzPjozk zwxZcXb^<}#exW&{e*mHlVhMG|)^~k_f{^<}aB1O}X$Ql2oKwxs$>DNu9D2z4?Dv-! zsE=L7ZfQw$v$-yvNh*&YpF~~nC7k_~kwMTHOs_mIk>Qs%-u3&p|C=}XSI-mrHs}|n zOhJ=Hx$C;_-k)^HQqPlu9cqmi3GnhdrSas2n^Sv4AiN36ez1t7-8G(=mS27`Kz-j! zh7s!e^vcd&Y;e5Ok`St<`e>8K{Ha}VjA-7?drbzs;g2Y8YxQ(@d;Rz!AI|ONZuK%XJI<^a9Mmo{Y<6ho+27mQ84p35 z4+;{~3wM7k^^#zYjg76DUS|$}@GF#NG9^%V78sSWv2hK+3AEeMfr5`?Zf0hO;0-U{ zrpN3$Q-X?oMM~HWm^MrKnZYq=po*wKbnbAu=BtApD?R~%tjk(MId9*YAdc&K5= zc`nc98RM~U-eds{J8LaGFylQQB}-vi76$M1b-{1eE(p8v>u;D22aiNSB z2h-W@yy2Rjo{Int@i2k3-$ovnum7#vD}webOj1EK-Y|jx43^ovZJCTX=SMBhMv-~g zSLU$(ylAtaprB@a)pBp+MNnIQLBZ?7!ka8CEH~VaoP!c{QjC%fvO+L{R#fdKNe2xu ztRLrDhkGg;zofqr0RzV5a8kSfG1_s%_`O**2QnhxoTK-LGx*6iJ+x&~&~g-YaBy(L zu=#vtv-8U62|y@?=5DnvW8PFS!n>u;oN_0j<*ykT(VZOTwObmjWjtCr<9xW;`~CZO z_qaIvKjY(%R8>>+4xPEt?=X;}zP#G++`Plz=+IBa#>U3P%S&-Z zA+~09ypijow4G?!^6YZ@r0@2j;~LjKAm4vBfbStz7U9knzC};tHs|9 zdzh-S6PTiNsajV`4`~hgXMd%SAN@KkGg;T${!uoV<#i%8#z9*Q+xEN_ET0?|8S+# zlWNz)sJy(q-zd^OK=zl`MYVj+(a%{&YjYbdEiEk!*^Q`bm1H?CQ)j{7T)1!nf%}~N z{1GSg0AYWq&C3hMGqAlsfV$MI!EZkJ9VV^@Owrp8Yi#S=+eWB9*x53GJRw25M-9{% z5JB`&eNds;-y_4e2|3GE`@ts=mSKPpPGFC%OU}Ww>mTN>SzB9o<5R+$PKk=W_Vny8 zFl<4t^#s`R_8l6g}Y^Az@ zqpon?<#jsRosI^WjC=r=2@XPLPP&;`_<6$9w0y>7T4mOTB^dp{{0|>!wuYUSk?n_V zi2};7|I@-XdF}LOPRa0NA^u~)-ypYy|3+(7I^Noj1?V|7Ki`t8Q-MPsgN}|a3QF2( ztKaC>lARHvxx|VEqSdstT0qwLhEK}y1A1&>e*QCH!lt#aPlI>@0LoUxyu5u9J2yX{ zRov=-fkUN7Rz^k-SlP?7xoL)Q+KExOv2$U#s4u@j*>bqUKpD_ry0bF2@Ka!3EHP>yI{ZTl z0rd3;#lBe1i|c&A3wGjWMQ(@_m8W0r)ZNK?>9v}EB{mi zu=i%7QigR5mCoEAh)+hSC`lHy=#ZE5qjWA_z8KtX0daXHnZ>ASx9niiN? zR(1)C#SV6Nb|&#FcBN?NA=_EQ6F0VM53&jM&F92`9X&7Id`^u`@SQa%{AD=q!V!#w`9WqN(0_ zq4f&H7w(o+$7OB1`E;PkB^Dz%AaJ9TlZHuG{g{az9^SfjD={(ABL-Hyth%}JLqy53 zE@h$;LB7V1hYAV`me$s<0a;4iyQdm)Eq&x*O5nODHMSnceq_to(o(R%h%+V8Ma~-7 zW2>nj(MzgyXxhn-JV4Ug_sg2MX+f%;o10@0NMe7~fZ03pk|1zkF&q9GT~Yn66Hf2v z=RawP?n@FdA9p+;fW( zIeBSu5|g#wT|V4hFg&?wvq^SbD90uD>cNf=j|z z0b#`(r0Nm`CsZge>r@OE>6XB95_(JIXd6nTToWQBCSKt6Tie+1f;Z@&udA)~kSh+` z)}$cxjso^E>@ZF5xm;)LyS06d&j$cr4GxD74`M%;nU1j3nHghHw7zFsMQOsM0EChn zYCQWXJDa#>d}83|&!2sX^N-Nw@RmN07Y+^@2vn4)(0_F+eAuN?eXK+3k#+OhK9@n0#r_03wPz@i0J6) zkrOV%Mp0j1uLn?|lE1_F36QH#W{6YX1ick~nwE{o`?L zJbq(aZBqTzXlVIM5e-&8j4x+;Y%CF*BHvkb&*$8xe@ZPK&_^IbWEU^K5g4||L$$ZJ zy9ZG5Sm)>>(EZ^<66EW3b^qKI{>`G5tP`yHNjyBXY2S^?g#Dxa<#Eu1qtF=q$hV>K zLBnUyf|o;-FS%Wji*E-sCY5LJqSWSyP`*YWDDd?S4OZ*sBUL{y>wOVTAVZ-9%gQ5F$-3n49D`L$t#Vsy6n%op- z_S(P>ExM}f>gKJARJrhWqlG&8_jL9*Gxq736)&2Yn3%5w3E4~mZ7UCpjBLEDyT7$q z2iQ>0%q$3$`tS)3K=;erfgqSf>8m?dR>is*Kg?2AR(?nmm>GN9?ws5Hzz8QjKHNwa zDinXnR&Cb}+!auiaRt~}*Yq53zw!}si9nFY?y|hguwCci;+hQ2gZe`h!G{kYlKDyc z`udJiAb^mWiK)iAcKd`2`ndgr>1B5I51dTOe=DAEo>O-2y5FaqockswSvc!Vc>a_; zs40(-kdU4wpZ@;-zG5@l^Mu|Hw(r4C8^t?J`ITNO%HL=>@DvWDkdWc&K$CacS^B{A zRHztv@gR^7TRmSI4+kn+Le!Bd&(!ETsN3Q&N5HPjw6zgnDca;9qJ%`{~1sR zU{jVWqj!PaK}S3R9+vjWt%brisK2^zPU7<3NIU895ULn~x4;T#+-uwfBXi>peFY;Z zXVBn1<*ImZ-pmIl>;|rM$)~v|51c-51fJNF`l6ARFuVTyio}~Q+^Q-n;xNp^<%X8w z3N!v~(>6n-BlhDYs2ZSOmYZ{`+$Z+ub&vfgCJb`-pY2bW%(N$tuG(K5CQ9OYP)xuq z5}&BE45La(M~5U+syL!BU^@xe)p5@+mnvK88(QR!S!WmY-~IOWJ^W{ z#9cVd+JH~xs)Ff+UV}PsJw!TC;u^#tLL-sb4lDEs>YucF8lnE&XZG9`n|b2#wI47@846x zaB8@$heo3dhwdT^8T_!VTu#3(k^?p=F?qGe=BbWS#deU%vcA_>?}g zhldCBrirD)UwwVP9O}82O}(HBdaGusSDR=LR!QZfc~1kNmEtHYNrKm> zRDzB)te#m=Kw({`jiHe`SVp1Fw<1}9ejSpz_Wqi4z;ggYJa_zOt?_|iRsf|~P#X#8oy1!JRQSplF zBDeOAq}`#L^>*xA1>0~YY=q>c&cocST)WoRR(NXY2(8(;tX_lJt@$b$Vb7?p34j-~g%I#y5K z_wO=A%lzPAo(XBh!w?gCpF~_OKfhX#-9H<)Tr91q(9&1udK1dknG7{aJGhyfn|lt- ziMLG#G%aaMc7G!balm|D4w1^q$*F2q1GfrJOJnzyWRaAVgiY(q$5w(H76{5;Uk(i(VXq-1u$rsWHKVk$( z*QeVATHfwFmn}w6b4pqo;yX!bYSIi24k`gSI^M57t{bqZ4k8uZLBVOBBJj3N!my-R z5GjMdkUq4`S48vTL6~sv^z7_em?1>n{{$~)ecPrn6W`xa3t6*)XF-a}$jg&fP&fyI z&21NM3^B+A_ItDGNC@KD&kwhxf*$shfO z{)uh6n+^r4N=hgc0SU>k(mQDMyHKvElKnXNp)j-@HvdoDq%$1Wunx9te$hl2G_8!> zTpYLwCr}VnsQ-A^Q~nYQNL-_fi$S5G6ySzpzImNxABt~!&js8Pg~&wtpu-eRf;eWH zw=B^oO3s^t&HN9R{^zihNjL_8>78+4VQ6^TLmXA6o!jZz3|bLb+2S%X1o-FZe4(3x zK;3BS`TQ!66T0!%A-iHRE|?xcNCzu*r1n7K^G*ACVSMLG2Z`$&_f|mNgBSA`H2-%C zya0Xn$E~}6chUD5sJcXD+UFp)aO%`4CP6`JumfKzH?my;b^#?j+Y=OqRn^uGgnj~y zi-nW($HV}v+GPsAm0#+*W8kLZz@@SRu?PfVy+8GSNUjCWKu4agShB_Tc!-!3^lG45 z9iT^um>;{{yXV=nWcM%6(%@8!#wVtBUs3iV% zjxH~g0xgpBNs_uAj(BlEz}&@|YKqMUMuAAIEq*ZMlK>lnKZSF=827WR~ zgHFV)TNS7%c6i=xuPXrtk`ElI!p46#ivUdzMyxXw6#*gPH)z3@vz?aG zzxNRm3IMAr=>N^Cr5OELwbv+oP6A%iYXCh!Q!+`Cp2@RY;2fr+joyZbd#9wZIUlSx zQj0k9NwSc`KYj-uGSc{9N72n9sW8Mp+s-~liL0ob2YA^kuz3N5iaYj}B^Vg($V+Iv zkzxDe_~V*1>w@6i?nKjj=65odyK9EPQ2_EraWcFwF$GDAnVlUU07Kevn7>>kH}lP# zlu+H0j~$~M`p{`@<<3IjSvSH)T#0EK(zBp?HOZpb1AsI>%pot;$i_jhisvd5u7?! zKECsCLJ7{DlY&M9^5YCX?w@xdyX7L>f0Cgj`zIW0(3n|@&4>JNne=>wtPritJwHf{ zRc;R}%f%ufQAx=iI`9}YzEXflRR?Qw2w1IP_yHB0bJ-Mm1rn0e2_w^4QU9E!q*}`N zXOV;e9Pv8PrSq-ErA+$^P7`{+Hkk!5-_a*Axv)U&Cz;d}SqQ_R#C+%*;6X?$cp+u% z?d^@siR&C3Cs5G70ZB<38()RTC!?ba1fS>B>C?4sZ6Q*k|D3KAQYZaTuFKHJvURH& zpkX)a9<5O=j8roQqP@JmXH|ni0DVJz={3Om3@#I6V{uq5a8gPQ7C`UnD>9*C5OpRP zT_xMVJ9ADFl7RRmG+uW-@vZzc#KlqIUj`Ob|GR1}_J80`Zf5n*|5hE1qG>@Y zA8>K!{lyYvQ&YZ{El`5UFI?~j>|bOEIhs=Jd_?o+GZ3?+K%{Uz+*AjrE;n%NY?L*) z2%aS+B~P~g)^KHr3|r@3ob=W6$X!6^tUK6UFB*1&q9Q_)Oqt5*H?VUmMQi+Kzmb3d zt;j10$K)%b{f`UaBDMsdA>5~-5ryLpYL;98ixF;oaeHU9*0a=Uo7-+N8aQk3Wh=0v zkqv>B0bJ8w?dC@F8M(W|Yb2uqumRekq_guK#H}4&Et>hi=X|$@l#~=c$OKI9WWGd5 z`{p7L5}KBr&okbQpB0faoaEsC!##5!P`sM&;X)jtQk&^>0?r}{ZPLd_hvYEFJ@C$0 z%SNr`gKSFj8|jgEJP@N*Tikf6xExEkr~_kKia{=X;)9mFSE?<5m_+M)X0Y6m&bfqpz?3 z_T4)V055C^S-A85qrv>y_I|8>AUX_G1~@D`AnK~7c_;OBplQEs>FnxahAH);lg-BGzGFUI8#(<5WmnSB@ZH(52m6d1e5RAA zl+@HGf)ZVcaL>l^)zR^BJOE9gTxD>VwRzy_R}# zTdxKMv9;Qf5k|1byLqKx(Kqz|D`%68lcV~tIFEtHjEse{rlvoL;Cc}7u-{o>e%>1E z2k^PlqO3dSQNev-a2igFiHX4_p8;v0>FwZ)J%k>xlIM0v1XtDO#Xm4&YY5i45Pqzz zejoa8{Q=^e5fUPh5db-ofCc02`n-yo8iJKUg#D}(mQqq`JxK_rls7;wV)*(_9pjO^ zHxbph-rnBM#Ay1oi~yQANLT^r3I*%<(o zV|+fZ8V5?%+qk$OFht-z@p!5ac)cVNQ|k(;LHd`4EXL0MejRwA^THtC!w%FQ?r&Rd zFX=24aPU^jR@~izU z7mY9&Pbe<^(HalUitEK+zKp{9AO}Me7Z$REi4K5Xj&q0>KE(ndiH8%Stw?AbbHL=I}Ik&CL-NI|M+7 zxeG880HBt=0oa52$;s2OOYq0`O3>N8HXQyhP-ET?sJsJoZzu~QDH%@L>)|Xgqmjqy z)pa8Q754aO`4|Tn>jv2WMckPa=skSdJwzsdwlZ1^h~RS%7TyOTP-|<}OYsO$lb zEGA^10d+y<%I2?~4x$shkV+`p&dx5^`v+Lcun(4&mNy!65!I9Z-P^bBV9boe7!q_n z5QG3M!KfA0H}Kd%YWeZede>Rh6`;L>Sh8#zYh;VnT=zAE#X&v|@^$win1Mj5{z9X= zrlzJ&<}G{8_gu{ivbx=Qy4BoT-`yLj9Eufj&CSiFjSyYuKs4A-pRR|SG(kLsDm=#! zqUqY9Q%g(dfJQ9k1Glf&&%b7eOr{Rnkj6TQj3MSd+m$P<+}yzx2 zi987mhm7p(dWaVx^n;C^UBAZt1pB}%-5+B1@mp*+WT+}s(-P8U9icA_W#IwGEhO<8c ziwH*8#X)6QKo<`gHVMd7H-80mM<-}0Za55#{atu?D(`Z4rZTmdt8?V!3!B3|?92YS zMDTho7y8h2B97-_3Lt{-8&bw#5Ko{HV|Q7xcAH}d;~YgG!sycg(nnH^pFT;vcyTQ< zB|I`R8T|2>u=zXAJ4%zVF9~v0NE&}^>;&v>k>pR%ePc2<1A&U#ap{zwPjFs43-136 z&6KDFcO)zHCnWZU&?N*gYH8hLd8Y?aSVZ%M(8SBx8~Y~_WhoQXbXAJausq$}-InWN zIfl*0CNE#Am@|>wsT!7#wimj6JL_QaWqeRjkoQ(B+)a^!hQ>cV-jOiD?WhdgL;RPf zrjk${tqEcwkmg5n{~4fe!{Bg*ai982b`5Rwp1CM<0I9!V@8H_LKf%*x4%g^D867X_gO5E|$oC&Bc#1bO7(V7(1Am6f$M z2{@Cu5XO*^qpgzeoURS%C|-9M$Rw3nAaUjnoWN39M~8lU2kfZ9@vUTmS1I!C3yX`- zjEv4)xpIZTTLQGIIuPt3mIEjW5{^Eg*@8s3u&@AWOd>$F@EHVHLT3lK;w{7W8j`w2 zUjaHhB#D5e3zMVNVV&K4u+#&But>fTD4#UYP`JVk(EcT*rCA{~0@#}G;P8-(e(OER zLlVALw(>uO*^OaU5ikuO*VNQ(2kFj-lraf{-=vJ9^`Jww{}YsgUIgLoq82mQESns} zpdVe|1w{@NZWJnC0|}{dKf^=83$57S;Z9V3EUHU6X(J5kaMJuASVHP>iNw(*qE82d z*_oMRY0xkrt(|qyJ_`|D(Bg?1?ofkM(*SUioPpt-hqzwm5K{<@OoG{HY78Q^fQ<#; z1@Q=yxjj8<+_LYR3;-pJOVz$KHg=at6bC8^{RwqvN$u>Nqt7p2ym+*WGJ#W}r4`d$ z%=fOz;H78y)uIuEtm+dlx_wvPT0nHZtSk=XL_-G!d<#Pf1EowrK;T|kS?Qh3uIYUL zUNcA)Yz!f1U>oFo{t{FD8yx@n?jNW|^1qJ9-$Qcpe|*Ev$_Zz~StjJKp=47+ns(jx YFQaa$ I [label="I*S*beta/Max(1, H + I + R + S)"] - H -> R [label="H/hospitalization_duration"] - R -> S [label="R*xi"] - I -> H [label="I*gamma*hospitalization_prob"] - I -> R [label="I*gamma*(1 - hospitalization_prob)"] + edge [minlen=2.0] + S -> I [label=<
>] + H -> R [label=<
>] + R -> S [label=<
>] + I -> H [label=<
>] + I -> R [label=<
>] } diff --git a/epymorph/sirh.gv.png b/epymorph/sirh.gv.png index 054a9eaca9c9d4826570970cd14efcab92db76f8..a0bb7be6f3b6ab3e3cc2c23dc761a6023aa3b494 100644 GIT binary patch literal 30137 zcmaI8cU;eX`#zq%i74$WQY!68OB8KIrL@yf3TbF)A%r9v+J#hTN>fW(S}IA}wA0?Z zzQ>d6zVFW;zsJvgU-y0C-Ru2&J)h_EJdg7@j`Q{4jI!*u&2*b7C@8kc%birEpjhjP ze^1-E9{*eXD3S;Nx86um_9Vp$`Oov*SU(Die<119jmT1sWu6I z;>ym#)wt%)ljOC#&g?#+{cc)2Vd%;g=OpTPNlnc+rqb*4uBJsNXgj;#7+TWOJyE>w zEcH|F%kmppSxwmKS?C+tn^^_(C1nMr>8rhosEQmWF>mtoicK3u>m!usDI=J$}dk^9ee zD2>+pbv^m-Ws0`4m9hNyD)(uXe5L<;6-vP%R?q)lh2ZprkktrkOp zXE(AG?KU(XqWJsCOsy*|nNKGt?JPaV0$N;WTEA~Uai1eLI{L10>Em|}Bl;~ZEpiG9 zMq?etnORxZzrS(V5B@k|V8Fa-)22f@>5qQ?G`xJdD@9w$bzJSxpGy|4{aRPon0&z_ zt#DQW&s7xIJ2?1AIX3F~^P79PG$?6lAH07rc;v{Dwd>cbYG~YxirQaLP|#;5`pqKv z(f*hX|G8^CgEXPlfw^z`)bMIFC?TNH1+8|3nTmVG(@;ls^~OG{&8WAA?G z>*_wzh%2tHR+-=W;F7G{%e()%qP;e_KXm3wt zaMWd99-f%|{K$_Vk7K#x_r9QP@SOZ#d}R8s4LNK{O};T*Ohn|@zyR0My`ogs|3!kJ zzO3wqZQHhWDl>+@mQSOsyZgULsC2x3{rcq03>6)n=*8dXPoLg);=~EuO5L+>h5rf2 zpm*!nuRm%(xHl<(S@hhwb6wrtPa`6f<>WTb&CM~0+TFi>d$kf9RdjUpQG9<#htW{- z-5~Y9T`$4QY}Zn+WvnYgN6qhai^kHwOkf| z?Ql}NCW?(UVgboBIZ z5)w?O2OCXHOs>t2Uf?>(d56-7&9D6b=U^#uQT;t<_i2BcNiNVvy3M~yE2I=GVqTe* z)kx4b9pWoG?EBw?T1i1Ke6`EDeIbH;=%k_H^E7EngWLbvl+0DfW`C|x=L{f!8>Ab* zg@tY3pUte3($iyPR}T9*Q7tJOTldu0_ml4d#nJKc4?V8_{{Ew5rOd`wR@JQz?cPaA zBiA1}8r{fcLf(1*{(bRX6H7}jtmNx@gGAGxioCf+5faXh%X7T}#=i#!q@z`T4GxOG zdFS)^@z>f~{+{c?bl!-HD2+I48=H`C{C8*fRXpP^tg7-Z_M&-jUb|0KP3>JqM*c5r zrBrR&=kXeBSk&_#La(T$Hu7^jIy(Lw8L2MwW4E@pW?^Ajm7uW@J^c%Rlx5r7*WX`Y zBA^#5m;b|HWnObTqv)Li!{i@sD@!v`4Fma;%Q($Wz2Oemu3ulrbHF0PsfYG4v*a<3 zG5z6=VlVO8pB~2P4)*rrEwc)$a4YtTmqoY94y-uO{u|jmm z^1=wah=|iyqxF1yxB3SJ)c*K!w1;0)Q*$`0m#ODVxY!%x&DPu(t0TPe%jU%q0RbsD zw`1ghe!9DbdzVbZ?>ZI9?q@nz z&*o{oQAa*=52q|WEF@I)fQtQms(Ect>E$a|Ov@i7haiRFK=0qbpSqbhKd!y4?aTB~ zb7P*XSX5M$LiaD{kz82?h0V4-m02(NRi2qex;`uP+(ET>@BRFINyO3Y!UBF{UY~FK z=>r1;L*}(#tAm4sXJ=>eoY^CJ^dF5rSi8DPV22FeNNP$;uW@s8qwZbRiH%I8?wz7j zyFVcRrzFOBfBGbK`}Xb8>1mDhsi~=VP7@c?t=dUS%U>F@df?-;;pgY4`%j)cd2q>k z^XAP#63$1E-cnOjul3cid{5M?Se%=%zIN@*^xStHtJ?NObKKI69nW(2YANo$+dpbHg_A)S-G$iUR_N%ymLILvFu*0UKXcPHMjU@f53f}xm z?u?e(v9av3K1|Ws+4O#8Me|bw+{@LXqN0wS-opN34LA#8!FKJPnzB+-tK&42BECg3^5^#3ec*raV(ii5$E(Ss4GgULSY7RtoSZyB*FI%p zW>$&>GWXMC2ln~)DXGfRQd#-k>o#oY92rqLbA}Ris=U`AeYKj>wkubzJbLu#=dWKE z#+L1)f@8%D5;HURs;H=V&5T=~L+vK@{*z@6!o0pCM<2&Z;tz-_O08*WQF3q)w)`Id z?kI;#Pq5kO#6;&^8vUQ|tB)CDCH?@9!(YC9p?3J95_a?iAj1yvQ3@Oc)U4@|b`?Yn z@Ck+Z;%Ff$BB#8lFCYcy&a`=DXQLX6AXSX@O0EPC4qirHyL9Q&uVAwX76Ad@>1q4u zeSJ@5nSKRm>a&Q7(m6Od9I@UqZeQXV$(h)WG`eQP z_R%u-$kB4HB#LCC;>|B#zH}TbrkSgKbz)g``*PkuJXEV8_QF8lRYO>Uh8o6nF^XkBTA< z_;LF5Y2D0gC+0r9efw~Dc-XSZ2bV_1C@Lu#$1Nr!wE{urs~+g6>WGzG;-EirnSy7E z-ty9=7cXAin&_>rtEo9|Y`nj>Ix_b4>-*ti4qv~0E2^n^GQRZwV%5HX{<#TIin}Rs zVcNB8U;R$CGxGAAP#A@d97!=Q-HyX9r>JOL=6is8%bvleG%sAy*wS*#N7SBx8G&5= z>O9wlzLAmAx;iQ(Pa`8E)ZdPu1s+JilvGq62?^Y&D&Oks3Es(Zns^--7nPS6k(kIs z&7&)4ZhjDHBuw1NSJS|CkF2aLa7JNY-$B6Tqhewxe~s^qHxw2YW@cyGBGCXk6ytl} zy??*vIi97a<_z-jL2hnF!F$2_Nxh9`k==c@QI`SH0iDkv&JhI5%gdUKac|#Rd^%bx zmRR9EbK`qMgW8!h$B|eO$Eg_^YUj?~#cjrEB+zAqoWDPC;%`d4s}`&LLL+W$YU-Tw zt{L1HP-T#q1CO$@GN4fMmF6Q`*RR3dv$C;i3tjqBUERCTzH;p8)2B#8At52=R#uvC zH!V-bN&-nJsjK_j2up~HhSbHX_(eoK_Vc4MH8l-8YJJd#eG2P7mIQ8qthXKQ`1<3Nhq zyLJ7I8#malbBy}>?pj`+$)}>F6}h_q$^}857 z?_*`XQy-_v^`Mn`@#hAr#}|}0N5{mB#~Ca=MAcBzUer#|xOCo9zkHd*03c`Zco=Hy zmq^JS$5B2w10IqjAwKm@&5wG6?%Vq~X@%9*BX6q*1_x8+Qi3Iu5)*rBUPucG387lW zi5tY$anRIXxNxD|)2Vr|@jd(0jE0NrsZ*!?0|Vb%)N=|53f5Yrkq~EKh@ZT-P#3v; z5}SpzSKKM?2p_U+raZJQ~u3hIC@t{7Es z@$TKb6G;sdh`NYZuUM~UbyJ6ghRzKbtdye|2h1qu>Z_pmBgLYi2;kSnt?yNi&E5I& z<9tp|&W|ix_6^$^e(JQ(Qy)8a%;4zvlhz?zx7q1za~j?wadcM%c4GJ4mm1uyOBo%K zZMqfk&`w=XWk+Xb0=u4MUij058)=h{Au%zL+WQp^xAvXz@Nk=sjg*v>$KBl}wG+O- zw0NDD$K+9P{P^*kzOx)WJZ!A2YZElQ3JiZ%3AdYcmUt_Sui@dAWW+k^&R%XxePFQI zLF3XZ)_wu8e!2BS!0Xosk>749vUl}x7+<@@sf%@14CE;;DY-|W9FC86%Y*9bYIYWu zf|uOp-W`98yO>6^u2B+1F? zX`9iXCjeJBZr@&FB2e4VP?~vsa& z*8~7LD4Cd$L%LoKskw-(S+j;Z;FzYyif-He*0#2Yn>Q&wefqR<^X7fr+*SK%cQP=D zUo}X~%geL&lkRzS=Hf-R{DsyL|Mt2vlZXiW!<~n%GuXnFJ(Xj#E!NE8R7TIgPE1sm zZwuzy8yXrK&})&VEhQy|;5o<1FD)hIze7?|Ql6>Ru(-H5{`|Y!-@d5>Ira?=MQ3FN z7ZjYJXmjdi)YjHMkK>B^AeEp&wR`u;D_6Mj3t3oALqkSOixvm!fa0@Jv>3)_X0iYQ zNId?}o}s3ypb6mN;aR(O?HMht2Ob`4&`kpAy{I+!U)IN27CLMI0BK*`yN0K!u$Tihf=Y1{Cs>L@#{|A1w}>0#vCWX z_WAD_pTB&GNR8Z*tM8MLkYM9?y7JJU&YZuScI*0wUS69vZ%zqPwRgIdqlHIdcAeab ztf`R1a+6^Zkjwe^eFuQ!T`iQV?_2;ksFdhd}03fjAO@A0^L zBO$uR3@hf)BUg+J4JlAg@jO7tY=VM*d3ndWyXq0#=rIaBHegrC9RhSAL*ZDKl$AX| z&iSdjuW$5M;o@{g{;8yf&cVTWp{Trt;cRSC-_(unpy~*TICWF}EA9)_k)yLSmwa$- z?OAOdoi|BIX1_k&MSe&0pn+4^{}Y(kX1q&&ICn-Lgvnk;MpN8XfWlpwsIws(L#ec< zr>DyY`Z_v3ef)US=GU6Qm+Ac7n|!+@9J3$kLt5J7)Ohc>&zCRC z-C3F%&yfXH6xKZiwGmg(`G5|KBO@d8xvcD$aQ<9Xkb>w~F@gX{WFH5|rIu1pPfy@D z2EnQ%thtKhlK=etjqXnkU%os>bZmovg)YAFa!8AVPRp4 zHun`*R6ENtrn=f%Lg%shZMrEolH*6f8XYQj^@*( z@DX0G`}Vuq8}+W60h#sLH!=8++5l&SjR;+rDh5D=XWSprHt~_UqTL^3K0( z6UU0Arj3I`MrQC~t>sZq$z;2J)o0u~>va_@?%uicBq-?MrYPFue*sPoRso0We4dL4 z@Sdh?Vs5Sk?y6j!|2+sS^lAa+QHzT%-H)e(1Xo6faUrk! zoFdbWK9-)U(9$pwTb!+nU&2Hbx>Zk|T4!%>kE8rjBQ6VlDbfwPa`zK)_2d1qktrxA z=z%#79Wp`t|D&<-th#y;*f5l|Uw$gb&eEO4mT`><2@Cs0MylxQGN4o$PW`U8v$Lx~ zCcS+5(1smMCXFekm)rBgx6vOtsOZG2lfKoj>?Bf%n8UCM@M^jIBDSbddWXc?=kZrB z0?J!hbW{cl;=i6PExHy}DCW zbW(`UyIB5;re@$S2S>-uuhJKB&*hnnjEv;|zV5n>jij`d8DeUDoo7b zaYzVVx4}d&8byU}ALZEnhYmezd~fz1Er;8v2lK)D{U}@whgX4CQZY3>V38K$Je=ie zusj}k^3*B4jIoPotHll!2u1*h00j{skd~H4t+p-$UA?Pou5V?%xlp-+WzX;Zw(C>@ z!*RKk@ut9QJ(aZL5)$a=&hDZw^88Ao6UCixy{Vqhtdvj&*V%6E`%>a2+0skVC~|xM*Y&@XQdQpu-RN@H z0_Ev{7|apaKjhAs++4<}+Rp$D$VF5~o?NlAVn24wO=;JgckiC2rV4eNB*(^j0x{k5 z^h9j3aB@CGo(H~0Ix%r{47zu3J&AtM;s6#G@yKBPIpRK2u(Glq3^<4#KM{+JQF{w5 z8?)Oi3n*1dtRW!!4QJ;E4<5WoNZ4jzV9>o+S5FVj;EU+!byyYT415=IhRtw`2nb

@)sfYAx6oudj=i+e-9p3j3b%{21=88W!^35~j2*no=-~Tm z0joA~q+b6_a2Y`$#p~64uMn+Zx)b{`W{W3qFIn(at5F`Ky3!q)fH^tSOn*iVA zP~b7gfRk%$pQ1llTwHwp=1lfaU9F6=4XG96n|`fvQ7mIKulbmqEn*C z*wHr6N%0gD<;y{Sj0X-JP?*v^_CRuFu3BDB&am~vb@XTB z-c~Li*oJ6ceZ-MW)Xs3_SoJUli5vb{wtf5ei`ey1f@)j4Zk_e?pcbh_)6+3AG50|5 zi;IhYuBa$%Z;yxc79#jgBFZ2iaHNOw^7&%f$e z0bPQB<2!nEmS7&UP}4!4iA?!G|&Jmb&tJ#x$oH_txxEo(eRgo5JlL4 zmq}_-$^s*KCa!+)$2$*Xb#QiyNLM5IE5{Ispie>(oXkKRrcF8^sK7LoyP=CkNhPc* zAxyFFZ{NPXW@{Ujo2!?VM@ooL_+};Zt4v}y{6`Q{N~kxJZxd%;p|G=0|Eol1itbA5^8E(_w@k6*qVZxcHV7Uxx5oELWC4>RrUz3UGdKQx4v zHT-nwk+TK{)ufLqdEdS~oq_YtDkw;GlYD_xQUjO?2yBHW0{o()nf# zN3Wulag~vRiHS*kvPK%v7r9LurvSVns1rY5-_^PbhD#kZ`OjaxScN2wqr5{mUSyW=_{^ewB9Q) zG^~Aj3jF4KtM+54Tc&n zrYK=*dU^>;;h_(B48{h^eJU1~b=`JGgojt{aG#a#9ssoQis={jOVG*CZrMpAEE%pW zYhm%$mo-n-%#0nqy1J$&mt-6=OAc6g1!fTnASN%9v#6BC)q_fL4>QHztqSCH!Lb0e zeu;Dn=JqF$WsVz#^USa*syZR_ZrxgiPXvQs0V#u`iK6vq`MW9rKFqINIrmmra(UJm ze2<)p3RxBKXr|?93el>|JJ9xOrJC==lB=t$gR={GD>ZRCuv&5@3^5BR*AFb&+RErx z_KNkog@pyk>*+hjE{kKOXjuT+s6n+nMzG>pz||Ynok#ZSEZOu(EN1R{NZ%AP96RWR zxfR?6(N}lu*g+~PYUX;6TUDXLegOf+AFdA^b)6Ry4d0HY8x5-G4(1p2M+ll%JnpR}(|dyQhcFX14^S7uje_uOIT9}B&p59P==uM^kvg#$K0Hl)$&_UOZJpBQcXz+tXvIz z_KdSE%5`CSY`lV3N1YM!Ex*HX3;!NjtQgg_OK|xknW*A&UzB4om`_7PE5Ooh+`6^v zg(uTX2=v@K>CYPmwDMfCP93fM7TDTF-d&6qJ-6*%-%s_z(hi1~}VsBzFcG ztq1+o{(bva2PhOHy>RgI#sY!@YDB-iR(NmQKVlBx1wuAS?V7gRG)th(Ebh_aJ0=O zWOWquj-erMjks_o#Q}zv_w?!+73Tgvu#4akTO*?kP0s;dTXieJfR`dKL`Bv@)mM|9z*%bFMF%}35 zs0K${_=;(tLexERZN6SC2%lPA{#p&ioAtTCFeqT#mX zDN={X{<*SJos*qc_-u4bTdwn)xHz@>uX`djKTLGP+1WGd>L>|60F?~-PR?|bB`9H(wnAu> zo<2T1P*BjkpP#(6OIY%cUm@r$_(H4MG6h>(L94tuHpDWp31FnjsrV%Mq=q^uO-4p9 zzos@-g1y^U0ETGe#*KT0$2$A_=kA`aw36xB(##dNue`jxW?<@L^s6AJ`AWo_|CT0* z<_fFjDjhXLQ;wkPx^iVGsNVuzA67v~ z50#fD#Q>b-f+n1dmng&GL zQcJipxOFq1ApIyKJJ!@tqDchLgun#5x|^DM+{b;<12jl^Ma6@M4?m&SfL%fd>-#O( zToQ*2>rHf0!r&uFNs&X_0~X!~hG7gv>Z6S zG{MUjBM_{XM@$u&JZSCEIClYdfHp%U?N|Kdb{Y)R;#{>m8zhFv#V+>m+j~D`=A`@@ zXFY?q3j*-R=zb?8wNB*+PuX$|A|baUpD+m)TfYtZJ=PwdciBA=ZH`xaZBS6qCD&iN z=*N+S=0F5VB*gx1lSB3$<7uvP@8nJD_#nRONLvHdP-)ImxvT!%6jrT_Wnynnnosi_slCFPYv z6s_&IGx!mwq8nO4B~B&b#@(Eh9yu1_%x$czzthzF(t^>rT=ySWSkZN%qetbyS9W)I z1Dc)H(1@8_D=~OMNUHn#b+zu>ePM!Tj|EOuiR*E5 zaw_z5?7u^45b&=XCb9PO=Z#S4jpr%$(9m$vTnn68)dc&P%_`y6g-07%@y1zuEq`ZI6%|vv~`1nerkO5HiAli+A$kMb=Lw3dk zDWt&1@)#XD`soC_lTsTk|1}xKDLyP zqQH*MP7fq9XbWjSjtL2&!rk>1;^g4CFw&MwR5OS-6qMk?QRjgNs9|#XLg%^fPUeZf zZbVo_z#W3jIisp-#9#F(=T0i2Cu%1OnU~LGSu)YlJ(P)hXEQ0a(b~1KxtWTYS;fU= zF{l&({g7|3lao`zxu-MH$U3|WGPh6Zgs$?RrzxH3(K{`unvD-jeGRnXH5FSbht8;HzCsxH7CC~GgV zMyvqv?B}ne9hRZn9~6=P5H#F*v90{uAhbUYeygLZiiVcvrXp8zaBOeL$}x77i~jyg z-JkDLcK-M`+FEuehJD3)NnNr1Hj`wXyZo4#@ts| z%k6nhDg5Z~A+%nCP-zPd;^D)G{wL3XFaQOBl7a|A`u+z+Uw&;?cD9b#WwNb!eK!@p2&E24@|K4v>HQMR3XD?U_&%!T+vc1|k_723( za>fg|S|=SH-OIOc%R3~ZpFcm|Zw7YQY|L%n2#1u*mA?kVqQJUu-%QSKvcvsxa&qpa zr7b{Z%6e~^xKTk)?jsO((}gW8cY-?5HHn~SfwiXN+Z(m=g=%mHa5&7)I-;f^KY==b zfZqVw#WSW;s@?kg?ELT0Q^6E)=vbnC?-878ZyDq6*I2sB-GQ2kAza?bky(yo`$qEv z;(C0@B2!ae#0N6_<^I}q1D`!g0$5K@e&WZj!ntC9{W>cD{YQ^jMMN4q0Q?I7+#Y4; zhsBM5Gh!NRER`QU4I-8fv%kJywisjzF%0Qx+l{?wt^PU=URBFi@+}H(PpgtV3$AC05PTm9U*Xx7`0nIsg>p4|!C3`sH1o|QmK43cy|22WXGYin!Mug$n>hbUw# z6k?9Dm)HqNab6JVVQ~)Tyqd`8yL_rc^lvh@&V>MmFy}aU@E>8}Kv;rmnws7UCFU%? zvKns5`o3M0*wHnb7_kNsD@0QdRGERH?59XO!6fuB0Chc1g!}LwMd0 z`Q?lsD^z}WZGTS8)QM1{&uVFvL1{c{-LV!Va4(MO)*U<0`khCcvxWN5Kiu5jFj%2K ziDyg+`tUb_xa>jV3_Iqk-Oqdtt`U&9@6yr^AT_?(sGZ};k7}N7pGkmZ(0arq)O&y5 zL!$VCfPesm50V|BQm{pYltHey^yG@!F2DUje>4m?Fu9MRv%~_*z*7!47j<>*z|>%C zc7stfF;=~K!y+N!T6xTeN#Y?06`*9q1(-%>J)aXBt!+O*2Lf@?1BDTLr+WVU{aSN| zIvT^}#W^q*I%2wHYbz;XH$g~AiO7~!RT0Gyye2|CDJ<6H;>GgKu}1rl=;{=~J$i0u z>de` z{MSC)Bb+aFc+K1qYXbLNYNGx{zK~(zJ6Ue{fE2E|~RCrKO%=X9foc4>7F_S-DpbmhjOd z_4IXX*Irv*bb{O9P=wC;^KwwaSFKuAo{k4VgJ$o#0|22=&uP~bEDCjPZG@PD+y-;6 z1aTd~C{H}^jEUrCitb##eA!>$Q*xSCd{WNBKjbo?)BeejkMtdnosbm$AOj-FA4*?=L#+q2XzGt?($7Fp+JGgX zAT5uvk3-#^qq~1_lTkv$h>`|Mp zjagY)u*QROy%`ut)8F5Z2YB-IX#redCLb0n|EVi4niRDBekj6i{*v2d6tlMzIzgZI z#U5dJd?b^9wEg&j)p=f=F5Kqm0UO9M@PDwVLmB?bE;+Xe$-CjO8%t4_nESFgwrn5H zBGdv{E*{mIvqGuC@>BEbE1`o${eNfwngl(iaLeDKp>VwxGB`SUqTNH|1GohD_H2)4 zEH8=nZg4ZCG1k*Neg6E9pi%?4N+aBtoq%$KgsqqW5*afJ>~L&}M_w3&N93}{pGq@kndC&&5#MDW^-w#zqS5D3a zJYc;aZ>@p(i5MP12*9{#3{eSe#2MdHbsnsqMU&&8RL1(Ed^oj+xj5atJPSixbt2 z`RC$1g?9+>kmTlK(OZ3)@%n}LTjd`etVg6aQ}V}@PTAbWavzB zAbS}Le=aeT^&$%lwq#AfSk>3}9C(;f%zhNtR|B9Kn_ZccT=Cq%>{4UY4Db${~}y!D{T>A>UIe;{#QSzS2fb zXmFmtdGi3LhTq2(F5}8bN%zWWNVe$kzwG4QujCMMQjyCt;DFp zM?*eJYHAr!ojwxNd$}~?KN7_Af|MVrjgUqg_G#H6J474QlD=)keZ|?dY2|CQA{efH zf`U{VHf-RM|g0vD%HTLc98Sk8tLj%gB)MH0g*v+5`{GV@9!(;nwWNTxVev z_r2aSK-Zt~^;}$D@chUL{FyQ_dI%!j2p1k~&yPd}1Y*4f1rd%9xD7o)aU;K>dVk-3 zT?*D{Q`Fh-+dD1Ewg;U?`c~72$(T$R@a9hLBGg5%`!YK*=Nu~EgK;5iFwUngUE)B0 z140zZj7TcPyT0H|%ybabGBRi|7yyU>rI_XL;d2WAm>mS8idY~%3j2cwWkmZ2Ls)fh z8+|@bBiGht&MhIdG2|!Hyunfz^l%Af8 z$L6}I^qq$e!=FOPNwVh1b4%q5@INq!J3c`NN=$}7-Th#a-}%SK6C5wSR}(`Ryg8$* zQSBp_2F*Yy>ottAeQj)fP-|XVqUibRI^f~UwLI^nW)+t zR5^ucWKpfK4X%37$sp}O3o5;wk3Ita*FL)s^7JD&-XO=#j&&X~$YX$nVd=U5PNo$6 z(Zr!8Wae6^Wb6j8QlRQb81n&(g9?XD;UDZ3!u|6|2&M2QX!OIGo!d#cO-^>fC;q9i zagJ-G+C;z_T^148?>xdx0R%|&G%0Wf6FUsHR#?lEFA+Atos5j$;B?ivUG^_w3hN)J z`BMW8TvZd^GW+2b`vq$3fT-xa;?M}J@gm@QSES9&U;7#^WVkN~ljq5ITY7cC6K$ib ztLvfj$u|jaR0=l$Nh0mDCBm6Q>CJ4WIRhN2v60pw4JzUSolsvB5Rxf%wv7opE}&i0yhStC1vsR>^BWDZHq;KLIs1PD7G$ zPuN>(3{-aL5Q9Up20CnF7*?4NYVgDS3p`6XE6WRN_S*L;1(AHBeAlivx3n}SNvSnE zkbs8vmE{>s{SXrr+@#XbwSlsh6^y5*r@sPRC@EE%Fn#jhj}C+fCUBzS#WUWcRFgq3 z=R7@l0rL(}pga+d7$CwbbvEQLALi0b1h^<~y0Dog@hlJ~OcOwtCmSyc1e2Z+h6)N~ z>1c-nA{OvdV&hJs+qXtCJ>vlgUE-QK9IS6NxKnd+x53j~AZ{_*37 zAkN~JbHZfY0O`X@)S}q5p<<{vOU^OyemV z8STT3smC~w;VHQH(Z{3hiq6Oggetm=iRrO+LQFz}clEJ_typ?b&ka}+WJ)md1rU@F z;LyZm(;Fn_mw5#E;A`i=0FQRcP^miBc;(pP?q~a>B=%W-N6}n%pmfT)e8eb%Ui$`lhTcu zjLfC!W*AR`t{D(8fyy4Qo%WE%z~w2B=IDB+vMS?o(fUpN+dhY#V=2+ZF&}Z85&Qb} zE7T@K_|M_F(Rci{jz>2WK0YRxLxoWE0*ancs;Q%rqJDuf;E0}r*1uo&@ij2xWB_w{ zsC^kumhFUBfZYPep)-;52O55N_mzf-kR!B^sbN@Q!>yCyFEX!&EP~{BOVQPKdA3xN zxFUNaoHIxA7G7h#7CB47CmeF}&!0a@fMVb-HZwDb7-)e8A%KA2=)}-b1wi@+&<;8bD?pr%7zxY7jyeJL z&Y_+Z5eJGwG}`5eg^~P7@_l5C58^9$3wVVvQ1Tu_e#9?;o|}wYO3v5%VCkQyr&FV` zCqoV?rd|TioHn;tyD!_4NeC3qQt0eNFNaks3h@e(gP8IKtHq_kz7vcN?9>?@sQ+P= zQ?y-BnoYiV+pN9{BP^#~)xc#H5 zr0Ael6x-E^)KL5Pwcf*5b?d(O-KhIMcv|Vv1CEC=d+XLb+nB!1{uJx#ug=VdhD}Qz zo-+y`hxu;zPKZw&9H|t`pIE(v&+Lmx{`bf=&z?Oa^JQ3t)ioJb21K~w;Tb+-`VG(u z7TqZI9^E+H8Il(uWT1;~l78+rJG;R%OK}YYWuHGAetjihe)T@QZ=lMM3Rca|cKXzs z3vJ!YcRXttrb4Wte|aoKa{J*Hd5AP1fx2PgErAsfXlK{%-9_jYAbVm)XRW2BCETMT z&eMm`I=}}@3`dCGrUMmVExoa5Xw!x|^t0``;fh36ImFHV=JjjC&reu}dUh?LQN+(+ zx=az8CF)5IPWGd{{4WdJA0p&1Bbk^xE->0{-oD9{4^{{0(=H_LoH z76DpPQZm3q5$@+#2s59GvhtS$%))Mqj%=qxzP-4cfVly084q-XzCm+S4F=W@4j9^l zPly_Wvg|NlBc7i>e@=l>iEgtt5TwvSev+I6o4otdfWaeXN&Uv64j`gOOcL7iC($vI z2_a0Z!DP`3cIW~M&QOOKxI{Q=t^}G}UA@|a5^|9Y`Q)JYHT?Ga?2vZx^l)ojCH+G< z=HlvogMvO2khWd^8Kw`AAIbOviXu)alG-hqs0&yU7)R;MT~ENQ_5Era>~3TdS;1(V zcKd5ME`=ZfxS)FFjFr%r&%uC03M04*E}sUAw63l$%pgJ&U&YSsswIV(vtp2 zz7V)bXW$Kyc>QB@g&9CcUFb>0p#R4FWF@GR`Z z$tU(^EgfEWCJT^78o9uoki(XgmT~ z$=w3z@xhY>&hVhsJdQDOLvR7 zFIgJsQF4BBxA78n2UY_3bJu8dg(!y|Ex>iqoB$fp!=Q&T)&K`jP(Njrl_pK8m*BvL z!~P^JMa-}v!{#Io13H6<%^lPMgmFMuX}Ck%8&*3|RdSKXT(8;Nv!VZiYv$fo+S}35 z2jDH@;^M-q2~Pf<@kb|mW9oM?#F=-=$sgO>4c<^F$je^x2`^7TS5EQ;LI&CiHhon>elrYMW$=<-GB^K-fqeMs zpluM95)y@hfe&6dfJT#e<}t;JKp-E(Nq+QbD=riuatw7E7e&uRD|m4$J_*?q!UWvy z$1S&Xpyh-^=$5LreXiBX)N@=@BklQh3u)Ti+6mLo-fpCnx)~6#2S)6o;$mW5BCfFa zHr?gQ%yF;)fdavpG75I0UVw?p0YT5A>ky;Q-Wa!nr~moj!>?%46N^;h>Pc&%rskKT zc#orhYF^oxKl)2zK3);i)6=uvcCAwMkge;lDnq`50hSn{8M3$A*{XKp#43QO7=wH_ zrO+eZ7zJ)~nK+FCJqxA}1@#&0y*rtwzzh0@hI+-t4Ve1zUy=7pZ>wwXTVhzs@A@>>^(=3ad(9U7r59&6?us)*95`YcAGkQ3| zOJ7;nZ{7QRFg^fZbNB8#w980d=!~LSpTl@bJ_&^f7rh4eR`Pg&(-nt2@a zk4)Y&g=7Yx)Zm9`tVSHfOQZ3wG87BE2Lq-AR>+jIE8*V&T~Vi0k4eIehHRpWSvF|5 z=*3`IuKo7yBp4^yCNScurllnh+a%Hey0kMI8tYRv3NBu}2-_8WhJB;CO)V{t^pi&H z^q*07d^fyur3$kiydvqCMS@eJFw?qo7AEs-KG6vf?$&w`TAli%1Ie6tfbn{d6Y>Yq zBI`}rMnE?Mwoks=DoSRdG1P)m5(BtH-q8WycLe%&LL^{C+*>EM@|ePi;DU=V8u3SO zNpgqjm%NWb>DM4O<0TJlMrr* zO!1(t>Huhqbr@+QUZf37jyGROdxnUKvz(+6r1M5oLFViT#`N%z&i?)E3-NV#bl8-I z8-#_2llBH}e5*Bv54986piO@LstV^I8QjA!R@+L%FMKke@MatH)9KiB**6bq`3x!G zKf|Rli~mBs2y+r-77}eVz%}d9qd|X1rjYg?(F)33VzE?wgfBe{&@SBWB8@p9)Kj&K zt3jUl;FEB9G;bT486STM%Pc!PdwhKSUOvN{s;!-UeV@@*Ve0mHQiGbBTGZurl87*P zafxOJjs&-QZwE7(NP#u({Q2|nT%g0@1s)~?FQg|$?n7c+wO7CdL!sMYI3R2ic*I>8G8A3#HidKaq?6s#Dmp#S)YLkVj< z8)h=l-}~|AFZyC;cj+OOdc!VhbX!D&Bk$Y*7zFU^92ls$vx&;__nTO_8$pPLkS?x$ zY1kp7=!-gPuQks2-pU zB$pQs=Bc<(`MxV2&X(8t2mbrlt_cy+C?tghRka%$9!R4K_ z7-4h$`nlz2nNQ(nq!o8eR^4Wb>22)nFy$s!>H zIvw+}L(~3uKK{kgoB%hnoor+@SOe z0bU4qfEQgrzq^Mr4g?F41RC54WH$h8#3w1EK*`|0an;qB-2qLCw7WR$kiSNoN+$Ql z6fss@xstH;Kn4b&@Uj4C`D7dnB@6xkO@YcB3=X4%ict=Kh&NzpXlP9SuJ?j%H=3~u zg&DS&=hrpUL2BT}J|^mA_cdqmQegDzA{aRrbdl&f$m_ot@WL>_0B8Yt#Rz`mG+IE^ zIb%${4Eai9_b~AZ8~312$H-omld@L%OGmJ+b?3tUe0`;m@?fB%xgwk07=Fw(1T0JZ z``J3~M|x-LxNf{6+iBe?Lk8`;e?VgrfgX=~2v#H*TV+sZn-6yv`5jP2su*a+FF1Y> z12L-J^)_Mx2eUzFaMb8skVS6#;rx|lXT0gBW_T8Cp(E};DKmFS+bD?d!fNEx-=lNk z7_(}3neZMTL&R31HOd~^Q4$9ddrqA>$fv}hAa%h{VA)*9mXscFJ^0n1ZDEr2%wZ77TM zh{JVwX<-Hp(L?A0c=1Fft}lYYXaf7d>ymL4{2@#hqyXS>69)FU<=qAVHWA3EWJiOO z)Hhz>L3H5TyF#kL#%aD)%_j37zE7UiXj#r22^RSV!w4PeG@+OGd<7Z=th@Eyp^LmN zEIxjaFES<}DH}6s2wVG^xOxlnQMjt+Q{v*{Kw`c6@Zm$@Q85s~YdkJoyC55qxl;&VP=VJSLn87k>;z_xe&Ho7}WNxX14U@Va5 ze&PUnhOOf+H<}Sjvy{nMNhCk^Y1bKHG-rRDDx%jpi86%gYcd5whK`Axh4cr4lrS>> zFK%4{xM@tiL`8UOaG|7Gh2muNqk`z{`YCHeDP!O+S!Dy6N zG6|6zlLw<@yfKXt(>fFz>1L5pocQKanl=DUwp|sf68;6LT;n1=YRnVNe&Mwm*uMz* z2A@Zd$RsY#ryAaNfVYg)eDEHz+QxA72?)Vpp@@jevNHKMzb|Dc=w*LrwM-k5fuFTO z8sp`#H>24|>>EQ@Q&d>!QCV5ZG;>i(C(aL$78n36L#Ws*rUG*z&~;KM*1^HSNVR0C>U*7++6!Z*cuT=Z%HbV&i5zqQtRW`pU{EYZX~OFS z4G}?X1}pWN2Hg;`R4?+N>Q11=u%Dk|l5`_4iPW2)>z79fK)7K@BI2!sTfO}n)(C@xYI|H{G*H@gFeRZ zB<{=b`yTo$yzA!xh;k8X28Nca&-Kxaf@fmwWNmh9)yH{k|O9Y#b<}Ix)S+>1@7U+a)`^>U!KfIF*^>;5bViKKvM_D z%Sa0HDk}LVy6~J_y#jxag70hgv6-3P2ka4i4tph(aUt|fY)({P+uK)CNS?Tp)!5V| z;4*s+FA`9KoteDF1n~s&z3|n5g3asD&0Du#p0U;u=vCEsn=?g5g*__z#fuXh8M!q` z=w!-_yuk`oGL35@&PN5CNa8sin^*5U!A5F+V|ss~@ZR=P<#5sZU$Y=>cpC-m-BmVQ}ydH^U@i2_hFK!VC;gIGZPizJTxpbC~|v zSGY|1_CgGIbaoCE+s$%v#|%1WYrL*C|#JJ1@K$ zkT5lf{!zSM>oKYt;NO416iq(n4<6@@=A`FnDsYdH|n;=$TthrUBc1hH9?>u#9Z_6f-K*F zfa~>RsYB`Z{K#QwX*fLcc+i5{pU%Fg7Y7~0tHg*C6dB&(A%MJYUpj-4-PEx+^%g>O zRoe`lp+qv~9l;blMi;N)#gGm+(7W6%YufV16?2F3lRCO($XR5R?el&gA{QZ3AS-*N zcw~@a2jYqX?8G5qGf?rBZiP<7CMn76EfZC_n-iW-hz($PQN_>3)nm|_2^XP6g16@CS{y26e*-3=g`|QS`mG@IY?Ysad~n9mXrZv*i8t z3!@D`nV{k4=O>LDw^>0a@3b`4Ajay0;cA@WMSyr16Ed=sa3{cFL}c)5!DwSAi=`o~|ys%@_E2jr4lg>ptpi(HC zV-2Z9q>Pbo^m|?%zI*)s@Yu$DxNW_>`jKz4*1Q#Ha_lcPpV_6Nz0xC zVPVt2oA&R8Zll^ck75IDJ0$%Dp>xaK$lQ9|LItbx`To&%Hw5>mM7@J+CUv%(64TYuj%$!4Gkdzm%MSC4~*&(*(305x}mA_`GnmPZNi%-VX&bl*`vwkbaHfz z@jr-bR6{WQ%Zs+z0`X&43? zLX2&glizv!rarPV%)HK)~RfR|C} z1r%bA6Fpt|zEd$*FSW`-w{PzP4@i@oXmPu9q~WN9xlnTKa4+oF3-{EENk{u<%Lp5` zZswTi^t`myz(nC$*{&+;l0(RHkRX^&Hdkk6`VBhN_LF1ln1&r!t@??{m2u65H3tJD z>N^>comSoT9=%_@1pWHuz_5Yujc@Xs!_U4Sq3@LN?kpP|kXoePkkSEIp&5}CC838#MhHOQtG6xS=!;OO zWVd{HiD*)9%@Q>=wXD}=R`S%K4~Q{*;5Os(9&xbbThBUib2ct(jYbI+L|~58LsTyy zP6wHp_ka#?XOPawzCL#BSSE)Br?v%LEi3DPq%;`GAyjiU4SGIRV7b|O2z``=ijRRo zTP4+2M9ZV<+C!&plC`$;*ocqqhnh8~qT>A3TQ8p{PbNRqHf8PXVH2D#E5qT?{EUGR zWL@mTNE5PAG~s#(d9-O6#aoVun+4yerKY+%*{T)><1q~rO*mRTm^MtwKSoDKzgh={ zdF$4Tz=HHA5rR=47s7tUkL zW3=*{f`9ty>ArWfPtMb}zQ$sdz`T?cQX2GuxrL$Yr>g3d*zu{AF1Ixd=i&HZ5H9I= zwYQe-#9r=i5{_QdF)&E2P;1C`ZS2{%@5>vN1JGE2j|@H&7sm4g?I=EE98TcKgyjV) zoxp>z?8uQe9o7^5= z+|o<|E%&+aTGMA*`%QHlGSF2g^LO>5#yGdu?ETJ7$^95tbs7-9!f;_(rE@~g+T&Hv zpZk~my|cZN#GVL=G@DX>l+FChsD>ujUE!ITKV){fUQ%AE)lqC}#C4Ie=>C#uE3E(~ zM_82auce2moxw#0_)@abnY!t9!;xHo0hV$`Kt&XTo~usLaC`>VXY_9TzaZB_W1#v)J_+K~7K zrw@9jtDX5~(|Z-#Md0~=|9bu&28$K-Dl^PO%wnf!aEwD|iyLC7K-+cV7B z+qF=-kRK-LyT$4|3vnHJ8HcZKTz$Xnd{WY|BOWl&P~s{XikhXi4~IrIiB)55AjFHr*zx{ZUTwN~U1GB8l&BvN#)-w!B%I z)%@zJltbgVaTM*k)@&sRv|ZjcJOZ5AMuI@U{{71a#CTb; zRNuSiihKrC(#z)qmdx z3^V9sYnT{EK(3&+Pee!q@KBThK^FBMhjlDUm5M9uu}hByqsmxjGTt=pHuGWZESaIJwneb zvD0=*1Ho7)-UeArq~8#Kba8X1&M3Xo9P2*Nd1g6Y@7O3Xr%Z<;B^r5IMTWO%fC17a z&++Le8Rjlcaf@wjRfz$CrSt{8gklm9v!+MK?zLT|Vk+xYsBH?hIn(ie^{Yl815E#W#4^}c+1}|w7sHk)_3mALY2eZ-U>0pG2t;M8p(*tYy8R;3 z#Be#{U>%*u;Pr?8iav0l+j=wG|Lp`lN_Xq9fvN%Ksw-ue zPjK>DT=FN(m$0?cK=2lz204eCUKD{y&_U*BFZ^+2N2v{tiXdg0H`|2))TH5JXCyI) z5r4dDbN{&3H~0+={XFRM&+1mRVL*ymO*K)whZ^>$8{g4K-Lg$2x*TvQaaTmgd*Qxo z!XRaNb^mXF}!{4|Orz9Lq#Jm`p{ieTVuRZlg`d7#@W$WxrEUO;>M-hFPK!D!S#vSPdJD z?B#75Jj({_-#b1qU-uN5!UD;0d0_~d zdmFNA1en0UG;hYEcHnkH2U%AZ(cTJ93AU9~>vdU;-4J-Ru6NWEY#e8KOD&WmXYV~V zG(!?|_nN%wL6@A9n;UC3vNn}YoaPW)^x0h_$xG638%rUgdk2+g40%Mz4fHNe2+C^I zW;^2JT{Arq+r!yGwMUFzEpKRfPaL4W*q0V%2bf|~F!|?>Q>zTm*EiDmt8e?x?3136 zk;pL$qT~|!Bby2;li0nfDJd@b!Tkm)@9-HgogY4RgJ1>VUuvsrvIggpm>#f!`X;Z{_h)ReW82S z*5AnQ>gTVv9AHL#Kt(d=9K87gkG8hxTb`?FnIz@>*?)7?0<-i zA%?)_Eie!LaoMzGm3OmIHDiYpMgr)IR3l@$pcb4`#s2ac+iUBAcG&8j%G2C;5BYj0 zTntRJ^o)c>?uKibVw&PnJB87Q#=U_<9K>Fvh<^|_@D z7u5+$>Q0)wrogML4Cx)%muL@4)PGIeZ9CGiOMGUSDM8^fLbYXkhKxugmJ}iHZ;TZZ z>L$N9?toUQfN50ZOd@Qhs7tQ5|BYV5<}fr^qQp`wjcTo$)I41XgBl?>51uSRu&>sP)cq zbk+r!RrHx6JTlv%>{yxqlVxsgs`CeVY$s)^CZ->P98QCQz!Pt~LPEAEreRkgWcLMp zc;5)IA?5S6-}$w}b-2jjtKz+`yM5*fp|anCDxKu?~hJRh(g#wOUJ`kOeSPQoTW6=piqQQrdtL^Bk^44#Qxl zlSrqr_F0R1j`Rz*HR4^gILvIh^zGkZqo^9rDBokMb7F00e~*HBK(7(sY%=0BgYM#lM8J~B*&!gC{7UqhdBujOcf(bu1xut zR!6>z4<}BEFD+&5U19mr9@HTFt`x}j=FOYskCas5Ne4cK3Y1ED`SK_6i|?QX>@)nE zVl-Jzz+0j(VPE0^1Z1FeTAFO5n2Dv4_V3D9c5^`s!0SbJ`GbV4OxHolV7|z}sKJdq zn+bleS57c*eVL*xXs|E>cg0uGNeD6^HQCxg}Jnhde(bdQ=DmGDY(}09puxVL&c_pRisoHVqok2e& z#RxP6{p|!-g9u0x@8O>F8Mii~kcOS62_|Bxw0@$)MMYeEwbd9n5n!tCuxC(0sJ)M> zs;1)02pRh8c;}wzEUB%O1^{reIiLl)f$oue3@5wBU~j8S)bu8M%^eOgxSzW22|YC8 z6CrO&DbAJ>$bMd|9;>I?>qzO!tcHtiNb5s`pv*n>!&<62i(x&7?O?GuRgMSU0&EdA z$}+U#5Dj|E@_TS50`jcjq@#>5wQ>g73d$dkO`k6ifEk(kGRQMXx~1UH7#^j@NXD!* zNPv@KIU!?Kl22K+mRq(c?)a2eeNWOw`qqqbWY#|9>AyT%7;}wM&%jwR&e5y+ojVN^ zFp@TL%)DPZ1I&4*mx-JxmrNBsO>P&==!3u()1?7TTHGTvAm!zbGGkR5Ij>kDp{e)_ zC98~`0P!vJa|v)e2xTIWq1T?zME#i31X$J z1WSt{lKP4v6<<8?EY>5)K1!h$x42X1ZZ}TM8eXlYqOuuuHvP+Qr9|=G`@x;5@n#gU zA-%&llE==AMfwv5CK<%LbP2Q8u8m6^jQ5+c^U5;J4+RAUE5r4QP=hi9@aihqfO{w@ ztqRwJSd~Tx0Xp(UE#D3dFPtdD6It~}ob$)`sf0465q(@=e~o{;UxB=!SUs`U5F{(X z4hV>PU!==gq}>8OXJfzYpr^oou??ppubSj;@g*#e$s`QygcSlmGbmm})6Uj!1c#S| zAqD?s()edbURb{)0YyQPLbJIpyvMT#+1bj!s2%4JL&qUV#7NR(WQG9NB0m`-4v&Ud zWeB7}Jf^j!OZ=oRoBaL3QA8a9_8?O6hKBFm1_nIGTqO<=PtVZd`&%nMyMNhJFZR^A zw48hsDTf0Grv6~fZ%t?MDzAs1dczUepS)1;?Qu7sVjIK z8Q}mcTC@LXRbi_FOCXpKT@oL4@}xy%(7dHfAB>AZ#j@S}i2lNNZTBG9tq4$_v9Q{S zqAM+;D0J7?T?S literal 26030 zcmd43cRZJW`#=2F)U?VTDbXS`n?m-;E<&h;5VBW8Mna{jBzt8QvI&u7Br79Z*(rP8 z&r{d+ecZp_@A3QZ{^NFi9-r%zc%SF_dL6IhIG*D;1J9@{?Ap$_okSw-Qc{%DB9S(i zkO`L{aw#H){*g< z|25f>fDN2S()4w{sFMFRF!-)!7uRL`K8tPeNqcJ3cDqZLUpPJRBXx zZhOo&aqRVtec}=&(w?<}rkAhz*_@S{Y#lAUAz)FrAocTR@5@Pvzg`z*$jSEq&sX$> zbx>gDfqnn;jr~@3s(v(7|NYW@Uv*LBzki^ja`K3;+Rn zGE;*E7s%ca){7tb&sWnpAA|aT{~#yV#rpq~zibM*YGcD5R^9X@+q%{2>d&7){nwU% zO3MdijDB;T$g%5AbFNECPQJIt=;vGKaf9KPu5NA&;>`S{r4V9C5@(+6_!{CVbyf=Q{DQeKRt3#O)I zJ9g}7YHI4~a_Rm!Kh>|Pt!+MVNIYS}bHbPM%9Sf8Wo2(yn&;%?&Wh`T-)Z;d z9YDl2rs0Fz^BlQezI>U1t$7mp?bhJW_8)J~z1!zoS`kPS%yRcbexuvO@cI_<-@0{c z1O9Hy&6_uQg@iudAlvx+S4?PMz0axutLN`iV_gMwGUTL_1_q4rYA?3jks-6Tw%*Am z#a!SrDK97IE9lTSoDjK%)YRO}&cm}ij8pAaL4o+2H*YBS?D2IPZAp6k@`~7pf#wu_ zKF1-|w(s9ReE-g%Au+Y-ZcxyJ=g$KZ6AuyJEHB?!FY$Nh=g*(pJ*E9BY(M2`SJ%{( ze|av@+tWj`u&|Jmm+!;sGOjrESMDmDZdCdG_wVhzJW*yA7QRcL_b^Mip0Ozy8L@hE zHgf|R8Cgb7j$c?94fZX=@uzxIYwN}aX6{Fi9{C2+aFx~7?QUslp_lfSpr)q2{z|1e z@o2NRZFh07ukWT|du?s)+w~DVwQ3?GJw31a+*PxmJ$ttA=+T!lHQ0o@ z6fR$mH(u#}*)nV4?k>jaHb5mJF0L|q_wL3M`xYPNaRZq*1e z-SP04qoxa@{S}Q7QxYyTw-C?mx(*I+N&BK>V&a^-y_Zt)Ey}}(56h6VPZZ4=XX5TP zjf}Wk(u|Ilm6xB^)qR|Mt@qZoYu6~1Wh2ymw^e$gyL`nnG}9 zdB{$_F)lLbEOgV}LrZ&?LTdgb9wUG_fo-_fW)h#*;&uDJifx+4#yrK#e^kg$sy^pG zjdL0_FmO>*Pmfb-VStA02`DU- zprWBUKnl3Ml_Ggun1e&Et*tHK!2tzjK8}M21ABTdnA+O%>}C;*ojI?kr2Z95t*l0w^o@p^#qAs0`_QYW45mzpn+ae0e2l_zVZ7u~92~Ciz9Uq{nPx zDx1i)*Q9;ks|yy{Gg4AgW!>E-=4&>YY_jJ1U!5ixtB3%|o(YwleMZ`c2aI!a9Qr~< zsu-$$(VUZ-oJ{@d)vL14pOps&2bHEm8HJSlU00UoTElm4-S;pothpsp%FBR6$yvM+}lAiu#_UBx;Pr8$j zUyhQ~az%w)QHVy~wFT+fLST0#oVuQM_)_uKVNM2eJ6pJUUp zg+!dn_8eMTT5QPvBS();^@mDtAWf94d85GZ`8!lwo@rhc+jwYrc$l1mqE)0gIC$3< z3f4C{JckaEW7QOulup^&+P<6WR#T~ukWyAwzF=*=gCyd;Eb_|pkJ554g->Zhq<6b1 zUm_8KLgPMmc6OvIvo3j}+{5*~<^I-P`YP=gEiD5xGI(!eg;)n1@}^f7{{GA~`?#Gb zek+SJ<<{v%epy*ry8{uUEMhgH3-j~W6?e*Y)z(Fb^O=@y8fJXW_axGqwWfYJ-Ck6Y ziHYeRi#V-92=mvriCW?AMsQVEXYLDwPsvDo_wF?a#e<~J zz6%W8HsB!oCN;IWrDpKYWxEXq?;@X6rj2(B#hp1M*tcQd$1_Go!3fr~1_ns9>ir8? zF49EjGFd4y#qYtVCVhVfYlzh!8y~k{TbWY{tc_=8X3k2RY)+xOA@0;*7!&uij*>63TYl z+ejW!)9suZ+-u53aQe? znNehvU9s`;`}gf5ef|1X#B-jPG*f*4GpJiX}$E? zPSUdzHsLKw(z;8TnVAnbDfY@Jrkj*TY#K!&=EeTv1N-pV&xGw*jopV29y7@LmG;x9 zHB%S$vB@~W*k{FwRGO@t(la=C>C8?SYYoTDUmXf+M850q>-+spL)vn>M2g3_kjSTf zsQGRAPDlUz{X6wlfvq=K_(y}{V)5cgik3K2!P@E)yYI;>R}$M7 zN+8~VxJ z?3>~>B12rdz4ZGRgl#(;7)z2Vbd|mgT~YB)&YH_Rdi1F5#fuzP*4CLGbG9O)qS<18 zL+vra2#Hti(b6}cyidx?(ivUdDJi9C{rvg!VNX>a#R!<2n6R zL2IY1|L%{iCO*O8;f#gzeL<-r<|R8QD5@SFRO$Kki=2**Zh73!r`$YL(hpryFCxvx zVJ9gdG_>mTX$jSXeA?py zjn}+#r==I76Fb+GlbW8cAS1J(v#V>WY{&6LNxgIDzOzr|=vV}-MESFpm8`AUjeUQ& z_1)##hb{X0`u(LhH)gzj`|xwKh=@o}Tc$ZVIr)v}&lxz?!hQM7D@!XYw|LBseNZ`G z6q_@Nh(SqDdi+_$acC#fGn)Dh6cnKal@>NO#QF?d`1trNcdxCmy>cH(a+Y+NnVESe zWKG-H*qGrmX`IdUjX~h@1!Sy%yLb6Twit~+7q)vby)6OW%hJ#g^g zW>lmudv%pStW-S64^q^78TBOikrRn@?;tGUc-uFUs+B4teJn zD;|w}JC6vtUo)7InRyf4D1mM8V*&yK*qAaD!9~HKY>;&$oP`2(xd3DUg?z^W=XpL=e9hkA)-9NBYA z-uaN}>FcRgtqJGPS+CN`%ggWQ=hrg#QdA@_UR|_)DekiSfI`UCuf@nev6GW}-f2Z< zXZVN^N?U$eyhcar8r&x-DfzX;$0yh$qNPDMEsg7?MPrjtx&+!z_W+b=^R?BLvl$o2 z_H5rQAHp2?<%??J@}HV(E-v~lqg14G5V-AnpC_O8AU3G_xui8LzC z)KnE4(BU>3&MRYvQD-h7#9jM?g(;bt?=>~)NX#^8^9l=BA>ya++I_muuBfV7F*Dlw z;PK--HBXP5kF{lvdr#2voDY~RSz{$mLRO3HR)ZFw{Pu6mvP)>rPWvQh#j4?~yRI($ z%mgOd$takpTb0m~=QK)-CcqwH(V6e0vdE!v?i>S(qWx$K_u=Q~QONGz-L9jj7oD7} ztbFY0N#5%v`2!V&k*j~_QbdGbVz zP5+?BO>v*CxXo5;-*B7{H&qod=YJ=>Es_HN(&rM5P1u^MR> zkl+R)5U|}89SME{2eY)SYy%2cV-BAE+V$&?sHdCW>FVfQAoe)t>hn6A_L${P^t)3Z z=}a!5PLOV(Hkz$2FS!1S@)vy7eLnB)%a_b(NVASG7~@HOmiyV-a%`C1zJ1$7-FC9- zain!U{XHY^3ERPa9y24&@zvLC21jm8_`FgQU+*>AA0P&RtakOx&{`=6-k_k5`Yl+g0FF-qppTq@?8fw^o=)g1~$`2%N}gwrO^< zJN?N3q9>AwRdZY+*L~&)PCIdw0B@)?BxfGUOMqNBTjDKA#3GPNG=invpQ1`bdd2r^ zjKaoT0Za9MCMi@hiPic3`Nh$6G7>^o>Xq9N!%li$5)#hY_qHtPTP~a_sSg)YN$yP* zTdR4(UEUBSo6YLcTXu)|bkc>1&O98xH2Dslnf6`d(njN!6B4NZ+`~SyzrIDbn~?-- zKK|;62MAF1O3*nn1(L+^QuHC0 zesMH@Z5*(P^>Ui~tJ=QK^fiTKH7}mf!3oT6Ia^y>+dLoeGAJmh?m@0~%Nxz5bFFs@Gh3Lb zm%8rJ^Og1VZ*<}0^qef3ixq3l_x1Iqml$y`y+PJkbt+p^Ej%U&`IG1^Q$raXCaxDz zeS7$~xsjgKHJ;bu){qct(7xuEYv^-=PF8y{>o6y$e9WZx;xO0Bt?_7`Z6jEaJ#=&` zD&L%3I);#^4eVa(>TJ7+5+@=iX5~5A({rP=wDj`(uQ?RDfk6{*ECXrs&ZA93C7bHG zP0^>}vq;10+Cyd;&EHsyQ+woQ-^fUNT9wx0F3p40cA!(%V+$+&=*bfhF&p07bw7D1 z^4_*f22BU(pEw&`JKkaUBE-p4>V6`O=7Q-!Fm2tsH8oUJL`2b!QnL!J#a2%*FTN`c zul2_L2Y+UnFXVL(AK7|NM<@23T!_E_*0=B8HMf9g>}}7sZe%K7v{HIrndbURiDsQj zjW~;oZP>W+L1bk53C(ktFLUx3<#PmoKDdA6YB*%SXpbUzIjB>xVv&$zGTws@#o>;(NR%kpaY4r$Ljuz{j8zk`_asqg#q*)Pag>? zDJtHV+VvOgUXJzEhzMk2A~TB(*+kjr?Xyv_v^)%~7#oSgd~Lj4D7fnSN>@jFd-B0% z78VvzT(4(^)2t(M8aKrn$;xhYp8OGv+F#hbWVRqWe%5=!rTz0M;{xYh$BU+^k>Rt| z>AkzX=6aC;D*%xLL>-6rNlUY-Jmoo^Zd`OmSNBrGl*eZ`PVP-;9GwhMc{ki3GDfcR zcsLrP9Kh9FdMVG`YYq<7PkD^^odd4Zp?8u=(qR~v{Ng7e`5p6J_16M_;^y;DF zm0827YOcrt0=6GBE<7u-H1@6!2V$>wyed_Ud@wcm!?JJRv_ayKlMLu^^1c?h*ir4- z!%-Q+auf~rN3@S0P1Y9mGp~Nz2xN z8r7RZv!q=JSkpJtYC^Yzj%N?SeSC{oqv@{_MA-XdwudW9*gJmB-o(AgH z0Hb-H;2FNW6xAjk&8+(2!M+HWA5=`jwtEb7u2KQ1&~a(J+5>0-cIZo6Ld@x`qAgXG zmB}_SI!ABWd zDh8^dc}Ja_zPqIW~-$k|-yQ{oowU&&6@neEsN2#HX zii&ES1t4i;e3#QY@yg+ql3Jl^z=_2-hX@rU2mtB=xEZJe^6KilLF3}PHvuyyLF@`R zyT;1)Gu9tre$Xa5EWqD}XNr-(u0O2dC4c4T(9nJ^E``N&`j!vkV^Uu*xpiH)cXHBQ z^4;O&B`PZVdwN>%mncBaGf~IOFCHHoxq@hUbuzM5!bauPDYB8#QK8wNfM6696shUf z;B**6aX_5DH=ax{{IgwZZP{_)=TGZLr$&x}__+u8fAP{K2Jt=nN5XT~MFGI5%}p&W z(TR!Vs7y#4a`;pPZIV--eZSwd*SEJDIXOA6IXi=Z4y%l|DSG!#;AKPv_WWLx!-#sm zJAYnEl}5ghpy2D+SUGpuGp$;n!Db!5wU+@@xOZL6&&|)bdgEwsZ#gG6wfJXluIhJh z`4qGX+(iVic(h)7qiFXCLH6$-Awwc64fqcSom@7%fbsisC23sv`0^ftK01JcqaF{)2dvJsOFDf-9p z%+dPk#sC`rVEWK{Bh|8dO`@W3b8fda@D8Erb2eUFE>1n4N1a|YYp}FcHg@xW#4<5r zJ6^vgVH=67cza6$WS%*5<_4Nq?4`;mp0)XvH54M?zTDj0(%RZxX=!QnV%HNN<^F0; zc{=Tivkx&M#hbVgoGd4rqLLIJx7+I!xJ1ja^zw0aqKrvQV5$g&r0XK zwwyyAGd`+uZNH0)%k)U|4r62EYmSb$wUQncw|8{B*AFw~=H%Rh9jM%Wd%BcgtLgiH z1V72T+84qv)NB#X#Jz9cyxFS$U3T^ztt2_(W_o*XHZ+_$ocCJ!YC(Q}S#52qHrHMV zYoq9N{T8r&4P7hDIg&KPUR(Kor6l@-rPJql>k))lRkT1*NwVaZ4FXT?4+(q z$2;|-R8*RVP?;JNLZ`pFPTY-O6982dihZbcr0s}a@jPlfHgjI2^58eg+0T=+Z-ML&R*S5 z^?-35bOd}#gq(LjEbR8!*wynT-YiH8x!x;cSe6I)rgdvtk{at}P!B(fJj%a)qrt~L zlW==G?S*xZ<>v%&lfSwbPdwKi)$ydNXGYZ^vlHEEH8T^A4Flt&Ye5=sk-`u zUCD|c(EL8!_>ubkVbwho6T6QeKMpmf)ceJ+BAsrE6DR`Io11l>lG=LkboC0Pkz~_og;^N|)Hf`Fs zZ{O?h?rb>lb`%iWDnM{=at9A&9E?Sg%b|~#18-4NyQY92ZyV> zT&ur)!Lf@Mj5g#9Bg8_l#pzS{Jw9lvN%sP^k_HrBg4+JH564kCjvCU~&l65gPFiIW zz;IxA3A6^#dLIf{ZmvkS@X+}9cw9wpXefoJr)O;BWZqBKLwoLqSg}$uQ2pB=$wwmx zJ}1XbDLnr6?Hi$y*`zGGzD-X*j#j2w>eblfB!!`&;ei}qf;eFW`blcZ<$)s6=*f|6 z{Stt`zcbIVE!&!oUqB%4qFcX~joQ;P>3@%1D!%keaiwy1T{Y%S3lfx^VgO z7UZYlExh~pZ-5dJW=kq6DiTe8fh*)QqiYy;mwy4a3@dHPLZ9KY=1s`T&}Q35pQJol zU0DJiN;~jEUXHtB-N~Ryr+fbVJ#hVmZra$2=1@sUNY_b_o12?h?$;WTQom*e*T?Yg{lu>`7jp+q>#NIDN!r(DpR8f(&{o;YN+llLhIW-DY%XC|=L~ zV|_h^*V63i67Q98?l~DbmZ0iuIQh})$B^Tdol|I=>xJ!pY`SLAq)p_l_jV?mwr)Le z(ZV9W-$?Gbg7Kv?AZNo|CDeAX_Zeo~%v!td&D%kA3I}B(7yv2v}j& zEug91l(|ky@8^G8Ij9O%#Q*Ql`hExtxvo?D!6=b+GUOrtHlsojR0~kuQ+fVf%p#P; z;kMmO9Ey4~aM@59aWmFlg_hO%jz8;60n6s+`$Gx-hjio4oz0Jw4+4Bp(bET@Ra0(t zo$GX@kSCos_AimTeB(&;-FlU83H)hVQ@R> zSwZFSi-;14|D_Qxq7g>QP8_->a3a(=aLP4}f2^u9ANumVa(7I#E0dbs_+c)tt#mx+ zOFstD#ib`t>e9UKXluK|UC@|rA`KRsK5w&JL<{Y|6SnhpN^CV+M9p*Ow)Lo&846h` zbU=Z_^{MmIP78n`OO zOJh`HrKkV&@Mu%lzjN7T0!2bgTibr3Q#5;E4#{<&FJj@2pbRJE1ZCHyrKR%r_V%{k zb@NcRDEp=~+w zn(UfIG`nt@I4>_H9!_i5>Adr{1HX{MaPs`Y!X$CJ^{1nsA(8IL+{A`kaa4PGdd?3k zjeJ=Tz38-r`1mcvCRc}XHS;v2pU>OC?t9%nE&Pz8(@iNr38?+_;+{kaj^UQktBzg+a2-nnEMvndaoVpZ574bQ^b^D<&48x; z$!RyzF;vtK!`~8!>m_|r0!IW+;VXhO+t=mVHC}AJXd{vJ0upJcWqP28KsUITMc91k zjvLDv8L>c#BJKt%r77+YtWssqhudGVow&I!y7jBHoohdXC)2N zm$-@cI}=2`2Lyv8A7xVFO}=Z_W9lF9Gcj-bcWO2Qa`iPOX#>|(CTS;J1Gpo6J1B&} zZjGO&KHT2g4~6U_wgZ+W)3J;sYg5AI6VOhS@oRqulsLG!R1OrQ7uim_W^exiPew&e zy`OvImYon-o`gcTXYtZ;0@ZtthJ%E6G&+{l?ahpaKf*FOj*P#d4{hZjp0QYC{ zbKG3&FHfRTAeEMv%cgD-oiubmww`-_flNYjyAS0pcoyVmWvbzO6hS{&B8Fr9W&L&% z&kjUvGnTP_Faomjy;t%LZY={kA3AjC2Bhf4xyj=PtNeGf++~;bgXmP*#;(1z-rFW7 ze6FrOrKLsfy)vT@^@;uP;cW*G9)ysf0QZ*PPKH}J3OgD2H=R0lDg)Wa`O|uikV}oW z-UL^Oe@RJ6JNX}o^mUF+Me9%9L<6f0`@w^!$D=2g7ygnaJTG4R@{EsO(mhM?$gMy- zVq5l)97Zy@+g}yh5AE;cRDab}hh0e&whFtir6qCf*iJCQKRp$VnAW4T3l!=u^$4+p z!Sk!2D`0%P>F2ivy`yPchA9{t5kCsHkSJMy2Y!b2kB^oId_~^l+{K}+sCd%Bfgi1# z;7DjFgTNLLXjt~?a^je2>VuT>2P-nXpPQYX45$ogSN7VqjO!0hIFFqL4M8t{{@*9^ zB!FTCN%4?+00sg=`)vB0k|<@*L{EK*WS^1+OEK$Dvfe0qR@8`sLNDwtZ4B9^I%{~wx@2 z>uZeGcs{l%sZLlrTw#3=FPM=a&<3L1?IpoIuAV$b$F zndR%?YXAO?3#dlj-E82v$Vi}b5Ag9(1qKEZH{I9QcLqg0PAgCvwvxi{iR8%a5N8sAPCn_iar9XbKB0d#VRd*80ggYrmrfln_M#F@lVsgBGy<#JU z#Eq@2uB6h4Q(Ew;X<0r#sPZJSiwkDJ3)8>8lJD4It=lz)J{7W2X-!Q^YIx(pf6TW! zAk?+xdHdn$A*^d+TACkr9qysqt;Qa^%q#DGK;D`Uk^Xlrii_}5=^4Z!ae~;=I`)&Bhi=XW~f(WTWa!qxtkQG_>cc@j1{0^vuPv zRS@ge_+)&IBBg##pi6Q6{b4K7B?ea&udRAaPj<7#$B&ECTA?SiD%q;5t2^#qm}WNK zp4})qJRCEXAO2*z3#=Oz9bIeP11e1y&Zjj*pZn#7Fa=^8+3cjU@^-y+<6R003WS>a zOwf`Vq!ASi7C_|(BqdkUmR4XpA#go#@$9eGe+bEdT|j_lv^8BpM`sUyp3i&Pwc_JP zB6|>)kL}yHUqctO{(+JnC*0>IY{u>f2DIzAxrxH)MMhXwC}s9R8887;-!h(fFN0`=KN1@o+ZPy8u)U40vSK*%9&;0SC^tadC(Hq~$BpkHS02dz?7Cjy z_|L$HNl1UV^RlWcLUZ+p;A&=WZa>v``h1})6`R*I6~Wwt0b0*~F#$nAYIkCp<>&$x5&D1!U{G#3u`HV<%vtl`)rwh%X8oq?p(;PZbQakO@ZYt89}6 zJ~lSr@%6ocb30$Mwj`|@DOJ>^vIltTvX#|cEQx7TqUQWk_gVaSn^}Sm5bm_=pX%!gsh{`yuQNpdiAW>%0;GBX zr~uE|?-t-{_-RlT407}GOc(wPe){z3BxrMV?3r$VFJEoX+D2Rw-W(B&Te}xuiL-Aa ztkNhEpu()i`~$D;?{|Z|eIND#cq!=#X4e#eV5-xxo>&(!h~-Dq3vYqbAZHiMNli^X z4ezsztSn)cJs{UHwH|F&v2Wi}6BaQ-0VC@5$GdxpK9taUK``~g+;9>`9GLquWg#^+ z;Us3jNQx&aYiinqUamAIRO+tu+Cn{Xu;TI`lkNk}SbmE?6?LYxy`7QJjVHPakPF$> zjOSpR*hm@~8KI=3^H&Pv`~aOAmRR!b+sm+0O`pXDBfd-_DS`0jg!tJrHg=CNS3%YS z<0FU6KztK~qQxt>EkJKJ#cZ->t#h4mv9VB%x?j6jvK&5soC4Uy_xA0LMAl(oNOBsO z3T6`i-KcW>1MofUcK~1&j}B{J``vRYdmJ8#b(`R(O~lQjcY`yh3@|+ItF0QBgsQS~ z8I&VaI2C{*?y*U;Zrir4QOZeeF{!;lPN5 z9n?P0m6=w9IlxCQsnvONKC~``yBWX)y@~%b{!4eEy%zzG->vJn?y$Rh_066jt)#2E zOJa>ElbcDIaNGtvx}yRXNJ%51j*HqAPRVbT^CFDmSRHC02*%Ly@9z`{x#`p3pA+J* zq)J@CRGGhkdm;PWP8*hVK66cOSUKS6QuKsH3yR~1LsLSRe_5BqD^c;j+q&{XtLv8{4}8l0^t(^ znJ+33{fVp3+H(Mhk=PY*>;sJooC!npgIBM3;2Pw)$p5@8*FGj|oRFc=9ufDSn3zcE z=H}K|R0_z|Jj(&x{ug(7+ShKs%7*hE*FTymvI+fA=wI!AZx;!AwDFgZS9X?kRWK7564fCXUbxW^ zbK>*^90}&C5!!0hnEb>|KYgQ%Sd?XRD1a*X!}Q#@-8;KxY&F$vc!Kk^0TSryT(VeUaWs`&fOJr$Wf}AHIBf z?ELxj75Jd$7887o-09QnK72d7?jd28#pNGHc@C#xW|q-s19UYTX-Z0M_m`St6nFxO z=mCBkO(Qoc;HioC_h0smi|yA?c!{Y1W3QQJJ(kupT?ZKm3r!FjXL3?BsJy<^_dlqy zNtL@p0}@p%Yn`T`Xdfd500<_h9zS%55~QC&7?hx1#--kgRyZBD1`ZvgA3`r51s=;1am5054)0+KWg5zuOD_)r{DK==2?DknJ zYFS}u=WL#$p`n=(E557BNdvmHxgbJL&PL6t+xioZ&;CKh{N$mBy~n~DE2kqCBmq_- zhE!^6NZ!#mcH0bv0vOddGLlU%)!l%;?2#?jB#|Np8uOwzjELI zY1P*a9*_S&tojjFMjmQ%?&x8Hsae$0ym0k@Uooh zF9SfrBz>t^nd=S(?P~U;&`rd7?3oVZL6iw1V5%@L@<3TPk+8Bu#{g9M1h-8AcY9Wr z^o*vK)&|h`q*4N*BPI1w_{?vVTABW~JLuHM`%+eKEZ0&dI>MKhtkhK&9p``d8q766 zJaNvzVE?gWUtafvhR0F+GZB0MfR~{)AzE(Fbu`Du#jzhaurWnHUC+=CObi&%{^LFiJAQcnRYS*Q)Sm~Uf}o+- zja%T>SoTb@Ocws#4OJ@x=KSC)LZnvLYufDQ;ZY7TtRED0;6;^;-gMXf`7tfXH&>tqOu6FZKW zfOG5)@>|O(j%48kUEw~a6IVBX;P0qFftbR~8za}ebJ>Gl8`bXT-MVWR zFgcXqBn{I@80ReS#S)`hq;w#JC_ZX((okK*4gl*2aTnzSeN0QRL;Wt@NKsl}pMF5* zF*$pN~@INGCbNdIPy$l|marz~4gW1(z*&*M3Y$HoLB(Im&va z-8`uau5p6V+;Q&g_)5W9Jv~26JwZ`7o15r@LCDH!r{50&#&(7AB<@9;D{e2YuS5)s zts+J5^S#o{#DnR!LFlAVTILrQF^I$l2u%=%AT1z1-o#iMk$>PfuS9OYm*@DCII5rq zNjFX?`C1oL>2pJqAzEh`oW;f%L#ltDh@bp2iSdIwcn0s~DFwo_jxudE%i`cQ*YT`a zzzA}8AFTMLl5?FK;dCW1&*Jp32w2`MHILf(VhqixKI1(#s<;n+Yr?-wDRTkf%PJIJ zEpx(Cntwg1&N1Fj0<44PlI%-hW759;`(h<0y|n3kbFYqM{5WN*0z~?3<9o?=hoS%6@uSJDxOObpEa~C{My!-_qRL zdH`Gw#vWXI@6h#NM(^O9n8)E;vjJWpuR$YzPD;@V{$;y(+1trUXg9M62@X-qo_pxU zVSp!f9^NGY)J8xljM9x>xbYu1eX98XnCYYSA2uSKQ<>x72ZXKao%5Q}oAmT5Op_3( z0))qINHI@YU+|f4!KlTLX!`5f38JV~9#%oCI+jW=2r=d1!|1sw==fyIt1ilNP1=?P zRdh11^Ya-of&>;olBgaSL`jtGGvzM~W|45ElwO&p!BCYS5HU0Mkf1CGB@PoYrnTWh zU|tC0e9qPH8z9Ck|1PH>a2&pPJ!Y>GRky$Y>f(fc9N0%<NtuIC#UMO z8$h7v+Ii5Up@z%CHY&CF>i{uDgIFkocYz*dEzQkJON+#S zgLTU>gaH})WJ3OjDbxR{vAfdf@$2xR5QHTR9}zzt5st7Hlw$$|a>0?*?hMn7#MQ|* zZu#YzRy+lt)h3XfxA6I3HDbj)G1qVk$d#y;?7q{Pg&4lvK!OqBI%~lJa8j~A#jVjn z$Ooq$O-fDuh~oSkJ;#SHUv{#2&qq~OMT$Qp@<7tawPbGv0N(stkmSp&tGB^1UkXy5 zFy-PS&0z9nJRmUWAd0ci2Ox97e?i8N0_@yM!CJu;>1h^A`zt}xjAGliQ#ina)Ypxw z!-cGS`ulHh-a&f-hZh|@A<40NjPVT&4ViW2J6Sop5#~068zn}+z$Ll-aN8? z9r_Oz9}4ANAZ8lb9TrhJZ{IMMRji!e2U4cLY=_tAS0ykJOrQa1B~+>?cJ0~=4w%uN+b~BJ(ud_6lXsVcud97`J(uTj z>BV@}{kC11*N3%C!LZt^aaTl)ni{ooq7VxH5?O3;O7s2y#I^X(PkI+O83d(h2dpbl zjt>HnbAguMZ}Z-!<3w;9W4AuKp+GR2+kw7NE;XvDPXMWn;w54``vG$S2eUMxBLUy48KWq@%-A3RD09hm&lv0`O`Hq^;kI$v$KoC2`5C21*WP5b~J2Xgl=Xg@B zc^J}yMmF?8ps*T^iH@$wFfA9%u?ydM9Jm?^nGDacKd``swC`SHWvb~F|Yo>A>Oh6jZ@jy`$w<`^+pPj<5K z&*!75?In~pG#1)^g(sj-g8Kg+U)6etkT9+6fR3VFCV#*rpndf4VJZ+0AXmHFqOKoF z9yshoVU#MZ0Uhch|G9U!&q9P&#%w>Fm^A4ntNFylxpDpQuZy`yOp>_uTd8XgmY?H{ zi!cI4Og`l$409GSMTd-d572-x{TRNtwfXA(;>9pyu6DGXP>?fB&A{dINx?XLyGVfl zn~VC6b8~|=JBk+tYy#_TDSfBrDm_Y_6Mt2G^ zw`ju{`kBeD@FqAtVrrL|oEGf&GEc7F3%Y5NaifzrJU~RZ*bCwnc@uqJSsS}0??CoV zffgDnP5rQ^Pq)I@6>Ob?vvWTGx{~$6j>QO>s8X1jGT(J2hNUu z;CYZCrP#^4&jl=Cs*v+?9L{@eGWOm&{rs?cwn4J` zsnZb#C9gM>-OG`&5YtI&VR~wC=(@aLkilV*J7NZRbM!1}9QiJ^?YjEu4hJEciB1fT zU3UC_^{oV(fW_ONV|kvtk4zQL7ERViu1<3y!K*@4XZK;JH&07S3bY!dXG8~)0M-d5 zLjz4fV28-!9~W6Wi#O5$p0Mnvf8=X3Jld!diR>crZ0Cc;>373+TAf9|h zLh%rE9&2-@uva9U($3@Uds_obx8BBp2{5V>M2ZJUK#$RdHviqY#rU^ySSoG8H_?Gr zx3qKb{O(>O-43t+DG+2v#J4pj<=`34@AYGvM&nd7I#W5;F77OehrPEEM=lHbfVJxzM)A`y z^&pY#<-yN7JW4?Ul$G-Hm4`Y)^brRL05wc`W;3zw#h}OD+tAg$r1Ofc8j(#YJJ6Q|`^o(4^mwy0dHGqEe!x zWlp?M!)r?#om!0&h~0vEf_`}P=@P>iyv>1elAT22=yL9`$sf<@*pTA|y8iO0)ILUF z^!B%xR6aR-cT-5|t-Xx?D6K&X_<<6#ceV(VNq=WvNqS^qR=Eoj6FjhC(@rxv5Bz8R zp}g7vBHD&E19Tk6tkq%D(#i@i z&k4K!O-=ZmUbsR{{}gC+%igj(?RYNf5Xzq~LZucJk#yb1vs>Mlv%i2?2xgTO8(RXR z82R-Jp4+E@hC(R6YLQY#@Kw4GJWx2cG&$D{GAt3`?S@A1QpXc+LmkjAVN)CNUMvzX zJqn2mItu3sFL2_6e-|EsUBvrTg4v{v>!p^imPj5~aIX}8RhwQgAvWGs@ZKbiuGh`y zsAM@`5AsG73ZMO_ExnDcl3!dVI+JiLEP;=T#Qf`jenX@sprXMe|29$~;IER2#hd#2 z`lq$DtF5OzJm4eG=THg`4sOph_a}5K$v>YCJd8zWUhJ|Fwp@JKV+=kPy21CWCu*PZ z$-X#Y(}=fOpc3dE77}tQt>kNP%-z)`NG;n^f=LZmiYODzc8!47F?f41a3Z%qgjGYY z3F86i#H^vE;cW{6Uk}+!@m_ut%1I6wsE>gb$g0yw5aH5b!+pEX;3~RXwUd81^TXw zHFtJ0XV^f1HpsbpuEf~?#9`tlZbW?gYM=^h8PUhFwiPIlqG zfOj54$(J|Ydiwe)F)`&5oZQ@MJWp$uPdnENwQhO?h9eo%A?gX*53fVA^50dit)=w{ z7`3byXTowQO;hB#2a` z0iY7-d>R-M$RB%K!=VJ4DI7y#L{8aDM+Yv6yU!KO;$QEA_g5mPy1_Mh7hLA>?Ilri z;qRz6P9XllP;K_S75?N&JV^X!k?l{QqWX41jl%|xd_8+FT^^iRUFQ?TG^}J@K5Hxa zpdTKEg?+P|+fCf!$!Oq|dklJ8{o5YMO!RCY!i4wW(9jX|((uxv95v&igxvmI#5b+r zmLa|aD(MTU^N_RbMchn7y@8>juD(7U-vH|JSFCTXIrDCRcsRbC^Z@=27jv>wY#4XQ zGvglu6jVY4h1LHIs~K#BtsvWV%4`>#lmut%CgNr;@ZwEd4?4ytoTuy*8r#|uiD7<6 zhSN6kriNhp09Gt)-x*+w&D({SJmu+klQdDAwav}V-#2$69>}VKF{L?Hw3lZ9?}xcx zdpYP^gc8qF6{N>+?~7-+B{8sUka6Lrme%}UGU9^t?aL*PS=366ATx$m(KxWKo#~Ly z;yHR$8<)G37=a**588I|k=j1F)IJ+GoKnZI|^16hk*w-W_O zwvVp+vA%H<*4zp_vFGB>^^06zPRWkh^}YmT%6(c6y{H_`iXoGt@iow%ug07`UQRHt z1oASUlnJ{0ry6XMle2Sp6@8cnV{@k-J6;%LFSD}$B?QlS)#uccro<*?rd{yBRZVo5YZPp^Of68iV!Q~O=8T)o_<>fd{JUOpn{(z_G6=ZqE$Y-Vqqg%Ut@p zue;`GXFb#7v*ACa&*+-B)Umd>c(I~)!oGMvZg1cJJ&eRV2f{oV*Vj_SWF|+sptx9S z;Jn^S7Pv+yaCq`>8d*ghIK~xtIVk-${tC;JAj160>aGfQy21SS{e@?-};RFYa5}3i%Lp?C>{N-7VD2cojx>l*-hdV>w9MS zTy;tvv)KW*W3xZ~=O77G%-SiL6~>Q~QyMGMdqcn1)zc#`b(fc!{CIdZ7vAHyLCWX^ z=R4lyyi}P9hz8%sXaBpnMdmsd?{jiybG4S>YDM(#5KYj%<182^J2W^r<+-ckWZQ|u zQjvE1s=nHR>w8FPD%HUB)wdH80GWXBQhnQ)L*6m2$YX~OKlnC$uRnsUw4rA`+g@FG zRo>fx7Z1ECm@GDg=9CUq_ShU~h?jbA&PLtYL09RJhzHzOmH1`Wl`!M*n;3H2z8Am9 zmZHQy?p%Oz9$DI_HF1!e(Ow-LkX*B}S-i6G_72JNo9wSqwmV)Cck#!)Xo#;eq5gl5 z91hy_))YX;Gx*75NFJCbJ*b4SkVObD*}!|;=ibU8+qn-tw>VZ$ST6m`zy7qxrdi=7 zVQ6LbBkMLJUHHYmb8BB>cD62#FU~Ql zSA>*TyF_L0wL@H7RXelF)ue_U^7@Fa^g&laB<5+n7{D3^B6oOQvhmtKuF*{`Zz2SkognABzxfvHuVd#afv2j{Uiyoo8qW*k?zhedkbT-%IqP)BxQ8wtiupWwXtf2}RP1}9$-jf4* zlL%tR$SWQ9FthT!z8J4R%D8%}uiKpi{q1faMiTX2Q;`N))K)Nqq4W;If`XfL`WO5= zdpU`K(L_#Xp4>^|rM%~M4&4-o5=z%1-W`zU&+4w|(&hA&ctu@=gqxOK@j^U&0Ic;< z8%Q_Ud*Dj{f111Ycqr30Jffj?(puG8$J(?OTWb}YBuY-JD9bpXIyj$FB!?8DEtP6T zR1{J(80R5GSmjg>jmeos$*hsET8EkMdTqPE@3-F{`|sD!A7O^~ectD}@9Vzq>%M4- zG9nZ1-~X!dxWcAQHwRC+xVTguGCzu08=L4?QJp06#%jL-{yzdBIAL|KXZCh>O_UZA z$;d1qpa^o?_?tH$LUdzv%>+ZTpF0HYu3Q}VT>^bzO~KT5AnU8aw29a-{Mm4RCQfqF z8|xCkyAG#D);5D?geY(;v#i&rV(Pi(qmdi7P2R|-F7J>J$q570FRyl8w5nj+dy4S` zH`J-3o&gl>dtWi2z7hAk##_Mf>!?A)pt|AfS81hmI-S+p>MVOWs^{-maLdFM%OoL< zBgFuS%jo6h zcASpvcJ$I20DJCy-XeTdco_gKV?fL=eNRtG8MUSG7hLU+H>(8?oE0vFeU?!h1ph#= z+fH)r#$V-a^qHj~zk7Il$Fn(VbQ);Y0F;=rmPeU|g;sa^2mKOR>?anTxGUoKVqM*- zM}@!D4^R)w7nrvAa@T}-^xT6lQ#{rdH3H zA!osV3YC8nhc~6Mys@Fd3?nYLOfpd(F6*%0l7L=DDoleiGBcAc*gOtK2wvxf9+%L$ zXE^*OtlE!~_%CsRbQLv^P33&=1Od>|w4@>!wXe0bb1t25O$l2!X{T(N^AeLb0mv*B zc&-aPK~k-SvGGOR7IC$3Ilw8QJ$z_{M}lbVU)Jjq(mA2co(I3Lqrcch&fyW)%6 zCYjjCRl&e0rI>=uiH(hon*qCt((>L)Z9ahZhFd1fb>(XNY-LF znaLmJ7O{#kV_w8$8k85euB@%xe15XaP3E&6Rr#JB*EN=r=8!DKN_)9J^b(}Ymz|yN zvWNHW(m+9$OF*VPz$zkCojHq9x1HHA-o%-2N5u_oY+u?CDp~#*^e8Vuc5Dm%;Aeko zB%at6P>!J^`FYwwK@xe7Y2=vOtQICNs-}|SA#7{R?Fy3F(!}KkVBUC8jpTG-14Y~P zi|eNPwAWCsQw<{ksxV(?Eg|8G5hkrxXk9Ta8?N+hdZ*=wRDt? z4{_$<=0FEg)hOIdYPqsQQ!`+0+8toh#DT%4+{F21_4Va|)q0SYri-|a-10tXCo10- z@QCOT-^X)Jx?6;wjka!+Q`dN4^1S4P9xC(Z;`MkK4NXnv*o;8u$kokN!N9FZTaqxI zfH(n})TLO^$k=%6yp5)`D0GSL&{^R7g3}5sNjeLg{)k9A=G~dEhv5aWkQ1w1bi)?H zjz;zT83b_>nh(dCau?~Pk-A(6Xz~7ECZ7XgFJSK{B_|6O1Lcgt>rUjAI@T1HZ93Ps z0Uk{SY=^~LE1JzsGtiCDQd8HbONNd##6KFoW_+S?GgHXR@z2m5FWbMGL{aBC`Pc?v&-$ z@TZEtCh2&6u{%#}z0`(6p!cUkD_%VnN$>9NMyZ=c07~l&oJsr&mvcp8`=kboS-V=z zO{HRWG%y_pEONuSsQs-u#$#%8yZDJf)EW2hDWgkZ=E6kRhFU{4Qwc`#(YjcIS(2G47vEym5rO zTPpqq@2S-8{DT_fl~)c5cuUJEj&fIQR539!ItbK}&PZ{VSH$cVh*N>P{vcgPcImGk zyA#C%ZXB%LNzo4dkV}{)E{+;#x1k4j#77SB5+-wsr*_JE_myjO)SUl>*)5Z&aMIrX zHV6cGQ5}^XlJk#A4$V(bk7CplRa?cU(p*XB+;AN)b0uR{v}RIfgi-0V`UBMqY0OFh|o#LN5#DS-lc zY}SA>)4;%DK;EWYNum(Fa7yAdoYaikQ1ET;PtgwN#eGuK>vNK6(E}7Jur*NFbe9HL z=eW4Cl9ELJG1RYBsUvb-(IHwb6Enlo`d{~cuCI1{8{<++-QH*|t(;8uVb#50FrFQf zjfQ=<@ijDa(=bXKT^w@TwVZj;L1wh*E|&m4+->|U@zF+D7r|HmboEB}HAKW{Durxt}VE)xTK z_8=v?Dngh(C4*!whz61{s&nS|d>?oB6}G>GVR!_6FxMTR2dZieY;2PBV5 zdhx=ACdTI=LFAXwonD5UX+~Nka{3!zIZba+|G-R9k?>Zc)YXPu&5;XrpnJ|5xXCE< z@TDi?n<8oszfB(K_*D8O;@2f0z=6a8BVL5=VMUe18+&Tr4sax#3)9bd3=hoTJ4!g* zldmVn41$;;Snt)R-w9TLkq(9{8Noy&ntP%UM{F1QAUDoag}oW%9~iMzPkp}$3=br% zKbV-@csfMz7V&6Er@Y9t^{uc_re?LETx;$-iH`WBP|Q8uW47Tb+S~19MV<(Fp5$Ep z9aEBOg8jUmzTsEC-=0WZhl(GT%(xApW*WfE0QjLJ+4u27C_Okhbu2pLF%63OYy<@; z3r5+VCa`x#GqD1)PxAu@QUPLQcAPLIpflmb13tZAEE8ltq72ILJivw)#t?R9s8{nQw1tgMx- zEmzuFypv>A^PUP@PX2H5x!I=B5Ee;ujgGu~5G)Z9y=9!)p9A3@9TvI$IkWhV86*)z zZk@j9xUdJ%48TtF4Hq$pWjHf#RDm6N!xSf zt-pz1?0Y;YB%DkY@F{$fWnpLo#eAFDUF}F~x}Qc#Lhcd!K~FUY8y&1UsjB5WC+DCl zy&uiCL0tmQ-Wce^2JLm=$&NQFu&cEvWFGSFpsoOP1O$Rk?j|NBX9x?&--flQt7l0n zYlJLE0-3UQi{0%r0~h*nSqhgpZ-f1;dix`kU9;ytkcEq>0-k;WFp&vl&RZ>VSBOSr zM|2O+h6Yr+ly+Wrkt42!6ivfUB&Nq_Dkj2AAyc?9;TSSrgv;4)sAun6((8lJagzZX znzWps;f&jctXBx;<^jXi;@G-zb$Uag8`JunN~=%7O4ob6E^D9dEn9Uy=B(EzV$xjw zf-4rE#0b#Kf6Dr?cXhPg>vb#MXn772Hp1JE&)s>Dexg(^S9k8O0Pfn(T zUM4zGIItM5ySZ+&%}WLw?8A@vFR*m#NMG$Rnn4?zjc41Gb1U}{q33@NpFPY$g;pg*Tm-O?*8 z(mT^Cqv3z#mG7r}+uu8{@80vN&=RpkqJ&|&VH@f};2W5lvl*vnl(oQ7?>P2r6rT2d z91{*CfGv>8$`zz4A_NiWz5LYFG?nrJ%-TS zfH>3brM@477C&a1T$;&vgwApnS{znzl}`n4lDR)w{Vf!I3odm@vk@UtVZ>=^iQXHc1Y{5B_SOeUE~W7kKeD) Tl8{>@evpx#$=;kjP7(hBRWI+h diff --git a/epymorph/viz.py b/epymorph/viz.py index b8a1c6dc..8b24d8f1 100644 --- a/epymorph/viz.py +++ b/epymorph/viz.py @@ -1,8 +1,15 @@ from graphviz import Digraph -from sympy import Expr, Symbol +from sympy import Expr, Symbol, init_printing, preview from epymorph import ipm_library from epymorph.compartment_model import EdgeDef, ForkDef from typing import List, Union +from shutil import rmtree +from os import mkdir + +""" define constants """ + +# constant for directory in which edge label temp pngs will reside +TEMP_PNG_DIR = 'viz_temp_pngs' """ class for keeping track of the edges added to the visualization """ class EdgeTracker(): @@ -12,15 +19,15 @@ class EdgeTracker(): """ given a head, tail, and label for an edge, tracks it and updates the - edge label if necessary + edge label (a sympy expr) if necessary """ - def track_edge(self, head: str, tail: str, label: str) -> None: + def track_edge(self, head: str, tail: str, label: Expr) -> None: # check if edge already exists if (head, tail) in self.edge_dict: # update label by appending given label, adding the expressions - self.edge_dict[(head, tail)] += f" + {label}" + self.edge_dict[(head, tail)] += label # edge doesn't exist else: @@ -28,6 +35,7 @@ def track_edge(self, head: str, tail: str, label: str) -> None: # add edge w/ label to edge dict self.edge_dict[(head, tail)] = label + """ given a head and tail for an edge, return its label """ def get_edge_label(self, head:str, tail:str) -> str: @@ -37,16 +45,16 @@ def get_edge_label(self, head:str, tail:str) -> str: # return label for given edge return self.edge_dict[(head, tail)] - # not in list, return blank string - return "" + # not in list, return empty expression + return None """ -primary function for creating a model visualization, given an ipm label that +primary function for creating a model visualization, given an ipm label that exists within the ipm library """ -def display_model(ipm_name: str) -> None: +def render_model(ipm_name: str) -> None: # fetch ipm transition data ipm_transitions = ipm_library[ipm_name]().transitions @@ -62,7 +70,10 @@ def display_model(ipm_name: str) -> None: model_viz.attr('node', shape='square') # set a minimum edge length - model_viz.attr('edge') + model_viz.attr('edge', minlen='2.0') + + # init directory for temp ledge label png files + mkdir(TEMP_PNG_DIR) # add ipm edges to graph add_ipm_edges(model_viz, ipm_transitions) @@ -70,12 +81,19 @@ def display_model(ipm_name: str) -> None: # render png of graph model_viz.render(f"{ipm_name}.gv") + # clear temp png directory file + rmtree(TEMP_PNG_DIR) + """ given a graphviz graph and a set of ipm transitions, maps transitions to graph """ def add_ipm_edges(graph: Digraph, transitions: List[Union[EdgeDef, ForkDef]]) -> None: + + # enable printing for LaTeX labels + init_printing(use_latex = True) + # init tracker to keep track of edge data tracker = EdgeTracker() @@ -96,13 +114,29 @@ def add_ipm_edges(graph: Digraph, curr_tail = str(transition.compartment_to) # add edge to tracker - tracker.track_edge(curr_head, curr_tail, str(transition.rate)) + tracker.track_edge(curr_head, curr_tail, transition.rate) - # add edge to graphviz graph with label from tracker - graph.edge(curr_head, curr_tail, - tracker.get_edge_label(curr_head, curr_tail)) + # get the sanitized label expression from the tracker + label_expr = tracker.get_edge_label(curr_head, curr_tail) + + # form file path to save label into + label_path = f'{TEMP_PNG_DIR}/{curr_head}to{curr_tail}.png' + + # save label as a LaTeX png + preview(label_expr, viewer='file', filename=label_path, + euler=False) -ipm = ipm_library['sirh']() + # add edge to graphviz graph with label from tracker + graph.edge(curr_head, curr_tail, png_to_label(label_path)) -print(ipm) +""" +helper function for displaying an image label using graphvz, requires the image +to be in a table +""" +def png_to_label(png_filepath: str) -> str: + return ( + f'<
' + + '
>' + ) +render_model('viztest') diff --git a/epymorph/viztest.gv b/epymorph/viztest.gv index 09da5349..83046506 100644 --- a/epymorph/viztest.gv +++ b/epymorph/viztest.gv @@ -3,8 +3,8 @@ strict digraph { rankdir=LR node [shape=square] edge [minlen=2.0] - S -> I [label="I*S*(1.3 + 0.7*exp(-180*H))/(D*Max(1, I + R + S))"] - I -> R [label="I/D"] - I -> R [label="I/D+ I/L"] - R -> S [label="R/L"] + S -> I [label=<
>] + I -> R [label=<
>] + I -> R [label=<
>] + R -> S [label=<
>] } diff --git a/epymorph/viztest.gv.png b/epymorph/viztest.gv.png index 9017fb778db434a0416236016f248fd4911e589c..347874374b4ab32e1c95756f5240fb3943ea8211 100644 GIT binary patch literal 16225 zcmZv@WmuM38!pV~*oat2BZ5gNf^?X4qog!QN_VQDAgP2R2&f2%q;#XCv`7nx(j_Tf z`@G-T`_FfL&cO^LJa?>h#TnOnDlaQ`a6k2a5)zVw65=-%Nl11G;QN5RyYcVHC&p#? z&u%>_v702@#6NFJ5<^KyPLfF6yms5^^`AcHyW#dfR_2;@`yI(|Qds-Q|K7{4W0Akx z(iJp><(?4Tvnn(6dE;S#&vyKJA)RIuWaKDmB}igfqR>w6i!$!{oyJWgUFC%zw( z3z;JRN>4o0K(Hi-DuCtMN^-uQ;&y+kGxzVT(038BL$ zualbmze{9YwkIhU9JAx+qCTjlrIkQdWo~b0XEoA5wSWJ9N)Zpi!Ro-BZ{EN6&dj_# zT>R$E$tQ;xWUZ|^hKGmk?Cf;R%<9Kl;=*G+Wn>NtI8ML+_|fkbr_m95dRZ+k`kvhT zOy|z|=I8TnY;0s?hHO_oCciG~P*s({m=VuT4z}2?@LN zBS?-@P<;RKL-OiX65M5IbhNdt?WU;cZtB1%zkcc1*x2xTY~8JhwfTrn)Nv zs5pIneRZ}rR)w09)6n9g6kc$S~PuyfMU^TBj~S*#De%Lftdx@V)~ zwpfV<%3Wz;ZU_^?OLEsGJBrBXhaEp5pr6&`<-T zy_6h!|CW}Px~&es6kKdm`ghMB8X=2Il(_qFpJTsamEUoau|=2t2M##T*PbQ5(w+XS zt+{M%jEXG$@;Y?cyzA0%!Idjl+_pED!@|O5wYL|wRRZM_TNUoyxuvX35gi?UH{a?X zJdbj!`eQGzipG)^mUC=u!(X2>b^ZA9y}kW$aPXnl1ev0N)$ZLPDQ% za_-RET3KPC7Zdbt92}~#{xmc+!x8cEr{lzeM`E`(&YGB*u&QNx-}0xh9;n=xtM_k1EZrg*(R+Sxw+i@i6te`JU^YhRu@J&P20}>(%Uig z>(^CxcOhL}-4d;$xHzw)XJy~Cj_3c$?FrL&c6J^b86hIW!eaVRwW^X*#nPXiSN!%D z=;`T?QBcg!)iA`ho32(}^stsm&%(7wM(*K_J!gBre^+#v`59PJBBYcc{WdKvXs{+Y zuEkij*vUG*`8+G@P_X9)(~B1`uyT4PCi@6LiOYY2_|_wSRu7Ivo=5fRbT*QesVM@n+=;K2Yo0SX2N29lJN zln72EGS9Wv*x99}7f5;Q`Va)jB}&q%zM_{A5fSuH$?i(a3$IUccBE<~(kdn0&MzqV zWZZJ{o$N%}~pRVq11uZRE6_w6I)t$Y)4O^S*RKjk& zhYufCRae)$f4}i(iEBDv_jwkU!EbMG^t#TJh&W9nuf^r$MypO}GoL*9K)2$F_56^8 zqM~A2#MH{#TBggQDRL)V|JJQrC=BGsk1u*HH#9a5;{w@vc{Fr+pFS~OzC7>OD*pKK zW8)n4k;bT+`QiHR-1{`UcI`r*3=R#wf8F`>XHa0^!KJ08x&=W&!Mz6#RCIQ}tgDlx zrK6jhpTA7aH@~!0{o_X@HiVjn#@gC?^-JgF+wT(-ZMQa@m3*v~cI?;@A?#k5R6$-o zC6USbFOpwCR?`O=0ipZA^3 z+Fz5qckf!+*qlOTz+Q_6P(F-{W8#l)8Y`rrpujF_a{MeT0Efqc;*+N6Mi*L=3Sjf{*?XWONpLhwSXLEAc}r96cjV!Y-Rb%WFk~VodKk^(m^*!V<}T z{P=N7(%pvp_p%3xk1x8Q;JL^+U^~O!-%M^-R83 zP+##Aa$S;FQ*+J|(aO?qs=cnK_b%xMx!%`j1~m<6z2CooN2ONrm@IpplXK;e;4BGR zmeKNb-)nw*zr+|9RQ&z)&O^_&Vq5zT4^2=1JZn8+$6r@pFCirrS6KMtL&y7z<93Bw z8mafq%~7xt3JMB3N6|Yj)GAn5uvb-8v1%2oQkB#-Gz=xDm!4u}4S4p998Ja8(o!s5 zQPb8OExFgeQ?nsfgu&I-m8iaXd1o(N@O$xsf|ZpuBO~K;OUq#a0f9EtE2tufb(G1V zprE?!t{Km5SLDC7jZJw|Q_vN&j&I%FPxJB|gLCZfYHFGo8^8JVX)aR#_;ug6H$&(+ zJ2lfeQL0(kPbMlRSvfiy)rFl8pckSJ6eVh;^KzeKdc+j2&qdvMCs8NO2Pq;fER5%h zjf|wuwdkwU4;HFM4Yxwb@aKK_;On_LsV!P_frW+G1eCKn4o62vJv}}2%at$dlXm>4 zt@Cm98`rM=gB=lNx`HM{E9ms>^XIGBsK;pQ&CS6{N{L$a^?TTZG8VZT?cx;}_w4b} zDrzS}>HM|)hz2eG9rk=;Vq!mfdR*I%?qjS>y-vJK^wi&ut-kj5Dx$OEf!NvECBF|& zOw^S>KCn6#7o6s#S)wIpYr7zGA{!g#=kJdV8=Nkhsjja-fOUTK=uua;$jq_Dw5vD%A62=>$n|C>%!`2EK5z{iGO=P>F;SqpE;gx zrmOofD~oe+aj`@=t#i`E)O5nS80|LntlS07OS!qZ(ve(G(f!Xy-vDd_D!6R&o%xJh zjGJcqvJVO?u{dZKwY9bX$QMT5YkK`OHI+?0^~K-6cF681`esXG(}QD-HL#OL{>I7wQS?V zdk)bXpx8ROxV&o}-@A9O&d}HA?)0A8$w^5-xN*&XjgQC7!o$O-dJ973gjc&Aaa8(baoNMG2zG?Ru9et$@r>91i$z)1(0Va`Eu!o0%osk=e`9 zZOTVwf6;l9pC7TZ;zUNv`=)IgLCh~8U~>O{d``~s60KmgA?zZ6!rRvIZ>Bj!#gt(L zWLu0lVrye_*>BlYHk$vIsp*BXjp2*w;~T)gNWxDU8CTOg^>uaM9$N?E``+7|!kXfg zMC=sr>i0*M(XvQZ9~-uORZau4xYHVW7Q;xHUfX6N>DRn1ZNEt)raSK2S_<)WuB5*d zjnl7H!l#v}szdxM1ReZNbS@4AAw}Q>#HuloDlM zalM#kyI8r{onv+a!FT%9DcteuF};)MI3GWL{P6K3^|9J29e=T2!PURyD(@AOX6NR9 zCnd%x?tlAu^=o4zwkUjd)~dLqM20SiT%`>N?(u;Wl-%Z&U>pf#M&GKKEMk}i20j)Z zjRAS_Manj`{q{9`-)>r4U(dwPABj&>wIBBS5x>asGW`SloNwvLU3CL{)YQ~Ckf&5l zSD47i$e5X#-zX+Aw;cA;x^w6FXmhO5NW-fHvR#yJbG}h$YlB{`zAcGw`;-%@D-uR3CJt*PO z&=9Xdff8CUp=F+pNCwdVH8S!fD=Vv|JUY)t@SSCC*_%rRX0J>S^T>HL>0KJ1m>2+p za@&}zK|v)rC5o1erLf@bfy3@nq7DsVUvv<>1eS1h72xLP1{S6kx`&dHJ^V%Ied~A_ zPiU!n{O$BkmY!Sagej@1pFVvW?@XmDoayf9c=AQ(^N%0u-5+<1Ew5K>-ycTegz5Kf zZ=qUnUAcn15A^c#Y8%@dnw6V-Mo{qe;$$b-ug+{0(^|)`E#_k?cN7)NQF2yVW49_j zw?;jQl8N4c`U$W*UAFCUuOWiNc-iv%xE(=OzyjxHD-N;L9NfK=KRRe>$$@lth5gxU zIXO9Qn~R-pe_O=Bb~0^-C10?rmH)}>|Jix*ngTe_bYIcxr1rKXc!AUlR@4@+11H$O z{ruUqvATd#a;@w>pDu`IaxxPeTOgJmtcu&^uQB=y}lN&c=-77c73@^j8Ar; zR(#Qs_n15SE{a*;o+N%mODnCXcWS0&ncj1Iy+6FBP-QzHIC%7s=gN&TkFWjbfH`m7 z+J#irs|`6_XN^t_0FCacj~zz{EL782-tEjODJj9j`~$$*)zg!O>T9OOGAP>5>h9)7 z&>?)hysGN4ik9;&=P6*Pfs*B)aR~|4=aP!lNk7}S?`vyon;lP#B^D87@*}P5+IZrt zOS(H+T3T3DGaeA|WN2uJoQ_V&I8=wx;`WUjJ5k<%3G3S4`d$+?b!fPY>ISyQ!JmK( z{QGz4w+{pN+BZ6Bb#--K_cbo+z}+BhaUg;WXE`}TQS2k5qAbVO?%cV9?KyJnn4PBo zBh&^3Wo3sO%d8hJyh9`(W)h{OTmJj^Jz5#irCFgYmIA-jX+LvFc!dPT1<@a-kKRu- z(63*`4F_94d^nexl~vo=Sdun*K$i@<3?RZ4drCd>5QCZk6phl&B@Luz>mWzCWEI$o zgq)m;DKA0?4HcmSJPQ0wfM8%}G$i0=u<-9l0DJo!g;5npA#pHffEJMJ3&B8UXr+9f zTY~6>+1c6O+S_jdTjP&0S0w%9!fh3m(C5#;fVu?+3Gnf8xUbm_3=UFpn|B@DHn*@l zS_X)`fY|K&CgktuH#Rk8fT*qeMCc>_{+|%~%*;cPX||yKL39ERn#=60tnZOWHO7so zzEpfR@8_5225XcQ6uyAe2b#J<=Q=)XF;6ejuNla^Z_rANm{GY3; zcA=}dxbUZ!EK#SXrfz@)B!Zw%Oqi0<@mDT1i!_7Y;>P!yV}yuG(-19iVx>&>F`x!2 zD4+erG0uApzm|F|6R|>#Q9N1B3-_?bE9?E+OzF z(9r0E!KLQs=QFahD)83%U9ULJI#>~nPD|ZJpR%(JkWSd0g^?)B`DV|p&=Xot4?8-P z!N(>$(^W#E@kAjZA^9_<>qH)d>~DbM-7ELrN6`0sjnoLC3ZVFeUKV!tAnnZw6`_&l zo}Qkhw6y8GQ{4#(XD(d0FuS;D2xPcv6I_4i_HB7BtsvltH*X$1dbC4QN(!t(=gXsA zo2645Ld(53oSpfaMYaW}r>8%(n<}TMf==26zZ=8$+Ws9=Ff}zrYdq7^)%D@nckKhv z!glQ385oq4o2#gzVq}+6SO|Kc&vpF1q2XgdO*AB-w4QI@J|isBIoEy;9`+&%4(pXG z;kY16Z9_bkyWf484)Mpsp9T`+;E+&S8iVX10m9n1ckk!w>fKjg*(81VFlOC|2Nn&c zmjULJm6bKPch9DV&XMF7NVc5E{825>O?wpJEg#5|OX}ykkOCSS8f5_!pQ~J=@kuK_((CIsLwLbWq^sLA_l|nm#DRt@LkiYI|%9GAsbbE&!*_u1%&dY%DY%J$h8% zE)7co&XJvyqsfu>WvE?6yQ;kW5m@7Ja?x&yh(v^ucIOf`gb^YUc=(lX->!VYrV$VX zSX zG)P~*eAx-Db`L9=EPQYx%1@=$nt!?x)) zUj>-J-hKPNfOVn^0(IaO>oOv_?guUW9}fsL#Rx@pXBpAZ^%UB(AjU-^Qod9f z)ItmBu_$UZZmVf+4MpZ^b)Nffnge#KWgTXm@zl>x4;)0aES2ZV6+*d%+Mbb_c|Ec9 z{H{)*WKss<*NA6;F$r1O=~kB{DV`mDrS1Y3!X>$P9M^jm3Tz%N;u!-*8K+K;Mvu;3 z6GS%%P1$Ys%brfRl4Sc4m<_06PQWPL1-56Qi@nAtuqgce{Ls(!dh@Lj-3s#ZSEZ#% zuU)&g@yF7WiIp`)j3pOx9Xcbeh{uNC@|2cpMxJV6QHe`bow2$3`wt)Xo;dL`IjHh) zJW4-`(cI$V>2v4A`LvXkMUiueSCk)gv&VsfGO=l<(Jx>6fc@e2lJg*3fYpY7$67?A zb^8ci5hC?Z5hP-7H zmG*BE@6W=b-(TuZtd*$Jomo#NE;NwD`1r?Y<52c^J-3Q8bEO=koSDi zO6mY^4OT6$q9TU>fiQ#oB{~!^Dxd8L>G=5g#t2W@7bu6IpmX!}7Z<=^I0=iOq8;T& zPOh1L@v_z2L9zejIbB^wpw58-Jt#%iwzdRxa9>}7aZq*RkkI>Ls)lFfr{! zWrXztiDPr=Nq67J*zoXM_V!o6+~QyqICEkzt6&g>OWr~S#G-uu{8`H^#Ue~OdAQ*f z=fAsl0WYR77lU~ds)za;O$CLA@FtLx|H;u>O37}^&V2{&@bmJX%P}7L;JW_&ZE*?l zo>Wv+=DqpPf&4R|J}1aTq2h3^-LIPaY3G;+P}K8U&^cregWEHpE|d_7`}f&!<;u#+ zOZF4DC7c?bp?@SGKX>jSdlnj6k)oExYxV2FJbZzp1Zy1mRD^~L^hA&*W@hhz08$Dz z^-AcCb4yDJZ{I#FFTV~E?rUwWE}G~RoT7NCmq)0mYMFus%b}tW;&ok}-`QBVkZ1u% zJxj}G$m*+*gh1{|*r#_5PfkjCc$6w;ec$|TYGU%VsHn(BPDMrKbah%9I|7)`VTuxf zMpaGi`HL5#PEPrXW{P+3N=r!WL;sKzQ*kVEh8RQwlL$C}=|^Cj%6}Hv+js9C0Xe>Y z{rVg`yRztO=qzeErpKWVL4Q7c>{wgkQ?k!+PynaiAhejog3h_x^?9uSQMuchh|hle z_RWKZeC7Z`06%*Mu!lBiWo0#{@YS71{_00beB9a;cWh!)Nj+s#l327mvyu4twM2!Z8AsFR~HuCmT4 zSy`cNZMTJ2e(fZBq2~8%q!t&v%)MBp-{j`L=qqv@oSKpbcefYH1CWLS4)kWZ68J|F z;24&j5kwbvm%holMxK5hOUwR?mLGt`&HD<&$Ht7?OzmT}w?)A&Lc_xi!+Ku}IFdbp z()jM(JER;FCudgYI4e9XsHY&ytj$8puR}=f&I-Uc*}1H@CJ#OXsSA;lpkve`ksp$k3Zd zp+e=f5GG0S@=sS3q}d;4>3voK<;>7E#3H;C6VHMW>!St(6&}2JG2P6=0yPu@J+$w% z=0R$hLtnmparfw(e5;(CZl;}Lh7NrTOcl0{X!3UHhT@|3Qxww!SNiTmj>0HD`L1Y%FHFppT$vyK_w-dGJ!+NDk@59YPBGe zt|i=`3v5T%>|O5uJp>oJ7P{6EI=aSB`Zc~!pB5zWoJYq)u$NWY<=8v#meiKBw`XBv zt3tvc{)8D0PX@{+4uY?XK9#w5?+l6^uYdp)>YGry(cG`WWu>NesrnHHd>0oPU7wg@ zu?yBAa`*{;{-(tk9O*P4-z)9ywNAmg%A?*-o`gJm2JJ_XgM;Iq(kO)14@pUHOG?~7 zD+`vX)1tD&aLetiftcPhj*YP+H5PiF?+l+j6zii4IUGR~)X{NKqwO{c3B!J37NEn- zWdSxERI(}Yu1S7c zOEM%F0G6?diE_Bd_LCiWM!5+4xw%G&?`N^fm6bP<&b&^uClQ2%Xi>cM!wlu}lhyC* zAY4eb-*2|~u5fY5-@O|U6{V5h=jC-e2yGN79nkm1%^Fge{?c`j)r}LU8Q@Ctos2tj zLqWS^>~3Tifp|f|fWgt;^!|D`5)oW5bh7C8n6u$6BD6H=$M$)=35WSC$|^R zmLI?qB8|&7JBrZ5=#uTcwXdzaSOy>Qi(RdbkF^B2h|0>`ip9TjTtjH@HJYob<3xA}e`EzRYvHf^nJu|Z&GofJ04PuVsTx4V%MNm`N3;&!K?3`Sz>(^iK*-l=*oY_Bk z*j)~T8Wsv@S3ozFG%zooy?TWeJj9}sHnpsJbNiWrn6Jj?cJ)&Hl#t_WQ4`UIVF0fGEmiTygox(TxQ`zt)xt{v?s#~3Kq23<>Ro6E#<&Y9M@fzwgOE!Y zO6;V?D#eXhC`F2vITn5Vgg_!Idj>lG`gGAD3^)+36T$%_6Ye2 zK97l!C9aiwe-O9}eme_I23gfXsmE%eC7--0Nz>woi;AkxoH-*(p?vI&p@~Tnt3kfU zrVAK=xP$~FN-59{0b;N}65`@IuryXyRwDQfto=iu(=qN=1)zmNCd$P9GSAJ?Qzn}K zj_^5)Z#wi;1r#IHo=7%r_r>ExEd%hkv$yBC|APxb0YX*e(&s4Y>v5)4_4?n$pX#NY zmoLNrtbw|R8W}fqhLyFUjqwl_fJNAg7xTm%O9I*O6FWt);hx&srxKxOs7`Z#pYJO}{@~&LlPdDh*T1~TGiflY z*k>su1SBn&hK8M;hzuj+Vv;XP!u zpTB&02&nxmBH}9?8EYV5dtbdVB5%wT6cnzBiarVHB0QmwA1}l;UMea}kbdrbWaPp~A^|^w6P0nC}onx2=D{2C=HDjnVImLGjrT)eE^ARh(t!zU?Sq?ty_;Xbxr;&mDP2U4w8jcxcBZn^d&I- zuv=?Ew0zeM4db)j4lsH=(@HlEn<(KN zPIsm19UXg?0c5OUL}RD++A7M+zX@0Y!-pSNU+lafE-wD7Nni$Z9i3RFEqEiB4yGzg zDJ#EF(6fziyaWX>2qPm1mFuL80A0jLScwHJl5xfAU~7S4aEMI{p79?v>Dn9 zbtu2E(5B~p-gzc&)YP#4G;i{qA6+ZHqeJH2?-9LoCtPtfG$P_0&5KA835T2gh3fTr zkd?rr!Wu6D~h7GiPi@qa6pJ zmQRqcH;`{_%)FX1|5^MhoJA$mZFT;kf6Afo7cU5GV(|InjONdI_y1su%l*|LKfjQE z4~#-ef&vl61g&oBX9-QTY+~DLulsTz!n(SR@n;z0#;WJALCxLJUADoV8OFxOzbc;| zt@CZfL{>9|5)xn#1yQrYvZ+6RWN1HOK9Dw5xgOk1LQ+x>Il_erA8Kkz!~(efJ+)E& z>DXA6ry>%{%12=2JdcicZ*RQB0GJW)+tt_C*T#4NMm`@u|9`#q5!N;=tg?o|v%xIA zgyF@7v`~C9>b2rs>G|;e?NN8Jd z+9kn0pdP`E*q5W;70{n4l!K4c1-n)lo0Vc~466W1x11_VER;)K}UyRgN(dzu+Io3>0XcI&zE>r1NQr?O$`mqFuFkIe+}G=fEBSZ zp;AUnaZ*t|g=6=W2@{#toFMvPhJwU=ow;fxYE8uZctdB4uWU z78v_PqavcQczbI-&rUa+S>O!e(1Q4+{g^L-Pyvh$$Ki8pYwQ0)XUqs1l;GCNAn^r^ zm|;6Ai?KSV-;Yl?L6Usx>nndG7MzGh%V>S+57Yo$iOizt4>utqg3axo4JV}!nIe5Q z4HU5!3Co5h*G(>(|2PK9fDXOM%PWhEi&aZph?P$ODMg#W^;dfOx2mNsmKY$wkT?Mo zoG77CaWDt~1`#3b&VR9ZcE`oil>s)Dn)9`?BKfEiAoQ@9CF}FlQ~ztr2z|;Sa295Bj&3@}_$7f@Pw(IiNo&mA?Mx zbge7{2osO``->>5m=z$3#@?2T?3!P#HrEz`Z63iX%DCUdExb0ygxGi8Oo4~>K0f|1 z1w}Pvp9m4p(tYn3oIj{D9M~<0Vk;9*7+bJOiqgaazU%!5pKN1D@u5{Bo3N$aVBqXL9wR|2o(W#+gkh^yIJ+osZ{y>40pw$FrXl3C6gu-+ zUS6k@*9+c(=LIo{Sa6xzVo;VO{=v$p8hR$YD*&l@eI9wMbW`;>5&iu0$udj`P}$kz*otW9Y2Ncorq(Bg}o22;W1KB5W{d z+^geqp8O}{>2`)p3C@1rNj!D&+C(zSH`T?97whWkoG=}=I(*Tyw$OeO?3&6~{(+g< z>hyF#B*FK= z!!Swy#Mh?yzb--$UsANo=<~Y_^bPH8$FD7qn%}(nFQ#h^foDlT)~&D%9$O2s3k$K^ zuOVE*!C8zd?93TkHW)=IH2;zPlwo_NhPX}LoI;%FTpdfgyta0KdWF&d7u#S7F!_)H z==&}%&N6Ajj=Crl!5 z+LT#r#!SJTCb?wMo3F*7{Ymdu8M8pJ&=Mu=n%_Wym^VQSeWIR9m`sA(8w=8}EEDbbroK1a&6JtJoUK%XeT35M#PBg`FhS zz9TUnat_4s7sjQLae9#O2y?d=TI6P_%OLu7e|qPM>%Ebf+J#qE0pkjR4}E?Wme@Wr zvXO$(7*2bq>k*GZY6;!L+M4RwWBYaY5@R^&fTK`ae_=R44~iJx&KluKEH_}}n!vv} zNWlqcRSlj&*s~Zl1TpZ!SSug^r@irYQWt`K3pfP)Ul#e(d6W(tytY}oGm}pgbsq~k z>~%<3XZ(A7c5W^)JZ=mB@h~Oj*Th&4esWzL#E_|PZmy}Qxbf-&^wX0Vyn(+Q#e11? zcOqP@IK?D*HZXR{4f-`mm(_JMI6RB z#P)%|Z&TvfwGqHF!ap0j;k^0Ab|w7y*>vP~z7Dpy++V zJUNu?b%A65J90w|cNkVD6w#Owqlu%$@d$7oKrBDZ(gJpDQpn+=aB;|w9=#zgE$!Ja ziSZ_KudA3-y%NnMe}Lpr7gxts(3V|<4#K{ z|98;H^NgBNVj0}fEXXPk=p_z5kWGw3ql5)GoSc<)6th2QhcI#(o*k_H-$5g*Cv9KJ z?$Vb0(^cen5$X}-=pb}QGneU1!}>K&E=KQHb#U4cf1Peyuu=1&g0FL&Vys-GRAdr( z34BR`0V7?cRA*aLLg%DfvC|yM%`@JYcrZoer3&OJN>^oCvRlb4sb?;S`KHyZdLW?FgdDX;%6 z2nr%2kQ9;LU@w*vR%?yV=(-EqCfbv0>+1A~=@qWdc!)i#Ex{g@7d_?)++OluDQx zD@n4lv)>~k_3>5%CWi09j@_6t5{bjq0F-njFFi5%k3j@a zLdG>VK8H4?i^|>*dF23{l7HN8UH5%BFf|o`u^I~t3u5jU(Z4(yBYeGgZ;2Lgma7w{ z(z{;rR|PQCxg4!N;nqI4pl+99?j2G9I+33pa#0Sl!qtbA*oL160L@bk9wHdvT3XU{{zu(Q?G&%!(T;jSs4<~CDcA*|l z2^knLV*$4hf|&1Of2;_3HrHME&38kKtfHfA;L8nUJPvNVLbu@NgAI z!_+V(ZN;%u1c(w93TDInP^jGZZ{Hq(K)_#skw#8KBL#mS2Yt>2Y3;Qx!0-s#GVBJ} zAsrZ2)$r9yA4NRi@^iIkV#V&gD!VXtfRt6$p?z*iS*Yaz8+@yT0QXaS) z<}V2*k_}$}%uDJ%AqUe*5VH*Uz#y;CdF%Y;J2`^@_9D~ui}`FtBiYWoHTp62FO=Ig)|7F=*R z7AG$*H0kJeRV989i) zqf@tVrW0=s^T`Ve28xd=<~<3Y6s^{$w$Q<6V6?0brx)0Tp2fs8!CUQ~xwe@1{ynpj z&!u0`@UaMzJHnnnzowvY*os3p62qN&eGW93o~c`ggxk8C&6^5@76(Wdx{YGz@P$An zjBjGJ6-X79au!hjNK>@ggnZS>cnpEm)hQO*mThmj!uz2VcH>2y^*WD6qm>JP2r z^%mIGnsSBy;T_WB1%AFp}?wFxYuZW#tlo%l2IZEeT7In3fD zef(J7*@@pdfo2V_C=Si>wA71VFsO+KK#91DkyBzxy0d(6>2Q{kfY~S_K7>F*O?{!Z@iWd7Q{uRRLP#ve)Str-!H+OQkbqWC0)Ryf z%%SeVX07YQ1^1DXRwDT-)6w_Vx}H;I_f1idBZ``~@-`HWv9UICXg#Hm|=BL!~1 zD?$n1x)o1;&&&h^9B*xH5mRB% zg$E}m&Au0y;9O`VRK($uX{^?3A=ekh#e(oEKBTAbVL!tSEt46Mh~f?sXLxjs5T9Fk zFra%LuLBGOz5r(hs>3Lb1ffjBwU)p%Y>O?5Fb?`boFO!9=q6zzMgJS=dE(`@6U7S3 zD)lB6JB6lpA@ka>=ZWjSfL;*a9{RI%<>lnOZ7~M(fg*-)2zxm@I}C#g#GP1JZp5{a zoLH78B_$;$Vj;OaL7tqEeJ$?f#ESz;32r6>KOna6#u14h5x!F#&joN7Dbz_+vBB|ilqV4^500b|^NTp495(KPSq3Ga3l=bl^k!Qz@5{yY zrX4dTCU29H_T}eyK)_aMf}?OVvGvsjX~xQv29}oT(yxjN3t^plVf_(NirP+-s8a-V nyrCWv<_oFk|L@587Q^VBeIh@NFN@&JJc-0D*_&zCbsqg6f$N** literal 14037 zcmbWeby!tf)Hk{b5m8b_LQ(`ox*G`z2|-dir9nbMQVB&$Km-YqF6mCmjevmCB`GD{ zASmBhdfr>#z5iU#^Kb;p0)@p-?D%1$mhVC=^x*{M`~42fh}( zJTDCY!!cEqlR=#!|9xo4jzOVlQ3^7W8XigO-#s<1Xg8kUaujIrXYFYWz%31x|N4#D zL1tb}UpDey5*gEWySc0~V+iH9us*eU@xHcrvUEl?zFJz^qV@9$X7;|9uZT5N)yCXa z#}XSi3A1f$S8P65C*Yj=^yW&dYx=BeD{_2ltlGHBi6+CP3nY?4zM!Pc&fod(yNvk{ z3{n4nEQR|bTITNy;LG)>5-i%kum9EA+l$Urj0>X*p2|{5wpk;>r9)v4I^iQ9C%@!2 z(}W=-Cr2rAso~qm11Vt~8;5(yXZPRbL<=umxpvKRO+|Np<3Dk&)F95&{&@p6+^obY{bZ|`FFO~WZ}3JQv?^{Q#pnWks2 zJI#qg+aEu9(jL!cR_wX^Nc8ER{OUm>i}uR)dCd1vG-<|mtVeoiMuvdc0PcbMM`|_xuiR zQ;o~g;G%%|hIa{GkkshtC@nAVl`_jdS!ZYGvWa;S(!Lal5$2Pfh3=lW6~@h&6-yuW zYf8tK%CAZ{_*oD1AMPDAT?=*Q=Ht7&In}VeKVszm@=(`6qGNoH?=CJK2cN8PJ*9vH zC(5oR@Ph8h1w1^{^Muqt4EXKGc^R+Zjg42>KGf18%`Yr`bhtTf8G4Q55#}@hv9Ym= zJbeqhgM)*${G!GOiGF8)eE1zE1&8b09Uoa(v@0noC5$O5yKhXIphjV>bne~5Lq3C$ zTGV(TOW6!HTJO2*%C4??_UHFQ4UIR37Wy^LLGRwZD_LH)dYhQo{p!`L(T@+y;^i4k zKb`I0YBW2=w+jysPshoLORvt2 z4XX(qL6u+PYul%%-cfh6XyD5iB^-Zz3SN0LKd-&zX7Q6Xp715!3Zt77bc&mnoqqlj8YV5u z?PX+Vk9e|J^dwo#SE`ocDW4mrH_hD1;ilycxd`)Hw{C@Tp<7y7M&Uva?d{o4mL$$P zgYhZRHnz57L;2d|D1O^v)~Qm z{d&5%xH$ZiL5+c=q`&_`#c@SN#h2dR2!+fCTI%ZQE;aXl`8ru!Ss6DsH-Bkw57N}s zblP2T7TP^Lw4|n{W_#t>{gzGl6Khs>Hczfb*UruknOSXeN<>=jstlz;VG0xqCyJGo zRmp7ZbJPuTl-vGKO^5gFOUiNc1^1&rlbH!PPMJfsw70jflq+@i^+h)959>{yDN`LT zni^C;rh{FIr0KhYcQ-!*_MUuoszC&+$@gSkpumaaVQJtw9Gpt8XshMJqAb@v2DO#W z7$zm=E8J1?ZE!Yp8}NPR2lri+6sAWsECe&>7(K39M(pY6Uk3oHv`ScJes< z?yjb;9?;e%6Brmc(-L%1r{06B&6Mkbx;h5x&!0c_3rfkt6`Bi}O|?%}U#Fx*LMya+ zQ)kve(AL(rJfw7+mKL?YzYnKZEs-Nier9&|8Eoy~;9z;Jw@!+?)lnt21mz{r` zTUcPAFtM=s-k!t8Mxow|dbacoEYw#lZ4=<*xBuvj;c}c3{k*V4%7Nuy=e|iVCPsCc zQE6teVzK&m!NW3~-zSG1P$(sSXTGRfnv1EbFXQ9MP+!Nr%j@f}>s8t{r`-*8jZiZR z_C5QFCn_pBGdG7>qaX3+&6V`_)YYZ&j9?-EQ-PCnjSR-3GS zqG%?P$Zy{Q<6&lgKHVkk7w6)Mwq@%dABi;B&2Oe(p{z7*jnscg2>1Jx2fjX#RxoAK z)X{kf$La<%GcJ7;?z3mlkez7nuoEiEnA#w+r_SN6!gds7W#fYrst1q+pton2LX zO5=Nk@&5gLGH!ERfuhW%^C)PETeB}{TDrS0l7wIr5D>)kT9Y_T)py2TBPLEgXqNE# z<%;4U(H=TpSXdY>Ho-dlR97d09H;t&aa$N#GF1-WIiaP6M;MLI3p+VGx4=Pp9Uc9= zJ@i_7P7ZEnW~NS+1C>g$a1b1V7C5hZMsd4Y-P;ZqeSYm>piXzXIfU6np6)Tz-?(97 zVuJC(KEg{z1{*cg6?;3UsK{}s1ol9u*cgM%?C5m2Z|JR<-=FJ7KKoZmISfDY;XvJ0 zR||$+7b5BH?d9a*k(QUoZG`4tamZy*IA19&&JnNGs%`}y;yv5Cnu*q@fxRxG$k8@zOOZtgj3#to=(=zIk%hX?BusH0C- zlr8W$bTOSo#KahvFJHbc?oHP4bl)b<-ZuTT#oEE4ute$DqT%DmkD3-d=q;G2`9t)W zY!VWlo}SAiMKlE01^pcxk8xl%1>HBU-&0iF{+VCoET+PE^XBYgPa>y)fSi>TbEU&~ zJk-(gQp&eaetvCe^m8s8TU*;NDH1ecT!F#CX>fe~P9~;{ofq!?SX!Eg=VfMNyK8RF z@Mpis&uP1Ic13lb4w1wdG^c!nyYsJ35pW00~QbF5R*VB&M9qykmV4PG#{Go{nU7>zW+VEgGTSQ%HNSQvnoRgDNe#ALc{o$0?V`pb6Z*S3! z$(q)lvtO%4#N_0i6G}QO(2YFi!v%=Q$wQFdaQpVf&4xp2@#7ztD;V=?^*ijJc-NM~ z)S0aJyzKXDAcdARv;^Rn&clb~Y}5cbG%6Mm%z^Ft;<4oi$IYxTE*L|tzNg!A{3b2f zkF2db_eHHNEjvuj%$~5jf3JOV33UROPYnN5Ancn{P+)<;3BTiRqxg`JkYQ?x<}~XDBG8suoL}9rxJ*w5y-EgpY558V#ou7+jpLeG-ac zoSK?CDQZx7**>Ap_X^&*L_S;6%c1RSet(wybbNiqZ?mwN>Qy-`Jmu6}-&RlAeUvk$ zta$+&a~Lj8$}!RCBXSuRo0W;_MdHY$lcT~%sJcm8dI14#Gf$U}mdVMa6Qi+#wY`-A za0YwrP~7JKz*f zH`S_PHk-((lJt3F`cu(BBRPu-TK7ySYt=TdjN80}!+vP&fqKq7g_JO9p28Y^!fM-H zmRM7C7`dSH4_qiyr(b*4_1kDl=3BR#;U;Rb7}(gfg^I*P6r$uAaB*>)-m>X&`ks2Q z8q{9N2BPrI1+chXqC?c0-}H+0hz5Nvs_m_gAK2O`o-e?(m;=KHPy?RzUIt-ta1I@asLN>#cE*ECfP!mVTq7wZ$ zGcKRIyhN?csqs*^tg}GBBZP$#jLh53)lK0TSJ`sldy?OijK+~8|S}wj328; zkKUd9f+u@*_D-~SFc`GWxfJbh{ADjq{!$z%G}&M zN6fMP)z#(cPZI0~wSl+Pv+ght{yF%-7UJycioKO~f#Jh%;gzBMIP^8yAsLlx&?d3B z=KhqS4ZYU+P)#A1nW{a1B?%Z9S{B@l>#lH1>i2l4sd*K~Mdt9}6|2M%%LflgP%}f? zMhnVWu0o{n=V&=S5_yobKbvQ07&cqLa`;Z_U%kRZiinPm4q(-6;q1AKq$rdlPwQL# z4m9ADWth~(E=wv$M@PoLf9+ShttXU7_kZYKif0F~GJa2Sa{(wFvz@&?)JgM664G)S zysmY}addpIbN>b)qkgwnM47)#iw|}#oF**1gvOP|b_u5VHTUhgyM>m5;;kM;UsD@ZjWX;Gv+y@^u|NJG(B@XtWR2tMG~)cu*jnbTBP5bB?AH0B0RNJ!uA# z)W$}`8|3OLT}QFK$s#Y{c>r7*AFPcjyLlQtc+fIo63Q*4!5F&kl)N>B%YSfs?6Ogk z+N-DM@oVoEnc1Y1t;0i8Q+g;xzGxYr$U3RiCO{DQD4?Gz`CV3P0fgfIN{p?IJ|{#J z6kQW_c4qVF@K!huoB;g+9!RIE`f~+CXTn5n@{LBXj*e~`B|po}y`@#4dk#$|@Ft{W zdH3(hzwt6MQf|7@r^I#TfqtVmIX*rca=xwvLW`zB*egtENA{PoNb)%gJF*?(&AGcUvFNJiNB65W^_R z9%sA9kB71yDGbWa&K@5%2L5+cboPtmbZ_9kAnY(;YEGC8SFT>&erp6Ee%kj$*?wyC z(^R4~xu{;*I%EX*f-{EjSoQzutowz{$~8E8*S8E{G)CK9t@Je@Nj&P zQC=Z{_T0I1XoARcx<)RC#8!cbf|80y67n5#3Ui94KL>M1s~l;ZU0l@k^g`t#sZCmg z@pT%#g#e&%nV~NwcU{EC4@yrrOT1Kky8P`1jJh1YAdPW&&sz?o2zY~&6Nhd&uGhgD zqAE;5qiLv`)|E;n5^-C*V{LtF%5#YdfJ1sl2DZ!M7fAr)mG%=^{FOTDC%JpS52ssO zS}-p&sSMt(1W?=B(QzIC6f6vrs+!s}Ad7b2Yp)^)3Jz_x(aC!WzX*vx+mT0ep&Ue4 zu3&R;aKH}V5D>T)!*qYqKAI_}v)E(X6e%$1{BU3?vhJr4gvdPS_;ebrSHxCy+5S=A zdwe4!BfGKEbAY|20D%CBD+ZbcEFZ_g!NI0S-&M?UT|r2+bG7Kx)Eak?)U)}HNHgG3 z6stdCa^5;OJ<2hLvbA($1a!SsH-{FUxYlF(%+jji2XX(gpg(Dm9U(m7W|DI%RF zNWAAqDfDa)0$efeCkP3wZGm@Fh_w_LeQIp)a|D8|prBy)=k)j^%*ii9L$M(;^a$Gd zb+FzI2ezH%_HDhZ6QDl5lV^Cas;RaDAXe9_e4^4mal97J1VVbB-Dz_8UfbSNl#^o& zjLb4!Hr&+E&`^m!iu2;di=@=ly;?u_n{2!tUCwg>$b!2S$Tl%}$*sF+O z0Rx8h)-44yG5eF;3{_^GzV~8d{h5mU5g}Y?*pN{;4K4Kz4exYV9|6Ny19WQ%U~5ts zYDi5);M3V35kNWpf|j?nKF++q49y98wT`YX1tl=Avhs5CM~@!a0qCwj`9An0Eu4LX z&@3$W?b}l5@WuZAD8|@(?_}sr#Kpz!09~?5NTj$^vWYpeeTyE+O-xKg3oE{5RnxQV zdUNYbPfz&J(2%uV`gUnX1_O?NvY6Lf0Y>|dWDYG@3v+Jrix)1K`2AirdI;z*KLX3> z7?#Aw*{9Lv6ebWCnhZf>&?>}tx3-K;OX7jtmQ+pqCbqY=Jzfod@uKRdutWYK2bwH2 zEX*86l@fd0s<*eR&wcI8O)oMd)^FdwQLNsTk$K#m`19R}s?$&Cr`@)B>D7QW%EVe< zwVUGjze`9cg~M80pjTB2kU#jTz`AjQhy!#1^K`k$;T55<-`UxApf9fNPmoSOxl}=u zVYaGUB->xu)!qFrF_F^i?Dt_f6`r+R7eh(rvat0#5E+rJo`{v0M%Ii|PfxF6R!rlY zlcTO4RZ3|oH>@uj4*PfhS7GH>4UE*OBn=Fx6qS|jw>jxiyunmLuFI;49d{K>S9zaI zf*=;J%4`m8(>^pMUBkejC)u%)?v)0)u)?4vbRt>zxM;1IPIE!GH8RmjdSzvf?^ zdG5;Qn#{WioF5^W;=lLQ5md;g`xed~JgwC_gMWnA!1&w|C;BfR?draBQr*3cBfhMY(x-EE*abkJUXr zg$}ik;~i^$o_S|HxCON&@K8^$b$pxxIp2qe+Im?@hJL@FRP?q}s54^0IXGH1I(r3z z!W{G*LBBuszUK?E1bt5h0lv;IEDU8G%DD4-n@v`}sdTbCE_{c9h0`=OHDxRvyix{R zp3V@p+|%9Noil$m`k(}KYX@)Pnf9V+DE3+5N-F{oI|>ZyDmA-xpCh*~Bo4PR=@H#_ zq+z>;4ySwp+YT~8Xq7An8yh}U$l@RP%UzHL9c!|(vi>SlFezsi7Baa~9K|RpDU%P| z`}?Ea>cqW+Q9?V5hmw)ZA;`47Lm&$g*H~>up z_re89RaK&=`#*zVihFo?keSy(Pe!jt-&EAyKV3wZ*mL~aIKMK=tiTXh{u%btnp0ou zrDP7{V>bJ=+*$`oNsKFaL9#Vn*nJ?m-Wc0GI9OEvsWIZ>?EE|=M4^s`aEL*Tmgo-i z6)7Me(1njCrvD88baK^`ev&kHfJ~pTuuDMQ>ET&Hj6o-Vt|ti^oNBE^XY&ns7h~DS8_S%wGhpZR=yQK!Kk<52X!ZG{{H8~(Yi&!m(@s{x*X^M>KEuBD_Dsd;nBgk|0s`1LICB8}nm$Mdgi)!y zFt)evNfdn>8=HGG!rIzer^4nc3_uJNKR-W3MFddM$B!R#q8%QaO@hdk$Y%Jdx|%GG z!w8+FocMV03pp~bpjP;Qu1b&mrcEaNYs$zo4JABE$Xn$bQc~ArGnmJYbQF`5lM9%> zJrYX=eC0vz;HZf!9$W&vk2^9lf#av>PBUj`ZlL7bYhyeco_Q4!l9H0k1KETi{EjoQ z+aEeN{`#5E%)&BfpVoPJ{n;JV?c29Ko<60gr^j3!DeAagRNv3YRk`H*y7$FY^93-8 zZg9!+^kgMijgO8tff`M6M7Tf1<1|1_eMCgZo-UvsG((`YVB(Vp69GuHo44{vgEGTjxt ziDN6Gexd5x+LocAt2boBR1=F5L>ZZw=3(HDR@zen2*;?Gr`EKkiuLRH^2K%B*Trno zjnu$G;-#DGBe>yu*Eb>hwh30S6{*F=s;eJ{dY)AFYw#$ahuwFxzW=%V6^G}W?gfvX zA0fJBL+aTov!NV~ci?;i+Y}WOlV_*9c#u(>KFg5%kVHM9PM>)23)#edXkWt^>utlM@NTKSrq7Oa$v}4ug1T98*J7Q zf#60fD=U8;*5IO|BH02nV`JK(ofsAA8w#S2XHaSB>EXnRiKb!XBG}->iSF5FJv21z zJ)tg2Xya4)Sih9-0t@L2M{?;d@3pPq&3hB6GpUjhC1ttco7*PzoKE`TF|C^za^&2sb`T2>-90g%C%8rRi$O{q7QQ z99%*|?Zj!1u#WO_-c!)6n3&g3 z_U{`S#282vL}>6~hsLca=c710MO~MPKwYm{%4Lj1J{!mY2#Q>80j|zSkCVSxZpov} z!&COCqfOl)5{%lBY&K5~s(H0zcVK&y9}eJoD3TXocs2t&~w z4X+l+Xh15Ti`o9ddv?C3-V{uZc^3@Sdw644YpSbNN9MpdHe{iXdg&e}*Z5-_a4@1{ zgSQLd0ahVZZIz6O=nk7{Ei>{ky5yzrvMP0J(HE$vpGHJP5QQwShl1B_eQ`Xx14IEJ z%K3bHVjf$xS|4>Vf}}8jkh~Z3vYFf^BO}92RkdmpqyLrW_%P7bMQ z&Ou*PL`1}<6gC9M860r47hhSRx$?W=2ENc?T||2%aa-UCd@3v?ASWl+--!ne3#5k| zJUo}fxa2b*fO3&D#MgKD3WXx|MX~_GIM6GAv<<$>jsZjdHNh(mr-4lVB7jO&`aX%) z!XhFAMFHTdOWsAicI+LJ*YXVYo%3LB0%A`cw%f1UY-|P50;8Uc60!a$4n?1Oc~RPG zza)ivFhzCA6jsd7T_q(=OHF-NwYDg%XPwu26*|<*_Bl6k3Ru@m_P{ygg`eb=w9;}2 zL6Z)A@#2Q4sJ^`~;2~;JkES8vtjtV0E-vEZ<6{(WhsPxX0$EV#lai9g`Fw++G4q;JO*f^XSXWVjN7bzaKjbdOOSr%%&94gO!2vAkN{0 z?EW0eN6a{2X+=@XjdpM_3?dqPcmXLjlMOIy^M%+Z4O-h~<<|af8L+X(gaB@2WMpXR z>80!&xji+8g`rEDLcx3dITb?fb5Y0oo$Re(0V8UdQ&3iJ2if;qk&y)C7tDGR_?D*{ z>I^O1wB9g86J*xb)($E2c6W8DYG`2B==bXJBYg=jvT{^@GqR?p24+uZXXhxWw!o@T zTTGEf^*ear5e}!VPc`~bf&~M;5>Zz`DhF~K?sqy*Q(Rf;u={)M^Y~2#JJ3FWaTnW; zumhS&%ge(99Er?L5L^QQ`htyrE^7C)YhLNT6OMp~dFbvZ4|I97Ae+TTF9iO0}&isi9nC$M|uS@$)zyKJnabW`6 zB`i|>*XIvn<$5|gA4*H3-QQ`j1f`_VO!=Mpe0eW6G1JgisTh4UtmjC_&Q6f8U4(vy zb>7&~F)}IXx;Ky$LwYN0l6N#)a_9f(EvGfaw$MvO2XDJK|;l!*q6r;Mm+m z){d_JP3MhivPb}K)jlWu{r&xqLGV2V%{@?`{e=wuvrnHSox{lRT5f$ASZsLJ)YEQSg>l63*vU1_{K-#^dnDhW zrU6*!4l1eFQ2z_b7(BDt$q`0__C^mxW1lf4UzHh!0(-9IYpOICST&sJy$#On%zuXM zbJz^fy^W8yW^pFoHpj>;95DhZj~8%!kKRd@e&O~jD=Y7UzOBtJ5WebAm8<_%GF{si zoNH8+d`5*uGK)p{Jjgq=SMX-n*TX>-3Bd13z2|8gmwGb6=@BjHv1JV2^n9F=Z!^dR zC05_)k!O|0KlgQAEeis2HHcIR8|KF9T-8|Ha>1uDtY~L03m-2C&A_K+2y$P?P4sWqR!D z+6IXN;;UDKE?j0Tuh!Ewup2MG0Gc+knRoA=JJi`f1JSjhhqs`hz{K7j|D946|C7xr zD%iPTCB^^%>2`K@yu(qQ<~U)bgGHojkkiD5TYPwrU1Et}}z0u6^k;XP=NT{9D`GTp(H9RKPY2TSp|pFY#Ph&NbJU z`cgWO#sZGNQi?bgL>O={UbHP+UsznMeE9J1DGYpFxC+e`O&}TmlZXtI4=5Gtxw*NS z)z#1n+Yt)y6WJOrRR$6|Zf=s2k`kSAD`J?jL^L$h8%~46!*jq2k@g|}=g2IKj0+P! zV4eE>zse2Va&mEL1<`wUem(%SrFo#{IMZ3pwj>;e^)EryP5tn}-~AZceTmz;?wiBndxZ8UFY% z0Pu8kZ!ZCuxzO7?AXf!6FoK-t(Q-pLq=M`wtBFxty&{`%?=o!U*dHnc)FE>*)!?;C zh4tSGmGk|R6OptS+&>wYX`t*9zkU16&?8WWWWXc=P+np^z__OG6itZ+GhGM-15 zfNwqi{p$&sYcL?m7)S#~7$7iqiGmk500*CYFKbZ0&J7=IyO#4b-u`=guAJy5vVmG( z;2q*;r!Gj$4HOGpJUl5t+z!CntH#h^CF)}lEl^4Uvc{n|H%)R%Av~_BnZ$j*;hQQ$sHYNt*G=~QQ zX1WCP1)2(ihqkw7rPn5^2oE>D&u_Swmy~?V@w|kG_Z$X|Od7l2ON4O3`8W8i7}E^& z9zT?ntpyb4Vu$a-$X?hweD;iOrRr>lDEOg0NMekvnlVOHZKX0&*tX(*-s>qIo#U;$9vVC8k{%@ z35oi%KPT~GUX{b!Bhk^(oG_k}#Jos>@D4FMf+-j;;pdy!q4JW;!ra^#VwOh`hEUbl z5BvOCer@^_4KTgU=&IKZdkSgMfaOZ0{lOfA%Xua?vRsz8SWn+^0@wxs;>&kEYg^my zAwe+jF2f1f+Sz#?7k6#)`}f=%RIr;rZX)I#l4tdhK*$Ht5DG+;)3WzEBFt=TY@qz18ITFx zYyA+G8e_%s>|;?;2lyRB(H*caGZ1H#di01S~A{{H|XT4vt^1F>c9-u*_{m!W7H26*V=Xoc;yx%qiDP0b(((#$TU_@QA8876FY z?fu-qghau}F@6g0LXhz1AW>#B02!by*f1Cfm>%00vnwl|HzV`ZBdNt8LzY&t^0xwo zB?t)#tE;PNnV8N)eKho;oWW@@Ofb?$il^`u7tYMx+gWH55)z=ATsDI_2Lz$7`L(sQf+6-}I#Os*?Ycsu zudk2vmU@VE!qnt(^N_u(K>rLZyZ`jQ5=el+v%JXn(HNG0WNuCibO?^uw2t zf)Wg;dBmiW^b!;ipu|=m{UF7{iH00Q^#NYgYb_9J+Trjx!KxsF2^ex@Le30`(f8!*TaAAG^E1fC7R3 zSJTl&ao^qDeRN`?YGi{L&T(?|&(~M~HzZ{9F$GKwu-QQytZ0zFnQ<4)BqSvG*MSD< z8Kf`SNa}DTi-)wH94aP6x(idGkNN=XhO}qL7_FIh!6+z_&z+r;pv)l=PB9e)1xXbZ z0&vu-_W}D?2deSCgE50pIVizpY6YaVO#hd2KqfOHl|ldpNk}?){!3K^-Bf%_#&u6> zuyes#zt;5vEF==bfWRIm#024RBM}udbXaOuMuCh1{mK={z0Iz!UW8FwunHQEQ)haq z7Pp89B|Nsgii)h88$SyROZC38lG4ob@@GCX`_qxJF>>%;0dHrNe1N)f^#neRD9wOS zh%a9b0CCN!8(@+ebTUBVWL#2G{`K{uNur)4a5r~=zJQSh*9?V*VYWVAK?a#n$G&;m>9aV~Kng*0_yQJf29jA&^OSvM zFSp3C$ITJqYjBb&kz@j>UL83`(cKtr|}F1YQVe_3Zk(6fBv+o zVBqH9i1b1{cf`)Vd-tx*;XO=_gc=rGCMqhbnjihm%@~M5V|MM@wa@0<(i<#DvGe>t zF&{RW8R8Hjwu0FUIYUecdsRQ(XX#Cmh=fGf3;@fVj~`{An{oo(V>N2L4q!$O?jwwf zg-KkzQGH1T$k1>+lW`ZZ`WYMSVjR1HP1T1>7NFvw37*ws|8N!pKR^vqsjwqgK=}Fa z0R_qp90nP%zJUpdpEv&m!3F|cYJKD`P(;QkWDBqWWiV!P_w@YOYOs^U;Q`a z09MoY^!s})WYQ3Bh>nSITIs(D0GhhWaT>?$5|An~Q4db!hRi<`fgwR5G8sn!`jx9H z#Ncg0%>E@1sy(~L6&B8J-n{v`d%?y6;4`}kAVIa0iAm8A8Pg0gCJ^PK;Cbc={f@BQ zHmB^@ROOlIqHw)YL_3wg z_5cPEVn2>#{XJAmE_O_-*2<%7b&DEV~wCuXy0z*tE@35u{GTv8e0s2P0 zdlv$0O9yTkV!lIa-3h=bthgjF0ztueN*)nW(d#f_v#8}o1QAs z2gnx8Q%iUqgn4}&r?fNcYU`hzybiMrl&WBmg5dgaaTu5;*47uGtAKVP#Te84<;$gi z&f+r-mb*}t5OF!DuCA`5qtgUwJR4z{{jc3rA3hBE_>mQk^bIIa=);KR3W9?_fG^}H zctMybFeQV)uG{-LbP;eO!Yx4lL8RdNYckr1kUcIlA6V*S3hgrl4jonuvzb8{ph1Oq3+=72htc93D1O;#U`z_V^|My?AdWpKu>qhk7JEVkz&(42l YzI{{DsMrpEPYtDTS4E~!%J}*J0@H5RIRF3v From f96ff1dd15bfb2a2dbb0a67a5f5b3177b27df350 Mon Sep 17 00:00:00 2001 From: izaac Date: Thu, 29 Feb 2024 12:36:31 -0700 Subject: [PATCH 03/23] implemented ipm visualization function using png labels, which can save the model to file --- .ipynb_checkpoints/USAGE-checkpoint.ipynb | 235 +++++ .ipynb_checkpoints/zvirus-checkpoint.ipynb | 6 + doc/devlog/2024-02-03IM.ipynb | 960 +++++++++++++++++++++ doc/devlog/2024-02-10IM.ipynb | 24 + doc/devlog/img/SIR-model.png | Bin 0 -> 5082 bytes doc/devlog/img/SIRV-1-model.png | Bin 0 -> 8749 bytes doc/devlog/img/SIRV-2-model.png | Bin 0 -> 10385 bytes doc/devlog/img/SIRV-model.png | Bin 0 -> 7882 bytes epymorph/model_pngs/sirh.png | Bin 0 -> 31947 bytes epymorph/pei.gv | 8 - epymorph/pei.gv.png | Bin 14583 -> 0 bytes epymorph/sirh.gv | 11 - epymorph/sirh.gv.png | Bin 30137 -> 0 bytes epymorph/viz.py | 170 ++-- epymorph/viz_test.ipynb | 375 ++++++++ epymorph/viztest.gv | 10 - epymorph/viztest.gv.png | Bin 16225 -> 0 bytes pyproject.toml | 1 + zvirus.ipynb | 245 ++++++ 19 files changed, 1954 insertions(+), 91 deletions(-) create mode 100644 .ipynb_checkpoints/USAGE-checkpoint.ipynb create mode 100644 .ipynb_checkpoints/zvirus-checkpoint.ipynb create mode 100644 doc/devlog/2024-02-03IM.ipynb create mode 100644 doc/devlog/2024-02-10IM.ipynb create mode 100644 doc/devlog/img/SIR-model.png create mode 100644 doc/devlog/img/SIRV-1-model.png create mode 100644 doc/devlog/img/SIRV-2-model.png create mode 100644 doc/devlog/img/SIRV-model.png create mode 100644 epymorph/model_pngs/sirh.png delete mode 100644 epymorph/pei.gv delete mode 100644 epymorph/pei.gv.png delete mode 100644 epymorph/sirh.gv delete mode 100644 epymorph/sirh.gv.png create mode 100644 epymorph/viz_test.ipynb delete mode 100644 epymorph/viztest.gv delete mode 100644 epymorph/viztest.gv.png create mode 100644 zvirus.ipynb diff --git a/.ipynb_checkpoints/USAGE-checkpoint.ipynb b/.ipynb_checkpoints/USAGE-checkpoint.ipynb new file mode 100644 index 00000000..9c32f5d3 --- /dev/null +++ b/.ipynb_checkpoints/USAGE-checkpoint.ipynb @@ -0,0 +1,235 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Usage\n", + "\n", + "This Jupyter notebook presents usage examples for features of `epymorph`.\n", + "\n", + "## Basic usage\n", + "\n", + "Start by constructing a simulation by combining a GEO, IPM, and MM. If the modules are registered in the data library, it's straightforward to import them from there. Once you have a Simulation, you can call the `run` method to generate the simulation's output." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph import *\n", + "from epymorph.initializer import single_location\n", + "\n", + "# Note: the 'library' dictionaries contain functions which load the named component,\n", + "# so you have to apply the function to get the _actual_ component.\n", + "\n", + "# The 'pei' model family (IPM/MM/GEO) implement an SIRS model in 6 US states.\n", + "# (But keep in mind: it is possible to mix-and-match the models.)\n", + "sim = StandardSimulation(\n", + " geo=geo_library['pei'](),\n", + " ipm=ipm_library['pei'](),\n", + " mm=mm_library['pei'](),\n", + " params={\n", + " 'theta': 0.1,\n", + " 'move_control': 0.9,\n", + " 'infection_duration': 4,\n", + " 'immunity_duration': 90,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000),\n", + " # I've provided a seeded RNG here just to keep this notebook's results consistent,\n", + " # but the rng param is optional! If not given, a new RNG is constructed for each run\n", + " # using numpy's default_rng.\n", + " rng=default_rng(1)\n", + ")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that you have a simulation, you can call the `run` method to simulate the model for a set of input parameters. Note that it's perfectly legal to call `run` repeatedly. If we did not specify an RNG seed value, we would see slightly different results each time due to random variations.\n", + "\n", + "Which parameters do you need to supply? Each IPM and each MM define the parameters that they need to operate. At the moment, you'll have to inspect each of those to know for sure. (But this is something we hope to improve in the future.) There's no harm in providing extra, unused parameters, but if you are missing any you'll get an error.\n", + "\n", + "We should also provide an initializer function. This specifies how the initial population compartments are set up. There is a set of pre-baked initialization routines in `epymorph.initializer`, or you're free to write your own. Here, we use the `single_location` initializer and use partial function application to set its parameters." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 6 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.290s\n" + ] + } + ], + "source": [ + "with sim_messaging(sim):\n", + " out = sim.run()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The output object contains time-series prevalance (compartment) and incidence (event occurrence) data for each population in the GEO, as well as some metadata about the simulation that produced the output. Now we can inspect the results!" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Prevalence is an array of shape: (300, 6, 3)\n", + "That's (T,N,C) -- simulation time steps, number of geo nodes, and number of IPM compartments.\n", + "\n", + "Incidence is an array of shape: (300, 6, 3)\n", + "That's (T,N,E) -- simulation time steps, number of geo nodes, and number of IPM events.\n", + "\n", + "And here are the SIR compartment values for the first population for the first four timesteps.\n", + "[[18797786 10319 844]\n", + " [18797696 11119 2495]\n", + " [18793768 11470 3400]\n", + " [18793718 12244 5348]]\n" + ] + } + ], + "source": [ + "print(f\"Prevalence is an array of shape: {out.prevalence.shape}\")\n", + "print(\"That's (T,N,C) -- simulation time steps, number of geo nodes, and number of IPM compartments.\")\n", + "\n", + "print()\n", + "\n", + "print(f\"Incidence is an array of shape: {out.incidence.shape}\")\n", + "print(\"That's (T,N,E) -- simulation time steps, number of geo nodes, and number of IPM events.\")\n", + "\n", + "print()\n", + "\n", + "print(\"And here are the SIR compartment values for the first population for the first four timesteps.\")\n", + "print(out.prevalence[0:4, 0, :])" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The prevalence data is a 3-dimensional numpy array of integers of shape `(T,N,C)`, where `T` is the number of time steps in the simulation, `N` is the number of geo nodes, and `C` is the number of compartments in the IPM.\n", + "\n", + "The incidence data is similar, but of shape `(T,N,E)`, where `E` is the number of transition events (directed edges from one IPM compartment to another, associated with some sort of transition rate).\n", + "\n", + "We can also do more interesting things, like plot the data over time." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "

" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_pop(out, 0) # prevalence for all compartments in population 0.\n", + "plot_event(out, 0) # incidence data for the S->I event across all populations." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There is a very limited set of built-in plots available (just those two at the moment), but behind the scenes we're using `matplotlib`, so you can certainly use that to create your own custom plots. To do that, you might need certain context info. The Output object contains useful meta-information about the simulation which produced the output.\n", + "\n", + "For example, how many nodes there were, and their labels, and labels for the compartment model parts:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There were 6 nodes!\n", + "Whose labels are: ['FL', 'GA', 'MD', 'NC', 'SC', 'VA']\n", + "\n", + "IPM compartments: ['S', 'I', 'R']\n", + "IPM events: ['S → I', 'I → R', 'R → S']\n" + ] + } + ], + "source": [ + "print(f\"There were {out.dim.nodes} nodes!\")\n", + "print(f\"Whose labels are: {out.geo_labels}\")\n", + "\n", + "print()\n", + "\n", + "print(f\"IPM compartments: {out.compartment_labels}\")\n", + "print(f\"IPM events: {out.event_labels}\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/.ipynb_checkpoints/zvirus-checkpoint.ipynb b/.ipynb_checkpoints/zvirus-checkpoint.ipynb new file mode 100644 index 00000000..363fcab7 --- /dev/null +++ b/.ipynb_checkpoints/zvirus-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/doc/devlog/2024-02-03IM.ipynb b/doc/devlog/2024-02-03IM.ipynb new file mode 100644 index 00000000..89cdebfd --- /dev/null +++ b/doc/devlog/2024-02-03IM.ipynb @@ -0,0 +1,960 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Note: MM used for all models is single population, no geo model is used" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# Template for creating an IPM\n", + "\n", + "# import dependencies\n", + "\n", + "# define function that creates IPM\n", + " # define the symbols (compartments and parameters) to be used in the model using create_symbols\n", + "\n", + " # define compartments (i.e. S, I, R)\n", + "\n", + " # define parameters (i.e. beta, gamma, theta)\n", + "\n", + " # specify created symbols as comaprtments/parameters\n", + "\n", + " # formulate N to avoid dividing by zero N = max(number of individuals, 1)\n", + "\n", + " # define the directed edges in the model and their rates of change using create_model, return result\n", + " # set the symbols to our created set\n", + "\n", + " # define the transitions using edges\n", + "\n", + "# call creation function, set result into an IPM variable" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 1. Building an SIR IPM\n", + "\n", + "Using epymorph's model definition features, we can construct an SIR model with suitable parameters.\n", + "\n", + "![SIR model diagram](img/SIR-model.png)\n", + "\n", + "The differential equations for this model are as follows:\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "& \\frac{dS}{dt} = -\\frac{\\beta S I}{N} \\\\\n", + "& \\frac{dI}{dt} = \\frac{\\beta S I}{N} - \\gamma I \\\\\n", + "& \\frac{dR}{dt} = \\gamma I \\\\\n", + "\\end{aligned}\n", + "$$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " ])\n", + "\n", + " [S, I, R] = symbols.compartment_symbols\n", + " [β, γ] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " ]\n", + " )\n", + "\n", + "\n", + "sir_ipm = construct_ipm()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Low Beta" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.016s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sir_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.20,\n", + " 'gamma': 0.25,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## High beta" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.022s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sir_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.60,\n", + " 'gamma': 0.25,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Low Gamma" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.035s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sir_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.45,\n", + " 'gamma': 0.1,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## High Gamma" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.029s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sir_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.45,\n", + " 'gamma': 0.4,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2. Building an SIRV IPM (S goes to V)\n", + "\n", + "In this update, a vaccinated compartment is added, where S can transition to V\n", + "\n", + "![SIRV model diagram](img/SIRV-model.png)\n", + "\n", + "The differential equations for this model are as follows:\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "& \\frac{dS}{dt} = -\\frac{\\beta S I}{N} -\\theta S\\\\\n", + "& \\frac{dI}{dt} = \\frac{\\beta S I}{N} - \\gamma I \\\\\n", + "& \\frac{dR}{dt} = \\gamma I \\\\\n", + "& \\frac{dV}{dt} = \\theta S \\\\\n", + "\\end{aligned}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " compartment('V'), # add the vaccinated compartment\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " param('theta', shape=Shapes.TxN), # add a parameter to simulate the vaccination rate\n", + " ])\n", + "\n", + " [S, I, R, V] = symbols.compartment_symbols\n", + " [β, γ, θ] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " edge(S, V, rate=θ * S), # add an edge for susceptible individuals becoming vaccinated\n", + " ]\n", + " )\n", + "\n", + "\n", + "sirv_ipm = construct_ipm()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Low Theta" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "| | 0% \r" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n", + "KeyboardInterrupt\n", + "\n" + ] + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sirv_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.45,\n", + " 'gamma': 0.25,\n", + " 'theta': 0.01\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## High Theta" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.057s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sirv_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.45,\n", + " 'gamma': 0.25,\n", + " 'theta': 0.05\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 3. Building an SIRV IPM (S goes to V, V goes back to S)\n", + "\n", + "In this update, vaccinated individuals can return to being susceptible\n", + "\n", + "![SIRV-1 model diagram](img/SIRV-1-model.png)\n", + "\n", + "The differential equations for this model are as follows:\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "& \\frac{dS}{dt} = -\\frac{\\beta S I}{N} -\\theta S + \\phi V\\\\\n", + "& \\frac{dI}{dt} = \\frac{\\beta S I}{N} - \\gamma I \\\\\n", + "& \\frac{dR}{dt} = \\gamma I \\\\\n", + "& \\frac{dV}{dt} = \\theta S - \\phi V\\\\\n", + "\\end{aligned}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " compartment('V'),\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " param('theta', shape=Shapes.TxN),\n", + " param('phi', shape=Shapes.TxN), # add a parameter to simulate the rate at which vaccinated become susceptible\n", + " ])\n", + "\n", + " [S, I, R, V] = symbols.compartment_symbols\n", + " [β, γ, θ, φ] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " edge(S, V, rate=θ * S),\n", + " edge(V, S, rate = φ * V), # add an edge for vaccinated individuals becoming susceptible again\n", + " ]\n", + " )\n", + "\n", + "\n", + "sirv_ipm = construct_ipm()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Low Phi" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.033s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sirv_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.45,\n", + " 'gamma': 0.25,\n", + " 'theta': 0.025,\n", + " 'phi': 0.005,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## High Phi" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.053s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sirv_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.45,\n", + " 'gamma': 0.25,\n", + " 'theta': 0.025,\n", + " 'phi': 0.03,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 4. Building an SIRV IPM (S goes to V, V goes back to S, R goes to S)\n", + "\n", + "In this update, recovered individuals can become susceptible again\n", + "\n", + "![SIRV-2 model diagram](img/SIRV-2-model.png)\n", + "\n", + "The differential equations for this model are as follows:\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "& \\frac{dS}{dt} = -\\frac{\\beta S I}{N} -\\theta S + \\phi V + \\mu R\\\\\n", + "& \\frac{dI}{dt} = \\frac{\\beta S I}{N} - \\gamma I \\\\\n", + "& \\frac{dR}{dt} = \\gamma I - \\mu R\\\\\n", + "& \\frac{dV}{dt} = \\theta S - \\phi V\\\\\n", + "\\end{aligned}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " compartment('V'),\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " param('theta', shape=Shapes.TxN),\n", + " param('phi', shape=Shapes.TxN),\n", + " param('mu', shape=Shapes.TxN), # add a parameter for the rate at whcih recovered become susceptible again\n", + " ])\n", + "\n", + " [S, I, R, V] = symbols.compartment_symbols\n", + " [β, γ, θ, φ, μ] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " edge(S, V, rate=θ * S),\n", + " edge(R, S, rate=μ * R), # add an edge for recovered indidivudals becoming susceptible again\n", + " edge(V, S, rate = φ * V),\n", + " ]\n", + " )\n", + "\n", + "\n", + "sirv_ipm = construct_ipm()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Low Mu" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.062s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sirv_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.45,\n", + " 'gamma': 0.25,\n", + " 'theta': 0.025,\n", + " 'phi': 0.01,\n", + " 'mu': 0.005,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## High Mu" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.050s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sirv_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.45,\n", + " 'gamma': 0.25,\n", + " 'theta': 0.025,\n", + " 'phi': 0.01,\n", + " 'mu': 0.05,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2015-01-01 to 2015-05-31 (150 days)\n", + "• 1 geo nodes\n", + "|####################| 100% \n", + "Runtime: 0.050s\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from functools import partial\n", + "\n", + "from epymorph.initializer import single_location\n", + "\n", + "sim = StandardSimulation(\n", + " geo=geo_library['single_pop'](),\n", + " ipm=sirv_ipm,\n", + " mm=mm_library['no'](),\n", + " params={\n", + " 'beta': 0.45,\n", + " 'gamma': 0.25,\n", + " 'theta': 0.025,\n", + " 'phi': 0.01,\n", + " 'mu': 0.05,\n", + " },\n", + " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", + " initializer=partial(single_location, location=0, seed_size=10_000)\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " output = sim.run()\n", + "\n", + "plot_pop(output, pop_idx=0)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/devlog/2024-02-10IM.ipynb b/doc/devlog/2024-02-10IM.ipynb new file mode 100644 index 00000000..6f2028ca --- /dev/null +++ b/doc/devlog/2024-02-10IM.ipynb @@ -0,0 +1,24 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.12.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/devlog/img/SIR-model.png b/doc/devlog/img/SIR-model.png new file mode 100644 index 0000000000000000000000000000000000000000..ea8e915b4c57bbe26a492195ba2e1a4234266865 GIT binary patch literal 5082 zcmeHLXHXMZw2q=;Szr+3etpN z0wfR!u|WhOp(7?CNDv4RFoYUNcyZpZ_h#Pv^ZxC;A9wDYJ7?}W_nv#dIp2qJfI=h= zpEwKv03>X#SULd!dy4^pJz@tBh*n}8NsmO+9)uI*G5}3cVvCG@0hg{`0st`CM|QmT zi|j+;S8gHz06DdvV~>r~?>_(l8Muw*CFfXA4kJ1I$y)JSt`u2TDPVrMJW~B$c}*GA z`TWV|iqXBoi%xbsHpZz+_q)9OtTnY<_h|_U)d8I)=C0T3?giSviQ4<;i_wcTRp(0% zP=(M-i|=k~JmgGf1k8cxVJntr=s4u>bh%*3we)7Iqm~g6yCL1wa9Si)xD9moXd8#nw_n+!%qMh0Hl%EKL+P=*ZQ^C6{! z2!i0;N6}{Gh>7;N@q?VJadE8%>R)?{!ghOuBvV9QvQtITr=^xSZ^$&8GXUw>$xuGiiqQsSM(4FZ|Fk*bv`ay@(UN$n$_y!3k(+DS?w!Z3> zPh&Yq7mF_vVMYt+>hXLIE-+ZLJ?O7qArg0Fe;F40huQWxwTs@0DEA^IMQ}Ui$>$o{ zb4?E)JAsJb#cAiC(3Lkfj;l_kh^RqIc@C+>@SC`c*V|LsF%h()7IXcFLCW2@TzIEfZWd{Jd zeWhn^pd1o8KYUgZm2Uv|TwP|GTW2VoGJEkhe@JU?r5nsm53nYM7zp{EAyj=EThYeU zV^&NVEXRu>k2h;Me}lwWq^{+swUF3D&Le1hCx?TCNcLd(?c1}I;_*+~RMQRj4~io{ zzI{*>cHCX37KOdrhLcy~NU2{#@NUZ`6R)MD2jbpBGrqA3eC`Bm3c80CTs%)yNwsOB zTcfOdZ#J3e?=*kAq<+Q4BWlDGVqM_Y67Kzr68QWB3B}W9F94z^;E^!&hS=a~{@Mh+ z^=)wRIFgmt$oHpJjGoKLakIs9Bd=ZbFGH}QG+gWkBc_pvG@dO&`1BR%Nx%c|n^eVg>pZ`p zt z$#L`DlEHTki|6U9{9;u3TO}jL!dYqK+pD+x$vG6sTWi^c9rAx@`nR``*TNv{88Qzu zvQSSg8t)oRt?k~ad;ET-94JuNhfmPw3$F>&#-5&Y(RWXIl#JN>)c|2sWs6tXTuYcL zdEK}S5357b&;-4|m_hXK{l6BA&sAK51h~2RuJZFvwB#}gl{8MuY9G-!)HMU#Si0Wewlq?({C-TLGG z5yjD!*EKb$YxbdhmiXbjhQulv-_`n|==v(+Bszaf(e?vS<0bF!@4{QlEyfyI-O+AC zoOBR3p}ZXaEy*KAvXY&8<*}^}@q#CEZRCL$$dJ=C^q*h09$fibSPT2ZVuoRiiIS~W zRP2>h%Dn+Zpj|?|qe&uft{PkpUnH#82dtWw|7OihOzutK3l)(6OjU$WXQ%G4?UU0Q zkepzND*6g(jE-+uTPSmQK2*ODHy{D3zd#!|IulmhOm8@E7RQ) z=FeT+6DOI6KvgtzQQ1LN=0bO(w=53AGIOv>3ILdXqQ;P_Y&Q(u#oQMq|JhBKJ=l&6D1fOw-R(nV$#sUo=IQJNGI5Y zm+Z!kCtaxv{$1~z*CKjrIwS5xY*c%ZH2mIT$oSlzlOX-k#dV1W&#wafT9KvUi?NKhg ze-^Zq(>%^A947Yw6IH|9-)K$ET>{m_d$+HC1^Rp_9OpC>VmtVJbyK5_-ez52di6t} zzND;t+-*j3Z>FB3(mmT~d&+@j9h6%o{^&!eVrZjS|0Pk1o&wxejK2^G zs=ebMV#06F=N9v(suwW_kPkakJhw8vx+GleP&c;;e+o|4Z!zd}Qn~MsvaWW9?JUc; zmw~@fB#bFg{yXbRq*Du44Fxp{y^_%q7N!(2QWwj9C0_pW)cHcTyV6r8kQu((n8cyC z_)R|o*HHfkZxpa2mSuRp-}zd}UMWj3#i%3ms@e+2#9V_Y2guo3ZAJd#W%rI2A45|Z ztm&Ox8`G6nc(wVZ*BK4T!O?Z}(ams#hdl{Y(oiV-n6gw-{1;PhL9Q=Lyb^g%+Yo;t zy}!2lChdLt#%!h<=#2a$iw@|-(+HX3IyjQKj)Rio3#yxf$i zH<-t-X`AaD8EsEYp=6*`|MdOHv0ZQbl!#b(rjwRgul2O)Ox5_e@+ixoCrCWxqfU}a z^8yy*|EzC!3?}Or!Ocs7GM7blu1c_?`a@_>+$N%}h9-9&h6WXa`?LCoz2@Ydqz zmn%4N#ede;T<%E6?`AqW7D@H%vRt2ru7B;KG!lvoNxzEu5fcjgLF7q~TYr?+(z-}0h#hE-g(e$ zRYgF|e_~#~E6lA89o^=m6`q!qPZEwI=e2F)OK>|3tjc}6Df(lL!5ha6@U?P z-62&LMLycRyW{(PHi+A?bKQ_kPQiEy!?#{8$uo{#516ezzbokG*|Jt@TQMuywCMW2 z)^anPAmVy&fs?dqWkZj|w5RzR7F@|47$ssfDx2WWf@tY@brf%gr8H zd5FpG?P2uiQdg3}R1+LBE{}b9_X9N2DYlDoT=xJxZN6tv{X}?DMs;;6LVOiPb)jTM z4e0Ti>$mJQf}-azh=$F1fgXscS^9wXaw+F*ME9dT5l*FM66v4i*9_J86336@cecM) zn`6NmKxE>^82)8MO+~JP$r}kB?WiY%Tq5)rwtJUXlGRk{>>9*hyjqMNdv5 z;{)9juUc~YuCd;!r^7u@8on@PH|d_CncYrHOY_-Y=YZf7?I9`aKl@ryQ+`xYf3bCm z@vZSYyJvG}T20!8f|4+Z*A24oWv@4wQrO4LU?zHL4<@7wAMS!D+|Qf2x*kpPyI$Hd zokM@HYwPL<#V6kfS1GgiP5QD@%{m?A2IPocGz*9Mf9x+iCDDz*b_p`agMGP6M^|cM-OZIpB$;`t=%>2Hg2l#Lh s6!=Uegp~P4{A;=OzgP8vecTm0-*y1Ec-d7;q{jhlte}?Y%eVgd4}W)Y$^ZZW literal 0 HcmV?d00001 diff --git a/doc/devlog/img/SIRV-1-model.png b/doc/devlog/img/SIRV-1-model.png new file mode 100644 index 0000000000000000000000000000000000000000..553122b7f29738f0905f3adf9d548fbab394b6ff GIT binary patch literal 8749 zcmdUVcU05c_UBi8AT0t4 z2oj{%5EYV02Pu&fkOV>}bOHo2xo_Ug`px{-tl!Lf_cv?ikF2b7zI*L+&TeP#&py$A zSi%ncF8@0K00+#jUbz7PyBPqm3-{Yz;f!2WuC4HIm+uYOWq{PKI3*nX;%Q`I1OUYe zqWn9*3dj5IUv=~a0O{j@{&tz&IJN))N4}a}F}fM#I>$Va*y~Q7Tm%JQeqh_8ft9ZD z8kglg$=rXrY4U{U_2)*Bjqi4^oRoakY$ke6Qp-r|>)F|;^rI>ol4LX1ZuZ=>hBTYY z;paS}H*|+%r_$owykU>yk@Lg2ouioZ-&z{ZmQE}?B8NHz{W$hz4z_-)0}rh=M_3B? zwKZqZe+B?P5gWAu;Ft<&7w|U;>;V9XjzR*!)ho_>fJ-VYc>p*hAw2K1sH(ldqbq+6 zsf)aC3D{?HzLwi=S{5h+55Yp7^f`7bMQXQYe9F;_U#rNWt{UCAapRCCdF4jH6`X&M zHOwS5G&JCs!qObQy~q>;cZz)CR0RO*U|| zsKoba;TlrVf`OS7X@-c|a+XV75Ef#Lv$3@u7Xjm1g`YlpuSIAxcgh*sa|Z~2@j3r< zr1!6IT{Ya?8WAYlJ7Y~g!YPKSQ-2>GmPO*v9VKl}{|dhQ^RsNSKo^5@*4};`dj-J#yPoFZ3cg;K}KtGdf6!&R*OoYlc;d)qiNKO(t2$Ojdohdb01H50lr zyk4)fxiTfGmUjPgoZ`iE86itevl*7GS1DDazQ(NYsi3G7`gG;?0(0SR58uz!89O}T zwiIJuV&)~#-A;*6L0E9xPc4oW$xz8QngnZ`*Awwq&78TBST>C+0aKI^l|CKy(o*+? zX`HNtmHy(D01Oy+RGB=1EA}!D_>n~@4*5P-wcbB_Q1?-LZBFI|$8Ii~{k;hs_=@6V z`6nY|aRV(9P|DAcUi-bpq}1d_fnHdf*QMv=rNIBOH^VESDv(kt~uzx z7Hn?tt13!x-Jy$j`MfUA5^xzlJ;1{Fc}dRElW6CzmF3{AqTT|xop+_#8@a1laH!mp zt`e3^tmltw!a6bxvdxn;`mZ;#sIiF8k9J|(FHRhuV1>>Qc)pOh@7=62gyBJ#(uNEC zAF_t?B^R{yhIp+3NpY7%I!`dP4ug?3zq&vV(lZ|3N=sCt<>-F~@kUwl3vH!#i zDh{<@X;86Ef!!7S5`nUH+^_h+$XVClPXCjePY>qg&_1Ob6HeWK3<(W{^hWD0gL&D| zRw`*{CcFQrWt=F~-wmP~u2F6Opte5o)Q$1+@qTqObZ0SPamcsB9ag*krXxf(J% z_9}y|iQg~}D8o@paw?lJR2>MqLmYbkjNRd;kxP!<=}w-vx;F}W5!de-YLXS0BGhCv z2JID5_gw0v!xB5(NNZ+13l+l$Y@Z!^&Nx#s5PWQfnL(e&oy z$B&0kNYTYvb9Ecn^p|H+lD8Tht!;kfbAMDV)o*}vHst5T-jOwKiRmM2g4hEo^J%(+ zDZ_@O<=XI8*%wY?4&}Qu84^p5SQt7Ga!v5qsqYZvC#!5D<-QKCM$!iVL1H;vac3g*-}Ar`GL1TbA4sT*%e&dL1EvAa-jsSZOe zckll~6LFh1K!#pJs04`i!#3<2>|OkAM-jGLYs{?~<(PoVXDV)Q2DH_&)MKvu$*%(-p?G7p+rIn-*S~I7B|ITlIYT)q!$z8}#8kWX0IrrE zZ0#IOPYIfvn*|pJ%@zL&_Wf#twd|*hcC_G?>>>K5Ry-sASaA}<9NB?KJzV2W6>Fpp z^lnzo*;LcxTn-kEi;o1i(-E^)a1DL8K-aCQsvNow6a?tXVh<>_rTT+?gB;U*sY4F+ zVdf$4;3F3@F$q7GzNR>6ZD;Xvi!`DRocVQWP?K&&BPtSQgDr;EI#Yu3@0bU`8ed1O z7H?(_vZtSqW4|v<72kumtcCj*>oYpXU**CQQ29--9sIWwc}=zJ+MRp*EHDr6xSS(v zr0%*Q!RXAala3`-okh2p_;UpYYGKPm?BWMqS-k!ZJ31&M=x?g~^|dPWA6UeZ5us~5 z4<|RKIOVXtW~c$n_$lIR+W2DX2vlZO(*sU{E1jAMF=#eS#EorMg9Ccz7JF*bc43;9 zDb5G2Ohzt{{pe*HL8XxT^Y33Rh&)m`LdrZEe8;3U_^$btq9XdoCgEO94J;fQk!Xe-yvZ#l;#e`cUf3x5b>iT zi=Q(OT>)dpbH@ak8N6>Y+YeFn)IQ&iPkw{u*_?L(u z3yiOCr6Nr?4p<~b^HHb~6uJZDSg9&Kj)vl|wRCLplDV|R5O}TrFOO7INtwT)g15(m zrbj`Id01aWLu7l5xw{ini9ykCuXZ!?+iErtDy=nsH2m3c`;kz@(3#%w z(tf8t%_wf%=>+y>nxdzx?s1QH{DnU9!oUu7ZEyy$`u&W=gjoDbC-0dj34~~F^*^_H zRPP-u?b%37k!QUZJhm4qE0Yw$9(GuN*v%Z&^ZVIb{9x4pJQ}Cme_W-AzIuJ;enJ)SmtL2e%V zzcHaG*Vy&l(b34sZ`TUgp2ADePGC3)Z@kM@{38yEBb7~$~)xp7mu6Ew{+m5oS$y?NOZa>GOF zK2PU^Y;>~AZ_7~q=dp86Me(Dd%bDck88t}fxB>T~*}l3h>5$s{!M`2rIdd|f2J3K; z7sVGZ_fKhC`{IlnkN0AC#JCUkiX9dPgDwH8eXridclIG`S>W)|2wdR6%tIZq?b{j^ z9fk3Zv37L6rjFFoa;Z$?v_b#0?%)&dQJJ*iuhJofzQP6kuDM^I1r_@lwTUG~pj^w3 zpm19uTMm_0fuq3(? zYH$BCJS@p)D@DuaOQ2VpK@hiM9yzu2%+B>3z|Ge>snJZn#T@foBKJdM~ zvWN;5p-(^DDd*WhhNy7YSS8KcSt-!$&gD8~P5Kgi?u$r+;`cKOSNxDuPwxeMI&KGj zfSF%=B0E&%?NK!A7yKp)iG7Hy?6 z3p3}Ukdx0U8V%Smnnl8F5cV4~;d=Bb{4;#uPr4hQN(}RKs#Bf_Rm&khFBsvkws|H| zC#OW+n1ayI!Qnm(CYm9@xD5HWEnM)t=7LsP=QqhT!cyjanCFph8>zU8U*QE}QwnU% z_GUa$ec$ZU7qS7PQBkkfP1=?>%rASGt`KEk<=ze4<8#^B7^bzBlkC6Q0`_!vOiT+2 zNIM@AlotGe$ZM>^u{SPg?HxL+r<#ZkJh}1Ab#cQPh2e?|5Oj2CxN&;zMW9d_VT&n15eNJ0&=5X3$O%C~i2H5Pd?N z6e9wwJeVIDdRn7qZjm?Fd=Y${Lh&Erh`(%VF{m7I1fywt7KsU(F-Xgimk#X}KWFTv z+(B(QYYqG0_3x*a4&ELKtx_>{mbdn0jwLI-!fsT5mmj#5L`y?CuQa!`WDE1#fd)+V zyLZPbgq3rwjApyAau%l4Sx5%S8ctcRFBa)QLX~8QRrwHBi};o8-Y~BUwLZTshB9O2 z@u%S4G4&5sVEKq)IZchi_}7NI9?TU(?2c0PV?k0`^M9?k1324WwT5KqT(axy4O1TrL54Y^cH8i$oWVbH zAtA`{0$%oSFoq4IR^{UV8DJRu2Tnm9O``DKThsM)@(T*sW!;u79w=g0KX(JVXE0vB{AKXTzZc&BW&Gw}*ua3dGbTO-86TzL zQq#zb)N%JM9IU(dK=CNz!9rXhvr z0`+t_MJTV7dqxe-8`ZEYHxu-r*HUr-;OASfhN@vjs}U$TVpUH?Rd6nlS6P#6kdGO? zHKhStA>6TN%2;vzwqZ@xz1HcqEk+N;mzxet?C|PAVf3CHwXpHKpURqwM8|0! zFs!-X7Mf(}jtvtXQQ-237S`*Xt+LRP)A8+4!>uq~#27D`{Bg%cnzPxw{5RH>%gX>DmPmsv^rd(c-dE#oJIp~S zJ`z&-@Sc`woL3rr#4ios`f~_z&GRENrQGa5zf;i?Iu`LQz73nNW>`}>j=-Zm`3G2= zyoG=aWbm6tPh1+H8Hh5#%?C1dZZ+pQuDq?sc~R!lKnT^Ikw`obzk}`nVUgJ z5!OMvef$f7-IQ~CXO}{69Fm%_9YcfSYUVV=r~A$eI@%WdIA2Fe!*IDuZ3wNvynxL^ z{SN%Rbnj`^@Zr@#Vhq}L=K0Ns!{gR+{)^j@srbx)rVZ11hW58)!Xq{vh$Dw{;AVi&{ zDtBx_xmGoBiZMZdQDoofB&tgL#D?~inSc8c4fY-Wnuq&P-rXa#!Kt*6)>rGkwVWahn{U#h)oM*^7k~TCBe~Eqz2$ ziZ1Z+ZdL5nIf-^S`f1lANS7*BiFpn2eOuhrpR0{Uj7wns#(Bw3RUtKo9Ju!Bc#Vrt z4~o{wd1q}M)0LC@2z%y979W#n+EBL-e8=_5IK%XccYut^Pf(3EIZv0*Q*RNE?n!XhDYMj@CUd{-y|es@cl?h??rYpku-7k4 zjoixqvgs|bkLykw>1bBghRKf;*}sEMONyG(CySUe{`ldk{cD1;C;Xj7?1rs>HQh3< z`EkF#kl8Vkw@%F~tN3sm5m-Z81B(}yjbOE%M=ZHFxLu+WtOJ|N9D>@`Fac+xr*X>B zX5$8kHcDLlE`wni*oxlK_6w&3w$d=lx-s~6&#Xgtt*&w%{>jX;Q0YfV-mn_#Ph=8p zGrZgF#}=cpwLq0dI3_Zqw&qk;=uh!{@$%kG?SvbI{kY{WVYn?>%mrL;D}O^^8>TiR2@x? zdL9cU4ZQWm3iGS~gx1WzaJBz$_J%wXw%753K*)g3)>a7cXwA~Ol%5f~)-MY|Iq0wb zK=ij}G(mULeA`dxgMhcm(a1FiZ*T9>fX=r@;SOQ^MY<@xuxW&dcivef5D45qi5!GP z&HfA*`zn``yJq_pFP!}|nI(}(XBnsQX~d2{sfT+$*oamF0QI9eVkgl}&DzyfxxBnQ zyfkmNwzR`g&+encb0zJm5ei;^u~Cvcgf1#6SxW!57f|F$%fnXkubg;F;5*zkJ=Z zaMvSCm~$!o)*xk|z7M$Md5qMrxpBTn55JUE`sesKsUM@m^s|B7bBjC(ye&P%n62ci zLBd#)MD@7kEqKzaS5h-l<^lYUZ8I3 zLwp7fM}oqF0&eP0&&-rc0H5chh3z#E!>JP87VlM56EJs@wCj<9DoOkWr^@xechZgv zC&{do{~%BQ3joIdH|%{jeS|4xyjLvl@kWvLI_-S_3JF46Dk!BNP&`x#t<>bZAy#WVUc6 zWhZ51>EZ{XTp~^jxHQrEKh#mS1$OS|MLJ|CJZew}ZdmdkHKK0vfml||GTN(#RI}xd zWyBQs`}Y<#W(hk*5%39m1A^93M2Kk+4fMNUYirvjY)<7B6?J$3KtPcV%^!yydkza2 zs%nR=Fdj&_RPnQM&Jc`A++31^Ar2F#tX<$8Tc0miJY5sRyA(FGOIY~b#`xz~)$eT1 zly>dRe1C6Vwnijv)H4k@eNGrcgP7jOJ#_y@nv^~DnVEJtcHKPeusGaMeVVJFl#THo zFuL11+lw7n)0>wL5r(xNPU$B}gD-`){-eep85uwGAm(^N2`P@20EN;=gua?vbwgEquu)>oBb$1%fyuWgnjhO z&ZQv3gHJ6%Z-mk%3m)39VJGRdaN<%iSSZ+|LYD=p8)&C2Zz|FE6O7g>_5!*`ux&dV zpWmue)D=7}w=Yxmh(CV=I^PK0--dDF0}AEW5&ytjN$R~JWG^t8HY@$$*L5&vYE@I#hGcz+3vqoDli#$D0j_hGDJYfJ(t0s&>Ase2Bro8P=Vq& zxX%W*k3YI@=MMn6B9gp*peOY zV%lY))RzMa9yedGNGMNFvoxQ$UpzIWfANc+tZ;G0M*Os4JMJj-CH1K?A?pa`)$_PS z?>MID=J4=%Vv^D1QS~Pqv>e(gqz6?}cIMLJUTE$z0y*Q)$+xB30}p3jxXZx`0DrKE zcZ#zB09i8vY@NH32Trx~G`KW!eqeY1 zKmkatjvsl3I0-b`@yiY?Us@p?ta=xypr?Q4EO;V*GCZliCWaV#9W(Bda{d#>8Nkgr z57=UP$dy`LQ5JaXWRHhNt@JBrD}iAfd6d&k*u^YNY0?Hw6-X7231;~ivlkoTflA#v_oyM_s3mlle`mnfK<5%*3V+KWSgXc z=cmj{r|3F-Kv%pz%e{Wu&V(mpI8pEkcFr?CLU~VHGT(;53(WtTkVM9r;cSPy!EK{P zdi?C1X9Ox;45z3G(HQ|%gG83D9DSCbSDrh%Q?Yf*%&Y)E$H_MiF(VyA$Z%DB7>OZ> z^g$8iSY)BBY)`oi0u!5p5sCe+h4>m-C$C(dJ#S%`?Mz8mI_9-7m%a!%y^Vow_p+`S z?YXD)jJ?l8f@41fQ_O{U{GEFjS!BIIBRQ0W1<$@1kpmK!c38;lhLL%^kj5$b_TDMM z5PaDOq$$vq3@&N0dP=w!-{@sl7Kd&0Fm!FHRxMG?;?@vz6x7*G64bED2U4{`e|@Wb z1GdhhVJkB2yCTx<-&$fiNUDvv&*8Kk?ROWj%q^^-t)SX#RYmvaA$1P@kl$s2wWih_ zu~V%Xr>$Evd3dDFQ1fUZA^%rB@i6wq{>`#*;w0x@d^8nXE4spF(Fcb0wld&@+peq0 z*OEr7%ixvGp|rFwS2}SOCD&2fy)xp)b_;ch7yU|HVLmB+mP?Dq#5s;wbQT zt&W)7ZS)cT8}G|hwi~9VrY&s1+odi!Ok!zy!-bh=(^vAIza{H;La0xF*jQR}Yw!14 z7B??Oekx+8(|?WF?yPt`-*qtF>$Wq#Grr2NaF;jT;juC45H!jU z8V%g2U&J~e4m{XPQZhn6L zS@iOl5oG%Xb+wh@4L1kpn*q+Zo1BkW)SihO85uzox-$2inbuSAm(60p(;w$7u7ABM z;K+-lr6b3eol<=u+BQ;?ldORL^6#?eBqrrl!Vjosl>7%f<9w}ax-5XKFKg6;fEs~! zVVj+`t%vJ~W5Cl}QWn>*1?3+^2{_dagEl7XWdLB_An$qVaUN-(e~e`laIly<2IN&8 z=Y9Ed{c0!Y{KJ_9!W0kibo;Eub+e$(*^TK&0bJiN7fP&Aa|rq%8h=`9T*8^03vMDR zeng@FdZ9_fYI)c?+%R-=b8Dinl+yT%wSGQ5l3!ncY35m<-JoNn zT5s~F!p39XTBlgw89oq4td3$(6|T4i)wk{oJ(&X^>@~y@Yp1=n!ayHwS!QUp9L|Va zXD9Ti{E7}4{m--Rw?)%_y2jWIE>{+g3ylQO%a#K)jl}@qdbIxkc>Gwwd+}ej`*#wW zNkhZFunDx6SeI^Rs_f!df(bICxOQj`e`K=Oh2*XlGa*r)qGO*lDm-Ja?=nT>DU%zo5TW+Ruq zm^979-9h4V5xNh3o(FmntL7}uyNG|}e6idUPd(M+ZEi#~$DlaOXrVX5sY!_6f7p<{ zg>NLPH7h{d2T@9~@N$U8N|C&x&zEv;+2camK|X7>GvUfme3K?2R??+CmYXzWWj^2k z>eCZKMPsWthf}wPc9j;tdDa<9({t!$0gD#UUW!_CSgD9Ku1qR9^xo)isei43!3i68 zOP{yr=F-{Hzin;Zu{GOPP+WW-tzfXJBZ@k_IOFkS=WQKgA%Mtxd+^~5C%@)zYw-nl~iTE7l-UsX-bf~ttZ z-KzIg7R}(Tp9FLH8(3s%Vw+w%3dxA93&j$G=}D%L35cqWpBM9dZ&i}sn~3s%vyBXu z%(bOjTwKW3<(imj9bWrA;$g^K|m>)<;b!2JcGy^b4RwG3+goJ>fFJ( zR?6U(?hnI;@&*Z0rO@PkvGB85qrB+96pIf=E~eIiQIeE$%r}e=qr{cq&s=n+$#J4o zTM)sJXi8Cjb%8j`$14vXKHMJIpkSDE3<(6!1^Y?zFeY3rH)J7`!0uL)U0)jN+Sv>1 zt%4KcI8n1JLPu7V;^Stt&R?K(7Bysmhq_}koYJ^7-S`A@g0bs8|$^-@FbETg}`QeXw*laqbU#8)ekEsXz zTUK`Vju4qQ;uFUweY=JLua>>pZpDxc$Mmpo&n13cCqJm}3(ZgR>z6BnUB-DT<|>@A zJW5a}Io;KARK3k;P$$$6p=yQ4hb-pUHiu4nSftHmDgG{-n)~?f;3QXSo9obUdb^Ob z?zvDu&A6&nZrSD2vW3R#|-wr$ggw-aos`liCN-9J&$)Bq%SrtWy?QK@p?Dtq)lewFIs#m z4R+Lf|MA%rLSsc*($LWDiDz{S*)~SR%?b7UHov8|KhSfm-)LBkZ;Yr-O$!TJoM0D6 ze0&Sp;#}9hApRj4US6lU;Xt}phEzg_Lc_|!?;G@F)x$=&8EC~Qbn`96E|}?+^Oc1f z!wQ^CtQ74248nhpKxKSL@?-z3$Rit9e@LFJr5E>%wvej{fx`mwwx`4PYmg^Wll`29 zn>u4AU15{8(O37#0L6y5=G9N8s0y1IpqB}LT2X`{+wn{8v!2%E# z)b_1^;Lda$xYs7qzSmRhHYdcfu6|sf6;I0^?+m}NvyctN{t8xsC*1wn8cLjcO*hM> zT9CdDjKLUUj7?(vth1Jmx>MdGrsjbO7&d&h?O)OO-wPl`W=mRKp{7@ke=5|jWu8xO zpC6`SSM~`jjp#=jA$ScN(ga)M&IPA&b2n+T*Mffo&~oJt?$5L}>!usArID!u-VM8U zgYz9(ieV!GT5ATzhBbfqwa^wQdvDm^;l=gG}WrI!6b^%{k@{7wQEOd0Nko6k4{rb|_ak zk3sXx?G%6b5O3e=5Zt>ILb_8^Kdb8;JD?ZVOpW&qSuJv%beds=1Am0DvUN?Pvs~y~ zD}te4%50k+IwA_8Xet67<~rTo?fRukl?ZKBQ*v6BRl&n`!&NrEQ3=cG9Ur*lQ66_k z=FJVuyzTh9#p)Ckb(^J=1tAKrnr5_uL)_#Q1FoA+!z!SVVRuLQ`iD0T9_%NvB7VDL z=Dj~_IA2wWIQH|9N7iBlAI~Q6n!A?&>s%faq8ffkNFjZD#zv|{D8 zX*qO1;?o7}^dqlbrIXGLPrM{})k!hPsi!gl$HN8gnD`5}FRQhCvom11nO?gF5I!-_?o_uY5ub^6jWrq zYJD>~xj7+nlu)h5%bqi){jl6idv4XEV1LeE+kLugz9Mgn`o!qTL5or%-RWkhaK{@b zz~a`?6Ccw8p{-*5I@HMb;@Waf`$KWCoemkS%+6vwr#LS$)FTp^Y|>XJzkweaZon6L zgsWk;&;^9L2;cKnY0VH34=1D>>GZ{469ggq^EH|qf@|G|=ZaE>z;tWKlLPvws!Oo) zHT4P`v><#igW!}FSh~=WRy5lFhFx4p=C!s|VSmV%moEA|-+E>$ZvpLVqStyM)kEmn+ zijRN)KAW$XHsqe0C3eWs&y_hnTM0DY1ie}(#i8BOg`CKfp5c!TZtjO}1}}U$4_hf7 zbeTtQkNT91eiqd5x6`3aN|7ovM?2gk&3lN_DQw+kb&os)Pv$fPG-@EGhD^+L&R_zA zLS_{%4RHivHij)J(@xx6y(nz@cD<=QatrGj-yle;O{1Osydh=rG&!uq{9u~05$lEH z!zu|}CW>dPx4s-LBrl7i^%zxx@ZLn1DILmf30uGVi_w%$7dJ;8|HZNQGb>IPa>g0+ zQMCkcaY+qE>mOkQa>6bQrJ5;|PddU-?>J5P&DRa%X{tbwcm%8AL5MG8?5k5V(c2^W z0;hAMM*{qfPa7UBf3&;Pm9W6p?b3J2H;wcoF{HxB$S>-pvlCUdNObhee3bU$FAvG( z3C9o53NNVn1!as*NF@+PE~67K)vJfj`2&sF`YdOiLUi$6G4>Pt-yxPMrx-&{0;bCT zRAX3sgc@v>92CE{*ZCgeeUrf$t@Sr1sQac1;I++!>-^KDHkK?fW}i65%1hqsR$3fn zi!M~FztUBayX%4&;(8_XnH_{;Zlz|v*6tX48l~1{r|ml&Cj)Oe1I4XYP;Imy?Q}FZ zEJns|h)$n;th(wlUO?d$Gf#*Jn{*HA;*SYEq}Gd$yB!I5yE3;^;5XRTG@_V*9ak7w zZ49(*hS?oi3u0x94L+=?gL>g+dh~Xdnt~NXeCq6oEtdA_IT^QtHwwLA6pqQ{r|H7s zXG}gB4BO;0$$cS6sI@#YZ>z4kn*-WrP*5IE8n<*q-W68ebik`0Uu%kd=-U1>HX1(3 zxpQ|vA-b;SolT<19TECb>L15>^X@rL>2B=SZ4C5s?S`%noQKVFeNyey6Cw7|yP{1P z8}P0)<#p<1g9nT7*SAF_i+U5%n3VM-3M2&T*mQ`@CTw&^jwcT>5ao?m3F@sox?7Oj*ypO(40TjAgq^!MH?zbBpqGb4bM#Jav2e@k zw=b;{7Kl!$OxMza?QbbAOIx$BuP@kf0ysR6QU`v3nI)v$@-W3w7`~U>+URC*v$$J@ zux=Z)?*@C=`vSJ~gSzSf=A(k&Go54-6O{)9{Wo*OcA&BEwJK{qUS@&Vf`0@xA<~7aF#awA*KUkF zyrZ*|ZB6H7qxPW>N>+I~jQBwL#v&D^&<)SwM1QV%X^RD&?nghZDoaW7uG=%jqf-O%wh@{{mqe&`A+>`G&w%{@z}Dyv@D-UsocjU?tBAw*a1+1?ttA-}Z=%2-8YTxydwfPF%1#;Y>I>cIw~ZcrCExL;6iz(viuL zM#u)#H)*7seSrrM2d};Vh#-FNsqhWA_BJak%N9)O-)`C4+Sv*HPYgn>r=MS+N1p#L za=)MT8vaXdI?#3yo~u93cAo7< zaVO+kKV*L`Ll<5H@_kQL2TPp4ty81me*u$5S^f;q<@WUr2P<`7StVmReo0_Qt#5-PXzrnFpKT7>NA5 zf2>XGgy1-4OS4fz7&)Up{ANa@eM;m6DzYENJ-*5UJmoSK%89(iC)wg?6a1RbU(CxZ zdquxn(*Fb|R#25Z^xh{M3_8d;M@@?nY$e4kRw9g&(Ag^Q!>Bm#K14a6t9`4&87-&+ z^V4bUsBlP=LB%OY;b?kJyuH3w_MXXC^>Uqq&xr3u!mCUNIzGgCh}WsNC~tixT)NK3 zZi6cpJ(wQ*+3%gd9I>ptvAd%ACp?TnS*8x+Iuc{DYW;)%0D#7lgkxP3w&A9}yTxcR zIf|%2wR5az)+K4|^uAAfCy|I%qj;@9!#hH%t4p@@nn&v?wG0Wg zeNbT4wM5UH!Ks>@X7_uuYSyC|pX_hVlbXfVHuqb|WSi~Gq&rT|)>O5UyHKAlnHnO< zV#_tPm@xRIq2#skj+x0d(&0m9x zJyp@Tde%X*^ubF!_kT@%*u!P-N$y4r1B3R`b4$L*bG5~AeQrbH+I6if80TnlhoG6Bd4d?BH8haE&iN@N~M2<5*Yrz%3n} zQg!;7+pm`l-F7cEY<>TvlI0A|_Ojxu-m~U5?~TJ2Z5KbQHrYUla7+dk4QpL$Ij1Ai zjdTcJvJp6}rNeItRTmBMi*2F`O*!{g@pAk9)ufFH!omo|Nuai-2Ah4#mGBV(V#stU z=rGF@ACP{%NQ-%`awT=AKrxGeWuHX80Z+pVyMfdQ5>%+z?jXxG@O|CuiHO22laf@6jN1IoV%UK(o`!pQYXUJj&vpIkJsy}quld8c zjNNwW0Wg<>NV6nm4}lilW?##T?%XNU`*ZML3C5mf?Y#GL7Ne==c@7)Wx&>aM$@U&Q~95xZde{B1%P0I31Iu*6JB+XUWH7hB+m$c|qCccCF)u;BHJr zN`g7Yao>+rVd^$Cz3X|gwMKry0U4h7tsJig54|ZE_HY+-V0-(F&N=C+eII)&0Bl7p zJ&SmWoTjlT{%G=ab#V9eIzNtu4B+R%eAjv0(Nh{SeZCX zuXF7z6C7xyCVvRTBw4ju@hMc|aMW?`z!@=aYnoN+)7B+Cf1xgC!pd5>w0-#A`qF0% zXTT8w{h zN;u1wB7r2 zMgJCLH~{_PO7?#Rony?ELDXYNiZ|;u(!&AZhor@rt5fi7l%UFk>t(hTXVK%znJj}we5#wyT%)Z8j<4F=+iNt5gYuh%#aKak9U-1T z%)gpIcwdkl4-(B+t*oqI<&HHuy&nA@m~Mx#z2OccP|7p8>P;^2#Har=xg-_QnvgO% z0k?EOZIX5;JN%H|VP&pcJqxo63=9;x3o#kTH;x1PA;terdYy^7fy+|!&No7d(e5n&%B;c7@-YT;&9m=)gBejWKAruF}|pM(5wzgK~eKsOQ%j70g2+?@9) z?K`yHkvlko$vy$15(MjbrABi^Mn1flXZVNrl*8d2w--?F>yF@qdciQxZm8iVtpNFD~lv zn=cZR@Ub%CEfVG~TLbGDP#zuvy*2d@W0#$~aHYuK<-$`?lg(s9d8b#XQghS<`N~%? z)Go0`9bFSYa!fP@WrH&pn?Zy@*i z#j17V%>ypAMW0IWn{K%3@9z&e0(^dTv`f*GEA{qTE0f`gQkCyP(6!%U>gYub|JyDSO^>g-z|OiDM%dxndXUC0*xCeQn6XYOZz;)OY3Zko#aQ z`Y{YtsBho7g9X)`#(=!`ENtCEDUYjx`o<-#aO!6g=|JNews*YQ^3ytde*%jml`Qis z;P+pjGuH||8S5H7PaNhTRMexeS7=Eh@Z2Du^kg0o))Vz5B+#)exSU*Ye|4EVeKr2( zgy)*XZol5&01HkK5NL+O$^*HwA_%`nCm(HsBL1g8EUtIU95d|Aq-j3snHlw~8`J?o z&@}IPh9AsuZ)qtL%C~*)Vd+#BH<0I07jF|M8&?{frfEZB1;!v?h5m0ZQvP#=+W*s| zuU+*vfE03+mX#&$t&T3*zbyep)`6+1*H9MVqZIh4;FJCv?_bc9!}IrZwEs_m>g-vD a-qk0LjbrI2?}Ak|V0_igu>A79Xa5Z%iF$ni literal 0 HcmV?d00001 diff --git a/doc/devlog/img/SIRV-model.png b/doc/devlog/img/SIRV-model.png new file mode 100644 index 0000000000000000000000000000000000000000..b04bc4e59cb1f8d3d10f91741cbdd80c4c413e07 GIT binary patch literal 7882 zcmeHsX;4$y+vi0au|-@OL1b+=6cK5p2_O(`1tKb&%9gMQVc#PVc4EsYJ7~LrK|sS! z2oS=)MH>hT0gOl>Y(YYRgnbQ=?M=@+AEs(POij(drt1CIe7JS$KIh)&-gBPiJkRf! zY;6gVIwXGx001fTTPF7aU>^qBKL7xq zDamsa7v29Ha?3Fk0A$bqbBUSXJGTk|%C6=ne>{kES(=CodBvQVUsLG@S(jXkzBuqc z;r{(kCu5~`@?OK(rO8r8R?M7$ToWu_%QK{QV3#SM(V&fEvWkVNjQkcdJ_9x*( z>HVsw25MusAB5CSV0;4F)rAJxp&B6?B8hUZ5D>TK58d{=i{5 zYvG1e;Q%^_BoW*_?Pz6UfgHgvv`=Cq&QM0nkEDooD8R!k3`031axS*YM%>&}C!GxR ziwB$)!&iol4~nx|==|kwq!${k?QOZq9#Y@iTDaiy0XVUNu57BIcULKg#M(NoZg|&t zD<1b&L79NOynV8`=`05Es?76m-@c7hyWQmHUpzE4CaKyTF1?c4)hFN+;hXZ0%+vIV zs8`E*7Bbo8<>ir_iHL$bSyyO>yF8Xg>(;V}yz>U5^}(?W1$+RlW>2^ChRa|MQ!`4( zFsSz^Q42g<|ALt9FxZ95riKarvgcO@j6)`#Wwg1^zqaq{>R!pQIPr#u?q4Y!9vbr0 z_N^I2KaS(NC^ihZ9Mg^mgGq<687>mP$H8FIsVgc9b5<1yOLg(GBBi&*>sjBw^rA-g z-^$UM_1&th1i_U;qrKIxQKRHUsjx`$EnO@TO8eaoPq#mN$P*q}uObi@8=;|JFu z@n8q()DmX}cyL^?o3<~J-N-IpfoutKz_*=47HeyqH7971E_aF9ym7mH-SIfOUg^r$ z#z+rS(3)TCI%=uzoys%oTe}^ z(C_N3uU*MquCv()>NstX=@V!wp#uJ00hi3JY`?q=T}KA^@Z=jaL7nJfFVc6loPi=5 z=T4wo<}>#fbjP>9x!oY3Zj*&}`9ix~h)UdpiW`4c7w23`KHI**Z`@g34C#Bfv!-Fm z7^9i^t6$Rhy8cpS$9uYd1B>Bh2XMBs*XMO-n)~Q)!lyVGD^9>+@u>`h<(-iXvMzDA zZ_i)9|DC?}5#!diM3sv_Q8%eaQa%j3)a^#I2`I(;s3oj8QdQ)&kBnD`>Bok+o{1W) zNGB&=#|MPTkGv~4U-*u{@C_rK^6p%T=d|nvQ}o%T1vURYW;I5tuC=3>#R2K8VY>1_ z;{&GUStx9*T?R3f5X#ubCYo(&K{{s#l$RACiuaXnR<-MU8AXO3HnPUw(_1&VDhgT4 zSne3TQuxwM!0pM@`+H0BgSF$J#u%q|rQ4QC`-Em8mfBL|)Tx%!Y_Y{Ku&fq0s8+FKO9ftZF%jcnAK%dP71lmQishI7Q-3 ztIPr{n*UcaZQ}yzTL7E!rdy+XE>AnwtfF5fD7w#0i}$I4osZYRswmP{d8Fa}*Z-8p zov1qM2fr5{b-2~XkL=hE-Zp5BQ5R8aInbOU<2UULe`C+@u&30g z-#}!$YHSw>5@)DYP-RJ#CXFj90n5GTWG zevmlw&mw7scsGq)hnzmZAl0Yn7B1uM$y}v|8TYyc;k#c3glkW;bwj-jw@3btWOlI- zz60C%c!7)-FM~$RoHRqM711Jhw? z;>kfT%cS<*-QnOA7LnE}-2%7kmK45CWnSS=&+o4(!&T%PU#X1hM5+T_H*4>`n~cMr zHfuqqp#0@4(wh~JLFQKIPzBhzxrJVLOa6O^BK3wfb>W_jcmA7}0n zYF>tqE6w0YUolAGIHOXncf!B|cszXus&*SIbd~)}0y)8cM>(*NFC2KLXH*9X!{vWj zq=H9>kJ^!XIBW?GACrruHoDoxC~+tgq^de6;x1$ZjPmUaS00{HjN+a8Z4FGSK<_)P3moV%j(= zk@Rz$!uk#zY4Gc_i4Y4uOVUyrc<+#8_qq3qTKK9>9DK@D8`BZ7l0KJD)G1%sUza@5 z-2FK}qm&-!OpG;i(rye^9ABE(V?9A=`HmLgH@Aj_(9ZZ;L)m^86@=f4Uh`8gT*Sw( zJNUt$fQx4^GV92N6N$5$QA7H!DOmUqi?fVz6jAd{Wng4u*|w2pW|ZVg`W>sqSGkv} zL3ZRe&7dYWow50{hme#jr=6v{F})PE#mdf;{MzoSKK3ZF;goZ(Dv*y0*U@TrZt=0# z*J0O`X|(F8Mb9W3Gnc(o#F1AihoU^sPUCs!t7HYI*)G|qqzC4I=~Y%bS&|RddK3TL zsHCjF4gUSr)3qKI*-rR<)lM1j+;`%^E@1Z(QrG@o_|#5G1NXeR1J%M48(zY;zK-s1>7vOfDQ|Nf`!J;jmAno_wpT#b;_`#({; z{*Jm2w{?=gdEl0vkA_Hly?c0Tj+F7NCKld1INIEqr{tPhw`NC#vn)qvGiMNcK}3+UAKr!zBx5mu)G#60dFA zqa63QWcw5~wuQs)qMCO4(-^~eaeD+5|3B1QSRbKT^t4e>ng#DbRFFxL)bVEZg)T#UELBUL{rZ`ztK&c;^5 zvzq-VK@;%reOUp!QZ64$tmRAI8C`Ur6A0~a600sMp9zGpDGYxEJ{P`H+VslujI0bV1Eut^VH|ww(ZrI@ENH=#;_(iP2F@l zRozTfTC?sW-A{)Ma{rfhRqb|efA+ND?+?eC4<{#rg3{9MxB68dQ_uZxx?2%W;=y?G zeJ7W67Lq~sy4Cke?S9I1OwVqB!yt=LynC*KwJFns4w9zq&E^DqK??nZd=BS8_Yr)t zWP(m#MoqEg&C?aECz;fk<)#Y?by7tBQZStTy-dr!GiiRX#0oS967~D~w1ZG8l^O=~ zvLKwTVEz4K4}E3FC(wUAl{+3fklwP=KBlk_xK5J51OGFQxHM>Fsc3j9C=PRlgW3=H7-8xx zpeIu+v1!W*Bof25G)X;p$J}Xjf$tE>aHPb2+``WX(+1`Ffi_O4_0tsi*ZIb9Gv}~* z*m0Q)%ph)6D*99dskEo6^R(?t402&u3|Ksasgr^>Jd8cu9BmT@j)7jTXwoLRB7J!? z0w#V{aGJ79!)y86u(;x{i*4ioE!XnUc2n?)vDR-qnatGLfD2wWjbU`%8HvH2H-*@U zis-N~C%qz2j5zSI@;r3xT{wO!+wpmPVCXyOaXvEMT$b?=BB$Hs4ld=J=*K?RZp zzF@PeG;`@o1siknUb-x6bm}-B;TGhe8|>RU{+lFFeJ7a;nqxX__Kr{3yrvZRcaXh` zY!Fb>Wx{wW2(giG9RL z%p!rMv|%GHpj!PY)Y*Qwrb z0k(qQI$8zexbfo>zLoM=yi!=xZ^aWKZijnZb*7fhwW4=el!8r3O68cE)}Fm)@Y)Xz zkp^>-hO@!RySrE*Ag(3Qgx{fbE%t+;z3hl{bocY#pyWh$mHetps}0wBJc{;QZzh-k z|Mq;@1~GBw$04Bhkm%22D{qEWPK61!4 zSdw1BrDXrk{88$k?MLNe*E45tL@X>c?gJM0Ve0x=$C&#o$xP;=Tuk?(Q*qF?;7NYx zPD?0jH{lN(QH2q;_wQ&J-0Y*(Oc!2Ur)M3eh@UC z-|gNQ=ru+$Na;B)M*-{0B4nazkBwbeQ9<$6=4k})2e!7Rfq{X1rve@#9xRL$L`8|d z5y&?Ju50-=Xc5C9*m*h;Mb0(QHSi1hZUgB`)ogEMwU>#IL5sCRfc0IG%4iV`SrD-@ zNuz9QKx;2%7;TR%9t7S;>KVP4Vea4Tl(r&g)Z<)<@lRxciy{ldXc^1(qn_eG%G+G3 z-J7G7DinW#X0u@l-u3u&2soi*fcv?$tc*76yASCo_SoIKL`O_UMn=PoWqu*|oP*e7 z%mt`4<=d9MbCwM7ktJp>3ixhW*WaGgJ>%BDTp*kk^?9BpI;W*o?|wFuir?u_@%l&P zRidNStr&XOP{`ZZQXxmP%Svh-|A$<(Ls(+O6?NdFmpE|{3WcK6M>9Bdl=1ecf7N2? zQYjYOYX$)McXN`cQVJjsNMU(lp^3<=@}W7&R7ZlBr*>g+dHHRTMEJ|xe?f2iKV>>_ zOiqL;G0&*LTL7AAkJQN#H0o&0tuICyak~QVfIK#Uf7DAeW8nmv`epLA8$% zWXJ6EUI~aPgC(N6Ohxfi9#>#bWYnyoBd3})I8eIF)eExT3`RReof9B(gmWU#Z1h4ggax@q_>FBw^J*C!N#t+js83JDy3=j+b5f&*h7<+0;v4Y07Q4V>sYr tiS6n?%;?zMyMJB%`mbl#oH~UPsLphm_;!m2BK{dLH?=gWyz%hKe*isOxElZf literal 0 HcmV?d00001 diff --git a/epymorph/model_pngs/sirh.png b/epymorph/model_pngs/sirh.png new file mode 100644 index 0000000000000000000000000000000000000000..ad739a0621d23589a2e8beab5958701dbe75e606 GIT binary patch literal 31947 zcmeFZ_dnME8$PU3l1du(C=CrO%3hU{tV&tgL`in`2w7Q4g^;93%E- zySRLhSMT@xbKmz5_v3N@0e7EweG1ogy|i zmnkSHN%;G~=1ur>;@Cbj{NE-+1vy!YHR6BIi;}`ADE3mw%bvR87&F%8WY;<8Hn}#$ zttCe)zV?LS^Am;xZBKZp+jfYb42&09=SRcv?U(kAXv*-8tOx8`r<=&9_U_|p8y>Ga zC@f#I(l%@f2VHqapU~&*UY^#DY}1ug*lZmkFEdv zvICB~F5}ty5&UUg4n1zAyr*Pk=^4W}+4&Q{xU~<3A89>Udu#cQf~;(+;I`o%#5-sX z>$=TdUGI6fIJK`OC9Rlw%rXT(d~pluzbldbMg9N!(WedK{=PZ>sFsLNSNZQX#?LOc za{YI;0xE~ccKvs`QCz#{1O9tW?XLg-WB$J_+S^jz|6<`+;^)uuWA@_j-o4A~viR22 z^trlvuc&BLeEh!pXOe+k7F<$N&thU&zkU0buC?c^f9;_=|E+j+m4K9#vVsB)U(xJN z6^Us|KU$7Ti`@PNlC@ZD;nJ^Y*SQqE!FRdcFN%uT(pp%?9-jRr`S0f2l>6VmUuG5)!;^ zhw3vNrwzZ<)Fi)ov*q+FPJxO(D=YGf(-Uq@0iIeGR@Rr<*^ghpK8(-s(ul7vdr|-2 zsaR@tc5xXQ9W}y5G=+$>Zhsmb{rU6feZ0K9=bHn#C4T=GkYS$Je=dwvU?=I+4*3{J8acsAyOeV$0dxnM4 z{Ycee88~{Dp8kJlvpYc*N*V;3_f$2I37}<&08NM>Ro4I)b{@Rskax6`!4-^ zNQ7VJc01FAf8ISNAUhzyx}7REHrBj7>t^M2Q<6&fvuDcY=H?IH?9z-p@%+r+BW7_P z2VB@wruT&&!l0B_#ke#&Cgx>IN?>DSBU8C3arcvxan{9q-a8xR6LBc}2y6dhy9m zh8g^#qD%w#|L;p=Q}I^qSX*1$SbO%Z%G>ht^5#9ovEv=NRPh3I>v;P2{4Z$;|GNp* z+x8zldjG`>PKs{lQ69xZyBeg|R{7p`Z;W06_ z4#hKUwI+h@B^(ri6{pXg+q7}x#(|-sOuLcGPk63XK0K(PQRsL)K0f|bsus4z#QUG6 z4in|Yam>m(;q2@jWF!?AIzMmU-qGPS6zf1S!xX&{B`XK7<(Tg~ zcyMr;fe#6@<rrlxd&lq?DLwgt<$Xk2K|%Dygark{efMnL!}sq6E+{Cp zGh#j6uq%MAuK$j?lGs{=}sCiT>hPssXDyJs-SCjeqKOKOl;iI z!9jS#h7Ia&#T=`{a@;x}9x>>-HnvLF4%#%fv{Zfi^yy^sQaPgC^!xT+J28Y!G~IW9 z?b_wJ(KN@<;s+0Ql$Dn|EsrFv)5tWbGk=ove9xXe)7>tU)4krb52K?Mu(}JKwzNGf zzl7UzEjh}|%S(AL@$TQTxp#py_bP34{-6!d>r50FW6ujpN`r`~m+#&M-@8XiCQq(C ztFEq25vw9Lq{LkkuYIeXZ}a5n>Zs29aFO!n=GTV!E`Di7kD0-Ia9a_^3%CkC( zNnMiDi!fYBhaKvSGb-Bxz zcOvcuElANNOVOJ7iM5iucI|5NDth{q`S))X`D8dUcQV+EN1(8{5G{hkTn; z)LHuUG&Pw50s>CG)s>a~wexS5q|rcB6%`ekcjVNG{8}I}A)_Pj%k1UnnPp~SDIc9< z?y^u$+Lha(WNyyAfB$}wSY@0?k+qP90 z3!us|H06UfbbIz(w>v2stGwbat(Ni_rPa{LC?GIU@VB`8ipb5IHxV9!5)!qGiz2#d z5s{IMi0(&R@iYr%k zBTgM9*yqRE&LH@WjEwLP&i(tD*x5~NY<8x#D7d<=WDV{7*k^?!fV4(&;Lst%Y%QXy z+1WipG<*5%IJoxCzllsNnQzoG`gD>zo2u8IuUCD%9B5$5e=7B+!akvtggtm5^xey1BW1 zZ)usSWU<__XU|znOTN0gy4|~X@1UnY=jJBKr5v*t7y0$;MO~-CJ@#X*#7go<*EtsH z{vI90=>`G`$uw<1PI~?B-C$0KMM8S|SI1N&&ZW;P?x%0x<{`3RMMXtWP*A$-k`2Ng z$taISv5)78lZ#SZMHE*$`m)Mq@+}-@2{ZKua$Qt zHq%Kd%;!AIDb#B2i>OO>_Vy2>qCTSl+@t2j^>Na) zA3Zlvy-rTvCoCL++anGs2S-v#2}g8Y<+oP~H*ehdIBu`1rdC-e+@pwnC?U_K;lLg^ zc(Ad({Q^RX0vPAYl`9V(KR$c?`oXo;k~N3>fq?-*K?At^!arY*9XN0x-Hl`q^o(#v zuq2!zV7YyPyn;gcxIIqDsne&|1HvGSD7$ROX{up!=qxn~l{|+GN}Q7F+S&tv{aCf> z@VJ$Gdyc84-|i54pP7ktA^2hC37=j)Ad7!+FabsT$fQZrr9Xpq4i38*8056IS>-}l zOULb5T5g${{iKp!Tz5?EZSQ=CsMo7MFW9yt;K{4r6o z=H3m!a7&D`_fxhpKt9+YFnDu`Q+=qhkfy>#i6o!yBPwRb-Q^;S4f zo;-;>H1$n^&l-WL&C780>eZEU>6Hz%lCwK}e0)kAICAGkTQ)Fw1^oPJXl7=%h{N&X zx#e~R1qJLT8xc=K-rKWLiPu{#aijv@^ zLoTG-wadsne@CsS5GnvNsd9(25sGkoyViDg3CHH4K!5+eTwH$OO$q&E!6g@noQAEzkl_Q>z zFkU7mB5CDPeC_E`(bJ1-T+OlUk-`adoGPUXo>Aga&F&Znlr+k06G1^i4tezWafZ{3 z2~qaT`}SgaabFK3BdgzBO$oYQ?CtFhfcfCz!?J?OVuc$w4glXl7V1;3PQj*_bO~fu1mRl=J$O^b+`Sa)bpQ!oX zyZ7M9lgenz;?KCe#BIM8f8-WdyuV(fk#!^N_??qdQr*Mait_UD85v{(Lz^73+e$9N@`gL=6|Zc|f}AkW9b)|06|HO->eT6Sx` z{>w19FCrt^-MN!-y@tMD!^TDch^1-11|X`c&x&6}1Z6hFx)Xop=a(@tNu(QymG*en z*mw!h4Rt%QxS0Jej-FycYE}R7O{S=k0zyKS#cm|W{$SzZ@$o^GwON(muWyTrx`rjd zk4)X9I1ujl{QPWZhc7*R`0()I!~Ch%ziOGxg*vi$Wg}`T0(Nm7=HWRRB7E{BQy0H# z2#2)Am}=zX$39j4eZ8gL2%E6jSjlnGpy1$FuU>6TYPxyP6O05%3CAW6ls>ph^V&6q zQ>RL^Jon+~?C0aNZ0|lB$iQcEB&XhO z8hM$U+cG@M&dO?RZXWdh{rj67UqGKxG=mo!KYfzL0(-8tOZ9i=+k#!vF*6eYDk>@p zagNO7S7EqMP!Kq=uDW_N>NWtUkwDZ9OG{H6@!{bcc(rvwSB#{~lU34!?Nl$$#f3$L zl}53v=<(ynk*vURL|o>%0WD`276hfF>XW4Aj`T~G_F3uYcC=*}QCZ}=RGv)4Pckzz z6KkOGgu4$J(iBk4({mj?pRQ}$Enq(F_w|92sk8;HGvLDKb#&OU7u>pqk)@@lHc?UG zB5=CuMf|Eyza(@Y<8{m^B!IloCT^1Ella*Rmn&x%0czpdN00an+KG$kd!eM|6p0fE!NJYZFYg%ZBLz7#>}?~;?LL#xhM zSfpmy2}AR#uUAI3lvh?35~HEzkgBbZ6`yvL0L%mJD4p)FI>O6)2zUvI=pnKdK3Oi5 z{U9f&*Fl9RSa*3PrB@(%{{EYxas}H8ojloRldq9$!3NF(zKZ0DyXP;CC|RnrT>KMJ zQv3Dm4zPr*oE&CvX^?N+Dv?RC=b&ibHG_uOEKn<4s)*B{1J>5ocoW+e9S4I94Pr~L zU%yTWAGNiLD3$i(x-r6eEJs=k7^Ca#yHXDd=in|;po1n#`uYrjp-dFlR*7&HY>@B< zXGA?cx2UeGTMxdr=aD(A!IJFEi7;u*m*Ec2MQe)X(u!D7mk%u4t;^B*C{Cp$j>N` zh$~TqE_f7CP%<Yg8p&6!AT@|TL8AG;{-G6DD zM*XuVPtE}s;}{VjSyi=MZ?#!Zr-#9>dfRyyLU`nsK{!<=O*%O_MHE@?-LaRG)3E)I z>fO{--gD>91qEk`i;GW_R^RFtJq6DKxJR~)%SpQiER0g!3E70mj}x7u9|{VNN7n(C zg*|#Cix4}$n)~kEHox*ys9{*J#Kc38y$FoW#}`^zc@B*2bA7!DmLCZ^A*Z!f0|7le zGGbt5^wLX5i(iTCW|z0<0QD4u=An@7EnxaO>!O@U&yCcYLeXO!+dJU~u zL01Sk+plO#6KI{n3&nhUJvNsK(B$HjSbDsYc*`lgrYS+*c}0oWR-T0 z2?(GDb=Azbd6jYCH!9#gA0GpuXi*gF@$qqF8RnYH;SV1I;29yb!4nfmmd$Ujg5#Rq zx&_f<|G|Sk&>=u}&V#Q`7S3$Pxq7RSQ8sK$LrcpAh6K#Q80*v5*Z1<(tG)#ilmTKt zP&fge8JU?4p`sJv56LeKNO7W=WC1KlO+zENDFEmVqD1~kVzh_{c_r&>>f5)(Mgn|5 z8_j5Zj9(Q{TCnegXqcYP4@OQ%YT4P@sNF<9hc>|?WX}IA4H|+)@sf!VwIvSptsigW zQ5dm~ATdsBs|%W0H|S7w4RD?zif00#ftmy9?xv^zgHnDOs*|Z{5*>R;XlPS+cRdPQ zw6LWKLMtmf`_i>*F2Q=QO05$d#sX@6lij|7ny=Gdbg}yRiP~ssax|@^9%+1o_VDhQ zc2XJ+0K#MAjDx?N6T26SUu3dT~QS z4lo1&Dq=r2M{XPyR@8a+FoB$KgOG&|ad9QxPU*7}30hrF?4IPc-vy)Z2U>XS8A^B$E!mJNv=|2;^H@N-!6J;xjK1gdG@CA zGl|b`3td#&i@h@|OEVy3+D+qvvZ+u0kr+Rj3x$J!;FKRedX!T_!nHl!FEHx2^D!Qt zSo;;k`Kzp~@0(wvGUxY)h%>UV>_2`y3|R$j9Nb35=$xTI6dEOQLP3TV_xDsvIpTz% zT;FuzfG`Qs#(2yv0y3GMU6yqm6j?CT5TH0Ap&y&MCqInxBJ$F;-U0G3mK-L!0w@h{ z)lxE49=41gL^{Ie)G+gQ@fgkCQ$!CF!|05+H+_$fE zkxU4xdD^`AM4-C8I8J~hM)_SHB+E5Ig5E!t*=8=WG!R~CL~#1*u>BIVU(ek0_5Cxs zMxMN)rbZ~nYfI8=elC+m5olN)J$7uVG1UDNLGJW^g>p#OGn6cz-41{R62l**xKdNH zLKC-CYnuA!Dx)g{&AilN?*{Z&_Kbb@qTjjGaBN8U6?#2r(b)8UTnEhXiN&(86xbJ~ z4Ef-_b^p2klD}fB`#hKcYCORgNuRcmak6nGCEL_)6XZ&2Dci`^P*l;e2y;loqN zz66a#FH1pJmmLJs6?7Fho`8Cl7K(zMaO)jN253oTFiY?)R80t30A#V&=7_b;+mmuM zhet=tN9>eInf3*21zq(VAQ3y6m;x#c^M_CNmfa#U)URJA1eH`#LF)N)KkZJ27~h?` z8p$~DP(UnnO0bhc7L&h!zX14y_&oBWryM$Ft;tLl#h-9yCZ_o0({SumLHOO1K@dO9~@{9j@0Y1{)&CAPUT38z1fporj^9-)P+gG*00JIQz zU9f(pkGe!P+x`2iL$tbY$brp&3>Z4ZErA1@$ZNABP2Yd~_}1S31=u-%?#DF*#>=9j z*ps(@F!l_A6i+q9kspD6G5D32>aES`g@e-7ne-EdoY0|waM2VSeK^;-dG}a=s{j)d z(^zMIIQkXq8Kfd_nwy`PC%b@DE*6xK#MgUL0PR;6d;FuzDvt_9rzCn6B|kR<#Y6K6 z$;>}6Fd;cP0H6?5Imly_YSX40H*fAkpK4{rmB<8P`{i2mZMmS(yZ|C~=yvi$O6o01 zT-D;H@0Uch(O@@`F8omDkuA72-`_)1haezdzLbsF0X?a>yGuceL%bOp8ZzQA^6=Dc z=3@KX%&gSSfoP6$+-V_<@`}I#F}82K_0cCi71;3a8djPfwqV=zVcE zaIr~xRkf_FEHWnMfRGS<_-9!|Lr$VpqT_;q(Y|UW(ZS0wR`Kamy7QdbMi=$BMgLEu#c;(M38+~zySM&WR4aup#TUdJC`K1^w zHOV=HALzkAl!w(IVZ-~pyhyNI0%zlJga2270prpk`XV|InZ&M}w_Ut=QAS0D7F3K? z#Of|_0AfTuTSiaT+X4;{Iz121b*K=yz%O6Eps@s<6p$jM%OdIh`-h+zXj@8J6wRq2 z3adgns*DA&)ThvRMenQ=86M3*Lc;NJvr!u1GQ~;Gf0=wxhlBmSwIuo#Q)nHaMHbvK zZqi>FEI7aQQA#d04Ob?A`SQ1*kT1y-!ACeIc$Z$Y7$iUQk_=-Zx^y^@T*PnwOw#0# z^qOeTVx{nA%JsH3lgRVbL}irLLz@fi2aSWT9UTyS)*+!m%*b?@)J+f^hgOl4m&b^x z($ZpviurTkb2t#9ub*G?>(~5b$??faVzHh*tM4oKgBt`YO9rYS*n38sxv`1KPk2NM zx+=f*qOXm$JqJY|p+R6ewErOZ2bVHILO93Z43QL-2MxLhQBm?}F|e_*LH0xM%TyZ; zy`R&L;HR9@(s7b5^XaAy>_5`<8lYucpCy3!$Fm&jDBDP55w21!EGz)^5D7OhK z4$$^cJQSW$7XS%x+&(-a0(tB?Iv+B7Weg1V>83HDrlEfR(^`aJc?M@sH?5_$^2~tN zKQ4_3V}U5IKO1hCnH>$4oM+Tq`N;q}CirAWP1Q_4#~M@u--aO?`y=XSOP^JD+GI>f z<1LX@gCK!Pub$wIsL@cC&R)qaEOc$RrxEr-C3rx9ja+1mYM$IqubM$l9-d&ZN9bm4 z`L;9qAFTKQkg8xX^yQ{kq*RA3r~q4oNhwn7pqL zOjHXZ@+p8r;Q3Z_q5d;ZlikR@WkNe)XaUH35E*&np4+XKRN@RidbImze?Qo_U~1pY z(s?B%;)}@ZkRlFd4~cAU(kLQ>p8P6N@tf z*-V*Ge(s5!Jo&i0Th~>J1I!=rhgmh5fOG)3Q%kN}w{N$pVsk(*1euJ|v_2-v`Wc~h zNJyA-m*2_P1~^6v28*OYzXR!nB{mu)8zmhb6TsJsK^yCZF5)~AJ|^4-6rwsu<+D;p z{WT+!V!FZ(MA{2vJX%a3>0JlB4cQ&Lk2C3BBq`=E0FR8N^%Yn?qvy>PKtM)cNEP!RvfIo-=<7t>lieJl_6J|D zQk7~iUG3wy_#&4E6)A{fd*t!AqZiWdB#ZIQb{)_WmhGaPE+!X3Oq1B*e z2|9t&+X|xuDsCsrGFU*<*RLPJdQhN1td2`a1T_qmPcG=qPTzNBP5d~g8?m1-=YE#7L>3q4sN6)zzUl8QQHW-621I^ynh8{Fu#I*;J~3U;Q}$o4yL03#Uzy_FGaK zASNO75!b{j@-ftXc0ZPYIQS6}EL|Qrt<01MIcFY{ucN0(7sdo^S*`szHnuKRr=T_a z76S$3Q!xGSj4RU%9%~DTSb%r=OP9hj7J88N(f-(OGsnpp7xUMp6t>X<@;@4KOwm1Y zVs|c-KJ%|-0qR1l^WvpTr4wBR>i{y3`?^C)oavf$XDI1W(betFN-n{LMArSqX8NuLi;-0J^reKPxk)*gvcruc#)5hr^L+P*NW7PA+ao?pP5wEWzOP>W~_wVsvha_}DNC*{f_qv4o(_u zCykj(*FbO}{5-tBZAx{KsnG*Mj*?By01!qwBeXVt+o`IV2I+=y6)91psVWqR(~vK5 zePKSbf3J^WGo_bKS)naB?WO`sx^e^%M9&rX5-&-*u)WK}y`iXWsM4f`$s|y_9`bx{ z;o{Fg3MBQ5YHEaJ3r*w2^XGf3n**y|6aQ|)z$Rj`j3)%56rm4!K^B_w;d5OVDZ1Ey zOmFE+P$`G1r-7rR;{y&)|5}EBmfA}O8&$os&{)a=X@gbVJ_rG*di83B0$GSb546hvH<7;v8_SZiC&)IMJ+PujHOIXUQDJ$!Bc>jKHfUuTULC_6b z$fUL^6~-Guk=+cWDkW01hWV~eEfLN*yUf3389`{;`PGKrB66skh0D#E&vol zpxI1KZ2+|leM)#T-n=T|TtD>zXC+MZfNSgm$;#K(y|GbI_4rAV>sqa0>JFI|Afx%G6Oz(O88)vP9_p8S) zg9j6f8ZEhnL{CpFr$CRZ-N+=-F^2AkbGduZ9;QA$>^zWRDX+S0D$n20d|X!CmXK~q zzKqc3q`9h~P?J?(f|dnZ1yKGgzlLJpiWUND-O_F`r-Aa+DxeC1js1L4stZXMXl<-D zy#c41>b6AZ^>+99r%5A z!0aFDBszJ)tB4Rtz)Em;a%kYBD}V@7zX9SQ)HLEZ1^NS`HUs{Rs|(*%RUjXN*a{-S zT)A?iM>U_6V_HvZ+NN`H))Bt)l!mxq$kp&rNb0c@?qP-cn51{Kng}&rvKU ztGHbtkpnvQ(E-+`0@gr6L$~rQgm1*H(dzQtTg}YMywH|Wq8SBx(XRnB25=d$CsZq` z@fe^Sf-h!kSwnI*7Xqa9=wc7|ubz93(N;+T48oo=0k|T5(mW4A|O;-&~?y}rIjIR6~ek#fJ;bC4cWz|oPM+E5Cs$} z5u1U{ghMNCZDlAaHVypgA6Fni5a1z1SY+%&!omw;QUa)CLx!cgpedd*#F2&ZdhfqS zh0)}fm57Ml@B=!EVi*7v6%`*mduDOZ0~SrdZ*)@sUKs5CxG)IDoSf_7r6ct5BS%Wj zR?|w{w{6=t)>RMzlVJ03?~HR1OvV@W^rXkbGjIoBNhm;-d>`Oc20`z)$xof!u#0Xf z62%9>=y45I@sS1W-Xk8G&3^Ut;`XRofBd!?C%E;IYNd|B6-f{Zp=!`z1 zqpX?I1?MO3#}YSik*!~yiQpzD!itG~g>W8xy`*RPN3P?a&s^XSgpAmfNXC+HDsYWD z`1^N^j;D-%C6R$z0zf5_l1$sB+*GmCFhLfskxAxVADTsqAwl1^~c&QRNGm5#bHuCYY8#Th7J8y$SH);91$*Pq4y6@?}O3xD43ri zXeX}jG1wA7fI(-&h@AlJ3=lzJwL~8WeNuCCMTJh;fe%En%&CkJDhi; zZ4N^_|9VLZ96@+P9MKse{L&4Q3#?GHJx;+Efj%}!*Lw&}$V4g{8X7{!oG1)qVR%qXFV*;ASD&kV03!jZ&K+9@(f*lLBqG_T7t|mD-zl1Z|y*48~gH+6PMjH6)O+d-}UZnG=>qSLHCr+LuI<;zQKe9T| zL?xWjp9!67Hc5IL!Bmhn05Jc^dCbaHy7~F}i8@SlX8o9jhwYM%PTl-?2e5R$6zzH0 zUzC5h{ryE(yJ0zXbp{-Eq??6@yF8@ll2u^W+%fRwtchQlRG6lKsHi;Pqx9;C%F((;w6}t7qonyI( z@w0wM?$@5ZKqYGu@Q*=Yg=_;km7~IP^~zM{R6a zTWR?Ba9%GV`d}CjIF+hB&<_YApn$@T4oJl9ZM4+X$Gtw_etKM#GutG1xOaywDG{~7 zzd9RbxC|}_0*g`rp`G#Do&hBZV9F8m14J7HP)uX~8VteEfgT)V$QJ+}{B;)zAHh5O z`C+w0B2oQN{s=t-D{?K@Vk7TZg!@?Q@q`&moO@W7!cb=@|DSb6k$4-5&?@h${zfi& z&Y63_vj{zwh<`fMI9<;ie^UPoyM}t2RHTEUoIr6vK4T$~QM1q+_0}o&M>ymY6%L@h z$lAa56xt{#rtAJ5WdGWA|4XxpJ|3zYq@TIXYd&-RBae%P{C9GGwIkhN16HY&SC4)# z&W`Qf(|Er=Gp`~72f`+ZNfzAQfSH@fN(T}(x?2FT2-+$@7y`Ll{;i+p-GzjBd-3vR zujV(5=S<>suiGd=Ix6WcCQZ=TGjTG^MK!qks_VI(Y`tDBA;{1F5oYFpu94dc<~|ra zAbdEjOjkh+ixInX9|CCxyo5xnasNsI3|@p(f*F!{sC$7GJIDT9X9p5&`9xT4oQq0% z&&V39{XM;OVaKiuL}_H3?ICQK#1sGp!OrGaNL3yya^ydJYdhg*MFt0_ft3sj9%a6B z6z%T$&xQ1xDJf3uyXpCL;ach|lwqO+3~&KwH>EyIw*b{sQ{}WQ3c`?|ytI=MKmMJ= zs0@y90TaLPj`Z~e@)cKu%*Z1_VP56RB3E2wnN(CRnz(3UB39ve82;9hifa%t5r_&J zY8#y+#0Evhp!Fpz=l?Ogg5_WC>w%3RSaMB@ zm3*^3O&jx;0(?uZglY4Jx%q%?9EsIx-{C)`Rlp7h%bbuj8h)InQ%60MrZ=Dipmzc8?Wn3Y1@`!N=;0^SLE;SgG5Xbb&swLMmAkN4Dli z%2A(V!~smL{60^oy5=*&HWW8dh(idW5bYJ|#(b%Xxg@d+4|@aGyA6q!jnme-T3}hNg9l&X22HK*80TMlm zpo2c@Utk}FQAAm}KFg|Z+`b96bx>SvO7Y)#K>spLlPB{|QSz;v+}unwv2Ipj15q`e zqiy-aOvH7O-(_JUR%ouxB=ge6iytu}^|`KY<6hY1aO5!8_AW&XLul1iM7|{tsE~<9 z8@ub&DP8xaK^41VnZ2+}4q&Q?->aC`(#TqJ(~Guodm?|KS6@l%KIN@h(*26SfIU48 zFgj)RLo7xkKyPkI*JJe#n!7c^#nap1XSqw$H3ZBB)lo0}sq|aeEl~KGs&sf6@Ksxr zysjF)l3JJ%ydive3GX2n&9~ozDU)ayBEhLZ+$SbOG-1et=ty9A!g7tq&`l0rOb4c` zq*9j~rSLqw?gF+woc?ZuI(?S31;I^k1KV$1CqhsuM7 zh6QDi`WrMEiEHIZdGhSpGX&(1IVsmVq8VESm3q6MH_jWH7^d%h(aAzono>spE1Ipv z0W{!FVVWzAS=xs=zh8&KKYv1Dc3SN7L#NPnjnp#~N*)fCnqR^}LaFp1<$4e*YUS~? zmKr#}{suAJv(E3nl)MCW7qaX|GmV!Rba<;bd6`f*uxlIevB5^3GIu92A;xj+Ug7F| zM{vN1>Z#v^vKZ>IVgy2*s@Y}LXWB2v?sN}%i7D3&W|Kj92R8CXj6T)1&B1KQlC;xw z1p`cBSFHBhcw_biyt97u8hK)p3_*1>;-pP;+nSWcjK8+DR^_plPnZ?4ES%m%Kqk!` zb0&gHqW^;v4edE^Jf}nC&hOn&nX?egwnJ+z-EMxuce+>mJ!-VNT`X&Mv23U`uRU~N z-@40X%9={?H>0JNa+KC9Ef1KDY-XaB?+D7Fj#8pdkl&kCY9LDKReJY$Z;_t_8aM|# z+DoJtN50?R=J`p3eX`}w$a`1218&YMaf6NetKoq>TNub=>Ps#_o`+LPMP zF+Twtt&KeH@b(bMOG@+o{;JUZQc`4bzMtUMz|+`EGudCZVv;m3E8WiEiiKnNi z{Xu4tPU0JHY#NtHkXDG`tpMvD&pGn=0+6R`N_Qa!g{*9CGhHUikriV{$5b$!)!Es3 z&-Qz_JN$J$VGD)f#7MzVoCiCycvgbKz8CJGLJ-_HuY2BRehx^Um`R4@(TAc?4*WvL z$mkE&qyMWm3U-~3Fg2Dm&#q+OYT-O_VmD#h>l+<)p$hRYKIZFoV(-ez%GAdVv@-A1 z_H%Jjty{M)^5iXg0YSkGwBac?Z8C&uc>oN9Q($>8w(<$e zq_6~OEYm+I=o2y+zd;#gAq*2%80s!45Qj}ASU&s^HCLICSnPH*6Q^cpS*MJ$l$x7w zoXB&YJBq&ZI&JBF#WsUqo^P^5n-`xaXJy3?l1w!y+0ot(DSBP+^5Yob79@lh@UMV= z!_nw&E!X4GnP-iO;3F{gom^R+^nmCjM#xO)Yi2d{ILOFQtY5z#l6!S}sK5WjVeCG{ z7yVMNjb-rXcfj2Yz+P=E07-OnDAQJ7chVQLY%NwPS4IFbx}490Hj2?g+fYLYvpL?z zu_{zPsp-_K%cTtsw3m~2Bf-JsWMyxkGrAGjO#cM4&t!$+abp3dyK5omPedsai*Wvc zS9tiY13Re!+YunJ6Z8TOalbgUGhlD{=X*zL=mR$zW-#LIFb8=qfezX_KXWj~Abm>p z@5*x0>6YvBqmT0O^JnTq;nes^n|$rXz1OZ>p%fMthPAfbSfJEg2(uxlIm2W)mnN%- z5QW!=aqFhM4X(j0T!Fp$0xXC35rw z+g8$zkLO=q?mNJHM?L+wD=CMZ5;t<&s z6pBwzPy^^L*65MF(62cae{q(2`R=HCNu9~e-O%3~$Q}DFCpz=X*3*5Q3k#SmS(5_$ zDYj<5g_*1GX4zdrk1zPZU4wBznhtDFXIB@gh`F=i3ErG#Lh!*Pl?>x?QOj-#3G6<0 z1V-FS=%JSFLnhD7rWO{eR6LediSI#4rIcD*v0Yhe@bFbjsn{PXVVIkyc*q+iaCsU} z>FA=)kr~DK%;F%Q$IaZLmoF&^Yaonv{IIl>KsC2=y~Z-pJ?a8RN!+cd2$c3%_0VFd~~Zed9OoX?Lp08q_l@r(7FAnosCGI@YP_5;CX85 zc6eW^o=LhqS4-*Z@85tAP>d4Thz1KW9}5=U*xkL|!^6WBl`4|oVEvD`nj7-9c~@fd z^7Dy(!mglyF9)qMQ90Jkp;YaiTK}sE-P3An^z2RpbVS3G_Jq>Qhfok9EMLS(q< z%e%VRFwt0s`hOhjj-t^I_mv}XQ`ant>R=B+@BH8h8tn&Lxy4 z#kp@O(xnZM^@2n~?91lOn?C~4_=26+K9giY@MyiGNATdtF2eXPawEYE&GWGEaHAF} zAAeseyb|2a@b~xRR*cu=72x@2p>j{^4eA5V~UxPQ&&=VPiSUE2*ujRrYSPvf> z1|XU|AYek@gY%1KVq#*uh}du1aw+DEsAN+!GrNi-&L5bXo6GK)zk`&5bSaC`LWJZ+ zb#*G(uv@;iVw)jM5T16a)mc>-#xi?aeossQ&Q~d&NwKWS5vjo7db6nudXcVfZhe!J z9!)K;-@GZqeB&5VR^VAH)92sZfo}o|T9>=K3cndtF5<9~9J^&@u!)S^N zpj_a{607>rBkAKrYsLl@sigzjIywZ&!N4IED55NMtdc;dD8)mEAAi|*obAG^%llAc z1Wjr`V%vzRA5^s6fN8CG1OgHxqCWsef?mQxhpcUd=}{sRW6Z-pG*k}pOgtS0tgp1H ziV72-pHR|vFfmbwoxexD>rn64_%pC}l%W89{r1fZB)bnK^%KGe?9daHHy%$!!P>&S zavEW`Wy==iw&}(G(DJr6rjK)07SJ=WHx&T$jfh7mvy7+&jHhmn@<_U`I2s%P!8w7t z*f%(MonhV$5=x}dZRW~Q4q~i>laG&>sggr$7n%5+ToufzYlcvUPOp_>&X2aep%!|l)$i{|eBEUCqjZ!)GC%INY`5}T zy~L}{yb?d;)9j9B#a5gXpVRx^&bnZFrnIAj1$`@@D@XU7Q{C_pQf+X96lp79r1bGy zKe(wl*w$?&RhM$p2U@L9R!ceVL3V|3@)5g$!gVg;QsmCQU%xO?NQvP4i3N{5ZgeiL zB~vMlaoC3mf;tFiyjlwB-X(BU2o|LTBALE}`|@5}?ODt2u%G^URy)tC?+J@V&)X;B z)9yJ7SCX$ln~*(y+AF<_KJ~(@Z{lj+my>0!t&cBcX$8Q>J5jjEU z`q`rDm1JeVcVKn!coZ(~MLarzm_L?)YEZVh2wg)=KCn0!u}ARglwp%eg(0^yGP@Is zinnF9ZH-lKG2Pga7LM~dH8m`Fu<1u=i&^%Tz~CF%S|~l#`v%ePn`$$SGeD**GvC6; z$9Mj~PUI)RKz6_yxXApp-c@39=(uS;E6k?P{bqAkf++D!*8z>tATjp7Bz)L!~PIySa#6vQZ$goFfqLYtGX+(#}1G%c&D zl5;G+O=%z_bJr^5dt;*~1`6N`v0*4N5LXreblf7_Z3lz8G zH^0I6cmOy(K0jYGl3ns*dwV;U7ulz0aX8>2aQPp5@2IiOGo-+`Lx|h9b|qfzyt`;-?ivr6lqM* z6^#qwEaDeE_ z-hhO{MfA6Gh*5P9qGRp&J2`0wsyzidxEN>K!^!SVBdo#@<@CzXIl z6w#=sYI|z)%E9^n)nyVA!zY-2d`hZdRK;vpTlNDC1)kH_f4+la!$+vkSU@-l12i*D zs878t)&EF5rUBmR?-uuT;oSj|Qc;>R=j)^ zyAH+F$Gu??CjN1)bi~}?#6(C%AcGOSRTQZWf5ZqB24KoUcF%CDcLy@D#-J!_QC0l0 z525xznKFP6uba)ljL#%AKF`kHgAcfP^l{mn4A2q?Ei$UA;rx$J^G1~4II)E*$1Ix} zU=vTfLR~qHho1l@@#+@(qd~hez$NVoOs^a#6%1)^Bb0HUl9Cdu7yZ9~Z=t0Pl{(fO zRcC_S0q90kbFZUJTt!6%02uP`77!d_V&;?K@w=n(c!UcBO3{P3I7^2;`AJDsu(V=Y z<1`p9DtKd8m*jIUouW3geDEY*oez|zrl$J}vzlF!x&@`BIq*b~&D*!1Q&*3$3PK_2 z?(QaVB*GS)la7hWsp)1%u0mQ1oExkRyxJ62MRYkhT40#k+S<#vH+8hN5fh7Orft_? zbNGgVtV>|iKtNm6zgxT#<)xz&4Y_^FpD4+&mF>z2lzkz!za};&1_{=WD3JK=SdzvC z8uR$VIDO%wP+?(Vx=9@~+U>utN%q+9YnWeGCsdS&l_r7^Z5?D2IH`^XX`f&Y#>#&k zokM@y_gsQ!g(2}U1YhD|It10STKaPxvIqQ>N|DErYJ9%F#S_GkR<`)8Kl*qJ9zOv5 zO(>g4{vcau*MZ)^Pvi}S$zPTe&3uB;N=fN1+Vb)6>^V2qMn8=yY@g_87F5xDbcZjz z+KH!=`QQmB{Lz$o#WJ5?DMa*6PKLt51tg9CP|HpyHSIfm`1}nf!flG74~PPwTBkU} z&^e(+G6tmcM#uFWwVImR3rys~dkPT)g3aM$$GichTwM#Np5mI}!6167y?uS25GOF) z%6aI}IT40BP-k$0eIOwf=Zi-VOLK5=pr_PhRT`R;lOz6(A==-!_~Sd!UuV+rEEwDS9079b)G1;x7n~0y)*7xGG-l6>EWuXqlbb7yoL~j# zV?hPS%gaX~8T1YgZhWV9%p4p9Dfcw687=^#`qW^A-j-55P#L@eeEG(L1o9Vzbx^-E zDb4Lldf*RdklaB{;x8V)cAw4(#wmkkJ~Vhd01&&3ySsbbzV8k{C2OEGL`M1_ zH>zw^>bZD$H}PmFOeVm4y)8;n==muQ3M`iq9#@7#P>BYN4|a5)xHyZ2g@y3SUZZQP zR_W)ixvPUi5(*gc=oMlq0Vk~-9I616hzD$7URXtAHOk-LHv|twf(Mpnb=gApz)sZL z?1qZ!Zd6v}8?-aKCi{C%Tr+(B`pQuP5R{y`-4n_tP7kvHo{o1iWBVnUhtOdNaQ0ew6S4uJ6~|2HL+A56VM#Uvm#&Od5m@91bClb{Kn7`7YyAKc({ zoL;YUgCUq3MxWx}zTJwWj=-9lo~AojF=8i%hK&p^jpifvCm!#Hqfg)^a6>e0hiE4tGRlkS`2DE~{wzqGgz<7koD1ZksF{I*LEmhw;y&noAhisMjvw;!^j8+Ag|~WOYp1EqGySkuu3kX zHQt6SP*&}Ul5l)7#!?_s9>oBX(SLip?yH7fs6wr2eqyu>t+*7 zI#TBJd#xQD{FIY6P_Rlk?%)jDOw5#|{h@12hoD4I88mK7LDzN$$TBuJb3ocb5~+<9 zU+_&k0>HO(=eMCXdwdnv1UQkOBTb^hAh#mObE6N5U9=Np!`z_Hkql^6P@`Z%+zH#` zjvYJh0xG}w@Ih;sMICAX?p+E@*=$F_!yQCQI0@VxT^FYH&KJ>vRlU2$`+W~PJ28X< zyFs~OhCYh!)cm}!a*{W4Do_*h?|7n60X8I|H6}Kej+HeC2y@>UQu7(GT%21%eT`Dw z1V91H1a=PNOw^v9p4e*SazCggSC0Cmq#OfbAf~U8GZ1pbvuglEcbC~!;KYvc4ny7dR z038*C05oe0Yved9y8IU})g?9V23ERlw1oH;!d5Uyqk<2^ zGt3ZyR1|RfcUfJMV|D~4`Gmfb3``D$hznF#;QLv)skwP02uYG zZpz#Q@e<8*Knf$M4;#qK4)@JdK?AVl!zzp zK*7Y5gf;@YKpg7BgGK3i-($f}p}GnSGa%pLxdrwqf_OLtL2{6uG0zC)^CK#P&pZo? zDz+L{7f&ESXDU3*i31J+;zv%$?^xc(tC3Ejo~Bztq<=Vs4LoUK;)i_b=;C7Z<VD8hiO)CAC z9wZj@F7N9U*!Q6Y<%PT9)hj0SGW~BamP`Z5qEuXgh2bf*ZlH2l-n^>A{PeroNmLw)-oykh-=~;k zgF4sqhm1^$Sf^p&{e=0MWyQ?+Nej$zFE)6Py-|W79Dy#$K&{Qk!v)*l?NpNe9*6X` zG9BviiEyPwPb4*sOu_G4j)16%;Ny7tds7cwuz?Wr&;$HGjh%a3&iDJrZ<10v&LI`4 z7;_A5MN>Mg%xPxCkI?O~#ZpNpDW!8nU)#uL6Wudsimi-Qs$rJNy+)B#j!~3JwQ~49 zuQ1=gevjYhvBRUsqwf3j`Mlrn>wR6X*Xw${^Y4W!ZQDW+V#TAdxfWbDpWH}6!jUOG z<#h{R#CVN3OIJf=eO0~%;_fiC7lKe6nwPVPku5A7miqqR+R`$H(D~+(sAmUkhGYSG ziUbSq6{km?P1J*fZ~xxY>z6Q@oGwY9oqREM%zh@aP<@*tH4wZ-&dCiAj!M^RY3Xxi z_Plx0NZ?JIbnGXUgTMIhy9c$#?t0*(v_d%Vo0+j^&t00b;gwEas`P2S_wZo?f$oPX zU*D*m(ZJ+Oa2Y{8co$J})%)j~fZ{0Y)Zsg5xD>hry|N#vc9^wd2& z!gWXr3gPcRx5r2T)>h%=w6dG7uB)%_!GH~$Hn{^>5q9Hd4Ppa5I`x>{|vsWtN^Wfgdf;pe_G7oFDW(xr>cc`|-`@CML1 zjAkU8B^_cONy-DR;zHgB*t3}+!MoN`wNWuis~!Cmj~qsJc5y2zJHGO!jo&qUk2L3; z+Jw@umWC>)ZNVuzw6g>SbyKZRPp=w2vX|xNiCrU<-Ap5p?-cG|yNTRnh;8?gLx&za zc_rM2R%8GTs}Upg>AXCCcgGqjM?5SdXKvf^BshCZ^VSjb*Ms_c)~dex^2;$kXWuiu z@`K~lbjRG1#pAxaFrv#aRyLZ8yw)4Km|bc=>&<={-*_Z{yK2v0Z>g(EvvMLVe`n^& z{00BC!4^ST8rAFxpTg#+A{!%lqh8Os<`?gGVaaH04qWGC-X!L_1DG&s=ojLb6;L+! zx-gqpC{_iGy#VV}2^7x-6rcQ0d z3T{dHvlnM~M7p`GL(FOY2anvDYi2D}O8jjlk+*%C_dQpPo0_t0g2i>T_AtD59mAuwE0t`3)V;oo1 z;Jgz+N(Bc1L1oYWZOPFB$M>yFCy=CoQ?y=h$qSv_UNOSfD=(rCFVT8PeH}rS@E~N$ zwQI;NPG$N>3w1-tMYwwZnD$lVUc;}2l7I^a7rD`FYTuC~Mx3GcOsv$JZex1z&Fm2*hQslz6-B(X+Rwwa!ZEoj{Hp@DN3v~2 z+4hU5PjoG>vx87%kie#3Ltu9Jw=ipDnnKo4H8M=hPRz>U#S|lQKw_VYTFj>=GL=u3 z++^Ekn+$RG=IsEstrsj*kb=&`rcIlst)t_@&Vi!`FGhWLEs%NpAft^o7cN|o6kkxN)5Q2Jc z*kDs{o$>KLB2U%x)lfEtLp}-o*&G;*8fe?tRd18x4v7=LCyj8IzF?hQ-e;FHa(`VH9>{XZIrCfj0Sooeicq5$1f?S=G!TA0Vrh z$1ycsPfO$4{J^H}M(W>om(@`;gjMu5OHT4TOM$#|<`8M!OI?3u5Km60#5yopd6y{`*#rG}$P$Tl>oRFkryQbEHhN`(=UeP=N~D0p!1GQZ=X-iZg=%c zU)EU^W*tl`DS}XZ@EvE#Sug^*wRd#>7?nDSsPukYt%|f<7&~tKUhPpo-6BV;z~iv2 zG_bWe+|E9FbVlp$MY>I}`|+BiC@lc4K}Kq-RsBu#o<4gfl-A_-Zvg6M4zcY1V|-k8 z|LKQ330brpTTn%Ugb;cQyD9xCJtI3$Ag2>t2I7$A$3Vxiv$8`)L`3vYE3N^KBRT!; zb|ARNDIj8gr^rg|Cag@C`QBX(i6~8TIBJfC6kA+*A{dkC*w_On-_jz>krF{ItWdB} zM5SDQGIXT02V=rG_V|g4vxLj8Q=--_fIXyNP^@?rWlmlmZf;FxwF3tYDk9hvcsRR- z#*iZrzzzHLd;Z-54-iB^Um#L$o<|T4f=Ni?9^+iywzuYb>C_+R9;(zXB7+bBrE2?> z9~__QQr9H;1d)#v39ZGltw!;73Wg+czLN_tGH9Ofy6a`_cWH^#w)kS{=spA>iPp4{ zGMPCKp^tE+SfNFYvueA1EAVHV-D&bFx|X2NP5fiKT~(09zL`4AJCZ=9sXqqOy+(N1 zFY$Qt74}Oa56grK@czEk0El5+Yh)Y3g9p zT2p@Eeqd;5?@te3@w_=7cV)+?jjqac@NqPI8u-*DfLDKd;oD@eb%*`8=AFq*^)V@} zd%~_3*>-o<%$b55@Tt*}J97eWPudkFZH)jy<`F$!K8fvLyTAWlSXQYnEx$ZxKL0}K z50{qvFUud9|MYMD*`pgxnvL{UK06ff`N>(Ho;pLPwzaluTQ1(`0LwybvVn3IG%g;zr|f(fPF?aLuiNUi`dgBw5YIOqhCuWD4iwdsI` z22H-7_=66TgLYB?xgzClcuOWQ4n{`C-Cmp%PjoKz#!+MYn@(8%(}|ZGsf!cD+9rBK z2KUgR&X>+GYzfx6?3#ea7(c|=)EJpzTnT8S+;R$hY%_pjtKP|h52MKLtgv@*&>ecU zc|ncmuIV_7g_j@peED|V++59gk|U!4L=POO%ZZ}%Q1m{E_SbU)yl!mk#EwsAVf@Hu zqx$0iise9Ry8izD|BkuQX2Or{q9;vFz_q_HLj(($H48*Zk!jEr-cqt5H8pY1o;`0K zqW1ErdX@4)-Oy{zd5j3{5}g%nuW^PY*@cIAXpkTl`M(1UgB7c^&|CdXQ_?AFSPzf` z#e^YS7_!2{i8~&w1*U*G_^&?*?T5O-nEWf3b-Z<}i%P9f0LQbE<7fG$4f~%MI)T7K z`Xi-VlvOUF<>hs24#>wvbT=&(PDc=P0G%la*G9d1b&Ypf2k3b9P=Fa!Civ%@=T~1m zotfG-MeXB8vCaNWT)tRYsds9va|-HpNi$d&PQ5IK8+3=Y{ifU*BJ$ zB5|G_UE|3pe|fHp0)obs`ARvq5`To6th4>(M<5;0&+6*?$v%VGq)x5xIn;dqnIzj4 zS8b=HJ65Wfc0?P!q3pCGNToGxBPNof=0&HXQWcv9C(J5OOHVgY&Ci{{l4K!dJpbsDH<9syPqzq&zYMC71c*E}S_a@^5g~z zfDZ^+(qg~UU)#j<+?VJ99pOSDaNG&EmrK?v z!$`$%BEA&=6Phhk$`(fTMNQWIpM<^2-p!q&fp%ypZ9F$9eJ8w!xcA_=20*YL^=><` zVDOu}D!Pi^B?~?>rO%kI$c(};)%_T;F1f>)TV{m`OUui)1NlK-XW?Tbx&f35N6HjFo5i73e>h>{c))dim z5A{3v#jC}WlrSD>z9`W^HeneScn^6hAZW36vi>Jwv$ALN{~Yp!leTtnI9YXeq}OpG z#N^3l=a2sT83S_{q}o+Qyv6bttt)BaBY3tOxZ}*>_!>8>&8o@YSJ)mbbQEXL8uZ_T z;8}N-)zJhk)vb|3NWH9aD2?h`W68_pN;pXR_w?RJQ7&XoYuifG7l9|D9eB&VMcw%B z!86_$wvCd!;mn})h!|17iBtorUU#4j8D_iue>#So)7p;(~B)hs?mER!Ul`dVWG-N=)X{1R#3?J6&Teia-PO67{Q_j7-Y-1=s@LIcm ziZI#fyJ?Anl`@G1vE{CuPl-6V=4P8g=M&`%U#fzJ1;i4j4<8lKJV8?o4KLnZ zjrvmfW4FRj-eKwovK+?=^jl6R+EBKI9lz$XL`u8%F}M5N z??1+LBj#q5s(s0taP5tSFd^XXJbKiaVoyq>=fE_IOd6OywoKus7NJNOyk(NSG;yq7 z%W)i{Dy5|2LCB!aVy(D=+^A+OWeh$QkC2}D6F8%j)xKGm+JcA&oQn|OH zo}+SGhcxPj#MZ#TqpIS%n@r6!MB@6|(e8Q)k+HWhId28YWocJZe+}NMwV5b; z=fZaz&?^>{mOkFv{uFc^UGqKt+00(saWA>v{^%geX_1#^LI8Y$2NkqGY?2~po1K3@ z&P(7(n)R%oqI1c6KH;Wq8%3%jM?G;%1=Q&Zg~i%dORC65u(L6>Dzh6`_Gz&D8pEa( zI$ic}qeZFTCRwgBepilt#&~J%n#3#JT(T%jfJ@25pFH`1NDpKEpY7Xq5iS4qM`;=^ehm@j9c_qTMIpO&CM?Pjpy z!i5V(CN?K8Vr;hW6;Uc|ql#=lw`4TTl0L7S-PFzct=fgDvUQ! zek;9?D<57PDP>EmJ6UAY|D>qy!MMZz(WE;{OB|ZAnu~1k<%ctUS)I_@0#MnB3NB`yV z1&7uL{!zL_XS9A8GfIKB&3>g7b4#F{|12KB@?Q^XfmA&HvMKm7$Q_KoJi>FK!8-IkUiVJ5!$W{5AsPH1D$Lc?q{fq0FJjq5zc&WO-I`QSv?=BgcVpY1MC&w_*hqj`*(-6z^fn3Yb!`1ku6)q98!C zqV}O^hGY-%KFz(^n#Jgs zszicMBS#W+652|!`!a>ZBZbUxt=WN#VO2$|%kC04 zk28zV1yFnf<`0XD%I=@pVhf6wQ8PiMu0~@hJg=LT0_U zYoULkLJB$Qh~^*j`KFT1DCZvXG|81S8hKTx5PQhD((fG0^7hy^aKbI`_OV*=d7FCbm9r)gWnXW;!z7Zq*n@^YA^sJ=TXfT^gH+yEOuN#ok#?9BTTvt7SoyZ{t{ zCz*u>_r@~Ct>e&8a|1#kqL~(X0MTplnUn(5T8(S~hO6$JcMb^1R81b(<}QNH4+j`a zw6e6^RkD~N2(k3WHdB-w=&(q_sI*~z`a>0h4Mh5ZEB8OGqHm-aRM8>DHh6Xgr zVA}~ftZ<{wr`V%$t*yC#=>U#AhGgQXZ50aQ;j@J3Y_r*Re80mVtX-N2LxcM8tw9^$ zqlAM)b0qPqtE#-hR-Bff&<2}3c2 zIbC=W5O0>$Dsp0g4PQ-x>Ttq0!yyJ_Xj$OTPZLUGI^ZN++=B}r^9PKxH>%idce$`Q;{zc+9j={wOm*%f(@w%t~B2^Mm9{JPS;RbS#LI1 z(&@TYRmH`+WUE31BqnMJow0%+K@t0=6bbCl9(Ea64px@nuxrM?oip}P(+rCs{}>q; z4#iRUm;jB8ej^GxY0!|Pj%=V-5jL!f_cDEA(yUIRK##+B4dLwdpnUF1LLdQ^2B1Rz z)sz2sw&uTVGZKkHLtFF~mN4Ql7KO7bB4^JobIgx`BSoa&^;X!+f-E5h_`GJ!mvaww zRj`zukCdUZBGFZGl{{u5K#UlmD1cd5Ookv@NSrQ2^2&|EfEe7*GSnLcD*ZevThlG? zogVdnfLWKF{_{^kRn@|6AKvCRvgXwPb~HIb=#VO8Iq?ujvwb`Mn7M6Pa89lH3a}-- zo_bS;x!JnFY`*$ED^pAG;@8(kL+pxLz6NX;@i4V!c z>uQg$ndsLPJ#m2P`El+WvB0xG(dG3gnC_yRNg9xFis<`s@m}t;rq=k)rx;U;A5d+0 qiBt1O84bQpYyMxi`Rfa<(uG=Q#{QLJ%IV~a4?mdZcG$%`=6?a&WvP__ literal 0 HcmV?d00001 diff --git a/epymorph/pei.gv b/epymorph/pei.gv deleted file mode 100644 index fe0d3183..00000000 --- a/epymorph/pei.gv +++ /dev/null @@ -1,8 +0,0 @@ -// pei -strict digraph { - rankdir=LR - node [shape=square] - S -> I [label=<
>] - I -> R [label=<
>] - R -> S [label=<
>] -} diff --git a/epymorph/pei.gv.png b/epymorph/pei.gv.png deleted file mode 100644 index 19d49abc0eb4f0d09a53f582d704bdf071685d7d..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 14583 zcmbumcR1GX|37?XCs|37P13S6GeSs`BqZ4(Ns8<}y2wr?35ik(Ns{cWlqe&6B}oXG znZL*D^Z6dX6Qhgd#91j;w%z;(rbdUW)DJhvkEW2)Jd_p5Rva{;%xc;L zg$d(hbaecoaep4!YSQs%HfQ`F{xa;PKx*;xF5_`8;Z{~wPGx-DEXlzj=f5g9=dEPd zc(1BFakMEV>{_3EirWSn8;&_0p=d|UAk!#Y24&~P``6}a?Bz%`#YHDgKon%6+I36hZ zuyaP!R8>{QHQ4I!yCbr1-}{<~ZB?VQRl_q6zdDFpy{FQCY~UitWme(Oov`Pmrmd|I z6~!iN8=L%#t-_^qEytarW0ylhDG+lmu;eTql@9=!v=@j#g&U~Am-hc2ACHfV3*5X-xU#3GBzY>(b&uYIK!aygvGpMh zwrU0jtO5c83V!Rd1HK_gLTIe;E^#`Kr~m%7=AB(!B&+iMa@Rd_tp(bCYI2XiAlD67?xj%;w9(BZJqjNIQM7l@wv4?{t!x{^$EZ(Sy<4+#H*v zcHzQqlI7x`K9fSn?VhE(0S?6mEsIo17-4O z_xh!M`}Vnvwd`i#Rpt`ZiqX*3W$<5}(Yk%-&UN`DZbf$n78aK9*w~6;SC7f=Fcv{g z%eh})iPN8*txmM?kEjZv^|;^or((lDGc%JkoPy;QWcg7We^nUt6KWSo1$x9kvA-FHVVyZu#j>zEsHNC{3y zj%-?=CadrrKFsB-%xj!ye$>H1q~}Mc^M^QoaSjHNg9neAnQ^r@(T&j%n_+BBdq*ei zYlfDhU+jeSvt@tk(3WPw8;$T)b1p zTC)U&gs3Ew7)UN7AGhnKC~U_SyJ2#`E^TqPS*6;!s2as|t(dF&#?}zrV_)CH$v>{( zY`B^#+ULhRy8QFw;+U~(xOBUY9Xq!4J3Fs4Ef!bO+FIaT$vc-J3e9NF+I5B)Zp9nN z5`^W~l5|rK?^JZ3sI=HvHrBBVb)(!ZC5v9|;NTEwxUcrzvqVg%!;p3qhngFY~D1OQ`E19Be-?z79SgZ zd`e1mU?3@6_4V}w$2;-_g@tMG{WTpO_bvSCi$ooIdU;jhfKY3p8Uj_6 zOos!5gDG$qGPAM-<>WXphp<9YY`r>qG_LN|q4(4i-Gy7y)6>6lia9=kHr`(VBucBO|Y_uX>?9AD*tHjQcbqTDpVyA5tj%rHjOB@*o_3L`S{qf_ID+OSDJh9JqQ9e48*_N#`LACN zFHG_&>-CAAInRwjAt=`6k4hetvzi+UvNo49oE ziElb}>J)nG`{|+TnI^?4RS~vVhdw2Tg@z9PZqF{uo$f35E6GxSy9YhGl9tzZa7;X$ zR$tOJV|m%z(Ad~!b!kR#gyUBR6nlC3+vt^dc!InvMODjtZ>4PCS;RLa?Wu| z(Rc4rd4ifzs)mMaqGoRc12$F$Q0~>i)LRsy*m_Gm#Ly*%T_z^F3h3zQDsk1jY}Cn& zwR2;wic$S;bq>;MB5eKns(H_!t6jf-2!+7K+KYBGG&~$~JW+J0yYP~OvvXbBv(qeW zY;AWEnFcl0?q~~f$9UXrOW7?fnixrpvyO@J@p1hSH}{m}EXq0dE$j!T-RKshZgo{^ z;50Ft(hc{aCw2_w-@nf(EhA(7<3l{^fSHbpj-Eak4ej6T=oQ7y-L{fd&P5(25nmmo zUu94wpep0FnbAuV8bViBeRY#0slR^x$~a1lrp1APifRc93kwFG!yLGJ6B6nAomNM0 zp@6eCo8)x}?%Ve}CU1|J7!!MBEq|4ajLf6_e3pupzNxrdw-}cv0eaCgP8Nc6(>x zr5!k&x~QF$L8_!1R-I2&?bTN?j{7Gc&!+{QIA(PNmo2cmpkT?H0O_z zk)hsVSCX@I`s2*ZmxYppb-p4YRe@+(io#hXwU{!Oz8wG(#CM^1E79!S`O=C*!A->T zFb|-bJI2NH=g%2Ojg5`f1>)t}25Fdh7(^4tzwF3r9ea6YKpBW7v2KcyGy2B2HlZ5o zr*=QB*(0eFMbE#-ge1NoG%So?R(8kUy?Yr?I9XX)-IKgPZ+hL45?+U$xc#GQu4D$avNonoZAeVQk5dlm$(xz9~l`ztq`vT!a8;KYy^77U=S@& z<=d;nmBTY}ckkY4%{n<;(5y^JYWw!>d&Hj9N>qGbi|*nF!C1?w{xUhtd~}9WrlvRR zc>}lrOQ>CJ42L=_0*ID}8tNP}3kV3HqNbLw8JV1nHn#BFj%BC;d~nnj((TB*H@sMg;_J}$vP8CgqFX5O63#viZU*=?wZKNfUho3>=P(=(E* zo8o^vJ#tel>5GX~UZ%T#{krGcd`H*)n|;n?ATw-0l%^o|TSI^as0d&bSPx(k@TkkS zK|HEjTdkyz5e0_w9-(mmboU_6$03nCTU1zx%MwyOROwi#Cd8V*`J;pMqr$@Nm=4_i zU2XUfFZ#(EOW(*elmdf_RD|9~X>m?eh{-nnVNi+*n&&(fGbQQ#PaGq4Mwbl_|2e z(0fc?C2o2G*D;>iQ)GPh?B;ZRpc+kmDM9`|jfNMo^jo*q`Yra6F}rZ0-qLr^8PD;Z zFSt6aX?x+q5k6*pNx{tIr&PZ)-kOQpH9d&<@RGsWvXHYxKy zB*(?L)=PJlMaNF`N5h2(jvMJiAN+KU{q5Rz9MkSVua2Lp*x-p|Kls;;BQtI6&#enJ zu8x;3U0t5L$R+1OT3=t+*4C~JVN&+&p=S9|hTb9&tF*we{cxz88bC;1ha#8HVxPwh zT6&i{OL1CkEE5F<1u=2GW`9~OO%M6GE8AMAUgr4m=IOsz_H&DiXR})KF9kOx%Q7)k z&y8!)R9eZ-*VJf4aml}`zN=Gn9e0mr^0?{FXwA+^ccAh&Q-CiapGGhsN?Mhgytkkx zGrrOVsSdtU0ZjWSs!}_04UDF5-5fC9eddCgn3#Ll(}mrI&gXePaZkAWkhiLr0i+jn zRgTVn{qluWY{n>>csxXHIsVoyRuBLx8XAL*tmIRYu9RpgxKcxFivwC`&+g>$n>$6c zWwfZRTenWn&(~(eD&LG3)LQ5cwaYho8L;6G@F@!B!+9RBe7_3M}Q z2ido@wzbu)&b6LwlxjX)ZEJ5o&^j+>QQnyO__4&fH%?ZKcCLxd1*SPsea;nGKIU&- zf_5r-OP@9|`Q@@Y6|kY0keb?LR^py>yd&S_fCsnw(WBG_PF<3kc^w7y=(qPie9-=h zi5vCV&W7WLmAU5-wPwcG-q}lTVb}?&Kl|7*pzBGNKR+jr-W`{U@)@o;hYo!9wFAp6 zxVof5N>l65oQLAm{&C^?`T3_gIkn(Z+%Y~rK7xRjs7->>A7<;DY;SKL0wNil@x&or zh?SL=9t1FW`t)g_QFhtrCb5e3<^8x{!66}2&(%vGJ)%G(SafR!-r*MzcvP*|p?-tm z$i<6$ySuyJxuxtk&h4EaH!t^uyVWR)M#*Kw@aQgc@^t72L~-N0s7j#*MG5v;h_?9BlmAoHq64wfu#TY(IYfd~Yi`KVHR0Sv&G6 zv1;TRq>hto7nA~*8+$9Ai_{+*9Lejj!I0JCE$VW5X_|vU4Irfd%n*#9wtQ{joRE;v zV17MMh-r@Iv16Oj6XNdO3;+002e`1>QhYF8i>C^0k#?}|$pibQ2S;pd1hM(3`MCS{ zZ+3Q?fb8b%+(~8^SR*q#`%nGp zlAG<0wU3V{ii3-T)s?I+H@%)3EQ91jlI<5u{(NJ0v^k@+l?g^ReCV2#KvJL- z>cRoO`~62KY95 zm+ZT;mtMosvM=pEb2g?Z?znpOs0Y^NYZ&6{MErt?#WjNLZ@R+))opj+*dX!`Z?=lnkLb0 zKPQvXo7J*fhd@eq0F5}woXZ+*@90pJ9;J{~4sUC3m#-0KkL16jqj*`z8^DVYtGEt( zG86m-NQoLy`K0o{%xVYyVzZdY9b&;&9Gs5^$Y+d<)Sekyf3JxE)=p)#SAA&vlLj3L zWVbSO^EQRUcG8@u&YYo+*A4|9@bEM{z^=%4v%kNej)9?c@@FE!tFYWJ-Q8fL^nj>p zn44^GAt&BbxV}&M-;Zt3Z}@lbt{p3s=G=OK{S&vx$8uvVe&Qotk?UaPCfo*jE=54U z`}gm2-QP1+GNqjPijF_LF@5FjrTL^kub<5-9Gsy$1H2nPhdd)q6_QXqK zQXp-i{9KpfTFQ05=0qIJ_=@8RsUL+!_*Z}P~Zd*C1edVGc)oy{z06fHC^*N z{eQu?nu$p#_sS=BQM1mWPVmdXBq@7^=n^T+W9TO)FD-+r`Jg-1Ddw71ICZ^Ztj7&7 z_noN~Jrw`*#}7UwC2p{dA!U$Q4oTba*866zu2S>)b5@6Wm>`5y-`u``y6yDIs*a8w zxOdW|OxiDs6V{h6Uv_YE3WbOP5v*$%cMkuFh=@SenEd;w#=T_ije6l$8p`sGbsyqB zjI})Gkagw)y8h}AiW=2&TMsbBu|@#Dvb?T!-Oa}H#ddpktU0s*LirLi!yM>A!ib@W#Z z!t0)Sm>MxWN;hjGcPOT0<`_I<-nsMGi6}p|#7|*{`;Iy}9jJ@tjUB2cgYf7}j&CxQ za%H(;^{{o!1u6z4TS!ijkd9=v0(`4OOUld)Jz?wb@6R}z{MimSTjY+8%wE8+wzjs1 z<>fs4?$AR>j*gCoiVTc`pPkb8#A{p1BzMgM;-5Nwni8}F6K)72I{fC%_ti`)QD|xt zo%xhN^7mw~@L&dX+8tFy`AEji) zq)UAkon7P}_*Z-pA3J-y(X7Ud&M%<5g?>O(=xq|^Yy|7SsXTNdW?c1RM$LS9rlET8m=(cRB z2KytX&mA4=LepqUTE>Uq$~O8D(RA;LTT%3k3bE0%aB(pJ^l0&^>_D5VXEi%%{X`zKzJ>&rHOeC>qJKZ8>zt;@iEg`igQ4= zef8>2Z z>K)b6BABp~3?9JknM#9Q0Y7x?zT0tbeUNGM0c8@~K5}w$64YaLc|5P^JX;cOhI5e( zl*gqX2`3>my##}C9thz3`1x}!e1)myQpi6g{P%+*ZtWavi{n@S^ZOq~Q04IFK)-g} zQs3s$ZYLSSut2M>?l1GX`lnYO=P$HpPe}8qV$Rvwf4-pLz6)LUOP{a!x2AmA9N3Vs zM{v)c`c^9jhue*GVCj^G4&*vi+6E#mY3cc^#`zYlw<7e-32~mYUVJdqACV4_aDU z{)2T=l~!Wb5?p^aR)Lr?0Sgh{0aojw)b~itw8CF0)#s0VECYw*#fw$&31l6%iqOwlw`~KJV1#xx_$(`xf?U0+TKtQHv?soB zCb43b8kFx*cm9@Bl7clM-C8`vD1&yy8C{pYa0po0dGhyGl2$AaOo*qE0)KYt96ufp zQTg?2Xt-IG31WP2g2?FHlVZ*HD3&^O zjxW3YChCQM|Nboz5fN}JYXM8Qpbfovap3mt+k?lqL56kb==(Hs4MyZNW5_k_MPePF_wC<5(`BD# zRTWGPP*ej}nD08O7sac>Q{pkDiMb5xlBgK>MVIfKuA@yyuU?f%4OsUAmY~6d$$9(RJ7*sf*cJi?1#6VIfZ$Uxl19YgIt*uIdg*+baort***Eh zKD)aqLPOxi`4V(RIK{icY1!_hG7mQ(6^v zdmoTU91n>sz|ec1fz!Da8L>2>Zl}DwexDhs$-UGQHvGOGfv9dWMZk-6}2d5h|mZod^ETrOiFY5u_xY4 zZp9>u;Z^xFCjRa+3U|@>4_u4sUf1Sy94)b|^?{9*0FPCYO}+^_Rydw+s4|F>AXPX@ z5(%vXgBMa~^@{0KcMgM~dCB79#f#dH)?Nmn6G?nYO4FwR|2vT2IZ&mo&+UcPS}~3!_*$U zgVPShA_&E50~Khgqhg)9*zC{POKmOUr^*%yaf^6(&{sVC5168vQ}2ow2u~Ua_*G#Z+Bn?6BxR*-iHZU1 zhlw-+oVNoOk55PlDJ?zBC4Y?y&c)2kjNytv znHt)Tx!1^c-}Qf^#2(_-2{P=ItZB8{s(}rgYH4c=C64*cj+=U4rrWSoZto z=H^x_*6)Mxo~!A?e(9lqVG2y1&lXn%Ke0_Xb32G<-u9oUm)`KK$ z>WJBb+WzZivc|Go>N_W>5u6+Qj>Ct+Od+p9Bdg5y(k>K})ISez7O2CX_9jsi5as6a zqRqRdu1!IvWaL$D)H5^6ZV!)%(e(CKz?df7o8^$*KQ>-BpIDhq+hD-pDjM)l{`sVs zako^<^+{s)&irps@bVH5?qxrAza<+{8ltoBl6BV5(Vx$M9%cK;4b4yY!8X$z&dHI@Sm(2pMEu;cDcA7(stdlDmdM%ZTHw zSf9@$;CEg0E(xsdB)NSD=AbG(?S-j4iQqILeL6294 zYC|;Cg(a2s8787=OWY@ewT1p#hNhlAcP)aa8nW0(;@EK!Ov( zp~t@q2@4BIOS3gAuN-J|JVaFa|9hJI>e$xoHr%%zo~9yO3$Tlv>rVzJnPjrSY$=>j zuxV;&ha#e)b-%u5IJFWySalVe%VIex&t z!(ltj15I=4pi1hWJ=^fD9PJ(UN0BuLjm~3M2uIMEAU3`nI{5wfe$YP+*?;&Oq`0V-fzi#27 z;tbW|hYlTT1V&G~KK@OD!FAYU5rEv*JYenmlib{<>aX+uj)nKnB7-zMGExh?D2{{# zV=Npq2?*9!Byk|4C}?8dDgI{VQ@>s}I|0pNs&+}nq{iQ>!vG}G z2l4SixL3O%o`w_^6=hWm)f~aUJkQQ1VofC3`z;2iPtRCv%v*T=N+&yzrxnq3h{>Dk z{d@0$b8i^XI!)dy8f*IqcHRpPn7#L81(zdl3mM-@D+>^3r6c7|t;uhvl!4ad|pEz+MJR-s>w&=~9 z_l||$;;+j8Cq!aD`efwC4@*!t&+(k1&cznTLTf+T8sny~P5R{JA)YVx7^znqh8vS}jPYkE)f@BfEn-wx*1pfxSM!qLz z>n@o=K%7ULZ)cuF>xUc;;3|Z~8rQ{H^*XNU;wRw*txz( zM%goyMFYY0!!R=_>SMU8Vb{@-?j5?sj%JJD2XUJSc`<4A6v0_|VP3|G?Bhkrf}Tl- zOP8u4AiDf)O!BV?;M-lm)AIj^F?ju#_=!XbRQ56P%~ziRdLRP!am)s2&vWFCvA5i# z^lNqA_(M z5Q3s*;ot~IE&0L+!a;L|C+ytJFDjhS@Dd~Ofx>lqY=%1EFSI#*kEX zx$D2#Fn(fy&4|frCb|QuFr*k6sx7f9o|s-gk)*!eDSBiCRQQ3Jh=dN1Br+C6ji7gO zq4Q8)vk+DbABFA&lKja^>@|WhGF9Bz9NclJOeE(6%Um2Bzn;1D1>ZWm1568yn-*|Y z?%EGJWb~kA%=8Sb-*vPIjWgd1ZyP<_^KZkRO}!?8LuHHo)tB}6aIG2xgr6;49TQMVtQwtx+b7>p;D;ezkGs7H^8yRUWm!@I84g$zQKN`85Xf05dtd~`dc}XGx zY*AK=TXN8#vi6)z4b96FBf$NkOW)?S4?E{2ZD(Wqk3I35?|=^$Q0v@g;!8u###OwbnU zEOy<4Ig*c@4r~zu_Z+`_pbD95H0oaN_uSyILkTC9tFrUTe~;7P0kggyr2 z#Y=(fyCymkux$PJ+DJqR2t*$~);llUZNH9yrq4C1RK^J9(^fn}c00UyY zgts)=Ush5*y`shI$F_U-ZXy#CTl2-HLJ7fLb`LmT0Q)8E4#R z(OAysl0@)LYz+NJf-|1zU zJ{ya$nY?x3Cvs6hh%f4`r$5m1!4*Mvq!LbzI8x=MvrURi3q4ne>Q3w%Mhc0zRS+SF z1RIf;{*Q^XATJxxJUYvt`02cRfZB(xlWP}{Q{`UPgD3@&W+eSXxFRI^VKBcM5E%ll zS+B4Db51($yT7QT5pn7+mgpuN8U+a+Nzv4GoNnpLpAu3aA|a*Azq2Q9Bn8_1eYc%l zjUc>gkquv{97r-kJY)!I80>XC#{2HbxleHT`uXAHlsJYezm}&Zm23`EE1my#4%Y{6 zuhO-X_+}h82$xwe^>74q0C&$-^aIl1Ez`4b_Xz?DYnco*#djn|nhoT@?g+#qad#)3LQu0qed5h$8BSkeX6c|9o4SH<21f z?r|EsZ?imyPgc;WoF$a}gys?Qvz6S5;NGv; zL0~*yO!J0ajUx6XAZiCxjM$T(Q6-sLE0m-xb6GdFp87AmQi_V{J|pmmC}{ z)5Op@VR=J!#MK&tazq4S5C)k>esoT|k&BTQ6knJ~#(qZeW4R#KhzSkE;xAZ1ZTrq0)tbo{B`B$H3;q z2OV$|Q2j`{QYPuv`A;Fj`ihA$G%f}Oj5ZAnh#&vWu72(8geesSw*Tht_1WKAI1PL@ z1fhf@uy?UQ2|S?8k-`9!()`UMQVJ=#$D0+s=bk1D7F$(L*wc^@TlHL-ESmYaKW~uW zOE`BzW@aQ)mh}18+q#PZ2;&Eu@zknHM^Zi_Q7G*%NvJ; zi_|MV7;s(N7c#rSv$mmoSP9CIi`9CiB9ws&#|Oiao3$-xaa z*n39@DWI-PFoU#(ZaG&NXZiqDYi7Xo)PN?*h_nXB(aUPrZ)OaZmqN>;$&hFDb37E|OS@VF$|yH+5APC=Inx;ig% zPKL>lkhhRy5OKVGxh#8w(lX)dm9PCp-USPp{sjxBS4tLy0$fkXN=m+}&R;N{{oLWC z@=ZDHaoN~ed}0I;sJe{qB9u}FI_vzm%~#sIT`AlT>9A(z{l`wjqP;WOk84|K6kOTN zA3Em+ukQcmmlRR^qbpPRz~4q2@25q^2B*J28anX_fIZgyq0HYk*NS~d#TQ?7ZNr~h qd?qrLrPS#7{lH-VAHVc(&^j(zmWMO@d*PFeq+>_*G;-A}gZ~#kB{LEL diff --git a/epymorph/sirh.gv b/epymorph/sirh.gv deleted file mode 100644 index be36a28b..00000000 --- a/epymorph/sirh.gv +++ /dev/null @@ -1,11 +0,0 @@ -// sirh -strict digraph { - rankdir=LR - node [shape=square] - edge [minlen=2.0] - S -> I [label=<
>] - H -> R [label=<
>] - R -> S [label=<
>] - I -> H [label=<
>] - I -> R [label=<
>] -} diff --git a/epymorph/sirh.gv.png b/epymorph/sirh.gv.png deleted file mode 100644 index a0bb7be6f3b6ab3e3cc2c23dc761a6023aa3b494..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 30137 zcmaI8cU;eX`#zq%i74$WQY!68OB8KIrL@yf3TbF)A%r9v+J#hTN>fW(S}IA}wA0?Z zzQ>d6zVFW;zsJvgU-y0C-Ru2&J)h_EJdg7@j`Q{4jI!*u&2*b7C@8kc%birEpjhjP ze^1-E9{*eXD3S;Nx86um_9Vp$`Oov*SU(Die<119jmT1sWu6I z;>ym#)wt%)ljOC#&g?#+{cc)2Vd%;g=OpTPNlnc+rqb*4uBJsNXgj;#7+TWOJyE>w zEcH|F%kmppSxwmKS?C+tn^^_(C1nMr>8rhosEQmWF>mtoicK3u>m!usDI=J$}dk^9ee zD2>+pbv^m-Ws0`4m9hNyD)(uXe5L<;6-vP%R?q)lh2ZprkktrkOp zXE(AG?KU(XqWJsCOsy*|nNKGt?JPaV0$N;WTEA~Uai1eLI{L10>Em|}Bl;~ZEpiG9 zMq?etnORxZzrS(V5B@k|V8Fa-)22f@>5qQ?G`xJdD@9w$bzJSxpGy|4{aRPon0&z_ zt#DQW&s7xIJ2?1AIX3F~^P79PG$?6lAH07rc;v{Dwd>cbYG~YxirQaLP|#;5`pqKv z(f*hX|G8^CgEXPlfw^z`)bMIFC?TNH1+8|3nTmVG(@;ls^~OG{&8WAA?G z>*_wzh%2tHR+-=W;F7G{%e()%qP;e_KXm3wt zaMWd99-f%|{K$_Vk7K#x_r9QP@SOZ#d}R8s4LNK{O};T*Ohn|@zyR0My`ogs|3!kJ zzO3wqZQHhWDl>+@mQSOsyZgULsC2x3{rcq03>6)n=*8dXPoLg);=~EuO5L+>h5rf2 zpm*!nuRm%(xHl<(S@hhwb6wrtPa`6f<>WTb&CM~0+TFi>d$kf9RdjUpQG9<#htW{- z-5~Y9T`$4QY}Zn+WvnYgN6qhai^kHwOkf| z?Ql}NCW?(UVgboBIZ z5)w?O2OCXHOs>t2Uf?>(d56-7&9D6b=U^#uQT;t<_i2BcNiNVvy3M~yE2I=GVqTe* z)kx4b9pWoG?EBw?T1i1Ke6`EDeIbH;=%k_H^E7EngWLbvl+0DfW`C|x=L{f!8>Ab* zg@tY3pUte3($iyPR}T9*Q7tJOTldu0_ml4d#nJKc4?V8_{{Ew5rOd`wR@JQz?cPaA zBiA1}8r{fcLf(1*{(bRX6H7}jtmNx@gGAGxioCf+5faXh%X7T}#=i#!q@z`T4GxOG zdFS)^@z>f~{+{c?bl!-HD2+I48=H`C{C8*fRXpP^tg7-Z_M&-jUb|0KP3>JqM*c5r zrBrR&=kXeBSk&_#La(T$Hu7^jIy(Lw8L2MwW4E@pW?^Ajm7uW@J^c%Rlx5r7*WX`Y zBA^#5m;b|HWnObTqv)Li!{i@sD@!v`4Fma;%Q($Wz2Oemu3ulrbHF0PsfYG4v*a<3 zG5z6=VlVO8pB~2P4)*rrEwc)$a4YtTmqoY94y-uO{u|jmm z^1=wah=|iyqxF1yxB3SJ)c*K!w1;0)Q*$`0m#ODVxY!%x&DPu(t0TPe%jU%q0RbsD zw`1ghe!9DbdzVbZ?>ZI9?q@nz z&*o{oQAa*=52q|WEF@I)fQtQms(Ect>E$a|Ov@i7haiRFK=0qbpSqbhKd!y4?aTB~ zb7P*XSX5M$LiaD{kz82?h0V4-m02(NRi2qex;`uP+(ET>@BRFINyO3Y!UBF{UY~FK z=>r1;L*}(#tAm4sXJ=>eoY^CJ^dF5rSi8DPV22FeNNP$;uW@s8qwZbRiH%I8?wz7j zyFVcRrzFOBfBGbK`}Xb8>1mDhsi~=VP7@c?t=dUS%U>F@df?-;;pgY4`%j)cd2q>k z^XAP#63$1E-cnOjul3cid{5M?Se%=%zIN@*^xStHtJ?NObKKI69nW(2YANo$+dpbHg_A)S-G$iUR_N%ymLILvFu*0UKXcPHMjU@f53f}xm z?u?e(v9av3K1|Ws+4O#8Me|bw+{@LXqN0wS-opN34LA#8!FKJPnzB+-tK&42BECg3^5^#3ec*raV(ii5$E(Ss4GgULSY7RtoSZyB*FI%p zW>$&>GWXMC2ln~)DXGfRQd#-k>o#oY92rqLbA}Ris=U`AeYKj>wkubzJbLu#=dWKE z#+L1)f@8%D5;HURs;H=V&5T=~L+vK@{*z@6!o0pCM<2&Z;tz-_O08*WQF3q)w)`Id z?kI;#Pq5kO#6;&^8vUQ|tB)CDCH?@9!(YC9p?3J95_a?iAj1yvQ3@Oc)U4@|b`?Yn z@Ck+Z;%Ff$BB#8lFCYcy&a`=DXQLX6AXSX@O0EPC4qirHyL9Q&uVAwX76Ad@>1q4u zeSJ@5nSKRm>a&Q7(m6Od9I@UqZeQXV$(h)WG`eQP z_R%u-$kB4HB#LCC;>|B#zH}TbrkSgKbz)g``*PkuJXEV8_QF8lRYO>Uh8o6nF^XkBTA< z_;LF5Y2D0gC+0r9efw~Dc-XSZ2bV_1C@Lu#$1Nr!wE{urs~+g6>WGzG;-EirnSy7E z-ty9=7cXAin&_>rtEo9|Y`nj>Ix_b4>-*ti4qv~0E2^n^GQRZwV%5HX{<#TIin}Rs zVcNB8U;R$CGxGAAP#A@d97!=Q-HyX9r>JOL=6is8%bvleG%sAy*wS*#N7SBx8G&5= z>O9wlzLAmAx;iQ(Pa`8E)ZdPu1s+JilvGq62?^Y&D&Oks3Es(Zns^--7nPS6k(kIs z&7&)4ZhjDHBuw1NSJS|CkF2aLa7JNY-$B6Tqhewxe~s^qHxw2YW@cyGBGCXk6ytl} zy??*vIi97a<_z-jL2hnF!F$2_Nxh9`k==c@QI`SH0iDkv&JhI5%gdUKac|#Rd^%bx zmRR9EbK`qMgW8!h$B|eO$Eg_^YUj?~#cjrEB+zAqoWDPC;%`d4s}`&LLL+W$YU-Tw zt{L1HP-T#q1CO$@GN4fMmF6Q`*RR3dv$C;i3tjqBUERCTzH;p8)2B#8At52=R#uvC zH!V-bN&-nJsjK_j2up~HhSbHX_(eoK_Vc4MH8l-8YJJd#eG2P7mIQ8qthXKQ`1<3Nhq zyLJ7I8#malbBy}>?pj`+$)}>F6}h_q$^}857 z?_*`XQy-_v^`Mn`@#hAr#}|}0N5{mB#~Ca=MAcBzUer#|xOCo9zkHd*03c`Zco=Hy zmq^JS$5B2w10IqjAwKm@&5wG6?%Vq~X@%9*BX6q*1_x8+Qi3Iu5)*rBUPucG387lW zi5tY$anRIXxNxD|)2Vr|@jd(0jE0NrsZ*!?0|Vb%)N=|53f5Yrkq~EKh@ZT-P#3v; z5}SpzSKKM?2p_U+raZJQ~u3hIC@t{7Es z@$TKb6G;sdh`NYZuUM~UbyJ6ghRzKbtdye|2h1qu>Z_pmBgLYi2;kSnt?yNi&E5I& z<9tp|&W|ix_6^$^e(JQ(Qy)8a%;4zvlhz?zx7q1za~j?wadcM%c4GJ4mm1uyOBo%K zZMqfk&`w=XWk+Xb0=u4MUij058)=h{Au%zL+WQp^xAvXz@Nk=sjg*v>$KBl}wG+O- zw0NDD$K+9P{P^*kzOx)WJZ!A2YZElQ3JiZ%3AdYcmUt_Sui@dAWW+k^&R%XxePFQI zLF3XZ)_wu8e!2BS!0Xosk>749vUl}x7+<@@sf%@14CE;;DY-|W9FC86%Y*9bYIYWu zf|uOp-W`98yO>6^u2B+1F? zX`9iXCjeJBZr@&FB2e4VP?~vsa& z*8~7LD4Cd$L%LoKskw-(S+j;Z;FzYyif-He*0#2Yn>Q&wefqR<^X7fr+*SK%cQP=D zUo}X~%geL&lkRzS=Hf-R{DsyL|Mt2vlZXiW!<~n%GuXnFJ(Xj#E!NE8R7TIgPE1sm zZwuzy8yXrK&})&VEhQy|;5o<1FD)hIze7?|Ql6>Ru(-H5{`|Y!-@d5>Ira?=MQ3FN z7ZjYJXmjdi)YjHMkK>B^AeEp&wR`u;D_6Mj3t3oALqkSOixvm!fa0@Jv>3)_X0iYQ zNId?}o}s3ypb6mN;aR(O?HMht2Ob`4&`kpAy{I+!U)IN27CLMI0BK*`yN0K!u$Tihf=Y1{Cs>L@#{|A1w}>0#vCWX z_WAD_pTB&GNR8Z*tM8MLkYM9?y7JJU&YZuScI*0wUS69vZ%zqPwRgIdqlHIdcAeab ztf`R1a+6^Zkjwe^eFuQ!T`iQV?_2;ksFdhd}03fjAO@A0^L zBO$uR3@hf)BUg+J4JlAg@jO7tY=VM*d3ndWyXq0#=rIaBHegrC9RhSAL*ZDKl$AX| z&iSdjuW$5M;o@{g{;8yf&cVTWp{Trt;cRSC-_(unpy~*TICWF}EA9)_k)yLSmwa$- z?OAOdoi|BIX1_k&MSe&0pn+4^{}Y(kX1q&&ICn-Lgvnk;MpN8XfWlpwsIws(L#ec< zr>DyY`Z_v3ef)US=GU6Qm+Ac7n|!+@9J3$kLt5J7)Ohc>&zCRC z-C3F%&yfXH6xKZiwGmg(`G5|KBO@d8xvcD$aQ<9Xkb>w~F@gX{WFH5|rIu1pPfy@D z2EnQ%thtKhlK=etjqXnkU%os>bZmovg)YAFa!8AVPRp4 zHun`*R6ENtrn=f%Lg%shZMrEolH*6f8XYQj^@*( z@DX0G`}Vuq8}+W60h#sLH!=8++5l&SjR;+rDh5D=XWSprHt~_UqTL^3K0( z6UU0Arj3I`MrQC~t>sZq$z;2J)o0u~>va_@?%uicBq-?MrYPFue*sPoRso0We4dL4 z@Sdh?Vs5Sk?y6j!|2+sS^lAa+QHzT%-H)e(1Xo6faUrk! zoFdbWK9-)U(9$pwTb!+nU&2Hbx>Zk|T4!%>kE8rjBQ6VlDbfwPa`zK)_2d1qktrxA z=z%#79Wp`t|D&<-th#y;*f5l|Uw$gb&eEO4mT`><2@Cs0MylxQGN4o$PW`U8v$Lx~ zCcS+5(1smMCXFekm)rBgx6vOtsOZG2lfKoj>?Bf%n8UCM@M^jIBDSbddWXc?=kZrB z0?J!hbW{cl;=i6PExHy}DCW zbW(`UyIB5;re@$S2S>-uuhJKB&*hnnjEv;|zV5n>jij`d8DeUDoo7b zaYzVVx4}d&8byU}ALZEnhYmezd~fz1Er;8v2lK)D{U}@whgX4CQZY3>V38K$Je=ie zusj}k^3*B4jIoPotHll!2u1*h00j{skd~H4t+p-$UA?Pou5V?%xlp-+WzX;Zw(C>@ z!*RKk@ut9QJ(aZL5)$a=&hDZw^88Ao6UCixy{Vqhtdvj&*V%6E`%>a2+0skVC~|xM*Y&@XQdQpu-RN@H z0_Ev{7|apaKjhAs++4<}+Rp$D$VF5~o?NlAVn24wO=;JgckiC2rV4eNB*(^j0x{k5 z^h9j3aB@CGo(H~0Ix%r{47zu3J&AtM;s6#G@yKBPIpRK2u(Glq3^<4#KM{+JQF{w5 z8?)Oi3n*1dtRW!!4QJ;E4<5WoNZ4jzV9>o+S5FVj;EU+!byyYT415=IhRtw`2nb

@)sfYAx6oudj=i+e-9p3j3b%{21=88W!^35~j2*no=-~Tm z0joA~q+b6_a2Y`$#p~64uMn+Zx)b{`W{W3qFIn(at5F`Ky3!q)fH^tSOn*iVA zP~b7gfRk%$pQ1llTwHwp=1lfaU9F6=4XG96n|`fvQ7mIKulbmqEn*C z*wHr6N%0gD<;y{Sj0X-JP?*v^_CRuFu3BDB&am~vb@XTB z-c~Li*oJ6ceZ-MW)Xs3_SoJUli5vb{wtf5ei`ey1f@)j4Zk_e?pcbh_)6+3AG50|5 zi;IhYuBa$%Z;yxc79#jgBFZ2iaHNOw^7&%f$e z0bPQB<2!nEmS7&UP}4!4iA?!G|&Jmb&tJ#x$oH_txxEo(eRgo5JlL4 zmq}_-$^s*KCa!+)$2$*Xb#QiyNLM5IE5{Ispie>(oXkKRrcF8^sK7LoyP=CkNhPc* zAxyFFZ{NPXW@{Ujo2!?VM@ooL_+};Zt4v}y{6`Q{N~kxJZxd%;p|G=0|Eol1itbA5^8E(_w@k6*qVZxcHV7Uxx5oELWC4>RrUz3UGdKQx4v zHT-nwk+TK{)ufLqdEdS~oq_YtDkw;GlYD_xQUjO?2yBHW0{o()nf# zN3Wulag~vRiHS*kvPK%v7r9LurvSVns1rY5-_^PbhD#kZ`OjaxScN2wqr5{mUSyW=_{^ewB9Q) zG^~Aj3jF4KtM+54Tc&n zrYK=*dU^>;;h_(B48{h^eJU1~b=`JGgojt{aG#a#9ssoQis={jOVG*CZrMpAEE%pW zYhm%$mo-n-%#0nqy1J$&mt-6=OAc6g1!fTnASN%9v#6BC)q_fL4>QHztqSCH!Lb0e zeu;Dn=JqF$WsVz#^USa*syZR_ZrxgiPXvQs0V#u`iK6vq`MW9rKFqINIrmmra(UJm ze2<)p3RxBKXr|?93el>|JJ9xOrJC==lB=t$gR={GD>ZRCuv&5@3^5BR*AFb&+RErx z_KNkog@pyk>*+hjE{kKOXjuT+s6n+nMzG>pz||Ynok#ZSEZOu(EN1R{NZ%AP96RWR zxfR?6(N}lu*g+~PYUX;6TUDXLegOf+AFdA^b)6Ry4d0HY8x5-G4(1p2M+ll%JnpR}(|dyQhcFX14^S7uje_uOIT9}B&p59P==uM^kvg#$K0Hl)$&_UOZJpBQcXz+tXvIz z_KdSE%5`CSY`lV3N1YM!Ex*HX3;!NjtQgg_OK|xknW*A&UzB4om`_7PE5Ooh+`6^v zg(uTX2=v@K>CYPmwDMfCP93fM7TDTF-d&6qJ-6*%-%s_z(hi1~}VsBzFcG ztq1+o{(bva2PhOHy>RgI#sY!@YDB-iR(NmQKVlBx1wuAS?V7gRG)th(Ebh_aJ0=O zWOWquj-erMjks_o#Q}zv_w?!+73Tgvu#4akTO*?kP0s;dTXieJfR`dKL`Bv@)mM|9z*%bFMF%}35 zs0K${_=;(tLexERZN6SC2%lPA{#p&ioAtTCFeqT#mX zDN={X{<*SJos*qc_-u4bTdwn)xHz@>uX`djKTLGP+1WGd>L>|60F?~-PR?|bB`9H(wnAu> zo<2T1P*BjkpP#(6OIY%cUm@r$_(H4MG6h>(L94tuHpDWp31FnjsrV%Mq=q^uO-4p9 zzos@-g1y^U0ETGe#*KT0$2$A_=kA`aw36xB(##dNue`jxW?<@L^s6AJ`AWo_|CT0* z<_fFjDjhXLQ;wkPx^iVGsNVuzA67v~ z50#fD#Q>b-f+n1dmng&GL zQcJipxOFq1ApIyKJJ!@tqDchLgun#5x|^DM+{b;<12jl^Ma6@M4?m&SfL%fd>-#O( zToQ*2>rHf0!r&uFNs&X_0~X!~hG7gv>Z6S zG{MUjBM_{XM@$u&JZSCEIClYdfHp%U?N|Kdb{Y)R;#{>m8zhFv#V+>m+j~D`=A`@@ zXFY?q3j*-R=zb?8wNB*+PuX$|A|baUpD+m)TfYtZJ=PwdciBA=ZH`xaZBS6qCD&iN z=*N+S=0F5VB*gx1lSB3$<7uvP@8nJD_#nRONLvHdP-)ImxvT!%6jrT_Wnynnnosi_slCFPYv z6s_&IGx!mwq8nO4B~B&b#@(Eh9yu1_%x$czzthzF(t^>rT=ySWSkZN%qetbyS9W)I z1Dc)H(1@8_D=~OMNUHn#b+zu>ePM!Tj|EOuiR*E5 zaw_z5?7u^45b&=XCb9PO=Z#S4jpr%$(9m$vTnn68)dc&P%_`y6g-07%@y1zuEq`ZI6%|vv~`1nerkO5HiAli+A$kMb=Lw3dk zDWt&1@)#XD`soC_lTsTk|1}xKDLyP zqQH*MP7fq9XbWjSjtL2&!rk>1;^g4CFw&MwR5OS-6qMk?QRjgNs9|#XLg%^fPUeZf zZbVo_z#W3jIisp-#9#F(=T0i2Cu%1OnU~LGSu)YlJ(P)hXEQ0a(b~1KxtWTYS;fU= zF{l&({g7|3lao`zxu-MH$U3|WGPh6Zgs$?RrzxH3(K{`unvD-jeGRnXH5FSbht8;HzCsxH7CC~GgV zMyvqv?B}ne9hRZn9~6=P5H#F*v90{uAhbUYeygLZiiVcvrXp8zaBOeL$}x77i~jyg z-JkDLcK-M`+FEuehJD3)NnNr1Hj`wXyZo4#@ts| z%k6nhDg5Z~A+%nCP-zPd;^D)G{wL3XFaQOBl7a|A`u+z+Uw&;?cD9b#WwNb!eK!@p2&E24@|K4v>HQMR3XD?U_&%!T+vc1|k_723( za>fg|S|=SH-OIOc%R3~ZpFcm|Zw7YQY|L%n2#1u*mA?kVqQJUu-%QSKvcvsxa&qpa zr7b{Z%6e~^xKTk)?jsO((}gW8cY-?5HHn~SfwiXN+Z(m=g=%mHa5&7)I-;f^KY==b zfZqVw#WSW;s@?kg?ELT0Q^6E)=vbnC?-878ZyDq6*I2sB-GQ2kAza?bky(yo`$qEv z;(C0@B2!ae#0N6_<^I}q1D`!g0$5K@e&WZj!ntC9{W>cD{YQ^jMMN4q0Q?I7+#Y4; zhsBM5Gh!NRER`QU4I-8fv%kJywisjzF%0Qx+l{?wt^PU=URBFi@+}H(PpgtV3$AC05PTm9U*Xx7`0nIsg>p4|!C3`sH1o|QmK43cy|22WXGYin!Mug$n>hbUw# z6k?9Dm)HqNab6JVVQ~)Tyqd`8yL_rc^lvh@&V>MmFy}aU@E>8}Kv;rmnws7UCFU%? zvKns5`o3M0*wHnb7_kNsD@0QdRGERH?59XO!6fuB0Chc1g!}LwMd0 z`Q?lsD^z}WZGTS8)QM1{&uVFvL1{c{-LV!Va4(MO)*U<0`khCcvxWN5Kiu5jFj%2K ziDyg+`tUb_xa>jV3_Iqk-Oqdtt`U&9@6yr^AT_?(sGZ};k7}N7pGkmZ(0arq)O&y5 zL!$VCfPesm50V|BQm{pYltHey^yG@!F2DUje>4m?Fu9MRv%~_*z*7!47j<>*z|>%C zc7stfF;=~K!y+N!T6xTeN#Y?06`*9q1(-%>J)aXBt!+O*2Lf@?1BDTLr+WVU{aSN| zIvT^}#W^q*I%2wHYbz;XH$g~AiO7~!RT0Gyye2|CDJ<6H;>GgKu}1rl=;{=~J$i0u z>de` z{MSC)Bb+aFc+K1qYXbLNYNGx{zK~(zJ6Ue{fE2E|~RCrKO%=X9foc4>7F_S-DpbmhjOd z_4IXX*Irv*bb{O9P=wC;^KwwaSFKuAo{k4VgJ$o#0|22=&uP~bEDCjPZG@PD+y-;6 z1aTd~C{H}^jEUrCitb##eA!>$Q*xSCd{WNBKjbo?)BeejkMtdnosbm$AOj-FA4*?=L#+q2XzGt?($7Fp+JGgX zAT5uvk3-#^qq~1_lTkv$h>`|Mp zjagY)u*QROy%`ut)8F5Z2YB-IX#redCLb0n|EVi4niRDBekj6i{*v2d6tlMzIzgZI z#U5dJd?b^9wEg&j)p=f=F5Kqm0UO9M@PDwVLmB?bE;+Xe$-CjO8%t4_nESFgwrn5H zBGdv{E*{mIvqGuC@>BEbE1`o${eNfwngl(iaLeDKp>VwxGB`SUqTNH|1GohD_H2)4 zEH8=nZg4ZCG1k*Neg6E9pi%?4N+aBtoq%$KgsqqW5*afJ>~L&}M_w3&N93}{pGq@kndC&&5#MDW^-w#zqS5D3a zJYc;aZ>@p(i5MP12*9{#3{eSe#2MdHbsnsqMU&&8RL1(Ed^oj+xj5atJPSixbt2 z`RC$1g?9+>kmTlK(OZ3)@%n}LTjd`etVg6aQ}V}@PTAbWavzB zAbS}Le=aeT^&$%lwq#AfSk>3}9C(;f%zhNtR|B9Kn_ZccT=Cq%>{4UY4Db${~}y!D{T>A>UIe;{#QSzS2fb zXmFmtdGi3LhTq2(F5}8bN%zWWNVe$kzwG4QujCMMQjyCt;DFp zM?*eJYHAr!ojwxNd$}~?KN7_Af|MVrjgUqg_G#H6J474QlD=)keZ|?dY2|CQA{efH zf`U{VHf-RM|g0vD%HTLc98Sk8tLj%gB)MH0g*v+5`{GV@9!(;nwWNTxVev z_r2aSK-Zt~^;}$D@chUL{FyQ_dI%!j2p1k~&yPd}1Y*4f1rd%9xD7o)aU;K>dVk-3 zT?*D{Q`Fh-+dD1Ewg;U?`c~72$(T$R@a9hLBGg5%`!YK*=Nu~EgK;5iFwUngUE)B0 z140zZj7TcPyT0H|%ybabGBRi|7yyU>rI_XL;d2WAm>mS8idY~%3j2cwWkmZ2Ls)fh z8+|@bBiGht&MhIdG2|!Hyunfz^l%Af8 z$L6}I^qq$e!=FOPNwVh1b4%q5@INq!J3c`NN=$}7-Th#a-}%SK6C5wSR}(`Ryg8$* zQSBp_2F*Yy>ottAeQj)fP-|XVqUibRI^f~UwLI^nW)+t zR5^ucWKpfK4X%37$sp}O3o5;wk3Ita*FL)s^7JD&-XO=#j&&X~$YX$nVd=U5PNo$6 z(Zr!8Wae6^Wb6j8QlRQb81n&(g9?XD;UDZ3!u|6|2&M2QX!OIGo!d#cO-^>fC;q9i zagJ-G+C;z_T^148?>xdx0R%|&G%0Wf6FUsHR#?lEFA+Atos5j$;B?ivUG^_w3hN)J z`BMW8TvZd^GW+2b`vq$3fT-xa;?M}J@gm@QSES9&U;7#^WVkN~ljq5ITY7cC6K$ib ztLvfj$u|jaR0=l$Nh0mDCBm6Q>CJ4WIRhN2v60pw4JzUSolsvB5Rxf%wv7opE}&i0yhStC1vsR>^BWDZHq;KLIs1PD7G$ zPuN>(3{-aL5Q9Up20CnF7*?4NYVgDS3p`6XE6WRN_S*L;1(AHBeAlivx3n}SNvSnE zkbs8vmE{>s{SXrr+@#XbwSlsh6^y5*r@sPRC@EE%Fn#jhj}C+fCUBzS#WUWcRFgq3 z=R7@l0rL(}pga+d7$CwbbvEQLALi0b1h^<~y0Dog@hlJ~OcOwtCmSyc1e2Z+h6)N~ z>1c-nA{OvdV&hJs+qXtCJ>vlgUE-QK9IS6NxKnd+x53j~AZ{_*37 zAkN~JbHZfY0O`X@)S}q5p<<{vOU^OyemV z8STT3smC~w;VHQH(Z{3hiq6Oggetm=iRrO+LQFz}clEJ_typ?b&ka}+WJ)md1rU@F z;LyZm(;Fn_mw5#E;A`i=0FQRcP^miBc;(pP?q~a>B=%W-N6}n%pmfT)e8eb%Ui$`lhTcu zjLfC!W*AR`t{D(8fyy4Qo%WE%z~w2B=IDB+vMS?o(fUpN+dhY#V=2+ZF&}Z85&Qb} zE7T@K_|M_F(Rci{jz>2WK0YRxLxoWE0*ancs;Q%rqJDuf;E0}r*1uo&@ij2xWB_w{ zsC^kumhFUBfZYPep)-;52O55N_mzf-kR!B^sbN@Q!>yCyFEX!&EP~{BOVQPKdA3xN zxFUNaoHIxA7G7h#7CB47CmeF}&!0a@fMVb-HZwDb7-)e8A%KA2=)}-b1wi@+&<;8bD?pr%7zxY7jyeJL z&Y_+Z5eJGwG}`5eg^~P7@_l5C58^9$3wVVvQ1Tu_e#9?;o|}wYO3v5%VCkQyr&FV` zCqoV?rd|TioHn;tyD!_4NeC3qQt0eNFNaks3h@e(gP8IKtHq_kz7vcN?9>?@sQ+P= zQ?y-BnoYiV+pN9{BP^#~)xc#H5 zr0Ael6x-E^)KL5Pwcf*5b?d(O-KhIMcv|Vv1CEC=d+XLb+nB!1{uJx#ug=VdhD}Qz zo-+y`hxu;zPKZw&9H|t`pIE(v&+Lmx{`bf=&z?Oa^JQ3t)ioJb21K~w;Tb+-`VG(u z7TqZI9^E+H8Il(uWT1;~l78+rJG;R%OK}YYWuHGAetjihe)T@QZ=lMM3Rca|cKXzs z3vJ!YcRXttrb4Wte|aoKa{J*Hd5AP1fx2PgErAsfXlK{%-9_jYAbVm)XRW2BCETMT z&eMm`I=}}@3`dCGrUMmVExoa5Xw!x|^t0``;fh36ImFHV=JjjC&reu}dUh?LQN+(+ zx=az8CF)5IPWGd{{4WdJA0p&1Bbk^xE->0{-oD9{4^{{0(=H_LoH z76DpPQZm3q5$@+#2s59GvhtS$%))Mqj%=qxzP-4cfVly084q-XzCm+S4F=W@4j9^l zPly_Wvg|NlBc7i>e@=l>iEgtt5TwvSev+I6o4otdfWaeXN&Uv64j`gOOcL7iC($vI z2_a0Z!DP`3cIW~M&QOOKxI{Q=t^}G}UA@|a5^|9Y`Q)JYHT?Ga?2vZx^l)ojCH+G< z=HlvogMvO2khWd^8Kw`AAIbOviXu)alG-hqs0&yU7)R;MT~ENQ_5Era>~3TdS;1(V zcKd5ME`=ZfxS)FFjFr%r&%uC03M04*E}sUAw63l$%pgJ&U&YSsswIV(vtp2 zz7V)bXW$Kyc>QB@g&9CcUFb>0p#R4FWF@GR`Z z$tU(^EgfEWCJT^78o9uoki(XgmT~ z$=w3z@xhY>&hVhsJdQDOLvR7 zFIgJsQF4BBxA78n2UY_3bJu8dg(!y|Ex>iqoB$fp!=Q&T)&K`jP(Njrl_pK8m*BvL z!~P^JMa-}v!{#Io13H6<%^lPMgmFMuX}Ck%8&*3|RdSKXT(8;Nv!VZiYv$fo+S}35 z2jDH@;^M-q2~Pf<@kb|mW9oM?#F=-=$sgO>4c<^F$je^x2`^7TS5EQ;LI&CiHhon>elrYMW$=<-GB^K-fqeMs zpluM95)y@hfe&6dfJT#e<}t;JKp-E(Nq+QbD=riuatw7E7e&uRD|m4$J_*?q!UWvy z$1S&Xpyh-^=$5LreXiBX)N@=@BklQh3u)Ti+6mLo-fpCnx)~6#2S)6o;$mW5BCfFa zHr?gQ%yF;)fdavpG75I0UVw?p0YT5A>ky;Q-Wa!nr~moj!>?%46N^;h>Pc&%rskKT zc#orhYF^oxKl)2zK3);i)6=uvcCAwMkge;lDnq`50hSn{8M3$A*{XKp#43QO7=wH_ zrO+eZ7zJ)~nK+FCJqxA}1@#&0y*rtwzzh0@hI+-t4Ve1zUy=7pZ>wwXTVhzs@A@>>^(=3ad(9U7r59&6?us)*95`YcAGkQ3| zOJ7;nZ{7QRFg^fZbNB8#w980d=!~LSpTl@bJ_&^f7rh4eR`Pg&(-nt2@a zk4)Y&g=7Yx)Zm9`tVSHfOQZ3wG87BE2Lq-AR>+jIE8*V&T~Vi0k4eIehHRpWSvF|5 z=*3`IuKo7yBp4^yCNScurllnh+a%Hey0kMI8tYRv3NBu}2-_8WhJB;CO)V{t^pi&H z^q*07d^fyur3$kiydvqCMS@eJFw?qo7AEs-KG6vf?$&w`TAli%1Ie6tfbn{d6Y>Yq zBI`}rMnE?Mwoks=DoSRdG1P)m5(BtH-q8WycLe%&LL^{C+*>EM@|ePi;DU=V8u3SO zNpgqjm%NWb>DM4O<0TJlMrr* zO!1(t>Huhqbr@+QUZf37jyGROdxnUKvz(+6r1M5oLFViT#`N%z&i?)E3-NV#bl8-I z8-#_2llBH}e5*Bv54986piO@LstV^I8QjA!R@+L%FMKke@MatH)9KiB**6bq`3x!G zKf|Rli~mBs2y+r-77}eVz%}d9qd|X1rjYg?(F)33VzE?wgfBe{&@SBWB8@p9)Kj&K zt3jUl;FEB9G;bT486STM%Pc!PdwhKSUOvN{s;!-UeV@@*Ve0mHQiGbBTGZurl87*P zafxOJjs&-QZwE7(NP#u({Q2|nT%g0@1s)~?FQg|$?n7c+wO7CdL!sMYI3R2ic*I>8G8A3#HidKaq?6s#Dmp#S)YLkVj< z8)h=l-}~|AFZyC;cj+OOdc!VhbX!D&Bk$Y*7zFU^92ls$vx&;__nTO_8$pPLkS?x$ zY1kp7=!-gPuQks2-pU zB$pQs=Bc<(`MxV2&X(8t2mbrlt_cy+C?tghRka%$9!R4K_ z7-4h$`nlz2nNQ(nq!o8eR^4Wb>22)nFy$s!>H zIvw+}L(~3uKK{kgoB%hnoor+@SOe z0bU4qfEQgrzq^Mr4g?F41RC54WH$h8#3w1EK*`|0an;qB-2qLCw7WR$kiSNoN+$Ql z6fss@xstH;Kn4b&@Uj4C`D7dnB@6xkO@YcB3=X4%ict=Kh&NzpXlP9SuJ?j%H=3~u zg&DS&=hrpUL2BT}J|^mA_cdqmQegDzA{aRrbdl&f$m_ot@WL>_0B8Yt#Rz`mG+IE^ zIb%${4Eai9_b~AZ8~312$H-omld@L%OGmJ+b?3tUe0`;m@?fB%xgwk07=Fw(1T0JZ z``J3~M|x-LxNf{6+iBe?Lk8`;e?VgrfgX=~2v#H*TV+sZn-6yv`5jP2su*a+FF1Y> z12L-J^)_Mx2eUzFaMb8skVS6#;rx|lXT0gBW_T8Cp(E};DKmFS+bD?d!fNEx-=lNk z7_(}3neZMTL&R31HOd~^Q4$9ddrqA>$fv}hAa%h{VA)*9mXscFJ^0n1ZDEr2%wZ77TM zh{JVwX<-Hp(L?A0c=1Fft}lYYXaf7d>ymL4{2@#hqyXS>69)FU<=qAVHWA3EWJiOO z)Hhz>L3H5TyF#kL#%aD)%_j37zE7UiXj#r22^RSV!w4PeG@+OGd<7Z=th@Eyp^LmN zEIxjaFES<}DH}6s2wVG^xOxlnQMjt+Q{v*{Kw`c6@Zm$@Q85s~YdkJoyC55qxl;&VP=VJSLn87k>;z_xe&Ho7}WNxX14U@Va5 ze&PUnhOOf+H<}Sjvy{nMNhCk^Y1bKHG-rRDDx%jpi86%gYcd5whK`Axh4cr4lrS>> zFK%4{xM@tiL`8UOaG|7Gh2muNqk`z{`YCHeDP!O+S!Dy6N zG6|6zlLw<@yfKXt(>fFz>1L5pocQKanl=DUwp|sf68;6LT;n1=YRnVNe&Mwm*uMz* z2A@Zd$RsY#ryAaNfVYg)eDEHz+QxA72?)Vpp@@jevNHKMzb|Dc=w*LrwM-k5fuFTO z8sp`#H>24|>>EQ@Q&d>!QCV5ZG;>i(C(aL$78n36L#Ws*rUG*z&~;KM*1^HSNVR0C>U*7++6!Z*cuT=Z%HbV&i5zqQtRW`pU{EYZX~OFS z4G}?X1}pWN2Hg;`R4?+N>Q11=u%Dk|l5`_4iPW2)>z79fK)7K@BI2!sTfO}n)(C@xYI|H{G*H@gFeRZ zB<{=b`yTo$yzA!xh;k8X28Nca&-Kxaf@fmwWNmh9)yH{k|O9Y#b<}Ix)S+>1@7U+a)`^>U!KfIF*^>;5bViKKvM_D z%Sa0HDk}LVy6~J_y#jxag70hgv6-3P2ka4i4tph(aUt|fY)({P+uK)CNS?Tp)!5V| z;4*s+FA`9KoteDF1n~s&z3|n5g3asD&0Du#p0U;u=vCEsn=?g5g*__z#fuXh8M!q` z=w!-_yuk`oGL35@&PN5CNa8sin^*5U!A5F+V|ss~@ZR=P<#5sZU$Y=>cpC-m-BmVQ}ydH^U@i2_hFK!VC;gIGZPizJTxpbC~|v zSGY|1_CgGIbaoCE+s$%v#|%1WYrL*C|#JJ1@K$ zkT5lf{!zSM>oKYt;NO416iq(n4<6@@=A`FnDsYdH|n;=$TthrUBc1hH9?>u#9Z_6f-K*F zfa~>RsYB`Z{K#QwX*fLcc+i5{pU%Fg7Y7~0tHg*C6dB&(A%MJYUpj-4-PEx+^%g>O zRoe`lp+qv~9l;blMi;N)#gGm+(7W6%YufV16?2F3lRCO($XR5R?el&gA{QZ3AS-*N zcw~@a2jYqX?8G5qGf?rBZiP<7CMn76EfZC_n-iW-hz($PQN_>3)nm|_2^XP6g16@CS{y26e*-3=g`|QS`mG@IY?Ysad~n9mXrZv*i8t z3!@D`nV{k4=O>LDw^>0a@3b`4Ajay0;cA@WMSyr16Ed=sa3{cFL}c)5!DwSAi=`o~|ys%@_E2jr4lg>ptpi(HC zV-2Z9q>Pbo^m|?%zI*)s@Yu$DxNW_>`jKz4*1Q#Ha_lcPpV_6Nz0xC zVPVt2oA&R8Zll^ck75IDJ0$%Dp>xaK$lQ9|LItbx`To&%Hw5>mM7@J+CUv%(64TYuj%$!4Gkdzm%MSC4~*&(*(305x}mA_`GnmPZNi%-VX&bl*`vwkbaHfz z@jr-bR6{WQ%Zs+z0`X&43? zLX2&glizv!rarPV%)HK)~RfR|C} z1r%bA6Fpt|zEd$*FSW`-w{PzP4@i@oXmPu9q~WN9xlnTKa4+oF3-{EENk{u<%Lp5` zZswTi^t`myz(nC$*{&+;l0(RHkRX^&Hdkk6`VBhN_LF1ln1&r!t@??{m2u65H3tJD z>N^>comSoT9=%_@1pWHuz_5Yujc@Xs!_U4Sq3@LN?kpP|kXoePkkSEIp&5}CC838#MhHOQtG6xS=!;OO zWVd{HiD*)9%@Q>=wXD}=R`S%K4~Q{*;5Os(9&xbbThBUib2ct(jYbI+L|~58LsTyy zP6wHp_ka#?XOPawzCL#BSSE)Br?v%LEi3DPq%;`GAyjiU4SGIRV7b|O2z``=ijRRo zTP4+2M9ZV<+C!&plC`$;*ocqqhnh8~qT>A3TQ8p{PbNRqHf8PXVH2D#E5qT?{EUGR zWL@mTNE5PAG~s#(d9-O6#aoVun+4yerKY+%*{T)><1q~rO*mRTm^MtwKSoDKzgh={ zdF$4Tz=HHA5rR=47s7tUkL zW3=*{f`9ty>ArWfPtMb}zQ$sdz`T?cQX2GuxrL$Yr>g3d*zu{AF1Ixd=i&HZ5H9I= zwYQe-#9r=i5{_QdF)&E2P;1C`ZS2{%@5>vN1JGE2j|@H&7sm4g?I=EE98TcKgyjV) zoxp>z?8uQe9o7^5= z+|o<|E%&+aTGMA*`%QHlGSF2g^LO>5#yGdu?ETJ7$^95tbs7-9!f;_(rE@~g+T&Hv zpZk~my|cZN#GVL=G@DX>l+FChsD>ujUE!ITKV){fUQ%AE)lqC}#C4Ie=>C#uE3E(~ zM_82auce2moxw#0_)@abnY!t9!;xHo0hV$`Kt&XTo~usLaC`>VXY_9TzaZB_W1#v)J_+K~7K zrw@9jtDX5~(|Z-#Md0~=|9bu&28$K-Dl^PO%wnf!aEwD|iyLC7K-+cV7B z+qF=-kRK-LyT$4|3vnHJ8HcZKTz$Xnd{WY|BOWl&P~s{XikhXi4~IrIiB)55AjFHr*zx{ZUTwN~U1GB8l&BvN#)-w!B%I z)%@zJltbgVaTM*k)@&sRv|ZjcJOZ5AMuI@U{{71a#CTb; zRNuSiihKrC(#z)qmdx z3^V9sYnT{EK(3&+Pee!q@KBThK^FBMhjlDUm5M9uu}hByqsmxjGTt=pHuGWZESaIJwneb zvD0=*1Ho7)-UeArq~8#Kba8X1&M3Xo9P2*Nd1g6Y@7O3Xr%Z<;B^r5IMTWO%fC17a z&++Le8Rjlcaf@wjRfz$CrSt{8gklm9v!+MK?zLT|Vk+xYsBH?hIn(ie^{Yl815E#W#4^}c+1}|w7sHk)_3mALY2eZ-U>0pG2t;M8p(*tYy8R;3 z#Be#{U>%*u;Pr?8iav0l+j=wG|Lp`lN_Xq9fvN%Ksw-ue zPjK>DT=FN(m$0?cK=2lz204eCUKD{y&_U*BFZ^+2N2v{tiXdg0H`|2))TH5JXCyI) z5r4dDbN{&3H~0+={XFRM&+1mRVL*ymO*K)whZ^>$8{g4K-Lg$2x*TvQaaTmgd*Qxo z!XRaNb^mXF}!{4|Orz9Lq#Jm`p{ieTVuRZlg`d7#@W$WxrEUO;>M-hFPK!D!S#vSPdJD z?B#75Jj({_-#b1qU-uN5!UD;0d0_~d zdmFNA1en0UG;hYEcHnkH2U%AZ(cTJ93AU9~>vdU;-4J-Ru6NWEY#e8KOD&WmXYV~V zG(!?|_nN%wL6@A9n;UC3vNn}YoaPW)^x0h_$xG638%rUgdk2+g40%Mz4fHNe2+C^I zW;^2JT{Arq+r!yGwMUFzEpKRfPaL4W*q0V%2bf|~F!|?>Q>zTm*EiDmt8e?x?3136 zk;pL$qT~|!Bby2;li0nfDJd@b!Tkm)@9-HgogY4RgJ1>VUuvsrvIggpm>#f!`X;Z{_h)ReW82S z*5AnQ>gTVv9AHL#Kt(d=9K87gkG8hxTb`?FnIz@>*?)7?0<-i zA%?)_Eie!LaoMzGm3OmIHDiYpMgr)IR3l@$pcb4`#s2ac+iUBAcG&8j%G2C;5BYj0 zTntRJ^o)c>?uKibVw&PnJB87Q#=U_<9K>Fvh<^|_@D z7u5+$>Q0)wrogML4Cx)%muL@4)PGIeZ9CGiOMGUSDM8^fLbYXkhKxugmJ}iHZ;TZZ z>L$N9?toUQfN50ZOd@Qhs7tQ5|BYV5<}fr^qQp`wjcTo$)I41XgBl?>51uSRu&>sP)cq zbk+r!RrHx6JTlv%>{yxqlVxsgs`CeVY$s)^CZ->P98QCQz!Pt~LPEAEreRkgWcLMp zc;5)IA?5S6-}$w}b-2jjtKz+`yM5*fp|anCDxKu?~hJRh(g#wOUJ`kOeSPQoTW6=piqQQrdtL^Bk^44#Qxl zlSrqr_F0R1j`Rz*HR4^gILvIh^zGkZqo^9rDBokMb7F00e~*HBK(7(sY%=0BgYM#lM8J~B*&!gC{7UqhdBujOcf(bu1xut zR!6>z4<}BEFD+&5U19mr9@HTFt`x}j=FOYskCas5Ne4cK3Y1ED`SK_6i|?QX>@)nE zVl-Jzz+0j(VPE0^1Z1FeTAFO5n2Dv4_V3D9c5^`s!0SbJ`GbV4OxHolV7|z}sKJdq zn+bleS57c*eVL*xXs|E>cg0uGNeD6^HQCxg}Jnhde(bdQ=DmGDY(}09puxVL&c_pRisoHVqok2e& z#RxP6{p|!-g9u0x@8O>F8Mii~kcOS62_|Bxw0@$)MMYeEwbd9n5n!tCuxC(0sJ)M> zs;1)02pRh8c;}wzEUB%O1^{reIiLl)f$oue3@5wBU~j8S)bu8M%^eOgxSzW22|YC8 z6CrO&DbAJ>$bMd|9;>I?>qzO!tcHtiNb5s`pv*n>!&<62i(x&7?O?GuRgMSU0&EdA z$}+U#5Dj|E@_TS50`jcjq@#>5wQ>g73d$dkO`k6ifEk(kGRQMXx~1UH7#^j@NXD!* zNPv@KIU!?Kl22K+mRq(c?)a2eeNWOw`qqqbWY#|9>AyT%7;}wM&%jwR&e5y+ojVN^ zFp@TL%)DPZ1I&4*mx-JxmrNBsO>P&==!3u()1?7TTHGTvAm!zbGGkR5Ij>kDp{e)_ zC98~`0P!vJa|v)e2xTIWq1T?zME#i31X$J z1WSt{lKP4v6<<8?EY>5)K1!h$x42X1ZZ}TM8eXlYqOuuuHvP+Qr9|=G`@x;5@n#gU zA-%&llE==AMfwv5CK<%LbP2Q8u8m6^jQ5+c^U5;J4+RAUE5r4QP=hi9@aihqfO{w@ ztqRwJSd~Tx0Xp(UE#D3dFPtdD6It~}ob$)`sf0465q(@=e~o{;UxB=!SUs`U5F{(X z4hV>PU!==gq}>8OXJfzYpr^oou??ppubSj;@g*#e$s`QygcSlmGbmm})6Uj!1c#S| zAqD?s()edbURb{)0YyQPLbJIpyvMT#+1bj!s2%4JL&qUV#7NR(WQG9NB0m`-4v&Ud zWeB7}Jf^j!OZ=oRoBaL3QA8a9_8?O6hKBFm1_nIGTqO<=PtVZd`&%nMyMNhJFZR^A zw48hsDTf0Grv6~fZ%t?MDzAs1dczUepS)1;?Qu7sVjIK z8Q}mcTC@LXRbi_FOCXpKT@oL4@}xy%(7dHfAB>AZ#j@S}i2lNNZTBG9tq4$_v9Q{S zqAM+;D0J7?T?S diff --git a/epymorph/viz.py b/epymorph/viz.py index 8b24d8f1..e44c948d 100644 --- a/epymorph/viz.py +++ b/epymorph/viz.py @@ -1,15 +1,13 @@ from graphviz import Digraph from sympy import Expr, Symbol, init_printing, preview from epymorph import ipm_library -from epymorph.compartment_model import EdgeDef, ForkDef +from epymorph.compartment_model import EdgeDef, ForkDef, CompartmentModel from typing import List, Union -from shutil import rmtree -from os import mkdir - -""" define constants """ - -# constant for directory in which edge label temp pngs will reside -TEMP_PNG_DIR = 'viz_temp_pngs' +from tempfile import NamedTemporaryFile +from matplotlib.image import imread +from os import path, makedirs +from shutil import copy +import matplotlib.pyplot as plt """ class for keeping track of the edges added to the visualization """ class EdgeTracker(): @@ -48,86 +46,112 @@ def get_edge_label(self, head:str, tail:str) -> str: # not in list, return empty expression return None + """ clears all tracked edges """ + def clear(self): + self.edge_dict.clear() + """ primary function for creating a model visualization, given an ipm label that exists within the ipm library """ -def render_model(ipm_name: str) -> None: +def render_model(ipm: CompartmentModel, save: bool = False, + filename: str = "") -> None: - # fetch ipm transition data - ipm_transitions = ipm_library[ipm_name]().transitions - - # init graph for model visualization to save to png, strict flag makes it - # so repeated edges are merged - model_viz = Digraph(comment = ipm_name, format = 'png', strict=True) + # render model as a temp file + with NamedTemporaryFile(suffix = '.gv', delete=False) as temp_gv: - # set graph type to left-to-right - model_viz.attr(rankdir = 'LR') + # init a tracker to be used for tacking edges and edge labels + tracker = EdgeTracker() - # set node shape to square - model_viz.attr('node', shape='square') + # fetch ipm transition data + ipm_transitions = ipm.transitions + + # init graph for model visualization to save to png, strict flag makes + # it so repeated edges are merged + model_viz = Digraph(format = 'png', strict=True, + graph_attr = {'rankdir': 'LR'}, + node_attr = {'shape': 'square', + 'width': '.9', + 'height': '.8'}, + edge_attr = {'minlen': '2.0'}) - # set a minimum edge length - model_viz.attr('edge', minlen='2.0') + # clear graph so repeated calls of render model do not repeat edges + model_viz.clear(keep_attrs=True) - # init directory for temp ledge label png files - mkdir(TEMP_PNG_DIR) + # clear tracker, see above + tracker.clear() - # add ipm edges to graph - add_ipm_edges(model_viz, ipm_transitions) - # render png of graph - model_viz.render(f"{ipm_name}.gv") + # render edges + for transition in ipm_transitions: - # clear temp png directory file - rmtree(TEMP_PNG_DIR) + # check for fork + if isinstance(transition, ForkDef): + # add fork transitions to list + ipm_transitions += transition.edges -""" -given a graphviz graph and a set of ipm transitions, maps transitions to graph -""" -def add_ipm_edges(graph: Digraph, - transitions: List[Union[EdgeDef, ForkDef]]) -> None: + # transition is an edge + else: - # enable printing for LaTeX labels - init_printing(use_latex = True) + # get the current head and tail of the edge + curr_head, curr_tail = str(transition.compartment_from), \ + str(transition.compartment_to) + + # add edge to tracker, using the rate as the label + tracker.track_edge(curr_head, curr_tail, transition.rate) - # init tracker to keep track of edge data - tracker = EdgeTracker() + # get santized edge label from newly tracked edge + label_expr = tracker.get_edge_label(curr_head, curr_tail) - # iterate through transition list - for transition in transitions: - - # handle a fork - if (type(transition) == ForkDef): + # create a temporary png file to render LaTeX edge label + with NamedTemporaryFile(suffix='.png', + delete=False) as temp_png: - # add fork edges to list - transitions += transition.edges + # load label as LaTeX png into temp file + preview(label_expr, viewer='file', filename=temp_png.name, + euler=False) - # transition is a normal edge - else: + # render edge + model_viz.edge(curr_head, curr_tail, + label=png_to_label(temp_png.name)) - # get current edge head and tail - curr_head = str(transition.compartment_from) - curr_tail = str(transition.compartment_to) + # render png of graph + model_viz.render(temp_gv.name) - # add edge to tracker - tracker.track_edge(curr_head, curr_tail, transition.rate) + # get the optimal size for the rendered graph + plt.figure(dpi=find_optimal_dpi(f'{temp_gv.name}.png')) - # get the sanitized label expression from the tracker - label_expr = tracker.get_edge_label(curr_head, curr_tail) - # form file path to save label into - label_path = f'{TEMP_PNG_DIR}/{curr_head}to{curr_tail}.png' + # show the png + ipm_png = imread(f'{temp_gv.name}.png') + plt.imshow(ipm_png) + plt.axis('off') + plt.show() + + # check if image should be saved + if save: + + # ensure filename not empty + if filename: + + # create visualization directory if it doesn't exist + if not path.exists('model_pngs'): + + # doesn't exist, create the directory + makedirs('model_pngs') + + # copy temp file to png directory to save it + copy(f'{temp_gv.name}.png', f'model_pngs/{filename}.png') + + # file name is empty, print err message + else: + + print("ERR: no file name provided, could not save model") - # save label as a LaTeX png - preview(label_expr, viewer='file', filename=label_path, - euler=False) - # add edge to graphviz graph with label from tracker - graph.edge(curr_head, curr_tail, png_to_label(label_path)) """ helper function for displaying an image label using graphvz, requires the image @@ -139,4 +163,26 @@ def png_to_label(png_filepath: str) -> str: '>' ) -render_model('viztest') +""" +helper function for determining the best dpi (which determines size) for +displaying the given ipm model .png using motplotlib +""" +def find_optimal_dpi(ipm_png_filename: str) -> int: + # init dpi to start at 100 + opt_dpi = 100 + + # get the size of the png file + png_size = path.getsize(ipm_png_filename) + + # for every 10k bytes, increase the dpi + while (png_size > 10000): + + # increase the dpi by 50 + opt_dpi += 50 + + # remove 10 kbytes from the size for loop control + png_size -= 10000 + + # return the determined dpi + return opt_dpi + diff --git a/epymorph/viz_test.ipynb b/epymorph/viz_test.ipynb new file mode 100644 index 00000000..73fff3c5 --- /dev/null +++ b/epymorph/viz_test.ipynb @@ -0,0 +1,375 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# IPM Visualization Test Notebook\n", + "by Izaac Molina\n", + "\n", + "\n", + "## Goal and Purpose\n", + "The traditional way to design a model in epymorph is to first draw a ipm model, then translate that model into an ipm object via code. This project seeks to go in the other direction: turning an ipm object into a model. This is great both for educational and debugging purposes as it allows users to present their model more clearly as well as check to ensure they have implemented the model correctly in epymorph\n", + "\n", + "## Design\n", + "The \"viz\" module uses GraphViz, a software that when combined with a Python Library can be used to convert the ipm into a graph object, which can then be printed as a .png.\n", + "\n", + "The primary nethod in viz is the render_module method, which takes in the following parameters:\n", + "- ipm: the ipm object to be converted into a model to display\n", + "- save: an optional flag for whether the model should be saved in the \"model_pngs\" directory\n", + "- file: an optional name to be used when the file is saved\n", + "\n", + "viz.render_model(ipm: CompartmentModel, save: bool, filename: str)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Viz applied to ipms in the epymorph system:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "

" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import viz\n", + "from epymorph import ipm_library\n", + "\n", + "ipm = ipm_library['pei']()\n", + "\n", + "viz.render_model(ipm)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ipm = ipm_library['sirh']()\n", + "\n", + "viz.render_model(ipm, True, 'sirh')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwYAAACZCAYAAACVHi3fAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAABcSAAAXEgFnn9JSAAA7KUlEQVR4nO3dd3hc1Z3/8fcUTdNoZqTRqNdRl+UmFwkXhHEAO5QEkxAgAZI8hGzKJgsE8gupLFmWhBCS3WQDCZtsGgmkUWIwEIox1cYFXGQVq7dRGY2k0UhT7+8PP3PjboPLyPL39TzzyJZGV2dU7j2fe873HI2iKApCCCGEEEKIc5o20Q0QQgghhBBCJJ4EAyGEEEIIIYQEAyGEEEIIIYQEAyGEEEIIIQQSDIQQQgghhBBIMBBCCCGEEEIgwUAIIYQQQgiBBAMhhBBCCCEEEgyEEEIIIYQQSDAQQgghhBBCIMFACCGEEEIIgQQDIYQQQgghBBIMhBBCCCGEEEgwEEIIIYQQQiDBQAghhBBCCIEEAyGEEEIIIQSgT3QDhBAikQYHB+no6CAcDie6KTOWVqulqqoKh8OR6KaI92D37t34fL5EN2NGM5vN1NbWJroZQswYGkVRlEQ3QgghEuXRRx/l7rvvZnR0NNFNmbGSkpL49a9/TUNDQ6KbIt6D6667jpdffhmNRpPopsxIiqJQUlLCpk2bEt0UIWYMGTEQQpzTpqamqKio4KGHHsJmsyW6OTNSYWEhwWAw0c0Q79Ho6Chf//rXuemmmyQcHMHf/vY37rrrrkQ3Q4gZRYKBEOKcp9VqSUpKwmAwJLopM5J0Ks9eOp0Og8EgP8Mj0OulCyTEoaT4WAghhBBCCCHBQAghhBBCCCHBQAghhBBCCIEEAyGEEEIIIQQSDIQQQgghhBBIMBBCCCGEEEIgwUAIIYQQQgiBBAMhhBBCCCEEssGZEAdRFIVYLEYkEiEWi6HT6dDr9Wg0GjQajfrxWCymfo5Wq1U/Ht9E6MDnKIqiHkMIIYQQYqaSYCDEIfbt28ezzz5LU1MTK1euZNWqVbhcLhRFYWJigubmZrxeL4qiAGC1WiksLCQnJweNRkM0GmVgYIDR0VEikQidnZ2sXLmS1NRUCQdCCCGEmLFkKpEQh3C5XESjUYLBIHPmzMFmswHg9/t54403CAaD1NTUMG/ePLRaLRs3biQajQL7RwoGBwcZGxsjJyeHoqIi9u7dS1NTE5FIJJEvSwghhBDimCQYCHEAjUaDwWBgaGiIkpISCgoKMBqNaDQaenp62LFjB4WFhWRlZZGVlYXb7aa4uJi0tDR1tKCzs5PMzEwcDgfhcJje3l71GEIIIYQQM5VMJRLiEMFgkNbWVq666iqSkpLUDn0wGGTfvn0MDw+TnZ2NVqslKyuLlStXYjab1RqEsbEx3nnnHdrb2+nv72f58uWUlZWh0+kS/MqEEEIIIY5ORgyEOICiKHg8HoLBIBUVFRgMBvVj2dnZZGRkcOedd/LlL3+ZP/3pT0QiEXJyctDpdCiKQmtrKyUlJdjtdiwWC0NDQ1RVVWGxWGTEQAghhBAzmowYCHGIbdu2kZaWRkZGBlrtP7Nzeno6X/ziF9m6dStbt27lf//3f+nr6+PTn/40KSkpKIpCR0cHy5cvJz8/n4qKChwOBy+//DKFhYXY7fYEviohhBBCiGOTYCDEITZv3kx+fj4mk0mdHjQyMkJKSgqZmZl84AMf4LzzzmPBggU8/vjjTE9Pk5KSAkA4HEaj0WA0GjEajeh0OgYGBqTwWAghhBAznkwlEuIAfr+fpqYmampqMJlM6vtfeeUVRkZGUBQFo9FIamoqhYWF5OXlqbUDk5OT6PX6g0YZduzYQXl5+UHHEkIIIYSYiSQYCHGAxsZGAoEA5eXlB9UXvPbaa2zZsoVgMAjsL0R+8803ufTSS7FarQD09fXh8/nUjc22bt3K9PQ09fX1EgyEEEIIMePJVCIh2D8FaNu2bfziF79geHiYHTt2UFBQgMPhAKC0tBSA9evXE4vFCAaDLFu2jPLycpKSkgDwer1kZmayfft2AAKBAFdffTVut/ugUQQhhBBCiJlIgoEQgF6vZ/78+dx7771EIhGSk5OxWCzqx2+44Qa0Wq26kZmiKFgsFrRarbraUDQaZf78+VitVhRFQavVYjAY0Gg0siKREAmkKArhcJjR0VHGx8dJSUlRA30oFCIYDJKRkXHQ37wQQpyLJBgIwf6NzUwm01Gn/CQnJx/z86empjAYDBiNRsxm8+loohDiJAwNDfHHP/6R+++/nzvvvJO8vDxisRjd3d28/fbbfPazn2XFihWJbqYQQiSUBAMhToG+vj7S09MlFAgxA2k0GjIzMykqKqKqqoqbb75ZrSGamppi3rx5pKWlJbiVQgiReBIMhDgF0tPTMRgM6PXyJyXETBSLxdi0aRMLFiwgKSmJYDBIOBxGp9PhcrnIzs5OdBOFECLhpBcjjktRFKLRKIqiJLopM1Z8brLsV7C/XkNqKsRMEj+Hvfbaa3z1q18lEonQ1NSE3W5XNyOM717u8Xi47777eP755/H7/ZjNZhYtWsR3vvMdiouL5XdbCDGrSTAQx9XV1cWtt97Krl27Et0UcRZ45plncLvdiW6GECpFUWhpacHv99PS0sKPf/xj2trauOGGGygsLESr1RKLxWhvb+c3v/kNa9eu5dZbb+W3v/0tOTk5XHfddep+JUIIMZtJMBDHVVhYyF/+8peEff0DRyrkbt3MIT8XcbZQFIXGxkaKioq47bbbCIVCvPXWWzidTmKxGKFQiGg0yptvvklBQQH19fUYDAby8/OZmJgA5HdcCHFukGAgZjRFUdTpOe93/r6iKMRiMWKx2GFLh8ZiMbRa7UHLjp5se+NfL75k6ak69oFfIz61K74/gqIoaDSa0/K14o+4+PFDoRBJSUmyR8NJevDBBxkaGjrmVL0LL7yQuro6dYlN8d4oisK2bduYM2cOWq0Wi8VCbW0ter0er9fL8PAwKSkpdHR0sGzZMpKTk5mamiIUCmGxWKR26CS9/fbbbNiwQd380eFwcPnll1NcXJzglgkhDiVnOzFjKYrCwMAAg4ODlJeXo9fricViRCIRNBrNCc9lHx0dZePGjaxfv56qqiqKi4vR6/X4fD7effddLrnkElauXHlKdieOxWJs376dDRs24PP5qK+v5+KLL8Zms530seO6urp44okn2LNnD0uXLiU5OZmhoSGysrJYu3YtFovllIWcUCjE3r176ezsBECn01FcXExycjJ9fX04nU5KS0vlbupJKC0tpb+/nx/96Ed88pOfpKGh4aCPr1+/njfeeINFixZJMHgfFEVhcnKSffv2ce2116phPTU1lUAgwKuvvsry5cvx+XwkJSWRkpICgMfjYWxsjKVLlyb4FZz90tLSyMzM5Nvf/jYlJSV84xvfOO4S0EKIxJBgIGYkRVHw+/3s2bOHoqIikpKSiMViDA4OsmHDBvR6PVdeeSVWq/W4x7LZbBQUFNDU1MR1113H/Pnz1c3KTCaTeof/WG2JjywcrwOs1WopLCwkFAqRnJxMfX39CV0Ao9Goeuf9eF8jMzMTu93O2NgYH/jAB7BarUxNTXH//ffT1dXFF77wBYxG40m/lmg0yubNmxkZGeH8889Ho9Gwc+dO7r33Xr773e8yd+5cfvGLX3DTTTdhtVolHLxPq1evJhaL8bOf/YzFixezbt26gz7e09NDOBxOUOvObvFRmPb2dnw+H9XV1QDqDYYdO3bQ2dnJpZdeikajISUlhWAwyNTUFO+88w4Gg4FFixYl8iUcJD56d+Df2tnwd+d2u9HpdNx3333k5eVxySWXJLpJQoijkGAgjuvA6STxqTjxC+6h/z7wfUebgx7vhGu12sOOe+DnNzc3MzIyQm1tLTqdjp6eHnbs2EF7ezs2m03dhfh49Ho9TU1NFBQUUFJSQmpqqto5njt3Lnq9/rhTBZqamiguLj7uPgUajUbdYXXx4sW4XK4TmmrT0tJCQUHBCe2DoNPpaGlpobKyEpfLhdlsJhwO43A42Llz53FDzq5du6ipqTluMeXQ0BB//vOf+eY3v0lqaioAVVVVVFVVkZOTg06no6GhgQcffJDbbrtNff3i1IhGo/h8Pm6++WaZsvU+xc8jDz/8MKOjozzxxBM4HA6CwSB79uyhsbGR733ve+j1eux2O8uXL2fv3r309/djMpn47Gc/O6OKjru7u3n44YdJT0/nsssuw+l0qlOd5G9PCHEqSDAQxxWNRunr66OtrY309HTS0tKYmpoiEolgt9uJRCJ4vV5SU1PJysoiKSmJcDiMx+MhHA4TDodJT0/H4XAwNDRES0sLU1NT1NTUEA6HaW1txeFwUFFRod5djy8tuHr1alJSUtBoNOTn5+N0OvF4PPj9/hNufywWY8uWLeTl5WEwGBgaGiISieByubDb7aSkpBw3GGzYsIHrr7/+uB13RVEYHR3F5/ORn5+PTqc7oQv2iy++yIc+9KETCgbxO5033ngjAOFwmMHBQbq6uli2bNkxOzKxWIynnnqKysrK43Z4wuEwbW1tjI2NkZycjF6vx2q1snbtWnXEYcGCBdx3332MjY3hcDiO23Zx4rxeL1/4whe44447WLx4caKbc1bSarVUVlbyk5/85LjPTUpKYu7cucydO/cMtOz9CYfDbN68mWeffZZvfOMbXHbZZVx88cXMnTuXvLy8E74RIYQQRyPBQBxXfG3vP/zhD+Tm5nLZZZfh8/l4+eWXWbRoEcXFxWzfvp3h4WGuueYacnNzaWpqor29nczMTLq7u9FqtaxatYpAIEBjYyP/+Mc/+MxnPkMoFGLLli0sWLCA4uJidX78xMQEHo8Hk8l00oV/Y2NjtLS0UFtby+7du+no6KC0tJSMjAxycnJO0Xdpv/j3SqfTUVBQcFou0n19ffT09GA0GmlubmZsbIzu7m4uvPBC1q5de8rmoaekpOB2u/nBD37AnDlzKCsrY8WKFcyfP/+gsFNdXc327dtZtWrVKfm656pAIMD69evp7+8HYHJykpGRkQS3Ssw08dHViYkJHn30Uf70pz/hdrupq6ujvr6exYsXU11dfULTLIUQ4lASDMRxJSUlUVZWRn5+PlarlfLycnw+H+vXrycQCFBaWorRaOT+++/H6/WSm5tLR0cH4+PjnHfeeQD84x//oLKyksrKSj72sY8RjUbZu3cvpaWlfPzjH1cLguO8Xi82mw2DwXDS7d+3bx8AixYtIisri76+PrVjG5/bf+hUp4mJCXVKjqIoBAIBfD6f2sakpCTMZvNhd90jkQiNjY1kZWXhdDqPOlowPj5+0FSoQCDA2NiYulGaTqfDYrEcccThjTfeoKioiLKyMoxGIy+99BJ+v59bb71V/fy4aDTK+Pj4Qe2bmprC5/Op31uDwXDEgmWbzcaXvvQlNm7cyO7du1m/fj09PT188pOfVF+3RqOhpKSE9vZ2CQYnSafTkZaWRl5eHgATExOyGo44pvhqay0tLTQ3N/O3v/2NiooKysrKWL58OYODg4luohDiLCNXHXFCtFotZrOZ1NRUjEYjOp0Op9OJ3W5XPxaNRtVlOpcvX87Q0JB659/n8zExMYGiKKSkpLBixQoefPBBbDYbK1euPKyDPTw8jMlkOun5vfH1y1NTU5kzZw5utxu73Y5GoyEWi+HxeMjIyDgogASDQZ588knGxsbUY2zZsgWdTqeuWFJcXExDQ8Nhd+XC4TA7d+6kuroag8Fw1GCwfv36g+4Gv/nmm0xPT6vTcbKysmhoaCA9Pf2w17Np0ybq6+spKirCaDSyePFibrnlFj7/+c8fFgwmJiZ47LHH1OLVWCzGtm3b+MMf/qB2OquqqmhoaDioE+r3+zGZTLjdbnUt91dffZUHHniAG2644aCfi8vlYtu2bYcVRYr3xmg0ct5553HdddcB+2s8XnzxxQS3ar9gMMjNN98sd6ETLBQKMTAwcNjStvH/+/1+tm7dyvbt23nmmWeYmpri0Ucf5fLLLyc3NzcRTRZCnGUkGIgTFl/mD1DXzD9Sxz0Wi9Hc3MzGjRspLy/HZrNhtVoJh8NEIhGSkpLUlYLa29sZGBigpKTkoGPodDoikcgx13aPiz/n0CJm2H+HfO/evbjdbhwOB1qtlry8PBRFYe/evQSDwcM63yaTiWuuueag4weDQa677jpcLpf6+g997fGVlDo6OrjyyiuPOaXnox/96EGvTVEUrrjiCnVq05GOD/s7aLt27eLKK69Er9ej1WqZnJzE7/cfseDbbrfz6U9/+qDvh8/n46abblJXLjrw5xq3YcMGNZgYDAbS0tJYsGABmZmZh3X+Jycn1cAkTp309HR+85vfzIglSvV6Pddffz3z5s1LdFPOaR6Ph1/+8pfs2LHjqOfGpKQkLBYL+fn59Pf3s3btWrKyss5wS4UQZysJBuK44htqRSIRIpEI0WiUUChEMBgkHA6r/49Go4TDYQKBAH/5y18oKytj9erVtLS0EA6H6evrY2RkBIPBQE9PD2vWrOGpp57i2Wef5SMf+QhOp1OdOpOdnc3Y2BjBYFBtR3yH0kAgQCgUIhQKqdN9hoaGCIfDZGZmqne+Y7GYOh9/9erVmEwmgsEg0WiUkZERXn31VS677LLD9i/QaDQHdcbiG4klJSUdtZMW34jtnXfeQVEUioqK0Ol0R72LfugUEZ1Op66OdKTnx38Gu3fvJhwOU1FRoQaHffv2kZaWRjgcxuv1YrVa1RGQQ19LPNAd67UAvP766+rUMa1WSyQS4Y033uDGG288LEQMDw+Tm5s7Y0YLAoEAra2tWCwW7Ha7OiVtprTvRGk0GoxGIx6Ph+npaXJzcxM2tUin07Fy5UouvvjihHx9sd++fftYv379Ye/X6XS4XC6ysrKora1l3bp1nH/++Vx99dXYbDYpSJ6lFEVhamqK0dFRpqenDzrfCfF+STAQxxWNRhkcHMTr9RKJRBgdHaW7u5uhoSE8Hg8DAwM0NzcTDAbp7e2loKCA0tJSkpKS6OvrAyAvLw+/309TUxMdHR34/X6uueYa5s2bx2OPPYbD4eCCCy5QO/bxkBAOh9WlRQOBAE1NTXR2dhKLxWhqamLevHkYjUa2bt2Kz+dj7dq16nScsbExtmzZwtjYGIFAgN27d6urBm3bto3MzMzDpt68X5FIhLa2NjZu3IjFYmF8fJxIJHLKTtCxWExdrnX+/PkMDg6Sn5+PVqulvLycmpoaenp6MBgMlJaWnvTXc7lcDA4OsmvXLrRarXrRueiiiw7qZCiKQltbGytWrDjpr3mqdHd3c/PNN6tTodxuN3l5eeTm5pKbm0t2djYOh+OsCQobNmygvb2dW2+99ZRulCfOXvElnW02GwsWLGDOnDksWbKEhoYGiouLz5rfbXFy4tNhn3jiCXbs2MH111/PwoULSUtLS3TTxFlMgoE4Lo1GQ1pamjp9JTk5mfz8fD7+8Y9jt9ux2+2Ulpbyuc99juzsbGw2G+vWrWN0dJSUlBQyMjLIysoiFAqh0Wgwm82YzWasViuLFy/G4XBgt9uxWCxqp9NgMFBVVcXg4KC6vr9erycrK4uPfOQjKIqiLo2q1+spLi5maGjooHYbjUaqq6u55ZZbSEtLIzk5GUVRsFgsmM1m3G73CU+BiddSHI1Wq8Vms3HppZeyZs0acnJy3tNdOpvNdsx6Co1Gg9VqZfny5dTX12Oz2dSL/7Jly8jJycHhcKjf22N1DE6kU3z99derAQf2X4CWLFlyWBtHR0cBDpsKlkhJSUloNBo2bdrExo0bAUhOTiYnJ4esrCxcLhcZGRkUFxdTUVFBZ2fnCe+JcTp861vfYvPmzUxMTPCLX/zisLqC1tZWtYhfCJ1Ox7x581i1ahX19fXMmTNHXdFtpnrxxRf5+c9/jsfj4a233uL222/nU5/6lLrhnHh/tFotdrtdXURj/vz5Mq1TnLRTFgxOZC642O9su5sTH6aOz6+Hf+4mHJeenk55ebn6f5PJdNDzD1RUVKT+22w2H3HJUK1Wy/Lly9m0aRNut5vs7GxMJhOFhYUUFhYe9vzs7Gx1bi3s/x4nJyefsgvPhRdeeMzCS51OR3Z2NtnZ2e/r+CtXrsRutx/141qtlvT09MPqIQAsFssJv06tVsuaNWuOW9QdXxnnWHeeotEoGzZs4JJLLplRGyyZzWby8vLYvHmz+r7JyUlaWlpoaWkB9n8frFYrNpuNYDCIXq+ntbWV2traM/46rr32Wj784Q8f8zkZGRkntIO2mN0yMjK45557MJvNZGRkHHSDYCabO3cud9xxB7fffjuw/8ZP/Bwj3j+NRkM0GsXj8VBZWYnT6QQO74/FR5jOht+VQ0nf8sScyp/tKQsGzc3N/PCHPyQQCJyqQ846er2edevWcfnllye6KTOeRqMhPT2d4uJiBgYGcDgcR1xSE/afOMLh8BGLj0+VA8PM6RAPWaf7xK3RaHC73afk63R1dakr6SRCvNg6vhpW/G0wGCQ5OfmYO0DHYjH8fr8auIqKinC73Wew9f8kd03FibJareoGbGdTJ+/QG0vi1IgveNHZ2cmFF16IRqMhHA7zzjvv8PTTT2M2m7nxxhtxuVx0dHTgcrnOupXF7r//frZv3y51MkehKApOp5Mf//jHp+yYpywYDA0N8eSTT3L99dfLD/AIFEVhw4YNVFdXSzA4QUajkTlz5qjTVY7FbDZjMBhOS3HmmbgAn6mL/KkMToFAgA9+8IPq1J3TJV7YPTU1ddAjEAgwODhIR0cHvb29ar2Lx+Ohq6vrqMeLF7fPnTuXL3/5y3R3d/P8888ftp+FEDON/H6KA8ViMYaGhlAUhTlz5hCLxeju7mbv3r0UFBTQ19fHli1bWLp0KRMTE2dlONu0aRNTU1PU1tYmuikzUktLC+vXr5+ZwQD2n7T+4z/+Y0YsrzfTRCIR2tvbE92Ms47Vaj3uHY74/HtxZs2ZM+eUHzMUCjE2NobP58Pn8+H1ehkeHsbj8dDX18fw8DCTk5MEAgECgQAGg4H09HQyMzOpqKhg1apV5OTksGnTJv793/+dSCSiHlur1ZKZmUl9fT1XXXUVH/rQh7Barfzf//3fKX8dQoizw9TUFNu3bycvL4+0tLST3jvnTAqHw+zbtw+n04nT6SQcDjM9Pc3ChQvJycnB7/ezY8cOPB4PRqMRs9mc6Ca/L1dccQWf//zn5abzETz++OO8++67p/SYUnwshDjjgsEgw8PD9Pf309XVRW9vr9rxHx0dJRAIqEuqGgwGdSnGqqoqHA4Hqamp6iM9PZ3k5OSD7qaOjo5it9sZGRlBq9VisVhYs2YN69atY9WqVUfcj0EIce4ZHh7m61//OsnJybjdbubMmUNNTQ1lZWUzvpA3HA7T2tpKXl4eer0enU5HQUGBet5MSUmht7eXiYkJ3G63dKzFCZFgIIQ4bYLBIN3d3TQ3N9Pe3k5HRwft7e309/czOTlJNBrF4XCQn59PdnY2lZWVFBYWkpubq64eZbFYsFqt6nSxE+nQp6Wl4XQ6GRkZYfXq1XzpS19i4cKFB+1zIYQQLpeLu+66i5aWFnbs2MGf//xn7rvvPux2O9XV1dTV1VFXV0d1dfWM6ljH6wsGBga48MIL0el0aLVadZGC+J41VquVjo4OFi5cmOAWi7OFXCGFECfkwB2mY7HYQQ+/309bWxutra20tbWp/+7q6iIcDmOxWCgqKqK4uJiFCxdy1VVXUVJSgtvtVjd20+l06uNk5/s7nU4uvvhi7r33XnVFqbNpioAQ4swwmUwsXrxY3RguPp1x8+bNvPTSS/zkJz/hm9/8JtnZ2dTV1XHBBRewYsUKUlNTT9n56r2KL7rQ09PD+Pi4OhpwtM0048thyyipOBESDIQQh4nFYup81WAwqBb8TkxM0NXVRWdnJz09PfT399PT00NfXx9JSUnY7XYKCgooLi6mvr6e4uJi9XG0O/Wn42JVXV3Nj3/8Y/XYckEUQhyNRqNRO/lGo5GUlBTy8vJYt24dsViM1tZWXnvtNV577TXuvfdeJicnKSwsZO7cuSxdupSamhpsNht2u13dLf506+/v54UXXmB8fJyuri4qKioO28siFosxOjpKSUmJ3BgRJ0yCgRDnsFgsRiAQYGxsjJGREUZHRxkfH8fr9TI4OMjAwAA+n4+xsTF1N+eUlBRSU1PJzMykrq6OdevWkZubS3FxMS6Xa0ZM1ZlJQ/5CiLPHoTcRdDodFRUVVFRU8KlPfYrx8XGampp499132bFjB7/97W8JhULYbDaKioqYO3euusN6fn4+KSkpp+XGhNPp5KqrrmLt2rVkZGRgMBgOe040GqW7u5vq6mq5OSJOWOKv4EKI0y4ajeLz+dRlPT0eD4ODg/T39zM6OorX6yUYDGIymTAajWrBb3Z2NtXV1TidTnX1H6fTic1mmxEBQAghzhSNRoPdbmfp0qUsXbqUWCzG4OAgnZ2d7Nu3j3379vHSSy8xPj5OOBzG5XJRUlJCVVUVNTU1FBUVHbED/37aYbFYKCsrO+pz4vv7hEKh07a/j5id5MouxCwSDocZHBykq6tLnfITfzs8PMzU1BR2u5309HS1s19bW0txcTF2u52UlBSSk5PVh9lsliFoIYQ4Aq1WS1ZWFllZWdTV1REKhfB6vXi9Xvr7+9m9ezd79uzhueeeY2JiguzsbGpra1m6dCl1dXVkZGSc1vbpdDoWLlyI0Wg8rV9HzC4SDISYwQ4s+I0X/cY3/PJ4PGqx7759+2hpaaGpqYmxsTE0Gg0ul4uioiIKCwtZvXo1breb6upq7HY7Op1OLfrV6/WnfZMyIYSY7QwGgxoUKisrWblypVqj1dPTw+uvv86bb77JI488Qjgcxu12c8EFF7Bq1Spqa2sxmUxotVp1KuTJnJM1Gg0mk4nKykqZWineEwkGQswQ0WiUYDBIMBhkenqaUChEMBhkaGiItrY2Ojs71RDQ29tLNBrFZDKRkZFBcXExtbW1fPSjH2XOnDmUlpaqm9kc6eIiIUAIIU4frVaLwWDAYDBgtVpxuVwsXLiQL3zhC0xNTfHuu++yadMmXnrpJR555BH0ej3z5s2jtraWuro6CgoK1A0+TSbT+zpnx4uqhXgvJBgIcYYFg0F8Ph/j4+NMTEwwPj7O2NgYXq+X3t5eenp6GBsbw+/34/P50Ov16vSf3Nxcli9fjtvtJjc3l5ycnMM29xJCCDFzHHp+tlgs1NfXU19fz2233cbg4CDbt29n27ZtbN++nQ0bNqDT6cjOzqaiooKamhqys7PJysoiMzPzhPdzEeL9kGAgxGkQX+1naGiIoaEhBgcHGRoaYmBggMHBQTweD8Fg8KC1p61WKxkZGVRWVpKRkYHL5VLrAJxOJxaLRS4GQggxi8TrFNauXcuaNWsIhUL09vbS2tpKS0sLbW1t/O53vyMcDpOUlERRURFlZWWUl5dTVlZGVlaWjAqIU0qCgRAnIb65V19fH93d3Wqh7759+xgYGMDv96PVaklNTSUtLQ2Hw0FGRgaLFy8mOzsbq9VKcnLyQW+NRqMEACGEOMdoNBqMRiNutxu3281FF11EIBDA4/EwPDxMb28vu3fv5uWXX+a3v/0tiqJQUlLCggULWLJkCbW1tYftZSDEeyXBQIgDxIt94/8+8OH3++nq6mLfvn00Njaye/du2tra8Hg8hMNhTCYTeXl5FBQUUFJSwmWXXUZlZSXp6ekkJSUd9pDlPoUQQhyNRqMhOTlZDQqxWIw1a9YQCASYmJhgz549vPbaazzzzDPcf//92Gw2FixYwIoVK7jwwgtxu93qjseyZKk4UdIzEees+O6+oVCIcDisPuI7Se7Zs4e2tjZ1JGBoaAi9Xo/VaiU/P585c+awevVqSkpKKCsrw+VyqUO6h56E5YQshBDiZGi1WsxmM2azmbS0NAoLC1mzZg2KojA0NMQbb7zBq6++ym9+8xvuvfdeXC4XixYtYtmyZSxdupS0tDQsFgtmsxm9Xi/XJXFEEgzErBeJRNQ7LH6/X30MDg7S3d2tbvI1OjqqFgUnJyerJ95Vq1aRn59Pfn4+BQUFBwUAIYQQ4kyLd+rjb7Oysrjyyiu58sorCYVC7Nu3j23btrF161YeeeQRfv7zn5Oenk5JSQk1NTWUlJTgcrnIzMwkLS1NRhSESoKBmDXC4TA+n4+RkRG16Le/v5/BwUGGh4fxer1Eo1Hgn9OEMjIyyM7Oxu1243K5SE9Px+VykZGRQVpamgQAIYQQZxWDwUBVVRVVVVVce+21jI+P097eTmtrK3v37uXVV19l/fr1xGIxnE4npaWllJSUUF5eTnFxMTabTULCOUyCgTjrRCIRhoeH6enpob29XZ3u09/fz/j4OFNTU5hMJmw2GzabjaysLKqqqsjNzSUlJeWgh8PhwGq1yklQCCHErKPVanE4HCxcuJCFCxcSjUbxer0MDg7S399Pa2urWqvg8/lITU2lrKyMBQsWUFdXR0lJidTDnWPkpy0S7tCC37hoNMrAwAC7d++mublZ3dyrvb2dQCBALBbD4XBQUlJCSUkJq1atwu12U1xcjNlsxmAwYDQaMRqNGAwG2d1XCCHEOU2n0+FyuXC5XFRXV9PQ0EAgEMDv9zMyMsKOHTvYvHkzP/rRjxgZGSErK4tly5bR0NDAihUrSEtLAw6fyvReHHidf7/HEKePBANxxiiKQjQaJRKJEA6HiUQiRCIRpqam6OjooK2tjfb2djo7O9VdfiORCBaLhYKCAtxuN8uXL+eGG25Qw4DZbFb3ApCCXyGEEOLEaDQakpKSsNvt2O12cnJyqKmp4brrriMWi9HR0cHGjRt58cUX+epXv0ogEKC6upolS5Zw/vnnU1VVpe7MbDAYTnjqbSQS4emnn2bBggXk5ubKiMQMIz8NccopikIwGGRyclJ9jI+PMz4+zsDAAN3d3Xg8HkZGRvB6vQwMDJCUlITD4SArK4uCggKWLVtGYWGhWvBrtVoT/bKEEEKIWSt+c02r1QJQXl5OeXk5n/nMZ9TlUbds2cJbb73Fd77zHWKxGMXFxZSXl7NgwQIKCgpwOp04nc5jTtHt6urinnvuIRAI8K1vfYsLLriA9PR0uZk3Q0gwEO9bLBZjamqK0dFRPB6P2tkfHh5meHiYoaEh/H6/uiSoRqPBZrOpKyHMnTuXjIwMMjIyyM3NVbd6F0IIIcTMkZKSQl1dHXV1dXzuc59jaGiIvXv3qo/f//73RCIRkpKSyMvLo7KykuLiYoqLiykoKMBgMKgd/+bmZoaHh+no6OCmm27i2muv5YYbbmDx4sXSB5gBJBiI44rFYkxMTNDV1UVPTw+9vb309vbS19fH0NAQExMThEIh7HY7DoeDlJQUXC4XdXV1pKamYrPZcDgcpKWlYbfbsdlsJCUlJfplCSGEEOI90ul0ZGVlkZWVRUNDA8FgEI/HQ19fH319fTQ3N/P666/z+OOPEwqFyMvLo6qqivnz5zN37lwaGxvxeDzEYjHGx8f51a9+xVtvvcXHP/5xbrrpJux2u4weJJAEg3PUocU/8fcNDw+rK/3E37a1tdHf308oFCIlJYXc3Fxyc3PJycmhrq6O8vJynE4nZrMZk8mkFvuaTCZ1/r8QQgghZheNRoPJZKKwsJDCwkIURWF6epqJiQkmJiZoa2vjrbfe4q233uKXv/wlWq0Wv9/P5OSkeoxQKMSOHTvo6Ojgueee44EHHqC6ujqBr+rcJsFglovFYkSjUbXoNxKJEI1GGRkZYd++fWoAaG9vZ+/evYyMjKDX63E6nRQVFVFSUsK6desoKSmhsrKSjIwMdDqd2uHXarXqfEQJAEIIIcS5S6PRqLszu1wuiouLWbVqFdFolEAgwLPPPss999xDb2/vYZ/r8/l46aWXaGho4Pbbb+czn/nMEW9iitNLgsEsEY1G1ZQ+OTlJIBAgEAgwOjpKV1eXOvWnt7cXj8dDOBzGYrHgdDrJz89n0aJFXHXVVZSXl1NSUoLD4ZCOvhBCCCHelwOLmfV6PUajkfz8fKampo76OZFIhJGREb7zne/w5ptv0tbWpm5MKs4MCQZnmVAohNfrxev1Mjo6qv47vttvf38/gUBADQp6vR6Hw4HL5aK0tJTzzz+f/Px8srOzyczMlLl8QgghhDjtotEo3d3ddHV1HfT+eIBQFEUdIQgGg2zYsIFIJEJLSwvhcBij0ZiIZp9zZlUwUBSF3t5ennnmGXbt2sXk5CROp5Pq6mrq6+txu91nRdFrfI6ex+Ohv7+f/v5+9W5/X18fIyMjBINBzGYzFosFs9l80A6/qampaqGvw+HAbrfL7r5CCCGESJjp6Wl2795NKBRCp9PhcDhwOp1kZWXhdDpJTU3F6XSSlpamLnn6wx/+ELPZnJD+i6Io/Nu//Rvj4+OHfcxsNlNTU8MVV1xBbm7urOpfzapg0N3dzW233YZWq+WjH/0oOTk5dHZ28uijj/LAAw/wyCOPzIiClgPnzAWDQXp6emhvb6ejo4P29nYaGxvp6uoiEAig0WhIT08nOzubrKwsqqurKSsro7CwkOTkZEwm00EPo9E4q35BhTgT2tra+Pa3vy1L5R3FsYb+xcz2t7/9jba2tkQ3Y0Zqbm6WOexnkF6v59JLL2XFihU4nU51oZL420MfWq2WP/7xjxQWFiZsE7RPfvKTPPXUUzz00EPceeed1NfXEwqF2Lx5Mw8++CBvv/0299xzD1lZWQlp3+kwa4JBJBLhhRdeoLGxkf/6r/+ioaEBrVZLXV0d2dnZ3HHHHQm/uIXDYV5//XXuvPNOtfA3XoBjtVopLCyktLSU5cuXc+ONN1JWVkZOTo76B3LoQwKAECfP7XZTV1fH6OhoopsyY334wx8mOzs70c0Q79EFF1zArl278Hg8iW7KjGSz2bjssssS3YxzhsFgYOnSpcA/pw/NZBqNhrlz57Jz504MBgNlZWUsWrQIRVGYP38+gUCAu+66i2uvvZaMjAx1IZaz3awJBrFYjM7OTkwmE3a7Xd2aW6fTUVNTw8UXX0xycnJC2xgOh2lsbASgrKyMNWvWqBuAxAOAEOLMOv/88zn//PMT3QwhTrmvfvWriW6CEKqzIQycCI1Gg8ViobCwEJ1OR2trKxdccIEEg5lGq9VSUlJCT08Pf//733E4HBQVFaHT6UhPT+e73/1uopuIxWLhs5/9LHfccUeimyKEEEIIId6HaDTK5OQkiqLgdDpnTSiAWRQMdDodK1as4LzzzuPBBx/k1VdfZeHChdTW1rJkyRI1JCTabEjLQgghhBDnonA4zK5du/j73//O4sWLWbBggQSDmUij0ZCfn88DDzzAc889x+OPP87DDz+M0WgkJyeH6667Tt1qWwghhBBCiBPR39/PLbfcgt1uR1EUIpEIK1eu5MYbb6S4uHhW3fSdPRGH/RXvhYWFfOpTn+Kxxx5jz549/Od//icGg4Fvf/vb/P3vfycSiSS6mUIIIYQQ4iyRmZnJXXfdxVNPPcXPfvYznE4nr7zyCoFAIGErJp0usyYYKIqC1+ulv7+fpKQkrFYrmZmZ3Hjjjfz0pz+lqqqKZ599lnA4nOimCiGEEEKIs4RWq8Vms+F0Opk/fz7f//73GRsb43e/+x0+ny/RzTulZk0wiEaj/PWvf+Xuu+9menoa+GcFvM1mw2azzYgaAyGEEEIIcXbSaDS43W4+8YlP8PTTT7N9+3ZisViim3XKzJpgAPv3MnjllVf461//yuDgIKFQiJ6eHh5//HH6+/tZs2bNWbHzsRBCCCGEmJmSk5P54Ac/SGpqKg899BBTU1OzZrO8WTMxSqvVcuGFF9Lb28uTTz7JY489ht/vR6PR4HA4+MpXvsKaNWtk1EAIIYQQQhyToihcffXV7N27l4GBAe644w6ef/557r77bkwmE3PnzmXt2rU89NBDXHrppVx66aXcfvvtiW72SZs1wUCj0VBaWsqdd97J1NQUkUiEaDSKVqvFYDCQnJxMUlLSrKocF0IIIYQQp8fPfvazg6YJGY1GjEYjACaTia997Wv867/+K4qiYDabE9XMU2pWBQONRoPZbJ41PxwhhBBCCHHmaTQaMjMzj/kcq9WK1Wo9Qy06M2ZVjYEQQgghhBDi/Zk1IwazRTQaZWxsDK/Xi8/nIy8vj8zMTJkCJYQQJykYDDIyMsL4+Li6Ul04HMZisZCWlqY+T1EUQqEQGo0Gg8GQwBYLIcSZJcHgDItGowwPDzMwMIDH41Hf9vb2MjAwgNfrJRAIMDU1RTQa5fvf//5xh7KEEEIc39jYGE8//TRPP/00V199NcnJyQwNDaHRaLjkkkvIyckB9p+nd+/ezfT0NAUFBTidTkwmk9ygEULMehIMzpCmpiZee+01XnjhBf77v/+bSCSiFrSEQiGmp6eJRqNEo1H1c0pLS6VeQgghTpG0tDQcDgeAuny1z+fjvvvuw+fzccsttxAKhWhpaeHFF19kcnKSqqoqVq5cKSO3QohzggSDM6S8vJyamhr27NnD2NgYfr//mGveajQaysrKyMrKkouREEKcAjqdjnfeeYeamhqsVqs6lQhgeHgYRVHo7u7mD3/4AyUlJVx++eWYTCbS0tLkPCyEOCdI8fEZotFosNvtXH/99dx1110sXLgQvV5/1IuNoihYLBYmJibw+Xyzalc9IYRIhEgkwtatW6muriYYDOL3+2lrayMcDrN69WoikQiNjY0MDQ1x8cUXU1FRQWFhIUajUYKBEOKcICMGZ1hqaipf/OIXOe+88/j1r3/No48+is/nO2z0wGAw0NHRwd13343L5aK4uJiioiL1rdPpRKuVXCeEECeqp6eHoaEhkpOTaW5upqenh5GRET72sY+xdOlSAPR6PQaDgUAgwMjICFarVV23XAghZjsJBgmQlJREfX09ZWVlXHDBBfz0pz/ltddeO2hUICcnhxtuuIHS0lLa29tpbW1lx44deDwetFotOTk5VFdXs2DBAubNm0dGRobs6iyEEMewdetW8vPzmTt3LgaDgS1bttDf388nPvEJ9Ho9sViM/Px8LBYLTz75JGVlZSxZsoTs7OxEN10IIc4ICQYJlJaWxlVXXcWiRYv4n//5H371q1/h8/kAcLlcXHTRRVRWVhIOh5mammJqaoqxsTH27NnD22+/zcaNG3n44YdRFIXi4mJqa2tZvHgxtbW1FBQUoNPpDhr+lqFwIcS5SlEU3n77bebPn09WVhYGg4GKigp+//vf8//+3/9Dp9MxPT3N2NgYy5YtIz09HavVSkpKSqKbLsQ55Vj1l+L0k2CQQBqNBr1eT0lJCd/73ve46KKL+NrXvkZLSwuZmZkUFxer62gbDAbsdjuZmZmUlZVxxRVXEIvFCAQC7Ny5kzfffJO3336bJ554Ar/fT2pqKjU1NcyfP5/FixdTUVGB2WzGaDSqx5OgIIQ4V0xPT9Pc3MwNN9yAXr//0jc6Oko4HEZRFCKRCP39/fh8PhoaGrDZbHKOFOIMUhSFcDjM5OQk/f39bNiwgXfffZeLLroo0U07p0gwmAE0Gg1JSUmsXbuWxYsX88Mf/pD09HRMJtMRnxu/WOl0Oux2OytWrGDFihXqxa21tZWdO3eyc+dOtmzZwpNPPkkkEiErK4v8/HzKysqoqqoiLS0Nm82G3W7HbrfLOt1CiFknfl5sbm5mamqKoqIitT7L4/GQmprK5OQkfr+f1tZW9YbNgedaIcTpEQ8DQ0ND9PT0sG3bNl555RXa2trIzMyUhVcSQILBDONyufjud7+L3+9/z58bDxhVVVVUVVVx9dVXE4vF8Hg8tLe3097eTkdHB42Njbz88stoNBp0Oh3JyclkZ2eTl5dHTk4O2dnZZGdnk5WVJatxCCHOaoqiMDIyQnNzM9XV1YyMjBCLxdBqtVRXV9Pe3k5XVxdarZZIJMKePXtITk6mvLyctLQ02flYiNMgEonQ1dXF7t272blzJ42NjXi9XtLT06mvr+dLX/oSNTU1fOITn0h0U885EgxmoPhIwKmg1WrVjv6yZctQFAW/38/Q0BAjIyOMjIyowWHHjh1s3LiR0dFRYH8NREFBAaWlpZSWluJ2u8nNzZVpSEKIs4ZGo8FqtbJ06VIWLlyI2WxGq9Wi0WhYtGgROTk52Gw2jEYjTqeTrq4u/vznP5OVlcWyZctYvHgxVqs10S9DiLNeNBqlu7ubV199lddff52mpiZMJhMlJSWsXr2ayspKSktLcTqd0sdIIAkG5xiNRkNKSgopKSm43W5g/x9rMBgkEAioRc5er5fdu3eza9cuNmzYQEdHB36/H4vFQm5uLlVVVVRUVFBeXs7cuXOPugGQ/HELIRIpHgyO1Lm3WCyUlJSo/7darVxzzTU0Njby3HPP8bvf/Q6Hw8GCBQvOYIuFOLsdWDwciURoamripZde4oUXXqCxsRGbzcbSpUv5yle+QmVlJQ6Hg5SUFLX2RySW/BQEOp0Oi8WCxWJR36coCkuWLCEWixGLxQgGg3R3d7Nnzx727NnD3r17efnllxkcHFTrF8rKyigrK6OyspKqqioKCwsxGAzodLrDHhIYhBAzjVarxWazMWfOHNLS0ti0aRNJSUmJbpYQM5qiKMRiMcLhMKFQiOnpabZt28bzzz/Pxo0b6e/vx+12c/HFF/PVr36VmpoajEaj1PLMUBIMxBHF6w/ieyMYjUbmzJnDnDlz1OfEYjFGR0dpa2ujpaWF1tZWWlpaeP311xkbG0NRFDIzM3G5XLhcLrX4OTc3l+TkZCwWC2azWX1rNpuPuRu0EEKcbhqNhlAoRCQSYdmyZRQUFCS6SULMOJFIBL/fj8/nw+v10tXVxfbt22lsbGTfvn3odDqqqqr4/Oc/T0NDA0VFRbLX0llCgoF437RaLU6nE6fTyZIlS9T3T09P4/F46O3tpbe3F4/Hg8fjoaOjg23btjExMYFOp1OXTTUajaSnp5ORkUF6ejqpqamkpKRgs9nUaU8pKSlYrVZ1brAQQpwOWq1WvZkhhNg/IjA5OcnAwAD9/f309/fT29tLR0cHHo+HyclJdDodBQUFNDQ08C//8i9UV1eTmZkp1+uzkAQDccqZTCYKCwspLCw86P2hUIjx8XHGxsYOe8TDw969e5mammJ6eprp6WnC4TB6vR6r1UpycjJOp5O0tDQ1kDidTtLT03E6naSmpqqFhUIIIYR4byKRCMPDw/T29tLT00NPTw+dnZ10d3czNDSE0WjEZrORnp5OcXEx559/Pnl5eeTm5pKRkSGreM0CEgzEGWMwGEhPTyc9Pf2g9yuKos5LjD9CoZD6Pq/Xy8DAAAMDAwwPD9PZ2cm2bdvwer14vV4CgYA6+mA2m0lNTVUDRPwRL26y2+2HjUQkJycn6DsihBBCnFnj4+MMDAwwODjIwMAAQ0ND9PX10dnZSXt7Oz6fj2AwiMvlIicnh/z8fBoaGqipqcHpdKo36qxWK0lJSTIqMMtIMBAJp9FoMBqNGI3Gw5ZpVRRFfcRiMfXtgf+enJykt7dXDQ5er5fh4WFGRkbYtWsXXq8Xn8/H+Pj4UfeHMBqNmEwmkpOTSUpKIjk5GZPJdFDhYbxIW06CQgghZrL4DbZAIEAwGFRH4sfHxwkGg8D+a6/dbiczM5OcnBwKCwtZtWoVFRUVlJWVYbFY0Ol0aLXag2oO5Ro4u0kwEDPaoTs9H0lKSgpZWVkndLxIJMLExIT68Pv9TExMEAqFmJqaIhAIqCfT6elpIpGI+rnhcJipqamTf1FCCCHEaRS/2WY2mzGZTOojJSVFXQwkPT0ds9ksHX1xEAkG4pyi1+tJTU0lNTU10U0RQgghhJhRpEpTCCGEEEIIIcFACCGEEEIIIcFACCGEEEIIgQQDIYQQQgghBBIMhBBCCCGEEEgwEEIIIYQQQiDBQAghhBBCCMFp2McgGAwSjUZP9WHPetFolFgsluhmCCGEEEKcNcLhMMFgUDZiO4JwOHzKj3nKgoHBYMDlclFZWXmqDjnrWCwWVq9enehmCCGEEELMeGlpafzgBz/g/vvvT3RTZqyCgoJTejyNoijKqTjQxMQEe/fuPS3pZbbQ6XTk5+eTk5OT6KYIIYQQQsxoe/fuxev1JroZM5rJZKK2tvaUHe+UBQMhhBBCCCHE2UuKj4UQQgghhBASDIQQQgghhBASDIQQQgghhBBIMBBCCCGEEEIgwUAIIYQQQgiBBAMhhBBCCCEEEgyEEEIIIYQQSDAQQgghhBBCIMFACCGEEEIIgQQDIYQQQgghBBIMhBBCCCGEEEgwEEIIIYQQQiDBQAghhBBCCIEEAyGEEEIIIQQSDIQQQgghhBBIMBBCCCGEEEIgwUAIIYQQQggB/H8q7rtGWBPvXwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ipm = ipm_library['seirs']()\n", + "\n", + "viz.render_model(ipm)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ipm = ipm_library['sirs']()\n", + "\n", + "viz.render_model(ipm)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ipm = ipm_library['sparsemod']()\n", + "\n", + "viz.render_model(ipm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The LaTeX conversion in viz auto truncates overly long constant values" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " compartment('V'),\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " param('theta', shape=Shapes.TxN),\n", + " param('phi', shape=Shapes.TxN), # add a parameter to simulate the rate at which vaccinated become susceptible\n", + " ])\n", + "\n", + " [S, I, R, V] = symbols.compartment_symbols\n", + " [β, γ, θ, φ] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961567945208095146550225231603881930142093762137855956638937787083039069792077346722182562599661501421503068038447734549202605414665925201497442850732518666002132434088190710486331734649651453905796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007230558763176359421873125147120532928191826186125867321579198414848829164470609575270695722091756711672291098169091528017350671274858322287183520935396572512108357915136988209144421006751033467110314126711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064204675259070915481416549859461637180270981994309924488957571282890592323326097299712084433573265489382391193259746366730583604142813883032038249037589852437441702913276561809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915441101044682325271620105265227211166039666557309254711055785376346682065310989652691862056476931257058635662018558100729360659876486117910453348850346113657686753249441668039626579787718556084552965412665408530614344431858676975145661406800700237877659134401712749470420562230538994561314071127000407854733269939081454664645880797270826683063432858785698305235808933065757406795457163775254202114955761581400250126228594130216471550979259230990796547376125517656751357517829666454779174501129961489030463994713296210734043751895735961458901938971311179042978285647503203198691514028708085990480109412147221317947647772622414254854540332157185306142288137585043063321751829798662237172159160771669254748738986654949450114654062843366393790039769265672146385306736096571209180763832716641627488880078692560290228472104031721186082041900042296617119637792133757511495950156604963186294726547364252308177036751590673502350728354056704038674351362222477158915049530984448933309634087807693259939780541934144737744184263129860809988868741326047215695162396586457302163159819319516735381297416772947867242292465436680098067692823828068996400482435403701416314965897940924323789690706977942236250822168895738379862300159377647165122893578601588161755782973523344604281512627203734314653197777416031990665541876397929334419521541341899485444734567383162499341913181480927777103863877343177207545654532207770921201905166096280490926360197598828161332316663652861932668633606273567630354477628035045077723554710585954870279081435624014517180624643626794561275318134078330336254232783944975382437205835311477119926063813346776879695970309833913077109870408591337464144282277263465947047458784778720192771528073176790770715721344473060570073349243693113835049316312840425121925651798069411352801314701304781643788518529092854520116583934196562134914341595625865865570552690496520985803385072242648293972858478316305777756068887644624824685792603953527734803048029005876075825104747091643961362676044925627420420832085661190625454337213153595845068772460290161876679524061634252257719542916299193064553779914037340432875262888963995879475729174642635745525407909145135711136941091193932519107602082520261879853188770584297259167781314969900901921169717372784768472686084900337702424291651300500516832336435038951702989392233451722013812806965011784408745196012122859937162313017114448464090389064495444006198690754851602632750529834918740786680881833851022833450850486082503930213321971551843063545500766828294930413776552793975175461395398468339363830474611996653858153842056853386218672523340283087112328278921250771262946322956398989893582116745627010218356462201349671518819097303811980049734072396103685406643193950979019069963955245300545058068550195673022921913933918568034490398205955100226353536192041994745538593810234395544959778377902374216172711172364343543947822181852862408514006660443325888569867054315470696574745855033232334210730154594051655379068662733379958511562578432298827372319898757141595781119635833005940873068121602 * β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " edge(S, V, rate=θ * S),\n", + " edge(V, S, rate = φ * V),\n", + " ]\n", + " )\n", + "\n", + "\n", + "debug_ipm = construct_ipm()\n", + "\n", + "viz.render_model(debug_ipm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Edges will extend along with attribute names" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAABQkAAAE7CAYAAAB+AwdAAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAACZzAAAmcwHzbHUKAADL/0lEQVR4nOz9d3Rb550n/r/ReycIgL1JpKhCNVuWLdmyXGPZiWuc2EmcZGeymbJnJzPZzCRn95tspuzO7M5mas5Jm5mcNKd60l1jK66yitVFkRR7Awii93Lv7w/97jMARUqULImU+H6dcw+Ai4uLBx144/M8j0qWZRlERERERERERES0YqmXugFERERERERERES0tBgSEhERERERERERrXAMCYmIiIiIiIiIiFY4hoREREREREREREQrHENCIiIiIiIiIiKiFY4hIRERERERERER0QrHkJCIiIiIiIiIiGiFY0hIRERERERERES0wjEkJCIiIiIiIiIiWuEYEhIREREREREREa1wDAmJiIiIiIiIiIhWOIaEREREREREREREKxxDQiIiIiIiIiIiohWOISEREREREREREdEKx5CQiIiIiIiIiIhohWNISEREREREREREtMIxJCQiIiIiIiIiIlrhGBISERERERERERGtcAwJiYiIiIiIiIiIVjiGhERERERERERERCscQ0IiIiIiIiIiIqIVjiEhERERERERERHRCseQkIiIiIiIiIiIaIVjSEhERERERERERLTCMSQkIiIiIiIiIiJa4RgSEhERERERERERrXAMCYmIiIiIiIiIiFY4hoREREREREREREQrHENCIiIiIiIiIiKiFY4hIRERERERERER0QrHkJCIiIiIiIiIiGiFY0hIRERERERERES0wjEkJCIiIiIiIiIiWuG0S90AIiIiWl5kWUapVEI6nUYqlYIkSTCZTLBarTAYDFCr1WK7YrGIfD6PUqkEAFCpVNDpdFCr1dBoNNDr9VX7LhQKKBaLAIByuQytVguDwQCNRnN1byQREV1zzpw5A0mSlroZK0pHRwdUKtVSN4OWWLlcxuDg4FI3Y0UxGAxoamq66tfLkJCIiIjOkclkMDAwgLfffhvFYhHr16/HqlWr4Pf7oVarIcsystksIpEIIpEI8vk8ZFkGABH81dbWwuv1in3m83lEIhFks1kAQCwWg8lkQl1dHWw2mwgfiYiI5vPVr34V+Xx+qZuxonzpS19a6ibQMpDP5/HP//zPS92MFaWhoQGf/vSnr/r1qmTlGz0RERERzlYIxmIxHDhwAF/+8pcBAE899RQ2btyI+vp66HQ6ZLNZjI2NYWpqCuVyGUajEZIkIZFIYHR0FGazGbfddhuam5shyzLK5TKCwSBisRh0Oh0A4OTJkygWi9iwYQOam5thNBqX8mYTEdEyZ7PZ0NjYCL/fzwr0K0iWZQSDQRw/fhySJLGSkBCJRFBTU4N169bB5/MtdXOua7lcDhMTE3C5XDh48OBVv35WEhIREVEVlUoFp9OJuro6uN1uNDQ04Pbbb4fdbhc/FCYnJ3Hs2DHodDr09PSgubkZ5XIZ4+Pj6O3tRbFYhMvlEvuMx+MIhUJifwAwNDSEqakpRCIR1NXVMSQkIqIL+qM/+iN88IMfhM1mW+qmXLdKpRJ+8IMf4Mknn1zqptAyotVq8d//+3/H+9///qVuynVtdHQUX/va1/CrX/1qSa6fISERERHNa3h4GKlUCg0NDTAYDFWVBAMDAxgcHMSmTZvEP8oajQZOpxPd3d3Q6/Ww2+1i++npaQCAy+VCLpdDMpnE1NQUZFmG2WwW1YVERERERLQ0GBISERFRFWUkkpGREZTLZbS2tp7TratYLCIcDmNychLRaBRutxtqtRoGgwFr164V28uyDFmWUSgUkEqlcPr0aQSDQQSDQaRSKaxfvx5NTU2sIiQiIiIiWmIMCYmIiOgcuVwOU1NTsFqtaG1tPWdSEaV78KuvvorR0VGsXr0aTU1NaGtrQ319fdX28XgcOp0Odrsdp0+fRm9vL6amprBx40Z0dnbC4XBc7ZtHRERERERzMCQkIiKicwSDQczOzooB4ueGhKtWrcI999yDvXv34vjx4zh06BDcbje2b9+Oe++9F/X19WLbiYkJlEoldHd3w+fzYdOmTejt7cXMzAympqbgcDhgtVqv9k0kIiIiIqIKDAmJiIioiizLGB4eRjwex/r166HX68V4hEpXZKvViu3bt2PDhg0YGxvD0aNH8fbbb+PVV1+Fx+OpCgmz2SxUKhV0Oh38fj/8fj8kScLo6CiGhobQ0NDAkJCIiIiIaIkxJCQiIqJzDA0NIZfLoampqaqKMBaLIZ/Pw2q1wmQywWKxoKurC62trWhtbcW///u/IxwOX3D/6XQa2WwWAKomRCEiIiIioqWhvvAmREREtFLIsoxcLofx8XGYTCa0t7dXhXijo6M4ceIEotEoZFmGSqUS5xuNRgQCAXi9XrGvbDaLUqkErbb6f8mRkREUi0X4/X6YzeardwOJiIiIiGheDAmJiIhIkGUZ09PTmJiYgN/vR319fVVIGAwGcfjwYQwMDCCdTgMAyuUyotEoJicnEQgE0NPTI/YViUQwMzODcrks9tHf34+xsTHU1dWhubkZJpPp6t5IIiIiIiI6B7sbExEREWRZRqFQwPj4OJ599lkcO3YMa9euxfT0NJqbm6HT6aBSqaDX66HRaDA9PY0jR47AYDCgXC4jm81Cq9Wip6cHjY2NYr+pVArlchnJZBJ9fX0olUoYHR1FS0sLurq6UFtbC41Gs4S3nIiIiIiIAIaEREREVEGtVsPv9+O9730vAoEA1Gq1mKwEADo6OuByuaBSqVAqlUSFoNvtRm1t7TmhX6lUgs/nE12Q1Wo1mpub4fF44HQ6qyZFISIiIiKipcOQkIiIiAAAOp0OdXV1cLvduO2226DVamEymaDT6cQ2SuAny7JYAIjZi+eOPSjLMmw2G5qamsRplUoFrVYLtVrNgJCIiIiIaJlgSEhERERiAhKDwQCDwbDgdpWB4fnIsox0Og2VSgWr1cqKQSIiIiKiZY4TlxAREdFlJ0kSotEoVCoV3G73UjeHiIiIiIgugCEhERERXRFarRYOhwMWi2Wpm0JERERERBfA7sZERER02anVarhcLgDg7MVERERERNcAhoRERLQiyLKMUCiEI0eOVM3WS3St6OzsRF1dHfR6/VI3hYiIiIiuQwwJiYhoxQiFQnjppZcgSdJSN4XooplMJni9XoaERERERHRFMCQkIqIVw+/3Y8+ePawkpGtSa2srA0IiIiIiumIYEhIR0YqgUqng9Xrh9XqXuikLkmUZsixDpVJBpVItdXNoCVQ+BwDweUBEREREVw1DQiIiomWgUCggn89Dp9NBr9dflnCoXC4jn88jl8uhVCpBp9PBYDDAYDBc0clEZFkW153JZCDLMgwGA9RqNcrlMgDAaDRCr9dDrVZfsXYobZEkCYVCQVw3cHbmZZVKBY1GA41Gc9nDuHw+j1QqJe53s9lcdXsr7x8AMJvNMBqNUKlUSCQS0Ol0MJlMABgUEhEREdHVwZCQiIhoCSkhVn9/P2KxGLZs2QKVSiXWl0olyLIMrVYLrfbiPrYjkQiOHDmCvXv3IhgMYtWqVbjxxhuxdu1a1NTUXKFbBEiShNnZWezfvx+/+tWvUC6XceONN8JsNiMajaJUKqGnpwcbN26EzWa7YkGhLMsoFosIh8MYGBhAOBwW5/n9fuj1egQCAdTV1V326z516hR+/OMfY2RkBKtXr8add96JdevWwWq1AgBSqRT279+PZ599FjqdDvfeey+2bNkCs9mM3t5eaLVadHZ2iu2JiIjoypJlGaVSCcViEeVyGRqNBjqdDhqN5or/qUm0XDAkJCIiWiLK2Iijo6MYGxtDW1sbdDodgLOVhZOTkzh06BCy2Sw2b96M7u7ui9q/zWZDfX09isUistksWltb0dHRcVHBU+X4jYutaFOr1bBarfD7/YhEIvB6vdi5cye0Wi0KhQL279+PX/ziF5iZmcHu3bvhdrsvexsAoFgsYmRkBCdPnoTD4cCWLVsgyzIikQieeeYZeDwevP/971/Uvi62DU1NTTAYDEgmk3C73aitrYXBYBDnG41G1NbWoqWlBQ0NDejs7ITBYIBKpUJ7ezteeOEFGAwGdHd3Q61Ws5qQiIjoCisUCjhy5AheffVVDA8Po6urCzfccAO6urpgt9uXunlEVwVDQiIioiWUTqdx6tQpJJNJNDQ0QK1WI5lM4syZMxgYGMCRI0cAAC0tLRe9b6PRCOBsZV99fT06OzsRCAQu6t/wZDIJWZZhs9kWHVSpVCro9XoUCgUYDAZ0dXVh1apV4vKxWAzPPvssjh8/jm3bti0qJEwkElCr1Rf1JX1kZARvv/02TCYTurq64Pf7IcsyvF4vbDYbvF7voisqlW7bBoNBdAM+H7fbjba2NvT398Nut8Nms4kAWJZlxONxpNNp3HbbbWhvb4fZbBaXrampQXNzM44ePQqLxYKWlhaGhERERFeYRqOBx+NBNpvF4OAgdu7cKXoeEK0UrJklIqIVQ5kU4mKXd3PZhfanOHPmDMLhMDZt2iTGpDOZTGhra8OaNWvg9Xqh0WggSdIl3ebJyUnE43HU1tZeUtfeI0eO4MCBAyiVShd1uXK5jOHhYQBAc3OzWC/LMpLJJMrlMkwm06LaUywWsX//fhw/fvyi2hAMBnHmzBloNBoRBqpUKhgMBvT09KCzsxM6nW5RAdzk5CQOHjyI8fHxRV+/2+1GuVxGOp2uuv/S6TRmZ2ehUqlQW1tbFRAqNm7ciP7+fgwPD0OSJM7ITUREdIVptVrY7XaoVCo0NjZiw4YNaGhoEH+6Eq0ErCQkIqIVQZZlRKNRPPfcc3j++efR1taGXbt2IZ/PY2ZmBhqNBu3t7ZBlGSMjI0ilUrBYLNi5cyd8Ph+As91Q+vv7cerUKUiShGKxiFtvvRX19fWYnp7GCy+8gL1790KWZdx7771Yu3YtTpw4gZdffhkWiwX3338/br75ZvFlU5ZljI2NYXp6Gs3NzSKsUr6kulyuRQdpC5mYmEAqlUJ9fT1sNttFXz6dTiObzV50SFUulzE0NAS1Wo22traq9rz55ptobm7G7bfffsEqQuA/Kgkvtg0ajQbxeByHDh1Cd3c3Vq1aJdZv3779oiZvyeVyiMfjyOfzi75MTU0NSqWSmMBEMTs7i3A4jEAgMO/tV6lUMJvNsFgsCAaDiMfjcLlcrCYkIiK6wpLJJEZGRtDY2HhRvSiIrhcMCYmIaMWw2WzYuHEjjh8/jtOnT2P79u3o7u7GqVOn8Itf/AJnzpzB3Xffja1bt+LEiRNiPMAPf/jDKJfLovvvli1b4HK58Morr+Db3/42/vN//s9wu9245557oNFo8Nprr6FQKECn08Hj8WDHjh1YtWoVVq9eXdXlNJ1OIxqNioGxFZfrC2kqlcLMzAzsdjtaW1svKSS8lAq2crmMmZkZTExMIB6P49SpUxgaGkIikUAymURPTw82bNgAv99fNU7f5dbc3Ix169bhxz/+MX7961+js7MTt9xyC+655x7RfftKfvl3u92wWCzI5/PI5/PifonFYvD7/QgEAgtORqNSqdDV1YXh4WEEg0E4HA4Omk5ERHSFJRIJjI+PY+fOnTCbzVCpVCiVSjh16hReeeUVjI2Nobu7G/fffz9qampQKBRw9OhRbN26dambTnRZ8NsmERGtCCqVClqtFrW1tXC5XJAkCW1tbfD5fHC73WIMPa1WC5/Ph7q6OqjVaoyMjAA4G5aFw2EcPXpUTMbhdDpFl1a1Wg2/34/bbrsNmzdvRn9/Pw4dOgSbzYZNmzZh06ZNcLlcVUFPLpeDLMuimuxyB1ZTU1MIhUJwuVxwu91VQeSVpEwYks1mcfPNN+O2227Dxo0bkcvlMDo6ipqaGgQCAdG9+kqpra3Fe9/7Xnzxi1/EJz7xCdhsNjz99NP43//7f+PYsWNXvDrA4/HAbrcjnU4jkUggm80iGo0il8vBYrHAZDKdtw1utxu5XA6ZTIbdjYmIiK6wUqmEmZkZAEBHR4cYDqSvrw/vvPMO8vk8LBYLhoaGcOjQISSTSYTD4YvqZUC03LGSkIiIVgyVSgW1Wg2TyQSXywWLxQK1Wg2dTgen0wmr1Qqj0Qi1Wg2tVgu1Wo1CoQDgbBfVjRs3orm5GVarFaFQCOPj44jFYohGo5AkCSqVCn6/H1u2bMHU1BQOHToEj8eDnp4e6PX6qkBIlmWkUilkMhl4PJ4rcnsnJiYQiUTQ1dV1wck2crkc3n77bbzxxhtV60+dOoVSqYQTJ06IqjePx4MNGzZgzZo1804kUiqVMDo6CgBYs2YN3G43JEnCxo0b8cYbb+Dtt9/G+vXr5x3jZ3x8HG+99RYGBgbEumKxiFOnTsFgMODQoUNifUNDA26++WY0NTXNW5Gn0Wjgcrlgs9nQ0tKC2267DYcOHcK///u/4/jx49iwYcO898Xrr7+OQ4cOIZ1Oi3XBYBDBYBBerxeBQEDsv6WlBTfffDPq6+vP2Y/yfIrH44jH4+jr60OhUIDf70dNTc0FQ8qamhpks9lL6u5NREREFyeXy2FgYAAulws+nw86nQ6hUAiRSAQNDQ3YsmULDAYDxsbGEI1GkUwmcfr0aaxdu3apm0502TAkJCKiFUcJAVUqlVi0Wi10Ol3VOHVzQ5xyuYyTJ0/i9OnT2Lp1K1wuF6xWa9XEEjqdDl6vFx6PB8FgEBMTE8hms/OGdJIkiXDxSlDGI6yrq7tg1ZpOp0N3dzfq6uqq1u/duxf5fB67du0Ss/vpdDrY7fYFg8dSqYTp6Wmo1WrU1dVBpVJBo9FAr9eLqrqFJmLxeDy4+eabsXHjRrEun8+LcR137twp1huNxnOqM4GzgV4ikYDdbofH46kKgbVaLfbt24dyubzgfbFmzRrU1dVVbTMwMIAzZ86gtbUVq1evFuvNZvOC4yoqszFHIhEMDg6ipaUFfr8fLpdrUROmlEolqNVqdjMmIiK6CjKZDE6fPg2/3y+6Gut0OjQ2NsJkMsFut0Or1cJkMqG3t1dU+7tcrqVuOtFlw5CQiIhWpPkCmoVCG1mWkc1m8dprr+GFF17AY489hjVr1iCTyUCSJDGphV6vR6lUQqlUQnt7O4rFIiYnJ7Fv3z685z3vOee6TCYTtFotEonEZb996XQaU1NTMBqNaGlpuWAloVqthsvlgsPhqFrv8/mQy+XQ3NwsQkKlInO++6tcLiMejyMUCsHtdqOpqUlsNzU1hUQicd7A0mg0wufzVYWI+XxezM5cOVPyQu0IhUKYmJhAU1MT3G53VRicz+dRX19/ThhayeFwwG63V1XvZbNZJJNJ1NfXV7XhfCGeSqWCy+XC4OAgBgcH4fP54HQ6YbFYFhUMZzIZWK3WCwa8RERE9O5lMhkMDAzg7rvvhsFggEqlEp/DGo1G/MFss9lgt9sxPDyM9vb2i5oIjWi5Y0hIREQrXrlcRqFQWLC6TOka3NfXh1gshp6eHlFBmM1mEYvFMDU1BafTiXA4jMnJSdTX16Ompgb79u3D0aNHUVdXh56enqr9Wq1WGAwGhEKh87arcmZcZX0ikcDk5CT0er2YtbdSMBjE+Pg4HA4HfD7fBScIUar95n7RVdYplZYXks/nMTIygtnZWXR3d1d1R04kEigWizAajUgkEmIGaaXCb6F2lMtlsW4xbZidnRVjR7pcLgQCAUiShGQyiRMnTqClpWXBrsbKbZ5v3cW0QeFyuRCJRFBTUwOv1wuXy7XoHxORSAQajeaKTu5CREREZ79rzM7OIhaLYfXq1eKzV6vVVn1HAQC9Xg+j0YijR49i48aN/COPrisMCYmIaEVQqgGPHTuGffv2YXp6GkeOHEFnZycOHTqEw4cPw+PxoL6+HslkEkeOHMH+/fuh1Wpx8OBBtLW1ob29HcPDw3jrrbfQ0NAAk8mE9evXY2pqChaLBSdOnMDRo0dhNpvx3ve+FzU1NSgWi3j99dcRCoXw4IMPYt26daJbislkEuMbVsrlchgbG8Nbb72FN954A9FoFEajEUajEa2trbBarRgaGsJzzz2HmpoaUeUnyzJKpRKGhobwi1/8Avv370cgEBDj69jt9iv2b7ckSUgkEjh9+jQOHjwIlUqFXC6HkZERdHR0AABaWlqwfv16ZLNZ9Pb2wu/3w2q1XvYv11arFTU1NSiVSjhy5AhOnDiBcrmMYrEIp9OJ1atXX7FxIOdyuVzYsGED1q5di8bGRlGZsBgTExPw+XyoqalhlQIREdEVVCqV0N/fD61Wi5aWlqreE3Mpw9QYjcaL+lwnuhYwJCQiohVDo9HA5/PhvvvuQz6fF2P1dXV1wWAwwGQyoaWlBXa7HV1dXdDpdNBqtWKSkxtvvBEulwtOpxM2mw1OpxO1tbWYnZ2Fw+FALBaDTqeDw+FAIBCAxWLBLbfcAq/XC7PZDI/HUzXBhkajgdfrxfT0NILBIHw+n+i+arVa0dHRgQceeEBMduF0OqHX66HRaODxeLBmzRpoNBpks9mqL7MWiwXr168X3WEaGhoWNQbeu6XT6eDxeLBlyxasXbsWZrMZFotFnN/e3o7HH38cpVIJLpcLLpcLJpPpso+519LSAofDgVKpBEmSxKEysYzX671q4/x1dXXB7/fD4/HA4/Fc1PUmk0k0NTXBbrfzBwgREdEVIMsycrkcjhw5gpdffhmFQgHRaBT5fH7BIUUKhQIKhQLa2trmnTiN6FrGZzQREa0Yer0e7e3tYkw5ZQZjp9MpuosoXwgbGhrE5BlarRYajQZ+vx+1tbVVY9z5/X4RQCkTkajVamg0GqhUKmzevBk9PT2iG63yZVMJfdrb2zE9PY1jx46J8Eqn06G2thY1NTXYtGkTgP8Y+04Zg8/v92Pz5s3IZrNV3V+Vdnq9XuzYsUP8273QGIIXUl9fj2KxeMFKNmWMxdbWVjQ1NYl1lV+u7XY7Nm3aBFmWq8YTvFC7NBoNmpub550NeT5utxsul6tqTEHleOVjcDEcDgeamprgdDov6nLK+IfnG8dxLlmW0d/fD4vFImZXJCIioitDkiRkMhnU1taK704LTbAGnB2neHZ2Fh0dHQwJ6brDZzQREa0ISjhTObaMQgnmKs039tx8Y/Yp6xcy374rBQIBNDc3o6+vDzMzM6KacDHj3ykVcsqkJMptXKidl6KtrQ2yLF8wWKsM+xa6biWwvFgajQadnZ2LDjmvRJVgTU0NbDabqNhcrIt9HGRZRrFYxNGjR9HQ0ICGhgYROBMR0bXjhRdeQF9fX1XY5HA4cOONN6Krq2sJW0Zz6fV6dHV1oba2Fmq1Gl6vF0ajccHP3mw2i3A4jPXr11+1ngl0fpIk4Stf+co543gr1Go1LBYLmpubsWbNGvh8Pn63WgBDQiIioiWifDlpbm5GIpHAyMgIbDbbBWe/lWUZ5XIZ5XJ5UZV470Zld+GloswuuJT0ev1FB4SXanx8HHq9Hp2dnefMNk1EdK1TKruv9x/o/f39ePHFF3Hs2DFMT0+jo6MDu3btQktLC0PCZUSlUkGn06Gurg51dXUX3F4ZxiSfz1/x72B0cd566y0Eg0E8//zz8Pv92L59O3Q6HSRJQj6fRzgchtvtxn333Yf7778fjY2NS93kZYkhIRER0RLz+XyQJAkzMzPI5/MwmUznrUBTfmDZbLYrPqHFcvjyu5LaIMsygsEgenp6qrptExFdL0KhEGZmZmAwGFBbWwubzXZdVmP9/u//Pt773vfiL//yL/Hss8/iiSeewGc+85mlbha9S7IsQ6vVora2lsOBLCNqtRr/9m//hiNHjuDFF1/E5s2b8Y1vfANOpxOlUgnBYBA/+tGP8PWvfx3/9E//BI1Gg49//OPsLj4P3iNERERLSAmAFvsPNnD2i5DZbIbZbL6STaMloFarsX379qVuBhHRFfPmm2/ie9/7HsxmM3bv3o3169fD6/XC6XTCbDbzjxFa1lQqlRgz+lr8HjY5OQlJksTr7XoM6OfSarWor6/HU089hZMnT+Jf//Vf8frrr+ORRx6Bx+NZ6uYtOwwJiYiIiIiI6KoolUoYGBjAO++8g29/+9tobm7G3XffjbvvvhsbN26EzWaD1WqFwWBY6qYSnUMZ2245DMdyKf7pn/4J4XAYd911F3p6euByucTr7XoPDJ1OJ2pra2E0GhGLxTA1NcWQcB4MCYmIiIiIiOiqKJfLUKvVUKvVKJVKGBwcxFe+8hV87WtfQ0NDA973vvfhoYcewrp162AymcQEEqwwJHr3gsEgvvWtb+FrX/sa6uvr8Z73vAf3338/enp64Ha7YTAYoNPprsvAUJIklMtlyLIMnU4Ho9G41E1alhgSEhERERHReSljoV5o/ULbLfb8d9OWd3M9l6NdV9q7Dcku5vKXcl3nu0zleaVSqer+lmUZsixDkiQMDw/jy1/+Mv7xH/8RHR0d+NCHPoQnn3wSgUCAY4cRXSYajQbFYhETExP4l3/5F3zjG99AbW0tbr/9djzyyCO4+eab4Xa7odFooNVqr/mAXnmPmZ6exvj4OCRJQn19/aKH+Vlp+E5LRERERHSJLiZcutLB1eUMuubuq1wuI5PJoFwui/PL5TKSyWTVdplMBoVCYd7wMJ/PI5vNnvd6lcsvRJIk5HI55PP58+4nnU6jWCyedxtFsVhELpdDqVRa1PZLQaVSQaPRwGazXdLllaqZxUx2pVarYbfb5w0G9Ho9DAbDOfu5UPssFgt0Oh1UKhWmp6eRy+UWvH7lcevv78cXvvAFfP7zn8ett96KD3/4wyJgVJZrPbwgWmqSJAE4W2H4wx/+ED/84Q/hdrtxyy234OGHH8Y999wDj8dzTfyRUkmZhbpYLKJUKmFkZARf/vKXsXfvXtx333144oknrskxJa8GhoREREREtKwt5x8nsiyjUCggk8lAlmUUi0Wk02kAQKFQqDqubFMoFJDL5VAul1EsFpHP51EsFlEul5HL5UTIlsvlRJiSyWSqgrG5IVipVEIulztn3dxgr1QqIZVKVd2GdDpdFcxJkoRsNnvesG4pGQwGGI3G83aHMxgMF/0DUKPRwGQyLcsZS5WQ9lKCzMrn1WJUPlevBI1Gs6iujEoQCAB79+7F3r17AQDf/e53cdNNN6G7u3tZPlbXo+X8HkwX53yPpfJZEQ6H8bOf/Qw///nPYbVasXv3btx5551V+1juAf2vf/1reL3eqnVbt27FF7/4Rdx///0ci/A8GBISERER0bJWKpVEaKUc5vN5EZqkUinIsoxYLAYASCQSIlRRtlVCEuWwWCyKsEySJMTjcQCo2o8kSUgkEqJqTrm+xVazLYZGo4HRaIRer4darRYBmEqlgl6vF0GX0WiEyWQSlzOZTDAYDOKHmlarRW1tLfR6/bz7VqjVajgcjqo2zN0XAJjN5qqJI9RqNYxGY9U6lUoFh8NRdTmj0SjaP5der4fJZDpvQKTT6WC1Whe+w2hJKcH1fJWiSrg4H+U1CQA///nP8f3vfx8DAwMXvD5lLEJZlrF161YcPHgQe/bsQXNzM7sfXyXX49h0K92FHtPKgD4ej+OZZ57BM888A7VajX/5l3/Be97zHlit1mUdFO7Zswff/va34XA4MDMzg3/6p3/CN7/5TXzrW9+C3+/HPffcs9RNXLb4zkpEREREC1ICNCVUU6rOksnkeYM4pTounU5XhW2pVEpUuOXzedEFVQn7JEkS22SzWeTz+Yse907p2qiEWnq9XoRlSgin0WhgsVigVquh0WjQ3Nwsfjg5nU7x48dut4v1VqtVVC5VhmE6nU7MdKnRaGC328Vxm80mumIqP6q0Wi3MZvOCXT8v5w+vy/0j7mr9KFzOPz5XMuV5/2688847VcH1XJWTlGzduhUf+MAH8PDDD6O+vh4ulwtOpxMajYbPkavke9/73lI3gS6jr3zlK3jjjTcWVVmsfPZZLBbcfPPN+M1vfoMPfehD19QfOSqVCl6vF5/73OcQiUTwne98Bz/60Y/Q1dWF5ubmpW7essSQkIiIiOgapIyjpoRzStgWj8fFceUwFotVrcvlckgkEshms1X7SKfTSKVSVeuUMBCoDufmO67T6WAwGMSizJConFYCBuW43W4XVWyV65XgrXJfledX7ke5vFJlZ7fb5x0v7ULHF7P9QtsstN2FtmHIQdeay/GcrRxTsHK/yut+48aN+OAHP4g9e/agvr4eWq2WoeASevTRR5e6CXQZPffcc3jrrbcWPF95LTocDtx000148MEHsWfPHqjVajQ3N0Ov119zr0WVSgWDwYAPfOAD6Ovrw8svv4yenh784R/+4VI3bVliSEhERER0maXTaWQyGWSzWSQSCaTTaWSzWbFO6bKXSqVEFz2lG20ikRBj2WUyGRSLRbFO2S6fz0OSJPEju/IHd+VxpXrOZrNBq9XCYrGIdRaLRXT/dLvdIoAzmUyim6tShWez2aDX62G1WkU4p1TrKSGeUnGg/Hg43+FCx6/E5YhoeVHG4gTOvk7dbjduuukm3H///di1axf8fr9471nMRCt0ZTGgvb7M19VYo9FAkiTU1tbi1ltvxfve9z5s374dNTU10Ov10Ov1YhiOa5VKpcK2bdtw66234vjx4/jNb36D22+/HWvXrl3qpi07DAmJiIhoRZtbNZdIJMS6VCqFZDIpusYqoV8ymRTdahOJhKjey+VyompPlmVIkiTCPOW0MuC30WgUQZ1OpxNfxG02mwjeKsM55Uezsr3FYhFBXuVit9vFpA3KP/7KjwK1Wi0CtsrjC6073+nKULAytCMiOh9JktDU1IStW7fizjvvxJYtW1BbWwuLxQKTycRgkOgKkyQJWq0WpVIJdXV12L17N97znvegp6cHXq9XfOe43l6LWq0W99xzDw4fPoy33noLP/rRj9Dd3c3vL3MwJCQiIqJrgizLyOfzIpxLJpNIJpNiXLtUKoVUKiUq8jKZTNUYepWXUcbQi0ajKBaLIrwrl8sol8si3KvsKqsEeWazGWazGTqdDjqdDk6nE/X19eK02WwWFXdKwGe1WmEymUSVnlqtFmPhVYZvyrrK08p4dotZV7lPVn8Q0XL08MMP4+6774bRaITD4YDZbL4uJyH5H//jf+BnP/sZJiYmkEwm8Xd/93d47bXX8Lu/+7t44IEHlrp5tILV1NSIGYvXr1+P2tpa8Vq8VoPBcrmMHTt2IBKJoFwu49VXX8XOnTuxa9cu/Omf/ikaGhqgUqmwfv167Nq1CwcPHsQ///M/44UXXsDu3bvxxS9+calvwrJx/b0bExER0bKhVM8pY90poV0mk0E6nRbHldNzD9PpNHK5nOiiq4R3kiShVCqJgE+ZDEKptFOq7ZTusJUBntPprNpGqcYzGo0iAFQCPmUsLCWQ02g00Gq10Gq1IuhTTivbzD2tXKZyPwzviGil8vl88Pv91/374Ac/+EHs3r0bkiSJdWazGS0tLUvXKFrxPvaxj+FjH/sYfD4famtrYbVar9lgsJJarcb/+l//S4yhrKipqYHH4xGnjUYjHnnkEWzZsgWZTAZarRZer/dqN3dZY0hIREREC8rlciLEU8bUm3tcOb3Q+dlsFsViEcViEYVCQYR7lYGaEuJVLlqtFlarFU6nU4RsSheYynHxlG64yr4qQzpl35Xh3nynle2V4xwon4joyphvTLTrUXd3N7q7u5e6GURVtmzZImYov56+46hUKuzatWtR2wYCAQQCgSvboGsYQ0IiIqLrVLFYrJosozLIKxQKIrSr3KbyUJlso1AonLMo1XtKddzcajllDD6NRiPGzjObzTCZTDCbzVUTaFxoqQzuKqsCldMM9IiIiIguzGQyLXUTaJljSEhERLQMSZIkAjxlJtzKbrfnO66M21csFsVkGspSKpXExBlK11cAVTPjKoeyLIvuupWz2ipVe3q9HkajUSxKhZ/RaBShXuX5JpOp6rhWq2WwR0RERES0TDAkJCIiukLK5bII6hZaKoM95VBZ5lYB5nI5FAqFqok1JEkSpyvXy7JcNRuuMuvt3DBvbnCnHCrHlfH5Ks83GAwrprsYEREREdFKwZCQiIjoApRZbyu76Cqz5SrdcZX1yqES8imTb1ROxqGEfZX7UsJEZey+UqkkxshTutwajUZYLBbYbDZYLJaqRZk9V+naq3TrndvNV5lwg4iIiIiIqBJDQiIiWlGUEG7uokymMd96JRBUZudVZuhNJpNIJpMi9FO6+ebzeTFphyzLVZNjVHbftVqtcLlcsNls4rSyKMFf5aHdbofFYmEXXSIiIiIiuuwYEhIR0TVL6WKrhHnlclksSshXebpQKCCZTCIWiyEejyMejyOZTFZV+1WGgMrEHdlsVkzCoUzQYTKZ4HQ6Ybfb4XA4UFtbC6fTCYfDIdbZbDbYbDbY7XZx3Gq1Qqvlxy8RERERES0v/JVCRERLTpksQwn0lPBvvqVy7L1CoYBYLIZwOIxoNCoCv1QqhUgkgkgkUnU6FApBkiQxYYdGoxFVfUqQZ7fb0dTUJII+r9cLj8cDu90u1tntdni9XqhUKlb1ERERERHRdYEhIRERXRGyLFdNrnGh04VCQQR70WgU4XBYHJ+7KJWAxWIRAKBWq6FWq6HX6+F0OuF2u8USCARQU1MjTns8HrjdbrhcLrhcLpjNZmg0miW+t4iIiIiIiJYWQ0IiIloUpdpPluVFLblcDrOzswiFQpiZmcHs7CzC4bAI/8LhMGZnZzE7O4toNIpEIgEAojpPrVbD4/HA4/GIkK+rq0uEfG63GzU1NVWnbTYbAz8iIiIiIqJLwJCQiGiFUkK/uacr11ceLxaLiMfjmJmZwczMDMLhMGZmZhAKhRAOhxEKhUQgGAwGEY/Hq/ZvMpng8Xjg9Xrh9XpRU1OD1atXi6BPWVcZDHIWXiIiIiIioquDISER0XVmbvh3PsViETMzM5iamsLU1BSCwSCmpqYwMzOD6elpEQYGg0HEYjHRvRcANBoN7HY7/H4/ampqUFtbi/Xr16O2thY+nw8+nw81NTXiuMViYZUfERERERHRMsWQkIjoOlMoFESwFwqFEAwGxfHp6WmEQiFMTU2Jqr/KUNFqtaKurg5erxc+nw+dnZ3YsWMHvF4vamtrUVNTI85zOp0wGAxLeEuJiIiIiIjocmFISER0DZAkCZlMRlT6KUs0GsX09HTVEgwGUSgURPinVPwpFX0+nw/d3d3w+/3w+/0IBAIIBAKoq6uD0+k8Z7beytPnO4+IiIiIiIiuXQwJiYiWUKFQQCwWExV/lYdTU1MYHx8XwV8qlaqaGMTpdIrQr7a2Ftu3b0dtba1YfD4f/H4/nE4nNBqNmBDkfAvA4I+IiIiIiGglYkhIRHQFlEolRKNRBINBEfJNTk5WVQIqE32Uy2VIkgRZlmG1WsWkHV6vF2vWrMHOnTtFV1+fzycm+FBmAJ67zF1fGQASERERERERzYchIRHRRSiXy5idnRVj+1XO6KvM9KtM9pHL5VAqlVAul6HX66tm8V27di1uu+02EQgqk39YLBZotVpotVpoNBqxzD3NCUCIiIiIiIjocmJISET0/1cul5FIJBAOhxEOhzExMSECv4mJCUxMTGB6ehrZbBaFQgGlUgk6nQ5WqxV2ux12ux0OhwPNzc2oqamBy+VCTU2NqArU6/XQarXQ6/XQ6XTQ6XTQarVVx5XKPyIiIiIiIqKriSEhEa0I6XQakUhEhH6zs7MiDFRORyIREQAWCgUYjUYR/tntdrS1taGnp0dU/7ndbpjNZhgMBuj1erEYDAaxVK5n+EdERERERETLFUNCIrqmybKMQqEgQr/Kw8olkUggm80im81CkiTo9XqYzWaYTCYYjUY4HA4xu6/b7Ybb7YbVahXbKIfKYjabYTQaxYQgRERERERERNcyhoREtKyVy2Ukk0lEIhHE43EkEgnEYjFEIhFEIhERAiaTSaRSKeTzeWg0GqjVami1WhgMBmg0GrjdbrhcLng8HjidTlitVlitVlgslgUXrZZvkURERERERLQyLMkv4MnJSRw6dAjpdHoprn5FamhowLZt2xh60LIiyzJKpRKSySSi0ahYlMBPCQPj8Tji8TgymQxKpZKo3FNm7dVoNDCbzfD5fKipqYHNZoPNZoPVaoXL5RKBoMPhgNPphNls5sQfRERERERERBWWJDE6c+YMvvzlL0OlUsFsNi9FE1aU6elpbNu2DZs3b2ZISFdVsVhEJpNBKpUSwZ9yqBxPJpNIJBKYnZ1FOp1GoVCAJEmQZRnFYhHFYhFGoxFWqxVerxc2mw0Oh0N0CVaWyvXs/ktERERERER0cZYkMUokEjh58iT27NmDjo6OpWjCivLNb34TQ0NDkCRpqZtC1xFZliHLMvL5PLLZLNLp9DlLZXfgaDSKVColts1kMsjlcpBlWVT6ud1u+P1+MSNwTU1N1SQhNpsNOp1uqW86ERERERER0XVnScvKHn30Udx+++1L2YQV4c0334Qsy0vdDLoGlctlFAoF5HI5ZLNZcagcT6fTiEajYtZgpVuwsiQSCQCA0WiE2WyGy+VCbW2tqP7z+/1iqaurg9lsZhUgERERERER0RJg31OiFUyZGVhZ8vl81el0Oo1wOIypqSlMTU0hFApVzR4cjUah0WhgMBjgcrlQV1eHQCCAzs5OBAIB1NXVwe/3w+fzwel0srs7ERERERER0TLFX+xE1zFZliFJEkqlkhjfT1lKpRJyuRymp6cxMTGByclJTE9PIxQKIRgMIhgMIhqNolwuQ6vVQq/Xw+l0oqGhAV1dXWhsbKxa6uvroVarWQlIREREREREdA1iSEh0jVOCwHK5XLVIkoRisYhEIoHh4WGMjIxgdHQUo6OjGBsbw/j4OEKhEABArVbDbrejvr4eDQ0N6OnpQUNDAxoaGtDY2IiGhgZ4vV5WAhIRERERERFdp/iLn2iZU8aTVMJA5VA5ns1mMTk5eU4QODIygrGxMYTDYajVauh0OtTX16O9vR3d3d2477770NLSgubmZjQ1NcHlcjEEJCIiIiIiIlqhmAgQLQOVE8soswZXrs/lcpicnMTQ0BB6e3vR29uLkZEREQRmMhkAgMlkQl1dHVavXo3t27fjAx/4AJqbm9Ha2oqOjg5YLJarf+OIiIiIiIiIaNljSEh0FS00y3SpVEIkEsHQ0BDOnDmDoaEhDA4O4syZMxgYGMDk5CSAs92CGxoa0NbWhra2Ntxyyy3ieGtrK9xuN6sBiYiIiIiIiOiiMU0guooSiQT6+/tx+vRpDA0NieODg4MIh8OQZRkajQZutxutra3o6urCfffdh9bWVrS1taGrq4vVgERERERERER02TEkJLqMZFlGOp1Gf38/+vv70dvbi9OnT2NgYAD9/f1IJpOQJAk2mw2NjY3o6OjAjh078JGPfERUBDY0NECv14tZgucezj1ORERERERERPRuMSQkugS5XA5TU1Po6+vDmTNnMDw8jNOnT6Ovrw9jY2Mol8tQq9Wor69Hc3Mz1q1bh4ceegirV68Wk4WYzWaoVCqo1eqqQ2UhIiIiIiIiIrpaGBISLSCXy2FwcLBqGRoawtDQEGZmZpDP56FWq+F0OtHS0oKWlhZs2bIFLS0t6OjoQEtLC4xGIzQaTdWiVquh0WgYBBIRERERERHRssGQkFY0WZaRz+cxMjIiugQrh4ODg8hms5AkCU6nE7W1tfD5fLjzzjvR3NyMpqYmNDQ0wOfzQafTQafTQavViuM6nQ4AuwYTERERERER0fLHkJBWhGKxiNnZWYyMjGB4eFgcDg0NYWpqCrlcDpIkwefzIRAIoLu7W4SBjY2NsNlsMBgM0Ov10Ov1MBqN4rgSBhIRERERERERXasYEtJ1pVgsYmpqCmNjYxgdHcXY2JhYwuGwqAy02WzweDyor6/H5s2b0dTUhJaWFjidTlgsFlgsFpjNZlgsFphMJjFeIBERERERERHR9YghIV1zZFlGsVjE9PQ0xsfHq5aJiQnE43FkMhmo1WpYLBbY7XbU1taiu7sb9fX18Pl8sNvtsNlsYrHb7bDb7dBoNEt984iIiIiIaAEvvPACwuEwDAbDUjfluiVJEo4cObLUzaBlplwu4xe/+AXGxsaWuinXtVgshrfeemvJrp8hIS1rxWIR0WgUExMTVUsoFEIsFkMymazqAux0OrF69Wp4vV44HA44HA64XC44nU44nU64XC5YrVao1eqlvmlERERERHQRenp6kEgkcPDgQX6fv4JkWUYqlcKmTZuWuim0TGi1WvT09GBmZmZJA6yVoFQqQZIkdHZ2Lsn1MySkZSOTySAUCiEYDGJ6ehrBYFAskUgEuVwOAKBWq2EwGODz+bBu3Tp4vV7U1NRUHTqdTmi1WnYRJiIiIiK6TvzJn/wJSqXSUjeDaMUxGo347Gc/u9TNWFFcLteSXC9DQrrqZFlGqVTC9PQ0pqamEAqFEA6HEQwGMTk5iWg0imw2i0KhgHK5DLPZDK/XC7/fj7q6OtTX16Ourg6BQAAej4f/IhIRERERrQAPPfTQUjeBaEXS6/V47LHHlroZdBUwJKQrTpIk5HI5zM7OIhwOIxwOY2pqCv39/RgfH0csFkM8Hocsy7DZbPD5fOjo6EBTUxMaGxvR3NyMQCAAi8Wy1DeFiIiIiIiIiOi6xJCQLrtSqYRMJoNEIoF4PI5oNIqxsTGcOnUKg4ODmJ6eRjgchtVqRXNzMzZv3oz29na0tbWhra0NbrcbWi2fmkREREREREREVwuTGHrXCoUC0uk0UqkU0uk0IpEIRkZG0Nvbi8HBQQwPDyMYDMJqtaKpqQm33347enp6sGnTJtTV1XHcQCIiIiIiIiKiJcaQkC5auVxGNptFNptFLpfD+Pg4Dh8+jCNHjuDkyZOYmJiAJEliYpHHH38cmzZtwoYNG2Cz2Za6+URERERERERENAdDQjovWZYBnO1CXCgUUCwWEQqF8Oabb+LNN9/E/v37MTY2Br1ej66uLtx8883YsmULNm7ciJaWFuh0uiW+BUREREREREREdCEMCekcsixDkiSUy2WUy2XkcjkcP34ce/fuxauvvoo333wTANDd3Y1du3Zh586duOmmm+D1eqHRaJa49UREREREREREdLEYEpKoFpRlGbIsI5VK4ejRo3j55Zexd+9e7Nu3D7lcDqtXr8add96JT37yk7j11lvhcrmgVquXuPVERERERERERPRuMSRcoZRgEACKxSJGRkbw6quv4rnnnsPevXsRDocRCASwc+dO/N3f/R3uvPNONDc3c5IRIiIiIiIiIqLrEEPCFSoYDOLNN9/EK6+8gldeeQW9vb0wm83YuHEjPvWpT+GOO+7Apk2bqioFGRASEREREREREV2fGBKuELIs48iRI3j11Vfx/PPP4+DBgygUCuju7sbdd9+Nv/mbv8GWLVvgcrmgUqlEIMhgkIiIiIiIiIjo+seQcIV4/fXX8atf/Qr19fW49dZb8bGPfQw333wzfD4fdDodNBoN1Go1Q0EiIjovSZIQjUbxm9/8BqOjowAAnU6HhoYGtLa2olgs4sYbb4QsyygWi+jr68Nvf/tbuN1ueDwe7N69m5NcEREREREtQwwJV4jVq1fjf/7P/4m1a9fCaDRCr9dDp9NVVQ0SERGdjyzLmJ2dxb/9279h586d2LNnDyRJwuTkJH75y1/iV7/6Ff7sz/4MAFAul9Hb24vvfe97+OM//mP09/fjN7/5DXbt2sWQkIiIiIhoGWJIuEJ4PB5s3LgRDoeDoSAREV2SQqGAf/iHf8CNN96Izs5OmM1myLIMn8+H9vZ2ZLNZNDc3o1QqYWRkBL/85S/R1dUFj8eD0dFRFItFzMzMwO/3V415S0RERERES4/f0FcIjUYjKgeJiIguhSRJePPNN2G322G32wGcHbvWYDCgubkZGzduhE6nQ7lcxtTUFA4dOoQ777wTKpUKpVIJMzMzGBsbgyRJS3xLiIiIiIhoLoaEREREtGg6nQ6vvPIKxsbGxDq9Xo+Ojg5s375dhIHvvPMOamtr4fP5AAD5fB6JRAJms5l/WBERERERLUPsbkxERESLotVq8eCDD+KZZ57BgQMH0NXVhU2bNmHbtm1ob2+HxWJBLpfD5OQkDhw4gJtuugkajQblchnRaBSpVAoej4chIRERERHRMsSQ8DwkScLIyAj279+P3t5eRKNRSJIEu92OhoYGdHd3o7u7Gx6PZ6mbSkREdMVpNBrs2bMHTqcT+/fvx+TkJAYGBnDy5Ek8/vjjWL9+vZj9+OjRo+js7MQLL7yAdDqNl156CVqtFna7nSEhEREREdEyxJDwPA4dOoQf//jHOHPmDLxeL1wuFzQaDfL5PN588038/Oc/R09PD/7yL/9yqZtKRER0xanVajQ0NODRRx/Ftm3b0NfXh7feegt9fX149dVXsW7dOuTzecRiMWg0GmzevBlmsxmRSAShUAhr1qyBwWBgSEhEREREtAwxJFxALBbDM888g1//+tfYsWMHPv7xj2PVqlXQ6XSYmZnBa6+9hr/6q7/CwYMHGRISEdF1TZZlDA0NwefzwWQyQaPRoKWlBQ0NDWhqasIPfvADTE9PQ5IkZLNZJBIJdHR04N5774Usyzhw4ADMZjPuvvtuzmpMRERERLRM8Zv6AkZGRnD48GFYrVbcdddd2Lx5M2w2G4xGIxobG/HAAw/gscceW+pmEhERXXGyLOPll19GJBKpmplYpVLBZDLB5/OhtrYWsiyjVCpBkiQ0NjZClmXkcjlMTEzAYDBgy5YtDAmJiIiIiJYpVhIuIB6PI5vNQqPRQKs9924yGAx4z3vegxMnTixB64iIiK6u/fv3o7OzEzU1NdBqtZBlGfl8HpOTkzCbzejo6IBKpYJOp4PD4YDNZoMkSZiamsLg4CDuuusuGI1GdjUmIiIiIlqm+Hf+AmpqamC32zEyMoIDBw5gfHwcmUwGsiwDAHQ6HW644QZ8//vfX+KWEhERXXnhcBhvv/02RkdHEQqFEAwGMTY2hvHxcfj9fmzfvh1qtRo2mw2NjY0ol8uYmppCf38/JEnCe97zHgaERERERETLGCsJF9DW1oYNGzZg3759+MY3voGxsTE89NBDWLt2Lcxms1jYbYqIiK53KpUK733ve9HV1YX9+/dDkiQUi0UxOcmGDRvEdkajEc3Nzejs7MSLL74InU6HT37ykzCbzQwJiYiIiIiWMYaECzAajfjoRz+KYrGIp59+Gk8//TS+973vwe/345ZbbsHu3btx5513oqamBkajcambS0REdMWoVCp85CMfAQDceOON591Wq9WioaEBTzzxxNVoGhERERERXSYsgzuPtrY2/Pmf/zl+/vOf4//7//4/3HLLLUgkEvjBD36AT3ziE7jxxhvxgx/8AOVyeambSkREREREREREdMkYEl6AVqvFunXr8JnPfAbPPvss+vr68PTTT+OBBx5AMBjEJz7xCRw+fFiMVbhcybIMSZIuepFleVELERERERERERFdu9jdeAGVwZcyhpJarYbL5cKDDz6IO+64A5///Ofx93//9/jJT36CzZs3L1VTF2V8fBxf+MIX4PF4oFarodVqYTabodFooNPpYDQaodVqq9ZrNBrY7XYAZydqsVqtAACTyQSDwQCVSgWr1Trv7M/LEcfCIiIiIiIiIiKa37WR7iyB3t5e/OVf/iW2bNmCT33qU+ecr9frsXPnTvz93/89otHoErTw4iQSCbz00ktIpVKQZRmFQgG5XA7lcrnq+KVSqVQwm83Q6/VQq9UwGAwwGo1Qq9UwGo0iVLTZbNBoNFCpVHA6nQDOVmtarVYx4L3BYDhnH3q9HhaLBSqVCnq9HmazGQBgNpthMBgAAHa7HWq1GhaLBXq9Xlxep9PBZDJBr9e/6/uRiIiIiIiIiOh6xJDwPBKJBE6fPo3h4WG0tLRUnVcsFvHOO+9ApVJh48aNS9K+i9Hd3Y1/+Zd/gcViAYDzdhGWJAm5XA75fB4AkM1mkcvlxKKsy+fzkGUZ+Xwe+Xwe5XIZpVJJbJfP51EoFCDL8rz7AyC2nZ6eRi6Xqwowldkz8/k8isWiaFfl/s9nocpBJbhcaDGZTABwznoldJx7Wq/Xi4Czch8GgwEmk6lqn8plrFaruBwRERERERER0VJjSHgBP/zhD5HNZvHRj34U69evh9FoxMjICJ555hn83d/9HTZv3ownn3xyqZt5QSqVSnQhvhBZlqHT6WCz2cTpyvPm2/5C697t6YXakU6nUSwWIcsy4vE4ACCZTKJcLlcFlblcTgSO2WwW5XIZ6XQakiQhk8mI83K5HEqlElKpFAAgFotBkiRks1kUi8Vz9pXP51EqlZBOp0XbKoO/uSGgclqpiDQYDNDr9SJsVKok1Wo1bDabqIzUarUibNRoNKLyUqnMVCol5+5L2V55LJVqS6WbeGVlJxERERERERGtXAwJF9DR0YEvfvGLeOWVV/D222/js5/9LGZnZ5FKpWAymdDc3IxPf/rT+N3f/V2YzebrKmRZKNhabmRZhtlsFoFhIBAQ65XDyuOX67wLHSrh5NyqR+VQqZZUAkwlbJx7XKVSIZfLiWAykUhgZmZGbFO5yLKMUqlUdb2SJFWFksqhslSuB852obfZbKILt7IoVZOVx+ceKpWTc9cvtB/lMjabbdk+v4iIiIiIiIhWEoaEC9BqtVi7di3a2trwxBNPoFAooFwuQ5IkqNVq6HQ6WCwWhhxLaL6ga6ktdiboS9nufLNNz91WCQwLhQJKpRIymQxkWUYikQBwttpSkiQkk0nIslxVfVl52cru3rlcDslksqqSslAonBN4FotFANWB5HyLWq0WVZFK5aRKpYLD4aiqkjSbzVVhpFItqRyvDDXNZrOoglXGupx73nJ6vhAREREREREtFwwJF6BSqaDT6aDT6cQMv0QXUlmlt5TmBouSJAGAmJxmvsO52yuH86270DZKkKhUQlYGikoQmU6nIcuyCDCVQ6U7uNKVOxKJVAWWpVJJ7FM5roT4arVadK0HILpSq9VqcZ4ywc58VZJK+K/M8q0EkmazWYSOlecpwaUyOY6yD+V8TpZDRERERERE1wqGhETXocpqvaWgVN3OtyiBpHJYKpUAAKVSSZyuPL9yX/Mdr1wHAIVCAclkUoSHlRWOlWNKlkolMdlO5aQ7sVisap1yXAk9i8WimEhHCSSVEFI5XrlOCQsrx6BUKhx1Op04rmyjBI6VVZOVoaOyKJdTZv1eDuE0ERERERERXbsYEhLRZbfYSXIuNyVULBaLKJfLVUGicrzyvLlBY6lUEgHgfJcvFApiu8pu2Mpppbqxsru2Mmt35fpQKCT2rexTaXepVKq6TpVKBa1WWxVAajQa6HQ6cWixWKDT6aoqIpUqybnr526jBJPKPpQJb5TzjUYjtFotQ0giIiIiIqLrHENCIrpuKIGaVnvl39oqKwwrA8a51YlKV2jluBIMKttUnq+EhJVLZXhYLBaRyWTEcWVRqi9zuRxSqZSoqgSwYDWnUgkpyzLy+TwMBgM0Gg20Wi30er0Ye1UJIzUajeiarYSJStioVD8qx81ms6iE1Gq1VceV8FI5bjQal6zilYiIiIiIiP4DQ0IiokughJEGg+GKXo8SQCqLUrlYuWSzWXFcqXCsDBmVbtdKuKhUPFZevrIbtnJ+sVhEIpEQQSjwHzN5K5TxL9VqtRiTUhn/UTlfqUZU7i+dTifCSGVmbCV4VAJEpZJRCR6VLtnKdsrx+U4r+1uKalYiIiIiIqJrFUNCIqJlrHJcQwCXfSIlJeSrHG9RCR0rJ59RwsX5xndUxn2snKAmm82K/VWGkolEoqpqUqlorJxgpnICmoXOU7pez+02rVQ4KpWLynoleFQCxMqAUTmubK9cdqFtiIiIiIiIrkf8tUNEtIIpIZzZbL5i15FOp6tmt66c9TqXy4lwMZ/PI5vNim2Vyynrle1yuRyy2WxVmKmM4Vh5WpZlUcGodKVWKgyV9ZWnK7tbV856rcxcXdndWrl8ZZio7GPu+fNdl3JauQwREREREdFSY0hIRERXlMVigcViuez7LZfLIkBUgsdsNotMJiPCxXQ6LaocM5kM0um0CCqz2aw4nclkxGE+n6+a3Ebptq0Ej5WzTFd2k66sUJzvtNlsFuMwmkwmWCwWUfVYORmNsigB4vnWzQ1BlfWcaIaIiK5HwWDwnKFP6Mry+Xz8XkG0gjAkJCKia5JGo4HZbL7sVZBKN2ulWjGVSonj2WwWyWQSmUym6vzK05lMBvF4XISXSvAoy3LV5DHKBDIajQZ6vV6EiMr4i5XVi0pVY+VpvV4Pi8UCq9Uq7ger1QqTyVQ1E3ZlV+3KMLGy+/bc8FFZr9PpAIA/DoiIaFn4zne+g0KhsNTNWDFUKhU+85nPLHUziOgqYkhIRERUQan+s9lsl22fStWj0sU6kUggmUyK0/F4HIlEQmyTTCaRSCSQSCSQy+UQi8WQTqeRTCZF9WM6nRZBo7IoQaRWq4XNZoPVahUVj0qIqASLyozUBoMBVqsVdrtdLEoQ6fV6odVq5x0T8kLr5q5XurYTERFdqs9//vMwmUywWq1Qq9VL3ZzrlizLSKVSCIVCDAmJVhiGhERERFfY3KrHQCDwrvYnyzJKpRKSyaQIDpPJJFKpFFKpFOLxuDitnK+cNzMzg6GhIaRSKbE+n8+LkLFyUalUIkA0m82i67hy3Gq1VlUyKufbbDaxWK1W2Gw2GI3GqrBwvmWh8yvX80chEdHK9hd/8Rf44Ac/eFn/zKNqpVIJP/jBD/Dkk08udVOI6CpjSEhERHSNUboCu91uuN3ud7UvJXBUKhcrw0WlojEej4t1lUHk2NhYVUipjAGp7FdZgLNBqc1mg91uh81mqwoZK4PFympHZXtlcTgccDgc4j6orE6c73Du+fMdJyIiIiKisxgSEhERrWBK4OjxeODxeN71/iRJQiaTQSwWE4sywUw0Gq1ar4zbmEwmMTY2hng8LgLJTCaDVCoFAFWD1MuyDKPRCKfTWbWYTCYYDAbYbDY4nU4RKCqLss7pdMLtdkOv158TFF7s6YXWERERERFdixgSEhER0WWjVqtFhWBDQ8O72tfcwFEJGaPRqFgqA8dUKoXJyUnE43HEYjFEIhEkk0lIknTOvo1GI1wuF0wm07yhY+VSGTLa7XYYjUaYzWZ4vd53dfsAhoxEREREtHwwJCQiIqJlSaVSiXEO6+vrL2kf+XxeVCgqXacrl1gsVnU6GAyir6+vantlduq5bdPr9edUK7pcLtjtdjidzqou0pVdpisPL/fs3EREREREl4ohIRERES1L77bKTpZlGAwG1NbWora2tmr9fNsutK5YLCKdTiMWi4lZqTOZjAgZK6scY7EYgsEgTp8+XXV+NputqmhUbptara6qZHS5XPMezq1qdDqd8Hg8sFqtrEYkIiIiosuCISERERFdlxYKzy42VNNoNDAajWKSGCU8rDy80PFCoSAmf5mvonFudePIyAgOHz4s1mUymar2q1QqaLVaWCyWqu7QlSFi5TJf2KjMOE1EREREBDAkJCIiIjqvuTMnXwqTyQS73V4167Msy5Akad7j853O5/NiFmqlO7QSOiqzUcfjcYTDYZw+fbpq22KxWDXjs1qthl6vFzNIL9QleqEJYDweD3Q6HasYiYiIiK4jDAmJiIiIrjAlnHs3ZFmG3++HJElVS7lcPuf03HVK9+jK4DCZTCKVSp2zTE9PV51Op9OQZRlqtVosGo0GVqu1KlRUAsfKZaEqR71ef5nuWSIiIiK6XBgSEhEREV0DVCoVNBoNNBrNRV9WCQ9LpZIIES9mSafTIlhUgsZ0Oo1MJiOWdDqNmZmZc9YVi0XRbq1WC41GA4vFcs7M0Q6HAzabbcGqRpvNBqPReAXuWSIiIiICGBISERERXfeUCkCdTnfRl5VlGeVyGcViEaVSCaVSacHjcxflvHw+j2QyiUgkgkgkgmw2i1wuh3w+j1wuh4mJCQwODopu09lsFuVyWQSLOp0OWq0WWq1WjA/pcrlgtVphs9mqDpVF2cbhcMBgMHD8RSIiIqILYEhIRERERAtSJknRai/ta6MSMhYKBeRyOeRyORQKBRSLxXMOK8/P5/PIZrOiYlE5VMLFSCSCYDCIQqFQtZ9sNismmzEajdDr9TAYDDCZTDCbzbBYLDCbzbBaraKK0WKxVC1Wq1VUO16OruJERERE1wKGhERERER0xVSGjGazedGXU6oX8/m8CA2VQ6U7cz6fP2dRxlKcGywWi0WEw2EEg0GUSqWqiWGUbtg6nQ4Gg0EsSoBoNpurAsb5DpUKRovFwjEXiYiI6JrEkJCIiIiIlh1lHMOLHYewXC4jm82KJZfLzXt6vvWV4ylms1kEg0HIsgwA4lChnFar1aJS0WKxiIpFpVpROV4ZKprNZrG92WyGwWC45EpNIiIiosuF30aIiIiI6LqhzLxstVov6nKyLCObzYoZnSsnX5k7GcvcMFHpAh0MBpHJZFAsFqHT6URFoVJNqdfrodPpoFKpREioBIlGo7GqilEJE5XTSlfoyvPZFZqIiIguJ4aERERERLTiqVQqEcxdDEmSkM/nkU6nxSzQ0WhUnI7FYuK0EjJGo1GEQiExlmKpVIIsy9BoNCJcVMJAJVg0mUxwOp2i+tDhcFSNu6h0lVbCxsrTRqMROp0ORqORoSIREREtiCEhEREREdElUqvVMJlMMJlMqKmpWdRlisUi0um0qFpMJBKIRqOIxWJIp9NIJpOIRqOIRCJIpVKIRqMYGBhAoVAQs0YXCgVotVpYrVYRFJpMJlGZqJx2u91wOp1iohYlgFRmjK4MIpVqR+V8nU4HjUbDYJGIiGiFYEhIRERERHQV6XQ6OJ1OOJ3ORW0vyzIKhQISiQQSiQSSySRmZ2cRDoeRSCREkDg7O4tYLIbZ2VnE43EkEglRqagsZrMZTqdTBJtKO5SxFF0uFzweDxwOBxwOB6xWqwgMlQlo5h6vPA2AoSIREdE1iiEhEREREdEyplKpYDAY4PV64fV6F3UZSZKQy+UQjUZFVWIkEhHdn8PhsFjX19eHSCSCeDyOYrGIcrkMSZIgSRL0er0IDJ1Opzh0u91wOByoqalBTU0N3G43PB4PdDod1Go1tFqtmHxGWZT1arVarCMiIqLlgyEhEREREdF1Rq1WizEW6+vrF3WZUqkkxlRUKhOVIDEcDmNmZgaRSASnTp3CzMwMwuEwCoWCCBTVajWcTidcLhe8Xi9cLpeoTHS5XHC73aipqYHH4xHVimq1umpRqVQiRFSOKwvAKkUiIqIriSEhERERERFBq9WKAG8xZFlGLpfD9PQ0pqenEYvFEAwGxfGZmRmMjIxg//79mJ6eRjweF5O0yLIMtVoNh8MBr9cLn88Hn88Hh8MBv9+P2tpaOBwOsd7r9YqJV5TwEIA4vdBCREREi8eQkIiIiIiILppKpYLJZEJraytaW1svuH2pVEIikUAwGEQoFEI0GkUwGMTU1BSCwSAmJycxOjqK559/HhMTEygUCpBlGcDZQNJisaCmpkYEhx6PB263W4SILpcLfr8ffr8fPp+vqjtzZWCoHJ8bIjJUJCKilY4hIRERERERXXFarRZutxtutxtr1qy54PbZbBahUEiEiNPT06Lr8/T0NMbHx3H06FFRyVgqlcRlDQYD3G43XC4XAoEA/H4/nE6nCBCVQ6Vy0m63L/p2MEwkIqLrFUNCIiIiIiJadoxGI5qamtDU1HTBbSVJQjQaxdTUFGKxGKampjA5OSmOT01Nob+/H1NTUwiHw8jlcqJKUaPRwGKxwO12i0rEQCCAlpYW+P1+1NXVIRAIoL6+Hg6H40rfbCIioiXDkJCIiIiIiJadi6nYU6vVVeMpKgHgfMfL5TLi8TjC4TBCoRBCoZCoVAyFQpicnMT+/fvxs5/9DDMzM6JCUaVSwW63o66uDj6fT1QoKpWJlYvT6YROp7tM9wQREdHVwZCQiIiIiIiuaRczvqBGo4HX60VNTQ06OzvFRCoLLUo1otKtWQkVZ2ZmcPjwYdElOpVKietWqhMDgQCamppQW1uLQCBQFS76/X40NDRAp9OxCzMRES0LDAmJiIiIiGjFWGjikvnIsgyTyQSfzwdJkqoWWZarTitjKE5OTiIUCmFmZgbhcBizs7OYnp7GsWPHxDplhma1Wg273S5mePZ6vaitrRWHynFlxufKyViIiIguN4aERERERERE81CpVCLQuxBJkuDz+dDd3Y1yuYxyuYxSqSSOK0s2m0U0GsXMzAxCoRBmZ2cRiUQQiUQQCoVw+vRpRCIRJBIJlEolaDQaaLVamM1muFwueL3eqhBxbrhYU1MDrVbL6kQiIrpoDAmvU7IsI5vNQq/XL3VTiIiIiIiue0pl4PnGIlS6MJfLZRSLRRSLRZRKJXFYKBTE8Ww2i1gsJqoRI5EIYrEYYrEYotEohoaGEI1GEY/HIcsytFotdDodLBaLGJ+xMkxUxk/0+Xyora2FwWC4ivdOtaNHj2JmZgZtbW1obW1dsnYQEVG1JQ0J/+RP/gQul2spm3DdUr58qNVqnDx5Ej09PVWDNhMRERER0dVVWZl4oYlNJElCsVhEoVBAoVBAPp8/53g+n0c+nxfBYTgcRjweRzKZRDqdxsTEBHp7e5FIJJDNZgGcnTXaZDLB7XaLAFGpSFSCRK/XC6vVuqgKyktx5MgRPP3001Cr1bjvvvvwwAMPoKGh4YpcFxERLd6ShIStra34T//pPyESiSzF1a8og4ODCIVCOHz4MD71qU/htttuw/bt29HY2MgqQyIiIiKiZUqtVsNgMCyq4i+fzyOXyyGbzSKfz1cdKksqlRKzOkciESSTSSSTSQSDQWQyGaTTaZTLZZjNZphMJjgcDlGRWFNTg5qaGhEm1tbWwm63X/IYicPDwzh8+DBisRj6+/vx6quv4p577sF9990Hr9d7SfskIqJ3b0lCwubmZnz4wx9GqVRaiqtfUWZmZjA8PIxjx47h6aefxqFDh/DTn/4Ua9aswaZNm7Bp0ybU1dUxMCQiIiIiukYpYaLD4Vhwm3K5jFwuh1QqVbUkk0lxmEgkMDs7i2g0ilQqhVAohImJCdEVWpIkGI1GOBwOOJ1OESAq4yQqi9vtFlWTc8myjGAwiFgshkwmg76+PoyPj6O3txdvvvkm7r77btx5552w2+1X8i4jIqJ5LElIaLFYYLFYluKqV5yOjg78wR/8Af7oj/4IqVQK77zzDg4dOgSPx4Ouri6sWbMGnZ2d6O7uRnd3N+rr6y/Y9YGIiIiIiK4tGo1G/A7z+XzzblMsFhGPx8WSSCSqDuPxuOjaPDU1hcnJyaou1CqVCm63Gy6XCy6XC06nEy6XSwSJLpcLGo0Gs7OzovuzLMtIp9M4cuQIent7ceLECRw8eBC7d+/GLbfcAqPReDXvJiKiFY0Tl6wAjz32GH70ox/h5ZdfFtWbs7OzeOONN/DGG2+gpqYG3d3d2LhxI7q7u7Fq1SqsWrUKdXV1V2wcEiIiIiIiWl50Op3oWjyfcrmMdDqNmZkZ0W1ZmVRldnYWk5OTmJ6eRn9/PwBAq9VCq9XCYDDA5XLB7XZDr9fj5MmT54yXLkkSstks3nzzTRw4cACHDh3C8ePHsWPHDvT09Fxy12YiIlo8hoQrgMvlwn/9r/8Vx48fRzAYhCRJACA+mMPhMH7729/i1VdfhcvlwpYtW7Bt2zbccMMN2LZtG2pra5ey+UREREREtAxoNBrY7XbY7Xa0t7dXnSfLMlKpFKanpzE9PY2pqSlMT08jGAwiGAwiFArhzJkzmJycxOjo6ILXUS6XUS6X8fzzz+O3v/0tHnzwQTz00EPYuHEjJ2IkIrrCGBKuEPfeey/uuusu/PjHP0Y6na46T/mwlWUZkUgEL730El555RWsW7cO3/jGNxgSEhERERHRealUKthsNthsNqxateqc8+PxOKanp/Gd73wH3/ve95BOp0XxwnwkSUImk8HTTz+NZ599Fk8++SQKhcIFL7cUkskkDhw4UDXmvl6vx+rVqxEIBMQ6SZIQj8dx4MABsU6lUuHOO++8qu0lIloIQ8IVQqPR4DOf+QzefvttDAwMLDhpjCzLkGUZDocDO3bswLp1665yS4mIiIiI6HrjcDjgcDhgs9nEb47FkCQJkUgEX/3qV1EsFnHmzBlks1nY7fZ5J0ZZCtPT0/jiF7+IU6dOIRwOw263o7u7G5/97GexZ88esZ0kSRgaGsKf/MmfYGxsDBaLBXV1dQwJiWjZ4IBzK8jatWvx1FNPwev1LviBqlKpYLVacfPNN+MLX/gCtFrmyEREREREdHmMjIwgEoksGBJqNBqYzWbU1NTA5/OhsbERq1atwq233gqNRiMmUCmXy1e55QtbtWoVXn75ZfyX//Jf4PF4cNttt+Ef/uEfcN9991Vtp9VqsWnTJvz617/GzTffjM9//vN4++23l6jVRETnYgK0wvzBH/wBXnjhBUSjUeRyuXPOV6vVWLNmDf7qr/4KLpdrCVpIRERERETXI0mSMDk5iVQqBbVaDb1eD51OB41GA5VKBb1eD5/Ph7Vr12Lt2rVYs2YN1qxZg46ODmi1WtjtduzcuRN1dXXLspjh/vvvx3e/+1289tprGBwcxIYNG85pZ7FYxMjICE6cOIF//dd/XaKWEhHNb/m9s9IVZbPZ8Md//MeYnJzE6dOnq/7BU6lUcLlcWLt2LTweD8rl8jU3i5gsy5AkCbIsQ6VSVS3K+QDENmq1uur8q9XGymVuG690WyrHoJzbhrnbzG3b5b5u5Trmm0Vb2UaSpAUfy8rHWtlX5WUXenzn/nO90PlzXx/nux/m3qZLuc8qHxOFchsq2zT3PpnvNsx3e5Txexa6z6+2hboaXcprYe59p9xnc5/fyvnK7Z/7vK+8ny/UDuX+nG9fS2W+565ivtsz9z1xvtdZ5f1Y+byZ73Wz0PvaYtq90HtS5W26HO/Zle8tyu2Y+xjOfX+52Md47vuXctn53iMu5Xm+0Gu58ryLva/O9xgo519suxf6TJ7b1rn3sXIZ5fS7ecwv9D5TaTFtVe7Xyn1crufLYt6zLma/C11H5T7m21flc3XuNgu9Z8zX1vneR+b7fjb39fJub+uFbv+lPE6Vj7Hy3bjy/jzfvha6Ly+lzUq753scltNn0fnE43HkcjnRzbarqwtr165FV1cXurq60NHRAbvdvtTNvGQ9PT1Ys2YNRkZGsH//fmzduhUtLS1V20QiETz//PO47bbbOPY7ES07DAlXoD179uDZZ59FNBpFKBQSXy5Wr16NVatW4cUXX8SpU6fwpS99CTfccMNVD9HejVQqhf7+fkxNTcFkMqGxsRH19fUwm80Azs6WFolEMDQ0hEgkgqamJrS0tMBisbzr6z7fuCqV91+pVMLs7CzGx8cxOzsLg8EAn8+H2tpaOJ3OSw5mLzSuS2UbCoUCpqenMTQ0hEwmg5qaGlitVqjVapTLZaRSKeTzebhcLjQ3N8Nmsy1qv4tpYyaTwdTUFEZHR6FSqbBmzZqqAZ0r2zgwMIDx8XHY7XbU19ejtrYWRqMRsiwjmUyiv78fY2NjcDgccDqd0Ov1kGUZMzMzKBaL6O7uRn19/Tn7LpfLKBaLUKvV0Ol08wZFsVgMkUgExWIRDodj3jbOvV3xeBySJMHlcl3Sc6pYLCISiWBsbAzxeBwulwttbW2iqrdYLGJ8fBxnzpyBRqPB6tWr4ff7odFozvsjuFwuIxqNYnx8HJlMBs3NzWhoaLjo9l3IYl8DynbZbBbRaBSZTEY874vFIpxOJ2pqaqp+jF9IKpXCxMSEeE0ZjUZks1lEIhFYLBa43W7IsoxwOAyLxYL29nY4HI6qH8PpdBrhcBjJZFL8SWI0GuFyuaBSqVAul2Gz2WA0GhGLxTAwMIBCoYCOjo7zDuNwsffVQvfbYvc3MzODWCwmntupVAp2ux0ejwcmk6lqv+VyGfF4HBMTExgfH4fRaEQgEEBDQwNMJhOmp6fR19eHfD4Pr9eLpqYmuFyueas3MpkMRkdHEQwGUVdXh+bmZhgMhkW1P5/PY2ZmBqOjo0gmk7BareL9sFgsIpPJYHZ2Fl1dXWhubhYVJ4u9TypJkoSJiQn09vYin8+jrq4OnZ2dVa/ZWCyGU6dOIZVKwe/3o7GxEXa7fdHvz/l8HqOjozhz5gz0ej1cLhd0Oh0KhQKKxSJsNhvq6upgt9sXFdgrtzWRSGBychJjY2MoFAqoq6tDS0sLHA4HSqWS+ANQrVYjEAigo6MDRqPxgvsFzn42hcNh0Q1QGTtMo9GgVCohmUwiEAigvr4eOp2uKkhXzA1Dkskkzpw5g/HxcZhMJjQ1NaG5uRl6vR6jo6M4deoUSqWS6EqofFafOXMGIyMjMBgMaG1thc/ng06nW9R9P7c95XIZoVAIqVRKBH0mk0lcl9PphFqtxuzsLCYnJzE0NAS3241AIIDm5maUy2UMDw9jcHAQarUazc3NaGxshNVqFbe/8ruHz+eren9ZjGKxiFAohKGhISQSCbjdbnH5YrGIXC6HpqYmeL1eERBd7HtDqVRCMBhEOByu+uxra2sTn11ut1u8tvP5vNiuUrlcRiwWw/DwMEZHR1FbWwu3241yuYx0Og2j0YjOzk7xWa1SqZDJZDA9PY3h4WHk83nU1tbC7/cjEAhAo9GgXC5jYGAAJ0+ehM/nw+rVq+HxeC7rd89SqYSRkRExw67f70dHRwdcLtei3k8A4OjRoxgYGMAdd9wBp9OJYDCI/v5+6HQ6dHZ2nrcHTrFYBIBzvnOcTy6Xw8zMDEZGRhCNRlFXV4fa2lo0NjYCOPu8O3bsGILBINra2tDZ2bno99ylZDAY8NWvfhV2ux02m+2a+Y1xMfbs2YMjR47gt7/9LXbv3o3m5uaq0DwSieCFF17A5z73uSVuKRHRuRgSrlCf/vSncfr0abz00ktQqVRoaWnB7/zO7+AP/uAPcPjwYXzuc5/De97zHvy3//bf8JnPfOaifqwvpWQyiRdffBE/+tGP0NzcjMcffxwul0v8GCiVSpiYmMAvf/lL9Pb24pFHHoHX633XIWFlsBQMBgGc/SFqs9nQ2NhY9YW+UChgfHwcP/nJT/DWW2+htbUV9957L9avXw+bzXbJIWGxWEQ0GsXs7CxkWYbVakW5XEa5XIbX64XT6RTb5vN59PX14Wtf+xrGxsbw0EMPobW1FTqdDvl8HiMjI5iYmEBLSwvuu+8+mM1mxONxMX6MLMswm83w+/3QarWLfm5IkoREIoF33nkHP/rRjxCNRvGJT3wCjz322Dn35/T0NL75zW9i//79uP3227F7927Y7XYYjUaUSiUMDQ3h+9//Po4cOYJt27ahpaUFZrMZwWAQv/zlL2E0GvGnf/qn4kdIpenpaUxOTsJut6OxsbHq8ZdlGalUCvv370d/fz/i8Tja29vx+OOPL3i7ZFnG4OAg3njjDWg0GuzevRttbW2Luk8qFQoFjI6O4te//jXeeust1NfX46mnnsKOHTsA/Mfj9r3vfQ9msxkf+chH4PV6odFoIEkSYrGYCMgDgYB43heLRYyOjuIXv/gFRkdH8fDDD1/2kFD5IRoKhRCPx8UPP7fbDbfbDeA/qlMkSUI0GsXo6CgmJydRLpdhtVrFF2dJkrBx40bRtWgx1z0+Po6XXnoJk5OTaGhogN1uR19fH15++WWsX78eu3btgizLePvtt2G1WvHYY4+JHyflchnT09Po7+/HxMQE8vk8NBoNdDodzGYzTCYTgsEgampqcNNNN8FoNCIajeJ73/sewuEwfvd3fxdut/uiqjOVgctLpRJcLheMRmPV5fV6PfR6/UXd96VSCYODgxgYGEAulxPhx9TUFDKZDLq7u9HV1SWCH+UyMzMzeOmll/Dd734Xa9aswf333w+n0wmtVovx8XH8n//zf5DNZrFnzx7ce++9sFqt8/6oTqfTePPNN/HMM89gz549ePzxxxf9gzWbzaK/vx9PP/00+vr6sHXrVmzevBlGo1EEDC+++CKeeuopBAIBEXae7/5Qgn5JkkTgqzxOg4OD+Pu//3tMTU3hiSeeQF1dXdX7QDQaxU9+8hNEIhHs3LkTFosFFotl0e/PmUwGBw8exP/9v/8XXV1d2LFjBxwOB1KpFEKhECRJwrp163DrrbfC7XYjn89jdnYW+XweuVwO6XRa/EFQ+byIx+Oie9rk5CT27NmDD3zgA7BareI6v/vd78Lv92PHjh0IBAIwGo0YHR1FJpNBPp9HqVRCW1sbHA5H1Wd7oVDAyMgIvvOd7+Dtt9/GHXfcgZ6eHuj1eqRSKZw4cQIqlQq/8zu/g5aWlnOe78r7oNFoRE1NDQwGA+LxOF544QV861vfwurVq/HEE0/A7/dDp9NhcHAQf/7nf45yuYyPfOQjqKurg8lkgkqlwtGjR/Hcc8/B6/Xivvvug9vtvqSQsFQq4eTJk5icnEQ+nwcAEToDQEtLC7Zs2QKDwYBQKIRXXnkFf/3Xf43HH38cu3btgt/vR6FQwMmTJ/G3f/u3KBQK+PjHP44HHngAZrNZBHahUAg///nPcezYMezatQtutxs2m23R7wn5fB4DAwP413/9V5w8eRIPPfQQVq9eDbVajXQ6jenpaZhMJrz3ve9FXV3dop+Hyud1MpnEqVOn0N/fj0wmA5PJJP4YTKfT2Lt3LzZu3IitW7fCarUCAN5880243W6sWbOm6r1ICV2fe+45/L//9//wh3/4h1i/fj3y+TxCoRAmJyexa9cu7Ny5UwSp6XQax44dw9e//nXEYjE88sgj2L59O3w+H9RqNQqFAn7961/jhRdewM6dO+F2u0V4d7kofzz+9Kc/xXPPPYcPfvCDeOKJJy4q/N+3bx/+6I/+CIcOHYLdbsf09DT+8R//ET6fD5/4xCeq3lsrZTIZ7N+/H4FAAKtWrVr0d6ZMJoO+vj5885vfxIEDB/DJT34SW7ZsEZ/fiUQCe/fuxU9/+lP8/u///kX9MbOUzGaz+H5yvbrvvvvwb//2b3jzzTdx4sQJ3HrrreJzK5FI4PDhw8hms7j77ruXuKVEROdiSLhCNTU14amnnkIoFMLo6Cg+/OEP4/d+7/dgNBpx00034Yc//CH+4R/+AX/xF3+B1157DV//+tfh9/uXfVAYCARw++23o6+vDy0tLdi6dSs8Ho84X61Ww+v14p577sH73vc+bN68+bJcrxIyHDx4EMFgEF6vF7FYDACwe/duNDY2ivvObDajpaUF7e3tiMfj2LVrFx588MF3Pa5KKpXCgQMH8Pzzz2NmZgZNTU1wu92or6/HzTffLEJClUoFm82Gzs5OtLW1wefz4UMf+lDV4xuNRsXMcVqtFsFgEMPDw4hEIgDO/sgqlUrYsGEDOjs7F91GjUYDl8uFNWvW4JZbbsGBAwcwPT19znbZbBZjY2OIRCLYtGkTPvShD6G1tbXqtiaTSWzcuBGPP/44Nm/eDFmWMTs7i5/85Cfwer147LHHcPPNNy94X01PT6NcLp9TIagELUePHoXH44HH4zlvJQ5w9gvfqVOnsG/fPvh8Pmzfvn3R90kli8WClpYW3HbbbZAkCcPDw+jr68OWLVtgMplgsViwZcsWURnX3d0N4Gy1QSgUwokTJ/Cb3/wGLS0teN/73ie+hBuNRng8HtTX18NoNM5bXfluKT+UX3vtNWSzWdTW1iIajcJms6Gnp0cEypIkYXR0FMeOHUM2mxUVzBaLBbIsIxqN4tvf/jZ++tOf4oMf/CCampoueN3K87G9vR133nknOjs7kUql8Nxzz2FgYAC33347Hn30UQBAV1cXZmZm4HQ6RUB46tQpvPXWW8jlcli3bh16enpERUg0GsWzzz6Ln//853jsscfgdruhUqnQ2toqKnCVH7oXo1Ao4JlnnsHJkydFJZjyHuBwOHDDDTegtbV10T/4MpkMDh8+jAMHDmDNmjXYuXOnqADO5/P45je/ib1790KSJPT09IjzDAYD6uvrsXr1ajQ1NWHPnj146KGHRFt6enpQW1uLhoYGPProo2hsbFzwB7XT6URXVxcCgQACgcB5K5Dnu2xHRwdaWlpgNBrx8MMP48YbbxTXlcvl4Pf7sXr16guGp5IkYWxsDH19fYjH49DpdEgkEkgkErjnnnvQ0dGB7du3Y9u2bTh58iR2794Nv99ftQ+z2Yz77rsPPp9P/AFxMVwuF1avXo26ujo88MADuPfee+FwOAAAExMT+O53v4tnn30WgUAA3d3dGBgYwNTUFNRqNRKJBF5//XVs3rwZDzzwQNVnWGNjIxobGzE1NYXf/va3CAQCouq2UCjA7/fj937v97B582YRzp85c0YEx5FIBKdOncKmTZuwa9cu1NbWisfabDajubkZq1atQjabxRNPPIG1a9eK+/T48eN46qmnsHnzZtTV1Z3zvqi8dtvb23HPPffA6/WioaEBO3fuxL59+3DTTTfh1ltvFc+LXbt2obGxEQaDAffeey9qamrEZ1BnZyeamprQ0NCAmpqaS/58PHLkCN5++23cdNNNWLNmjagw/tnPfoZXX30V3d3d0Ov10Gq16OzsRDAYhMvlwpNPPonNmzeL1/UjjzyC48eP44033kBjYyPcbndV9bMsy9i6dasI9y42qLFarWhpaRF/1n30ox+t+myKxWL41Kc+BQD4yEc+sujXlvK+/Nvf/ha9vb1Yv349HnnkkaqQ/etf/zq++tWv4lvf+hYMBoMI9b7//e9jw4YNaG1trXrN6fV6tLS0YO3atfD5fPjkJz9Z9fr567/+a/zVX/0VvvrVr6Kzs1N87+rs7ERjYyPa29vx5JNPwuv1AoCogG1tbcWXvvQltLe3X5GhbsxmM+655x4cPXoUmzZtwsMPP4zOzs6Luq7bb78dgUBAVPBv3LgRBoMBmzZtQm1t7YLfkfP5PE6cOHHB7xJzud1utLW1IRAIoKurCx//+MdFiAuc/c774IMPoqGhAU8++eSy/46+ktTW1mL79u04ffo09u3bhx07duDGG28EAExNTeHVV1+t+qwlIlpOln5QKloSKpUKjz76KB544AH82Z/9GT75yU/CbDaLLxgejwef+9zn8LOf/QynT5/Gpk2b8Mwzzyy6i9xSUalUMJvNsFqtSCQSKBQKVd3qlEorvV6PzZs3X5au1Ep13GuvvYYXX3wRN954I973vvfhzjvvRDwex09+8hPkcrmqcYAikQimpqZgMBjED6B32xalG5XS5TYWi8Fut887FopKpcLk5CTC4TCamppgNpshy7IIWzQaDdxuN/x+P2RZRm9vL5LJJO666y5RTaTT6bB3796LaqNKpUKpVEImk4HVaoXX6xXBo6JcLiMcDmNiYgJWqxWNjY0wGo1V90+xWITBYMD69etFQBiLxfDyyy/j9ddfx86dO3HPPfeI65yrs7MT999/P2666aZzxr3J5/Po7e1FJBLBhg0b8Pjjj+O9733vgrcpl8thenoa0Wi0qrv2pVC6ZRmNRnR3d8Pn82FoaAgjIyMi0AqHw3A4HOjo6BCXyWazCIfDopt4oVAQzwdlm1QqJbraXomuxqVSCXv37sWZM2ewdetW3HXXXdi5cydOnjyJ1157TVTuTE1N4aWXXsLAwAAaGxuxZs0aWCwW8fharVasXbsWZ86cWfRsf0rl4urVq0Ugn8/nMTg4CJ1OB5/PJ54HBoMBfr9fVNkNDQ3hmWeeQTgcxk033YRt27aJ7sXK+0lXVxc2btwo1suyjEKhgKmpKXg8HtTW1l7SGI9KsH3s2DG89tpreOWVV/DjH/8Yr732GmZnZ6sewwvd9wcPHsS3v/1t1NXVYceOHSJEUKlU4rWiBETKHxjK+el0GkNDQzAajSI0Uu6vsbExhMNhBAIBcZ8t9F4Vj8cxMjIiZqS8mB/fKpUK4+Pjopur0tW4cgyu+vp6sd/zvVdOTk7i+eefx8jICHp6enDHHXegvb0d4XAY8Xhc7NPn8yGRSCCbzYo2AGcrIk+ePAm/34/W1lbx2Xgx788qlQrHjh2D2WwWlUrKPgwGA/R6PfL5vHhdvvzyy8jn89i+fTseffRRdHZ24jvf+Q4GBwfP6cKrUqlwww03wGw2Y3BwEJOTkwiFQhgeHoZGo8ENN9wgAsJ8Po9nnnkGjY2NuP/++/HRj34UW7duxfe//33s378fqVSq6rNJuY/8fv85t1s5nUwmUSqVqm5vsVhEb28vDh06hOnpaXG+SqWCVquF0WhELpdDuVwW+1Oq7pXhIZTtY7EY4vE4ampqRPfXS/1s/Na3voVAIICmpiYRgJlMJrS1tWHTpk1oamoS3T9LpRL279+Purq6qgpO5T64/fbbxWtF6Z5bLpcxMzODcDiM9vZ2ERBeyvNlfHwc0WgUDQ0N0Ov1Vfuw2Wx44IEH8MMf/hDxeHzR+w2Hw3juuefw61//GnfccQfuu+8+Ua2pLDfeeCNWr15dNdxJf3+/6CY/93WsUqmQy+Vw8OBBUWVYuT+73Y5QKIRCoVD13BoYGEAqlUJdXZ34zpFOpzE8PIyJiQnceuutWLVqVdVr5XKGXsr+Dh48iM7OTvFH0cVczyuvvIIdO3aIqlZl+JSmpiaxv/m4XC783u/9HrZt23bRz4vR0VFMT0+jra2targI5bNIqfqtvAwtPZVKhbvvvhutra3Yt28fDh8+DODsd9yxsTEcPHgQjz76KB8vIlqW+PfFCqbX6/HZz34WarVafKkF/uMLhsFgwG233YY33ngDX/jCF/DEE0/g0UcfxZe+9KWqf/yXG7PZDIvFgpmZGdG9CDhbnab88G5qapp3LKVkMomZmRkYDAZotVpYrVbRpUiSJGQyGcRiMZTLZTEbm06nQzQaRV9fn6iMUn6Ams1mvPDCC3j00UdRX18vrlPpBud2u+f991mSJORyOcTjcRSLRZhMJtTU1CCXyyEYDEKtVsPn8yEcDiMajSIQCECSJNE9VflBpFarF/xBPTk5iUgkgsbGRuh0OlGdp3R5VsbKSqVSYgwfpdqoclwV4Gw4EAqFoNVqYTabUS6Xkc/noVKp4HA4YLPZqv4tVfZvMBiQSCRQKpXE+fF4HPl8HplMBsViEU1NTed0LTSbzWKMKqV78MGDB/HCCy9g1apVeOihh+b9xz6dTlfdp0r3ZeDsF7dMJoORkREcPXoU0WhUPCfsdvuCz/dwOIxEIgGv14tAIIB0Oi0CMeU5o9xGq9UKl8sFSZIwMjIC4GxVb+V9owyKXldXh5mZGZw8eRKnT5/G6tWrxY8qZTZApU0ulwsOhwMmkwnHjx8/50ddoVBAIpEQj28mk8Hg4CDsdjtqamrEdkqXcuBs1W02mxVhrhKyFwoFUVVSKBRQKpVgt9uh1+tx+PBhOJ1OtLa2QqVSIRAIIB6PI51O45ZbboEsy9i7dy+Gh4exadMmrFq16pz3HpVKBaPRiHA4LMZMTaVSSKVSKBQK4vkkyzImJyfFQPdWqxV2ux1msxmSJCGdTmNiYkJU0yqsViv0ej3MZjOi0Sh+9rOfIZ/P49Zbb0VnZ6f4Aa3Q6/VoamrCjTfeWLWfiYkJFItFeL1eaLVa0c1aGbOwWCwin89Dr9fD4XCILpuTk5NwuVxwu93YsWMH7r//frS3twM4W5F67NgxBAIBtLW1Qa/XI5lMIp1OI51Oi/umVCqJ+8Jut2Nqagrf//734XA4sHnz5nPGHVSqhxOJBMLh8Dkz26fTaYyPj8Pr9Z4ztuKJEydExW3lH0nKayYajSKVSok/HoaGhuD1esXzSglTJUmCXq8XY4Ep3eQr9zc1NYVsNivGeysWi0in0zCZTNBqtQgEAlXjwCmXUZ6TsizDZrPhtddeQygUwoYNG2A0GlEul9Hd3Y1AICCq8pT30GQyKV6vijNnzsBsNotxBOe+9pXKXWVcU5VKhdra2nOqDU+ePAmXy3XOGI5jY2MYHx+H0+lEXV0dbDYbamtrUS6XUSqVoFKdnd1TCdXms2bNGnR1deH48eP47W9/i7Vr18JisYju5EqAkM1m0dvbi56eHrS3t8NgMGDbtm34xje+gbGxMaRSqaphLqanpzE7Oyuqe4Gz70m5XA4vv/wyfD4furu7z3lPnpqaEn8wzb2/tFotDAYDstksSqWSCNl7e3vh8/kQiUTEeuBsQOV0OkUX48rwdmZmRnTRlyRJvLfp9fqqcE0xPT2N6elpZLNZSJIkHi/lz6fK55MStnd3d4tqrcp9bd26FR0dHTh58qQYtzCVSok/HiuDSIUsyyiVSjhw4ACy2Sw2bdoEu92OaDQKi8UiPqeBs5/JyWQSmzZtqqpEVN4XPR6P6C5cOcTA2NgY1Gq1CFN1Oh0sFgvK5TJef/11PPvss7jjjjuwfv36c+4f4Oxn0N133w273Y5YLIZEIoGXXnpJjJ8ZCoXg8/mqhkRQQsIdO3ZUVRmGw2EcPnwYt912m/hTQTE0NAS1Wo22tjZIkoSZmRlMT08jlUph27Zt4jZXtk8Zo1T5jlMoFMSfcDU1NdDpdEgmk8hms8hms2hvbxd/Ks5H+ezbs2fPOV35AYj3SL1eD7VaDbPZXDW25N69e3HrrbeK13NfXx9cLpfogp1IJGCxWBAIBGAwGFAoFBCLxVAsFiFJEhoaGqq6qCvv5U1NTVCr1Th+/Lio7lbeb0dHRxGLxbB79+5zAk1ZlhEMBq+Jnj4r0fbt27Fq1Sq88847OHLkCKamplAsFnHo0CG0t7dfVE8cIqKriSHhCqb8o64cn+98jUYDr9eLv/mbv8Ett9yCP/uzP8Odd96Jv/3bv8XOnTuX5dgnSvgzMjKCfD4PSZJQKpUQj8eRyWRgt9vh8/mqLqN8YXvnnXdQLBZRU1ODYrEIi8WCtWvXwmg0iokyQqEQDAaDGITe6XTCarUil8uJL+jA2cGpDQYDotEoJiYm4Pf7oVarUSqVEI1Gkcvl4PP5qkIapS2FQkFUhigDvj/88MOiQsbj8eDuu+/GkSNHsH//ftx9991obm5GqVQSA11rtVoRTFXeXmX/ExMTiEajUKlUOHPmjPjysnnz5qrx7FQqFSwWC06fPo2vfOUruOuuu+DxeKDRaNDZ2Sm6Cu3fvx+JRAI1NTXw+/0iUA0EAli7di1qa2vFY6FWq+FyuWCz2TAxMSHCqHw+j3A4jFKpJH4sNzQ0nBP4WSwWEeYolX8vvvgivF4v3v/+94tuTJXP62QyiampKTFmkslkwoYNG9Dc3AzgbKAXj8fR19eHgYEBMZ5WPB5fcJa9VCqFaDQKjUYDn88Hp9MpZu1Tgt7JyUlMTExgcHAQjY2NuOuuuxCLxfDLX/4SFosFjz/+uPjBoVTf6PV6OJ1OJJNJnDx5Er29vbjllltEd8W5t015rS5UzaZMTJHJZFAoFDA8PIyRkRG43W6x32QyiYMHDyIUCsHr9SIcDqOvrw/r1q3Dtm3bUCqVcOLECYyPj8NgMMDlconxK9etW4fVq1cjFArB5XKJ9wW1Wg21Wi1C5rGxMRw+fBh2ux2rVq2ad2B6SZJEYF0ul1EoFDA5OYmpqSn09fVh9erV2LZtmwgtJEnCLbfcgvb2dvEDqlAoYGZmBolEAuvXrxfPfyW4VLbbv38/Dh06hG3btqGjo2PeAdSVoFsJnBR9fX2wWCyoqanBzMwMgsEgXn/9dfh8PtE1fnR0FEajEZs2bYLf78fAwACef/55bNu2Dbfddhu6urrE2IPKRBdKYKTVahGPx0VwcObMGUSjUdHNMRQKob29HevXr8err76K/v5+fOQjHxFB5nzBVj6fPyd0KpfLSCaT4rGLx+Po7+8HcPa9Yt++fXC5XKJLtbJfZTKHvr4+FAoFWCwWDA0NYWhoCNu2bRPj7B07dgyDg4Oi3d/97ndFpXVlmF0sFjEzM4NyuYza2lqYTCaEw2GcPn0aHR0daGhoEGN5KZNR9Pb24syZM2KMxJGREaxatQpHjx4VlWnRaBQzMzPQ6/Vwu93iMVSCvUKhgHQ6LQKkaDSKWCyG+vr6eSdoUe6fyclJEWD19/fj1ltvRXd3twhqstksRkdHsX79ehEkFwoFBINBHD58GGq1GjfddBN8Ph/cbjfe//73i6q7cDiMM2fO4KabblqwC6PdbkdPTw9OnTqFAwcOoL6+Hps2bTqnmkmr1aKxsVF09Qcw78ysymMQCoUwMzOD7u5uEW4kk0nMzs5ieHgYTz311DldNOPxuAiZPR7POfdZZSWhJEmQJAnT09NwuVxobGzEO++8I56X4XAY5XIZTqezKrDP5/PivhsbG4PP50N9fT00Gg0mJiZw/PhxfOITn0BdXV3Vda9fvx779u1DLpdDV1cX6urqRFisBNXAf7zvDAwMiHE35zKbzdi8eTOee+45DA4OIhAIIBaLQa1WY9WqVef8waDo7e3Fz3/+cwwPD+ORRx5BW1ubGB6h8g+XUCiEcrmM5ubmecdfVO4/pXtzuVzGvn37xH0PAKdPn0Z9fT1uuOEGUbUtyzLuueeeBSeI0Ol0uOeee2C32zExMYHh4WG8+OKLqKurE+1yOBxVf6jNzs7izJkzePTRRxEOhzE7O4tSqYTe3l5YrVZ88IMfrBqGIZ/PY3JyEmazGXV1dRgYGMDhw4dhNBrxwAMPnBOuKs+rU6dO4fDhw6ivr0dDQwMMBgPC4TB6e3vR3NyMrq4uZLNZTE5O4tixY3j44YfR1dW1YBdO5c9cpQdFpYmJCZw4cUIMlyFJErLZLHbt2gWNRoNCoYADBw7g05/+tHh89u3bB7vdjmQyiYmJCRw5cgQ6nQ47duxAa2uruJ9isRhOnjyJP/7jP4ZKdbZ6e2BgAPl8Hi+//DL+9E//FBaLBb/85S+hVqvx8MMPo62tDblcDmNjYyiVSli/fv05M5kXi8Wq5wqDwuXFaDTi5ptvxv79+3H06FG8/fbbcLvdOHbsGPbs2XNJPRCIiK4GvjutcBfqZqGcb7FY8NBDD+FnP/sZmpub8bGPfQyf/exnMTw8vGClw1Ixm83weDyiAqlQKCCZTCIcDsNgMKC5ubnqg1mSJEQiEfzmN7/B/v37sXXrVqxfvx5Go1F8OQPOVkocOHAAsVhM/NBQfvjZbDbRpVGpxMrn86KqLB6Pix9jynh4yuyTlROKABDdVbPZLBwOB2ZnZzEwMADg7JfYoaEhUQ3ldDrh8Xig0+lEBUcsFhOzah44cACvvfYaxsfHq65jdnZWdHfO5XI4efIkDhw4gOHhYRF2KgGP3W7Hhg0bsHr1arzxxhv467/+a3zrW98CANxwww1IJBKQZRn19fWYmprC2NgYmpubsWHDBmg0Gpw4cQKjo6MAIKoAtFqt6HJUKpVEZUAkEkE+n4fJZEIkEoFOp0NNTc05Y5ApoVixWMSZM2fw0ksvoVQq4cEHH0RbW9u8E+3MzMwgk8mgrq4O5XIZg4ODCIfD4nytVgu3242mpia0trZiy5YtuOWWW8750Vn5OCkVKl6vF36/X1R5ZTIZlMtlUUFoNpsxNjaG4eFhABAzwM6teFC6yCvPp+bmZni9XgwNDYmZWDUazXknbZhPPB7H9PQ09Ho91q9fj3Xr1sHlcuHkyZPo6+tDuVzG/v378c4776CxsRHbtm2DVqsVsw4rryOj0YhEIoHh4WHo9XoR9Gm1WqRSKaTTafH4KLdLqeTKZDI4ceIEwuEw3G73OVUmCkmSRJWWUu0nSZIIocbHx8UszzMzM5BlWTz/K6tclCrDysAbgNiuXC7j8OHDKJfLYtKKhf4s0Wq18Hq9IiyWZRl9fX3/v/buPDbO/L4P/3vu++LcHM7wvkRSFClKK2mllVaVfHXtjd11sc4aqZvCcIsmNZCicAO0aIACBYI0RR23+aNp0yZIkzZ1Ejuwd+Ej69317kqyLkrifQ/J4T0HZzj39ftDv+/XMyK1Xtu7OpbvFzDgiKKoOZ95nvfz+X4+0Gq1UKlUSCaTCAaDMhwvFovQarUyPEmlUtjb28PS0hKy2ays5rHb7fK2iYnr4v9RKpVYWVlBPp9Hc3MzfD4fYrEYdnZ24HK5ZPC5t7eHW7duwel0vudky0gkgkKhAIPBUHdQmc1msbm5ib29PRnozszMYGZmBpOTk7hz5w58Pt++vouiJ97W1hY6Ojpw5MgRWb0klqrOzs7itddeg8PhkIHYzs4OCoXCvuc+Go3KkKRarWJ5eRnXr1/H5OSkrKKsfY4XFhbwzW9+EyqVCoODgwgEAshms3LCtahgFc+R6NcplriKkFC8pguFAsrlMqanp+FyueDxePZVXaVSKYyOjuLq1atwu904c+YMhoeHsbm5iZs3byKZTMqfFUunDQYD0uk01tbWsLy8jImJCahUKly6dAkXL16U1UziedvY2MCNGzdQKBTwmc985qH9Q0U1nKioE2Hzg4+ryWTCV7/6VZw+fVqGPNevX5e9SWsr6eLxODY3N1GpVKDRaBCLxRAOhzE6OorXXnsNPT09uHDhgjxZIf7dwsIC7HY77Hb7gZWXGo1GPg5iaMja2hoCgQC8Xi9yuZz8nJ2dnUVjY6OsEhO/K5VKoVAowOPxIJlM4sqVKzAYDBgYGJArHmqX0QviM+Hdd9/F//gf/wN/+Id/iG9961tYWlqSVcjATyffApC9Cw96zE+cOAHg/pTbW7duAQDa29sfuv0Q24oXXngBL774ouxPJvqZiudLVE6bzWa5BLpWpVLBwsICdDqdXN0wOTmJv/7rv0Zzc7M8uTc6OipPgkUiEYTDYfT09OyrwK0l+iTr9Xo0Nzfj2LFjsFgsGBkZwSc+8QkcPXq0rppODNMQFYtiwu9f/dVfYXZ2Fv/iX/wLHD16tO5zan19Xa7SUCgUGB8fxw9+8AOMjY3VvZZqLS4uorOzE0qlEt/73vegUCjQ09OD5557Dtvb2/jxj3+MQqGA/v5+dHR0IJ/P486dO++5T3rt2jU5jbk2SNza2sL3v/993Lp1C4ODgxgYGEBjYyMmJyfl71tdXUWhUEBLS4sMl69duwaDwYDe3l4MDg6ip6cHsVgMs7OzSKVS2N3dlZOfr127hkqlgmq1ipWVFdk64dq1a/KkhlgxIN4PkUgEGxsb8Hg8+4ahiSrCD6N9CH0wFAoFzp49i+7uboyNjeGNN97A1NQUtre3cenSpcd984iIHoqVhPS+KBT3e3MNDAzg61//Or797W/jf/7P/4nr16/jy1/+Mj71qU/tq4h7XPR6PRwOh6zY293dRSqVQrFYhN1u37fzX6lUMDk5ie9973s4duwYyuUy1tfXkU6n6/pqieqHW7duYXNzE0ePHkUoFEJjYyOq1SqOHj2Kvb09jI2NybPbYmlw7c5oLBbD2tqarMaqDcBEpV2xWJTVi7FYTA6oiEaj2NvbQ1NTEzQaDZxOJzo7O+H1emG1WmXPLoPBAKVSidnZWfz4xz/G7u4ufu3Xfk3eDnHmf3BwEJcuXYJSqYTH45H98MrlsjyAEhU2bW1tuHz5sqwe0uv16OjogNvtlpU8wP1pkeLAtVQqydsM3K9U2dvbg0qlgs/nkwdJ8XgcdrtdLi1Mp9MyMKk9kKoles69/vrr2NrawuXLlzEwMADgfhj54MGqyWSCRqNBLpeTVWq1v1dUKKXTaWg0GgQCgfcM42KxmAxexFK6RCIhq/UEo9GI5eVl7O3tyebuKysrMpx6sCInnU7Lx8blcqG9vR3Ly8sYHx+H1+uFWq3eN2ThZ0kmk0in0wiFQjhy5IhcTh+LxRCNRrGzs4O33noLNptN9gjM5XIwmUyyqkulUskg2uVyoaWlBc3NzQgGg1AqlQiHwwf2LBWTl1OplJxkLKqEHiSqeRYWFmTvRPHz8/PzKJVKsiJtbW0NhUIBDodj33TyXC4nKx4fNlRELN23Wq3w+Xx14Vo+n0cymUQ8Hkc8HgcAGZSJJWQLCwvY3d1FIpGQQ0w+9alPYXt7G3q9HktLS8hkMnA4HDCbzfLkgMVikRWUtUtCb926JYNGUY0mXvtWq1UGaz6fD729vfLx29nZwc7OjgxcDjrYLhQKWFxclP0Ya0PTVCqF5eVlGI1GPPfcczh37pz8u62tLSgUCoRCITkcQ7h+/To2NjZkpWapVEKlUpHTrIvFIl5//XWoVCq0tLTIx8Dlcu2bqgv8NFQTS/zn5uYQiUSg1+vrtpGiguo73/kOlEol2tvbZZXT5cuXZfAvTjCI91gymcT/+3//Dx6PR07XFUOJtra2kMlkkE6nZUh/0JLF+fl5XL9+HWazGYFAQC7TNRqNiEQiSKVSshegCD9KpRLW19cRj8dhMBjQ2tqKY8eOyWro2qq+QqGAjY0NFItFdHR0IB6PI5lMwul07nu89vb2kMvlYDabsbS0hKmpKYyMjNRVPYvXmBjCIx7n0dFRPPfcc3KJsvi9ordqKBTCyMgIWltbUalU0NjYiJ2dHVy/fh3Hjh2rq8Db3t5GpVKB0+k8sBoMuF8ZbbFYsLa2Jt93NpsNRqNRtj8ol8vyxJDRaNzXh1Dsg+h0OmQyGTQ3N8slmTs7Ow/tl9zZ2YmvfOUrMvgeHR2VA3w+//nPy+XnhUIBd+/ehcPhkJXyBzly5AjcbrccAiKWwD+sIkihUGB4eFieSHK5XHC5XLK6VNzHcDiMRCIBj8cjTxLUqlQqciiReO+LKdZiyfrc3Bz0ej2sViuq1aoM5H/WsJ98Pi+3fxqNBpubmzCZTPD5fHLyeu1zkU6nMT4+jq6uLpw6dQpOp1NONhe9hB/8/J2ZmZGDrNRqNTo7O9HW1ib3p4xG477HXOwnrK6uorW1FU1NTbBYLNjd3UWhUIDL5UIwGITBYJDLfXt7ex96PwHg6tWr6OnpkVWV4ja+8847ePfdd9HX1ydXlmxsbMjlwZVKBVeuXJET14H7J1gmJyfxta99TbZFEcGg2IcSwf3Y2Bi6u7vrQumOjg78xV/8BQYHB2Uo3N/fD5VKJd+Xi4uLiMfjaG1t3VfdWi6XMT4+/oEN4KMPR2dnJ/r6+vD222/ju9/9LsLhMIaGhmT1LxHRk4iVhPRzUavVaG1txSuvvILf+73fQygUwh/8wR/gd37nd+R00MdNnN0WPW/W1tbkzumDgYE4MFtaWsLS0hJ8Ph/W1tawsrIih0eInWePx4PBwUEYjUZcuXIFf/VXf4Xbt28DuL/EeXBwEM8//zx2d3dlHx2tVivDHvH/xmIxbG9vw2Kx1PW6q+23I4KY9fV1RKNRDAwMoFgsyqVN4sBXp9PJ3n5KpRIGgwENDQ1wOp1wOBxobGyEQnG/gX5t3y1x0Nre3i4HL/T29qK7uxtGoxHpdBrxeFz28FtYWEChUMCLL76I3/iN38ALL7yAcDiMV199FSqVCh6PRzZyb25uhl6vx97eHnZ3d+uqZCqVilzyqNPpYLPZoNFoZG9FAAgEAtja2pK9yQ468CwUClhZWcE777yDpaUlnDx5EmfOnIFer0cikairEBQcDgc8Ho+s6hK97WqJZekA6iaKPkgs197Y2EAymZSvmXg8jmw2K/sxOhwOufRdpVLJsHdjYwPVahV+v7/uwKg2nBXhUEdHB2w2G2ZmZjA1NYVyufxzTY0tlUpIpVLI5/NyiZ1YLlYoFGA0GjEzM4PNzU0ZNlcqFezs7EClUsHpdMoBAoVCQQZfogqroaEBZrMZarX6wCVeYoiKQnF/MIBWq5WB7UE/u7CwgNXVVbmE2eVywW63y+W9YtKm6FfodDrrQq9qtSorlQwGAzwez4GPixg6oNPp6nptAT8dRnPlyhX89//+3/Gnf/qnmJyclNu3ra0tpFIpubRfnFSw2WxoaWmBx+ORr2G32w2Hw4FMJoNoNAqr1SqDJGFxcREbGxtQq9V1B9diiqZarUYikUClUoHb7ZaVmOJAt1wuw+FwPHQCbzgcxtLSklyeVxskJZNJRCIRWCwWNDY2yoowm80mB0p4vd66IDafz2NiYkJWdpnNZqRSKaRSKbnsPplM4s6dO3A6nTLUDofDchrvg+9pUSEqlpOfPn0a58+fx8jIyL5q60QigatXr8Lr9crHx2g0IhQKwel0QqvVysdZ9Kg1mUxIJBJyeAJwP8AXIdP29jbm5+fh9XpldWztbSwWi1haWsLKyooMT0RFqlgiW/saGhsbg9PpxODgoKxMEhN7a0+siCWNooKvvb0dZ86cQUdHB/70T/9ULpWtlclksLq6CrVajRMnTsDv98sBJqIi6SDxeBxXr16F3+/H5cuX5ckmcT/FsIlgMCgr3SwWCwKBAM6fP4/x8XHcvXtXDnrJZDKYm5uTwe/DBoxoNBro9Xr5eZJIJOB2u6HX62GxWFAoFJDL5eTjb7FY9oVkVqsVbrdbtqTo7e2FzWZDuVzGnTt30NTUVHfiQWyL1Wo1PB4PRkZG8JnPfAZf/OIX0dzcjNXV1brHVYSEwWDwPQfVGI1GGAwGNDY2IhQKycD7vQQCAaTTaSQSCYRCITmAovb3h8NhZLNZNDY27qtgrVQq2NzcxPz8PD7+8Y/DZDIhnU7jjTfekANHlEollpeX5f6G6CMp7v9BoadYbSF64wkzMzOw2+1yaMmDj0M6ncbU1BT6+vrkSRqn04n+/n788Ic/3NfjU/zOSqWCrq4utLW1obe3FyMjI8hkMnj33XfrTqwJra2tUKvVGB8fx+DgoAzLl5eXodPp0NLSIj8LxQnVrq6uhwa8uVwO9+7dQ39/f93S62KxiMnJSWxvb8PlcmFzcxPLy8vIZDJ49tlnoVarUa1W8c477+D06dPy9y8tLUGpVNZNP19aWpKf7eIEVDwex+3bt2WLBYVCIe/bD37wA1y4cEF+HorHSGzzVlZWUCwWD1whUalUsLi4iKamJi4zfoLpdDoMDw+jq6sLS0tLiEajeP755z+UCd5ERB8UhoT0C3G73bhw4QL+1b/6V3j55ZcxNzeHf//v/z2+8Y1vYHJy8n1P5fww1FYcrK+vY3V1ta5qpJbYkY7H43A6nTh37hxaW1tlYCZ2vpPJJJLJJPr7+/HFL34RL7zwAux2O1ZXV7GzswOlUgmTyYSuri6cPHkS7e3tspG93++X4aQ4oNzd3YXb7a47+C0WizJAFDuS4uCzpaUFu7u7sqrEYDCgWq3K+6pSqRCNRjE1NYXV1VVUq1UZzokqmnw+L6tw1tfXkcvl5I6nCIOamprkEhbRN1GEbgaDAV1dXejv78cLL7yAZ599Ftvb23JgiVgW6vF4ZPCXSCTkwUa1WpVLbYD7/epEZefq6ioymQxMJhP0er1sTh8MBvdVQJRKJWxsbOD69euYmZlBZ2cnnnvuOdjtdrlUdX19fd/rQqvVyh6RmUwGdrt9X6/BUqkkl4s/LFwC7h+AikBjeHgYR48exeDgII4cOQKbzYZsNit7BZVKJVkp0dTUhEKhgJ2dHej1ethsNtnQXARptUsqdTod/H4/AoEANjY2MDExgUql8tB+SwfJ5XJy2bAI88RyXDH5d319XVapiWE1mUwGBoNBPifigLJcLu8LWEXfPovFUtczC4DsV+fxeGC32+Xz+WDlj6gkunnzJvR6PS5evCgPmMvlMtbW1uRBl2gRIIYLiQBSPIdiMJBYNnoQg8EgXzPZbLZuiZrBYJBBkFj2Lw4ExYGZ0WjExz72Mdjtdrz77ruYm5tDKpWqq6AVFVaiKnhvb08GfEK1WsXo6Cji8fi+7ZNer4dOp8Pe3h6SyaR8DsVQmXK5LEMwEU6LKtxoNCqHH73zzjuoVqvo6+uTwx3EY767uysPjmvDy2q1iunpaZjNZhky1C5LTSQS8jWs1WrlYy6qsNbX17G3twen0ykDxqmpKbhcLtlmQLwGxDZJVC0Gg0H4/X50dnbKqp9a29vbSKfT8Hg88neL9gg2mw02m61uIIQI3cVruFgsyvea0+lEMpnExMSErD48qIpwb28P0WgUAORQKvH4ra+vy1BAvAZnZ2cRCARkFabT6ZTbu9pQqVwuIxKJ4Pvf/76s6HS5XAiFQlhdXcX09HTdoApRJZvJZNDQ0IDh4WH09fUhmUxifHwcqVRq32tdVGfOzs7K5W+tra1QqVRyebdon1AoFNDU1FTXk1alUsnXcDKZlJ/vYuhEJpPB9va2XFqfSCSwvb0tK7bFCS0x5MNiscjXsXj/Li8vo1KpHFiFBkCGKLu7uyiVSggEAtDpdCiVSrh69SoGBgag0Wjk9vTOnTvyc0S8p91uNzo6OtDc3FxXQSkGHc3MzKC7u3tfZXItMSQjGAzKHnk/K6BJJpNYXl6G3W6XLQlqQ7lyuYzV1VVZXV57AkVUGv/gBz9AIBDA5cuXZfuKvb09+P1++Xqdnp6G0WiE2+2GwWCA2WyGXq+vmzL8oIWFBeRyubq/n5qakicjxBAx8ZxXKhUkk0msrq6it7dXPlei/YfYD6hVKBQwPz8Pp9OJ3t5eWK1WWCwWdHR0oK2tDW+++WbdlG3BbDbLbY2o1FMoFHKps2j5Ik7AaLVaBINBpNNpWVk4NjYmtzULCwtIpVKyWl48b8lkUvZPPn36NNrb29HT04OBgQG5QqZYLOL69es4efKkfLxu3LiBjo4OWfkpBp+Jz49SqSR7t+bzeQwMDMgTFOKkxcLCQl0l4dbWVl2lfTKZhEajkSd8a18z4mSz2J4zKHxyHT9+HAMDA1Cr1QgEAhgZGXncN4mI6D0xJKRfmFarxbFjx/DFL34R//Sf/lO0tbXh7/7u7/C7v/u7+Mu//EtsbGw8ttum1+vlMjJRNfaw4RNiOa3L5UIgEIDb7YbX65XLXsvlMlZWVnD9+nXk83n09fXh2WefxcDAABoaGmRAsbW1hUgkIqu1isUiSqUShoeHZT+fbDYrK6BE1Q7w02BjcXER29vbMJlMyOfzyOVysnIhFoshFovJxvQiiLJYLNBoNNja2sK9e/fkssxyuSx/RlQbApATVkUfInE2U/TuEgMmSqUS9Ho98vm8XOoo+l75/X4cPXoUfr8f1WoVyWRSLhUzm81yomm5XEYoFILH40GxWJQVKKKnkti5XlxclNVQonk+ADnBWBAVcKOjoxgfH4fL5cLZs2dlcCR67z2solUEUWLgzEGVhPF4XC6/Pkg6nZaBRnNzM0KhEAKBgFx+azKZ5IGzOMArlUpykqWYhmy1WpHJZGQQLPp11S6vFEFqR0cHlEqlDPYeRgSxD35PrVbLsE80ot/b20NLSwsaGxvl60i8HsPhsAwhxEGwWLIspr7WBpXiuWxqapIHkcD9SiOFQoFAIAC/34/m5mYYjUZ5oF37vCQSCczOziIWi+HEiRMYGRmRr1mxHFE8htFoFKlUSk4RjsVi8veJybO5XO7Anp+CRqPBkSNH5PI6MbwCgKyIEkvJe3p6ZAVjtVrF/Pw8bDYbRkZG0NLSgmg0KisKY7GYDKJE/7BMJiP7kDY0NOwLvqenp5FOp+vCKVENGYvFZPhiMBhgMBhk5ZlYnt/e3i5DrM3NTYTDYczOziIcDuPOnTtYXl7GsWPHMDQ0VDfRM5/PIxqNIpvNIhAI7AsJFxcX4fV69w3PENOEzWYzdDodisUiNjY2EIvF5Os/kUjAZDLJqrBUKoWZmRlYrVYZeorHO51OIxqNypMq4sSHyWSSoVEtcXJE/JxCoUCxWMTu7q4c1CG232JCay6Xg0ajgdvtrpuiKob0RCIRuN3uhw53EGGaTqeTy4QLhQKmp6dhtVpl8ADcD7J2dnbQ3Nx84ATVWiLwHh0dRTQalUFJPp+XJ3pEBVE+n5c9F81mMxoaGuDz+WSwJXp+1m4DqtUq8vk85ufnEYvF0NHRgWAwiL29PbktFNW3Ynl5Y2OjDClEq4A7d+7Ifnni8RMnA9bW1jA/P4+xsTFsbW3JzxAxzKJ2cEk6na57D4jlpysrK3C73fsmaNdKpVLyhJ54XWWzWUxPT6Ovr09Wv1erVdy+fRuLi4t1AZh4rE0mkxw0AkAO34rH4wdObq61sLCAfD4vT3q8VzWQWPJ769YtJJNJGI1G5PN53L59W1beAz8NoI1GIwKBQF1VWTabxfz8PO7du4cXX3xRhrviBJzJZJJ/np2dhcFgkEu/m5qa4Pf7ZZWi+P9Ez7vafYra7fnCwgKcTicaGhqwvb0tBwoBkH0/8/k8uru7696bs7Ozdc+LmM4t+o36/X6EQiF5Iszr9WJkZATT09OYn58/sJfgzMyM3I6L7fLMzIys5lQqlfL929XVBY1GI6vv3n33XXz7299GsVhEuVzGG2+8gba2trrHGIAMskV7ArEP6HA4kEgk6iouOzs7EQ6HZR9fsWQfgNxv8vl88mRrLBbDwsKCXCYuTuIC90+2aLVauX+YTCbrTu6KfuBWq/XA/aCZmRmGTU+JxsZGfOlLX8If/MEf4Ctf+cq+1QRERE8a9iSkX5rP58MLL7yArq4uvP7663jrrbfwJ3/yJ7h37x4+/vGP48SJEz/3oIVfljiLLnqYHXRgDtw/SNTr9fD5fFhaWpJBV6lUQjKZlGf2xTJLcalWq7Lxtei/tbKygjt37kCr1cLtdsvJpmfPnpW98JaXl7GwsCAPnMQU193dXSwtLWF9fR0dHR0ynBOVAOJsejabhd1uRywWQ7FYRD6fh9frhV6vh8FgkAe4sVgMlUoFKysrACAHsYjlYaJ3kVKplH3ARDg3NzcnK3rEQb7JZJJBh6gqA+4vB/L5fPJAQgQY4vaKiaR6vR7r6+uYm5uTAV21WoXVaq27ryKAWVhYkP18HuzDdffuXVy5cgW5XA4jIyOw2WyyomV8fBxbW1t47rnnDnxdpNNp7O3tyR3z2j50Yrl3LpeTFVK1xLLdsbExeUCi1+vlksFisYhCoYBsNiuXL4oDOHEgLCZdiwA2kUjAYDAgmUxifn4eGxsbsmJAVIqKA1qxpOig0EsMBtna2kI8HpdDB8TyLBGSi+oKMR10ZGREVoo5nU7kcjkkk0mMjo7Khuvi4CQWi8kKzAdvg0KhkEvuxURutVqN1dVV2Gw2WW3R19eHzc1NZDIZrK+vy35NuVxOTp7u6+vD8ePH65Z7i7BUoVDIYSDFYlFWkYjnVFQcigmWWq0W2WwWCoXiwHB1ZGQEkUhEThIXwZ54nBKJBBwOh6xaAu4fYK+vr8uJv6lUClarFfl8HrFYTFb7mc1mGdQvLS1hfn5e9kt9UCwWk+/h2u/dvHkTdrtdDkMRAXw8Hsfe3p48gHz22Wfxwx/+EJFIBFqtFmq1GtFoFCsrK4jFYmhvb8fw8LCsUhLL/kW4k06n5RJw0ZczkUhgfn5eDuQpl8tyCaaYmK7VapFOp+X06lKpBJVKhWw2C71eD6/XK9skiOnaYmqz0+mUr9uZmRm55FncPgAPDWC8Xi8aGxtl70iVSiUrwh0OB/r7+zE7O4tEIoGNjQ2oVCpsb28jFAqhp6enrlLM4/FgfHxcntw5qIoNuF/54/V6sbGxgUwmg3g8jlQqhdXVVTz77LPo6uqCUqnE7u4u7ty5g93dXZhMpn3bsAepVCo4HA55wkacpJicnERTU5OcmCxeo/Pz8wiFQnIptRjAYrVaMTs7i/HxcTgcDrlUVPQt+/GPfwyr1QqVSoXd3V2Ew2EcOXIEZrMZ6XRahsqi5YEYApLP5+Vn29mzZ9HX1yc/S0VvwlKphGw2K/sTivslgg6NRiOHbInlxCqVCtVqFTabDQ6HQ35OP+zxB+4vM6+tKhMrAYD77SSi0ajcfm5tbcnly4VCQQbJKysrsNlssrWGmJp8+/Zt2Y9SvM+Bn1ZnFYtFpNNp3Lp1S1aJi8r4hw0sKZVKchmrGMpVqVQQjUZlxWM6ncbExATW1tZkoByPx+XtFSsEhoeHcf78ebmNcDgc8Pv9cgn32NgYtre3ZUW3UqlER0cHhoeH5X6HeP+L18Xq6ioaGxvR0NBQt5S1UCjIz79sNiunYOdyOUQiERn2P1hxK1paiCBRPM/37t1DNBqVA2HEvzGZTGhubkYqlcLrr7+OpqYmGfwJY2NjOHLkiKxsLRaL2NnZQXd3N/x+vzwBkUwm0dzcLFdNVCoVhMNhGXLv7e1hYmICn/zkJ/f1+DSbzWhsbJQtUmpPsm5tbckl8eJkydraGrq7uzEzM4OLFy/K9+H29rZs91Ibyu7u7qKnp0dW1gpiKbjoYbiysiL7bAqdnZ2y7+zW1pas2FxdXYVCoUBHR0fd65SeTFqtFqdPn8bp06cf900hInpfGBLSB0KtVuPIkSNoampCX18fXn31Vdy4cQNzc3O4ePEiTp8+LQ92HgWz2SzPcre3t+9r+CyIcKO3txepVArhcFiGiwBk6NbQ0ICWlhYAkJVqdrtd9uPK5XKy4mp5eVkOSxkcHER3dzeq1ao80y+mLIvm/KKyb319HQ0NDfIgR1QIJZNJWWnX1tYmpzDq9XpZSaDVauHz+TAwMIB4PC4Dj2g0ipaWFgwNDcnwcHJyEnt7e/B4PIhEIjLkEqFAJpOR0wzVajWcTifa2tqwsrIi+8KJEEssyR4fH0c+n0cwGMTOzg7S6TTsdjuampoQDAblkBERovp8PrjdbnmwJkLXeDyOe/fuYXd3Fzabra66C7h/5n1ubg6xWExWCy0sLMjHcGxsDK2trQ+dCLqzs1PXj7D2YERMWa5Wq3A4HPumxBaLRSwvL+PKlSuy6XhtE3JxACvCxo2NDfh8PlgsFrS1tWFrawvhcBjFYlEu+VQoFLBarYhGo7h3756cvCoa0atUKvl4HTt2DAqF4sBeiYVCAZubm1hZWUE2m5Xhhd1uh9vthsfjkVOdI5EIAGBoaEg2Uu/t7cXu7i7i8bgM2SqVipwwKu6/yWSC3W4/8Cy4SqXC8PAwVCoVdnZ2oNVqsbKygq6uLgwMDMgeUs888wzC4TA2Nzdl0CfC1cbGRrS3t+8bzGI2m9HZ2YlsNisnTIohImLJsQjFZ2dnEYlEZDAfiURk77UHNTc34+zZs5ifn8fKygpSqZQMdiuVClpaWmRz/FoGgwFNTU1y+XR7e7sMRfR6Pcxmsxzosru7K6sBRc+8B4mqpNolcCJAE8u7Q6GQnJgtKnaNRiM0Gg0GBweRzWaRyWTkwJ+NjQ1ZyXv06FFYLBaUy2V5kJpMJmUfO61Wi1KpJLdjW1tbmJ6eltOQxTAesf0WlXNiWXOhUIDVapX9SA0GA2w2m+ylury8jGKxiP7+fmg0GqjVami1WtkeYGJiAplMBlarFel0GqlUChqN5qEndux2O5599lkZ2IrASfR07O3thUKhQDwex/LyMsrlMvL5PM6ePSurjcTvEpNhBwYG6nrEPshgMKCzs1Mu3w+Hw8jlcggEAujq6oLT6USpVMLq6irGxsZksCDaPDyMmPR+/vx5ZDIZLCwsoFqtIhqN4pOf/CT6+vpk2HT16lWk02nZ004EdGq1Wi71n5qakid4DAYDCoUCrl+/jtHRUTgcDszMzAC4v2RbvEZ3dnYwMTGBVCoFi8Ui+yOKqmAxQfXkyZMymAEggz3g/hTWSCQiA0vxPCsUCmi1WjQ3N+O5555DR0dH3fPqcDjklOj3msAr3hMmkwmBQEAGvTqdDkePHpVLlUUIFQqFYDabsbm5KdsAiLCwo6MDoVBIBtYLCwuYn5+H2+1GMpms+zwXstkslpeX5ZJwMYRLBGwHESeOuru78e677+Ldd9+FzWbDM888I9+P6+vrGBsbk9W54oRXpVJBLpeTfU37+/vr/q+mpiacOnUK8Xgcq6urGB8fh1arrav+9vl8ePbZZ6HX67G4uIjd3V0YDAa50kKv16OlpWVfL8ljx47BarXKlgLiORbhcj6fR39/v6yCF2H+0NCQPFFVLpeh1+tlmwzxeScqPQHIz/aGhgZMT09jbm5OThUXcrkcTpw4IbeN+XxeVqWLJesmk0nuDySTSbkMubu7W25jFhcX0dvbi8uXL++rFjYajTh+/DjC4TAikQisVitKpZKsWFYqlTAajThz5gy2trZkH0qLxSJPggL3t4stLS3yvrpcLmQyGdmnNplMorGxUf6/LpcLp06dksNeSqWS/FwTt+/IkSPI5/PY3t7G1NSUfGxUKhW6u7t/5kkIIiKiXwRDQvpAWa1WXLhwAb29vfjRj36E73znO/iLv/gL3Lp1C5/4xCdw9OhRtLa2/sxG378sh8OB8+fPw2g0PrRpt6BUKtHa2ion04nqB6vVKgeOiEbg4oDParXCZrPJnWetVouOjg7ZULxarSIUCqG9vV1O3hMVXSdOnIBarYbf74dGo4FGo4HFYpEhSiAQkAdW3d3dcumJ3+9HQ0MDtra25ARDl8tVt2xLLKNJJBJy2Z2YRFsqleQy2kuXLskgTAw+EAcYTU1NMvwD7u9At7e3w2g0Ynt7G2q1GkqlEk6nU4YnW1tbUCqV6OvrkwcfwWBQTsbd3d2VZ+tFb0CVSgW73Y7Tp09DqVTKqjy73Y5z587BYrHsq0DVaDRobW2FzWaTIaOo6jAajeju7pYB50HEAaNYFgxAVoNks1lEo1HZm+9Bou9SU1MT1Gp13QRKUWHV2NiIc+fOyUpFcXBx7NgxrK2tyX9vNBplUOtyueRwCIPBsG8pL3A/JBOvm4OGU4iea16vF+fOnYNOp5P9NFUqFdxut+xLJpZYiqWVwP0DzqGhIbm0SlSE1C73drlcMkg5qJpRDNQRfdqUSmVdQKlSqaDRaGSz+1gsBoVCAbVaLXvD+Xy+fc+dqPYdGRmR4aMY/JDNZuH1euFyuWSIJcKp7u5uNDU1Hdh4X1Cr1RgeHobT6cTm5qYMmsTgi66uLgCoO2hVKpV45plnZNWT3W7H8ePHkU6n5cAgUYEsTk6sr6/LFgMPVhIqFAo8//zzsvpZaGhowMjIiKzqaWlpkdsni8UCl8slX8MWiwVnzpyR7QpExaHdbsfw8DCsVitisZgc1CKqaKxWq3ysmpub5eMklrx94hOfgNvtrgsvxeN29OhRWTlmNpsxNDSE9vZ26HQ6uRz0zJkzsnek1+vFiy++iHK5DI/HI98fYpt04cIFWCyWfVVND3PhwgU57EXc3oaGBjnZvbu7W04tLpfLcjtY+9pVKBTo7++X9/+9XisAZAWbeH2LKl/xXisUClCpVAiFQvjc5z4nA5ifxWAwoKOjA8vLy0in0wDuTznt7e2Fy+VCMpmEWq2G2+1Gc3OzrHgULBYLRkZGEAgEZI/I2ufS7Xbj2LFjdWGl1+uV1aBi+NS5c+dgMpnka1sEPYFAAEeOHJFDYg4iqn0vX74Mg8FQt33U6XTo7OxEQ0NDXcgoQpjPf/7zcgLvez3+TqcTQ0NDclsp/s9PfepTciqxCGwuXLgAk8kkq7TEZ7CYUi4qj0W19uDgIDo7Ow8cqiPun3jdd3V11VUXP4xSqURvb6/c1r777rvweDw4evSoDIXEZ/ulS5dgt9vl8nrxuWSxWDA4OLivX6nZbMYLL7yAvb09aDQaGY7VLm8X+yUNDQ2YmpoCALm9NRgMCAaDB77mP/WpT8nwT/RQFRWTdrsdJ0+elBXFtc6dOyeH3ajVatjtduzt7SEYDOKFF16A3++ve8xEkPbSSy9Bo9HsG+YCQLZ0ENsghUKBixcvwuPxyNei1+vFqVOnZFW36AF96tQpuY0ymUz4lV/5FXi93gPv89GjR+H1emX/XgCy/YHYd/vsZz8LnU4nH7eXXnoJoVBIVr+2tLRAqVSiVCrBbrfD5XIhm83i7Nmz8iRbbdBrtVrx8ssvQ6/XQ61Ww+fz7Tsx4vF4MDw8LMNZ8fkUCAQe+lolIiL6ZSmq73WKm+iXIBqhf+c738E3v/lNxONxXLhwAZ/73Odk5QV3cJ5uogfeH//xH2NychK//du/LZfyPAlEr61KpQKdTofvfve7GB0dxdmzZ3Hy5EnYbDZkMhm5XGliYgLz8/M4f/48jh8//rhv/odOTPcWVSxarRabm5v4wz/8Q/h8PnzhC184cHksPZzoh1YoFORB49WrVzE7O4tz587h5MmTj+R2fOtb30I2m8Xx48fltFERUr5XX0sievr89m//NoxGI1588UX09PQcWIVL9FFhsVjw+7//+/jCF76wr7c0fXBKpRL+8i//Eq+88oocrkdEhwMrCelDo1KpEAgE8E/+yT/Bxz72MfzxH/8xvvWtb+Htt9/GK6+8gsuXL8uJkPzgefqIPkWJRALRaFQuD3ySnstyuYypqSmkUim0trYiFovBarXK4QjA/d5vYqldNputW1r+UVetVhGJRLC0tIRgMIhQKISpqSloNBq0tbXxQPMXUC6XsbCwgEwmI1sRxGIxtLW17Vu2/GFSKpUYGxuT024HBwfl8mQi+mgQS+nn5+dx9uxZ2Gy291w5QfS0qZ3svre3V7dknYiIPhwMCelDp1ar0drait/5nd/Br/7qr+I//af/hN/93d/F//k//wf/+B//Y1y6dAkul0v2fqGnRz6fx/T0NFZXV2G1WhGPx2E2m5+Yg5RKpYKxsTEsLCwglUrJ5aWigTtwf5jJwsICkskkWltb0draemDfuI+iSqWC5eVlvPHGGxgYGJA9C8Wy7Z+1nI72q1arcmmw6BHocDgwMDAAv9//yG6Hx+PB4uIiRkdH8dxzz8FoND6ynrBE9GikUinMzs7K3qDi5B3R00q8hvP5PHK5nOzNOTMzg1u3bmFsbAz5fP5x30wioo80HjHQI6NSqdDb24v/9t/+G27fvo3f//3fx9e+9jV0dnbiy1/+Mj72sY/B6XTW9cyiJ5sYduD3++UU1kql8sSEhFqtFkNDQ7DZbNDr9RgYGEBXV1ddLyWfz4dnnnkG0WgUbrf70FQRAvd7QgWDQTzzzDPQ6XTY2NhAa2sr2tvb4XK5npjn8Wmi0Wjg8/lkk363242mpqZHHjx3dHTg+eefx/r6Op5//nk5NZ2IPjrEsJuhoSE5wZ7oaVKtVlEul1EqlVAsFlEsFrG7u4t79+7h1q1buHXrFu7cuYNkMin77BIR0YeLPQnpsbp16xb+43/8j3jttdcQDAbxhS98AZ/97GfR3NwMrVbLsJCIiIiI6CNA9LIWA4Xy+TzC4TBu3ryJmzdv4tatW5iampLTnk+ePIkzZ87g1KlTOHbsGFQqFaxWK3sSPgLsSUh0eLGSkB6r4eFh/Pmf/znu3LmDP/qjP8I3vvEN/Of//J/xyU9+Er/2a7+GEydO1E21IyIiIiKiJ59YPlzbx/r27du4du0afvKTn2B0dBQbGxswmUzo6urCqVOn8Ju/+Zs4efIk2tvbue9PRPQYMCSkJ8Lg4CD+y3/5L/g3/+bf4Jvf/Cb+5E/+BL/yK7+C3t5evPzyy/j0pz+N9vZ2+fPcaSAiIiIievwetjBtZWUFb7/9Nq5cuYJ33nkHExMTKBaLCIVCOH78OH7zN38Tp06dQn9/PxwOxyO+1UREdBAuN6YnSu0Us7fffht/9md/hu9///vIZDI4deoUXnnlFXzmM5+B3W5/vDeUiIiIiIhQrVZRLBYxOTmJK1eu4O2338bbb7+NcDgMjUaDoaEhnD59GqdPn8apU6fg9/vlADnh/RYAWCwWLjd+BLjcmOjwYiUhPVHEB5Ber8elS5dw8eJFbG5u4vXXX8f//b//F7/xG7+Bf/kv/yVeeOEFfP7zn8elS5eg1Wof860mIiIiIjocCoUCIpEIbt++jevXr+PmzZu4ffs24vE4zGYzTp48iS996Us4d+4cRkZGYDKZoFQqAfx0X5+hExHRk4khIT2RxI6DSqWC3+/Hyy+/jM9+9rNYW1vDt7/9bfz1X/81XnrpJTQ0NOAzn/kMXnrpJZw7dw5qtZo7HUREREREH5Dl5WU5cfjmzZsYGxvD+vo6NBoNQqEQhoaG8Pf//t/HiRMn0N/fL4cPqlSqfeEgERE92RgS0hNPoVBArVZDpVKhra0N//yf/3P8+q//OpaXl/Hqq6/ie9/7Hv78z/8cLpcLFy9exD/4B/8AZ8+ehdFo5A4JEREREdH7UK1WkU6nMT4+jnv37uHGjRu4du0aIpEISqUSfD4fent78au/+qsYGBhAf38/fD4f1Go11Go1NBoNVCoV97+JiJ5iDAnpqaFQKKBSqWAwGKDX62G1WtHa2oovfelLWFhYwOuvv47vf//7ePXVV+H3+3Hu3DlcunQJJ0+ehNPp5A4LEREREdH/r1wuY3Nzs65CcHR0FOl0GlarFW1tbbh48SIGBgbQ19cHt9sNg8EAnU4HrVYLnU4HlUr1uO8GERF9gBgS0lNJVBfabDbYbDa4XC50d3fj5Zdfxvj4ON5++2385Cc/wauvvgqfz4dnnnkGFy5cwPDwMLxe7+O++UREREREj0yhUMDm5iYmJycxPj6OiYkJTE1NIRaLoVwuIxgMoqOjA//sn/0z9PX1obGxEUajEUajESaTCQaDgW19iIgOAYaE9JGg1WrhdrvhdrsRCAQwPDyMra0tTE1N4fbt2xgdHcWPfvQjOBwO9PX14dSpUzh58iRaWloe900nIiIiIvrAVKtVbG5uYm5uDtPT05iensb8/DzW19eRz+dhsVjQ2NiIU6dOob29HR0dHXA4HLBarbDZbLBardDpdAwEiYgOIYaE9JFjMplgMpnQ3NyM7u5unDp1CpFIBPPz85iYmMDCwgJu3ryJ//W//he6urowMjKCEydOoLOzUzZXJiIiIiJ6Guzt7WFhYQGzs7OYn5/H3Nwc1tfXkUwmodFoYLfb4Xa7MTQ0hFAoBJ/Ph4aGBjgcDjQ0NMBms3EfmIiIADAkpI84q9UKq9WKjo4OjIyMYG1tDeFwGIuLi5ibm8PS0hL+9//+3/ibv/kbtLe3o6+vD0NDQzhy5AgbLxMRERHRE6NaraJYLCISiWBxcRHLy8tYWVnB8vIyNjc3kc1modVqYTQa0dLSglAohMbGRng8HnlxOBzQ6/WP+64QEdETiiEhHQoKhQJmsxldXV3o6uqSfVmmpqbkZWJiAqOjo3jttdcwMDCA3t5e9PT0oKWlBQaDgYEhERERET0SlUoF6XQaW1tbWF9fl5fNzU1sbm4iFotBoVBAqVRCp9Ohu7sbPp8PPp8PgUAAgUAAfr8fRqORVYJERPS+MSSkQ0mr1SIYDCIYDOLv/b2/h/X1ddy9exd37tzB5OQk3nzzTfzkJz+B1+tFV1cX2traEAqFEAqF4HA4oNFoHvddICIiIqKPgGq1ilQqhZ2dHWxvb8vLxsYG1tfXEY1GkcvlkM/noVAo4HK50NPTg2AwiObmZoRCIQSDQVitVp7UJiKiXwpDQjr0lEqlPOP6iU98AltbW/jJT36C69evY3x8HH/7t38Li8UCr9eL7u5utLe3o6mpCT6fD263GyaT6XHfBSIiIiJ6ClSrVezt7SEej9ddIpEIwuEwdnZ2kEgkkEwmUa1WYbPZ4PP5cPToUbS0tKC1tRWtra1wu92P+64QEdFHEENCohoKhQJerxef/vSn8elPfxqxWAy3bt3CjRs3cPv2bXz729+GUqmE3+9Hd3c3+vr60NraCpfLBafTycbPRERERIRqtYpKpYJsNotUKoVUKoVkMolUKoXl5WU5XGRrawsbGxsAAIvFgmAwiOHhYXR0dKC9vR2tra1wOp3cvyQiokeCISHRe2hoaMClS5dw6dIlFAoFzMzM4Nq1a7h27Rpef/11/M3f/A0aGhowMDCA4eFhHDt2TE6Js1qtUKvVXPZBRERE9BFWrVZRKpWQy+WQzWaRzWaRyWSQTCYRDocxOzuL5eVlhMNhLC8vo1KpwGw2o62tDYODg/iH//AfoqenB52dnbBYLAwEiYjosWFISPQ+abVa9Pf3o7+/H7/+67+OaDSK27dv46233sKVK1fw3e9+FxqNBkNDQzh58iTOnj2LpqYmGI1GGAwG6PV6KBQKhoZERERETykxYbhQKCCfz8uvm5ubmJubw+zsLBYWFrCwsIBIJIJSqQSLxYKOjg4cO3YMr7zyCvr6+tDb2yv3DYmIiJ4UDAmJfgGiafTly5dx+fJlFAoFhMNh/N3f/R1++MMf4utf/zr+w3/4D+js7MTZs2dx5swZnDx5EmazGTqdDlqtllWGRERERE+oarUKACiXyyiVSigWiyiVSsjn81haWsLExAQmJycxPT2N6elpxGIxAIDH40F3dzcuXLiA/v5+9PX1obOzE3q9/nHeHSIioveFISHRB0Cr1aKzsxOdnZ34yle+gmw2i2vXruFHP/oR3njjDfzRH/0R1Go1BgYGcP78eVy6dAlHjhyB2WyGSqWCSqWCUqlkaEhERET0iFWrVdlDsPaSy+UwNzeH0dFR3LlzB3fv3sXExASy2Sw0Gg2am5vR39+PL33pSxgYGEB/fz8aGxuh1Wof910iIiL6hTAkJPqAKRQKGI1GPP/883j++ecBAEtLS3jzzTfx5ptv4s/+7M/we7/3e3A4HBgaGsLZs2dx/vx5DA4OwmAw1C1JZmhIRERE9MERgWDt9Xw+j/X1dUxMTODu3bu4d+8epqenMTMzg0KhAJ1Oh/b2dgwPD+Oll17CsWPHMDg4CKvVyv6BRET0kcKQkOgRaGlpQUtLC/7RP/pHKBQKuHv3Lt588028/vrr+PrXv45/9+/+Hfx+P06fPo3z58/j7Nmz6Ovrq9vxZGBIRERE9LOJEPAga2trmJiYwL179zA2NoaxsTHMzc0hHo9Dp9OhsbERAwMD+PSnP42jR4/i6NGj6OzsZF9pIiI6FBgSEj1iGo0Gx48fx/Hjx/Fbv/VbSCaTGBsbw5tvvom33noL//bf/lskEgm43W6cO3cOFy9exMWLF9HV1cWdUyIiIqL3IZvNYmJiAnfu3JFh4N27dxGNRlGpVODz+dDT04PTp0/jy1/+Mvr7+9HV1YWGhoYDfx/3wYiI6DBgSEj0iD24k2m1WnHmzBmcPn0aX/va15DJZDA2Noa33noLb775Jv71v/7X2NvbQzAYxPPPP48LFy7g/PnzaGpqglrNtzAREREdTtVqFdlsFouLi5iYmMDExATGx8cxNjaG+fl5lEolGAwG9Pb2or+/Hx/72Mdw9OhR9PX1weVyQaPR7GvxwjCQiIgOMyYMRI9Z7U5ptVqF2WzGyZMnMTIygq9+9avI5/O4ceMG3nrrLbz99tv46le/ikKhgPb2dpw+fRqnT5/GyZMn0draCqPR+JjvDREREdEHL51OY2lpCVNTU5icnMTU1BSmpqawtLSEdDoNtVqNYDCI3t5efPazn8WRI0cwMDCA1tZWqNVqKJXKugvAQJCIiOhBDAmJniBiZ1VMPFar1dDpdHjuuedw+vRp/NZv/RZSqRRu3LiBa9eu4caNG3j11VeRyWTg9XrR39+PEydO4MSJExgYGIDL5XrM94iIiIjo/alWqyiXy1hYWMD09HRdGBgOh5HJZKDRaODz+dDe3o4LFy6gs7MT3d3daGtrg8ViqduHEuEgwECQiIjo/WBISPQEEzu0Go0GGo0GAGCxWPDxj38c58+fRy6XQyqVwszMDMbGxjA5OYlvfvOb+MY3vgGdTodgMIjh4WGcOnUKQ0ND6OjoeJx3h4iIiAjVahW5XA5ra2uYm5vD/Pw85ubmMDc3h9nZWaRSKZTLZbhcLjQ1NWF4eBif+9zn0Nraivb2djidTmi1Wmg0GvlVo9Fw0jAREdEviSEh0VNGqVTCYDDAYDAAALxeL5qamnDq1ClkMhkkk0lEIhGMj49jcnISN2/exN/+7d9CrVYjFArh+PHjGBoawuDgINra2qBSqXh2nYiIiD5wlUoF0WgUy8vLCIfDWFpakpdIJIJMJoNSqQSn04nGxkaEQiGcPn0ara2taG1thdlshl6vh8FggF6vh06ng06n474LERHRh4QhIdFTTqlUwmg0yn6ElUoFHR0dGBoawu7uLnZ3d7G9vY2pqSnMzMzg7t27eO2116DVauFyudDT04Pe3l50d3eju7sbDQ0NHIhCRERE70u1WgUAbGxsIBwOy0BweXkZKysriMViSKfTUCqVsNlscDqdcqVDU1MTmpqaYLPZYDKZ6i5GoxFKpZJhIBER0SPEJIDoI0apVEKv10Ov18Pj8cj+PiMjI9je3sbOzg62t7exsLCAxcVFrK6u4s6dOygWi7BarQgEAmhra0N7ezva29vR3NwMh8PxuO8WERERPUaVSgX5fB6bm5tYW1vD+vo6IpEI1tbWsLq6ilgshmQyCa1WC7PZDKvVisbGRgwODsLv98PtdsNms8FisciL1WqFyWTiyUkiIqInBD+RiT7iFAoF1Go13G433G43qtUqqtUqYrEYNjc35WVtbQ0rKyuIRqO4evUq3nzzTfnvAoEAmpub0dzcjFAohGAwCL1e/7jvGhEREX3A8vk8YrEYtra2sLW1he3tbXk9Go0ikUggmUxCpVJBq9XKJcB9fX3w+XxwuVxwOBxwOByw2+3yq8FggEqletx3j4iIiN4DQ0KiQ0ahUEChUMDlcsHlcqGvrw8AkMlkZFgoKgPW1tawsbGBe/fu4e7du1AqlbBYLGhsbJSXQCCAxsZG+Hw+qNVqLgsiIiJ6wlWrVezu7mJnZwfRaLTuaywWQywWQyKRQD6fl5/rCoUCOp0OHo8Hvb29cDqdcDqdcLlc8kSky+WCTqfjvgB9qG7cuAGdTscT1h+icrmMq1evPu6bQUSPgaIqGokQEdWoVCpIJpNYXV2VvYWWl5exvr6OnZ0dAJDLmr1eL4LBILxeLzwejzxYaGhogFar5cECERHRI1apVJDL5WR/4t3dXcTjcSQSCSQSCWxtbWFzcxPJZBKFQgHFYhGFQgEKhQIWiwV2ux1Op1N+pns8HvkZ73Q6odFoHvddpENocHAQTqcTdrudlakfomq1ikQigXA4jJmZGe7LEx0iDAmJ6H0rl8uIxWKyn+H8/Dzm5+flQYbJZJJLiwKBAILBINxuN+x2O+x2O2w2G2w2m2xGTkRERL+4crmMTCaDvb097O3tIZ1Oy+upVEouG97e3kYqlZJ/t7e3B61WC6vVKicL+/1+efH5fHC73TAYDAwH6InyX//rf0WhUHjcN+PQUCgU+OpXv8rtANEhwpCQiH5hYvMRiUQwOzuLmZkZzM3NYX5+Htvb28jlcjCbzXC5XPB4PPD7/WhubkZjYyOsVivMZrNsXm42mznFkIiIqIboI5zNZpHJZOou2WwWqVQKm5ubsspfVAkmEgmkUimUy2UYjUaYzWb4fD40NTUhGAyiqalJ9hi2Wq387CUiIiIADAmJ6ENQLpexurqK2dlZTE9PY3Z2FnNzc1hfX0cmk4FKpYLf75cHKx0dHejo6JBVhgaDAUajEXq9HhqNhgcvRET0kVWtVlEqlVAsFpHP51EoFJDP55HP55HL5ZDJZBCJRLCysoK1tbW6YSKJRAIqlQo6nQ4NDQ2yV7C4BINBBAIBeDweLg8mIiKin4khIRE9EpVKBbu7u5ifn8f09DSmp6cxOTmJmZkZ7O7uolQqobGxEe3t7Whra0NnZye6urrgdruh1+uh1Wqh1Wqh0WjkV4aHRET0NKhUKiiVSigUCjIQLJVKKJVKyOfziMfjcnBYJBLB+vq6HCC2vb0NpVIJnU4Ht9uNtrY2NDc3IxQKyYuoCGSPNiIiIvplMCQkoseqUqlgc3MTd+/exZ07d3D37l3cu3cP6+vrKBaLMBgMaGpqQmdnJzo6OtDW1oauri6EQiEYDAao1Wqo1WqoVCqo1WouWSYiokdK7EqXy2VUKhWUy+V9l1wuh3A4jLm5OayuriISicgQcGNjA+l0Wk4PdrlcCAaD8tLc3IzOzk709vbCYrHwM46IiIg+NAwJieiJtLm5KasNp6amMD09jZmZGWxvb6NUKsFsNqO1tRVdXV3o6upCT08Penp60NLSAqVSue8iDqp4cEVERD8v0RuwUqns+1qpVOSS4OXlZYTDYSwvL8vr4XAYu7u7UCgUUKvV8Pv9dVWAtRe/3w+z2fy47y4REREdUgwJieipUalUsLOzg9nZWRkeTk5OYnJyEqurq6hUKjCbzejq6kJ3dzd6enpk9UVLSwv0er2cqvxgaMjwkIjo8HlwN1j8+cGviUQCa2trB4aAy8vL2N7eRrlchlKphNVqRUtLC1pbW9Ha2oq2tjZ5PRgMQq/X8zOHiIiInkgMCYnoqVepVJBMJjE5OYmxsTFMTU1hYmICU1NTWF5eRqVSgUajQXNzM7q6umS/w87OTnR2dsLv90Or1T709/Ngjojo6fR+dnNLpRI2NjZk8CfCv5WVFSwtLWFlZQWpVAqVSgUKhQINDQ0IBoNoaWlBc3OzvIg/O53OR3DPiIiIiD54DAmJ6Kn3XpuxTCYjpyyLJcszMzNYWFhAPB5HtVqF2WxGc3MzOjo60N7eXvc1FAqxzyER0VOqWCxia2sLkUgEq6urWFlZwcrKClZXV+VlfX0dhUIBAKBWq+VU4JaWFrkMuKmpSfYItFqtsir9IPy8ICIioqcVQ0Ii+kh72NKxUqmEnZ0dzM3NYXZ2FvPz85ibm8PCwgKWlpaQSCRkE/nW1lZ0d3ejvb297tLY2AidTvfY7hsR0WFWqVSwvb2N9fV1RCIRGQCKy/LyMjY2NpDP51GtVqFWq9HQ0ICmpiYEAgE0NTXJi5gQ7Pf7oVarD2xF8bDrRERERB8VDAmJ6FASm76DmtCXy2VEo1EsLCxgfn4e8/PzWFxclAHi3t4eqtUqjEYjGhsb0dzcLA8wH2xA/17LmImIaL9SqYREIoH19XVsbGxgY2Nj3/X19XVsbm7KALBarcJqtdaFf4FAAI2NjQgEAggEAvB6vTCZTFAoFFAoFLJK/KALERER0WHEkJCI6AHigLNcLtddRIC4tbWFcDiMpaUlrK6uIhKJYG1tDWtra9je3kY2m4VKpYJWq903xVL0rgqFQvB4PFzKTESHRrVaRTabxcbGBjY3NxGJRLCxsYG1tTUZ+ontaC6Xk5OD9Xo9nE4n3G43PB4PvF6vvO73++H1ehEIBGAymaBUKqFSqeqm29f+mdtbIiIioodjSEhE9HMql8soFosolUryq7jkcjnEYjFEIhFEIhFsbm7WVcBsbm6iUqlArVbDYDDA6/XC5/PB5/PB7/fL6+LidDpZjUhET7S9vT1Eo1HEYjHs7OxgZ2dHXo9Go4hGo9je3pbfFydeAKChoQFutxtOpxNOpxMul0sGgl6vFx6PBxaLBVqtFiqVCiqVCmq1uu6ruM4qQCIiIqJfDkNCIqIPkKg2LBQKB15yuRy2trawtraGjY0NxGIxxGIxxONxeT2bzUKhUECj0cBgMMDpdMLr9dZdXC6X/OrxeKDT6XhwTEQfiEqlgmw2i3g8ju3tbSQSCWxvb8ttlLguQr9MJiNPmJTLZeh0OpjNZlitVthsNlgsFnnd5XLJ7Zc4CaLRaB56EUEgt29EREREHz6GhEREj4jY3ObzeeRyOeRyOXk9n8/L6+l0uq4iZ3d3F8lkEqlUCslkEslkEplMBhqNBlqtFjqdDjabDQ0NDXA6nXVfxXWHwwGHwwGz2fyeUzmJ6KNpd3dXbkvERXxvd3cX8XgciURCXtLpNIrFIvL5PEqlEjQaDcxmM4xGI6xWK4xGI0wmE8xmMywWCxwOB+x2O+x2O4xGI7RarQwAxXWtVgu9Xi+3W6JKmgEgERER0ZOBISER0ROmVCohn88jm80im80ik8nUfRUXUX0Yj8ext7eHXC4n/078+2KxCLVaDb1eD51OJw/wbTZb3cXhcMBms8Fut8Nms8FqtcJisUClUj3uh4OIahQKBaTTaaRSKezt7cmvtdfFSQXxvWQyiVwuJyua8/k8lEplXVgnthF6vR56vR4mkwlWqxUOhwMWiwUmk0n+jMFgqPvZ2n+v0+lY+UdERET0lGJISET0lBGb7Uwmg3Q6LS/iz5lMRl7S6bSsGkqlUshkMnU9FB+86PV6GAwGGAwGGI1GmM1mmM1mmEymuouoIhKVRLXXGSwSvTfRv7Q22H/wIt7XIgDc29tDOp1GNpuV/1YEf9VqVfbmO6hXn0ql2vdeNhgM8v0uvhqNRvn+r90O6PV6qNXqx/2wEREREdGHjCEhEdFHWLlcRjablQFDbaBY+z1xPZVKye9ls1lUKhUAPw0mH6RQKOqCBaPRKAPEB0OI93PRaDSP8uEh+rlVKhUUi8V9LQN+1qW2tcCDLQbE9VKp9NAKPPF9MfTooFBP/PmgryLcF39mtR8RERERPYghIRERSaJiKZlM1lUvia+11Yri64OVTdVqVVYvKZVKKJVKWdUk/qxWq+WyxdqLWLIo+peJ67V9zR7scSYGHIjrarUaarWageMhV61W5RAhUSlbLBbr/pzP5+smlT/4d7X/Tvy9GEAkXve1S/wrlYocXnTQdXERg4lqX+Niqe6Dwd6D1boPVvIaDAa+1omIiIjoA8GQkIiIfiEihDmoH1oymayrXDxoObQIaAqFggxhAMiAT3ytDf5qA0C1Wi17oYmKRRG0iO+r1Woolcq6Kani34uwUvyMCDNrrysUin3hJgBoNBr5d+Ln1Gp13c+zSuv+a6Q2KCuVSgDu99UD7i+7Fa+jg4K1crmMarUqXxulUkn+jPi3IsQTv6N2ym5tpV5tuCf68okQsFwu110Xv0dcf/DvRT+/2im8Op1OBni1lXu1lbXiz7XXa//MsI+IiIiIHieGhERE9MiVy2U5ybm2WrG2YlEsia7tsSiqtsT3ReVXbZhTGzhptVqoVCpZdahSqaDT6aDRaOT3xXURIIqAsDYIFAGjwWAAAJhMJigUChlIKpVKGAwGKBSKunBSXMTvEV8fRgSND6NQKH7m7wBw4FJSEa49SARtP8/3y+XyQ78vdivEcyAm5Iql78D9itVqtSqDutoqPhHIiX8rfg5AXXAnfkZU99X+HhEU1ga5IuSt7d1nNpvrhnEYjUYZNNcO6niwV+eDPTrF7yEiIiIiepoxJCQioqdWoVCQk59rQ8R8Pl9XsSh+RlSSpdNpWWWWTqf3LTEVPecqlYrszVgbsomQrFKpoFqtyoq52q8iXBTBlE6ng0KhkGHlQcRk2IcRoZdOpzvw78VHuk6n2zdoQgRnD37si4q7h33/QQ/7PaVSSQ7RqFarKBQKKJfLUCgUdUEpAPln8VVcFxV6Wq1W9t4TAaxYoi7+zmg0QqlU7ut/KSrzxNJdMXhDr9fv+zMREREREf0UQ0IiIqKfQYReoudiMpkEAGSzWRmaZTIZVKtVOUFaVLiJ6jZRTZfJZB5a0ZdKpd7zdtQGme91W8Xtq6VWq6HX6/eFkEql8qFDYywWy76KxIf9ntoqzdoqS61WK8M+s9kMhUIBs9ks/19RzXlQsElERERERI8OQ0IiIiIiIiIiIqJDTvm4bwARERERERERERE9XgwJiYiIiIiIiIiIDjmGhERERERERERERIccQ0IiIiIiIiIiIqJDjiEhERERERERERHRIceQkIiIiIiIiIiI6JBjSEhERERERERERHTIMSQkIiIiIiIiIiI65BgSEhERERERERERHXIMCYmIiIiIiIiIiA45hoRERERERERERESHHENCIiIiIiIiIiKiQ44hIRERERERERER0SHHkJCIiIiIiIiIiOiQY0hIRERERERERER0yDEkJCIiIiIiIiIiOuQYEhIRERERERERER1yDAmJiIiIiIiIiIgOOYaEREREREREREREhxxDQiIiIiIiIiIiokOOISEREREREREREdEhx5CQiIiIiIiIiIjokGNISEREREREREREdMgxJCQiIiIiIiIiIjrkGBISEREREREREREdcgwJiYiIiIiIiIiIDjmGhERERERERERERIccQ0IiIiIiIiIiIqJD7v8DQRXTZ3hbOm4AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " compartment('V'),\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " param('theta', shape=Shapes.TxN),\n", + " param('es9Lw5E8pMZjfAuN1bgr0OuTGky7xQHdaFc6VoP3X2B4WnSIYzDqCtRKmJelhivU', shape=Shapes.TxN)\n", + " ])\n", + "\n", + " [S, I, R, V] = symbols.compartment_symbols\n", + " [β, γ, θ, lorem] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " edge(S, V, rate=θ * S),\n", + " edge(V, S, rate = lorem * V), \n", + " ]\n", + " )\n", + "\n", + "\n", + "debug_ipm = construct_ipm()\n", + "\n", + "viz.render_model(debug_ipm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Repeat edges are summed in the label" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " compartment('V'),\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " param('theta', shape=Shapes.TxN),\n", + " param('phi', shape=Shapes.TxN)\n", + " ])\n", + "\n", + " [S, I, R, V] = symbols.compartment_symbols\n", + " [β, γ, θ, φ] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " edge(S, V, rate=θ * S),\n", + " edge(V, S, rate=φ * V),\n", + " edge(V, S, rate=θ * V) # notice the repeat edge\n", + " ]\n", + " )\n", + "\n", + "\n", + "debug_ipm = construct_ipm()\n", + "\n", + "viz.render_model(debug_ipm)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.0rc1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/epymorph/viztest.gv b/epymorph/viztest.gv deleted file mode 100644 index 83046506..00000000 --- a/epymorph/viztest.gv +++ /dev/null @@ -1,10 +0,0 @@ -// viztest -strict digraph { - rankdir=LR - node [shape=square] - edge [minlen=2.0] - S -> I [label=<
>] - I -> R [label=<
>] - I -> R [label=<
>] - R -> S [label=<
>] -} diff --git a/epymorph/viztest.gv.png b/epymorph/viztest.gv.png deleted file mode 100644 index 347874374b4ab32e1c95756f5240fb3943ea8211..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 16225 zcmZv@WmuM38!pV~*oat2BZ5gNf^?X4qog!QN_VQDAgP2R2&f2%q;#XCv`7nx(j_Tf z`@G-T`_FfL&cO^LJa?>h#TnOnDlaQ`a6k2a5)zVw65=-%Nl11G;QN5RyYcVHC&p#? z&u%>_v702@#6NFJ5<^KyPLfF6yms5^^`AcHyW#dfR_2;@`yI(|Qds-Q|K7{4W0Akx z(iJp><(?4Tvnn(6dE;S#&vyKJA)RIuWaKDmB}igfqR>w6i!$!{oyJWgUFC%zw( z3z;JRN>4o0K(Hi-DuCtMN^-uQ;&y+kGxzVT(038BL$ zualbmze{9YwkIhU9JAx+qCTjlrIkQdWo~b0XEoA5wSWJ9N)Zpi!Ro-BZ{EN6&dj_# zT>R$E$tQ;xWUZ|^hKGmk?Cf;R%<9Kl;=*G+Wn>NtI8ML+_|fkbr_m95dRZ+k`kvhT zOy|z|=I8TnY;0s?hHO_oCciG~P*s({m=VuT4z}2?@LN zBS?-@P<;RKL-OiX65M5IbhNdt?WU;cZtB1%zkcc1*x2xTY~8JhwfTrn)Nv zs5pIneRZ}rR)w09)6n9g6kc$S~PuyfMU^TBj~S*#De%Lftdx@V)~ zwpfV<%3Wz;ZU_^?OLEsGJBrBXhaEp5pr6&`<-T zy_6h!|CW}Px~&es6kKdm`ghMB8X=2Il(_qFpJTsamEUoau|=2t2M##T*PbQ5(w+XS zt+{M%jEXG$@;Y?cyzA0%!Idjl+_pED!@|O5wYL|wRRZM_TNUoyxuvX35gi?UH{a?X zJdbj!`eQGzipG)^mUC=u!(X2>b^ZA9y}kW$aPXnl1ev0N)$ZLPDQ% za_-RET3KPC7Zdbt92}~#{xmc+!x8cEr{lzeM`E`(&YGB*u&QNx-}0xh9;n=xtM_k1EZrg*(R+Sxw+i@i6te`JU^YhRu@J&P20}>(%Uig z>(^CxcOhL}-4d;$xHzw)XJy~Cj_3c$?FrL&c6J^b86hIW!eaVRwW^X*#nPXiSN!%D z=;`T?QBcg!)iA`ho32(}^stsm&%(7wM(*K_J!gBre^+#v`59PJBBYcc{WdKvXs{+Y zuEkij*vUG*`8+G@P_X9)(~B1`uyT4PCi@6LiOYY2_|_wSRu7Ivo=5fRbT*QesVM@n+=;K2Yo0SX2N29lJN zln72EGS9Wv*x99}7f5;Q`Va)jB}&q%zM_{A5fSuH$?i(a3$IUccBE<~(kdn0&MzqV zWZZJ{o$N%}~pRVq11uZRE6_w6I)t$Y)4O^S*RKjk& zhYufCRae)$f4}i(iEBDv_jwkU!EbMG^t#TJh&W9nuf^r$MypO}GoL*9K)2$F_56^8 zqM~A2#MH{#TBggQDRL)V|JJQrC=BGsk1u*HH#9a5;{w@vc{Fr+pFS~OzC7>OD*pKK zW8)n4k;bT+`QiHR-1{`UcI`r*3=R#wf8F`>XHa0^!KJ08x&=W&!Mz6#RCIQ}tgDlx zrK6jhpTA7aH@~!0{o_X@HiVjn#@gC?^-JgF+wT(-ZMQa@m3*v~cI?;@A?#k5R6$-o zC6USbFOpwCR?`O=0ipZA^3 z+Fz5qckf!+*qlOTz+Q_6P(F-{W8#l)8Y`rrpujF_a{MeT0Efqc;*+N6Mi*L=3Sjf{*?XWONpLhwSXLEAc}r96cjV!Y-Rb%WFk~VodKk^(m^*!V<}T z{P=N7(%pvp_p%3xk1x8Q;JL^+U^~O!-%M^-R83 zP+##Aa$S;FQ*+J|(aO?qs=cnK_b%xMx!%`j1~m<6z2CooN2ONrm@IpplXK;e;4BGR zmeKNb-)nw*zr+|9RQ&z)&O^_&Vq5zT4^2=1JZn8+$6r@pFCirrS6KMtL&y7z<93Bw z8mafq%~7xt3JMB3N6|Yj)GAn5uvb-8v1%2oQkB#-Gz=xDm!4u}4S4p998Ja8(o!s5 zQPb8OExFgeQ?nsfgu&I-m8iaXd1o(N@O$xsf|ZpuBO~K;OUq#a0f9EtE2tufb(G1V zprE?!t{Km5SLDC7jZJw|Q_vN&j&I%FPxJB|gLCZfYHFGo8^8JVX)aR#_;ug6H$&(+ zJ2lfeQL0(kPbMlRSvfiy)rFl8pckSJ6eVh;^KzeKdc+j2&qdvMCs8NO2Pq;fER5%h zjf|wuwdkwU4;HFM4Yxwb@aKK_;On_LsV!P_frW+G1eCKn4o62vJv}}2%at$dlXm>4 zt@Cm98`rM=gB=lNx`HM{E9ms>^XIGBsK;pQ&CS6{N{L$a^?TTZG8VZT?cx;}_w4b} zDrzS}>HM|)hz2eG9rk=;Vq!mfdR*I%?qjS>y-vJK^wi&ut-kj5Dx$OEf!NvECBF|& zOw^S>KCn6#7o6s#S)wIpYr7zGA{!g#=kJdV8=Nkhsjja-fOUTK=uua;$jq_Dw5vD%A62=>$n|C>%!`2EK5z{iGO=P>F;SqpE;gx zrmOofD~oe+aj`@=t#i`E)O5nS80|LntlS07OS!qZ(ve(G(f!Xy-vDd_D!6R&o%xJh zjGJcqvJVO?u{dZKwY9bX$QMT5YkK`OHI+?0^~K-6cF681`esXG(}QD-HL#OL{>I7wQS?V zdk)bXpx8ROxV&o}-@A9O&d}HA?)0A8$w^5-xN*&XjgQC7!o$O-dJ973gjc&Aaa8(baoNMG2zG?Ru9et$@r>91i$z)1(0Va`Eu!o0%osk=e`9 zZOTVwf6;l9pC7TZ;zUNv`=)IgLCh~8U~>O{d``~s60KmgA?zZ6!rRvIZ>Bj!#gt(L zWLu0lVrye_*>BlYHk$vIsp*BXjp2*w;~T)gNWxDU8CTOg^>uaM9$N?E``+7|!kXfg zMC=sr>i0*M(XvQZ9~-uORZau4xYHVW7Q;xHUfX6N>DRn1ZNEt)raSK2S_<)WuB5*d zjnl7H!l#v}szdxM1ReZNbS@4AAw}Q>#HuloDlM zalM#kyI8r{onv+a!FT%9DcteuF};)MI3GWL{P6K3^|9J29e=T2!PURyD(@AOX6NR9 zCnd%x?tlAu^=o4zwkUjd)~dLqM20SiT%`>N?(u;Wl-%Z&U>pf#M&GKKEMk}i20j)Z zjRAS_Manj`{q{9`-)>r4U(dwPABj&>wIBBS5x>asGW`SloNwvLU3CL{)YQ~Ckf&5l zSD47i$e5X#-zX+Aw;cA;x^w6FXmhO5NW-fHvR#yJbG}h$YlB{`zAcGw`;-%@D-uR3CJt*PO z&=9Xdff8CUp=F+pNCwdVH8S!fD=Vv|JUY)t@SSCC*_%rRX0J>S^T>HL>0KJ1m>2+p za@&}zK|v)rC5o1erLf@bfy3@nq7DsVUvv<>1eS1h72xLP1{S6kx`&dHJ^V%Ied~A_ zPiU!n{O$BkmY!Sagej@1pFVvW?@XmDoayf9c=AQ(^N%0u-5+<1Ew5K>-ycTegz5Kf zZ=qUnUAcn15A^c#Y8%@dnw6V-Mo{qe;$$b-ug+{0(^|)`E#_k?cN7)NQF2yVW49_j zw?;jQl8N4c`U$W*UAFCUuOWiNc-iv%xE(=OzyjxHD-N;L9NfK=KRRe>$$@lth5gxU zIXO9Qn~R-pe_O=Bb~0^-C10?rmH)}>|Jix*ngTe_bYIcxr1rKXc!AUlR@4@+11H$O z{ruUqvATd#a;@w>pDu`IaxxPeTOgJmtcu&^uQB=y}lN&c=-77c73@^j8Ar; zR(#Qs_n15SE{a*;o+N%mODnCXcWS0&ncj1Iy+6FBP-QzHIC%7s=gN&TkFWjbfH`m7 z+J#irs|`6_XN^t_0FCacj~zz{EL782-tEjODJj9j`~$$*)zg!O>T9OOGAP>5>h9)7 z&>?)hysGN4ik9;&=P6*Pfs*B)aR~|4=aP!lNk7}S?`vyon;lP#B^D87@*}P5+IZrt zOS(H+T3T3DGaeA|WN2uJoQ_V&I8=wx;`WUjJ5k<%3G3S4`d$+?b!fPY>ISyQ!JmK( z{QGz4w+{pN+BZ6Bb#--K_cbo+z}+BhaUg;WXE`}TQS2k5qAbVO?%cV9?KyJnn4PBo zBh&^3Wo3sO%d8hJyh9`(W)h{OTmJj^Jz5#irCFgYmIA-jX+LvFc!dPT1<@a-kKRu- z(63*`4F_94d^nexl~vo=Sdun*K$i@<3?RZ4drCd>5QCZk6phl&B@Luz>mWzCWEI$o zgq)m;DKA0?4HcmSJPQ0wfM8%}G$i0=u<-9l0DJo!g;5npA#pHffEJMJ3&B8UXr+9f zTY~6>+1c6O+S_jdTjP&0S0w%9!fh3m(C5#;fVu?+3Gnf8xUbm_3=UFpn|B@DHn*@l zS_X)`fY|K&CgktuH#Rk8fT*qeMCc>_{+|%~%*;cPX||yKL39ERn#=60tnZOWHO7so zzEpfR@8_5225XcQ6uyAe2b#J<=Q=)XF;6ejuNla^Z_rANm{GY3; zcA=}dxbUZ!EK#SXrfz@)B!Zw%Oqi0<@mDT1i!_7Y;>P!yV}yuG(-19iVx>&>F`x!2 zD4+erG0uApzm|F|6R|>#Q9N1B3-_?bE9?E+OzF z(9r0E!KLQs=QFahD)83%U9ULJI#>~nPD|ZJpR%(JkWSd0g^?)B`DV|p&=Xot4?8-P z!N(>$(^W#E@kAjZA^9_<>qH)d>~DbM-7ELrN6`0sjnoLC3ZVFeUKV!tAnnZw6`_&l zo}Qkhw6y8GQ{4#(XD(d0FuS;D2xPcv6I_4i_HB7BtsvltH*X$1dbC4QN(!t(=gXsA zo2645Ld(53oSpfaMYaW}r>8%(n<}TMf==26zZ=8$+Ws9=Ff}zrYdq7^)%D@nckKhv z!glQ385oq4o2#gzVq}+6SO|Kc&vpF1q2XgdO*AB-w4QI@J|isBIoEy;9`+&%4(pXG z;kY16Z9_bkyWf484)Mpsp9T`+;E+&S8iVX10m9n1ckk!w>fKjg*(81VFlOC|2Nn&c zmjULJm6bKPch9DV&XMF7NVc5E{825>O?wpJEg#5|OX}ykkOCSS8f5_!pQ~J=@kuK_((CIsLwLbWq^sLA_l|nm#DRt@LkiYI|%9GAsbbE&!*_u1%&dY%DY%J$h8% zE)7co&XJvyqsfu>WvE?6yQ;kW5m@7Ja?x&yh(v^ucIOf`gb^YUc=(lX->!VYrV$VX zSX zG)P~*eAx-Db`L9=EPQYx%1@=$nt!?x)) zUj>-J-hKPNfOVn^0(IaO>oOv_?guUW9}fsL#Rx@pXBpAZ^%UB(AjU-^Qod9f z)ItmBu_$UZZmVf+4MpZ^b)Nffnge#KWgTXm@zl>x4;)0aES2ZV6+*d%+Mbb_c|Ec9 z{H{)*WKss<*NA6;F$r1O=~kB{DV`mDrS1Y3!X>$P9M^jm3Tz%N;u!-*8K+K;Mvu;3 z6GS%%P1$Ys%brfRl4Sc4m<_06PQWPL1-56Qi@nAtuqgce{Ls(!dh@Lj-3s#ZSEZ#% zuU)&g@yF7WiIp`)j3pOx9Xcbeh{uNC@|2cpMxJV6QHe`bow2$3`wt)Xo;dL`IjHh) zJW4-`(cI$V>2v4A`LvXkMUiueSCk)gv&VsfGO=l<(Jx>6fc@e2lJg*3fYpY7$67?A zb^8ci5hC?Z5hP-7H zmG*BE@6W=b-(TuZtd*$Jomo#NE;NwD`1r?Y<52c^J-3Q8bEO=koSDi zO6mY^4OT6$q9TU>fiQ#oB{~!^Dxd8L>G=5g#t2W@7bu6IpmX!}7Z<=^I0=iOq8;T& zPOh1L@v_z2L9zejIbB^wpw58-Jt#%iwzdRxa9>}7aZq*RkkI>Ls)lFfr{! zWrXztiDPr=Nq67J*zoXM_V!o6+~QyqICEkzt6&g>OWr~S#G-uu{8`H^#Ue~OdAQ*f z=fAsl0WYR77lU~ds)za;O$CLA@FtLx|H;u>O37}^&V2{&@bmJX%P}7L;JW_&ZE*?l zo>Wv+=DqpPf&4R|J}1aTq2h3^-LIPaY3G;+P}K8U&^cregWEHpE|d_7`}f&!<;u#+ zOZF4DC7c?bp?@SGKX>jSdlnj6k)oExYxV2FJbZzp1Zy1mRD^~L^hA&*W@hhz08$Dz z^-AcCb4yDJZ{I#FFTV~E?rUwWE}G~RoT7NCmq)0mYMFus%b}tW;&ok}-`QBVkZ1u% zJxj}G$m*+*gh1{|*r#_5PfkjCc$6w;ec$|TYGU%VsHn(BPDMrKbah%9I|7)`VTuxf zMpaGi`HL5#PEPrXW{P+3N=r!WL;sKzQ*kVEh8RQwlL$C}=|^Cj%6}Hv+js9C0Xe>Y z{rVg`yRztO=qzeErpKWVL4Q7c>{wgkQ?k!+PynaiAhejog3h_x^?9uSQMuchh|hle z_RWKZeC7Z`06%*Mu!lBiWo0#{@YS71{_00beB9a;cWh!)Nj+s#l327mvyu4twM2!Z8AsFR~HuCmT4 zSy`cNZMTJ2e(fZBq2~8%q!t&v%)MBp-{j`L=qqv@oSKpbcefYH1CWLS4)kWZ68J|F z;24&j5kwbvm%holMxK5hOUwR?mLGt`&HD<&$Ht7?OzmT}w?)A&Lc_xi!+Ku}IFdbp z()jM(JER;FCudgYI4e9XsHY&ytj$8puR}=f&I-Uc*}1H@CJ#OXsSA;lpkve`ksp$k3Zd zp+e=f5GG0S@=sS3q}d;4>3voK<;>7E#3H;C6VHMW>!St(6&}2JG2P6=0yPu@J+$w% z=0R$hLtnmparfw(e5;(CZl;}Lh7NrTOcl0{X!3UHhT@|3Qxww!SNiTmj>0HD`L1Y%FHFppT$vyK_w-dGJ!+NDk@59YPBGe zt|i=`3v5T%>|O5uJp>oJ7P{6EI=aSB`Zc~!pB5zWoJYq)u$NWY<=8v#meiKBw`XBv zt3tvc{)8D0PX@{+4uY?XK9#w5?+l6^uYdp)>YGry(cG`WWu>NesrnHHd>0oPU7wg@ zu?yBAa`*{;{-(tk9O*P4-z)9ywNAmg%A?*-o`gJm2JJ_XgM;Iq(kO)14@pUHOG?~7 zD+`vX)1tD&aLetiftcPhj*YP+H5PiF?+l+j6zii4IUGR~)X{NKqwO{c3B!J37NEn- zWdSxERI(}Yu1S7c zOEM%F0G6?diE_Bd_LCiWM!5+4xw%G&?`N^fm6bP<&b&^uClQ2%Xi>cM!wlu}lhyC* zAY4eb-*2|~u5fY5-@O|U6{V5h=jC-e2yGN79nkm1%^Fge{?c`j)r}LU8Q@Ctos2tj zLqWS^>~3Tifp|f|fWgt;^!|D`5)oW5bh7C8n6u$6BD6H=$M$)=35WSC$|^R zmLI?qB8|&7JBrZ5=#uTcwXdzaSOy>Qi(RdbkF^B2h|0>`ip9TjTtjH@HJYob<3xA}e`EzRYvHf^nJu|Z&GofJ04PuVsTx4V%MNm`N3;&!K?3`Sz>(^iK*-l=*oY_Bk z*j)~T8Wsv@S3ozFG%zooy?TWeJj9}sHnpsJbNiWrn6Jj?cJ)&Hl#t_WQ4`UIVF0fGEmiTygox(TxQ`zt)xt{v?s#~3Kq23<>Ro6E#<&Y9M@fzwgOE!Y zO6;V?D#eXhC`F2vITn5Vgg_!Idj>lG`gGAD3^)+36T$%_6Ye2 zK97l!C9aiwe-O9}eme_I23gfXsmE%eC7--0Nz>woi;AkxoH-*(p?vI&p@~Tnt3kfU zrVAK=xP$~FN-59{0b;N}65`@IuryXyRwDQfto=iu(=qN=1)zmNCd$P9GSAJ?Qzn}K zj_^5)Z#wi;1r#IHo=7%r_r>ExEd%hkv$yBC|APxb0YX*e(&s4Y>v5)4_4?n$pX#NY zmoLNrtbw|R8W}fqhLyFUjqwl_fJNAg7xTm%O9I*O6FWt);hx&srxKxOs7`Z#pYJO}{@~&LlPdDh*T1~TGiflY z*k>su1SBn&hK8M;hzuj+Vv;XP!u zpTB&02&nxmBH}9?8EYV5dtbdVB5%wT6cnzBiarVHB0QmwA1}l;UMea}kbdrbWaPp~A^|^w6P0nC}onx2=D{2C=HDjnVImLGjrT)eE^ARh(t!zU?Sq?ty_;Xbxr;&mDP2U4w8jcxcBZn^d&I- zuv=?Ew0zeM4db)j4lsH=(@HlEn<(KN zPIsm19UXg?0c5OUL}RD++A7M+zX@0Y!-pSNU+lafE-wD7Nni$Z9i3RFEqEiB4yGzg zDJ#EF(6fziyaWX>2qPm1mFuL80A0jLScwHJl5xfAU~7S4aEMI{p79?v>Dn9 zbtu2E(5B~p-gzc&)YP#4G;i{qA6+ZHqeJH2?-9LoCtPtfG$P_0&5KA835T2gh3fTr zkd?rr!Wu6D~h7GiPi@qa6pJ zmQRqcH;`{_%)FX1|5^MhoJA$mZFT;kf6Afo7cU5GV(|InjONdI_y1su%l*|LKfjQE z4~#-ef&vl61g&oBX9-QTY+~DLulsTz!n(SR@n;z0#;WJALCxLJUADoV8OFxOzbc;| zt@CZfL{>9|5)xn#1yQrYvZ+6RWN1HOK9Dw5xgOk1LQ+x>Il_erA8Kkz!~(efJ+)E& z>DXA6ry>%{%12=2JdcicZ*RQB0GJW)+tt_C*T#4NMm`@u|9`#q5!N;=tg?o|v%xIA zgyF@7v`~C9>b2rs>G|;e?NN8Jd z+9kn0pdP`E*q5W;70{n4l!K4c1-n)lo0Vc~466W1x11_VER;)K}UyRgN(dzu+Io3>0XcI&zE>r1NQr?O$`mqFuFkIe+}G=fEBSZ zp;AUnaZ*t|g=6=W2@{#toFMvPhJwU=ow;fxYE8uZctdB4uWU z78v_PqavcQczbI-&rUa+S>O!e(1Q4+{g^L-Pyvh$$Ki8pYwQ0)XUqs1l;GCNAn^r^ zm|;6Ai?KSV-;Yl?L6Usx>nndG7MzGh%V>S+57Yo$iOizt4>utqg3axo4JV}!nIe5Q z4HU5!3Co5h*G(>(|2PK9fDXOM%PWhEi&aZph?P$ODMg#W^;dfOx2mNsmKY$wkT?Mo zoG77CaWDt~1`#3b&VR9ZcE`oil>s)Dn)9`?BKfEiAoQ@9CF}FlQ~ztr2z|;Sa295Bj&3@}_$7f@Pw(IiNo&mA?Mx zbge7{2osO``->>5m=z$3#@?2T?3!P#HrEz`Z63iX%DCUdExb0ygxGi8Oo4~>K0f|1 z1w}Pvp9m4p(tYn3oIj{D9M~<0Vk;9*7+bJOiqgaazU%!5pKN1D@u5{Bo3N$aVBqXL9wR|2o(W#+gkh^yIJ+osZ{y>40pw$FrXl3C6gu-+ zUS6k@*9+c(=LIo{Sa6xzVo;VO{=v$p8hR$YD*&l@eI9wMbW`;>5&iu0$udj`P}$kz*otW9Y2Ncorq(Bg}o22;W1KB5W{d z+^geqp8O}{>2`)p3C@1rNj!D&+C(zSH`T?97whWkoG=}=I(*Tyw$OeO?3&6~{(+g< z>hyF#B*FK= z!!Swy#Mh?yzb--$UsANo=<~Y_^bPH8$FD7qn%}(nFQ#h^foDlT)~&D%9$O2s3k$K^ zuOVE*!C8zd?93TkHW)=IH2;zPlwo_NhPX}LoI;%FTpdfgyta0KdWF&d7u#S7F!_)H z==&}%&N6Ajj=Crl!5 z+LT#r#!SJTCb?wMo3F*7{Ymdu8M8pJ&=Mu=n%_Wym^VQSeWIR9m`sA(8w=8}EEDbbroK1a&6JtJoUK%XeT35M#PBg`FhS zz9TUnat_4s7sjQLae9#O2y?d=TI6P_%OLu7e|qPM>%Ebf+J#qE0pkjR4}E?Wme@Wr zvXO$(7*2bq>k*GZY6;!L+M4RwWBYaY5@R^&fTK`ae_=R44~iJx&KluKEH_}}n!vv} zNWlqcRSlj&*s~Zl1TpZ!SSug^r@irYQWt`K3pfP)Ul#e(d6W(tytY}oGm}pgbsq~k z>~%<3XZ(A7c5W^)JZ=mB@h~Oj*Th&4esWzL#E_|PZmy}Qxbf-&^wX0Vyn(+Q#e11? zcOqP@IK?D*HZXR{4f-`mm(_JMI6RB z#P)%|Z&TvfwGqHF!ap0j;k^0Ab|w7y*>vP~z7Dpy++V zJUNu?b%A65J90w|cNkVD6w#Owqlu%$@d$7oKrBDZ(gJpDQpn+=aB;|w9=#zgE$!Ja ziSZ_KudA3-y%NnMe}Lpr7gxts(3V|<4#K{ z|98;H^NgBNVj0}fEXXPk=p_z5kWGw3ql5)GoSc<)6th2QhcI#(o*k_H-$5g*Cv9KJ z?$Vb0(^cen5$X}-=pb}QGneU1!}>K&E=KQHb#U4cf1Peyuu=1&g0FL&Vys-GRAdr( z34BR`0V7?cRA*aLLg%DfvC|yM%`@JYcrZoer3&OJN>^oCvRlb4sb?;S`KHyZdLW?FgdDX;%6 z2nr%2kQ9;LU@w*vR%?yV=(-EqCfbv0>+1A~=@qWdc!)i#Ex{g@7d_?)++OluDQx zD@n4lv)>~k_3>5%CWi09j@_6t5{bjq0F-njFFi5%k3j@a zLdG>VK8H4?i^|>*dF23{l7HN8UH5%BFf|o`u^I~t3u5jU(Z4(yBYeGgZ;2Lgma7w{ z(z{;rR|PQCxg4!N;nqI4pl+99?j2G9I+33pa#0Sl!qtbA*oL160L@bk9wHdvT3XU{{zu(Q?G&%!(T;jSs4<~CDcA*|l z2^knLV*$4hf|&1Of2;_3HrHME&38kKtfHfA;L8nUJPvNVLbu@NgAI z!_+V(ZN;%u1c(w93TDInP^jGZZ{Hq(K)_#skw#8KBL#mS2Yt>2Y3;Qx!0-s#GVBJ} zAsrZ2)$r9yA4NRi@^iIkV#V&gD!VXtfRt6$p?z*iS*Yaz8+@yT0QXaS) z<}V2*k_}$}%uDJ%AqUe*5VH*Uz#y;CdF%Y;J2`^@_9D~ui}`FtBiYWoHTp62FO=Ig)|7F=*R z7AG$*H0kJeRV989i) zqf@tVrW0=s^T`Ve28xd=<~<3Y6s^{$w$Q<6V6?0brx)0Tp2fs8!CUQ~xwe@1{ynpj z&!u0`@UaMzJHnnnzowvY*os3p62qN&eGW93o~c`ggxk8C&6^5@76(Wdx{YGz@P$An zjBjGJ6-X79au!hjNK>@ggnZS>cnpEm)hQO*mThmj!uz2VcH>2y^*WD6qm>JP2r z^%mIGnsSBy;T_WB1%AFp}?wFxYuZW#tlo%l2IZEeT7In3fD zef(J7*@@pdfo2V_C=Si>wA71VFsO+KK#91DkyBzxy0d(6>2Q{kfY~S_K7>F*O?{!Z@iWd7Q{uRRLP#ve)Str-!H+OQkbqWC0)Ryf z%%SeVX07YQ1^1DXRwDT-)6w_Vx}H;I_f1idBZ``~@-`HWv9UICXg#Hm|=BL!~1 zD?$n1x)o1;&&&h^9B*xH5mRB% zg$E}m&Au0y;9O`VRK($uX{^?3A=ekh#e(oEKBTAbVL!tSEt46Mh~f?sXLxjs5T9Fk zFra%LuLBGOz5r(hs>3Lb1ffjBwU)p%Y>O?5Fb?`boFO!9=q6zzMgJS=dE(`@6U7S3 zD)lB6JB6lpA@ka>=ZWjSfL;*a9{RI%<>lnOZ7~M(fg*-)2zxm@I}C#g#GP1JZp5{a zoLH78B_$;$Vj;OaL7tqEeJ$?f#ESz;32r6>KOna6#u14h5x!F#&joN7Dbz_+vBB|ilqV4^500b|^NTp495(KPSq3Ga3l=bl^k!Qz@5{yY zrX4dTCU29H_T}eyK)_aMf}?OVvGvsjX~xQv29}oT(yxjN3t^plVf_(NirP+-s8a-V nyrCWv<_oFk|L@587Q^VBeIh@NFN@&JJc-0D*_&zCbsqg6f$N** diff --git a/pyproject.toml b/pyproject.toml index 3ef6f0f7..e9fffdb2 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -45,6 +45,7 @@ dependencies = [ "shapely", "openpyxl", "platformdirs", + "graphviz", ] [project.optional-dependencies] diff --git a/zvirus.ipynb b/zvirus.ipynb new file mode 100644 index 00000000..f0761d36 --- /dev/null +++ b/zvirus.ipynb @@ -0,0 +1,245 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "d5fe0cd3-204d-46f6-b2f2-53764aad6bd4", + "metadata": {}, + "outputs": [], + "source": [ + "from sympy import Max\n", + "import os\n", + "\n", + "os.environ[\"CENSUS_API_KEY\"] = '6cf86640c2654b91dfa0418755fae477ccfe0be5'\n", + "\n", + "from epymorph.compartment_model import *\n", + "\n", + "def z_virus_ipm() -> CompartmentModel:\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'), # 0\n", + " compartment('E'), # 1\n", + " compartment('I'), # 2\n", + " compartment('R'), # 3\n", + " compartment('V'), # 4\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.S, dtype=float),\n", + " param('sigma', shape=Shapes.S, dtype=float),\n", + " param('gamma', shape=Shapes.S, dtype=float),\n", + " param('alpha', shape=Shapes.S, dtype=float),\n", + " ],\n", + " )\n", + "\n", + " [S, E, I, R, V] = symbols.compartment_symbols\n", + " [beta, sigma, gamma, alpha] = symbols.attribute_symbols\n", + "\n", + " N = Max(1, S + E + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, E, rate=beta * S * I / N), # 0\n", + " edge(E, I, rate=sigma * E), # 1\n", + " edge(I, R, rate=gamma * I), # 2\n", + " edge(S, V, rate=alpha), # 3\n", + " ]\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "163e018b-3a47-4dfd-ad46-043978a65f71", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "from epymorph.data_shape import Shapes\n", + "from epymorph.error import GeoValidationException\n", + "from epymorph.geo import *\n", + "from epymorph.geo.adrio import adrio_maker_library\n", + "from epymorph.geo.adrio.census.adrio_census import CensusGeography, Granularity\n", + "from epymorph.geo.cache import save_to_cache\n", + "from epymorph.geo.dynamic import DynamicGeo\n", + "\n", + "geo_spec = DynamicGeoSpec(\n", + " attributes=[\n", + " AttribDef('label', np.str_, Shapes.N),\n", + " AttribDef('geoid', np.str_, Shapes.N),\n", + " AttribDef('centroid', CentroidDType, Shapes.N),\n", + " AttribDef('population', np.int64, Shapes.N),\n", + " AttribDef('pop_density_km2', np.float64, Shapes.N),\n", + " AttribDef('commuters', np.int64, Shapes.NxN),\n", + " ],\n", + " time_period=Year(2020),\n", + " geography=CensusGeography(\n", + " granularity=Granularity.COUNTY,\n", + " filter={\n", + " 'state': ['04', '35', '32', '08', '49'], # AZ, NM, NV, CO, UT\n", + " 'county': ['*'],\n", + " 'tract': ['*'],\n", + " 'block group': ['*'],\n", + " },\n", + " ),\n", + " source={\n", + " 'label': 'Census:name',\n", + " 'geoid': 'Census',\n", + " 'centroid': 'Census',\n", + " 'population': 'Census',\n", + " 'pop_density_km2': 'Census',\n", + " 'commuters': 'Census',\n", + " },\n", + ")\n", + "\n", + "try:\n", + " geo = DynamicGeo.from_library(geo_spec, adrio_maker_library)\n", + " geo.validate()\n", + " save_to_cache(geo, 'devlog-20240214')\n", + "except GeoValidationException as e:\n", + " print(e.pretty())" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "ac6470e9-780d-4455-867b-a55a6521d501", + "metadata": {}, + "outputs": [], + "source": [ + "from typing import cast\n", + "\n", + "from epymorph.geo.cache import load_from_cache\n", + "from epymorph.geo.static import StaticGeo\n", + "\n", + "g = load_from_cache('devlog-20240214')\n", + "my_geo = cast(StaticGeo, load_from_cache('devlog-20240214'))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "24b21656-e26c-453b-a7ff-969e1e083346", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running simulation (StandardSimulation):\n", + "• 2020-04-01 to 2020-10-18 (200 days)\n", + "• 158 geo nodes\n", + "|####################| 100% \n", + "Runtime: 10.105s\n" + ] + } + ], + "source": [ + "from functools import partial\n", + "\n", + "import numpy as np\n", + "\n", + "import epymorph.initializer as init\n", + "from epymorph import *\n", + "\n", + "sim = StandardSimulation(\n", + " geo=my_geo,\n", + " ipm=z_virus_ipm(),\n", + " mm=mm_library['commuter'](),\n", + " params={\n", + " 'alpha': 0,\n", + " 'beta': 0.4,\n", + " 'sigma': 1 / 3,\n", + " 'gamma': 1 / 9,\n", + " 'movement_factor': 1,\n", + " },\n", + " time_frame=TimeFrame.of(\"2020-04-01\", 200),\n", + " initializer=partial(init.indexed_locations,\n", + " selection=np.array([3, 7, 13]), seed_size=100),\n", + ")\n", + "\n", + "with sim_messaging(sim):\n", + " out1 = sim.run()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "1099744f-c7c7-4e2a-9111-8db241b85bfd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "EtoI = 1\n", + "plot_event(out1, EtoI)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "48c3dd56-2dfb-4d6c-a90e-159bb871ef11", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.plot(\n", + " np.arange(out1.dim.ticks),\n", + " out1.prevalence[:, 7, 2],\n", + ")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "29a57d02-8e69-445a-adaf-5ed9481d3d7d", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.0rc1" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 4a278022cd4b839bb6267669bcd666d19adbd1c6 Mon Sep 17 00:00:00 2001 From: izaac Date: Tue, 5 Mar 2024 12:06:26 -0700 Subject: [PATCH 04/23] improved modularity of viz module by separating out drawing and saving the model --- epymorph/viz.py | 253 ++++++++++++++------------- epymorph/viz_test.ipynb | 375 ---------------------------------------- 2 files changed, 134 insertions(+), 494 deletions(-) delete mode 100644 epymorph/viz_test.ipynb diff --git a/epymorph/viz.py b/epymorph/viz.py index e44c948d..10211aa0 100644 --- a/epymorph/viz.py +++ b/epymorph/viz.py @@ -1,25 +1,54 @@ from graphviz import Digraph -from sympy import Expr, Symbol, init_printing, preview +from sympy import Expr, Symbol, preview from epymorph import ipm_library from epymorph.compartment_model import EdgeDef, ForkDef, CompartmentModel from typing import List, Union +from IPython import display from tempfile import NamedTemporaryFile -from matplotlib.image import imread from os import path, makedirs -from shutil import copy +from io import BytesIO +from matplotlib.image import imread import matplotlib.pyplot as plt -""" class for keeping track of the edges added to the visualization """ +class ipmDraw(): + """class for functions related to drawing a graphviz ipm graph""" + + def jupyter(graph: Digraph): + """draws the graph in a jupyter notebook""" + display.display_png(graph) + + def console(graph: Digraph): + """draws graph to console""" + + # render png of graph + model_bytes = graph.pipe(format='png') + + # convert png bytes to bytesio object + model_bytes = BytesIO(model_bytes) + + # read the png file for matplotlib visualization + ipm_png = imread(model_bytes) + + # mark the model png as the plot to show + plt.imshow(ipm_png) + + # turn of axes + plt.axis('off') + + # show the model png + plt.show() + class EdgeTracker(): + """ class for keeping track of the edges added to the visualization """ - """ dictionary for tracking edges, key = (head, tail) value = edge label""" edge_dict = {} + """ dictionary for tracking edges, key = (head, tail) value = edge label""" - """ - given a head, tail, and label for an edge, tracks it and updates the - edge label (a sympy expr) if necessary - """ def track_edge(self, head: str, tail: str, label: Expr) -> None: + """ + given a head, tail, and label for an edge, tracks it and updates the + edge label (a sympy expr) if necessary + """ # check if edge already exists if (head, tail) in self.edge_dict: @@ -34,8 +63,8 @@ def track_edge(self, head: str, tail: str, label: Expr) -> None: self.edge_dict[(head, tail)] = label - """ given a head and tail for an edge, return its label """ def get_edge_label(self, head:str, tail:str) -> str: + """ given a head and tail for an edge, return its label """ # ensure label exists if (head, tail) in self.edge_dict: @@ -46,143 +75,129 @@ def get_edge_label(self, head:str, tail:str) -> str: # not in list, return empty expression return None - """ clears all tracked edges """ def clear(self): - self.edge_dict.clear() - + """ clears all tracked edges """ + self.edge_dict.clear() -""" -primary function for creating a model visualization, given an ipm label that -exists within the ipm library -""" -def render_model(ipm: CompartmentModel, save: bool = False, - filename: str = "") -> None: - - # render model as a temp file - with NamedTemporaryFile(suffix = '.gv', delete=False) as temp_gv: - - # init a tracker to be used for tacking edges and edge labels - tracker = EdgeTracker() - # fetch ipm transition data - ipm_transitions = ipm.transitions +def build_ipm_graph(ipm: CompartmentModel) -> Digraph: - # init graph for model visualization to save to png, strict flag makes - # it so repeated edges are merged - model_viz = Digraph(format = 'png', strict=True, - graph_attr = {'rankdir': 'LR'}, - node_attr = {'shape': 'square', - 'width': '.9', - 'height': '.8'}, - edge_attr = {'minlen': '2.0'}) - - # clear graph so repeated calls of render model do not repeat edges - model_viz.clear(keep_attrs=True) - - # clear tracker, see above - tracker.clear() - - - # render edges - for transition in ipm_transitions: - - # check for fork - if isinstance(transition, ForkDef): + """ + primary function for creating a model visualization, given an ipm label + that exists within the ipm library + """ + # init a tracker to be used for tacking edges and edge labels + tracker = EdgeTracker() - # add fork transitions to list - ipm_transitions += transition.edges + # fetch ipm transition data + ipm_transitions = ipm.transitions + + # init graph for model visualization to save to png, strict flag makes + # it so repeated edges are merged + model_viz = Digraph(format = 'png', strict=True, + graph_attr = {'rankdir': 'LR'}, + node_attr = {'shape': 'square', + 'width': '.9', + 'height': '.8'}, + edge_attr = {'minlen': '2.0'}) - # transition is an edge - else: + # clear graph so repeated calls of render model do not repeat edges + model_viz.clear(keep_attrs=True) - # get the current head and tail of the edge - curr_head, curr_tail = str(transition.compartment_from), \ - str(transition.compartment_to) - - # add edge to tracker, using the rate as the label - tracker.track_edge(curr_head, curr_tail, transition.rate) + # clear tracker, see above + tracker.clear() - # get santized edge label from newly tracked edge - label_expr = tracker.get_edge_label(curr_head, curr_tail) + # render edges + for transition in ipm_transitions: - # create a temporary png file to render LaTeX edge label - with NamedTemporaryFile(suffix='.png', - delete=False) as temp_png: + # check for fork + if isinstance(transition, ForkDef): - # load label as LaTeX png into temp file - preview(label_expr, viewer='file', filename=temp_png.name, - euler=False) + # add fork transitions to list + ipm_transitions += transition.edges - # render edge - model_viz.edge(curr_head, curr_tail, - label=png_to_label(temp_png.name)) + # transition is an edge + else: - # render png of graph - model_viz.render(temp_gv.name) + # get the current head and tail of the edge + curr_head, curr_tail = str(transition.compartment_from), \ + str(transition.compartment_to) + + # add edge to tracker, using the rate as the label + tracker.track_edge(curr_head, curr_tail, transition.rate) - # get the optimal size for the rendered graph - plt.figure(dpi=find_optimal_dpi(f'{temp_gv.name}.png')) + # get santized edge label from newly tracked edge + label_expr = tracker.get_edge_label(curr_head, curr_tail) + # create a temporary png file to render LaTeX edge label + with NamedTemporaryFile(suffix='.png', + delete=False) as temp_png: - # show the png - ipm_png = imread(f'{temp_gv.name}.png') - plt.imshow(ipm_png) - plt.axis('off') - plt.show() + # load label as LaTeX png into temp file + preview(label_expr, viewer='file', filename=temp_png.name, + euler=False) - # check if image should be saved - if save: - - # ensure filename not empty - if filename: + # render edge + model_viz.edge(curr_head, curr_tail, + label=png_to_label(temp_png.name)) - # create visualization directory if it doesn't exist - if not path.exists('model_pngs'): + # return created visualization graph + return model_viz - # doesn't exist, create the directory - makedirs('model_pngs') +def render(ipm: CompartmentModel, save: bool = False, filename: str = "", + console: bool = False) \ + -> None: + """ + main function for converting an ipm into a visual model + ipm: the model to be converted + save: inidicates if the model should be saved + filename: file name to save to, if model is to be saved + console: flag for printing to console vs the standard output to jupyter + """ + ipm_graph = build_ipm_graph(ipm) + + if console: + ipmDraw.console(ipm_graph) + + else: + ipmDraw.jupyter(ipm_graph) + + if save: + save_model(ipm_graph, filename) + +def save_model(ipm_graph: Digraph, filename: str) -> None: + """ + function that saves a given graphviz ipm digraph to a png in the + 'model_pngs' folder with the given file name. Creates the folder if it + does not exist + """ - # copy temp file to png directory to save it - copy(f'{temp_gv.name}.png', f'model_pngs/{filename}.png') + # ensure filename not empty + if filename: - # file name is empty, print err message - else: + # create visualization directory if it doesn't exist + if not path.exists('model_pngs'): - print("ERR: no file name provided, could not save model") + # doesn't exist, create the directory + makedirs('model_pngs') + # render and save png + ipm_graph.render(filename, 'model_pngs', cleanup=True) + + # file name is empty, print err message + else: + print("ERR: no file name provided, could not save model") -""" -helper function for displaying an image label using graphvz, requires the image -to be in a table -""" def png_to_label(png_filepath: str) -> str: + """ + helper function for displaying an image label using graphvz, requires the + image to be in a table + """ + return ( f'<
' + '
>' ) -""" -helper function for determining the best dpi (which determines size) for -displaying the given ipm model .png using motplotlib -""" -def find_optimal_dpi(ipm_png_filename: str) -> int: - # init dpi to start at 100 - opt_dpi = 100 - - # get the size of the png file - png_size = path.getsize(ipm_png_filename) - - # for every 10k bytes, increase the dpi - while (png_size > 10000): - - # increase the dpi by 50 - opt_dpi += 50 - - # remove 10 kbytes from the size for loop control - png_size -= 10000 - - # return the determined dpi - return opt_dpi - diff --git a/epymorph/viz_test.ipynb b/epymorph/viz_test.ipynb deleted file mode 100644 index 73fff3c5..00000000 --- a/epymorph/viz_test.ipynb +++ /dev/null @@ -1,375 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# IPM Visualization Test Notebook\n", - "by Izaac Molina\n", - "\n", - "\n", - "## Goal and Purpose\n", - "The traditional way to design a model in epymorph is to first draw a ipm model, then translate that model into an ipm object via code. This project seeks to go in the other direction: turning an ipm object into a model. This is great both for educational and debugging purposes as it allows users to present their model more clearly as well as check to ensure they have implemented the model correctly in epymorph\n", - "\n", - "## Design\n", - "The \"viz\" module uses GraphViz, a software that when combined with a Python Library can be used to convert the ipm into a graph object, which can then be printed as a .png.\n", - "\n", - "The primary nethod in viz is the render_module method, which takes in the following parameters:\n", - "- ipm: the ipm object to be converted into a model to display\n", - "- save: an optional flag for whether the model should be saved in the \"model_pngs\" directory\n", - "- file: an optional name to be used when the file is saved\n", - "\n", - "viz.render_model(ipm: CompartmentModel, save: bool, filename: str)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Viz applied to ipms in the epymorph system:" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import viz\n", - "from epymorph import ipm_library\n", - "\n", - "ipm = ipm_library['pei']()\n", - "\n", - "viz.render_model(ipm)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ipm = ipm_library['sirh']()\n", - "\n", - "viz.render_model(ipm, True, 'sirh')" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ipm = ipm_library['seirs']()\n", - "\n", - "viz.render_model(ipm)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ipm = ipm_library['sirs']()\n", - "\n", - "viz.render_model(ipm)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ipm = ipm_library['sparsemod']()\n", - "\n", - "viz.render_model(ipm)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## The LaTeX conversion in viz auto truncates overly long constant values" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from sympy import Max\n", - "\n", - "from epymorph import *\n", - "from epymorph.compartment_model import *\n", - "\n", - "\n", - "def construct_ipm():\n", - " symbols = create_symbols(\n", - " compartments=[\n", - " compartment('S'),\n", - " compartment('I'),\n", - " compartment('R'),\n", - " compartment('V'),\n", - " ],\n", - " attributes=[\n", - " param('beta', shape=Shapes.TxN),\n", - " param('gamma', shape=Shapes.TxN),\n", - " param('theta', shape=Shapes.TxN),\n", - " param('phi', shape=Shapes.TxN), # add a parameter to simulate the rate at which vaccinated become susceptible\n", - " ])\n", - "\n", - " [S, I, R, V] = symbols.compartment_symbols\n", - " [β, γ, θ, φ] = symbols.attribute_symbols\n", - "\n", - " # formulate N so as to avoid dividing by zero;\n", - " # this is safe in this instance because if the denominator is zero,\n", - " # the numerator must also be zero\n", - " N = Max(1, S + I + R + V)\n", - "\n", - " return create_model(\n", - " symbols=symbols,\n", - " transitions=[\n", - " edge(S, I, rate=3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961567945208095146550225231603881930142093762137855956638937787083039069792077346722182562599661501421503068038447734549202605414665925201497442850732518666002132434088190710486331734649651453905796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007230558763176359421873125147120532928191826186125867321579198414848829164470609575270695722091756711672291098169091528017350671274858322287183520935396572512108357915136988209144421006751033467110314126711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064204675259070915481416549859461637180270981994309924488957571282890592323326097299712084433573265489382391193259746366730583604142813883032038249037589852437441702913276561809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915441101044682325271620105265227211166039666557309254711055785376346682065310989652691862056476931257058635662018558100729360659876486117910453348850346113657686753249441668039626579787718556084552965412665408530614344431858676975145661406800700237877659134401712749470420562230538994561314071127000407854733269939081454664645880797270826683063432858785698305235808933065757406795457163775254202114955761581400250126228594130216471550979259230990796547376125517656751357517829666454779174501129961489030463994713296210734043751895735961458901938971311179042978285647503203198691514028708085990480109412147221317947647772622414254854540332157185306142288137585043063321751829798662237172159160771669254748738986654949450114654062843366393790039769265672146385306736096571209180763832716641627488880078692560290228472104031721186082041900042296617119637792133757511495950156604963186294726547364252308177036751590673502350728354056704038674351362222477158915049530984448933309634087807693259939780541934144737744184263129860809988868741326047215695162396586457302163159819319516735381297416772947867242292465436680098067692823828068996400482435403701416314965897940924323789690706977942236250822168895738379862300159377647165122893578601588161755782973523344604281512627203734314653197777416031990665541876397929334419521541341899485444734567383162499341913181480927777103863877343177207545654532207770921201905166096280490926360197598828161332316663652861932668633606273567630354477628035045077723554710585954870279081435624014517180624643626794561275318134078330336254232783944975382437205835311477119926063813346776879695970309833913077109870408591337464144282277263465947047458784778720192771528073176790770715721344473060570073349243693113835049316312840425121925651798069411352801314701304781643788518529092854520116583934196562134914341595625865865570552690496520985803385072242648293972858478316305777756068887644624824685792603953527734803048029005876075825104747091643961362676044925627420420832085661190625454337213153595845068772460290161876679524061634252257719542916299193064553779914037340432875262888963995879475729174642635745525407909145135711136941091193932519107602082520261879853188770584297259167781314969900901921169717372784768472686084900337702424291651300500516832336435038951702989392233451722013812806965011784408745196012122859937162313017114448464090389064495444006198690754851602632750529834918740786680881833851022833450850486082503930213321971551843063545500766828294930413776552793975175461395398468339363830474611996653858153842056853386218672523340283087112328278921250771262946322956398989893582116745627010218356462201349671518819097303811980049734072396103685406643193950979019069963955245300545058068550195673022921913933918568034490398205955100226353536192041994745538593810234395544959778377902374216172711172364343543947822181852862408514006660443325888569867054315470696574745855033232334210730154594051655379068662733379958511562578432298827372319898757141595781119635833005940873068121602 * β * S * I / N),\n", - " edge(I, R, rate=γ * I),\n", - " edge(S, V, rate=θ * S),\n", - " edge(V, S, rate = φ * V),\n", - " ]\n", - " )\n", - "\n", - "\n", - "debug_ipm = construct_ipm()\n", - "\n", - "viz.render_model(debug_ipm)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Edges will extend along with attribute names" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from sympy import Max\n", - "\n", - "from epymorph import *\n", - "from epymorph.compartment_model import *\n", - "\n", - "\n", - "def construct_ipm():\n", - " symbols = create_symbols(\n", - " compartments=[\n", - " compartment('S'),\n", - " compartment('I'),\n", - " compartment('R'),\n", - " compartment('V'),\n", - " ],\n", - " attributes=[\n", - " param('beta', shape=Shapes.TxN),\n", - " param('gamma', shape=Shapes.TxN),\n", - " param('theta', shape=Shapes.TxN),\n", - " param('es9Lw5E8pMZjfAuN1bgr0OuTGky7xQHdaFc6VoP3X2B4WnSIYzDqCtRKmJelhivU', shape=Shapes.TxN)\n", - " ])\n", - "\n", - " [S, I, R, V] = symbols.compartment_symbols\n", - " [β, γ, θ, lorem] = symbols.attribute_symbols\n", - "\n", - " # formulate N so as to avoid dividing by zero;\n", - " # this is safe in this instance because if the denominator is zero,\n", - " # the numerator must also be zero\n", - " N = Max(1, S + I + R + V)\n", - "\n", - " return create_model(\n", - " symbols=symbols,\n", - " transitions=[\n", - " edge(S, I, rate=β * S * I / N),\n", - " edge(I, R, rate=γ * I),\n", - " edge(S, V, rate=θ * S),\n", - " edge(V, S, rate = lorem * V), \n", - " ]\n", - " )\n", - "\n", - "\n", - "debug_ipm = construct_ipm()\n", - "\n", - "viz.render_model(debug_ipm)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Repeat edges are summed in the label" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from sympy import Max\n", - "\n", - "from epymorph import *\n", - "from epymorph.compartment_model import *\n", - "\n", - "\n", - "def construct_ipm():\n", - " symbols = create_symbols(\n", - " compartments=[\n", - " compartment('S'),\n", - " compartment('I'),\n", - " compartment('R'),\n", - " compartment('V'),\n", - " ],\n", - " attributes=[\n", - " param('beta', shape=Shapes.TxN),\n", - " param('gamma', shape=Shapes.TxN),\n", - " param('theta', shape=Shapes.TxN),\n", - " param('phi', shape=Shapes.TxN)\n", - " ])\n", - "\n", - " [S, I, R, V] = symbols.compartment_symbols\n", - " [β, γ, θ, φ] = symbols.attribute_symbols\n", - "\n", - " # formulate N so as to avoid dividing by zero;\n", - " # this is safe in this instance because if the denominator is zero,\n", - " # the numerator must also be zero\n", - " N = Max(1, S + I + R + V)\n", - "\n", - " return create_model(\n", - " symbols=symbols,\n", - " transitions=[\n", - " edge(S, I, rate=β * S * I / N),\n", - " edge(I, R, rate=γ * I),\n", - " edge(S, V, rate=θ * S),\n", - " edge(V, S, rate=φ * V),\n", - " edge(V, S, rate=θ * V) # notice the repeat edge\n", - " ]\n", - " )\n", - "\n", - "\n", - "debug_ipm = construct_ipm()\n", - "\n", - "viz.render_model(debug_ipm)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.0rc1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} From 8ec6ca4efc3c4d86bad7634b239fcbafb4913e80 Mon Sep 17 00:00:00 2001 From: izaac Date: Tue, 5 Mar 2024 13:45:36 -0700 Subject: [PATCH 05/23] removed need to clear graph/tracker and used ipm.events instead of transitions to handle forks --- epymorph/viz.py | 74 +++++++++++++++++++------------------------------ 1 file changed, 29 insertions(+), 45 deletions(-) diff --git a/epymorph/viz.py b/epymorph/viz.py index 10211aa0..aeeeda1d 100644 --- a/epymorph/viz.py +++ b/epymorph/viz.py @@ -15,6 +15,7 @@ class ipmDraw(): def jupyter(graph: Digraph): """draws the graph in a jupyter notebook""" + display.display_png(graph) def console(graph: Digraph): @@ -40,9 +41,13 @@ def console(graph: Digraph): class EdgeTracker(): """ class for keeping track of the edges added to the visualization """ - - edge_dict = {} - """ dictionary for tracking edges, key = (head, tail) value = edge label""" + + def __init__(self): + self.edge_dict = {} + """ + dictionary for tracking edges, key = (head, tail) + value = edge label + """ def track_edge(self, head: str, tail: str, label: Expr) -> None: """ @@ -75,14 +80,8 @@ def get_edge_label(self, head:str, tail:str) -> str: # not in list, return empty expression return None - def clear(self): - """ clears all tracked edges """ - - self.edge_dict.clear() - def build_ipm_graph(ipm: CompartmentModel) -> Digraph: - """ primary function for creating a model visualization, given an ipm label that exists within the ipm library @@ -90,8 +89,8 @@ def build_ipm_graph(ipm: CompartmentModel) -> Digraph: # init a tracker to be used for tacking edges and edge labels tracker = EdgeTracker() - # fetch ipm transition data - ipm_transitions = ipm.transitions + # fetch ipm event data + ipm_events = ipm.events # init graph for model visualization to save to png, strict flag makes # it so repeated edges are merged @@ -102,45 +101,30 @@ def build_ipm_graph(ipm: CompartmentModel) -> Digraph: 'height': '.8'}, edge_attr = {'minlen': '2.0'}) - # clear graph so repeated calls of render model do not repeat edges - model_viz.clear(keep_attrs=True) - - # clear tracker, see above - tracker.clear() - # render edges - for transition in ipm_transitions: - - # check for fork - if isinstance(transition, ForkDef): - - # add fork transitions to list - ipm_transitions += transition.edges + for event in ipm_events: - # transition is an edge - else: - - # get the current head and tail of the edge - curr_head, curr_tail = str(transition.compartment_from), \ - str(transition.compartment_to) - - # add edge to tracker, using the rate as the label - tracker.track_edge(curr_head, curr_tail, transition.rate) + # get the current head and tail of the edge + curr_head, curr_tail = str(event.compartment_from), \ + str(event.compartment_to) + + # add edge to tracker, using the rate as the label + tracker.track_edge(curr_head, curr_tail, event.rate) - # get santized edge label from newly tracked edge - label_expr = tracker.get_edge_label(curr_head, curr_tail) + # get santized edge label from newly tracked edge + label_expr = tracker.get_edge_label(curr_head, curr_tail) - # create a temporary png file to render LaTeX edge label - with NamedTemporaryFile(suffix='.png', - delete=False) as temp_png: + # create a temporary png file to render LaTeX edge label + with NamedTemporaryFile(suffix='.png', + delete=False) as temp_png: - # load label as LaTeX png into temp file - preview(label_expr, viewer='file', filename=temp_png.name, - euler=False) + # load label as LaTeX png into temp file + preview(label_expr, viewer='file', filename=temp_png.name, + euler=False) - # render edge - model_viz.edge(curr_head, curr_tail, - label=png_to_label(temp_png.name)) + # render edge + model_viz.edge(curr_head, curr_tail, + label=png_to_label(temp_png.name)) # return created visualization graph return model_viz @@ -200,4 +184,4 @@ def png_to_label(png_filepath: str) -> str: f'<
' + '
>' ) - +render(ipm_library['pei'](), console=True) From cf34171925d0dcae025db8bc370036c2edb1a1a7 Mon Sep 17 00:00:00 2001 From: izaac Date: Tue, 5 Mar 2024 14:04:04 -0700 Subject: [PATCH 06/23] removed testing line that should not be included --- epymorph/viz.py | 1 - 1 file changed, 1 deletion(-) diff --git a/epymorph/viz.py b/epymorph/viz.py index aeeeda1d..be7d8224 100644 --- a/epymorph/viz.py +++ b/epymorph/viz.py @@ -184,4 +184,3 @@ def png_to_label(png_filepath: str) -> str: f'<
' + '
>' ) -render(ipm_library['pei'](), console=True) From 81ec076e436a63dfae9a09b7d0bd3f3cf0d21cfc Mon Sep 17 00:00:00 2001 From: izaac Date: Thu, 7 Mar 2024 16:02:13 -0700 Subject: [PATCH 07/23] cleaned up unecessary files --- doc/devlog/2024-02-03IM.ipynb | 960 -------------------------------- doc/devlog/2024-02-10IM.ipynb | 24 - doc/devlog/img/SIR-model.png | Bin 5082 -> 0 bytes doc/devlog/img/SIRV-1-model.png | Bin 8749 -> 0 bytes doc/devlog/img/SIRV-2-model.png | Bin 10385 -> 0 bytes doc/devlog/img/SIRV-model.png | Bin 7882 -> 0 bytes epymorph/data/ipm/viztest.py | 44 -- epymorph/model_pngs/sirh.png | Bin 31947 -> 0 bytes zvirus.ipynb | 245 -------- 9 files changed, 1273 deletions(-) delete mode 100644 doc/devlog/2024-02-03IM.ipynb delete mode 100644 doc/devlog/2024-02-10IM.ipynb delete mode 100644 doc/devlog/img/SIR-model.png delete mode 100644 doc/devlog/img/SIRV-1-model.png delete mode 100644 doc/devlog/img/SIRV-2-model.png delete mode 100644 doc/devlog/img/SIRV-model.png delete mode 100644 epymorph/data/ipm/viztest.py delete mode 100644 epymorph/model_pngs/sirh.png delete mode 100644 zvirus.ipynb diff --git a/doc/devlog/2024-02-03IM.ipynb b/doc/devlog/2024-02-03IM.ipynb deleted file mode 100644 index 89cdebfd..00000000 --- a/doc/devlog/2024-02-03IM.ipynb +++ /dev/null @@ -1,960 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Note: MM used for all models is single population, no geo model is used" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "# Template for creating an IPM\n", - "\n", - "# import dependencies\n", - "\n", - "# define function that creates IPM\n", - " # define the symbols (compartments and parameters) to be used in the model using create_symbols\n", - "\n", - " # define compartments (i.e. S, I, R)\n", - "\n", - " # define parameters (i.e. beta, gamma, theta)\n", - "\n", - " # specify created symbols as comaprtments/parameters\n", - "\n", - " # formulate N to avoid dividing by zero N = max(number of individuals, 1)\n", - "\n", - " # define the directed edges in the model and their rates of change using create_model, return result\n", - " # set the symbols to our created set\n", - "\n", - " # define the transitions using edges\n", - "\n", - "# call creation function, set result into an IPM variable" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 1. Building an SIR IPM\n", - "\n", - "Using epymorph's model definition features, we can construct an SIR model with suitable parameters.\n", - "\n", - "![SIR model diagram](img/SIR-model.png)\n", - "\n", - "The differential equations for this model are as follows:\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "& \\frac{dS}{dt} = -\\frac{\\beta S I}{N} \\\\\n", - "& \\frac{dI}{dt} = \\frac{\\beta S I}{N} - \\gamma I \\\\\n", - "& \\frac{dR}{dt} = \\gamma I \\\\\n", - "\\end{aligned}\n", - "$$\n" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "from sympy import Max\n", - "\n", - "from epymorph import *\n", - "from epymorph.compartment_model import *\n", - "\n", - "\n", - "def construct_ipm():\n", - " symbols = create_symbols(\n", - " compartments=[\n", - " compartment('S'),\n", - " compartment('I'),\n", - " compartment('R'),\n", - " ],\n", - " attributes=[\n", - " param('beta', shape=Shapes.TxN),\n", - " param('gamma', shape=Shapes.TxN),\n", - " ])\n", - "\n", - " [S, I, R] = symbols.compartment_symbols\n", - " [β, γ] = symbols.attribute_symbols\n", - "\n", - " # formulate N so as to avoid dividing by zero;\n", - " # this is safe in this instance because if the denominator is zero,\n", - " # the numerator must also be zero\n", - " N = Max(1, S + I + R)\n", - "\n", - " return create_model(\n", - " symbols=symbols,\n", - " transitions=[\n", - " edge(S, I, rate=β * S * I / N),\n", - " edge(I, R, rate=γ * I),\n", - " ]\n", - " )\n", - "\n", - "\n", - "sir_ipm = construct_ipm()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Low Beta" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.016s\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sir_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.20,\n", - " 'gamma': 0.25,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## High beta" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.022s\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sir_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.60,\n", - " 'gamma': 0.25,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Low Gamma" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.035s\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sir_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.45,\n", - " 'gamma': 0.1,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## High Gamma" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.029s\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sir_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.45,\n", - " 'gamma': 0.4,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 2. Building an SIRV IPM (S goes to V)\n", - "\n", - "In this update, a vaccinated compartment is added, where S can transition to V\n", - "\n", - "![SIRV model diagram](img/SIRV-model.png)\n", - "\n", - "The differential equations for this model are as follows:\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "& \\frac{dS}{dt} = -\\frac{\\beta S I}{N} -\\theta S\\\\\n", - "& \\frac{dI}{dt} = \\frac{\\beta S I}{N} - \\gamma I \\\\\n", - "& \\frac{dR}{dt} = \\gamma I \\\\\n", - "& \\frac{dV}{dt} = \\theta S \\\\\n", - "\\end{aligned}\n", - "$$" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "metadata": {}, - "outputs": [], - "source": [ - "from sympy import Max\n", - "\n", - "from epymorph import *\n", - "from epymorph.compartment_model import *\n", - "\n", - "\n", - "def construct_ipm():\n", - " symbols = create_symbols(\n", - " compartments=[\n", - " compartment('S'),\n", - " compartment('I'),\n", - " compartment('R'),\n", - " compartment('V'), # add the vaccinated compartment\n", - " ],\n", - " attributes=[\n", - " param('beta', shape=Shapes.TxN),\n", - " param('gamma', shape=Shapes.TxN),\n", - " param('theta', shape=Shapes.TxN), # add a parameter to simulate the vaccination rate\n", - " ])\n", - "\n", - " [S, I, R, V] = symbols.compartment_symbols\n", - " [β, γ, θ] = symbols.attribute_symbols\n", - "\n", - " # formulate N so as to avoid dividing by zero;\n", - " # this is safe in this instance because if the denominator is zero,\n", - " # the numerator must also be zero\n", - " N = Max(1, S + I + R + V)\n", - "\n", - " return create_model(\n", - " symbols=symbols,\n", - " transitions=[\n", - " edge(S, I, rate=β * S * I / N),\n", - " edge(I, R, rate=γ * I),\n", - " edge(S, V, rate=θ * S), # add an edge for susceptible individuals becoming vaccinated\n", - " ]\n", - " )\n", - "\n", - "\n", - "sirv_ipm = construct_ipm()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Low Theta" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "| | 0% \r" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - "KeyboardInterrupt\n", - "\n" - ] - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sirv_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.45,\n", - " 'gamma': 0.25,\n", - " 'theta': 0.01\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## High Theta" - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.057s\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sirv_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.45,\n", - " 'gamma': 0.25,\n", - " 'theta': 0.05\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 3. Building an SIRV IPM (S goes to V, V goes back to S)\n", - "\n", - "In this update, vaccinated individuals can return to being susceptible\n", - "\n", - "![SIRV-1 model diagram](img/SIRV-1-model.png)\n", - "\n", - "The differential equations for this model are as follows:\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "& \\frac{dS}{dt} = -\\frac{\\beta S I}{N} -\\theta S + \\phi V\\\\\n", - "& \\frac{dI}{dt} = \\frac{\\beta S I}{N} - \\gamma I \\\\\n", - "& \\frac{dR}{dt} = \\gamma I \\\\\n", - "& \\frac{dV}{dt} = \\theta S - \\phi V\\\\\n", - "\\end{aligned}\n", - "$$" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "metadata": {}, - "outputs": [], - "source": [ - "from sympy import Max\n", - "\n", - "from epymorph import *\n", - "from epymorph.compartment_model import *\n", - "\n", - "\n", - "def construct_ipm():\n", - " symbols = create_symbols(\n", - " compartments=[\n", - " compartment('S'),\n", - " compartment('I'),\n", - " compartment('R'),\n", - " compartment('V'),\n", - " ],\n", - " attributes=[\n", - " param('beta', shape=Shapes.TxN),\n", - " param('gamma', shape=Shapes.TxN),\n", - " param('theta', shape=Shapes.TxN),\n", - " param('phi', shape=Shapes.TxN), # add a parameter to simulate the rate at which vaccinated become susceptible\n", - " ])\n", - "\n", - " [S, I, R, V] = symbols.compartment_symbols\n", - " [β, γ, θ, φ] = symbols.attribute_symbols\n", - "\n", - " # formulate N so as to avoid dividing by zero;\n", - " # this is safe in this instance because if the denominator is zero,\n", - " # the numerator must also be zero\n", - " N = Max(1, S + I + R + V)\n", - "\n", - " return create_model(\n", - " symbols=symbols,\n", - " transitions=[\n", - " edge(S, I, rate=β * S * I / N),\n", - " edge(I, R, rate=γ * I),\n", - " edge(S, V, rate=θ * S),\n", - " edge(V, S, rate = φ * V), # add an edge for vaccinated individuals becoming susceptible again\n", - " ]\n", - " )\n", - "\n", - "\n", - "sirv_ipm = construct_ipm()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Low Phi" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.033s\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sirv_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.45,\n", - " 'gamma': 0.25,\n", - " 'theta': 0.025,\n", - " 'phi': 0.005,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## High Phi" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.053s\n" - ] - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAHWCAYAAAD6oMSKAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAACAg0lEQVR4nO3dd3xTVf8H8M/NTveiC0opewsyKqCi0gdERFEUUR5BwQ0q4g8VfcQtQxkqynCAAxRwIIogiAyVXfZGZhkd0JHOzPP74za3DS3QlrRp0s/79coryb0n937vaZp8c84950pCCAEiIiIi8noqTwdARERERO7BxI6IiIjIRzCxIyIiIvIRTOyIiIiIfAQTOyIiIiIfwcSOiIiIyEcwsSMiIiLyEUzsiIiIiHwEEzsiIiIiH8HEjogu66abbsJNN93k6TCuWqNGjXD77bd7OgwiomrFxI6oBsybNw+SJCk3g8GA5s2bY9SoUUhLS/N0eERX7ezZs3j99dexc+dOT4dSIQsWLMD06dPdtr0DBw4o/9vZ2dll1l/8GXCp24kTJ9wWE9VNGk8HQFSXvPnmm0hISEBRURH+/vtvzJw5E7/99hv27t0LPz8/T4dHVGVnz57FG2+8gUaNGqFDhw6eDueKFixYgL1792L06NFu2d4333yD6OhoZGVl4fvvv8cjjzzisv7GG2/E119/Xe5rz5w5g3HjxqFRo0aIjIx0SzxUdzGxI6pBffv2RefOnQEAjzzyCMLDwzF16lT8/PPPuP/++8t9TX5+Pvz9/WsyTKIKs9lscDgcng7Do4QQWLBgAR544AEcP34c8+fPL5PYNW7cGI0bNy7zWrvdjltuuQUajQbffvstf+DRVWNXLJEH3XLLLQCA48ePAwAeeughBAQE4OjRo7jtttsQGBiIIUOGAAAcDgemT5+ONm3awGAwICoqCo8//jiysrKU7d1+++3lfnkAQLdu3ZSkEgDmzp2LW265BZGRkdDr9WjdujVmzpxZobjNZjNee+01NG3aFHq9HnFxcXjhhRdgNptdykmShFGjRmHJkiVo27Yt9Ho92rRpgxUrVpTZ5pkzZzBixAjExsZCr9cjISEBTz75JCwWi1ImOzsbo0ePRlxcHPR6PZo2bYpJkyZVKrFYuXIlOnToAIPBgNatW+PHH39U1h07dgySJGHatGllXrdhwwZIkoRvv/32stsvKirC66+/jubNm8NgMCAmJgZ33303jh49qpTJz8/H888/rxxHixYt8P7770MIUW79LV68GK1bt4bRaES3bt2wZ88eAMDs2bPRtGlTGAwG3HTTTWW68W666Sa0bdsWycnJ6N69O4xGIxISEjBr1iyXchaLBePHj0enTp0QHBwMf39/3HDDDVizZo1LuRMnTkCSJLz//vuYPn06mjRpAr1ej08++QRdunQBADz88MNKt+K8efNc4ti9ezd69uwJPz8/NG3aFN9//z0AYN26dUhMTITRaESLFi3wxx9/lKnXM2fOYPjw4YiKilLeR1988YVLmbVr10KSJCxatAjvvPMOGjRoAIPBgF69euHff/91qZdly5bh5MmTSqyNGjVS1p86dQoHDx681J+4jH/++QcnTpzA4MGDMXjwYKxfvx6nT5+u0GvfeOMNrF+/Hm+//TYSExMrvE+iSxJEVO3mzp0rAIitW7e6LP/ggw8EADFr1iwhhBDDhg0Ter1eNGnSRAwbNkzMmjVLfPXVV0IIIR555BGh0WjEo48+KmbNmiVefPFF4e/vL7p06SIsFosQQoivvvpKABBbtmxx2c+JEycEAPHee+8py7p06SIeeughMW3aNPHRRx+J3r17CwBixowZLq/t2bOn6Nmzp/LcbreL3r17Cz8/PzF69Ggxe/ZsMWrUKKHRaMSdd97p8loA4pprrhExMTHirbfeEtOnTxeNGzcWfn5+4vz580q5M2fOiNjYWGWbs2bNEq+++qpo1aqVyMrKEkIIkZ+fL9q3by/Cw8PFyy+/LGbNmiWGDh0qJEkSzz777BX/BvHx8aJ58+YiJCREvPTSS2Lq1KmiXbt2QqVSiZUrVyrlevToITp16lTm9U899ZQIDAwU+fn5l9yHzWYTvXr1EgDE4MGDxYwZM8SECRPELbfcIpYsWSKEEMLhcIhbbrlFSJIkHnnkETFjxgzRv39/AUCMHj26TP21b99exMXFiYkTJ4qJEyeK4OBg0bBhQzFjxgzRunVrMWXKFPG///1P6HQ6cfPNN7u8vmfPniI2NlZERkaKUaNGiQ8//FBcf/31AoD4/PPPlXIZGRkiJiZGjBkzRsycOVNMnjxZtGjRQmi1WrFjxw6l3PHjxwUA0bp1a9G4cWMxceJEMW3aNHHixAnx5ptvCgDiscceE19//bX4+uuvxdGjR13iiIuLE2PHjhUfffSRaN26tVCr1eK7774T0dHR4vXXXxfTp08X9evXF8HBwcJkMin7TU1NFQ0aNBBxcXHizTffFDNnzhR33HGHACCmTZumlFuzZo0AIDp27Cg6deokpk2bJl5//XXh5+cnunbtqpRbuXKl6NChg4iIiFBi/emnn1zqrTJfj0888YRo0qSJEEKIgoICERAQICZPnnzF161evVqoVCrRp08f4XA4Krw/osthYkdUA5yJ3R9//CEyMjJESkqK+O6770R4eLgwGo3i9OnTQgg5sQMgXnrpJZfX//XXXwKAmD9/vsvyFStWuCzPyckRer1ePP/88y7lJk+eLCRJEidPnlSWFRQUlImzT58+onHjxi7LLk7svv76a6FSqcRff/3lUm7WrFkCgPjnn3+UZQCETqcT//77r7Js165dAoD46KOPlGVDhw4VKpWqTOIrhFC+8N566y3h7+8vDh8+7LL+pZdeEmq1Wpw6darMa0uLj48XAMQPP/ygLMvJyRExMTGiY8eOyrLZs2cLAOLAgQPKMovFIiIiIsSwYcMuu48vvvhCABBTp0695HEsWbJEABBvv/22y/p77rlHSJLkUlcAhF6vF8ePHy8TX3R0tEvyM27cOAHApawzQZkyZYqyzGw2iw4dOojIyEjlB4HNZhNms9klnqysLBEVFSWGDx+uLHMmdkFBQSI9Pd2l/NatWwUAMXfu3DLH7oxjwYIFyrKDBw8KAEKlUolNmzYpy3///fcy2xkxYoSIiYlx+TEghBCDBw8WwcHBynvZmdi1atXK5XicP6D27NmjLOvXr5+Ij48vE2vpeCvCYrGI8PBw8corryjLHnjgAXHNNddc9nVpaWkiJiZGREdHi7S0tArti6gi2BVLVIOSkpJQr149xMXFYfDgwQgICMBPP/2E+vXru5R78sknXZ4vXrwYwcHB+M9//oPz588rt06dOiEgIEDpMgsKCkLfvn2xaNEil269hQsX4rrrrkPDhg2VZUajUXmck5OD8+fPo2fPnjh27BhycnIueQyLFy9Gq1at0LJlS5dYnN3KF3ffJSUloUmTJsrz9u3bIygoCMeOHQMgdzEvWbIE/fv3d+kqdpIkSdnvDTfcgNDQUJf9JiUlwW63Y/369ZeM2Sk2NhZ33XWX8jwoKAhDhw7Fjh07kJqaCgAYNGgQDAYD5s+fr5T7/fffcf78efz3v/+97PZ/+OEHRERE4Omnn77kcfz2229Qq9V45plnXNY///zzEEJg+fLlLst79erl0k3o7K4bOHAgAgMDyyx31quTRqPB448/rjzX6XR4/PHHkZ6ejuTkZACAWq2GTqcDIP89MjMzYbPZ0LlzZ2zfvr3MsQwcOBD16tW7bF1cLCAgAIMHD1aet2jRAiEhIWjVqpVLF+TFxyGEwA8//ID+/ftDCOHyt+/Tpw9ycnLKxPjwww8rxwMAN9xwQ7l1cylr164t0y1+KcuXL8eFCxdczpG9//77sWvXLuzbt6/c1wghMHToUKSlpeHrr7/mgAlyKw6eIKpBH3/8MZo3bw6NRoOoqCi0aNECKpXr7yuNRoMGDRq4LDty5AhycnIu+QWQnp6uPL7vvvuwZMkSbNy4Ed27d8fRo0eRnJxcZmqHf/75B6+99ho2btyIgoICl3U5OTkIDg4ud19HjhzBgQMHLvnFXjoWAC7JpFNoaKhybmBGRgZMJhPatm1b7vZK73f37t0V3m95mjZtqiRYTs2bNwcgnz8WHR2NkJAQ9O/fHwsWLMBbb70FAJg/fz7q16+vJK+XcvToUbRo0QIazaU/Wk+ePInY2FiXpAwAWrVqpawv7eL6c/5d4uLiyl1e+pxLQE5mLx58U/qYr7vuOgDAl19+iSlTpuDgwYOwWq1K2YSEhDLHUN6yK2nQoEGZug8ODr7icWRkZCA7Oxtz5szBnDlzyt32ld5zoaGhLtt0p2+++QYJCQnQ6/XKeXxNmjSBn58f5s+fj3fffbfMayZNmoTff/8d48aNQ1JSkttjorqNiR1RDeratWu5rVKl6fX6Msmew+FAZGSkSytSaaWTnf79+8PPzw+LFi1C9+7dsWjRIqhUKtx7771KmaNHj6JXr15o2bIlpk6diri4OOh0Ovz222+YNm3aZQcjOBwOtGvXDlOnTi13/cVf1Gq1utxyFW0RKb3f//znP3jhhRfKXe9MVtxh6NChWLx4MTZs2IB27dph6dKleOqpp8r8XWrCperPXfUKyMnJQw89hAEDBmDs2LGIjIyEWq3GhAkTXAZ9OJVu7a2oqh6H87343//+F8OGDSu3bPv27Su1TXcxmUz45ZdfUFRUhGbNmpVZv2DBArzzzjsuCe3GjRvx6quvonv37njzzTfdGg8RwMSOyCs0adIEf/zxB3r06HHFL1V/f3/cfvvtWLx4MaZOnYqFCxfihhtuQGxsrFLml19+gdlsxtKlS11aNy7uRr1ULLt27UKvXr3KtMBURb169RAUFIS9e/decb95eXlX1cLx77//QgjhEvfhw4cBwKW789Zbb0W9evUwf/58JCYmoqCgAA8++OAVt9+kSRNs3rwZVqsVWq223DLx8fH4448/kJub69Jq5xyFGR8fX5VDu6SzZ8+WmTLn4mP+/vvv0bhxY/z4448udfPaa69VeD/ueC+Up169eggMDITdbndr65Y74v3xxx9RVFSEmTNnIiIiwmXdoUOH8L///Q///PMPrr/+egByi6HzFIwFCxZctmWXqKp4jh2RFxg0aBDsdrvSNViazWYrM9P9fffdh7Nnz+Kzzz7Drl27cN9997msd7ZolG7ByMnJwdy5cysUy5kzZ/Dpp5+WWVdYWIj8/PyKHJJCpVJhwIAB+OWXX7Bt27Yy650xDho0CBs3bsTvv/9epkx2djZsNtsV93X27Fn89NNPynOTyYSvvvoKHTp0QHR0tLJco9Hg/vvvx6JFizBv3jy0a9euTKtQeQYOHIjz589jxowZlzyO2267DXa7vUyZadOmQZIk9O3b94r7qQybzYbZs2crzy0WC2bPno169eqhU6dOAMp/P2zevBkbN26s8H6ciWN5V124Gmq1GgMHDsQPP/xQbvKfkZFRpe36+/tf8lzSik538s0336Bx48Z44okncM8997jc/u///g8BAQEurezDhw/HqVOn8Pnnn7s9gSdy4s8FIi/Qs2dPPP7445gwYQJ27tyJ3r17Q6vV4siRI1i8eDE++OAD3HPPPUp55xx4//d//6d8MZbWu3dv6HQ69O/fH48//jjy8vLw6aefIjIyEufOnbtsLA8++CAWLVqEJ554AmvWrEGPHj1gt9tx8OBBLFq0CL///vsVu5sv9u6772LlypXo2bMnHnvsMbRq1Qrnzp3D4sWL8ffffyMkJARjx47F0qVLcfvtt+Ohhx5Cp06dkJ+fjz179uD777/HiRMnyrSaXKx58+YYMWIEtm7diqioKHzxxRdIS0srN6EdOnQoPvzwQ6xZswaTJk2q0HEMHToUX331FcaMGYMtW7bghhtuQH5+Pv744w889dRTuPPOO9G/f3/cfPPNeOWVV3DixAlcc801WLlyJX7++WeMHj3aZaCJO8TGxmLSpEk4ceIEmjdvjoULF2Lnzp2YM2eO0qp4++2348cff8Rdd92Ffv364fjx45g1axZat26NvLy8Cu2nSZMmCAkJwaxZsxAYGAh/f38kJiZW6Xy8i02cOBFr1qxBYmIiHn30UbRu3RqZmZnYvn07/vjjD2RmZlZ6m506dcLChQsxZswYdOnSBQEBAejfvz8A+e+4bt26y3bdnj17FmvWrCkzCMZJr9ejT58+WLx4MT788EN8/vnnWLJkCdq3b4+CggJ888035b7uP//5D6Kioip9PESKmh+IS1T3XGoeu4sNGzZM+Pv7X3L9nDlzRKdOnYTRaBSBgYGiXbt24oUXXhBnz54tU3bIkCECgEhKSip3W0uXLhXt27cXBoNBNGrUSEyaNEmZruPiKTNKT3cihDzFw6RJk0SbNm2EXq8XoaGholOnTuKNN94QOTk5SjkAYuTIkWX2HR8fX2bqkJMnT4qhQ4eKevXqCb1eLxo3bixGjhzpMm1Fbm6uGDdunGjatKnQ6XQiIiJCdO/eXbz//vvK1B2XEh8fL/r16yd+//130b59e6HX60XLli3F4sWLL/maNm3aCJVKpUxHUxEFBQXilVdeEQkJCUKr1Yro6Ghxzz33KHO6OY/jueeeE7GxsUKr1YpmzZqJ9957r8xcZuXVn3PKkdJzEgpRMtVH6ePp2bOnaNOmjdi2bZvo1q2bMBgMIj4+vsxchQ6HQ7z77rsiPj5e6PV60bFjR/Hrr7+KYcOGuUwJcql9O/3888+idevWQqPRuExZ4ozjYs6/ycXKO+60tDQxcuRIERcXp9Rrr169xJw5cy5bB6XjLj2FSl5ennjggQdESEiIAOBynBWZ7mTKlCkCgFi9evUly8ybN08AED///LMyldGVbmvWrLnsfomuRBLCzWeTEhH5iI4dOyIsLAyrV6/2dChVctNNN+H8+fNXPH+RiHwHz7EjIirHtm3bsHPnTgwdOtTToRARVRjPsSMiKmXv3r1ITk7GlClTEBMTU2bgCRFRbcYWOyKiUr7//ns8/PDDsFqt+Pbbb2EwGDwdEhFRhfEcOyIiIiIfwRY7IiIiIh/BxI6IiIjIR3DwhJs4HA6cPXsWgYGB1XZpHSIiIqp7hBDIzc1FbGzsFa9ZzcTOTc6ePVvm4udERERE7pKSkoIGDRpctgwTOzdxXsw7JSUFQUFBHo6GiIiIfIXJZEJcXJySa1wOEzs3cXa/BgUFMbEjIiIit6vIqV4cPEFERETkI5jYEREREfkIJnZEREREPoLn2BEREVGtZrfbYbVaPR1GtdFqtVCr1W7ZFhM7IiIiqpWEEEhNTUV2dranQ6l2ISEhiI6Ovuq5cJnYERERUa3kTOoiIyPh5+fnkxcAEEKgoKAA6enpAICYmJir2h4TOyIiIqp17Ha7ktSFh4d7OpxqZTQaAQDp6emIjIy8qm5ZDp4gIiKiWsd5Tp2fn5+HI6kZzuO82nMJmdgRERFRreWL3a/lcddxMrEjIiIi8hFM7IiIiIh8BBM7IiIiIjfLyMjAk08+iYYNG0Kv1yM6Ohp9+vTBP//8U6375ahYIiIiIjcbOHAgLBYLvvzySzRu3BhpaWlYvXo1Lly4UK37ZWLnJc7nmXE0PQ/hATo0jQz0dDhERER0CdnZ2fjrr7+wdu1a9OzZEwAQHx+Prl27Vvu+mdh5iU//OobZ647hoe6N8PodbTwdDhERUY0TQqDQavfIvo1adYVHrgYEBCAgIABLlizBddddB71eX83RlWBi5yUahMiTF57JLvRwJERERJ5RaLWj9fjfPbLv/W/2gZ+uYmmTRqPBvHnz8Oijj2LWrFm49tpr0bNnTwwePBjt27ev1jg5eMJLNAiVJy48k8XEjoiIqLYbOHAgzp49i6VLl+LWW2/F2rVrce2112LevHnVul9JCCGqdQ91hMlkQnBwMHJychAUFOT27R9Oy0XvaesRZNBg9+t93L59IiKi2qSoqAjHjx9HQkICDAYDAO/pir2URx55BKtWrcLJkyfLrCvveJ0qk2OwK9ZL1C/uijUV2WAqsiLIoPVwRERERDVLkqQKd4fWRq1bt8aSJUuqdR/eWzt1jL9eg1A/LbIKrDiTVYigGCZ2REREtdGFCxdw7733Yvjw4Wjfvj0CAwOxbds2TJ48GXfeeWe17puJnRepH2pUErtWMe7v7iUiIqKrFxAQgMTEREybNg1Hjx6F1WpFXFwcHn30Ubz88svVum8mdl6kQYgf9p4xcWQsERFRLabX6zFhwgRMmDChxvfNUbFepH6ofJ7d6awCD0dCREREtRETOy9Sn3PZERER0WUwsfMiDZQWOyZ2REREVJZHEzu73Y5XX30VCQkJMBqNaNKkCd566y2UnlpPCIHx48cjJiYGRqMRSUlJOHLkiMt2MjMzMWTIEAQFBSEkJAQjRoxAXl6eS5ndu3fjhhtugMFgQFxcHCZPnlwmnsWLF6Nly5YwGAxo164dfvvtt+o58CpydsVykmIiIiIqj0cTu0mTJmHmzJmYMWMGDhw4gEmTJmHy5Mn46KOPlDKTJ0/Ghx9+iFmzZmHz5s3w9/dHnz59UFRUpJQZMmQI9u3bh1WrVuHXX3/F+vXr8dhjjynrTSYTevfujfj4eCQnJ+O9997D66+/jjlz5ihlNmzYgPvvvx8jRozAjh07MGDAAAwYMAB79+6tmcqoAOfVJy7kW1Bo8cwEjURERFSLCQ/q16+fGD58uMuyu+++WwwZMkQIIYTD4RDR0dHivffeU9ZnZ2cLvV4vvv32WyGEEPv37xcAxNatW5Uyy5cvF5IkiTNnzgghhPjkk09EaGioMJvNSpkXX3xRtGjRQnk+aNAg0a9fP5dYEhMTxeOPP16hY8nJyREARE5OToXKV1Xb8StE/Iu/iiNppmrdDxERkScVFhaK/fv3i8LCQk+HUiMud7yVyTE82mLXvXt3rF69GocPHwYA7Nq1C3///Tf69u0LADh+/DhSU1ORlJSkvCY4OBiJiYnYuHEjAGDjxo0ICQlB586dlTJJSUlQqVTYvHmzUubGG2+ETqdTyvTp0weHDh1CVlaWUqb0fpxlnPupLerzPDsiIiK6BI/OY/fSSy/BZDKhZcuWUKvVsNvteOeddzBkyBAAQGpqKgAgKirK5XVRUVHKutTUVERGRrqs12g0CAsLcymTkJBQZhvOdaGhoUhNTb3sfi5mNpthNpuV5yaTqVLHXlUNQo04mJrLxI6IiIjK8GiL3aJFizB//nwsWLAA27dvx5dffon3338fX375pSfDqpAJEyYgODhYucXFxdXIfjnlCREREV2KRxO7sWPH4qWXXsLgwYPRrl07PPjgg3juueeUmZqjo6MBAGlpaS6vS0tLU9ZFR0cjPT3dZb3NZkNmZqZLmfK2UXoflyrjXH+xcePGIScnR7mlpKRU+virgiNjiYiI6FI8mtgVFBRApXINQa1Ww+FwAAASEhIQHR2N1atXK+tNJhM2b96Mbt26AQC6deuG7OxsJCcnK2X+/PNPOBwOJCYmKmXWr18Pq9WqlFm1ahVatGiB0NBQpUzp/TjLOPdzMb1ej6CgIJdbTXCOjOXVJ4iIiGqnhx56CAMGDPDIvj2a2PXv3x/vvPMOli1bhhMnTuCnn37C1KlTcddddwEAJEnC6NGj8fbbb2Pp0qXYs2cPhg4ditjYWKXCWrVqhVtvvRWPPvootmzZgn/++QejRo3C4MGDERsbCwB44IEHoNPpMGLECOzbtw8LFy7EBx98gDFjxiixPPvss1ixYgWmTJmCgwcP4vXXX8e2bdswatSoGq+Xy2FXLBEREV2KRwdPfPTRR3j11Vfx1FNPIT09HbGxsXj88ccxfvx4pcwLL7yA/Px8PPbYY8jOzsb111+PFStWwGAwKGXmz5+PUaNGoVevXlCpVBg4cCA+/PBDZX1wcDBWrlyJkSNHolOnToiIiMD48eNd5rrr3r07FixYgP/97394+eWX0axZMyxZsgRt27atmcqoIOfVJ9JMZphtdug1ag9HRERERLWFJESpyzxQlZlMJgQHByMnJ6dau2WFEGg1fgWKrA6s/b+b0CjCv9r2RURE5ClFRUU4fvw4EhISShpzhACsHjoVSesHSFKFij700EPIzs7GkiVLKrz5co+3WGVyDI+22FHlSZKE+iFGHM3Ix5nsQiZ2RERUd1gLgHdjPbPvl88Cutr/nevRc+yoajiAgoiIiMrDFjsvxClPiIioTtL6yS1nntq3F2Bi54Ua8LJiRERUF0mSV3SHehK7Yr2Qc8qT05zyhIiIiEphYueFGrArloiIiMrBrlgv5Bw8kWoqgs3ugEbN/JyIiKi2mDdvnsf2zYzAC9UL0EOnVsHuEEg1FXk6HCIiIqolmNh5IZVKQkyIPHkhB1AQERGRExM7L8Xz7IiIiOhiTOy8lHNk7BmOjCUiIqJiTOy8FK8+QURERBdjYuel2GJHREREF2Ni56Xq8+oTREREdBEmdl7KOXjiXHYRHA7h4WiIiIioNmBi56WigwxQqyRY7A5k5Jk9HQ4RERHVAkzsvJRGrUJ0kHMuOw6gICIiIiZ2Xo3n2REREdU+Dz30ECRJgiRJ0Gq1SEhIwAsvvICiouq/WhSvFevFGoQYsQVM7IiIiGqbW2+9FXPnzoXVakVycjKGDRsGSZIwadKkat0vW+y8mHL1CU55QkREVKvo9XpER0cjLi4OAwYMQFJSElatWlXt+2WLnRdjVywREdUlQggU2jzznWfUGCFJUpVeu3fvXmzYsAHx8fFujqosJnZerH6IfPWJMxw8QUREdUChrRCJCxI9su/ND2yGn9avwuV//fVXBAQEwGazwWw2Q6VSYcaMGdUYoYyJnRcr3RUrhKjyLwkiIiJyr5tvvhkzZ85Efn4+pk2bBo1Gg4EDB1b7fpnYebGYEHm6kyKrAxfyLYgI0Hs4IiIioupj1Bix+YHNHtt3Zfj7+6Np06YAgC+++ALXXHMNPv/8c4wYMaI6wlMwsfNieo0akYF6pOeacSarkIkdERH5NEmSKtUdWluoVCq8/PLLGDNmDB544AEYjZVLEiu1r2rbMtWIBhxAQUREVOvde++9UKvV+Pjjj6t1P0zsvFz90OIBFNkcQEFERFRbaTQajBo1CpMnT0Z+fn617YeJnZdTBlCwxY6IiKhWmDdvHpYsWVJm+UsvvYT09HT4+/tX276Z2Hm5+iHsiiUiIiIZEzsvV59XnyAiIqJiTOy8XFypwRNCCA9HQ0RERJ7ExM7LxRZ3xeaZbTAV2jwcDREREXkSEzsv56fTINxfBwBI4aXFiIiI6jQmdj6Ac9kRERERwMTOJzQIk+eyO80WOyIiojqNiZ0PYIsdERERAUzsfEJc8dUnUjLZYkdERFSXMbHzAXHFXbEcPEFERFS3MbHzAQ04lx0REVGt0L9/f9x6663lrvvrr78gSRJ2795dbftnYucDnJcVK7DYkZlv8XA0REREddeIESOwatUqnD59usy6uXPnonPnzmjfvn217Z+JnQ8waNWIDNQD4AAKIiIiT7r99ttRr149zJs3z2V5Xl4eFi9ejBEjRlTr/jXVunWqMXFhfkjPNSMlqwDXxIV4OhwiIiK3E0JAFHqmAUMyGiFJ0hXLaTQaDB06FPPmzcMrr7yivGbx4sWw2+24//77qzVOJnY+okGoEckns9hiR0REPksUFuLQtZ08su8W25Mh+flVqOzw4cPx3nvvYd26dbjpppsAyN2wAwcORHBwcDVGya5Yn8EpT4iIiGqHli1bonv37vjiiy8AAP/++y/++uuvau+GBdhi5zPiwjhJMRER+TbJaESL7cke23dljBgxAk8//TQ+/vhjzJ07F02aNEHPnj2rKboSTOx8RINQzmVHRES+TZKkCneHetqgQYPw7LPPYsGCBfjqq6/w5JNPVugcvavFxM5HOLtizxTPZVcTbx4iIiIqX0BAAO677z6MGzcOJpMJDz30UI3sl+fY+YiYEANUEmC2OZCRa/Z0OERERHXeiBEjkJWVhT59+iA2NrZG9skWOx+hVasQE2zEmexCpGQVIDLI4OmQiIiI6rRu3brV+BWh2GLnQ0pfWoyIiIjqHiZ2PqQBpzwhIiKq05jY+RBOeUJERFS3MbHzIZzyhIiIqG5jYudD4niOHRER+ZiaHnzgKe46TiZ2PqRBmNxidza7EHZH3fhHICIi36TVagEABQV1oxfKeZzO464qTnfiQ6KDDNCqJVjtAmmmIsSGVO7yJ0RERLWFWq1GSEgI0tPTAQB+fn4+Ofm+EAIFBQVIT09HSEgI1Gr1VW2PiZ0PUaskxIYYcfJCAVIyC5jYERGRV4uOjgYAJbnzZSEhIcrxXg0mdj6mQWhxYpdViERPB0NERHQVJElCTEwMIiMjYbVaPR1OtdFqtVfdUufExM7HNAzzwz+4wLnsiIjIZ6jVarclPr6Ogyd8TFzxAIpTTOyIiIjqHCZ2PqYhEzsiIqI6i12xPiY+zB8AEztfZnPYYLabUWQrQpG9CGabGTZhgxACAgIO4YAQ8r0DDpflyjrn8uLHzuUury9nuUM4XMpcvF1lXUWWQ5TEWfo5HGWWV0RF54Cq6PaIiCqjTXgb3Nn0Tk+HwcTO1zhb7DJyzSiw2OCn45+4NnAIB7LN2ThfeB4XCi8gx5KDQmshCmwFKLAWXPK+0Fbo8rjIXgSbw+bpwyEioov0a9yPiR25X7CfFkEGDUxFNqRkFqJFdKCnQ/J5QghkmbNwJvcMzuSV3M7mnZUTuaILyCrKgl3Y3b5vvVoPvVoPrUoLSZKggkq+l1RQSfKZFs7HEi6/XLmXSp4r2yq1XUmSSraFy5cvLyal3GWWXxxHRVV0jqvKbJOIqCKahzb3dAgAmNj5pPhwf+w5k4NTmQVM7NzIIRw4l38OR7OP4kjWEfyb/S+OZh/FCdMJFNoqdhm3EH0Iwg3hCDGEwF/rDz+NH/y0fvDT+MGoMSqPL743aowwaowwaAwwqA0waAzQqXVKkkZERAQwsfNJDcP8sOdMDk5eyPd0KF4t35qP7WnbsSV1C7anb8e/Wf+iwHbpcxcjjZGoH1gf9QNKbvX86iHcEI5wYzhCDaHQqq7uUjFERESXw8TOBzmnPOFcdpV3POc41p9ej7Upa7EzfSdswvV8No1Kg4TgBDQNboqmoU3RNKQpEoITEBsQC71a75mgiYiIijGx80Hx4ZzypDLO5Z3DsuPL8MvRX3As55jLuvoB9ZEYk4jOUZ3RJrwN4oLi2OpGRES1FhM7H8S57K5MCIG/zvyFr/Z9hS2pW5QpMDQqDTpHdcZNcTfhxgY3Ii4wzsOREhERVRwTOx/kTOxSsgrhcAioVBwB6GRz2LDixAp8sfcLHMk6oizvHNUZdzS5A0nxSQjUccAJERF5JyZ2Pigm2ACNSoLF5kBabhFigo2eDsnj7A47fjv+G2btmoVTuacAAH4aPwxqMQiDWw5G/YD6Ho6QiIjo6jGx80EatQr1Q404eaEApy4U1PnE7s9Tf2Ja8jScMJ0AAITqQ/Fg6wcxqMUgBOuDPRscERGRGzGx81ENw/xw8kIBTmYWILFxuKfD8YisoixM2DwBy08sBwAE64PxUJuH8EDLB+Cn9fNwdERERO7n8dlNz5w5g//+978IDw+H0WhEu3btsG3bNmW9EALjx49HTEwMjEYjkpKScOTIEZdtZGZmYsiQIQgKCkJISAhGjBiBvLw8lzK7d+/GDTfcAIPBgLi4OEyePLlMLIsXL0bLli1hMBjQrl07/Pbbb9Vz0DWgYR2f8uSPk39gwM8DsPzEcqglNUa0HYEVd6/AI+0eYVJHREQ+y6OJXVZWFnr06AGtVovly5dj//79mDJlCkJDQ5UykydPxocffohZs2Zh8+bN8Pf3R58+fVBUVKSUGTJkCPbt24dVq1bh119/xfr16/HYY48p600mE3r37o34+HgkJyfjvffew+uvv445c+YoZTZs2ID7778fI0aMwI4dOzBgwAAMGDAAe/furZnKcLO6OjI2uygbL6x7Ac+tfQ6ZRZloGtIU82+bj9GdRiNAF+Dp8IiIiKqX8KAXX3xRXH/99Zdc73A4RHR0tHjvvfeUZdnZ2UKv14tvv/1WCCHE/v37BQCxdetWpczy5cuFJEnizJkzQgghPvnkExEaGirMZrPLvlu0aKE8HzRokOjXr5/L/hMTE8Xjjz9eoWPJyckRAEROTk6Fyle35XvOivgXfxV3zvjb06HUmD9O/CFu/O5G0XZeW9H+y/ZievJ0YbaZr/xCIiKiWqwyOYZHW+yWLl2Kzp07495770VkZCQ6duyITz/9VFl//PhxpKamIikpSVkWHByMxMREbNy4EQCwceNGhISEoHPnzkqZpKQkqFQqbN68WSlz4403QqfTKWX69OmDQ4cOISsrSylTej/OMs79eJu6dPUJh3Dg/a3vY/Ta0cgsykST4CaYf9t8PHvts9CpdVfeABERkY/waGJ37NgxzJw5E82aNcPvv/+OJ598Es888wy+/PJLAEBqaioAICoqyuV1UVFRyrrU1FRERka6rNdoNAgLC3MpU942Su/jUmWc6y9mNpthMplcbrWJsyv2Qr4FeWbbFUp7L7PdjLHrxuLL/fJ75uG2D2Nh/4VoG9HWw5ERERHVPI+OinU4HOjcuTPeffddAEDHjh2xd+9ezJo1C8OGDfNkaFc0YcIEvPHGG54O45ICDVqE+euQmW/BqQsFaB0b5OmQ3C67KBvPrHkGO9J3QKPS4K0eb+H2xrd7OiwiIiKP8WiLXUxMDFq3bu2yrFWrVjh1Sp5ANjo6GgCQlpbmUiYtLU1ZFx0djfT0dJf1NpsNmZmZLmXK20bpfVyqjHP9xcaNG4ecnBzllpKSUrGDrkFxPjyAIqsoC8NXDseO9B0I1AZidtJsJnVERFTneTSx69GjBw4dOuSy7PDhw4iPjwcAJCQkIDo6GqtXr1bWm0wmbN68Gd26dQMAdOvWDdnZ2UhOTlbK/Pnnn3A4HEhMTFTKrF+/HlarVSmzatUqtGjRQhmB261bN5f9OMs493MxvV6PoKAgl1tt46tTnmQXZePRlY/iSNYR1DPWw1d9v0LXmK6eDouIiMjjPJrYPffcc9i0aRPeffdd/Pvvv1iwYAHmzJmDkSNHAgAkScLo0aPx9ttvY+nSpdizZw+GDh2K2NhYDBgwAIDcwnfrrbfi0UcfxZYtW/DPP/9g1KhRGDx4MGJjYwEADzzwAHQ6HUaMGIF9+/Zh4cKF+OCDDzBmzBgllmeffRYrVqzAlClTcPDgQbz++uvYtm0bRo0aVeP14i7xxYndycx8D0fiPjnmHDy26jEcyjqEcEM4PuvzGZqGNvV0WERERLVDDYzSvaxffvlFtG3bVuj1etGyZUsxZ84cl/UOh0O8+uqrIioqSuj1etGrVy9x6NAhlzIXLlwQ999/vwgICBBBQUHi4YcfFrm5uS5ldu3aJa6//nqh1+tF/fr1xcSJE8vEsmjRItG8eXOh0+lEmzZtxLJlyyp8HLVtuhMhhFi45ZSIf/FX8d/PNnk6FLfIt+SLwb8MFm3ntRU3fnej+DfrX0+HREREVO0qk2NIQgjh6eTSF5hMJgQHByMnJ6fWdMtuPnYB983ZhIZhflj/ws2eDueqOIQDz615Dn+m/IkQfQi+6PMFmoU283RYRERE1a4yOYbHLylG1Schwh8AcDqrABabw8PRXJ3pydPxZ8qf0Kq0+PCWD5nUERERlYOJnQ+rF6iHUauGQ8jJnbf6/vD3mLtvLgDg7R5vo2NkRw9HREREVDsxsfNhkiQhPrx4AMUF70zsdqbvxNub3gYAPNXhKdzW+DYPR0RERFR7MbHzcc7u2OPnvW9kbIG1AC///TLswo5bG92KJ9o/4emQiIiIajUmdj4uPlxO7E5e8L7E7r1t7yElNwUx/jEY3208JEnydEhERES1GhM7H5cQIXfFnvCyrth1Kevw/eHvIUHCO9e/g0BdoKdDIiIiqvWY2Pk4Z4vdCS9qscssysT4DeMBAA+2fhBdort4OCIiIiLvwMTOxzUKd055Ugir3TumPJm4ZSIyizLRNKQpnrn2GU+HQ0RE5DWY2Pm4qCA9DFoV7A6BM1mFng7nijac3YDlx5dDJanwdo+3oVfrPR0SERGR12Bi5+MkSVJa7Y7X8u5Ys92Mdze/CwAY3GIw2kS08XBERERE3oWJXR2gzGVXy6c8+WLPFzhpOol6xnoY1XGUp8MhIiLyOkzs6oBGEc4BFLV3ZOxJ00l8tuczAMALXV7gKFgiIqIqYGJXBzTygpGxk7dOhsVhQffY7ujTqI+nwyEiIvJKTOzqgEbKJMW1s8VuT8YerD+9HmpJjXFdx3EiYiIioipiYlcHNCqepDglswC2WjjlyezdswEA/Rr3Q6PgRp4NhoiIyIsxsasDogIN0GtUsDkEzmTXrilPDlw4gHWn10ElqfBou0c9HQ4REZFXY2JXB6hUUqnz7GpXd6yzta5vQl+21hEREV0lJnZ1hHPKkxO1aMqTQ5mHsPrUakiQ8Fi7xzwdDhERkddjYldHlEx5UnsSuzm75wAA+jTqg8YhjT0cDRERkfdjYldHKF2xtaTF7qTpJFadXAUAeKw9W+uIiIjcgYldHdHIefWJWnKO3Tf7v4GAQM8GPdEstJmnwyEiIvIJTOzqCGdX7KnMAlg9POVJjjkHPx/9GQDwYOsHPRoLERGRL2FiV0fEBBvgr1PD5hAeb7X74cgPKLQVonloc3SN7urRWIiIiHwJE7s6QpIkNIkMAAD8m57rsTisDisWHFgAQG6t41UmiIiI3IeJXR3SVEns8jwWwx8n/0BaQRrCDGHom9DXY3EQERH5IiZ2dYgzsTviwcTum/3fAAAGtxgMvVrvsTiIiIh8ERO7OqRZZCAAz7XY7crYhd3nd0On0mFQi0EeiYGIiMiXMbGrQ5wtdkcz8uBwiBrf/6JDiwDIlw8LN4bX+P6JiIh8HRO7OiQu1AidRoUiqwNnsgtrdN8miwkrT6wEANzT/J4a3TcREVFdwcSuDtGoVWhcPJ/dkRoeGfvbsd9QZC9C05CmuKbeNTW6byIiorqCiV0dowygSKu58+yEEPjhyA8AgIHNBnKKEyIiomrCxK6O8cSUJ/sv7MfBzIPQqXTo36R/je2XiIiormFiV8c4R8bW5JQn3x/5HgCQFJ+EYH1wje2XiIiormFiV8coI2PT8yBE9Y+MLbAW4LdjvwHgoAkiIqLqxsSujmkU4Qe1SkKu2YY0k7na97fixAoU2AoQHxSPzlGdq31/REREdZnbErvs7Gx3bYqqkV6jRny4H4CaOc/u539/BgDc1fQuDpogIiKqZlVK7CZNmoSFCxcqzwcNGoTw8HDUr18fu3btcltwVD2a1nNeWqx6pzxJzU/F9vTtkCChX+N+1bovIiIiqmJiN2vWLMTFxQEAVq1ahVWrVmH58uXo27cvxo4d69YAyf2aRdXMNWOXH18OALg26lpE+0dX676IiIgI0FTlRampqUpi9+uvv2LQoEHo3bs3GjVqhMTERLcGSO5XU1OeOBO72xJuq9b9EBERkaxKLXahoaFISUkBAKxYsQJJSUkA5Ilo7Xa7+6KjauGc8qQ6E7tj2cdwIPMANJIGveN7V9t+iIiIqESVWuzuvvtuPPDAA2jWrBkuXLiAvn37AgB27NiBpk2bujVAcr/G9eTLimXmW3Ahz4zwAL3b9/HbcXmKk+71uyPEEOL27RMREVFZVUrspk2bhkaNGiElJQWTJ09GQIDctXfu3Dk89dRTbg2Q3M9Pp0GDUCNOZxXiSHqe2xM7IYTSDds3oa9bt01ERESXVqXETqvV4v/+7//KLH/uueeuOiCqGS2jA3E6qxCHUnNxXeNwt25734V9OJV7Cga1AbfE3eLWbRMREdGlVTixW7p0aYU3escdd1QpGKo5LaID8ceBdBxMNbl9285u2Jvjboaf1s/t2yciIqLyVTixGzBgQIXKSZLEARReoGV0EADgYKp757ITQuD3E78DYDcsERFRTatwYudwOKozDqphrWLkkbGHUnPhcAioVO65KsSBzANIL0iHUWNE9/rd3bJNIiIiqhheK7aOahTuD51GhQKLHSlZBW7b7vrT6wEA3WK6Qa92/2hbIiIiurQqDZ4AgPz8fKxbtw6nTp2CxWJxWffMM89cdWBUvTRqFZpHBWDvGRMOnMtFfLi/W7brTOx6xvV0y/aIiIio4qqU2O3YsQO33XYbCgoKkJ+fj7CwMJw/fx5+fn6IjIxkYuclWkYHYe8ZEw6mmnBr26u/5Nf5wvPYc34PAOCG+jdc9faIiIiocqrUFfvcc8+hf//+yMrKgtFoxKZNm3Dy5El06tQJ77//vrtjpGrSMlo+z+7gOfcMoPjr9F8AgNbhrVHPr55btklEREQVV6XEbufOnXj++eehUqmgVqthNpsRFxeHyZMn4+WXX3Z3jFRNSkbGumfKE6UbtgG7YYmIiDyhSomdVquFSiW/NDIyEqdOnQIABAcHK9eQpdqvZfHI2JOZBSiw2K5qW1a7FRvObgDAxI6IiMhTqnSOXceOHbF161Y0a9YMPXv2xPjx43H+/Hl8/fXXaNu2rbtjpGoSEaBHRIAe5/PMOJyWhw5xIVXe1ra0bSiwFSDCGIFW4a3cFyQRERFVWJVa7N59913ExMQAAN555x2EhobiySefREZGBubMmePWAKl6OeezO3ju6rpjnd2wNza4ESqJs+gQERF5QpVa7Dp37qw8joyMxIoVK9wWENWsltGB+OvI+au6AoUQAutOrwMA3Fj/RneFRkRERJXEppU6zjmA4sBVtNidMJ1ASm4KtCotrou9zl2hERERUSVVqcUuISEBknTpS1AdO3asygFRzXIOoDiYmgshxGX/rpfy95m/AQCdojrBX+ueiY6JiIio8qqU2I0ePdrludVqxY4dO7BixQqMHTvWHXFRDWkaGQC1SkJOoRVpJjOigw2V3sY/Z/4BAFxf/3p3h0dERESVUKXE7tlnny13+ccff4xt27ZdVUBUs/QaNRpH+ONIeh4OpJoqndgV2YqwLU3+mzOxIyIi8iy3nmPXt29f/PDDD+7cJNWAljFVP89ua+pWmO1mRPtHo3FwY3eHRkRERJXg1sTu+++/R1hYmDs3STWgdXFit+9s5RO7f86WdMNW5fw8IiIicp8qT1Bc+ktcCIHU1FRkZGTgk08+cVtwVDPa1pcTu71ncir9WufAietj2Q1LRETkaVVK7AYMGODyXKVSoV69erjpppvQsmVLd8RFNahtbDAA4OSFAuQUWhFs1FbodSmmFJw0nYRG0iAxJrE6QyQiIqIKqFJi99prr7k7DvKgUH8dGoQacTqrEPvO5qB7k4gKvc7ZDdshsgMCdAHVGSIRERFVQIUTO5Op4udfBQUFVSkY8py2scE4nVWIvWcqntg5u2F71O9RnaERERFRBVU4sQsJCanwyfF2u73KAZFntGsQjBX7UrH3TMUSeIvdgi2pWwBwmhMiIqLaosKJ3Zo1a5THJ06cwEsvvYSHHnoI3bp1AwBs3LgRX375JSZMmOD+KKnata0vn2dX0QEU29O3o9BWiAhjBFqEtqjO0IiIiKiCKpzY9ezZU3n85ptvYurUqbj//vuVZXfccQfatWuHOXPmYNiwYe6Nkqpd21i5+/zY+XzkFlkRaLj8AIoNZzcAALrHduc0J0RERLVEleax27hxIzp37lxmeefOnbFly5arDopqXniAHrHFV53YX4H57Lae2woAuC7mumqNi4iIiCquSoldXFwcPv300zLLP/vsM8TFxV11UOQZzu7YPVfojs215GJ/5n4AQJfoLtUeFxEREVVMlaY7mTZtGgYOHIjly5cjMVGev2zLli04cuQILynmxdrWD8bK/WlXPM8uOS0ZDuFAfFA8ov2jayg6IiIiupIqtdjddtttOHz4MPr374/MzExkZmaif//+OHz4MG677TZ3x0g1pJ1zAMUVumI3n9sMAOga3bXaYyIiIqKKq1KLHSB3x7777rvujIU8zNkVezQjD/lmG/z15b89tqbK59cxsSMiIqpdKtxit3v3bjgcDuXx5W5VMXHiREiShNGjRyvLioqKMHLkSISHhyMgIAADBw5EWlqay+tOnTqFfv36wc/PD5GRkRg7dixsNptLmbVr1+Laa6+FXq9H06ZNMW/evDL7//jjj9GoUSMYDAYkJibWyUEg9QL1iArSQwhg/7nyW+2yirJwKOsQAKBzdNkBNEREROQ5FW6x69ChA1JTUxEZGYkOHTpAkiQIIcqUkySp0hMUb926FbNnz0b79u1dlj/33HNYtmwZFi9ejODgYIwaNQp33303/vlHvpSV3W5Hv379EB0djQ0bNuDcuXMYOnQotFqt0pp4/Phx9OvXD0888QTmz5+P1atX45FHHkFMTAz69OkDAFi4cCHGjBmDWbNmITExEdOnT0efPn1w6NAhREZGVupYvF27+sFIM6Vj75kcdGkUVmb9trRtAICmIU0RYazYFSqIiIioZlS4xe748eOoV6+e8vjYsWM4fvx4mduxY8cqFUBeXh6GDBmCTz/9FKGhocrynJwcfP7555g6dSpuueUWdOrUCXPnzsWGDRuwadMmAMDKlSuxf/9+fPPNN+jQoQP69u2Lt956Cx9//DEsFgsAYNasWUhISMCUKVPQqlUrjBo1Cvfccw+mTZum7Gvq1Kl49NFH8fDDD6N169aYNWsW/Pz88MUXX1TqWHzBlUbGbjknt2RyNCwREVHtU+HELj4+XpmINioqCvHx8Ze8VcbIkSPRr18/JCUluSxPTk6G1Wp1Wd6yZUs0bNgQGzduBCDPp9euXTtERUUpZfr06QOTyYR9+/YpZS7edp8+fZRtWCwWJCcnu5RRqVRISkpSypTHbDbDZDK53HyBcwDFrpTsctc7LyOWGJ1YUyERERFRBVVpVGxkZCSGDRuGVatWKefdVcV3332H7du3l3sZstTUVOh0OoSEhLgsj4qKQmpqqlKmdFLnXO9cd7kyJpMJhYWFOH/+POx2e7llnNsoz4QJExAcHKzcfGX+vmsbyq2mRzPycSHP7LLufOF5HMs5BgkSz68jIiKqhaqU2H355ZcoKCjAnXfeifr162P06NHYtm1bpbaRkpKCZ599FvPnz4fBYKhKGB41btw45OTkKLeUlBRPh+QWof46NI8KAABsPZHlss7ZDdsyrCWC9cE1HhsRERFdXpUSu7vuuguLFy9GWloa3n33Xezfvx/XXXcdmjdvjjfffLNC20hOTkZ6ejquvfZaaDQaaDQarFu3Dh9++CE0Gg2ioqJgsViQnZ3t8rq0tDRER8uT4kZHR5cZJet8fqUyQUFBMBqNiIiIgFqtLreMcxvl0ev1CAoKcrn5iq4J8qCJLcczXZY7u2F5fh0REVHtVKXEzikwMBAPP/wwVq5cid27d8Pf3x9vvPFGhV7bq1cv7NmzBzt37lRunTt3xpAhQ5THWq0Wq1evVl5z6NAhnDp1Ct26dQMAdOvWDXv27EF6erpSZtWqVQgKCkLr1q2VMqW34Szj3IZOp0OnTp1cyjgcDqxevVopU9c4R8NuPeGa2CWnJcvrmdgRERHVSlWeoBiQ55lbunQpFixYgBUrViAqKgpjx46t0GsDAwPRtm1bl2X+/v4IDw9Xlo8YMQJjxoxBWFgYgoKC8PTTT6Nbt2647jr5wvO9e/dG69at8eCDD2Ly5MlITU3F//73P4wcORJ6vR4A8MQTT2DGjBl44YUXMHz4cPz5559YtGgRli1bpux3zJgxGDZsGDp37oyuXbti+vTpyM/Px8MPP3w11eO1nC12+87mIM9sQ4Beg8yiTJwwnQAAdIzs6MHoiIiI6FKqlNj9/vvvWLBgAZYsWQKNRoN77rkHK1euxI033ujW4KZNmwaVSoWBAwfCbDajT58++OSTT5T1arUav/76K5588kl069YN/v7+GDZsmEt3cEJCApYtW4bnnnsOH3zwARo0aIDPPvtMmcMOAO677z5kZGRg/PjxSE1NRYcOHZREtS6KCTYiLsyIlMxCJJ/MQs/m9bAzfScAoElwE55fR0REVEtJorxZhq/Az88Pt99+O4YMGYLbbrsNWq22OmLzKiaTCcHBwcjJyfGJ8+3GLNqJH7efwaibm+L/+rTA1G1TMXffXAxsNhCvd3/d0+ERERHVGZXJMarUYpeWlobAwMAqBUfeITEhDD9uP6MMoNiRvgMAu2GJiIhqswondiaTSckShRCXnZDXF1qs6jrnAIqdp7ORU1SAfRfkCZ+Z2BEREdVeFU7sQkNDce7cOURGRiIkJES5CkVpQogqXSuWap+ECH9EBOhxPs+MXw9ugdVhRbghHHGBvjERMxERkS+qcGL3559/IixMbsVZs2ZNtQVEtYMkSeiaEIrf9qRizUl5/rqOkR3LTeiJiIiodqhwYtezZ89yH5Pv6tooDL/tScWBrN2ABHSI7ODpkIiIiOgyKpzY7d69u8Ibbd++fZWCodqlS0IYAAdyHEcgqYFrI6/1dEhERER0GRVO7Dp06ABJkpTz6C6H59j5hpbRQQgKyoZQF0Cn0qNleEtPh0RERESXUeFLih0/fhzHjh3D8ePH8cMPPyAhIQGffPIJduzYgR07duCTTz5BkyZN8MMPP1RnvFSD1CoJzRpmAADCNE2gVXG+QiIiotqswi128fHxyuN7770XH374IW677TZlWfv27REXF4dXX30VAwYMcGuQ5DnGwBQgGyjMbejpUIiIiOgKKtxiV9qePXuQkJBQZnlCQgL2799/1UFR7XHeeggAcC4tBufzzB6OhoiIiC6nSoldq1atMGHCBFgsFmWZxWLBhAkT0KpVK7cFR56VVZSFM/kpAAB7YRz+OpLh4YiIiIjocqp0SbFZs2ahf//+aNCggTICdvfu3ZAkCb/88otbAyTP2Xt+LwAgUB2DXIcf1h3KwF0dG3g4KiIiIrqUKiV2Xbt2xbFjxzB//nwcPHgQAHDffffhgQcegL+/v1sDJM/Ze0FO7NqEt8VZAOuPnIfDIaBScZJiIiKi2qhKiR0A+Pv747HHHnNnLFTLOFvsbmjYEZv0GmTmW7DnTA6uiQvxbGBERERUriondkeOHMGaNWuQnp4Oh8Phsm78+PFXHRh5lhBCSeza12uHHk3tWLEvFWsPZTCxIyIiqqWqlNh9+umnePLJJxEREYHo6GiXCYslSWJi5wNS81ORWZQJjaRBy7CW6NkiHSv2pWLd4XQ8m9TM0+ERERFROaqU2L399tt455138OKLL7o7HqolnOfXNQ1tCoPGgJ7N6wEAdqZkI7vAghA/nSfDIyIionJUabqTrKws3Hvvve6OhWoRZzds24i2AIDYECOaRwXAIYC1hzjtCRERUW1UpcTu3nvvxcqVK90dC9Ui+87vAwC0DW+rLOvdOhoA8Nuecx6JiYiIiC6vSl2xTZs2xauvvopNmzahXbt20GpdryH6zDPPuCU48gyHcGDfheLELqIksevXPgYz1vyLtYczkFtkRaCB144lIiKqTaqU2M2ZMwcBAQFYt24d1q1b57JOkiQmdl7uhOkE8qx5MKgNaBLSRFneMjoQjev541hGPv44kMbJiomIiGqZKiV2x48fd3ccVIs4u2FbhrWERlXyFpEkCbe3j8WHq49g2e5zTOyIiIhqmQondmPGjMFbb70Ff39/jBkz5pLlJEnClClT3BIcecbFAydKu719DD5cfQTrD59HTqEVwUZ2xxIREdUWFU7sduzYAavVqjy+lNJz2pF3ck51Ul5i1zwqEM0iA3AkPQ9/7E/DwE5stSMiIqotKpzYrVmzptzH5FusdisOXpCv/1teYgfIgyim/3EEy/acY2JHRERUi1RpuhPyXUeyj8DisCBQF4iGgQ3LLXN7+xgAwF9HMpBTYK3J8IiIiOgymNiRC+f5dW3C21yyW71pZCBaRgfCahf4fX9qTYZHREREl8HEjlyUN39defq1k1vtluw4U+0xERERUcUwsSMXlxsRW9pd19aHJAEbjl7AqQsFNREaERERXQETO1IUWAvwb/a/AFwvJVaeBqF+uL5pBABg0baUao+NiIiIroyJHSkOZh6EQzhQz1gPUf5RVyx/X5c4AMD3yadhd4jqDo+IiIiugIkdKZSBExFtKlT+P62jEOqnRaqpCOsPZ1RnaERERFQBTOxIoUxMfIVuWCe9Rq1cVuy7raeqLS4iIiKqGCZ2pHBeI7ZdRLsKv8bZHbv6QDoycs3VEhcRERFVDBM7AgDkmHNwKldudatoVywAtIgORIe4ENgcAj/tOF1d4REREVEFMLEjACWtdXGBcQjWB1fqtc5Wu2+3pHAQBRERkQcxsSMAlT+/rrT+18QiyKDB8fP5WLmPV6IgIiLyFCZ2BKDyI2JLC9BrMKx7IwDAJ2uPQgi22hEREXkCEzsCUNIVe6UrTlzKwz0SYNSqsedMDv46ct6doREREVEFMbEjpOWnIb0wHSpJhVZhraq0jTB/HQZ3lc+1+2Ttv+4Mj4iIiCqIiR0p59c1CWkCP61flbfz6A2NoVVL2HQsE8kns9wVHhEREVUQEzsq6YatwsCJ0mJDjLirY30AwEy22hEREdU4JnaE/Zn7AQCtw1tf9bYe79kEkgT8cSAde8/kXPX2iIiIqOKY2NVxQggcuHAAgHsSuyb1AnDnNbEAgHd/O8ARskRERDWIiV0dl1aQhsyiTKglNZqHNnfLNp/v3QI6tQobjl7A2sMZbtkmERERXRkTuzrO2VrXOKQxDBqDW7YZF+aHYd3jAQATfzvIq1EQERHVECZ2ddyBTDmxq+o0J5cy6uZmCDZqcSgtFz8k8xqyRERENYGJXR23/4L7Bk6UFuynxaibmwIApqw6hEKL3a3bJyIiorKY2NVx7hw4cbEHu8WjfogRaSYzpz8hIiKqAUzs6rDzheeRXpgOCRJahLZw+/YNWjVe6Sd38c5cdxRH0nLdvg8iIiIqwcSuDnN2wzYKbnRVV5y4nL5to3FLy0hY7QIv/7QHDg6kICIiqjZM7Oqw6uyGdZIkCW/e2QZ+OjW2nsjCwm0p1bYvIiKiuo6JXR1WXSNiL9Yg1A9j/iPPkffubweQnltUrfsjIiKqq5jY1WE10WLn9FD3RmhbPwi5RTa88tNeXpGCiIioGjCxq6Oyi7JxNv8sAKBlWMtq359GrcLEu9tDp1Zh1f40fPrXsWrfJxERUV3DxK6O2p8pD5xoGNgQgbrAGtln2/rBeLW/3Do4acUhbD52oUb2S0REVFcwsaujnN2wrcKr9/y6i/03sSHu6lgfdofAqG93IN3E8+2IiIjchYldHeWc6qS6B05cTJIkvHNXW7SICkRGrhlPzt+O3CJrjcZARETkq5jY1VHOEbE1MXDiYn46DWb+91oE6jVIPpmF+2ZvYssdERGRGzCxq4NMFhNScuX55Gq6xc6pcb0ALHj0OkQE6LD/nAl3z9yAoxl5HomFiIjIVzCxq4MOZR4CAMT6xyLEEOKxONo1CMYPT3ZHo3A/nM4qxD0zN2DHqSyPxUNEROTtmNjVQcr5dTU8cKI88eH++P7J7mjfIBhZBVbc/+km/HkwzdNhEREReSUmdnWQM7HzxPl15YkI0OPbR69Dz+b1UGR14NGvkrFoKy89RkREVFlM7OqgmrqUWGX46zX4bFhn3H2tPBXKCz/sxoTfDsBqd3g6NCIiIq/BxK6Oybfm40TOCQC1oyu2NK1ahSn3XoOnbmoCAJi9/hgGzd6IlMwCD0dGRETkHZjY1TGHMg9BQCDSLxIRxghPh1OGJEl44daWmDnkWgQaNNhxKhv9PvwLPySfht3B68sSERFdDhO7OkaZvy6sdpxfdyl928Xgt2duQIe4EJiKbHh+8S7cOn09lu85BwcTPCIionIxsatjatOI2CuJC/PD4ie6YWyfFggyaHAkPQ9Pzt+O2z/6G6sPpEEIJnhERESlMbGrYzx1KbGq0qpVGHlzU/z14i145pamCNBrsP+cCSO+3Ia7PtmA9YczmOAREREVY2JXhxTaCnEs5xiA2jPVSUUFG7UY07sF/nrhZjzRswmMWjV2pmRj6BdbcNuHf2PRthQUWe2eDpOIiMijmNjVIUeyjsAhHAgzhCHSL9LT4VRJqL8OL/VtifUv3IzhPRJg1Kpx4JwJL3y/Gz0m/ok3f9mPnSnZbMUjIqI6SePpAKjmlD6/TpIkD0dzdeoF6jG+f2s806spFm5NwVcbT+JMdiG++Oc4vvjnOOLD/XBbuxgktYpCh7gQqFXefbxEREQV4dEWuwkTJqBLly4IDAxEZGQkBgwYgEOHDrmUKSoqwsiRIxEeHo6AgAAMHDgQaWmul5w6deoU+vXrBz8/P0RGRmLs2LGw2WwuZdauXYtrr70Wer0eTZs2xbx588rE8/HHH6NRo0YwGAxITEzEli1b3H7MnuQtI2IrI8RPh8d7NsG6sTfhs6Gdccc1sTBq1Th5oQAz1x7FwJkb0PWdPzBm0U58n3waZ7ILPR0yERFRtfFoi926deswcuRIdOnSBTabDS+//DJ69+6N/fv3w9/fHwDw3HPPYdmyZVi8eDGCg4MxatQo3H333fjnn38AAHa7Hf369UN0dDQ2bNiAc+fOYejQodBqtXj33XcBAMePH0e/fv3wxBNPYP78+Vi9ejUeeeQRxMTEoE+fPgCAhQsXYsyYMZg1axYSExMxffp09OnTB4cOHUJkpHd2W17swIXixM7Lzq+rCI1ahaTWUUhqHYUCiw2rD6Rj1f40rDmUjgv5Fvy4/Qx+3H4GABAXZkTrmCA0jwpEs6hAxIUaER1sQL0APTRqnp1ARETeSxK16GSkjIwMREZGYt26dbjxxhuRk5ODevXqYcGCBbjnnnsAAAcPHkSrVq2wceNGXHfddVi+fDluv/12nD17FlFRUQCAWbNm4cUXX0RGRgZ0Oh1efPFFLFu2DHv37lX2NXjwYGRnZ2PFihUAgMTERHTp0gUzZswAADgcDsTFxeHpp5/GSy+9dMXYTSYTgoODkZOTg6CgIHdXzVWz2C1IXJAIm8OGFQNXoH5AfU+HVCOsdge2Hs/E+iPnsenYBew5k3PJiY5Vknzd2uhgA6KCDIgOMrg8DvXXItRPh1A/HYw6dQ0fCRER1VWVyTFq1Tl2OTk5AICwsDAAQHJyMqxWK5KSkpQyLVu2RMOGDZXEbuPGjWjXrp2S1AFAnz598OSTT2Lfvn3o2LEjNm7c6LINZ5nRo0cDACwWC5KTkzFu3DhlvUqlQlJSEjZu3Fhdh1ujjmQfgc1hQ5AuCLH+sZ4Op8Zo1Sp0bxqB7k3lq2zkFlmxKyUHh9NycTgtF0fS83A2uxDpuWbYHQLpuWak55oB5Fx2u3qNCqF+OoT4aRHipy1+rENo8fOQ4gQwtPhxiJ8Wfjo1VJIElSRBo5Kg4nl/Nc5ss8NUaIOAnNxLkOCnU8OoVfPvQVRN7A6BIqsdhVY7Ci1218c2R5llhdbi5xY71CoJQUb5czXQoIVOrYJeo4JOo4JWLd/r1CpY7Q7km23IM9uQb7Ehz2xHgdlWvMyOfLMNBVY7/LRqhPrLn81GnRoS5CseSZL8eaCSAJUkwahTw1+vhlErp0lWu0O5WewCVttFz+0ONIsMQK9WUZevjBpQaxI7h8OB0aNHo0ePHmjbti0AIDU1FTqdDiEhIS5lo6KikJqaqpQpndQ51zvXXa6MyWRCYWEhsrKyYLfbyy1z8ODBcuM1m80wm83Kc5PJVMkjrlmlu2G9feDE1Qg0aHF9swhc38z1cmp2h8CFPDNSTUVIzSlCmqkIqaYipJnMSDPJzzPzrcgusMDmEDDbHHJZU1GVY9FrVDAWJxVGrRoGrVp57nzs/ADTqV3v9RqVS+tiRIAOgQat2waJ2OwOXMi3ICPXjAKLHZbiDzGzzQGL3QFr8b1zucXugE590fEUP9aqVRBCwCEAhxBwCAFR/NjuKHnsXO9aFsXPBRwOwC4EMvMtSM0pwrmcQpgKbfJrAEgA/HRq+Os18NOpYbbJH/S5RTZk5luQnmtGTqG13OOVJMBPq4afXgP/4m1o1Co4HAI2h4AEwF8vL/fXaeCvV8NPp0GAXgM/vRoBxcvVKgl5ZhsKLDYUWR1QqySoVXIiX3KvKnmuvmi5WoJBU/I+AOQvFJtDwKbcC1gdDtjspZY5HLDa5XV25+Pie7PNAbPNDrO1+O9X/NzukOvfWc/Ox8oyh/w3KIlTjltT/FyCBHtx/bi8Tgj46zQINmpLbn7yvVGrhs0hfwna7KXjdhQvlx8XWO3ILrAip9CCfLP9ovoqqT/nfm0OAXvx9mzFx2Ur9dz55a0q/vKWJPlvri7193D+4FKr5Xu9RqW8j1WSpHyRW+xCed/bHA5oixMNvUb+fzVo1cr/dqifDqH+WgTotSiw2JBvtiPfYlOuniMA5JttuJBvwYU8M/LMtuI45f/j3CIrcgqtMBVaYbWX/O+U/rupVUCYvx71AvWI8Jd7E0onPFq1ClqNBCGgJD4FFrtS53aHgF6jgp9efj9r1VLx/538vycg31vt8v/e+TwzzufJP4Sd+7HZBXIK5VjzLbbi94lcr+biz4m64K6O9ZnYlTZy5Ejs3bsXf//9t6dDqZAJEybgjTfe8HQYFeZM7LzhihOeoFZJiAwyIDLIgPYNLl1OCIF8ix1Z+RZkF1iRVWBBVoEFOYVWZOXLz7MLLMgqsCK7UE4Es/ItMBXZymxL/sJ1IBvlJxuVJUlAoF4DP93l/62drVWXYnfIH+C+fuU2SZK/vAD5Pt9iR77FjgzPhkVUaWkmMw6c83QUJax2Aau9/HlFDVpVmR9/hjI/blXKc5ujJGnMLZITXIvNUebHpk6tKvPjq+SxBgF6eXsFFnvx57QVZptd+WEp3wOA/EPB2XKYb7ZBJUnFCbIKOnXxY7WzxbDk+bUNQ2u0ni+lViR2o0aNwq+//or169ejQYOSb9Xo6GhYLBZkZ2e7tNqlpaUhOjpaKXPx6FXnqNnSZS4eSZuWloagoCAYjUao1Wqo1epyyzi3cbFx48ZhzJgxynOTyYS4uLhKHnnNcU514ksjYj1BkiQEFP+yjQur+Otsxa1azpYRq92BIqW7wSF3QVzUTeFsKbPYHLDYna1mcgtMkdWOjFy5hTEtpwi5ZhuEAExFtnKTyKpQSUB4gB6Bek1JC4BGBa1agk6jLm49lKBTq6Ap7gpx6Uax2lFklT98VcVdHSqppKtDKvVYJeGi56XKq0rKSwDC/HWIDjYgNtiAYD+d8hqHECgobhEpsNih16jkljS9BqF+OkQG6REZqEewUau0Wgshij+85Q9w52vzzDbY7UJpcXMI+YPe2drhbJXLN5c8zjPb4XAI+QtFp4Feq4LDgeJWkVItSS73juJWNqG0vBVZS7qmnK1KGpVc7xq1Smkxcy5Tq+QvFnl5yb22uJyzJUmvVUGnVhffy62DKkl+vVqSTw1Qq0rqX62S/x52B+SWr+I4rQ6H3GLkEFCrVVBLJa9ztuTlmW3Kl3FOgVV5XGSzQ1vcMlk6Ro1zWfExGXVqhBhLTmFwCOHSEueMw9nKJre0ubYolm7Zk//WpVugSlqPy/xNiluynP9nhRY77ELILeVKC5hKqXNncmG2OWC22pUW0jyzHdnFCUSe2QajVq208GpUJYO0/HRqhPnrEBGgQ4Be/kp2/qgKMMgtn0EGLfRa1UX/P/K9zS5wPt+M87lmZOZblP85Z1zOx0LI2wso/vGnVZecEmKxOeQuTLOtuIXT2TUJqFSSch/mp0NEoA4RAXpoi//nnf/fwUb5tBN/vRoOh9zSbHfI9eZM0vQaFU95qAEeTeyEEHj66afx008/Ye3atUhISHBZ36lTJ2i1WqxevRoDBw4EABw6dAinTp1Ct27dAADdunXDO++8g/T0dGX06qpVqxAUFITWrVsrZX777TeXba9atUrZhk6nQ6dOnbB69WoMGDAAgNw1vHr1aowaNarc2PV6PfR6vXsqoppZHVYczjoMgC12nqIpTn6qi8XmUL48Cy1yQlBVKklCRIAO4QF6n5//T5Ik+OnkL7p6gd7x/0xEdDkeTexGjhyJBQsW4Oeff0ZgYKByTlxwcDCMRiOCg4MxYsQIjBkzBmFhYQgKCsLTTz+Nbt264brrrgMA9O7dG61bt8aDDz6IyZMnIzU1Ff/73/8wcuRIJfF64oknMGPGDLzwwgsYPnw4/vzzTyxatAjLli1TYhkzZgyGDRuGzp07o2vXrpg+fTry8/Px8MMP13zFuNmx7GOwOCwI0AYgLrD2tipS1ek0KtQL1DM5ISKq64QHQT53tMxt7ty5SpnCwkLx1FNPidDQUOHn5yfuuusuce7cOZftnDhxQvTt21cYjUYREREhnn/+eWG1Wl3KrFmzRnTo0EHodDrRuHFjl304ffTRR6Jhw4ZCp9OJrl27ik2bNlX4WHJycgQAkZOTU6k6qAk/HflJtJ3XVjy0/CFPh0JERESVVJkco1bNY+fNavM8du9ufhffHvwWD7Z+EC90ecHT4RAREVElVCbH4DT7dYAvX3GCiIiISjCx83F2hx2HsuTr73JELBERkW9jYufjTphOoNBWCKPGiPigeE+HQ0RERNWIiZ2Pc85f1yK0BdQqXt+UiIjIlzGx83EHMnl+HRERUV3BxM7H8VJiREREdUetuKQYVQ+HcCgtdq3CmNjVNGG3QxQVwVFYCEdhIYTVBggH4HBAOETJY7sDwlwER2ERHEWFgN0OCAEhX4UdgJDLOS9mKASEzQbbhfOwpafDlp4Be3Y2HLkm2E25EEVFUK5yLkmASgUUX/xcfuxcB0hSqecq+XJQ0GigCQ+HJjISmqhIqAMCIOl0kLQ6SHq9/FinhUp5rIOk1UJYrfJxFpUciygyQ1it8rZVKkBSQVLL98XXClOWX+qxpC4uW7xcExICTXQ0NFFRUOl0rnUuhFLnkk4PlZ9R3o67/qZCyMeZn198K5DvC+R7CAdUfn5Q+flB0hsAh11+H9hsgN0OYbND2Esew24rXl/82GaDo6hIqUNIgKTWQNJqIGk0gEZTqeeSViv/ffR6SDq9699NrQbUakClUi6xVqE6cDgAmw0CkOtWrS7zemGzwW4ywZ6TA4fJVPzYBGEukuNUO+MrFbdGKz9Xq+U6DA6GOiRE+Rsr+7XLdQqbDZCkUsetLjeWyvxtUWrbDosForAQjqIiwOEoqUuttuSm0cjvB4sFwmyW/25mC4TFDEd+PuzZ2fL/Zn4+JKMRan9/qPz95XovpjL6QR0WCk14OFSBgcXXO3MAACSDocLHI4SAIzdXjtcZk9UKYbFCWC3yvvz9oQ4IkN+fWq1cbyoVHGZL8fs4X6nX0jdJkgC1GurQUKj8/atcx1QzmNj5sJTcFORb86FX69EkpImnw6kRwm6HIy8P9txc+UslNxf2HJOS9NhNOXCYcuUvmlwTHKZcAJC/FDQaOYGyWiEsFgi7vXi5GpJKrZSRVCoIZznlVupD1JnImc0ero2qsxw96ukQKkTl71+SvDoccBQWJ8ZOkgSVnx/UISHQ1KsHTb16UIcEozirBYQDjoJCJTFzFBQoj4XdLicuGrWcWzuTN5t7rsVbqzgTNJWcRJdO2ITDISemxUmVM+lwUfzFL6nVgCTJPy7cRauV67yiU64WJ3nK/6sziXI4IIrvncmTEEI+LofD9X1TW2g0UAcGQhUUKCe4Lj+I5KRc2KywX8iELTMTsFqrPSRJr4cmIkJJaoXVKid9QUFQBwdD5e8P4ZCTY2GzQ9LpoDIaIBmMUBn0xfcGSEYDVAajvE5vKC5jgMroXC/fC7sd9uwc+bM7L1/+bHbenJ+9FiskrQaq4sRZ5edX/mODAY6CAjnhzsmBo8hcfBFhR8mPaQHAYZd/kBcUwlFYICeypRN6l1tJsq+JCIeuYcNq/xtcCRM7H+bshm0e2hwalQYoygFsFsA/Ald1MdEaJGw2mI8dgz0zS/litWdlwZqWCltqGmwZGbDn5sKRkyPf5+VV/AugBklGo/zP70xCnB/OxR/UpT/IpOJWFKUVTZJKPtCdrWwqFdThYdBGRkITGQl1WBjUQUFQBQZCZTA4r3guf3GVuikfXKU+zOTlpVoGbTbYzl+ALS0NtvR0OAoKij9ELcUtE6U+WM3mkg9Wna7kGAx65UMbGo28T7sdQhS3Qjocro8dcutlmeXCIV+FvtSXsC07C7bUNAiz3CpyWUIorWvWM2fc+zc1GMp8cUiSVJIcFhWV/DBQa1wSDZfHGrXcglVcVvmyMxjlQ7BZ5S9Jq7N1r9Rzm01uAXQ+diZfNqu8vvhHisP59yoqKv//w1n3zmqrbGU4E6SLkl6Vvz9UwUFQBwVDHRQEyWgAbPaSWG3Wss+tNvnL12SS46pssuLcVmWPoRzO97QkSSU/4iyW8gtrtVDpdHIrm14nt8SFhMitjv5+EIVFyntRuS6AEPKxXrgAe3Z2ucdiz8qCPSur4kGr1SVJR6kWRuV/IS9PTsYuplLJ72GNptzPD2GzQRQVQZjN5f4v2YovCVqXBd1+O+q//56nw2Bi58ucI2JbaUOB74cD+5cCDiugDwLCEoDYjsDNrwABkR6OVCaEgPX0aRTu3o2i3XtQuHcvivbtq9Kvf8loVH7pqoOC5cfBQVAHBpUsCwqEKiAQklold5HZbJDUqpIPQrVG7korp/sMak3ZX246+V5lNEJlNMpJjtFYqe4UqhghhNzFZTKVfAEBUPkV/zI3GuSEpviLzJaZBVtGBmznM+AwmZTykiTJf6dyfuFLGk1x15zcQqXy9ytZ7+dX0hLkRZQWquIWaWcLnNIS50yyncctHBcloc5u0+KvDru9VHl7cfIu5C6/wMCSclWJ1eGAIy8PjoKC8pPi4i72kmS2bLe28v8KlPxYggRJVXKagtw1rC6bcDu7qy9Vh1ar/JnhTKCu8v0gbHJC6+waFwJw5Ocp3dnCZis5jcNhLzlVQyXJp05EREAdHl7m9IRy92W1utSVpNfLtyt8TjkKCmC7cAG2jPPye6P4s8/Z9e7IyZGPwdnVrlYVn6LhPDVDPsVAFBUVn3JQWLKusAgOs1np/nYUFUIUFLq2BgYEQNLLp3+onEmrciqIrdQpEvmwF+RD5BfAXiCfMiEKCuSDkCR5eyEhkIzGklNQXH5Mq+TTOIx+UBmNJXV2yZvceqipV++q3gPuwkuKuUltvKTYI0vuxuacI3jt/AXck+ts2ZDg8nvcLwIYMBNo3rvG4rLn5qJo334U7d8P6+kU+Qs3PQOWkyfL/dWq8veHJiZa+VJVBwVDGx0FTVS03FoVXJykBQWVtFpV4MONiIjqBuFwQBQWyj+0vfBHWWVyDLbY+SLTWYjlL+JA/kFArUZruwq4dhjQZQQQ0QLIOgGcPwysnQik7wMW3At0fRz4z5uA1uD2cBxFRSjYuhV569Yj/++/YTlx4pJlJa0W+latYGzbFob27WBs3x66Ro3cegI8ERHVLZJKBcnf39Nh1Agmdr5m/1JgyZM46yiEKa4+NJDQ9Kntrt2tkS3lW7PewB+vA5tnAltmA2d3APd/K5+Dd5UcRUXIW7sOpt9+Q9769WW6U7WxsTC0bQtd4wR59GW9etDGxELfvBlb24iIiKqIiZ0vSd0D/PgYYCvE/rj2ALLRLKwldJc6h05rAPpOBJr2An4YAZzeAnx6CzBkMVCvRaV3L4RA4Y6dyF60CLkrV8rnWhTTREcj4MYbEXDjDTB26gRNaGgVD5KIiIguhYmdryjMAhb+F7AVAk2TcKDVDcDezyt2xYlm/wEeWQ3MvxfIOg589h9g8Hwg4YYK7dqek4Ocpb8ge9EimI8cUZZrY2MR1O82BPXtC32rVhxAQEREVM2Y2PkChwP48XH53LmQeODuT7F/w8sAKjExcUQzObn77gEgZRPw3RDg8XXy6NlyKK1zCxfCtGKFMmebZDAgqG9fhNx7D4wdOzKZIyIiqkFM7HzBX+8DR34HNAbgvq8hjKFVu5SYfzgwbCkw73a5W/b7h4HhvwMavUuxwn37kP7++yjYuElZpm/eHCH3DUJw//5Q15JRwURERHUNEztvl7pXHt0KALdPA2KuQVp+KjKLMqGW1Gge2rxy29PogXvnArOulwdTrBoP9J0EALCmpiJ96lSYlv4CQB7BGtS/P0LvGwRD+/ZsnSMiIvIwJnbezOEAlj0PCDvQqj/Q4QEAJVecaBzSGAZNFaYvCW4A3DUbWDAI2DwLomE35BywIW3iJPnKDgCC+vVDvedGQ9eggdsOh4iIiK4OEztvtutb+Xw4rT9w60Rl8YHM4m7Yip5fV57mfYAez8K66iOce2Ys8s/IbxXDNe0R/b9XYWzX9qpCJyIiIvdjYuetCjKBVa/Kj296UW5lK+a8lFiFRsReRq50A86u/B6OIgFJLaHe6DEIG/6wV87aTUREVBcwsfNWq98ECi4A9VoC1z3lskoZOFHFFjthtSJ9+nRkfv4FAMAQbkNsYib0bYoAJnVERES1Fq/T5I3O7gCS58mP+00F1Fpl1fnC80gvTIcECS3DWlZ607asLJx86GElqQsbNhSNprwIfZANWP0GkLbfHUdARERE1YCJnbcRAlj+EgABtBsENOrhstrZDdsouBH8tH6V2rQ9JwenRoxAYXIyVAEBqP/BB4gaNw5S4gigWR/Abim+soXZXUdDREREbsTEztvs+7F4wIQfkPR6mdVV7Ya15+bi1COPwrz/ANRhYWj07QIE9ektr5Qk4I6PAGMYkLYHWDvhao+CiIiIqgETO29iLQRWvSY/7jEaCK5fpsi+C/sAVG7ghD0vDymPPIqiPXugDglBw3lzoW/WzLVQYBTQ/wP58d/TgZMbq3AAREREVJ2Y2HmTDTOAnBQgqAHQ/ekyq4UQ2HN+DwCgXUS7Cm1SWCw488wzKNy1C6rgYDSc+wUMzS8xqXHrO4AOQwAI4KfHAXNuVY+EiIiIqgETO29hOgf8PVV+/J83AF3Z8+dS81NxvvA81JK6QpcSE0Lg3PjXkL9hIyQ/PzT87DMYWl3hdbdOBIIbAtkngRXjqnIkREREVE2Y2HmLP98CrAVAg65A24HlFtl1fhcAoHlocxg1xitu8vzHnyBnyRJArUaD6dMqNumwIQi4ayYACdjxNXBwWSUOgoiIiKoTEztv0WO0PDL11onyYIZy7MmQu2Hb12t/xc1lL1mC8zNmAACix49HwI03VjyWRteXdAUvfQbIy6j4a4mIiKjaMLHzFvWaA0MWAQ06XbLI7ozdAK6c2BXu3InUV8cDAMIfewyh9w2qfDy3/A+IbAMUnAd+eUaehoWIiIg8iomdj7A6rMo1Yi83cMKano7TTz8DYbUi8D//Qb3Rz1Zthxo9cPccQK0DDv0md8sSERGRRzGx8xGHsw7DbDcjSBeE+KD4css4LBaceeZZ2DIyoGvaBDETJkBSXcVbILqt3HIHyAMpMo9XfVtERER01ZjY+QhnN2y7iHZQSeX/WdPefgeFO3dCFRSEuI8/hjrA/+p33G0U0LA7YMkDljwFOBxXv00iIiKqEiZ2PuJKAydyV69G9qJFgCSh/pT3oYsvv1Wv0lRq4K5ZgNYfOLUB2P2de7ZLRERElcbEzkfsPl/SYncxe14eUt98CwAQPmI4Am64wb07D40Her4gP175KlCY5d7tExERUYUwsfMB2UXZOGk6CaD8xC5j6lTY0tKgbdgQEaNGVU8Q1z0FRLSQR8n++U717IOIiIgui4mdD3BeRiw+KB4hhhCXdQXbtyNrwbcAgJg334TKYKieIDQ6oN/78uNtnwNnd1bPfoiIiOiSmNj5AGdi1z7C9fw6h8WCc/97FQAQfM9A+F+XWL2BJNwItL0HEA5g2fMcSEFERFTDmNj5AGVEbD3XbtjMufNgOXYM6ogIRI0dWzPB9H4b0AUCZ7YB/0yvmX0SERERACZ2Xs8hHMrAidItdtb0dFyYPRsAEPXiC1AHB9dMQEExwK0T5Mdr3gFOb6uZ/RIRERETO2/3b/a/yLXkwqgxokVYC2V5xgcfwFFQAOM11yDo9ttrNqiO/wXa3A04bMD3w4EiU83un4iIqI5iYuflktOSAQAd6nWARqUBABTu24ecH38CAESNewmSJNVsUJIE3D4NCGkIZJ8Elo3htWSJiIhqABM7L+dM7DpFdQIACCGQPmEiIASCbr8dxg4dPBOYMQQY+DkgqYE9i3ktWSIiohrAxM6LCSGwPW07gJLELnflKhRs2wbJYEDk82M8GR4Q1xW45RX58bLngZQtno2HiIjIxzGx82IpuSnIKMyAVqVFu3rtIGw2ZEybBgAIH/4wtDExHo4QQI/ngFb9AbsFWPhfwHTW0xERERH5LCZ2XszZDdsuoh30aj1My5bBcuIE1MHBCBs+wsPRFVOpgAGzgMjWQF6anNxZizwdFRERkU9iYufFtqXJU4l0iuokt9Z9/AkAIOyREVAH+HsyNFf6AGDwfMAQApxJBn4dzcEURERE1YCJnRcrfX5dzs9LYT11CuqwMIQ98ICHIytHWGPg3nnyYIpd3wJ/TfF0RERERD6HiZ2XSs1Pxem801BJKrQPaYPzn8itdeGPPAKVfy1qrSutyc3AbZPlx3++Bez90bPxEBER+Rgmdl7K2VrXMqwlbMtWwnrmDNQREQi9f7CHI7uCLo8A142UH//0BJCy1bPxEBER+RAmdl5qe7qc2HWO6IgLs+RLh0U89ihURqMnw6qY3m8BzfsCdjPw3f1AzhlPR0REROQTmNh5KeeI2O5HNbCePQt1aChCBg3ycFQVpFIDAz8DotoC+RnAogc5UpaIiMgNmNh5oeyibPyb/S8AIOo3OcELuW8QVAaDJ8OqHOdIWWOoPFL2t+c5UpaIiOgqMbHzQs5pTq7Prw9r8k5Ao0Ho/fd7NqiqCG1UfNkxFbDjG2DbF56OiIiIyKsxsfNCm85tAgDcuUMDAAjq3RvaqChPhlR1TXsBvcbLj5e/CBz41bPxEBEReTEmdl5oS+oWBBYINNx0EgAQ+uB/PRzRVeoxGmh7D+Cwyufbbf/K0xERERF5JSZ2XiYtPw3Hc47jPzsByWqDoW1bGDt08HRYV0eSgLtmAx0fBIQDWPq0PIExz7kjIiKqFCZ2XmZL6hao7QK37ZAAAGFDH4QkSR6Oyg3UGuCOj4Abnpefr34T+P1lwOHwbFxERERehImdl9l8bjOu/VcgyGSDOiICgbfe6umQ3EeS5PPt+kyQn2/6BPjpccBm8WxcREREXoKJnRcRQmBL6hbcskvuogy5awBUOp2Ho6oG3Z4C7v4UUGmAPYvkSYwt+Z6OioiIqNZjYudFUnJTUJR6Fh2PyYld8N13eziiatR+EHD/QkDrB/z7B/B5HyDjkKejIiIiqtWY2HmRzambceNeAZUAjJ06QZ+Q4OmQqlezJGDoUsAvHEjbA8zuCWz9nIMqiIiILoGJnRfZfHYTbt4lDyYI8eXWutLiugBPbgCa3ALYCoFlY4BvBwPZKZ6OjIiIqNZhYuclHMKBrC0bEJsFCKMBQbf28XRINScwGhjyA9DnXUCtAw6vAGZ0kadE4cAKIiIiBRM7L3Ek6wg6bc0BAATf1hcqf38PR1TDVCqg20jgsXVAfA+59W71m8DMbsC+JZwWhYiICEzsvMbWY+vR7aB8blnoPfd6OBoPimoNPLQMuGsO4B8JXPgXWDwMmH0jcHAZz78jIqI6jYmdlwj/5yAMVqCwfpj3X2niakkScM19wNPbgJ4vArpAeXDFdw8AMzoDf08DctM8HSUREVGNY2LnJTqrG0PSatFg8DDfuNKEOxiCgZtfBkbvBq4fA+gC5Ba8P14HprYCFj4InNrs6SiJiIhqjCQE+67cwWQyITg4GDk5OQgKCqqWfdiysiBpNFAHBlbL9r2eORfY9xOw/Wvg9JaS5Q26ANc9CTTvC+j8PBcfERFRFVQmx2Bi5yY1kdhRJaTtky9JtnsRYC8eOav1A5r9B2h9J9CsD6AP8GyMREREFcDEzgOY2NVSuWnA1s+AXd8BOadKlmsMQJNecpLXtBfgH+G5GImIiC6DiZ0HMLGr5YQAzu0E9v8s3zKPua4PbwrEXQc06AxEtwMiWwG6OjalDBER1UpM7K7Cxx9/jPfeew+pqam45ppr8NFHH6Fr165XfB0TOy8ihNxVu/9neYqU9H3lFJKAsMZAVJviRK81EBIHBMYAfhHyvHpEREQ1gIldFS1cuBBDhw7FrFmzkJiYiOnTp2Px4sU4dOgQIiMjL/taJnZerCATOL0VOLUROLcLSN0L5KdfurykBgKigMAoOdELjAYCoovvowC/MMAYChjD5JG7ak3NHQsREfkcJnZVlJiYiC5dumDGjBkAAIfDgbi4ODz99NN46aWXLvtaJnY+Ji8dSNsrt+yl7gUyDgCmc0B+BoBK/svogwFjSHGyV3zTBwIavXyJNOWmle81+pLHZW7aK69Xa+XkU6UuvmfrIhGRN6tMjsGmhGIWiwXJyckYN26cskylUiEpKQkbN24sU95sNsNsNivPTSZTjcRJNSQgEgi4BWhyi+tyu01uzcs9Jw/MyD0H5KYCeanF92lAYRZQmA2Yi98T5hz5ln2yxg9D4Uz0VJqSZE9yJnzF8yIq8yOW8/xy665YFpUo664YLrNPl+dERG7SNAm45X+ejoKJndP58+dht9sRFRXlsjwqKgoHDx4sU37ChAl44403aio8qi3UGiAoVr5did0KFOUUJ3oX3cy58jQsdgtgs5Q8tltLPS61zGa+aL0VsF+8zHLpWIQdsNsvX4aIiKouvJmnIwDAxK7Kxo0bhzFjxijPTSYT4uLiPBgR1TpqrTyNSk1NpSKEnOQ5rIDDLidzDkfxvfO5rfixo/i6uqLktfKDUs+ruq74udJjXd66y7yuJvZPRORugdGejgAAEztFREQE1Go10tJcrzGalpaG6Oiyfyy9Xg+9Xl9T4RFdmSQBGh0AnacjISIiD+FZ1cV0Oh06deqE1atXK8scDgdWr16Nbt26eTAyIiIioophi10pY8aMwbBhw9C5c2d07doV06dPR35+Ph5++GFPh0ZERER0RUzsSrnvvvuQkZGB8ePHIzU1FR06dMCKFSvKDKggIiIiqo04j52bcB47IiIiqg6VyTF4jh0RERGRj2BiR0REROQjmNgRERER+QgmdkREREQ+gokdERERkY9gYkdERETkI5jYEREREfkIJnZEREREPoKJHREREZGPYGJHRERE5CN4rVg3cV6ZzWQyeTgSIiIi8iXO3KIiV4FlYucmubm5AIC4uDgPR0JERES+KDc3F8HBwZctI4mKpH90RQ6HA2fPnkVgYCAkSXLLNk0mE+Li4pCSknLFi/76MtYD68CJ9cA6cGI9sA6c6kI9CCGQm5uL2NhYqFSXP4uOLXZuolKp0KBBg2rZdlBQkM++WSuD9cA6cGI9sA6cWA+sAydfr4crtdQ5cfAEERERkY9gYkdERETkI5jY1WJ6vR6vvfYa9Hq9p0PxKNYD68CJ9cA6cGI9sA6cWA+uOHiCiIiIyEewxY6IiIjIRzCxIyIiIvIRTOyIiIiIfAQTu1rs448/RqNGjWAwGJCYmIgtW7Z4OqRqM2HCBHTp0gWBgYGIjIzEgAEDcOjQIZcyRUVFGDlyJMLDwxEQEICBAwciLS3NQxFXv4kTJ0KSJIwePVpZVlfq4MyZM/jvf/+L8PBwGI1GtGvXDtu2bVPWCyEwfvx4xMTEwGg0IikpCUeOHPFgxO5nt9vx6quvIiEhAUajEU2aNMFbb73lckkhX6uH9evXo3///oiNjYUkSViyZInL+oocb2ZmJoYMGYKgoCCEhIRgxIgRyMvLq8GjuHqXqwer1YoXX3wR7dq1g7+/P2JjYzF06FCcPXvWZRveXg9Xei+U9sQTT0CSJEyfPt1lubfXQVUxsaulFi5ciDFjxuC1117D9u3bcc0116BPnz5IT0/3dGjVYt26dRg5ciQ2bdqEVatWwWq1onfv3sjPz1fKPPfcc/jll1+wePFirFu3DmfPnsXdd9/twairz9atWzF79my0b9/eZXldqIOsrCz06NEDWq0Wy5cvx/79+zFlyhSEhoYqZSZPnowPP/wQs2bNwubNm+Hv748+ffqgqKjIg5G716RJkzBz5kzMmDEDBw4cwKRJkzB58mR89NFHShlfq4f8/Hxcc801+Pjjj8tdX5HjHTJkCPbt24dVq1bh119/xfr16/HYY4/V1CG4xeXqoaCgANu3b8err76K7du348cff8ShQ4dwxx13uJTz9nq40nvB6aeffsKmTZsQGxtbZp2310GVCaqVunbtKkaOHKk8t9vtIjY2VkyYMMGDUdWc9PR0AUCsW7dOCCFEdna20Gq1YvHixUqZAwcOCABi48aNngqzWuTm5opmzZqJVatWiZ49e4pnn31WCFF36uDFF18U119//SXXOxwOER0dLd577z1lWXZ2ttDr9eLbb7+tiRBrRL9+/cTw4cNdlt19991iyJAhQgjfrwcA4qefflKeV+R49+/fLwCIrVu3KmWWL18uJEkSZ86cqbHY3enieijPli1bBABx8uRJIYTv1cOl6uD06dOifv36Yu/evSI+Pl5MmzZNWedrdVAZbLGrhSwWC5KTk5GUlKQsU6lUSEpKwsaNGz0YWc3JyckBAISFhQEAkpOTYbVaXeqkZcuWaNiwoc/VyciRI9GvXz+XYwXqTh0sXboUnTt3xr333ovIyEh07NgRn376qbL++PHjSE1NdamH4OBgJCYm+lQ9dO/eHatXr8bhw4cBALt27cLff/+Nvn37Aqg79eBUkePduHEjQkJC0LlzZ6VMUlISVCoVNm/eXOMx15ScnBxIkoSQkBAAdaMeHA4HHnzwQYwdOxZt2rQps74u1MGl8FqxtdD58+dht9sRFRXlsjwqKgoHDx70UFQ1x+FwYPTo0ejRowfatm0LAEhNTYVOp1M+uJyioqKQmprqgSirx3fffYft27dj69atZdbVlTo4duwYZs6ciTFjxuDll1/G1q1b8cwzz0Cn02HYsGHKsZb3/+FL9fDSSy/BZDKhZcuWUKvVsNvteOeddzBkyBAAqDP14FSR401NTUVkZKTLeo1Gg7CwMJ+sE0A+7/bFF1/E/fffr1wntS7Uw6RJk6DRaPDMM8+Uu74u1MGlMLGjWmfkyJHYu3cv/v77b0+HUqNSUlLw7LPPYtWqVTAYDJ4Ox2McDgc6d+6Md999FwDQsWNH7N27F7NmzcKwYcM8HF3NWbRoEebPn48FCxagTZs22LlzJ0aPHo3Y2Ng6VQ90aVarFYMGDYIQAjNnzvR0ODUmOTkZH3zwAbZv3w5JkjwdTq3DrthaKCIiAmq1usxox7S0NERHR3soqpoxatQo/Prrr1izZg0aNGigLI+OjobFYkF2drZLeV+qk+TkZKSnp+Paa6+FRqOBRqPBunXr8OGHH0Kj0SAqKsrn6wAAYmJi0Lp1a5dlrVq1wqlTpwBAOVZf//8YO3YsXnrpJQwePBjt2rXDgw8+iOeeew4TJkwAUHfqwakixxsdHV1mgJnNZkNmZqbP1YkzqTt58iRWrVqltNYBvl8Pf/31F9LT09GwYUPls/LkyZN4/vnn0ahRIwC+XweXw8SuFtLpdOjUqRNWr16tLHM4HFi9ejW6devmwciqjxACo0aNwk8//YQ///wTCQkJLus7deoErVbrUieHDh3CqVOnfKZOevXqhT179mDnzp3KrXPnzhgyZIjy2NfrAAB69OhRZqqbw4cPIz4+HgCQkJCA6Ohol3owmUzYvHmzT9VDQUEBVCrXj2i1Wg2HwwGg7tSDU0WOt1u3bsjOzkZycrJS5s8//4TD4UBiYmKNx1xdnEndkSNH8McffyA8PNxlva/Xw4MPPojdu3e7fFbGxsZi7Nix+P333wH4fh1clqdHb1D5vvvuO6HX68W8efPE/v37xWOPPSZCQkJEamqqp0OrFk8++aQIDg4Wa9euFefOnVNuBQUFSpknnnhCNGzYUPz5559i27Ztolu3bqJbt24ejLr6lR4VK0TdqIMtW7YIjUYj3nnnHXHkyBExf/584efnJ7755hulzMSJE0VISIj4+eefxe7du8Wdd94pEhISRGFhoQcjd69hw4aJ+vXri19//VUcP35c/PjjjyIiIkK88MILShlfq4fc3FyxY8cOsWPHDgFATJ06VezYsUMZ7VmR47311ltFx44dxebNm8Xff/8tmjVrJu6//35PHVKVXK4eLBaLuOOOO0SDBg3Ezp07XT4vzWazsg1vr4crvRcudvGoWCG8vw6qioldLfbRRx+Jhg0bCp1OJ7p27So2bdrk6ZCqDYByb3PnzlXKFBYWiqeeekqEhoYKPz8/cdddd4lz5855LugacHFiV1fq4JdffhFt27YVer1etGzZUsyZM8dlvcPhEK+++qqIiooSer1e9OrVSxw6dMhD0VYPk8kknn32WdGwYUNhMBhE48aNxSuvvOLy5e1r9bBmzZpyPweGDRsmhKjY8V64cEHcf//9IiAgQAQFBYmHH35Y5ObmeuBoqu5y9XD8+PFLfl6uWbNG2Ya318OV3gsXKy+x8/Y6qCpJiFLTmBMRERGR1+I5dkREREQ+gokdERERkY9gYkdERETkI5jYEREREfkIJnZEREREPoKJHREREZGPYGJHRERE5COY2BERERH5CCZ2RERudtNNN2H06NGeDoOI6iAmdkREREQ+gokdERERkY9gYkdEdBXy8/MxdOhQBAQEICYmBlOmTHFZ//XXX6Nz584IDAxEdHQ0HnjgAaSnpwMAhBBo2rQp3n//fZfX7Ny5E5Ik4d9//4UQAq+//joaNmwIvV6P2NhYPPPMMzV2fETkXZjYERFdhbFjx2LdunX4+eefsXLlSqxduxbbt29X1lutVrz11lvYtWsXlixZghMnTuChhx4CAEiShOHDh2Pu3Lku25w7dy5uvPFGNG3aFD/88AOmTZuG2bNn48iRI1iyZAnatWtXk4dIRF5EEkIITwdBROSN8vLyEB4ejm+++Qb33nsvACAzMxMNGjTAY489hunTp5d5zbZt29ClSxfk5uYiICAAZ8+eRcOGDbFhwwZ07doVVqsVsbGxeP/99zFs2DBMnToVs2fPxt69e6HVamv4CInI27DFjoioio4ePQqLxYLExERlWVhYGFq0aKE8T05ORv/+/dGwYUMEBgaiZ8+eAIBTp04BAGJjY9GvXz988cUXAIBffvkFZrNZSRTvvfdeFBYWonHjxnj00Ufx008/wWaz1dQhEpGXYWJHRFRN8vPz0adPHwQFBWH+/PnYunUrfvrpJwCAxWJRyj3yyCP47rvvUFhYiLlz5+K+++6Dn58fACAuLg6HDh3CJ598AqPRiKeeego33ngjrFarR46JiGo3JnZERFXUpEkTaLVabN68WVmWlZWFw4cPAwAOHjyICxcuYOLEibjhhhvQsmVLZeBEabfddhv8/f0xc+ZMrFixAsOHD3dZbzQa0b9/f3z44YdYu3YtNm7ciD179lTvwRGRV9J4OgAiIm8VEBCAESNGYOzYsQgPD0dkZCReeeUVqFTyb+aGDRtCp9Pho48+whNPPIG9e/firbfeKrMdtVqNhx56COPGjUOzZs3QrVs3Zd28efNgt9uRmJgIPz8/fPPNNzAajYiPj6+x4yQi78EWOyKiq/Dee+/hhhtuQP/+/ZGUlITrr78enTp1AgDUq1cP8+bNw+LFi9G6dWtMnDixzNQmTiNGjIDFYsHDDz/ssjwkJASffvopevTogfbt2+OPP/7AL7/8gvDw8Go/NiLyPhwVS0RUC/z111/o1asXUlJSEBUV5elwiMhLMbEjIvIgs9mMjIwMDBs2DNHR0Zg/f76nQyIiL8auWCIiD/r2228RHx+P7OxsTJ482dPhEJGXY4sdERERkY9gix0RERGRj2BiR0REROQjmNgRERER+QgmdkREREQ+gokdERERkY9gYkdERETkI5jYEREREfkIJnZEREREPoKJHREREZGP+H+WcC6ngtSQ/wAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sirv_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.45,\n", - " 'gamma': 0.25,\n", - " 'theta': 0.025,\n", - " 'phi': 0.03,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 4. Building an SIRV IPM (S goes to V, V goes back to S, R goes to S)\n", - "\n", - "In this update, recovered individuals can become susceptible again\n", - "\n", - "![SIRV-2 model diagram](img/SIRV-2-model.png)\n", - "\n", - "The differential equations for this model are as follows:\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "& \\frac{dS}{dt} = -\\frac{\\beta S I}{N} -\\theta S + \\phi V + \\mu R\\\\\n", - "& \\frac{dI}{dt} = \\frac{\\beta S I}{N} - \\gamma I \\\\\n", - "& \\frac{dR}{dt} = \\gamma I - \\mu R\\\\\n", - "& \\frac{dV}{dt} = \\theta S - \\phi V\\\\\n", - "\\end{aligned}\n", - "$$" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "metadata": {}, - "outputs": [], - "source": [ - "from sympy import Max\n", - "\n", - "from epymorph import *\n", - "from epymorph.compartment_model import *\n", - "\n", - "\n", - "def construct_ipm():\n", - " symbols = create_symbols(\n", - " compartments=[\n", - " compartment('S'),\n", - " compartment('I'),\n", - " compartment('R'),\n", - " compartment('V'),\n", - " ],\n", - " attributes=[\n", - " param('beta', shape=Shapes.TxN),\n", - " param('gamma', shape=Shapes.TxN),\n", - " param('theta', shape=Shapes.TxN),\n", - " param('phi', shape=Shapes.TxN),\n", - " param('mu', shape=Shapes.TxN), # add a parameter for the rate at whcih recovered become susceptible again\n", - " ])\n", - "\n", - " [S, I, R, V] = symbols.compartment_symbols\n", - " [β, γ, θ, φ, μ] = symbols.attribute_symbols\n", - "\n", - " # formulate N so as to avoid dividing by zero;\n", - " # this is safe in this instance because if the denominator is zero,\n", - " # the numerator must also be zero\n", - " N = Max(1, S + I + R + V)\n", - "\n", - " return create_model(\n", - " symbols=symbols,\n", - " transitions=[\n", - " edge(S, I, rate=β * S * I / N),\n", - " edge(I, R, rate=γ * I),\n", - " edge(S, V, rate=θ * S),\n", - " edge(R, S, rate=μ * R), # add an edge for recovered indidivudals becoming susceptible again\n", - " edge(V, S, rate = φ * V),\n", - " ]\n", - " )\n", - "\n", - "\n", - "sirv_ipm = construct_ipm()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Low Mu" - ] - }, - { - "cell_type": "code", - "execution_count": 65, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.062s\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sirv_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.45,\n", - " 'gamma': 0.25,\n", - " 'theta': 0.025,\n", - " 'phi': 0.01,\n", - " 'mu': 0.005,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## High Mu" - ] - }, - { - "cell_type": "code", - "execution_count": 72, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.050s\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sirv_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.45,\n", - " 'gamma': 0.25,\n", - " 'theta': 0.025,\n", - " 'phi': 0.01,\n", - " 'mu': 0.05,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 1 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.050s\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph.initializer import single_location\n", - "\n", - "sim = StandardSimulation(\n", - " geo=geo_library['single_pop'](),\n", - " ipm=sirv_ipm,\n", - " mm=mm_library['no'](),\n", - " params={\n", - " 'beta': 0.45,\n", - " 'gamma': 0.25,\n", - " 'theta': 0.025,\n", - " 'phi': 0.01,\n", - " 'mu': 0.05,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000)\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " output = sim.run()\n", - "\n", - "plot_pop(output, pop_idx=0)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/doc/devlog/2024-02-10IM.ipynb b/doc/devlog/2024-02-10IM.ipynb deleted file mode 100644 index 6f2028ca..00000000 --- a/doc/devlog/2024-02-10IM.ipynb +++ /dev/null @@ -1,24 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "name": "python", - "version": "3.12.0" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/doc/devlog/img/SIR-model.png b/doc/devlog/img/SIR-model.png deleted file mode 100644 index ea8e915b4c57bbe26a492195ba2e1a4234266865..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 5082 zcmeHLXHXMZw2q=;Szr+3etpN z0wfR!u|WhOp(7?CNDv4RFoYUNcyZpZ_h#Pv^ZxC;A9wDYJ7?}W_nv#dIp2qJfI=h= zpEwKv03>X#SULd!dy4^pJz@tBh*n}8NsmO+9)uI*G5}3cVvCG@0hg{`0st`CM|QmT zi|j+;S8gHz06DdvV~>r~?>_(l8Muw*CFfXA4kJ1I$y)JSt`u2TDPVrMJW~B$c}*GA z`TWV|iqXBoi%xbsHpZz+_q)9OtTnY<_h|_U)d8I)=C0T3?giSviQ4<;i_wcTRp(0% zP=(M-i|=k~JmgGf1k8cxVJntr=s4u>bh%*3we)7Iqm~g6yCL1wa9Si)xD9moXd8#nw_n+!%qMh0Hl%EKL+P=*ZQ^C6{! z2!i0;N6}{Gh>7;N@q?VJadE8%>R)?{!ghOuBvV9QvQtITr=^xSZ^$&8GXUw>$xuGiiqQsSM(4FZ|Fk*bv`ay@(UN$n$_y!3k(+DS?w!Z3> zPh&Yq7mF_vVMYt+>hXLIE-+ZLJ?O7qArg0Fe;F40huQWxwTs@0DEA^IMQ}Ui$>$o{ zb4?E)JAsJb#cAiC(3Lkfj;l_kh^RqIc@C+>@SC`c*V|LsF%h()7IXcFLCW2@TzIEfZWd{Jd zeWhn^pd1o8KYUgZm2Uv|TwP|GTW2VoGJEkhe@JU?r5nsm53nYM7zp{EAyj=EThYeU zV^&NVEXRu>k2h;Me}lwWq^{+swUF3D&Le1hCx?TCNcLd(?c1}I;_*+~RMQRj4~io{ zzI{*>cHCX37KOdrhLcy~NU2{#@NUZ`6R)MD2jbpBGrqA3eC`Bm3c80CTs%)yNwsOB zTcfOdZ#J3e?=*kAq<+Q4BWlDGVqM_Y67Kzr68QWB3B}W9F94z^;E^!&hS=a~{@Mh+ z^=)wRIFgmt$oHpJjGoKLakIs9Bd=ZbFGH}QG+gWkBc_pvG@dO&`1BR%Nx%c|n^eVg>pZ`p zt z$#L`DlEHTki|6U9{9;u3TO}jL!dYqK+pD+x$vG6sTWi^c9rAx@`nR``*TNv{88Qzu zvQSSg8t)oRt?k~ad;ET-94JuNhfmPw3$F>&#-5&Y(RWXIl#JN>)c|2sWs6tXTuYcL zdEK}S5357b&;-4|m_hXK{l6BA&sAK51h~2RuJZFvwB#}gl{8MuY9G-!)HMU#Si0Wewlq?({C-TLGG z5yjD!*EKb$YxbdhmiXbjhQulv-_`n|==v(+Bszaf(e?vS<0bF!@4{QlEyfyI-O+AC zoOBR3p}ZXaEy*KAvXY&8<*}^}@q#CEZRCL$$dJ=C^q*h09$fibSPT2ZVuoRiiIS~W zRP2>h%Dn+Zpj|?|qe&uft{PkpUnH#82dtWw|7OihOzutK3l)(6OjU$WXQ%G4?UU0Q zkepzND*6g(jE-+uTPSmQK2*ODHy{D3zd#!|IulmhOm8@E7RQ) z=FeT+6DOI6KvgtzQQ1LN=0bO(w=53AGIOv>3ILdXqQ;P_Y&Q(u#oQMq|JhBKJ=l&6D1fOw-R(nV$#sUo=IQJNGI5Y zm+Z!kCtaxv{$1~z*CKjrIwS5xY*c%ZH2mIT$oSlzlOX-k#dV1W&#wafT9KvUi?NKhg ze-^Zq(>%^A947Yw6IH|9-)K$ET>{m_d$+HC1^Rp_9OpC>VmtVJbyK5_-ez52di6t} zzND;t+-*j3Z>FB3(mmT~d&+@j9h6%o{^&!eVrZjS|0Pk1o&wxejK2^G zs=ebMV#06F=N9v(suwW_kPkakJhw8vx+GleP&c;;e+o|4Z!zd}Qn~MsvaWW9?JUc; zmw~@fB#bFg{yXbRq*Du44Fxp{y^_%q7N!(2QWwj9C0_pW)cHcTyV6r8kQu((n8cyC z_)R|o*HHfkZxpa2mSuRp-}zd}UMWj3#i%3ms@e+2#9V_Y2guo3ZAJd#W%rI2A45|Z ztm&Ox8`G6nc(wVZ*BK4T!O?Z}(ams#hdl{Y(oiV-n6gw-{1;PhL9Q=Lyb^g%+Yo;t zy}!2lChdLt#%!h<=#2a$iw@|-(+HX3IyjQKj)Rio3#yxf$i zH<-t-X`AaD8EsEYp=6*`|MdOHv0ZQbl!#b(rjwRgul2O)Ox5_e@+ixoCrCWxqfU}a z^8yy*|EzC!3?}Or!Ocs7GM7blu1c_?`a@_>+$N%}h9-9&h6WXa`?LCoz2@Ydqz zmn%4N#ede;T<%E6?`AqW7D@H%vRt2ru7B;KG!lvoNxzEu5fcjgLF7q~TYr?+(z-}0h#hE-g(e$ zRYgF|e_~#~E6lA89o^=m6`q!qPZEwI=e2F)OK>|3tjc}6Df(lL!5ha6@U?P z-62&LMLycRyW{(PHi+A?bKQ_kPQiEy!?#{8$uo{#516ezzbokG*|Jt@TQMuywCMW2 z)^anPAmVy&fs?dqWkZj|w5RzR7F@|47$ssfDx2WWf@tY@brf%gr8H zd5FpG?P2uiQdg3}R1+LBE{}b9_X9N2DYlDoT=xJxZN6tv{X}?DMs;;6LVOiPb)jTM z4e0Ti>$mJQf}-azh=$F1fgXscS^9wXaw+F*ME9dT5l*FM66v4i*9_J86336@cecM) zn`6NmKxE>^82)8MO+~JP$r}kB?WiY%Tq5)rwtJUXlGRk{>>9*hyjqMNdv5 z;{)9juUc~YuCd;!r^7u@8on@PH|d_CncYrHOY_-Y=YZf7?I9`aKl@ryQ+`xYf3bCm z@vZSYyJvG}T20!8f|4+Z*A24oWv@4wQrO4LU?zHL4<@7wAMS!D+|Qf2x*kpPyI$Hd zokM@HYwPL<#V6kfS1GgiP5QD@%{m?A2IPocGz*9Mf9x+iCDDz*b_p`agMGP6M^|cM-OZIpB$;`t=%>2Hg2l#Lh s6!=Uegp~P4{A;=OzgP8vecTm0-*y1Ec-d7;q{jhlte}?Y%eVgd4}W)Y$^ZZW diff --git a/doc/devlog/img/SIRV-1-model.png b/doc/devlog/img/SIRV-1-model.png deleted file mode 100644 index 553122b7f29738f0905f3adf9d548fbab394b6ff..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 8749 zcmdUVcU05c_UBi8AT0t4 z2oj{%5EYV02Pu&fkOV>}bOHo2xo_Ug`px{-tl!Lf_cv?ikF2b7zI*L+&TeP#&py$A zSi%ncF8@0K00+#jUbz7PyBPqm3-{Yz;f!2WuC4HIm+uYOWq{PKI3*nX;%Q`I1OUYe zqWn9*3dj5IUv=~a0O{j@{&tz&IJN))N4}a}F}fM#I>$Va*y~Q7Tm%JQeqh_8ft9ZD z8kglg$=rXrY4U{U_2)*Bjqi4^oRoakY$ke6Qp-r|>)F|;^rI>ol4LX1ZuZ=>hBTYY z;paS}H*|+%r_$owykU>yk@Lg2ouioZ-&z{ZmQE}?B8NHz{W$hz4z_-)0}rh=M_3B? zwKZqZe+B?P5gWAu;Ft<&7w|U;>;V9XjzR*!)ho_>fJ-VYc>p*hAw2K1sH(ldqbq+6 zsf)aC3D{?HzLwi=S{5h+55Yp7^f`7bMQXQYe9F;_U#rNWt{UCAapRCCdF4jH6`X&M zHOwS5G&JCs!qObQy~q>;cZz)CR0RO*U|| zsKoba;TlrVf`OS7X@-c|a+XV75Ef#Lv$3@u7Xjm1g`YlpuSIAxcgh*sa|Z~2@j3r< zr1!6IT{Ya?8WAYlJ7Y~g!YPKSQ-2>GmPO*v9VKl}{|dhQ^RsNSKo^5@*4};`dj-J#yPoFZ3cg;K}KtGdf6!&R*OoYlc;d)qiNKO(t2$Ojdohdb01H50lr zyk4)fxiTfGmUjPgoZ`iE86itevl*7GS1DDazQ(NYsi3G7`gG;?0(0SR58uz!89O}T zwiIJuV&)~#-A;*6L0E9xPc4oW$xz8QngnZ`*Awwq&78TBST>C+0aKI^l|CKy(o*+? zX`HNtmHy(D01Oy+RGB=1EA}!D_>n~@4*5P-wcbB_Q1?-LZBFI|$8Ii~{k;hs_=@6V z`6nY|aRV(9P|DAcUi-bpq}1d_fnHdf*QMv=rNIBOH^VESDv(kt~uzx z7Hn?tt13!x-Jy$j`MfUA5^xzlJ;1{Fc}dRElW6CzmF3{AqTT|xop+_#8@a1laH!mp zt`e3^tmltw!a6bxvdxn;`mZ;#sIiF8k9J|(FHRhuV1>>Qc)pOh@7=62gyBJ#(uNEC zAF_t?B^R{yhIp+3NpY7%I!`dP4ug?3zq&vV(lZ|3N=sCt<>-F~@kUwl3vH!#i zDh{<@X;86Ef!!7S5`nUH+^_h+$XVClPXCjePY>qg&_1Ob6HeWK3<(W{^hWD0gL&D| zRw`*{CcFQrWt=F~-wmP~u2F6Opte5o)Q$1+@qTqObZ0SPamcsB9ag*krXxf(J% z_9}y|iQg~}D8o@paw?lJR2>MqLmYbkjNRd;kxP!<=}w-vx;F}W5!de-YLXS0BGhCv z2JID5_gw0v!xB5(NNZ+13l+l$Y@Z!^&Nx#s5PWQfnL(e&oy z$B&0kNYTYvb9Ecn^p|H+lD8Tht!;kfbAMDV)o*}vHst5T-jOwKiRmM2g4hEo^J%(+ zDZ_@O<=XI8*%wY?4&}Qu84^p5SQt7Ga!v5qsqYZvC#!5D<-QKCM$!iVL1H;vac3g*-}Ar`GL1TbA4sT*%e&dL1EvAa-jsSZOe zckll~6LFh1K!#pJs04`i!#3<2>|OkAM-jGLYs{?~<(PoVXDV)Q2DH_&)MKvu$*%(-p?G7p+rIn-*S~I7B|ITlIYT)q!$z8}#8kWX0IrrE zZ0#IOPYIfvn*|pJ%@zL&_Wf#twd|*hcC_G?>>>K5Ry-sASaA}<9NB?KJzV2W6>Fpp z^lnzo*;LcxTn-kEi;o1i(-E^)a1DL8K-aCQsvNow6a?tXVh<>_rTT+?gB;U*sY4F+ zVdf$4;3F3@F$q7GzNR>6ZD;Xvi!`DRocVQWP?K&&BPtSQgDr;EI#Yu3@0bU`8ed1O z7H?(_vZtSqW4|v<72kumtcCj*>oYpXU**CQQ29--9sIWwc}=zJ+MRp*EHDr6xSS(v zr0%*Q!RXAala3`-okh2p_;UpYYGKPm?BWMqS-k!ZJ31&M=x?g~^|dPWA6UeZ5us~5 z4<|RKIOVXtW~c$n_$lIR+W2DX2vlZO(*sU{E1jAMF=#eS#EorMg9Ccz7JF*bc43;9 zDb5G2Ohzt{{pe*HL8XxT^Y33Rh&)m`LdrZEe8;3U_^$btq9XdoCgEO94J;fQk!Xe-yvZ#l;#e`cUf3x5b>iT zi=Q(OT>)dpbH@ak8N6>Y+YeFn)IQ&iPkw{u*_?L(u z3yiOCr6Nr?4p<~b^HHb~6uJZDSg9&Kj)vl|wRCLplDV|R5O}TrFOO7INtwT)g15(m zrbj`Id01aWLu7l5xw{ini9ykCuXZ!?+iErtDy=nsH2m3c`;kz@(3#%w z(tf8t%_wf%=>+y>nxdzx?s1QH{DnU9!oUu7ZEyy$`u&W=gjoDbC-0dj34~~F^*^_H zRPP-u?b%37k!QUZJhm4qE0Yw$9(GuN*v%Z&^ZVIb{9x4pJQ}Cme_W-AzIuJ;enJ)SmtL2e%V zzcHaG*Vy&l(b34sZ`TUgp2ADePGC3)Z@kM@{38yEBb7~$~)xp7mu6Ew{+m5oS$y?NOZa>GOF zK2PU^Y;>~AZ_7~q=dp86Me(Dd%bDck88t}fxB>T~*}l3h>5$s{!M`2rIdd|f2J3K; z7sVGZ_fKhC`{IlnkN0AC#JCUkiX9dPgDwH8eXridclIG`S>W)|2wdR6%tIZq?b{j^ z9fk3Zv37L6rjFFoa;Z$?v_b#0?%)&dQJJ*iuhJofzQP6kuDM^I1r_@lwTUG~pj^w3 zpm19uTMm_0fuq3(? zYH$BCJS@p)D@DuaOQ2VpK@hiM9yzu2%+B>3z|Ge>snJZn#T@foBKJdM~ zvWN;5p-(^DDd*WhhNy7YSS8KcSt-!$&gD8~P5Kgi?u$r+;`cKOSNxDuPwxeMI&KGj zfSF%=B0E&%?NK!A7yKp)iG7Hy?6 z3p3}Ukdx0U8V%Smnnl8F5cV4~;d=Bb{4;#uPr4hQN(}RKs#Bf_Rm&khFBsvkws|H| zC#OW+n1ayI!Qnm(CYm9@xD5HWEnM)t=7LsP=QqhT!cyjanCFph8>zU8U*QE}QwnU% z_GUa$ec$ZU7qS7PQBkkfP1=?>%rASGt`KEk<=ze4<8#^B7^bzBlkC6Q0`_!vOiT+2 zNIM@AlotGe$ZM>^u{SPg?HxL+r<#ZkJh}1Ab#cQPh2e?|5Oj2CxN&;zMW9d_VT&n15eNJ0&=5X3$O%C~i2H5Pd?N z6e9wwJeVIDdRn7qZjm?Fd=Y${Lh&Erh`(%VF{m7I1fywt7KsU(F-Xgimk#X}KWFTv z+(B(QYYqG0_3x*a4&ELKtx_>{mbdn0jwLI-!fsT5mmj#5L`y?CuQa!`WDE1#fd)+V zyLZPbgq3rwjApyAau%l4Sx5%S8ctcRFBa)QLX~8QRrwHBi};o8-Y~BUwLZTshB9O2 z@u%S4G4&5sVEKq)IZchi_}7NI9?TU(?2c0PV?k0`^M9?k1324WwT5KqT(axy4O1TrL54Y^cH8i$oWVbH zAtA`{0$%oSFoq4IR^{UV8DJRu2Tnm9O``DKThsM)@(T*sW!;u79w=g0KX(JVXE0vB{AKXTzZc&BW&Gw}*ua3dGbTO-86TzL zQq#zb)N%JM9IU(dK=CNz!9rXhvr z0`+t_MJTV7dqxe-8`ZEYHxu-r*HUr-;OASfhN@vjs}U$TVpUH?Rd6nlS6P#6kdGO? zHKhStA>6TN%2;vzwqZ@xz1HcqEk+N;mzxet?C|PAVf3CHwXpHKpURqwM8|0! zFs!-X7Mf(}jtvtXQQ-237S`*Xt+LRP)A8+4!>uq~#27D`{Bg%cnzPxw{5RH>%gX>DmPmsv^rd(c-dE#oJIp~S zJ`z&-@Sc`woL3rr#4ios`f~_z&GRENrQGa5zf;i?Iu`LQz73nNW>`}>j=-Zm`3G2= zyoG=aWbm6tPh1+H8Hh5#%?C1dZZ+pQuDq?sc~R!lKnT^Ikw`obzk}`nVUgJ z5!OMvef$f7-IQ~CXO}{69Fm%_9YcfSYUVV=r~A$eI@%WdIA2Fe!*IDuZ3wNvynxL^ z{SN%Rbnj`^@Zr@#Vhq}L=K0Ns!{gR+{)^j@srbx)rVZ11hW58)!Xq{vh$Dw{;AVi&{ zDtBx_xmGoBiZMZdQDoofB&tgL#D?~inSc8c4fY-Wnuq&P-rXa#!Kt*6)>rGkwVWahn{U#h)oM*^7k~TCBe~Eqz2$ ziZ1Z+ZdL5nIf-^S`f1lANS7*BiFpn2eOuhrpR0{Uj7wns#(Bw3RUtKo9Ju!Bc#Vrt z4~o{wd1q}M)0LC@2z%y979W#n+EBL-e8=_5IK%XccYut^Pf(3EIZv0*Q*RNE?n!XhDYMj@CUd{-y|es@cl?h??rYpku-7k4 zjoixqvgs|bkLykw>1bBghRKf;*}sEMONyG(CySUe{`ldk{cD1;C;Xj7?1rs>HQh3< z`EkF#kl8Vkw@%F~tN3sm5m-Z81B(}yjbOE%M=ZHFxLu+WtOJ|N9D>@`Fac+xr*X>B zX5$8kHcDLlE`wni*oxlK_6w&3w$d=lx-s~6&#Xgtt*&w%{>jX;Q0YfV-mn_#Ph=8p zGrZgF#}=cpwLq0dI3_Zqw&qk;=uh!{@$%kG?SvbI{kY{WVYn?>%mrL;D}O^^8>TiR2@x? zdL9cU4ZQWm3iGS~gx1WzaJBz$_J%wXw%753K*)g3)>a7cXwA~Ol%5f~)-MY|Iq0wb zK=ij}G(mULeA`dxgMhcm(a1FiZ*T9>fX=r@;SOQ^MY<@xuxW&dcivef5D45qi5!GP z&HfA*`zn``yJq_pFP!}|nI(}(XBnsQX~d2{sfT+$*oamF0QI9eVkgl}&DzyfxxBnQ zyfkmNwzR`g&+encb0zJm5ei;^u~Cvcgf1#6SxW!57f|F$%fnXkubg;F;5*zkJ=Z zaMvSCm~$!o)*xk|z7M$Md5qMrxpBTn55JUE`sesKsUM@m^s|B7bBjC(ye&P%n62ci zLBd#)MD@7kEqKzaS5h-l<^lYUZ8I3 zLwp7fM}oqF0&eP0&&-rc0H5chh3z#E!>JP87VlM56EJs@wCj<9DoOkWr^@xechZgv zC&{do{~%BQ3joIdH|%{jeS|4xyjLvl@kWvLI_-S_3JF46Dk!BNP&`x#t<>bZAy#WVUc6 zWhZ51>EZ{XTp~^jxHQrEKh#mS1$OS|MLJ|CJZew}ZdmdkHKK0vfml||GTN(#RI}xd zWyBQs`}Y<#W(hk*5%39m1A^93M2Kk+4fMNUYirvjY)<7B6?J$3KtPcV%^!yydkza2 zs%nR=Fdj&_RPnQM&Jc`A++31^Ar2F#tX<$8Tc0miJY5sRyA(FGOIY~b#`xz~)$eT1 zly>dRe1C6Vwnijv)H4k@eNGrcgP7jOJ#_y@nv^~DnVEJtcHKPeusGaMeVVJFl#THo zFuL11+lw7n)0>wL5r(xNPU$B}gD-`){-eep85uwGAm(^N2`P@20EN;=gua?vbwgEquu)>oBb$1%fyuWgnjhO z&ZQv3gHJ6%Z-mk%3m)39VJGRdaN<%iSSZ+|LYD=p8)&C2Zz|FE6O7g>_5!*`ux&dV zpWmue)D=7}w=Yxmh(CV=I^PK0--dDF0}AEW5&ytjN$R~JWG^t8HY@$$*L5&vYE@I#hGcz+3vqoDli#$D0j_hGDJYfJ(t0s&>Ase2Bro8P=Vq& zxX%W*k3YI@=MMn6B9gp*peOY zV%lY))RzMa9yedGNGMNFvoxQ$UpzIWfANc+tZ;G0M*Os4JMJj-CH1K?A?pa`)$_PS z?>MID=J4=%Vv^D1QS~Pqv>e(gqz6?}cIMLJUTE$z0y*Q)$+xB30}p3jxXZx`0DrKE zcZ#zB09i8vY@NH32Trx~G`KW!eqeY1 zKmkatjvsl3I0-b`@yiY?Us@p?ta=xypr?Q4EO;V*GCZliCWaV#9W(Bda{d#>8Nkgr z57=UP$dy`LQ5JaXWRHhNt@JBrD}iAfd6d&k*u^YNY0?Hw6-X7231;~ivlkoTflA#v_oyM_s3mlle`mnfK<5%*3V+KWSgXc z=cmj{r|3F-Kv%pz%e{Wu&V(mpI8pEkcFr?CLU~VHGT(;53(WtTkVM9r;cSPy!EK{P zdi?C1X9Ox;45z3G(HQ|%gG83D9DSCbSDrh%Q?Yf*%&Y)E$H_MiF(VyA$Z%DB7>OZ> z^g$8iSY)BBY)`oi0u!5p5sCe+h4>m-C$C(dJ#S%`?Mz8mI_9-7m%a!%y^Vow_p+`S z?YXD)jJ?l8f@41fQ_O{U{GEFjS!BIIBRQ0W1<$@1kpmK!c38;lhLL%^kj5$b_TDMM z5PaDOq$$vq3@&N0dP=w!-{@sl7Kd&0Fm!FHRxMG?;?@vz6x7*G64bED2U4{`e|@Wb z1GdhhVJkB2yCTx<-&$fiNUDvv&*8Kk?ROWj%q^^-t)SX#RYmvaA$1P@kl$s2wWih_ zu~V%Xr>$Evd3dDFQ1fUZA^%rB@i6wq{>`#*;w0x@d^8nXE4spF(Fcb0wld&@+peq0 z*OEr7%ixvGp|rFwS2}SOCD&2fy)xp)b_;ch7yU|HVLmB+mP?Dq#5s;wbQT zt&W)7ZS)cT8}G|hwi~9VrY&s1+odi!Ok!zy!-bh=(^vAIza{H;La0xF*jQR}Yw!14 z7B??Oekx+8(|?WF?yPt`-*qtF>$Wq#Grr2NaF;jT;juC45H!jU z8V%g2U&J~e4m{XPQZhn6L zS@iOl5oG%Xb+wh@4L1kpn*q+Zo1BkW)SihO85uzox-$2inbuSAm(60p(;w$7u7ABM z;K+-lr6b3eol<=u+BQ;?ldORL^6#?eBqrrl!Vjosl>7%f<9w}ax-5XKFKg6;fEs~! zVVj+`t%vJ~W5Cl}QWn>*1?3+^2{_dagEl7XWdLB_An$qVaUN-(e~e`laIly<2IN&8 z=Y9Ed{c0!Y{KJ_9!W0kibo;Eub+e$(*^TK&0bJiN7fP&Aa|rq%8h=`9T*8^03vMDR zeng@FdZ9_fYI)c?+%R-=b8Dinl+yT%wSGQ5l3!ncY35m<-JoNn zT5s~F!p39XTBlgw89oq4td3$(6|T4i)wk{oJ(&X^>@~y@Yp1=n!ayHwS!QUp9L|Va zXD9Ti{E7}4{m--Rw?)%_y2jWIE>{+g3ylQO%a#K)jl}@qdbIxkc>Gwwd+}ej`*#wW zNkhZFunDx6SeI^Rs_f!df(bICxOQj`e`K=Oh2*XlGa*r)qGO*lDm-Ja?=nT>DU%zo5TW+Ruq zm^979-9h4V5xNh3o(FmntL7}uyNG|}e6idUPd(M+ZEi#~$DlaOXrVX5sY!_6f7p<{ zg>NLPH7h{d2T@9~@N$U8N|C&x&zEv;+2camK|X7>GvUfme3K?2R??+CmYXzWWj^2k z>eCZKMPsWthf}wPc9j;tdDa<9({t!$0gD#UUW!_CSgD9Ku1qR9^xo)isei43!3i68 zOP{yr=F-{Hzin;Zu{GOPP+WW-tzfXJBZ@k_IOFkS=WQKgA%Mtxd+^~5C%@)zYw-nl~iTE7l-UsX-bf~ttZ z-KzIg7R}(Tp9FLH8(3s%Vw+w%3dxA93&j$G=}D%L35cqWpBM9dZ&i}sn~3s%vyBXu z%(bOjTwKW3<(imj9bWrA;$g^K|m>)<;b!2JcGy^b4RwG3+goJ>fFJ( zR?6U(?hnI;@&*Z0rO@PkvGB85qrB+96pIf=E~eIiQIeE$%r}e=qr{cq&s=n+$#J4o zTM)sJXi8Cjb%8j`$14vXKHMJIpkSDE3<(6!1^Y?zFeY3rH)J7`!0uL)U0)jN+Sv>1 zt%4KcI8n1JLPu7V;^Stt&R?K(7Bysmhq_}koYJ^7-S`A@g0bs8|$^-@FbETg}`QeXw*laqbU#8)ekEsXz zTUK`Vju4qQ;uFUweY=JLua>>pZpDxc$Mmpo&n13cCqJm}3(ZgR>z6BnUB-DT<|>@A zJW5a}Io;KARK3k;P$$$6p=yQ4hb-pUHiu4nSftHmDgG{-n)~?f;3QXSo9obUdb^Ob z?zvDu&A6&nZrSD2vW3R#|-wr$ggw-aos`liCN-9J&$)Bq%SrtWy?QK@p?Dtq)lewFIs#m z4R+Lf|MA%rLSsc*($LWDiDz{S*)~SR%?b7UHov8|KhSfm-)LBkZ;Yr-O$!TJoM0D6 ze0&Sp;#}9hApRj4US6lU;Xt}phEzg_Lc_|!?;G@F)x$=&8EC~Qbn`96E|}?+^Oc1f z!wQ^CtQ74248nhpKxKSL@?-z3$Rit9e@LFJr5E>%wvej{fx`mwwx`4PYmg^Wll`29 zn>u4AU15{8(O37#0L6y5=G9N8s0y1IpqB}LT2X`{+wn{8v!2%E# z)b_1^;Lda$xYs7qzSmRhHYdcfu6|sf6;I0^?+m}NvyctN{t8xsC*1wn8cLjcO*hM> zT9CdDjKLUUj7?(vth1Jmx>MdGrsjbO7&d&h?O)OO-wPl`W=mRKp{7@ke=5|jWu8xO zpC6`SSM~`jjp#=jA$ScN(ga)M&IPA&b2n+T*Mffo&~oJt?$5L}>!usArID!u-VM8U zgYz9(ieV!GT5ATzhBbfqwa^wQdvDm^;l=gG}WrI!6b^%{k@{7wQEOd0Nko6k4{rb|_ak zk3sXx?G%6b5O3e=5Zt>ILb_8^Kdb8;JD?ZVOpW&qSuJv%beds=1Am0DvUN?Pvs~y~ zD}te4%50k+IwA_8Xet67<~rTo?fRukl?ZKBQ*v6BRl&n`!&NrEQ3=cG9Ur*lQ66_k z=FJVuyzTh9#p)Ckb(^J=1tAKrnr5_uL)_#Q1FoA+!z!SVVRuLQ`iD0T9_%NvB7VDL z=Dj~_IA2wWIQH|9N7iBlAI~Q6n!A?&>s%faq8ffkNFjZD#zv|{D8 zX*qO1;?o7}^dqlbrIXGLPrM{})k!hPsi!gl$HN8gnD`5}FRQhCvom11nO?gF5I!-_?o_uY5ub^6jWrq zYJD>~xj7+nlu)h5%bqi){jl6idv4XEV1LeE+kLugz9Mgn`o!qTL5or%-RWkhaK{@b zz~a`?6Ccw8p{-*5I@HMb;@Waf`$KWCoemkS%+6vwr#LS$)FTp^Y|>XJzkweaZon6L zgsWk;&;^9L2;cKnY0VH34=1D>>GZ{469ggq^EH|qf@|G|=ZaE>z;tWKlLPvws!Oo) zHT4P`v><#igW!}FSh~=WRy5lFhFx4p=C!s|VSmV%moEA|-+E>$ZvpLVqStyM)kEmn+ zijRN)KAW$XHsqe0C3eWs&y_hnTM0DY1ie}(#i8BOg`CKfp5c!TZtjO}1}}U$4_hf7 zbeTtQkNT91eiqd5x6`3aN|7ovM?2gk&3lN_DQw+kb&os)Pv$fPG-@EGhD^+L&R_zA zLS_{%4RHivHij)J(@xx6y(nz@cD<=QatrGj-yle;O{1Osydh=rG&!uq{9u~05$lEH z!zu|}CW>dPx4s-LBrl7i^%zxx@ZLn1DILmf30uGVi_w%$7dJ;8|HZNQGb>IPa>g0+ zQMCkcaY+qE>mOkQa>6bQrJ5;|PddU-?>J5P&DRa%X{tbwcm%8AL5MG8?5k5V(c2^W z0;hAMM*{qfPa7UBf3&;Pm9W6p?b3J2H;wcoF{HxB$S>-pvlCUdNObhee3bU$FAvG( z3C9o53NNVn1!as*NF@+PE~67K)vJfj`2&sF`YdOiLUi$6G4>Pt-yxPMrx-&{0;bCT zRAX3sgc@v>92CE{*ZCgeeUrf$t@Sr1sQac1;I++!>-^KDHkK?fW}i65%1hqsR$3fn zi!M~FztUBayX%4&;(8_XnH_{;Zlz|v*6tX48l~1{r|ml&Cj)Oe1I4XYP;Imy?Q}FZ zEJns|h)$n;th(wlUO?d$Gf#*Jn{*HA;*SYEq}Gd$yB!I5yE3;^;5XRTG@_V*9ak7w zZ49(*hS?oi3u0x94L+=?gL>g+dh~Xdnt~NXeCq6oEtdA_IT^QtHwwLA6pqQ{r|H7s zXG}gB4BO;0$$cS6sI@#YZ>z4kn*-WrP*5IE8n<*q-W68ebik`0Uu%kd=-U1>HX1(3 zxpQ|vA-b;SolT<19TECb>L15>^X@rL>2B=SZ4C5s?S`%noQKVFeNyey6Cw7|yP{1P z8}P0)<#p<1g9nT7*SAF_i+U5%n3VM-3M2&T*mQ`@CTw&^jwcT>5ao?m3F@sox?7Oj*ypO(40TjAgq^!MH?zbBpqGb4bM#Jav2e@k zw=b;{7Kl!$OxMza?QbbAOIx$BuP@kf0ysR6QU`v3nI)v$@-W3w7`~U>+URC*v$$J@ zux=Z)?*@C=`vSJ~gSzSf=A(k&Go54-6O{)9{Wo*OcA&BEwJK{qUS@&Vf`0@xA<~7aF#awA*KUkF zyrZ*|ZB6H7qxPW>N>+I~jQBwL#v&D^&<)SwM1QV%X^RD&?nghZDoaW7uG=%jqf-O%wh@{{mqe&`A+>`G&w%{@z}Dyv@D-UsocjU?tBAw*a1+1?ttA-}Z=%2-8YTxydwfPF%1#;Y>I>cIw~ZcrCExL;6iz(viuL zM#u)#H)*7seSrrM2d};Vh#-FNsqhWA_BJak%N9)O-)`C4+Sv*HPYgn>r=MS+N1p#L za=)MT8vaXdI?#3yo~u93cAo7< zaVO+kKV*L`Ll<5H@_kQL2TPp4ty81me*u$5S^f;q<@WUr2P<`7StVmReo0_Qt#5-PXzrnFpKT7>NA5 zf2>XGgy1-4OS4fz7&)Up{ANa@eM;m6DzYENJ-*5UJmoSK%89(iC)wg?6a1RbU(CxZ zdquxn(*Fb|R#25Z^xh{M3_8d;M@@?nY$e4kRw9g&(Ag^Q!>Bm#K14a6t9`4&87-&+ z^V4bUsBlP=LB%OY;b?kJyuH3w_MXXC^>Uqq&xr3u!mCUNIzGgCh}WsNC~tixT)NK3 zZi6cpJ(wQ*+3%gd9I>ptvAd%ACp?TnS*8x+Iuc{DYW;)%0D#7lgkxP3w&A9}yTxcR zIf|%2wR5az)+K4|^uAAfCy|I%qj;@9!#hH%t4p@@nn&v?wG0Wg zeNbT4wM5UH!Ks>@X7_uuYSyC|pX_hVlbXfVHuqb|WSi~Gq&rT|)>O5UyHKAlnHnO< zV#_tPm@xRIq2#skj+x0d(&0m9x zJyp@Tde%X*^ubF!_kT@%*u!P-N$y4r1B3R`b4$L*bG5~AeQrbH+I6if80TnlhoG6Bd4d?BH8haE&iN@N~M2<5*Yrz%3n} zQg!;7+pm`l-F7cEY<>TvlI0A|_Ojxu-m~U5?~TJ2Z5KbQHrYUla7+dk4QpL$Ij1Ai zjdTcJvJp6}rNeItRTmBMi*2F`O*!{g@pAk9)ufFH!omo|Nuai-2Ah4#mGBV(V#stU z=rGF@ACP{%NQ-%`awT=AKrxGeWuHX80Z+pVyMfdQ5>%+z?jXxG@O|CuiHO22laf@6jN1IoV%UK(o`!pQYXUJj&vpIkJsy}quld8c zjNNwW0Wg<>NV6nm4}lilW?##T?%XNU`*ZML3C5mf?Y#GL7Ne==c@7)Wx&>aM$@U&Q~95xZde{B1%P0I31Iu*6JB+XUWH7hB+m$c|qCccCF)u;BHJr zN`g7Yao>+rVd^$Cz3X|gwMKry0U4h7tsJig54|ZE_HY+-V0-(F&N=C+eII)&0Bl7p zJ&SmWoTjlT{%G=ab#V9eIzNtu4B+R%eAjv0(Nh{SeZCX zuXF7z6C7xyCVvRTBw4ju@hMc|aMW?`z!@=aYnoN+)7B+Cf1xgC!pd5>w0-#A`qF0% zXTT8w{h zN;u1wB7r2 zMgJCLH~{_PO7?#Rony?ELDXYNiZ|;u(!&AZhor@rt5fi7l%UFk>t(hTXVK%znJj}we5#wyT%)Z8j<4F=+iNt5gYuh%#aKak9U-1T z%)gpIcwdkl4-(B+t*oqI<&HHuy&nA@m~Mx#z2OccP|7p8>P;^2#Har=xg-_QnvgO% z0k?EOZIX5;JN%H|VP&pcJqxo63=9;x3o#kTH;x1PA;terdYy^7fy+|!&No7d(e5n&%B;c7@-YT;&9m=)gBejWKAruF}|pM(5wzgK~eKsOQ%j70g2+?@9) z?K`yHkvlko$vy$15(MjbrABi^Mn1flXZVNrl*8d2w--?F>yF@qdciQxZm8iVtpNFD~lv zn=cZR@Ub%CEfVG~TLbGDP#zuvy*2d@W0#$~aHYuK<-$`?lg(s9d8b#XQghS<`N~%? z)Go0`9bFSYa!fP@WrH&pn?Zy@*i z#j17V%>ypAMW0IWn{K%3@9z&e0(^dTv`f*GEA{qTE0f`gQkCyP(6!%U>gYub|JyDSO^>g-z|OiDM%dxndXUC0*xCeQn6XYOZz;)OY3Zko#aQ z`Y{YtsBho7g9X)`#(=!`ENtCEDUYjx`o<-#aO!6g=|JNews*YQ^3ytde*%jml`Qis z;P+pjGuH||8S5H7PaNhTRMexeS7=Eh@Z2Du^kg0o))Vz5B+#)exSU*Ye|4EVeKr2( zgy)*XZol5&01HkK5NL+O$^*HwA_%`nCm(HsBL1g8EUtIU95d|Aq-j3snHlw~8`J?o z&@}IPh9AsuZ)qtL%C~*)Vd+#BH<0I07jF|M8&?{frfEZB1;!v?h5m0ZQvP#=+W*s| zuU+*vfE03+mX#&$t&T3*zbyep)`6+1*H9MVqZIh4;FJCv?_bc9!}IrZwEs_m>g-vD a-qk0LjbrI2?}Ak|V0_igu>A79Xa5Z%iF$ni diff --git a/doc/devlog/img/SIRV-model.png b/doc/devlog/img/SIRV-model.png deleted file mode 100644 index b04bc4e59cb1f8d3d10f91741cbdd80c4c413e07..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 7882 zcmeHsX;4$y+vi0au|-@OL1b+=6cK5p2_O(`1tKb&%9gMQVc#PVc4EsYJ7~LrK|sS! z2oS=)MH>hT0gOl>Y(YYRgnbQ=?M=@+AEs(POij(drt1CIe7JS$KIh)&-gBPiJkRf! zY;6gVIwXGx001fTTPF7aU>^qBKL7xq zDamsa7v29Ha?3Fk0A$bqbBUSXJGTk|%C6=ne>{kES(=CodBvQVUsLG@S(jXkzBuqc z;r{(kCu5~`@?OK(rO8r8R?M7$ToWu_%QK{QV3#SM(V&fEvWkVNjQkcdJ_9x*( z>HVsw25MusAB5CSV0;4F)rAJxp&B6?B8hUZ5D>TK58d{=i{5 zYvG1e;Q%^_BoW*_?Pz6UfgHgvv`=Cq&QM0nkEDooD8R!k3`031axS*YM%>&}C!GxR ziwB$)!&iol4~nx|==|kwq!${k?QOZq9#Y@iTDaiy0XVUNu57BIcULKg#M(NoZg|&t zD<1b&L79NOynV8`=`05Es?76m-@c7hyWQmHUpzE4CaKyTF1?c4)hFN+;hXZ0%+vIV zs8`E*7Bbo8<>ir_iHL$bSyyO>yF8Xg>(;V}yz>U5^}(?W1$+RlW>2^ChRa|MQ!`4( zFsSz^Q42g<|ALt9FxZ95riKarvgcO@j6)`#Wwg1^zqaq{>R!pQIPr#u?q4Y!9vbr0 z_N^I2KaS(NC^ihZ9Mg^mgGq<687>mP$H8FIsVgc9b5<1yOLg(GBBi&*>sjBw^rA-g z-^$UM_1&th1i_U;qrKIxQKRHUsjx`$EnO@TO8eaoPq#mN$P*q}uObi@8=;|JFu z@n8q()DmX}cyL^?o3<~J-N-IpfoutKz_*=47HeyqH7971E_aF9ym7mH-SIfOUg^r$ z#z+rS(3)TCI%=uzoys%oTe}^ z(C_N3uU*MquCv()>NstX=@V!wp#uJ00hi3JY`?q=T}KA^@Z=jaL7nJfFVc6loPi=5 z=T4wo<}>#fbjP>9x!oY3Zj*&}`9ix~h)UdpiW`4c7w23`KHI**Z`@g34C#Bfv!-Fm z7^9i^t6$Rhy8cpS$9uYd1B>Bh2XMBs*XMO-n)~Q)!lyVGD^9>+@u>`h<(-iXvMzDA zZ_i)9|DC?}5#!diM3sv_Q8%eaQa%j3)a^#I2`I(;s3oj8QdQ)&kBnD`>Bok+o{1W) zNGB&=#|MPTkGv~4U-*u{@C_rK^6p%T=d|nvQ}o%T1vURYW;I5tuC=3>#R2K8VY>1_ z;{&GUStx9*T?R3f5X#ubCYo(&K{{s#l$RACiuaXnR<-MU8AXO3HnPUw(_1&VDhgT4 zSne3TQuxwM!0pM@`+H0BgSF$J#u%q|rQ4QC`-Em8mfBL|)Tx%!Y_Y{Ku&fq0s8+FKO9ftZF%jcnAK%dP71lmQishI7Q-3 ztIPr{n*UcaZQ}yzTL7E!rdy+XE>AnwtfF5fD7w#0i}$I4osZYRswmP{d8Fa}*Z-8p zov1qM2fr5{b-2~XkL=hE-Zp5BQ5R8aInbOU<2UULe`C+@u&30g z-#}!$YHSw>5@)DYP-RJ#CXFj90n5GTWG zevmlw&mw7scsGq)hnzmZAl0Yn7B1uM$y}v|8TYyc;k#c3glkW;bwj-jw@3btWOlI- zz60C%c!7)-FM~$RoHRqM711Jhw? z;>kfT%cS<*-QnOA7LnE}-2%7kmK45CWnSS=&+o4(!&T%PU#X1hM5+T_H*4>`n~cMr zHfuqqp#0@4(wh~JLFQKIPzBhzxrJVLOa6O^BK3wfb>W_jcmA7}0n zYF>tqE6w0YUolAGIHOXncf!B|cszXus&*SIbd~)}0y)8cM>(*NFC2KLXH*9X!{vWj zq=H9>kJ^!XIBW?GACrruHoDoxC~+tgq^de6;x1$ZjPmUaS00{HjN+a8Z4FGSK<_)P3moV%j(= zk@Rz$!uk#zY4Gc_i4Y4uOVUyrc<+#8_qq3qTKK9>9DK@D8`BZ7l0KJD)G1%sUza@5 z-2FK}qm&-!OpG;i(rye^9ABE(V?9A=`HmLgH@Aj_(9ZZ;L)m^86@=f4Uh`8gT*Sw( zJNUt$fQx4^GV92N6N$5$QA7H!DOmUqi?fVz6jAd{Wng4u*|w2pW|ZVg`W>sqSGkv} zL3ZRe&7dYWow50{hme#jr=6v{F})PE#mdf;{MzoSKK3ZF;goZ(Dv*y0*U@TrZt=0# z*J0O`X|(F8Mb9W3Gnc(o#F1AihoU^sPUCs!t7HYI*)G|qqzC4I=~Y%bS&|RddK3TL zsHCjF4gUSr)3qKI*-rR<)lM1j+;`%^E@1Z(QrG@o_|#5G1NXeR1J%M48(zY;zK-s1>7vOfDQ|Nf`!J;jmAno_wpT#b;_`#({; z{*Jm2w{?=gdEl0vkA_Hly?c0Tj+F7NCKld1INIEqr{tPhw`NC#vn)qvGiMNcK}3+UAKr!zBx5mu)G#60dFA zqa63QWcw5~wuQs)qMCO4(-^~eaeD+5|3B1QSRbKT^t4e>ng#DbRFFxL)bVEZg)T#UELBUL{rZ`ztK&c;^5 zvzq-VK@;%reOUp!QZ64$tmRAI8C`Ur6A0~a600sMp9zGpDGYxEJ{P`H+VslujI0bV1Eut^VH|ww(ZrI@ENH=#;_(iP2F@l zRozTfTC?sW-A{)Ma{rfhRqb|efA+ND?+?eC4<{#rg3{9MxB68dQ_uZxx?2%W;=y?G zeJ7W67Lq~sy4Cke?S9I1OwVqB!yt=LynC*KwJFns4w9zq&E^DqK??nZd=BS8_Yr)t zWP(m#MoqEg&C?aECz;fk<)#Y?by7tBQZStTy-dr!GiiRX#0oS967~D~w1ZG8l^O=~ zvLKwTVEz4K4}E3FC(wUAl{+3fklwP=KBlk_xK5J51OGFQxHM>Fsc3j9C=PRlgW3=H7-8xx zpeIu+v1!W*Bof25G)X;p$J}Xjf$tE>aHPb2+``WX(+1`Ffi_O4_0tsi*ZIb9Gv}~* z*m0Q)%ph)6D*99dskEo6^R(?t402&u3|Ksasgr^>Jd8cu9BmT@j)7jTXwoLRB7J!? z0w#V{aGJ79!)y86u(;x{i*4ioE!XnUc2n?)vDR-qnatGLfD2wWjbU`%8HvH2H-*@U zis-N~C%qz2j5zSI@;r3xT{wO!+wpmPVCXyOaXvEMT$b?=BB$Hs4ld=J=*K?RZp zzF@PeG;`@o1siknUb-x6bm}-B;TGhe8|>RU{+lFFeJ7a;nqxX__Kr{3yrvZRcaXh` zY!Fb>Wx{wW2(giG9RL z%p!rMv|%GHpj!PY)Y*Qwrb z0k(qQI$8zexbfo>zLoM=yi!=xZ^aWKZijnZb*7fhwW4=el!8r3O68cE)}Fm)@Y)Xz zkp^>-hO@!RySrE*Ag(3Qgx{fbE%t+;z3hl{bocY#pyWh$mHetps}0wBJc{;QZzh-k z|Mq;@1~GBw$04Bhkm%22D{qEWPK61!4 zSdw1BrDXrk{88$k?MLNe*E45tL@X>c?gJM0Ve0x=$C&#o$xP;=Tuk?(Q*qF?;7NYx zPD?0jH{lN(QH2q;_wQ&J-0Y*(Oc!2Ur)M3eh@UC z-|gNQ=ru+$Na;B)M*-{0B4nazkBwbeQ9<$6=4k})2e!7Rfq{X1rve@#9xRL$L`8|d z5y&?Ju50-=Xc5C9*m*h;Mb0(QHSi1hZUgB`)ogEMwU>#IL5sCRfc0IG%4iV`SrD-@ zNuz9QKx;2%7;TR%9t7S;>KVP4Vea4Tl(r&g)Z<)<@lRxciy{ldXc^1(qn_eG%G+G3 z-J7G7DinW#X0u@l-u3u&2soi*fcv?$tc*76yASCo_SoIKL`O_UMn=PoWqu*|oP*e7 z%mt`4<=d9MbCwM7ktJp>3ixhW*WaGgJ>%BDTp*kk^?9BpI;W*o?|wFuir?u_@%l&P zRidNStr&XOP{`ZZQXxmP%Svh-|A$<(Ls(+O6?NdFmpE|{3WcK6M>9Bdl=1ecf7N2? zQYjYOYX$)McXN`cQVJjsNMU(lp^3<=@}W7&R7ZlBr*>g+dHHRTMEJ|xe?f2iKV>>_ zOiqL;G0&*LTL7AAkJQN#H0o&0tuICyak~QVfIK#Uf7DAeW8nmv`epLA8$% zWXJ6EUI~aPgC(N6Ohxfi9#>#bWYnyoBd3})I8eIF)eExT3`RReof9B(gmWU#Z1h4ggax@q_>FBw^J*C!N#t+js83JDy3=j+b5f&*h7<+0;v4Y07Q4V>sYr tiS6n?%;?zMyMJB%`mbl#oH~UPsLphm_;!m2BK{dLH?=gWyz%hKe*isOxElZf diff --git a/epymorph/data/ipm/viztest.py b/epymorph/data/ipm/viztest.py deleted file mode 100644 index ee0379a1..00000000 --- a/epymorph/data/ipm/viztest.py +++ /dev/null @@ -1,44 +0,0 @@ -"""Defines a compartmental IPM mirroring the Pei paper's beta treatment.""" -from sympy import Max, exp, log - -from epymorph.compartment_model import (CompartmentModel, compartment, - create_model, create_symbols, edge, - geo, param) -from epymorph.data import registry -from epymorph.data_shape import Shapes - - -@registry.ipm('viztest') -def load() -> CompartmentModel: - """Load the 'pei' IPM.""" - symbols = create_symbols( - compartments=[ - compartment('S'), - compartment('I'), - compartment('R'), - ], - attributes=[ - param('infection_duration', Shapes.TxN, float, 'D'), - param('immunity_duration', Shapes.TxN, float, 'L'), - geo('humidity', Shapes.TxN, float, 'H'), - ]) - - [S, I, R] = symbols.compartment_symbols - [D, L, H] = symbols.attribute_symbols - - beta = (exp(-180 * H + log(2.0 - 1.3)) + 1.3) / D - - # formulate N so as to avoid dividing by zero; - # this is safe in this instance because if the denominator is zero, - # the numerator must also be zero - N = Max(1, S + I + R) - - return create_model( - symbols=symbols, - transitions=[ - edge(S, I, rate=beta * S * I / N), - edge(I, R, rate=I / D), - edge(I, R, rate=I / L), - edge(R, S, rate=R / L) - ]) - diff --git a/epymorph/model_pngs/sirh.png b/epymorph/model_pngs/sirh.png deleted file mode 100644 index ad739a0621d23589a2e8beab5958701dbe75e606..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 31947 zcmeFZ_dnME8$PU3l1du(C=CrO%3hU{tV&tgL`in`2w7Q4g^;93%E- zySRLhSMT@xbKmz5_v3N@0e7EweG1ogy|i zmnkSHN%;G~=1ur>;@Cbj{NE-+1vy!YHR6BIi;}`ADE3mw%bvR87&F%8WY;<8Hn}#$ zttCe)zV?LS^Am;xZBKZp+jfYb42&09=SRcv?U(kAXv*-8tOx8`r<=&9_U_|p8y>Ga zC@f#I(l%@f2VHqapU~&*UY^#DY}1ug*lZmkFEdv zvICB~F5}ty5&UUg4n1zAyr*Pk=^4W}+4&Q{xU~<3A89>Udu#cQf~;(+;I`o%#5-sX z>$=TdUGI6fIJK`OC9Rlw%rXT(d~pluzbldbMg9N!(WedK{=PZ>sFsLNSNZQX#?LOc za{YI;0xE~ccKvs`QCz#{1O9tW?XLg-WB$J_+S^jz|6<`+;^)uuWA@_j-o4A~viR22 z^trlvuc&BLeEh!pXOe+k7F<$N&thU&zkU0buC?c^f9;_=|E+j+m4K9#vVsB)U(xJN z6^Us|KU$7Ti`@PNlC@ZD;nJ^Y*SQqE!FRdcFN%uT(pp%?9-jRr`S0f2l>6VmUuG5)!;^ zhw3vNrwzZ<)Fi)ov*q+FPJxO(D=YGf(-Uq@0iIeGR@Rr<*^ghpK8(-s(ul7vdr|-2 zsaR@tc5xXQ9W}y5G=+$>Zhsmb{rU6feZ0K9=bHn#C4T=GkYS$Je=dwvU?=I+4*3{J8acsAyOeV$0dxnM4 z{Ycee88~{Dp8kJlvpYc*N*V;3_f$2I37}<&08NM>Ro4I)b{@Rskax6`!4-^ zNQ7VJc01FAf8ISNAUhzyx}7REHrBj7>t^M2Q<6&fvuDcY=H?IH?9z-p@%+r+BW7_P z2VB@wruT&&!l0B_#ke#&Cgx>IN?>DSBU8C3arcvxan{9q-a8xR6LBc}2y6dhy9m zh8g^#qD%w#|L;p=Q}I^qSX*1$SbO%Z%G>ht^5#9ovEv=NRPh3I>v;P2{4Z$;|GNp* z+x8zldjG`>PKs{lQ69xZyBeg|R{7p`Z;W06_ z4#hKUwI+h@B^(ri6{pXg+q7}x#(|-sOuLcGPk63XK0K(PQRsL)K0f|bsus4z#QUG6 z4in|Yam>m(;q2@jWF!?AIzMmU-qGPS6zf1S!xX&{B`XK7<(Tg~ zcyMr;fe#6@<rrlxd&lq?DLwgt<$Xk2K|%Dygark{efMnL!}sq6E+{Cp zGh#j6uq%MAuK$j?lGs{=}sCiT>hPssXDyJs-SCjeqKOKOl;iI z!9jS#h7Ia&#T=`{a@;x}9x>>-HnvLF4%#%fv{Zfi^yy^sQaPgC^!xT+J28Y!G~IW9 z?b_wJ(KN@<;s+0Ql$Dn|EsrFv)5tWbGk=ove9xXe)7>tU)4krb52K?Mu(}JKwzNGf zzl7UzEjh}|%S(AL@$TQTxp#py_bP34{-6!d>r50FW6ujpN`r`~m+#&M-@8XiCQq(C ztFEq25vw9Lq{LkkuYIeXZ}a5n>Zs29aFO!n=GTV!E`Di7kD0-Ia9a_^3%CkC( zNnMiDi!fYBhaKvSGb-Bxz zcOvcuElANNOVOJ7iM5iucI|5NDth{q`S))X`D8dUcQV+EN1(8{5G{hkTn; z)LHuUG&Pw50s>CG)s>a~wexS5q|rcB6%`ekcjVNG{8}I}A)_Pj%k1UnnPp~SDIc9< z?y^u$+Lha(WNyyAfB$}wSY@0?k+qP90 z3!us|H06UfbbIz(w>v2stGwbat(Ni_rPa{LC?GIU@VB`8ipb5IHxV9!5)!qGiz2#d z5s{IMi0(&R@iYr%k zBTgM9*yqRE&LH@WjEwLP&i(tD*x5~NY<8x#D7d<=WDV{7*k^?!fV4(&;Lst%Y%QXy z+1WipG<*5%IJoxCzllsNnQzoG`gD>zo2u8IuUCD%9B5$5e=7B+!akvtggtm5^xey1BW1 zZ)usSWU<__XU|znOTN0gy4|~X@1UnY=jJBKr5v*t7y0$;MO~-CJ@#X*#7go<*EtsH z{vI90=>`G`$uw<1PI~?B-C$0KMM8S|SI1N&&ZW;P?x%0x<{`3RMMXtWP*A$-k`2Ng z$taISv5)78lZ#SZMHE*$`m)Mq@+}-@2{ZKua$Qt zHq%Kd%;!AIDb#B2i>OO>_Vy2>qCTSl+@t2j^>Na) zA3Zlvy-rTvCoCL++anGs2S-v#2}g8Y<+oP~H*ehdIBu`1rdC-e+@pwnC?U_K;lLg^ zc(Ad({Q^RX0vPAYl`9V(KR$c?`oXo;k~N3>fq?-*K?At^!arY*9XN0x-Hl`q^o(#v zuq2!zV7YyPyn;gcxIIqDsne&|1HvGSD7$ROX{up!=qxn~l{|+GN}Q7F+S&tv{aCf> z@VJ$Gdyc84-|i54pP7ktA^2hC37=j)Ad7!+FabsT$fQZrr9Xpq4i38*8056IS>-}l zOULb5T5g${{iKp!Tz5?EZSQ=CsMo7MFW9yt;K{4r6o z=H3m!a7&D`_fxhpKt9+YFnDu`Q+=qhkfy>#i6o!yBPwRb-Q^;S4f zo;-;>H1$n^&l-WL&C780>eZEU>6Hz%lCwK}e0)kAICAGkTQ)Fw1^oPJXl7=%h{N&X zx#e~R1qJLT8xc=K-rKWLiPu{#aijv@^ zLoTG-wadsne@CsS5GnvNsd9(25sGkoyViDg3CHH4K!5+eTwH$OO$q&E!6g@noQAEzkl_Q>z zFkU7mB5CDPeC_E`(bJ1-T+OlUk-`adoGPUXo>Aga&F&Znlr+k06G1^i4tezWafZ{3 z2~qaT`}SgaabFK3BdgzBO$oYQ?CtFhfcfCz!?J?OVuc$w4glXl7V1;3PQj*_bO~fu1mRl=J$O^b+`Sa)bpQ!oX zyZ7M9lgenz;?KCe#BIM8f8-WdyuV(fk#!^N_??qdQr*Mait_UD85v{(Lz^73+e$9N@`gL=6|Zc|f}AkW9b)|06|HO->eT6Sx` z{>w19FCrt^-MN!-y@tMD!^TDch^1-11|X`c&x&6}1Z6hFx)Xop=a(@tNu(QymG*en z*mw!h4Rt%QxS0Jej-FycYE}R7O{S=k0zyKS#cm|W{$SzZ@$o^GwON(muWyTrx`rjd zk4)X9I1ujl{QPWZhc7*R`0()I!~Ch%ziOGxg*vi$Wg}`T0(Nm7=HWRRB7E{BQy0H# z2#2)Am}=zX$39j4eZ8gL2%E6jSjlnGpy1$FuU>6TYPxyP6O05%3CAW6ls>ph^V&6q zQ>RL^Jon+~?C0aNZ0|lB$iQcEB&XhO z8hM$U+cG@M&dO?RZXWdh{rj67UqGKxG=mo!KYfzL0(-8tOZ9i=+k#!vF*6eYDk>@p zagNO7S7EqMP!Kq=uDW_N>NWtUkwDZ9OG{H6@!{bcc(rvwSB#{~lU34!?Nl$$#f3$L zl}53v=<(ynk*vURL|o>%0WD`276hfF>XW4Aj`T~G_F3uYcC=*}QCZ}=RGv)4Pckzz z6KkOGgu4$J(iBk4({mj?pRQ}$Enq(F_w|92sk8;HGvLDKb#&OU7u>pqk)@@lHc?UG zB5=CuMf|Eyza(@Y<8{m^B!IloCT^1Ella*Rmn&x%0czpdN00an+KG$kd!eM|6p0fE!NJYZFYg%ZBLz7#>}?~;?LL#xhM zSfpmy2}AR#uUAI3lvh?35~HEzkgBbZ6`yvL0L%mJD4p)FI>O6)2zUvI=pnKdK3Oi5 z{U9f&*Fl9RSa*3PrB@(%{{EYxas}H8ojloRldq9$!3NF(zKZ0DyXP;CC|RnrT>KMJ zQv3Dm4zPr*oE&CvX^?N+Dv?RC=b&ibHG_uOEKn<4s)*B{1J>5ocoW+e9S4I94Pr~L zU%yTWAGNiLD3$i(x-r6eEJs=k7^Ca#yHXDd=in|;po1n#`uYrjp-dFlR*7&HY>@B< zXGA?cx2UeGTMxdr=aD(A!IJFEi7;u*m*Ec2MQe)X(u!D7mk%u4t;^B*C{Cp$j>N` zh$~TqE_f7CP%<Yg8p&6!AT@|TL8AG;{-G6DD zM*XuVPtE}s;}{VjSyi=MZ?#!Zr-#9>dfRyyLU`nsK{!<=O*%O_MHE@?-LaRG)3E)I z>fO{--gD>91qEk`i;GW_R^RFtJq6DKxJR~)%SpQiER0g!3E70mj}x7u9|{VNN7n(C zg*|#Cix4}$n)~kEHox*ys9{*J#Kc38y$FoW#}`^zc@B*2bA7!DmLCZ^A*Z!f0|7le zGGbt5^wLX5i(iTCW|z0<0QD4u=An@7EnxaO>!O@U&yCcYLeXO!+dJU~u zL01Sk+plO#6KI{n3&nhUJvNsK(B$HjSbDsYc*`lgrYS+*c}0oWR-T0 z2?(GDb=Azbd6jYCH!9#gA0GpuXi*gF@$qqF8RnYH;SV1I;29yb!4nfmmd$Ujg5#Rq zx&_f<|G|Sk&>=u}&V#Q`7S3$Pxq7RSQ8sK$LrcpAh6K#Q80*v5*Z1<(tG)#ilmTKt zP&fge8JU?4p`sJv56LeKNO7W=WC1KlO+zENDFEmVqD1~kVzh_{c_r&>>f5)(Mgn|5 z8_j5Zj9(Q{TCnegXqcYP4@OQ%YT4P@sNF<9hc>|?WX}IA4H|+)@sf!VwIvSptsigW zQ5dm~ATdsBs|%W0H|S7w4RD?zif00#ftmy9?xv^zgHnDOs*|Z{5*>R;XlPS+cRdPQ zw6LWKLMtmf`_i>*F2Q=QO05$d#sX@6lij|7ny=Gdbg}yRiP~ssax|@^9%+1o_VDhQ zc2XJ+0K#MAjDx?N6T26SUu3dT~QS z4lo1&Dq=r2M{XPyR@8a+FoB$KgOG&|ad9QxPU*7}30hrF?4IPc-vy)Z2U>XS8A^B$E!mJNv=|2;^H@N-!6J;xjK1gdG@CA zGl|b`3td#&i@h@|OEVy3+D+qvvZ+u0kr+Rj3x$J!;FKRedX!T_!nHl!FEHx2^D!Qt zSo;;k`Kzp~@0(wvGUxY)h%>UV>_2`y3|R$j9Nb35=$xTI6dEOQLP3TV_xDsvIpTz% zT;FuzfG`Qs#(2yv0y3GMU6yqm6j?CT5TH0Ap&y&MCqInxBJ$F;-U0G3mK-L!0w@h{ z)lxE49=41gL^{Ie)G+gQ@fgkCQ$!CF!|05+H+_$fE zkxU4xdD^`AM4-C8I8J~hM)_SHB+E5Ig5E!t*=8=WG!R~CL~#1*u>BIVU(ek0_5Cxs zMxMN)rbZ~nYfI8=elC+m5olN)J$7uVG1UDNLGJW^g>p#OGn6cz-41{R62l**xKdNH zLKC-CYnuA!Dx)g{&AilN?*{Z&_Kbb@qTjjGaBN8U6?#2r(b)8UTnEhXiN&(86xbJ~ z4Ef-_b^p2klD}fB`#hKcYCORgNuRcmak6nGCEL_)6XZ&2Dci`^P*l;e2y;loqN zz66a#FH1pJmmLJs6?7Fho`8Cl7K(zMaO)jN253oTFiY?)R80t30A#V&=7_b;+mmuM zhet=tN9>eInf3*21zq(VAQ3y6m;x#c^M_CNmfa#U)URJA1eH`#LF)N)KkZJ27~h?` z8p$~DP(UnnO0bhc7L&h!zX14y_&oBWryM$Ft;tLl#h-9yCZ_o0({SumLHOO1K@dO9~@{9j@0Y1{)&CAPUT38z1fporj^9-)P+gG*00JIQz zU9f(pkGe!P+x`2iL$tbY$brp&3>Z4ZErA1@$ZNABP2Yd~_}1S31=u-%?#DF*#>=9j z*ps(@F!l_A6i+q9kspD6G5D32>aES`g@e-7ne-EdoY0|waM2VSeK^;-dG}a=s{j)d z(^zMIIQkXq8Kfd_nwy`PC%b@DE*6xK#MgUL0PR;6d;FuzDvt_9rzCn6B|kR<#Y6K6 z$;>}6Fd;cP0H6?5Imly_YSX40H*fAkpK4{rmB<8P`{i2mZMmS(yZ|C~=yvi$O6o01 zT-D;H@0Uch(O@@`F8omDkuA72-`_)1haezdzLbsF0X?a>yGuceL%bOp8ZzQA^6=Dc z=3@KX%&gSSfoP6$+-V_<@`}I#F}82K_0cCi71;3a8djPfwqV=zVcE zaIr~xRkf_FEHWnMfRGS<_-9!|Lr$VpqT_;q(Y|UW(ZS0wR`Kamy7QdbMi=$BMgLEu#c;(M38+~zySM&WR4aup#TUdJC`K1^w zHOV=HALzkAl!w(IVZ-~pyhyNI0%zlJga2270prpk`XV|InZ&M}w_Ut=QAS0D7F3K? z#Of|_0AfTuTSiaT+X4;{Iz121b*K=yz%O6Eps@s<6p$jM%OdIh`-h+zXj@8J6wRq2 z3adgns*DA&)ThvRMenQ=86M3*Lc;NJvr!u1GQ~;Gf0=wxhlBmSwIuo#Q)nHaMHbvK zZqi>FEI7aQQA#d04Ob?A`SQ1*kT1y-!ACeIc$Z$Y7$iUQk_=-Zx^y^@T*PnwOw#0# z^qOeTVx{nA%JsH3lgRVbL}irLLz@fi2aSWT9UTyS)*+!m%*b?@)J+f^hgOl4m&b^x z($ZpviurTkb2t#9ub*G?>(~5b$??faVzHh*tM4oKgBt`YO9rYS*n38sxv`1KPk2NM zx+=f*qOXm$JqJY|p+R6ewErOZ2bVHILO93Z43QL-2MxLhQBm?}F|e_*LH0xM%TyZ; zy`R&L;HR9@(s7b5^XaAy>_5`<8lYucpCy3!$Fm&jDBDP55w21!EGz)^5D7OhK z4$$^cJQSW$7XS%x+&(-a0(tB?Iv+B7Weg1V>83HDrlEfR(^`aJc?M@sH?5_$^2~tN zKQ4_3V}U5IKO1hCnH>$4oM+Tq`N;q}CirAWP1Q_4#~M@u--aO?`y=XSOP^JD+GI>f z<1LX@gCK!Pub$wIsL@cC&R)qaEOc$RrxEr-C3rx9ja+1mYM$IqubM$l9-d&ZN9bm4 z`L;9qAFTKQkg8xX^yQ{kq*RA3r~q4oNhwn7pqL zOjHXZ@+p8r;Q3Z_q5d;ZlikR@WkNe)XaUH35E*&np4+XKRN@RidbImze?Qo_U~1pY z(s?B%;)}@ZkRlFd4~cAU(kLQ>p8P6N@tf z*-V*Ge(s5!Jo&i0Th~>J1I!=rhgmh5fOG)3Q%kN}w{N$pVsk(*1euJ|v_2-v`Wc~h zNJyA-m*2_P1~^6v28*OYzXR!nB{mu)8zmhb6TsJsK^yCZF5)~AJ|^4-6rwsu<+D;p z{WT+!V!FZ(MA{2vJX%a3>0JlB4cQ&Lk2C3BBq`=E0FR8N^%Yn?qvy>PKtM)cNEP!RvfIo-=<7t>lieJl_6J|D zQk7~iUG3wy_#&4E6)A{fd*t!AqZiWdB#ZIQb{)_WmhGaPE+!X3Oq1B*e z2|9t&+X|xuDsCsrGFU*<*RLPJdQhN1td2`a1T_qmPcG=qPTzNBP5d~g8?m1-=YE#7L>3q4sN6)zzUl8QQHW-621I^ynh8{Fu#I*;J~3U;Q}$o4yL03#Uzy_FGaK zASNO75!b{j@-ftXc0ZPYIQS6}EL|Qrt<01MIcFY{ucN0(7sdo^S*`szHnuKRr=T_a z76S$3Q!xGSj4RU%9%~DTSb%r=OP9hj7J88N(f-(OGsnpp7xUMp6t>X<@;@4KOwm1Y zVs|c-KJ%|-0qR1l^WvpTr4wBR>i{y3`?^C)oavf$XDI1W(betFN-n{LMArSqX8NuLi;-0J^reKPxk)*gvcruc#)5hr^L+P*NW7PA+ao?pP5wEWzOP>W~_wVsvha_}DNC*{f_qv4o(_u zCykj(*FbO}{5-tBZAx{KsnG*Mj*?By01!qwBeXVt+o`IV2I+=y6)91psVWqR(~vK5 zePKSbf3J^WGo_bKS)naB?WO`sx^e^%M9&rX5-&-*u)WK}y`iXWsM4f`$s|y_9`bx{ z;o{Fg3MBQ5YHEaJ3r*w2^XGf3n**y|6aQ|)z$Rj`j3)%56rm4!K^B_w;d5OVDZ1Ey zOmFE+P$`G1r-7rR;{y&)|5}EBmfA}O8&$os&{)a=X@gbVJ_rG*di83B0$GSb546hvH<7;v8_SZiC&)IMJ+PujHOIXUQDJ$!Bc>jKHfUuTULC_6b z$fUL^6~-Guk=+cWDkW01hWV~eEfLN*yUf3389`{;`PGKrB66skh0D#E&vol zpxI1KZ2+|leM)#T-n=T|TtD>zXC+MZfNSgm$;#K(y|GbI_4rAV>sqa0>JFI|Afx%G6Oz(O88)vP9_p8S) zg9j6f8ZEhnL{CpFr$CRZ-N+=-F^2AkbGduZ9;QA$>^zWRDX+S0D$n20d|X!CmXK~q zzKqc3q`9h~P?J?(f|dnZ1yKGgzlLJpiWUND-O_F`r-Aa+DxeC1js1L4stZXMXl<-D zy#c41>b6AZ^>+99r%5A z!0aFDBszJ)tB4Rtz)Em;a%kYBD}V@7zX9SQ)HLEZ1^NS`HUs{Rs|(*%RUjXN*a{-S zT)A?iM>U_6V_HvZ+NN`H))Bt)l!mxq$kp&rNb0c@?qP-cn51{Kng}&rvKU ztGHbtkpnvQ(E-+`0@gr6L$~rQgm1*H(dzQtTg}YMywH|Wq8SBx(XRnB25=d$CsZq` z@fe^Sf-h!kSwnI*7Xqa9=wc7|ubz93(N;+T48oo=0k|T5(mW4A|O;-&~?y}rIjIR6~ek#fJ;bC4cWz|oPM+E5Cs$} z5u1U{ghMNCZDlAaHVypgA6Fni5a1z1SY+%&!omw;QUa)CLx!cgpedd*#F2&ZdhfqS zh0)}fm57Ml@B=!EVi*7v6%`*mduDOZ0~SrdZ*)@sUKs5CxG)IDoSf_7r6ct5BS%Wj zR?|w{w{6=t)>RMzlVJ03?~HR1OvV@W^rXkbGjIoBNhm;-d>`Oc20`z)$xof!u#0Xf z62%9>=y45I@sS1W-Xk8G&3^Ut;`XRofBd!?C%E;IYNd|B6-f{Zp=!`z1 zqpX?I1?MO3#}YSik*!~yiQpzD!itG~g>W8xy`*RPN3P?a&s^XSgpAmfNXC+HDsYWD z`1^N^j;D-%C6R$z0zf5_l1$sB+*GmCFhLfskxAxVADTsqAwl1^~c&QRNGm5#bHuCYY8#Th7J8y$SH);91$*Pq4y6@?}O3xD43ri zXeX}jG1wA7fI(-&h@AlJ3=lzJwL~8WeNuCCMTJh;fe%En%&CkJDhi; zZ4N^_|9VLZ96@+P9MKse{L&4Q3#?GHJx;+Efj%}!*Lw&}$V4g{8X7{!oG1)qVR%qXFV*;ASD&kV03!jZ&K+9@(f*lLBqG_T7t|mD-zl1Z|y*48~gH+6PMjH6)O+d-}UZnG=>qSLHCr+LuI<;zQKe9T| zL?xWjp9!67Hc5IL!Bmhn05Jc^dCbaHy7~F}i8@SlX8o9jhwYM%PTl-?2e5R$6zzH0 zUzC5h{ryE(yJ0zXbp{-Eq??6@yF8@ll2u^W+%fRwtchQlRG6lKsHi;Pqx9;C%F((;w6}t7qonyI( z@w0wM?$@5ZKqYGu@Q*=Yg=_;km7~IP^~zM{R6a zTWR?Ba9%GV`d}CjIF+hB&<_YApn$@T4oJl9ZM4+X$Gtw_etKM#GutG1xOaywDG{~7 zzd9RbxC|}_0*g`rp`G#Do&hBZV9F8m14J7HP)uX~8VteEfgT)V$QJ+}{B;)zAHh5O z`C+w0B2oQN{s=t-D{?K@Vk7TZg!@?Q@q`&moO@W7!cb=@|DSb6k$4-5&?@h${zfi& z&Y63_vj{zwh<`fMI9<;ie^UPoyM}t2RHTEUoIr6vK4T$~QM1q+_0}o&M>ymY6%L@h z$lAa56xt{#rtAJ5WdGWA|4XxpJ|3zYq@TIXYd&-RBae%P{C9GGwIkhN16HY&SC4)# z&W`Qf(|Er=Gp`~72f`+ZNfzAQfSH@fN(T}(x?2FT2-+$@7y`Ll{;i+p-GzjBd-3vR zujV(5=S<>suiGd=Ix6WcCQZ=TGjTG^MK!qks_VI(Y`tDBA;{1F5oYFpu94dc<~|ra zAbdEjOjkh+ixInX9|CCxyo5xnasNsI3|@p(f*F!{sC$7GJIDT9X9p5&`9xT4oQq0% z&&V39{XM;OVaKiuL}_H3?ICQK#1sGp!OrGaNL3yya^ydJYdhg*MFt0_ft3sj9%a6B z6z%T$&xQ1xDJf3uyXpCL;ach|lwqO+3~&KwH>EyIw*b{sQ{}WQ3c`?|ytI=MKmMJ= zs0@y90TaLPj`Z~e@)cKu%*Z1_VP56RB3E2wnN(CRnz(3UB39ve82;9hifa%t5r_&J zY8#y+#0Evhp!Fpz=l?Ogg5_WC>w%3RSaMB@ zm3*^3O&jx;0(?uZglY4Jx%q%?9EsIx-{C)`Rlp7h%bbuj8h)InQ%60MrZ=Dipmzc8?Wn3Y1@`!N=;0^SLE;SgG5Xbb&swLMmAkN4Dli z%2A(V!~smL{60^oy5=*&HWW8dh(idW5bYJ|#(b%Xxg@d+4|@aGyA6q!jnme-T3}hNg9l&X22HK*80TMlm zpo2c@Utk}FQAAm}KFg|Z+`b96bx>SvO7Y)#K>spLlPB{|QSz;v+}unwv2Ipj15q`e zqiy-aOvH7O-(_JUR%ouxB=ge6iytu}^|`KY<6hY1aO5!8_AW&XLul1iM7|{tsE~<9 z8@ub&DP8xaK^41VnZ2+}4q&Q?->aC`(#TqJ(~Guodm?|KS6@l%KIN@h(*26SfIU48 zFgj)RLo7xkKyPkI*JJe#n!7c^#nap1XSqw$H3ZBB)lo0}sq|aeEl~KGs&sf6@Ksxr zysjF)l3JJ%ydive3GX2n&9~ozDU)ayBEhLZ+$SbOG-1et=ty9A!g7tq&`l0rOb4c` zq*9j~rSLqw?gF+woc?ZuI(?S31;I^k1KV$1CqhsuM7 zh6QDi`WrMEiEHIZdGhSpGX&(1IVsmVq8VESm3q6MH_jWH7^d%h(aAzono>spE1Ipv z0W{!FVVWzAS=xs=zh8&KKYv1Dc3SN7L#NPnjnp#~N*)fCnqR^}LaFp1<$4e*YUS~? zmKr#}{suAJv(E3nl)MCW7qaX|GmV!Rba<;bd6`f*uxlIevB5^3GIu92A;xj+Ug7F| zM{vN1>Z#v^vKZ>IVgy2*s@Y}LXWB2v?sN}%i7D3&W|Kj92R8CXj6T)1&B1KQlC;xw z1p`cBSFHBhcw_biyt97u8hK)p3_*1>;-pP;+nSWcjK8+DR^_plPnZ?4ES%m%Kqk!` zb0&gHqW^;v4edE^Jf}nC&hOn&nX?egwnJ+z-EMxuce+>mJ!-VNT`X&Mv23U`uRU~N z-@40X%9={?H>0JNa+KC9Ef1KDY-XaB?+D7Fj#8pdkl&kCY9LDKReJY$Z;_t_8aM|# z+DoJtN50?R=J`p3eX`}w$a`1218&YMaf6NetKoq>TNub=>Ps#_o`+LPMP zF+Twtt&KeH@b(bMOG@+o{;JUZQc`4bzMtUMz|+`EGudCZVv;m3E8WiEiiKnNi z{Xu4tPU0JHY#NtHkXDG`tpMvD&pGn=0+6R`N_Qa!g{*9CGhHUikriV{$5b$!)!Es3 z&-Qz_JN$J$VGD)f#7MzVoCiCycvgbKz8CJGLJ-_HuY2BRehx^Um`R4@(TAc?4*WvL z$mkE&qyMWm3U-~3Fg2Dm&#q+OYT-O_VmD#h>l+<)p$hRYKIZFoV(-ez%GAdVv@-A1 z_H%Jjty{M)^5iXg0YSkGwBac?Z8C&uc>oN9Q($>8w(<$e zq_6~OEYm+I=o2y+zd;#gAq*2%80s!45Qj}ASU&s^HCLICSnPH*6Q^cpS*MJ$l$x7w zoXB&YJBq&ZI&JBF#WsUqo^P^5n-`xaXJy3?l1w!y+0ot(DSBP+^5Yob79@lh@UMV= z!_nw&E!X4GnP-iO;3F{gom^R+^nmCjM#xO)Yi2d{ILOFQtY5z#l6!S}sK5WjVeCG{ z7yVMNjb-rXcfj2Yz+P=E07-OnDAQJ7chVQLY%NwPS4IFbx}490Hj2?g+fYLYvpL?z zu_{zPsp-_K%cTtsw3m~2Bf-JsWMyxkGrAGjO#cM4&t!$+abp3dyK5omPedsai*Wvc zS9tiY13Re!+YunJ6Z8TOalbgUGhlD{=X*zL=mR$zW-#LIFb8=qfezX_KXWj~Abm>p z@5*x0>6YvBqmT0O^JnTq;nes^n|$rXz1OZ>p%fMthPAfbSfJEg2(uxlIm2W)mnN%- z5QW!=aqFhM4X(j0T!Fp$0xXC35rw z+g8$zkLO=q?mNJHM?L+wD=CMZ5;t<&s z6pBwzPy^^L*65MF(62cae{q(2`R=HCNu9~e-O%3~$Q}DFCpz=X*3*5Q3k#SmS(5_$ zDYj<5g_*1GX4zdrk1zPZU4wBznhtDFXIB@gh`F=i3ErG#Lh!*Pl?>x?QOj-#3G6<0 z1V-FS=%JSFLnhD7rWO{eR6LediSI#4rIcD*v0Yhe@bFbjsn{PXVVIkyc*q+iaCsU} z>FA=)kr~DK%;F%Q$IaZLmoF&^Yaonv{IIl>KsC2=y~Z-pJ?a8RN!+cd2$c3%_0VFd~~Zed9OoX?Lp08q_l@r(7FAnosCGI@YP_5;CX85 zc6eW^o=LhqS4-*Z@85tAP>d4Thz1KW9}5=U*xkL|!^6WBl`4|oVEvD`nj7-9c~@fd z^7Dy(!mglyF9)qMQ90Jkp;YaiTK}sE-P3An^z2RpbVS3G_Jq>Qhfok9EMLS(q< z%e%VRFwt0s`hOhjj-t^I_mv}XQ`ant>R=B+@BH8h8tn&Lxy4 z#kp@O(xnZM^@2n~?91lOn?C~4_=26+K9giY@MyiGNATdtF2eXPawEYE&GWGEaHAF} zAAeseyb|2a@b~xRR*cu=72x@2p>j{^4eA5V~UxPQ&&=VPiSUE2*ujRrYSPvf> z1|XU|AYek@gY%1KVq#*uh}du1aw+DEsAN+!GrNi-&L5bXo6GK)zk`&5bSaC`LWJZ+ zb#*G(uv@;iVw)jM5T16a)mc>-#xi?aeossQ&Q~d&NwKWS5vjo7db6nudXcVfZhe!J z9!)K;-@GZqeB&5VR^VAH)92sZfo}o|T9>=K3cndtF5<9~9J^&@u!)S^N zpj_a{607>rBkAKrYsLl@sigzjIywZ&!N4IED55NMtdc;dD8)mEAAi|*obAG^%llAc z1Wjr`V%vzRA5^s6fN8CG1OgHxqCWsef?mQxhpcUd=}{sRW6Z-pG*k}pOgtS0tgp1H ziV72-pHR|vFfmbwoxexD>rn64_%pC}l%W89{r1fZB)bnK^%KGe?9daHHy%$!!P>&S zavEW`Wy==iw&}(G(DJr6rjK)07SJ=WHx&T$jfh7mvy7+&jHhmn@<_U`I2s%P!8w7t z*f%(MonhV$5=x}dZRW~Q4q~i>laG&>sggr$7n%5+ToufzYlcvUPOp_>&X2aep%!|l)$i{|eBEUCqjZ!)GC%INY`5}T zy~L}{yb?d;)9j9B#a5gXpVRx^&bnZFrnIAj1$`@@D@XU7Q{C_pQf+X96lp79r1bGy zKe(wl*w$?&RhM$p2U@L9R!ceVL3V|3@)5g$!gVg;QsmCQU%xO?NQvP4i3N{5ZgeiL zB~vMlaoC3mf;tFiyjlwB-X(BU2o|LTBALE}`|@5}?ODt2u%G^URy)tC?+J@V&)X;B z)9yJ7SCX$ln~*(y+AF<_KJ~(@Z{lj+my>0!t&cBcX$8Q>J5jjEU z`q`rDm1JeVcVKn!coZ(~MLarzm_L?)YEZVh2wg)=KCn0!u}ARglwp%eg(0^yGP@Is zinnF9ZH-lKG2Pga7LM~dH8m`Fu<1u=i&^%Tz~CF%S|~l#`v%ePn`$$SGeD**GvC6; z$9Mj~PUI)RKz6_yxXApp-c@39=(uS;E6k?P{bqAkf++D!*8z>tATjp7Bz)L!~PIySa#6vQZ$goFfqLYtGX+(#}1G%c&D zl5;G+O=%z_bJr^5dt;*~1`6N`v0*4N5LXreblf7_Z3lz8G zH^0I6cmOy(K0jYGl3ns*dwV;U7ulz0aX8>2aQPp5@2IiOGo-+`Lx|h9b|qfzyt`;-?ivr6lqM* z6^#qwEaDeE_ z-hhO{MfA6Gh*5P9qGRp&J2`0wsyzidxEN>K!^!SVBdo#@<@CzXIl z6w#=sYI|z)%E9^n)nyVA!zY-2d`hZdRK;vpTlNDC1)kH_f4+la!$+vkSU@-l12i*D zs878t)&EF5rUBmR?-uuT;oSj|Qc;>R=j)^ zyAH+F$Gu??CjN1)bi~}?#6(C%AcGOSRTQZWf5ZqB24KoUcF%CDcLy@D#-J!_QC0l0 z525xznKFP6uba)ljL#%AKF`kHgAcfP^l{mn4A2q?Ei$UA;rx$J^G1~4II)E*$1Ix} zU=vTfLR~qHho1l@@#+@(qd~hez$NVoOs^a#6%1)^Bb0HUl9Cdu7yZ9~Z=t0Pl{(fO zRcC_S0q90kbFZUJTt!6%02uP`77!d_V&;?K@w=n(c!UcBO3{P3I7^2;`AJDsu(V=Y z<1`p9DtKd8m*jIUouW3geDEY*oez|zrl$J}vzlF!x&@`BIq*b~&D*!1Q&*3$3PK_2 z?(QaVB*GS)la7hWsp)1%u0mQ1oExkRyxJ62MRYkhT40#k+S<#vH+8hN5fh7Orft_? zbNGgVtV>|iKtNm6zgxT#<)xz&4Y_^FpD4+&mF>z2lzkz!za};&1_{=WD3JK=SdzvC z8uR$VIDO%wP+?(Vx=9@~+U>utN%q+9YnWeGCsdS&l_r7^Z5?D2IH`^XX`f&Y#>#&k zokM@y_gsQ!g(2}U1YhD|It10STKaPxvIqQ>N|DErYJ9%F#S_GkR<`)8Kl*qJ9zOv5 zO(>g4{vcau*MZ)^Pvi}S$zPTe&3uB;N=fN1+Vb)6>^V2qMn8=yY@g_87F5xDbcZjz z+KH!=`QQmB{Lz$o#WJ5?DMa*6PKLt51tg9CP|HpyHSIfm`1}nf!flG74~PPwTBkU} z&^e(+G6tmcM#uFWwVImR3rys~dkPT)g3aM$$GichTwM#Np5mI}!6167y?uS25GOF) z%6aI}IT40BP-k$0eIOwf=Zi-VOLK5=pr_PhRT`R;lOz6(A==-!_~Sd!UuV+rEEwDS9079b)G1;x7n~0y)*7xGG-l6>EWuXqlbb7yoL~j# zV?hPS%gaX~8T1YgZhWV9%p4p9Dfcw687=^#`qW^A-j-55P#L@eeEG(L1o9Vzbx^-E zDb4Lldf*RdklaB{;x8V)cAw4(#wmkkJ~Vhd01&&3ySsbbzV8k{C2OEGL`M1_ zH>zw^>bZD$H}PmFOeVm4y)8;n==muQ3M`iq9#@7#P>BYN4|a5)xHyZ2g@y3SUZZQP zR_W)ixvPUi5(*gc=oMlq0Vk~-9I616hzD$7URXtAHOk-LHv|twf(Mpnb=gApz)sZL z?1qZ!Zd6v}8?-aKCi{C%Tr+(B`pQuP5R{y`-4n_tP7kvHo{o1iWBVnUhtOdNaQ0ew6S4uJ6~|2HL+A56VM#Uvm#&Od5m@91bClb{Kn7`7YyAKc({ zoL;YUgCUq3MxWx}zTJwWj=-9lo~AojF=8i%hK&p^jpifvCm!#Hqfg)^a6>e0hiE4tGRlkS`2DE~{wzqGgz<7koD1ZksF{I*LEmhw;y&noAhisMjvw;!^j8+Ag|~WOYp1EqGySkuu3kX zHQt6SP*&}Ul5l)7#!?_s9>oBX(SLip?yH7fs6wr2eqyu>t+*7 zI#TBJd#xQD{FIY6P_Rlk?%)jDOw5#|{h@12hoD4I88mK7LDzN$$TBuJb3ocb5~+<9 zU+_&k0>HO(=eMCXdwdnv1UQkOBTb^hAh#mObE6N5U9=Np!`z_Hkql^6P@`Z%+zH#` zjvYJh0xG}w@Ih;sMICAX?p+E@*=$F_!yQCQI0@VxT^FYH&KJ>vRlU2$`+W~PJ28X< zyFs~OhCYh!)cm}!a*{W4Do_*h?|7n60X8I|H6}Kej+HeC2y@>UQu7(GT%21%eT`Dw z1V91H1a=PNOw^v9p4e*SazCggSC0Cmq#OfbAf~U8GZ1pbvuglEcbC~!;KYvc4ny7dR z038*C05oe0Yved9y8IU})g?9V23ERlw1oH;!d5Uyqk<2^ zGt3ZyR1|RfcUfJMV|D~4`Gmfb3``D$hznF#;QLv)skwP02uYG zZpz#Q@e<8*Knf$M4;#qK4)@JdK?AVl!zzp zK*7Y5gf;@YKpg7BgGK3i-($f}p}GnSGa%pLxdrwqf_OLtL2{6uG0zC)^CK#P&pZo? zDz+L{7f&ESXDU3*i31J+;zv%$?^xc(tC3Ejo~Bztq<=Vs4LoUK;)i_b=;C7Z<VD8hiO)CAC z9wZj@F7N9U*!Q6Y<%PT9)hj0SGW~BamP`Z5qEuXgh2bf*ZlH2l-n^>A{PeroNmLw)-oykh-=~;k zgF4sqhm1^$Sf^p&{e=0MWyQ?+Nej$zFE)6Py-|W79Dy#$K&{Qk!v)*l?NpNe9*6X` zG9BviiEyPwPb4*sOu_G4j)16%;Ny7tds7cwuz?Wr&;$HGjh%a3&iDJrZ<10v&LI`4 z7;_A5MN>Mg%xPxCkI?O~#ZpNpDW!8nU)#uL6Wudsimi-Qs$rJNy+)B#j!~3JwQ~49 zuQ1=gevjYhvBRUsqwf3j`Mlrn>wR6X*Xw${^Y4W!ZQDW+V#TAdxfWbDpWH}6!jUOG z<#h{R#CVN3OIJf=eO0~%;_fiC7lKe6nwPVPku5A7miqqR+R`$H(D~+(sAmUkhGYSG ziUbSq6{km?P1J*fZ~xxY>z6Q@oGwY9oqREM%zh@aP<@*tH4wZ-&dCiAj!M^RY3Xxi z_Plx0NZ?JIbnGXUgTMIhy9c$#?t0*(v_d%Vo0+j^&t00b;gwEas`P2S_wZo?f$oPX zU*D*m(ZJ+Oa2Y{8co$J})%)j~fZ{0Y)Zsg5xD>hry|N#vc9^wd2& z!gWXr3gPcRx5r2T)>h%=w6dG7uB)%_!GH~$Hn{^>5q9Hd4Ppa5I`x>{|vsWtN^Wfgdf;pe_G7oFDW(xr>cc`|-`@CML1 zjAkU8B^_cONy-DR;zHgB*t3}+!MoN`wNWuis~!Cmj~qsJc5y2zJHGO!jo&qUk2L3; z+Jw@umWC>)ZNVuzw6g>SbyKZRPp=w2vX|xNiCrU<-Ap5p?-cG|yNTRnh;8?gLx&za zc_rM2R%8GTs}Upg>AXCCcgGqjM?5SdXKvf^BshCZ^VSjb*Ms_c)~dex^2;$kXWuiu z@`K~lbjRG1#pAxaFrv#aRyLZ8yw)4Km|bc=>&<={-*_Z{yK2v0Z>g(EvvMLVe`n^& z{00BC!4^ST8rAFxpTg#+A{!%lqh8Os<`?gGVaaH04qWGC-X!L_1DG&s=ojLb6;L+! zx-gqpC{_iGy#VV}2^7x-6rcQ0d z3T{dHvlnM~M7p`GL(FOY2anvDYi2D}O8jjlk+*%C_dQpPo0_t0g2i>T_AtD59mAuwE0t`3)V;oo1 z;Jgz+N(Bc1L1oYWZOPFB$M>yFCy=CoQ?y=h$qSv_UNOSfD=(rCFVT8PeH}rS@E~N$ zwQI;NPG$N>3w1-tMYwwZnD$lVUc;}2l7I^a7rD`FYTuC~Mx3GcOsv$JZex1z&Fm2*hQslz6-B(X+Rwwa!ZEoj{Hp@DN3v~2 z+4hU5PjoG>vx87%kie#3Ltu9Jw=ipDnnKo4H8M=hPRz>U#S|lQKw_VYTFj>=GL=u3 z++^Ekn+$RG=IsEstrsj*kb=&`rcIlst)t_@&Vi!`FGhWLEs%NpAft^o7cN|o6kkxN)5Q2Jc z*kDs{o$>KLB2U%x)lfEtLp}-o*&G;*8fe?tRd18x4v7=LCyj8IzF?hQ-e;FHa(`VH9>{XZIrCfj0Sooeicq5$1f?S=G!TA0Vrh z$1ycsPfO$4{J^H}M(W>om(@`;gjMu5OHT4TOM$#|<`8M!OI?3u5Km60#5yopd6y{`*#rG}$P$Tl>oRFkryQbEHhN`(=UeP=N~D0p!1GQZ=X-iZg=%c zU)EU^W*tl`DS}XZ@EvE#Sug^*wRd#>7?nDSsPukYt%|f<7&~tKUhPpo-6BV;z~iv2 zG_bWe+|E9FbVlp$MY>I}`|+BiC@lc4K}Kq-RsBu#o<4gfl-A_-Zvg6M4zcY1V|-k8 z|LKQ330brpTTn%Ugb;cQyD9xCJtI3$Ag2>t2I7$A$3Vxiv$8`)L`3vYE3N^KBRT!; zb|ARNDIj8gr^rg|Cag@C`QBX(i6~8TIBJfC6kA+*A{dkC*w_On-_jz>krF{ItWdB} zM5SDQGIXT02V=rG_V|g4vxLj8Q=--_fIXyNP^@?rWlmlmZf;FxwF3tYDk9hvcsRR- z#*iZrzzzHLd;Z-54-iB^Um#L$o<|T4f=Ni?9^+iywzuYb>C_+R9;(zXB7+bBrE2?> z9~__QQr9H;1d)#v39ZGltw!;73Wg+czLN_tGH9Ofy6a`_cWH^#w)kS{=spA>iPp4{ zGMPCKp^tE+SfNFYvueA1EAVHV-D&bFx|X2NP5fiKT~(09zL`4AJCZ=9sXqqOy+(N1 zFY$Qt74}Oa56grK@czEk0El5+Yh)Y3g9p zT2p@Eeqd;5?@te3@w_=7cV)+?jjqac@NqPI8u-*DfLDKd;oD@eb%*`8=AFq*^)V@} zd%~_3*>-o<%$b55@Tt*}J97eWPudkFZH)jy<`F$!K8fvLyTAWlSXQYnEx$ZxKL0}K z50{qvFUud9|MYMD*`pgxnvL{UK06ff`N>(Ho;pLPwzaluTQ1(`0LwybvVn3IG%g;zr|f(fPF?aLuiNUi`dgBw5YIOqhCuWD4iwdsI` z22H-7_=66TgLYB?xgzClcuOWQ4n{`C-Cmp%PjoKz#!+MYn@(8%(}|ZGsf!cD+9rBK z2KUgR&X>+GYzfx6?3#ea7(c|=)EJpzTnT8S+;R$hY%_pjtKP|h52MKLtgv@*&>ecU zc|ncmuIV_7g_j@peED|V++59gk|U!4L=POO%ZZ}%Q1m{E_SbU)yl!mk#EwsAVf@Hu zqx$0iise9Ry8izD|BkuQX2Or{q9;vFz_q_HLj(($H48*Zk!jEr-cqt5H8pY1o;`0K zqW1ErdX@4)-Oy{zd5j3{5}g%nuW^PY*@cIAXpkTl`M(1UgB7c^&|CdXQ_?AFSPzf` z#e^YS7_!2{i8~&w1*U*G_^&?*?T5O-nEWf3b-Z<}i%P9f0LQbE<7fG$4f~%MI)T7K z`Xi-VlvOUF<>hs24#>wvbT=&(PDc=P0G%la*G9d1b&Ypf2k3b9P=Fa!Civ%@=T~1m zotfG-MeXB8vCaNWT)tRYsds9va|-HpNi$d&PQ5IK8+3=Y{ifU*BJ$ zB5|G_UE|3pe|fHp0)obs`ARvq5`To6th4>(M<5;0&+6*?$v%VGq)x5xIn;dqnIzj4 zS8b=HJ65Wfc0?P!q3pCGNToGxBPNof=0&HXQWcv9C(J5OOHVgY&Ci{{l4K!dJpbsDH<9syPqzq&zYMC71c*E}S_a@^5g~z zfDZ^+(qg~UU)#j<+?VJ99pOSDaNG&EmrK?v z!$`$%BEA&=6Phhk$`(fTMNQWIpM<^2-p!q&fp%ypZ9F$9eJ8w!xcA_=20*YL^=><` zVDOu}D!Pi^B?~?>rO%kI$c(};)%_T;F1f>)TV{m`OUui)1NlK-XW?Tbx&f35N6HjFo5i73e>h>{c))dim z5A{3v#jC}WlrSD>z9`W^HeneScn^6hAZW36vi>Jwv$ALN{~Yp!leTtnI9YXeq}OpG z#N^3l=a2sT83S_{q}o+Qyv6bttt)BaBY3tOxZ}*>_!>8>&8o@YSJ)mbbQEXL8uZ_T z;8}N-)zJhk)vb|3NWH9aD2?h`W68_pN;pXR_w?RJQ7&XoYuifG7l9|D9eB&VMcw%B z!86_$wvCd!;mn})h!|17iBtorUU#4j8D_iue>#So)7p;(~B)hs?mER!Ul`dVWG-N=)X{1R#3?J6&Teia-PO67{Q_j7-Y-1=s@LIcm ziZI#fyJ?Anl`@G1vE{CuPl-6V=4P8g=M&`%U#fzJ1;i4j4<8lKJV8?o4KLnZ zjrvmfW4FRj-eKwovK+?=^jl6R+EBKI9lz$XL`u8%F}M5N z??1+LBj#q5s(s0taP5tSFd^XXJbKiaVoyq>=fE_IOd6OywoKus7NJNOyk(NSG;yq7 z%W)i{Dy5|2LCB!aVy(D=+^A+OWeh$QkC2}D6F8%j)xKGm+JcA&oQn|OH zo}+SGhcxPj#MZ#TqpIS%n@r6!MB@6|(e8Q)k+HWhId28YWocJZe+}NMwV5b; z=fZaz&?^>{mOkFv{uFc^UGqKt+00(saWA>v{^%geX_1#^LI8Y$2NkqGY?2~po1K3@ z&P(7(n)R%oqI1c6KH;Wq8%3%jM?G;%1=Q&Zg~i%dORC65u(L6>Dzh6`_Gz&D8pEa( zI$ic}qeZFTCRwgBepilt#&~J%n#3#JT(T%jfJ@25pFH`1NDpKEpY7Xq5iS4qM`;=^ehm@j9c_qTMIpO&CM?Pjpy z!i5V(CN?K8Vr;hW6;Uc|ql#=lw`4TTl0L7S-PFzct=fgDvUQ! zek;9?D<57PDP>EmJ6UAY|D>qy!MMZz(WE;{OB|ZAnu~1k<%ctUS)I_@0#MnB3NB`yV z1&7uL{!zL_XS9A8GfIKB&3>g7b4#F{|12KB@?Q^XfmA&HvMKm7$Q_KoJi>FK!8-IkUiVJ5!$W{5AsPH1D$Lc?q{fq0FJjq5zc&WO-I`QSv?=BgcVpY1MC&w_*hqj`*(-6z^fn3Yb!`1ku6)q98!C zqV}O^hGY-%KFz(^n#Jgs zszicMBS#W+652|!`!a>ZBZbUxt=WN#VO2$|%kC04 zk28zV1yFnf<`0XD%I=@pVhf6wQ8PiMu0~@hJg=LT0_U zYoULkLJB$Qh~^*j`KFT1DCZvXG|81S8hKTx5PQhD((fG0^7hy^aKbI`_OV*=d7FCbm9r)gWnXW;!z7Zq*n@^YA^sJ=TXfT^gH+yEOuN#ok#?9BTTvt7SoyZ{t{ zCz*u>_r@~Ct>e&8a|1#kqL~(X0MTplnUn(5T8(S~hO6$JcMb^1R81b(<}QNH4+j`a zw6e6^RkD~N2(k3WHdB-w=&(q_sI*~z`a>0h4Mh5ZEB8OGqHm-aRM8>DHh6Xgr zVA}~ftZ<{wr`V%$t*yC#=>U#AhGgQXZ50aQ;j@J3Y_r*Re80mVtX-N2LxcM8tw9^$ zqlAM)b0qPqtE#-hR-Bff&<2}3c2 zIbC=W5O0>$Dsp0g4PQ-x>Ttq0!yyJ_Xj$OTPZLUGI^ZN++=B}r^9PKxH>%idce$`Q;{zc+9j={wOm*%f(@w%t~B2^Mm9{JPS;RbS#LI1 z(&@TYRmH`+WUE31BqnMJow0%+K@t0=6bbCl9(Ea64px@nuxrM?oip}P(+rCs{}>q; z4#iRUm;jB8ej^GxY0!|Pj%=V-5jL!f_cDEA(yUIRK##+B4dLwdpnUF1LLdQ^2B1Rz z)sz2sw&uTVGZKkHLtFF~mN4Ql7KO7bB4^JobIgx`BSoa&^;X!+f-E5h_`GJ!mvaww zRj`zukCdUZBGFZGl{{u5K#UlmD1cd5Ookv@NSrQ2^2&|EfEe7*GSnLcD*ZevThlG? zogVdnfLWKF{_{^kRn@|6AKvCRvgXwPb~HIb=#VO8Iq?ujvwb`Mn7M6Pa89lH3a}-- zo_bS;x!JnFY`*$ED^pAG;@8(kL+pxLz6NX;@i4V!c z>uQg$ndsLPJ#m2P`El+WvB0xG(dG3gnC_yRNg9xFis<`s@m}t;rq=k)rx;U;A5d+0 qiBt1O84bQpYyMxi`Rfa<(uG=Q#{QLJ%IV~a4?mdZcG$%`=6?a&WvP__ diff --git a/zvirus.ipynb b/zvirus.ipynb deleted file mode 100644 index f0761d36..00000000 --- a/zvirus.ipynb +++ /dev/null @@ -1,245 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "d5fe0cd3-204d-46f6-b2f2-53764aad6bd4", - "metadata": {}, - "outputs": [], - "source": [ - "from sympy import Max\n", - "import os\n", - "\n", - "os.environ[\"CENSUS_API_KEY\"] = '6cf86640c2654b91dfa0418755fae477ccfe0be5'\n", - "\n", - "from epymorph.compartment_model import *\n", - "\n", - "def z_virus_ipm() -> CompartmentModel:\n", - " symbols = create_symbols(\n", - " compartments=[\n", - " compartment('S'), # 0\n", - " compartment('E'), # 1\n", - " compartment('I'), # 2\n", - " compartment('R'), # 3\n", - " compartment('V'), # 4\n", - " ],\n", - " attributes=[\n", - " param('beta', shape=Shapes.S, dtype=float),\n", - " param('sigma', shape=Shapes.S, dtype=float),\n", - " param('gamma', shape=Shapes.S, dtype=float),\n", - " param('alpha', shape=Shapes.S, dtype=float),\n", - " ],\n", - " )\n", - "\n", - " [S, E, I, R, V] = symbols.compartment_symbols\n", - " [beta, sigma, gamma, alpha] = symbols.attribute_symbols\n", - "\n", - " N = Max(1, S + E + I + R + V)\n", - "\n", - " return create_model(\n", - " symbols=symbols,\n", - " transitions=[\n", - " edge(S, E, rate=beta * S * I / N), # 0\n", - " edge(E, I, rate=sigma * E), # 1\n", - " edge(I, R, rate=gamma * I), # 2\n", - " edge(S, V, rate=alpha), # 3\n", - " ]\n", - " )" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "163e018b-3a47-4dfd-ad46-043978a65f71", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "\n", - "from epymorph.data_shape import Shapes\n", - "from epymorph.error import GeoValidationException\n", - "from epymorph.geo import *\n", - "from epymorph.geo.adrio import adrio_maker_library\n", - "from epymorph.geo.adrio.census.adrio_census import CensusGeography, Granularity\n", - "from epymorph.geo.cache import save_to_cache\n", - "from epymorph.geo.dynamic import DynamicGeo\n", - "\n", - "geo_spec = DynamicGeoSpec(\n", - " attributes=[\n", - " AttribDef('label', np.str_, Shapes.N),\n", - " AttribDef('geoid', np.str_, Shapes.N),\n", - " AttribDef('centroid', CentroidDType, Shapes.N),\n", - " AttribDef('population', np.int64, Shapes.N),\n", - " AttribDef('pop_density_km2', np.float64, Shapes.N),\n", - " AttribDef('commuters', np.int64, Shapes.NxN),\n", - " ],\n", - " time_period=Year(2020),\n", - " geography=CensusGeography(\n", - " granularity=Granularity.COUNTY,\n", - " filter={\n", - " 'state': ['04', '35', '32', '08', '49'], # AZ, NM, NV, CO, UT\n", - " 'county': ['*'],\n", - " 'tract': ['*'],\n", - " 'block group': ['*'],\n", - " },\n", - " ),\n", - " source={\n", - " 'label': 'Census:name',\n", - " 'geoid': 'Census',\n", - " 'centroid': 'Census',\n", - " 'population': 'Census',\n", - " 'pop_density_km2': 'Census',\n", - " 'commuters': 'Census',\n", - " },\n", - ")\n", - "\n", - "try:\n", - " geo = DynamicGeo.from_library(geo_spec, adrio_maker_library)\n", - " geo.validate()\n", - " save_to_cache(geo, 'devlog-20240214')\n", - "except GeoValidationException as e:\n", - " print(e.pretty())" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "ac6470e9-780d-4455-867b-a55a6521d501", - "metadata": {}, - "outputs": [], - "source": [ - "from typing import cast\n", - "\n", - "from epymorph.geo.cache import load_from_cache\n", - "from epymorph.geo.static import StaticGeo\n", - "\n", - "g = load_from_cache('devlog-20240214')\n", - "my_geo = cast(StaticGeo, load_from_cache('devlog-20240214'))" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "24b21656-e26c-453b-a7ff-969e1e083346", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2020-04-01 to 2020-10-18 (200 days)\n", - "• 158 geo nodes\n", - "|####################| 100% \n", - "Runtime: 10.105s\n" - ] - } - ], - "source": [ - "from functools import partial\n", - "\n", - "import numpy as np\n", - "\n", - "import epymorph.initializer as init\n", - "from epymorph import *\n", - "\n", - "sim = StandardSimulation(\n", - " geo=my_geo,\n", - " ipm=z_virus_ipm(),\n", - " mm=mm_library['commuter'](),\n", - " params={\n", - " 'alpha': 0,\n", - " 'beta': 0.4,\n", - " 'sigma': 1 / 3,\n", - " 'gamma': 1 / 9,\n", - " 'movement_factor': 1,\n", - " },\n", - " time_frame=TimeFrame.of(\"2020-04-01\", 200),\n", - " initializer=partial(init.indexed_locations,\n", - " selection=np.array([3, 7, 13]), seed_size=100),\n", - ")\n", - "\n", - "with sim_messaging(sim):\n", - " out1 = sim.run()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "1099744f-c7c7-4e2a-9111-8db241b85bfd", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "EtoI = 1\n", - "plot_event(out1, EtoI)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "48c3dd56-2dfb-4d6c-a90e-159bb871ef11", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "plt.plot(\n", - " np.arange(out1.dim.ticks),\n", - " out1.prevalence[:, 7, 2],\n", - ")\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "29a57d02-8e69-445a-adaf-5ed9481d3d7d", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.0rc1" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} From a992cc0c8ecb589378da536b0980909af557359e Mon Sep 17 00:00:00 2001 From: izaac Date: Thu, 7 Mar 2024 16:03:47 -0700 Subject: [PATCH 08/23] cleaned up unecessary files --- .ipynb_checkpoints/USAGE-checkpoint.ipynb | 235 --------------------- .ipynb_checkpoints/zvirus-checkpoint.ipynb | 6 - 2 files changed, 241 deletions(-) delete mode 100644 .ipynb_checkpoints/USAGE-checkpoint.ipynb delete mode 100644 .ipynb_checkpoints/zvirus-checkpoint.ipynb diff --git a/.ipynb_checkpoints/USAGE-checkpoint.ipynb b/.ipynb_checkpoints/USAGE-checkpoint.ipynb deleted file mode 100644 index 9c32f5d3..00000000 --- a/.ipynb_checkpoints/USAGE-checkpoint.ipynb +++ /dev/null @@ -1,235 +0,0 @@ -{ - "cells": [ - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Usage\n", - "\n", - "This Jupyter notebook presents usage examples for features of `epymorph`.\n", - "\n", - "## Basic usage\n", - "\n", - "Start by constructing a simulation by combining a GEO, IPM, and MM. If the modules are registered in the data library, it's straightforward to import them from there. Once you have a Simulation, you can call the `run` method to generate the simulation's output." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "from functools import partial\n", - "\n", - "from epymorph import *\n", - "from epymorph.initializer import single_location\n", - "\n", - "# Note: the 'library' dictionaries contain functions which load the named component,\n", - "# so you have to apply the function to get the _actual_ component.\n", - "\n", - "# The 'pei' model family (IPM/MM/GEO) implement an SIRS model in 6 US states.\n", - "# (But keep in mind: it is possible to mix-and-match the models.)\n", - "sim = StandardSimulation(\n", - " geo=geo_library['pei'](),\n", - " ipm=ipm_library['pei'](),\n", - " mm=mm_library['pei'](),\n", - " params={\n", - " 'theta': 0.1,\n", - " 'move_control': 0.9,\n", - " 'infection_duration': 4,\n", - " 'immunity_duration': 90,\n", - " },\n", - " time_frame=TimeFrame.of(\"2015-01-01\", 150),\n", - " initializer=partial(single_location, location=0, seed_size=10_000),\n", - " # I've provided a seeded RNG here just to keep this notebook's results consistent,\n", - " # but the rng param is optional! If not given, a new RNG is constructed for each run\n", - " # using numpy's default_rng.\n", - " rng=default_rng(1)\n", - ")" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that you have a simulation, you can call the `run` method to simulate the model for a set of input parameters. Note that it's perfectly legal to call `run` repeatedly. If we did not specify an RNG seed value, we would see slightly different results each time due to random variations.\n", - "\n", - "Which parameters do you need to supply? Each IPM and each MM define the parameters that they need to operate. At the moment, you'll have to inspect each of those to know for sure. (But this is something we hope to improve in the future.) There's no harm in providing extra, unused parameters, but if you are missing any you'll get an error.\n", - "\n", - "We should also provide an initializer function. This specifies how the initial population compartments are set up. There is a set of pre-baked initialization routines in `epymorph.initializer`, or you're free to write your own. Here, we use the `single_location` initializer and use partial function application to set its parameters." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running simulation (StandardSimulation):\n", - "• 2015-01-01 to 2015-05-31 (150 days)\n", - "• 6 geo nodes\n", - "|####################| 100% \n", - "Runtime: 0.290s\n" - ] - } - ], - "source": [ - "with sim_messaging(sim):\n", - " out = sim.run()" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The output object contains time-series prevalance (compartment) and incidence (event occurrence) data for each population in the GEO, as well as some metadata about the simulation that produced the output. Now we can inspect the results!" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Prevalence is an array of shape: (300, 6, 3)\n", - "That's (T,N,C) -- simulation time steps, number of geo nodes, and number of IPM compartments.\n", - "\n", - "Incidence is an array of shape: (300, 6, 3)\n", - "That's (T,N,E) -- simulation time steps, number of geo nodes, and number of IPM events.\n", - "\n", - "And here are the SIR compartment values for the first population for the first four timesteps.\n", - "[[18797786 10319 844]\n", - " [18797696 11119 2495]\n", - " [18793768 11470 3400]\n", - " [18793718 12244 5348]]\n" - ] - } - ], - "source": [ - "print(f\"Prevalence is an array of shape: {out.prevalence.shape}\")\n", - "print(\"That's (T,N,C) -- simulation time steps, number of geo nodes, and number of IPM compartments.\")\n", - "\n", - "print()\n", - "\n", - "print(f\"Incidence is an array of shape: {out.incidence.shape}\")\n", - "print(\"That's (T,N,E) -- simulation time steps, number of geo nodes, and number of IPM events.\")\n", - "\n", - "print()\n", - "\n", - "print(\"And here are the SIR compartment values for the first population for the first four timesteps.\")\n", - "print(out.prevalence[0:4, 0, :])" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The prevalence data is a 3-dimensional numpy array of integers of shape `(T,N,C)`, where `T` is the number of time steps in the simulation, `N` is the number of geo nodes, and `C` is the number of compartments in the IPM.\n", - "\n", - "The incidence data is similar, but of shape `(T,N,E)`, where `E` is the number of transition events (directed edges from one IPM compartment to another, associated with some sort of transition rate).\n", - "\n", - "We can also do more interesting things, like plot the data over time." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_pop(out, 0) # prevalence for all compartments in population 0.\n", - "plot_event(out, 0) # incidence data for the S->I event across all populations." - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "There is a very limited set of built-in plots available (just those two at the moment), but behind the scenes we're using `matplotlib`, so you can certainly use that to create your own custom plots. To do that, you might need certain context info. The Output object contains useful meta-information about the simulation which produced the output.\n", - "\n", - "For example, how many nodes there were, and their labels, and labels for the compartment model parts:" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "There were 6 nodes!\n", - "Whose labels are: ['FL', 'GA', 'MD', 'NC', 'SC', 'VA']\n", - "\n", - "IPM compartments: ['S', 'I', 'R']\n", - "IPM events: ['S → I', 'I → R', 'R → S']\n" - ] - } - ], - "source": [ - "print(f\"There were {out.dim.nodes} nodes!\")\n", - "print(f\"Whose labels are: {out.geo_labels}\")\n", - "\n", - "print()\n", - "\n", - "print(f\"IPM compartments: {out.compartment_labels}\")\n", - "print(f\"IPM events: {out.event_labels}\")" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": ".venv", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.6" - }, - "orig_nbformat": 4 - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/.ipynb_checkpoints/zvirus-checkpoint.ipynb b/.ipynb_checkpoints/zvirus-checkpoint.ipynb deleted file mode 100644 index 363fcab7..00000000 --- a/.ipynb_checkpoints/zvirus-checkpoint.ipynb +++ /dev/null @@ -1,6 +0,0 @@ -{ - "cells": [], - "metadata": {}, - "nbformat": 4, - "nbformat_minor": 5 -} From 847f7171b3d5e80b8bf6484a9d51317e913a2fc8 Mon Sep 17 00:00:00 2001 From: izaac Date: Sun, 17 Mar 2024 18:35:20 -0700 Subject: [PATCH 09/23] updated tests --- epymorph/compartment_model.py | 7 ++++ epymorph/test/viz_test.py | 66 +++++++++++++++++++++++++++++++++++ epymorph/viz.py | 17 ++++----- 3 files changed, 82 insertions(+), 8 deletions(-) create mode 100644 epymorph/test/viz_test.py diff --git a/epymorph/compartment_model.py b/epymorph/compartment_model.py index 0f97de82..fb6469e3 100644 --- a/epymorph/compartment_model.py +++ b/epymorph/compartment_model.py @@ -14,6 +14,7 @@ from epymorph.error import IpmValidationException from epymorph.sympy_shim import simplify, simplify_sum, to_symbol from epymorph.util import iterator_length +from epymorph.viz import render ############################################################ # Model Attributes @@ -245,6 +246,12 @@ def event_names(self) -> list[str]: return [f"{e.compartment_from} → {e.compartment_to}" for e in self.events] + def draw(self, save: bool = False, filename: str = "") -> None: + """use visual module to draw the ipm in a jupyter interface""" + render(self, save, filename) + + + def create_model(symbols: CompartmentSymbols, transitions: Iterable[TransitionDef]) -> CompartmentModel: """ diff --git a/epymorph/test/viz_test.py b/epymorph/test/viz_test.py new file mode 100644 index 00000000..99de7bab --- /dev/null +++ b/epymorph/test/viz_test.py @@ -0,0 +1,66 @@ +import unittest +import epymorph.viz +from epymorph.compartment_model import CompartmentModel +from epymorph import ipm_library +from graphviz import Digraph +from sympy import Symbol +from os import path, remove, rmdir + +class VizTest(unittest.TestCase): + test_ipm = ipm_library['sirs']() + test_graph = epymorph.viz.build_ipm_graph(test_ipm) + + def test_build_model(self): + edge_prefixes = ['\tS -> I', '\tI -> R', '\tR -> S'] + + graph_attrs = self.test_graph.__dict__ + + self.assertEqual(graph_attrs['_format'], 'png') + self.assertEqual(graph_attrs['_encoding'], 'utf-8') + self.assertEqual(graph_attrs['filename'], 'Digraph.gv') + self.assertEqual(graph_attrs['graph_attr']['rankdir'], 'LR') + self.assertEqual(graph_attrs['node_attr']['shape'], 'square') + self.assertEqual(graph_attrs['node_attr']['width'], '.9') + self.assertEqual(graph_attrs['node_attr']['height'], '.8') + self.assertEqual(graph_attrs['edge_attr']['minlen'], '2.0') + + for edge_index in range(len(graph_attrs['body'])): + self.assertTrue(graph_attrs['body'][edge_index].startswith(edge_prefixes[edge_index])) + + def test_edge_tracker(self): + test_tracker = epymorph.viz.EdgeTracker() + + c = Symbol('c') + d = Symbol('d') + + test_tracker.track_edge('a', 'b', c + d) + test_tracker.track_edge('a', 'c', d + d) + test_tracker.track_edge('a', 'b', c * d) + + self.assertEqual(c + d + c * d, test_tracker.get_edge_label('a', 'b')) + self.assertEqual(d + d, test_tracker.get_edge_label('a', 'c')) + + def test_pngtolabel(self): + self.assertEqual(epymorph.viz.png_to_label('test_path'), + '<
>') + + def test_save(self): + self.assertFalse(epymorph.viz.save_model(self.test_graph, '')) + + self.assertTrue(epymorph.viz.save_model(self.test_graph, 'test_model')) + + self.assertTrue(path.exists('model_pngs/test_model.png')) + + remove('model_pngs/test_model.png') + + rmdir('model_pngs') + + + + + + + + + + diff --git a/epymorph/viz.py b/epymorph/viz.py index be7d8224..7b5e3457 100644 --- a/epymorph/viz.py +++ b/epymorph/viz.py @@ -1,7 +1,5 @@ from graphviz import Digraph from sympy import Expr, Symbol, preview -from epymorph import ipm_library -from epymorph.compartment_model import EdgeDef, ForkDef, CompartmentModel from typing import List, Union from IPython import display from tempfile import NamedTemporaryFile @@ -81,7 +79,7 @@ def get_edge_label(self, head:str, tail:str) -> str: return None -def build_ipm_graph(ipm: CompartmentModel) -> Digraph: +def build_ipm_graph(ipm) -> Digraph: """ primary function for creating a model visualization, given an ipm label that exists within the ipm library @@ -129,7 +127,7 @@ def build_ipm_graph(ipm: CompartmentModel) -> Digraph: # return created visualization graph return model_viz -def render(ipm: CompartmentModel, save: bool = False, filename: str = "", +def render(ipm, save: bool = False, filename: str = "", console: bool = False) \ -> None: """ @@ -150,7 +148,7 @@ def render(ipm: CompartmentModel, save: bool = False, filename: str = "", if save: save_model(ipm_graph, filename) -def save_model(ipm_graph: Digraph, filename: str) -> None: +def save_model(ipm_graph: Digraph, filename: str) -> bool: """ function that saves a given graphviz ipm digraph to a png in the 'model_pngs' folder with the given file name. Creates the folder if it @@ -167,12 +165,15 @@ def save_model(ipm_graph: Digraph, filename: str) -> None: makedirs('model_pngs') # render and save png - ipm_graph.render(filename, 'model_pngs', cleanup=True) + ipm_graph.render(filename, directory = 'model_pngs', cleanup=True) + + return True # file name is empty, print err message - else: - print("ERR: no file name provided, could not save model") + print("ERR: no file name provided, could not save model") + + return False def png_to_label(png_filepath: str) -> str: """ From e8c2db079c2334665771ac0f263422bacd17b848 Mon Sep 17 00:00:00 2001 From: izaac Date: Tue, 19 Mar 2024 13:22:36 -0700 Subject: [PATCH 10/23] cleaning up compartment model changes --- epymorph/compartment_model.py | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/epymorph/compartment_model.py b/epymorph/compartment_model.py index 477c78d1..bf508e92 100644 --- a/epymorph/compartment_model.py +++ b/epymorph/compartment_model.py @@ -241,10 +241,6 @@ def compartment_names(self) -> list[str]: """The names of all compartments in the order they were declared.""" return [c.name for c in self.compartments] - def draw(self, save: bool = False, filename: str = "") -> None: - """use visual module to draw the ipm in a jupyter interface""" - render(self, save, filename) - @cached_property def event_names(self) -> list[str]: """The names of all events in the order they were declared.""" @@ -264,6 +260,10 @@ def _compile_pattern(self, pattern: str) -> re.Pattern: # Compile with anchors so it matches the entire string. return re.compile(f"^{escaped_pattern}$") + def draw(self, save: bool = False, filename: str = "") -> None: + """use visual module to draw the ipm in a jupyter interface""" + render(self, save, filename) + def events_by_src(self, pattern: str) -> tuple[int, ...]: """ Get the indices of IPM events by the source compartment. From d2fc0ed01072ff3acdecb5ee5a4ed60dfb6dab37 Mon Sep 17 00:00:00 2001 From: izaac Date: Tue, 19 Mar 2024 13:25:37 -0700 Subject: [PATCH 11/23] cleaning up viz test file format --- epymorph/test/viz_test.py | 9 --------- 1 file changed, 9 deletions(-) diff --git a/epymorph/test/viz_test.py b/epymorph/test/viz_test.py index 99de7bab..4a192f36 100644 --- a/epymorph/test/viz_test.py +++ b/epymorph/test/viz_test.py @@ -55,12 +55,3 @@ def test_save(self): rmdir('model_pngs') - - - - - - - - - From 33d13bc105bd53bbd3f9f82e8e0a4ab32ff5e927 Mon Sep 17 00:00:00 2001 From: izaac Date: Tue, 19 Mar 2024 14:58:28 -0700 Subject: [PATCH 12/23] added model png save directory to gitignore --- .gitignore | 3 +++ 1 file changed, 3 insertions(+) diff --git a/.gitignore b/.gitignore index be17ec93..6d497b95 100644 --- a/.gitignore +++ b/.gitignore @@ -18,6 +18,9 @@ dist/ build/ *.egg-info +# Visualization Saves +model_pngs/ + # Testing & dev .pytest_cache/ debug.log From dc90991cce4b9e4ce1ac092b27cd1ba4e1a2afb7 Mon Sep 17 00:00:00 2001 From: IzMo2000 Date: Wed, 20 Mar 2024 10:05:11 -0700 Subject: [PATCH 13/23] reformatted code to better git epymorph standards --- .vscode/settings.json | 8 +--- epymorph/test/viz_test.py | 19 +++++---- epymorph/viz.py | 83 +++++++++++++++++++++------------------ 3 files changed, 57 insertions(+), 53 deletions(-) diff --git a/.vscode/settings.json b/.vscode/settings.json index 35d5ef9f..a798a1fe 100644 --- a/.vscode/settings.json +++ b/.vscode/settings.json @@ -9,9 +9,10 @@ "**/__pycache__": true, ".pytest_cache": true }, + "vim.leader": "", "files.insertFinalNewline": true, "files.trimFinalNewlines": true, - + "editor.lineNumbers": "relative", "editor.formatOnSave": true, "editor.codeActionsOnSave": { "source.organizeImports": "explicit" @@ -20,15 +21,12 @@ "notebook.codeActionsOnSave": { "source.organizeImports": "explicit" }, - "autopep8.importStrategy": "fromEnvironment", "isort.importStrategy": "fromEnvironment", - "python.formatting.provider": "none", "python.analysis.autoImportCompletions": true, "python.analysis.typeCheckingMode": "basic", "python.analysis.diagnosticMode": "workspace", - "python.testing.pytestEnabled": false, "python.testing.unittestEnabled": true, "python.testing.unittestArgs": [ @@ -38,7 +36,6 @@ "-p", "*_test.py" ], - "editor.defaultFormatter": null, "[python]": { "editor.detectIndentation": false, @@ -46,6 +43,5 @@ "editor.tabSize": 4, "editor.defaultFormatter": "ms-python.autopep8", }, - "jupyter.notebookFileRoot": "${workspaceFolder}", } diff --git a/epymorph/test/viz_test.py b/epymorph/test/viz_test.py index 4a192f36..d780e4cf 100644 --- a/epymorph/test/viz_test.py +++ b/epymorph/test/viz_test.py @@ -1,10 +1,13 @@ import unittest -import epymorph.viz -from epymorph.compartment_model import CompartmentModel -from epymorph import ipm_library +from os import path, remove, rmdir + from graphviz import Digraph from sympy import Symbol -from os import path, remove, rmdir + +import epymorph.viz +from epymorph import ipm_library +from epymorph.compartment_model import CompartmentModel + class VizTest(unittest.TestCase): test_ipm = ipm_library['sirs']() @@ -25,7 +28,8 @@ def test_build_model(self): self.assertEqual(graph_attrs['edge_attr']['minlen'], '2.0') for edge_index in range(len(graph_attrs['body'])): - self.assertTrue(graph_attrs['body'][edge_index].startswith(edge_prefixes[edge_index])) + self.assertTrue(graph_attrs['body'][edge_index].startswith( + edge_prefixes[edge_index])) def test_edge_tracker(self): test_tracker = epymorph.viz.EdgeTracker() @@ -41,8 +45,8 @@ def test_edge_tracker(self): self.assertEqual(d + d, test_tracker.get_edge_label('a', 'c')) def test_pngtolabel(self): - self.assertEqual(epymorph.viz.png_to_label('test_path'), - '<
>') + self.assertEqual(epymorph.viz.png_to_label('test_path'), + '<
>') def test_save(self): self.assertFalse(epymorph.viz.save_model(self.test_graph, '')) @@ -54,4 +58,3 @@ def test_save(self): remove('model_pngs/test_model.png') rmdir('model_pngs') - diff --git a/epymorph/viz.py b/epymorph/viz.py index 7b5e3457..a57b3526 100644 --- a/epymorph/viz.py +++ b/epymorph/viz.py @@ -1,21 +1,24 @@ -from graphviz import Digraph -from sympy import Expr, Symbol, preview -from typing import List, Union -from IPython import display -from tempfile import NamedTemporaryFile -from os import path, makedirs from io import BytesIO -from matplotlib.image import imread +from os import makedirs, path +from tempfile import NamedTemporaryFile + import matplotlib.pyplot as plt +from graphviz import Digraph, Graph +from IPython import display +from matplotlib.image import imread +from sympy import Expr, Symbol, preview + class ipmDraw(): """class for functions related to drawing a graphviz ipm graph""" + @staticmethod def jupyter(graph: Digraph): """draws the graph in a jupyter notebook""" display.display_png(graph) + @staticmethod def console(graph: Digraph): """draws graph to console""" @@ -35,21 +38,22 @@ def console(graph: Digraph): plt.axis('off') # show the model png - plt.show() + plt.show() + class EdgeTracker(): """ class for keeping track of the edges added to the visualization """ - + def __init__(self): self.edge_dict = {} """ - dictionary for tracking edges, key = (head, tail) + dictionary for tracking edges, key = (head, tail) value = edge label """ def track_edge(self, head: str, tail: str, label: Expr) -> None: - """ - given a head, tail, and label for an edge, tracks it and updates the + """ + given a head, tail, and label for an edge, tracks it and updates the edge label (a sympy expr) if necessary """ @@ -65,8 +69,7 @@ def track_edge(self, head: str, tail: str, label: Expr) -> None: # add edge w/ label to edge dict self.edge_dict[(head, tail)] = label - - def get_edge_label(self, head:str, tail:str) -> str: + def get_edge_label(self, head: str, tail: str) -> str: """ given a head and tail for an edge, return its label """ # ensure label exists @@ -76,12 +79,12 @@ def get_edge_label(self, head:str, tail:str) -> str: return self.edge_dict[(head, tail)] # not in list, return empty expression - return None + return "" def build_ipm_graph(ipm) -> Digraph: """ - primary function for creating a model visualization, given an ipm label + primary function for creating a model visualization, given an ipm label that exists within the ipm library """ # init a tracker to be used for tacking edges and edge labels @@ -89,23 +92,23 @@ def build_ipm_graph(ipm) -> Digraph: # fetch ipm event data ipm_events = ipm.events - + # init graph for model visualization to save to png, strict flag makes # it so repeated edges are merged - model_viz = Digraph(format = 'png', strict=True, - graph_attr = {'rankdir': 'LR'}, - node_attr = {'shape': 'square', - 'width': '.9', - 'height': '.8'}, - edge_attr = {'minlen': '2.0'}) + model_viz = Digraph(format='png', strict=True, + graph_attr={'rankdir': 'LR'}, + node_attr={'shape': 'square', + 'width': '.9', + 'height': '.8'}, + edge_attr={'minlen': '2.0'}) # render edges for event in ipm_events: # get the current head and tail of the edge curr_head, curr_tail = str(event.compartment_from), \ - str(event.compartment_to) - + str(event.compartment_to) + # add edge to tracker, using the rate as the label tracker.track_edge(curr_head, curr_tail, event.rate) @@ -113,23 +116,24 @@ def build_ipm_graph(ipm) -> Digraph: label_expr = tracker.get_edge_label(curr_head, curr_tail) # create a temporary png file to render LaTeX edge label - with NamedTemporaryFile(suffix='.png', - delete=False) as temp_png: + with NamedTemporaryFile(suffix='.png', + delete=False) as temp_png: # load label as LaTeX png into temp file - preview(label_expr, viewer='file', filename=temp_png.name, - euler=False) + preview(label_expr, viewer='file', filename=temp_png.name, + euler=False) # render edge - model_viz.edge(curr_head, curr_tail, - label=png_to_label(temp_png.name)) + model_viz.edge(curr_head, curr_tail, + label=png_to_label(temp_png.name)) # return created visualization graph return model_viz + def render(ipm, save: bool = False, filename: str = "", - console: bool = False) \ - -> None: + console: bool = False) \ + -> None: """ main function for converting an ipm into a visual model ipm: the model to be converted @@ -141,17 +145,18 @@ def render(ipm, save: bool = False, filename: str = "", if console: ipmDraw.console(ipm_graph) - + else: ipmDraw.jupyter(ipm_graph) - + if save: save_model(ipm_graph, filename) + def save_model(ipm_graph: Digraph, filename: str) -> bool: """ function that saves a given graphviz ipm digraph to a png in the - 'model_pngs' folder with the given file name. Creates the folder if it + 'model_pngs' folder with the given file name. Creates the folder if it does not exist """ @@ -165,16 +170,16 @@ def save_model(ipm_graph: Digraph, filename: str) -> bool: makedirs('model_pngs') # render and save png - ipm_graph.render(filename, directory = 'model_pngs', cleanup=True) + ipm_graph.render(filename, directory='model_pngs', cleanup=True) return True - # file name is empty, print err message print("ERR: no file name provided, could not save model") return False + def png_to_label(png_filepath: str) -> str: """ helper function for displaying an image label using graphvz, requires the @@ -183,5 +188,5 @@ def png_to_label(png_filepath: str) -> str: return ( f'<
' + - '
>' + '>' ) From af3d20edab8746555915421f2662a0cd4657233c Mon Sep 17 00:00:00 2001 From: IzMo2000 Date: Wed, 20 Mar 2024 10:14:06 -0700 Subject: [PATCH 14/23] reformatted code to better git epymorph standards --- .vscode/settings.json | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/.vscode/settings.json b/.vscode/settings.json index a798a1fe..35d5ef9f 100644 --- a/.vscode/settings.json +++ b/.vscode/settings.json @@ -9,10 +9,9 @@ "**/__pycache__": true, ".pytest_cache": true }, - "vim.leader": "", "files.insertFinalNewline": true, "files.trimFinalNewlines": true, - "editor.lineNumbers": "relative", + "editor.formatOnSave": true, "editor.codeActionsOnSave": { "source.organizeImports": "explicit" @@ -21,12 +20,15 @@ "notebook.codeActionsOnSave": { "source.organizeImports": "explicit" }, + "autopep8.importStrategy": "fromEnvironment", "isort.importStrategy": "fromEnvironment", + "python.formatting.provider": "none", "python.analysis.autoImportCompletions": true, "python.analysis.typeCheckingMode": "basic", "python.analysis.diagnosticMode": "workspace", + "python.testing.pytestEnabled": false, "python.testing.unittestEnabled": true, "python.testing.unittestArgs": [ @@ -36,6 +38,7 @@ "-p", "*_test.py" ], + "editor.defaultFormatter": null, "[python]": { "editor.detectIndentation": false, @@ -43,5 +46,6 @@ "editor.tabSize": 4, "editor.defaultFormatter": "ms-python.autopep8", }, + "jupyter.notebookFileRoot": "${workspaceFolder}", } From 156b59ff8697e52fffb09d99f79e711c02b211b4 Mon Sep 17 00:00:00 2001 From: IzMo2000 Date: Fri, 22 Mar 2024 17:59:52 -0700 Subject: [PATCH 15/23] implemented check for graphviz and latex before running --- epymorph/__init__.py | 3 + epymorph/compartment_model.py | 5 - epymorph/draw.py | 245 ++++++++++++++++++++++++++++++++++ epymorph/test/draw_test.py | 56 ++++++++ epymorph/test/viz_test.py | 60 --------- epymorph/viz.py | 192 -------------------------- 6 files changed, 304 insertions(+), 257 deletions(-) create mode 100644 epymorph/draw.py create mode 100644 epymorph/test/draw_test.py delete mode 100644 epymorph/test/viz_test.py delete mode 100644 epymorph/viz.py diff --git a/epymorph/__init__.py b/epymorph/__init__.py index 14ef8580..dcd342bf 100644 --- a/epymorph/__init__.py +++ b/epymorph/__init__.py @@ -3,6 +3,7 @@ import epymorph.compartment_model as IPM from epymorph.data import geo_library, ipm_library, mm_library from epymorph.data_shape import Shapes +from epymorph.draw import render, render_and_save from epymorph.engine.standard_sim import StandardSimulation from epymorph.log.messaging import sim_messaging from epymorph.plots import plot_event, plot_pop @@ -24,4 +25,6 @@ 'TimeFrame', 'default_rng', 'sim_messaging', + 'render', + 'render_and_save' ] diff --git a/epymorph/compartment_model.py b/epymorph/compartment_model.py index bf508e92..382f159c 100644 --- a/epymorph/compartment_model.py +++ b/epymorph/compartment_model.py @@ -15,7 +15,6 @@ from epymorph.error import IpmValidationException from epymorph.sympy_shim import simplify, simplify_sum, to_symbol from epymorph.util import iterator_length -from epymorph.viz import render ############################################################ # Model Attributes @@ -260,10 +259,6 @@ def _compile_pattern(self, pattern: str) -> re.Pattern: # Compile with anchors so it matches the entire string. return re.compile(f"^{escaped_pattern}$") - def draw(self, save: bool = False, filename: str = "") -> None: - """use visual module to draw the ipm in a jupyter interface""" - render(self, save, filename) - def events_by_src(self, pattern: str) -> tuple[int, ...]: """ Get the indices of IPM events by the source compartment. diff --git a/epymorph/draw.py b/epymorph/draw.py new file mode 100644 index 00000000..393033cd --- /dev/null +++ b/epymorph/draw.py @@ -0,0 +1,245 @@ +from io import BytesIO +from os import makedirs, path +from shutil import which +from tempfile import NamedTemporaryFile +from typing import Union + +import matplotlib.pyplot as plt +from graphviz import Digraph +from IPython import display +from matplotlib.image import imread +from sympy import Expr, preview + +from epymorph.compartment_model import CompartmentModel + + +class EdgeTracker(): + """ class for keeping track of the edges added to the visualization """ + + def __init__(self): + self.edge_dict = {} + """ + dictionary for tracking edges, key = (head, tail) + value = edge label + """ + + def track_edge(self, head: str, tail: str, label: Expr) -> None: + """ + given a head, tail, and label for an edge, tracks it and updates the + edge label (a sympy expr) if necessary + """ + + # check if edge already exists + if (head, tail) in self.edge_dict: + + # update label by appending given label, adding the expressions + self.edge_dict[(head, tail)] += label + + # edge doesn't exist + else: + + # add edge w/ label to edge dict + self.edge_dict[(head, tail)] = label + + +def check_draw_requirements() -> bool: + """ + checks if the requirements necessary for draw module are installed, if not, + displays messages to help guide installation + """ + # check for latex installation + latexCheck = which('latex') + + # check for graphviz installation + graphvizCheck = which('dot') + + # print errors if needed for latex check + if latexCheck is None: + print("ERROR: No LaTeX converter found for ipm visualization. We reccomend " + + "MikTeX, found at https://miktex.org/download") + + # print errors if needed for graphviz check + if graphvizCheck is None: + print("ERROR: Graphviz not found for ipm visualization. Intallation guides " + + "can be found at https://graphviz.org/download/") + + return latexCheck is not None and graphvizCheck is not None + + +def build_ipm_edge_set(ipm: CompartmentModel) -> EdgeTracker: + """ + given an ipm, creates an edge tracker object that converts the transitions + of the ipm into a set of adjacencies. + """ + # init a tracker to be used for tacking edges and edge labels + tracker = EdgeTracker() + + # fetch ipm event data + ipm_events = ipm.events + + # init graph for model visualization to save to png, strict flag makes + # it so repeated edges are merged + + # render edges + for event in ipm_events: + + # get the current head and tail of the edge + curr_head, curr_tail = str(event.compartment_from), \ + str(event.compartment_to) + + # add edge to tracker, using the rate as the label + tracker.track_edge(curr_head, curr_tail, event.rate) + + # return set of nodes and edges + return tracker + + +def edge_to_graphviz(edge_set: EdgeTracker) -> Digraph: + """ + given a set of edges from an edge tracker, converts into a graphviz directed + graph for visualization purposes + """ + + def png_to_label(png_filepath: str) -> str: + """ + helper function for displaying an image label using graphviz, requires + the image to be in a table + """ + + return ( + f'<
' + + '
>' + ) + + # init a graph viz directed graph for visualization + model_viz = Digraph(format='png', strict=True, + graph_attr={'rankdir': 'LR'}, + node_attr={'shape': 'square', + 'width': '.9', + 'height': '.8'}, + edge_attr={'minlen': '2.0'}) + + # iterate through edges in tracker + for edge, label in edge_set.edge_dict.items(): + + # get the head and tail for the edge + head, tail = edge + + # create a temporary png file to render LaTeX edge label + with NamedTemporaryFile(suffix='.png', delete=False) as temp_png: + + # load label as LaTeX png into temp file + preview(label, viewer='file', filename=temp_png.name, euler=False) + + # render edge + model_viz.edge(head, tail, label=png_to_label(temp_png.name)) + + # return created graphviz model + return model_viz + + +def draw_jupyter(graph: Digraph): + """draws the graph in a jupyter notebook""" + + display.display_png(graph) + + +def draw_console(graph: Digraph): + """draws graph to console""" + + # render png of graph + model_bytes = graph.pipe(format='png') + + # convert png bytes to bytesio object + model_bytes = BytesIO(model_bytes) + + # read the png file for matplotlib visualization + ipm_png = imread(model_bytes) + + # mark the model png as the plot to show + plt.imshow(ipm_png) + + # turn of axes + plt.axis('off') + + # show the model png + plt.show() + + +def draw_and_return(ipm: CompartmentModel, console: bool) -> Union[Digraph, + None]: + """ + main function for converting an ipm into a visual model to be displayed + by default in jupyter notebook, but optionally to console. + returns model for potential further processing, no model if failed + """ + # init ipm graph + ipm_graph = None + + # check for installed software for drawing + if check_draw_requirements(): + + # convert events in ipm to a set of edges + ipm_edge_set = build_ipm_edge_set(ipm) + + # convert set of edges into a visualization using graphviz + ipm_graph = edge_to_graphviz(ipm_edge_set) + + # check to draw to console + if console: + draw_console(ipm_graph) + + # otherwise draw to jupyter + else: + draw_jupyter(ipm_graph) + + # return graph result for potential further processing + return ipm_graph + + +def render(ipm: CompartmentModel, console: bool = False) -> None: + """ + default render function, draws to jupyter by default + """ + draw_and_return(ipm, console) + + +def render_and_save(ipm: CompartmentModel, file_name: str, + console: bool = False) -> None: + """ + render function that saves to file system, draws jupyter by default + """ + + # draw ipm, get result back + ipm_graph = draw_and_return(ipm, console) + + # save to file system if graph not empty + if ipm_graph: + save_model(ipm_graph, file_name) + + +def save_model(ipm_graph: Digraph, filename: str) -> bool: + """ + function that saves a given graphviz ipm digraph to a png in the + 'model_pngs' folder with the given file name. Creates the folder if it + does not exist. Returns file creation success (true) or error (false) + """ + + # ensure filename not empty + if filename: + + # create visualization directory if it doesn't exist + if not path.exists('model_pngs'): + + # doesn't exist, create the directory + makedirs('model_pngs') + + # render and save png + ipm_graph.render(filename, directory='model_pngs', cleanup=True) + + return True + + # file name is empty, print err message + print("ERR: no file name provided, could not save model") + + return False diff --git a/epymorph/test/draw_test.py b/epymorph/test/draw_test.py new file mode 100644 index 00000000..f501bcf6 --- /dev/null +++ b/epymorph/test/draw_test.py @@ -0,0 +1,56 @@ +import unittest +from os import path, remove, rmdir + +from graphviz import Digraph +from sympy import Max, symbols + +import epymorph.draw +from epymorph import ipm_library +from epymorph.compartment_model import CompartmentModel + + +class DrawTest(unittest.TestCase): + + def test_build_edges(self): + test_ipm = ipm_library['sirs']() + test_edge_set = epymorph.draw.build_ipm_edge_set(test_ipm) + + S, I, R, beta, gamma, xi = symbols('S I R beta gamma xi') + + N = Max(1, S + I + R) + + self.assertEqual(test_edge_set.edge_dict[('S', 'I')], beta * S * I / N) + self.assertEqual(test_edge_set.edge_dict[('I', 'R')], gamma * I) + self.assertEqual(test_edge_set.edge_dict[('R', 'S')], xi * R) + + def test_edge_tracker(self): + test_tracker = epymorph.draw.EdgeTracker() + + c, d = symbols('c d') + + test_tracker.track_edge('a', 'b', c + d) + test_tracker.track_edge('a', 'c', d + d) + test_tracker.track_edge('a', 'b', c * d) + + self.assertEqual(c + d + c * d, test_tracker.edge_dict[('a', 'b')]) + self.assertEqual(d + d, test_tracker.edge_dict[('a', 'c')]) + + def test_save(self): + # if model_pngs didnt exist before the test, delete it + remove_dir_check = not path.exists('model_pngs') + + test_graph = Digraph(format='png') + + test_graph.edge("a", "b", "label") + + self.assertFalse(epymorph.draw.save_model(test_graph, '')) + + self.assertTrue(epymorph.draw.save_model(test_graph, 'test_model')) + + self.assertTrue(path.exists('model_pngs/test_model.png')) + + remove('model_pngs/test_model.png') + + # delete directory if it didnt exist before test + if remove_dir_check: + rmdir('model_pngs') diff --git a/epymorph/test/viz_test.py b/epymorph/test/viz_test.py deleted file mode 100644 index d780e4cf..00000000 --- a/epymorph/test/viz_test.py +++ /dev/null @@ -1,60 +0,0 @@ -import unittest -from os import path, remove, rmdir - -from graphviz import Digraph -from sympy import Symbol - -import epymorph.viz -from epymorph import ipm_library -from epymorph.compartment_model import CompartmentModel - - -class VizTest(unittest.TestCase): - test_ipm = ipm_library['sirs']() - test_graph = epymorph.viz.build_ipm_graph(test_ipm) - - def test_build_model(self): - edge_prefixes = ['\tS -> I', '\tI -> R', '\tR -> S'] - - graph_attrs = self.test_graph.__dict__ - - self.assertEqual(graph_attrs['_format'], 'png') - self.assertEqual(graph_attrs['_encoding'], 'utf-8') - self.assertEqual(graph_attrs['filename'], 'Digraph.gv') - self.assertEqual(graph_attrs['graph_attr']['rankdir'], 'LR') - self.assertEqual(graph_attrs['node_attr']['shape'], 'square') - self.assertEqual(graph_attrs['node_attr']['width'], '.9') - self.assertEqual(graph_attrs['node_attr']['height'], '.8') - self.assertEqual(graph_attrs['edge_attr']['minlen'], '2.0') - - for edge_index in range(len(graph_attrs['body'])): - self.assertTrue(graph_attrs['body'][edge_index].startswith( - edge_prefixes[edge_index])) - - def test_edge_tracker(self): - test_tracker = epymorph.viz.EdgeTracker() - - c = Symbol('c') - d = Symbol('d') - - test_tracker.track_edge('a', 'b', c + d) - test_tracker.track_edge('a', 'c', d + d) - test_tracker.track_edge('a', 'b', c * d) - - self.assertEqual(c + d + c * d, test_tracker.get_edge_label('a', 'b')) - self.assertEqual(d + d, test_tracker.get_edge_label('a', 'c')) - - def test_pngtolabel(self): - self.assertEqual(epymorph.viz.png_to_label('test_path'), - '<
>') - - def test_save(self): - self.assertFalse(epymorph.viz.save_model(self.test_graph, '')) - - self.assertTrue(epymorph.viz.save_model(self.test_graph, 'test_model')) - - self.assertTrue(path.exists('model_pngs/test_model.png')) - - remove('model_pngs/test_model.png') - - rmdir('model_pngs') diff --git a/epymorph/viz.py b/epymorph/viz.py deleted file mode 100644 index a57b3526..00000000 --- a/epymorph/viz.py +++ /dev/null @@ -1,192 +0,0 @@ -from io import BytesIO -from os import makedirs, path -from tempfile import NamedTemporaryFile - -import matplotlib.pyplot as plt -from graphviz import Digraph, Graph -from IPython import display -from matplotlib.image import imread -from sympy import Expr, Symbol, preview - - -class ipmDraw(): - """class for functions related to drawing a graphviz ipm graph""" - - @staticmethod - def jupyter(graph: Digraph): - """draws the graph in a jupyter notebook""" - - display.display_png(graph) - - @staticmethod - def console(graph: Digraph): - """draws graph to console""" - - # render png of graph - model_bytes = graph.pipe(format='png') - - # convert png bytes to bytesio object - model_bytes = BytesIO(model_bytes) - - # read the png file for matplotlib visualization - ipm_png = imread(model_bytes) - - # mark the model png as the plot to show - plt.imshow(ipm_png) - - # turn of axes - plt.axis('off') - - # show the model png - plt.show() - - -class EdgeTracker(): - """ class for keeping track of the edges added to the visualization """ - - def __init__(self): - self.edge_dict = {} - """ - dictionary for tracking edges, key = (head, tail) - value = edge label - """ - - def track_edge(self, head: str, tail: str, label: Expr) -> None: - """ - given a head, tail, and label for an edge, tracks it and updates the - edge label (a sympy expr) if necessary - """ - - # check if edge already exists - if (head, tail) in self.edge_dict: - - # update label by appending given label, adding the expressions - self.edge_dict[(head, tail)] += label - - # edge doesn't exist - else: - - # add edge w/ label to edge dict - self.edge_dict[(head, tail)] = label - - def get_edge_label(self, head: str, tail: str) -> str: - """ given a head and tail for an edge, return its label """ - - # ensure label exists - if (head, tail) in self.edge_dict: - - # return label for given edge - return self.edge_dict[(head, tail)] - - # not in list, return empty expression - return "" - - -def build_ipm_graph(ipm) -> Digraph: - """ - primary function for creating a model visualization, given an ipm label - that exists within the ipm library - """ - # init a tracker to be used for tacking edges and edge labels - tracker = EdgeTracker() - - # fetch ipm event data - ipm_events = ipm.events - - # init graph for model visualization to save to png, strict flag makes - # it so repeated edges are merged - model_viz = Digraph(format='png', strict=True, - graph_attr={'rankdir': 'LR'}, - node_attr={'shape': 'square', - 'width': '.9', - 'height': '.8'}, - edge_attr={'minlen': '2.0'}) - - # render edges - for event in ipm_events: - - # get the current head and tail of the edge - curr_head, curr_tail = str(event.compartment_from), \ - str(event.compartment_to) - - # add edge to tracker, using the rate as the label - tracker.track_edge(curr_head, curr_tail, event.rate) - - # get santized edge label from newly tracked edge - label_expr = tracker.get_edge_label(curr_head, curr_tail) - - # create a temporary png file to render LaTeX edge label - with NamedTemporaryFile(suffix='.png', - delete=False) as temp_png: - - # load label as LaTeX png into temp file - preview(label_expr, viewer='file', filename=temp_png.name, - euler=False) - - # render edge - model_viz.edge(curr_head, curr_tail, - label=png_to_label(temp_png.name)) - - # return created visualization graph - return model_viz - - -def render(ipm, save: bool = False, filename: str = "", - console: bool = False) \ - -> None: - """ - main function for converting an ipm into a visual model - ipm: the model to be converted - save: inidicates if the model should be saved - filename: file name to save to, if model is to be saved - console: flag for printing to console vs the standard output to jupyter - """ - ipm_graph = build_ipm_graph(ipm) - - if console: - ipmDraw.console(ipm_graph) - - else: - ipmDraw.jupyter(ipm_graph) - - if save: - save_model(ipm_graph, filename) - - -def save_model(ipm_graph: Digraph, filename: str) -> bool: - """ - function that saves a given graphviz ipm digraph to a png in the - 'model_pngs' folder with the given file name. Creates the folder if it - does not exist - """ - - # ensure filename not empty - if filename: - - # create visualization directory if it doesn't exist - if not path.exists('model_pngs'): - - # doesn't exist, create the directory - makedirs('model_pngs') - - # render and save png - ipm_graph.render(filename, directory='model_pngs', cleanup=True) - - return True - - # file name is empty, print err message - print("ERR: no file name provided, could not save model") - - return False - - -def png_to_label(png_filepath: str) -> str: - """ - helper function for displaying an image label using graphvz, requires the - image to be in a table - """ - - return ( - f'<
' + - '
>' - ) From 89d14de711f442386e23c2be65d6c21d0f3072ca Mon Sep 17 00:00:00 2001 From: IzMo2000 Date: Sat, 23 Mar 2024 14:22:58 -0700 Subject: [PATCH 16/23] removed save test since it requires graphviz --- epymorph/test/draw_test.py | 20 -------------------- 1 file changed, 20 deletions(-) diff --git a/epymorph/test/draw_test.py b/epymorph/test/draw_test.py index f501bcf6..5228aca9 100644 --- a/epymorph/test/draw_test.py +++ b/epymorph/test/draw_test.py @@ -34,23 +34,3 @@ def test_edge_tracker(self): self.assertEqual(c + d + c * d, test_tracker.edge_dict[('a', 'b')]) self.assertEqual(d + d, test_tracker.edge_dict[('a', 'c')]) - - def test_save(self): - # if model_pngs didnt exist before the test, delete it - remove_dir_check = not path.exists('model_pngs') - - test_graph = Digraph(format='png') - - test_graph.edge("a", "b", "label") - - self.assertFalse(epymorph.draw.save_model(test_graph, '')) - - self.assertTrue(epymorph.draw.save_model(test_graph, 'test_model')) - - self.assertTrue(path.exists('model_pngs/test_model.png')) - - remove('model_pngs/test_model.png') - - # delete directory if it didnt exist before test - if remove_dir_check: - rmdir('model_pngs') From 372c5116c4e716e2d5de53c9d813f5a6382f63d8 Mon Sep 17 00:00:00 2001 From: IzMo2000 Date: Sat, 23 Mar 2024 14:25:11 -0700 Subject: [PATCH 17/23] cleaned up testing imports --- epymorph/test/draw_test.py | 3 --- 1 file changed, 3 deletions(-) diff --git a/epymorph/test/draw_test.py b/epymorph/test/draw_test.py index 5228aca9..360bca6c 100644 --- a/epymorph/test/draw_test.py +++ b/epymorph/test/draw_test.py @@ -1,12 +1,9 @@ import unittest -from os import path, remove, rmdir -from graphviz import Digraph from sympy import Max, symbols import epymorph.draw from epymorph import ipm_library -from epymorph.compartment_model import CompartmentModel class DrawTest(unittest.TestCase): From bf82ea74410d135a25e56160ea920f9cc4795d19 Mon Sep 17 00:00:00 2001 From: IzMo2000 Date: Sat, 30 Mar 2024 09:27:03 -0700 Subject: [PATCH 18/23] applied changes from code review, namely changing file saving to a specified path instead of creaating a directory, adding explanation on reccomended Latex converters, and modifying the edge builder unit test --- epymorph/draw.py | 38 ++++++++++++++++++++------------------ epymorph/test/draw_test.py | 5 +++++ 2 files changed, 25 insertions(+), 18 deletions(-) diff --git a/epymorph/draw.py b/epymorph/draw.py index 393033cd..fd146682 100644 --- a/epymorph/draw.py +++ b/epymorph/draw.py @@ -55,8 +55,9 @@ def check_draw_requirements() -> bool: # print errors if needed for latex check if latexCheck is None: - print("ERROR: No LaTeX converter found for ipm visualization. We reccomend " + - "MikTeX, found at https://miktex.org/download") + print("ERROR: No LaTeX converter found for ipm visualization.") + print("We reccomend MikTeX, found at https://miktex.org/download, or TexLive, found at https://tug.org/texlive/.") + print("These interpretters are reccomended by SymPy, a package we use for mathematical expressions.") # print errors if needed for graphviz check if graphvizCheck is None: @@ -204,7 +205,7 @@ def render(ipm: CompartmentModel, console: bool = False) -> None: draw_and_return(ipm, console) -def render_and_save(ipm: CompartmentModel, file_name: str, +def render_and_save(ipm: CompartmentModel, file_path: str, console: bool = False) -> None: """ render function that saves to file system, draws jupyter by default @@ -215,31 +216,32 @@ def render_and_save(ipm: CompartmentModel, file_name: str, # save to file system if graph not empty if ipm_graph: - save_model(ipm_graph, file_name) + save_model(ipm_graph, file_path) -def save_model(ipm_graph: Digraph, filename: str) -> bool: +def save_model(ipm_graph: Digraph, filepath: str) -> bool: """ function that saves a given graphviz ipm digraph to a png in the - 'model_pngs' folder with the given file name. Creates the folder if it - does not exist. Returns file creation success (true) or error (false) + given file path. Returns true upon save success, false upon save failure """ - # ensure filename not empty - if filename: + # ensure filepath not empty + if filepath: - # create visualization directory if it doesn't exist - if not path.exists('model_pngs'): + # get the directory and filename + directory, filename = path.split(filepath) - # doesn't exist, create the directory - makedirs('model_pngs') + # ensure directory exists + if path.exists(directory): + # render and save png + ipm_graph.render(filename=filename, directory=directory, + cleanup=True) - # render and save png - ipm_graph.render(filename, directory='model_pngs', cleanup=True) - - return True + # display save succes + print(f"Model saved successfully at {filepath}") + return True # file name is empty, print err message - print("ERR: no file name provided, could not save model") + print("ERR: inavlid file path, could not save model") return False diff --git a/epymorph/test/draw_test.py b/epymorph/test/draw_test.py index 360bca6c..2f28a66c 100644 --- a/epymorph/test/draw_test.py +++ b/epymorph/test/draw_test.py @@ -9,6 +9,10 @@ class DrawTest(unittest.TestCase): def test_build_edges(self): + """ + Tests the conversion between ipm edges and an edge tracker object + WARNING: Will stop working if SIRS model changes and/or is deleted! + """ test_ipm = ipm_library['sirs']() test_edge_set = epymorph.draw.build_ipm_edge_set(test_ipm) @@ -19,6 +23,7 @@ def test_build_edges(self): self.assertEqual(test_edge_set.edge_dict[('S', 'I')], beta * S * I / N) self.assertEqual(test_edge_set.edge_dict[('I', 'R')], gamma * I) self.assertEqual(test_edge_set.edge_dict[('R', 'S')], xi * R) + self.assertEqual(len(test_edge_set.edge_dict), 3) def test_edge_tracker(self): test_tracker = epymorph.draw.EdgeTracker() From eb47fece8c70a698ddd174ea11dc7b98f69790bf Mon Sep 17 00:00:00 2001 From: Tyler Coles Date: Mon, 1 Apr 2024 18:06:30 -0700 Subject: [PATCH 19/23] Typo/convention fixes. --- epymorph/draw.py | 28 +++++++++++++--------------- 1 file changed, 13 insertions(+), 15 deletions(-) diff --git a/epymorph/draw.py b/epymorph/draw.py index fd146682..3a8dd478 100644 --- a/epymorph/draw.py +++ b/epymorph/draw.py @@ -1,8 +1,7 @@ from io import BytesIO -from os import makedirs, path +from os import path from shutil import which from tempfile import NamedTemporaryFile -from typing import Union import matplotlib.pyplot as plt from graphviz import Digraph @@ -13,7 +12,7 @@ from epymorph.compartment_model import CompartmentModel -class EdgeTracker(): +class EdgeTracker: """ class for keeping track of the edges added to the visualization """ def __init__(self): @@ -48,23 +47,23 @@ def check_draw_requirements() -> bool: displays messages to help guide installation """ # check for latex installation - latexCheck = which('latex') + latex_check = which('latex') # check for graphviz installation - graphvizCheck = which('dot') + graphviz_check = which('dot') # print errors if needed for latex check - if latexCheck is None: - print("ERROR: No LaTeX converter found for ipm visualization.") - print("We reccomend MikTeX, found at https://miktex.org/download, or TexLive, found at https://tug.org/texlive/.") - print("These interpretters are reccomended by SymPy, a package we use for mathematical expressions.") + if latex_check is None: + print("ERROR: No LaTeX converter found for IPM visualization.") + print("We recommend MiKTeX, found at https://miktex.org/download, or TexLive, found at https://tug.org/texlive/.") + print("These distributions are recommended by SymPy, a package we use for mathematical expressions.") # print errors if needed for graphviz check - if graphvizCheck is None: - print("ERROR: Graphviz not found for ipm visualization. Intallation guides " + + if graphviz_check is None: + print("ERROR: Graphviz not found for IPM visualization. Installation guides " + "can be found at https://graphviz.org/download/") - return latexCheck is not None and graphvizCheck is not None + return latex_check is not None and graphviz_check is not None def build_ipm_edge_set(ipm: CompartmentModel) -> EdgeTracker: @@ -167,8 +166,7 @@ def draw_console(graph: Digraph): plt.show() -def draw_and_return(ipm: CompartmentModel, console: bool) -> Union[Digraph, - None]: +def draw_and_return(ipm: CompartmentModel, console: bool) -> Digraph | None: """ main function for converting an ipm into a visual model to be displayed by default in jupyter notebook, but optionally to console. @@ -242,6 +240,6 @@ def save_model(ipm_graph: Digraph, filepath: str) -> bool: return True # file name is empty, print err message - print("ERR: inavlid file path, could not save model") + print("ERR: invalid file path, could not save model") return False From a0eb78f321cfaade8fcc6e8b6912543550cf781a Mon Sep 17 00:00:00 2001 From: Tyler Coles Date: Mon, 1 Apr 2024 18:06:51 -0700 Subject: [PATCH 20/23] Added a blurb to USAGE about the diagrams. --- USAGE.ipynb | 36 ++++++++++++++++++++++++++++++++---- 1 file changed, 32 insertions(+), 4 deletions(-) diff --git a/USAGE.ipynb b/USAGE.ipynb index 9c32f5d3..4dbff244 100644 --- a/USAGE.ipynb +++ b/USAGE.ipynb @@ -74,7 +74,7 @@ "• 2015-01-01 to 2015-05-31 (150 days)\n", "• 6 geo nodes\n", "|####################| 100% \n", - "Runtime: 0.290s\n" + "Runtime: 0.130s\n" ] } ], @@ -148,7 +148,7 @@ "outputs": [ { "data": { - "image/png": "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", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAHWCAYAAAD6oMSKAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAACGlUlEQVR4nOzdd3QU1d8G8Ge2ZNN7D0kIoZckkEAIiIBEEZAfWGiigL0rYgN9QbEhFkAFwQbYkCKKHSnShFAChN4JJKT3Td1sue8fmywsCZC+yeb5nDNnd2fuzn5nIMmzM3fuSEIIASIiIiJq8WSWLoCIiIiIGgaDHREREZGVYLAjIiIishIMdkRERERWgsGOiIiIyEow2BERERFZCQY7IiIiIivBYEdERERkJRjsiIiIiKwEgx0RmRk0aBAGDRpk6TLqrW3btrjjjjssXQYRUZNisCNqBMuXL4ckSabJ1tYWHTt2xNNPP42MjAxLl0dUb6mpqXjjjTeQkJBg6VJqZMWKFViwYEG91nHhwgWzn+srp759+5raTZkyBY6OjvWsmKhuFJYugMiavfnmmwgJCUFZWRn+++8/LF68GH/99ReOHj0Ke3t7S5dHVGepqamYPXs22rZti4iICEuXc0MrVqzA0aNHMXXq1Hqva8KECRg+fLjZPC8vr3qvl6ghMNgRNaJhw4YhKioKAPDwww/Dw8MD8+bNw6+//ooJEyZU+57i4mI4ODg0ZZlENabT6WAwGCxdhkX16tUL9913n6XLIKoWT8USNaFbbrkFAJCYmAjg8imbc+fOYfjw4XBycsLEiRMBAAaDAQsWLEC3bt1ga2sLHx8fPPbYY8jLyzOt74477kC7du2q/ayYmBhTqASAZcuW4ZZbboG3tzdUKhW6du2KxYsX16hujUaD119/He3bt4dKpUJgYCBefvllaDQas3aSJOHpp5/GunXr0L17d6hUKnTr1g3r16+vss6UlBQ89NBD8Pf3h0qlQkhICJ544gmUl5eb2uTn52Pq1KkIDAyESqVC+/btMXfu3FoFiw0bNiAiIgK2trbo2rUrfv75Z9Oy8+fPQ5IkzJ8/v8r7du3aBUmS8OOPP153/WVlZXjjjTfQsWNH2Nraws/PD3fddRfOnTtnalNcXIwXXnjBtB2dOnXChx9+CCFEtftvzZo16Nq1K+zs7BATE4MjR44AAD7//HO0b98etra2GDRoEC5cuGD2/kGDBqF79+7Yv38/+vXrBzs7O4SEhGDJkiVm7crLyzFr1ixERkbCxcUFDg4OGDBgALZs2WLWrvLU44cffogFCxYgNDQUKpUKn332GXr37g0AeOCBB0ynI5cvX25Wx+HDhzFw4EDY29ujffv2+OmnnwAA27ZtQ3R0NOzs7NCpUyds2rSpyn5NSUnBgw8+CB8fH9P/o6VLl5q12bp1KyRJwurVq/HOO++gTZs2sLW1xZAhQ3D27Fmz/fLnn3/i4sWLplrbtm1rWp6UlISTJ09e65+YqGURRNTgli1bJgCIffv2mc3/+OOPBQCxZMkSIYQQkydPFiqVSoSGhorJkyeLJUuWiG+//VYIIcTDDz8sFAqFeOSRR8SSJUvEK6+8IhwcHETv3r1FeXm5EEKIb7/9VgAQe/fuNfucCxcuCADigw8+MM3r3bu3mDJlipg/f7749NNPxW233SYAiIULF5q9d+DAgWLgwIGm13q9Xtx2223C3t5eTJ06VXz++efi6aefFgqFQowaNcrsvQBEeHi48PPzE2+99ZZYsGCBaNeunbC3txfZ2dmmdikpKcLf39+0ziVLloiZM2eKLl26iLy8PCGEEMXFxSIsLEx4eHiIV199VSxZskRMmjRJSJIknnvuuRv+GwQHB4uOHTsKV1dXMX36dDFv3jzRo0cPIZPJxIYNG0zt+vfvLyIjI6u8/8knnxROTk6iuLj4mp+h0+nEkCFDBAAxfvx4sXDhQjFnzhxxyy23iHXr1gkhhDAYDOKWW24RkiSJhx9+WCxcuFCMHDlSABBTp06tsv/CwsJEYGCgeO+998R7770nXFxcRFBQkFi4cKHo2rWr+Oijj8T//d//CRsbGzF48GCz9w8cOFD4+/sLb29v8fTTT4tPPvlE3HTTTQKA+Prrr03tsrKyhJ+fn5g2bZpYvHixeP/990WnTp2EUqkUBw8eNLVLTEwUAETXrl1Fu3btxHvvvSfmz58vLly4IN58800BQDz66KPiu+++E9999504d+6cWR2BgYHipZdeEp9++qno2rWrkMvlYuXKlcLX11e88cYbYsGCBSIgIEC4uLgItVpt+tz09HTRpk0bERgYKN58802xePFi8b///U8AEPPnzze127JliwAgevbsKSIjI8X8+fPFG2+8Iezt7UWfPn1M7TZs2CAiIiKEp6enqdZffvnFbL/V5M9h5f6YPXu2yMrKMpsqfyaFMP5cOzg43HB9RI2BwY6oEVQGu02bNomsrCyRnJwsVq5cKTw8PISdnZ24dOmSEML4BwCAmD59utn7d+zYIQCIH374wWz++vXrzeYXFBQIlUolXnjhBbN277//vpAkSVy8eNE0r6SkpEqdQ4cOFe3atTObd3Ww++6774RMJhM7duwwa7dkyRIBQOzcudM0D4CwsbERZ8+eNc07dOiQACA+/fRT07xJkyYJmUxWJfgKYQxCQgjx1ltvCQcHB3H69Gmz5dOnTxdyuVwkJSVVee+VgoODBQCxdu1a07yCggLh5+cnevbsaZr3+eefCwDixIkTpnnl5eXC09NTTJ48+bqfsXTpUgFAzJs375rbsW7dOgFAvP3222bL77nnHiFJktm+AiBUKpVITEysUp+vr69Z+JkxY4YAYNa2MqB89NFHpnkajUZEREQIb29vU/jQ6XRCo9GY1ZOXlyd8fHzEgw8+aJpXGWScnZ1FZmamWft9+/YJAGLZsmVVtr2yjhUrVpjmnTx5UgAQMplM7N692zT/n3/+qbKehx56SPj5+Zl9GRBCiPHjxwsXFxfT/+XKYNelSxez7an8AnXkyBHTvBEjRojg4OAqtV5Z741U7o/qpi1btpjaMdiRJfFULFEjio2NhZeXFwIDAzF+/Hg4Ojril19+QUBAgFm7J554wuz1mjVr4OLigltvvRXZ2dmmKTIyEo6OjqZTZs7Ozhg2bBhWr15tdlpv1apV6Nu3L4KCgkzz7OzsTM8LCgqQnZ2NgQMH4vz58ygoKLjmNqxZswZdunRB586dzWqpPK189em72NhYhIaGml6HhYXB2dkZ58+fB2A8xbxu3TqMHDnS7FRxJUmSTJ87YMAAuLm5mX1ubGws9Ho9tm/ffs2aK/n7++POO+80vXZ2dsakSZNw8OBBpKenAwDGjh0LW1tb/PDDD6Z2//zzD7Kzs2/Yj2rt2rXw9PTEM888c83t+OuvvyCXy/Hss8+aLX/hhRcghMDff/9tNn/IkCFmpwmjo6MBAHfffTecnJyqzK/cr5UUCgUee+wx02sbGxs89thjyMzMxP79+wEAcrkcNjY2AIz/Hrm5udDpdIiKisKBAweqbMvdd99d64sDHB0dMX78eNPrTp06wdXVFV26dDHVXt12CCGwdu1ajBw5EkIIs3/7oUOHoqCgoEqNDzzwgGl7AGDAgAHV7ptr2bp1a5XT4tfz6KOPYuPGjWZTeHh4jd9P1Jh48cQNbN++HR988AH279+PtLQ0/PLLLxg9enSN3//GG29g9uzZVebb29ujuLi4ASul5mjRokXo2LEjFAoFfHx80KlTJ8hk5t+nFAoF2rRpYzbvzJkzKCgogLe3d7XrzczMND0fN24c1q1bh7i4OPTr1w/nzp3D/v37qwztsHPnTrz++uuIi4tDSUmJ2bKCggK4uLhU+1lnzpzBiRMnrvmH/cpaAJiFyUpubm6mvoFZWVlQq9Xo3r17teu78nMPHz5c48+tTvv27U0Bq1LHjh0BGPuP+fr6wtXVFSNHjsSKFSvw1ltvAQB++OEHBAQEmMLrtZw7dw6dOnWCQnHtX6UXL16Ev7+/WSgDgC5dupiWX+nq/Vf57xIYGFjt/Cv7XALGMHv1xTdXbnPlsBzffPMNPvroI5w8eRJardbUNiQkpMo2VDfvRtq0aVNl37u4uNxwO7KyspCfn48vvvgCX3zxRbXrvtH/OTc3N7N1NrQOHTogNja2UdZNVF8MdjdQXFyM8PBwPPjgg7jrrrtq/f4XX3wRjz/+uNm8IUOGmDoek3Xr06dPtUelrqRSqaqEPYPBAG9vb7OjSFe6MuyMHDkS9vb2WL16Nfr164fVq1dDJpNhzJgxpjbnzp3DkCFD0LlzZ8ybNw+BgYGwsbHBX3/9hfnz51/3YgSDwYAePXpg3rx51S6/+g+1XC6vtl1tjohUfu6tt96Kl19+udrllWGlIUyaNAlr1qzBrl270KNHD/z222948sknq/y7NIVr7b+G2q8A8P3332PKlCkYPXo0XnrpJXh7e0Mul2POnDlmF31UuvJob03VdTsq/y/ed999mDx5crVtw8LCarVOotaEwe4Ghg0bhmHDhl1zuUajwWuvvYYff/wR+fn56N69O+bOnWsaud/R0dFsoMpDhw7h+PHjVa5SI7pSaGgoNm3ahP79+9/wj6qDgwPuuOMOrFmzBvPmzcOqVaswYMAA+Pv7m9r8/vvv0Gg0+O2338yOblx9GvVatRw6dAhDhgypcgSmLry8vODs7IyjR4/e8HOLiorqdWTk7NmzEEKY1X369GkAMDvdefvtt8PLyws//PADoqOjUVJSgvvvv/+G6w8NDcWePXug1WqhVCqrbRMcHIxNmzahsLDQ7Khd5VWYwcHBddm0a0pNTa0yZM7V2/zTTz+hXbt2+Pnnn832zeuvv17jz2mI/wvV8fLygpOTE/R6fYMeFWuseomaG/axq6enn34acXFxWLlyJQ4fPowxY8bg9ttvx5kzZ6pt/9VXX6Fjx46mPiBE1Rk7diz0er3p1OCVdDod8vPzzeaNGzcOqamp+Oqrr3Do0CGMGzfObHnlEY0rj2AUFBRg2bJlNaolJSUFX375ZZVlpaWlte5SIJPJMHr0aPz++++Ij4+vsryyxrFjxyIuLg7//PNPlTb5+fnQ6XQ3/KzU1FT88ssvptdqtRrffvstIiIi4Ovra5qvUCgwYcIErF69GsuXL0ePHj2qHBWqzt13343s7GwsXLjwmtsxfPhw6PX6Km3mz58PSZKu+8WxLnQ6HT7//HPT6/Lycnz++efw8vJCZGQkgOr/P+zZswdxcXE1/pzK4Hj1/8X6ksvluPvuu7F27dpqw39WVlad1uvg4HDNvqQc7oSsCY/Y1UNSUhKWLVuGpKQk09GRF198EevXr8eyZcvw7rvvmrUvKyvDDz/8gOnTp1uiXGpBBg4ciMceewxz5sxBQkICbrvtNiiVSpw5cwZr1qzBxx9/jHvuucfUvnIMvBdffNH0h/FKt912G2xsbDBy5Eg89thjKCoqwpdffglvb2+kpaVdt5b7778fq1evxuOPP44tW7agf//+0Ov1OHnyJFavXo1//vnnhqebr/buu+9iw4YNGDhwIB599FF06dIFaWlpWLNmDf777z+4urripZdewm+//YY77rgDU6ZMQWRkJIqLi3HkyBH89NNPuHDhAjw9Pa/7OR07dsRDDz2Effv2wcfHB0uXLkVGRka1gXbSpEn45JNPsGXLFsydO7dG2zFp0iR8++23mDZtGvbu3YsBAwaguLgYmzZtwpNPPolRo0Zh5MiRGDx4MF577TVcuHAB4eHh2LBhA3799VdMnTrV7EKThuDv74+5c+fiwoUL6NixI1atWoWEhAR88cUXpqOKd9xxB37++WfceeedGDFiBBITE7FkyRJ07doVRUVFNfqc0NBQuLq6YsmSJXBycoKDgwOio6Pr1B/vau+99x62bNmC6OhoPPLII+jatStyc3Nx4MABbNq0Cbm5ubVeZ2RkJFatWoVp06ahd+/ecHR0xMiRIwEY/x23bdvWoKdutVot3n777Srz3d3d8eSTTzbY5xBVYYErcVssAGZjH/3xxx8CgHBwcDCbFAqFGDt2bJX3r1ixQigUCpGent6EVZMlXGscu6vdaFiEL774QkRGRgo7Ozvh5OQkevToIV5++WWRmppape3EiRMFABEbG1vtun777TcRFhYmbG1tRdu2bcXcuXNNw3VcPWTGlcOdCGEc/mPu3LmiW7duQqVSCTc3NxEZGSlmz54tCgoKTO0AiKeeeqrKZwcHB1cZOuTixYti0qRJwsvLS6hUKtGuXTvx1FNPmQ1bUVhYKGbMmCHat28vbGxshKenp+jXr5/48MMPzcYNq05wcLAYMWKE+Oeff0RYWJhQqVSic+fOYs2aNdd8T7du3YRMJjMNR1MTJSUl4rXXXhMhISFCqVQKX19fcc8995jGdKvcjueff174+/sLpVIpOnToID744APTkCiVqtt/lUNsXDkmoRCXh/q4cnsGDhwounXrJuLj40VMTIywtbUVwcHBVcYqNBgM4t133xXBwcFCpVKJnj17ij/++ENMnjzZbEiQa312pV9//VV07dpVKBQKsyFLKuu4WuW/ydWq2+6MjAzx1FNPicDAQNN+HTJkiPjiiy+uuw+urPvKIVSKiorEvffeK1xdXQUAs+2s7XAn19oflSqHMapuCg0NveHnENWHJAR7l9aUJElmV8WuWrUKEydOxLFjx6p03nV0dDQ71QMYL5pwdnY2OzVERM1Hz5494e7ujs2bN1u6lDoZNGgQsrOzb9h/kYisF0/F1kPPnj2h1+uRmZl5wz5ziYmJ2LJlC3777bcmqo6IaiM+Ph4JCQmm22IREbVEDHY3UFRUZHbPwcTERCQkJMDd3R0dO3bExIkTMWnSJHz00Ufo2bMnsrKysHnzZoSFhWHEiBGm9y1duhR+fn4N3lGaiOrn6NGj2L9/Pz766CP4+flVufCEiKgl4VWxNxAfH4+ePXuiZ8+eAIBp06ahZ8+emDVrFgDjjdUnTZqEF154AZ06dcLo0aOxb98+syElDAYDli9fjilTplxzvCUisoyffvoJDzzwALRaLX788UfY2tpauiQiojpjHzsiIiIiK8EjdkRERERWgsGOiIiIyErw4olqGAwGpKamwsnJibehISIiIosSQqCwsBD+/v43vIc1g101UlNTq9zYnIiIiMiSkpOT0aZNm+u2YbCrRuWNupOTk+Hs7GzhaoiIiKg1U6vVCAwMNOWT62Gwq0bl6VdnZ2cGOyIiImoWatI9jBdPEBEREVkJBjsiIiIiK8FgR0RERGQl2MeOiIiImjW9Xg+tVmvpMhqNUqlssFuOMtgRERFRsySEQHp6OvLz8y1dSqNzdXWFr69vvcfPZbAjIiKiZqky1Hl7e8Pe3t4qbxoghEBJSQkyMzMBAH5+fvVaH4MdERERNTt6vd4U6jw8PCxdTqOys7MDAGRmZsLb27tep2V58QQRERE1O5V96uzt7S1cSdOo3M769iVksCMiIqJmyxpPv1anobaTwY6IiIjISjDYEREREVkJBjsiIiKiBpaVlYUnnngCQUFBUKlU8PX1xdChQ7Fz585G/VxeFUtERETUwO6++26Ul5fjm2++Qbt27ZCRkYHNmzcjJyenUT+Xwc4ChBDYk5gLuUwyTpJkeq6US3BUKaFSyCCXS1DIJChkMihkEmSy1tGBlIiIqCXLz8/Hjh07sHXrVgwcOBAAEBwcjD59+jT6ZzPYWYBBAOO/2F3r98llEuyUctgq5bCzkcFOKYeNQgYbucz4qJDDRi7BVimHk62yoq0MKoXx0ThfATcHG9gp5cbJRm5ap5u9Ego5z84TEVHzJIRAqVZvkc+2U8prfOWqo6MjHB0dsW7dOvTt2xcqlaqRq7uMwc4CDEIg1MsBBgHoDAYYDMZHvQHQ6g0o0uigN4gq79MbBIo0OhRpdI1Sl0wCnGyVcFQp4KCSVzwq4GynhLeTCm72NnCxU5qmyvm+LrZQMhASEVEjK9Xq0XXWPxb57ONvDoW9Tc1ik0KhwPLly/HII49gyZIl6NWrFwYOHIjx48cjLCysUetksLMApVyGzS8Mum4bg0FAazBAbxDQGQT0eoFyvQFlWj1KtXqUlhsnjd6Act0Vk96A0nI91GVaaHTG9qZHrQEFpVrkl5ajtFyPMq3h8rq0ehgEUFCqRUFp7QdHdLZVwMNRBQ8HG7g72MDD0QY+zrbwd7GDv6sd/FyNz+1sGuYmx0RERM3Z3XffjREjRmDHjh3YvXs3/v77b7z//vv46quvMGXKlEb7XEkIUfXQUCunVqvh4uKCgoICODs7W7qcJqE3COQUaaAu06JIo0dxxZHBojIdCkq1yCgsg7oi9OWXaE0BMLNQg3Kdocaf4+5gAz8XW/i72iHA1Q5+LrYI9XJEe29HBLjZ8cgfEREBAMrKypCYmIiQkBDY2toCaDmnYq/l4YcfxsaNG3Hx4sUqy6rb3kq1ySU8YkcAjP33vJ1t4e1se+PGVzAYBPJKypFbXI6c4suPOUUaZKjLkJJfhrT8UqTml6K4XI/cijbHUtXV1tDGzQ7BHg5o62GPEE8HdPJxQhc/Z7g52DTUphIRUQslSVKNT4c2R127dsW6desa9TNa7t6hZkEmk4ynYB1V6HCddkIIqEt1SC0whrzUgjKk5pciJa8UpzMKcSGnGGVaAy7mlOBiTgm2X/V+X2dbdPFzQld/Z3T3d0H3ABe0cbNrNbeaISKiliMnJwdjxozBgw8+iLCwMDg5OSE+Ph7vv/8+Ro0a1aifzWBHTUKSJLjYK+Fir0QXv6qHkQ0GgcxCDS7kFONCdjEu5JTgXFYRTqarkZxbinR1GdLVZdhyKsv0HmdbBbr5u6B7gDOiQzzQp507nG2VTblZREREVTg6OiI6Ohrz58/HuXPnoNVqERgYiEceeQSvvvpqo342+9hVozX2sWvOCsu0OJVeiBNpahxLVeNoagFOpxehXG/et08mAT0CXNA31AP9Qj3Ru61biz5kT0TUml2vz5k1Yh87ajWcbJWIauuOqLbupnnlOgPOZBbiWIoaB5Pzsft8DhKzi3HoUgEOXSrA59vOQymXEN7GFf1CPdA31AO9gtxgq+RVuUREZL0Y7KhFslHI0M3fBd38XTC2dyAAIK2gFHHncrDrXA7izuUgJb8U8RfzEH8xD5/8exY2Chmigt0wuJM3bu3qg7aeDhbeCiIioobFYEdWw8/FDnf1aoO7erWBEALJuaXYdS4bceeNYS+rUINdFcHvnb9OoIO3I27t6oNbu/ogvI0rb9lGREQtHoMdWSVJkhDkYY8gjyCM7xMEIQTOZRVhx5lsbDqRgT3nc3EmswhnMovw2dZz8HW2xd2RARgTGcgjeURE1GIx2FGrIEkS2ns7ob23Ex7oH4KCEi22ns7EhuMZ2HYqC+nqMizacg6LtpxDnxB3jI0KxPAevrz4goiIWhT+1aJWycVeiVERARgVEQCNTo9/T2RidXwytp3Owt7EXOxNzMXrvx7FyHB/jIlqg15Bbhwzj4iImj0GO2r1VAo5hvXww7AefkgvKMPaA5ewJj4ZF3JKsHJfMlbuS0ZHH0dM6ReCO3sG8H63RETUbHEcu2pwHDsSQmDfhTysjk/Gn4fTTPcmdLVX4t4+QZjSvy28nax/XCUiIkvhOHaX1SaX8I7rRNWQJAl9Qtzx4Zhw7HltCGbe0RWB7nbIL9His63ncNPcLfi/dUeQnFti6VKJiIhMGOyIbsDZVomHbgrB1hcHY8l9kegZ5IpynQHf707CoA+34oXVh5CUw4BHRESWx2BHVENymYTbu/vi5yf64cdH+mJAB0/oDQJrD1zCLR9txYyfjyA1v9TSZRIRkYVNmTIFo0ePtshnM9gR1ZIkSYgJ9cB3D0Xjlyf7YUAHT+gMAj/uTcLgD7fi/fUnUVimtXSZRETUClk02G3fvh0jR46Ev78/JEnCunXrrtt+ypQpkCSpytStWzdTmzfeeKPK8s6dOzfyllBr1TPIDd89FI3Vj8WgT1t3aHQGfLb1HAZ9sBXf7b4Ind5g6RKJiKgVsehwJ8XFxQgPD8eDDz6Iu+6664btP/74Y7z33num1zqdDuHh4RgzZoxZu27dumHTpk2m1woFR3WhxtUnxB2rHuuLjccz8N7fJ3E+uxgz1x3FD7sv4s1R3dEnxN3SJRIRtXxCAFoL9WlW2gMtYDxTiyaeYcOGYdiwYTVu7+LiAhcXF9PrdevWIS8vDw888IBZO4VCAV9f3wark6gmJEnCbd18MbizN1bsScK8jadxMr0QYz+Pw509AzBjeGcOkUJEVB/aEuBdf8t89qupgE3zv+Vki+5j9/XXXyM2NhbBwcFm88+cOQN/f3+0a9cOEydORFJSkoUqpNZIKZdhcr+22PLiIEzoEwRJAn45mILYj7ZhdXwyOHQkERE1lhZ7jjI1NRV///03VqxYYTY/Ojoay5cvR6dOnZCWlobZs2djwIABOHr0KJycnKpdl0ajgUajMb1Wq9WNWju1Du4ONphzVw9M6BOI1345iiMpBXj5p8P4LSEVc+7qgUB3e0uXSETUsijtjUfOLPXZLUCLDXbffPMNXF1dq1xOfOWp3bCwMERHRyM4OBirV6/GQw89VO265syZg9mzZzdmudSKhbVxxS9P9sPX/yVi3sbT+O9sNoYu2I5Zd3TFuN6BvActEVFNSVKLOB1qSS3yVKwQAkuXLsX9998PGxub67Z1dXVFx44dcfbs2Wu2mTFjBgoKCkxTcnJyQ5dMrZxCLsNjA0Pxz9Sb0SfEHSXlekz/+Qge/W4/coo0N14BERFRDbTIYLdt2zacPXv2mkfgrlRUVIRz587Bz8/vmm1UKhWcnZ3NJqLG0NbTAT8+0hczhnWGUi5h4/EMDF2wAzvOZFm6NCIisgIWDXZFRUVISEhAQkICACAxMREJCQmmix1mzJiBSZMmVXnf119/jejoaHTv3r3KshdffBHbtm3DhQsXsGvXLtx5552Qy+WYMGFCo24LUU3JZRIeGxiKX5+6CR19HJFdpMGkpXvx0YZTHPeOiMgKLF++/IZj8zYWiwa7+Ph49OzZEz179gQATJs2DT179sSsWbMAAGlpaVWuaC0oKMDatWuvebTu0qVLmDBhAjp16oSxY8fCw8MDu3fvhpeXV+NuDFEtdfV3xm9P34R7o4MgBPDpv2dx71d7kKEus3RpRETUQkmCYy9UoVar4eLigoKCAp6WpSbxa0IKXv35CIrL9fB0VOGzib04qDERtWplZWVITExESEgIbG2tfwzQ621vbXJJi+xjR2RtRkUE4PdnbkJnXydkF2lw75e7sXxnIse8IyKiWmGwI2om2nk54ucn+2FkuD90BoE3fj+OF9YcQplWb+nSiIiohWCwI2pG7G0U+GR8BP5vRBfIZRJ+PpCC+77awyFRiIioRhjsiJoZSZLw8IB2+PbBPnCyVSD+Yh5Gf7YTZzIKLV0aERE1cwx2RM1U//ae+OXJfghyt0dybinuWrwLcedyLF0WERE1Ywx2RM1Ye28n/PJkP0QFu6GwTIfJy/bin2Ppli6LiIiaKQY7ombOw1GF7x+Oxq1dfVCuM+CJ7/dj1b6kG7+RiIhaHQY7ohbAVinH4om9MDaqDQwCeGXtEXy29SyHQyEiIjMMdkQthEIuw9y7w/DEoFAAwPvrT+GdP0/AYGC4IyJqTqZMmQJJkiBJEpRKJUJCQvDyyy+jrKzx7yykaPRPIKIGI0kSXrm9MzwcbPD2nyfw1X+JyCvR4v17wiCXSZYuj4iIKtx+++1YtmwZtFot9u/fj8mTJ0OSJMydO7dRP5dH7IhaoIcHtMNHY8Ihl0lYe+ASpq1OgE5vsHRZRERUQaVSwdfXF4GBgRg9ejRiY2OxcePGRv9cHrEjaqHujmwDB5UcT684iF8TUiEEMG9sOBRyfl8jIuskhECprtQin22nsIMk1e3MyNGjR7Fr1y4EBwc3cFVVMdgRtWC3d/fDookSnvrhAH47lAqDEFgwLoLhjoisUqmuFNEroi3y2Xvu3QN7pX2N2//xxx9wdHSETqeDRqOBTCbDwoULG7FCI/72J2rhhnbzxWcTe0Epl/DH4TQ8tzIBWp6WJSKyqMGDByMhIQF79uzB5MmT8cADD+Duu+9u9M/lETsiK3BbN18snhiJJ37Yjz+PpEEplzBvbARkvKCCiKyIncIOe+7dY7HPrg0HBwe0b98eALB06VKEh4fj66+/xkMPPdQY5Zkw2BFZidiuPlg8MRKPf78f6xJS4WSrxJujutW5TwgRUXMjSVKtToc2FzKZDK+++iqmTZuGe++9F3Z2tQuJtfqsRlszETW52K4++GhsOCQJ+G73RXy44ZSlSyIiIgBjxoyBXC7HokWLGvVzGOyIrMyoiAC8Nao7AGDRlnNYsu2chSsiIiKFQoGnn34a77//PoqLixvtcyTBexJVoVar4eLigoKCAjg7O1u6HKI6Wbz1HOauPwkAePfOHrg3OsjCFRER1VxZWRkSExMREhICW1tbS5fT6K63vbXJJTxiR2SlnhgUarr92GvrjuC3Q6kWroiIiBobgx2RFXt5aCdMjA6CEMC0VQn492SGpUsiIqJGxGBHZMUkScJbo7pjVIQ/dAaBJ74/gP0X8yxdFhERNRIGOyIrJ5NJ+HBMOAZ38oJGZ8DD3+xDYnbjddwlIiLLYbAjagWUchkW3tsLPQJckFeixZRle5FdpLF0WURE1MAY7IhaCQeVAl9PiUIbNztczCnBQ9/Eo7Rcb+myiIiuy2BoHbdIbKjt5J0niFoRbydbfPNgH9y9eBcOJefj2ZUHseS+SMh56zEiamZsbGwgk8mQmpoKLy8v2NjYWOWddIQQKC8vR1ZWFmQyGWxsbOq1Po5jVw2OY0fWLv5CLu79ag/KdQZMignG7P/x1mNE1PyUl5cjLS0NJSUlli6l0dnb28PPz6/aYFebXMIjdkStUFRbdywYF4GnVhzAt3EXEeBqh8cGhlq6LCIiMzY2NggKCoJOp4Neb71dR+RyORQKRYN8wWawI2qlhvfww2vDu+DtP09gzt8n4e9qh5Hh/pYui4jIjCRJUCqVUCqVli6lReDFE0St2MMD2uGB/m0BAC+sOYSE5HyL1kNERPXDYEfUyv3fiK4Y0tkb5ToDHv02HukFZZYuiYiI6ojBjqiVk8skLBgfgY4+jsgs1ODR7+JRprXevixERNaMwY6I4GSrxFeTesPNXonDlwrw0k+HwQvmiYhaHgY7IgIABHnY47OJkVDIJPx+KBWfbT1n6ZKIiKiWGOyIyCQm1AOzR3UDAHzwzymsP5pu4YqIiKg2GOyIyMzE6GBMjgkGAExbnYATaWoLV0RERDVl0WC3fft2jBw5Ev7+/pAkCevWrbtu+61bt0KSpCpTerr5UYVFixahbdu2sLW1RXR0NPbu3duIW0FkfWbe0RU3tfdESbkeD38Tj+wijaVLIiKiGrBosCsuLkZ4eDgWLVpUq/edOnUKaWlppsnb29u0bNWqVZg2bRpef/11HDhwAOHh4Rg6dCgyMzMbunwiq6WQy7Dw3p5o62GPlPxSPPH9fmh0vFKWiKi5s2iwGzZsGN5++23ceeedtXqft7c3fH19TZNMdnkz5s2bh0ceeQQPPPAAunbtiiVLlsDe3h5Lly5t6PKJrJqrvQ2+mtwbTrYK7LuQh5nrjvJKWSKiZq5F9rGLiIiAn58fbr31VuzcudM0v7y8HPv370dsbKxpnkwmQ2xsLOLi4q65Po1GA7VabTYREdDe2xGfTugJmQSsjr+EpTsvWLokIiK6jhYV7Pz8/LBkyRKsXbsWa9euRWBgIAYNGoQDBw4AALKzs6HX6+Hj42P2Ph8fnyr98K40Z84cuLi4mKbAwMBG3Q6ilmRQJ2+8OrwLAOCdP4/jvzPZFq6IiIiupUUFu06dOuGxxx5DZGQk+vXrh6VLl6Jfv36YP39+vdY7Y8YMFBQUmKbk5OQGqpjIOjx0Uwju7tUGBgE8/eMBJOWUWLokIiKqRosKdtXp06cPzp49CwDw9PSEXC5HRkaGWZuMjAz4+vpecx0qlQrOzs5mExFdJkkS3rmzO8IDXZFfosUj38ajWKOzdFlERHSVFh/sEhIS4OfnBwCwsbFBZGQkNm/ebFpuMBiwefNmxMTEWKpEIqtgq5Tj8/si4eWkwqmMQryw+hAMBl5MQUTUnCgs+eFFRUWmo20AkJiYiISEBLi7uyMoKAgzZsxASkoKvv32WwDAggULEBISgm7duqGsrAxfffUV/v33X2zYsMG0jmnTpmHy5MmIiopCnz59sGDBAhQXF+OBBx5o8u0jsja+LrZYcl8kJnyxG+uPpWPhlrN4dkgHS5dFREQVLBrs4uPjMXjwYNPradOmAQAmT56M5cuXIy0tDUlJSabl5eXleOGFF5CSkgJ7e3uEhYVh06ZNZusYN24csrKyMGvWLKSnpyMiIgLr16+vckEFEdVNZLAb3h7dHS+vPYx5G0+jm78zhnThzxcRUXMgCQ5MVYVarYaLiwsKCgrY347oGmb9ehTfxl2Ek60Cvz19E0I8HSxdEhGRVapNLmnxfeyIyDL+b0RXRAW7obBMh8e+48UURETNAYMdEdWJjUKGzyb2greTCqczivDy2sO8MwURkYUx2BFRnXk722Lxfb2glEv483Aavtxx3tIlERG1agx2RFQvkcHumDWyGwDgvb9PYudZ3pmCiMhSGOyIqN7uiw7CPZEVd6ZYcQCX8nhnCiIiS2CwI6J6kyQJb4/ujh4BLsgr0eLx7/ejtFxv6bKIiFodBjsiahC2SjkW39cL7g42OJqixvSfeTEFEVFTY7AjogbTxs0en03sBYVMwq8JqfhiOy+mICJqSgx2RNSg+rbzwKyRXQEAc9efxLbTWRauiIio9WCwI6IGd3/fYIyLCoRBAM+sOIAL2cWWLomIqFVgsCOiBidJEt4c3Q29glyhLtPh4W/jUVimtXRZRERWj8GOiBqFSiHHkvsi4eOswtnMIjy/6hAMBl5MQUTUmBjsiKjReDvb4vP7o2CjkGHTiQws2HzG0iUREVk1BjsialQRga54984eAIBPNp/B+qNpFq6IiMh6MdgRUaO7J7INHujfFgAwbfUhnEovtGxBRERWisGOiJrEa8O7oF+oB0rK9Xjk23jkl5RbuiQiIqvDYEdETUIhl2Hhvb3Qxs0OSbkleObHg9DpDZYui4jIqjDYEVGTcXewwZeTomCnlGPHmWy889cJS5dERGRVGOyIqEl18XPGh2PCAQDLdl7A0v8SLVwREZH1YLAjoiY3IswPL9/eCQDw1p/Hsel4hoUrIiKqnbzicvx1JA2v/nIE93+9x9LlmCgsXQARtU5PDAxFcm4JftybjGdXHsSax2PQzd/F0mUREVWroESLQ5fysfNcNnaezcaxVDXEFWOup+SXIsDVznIFVmCwIyKLkCQJb47qjqTcEuw8m4OHv4nHuqf6w8fZ1tKlERGhWKPD3sRc7DiTjf/OZuF0RlGVNp18nNCvvQduau8JDwcbC1RZlSSE4D1+rqJWq+Hi4oKCggI4Oztbuhwiq1ZQosVdi3fiXFYxegS4YNVjfWFvw++cRNS0ijQ67LuQi8PJBdh5LhsHk/Kg1ZtHpEB3O0SHGINcv1APeDfRF9Ha5BIGu2ow2BE1rYs5xbjzs13ILS7HkM7e+Pz+SCjk7AJMRI1HbxA4klKA/85kYfuZbBy4mAedoWqQu6m9FwZ08ERMOw+4WeioHINdPTHYETW9/RfzcO+Xu6HRGXBf3yC8Nao7JEmydFlEZCWEEDiRVogtpzJxMCkf+y7koqBUa9YmyN0evYJcEdXWHQM6eCLYw8FC1ZqrTS7h+Q4iahYig93w8fgIPPHDAXy/Owlt3Ozx+MBQS5dFRC1YUk4Jtp3OxH9ns3EwKR+ZhRqz5U62CvQL9cCADl7NKsjVB4MdETUbt3f3w8wRXfHmH8fx3t8n4edii1ERAZYui4haiJJyHfYk5mLbqSxsO52FxOxis+W2SllF/zhPhAe6IryNi9V1+2CwI6Jm5cGbQnAprxRLdybixTWH4O5ggwEdvCxdFhE1Q1q9AQcu5mHbaWOQO5GmxpXd5BQyCZHBbri5oxeigt0QHugKW6XccgU3AQY7Imp2/m9EF2QUluHPw2l4/Lv9WPVYDLoHcIw7otZOCIHz2cXYW3FUbufZbBRqdGZtAlztcHNHLwzq5IV+oR5wslVaqFrLYLAjomZHJpMwb2w48orLsetcDqYs24u1T/Sziv4vRFQ7RRod/juTjS0nM7HlVGaVfnLuDja4uYMnBnXyRkyoR6sfC5NXxVaDV8USNQ+FZVqM+3w3jqepEeRuj58ej2mycaOIyDJ0egMOXSrA/ou52HY6C3sTc83Gk1MpZOgR4IIBHYxH5XoEuEAms+4r6DncST0x2BE1H5mFZbhncRySckvQ2dcJqx6NgYt96zq1QmTtcovLsfVUJv49mYntp7OgLjM/vRri6YBBnbxwS2dv9Alxh0ph3f3krsZgV08MdkTNS1JOCe5ZsguZhRr0CnLF9w9H8+4URC2YwSBwNLUA205l4d9TmUhIzje776qrvRJRwe7oF+qBwZ29EeLZurthMNjVE4MdUfNzMl2NsUvioC7TYUAHT3w9uTdsFNY1TAGRNcsu0mB7xdWrO85kI7e43Gx5Vz9n3NLZG4M7eyMi0BVyKz+9WhsMdvXEYEfUPO2/mIf7vtqDUq0eI8P98fG4CKvvW0PUUpWW67HrXDZ2n8/BnsRcHEkpMDsq56RSoF97Dwzq5I3Bnbzh68L+s9dSm1xi0a+727dvx8iRI+Hv7w9JkrBu3brrtv/5559x6623wsvLC87OzoiJicE///xj1uaNN96AJElmU+fOnRtxK4ioqUQGu2HJ/ZFQyCT8figVs38/Bn43JWo+UvJL8d3ui3hg2V5EvLkBD30Tjy93JOLwJWOo6+rnjCcHhWL1YzE4MOtWfH5/FCb0CWKoa0AW7aRSXFyM8PBwPPjgg7jrrrtu2H779u249dZb8e6778LV1RXLli3DyJEjsWfPHvTs2dPUrlu3bti0aZPptULBvjhE1mJgRy98NDYcz61MwDdxF6GQy/Da8C48ckdkAWVa41G5baeysCcxFyfTC82WV44pFxXshgEdPHlVexOwaOIZNmwYhg0bVuP2CxYsMHv97rvv4tdff8Xvv/9uFuwUCgV8fX0bqkwiamZGRQSgoFSLWb8ew9f/JUKj0+OtUd0hSQx3RI0ts7AM/57IxKYTmdh5NhulWr1pmUwCegW54ZYu3rilszc6+Tjx57KJtehDWQaDAYWFhXB3dzebf+bMGfj7+8PW1hYxMTGYM2cOgoKCLFQlETWGSTFtYaeU4+W1h/H97iTYKeV4dXgX/hEhamBavQH7EnOx+WQm9iTm4GiK2my5n4sthnTxRkw7T8SEesDdwcZClRLQwoPdhx9+iKKiIowdO9Y0Lzo6GsuXL0enTp2QlpaG2bNnY8CAATh69CicnJyqXY9Go4FGc3kka7VaXW07ImpexkQFQm8QmP7zEXy5IxFymQyv3N6J4Y6ongpKtdh2Ogubjmdgy6lMFF41rlxYGxfEdvHBkC7e6OrnzJ+5ZqTFBrsVK1Zg9uzZ+PXXX+Ht7W2af+Wp3bCwMERHRyM4OBirV6/GQw89VO265syZg9mzZzd6zUTU8Mb3CUKpVo/Zvx/Hkm3nkFWowfv3hHGoBKJa0BsEDl3Kx+YTGdh1LgdHLhVAZ7h8YZKHgw0Gd/bGgA6eiGnnwb5yzViLDHYrV67Eww8/jDVr1iA2Nva6bV1dXdGxY0ecPXv2mm1mzJiBadOmmV6r1WoEBgY2WL1E1Lge6B8CBxsFZvxyBGsPXIIQAh+MCWe4I7qOIo0OO05nYfPJTGw5mYmcq8aV6+DtiNiuPojt4o2IQDf+PLUQLS7Y/fjjj3jwwQexcuVKjBgx4obti4qKcO7cOdx///3XbKNSqaBSqRqyTCJqYmN7B8LJVoGnfzyInw+mQACYe3cYBzEmqiCEwPE0NTYdz8S205k4klJgdg9WJ1sFBnb0wqBO3ogOcUegu70Fq6W6smiwKyoqMjuSlpiYiISEBLi7uyMoKAgzZsxASkoKvv32WwDG06+TJ0/Gxx9/jOjoaKSnpwMA7Ozs4OLiAgB48cUXMXLkSAQHByM1NRWvv/465HI5JkyY0PQbSERNalgPPywE8PSPB/HLwRSk5Jfiy/ujeG9ZarU0Oj3izuVg84lMbD6RgdSCMrPlbT3sMaSir1zvtu5QyvlFqKWz6J0ntm7disGDB1eZP3nyZCxfvhxTpkzBhQsXsHXrVgDAoEGDsG3btmu2B4Dx48dj+/btyMnJgZeXF2666Sa88847CA0NrXFdvPMEUcu25WQmnvnxIIo0OnT2dcJ3D0XDy4lH5al1SMwuxuYTGfj3ZCb2X8yDRmcwLbNTynFTB08M6eyNfqGeCPLgUbmWgLcUqycGO6KW70SaGvd/vRfZRRqEeDpg2ZTeaNvKbyRO1kmnN2D/xTxsPpmJTScycD6r2Gy5j7MKQ7oY+8r1C/WErVJuoUqprhjs6onBjsg6JGYX476v9iAlvxROKgU+mdATgzt73/iNRM1chroMm05kYPOJTOw+n4OS8suDBCvlEqJDPDCkizcGdPBCqJcDhyNp4Rjs6onBjsh6ZKjL8PSKA9h3IQ9ymYR37+yOcb05YDm1LAaDwIl0NTafMB6VO3ypwGy5q70Sgzt5Y0gXb9zc0QvOtuxXak0Y7OqJwY7Iumj1BkxfaxwKBQCeHBSKabd2hIIdxakZKyjRYtuZLGw+kYEdZ7KRe8VwJJIERAS6IraLDwZ38kZnXyfeL9mK1SaXtLjhToiIakspl+HDMWHwdVFh0ZZz+GzrOcRfyMPi+3rBw5EXVVDzIITAuawibDmZhc0nM7DvQh70VwwSbKeUo397T9za1RuDO3vD24mDBFNVPGJXDR6xI7Jevx9Kxas/H0GhRodAdzssndwbHXyqv90gUWMrKddhx5ls/HsiE1tOZSKzUGO2vIO3I4Z08cEtnb0REejKcRlbKZ6KrScGOyLrdjazEA8uj0dSbgkcbOR4dUQX3NsniB3MqUkk55Zg66lMbDqRibjzOSi/YjgSG4UMfdq6Y0gXbwzp7MPhSAgAg129MdgRWb/c4nI89cMBxJ3PAQD8L9wf793dA/Y27KFCDauwTIvd53Ox40wWdpzJRmK2+XAkge52GNL58iDBHI6ErsZgV08MdkStg8EgsHRnIt77+yR0BoHOvk6YPy4CXfz4c091pzcIHEkpwI7TxiB3ICkPuiv6ysllEnoFueKWzsax5dp7O/JoMV0Xg109MdgRtS57E3Px5A8HkF2kgVwm4anB7fHckA686TnVWEp+qSnI/Xc2GwWlWrPlbT3sMaCDFwZ08ETfUA8OR0K1wmBXTwx2RK1PhroMb/x2DH8fNd6DOjrEHQvGR8DPxc7ClVFzVKzRYff5HOw4k43tZ7Kq3O3ByVaB/qGeGNDREwPae7GvHNULg109MdgRtV6/JqTg1Z+PoLhcDzulHE8OCsXjg0J5c/RWTm8QOJZaYAxyp7NwICkPWr356dWIQFcM6OCJAR28EN7GheMkUoNhsKsnBjui1i0xuxgvrjmE/RfzAABhbVwwb2w42ntzWJTWJDW/FP9VHJHbeTYbeSXmp1cD3e1wcwcvDOjghZhQD7jY8fQqNQ4Gu3pisCMiIQR+TUjFrF+PQl2mg0ImYWzvQLx4Wye4O9hYujxqBCXlOuw5n4vtFVevns0sMlvupFIgJtQDAzp64eYOngj2cLBQpdTaMNjVE4MdEVVKLyjDq78cwb8nMwEAHg42mDWyK/4X7s8rGVs4g0HgeJraGOROZyP+Yq7Z6VWZBIQHumJAB2OQCw905Sl5sggGu3pisCOiq+05n4NZvx7DqYxCAEBXP2e8OLQjbunsY+HKqDbSC8pM48n9d9b8/qsAEOBqh5srjsj1C/WEiz1Pr5LlMdjVE4MdEVWnXGfAkm3nsHjrOZRq9QCA2C7emD6sM/vfNVPpBWXYk5iD3edzsPt8bpXBgR1s5IgJ9cTNHY0XPbT1sOeRWGp2GOzqicGOiK4nv6Qcn209h6X/JZoGnr25oxdeuq0TerRxsXB1rduNgpxMAnoEuODmjsaLHnoG8fQqNX8WCXb5+flwdXVtiFVZHIMdEdXE2cxCzF1/CptPZKDyxgK3dfXBmKhA3NLZmwMcNzK9QeB0RiEOJefjYFI+9l6oPsh1D3BB33Ye6NvOHVFt3Tk4MLU4jR7s5s6di7Zt22LcuHEAgLFjx2Lt2rXw9fXFX3/9hfDw8LpV3kww2BFRbSTnlmDextNYl5CCyt+o7bwc8MTAUAzv4QcHFe8/2xDSC8qQkJyHg8n5SEjKx5GUApSU683aMMiRNWr0YBcSEoIffvgB/fr1w8aNGzF27FisWrUKq1evRlJSEjZs2FDn4psDBjsiqotT6YVYHZ+MNfHJUJfpAAA2chmGdvfFlH5t0SvIlf23aqhYo8PhSwVISM5HQnIeEpLzkaHWVGnnqFIgrI0LIgJdEdXWjUGOrFKjBzs7OzucPn0agYGBeO6551BWVobPP/8cp0+fRnR0NPLy8upcfHPAYEdE9VFYpsX3u5Pw494kJOWWmOa3cbPDoE5eGBsViB4BLgx5FSpPqSYk5+NQcj4SkvNxOqPQdHq7klwmoZOPE8IDXdEz0BURQa4I9XLkKW+yerXJJXU6P+Dm5obk5GQEBgZi/fr1ePvttwEYB/TU6/U3eDcRkXVzslXiiUGheHxgOxxLVeObXRfw66FUXMorxfe7k/D97iS083RAVFs33NbVFzd18IStUm7pspuEEALp6jJjv7jrnFIFAH8XW0QEuSIi0BURgW7oHuAMexue1ia6njr9hNx1112499570aFDB+Tk5GDYsGEAgIMHD6J9+/YNWiARUUslSRK6B7jggzHhmDWyK+Iv5GFdQgr+PpqO89nFOJ9djNXxl2BvI0dHHydEh7hjYEcv9GjjAqcWfjpRCIGU/FKczijEmYwinM0swpnMIpzLLEKhRlel/ZWnVCsnb2dbC1RO1LLV6VSsVqvFxx9/jOTkZEyZMgU9e/YEAMyfPx9OTk54+OGHG7zQpsRTsUTUmApKtYi/kIv/zmbj7yPpSFeXVWnj72KLPiHu6NHGFf4utuge4II2bnbN6vRtkUaH1PxSpOSVIjmvBEk5JcbH3FJcyi2pNsABxlOqHX2cEMFTqkQ1wnHs6onBjoiaisEgcCazCCfS1NhxJhs7zmQhs7DqRQIA4GavhIejCm097NHRxwleTiq42isR7OEAL0cVFHKp4rFu47IJIaDVC5TrDSgo1SK9oBSFZToUlGpxMacEucXlyCspR2J2MS5kF5suELkWhUxCe29H09TB2wntvR3R1tMeKkXrOPVM1BAaJdj99ttvNS7gf//7X43bNkcMdkRkSUUaHQ4n52N3Yi7OZhYiObcUJ9LUpsGQr0cmAe4OKhiEgJOtAu4ONhACEAAcVXLIJAlFGh0UMgkSJGQXaaAzCAgI5BaVo7iavm7X42yrgL+rHQLd7RHkbo9ANzsEedgj0M0ege72rabvIFFjapRgJ5PV7BugJEkt/gIKBjsiam7KtHqczSxCQakWZzOLcCqjEAWlWmQXapCUazyapjeIGoW/mlDIJPi62MLFTglHlQJB7vbwdlbB1c4GAW52CPVyhL+rbYvvC0jUEjTKVbEGg6HehRERUd3YKuXoHmC8XVn/9p7VtjEYBLKLNcgq1EAuk1BYpkNOUbmp71qxRgeDEHBQKWAwCOiFgIeDCiql8Yu7i50SnhWvbeQyyNjnjajF4XXjRERWQiaT4O1kC28nXk1K1FrVOdgVFxdj27ZtSEpKQnl5udmyZ599tt6FEREREVHt1CnYHTx4EMOHD0dJSQmKi4vh7u6O7Oxs2Nvbw9vbm8GOiIiIyALqdE38888/j5EjRyIvLw92dnbYvXs3Ll68iMjISHz44YcNXSMRERER1UCdgl1CQgJeeOEFyGQyyOVyaDQaBAYG4v3338err77a0DUSERERUQ3UKdgplUrT8Cfe3t5ISkoCALi4uCA5ObnhqiMiIiKiGqtTH7uePXti37596NChAwYOHIhZs2YhOzsb3333Hbp3797QNRIRERFRDdTpiN27774LPz8/AMA777wDNzc3PPHEE8jKysIXX3zRoAUSERERUc3UKdhFRUVh8ODBAIynYtevXw+1Wo39+/cjPDy8xuvZvn07Ro4cCX9/f0iShHXr1t3wPVu3bkWvXr2gUqnQvn17LF++vEqbRYsWoW3btrC1tUV0dDT27t1b45qIiIiIWqq63Sm6gRQXFyM8PByLFi2qUfvExESMGDECgwcPRkJCAqZOnYqHH34Y//zzj6nNqlWrMG3aNLz++us4cOAAwsPDMXToUGRmZjbWZhARERE1CzW+V+yVQkJCIEnXvtXM+fPna1+IJOGXX37B6NGjr9nmlVdewZ9//omjR4+a5o0fPx75+flYv349ACA6Ohq9e/fGwoULARhvhRYYGIhnnnkG06dPr1EtvFcsERERNReNcq/YK02dOtXstVarxcGDB7F+/Xq89NJLdVlljcTFxSE2NtZs3tChQ031lJeXY//+/ZgxY4ZpuUwmQ2xsLOLi4q65Xo1GA41GY3qtVqsbtnAiIiKiJlCnYPfcc89VO3/RokWIj4+vV0HXk56eDh8fH7N5Pj4+UKvVKC0tRV5eHvR6fbVtTp48ec31zpkzB7Nnz26UmomIiIiaSoP2sRs2bBjWrl3bkKtsEjNmzEBBQYFp4lh8RERE1BLV6Yjdtfz0009wd3dvyFWa8fX1RUZGhtm8jIwMODs7w87ODnK5HHK5vNo2vr6+11yvSqWCSqVqlJqJiIiImkqdByi+8uIJIQTS09ORlZWFzz77rMGKu1pMTAz++usvs3kbN25ETEwMAMDGxgaRkZHYvHmz6SIMg8GAzZs34+mnn260uoiIiIiagzoFu6uvXJXJZPDy8sKgQYPQuXPnGq+nqKgIZ8+eNb1OTExEQkIC3N3dERQUhBkzZiAlJQXffvstAODxxx/HwoUL8fLLL+PBBx/Ev//+i9WrV+PPP/80rWPatGmYPHkyoqKi0KdPHyxYsADFxcV44IEH6rKpRERERC1GnYLd66+/3iAfHh8fbxroGDCGMgCYPHkyli9fjrS0NNN9aAHjMCt//vknnn/+eXz88cdo06YNvvrqKwwdOtTUZty4ccjKysKsWbOQnp6OiIgIrF+/vsoFFURERETWpsbj2NVmCJCWPvYbx7EjIiKi5qJRxrFzdXW97qDEV9Lr9TVdLRERERE1kBoHuy1btpieX7hwAdOnT8eUKVNMFy7ExcXhm2++wZw5cxq+SiIiIiK6oTrdUmzIkCF4+OGHMWHCBLP5K1aswBdffIGtW7c2VH0WwVOxRERE1FzUJpfUaYDiuLg4REVFVZkfFRWFvXv31mWVRERERFRPdQp2gYGB+PLLL6vM/+qrrxAYGFjvooiIiIio9uo03Mn8+fNx99134++//0Z0dDQAYO/evThz5kyLvKUYERERkTWo0xG74cOH4/Tp0xg5ciRyc3ORm5uLkSNH4vTp0xg+fHhD10hERERENVCniyesHS+eICIiouaiUcaxO3z4MLp37w6ZTIbDhw9ft21YWFhNV0tEREREDaTGwS4iIgLp6enw9vZGREQEJElCdQf7JEniAMVEREREFlDjYJeYmAgvLy/TcyIiIiJqXmoc7IKDg03PfXx8YGtr2ygFEREREVHd1OmqWG9vb0yePBkbN26EwWBo6JqIiIiIqA7qFOy++eYblJSUYNSoUQgICMDUqVMRHx/f0LURERERUS3UKdjdeeedWLNmDTIyMvDuu+/i+PHj6Nu3Lzp27Ig333yzoWskIiIiohposHHsjh8/jokTJ+Lw4cMt/qpYjmNHREREzUVtckmdjthVKisrw+rVqzF69Gj06tULubm5eOmll+qzSiIiIiKqozrdK/aff/7BihUrsG7dOigUCtxzzz3YsGEDbr755oauj4iIiIhqqE7B7s4778Qdd9yBb7/9FsOHD4dSqWzouoiIiIioluoU7DIyMuDk5NTQtRARERFRPdQ42KnValOHPSEE1Gr1NdvyggMiIiKiplfjYOfm5oa0tDR4e3vD1dUVkiRVaSOE4L1iiYiIiCykxsHu33//hbu7OwBgy5YtjVYQEREREdVNg41jZ004jh0RERE1F7XJJTU+Ynf48OEaFxAWFlbjtkRERETUMGoc7CIiIiBJkqkf3fWwjx0RERFR06vxnScSExNx/vx5JCYmYu3atQgJCcFnn32GgwcP4uDBg/jss88QGhqKtWvXNma9RERERHQNNT5iFxwcbHo+ZswYfPLJJxg+fLhpXlhYGAIDAzFz5kyMHj26QYskIiIiohur071ijxw5gpCQkCrzQ0JCcPz48XoXRURERES1V6dg16VLF8yZMwfl5eWmeeXl5ZgzZw66dOnSYMURERERUc3V6ZZiS5YswciRI9GmTRvTFbCHDx+GJEn4/fffG7RAIiIiIqqZOo9jV1xcjB9++AEnT54EYDyKd++998LBwaFBC7QEjmNHREREzUWjjGN3NQcHBzz66KN1fTsRERERNbA6B7szZ85gy5YtyMzMhMFgMFs2a9asehdGRERERLVTp2D35Zdf4oknnoCnpyd8fX3NBiyWJInBjoiIiMgC6hTs3n77bbzzzjt45ZVXGqSIRYsW4YMPPkB6ejrCw8Px6aefok+fPtW2HTRoELZt21Zl/vDhw/Hnn38CAKZMmYJvvvnGbPnQoUOxfv36BqmXiKilMwgDcstyAQDZpdlIKUyBAQboDXpklWahTFcGe6U91Bo1irRFcFG5wCAMKNGVwF5hD2cbZ+iFHgqZAr72vpDL5JBJMvg7+sPFxgVKuRIOCgfIZXILbylR61KnYJeXl4cxY8Y0SAGrVq3CtGnTsGTJEkRHR2PBggUYOnQoTp06BW9v7yrtf/75Z7NhVnJychAeHl6lnttvvx3Lli0zvVapVA1SLxFRS1GiLcGxnGPILctFSlEKTuacREZJBkp1pbigvoBSXWmjfr6t3BZ+jn6wU9jBxcYF7VzbwVXlCmcbZ7RzbYcAxwB42HrATmF3w1tVElHN1CnYjRkzBhs2bMDjjz9e7wLmzZuHRx55BA888AAA41Aqf/75J5YuXYrp06dXae/u7m72euXKlbC3t68S7FQqFXx9fetdHxFRc6c36JFZkokL6gvYk7YHR7KPILcsF+cLzsMgDNd8nwQJAgLutu4IcAyAXDIedfO294atwhYl2hI4q5zhqHREviYfckkOe6U9isqLUKQtglKmRJmuDJklmRAQ0Bq0uFR4CSW6EgBAmb4MiQWJps+LS4urtg43lRvau7WHl50X/Bz80NWjKwKcAuBr7wt3W3eGPqJaqFOwa9++PWbOnIndu3ejR48eUCqVZsufffbZGq2nvLwc+/fvx4wZM0zzZDIZYmNjERdX/S+Aq3399dcYP358lWFWtm7dCm9vb7i5ueGWW27B22+/DQ8Pjxqtk4ioOTMIA45kH8H5/PPYl74PO1J2IF+TX21bXwdf+Dv4w9POE108uiDQKRA2Mhu0dWmLQKdAyCQZZFKdxqq/JiGMIS+1KBVZpVko1ZUiuzQbF9QXUFheiNzSXJzNP4vMkkyU6cuQp8nDvvR91a7L284boa6hCHAKQKhLKMK8wtDetT3slfYNWjORtajTOHbV3U7MtEJJwvnz52u0ntTUVAQEBGDXrl2IiYkxzX/55Zexbds27Nmz57rv37t3L6Kjo7Fnzx6zPnmVR/FCQkJw7tw5vPrqq3B0dERcXBzk8qr9PTQaDTQajem1Wq1GYGAgx7EjomYjtywXOy7twMnck9hwcQMySzLNlitlSnjbeyPSJxJRPlHwtjcGIl+H5n3mokRbgrP5Z5FcmGwKf6dyTyG9OB3ZpdkQqPonSoKENk5t0MG1Azq7d0Zn987o4tEFPvY+PLpHVqnRx7FLTEy8caMm8PXXX6NHjx5VLrQYP3686XmPHj0QFhaG0NBQbN26FUOGDKmynjlz5mD27NmNXi8RUW2kFaVhd9pubL+0HVuTt0IndKZljkpHhHmFoaNbRwxsMxAR3hFQyOo8gpXF2CvtEeYVhjCvsCrLSnWlOJFzAhfVF3Gp6BKO5xzHiZwTyCnLQXJhMpILk/Fv8r+m9q4qV3Ry74Qu7l2MYc+9C4Kdg3kBB7UqNf4tMG3aNLz11ltwcHDAtGnTrtlOkiR89NFHNVqnp6cn5HI5MjIyzOZnZGTcsH9ccXExVq5ciTfffPOGn9OuXTt4enri7Nmz1Qa7GTNmmG1T5RE7IqKmVqItwYHMA1h7ei3+Tf7XrI9cF/cuCPMKQz//fugf0B8quXVfFGansEMvn17o5dPLbH5uWS7O5J3B6bzTOJl7EidyT+B8/nnka/KxJ20P9qRdPttjr7BHT5+eCPcKRw/PHuju0R2utq5NvCVETafGwe7gwYPQarWm59dSm8PgNjY2iIyMxObNmzF69GgAgMFgwObNm/H0009f971r1qyBRqPBfffdd8PPuXTpEnJycuDn51ftcpVKxatmiciiUotS8e3xb7H29FqU6ctM83t690Qv714Y3m44Orp1tGCFzYe7rTui/aIR7RdtmqfRa3A276wp6J3MPYnTeadRoivBzpSd2Jmy09Q20CkQ3T27I8IrAtF+0QhxCWnwfoZEllLne8U2lFWrVmHy5Mn4/PPP0adPHyxYsACrV6/GyZMn4ePjg0mTJiEgIABz5swxe9+AAQMQEBCAlStXms0vKirC7Nmzcffdd8PX1xfnzp3Dyy+/jMLCQhw5cqRGAY73iiWipmAQBmy4sAE/nvwRCVkJpqNzfg5+uLnNzZjQeQJCXUMtXGXLpTfocSb/DPZn7MfR7KM4mn0UF9QXqrRzUjqhh1cPhHuFI8wrDD08e8BF5dL0BRNdQ5PcK7ahjBs3DllZWZg1axbS09MRERGB9evXw8fHBwCQlJQEmcz8m9SpU6fw33//YcOGDVXWJ5fLcfjwYXzzzTfIz8+Hv78/brvtNrz11ls8KkdEzUJReRE2J23Gt8e/xem806b50b7ReKjHQ+jr15cXATQAuUxuuriiUoGmAMdyjuFI1hHsy9iHw1mHUagtxK7UXdiVusvUrr1re0T5RCHKNwqRPpHwtPO0xCYQ1ZrFj9g1RzxiR0SNQWfQYc3pNViUsAgFmgIAxosgJnWbhFGho+Dv6G/hClsfnUGHM3lncCjrEA5nHcahrENIKkyq0i7EJcQY9CrCnrd91QH0iRpLbXIJg101GOyIqCFp9BqsPLkSa06vwUX1RQBAsHMw7mh3ByZ0nsDTfs1Mblku9mfsR3x6POIz4nEm70yVYVeCnIIQ5RtlCnt+jtX34SZqCAx29cRgR0QNZXfabry9+21ToHNVueKpiKdwT8d7WuTwJK1RgabAGPQy4hGfHo9Teaeq3NEjwDEAUT5Rpos6eESPGhKDXT0x2BFRfSVkJmDBgQXYn7EfAOBl54XHwx/H8JDhcLRxtHB1VB+F5YU4mHnQdETveM5x6IXerE2ISwiifaPR168vonyjeFSW6oXBrp4Y7Iiorsp0Zfj04Kf47vh3EBCQS3KM7TQWz/R8Bk42TpYujxpBsbYYCZkJ2Ju+F3vS9uB4znGzU7cySYau7l1NR/N6eveErcLWghVTS8NgV08MdkRUW0IIrDm9BksOLUFWaRYAYFToKDzT8xn4OPhYuDpqSgWaAsSnx2N32m7sSd+DxALzuzXZyGzQ07snov2MR/S6enTl3THouhjs6onBjohqI6c0BzN3zsSOlB0AjOPQ/V/f/8PNbW62cGXUHGQUZ2BPuvGOGLtTdyOz1Pw+v05KJ/Tx64N+/v0Q4xeDQGfe+YjMMdjVE4MdEdWE3qDHqlOrsOTQEuRp8mAjs8HUyKkY32k8lHKlpcujZkgIgUR1Inan7saetD3Yl74PhdpCszZtHNsYQ55/DPr49YGzDf8OtXYMdvXEYEdEN5JblosZO2aYBrVt79oec2+ey9t+Ua3oDDoczzmOuNQ4xKXF4VDmIeiEzrRcJsnQw7MHYvxj0M+/H7p7dodSxi8NrQ2DXT0x2BHR9Wy/tB2z42YjsyQTdgo7PB/5PO7peA//4FK9FWuLEZ8ej12puxCXFlelf56D0gF9fI2nbfv590OQc5CFKqWmxGBXTwx2RFSdMl0Z3tr9Fn479xsA45AW8wbOQ3u39haujKxVWlEa4tLiEJcah91pu5GvyTdb3saxDfoH9Ec//37o49uHQ+lYKQa7emKwI6KrpRen4/ktz+NozlHIJTkmdZ2Ex8Mfh73S3tKlUSthEAacyD2BuNQ47ErdhYOZB6EzXD5tq5AUCPcOR3///ugX0A9d3LtAJsmus0ZqKRjs6onBjoiu9OvZXzF331wUlhfCVeWKDwd+iGi/aEuXRa1cibYEe9P3YmfKTuxK3VXlHrfutu7o69fXdETP087TQpVSfTHY1RODHREBxqteP9r/Eb47/h0AoJtHN3w48EO0cWpj4cqIqkouTMaulF3YmboTe9P3olhbbLa8k1sn9Avoh/7+/dHTuyds5DYWqpRqi8GunhjsiCi/LB8zd87E1ktbAQBPhj+JR8Ie4f1dqUXQGrQ4lHkIu1KNQe94znGz5XYKO/T27Y1+/sagF+wcDEmSLFQt3QiDXT0x2BG1bkezj+LZf59FVmkWbGQ2eOemd3B7yO2WLouoznLLck1983al7kJ2abbZ8gDHAFPI6+PXh7e/a2YY7OqJwY6o9fov5T9M2zoNpbpShLiEYM6AOejm0c3SZRE1GCEETuedxs7UndiVsgsHMg9Aa9CalsslOcK9wo1BL6A/unp05UUYFsZgV08MdkStjxACK06uwIf7PoRO6NDPvx/mDZoHB6WDpUsjalQl2hLEZ8SbLsK4oL5gttxV5YoYvxhT/zwvey/LFNqKMdjVE4MdUeuiNWgxc+dM/Hn+TwDAHe3uwJv93uRtwahVSilKMYW8PWl7UKQtMlvewa2DcUgV/36I9InkRRhNgMGunhjsiFoPjV6DF7e9iK3JW6GQFHip90uY0HkCO5ITwfil50jWEdNp22M5xyBwOTbYym0R5RtlGjsvxDmEPzuNgMGunhjsiFqH7NJsvLD1BRzIPACVXIV5g+bh5jY3W7osomYrrywPu9N2m47oZZVmmS33d/A3nbKN9ovmRRgNhMGunhjsiKxfsjoZD254EOnF6XBQOuDTWz5Fb9/eli6LqMUQQuBM/hnsTNmJnak7cSCj6kUYYV5hpqttu3p0hVwmt2DFLReDXT0x2BFZtytDXVvntvj4lo/RzqWdpcsiatEqL8LYlboLO1N2VrkIw0XlYrwIw78fYvxj4Ovga5lCWyAGu3pisCOyXqdyT+GpzU8hoyQDIS4hWDp0KW+1RNQIUotSTX3z9qTtQaG20Gx5W+e2iPGPQYxfDHr79oajjaOFKm3+GOzqicGOyDrtSduDZ/59BqW6UrRzaYevh37NUEfUBHQGHY5kH8Gu1F2IS43DkewjMAiDaXnladsYvxjE+Megu2d33uXlCgx29cRgR2R99mfsxxObnkCprhR9/friw4EfwkXlYumyiFoldbka+9L2IS4tDnGpcUgqTDJb7mTjhL5+fRHjH4P+/v3h7+hvoUqbBwa7emKwI7Iu8enxeGrzUyjRlaB/QH98MvgTjr1F1IykFKVgd+pu7Erdhd1pu6EuV5strzxt28+/H/r49oG90t5ClVoGg109MdgRWY8NFzZg+o7p0Bq0iPaLxsJbFsJWYWvpsojoGvQGPY7nHMfO1J2IS43DoaxD0Au9ablCUqCHVw9E+0Wjj28fhHuFW/0XNQa7emKwI7IO2y9tx3P/Pged0OHW4Fvxzk3vwE5hZ+myiKgWCssLsTd9L+JS47AzZScuFV0yW24rt0Uvn16m/nkd3DpY3b1tGezqicGOqOXbl74PT2x6Ahq9BsNDhuPdm97lGFpEVuBS4SXsSdtjnNL3ILcs12y5u607ov2iTUHPGoZVYbCrJwY7opZt+6XteGHrCyjTl2FQ4CDMGzQPShnv+0pkbYQQOJt/FnGpcdidthvxGfEo1ZWatansnxftG40o36gWedEUg109MdgRtVy703bjiU1PQGfQ4aaAm7Bg8AKo5CpLl0VETUCr1yIhKwG703Zjd+puHM05ajasigQJHd06ordvb/Tx7YNI30g42zT/v/MMdvXEYEfUMh3LOYYH1z+IEl0Jbg2+FXNvnssjdUStWIGmAPHp8YhLi8O+9H04X3DebLlMkqGre1fjhRh+fdDTu2ez7IfLYFdPDHZELc+ZvDN4eMPDyC3LRbRvND6L/czqr5QjotrJLs1GfHo89qbvxb70fVVue6aQKRDuFY5ov2hE+0ajh2cPKOWW/3LIYFdPDHZELcvpvNN48J8HUaApQBf3Llg6dClvT0REN5RenI696XtNF2NklGSYLbeV2yLcOxxRPlGI9IlEmFeYRbp2MNjVE4MdUcuRXpyOiX9NRGZJJnp49sDi2MUtsnM0EVmWEALJhcnYk74He9P2Ym/63ipX3NrIbBDuHW7qo9fDs0eTnBlgsKsnBjuilkFdrsbkvyfjbP5ZtHNph2+HfctQR0QNQgiBc/nnEJ8Rj/0Z+xGfEY/s0myzNrZyW0R4R6C3b2+M7TgWrraujVJLbXJJsxjBb9GiRWjbti1sbW0RHR2NvXv3XrPt8uXLIUmS2WRraz6KvBACs2bNgp+fH+zs7BAbG4szZ8409mYQURMq0BTg8Y2P42z+WXjZeWFJ7BKGOiJqMJIkob1be4zvPB4fDPwA/475F7+N/g0z+87E0LZD4W7rjjJ9GXan7cbCgwstXa6JwtIFrFq1CtOmTcOSJUsQHR2NBQsWYOjQoTh16hS8vb2rfY+zszNOnTplei1Jktny999/H5988gm++eYbhISEYObMmRg6dCiOHz9eJQQSUctTpivD05ufxpHsI3BVuWJx7GL4OfpZuiwismKSJCHEJQQhLiEY22ms6Yje3vS9uFR0qdGO1tWWxU/FRkdHo3fv3li40Jh2DQYDAgMD8cwzz2D69OlV2i9fvhxTp05Ffn5+tesTQsDf3x8vvPACXnzxRQBAQUEBfHx8sHz5cowfP/6GNfFULFHzZRAGvLTtJWy4uAFONk5YfvtydHTraOmyiIgaTYs5FVteXo79+/cjNjbWNE8mkyE2NhZxcXHXfF9RURGCg4MRGBiIUaNG4dixY6ZliYmJSE9PN1uni4sLoqOjr7lOjUYDtVptNhFR8yOEwLz4edhwcQMUMgU+HvwxQx0R0RUsGuyys7Oh1+vh4+NjNt/Hxwfp6enVvqdTp05YunQpfv31V3z//fcwGAzo168fLl0y3hS48n21WeecOXPg4uJimgIDA+u7aUTUCD49+Cm+Of4NAODNfm+it29vC1dERNS8NIuLJ2ojJiYGkyZNQkREBAYOHIiff/4ZXl5e+Pzzz+u8zhkzZqCgoMA0JScnN2DFRNQQVp5ciS+PfAkAmN5nOkaGjrRwRUREzY9Fg52npyfkcjkyMswHBMzIyICvr2+N1qFUKtGzZ0+cPXsWAEzvq806VSoVnJ2dzSYiaj52XNqBOXvnAACe7fksJnaZaOGKiIiaJ4sGOxsbG0RGRmLz5s2meQaDAZs3b0ZMTEyN1qHX63HkyBH4+RmviAsJCYGvr6/ZOtVqNfbs2VPjdRJR83E0+yhe2v4SDMKAUaGj8HCPhy1dEhFRs2Xx4U6mTZuGyZMnIyoqCn369MGCBQtQXFyMBx54AAAwadIkBAQEYM4c47f1N998E3379kX79u2Rn5+PDz74ABcvXsTDDxt/2UuShKlTp+Ltt99Ghw4dTMOd+Pv7Y/To0ZbaTCKqg9N5p/HoxkdRrC1GH98+eD3m9SrDGxER0WUWD3bjxo1DVlYWZs2ahfT0dERERGD9+vWmix+SkpIgk10+sJiXl4dHHnkE6enpcHNzQ2RkJHbt2oWuXbua2rz88ssoLi7Go48+ivz8fNx0001Yv349x7AjakGySrLw1OanUFheiHCvcHxyyyfN4mbcRETNmcXHsWuOOI4dkWWVaEvw4D8P4ljOMbR1bovvh3/Pu0oQUavVYsaxIyK6mkEY8Op/r+JYzjG4qlyxaMgihjoiohpisCOiZmX+/vnYnLQZSpkSHw/+GEHOQZYuiYioxWCwI6JmY83pNVh+bDkA4K3+b6GXTy/LFkRE1MIw2BFRs7ArZRfe2f0OAOCpiKcwot0IC1dERNTyMNgRkcWdyTuDF7a9AL3Q43+h/8NjYY9ZuiQiohaJwY6ILKpyWJMibREifSI5Vh0RUT0w2BGRxZRoS/D0v08jrTgNbZ3b4uPBH8NGbmPpsoiIWiwGOyKyCL1Bj+k7puN4znG4qdzw2ZDPOKwJEVE9MdgRkUV8EP8BtiRvgY3MBp/c8gkCnQMtXRIRUYvHYEdETe6749/hhxM/AADeuekdRHhHWLYgIiIrwWBHRE1q08VN+GDfBwCAaZHTcHvI7RauiIjIejDYEVGTSchMwPQd0yEgMK7TOEzpNsXSJRERWRUGOyJqEknqJDz777PQ6DW4uc3NmN5nOoc1ISJqYAx2RNTo8sry8OTmJ5GnyUMX9y744OYPoJApLF0WEZHVYbAjokZVpivDs/8+i4vqi/Bz8MOiIYtgr7S3dFlERFaJwY6IGo1BGPDaf68hISsBTkonLI5dDC97L0uXRURktRjsiKjRzN8/HxsuboBCpsCCwQsQ6hpq6ZKIiKwagx0RNYqVJ1di+bHlAIA3+72JPn59LFsQEVErwGBHRA1ua/JWzNk7BwDwdMTTGBk60rIFERG1Egx2RNSgjmUfw8vbX4ZBGHBXh7vwaNijli6JiKjVYLAjogaTUpSCpzY/hVJdKfr798f/9f0/jlVHRNSEGOyIqEEUaArw5KYnkVOWg45uHfHhwA+hlCktXRYRUavCYEdE9VauL8fULVNxvuA8vO29sWjIIjjaOFq6LCKiVofBjojqxSAMmLlzJuIz4uGgdMBnQz6Dr4OvpcsiImqVGOyIqF4WHlyIvxL/gkJSYN6geejk3snSJRERtVoMdkRUZz+d/glfHvkSADArZhb6+fezcEVERK0bgx0R1cl/Kf/h7d1vAwAeC3sMd3a408IVERERgx0R1dqhrEOYtnUa9EKPke1G4qmIpyxdEhERgcGOiGrpVO4pPLHpCZTqStHXry9m95vNseqIiJoJBjsiqrELBRfw6MZHUVheiHCvcHw8+GMo5RyrjoiouWCwI6IaSStKwyMbH0FuWS46u3fGZ7GfwV5pb+myiIjoCgx2RHRD2aXZeGTjI0gvTkdb57ZYErsEzjbOli6LiIiuwmBHRNdVoCnAYxsfw0X1Rfg5+OHL276Eh52HpcsiIqJqMNgR0TWVaEvw5OYncTrvNDxsPfDlbV/yrhJERM0Ygx0RVUuj1+DZLc/icNZhONs444vbvkCwc7ClyyIioutoFsFu0aJFaNu2LWxtbREdHY29e/des+2XX36JAQMGwM3NDW5uboiNja3SfsqUKZAkyWy6/fbbG3sziKyG1qDFS9tewp60PbBT2GFx7GJ0dOto6bKIiOgGLB7sVq1ahWnTpuH111/HgQMHEB4ejqFDhyIzM7Pa9lu3bsWECROwZcsWxMXFITAwELfddhtSUlLM2t1+++1IS0szTT/++GNTbA5Ri2cQBszaOQtbkrfARmaDhbcsRJhXmKXLIiKiGpCEEMKSBURHR6N3795YuHAhAMBgMCAwMBDPPPMMpk+ffsP36/V6uLm5YeHChZg0aRIA4xG7/Px8rFu3rk41qdVquLi4oKCgAM7OvPKPWg8hBN7Z8w5WnVoFhaTA/MHzMShwkKXLIiJq1WqTSyx6xK68vBz79+9HbGysaZ5MJkNsbCzi4uJqtI6SkhJotVq4u7ubzd+6dSu8vb3RqVMnPPHEE8jJyWnQ2omsjUEY8Nbut7Dq1CpIkPDOTe8w1BERtTAKS354dnY29Ho9fHx8zOb7+Pjg5MmTNVrHK6+8An9/f7NwePvtt+Ouu+5CSEgIzp07h1dffRXDhg1DXFwc5HJ5lXVoNBpoNBrTa7VaXcctImqZ9AY93oh7A+vOroMECW/2fxPD2w23dFlERFRLFg129fXee+9h5cqV2Lp1K2xtbU3zx48fb3reo0cPhIWFITQ0FFu3bsWQIUOqrGfOnDmYPXt2k9RM1NzoDDr8387/w5/n/4RMkuGdm97BHe3usHRZRERUBxY9Fevp6Qm5XI6MjAyz+RkZGfD1vf5YWR9++CHee+89bNiwAWFh1+/Y3a5dO3h6euLs2bPVLp8xYwYKCgpMU3Jycu02hKiF0hq0mLFjBv48/yfkkhzv3/w+Qx0RUQtm0WBnY2ODyMhIbN682TTPYDBg8+bNiImJueb73n//fbz11ltYv349oqKibvg5ly5dQk5ODvz8/KpdrlKp4OzsbDYRWTut3jikyfoL66GQKfDRoI8wtO1QS5dFRET1YPHhTqZNm4Yvv/wS33zzDU6cOIEnnngCxcXFeOCBBwAAkyZNwowZM0zt586di5kzZ2Lp0qVo27Yt0tPTkZ6ejqKiIgBAUVERXnrpJezevRsXLlzA5s2bMWrUKLRv3x5Dh/KPFhEAlOvL8fzW57E5aTOUMiU+HvwxhgRV7aZAREQti8X72I0bNw5ZWVmYNWsW0tPTERERgfXr15suqEhKSoJMdjl/Ll68GOXl5bjnnnvM1vP666/jjTfegFwux+HDh/HNN98gPz8f/v7+uO222/DWW29BpVI16bYRNUdF5UWYunUq9qTtgUquwseDP0b/gP6WLouIiBqAxcexa444jh1Zq8ySTDy56UmcyjsFO4UdPr3lU0T7RVu6LCIiuo7a5BKLH7EjoqZxPv88Ht/0ONKK0+Bh64FFsYvQzaObpcsiIqIGxGBH1AocyDiAZ/59BupyNdo6t8Xi2MVo49TG0mUREVEDs/jFE0TUuDZd3IRHNjwCdbkaYV5h+HbYtwx1RERWikfsiKzYihMr8N7e9yAgMChwEN6/+X3YKewsXRYRETUSBjsiK6Q1aPH+3vex8tRKAMDYjmMxI3oGFDL+yBMRWTP+lieyMtml2Xhh6ws4kHkAAPBcr+fwUPeHIEmShSsjIqLGxmBHZEWOZB3B1K1TkVmSCUelI94b8B4GBg60dFlERNREGOyIrMQvZ37B27vfRrmhHCEuIfh48McIcQmxdFlERNSEGOyIWrir+9MNChyEOTfNgaONo4UrIyKipsZgR9SCpRWl4ZUdr+Bg5kEAwJMRT+KxsMcgkziSERFRa8RgR9RCrU9cjzfj3kShthAOSgfMuWkOBgcNtnRZRERkQQx2RC1MsbYY7+55F7+d+w0AEOYZhvcGvIdA50ALV0ZERJbGYEfUghzIOIDX/nsNl4ouQSbJ8EiPR/BY+GNQypSWLo2IiJoBBjuiFqBEW4JPDn6CFSdWQEDAz8EP7w14D718elm6NCIiakYY7Iiaub1pezFr1yykFKUAAO5sfyde7P0inG2cLVwZERE1Nwx2RM1UsbYY8+LnYfXp1QAAPwc/vBHzBvoF9LNwZURE1Fwx2BE1M0II/JX4F+bvn4+MkgwAxnu9Ph/5PMemIyKi62KwI2pGjmYfxXt738OhrEMAgADHAMzuNxvRftEWroyIiFoCBjuiZiCzJBMfH/jYNISJncIOj/R4BJO6TYJKrrJwdURE1FIw2BFZkEavwbfHvsWXR75Eqa4UAPC/0P/huV7Pwdve28LVERFRS8NgR2QBpbpS/HT6Jyw7ugxZpVkAgDCvMEzvPR09vHpYuLp6MuiBsgKgNA8oza94rJjKrnpdmgfoygCDATDoAGEAJAmABEgyQKECFLaA0tb4WDlVvlbaA47egKMP4ORb8dwXsLG38E4gIrIMBjuiJlSiLcHqU6ux7Ngy5JblAgB8HXzxXK/nMCJkBCRJsnCFNaTXAQVJQM55IPcckHseyDlnfJ6fZAxplqRyvhzynHwuBz+XQMA1GHALBuw9KkIkEZH1YLAjagLF2mL8ePJHfHvsW+Rp8gAYL4x4uMfDGBU6Ckp5M71zRHkxkHkSyDwGZJ4Acs4aA1z+xRuHNxtHwM4NsHOteKxmsnUFlHaATA7IFAAkAAIQAhB6QKcxHtHTlhkfTZMG0JYC5UVAUSZQlAEUphsfdWWARm2ccs5euz6lA+AaBLi1BdzbAR7tAPdQwCMUcG4DyGQNthuJiJoKgx1RI7pUeAmrT63G2jNroS5XAwACnQLxSI9HcEfoHc3rVmCleUDKAeOUfgjIOAbkJgIQ1bdX2AJuIcYg5N6uIhxVPHfwBhQ2TVo+AGMg1KiNYa8y6FWGvsJ049HE/ItAYRqgLQayThin6ratMuR5dgA8OlQ8tjcGVSKiZorBjqiBGYQBu1J3YeXJldh+aTtERTBq69wWj4Y9imEhw6CQWfhHT6cB0o8AKfuN06V442nU6jh4AT7dAO9ugGf7y4HHyb/5HdWSJMDWxTh5drh2O20ZUHAJyL8A5F2oOKVccVo574LxqF/mMeN0NQdvwKsT4NnR/NHJj6d2icjiGOyIGkiBpgDrzq7D6lOrkVSYZJof4xeD8Z3HY2CbgZDL5E1fmMFgDCyX4i8HufQjgEFbta1bCNAmCvCLMIY5n27GvmrWRmlrDKme7asuM+iNR/VyzgHZZ4CcMxWPZ41H+oozjdOFHebvUzkbw6RnJ8CrY8VjJ+OpXkv8uxNRqyQJIa5xnqX1UqvVcHFxQUFBAZydeT9OujaNXoMdl3bgz/N/Yvul7Sg3lAMAnJROGNV+FMZ2GosQl5CmLaowoyLAVQa5g4CmoGo7ew8gIBIIiKp47AXYuzdtrS1NmdoY8rJPA9mngKyKx9xEY5/A6shVFUf1OgJenSuedzaesrbE6WoianFqk0t4xI6olvQGPeIz4vHn+T+x6eImFGoLTcs6uHXA+E7jcUe7O2CvbIIhNzRFQFrC5dOpKQcA9aWq7RS2xqNwbaKMAS4g0nh1KE8d1o6tM9Am0jhdSacxnsrNOmUMfVknjaEv54zxtG7GEeN0JZnCGO68OlUEvoojfJ4djBeUEBHVAY/YVYNH7OhqGr0G8enx2HZpGzZf3IzM0kzTMh97HwwPGY4R7Uago1vHxhuyRK8DMo9fPp2acsDY8V8YrmooAd5dKgJcxdE47y5Ac73y1ppVntbNOnXFdNIY/sqLrvEmyTgci1fniqBXEfy8OgIqpyYtn4iah9rkEga7ajDYEQBklWRh+6Xt2H5pO+LS4kx3hgAAZxtn3Nb2NgwPGY5In0jIpAa+iEAIYyf+1IOXg1xqAnBFDZeLaXP5KFybKMAvnAGguRMCUKdcPrKXdfJy6CvLv/b7nAOuOMJXcUrXoz3g4Mmjr0RWjMGunhjsWid1uRoHMw4iPiMee9L24ESu+TAY3nbeuDnwZgxsMxD9/PvBRt5A/aMMemO/rbRDQPrhy49l1fSLU7kAAT0r+sRVTE6+DVMHWZ4QQHHW5ZCXdaqiL98p47At12Iaky/48gDMVz7a8vcYUUvGPnZENZBflo8DmQcQnxGP+PR4nMo7BcNVpzV7ePbAzW2MYa6ze+f6n2YtyTWOD5d5wnhaNeMokH60+iNxchvjVamVp1PbRBmHGmluQ4xQw5GkijtmeAMhA8yXleaZH92rDHwFl64/Jh9gHAzaNch4dNclwHjkz6WNcXIOMA7VIuefAyJrwJ9kahWKtcU4nnMcx7KP4WjOURzLPoZLRVUvMghyCkKUbxSifKIQ4x8DTzvPun1gWQGQfdYY3kzTiWsfdVE6AL49jKdR/cKMj16d2S+OLrNzA4KijdOVdBogP7liTL6Lxj59Vz6W5l6+L2/aoerXLcmMt19zCQCc/c1vxWZ67mu8kppfLIiaNQY7sipCCKQVp+FM3hmcyT+D03mncTL3JC4UXDANFHylEJcQRPkYg1yUbxS87WsxZpumyDg+XOU9Uivvm5pzDijJvvb7XIMB767GCxp8uhlDnHs7jnVGdaNQXXtMPgDQFFbccSPZeMV0QYqxf1/BJeOkTjWOaViYapyuR6YwDtDs5GN8dPA0hj0HT8De84pHD+PA1jYODb+9RHRdDHbUIpVoS3BRfREX1ReRqE7EhYILuKi+iAvqCyjWFlf7Hj8HP3Tz6IZunt3QzaMbunp0hYvK5dofUl5i/AOYn3T5j2BBsvEoSO656/d5AoxHO7y7XA5x3t2MHd9VjvXYcqJaUjldHmy6OgaDsV+fuuL/eOXt1668/25huvHLikFXswBYSW5j/HyVs7Gfn8rZeFcQs9dXPV49T2nPC0OIaoHBjpoldbkaaUVpSCtOQ2pRqukxvTgdqcWpyC699hExhUyBEJcQdHDtgA5uHdDRrSO6enS9fFpVW2b8I5V9DijONv5RK84y/vEqSL4c4EpyblyovcflW2y5h16+kbx7O3ZYp5ZBJjMegXPyMfblvBa91ngP3sr77xZlGn+OinMqHrPNX+vKAH258eeoJj9L16xPcVU4dLkqDN4gOKqcjOGQfQiplWgW/9MXLVqEDz74AOnp6QgPD8enn36KPn36XLP9mjVrMHPmTFy4cAEdOnTA3LlzMXz4cNNyIQRef/11fPnll8jPz0f//v2xePFidOhwnXtHUqPT6rXIKcsxTqUVU1kOskuzzZ5nlWShSHutMb4uc1O5oa1zMNo6+CPY1hNtbVzQVu6AICigLFMbw9qFo8CxLRUBLtP4qFHXvGgbR8Al0NjJ3LXi0SXocoDjDeGptZArjX3wXAJu3FYI4zh9pfnGnzdNofGuHRq1sf+pRn3F6+oeC4zvEQbjUcLKPoL1IVMaB36unBRXPrc1Tkpb43yF6vJ8pe3l5XIb46SwMd5RxPS88rXS+F650vj6yudyG/ZPpCZh8WC3atUqTJs2DUuWLEF0dDQWLFiAoUOH4tSpU/D2rtrfadeuXZgwYQLmzJmDO+64AytWrMDo0aNx4MABdO/eHQDw/vvv45NPPsE333yDkJAQzJw5E0OHDsXx48dha2vb1JtoFYQQKNWVokRXglKt8bFYW4wSXQmKtEVQa9RQl6svP1Y8LygvMM2rSVi7kqvMBn4yW/hLSvgZ5PA3CPjrdPAr1yCgrBguJeeB8mt0Br8RmdLYB8jBs+LRy3glokvgFQGuDWDrytNARLUlSRVH0uoxnqIQQHlx9aGvJqGwcp5BZ1yfQQtotLX7YtfQZIqKEKg0/g668tH0XHHFMsXl+TL55XlXT/KK5bKK98oUxhApVc6TVzyXX/VcUfFcdsXzyvmyK9pWtw5ZxVT5XLrG/Mr1SNeYL7v8fmoQFh/HLjo6Gr1798bChQsBAAaDAYGBgXjmmWcwffr0Ku3HjRuH4uJi/PHHH6Z5ffv2RUREBJYsWQIhBPz9/fHCCy/gxRdfBAAUFBTAx8cHy5cvx/jx429Yk0XGsRPCOJ6ZMBjvOSkMV7w2wGDQQafTQGfQQqvXQG/QQafXQKfXQmfQQmfQQasvR7muDBq9BuUGDTT6cpRXTBq9BhpD5fNylBu0KDdoK9pULtOiRK9BqUGDEn05SgzlKDFoUWLQolToqrn0oPYUQsBdr4eH3gAPvf6KyQDPiudeej18dXrY1+a/po2jMYTZuRpPxdi7V3TuviK8OV7xmoGNyPoJYTwlrC29POlKzV9rS4xXFutKjd00dKXG19rSy++tXK7XGk8v68qNj3rNFc8rJp2mop3mcqikGpIuhzxJdp3XuBwIr/seqeL1lY+oZl7F/Ou2x43bT/mj0W4H2GLGsSsvL8f+/fsxY8YM0zyZTIbY2FjExcVV+564uDhMmzbNbN7QoUOxbt06AEBiYiLS09MRGxtrWu7i4oLo6GjExcVVG+w0Gg00Go3ptVrduN/otOUlmLy8F3QAtBKgA6CXAJ0kQYfKRwm6K+aJZhJCJCFgLwTsDYaKR+NzF4MBzldO+qvm6Q1wrXguA4w/eAq7itMcToCNvfHbvY3j5W/6No7GCw1sHCv6yjhesdy5IsS5GvvScFgQIrqaJF0+3WoJBkM1oa/cGPwM2opH3XVe64zthb5int643FDRzqC//J4rJ73W+B5Dxalsob/83sqDBmbz9Ve1ud57daYDDpcPPojLBySuOiiBWh0SqFxPY/2DNLIqt3e0DIsGu+zsbOj1evj4+JjN9/HxwcmTJ6t9T3p6erXt09PTTcsr512rzdXmzJmD2bNn12kb6kKSyXFEVf8gIhcCCgByYfyHVAoBWwBKIUEFQAXApuK5DSSoIMEGsopHCTaSBBVkUEkK2Ehy2MgUsJcpKyYb2MttYCe3NT5XqGCvsIetzAZSZZ8S02kFm+r7plzZZ+XKfipKOwYxIrJ+Mhkgq/g92FoJUX3gM52ZuiIAmkLitV4L8/Vd9z3C/HVlWjTNr0yPohbzcO12gLEvZTNg8T52zcGMGTPMjgKq1WoEBgY22ufJZUp80mcWFHIlFDIlFHIbKGVKyK94bZpkSijkqorXSihkCigkBeQyecPfn5SIiKghSZKxXx3k/ELfRCwa7Dw9PSGXy5GRYT4eWEZGBnx9q7//pa+v73XbVz5mZGTAz8/PrE1ERES161SpVFCpmi5pSzIZBncZ02SfR0RERK2DRQ/52NjYIDIyEps3bzbNMxgM2Lx5M2JiYqp9T0xMjFl7ANi4caOpfUhICHx9fc3aqNVq7Nmz55rrJCIiIrIGFj8VO23aNEyePBlRUVHo06cPFixYgOLiYjzwwAMAgEmTJiEgIABz5swBADz33HMYOHAgPvroI4wYMQIrV65EfHw8vvjiCwCAJEmYOnUq3n77bXTo0ME03Im/vz9Gjx5tqc0kIiIianQWD3bjxo1DVlYWZs2ahfT0dERERGD9+vWmix+SkpIgu2JQx379+mHFihX4v//7P7z66qvo0KED1q1bZxrDDgBefvllFBcX49FHH0V+fj5uuukmrF+/nmPYERERkVWz+Dh2zZFFxrEjIiIiqkZtcgkvqyQiIiKyEgx2RERERFaCwY6IiIjISjDYEREREVkJBjsiIiIiK8FgR0RERGQlGOyIiIiIrASDHREREZGVYLAjIiIishIMdkRERERWwuL3im2OKu+yplarLVwJERERtXaVeaQmd4FlsKtGYWEhACAwMNDClRAREREZFRYWwsXF5bptJFGT+NfKGAwGpKamwsnJCZIkNfj61Wo1AgMDkZycfMOb+Vo77ovLuC+MuB8u4764jPviMu6Ly1rLvhBCoLCwEP7+/pDJrt+LjkfsqiGTydCmTZtG/xxnZ2er/o9YG9wXl3FfGHE/XMZ9cRn3xWXcF5e1hn1xoyN1lXjxBBEREZGVYLAjIiIishIMdhagUqnw+uuvQ6VSWboUi+O+uIz7woj74TLui8u4Ly7jvriM+6IqXjxBREREZCV4xI6IiIjISjDYEREREVkJBjsiIiIiK8Fg18QWLVqEtm3bwtbWFtHR0di7d6+lS2p0c+bMQe/eveHk5ARvb2+MHj0ap06dMmtTVlaGp556Ch4eHnB0dMTdd9+NjIwMC1XcNN577z1IkoSpU6ea5rW2/ZCSkoL77rsPHh4esLOzQ48ePRAfH29aLoTArFmz4OfnBzs7O8TGxuLMmTMWrLjh6fV6zJw5EyEhIbCzs0NoaCjeeusts1sHWet+2L59O0aOHAl/f39IkoR169aZLa/Jdufm5mLixIlwdnaGq6srHnroIRQVFTXhVjSM6+0LrVaLV155BT169ICDgwP8/f0xadIkpKammq2jNeyLqz3++OOQJAkLFiwwm28t+6IuGOya0KpVqzBt2jS8/vrrOHDgAMLDwzF06FBkZmZaurRGtW3bNjz11FPYvXs3Nm7cCK1Wi9tuuw3FxcWmNs8//zx+//13rFmzBtu2bUNqairuuusuC1bduPbt24fPP/8cYWFhZvNb037Iy8tD//79oVQq8ffff+P48eP46KOP4ObmZmrz/vvv45NPPsGSJUuwZ88eODg4YOjQoSgrK7Ng5Q1r7ty5WLx4MRYuXIgTJ05g7ty5eP/99/Hpp5+a2ljrfiguLkZ4eDgWLVpU7fKabPfEiRNx7NgxbNy4EX/88Qe2b9+ORx99tKk2ocFcb1+UlJTgwIEDmDlzJg4cOICff/4Zp06dwv/+9z+zdq1hX1zpl19+we7du+Hv719lmbXsizoR1GT69OkjnnrqKdNrvV4v/P39xZw5cyxYVdPLzMwUAMS2bduEEELk5+cLpVIp1qxZY2pz4sQJAUDExcVZqsxGU1hYKDp06CA2btwoBg4cKJ577jkhROvbD6+88oq46aabrrncYDAIX19f8cEHH5jm5efnC5VKJX788cemKLFJjBgxQjz44INm8+666y4xceJEIUTr2Q8AxC+//GJ6XZPtPn78uAAg9u3bZ2rz999/C0mSREpKSpPV3tCu3hfV2bt3rwAgLl68KIRoffvi0qVLIiAgQBw9elQEBweL+fPnm5ZZ676oKR6xayLl5eXYv38/YmNjTfNkMhliY2MRFxdnwcqaXkFBAQDA3d0dALB//35otVqzfdO5c2cEBQVZ5b556qmnMGLECLPtBVrffvjtt98QFRWFMWPGwNvbGz179sSXX35pWp6YmIj09HSz/eHi4oLo6Gir2h/9+vXD5s2bcfr0aQDAoUOH8N9//2HYsGEAWs9+uFpNtjsuLg6urq6IiooytYmNjYVMJsOePXuavOamVFBQAEmS4OrqCqB17QuDwYD7778fL730Erp161ZleWvaF9XhvWKbSHZ2NvR6PXx8fMzm+/j44OTJkxaqqukZDAZMnToV/fv3R/fu3QEA6enpsLGxMf2CquTj44P09HQLVNl4Vq5ciQMHDmDfvn1VlrWm/QAA58+fx+LFizFt2jS8+uqr2LdvH5599lnY2Nhg8uTJpm2u7mfGmvbH9OnToVar0blzZ8jlcuj1erzzzjuYOHEiALSa/XC1mmx3eno6vL29zZYrFAq4u7tb9b4pKyvDK6+8ggkTJpjuj9qa9sXcuXOhUCjw7LPPVru8Ne2L6jDYUZN66qmncPToUfz333+WLqXJJScn47nnnsPGjRtha2tr6XIszmAwICoqCu+++y4AoGfPnjh69CiWLFmCyZMnW7i6prN69Wr88MMPWLFiBbp164aEhARMnToV/v7+rWo/UM1otVqMHTsWQggsXrzY0uU0uf379+Pjjz/GgQMHIEmSpctplngqtol4enpCLpdXucIxIyMDvr6+FqqqaT399NP4448/sGXLFrRp08Y039fXF+Xl5cjPzzdrb237Zv/+/cjMzESvXr2gUCigUCiwbds2fPLJJ1AoFPDx8WkV+6GSn58funbtajavS5cuSEpKAgDTNlv7z8xLL72E6dOnY/z48ejRowfuv/9+PP/885gzZw6A1rMfrlaT7fb19a1y8ZlOp0Nubq5V7pvKUHfx4kVs3LjRdLQOaD37YseOHcjMzERQUJDp9+jFixfxwgsvoG3btgBaz764Fga7JmJjY4PIyEhs3rzZNM9gMGDz5s2IiYmxYGWNTwiBp59+Gr/88gv+/fdfhISEmC2PjIyEUqk02zenTp1CUlKSVe2bIUOG4MiRI0hISDBNUVFRmDhxoul5a9gPlfr3719l2JvTp08jODgYABASEgJfX1+z/aFWq7Fnzx6r2h8lJSWQycx/FcvlchgMBgCtZz9crSbbHRMTg/z8fOzfv9/U5t9//4XBYEB0dHST19yYKkPdmTNnsGnTJnh4eJgtby374v7778fhw4fNfo/6+/vjpZdewj///AOg9eyLa7L01RutycqVK4VKpRLLly8Xx48fF48++qhwdXUV6enpli6tUT3xxBPCxcVFbN26VaSlpZmmkpISU5vHH39cBAUFiX///VfEx8eLmJgYERMTY8Gqm8aVV8UK0br2w969e4VCoRDvvPOOOHPmjPjhhx+Evb29+P77701t3nvvPeHq6ip+/fVXcfjwYTFq1CgREhIiSktLLVh5w5o8ebIICAgQf/zxh0hMTBQ///yz8PT0FC+//LKpjbXuh8LCQnHw4EFx8OBBAUDMmzdPHDx40HSlZ022+/bbbxc9e/YUe/bsEf/995/o0KGDmDBhgqU2qc6uty/Ky8vF//73P9GmTRuRkJBg9ntUo9GY1tEa9kV1rr4qVgjr2Rd1wWDXxD799FMRFBQkbGxsRJ8+fcTu3bstXVKjA1DttGzZMlOb0tJS8eSTTwo3Nzdhb28v7rzzTpGWlma5opvI1cGute2H33//XXTv3l2oVCrRuXNn8cUXX5gtNxgMYubMmcLHx0eoVCoxZMgQcerUKQtV2zjUarV47rnnRFBQkLC1tRXt2rUTr732mtkfbGvdD1u2bKn2d8PkyZOFEDXb7pycHDFhwgTh6OgonJ2dxQMPPCAKCwstsDX1c719kZiYeM3fo1u2bDGtozXsi+pUF+ysZV/UhSTEFcObExEREVGLxT52RERERFaCwY6IiIjISjDYEREREVkJBjsiIiIiK8FgR0RERGQlGOyIiIiIrASDHREREZGVYLAjIiIishIMdkREdTBo0CBMnTrV0mUQEZlhsCMiIiKyEgx2RERERFaCwY6I6AaKi4sxadIkODo6ws/PDx999JHZ8u+++w5RUVFwcnKCr68v7r33XmRmZgIAhBBo3749PvzwQ7P3JCQkQJIknD17FkIIvPHGGwgKCoJKpYK/vz+effbZJts+IrIeDHZERDfw0ksvYdu2bfj111+xYcMGbN26FQcOHDAt12q1eOutt3Do0CGsW7cOFy5cwJQpUwAAkiThwQcfxLJly8zWuWzZMtx8881o37491q5di/nz5+Pzzz/HmTNnsG7dOvTo0aMpN5GIrIQkhBCWLoKIqLkqKiqCh4cHvv/+e4wZMwYAkJubizZt2uDRRx/FggULqrwnPj4evXv3RmFhIRwdHZGamoqgoCDs2rULffr0gVarhb+/Pz788ENMnjwZ8+bNw+eff46jR49CqVQ28RYSkTXhETsious4d+4cysvLER0dbZrn7u6OTp06mV7v378fI0eORFBQEJycnDBw4EAAQFJSEgDA398fI0aMwNKlSwEAv//+OzQajSkojhkzBqWlpWjXrh0eeeQR/PLLL9DpdE21iURkRRjsiIjqobi4GEOHDoWzszN++OEH7Nu3D7/88gsAoLy83NTu4YcfxsqVK1FaWoply5Zh3LhxsLe3BwAEBgbi1KlT+Oz/27lf11SjOI7jH+ZVeHRBEH8knzAEWbAsiDgtmgT/hvmjiN0gixbRpjCDxeBYWLQYDIOFYdYgq4siWlUGC5crdwzuTc57D+9XPAcevt/2eb6Hc+7uZFmWqtWq0um09vv9SXoC8P8i2AHAH1xcXMjpdGo6nR7W1uu1Xl9fJUmLxUKr1UrNZlOpVErRaPRwceJ3uVxOHo9HvV5P4/FYpVLp075lWcrn8+p0Onp6etLLy4tms9lxmwNgnB+nLgAA/mXn5+cql8uq1Wry+XwKBAK6vb3V2dnP/+JwOCyXy6Vut6tKpaL5fK5Go/HlOw6HQ4VCQfV6XZFIRIlE4rA3GAz0/v6ueDwut9ut4XAoy7Jk2/a39QnADEzsAOAv2u22UqmU8vm8stmsrq+vdXV1JUny+/0aDAZ6fHzU5eWlms3ml6dNfimXy9rtdioWi5/WvV6v+v2+ksmkYrGYJpOJRqORfD7f0XsDYBZuxQLAN3l+flYmk9Hb25uCweCpywFgIIIdABzZdrvVcrnUzc2NQqGQ7u/vT10SAENxFAsAR/bw8CDbtrXZbNRqtU5dDgCDMbEDAAAwBBM7AAAAQxDsAAAADEGwAwAAMATBDgAAwBAEOwAAAEMQ7AAAAAxBsAMAADAEwQ4AAMAQBDsAAABDfADeOlAVoNEJdwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] @@ -158,7 +158,7 @@ }, { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -208,6 +208,34 @@ "print(f\"IPM compartments: {out.compartment_labels}\")\n", "print(f\"IPM events: {out.event_labels}\")" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## IPM Diagrams\n", + "\n", + "It is also possible to generate traditional \"box and arrow\" plots of the compartmental disease model. (The model in this example encodes $\\beta$ as a function of humidity.)\n", + "\n", + "This requires you to have some optional depdencies installed on your machine -- graphviz and a LaTeX distribution, both of which should be supported on Windows, Mac, and Linux. If you are missing these software, you will get an error running the below cell. [Installation instructions for graphviz](https://graphviz.org/download/) can be found at its website, and there are several LaTeX distributions to choose from: we recommend either [TeX Live](https://tug.org/texlive/) or [MiKTeX](https://miktex.org/download)." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "render(ipm_library['pei']())" + ] } ], "metadata": { @@ -226,7 +254,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.6" + "version": "3.11.8" }, "orig_nbformat": 4 }, From fe65dddc97611ef8ff7d95d22534d6fd39382a93 Mon Sep 17 00:00:00 2001 From: IzMo2000 Date: Thu, 4 Apr 2024 12:16:09 -0700 Subject: [PATCH 21/23] added dev log to display draw module functionality --- doc/devlog/2024-04-04-draw-demo.ipynb | 375 ++++++++++++++++++++++++++ 1 file changed, 375 insertions(+) create mode 100644 doc/devlog/2024-04-04-draw-demo.ipynb diff --git a/doc/devlog/2024-04-04-draw-demo.ipynb b/doc/devlog/2024-04-04-draw-demo.ipynb new file mode 100644 index 00000000..5d04d666 --- /dev/null +++ b/doc/devlog/2024-04-04-draw-demo.ipynb @@ -0,0 +1,375 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2024/04/04 Draw Module Demo\n", + "_Author: Izaac Molina_\n", + "\n", + "## Goal and Purpose\n", + "The traditional way to design a model in epymorph is to first draw a ipm model, then translate that model into an ipm object via code. This project seeks to go in the other direction: turning an ipm object into a model. This is great both for educational and debugging purposes as it allows users to present their model more clearly as well as check to ensure they have implemented the model correctly in epymorph\n", + "\n", + "## Prereqs\n", + "A LaTeX interpretter for generating edge labels, such as [MikTeX]( https://miktex.org/download) or [TexLive](https://tug.org/texlive/)\n", + "\n", + "[Graphviz](https://graphviz.org/download/) for translating the IPM into a visualization\n", + "\n", + "\n", + "## Design\n", + "The `draw` module uses GraphViz, a software that when combined with a Python Library can be used to convert the ipm into a graph object, which can then be printed as a .png.\n", + "\n", + "The primary method in `draw` is the `render` method, which takes in an ipm `CompartmentModel` object and draws the resulting visualization in jupyter notebook. This also can optionally display to console with the `console` flag.\n", + "\n", + "A similar method, `render_and_save` performs the same operations as render, and additionally saves the model as a png in a given file directory.\n", + "\n", + "render(ipm: CompartmentModel, console: bool)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Draw applied to ipms in the epymorph system:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAosAAACyCAIAAAClYhIMAAAABmJLR0QA/wD/AP+gvaeTAAAgAElEQVR4nO3deVwTd/4/8EkIIRy5OBJCuO9LTkU0AUGg2K5YW49W61VbkbZ2e2ytXbtbdW2/tba22tafita2Xq3V1gN3axURBUS57/sQuc9AyEUyyfz+mN1sFhAPkEng/fzDRzJMkndQ88pn5jOfNwnDMAQAAAAAeoZMdAEAAAAAGAUkNAAAAKCPIKEBAAAAfUQhugAAgN7p7Oy8ceMG0VUQLyAgwNvbm+gqwPQFCQ0AGK6kpOSFF14gugriffrppx988AHRVYDpCxIaADC6vr4+NptNdBWEcXV1JboEMN3BeWgAAABAH0FCAwAAAPoIEhoAAADQR5DQAAAAgD6ChAYAAAD0ESQ0AAAAoI8goQEAAAB9BAkNAAAA6CNIaAAAAEAfQUIDAAAA+ggSGgAAANBHkNAAAACAPoKEBgAAAPQRJDQAAACgjyChAQAAAH0ECQ0AAADoI0hoAAAAQB9RiC4A6B2JREKj0SiU6fJvA8MwqVRaXl5OpVKDg4MRBFGpVA0NDfhPjY2NXV1dlUplY2MjhmEqlcrS0pLP5yMIgqLo3bt3c3JyHB0dAwMDyWTynTt3mpubIyMj+Xw+lUol8l0BAAwfjKHB/7h3715FRYVEIiG6kMmDomhpaenly5dv3bqFIAiGYQMDA7dv31Yqlf39/ampqWq1uq2tLTU1ValUdnd3X7x4EX8ghmHt7e2HDx/u7OzUaDQKhSInJ+fs2bMoivb39+fm5g4NDRH6zgAAhm26jJOmtu7u7urq6uLiYhMTEw8PD39/fysrK+1PlUplXV2dSCTC79rb26MoyuFw6HT6sOcZHBzMyMjg8/nTZwCNo1Kp2iEvhmEKhSI7O/vpp58mk8l//PHH0NBQUVGRSCQKCAhoaWk5depUc3Ozg4ODkZGRhYUFgiCxsbFMJrO7u9vExGTOnDkeHh59fX3Nzc29vb0LFiwg9J0BAAzY9PognsL6+/tPnjw5Y8YMFxcX3e1KpTIjIwNFUTxLJBLJTz/95OjoGBcXNzKhL126hKKoj48PvvPQ0FB9fX15eXlkZCSXyx31dYeGhmpra+VyuVgsFolEERERNjY2ZPJ4j81kZ2fj3xKGhobCw8NH/cbwyy+/+Pr6stlsU1NT7UZLS8tHfS1jY2MfH5+cnByNRoMgCJlMNjMzwzBsx44dQUFBQqFwaGiooqKCyWTiP6XRaHV1dQ4ODgqFor6+HkXR5ubm5ubmtra2oqKiNWvWIAjCYrH8/Px+/fVXT09PV1fXx/49AACmM0joqcDGxsbGxobNZguFwqioKCMjI+2P0tPT7969Gxsbi+eERCI5f/68h4fHyHhua2vLz89ftmyZtbU1giA9PT0NDQ0lJSWXLl3y8PC4X0Knp6djGGZlZUWhUDIyMu7evfvyyy/rjuBHEolEDAZDt8hhbt26devWrcjISAqF0tTU1N3dnZCQMDKkv/nmG2trazabbWJigiAIiUTy9/d//fXXx/pNPRwKheLu7l5TU3P27NmlS5cGBAQMDg7ivxYymUyhUMRiMYIgEomkrKxs7ty5+HuRyWT19fWBgYH4bnZ2dr6+vqdPn/7rX/86/pIAANMQJPQUUV5ebmJiwuPxhiVfSkpKRESEvb09ftfCwmLWrFmenp40Gm3YM1y5coXH42mfgUwmW1hYWFhYoCiKDy5Hde3aNS8vr/DwcBaLVVRUdOrUqWeffXbshL5y5cqf/vQnfJg+qq+++mr9+vXBwcHGxsZWVlYvvvhifHz8yIR2cnIKCAjQ3r1z5058fPz9nhNF0YyMDLlcrruRyWQKBIJheyqVyurqajs7u2XLll27di0zM3PmzJksFgv/qUajUSqV+G9PKpU2NDRs2LDBx8dHqVS2tbUxGAw8yBEEodPprq6uv/76a1dXF4fDGeMXAgAAo4KEniLKy8vZbDaPxxu2XaFQlJaWCoVCOzs7fEtMTIw2b3SlpaUtWrTIxsYGv2tpaWlpadnV1TX2OekFCxbQaDT8JK5UKjU1NX3gIe7i4uK4uLj7/bS3tzcjI+Prr7/GX9fJyam8vLy6uhqfLK275+rVq5966ikSiYQgSHV1tb+//zPPPIP/SKPRXL9+Hf+iYG1tbW9vTyKRLCwsjI2NdZ/B3Nx8ZAFKpbKmpsbLy8vZ2XnJkiVyuVwqlfr4+BQWFiIIgqKoWCyeMWMGgiByubyhocHX1xdBEIlEUlNTg08F17KwsOByuRkZGUuWLBn7dwIAACNBQk8Fg4ODbW1tvr6+2hjWiomJOX369Pvvv+/r6xsQEBAeHu7k5DTyGbq6uvr7+62srHTP6T6M+fPn4zeqqqrq6+tXrVqlHUQ+nrt378rlchMTEzx6EQQxNTWtqamZMWPGsIQODw/Hb3R3dxcUFMTExOB31Wr1nj17goKCLCws1Gr11atXX375ZSMjo1mzZo36iiiKVlVVVVdXoyhaVlbm6enp6+tbU1OjUCjUarWTk5OXl5dMJmtsbMzPz+/u7g4JCbG1te3q6kpLS1Or1SqVSqFQFBUVZWZmBgQEKBQK7fEJOp1ub29/69YtSGgAwGOAhJ4KGhoa5HK5s7Mzg8EY9qO4uDgGg5GRkVFZWXnjxo2KiopVq1aNDPJ79+4ZGxvjJ3QflVwuLy8vLy0t5fF4o05AeySDg4MYhuluYbPZAwMDI/fEp24hCHLmzJmoqCj8SLJGozl16lRubm5SUhKdTu/o6Ghvbx/7FUkkkqWl5dNPP41hGJ1Op1Kpfn5+JBKJSqWSSCQXFxcbGxulUrlw4UIMw8zMzPz8/BAEoVKpAQEBjo6OJiYmZDKZz+cvW7bMwcFB92uEiYkJk8nMyMgYzy8EADBtQUJPBeXl5WQy2cbGZuT0Kysrq2eeeSY0NLS5uTk9Pf369euzZ88emdAikYhKpT7eRVZGRkaWlpahoaEUCmX//v1JSUnOzs66QXX+/Hl8ahWuqKjo559/1p6H9vDwmDlz5rDjz7pQFFUoFMNiW6upqam4uFg7QUyj0Xz66acLFiyorq6WSqX4LLMH1u/s7Ozs7KzdQqVSg4KCdPehUqlubm66W1gsVmRkpPaul5eXl5fXsGemUCg0Gq2vr2/sAgAAYFSQ0FNBRUUFnU4fNt26vr7e1NSUw+FQKBQul8vlcvl8fn5+/rDZUrjBwUEajTZGTI5KLpffvHlzxowZeCSjKPrJJ5/MmDHD1tbWzMxMu5uTk5Pui1paWrq6umqH+xwORzfOraystMe3cf39/dbW1sM2av3666/ac+cYhnV1ddXW1h4/ftzS0pLBYNjY2OBDXkJQKBQLCwuVSkVUAQAAgwYJbfDEYnFTU5Ozs/OwkXFhYaG9vb3uWWGZTObh4THqRGsjIyONRnO/cer9dHV1ffvtt++++661tTWVSrWwsNBoNIODg2q1Wne3YfOnLl26FBYWdr8Ll11cXCwsLLq7u1ksFp7cSqUyLCzsfldn/fbbby+88IL2bmdnJ5fLDQ0NfaQ38oRgGDbsVwEAAA8PVv00eHV1db29vU5OTsMyr6amJj09vbOzE7+rUCgyMjLCwsI8PT1HPgmdTlcoFCNHe3K5fFjG9PX1Xbt2DV+hjM1mOzs7W1tb4/GZn5/PYrGCgoIedbqZLgsLi8WLFxcXF+Ovm5ubGxERwefzSSRSZ2dnSkrKsHpKSkq015IhCKJ7G8MwsVh8/fr1xy5mnFAUlUqlIy9sAwCAhwFjaAM2NDRUXFx86tSpurq6qqqqxsZGFxcX7ZFqOzs7tVpdWFhYVlaGoujQ0JCjo2NQUJB2gpUuBwcHmUymUCi0W/r6+oqKii5dulRWVnbx4sX+/v5Zs2bR6fSSkpKjR4/y+Xw2m81gMDZs2NDU1FRfX48gSHFx8Z///Gd/f/9xLhr69ttvX758+fbt20ZGRllZWR999BF+NdedO3f2798fHx+vO542Nze3tbXFb5NIJCsrq/fee+/8+fMuLi4ymczY2Fj3BPMkUyqVg4ODo06eBwCAB4KENmBGRkYODg4vvPBCfHy8jY2NdiyLi4+PJ5FISqUSX3JEo9HY2dndb50QBwcHCoUilUpRFMXz1dTU1M3N7aWXXnr66adtbW1tbGzwmPT09ExKStJeeO3j48NkMvEWEa6urvgx6nG+Lw8PDzKZjF9wxWKxvLy88PcVGBi4efPmYYe7jx075uPjo71LIpHWrl3b09PDZDJVKhWVStWepZ58Uqm0q6tr2EF+AAB4SJDQBoxCoeCrgI360/ttHxWNRgsICOjq6hKLxfjRclNTUycnp5HjPzs7O90T3sbGxo86RlywYMEDD4NrJ07jfR5xo9YzbPETEonEZrPZbPYjlfSE4FMEFi9eTHQhAACDBOehwb/Fx8dXVla2tbU96ReaNWvW4114bVjwVpVUKnXUE/8AAPBAkNDg3/BT1C0tLTKZ7Im+0MOsDDoFdHd35+fnL1myBGaKAQAez9T/oAQPyczMbM2aNZWVlS0tLUTXYvAkEklFRYWFhcXcuXOJrgUAYKggocF/2dvbR0VF1dTUdHd3E12LAVOr1V1dXd3d3YsXL9ZduQUAAB4JzBQD/8PPz8/R0XGca2tPc2QyGV+inMBp5AZt5Ppxj7qWDgBTAyQ0+B9UKnXs7s7ggUgkkqmp6XiWbZnmMAwbGBjAe6T29/ePegU/GJVSqZRKpfgivqampvBV29BBQhukjz/++JdffiG6CvCYwsPDk5OTia5Cr2lTGeL5kVRWVl64cOGLL75YunRpTEzMSy+9RHRFYFwgoQ3SK6+88vzzzxNdBXhM5ubmRJcApqbAwEAURZOTkz/66CNYzG4KgIQ2SGMsVAIAmM6ys7PxRXnv1w4OGBCYyw2eiJEdrqYtFEUlEgnRVYDpIjs7e+yG68CAwBjasPX29qakpPz4448WFhbh4eFsNlsmk7W3t8+dOzcmJgafazP5kpOTFy9e/NgLdGdnZ//++++nTp2KioqKiIhYuXLl+D9u1Gp1cXHxyZMnz58///TTT/v4+IhEovb2dk9Pz7feemucT659iaampsuXL+N32Wx2UFBQX1+fi4vLjRs3oqOjtR0+AHhCVCpVUVHR+++/P87uNUBPwN+iYWOxWOHh4WfOnFmwYMGqVavIZDKGYRKJZPfu3b29vcuXL5/8kE5JSQkKCmIwGNqDbGKxODU19dKlS59++imXy33gM4SEhGAY9tVXX7355ptubm4T8llDJpN9fHxiYmKOHDmyc+dOCoWi0WjEYvHHH3+8cePGQ4cOjfP51Wp1VVXV2bNn3333XQRBlErljRs3/vKXv3z++edcLnfGjBm//vrrG2+8Mf43AsAYGhsbNRrNrFmzYAw9NcBRbsNmZGR07949Go1mb2/PZDLpdDqDweDxeE899VReXl5paekk19Pa2pqXl8fn87Urb1dVVf3zn/9sbGysr68f2X96VCYmJkVFRXZ2dk5OTubm5mOfTrt79+7DPCeJRCKTySUlJf7+/mw2m06nM5lMKysrFxeX33//fYwHqlSqh1lkramp6cCBAytWrKDT6XQ63dLS0sPDw9nZGW/MxePxOBzOb7/99jClAvDYcnNzra2t4ST0lAEJbfDKy8uZTKbuxDESicTn8xsaGiahDcYw58+ff+qpp6ysrLQfEO7u7s8//7ynp+ewrpFjS09PnzNnDpVKfeAHzd69ex/yOdVqdWZmZlRUlO6W+vp6Dw+PMR41MDDw/fffP/DJBwYGcnJy3N3d8bskEsnGxiY6Oho/AMBms11cXFJTUx+yVAAeT05OjouLC94oFkwBkNAGr7GxkU6nD1u+ikwmazQaiUSiVCoRBCkrK0tKSoqMjPzxxx//+OOP48eP//3vfy8tLb169eovv/yyefPmc+fOicVi/LESieTnn3/+6aeftm3b9vvvv+OznP75z38uXbqUx+N98cUXfX19e/bsCQwMXLNmTUVFBYqi2tfNysricDi6rasoFIqJickjxTOCIOnp6REREQ9zfFuhUDzkc6IompGRoU1opVKZlpZWVFT07bffjvEoDMPw7tdjMzY2VqvVulc5czgcbd9JMplsZmZGo9Fqa2sfstppbmBgYNgN8EBKpbKkpCQgIACatUwZkNCGrbu7u6Ojw83NbdjFV93d3RKJxMzMDD8d5evru2HDBmtr687OzsDAwBUrVnR2dn755Zd8Pv/555//05/+dPr06YqKCvyxv/zyC4/HW7hw4Ycffnjq1Knc3FwURePj40+cOOHn58fhcKhUqrOz8xdffLFv3z5vb29t+ra0tBgbG1MolHEeYbt7965SqYyKiprA2S74TDGVSnX37t1ff/318OHD33zzTXNz882bN728vMb//A4ODuvXr9+6dautre3q1asvXrxIJpN1zwWyWCwXF5f8/Pzxv9aURyKRtPMnWCwWHLB9SE1NTSKRKCQkZDp0d50mIKENW2VlpVKptLW1HfZ/sqysjEajWVpa4p9uZDKZxWL19/e7ublxuVwKhcLlcvFjyBQKxdPTUywWS6VS/LGtra3Z2dlisZhKpXI4nLKyMpFIRKFQaDTazp07T5w4cePGDRqNFhISwmKxyGSy7owwHo83/iNsN27csLOzs7a2nsCPZhRFb968OXPmzPXr1z/77LPx8fEFBQV0On2iWmEyGIykpKTKysodO3ZIJJJNmzYdOHBAdwdjY2MzMzOiRoRNTU3av1/9h41AdEX6Tq1Wd3d3p6WlKRQKEomkVqvhlzY1wFxuw1ZRUcFkMvl8/rAwKy0t9fX1dXNz093I5XItLCzwPS0sLExMTPDOS/gW7X/pv/3tbwiCSCSS8vLytrY2Op2uPY4dHh4eHR29e/fu/fv3a+Nfq6WlhUajPeoB7ZHS09N9fX3vNxbftGmT7nH11NTUpKQk7d3Y2NilS5eOfBR+iDs6OtrIyAjDMFtb28WLF2/atGnt2rXD9uzr69u6dav2rlwuLygo6Onpwe+amZnFx8fHx8cPexSJRDIyMuJwOImJiS+88MKJEyd+++231157TbsDjUZjs9nFxcUP+1uYUO+88865c+dMTU15PJ6Dg4OjoyOfz7ezs7O3t7e1tXVwcOByuTD713AplcrS0tKysjIPD4/Kyko/Pz/o2jI1QEIbMAzDKioqhvW6wDAsLS1NLBa//PLL2olLj/ScNTU1hw8ftra2fu6551xdXWk0Gj6OwfPS29v7X//6V1lZmbOz82Nf8Tx2Aenp6X/+85/vd4h72GnjpKSkgwcPPvA58aPceJaTSCQMw7Tn3YextLTUfcLu7u59+/Z9/PHH93tykUh0+/ZtgUCgvcDMwsIiICDg+vXruruhKCqXyxkMxtilPiFCofDChQtyubyhoaGhoYFMJuPfVLTfdUgkEpvNtrW1dXR0dHJyIupKevB4TE1N58+fP3/+fKILARMMjnIbMKlUKhKJ3N3d7ezs8C0Yhg0ODp48eTIqKkogEIzx2PsdBJNIJO+++66Pj88bb7zh5eWlUChQFG1tbcUnZLW0tFhbW2/btu3IkSM1NTXDnsTe3r6rqwufm/ZAeGqOLKOxsVEkEs2bN28CT0JjGFZfXy+VSrXTxFAUzczMdHJywjBMo9GM55CgRCK5ffu2RqPRvpZEIuno6IiNjdXdDUVRFEW1f1OTLCIiQlshgiAajUalUukeisAwrK+vr6Ki4sqVK+bm5kKhkIgyAQD/AxLaUKEoWlpa2tfXZ2tra2pqqlKplEplW1vbgQMHEhISVq9erdt4TqPRoCiq++fg4KBCoVCr1Wq1WqVSaX/U2dnZ39/v6OhoamqqVqvlcrlKpaqpqRkYGFAoFL/99pujo2NsbOz8+fP3799fV1enm7L29vbd3d3DEhoPg97eXhRF8VTA929sbDx69KhUKtU+HMMwlUqVlpZmZmZmb2+Pr74yzt8SPvqXy+UpKSlubm7alhUYhkmlUiaTOTQ0VFhYeO/evcd+Cblcnp2dfeHCBZVKpVKpFApFXV1deXm57iFufLfu7m6ixtDBwcEP7IZpZGTk4+OTnZ29Z88emGoEgD6Ao9wGSSaTpaen//DDD7W1tZmZmSKRCEEQqVSqVCqfe+65oKCgYfvfu3fvzJkzpaWlFy9e9Pb2rqioyM7OxjDM1dV1xowZ+IoiP//8M4/H8/X1TUxMzMzMHBwcZLPZb7755k8//SSXy8+dO3fu3Lmurq7o6GgEQfAoVSqV69atmzNnDn4+m8Fg2NjY4MeQtaeQ29raLl++fO7cuerq6n379s2dO3fhwoVmZmZ5eXl79+6NiIjw9PTEdxaLxT/99NMPP/xgYmJy9OjR9evXT8i5tN7e3mPHjvX19UVHRx85cgQPThqN9s4773z//feXL182MTEJDQ197Odns9nLly93dXU9ePCgqampRCLhcrk7duwYtptEIsGPDYzrzTwWtVpdWlrK5/Pr6+tH/dKDn4HeunXr1q1b4VJaAPQHCab8gQl06tQpExOTp5566mFaxzc0NJBIJAcHh/Ec0H7nnXe++uqrx374A/X09Bw8eBCfPffY1Gp1WVnZpUuXPvzww4kqbGwKhSInJycjIyMzM/PWrVtisRg/0KJ7ZBtHIpHCw8OPHj3q7e2t3Xj16tWnnnqqr6+PzWZPTsF6yNXVNTEx8YMPPiC6EDB9wVFuMJFWrlyZl5fX3d2te9bzfpqbm3k83jjPN09U34v7YTKZ69atG88zYBjW0tKSmZm5cOHCCSpqdIODg6mpqdu3b4+Li2Oz2fPmzdu/fz+dTv/HP/6Rl5eXkpIyLJ6NjY3Nzc2/+uqrzMxM3XgGAOgJOMoNJtiCBQsKCgpYLNbYiwNrNBqZTDb+QzjOzs7jfIaxGRsb29vbj+cZlEplT08Pg8EIDAycqKq0Ojo6cnNzs7KyUlNTCwsLNRqNq6urQCDYt2+fQCDw8/PT7imTySgUCh7S+JJzsbGxycnJ43x3U1tzc/PAwACTySS6kPuqqKioqal54G4MBgNmehsiSGgwwebNm3fjxo2enh46nT7GJbYSicTJyWk69Mjr6+traWlZvXr1RD1hQ0NDZmZmVlZWZmZmRUWFkZGRl5eXUCjcsmVLVFTU/U7em5mZBQYG5ufnUygUNpuNdwidqJKmqp9//vmHH35Yvnz5q6++OvbFEUQpKCh4mI4szs7OkNCGCM5DA6Dv8NaWeCSnp6c3NzebmZkFBwcLhUKBQBAZGfmQg7zNmzfv2bPn1Vdf/fzzz8d+CJyHRhDE1dV17dq1PB7v0KFDBQUFXl5eL7/88kRNYATgYUBCA6CPZDJZQUEBnsqZmZn9/f0MBiMsLCw2NlYgEMyaNesxLoi6desWiqKRkZEP3BMSGvnfmWL5+fnHjh07ceKERCJ59tlnExMTY2JiYMFw8KRN/WOMABiKwcHBO3fu4EewMzIyhoaGeDyeUCjcvn27UCgMDg4e5xLic+fOnahSp5vQ0NDQ0NDPPvssJSUlOTk5Li7OwcFh5cqVr7/+uqOjI9HVIQiCyOXyxsbGmpoaFotlbW1tZGSkVCqlUqmPj890/ppl6CChASBSe3s7PkrOysrSner19ddfx8XFubi4EF0g+C8ajbZs2bJly5ZVVVX98MMP33333RdffBEdHZ2YmPjcc88RO6kCX3tn69atK1euDAsLo1AoUqm0paWluLh4xYoVsIyrgYKEBmCyDZvqRaFQAgMDBQLBli1boqOjra2tiS4QPIC3t/euXbt27Nhx8eLF5OTkF154gcfjrV69euPGjUR9qWKxWHjnujVr1vj4+OAb+/v7X331VTab/eKLLxJSFRgnSGgAnjgURYuLi/FUvn79ek9Pj7m5eVBQUEJCAn5Z1AOX5AR6yMTEBB9S19bWfvfddz/88MPnn38+f/78xMTExYsXT36vsMLCQkdHR3yBPxydTl+wYMH3338PCW2gIKEBeCKkUmlhYSE+UM7IyBgYGOBwOGFhYe+9955AIAgLC4P1NacMDw+PXbt2ffLJJ9evX09OTl6xYoWNjc3y5csTExN1L0l/0kpKStzc3HQTGkEQFotVW1urVCrh35shgoQGYMKIxeKcnJzU1NTMzMzc3FylUolP9dqxY4dQKAwJCYHZv1OYkZFRbGxsbGxsa2vriRMnDhw48PXXX4eGhiYmJq5atWpYcE44mUx29+7dpUuXatvD4AYHB/E+ck/01cETAgkNwLi0tbXhA+WsrKyCggK8H0lsbGxiYmJkZOSTXvIM6CE+n79ly5bNmzenpaUlJydv2rRpy5Yty5cvf/3115/EunK4xsZGmUzm6elJo9G0GzUaTUVFhZWVFZxGMVCQ0AA8soaGBnygnJmZ2djYqDvVKyYmxtLSkugCAfHIZDI+pG5vbz927Njhw4eTk5PxIfXKlSstLCwm9uWKi4vZbLalpaXuJXkajebWrVsPcwU80E+Q0AA8mO5Ur7S0tN7eXgsLi/Dw8DVr1uALe8EYBdwPj8fDh9S3bt06fvz422+/vXnz5hdffDExMXE8bU+HKSkp4fF4wxqQl5eXDwwMrFy5cqJeBUwySGgARqed6pWampqVlSWXy7lc7qxZszZv3iwQCGbPnj35k3WB4SKTyUKhUCgU7tq168yZM99++21ycrKvr++aNWs2bNgwzuMuKpWqoaEhODhYd2iuUCj27t370ksvzZw5c9zlA2JAQgPwX52dnTk5Ofh5Zd2pXnv37hUIBL6+vjDVC4wTm81OTExMTEzMz89PTk7euXPn9u3bExISxrOSaHt7u1gs9vLy0ib0wMDA1atX2Wz2xo0bJ7R8MKkgocF0h0/1ws8rV1ZWkslkvFVUYmJiVFSUnqzpCKae0NDQQ4cO7d69+/Tp0wcPHoyLi/P29l63bt0jNedAUbSpqenixYttbW2dnZ2FhYUIgigUir6+PplM9tFHH8GsCIMGCQ2mHd1WUTdv3mxqajI2Ng4ICEhISOSDyoQAABY0SURBVNi1a5dQKIR1jMGkYTKZukPqTz75ZNu2bYsWLXrIITWGYUqlksFgLF26lMvlymQyBEHkcjmVSl21atU4F3IHhIOEBtOC7lSva9eu9fX10en02bNnr1u3Dj87qHuNCgCTDx9S79u3T9ucw93d/aWXXnrllVccHBzu9yhjY2MfHx/tMp9gioGEBlOWRCK5ffu2dgVshUJha2s7c+bM999/PzY2dvytogCYcNrmHJWVlT/++OP+/fs//vhjPWnOASYf/H2DKaWjoyM3Nxc/r6zbKgpf/noyl2AEYDx8fHxGbc6RlJQEy+BMH5DQwODptorSneq1ZcuWqKioh590A4C+0TbnqKmpOXr06Pfff09scw4wySChgeHRneqVnp7e3NxsZmYWHByMT/WKiIiAbrhgivH09Ny1a9c//vGPP/744/jx43hzjrVr17766qvu7u5EVweeGEzH6dOniS5HLxw8eBADekapVObl5e3atWvhwoX4XGsGgxEbG7tt27arV68qFAqiC5xSrly5giBIX18f0YUQycXF5dNPPyW6itG1tLTs2rXLyckJ+c8UM5lMRnRR45Kbm0vw575+eP/993V/LaOMoad5Tq9fv57oEsC/DQ4O3rlzR3eqF75+yLZt24RCIUz1AtPW/ZpzvPHGGwEBAURX9/i++eYbDodDdBWE+eCDD4ZtGSWhly9fPinF6ClYgodY7e3teEeKrKysYVO9YmNjXV1diS4QAH0xrDlHcnKytjnHSy+9NKwNpUF45plnpvP/8c8++2zYFjgPDYinO9WroqJCt1VUdHS0tbU10QUCoNe0zTnS0tKOHTumbc6xcePGkJAQoqsDjw8SGhBAO9UrNTU1PT29u7vb3Nw8KCgIn+oVGRnJZDKJrhEAA6MdUu/bt2/Cm3MAQkBCg0kik8kKCgrwgXJGRsbAwACHwwkLC/vLX/4iEAjCwsKoVCrRNYL/4eLiMp07hYjFYqJLeExjNOeIjY0lujrwCCChwRMkFotzcnLwphR5eXlDQ0P4VK8dO3YIhcKQkJDpHAD6zNfX9+DBg0RXQbzZs2cTXcK43K85xyuvvAInjwwCJDSYYHirqGFTvWJjYxMTEyMjI2E5JIPA5/NhyuSUMc7mHIBAkNBgAminel29erWxsVF3qtf8+fOtrKyILhAA8O8h9d69ey9duoQ35/Dw8HjllVfWrVvH5XKJrg6MAhIaPA7dVlFpaWm9vb0WFhaBgYHLly+PjY0VCASmpqZE1wgAGIWpqaluc47PP//8ww8/hOYc+gn+MsDDkkqlhYWF+ATsrKwsuVzO5XJnzZq1efNmgUAwe/ZsWCUYAAMysjmHnZ3dqlWroDmH/oCEBmPp6uq6c+cOfl45NzdXqVTiU7327t0rEAh8fX3hJBYABg2ac+gzSGgwnO5Ur4KCAm2rqMTExHnz5uFLAQMAphhtc44LFy4cO3ZM25xjw4YNbm5uRFc3TUFCA0Sj0VRWVuKpfPPmzaamJt2pXjExMbDWAQDTBJVKxYfULS0tJ0+e/H//7//t3r177ty5a9asWb16NcwvmWSQ0NOU7lSva9eu9fX1WVhYhIeHr1u3TigUCoVCGo1GdI0AAMLY29vrNud44403pkZzDsMCCT2NSCSS27dv46mMT/WytbWdOXPm+++/HxsbC62iAADDTL3mHIYFPpGnuM7OzpSUlA8++EAoFFpaWsbFxR0/fpzH4+3du7esrKy9vT0lJWXLli2hoaEQzwCA+8Gbc9TW1l69etXV1fXNN9+0s7PbuHFjQUHB2A/EMOyvf/3r0NDQ5NQ5xcAYegrSbRVVWVmpO9UrOjrawcGB6AIBAAZJO6QWiURnzpz55ptv8CH16tWr16xZw2azRz7k+vXru3btSk9Pv3TpEixe9Khg2DQVqNXq8vLy5OTkNWvWODk5ubm5vfbaa+Xl5QkJCRcuXOjp6SkvLz906NCaNWsgngEA44c35ygtLc3LywsNDd26daudnd3y5ctTU1OH7Xno0CEKhZKfnx8aGlpbW0tItYYLxtCGSqVSlZSU4E0psrKyRCIRnU6fPXv2yy+/LBQKIyIiTExMiK4RADDF6TbnOHDgQFxcnI+Pz9q1a/HmHL29vefOnUNRFEGQ1tbWmTNnXrx4cd68eURXbTAgoQ3J4ODgnTt3tEewFQoFvn7Itm3bhEIhTPUCABBiWHOOjz/+GG/OYWVlpdFo8H1QFJVIJHFxcUePHl21ahWxBRsKSGh9197enpeXh6+1qW0VJRAI9u3bJxAI/Pz8iC4QAAD+DR9Sf/755z/99NORI0fOnDmju+ygRqPRaDSrV6+uq6vbvn07cWUaDEhofaQ71auiosLIyCgoKAhfPyQ6OhoauwIA9BmDwdi4caO/v79QKMQwbOQOO3fubGxsPHLkCKwqOjZIaL2gVqurqqrwgXJ6enp3d7eZmVlwcHBCQsKuXbsiIyOZTCbRNQIAwCNITk42NjZWqVQjf6TRaE6dOtXU1HT+/HkWizX5tRkKSGjCyGSygoICfKCcmZnZ39/PYDDCwsL+8pe/CASCWbNmwVQvAICBGhgYOH369KjxjENR9NatW2FhYVeuXIFWWvcDCT2pxGJxTk4OfgQ7IyNjaGgIn+q1fft2oVAYEhICraIAAFPAyZMnH7hKiUqlqqurmzlz5u+//w4ffaOChH7idFtFaad6xcbGrl69OiIiwsXFhegCAQBggimVyrVr18pksoGBgaGhob6+PpVKNTg4qFAohoaGZDIZPscbw7De3t6oqKgdO3YQXbI+goR+IrRTvVJTUxsaGnRbRc2fPx8W1gEATG1vv/322DtgGNbf369UKqVSqVQqLSkpmZzCDAsk9MTQbRV1/fr1np4ec3PzoKCgZcuWxcbGCgQC6NoGAABaJBJJd5VQWLh7VJDQj08qlRYWFuJHsDMyMgYGBjgcTlhY2HvvvScQCMLCwqhUKtE1AgAAMFSQ0I+mq6vrzp07eCrn5uYqlUp8qteOHTtgqhcAAIAJBAn9YLpTvQoKCnRbRc2bN8/JyYnoAgEAAExBkNCja2howJtSZGRk3L17V3eqV0xMjKWlJdEFAgAAmOIgoUexc+fOpKQkJpMpEAgSExMjIiJg/RAAAACTDBJ6FEuWLFm/fr2/v7+RkRHRtQAwvQwMDFRUVOTn5/N4PD6fr1AoBgcH7e3tg4ODiS4NgMkGzQpH4evrGxgYCPEMwORTq9Wtra27d+9ua2uTy+Uymayrq+vs2bMZGRlElwbAZIMxNABAj1haWnK5XC6Xu2TJEjs7OwRBent7P/rooxMnTkRERBBdHQCTCsbQAAD9UlhY6Obmpp35QSKRNBqNQqEgtioAJh8kNABAvxQWFvr4+OAJrdFoampqurq6EhISiK4LgMmmLwl9+/bt1157jUQivfbaa2lpaQMDA7D0BwDTkEgkunv3romJSV1dXW5ubkZGRmVl5dKlSxcsWEB0aWBKIY2waNGiPXv21NTUEF3af+lFQt++fXvOnDnz5s3DMOzAgQNWVlarV68muigAAAGqq6vJZLKbmxuVSlWpVL/99huJRFqxYoWFhQXRpYEpBcOwzs5O7W0Mw44cOdLf3+/l5VVcXExsbVp6kdA//vgjgiAvvvgifjcwMHDnzp2EVgQAIEZZWRmXy505c6avr29ISIitre3NmzeJLgpMTRwOZ9jd9957D0GQgwcPElTRcHqR0K2trQiC6H5tCQwMJK4cAABhampq+Hy+ubk5giA0Gs3FxQUSGkwaJpOJQEIPg4+Yg4KCDh8+PDAwgG/EMIzQogAAk00qlba0tLi6umqPaVdWVrJYLGKrAtPHvXv3EAT54osviC7k3/QioQMDA6urq5OSkhITE1ks1s8//6zNaQDA9FFfXz8wMODi4kKj0fAttbW1NjY2Q0NDbW1tEomE2PLA1FZcXLxp06aEhAT9mQilFwmNIIinp+eBAweys7OTkpJWrFjBYrFSUlKILgoAMElQFK2trc3IyGAwGM3Nzdownjt3LovFKi4ubmlpgWX+wBOCz+UOCgp6++23L168OOz8NIH0JaFx4eHheE4nJCQsWrQIQhqAaYJEIpmamgYFBSUmJgYEBFAo/17ucMmSJa+88oqlpaWDg4OpqSmxRYKpCp/LnZCQcP36daJr+R96kdAkEkn3sHZ4ePi3336LIMiiRYuIKwoAMHmMjIzs7e0FAkF0dPTs2bPNzMzw7TweLzY21t3dncfjEVshmPKOHDlSXFz897//nehC/ksvEhpBkPz8fN27jo6OCILAKkIAAAAmB4fD0beQ1pfOGTExMdeuXQsNDWUymQMDA7///jvynzneAAAAwITr6urS3sDPPXM4nJ07dwYFBTk6Oj777LOEn5DWlzE0hmH29va//PILiURisVjl5eXV1dVwVTQAAIAngUQicblc/DaXy9WuMx0YGFhUVJSYmMjlcvfs2UNcgQiiJ2No/NJnT09PT0/PDRs2EF0OAACAKW6MJTcCAwP1ZEEOfRlDAwAAAECXXoyhAQDTXHp6enJy8tj7REdHwzE2MK1AQj8ChULR3t7e1tbW0dHR2tra0dHR1tbW3NxsZmYGl24DMB6Ojo4PvLrS1dV1cooBQE9AQo+iubn5zJkzeBi3t7e3trbeu3evs7NTLBZr96FSqWQyWa1Woyi6Zs0aAqsFYApwdXWFAAZgGEjoUZiamiYnJ6empiIIYmRkpFarR+6jVCrxG0ZGRpGRkZNaHwAAgGkAEnoU1tbWV69ePXPmzIYNG2Qy2agJraVWq+fNmzdptQEwtXV2dt64cePSpUuenp4+Pj7x8fHaPlcATDcwl/u+li1bVl1dvWzZMgRByOT7/qLYbLabm9sk1gXAVEan0zkcTmZmppeX14wZM0xMTIiuCADCQEKPhcvlnjx58uLFizY2NsbGxiN3MDIyEolETCYzLi5u+/btKSkp/f39k18nAFOGmZmZQqFgsVizZ8/28PAY9f8dANMEJPSDJSQkVFVVrV27lkQiDet/RyKRNm/evH37djab/d133y1atMjGxiY4OPiNN944fvx4XV0dUTUDYLgKCwtdXV3Nzc21yzwBMD3BeeiHwmKxDh8+vHr16nXr1jU3N6Moim9HUXTt2rV+fn7vvPMOgiAtLS3Z/3HkyBGlUmljYzNnzpzw8PCwsLDQ0FAWi0Xo+wDAAFRWVvr7+8PxbQBgDP0IIiMjS0tLN23aRCaT8f61DAbD19dXu4O9vf2yZcu+/PLL7OxssViclZX1wQcfGBsb79+/PzY21tLS0tPTc+XKlV9++eXNmze1PeoBAFoikaitrS0kJIRGoxFdC3jiNBrNjRs3Xn/9dehkOCpI6Edjbm7+1VdfZWVl4dduzps3734H4kxMTObOnfvuu++ePXu2paWlra3twoULK1asGBgY+Oyzz+bNm8dkMv38/NauXfvNN99kZ2fL5fLJfSsA6KOamhqNRuPg4DDsjBKYSjAMy8rKeuutt+zt7aOiorKysp577jmii9JHcJT7cYSHh5eWlv7f//2ftbX1Qz6Ex+MlJCRovyfeu3cv7z+2bdsmEokoFIqfn19ISEhgYGBAQEBgYKClpeUTewcA6KmysjIGg0Gn07XffVEUFYlENjY2xBYGxg9F0Zs3b164cOHcuXPNzc2+vr4bN25cvny5j49PXl7egQMHiC5Q70BCPyYqlbp9+/bHfrijo6Ojo+Pzzz+P362rq8PTuqio6OLFi729vQiCODg4aNM6MDDQ3d0dRhVgyisrK+Pz+dproDUaTVtb29DQECS04RocHLx8+fKFCxf+9a9/iUQif3//tWvXLl++fMaMGUSXpu8gofWCu7u7u7v7iy++iN9tbW0tKSkpLi4uLi4+f/787t27URQ1MzPz9/fH0zogIMDf35/NZhNbNgATq7+/v6WlJSoqisFg4FtUKtWVK1dWrlxJbGHgMdTV1V25ciUlJeX69esoigqFwr/97W/PPvssLCDx8CCh9RGfz+fz+U8//TR+V6FQlJeX44FdUlJy9uxZkUiEIAiXy/X19fXy8vL19fX29vb29nZwcCC0cADGpa2tTSqVuri4aKeJpaSk9PX1mZmZEVsYeEj9/f1paWlXrly5evVqQ0MDnU6Pi4s7dOjQwoULraysiK7O8EBCGwAajRYaGhoaGqrdcu/evcrKyoqKiqqqqvLy8rNnz/b09CAIQqfTvb29fXx8fHx8vLy8/Pz8XF1d8WnnAOgzlUpVXFz8/fffV1ZWZmRk9PT0dHR0lJeX5+bmnjx5kujqwFhkMtnt27dv3rx59erVnJwcDMNCQ0NXrlwZFxc3Z84cWHNmPOCz2yDhp7Hj4+O1W3p6eiorKysrK6uqqioqKm7evNnU1IRhGJVKdXV1dXNzc3V1dXFxwTsIubi4wFrHQK8YGRl5eXm9++67iYmJLBbLxMREqVRKpVKFQuHn50d0dWC4np6erKysjIyMzMzMgoIClUrl7OwcGxv71ltv4VeWEl3gFAEJPUVYW1tHRERERERot0il0urq6qqqqqqqqsbGxvz8/DNnznR0dOA/5XA42szWJre9vT1MRgOEIJPJdDqdTqcTXQgYnUQiKS4uLiwsLCgouHPnTmVlJYlE8vPzi4iIeOuttyIiIuzt7YmucQqChJ6yzM3NQ0JCQkJCdDfK5fKG/2hsbGxoaDh//nxjY6NMJkMQxNjYGD8FzuPx7HTweDw+n89kMgl6KwCAydba2lpVVYVHcmFhIX6dOpvNDg4OTkhI+OyzzwQCAUxWfdIgoacXU1NTPz+/kYcNOzo68Mxubm5ub29vbW3Ny8trbW3t6OgYGhrC9zEzM+Pz+ba2tvb29viflpaWLBaLzWaz2Wz8BoyBADAsGIZ1dXU1NjZWV1fX1tbW1tbW1NTU1tZKpVIEQXg8XkhIyNKlS4ODg4ODg11cXIiud3qBhAYIgiC2tra2trZz584d+aPu7u6Ojo6WlpbOzs6Wlhb8dnZ2dktLi0gkwv8ba1EolGGZjd9gsVimpqY0Gs3MzMzExMTc3JxKpdLpdN1ZbCwWCzolADBR5HK5QqFQKBT4DfxPkUjU1dXV1tbW1dXV3t7e0dHR1dWFNxqg0Wju7u6enp7x8fGbNm3y8PDw9vbmcDhEv49pDRIaPICNjY2Njc391hZQKpX9/f0ikQj/c+SN2tpa/Db+GSGTybSDcgDAZDI1NWUymRwOh8/nczgcf39/W1tb/K6zs7ODgwOZDOtA6xdIaDAuVCqVw+E86hdtiUSiUqnEYrFarca3qNVqsVj8BAoEYJqi0Wj4gStTU1P8BtEVgUcGCQ0IgF/rBdNMAABgDHBMAwAAANBHkNAAAACAPoKEBgAAAPQRJDQAAACgjyChAQAAAH0ECQ0AAADoI0hoAAAAQB9BQgMAAAD6CBIaAAAA0EejrCmWmJg4+XXoD7wPIwAAgEn24YcfTuf+ePfu3Ru25X8SmsvlxsTENDQ0TGJJegdakQMAwCRjMBgxMTHd3d3d3d1E10KYwMBADw8P3S0kDMOIqgYAAAAA9wPnoQEAAAB9BAkNAAAA6CNIaAAAAEAf/X+mR5cjd9YQzAAAAABJRU5ErkJggg==" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from epymorph import ipm_library, render, render_and_save\n", + "\n", + "ipm = ipm_library['pei']()\n", + "\n", + "\n", + "render(ipm)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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" + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model saved successfully at scratch\\sirh\n" + ] + } + ], + "source": [ + "ipm = ipm_library['sirh']()\n", + "\n", + "# Assuming you have a \"scratch\" directory in the main Epymorph directory\n", + "# If not saving, provide an absolute file path\n", + "render_and_save(ipm, r\"scratch\\sirh\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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" + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model saved successfully at scratch\\seirs\n" + ] + } + ], + "source": [ + "ipm = ipm_library['seirs']()\n", + "\n", + "# Assuming you have a \"scratch\" directory in the main Epymorph directory\n", + "# If not saving, provide an absolute file path\n", + "render_and_save(ipm, r\"scratch\\seirs\")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ipm = ipm_library['sirs']()\n", + "\n", + "render(ipm)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ipm = ipm_library['sparsemod']()\n", + "\n", + "render(ipm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The LaTeX conversion in `draw` auto truncates overly long constant values" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " compartment('V'),\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " param('theta', shape=Shapes.TxN),\n", + " # add a parameter to simulate the rate at which vaccinated become susceptible\n", + " param('phi', shape=Shapes.TxN),\n", + " ])\n", + "\n", + " [S, I, R, V] = symbols.compartment_symbols\n", + " [β, γ, θ, φ] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961567945208095146550225231603881930142093762137855956638937787083039069792077346722182562599661501421503068038447734549202605414665925201497442850732518666002132434088190710486331734649651453905796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007230558763176359421873125147120532928191826186125867321579198414848829164470609575270695722091756711672291098169091528017350671274858322287183520935396572512108357915136988209144421006751033467110314126711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064204675259070915481416549859461637180270981994309924488957571282890592323326097299712084433573265489382391193259746366730583604142813883032038249037589852437441702913276561809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915441101044682325271620105265227211166039666557309254711055785376346682065310989652691862056476931257058635662018558100729360659876486117910453348850346113657686753249441668039626579787718556084552965412665408530614344431858676975145661406800700237877659134401712749470420562230538994561314071127000407854733269939081454664645880797270826683063432858785698305235808933065757406795457163775254202114955761581400250126228594130216471550979259230990796547376125517656751357517829666454779174501129961489030463994713296210734043751895735961458901938971311179042978285647503203198691514028708085990480109412147221317947647772622414254854540332157185306142288137585043063321751829798662237172159160771669254748738986654949450114654062843366393790039769265672146385306736096571209180763832716641627488880078692560290228472104031721186082041900042296617119637792133757511495950156604963186294726547364252308177036751590673502350728354056704038674351362222477158915049530984448933309634087807693259939780541934144737744184263129860809988868741326047215695162396586457302163159819319516735381297416772947867242292465436680098067692823828068996400482435403701416314965897940924323789690706977942236250822168895738379862300159377647165122893578601588161755782973523344604281512627203734314653197777416031990665541876397929334419521541341899485444734567383162499341913181480927777103863877343177207545654532207770921201905166096280490926360197598828161332316663652861932668633606273567630354477628035045077723554710585954870279081435624014517180624643626794561275318134078330336254232783944975382437205835311477119926063813346776879695970309833913077109870408591337464144282277263465947047458784778720192771528073176790770715721344473060570073349243693113835049316312840425121925651798069411352801314701304781643788518529092854520116583934196562134914341595625865865570552690496520985803385072242648293972858478316305777756068887644624824685792603953527734803048029005876075825104747091643961362676044925627420420832085661190625454337213153595845068772460290161876679524061634252257719542916299193064553779914037340432875262888963995879475729174642635745525407909145135711136941091193932519107602082520261879853188770584297259167781314969900901921169717372784768472686084900337702424291651300500516832336435038951702989392233451722013812806965011784408745196012122859937162313017114448464090389064495444006198690754851602632750529834918740786680881833851022833450850486082503930213321971551843063545500766828294930413776552793975175461395398468339363830474611996653858153842056853386218672523340283087112328278921250771262946322956398989893582116745627010218356462201349671518819097303811980049734072396103685406643193950979019069963955245300545058068550195673022921913933918568034490398205955100226353536192041994745538593810234395544959778377902374216172711172364343543947822181852862408514006660443325888569867054315470696574745855033232334210730154594051655379068662733379958511562578432298827372319898757141595781119635833005940873068121602 * β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " edge(S, V, rate=θ * S),\n", + " edge(V, S, rate=φ * V),\n", + " ]\n", + " )\n", + "\n", + "\n", + "debug_ipm = construct_ipm()\n", + "\n", + "render(debug_ipm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Edges will extend along with attribute names" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " compartment('V'),\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " param('theta', shape=Shapes.TxN),\n", + " param('es9Lw5E8pMZjfAuN1bgr0OuTGky7xQHdaFc6VoP3X2B4WnSIYzDqCtRKmJelhivU',\n", + " shape=Shapes.TxN)\n", + " ])\n", + "\n", + " [S, I, R, V] = symbols.compartment_symbols\n", + " [β, γ, θ, lorem] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " edge(S, V, rate=θ * S),\n", + " edge(V, S, rate=lorem * V),\n", + " ]\n", + " )\n", + "\n", + "\n", + "debug_ipm = construct_ipm()\n", + "\n", + "render(debug_ipm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Repeat edges are summed in the label" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sympy import Max\n", + "\n", + "from epymorph import *\n", + "from epymorph.compartment_model import *\n", + "\n", + "\n", + "def construct_ipm():\n", + " symbols = create_symbols(\n", + " compartments=[\n", + " compartment('S'),\n", + " compartment('I'),\n", + " compartment('R'),\n", + " compartment('V'),\n", + " ],\n", + " attributes=[\n", + " param('beta', shape=Shapes.TxN),\n", + " param('gamma', shape=Shapes.TxN),\n", + " param('theta', shape=Shapes.TxN),\n", + " param('phi', shape=Shapes.TxN)\n", + " ])\n", + "\n", + " [S, I, R, V] = symbols.compartment_symbols\n", + " [β, γ, θ, φ] = symbols.attribute_symbols\n", + "\n", + " # formulate N so as to avoid dividing by zero;\n", + " # this is safe in this instance because if the denominator is zero,\n", + " # the numerator must also be zero\n", + " N = Max(1, S + I + R + V)\n", + "\n", + " return create_model(\n", + " symbols=symbols,\n", + " transitions=[\n", + " edge(S, I, rate=β * S * I / N),\n", + " edge(I, R, rate=γ * I),\n", + " edge(S, V, rate=θ * S),\n", + " edge(V, S, rate=φ * V),\n", + " edge(V, S, rate=θ * V) # notice the repeat edge\n", + " ]\n", + " )\n", + "\n", + "\n", + "debug_ipm = construct_ipm()\n", + "\n", + "render(debug_ipm)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 8d6f7cbfba8ccdbac1044b3f7f3765d928b59ff1 Mon Sep 17 00:00:00 2001 From: Tyler Coles Date: Thu, 4 Apr 2024 15:27:23 -0700 Subject: [PATCH 22/23] No longer need to ignore an 'official' model images folder. --- .gitignore | 3 --- 1 file changed, 3 deletions(-) diff --git a/.gitignore b/.gitignore index 6d497b95..be17ec93 100644 --- a/.gitignore +++ b/.gitignore @@ -18,9 +18,6 @@ dist/ build/ *.egg-info -# Visualization Saves -model_pngs/ - # Testing & dev .pytest_cache/ debug.log From 8f2639d5cb2af8943dcb47cb3f3cd21262924c2c Mon Sep 17 00:00:00 2001 From: IzMo2000 Date: Thu, 4 Apr 2024 17:09:48 -0700 Subject: [PATCH 23/23] updated devlog README --- doc/devlog/README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/doc/devlog/README.md b/doc/devlog/README.md index 47e09bd4..d1bb438c 100644 --- a/doc/devlog/README.md +++ b/doc/devlog/README.md @@ -46,6 +46,7 @@ This folder is a handy place to put Jupyter notebooks or other documents which h | 2024-02-12.ipynb | Tyler | | Continued age-class IPM work, this time in more than one geo node. | | 2024-03-01.ipynb | Tyler | | Getting the indices of IPM events and compartments by name with wildcard support. | | 2024-03-13.ipynb | Tyler | | Showing off movement data collection (NEW!) | +| 2024-04-04-draw-demo.ipynb | Izaac | | Showing the new draw module for visualising IPMs (NEW!) | ## Contributing