From cc15d00762a0987589ad69becdd55a989b12760d Mon Sep 17 00:00:00 2001 From: benjas <909336740@qq.com> Date: Sat, 21 Nov 2020 18:49:36 +0800 Subject: [PATCH] =?UTF-8?q?Add=20=E8=B4=A8=E9=87=8F=E7=9B=B8=E5=85=B3?= =?UTF-8?q?=E5=88=86=E6=9E=90?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../相关分析/assets/20201121183005.png | Bin 0 -> 36178 bytes .../相关分析/assets/20201121183858.png | Bin 0 -> 44944 bytes .../相关分析/相关分析.ipynb | 131 +++++++++++++++++- 3 files changed, 126 insertions(+), 5 deletions(-) create mode 100644 notebook_必备数学基础/相关分析/assets/20201121183005.png create mode 100644 notebook_必备数学基础/相关分析/assets/20201121183858.png diff --git a/notebook_必备数学基础/相关分析/assets/20201121183005.png b/notebook_必备数学基础/相关分析/assets/20201121183005.png new file mode 100644 index 0000000000000000000000000000000000000000..2902c378162844e5f9d33878166baa4b05033b67 GIT binary patch literal 36178 zcmXtaiiuE8O| zo8P_n{Uay4d7kXE*X?UVH)mTb z3}yE2C|I7TwLbnW)1f2vq7HaKMy{m?83HMZ_gq-lJ)>eKx<2A8}W zXfT_Tn>%B2a#Ah)qo}uN8__GH-Uic_D8Ui}J$$9ENW$~d1gu;Ueay42JXsG0qGdD> z2`{Yx3|g%<fCXYnQL_f7iyL5$g=F#q?Ql_lV`&$cKSKH)XJ^#(m09f#rzCCA+)WZXQ z5Q@ApHa;s{O=QTzuB^qVjKDZOj(+Py*xaA|ob?2O=Bp&Xi7e$-t9$;Nn?V^I8Sqg5 zOm9jC4Y8wwqkIKrN9@#)+~8R^RU@6K4gT+OLsw<(wkS}qnS`Y4?^mspe297HZ>pbX z_RcPYAAgTD&JLd0_bxA+IpX#du_H#FK+ghgz{ZrUzw{FB{sDF!B7A^2x1edP z$iaQ@vzPr1cU2;!Fk7I#c{sHaV&^kef|gc3CqGh9bM#@P|BqY;oy5T?uLX2I1Ro!p z&|2VQFbiWpk@cJ48@!jnQcgQ#5Wf6il}8s+_>*24Bo&)s^uULT9}N2T_7wk<8YP(D zqcb4kb`nnw+W(qyWsn6DpIufkYI|EupdZ}0rk5F%q1128fCOOu`9mPhOelCM?SIj% zt^VIXTAJFd1ZpN!WI?U|V*%TJwbioa(-CytXcpS&A*4)460)$JEWT8K`-oIYlVBElw16BBP`UV;Iu&TG5$WAUfoH zRK#n&8$DZCTG|rKYq||=^WGU#Nnw<DN z%Zp97z$Lzm?T@3KqxXr|)UtKfvSo9Qep=)VC!hH{KQbL2&es;bah@IoxmFm~fRC1% zC8A=zsXK)n#|Dd1r1pD-1O?LfAh2rhyQ0i*calu+Muw|RH^(by%B>jd274 z72hBN&TZC##%)mfF-4u)YUQO|%2D~HN%RD|39G5wF%>F?KE6L_MyPOg#*(6d5z8`{%>VTNR*(WP43xIC$l z#Y>J0x8GH!%^F}n^ZnySd_O~ zMl4-kTpZJ4&~}bvp0zwP36m7h^@@LiP$KoNNux6x1&4-DKS@@d+mi4#!3=bxTRN*> zg^Dw`O-6*4ct7xJnHh9G`cE);_k)`q#21`Zp1mX4B`@^@gJ)dNddOmnp7AX^)tqGz zgpdYkG-f`SRu`}Ir*3`lV(-~d7_l*R-fGxWNbBXSDLh%?I90#GpjAq*yiAK^dJjVZ zVbZzx?6%H)BDv+Ye2gMuq11bsr21I;mt}9sMmgQwwwlNwl~>_FzlX?R-w_iy*Bxpc zOGIZ;!g5bCHdR7#UcbscQS(~h=MHAk{c6z35X66#OZSI*#xo?sALfZU*$za9Wv8KL zy`!a~M5SeyhDnnv*PKOAm08#W(d2hUwcF$N6EoUeD%8rx<+<&v7_giU&E+-iG%ejS zv2DHmu>{ZAsM)hKY)ICUo;f$Ncu`y^8mXsCzx%yu+}~wR?EqW_-!}C~qp6q5tkjC2 zwLg+Lt<>8o_xlX1O0!J-NPdsLxgf2k+8d~uz5At8z0LQ48MWm7Gl~&jkX=S`PV;sj zu!KjKzErM|>A<~>2>ZrkO=UOc!Q=y7t=-(`T9%D|V9-@1^n6U>*s$a2EG6s%2Xyse z*e8yd!E69|cTfYL{;7Lxyi#jB07JcktX%gt75AS{~CHfpst9*Uq{!;pQwaOR%;4DjX`3d%)jqjqT z3;*Vx|GYSy)y0;&Z20@-?AxBB5#RY8=|wFl1M9pU!3DsHEzuj1yx&TJql^Z&=m;F@ z{quR|CR>&I+98}6%=4tM!7+$7LCkF!T12rMA!s*93WB9+l$+WvG`bk--)k{RGmS_y zPAkNx4FAl8A~OU7FDl07efOu;8C`GVgS#%npTCH0;Ip06Ce;olwISPdZB;u*z^cet z8kqdSaZG!Fj(aI)X-4t&<0?U*gSM^VABwV=FS8{i0J;=UI@~yUa(v3+!8yx}C*=6r z$b2ouie!F40moKNu2-zX$o9#x+YwQ=&$6>Q{HR;)_^!%Xx4!vDM{BU=ZS26w# z!Mf=2JJUEMfBE-E!(bEE#sVJs^g1>5-gDK6zux0223J^I2AVCuL}8Q8e0NW?CoXuKgQCMbAfwbFC9NPybJ0Fp&@P}p!X06{3n#g&Aum0sj8 zbLWV)>KN&~`lj8Vn(fHT?$bhqdp#Ob#Oug!Ujp|RmK zesCyTiuA1Mn4^6=UY?s8!3eiSYUC!`)gC^>m+?I96L>8#Vpwf_Xq&ga*gWXcPU_yI z!)iuFLS5?-FwII*#+xtBuu`uUxE}z8o!7wHJ?2!iH5lw~MYxN9RhoUe?Cb@Lsc+|# zY|WBvVx>m*M&h2iPnytzKdM9|N3;rVbcn$Bxu2Ms-kb6)>a%W5tAJV_N4wZe6agGQymL-97{02he7-$uzmwmgqg7r%s>1+y<iK>QOk{U*Ah|!b<`C1l;4_+2w$V5D{jAifcNzS)&#Lg&`pQokh{>P%M^l)7$G1uLk7n6(pw;ibcRLCRU7;OI;gODB0w0bR8@;>4Kdbh*zX#6sMFsfSb*6{!V2VCV?ZL*n z^+kDwGJ=b`eq!8gyTQbqsTswvcS+`HwC$ULB7PGoZEy!i6$_0Ync(ND+8VLInf7|Z zz)OZ9E}f3`1;s=LY>CmM^_^TE8BsZ=eZ2&)3P+sbk+HNChfqKgtq3?qtzqk6{j0g& zI=1$%1=Glve0OK%;a>6h7rW8xWq-eltN%zYSkGtkn0quqGhd%^0^bSvExtlLG$l=b zU#Rk$YMdL2K08tAzXf(sRo3?X6(QCz1_V_xBBit zKTxwd-L2hE!WM^wxw8J0ysG)txJHC+NgIKNMr7bE`esM}X_WVOT6VRerZpdH>-h*y@CCeIcb-LOSO5 zYsibn9@>*L8=6R&{7fo>#Orf8>SUh##hR|vSzgn@*ptxII^=trN1rgzR+0!S69r`w zNmQJ0P+JniMQ@A6aU!MPx9q{3M0xSs6PA-M2~E|{{KIXH6|iFo5AZ0R$l#xJSI~Dg zH5zf}%Dlm`*--sT3bpb12C-R_Ths0g9&Z6X_bNKGDM3`dd(PToUg{Horen%$t0=Lte{32-l($*LCT$__jiM z8R^d-f6}(oO!?l6Ld!rw&iMNEBp!vzXzSJU>hJ@|fzc zL*}YicNB6bQ(Hwe1o(YY4X_J5VwZVUBzLgc+e)~%T2g;;yr9;fLc^a#Cz6GiQ7S5L zSk_-+bjdl}sb7wv`!hd?kueccO2Mfd3Pt<2))MM^r)6xcjME3?8sts2kSxfoF$_Kc z>z~n+<(p5mq@gA=BJ?}oOy4hP;CqAM4z22&^Al7UYdToDpvG1zGk{rTK`jBR1tI~O z!=JJG?{Aq2l``pWJP+QrKCQCXIj_8PJj|z=Uh5zSmu@+mQ%mp@2SXvV`LzTt?`!iU z{f!t8mJQi|))G+Z52wcv6zh-N!v+|ZO5QwGUW7m!2^nvb>Bon4#`$=tM(~T}IJBFH zWGh+dVh_aM`d!6G{+mFFV&3jz=V8c{C+4vGrM2aA5kl%O%(i>vrmbhaw|QdT%Ld-A zj{O?4zj=**b%Q|jC63tw+E#7yn`{qYj4ugZ}?!=kz4?Am+ zcJpU(w4V8_>{z?=yR69y7bWA)4V)ofp2?g2eqwQx(4Ucazr5SLDl{m?wR-0nB)k+X z0 zbuQJ)d(A|(8fjnWGoZa{FRM3&P-eTVEkHe6fy*1rG`DvFZv3vVB42O9xI+5JT!Jpt z#+PdJ792I`Gc=Bth7x~HmHaBy%0GN4CZreC8#`#dKE%P+ycbP`&?R0^IMGv6n z<*O7r_*&S5BaO(0JlE{lW+LQ=A|t^F$^Y3L1Rzub-=}K0<}Q0@L$4p7i}`Q<0xs0& zzW@4WNYdkvP`i$O2@m~*8JNl%Zj4FR+cOe0#B}+MLeTNBm&~>_e9{)w~x(Gr4mXXE!(~0#`6_$g1TwBuNRJ53Da-4m>}!N=040D=h3<9No{r#t@D{ z0tBFBQtuDTEww@cCX z%5HELv>~6PX;ba?(|v9OgCQ9?&WDT#h&)<}arr8r8b*L-Foet4$YPo(f9207axP-Z zL8zv5x`+kHLh$qO%he2GjZ^UosQ9{0=g_lg7Kzdd7Oeb*o_6jj;W1#42IC&GtYI$U z-)a=j#k*-^FFT#W;RxBc`Fqi&OilG$Gm*dOrF^u+n_Rd%7*E(4mYTA=EI}oSIilLh zdD1oFF1$`JPE1Ar1!{08Q<6`DC(?AHhDYk{W|gLjuPLHd>J{Bpf2xg-of%++-OX!* z4*zM?xnG*N)u@6zmNEAhi%RL|?!q0Z{Q8Np-yPHp&;NAywK|-S3)g{=#^Bf6-)4{4 zPfYc}y1!Al)6^RgeGCcm6CGG*^*lrTpXN8E2^N82=JTk zo6W_7&*s!(D2pl$M3O~C&`J1JE`{7q>uR=E!Hig94-!k%fXyR+|N88C{uXv{HRp79cE7-xWWbiJR_m(%b8%6g&g$KU` z+v_!u;TN=w4ha6(qUHB^6P3vLR_^NLK^wo1Qind)uryF1k)e;y9Xq1z}7(xjsy{c^m#^*DA9Nt>Dc*1?GchQuWx&nf4{s3MrJ4j?Oz!=`}br`C%|6FYO#Jp%>VtJbP zGM10GKY5}Fr{?oI-igM+mRY~k9zt2kxY4F0TAoet;las-NuG^Gdd+RI=e$;c&|H#Q z!p!iJ1<1|Am+BZxl$OR~k>Q;YoOCryUor8>T;G#hiEPjifw z=AA0-!0qo%@k97XhW}&Xt?p@Ailp0`gebl@*+#5q+4<_~r=#N{;G1~mCwrxbNXpM|1ajj4b z!B8+Sq?4f1E*Cn>VfveToI+BCIDGZ$V29upn97$M-+InI;jg8D5~_^xDhBH|J;Stk zBfue!Sih^EIG=>b|sGx;=gKS8$V6r_afXTGP?emcw?LkmF%$O?46^J*Y;>^YM_z z`1aCJT$v}`&@$ARcEzuqXZkUKu|{sUtZ@GWV>X;zY7gz!z>0=qylZ-%GDdKEo;TCb zg5jsNiHCcR)&besmoicLtS?g8)ZzmeF;k(1f`FFd7G->&)4jV7j+Z=+2O*}+x@);F z`MVz5?3~SvmWWRjz%6W6?TJ5+Oycq({wJAgp4#7hj*w+RNq8aHxw)r{_}Q;>7;!fl z_)+dVzl2Yi5J7zWq|FFwsrvhLNOAclMeRP>99A;7Iw34a^Bsu<;l=7&@CY#OxrIh= z;F_cT{F_mE&SC#&j=R`Dg~NWg(Aw)_SG%L?^e)ly@D~q>?T*!dhK?zq{_#qG51!9! zXk>f+<$VDnE%Qb8$m&Y_%=`-bNT=CLno`ZdkbPf`C%Yz?6WxmsmR?LkTB1@vc$o(n zWkqY6?cY}rX68!xSD$ZN1RcGNGqeEx=|~p{IJNTVua5Rvo`1$qa>Eo4ej)u zcsP>l|MqNQ?2Tc4KUt}d{qFI!?St-!Qe!eqaHunIoG_D_( zq%w!@5{Q8idI~#tmi@(shUKxxkxftD{7}Gn7a~3HuQ>m$I9V^1o`7m5OF@dGxV9qo zIy$d3kd~*W+Pu+ZvDulootQBb$N)XFw$xWT2N|PEAfGrbJ?2Ub(xN|&55c&$E;_&N zEPleS(MW_;;7HD~>@)LomCuqyunwa#JQsZRax6qr2L24N1_ zp|)|}SIieqmBe`x8O&}b(lGXsU5=7h6z%eAGo;@O(s0f>2uPEm1$jtZO*%isjkVLg zmKu$ePwL@nkd{f~5uj+5afdMBs82Wr3#5ZGWWKK~$|onw!^MdyDIJDlFV~#uuCmxZ zOI`QB)Gw1GLIvLE3cZMzmB7ycxt8)`R7wF=VioX9vw#2APv}Qr|MB0Sx`7X6(CcIB zW}$lZ+}S$kzCb*uCt|02PnxeX#t%pFE;=355~*&iuduM3{;vPoXr-5;=`T^CCyQh0 zghm>Y+_=3T888s9=8F4YCtIUk6iYmS(pXid*wta>+#X;qT@L5l+N9Z$5wBWTn9}Oc zUWCmGMBLX5oA{7JWHq3w!F8cmQX=GPVW)9*T=60~(9fMl4Toq%h*FCQyfCDjLR3(A zhYI;il&+86=Zl zc%pf=i|L7jLlXcMz(oh%J>H+J#LrX~egn_gDaWkTg2%v-d6r%%LE=`CW<+ogSm>iiSyZ$h_Nq+_i%3 zfFK&U0ImY6?GBJ8iQZ5S@v2K1@*XG5bT?yNUU!zE5|`3kBPuIsMn2>Wt9=mzA-^3%v?O6Q-pKCGb}-i zT|Q<1J{(3;DyWAm@z(nA?($&A&-i8D9vajxdBT&U~+Bscd&_xQ7s!z*ihXNatUO!;7Nm9+g{;Q@vO zN5Aj_q*uBk<=*;nA}S&yf!96UGud6lr+FP-IB`uko-ykg;#M)1sFQ)(X64;8AD%!0(Yn%e`|M z${Uf!%RPPn76yL3w{R9BK`Wsq+cu58z17hxm4xm&(yuOPjSLX0vXE_kVZnj3<{!-&H85R6RMY{X5q8%Q(2$vtW3kS>d=#6Bd!#Lv`r}({U z{2ee_>yy=v;~5O7UNVWS?I=SH_j)51u&*y$4=tF84oi-a{z0&c@e+%COnazh4{bGE zbQ|U{+!=D;kT>AdY&8X8hq&ml`qs@`+TR z-__ymtB?bf&dY0_^A?{!^JJ~w(C-APjnWfUty_#fO;5DEneYA4twRHqkiLZ%;}c#{ zU2c~n4u?lrm2fTz_8-7y#ERunAr3o;=@>?`Ua@@BE%WJ)dp|WlKd=zsjh}_Y87}5I zL8MaI6dI?85EFxm&&DR$pSQ#v^+SBtYJlW_|fQ13a1p_sdC60LT z3KGFmbT<3tw$BlB_Sg>1YcB4tSExu_6!MAfg{JPJ9hrfR} zzp168ka*((J$vUg^&@GW66-m8d?ak{Eizhlz%}9Bc+~0*twH%}p8v(>LTYGXaOk6f z!%Hg*M0K^HKBv65+;cz5yoz4XeeqA zj;04QonG_`K41JRpOsze3K=9Lz@zRlHc4&U|lxM zVfvO4gu5y!=0y3#V}UWC``?*TvuA2d?$_f_;~9BAkDAgc%X)?iFu={qGaQ3)f%WIW zj^7tOX@cb#Av!o@mlHQ7FG$40_t5_MdA1c6(8=Qz;S|NQDNa*?(vgAF*yLjs2hh5qVIzi*tSM@JZc@c6W(GVm zFNX42h#zn)lX}n191mZeF=HN8Oc1=Q);ji)oXC~ayVfFQ8P+x{IM4FWE zj2-eQj@FAGj2Vub70qy(0L)FcSA9N6S6rG@L-gM9{11k7!D0Yr$#vfq$M$(PKdwQn z`sv#+57Y zk}Le@7jvQ>`!AFjOx%%^92oo8d!+^9Mj;0TnJQXTT^b49<3+;LnIv?N$hketRY)>P z0qx)F-n`a=L9-cxoA8bYBora>HSUU1k!DtUV89h3(K?7qSdtP=pke&2JW)u2M zM4-*Xx32FeF=g~snXxaSkRGqfBZ1mccHP=o3`}JdMMpspWkz4Yq5eR9usKBKyb+#{GEI0k9 zhNMpiUO@XTSitY+_cn-4s}=0SF13aIp-lvyEYL#+0oVYRRnyFcFIpdbf=O%QC_i33 z3(z$NdL9{#XakO=D}J*gtY5bzc?yPcAaP zM)+;jE|@gp;UcEy`)Pz8I$CBg%My@hkIbe3A`XOAC$JhXPFcU+a? zshU!q>T1#U>SzU<_vipOe6dnRY=76`5q`bac0CanAF-nzmz715N0bON zoG|JpTwv4&O|wxyUwrn{hoK);c*Qq;=tVVA(kVFE)8;{p`B+mK9;AG1w5?XQRCxnM zfPBIVytipdB*V6SJUj~mx$G}&_-wJYwahAkk1l*C^Vof_U%Zwwphe(r=JGwO(L?cH z26JE6Ii%O@P=~4ZTLH&&IKO`T?8O#DUZ6!z-hoO80GjT;<6}{d%ZE7GRkavcXO%>u za$mZL$s^z+=XP2Y%=w4_bsIC%H2)(RF{6{(4VveLfuU+G4jnf`+bSa8-%*!!!ps!| zhXB7z>=VqA@)W0cLBZYGP!MrAa&G2kHvDTmGBtU?=+-7in<;gaiNI63zP>C$Y$&$Y z3Q1fTrdBq3Fithy-O_(RE*eRd{JxK+Ga(k5iep2Y+r%Co*-L?*FqcXIas3)#1uDi* zufoZ{?*WQ72Sx?tYozk0$etd=u}qyC`NtENUF*xVFv}%2Zs~VinF$^z|)mXn<#V8e}P3={1}^aq?~a|!)PCgA2TB?mBL+%|B!X1 zcSFy5!LKP(KWcPV)-0yFoAdB=0T$2>GIvC0v!u`xc0^4=B4t8&NP-}IspVikr`_oc zZ)vw8Y~n6WT+x#;8garFMy#`j(+ncDhP7$TE}+E#K{}DGbV>ddJqkDD$W2zTXv6?H z?Y_ijdDeBNi^nG!e|z~iMw??gVP-%rBcKC~_315VU=oW@)Uq;D`4wIK;OC39V$t0g zx4z=bMC(IRrParv)qGuH(wf7sxWSc#k%BxVBN=CnB?NMl{lt-F0Lpjtz;aZ%Y}kJ- zWT*Ggu+0B(enW~QO4IRHx?W+OLi4}MAvReoKGS)0k9_DUwiV{thVv;#7_}Ih=grxi z@4;*<@J4%nT>8ljpMapkr}1ua7-0yA_e|*3By9G5C+QlsWZUM07YTRtwU)$2ciPus zBJTry_O(60YCBbi?5ozOMMx0`^jGQ-(RGMXi(m6-;t25bwJGS)A?^B%g~4mHaWO=; z5VS|pa3~iCqfy-k%%cx&xcMliXeP<&0ceYX;Wk~?8d&|+NTJW@>5U(wtOl#5UAwqX zDWgGwf)(BzOx~vLm6(QQLtHZ~Nu2rB%PudH@E9C^{-rSl$4Se&kRP#>ZJe-;1o~B8 zT||KWoI<9G*yE%1?fTcf92}+oG}nAUvE3mWZfsA4bnr-A~<8@gg4-P_fYN zUvu8uiA1Pff73&5-Y`AgD8)Tpc0Fbz_YJ$!r62Y*k7+$eb49YJN;OANm{zg>$?EZE zL@Gv9oGMC{D+ZqZrZ_%WO&!ILs_mQG4!SzrvqRyDmf}9U>%9+IfACqf_`nJF4fYzC ztQMwX>nTMLOtgvY)mPO&DQ?eD@;wqTU`Zt_Lu)F+icrA^2;djNMEpJqWd~62`tw9^#A@b52F{) zl*vL8R0rY_=^BU)wfOcxKl9y~{!0p=YY}Gg?5+E%P}?q9|Csvp@=5P)D7#9{N_osI z$x@Op7JlZ2yn1w9s-rJWfC3hSmc?w^b$qu($~HRrKMp6`0dL$snIsaGty0QUjEWo5 zy#}YL<#g6i6?*Bg2z2D>M&B{P^hwuK=leWS?N!hY!?pfCqh#P93fIqzP@oS5qen>r zC6I3>SWZnbtk`PZQjI#7Ili5Ro)1-)U8^+Z{GB(wG+f0|JO0PZVmJW~sIG@!rhy7TFr)Q) zYOKgUYI!Wz@LPe-QJoQW_9HL;%i4L&+Zu)mBCY$#&QNe0_|Io531flOQ^dO@T77*L z*a&{q)-&;OJG`ftNqcG;}Z7F{0fF;g2KJ{Cq)lVn+>(3+kwSE804@QSjIsO^y z;zLO$!|Xx&o3?_^E3d;SfpU;-*I0_qvdiMjSdbE2E#i`a|oWC7S>i^BOL zQL>DnOb^;5h~qAhWhZ$t+dRxKRzy(Pxufu8G4zkr?@-L!LI6!Dib!)Vy%1K&k=1RfDQoTVs(G?ppSyMM zM=oqk;w1C_xP6>gZL=9+6;QbASP-&JNZ#w-vVnaaWN6;*=R21od1aI}fZZt&yfu)L z&944+@FetF!fCD=^2TNMedxo1WqU)g1CC4q$~bKSJdjP=D3;KCoOfTM*nF&FKn#CP zo3S^(xH{IIQqW=wYV!f>qmNUhA6uYj{dDdLR3ckY(0Q?8jm2cCCX=BdIHe%$)vsvr zcPl*@aU98kav`#s$aUsWah$;aI%5QNd?ho|HuiCTp;{=&Qa_G0EwuSoWUT#Ea|A(y zL}-NED|1OhP@3j(X_;2a7o&~Xb#-M6u)p|v+EvnLkPiKrHf%_VDU=75!c@}Fhb^we zFExenO9uJQ2_N!#Z~yfZ;pB>UbUURufM75VClZ;XTog2sL1K0W!$1~=;cnkiEqczB z>+3({$vgr;XW@aVQ~^aNa-sj>(^-b^RLaV9l2ogS^KR?>*ZgRJFvT3{u-YF{=m>0) z3XH+wGMZg~>Sd^{&mOt297eo~PQ@Ok)X;~!)&T$rgu=ezUJ#@d`w3J?RZvLC z%z}?4GE6XJFrCOTXoDX4I!y@z-`*}mir7ySM$~ycF&>?;d0ibE=e%)B*Ek&iU@}@! z_>YBu)>KgZnf_|tcOIL=vxD_pEaU2jcgX=tWA=<-DAK#mZfM87k;wLSzfqG2+U?nJ zb%N^(Y0LFEWF#}&B2aM^6jYf91j$L=SjAo(ub3~@rd;S(8rAk*id{&e-O7Y6$SOP0 zQ1lkAqn7Eiw=lIR@&h2hW5s)1a;9@`??&1f~se=slYEr^2 z+FaIsSg?kaUx2mzqI-T>?@=Aip@>)Gj=)A9lLqCl%^&!Zjyp}OyB-6bf<1H>iehsv zZEqJ2?5yyRueowWPK2r|z+Oub|G~F&<{Z2})U6ft;w8n?(?VS;(Qxduy zPLN2l#1V1CM}0fbhk*B^JySH^VV5J>kN@?bZ4JQShWXj;C!OZUPQlqc7IlM3O7Jw# z?kNs&V$6}Q=U^21f}xaOfBaf`JYQ1n-j|?bd~qmWvVGZkn!5)2QoV6h*nOFYZLD3M zp>G!iTnI%&N%z20Tt)~=Wa9_#M)O({jc~nX&sg~~y_3+B?s*lSCkm3W2-si~aqnyG z_UQR`^a~m+ zEM?@&Yumin3S!nR724s6b{ib;@tfS1w(|?*x=_Jfdj!SK2snhf;__xJ*F%MaVL~Gh zXsmB}Xb0#@R6wO|r*8}^Z%pq00*zZ88i5rdKV6!StDme&k9%*=OKb;{-7_ZtQ4E-` zm>|wIDaoqEsb38CU@VomWcy8C4?Wg7mo({X{IqkhAH2cavKxbn)v4YyITRax_iBB1 zGZPEwwK@g~Qq8Pyf-dA*kD4Sdq-cvmJ`~VGn0()L&R_DrFFdWJReRXodg0n-x4uWl z5ZvQ&xu1oYH7&9~YMT-NhSWY8P=$o&q1xo${XFY3?I>?uEJ$v9B<~NQ`X{fn%$oSw z5NB*c5h&5@G)RLYD=JSjogZLBxgN=06wPAZ+hVsySYJe)p!=;l;y$iB2Cw9p)lZAb=w@1o$6HeW6*&V+{;~rNzPF*_K}IGye)+;|;K0|8S|vm~oj^YjI|IF}wwL z48h>!=ygt4(&OMUbq4YG_7SUCYbOUjTB=nTjKUhpSYY>6IMX8%Tqs6%I_S{6`Biu* z=0H!->VBih$vprRI{i*L(gzC*B+eeUvQ>>^+K{e7!M^vUp-)V?AVgScpb%bnI5O@l z7~1|fPpp3NzZr)|C!t0fuiEpM37c3t>M^?u`G;4`W(yA}j8qWc+(=>&_bJp@oc!O6}j@>~vM1ZJiShD@~Z|efqPr zAiTGVF*;`CV0<{nC|XAq2Amb6)BuLt%YzrS`Ikg0^Kdy>q@HJ*?%ZrvY-nsGGw*Oq z(0eg=(&L7k7VP2oxx_%}1(;-?NyN9MMXUFlE8bqBM=y*Efr!^8=ffY$hqSXw3n^Iy z!r#)MfPF8)gUHz|LrvBZ35L@E16A!+tQ_$ThSrDJ3cJNPrjgsq^Tj88U($Px)m)%P z=yJ0u{+X4f$Ff&UHvbn#0Vw)1xB7)iQG9ZB`!|kfhBHF^49@+Mk+SzSZV{6ejqh1HmN-{V5jLN^9GkuS zuhrWvR9pk^5cIJM6N5U|=&f7mKB%!=(*+b#XcNcpoOP2|L*feeLF3)Mbx!9dm+Qx= z*%qP3R}7*rTS3-hfrrtwP^ODj{GkJJuCT4DGaWr0zL-C&^)sKH%`S>RN!$O4Qp2+j z=sfyksP{s}$+%YI&eF?bWjM>_vXel~*r`M#QDdlBg#z{{aSVp9Ri*(UIGGz_cCGtG zJA7fkC(siTHCgix%-P`LuQ|2HMKmSX^704}ck9fPR9OH|mpGl*FUf7z^Auo`j0DWI=$3#jM94%G|LW9Q=B3N6bX$n{;*!6Ks%w+mS_$O4>GY2I5>$>G-~G0+WeSy5mep< zty(pU1v_>ZmKG0nB-sx){7lcN>DQv0BqAKF>DHoP<)AU@eGBDmP$~-gI(T!MjqotP`CGPd`-^u6)=HnZ{S9vUcrYG`;$^D5P}`nCc%|D)qQ zL|Ad@jbY~v($;DAdo6JG+;bu9;>+_rH0_*B#~qp%H8YYeqtt=>H0|WgLpCL2gSl^m zWR9JDYBUgmBe6uemr~t@(W8Qj;_{Cu4ugLEm}$BMYhT33kMw2i7`4PQ)9T1L)rvx$ zWk)?G?QIj^rEO1w!p4$mVNc|7CS16iqxQzV zpuuC-%%FM&AhzhH>Z_w`ocs)goN!PO>?a0U?S9nE&WtH3gc@*6L3V(fzs>R1kRJvB!$eXn1)xIg_Q63Y4}Xv(Z|CFS^@j&08C@wuddV zyO}oqM?C&NuHM5Rt}pD{)q9B$eUKoN=pj)DL6jf}qC^iOlIV;XJ!(Yn5scoVm#CwQ zHi^-@i5i_T>S%fQ?|II7Kj(A)g4wh7+H3E1ukUr;Y3f`7hDH_BEe{0Z-#CryXX%NU zwwSb>?cP<~pWW*NN5>7%0HA-WRXevEu;MnI%C?=&5jLFK@=|iWU-6d{a_YVgD~qM2 z!!BTvq<7xR%fSL*YNRUOK!ml`!FXm<**4;AcWI^P-J4aiPcfWW&gHQ;e?Qsl3VFR* zB|@xsw)VOUU>iHGe{YedU7bu@NrgCi0XdTUW9e_YP&;%(XbC8ytLHcC*oBNB{k!H3 zQS%2Z?(TNK&KnC&k1p5R$@i1&UyEYP1#-x7>bL%P`Xb_%3BAUBGX^cr9;Y@RF_%1| z+YyrI`&o#u4Ma;iUO%-pMZS-LLMF1d3#k&)*0Y43mU}no%0N*m8v_aB;6g35Wvw$x z@}UuWe=Wflw=k}<{vCMdrDyvI$TYE~gbnk5hXHdqXtnfWZ?@sZT;s?47IX3sVmzO| z!+a0RRPfc8bbc*j(dwO;;oSNh5$Ki7DYtdvl_nZw^^t^)g+^>sWzJYI>W7oa06Di# z3b31dzA?P$nFou5{JRqL;b!`-T~Rj_?|VWXM<*s1H|5|H4eFjPest)EU*9Nj9G6>P zj-?-Jq2-v6qdg=9}qx-i14f$b-r+k43CF)R}FLO%&ji2FNZHsE4S1kl1RvuBWV6&K9;O)N1kf}dE?X38|TA}WJ{ zKD^Oso=<9VOrzoB;=^3mQoBsWyMohxrDO+mj{jVJWdgPf=$2mh4{#{OXWBh|Bl9xQ zgxRv~ZPsIFpKQofMFgh|)R5Mq2E%#R^yv3%N2s?4{$@m^jcvlWq*I@r>}gfVrz`Q> zVf^N+eZedSrU`<7_7+64TD+1h$N}P~`nvUWU{&_$a?&LbEZTMx&N+Hxyz=(*=+##E zYT3!j;`SXM6%0R0;h#AGUOjVeS|>AYcwcB&#(?p5jiBKgQ`tx6Hw&2^RxouD@mdjd z%wTE0gq_`!i>4-Pz5S2^6hG?HUJzc;xcjHWSS=c6@lA0==~A*`GNQ0)t=w$AQ^NYx zgBnYj3JTSV$!b0DiYFS;NjG({`zd8r!s3-d6S!sHtY>%+P0z|hoXz#%G7gjwV3C1} z&((dd6UqJ_$$o2jkE$?2%f65PRxH-1Ce#!NtJ(HF+FB^gr{NUSZcDo!E3#0BuZ?mg z!tbiLFV^eRS}@{UV|lYh&d0X&nNGJ!5k>O_Z_e-2uk-Q`kvf%}nV44k;RYjQl{%is zVA8|`7WkUCHRb=kuUJZn?unq+Z1p|x?%V&^q>F8#4v?ZT`^|B4FOQ;1>^0g_v+^x2J%=&`w^T?@IY4Zf9htLmB@^Fb94e_}2p z?%ZvLb1m+w-HYH}clrSW;#*+3Q&7T!UNh5LcCrncCb4E)&&I2huqx$gRm)?j^{%X6 z0q)S8z>?XLJ18RD!Lt`2bJvlAz!r*(36k@pk4`IA?4#Hh>3#_UALtTo6$Aal!}U9` z2p9wC;BS}o8wu)EiG)}wac2c&eeB*eMZ|Q3smNLgi&rC0O*BQ_`U^74w+95ltiM8Q zCRtFHQOv(n$j!Wy41qg@F30IBG*f{V!)X=$C9r{5Rj1){Q z3>oud6SFJflz|&L{JE2uoh7(qT%LMq){rO(;!be7JloNJh5FPr)GuY>>f>lpfp@Q| zhgTPJ8m3=*yLcncKji<3FGngr6dF#NG4wo~Z6E}qMh<$F!+xp0{#&ZQ)L8#MTH&nrvCF6>9Z2T>MxE~9 z#yyaf`k}?^jDe1t({+M3twSq%5)x}v_^si$MdJgn4*Q2^ zmfN^tZZo-*RdlW0e}AR(a{FOFnHkjp%jZ$G8>uA+Vt%v^09u#xra#&1`#24d^OBvh z(+j)lSX5IdVfb)kGr6Oz=;7|#nc7dcx3qtBwWiBIFjH+_`)d(DZ58;616q_}o(#n%<(g%~V-U@c#P$rI?d@B`ArV_wZo->({-83s#mQ00#Um_O1GN98?GRz;h{lAXZ= z`{OeCeR8bS)&(E1<6Keq#`NX{h(lGoMYkrx0|}(*$L_LD&A`cYLnc>?YI@|u&N!p& z#{askE%&z!AZ)>Q8gUqLr;EoAM-=Mc{nY^EO?8}#zH0K!lRX3EuhP<3pJGfxYqzvJ zgbJKIG{Bgw_3P&n^#KCwdyg0=T6gmL_M7P9-@9r>t?wPK78pz;+;jE7hI8H~;3ZNV z>N)4qDw~`+OIU4Y4N#LRN=)&xJl&TEz{z=iz=0%s{*(x6+cQ(~y78sB7FLJ~y_>B5 z4KdqHSTF?8y05Br-v(e2khy=R59!tirw*V)Js>jF&?}&bU*}dHYE#~~o!;?BI#o?a zsF$x-4o$ZQ)pw^BUn?}WN_NQ3E;=#bBc}%?Moe;8HM*5CZTr{5QB-VLPer^IXv7*b~Uz#J&Tc0fh!w;Ee!YOnpNWJ3@%2JQUW31yY1a zZCGl@vdWc-qMqW?7zUeo|CxKOe&XBStN^IzS z@1K6nENrpT;8=E_p`emlDOjPzc1krJa~zgiO#`|qFV{!c7L-4W&4N7e&*tR&VDtgp zYEpuETgq-#p-$6%PQ8>(^AzH6xkSy_AIBYk$^B6z`&S0{l>%KX z6lV`7J+kfFfv@xpx3N~Jg^`6@^?IZIYS!{GS}zY};Cnw<>}N(;4BsYT)XUZ)F)Hhu z2}iFLZPI1;K#is}R$Ol`Uk6#m({+8`CTcTOF{T&uR8_qz#ZXZ)LaAq8^Kri2)CV$Z zKnIc&K%Z@a$KPtF-TU464BVni@AF#RqxQ!?>-? zGL1rGsj8~8@2|kkpuBf!*O&BzDi!mn#Gh6zS@kndF#9*DwQqaW2D^1WI^}EDCpE~x zeEd6!hoY)s$Mufi@9TZZ%kxW@@n|{ToU{PPk;*~?!EG1EiL@C~@3OW?2K^<=f9<*D z)PyWNvm<_zXv9Ec85ZjcCp8sciAg&NVCS2i#c%g=rXl>v22#19B{hNx=#H;oUHSk` z9QD!UqY>!TC6OfvvAEoxZ>d!4WYXOin=;H1K}(Pynw9iU8i@`+8>oIna`0zaUe@m+ zNys&zP0OswzuSAMWKz^CA;*AJdqaoj?xqG>$+x$@0&kGiMW_PsyO3waV~@rNTyyp25S?zlSp zy~YoPXG#8RmwWT|9`AkD#;>*j!V;&w5*mDXJhi$sfws|)ub$Fbe$+{jV z@6E?*4*tw5sqwI~)o=mTU}lS5$M+T+$K`EJo1J5Z2edM4R5Dg_Z;+%>1%HA*;d&|; zojtz98ovUH@uTSO=7vDNwTT|md?sLvIc;$O;U6hpTiLz=5!b$PYQin~42ZIaE zN15aXDUHlQdI5AAV((ureLJ&AUt`HM61B;zclk5hMiA}2<8#I?#xtX)noYL|Es%(4#|-z^C8wY9}Mnu6H6-+?Trn0(A$y-prDnXLfa%y@QFwHtGJ^0#p zhY+B^o3Xf>7UOf!_-^#|R4LflJlchfJAv-E*t5V$S@Qg>xE zskeRoB1wnF)x5>CMwYq44lsVzzMrJp!qjB|n}TO;Bg&L_?lh_Eu=?UJH1lddu|MBo zNBbYnDLKM5-uj8D&ei*yKzA2-Ii&oH8H;af9sVgjeA&z$@L1K-2M_lmsE+HDa7T2F zi#ui)SXO2-#Fr~P7q-n?I{n+laL~O7C`p_n$@}QI?jRrU4}=n`$if`OKAuO@L*)F# zsmUli!h<|^hkC{DJM--#dlPBeQ;E=YsMICW{D`!w8ie1xQ)Ban&k{X7L)Akb(Nyh< znmSsw8TUiT0|=0~iR~g69ku=2W+lgH?!McXDZgO=Kgw#fABpe6-Ap_b`6UmV^y3PK zgXtDRM?WOrIr*}YyV|DakDEC<|MA9Yyb!#uafwCF%1gFQdv+3&zIFxl=; zYiJJEZ17LP^#&!S3^q}&7U=%D5qHEH%A~=&_IAIQ zgxG82-UJRxduSp?X0gP-zYPGyiU$`EA-!6Ts1SD>dj|L2Wd&iaTra}AXJS~gMYK1B z&D0#0Sd*(E{q59DO!fm`?pO`U$9x-9%;5Lxh6jex@7fd!ztkHQjwRHsh7<*vV`en7wf2Q)4GDgwwU#wFRPws zJI9qZUPfjl5Ib)@hZozzxkB?Dc9DfH$lynC9N$@3-UcF2silNmYJah`R=2IxQ35>V zd(Z(6iJ(ouQ?qDU+9YJ~rF3~r@zQX?@6)r(O|Z1@hE!bMoo(|imJnf$3a9BRdu=f> z0Gf=HF)A+_5H_}|y7tM-9P{Ny*Daj{(Zc2$RIYi2xa6JKJ8D$2{Wo*T3tj#wZ1d3= zXOT76ED4_Y6zgQ|Uffdn73Vgw9=AXov~I@u{$6$0j>*;3?r_$8fqhhj9X5W$lhfw~ zBJj|DP&&})%a^E$9beV^Isv-<1TF?tnAtU|Pm?I3wP`TFZ3G?t66e9Z4LLnx(f@L< zasTsBw>H^9o3MG)NCojKe6Hi)We4gY@SpGhc#<%`iLnxj|4yv_t#{irEoF5b^*EHD zd)>Lx0V(i@)61=za=rzb+=ROI-e-c0hkWXJ5t}X?&0}fMnI@T&-!}S^&P)VB9#%}G z#Tr!IOm=W(pQ%_Zk#bwc?IQVcV0Gcu))&Er9SYw`iExJU3FJF*SG@{iIGFfWTnQt@ z1T2`Rtfmo_G zDo?14*98-NKg?l0nVk(ubG2@4HCWO3M0l=>m>}5nIe;s|b=VCl?eI_-2>6Cwpci%gZTevK5(w+H3=?f}Qxs^lj^@Yd> z*1?I*@@YI<7}o&j8xJPQK9X+=%nqeGS|7p4kEw!*09!9N|pEOAmGDWB;de z@9RG#;aS4#w?Jf-jvvnssL~k%$ySOm`3)B6W@F|M#x1(?&NJ1y-+n!N$@oy~Y(;=hhyEOaw__J3}B>L7tG^`W#;Kn zaC`)9>La@im{@${&c9J1AuvZQ#=5tPGImZq$a-aJcjh{#Ht zQI0_y+W?Uz@*qVhyjvo)IO4acnEU?tOP}9t!ji4l%we>mFcY-q=T{;K3EI!grJXn> z3!8KnHEC{?>~}#7NBUz^2Yp`kA$3`$ftOV?^O<>G6>!2f|L=#|qNVFGnyaA@na1BNO-?*YyQ>M?VlU%@ROOX2^Kx_r>{|VL(!9l-EkoqcOQNEX)w)5i4D{?x0>4;FC=EKg!@ONL0jj`rf3;ps7;F9J6 zqsZj&&Y$B&qmxWba$_Hoe@D`D#`smU;J)V z8!R{F*6f=dfA2?aH<+lpuQJKXC?=_g$S$Uh3j3x}_B_|Vthegz5@@vAr{mJT+tJW+a5I{BXWfq=rtz>C+3&9{l|xG9EDJ(>KBeaBkyAj> zdcqbV$`Y=fFI`sO`y~OzLly2#BBnbLi*kX>`pEJ~r#5@pcP!gKiU2{H5re)3#CF3m z1tCjxt>1u=+w%5LWTwOAfK`+H0uv4bt z(1nRwn9;ZcO-lO+ni!3RRR%Tii7Nh^>0BDPh^a@0%goLh>BL11S<$|Duy*1>aK>=a z{=^lM*ofk2zOTA&Nfif?&om}b0hAr=E$&w|(PxuaZ-hnn|LCX0Eqd*LxGx)@SK0kq z@#({h*6mfY;sKtNFEvL=n$a*31bCNrSJp-)duo`2YDYSMk3nG2xLNjje{FGXDQ-8q zhBvU|7pw~!)o^!?NDlSV1=EIhd4YREca`}Y>NttjM275b4}e zrA*fc&U6I6&5uiH)-xa|o@?Xk2Pv4^DKCUKTA`gHlyIT7Z|%v239&j6yp#o98kNE( zsxc~-9HZ4mQ{g{7?-co%v&k*y>VfTA$re&9E-=~q4bQAt@{^W2$vJ2_d1kBA zxzC=F7eV7?gHP5Y`E?UEC7>esw}P_4rAC;|VeoHcm`U&Xw__!9FPN8`BTTHE^B%t~ zOX#;1p)1I0Od0L34@axW`(N(3!1;-B)fbZ_e{1aUg;c0G9Bepa5EHszf?=GR8l8RY z9jd#?D)+B>l6YF0JSU%n=Qwlu23Z;ec@URlzDaCNt*$p3WQ-H-AO-nU(yXdGyNFx!ujgJ`6X|VB0 zq;dtEA0>h9CrFBvxVmwtJw?1iqPMEXKk>k~l;bNY3!&z_e~$SCjwiTac%cdmG1z|Mf1;tJ0T~z9F!YI?J;K&X0?t6 zq;|aqib_ud60=<()(TvMj29$uEg&~%!AJ_A@RI9fvPPLrQ z(3qfRwU5z~B`7+lrG$2Zc5Q=A^lO?rjwG-ZGEhBd4gX1;aXQvQhAv6y>7%C~?dls^ z9}Qn!7}8+MdC-v^0lXDpBpIQDtKl|@O9Li@te{nk8CRyD|zKp?ClHeu}-C~=^K-HXGsw*F~FNFC`b{l?vtU& zB^LO?&YqvzY|4{Yqo2&yIKnzC9~UB4fx$Nc zl_bSbw~%eCND20AE5DH*KL;ej1ZyOdFP*SE4y!Aq|1%B2@6C}4wn`Qu$Nc!7Yb;~W zAftK*7ndt-&!-LVNqHpCYF=g;3`}+FgvVt6;xRPU^#!Qha*G6JP&wH{-v|CqeR6h$ zON!BDPJYEgG4{yWmW9b%X1VwQv3(xSsj0)30T>FR+LDlebBaMPMLBm=q;9XhlsvXZ zPNp1^3|JOZ4b}Se5*Iii?7ZG6a8=N8{A)V)To_REX$*+3P4WDAXKJkE7#i7zmO4lD*kIVu}iTs>6 zYGPgMa})yF;=wPozG4FFWqT7p*c0>N?k>077o)YuQRp@Jn?iu=iv3)3B>A~B2u3D4 z&{UEv&>l%d(pEy>>8`#*WOMRi_e!>qW9cA`gQO3fM?b#$`9lWF#^F#b%bF=LST$<4 z>MK98@Aka;*-xDz#heWrGZCYWC5W762CkPej6aam6X(qpPOM~i1eg}I(g{3Qc$9j# zH+fKiPA+(*#4H{`LmZ4Nq8j22oFd=p;}ZUec-G|uyi5XRN;9k)UN}VJR|vE4ddt6o{@UA6UR@p8of9z#DX&r$FEpGet_~sw*k4jV^(!cPMO$L2F`fJg7OG zQH&%7q~!}dV(s@40kh1X)j_xcSCrf<6ZqggX3tt3nu6B z1S&kq>IEb{O}(hbMmpFPAt1z!Jwer3bDlK1@!>SV<>o;l(}lz)UTyJGi?XHx$;b1c{s8587K2l{)D}H%J?%HdU4Bv1HKu8EU3vJ|o2K zC|^S?V0%Bi;vaG1*>rd+tkfXYOoExn3W(yZI8P-vW+Sy11j{Cjx>W(etER>u%~HE? zI(L$@g$9c6*WwZ-p{JSC+73NV5SuDD=Ofa>RR+iSsc`(bDUUFmQKMh!%hgvhyYc(f zxAFRlfwH}3*M!@|Cb*3kcZ@`KLaZ|vcEb!Ib^mwm*$+G72$c zfQHj`#4jBOA*lWmcT%sV0fwNZ?Cbmao-p;|VcZC&|%=oMAL$0-Vzl zFext=PN>b&D`9#*NFAZ`P7vJ$?@%U)qYAHVsW}P|+0<{ZA?Qx9ufe9VV7npm0$I5s z%RfbVVTi0^hm)3qXgh-1mUytWS9gN{x9bSV*9di#;>#dcK5ok+4VfD2qZL-cwslj+ zulJd`hp@#q*{2(}uYpOe7h&=lY!NS#`VpqgVW_tWBw7cDQUuG$)CdlD^$dxof$YP+ zG3wAjZeObEF}g2?V|}SBWS@QOK?I%vsu$$QlL2B5cLKupwYL3qXP2=5w9$$;7XZjG z;Cs*p2IR(NLnz39=x|3`1oE7J1MtObC@FnfrM?kzkbT-Md>WtiKk!`0P;eD3);qSWkp_#<>x_lRG%;9FfXVya>aM zC>;3zP-ttJ^?8FYJC2&j7$@&YH)3kxv$%!!3?i{*fp*A;Tm2OsX;97}#E=jwPEhiO zc#6T4kZ*GD*Pe9Zd^Qj-TVV|Dyr{2=34n+*&NA@OdOVmOj+Hh2-y!_$Iz&|N{MkXe z^H}m%UxLF6>u=xA&sTF81Jq(x37*O)Orhmo1vv=uAlzO5%)4g9ItpprV4I>rf<)?9 zL}CHYPDXN7+%JwD&$L#=-ko<%3Y#@FeYnyW7obrb`@-#V4Ja}esytM-{&PoNe?PCZ zXf;RVtH-raVH#bsudqGzwO%_$GVW`i?d3Z8d$dL3Xa+HWpC7~e0jl~KCEfr$Z%bdhjW zCzK-&SNNWXT+jR0>c-%X9U(kuk{m~&+qfCsRxb43&&dLhFCxO#wJ5Q$O4F?EM~I$$ zcJ1}`DZN=o)Qt0xCuRrMR-dd5#)hZlw%^-(m3v~4D|?sTi{$ERj53Z#eV$S)ZF_Ke z_O0W?*iA)@`&-%QEXB-q71Oo`?8V~%3MNzvi|ANuh{MK~-k&}?Y-)EK^zKJ4%X!|< zj*NtWf*(8Js$0B$@^`LW(?M5sdo$v{dEA#ejgD|bcDM;Wcu+pp6MSKYDJ6o~5+06_ zZ=7c-c5rF46i^RxbB)iK2H!HGh}Owg@LvP6%c%|sxSDh8o@DcCtla=0Nr4XfDGeSlDa11IHW0_0n| zS+e~9HMBVr$TbG+?{@nO&6SXHNPGvKJ}F$8%+n@);?DGAODvjQ2tM%84v$M0e#|AYYnD1V5vEfQv*?J`` zutTp!a#xgrV0bdd%(q??G}0cRw$o>J^P^8E0{tGJ6b7D_b1;KHcqLk=cd4gQ>oHt* z^(KWLO?Sq+t#?_+Zr6JGQs&ia7RA$#+`)UjzU1p?0h1P9W0C?wLZ0sO{>b{Eb;??I z;8QGty9#dC)Ho5dwe`%$D$hq0I@;fdHFq@i3Vn*8VA z%^40*SG3p98^c^BxE<=IRqq_vSP)@v3Z26Cr86Pyao5X`2SlkgQ5M z1OFZ)JPIBXjjiWjf@h!D?{XRzkJS^i+?u)XoGqS4HsK;@Q0mtfqJ&}xzzK;RDVO`I|jp0k>O9L8tK;(qX?)i@wy#Q6VU%Us? zhesoBM=yV7;N_%GCPr0iQ0IqyF#47qyv@&LLgeDfH1J7egi@;^OU^64C}xteeUBM` z5_qM0A1U>MN}1F-UTC^2B!)7+*h)v7M;B_n`K;%qk-iZ5>0UxH8BOy1ev_6Z2p?J$hEFX@(x|8N zV~uX{EqC98AI@&90kl_|{9Ms;Vs&x}hQGw1-Uj63os&3r&-BOkhb^otNAu2phF3Q% zYXQ~+0^IYDjJ->RZ2N-w&3(|BKR^QA+cNfpoyFPlu^@yY{c>n{*u68B<4y@=cK6JB zv-;gLNvDTLie~xEdMu;ualAkn3~3#3%4m5sAg!(Zr6)bn*j1T~*2f63tq8#9d32<) z8d0{lt{}EuiL|RS_$&o~eS|->1jtVretX<(b#pph=Jf_^`6S(vV`|alSv#GqqcB~{ zU~M6FL4}TU##Y-2erQs^BuNX{(+7Lr#rN2<%LVl+XG7rn4sm-~-eIxbI$<8Hw_yR; zb1wKA!-fU$HvR=Sz;0usX%Pz>*@64GPLnpkxU>%k0lMFU>QMOj3#n#%EeJZKCiG>d zgac5_tyVhSon4Lo^W~1G1@RIo*3`k_EV-qxCM z-FkUD#aVHmSa9*hDG5R)jPp!BT{B&Ef&v3cqb||OMipkLG11h)c9s5u2j<^H8q=oq zZynev1sF-O%Keg^t}x@Z@~e3UD8vhhFQsrJDtmV8UxamB4w{)H!yjb(h(QUWK@d47 zJ{kYrruq-~9J<>t?9ey<&Re&gC;;JjTV<;Fb1^ZqhL7<;bDk3QlNjv`NmE(Hivsp6 zNTXmMusoUpqglhLP^+~cn3DjRS$QN=%S-FqnN||NO$cvNcvA_F-exu;_EU<@ni2W^O`cEp zlqfl6uwekFR+&SP~VHYPRI@ovh(y@T0%A-UpVA z8E(LXJFFFaw|kdTD|6EXJ7QF2xd#E$?8BfD4nD9VGC-HMx6te{yxBR!qZrLe!;B!u z0CeRr<0a5}Ze0@5c`FzkEi5^}6Zogye-X!r*s|G5MAKBYoxWxR5Tr8J-FCl|N#jBQ zt(BdZUygo6_8gY$(vB~ZC^Da;5olBtvJ?~Drt!&P^bM(NWQul(V-ZJ}fnPnCZ>&g) zn1iNH?nr8}qI2$PxqmcVYlIj8UjyevkD-OzDVz#TfOdLPA2HFg_`@N4EzFbowSFbB zcfAVH)>zno-_G)_0NXMbhpWdZ&;60y>@BL=U2qf2Q*;iBm+<^n@kO@6$f zpz_C1F?TLxK(Z_kC+?)gP+x!dKL5{UNY=t|n!4-Y?qZ+Kl|vtevUmg8h~~nd^DZ5WY+|erupn`}&%=MY z6M-F)95JQtEi_FRc{np#EB@_BjuP&8T(?Z?rrei|f|!i{7W{CIkV~g$!1|g?jjdH_ zxo|}d%VnNH6_-43#S$5Wf2l@5MhZ0ZA}qAYWEqIwvISy>?Xo6Zo_%ztdzFfvIITNE zym0jxi<)2fHQVO(B93)6r*R-}HFzcm)zXLo$;)vR=AONM+|BKER9`ek zkun88-S0)yM&C`9SZ)R>1}w12L(o0p47-V;ZrvU-yK}vD&43C41tcYR))0z;7&cwj zDL_pjce6yyOD+Su|Jfl7RzW~U%f*G1VttJbu{6Q;GN5ngihA~3`jkVAiuePwOwJ>L z@{w`90bGqVoKB6tPekr08hQLC5PrDM;C@%#q2KlBu1U;#jBV31o;Dq%od zFKb6n2VTd~+LWu4p$=4rEhed3uaxPIFIpj8(W2$nnuC`|>!X@MWpZ+)OGJ!-e9Kv) z+p1??@PuD)$4MUy?!Pvln3c7&a$SuZlz0^nMy0u} zeSX|_V&pjA9<|_uju|WY8H2k%Rgs;InTiUtVo{uJ0=Dq64}@YsfOp)${T#bIj3pG) z2KwD30sYCOt7x>+#3WW16_@R-B73k4^G3%Rv5FF{T0Ly|A zaMYi?mYE7}txw(8rHg;{p(6zJ55=Tvx;ekG=euATN$XLDecJ3LMor$=3?DI3O#kKhp#drQT?!j4KS!v>#eF}=G zDT{-cU+j>%r2sp&R2dJ&M5lQv)P|K%e5D21riq*Ws?E|&WeNSU49zCyS?9R0Tkkzx zony=SCdVv4Ntc#+jcNQSSFPuvT1DNx7ppH)2^ts%M8TFM2{Dc9=wGrT21T(cAram~ zmj~$N+z_kMhUh_YlQuxrCCEz^DuD_1CpZa_9HC6lGXx938rTGe$7;Mk%Q7<-N=H*F zdG%16P^D(E3b_mrwVO4n?KkbSrym}2;*XO`-B149SQMczl);N%c~r+411zrWR^LB? z5`0x=U}a$kv9bvfc1wixlO0f2F<6ICS<3d`UjDD;mt(ZjK#j5Mx z{&vqWsUBy9xW%$y4u7z0l7&#&Qe0bqwJ|^ZLV^+P8rFw>;(iK->YEQ^V zmX=l5R4&i7vN7`Z>)St^c{NPri2*Yc!iZ1a>u!~yQdWh+)6<%)v9{k?xT_u6I>85t zqb?o%zs;Zk0Yax)!!Gxim-JAFc}<MI_m8ccCkRL-% z3~YuH;LlUN1qgH}7-E~CWZLUoiayWOVqlg=B31$i(E%?mjkHYLp>=jlc}_OF_0E%8 z4(*;H_7f{w=|jN|KY+j22EG`mw1_bOr+htAUmD!|zHd|l%3?p?P=V`?>aiQmYsL-B zxoEUXF50j5RlEw3x)ej37V`-5TAI|_NYcg0y&cZHmxSTolkAkocB+W`Z@;Nvc>-mT zx80cT(Ot9P0Q$gnX0P{+UHug<8~&zWTJ*TJ(uQ7eHaLI&f$B)U z--zMcY4j5byIC6(9pLjLG zm=JrzfrN0@Tu~5{u9C&YXvNGVM2c1{{d8l!hkO&Xn1b!JPPQ($9(mp9Y+=7^O;EEC znbuWf_=Q#wR+Gu~AFY-&R26vr;Y?gMnkSXIhLDVm4VeQ52GxHlf`cf8D2@50T1U+) z;5em?^y(A)>tH+9WSD#h_1(p2fDvew*ve~hgzl?9^LDv}@!LRgEr*RZ zd-Q&f&Y#WBTUoSbmj87PP@*-FHsqTRoDq1z{zstkX7zRR-vi@KlD#;9caL(<)4RNt znzu7Jv&CltCYcLZCl!b8%He>m_|PbCvBhFe?AKH~I3HCa^PoS>O!Zm2wZT3Vu=8&k zHSe8ftO1P^Q~zD{080m;BF4U2Bp zS9;)Z5U7tcQ8*x{Er)8~<7e39+NvPd_9Sv!N9!3WTA3j=0oUw%au_Z$Ges}bA)D;$ z(+qp}KOm_=`qs0-uwUb2?I&%xzH@p$InlMTi{%uFuZ`S*w*Y2h(ieIbZjmU)E+!3o zOHM4|@mKrIoJK2D@#Z{V!f1e)H+|U$v!o(a>Ae%y%v|C;_&DwD;YWg^59Nz3 z7sth&cljO)b!vmWU|Ua}|GWLQo$}H(a%ED(jv~+EfBRPM5i1 z7rWaK(4lGR18<6T@h?<8l61dxIvWhe3*I|CaoQbv{Hidvs~LB=`*7^Xj_vlco9)XJ z1>kHyFqxy1wa%;Oee-o+ncb21AJlAg-B`s3<8*1;)HRl=kQ!cz$3&@*Y|5*X7|_Gj zliV0q1Yn!wjHW=Ob;WmO1d~UI7Fti=M+y_5BAWX4wP4;4_+qh0tPUvk?(%wJLl@m}ZNF1b*)B zK;oGeis0-kH|bz*IggY~9A~;%KxQ-y9?UKas`gBM6--yUwKHFLw9TV+aq1}Q-*Oty zs4ii*Qb4~}Y9m^Dci3IR6FTrr&IH1vxJ@Q=XZSO`PefGI00D=7g-Bf8c_vVgYy5}W=p=)BpNPca$Z^wFUkKn>!C5cHPgla3&0o&O7q0|HtJ3_ zBTg6XF6wo?^73$#tGI@%;woniX;Pk^OFNDWotYOJ%DLvI_3sd#dke;~+;Xd)Pygl7 z?RpS&Ljt;Rw+RP_l(I#HeoaaaL9;u$C0c({cT7H>Dcx?{9lrSpU&?Ix^nlkih-GPT z?Be^cNrk;V3g9cfHr5ucX=4-?Z~?Q1?Ah6o#XavFOIfvP32~ zVtZ{z#fxx?HmKcw1MgLnSp}>_{ z5K;~15BtQ~Dq=%X<4K7Sdv9{;w_RGifSQGo5_0hadz@g%X5>)M2ig&O^iB0OD;evZ zFZRDo`snZ<@dkuDbTQq-+A*H%iaU^4JRsQW`!b44I(k2+<}tM z=N88eEqwr~|IC&f5L=fX6n>Cg?en-i~u+|1)Wvh)BT>2ryoP;RYo1u*-UxMdl`@Nl>I zD$IsSF;|DR>3?mRhq}EVMJcoJ0Wb&G{>ZEO_Z8b;4?KVPoWp0taN5jEq)iGjh4>-m zGffgqV}`Wb7XbV<*VG!Zw9M{Hz`Oq6d)qGw#gMZht35V!P*I|^UKuCYVY~I8n-V@) zpw*H%pq~>bNCw$zI}gLR&g|$N|1^Zi%I6oV^mEn1cf5mLY%h)o_yl|C_09X}z7UAr z6T5GM=>748X&3Sz(>MWMg8sQwi>O^%Ic%_aph)oX%D;_o) z5x@Dx0f?s!s%Bot_z;I&u z_AN@e9jr2b`-xS{Z#v(})@RpxE}W&rgJ?kp7+&5r9cAX+*W3`PGu8gOU7HN@#84+Y zxF%oeQ14}A7lybp#o)=!U~un;fn&YzA$ACzMCwA_Y{LH&iV1c0^3}3+nhLr^$E%?F zv0>zyEZ7E+<@&W-BE(~pu*{h8p}g|S>z+3riKpyXI#{ydQ6QZ0wHv!~ZAXl?BSyR? z%f9rMQ_-&|AFxziR^lMxob|%817)QlS+i=n+;!(&a>rebWc-BpC0A`pnZ_}Xh2>on zkhaR$S+a>NVR?|oj)sB;4_*>HFYM67^EAA?4P*D)-~QGuSz>t-FQDUi{q@(oFQdT2 z!ZIUvYvNUg|N5{0a$i`%yL9-*CN{y~9T{wN!4fFGf`W>HL4{`rPYp&4pC!Y0Il&Ll z;%M0L9ZxKU!q{?v#Ir=C$FeJQWF-UOooFT21Q3qk2ma83^@X~EM~hvflyBuy53ln@ zdBp>!B@YXKS{shz+O@0Yl~+f|y!lI{xI{fZHFSKboOvuUEESLsb+MfvpP9-yd)j@F zps)~=6>o{kuMf}D3F?A(>n`fRjbAw^!}DD=c-Tz~&j!CTfR&3Jom}BPJN7fHUn;QV z596SP@5tgl$;-=Eojs2a@>!p;_#_H1Zr;LmUCEFB;}_6hgAQ1!y(VDH}j zI%aLwK7+QbUt>og&4sL7*}8R`_T@~MKAJyrV(3zNiGjp=K^V`y>vAb7$Z=!*yYIax zM~)w>x~DEp>+!TaPrA91i;-k>;2=R;#GVsDWehLUnnD|yEUR!`i2cwF2_+U`sxxs^j zSBIY!g13l`C@_5R0qb&P(_c0!#|f0lt{d04XH zL0}s2vu)$*CIa4TOykMcIAiF5bQn8J3}bmI7e6Gc>Ua~S66oZ;Y){?&{GxfI;i-W9 z{PpC&*UH^S*()8`Ot@cLyVfFQ~xamBZu3 zAmx^zVd${rt8J{uRE?b_hE?fNl@8}#80!f2g*aSC)71=1LGc9RDbL?dfWK|L^jc5G z&;jW(cK$Hdk<-B$JIK<(9?wv9Ajdm)b{W&=1u?%3PX*+Mx}i)9)*H`pWIh~0mY*dX z9tFY~A2oK~FHZz`b`eibMMs|Xde@dG$%Z8ZOSop;STL=v2i6t9G&WDXxWw35#sp{7 z0K7XqkK>KS!3WG>bnp%yKERB$FhuaOV5MPfIFkWSEHxrM;_!?OONxlc`Z1op@yjgO zbOKKjz@``&IPk|g(o;SRCDOpiK`!_~7tRo1e32fqz|+oz3ELqPsZf6%@<_0rsH^|z z2htPd;pbTsm=?O(@=;d{gtOd~X~Tlz!G|(mwZ?KU*(;Fpfv&!x3cpS+e0#Ae`~> z8M~@95n~5{m(>AOT~6X4@!FP|=ak8MV>%n3C@Ak25&4b~5laDH(?jBo!~qC#FeX&g z-f#d1`=9~d@}X=T{o&vXVmywJ2cEcwe1riss>n;Z2!nw|xGj@Cw_)*s73n9|1Hdu_ zA*en8mX9(LCF(^T$j1-Jpe!6MY@8q9mrjB%)D!$;>0+;0hPoi~u2yd_bk5j$M{Lc8 z$ACctzfcZDmocOLHCeLqS??D9cw0}lU)ehI1Nq4#9zr^+kL7LUk*CKWau5~;23_Um zF-?IegZcn0Q&g@upnLFSN7Gab6&K%OdNhpqeYwg`Aw_)s&KA92KH3Z4@-9nNutH^+21 z$B}%Img$%WVMxz>elRW0$&Y*xMt<-*nVvc^9gdKXGT@v*np8j?V*zQbym%2W|Jp!4 zv3S||coD>hK>H*EKc67E7B+1VzjVOLa5w>|YBZcbxp855=9U{qIz0f2f?OE4VTIUDCdlUUZ1X>4r4-H!OHR1ksmfK5X3K0oH|8B z>f&_d7{TeP`0DWTR@VWmX6bP38q|}Z z{(d0sfBSF$EikSD4ftmQ?&AhD;QuAW>ihrufB$dy8XF#Q{etVI@OtoF$wY9)6<1V& zVSoMWUjt$DSp=nx7nYCJB?wH9V^DleuyPvk^MvgemoxDGX#;+~z&C&!@bke{S6vko zh{wC#cva1Lc6f(0~RspaIFk?qVmfDG}dN#_Mub@7cld zU^%ma8mNI9sDT>jawD!%0bpYNA$`?(Zr6O1|Z?*|+#^k+_0uNe9Z z!~G*b_DR(k^$z;rsf~=9%#$az@h|VppP`SRyC@mDKY2pz@$ZeXWKHMuG@r`Ica`H1TTHU5mkP(&#xmmPm$HIFNb+$R z#wdw&q=^V$eVMd6Vx2Rii(C z=T({A#6MoeBLo|n+3`${wCuM1c;w}FNNG+B3+f_y=T=mNeWuaa;eUC4 zRh&uz5*Kz&wO1}s&BJBo()S*LI1+fph`ud)zUqxTFVF>2>d{v&RxG-f1qaV$zHf`c z4H~#$d$&f`Y1{8XdwrZM{gN?$!I`ygSPa{or%` zgCBhC(CFjYKFIiGIS2jD?3vWVx>Qw^{o_12!H#>F322)2JGlL%kIE+ArUZMB?DEN^Jh#-f6H)U~;E|XJF5Z>k zOS#P+qZxhKO_RjE+k>X%{m0wKhfaj^U7zzv&~l=<=#o^%_eQM2yE}D-Lnh5j>tK-Rt{&i}uii?_gw*|n6wu=3pZ4%z^feHDqQ_DX z{f`D@Ul`?vy;qDjS+f0;_5w4bB?Hs&J5S=AM;>m2ACKy#uEL~jIW%TW{ST^&2Y{;B zX=L>ytzzE~b+TyTIkWc$N{eYUiGP9C5Zbvd^P8nYR5YX6OM%D3EfdmxP=NjKo6kX1 z6Ef}ISY2pud(THt44XZm5MbK#QpBjxa@(E}yfQ-4WXxNrqhI+%yZ5lsm5HMA6`juQ zr}_+&KB!hN5kkpY58HH8{K<^zkwi`n+O<|Z{=XzY2pRe^!(2}{<-vy zv*P;Y>zrjf&~(G>yr1U5?=7lmZ|Z2XIOwF-{HJ+=w=wyB)hUuE=YDkhTGy8+pm{F| zyk@gj(+Jt9PcJ3FQ-mFI2Hce?9jMIz*r!el_6kzhB3T0>uFhu!Ur;He>O;L798%qY z4e#mg{Pyvff}ze#9S$aR40fHTIY;jSw~@hDk@f2!F(aZ~P9I0;mQV6goo{1A`*9Lb>tW&9x&r{x4ZvbSnYyY&_W zw2}&by$GK<-1so3@P}~fY6|{s`nM_Dogfv5R(r?C-&3ea_B>?)r(&M6YX=`DqrDq@ zNNZc5oK7uK=C#NCnuR_mBb@Q|bNfj5)7nWl^1I><qxjK=9EA4J-$m*!+g@o-Qx&_`%no+$h2q&pFu`}*2D0==p*|4}M zu{zzRxM&{tEXBujh!3IJcJsUc@#yis)8ym>m2yD5COn43^!Y%oC{F*9d3aIW!<0IH zlB9Wm>R8x@>r=W0C2@IL5okkZQ&MxB3nY~|eb26Go$%wbvOwORz&`mBVVNu1BtLAq zo&2A_cG#IrSa*^lJ9Nut82XPr7I1L2xS(3?;qF}5)DCourz)RN!WX5!;SORna)G}! z;Y=DK$6qssMs;#9Vzm?|jft4i$PjC~f@2jzwgn zZ&TFpN>~QvgPF+5*neEL`Ez7cniV;OMQ5nVeJOsaWAF){e}m}W0DMUHDhd2RX7N4u zI}6pF^rtgs-|TgaZp&)*7SN}d{Y{0clI-Kk^Pf$JOtf#*mhNchX z;&vP&%bb8LQC70a<*eFWE@}!kzIfNf^ubfJJS%{b$?I?A6mR>^5TwE1&X zR7$>+t@)*S*bNDC&3;B?O!J$0QA$}S}@Cw(o~sF#n2 zM2cwUUamfyd#85w``x>gyQ>z(qsb4=s8;~}DT=&F!#2iTcuUpT;WuF=DmXHNW%3ll z;rgroPIE8wq6DwT4kT!vdh)Xfv(q?Mp!Z6ovjKeLV7JZ8*-16!rC zK{Yq!)uL-0cmw`_U+a%_Jl-EQ2?9trC`A~N{(H9m;cmJ9$1K4p7B$kmyA2i_=fFK< z8=G9;t$pr?HSSFQ0&klf&*^sn)#=@b1Lxq@!Oa-6yS4qR_4vGd1p4)Ev6tkCzU9eHwCE7zp{_yPJ zhwB5bfb+JkOoz<-Q#L4iZEW%$&Pt5M=LKhNT5lLm{+H-(3gZJd80%T2t_Qi|A#;OH z=M=ktofd@xeOC7cs(saNY4X>7kvT$Q>#_Vs zU{BenoRwH^vTJNxOzEHa#MZtu8kMl)SwTx95(?Ni80b?@7oG~K-?HHsPZMb?MvodS z+5%GrhlY8@(F^MMVsEZ>>AVV|op&>N5lV#IAbMyR8I@)A^f>Z>h$5G7Dwpl0>ZDe~ zNit<6ks?q#sg;h~#iON;6x3I;wtSHi@>u@?mqquSfrIGCMJ#a9a$BkYu(#AdKjrSedZ%3CGRm;t6G4$=%qt3aD zd#0C}i|e$PKkk=~?oC?(qIAG6GpgLU&6`j3khnd2h6L?SkwuV2H&qsVv%KAz{^1u z{2^v%&yK6L7~`Dkj+YsZ#tPDMDSI1M;+F4P~!s(LnFb!@}WpYEGXI<~= zch0S8=LTs@4Ovf}BcMTERBd(V*pkPgah*PP3u2ccz*hYm=D@PX`=-Z>Wh2qRp4+9% z4zHuxOuxXZ9y+J{5Wky)-+tR+)CfMYC{;fi0>LR59}ixkr3Sj@oma(G@hI1?Q3|`K6)}znoc=`7st|>=G+Y?5u|9P7#8`^dx%gZsNnHsp8U@5FEy= z0othOu*R8Nm#k4Zn54}aF*$TgM;xJ{M5DuD(~UtK14~X0#4+<-z5dSjI~$9Y3hD!; z79}58g5R(5TN%Jkz9Fumi}HrF`t?T=-{y43^oN!stjNQ3brbRN^qUDzH}B5W^#$J2 zI=2O!@bJ;ukw!#?zhwimKJVT!hTmU^$mQ{jAM5#UwfaUE{+TY;7`*hbk!XT?o-RxAh<0~b%$!vLMIj=GNda6i0FZ32VNk6 z;Tp@r!N7WU@S)-`?vF6*KZ=mu3e5by&g-mB#9;wQ$HYV3BgI1E{%pcHve=zB%awc4 zhUYu{7ps(?$q}PlhZd;uqhr5TWF+@>5HwOu+2I}!5yyPcFm}4bq>89NDyHk)0vMIH&HRNvIQ601bA*;@%@Ly9dk^n zGB9Nki%>Advckd;C4_2;7=lgxlvq5OVH`PeM0G@>k{b^1IV#j+RU}2rNX7^GK6$!m zaOq}vzI5P6Qc|>(hzhuA;`?G)2$D?NeMkmXECDtG7^#6wNSKP%?vqF3h1dBe%@tb$yYT^Pv8Nra3Yj(}pmks3L!e{TzXle^#*TI1Y`hZjWyk%mh1dp{zx>Lad_w(1ThUH!XbMIt6onov}pVI1Q4T@xFej zn`oB>*UMpDs57Lx&T>1rvx*tun zdz=P1pM6u4rthg+?6J0n(6TMaUHEdrJ&W&I%HoKsv8Q#~Mu-J3`+MWUij>}c5OG!m zMZRX~0KJtnX}6j0AvVAPp_(;0g95<{v{;cUwIcL1^^Kuzmg~8Gq_%e7>-d!zjYRYL z6VmF8hrZ0dS|U!TX!r0?DM^!g-ZN4k=+`GqL2%F5Berw`0zOZX(@7)ZmRK(pan1qV zG}B=TD^6m46;;40UDxTrz{k|d^@`DM3P~1Bn#Rxhs;+lCHMqZ6h80<)zAtOIlm7*h z$nVyX2qNv=ww7MX4)4Nm*>xF&;Y!mig10j_rPSq0?4(Ir-!l4@Rh`MUxqZ@BG-D3G zxvC{31}(Zlu;i@G55Y`|keVw(}fVyz?b`kiNo!fWeyviGRpPWjAiF3hDV^YYn zpTsGwvm>G=+Oy*d-v@;uN6xLz;!Kh>_NQA3_NN&Y0>de)(tix#J2&Q6VfixK3_*S~ zEY;Pee!M8n%b#&v%3o@^^DtVh;9NC#QFpE^bG_T$?x@x6$HW)TKkwY#%5`wx;D39h z<_USxaAxN~YN;!56F5 zxrfidh0U&%yM2jwC68x$nXsS9t3@8{mc*q(65~6~m!^`(+3~BJOMajs^9hO^2`1!| z9h{!p@P1odoq>pbaS&(ZKKW$DO7f)RU)iqMm z>%JC<#>FMvB*y>l549eb0W3Ixx&o2;BR;cV4bu!$I-nAQ!dv6Bl7Wyl^L*JckJJTs zXeyb`^_k~_cKES=qi(v`^7UBjoH^lkJ2}wO**XL(wgGBYzhVBTfS@oko2*|+Xqy+{ zw8bK|gteHqxFccmrO6`$Y|(ThAehhnSaOgz31B&?Uh5+)%F`qDzJQ!mS$e_vv8%kaQ;P%An~0k(y7Toi?Fc|GK8Vnjg{lTL9U zWKj&XF%xt!V`L+3=83gabUclqTPc*EtkBCkd|TP4215Z{IE|GC~$6}tW1KV6c(k;BX~<#e*7dOeq+ zZ8FZJ_5;7d&Bg;Ik6Sb~Zs2sVd!dKqC8wZs!XR%ncsT9LP8|g|`S%R!47ECJj*nQ* z9)DYfu{u1$!vufyMVi3re>?ptbPVi#P3OCS+41ebZy!vsLXD^l*w@YbV{=ST-9S-x z+kH{AYI`m;cks#Y{so{c-bLzIkiMw%hErVF4U;MC<@KzPp;Gl>i<$0N4I4;MK1%iA z`3y1DHts3mC-Lp@5d${%O@;)Vk1QEPQpMv$&0Rh=hA-apMN?3g&5I|B_WDffXT=^4 zew!e);VIMxKNYo7{-b%34+1giw|rAr!OD}7NK#_I5ml|lUGhh>%Qk~w zhYnDW3(~atLyor=`<;R@%$0zgW|5Cki1KHATJ*>OwTL`TLgS`sS-oE~_toQW^@F{! zs5Z;k2V+QAJGk}C1aX*ZC`|Dya%?aVk^~O>c(l!%KQP~NYerLPC|$agH>Ek~J4CD} z<#v&6H1ENhUD8!6C_Hl_Oo?bk9%_i{Uf7YYJY+pfC=bowv)m##{5IHLn2&0k&8W62)_%gvWM4P+!Tq@Iy*`_=yb z0&BH+Z0>J_u(7)8vZ^b2!9VFra`%I)w&w~#$QE5p)LdJ zivyOUW0IU@WX5x2nblrg+qyD4!JQNQ5{;nUt@h`9)+N+}x0cnkC8072UNsu$)9Jqf zXR|}$$QEpB7wJ|hy@?cykm~qEJzw}P0P>+TKX`CMiALn}y)PC$Y?Iw)RtHcn{a-x1 zg_k-CA12xyZKnxZu~z1YKZ{)&QL=eW`yp9;NQqH9$gG5Sd`6BYE`aUjGw`e^L&OI} ztP5Mkrf$wJiXU1vFgljvbvTjsXK?w5?O(h>dQa&FTB^|F*#Gvz7Z|bRMA&$r2}KK> zz8AH6pE9e;|Kb;yYc$rExgrw2XaTn==ACW1+}0K7@rjLaY1&HE8H zIMc}x@>8nC*%<5JtW;N1QLTD=ep{aTv^_CGfXf7a zChQ!3Ie~4yCp_Q=)v<(}l2~>ddHjF0RoP6+hv0_em2SaoI1$U( zBUWNu#jpI{68uzHAZGq1HX`F;HirvTm)?fUL zX%P(~GVm=A=Y-}JJAHwd-38*FkF0&~1 z7%qwpBes=*!I>x6dAJaFg7XsUw~rRG>n3=fLJ3|QKIdA8>7sUGG=kerh1)RVKxS^i z0;lW_1b5CM8=o^8%)HyjlTDFdjZI8yVN(=RRD1QYtxt^ab52qOMS-Rz06L+1v}lVI z6$G;~64TVSIkCzp^1?LRx8f3NMEO*e_ai8LTN0hf6$&b{pKeZ2xc6FGhC3=2F#gne z1(IW?3lM(B_njIZ`d3>703{F;IQ;$Jn=0FCaP5+(Vl^)~oih0?r{Xa?a#Wt|ueCm8Nq3pvr(=WNQ z>#zRQzqR6VJJ4mh+0AY7&eis%?}d}vXy{8^t`d5_7qvKmU;kcSp>-FZvp-&ubf3(H z&fJpS%dACE0}ucD5e@n7E4F@#f1WI6BJgIFXU%pB<_R78QeSHWk6 zQC-qdxu;;eJ*UV}6m*C#5SK;u%1O^;W@D9*2TNI-aFudCk7TDB|2n?gRcbz$X%WDZ zC489ilF9Rz=e)MgM^fxB$N5~j?r!WiGzVa?BU`VioyNI2LOpfDY=V z8Uc!DX_B?(9I2K=UJ{va_;>!+V)EP7k8Hm-79_Wcw;ao3jRE=o8fPb}@f0oXtRe1! z*|*-fOz&qsY7z{upTPrp$$2onmMbJ#XZEKY=iV4B13wpz-k99&G-HHI8U|=2-U6wC z440(z%4^p4`B|1fe`?d?g7Fnq2B|~&%7y8liOM-3K_b{M5{h+&1eBi_6#O2=Om$PI zUwDh(505Oy0r$`8<%m8@9&-zaC1vCo@?1A3irTyw)uixB10O?qzbDG3LajqiAw~rz z-G@;C48>x_L@cdCZV9Ep$);&88Z}_p`!(|KM68A`0~_7>10zb}=1{wo!9jOiQK7N# zrhf@7VnMOPNmX@4?!g|^)-1aYn{S|@!p`S$*%UQyxL<{x!d_mgM@mCI@huBZ`B>i) z@CTlIOARXB3!AGOBUf`vMlHXlL}mBGcB%aVR3cRo$Fd^v3#nQ7a9BIvFbkt+eNp;v z8B6PFqLxfNVf#){l4){7jm?*xicP%u4v+&qP^neurIPQi1D5q4`G*7S|=@kyBJ#h-Tr$;lvf43oDG7qNMK+oc^k6gQLy zyiYt#f{pa?aRWqD)s4hPe=d^U$H>%UMBF5Wi3(@ZtRHp!jI&;{ZrXKTN!di@GF;A& z+A`+Hy=hyFwQm#6iS-lyFc3Gv`ZYhBlDiUo2Fg}WD_HRHOf_3lV0Ih8D;%+_w@B;8 zJRq*lNi?%$k)jY`dD&KY2QS7Q5TVt&8~rL;JTcHtT8+QJwp^VVfhBDNpSi;Iub6{}@Fq(dxjf74;20nD6Zcl} zhCD`Vo3r)Y>3!p9B0|R?3e?!JPQMu-uD@sGh?W;nZA+)u{w=I<{P`nkk0o* zZl>2bt%o>?3cDNPsQqE$w0Gt^ZW4Cdjl!#MTpQlyXA5g1*~|=#PEz&P=vRBiF6tso zK!Sh?3vGwJiRl_lB%1u@Hdg^^R)<Ubp*_?lJU879lIv>NSjJ~qo;^@D#Mw{ZY&|Gc6Y%1^ z&GaboOwM4>?;CPC;j|;$_j7~aMu1j=Usc5U&v{#evC2}{5B!s9MYVVMYvQuRq}-pN z4s&l#T4Oc{9)~!PaxROgGjt=rt+treVJ)qA`l}F9@Z}Y|Abn)S-h!{eWK zs2DEe<>Y5bp0&NR+@C(57dCPj^tHBVZ|SD=tbvQ35gt=T)5)r} zid{F>#F@b#t&IhYHPP}s?R^P_| zWS@&oQ<0nvUv%lEjV>{yxYtFuxv4iMt`l~%_-;j|Dz&3da|0-burXxi+Pts}Bs`2&Bg}W^D*zRn5ZTHUCk$E@z>1zN@1z9}qyjVpci%5Xt^n8In*VsMu7-nJyV-#$EVo&xjwCN3*57!<3j3QB;3n5oLwMq^lGS!qq$W6`a zAEXVKdqrW}RMR{Veqi0V$%>yXXK8TFMFl@BQxQ>&EY!G>Iq48M6oUncCOaf@NfvZe zDEwKV0T$zA{9)x}*%Jb2$(FuAXv0;B3Rp?4P{y2{T@0A0&qZ_Gam#}9DP2&ppZNx- zipAudJ&^10YPL`ycHs5MQ8y6KZ+`tp%5XT@YGYhe@#Y)`vwi(FL1%^IJK{ zm9t=oC8e3I@Z$|9u&T4*Dc?{N_AEc*J7doP|73bCu2L%_!3DP0Q7u(`oXl($9+soi zAM1k}iwVLk?D5tsd_sJva>EEOuRg$d(D$i=R=q-|MhB67mHuCkeYUoehy+1i#a0SL zMmPR@ueusA?lVSA<;}|^Q9ZsdD;uPgYn_hUQ2~yNR#g1zY-Zn2KDHj|JJ^> zj|t>By(=jxsN4Fc+3jJ)2~ZKtj%vz1P`2XtFih z?EzX}!8nXNt~txnC(%vCOMxt`JdU`q&z-3eLx^3a)*aGu3ODl@Nsi0|o`cCP?HI4Y z6Zb~{rPEws|JyKIG&}JJjKV8!t3}fqubH!B6)W0FD(;03*6l>NyPW7(UHEpi#4$z`#G!=$R;mkl#gJMq=?4{)RPIxmP6>}vv)O4tr2?{EIXsUGq# z!?8=hn7{m?J&-$`{m!Oq=fDUm2(U zQ@fbzQ}8gSqZu{kf-h*slhvdFiKE>nEg4#Mquj7O^~m}`mAz6w(n!UC=_eZz8n=k3 z#5)zy^@rb7Hh0xwSrf;~c1{H;vM|60hvoe6g%w5`s(BN1R1R9Ynu zV3`F`N}82gY}m$S7nkUZ=)LIVB~&(8>~n#DhPHGh97eDZ)D=wLC)rUqvx~hV^PpU; zL{}emBKp;{4`}&>hEd*MJrVsdB9(sYmU#b#^*P5pJTv!E0pNA}t^qWdf{>Uw<_ZHq z)i|&7NCEZf+keLGBa>XNi*ZvG4?*?AlEkh7C2rL07DPN{;J6xcjvua?O5I-S$68y_ zsHB0G{v8!Vmk+$!$aq5|~| z0QI)Vd2UQwV30O4dMHuffmS~X`TylGg~gsF$l+%k)I%lf%^o(*oK8%|={q;fyv|fJ_11X|i zD41mYKr+pyFBn$Zi0K%M^H*V~Ih1fLVBJVB4)D!A`eq;!`!IYH5mky!y_5+m+=GNL54X{%rc1_hXo_Ywo;a8cO(GQtmfmz3N(O zu9hENe&I6Mbf|<#2-4P?I#Ho=(S>=Y;NnH}5IR@sy8U)aIPVOhE zyt5nYhH8t~HKTL=~?0KNni_Vh$Acc{9QCgP7u`M`HY0o z87W`CG0@|?y>CoNi|CxDCj=C$+rO&7nv=&QG0dsh_Y{}N@k*ydTTaQKmHcPk>8$E3 zDhn@3WTtJ(t`{ltjp7FdB{JbI)t+KFL^+C)+s|tH@eV1~iD$H(u8RpB7k=64aJEL_ zYpus@CJ_;Q1q%KDSnsg%<=8<4%7{B$l(sGr51F+2+2urc@*M!_r?YlCOXHmKFSV%H zRDCA*c4;^2b!m0bdHJZh&jl1wXNO5r|NauBTE@wKWF_;Rde+!++H!avfd#yglv+J; zzzDP8z|5{rSFFD?_5F5JNBRsbY_y6aGOUuO?}2W~@grg*k{h=Gt0D@MHx5+AFg?td zKq!9|EB*HNC$P)TpM<*tqdvYT3PNsg$=vu(MfWP|y(9p!`yM zwo_lIGPaW)nuD$u=*8KgR{t@?3=G5Alb3BKnEd2}2gYKjPZ4qi5)ie%iWeJxtm1Nk zz7`fK#TM^hMP^?P3Cp)gqHnvO6>~@%I>-=_J@zt5s;*2t9fN+AJr8#QR}Xh7`y~sA z2n^xXtu4PH7Y|!541`+sVSM2k?7kldJmqqb~eB>^#3$5~v6(++=!QsKW ziHG*=a73v$djQ*zvd&HC6uN+O99e{Q+rLuSpP0JS1}F(1cvA1~my3tH)0QDWG))l^ zgH#7N`|Kc8E;R`l(U3Kf#olK=Z}Ey^YteBvXY0WB@@Y9t^X3=Bdk-MjzFkM!o^IheU`3p1fvkWN#kh8`1gMT-MpIyg+*v|{R_A)` zU#MjRO>3++(j1(PPiSUZJt>4ba)b1Q8@IRp8isqBq?DUcrt+LcV3W8AIQL7v!UD)} z$oaUYsOwZd2|hXh+XDl1VpX39dChIxv5xXRfgxwjoWlgFeny$-p{pp{SuY4lxAOZG zFT}X^8o9M+?wZ9)yE*a)q%@7!8NK^TfPmJx%8+e`hSnughgqT|Asyep9b`o4E6N%~ zMZn*Y$OcmPSQHtiMPuR->&J=qQPZX(+lZ76Oqys81RMX;Z0MRbb*yEWdE>js`==zA zn;30O_;{0)&U)JOaxKq%U#z#B9h6@2p9mg1Mtm7kYWzkgV0x6lJBa=bY7oKDW&Hch>0%sAb^<6iaa`2HgstRUx`h7mX~C*YKUZfQ6>F0o$dQkWsl+m_@Tm#f|L z+9AGSdAK@^pw-CWO`(6*RQrm|@!FQs#(bY__?Tx+RgMWm?tZ30FjAd+md*FL0bD>IPTsM2QB!S-JY+H8igF>ib> zP=kZQwP8&!RPCTNu2A1Qv(3EYe-#Zd>%bO0!g4Uq-iyug7iom2kM6B2DD0MT`Kw5v zgUsC6AMM1ix2V28TaZ_=@K*wc=5YTm zJz8zKN-20FYmUXexnOZL$pCBBP$9}hu;?BQ9zYk@fwMidg8p~wbjy-W1FLgc)BQ&W z1olF2>3HH-hqSGzmn`U0YD7neVOyUv5&?0;*UBfaIsRf76gb30D33L8h?0y;kw<&S za&}u#BsL~LpPyI`J+isYtz8@$Lzj2f^^MH|XJEQTFS#$B>85@=WoF-pToZXR!Eq-< zd<6*AmBphV?|GWuF$qOM!)cYdviwq{1QR+UmQ;tUxcE>7FO}=h1z%24zdRB zKmSD0q9yPRuC$PZ zMQ_KKS9R&_ju-Is4iB&0UnPwgv@Jj4+R+sca6af^gGCBaY?i9uJsbha5g$;5qQMJ(xn{4%2PQUF|Uptse zTgnK9bo37L>CrJZaaWEmIXACHG~$61PaI57GaCyed$z=dBZMOrV72HFCBO}MX-U-T z4neYu1^&UL9lyvC5Vp>09CRP^(vZB~Xq2GOI-~(YrH}=bou#Gn%x5FJ-)RaUc|DtN zIv&oen}Dd2MfUFKXGK!$hf4QZl&&K%)*q&WOcRH5%S8!28QLdGa7B#T{&nHofv_w4nypVpw` zbVn-P<5jG$`IKEf4UjOSPJ{2nEgIuF zO>sH8BIeJms#AfsiG0Si;NZ0!{&(%XlkMTqu4VTH9y*yEeu`#M=?@cT%R4J#X&|ZtjjV)y@~})9#yN`SsIsM@WHR>H%)}-X>Fr7)3v2%e z;`p}yq1?1p;D68-BQ~D(<9C1L=x)a6IYYnRYWaeVmc-FXL#*FG6rXS9yy_2s-t`Ex zkn8@$setPJzUCNX$OB%GU(}lfX!@XuATK`|z}dM+ze?U^8&bli^R~59?4NKPv82!Y zxdT0xH{Z$@@YI*;kB)y_&_AK3Vh*g&hpUAA`N!VjcdZq1(QH36sH{M>!>$C* z0@Nq@SV^#eu>kSe&swBiu8iLmaN~=f%8wo4%|!ITRW|X*-~+gN-@xYvGi>|o4<$pI zA|{|8g}zvpii$1WjQv(}#l0}1&&}C{0EY`J%l+-^CPaEVCpjejkTX=VlR-a)uiGC@ z%Tzd>dO(!2-3BK?qL5;SkSg`QjqtZY~P$@td6^Hj{L{Nu)ls#T&OZ3U(Sm>{%J z#F+bg3te`FP@)K~$~Ns~0tL%nJH|D8=TLA4IwB>aF+YFMeg124XZx&C6kb~5PDWG& zqUytsGdaQ5@BiYE!XHK6G(2HrMp=GQz_4$uv8WyEx!yNL7jgC`i?hR5A>oEB zl4-lBn1B&ZhM51yi|+j%U#Ua#&J2_u(lnCK7-tfx63Oi@94 zIMJSzV*YS-VNHwPu~{3;IqZX7{HEL;HuRVj1?WSd#J|1jwSkv+7z5m> zkYl;k7TnT}Y|gXbH;zAd7oz}@s6@4<_SP>e);#M%bB<|C$t_Yg5MA6bF{`Mg7Md2n>dQ>$X7<5i^%> z8&YF@uMfu_Gl>tGkAoKkSKjhv#A| zFHCCg(JJh~nv6enw~#8|)iJ)JP;9bi!A@kNU{*_Y)`-dzLh~Ez;xs@X#azP0m-Y+F zc5Ym4>_=>cCA|*DXKYHhd%meMtm2KLa6P_lB80qY?G$aQh6bArj3*kbpe5~6`GQcS zdWPfMvJR|?9(ct2in}UZH_zITC_11FG^I}P=}4@*_wv=lKmQ+4_Q0^@ZVa?M-MP-% zO1_W#&EqC&p~7!Gj9=UBCEybGw>OC)Nj?=bA>1S zHC{JxwaUS(nMnI<^% z?|PR(=$RaJ0o)oEw^Ca=o7{NtA@`TX_lPxpWik2G$HFg%phkd(!(V46$5(hKrq*XV z*ev%-zFcJi$T-bz3$eMleEJ7t41Z<0wnjeq7CkYY@uJC#M}@!JAg_#CmiH;u$X49a z$vpj`2I1MIgq&(cHs^oPeg+M$e#~l9t~E?)&C{S|8vHX6YZ0t7WUpVY+UgfJz|Ut& zB65i}YW*eyWHjXL8Y$60lBGQ1v~ByXB-HLNILCEte&>zu(m$V{n}pjyILs^Gqet5_ z{+(#{yfrI`gFeMY;$mhez_HQPI4a2rhAz}iVy3gKhe}gUS*Hn$eywIl5;vt1mAUE) z3dEi6ep+|IbQYZ66W~@}_=g>HEkx#eb+4ZZK*v2@DoZk*qtUGw&3XT~&YKOY2HZ@6 z8)?FwwRoF;SIp2t^D0myeB5)OK@$)BFqaZqD4*fGb9X;Z6Yiet5)_dXpsiUKC$H2z zR7uN7BIVdr8v->@1W6_$W3(jCnLl-Y*4fOcBc}ad09pbGt`1mxC$_DUpaX(@@!VJg zPl}Z5@Ymd%Jze$Jk}7-J?P#TMxIg8P6f>Hm7Kuj@rGdtkn2=R0k~{e*Wgq*}R|>AG z{`z6>spTwJ$#;hl(WS3)zT<}dA5m`|7S;E)4}TOzkPhh%K~lQALqbB45@}%shHg{@ zL>RhZkS^%~L`vy~p_vhoZs`X7?eY1(*ZVIQFz3uUd+)XGTH-oa*O$dj^tJ)|VI8ZV z=l}jWYk2Z&x8xFIe4nNa@C&D)6TBnV1^+XWVM+MjsE`pef5p^TzP~eNo$=#p z;qRYXYnVjgZcWXI>=nXXp*OjrYw>h-;t10#*AIge^_7#&)72duB(n4DjL9)`-D0wa z6nI-k;*v$n5>)8fB zqBiCRPoiA{mUpg?MzZJDWzQVZgs8hK!``h&JD6&nmQZFZI(zVdQ? z$=bY4rp#ZD$Fwru)R;@1Q+1A_4Rj<5Af?$ZlT)y&IYUQ*FUUX1CcDOzsF{!8UR$PCl0#h55oBj^j} zD$GIM_~a~}C}v}urQho}ESWfzo|>_1SsZ7KkAP$&1K5)4m5HqhN`Dy78z^uta;Dul z{M`<|se~N)5C3rfbVKFuo@$AxKcvO78J=RrHEqgrZO7fUsJ4>QpiWe7Q>@Fh zmFI*;z(y%YUiJ-t?u<%?XZinbgfvM@ox391FXjEx0+0gNPgN~{r-H)5Gb)6YiB&!$ zJ=<@q1me%uUT0Fn{tid)#fI+_0_H`8mc1>T_o%|XI^H=Cmk3Or?d7A z3R%|*mh%|sq~!>XjOX>;n81&aprCE7)z8YIHyRWl6y%wtouL|Z?ROg`PBR9S+Ex~; z!?=^>6{>zN_w8L1Gw(Ui+8&wTZV=oFyM2r&Im2CKe4Vp5DkzNdew(c#L`-5#=IbOo1E8vBw+c~p1U6sF40oBm<|9=61jZ97swsOqW1Ug^IW$pc zT?O_J`|T>;z>Z~&jfU*=@XP$VMdUEB3*V#q8oTNaKgz5hylAIvt%5updNdG|a#hWV zP5Xa4kTEB>*FCq??~bkr?DovCp&^;e$JPTO-SMUVam{hts?+Wk#Vcl}_-x`Y&VDd; zEc0K{qPJ({-&^?B&V}tC!^o_flI+_DLSrAds5ABw`IxCT%oe}Jy^#e7H0u7k3Z?l3 zUAY>Ckyr;7#g8}Pk1wMrsJQcNGsWgS3{2k~nDJ^E94deAv%GkMn?qA1v)O5Jv-PZ@ z;0Y|n{p)ng?@9a#?S)z=*fMDSX4pIQRsnt+$)Ft5I}(RX*Z09!2*N)N-1A@9c~I%2 zV#+5PTmAN!M2!w<*8-R7RxhhA{1S>eN4EeSUw^2vZglT4Qh)DhY=+0qvvvFKZHcdG zKO5R^cF`*jeqZR~CjGqk*-0`urnz?oVN)YherNxuhu+(4{6ZYn%NTml7x-4s^7J`)*HuVVCA+h4cI=-N z(?z63*m7nuD6Op)x(jztb8PHJruPBTMb3GbgK>nDr-;p^IJtT< z?o<_9!0_7=j`2M>a7j0?zf!#n6Kl>HaxPDGy$zoplhBz78HP$*AgdGKLuCOFIW_Mq z`J(t6^#zp6jxJft6LvhITR1TiGMX_jwh(Xx`Tg;_;_SNU9h`+IhVF|r^@JOOuCjGN zd+K|~&iwt51$QkcJw=Aa*_2xR;@yX8+*og^+l(IGz||a$HN{P_Y|HNMO#WARsOZ6c zqfn4fOY825i0vlR#7AQ7gW!@<3F=|6{FzNZ#pG;h&n2!97|k2VtBd#Nm^)_2@vCiL zVodW>X+ev4mJTEKEkD5CFI(01EC`n$?{x;N+-Ghi<^IlsAiRede`Yy{r26S&v7J`%LmOKj zxvLVpIiE{veg(eQ=IvEF!e?!(2e1MgZcdxkxDS-H3x~-K!qijt2${bCFx8P;vf0FG z$uYIrD3H`TGCtG(-u!Fh=0B|D{pX)vr&+%;1fYd*#xLzbd4`K#wfgBr-W%IvN~M_U zFrw1tqL5gxeBL;$X3*(7vx=$i>`JXC=XsPSOYwjG^{)OllkV!Xf#=xyLvhv~Y&C3h zu&Lge!>ZxY1N|63L-%G2S)tFY1|w7L9L2U#KwPjTvPaDuTb@>CA5GU6r^YaAVS%vm zTaFg1_o+2|PvPRXeiJFV|8Y0$Qn2uyCTeAse@~yP*-@%Rkh`{dvp|*q*p)6w$Ii~_ zC3u*VN0t=%yE{nGY;n$?@{nCS+f&#)x3Pr_gzuk!4adIW} zj*^n~!%CTo2Jdu7dx#^B-Ry5$4@A6^2-lKIX1}xCHOc_3`3aI$- zu#S02#<%Wa_``*#y?JzxGuW+NTxff%p9Q|$z4F@{cyTA{Fv?gQ$N_U6W;rE_xXQB4 zq-V_yRPwSaflw|=*wH#u5nyZWc&v2&<)1+uokEm;Bs{WthZz1V>8Pj{)!!$g8t zQiU5Spt35VVePPEPSJEPsi}`j+1_aiax6lOFzUm*bmiGWFWw%$r51WQ4YF!h%rP{Q z(h`nfu_GtPi$^X6`DynRQD3qYh6^@V<6WPamK-k7?wn6QCchULAOpIsb|Yhn_5TLj zsVb_5haF}P>6cdn%)JS?M)c030au9<)>WhRCDb2NW(*%==W}#Qrx9Zhz4WQcwVw=f zC-g;&3w~gh9e9UkgcAew-KJ&C<^=eLlv< zx0qwC?n6z|FVVO{Ct=?_`I3yN4@+a*z$XTL;FcJXS`+D{Ff7h0T1|vb(@aK(M9DLT z@RrQhc#c__C@kJ?mYB5SaKN`>5@A#?GkLyZ$~HKOGn^=o5qZ*%*)+ZZZlWS=(xKer_n+M;D9U{6A||>~3I&98mSw(EpXmR-p={XL z_*i|K6|53WKe>&b`8e5o(pxQO$u=7XULBQeq;Y(Gzkzt-*AgocsEni`x+NN&2NH*r z^~$>Y`EOhX+{t1 zx_1maBq|M$TtxB%Ik8KR!mkNkaEuo9M!Zc(ww4c@qz)t9*%v(iFzKYz>HGZKpCpp= z%E{9Tj#$S-S>=dz%wRbHtx%tZBh7kJ@2~m(`|Ji zzgT-QQVAcyaF#CGYTHz^ipPSICUH*k-NdrRhw%G~$b?>|`sZ+!=V93dgiPlesv63r(s)Aa4h=H0#bNwy(JY|aZyp;5hfErP= z^Q{}HCbhepkWj}GnOw4cCNhjo)5W^{Q+;F5b-@ECGFDgn(>HxYgJB9FBy^Bt(%h5> zMwVq2#f-uW?P5qp%||+{Z%M6>trlWV32eMFgNV5p)g?G> zqoa{@kSO8X+jlA7vNzM5*lOP@@wO3Iari-L+o?g87N_rXY&h^-G_*HyFo5IaVk9`| zib|sKq9$s0a0ma@`@jtRnf|CK^O#|yt$|dGz+{06R5-9`RYoUqy^#%oLnYDOi_Y^TT(eJvt%y; z6l^Xo3(RdGL*~VTT17qZ^+K^6Y7#5Yh)%w$Q+cXt;Vz4F78JY{Yr7bNn2Im{48f_T zaW2S#QqY$)csUli_@vv;wzP+>)O%h5YGOVU6ZwOjbu7x7BIjkCdziA1i@|_3kKb!U z$oD~JOFpEf7m3Opv?w|IHr;{>8>{zi8qfMI?7wZg@XhH_=^l;j#@enZ$FK#$D784iI{(TAe-}II2TCH zM9F(J^g`+03)9q3ud*^6M4ayMOeeG+mIM@qg3tOSU}vyA-Ml73KzEzt<->0M8N@Xv z1;xESQSh+XaKHo`gh}B~C!4N-sFgrxFVK)Qln+W*%B-bYqk?*D{5wh12Khi>QhlJw zVVA4Yq7-Il1~+Tmn7M;V7^+_{9Xiql6vD#>al_guP`P{7-khRcyg<^?PP*Hu5xGS% zzcp8JqHN#GVVItaPX{e(?RVxbCRXkt5wyCp9^9(0m^@rOLQ`p#7weVxO8gHR35j$M znQfDi*JK1ur#Ort<*#;JS1u3(d_$heN|#E9_fyjX9-ZX=EfR8DVXo%OtunOwns@M- zH+sw>(*>xU|LOUW!5g|d^WlPZ0HLNuA5+nhj zD$?T4akuPejx3L-+vm~mWMTrBX%}XOiNt?}h?cbsnEw`(+A7Yo1F?fwXibF?vJ=~3 zGO!ak;;U^JlOYuT6r@<7>}Vxr);H-SXv*#x-8V&xjw{rZ>t_vgeF8PH_Zjx55 z0x9mjTriB`#oxC$&ZVpi8e+xQ+B(#rObfk)CgZNCKie3jw$DUj^H2irVQ0oV24ZUJ z_ZI1H^8OW8i!+>Y?mq9kp^8u>eR*8va7XdpWMz;i?E{0K-&)cTBwY9h@cVwGJ#Jf{ z2W{%Ic&PU8few_S{;lvbf~`m2#yI18F=KzCYT2@5w5~4JOO2myGdgVwlfgG@6;3}T zDTS4y8?ZzMF`17_COdsKkuiT|HQgHZh&fSq6Z5#5h>|}+p6gIJr}7M5%G?)>mAc%> zvk(5W9z4H7B~x|{Zv5^_Y|#8cVaA)++_!D)zqgB)%f=mjptP7Vz7hP+`d9OO^(%%R z^^A%qrBEt}z-SrMSr4M#=c2fUg-|#m*yy7yQpI-1Px@8tB!u4&B_y6J1`oT#g`|Fe zT}IW?LrGm8b|d4}R>Plm|Npn2VCxa8R25Kiv|yhdh=NwX#amx#jG+#*^&$M!(L3g5 z!$tSMyLRGH8z5YEAix=N=zDU(@ACuC4g_);(-QlsZVRYqYN$9AXO=MK%UrVW8Kv4H zi$DmOZ#koN?RuuWj=x*@(2F#|yrHoJVuB=qS&1fu2Qh4uftv&_ODX&!! z2y=3QoCbt1*OA*_bmDQY*cf|(pS4l*vsPwNmab~!O8pVRH#fy|6f?1tUvs#?1P-n3 zz|WfP{YgH!KaOQK7;$PlDR&XEKfz>D^_jvy_t){ezyVxhVJ-fG{&SC%q{5}6*N^Ir z{pPAO5MTPWFZF$62mS9+hWD|K&h_ihMgX9UAF`P~Nit&352B;iUM?KKyb-f08Xb$_ zjPncz&q?c^HW=-AxrFq-g^luaYyP?`1`C zQBgfLRzlw;!mq-5b0%uJA!xe+#pBH_g^H~=vGd!pW<Che3(N7 zXhVD$I+>59og@s}VZj7S(^HBl`n(U~T7*eIT0x$c6Mum#j(6MDT*mvcTYkpCq1LC% z@GZGH=?sHOTUhhao7x@{zI|}(@Mv)GuzGmZC1G>3_3AeoTS#)yPd8La2}t~ycbUoL zh=lSu@I+rf=x?I%=pP)!lbJ93x^2FPvTLMsA1OOr*eX^IyKECTNx;Q=iS+AOFn33RA4R9#3(QbWKX)&sfxLt(5P{yE@)9&ib7UHT$a!l z6`u_4k_-igoB^j2Yz)uN7?%M+40|u$QQC*Rs@n06*?Jgl5-x3|)=>%91({TS-OSQ} zbA^a*uX9kExhl{GxZ+p%$E^cV^&8XbLqY2xLZb`z=1I^8%rSi$bRbx2mO23MP*HiZ z&z;3MqN{xCAk{7lg7Xby0A3VRK~!l;)f~Q8L)k(H_2&K)V-1@>N*5gS8kL3A{p@aB zTjkJHzr`!2FRH~E*z;ia!&Y56Ommp^(?(Q-m8YxmJ?X0;puH84I{)<^{fPqp*OkH! zG5;ztW)RdJnV6yn+}Ko{^el%A+cU|2oi3z)Op2(GZnI* zqT^Li&UU&w7NPO5Cj-w)_^r!WAkogf?Z1-A?zV}Yp8Cy?e6+A7?lC4v9CGbC3!tRV zlSFlrNb7y)@)5fYl@W8`X4hNYoeC|incSNV5Ck{>H76gLFS2pk*N38g4&BzwXF9BimmsPo~>fu0jKd)7)5D7 zUWR>*fcOp9@Siep>_9K+;%k`$N8O z3w|Ai(T(}aE+YLgK3bNt8GDzEQOn96vkrSMsF}E$R3c&SV0&3X z2I-~O@w&po>16Rp)1-iM+=D!`zF7Binl~f<+J^m&UKdd-&GrbVIKN3)B`JfEH}_si zZc*LX@p_Kzh#<45m`(QNL(uKYiDc1$?$WSy9rw&}`@*o=f=1Kwf(HcA90;_(?rb@D z_fCvE{*to2-6UGwi=hyRlHLZe-WrVU!^)t_^!Nhz0gxmf#> z&_`HJIZ4=m5ine&a$jP0>!aa1*)>~bx?sT#q3h_=$jM@hz40~afMnd9 z%pUCUoq84*mS+|Uz|W0oyqic#Jam;V8txnCo>*AgDHBerZ~L}WQ}^^?SA48o*L!3e zO_2ZQ(~3j*(tAMO$-2!&m6eUow`xcn znfZ(Zug?-9(p$H0E*!PxKvwZ?>x1#515?~GLJ5D7Dmt8BJZv6xOUt`b+j0M${^n^+nqJPci|LEazX4sW#{uktl z38=dYLI?|(MGzYQ`Sf4D#gP}HEN*-2&ZHNa<;8d66GsYanUCYYP0kuzUzO%b{Dp)- z;UQ$~EYZn8nRDTI;x}j7uw0}X1rtH9l#9~bL1j)11}#A8P~1xU$SSvxQg@PDjtz9C zSo{C_8;Vd-+OGh|{MnkL`MWP%&4+bS<-ey5)pQVSA5XnpS(_AUoR)$%PfsSQcqf>F z0y~6!eft$Eot0Wy6owkMI=A4LN*Sr^wKjQ6*Y`H6_wG)}%6PHptNk=X(_%ZaTN(Fl zGMYE6Ci!s|R600;#!``)?Hz(XzC~e35NBMBm%18Z6q`iUe=(t_akaBuGKcz`&mmJn z581VA41F&S0yj|%pG6gh8+?_NuEl6TX>;s$5-_ih&Z8BOR)f~cz##*0py_X*j|CBr zM1!CaY5P~((v|O01uBUQ^Z@YAUq565!T=DT-cX@Bd%-|9)8UTqd+AOUj@)-WrtGfj zy==yRzb6#Xq0EL~)=*NH@Q+cv{N(k%hAeUS7Nl#VVaUc-Y5?>jExTJCLAz=LoAD~E z4N=9ABF0NUz*os4y-=@e)ffXk(6Yz8F1}i(X*IRfSChJ^+3-2zxvdL6(zPuI)=;{) zAv@TwlC6%s`_Dm|Z40C@lQ8xNb`mAHed4hoNb^SSCp+)vWqSKcklvY*yW95n5ASfj zsaH8u!n2kwBZw5=)pY;+Fdu%ru|K7Z_#?fkKWM%pfu2uvpn)KT-d`N629Xd$QoCMH z7Z&gdh0F4-2CyMdmlCz=0VUC`aE~70#4RoKyzI7@2F5smqOh+IKn%qA$N4W&%@$^c z7QK66pD%OV^L-{{XbSG)H=dDxgW`?kZCewmbo4)oPdRsHoH;TT&EK_AkgIvIPL>zc zZs%P*4YGA1#sfi+KUT!nct)auAX&Ta7^u7d%b`(|hbR0asq#{UhQ;%ujicV+2o8&C z;gP%^v435BGR-G7up$0Wr|O|t!b!Uzffe({~k4^ z-gQ(9{Ao3i5S{Pj@f}GP;`i@66h{H{$&w>K%VH|WF!7^RRt^7Af zPy}(KB6hQlfB&N*1p5UKy*mOsB(q#HZPHD8%>LJMYq8wKVc|RY7!1TU*Od!4@}FjT z4y%@@`^bG4Eb1Y5ev#cxouIX90-zmmhmxvly~wmF-pj;0p}7?gE{l z)YOG3c;KDb^4l9 z((zeOVL9BJdNXa+Pc`F54{@cfB8rangU3#axtGcI3MTng)Jf#%*K>(^@fWZkN43r` z8O-0eMpeK4c{JpOP*~Bkr5)8Tx~Nd4XCPx+hVofwI=)YGog70){-G4pRc0>x;P zGK+YP(|C%uYw3oLAv(kQsnX9&YRF$xo6rQ(n}pi)S_2hag4OZ+iYiMi(pr;41Z8>l zqKU{a=UK!V|4P}n2N?ulcLEgcJ5S-f&!3|b-&=L6e!!Pd^oYtM$cCRK5=Z_}We^n$ zL!dW?B49@+KYMC%q3W&um4}vq=2_9pddDiU`IAt3|GVgYQJOUe-fg#b3<)e`vv>Eg z-NlkanX^InjQo}`5M0MO%ETv_ppQT?J+&zDPh^h$u6@2-Pp*uwk&(D@iFRwi)W&d( z5Q25;s4@O!eylM?Tqfq^=Ty|7mj2G9d`!aQVpcq1!{M5o{&+Z5#B)!OYxMaLBN2S^ zRooH`e}K}JOCz7G=j1@UyElYhC|-i7&!1i_NMD~1Xy++Y`(*7$j&BrQzR2vA02{W6 zDfVN%w29dgNDumz=TgbLliH8~#8I@>)j3|#l4ua6`9XC{A|eNw693+Ymwoc>^aU{z%2th%;Y$z>G=(#&}b$xD%)@n5@9 zvCQ5haDN4E$AhDSbOqxU-2>FIpH|7joa>3hiT}@|o?vN%3%@b#o*;SQC5Tu1RIyO9 z<4dNGC|r6`e?Z+wo9QGyCC|v%Igw$kC&Q(+Q34M(5r)0u_;DsOQQ@<#50(uhR-gOq z=agO5X>SX8N34r;$C#_{5~+P-+%bO5QR_uAbXXZOyNL00GUlFr1t5}thd(||U2I}8 zeecha++TOvZsUxFx9>U$W21KgVr3y4BBfn4k*;2^Q?gl+Pg-tTwKdY_@koP7;+ z?uN0KPX39isfzkM;7vYAW@&V#2}-e-$TBOOw}P;7NpR2#vha`COJI-q@@SZ7*4yB# z(YYx%B~yCi@5IXm{Cf{Yy2soy+2?GsEqJgbH@)+1ASWN2H@PGVj|K(2XlHdEsMEfx zwRls*LK&;(oI?LeC|2kwCg=m;J{u&t*ekYDZdGL;tYAG@DfqkW5$M{jjP>P9Y@pB7 za_%b+HM}SRn8@cZ@-rf`*q<=_K}lP^UVW)6DosHpI_765?lW0Hjr4+SU2HAAQYQP)bTG)GL0C=cBtm|vj`SQS*UA#C7kb+s1($lhcAEy3&aGX z0lAiws$_&LwW0K7(TZd8OTfITRPMddjX;YmM&=U$1S2H&F|}diWRRt}U!pLR&OG4f zc+0)5kX`^?+*1S_(6A{HC7s322E3#vE z{Or0L`)Q@G_zSQqzfdm59raEMENW`Vv4_6Ste^bz$n8YB*LTF4TJIxW$j?`wBu;BW zX;ej`psmGJwx9v0e0vsgNE(#r6`{LS7^c_$QMW12Iq;HMGu>7-se@Rh@VI0vQT%f1 zh)R-?OkHMu)nPg}KZY)$Att7obv?h&?KRHH;<1T{`4b^!jV2x{7HFC1%=WlnNpfuj zK&f{9)KR6)0%MvWr!%eZ+vLPQQK65 z&@y-!l)yON<%y7rq2|@tvy*A3R=@HXOF$*$Q3g^?X^D(rgpppnpWtY@m!KInxPzeL#CEGHqbfd zNE`I{Idbla8mn;1QFQ|f z;Jg-jqi!KHiCFG)qdP_zr{`=BME2$}C3oU6F$jo2-H$Q9LV%-e^$D_Bgp1GcLYJT< z7=;3(La1$U!e67nL2Y5H%268hwL9k@<|tLDzWhxW=hC>ea%iUY%bG^(zP1GDYu;pR zI^0shHhTC`3HA}o@l|$Tf`@|c3CggFR7KS2;Y!?BKjo9JUqH}8>AW)R;~CmJ+v0e3 zWZoj@@XIRC{ePOvSR5D=eHk&U`t)J-TeHf5!id<@g7=EBR^voh6#thS5q?lZiT?z~|j>F2$F}xkSIvsKMV{nQsmkA4~{R+){4=migH2I9+EEs5d!3 zq_sW?p?8s&31mN+PG$AeqN*vRmaDPSi>qJ1s9z~5K|fy0FW4_wXX_1dP<1_uuWVS9zAde!^rb z{pYq(@SggAVT0;BSpJ?QbhSFeBP|6ypY*osjl6ZS{Fn%w_T`kMYv02Y)^M5&D-gVIZY;B`m1tGoCR&AxTUaeygXqp)~Il9j2$W6R@1rn73r`&tiY>o@)kjGhzvkiJxDBH8m_ zvtUrk;^|Md`TcUk0a`M3f8aA(dpTPY7`v`E#2iBjwljuI$cT2k1H`Me8SpHSxz0O(M{!|Ig4HApn2zo!hsmq; zu44ERtOr2DR-h(lSLg8wpGf9-bQY87oXiKKXy*vHssZ&KELkWJGfX1%yo*1m8bWge z801z@CP{5a9N`E(aC0d@N3bS)5rxcV=VWsCdwDlyb- z`&uVqVL}H=8E#38#fjfV|C$4%5#YdydFI4wL+d6b1}qYLm{|vDGy=4pNU;F!6IgPBpaF z&0&IC>4Ejr(Yi6dRHD(OT6VZyV zOOdC&9G6rrP=>7Cf#>7^D|)N&f~ziv|2?~zR^Zguqc?QU#8$bWXb(ZK?~XaT5n7D- z9wuZV_bdJluYbFFnu2v3%3 z!)gkVVql}eEl|Kihd`56k_%o)W9s-LO06qT>3e0|%N~-h$^aKj6@v zQsqxR8fazU)$db_5)7E8%}@m>?V-sK3+^soGTrK|kcX|NBs3`rwzt%~N@cv;Rm5_f$GJ zKzIoPG)7d4g`t>{F=(7PvNeaYAI7ptdlRvj2_Ncl4TR~7*>w*j`3M&=IWhzNK=7UA z9TmkmtLocl>B~!7%Fy-P{kZ0i%r_w6Mbee8Tl4!NKcU>w7_|0Dz3T9A`9n6w|LD9c;RC+LhznGdBxVRvA6 zc3H9AdYLqP02s6u`fUlXAQe|sNoBUo=J~RH@KHkc;GY}H2EM$r>y*2WQduF#2iPvg z*xFpuF(*7zp#ymzF>-Q=7mi^*M&{}r)A!gcD|;32IQ*|V^;icr zK{$h=4T-Ig|49_Z=ER?4-M#vJpkB2*UD_yV^S8|_Nc=WSoRhk8^?z|()YU}tR>#i2; z1x-j$Q+O7***`n*XWzCqWiK`E=4RnWd(9kUp?rssfeKS0r^oFtZB9q{LvGQV*ZA!x z7D*RK%08><>>WgIgph>BEsZ*|@20sf%`-GeZ&8r`NBk4MM#fSzSx_ z{HB|{y7c8CYdkR7%Z+;N0y5SnO{IVauGjv{bbVZeqJl>|ldr#zgE2#=M+{o}nIWrB z1N2TJ_j`a2MMAb6!EUr7n&bq25#;-Yh@WO?&>| zO20MEC!ntzn}Djz%g~hr`i-nXw<)f8<)`+P_P`apuH+xwT6>uz>e>OmtGrWaqWx@U zH<=gyn#E;&%HW@sn7=-!NA!XhF{UfT3KDm8~d2^cMq;8mH=UH3xp_V14<{6N}2>m$W)u&vH2NGre1>sz-AAcabbZJFKPN z-aV?o$4t=JH|*4yn$zfb_oJ*~AhVDQ#9cFaj@J>YGcR86_v-PwMC@C7Fwvk{f3*!q z9wpAN#!crhG~-zz#KtYENhFcBQMM{AL~tP4g&!}paZ7q?Z1x1`BI$3>{%{Y^yJ;}h z@qQ(Kqsq+og;!llM(i3*54}jC7p3ukcn^9}6nx$@D|b$?`*&{9#=F;Q{ntwlU}D4A z4e<`gMtpAx%e~b!vvD}Il9<15WDyp5t%NLB>Es-7K#q#^_dRBnS924XkVoZj`fA^; z`>mf|$|+H)9*`X*L*8nNNefBo#oi#ms!Ig3CM-<42Xu=D2gS{}?_%@GET~|OwSq<4 z!!=-0f8*Qr`apr#UblLAK}W4=SsVx=k0+KSMolv}AgCrRsoPS_E?`sOBOCMj_M=46 zuEM#lBGk1RWA;TiaU1J)o_!-PZKlM{lR)W3d$To%y35*p(Fl+C(kwptjW$9{P5eG# zS^biw`|4w;TRh8q(qm@d|SYyd`)He zj9lu^ZaYNRCEKgE`l;#I?-_UJ*}9}d9z4bNxF^mep^)=h5TD{42>TW=F|#e4)> z!pKQZO`5JRi?YGd8TS?2>md5ym<>%rM_ynCih@~^QPRvh^(<~01|^4PY)qbW&T4qu z1v$;1;Svw=`^Yq};ec-8t5ETD%ZQ0}MKw{xS00*(eo<-pqBy)=7pZwuS1nMQR}MT| zX4@ZLlyrlVzwPv7_$7`JVUt#0gHfF58kIF$!4M3vOUdfB>+ zqSCb2J*hvQZnWq>Cz!+(ksS?qc~~8%D9T`IyH3`;g8x26H()J|BZ)AUGXyiC6)&4^ z@gb_aDkv5b>mfp@*w`8&za`19M*Bs@KmH!UY6c4++6=&)*GoZG!w!E%@NmBuj{x3_ zh<(1=E24NUiv@fQjHTE00$)I_jvsbt6!hs1xH1pG4+^(vTebK$+y+iH%(&P~ zL7=B>wb=6IyRRBd{hIehpN~I?2ZAV}8l;LZ8r)0`p$zmd2$KAQK<5GnMAc-`2$}Ec zK?qd&=A^{R#Su8Da-Rmn;`#iHJiip>12PH}hZQFg^4wemt7-S2{zW)Blzdf82R70m z^w$T>i@n~w69L7CrgxYyenR@ld!E!|2E|Zhf)AHod6m23%xhT{OV@>`(B$Mbg#+;sEI40!Whh zqu#1lyp5;R`9!a&>wcCnpXg>xy-yc4tOTsXn?v;l3r~(qgATp%(;()FlsX)$IizYt z%P8skz5WxLUvI+NO88@_qmICk^Q|yVi zd}HncQp^J(QqljY21+-EWDp?&n=Zg+3OWm-x4Se0lJ7bS1%eN}@)3-Ly&V}xg>-Ys zX7zBe#eCg2Q|9T6s=v>(?pAe!Jb7IO#G$tp9q+Mgpr`RJ!W@d5%Ok;;LDr6$d50E@ z-W6Of6Kqv;a=(>rdn}=P6@JMecyEW{So-NO3m^=d=^;rP?I+FCbD2c+PV=$*iK7NK zdO0mdqF`nDXpjNdACPzuUV6Dk2XwN_LYsbn+eWDp%p%J#?@a4k0%0CA97+0Al}9#n z4_zx8N2y>ukwFY1G063{qYxTsgb8}6K7i}-E_--DGd&1(G`;wo3BJ#@4W*^tp*KRJ za|r2&+8)#ug#s&bu3oyKMci6gvkuY@l- z2qSPFyY-@Q&nPOV zRS|YDt>}s5=(Faf2as9^+Ql|7yfkeN(^zy|4%*9(4+rA>1&*4b9ZatTIaer-S=ds~ zDAN&#!t2{>%bC(p4^}XKJ$j#CZ)-aUrM^J2y{DVzJx_moxA~{QyIyiHsN8zmAV3FM zn#r;C_OBe%fRfo~XmQ__y?pcE5vFz6?PPbM)2cJY`3vCP%+t}@vWjo7F?x? z`?r)U;-En4Pw$W^u(!)Tzpxl*PQM0#B40vkB~}T=)7kq~@`Ymb%Oa+qld*oR5TSQh zLkrhK^*tQaKf&N!mkdo>*O}!6W&_Dc%xube)gUlFmPb8fQ-!YJ2k!eoOb^nu-;Rfl z$Bdnw$Rxdou{?Tv0ShH!wp@lkI<^eH2rzG2JOE#KAo}Z_h_Bd`v<_?_u>nAniEy&1 z2y&J@eX;k17!v{c+4;KsoLq$l!C?(dPD%N0H* z#v&7whw$XH*SLLWlrU?`XN>Uc-Gu2?-DV!+&Bo53v$kMUNdYdq&o)+hP_=>2nRh#e z$NGp*R-HXR_r_{(+;6#92BV%u9V9Ta9{j2Ay97WE>bwwm26>-~nebPOX=ZCN;V897 z!%~&JPZr-kJI`%xt_FPVJd7eys}SzHeavvPq1LdDo)w#j>Tn+ZWM`b`?6{U5u&K<7 z{(P7X&PkN=L%RQHMc#V{br6UlWMG)=nzaxKv-gCxj~$1geLNsb6y!}jlc}b8wc7XJ zOw?2!{ht2J`%_GtCrUq;Ye3BKPhBgl#;q+5OSY7j`qQv&*GcITsRz$^5f*$a$K?_mPQEm*r8BiH&U2WgR{vfAV;*Hh*X~Uj#=yeHXtrTd*j|HKa)obkcBaifuDc0$0kQ4|tMq`78f;UY<_pyAlU6vEX=Q>4{U9*?KJy zGU0@;h8~z2<5Y994qRW7Fvn6DDENEG|JOQ2I)NWb!1Wh+jG(P#+zlXoRXF3VChD^} z!v$3plJ~vnw?ZPa9+N6Z$MV7m>uDPb8ZP^?JW}fTdyM~Kdtf_Tys~LCzW;?Zb&lq- z+$tEPn3YE`;@A2wX@~eOIZVN?@0~mbshj`(;LV1wHoar8BrC+WDtUpE&Q}_6na)Db zH?P?~ET5dxV^sh^NG8r&vXzS0`Xp=#1KULv-YUwFN1@F zEZSN+?=JL~UmwyhMxG;;vX5@Fv`5Zatj0q(UaXnv+SH_hXaU1@oO$ASc4~E}F0us!Vtyp~g%fNcUtpk0B2)zcH*BmQD%RE^bNI!;C@Ya6& z(DK6v#G2Gmw@DwW!hoQyQzdBgCpB+TCpBjHs1v`k$ve4UAy_XsiiM<)N0rd=(%}jV zOLXo0wgo>0-cC4z4BSFEzaQ?01S8RV31@f3$zjI!scJGy^kjtmIDcg@;R2#qkF;*; zKDPQ?rCU&6`@wq~{p@ysMon=gvg`84G{ULhtTs4fqF(~d8MJ&F-UY_zP=iQQ*d(cR zS~pTPhHE60k|a;^1^EZh~Q>g<0oWbPI7G zowwJzWWjGmZPS(C%57Nbvowq8oe;P#!Z{%le;UI&!)bn4lltRc_&+P5N7+ zLplG+8YKUiXMq%P(|vg>z~MBSJ96aCDK}EKWh^gSk<((>+;oqUm8~ zqYr)kGnX~d9ik|qDw^ZRN8pVMbb$oWPlQM#`!I_oe3{`eK)l!FO}{pN6dVnfu>t05n1@2n*D zN^9cQN7ndEo@qsS1Ro7fUmG3~9LRG6xx8q6dnLd1tbC=ofhg5IZs)0NpT`b%O*^x7 z^L$E4XDn78YE2AG@1kAT-)bsN`yUG@7WVi7)0Y$A(2BPr^VV(gQ&~O98P_vNJVExe zxN*-XI)Io_!cMJ-{AUW~@(50o!_E!=0F#iCBbRYr&hfw<$)RDeK8MpJYlg%ZGNm2{ z>ta3#jnu&@mQw?{gCI7;w0jh&Si7xpptxs@&5M*G~y%TXz_`` zmkKjA)vUDg)syhBbN<`lpQ%45B3MOt_v4(bbH@o!mULGWZkmi?%71G~lxA5MuTU6p zA=a=$bH;&~Gd#nmcR*jnMR&0!0%Z4AsEEvI(*H7i``X951oVnln<{ro6o~M!8>OwsW=z`?YJmxw;EMB-c6smA5gp!ktxk(IX(x??8jB z)UhxM^+#5=Mm-&njJ({6M(~r=s_pvu!zY`P?{r%8m0>1d90y9Dc?n{OQMH)5PB}IVZ;Jd%^BoVO8%|8yjWH__iYWUqO(gHS{O|=P&KT zxvG#Enjl{2oG!2YYY^}+{f=++sR`RJzV5m6v~tT~cL#w4lFCTu+!&D-@k>Y1cn>Av zPPqVJav83(WTZ$NEq}BzElu1nArY&wvYeS0IFZLNDOQJio zRy%4_d)600iA}}qP^t(@s3JuuwFz1?REt`vO=8rHy{S?BKk++``*s{2cywJ6a(&+K z^E_W?_tYY*bfW8y$Upv5@a%Tw1Zw~h&#siJqWqC-qyDjB8<)a<147^hnnvmeE5?UTy<=TA|Nb7NF>*cDvo%hz<)<_7FK% zbZ(@z%WX&(l+`}97j>uW6iMn4YHiG?0EQ7xaA?Z2fBMi(0{R(>{Y{EOVXo=Pm3QO2 z{tUD1-ogO7l?1g}fW9$P7FLJ5i;RF+DQW8w@`e_22SM>}nXC~l$z z@j3s_df?N2dR#=NoiPrQsv**y;rcWqSIfKGC-++=*I20tM)>)$^s;815OwOory#6p zrnn>?=Tzwuwjx+DTIgjFAgif;B76-!?x;YTi^A#ZR}>qhra?luF!*(k<8jHGj&kD@+c75CT$Z?dwRS+ zd7H&VYd;b&z_HG?II{kr`x(I7y;C6MN_s|6GkAt8-vePBZMq+ZMm9WU{|4Ax=ENPt zD}RYlUYvQ_eU*6?Y&5WY+PxLEPO|FW&l{GlE%TD+bT2d7$e$L+a2M2aYfFIn{V%@a zh!kH$-3y$DCA+rTvEZ~{lO^(TEYmW+Ap-xDcm%pz9FZ8xdd|YpfQb%pK2UnzJjr^+ z9Un4OKkLJo_4jpYHQ4$dK-S3u>c$mYijY1J?KX7Jg@{rIwThy8zh`kzbiUAcXg^s< zHokJ7>^4Vo?5I%NGevDwa?E05%G!wVDCA^+dN`%(E(jr|NzqqIUqcM4xOWPvcfwIh zZ<~3jy`M8=KZTyp`xF}JDx0_DykS@KA(%!=u1*5Y$J@i**@iSd!+8^h&7KB0EM2_* zi1trBjgvba+0*g>*R^2uF|`~+FYw($IHh=%$%8VD6VGr{jCJ^n*$%5M$0ta z6H<)Tt_K5dlA?c5^qGw-U(UIx;4e}z#)YidI{`{l*uV}>)S`kbg(ydq?*6qzOg<={ zxqO|aFM-B?G|%?aZ_&NZnu;ef^KV4#;zGAvlL}0c&jo?v`y3L@^XG+V`31+tCN2J< zc`6Zg)}3Gg-8=7+;?H`pR9W9NvmnQTWT;3$^;UdRHfTLukpWP?V!9;YdX=eXE@na% z#dxaDYM>@Q=9;2H((Lx5;*_HQ4VrPNfc6ydbfAHxmEFh_3Z9~dT}hve2^>gpnoP0s ze(dv*0?|7@#`HFZchX`FDC*o>44+Ly(W`>?n{GqAStFtuot71(x9Gf)BeQim|9_56 zn9$lEQy&B3xj)34D+xap&P;H6`}`(A8~9Wje+%bmo02=c?T#L{@PoP=Td&MEMI1&BrG~Ki#3I}hVsrMU>myD7b+67(j+T80ojyw z2pK2sovekDdV_AFHpfix3#M}{nq%2dlX7PYGOxV67!n-DX_LPN2qLF=GNtKCX)j~O zBmt2xAQ5x7;+=MZRYCoW*K_B51EA&5uh9R*-42MWNWM-Ump&T!N%6f8Sw6KpC9cT+_2)^EnLxAPOp;R zN}H93oCbY5FkYh&Z|&e&GWoc4AvU0gX*sC+uaqtsRoQ!T+I;Ub?x<4x4jwJE){`9J z5hXeom$U9Zz3w5-d0Z9S1hQ3WcZRZ&eY=|t38n=u*Ep{MyWyO(&zLi5Sj#@Ugr>N{ z9+h!vU|O-!ObP&vjZ8jU=pWqf5S=ruheh*`l~vH6f}Zb~p)eWpv1~!}LmWpIA~Oahmn6|11_lVJmE%yVmMS2~i0sTh*Cbnx~ zuAIT>K=3L_HNz(^Te5&5Z?v_;Oo(>Q`g$hF;N*g(!Q;dkleR0x61>aXU|2^ZOG+8B z?O-n211}bmo3;F;d7|$M4mS3VyI^zqah--Dm{~}}B1lf@AKuF{l*jq~z1QP^_gEsr z(Xd4xM5Dwv^IHXZ!2cuiS#XjsWr%{&wk{Pi0&kHZ_dTn_RX9_(`SPtv|>}Hk%=|XmIf0#-iroJd; z8F{89G2j8v+_@(fLWS?DN-kxg{u*8Bfa8r@*e@8#u5CwrcS;36BN40>uswaL!P4bY{`~_NPNV+$-_dB^G`v%TioF>!2c^m%g7OZG1s+*#w z@#-f>6%8p7>fn|UBGaO{G`_d3^`MbW=kKcN^0mU*r9fW{vCi3y8A6~=zp^Y1THs9n zci5{6K@94L$i)Ar#+jg$zhwobVK_LjVjIzkV9(`)u!-%57I3&^hlMzO(@AsTX=$kXc#z;k$S^>wA}p6rhNLPz12&F#!~UKv#ziIU9WbvQ2Q zW8!YN_YoU*PSC@JZn#ImfByZ~B^HIOECByk7T|CqQp>)2(HpHREXg&ZsrfG3`TEb2 zo7E!~*gR{43cZ53iD=%GP9bdl>R2Kj9UzpdhkNU)SMygiAN-XWi?y5M?xr! z#EO@Qz|F54V;O1RHg?Uhz!W(%$E4^sVx5KT$}Rn$edUyOAGMwsyX&dG?<*R2Lq< zwFG%jJKa5w^#I7Sl=Q`SdtgGWrB#^Nh>)!GdH4|{RE$8lDTDR|zzAM=$D5}bF>DhA zBdAWc?*pWyeIj~1Xw5THR;(s;miMMh1m|%(sXU-}myBKQS)Bg~*j>nVcS*mH<_;x^2_kDPxerjY7byekX%=n_hCvv*kgMwGQ?S zGgpW%o=wk$Mf-03y7To|Nt#{j;vPd)v$V=Y0fMoQqNjP zWEzwR)Fn~dk?H++u0Y>H&4#Ufbe4A(MgRsy;wTM!kak-O_Y#DoAS-w)?2>72lDI^C zbqG+ACdD9@@B!U;H#yn~dbTKw4CYc3OmGx4v~s5{x9 zKP{7{gjE;553;`v-BP?XS~)`!6OZ!34)X|`<`UuIixbS+_f%#(b~IvtT?|eO|XQR7%L%?k4?CZy+3)OFjTMr!M%!i zgG48(&<*y=Ja>po9{2O7Xf;7~Nu8OoevPRUCD!JBb5d+4#!@Uy1cUe&9;c0b&b5oX za zCBulyvRM1T?6~-iRTxs(pZP((?fU!7?s+Nep0AfNB-TsBfNh=J&et($Wvf1kT2k%n zcDwc0`$&cir*|aGs>R`kB63}XD`}hgnXdzJlZe3{*MTn7{rA!MuHB?3x-O#BT86%z zFVyNC_m{MpU1+M4g(czxfs_35{lX4D@3~vk&c#xsnk$t26qTMcITIqnjUE&XS&QOl zW38ABs_R~Z4Nx0qspv=Q!{4HZen6V2E6(=hBtcaYEhow;0crb{X7By7K8N{JKntoY z_Ow{UhM=tqFfBu9d3p@rJ>FR!H`a!KH^8js+dBxPQptf3*ZC(03@s0pzxXdpuDEt^h5X3h2lyx3UU2v z%}mi8OtOJrlCO;1>JL|_USMA$6b$$7qWV39 z0fmpx0M4Zm0p@S1`X8L( zn~U>l9`5%8lM@=a90zgXKRO*JR-;xTcieg%WI?SVLXmQ~qC6!S@#tiKi2GyBfjm+? z2=UE792BNJQC-rbKwYyi*=oJbV)o8H2U@M}JKeOK(y-##?Rn2E9~2HMI^1FBMf1`O z{aLwry1DM;lyO|b!TX1)Qj$rqCe6U}oP$$ThkyXCTQPV?#Bo4`w8ex=TR7%k>-_W6 z`{A8HAOL#!hct06;?FDg0IjY83kZ08#mt06aSn(OasPxOx{+ zebrv<9k-E3>cN+b+^zalq8a)2bH;EzT4ZH6PNKa@@8UnHG;$3h)SsS$E8Q)LU+hO% zA^FezcJhVG=B%04!JBU|d5@06M`E7EmeK0Q=G(BeB)x#SnYr%Wyr1 zVEjFn_XMEo_WKTau!I;jrEMkuOD7NEvp<-7-7dz=@1d#aqUGQ~HIBY18ca+tHdm-~ z#G!1L`+t~%u!4YMuh7%5!_dMY)K3&BX@LDV#6t zep-Q^nLGd;cuiD3hLJZz11z~WXaxUq1)4cpb#h$OXqa#CWv>BAR`W}}IxdNN@`=y+ zKmaWZn70d8W8Ju99{=Tu?8qZx1@d8~6_{Hqf-rKKRIXZ?Au4ZU zo{bGSmN5WB0n5kT{>|XmW1aSm*B2b`ej}xJg9MD3f>3w8fRTh927vtRg;%ci2q!H+ zX|cE!TTKDjdk3)FL;Qt65M+x&6{MT+99Zc&U1}iLsQ2u6oN7-F-c|PE3ZBTom6jXw zQHlPP&UZt54ZdK9I?-60{_u!C0rCiqU<&ty1SyHs014^__WPs&GBwfpehueK<-XzI zDG;_=n&EIIxE`s95H%5 zv=9tykPzRQohZ5_9ya&2h#8a?!jV()=wdmb$jai8`fr#Dru6&V_>5TJsfdSsf-c}E zxa0~e{%Xh=ZTEn`4eL&Lv5$PIMq>^On??g^^wCqV5tkX4;Wo0@|RQu#`g7V^LQ3_X!HvMFkK-_2ER$A1U4Az$cpbI1+4DYZ|p6$f7gy*$uC-~8EDuKEJe!#j%tUOHt^dvH766#t7)e1$B+jTf>t?N(R+-t4ZrX2j%E^=rzB@+_e<*Kj%kEO~%fk|k$zJq@XS$03x zex@=pxj{!rtdqX3jX1Ra zT?-KO-qKX1xns3mlwEi2P1WY9qlYD72aLKZI#Oj zUlO)g9fR+$hqs+G`~*ts_%BUH-o}jBUdiwi>(4~%G*Y}&^Dpb&WuwkY|GKw!4xTf~ zLtV%xediIKDl42_WeP*15wvJBSla$uJSd)Ud7U&qVJy>%_ixv9v#bRDJHnnGVMy`t zx&T!oPrt2YQMYa{mID& zAUF^ni0)~}zUD(Om(-PTB!=Z>ulknJ!WIMate)EtSahX9O(#BV^Cy!eZ`B(D8nhr) z+trLiD+=GmAqn|uC%I2z#-1k3z8!F+fv}C1DRI~}%DQS{Mv5{*7K(LPPmJ*#2L%G) zG?{4o|m{W0tj(X@a?aqhyAW1RnNo#G&~JJ+sGPGI|Wz-INK(}2gHv9(D_S{ zQLmFWvZG`1=*bHoNc)~}@l7AJ!vUveNrA_A`@?7L$OD2zhKTRH%2K=67T&Sx4Q~|B z36KX)EBd_vLm(6M471S>UfVvn{Q8P%=$t9u1YQmAbgMQjb*(A_RsbB(J~Fazkkx%T z6Is@cF?2mGHbr~1x#-z{XzZa^TJH$~+q+I!;#unac;5dXA<9yNoh2c9l}!3Pp{_=9 zFA@4R{pISm+hI?M^z4FBfWWmrs7U@HGAbz~1{U3xP(dJt(P;NR4PI&lWV2^!-z`lL zx^tXT5zkUdkFsKePl*43b1y^wXcXtp`$%-;OgF(P@v0E`ydKcVN#+qnjdM<}w<4~~ zd;!Ec(c*rQptDvvy!*^^g0i*O&l@@qVurf>^W@z9Do!WZS9K>WbxfAk_{iUrcqclj z! z-aC_jI2gb9xlkCF8&KNHEtK*A**-Q=jv?v`;nrXLR?Y*p0oh@X*4+$O`>4|E7l@7b02e69P$}RCZ(2T2$ z&sPND`%w}>XQLy?&GqfAo&d3guoVfJv+cCH4sg_r!d9JVC^NfY?kzK|V0DQLry!c= z~~Jq7VDW!DEVHLO!<$er8LOJ-M;6U*~v^3@E^P zcwWl5I+7Gu{pvsLfDcaoYxfTA*1|_(EW1x`Rz)>`;8loZdpLW;6R)W^Og(g9^t@dP zz%KT{i3o6_(@}S-oiHS*q|@01ayF%tP#DYC&}d|sATTL>M5|r!JzUJgfwBUk7^L&% zhfx4Bs_&(VwBK0?Zhsnd@gasV zX&itVuRHJCEf6!V{yDZAF;l^POPg_)az}G=-U~4(cP;+Rz{=6@2RV5eL%YY*3G%yN zDZxam{&1p)S06DHfhBbVq;cK5)$CJ=3h`8Eu%`mVd}TgdmYoix2)AZ=%4YM(cl5{JD{+RBb4EYS4~mYj4w&!YI-b2is?(8ll-ceQB^Xk{Kfuk; z%b)De5Gpc)mF6UkT1_%Zzmf38DCGH!n=LzIlbf%oA2^c(n1Avv$tY>vxoeyUI5{yF za}Xe7AZ_{pZUOyE)8}13*DH`(Va~zLw&&K}Ex0<2r^xG(1OyO)vg}P* zzJ1B75_&R0TjtPZLyKAmyTD4PxI?*NHk@)*QE|)_4o}X8KlBSJEX8ed4o**}8!kWk zJ4L+{cBrP%EXzFmfog;7Tei-BU@2xo3&eex3%WfeU2Pst9Nf|`LER)ByF<|r!O@dH z&|*0-UvC&7A@#OmV#eI-H(Tc&x*dKc^*=0|Dx-PI)5#nbP7Rsrqdd_9!!)?LwB>SSsE}F8o&x4#*>Y63E9QnrqPu%6l>Xi+lJfNi6wpN6M)c0 z75@MsQO_9Lr_e@_!Yc?E@Oeeq(tj5^Q2vgx53r2$YW#Ci$k}7bKvUDX1}Bbvz~hIC z&=hw58gu#bchf)3D|SoXyo^@B0G#`TJ*r)XD|(@O8H+m02u_gv)JLQCT0l-1UqYE%%** zU%fLO>3El1K_p_qY)9ZwN^b}Dg}C&y*W!4iP8oae-@GKYrm#c>{+Dq|En;@2U1IT` zlpcP>8_6rBX9aWmZh6s74Cb5j#6j)0!`uf~M1s;RpdHI=1_g0sK@=m4K(WM#M`iK( zeR$mD?X+JX$3MpWfEXzR2wfh?TRMIKVdFM>{Ys2$xWz&ImUTd6dSsk$$KzmIlYqev zy3KSMwc9Q}2;&o%AodN3V(o+{>`uP12InJP85e$vJbL^X&kc`ziQJJ5Z0=>5ciH$RlWeg@unwTLa9Uej->J=P z#QH|Z!KkFH(Ns8Xoxx_Gk|wPyY-ApNuOyW?BKrWeMf`@d51!VwDi5oW1m(*qx;JxA z58hGxFzGoTd_WG_X0b8&vHQC|T>f8Iv-jUKvzDI5#6iz+mkt4cds=A9eQz`dbW@gn=2ao zl`tZ|FE2<*|4VXVTaXoycSBwC(8XF@oC`hJOUYOiFBIjGvR@$Y>@4YTEqZFXh8Js3yv90;1P(-p@7BW6VzVR(kvQX z8Mmqoy!0id_R#n>PIJvdMxwAPIo*k#P^t4IuRiP#C5!&N+;E;^)ye(lUHs?S$Nx~7 z#2Ot!W!(UP(CF_57S|(BdGwdwA09FOSe=m3{VDn0a6`gfjZ|t^eh?vQG;anZ+I<-Q zvt#Zvp$5!qY22ImvQO6zuk^n|RCBuiL&XOZMq1bY^KgDU>HS*!Rn~IL$Y+?v^@781 z?@@c3_L=W(rT5`|s|sf2y(0pRgptD$HrDB{V_b<(7Y-kSjNxRfgalh1&_Ri@@xSgJ ff@7WV(J2`Vq\n", + "
  • 两个变量都是连续变量,且总体呈正态分布,或总体接近正态分布,至少是单峰对称分布。\n", + "
  • 两个变量之间是线性关系。\n", + "
  • 二分变量是人为划分的,其分界点应尽量靠近中值。\n", + "
  • 样本容量应当大于80。\n", + "\n", + "$$\n", + "R = \\frac{\\overline{X}_p-\\overline{X}_q}{σ} × \\frac{pq}{Y}\n", + "$$\n", + "\n", + "$$p 表示二分变量中某一类别频数的比率$$\n", + "$$q 表示二分变量中另一类别频数的比率$$\n", + "$$\\overline{X}_p 表示与二分变量中p类别相对应的连续变量的平均数$$\n", + "$$\\overline{X}_q 表示与二分变量中q类别相对应的连续变量的平均数$$\n", + "$$σ 表示连续变量的标准差$$\n", + "$$Y 表示正态曲线下与p相对应的纵线高度$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**二列相关实例:**\n", + "
    10名考生成绩如下,包括总分和一道问答题,试求该问答题的区分度(6分以上为通过,包括6分)\n", + "\n", + "问答题,被人为的分成两类,通过和不通过,应求二列相关。\n", + "
    \n", + "$$\n", + "当p=0.6时,查正态分布表得到:x=0.25\n", + "$$\n", + "$$\n", + "当x=0.25时,代入标准正态密度函数Y=\\frac{1}{\\sqrt{2π}}e^{-\\frac{x^2}{x}}\n", + "得到:Y=0.3866\n", + "$$\n", + "$$\n", + "\\overline{X}_p = 67.33, \\overline{X}_q=61.25,σ=6.12\n", + "$$\n", + "则可以通过公式计算得到二列相关系数:\n", + "$$\n", + "R=\\frac{\\overline{X}_p-\\overline{X}_q}{σ}×\\frac{pq}{Y}\n", + "=\\frac{67.33-61.25}{6.12}×\\frac{0.6×0.4}{0.3866} ≈0.62\n", + "$$\n", + "区分度较高" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 点二列相关\n", + "当两个变量其中一个是正态连续性变量,另一个是真正的二分名义变量(例如,男与女,已婚和未婚,色肓与非色盲,生与死,等等),这时,表示这两个变量之间的相关,称为点二列相关。\n", + "$$\n", + "R = \\frac{\\overline{X}_p-\\overline{X}_q}{σ} × \\sqrt{pq}\n", + "$$\n", + "\n", + "$$p表示二分变量中某一类别频数的比率$$\n", + "$$q 表示二分变量中另一类别频数的比率$$\n", + "$$\\overline{X}_p 表示与二分变量中p类别相对应的连续变量的平均数$$\n", + "$$\\overline{X}_q 表示与二分变量中q类别相对应的连续变量的平均数$$\n", + "$$σ 表示连续变量的标准差$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**点二列相关实例:**\n", + "
    有50道选择题,每题2分,有20人的总成绩和第五题的情况,第五题与总分的相关程度如亻\n", + "\n", + "p(答对学生的比例) = 10/20=0.5,q=1-p=0.5\n", + "$$\n", + "\\overline{X}_p=88.4, \\overline{X}_q=74.8, σ=8.66\n", + "$$\n", + "$$\n", + "R = \\frac{\\overline{X}_p-\\overline{X}_q}{σ} × \\sqrt{pq}\n", + "= \\frac{88.4-74.8}{8.66}\\sqrt{0.5×0.8} = 0.785\n", + "$$\n", + "相关系数较高,第五题的情况与总分有一致性(区分度较高)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "PointbiserialrResult(correlation=0.7849870641173371, pvalue=4.145927973490392e-05)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#拿上面的实例,对了就是1,错了是0,x是第5题的选答情况,y是分数\n", + "x = [1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,1,0,0,0]\n", + "y = [84,82,76,60,72,74,76,84,88,90,78,80,92,94,96,88,90,78,76,74]\n", + "stats.pointbiserialr(x,y) #可以看到相关系数值是0.7849,和上面的计算结果一致" + ] + }, { "cell_type": "code", "execution_count": null,