From 5f52fecc0d2525ba74bece5ff2102621375e462a Mon Sep 17 00:00:00 2001 From: Rushil Umaretiya Date: Thu, 21 Sep 2023 20:05:05 -0400 Subject: [PATCH] fixed minor mistake --- hw/hw3/hw3.fdb_latexmk | 8 ++++---- hw/hw3/hw3.log | 12 ++++++------ hw/hw3/hw3.pdf | Bin 172123 -> 172077 bytes hw/hw3/hw3.synctex.gz | Bin 50547 -> 49967 bytes hw/hw3/hw3.tex | 1 - 5 files changed, 10 insertions(+), 11 deletions(-) diff --git a/hw/hw3/hw3.fdb_latexmk b/hw/hw3/hw3.fdb_latexmk index dd0ee9d..5450afb 100644 --- a/hw/hw3/hw3.fdb_latexmk +++ b/hw/hw3/hw3.fdb_latexmk @@ -1,7 +1,7 @@ # Fdb version 4 -["pdflatex"] 1695319522 "/home/rushil/school/math/hw/hw3/hw3.tex" "hw3.pdf" "hw3" 1695319523 0 +["pdflatex"] 1695341062 "/home/rushil/school/math/hw/hw3/hw3.tex" "hw3.pdf" "hw3" 1695341063 0 "/etc/texmf/web2c/texmf.cnf" 1693368362 475 c0e671620eb5563b2130f56340a5fde8 "" - "/home/rushil/school/math/hw/hw3/hw3.tex" 1695319522 14989 87bc0b0b38513df51e06cb1a48f3c28e "" + "/home/rushil/school/math/hw/hw3/hw3.tex" 1695341062 14932 ba2cd31c7d8fd84d8b6e669b734a5966 "" "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 "" "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df "" "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 "" @@ -150,8 +150,8 @@ "/usr/share/texmf/web2c/texmf.cnf" 1681034085 39561 34c98e380bf7c7201ee6a7909aff625a "" "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1693368379 4623455 fa0568a71dd9a288d6c226ee477506c6 "" "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1693368408 7880218 5644a8bb2704ddc1060e0c139ce5389a "" - "hw3.aux" 1695319523 195 4c8818449daf66d8271d10ab24c41f38 "pdflatex" - "hw3.tex" 1695319522 14989 87bc0b0b38513df51e06cb1a48f3c28e "" + "hw3.aux" 1695341062 195 4c8818449daf66d8271d10ab24c41f38 "pdflatex" + "hw3.tex" 1695341062 14932 ba2cd31c7d8fd84d8b6e669b734a5966 "" (generated) "hw3.aux" "hw3.log" diff --git a/hw/hw3/hw3.log b/hw/hw3/hw3.log index b9cec8c..b65feed 100644 --- a/hw/hw3/hw3.log +++ b/hw/hw3/hw3.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30) 21 SEP 2023 14:05 +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30) 21 SEP 2023 20:04 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. @@ -555,22 +555,22 @@ Underfull \hbox (badness 10000) in paragraph at lines 324--326 [] [9] -Underfull \hbox (badness 10000) in paragraph at lines 343--345 +Underfull \hbox (badness 10000) in paragraph at lines 342--344 [] -Underfull \hbox (badness 10000) in paragraph at lines 357--360 +Underfull \hbox (badness 10000) in paragraph at lines 356--359 [] -Underfull \hbox (badness 10000) in paragraph at lines 360--361 +Underfull \hbox (badness 10000) in paragraph at lines 359--360 [] -Underfull \hbox (badness 10000) in paragraph at lines 367--368 +Underfull \hbox (badness 10000) in paragraph at lines 366--367 [] @@ -584,7 +584,7 @@ Here is how much of TeX's memory you used: 1141 hyphenation exceptions out of 8191 102i,12n,104p,445b,374s stack positions out of 10000i,1000n,20000p,200000b,200000s -Output written on hw3.pdf (10 pages, 172123 bytes). +Output written on hw3.pdf (10 pages, 172077 bytes). PDF statistics: 110 PDF objects out of 1000 (max. 8388607) 69 compressed objects within 1 object stream diff --git a/hw/hw3/hw3.pdf b/hw/hw3/hw3.pdf index b5c4849c9aa76149664b5740b9c15f2d0ee6cf67..d7ae0f94f38d1d5bdcc4a1e6b83a235f866d8f57 100644 GIT binary patch delta 1779 zcmVi{DRQJboszfAu_o z;^0!!UOoQ9Y;{7<W|S zi^<#ff_4{48ItYU{R*PpY|1 zahshl0S8kqKyL-I#fP94t|;1C<|?4Xacvrbbv!gYww@WJfjwYIAzK~HF3TShG5-x zy)4y$62+a}(dY>^1!IFue*n#u!Im~4)TO4RRI*C6WgQ36$fg0anro%^nC+`FJ5@DK zrpt5Z8jAiAutns-M&L;xG~_5<&qPN95z4_Wkl5MlBt{66SQEJF7D#NN&*2g^z(;gp z(&%#Au#Ai@XY;wg`q=AcbgSxS0enDkw2h% za9mCYSLHQEPa8!?hd0Ar*Q&OOP)R9DkQ!N2dU#_%PjG!p8v`7&+1eO%Z)12AVzqJ{ z1;HXIL!kT z+-b245l~3(QaOHVqhT>XC?dUTl$-`Pv{o9$o;)Ai5}UCNe{QOw&*mOVEho={v!@cW zJ-}9(Ej$WXphh7V5@|BQ_Og zf}5G>we>i$f0p*cDvV%Rm!n-ex}KU;5Cnn_>DqKU=U6Ck6cl(J3OEb}j)DRQpwJyC z^gV?F_CTT178daE%0dp5h5QOwz#WwZJiM}y17%_FDHNm1LO#5*a06xGz5*8Vj>z@L& zl9Xx3uq+ljs1JM(5EO!yy8a^2RzXK~dK5ua2Y~?{pR;MOE{U z1KGY=?tC86rfLNvzm8O2MY`{$1)cGURES(_+j_Ixm?ISa2A*E=OA2LfWOHDSsu+yDtM!6vy%NyI!T*qMr4tS3T-ctyk;SdMu4i z8i~Xr=^zpzA+(W-p^3ymLTom(fyKy#|HHyymk{pnSU&llb93(%5&1PD&T3LaY6*xy z#3QT`GD&911kCx09wbNsF%VqnE<&cr7?~l{Bu-+ah!jE`DZNobiXpCh9e+!S1LA$t z(Mif6z9k)9q#WXp>o`X|#0?1?>TZ;blS)zn2`2QwOR6BDtd3DqN9suf@sUQ-M4Cwp zX(fKrM%qaS>4ZeT^t~>~-v37d$W2768}hiU)dP9I)anHsw_1I`+LKlg$gFDh16Mh% z0pQiEH3)npwT58ad94sk2xwZvFsVhYFwFXkz@&dH8)3`lwq@(UvU6nFy|e5;Te9Dl zT*z{qw&Y`$lZ@r`L7$o@3ovI%ySx6BKg1C+LkeYXWOHh2~6iU48{W$DBePO&v zWop5S;e~J@9FbJ0#qeCbPu{E+SK~>4fF6@~*Q0s19QOx0x$Pq)qyER?tEVr3e`?=r zjZ*uRwHKfNG+vzXHyJBHOnw_Jukt5KJ}9H!WZ9w|_;oZr%fiUp>})xnO~ZSokR|m= ze?UaZ&$H|7rVlQe&HoAG7-nGW9w5&^0j_88?)P7YL0C(li}#)nd!Kun$Cc2*UnPNz zIJ@q>|ER<{zkel^#MFzMLh4!&e_K#uBHs4??5Ulx(;&%1F#R1uBtl9I@)(&iz^~`C zKKSHI{-+GV@@ljUQ(j(W^D;!Ec{w_rg%^w2WR*v15&j)d!!ZA{re$`S%@?J0SH~wc z(xtSH&ezBUQ>nCB3yh}cQ7sbL+fwE>qQpyMD}m*#awkkO`@9-$P=<&Fe@8M+U3;1+ ztV|vHT*64pexS742BBE6t+XD+peFTwe*gf9iFw5~iP~N@Z301;O(y|e!{!fc)A@w; z7X(~0h>2S_KR|NQkQjiL8Y+79jZS98pNsbA4YQ~vu)%WnFUNsV(}nD1)&(K6U>taOnzjM)*C zbE9yYcL%rmGbPU}MJL^h;ihU8%S0@tkOPE!=9JmJFi;@4InctOyKL4L2Gd#?p2S#< zUXo&1fFqJkb;ZF_;gaXbzl0%B%{eH zE8Dn>**r!-1=6Rmf7iy%VuVmkdaRUOL>IJL7}b_IcP@!lf7_<-tD(*27D}~AUPgOQ zR8VhVi^$Fb3RIxr>L^f-g53iJZhL9dlx}N#@j+0~d&f}UCx#7}WJzqpkvY~mK%}t5n)I5~x)$%!4Nh7|UAoJfTazklt_mhfODepq#$wgj@y51_ znT;-Hs#Vtee*^_T_|)n6tou< zv;zv$fWkadDD)O6Fs)&syRmp|X#qRZ0*-)%exS6_|G%_=9ckenDHPv4E#M*20$O?T zSQ7*GNDMe)VyNRJhTl=6{1KplBi5)!V!#m-LmwwGfBcRjrSXx1QLj>-cUJ8U+b}85|*c5X#`o?Ge7Sw{Taid1@tb1TzzZlw=!Ze{j9x5DL8djMk1KI!GFckW{205)wiTB*e%f!N9@? zkeGZ3gG3@sCPv=pEWiBEIeA|Zkv}8itRz*Wnt%vIJi;0z<7AqQ!kp~uAwlwpf#6hk z17v~>lPNMu;v_~2NIt}o(icUf5aN2!v6z22Al`Q!oumZfo72%nN+E%`j!EJnZb)!T zcSB@^l#?<@IH3nGsenXpbsQr#q?XhXAE_q|#7`PY6A6%J(n4BE8zdIe|Jotzt6D+G zRa&b9^0ccJf_y$}bpno8tuA2xTPqCY4z(h{`JGlb@RHQ(0lsoty)f=attd=1s?|OR zlgeuK!=!%&W+`IHELxT?Ei2cSwR=nU&9d=h*$i8@7c4txmc5MS;Kp+Fps9SCoK|gI68D7ro_n@EJGTvsLG4R(T1XrT2eAvl=9A*^aT#h{SuGhN_KD<20 zipnSBZz`s#<~0Ey(o`kwDEb)%STqn>#?LCv(&N{vTlw zw3#-0?xIfrCS#F@B$+C%y*kEUkHw&y5dOo=nr)|qjy(f1<$)rsDlaRIK(eS8tP99x zoOSN$AJ5z<^?2P;BH^vahNH$izbt>-sO%7n>%^52MnuoCx9;ZrF%-{V?~S%5UkjMH zKXhk#s)e-?BRdK6yWZ3f<~f;7+hH{>lAjiD8nV}EPdHpzJO8|LzIfZuXZ6VLi`*Nc zVsw6(BIk0>v3bBXn~*UX2BhrR8)-F@=-!r!U?TV^_%=P=pLD6=b!fwA z1W?bRv`$OfuuHhyLI<{A&@M zBa@z52?G4}4Sh1uCl(>&G>y!UeytzsAHg_o9typm(Wm=?z5QMbt?JeQWAO;=+?iI< z^LpF+Si+vaNh^XeICAMb^5+=T`@6fILRFxsfC;q=*9md>yDYh_c9PRi*lX(L{@@nt ztv-(-!yC4Idc04b4PrCT;&g>1hW5PWS+0?&kb^>9d8)4-njiBu9|jZ}-)CzL-E8fL zrIMWQR9^7tL>lq7=t6K}!^Y6SIXEfl#A(Vbxo;gb9|A1N%hg#xye_E)kb)S>)-Ce8 zoo9O+0@oWJ?_6$|ic12zwz5uznRec9>3tVV#m+YSnf^ws`DKuM8k1VfCZVU+mJC|# zk&gEVPPBb{pF+2~;VHs!_B-GN3Dl6_GDbcneUj$;`7I)aB$&jj&V_XVTt*xIhamE> zM<3$=EzmJXdOsC2M`2(L+^LPQnqlj+nZaK5nYL;hh*&(eJT$KRWDOSO5( zkZj^~^@=cV14|nTjAr6AeGCqsNc4s_f{SOyc`LQ>=u`RV#)x~9Hb;G$;`dDNP78*! zWDmpwOTIlB+X#LX@YpI)0Q=CZc#rMZzH#%pX$;3D-!D_-Dey{VHUpJ@R-76XO)Yql z7;)L(G9@6JH|yQTcpG@|y@lj7p?Sz@DahWY|GWMB-uqcM4B%2wABD4(4mYc>(~|fc z(bYuKYWF;K`UlKuAZU~(?jxpOVS(VtK-1aQwxUB=xa0IvD(}kB3K$Tt&*_=1)ab_F zaZfk*;nz4Brp?^_p!GLw>BisZP2Kc*Fr^In=WuV-Hs?NT9 zw_aXig?iztjlyg;gLL~^OiIMS%mS?<3l^HXJxBgkHkmaa=J8hPupF;BM~~bRfszb) zeZEJzc${V@@g7wl4pXLaBBAw<)6bo^y|crJ<8cvCeyZy_moU6>{8o`$5zuQ^P1j#< z_cr}KKpP_GLtw5ikI;9Wr~R~hfp`0$?Dda_jdQbXNzjo8O?`7O7pe_Hvo4VOXT5DN zZ{~+uniKrYZw-o@wneA*$-lOH#t*aXP??BH?;dpngOPDwMXIn}4L?NDvwU`54kbh` z6Xi_QHd6*#-L%m_2`I8PD+7&5}jNJvP$Mc$-0P;##8uFBlF^-qOl*Xh`o9J14orR*ZuAi!F)E6ABev!+mrO0&F z%}>li$R-In{2ggqM~&{iiqtQnEGyAn{4FnH8@SDX!YVc`7JpU$B&i*;Q;PB}u50s$ zc5fJoM1pC1d8Sqy9@h~EQnbi+4W_EI6ob{q+3|Y5D4J*ZUcqnCJqzd*n|oUw480Lj zRbq|?|3j;6VuViWE39f9?rIv+oSxA5>xD*;mBySn|6JwZ(-)M{khWz%hy?$S` zzMp?ChciJJ*IZ*FgzB%o`nx6A(bNAF{ucM)-gzYgfn8G{!(ot*#r9z*!P`i9{^Iq< zRt4C@UpIKCs=O@=BG?{@!i$C%iMH|4jj}ZsBoKYf?cinCFZ7e^a!4+S{SWk4ST>4z z#88qn1DQ!tPKE^PIvAaY()8xbx~>BnN(4RjEvqN*6eiJnTZRhnl;M|JbC+clxBk~Z z9HJsE)vbbU|B1|Yb?LWK#Hz)Xou=>LCD*%CvX?1YJrfLjBJw-vxV)aELVp#I6ETY% z$61l>6GrBrmHZ2|XfeMJ6!J`k)?xTF{pE~^o}bhLhwLuWM7;*ibs%lzqUloS&8}cl zqz@1C!=w8yAOv&tsWFlz|F=cVT(!w_nMG7~-{-ZhBN&w%b@%h;lpDv6Ht64hS-6Im z@kE_f0|%)Uw9OIebosJT`W3vWmCDOk!As*eyGwpE)Bo(iKd5+R5t z4y?;X)~B78RkukdK}~fpH(u;kvV1V)9_)qczw2oT;4DvLT z-{evT9q8d{2UZv+D{KyVmwOs=Llw?fx8k}dsyeRu^yVk>e_~Y$2BDvi?N44z*!^w^ zAflJYg%|KmIChTt&o_F>I-=A5W zc{w7dVCKOkuYWOrVM z^t;`h_Sq8;_0KrhBP7Gt&hm>hcAzby>XKhI5lQRj0Y;f9IG7pfd#Doz4Pf^o$yCWzh^+zz6YT7`v$N9#tCAku^50Kg;BzrD3f167u|1erIi?V^(V#nM(bbPnN6{DXwP z6CyVlj4W+@ZRvzaPyB9kNg7QWJHfW)RH(I>%)hA#TVNBlfGm?1zn`PuzW58-=TP*R zsqxhv)HiIMiU_Q{y>A$K{>iKLZB&Hn$HxWZUX}GZHD35*B4zh8BDP=xWxZwX zy&&ULRSG?9Hgk^h1(7XPhiGPu>NeyBPH^n4dP=<=B!g|QB*mbzsPgNI$q!}*L@dHt zm2cxqAR~(VqNmAs%$bGjwAJOEGQ;;Z!`S!PQMTFkz>M*qxWOG5{SFbysceh z6I+|~mn5^4L=;>Oxr4%)u>aG2BT}L}`OHu5Ni)wnX><_2H-3GmKeA33oRXJ^4tQ47 zXPH<++${g3#k%hj6q!3nbJ?^BOzcik#;6u?^$~TG{^lMs)cVsTzFSL4E+b{H3~BO? zB)kSl<>ZmP1u%RRU42t+tkB=Spy*bIJ@&Yy%4@@YTb^*4EjpMmQ=d}u>%t)fu)(jK-nmW7+G*yy^}#sJ=M8HS$}cLR_j_oQ0q$jI@6n@ z^OdjUqRrnVyA~;E!+nC_M5}peqIKarNbdLYpkB?u85z;s#v56S5UTG7b`03nm+Dxd zKO{kl^oS!__YSq~HMp>+nIcNZ2(u+h#nINQ(6@qo47t_@@rph96)c5-f7FKv3zgm9s$pz&;g!mDlU4hW{!)khXpZxmr_}v|x?u?y zBelII#^Fe|{^4>V!b{w)2PO2?wZ3vkA9alxA}&2}slYV%$l z+322k6L^4b!QG4rzoF6j?{9Vao?uy{AqOt_pHOz|P55v|P;Y-U~K{m%0(E zJzB$?%=~B^J@x4I1&~c92b_NvZJmb~6$qZz+UEL~m z&@dy*%a)VIIP;5tNr`i~1kNU%of^LAfFow8w~zc4=nux1vlp!;8UpZ8!EfyQFrY!^ z#gA}bBweK3;Dn>M;55{^ufXQ7l;jU+GMvftgx~gWAy*Vu#gR#0f$W@bN{|b^(pC{> z#^mqfPbnv~N7}SBs9bv}zU}iV286*~<86)RVqjGnb-nc?__i` z<&BK1H>wZGH>vS+8j2n;2i3TeT?t|Q<_D_i7@p3RYUDx{q}ltcrmw&Th#*R#ib@q7 z8~hCGquKIRC>8VQSD?2_44ic}8h_QUy3?(0=Np+F?5nL5@MO(bpm{|b22s-t{0td^ zga}EbI0tOdWIIp*Y)n}p6qwBq=7@!@Y%RFo_H&)cPxgdggCCAQR2T3wTG{9Q?vr9q zwr)bTx2Db`{1y@qvmmh&xo~*~=Cf?uPXs${#KO8E)WrtarDQ9@w{JNs&tJ;e5N52d z)c%yhSwr0Ds4!+=z4Y2}zaby#ilhS!Udse#!_2Wek`*B-wEf?-0spT*!^Sb@dRgw? zgR{n$C$(&bpV5zb68;P_LMfbnRdQMNKj!G_z4)$Z+6b4ySvR_!Z7UJueB0m6szI0m zaT$+f+vmSVz(K5Nx=T92Fqormrm`{2D~|N z&y%ailS2L?OR=R7x}umUqB}35LjXamEyGjvjV5=+($VkggIT6|Dw^8DRf}Ho#zR=9 zEtV~hCuO^swz59{1dKLSzAh%jWANHi_{hqlit)wO5k}BkZUQ9=s<8SHiAt9$0L-WznwCGeJYYxLmA$&Vbr9luNpKY3)F_h4z5v3eD z$;B}iQhJT#vwRujtWHCsV4~j=M!T)3$!t=+r-Rq~c@c>0sKm~_l9=^A6inMXr`*6@ z9_Bz%u3W*PVf0dnPvMx-_HIr92hr#uip&PMZ=jez0UAjccs`V&T+RC?L`)`%PyVU& zTU3^NAr@$SAuO4)t|pZ?d3}9f08l_Mt&}`^xPK-uet(M_>3Sw*82OPdRQYm7NZe7H z))jvwEI&Hji(4!*%aiBB2zawG9Y?RJ$(tl!0uIL795VbrSQ|z(rS-u4+Fe5Y zqJON7a^hdsMj79t6iL$hFKfdc9`;fi$G}Z=0p<^;v4@mPGGfFss@&fJ|0BygnhP(<=;RLU!WAO=!AhpCt`b?=aoj8ks($r0uMV$$ zZ1DS&V5sm586DjWXk@Ds|5^EtrFVA9m{YJMrjPwSj$>W%Gap9uu(QQ3BE-(Nuc=IE zGMo?>>F9Pk?nn+erRxUXf?%%Xsyd2c-)IUlqq)asBN zKI<5zd8=ExNrt)1ycgee1?!G{1+({ZTqL&=&J5&I_`O>rrg{6$L92^8)YkZj&nM&a zR@u$!3JCJ8_Wu9K33S>Q%#sO}B%D;S~jIlF)?7{u;|em5MV23G5f zWCAJ&lWa>O>d^-hwR@P5n2ghZAVybo3v=^1Y|=1OL#yjPWGE`ImfQ==S6!l;)}<|8 z$Y49$ugt45z33&wv;&Q0=!j5CN5 zIpzq>ur`0y`X1_`N9@%W#aEZ-4K{8yO{!!8 zH!y46wGSAa&F@zBucx$>LIoHz@~ zax9brcdpeAhu~hx*I4zF%bfAd^U3PEROt~IUR7(8O{=XMnnxHVeaMWIZ-~D0|L%<| zRn_00xOQj#7(AGLyr>(d5p_qJ_PrZgiy>s{D3aUCpTupkww?r>8qwYcRqf#+ z3NIdLmF8a0gaPb7w3v)@K_)Mzv-r!DSQMUpnSNS=@4aZzd!8J3y{-A#c%bIonXer1 z-|dOM8n{j1)LOob?+1!U_lGT-O!!6i6w%s!eT$(FPx?>PziI)M{V6SKvE>$h)s*Pi zI!J@22Pq{oo=42jt1EbMHAU=oOq1~7Pvhq(8>ya0Ow_CVdvjJvG++xe^h!&L-3@_O_rCS}x`)6JFF+=+LZ z)VMWs;;RX77Tkaf-`D2kSvakf@s*Y|1aW}3lQ^M}^gB~>3Qae|CHr-UI?gpUItBZL7lux*E} zll!#k&P!c(+Z62Ocwg+#>?j+dH_WX(%Ot!26!aIyVUGuw%-cR*!=0MgXlwzmXZ-h@ zHEL;LKIdJNk?q8dU@zFf24L!{na|sp9mKLl^fuC^YEI!^HcPaLMWn%5em4ulYbK5`WC(A z>7yE%(kiDU+u?Upip42A-@-~FTdRI1ZCk!)_f=@ePKSoCpwe$y$4G{=A<49C&h@(n zn$Fay(6XSH019rYZFI#->9`o}*&xr}DL-SSX^|5Tweq=Ippesh4J*Wc_y$RvAY9pz zdJpLJK9c2m`sPrDPB3^Av^5qpI%6Pjp8x4Lnq(*Siot=yuThEIwd5|8=fmzr`y&ps zNBg7G%|CwVZIOHSM{95Tj+%=;COp|6rHvTYUw*x=GmCb&{szma$z2`&4D5`51Rk!W zw#1K9h;-Q;<^G_gc6wqcwF0W-ZZljKn~P$b)%Tl=nx5I%Mzg>Ua(_BJZ0`4}9px&* zW|L@MAdU2?hWo0Ha!M=7Ysm}B+hQp$dXH^N$pCQ6R(ltqig3?O?=io2R#p*7ORH?x z-Wr|l_vrT&n4xVNYblYs*02%Kwjqt|KkbhI%NK}VdXI@dU4WMl&Mg361E)R6jp)`R z{S_GZV%A(AY$T{YwIcQs8g0lrYlE{gBPMnV0n*tv7cuE{0y>LWnv0U$=20H%TL7n6 zlZEn*ax4UUm?C0+HrMAxZ5@EB5v7-c_2l)LB=2ZTekf_ z9dXrb|F!8l{GY#On*MbF|KB}e>k{E(FOAvPH{)?f6Qru zJU%s6&H2G1WP7wakn?^Uax=ou?jQ%f?Ee`Jok4k|b(Gs_Mc;!o3T7s2I?6%cy*f4R zW6W#;kPF_*3i#T}{Is`LopF$(Oy}Sv9k>3OZ1%*x^CR6eB%+e=f>ndJHvXp}lKyr5p%z86l0W zsqENo$sny_rC$FU6{@#X6|~$2KD|3B4@z5keQ;y``kK&RVoXQtJ%8lM@o8T{g0GfM z_YIEy#4IVrqJT5b5s2xrMH507N0>f!opR+1aNp?z#Kp*Du`bRyzn>)Z&o+W2ZE9Tk z#WvG{RT6Uc9-dfQ4bJyQo^B13SF7(KyEWt9?d$xA?NaUQqi>pyI|0AIrb-jQp0zwF z(6{^!Z$p_3z|VV$*)#?{Q?d@UNrd|`Ip)qELvp?uJpH;@lE+8Hm;F7#tq~P}%oCSq zN=f#IuQxODlp9{Ff6tyb(du(-1Vsi`On1;Nl34^ZtVG$Si;d$&UapU$eaft9qjIG! zml$!@l<8W(A9eAR5-&CSC_2f zlGao=BjPmTfrC1l``m_j0oBP{)ztv7bHDq!DTOGfE=ytbDqc;g(Tr(toQa1-qrriR zo8~!;k=_0&pHw`~Q;rTzPQR)GwsFZ%@ziS~$<0Nz^peWh*g47t#^73AsLsxyJy)?_ zWRX?K7(4CJ6>7~Oac0r2={I%(N$}Fw(F3_$e1L}ovU~ap$SF@=ZPL$UiIUu)x**0W z){L)4ITd&|sFMWJcXk7?*K0Q15hqO`@3^;%qA9sKCyE|Uf;g^CI1eqy?8w*Lz3I@t zlXDv{{);&JzSs`1q{6(U3dkj)U$l_dX|wOaB=}xC7UxG)+BI?xc_eW)%}YViEMWk* zQbP9Cq1R8Aybz-exkj}nu|zot4o0%XbXQa|j2j@Rb&NKVyzP&To;0^$Gnt{= z^5K)-+Sm5}v;3>uuz%-W34a!1p`d79@Ut7&;=BM>bXb z&mF?m3l=7aOcBLAMpc5q;0|4ukGodrCc}C4wsq)`K-Ops3Gf)Neb2*_g6r13vP)Zag- z@tc;RHZECOm#`BoMWv2pUpK0sh}f4|4T6)3Ou`b20tjSL&tN_LI@MPvZoSKhU#i&% z07P}_K!0uK7O9-*dM|>w)IKqwCgK9jD6=x+<%=Ttnqpjnj!yLxP^-F|xR%_&Au)2w z%j&Cy0TT>6E&b%~yX!jm4sBK-sQoN2d~d0vtVB_E0YkQZJtI-L^Muleu^t|5Lz|l{P4(laA6Lh#*(R z!cf_a6vmm$8Oh#o%VfuJXq`#;&>-@`unym8T&chZqsU=x$d5Obd2dv|@oLMB@0-Mt za69BkhHTo?9~Pr!<4!~%6EzBet&k>`M;>*YFeuGYbmpp4Y5sDM%*2@v8uHWJ(U4k= zX&K;~gkn)rOC$Vf;){;(8BMV%`K|U;PFZkaP>xLE7~ZMyDT_8>&f|VD4%1JIzPx}G7;yyoH(4@I-Y~Moc*Eet;$zU zsH=xb0vAv2sP#DHhNSD+>7U8zkk-_fvw@mGwEWExi=kKmjCN{^S-@6{X=t@puCn$6 zrG;Vx)j(Iw<^%YCuK*g>{Stjs1MgriRQqeSj_0`x8%7>H||C z$FkRDW8s1qMcdmb!C1!7Oo1+m9chmrEmv|A8%7thCzcf}n2r{pM}ENee8feEQk7NV zKBmI~P;OPx8hS%ui_6#N}MvDssdA5}o0rEB1r7b(Y$_5b3uN-~K0S{#tVQ zK*r556Y{}!#Ud}uZEPS$%iGv0V%WA?ITUSVlov75#oI>-yy5Wc#>LM*+8XDS^D8&- z+6ZeNyBD_o+|K?$9boj5)ko_G7h#VT?3CbVSZHbCH#TL;0tvq))@H8naW6R7pxQc&hOAD@tf6o_pUKar{@P(oc_bW!*oA#5JBLT6qIl6= zgfL(H7j8I>p+C#sK0g$$OQwZ}aevI?DdN-rs>XZ-cE{8pZM#1m3pvAG`YTFRa+~v0 zSqs`-HutT`2~gv1Yp61U6p*s5B`&)|pV=9Q>>w*CuOi&rNNy`7+?d;qYx6Vek2iik zs^|G*;=t;j`kzj)1!WwM(s+kvN~;q@PqnFOx82S&6#Z;rY}K@#g@pye-{<_FfSo*- z*lLcspq)??bjau!8RFbfR|pq$&7TBnKZpdihwt%dm11b>$P}+-w6tt5$V7wM?`uF< zt}FuD?V9@>>(<<>o0rar1DTu)ziyti-&evRzS!o7aw$w zB%yxdzh*`Nk1I`wPwQwH!b z1s~l?xD0F8pnzuMcArBJ$Y{vfChQSqLlZn(hl}2mep)WBY(cdIK2zw7{J>(Dq7{lx zQM(q0ZrRQyEg{)H>fzb4=`cPf2x+gcH)-c2v-~Fro}s5#ZH5hN?Er{z``DQ1SA>~? zs^v4xxg`fqwj~EV)W4pV?d_2TNb>SS$@kP@zt_|o#C^nDHE$>Pi#)A%?HuqJB355! zbG(@F@B$OLLs)<$Py&+ZQK(Crg%g#YmxqRleuINf+cV7&{9|2^v zq7TV)`D|t){uEpd10765XC8mmB`ll{tw_*4@#Y2tZa0*Vc;Z@kOqnrB+NcY5TI2yA z5PCcue;Op}d~WaH)4%w78lz7PEiy+uKX}TpYwqFoJhpJCTPsRJf@W30Xb$%|w1+ynVGy0U`2h*~{$C^5W zG+4;Y+7bLhPuGWUF`XXX&R`byLf1 zl;~M-Kk9PB-?`$$AVvo@zxGJyw`}*kW&6RpTwRJu1hdDMp9RuR)+R?~+5R!~tZ{JB z?%r?IpuvE{jr4EaTse8&xZ-x*I{L+G&DtNa6W=;PzG%TFX8dUcY+Cw4z6=L980cLb z7IyxJF!297#J*v_(f{56GHK^mHfY6&T7pfh!sHZJRKmRzJI_S5&+X$KKRhJY zBSjB9t*?7eoJ)+JF7r92qhG() zqW!>&f83yUEyJ70Toaa6U;#64m*ba%w3D>S!4%wwzygL2!@?e+T?*FPgvas}Ie1n6 zje$a;6Q8CDwRVGnJ1mnSLOaVmRV;!}uV4{FfbhF)*)3|sD(k}#3)5JY);i>&r3t%_ zAv^!c=2@+Q;i4_%OY;CsZyGNuF7Ih=SJA@P|1TK~oYGgbe0Hi2`}qHt!VaoTSv$rh zH&XI@MzodCdJNLr8ygB+Bas|1@PYRWxF2gS1NQ$;r*ZQ@<0*Y^RODN{KoLBq#JH4H z^abF(z~_=y^z<)aH5fS1#`os80@{JFDgDV+OWgA{Ov5_t82}P>b!=V@*uTnyTC~lCyzCT&3AE_i+!p+owFOVX-Q#N}INJ zc&eZAR)UtFZ*_zP7u397ork~@2SbXt zu0=4)1?+|eq4-=RCH54d>qM1vIZ?`Koy| z{-TvrChi#N)%e5s?j7=%MPjoDRkD0#CxIqB4BeFAfTr-fGmcMi0^%5k>0+74E+i3B z7`(eQNJ3PsUkIz-AsNupr6iCBP}cZig9Ci~eLMOEC%lOG#gm+#GIm578TZz%Qo==| zUH#A>ru}Pp4ostNc@Ff3y9E7yF;+ym{{GPC8jxnukc_><`D1VRXeIH_)CQA z@9UK^$+pfI*J>Im)=@1d9au|x?C57-i>-WnolIAZdEIU1iC^wHta@EF-Yip%^d&q8 zM8R2_F3c@x0n9s@U-Z--_co4MCR%*~)dNQAa_DY;>e&7hI5|?U-MZ*Vv#AiWa^ffb zCyeO*-uh3}pjRXE2{Y=W;QUbn!~3;G9hdf?>FSmJshy5=*9C~_>B*EL@s*eXrhXB6 z%EB}hvG`BG*rC^Ub?MdcSt$sAvXS|;n12X<4SJs2-;i^Ed#Im~^C*q+U(2{^B)*NA zB#{G|MffboBiY<*0B$kvp^uyvd=^m+%76dW$bddf{YtI|Bl1bN5gw8q>B5>BympIm z15CBXS9@zKfVrK#a$S*T2bZfv4pMf0D-o|R`cH6mTl-Y_Pc*yHO|>p)f^#5AD@r!G zu7Iqk2Rtd5S6&B_x!1j&-6RPk@BP$9r;Z5I32ge>k#ezOVRV*-LDxK5A?+6XfykiMwpDY3q16w*+s=yGKE zuwAp1|73($1*N|AmRQl#*~sNTTd4W#LjxHYOcyJ&c(6-x^q43>WAHuxJNGf|j62>53GEE{ zc4R8d?M3$YQi7{k;jjv=3CGi6F?h@L-KjF}Vm-33i_S+4me(qZ!RbwU#-FP1{uUV^ zO5BD*j`p$NmM-);h3|IhTE2FsQnHnOvO6(xVb1{*eVIHHlKOtUX(_c%FC~Srdx19A z@$uET%xuOu^+n)`i|phBz3<$Irh@@+p=m!;yrj90gim+ptl6L_6uy=CfL7PY)vrX+r7gF2{!^|CZ;js95` zd*5oLb~=4|S7OOU*FRWSB2SuIKiUcfKy8WkD@}FAZ(Fimk}9=x^Ci-MS6da1o1m&xSLRpzne(}pR$Vi45UUn3G^5q4@}0!gfT zPlBNnq)%gh@ehP$WI2+_nx;lwS;7-QoKj&d4h2xE$onUj-!W9UD|jf}gx z6~U3=No!$glJIy(YTAG$0D$~KoQ7SepoKf_Aw;1WU0+7iA|NDD^fGG z7qPEFPs4NI&}D21!7TEf)XXpihh$F#(lJA5Hz*B_Hu|p30|*xTK@em-L@{jBjLSio zU{l1&dEzvE!%wKT^9||LKTQ3kH*c<wt5W{Qq?0enhbyTF{Rnl%z=$1-hx> zV<Hd#$6T4;c__B3s!3WP^O-F9-Y2@niV{agv;E6mHDt4t7(ib4_i$cr zQUbGXYFcc}UG^P+sNKjKMKnj9N8>q+;gbE!aG9bxfjt_P0NoQ9m!Ekz8z`z?LxHp1 zla+4o0UAjDJX?Y;(9Yjz>N6wzQeBN%(8=5nGXVq!Whcp7X!S0B8 zg|vNS`esGEftYy&2T&TFv|H-Yv~tcXl58u?>Q%I)w;Rng^ebp zP~sE>PGyr=n7FV`qgeUH5f~dtmXV6g4ERc$v7XIKOo@qCV5{z%4OBp3y-%ZFYaJHscE>w5)PvL^hz*}k(@Zqs_W#Av>Ns1xwQM!k1AHhd-lk)lK zRuR^$yEh<|jN4A^j_a+5x9H_y9Rz4_5MAwyUDYf0=Sbv_rr{}E&zGM%YjSKrS8Pxw zb@wH?mPw$4i$<4#@Tg{UL+Rrji9H3Uk1|!t@ekTvp%gN|qo$sS;PFt5uH8MFLPSwDn#jV?uT3@G8qtHWYw({+%wr zC{BBzb#mx%tCdNAmS65^ou`FfCzrtP2bX8ZZuG|MfiER1yvExk%O;a}N1!T#bbEq!k7pIRSJ zE;!}}2kF&`4QYlmZ6crmqd17m<0F3o@uP|J->1(cF1t1Uu=6;|E0y5A0M~|>G^Kb@ z5J>`@Y1R2Jy7eGxUSS;IACLVpd}40+rqXF4DW8UT8J1MeNA#^m7BYdPfnp*B1_p+d zI@+}b0|70_XdZ61qH~+fqt;yb_*=!1Mf~jh~`g%w1voAC=qG?7ExA++G+a}zaeg^g%yJ`cy8>O za}AzHXcq8whcoMyA-H&!W!12aZ@lT?)PtK-=#!W2#fxm}2*>6U6FAu`voigW+R~0S z?4c3i7VFb^hwL(FU4M!xqXV(B*S`Ba-)qL@zG40p^#^yGR*@ZmRCGCAM47vK%h{}l zISYswshGc(z5#D+owa*8j;n9x7JqSB6~l9xQ?PHNy&NPWpCIfY`tUF?XMhkK`<=_3 ztL0~f9!79Mds)fj1K7NQi?U`Sn^!+eFlSgZOR%9_smk0XjiwyErUic5Xy95JF!@%=_nZl*2tr4T$MbBYBoRWjK-v_H@{WYk^6HJX!&}&4&&7R{n^EG=xE8VInv2Lk%VU- zK@V+?Zc{WQe#}b~HS~y~8FLd2Gjr(*Kif4&`MFz^rZs{-nSp*5PlQ=AF3!An(R1Pz zvlf)gTA&8Tiaf&*zmE$t1G?k9_Q}2hZ z^|n;CU18+Wk^qD%Y}`b*#y?YCR3k9Em4ay%v}xFp2uysrK_B3mV^{ZC zy(tNM=m~;#@7(?p&HtNX<0{rXkn&3v7W>#|nenUTw3X?Qp|o{VuHP$FAX$YaiK^ss z(&69!p}3X2pd!O~6SW8_2+)2vpUcoD2r=2R@N0VDQmEklc&P|{8 zU1W-|dfFPD$nDDcgfSTMrY;vC27E@bbpTUq&nClaN$hpx>$sGslJ(T&11oL{=9NL0 z8Q#qHI(9l%4C!=<1_T9t#P%57N_mwy@!lK*ElYwT20eo9n%wt*2eEYZg7 z%+Z_U;E#0Sk=_@i9#G~f)4 zR%RSWr@5cMw0xPS`vWxH922vu7Hk>=np&_0atR8kGBtPM(a*T6mM-Hpf#NBR`Co!K zb-knLbEYHcYX1ou5=fE-zh!#W$(DUfA65fn7vLH2-aA3z`KCUSl3N?D2`LM<$+3`q zQ-`$miKxH^13&v_p>$@mTpDa9c&)8;TR3Xbe)I|Ky*yy@1FaNL3|o9(7;}&#Ek{K+ zb6Zi@083*hFFHJ~hp@^(c7d$w8(TGQPcdHtpbM=<;D7sSQfXT_>GYc6?DX4Q#{TR* z4$YKELeuMn2?<-r9(z;hK6FHsw(+26c^vajR`Mh>UA$zS55qsUU-jMiTa?eK8Z zUJr3hH401&53uSXTAo5EyMm-7?Eth~7jNnIskq>y5gZdWv2cvGcf;zZ`|VWYNaB*e zbi8Nfa`LZHUslowzdtRJ5i0I?TUIj8EwHLE)`Jg<~{M}eBb7v5HCR47>1AY0Vt#P04_Ttj6RWeE#m}4 zstLu8m15pv)`DMj;GPyKUuW{oMWV5^w@)@^T#3KUbN)2}rf93ka9;Pyw00dN5SS=E zPkR-0ft`mibO+yS=F07mdcLlY2RqMZ^=2z0@^0=Ao&F%+vp&RIbjj7c@{d19ZgeG@8?%Pv9sP4lh5g@e`mxl_#%FKYM@ABP_C zDE|HTK+9j5V50mK3|+;Yy6=DZg2I!Tw9NakdQ2*VBW%wS>IiM}1`dD=uqp;jtZfjY zlxZ+7eAeh6YV?gWc+wOjm}q?^l8Z$?@6fE+idFjQ`=Z{rLqw>?3pMCXN*K=hp~)LA zQ1kddC(@{qQtI`^!fNRBGYRFw3cl0oFSfFPA6KXUCblk)Eqf-!M$+o`HH z6J^>c)((zHTY(R=5Nm=^mjegmpi%dBFFi>Kb)j&p4oQ@RaCDS}QKqkIPcpD#;yWy< zOu&+gwKgoN%)FPP@h2B101E(S#rY%4g&Xg%*<=v(-XmKZqa!aFM#JU?`;ntC~Xh`b~=k7>q*yx1x^nZ zxaNO>bC}+=b*LM29tTL3l&|LRQME|op*m0l(`_B$djQ^8H7!VIIxRMAtphRBEd#8S zJpfRHheI8SM3x>IO56{?pa|}2K7s25K>Jsa@i+ihLb7U7*HP&optq`P2yFR*ql*z7 z*jZNM5@`;G6=o5dzFXfWJhnS`j&%K3^Fp*503Z(3t3@((LT5YN-GUWnHDkNlwmfyQ zDYpLezZ(GazxiT$=;w*OL){KtvsFlStEArXq}35uy3Y@QX7|KDd3O=7C(|m18OO#2U7_PE5^zxk3Yk<1`poDEIdP zka7h(_qU)5JNL(7{`cHpN~h5+B=Fw1jajLYkTfkk z#-s1&N4%DyzVJiWHx}PzbD5O?czL zBO}^4ZLTAH98r*+fMIJ*xtpaTk0g+K(l93?jXwro?cX3Z&19c+@!meUKpd^DOia*^ z48@>;ChAL^mzfP<1-vVxrhaTArU5)u0xH@h8edvu4}~VbO5xhG&kg zrV)#=Dyl2PG;BB1>Zu~c737m0Pt2^uPzm+^A3a=kR21#^my}c*TuMOcMPfmak`#~- zkPwzeIu;Q@YG@V^49W#*DQTrcK)OS^LrQYVMHcoqzVG+_{c+Ek^PHXMoH@_VoqO*m z#!fM>6U?@$lq0y~#xn6DyB(v0n3APW&#P~<;iFH(k)7PJ{ja`#*9fadj;jg4-<81y zGR4S=82^Z(_=hG>OV+ac%Wo=h6R^Oi6y zXiGgBA7#hfD~7G{+MpbF*~?XNNT=j>8^^ME3ieMXP{fgt^%Rla#ulN+97R@87|BsM zwHF?J_65m=^sHXAKs4g96k4(_?vS)f;~NamWbe3M^X_48$J<2AK*Fv4Yk00fD4U2_ zQd5Z#E^dSfRi%?JRG!E|fuUZfgZx*4i_5=yU3y+mIhuu~mM{e7k){xz6rV+YU$7s3 z{M6wXn9bRAzRw#53gt_->{~ib#{WZ7pF%m|{H!fRl~3qQns;sa=W4{5>mOVG8)OGg zo7&ET@-6|TYrpaft{()Ypa$2PSI-md{Wi zjYK%LA95hf_na6Ms(I_K3;kGV;bfsNi=*1fSo87@V}C?N9-b2^E|j6UC634#b+(K# z0z1^aN@DrSuT(V)uZz!4rbyvF4bxXxaON(foaTc52O{=)U62422NI)x{XjCVe51F% z^o}xWBVQS(+-l#hOG8bX;HUl*dO=3!&L%c#2w8U!@OEr+&T4j&ubF#v-^q>|(YvnO z`Ks5KD`HytQOQJj$vtWvp<3sqx}R=a$;l&w8i%SLX4xDx~xLA>S7>b2lJG&N`9y<=B_>E z7+dDJewoyeha#8ENBMvDPU(5%n~ze=8PUudamX8XfayEHQutty0Xj&m9a*fZSh#8q zO0S%@?5F=)7)b8Y>z-b95_NtUD|Fa{H3p#<;Dg=aZ<1hbv5ZvIVIO_@(cgGX+W0Fu zp6o0}$^BdX)u5yLrdp(+BFE2gH{8WgO9|8P7dP4H| zP{K$84%Seuxn0H}dQzSSH^!gsAtLe-`2wr`onwrXnb4ON-HtH*AL7!%_3bxFYtv16 z3TRrVwPr~$wr$8s)3HUGJ@D9&!Fp=}%(&XmUjB%kz{Ee6g??K}_=}SV>$BClbdDl= zeT=;tfcORABC+}C^O>gkyp_%OHj6E^Y=feY^eC7=mDdXi@hv#By@`YGg;!&qQpe># zdq}H3(^a{Ab)MbgLa72g zUPWV>uE2sJRjF@G{9`#wt5uq@ zcfZEMO~Qv6?!}X3mLOjjBdwUzuF5%k_aCVLn5L#D`l`7&ly-c4&$m8loagD8gmb>t zgI_)nRk3-qGQIfAhBus!6Q@6gWt*0Pv!BA*THy7ZwlrlMdKdPlB^g4V1WPg}<1A+x zl{e3^qDYWqDL~fM2JrHcJm*zuXZA9eqU2I&@Rh4%g>LxRzxkTysx>%s#uCEFGSpq# zmU=7wDm_F@=*5j=wBjsu$FGur?TrV=q@6ZCjK-H-a`1;>(5m2@YlCV9Cf5M}*#2i1 zqeZP5Gv@)3evJSz&CeZwcYH!@#DxQB?|@|R5fI0RYPTDICa$~MF$29Uesw+hOgs|4 z`_hKdf0sU=;d9kItBOT~0tZ%4^n$CW#Gp3j`yCq-E>60S8H`&f6ua1QZDws$ zRNqRP^t7>Z7S`%FWo&ejng(#heP~9yxLrp)eXp7~Ej=n`!X^?H`{uTW!q!Wc+!q^x zzF^%=s#TO%v?m;~5S2&&6R;s}r!^?;`tet#NzMZF|EOtbIlW~|>XM;Ax76X3)jG?q zUGiT&Jai9HaA1kX=8qWFU!VRB%Hsdp5%_0N#zlyuX?cM4n;vd47KQEDELJNrVu}>! zJB_n0Yb;)fw8~_C7*g>O^Jmq(2UA~c;~Kz+3xr$`z;|8=!2g*fU`PAN+?3Af&n(lU zcDT%WC?|-R+tFff8e?8DPJNex2JfcE<2Qb6fnbHHpHl)LKW951Vt#pWw!zp$$LL&!1T1Db-7_zG8cV(ac*Yq!F3bO-(3cSlUtQnzjA-uj09h!t1O3sfDM1~TZH}~$ z-R`q9u@m%5?cqyG{*BUW=ALlkMK||vu7S;_N4r!r~Kf#*GUQ_bGt9U<8Oo-p&;H%cAp?}T~+Y;k3 zr&-K|Q8RPo5;T0HVExu?WaAz8)prK3z_uAZl8MSQumSL6^t7j>t2~>S8(HGNZtJ;G zk*?tf?)Uce>NuNx#!n~%Q1yE~Ub}?1%euByS@W)qbK_O==^jGCFBSE8#0 z;?S-o6^2LNs`C;YYQhTB%PjU&(0MjZXtpEm1 z$S!+dRUp4_BwVZg#YwvqG|Asw+xoHToOq#blemaRtmVPcn^6X4S5XbqFwI!%gz8Or zEh*iKyfPVj!?l~pI||5fdA!ox@1ce5qR@+KcKED{ef{m#%8>YjeK&jstlv>F63DW8 zh_ax;vF1?Yp2-0rm?OL0c0l~r12lWQl_Iw5Ax(QT{ZR>AA5dA5N(j+guF(>!OhIrXs{>djaABs?Z_yMk&)` z6MY3{Z$9lM;rxgLud^P9@evLj`QR)xv&4ZX2RKuGwa_Blk6Kw>zWg`~iCNhz+|L*x z46e=}g4-}y4Y`g55<-t~DJ*e*^J_S1_yNvtJp~tkG$(`_m-z zM0}fUAKXC9dQyzxhSy|USvY}6PR-?!Lt9Oq+76z{IlfTU1*jLFpiwMe zAOI(nr`KXm{3+@Df=mVKiH+*~i?VM2xPLMx+X9X#_wYJ3Gh{n20pZy#n>ogR4LNr3 zrm(mCu1NrJ(m@`9{OtQ|I!5cB?5v=O-MT_*^Kl1SWRI5I7W66E9%!{8xArXmXzH9f z#WI&-3V}cGb#Vh3A@{F?|BD(a%$5pcDuL>|!~wiA2&2pt%bOSF0}8?z{O5-Q0}7!> z0}A(Z+;60t04R!+yKd}TkLTou>E}8mGbRjViH>SJ#>9jZnI5oxTr(`l7kn?OaZ|al zgw6Hk>S5>4+oY^Mb4-#A;mP~e4L2%=gMJQb4U21N*y=bLTkwmcc=I}zUvQRhzgUUk zOGg{_M#VVSK~P0UBdV#kQf39WXjL418reVOj2%cMI{}T^3h{U9zBth7XijNRX0KI8 zC~<+uw$4oObn>>&7gn^ImkkwVX~oNa51aDd4NC&6!RKW}6d>r>#PEW&YR0Cl%KlT_ zuR8nN-W1p0&xs&IJX!}>l_D2sM2bC|s%#_$`Dfx3-lSIBP;r&)GKHzmGVl%*Au(}T z$?o56mH;RRVIOOoC%J!DxyknA!|yh=H8akL*z+^Uiy40-omr9M)ZK-+<#NKgX_2|^ z(}}oXgUhU{NCbHAQT{#?2D>FqEVOAFqR-yL8u|$y&?TG{JslTZQ$;1{O)&&LU~O}9 zD+%`RLb$s*B4Xu^>Q0RR-E<;ud4n+x*k>|6Phbr#fH2N2im>#ydQ(U|+TNZ|&88H> zxQlrPL@%sb+ny4zb(=|v1v)YYP4oS^i(o%?wv<*WyH=(>LM~ZR8OFpU{>u zgPNE{(IDCO96T$XZ8&Efse8DiTe_LK!=eYBJ{JAnJwLV|?W_odBvi*mXQ4WQk-$_B zmwfUr#y@I(m@KKzk-&_H+Tp6*B2UYWvvl=Z2r~Y^08_JZHX; zo=Dp#oSQ}`Z%?#i)2iMAF6{z{gh395uSac0L)F)#Z<&UWousDZCJHCB`hYK_{ZK8 z=WbN&hPrI}-WshjiJhrS7@Y`7%uA8rD6N^5YSm?0pR}P?)!SWsz5~m^Dp59Vi7#cD z+&dj~m$@_)-$wpEL-4+{F3)76CA@rLMYj5OwGa8*M&fAb0`zTh>v)MtQP$K3*gw?x zfUjCz$F^M92Nue-z2dxok%l^sRj0h3G1i#?Tjn#42|dNcczJG-3(hDBwHN!F>dmbB*sQ>Lj`;fy!a= zkKc+u$(w8XGQVUUKiv;^7gahYrRJ5E86CBmM~6xh^h*G!$Ck6ULcyyi=6H=Ww!L4L zXpUr^5$a8u3lmW}`jCRg6T7$#1%sj|RghdXug-7rh7 zr|hOw%3gp-(d0vgr|ttzl%+I-hDxooV9%uN1zK1|IYlmld!_Ay+y2k62+PpAK7@gW z3}m2932EQ3Gsgvd#xihlPcB6T6n?y7Xq_=3nSi0e!h@F4(;4Ieq9^7?m-y|iJ-5Na zgZ6LX!7X~sC)$yJxXr*&<(g9|20W<1I&-!XO)A}izSBgrRzzc; zgg_N<@${e#dC0Dy>Nv;|9xTz#Z8ezq;k#au-uo&Etf_WEbb=hXKSWkg$80FYVSI58 z`qN}sfQ{!9%(-cfMrhGh%1OVC?D!BUzD>`-ff+p`ba3q_3+!)3M-1n%q*hRGq)UX0 zJd5vKo!D5cuOVY3m4BBox~c(l)LC5BI6mI@`@?1wvT6z^jdS<7EBU=6aS6i!F8IMo zIUGFh*5(3iMv4xVwKR%39f?#BXld9mxE!V$Bfvof{>JJHcmqVXlyGuWm$UvK<%Sdb z-1zNZh{DT>z;5PQmT>8?P+v@$ei(>fto>W`kLnO)V9XjRAj_bk^`R9y9?_W77IP?pS0?-hn zrD(yS7EYgV1Hln_strR!JfqhoZEyGB59dw%6JvvwP70Mf5_DjriR(EAr1ziRgn%Rr zkVDbr_Nd>qh8`}uw`6%h&e0NVr>LN&`*w*MX7A$GU_m+cn5{8qyods{b38bC(oW(o z5v`VH;2``d8Y6)x|BbU%V)@w#aJI|kj-_|!JhwnkXsP9B*A~Yd;Y))CImd!dKSQuO z6;ORKlUMjV%QC)pm76NRGt8UORso#fsj97Ld!(7lC~!>O9ti~ww)$x0q~T2ZDdjSU zVW%eu9uucAWQQWzZw6?AhQ9by6V#_+L?$!y;u1bPXKYWK%jL(9zBo#N=ZU%e{>X#7 zbl!nSXd3-VOCAK%)Al=>nrM1eLK4Dtvg)ts0uqVukruU~IovKvt2YjE2o!$zdr-Xh z+x?a1^Jn`|m)1r&(rVrGej7sBO9Ge*0$8~neT?< z|Daa!f^GL+o7pUqzO7m&7B*jxv-z;-UUKYesot;SmfvJs&7gF5uQps`X_(!1Z0chO(}YKj+)n&=%&;?pPJZvW60kfLv# z+u3erynXHJPamKzDT3>3Ha+UYT{K^vHD3}i$}HjzSKV=k@>hpv0ElSejxunEWw^_( z#jDdH;5-@l)AhC)i;+K;$0g&UaaWVTpPEJWdE6oHa@PWf)&VbYM>rqcTJz=Z;?<=5 p0+)05UNTOx!AI>X1GwA=a2dD@cHHT`{bsC%2aQddB$Dvj{{ehrq4WR% delta 23413 zcmb6AWmFwO*ENa~+}+(>g9LYX2_D>CgG1vkL4$jc;IMrT!XQcjuLMu$3(QDWzs{!}<{VusdPf{41vv>v{|v(WQM7fAe~i z-Y=l9x$DXtj{H2oYa^NNap#)Y-=uzM`E4yPLK&xVgI5O|mY`(xU)v|#cdHfqpliRkwD)2{;1Vxohw@Ib}`}xzda{MGsCZhGgGnoMQ zwK8k=WRFWPCiW=nfx0+Z`OuU*b%#K*8a-pGhS5<$hA_HQ(FOWnc`iFLA|4YLxCR5l zV&x0TFFAre5*OG9$`ZaFUvsqtmev&S4;WkIkV-RE!clNo+dkxNF5SfRvLRI4k^xbK z(-;g@R2{4!wEQ25Knvvzvbpp%??EMDRy&dP@`Qh+NRevVBLyWoSC~2i+h426U62{i ziqInqZQCQ^(=qQtoZ)0Nh`cj>sLgUZm@XYxi+Sfa?j{c^Xb)Ze6Dq~GVDliv{`<>L z+1<=Mrz`q3X)6j0i62OpFg!s;RDl2C$Ind^wtSa}n|Hzkqn*s#T7)e>IqYwmi2wTF zwM-5-`ph`8#u{4h>wtgQxnw0En0>X)N{A@VSZl=t&WB=-ayl)qu-J;9UW|w;Rdne% zRO8g~4GjW5#Z`xyCt2`pun2&a+ml;h@UWJwMp~{kjOa!&f2!*uKfkaKuK*{{eoeUh zl%p$#4CWh^U7Ce>?6+^c!Gh468yg6zs&mjcxhNX3H;KvO^KE$DadY|MO*zGc`xqab z0#+|q2hQD>Eul}Gm*owBO(fiXUBg84<8^9=4G%_q92jw-GZG1ww;?py%mUrxLz*Ql zPTuVi{rzW4w!h<4LyZaGXkfJZChJZUhZ?4#pL1Y}*yKq+D%L#0B$4#g_T2WToD&%R z)$I>o!??q5TM<@1`>LCCy7rhZmGKTicwU6N)eJZL)7-sQJ=2QjM{4tWn}+Tey0$7B z`eI-8<0sk3iBzP07!Z-EDcV+tdx$uucl~{v}u|T>7iz<%7Q=Q&4 zIqT4qFlAq(z7uEm!=dATE7EX&`Qd z7Am`?a72F;=Gl)M3xGg$omLk+eZ&#nx$sU-Er&6aQ!Vf(cXre_$=E2uI;3^}V8L~@ zw0M>zF&($UY*xJ>sp0E86V3RCu?-7;^FBVV{vAHT=s%!OFhnG<=gCnzA8E!BB1J3% zi++7#Lj6Qm%(RcGV&S4q8#~;W}$$Jw?HPxKhgS~uwR5fY^~$&u28 zT`O7Q!8@4h8XFhJDRU#;k+3*o%={)RWQqdEyG~e4=>(s06_F%9=ixL|#T&VquJVt?k169XVcosV|lQ91zXG1zauj=#Tx z>A_R{QB1j{(!Dz4x`AMU3im zMeJ}Ty2Py?S8?(U7L#aSG_l>-gsT|QQUo7rlfcasysj^^TcQo;l@$k?f9x@k+#0O4Y2fO z`+1T+;)llDNLA-G`mzAy@r28f-W!$S`nput(Sj4v>%6o{VCChPr%cJ7!==m$1UkEx zS7re9Kqct%TqS|EyawkAcfMe;cA_3fb> z@c__C$VP#61T)q3{VG8{!1qvM8|h;GB#l2E{GO`w_+#@@6agZ~+Dx3)dRdfT(B$gK zm@K_e_eUod^h_GuUa<&o$*&cWNrQ#qeMcVSE1Nh z%0l=m)c6Id@7n_aYR=Mk+7ZRs^cu}cgR!tR-v*Pu7fT=En2$^2@kM@Llql=jS{G)m zY!NtlO&L5+VO-bM!w`o$emLe0=$Ke#SLY!5E2?U!FpQE^)sVAi(-0*l%Jg`z1ycY# z2?Z>%t5=;!Hj#%8jb zx|daoaF`@ZH++On02(sY4jyi(>X#niNXYm#PULu%y^X@&j(vI7YwjkfqtecJQMxR&!8 z{j@?;HK?H?*flCPy`fO-wnTMY6h+=-ZVgt(k=-ZUJaY-;6DjBrzIO+aH5>|YO6Ij8 z_3*Gsyik;SK6$(}P@#rFau&KU{%2H!BRTHOlzQkJD&mxDOK5Wp-?cwTH`R(QK78p4 z3m?C#x6~5@mz3?r5xf71cMZ%1V!I=G-oyIQCd6MIH^BD8@N?NGyHYz5iOw7GH#EWI z{<5##9dz9aC6kh{$Yj0b-S2K)iND}W?DuJC<$V~ShI=ntm*Z}~i{BKi=mLK^JpG7- z$ldapYr8E#r|P@)oEzds4L;&V0+gAdqEC05GmN4-Omkc*<=jAX+OFIn@KjGMFFj)- zju%51)_{suDow5S(OwowHS_bS>DS$Y=_miS`iK?*q+$;e8<+T^hLzCpObyEFk~<4D z%sc`VpDDz-=Vj>S)g?w2{A&vVUO|qi3v18I^W@AtLz&~xKfdS7tWendkD|}%R~KOA z4ZXNUm}GJyA%cIa)Q<2n1O0p{dk*3bO@~YQKYpsh(Sq&hw=iS z$YRqk!NDsXw81Oc;3qb^mu5pnM;rfV%E&ZC+WJ4AFtFRMX8;mLi3H{d03#V2)_`%B z}J$zFa^xnK9XZhEZZ-9n)Ge=AvC9I#&87|1O+@_0mZdI)3(O zzHB_H*`Y`=6Ag2jaIXQr7ZK${gEeft>x7E!xqUT(^UsFdSgeczFB}@r2Y*5{qYIIE z*UJ|vCycdsG(hw{H)p7x7z_^FQ*Pq$uuw2XHKEYVBLbS4sxg%d( zxVHung@jDQYmdlfG0zD<6Axh1OcK8PPeL6wBs8n9YUoBIgdK-?pe*J;cQ6kx*!DtX zDh|oE!O4T^7c3QChN7}E({_+WWNN8aw9u6b12VHl-0kJ{(Kn{P+%9aOcYowj_b4m& z5ckM`H`X?Rx~Evyq|P;9#E?aZ*S5ti45C8{ zfZKBr{lK%8MR3R{?Ami#!ohJ1qCM-V2}(gE^c(i~J(k&&9#=0p__NT08Et~p;2uAB zC-My~6tNA5FFh#|*K7KHF3;a6rgNy^s$;;lKf;*c`yCV6ew0{i)zN3|aF2pZd8Thc zB0b43KK zVffyKXQ4dd{2QsGxYyWfaCJZ6vj@%dFrYd7Z>XCqYG?tks)g;r0v)$b2U<(aJF-Vc zK*a^sYd7+fEp3k>;@R+xA^o<2-iL7f0M}eoW9(S(0J&ena)BCl2Ukk-|LVcOz7o;=HvxSF{uZ#QZdU0^58 zf6xN9Nkkl=yvMZ{6RV(@<#29;;@&jbaNPv~k(aTZ25uYm=s z7_kFb(p>rE^@60w&39P;29J7&s~0c-l#+y|m_GhsB#t-5ES8;!oj(~}m-&uLU5|CB z(Y7kfmw4nF zJL%%gSA?JVKO0D9udU`oZaz8DvSZJ)9$5<9M$s})g!A}mB_i3?5(`}%q`BT3h|rh1 z<=*an{X1G0&SQ1fjz-Wmk3CNcM@f}%D8-fe#hQh$5em|0?99J02N6M=KeAWd?0p`#(@dxXVv=@)+gq(7Bgg8wZc-hr z`D7~zbC_c__{Z5N>E|-cv3rV{hQ9B4E0oHX1zM9U`_9xBdB7c&n{%GaNX zy&@_a#hi7qkLL_EPjLp|>R~bCAvUI1*6q~d=${$5-|zsZbwkZGiB&oSP28diIvKkm z3V%0%FDCfUuVe-uf+ug}h;>ixiAtWr%pLP@jAmA38Cr(d+oihwV~ObI5mTeVgcRaa znyj8&LHX4DxceB12V6GhpoNM#eq1F~Z+sWP@oIx24<}nsfBU+mr@1ObJ6XRO6 zYHU^~=Z4I%m>=9qiZ^hCPF9sYz2r0NXVdWmV=#sRP81vKBJ8^4ln zEA3H?2Oa+Av2-k3S$uvX$Q*TPC<6aIT)+E%i-TSH>Q1W99&-S(ul3{@3 zTmrDS=d0CeN$4pN3UcAZtY+nIoHVzW(rx)GckH-OaYkV`&?A?Ip0Mb|l%=Yv6fREz z#{5Pa*w2=C;A`+8rX9c1AqJFWd?#!|F7BDd9_t>{wwyfITV?9<)5rKu4jEBQkI08d zyXMkoJSXTdqM^}Kq@Swv@s#2F3`r7`cUbNwHVL#Wh~TCc+>(fqBM}^w5R)OOyWrbt z3Wpd2Ub<_MHVw4DvLb`UHZX{ViIc*B97r;V!&B*jak4VzCXUInf^ztoI+P7(|IkQ? z3hjCg7T#hHhfIB%!p|wfUXcoy@K5PyP;~_vmf%na?JaLT=pX56gXTmQhVVHca}Dhk zn_DS!-q~d(RBtOkz97bJz9$q%&2-^7?D_L&o|yntL-tVBZPCC|eWwtUKjgst6xX=> zq+o;F{h<2@pA{oT^!*q2#9lG|0~tY_qa)lZu=3vYR+%FH2mX|&cE^=14FnF`^=!mT zNpWGfcA7pFuJE5st^~*yOA5}R2)Q4y(r~&HA~O)L7iycYk=XQA&v;z~@*i%U7%`G6 zTW+YUjrH%UicwMd=a&iHeWrndqrxQjJ-2-!KB40(;Vu^el$KmP|K~?t-_Mca-mpP$ zp&H0Nl9Wh`U2M}{p`f&Fd2)o%lhq#fcJF#}Y@BOdLQz49V0ytI^*(%Kww_!1ro*t> zfVHS=1hMc=6doCIpYlAn&3vt=rr0!(_(#ImlT|#6S3GI6++2&!%lClr$jw-h)-rdK z?t1-mSiY=jf%AOG>~OY6yk3d?Q)bJty9TvZyfPde;%vq!hob_LK?P6QJ38Au^^dv+ zcw=F5HQM1?qpbj~7L*3gVKAOe$MQPj4n6ENQ99UD8eWJBFc3+|6BCOFA`K>5 zU?Fj{DRs@YCu3u4TdqOj@FQSN+-2G^#tSt`=gZAeu1a_a>G7kMtr-eW+j_8j8JhC1 zHF2Q&$TjTp@y&dD5}8LpmG4+;VewJA>ndN|hA%7`5GFAymjxEalk(z?#3t@jDJOq+ zv1#k~g=5=c;W^bXmR>1g50yUo0Vb;uNH;}GD6CloAI57TwAgLwD8|SfPtYfBv4i1r zCIY@uXsatA_MLe~Z$4STKg%^quq>z`AkSz&ef{^D^Z0pp6op9Dkc9y8@23Kj%FyZB zKfUK8Y_)XcR5$Ak4MBc2gM%TGdQ=g>YaO+N`i3Uf zn+YCrx+59U23JYK5ED%R?8Sz{#0eJ z4VZ0+m4@M#XaW1* zMCj7C&{x}@!Dqgk;yhk?`B4>yvFk*Yq$69}BeIUjz@`*06HG#5S+j(g~73z*;W&0s+XL zzaap5_m>O|uN;RULO4QV5Rau$fWY+2jezlfT~Y$3|1DUn*A&PbKiK>-6&>(CRv@s*;%auh@2K^_(W|i=O zBfwllQs6k7J_sT90meTT_SpHux8iWR*WIv6N-TbYOg2U=MMgS{t7hPM3ZSRghpnq}(?x0K<3mOQLT(b9Lxqw>7S6iU$%ImXkHqtF1BVN)=wgs>(cx|LZy6`S3V^F#o!8RPdKZJ zLT)*#_zRjx`B1}G)P^t0QL~v*W`5DkgICq^t;PMY8T1c;|Lo{yyExM`TG*IZl(T{o z&nOTC`&Y5MC^`II09X9CBF|Tc|Eopai_=NXr#7}J?r&Qe+vDjQ^Pg(}?+oyN7ah4n zMypf1nei_J>FB=z{I(hN4}dQ_o%|PoLu~U8fZzYO>hk{p@GiER{{nEx8~*BSWpf(A zsruloM6rvpopE%`4zc)ytARlmn-dNvC<(2^&DBuQFFW1m1z7&FxG_&#x|MNc?q>M% zYCLIzrJ*oQ_lmd)W@^{lt853}0=Np?j=KHfpZMDyU zn&$qymx5nA5VcorJ4;emHt5#hYP0$RJcqx2CcT@)!_zmwxO(n@jt8HhhA~Wx@E5}N zpH-%3_)7+90NcM)3D`eE`|+1Zy74=w!^l1qnq+v342Ao&@@+i}{DFN~A(9%7{qs}5 za)V4`%;YJDd@^qTSoT>l>!6%J{V65%fZ_ZyF6vE_^{0~2tO=uwAGL~$aQp^=26+pj zQ*(q9dbv!8@RUOtRL9+qJY=n>=|I>x_c4+g6Md_RXTaGRv?>_{^Pb$HUHADEAaZK9)RrQXA%C+*H0R@5tg~rY9eVm;5ELgB zJJlMu;^=ARcmIww2ex$Qe z|0a;+9@~J+=DDKPj3CjRt0c7Z*7Ph(b*z^_ftTvS+>COYgk%@*OJLD-1Y6F)wKDYn zZ@w_-;o;WC(Pp8s3wIHxjrCiX0Gyl-Z%&3eO*uu#!+bMGyIHKe0kec&zrE2p1Q|d3 z0w#K_AGKf@Iw(*gn!Ve~sD@j9RDC^V^!vDeFIi=m+9smMLg0-<<0$in96xqLGtL#F zW^0c7H2SMgOF%buZ{knmrpMc4S`l$jLpbGZb#`x$s4jweZaz!mX~am%K`lG>s4ISC zu8s&?`JUX+_+Cx)7*&WK^`!i$r#a>UIS|NS{l=cr0z+YE9)!zg|D9cOpGg@TUgC3n z2*v{)@zolI2QzokG|Ah!Uhk(Oa7p?Cekh+>YSyjr9gi;Ma8LJF+j8>=N`gczB3-sl zne6Df?)XiqU{$#77TN2H{Og9Bw#h{qV^5?|wGl?mJjN?AA&OZPVO96`1%-GJ1HgDN zs;294VK%UN1!J@BME}~(xXa3Ey5!?Q5OhuNOw1HJvgbLIeyRrg^_&p7|5=~?$R!1< z^?4|&6qn&l>Kz^Ua|m?h0sV&p#LmctB?Ip#U*J>CRQRk`coDxzjR-27am^5#KoT6) zf%?!7J$ni2$$~^(!=9_dv8ao23xEa4NxSlUUqEw*AYw9o2$oj(?#F1+JnFI^KHR)7 zMsGm_n_A6n4XLXg-=eOIyubheJHVG9_0f@X787_4+m4I-!JUnaZqO1qc95-p6J`T_Umnr(mUoOr~pSHPM)ZXafTedH+ItuiG|yFmC%0ol)KrhDYm-^&#i+)kL=5O84d&ohhI>0 zuVuPRKcobT%@{G)g!-oD1C`HQ`{ZIsE|#k9XBa#2etRsQg*P6{@Fnw?n|W<{FJoU=EbCgyda)($PcoD?1sZDJ0A42%SE|VInD%*m zc9rcoo-UVsY!zk#bia`<)moj=(1iiylIgvq4KnD}=7DZSW}4HbL9dexP8ty{~=5Km5mF^2k6C>aEOi@b%!WoD!eYK7-cx0x|EUs;IK)JVvG_ zo2@ky-s_|?5S$Ic{P^G1iIx$K2H}N_;GNvCTXnlT?4n$gcKLvx`iq7?y{ZYHeJuu# zM`Z*qk}E{?>JBIMn$6*s)!~>-(U#}y+w|1?hcB8&DS^%@L?i9J^6(~VDx@0p+g<^o z^8%~tJsQ<7hue5s_2`s5+I`n2Ix=`p3$`eRcrnt}nLH3tz-zJmVDC&0qXk@eS!_?7 zK*^+>A{Zw|)3^8!gP120w&iHPM_j0Mk&~yZZA3=9iklSG$Dp)N4tN}sm}Ho_H_f<1 z0Z-o5=KvmyTUmWf@rCo1gUc1KLg>bJoBFA1ZtEP&=j*E#s$ELKASWMxds$^%?Dp@C zB6ijCxYMCg1Jh#7(m8IPWY3sdiB)Y1>UDO3KGiUYDtKbP>5av)02G@x(V(>TFY|r~ znM(Jh?d(CgmGt$Fl!7O_>5#!lX;qAw88x=x2sqwXsy+@I-1%H)v`GP_s+!*;eW!K; zGJSey2gMK0&?sxXSf7aNs!Tq-IvA{q_}!`Y!?y4UeJ9Z_BS5HB+@vv z-u6h;1$XvZ?FVFDgwUjPaBlmfnQSak09z+_vy`bawd-^HVH3;Md%C4h{ggaNL5*Ci z;Q;nQCnG1k<1r=cx`J~gKqB0H=Rl&|U5saI9{Exi6xW2$xDrm*k|x0{E2R_TeK^@i$6Wt%k}Hd!P+Muq@wi?&0PoEtV(9H)9+h27pa9 z1rjM|?4UskP^9acF0wE4H<_9A{2D*?pM*EevXJ*cX!7HAb99f-$AaOPXXC7BDY%cT zSm*(KAVl#Xy|5%7SeyK0C7GF3JM6PO#z~n#ExTYts^Xpr(?oIaRm|zI*2Nh<3O=_Vo)b50ndbhps5E zD75dky68S~9qzG$>u@oVUJ}JcMoe>awQ0X>322G`Q}j(*u0sA3se4`;vFq=&LLhAY^Wd>M>9(CdbosAO1U+2 z1-+83yY{?gblb}#5DUbZ-gB3lGuRik%HCs$wvYKIs{h;m+ld#5McLbwo6{(v z)D#e$GpDSctF;f+dsn!X<4)kD12I4%t+04U34V+hQlOg-sKeIV2H|{paZ{>;g^dLy zw4ZA0JAcSDor|`_ZTlBiDIKKwuSiX0*G;5d?0^YhT^SSW2p|k7RpWO4h#Fs z!mZCWEwh(>@Vp=tnC)41Weuqg#)cB3wAKGLTk&9`mxlTOnhj#fd2&aI;w>13;w{l> zEf5O>F5-u|OM@BYi(2qzwgynV<^RuM4j_Nvpmwen6ag_ingP!axEU zawZNNd_VEgclu~NsL3uS?>TF@qj8AIVKRm6lQ~zkX9QX=`#1B*#0|APFpg?L)uxy6 zYWtRBSLl=JfnAYp-g1ubJR-7TLdw~y>&kg$(T?~Ip*%?5nf{ADI?W!K_!sA# z-XN`zHkB>_*`vr=q7}vCb#e2hqNDnLTW-rNjCnF0X4|Ybw;0_+qPXwV7h6tUMbAu# zwI|_X9yADO*X1BVOYBrJ=1l|g16auMo#-h#cEF<3zVP1)7J6LB{Qgh)VTZUF*6byl z+J~zf=!F8=2M>17*pwVYcaQ@x(NDWNCQaUu1x9p916;ex&XV{eGtK!QHhMWO-iI^D0n zE6E+14v1``rR<1&-N;VAXp5*ox`SIZ#tUJG48#JwLR{o3aTWRknKw*4q%gzDh;8=& zH-dTffB*j%!TOWr%i-3ImcM_0_y01AoeRjsi>>!>0J)H$KZ9%*RUEW|hl3mriM5qB zF( zt*)0G_W#7ftjiRL;YA>8=l`@V1X^Wbw{lj`wcPYC;WT2YUxSBcP59htO ztfz;TYQ$%AeDxC*y+??OL{ExG9fky=BFPL+z#zhf6&kLLNT?yoIW~UJH&erD?CTt1 zln`&8Pd))u@{6kup(iIv7cJiT!OI8I^P#>C6nz*SvVRu0J>iSOe$ic8{wya?ljtG)a#?rGl3U-y3|D z=v}vjso|q-wbeo+*LKr+pM$Gis~JBIha`$Spk^|mAu0KFw+?L#tv_i+7|N`rHHlyi z;g)!Vp-k2*QgH79RcNw7B;N^x=Fv*hC&^M^8%!K}w|0I~=)x7`Io!M8S)ze8lyI_Ae zaQTqQ(&4H($)jNWRxru#5%5?4;%m%`P{-tBx8sn=51a>z1)Xc*zk!M($ND=9{X&hl z?qXJ)>%Xdm=o4L<*agn{{!pa8$hyDg17D49!3S>ZhSm-$bH@RWJ^PFE%?Y&bnfYyj zB-E#@{u$esJ!*)YqdPXl?89CzBuN*KNV+6QxMHn?69W2)0grwxWp-+QMq;%j|90Z9 zLyhXhI5IQ$9!=gtyqK84w-onZf%>Dbe|Nfb9gqmNs8=qW%)~yNUou|5{Ox)MI{0W} zdqCziDANHHjXr<>b~$k1`J1euspWD6w|EX*q4uVciVMHf%9S)Wc$Hh zuPv8S378qy%|r^VfNf*FE>|}iF*Iy2>QM_i!Ofa@p9C=Rs}0&*80=vN3R-Z z4efsLj+JN{afnzw8R4%wl#pfuBG&nDg9B0bN52wKDj1H{H6z?SKtw>H5rJMkt1eA7 zy%_hV(}UK zy_d#sbw3Se=DYemBW}s~0JdX){CVZ?c7QAnAuD@CH}hIiC=TkwUR5~Wit&3ECU4x5 zv`mPr*cP=6EZYpS&2BaFJz90J>XE4 z=?;kDFVDXIHn4Ny{+R|Mfy1ap($B^`Hc#Y*_O9ijmT|vZ-W(Qm{3TVLzRYl}SVU)R z#+3l?QiAnrJ`PYBxZBicKBxtfv>-T7tK#`+xs6-B8CeLCSzI|aS>(cXxA$;jKK{A$Ai9ea!H6o zJZBFZBl7D-v`kiLQ&bY$m3l>F?NQ^l@y$G^n&&DE-oWRBXgdMIk0ZXENO`CpF}U69 zmhS}AOL@Nq@_BK!=}z`c_^Vwxm+X8#vQgZoR~&}2bkB@>SBPi#QZJzD5viqmnAM{| z@lE;SGty~2e?;T2_@rDke~K&IdHTb^<%PcBsvU5vZc2|E-sO{mWY?;Szb&HNVc59&yxWt@Lk z$i`xwQ`&^^Whyp+!$zf9J?wj9$!X;*0yF)-NILWCy5=`8jzi%s&Uw|i^7X~EXBY1; zwrG;wuej1;pCYDOzs1-WC$@ilt|<9XX);~{wXG+Xy99T|o zy|`wOkVwhtfofp-Xl1!JD{ZNO@+V-AshH;yo!z21am9GE$O;5bmTa`-*J;`<}U;@ev~W&DnQ9trn-9bE*X*7yU^PBC_tUcRg;KU^5c_({RSdlG}#pT)c0sHVKi zB_u>Oq_^5khC=dW&A-gW_FN5t7i3^B&xNTdSXBdxVbiX~Enzmna4}FttVeOGSaE9# zPQJxf0)M_%l&h?UVGp4RT#5lxD&zejniFtsc; zt6gcNZ;x_Aim)I@Of2L8kKNJPoK~qp1-ThWZ76OMooeS;o)6Z@XCO|&J9J*PQk|1T zsz=4C3fF!g=$y$>vF~%UiEn5i0VCrp>3%Q2yf$Y9{EZ>!G-U<8E)zRKJT?2QSL|h<(Bf?$ZnasI>LvDUjY@792J?W zWac$*sd_MYHt2+fbqt0!U@2~Y(7le*_0Y3lJVDkKQ^F5%#=Hkq+&_n#FndPX`!+lk zH&#=t?6j;z8#BN%^1e*K-0GC;&FTO}LE7s}Wk~t2#ym;wDe|>I`i?Q}=UZ^KfzeFy znU)jCcak&=I^vTqx!a|~*bPS)pPsAZG+e0eJtpD?p~o+(>Y)5!dKsWq9E)sm4x&$s zEWiKF$8e#PuuogFTy!ZiTh_G5UltJcm9Rbp!V6LB5d%otxyJ!|N!2QS+1vW-kHaCn z3NXI)Ov{_kSPpzLLd(KcCwfgX_rrOJ@W=5QJ#*!z9z&~rN3jiIDwdtFIVnazQ(KT| zpufsO!OkKwGbiIvA(5r$+L(_!69r>Y@;9k%{8q;(OyL@5W)A7IuPDWWN*5o1-OCfZ zSr;ZrGz2z-72zLo(>;~Sx5`>lPlZ}0*4)Z&@`U^-_;=P|)6X}hR2Z&x_|K9Y9OE0- z$FTsLO=VQ#0e>GMVkx1=?0MWZPiMTf^F=8wB=_rA`uqTn3t{$bgP-sfUc)fXYpREC zZ*^Kr44#Vurp2&=gAfL##1LJ> zLRUlej7mHlA|)3zKsS_bCu&jA=4j=HyplGj|`gPTuIv|B-P$Dr~4l;!w#K z%+m3@4|nBBDOwUyR96zGf*G@!3l~=+vhKlS=S`3TFKRb5aGz47Wc%SYjN*SoSfe@*u`36pMi~G<9-lXLeYL z;^GxT33pyb8Qwe=B@=8(Fio?-zG#^H1WMjhh+J>W^GmBsdRu;oA(xQj2m4GVGW%2B zQ$!iI6G zt0c!7yx0`%GDf!cU9j~Syay?~0JxpighD?0Twd3q@n3gk8e0W~OCFPh#VuTQa)~&ZA)P($= zLyC=IxAQ{^V_}5U?4>3e;71AijE!H?)>D_m&BtsXoFDGmANXGp$eHVpFw^~%VpW)k zN$u80WgLVR!v`5>C_^H{W}`%Arh?^>iA1mC-Qr@#c`9hn2@x?0=WV0I6`2UK3tdT= zFTjZD*~JbOX--tqVy%^*hbd-;5MRIqjd1%<5srQQK~ylqXC|YtK!>0BPpAF_u~c5@ z-EdiTv$$L|g;o?p+E>!%&005f!(phZdaLihL>YSV2_N7MiQk#VrTwax!4`btS51R9 zgeNjZ`63I(96$@_b@Z)%XF6dXQ$zHwdDFn0xC2?t0D~%aCr!(2!hO}bKVw)mXQ{tu ziLHBtwQA{}wOw?n8Gz^1Qib9)XF`MWAU%c&9{a|BeoZNT#?-3ZW9)--_ORq>BTSh1 zA${v&J$-YRv_6y)`mZg`ve<=V2~(83Anj8-Ek$fPcF5h6&TqwV64C^}H*Ie^Vj@$S zB-yn!`xey|o}I zEqa*--k80w0@PeL1Y2&e{C#iDHW*RfCdGt49&pg#I`sCMgl;*DK?B8IY#ge6CM_&c z;dGvLyi0;X5l^ejEkt`8;e~+h8X*n? z$4feg){VCN(`;jxrSA8g$b+E;$KB%myQmD{D|&PA-26l5sw^!hP9ooIsc=DZ9Fbi3 z%(|0UKnQF?(eVtUW~f-nAgMa_7c!rcc)w^c9Xi{%EKZXG936F=e~=j=-4nD)CBIq< zXI{BHSJ|MafLc8NGh@hmwI)B)eCjn|>QY$EB~Kn@o3S|`5#yWducr}*xyLiVF5`8e zRFh`vY=}IegjX<0cXW)GsFD0l79a7zpAFkOs9H$(Egf|8K}5Wj|L{&efmr>D^Px_R zW%%tLfvEi5eeuBf>Wx z;q-gYve8V85^gqeDS6jUlCxxU!}7+F6h0p;Q9pNRyL(AbN^!MZOT`P#^zqn0&cw_q zA+#;{#8qNnu&<@3juw2^5r`4K`p>~Fh@w#v zncd2hDtraoBp06G=dUZeG{5}VZZDqON4iQEat|&Jon6n z!T+|G3T@9bSm$$sOf~wjCx|8BdZW22nd5DFq2g^}Ay7jDvG$JG0di)j-#-@I`(k_c zb^2F}O{A^cYc}eo&25IxN@|2>ewYONnZPef%wkj)0Dm>!8nBY4y8hAc&R4vXWE;X! zpY6$0iV=fvz%4*BJ!bgXn{6E-oY&T;`knYde^)ipJDyE<4&n}CuptJO`*xa^!~i6) zghrah44xlU?%L&$pXz)5DQb>7hawIiAS{&NN9{f&d*gotzzklqmxL_kDJ=tV#f=_8%c zL_`q*X)1!W2!a#|HS{JebfovH5F{jbe82C#KkkqFBeUkrTA7)(&Yb7j=h=HdOtSou zVME@g$YZ##SK=B<3@M`^{E~!gHk4{tQsxhhjRaelj{yh*vZ2=>I#AmKwuX83)IArb zwD#1dqg9vk8Vl8`(9B9jsW33@+o;V&`Lfu^p2*c&O?*Q$!_6$bMm!*1BNWeIYK5^U zI^d~mP%I4l4v77{2DRByX0LrSPJ+>(^Xy_47udoqxoKUkWsM`n6w3Lh!nDqxf%gXO zp0!rrGUWv9lWg|1;g(Vw+kB)L5Fyq6wR?I=NgOiQT3Lo(w#jM4o6cwkwlKFj(0K82 zqFb2Lhg;kIQW?F7JUwI1_gIQC8p(23xb2fh=l}#P>;!o;l*48RmjDAZhSx~gMHWYq zPLT<+GZ6_-VuE)ucLyP0X>)FV$P^Z>M$qgTl=%{3;1hQWy89AD|37!%|7-5EvX*Yo z0v?g`!@q?jW?~pz+2%ZgkSGt)efMZ5%>hq}j3d>PqnzsH@Tir{)!Tqjnw9iM4=#$G zz%7iGxyT)gGQclUbi`4t;q!RmbA2xL@HY#>{A~nTSKW+7_Bo zC?sC(oAjkh&0UqC46|U^s)}9HF<&(Tq{G^YC`WWMk-!9#u1q|Mr#sI|?wz}rBCb!l zW-KB^o2cHC=E)@*vwiNkJnB+ICm3K6>wW8U~pJ0PKN}l9s#WB+vq_z63$;PTB^l`0+`6t9{HOyxgQrUAT&?F3njv)I$!ljtzTdkq*6!i8B_~V& z#B6jW#maOl%IBhwW}2<>@WO^z;9JfLd30{G|p80)yYGFje?TT zVObhS>)n@y!5Xzhx$J`J!xZYUU*(xVQ<($CS|Prpa%5$a+%`p1>O-5z&7Iba1|fcP zhUd{{!Hq0eQI^^*kin@40C~*O@`8QhESsCR$-j{52-Z6vH)VSicMJ&t0;kzy9m6Kc zY1nDLcixa!phhF>iO_5`c%ZE}pBN9VenrC3zC*{@ln=4fQb8WFz0j{bXurk&aY6M7PE~=ZjQ?Xt2gR%Ve@$&k45}TmO z`u$`w%0o zgZv_DH9irp9eCg%O%429K`N6nN%sxW%wJz8!#u>2E$?_v!?}D_cMV%fSJGh*ActS$^(DfdNc>sP`a^YOgDDPNOgRv}7i=U7E#ai+J%Mq)tP z9B)BmK>C)Wc`F5~^y}s?ZQ@!IN4yqD)%Hd1XQJhxf=bcRlEKTPv76?eB7bC67c5i!2qLO1*=l?1F66;L~7>eQ&K)01nB=4@Yr6Y46n6gU#H9W&J-sFLPXD#MYUr$;5(mfMk zrcBFego}6f{6OHFl$(T?$AG9RuFT5--gNv^m&chG9`x6h>ii~#qv((YoOl-@(LRum zjm}s0n95kC&p2}!-!%>)?6LssJ^NXO4a+HKgZQf^`%_Fybw#-IhsO5vA}f+Fs-KcA zO2*b=$LM=ZK0jlIZmrvmRu|@72Z&*oFVhyQKU@nLb_)NU^OZ^nTSS(Z0YRjBl=a#l z7@qX3MM06@Ky8JP!J^EeHXq}D@(;gTHV#og{JY{!%~}dp1t<}-J-nch3zXO;RqAvM zxURc1#=ou1U5P^EU^u3=l!i?`J0BkSwC7xbP{X215u`dTm_H;|NR5L*!3A+79)DI4Wc=8u@{>Av>-6K~&_Fx96&`cNCI z_bu|S%ypIJ#%)Rzk6usQ;tqNBZfC)n(O|STFK%-+1yH3Wfq%)1dl542&f2qJ+ztUs zkX42Zs~>#HUTdCp^|8kl1o-C*uPp_do84eEPt5Td3tp9_k=|W8yAA}d44&mmmAscLwYe`(w>l>SJ|Urc=buh{FF z=p(1LFStQ2I%aiIz$!$u@W?{YIf$XNqGMtE1L>w@t?0{llt~lIF|vq${fsE-&9IE# z-1SXw<7pPz;M6%x5T^bZUUC$pBW9pVLXaNRIw zM%Z}w=W~^B6OsMfxujVU#x|oM5_{-Krdcj zA{p{)%9jyo=+0fYKj{mhyU9ves`}VrseUn?U{*4P{tMJE$7NjQqsRBl(@<7D^%U0L z+tM84&3EIyGJ!b<+fU3>OV+xO?u7Rxx$j(!d!#}N2{AYBobPjJM0^)ICk|bx2#owb z^dDP45x{cnCv(7xd(rSihgBI3L3WjFc)59raJ4Fk&<*Y!R znx10!O97Jxt&^WQjRR}!fk}YUGLgHPsvT-xZuK@gWLZVvNXHE-ALD`bL}o0`td3iH z6(7GwiB-&OItpVS)dV(h+G6wy@0q+A{nD4YD_B#rYO9IZDo4-@Mg7ck%|K%8U*16j z{7&r2`N`T{Z7KN>g1Xr=6sIOwf5DwQ+7J_*Q#=<{@1;@U9MaeiGTWykQ5hTG8tEa} z)1THv1PvFpS9ZjNTwM};bqEC8=djxXd}Y0Pz?0-ajEm=<@>ulr!Gk$kh;S2w!AQ7^IzO#t^Kcsq##Ie|rjjiDagvbD-eQvxq22?)Qp6e~e{-Ja|##si2@@cZ&=?wf~e@FC} z)n~&vqk2cBV4$ul*X9*8hvfy20vRPw(~v$JwO#aO3pVO`m{oD|r4+5JYuDim!ZBic zv}13+z$B=mg+*xJ$MsKM4PRG$Hs-9NsoVcGKQcA%#=YtZV2QOlkgO!!XSme#snVAS z{cnvk?mISH-rF-`?L9x=IhU8RV}8?g73_t)5B_EQT=o;ty!`^2BNH;C`dlh3`=$Nm z;b|7ES)&O%Ba;A8%x~^RBpHT80te3A38YTB0bSvEHlYb=Q&=5SX#uysdqil1JQegs z)$}HOmgS!{rL;rT@rNxGf{b`TIVh53IKnYxV!3wA$rZt*ChbMn@cG6qbht*OV_9U? zJf|`+0m+W;oW3v9wzfDi{R3n1USeVbuK2{i3Y@|0=)Cy=3@632GA}x(Nx`43YxXso zUUX4EB~67FW;ta8>lHUVehsvm!x+r%j&@%+uguWe{%ou|cDEZhzy4g;NQK0lvf!Ac z+KhT2L&#KTHIn!1cy-DntN9@5^kKH=93-wl-LE6trTe#dqFVr;ffxS|1m|wr* zDzuXUS}UqvH9O(U`W~!Aguz?p zKNpGjc32)=83tW?>=#M?W2tb66K6x-;b$KEQhM+0fL9U8yFv1hk4mB>bJId?(8Rd%ivr>V4( z+PdZz{yo&Z21$bV_NXu!32kQ0y0E{@Sdqhqsv&9LVZ2E9Q}_dVX#wrZ>ko4a$pbaq z5!Loy)*XuJ=1*tIzhXXVfOcPo-zp8zvm5N-a@z9G^AQtv8v z*t3q4^2mEqdcMDS8a+egl@ccJR&#MC;6T?*%a#~L1N}@fduIpR*9CCX;gU$2vSF$-IJr(Eo z+}XNU{`<;_q5`lw2Ac;L@}t8LngV{^kE7A!HHxPe5;v7CogNI-ya`cj9Gcp>)p6h8 z(>E-f-^7KcA<0S^Wfs7F;=`~cQ6nP|yl%+20*z;=EXa3P8CJ!oZI!C2!z~!{lfpXB z)#6mvo^|B7-fk>~6?0N--(G{$R`on6+mjRUlJ+Tolmgh!`60$Htc>TJu7TgE@G%&( z<+IjL+_R0Qr?Il@;5o<@y}*J^RpUgXH$sua7CTk zbTmwdqO|{87Q@0c%JL3vVysk`>nPL#R#kbpU@`F%Zu+O(9NQBh&dD9(_IDSq@Wy| z^Q&IXrXii;!gszo43W3I+@xDIxpQl(RI^n7@LD>uU_c12nN79KG!5LvT=s-?Cm4cn z{LH97O1`2FGG*eUl+QJy2HQv+Bm%{$+@6q{>Z($Z8qKx&D?UZq4V~mLibr z$n|>PhWq9~#CAD@d*&uhY65Lo$PB#e`(^a;WmdDOdoE(Q(2p4jaq5-QTVo{}Ni4ct zpasXNR<{J~=6#QczEOYWxtUh@Vn%jsSkfnO|9j z8XlpJVAfy$v(bTpjsbK3#n>3 z%8GWYB-R}6B3hTz6jj;XOC=#vS(PaKhkU)h^V)&M!)>hYQ~i8*So4zoLBXH9g@wH$ zUjm%5-QtI|6$p@e`6R4b_KbH57m1KLmW{+jjaG|S#vbx?J>Je}oz|01s*x^3G z2dPb#Y%w6Avt59AQ8eYofBPOE{D$12cN@-#T6(5qs1)VH6TDoB6HX_*T4dqZLub}6^PrB5& zsw^}Y`uSjY{vf9}kkIByz8^Dcm-(DMD@Bn;ZlQs_RoB!tDL&=!v>?5|{jIdcl+DBv zy55<#&Qrplm;;w-NfI*VAfmJFua)a)OSNg4*fNIA>&Ne^T8GZQUQV2&Xm%FgE6J@Q zys3>^KifC=xQ0*;9X&c+5=hu`8-La6R#dsyBIRQ1i}C&gs0#nSn7F?{LmeD(bYmA* z{gu_j?^bP|Z*|gN8ESIwsJvE8l>ryYFltASnC9p-D=rB+H|_EVX`k{rg*1`p!P07u zgl==_cc#%Ak?$2elPS4@j}3xirzZ1QjQS7GB?)QR4xA*xVL*~_O2F9>@IGO!#}_`T z_|-hZ`GO}NzfbtH4B$o=@V`+P*i7K87> zCU8*);MNJJdH8ei?vp6oIRU2-RWWsObh#$UwHG*>B%GWQ4pI2s1;W`yCV{pWF|jTD Hk`(ekqp8+P diff --git a/hw/hw3/hw3.tex b/hw/hw3/hw3.tex index 5fcb3a6..1232428 100644 --- a/hw/hw3/hw3.tex +++ b/hw/hw3/hw3.tex @@ -328,7 +328,6 @@ Prove that there are no solutions in integers \(x\) and \(y\) to the equation \( 2(0)^2 + 5(1)^2 &= 0 + 5 = 5 &\neq 14&&(0,1)\\ 2(1)^2 + 5(0)^2 &= 2 + 0 = 2 &\neq 14&&(1,0)\\ 2(1)^2 + 5(1)^2 &= 2 + 5 = 7 &\neq 14&&(1,1)\\ - 2(1)^2 + 5(2)^2 &= 2 + 20 = 22 &\neq 14&&(1,2)\\ 2(2)^2 + 5(0)^2 &= 8 + 0 = 8 &\neq 14&&(2,0)\\ 2(2)^2 + 5(1)^2 &= 8 + 5 = 13 &\neq 14&&(2,1)\\ \end{align*}