From 93164c654b038f3eba239e7c9c04ca8ed18e4e0a Mon Sep 17 00:00:00 2001 From: Rushil Umaretiya Date: Wed, 15 Nov 2023 16:45:53 -0500 Subject: [PATCH] fixed spacing --- hw/hw8/hw8.fdb_latexmk | 8 ++++---- hw/hw8/hw8.log | 4 ++-- hw/hw8/hw8.pdf | Bin 140306 -> 140299 bytes hw/hw8/hw8.synctex.gz | Bin 20595 -> 20501 bytes hw/hw8/hw8.tex | 2 -- 5 files changed, 6 insertions(+), 8 deletions(-) diff --git a/hw/hw8/hw8.fdb_latexmk b/hw/hw8/hw8.fdb_latexmk index ebab914..18cbf18 100644 --- a/hw/hw8/hw8.fdb_latexmk +++ b/hw/hw8/hw8.fdb_latexmk @@ -1,7 +1,7 @@ # Fdb version 4 -["pdflatex"] 1700084366 "/home/rushil/school/math/hw/hw8/hw8.tex" "hw8.pdf" "hw8" 1700084366 0 +["pdflatex"] 1700084743 "/home/rushil/school/math/hw/hw8/hw8.tex" "hw8.pdf" "hw8" 1700084743 0 "/etc/texmf/web2c/texmf.cnf" 1693368362 475 c0e671620eb5563b2130f56340a5fde8 "" - "/home/rushil/school/math/hw/hw8/hw8.tex" 1700084365 7904 033950536c11fc42779f3aa61d68f2e8 "" + "/home/rushil/school/math/hw/hw8/hw8.tex" 1700084743 7876 a6c479a981a89d878f1c91417a8dea27 "" "/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 "" @@ -149,8 +149,8 @@ "/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 "" - "hw8.aux" 1700084366 194 88c1331b9e58d48c539d01f9d282ed72 "pdflatex" - "hw8.tex" 1700084365 7904 033950536c11fc42779f3aa61d68f2e8 "" + "hw8.aux" 1700084743 194 88c1331b9e58d48c539d01f9d282ed72 "pdflatex" + "hw8.tex" 1700084743 7876 a6c479a981a89d878f1c91417a8dea27 "" (generated) "hw8.aux" "hw8.log" diff --git a/hw/hw8/hw8.log b/hw/hw8/hw8.log index b8d3a98..14711cb 100644 --- a/hw/hw8/hw8.log +++ b/hw/hw8/hw8.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) 15 NOV 2023 16:39 +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30) 15 NOV 2023 16:45 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. @@ -489,7 +489,7 @@ Here is how much of TeX's memory you used: 1141 hyphenation exceptions out of 8191 102i,11n,104p,488b,290s stack positions out of 10000i,1000n,20000p,200000b,200000s -Output written on hw8.pdf (8 pages, 140306 bytes). +Output written on hw8.pdf (8 pages, 140299 bytes). PDF statistics: 94 PDF objects out of 1000 (max. 8388607) 59 compressed objects within 1 object stream diff --git a/hw/hw8/hw8.pdf b/hw/hw8/hw8.pdf index a8d1650b325d6112cc320d5bab5d014466f26776..bf0f20ba271ee5df039e37f6cfcdcd00eb00bd77 100644 GIT binary patch delta 878 zcmV-!1Cjia$Owzb2(XL>0XLJ73o4Vh1|EMH$B>A8sEtF#zh@K2AvOl35+|>A-psuB zcE%vS2@vm+H+eD|n;?P;maNFX3P-|et$`KE&$#^tba(8FQ*wfLVSj>e=q3xtEw+!w+f5;oKR=9&FmwED-V2p#n zMlUGRMwH8B@&IBQ@2>QXK#b$`8U12n?nsOv64O0m#wkxdtIIR2Ca+&)HQN;*Go9`aF> zk5k2cudT8kyOO4V^*V(A=QW1kQ(&Umq0_OyoW?4Lc&hXWCK9Y15z206~lr81Olj5 z#Hv^m+hT)W{=i;$MND`EUv0N6HbqTriMrSk{i2WXuk7=H@QL`Nje{aiBrkt$Oo{{% zoZ6TcDI$Ag0ys36G4KH?leY#Qf0)FOh1>`C>{;F|s;9b{sMq?I7C`8nU3D& zkK9;U%{Nuk8qiGlwmfdCWlml;v!-5Of9%M2-9-^)k};ytRuQ>Wt=hWP!wrTEhtI>x zv+J7Q1HcJ}PC4y647!BqDUD@ZRM|ont4NpR_JmkG5AE%0sy|&7FY$c_P$zQDw;s05U;r9@j=ym9IJl;)Xl|wvtHFqo7>&?K* zKoIelW=y*zeBALD86+V=gOLb_kq7~|kq83&3j{McGB%fx6apUvGdVIgx3d%iqzzF- zG&43aH8e#xGchwUH84UoMMOq8MlnJ&Mm9D?GB-m$AUs4gGd3|bG(|TvF*7kWFhVs& zL`FD9F+wv&Ha0{uH$y&M3NK7$ZfA68ATl>Jmoe}GDSsWzJ1>J_7{>AIdaAGL!Q0YS z>+E%?W1XrF8+JxRH!1+gZoVqMfkUBpEf5nR~kZV?cPM;m)Y zf=FH3n12#UB0RA%Bhp0f+Quyrie94Fw%v;87kN<-MKK^sqAUi*kQf#tVw5P~*p)Hj z;M8iIXzp4~5DyKjh-jT#O_HU^YKpAwSxu9TC#xB6AAgS!O?ZUe#Hg9UdT++BjZ1$PThaCdhL?rwv-JB0A@yw82_fB&gE zReicnckhMcc<=g`Q!K49Q#cnAFreH}2;qygvE0y|3L}9>!k!w)^?^l5P354R!l<`gVEvz1=yzZ_iCkkqHX0 zAe~tvWnaFZN;1Ux>F#Y9KF2N@2>$VXTvK`5K0Hj_!ejdD!o*e0qOg=xokN<#;HCw>%B!b=B@oU+?#8#6A12KM%(*k3WkaSsu~e7fyNYno5x6$l4}; zA^4u(6Laa#-=6RPoqHR5oA~ng;m%O4jj{+C*Xh>fJ>ay@VAIF_&!6XOSuXA)%A$@+ z=h4@x?hS87`dG~eMJn9q{#|=6AJW)mk7{%x@bQ8DBe%^1^tPkUA=AtD^>L9kvh(_Z zeNI*P=7yg;vrxx_Rm_@?+O5Ow>sFP}y-bXbz=W*5{y|Hx1_z76V{>Q3Zj-)h$LrN~ z(>|OpU0F=*oEpwD__ey*NB3s|kD#V;xzIZR`u=eB?8@4pOXZu+v}Dv;rqz1+CR9@o z`zobbSLyZKTeZTHLbqSX``t$;Zi!^U;pg`AqD!L>;cxaDM|_Jr4^n>1O1x-ECG8sC zzrt)7e0~2s-QWZvY8QX?oNPL&R)}SZB_kDLT^RP7We67%WO{dTvyXkuQ|r#YcbV|v zKPnYN86vLFR$ytADt03@WTa`_lRxKBVT2L##?_w7S{3s&T_#EIQ+buHzB;|1yPd#N z@vve!R`dPyu-}jDuEF`#qS78-;cCTF^g1s{aVnW}{{(BMcm=JnJC83bzkB>LW*?iA zexnjpsg&#&O5N!f3J#@qDDxv+6ucxWc54+G+&-@KkhE3;aqqG zDztP$7Q3U}ruAy{pk)^f6G&C{Kc@Vke~Y>&whse*EhZEVivGo>5GHa z`|gPWXdvkL2`epX54W#$Bd+-Bz3XF=L7ocduDX}I)$fl7(9Qi0R*#A2FoAVwTvJnz z26kFd#SfC%J@<2SyM8yBett_ZGg~dm-hNXZ?~HdDS8oD02RPL9231Gvi-$OkG7|amo6u+WH}?X z9&f`7!OYoBw0%p&ylPvG>oiQDf!)(p8;Zrs>i2l8HW#aELstcy>{Y`j?fVYUxBHLO zL1Q*m!B`*KLpontuQ#S-mx~j+wAbhP%egm(Ij^!MO!{BRuzq?-w>ROwX{o!xKDi3b zu`1yAb>B18b9aM`zMJPu{oZS}c*~&kzq?}_R%EnUH5jT$4)2C9`=_@P&0D0!ZO0GE z^2^v1FDERWZM)X{Tn1e}U4E_4x_(Cs#0Ct*%ztj4o{n4J<{5aq^aUBxi_EkBI6lsp z?p-_|?5{29PdF;fTzUw+|9xK4A1hT_nelagJKx8s^ZUjpFUXJbve6(PeHnv$bGmygFc}w&7@$7fzCrVPdLITaRsA-w)Z4f!M1OVb zq6vP{85@Y#e}F`OePKiUnnQMRxh3TH`r@k1G`v+-wM%k-aQX#hzT3z9@qWAMjg3kC z{^y5hZQgP1-R}An+pqeSmd|K+=E3{E{_%dh{U{TW7=xvX)14pT_x=#b`^nh+{ru%& z>}~iJZSIVKNhIs7n&mO~{Y>cZ{+5t$aNe#=)?3cQZnym6gOlq+Dt4COYrEiU`Cn;1 z*Zq7{>X01WMRLp2>WYYwVvwKHq*j*hU+FA8^s_&g$uEe186vRB4Y2F-gE=k&5>ox9 zn5XQ@k)HPPp6YWB!9fdGLHU~2U;dmBvKN6XwnL1C<^Enkz|~8A!H;GeeI#J-g~^GK zCt_G6D#uJJR8t?GXQeG{q*z&!eS=gc$|`6gVQco*WHrr8ue%@ zw-J|j@O$ZLl8biLAC^jF)uWcO;v$x8?NzYJ^$Ax?@pv+CiwtoO6ObPgyX=(Zf0;Cy zph`emr5~iiH@2iX?PMkNTxiSE4du;^&Q?a48J_f11(c|?$0^%-6n9Q;a(KhZAe3t2 z!;haUm94LxN(&h5~v`qRjNp=EGo^~t1e z;&bP$8!*Lio4$*{9LbE0V-(_xGa^wk8)n)td!V9ZD1CG7f=E5uA(KgrG(PlDdZ0Nb zQ1#WsbqA9)lrtI{Hu(yW;MUf3L2~I%tNZtX)Jn} zp2!nMEmLC?noPdBH z;!j`?!lI|GJ0WoW7ecfQRaBq_{9hnqL1tL3tTUo*=5Tx>t6ao1st05=?5;wn`4Tri zk}l@w9wJe+D|q~QUiToj+ZuEf&!ad!UC2)KFxK+CRgT_v{9|-VDd$1 zDC1!WyRTFk;AaS-5cOhO-V9(cfc5yG*P@N)#3O@JxRm!3>BuyIaS)+f?6QoG)Z}QW zgcB_uFA83lB52M34-m28Yq(-`&()^bNLm>x+~9%N~ED zX+$NFv`CFjG~=b(Q(<)=m_$k(W_3zO>O&yuksX8!5t$QSE-og7fzh;)#M8x)XfVr& z)R$lRyMM-_DDrYf_HxGZe0FJ;U0X;w2eQbrnb6H_;J}l=(dC|L1r7@+vZW)_@ZxQb zyQd?w5YRyJVeR+~YMK$%IA7D?9v zWq*DRk7~5sgRM-i<;K``L7P!lPyYLPj{LlkHw1Y z!nHSqhssa{p=glhvBg9J+-k%3U~ERZ0n`>{Wi_bY(>ii ziG@MKRU7Y!2ex^V+p(1nC5S{$5rbU>Ak(eIR)|v5Rr$q`JG=h2zsA*CC z=@EEXf|9+kbX{4USx#=HP^s#Y0)MJLw=OeA|5|fXNo1kwFT57`!_E>@Clfg1h0y5q z&#u%#CvhNBgWoE4OcDm2Kj9X%ev5*#4T)W?^@Jx|oC+7|*2;f54%A_1kp~W~W4QoE z4}Z@P43)>x67rWIVGJFL3Xx44Ad@gc85zgW+?A0PK?pJw!Jkm_RulMYTOO4icnh<5 zqTHD}un{X9sdaxBw3xcnbWk3uU!6xc@P`I1@Gywfk?iL29(6GZ|8UcX*8?j?Gg+RC1@ktQ@6lUHp9j=Jf{rov#Yf9!C z72X&DPOYM0Q#1@2&=Z6+$HX~$J~3X9(L>LXnnG}?U+ViUWam*>Q%J{+lL$>nPskw+ z9Dds~&=_vA-;?wcduun%wGk!sq;PL8((qfbqvIEH6;}eOs29(`So7@P;|KkBN#^00 zl4g!riN`tuY8MXoe)5KE*f5$Fos|JnsS2DLV(>e698V53$3#0}yH9SMZzNE7BSSHw zezYbTO5(yZ$*!nng{9|9r+qKH`%Mo7>)jaD#&90KhobUv4(_;lh}31Id>0I&&c z!Ot_G>#Yx9XzY5lVOYB6EhsLuv}q^M!whAHgw`83?CKjt(MSxgf&?_D z;cTm4LdFOiqEWOtsVgm^c)UL;*-M=`xn4wsMo4tl^!} z3wp;3si1vO z0y_@2d+v|V(s@tGyY6*KS`Zv+i%M01`dq9>kE}?pd%gC%Fg19Qt*xZdG>B;{+t+ye znAPoZNlxUkPLR3|LgS3Np1F&9xkiURF*7?2 ztkr|wSV7!qJM4>BN%{*^Y3F;~CCKJZU@g+6v|)R&}QVfK=NflMXNmYGk` z07x3|jL2=RA5}<8yCDH01R82-X=uRLZ4P_B4%a181Yk`U3$y;6siKpafRAO{k~FdWdB^&JoqoJfFe6^ zL>ezVCuT+QkRr_zI?2x-ZN=B{LsAZo4(Id@3W5;M5r%+S22yj2^u{Y^M9Et{oqs?py7l1lR?}L z5B&xPg#q48WaXP)MhxZ`S9BKPyYfz*GPY(=WE>q(l(Kbfuw4|uz!Im$q*5X3)1sKY?_Agj< zK$s#P_}M%K#6hNpXysJ|Y>&1p=?T;Ra*zlvt>+Hf5#t?icBHXZ{kpgfLw_SG6615` zed&o(WP{rm7ixYN#`7u9g|1;{y0L!ATdOdHgEth$SYIT?)WyD@%N@6K`qZg|72i(r z#bmy>Mi_#PSZmcWyH{=Y!>dBQ^5Hj_PtT~ zm!AADRkLnkModH5e?Zt07ROQsu(p}U0+FQTdx?33z7+I3t%KUfva;b@ybUIYlCe&g7#kLnLmF$B`px! z5EUtf2FHgK)mEUMQ@Rs?)h3X8-ax5)3LQ~z3IWucZ zB5?b}`T3ifzmTJ~O+cEI1|A@}9zZ93y0FWTbVi#*qX-~FM# z0|%h(99mGH;G}t~U$JHsi|h>TMQXhx6s`IShkFwuwRytPM92=g|z`Iy+x4+1xkM!Wj5Eb^1V8 zRlxEv+B#uJ>11l9J>$O3k(p#ud(f=hSI&>V@G-7sPp?qcn8>c!S` zR(Ll0>bTIUx<1z{->PdoE2tKD9ioRp-u2SGGIN zXL4r%MtlQyO*eC&NI?kD)voOQ5x7DkCiH5AgwJdD)eQ0E4n`Sr*V;jEC;jetax(VD z7%q*-54$I&6+w2Ffj`0*l;b;)saZoKU3Qq4bL~c$(}InVUHh1q-F}`ecI*(L?dkzp z8Orr)qQ?QqJSH|w@z;7aacaD;VOgY{PAa{L8?=cH@QcVb0yQRs0yRG>Xag<-Du15} z)M!aG!#8C)8lqKTEpHmU&_Hfw4!^;ge#ED_f8tZzM|^_&h)-T1;gpA-gyhE_>b4qq z>S+nIxU)%8%{uspp5VaQ?Hn;*i+h&V)ph8^r}77kf4>TKu|%`UNA?0qr9S+pSSS3yoa7R=Kn7Pf41<$GUl@Ya=le(tfPFdIL$>`+&#roY37@kH|#2Jj!=@9VF7ngXg6t5BO-6r$2$=J|`lywm1kQ9pzs29krrwG|DB+jklM<3vqd9o@A@9X+_X3OguCax9Z1kCpqobLf z1VBo-mm5j~V9F@P9JqFIlvDHC9e>0TOz+5Pbb36_%?#Nr~C;0R}q8eh9+HWs?hYn#Rh5 z$s)Wks#$H!HV-~B5++&yTAIijYxwZ2sQm$^y58yO;e(`%Kl zoRL%%hK&1ST1ht9TCqxdDOwbH&ayk57pvUml{nAcoLqm`Cq5=}tZ~UMxLM)w(@!nC zl3mI#^dgpQgnKmykNb2=B6>YXVS(*vxV@#2>~d#xK6#h(<+`TgROIbXG{;ai4<#?r z`rxdZZ0QIJsaUyWwYxVHMDxg^JH7y;-J24>;2A`%Lw@Tomp^wAfy;6?Q(-e4EEu6x zahm#{62U&OZT(ZwT?xj$l1Q+sPsv)*`!FZo>a4)@kMZ`BOPV-ky` zQ`g#tuEX0!QEo9oj^fQ2g<4?is7Kn*+%*~o+Zv=p7;($)^@K0LUHJ7P=-;->^iTO= ztWBbA>wRe{c4TwX5HkeCkh3Lr2)_*V;E7+L>7W@uTLVP=bIJ}Ids3&XPFk6wsG7>7 z=xbrV>l*#INE1iAOcVd{@gQEc46w<3`N7tpI%HZ&AKlsyZW!x>q%{x0>c%y5*J^tAeWz#d?S($Jt++SMF@eji&nMKEP+`J**PduQ zLFU@!i7iEEBd+Rrg9VkchG5@hC90I=Sebe7$I}vhkj&b&)4h9@kwXPx@=S;E$()h= z6N5I19#R2ZfX{aexkU{xp2cX3M#Z7O2y^~BQc9R0%5jm_Xntf$6gq%$CR<;FiK32; ztmo>kEQ;A}i;gNWGi)$a)wH#+)Dg!O!yR&Z7Y6!J(}CoFMi@3YZERoHV(=bb3|3$P zr7*!jovy~+yQ{zn*OQ%jI}a@5m-e$LB%sk2(^qGHVz(if_Ix#~vi}iTEv*ZdC}EHY z(q>@T-i+#$sf$_vN&?MT*CRZdqspsJ7-ReCc(}wV)ees~0%9bH7z!7y4w;cu93qB4 zJPk6kI?R-*0z&44@$8s%z?Z9U)Z!3m4l$%eDJCh9aVI13txuH(YcMn(Vzz{_W*Ps& zY}u%G!u*Vh!ZU=3N#GfTrVGU)v+d=V?5I^HW2C1Z66L`P3WsBbNZHnu17Act5qVTq zaB3&+0O3$}-DwG>XMuuJp>B_9*969XE$uAsn;Vf7t?fBg=JONZ12`1dp%;bYp_|*D zYX%w8g&hfT;-X2)j_A}P!Wf;7@Ed;;RYCz!#G%Oees(qerYfS@W*=iPwt9O`@!_QgZ7lP~VDflcoppXlr-@x03Es2P&v608BWpKW)$(6q#O7Kc42OU8vA?+Ux zgx}}9VT=O);*N40MVL!SZ*XM@d#d`i(Zz!;5EdCgF^uDhijCL_7yKWufEu)uh|RUW zpff~ot${3__{I#1<4p8c#}5JdFz5omF+QPUhY1tXy7lD2$Fuc7bsUJmJe7Lto4cc8 zmuIi_X+jN-mSD=}{-#P1j+ajQ_mO1`ph(pWb)r@p${cNBRHLe8E*Bl@zz6Ob>cTB< zYs&n0?0L24c7Q{hKxP`TcD|;twRF6P|9Zy9h#eES-s=5t`;~TrjJ4|%3e`NdKbM4S zPw3RN|7m-}8xgxy92L8D024gZ!8W9x>rSkHTMrY#C`6^W7e%FLB2iu-Yd9}ldkKgh zd9h*{Zo{a=9bG0fBvd4(lYz1c=AmtlH#ZC>A2f_okxWY&XF1~>4|sL`z#3ju2jb^H zY3jIGUf&?CVmBx;m|sV9pUZ|HOuPT4-9OdkByA4a#x9t4lW8dI_kCmwVbt)@`oJ4M zb2>7k0J@8oOK<8>cWpUJJBg`Zw3MLQFPf>Vt6rJtS6#caqHa%pJ9`e)+Wc@o==JqZ zKFYk1fS1?gm@rEoHmF$H zBwS2hmY;PMikH{@Lnv1LTG@F!>DoP?63tcpN=ImZOT%*A)#QMOKGLTr+%XiLQ!Ibl z?mwb87`%P=0w9aSVlR9MNXWZt?S5{g?Y$IjJ;UcU_1=rk=kT>=8x-Hxezmy%AsP{8 zM2K&Q@9WDt_oXcwX|zn^aa#FNU(Sp5OD_lsa|pHuukm|vliHWyCfN5v=zhLL zk;I)R;MSVy6SiT=uKU%`5fAluxLxr-RlvbrQ_VwK93kQcl)FzqHOzMdZQ-` z9Cp4XG~acask2`3%mmH;lbjFIM?rMRObE@{+&+~k^)HbC%Fezo_aRHaxLw$=5k%1a zTo|x^h{f=l%1T(Qs^>;o1dl4%dmqIYW5q8OVEN+}!bS_c8N?Km)-M^kMpU>byH>n} zZLlZ_45k;Fb36ym@W#t|{MXBrsCj?U?ZBKyrIb$s*c80Oy$YcX-h zq?!R8z4eX?MUshxFcSzqY`@x{kzpxc!kQ{YSvht;6q_`ilXAynBZ+{pqsM1hUZvJ; zh?-N;D{m$0S-Y7Y2(gPnBbgp;L>~ozO|{(D_SWP7QUDcZ;q2cNY?d-TZ1%B}@HpV= zYD_c2KN(gZ!SG&S4ED$bn$P$E^3#JY^w>J?AiG-brI5?W&Co^Q8Mm9J>6E8rm*r;1eE4&JOa;`A+!0)^eI!YBWzfJtg%i< zSb#z)7Bu9c_4Pb92W>}6=+qWlTd!q;0nz+3+@)Jjd)%>+*a-K+NxWtEe=uOQikpBX z55n6CiLWM3_Z-7{$f$H21a{vg`$jbnwm-84p*jwg6GYn`Zzj+`tOR6jB-K_%v93hi z2F>7j1gIFuLutYZoBgvJH6rtsk^70AgsM(e(0q-)Q#@r(i%xCiGobK@3P5#4D4Bqw z{NhW@3p2}|bdWoc7u7Y8_v;e}fXRgpV9QTx;pJW89|xk1Ka1x$;yk!E+w0pBn*gYaYOc#NR6{cll@y|6!3D)u1R;4|EtsJf+u0{>1cSCAc?ES3A-5J+^3vB9nAP^w*d=YVciON0Pj|chCbCA#3wos?7GICg(Z)^3wr4}QAT^He`-t+EB5nV{ z7F^67`ww&s5ml|l-p74J2TmS$4LdIy3Lp65Avl30Mi0!m3aUc=fG{g`KIkN5kjx&D zh|LWoV+pc3ZHvEhc)3Ih4P5$r~1Xuv}|RuI#Gy@neQ>m!VXQA$bm;J(hOfJ z*i)x@iqG7WS%+#S0iR@;KrbGfIiO;$Yg?i#ZO0tg8L$at$TUoA)-n{EsC$d z6R=`)f|GAZ{f(jqAaF*ILy)AkaNt7%m1wqW(?VxXoXaTjR~&mnF;p$EH&hP#`F$PPgCm*UXJunplf$1=8t6GY3EjnvQd<8p5!6#Y zle-6Xkd7`PjdG?wa|>k(JrUPwlg`t76__KnmqJ%#_g(9p2cRq)1u4Q2jD3qCWjISw zEc(Wu_LG%|?BNzU`?W0J0(?kTBB8>6Nde31@bubKx7dcv7+DGB(7!Ev#cP1G+@V31 zgayw&i>`az3t8EdbxWW?Uai2GnM9#ds{-PTO2%FWs^i<>7hp1f#Ys3wFO0fIuaB(| zE9fnD;h2&DqRUhLfP8o6y@CosF|I&8<*eQeGCd4!jembP{#n z5#+R^C`K5_AizC8@76=9PyV)dC7|4%oV82uhBO|UkpM+xg%pI!q1qR+k6NMr{m>Zq zG?~h8daj4MV4gvm2{?qdiix^;|s*Kk3R|Y(PX_?D1=;PcZA)>JG zUF>K`IE`woF5lb*jrhl*m35N-@v(*#c35eO4=3B8mV-JhD>9XhUfK*+Aw^gkdf_%T z>cta?3dqs8gB(h@RR0`|JM8be;)JG|%EaS4`UTNFWc(Gi!AKV=G(_b)vJ|AV~ z0*yjeOk@=FNzaH1kJ$sE6BbSqA5iexM_bl0jNC_JT>JWi;EMAzfKZiQIFpSje8%Nt zED~wQQdIM+cxEFCq8ta$DP@^IGAAVTntnxn3=pzvDpN>=wROxd#VA(BdB{E650OST z;jzg^n!t4>0lSPzM<%3f#=UjtIN#PN=&Q?F&YaVw5drzvTh10iRH z3ZXbzH^@PIgae@%^P{NDys0cTEA=v&^OwBEJra<5tWfl4%r^GntkXhHC_m zS#~7Mw$u$Kr6&K+apWY-aks`qCanC`ikBD5f1SwIN!02GD`*i4`t$eFpQVaIIjE9V z&owy)SL+%$63{~L!b}-E9(Z)&0sUL>b&bIoag|i;;L!e5@K}cb?}N^l+)VD=_)xG6 z8o&Y;umK;mwNSVJgN_Y{57w+-Q#t_EIHWg}m3})YptW%SzYYYg*B2R-atLLvw~C0; zk&a)WnA`Sex!HpxElRrS(%Uv1LldpxcF75>s}FBkLf$xtPlLk2L}^mOI=T}CcYUO& za%EFe8UX-spiD8gP&|ZYkjDWy#6FQ&@q**?ih^XtBrCtH-o}hdi=o;gRNXBr&aH}Q zHu1AcSgtsg_qddl(oN?Tu^lP)e;!>m(fG%2&XYO(0N-Ul+{W_5ZLalKO!rc?HWrOT z&+-<@5Vm}@u0M`wXkNCRgs)#q1RjXV{W#ouk_}MSy*b?OwU@3IG+8^Nze2xi82f<) zlD|W98AK;zlou}yXc$WjT`BP$FDxr2t-Je@Gjo@*F4m)Ch6yF4yv@-V!W z*XpE`;5z+Y_Ee7PCbW)1Iyocr_2qDL>*KXalJVqd!UI(goqXydGlIS0o=sd|XC|hOK+DIupm!kH$I5N1HZ0 zT+rO`@iTj}s!&usf#Cl4ur{G#O!c?S=c5Eo+m%%X;HJD5OV6DH_jvYy5;`BoxaA{P z4^im-PvYcLHzD85hYhZA2GJ62cmKBWPohE?kEG(W5S#9cRfRvD+mK12hB4RqUj^Xh zNAIb6M!N?8rp0tNue)2b>yoGc8bWagSc8 z{ESdX#9la=+ibbHUh$)vcaIMB+ih97f01A{A=@3tFxje}K(&=i`==;{d9wvA^!Ddy z3vX^C&wUrksgpSzxwlW9x+B$Jc)+i|z%HDdq&2x2jmshtSKLuWCkr-j);a~K-+;Op zG_?omJqCO-Y=CKS=FFCO5sVN`Q1ydEo2eHoB_pyyR*MozRl8mkaA z+>F06dnofez6h5%pM&(Y%^0Q#Fo1*J5XdiMi;_8QUCW9(E~4J}T2>m$V+)|QZ04)d z(%DB5k4B`Jeg2`}rd(be>HHMnsRounF5I;Qu5bR4XPR9-!_ehgknL@ksdoSA9Q-?ayEdp#O5%D2oCg}adWu52U?~*De}8GCtlNk>75Eg#UAVKb#?&L5s=2R{AAt;3|qJGPOh6~kzGK}94m{y zVK!+qQG?F3ik@uP>Xf$1TpKO*$@rjlduMhP&nWaNwq$nkn)01M$q&Q5-&57(=er0N z?3oGPKRA|32?W_8HVu8|Wqq~_vHR_=02nn206hJQ0`=q!8P^O2EVz}(62UV<9Hcw1NG1YEcEIhfIA>|PK{Qc*PvD6R?GHmzD11^dX_6AEc z6c=3d;n9*b1drkT#gg=|@`@|oATyJnddhOrfVo{ol&oG0V#Y3VRoAfBDcmKH!>QuiPt6@HbAa5X50*)mX9C`d}JUpg0*+XQv zOMbi}v;k_#u4sP=N0*_PF-kC#H1Ch3qri%3iALxWa200l3a#GJWvnaGbs2?SfD8r~ zVz6qJb#?DLkCj93d!Go32F*;Jp?kn2+i5y8j!2hF2p&_CZ^$9^wbSCGW&EO9EO>PF zjI=7aotR7er-1(AtVg|@ud7V31Oah3BDBIE^)e|6PM z(dLW)&A&)b*ZGS6dJ7sj1ml{@*NXm6^10t}xKSyK3L&nY`^?A9 z-7u`_9*u4TM@d3zwCT)GF<=EYcdeW(tJg%~FF6EmyQUcgSC1o;P;%~FW>a>)sXvhq z%5*b6P&+Vx@CqNKfCls{hJ&e()~xR%b*ZBrLvf7RFXAM@N*SU;My4tCeHo6Yz z>SmIvLx-7NC*8cIM?8eiu6o6z58Zd{^yPsWN@QtWrR(UskC$H_xa|?|v%thtaDoAD z>5ix6O5|nb9jrkn%b>=kENt29e$?Q*lUgLS875eO62K@2bq25xa6n8eD&X42MCXzG zVJ(kE@A|Jr35v|B}W47tcIyR$%VnOMqdNJhr6|R6Dq}w z6!LFb#-SH--A|>Qgy$fpUl5vSY9K&D4Q*@n`;*dl9T}q7+=XxDyxB<@RXDj0+`fG*`$~HO zw>&x5!jckh6VtQ7*ag4#@;(^?P!i8V&w|k8V7eKCA762OaVkoyVcM^ZLkt^Lc4LoO zRdll~Nvhn!gVCPX)Lqq}y0y){(LXx`RGhY}L6MP8yYHs2!keBg4~sl)AWWW9T3gTE z-R+aVmRt$E0!MkmPXkTJm?i{Xf1^vtT`pqp-IQi#gfEiwOq~@J%ER!z9szY80=7)F zH;;9jo0NFq|KtkT+7^(D2Y^#$!FYLcLYvr#LC7+6&WMRFJz_d?ecD)ok-B}n;p#>Q zm`}D6e@t)_9n|-alZC0{uTBd^3H3#q&#+i9frx$ms?m;GL)t%FSFn};QLu*B*lI#2 z|5w3so%&f7*^jSr$>wW2PQ!DOq9S72eMN0Ia8P&-nc4tOh;!6uwdAbRY(=+cy zqb1ka1b_3{z(=e1Xhv^cZDx}%eLnZYP`TB!bjPcr#8w;Vh(r1VZbly0B+Pr0+Rv%0k0 zfi@c?x?7_jbjnD`8gT@p|Eh?M5P{fXtPUb9)Iak(a=E0;W*0lZVP7+fY@#q#>^smk zpgV-aEgsyi0l%%3dHuZUbxF9ovzz^hBo2zrm}`R3p&alC~ggHu~bXk}Vwf%-q z@iEd^AEKaPixltsq+z8!7y{$ebXCpkM zjj?cBwP+5ZlVB~*Ucrn6l2_ndF@Z7R%2ypxs)w0E!G>5sy(t-7KZL1(wJo$8;FiIT z>09`fA!oUH@N+4)G^S z1r`fkKs(o{?OtnL+jrun4`r zurSp_tMDJ^f7Y(JrTq_6=-7pOs_Za$FWVdVU$0NEo~cWH)-GguVlyas;x#CMa_t%- z81s%U*FLb8>of7@(vn&y#Bo@Ol;%#GEh=e+LD?E1q>(bQ&<&?Z3toEixf!4Wb+EY? zX32uQdO#zeMeooJZe@ni;ku)TsfYGBW*eY-aWIA?<-S9GY#9c_E?A%8xm?%E9P#HW!5}Bd9aNqovCoo;=woUoTPPe8 zA9q0LJT&6~);zDFX9vMpLexYKHd;?=HAP*RHmnTE?A5$$8}P+?X%>dE`QmB zXr<2%tZO0TR9Dy?>e_MP?*8Kr|99;Oe~KbQ5VRu0>9Qts=M%~g+kTjtU9XQV$r^0z zi8wR*`-9ARXl!|0(CS3Ira3lrr6G3j6Uuc;GiPqJbawLtHmwwH^0yd~x{^%Ss}<+} zTeW{s|59$u>erCVm9QDy1FT-Df2yuU^QM5wSKJ(@!U(ziMm6!V4+%E?yELK0*rSzB z7dd%*5%Qs}ZE0bmEGIwqc2iS?^p8~;C$!rNVmiw_Et)5vDC3+|9T zOx9WSgUNQ4mpXF2(D(<(7|S26a&Y`-d0NVcx8BK{O8wf|6zNh!st-ANHtk-13X#9( zI>olytCL!2r6^70)%aXG-%8Qj+)9CA;Vdyk>nu@JHjYyY)1^w57}pYl#Hvg<7v!r< z2xRPOP?72nfiSk%!vy4;@+VDwcCgkyt#TqWJGIj*)D{Ok>F#wj(~!$79d(6aI3%61 zR9rpI5N`_g!;?Ftw1Oi^hgzH<6O0UE1@vOMqxqm1=UVhYom0aB{g&(MKk(j#m}X?DD09tiOFLRYX|f7kt(vhzwQ&*I~ZsQy3=on-jC8PERNDZx$9~&aoC* zw7`f1H}?jpuD0Q=u~KWOX@9nz>8E5QXr_LMkRROE4v{4^$kq6Ncl^c}>4<*(f}JyH zGF*^{Q6AJ*Z_l1;MFu|T0BzRvNJMA@p83s%Oq0|P-Jj^qMU(mO^JuA{VG{?Bu~BVD zDRb(3sBNoB9!V~6WV`ddgTT)nfVYeGaf^r058X5R3(}itk^Laqc@wF`KY$Y7@5z&> zd*|i!DKJ}o=|AW|Rq?guvpRQ(o#WqM+yc4fd#*UW$nYX)Lu8H_MCgzRtQ`v64EdNq zF=tX5aL6@KN8(GG6)sSX0r{Tz6Ae6m#cefSC;0_4a zC3NnvpB_trFhyu@{sg!Pz;sy{hL~+}Kv=EM<0fN`IFA^QgcKvbg%@5pOr>^sl>E3?qk%h~e^_wWz#SDpSzDhWnG$K5N3wGt z0~b5}rdM%-?+4O+?HR0j2-sJng={g@BnJ54y;M_PzGb3;i%)nky6{=_rJCI13aNDn z+0D{~i^s<|dODEtco)@ux&}K)SXtnr;zwkACS5%K7Y-Pvf53sNP1q87_(sM~dp@a< zs4K9ZT4)m=Zyz2%(RO+MIffv28vfBTnA7uVMBN7kNVxqyz%+OZHU&c;!Y=x%gBHn} z2YE|6<--O#J92IQ9pjAbS@G#ynZc?bW#RxHxkUk@9du38_u}zdFu58mj;QtrYN5k}TYjD07&BxH?{Eu!qZNhm{P85&zM3QeNEqwn{h-ygsK z?z!jOd(J)gzMuDX&g1cXCs4MQDg3M=`5546m|KWR1Vzp^7mzFYbboZAnj_-~;9(Zm zO5_zQUhBE-plstKIQ|!y7li{zkdbazRcp;&9k)havBV%Z$Uui#!WO0)eNbmq8eG`R z+3D@VT$I?#R6*vI$JnB>e4H!UOe{rFZH zcIV7W7N<#e9i!00BG#g?iBi48qRMUl5CZKX3p%<gX1C1~l#2_j*1TI#Q5Y>Gt-_W?=T-Oqkc1(?Xk$mlIkie4&{kC8Gq5LH3mXN%N# zJ;oKK4|4ZO!cyR|FSG=L>kPbMXKr8XoF5Z^*m7081POWLeMwvce!xerP*SI;KRxVI7_kA@EC5E*qy!g#6OZ=7{;}wlF6O(0&|;Yma%Nd|x=NZ6 z_3B%F{<|3mKx<_|-_>!FqFzPdp%D&g-TIxJKS}G7MzJAj)u$FCWf-Q>ZrJg;FIkBy zycqq&!z(z=gZuvE@Y&K#6@ZMfJFj(NGM$hrKO9K<`iib_{@hZS;=?*+v%g!4|4d}}Xn^lC}S7b4^0Zk^$AhSLtfd%qD}JIM<6;XfC3 z_e&is&B`lek{e{b9krh8-B_-v&}OdQWkmS&tTvh3YLQ% z(uB*jhNv6o`372kN4Xs1*IjU?&B(#kT-2WMdaMa-nKj4~24o8*X*58KKLTff7D8>4 zTq+CQWuu8>;(#Ocm2ww&rf>GsYPc{fiA#;qJjPV~a=61Zmif7vfvP`q{0;n=etHBG z69B4tLF)^oTrn}|DdgU`T(aR;xPT#rr%Zs~WvS~*@kXTqV7yD1rffDXFWvT&beZVV zRG(M+=7q(OI8NrF4M#7Ljt6&XskJ1DbHQRx1yOXc{1OAKeKx3AwuB$gsNESJuXr@P;yM9wo6zokQNoUhZ2Y}?>m?e-a^U?1XYsB>W ziz_WTBus^rv#Zz(4J^QK#S(!Ykby{r1X6c3`kq$|OqntWDTK*`2WNwp&q%709@1f# z|Eh?}zP3W6vmd)q`V;T4yYw~di@=)`gvdulVHTvwb&Ym1sOT48p~`Kq%@3MfhIikV zDS42$80^-K$U#AOFo49=oY|w1(=-%Pyu?mxn-$whz1Li)gWZ{l6W+(Kv%iuQP~Mp4 zNfG)k+n`LwIQoqPe8=R|l4J_Q!f4L&v1FU){$MbmZL%*NV=6{*zcVP8Z_a$% zXZ!hQ$j!*fWm~1}hL78xo{9R=#e1JwW$B@39NsuW*hMCN6AYJs5AFA0B~}1y)_Q%6 z*%dqLQY$b7v)M?=`yM^qehHJX_09VH0Sp;|igkPu9oxbDuHrT;pqjObw^QaXS(E zuHZ~{T1e_fX$hpG&GIWFm)!gAYe>*{DRW(TiHYAiA7I%TcqTmMtqLqfpo}|~GyO^q z=R&$>g#00}5yTCwc}T}P{5KYvhEKmu4{h<9T1(<}A{Z*xEs2Dm)ngRj$sVNOKO&s=vYtl8TfJV&p!pn5RoOZ8MM`-Er7@Gc2fZ`g0tJ+0k3+VcVsh%0J4tFdkA;0r!l+HA4w{%WOO4(MZs>_PjRlDR? z!hVTr93RBbtK;GBiOq9~-lXo+s`s}1NgNozS8*dIe|IWy6NxaXki;Qhu2A|m5t%jQ zxlcx4=;f6-x>-ks=%S9_Z8`Xt_q^1somxh49QcJ~n3C#0>h^s(lRXW>H;ka&6ug;n z^HVD@HGEutg?`3MdwgTt@Lqb=XzWT)21DMlMBh&e2`^+!7Z;D-cSeQj`FkXkML(fHuC+>~+cf14s)nIe<< zNxSk*Y1Y*D(mETWj&qN#`o(oOj0fV{5)TlR@@$}6(n$on0O*zdr1)}Ai=m*IB>>Zt zlL%1jyF1h!{|eG*wDC!iI<9rdf?7x(QcJio4k}ozHJ{REDy7R~u*%M63uoj_imwxb zS=lDFx3)3VJOw{Mmnqi8m*;_Ox_5zs-Zq0R*AW|VH3NcpmF;>y-x{5=Q&vIT*>fho znGo-^C2qsmYSxX>PQlL?N_&{|ykg4dv^pN9kH<+Yu$R7tJjWox4 zdm%3R3Isi>=DUU2mq<0k%E!(o-Wuox0F|7w1j5(B1*tQLa7!pEx@Y6;k%X+xl&dph z`d+K%*NTalkeT#pD{`{i&D)fWo#JojiPX6{J}$1NHpkkN;ozP9Gr(Kco$n+6$lpU8 zqvPjw+9jWI^N8-(d~5bsf@;oDjCvM>*HY4^jc1~Z;&l0J5tNAG;`FgRX971Jr=kGz z=mGvM3kS|7@hvqqWXy2~I7%Y!D+|lPR>1Y~0{=RefehV)Jru$VGFF7qJv!d89PD_L z=X_9He(z6?fgx8cOKmf?S~<>y8==}JgV3xHkyD}eAGmVZqyUgB8WzQ&Y(83=INd!e zLH^jDy>Im@bNFsD>ECy4DwdlZO)(aB(xCFnPZzG-HD`%%PTb)iix9q)S^b;FBi$Qm z8+Iv^zbsFqV6-!|m6x$Dt9IOOlQ;uU$yOR`})1eN=h=R7gLnd-jG zd|esMN?FxO`ex^L;PjES~BC zGX8~^UJ>?}IaGDHV#Q3^mT2adhC0_~o$33>ff6S=(d<+zq|p-8tO7YgIzyuEjQMPoH7{FOlGpQn%=|1 z4ki5*tewgMHk!s@*cHw*-oI#fbYbwOfNKStpE8465W$rI3)#)9q%gM?g|lLyjeV`XOGYVae#Ngv+2yP;*!hl{r>UG-u>KwYdJN+qU-y$ z_sPQkmckdmc%-NM(z#@V;=P9h)pD{P$w9}dKsUN3pZJ8~DSwV8K?&&Pg?W5WVqeVR zcnq^Gp#UH68lgLzgs&%uYmbgwLcwnnJb$_Mi8|z8Y&q*cjeYe@Bo-13ILQqaG#OpvEpPw4 zd7XGIx`{GJRyRrA68H$1Te^&u3OFZfrF8}I4Kkods$G`o< z&-3%*=i61YrtA7eWlrQ*p^t#~LQR+T6Kj2+Th?L3?h0@3_MUTfg4X+@-HDFJ)@sfx zS!MTiMNM_1P)DK9j{y6GgSN&Y<-iYcg8O0Kvn$)JZdG~RY00>?T$}aE6|k0G_EmC= z?jP3!?~aN~ih-RypI0uoZnu1Z?Wl9dJ5jFDhp2Z)&m(-!-G>psWo2GInfVQXAgfpl zrjSr~;B(w>i1RseHcQ?6!}8(GVc@K@PWIT20Z~GN44-Zuj)_x+3!VA*ZUg@O$3GaM zTobgXA~RP@RH@^)$E2Bls#;E@!S^8(htIf`PbL}QDtsxsn)jXsy!pM~`Q83f%jcE# zNx$sz^LYfDN#`N?~B-9577qD%fn`8RhoL@ii<^7smHNd8U zdxg(9f^za*QHSp{z<^||I-gXR6adoP83v8x)y#TqdKrWvYs`-HA zC!!xN=rt>;Ls7_!=nVUO-2d1BpYuJb+Vdd}eC^@7Y$J?NEibU6PD<6AP%&{Pu%h0&+<~XNRerJvP&mH{bo?}7M zTwE}Bz%5W`)coHbU}1+M{rhc*di<#b`--A$1bAKqK0fvbI(PK~IyFzH&0JHKi}s8yxoR^fb0y*ytnJC8TCIG z&ju-<38Ei>Un;1S_{bLEP9Dt z7`EKJO)O4?@G5ANdPKfWYN`djSYLXGgoSdV3< zWve>m+YR7trPlST&*n))xvCjAz#S1!)oJl+h=l|z&=Vw7y#zB(5_kUD5`hPa1uNe>C!b}Ne5Ce0=& zQ{YzV1}Sk&aj8$cSnwR4Mx6_o311oGqgLxd|b&jtFWMj}etb zs_oZsC|j1iGW<4YIytxd+M3!TGjTu!i+qhYI(*iV%7CR5k{2e5Pi3>Qx`F(H z3`VWGU%g`O-6(+xm7$Cav4j3#hAqy8-YWeW#yMGhXoiqVCMUKjY})sfy0gH6q!%n3 z0wFGz1^NLJssl}|WI=?LB7%(GFa|KfD#CBX%h`yd(7O7z$^lwk=s!JaLxE850TV|E z9!8jM6?_Q(mZp00yXFTMsTIRAC6o{SZ@*<~dz z(Q?0B_Bl#Y!x)hfCk-wBgyb<56n?iL8cckQ+_K;%MMVJ^n7ZXS(l)Xft7>-auH1_E z(-p;Ok(VhRP~ECn})acAT-xyAnIns6?F!D7Gc zV07l zQ+qsb5nFS5#$VhUVl8Rvr9!{mXnc<+OJid1ja}fQ%?Cs>&`Fsp4p#UF;81SOvXNcH zw$cKuTjWTDnqD(?L?qKlEN!liNJ3*P5Rmt3hraODD)A7Kj5L((6XU~b3GrF74~Q)X zAtWd2g|zg7rS23eMad%|JD@Cvaw_xx5&FIB0Xc||+&pZhcvT0J0GBb3aXF2IVO#6W zNSS2(gi`nF^>ao{$z2bb5mn6M-2$y@+s*__?sz=J5&DLFAWu?g+`|`O8k5JOeZuc? z{=vlT2rmE^XcsP~xSXU)|1bdpcx{=4q+ytIZeXNeDlCaVV5fKEOxAvBrpjFi7dQp(X2g zB-q94aQ=lwmAi$nzkf`MVxiq41k6{vgYxW6rt4(d)uu=$n$z-%LB%&y9}%QYB^R?j zRVLBkk$s0leRC}=Kt3{rC!_~+F-@Spt02w*5d@S$zmW6R;s&f*AGII&2{ZX1jGM!- z5-1+2_jn3gP2Fk1s0=l3&L=1rVw3{~88R*I^6~jrHoF%B99<29FM`M#WAPlDH|no@QSw+N^InK}IyL}D_dCE5TTVqv&&%HgWNBg} z4so`-W<-=1qDrKD4U^NG9ulWYGE{DqMpsVGX*Mqya*jkgAS zuEbX53#Ce6o8)|uA3u|s#BZ!A84E}DHt8s`(+~u3jS|pYoZ4_t0M89p$Smf56bm@9 z5Meqa1McSZp()??jKEqezQEVF!|X>TYVk7=l7Z0o=zkk+3Ta@|(wl*@SDDdZS?`+K z{`NgaBGRka}X*1Sl!iK#W4xu$y?18#b;|F0v=L|Lw3Nvs!!r-ihFSSAx@ZFVnassoh> zOl^WVdSF8$jTkEJvPnKuQ#KNq?QIKP2L1#IlT@gXDfS23dZj^TS{BKA!J@kgM)7n) zwxuGZbI8R;IRrZ#J!`xe2`iV;DyCkZzNQ266!nOon|RF+5Zk@R#${O?y44{eW+u!@ zSPf25B{_@zqPs>{$JpwTx==%`!z#Z>q$6r9Ei9Y~A;)makZu4{gkSvC_OLO@?*NqI zoG_(}kID9!yxo&W*0y-V4w9K6#xg;Bqj9-LRmL-VBZGT@^>L?WsVqDcr&w)Nhj=0s z7>r4hB7h~Pdo@Z7J{d6?w4Eh>^| z!DRlAMxq0TQlmh$TQdS9X+|{h+qBXht+Tm{R)CdcdO{Fffol#ek&xKJ zJs!o@!C}lYm9yh@Dr;}6<5U@~Ibp_Fo3xvRzSEHl3YM`^m%B~IBKD&Y46lMW3Ll^q zUtvfO%7x2ZZ}KogVvYdoF2O1B63tXeL>M?db5iaqArk)mL~kzAs%{ImrjXv52A>KO zA)~%=R2T9iRuft63RxUxo#iR04y&S4xW8ID0g>kxt`~v@MWB)q(Kd+jt1?o*WSQtu z1t~^Cn4Sl7WtLJ9LAfoRbZ{L3@pqK0o2E;Cl#qLZD&{PdKeTjNBKIUhE^{pKWRQz! z)s5B^P{|jvIV{JzgiWnijEPN8xq`}&vnq4n*$*~!Xx6I-;LdCE5M~{uxu_N1c&>}m2WW*WOO(e zOCt}5fXI-2QgGIwCsX4=>|d$ z0PP{NBCns5fX3#YhCrb-#4Fa4nJ>wd+#$4a3&!*YKPP|v4H~z<@e)St9jcnbA z=>@b3)H;?$d;`>ax@U2Bkebv^0*tDqGvuH?Z&mBH^y2r#ssTu~Kk*@Wugim*&B$eT z8U0DYmUodnq=jy@%`?o+jZ1#IrKKFa5fFm4Bx9WIttXOo+Er3G#I7vB8Hh8LvrYo!ca|6~PHW z7cVrD8X*_%X`!k;phP9YojVsedXLyS0xNA`Ci_Fy-1gsB)%q*I*I$$kb#S2Oxe%!WWaLY+-l%UR{fye?4@d^E<5Cwp}3NV_04Q8-BJPNk_g5matqe zJx3bU85el&qluZGP40$U<(|_-KKNJ;pc{S}qK>$fj9U0j9q{eRx)&#(CpD2`%wIQ= z;?~qsJvX0^9CM2}bt7N%ji4F+UZC;_$=y*?k9&Rt){Z#qgBsLOfA}3e1x&|f zeyhrDKt5KTrUo)=w$On@HnKgKp6De1sK3x5m~jZC*Pi$Us`sPNp|Fr0#AyWi{G(Lk zYh*j+hmBv8+jrk0_{jETM#6vFmjH>W+nv7Sf05yx7nlhb+mOlx^5M3l#5G$gwt=qC zJsFEc~vGS%?;5#XSpHie;^$2h&eu9<(mr-n$kOCOUL(`W0b-7hVk4DpfIg@j%FI(c#hQ zNk`_r&yO;nWG2wY-#YC$R~I96e-FhClGh zabKh`=>x)S`Rl~PhvCs6mweDUs~?L7`JD8VQm~fs3$Dy&2$-`nEL=JVGjH2mhl=1- zVhG4>*+}<(2Joj&KQJclX4ptbWz7_)&Z>?JN=OcM1tda;EbX!7g*EvsoRK9T45x>? zGp1ro=+N3;WuU4sws}Kijlo5bBIxi89~rgHNLWarbcalNmBbuz(X9np8ezQ**u9>k zdb0$a%7xVAVY&!sb9N&EvKk|L>v-%5#A4?n`rv-b;fvNFUt`~dOKs+G*66T<0(o!Y zw*M9~ZJQN{y^KFn+*qLK=fYsWdWFR_7r}<5KGW|4T~JfKCN~ml?F!PW27rP@oNl_q zxN0Gmob>urkf_)KmxH1)!HCw^zsseu_*0HCCS@3Wtw{^hDU6YI3jR^6JGsS>SpNr%oaW*B=?Nxmfa1k1ufUHpzdN= zI=#O8<{O-wpsgMU4JUGwD>!~SsY{Bq!RX^6H@>%8D!7C7!pZdIm@m?jjQ)wX7msh8 zruKHdfk48hMjpoW$>R?*pqBoJ&)?`d%IN>_nMyrBt?FF44CL?kU;g-k{Auh$+w+wo zQ%#|6tF)p8TOrE86y2eP9$BT6G}#0u_W`iAHyx*pOh2{?j`@FWG>VC8QM538M4>GbrP&(6eG zPw>LaK8fbO66yW&tz!I|hu5zsczY(*mOpCZh$S@E=-uwBM$btd0a+}%cEriAUlxsQ zAkySi z+-`1P#pc#ojv0aBJkD8*G&7z>v<4as>+dnKj5&aoxj_e3b5CVwt%v|<;~%82`=F&- zQt|v1hGmGA9Yr3zq|Oi*`EzZpS-y137&4^x=Oi4@w>Yge6WMLd0XJ8j#koQ0w>R)_ z*EXHB5KLD^;j^^_27Zt~hIGaT;)dkGuXM{W;quuAE8?$9=Pq+BqJGkYD z(h+JXZaew0L1h)+O11?FDvvFNMCgrr={B!p`P8*ZD;;ANG}UuD`%OBuD~4>lYam^6 z6?=UruOj9j5Q~W-uG{gFLkWM;N}YA%85ZrSdLQ7)RL9@fA8~VjGuPumCA04FO`mUT zNmreUP4ZBBS-_9SP6IF$kSC9k+~SrA1;88}`5A2631V~H_z9|y84+FXW_WkT0%SE4 z*0P2NT59rMo&mmbJ)?<7c2~+7H99hi7Ew4l96p14@iPeQ9}htsGHa zYCf&Ff1_iZ&j%8u;w@#oBF`ep2=xUvu~O;(5O4{VfIzynfWzj|8{grsnLeG97j>*n zWW0mV?oJ;be3(!EW_wO+IR3}Pw_V%meNJ9Pkxj60KU1QD!ZrPt8Cm2}(hN6LotK&< z<2tt8*9;C2aQdzR0^;Sa3u$=AJR~WD?JjGo^HX1e8mz>~2}Y{1oiwS;ozMvb`4?PW zS``!oY(PbREo66zhx(MgG5t?{bG2y7pL=Ms9>WweKEM$Wio06xa zIQY+7uva<-l%Qt!w74Xe^t2?lI`@p>$|=1IZdP)fn!Y@o@m8%$L*0?q!ZWIAU|Eqo zG_A^(eFI4c%tN$9WteQ%wz@v6d-mj14wPXtPHkx@aBZTsu%v}cziOwM%w8l#an|zj zC6-oIyVFoi7{;_`LQbb*;Cym$;TU?VRE(~@B;@z$@2vFt!3WYmn33gW!B3Yd-U4cL z-2N z;W&~nL6jk9V6qUXK?5*k>b<*&-rDedL1=Gk0*02{+;evJ8uGxMScbW1GF5}UEFQR2 zVS{~Rt$fe}D=?Nj#Q6asc%jJyiw3Kg;2a_zv9b-G*_#P^tuQv)Mz2p<&sZrs)QQ7v z#>EI;$(I4w=3BZhnFpx!ww)yy0^v&dQe2KbNx{X4EmrP3?xo%;#J_>fUvMFj%)g=VvwK>yt zF3JPm{LD8C3PV7GHpn|G)CJ!iiyy%n$uxJ@ScfIG#o-X;QXw3qIh#fj2^(D^0dSW? zgXSX-1OF~s=13W{kw7H!cf+!1Joq9Zmo5qZ|8`L-)8~d8pbv@$W<{2j2D{s7L>C2V z4RJIxKowsL2af9|lOG=(z;z!P$Hj}I?oa}3_C2DDV3Np2NJ-=|B878kJbINOPyxMY zop>S?Pd|LRC$Dm7Gz411>nUQ=l_@jClV$0n$x>y~X3g&tlH7Qz| z>ZGOy2slL|2tk8{v5@OsDh|by>FQk^_DH5@ZPy|!ZtZ(sZRhSgHX2M`f*Y|#&P851 z`7`WWkh9{>FeT9@(Caw|16X5oZ+H3V<=*lbmHD%!l*(0cyc3z?$ujeQ$A=}V2AJAW z#8CIz`U4qSD5r?Y1+rIVz0iRnDUG2ySIDxWcfP;OUbG>K`$|*>Dxs(hXGC=H4JZhZ z$YMDIIOSeh8soKR_F3SUOYhuI7XTJ&n=St2uIGj=PbJ?o0kj=+p=?0UN&S0+Vc@vW zTSI}`=Fl2ZW#)T;o=`frV2j}cI%*}`_03oSn&}f~$Wz1CH^<+=kC?7xlFqYM0jdsx z+9!OCz0CJt6;%cgYv0f6lEsD=J3!vdh2Ahkcwgrxmf960p;?ZamfkhM?%ajU;A&qd zfQHwZdk=^Aefw5XQP)MQs`E#?AyeHm-G&hS(+TfIHy?Q+7AZtVi90o}C> zo$yg+JNm+Y@%Tc0`HPoeqT`9MbI135e!>dOX{*pO5krR`6SWes0k7lc!_%~TkU<#L z*S;0BRB%hHUt*WARruNGf+CHdo;9?ljyUP8Dh+^;P5Z0KYIPlKE-i&sE9*DA!6sBB zI$wU_4rg3P8H9~^opw0p%#@pOo=n6)X}vtmtN}tqRO*yWGHBxRZzlL6)NgU_Mn?$g zvZTrlL)0iNjjSA1qa-6P{7-@F^2T0Pm3`o)7|2M3{52L{IQVZ76x)af=~&u5g)>jxA3%5GjOlf#8m+4U zs&nlF;P~Y^t6$9a2{+NMg-iZ@Pai*OPoDhs6KmCN=T=A`{x1J8 zw4Yi8SY7r-HowuZi4b~K$ z@YzW6LClzOn0EH)j5C*BCjNWWV#@c zX07C8q-<&Ymvj7$en5_U!w1gj?Cm4e)nOljrpOHp5zP_2fmANz#kxvA{+*9UCi)dl zh{;9jY^{-Zgd+zmG(Son$!So!!YK)|w_P0Y8HXIQ%UILN)Dl_w3WLy!ijC{@l3+J) zpEYH^?F<27(5WjN`^is4e7MyZV z?et68`-Qs7-YTbp_lfkH$dRVw)n4BdgUzw_cRdJcVbXVnxmS)zv}s8Bxr!oj1>sEX zNO-6y6ihpL1Zhq6FuqYSPa{g?jo@_tw7!-bC7nP$7VYCGNa%vHVzZ3VLp$B_%yAc9 zKq+1JpF)hTKZOwbb5bfIGFww(z-uFN7B7uIZ6=dHjlJZcFr0C}F#bzpw?WK7VG}aU zyA{#u_Ga7J(etEoyn>q8?X*RQ3Xu$7>z~3VS6L#NYs&bNbjrJTezzq#86p{5r5hzl z!yBd5l$1yr3zZusszzYLxbGpsZG%^+hCwasZr2@G5mP=g#E*-Nb&DjHQqE6a=A~)( zV1(^lmcu$=R3+CPqoR&|RgkpRR=^!2N8SKmw8MELGq9Aju_rlHQgG!Z66`%EoyF5? z7BfKWT*gbShHp8{L*}7Wr1z$Q)#fKG)fYbsb-PnzC}wv<)|{OdSXcGelXTX#KKfpL zig}(%2Y+=M7%xUnm>#8ec49UQvpED?KaCOv$bjX{Xu@(PV{nlp3$NHhrXWo z$AmLJC*?OvXi=y`aoXSVDcwTz@PYb3r_sJcN=xW;V#jZdUnLcvF&VHn?Gnas{kjhX zj9ph$+i+d}61MV=hGRNM*sT70;jQa|8#eJZ&E`Yz%owhY&p{v5mHKS>qaRH%lhEA`J@Nus%v?pPw3mP~tn|PrJ zv#kGUXoBnS0b#iKqB!T`hvZT!A|YS;1p$yjoM=$G6l^@qlmE@@Id{LU_<%I@u0q9I{jIZmG( z|J)iWnCamlj?*>p#im4XXcnLH-*&gh&Hlp=RMee=jX1wuCDKS&-$l%DX-+vVd|LWt z7;?Ghyiq1cjMTMG`)Mlp@d{6IVmGG7!??)t7%`{IwTH)GH=j_#TtuUuM&UA}K-Yg@ z@+Pnj5w<4MH%H;d%N-S@anN@{Kru$EW8j4`b!F3g62!$X&e=1TD95qb&4d227a0OM z6*YJ~mU;dL8PV7J$?u4<36`Npz&^UWBWCM!@SNqYoz8kN803su1dU$^nA30LZZ=e= zU(?Fiakuogz<+aL=dv@sZV%4&qF&40ecKQu+qvFub=B)%i%JBAh)z?(qM`}IK<{K0 zk!MfBe7Jo#>BZ4K5Nwzy3jwX|6!`&J#YP&Ng2P>1bci?#6+!B|!s-h4$m&m)tXc$}Ppj0!6Wqq%!`6WTnVl4KDuH$YJP@ANM4a7g1$Qkw|XfH!S&UzZi^PB-@wZ zV+N;;b#^Uqz41XzeVO+aBL|Hy-*S(pM}(b9p$T<@`3~9gMK2WTbG67+>*tIPhGbyJ z<1wLJP1XAMzl+XxHl(q5u)L0(;2|26R(dmp1iR5mBRmz%1#{7uUDb0|4R^lC69=dL zU7LGh>cG5RssZt_luFXBK^*F~91YYH8$Atfhe-X2ki(iX8r~BdntWX+k+b$3)TE#P zBq;trHh6k&xTRCe<9syK?RcyxddDJ~s>7g(Ug39*1Fur&8tw^|%ht@U9HkHkHgKUo z@#uDdu11a1j$4-4iBT1yENi1w<(%{qY@EF??G-v!+S3bSM9^CF)zubu8P~Qtd)ghi zE(cvSpN)Kapsg#o*^(>6uoexWZ>#v+-?FbZ=Ax+C=l?X&8Js?(hn3e>j+{V%gX z&tO=^U(cZXTFU&le>!NPC{}M}czs}EwO>ntX||VDiP3n<&o-hT!yd=XoNh}&&Tz*y zMR+{}X_yza)Jml)+=Qwfh6Ni~MJcnA!#BGw)y(^o;JQh17$&Ja)TaD8qJrLeKr7|` z$im~CMw0E!3l|TEWMWOkPG?hTaujjp_sc7bP-QLcuZFGK>7-DADtBr>qEO*tE;QNy zxNhd!NrUcht`}5D*SeBGHr+nN^anA#nTYu{zYA06pnCy&+CmA9q#8Rx1@DVrd&+0L zhGzH_wh9pktA=WhaQ1=HfPj&P05yxLVY8DGIj?JE6tTnH!4y|C>gy-cW~$bK-1b^v zDp@X43igL~E&_+4+(DN$y1`zW@+6=9oO=|F$QaiU69;^C_IS99w zfz~P8FP0fLr%)r!ef}pWOf|aw?~pB&sX-2`5sJ21VLX(MKOyp~6Q0%+9^lO57+i_9 zZBX4~cq|NJA&#YP(8#s;zmDUlp;dV_r!t^7tX92zSZC1IIe2Q@JB#{6vluOaAps{m zp<VwD52cq0 zw9}?qhbBd|%HuVpTZbON&K9+dWLk$5{vu?H%b4E&wr5qlRU3F6`p!Fx%L+!Xl8b?8 zR}1dzJt4}%vI#F=(;eEZ>){5Qk0>_rDpS2|>5~R^O@UCCZIv*#X^;Y6>(I%?E8Bps zX?VmeNH6I>!Bh5|cz|o5t+t5=^b+fux~DkC=NnXc z<-n6SFP=Qjd}gke{9?g@QK;XbpOm#LW{L=vGIAydU! z?6l@KF-AM9=p>FKnQBNuYM-t%EiV-~q3rLvoXA{SxH}Lc3?@u{+ofqFTeQl!p;+Mt z&bSL>`o>+Ks~j}^wtN`Ku#s!j9%y?WB1bUyNj5*3m9ktKqJxk*CCZrLSTVNzLL)CH zLL{bCO0W3Gxv-HdDBl|Vs*p%j&!@M@UBYgkGx`C(({GVr1HOBNL~!MINokW2nfREK ztOgD$qr0GrF^W)*niB+<=&S6dx>50P2ZRgYeT-!U*|@v14|KeXjPS7zSz|y8ZzK6? z;_UwIBtdJQhtO!TYy}(kZ5P4LGrD4QJAKi%l@E80LB2gvO%>5~g+OW4;j+!bKAp{r zjl`_v7PHH(Ttks*atHcEJs6uIEup;c>iU4oCi%f4aeK5rQ9$o^ACE&5OUJ_E!sdZ3 zZzbJRI|!*M*cgkt$Z=0tB1UKBT}&&_myvZGB5E2hx|k^_WJukJ;aIb2V>W)G^q82v zz7pddv1{fD`6110*Z@JhZ(8q&`JtgwzpuRfR^0Zn_~#|}s?)*)wA&4~^)&3$JW1y$ zEAh6~@ZJ7ne`qM=&6N#q_+Z*6GsD8E{0^!zk`Bb+B% zi$!UPGq35?uj?{jFF)C1F#XXPPZ+w8ah-Tt-e3(Zr6$@zkclW<+T~F z!`C628p+@f{Y7@Rm<^Jb@P`^>90t5PcKaiosq4CMUlqZ++Y??pn1IOk++So{8i;Hs z0FmtomZVZdQ<7L9t^P7I){zMW$ofMB3&;akTzG`ad8H6>Prl<5e%#l0Kqduy5P2D~uyJUQd! zeNXLg*-T{}xK}woc-g|I;^fUfvRNqhGQ&d*{e8!9Bxc?{08XaUUI_u}5Gm*u=arYf zq&xt>JQ22r2}as7ipXOZnutjw_Jm|(N+epzrrdlZeMh#11Y2h}Qv^r;?k)n{jo>ln zjq=$TqRv0`ya|uYMo$rJgQoqFYd#pnPMMRC5nsNF)QVqkSCqZBYwndkTL@B^Y{Sm^ zQR#uu^N9{E>?PENK>==cYeVtIrf1i_5onC;n=6SrOrcx+g>1agF=X{Nrzy5|9Q!ji z!3W_OmzFTKJbm-Nl{$>WFm%(iKHb1?obO?)x4CgoJp2qH}$_B=}XkMlpuD$ zV_xk^6oPcr)Y7qL)tBrRf?VedU(z|bke8){JiGSWj$3-5+EPB6+(wKNhSwR;TArdp zvTg1;xZu{ViAElA=-+lv0|Zx(W77}{?%ifHcI7pmNC#zl=pU$@7%MqPJCcqy!Cz6G z%mcM&10LysmM5UxhYg6h6nK=zt7NoTR>nzd+BmY(`av5wLa&ePnEcuY0s@arC_Y`5 zg?|wNjrsU<1Bj5nh9AqtkjJNJ-~A&Kj8D!rEJF{y3gz8wOXjlfF?=_KVNC5zCfxkh z7_RKwenkezI0cE1q#L~)*cs9m*bZ8q+^|(YC5da?(=`?qsKR83&^8(;WamtjY|tmT zYZ8vvCkzgQ>OR?%{COKh$uToY84J+??9Apxtz??13+>b;yHu1p=gP;b3gI;y>0HMU z?h+=yNL^N>B_fi5n%~R-4)+mikI?HxOo`qeN*x7$M{kNfOs{ggvrOt#kLH%Y{?#_G z{d6**C@#Kg58`P9rhAglLJBNYGjGUvw?1T#`b~w%j3_Eja4$G6<}9Kx9hOp3`nQ-! zKOPR&3gQYSu`214KB-@i&WUVyS~5oh#;Nclwh0-(oH+b$`^p^ zlpw1a>RcBG1CQpzOH z`)E%RG;^y@R@UW#o0TN zAF7Rirm)xuRiQH9XtqRZydqui38ZAHjE*Z9r_zI*?7zItKk5)Q!}$s6rCrDx^x8y+lZzL($l;g z(x1otR*Tbv?q?40;6jZDe3I!SM`hrdL1foDpp3>v@>Cuk9@=tBCi;>?U_lbP0ahq*hh#s!6|S_f{Vts4Bm7_D0=vo;o^%zaP>3{vv{8F~^q9renp zZrg`mh%01rLiha}KZ0?@+1!WeYkN2q1i~PjEF{ugJiPaT2}E0=%0!=R5apj0H7Uwa zfa@K;44Hu;3WB5>g`VU0(e-k18sZ7Zs@>U}L{}77O|i@U<^Vx04Iye2)2nyHo{$=a zNpPT^P)q@IP#}E8bO>S^alpwz`$qj&E1^cnuaJI+oVD&GAz$>Gsu?_~*QIa5dr1F+ z8}KQoLWKdxPU&(m)ue*hoI6uJZKp#mlMP_agn80Pp9>M!*ajf9B9AWDCx%{ipysZ9 z>8;dYX(MP%gxYFEmMTvhJ|}S?mj9ja-#f~naM~MkmO4IfU#J4q$683=SF0@fS1INS zMqR;G*dAz8e&TaGmPSdi_4<7SPfZxvWSZduT|=qY~6o6npWAA>s*i;lC(5Lp#~woBMq+;!$lN z8`WPKfBr!8GK0thR%g{a!}2>=H%=#nJ*s&+^w2MxEt;#3WMP9xbQ+}wyYEn9Iz7t# zjOW$V@J!rm=ZSN^hsrSZnyc+JNR<^auMuDyqE1^`IltFAaB}V%0*c+DZJNQNd3pfp zTJtw)e~)KL zf67r~qg~4an|i%zR_J7_)@#p1wPPgxwdeqCyE~ObA!&rUElGkIw)Xn^qGHu^o6Z!yV z?%f<_v285RbkGFN7rsl^LEs?}Y$>M}r=z2nUnZr4P6W2du|rf>1Iy#oM8#kF`*5rB zvKz}!W)2BLQyd4MX9E@}A%1yt@<{~i?DmyI#tN+=p}!$Vxc=lKC1=TtGHNEjGtaYv zRl2TX)>VS#gE}#DByRX%@xt*$R9$>(8^5Vswa^^2#3^ir7(Y=mLTNDe%w` z+?|Lgf4k22$FVmSK#emat{x|R?FERE!0!*}!6|!fsm+cH>KvQC9x>}a7&ALdr6%em zw#>ltM9nduz5bmHiCqm_fZQ9y*SMz3sRQ5;~BY7BFs)N1R94DpGk}ASr5d7dcuU8Ik zOCCKP^uHkuwxYn)^Us}RE4pN$TKvzQv>2u(d#M&7N_T-cuUpEj`#sO`AvWIdNG-5Y zq3{c1teQR`Mev8Mgo=zl0L@PqfEL`MVHVe*VOBA!lPt3>f6oFNu6u++p3b6wM4b-2 zq%!hEaTy`53X^5IM>4LJ1XFvz%;|XMy)x^1ex+L=bLl-LJGAsgE0T-9@Wlb`GW+a@ z>mi=ldA0N+g{Wc0{`+jvWE56DJFPE2Ma^{n5@e3s3SV`3>%8rR+q$qz`Jt#w-{|Y7 zK3qNTr$6nbNVTk^s>+L@!kMTks4+xlj1g89R-Y+_vwwvbIZnwwPLX&ys~UZbqsp!a z#){+UvWw<*9oif%tA(B>ukX$zt0-MHR*}TQ1ch*&&;(i+!Sdt3qE%LZQ2?V=lwBW! zk>Ts~>Xm{Wds%oeE2*HeoJE$ z-q-HI`{)?L|2-#^MK1R;w01Ds2k%pN?}7?b9@WEW2p|N2O|9*PAxH+V1a~T;WP0Hy zy!C>xhX(90CyXkzgDS(!%f7n9MGcntWm@mNZckeH34kq5n{?i1%|aw*9%}quW3SJq zfjr9#36y+}?z|noHfWh?bz*R-fE|>&yo(Lcmboqj?i+X$$b-TAmj*Rh?)bA`y@NCg zP5s=&EHURXe}jAOp25GJoXW!gCxQfCW9C-bXO&<`Sn;f?EPLNX+bZ(O=S%39tPe&F z_c$TuD*tU0t=C=`KpMz8Gd)t|Px#xVbfMTSw1msY z$2WT0;kkGhHT=5=I|+e16qo#4ws+Fa`@aOAqg4(VtDxx!=2jkRka5vUm?p~4FRqzx ze3szz6khheJ1oKAGYPH2imldo=Ao%|CJ?vLS@>tqPYv~KuuFNgOzKWR3vh(JAn31{lt zxGZWzG%O)PHAjRquqYYT9ZE>gIF{w8r2i#3Y*{Y3RYD}vgs~2EYbC~Z?71Nv$Zyz< za!JB=;=_M4GTxz{cqtQsO_n!?GwWEJC-Jv2Y;<{t4{|WrnZB4{L#AOv!BIAjr9h-~ z^yVkBWH|&Bb9XGsR1)pTWP__m7JOw$f}jcvl4`9=jcjF+WpY_C&I+a2^$&LXPfO8; z0>9t2(2`*G%r5WtPt}sRbrb6Ay1yRYQG~Sn#E@Ix!6NT!O>-x1(luqJK0JJMz;$1= z(9qm%Lm?buiYe;W@Z?RPzp;kk%7-MiXlmF+C@$Ur{3(q}Yt$q$LVO=rXFzFask!04~hmkepBm0$j*y6uMM z2C-aDeS#uGl%r=u&rzCf*p~!y{5V>gO=4o3Knvw-5NPSm2ZQ~BB0hnjI;@pFj2MBX z|4t8LDmc87eU*MC`+MipRld+<8FxKE2GqMGRmR%?y1>B32AT;WzO=R*d;XcQ5y%5^ zF_mW!A875s;(@1G?0n@YZtrUe>6M_=*z^V@2?nxU?pG8vO`M#lmO<;h_R>{0hcVP2 zE&hFCM=?~g2it6N0#!6Wku@W9+o*-+v)f^%ZOif8dKOx_*5Lwqg_#Bq5Nwt9O|E(F$I2$0&Z++f`gvK-(on(oS`=3-Ll{pGTrd%XMlZIwJiKcVb{n2>gMvk9iOEuUEK+&-#o{(DDaUOq3Hd+b3?gsW{AtDl4D{ty zM4N4yw)IiE1Xg^VF$=hvLr@mm93{3 zrQ>3T#auw=JMj>AdNQm(kq1{)Yl`>2l}StFLTRvC$0!fFa}`iKzV#hO-O0(ke>*-6 zUZ^}c=C*RL(XaD_?J=#lUjUm$wJArLuHOK@2aSx?vn-5v1bFXLLtIYDQOKm&%i?u^ zEzh^XLsuo%QtLHhZvTE*Wa^c3{e7mXZal>CS`59rE^dnn!WobU%R!b3 zLo8`gS+FNdVDw)G+wu1xi%rRe+77{V^zmirq$+%eMIah*@AI#Pk( z-nyTr4F8fvJ{rSkw{S$k*WmleTbEmJavZ{b8K^n4Xp+qk4OKD{*$)_&`qPk-jWJI6 z;~?s-mqFo75T()qW{+hTw(dg{DLnII0-tl0LCQEn+-uVsBI!0ZUdxyTqb)R>jtYUh9~R zDg|uP`YzAYP4$mNKgx`lSkzmFx32*+fAbeIc=>Fo>2jH32v4ab`}~(=A%960o%=7z z0IJkNg&f6HlIgC|$lRJrpxcXCqwRnR(yx#6qycu%)zhz{TtLGBKRKn0N5iA9UNvqW z5?+Etwrp5Ga!+0(nVF}`#UUlPMrKl-&sRW{=B928NmT>N2(RwQy0%P@PjP24=`D@$ zIReB5=dlDyVW(0GBoDtPGR`_$Epm$j8X*yH*w zWr}2m00e!22*Jdq zz@y@}fpj!qPrl?8#B8yZQ94qtB$YL%=OcT*L2!NlxV}K3IxL&kP%;PAFO_HCae zna@*yxs|2;%+uQBAGL(KcNfoQBeSx5I3SI^kOxAG^!#WYF<)Kf2I|Kd`}HpxV^h@= z&IbouH4Zuijo%F->(Qq|nourRhl8V~l)0jABne=W?~?WOi;5R7G{PmeW=`hJo0p3< zY;!x9PJx*5;S`9{*Zu=UzjxHX5d^Z8TbZ^;U9zNUI8&-NZ&)lY-%21-R(#nvdwb%3 zg5yuVUGhz^ZngCR*D~FC$=f%qWMlMq^doO`HXD^@IJd^}>JG1qJtx9C6(KnM}gF!H=9 z5NL;v-8kIScN%jLNZ~{IcO;O^ZF2rdj+6LlF3@#@7Q=~@gmG6X+mWUSl?KK)juKI0 z7J@VvmJ@W|Cogg1)snD>zybzo>!Ka?-zPHpQA@%uU=2-xtJ)@6i^KBtsK|i|r!P?#I2q zYlI`yMRquB2b8^JevLrvlRX=@7Oy6oGwTG6$mhQ&(Z~&Cu!aa8<9zS(D3RXg%LhR_ zgHQPKUy_w;c&hwr#m# zVF_M%S~BNq;?6%-ZxoF4uSu0uDIa)((-ms~u!XN+TfO^bLp&%5bgr{m%vy@3#nhOV zuP%L$jI`A+0#PSpjTf~vjt}G_fEtmC?4oOt3C`*)~pSAq}hpk^z;`$(`PkD=- z@0=yOW_Y5pfyq+3U9z_Y!x6l`A=ldRBmFh=S)}(ly=l$SH^o3asO-H~sGSzU%%NI4 z(o$aF**O>3?j5U?MBrH~=w}yV+m66O`*c_H*LPgAdMn#Qm&Gb|Nn7Iz(&NzDa>7Hr zH}(U9v^8mnS*%p$Lnqd3SP#o7`EePQQ$iwL*1f<>wkzA0`BR~;cNTM{6r_PFuimOx ze%fnS8U+UY8Z2xWW@dA0JYxl&5Y)LOgm!b|)ktj-5vY6I?TQylQ4AvAL!4=Q!W8zg zl9yzPRMvkjYbzJ>hv`GSC-cEkrUv|)d871R7XUCFlf>u_jB~^$t62hc$GrCVPe7V- zT3ghRhb8URnwTJVSc>!b(p@YFq!Vg5;f2-*n%)fcREd0;Njc+AF!GHDvp+De;fJ~v z^z4I4eeQwG)h&lr7ZPl_l{91JmGqv8I0tMceHnm07i0+US+j`#tbEA9ymKkJ50g$= z3*d)}WRZWoh0O!gz!kE`uB|v9UsCbjUh@@&44I3?`EH%P=g9^`?p62BqC2z`W~!tG zR~s)DXMci!$re3_5P5t()V#U;QT0m|hb52pHvblU3a`oQL0s8tVK*|RP4OO$ZPCDsFtn4ZU^a2_=x2h~EwugDUXxJaqa zmeOjs_Pz-&G79DxXO*g{9!?diMdwr!uu22eb=~QNjFnl~($YVPuEJn{=7pS<(0n7K zCa4m}Rqn`%ti^4guteHwM%jNV7>l3aJ$`8W*-MLWiHd)jV$4IGSj@*E@G!&8^gsB?<}If>`adJzDjdY! zTJ|M$CLiz<%`~>Frl^xrO9c=~eLl9r;Ul{7<8HFf6@Hyb$cx7C=Pk(pmmCxn|5&l) zqCbBfy?cOp0>2kV*lcqAA5nc9-xLpjC{8N1?+uXODP hijL`v_%5F89DU#TvpbZRVe5G!GRT@wCJxfl{2yJAvF-o> diff --git a/hw/hw8/hw8.tex b/hw/hw8/hw8.tex index fea23a3..2c81adb 100644 --- a/hw/hw8/hw8.tex +++ b/hw/hw8/hw8.tex @@ -147,8 +147,6 @@ Prove that if \(a\) and \(b\) are nonzero integers, \(a | b\), and \(a + b\) is \pagebreak \prob{26} Evaluate these quantites: -\begin{align*} -\end{align*} \begin{enumerate}[a)] \item \(-17 \textbf{ mod } 2\) = \hspace{12pt} 1 \item \(144 \textbf{ mod } 7\) = \hspace{14pt} 4