From 916fccea436a5b6924940dc3f4bc99e9ed6ee8a6 Mon Sep 17 00:00:00 2001 From: NotXia <35894453+NotXia@users.noreply.github.com> Date: Tue, 22 Oct 2024 17:31:22 +0200 Subject: [PATCH] Add NLP TF-IDF, PPMI, dense embeddings --- .../img/_neural_language_model_example.pdf | Bin 0 -> 97468 bytes .../img/word2vec_alternatives.png | Bin 0 -> 51204 bytes .../sections/_semantics.tex | 217 +++++++++++++++++- 3 files changed, 214 insertions(+), 3 deletions(-) create mode 100644 src/year2/natural-language-processing/img/_neural_language_model_example.pdf create mode 100644 src/year2/natural-language-processing/img/word2vec_alternatives.png diff --git a/src/year2/natural-language-processing/img/_neural_language_model_example.pdf b/src/year2/natural-language-processing/img/_neural_language_model_example.pdf new file mode 100644 index 0000000000000000000000000000000000000000..61f7aa84e1d1a1975c328350808c6a5e909d4b9d GIT binary patch literal 97468 zcmeEubyS_nvM=t05FiP@aR~1265QS0Ex2pY;2PX5!3pl}8r-mg0;W4>ZakjFz15nGESQ?odJm>t(w*@f#tR(Mj4b0*PHZ!*}0#GZO7&sc( zNZS|~8rT?E>KWJqo+&@K6ELwc(6ckKvIJ0z)5!w3xPX6f2A2BIz0>`L3toFWV=Ef~ zDH)Keje*W{3jrNF0|2Q28yyWD11$|59W4V5D=i~A4Gjqm&97?DP2}`!OmyvS0YLGn z=zs-c2F{LFHu|lyro5KvbDaT8q|9UJH0MCEOCtgQ|70n|b| z=C%fZ5#m{Ezf>t_uWR>1G0GC+0P3GQ`mJ7SaRW;uJ7WMXJqyEgds{o8oEC5#+)may zdS(W809^wk6H89~qxxoifQddQz7nGZjf6G7fw76Oi;aPti=@1siK68u5s zHzffBTi}RT{}}W?n6t3{P0`Yp>Ib7#dR7+HPCC}qv{W?D%vxBp0msV3(D`||IPsqc zosyP@l8#QEmVu3imF>sKv(eD}QS}d_{ckI);sc(g($NLlF(>}dMn4S8;JT&`epGzLI2;}>FfO-3u}8D^B-fYuSacQZeU?xX=e*$kQT_Gz8;&Qm5qfC zP3=tY6OH1J{oSa}%zg z#D72hD0(LRZz(*J*8kJs{~PlE!s$;j{+N3IJ97V9E`G}Lml^pdgFnRmOUbW=#KKxa z;oR^^=N5mDH&;LSt%J9SZFDA zbXiy_>GfIZ8T4707-$&{e#}N-V?_fSTi`nX+?Mw5R`t9b04vA>9fisBI>K+RV{6Na z|6eTPr*Oc93%DLq|6UNe;Qq3v0ts;9J3g`Yn* z=#K4vIc-@3TPu5;U*1{J$?mI62S1D51pwsWnG_JaPy^R&JvpGSRs%i)9VWHBffEoWiC6#)gzt}U{y)A& zo(Di#O4k&KfBsN011*65H}?$m0H8F#cw_|7|K$D$LISGS>c`N~{M7{iVu8;x{IWnH z6LUKte4!RH2M(ryfu5B<5Ssk~Hdug4{S#|A%^oO~Sgum{qCkS6(%;c#i zk2@%C}6md%Ed>D5(x`*KfI zP-y?z`lOYb zHK?Cj-bsil++C^r?tJM@LfY6~gyvL^(r1whL!3|)$k4}_#ZL;_>t!6n7!kRk8pd9} z1_RObIQwvR(d8VO-udgXl%d2uJO>jS#ZZiJcyTT+HeHO7^l{i5gvIOG;IRS?H!_@p z5}>iY-pNWZDt>O4RQ4ktqyuoEL(`zNB$6_0=Au0v+ys;%4~3PlElHZYW@azbi@0kC zX#8d@9xmw+6SZniifk(b%a9?2C03P%_pv1TZPDp;7Ny? z!n*^l9F_NjE+Bu+g^-~BGM3)O&R1oEf{E{gi}vRveq{vlj^g}M3S9>q5<8-^8(~-? ztSUIesO^-@K>9H&14??^wvDBfFvBUDq%Wu2X%UDAWHjwV2z}T>m=H&wed{G z9>NmP$`tdc+mFN4W({-f%#o|g(#?i(GGkr?i_e+>quQ)Q;3i)g{ECWDZ8xTjr6*IG zQlm>$0Ef*!&%T#)y^3~rQA6*SQM;1_@d|Cih0)#>ZHl`H=l%ZIB#{}|JW5Bd67uPa zlSau#Fj+m`a?bKrnoGNH0&o)tS{a(V!EqmQWx_Vv9KI+O?!Mm@6(C|0R%hwI^e?r( z_oz-}ezT7bYxRZf5t?atYx!Ti#`AjdYvS?C0jLEG98B~KWZwg4KQIMEYL>Rv&x@{} z^IvA`^Sbh@5wD0G!0<;5LCq%tpq6|FS>^z0DQSsk|05@%V{7)DYYCjgKLdzA*J)}! z9bi22)64uBMLjQ6{}}NfOaDJd{jYK8|GHv+IH!M(_rC^y|NFfE6`lO=Q~w))`QJ9k zA0Gan)B9g%;Qzj6{?V!W1JwLun)!i}{yFOZ=v@7QUK z=Xn1|=jso*{?GCLkNVXgA;mw&`;Q>w7j?eB2b+|140KdXw5;?@fIlPDKl6Yw%fF2$ zgn&5Z2Oa@}l%D}8F#7r#y!`*D@^4Y)KNLFxL&x7yEHDNK4&NW4BQWfy{~g5wLv3K} z`>TW*K>s_81^ON!n}3u5V`yM3`YS;X07k;U5{$q-gx?8f05B~6RRSdNn*(5z-wXh) zjo~)~z$ljCHv>S98GbVWWRmeW131=cVEo-bu+s1DfpvcN{zpvwdwc!a7=OXz zUlI1Nh?kaz8R!WA7W2A`SrO7kEjD`kJ$m)IaUW{FJ+`O{_m{G8dIQfGqJn#W^&kk5 zKuDgTU>a1Q_|*)GK5DvGNgyJ`@%}8yL-v~b@hNkgTdFHTY-Gki50|_7;Vg-2aEkls zY^iAi=jmwf={oK0s;9f0)D!m89n$%iCwb4ud&AJ$w_ii%W;N@owwU(%C!J@fU7qf$ zpB@fy@0UD1iX^u8sWn;SQ$tSPY&0;HBiaX1kw0`G!P2-@XoxRMg2?$$c6G7i}gwdkB2j@C(Os*933PK*OBr7C)nVKyF&g3 zed2&L4RXV&RFUjT^bt7Z;>$PK{Kf)Vh+d1nx82pV&7jSfitMBs5A94>;b9O}f({U0 zviJzFhu9zzK~DBFoxk|nNpLq=z#piVwb!K;SNaY!^&=Q^!^v8-*LWL;CaqOF;Xi15(F2(H?y<06)VbpY*XbV{5dG0J^AQVq+* zFYBHK7(WYC)8ijx5}A@$`o2<0Ro~nt*3IVj5K!kYq&KIE8EK(5D{MRGi0z0}aUjl- zUJH|0kD|l7JL}p`(zcGuOpITXfB*eLir6(A1mXWofsv8o!U6G_~EPo{<{m$X(h~C3K)-(DPZ{UiO)0 z!6RAu-8Sc+#p3+DEc^Km(@Bt3QUY+Cu|Ux3X3-PLHmq?I`I~V#`=RFBi8Rbly*|lc zWU*OwT|uxbEPt;~v+|TWw$kR?dA+)XY5~Df+iK6x{GF&PgdZst?cR1NlR7ef;`ZVC zGGs&lJr+l3dg;<6AAvI8`DDrc>6#jLgNIsPiKnC4{A~{#jV7j(SwXbaWtGOg=UkN| zYFuEtJEQOE-Z7SB(T;Ik)JXtTA$fetuMJoV^zm5h=F4|`UwLI;c9 zYR+SLTC$2%Y3~n;rR%xV9pEo~4R`Rr_d7uuty8n=ONgs^x%hdpy1KSQ8sWZqnZmXv zWe}PSl?L-#789S`<(=&awk;b+?D7VjuiHe4tLqfvwR`4@@S;z0hGN!(!ldzo1w@X_ zYrptL2s3O>zVua85jn`nvsavqE@K*gO^^*Wk`xb8WC09>L|e{|_ubfv8U`$=tPQH^qE-RtCoQ5= z%Z8)wd-9!*=qJ)g`*&4dL&a}vdGD3+tIR{@w<0H-#;dH3OI{xZorWr@wKf~>Nw|{9 zI+LApnuJa(O@C`UQj)M!)}qexWxZbnkoHdsic^*v_XO7CL!hcsSlY zmZ&>{ZL-?Z3t6eI+D{{MQh|cCC?BP*m1`AJq2E6l7a~j8n0#@n`o7PO!^hiCj%M@C zk%Fl0is&1Hg<>sNmp3o2-FUhl~0T#ft zJVG%eJ=7*8-J8gomf)^U0s(U_P5)`4EBNrCPK$rI?j%D;UlPC0`yB_sBD}_iqOx)2l-q)@? z)G>|R!*o^(M|pI{h8(VGubx09zB*-m?815Rz~*2(F9za5;-O^#ATe|3sa1A}?Ld5Q~UtsO4vI$evt zr?17b)!c0v+Pg>zypCgJp?ny~lDevnY!HbH?V!lG#a9H_C6u(Ve2d0G-agJ=Rh_O} zeC*}7->N%=`K^M;QlP{T!Z}oRoo;&{bA|Go4fd8u{BfNPg#{|~LD^a{Ea+WFl@*&m zg4c&%o%gj+U=I|8X?u^e>c4gf;>0_yuBn0 zS~+p&s~MjdRz4&I?%=q75B^7igXn2BCX|8U!FTk2xwaEUhhLT|SB!eS=+C{V>YrKx)ho=2Id#T|%(5t+F21b_K0L$9DrkUn2T&V$g zZcbIfx~gvpIJgq2>*+M46rrcL9QXO!9rw8IFqy3(mo3s6!TxIoOC>8tD_#|61dkYm zU-=Dmlo~k`W6ECP_@n5{*O=U-pAjHHATS5sOlN9Jv2weOk_M}sZ}MOsHqa!2khq@% zSCOcCyO~fr|E2O&@qrU4IDjaU^ERysIQxt0&;Yje37ueUmQoi)i z)sd^l$?@*Zj~6OT%cz_|XzG#XVf_$kM%LQ2sGBV@&>Kv)(x@ICe2ZJhOTKB@NN9RQ zgbAtkC4#hZov7{$CH%wXCx+ot)>ytTsKM6a6BbxQhRQ4Go4GY-?2;S_Of&OwP8(3N z)>yYkv&F-pmkUSvow%k^C9^fMqxL+|ILW)`GP=D8qzeZ`tp^Mi#xTzH;Xoq4PLsop zHD=`u`B`YYo3qGSq)*_Lor}j0d3ZXQ1@W!=&DyYP~tFKHRk0M62pP{Ydb(6efBfQqIRja9d zG8Xm)<8CTJ3KlM#{)xB>QJwA=`z~U~_3JpI2Pg)$Y=Gy?)gC`oJR*x=cs|dvYKCO( zA{LC-3sUq@{=i=BWfB-QOR}A=g6kkjhQQIpOlJh8-a?nKN%l3-((fZB;i;-j%Lv^5 z+~4&>21rVwCDrG9r$Pr9GttvnVWAJb%-`I|AGUlFL253o^$yi^^A^uA;g6*%zO`5U zW)D6zvZnGhyeTPJ^KH|CUzKSvVgLGpmVd0kH_%uHmKQ<6+<|j2`1L7AELP#;26_u7 z6;du9v=-4g*X3TJaer4*GpD(aKmHRF9vcSh zh&&|iz4mc3Wk@QZ&RC4OsM9d&RHbuBDrx!-T9wURD zz<4`-mOckIU z_PN;N0L#GTy8?!4!!{bUMZs$elPN;IshU+$d(_ZZ2Jr-Xcpr2c(B4X5v~JV4=YnSqu3&^rhG?%hv(t#i{&P8uA9{g@8RoxOOzY?*qAW8!@86Kv+j`sB0GqV{-l;y3UtL+s6o zRATLq$bR7Y`5mwvMY83HVD^4IUAbleD4_$jQV+~M~n#bMQ$ zZ*qd)3=|z#SK8jG5pUN;ILFfMnYTM2R-R3Yc<97wy;k5ZMsY+`ay3<&(<+<6?1)(g zTbmDf8Ex1+hTKG@-p*WlCgp3@Go#+Fv_1#5MC0|v0e!iDKmkeXP4Ti=f4x67{1c~} zJ@5x^6H#$3$BKXsf!JVDVge4!+#Q{ZO}M5-w}qsg*rY~Y@wgPrXUd6KidMx)W;RAG z@wZ_CvAh%QN(IdG_q)r6w{=O4#Kh}jNZy}m2|)zDeVSZh_#lm!Kvx3U#9X-;^v+}| z{U|$aWH^vF{T|V`6sZXQfEAEdH0>YZ64A7PVNQo%IWBpf!-d9iNMD<*pUOjgh*8x! zAvxRthb}C1sJ6Qf6tv@9$@~(ER>h_;7?)2xwLKsD+UDF5TI;diw*<)qTI&*fXW2}z z#-{{H>3AdD^*YWUr)l2gV@WK0c0dVBafoZ;tM5|_`?R#YGLRqUYr6-}YZ4Y+=_45e z+Qe_Ani4veKXmCZWe*chimh-Dv)~#4Wz^ z;iWEIr$m`Awbm@QTep~cojR^!7|t%z-nII2{4VHs%f}9uZA%Z6?G?4JP3Hj$$>(?N zrtLthk<$h0YXKRBg$T7^#9X-NGh@-GIeq~&4kdCisZp28S8-gVeiNu@!Q(dt22!`i zf`0LIhAI10PTTs9*d>+0t4WjkjyLtu3pxFO`aGu`g>zQ7Z<(uR=9kKQf{;cB&^v2I zOs++lNX;UGlq!QR*QRHC?@V_X2y&_GXRv9BY`puIml0y&99s+PNss{$@V0aZsfCrb z=e!?^2MJz0+QQhvvE7^Cd{93+M!B;yfi=C(#`&Oy;}Y=rA~H&s)ePtGh1Cbg>GW+f z=9~{mOG#JPi`JL5=3E`vRPt2^(XYss2%AN-!NYHX<25a)@Zr@*SJkeo`h3y2x<_G~ zz&2Bw)6%ub@fC0m_t-p9D36`H^eb(7ru*EaP(z#onWL8c+G{nbP)W{%OFMqu%wP{H zqqBO5T&eZ%woNVPj7+Y=V!|eVG42v2=P#RZ+pdyKU^DcK<($%Xm3P{WF1JTJUz~^q z)9oB^)7L=q+`Fe)!$6RiRuOp4nEVk6>=yp%4 ze}s)IHRb3TIw&b01Lr+~9uqo?)iYccQ65PV5bXX9AtZOQm+>|=m<}*1ASQh&EyE=r zqopP&Qv3c)_h43w(AQF1pqQ#!IpzsIHYR3y=Z+Dg#7;s7eqzYRk%8k30 zz^{Xw={VYM@NcVG#KzNoDU5JF#D%l;J9ewcmUo1>ZKRP7*=&8R6e3+<)o~AoIp+RQ z(cQ65MxFZrupi>zdB}-f9MOw1VaXrPx_Hb_-&P{^u^-cuwlh)AyLd!lb}hVkVcqBO zu4oF8=}J)UYsFjFd`yavQWEAP9x%s5z)!9*=&bRskk~#~cJpNlR z?G!q`2jwHb+$06Vm$lTKr5a*ghR>L0rSS!&o@3J~P18dC08C+a1;pBP21YCM+PqK!hq&|O4M6M7+Tk7IM57X- zlT&5JCTpL>t$_k;zNAcFhN2cT*L=HVE`}kjpzT7!20KA~_Hq=cY>+FI*fh&gqHe0;cqVFDF`C*T(30d=>wtSkM4LYT~=r6^ER>vw`|S z)JKuvPa#{jnB8a&pqgU00%ThJ0kZ{f7#Ub3LFYP zWa8>@xfbLXN&Unmgw3iF7-lUdN+C8u!j?DGHy)rlntK)uKDHJ=V!`Z{h|O*u%xL}$T@H{d5VQ&a_cg$wwY%g$z0kavI~ga3O4beN|BkmHdiwPnTwpu&SYqKXx=oXfbg>h1&O^o4O?^aF4vw+&(9Qn!;A`0BzNE6VUscp zwu+IdoT}J0MxTH>^s)6!+!s?_YOsy$mbeM-`p)`^WxisND;H!!zq=3}c}8gM_BA4d zacy*zq;Rex83YAXH;EPPB=O(OdsA<>jVYPbR(OE{hG;fL()yPQtUG&P@U?tCiZ^_Q zf&fzsGjzU7=y`R_fdEsHrHA$gGOuo!i`vx@p?F%ph@C5^eiC~xhlO<&doV#EFVb5~ zAEESmXB)q54=^C#b|#J5r`L?b-Vc?Wf^8U~Ezo7eR7eK^S)6?h&IdROWiKZkdhrRA z<=`dE;cF64T$cgf3^n;LMc;N1OL=5vNrc7WemI23Hv!#8*hRr@_AR6s)HX z2RNAVQ@~~pRUAN!qKNvuxf#w;CPYc9KzxtZ@O9p4qJ$c@324GnEt!)344zY~7sT_^ zEg@WsIC*ClX<*A;8B0;PLWA(@Z5kH-nzoFg^XQ73zS(gMUU-R zNEqTmF(qOUm9>yd6kSl|2*YT}05#`poanS|@}iU?q>632wMYUVtmfr|OV)NdsACV_ z1R)|C@>u*4U0I382W!#Kteemzo9RbqV|Lb2E)uQRj@VfEJhH6i)B~VfdvG#FlPbWV z^#a;x#*5y;OCgkn#d;ywh;(Xsg6E4AVgMv{>sL7|B#C|=rqX;V_Yc!SLF4L4%CGK) z**H@wG>?I^M(Gs==JCnuy$W^MG+yf$6@)V6$b8{ zAh%!(NlN&wn?Igj4KIFhGoJQxPRFRz3u$31E&Gl^xXjz;0}qLxJHXanSWon=9n{k&%rn|T!5s|+hV!!WxyMFdK!UTl$qkT`rIvdAW@ zc%$$yVzd1{Hl^RsSabwkHmbZ!Cs1Gy4`nxuRIf`T0E17~dQU`!A@n_WLKL!7=onLP0UD2s`=9 z6IZLj9Qx@`Vv?6&GmOeHQp@GY-utL70bDVn_*geM`18Va@#jNs6V~7C$}7ro7w=gB z;wUS>$=FY6=#qhoVd{cwq~wB^P~`A?Q8)w;vLUMx=$=Y1i(P#7?WRJ&Db{&`E`w|s zH+TM`jY8Mmb%0mb@6OEpvu)|L%4GoM=dXy^o3qT2iWV_o!ydU{XH|(9BPx?~r_QmQ z_Mak)kn$}t*$oT_g}vf-qeRU z3bz!u5(EB1f&fE-FjnctKL~f_MWJ3FKkr!YA%URGvU~;WuskXnZn?^5FiO!LHmTbs zA$@g$4q-ISi;gS!_9HwB{yTGN65aP=$W>FI--D`;inYR148RY|)_P~foY_U%Gsf(B zYpQkgcGAGG-9=_1qXhB?hr)(~IfHAL#YFRTNE8KMzN#AEt+HfrL`qbQ5AJT8E>T*b z!UXztj=h%zwN-@;(;bbe)J$Q4O}1r_eCiC!j|EqWWIjBKtXR&`q)H7Ub!Nu^spO-Tra%F=PWEc1Rf*?pUUfv+?#EGO&!q7uAwk^LBDXu~-44d60Hh*2df$nsI zVMesl+!_d5#fa>SpIb5M?_%V=ULegUmWs?|M2Gy!c_Yf9r1GT}AghYWfr4pOS$z&8 ze|Nhmr+DSP=du0>9yVo{ey>cIWlw}ulDdr2OknO|c9pqnk?*0lyh=Ru@ght^<1Cs# zobo$TIFuE1R)z%*Cnju8yh8%%-k zY-K~>Oq`J)L`Bnz{O)W4t~)}_HBnKb{<&6>BBupI8c&OHQ+1`CdAJT{`SeGZK*CPdFF@k36cAgQ z*0Xm(Lejv!POd<-cj&<0J~4rOHe5U~k(AJKsHn~lYV(z+hn=X0MH9@@#}>GaI?E4I zxkO|8Bz^`wR-U($I2Dt`x3ZUPQL}ncV?^HT|_tXl?A1qUG9ZXimtn)+-E0$Ipi>_+>`3 zuQ`vIPajaB-fsFXtx8qTsErE@BwL8a0BfBo8>O_P7t$l%-K>9HYM8+sU(eSR3C3-o zkpK}7V+8kNg*g5snxdsw(VdKqH7$Oo%oSgD=5`g{5M-SGe(@tiAb}NM@>Wk04Yf;W zQsB~cPttip%Ir3Qm9B5yri2>;dlAYR;nzyZx8~4UWO`R1i+kRVZq9}^3cKgLZVO-b zIt7Y`VF^d#!wxaohz6FVH?d!2;3Nyu1bmS zZ`83n$8B)lv6Sl+Z^w0?M-akq$*Dr2Zy_OES$~2WEmwlHX%4Vc?ZblOMyZ1GKTfP6 z$Ld@LnIHP_y;!Sqo*LUaJWXCVm2m@1Z#ZM(n%9~X`i#5X2wz6m58Y##cex-2s=lb( zP7{@hBb9UmzniV>36?}r%pujni>@rVd8AmYeYg$O@w#{YZUB_A_0>m7(qItgL&6*T z6@L>V$hF7&4nEr$fKVgd{;q!oa~tj_rJ!66Qmp(;#o(5wg-iLJ^mJ zV+enmvTiY`y31@p4SVMBP)B0E0NjZOybgZVis9si>B)x^seF1Ma{_PcB$z8pfvNd% zIn$UrZ-pc_Muu!WWQ91deXd8?VO*p61vhYmZ8hL~NQ*BvP8__gsw^_83}3CX4b&1B zcLK`f7#jzBMOpwZIa(hYd7-6$RFqh`T!EME_S6~>g;Z?4r-+*Mshi^DmZ#TzB?HP` zOX_H~0-Xt#=lW3tZf1L^ANnhqn8h1RMnZ7gPJ`s#sR&OlPQ*S%8{AuaApBo^!LAr9 z;351F8dzl;)hN92wl4}5K4pK>JDEO;C~}=0Of>WX2w3@*bwfeE=Mf+ zG7z&~12L;+Qfz;bl*#*cbg-DM>ZmX#z>%m^FAg_q{9u?^92RRiS9tAYu~%pLJFg8H z;^kTn40)X@;0`L-VI8Q^^+{Q-UuR0m|$RvEiSw!I4- zoy?wx0z(TiS`udHJaPqOhX>87x?*_f`6a8Kmwh@PW0WC8dr`{O@Vn;Y=jUWda9^b2 z#vrHf)0f5*x$j=&iU!7Q0a!f-FO*e^JSj8R(`GOBE*yd2n3KC#v>czl%ay9|ev2%R zhD3ETnb5)?SGR?X25y4m7$H?jwK$sfH12$a&P2R5K~y#lh~19Q9)WyE3Y^5$GSAhc zBP@BPsW0(%P^(&l~c@<=f?TJVxP zRMk(@hJRC5xCoYsCdbO7O<)Bj{{15E1})oO`-@%fVY)G44o;spX|KRgW>X+_y~o1| zFt`h0Z%HL3Wc~m}R4LAsvl12aP9!I4fbu?j)wRv=mFwo2UYk=BNiH}-XMuW9l`r-4 z0CgM9IMpZX#UvnnalVDT7gB$FZbBNGIjk{Y^o2I~ode=F^a5_>b>dzIYt_2ZGs+uSpEjT82fESAuF)a1%0#vmD@g|vJhO@{{z zm&wrTEm>iPoNl;qZMeO@7YUilQ6Gnu>Uz+_U(F0feLXnifRu~T$CkA_0VsfKm1ngu zT<)QX1BV(vpn}GzCM`Mhsa=iq1*$xfNKGDQPeI6$b5DU3*ioX+&NtQ=!_G>bsgn0Y z<)B6?GM~<4t=m&FINl54PGZQo(8f(|3F3nr?N8z~2(V4u1g0@W`NovQq@HGcsUH_u zy4VB$=HEi*@LA9IunoQ9i!fo12syf6Bbn?%QF3K%gV?u_!XZv}6&nE&=jbfg{4Z#A zuEyI_X+T6H8H_N}57F+QD<5gJE*iek=C(OjaCN{%1qjKv<9V6_}fMnZlEGSUI)9h&ATx`J5w_pv=D8}ctH z6dIr%d&uZOz7a;CJX9P3-N-5a>{ygW14I+E_4IQm|Gx$2%-w7y`$|7uF8>W8-yT;Z(K6nbfCJ+;u(i+U>3{- zAVGA&1z676i{i%6_ts(1r0?3yY7lxtjNYR+7O{C}IkEr&`8KC&0wcUDVfhY(_Cti_%d4 z3Jy6U5s^=!FyO&ld_?&1f)Rf7LQ6c}?1}Axq9{2LLgR?;zCC=Ffr_>Wa$W$Ego0LL z5gWZ2%y_J6nhIl#w?o@u8w}uDEPW2i8Lu{}Nqft(D~66GdkV8okHw+I{Pq^g#^7Et z(Ba8Rx~ei`aKKT5a>W$BS|65p?S>#L8EHgQ2s4ZiWoXJnW%%f0C_WE+)kT4@EsXji17)Ov+u?7Y4$=MT)23w;b5H40$Bo@hAbG0+-RT_)LT$Tdai7W_S z48%hINP$x)4XcsLhp?u4^>ipi_ZUWiuQ?&5CnxWB!h)_t6HV!0N|6%{9t&+DP@j1) z@VDH@HpsAXW32gz9f9*0ZXqhiRg6UN)VOZ^Z8_s^h%Z>mVrEi%Kzo8l`^AMD2=x5| zpu2ly!{qSDubtW70ldUo~RR?hCcp$)jd@?bdxC z%_2OE(N7{J+!#QVhX{ld21t}atPnwj!c6$ax%Da_(fakmZ3R}$kksUk&h&OnS#>{k zKMFam=pO^5qh~FiDy+av@GdxVKBBb@BxSGldlWk74_%4_ghJaSHCzN|12DnXb-wMC zEG}C^AFmosTOPa5xh@51r5TWnE~hM$50VD;pObLiGM*HNI^wv`iydbz=npN0N=Q`p zcaWD!p?z4mlr(SBiE}T7U_DY3O_o~m@ZYsb_8&Brt-irw!qyN^+S@0WEf<$2&J0>J z8&^I-HL+M$#;ytTen_dDXo@BlLx}z?f-r}4tr=^RGIs16F zEaCTI<|+)%617n(-FCD4h}0<#tfsD1?Nz}vd%@k1G`230qAl6WA&U{?>^8`tm6nJ| zK1B4ME9t$X(I+IFhI*QRz1REWQssYl_?d|ccmWxB^!3l9&%bj1=Leq|f1QH;{|BG{ zcJTRc*J=NWQ_%m>Fh|b!|FwB7*;w*689d~KYepqwdE&8H|dXuz5dD5 z(^p@?F_dBYQ=xaROJ;O}IG2yi($Y2Wb?cGu?vfsMm*xHS>A}I>9OUEm{ZVtO*2B?3 zxTm(Sr*78L@e_BNvb*bAyYrq0zE)ZfJGQxNi9f?wA>L9Mu3JwSV~gT2m^dB$OPSv8 zH*Y^!PWUUjLjzuifu!@TK>49hb(kJ&QOC>4FsVe9Ds9xQF|tC3ym zqdKx%?KNBljtJm!d=@w$(O5|(X1<~eJU+O3nY|bFmGpC_haFCsg~I}s`Q|Dw_;O$Wa)-lta6}1 zxYzWKJ(fT#*|MrUcm>9Url@?s*pVgF#+SD(I|lo4kuYnQ7Mr?e8FH%?QP94aP^sAd6~;m?P42 zgLZ`3hd{X~bXFX4`+fFl#OvCq%^O}V9PA7(s)zfURe$4eDHCg+_i1xM&$}h|Q_bx_ zYUirLwztk}{<&lngpgD`-p(2OF(GFJa=08Y;bN%9`TJA3CAY==59^sjjKl62viE6E zQMDYV_uXCgTJmUr8wcp;mnX5$q*=yfXC}S;%8{{g)l?*$ONI}nBMpnRIw}NLH-t=5 zRqk#ZpeD%Nz zwYr%*PxNG#l!V{2f}!8g=-?gPJGvw^qgZ)(OPWP@#B&tpAW8-~d*l*~KoE7_&-7Q; zvS%2x%;$`lh@7>IM_$=ci~a_@V56#L9km4!;G%~o6dWM3HpL-tQD*NFk=4xrU>ECB z=$>&Mp$P2np<}&p(1(TkHf?DHG^=7q4Ka;#oXA{PtE!WA26-RJjotr_+%JVf;2>t zrX490(bsh*o9@06EesW%5R@8^I+M~i?Akfu(K?DyM%?jv)$RBd&R>bdU$j=ili*Xz zXHsHvD4vPVgwJP{&+?V=U05tGPC{#J^ar458%VE zi!=WpKK%Fa;U9k+$A5$+n1I)n{&u5CsXh$rJ;J~d`6V=iaZ|l#Yl2?;D0-ESvUl?J zl?I_BPM#WhBp9qRwq3mv{leg8mh$~MU$r;x{i4ugy`V>ia`jX=b(*Hb`Ps1NBMZ*M z-D!Wx^a}I-Im+YHh4w`Eo7s@u0q~nU99^@*>U#1IcvdRT#jFq?A;GOR-G+ zp%^atc)qSl@H&@5$+#r))7i=@V`Ia()^QNnuKw}HhdFo6R3_2*{h734w2v!Qc}pK= z78u`fdkj%}Hs9Zz-t`Y(ob71Sw+lwJGKUY!>^w4>`_B@GJGC2zwos@~RxWg4+`a^h zKTf|qa$f-#ju5XoR}N)@tk z40v9mRyfWsbN?v+6SFo4N=x^bXt$4Qlzg-{xQ8Jz#0_F!nI>~m8xH8%LQ#WQOh*X` zxH5(c84Id5TYGD@y=F|{=_KDx3GTxV5TSV}n}hG1XV@m6CAOFQfKHcZ-+3qX!0HcC z93!QSOy{zOf)PsKVwMwr;ZSr6QC-)}h6z-+jr3lH|GXMQ`8~$j!Q^v^YWALoZG3Aj z4B5!1@uWl~kS2m1LBtf54}_2WfkF{z0yP{8cOO)1SUnH|D8GTRWsOMB+$%;)nxLjzOzSy16a3#8EOe?}yes z&}PH4>$NIme~IY%l^x@zG+=ji=4vF~A}`VcS7U%ASb`@^ONV27S~)4>eN}w8mvl&0 z)B;D)vhE%~jPsGEbjLaiJ&J*E+ysT*4Mb%w`YbBFz?i7%N+e-N6@vmS9w0Ve4$ryR zix0GtlntQjkAnmYwlYQ*=n#1k$elDUGvPS68U4Q66vnU6t*6w|jcNSr7d*0i2)2}w zZAsuxXyK%Jlc57VmT;w*7uI3#p|oP`ld<_tSo$aXUY-$s!_pg4*lx=ajuHh$!5DV= zSg5&v-EGd{**B6x?<$e$f)RoTPd_>sYdX!(p@-u4t(2Y%!>GH8Z!j~WMDW`Hjt$eh zTtBIJy|l&kU95cv;a^j!ms^YwJ)AkXFbyue@M*V15E=rRMoxllRWaV-8zQJSg}mE$ z&;dc?@2VociCa>bIyH9GA-)?uV%moY<9jL{;ROI!~weE|Mb0D&rSYEw}I&ySZV(HwoRwm{l@+%BC#;S zs%9-@?w4eSmQqiUhc&s@v8Xm5UpdmwA78;LKn@JhuK)E zviZdGK6df(&E3<}+@UFVmqN+SWvYj|Qs2YD5m9hG*JI+PH5Av8 zeC=f@E)QA3bfME+pK z>aI1MvV2&&$4y6xi4JRjH|fTBZSs< zv}74vox4xrw6mGPwC*7HUhi@gCCxC~rEvqd=#u=*`2f2PRy4`6oxM`EWFToj=s>mM zO5@06YTaY2s(IkmIBt>F+NuOqxmEHJ*MTpU%wvB1qwry+LwryL}wr$&b^Uk|B;zYcN6_f;F16Q|FL7%b zu;J5i|E5sIRepo9Pq9SG*|$r#SRGrJAhji3RoV$QyPUf!xhIKuk<%y8>gIe6*pONr zSh|gb4a?y@bi8p_pJWy!+8=k&>RgAxH=%Wg@($G}@t3c}^?pz2{ha9iQ2#vWrONfn z8nK-A^XJbu;<_u#taN(198Az2wQ867LDIa-d z4#CTfINT(r%`?g-JN&7*W~Lo?VMvca{@HG_+pt&d(JV-8mr+k`-GChl*=RWP-RNB$ zBhK7T$?3B0RBBXy!zJS8W!=MAqsuK}^>{SPIdDj}xmnEbZ-Mk{H{=&ilEZ@kpab*5 ze=doIPj=B$X}Du@4_JK5=Awa6U2dyyzlB0}rS8f4Lhx*U=OIS@3+#lv7|!_QA)RPg^+ouv9Ok;3bN+6sSOznY*325vuf=?rFCM;{cP${uAZ3A zpZ)BhlRlySUbk=u-<%#Q(o&y~b1;HHQDnK3z;8Q|OxfU5?No+h=Ns6~qi2-%T~2m- z9Dp+di!eK-wHKLQk zI*;A*@uhlYTdgknJS}}QGGDdT#V!>7+>rTfSJ#_MI$DuwS-CodkWhZXot-f$BQoVh zoYqmJ068jls<7E1iQT`rBl|-&$6sCA=Uq{hnKA~8wpGq^acIzaO?T*3jlIWaR~2VP4IMrimDY7vVV@{tufB3`(GsS=n$jP}FS11g#G-H`3^A=Xmofy( znMx$BzZ}iJ_Hq82>Vcqb)XR7znC7JazB&E*$Xe6hPZQtMV$JhP`=T& zd+P)_%$)v|{OG$`&;pEmVf&5Bm1^`!3mlBg#WH46CIjS+-PyRd*am6oxa+Fiflan^ zfV~+ch8XT5mZI+U;uu5 zWi{3oRr{Dqn7sdGPxg(?YARF4Y1b)p?9r>)%5)^@z@p;H7G+f% zZbv@3kg?aJWgWq=wc&9KMak(S&4L_4wea-PGvf|)!ej%%vn<^PbSc4_oJ?tNcK!(6 zYK66z-nI=MyKNu>*~9XD+Wn<;3SnKURX7n{W7h}0srOyafrK|WjN)WZ@Q`by1}t9E zCiK^;Zml$Mu*E^Ymn}DJQ^Mdt91TDEHQ9F#<)uyO9` zz~6MH3P*_y%H39XK68+d!|$=PM1W1nOuJ)Aeldb$&K2!9)zy0$^uh>(p9s|t(~}|K zA==po6GKZiIW>a!t)h#xzH<1C=H-g&XXt z!vhsQp=WCJWacSG)8M!F4`#EW9~F6s!rG;Cp{53rlismxvtfer+zBpw>sofApLFp4 z?`FASqh9676=-r%7>k|mg+@wn794JQ?5oX8Q=UsRVZ%;K8Qw^ZcTgB_%#?ol?5kHw zZ7TLBc-hW!;SZ`3)C|CGCcDc9HZ;wM{-JQ=l^0Ha&Kn506-SEUHHIOL7EAz9dnUUe zM84)E<0H!ws^TyL{>Tmv&I8W$;PU0~RW}{vC=Row#$xd9`CD1zL*@jCO(Vr{w$}E& z=Z9nU9Z|JPrn)Bo5gwuT9u=`Ri({fB3w#5j@1P{|zGJaqXGocT*Ir4YkLecgq?}D; z$xPNf+!)P;@8=kf`{Nuo!Jwdlop$axYr;@rdSi?hk$^KJV77zvQZ7D`BzIICk;ctN zU*h=~#PoE07M5e?3|7WCdqv+~x9yv`<#Ol8eD12J@OIZe2g*WAilImjymZ zH28Zc)yJ5d;rWnDX@30fF67%qoRVbS>jZIaW>bJ$h8(sU1V`%AK3}dSS*k9GCt{rK zbekLOW8wuq1x4Pvf57EBTNo94_|FMNu^(|{H%P6?n0(#8MvgVt6zq!|{G%ZRA*fx=`;M~Gx zl41AcQh{PEYQ_6Ql6l!S!Q=(s*RAm!WW8?pu%~How!OBYgN+9JO}aX@G&XJUE7{MS zoiMTc6doSmyTMqd8Yco$#%O}t4~*=z(jt$S6OMyR)|!$ZQ+>oSWRy|nXVHCU^*i9! zv27!sL%Btsiy~T+U2WS23zHP%TfIQCV&GDdyq_DM#y$7D_uv&TYmRDtC?nxg!zrh} z4oViqE5d4w!#!6XkOu!Mo$R9$H%zU|%>NA|c%DY?*I^;;+kJX%M`wro z2HMgE6vl9bAefT5L+?nTyC70q%%7oqA*w$UqXRt2$~!y76a$o<=5*L)jVrLd5aEe@ zT@R^-sUD1o9&)8UVXBSfL3nJeWnr3=gt4W6(!E$581*4NBg0pBnQ4Gkq;sW=Y3AzO zsN2YNvg=y=z1VS_r5hptG`G?#b-Qxt^G}A#dM5ya0LA*YFq^tvhg$}1SVV)~XToX9 zqg^4C5e{}w3y7I712d9CWS~5J$L>$GfExeNU?6^BIR6FzTwHtPvncGtK76*F9)@b7 zxc(fnbi26CQJUnj#yu8cMHS{OdB4retwqYbsF#2B8QAG>;YH1Sb<3I#mLd<>puof3 zY+kYFATD06_{x?*K_J-3K~!&nc+(}~jK7_mjafku(R9q9&%qBo`lev#Po%rA7rLW& zT&|s>ZO@aVzzmrlE;EF*NRD2MiD&|NO7h2!yMt^(`69Pd;;HYfD?Eb6^na+-FDs;~ zX0fM-n$koiVM+Y13r)>7ve-u8g7$oZC=Eu)^j^WG``Y>y`bSwyx|;H3(*HTpwn$eo z!$s){&UmU|$N;p!sL)fS8LM!T=+yjRPf1R_w(-kZ(S-g6C&bu1qnL-_x=+M3Um0H@ zlE@_cy>9H8(g4ShzELTN0LBV~Df3E{=NZJUeMoU75TWfm0WowiYPzr`8 zeIbjbeaGva@u&P*oc>xtgYK;4gqb$ph-E?nA!Xu~*?HocTRy!Z!Fl;eT+mn$Nt-Z= zLlmoyc9sj|jK?_Gx^M?tTG$w?jH=sA_lbiiSJ-%lnf})rk=|ot!!UAECQ>hy`e-z| z+Wex@NiMs7$j#Gj{;mc6Q+qd!di@59^q56)lW6$g$&Uj)rbbma9>X|w@Pw}0-97H@ zD~XW4atsq&P*}leiv!n+gg_Oo6WJ1AJIv{!u~Eag%=g9lX3>sOp8U*nip-1XQ7eJT zQ=!ZepWG#S6c1Q4A5M;qe7*SNo)MJ{9M6d?3pnT1gvGAN zQU&T=o=*p6GX=#G%Vg?Y^sD(-a|ik?j#gGWA?Qh^ofCAR11T2bD0S%#M7<#p89TV+ z&%qI4<5K3Nmi@WSBj1D&+qd;Hnrb6UDN8AOeBjQ3j%eXL91oyuLM{#7nT0pO;tt)V zGU`U<@^xfjZD$BzlOeem)tPhV0R0Qie`6i zN8z^RBgTjwZ?}@vVgVBb>rDMFq9GS^M>(Qo%$M$zlAxKGgUP*^9~3ULw3UX zwm}}8ZfnYk+%$QY_m*t=xw#d{Zm$SkY^z&VsZxTnokVv-sy*Wyt%Nk&u1~m z!-d8EWbFwr=$%}c#Es9Vlz+^3>hp@0Jc=GijvM`vQ-Uuv>ms?hZpjAz&qpl?kc#KS z0qWLnmrXpNPTTTf$e!L5zAPB+JY(!0rfpp5Fh-x|e%pxJ07V7q5h{3Rv|$+UZa#O0oe_D$^BiemiPtVMA(vQ8!#&CG#C=XUFV3NgV&2JLlwU4^ zR^DWuEDW4_mkKBkm=1(?x|AuKaPJNPS6L`ta&#dAN?Nt z32q~P>3B4+{n4MZ~nvKp~DshGTtkD*03AB#@-ojiLsNs-LhN) zMRQog-?YfXvp~hn6OEvO@`nY>UVM#5(j;xuSt^zCoN4Ide7tGseeZpXybVX-SaDX& zwEo&VPyJ0CBI1_XkTa6;wVlTcY~UI!NN3m~mye3N^q@x_haIe`p^h-vBBvg{#a&toEh z_5Hy9ErdweN4vl)MQ9mS!RH|m;8U+5R*8w(-@7;<3%YA44A!W-bZRpp6uAz4G4qtr zwj$oH7?X^aS_1qeOlA%-h61K*c3fZZrK8L^0fOQ2C->?MtTIuy*zMEVNQR%;w;hmy z)p$r+2;dqXHL(<~P<^&Ecz*PXWJ^1s$6gZDx19w8Qx@)~ieg*=UTO93s@6dSAzk0h zUQipQnWlFA3{pfUlEKCal|bD8RK>ClL4KdgGekHl_8#y~rus7Nt$m4=Xll=Ofn&_% zwj{xyLT=!R6?c#bc_Z`MID92?5IvybDWq1mf|+CGa;#fRhMN=RfXGuQMB);f7uXrJrED$Zohrhek$~| zem;}dy_g>@%G(P!CVCt$5rNAR&2uFHZT2Vrm1G0*Kr2>NNMzYVbEfCZfh8``*~qQw zRHX_}#8|Y<7ptPyvHZyA108@1Ckz=wWr5LWx?hp%l;g6SkRsTk%(n91I(&nFnOYV2 z`+NN!p`0;oLS~c+PgU6|)?4HL(R%pL_R=8!DqYg4lTR}l#ROhcznCp^^~7SW=n`{h)72&m(4VC<714GguJ83D zZPOXm6Pg^R8uX7t?*+`jOt?W_ig2VH6AhgSvqxkj6PzpM)?Yh==H~^k=X;KS14SXk zvA&vQH@U;mQ&qteYtLhRgg|!2f_aviUC6S=Jw8)kKTC=1*l;||7O$pHPt^O!F4TjX z{`!}>CuRB;8qi}()+~yz)3EUOrxmnFXTE$cxuYiT>TR!;j?vGkde-lu4Os3^&J~#` z$jnng*UO~mF8&uTXhK9)1*eeT>a$}GE*5fTeW9iaQYpPj8;b@9+uB%>`h>HbE^8_F zFmTsb51SHyU=%r0IRAE4O1TR$_(1e~hkMQqK1Jv8+qQ7A4!mk}ZJ2ci` zO55~e$D$nj+T&C9e{A=){`0J7S_3KbqLZGB&NzLcMwd+hr)gt*W}N(14j~An8S6+U zv|oLQvinog+m|*{kzDjU;!NS3+;1$nNu&CU3PB`mPw2}w#@FFFSoabYc2?n zC%Xo^f87ddsLsVLT{q%D*XB702`=spEe3i@7W1KD8#}a_=kV2G$LVJkO%U*j_!H&K zBjazx=f`Qzm?dCJ5p2a%z>qF%ui$6FD}~E*0Kzy3!R+xFF9Z}d2*BI2cgNV$#+Kc1 zHStmY6)6eZfTSQFb150xhE7uJPlB|Kqtn0;geC+J=utR<4P`QJG-t$p815V#|CaV3 zkzZ9sFjc;cN^<7k1kM%Xg=!jq>!5l5yVBXhe)7xUZ~F+n;s~9(!Qeun4X|B173d(xzmqGu5 zSKGcCzVJLBw&it-ml%JUiqV6rMPNWfox5G1D{MDWi2*aO3(KK08FI0wW(l{jnXgQmbVQ>q~-1^E(qLLXzAm9>6NEtx#3()S;oKO~XSr z*Gi-g2%PpUm^RyoAK_U(lByGab=6^8zsi6#J=QQ_A0q-Cl*bk%aCapQ{yOaxC|R8* z1dx_vuj&TFF*kBZKp@&r7Z2o;GWfnN%1Rp_DJD@pQteZlLsUNMx!93pNZr62+_s3U ze6tfZi62@3M1Bk5>kPV#v)q=aFLDK`Ve7( z?Yiwu6AG5XK9*a&FGNN1(ivRVvk-D|lB57EUw$PTSt#78;7pX{>cuyxIaIY{8`_Ds zw|rWj3zPMw+))cO+JYS~Ro0fRuh4zHl|dfqey?s|KQ>rVSuEU$BTYnxF=^r9%Agu2 zPsLm32n3ZBRcrS*fI4%Ai8njMTqzDWRb&Qw1*iafXe>!Su1CR!h{htXI~5hA_PH({ z(Mg0)Hkw-QSWX4sVp?)uJd+WXkPf)%4IqPnsdRy$+J}?27zjc`vSL8b%~;VK5bQ^k zi*Q|DgNv1SDOfUiO3YD;#C@l$=zov$LPogL6(LNXsIB4iw-mh> z<*j;B5Z>T`aA=PM3HQf# zNEo%JvEADv2{oY_J!dI20a-fRs6?dYx75m8+A^H8Fn0y^L;FVHG(KKGp#>_jOgb=# z3~;IqZCU|{1S4dl=6VNcwE?cXK(5WW5nW$`M)ke+tw|$>(UnTuv7g}HDhMxLa~Z#B zt&JGH9WIgK>?CJ9w*vkM{8^-0FA?eA(%mv6I{U#(x51^oF)YLdn64(rrfSbJ*Wpbt za9}T{51h#Q47KBa0SM!yG{phR3kOo$P#3#$MT?x)s}Xe&=28Qy}Ugz?+F3v3C} z8UIe@60qz-+Ir}6Y^(Qv0JQW)E~;xdH*sj_zZD*cg!|@JFJ#)Q@y-!VTI;T*TI23- zhcDBAN5bqEMphrJwteozDU%SLOR$J)KfB zYyNhC%WJDZ9M+$8{JCR8OPQ;uXjBa|^^2m6DS&3QhHXxZZn!#m3SDNpT@Jedcux^3 zVa+(F*t08RjKj6}He7ub@m!6Wm8|6zbMrG#kuE7~WWJefCRagp7x=Fu-v&%HaVOOS6x+ia2g7r-3_ER+{lf zaqTU)bOvsa>doR=;0-gTQe5N-GVk&N-lTgxBn1BjI2K#&eQz6Kt14BSD^EQu$OlI| zUEB;L*uRS<&07dUaC~8r3uyP43B(~0B}d2&8M3@J;8CBC6ku1>gUB;-lLw$|t##>QoGR^CoHNfv)vG6BVyuUFe0__fRnHoEv-ENN& zA|NTHwvM&hePjQ!U|nN%V=I>(p_$facAGpnh3bGF+xZ@RmbxU^18kT-xY`aNV|tGW z6-h_s#R<=5OIAqabDQ+*<6XdPL$m|6op9DS(1`n)Izl$+-s+42%~vnj_@s} zR+RI~KM)m>)@h3teF_j-btgnVAt+*w^M+F(tow9R}2ecMrSQ5$6{bk zTj&I>|G;!aH9UQq1Z$|K^Td|x`W1+JN!q7}DUQ7d?HOFToq$7ZFTH`zu$j-QLFA6+ zv|UQq9Ix>wmb19XU~D8!%MRai4htpQxRb*#PE*W@8qy|x-699OkM%c!-8m8Wi0EbN zdWsgr-|~>_koq)N3ZC`y%_7iEqlDf+kY-=c1Z{9k#-B-}&)@Cpgt4QeluUdNGI&U1 zNxfku#EVE;mRwt4cV(wmsgu2eK?7ZaaOWzb%xTw*uE47~9P$(^8|##Rc;a(NmeWB2 zuw5aIBCle@Fa%S?Dx4)hk%W*rKIseHe}5tO(L&)A3LAT3!cC_8 zPuj*!k|V-SQ^J^9(L6pDkA-U}U(+#{k!79DD+iM}ANw$hpR8zZ zbc7vc?0A>WcQob?1@TKIkWSR6!$*WshWgCxLBP3GmK9lJ1iRVPF!Z)eCf2$Z>T`B> zmLRI7mc{e9#hK{ok)sB3FlfPGD@HkBUj7>v{MPDj3_n^ruAB%`N=Iyz)2Fcq)fW zsW?zSr|)Keke+^6{3aSx9HzwK1fteFHqUwDfaW;TXb*@o_+6N8avAA|$p8D_KifDxk z)1hfuKT2r2WkRNzJGE5hODd!f;&B33xy8XM8pz@bR3_w*aP>sX ziTLnE%cV&8B9(03Bo}}Go3DQtvfPCkeu`o0*@qxe_iB1|{Rf{Dt-N%23W3z9NV>kZ<9=WItTKNCrw+=7oT5t1Oo`YYDF8AN~G0@^z z8`uE1sP6LQ=$_}OWtpaqc^IAN2=P_&V0G~PFT9gKu&N>3YzuxXd)Pk&jqu#F*6F8N zIsabe0xcj_lO^=Qy|aLs8H=0?DL?P*7Zz%s_loA!1gRTfH3NKH2P)q}hC|wPMz*Xd z^7%odYC0LGiu~GiAFwWdT_tI(u(%x8yfv>W0KHPUNd&Y;54Pl4UYv2inKv)EHE51> z=Jq6M%w7PssELY_Kre=mb@PTagjE{XY-Qs;A=^Xx-DRH}iz)TM@-6>?AhYT&gF4@E z_+TJiIJdSJ&RGvA=TlSTNbNOsNApYKXA2$NwWZ}nF6!k!xSiiT;BsA-pGjyUDM zMPqhn(%xXqd6H2(^^GmjBx$dkfoPOd*fH|X7F*p_FDY3{*CiilO<>3s`K9Sq4(pEz zkEIjzVOa zpco>3_*sq2?Z^-oxDLn1SB8OS#e8o5mgr!gYk2XfnCPI~AW)3i>|f+gv3+m^pD=b{ z9JyKSOOA|OONXSYCI9+?1qW`G+klgs@9u(a%Sop2d&H8E+Xx=YxCJ5jcObb_asg{E zj4(1|F|=l?e1O9r zd=i*9w;3+Ax;cE8Dw*uB1(zzPLqAlo@8;O2Dp|VyYkVS*lr)Rx(fPS0mMPJ2$X1>2 zEz$=g#)5dmDAf0o5wqt(}`yXAxq5+xK~TCRGwk{pHBs2ar@d6V?JmLEbHi$#z>1Z9p%w<;Mz$ z>W6y|L2;YX%jamVZ~_a31;X`V@`LUM-#SD$oWg&j@$$cnmd(< zAP749{6;!Le$|DZhjn-=6D#QMGqbodOP~T?bqKYFLq>*}Xq{4X$L9;=75woQ8AdNa zI6=<t> z^(86vAykB&OM2Ma0Y#^qk#kBzsP~pNEWJ=k7l`@%)-^FM%?x1>OHMEQz=hw%@}W?e z)x{Eo$=T|3H&4XuaXYUP;Cwr89Q3ny`SVE*?V_2Su|Dk(y4rDs*f)q|zmtN(rXD_x4v>c!Fz zi}AeIZ?N^>bN~C{_g|H$8GTR+76#w+VUgd;1c~5OyC8!qOu0CtU=KXYcDqfJ6sHKi2n(Qd!6CHtT_0FdK)@Nr+v=w_mCZG$I z2uwlMgdphLr3Hi%_86atV0rL@N-%CmXyN~Qk{)u28qYWz4pIc4Wm>i*s%3hiPk3t+ zpTzT7neDiZmLm#?77#FcXSrx=9p=-4Pn>u2*aaES6irw+j&>uo5!V^y ztNn${Q8JgMVheUk?VG6f;&onIS%pUfSSdS)uUIh0do4da6^)h?&=I@ZBXWA6vw)_> zp2E<~g|z)n_i>gznr^?Q31VjfSI=V3nd0j%nsSip>zD0MQ^^JS=(pWxBrdCyh@>8Z zD5$mM+S9f|CtQgXF0jYr%BvuDRY3HHq^Z^$Ro2UJz}^HMN7)ZmY@E0bedj@G?h9_? z=nBTwqbPMfo=o2PmxDq_w@jgfi_*1irTi)o)x0jAXPBrM3Du%*FsLMk47Xwse;msk zvM2ktw&S`f5nMJJErlwxzaS#M^FpD^14<-U|3`(W&sKJ2RZz{8jW7a?f57Vcux24wE^Sn< z6xP>b_uBYT7X8!1gQg@hI?WreW0|S4Yuvrpu|z1&bJF!(@gX7$1>5uS-b%!Z$8(m- zuBiP^^nm~ljT*CZ|nCRC~9NdMGU~OlDGTrXeE@`f=vc)DVJO-#zE5nF{ zFkX?!;c*={XZ4Hwq+V-~5*^lTy*JVEXKB)e+A9^T^#_cupC@341M(<=qeQtkbUox? zro4su*jgDupkF(v)`GlR_oP(=;KRF3f;9h<ribLWK|8HUQ#i78F(V>5`svW(pIrV_T) z5KKt2#@2cHUf46ayVFdii~T+WzndH#_-bg|Q3;tgbz497XngBZ(}*=a?k#kl^jMj+ zx$FAbCeoi@lZHxxj8)tYnPtqPpPa|qAwO6R-c^%1S_5~US#h}E%&BcO+;rNWL0%Ih z7fa+I=<+6x#3m-ZM{K`n8huIYoyYmIJ2$2Eb5$=B;dWR~HfD;t#D5e?30O8BKTZl_ z>b8n;d-O~XZuQnG=eWIALFfg2pXPV#pi?_IAer(;4ypg(c<|N>FOt9`qQ$T4KF@ll zgfXu#eN}KA!<5>L9i@QuKhB7ayW0TnetiBw@~e7FoVER$w(E@@0$yWlCYP{4?`~OG zU8(>f&LvbThw!0J>$p(B9Ry|>dqNC%?62|-pG-Cz^p$4S=Ih61qs%*3y?M~*5!nj> z5w2^5<~?Mm3ka3*a{sj=U%E9TlaE{Ql3b65_%d3q9Q+KfIrpu3~OBE0pExf zyG0Z?!0{x>qX*S2p%cNUje3JNZ4Gg%*)1@3w;&n;UBKj@sg1W%#Y7zP6_wLTEZxVS z9t|&c@rvP%;#q zj__TL0dfISq9DXF{8(-Lm(y5xkIeD5)=W_-&;0ATt60y7F+6lWh0=R^uqlrRe-L99 zL0UEJ92OwhF^z|emf705mphKRk9zlEE}=f$#Ey=>S}rS9xh&ZK_fDg33s-M!P+aDS zB$F&dH>9MPlzx$Lm~|;U-P3J3O>quzWTW zk1gYafUX1V8OQg6k!}7@jHw0K*5AzqXE+FbBlRrF(ix&=V#UQ7R2vfh*t=H4C)%DX zOuK?mnR;B~%PV#X~(lvNS zZRAb(3^$s>T#2jm%(Y#R$%Gvm{!Yn<1*1PAF_yp!u2VHZS0KBtBK7@6vPwQ!No|EyF@8` z!-qIOU#ZjZ_5R5`MW3M-l#R=g62?deUKIcxNHL;F6Z-;&f=7_GK(y{WuQ(`3o+0lq zT=QPq>l~2++l4V|3cO?8AcyUs^~hb41;11iV+*VBlEveq+U4Oo^qQ7=Fik0Em5Qx)}OJhIe9VfGK^E%2}!TS_>;(^V- z$432;Juk0;ZuSY6!>frBNXo8)e*)G_(1}t#kekx+n=-Quk^9|fWK=2!eX&|j0Y;_i zbhVfU?Qx02Jw=(z{e(E&!V~$_^M42Gx(M%rinsWsN@tvynji6qG zv`9VBY=1}p2^#+H)Wb%RQ-)O(Z-qtE1R^FBm}9(dcIUbugz28Tq32LMYjrx`VFVQ- z1!o2|A;qA@S*a;HIoX;*chh?BC%h=2C)02qqsSlEx9pmY-`n)iA28W^eJi&c=iXx1 z4eem_K$&9SQ?6~?7_{ud&+mG3`u(?`fPbP4`6I2uAxZ`lj#eGv<&QguXfiv!fUCR1}Jq7cWOHdsnI<0^6%* z4IRVY1gMnxmyNSC%e17%s0PN&vkY*CQejtUXW60`FeFKXPA#(vb$!&#r||K-Wmn;o z#&r-TFIkcE83+HKQR%Zc=csX5x6!A$$S#lwW9eHDL5B#YSDM|o!VUCS3EX)|n>Z=R zBQtp5&ZR^hs3FuBou9)YBnuJu8zM&AWw3-CLm~Y7kSU&I?7k@HfU4mIIeTrFmU2t4 zEp>549{@v=z$?#{HBwv}7`KLeLS=DDTOjoN8<;<*Zn!^Y>05z@j@}|%HEbj!%Tiky zuGiR~;N8(&4SRGTp`x5E_kQxi8QE0ef4OU>IgW7E?)mSh&_ud=SV;;!FgQx7BzGD0 z83vN57)9VW#?3&{8XD}bY6ZdkcCgNwsDp=!i@aSJO7*?ZbW1Sr;gm2Kp>(t96SGnv z+82C{+&cd=caaZ-q~wqcmR*%#uYl15Hhq7-)W|F&{*kj4Cvteo3d?*tCe2B==|Vl5 zmyWZ-VS(@_>z^VXwlF32EZ8o{#ck~`%Sr!sm86K+yc{CP`2C@xMbuKieO`cqS14kH zeBl)zqb9vt&8&`V+Vlf;nQqZJNmE3f)Mz&@rB*g+ugWUMpC_EBQ>+F;7w9*XW$-+v z$ZbywS!gUzlv>pc>ET=1JV%FB=gJ#r5En#j-dtA=& z(A1sUb~R$}WM;;SqHPGqz&eFbpx%=GXWKqedY>GPgH`gbZdWR=5Gn{VZMBeQ6ylt7R;0(}#;`;D%9ktUr~c~65KN;~W&cAF z7BkE#Qjgrf_pXT=)p*)Dm;7yxmEVoja|w7kMOy#P_KFi#)AzuSV({=iSqhV-%!>Q+ z8Iby?>{D44XO9<^Mr-nUTwVX%SM8ub?pqVAoF?}9vQumKH4(A3CPZywLH%2tn;EaRe2aP|MfLCTZ>a zxrOg-cy-e08hLKPoJmjGc-?@k_CcZJ5bv_a|5@GgS3*<%8bAqW#FvwOA8&oSWO^~{pj?#8j|E5tc-F30%DqC?Vm@E2c;K>UuqwsCl>#|9KKjk$eWYonBbLRZyx zbd6q;FpB&OveCp~<8)k!1EB#EGR8Qe(0!?~ONu@>n6ZhVi-6c(o2z|){}!O?8 zQ<2)nPFVwajuis8eP2taq(2es2YKA8CVN|8zO<6H2gBjXY{J+AK^;{~vHnV;;=}ds zyBPG+Y_0SMKf!g{sl>AZMNydy!t-{}hrYsOc%@Z^i`8R@m>uB1(n>IQ)QkjQHMAvmuODQWin z2&{CmsrM>_tfdfY>WgTzLCX8ZX3|z_*?%yGO+; zG2spMXo_u38q}~`qYE}mTDIx0qzz~xgir9$RfdE&k9}b$+LBOwq+TU@xcOKuC>FgH zfew4}Agtrsn&9*(TQTJ2tz#HcW#N9sk<>>cLhxnaW?5)d6rBRG8I@V~f2KT+%a`@Y z0#pavW^C6xg|^!xu?QTfq>iKu+*DDjHznD=fsFV$u&M{BIW#T~yor@)bECm<(ca~0 zHc{ph>O|@EgX*2iUOuY~4^FCX|LJjnTtxQIpcj!ym8I0VcpsieWd`Aj=Az#ACP1^Z zA2IZCw^G{T;TeT$`Arq$^f|xX7G`ej(lu$lHc{fCmxG>kVZO#Z&CS|;b|0a`E zSzZF;ogw!47qpr)YK5=xweGnZ2I&g?(8i{ynC@kSSEODVMT|R!(xvq0RfYH-o{d-5V&nbH#8z z8|C1KONZ}X_xu3sVrp-y?(Du=b(L->o!=>yUgjA}i8p43eZ1jMm!7Z@l=`>q?Igbm zX;^vP;2bmw36Zzh!vkLF^Fb5=oMcww!k|&IS#6HPbPj{CM-h+!HsgS9M%+fq1KR(q zo<0UD%Fn%fiL^xmF7&ok~W zs7lZ{$vzYtAIDa92eSht`FC|YI1j_BI+7{S1ZmBz`w>e;U>fl{Qzg4pZgbwmI)h?l zZqXQE|)R+KLC@K`7P+fWrX$mIo(_t=#qTL8g zY)pwdW+vo*8x9u=Me!H+!WFhJwM-?of=@<=_05NFx7hq6ooIa6^`$I0YL%8R;AsFq z%98`D)BiO;XHHk*196zxl~$J$m=bnz)HV_&SIRLJr=k`gy$!%PzHFu7bAGaDGv_LF zQ`UkYkF)U?^NYT(B#=QoV z)dyfyE_+67Ma-FG_7v(6PFZ5%Wm%=63r#O#(!Gmvja%#HQZ3WD7)xF3H3I%&s zwrq4RZwhOUi(${{u^_T*A7r*Oi;p;Xnql&l*S&j3crs23C&6Kw$c!79MX+c?M4w92 zC}$yu-m4MUkRK;c(bd?1no`ODXhWqnS8TO^_)fVTokQQ{ z%uC(TNdF%Iq(EE0Y5uZLzd0Pu-~o&O{tW0IDs{WqOUZWRE7Pf6z7U-X=lM(DJv{&r zIEIZeOZ%-3cWBdew=+Np3A4->%Q0;0ThlGCropa`oT^3)O?H)_)qIb4U^fVESq`yB zH$pUWyH*u+Mnenp6O!7gwSGmT0J{J2Cs~y@+zSm+*iCk14AU(w)0w|`+> z_J>DQ|V5R5o1DM8lVmei@1pMO8KS*#mzn-)HUNC803(9z!yMg(OyS~D^!bMBGqyLKr3TYyr_ijguV9NbbrFld z6z$j6)5J7@^}L55-suqOy^mkfmsx*lf4%iI@rC1g_fkF=Nkd!wlSjjfzqg2f{Z!wk zCDOF$)l(gX8Hs~Zye(iuua=b0o+H3!YISEuajxxL8XKRZirE!4-REdk>xDd9%O`^J zrARk^>|Sj6adjZK&ZgzsLqFCWuow%Xa~nFX7T)CFd5^_j0)32QMWeIn$0@SqsgGWO zRy>k5mDk&R8E1X?*!pN%uGarp%A(z4r~iz+5e2t=KW6|%gON{5_|2GBI28y<=sD#6 z?>D4X6ZO~@>h@-^F;&KTU`mxYSOzJ_Y-X5#9&v!*_-roz!+c6AU2wte^NErqV$b{FP?80%Kwd15<=qLM$^mH0uErR_t`iU-N#>wN(?_ zW3H`z_?uOKwFJTg!7&ITL`O?BL&)eUu1T_1veF-eWA`>VMA13Ues9#>bNmd5T-dZUjMe|C}fv-#S`vYG`s>d#j^K>cmGOHc=EpMbIf=22?Qk&-RWXltc( zd|_i!Km(W3gBm}zhC%FkRENkmOw8>JYyE{tH$DycE%bUBa6Qp!z&XG|2E3NCUv&-s z0NOt9LlEupd6PuZsqEtv*@qg(NaC0qu?+YgRJRN`Gkt91u>MrFnaS&pEU1-%QU@~V=eOS@Kf?$qK(OS;4|67WcEp3gO)=eR5_+6=QAz+ytxK*PH_j zwMssFf}<&<8uP0s=^CrOnr`D8N9IGy>^)kWE{BBao%s;##>2~LQSb7HAEO!OhaY3P zG(OGpV`7xu;m24~qKrqoM>c@{huS@c8}nK69_s5MvgY}OS$r-9T3T18YWLBo)iY3Q z#yB`9)LQvco8t_6#@m{Sjx2F2?owRduG`XAESO(gKs~dM=@!vM8;5x~08J6=`Q?Pd z#Um)3OLWXmu4~r76?NQRV^5=(_S(hK4*ck?x)<*dY4KLm)>yowGjA;30`Oz;9=+Dp zz1K3D^?o+%mFR5E`&16!ky>ok*ngb%1F5v%@-M3E7HPG#)nUcB0`gOrel(}8iqPSry}&0t^;x7Y;iNm2OCyQR&JqGOQ{f#P ze2~H##izL-WVcKo4{tt#It0%c51$88zZ>HKpyn2AvmFk{Nn-oF4e2is{F-ll-QBZ0q0ysr@zoSc47MIRQ{ zP&cgx*~Z+WMYore%O`=_2Ki{FxTXNr4i6PzP- zIK1gGF~?$<&SunC79T}T-q-G6IyDBfBzkwi)HEVjsOftQt63i+#()0&>kw(s=EoN8 zv0j45*F3soH1Hk{=0n-{I82L3ee8@(>60dt+PXW+5^q%RWHQe$Ptf5s)q*(_Du08A#2D)ZvY@GCX8jCf_F49z? zHJI-Z7#!i>g_qW5w3UA5P0)c)KQr26hjPT976}C%xnV&ow>SWJ)Prd)75D zwlogiePMJ`ekk*m;@H<*r1bMw3J39+A&z-y;-jn~PY8XhAlpHBEHX=l8K7Y1hb z_o;Wc_uc`iiz3!Ez2}ZB=T$fh&dz{XKXwjtc6F1Zj~Vn>96+`|tM@}-7=|-jm&jN! z94NDfRcHqvvmgXdO79Nk!)%F2@>$@4qC!lefj4o4i7U9+*DMH4JMYuC`DPH0WddxV zZu%pr(6V1KkL2&a&OvACPD;*b>flN{MHXaDvJVS%44;9zNTR%G?ARJ@2h_Nn_W$3; z6$E2`mOSPH;Rgj-v_kOHbeALD!!ZMmJ=$6fyX?N(IbnMdJPPK(JOtZNFQSN@7V;5> z&%U+H7X=F~7hI$hmNoj*&}AR-qnUv3K@j=)D@H%95pFU5gK4QmlHn4>SlvTZF!As$ zv?84X4Fa=KC~h|}?8o_*_kB$GSa@lCzcmr(9h@D}@%B9++2U9hQhZzKIU3@4-_D-}OC) z{e^42Aj}6HKy%}OpEglRVuaMfMkOFNIxe|pYs^%nfNUKqdBKL2%9h?S-^-4Y+&2TR zMrA%MDN$i7#9Wsh-g!Ll&;90m$P`R^DsFLsBOr0-qwh3PHq`NBDq)^Jx>!jJEaP<_ zxwnHV5y?1&B%b_|2+7?hr(v*hZvi={C$e-6J4DkwwG#}XUgi9HDlB=n9c`qLSMun2-cH6 zjp63(9P8=Nn6P|6wE?Lg3>)Q~4}%{`=m@HgYYc)=nY4a*&GFt}CjiG|X1JJ}jD`o1 z%}qvu#4%xakFWOl(sDXG~zk za6!{kZ0Kyd_Ij}J=2?Nele_y0w8Bn1=#8xE5g4Ci1Zim_`NrhRO}AtTV(RuGGTK1q zO&ns6ZOHn;NK)Y|l;Qbmd!6ZAaAki)8eD+Dg?y=Klz|W+#=caJ6W6RPhtLjH5h{Vr z8Fvp#nFhZdl(LDMlXKp^Cc;s_^`bSg1aD(Tt2lP4ao=lFVhDJ&E}z6K5ki&AKLpcP zAY2yt_8UeYY<97B$RZoWOD^bnPwQQ<7sfOyh+70V&&#a>1K+oJ`glG?u zXeI2C;i+somw_HFR-AH=Y$gE8LPh1b_>eFmOK2x1w zZ(GNLLxtIn5q>7vd_h>@Nsvff-2|HhQK5W9hkcLH?uS6BZI+x#gy5*@8gtSFpC=%V zG4Jy|)GGB}>X+ji&>sPgkaK~=7pT#vA^F*7~=zq|}ZDk|||>6S$!;|WjL zzM18L?o;`$nvYP>?DjLG@RnNr7$$Foi+Y{kW(oB5c#}lPvA`&<3^AxxS34Y>J#ZW& zj+^*hV#Nb$FM?sk3|iTfO%+-eDnyH55qcVXc?xsAs&XS=jCA+u>=6YV0^5X6s&f&P zgkWrgZk0c_ZA6-z|LHyS8Mk-om?%ClPkcTW?w7^=rY;x-4H&-iXLODk0gbCxt`i%o z&mk>qt3aCilLrE)W45QOWo(CIh%?~iraT2m0L1yZvbC7 zV;U|!l|ssx!{6Zm9RjiUe{P8UOb#s6+|--(JisgniKv3xZOG zcnTC3M0Hk4p#F4h+F4{imrg9uBTA%(k~~C$?CHhl(P8A6B3v6=5t+!IgEmH0c^MM|$;0RXu}nEF7uUN&-L6GE?QnZ2Es2&o{TgDbF$M9r%2gGQ@f-|Kohw$lO>(L5sYChA-sogn<8b;4#SDxb6B)zI( zal|KFuy@81?FjY|DT%|5QHtqQhZDKzBPwB;teZAsuL%6pT~Avlm-CUyUTIa}zn5lu zc|)vABfAyDAAw-Zo-1ggv+UpiZbS0EPJ8} z_CsE)XeI~vXuCvlSw+b@#aJR%wCFIx`n`#Z zvXLi7Sj$mf0atfi^%soLFcuPwJVM-uN$I0S`Jg*@d$cYt6PpPfHN0P9gcCfO!+l`= ziM-oX+ygJD_Q9$IuwI=XA?=yKHd-3Pz?TI6C2u*L*qNu7Sxd;-`ZeC3ggFv>$ zs)WfYRhZP2eKDusXX}~QueM3jBP%u!&dB0#MuecCpQRt6NTasofEFE8-}GIiv0bsm zHMZ%TS>ddY<*sjLhycWcJ)%NbVnbGR@%HK4eB*FVjNL*nR-i4tn5yD6Jr!KFR_0NpNVlea*rU#ZX`TnqB1$I>@Z)4E0xJ4=01otO~RC zLFtj-jr{$4l-aCAEAq(Y9;YDcc$Nt1Fw92$*dowMf%!*aE>fElA2NU@76#tEpWsB4 z>94dea;CU@)uS}@7WKA2g3uu9No^d>tyI_A5l zbwm{oT@WjA#IUhmAE(HYsN6k{K(nD3^Zx?b-{UFx#C14(CSwhjAw+sg z=G zaBhY;wt($_-Q-XQw#j7H)exG|_eNUo{NA{SD0V4a%`2yGM6pW&mpY?gqLqP+T?*=R z9_ier!D(5qv4}r-(aK?^3c?;F1{45lmwMT=JM*CnmSFGFGX}WehCgF~Ms@x|q+f{i3z2>y(*HvcX`9$#0Sg)jSEiQBZ~EBY%j)p4 z1s5RJOjDd4O!NLuBv$yxdE+NhFrN=m1!G(ufdypZyyZlym$wS50EfLZ7|PzK>eDJK zJe=%Np{E%8d2Am7IwR_Fv9Gb*u-aG|R>IV>Q%|B$?`ZCVMx}xh@4-&?_}CY9ny1|> z0@Cg~Ptb6P_22)*7k|NX%811WvDea$o^-EGCJ(su&?3@M0oYkSu%b&Ft=hOh4X9J+^EP zcFyA0HP&glASkB-Bb_@CyW*rveHKAyH%CLsEev$`XqcsHlvO4M4RY6Ux;=@_Y0K6~ zi33Q|Sz5T6SpIzih6MWT+?C)UtN7?FEqtDvuib-zu9b|KylC=IM)F}NPoHJcq&5fJ z>uXPu)8IoCthEDWvVczo>YJ8rRC4v7w#bNQXOXFF#n=UDv#YMa+?S{!-lW&=D6R#P z0_vGIqVt$NRPw|@XxXEPz27#~jvjUfo zB9$oSKIlck(_UpY){w`+D(6B5FF0bl_0f^y2`>ENa!d5jbGa=}bejESGR>1<@qloW zs`o%DYHom_KIU=Q-X_FQ-HlK^95Qja-=}N2s@7valgkat=qZ8|bct#otF@Fs^j*M) z=zipQh8N5l%oJ6VX3Y>05oMJ#hJB3V`5tlALEZ+LO${jB3;d`0CVbQQ18gHUvk`p! z!uDU-{tMfGVf+6$wvT$2Tg`YB+WuBmK@?%C1I6F8Izup?&gRjk$i%fEmDX~6i z*Rojgt4-$)$XD=n1mstaG71mKyE7ImCCPY zt7?6u$JxGZ(l1m+_tB#9aPp$iOabK)TeCmN^K8|lkcwji#nXT+l9)de{OTdgnATBqo^fb+r5ps{&q zkK3)|FFbCQe+L*56yf(k5r2Nx86V%KATJ;hm?bb!`}YDEUI4=jVEF$Zz<_*vFC4S- z+YZGm{qRaZywVS^^uvEE{eXEwnM~?GpmMA&-h9ptk>owPcoM?w$*Jq!=oqua`k|H- z!JN*#>KBhdxq10*!tiPiM{+f;Q+iM<0z%@LpE7rRc?e_|cvFZJEH1Y!xA)_Nza~<2e(@R%7fb- zqJzk7F2?nZXcM`;@5&}}d*g{v7i)+}6h3GeQTNGuO*J6ufsA**cRX_V}g_U!8+S-m><5i&9BkSC6;}koz)lfV{x)~ zyFce`TUafye6hdTVg1SeF6GJ(_ILGC?#2GrD*W^8?}t+Q#`79LqzIq=wi=9-$HVhd z5+qtGJp!T-p_JP@#>nS9k2m9R9NjBW{obb6G)#4R3Hxl?&JBSN5b#zYJ6#aX;+6k}Sk2f`3D+Ezla){Ja0EZy!Ph0;K_H}gdEuQn}^AhnR zK1kNgC*`eH|HQM5-}@710AIJLu z?)S0G$2DqFL6oq!w!7t_l~7KeMlspFMIT!fv_yqn-VG4L5cT(`Gp8X^sZ{1sL&Z7}P875D4}; zEJfHh06$%RCK9NsydN6;DrAvovri8ZyjvQY(zVTQUhM^=!8(r__1zkiusRI^P*dzJ z6!bmnW7(FDncwIN)!`Hy+R@SM7YXTZN+B^L z*a36s8i_veJE~QfIHdD2J@558mp&jambbj1%>mf140IOoK#U zRSd;qoRW(S6`HC{u86Ij!KU>THF#q~Rpw~hiVZWScjf`2iY+yUH}hrs3frznKPYn@ z3a-JSSA3i>dlq`-cBIx|u_`S#JkYQYm!awAT@`jqiH15^f}fui?bq7Jr2*&L*F?~%wi}niq`b!_*bwMyQh%%nrAcb0gt0)bY0h8+X!-s@$ z%tclcs%tKVbN02&CZfflUt`{)tz%3Kevemx%0kXoxZ(wT4*j++C!A$$OSA^83N2wc zymOUCpU0p4AS~w-xI+{(gNeVyfZ?tIX$WTu`>k51UL`pV0%dyHyg_GK**|y!fm4IY zYPwmR?K6@IyG=R2KKA#zV!*K319v%wpigssopM&kv3%ZG@QvjBbO#K#F zG7+2Qf+wVQWETIJAfx%FqTa!;Y@+0&D9sGBG|y5da#l^3utl_Ge7#FwjRHS(qje72 zrEp}YF?81bi*X(~t#WNAaS#V^&u^qN_{U+;9^S&!5 z!xlchKWd1`qBSU^tHC2i%YXg!apXT8B{r(RRDWq`SUO)3P9);P^ETV4y_|n7E;^ox zu;r+yX#G9XJc=BYU*7K<=n4rl%Zy<|B(gVukC!~kbP9=i-2A52yhL`@4%V&qV_mr> z>AJ*OQF1Y;*whZw8;2!~#$i}E4mNCzyFbH33ws}(attg;erA&V>E_za07hq;Az6NH zoeg|`>e;LuQA8REVz9az0lLWgOOO+T#+#aR(^P6`zuy&>*HpdBYG%JfbOaQM1J$m@ z`J6HBPLxVZf_Zw<6vQnC*VMQvw22fo)7U2uf#DP0Dt?LVxRF3)5Q#G$8vMW5BH#wF zt?f^T6RTSHYHqBhtCNon?VP2F#zcJ!4&$}2v4|!6An?k7Uzlc~dcM3WN20$YeU{0dqGRb}~o0%WSJPvSr%%=Jdj~_@ZxHYg^IGqGy4|11>=;IU_DDB|8Wk+JNK_v)i2@cV- zE5lkq%~d~brq1z4TRSl{jT12D+i7g5&ev;#hI#o!8H27bX`3wg%bZDdB4|YX4uO$< zV{lH04EbgWwYj45+A!~g->>?VI%seom^EvSe4&~o&7n#V+bztj`S%Nf^78JBN_2R% zc49LpG0|}(p>d5JdYX-I5V3;AHr>{s%h@gKcK|W-9M$67oUJrH&vN@1wxT)>G>}Rf zbCtP3w$)n|_!OOn4F>SG0X{t0LJ8G_o1(v1=Q4SYLqP1F)?|r5??;EALzh}2K+G_M zBCp_(3?E}hy?v-fgWC>v#yWpL&u*lKiH##zfOQ$nj?^~9fsh^JB6c{U%zU(|h3;w# zrX7l;?`(4m1fTj8Ac=6+Z*L{t24~6oCy(v@bFV@ikB?Jisic{_ude#xGU{SVCAQRT zYu2t}E2&;~HBdE(!C)NCXW>cAZdV`$qkJnTSdrn`+9{Mg`lY8xTHPb2stnH>4nKdE zGgq7k_(bgV6!k4W!vp}XuHmw>^?AO33BSy*xXTw365Ogcig1zXWdo5l#wWWys(omf z1e7Ffjk%saTE|WcZ?b8*w^;s8iyW-q0DX!{d>EgriiVX1WP{k(IVjlzEB%U2445m> zh)Y1impN?hyr$f1)?p<}%qET8(Wu{t_?SJ>@7zcf@HOpa>Tza{ees1T{@Mqdl`o;d z-@pGlHlAfZrr+B4_|_(xt-Ibv-r!~c41765>x%IeNlBUunJ_Y&b5}!`-Z(!C>Q!6Z zhoB?X(=-hYvn;P|s!-Q(dD^LZ&gKr&P{z=7z;5@`e&iG%Yx0GMC{tIjP8Wfk(s-5j)KJh~6%O+l9<#`55SZJ;ZV~j7^2rg^?ULSirvrpJAX)(vTk`h1@6v zULuf55-Zs;gk4$t<~`&r993CF8a|!}L~r?oR`o>4r)Q<0F`~iycd58S0!E{gv(5H3 zb!ORpq#frj*awPnUo!@XW}lKhHJP+w3@hOgu@psX<$&qrW!Wz3K+x{?T$4{C0(f4e z;WvIMLP@BW?p9+jWZ(*Y5d*}048gqBXaECybqM+$vy+<6jyX!4jcAT?I)|JXq<25Z za@t=$Bn9bjad0t$xzqRcX>k^=-SUq+3kwirNf!nL@4oY%CN z5o10or*9iRrC`gH&G4jkZMPRT*6Y|9fFSO9Y>Z5h=&>>I5x~0SV)k3@i!qLd6KZQx zg_ODCtd_C;uL3S}V7#u^)RwA=Oh1dVe_z52llr%#-n_RhkaOP!4@v|mr)$djjdVDX z)Zx^)7GqY?@jx?5&4e?uij}&7H@|&ax^IZ|8M*rjPk+MDfZp|6=!PHo2@`4y%yB@4 zjHeJ0wX!ci#TH4o2Mi(-*a@QU#%xlOD2zWmZ-*h;q(jmOHH2do365jGhQ~<)pUZ>{YWEEV6`ZyS7Dys={%Hr@zaU$PXW3=NOEc! znVi#FeO8r$h_bC+xT>-Vk7Hnvkd8M7u4&wJ)7%?W4vJ#f{Ekuu5cV~ z0flIz-rwTLsKZH=%Z;i|@@i?0x|QqpM)sXu0bFo?;U%ho^vJBs-G}6%p#!RDZnYq^ zS8{X+vqBkW1OKnevoxB^)YMAB->D-C9zI(OV{;)ISTp!RL`K0!F~>IVuLn*~^+`yn zI(f;8FVaOkhMmB{pRwAdw{y#;?wuZf*~Q;k;Tt1!!JGXPXJ=_(vqe3HvbEDaw&-Jv zz*oxE;hI{M?zr!w+HF(zVkM199j!Hf2cs$4s2G{?A{ETi6Qpn%)HY}xFII`;gtVdO zF_$}gNejnF!CV&RbTAE-0`y5C&<@o{0Vg;K1m@hI4p#N$?dlu&$8I_z;aeZk;oHy@Bn()XT*)NUn}1 zZW|b+?w8liTnt#($}g2DRX{UShnLdHTm?1fK3X=yJ<4^or!ul=g$?HI4_!VXKy6{X z@dsGkJxUBrd8iHV(D|z1CaKx##fl@t%LCyb-Yde^TMb#Y9I%32qv24b#uUU&PJZSv z!+BaSU?{CGnv)zNbVItf(nm|%OK2X+tnA`?dvgQF*w92a z-wIlXMx_qct6`CPuUp{V14h{*po3LSo(Gc~Oi-yktjssJfl(zXvU^zQV2Dvyms_TZ zJ}uohPRxZdv{2N4BpibG#xc6cp&@eqdy6o<;-=F*VcmF^M`k?Ru1iC5E&bGo4~Z|T z);H9f=H3_&j$~(4dBQqzjC=@q3JnrJM6B^vezp;40M))H=Lb(Oa zihmZ)Z96|5%N708`R8Rjk_=$N7Xb5hQ4jcOkrc0ZOuAQYiGYWLW{(x@s@$;}AqJ@i zg^2!%4s_0dVD6T%R#WXJ%B5A-m{m=ql?wsSHJ@yWkoRr<-oFB`tVvnMUqT+#lT~_} zb!Ovvm*8BvCAvAlbNvd6&Ic<7{4a&6Q5Kp{g8*hQ3+>N~%z9yyq_rC*(0KBscqOj! zFN0q}CF%NlDE7IUXK?g|F<}W*h+|nW0WiOPTBq;MHBK|yzyA>j3x0i{Bt{$Kqg*HC z9-^-?8Qu3;a@_Vc#|g#{RWh=8j18RxuzWVyQ@3Z9b^Iv^^u=UX9 zOL|Y0sU`~(o8nk=yuGp+@sMKO?1e=QwH!MdHiK!KYK0#^ zALRlbk(?sNE$Zx^R0yHi27o`xz8L)!)~8CtB0@^tp?6EOCf;PE7x@H*wIztNs&atx z70+1Ayu6|!2eaL5RdZMQ1m*{^KZ`>jfMauWtcxBYBEyu4e#;|-(`=N0bP6KATq4Av z`C>mN{R+rvt&jbePR31D*LFm^jaJHCtneof|M&lE?@H1%*KOp!PmvcWf1D&z=gDpQ z{#(ZYN>mPh&(7@X=eBnBq5dgF5(EN)z?Cy2kT*ugEK=OFmaNT!8nxua;^|%4`T2xd zurN*+Yj8EGo}1h_!0V@*+)KVT07o2fVGd|Dv|EJptmn@1`b9n&f2Vi~x<_BQ@mjPxaM1+P4TbD_^cmU=HV15ARKLarL z0Aq9uZ=zd$=j`CvcZX7V{Fe9#)5L4U@))g5#YTY?5CU||bS12M-WU>atnCP)fzYoa z)mc%R;6Q<8CT0P?GD!^O{?M`U_7ZQ*Q;xD_dpYbiH2t(AMH7&^$)cmRDYzDrgGlkzw+ci%Zx_PGKQfoGLT-#d zsKs`gs7jgwmJ?Z{NJzY1-dC+1bB3_52PryvU@$zh*p}~>?p2J#Fiyxx>zTSKjRl{i ze7zJiE^+%F(rgvtDS~}HLJA7(l;%ig(>$+c!3TCD6eaobn?=;060P%ALAcfp{8T>- ziY$r`o`YtGxV$+o@08SaD3--Z3=IV~T^wZ@mo*Jq2W*pLeGS?MyfAPY@*0uCFn-H{ zh((6pC_AsM1UDZr8rqrj<(Jt@f7Bop0dp}05#8ZJ{zvm4nK`spS`&SbTf0v}QH=xz zey;Qtdqa@AYVL6qZjEm`O?bCovrAn9^Fq|90zU&bZ{EE4RY z4|_bY7a^hzZcoS~udhMbEC!UP zO_z7T_tK+|n{P}hacshF;nBT@fb^mM_C|#5x`nmg*v|bjy{#sP;v!n+Vg+*Qlc+L~ zx1g%2ZpG)goA#Bu1(qppQr$qFLyG`@WHbN2m-Ta5|1~e` zozPzMWzBunzllnfP>zOZ>T&jd8Pc&y?KM&*Qa!j!R=HTxdlHw{ZLd4fiq6TsuDEQp zDj>FaDRCM#T@iQ zD+`u(aiXr%0xo^a%PSyiW-W87^Db-_8aUQqDYZ-!7d%>65@&M1ESn;+6cocyZu{iz z%epr{gJW5K0yBMxg%7dtAr?Nw!iQM+FB1zZ!?n<|5*FU;G z-;-iAI?N13v+1~L;a+c4o%cWBE8AzjK+wYzxjud3~YkbRwP3cyq(X_%#4HGj@clSj@yznjzJ5bc9AvXjVoF6 zo#{`l_iTZXj#S@QZtk0h-Itq*!S$SHqIm1=<6rp2bKNK@!u;&h^H^&>5KT2eG$L{kW6(dV^cW)TX(SG(KE~c`#($k=^NC@EfhpWhZ7*u ztMGuvXQnj?;5@bC6U(ou?eKQ#^jE?f(k4HD=qIM@hknIP&4gWlBxsoxniCn9uK_Z) z-N15e2nQqwJNT()d3YQIG$Rkk*MT)tL!{4il2>|KMT};>R4Wwi@>AN7AAvj8 z^oJ;0U(yWoO7dW^=18a2+tiM{rTef%S75JKploj83s>lg&*e}b709Sc@(4)QmHtYF z(qXAgVdzvu=toG|_lX9kV%ctY+!93yxqG9xmBrc-=+zcc1@eTWd(2uFpy?ZnA#Y-8 zavE4D9*4i_G$99#`N~GsJ~LI$uS*sn>7LzcK$LrlqkK--B1W1f-HPC3XwbIRE4bW< zZraNXZcfANnk3HG>?LMXz>8`)Ndz=g?L+r3QZakNy6KUkkaomZH$`Pw4wD~zOoZ)< z2Ei}`h!CGK*55$}V%US9Vn?e{xZ4(yTd$4=9Ky{?3k^*5uZ5ZKmT-x_;55BmCOGO$ z5dxt+`|t_EqZZce(B6Y0^H}9%I6cO@3l)?SLNL4b1rWFrRd`I)AgYZ&(-Q0m#e>|C z=}6D=*vW`sc`RwzKu~yC)=DENJT+!+Sb+7cvCrfE!38*G#d+SM=7W1iF>Cf{`gvN< zpU4^C6lmu>@M4)-)EH7(j}fUkga+nL{57je47G;O%%NEkoDc zap}IgM>aYh{QpnHtY@H1iSVSD^)zvwGOFHJjzgVrOD2U&;J_72$)7n6YnI7%V-W;? zO?m~HV$H#)4a#v?m{?zf80Ro8rwxsN!Kb*YIZL5Teurm7V<4*-LfGCOjqH-snb0s# zD0^LV9I#O;eZF%X^63;(AD(DZwR<;>1=z0~XQQH1%uGje>(7A}vW9bGI!zYG1}m&# z&XMCxgL9m05}HlqLBy{?k!$Z49cg1_zRw(I^9OTU@_1QR3U3}92rpir3&P85P{s>(AZMJa z+B~CzC*4&rT zhfVMmvkDOq=Lq~r2>(1ozNj9vaMlk3c9e zOU}_e>cfM1crXtS=HbEo+XA7$);SsZcqULiM3{#N^Jj@Lm|{s!&$F{>M#s01%2`9j z(H=%B;Z7Xi+w`^q1psuiU^ADCubiJf!}*@`Bj1c<(z@cv5347HA_Qmq(royj2Em(> z5I9YlSDk|?v`CxB0VipE7igwbo4V5muHMk zjwFgopO{!@VnthE0b;%Msp)#-%655gx_-p@#!pQg55C_`t}GJysOGQq+?D+W!HB^^ zit*ZTQNs`hcDf>G+@EP3?xKkD2HoQzr5ijE_|Jsp{kPmuc&wsJ-?$-~OZBm%65ZR& zvJo##>XdA(h4{KRyD$Fi&cN@8$_hen zIb|fN`QlP7$~==zRVbn1z;7_ey5xLj@0zYJvB~s6xvZ>pY+fmxeNnwmLn8nwQ8$7$Ibk{3g_W^|0_Xw|>z$$Y&#o zfCjkycV#n|z8Q}X552eI(ODqjg_uGp1^>0}7Jumi2vOtlSG!!vN-8IT|C;xowl(NP zi>3}Mn%l~vS_~KMCrqS7IXOcFSv-!ac{5_!?1_EWv|)jQmn*HDn{mOTQB%l^!)G|x z7N%qoeCZ&wvdVID#U}C9bsiPBlrc;Dv8WxJ<^%_X> z^d-t+-)Z&|Akr_6O`*f%gwZ6*g^YzA*l+AChYc>9hRHYti?7*(*-Z3UQcACnz$t$@ z>r0!+K=_|zAtvSX=bq-as+<3&pzU&14}o$am{oXvORDKSJ#egfiyg50Y?vFzTB~X( zle2P`>q(v%*@YqqW|@0xVXvhGUiaOSJTqOyjj3;{oH19cGlWg-A(xiLO)a7mo(5;3 zdeb!FZW9w0uT0I<&Zg$(WJUl?Y;V1IuN_M1W(5}{M zJIsaEbed)X|7OB->Rf%)+DzHQE>rEBduv=6qdWp63%V!5?W%o82#9xYX+6i62WH%; zDR+}6OsAT1U5S72>)wfWLa!HDos5Vs^*I-9S8||^!<`(+froc;;NGe=yOIcdfp5?9 zo1$kEIA`H>;c~&v3cS6@fkLca|2MkO=U*%cNj{M$6(;d_3ZWUEcWRHVnf#^JhGchZ zt6EzirVE)253IZ+lcg2_K)fbA{494@Muq0Lm}<{Mhx^^Pu9xlHgFI}T$bn%Xpm@Yd zeYa1)Dhmo++kWVD{2z=CB<#n`8+;9N6ON}a_&W=Oh(nY+{wyZ>R0f~Q;Q#l^AOhCE z@w%@sjp067Cf{=ThXA^z$Nk29Z(5(z{gd9l`1MTZ$-S!R^Di7$`z^Oi z?aO`n_0yt^i&zLfDn%Kcgdw2hXk+9gehu_Fuz|Vhlan0(4X^)04jvd>CysG(rs&_3hqPSf^$jC zRaNUAB0XOV75`!H0Hq!0P!%m!f>2OC%)Mn)WJ|WTo4C8XySqc;?oQ$E?pC&n9Lg*=h7)_lkq9MdPDev@(bwT;-ekz_#B|VE=p@jP^XA9R zHI#{MhSNCh%Lz-{1_D@rqsQf;{tzvg++qB^P9+f|Lh_9g(y83-rb?OH$r(c+Yt8Ac zi$J+mEbmXK)2czA1e>_or+8NZCK zJT8lhQ!k)=z)t~PbK9lB(&FRV7R<$r-`&Q&?1J6PkO*_(f#+4Zm1;nNJ)4J2AbXbh z^2v{D=J=O-JP@z#48~y9hL?e5{5Vo1h>%axlwWo$AvpwnvE^#SPD=9Ru%#9-Z%Mq$ zUWAQ)_IoCorH^;VU3t$nd^XQ=Skhn;2|o^Bgn76>U*6Ai5K7csIg$rhcvfh&z?}pa zy54^Sska{x;3^{Tt-*^5tcMxC3_=v=prY=?{=IfjnSB)O{YhRsK}d+ZAJ}$v{ZLi5 z2&&DHd`vimTQcG-N8ClpmbSb-Lx9>&4f~Yc=c_8=tv??*jq?z?tw29)*DG$PL{fC2 z5OHMVtNE7Y!Ca+y+qSELZ8IgbbN6d6Ab;;7_%o(6^V2~e6&&-vH&k6A7gZo9$U}IW zgWwfj=$ZrNw!j6e)AF!urM3T2ZWytfCi#vlR1d2)F1n&o3xGfPB2;sz7f)CEw+e0i zFS(t(IM-d-N5g^_ZLxbk!dg<1~u6pyxI%~GmmV}l#9cb);jzI2dq4M@@_wP zzbu!a)asMG)G9U}>#>|`EHgT%Y?U{jZs-L2m={QPR;qDY86{3amW2CEhjcHY2+|!! zE{H+gOqO8KE#Qi(1INdOlZIFlTFWXu@H3BboggEc2c+-g^Osm)+TxPDWjZ#&_2Cue zV02FQ4!HZ$2v=d1X&t56m9pd4P~J-3Abl||PqYob$Oh^biI=fSMuRGLj9GYl>vB}@ z+aJ;UXNdYfYJDSRT>dkKf^>7wl6)A-yVj}qFA4@VG?vI(<4*E_g8mGlf&`g z)vN$zu4`;8nJc8pB_&_bS^0V*?doL~x{{U^tY*-2T2vknV(Yz>0QEdI5cgmUW^3Xl z(MQ_Zo(%KiAHmOx0O!3u2$aWEJIyRHIgSx`rWudUWYo*)-mKb|ah)1m3*xH9t8Lld z(Vp!yy<=u{gU%InlF!~F{aq|`$k*7(=0tCcM9`2XZXdDr@Nv1Z2v!fJOJyQlrMk`L z3+U^v88x1(z(J^oy%>6w@>Oc^^fJ!0o*%>BPG;~(jEjp6-rpFhc(=x_JYP>N-}}2R z@l)$t9=IPzJA`IloqoodJpX-)I4dy=`=4cYVpfhn%bdile?Nwsn2q^wc0oa6CM9PF6IC^vVw!~XYg>A7B`HJy~h0pC5VItBM5#Z>yu3&K8!MnM)t z+zxT?>-i#spOC(kLV_A=HsQClQVrRe)o?+GzUxQXr*j^IeVeu0*U9ha-@)I1{W^A7 z)%+~r|BQq8J1Ew_KVPU`#(;8g)$H|9WP9BvLyKPs;D(_r!dNp9x_Wmi0ZgyGwq@Ei zK~89S_U#o~uL6<98$cr91GN^k>mPZ>Kdft625Fa^)q8f;4T$!=rwB2ha$FO$dGc*akNcS)fH-S25Aw^# z4F|2EqX0plVHjR6wesyZ%YpZ6_}`vBcg)BhS@_1Bw4&g0Jw%@ z9DRMT$dlCh2z4%-L8)LG!IG~mN92G!GvzSuHBzho3sj@Un;?7$F;CfS+$%RHVbdy+!n>vYRfDNaGIa5G1dd{|Ozjuj%&1^a8SDDWiI%+lDP1vJflD(sk>S54r6+bt5 zw!-Q!wj39Mbw>IKN3a;<>aGm2-!dy*f%9vWtp;jcusuuRNgDIoZkA9Z2kLHZ0|G*i zivqOphf;Of3lQ)U9UTy~`JA{;OljC@ZJ#{~l1qcsM6vCql)`rhr&WZTeeC=i)pp&g z43{_n{gi%)%1TlhF0d%}h+wngdcvn)Tqk3dt^GE296`8bnWQ?5@=vcJXg~!!sw0CP zZ$tz&344*{K*3_tZanF+MCN#L+D4D9jiNMu20euzk}5eKk}`K&P?O_80|c+OA$6MZ zc8fTPi@RbK4wwQBf7jCI`1cwx9LGwo3v(}9dOSWqY2Nz0A!O5bv9>)JiR3AwXfPf1xv&^0-yr5HJh~6YDBVCSp_&qv+T_KE zypr~kVx~}>M^ZcA-`0rlnA-21M4^*54g^i_Wn^NNzTmr-(~D@&bSSP$5f&w5tFG!* zfjfpu3xvk0C$6!#sm4TAL5>rgHat`_jOCUD86_j^7Tx$YRbqcke3N(V1_OLM&$2T+ zHql8u`5~FmXN9-NGko%62S|M^JI~AoJ&3fioD2+CO2B|d%!Z>3CM~hbuE~-W8o_cU zHEUbJf!NK@-Rc}5?<(fAt`6h8WTT0k9Y~(@Z{ETP?k#J$gKQt;t?c;b31>~=5s2Mj z6eMjHSXsLnY^voQ(*dwg1Xm4r;J9tT`oUGe8~ddpaF>Jpa1w#!ZNiC!K# zJbCXjTQ6K)z|qr{k@tBBYz;ZjjqGEw4EL!xvW}oe{Y-dtc|->6B?}mws6<@DFKL)c zs8!9y!Ba_t)qWI{7VGRv^2ttH_mJ(DQ)cT{7T<8nhs!CGv&}d)kV9J;~{L(6Mmsy7?;yJrQ_KBZB>^w>lXhw>K;d*p#5+1^|;VU|H{qx9I zIzD~1tE*co{@PXQ0sgM7S^BkjK~BNIww2Lp-Y?FW&tkngOGUo1r_H2Q4+ft_Fc3Xt z`|N5Fa(0U2QO|YaEMGB+Cw=ETYzeBv9lzC-;E_w!Zsf zFGPI*)mdbOHs6D`{w>jnUg@;8WLf`P#{wQ*YyME^XsknQbbAi6+b@L@S$f5N`?+xy zOLVIAOCXhOC{j2HS4iSu$AqqBoAzdr_m0K=(U0J!|3IU=)0=xgXH@pt-C64 zMS@N}VVChey5ZY8l%Sx~4T=ATCEC5uZdaotlJCdg2>)p&%rD;K-B$1=``F=DY5M!W zKpw6ST=;j$!@|PJ$jQdW{EyJ{Keqn>d;a8;|0meP^1(g-#WYMRe^~}%W#wW1CkDFE zmUTAmK-fG-cMJ3v27n9e4)E0x=#R6wb1y|djI4Tq?$W6+Oq;Lcg>w*~saV{C?I%mA zy?Pc(4ib6aRqGR%_TMD=^*jt*+S}xKK$S-Pp%>04h1@d^ zobeWB#_pp%y>}ANvCi>(>n_vbm;EJb4YsN`;&l7eN*)P1@VH6aR_P5cRMUiJv(skV zIOu5GdK7p47g2aRC?~P`oShM%{uP7tvdWZHG#Tp_yF$9$UNOy&a#O{X~Y||lQr}fvaXa0W9<`6GrscPqf)CB5R z+Uis8cEFD^v=cBlrEGht<7TOC!7vKL2{$yxlrtRFV)v&gx+Yd!B!uYV1>NpeH!%ic z)0q2!U7g49A!+d~nV@1MV2+RD8I0Qq0V)mKExOeK1HjW5^E^q}4s!eK*DU}bAvRba>v#c-bw+N>V`r(+@}M8v8pg%L4mv}gI^H-HF#=JxaAH6DMb7V z8E#<=fEn|Ws@oW?b?3sYKM|mlZTAA{4N8-(J)d}=m93*%>mP|8B}x2h0V&~^1(E^n zw+2FOk!$U`P|v;Ycvso_o1 z;$wZGcl$~{jjsnUi9Tw!Fm z4(aR!Zz877DvwZ*%_YWn!>Yrql_wyXl;51%Hyoz(0kpS6patE_aVC_Q;|G4T!Ott? z4P_88nQ=p7RbTWuSYH?vSr|OrRb{#bU#AD;o8n2O7u&vcl+Ch83K%&9&U6FGMgu!w z5{tWYa4kl&?4&3In(o$`Ex#Cuj@nuz5f>|gC9Zfif%hF^8Ey>T zlC-H`fWe!uIYlaFghiN6X)MPLU*{PY(TiXLP(IVzVy%1tdI&ExS=3 z-r0JX!?qFADkcHbDnHP&1gZc;y|1R*x0J9VBW7 zyQqG7K4H)d5LI~%mi9@H0hMC=F7`vihJ8P{1YTqfIFToqm214){RJBbdLh*2hV0kKQG|gOuM5w+2h9R9yEKwadKh_^Zi4w~%9EkF7)4+bS8uwkp4AbNGg`iX< z^UTx`arVB>h-qU^@1neAQS}{-*LmI8Z9qV9FvW4Z^2PBfBKY)^D} zJe7odg|-v@EO`1T=izBKq9}9yI4Xac-Y~m(hX)gGOkHBiITaoK1D)qCB2!9+Zg~#h zKo)pH-#a4`Q%BM6Tttb+{ONHyl=&1wDOsjuKBGGev7!c&rOQk%HWMm^NU>}AuF8rO z6=}0`U12JUflo*8QURuZne1o7GY?XWVbE__2p)~03Crosq;Aw~k!KAVQZ5^PO@hSV z*f`DjX~CPBNv8v|Dy(5pgx}E)9Qmy?B$nZgzTVLLR*u9f?j;+0uQ+SL!|0(mK}PvZ zK@e9R!=$w50KQreV=7V$4$ThmihG|ir5t;4l&RLSSO;j`*bq%6R>EEnBTyF#hL068 z6T8;jkbs-WfZxTMyQN=q2WDv(LkW>YvLMk7k;D3TV9CbC$ivLW#rY4(w7;AF*RhiGPb~a@jg=pXH5Qh?<<0)WjLFT#_0Nc@ zDQ{mY4!_x_+6{Lw-e>m$`@=j|3j#zWS$xgWZ{p`;I!wLs;E8OCw2D>N)}gcZt^YpT z9@@Kph0qLcI%%w%zaL*uzWqtt&im8-Te*;;&|3(+5ZNNq)AK9MStyh6ftSBem|Ets z;3EbC@+WeDzOb`@p)5BOZy%`?DF<$&np+Nw(*q=V4`zUPAy|F-DR?M`JaR|lo?Ke_ zmd$7=Cf#LUU)~exp(3*O zhx2UZ%?7v;%HUl75QNs+!2kY8SE@}5Ru~~@a^fP#LDER*2fUr|;zIJRnT{&}+u}#e zB96hSg9<1fLH2;!B8kIT+@&ULFiSuJMsF~xNfqoaiZo6|3GkC^VMn!_`!wnl(7THw!tk#55CO{ zA1AIFP8^nmA4%_#T_iO41ri+@qYcHc<#pv6My78FK_gI-eqb2n%Mb_7lZn{aKdW&~iI5|tky!hq|mvJ5z0 z5ET%tAxkXeC$+)fcte`ci&ZY?t=rMR)@~Jr#Yl*0HeH5~;2MT(nO5%-grID4B~~x1 zu*=P4D6(w-hPPd(vJ@qzWvNiTCRpG2UQ1We=q>VmQ-M>rP1}W5zgE(dXSq4gz4-{; zInyOc!qnC_#nxa=8Lu&|qtcom!B2it6&_1dHAL-nA-+75nWz{vNsGw?WBqRg?IZSqWyQ? zjh&m3gN2Qo^&h<3-%bC4cl*;J{eSD-SU8D4BI^I@h4{;c(=6Pa-2de3mbG~7^(2v} z-f7+-o|t>4ogpmZ5G2`c2Ma)XuJ84hUpZCOjKwiYe%CF~3-qXI-kyu*Aqd?pO-tb2 zp1Qy_RL-t4#n;8Ra=dx@|Ni|Ff7|!w_4|fS;R%82HKgzJmU~Y#!;~a{AHS*1VsSoH zH%KDKS3zNYTf9N~p9v1~TSg~kc0iK!x3a@W}83tjxV;2=Ev_42_4U_HnGQ< z`I#6^5mmtxumvm0_U4RDIz4Zgt+dUl(-SE^=bgHEH(A)quHXw9cRGlA4VgU$_WKnv zfOB$xuR3*$T)BvJMZ|-#1cLwoAGAgkK9pg&nK)4~pr*xSHx+gUbc>X_slaHA4y(IJ zUthly%o_33?F3<{fUoAy7eV#Cv8j}Zk?bgYn&^^*j8$wbMODl9HqxL{Db3$Nl@1RA zz!uM}a=p$CQ{)IZZXj2_ER&f+{7NQqhGVb@kj+S@-gM4ri8y8enGCMW7t>KPm|As6 z%>E8>za)9o$DISwdXotc1_+UUcIK#~qVCSTQ(w;g&|%+@T2o%IV72iD)W<1jBT~zy zLTzl)*|84~v{fkw$+GDXR8t;g03s8WY|qIyUDU(JVPa7Z2T5Q@@d(#9D!RfR_;#nr z@cn`lEC)DDGLP>mKSuNMQp7Kx*d0+`DPJpzPiBDYGa`uUtRIm!{Vs3vvcIA1ibrGZ z)*T`21Haaxut$cXk zA|R7sXzbjNVTMEfO6@>UzH&f9d{13KIP?HZbL8T>K(?(<%ogip0IkqPk%^c10$QJ- zsUBtn*;Ak-(WBfy4yug`Oxic&#=K_)kHYdo>%_l@U2|Cof4V~#=`0jU_(^4Wg_g;d z`4E7wpsN+^V~HSBH!bBuGN3}+BF$&DEq1Fwv9A|Jp&>Di(=t*KYt>Q|VEV06{$sVx zbm(TY1K{1O3fswA4e16o+6`sN76o->l;dzG*pim}0nONoIr2mbkJguAl%V<0+uH7QhaIx zm-G%5u4rFIY`c)fUDPT=2yh%k5#dq@QMq_C(mK()89e$&&z89qpaZk%^C{7@0dul^ zX3x%o5IFEnk6&|>_tT{jXvR6N;Aueti}?V-O5M41%7yMP0_|x^Y~^IcAInanxjI;& z{M=%-nm&_%@%)Mk2afeqEb5T*mefnlDjiOWHfn1>X!|F!){d+LlWu-#6r~MLMp=>v zOi@N44v$7Z)mUc(l)1#Um=aYYkarkS*HG=;*W4f%m`|LFYdlx;sWDcz(*|DVI=#4Q z2OwU&!G$44c)>xy!6Xk#*pij65xwwciDyO_v>HvIego5M;DK@9Yv;RNId@Oh1BNp}d)G8jcPs1Wi z;Lp`5Mo?IN7-EuKgn=W$l)+UU1Yu2cQn+-Lgx^e4tn48$alV8CG^6gBHcS&0IQX*4 z1Dy|j)14W%{b zDUuE-7nqUK_Wn zyIk=Yw8l0Ay#qjF^pdMnO@lBcpPs)Z(KfhxBN9VFb2rTQ#?f1)AK-Huzs7Jwe*wrC z$oXn=X1POR&q#Y#nMf1Za&PnthL0f*-=WM$ zRK~%|&cpK$DD!vIe}FQ70>}T4D8s@{%)<6p=NfK~|8od88HXnc-+fMZ2S&$EG(F06 zaMZMy977Jh5`I72mrv@$o^=n&bBJo9u|`nQI!+lauHxM_=e8T#*QP9_dA(se-M!tX zx6O!jcYORP^ziw$-S-U?$zbo4>-U>my?5aTzJl|sd&pSsi=f-|`DDBJ7bt*=22;Oz znEoZRF;E9NPkR;4wjv-(8ANW}k_=Vefs8Gd6IUlPCc7Mxz*$P+@%8mJD8q1)PlQXk z{LqcOn-t0X00hXLyfHF73hQAimjkoR0|ykdRSdAVmRpzLI~XsX@#M{8^2Lj@gu~`9 z0^n3GNI;@i5|h&fvW?9)1J+2@hv=;JfygAw3N#BF)Z^VT{akIzI?ko}gFJaaRVv2I z8R{FN3v4coaQOWfaOzlFGO@gi@W_SQa23g?xpOFDY=I z{sIQ)l5AwI=cLf$&QBFebWSYYaYmfE!j-5aD;-)%fh<~10MgLNSWJMMq|aripOE7< z+O-8Pfi9xECycSBgj(ws2D5)=E*x6ooRs7RLVa#q3II3F*6!8+*HT?u{G$9^pt5$(;zf@Au`6HsMjgwR=}Kuy8_e(F^Zup?~s+7Zv^qr^+a#o zzeyJ3u&o|ARVG^Us?}QCc11}bG91$3>~#`q*>rRG57oM+S64m(ag-ZpzT?EK|ENvT zW+{NxlH1~^yLyq#?R`7n-&yVNc%1F|{PWf2@?B=f8sFc%X4a)Wcklw={@C&59kHzs z1hQ0-{$KdGKVqqW=i}Hp8JW2_x&N_~^Y5nrz{maReExU%I96t2mcQ%4{!-d7wvR{q zM{U@JCZ9b$7xL62x(f)x^CV^6?o`8`CBg=C2~fe;Pm{|d?6$;>oC?VkHH2Wfaoqg# z7n^N|ZWMp7WWPJ&_38`snsfKhT|GON<-flP`oF!7{#q7lGw>fq>@zCQzj|C9J_~i% zgxlG+?^fkrwNg?lO7;i05@cjpyyU2B8&=U})SJ zi-jp6+8@EMzDa-tkFc{AD&u7{AC744w?tbxKoV#5hl0yFnd0UqaD5LLZC6PD`3@pK z7-DL9vYz93rld0pb~3oJEH1VvaqNZw5Vh40PK5w|zXB~8-(|I?RK_E7X5g~_sj{7b zQ?0lQ?Smr^9cWFfLzs_jb)GpsI@0{zePwm8Ioy2BhA2snh)_o^esFhnvf-&Bfj*TG z)68_R8|$FRi>_(qg_cT0s{I$}f)or_Z|z>84wYB1khTRQiCeQw>7{CJ@Ag~wtN%-f z|IX}+ltK2@io1sHy-hC3JROY7_(o(meper3o1kcww&2gZO*eFwLMP50sN%l9{mu)L zj$!9lAhIB)a~M+Euhb}BK8`J=nOfxlWNHB5izJ-~>Xi0sg&dX|I&o~+RB@YK3@sj4 zBKTPN$Fi+3_nv*y+fx?j5R#BU_X~_R2qS@EYOLTMT`^9GY31x&OKt3JvEyqKM-b|i z8*PHQ>Tw`o^1PPee5IdSowsNlPm7M1X<)D`B{8FO$}m8-k#fGB%~0m&Mk&Ao{8Ev1 z`lPOUb#{#6Du)AC{oNKClhvUI8xjD`b~-6$r!R~=T~zmND-~{yimAwAf{25&2UN;t zh@F>MGjUVvrFbz29M2$50uHg#wlFXv*#w_FEu_c?j;l%?fe{ORk1cEKAj4TP^RpJU|*y9N(J6a3;0K?_6EE4I&l#pe9{_WX+%XJ9eX zZ4_-HZz9}vUzmCFE_v_P*Kz_}3G~JY!TXHv7m$n!!@wG*+9sX`V83{ZRjB*~n=1w{ ze%!&YDWIl(#sU9~uB9)g>t6(gVp>s>2rO5Fd))UdkD^I_(EXkj3>i=e@eB5jlKtB; z2+8ka)!GKeV!$C}?U)_W!Xgj(gjCp-T5(QDI9l*04DHL^OIM_+LDd{*BJsGM7qu)c z*w*3Pp)yR2IX#u?Pctb?ww8{W-fk&e*l9ghth9ms=7k~*W|Gql9-yie5V7aD6ltjS z3gex-#9}q*B}PBxAf#!=$_#(l+5iRw-1q4EQ{oKN7Eoi>f}^Kcn2JvT165=2lOTB# z$tY}E#a1a?0uZt94J1NA-Q1*f5GVB9hUXZza!e$mb^PFZH}IMRUG zh=i$5b16(COh%hu(WD0s0I3p{XR45qk*OJur=2gqSnf%86mE*2`>z@oCk3XO$5p=a zl+Q`%h+?gHjzJEp#V%Zd-I&ncZTrlexo({ng(-EU_4rVCfU^&;z5ckQTlSNMn~kJa zfe!+Iiyyf9PH;QQcjWON_lrr?Qd|9BG+=)a^#4r*_D}i7|7z1%|B&_mFKUxH{}dPh zZ*Ra@KNLTID6#(#N{j!MS~J#xX>OP`2}v zyCfh7*`Kj@+ff2~_dOj9`V$*c}(+OGJm3g6DK~PB_LhW=7l3#(%bo(R|n=_KF>pz zP|P*UgRZ1~A`IdagBJeK`$ImvQ3W(9VccXr3L8cNm({Fl6T{Q)21M)IjtZC4RbH3F zX3(S-ztx9Z;6Jx@V>=WfV1&(587_3(Ad?$-#Ya{9ceQ)Z%>RBsM|^Diyqgj29oW!m z9)mx3gK-y5hN_{zm0sR8Xpu!1QbwJ*xWydC$kxesVn1PPpW+1r_5poVBRRT zi@`4T9WOp)z3Gr-(6ISi?JP6sjWKx}8~F28=C7h$oGDS31vhlXT>Ho)monJ7$Z+JP zCT!ub7XE`Qkou3c7fC6bUsbVLTHich7~bC=hU_^}l50+*xAcEJ7`I_{z0&?LA4vZq zY)bH;x`vP*6i4g)qPrLe*V{d>thvC0QWnQ;>J?y!FDv?>4uH2@@`ype-Z!^OE@Bf2 z z81gb&U<32d&uivgkw}AF^=hqcO%=so|v z>`S6b=XsG`%=5{y+7sun2(H0_emfr72+c-v|Tt86maIeSCv zoL|l``b8U;zCXiPxSMI{C_#FHgwiCJgZBxIo~FO+JW+jKulm_{_V%|gCeCH(8(TM@ z3)??`7SbOQ8o^HcM+CS{;%_`A@&VMKg>b(pbG;B*m^pt~<`Z9rDG$@vCKS`SQQcbN zu|SV48Map-dT)O_pCLv0jpcV#5JBT*$-y}RAaxcQPz(bNfWWLw2%5b$*0hqgnkRE` z%FZQc_0~ZRz|+sfZxfv-2+3fZQX6_ZRw5t|QNwrF&x>nz?qg@SOx^> z_bwq%fx^?_Bz|{rV5>& z`3>SMxv~TLczI$YU9Y)z-S zcR7=z;AELJ!tn)4*rk^rwMS{zC(|0b2C?{4_Q(t%mhw`pCrX$&!wDM7 z)8}W%JcTSpw%p);2h#Fix3ok)bOi zD!R?!L79>vWvBpHm8c9+3gk#$$S9ZW!1fJjuA`{$o?r#+Wwr-~|AG*xmL z@1pD4V|@@KY8ALEpItR{5Prv&Nbtl}Xj_H%Z(I$gx8?GD%-nQ-q4J0?&!=ivv@w%p zqf{q>-fUr#(}I%7U%zOUQZ!ej<=E`l+7pxB+LCCHz#4wRaxtjyv*A3b z8V@dUC8c7oa=g&;NfUQ*SwFeuv|28R^_8R;{C!~IAil#Ej4q9d;x!wLNh@i&IV%Ng zGv|{SEyk8yq=nCcIPVrWk!8!rSgcgN959b|n2eM*O@SC$-$o6m#^SA?SaZ_p$E$4w zzPQM-#im$kx)cT0WtIjoS7^!i5u;1RRz@zTd@;7{06lsCqxzG_`Q#yEY(B2eB0J2c6I17qY6akEhuoDa0A%~2zH;7*RN)6 zWi(`F&wZ4VrNvS{Epu7s_mZ&Bzym@mCV{xm3l5}6uq7B1#)4=tmXaj4j_vAsm?OnC=LYHSC zUntmKdaFbDYfMmJy#;!jN<3akD^lz1T!&f^rg%B@mza14{HrS10U;ys@rQ4C$@AuE zyTEA-R_cIE+66oHsl`VuK>n|f5qSa30wkt}vbODaIfsteY_5>Y8Ld2kyft$kG4jW{ zwJFSH!^Lm+n}-*`k?^rrBAJM;*)zT7?NsKssjlk+F6i;J zJdKb8;a4@8KLc*kk;>F@&mKxmop&_zHE)Wcj;t;FjiU@sEju>#7&~AXJrXZo z#tQK-htil8BIpRL4zj_5kjaFgFX%`jxNe%(dS^?9v|eYO>|?FyzmLLl;;!-Lc!M#I z^W;*{`9=GEJ*hmxUbxL1&lQ5pZ=fgW@cyi@bI$*pXxe7v@Lyo}A4#2mhuxekjGUY- zALH%*XGGxNP5%LQ|CzV>YhgF*ha&2ap#gt62It`9{AUDLldVM)hToi}IRbT9dTSQa zG#tfkfCUY?!!#Par}0S|=XVAzA(xS;Y~OV6*jx==3FPW+Q?6UKWFx~lKlJNh^tjtO zz9bqo_?*UMkhq7(>i6|{HS%8KBX!=`n@{3=EU2jG;)nOC#2Y|tb`NT6e&P)h31TJe zX->ejs|50t3u`DNku1gDBW;c=j~hiibSfAa)M=B^qOGjdfdXuCYkuD_> zeToYxNt72k{N|NGZ6^@R`!&2)(Y>8sNLbZ)YanyvA`whxTKiUsn}n~W^r5|6Vv?h> zWXNpreLg@Y<}0I@(y>ii*~AZ}|ZQW-XlBBx_9YFH2o^9XZr%6mV@ zI@ePHR%li@$vHpRR3~4|+KvLFtQ82K>kc^-rB?#>kv6B=YAoQnt$lPyMOVglVnV7t z2~BdW!KTcpN{2v8I+LC_f-tOZk_LnPVOAJPCKI7dMF{7%lZJ!`Id7a}G69l{Jy~P+ zkv8APYF*zYmA{-<_p0Vd<6$rQ1XL6csx;|C89Rrhm2|}070gc-50QDH!b@%IWy*i? z^XuF~toz7ztsXvfZtACRy!&*#LSO(kJpV;K|0DMOclDfwgN>1co12~GA1eC)*#3i> z{%1`47q027AL^jL4?g}Yh2CsDA1Q%7 z`Y^0i(rTRsyQSp!Q$MDjRB_if zzs=A%oeLO$F=KM7vbS@o;EHp`CPsWQE{SjZY|nPeQEkP`pjk`rmtxo9EPY}3<6^S3 zX2n^jR(H61tyQ<*1X> z*?B{<{<6gUqI1-u6hYe|_1K`E=e8A0>qQ)kDw|JgWlzsy&7NDT~345s>Q4d7;^+QHwZO??-X~&}4i{Lc- z6z?TT1RudjlPvPi4Y$TPkJr^q?mEZE8Wh>(R^0Nfov~1X?x}v|6x=awqjJ+f)XN?o z6vD%tGE|7d5yYnNu8pa1FE1TFKM3{hL`=2Ii4r2*-UNX5fhG14$j|mesB}@}w+$(m zlllODlB^2G6=AMjwaQ*+~{DhP>ux2)?ui^C??~mIkgt6?1W^u1lcYalw+^?7u>j!A~B62^<_^$alm}L*hB;=G>8KE>|q7J{lIS8&1Loj)dV2w&hXGA>V{ z2ksGCQAmBbJFP+%e_q0}6C<>>B2Sk=%r;GZp1^=b2K1ct{K*1ov=?$KoskjcQ=ZWa zgW+#3M-raVls)$Vpc%6__WaQ#tsYB48OIL(C@a+0oaMGw-SAvc&x;b&wu+@fa7^sd zXIh;u9(g6B&Fd9fmdbupLFptMtlD<7LI55WC<$=Z6%Kz<&N4&59LUC_f#Nc~maqns zr=#cNwRC{HQXNVQl@rIE7nG&U?A^-Xm`Y|l$y0W>@=3Q44#G_en-PirB-yazNA@v! zUcI;V86vY79F=?qt!7nC`J(i$as)^xM=gxxtT0pHDC5^7Jx)X*;MkGK&e8Umobb1+ zl&54nkj9wIQdPzt3X0ylGsb#@nHgunBbPB@1Kzuyfs!2PwZ-D5G>Xx;BXW0~E*&UA z>dRg+h)Of^o`()d)PX2Rtw?cv+Q0+};>}Ip(?CbRkwuBXWw%JAk)S=4ozL^Us>MP< zR36O$iBt2lHnw}B?U;T0<(;c|EOv|h64w@Snk#gL%*-cXr0AFV)FQy^TLGrvA0kiz zLQ_j{Fe~#$2`otap>{st(1)BV;(hYwAn;U0Gly(c44S71;wU~w!{XDvkFdtZ|CAtc z`VL*eJK+fpt!{EQMZZv;8)Pg``ed&h06qof`M?ckBTWu`s=5zw1D6l+N;d_0)ev~k zZXJWDWG5*gZfRz4G*6Z8v`-X$Foh04aJI6|80D;ia-=JjFiQ_>a>!gb2=RNu7eF;N-%*D6$Q9#O2NrX#-Y& zNd0hQ7Hd>bPKWIq`4e;+l}DGZBRZLIjR8HlTbd1otmI;F8x(t7!@Nfv$Z0AIZOGN< z3U);YuFk)~0Op*eLHCorpMS4}J>`jd$}E=){AwR71}}$ZA~Qx+JTw>&8PR848m!JG zw$r~z(wehL(xDpK{$n2e?>TnSj?mea#LFOQ6y$8fgAkLca|lnS$Pr@9M>QHw5F_?( zJ9wa15kHdYJM6}#vJ4jIimzDOL7dx}JCeJqwO&0Dc4mc&?nn5`LVs_sGwHlXue=xC z_gTJv6kQgdKNR0{1X_CUGbR14D)ppy>xmdSeC(O+^k=UyF(WRTsZY7GGfarry-zk$jmURVyGbI<*8z*$r1Y`q`b>> zE`kszeQ0G&YjyvKkhmqDszJ6{Y{r~h7Pg>4B{Up3FoF08EtgI0Gg@cFTKY|FvI09 z$>oqg06vj8JgjiqtGr;gE4r%+j1s?!ZGj%``>lb~67d@>{4k}u@9y#FjAq{bOjKS_ zRNc^YLHlDSys0V4QFz}O87QnDK!SK|0|lh|6{(%+IR>DAO@anGY#S$Tw)TJXAQH$m z0Uw&sEjY`I$VS+h3?n5U<{cCC@?lpb>*e@?y^Ju|0W}+L4!oohv3J7qKyu-Q+rO}# zW^26NK%s>)U^Zx{P;w48Dd|Oq&o?!0u?u`$`edbOLaOF_J|EE|B_TdY7UmIpTEFh= za!alJ~WELg#7;elY+O1JT`+Ixtv8cXg5GR+1gLC%CLju@PDYXvEc;s`m+USxB(WxC{ z!@QDDyY8Ustqjln;*O7~HQ?CFzxBVI)xp$w7g^xi1cO$Qy-W*{E5?^A zZmCzxuS=-t7SXfh0MEoVRJP|=0zmnXyl_K6zHw18ps4hj07&Uz&6Kni@4!-vA^2*{ zp5;#yw?GMCJiiD+T6KG@8o+hp1{osrpl;)molQj!mGKM+<05wAX1rZzarVxrc{Wiy z0%p~S&7S=(hfbv6y=V=-_FmF?3-p!e9B6~ zAS=MvT0e_Z2@yJb^@XGm3+8~>V$=>$CM#QfwGNO1vq;H?<_+4rs6Tl?+81I}z!xjr zZtEXNZaL?Hoa7jF@9#_AIAzvqg|A#RiUQY&^ELIGMXo%h0p6Ei@I<4VNrq^Hr#91p zGM*)WMbcy;(k8dqk)CI|hU(2JdI_)9@SY$g@th#Fi8&zrg&{4*AI<&Pk?tm*v5GII zn}!YFh4~AEA`pWKVb{f|oW&gT`l_@dIL&(jd$2AbXhqxq7WN2ph^$KC|0wURqvG0@ ze$mF=-Q9!JG>rua4#C~sA$V{P!JXh5+}#3%1ef6M2_$&1;PyJ-dHdYRzUO^sk3GI| z?tT5&>KbdxTC@5$t7}&M%KQT-jCDasU4#%FtP&PWVvRSQ#I01sg2D%3d1gfeVOm|+ zB!_q^L(ucaN$4Tf=jrfskz>rf^1(4h0h(&&3X*YzFmj?R)O#}P=hRx^YjNM&o6NYSM_j!Vaf^p-vcwj?N|$RyyXw>YSDBX>2i~SK$qro5P->WT8$I z^5VnfnVK3E#iR^hN(;uELng-gu+h8NiPKfWv@Jqwq=dAJDfx!n? zBg(kP#<|Hx+`vxkc6MTDMRlvs1*|~`v`y9>=@Ru1wR-P869*nu26QIsMmr`xil3Vx zC3RkeIuvADhE-cw&MxR&Wj|UBX5;7~T4V+24!Nj=IVzOvP+TyxXf6v>4)we6E)qZy zR(cwY4KPfkpG~H)%UJD8`Y$}Xq;BJx_#94-E=SbZ4r3!RtQzt$T=p6aAN5R_?_Cbj zFj@_M2lYu?O`?vT=)zus6YE$%M=_wmJ={;8Cp?qhbNMa1gHsFQTH5YLZ*=E92Q$l_ zK!dFxYxl3Jkt$! z%+idKhtGc610-3$9PfC+YDswXp2mO^d+)&muSyXNLucndO5~BxWH~Cb#drM*KNq!u zT-i*(fK>MQl!} zSuF)4-5QPX}6LW8C)!+)yUMV06%tL!9M z;nyB|NFmggeu~)bLOgn!m19k-;UYB$eTWmF?!O+&er@|IVXSYd7rR!7vi{wtjz%jp zzJ{;L{R~|F;+G!Y*Vmt~5dB49j{8&=W=7wmb}Q=m2kD;br#@7RRNXG;)<>S>EPLH) zAn3xL)bsHzqV7wKCg1xX-Wm!~FCqSkH{`oZ@_*+I;R3Spf`H&3ogx1e{TsfJKYWY- zr}#p+AmPP-u$cU3#Uy-BH2cvp(x@euKn7tR`JNWK4Hr%k&f>Av*j?^Ek1l1)xq5j$ z3Txo&MaydUQi^jz#XVjEI$S*8&wFI6E9WYc#;~)uPxTgW*hTnp=VL$bsJV6jv9*WW zt+i3ZyS?M$$ELAw1^Z4hAf<@4fQAB^Ri`_L3@1+wTSNO#PpQ~vDud%brkp2f+EKub z2pto67D56FLes8KHv$dKM|}Lc5Bnl~OlmU}pmkLV0)V~WpoPiLiMb%;N#27oD{sP< zVApAU=Q13VDkS72kP|qzxCKmS@bq48PdN#YDHs*MFviMl^nB|5RM&Pr4NQ|PGE%z* z$2Xe0)3}XRnS$D#KPIr*bn%IcyVIv*mKO`ag^3Fd?%(wlCmZuy;?tsCD>RjaA$dj< zhw>OoUZTP_zL0Y}VDd{JH>X3H|e9Lx-{0AHc$)rc>{!nLPVi6ZxnvAaL zhM4(alj$!mB$F6JsPV!;F{`YJJbX89ZSJ_t+6Z{mm(=#sT@6CaMp$m@B7#byrjIOK zWi2$4im6jUx!eai z*s-Rq8f3e!HeRw(9$`vULgjd62jXbrBMid^980$X*ofc3W@2hl1l9NoG(E}F_Tp@{ z{S4DUGiJU@Lu9QI69V<{j))NcigW@;Xa^5Znwjfc8KhO=9=b zSxGxTchfM$N5A)7Exh#LR2;IzvZzzO4{9^W$&xQS&_h~JJYh~p;G4oSiE9lmabtX( zp$LLpzg#Ia0gp%;=36a(gO3Rtqmxib%9DV(uopDY0}|Lr`7TTV+*9UPU(rUVsX3(D z!y^$tre(UcH;PbEf!2+7kOt*cUd@HCjfZ5v_Pb;gUqwVTcm)f+D`uoa%HAwmm?!;WoduG|~@(r+*o0BUzl3M-Hxt3)u zerYLU^wu!0&M)(fJGWl_RT%%KUBa_B-V!qEcuBM#&;uzfo@+a>H4{JrTkVob1|?Q3 zr%99`=>lo{_Hl$Vy6bW53I`XuT-Ap>1;4z_itPe@mg0!}jms^VGzeHP)n zXwbIZl1$vPPMjZmY*RR;Jg_9kQDxJdklt9S@JrD+LG!`z%zk|oj4H!V5T3AGf=s3} zt%oVYa^gUkz)y}F;T-can7!X~s%+m2G=Q_%cXlXCnzTvH{Mqx+1mvg}qVMnqccq{C zA=n$W(Ap%hYG_G-A#oS;1{$5s?^aszRS!~->+lPDv=wmD!IywCV-iN~rAUI5`I}W{ zu6F*oI-e5iwz;p7J44LojNB@;Ndh}2{q+UMva&?ac#TD5(}jXNqfKg~^<`aj;1+rq z;QZLU@^DImY7628C`oZD$|Yi$gKK*|n;RnJF-!0}Sg`z&n&MQQl@kWO_}yb>#OBxx z#Pbcj2{w4h2=ej07TADl>>QpCjH7@yog*jq;$%l8TE)hb7|@-lQbh+WN9)ID3rqD% zlUalWX6yZm1pBu$pbNl-m79fbtf?3lY5y6R}6Ot?|?(8?z6I$(&~{MnOES zMr)Q+!=rF^?%V*iG`_~8`!+Or+zl26gc9OERV?v7!AH78W;xH&>(iV2F+;(WFw zqU^b2y{ya*i7w81?W~)!Rn7iusx6D?^8n{aE}Lno2GbgKWsB#j2ey_Dsn%j7+PlZ* z3+trNRG&N@Roa>PUdqR&Th^=$rK3+1*kTg6E+dTbWx617FZOM!!Mde*LH8MW74T6N zSafW?%(H!f-hI)Frl-OtEmI2KJ9CU5(R^OcPKM~K+@{`DGo|&!u<)?4;L8xs{Lulc zEkgq~`kf~iO#G9>q)0?5*vD1*FEEr+yP6)o$=t)UL{?mQw7<#7FobWhfh?$FezlFW zout&S!06<}i2Zce1JtD-iCU-2>TJ}qCk)5Jfg+aC_rZy{x4@eY!5mbcs6W^$Dn&11 zdOEtJm`ekOVaiRR2{Dib?$t3nh(KAP#U}`Jr`z1fNYQM2=cOdeg=&8dM0u5(FHCTG z2^{5Li5#n)&lRq|tO1Qp^Y)g6@aA(8ym5Lcpe}f|98|}OwQa$@RA$1lm#^nKKCL11 z2KnNP90t^7NAAP&i%&BHWZe%ByHpX!N46MDn{pVUa`;!sRQ^xC+QW4!Kl}QHbODnd zvwY_=`&&#B`L%u<57rRLIJW)>e=gixam^@E_Pv0C{CWao;v>6*AUQiHi6!RXCHS5C zik(+0orr=CRv&dmN{!HfjC4L$+vtJ3M$gx+TtEXHqsdvaTFGrzlkViC6|Vx{<@wfr zZ3;$4=&!~ab*fU=bz)iEoWY6b^N}uZ8e44<+U3;D5iKqZ?OD@y6S<&I*spyo>Tu#!R9?MuCRXA4$;T0aUEz^mWKJ;Ut&@=Wg1lNEX@f5NG7T1B{Mh zUNMany?)F(FrV4VVdnK=Q(xa>%iUu4QS-?=+g`Y=U_ti*`H=0B zxAv2BqG6|31A5JKElrpN&5uE3uiSi}ln_4IEiWKjqi*CPXC=GjsqIfr_0|+=lznn$ zy`8$)NoL4(-(7X|?3gF;&*E_Z6+7bXK4n~80SV}4h~jeu}966!_bm)J4nw}_O&UOZCogK!p@E) zM$9*GXDQ>90T%iOl#HI4e6&mS_zI{bNEzzyJp=#>+o1+I^#%{DAlFx>m{7nF;jdz_Uf` z&k3v6*4u5tr9FH={=G9lD(R5CK4+H{wmOG8_;TD6_w-r*AXVi^I;CX(6MlJ*QeZ@d|X!~+W5i5bM`H?M|{k;)|A3kff@d>w$#Xsebt+1pp^P*E7-$v}~q zRR}_jN}y93(?uW=$2<5I$o6q{T$VSOL{+kQ`p6$&D^eHwOUCo+Zv5Bo1cNpHcT_kBGPyQMDRGVtpNKh99G`8gF1CbCV7e0A&~4^XD5<{6^vUz_+Z-xekI@5;@wib!ZqXHzJ2C61_ckyo z!eS2cI?$gK!HFfZm<&K40#cu1;~e+EZ1ixnQVXYeXYG7rD^89xr@@F)2gs*EH5DW# z_c;eTCwyi(_SItY1Hb8z0wtwA?fqvjU1&s}x{|?gnKODwdac|6;ubPVXO<5(6&4j( z_?GB7o6#qE;Q`T`MSv)e`DlH8uyH!?Tb z6Cu5stWw`CSC{J@G^OT!pAxE}IDm@85Gkhspmn3l&ee5bI~fk;jOn94-dPoLsJ(N! zh??r)zK3U8-}C(w55d1;4F$4+A&2!mKSWFXA^A68@Q?r6|6LgTktqEq#?YUroqi%e z`QK&?|CCMlQ!>I&QBgm|O8n#>fW(AB`uGnFp5lY-PCxnzD%Ay?^`uZC*?5Q0J}<@q zgnIANOjBse%u*tew|nNE!_*%>NsO^`P-bZicvno)brTGFkKq4R?QzCI+PH6ch54Q)m)o;n)-bNsFe$2~(CH;oo@u0rC`M`EnRhKVjgCTE{{(g z%SlItu2L;dbz_IO^@c&e7c6Vf&3)7brf$;Ylc)jmxE_UkkU!B5kXK#sV4$#pbL3#i z#8hRF5j7J<&)`hEvqL+KkGP2SPmwDM%R<~WFI0FXt_Fqbk_W$B|9+r~embr@O^Ie% z+LLE94+$j3lohcQKmsk((-IItCg{3qKa#vikLam(pSPDRO~GQEW$JnaW-Y@gBhnya zINcP;O(GiJ2|&*`v&=B{L((tEi7^y;8L%pByL)havvISrb>E)DEXfi%Y`>o#MSjPC zmvg--K2!NgH79r_(p6N5H4dDLe1tW7KqfpLe%+_l*kegv**39`V zd{-fJQTDT0O|j8HrFElH6$f(O9&(~&eoY{HW4{^fa0>vpV02c2VN)4(M;MKN!NApW zl9Ay^KYfx}J0(%Z9Dz|hk7?=(0=O87LGzlm%F1!G=8HH!EGL3!doN>!Uu{)Xs%Czmh&59$PVsdeBH{)Vmb1>7F zb>Ylsj$R9tX}E~Q*R?$n^!Xg+*NA4}nS|!`fkk4{I}c%e1O4C>PR5?8{dp%fWzq8~ zJfyNz{?j3NK}_wr7XZpjc*hd9Vup|g`35^HF6eK((L{LGB@H1iCN8Wesk4(PA0LtQ zYA(%Zg3xkAfSJY-Ll;BPlr1mo_lP1{=eRB&D8IE&vfknvA36+&}<8qE# zf`8X(bmQn^(zbi>1(R$0AfU-?2dVhINpIn}1|B)L)$(`=?=w2XMR|*D5AE$aAlR+8PbhmmL@E8@=jlEsU3#) zf-qu3qc~CKlB-$veO+<@5y5?~VAk#2(*y4Ai;WXd^4?pWKS9!eMUw|);{)^X@%@CP z|B(Fmkrea?5dEKzq}*JTTz`;a{YUv=!4TK*kFYuefmIq!)Dh2!RzNZNeHR|2AX_7r zzCnr{^5%C`?H(I=llB@<4tv3;3x+s4I~K(rh5dF#^TDo7E`HkG`>l^2`MUqZ!`&Su zyE&zLEpGie?KRq4f2xQJS+}LCI;pVJb9Ba3!KQNRC@$XBnJh>o0~J(Pk}aS~Y0-gT zk%gz8N*QCp3PS}Pz?9&Q*L();P*VQ>RcCIa0DF@RsWhU9(g4eV6`Mv zs`xQcF3&etZ!X6JzqI@@Mr1q6q0;)e1ZS90C-&H0lOWtQ0Zw5T9!lJOfE^gIRhV#x zvYFX7Ou8;uWxK^X+=jcpq`k@3MZ>zAJggB$h2}jG(hO+;z7=hO1Q5+E015V^LY%8e zN&Z#{Hzlk{%@DNG@&cfxg6R-8tzzJm=nVA%wj{|Ho!TWT_@cp1!YHUuRM%G0TVbX0 z(kZcYA=9Zk9?NubCcxZ;aD}A!Z2gxJ~p4C|a5Iq5itQ1_%Bw^*lUbcv4d#>tKtk^!iFaf9Ay)ZO90dPh9o{v5wCiGZm zB9RgW084eXs<@UhHF}Co;%CPi&9!pN`^%XWcbuCWZm(K*?Cj@uLJ-&mR78A)61md6 zV@DkbwsWv?-I!qMc^7Iqx$MNc@By?d@Ja_DvVunRKGqTbf!y*u0`$OZ^NSf6`|N_= z1<{yBijI7$gC4>;;s7D%EGRjg$3f_bDp;uKG#+A%9bS0=K6M^II0{e+*3zn*nI%i` z0BaiaeCS3#z=NV2TMjO+*6dNV+}$YJ4Zo=G71v2EjY_1032P%~!h5`WrJR)$_p8%J zviVE-7ERrfn+|TaSp&k*^nN^Aq|(~_s=cqQ935D2q~ZOHxLJ*k^Wc7c)V<|VD5>z^ znuykWYx>yFhWZ~qn&uAcaD+3B&LG|JM;)*!C$Tl@xEo8%__BKVWE|QtS z+uXa^JP_!TbZY+z^!_UjzrO`~{{XB1%b=GV5*YjkqtAa74s&uqO#dH&7*brw*%X8d zVc~D*d;(SG!t{&uz_SWDGd%pNbqo;1X{=sHAXCDGIB~q!CO$n%fLvgS@zDujFEr`x(e*!k^l@HhH?U_-`P3Tg;$Hg&g z03;9G5HJZl_^;i!`yS5qQ~9l;E(!Edlw!T5z7N)8;;T~qj#5#TEj+-OHDMgbBf;unCg zNMA9hiNs6%sshNcO?hcuzfa5Q!Xzz&KqEP5lUoauF^FUYj+e>$7IOZzJsew;gsq2Jlb>Y0aaK&knkX$l00U0 z0bJI>HFaxq3NT{8r(+M-vfR5!Sj*|mL%9Ra_M}|x^ zeTlGAbmhklIAO^x;7CV#HcIzUsDL>{!uQP`4)Oy=CpabNulG`yV8ogykapDJeF{d1 z%Lp5RAqVA&n^0*Qo*a%Hh81308-R7w)~XlXZ>R)HX_51rcD{j;Q*|%^MmktJGK!p( zeD+B}u$l>EBuP)NHa8w@x>e3%atpSf%whACxy_5eZg$E8>a~1ne?A(ni^chI+}se3 ziE$l3`8ljpnH`f`tCY|d8X#`LU_9+LZrs&EryF8o%rFgaVb+1};AV)68i~&xV_2p5 zC=!~r4gXo6`52>+Rhr;_85l`#fS~SqF6$`$0`N;IW@%kRy7{PFB>YkeT{-yOu|%X6 zVHF&pnWgM1f2WPvk$KK7%`3tiC9A}|{t4YTEUbfWWcF_+EIG4J9iAGFIKY?45FAEC zmGg>lz$V2S)M-M!aYXlioE&n$&21fvCC7*ma5hJ_U(!bw&vT{;a458LcQsy(4d{U)jLnO!hf-4Hn6{>zwp8W1SZ5 z*>FZX#%<)oTlfdhoN7Fp{+s^TX2aD!7N6*=`@P2xcd^YbcmAu8x+|ndAkuFPw-@aD z37Vsvvp3CG#Jk;V{t)t34?7xM?pcqA81<#*4?$d{yzSJ^Oo4QHI9*Bc?l2Vd1*)pq zwtY$asv7d?siv{e7A9!CXnIVAyiX^DJfa8m;ja;up}8tL3v7*XVl03apkdJH^$Mo}M9JgJPl$MK(U~wlM1#wVCVHw#D~%4&NAx zG^5S+u~RNvrrje4Jtr^?2^fVwpVtwQ7ih10^*qYCt297m2G>^J1tijsGanO{NO{>d zP5*q44;`g?eXq%Y+x|4E=JOtW3sUWnqHR+M&wA789Rssp``zgQB=4fi-@kRBdcAQ8 z`s(@h>f4vMnvUn82+zD&MDTPn*JTl>oM!E*|>|kM2CUQ$NL8;&Esfg-i!E#xH|-^n_xA-sTJ>I@o<#z1^*r2Imj<)xD-@S}vU zjQ6-jTMDZPy?=CX^%+)O)(Z>;cWvdF9kR0JRU7gT6N;BVRVu&_>64I6fj@DV5ecKI3SOli*Y( zJv|LiVz~E`X%_)SwamhR=`*~X0PGXR3^VxmdDTKPifRp+ZK>T^$ZHJM`Ml;N$9x=v&LbPsv-OEC#wH^8I9#@5%w~{& za|qq+)}pd7BtQ531J6tv$F@fQei=0%F;j%X)i{2b0Z2ivA>_SN{nr84ls5SS?qryV zNppBIr|oxl*ooX%2$j}k!Ef61s3Oj+d3MTQ9ON>}gLnuw_vK4>L%s^1<7{86XDA@5 zsLKn6puu8=9wwY}N6^^?Nmh`-3$+VKzgD6IzVj)tTLpmZkr&b4)!Imn3?B^L#_I&O zGgYy?@mbS{yX<~_wtWtNK@ivQ6}Kjz*Z#7;J!KI60Bab|IFyOl)`GG?KrS8b%C#Z{@#StJbsU5g(h(FiTy!WzG>XSjw9#ALcyc|njx zOP;@aUIVv=0A5H_;?ytSH6Rzq!P!h3RNhj$tn5G!U;RAoz@&xy4UwM5Y(?l0Neyad z0(hnuj9=MH9G^bpm)g8};qzhIVQbQ4#LfA6xgBy3Ilzu^KZpEa@1QEj>Y5}Ci=AvA z|33DKj{cox$R_}DEb=2OT%o7Y%GS|udm7>uw~5u>tqxAUS1(z9)IL_rz@h7(9)gL$ z=_@_kjrgjx_5$ZR#}Zlw_wmXeMsfzXrN3bDB2QMm{Xrgrc4UvY8nH)@)*xFM(Gvd- z^-BW@WSzFeYkxJNFd=dWK8A{hMu%K3(Za%ZsvhRug?IA_e0Zf&QeFgOF#4D#6j?C* ziDmCtccNNLe4s~5&x4XqM&upyAuzPh&8+ABC!dJN> z9~2c%fmIQm=+Dd^+F9FwbJ0>PG2yTjl&h_s)i{fo(!B6VVs%9?POiHeH zW2xyM9Ut4}8cSDMV(qbgQ^nHFNStYQ!BullEe9Mq)Xs>1BIl0!N~{!*ju^8RV?3uX zG*;Ro`S{Fru3Nr#rrj_Em&QU+B82_5c14bf5U>kvhT!Z5vC;QROTR3`>k%>OmB)c8 zA3sAG-Ga+|AvZUKBQ2U!Lee&LLwou+B1wg8#6UY=fvIeD@rK!4H+CptfbqktjS?P& zX?{RgA^XCW2!;A-KNjJN&tsgC1=v1EJ!~lLUF68Mtdt(_(fzIZnvaU109irb*^G<> zFU39WNK@{$oU)c;*XwS?@~(AHhfS9Pg`PTwHLN$>9QnFP<($bwwNA2QQ)kfMguXsX{$~i+y4jsMNyhRkz&St6^Li$L2q+nbj+W$e$=v}ft zX&<+1$4J-d>s7R_xvEVMKWqL^M%6orYQRc-A9hdSEz;FDIWF@yN$1OB;H7g&2`QKM zly9o-QayA(Op@9u9<&CTj-I!kPb z`#Tc@-ipWT?P{O?(F=cy_m7`@Z{8e0mRM^#N<|-eR8Dd1b4cx{sDa>?L$6O<};!aNpe>FS)liJyoNY z7ey>ko}`4bzne!-VV%tB;Ij!sNNTZsbua-sY%XFE;FzQOscE`e57=cW9t}`sJI2B> zd0ccs1M|%1kTlX36$)ER0A7)Z*A6?ZHT&b!GxZEqhEt{c;TX;ZVN)F*+O0hxyf^XLX0XiLF3|#D(+V8J z@(ECD>s)%6K2LhdIsJMXBm5dKw?aVp5pLohvHFwLXA+hmfa#0r2s|vE4A>b$H_ssx zZD)qzptVhMxPSq;0IREfWe-so?h5vhIJ6;=$8& zt!N;`?n-?XtQf~pxs2K%t=3bvIYwgL63_N(P6cCEL0IO~W!esH^M$!Y1=FfjfKSDs zd!_e{`61}YpH`(u37*So4uM~iC4;ht9gzMJF7=qip^i1n$?)s)=DK)oILrd3VUW!F9ecP{GqO3q{I>v{j9iZ{3ZqothTl|_u-3qpA?b3Q{;e`a^6!Y zL27t7Iq%_vP+uL!ooeFA%}ai*nhhea%VEH6nbyUtMEdgD`~t~QRb^ZOF+A(K!n4q~ z&R?=pWDR#N9(y@U2<{SXl|4f!)FT)N>5zibx`PQ*!d`Z>zOI>S(f#eTv*`Q=vPi6^ z-prBuAv@)}!)6GF+a71ZK`rXS9oCcUR0H-Zzf8=|g}|21=>@KPjEJZ1m}1^llhLIr z!EJQMZq&ut@cRrqX}QyF(y^YBP2U{D3>r#aT3OE8XU@fG^RnOqxkO4sS% znRNFVrV$G>td>>Iv7~_kKreUR!&aH+SIFoLXzrEDXL9>f@>Kxo`a+4Sy!xBLl=#y( zn7qWS6AXwx^BX=l>rb-UgEe)-95A#MzBi@WN; zkU^8-4m$!W`=&n+r(-!L!i6CNv2kCrY}T6UqSy`;Wb;J@*&(wq&Sw}Y^S&utf&#y1 zuONekt7+Lb{pzwkcbPC!o);Z$(Lua8Cyjtf+MdKk)$f?7<{#)Qs@VG!8HcG@zc=h< z-m|rEV?&D>8|R>7mea(LVBI5-{pL#$fDLQA5kcexdGrkDeYAlFa)66g`?sW3T(ap< z{N5cPA-<%(sCHZOBAkoC$IMU0>4F{BqSYZuF9WFOpT`B$8+Mwbw<0S9x15fg_9F#O zrOs&(l@)P|+Y%mFrN1!4p1(DlJXf$;tlu@r@fF;*fGQEksnWZJQhPhc1E!1+zko7|{IENZPjj!muCbVFa}EtD*2ozy*Vg>+{CvM%Y-|}ic2)CjL#Rz~41AQ* zSET$p;+owm)Ec)Cax2AEFl*lkT`3J7ZIMvaawFI9L_ja|eY!#~#@uS+B&0f|;eG|A zOt{rUkaOq=yy)jYPsr6Iaf-I1Y-R$yR^Opg;i`5&VJ*+1evimo>-@B{&IpEb`T1PI z{IeNqiq`{cs>)U!!xjns@K_Nl2ODOMd+hKP%2!DH5@_% zzbV)b$7O-Am3Muc5n!>P5ukd+S6gjGvQ|RKJM5<5^qB`xqHzg7v=j6mO{mm5v_JC{ z#)=eW=za|)#KB@(ToDmwBsViEtnA$SSu$21FOK;qhnItkz|2ZJpJtc<+ol)OseMdV zCs=sp(gNqZ(z<%*EF6i1#i65~zRQ@5?~P1b(<;g9Xsu!15PlD@1f!@cC-!nCm&x)q z0&Z>4>jHVujG`tL20#MX5|r;u1fp^BaP~aUE@5{gTGAed`)GxTrFXpxhgIoSR+62u zi;y}8UQ@HW8l|?Ap8B-DLssz=@D&3&8Rn8zAcKmI97;bOG8#Q|KrW%P%<10kcGqRu zRbl_Mq7ce{XlItXA9A~hBs8j+F3l1crm`$9w$ek#@x66o;W*>xk82o^3s(+dUvMOc z;`pfr6W*Jms>H$&Tk3|dTmY*Y`Md}%0Q6?IMb!HV<=U5pl}`b$>?v5a%&NNvCsD*S zXYU_w4G4Y|^K6#jTr>oDbwVKp5=l`PckF%4VEIo+;eTb|BrysyA`dQox7pcbaP zwWVISJ<%p+mAO4Ocv$j?bia+&xehDcJi0X+$NoTqv_(-L&mc=J5648}Lf`k{{<;&n z?{Pr{rO%(h^uJ`nW8>rG=KZmN0`LDT`8Qzt-{rykQ<#Q8Hsqw@AHk#lgOCk|M11~; z*p}~fuO}=Zq$Nv5%X9s;!PUBwj7X()? z&Ar$7(RogkK)vE?G2+lXQ&{hFAAqfC$sLxd1ACOqrZ~tAJS_xTbtN5}|lY z__MS|6OopEX+*wUK{C9y!3ioXJ&c6UzNSKtWNkCFFDW%qY#Y?dzbN>+qql6Dok0GFAvk8#hG$SW%j~?(L=$?nOj1xZrB$)w?Bm*?>7NrSJ*}T_rMx`02 zv|WXa@(IQzNwUxyyH#F1rb_W!%%d8$d?Y}tc|aRRM~sM`!_@u`@e8%U#0xQKOuDSb z+TbKtHDh8%FA}WQ5u#<21jgpfJ`ZzPk^D246loGHM7F%}-TC;1Xio&{L~%D#P@xr3 z!FdNjFx=BsISmc^bs`OYVF*~Mu;LY~DAQ3LdeDY=a>B$7PWy@unS`^DDbN?7RGLjr zTg>UuSU4|PGMm2MqT%`^M4Q32MpF;MB+wL{Jz`jdi~2m&s48u}PWQ%1&yi1Zn^e(}{v-KyK_N{5b|bG>1(U!lcB`+{*o?^B z<8_khnAg%wAJpL?bQi4%0Lqw&?Vy^2d(wM++UZ(4BYI9^;K=wlV|)!3{h)5mlE&J)sMugwnJGYySbMwx}2G5{vtRJDAer|EOrFbT0S*{=J zhf7KEaId_MJg0~lfwog_h$Y#M;{a5;2QY~>O`sg)H{$1Bty1OW+s{kOK2hAl zghI^v=$)Kgy@zLQ04F@PeL&wdWn@mY@&Y4{uGf1?#A1UmS@*!Bb$B^+#OMxstS)v! zl5u+R%`qguwO-)LF$x^lAQ*fR;=0g}5gxmL-1(K{<%|_1tDe~``%~&%jb`4JAWm3G zR`SP#VO51YXW=5FU|tm+l{s#`GMvHVhKsW!$&mdN?IPdDJKy+;9-t!9x|II}-u@K< zAf#9^HxP3C`J)y356Qm)Z~rd&-~T7PL7Cf8F3X_n8p>VgR&ch~C-A4&Wv)C?6L zJEv7_r97rEq=49`IsSL&_uGg4ijOyf3>_yhE>96EE_0V}+D^tmCsZ#B7X196btDVm zu-+UpP!ti}->%bWNJ0sKB%nIMpRV8}^G1CwHZX66xt_Sglnp9^wXnM2d^`tg#e=_E zPP5hp>Ma565}YyE>FOKe*^_xA!k+TsByioAt)m7w8j>Z}s*-#*84l9$dYjZ#F}82N zLr{axwU@dYN8X-=)Y>X)+uh6MQpeb3#Ux~`5CK9tvOnXaw2nQSk4)Vgp>KvKC4%d! zuq9Z>6_nh^_U$8}?jv%_&|T&O0mRFFpv=F8z6Uw0%%H}$ZV8MN;wRlzlZ4n=s7WXy z!j0sT#)dJU%RGC5m2sh#6fQufYp(9}>i7!_8DP0i5t0EE71T!oTsfPJpu3w?nR7!Z z!Zw{A*RCEzftDb&dsN?17+E1R+r=E}lPR@FE~++d=A>4bucE*Lc$^;GE}9MxNdcm{ z%(%mr==yG>Vo~9o_-tLmmPz`OTdmFFSXuSB2UAsUCwI zl6^j{CL!RF7K2i^?spT_?7NBj3`0&g12AA9tV7vw2r*GXAr%8&aK}O00|$#299B93 zwvL{tI_nGotHetW!TWVb5qY-QvAtE!tXcC0Xh`6>fEgY@%>tl1If!i98o-s%sJT2= z^CBjGs;t;hy=$tV%%10T^L4iC89KLH-tLxE&KhdYSpQ+HA;shKi@A#iU7(5xr<#7( z)&uv!Q9S$C0@2fp_bpFcUymm1TsT{Rt#g!>S|hhb!w@tWgxb_yavGYZCE#w~~wGZkpY^0h>w9vN8Su?bTdQ z)XWKn_U5ai5c)wlBQ@pSl5Zr7<1Nk@J}^5_Mk`%BrBn&iS@cQ?SVOqdOCxgDl`2Z! zeL9IjF8h=o&6)Y(5cyWK-Jq8kpRWzZbSfHr zkTkPzaFhAQ8mL}iDz+Ep9d(dfs8%DA^q#}D>@Hcu<1+GT5L+&ZmWjn@Pm9HJKvb}o z%y8wPL7`QFm@2{$spM;6G_ywhZE>(ov(2H+YZ3M_wLUE-G)NLKCP!dvOIB&!p$myU zrr=j1_A2F&EORb9%Fk`FFQL40^YBjmEOZKU$lr(7KLr$VE|*swEMwBvHz5{GdF!H# zgto&J&UJTy3Q(4I>ia5Mc^{WAkGZ_7B!ec|Y)L6v+!Lv6!JD#61DL!PMZwg0dehQI zw&8@2ajALWP}_Kc>S5_N>>ZWiWJ|BvtD(ml>S{u=53g#@{vQ4dhoOj^a@aha?`od5 zgN`?6-}P?qWClEMN-NS}0Z)9B7sIfxOmqA9G*fzZ64*iwnM* zF-lQ4FTM~4v@PGEBPLW=ui+VB<`FULuaY3RqJ@vIMv2#b#&(`===1F?*C>ohqI(Y= z-TD;7=3w_WK!IQ&?gA+cZsCi`sRKItF*=}k+mNG^h~z@_45OMTRp3uHu^)L`WGG#o z-OMT3gXB4yK-vZ=Q}2v6S;OH^=YBtGR>Ocg`2!j~T9i zxsxCB!~Sw7Kc+_f_Ln>P@l5P5ck-jR>@RonzQvy7XEoe{HU^Lzl27+*TOLSK^RF`C z_gv;*#^8mdRsSsG1aWfzy5^iy4e81``kPrOZJLTo% z{qFDkX@0z1eBXbkKg%F$`s=gt@^XWIeJ{LxoE*REB#4uP=ht@yf~d=HGKlK_+8+oE z`GNd07d{T)Z|lLw$@iOH@o{s3e|-)<9!Tq7`vZY~?+?uP+j{|Xa(#!MpWX{(dfy|v zf0prZ{ibVR9&WB*$A!osOd!9u<$-vDf0Y4$(={*;?{63Zk^P1*U>*?nuj>m*iv8_9 zLu8;|*A2`A>G9XO06BicL@7Z$YO z-~n-%7@Kkfjk&>mW}ILX4#@g&m~a|{_#h5{6Jh;-IK7RXUH@w{0s}!H9%MQ?2}Mcd F{|EIu64w9# literal 0 HcmV?d00001 diff --git a/src/year2/natural-language-processing/img/word2vec_alternatives.png b/src/year2/natural-language-processing/img/word2vec_alternatives.png new file mode 100644 index 0000000000000000000000000000000000000000..1bd9f4bac1e06df5a55a49e5fb77e0a320efa84b GIT binary patch literal 51204 zcmeFZcRbbq8$PZfMM_yA(va**D6-4m9J1e885!9lBQnd($lmK%+2c4ALiX%rC&{L) zBlCB^==1&k^ZV=f_qTsK51iL{j{Cmu>$>h|ppt?lDKRZE0RaK2wA3RN0)mqz1O&(1 zPoILHEKTOM!G9<1#H7_u!@rlOjRFV=7zv~wiK;m#ERLP2eLKC=@~55QarA4Y=m1k? z&9-PV7PAQ!CN-&C{b*jT)5dSu3o5A0QpGOzB~e@)(hA_!T2$LFTG`tXp5Y65Fw>F1 zZI|R?BD8{A_-Sv_6}!{X5$lq);y#8;e0H$Ew?o=Rt^e|=pzFF#a(6smH!&6ad&i;b znIsF(y^WZ}m#bfRZGTF&zhhSP6MnY%t(e!ijY41{zck7V$sZ zW4ehcS&fX_qsvtl9(?Ak-?hcNK+Xm3TXu7ccOvhz9O1<2CP_C%nu;mcs|+ z1vUm$mv+~>E8zhjZMf~PwsSfD`Am)JPIg;kwu6?Zed{$(i-<#<6bx z*yke^mYZDyE8n~cNfukKc$RT!S5!?Lyf+LfhKJR}I4t~nSkTHfcg z9!2YhYjVj#V}9qaEDK%Xef~btaoCJzybB(pz-8^%^4gbo%$N!KgL3;h6}O$G%CV`9 z5$pP)Btf_QM}ZfY%Vmo)w|f?h?z>_K48N5=>n@wIm0)mNyyFJ9Us~^1RNUEF?#~Xz z9_;TZ2Wxmbt<>#U$?1&{k<$Lu>yPKPjGMM--u=6_H14+I;3+U}`OAJ67NkhnPrMs} zX!^T+v;M3h;}~74{^Xr*;e&5oi2{~;+Z)T`%sk?LXN%t{@Uvu9`g~K`&m*@?e7GRa z9646wV8@(0Is5wIXtz>T>5C}|d}`Rtr2mx)?ymdS7vX1UFNq0q+MK;T{6vN8hB^Mv zk2hSy4mjOsI6b$5>CSlEMc?J*RB`{B8RywE`o#?vPipXY6{hg}dqraw{VUhrb7Id;GH)d`~Era*Gt(|)b9fAfF;YCJFe@cV-6 zSqf8@lwSX391(-_M^+TtNVLI1Ak6jsrOqwitA_7-sDS# zUpvEdfzJM<=1>atZNb3xrj8IQ4y`I?y{dQgD5kfU?le?bjm@7^v-d7w)?uGL|I?d< z^Zx8Y<(OkUtjmtVsvpFdKh1RKYaXgsUQt88S80t9B2W&?Bv++>@4mNz<2C8Hl&4*} zEXtL^uQU*^b>DT=;bR`THa3jqbT6IetY}f~?rQt8%T@Gn-?3NY-zmc8yq;YB%2rhS zL$71q1Y^=k>o%L}e^*c>#7}R%)b&-A4J9`*qy29-+ETqT2gdvpob-&I`+sMazklCZ zsjn1RsqJU*+ExfS3%d7FHOzU!9bbLoYVW7e@i22- zp`|YgwWGD1Y&81|Pag|hp@XQp$32o1&%dz#wUJ4exDUn`jHOB9Bxp3;BXGgaC89nv3sNrf0IPwFhB63^d>*q zAW77@OXUe1DmC4d%eU<3zZDy5eMnCkD1G^NwJcVVkfUUd(6zrpA1(l7|As+e< zoLXhA*l@Olx4w%)eCt_z1FDME-2(QrHcCq9+p^3fv^yM?qdyvgBpF?c^EMh zt6#KKOe^d)`nk!}{L5TZ&aCt8QJlkSk>M@*Qy$xM*@Y2Bnx!U=qc2+MZD8mR`~#H_ zZrP|&Mufz}5}4EDwqMMjS4PF}{cb$Z+0^IK>9&HM5#!o(pDhl_d?LtYzsGAieED}d z?5=7%aa6*bOWuUEsJf|xrGjAC5AxVR@?xS#@Sda6uf|Q2U}aW~`sr=eW}3RHiW#WJ z=CpmVTXoK*7S|0%QM#+Yc`F-MJ+XF$}8wv z;wTRTHS%EoedVx}75q&J6zO{M!ETFtXZ)q$sJBUUbHaUB7P68r4Z07ei29WM*BE~Z zbvlRY2qtgAd7$lfU*_$Z-G`d(G$u)HM0vrLxLd%M8E+PqdwcgzT!0#7&Xkd$ zI`Q7!yplfR0L*etyZinpqAOMAjf^Vgv9m8ivotQ>Z3(yM%{i;#`9y069eZz&PF7|D zTRt%->mBZVuRr(VzUdV%?A5%OR|>O88piWedJM*wnB4hn@hGU{ijS#GQuo8PjzDX>Jy-Pn-^Q^6!e4Ge-!$ ztC6vf-fOjsxzx@D^cvC`8h0<9$t(tB!~flaxN+Selia9aW%Hb^m^kT{IFa|<6)s<; zxU0Q#Xa+89V6K`frZyvcA-73bupseVriy7)r(ajt+{Z?NOMzLHO}&y=mg3y^0d`T5 z@H4iW`=_mA{&TJ@h?sxGX1KAeF{T*aHnujB2X<@6$DXSBy&6Ln6aB~RD$$~^N3r8s9t z$TpMcq$dY4{$VcuLr*gG>%iX8uy=vVsOmY74RmKCe34d~JRQ)Oe0&GV-KC$i^aqax z!gFz7Qq+xHFdg$NijPSGNWJr)_nkpOL>&Esm63^}lHATpf47%kfmI{+JlMm(8@@@9 z_}WCBbrD<5Iy$hLZPVwk&cKte{yX(NRyvbwZBwQ?eJr;ze)4xk@rDmxU`E0hRrbTZ z-h9Nt5}WU%!V`qwj{IIPR>>do>rRiIw5J8J|L#kxXRmRN1ik+m+$;ZSZ=klmE2S@= z+49i78au8r`0}CqWk0SfqC(D(| zF|^^Da&_i(iLHo5%iu|6vs#lrHQJ;xVRmfJT(G2Pj=5eA--mSzztWK#?|#JqNiiT^b-sjQHD|E{W0PPJC~%WM8F6INtSqyw6L@h5JKX_#48d zTeBN70g-r<_yCKYDR?z?1p(ebB`?c9!4CJno%;xhL?og8Ja7qC5@cR_V%u=jvJ&&&}}TZq@^p zGo2|$YGdTA_b3%MmO>1RbyxF>>S#-ov&Zh+-_7e&!HTl{R58D@{2(<&E^^l57f)$( zLTc^4=U=7WqrCG0IWCeKM<>U;pbFEAV{H=Z!x)g(NTDiCF}n(#id z!(xWg@>3o$2mQw~3*55Tg6WPP_P@D18t)W}0^Lk%7lIndm6ftSio}>vr@wtfr*14! zS&*Dfpg^R>8r~J;E!g?hluj>7wdKvZWry1-w`D7-zvTC5=(|s|&Wf$z@<;9a<*nN7 z2*Za@X^j|6d4_(18fTRA-f-Ogi{rcl{A8<+#>DQys-|(2E9G~>^{9P>JO~~DYBmqp zXv$#--QHNh5PQ-qn!BXMy$+?}{*`k3O;V4pH6{CG7x~fa?hLHo*1Z4rwBS|( zMK-wmOFo(2f%hMvY4K_x;>qtPd8eQz?sPLC(=g=0%_X}f`*4~S+r*R@cFnt-Q=(nE zFFsRR(dqTR3Sd0wi3*cetY!Gdg)@5$TGvwEQ4neo zTm9D8Q_8(rSYut1R(HBTOWrOy8EOEc%ctFnf;F+6=F)zZYs#|=xf8X;rnr)IL8`tr zkCsP(kiN;kbzOe0HQB)Fe_y_wLjn$h0;()>+}L zgcy1H(nzJ#Ugi%$7UuCL(;FoMchI=gV-i({e^Yu^l%V3pSKqvQeOlhgZ*#l`VcHvPAU5;g1gHy`DA&Tp-fTcEc}oM)rv=guAF*DjK015RkY<#aC%b@xa=gmrqEiD0FtWrb3rbDjLV|U)6B_-LEKI z&Bx##(v(%+58O)ejt&vSF#XL)S0)7QaxSU}a|mXcFV822E%<6O|K8idJ6$2xD|@Th zzV>jwC37Z+v;XevatmC|3hu0bG_NajGfij8oR?%J`4`DsQD@z*hMY?PwqbhQ3#-Yt zA<%PC*w-p%(dO)RZ;F$YZF;+ z?z9#;>xX|{TAseP@v=uWA&Ch6NC}meL^OVE6RC>M*;DASv<_OtnIt+W(aCg%m#b+k zSI;ou?bc~?X*fIon`4x^`hl7v@0r{^%yd)y@n@)KL5>x@c7IB{h3qKfh?5+C-+l4p z5np5ej)Z4-Dv=#Q1QB_9YoS6Sf2O?7{2r&fFBf@waSIgC6jk%@pM*x;Tyr=Ve}SHS zzN*`e)co6rr{4nQunKddeCfZHT9ous=!WAOtVNRpHs}OP45S7LNvJu?@DrZGg^JFE zCcybr$;MFXyiSh|Ln`|yn`@Vdt`KM6<4)D(QZv6iOrRp0YyUeX(SNc z@c2)MzM`R$o)Zeb|M8#sDqW{AUq0w`tFy%Qs@eVd%9Kzk_9q{{doju!^GymRzbR)k z@@nDw=r^8IdmiD1F`sW2-PVnlThHT$22 zDEeFurKx$=V7%o<^abbj`*Ryz7PfRU-PVFm_E#1}_}6DLaA}W8@Rebvh4uTcc)YON z=HiK@H*<3Y&wEltt1oUI{|y+NdFoHnrNJAqe0N+2Q5u?^aXh-`-pZM+4;e|r8tYi7g1XLUCJrBcqMs8mez>3HzhXK zc^egm(2( ztnyfV?bxfUxpFTxRj5smP%llsX*-yat$De2O#yE-ASzNj`&l{oz@#&7TI?9=^6X=k z(krgqy(F*n)UZS3C#PQPG2@7H)=%Z@n(;d=zwB8}huzp)fY&fD(j>;(^T=DFoCo3VxEewYifa2Xb%e7+5O%L)os=k)47wP@|{@CtGg>+5=8Ol zMra?Ajo6;Rcjp{8cGb>5z~&}9eAOgc+Po-3BuuQ0U7D@m+tk(w&pbi3mjKg-sSlOn zmHX{O?P#tMUpe71vKMT=%l}=YHLu>na-?wQDh3mK?DVOd65;PMt@y2!KVw;6Zs-sv z5*QqTC=Z?>EtXlAjN7s^%-cOv1q6~PwbX92vHHo7Mu+7z<8Q<$)Ybdu134cmvu6sH zx#dl6Mi{*h*icQ{OYNor3XotZYg%#qjQ=*JuV1$oRsQ@1l>RfSe74rFH^Od8Q2ytC zN`9U#M{|2|S?iLF`)dPOPfY5>eD}=KS-Ey&ZvHuSo*`jLmjt!}vm3xc+!4;Rd*FdPrVEHxzDQX*f72cX` zI>jZSKdMb;**qVudO@S7Nd97uS%N28>ZU~bLj~FM8}E%NH(5H?VENuZS#BL6#^$?; zCQu7YZ?pFmKuh(h$jC4I@;Y}1L^HcmF1hY69Bd@?sEE1OZ=Yv1ef#KMH;H`1yaP7| zL*-g#@syp}0O-BNeR_U-)8W<6MvuY>k-;GF5|K)HoObw;K;-6Wpzx7@WT#JR9(_7} z(wqJ0)5+taR7anVzhWdg`t(ZV|6GQ#_4wh>L>S48jvantB>TUY`~N?7t2=^TDc{P> z-pMEO53WwPKl}0nomW@_JnWX>*~9Vm3ivrx4|+vwVchVq?qqAI;wlG=^d};qet-Gj z<2O|0!07)KJY4hyUI9wsl)hrV#G1thpV?_B*q`*QTs^!@*mVKN#SccQu=GKGm}r!8 z{x|oGHqo5A=D@ux#8HX((>uP`_4qrjp7!WWy?;c{zo`}Zz6)gh*D^Czi=LEMOg;#e z3@V63SQMcn$I1V@AdnIG|JqC$j$!4V2ObN9c`@bI6XU=zCzll!0o%^tu{HU8uLJ9b z9|oz%ns3}WJ<)x0=xe?vH)g$0))La^CeZ$u?e{*vq1K*i4qn3I$J={Xjy9jyjdLY{ zAbECRQVO&yt)jW~h4AG-WNAa)uk)U=pniY59kRxA!{)ce0BDiLkZu z0>hS&O`tgFe+yzxl|JK9c^7FzDNE(Kln19<^+MC^10`6SO?=b%aM3eryI=dMK zjoc{uMnBS0hlQ`zzvpwalS*RrJ%(;7B+MS?Mw#Sl<-tnb1i|U@Z+9qn%PmJLhGu)y z?RMS%UG{yD)5E$B8>2gFc9tUJdmq8HUp!RM|$b@$Bl}hCIn(kcpj8TFv$)BzIE!E zCM2OM8!orNbn`v`X45kbZ{TnsgderLFvf6n>x+u};^zeil3ae#;97uFRadXFnJgor zBsL37sbp8$D-^?S{diM&e7+E~EVF~uCr@`amr8$i#%m`%bm^-@h_`P}6YeuY8q))# z)pko^;^&H?o_Y2_ibGN7!+)=|uf4zEYpCa|?h2z^{^Ro-%*Q3jp{3VD?q6#k`M2E+ zzG!F3(d22BqenDtzCExI!B|$m3>(y@Wu3Pv)hICL6fTsO{-)3`!^t+owJ*ndT z(K{?^D(@*-2rY@z8kf$3I%_w^Oq3#OT!aH=j>(AgSug# z2ZQr%f!=fX&+^3jQ~IL|AHQVetNtG%pKX4o)~}k+Jw-}eRWx@Xc*SEYbw?w3K(IZA z%L#K4Evybj%nzZhF^m%?GjQVNT5xVjzV$>Mjb5cp6sy^>%ZJw!L2E+^)$TCvGLu+V zv^0jnZHVJ-lTCr>Z`;PNSX1lThbOxHiv3#SV1fDjD}HGMr|-lz-G`Zu*3Jj~$>|?- zzg6Xg!$$D-pO!0@Q2Z`?7u9XIIW7%P(^e!yO-IDRweFGH987m*AX_F?<=z0J$J(z> zBKPM*B}|Pgf2Tr)7r$y-m%~QIjL_XNc;qL0J`;YotiLCRvd-j3mAnu>eA2Ku$CYu* z^FmuGgZY~MT4ko;n;Syz+f{n=ZKP>DhRtUe`ZC{;G?$qxepa3jEo@*ekFQzl63|tm zLQ94+6pGA2sTw@XySgB(MeN*6^Q?+)V6}mStF{N^3vMSuLe2S9O0DqB4-5WRJU+BV zv1$KZo$mMe27=@AzTo1A#We z$_ttLV_Cc^L!C5;c&l-*KUMtw`HjB+c>#!ka9+p*FU$8yT9KJcYDdC@wUiahi8`#d)_tqdDt2pTjxptF)MSIN zF84Z8tVB7mEdEC4DF`gxb23D?tvc?LEQK;{dz`T(z7jau=r3t67?maX`{N1DG0b8~ z`zXJRuVr}8N~A|Zt^$)gu(l40w-2AoTjXgVt1E?pFK3{vNq@GYQ?&#vrzMc)AAB#N zWK*vibU^$DvYgd7o`26a_HI+Iefw;FAh*JLLP+3XcdfrLn^GI$Xe_gTPRHn100Pj2 zO{sfTSzWzIFOf>iH+}Sr1!bnOKm0~8rKp;B4%8?7a|q#P?p=-2vai4;VTweSL;)ux z`>ZrvTal<`lwB9E-(8hOWIx>=N*VpNQ?Gu_+e->zJ&f%;FZXx<7LK-S2VIg8EUjhG zn&j_wi&BDjdV^8Opr6|i$vGA)#-90RX}H|3^HYPn(K0ru^vT(Gg_m_D)(c%h0xxCqY?u|c=CrUc9aaht6Ji|Cimx+>%g^9S*$-B zR1S4qH8DF%BG6T9?x3i4wJo3}mz9l@%vcTeYg%?vONGa@hq1tmmHWWr^2WimKDtl& zODt-TMOoj2fAeb=g~u>PBYF^@pi(qi8upX?#^IDn0kiOIMkJ+Q=S~5HU0CFF+|4 zu!ilKp4X%gmI<;I=TNOSzpE>v-ruQW{q6>-WRC&y5)lv(ZFs4KW`P75d)HVcs~3Y# zsEx8s_N7R5PSywBb6KBIGZk~5Q@?K1S3H#_Bqr48t3PWrMOH2Wq+5V_LmY}f_NQVq^`7f)lEads98G!%^#jNvNK2ibcYeNB9V0X+48B3 z+Y3DnpynrD>F`Nxs5o_Ihe>>`zW>TqPWQ{a$Z>vmHa&E7wE+mB9j{D3%i*#Y!NY^M zbSbr1)l`aJl)I~(zEl(0y@1MOysctBT?V$H4>2rqa{8yIm8}b}iu+Z)u%GSuR9G{Q zmb1==Tu=e_7kGe)yR`~G$NJK9mX%%NtegQyMV}sbo(e8ox_lvtb|#cTaM-G5?&iN( z>qTNxmT+4qAS#~nao{&*3-CJ?n(Y9CZH%}(ND6C%IIL0HRmQ&CLM!|0arKf0gJ_f$ zuF>YoBszOwN{6Nq1k*m=CB#}$TAPSqmc2aVh-xaMFJM=h*-yM<==WDXH??LvhE0RB z;Dk_vYTyJwx0gzG_YVigw*U8Jqpr2(#_ujExHLyp&T1~y8k|4DKU5&#G*M}-uSIuj zMStU?igQK~J4y!165*w1v)kjpUQW^$ws>!+;g?2mdd`!CICA&zA744nWyVOXW6i~x zi0AIshJ1b%*Sv7<BHw}if8q+s^4>@ zHZo=!WG$(k_RUi-u$@^P&vMpdil#QoRgB&a%3YQDD>r+}jkqE*_*TdELQ(y-I$g_C zIrL{s)5gd)wh$kQ-j$WVZZy9?4p{MMxF}S99T~>`O zdeeMI(#SQzb5iK$Ed&NEkMoChbeNc$dnRkX6eJ%fR?U)(OoOm#9v9q2v1v}`MEi)H z;R}+NCmpv{u9XtggJKSCbD_QS_Xnat|2U!k6-9jA=z}hiR9QFXy7<-iHBdwu{WkFH17h0Cv{+ z&Cbh0+@Y;J@t^5NghmvP)3Oe=l#6@07^+ZbXb%Ir%7@Cyy@wkU+hA%Llf0277yBbx zz&xf23|y^2lx)9-1$}o~Z{1jH{uz8n!-qXrqbO-XW(5}^R6xJo(5G%9?>jLrLwDez z9tA5e5Md~FWbM>2M`oUjGAC`y$7V_R&8^QU2!?1YH9kf0Z4n;}0_2Fhh)IIXfz9Ih?{ zGcdM&&620n2&d%W;LxeD&&^EhR}kQ6Y+fKvhIkk@hu6q|(u;b?(yEfoK`5C@acvBW zaOGfWVXg?1-?6d6o^?A=Aar-GyQ&#o?axeQeY{@!^bqth{_Tk4X}4^PP9&4XRt+)} z4`uTz-32~QHj=@NxS=hEYbBc7#E+3AHtml9@;HpqYV5rgmf9oLcF!v6gi&HdCNE&zQk)_38{naG)Pg6DRz_~E%bFHqS+R0* z8gqylq32RLsaf1#ZlQtWvH*bdE9TncpsHW1u<`?Ew@+#YNC6-z03>AUQ1Z3z@z1qfB0JY2o{bWXx3+b$f{1n-FbTf_6 z%c>}F0V(j$Wt=UN^kgS9x@rKx(20xP{Pf}VMc6lHdmEcWuOyotuzMrFXC21cz&$IT z58eG2aiuPTv7rzGg}&n_LTaO7;WvyV@T9b|XOD)bu$lIOtx@z|>FE-YFy9TIm*{7KRuDyE6q|&wnCVGS|0PC+go8zfa)PQiTC~0BYwU-gkE6# zh_Vs+m{$x`O7!$b+R)IsFK>d_jbvXPCwvYn!oQI*8liU@eR^Ja_X8zD=cF<+=Cq21 z(AFchNyW>*wgQu{$#)qJcMGEk@CrnTFVY>feh6B}#2!=GKGIHiTpk@-d5VlP!SO7> zalGaOx9a_0dBF^Z(ADP+jYFzi`1caW?pTjM94R*RPXyx;a*f75v8Iean2N_(fbsuZ zWQ?Ta<@sa*RFs;ncX+1V)_Wy&HE$i>AeKhJF@NOMZwO*|w_B$fSxd;shp|ee6ZPBk zY$m4RRL3i4gAj`jJ$b|?sq2#G0v!!wWYk>rX4EOZ*i)d-AdM)1o$_r4Oqq*AzWZw*4DeMM3IG-;uWeGTjN5HT*|8Ewm7cnb!cJ9Sim?d81Mq**U zRej68u#@cmZMod?3>&D%YcGCt}9*miI)h7oy)+(JBzG8HM2Lhk)v$zLyr?e#=3oRwI$FF~7$}F@wR=#1yr>U03VY^h^^n#pHW<93b)Y2B!G8W% zQ8WcQ-Wsj6PS&=hPy}w!L&RjP)d(vNWc5v!uNAspM82=GGyKDl9VmPdmPjg?LbHv3pg#WyB%%;uS@T_ zpM{Xp@phPWCoRDw|2$ptorJa?NjM^_J?DH8hd99U9YKm454_p8BuFQ+Ay|N9^uG%{ zrxkQ9Lu|Q-4Hf2w0vPy-oJqHOkG(~}*lYjp^SmvduLv2#Xl6x*!#^u^+RB2&Z>9Ye zC^5J`vS>wk*B6KSH=3_CiCLvyBdJqq!~-lDff)3^cOnLrx)fsZ5F`m0AC=RTn!i!u z*B&pX`ZJV_SYbN&YsIXtW|EeJty zZI!dKB;jPHN16PSGNhhE_7P-p7-1H_Aod$_Q+TNRhY@7*Z{5dU;xUgbw;GEhBdJTd zMsmjIC^Cd?m5E>~Ql4&urON(}RFjl351aoP%o>m@+2{RY_23aGqv9H!E&-;a#s%qw`@dq-=+tG+BFY?dI<8-7#8iy* zPB`Hgl!orKo)Q$(|6`w|XAr9PI3e*jU}PZYdVPRbNy%Z&1Do-Ynn6Ycy&xaLuS;r? z-Fm(Q8HhuZf=h1{Le@0?_C*F!s^gi^_uz<_x0_eQ{m*S2h3c?-K%FdY8wl=iO;Mc$ zO*Lc>tbdLJ%95IQx1a*o6-WoXye$~{S|ZH%;~dcW7F&fLnotz2{ks4KtRE}jKuZ{V ztDgd3+hvfDgB<>8c0aPb_JR(P)VF^bE&zlj#a zX^0Ubk0802x_)wp66-mHsej{tJRA5#q%o%6|Jb9qj3lr4Ja(NIMypFF8jyYIy=SOrV!C5t1K-S8(v5E3HVG@m6JOJ08Q8qCkK|NFahvcwml zDM4!ZXaqkVFOK>r`#nEg8#=aOJX66v8WEO5$>I9;cIF-+=`n&DL%JWfL#+$In zRoL`ut2UO$M%R&R2*qewWQ3fr#IPC4|lCX#yAy0s_i~RMoL~)5aU_=|J{Rqc0JTV505YLX-v(6=#H4XnP0D9Ly|Z zq3LEwq}6Vr-wL_|0$Rks=edkBbO-DTASytBwIr+$3WVH<)LeSc!P`~=*X6od>Hkv= zt;T}a0q|7xFFXXeLxWTy*Vkaa@mT~!BFOVuqC+%LRV+&u0PxEp3=a$K{%(9f+6=_g zveoqj;r*?~;W9JB>k@BU_ZVdbZoY(0hOY(Me4w`^?+gPT)t!FRke|?(2oLH>{oeRz zS-(Q5A1U4N_0Wd~fCSw_thr-%flKf>e>K$<-;k@CJq$2>hTFO77lYo}aG0DZ=-TY=4T5bM8=S)eG`=%yR13Aq0T+I@8f=)P2LPYw|4M2VP?-P4{HZ_%`gOIy zhVmRnEy$%#Lmwd}8|RvDug@(DoyIXdLps~;5=u^*Iz)4xFDO$HjYx1BcOlC6Q*~Se zU99E+*WG`R$EBSyP^zOD($GS#aQ{=eM^IVMqtuwYEGRqQHl#1BhBX^<8zv}QNv6K+ zky1=|9M3|^m0d)$X-6#hWkpz^FcJL&sU)TW*e)$xdHMSl2Y8U(3(X4vgA7Bl!cI$@ z>_M}4&2?1*4ZH_uChGepRELip;=d>ecJMnc&Ta=z)(1}vIv48Kd;AM44N26HP4+Gj z9slwj9Ej!79NIN@ZiM&Eqxzwc7npj>&5kP2!wyg10f&Up>|H{I8aa%nIg|P=LVebI zu8<(df^HNgR|mx)U0@K&Wif}1T_to}YrTGM+XuiXaQ=9~%Fd=;kuT7q-p=gKa0cZI zYQRSz9&CF~dAO7>e*k=9^-Pq@bTvm4GXrp5`1@U5{TQ}<74eN8+k0o0f|=gklrMp% z!YmHFYEFg#BQ5bDB>toT&lif27{|!<4AoQoP5{pB8mn~Wy!Ben0V?jNa}Zm;AMMWX z1W1$YvB&83V|hUHu|U6GZ@f8un2eq%i5A5Fej5aSgO!G+NW?-*PAB%AlIL~^z zgSEx%Ykq9ImD(|8baUT<#gKjmEuYnM1gQW>-}W-dmb%p%;p3g(qyHUh#|PiVR?aE& zyxW#VSQN7umO#~#tR@B0Uyr0GfGZjO4wkK_#nJD|i^l1bh4LFc&1iB|o}gyUs?E@b zfmdO-cs)vAvq{W$njiQQ5k;&7%}*`@a~bb+>a%PFMghUHX2y@cIWEM3RW*+09bKC} z7$lfzH|u-Gs27&$#o|7x0{%jduWFi^n@YtUFV3AV5qtNrKonU_IvbHO-g5{22dm~8 z%gSVFO^SQPNYig%1|lbWZk=9fy&h^Wa6HF|+xIMB7OkGo8(UaB8Jd zk@5sgz`_>2qD4Z(Hg5Z9Pp%;QadR23y6k=Iuif0BBU}?GhE25}XPC=+CYri0JCD!2 zM$1FkZSLCx>fmymUtdWsWgn7OqUOczVPP(ce}uQqZ=Y|I&wb zbCN|3Yl_lQ_8fu*MeuVv`rsQ*=QXaAWZlPAU z{lwrmUAiils}cAjV*j$c^1ib3d6dHgg5h=vJ?zZ)TBK#2A_pirb-ooO50KBrTi3mi zJ%^oV9Xp2jRHTzC*Yr(2*?aM_rm9;~XRip2{@_>-ZKPu^K|;CP?w^(=Xq^23R`E`i za7X(^0G_be+mC>V)SdaK87Mi#Hm+3$WLFG^8R{B(6Sqq+n!<(fQ$+;s#)(l+qwDh$L;PC6SnR?_i$4 z0IfP1&YD*?m5$?_0oeS4!>4v_Xq|1L_Oc|lbl|Lza%nQ{|61V!wVl9tqV z&vYlRINn=d&R5b4Om;P$Q;_PG?SYs^?L@zqF#5xxO5^XfG|1=z8nGG7ijMlu5vfN^ zvTZx?BD!Sujih`}l(0}#6)L+c@an4Gkx3SEH{dTcQZ6?~RaPfDy6BXe1e2T<&x@(` zj)e46BhuFHF6P6&vYje$!f%yR7R65LjVNOn9tBiR|VPc-A zz@y!6&KzizK1O$sJZCJwA!Y-yM8Q(be81%kN!h1zU5UG1M+7OW~6tq0AQU6~xpaa=dIHJ++h z35d9t4xAJcjQZd*r&lGA@}$_n5j+H1kneRHImccN=Q8p+Pf1VUNP3mE@*W`qs8y^P zYwxmew;(=&tsU_wc{%sVuq1jiH9p99<#JjY=Fy(WBUq>yv3m3OeS~y+7^Ph*+rp!v zU|g$U`b-3VB0xGvfj`Fn(Q5Ob6#b|##PV4uxgGb@zDApyB_FQ^=n+AC6>6z|2reyw#)toH z6@%eaB}``&n?_f}E3~h@USZN`?6>N_e z*>$RV2nB|Tc~J?_Q^QFhH%Natbxji=U!7R0Styi^BWu@g;Dwe0=sRD#w$HFJ*=5B< zeN6-EG0g7<5=;E@SYfv2wXL7;6c-U67!Y;zWCov^S}*Q>`T|``9oAZ>_}n(1A(1jwUNRD9mIvLI;m++Ths>l2NdkjyLuY=OSIP2)6r!PsR4Vg&rp-PHlGNi zi6c)rt&Arg6+8wCGqmQ>|o^Zy})e9pX+E$8()`8w_ zU}TowaMjt&sDCj9<`VpOPb-b&+~f10uA6i~g-hI#S+0R4qVsX9iCnRY0p$T``YkZn zLXF0mE>oK2cmMlHP}%6E@AMJ6FHGSGkK8ejou#@_540JsFi{>%M1sGx`eGNK7@S5n zS#(4-?E*kafFJ0gI`c)CbJ6 zA5TluaIghyhcQ9jS9*?~e=9nTRaz~gpxL;UK0CoShy(l$V>1i5qDmt~f@D)l@zTZ| zs#*_H$Cc-o65b_FlUMi2Vg6)V3uXl6BUXAqD-IuVL|{;Fzy4ZM_Aks4O0IVq_VvH%xbTsC4A4pJC%T*kx7}7 z!=VI&Y3CAo`XZ<nfRIh+Yof{5_I6o0t@5<;SF8%qTw<4UZ#g!YG1QI1@Q>k=^|9+fE~$7Qq3 z^Wi*;K12pR_}lG?uG>NqZO7c z2C)@_7$Ovb+@MpA=pjb> z*LB^rvThqni^`P#2uNLK)zgEDU13I!pn0bCBarW-MYPdHmKBprHk+G4U>dAs4}w+-2KAEDTIM9Et;1gCGk@{%|Zes=FU=#{$0WgJ+VG2`6ZQD7P3ID(;7Uf7!rZ<=fUlh(gCEGSG z(8YX(jyGed)djyVpd(mwz5R z721K(^9h+*g!a|wE>gs^fwu{30E*0}OZebro>Hp!$R|TEX~&+T353p~F1x2+Vb&*w z6xE2|BArG@PLrh+z{MPFT4gzVV4vjtsUp4)8G8t5ogb{7h-6+BEE)P2_R|s+?GJUOa0kB$ zycoxw(OQ>MrfWqs*zNxyYbiocPn6a?eghaDxET7Bz~7(m4s-UOm-i8Y^#E}g6dEFM z%{J|SnUYlLDIlGzk^^2jsvhFm18V22YTOA7|ZQQq@NT+cVz$mS$@F zLoNMD@w^hXVn}3lRiU|H?~LW-8YmG%8RT9=a)#8SH`H7eAg>Pd+t2sdw&yvHrX{*9SK zs0i;{;dv!((Hsk`;2y1qI=4_V){$GyI6B$^*x!E6x-A3neySI~mDJuzf}Lu0Rx3Wa zj#l=GI%Hk1N10!qE}dq`pgf6$Bd)rwh9f!7>+E#*)-}dExnff7-^)rT!MV>aHSlI0 z4#cnratF`WoAb#PnD8-w+({2$RhK=~-vdCUa@(5pUqVjzfl$Hl+kFU&&5x$`fG}(2 zl3F>Sgt7!_y%a8{mB{Z<;($RGg%vD#kPN)jfG^sFKs5sA+CUZvV*yKp6ojTaL9m7) zrZSVNJl$)29=LdM6Zt`M7U%xe27n2}pdO5cFhMU51?+v@;SFMnTVb0n+jUx#&a#B! z^;`*HD#v8{T=Cp32ESFKyX9P8<|fQ{O(LmXx&}2o0vQJg*ZuN*Ltrd>D%u0N59hfV zF3Erh2+=UwPteWK+~KS3O+|}7DSD0Lj@m>qxP5V07w|F*HZIWHwq7lyErjs1e1Kw^ zW&zi^mctFVRMLn2SU3SWiO*H{Tyn6yde1l=a7PftEnp|){dFrblPyOjl0KeHrDWG4r1@Yx&lo*Dx zrk9PXQgE685zkY&5_Q?G=3_H((k5#XG=^_A|zI0a)?#Wn5nEMISC2P+~IY3$- z76)680-8P+wiR+&T$FCeprXZckn@bXOSM+3Joa1>9(i=eyyi;VLS80Q0L|Xnjmo(D zFATI!gMu~4-r|G=PlWXaw!`6SG;3?E&EY<|!LP0d5?7wBj6H%h7AD*}d2m}G60qKL z3vGZns9U<=+<%cH@psER^m~LO`eFp~2`MR|WRH}+8un;dMI@`NLMV})h@?_Vlx$jrLROhc z8px zN83tFkN5f{I*PWWeTe&V)O6vy=pT5L?XIZeJK+L2Hw|0o{k>rMLF-5yWtasAh!{mFI%Q*=L* zZt0Swc^eGsIqt4<9Tn4r|g8 zT-|9U3+9-&sq{TWKZ21Ii<$j=e1yZIiL9$=dxN+xQ%uQ)%cf z9U2x30%IJqOgmp1`7e#l2)xvh=&zvAj05A>KHuor+tL3emoz}-BF!kai`sK_{b?Qg zZBW9SD4;5BiPm-_vtNy7A{^^JqWEYH?IiN?+oGoRH{T%t|6>#p z0jX?e{y}g6d8;3P*V=R}jpx-@O@>aS0BL@($JaCpVmO?TjCTt)2N4u$pLgLqAwZ$J7(!sE0eNZ5 zakf8u3>BkY%a5&VeX>cR5vn)@%9muMJPa+9#bAjF4OrHTUGGH^nv0E;kc|(A-i}pJ zUC~j{b^J5cRdq}3`4K49|BYE01Yw8d%rNFP&%(6I()rG<}Ix zVsVXNy?B70(r83nfj{)ZgpJ&R_dgmvHmjcNxUgnPL}%TKV0OyX zn(v|siCBcugSLREF_UXi(;}HuKAdB7MUZ{5BEE8*RE=n2`I=)JBDgZ4;beR1H?ghD zZ*qdSbbv6yqdOm<=rc@T6TXc*PQ`ol*1uVl&(Ym8U#W4O-S*0Tz?h`(PF*x^0FG`$u4H>0}19HpAJRRfse4qm_H-Yn$U)q zk}s;#-KHZAEOm;*`*fB&PPAoN?;^P-h5#cPHbjK{+pj%>D7k%Cc8GXU<><^Ie{-JO z2f}HBK4kKfBna9_Q@&J_?EB!YUScitF8+8@9zcPw=x>W+;x$5iPDeDy0BIT8P+4zL zd<2`jQAnZIoo6q7f&_1Lh|H0&Y2ZfI?dPU5SfHS2I=w}6ldOH%Hs?0{f66)Ni0F=? zYyvW}owQYntzCrm2EB~Sh+t@(=`l8)F_hm-M|qR=!)a{Po!7xXF9(%4rmzC$?n2iT zwxWf?Az=R4U-7ae(HF|0-0ZzfYU~aX1B|^{yekrWlF(uisW|uQ z@|s%u-&4M-#-Wtb(2wdotEP6HKp|$Q@(HPl=wp76_4QzjHX?zvU1*;xwZR0llZZUT z8|iu8A=qQMXTQ2=$Na}|n%#GkP4w2bf(Zs&{U%3V_5dvJ!iarg^WUy70RCd(Ggqp)zJmfKUT3qaU-Xx>P`n2_xU-$+{cbYo%8ACcQ0I3HhOO6pGNMc z>Z?r1%*}hw(DJe}t;1gn7^WUj1M#w%u*qHjJUWXLW5Haq=x}l4vMiv(2gV!v?C&U` zNHIdizZoJn_uoIL+rVN6Ctj8 zF<*HAPNQAOT_Pc7DHuIX<*Xh?vs(?eiCrLbr9t}Ya4DRdnTTBOfJ+0+djnC#`G5O! z%nu^YD5SDg#Jl5j1x?9nHCCoQMKh<-y_REBwN7Wub8>Q0YpAR0+gvlbl(U!qqVtQ{ zXN`}I-#guqg978r^RxN;ptNwhLGLXR`FxpvBcPOAUsCg*^6$UGEc8x;+i!i(pSnaP z5#W2Lb@r3{M5}4hA1NwlwuU}x zN^vEiAr5(W&6}I|3!|EXy-!X-_h~|?6NWWj@r-n3HxP;2_<=ZMuSP71Zw6~R(lRZc zJL*zhUCV!|`TV&jA9r#04~~qHq2#e3gu-oVMpo|`a`MoiI)2ss7xj$dnIRMN6^ibLJQgM1J?+;x z(=A_EK$9ehDleyKJtaH~Za>5Kqs+&SoC5Hp$g3B(J>yey*`AR%cR{ho&@Wf`klcsj zjd5M6j9 zL<1mH^qXqzlg1qB5X2%r`EaYac~RF;Mg8fwFfZ1*Eqv(6oJoNBmt$oc2M-`Q3M=;d z8>_Ek{9)D@39Pg;oA?pB;j#WI5|7hO2Qwu&pu&MNGMFz=wCoKyF+PwF+pTZq{`z(I znF{)vfAe};Kc`!8aA0ybv}`)xm~pr%`3BfycG9M>Uc{&-`Npyd>b(q9JM0@CUQg1A z(uJF=1ZcG@^?nX6$($D9rn?LMrag08XOp8Wt{SW+YsI`M8?m4(XS&He&*#xkBmy;= zx)gnlFq#4_}R*w{#&R=w4 zKz+YJcCs(O5ryBt$TT+R3%)2RU5C1~QrdR}%wy8BnxQd@KIsx8Cwu1&bT~eX`As~L zcVowG<^FHB262-Xy{u)kN@gh>@lI&n?y>oY#U(#mN;R_v4+2JDe@jAjeEno{wXK&BM97=rg!gJFaY7{E1mexAm=@Jmv8~( z&(-kfVc0=p^>_VAufMgL|LlEh%v%fZVu)y}@l78b*ovp>`08#tgMZTvQZu_~eOU^A zoolbgs@a(tfipv0t|Pxby7*n2qhuUR303r+_z-Vj005aS(LR-zAnNfZWZ&#iaDU;1 zA?Nq7XAVf^t)x~AyJUha>K3Sk=v%8TyP%ODLa#N{rZar_7~7-XfGw_JUfuM>^6$+S zl6NW)gNif%OxKuGcbr>p8bGVy+7)cNTm?=D2cGy3bzQ+yR^W-KHx9}?Qn)UYdG(iD zM3cJPmnE3%L(;SpmB|GjhCvr7g{7R??P*eeTtH-AEq$~Z0__8Oviq=-!m8=XhX@!H zF)zy7xE0~A^iwiL8DhdgYWdBnXER18R1zQ(PuyIaCpW_Isd z`1k>A)nU9B&{CuW62R7DD+T@>fA8l`$hmffaVhzf40^WsZNnDF6s4dmi=_7X8T84J zpDPv6x>*UdLC|ZU6>+g+p8V$SaqH_FWi}tl|Fq}t8gAuPrwbG9cR~s}%<8**Ev_o_ zFFrmx;%r_K4m-8S)l^IfEFFTxx?r3!OicC!#Zck_`R?;G)Tj^ltC5 z{+JkhN{1;PPr_xeLoLlHBUaISkVl<6r8rOagHK}F^uk=WOnKo2t=kdEb;#Q!E{wg9 zZhRPagK9uXd^6edX3ao7q8iCpYQDmC4b+vn+}W{o47oQIqTmGw??dp2kn^AOP5OIm zptZ2SoJ30tD{z(d=suEj=?K8z(k;WYzub&QDEXZGkFc-lrV-tL)+WDB<2CBgMcpEQ zL`!biTXg|(Hw+t|4w{Ym{8SK>BO&9dOM6OQvh5Vo-W;o!)TX7rh2$b3T=WX1i#F+7 zu^UAXlrTbBNaO4Xnjbm%iHnP>O;=@j&WR>*XthFdO)v%5=)mJ!BX+x!FoJJ5sDxcG zF;}{>mVa-7${gNb8uG)a&xC*Sz5swBru_!V7#{0TF{xo*vk4!3c&+A+iluI%qC=zs zqORufYABD%=MIjFeHY~9`qExD?AKY=RvY*A>xSThgt7J z0lIKT0644&6d3y*Kc{a+LkGj?GeGY*Q56+E-%AB}VE0gPc&>qt9@dHGYL&=AMyZ!&)8p<{ z#fg+;+M!_yu5kBVa1 zbW1?%sQgp3k=nQULlaax?XzKz3s$a-zoRj0M;c+Y=KS)U+bxd14z?C=$Tpe%LMC|J zT@ivz#gus=Z1QFce2nv=Zc><~e=+EXw?oZ7@|QerI+G6ox%+Y5e|-Q&*o~G6=Q(^RhU_T|mEgp7}Ch zfavL}c)8ryz=RA&q3ZtZeigkFFI*vn)SSzpG_9a6st`lDVUTD4F`#<%gk^>Ot_QqE zK$N>t*4%_MPjR*xkH8;}#`a;Xr{fmEAL@K7#@&$yAP`)JlS*aZx&S65hXSPF{_=8n zYBvYw^U9CslM`ZE?j`HF8$8_SFlIr+73Hef3rcohnJu_ehGq{Ime3nst=t`2m}hpL zZ?`$r3#fA&1KZF_R4m*m<2&*zyt;20pL&J4$G#G*kDjy6$RYQ2tfaI-`cLWbxW_uJ za-YjaZm!tsW#CP;it?D7${VCUSWxEocDTFre`@Fu5q9r?^Klzx_eD=lIYv=BF~xc* zRm{G~3k{j7&j;WEMDH3iaI5j}jw$C?){sG}z5S;V%HhB$yAy%A%oYYjH_?|B>#u_C z)MKc9eQ*&D<#>nYd;#>E^qeJ)O*J7KC>>6ia}*0UM+c_*M~6gmhp!(HIf=L<cS>QOk(yA6@qkls+ubA#gRZ{@myFrav91u?AUSm-dY7A=8G-8_N#=;#FmT+n4rv z%1zaaJyFi>ZC?(B=g7iiX(*f_JBThl1BYWT^MRmmw>|#0DGk3?M73dONz6hni28ah zH$6XoEDf@l z;p0~#&!TQ?$`n)jz=P3KJC!p1!{XeeE%OHEm3Xj_4Y0zATD4I+`pGQ(jpNvqDP;#| z$KwPrVqA{BafylJ5WMQ3(WAC%zkJ_?c^XqBA=~xFJUWX!bL8Z+-GdHDGzhiH3nzaw zV|VGz`Q7nNLfD&4d$*kDX*oP%U(*<}O&gR&JrQcO8d=G-?Dpe#luf<*ea}t|-lIP? z`hi-*K3Oelg+EEJu#KL$_%c;M6 z+lfETR>)sbvFj;MbS%?~6pd-%T1L5lm4_ifZ0ETvpDlZ2n?Fd&daqIX+_rIKejd3} z?cu=#)lI!s7pLSt{u5c9Vc5Z`iZ;ocB*R!9SmdRta{Q&j6WKwZkGD2gZ262AwJ-_! z@#8_!35Ekje>E!1pE77)h*-bXAi8>6*dbH|+k^@nve1Yp`?@~CtfjV_&T#y1yK|}M zXhi-_Xm5(R%u_SeBDw4a(GD5>&10a|6xfD!sq?S7Sp#)?a;-h#@>Mr2QQ`SlBgq?iL%5Xl2YDcE7fEMbCtH#VnQn zz4pJOCk}g=I0$K>=VPB{^1X~p+AW9ft3@7jA3JmGB8MH5T?6dr<$*@;SqFhE750XIKPdPrB0c# z^<#K4|Jtc8?PVO6Df}i=XFg;L&&F5aV|K`!k3Hr*)DphVyH!|nHb0q>W2eXTn;k2^bPL?vED{dm4N%>^5S%u6#QW9B0}EFPEbzTAY*nrssJHu$&}{3gM(Mi#nf1~8oUlN z3>BJqd8f>NFbN;i%gBEEu`JK$J)c_~?uX=gWP4c2Kl}ubx?H-$8h+a(8FZJe&~Rb> zR7P?65Gwkorlrs=W#bjsYblK50NDZm7V_Qjm zgZu+&BL>OcmT=T)h{$pO_m?InLrfHV7lU zfuf&~#|)1t7CGKp@- zc^@Y#qtmo5;NupJNv z&Kx;@9FcKX|F-26=RIUNuMTSKas6PidH(^RDd{yMSrtyL;mQ=!@VVLvD-HqhwlYH2 zRCQxe@T~|sbiO!?W5ln*<6go$RKG?tjH#B7D{gS_uzY-vX4$!O=LiHjJV)xLpu$ik z7aVd_mXOD+|4PK~#|fqY^MBVUgVsJi8#=CZ9zt?pg9!Oh=4g2kz1^zoOx13`r22uS z%IN*F%yScwT%C=1%m3VG^!_FWaZU+CpVXItHMzQq%3c}`&YEby5a&$UAYY!^G4k6u z>h;APtaiDLEToEnim+VkX*8L2R!`4zFqWeH-L1jeaSX-1 z2*`d(J>k*DEW}$g^L18xeMwrNyQy(tg}TUJx&@JtuIj2aen;EUi_;*rtUw#7am``- zyt4h5T>91B1O0QhJ%sj=jZxi2M|23bP&w4!JOxZ@= zb`iBHm0qHv)G<|d3(_PWWXf(O24P~!8WU`xwnk9_nxy%&-0v&#HP2%$+n5)kt&!_a z`xyzhpm~w|+NlXJBC&Ou$X$!l_fqQaSq~%M+834WX&}$&OX-;OuG*BfRY~6gNl!hb z(j>)dgwNS>Q}(01YX*R=4?9XxC@*E9C71zf_npo!KD4DT&huFBdvi*n1j))fUM`c7 z_U)=%ONvchR5`UAJ6%-KSt-6z+D5WixpcB;)3D<~D}a+$NlcW01HZg;J?$KthEOV& z&z?p`vAy~`^faCIQp;p@rvXe7>XX2WRzOb)#?wZjL;SS z&4M4Lox0`V$F*uoF*1t8$c|Ox1Y2HWB3;?Ey@u^&M$RrGz68Q)ZH3R640u*}_~-i_ zKLU$Nj5O$9m22`+DAo<;au7g70QL&Os)!bH>dUcToz0iCgE8Re7x2B98E@iMffG65 z9S1q^Oi_tDK~y;AzEK(6@!i#u; z_jfCsU#00NoaLS?qXa6`J%?B^3C+~L=uaqn$q24e$f2xBuAp4@#2>#7VS9gV{oWgO zDrfNLJfh4(y0WyJNjn#9UZW_T425Ec(4B#+T z8&XYCq(vot57T4ZT2MEBr}p>*{)>Q}-ObGLhXGGMG?e19t=Omt7(9OiGtUYiKMEl8 z9v^`NmTE`w<>2d5f?h5yfSff&Ybc+8d=cyDL~95yn3OAx73a|0c5OW=j3iJ5jd(M?P35MaZ&GYEj);39oB&xAC0do&rKYQ`b;2#iF$?_t(yYj*x0H8v1W+V z4w||H>rmBL=J8q*NmXZ&A7}*|@Cgzn*MYJ4g0vm#{~{xFh#r?W#|_*`P&)ezxM&^u zIm9b({piuIDrUg$y3zTZ=zUMpO_(ZdvMl!8|Hvpq7|GHtG;zrl8sPG>Qi8X;6?r4J z)P}sGw8B7SkQ&y=aljGxqMF%)%$?pXDGRUk{y7O)2IzL4L?0SCB}P1zD8I7u^Bfx9 z0UxgksUgthr*4WeS-&nYk(cB&0)BZD%!xU>tUV8uDpwmdJMZraNx~zz0xcR=Uc`Ro z=+_BIGBab)Z{xX5%o#gmu<5UP_`|>G6-2Cu)Wqi@qD@BNcL;*Rs1aoXaMAd{xs*Y zi+IX_;r^DVI&Hqg`wIbl!~{_~*s-{19lqowPY%QL3Ev&fbvEDzZUPg|_n-$J>y3N( zS(tIu)IG*IX}fz%XJ%)UK@HmpeFmzTcvfLykjkP+I~fTxNCQ%I2K*u1usfuQO6iE} ze1HTTHbj#`T1RiQCp>84eyIPaul^w8=w%6`3=nIW`5<1XJ47XZW3Oc-k1lsdL|5~>#Su?;@1 z-tcIsQ5L7v0T3>T5qE8Bpd0~Ogku)`(pcq z#bHV~0Gfhuan~o{u7N7)3L9r~bWamLS+2#nV&$ul*#&gpf26UT@aVo$)9C)S*Oju7 zrVcKO)-6~=>AV}#im?%=W#kAR@1gCR97Ni0ny>CQd%9V87H@Fx#)iK0 z`v&f&2m+m}pE;Gu%t0wf2z8+{@5*!=6ERA6>6;DZRwDMa%mK#$S4 z${@u56Is#VXNp&rVdfxQXZ0~^Pays~KOz_kg7>g1Erswx{LD2F-fujO`W^? z9HB_cWQuY)+yi&{SHRru&S7r0K_kqTTl?a7>I0+MLSRt<&xIq|fI#_if?_y4ezoAz zT0Sb(UqRw^`MJ&=YJtmh;CBZ~7;!%t-EMYM)MX)WR{ijybbf$7{tAeZua1pi)GMAj-8%Y|OXZv|DR8T~X#-CDx@BWL z-|z8rTwryLL6TcCu9Ho*_ha{%2V=up0_w(A_->HH=|c{1d{Bm>a-O-X-?Ut5V~uF=-F#Tt^~*SBzD%_~vAYg`E& z?6}&6Hlc0;=Ly>4h*qO0K0vECp|Gg}5R@TKlePSP(0MB~S%?w*@CXi?`k^j5+X=CT zq58tYzK;D|1Vo&a(1pVp0Q&4KjX-XsFI;))yy}Q-IRWT_{0k@cAkDo6C2_1S@^uQO zG+(5e7g)F}aNR2`B9U^*9D{<_SgGgRg^!eYpJuj#Q;wSAM>Hq!0rTp*O=PQOd|-kK z1&~INR{B@2(YOmsCzRV6AFFa98tRKq$j z0uflsAwmSRfESq#ae(#M8c_WqoaRn0s?$ zKZIPW5^6CW++K+&p+f%;NWl>Pc$&WXjL5{CB^-K zW0Kr^>+2z1LA4T($v<%omJB+`B%kxWHh@Mu0s-IDe8Ck+qVJu7%IwIk{`MD^3xGVi zf`{Q5I1a8Wn|5T5{BF{NO%-pO>eusxa1VbnKpvB6xY!4}C0i_;?^ibOi{{C9ZjS_m zLB_}M8f*FIk+^Ya{!jvltph~=Z^aJhHrZ-^=hg!2g$Yct=)m9@EUAFJACUseLy*jM zjG(Ss7>h1;2uX%vfc3ndcjv!)oSK51b#1X@Ye6;PrenwmP0Wd^EkM#8 zv{8;-tuTz!nDj=G3Rgpi1a4mrW3+ptn$gZ)l_}KvI}C6{33_t|dV(V0;2P7C{JCd)B`~ zl5DDY2*k_2=-d1njB-f7ycLvU^o7j&hd6{!e}8T8;+)@C*$)NqZ8>=luW0}kiYdB8 zydMy<3^=jPm=BrfgUZms+$6X$;HTHOSj5a46`g%hJJpKYJA2N}oFV#|Ug_LroUpd+w-s2v>2i4E?N0KgY4@>msdo1N=kT=g!bRB`Fa4&CH}b+vJK=% zrH;gNo5vp&CsqWCdW$Jt&w|pxb$ZOntt%rRM&7w2@TGZhIE*|}kP||wUCD<{=&9F+ z&BCd-U)<%F53(*d9n>ybKMOpBu%ILZ@O}(J?;W<@W? z-()WelLX_PgZi48a;6w-Hiq9N*S6YjaXQBfAVo4jbK)fGj@NM$(3zpkuTe7$5c<)m z?oESeT=A;K)^i#wmV8XPb29~tvBE{o*a-5QBna2O?*}2c85-zt1P@JwgmiIQIu=gT zLGPkUCFGeoE}iPx40~6S;hC)E#XVLz)OF3>ZwZ*L92Hdgb?+81_3yNr6U~HH4^CViX^)` z0Oi->d3*Aa5k509B!ZKUH^>|okQ`@Oz}+xbzl!*VU>d-Ki%*ks5}VO&d=za|a<6qa zY$Z#;_j2jZ7oLC2hG*Vxf;XS~_lg@5C~JU%@IWu4*jL$v5;EqPB>-X}PZ@|^WkiU> zC?Xj7$+vI*-Z?jw=KUBAJMRFZi7%o8Wr+P6c)jyo@9$V*DG5O(%%%Xi4c81RO{ve~ zExM2=Fge5Q5FiO*{|bskRTRKofFxZz%W1M7BYUYtND>5Txj2W)0y9N9Wg17f zw#}6LV$VrJeouA=Gjm4Y4VRv|;a6HW!5)9_ zEiuKz+Teu5AvBgCRxMl|#MO;lY+UgI-dgM>Z9c+{wo zDqOL7pJ)z*$J#?~aP4wa7db44+zy}ClfXt_v#mnnH)HN`53m`9vXitc4k350MzDP? zPHI-fx0{&B7*}6Pbz7%F%l5}r=!f|E#`xE-F2pPH4NKB%ME=tPEPcKU#W{E)eor5+ zq}8inM3M{v>&re@t7F){ZBaENZC%*DbQb65ARl3NBqn}am@9mN!7a$K*ZaCDnSkw6 z+(ccuVI%2_n(Vs{XuuO&VG2wXaF|K>$6He2&%2c;A@Y(2zE1R>5Gg*~AQp76mv0=? zRtuTD=*I`sM!KYw=mq3NtdEu+^A*fy&Co%x8PYE4%SXRl(e0LXZaad?&e}7Os;=v> z*0LkoQE_(^&ln&&^tkaxF2Y`_yPKbi=-;5y&;xS|*v>6Fdv7$kG&*2$yrSOM|19FC4{>Y7i;piQ}l6*Y`M~vJ*pCxdmvg z3TvplW9Kim*4M!E2;2|IA>=`4Wix z?Ive|o!Su7)Qq(RI}U#+mIZ<>64O=-l=mBB_@0@7*5rj~g8-uV$6_ zC5uy|W0j}H3`%Jk>~yMloa1dxekStW%&|yD2{ica2yY2GnaZ6|==J<+ggQhE1>l>e z-g5PXaj0sRR_35+OVN~3Rs=1F1%Dhf>k2n{JI z?O!%;y;x`DLfG`C|2pYb{FGd9Ep*-3uaEq#`N;o^b$*{8=dCPvn?*@w7j&RFOSZDy z-~A!k;ckK;S&Y9{GM)qP>XQeGT9x?n_)nn96MtOQ1d*N|RuMl@6P4LQ3vd&1f=UDv z^Qq<{uVP47-aohSN+k`&@h3NKP-9J;rb$+d3}wb%{khLo@h!qoH%!4JFosK0a??B1 z@;Gbi0RCjNXAU~E8hF+!M$oPKwm)4Vx8sP9d>0TnL9*FG2oO;H^w=q+p+k@qMJbH| z8MUbhe51gOBOi+`c`qu8-pou_58igD~qxYP<@a7z~ z4eCYMOKTDon%pTp)lqtUzY)rBA~g;Ysg#HKY_cd3#uP+4a%8+6tQzw<;>}DIwbth4 zhdl$a6F4++A7+J}haA^WkT3O6JCT-?#eHFril8jm`itC4s?G1kZ{P2W-j;PZw?ec1 zJz1o1+xh;Obm5E{B`EvJzxF^4Cfnqox}N=yef{rcUS_02b!g(>v4*WbT~NUd!zI2| zZn(7VPU(~R`TLG&RC_qAqd~Jxag(yIcY*Q%Q9uz^|Axxx??ERnh_2o(yW!)AsEc&U zoejn*??P>D-zywCg?h^XI-21t0nu`{v+5qBd^?=q66%6N@ye|ZwnlfwK8@?4mx*Oz z(BW`k?3U50)og&zU-xI2p(QK$x2#M3@4SC}-aq43SdtP#^zgHN>jX5d#2f0K!HZcF zZ$>-@sPdl!Op}uWtrSP~I7gxw0oI=>fA!0uH#Ds!?~7WpXj}&p(cI#YHwd8VJ(0CaE5fTT+}jY<0TlQpAD%Hx8fa@qoJ2>qgJ6g@(f9D;o0#_6jvJX0!R+1CLjUwMOn@R+Qr!;h>gEB z3eP!hj)gwZFvILqy6jcDipJ;%8>A}{TVeTGl0QmK3oy1VC+Rx8iR$BVBD(fpO1 z|L4QK3r9+Q}-z{4E}tzE$8l;HXm9JAiv@=26xT5jqid;j5C;4xQ5{C=%^ zD86bM-CyM;e?S)O-;}UIhW+Tp;|?aI;b5W@${>;sd=F8JtZRO#b?a@Pfub2UwnT;d z3t3qvIV3FhXCb)Tb;Td89>Dtl;R8*LZ?Y8nkkB{qb>HQCeSpnv`8lM-bOo*d+5v$v zthMRgc}MrH16|Vfy^QkGznWE8*0P(?_@8a_D7yPChU2N@9J6_pZEw8_sV3rUaUZ>8~@h5ngnxewS?GG*qXyLI&Ed-HT;)3td! zyaz=Gi%VD1laHn*CDCKzNjFA)!s)UA`hjCi@^CxmxqU$mozb0Bd>9x1FRP;$Wwl>-fCmCq9qok_k zak~-ArEpX2&*%D!)>CXAD>91Fu(8=aq%!&lb_GEs7(KV35IvOANIgxMRXn=ThucbE zUBdw6nD*-`T!xdiQ>+8J*0#i&20cVl`MvsV4)S`tq6Q)aiR?Y`tkZsT3(^F)ij|{3 zI5vhJn=Ibp;>&3-$!5-60Ig=6SKxbt6}pogG7*eEXP;ZV60Q(BD7Tkt+26MYkiR}4 z2`tqyKXxvM=8X%OQjhCqW|i$nQUT0ZN(c=N02yq6pWj51AMo4v^!@{Bsy{AdOq3ha!csLZwEskFmnEJIDfd&-MZ*PU8-YT z>_Ej;kbMOV^}EF;j!J5%Z)ox8RGO6JV|e8&R`q6hu~sf)o-{KyvWk_;bNr;u$gOH31etFQgy4aB+*5o;r7as-x#(uQlavMDbZZQLu^}5@gSj|w324|~ZCVDCr&f>g4 zxAZHnc4O-fg_?N?MbYQv9Djdmt{l6Nsck7TZ!z^K9a?#t_N>{DoGxxcc(o}h zS8}=RF%O1t5shs5L?D?>9J}I9yYuO$)KGgJkt@oP?O-Tf`HmO-Y7d--Cxsd-Tw3q+ zsJC>D+-Igkztjm=_CF)8f*Ki9J2zL>zleVrbH0LsQ)8!N7>loU^d<9_&nft(khmkJ$G(383hX3URNF}u-kyW?MT2*;8nWfn^9(ua zn^|*9`&OMJ~Tfap=DLHLz(lON;x0KMX_C52OX=m+cLgLAvV@2!t zMcJd3E+%}JhS%+fK1hwE%uSJG1^OFs{5jrMAi0m`RK*47jVk9#?y1|wOUSY-XIQ?NyU2Y9QgK4$(C3Vt&|G%EOqSMlH0dUn#bC*c zT`u^5GX9@a^&yghnBfDsocN&U-XqBhdRSj`BWC!b?8p-!;5U4Z= z6|_R0AmhJ+F^6M5Ln~T*YGvy?R(#)q4=bI%#6I}Zi$b7hyM);WJQn}Kex$LY111|D zrpT1<=xvH!`pVAwnMdRr^R?NGG~EQs4LN ztboqZOz{iqo&90x37L}Ad)yGNJ^T8L;2aoLUkYlr^Mx=~= zlMz7R1^qNOm8(K-HS2z-3;KrCed)XDwLof6+V%-OB;wMjJJPgguL4vg;vx_qhrp2^ zh`SQcWwUiwAawzHuWvjJ{C9I2naRD`qc^)JoxZs3K!CiEzay&!N{=% z#n^h(l>Y<}Ol9IGi*aO!$5s~^-32(#%2?i_a`;GdLUo|%A!vliK?N1p2f8c6cVXIX z#<@LtMe9Mdt2FY6V0|wwU|nNCa-_Il5?e%F=`AW=p;$pu!0`JE=;}fZ@6wwo>eSi{ z<`Bh4TT?iV_sT`sav~7ZwF<^UFNe9CS%FG}5jbs-ZXzYqw~(KCR?uI{k_i-TCI&Gz z_m+VNe7Xn=xG*UBW!K>;Z%in)IGKI5j#cmq>H?h@OMDU!3 zV@($epn$JZN9h#q^D{jAgxZN5|gW$ zqRnV2K6xBHISXnI^oK3oI+=)(p>Oaf@BzkZCk_7YGR?wCG=nPcwl8(*a;!waON5~S z(?(w!Rt))VMRhn-2mtXVAflQ1N+vXvXI)26Q5A~3By^xIjXT#x{5HAgg~fX^6#@6s z2H@0<>ma4!(Z>B5ko%*lELIb+*MIk4XKqRw1H7MOZM*}Ulnh|!zk7oS=XYVYK-G-B>vFH)r=O55;_5D%QPe_O9xz1*G^CMmU>M z%|Pbyc9D#sc(48@QR4O2;tSY++-449|ZRp>sLEj~#4gbG8+`v<8zs7p$ATlVzQ<3(|C>1ERv%65di~C(8=r=Il zH=ByHTmQ|IdsBSX2oQ|#A`QB{_gis3BvsaYl`B(Vx}gc7PV0~fmV(#hTng%bEx`J( zaQAy}aW-%Q-qarH|K%!i71KIJquvZe@{#0)xII49(%e zJ9fJDEHrn4Nb9VxfD$Uawa7!~h#1!U5E@S!Sl9>^Q-X1cao&d)TUu>d8Hjb&Fn#6$ zED8BtMp`2ZZ-r7Z6i1L+~QGba!L=F(vp;Bj28VR9#FPH3sqk|T)V2bin z5r#oSd~Fk~<=fbzv{5lHeQn=B<@tI}Q)2spIZSv%e)H!(hg_lh14f5`N5*_`D_mHk z2HDj! zVzEpc%Nm$$UOqrOwISi;=H}*>CWNvR=BbHlz(0G1J-%`jr& zz$2qi?wse4*KQ94mDc)I_7Mf@X zs>u{B)5b_iL-ag^W{+yb(50xsbP3)9Iw(oHQI(V1V0noW6Z053w}*>ClTzM^p6;8d z+K8boeqQ-nsHn+N#9(wXIS_%`;-FLbcrb2cY3U|h7Q`I#1kiFDUiZLhjsJUUHEed_ zFwUvMe6#Y{I;e(;@aKP#I#mGzij&m=dzO5_>$Cv9G6--CuYjAl+0ts^xrviuw-T!8 zlWiHTlo?(AnW>R92$OUmjQj8P_7Fw^iLDM|4gQ^S5J;8Pi_yc1dx;2zF@f(Y5FJMm z0bGC9agq}amtHBJ2YHPF65<$Tzal)!Wl8+ZhhwHdl*OR!#OEOc9dHY1{C-l+=%&!N zp63yvCMte0_muO?Hn!zG(Xjjn5S~1ee&BSR@01~g8+nvk+aogkaE6{|KhRpQEW!?ODldbATu4`MH8hM=KA(s8m#ew z;p${C19suV)Xa4)N+wQ%$IvGyyAouN_$(}jathadNI3~z%((2rLHI(w`?Xj+23>md z*JXR4=x!|}lU?wy4cmQXo#`U)SoTWRu~CzeOK}U}X@t<`OVJGDRqrx5l+WRlHbW%-gZ;Pq%jsfw0*@ZWVDxQ-RqH6viy z;>Z9()hvyP_j#lkI$(@R>VPqj&@95_L)WrgEOhZ2!M09n3;X21VlkYN-Zn9I#tVs3+7d|Z8=4LM!s5@gKtXoJ*l zL%3EQ!I_ETuv3e~jQ{V#5aQ-Egi0;=&K)ErWeieg!IDa6hIYe^W-H8A{#&`%i*g`e za>Oc>cDLc(x2PYd#FGu{Sp*(r_}3b)9yvguLCO&)$h!!Y+YrN|G&MZ!M6CD->q_9?jM105AHpv(5kVJV zq6owfRR$Eq3M|*I9}04xr){ipMWHKj3FjlReoS#=OAhQX<99z3`iUh9#y!bj%=`SJP!T zVp|c*So@j$t(jakTxW1bW7g8Ly>W)9*)Z>kh70+QPilUld+$wBQUU<)9-Hde_^UDy zo<6o4LCI>BEewH+ka-ul5eul)8r^n@(iY{!A4kVCI$bvoPkMPnyh9*%NPhZXYfL$d zk~2+)&?6tSnccjl9m)WriJ6$5zFgpk1ywV5%6yO;bk(ZGI6xU-^$std^MVbATm@{J zY|tru6NpV3gyd!2#NLKK0j3A;_54@hjIm&bK`q0{`RP^n_qW$Yh)oa5R&8R|OPyCn zsy-5Dal8&s6tm4sUwv}4Qze@?`6QIg`ys99WTsAC-_PU2lFI;J6g`1G(48l4@;C&|YB+9*mdzF_vRoyn5Uz zl)ua_a%zz`8d#sBktHUNW#Q+HiMEpnq+aul53Y3n$(r~VTd6co|0PIF7onhZiqrO9 z+wiZP=fulEnw}}5GMnK=l8k+nP9yd#D-T`0x9KuN6j*q=UG_YyhLsn9loK`8LYl7VDr|0Fg4N^xn z!LO(vc{1I=kzg*qI>-I`gL?O1bzu1n2lDHcmfdu z%-n!n)HHY`3qYGej*XT~$i~kObe<2ZgugB9=M)j*dlkeCWyh7lim8@F(OStyKhPUF;C@X=jWPI{RiFpnwyOckOC zFPt7Os^v&94V~GNh2%O$g|k*uoIXdEqkeLa6PqZw(Xwusu*lqL9)vqcLClR+A|vE@ z%EF9G#-!&|iw}^fb)f9*ox9)6d`ccXOQjiuV^3Vt5b#I{81CJlQ>mBOyfAmuiMLh* zXA;8;e)UbJzFHt#1(5qZlo4^+RX6|COTx;)c$B;1Mwb{L&HClr4jiD?r(#*ZFD#DN zLX(P0O-g^Q+UpM#HKvl}djT6`d5v1N1?V+-)g)O81y=B$mML7hE{cx&WAOa2-00VN z=eqcq$v<@ib#u+*zt436-B)=3uD9+Wf*jS{=Ee%;>z}eEkJr?XmXRVx5av$9rVKa6KaumN7I7$ z@P@6tPVKmHRgYfxWp$Bpkxzc?9}=&qZ?Dy6xOzQMTk=ka**31UYnN;tenkmK`;sHV z{u+O}bpl}HnDXsdnuxHpo7z+cgS;U=(x2wpM^ql|-Y=7$bFWMPc{T{xyb9@}2qT=o z1C1pnyl&AvY$B@_T-Pl;WLM^QO}F?@PAq#IPKd3_rxmAv%C^Ga8JUV4JaPZ1j@;#U zLZ$3!cLq=?v)Nc+jA2TGr&+0m<+oGs{L3w0(gz{C(J7dXIi9FBeT1E66vrZeDbv|= z0M?yuEfvO)KFp<6MCnf^UJASp|I*EetylUto_jcbsPAXJ{`De>4a+x^&AFEx+RCiU z^FgJOXQSc8h!vN5uiNc%3K3S*VcSik!gI*J5JibSf`zk67u0Qb9%2hGaJQpQ?k7ha z=dbtsl;>yM4r?AX`)Nb?X+|f@Lf7Qkk_e~eZ+3Iz(7t!i)cq{OI+wp{54m+UT=u)x z#r;!fu}}SZ=@+v+BV}dJyDjG*!$NU(O@5Sg{1A;&1eKD-xJdd+<$d&KRIhTgZ6M{c zL;M^2>*#RMJ4sUHur|x+vSEFeFW3}@>&=akd!39<9=|`oP*73=TJ`rt&dnFT?X#KpT366{reDr-kliRpX4_CLCo2>`pTf<`I&RPaLmLb-a!&bBv5 zzP3)gVh44a>{GUL6E6ZE++8O^mlNUaivw$(4Qc0J)Z1*B#j@O_^IA%3n#>b;DQ{0| zd_Rt39yPaIeJ7C0cTmj$cCndd2JQFWeKb^J;qcfHk#bR|QC3pvF7Hv{gAKmvGaPr) zvZ^>&u?hs0PD>~FrVbSWlLO}Yxj9i!@LbG_OEjybHlZC{O{MJ_fR=0rDaGSKxr_2TvDf+<=T~Z5zlug`)X{we)VRA zlta*M`DMfW1xB@9IZsX5BQkeDLTfbq<@lX1JlcMd!qWyhDQwZ`6x=_Jr-;mH%DKDj z)ri_<+PAd3dPaLl-jLGt^Ji^uw1%H*Q7E>Zq?1ak)~x!959zPd_-=ibTIk|x=QiYd zpxP68_*C{E`^^cGynrFz4Hv z=o0k`4;(02pEp+M-eR*EC}NINn7qr&1_<-e)Xz@ z^(OJQ9*a+_M6(5*7GsRdjkkAlnHjSm!MQrm4)1@nQ%%8|XQsVV|A4g`jq#(pJgeq8 zVEj&JQ?6cHsmqP>Epy#(ie zK8qFFr>5(W{%)#nerOZ@${W=0TmtuPR$M78TA;LHO?MxJQ>$+qPCR(Dvo>FNORfI< zp6OTT$yxI@?O(GycRU%AT20fyBvu<`P;Gs{JlW70nCvrQk)56IXAcAp<$ljR8H>XH z46(9R`5t$ws0zww1=kQONy&ZX-QJ5~rR&4Y36^vmxGWX{topX?@{VBQf{Flj!q~0R<;mXk}O$g zEMu)CgHUG3nrKuUC0n-1I>U@DF=QJ>QjW1Ng$ZQ|p(6Wo-`~3Thx;Gg`#jfAcsz{n z%zQuZ_iGI#q5B1TK^-}pfmADOD#*>6XTVs)&4d^ESA#n!V#7N}v!|5!9X*5j5(}v6 z2E5&keS5jE$0B$N02`iwshHWHUNC~iJoN*n=Fk9`Dd8imfy}Qi zuxZI@bRs3{5$|1`C)y|Ks?Mi_d)b2kS@@bUDk8N~6DLn{J1l#Z%gxoQBTpb*?Jz(3 z43bT*dA>c~5Tv(Xn<#>d#ak`Vz||UQ1K7Acf_Cj_40fVAN*z8-dAIueGPodpvO*js zuSP&B!2CJ>x(jK8jE+Ya^3I{9aQK_#i95KF+a0G;cwBHJH8cv8qqshtSkWX4@V3+pv{;rY13+l{Xu?C2712vf$w*C|w}W(jkZ~ z^iIhyWQ2`31L=_9uULtUIGzej)%%7F0C`g5E(AQL&4XU!D)Pej57LQ6A|2Fw9T)Q& z3ZG@xnQg`ih)h_h@uLZ=l;N5CO@KTMgc>KZy9Y8N%MQT>yQ~~OW303jNi<|*OE{wz zV!C6bOi0ub+gsu^4A4&}1d$e<+ZB!~1!n@13z_bdKeGMjhvlhdqH>z-OWRuA8S8YIVGZzv+*{q|MzK~si+De>&)ww zELX#9AWUv~KMJjN(%ktc5`bZBK-TO4s6Gw;a4N{LC)aNN`tR6cwPCOkfC`{Ofbi3h zX)^9YXLr{khq?95@J8wbq+dNR8BA<% zveMw^{PjH%{{P*-?jiFh=j(Tn$a-mMj^*)i7jTHD#L|6qisgR4&_zy#7v4vzCy`(x zxayd(5^|V5P08j<<1=mI>(s_ZPhr{ilrk`E!eB!7-uU}$W;;7*Z8rL+$hFuae z>w(KCfqNvP71>kCy7f6`0&o`7RSlTS>syuj?XQ6DDjlD}FdfclLBO9d_8kYjq^yh6 z13t&7w4Q7}8oz{PXVaPj9zwXrucP`Ji~<2OFF-)~vACq|^yj?`v);D{?Qb;kQDBWf zk}(etUJ0}rfeqIYbt)VaG95p0GH@@iygP{3fN@@`V}V`k26)g7V}UMA0kAs_VAfPH z{RYhU_XC#0gdmz$FmQMy)iGW*v&uE6CHEplQ(rx1jM#g?lGh5v-SwA>&^uuXT;SVw zI`9Y!0BsJw)Nh{wl)a=Ch854ZOHb-In!qsLnGO}qOPl3htbs^(O;p{G$P7GwlOP#b zsUEAmj)N17%>6vLJp}5R5Zh+h8K>ayM2F_7e=8rVgYkQ_Yt0QP`-xs_CncoW`p9XY zOez43CdEhCKHcxr$-HYep2%^OsLE)1^oU;s%6uuj@Z^I*Bv zn#!f8^~pj*z2O)kJ^!-N%nNYz@=pC^f7uCbI^yi;nA})5!0b5JwqO%Uh9aZ(uh8Vg zONI-d3M0QuaC*yBZ*ktKwQxj?Sp``UOrTHV=G381ES{EyzD{n>646dF+yXPF<$MTg zbPHY~qAX!Dg7hWq0}s>-)?ukXijw(&v#jgo^4GvY$4y0m<(t zQNJzMZ?krtpy!r^rAzG9*6FX)IN{5V!h=_rgI|c1J&(#J~jA!VN_>A`fSoRS9HDff9 zkHR^^dB{F?@l2o>GvX~;+bZWg_q+*p;Lk>rGvCjt8^O7)B^U>wp=q_l3=x?I%Gxyt z(*vieeykh<@r^Dx|7Au?u_{3K&}=5qIL0*O!Dsl`0m&D&L152(1_!h%GS~$aJXCac zz+6NHH}IZjLSDidP_!%KQE4!VBRLJK&?In*Q7qgI)NR5tv~uMi&8k$VMLjd#F@?MrGo4$=Db{DVzCWtF_hSgktz5w$GXZJKMlT!^#|LzG=VI>&}{v)D5eQ5W>nB(KXXP%@pId9&l{}yZrdAq z@%bQ-ckcI}wldotv5(6g-Vh%JF77@~wU9OT!1_m=w!^AV6T%Nl(vKB*MUJ?5k<6%s zXO3wX%`(3s&&Oig@P_DA1t6w_hK0srpO7+$EsGvGlTNuC^ctj5ix?PFE!=M)Mj8t# z6qJ6@AVwFUph_DUKa0FmkixrtM%+FXJT7+}efSSt{)vm(FYyw8$GG^{ZBG^kjDHmwrV)e+n+AM>#T zYu- z_>Yig*L9s?YmrJAFL=`>*S7IB6vv+JG&I*R2ldI&8@8B^npG5(HXiN=$6xJs-(2!w zbpWz*a@sOfZLw!w)D*7$qxu&(kaqG~yzr=oqj1uX>BA!QlkNMfUYRSS_vFTC`Lifh z*{Mnbj9o+%=smmC@ENw3jK%cSlQ#)ZS?A2Xq0y`y@Kuyx#Y!m z7H(v?KXWo7XzL-zRL+R>=T23>ObZ# zzp_3uZe_MQfZ}tJV8ctiMRmUnO8n;@vM*WH!xC@-v@&sCmS3_^nc$oI@N9Jd?G;@M z5px^#gB&Y8mDi_7?;iY`UffXl(84*JO_pUah*g)s2LcGdHA~=Ibb*(*hbPlo<_}IZ zL{cn%%9h(t$j4(o$2j0 z%Xv{X9(^>ty*^3lTH&fqDkS!yB8U9WZpL*xFT-j5fiuFcG}l3CR&;ehIAq~iPk6pV z%Z7#gWEX+@Q!Y3oybvH$1vs-lM)(aXRyGuUxjE_5iG%>1GQV0&dxZ={qO3fWC_Qk> zNKwH+%%UKQ0z1~@^K!X4glL-IP=MLM2zoGWUUAaXI9dLfgtVnp&V0Fh-8D?9KY)KT z%lSzLPc+qqcIAc{@Lj`JLbQFK-ybi^nzMh9G$pWt?uGi#I@c@fH)TdcW9VOo>+2oF zrmJ}unaL*`jZ+mRsJ>dg-XOm;3KDXU-)r4V)iY!5_qs*7?KGNFwN^DVoJ^}7S~4;} zoPRq=YY3t=RI{DrWr&s>6aUqJ3IW)Tzis0R^u4hYz_8(u6Ru= zT7nq9W;u#ZZmEhGEugh_{dIg}1Dm{4*9x%C5&_uM6TDz5dafOzjOyM~IV`cWOQIK4 z01xn=${*1@g9RU4|;8*$pA{DCvRYWJ-HeT1xB@5!OgthY!^6qLs8 zvbyC!S+z&G_h7#W`ak|NRf-aEAI};X>Qy^^I5A7aP_O{2K-;w76^+z4b>l9Kucv2C zZ>4oemx*I;qR8k?N|gh)U-ETVdJ#JBM!_jFUq2-mN6Zy)aX%+5@KGKMt{s`$WWRCV z<5=wR)T<+1^6%mdqdAxX7n-acNw`XhMD*}vs4MnNRsDUXW|8+NEIl$?iW_+ySGVRo zS;iuZI%0VN=p_cX15W$QuSo+A$+G?-C|rNO@f4|&Vqb8;AP%eJDruC z8Kz%E(C)3{I8^uaV|_!FJZ9BHD@gexNOp1u(ZumVd-S*5xjUX{INWM~v`A54vYi0w zQRSseFD_cV8fp(+QdlqR7V*bKlT$OMxx_=#K4?O8R>|fv?@`grWr|O$evTa6*<5v{ zJL|O_YG_sVV4r)mxTa+Q`ogjMYhwYrza!VP;%Q z2LhCLWb)vE3iEqk#ql_QMwtE;_Y{Lh^e3cO z<56l~YBPChZf-A3!4NcS{LEP4!h%unk}T#qIeUq*aa3_^8iXKS%e#9wE@5?_!oXUg z*W=LcQCH|Lj)~V>-DZ>J3}eoD9}M=bnlq#ra)IQt7BC8BpLj zw9A!Iq2uHRMiw55;R#IlP8qKO8_VPzRjX87Ld*Q^?VzAoQ=e0gYVPB{5-(nSijp!m z@46p}XLo>ko(W!oRG+lLi9AVB(sc5J$YPJ~P7PJ_@RK~$`~xi-bT!(1@TB@`V6Ce; zE`g}VzDORC8C0s{kfJNBaTGfTpSJx~*+WfJ{86)~dzH3cSW=Gn^ zK?Ql)sFCI5IdH-vHdl2&(AnkDkH5)X;coBw&HxD5B;Vu*(U|6r+Hd-(g%lAxr(lG6 zOitm1HO4rwP(8w!4?D_fB`+4e3cRI=Aa+}PrPCUG7z>gF{9i0k3)L>@VN&=`y#3L+ zP{3`X`!U*(vYN-x4IS#_c@?POPGopTbRX)tyV^%K$Jqq(uBp0f96idGTdR5B)eKwSN)8$(uZV*vEhA0+m6RjC{ zlBW2j)Sg<4CFDPHj1UjeKYLBL=$7P+U)4e$fa4>ZTgaV$xCA)xuepOg9A5-&sKoG= zZwf;DNs{Fj9@#a{wh)zcJ!h}w{Uk4cNc2e1q}hWEHxCD05E@D*3sgn%GY5+_)|Tfp zRNkr^=Lxu49wWz+^9Pz0Yc+(N+{W$d^~fD>DjnN^e3{lFSSJ+!LAq6>y)H{kPh{f>k^% zO>#lPPY29-wTTIGX3}o-!(rQiV~xd{l;4;gs_LH0y(*a^45r-Wl_6x8`D9bRGJ%1V zyAxB&#G9ahd?s`^<-sl&8m6l<{{H%DP*nh&X+SId9O@w|CED(tAm=}%mj@a{3YXz-+q zO=)u5{Rue_Lb6kKD=;2X%u2rd*RPZOUs=Gq=6!!c@CVi5WFo8JYP)_72H7vTP7dQV z)$Yi%_NYpZw<(rsYg1UzFSNV%Yes0Ib#`lC8zc!0HG5U^= zgnkFyaP-GAznNg&PdU=rc$ZTChg3gVSRvdYk}!Sg_tNk8{LjrV`UazKpeyS-#2#Lj zty{FHNisX}a9=Bu54QQEv$fke%~ul}go`=64->jRIGhTzV+t$-X$`qNb5NW9Yimn; z5O^`>su`xP=9q1k4re!_k#w8~%%rmY;Kz~PKmsV5C?Kt+02s2Q03q@zB%{RX#hHeY zK^qo?#j@`91(*BetKh$w1w~c->u`L>+p~~W*IfS0{AVxZ3wwr*ZDn({6eyUVNSa?v zLziFSCx2z>*Mu?xY_c8B5q%+sc6rVWcjG?@ce1{Hc_8-mKK?+o-*HP$+ti}W=kw_D zXFbo>&{wBhk?=k$(ujcg*zH2%GYF=ziMPr?hD4@E$N5oim7!R9Da?#KCK3rh<5ecw z(kiUOas!;HuHjQB%}v;i^=Gt5xkXkj@h1Ca!jyRxB(I56qlqur~ zfqpdGYczo!u|im`I|sBd)=+3^f9KvM$=3n^@4(zk#J8BJf#kn^dUIz{aO!-fo&)bx z14aDA?38e0FkpVMQIY;0pPBwT4rnz+eLj1bDy6>p25+wqSMp6JvrR=&Gc}N2+_@#Vi=JjHN*vz_>PtmwZ3^5`f%r?o8F&1PxW^gEB zYU~i_CCTIM?Q}j&tezgShwJP1V>WYJj%{j45~Wg4s)0t=ju{^lZ=&|DLbV$2fJ#S2 zNDe6#{46YMGqjs3ZaGEY;uF=#=zEva=Zo4I;?W*n?nz1g0K`)LKOWu~Z-7c9abNG9 zcV~OMuZXC%Cp+vyugThYNu0}UHm?7?0(;MulB}ojv^`fKEgGSnh(C=~Ygam+w7kT$ z6fH5pFY|tN7t;0I?~7|LhAD1o^GjX+7*ccPC!EwmqqB8P-9wG>2IIbGt=e)1m=4@o zObomxuqZ71u0N>v`-e-_75M890GY}rTm(VTEVYN$(kXwlCb~mQ*MQRKc>zr zZih{CCxJ4`1KvCMGH{Xv4OG(JEB?^wbxM6g_UTYD(>Tk1C86CGG*YH0o=k|L7h1K>AEPGB}uMF893jbzR!VVbZ>3i_g1WjZ>fKU!~ z*lmZqwSIzOJ{6d>fQ%gAv77L8wx}I>{J&T(!@q?z@t~p%n(xN_1NVZ`dz-naQUs0# zHBs$f3`4f22T{LJZ> 0$} \\ + 0 & \text{otherwise} + \end{cases} + \] + + \item[Inverse document frequency (\texttt{idf})] + Inverse occurrence count of a word $t$ across all documents: + \[ \texttt{idf}(t) = \log_{10}\left( \frac{N}{\texttt{df}_t} \right) \] + where $\texttt{df}_t$ is the number of documents in which the term $t$ occurs. + + \begin{remark} + Words that occur in a few documents have a high \texttt{idf}. Therefore, stop words, which appear often, have a low \texttt{idf}. + \end{remark} + \end{descriptionlist} + + \begin{example} + Consider the term-document matrix with \texttt{tf} in parentheses: + \begin{table}[H] + \centering + \footnotesize + \begin{tabular}{ccccc} + \toprule + & \textit{As You Like It} & \textit{Twelfth Night} & \textit{Julius Caesar} & \textit{Henry V} \\ + \midrule + \texttt{battle} & 1 ($1$) & 0 ($0$) & 7 ($1.845$) & 13 ($2.114$) \\ + \texttt{good} & 114 ($3.057$) & 80 ($2.903$) & 62 ($2.792$) & 89 ($2.949$) \\ + \texttt{fool} & 36 ($2.553$) & 58 ($2.763$) & 1 ($1$) & 4 ($1.602$) \\ + \texttt{wit} & 20 ($2.301$) & 15 ($2.176$) & 2 ($1.301$) & 3 ($1.477$) \\ + \bottomrule + \end{tabular} + \end{table} + Assume that the \texttt{df} and \texttt{idf} of the words are: + \begin{table}[H] + \centering + \footnotesize + \begin{tabular}{ccc} + \toprule + \textbf{Word} & \texttt{df} & \texttt{idf} \\ + \midrule + \texttt{battle} & $21$ & $0.246$ \\ + \texttt{good} & $37$ & $0$ \\ + \texttt{fool} & $36$ & $0.012$ \\ + \texttt{wit} & $34$ & $0.037$ \\ + \bottomrule + \end{tabular} + \end{table} + The resulting TF-IDF weighted matrix is: + \begin{table}[H] + \centering + \footnotesize + \begin{tabular}{ccccc} + \toprule + & \textit{As You Like It} & \textit{Twelfth Night} & \textit{Julius Caesar} & \textit{Henry V} \\ + \midrule + \texttt{battle} & $0.246$ & 0 & $0.454$ & $0.520$ \\ + \texttt{good} & 0 & 0 & 0 & 0 \\ + \texttt{fool} & $0.030$ & $0.033$ & $0.001$ & $0.002$ \\ + \texttt{wit} & $0.085$ & $0.081$ & $0.048$ & $0.054$ \\ + \bottomrule + \end{tabular} + \end{table} + \end{example} + + \item[Positive point-wise mutual information (PPMI)] \marginnote{Positive point-wise mutual information (PPMI)} + Based on term-term occurrences. Given a word $w$ and a context word $c$, it determines whether they are correlated or occur by chance as follows: + \[ \texttt{PPMI}(w, c) = \max\left\{ \texttt{PMI}(w, c), 0 \right\} \] + where: + \begin{descriptionlist} + \item[Point-wise mutual information (\texttt{PMI})] + \[ \texttt{PMI}(w, c) = \log_2\left( \frac{\prob{w, c}}{\prob{w}\prob{c}} \right) \in (-\infty, +\infty) \] + where: + \begin{itemize} + \item The numerator is the probability that $w$ and $c$ co-occur by correlation. + \item The denominator is the probability that $w$ and $c$ co-occur by chance. + \end{itemize} + + \begin{remark} + $\texttt{PMI} > 1$ indicates correlated co-occurrence. Otherwise, it is by chance. + \end{remark} + \end{descriptionlist} + + \begin{remark}[Weighting \texttt{PPMI}] + \texttt{PMI} is biased towards infrequent events and returns very high values for them. This can be solved by either: + \begin{itemize} + \item Using add-$k$ smoothing (typically, $k \in [0.1, 3]$). + \item Slightly increasing the probability of rare context words such that $\mathcal{P}_\alpha(c) = \frac{\texttt{count}(c)^\alpha}{\sum_{c'}\texttt{count}(c')^\alpha}$ (typically, $\alpha=0.75$). + \end{itemize} + \end{remark} + + \begin{example} + Consider the term-term matrix: + \begin{table}[H] + \centering + \footnotesize + \begin{tabular}{cccccc|c} + \toprule + & \texttt{computer} & \texttt{data} & \texttt{result} & \texttt{pie} & \texttt{sugar} & $\texttt{count}(w)$ \\ + \midrule + \texttt{cherry} & $2$ & $8$ & $9$ & $442$ & $25$ & $486$ \\ + \texttt{strawberry} & $0$ & $0$ & $1$ & $60$ & $19$ & $80$ \\ + \texttt{digital} & $1670$ & $1683$ & $85$ & $5$ & $4$ & $3447$ \\ + \texttt{information} & $3325$ & $3982$ & $378$ & $5$ & $13$ & $7703$ \\ + \midrule + $\texttt{count}(c)$ & $4977$ & $5673$ & $473$ & $512$ & $61$ & $11716$ \\ + \bottomrule + \end{tabular} + \end{table} + The PPMI between \texttt{information} and \texttt{data} con be computed as: + \[ + \begin{split} + \prob{\texttt{information}, \texttt{data}} &= \frac{3982}{11716} = 0.3399 \\ + \prob{\texttt{information}} &= \frac{7703}{11716} = 0.6575 \\ + \prob{\texttt{data}} &= \frac{5673}{11716} = 0.4872 \\ + \texttt{PPMI}(\texttt{information}, \texttt{data}) &= \max\left\{ \log_2\left( \frac{0.3399}{0.6575 \cdot 0.4872} \right), 0 \right\} = 0.0944 + \end{split} + \] + \end{example} + \end{description} + + \begin{remark} + Reweighing loses information about the magnitude of the counts. + \end{remark} + \item[Dimensionality reduction] Reduce the dimensionality of the embeddings. @@ -255,4 +388,82 @@ \item[Length] Compare the length $|\vec{v}| = \sqrt{\sum_{i=1}^{n} v_i^2}$ of the vectors. \item[Cosine similarity] $\frac{\vec{w} \cdot \vec{v}}{|\vec{w}| \, |\vec{v}|}$. \end{description} +\end{description} + + +\subsection{Dense embeddings} + +\begin{remark} + Dense embeddings are usually: + \begin{itemize} + \item Easier to process with machine learning algorithms. + \item Able to generalize better than simply counting. + \item Handle synonyms better. + \end{itemize} +\end{remark} + +\begin{description} + \item[Neural language modeling] \marginnote{Neural language modeling} + Use a neural network to predict the next word $w_{n+1}$ given an input sequence $w_{1..n}$. The general flow is the following: + \begin{enumerate} + \item Encode the input words into one-hot vectors ($\mathbb{R}^{|V| \times n}$). + \item Project the input vectors with an embedding matrix $\matr{E} \in \mathbb{R}^{d \times |V|}$ that encodes them into $d$-dimensional vectors. + \item Pass the embedding into the hidden layers. + \item The final layer is a probability distribution over the vocabulary ($\mathbb{R}^{|V| \times 1}$). + \end{enumerate} + + \begin{figure}[H] + \centering + \includegraphics[width=0.6\linewidth]{./img/_neural_language_model_example.pdf} + \caption{Example of neural language model with a context of $3$ tokens} + \end{figure} + + \begin{remark} + The embedding matrix $\matr{E}$ can be used independently to embed words. In fact, by construction, the $i$-th column of $\matr{E}$ represents the embedding of the $i$-th token of the vocabulary. + \end{remark} + + \begin{description} + \item[Training] + Given a text corpus, training is done sequentially in a self-supervised manner by sliding a context window over the sequence. At each iteration, the next word is predicted and cross-entropy is used as loss. + + \begin{remark} + The initial embedding matrix is usually initialized using statistical methods and not randomly. + \end{remark} + \end{description} + + \item[Word2vec] \marginnote{Word2vec} + Based on the idea of using a binary classifier to determine whether a word $c$ is likely to appear near the target word $w$. + + Given a context word $c$ and a target word $w$, the problem can be solved using a logistic regressor (i.e., use the dot product to measure vector similarity): + \[ + \prob{\texttt{+} | w, c} = \sigma(\vec{c} \cdot \vec{w}) + \qquad + \prob{\texttt{-} | w, c} = 1 - \prob{\texttt{+} | w, c} + \] + where $\vec{w} \in \mathbb{R}^{d}$ and $\vec{c} \in \mathbb{R}^{d}$ are the columns of the learned embedding matrix for the words $w$ and $c$, respectively. + + Moreover, it is assumed that context words are independent, therefore, if the context is a sequence, it is computed as follows:: + \[ \prob{\texttt{+} | w, c_{1..L}} = \prod_{i=1}^{L} \sigma(\vec{c}_i \cdot \vec{w}) \] + + \begin{description} + \item[Training] + Given a text corpus, chosen target words and their neighbors are considered positive examples. Negative examples are obtained by randomly sampling other words. + + When training, two variants are possible: + \begin{descriptionlist} + \item[Continuous bag-of-words (CBOW)] + Given the context words, predict the target word. + + \item[Skip-grams] + Given the target word, predict the (position independent) context words. + \end{descriptionlist} + \begin{figure}[H] + \centering + \includegraphics[width=0.65\linewidth]{./img/word2vec_alternatives.png} + \end{figure} + \end{description} + + \begin{remark} + In practice, Word2vec learns two sets of embeddings $\matr{W} \in \mathbb{R}^{|V| \times d}$ and $\matr{C} \in \mathbb{R}^{|V| \times d}$ for the target and context words, respectively. At the end, they can either be averaged, concatenated, or one can be dropped. + \end{remark} \end{description} \ No newline at end of file