From 265ed01edeea74194dfc1f794a1eb40fd88485f7 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Tue, 27 Aug 2024 05:01:51 +0200 Subject: [PATCH] corrected typo --- .../_build/.doctrees/environment.pickle | Bin 266262 -> 266128 bytes .../_build/.doctrees/exercisesweek35.doctree | Bin 35251 -> 36241 bytes .../_build/.doctrees/week35.doctree | Bin 504916 -> 505522 bytes .../_build/html/_images/week35_147_0.png | Bin 0 -> 23864 bytes .../_build/html/_images/week35_182_1.png | Bin 0 -> 27987 bytes .../html/_sources/exercisesweek35.ipynb | 68 +- .../_build/html/_sources/week35.ipynb | 832 +++++++++-------- .../_build/html/exercisesweek35.html | 9 +- doc/LectureNotes/_build/html/searchindex.js | 2 +- doc/LectureNotes/_build/html/week35.html | 64 +- .../jupyter_execute/exercisesweek35.ipynb | 68 +- .../_build/jupyter_execute/exercisesweek35.py | 6 +- .../_build/jupyter_execute/week35.ipynb | 884 +++++++++--------- .../_build/jupyter_execute/week35.py | 12 +- .../_build/jupyter_execute/week35_147_0.png | Bin 0 -> 23864 bytes .../_build/jupyter_execute/week35_182_1.png | Bin 0 -> 27987 bytes 16 files changed, 992 insertions(+), 953 deletions(-) create mode 100644 doc/LectureNotes/_build/html/_images/week35_147_0.png create mode 100644 doc/LectureNotes/_build/html/_images/week35_182_1.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/week35_147_0.png create mode 100644 doc/LectureNotes/_build/jupyter_execute/week35_182_1.png diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle index 5b1352c9634cd243111b6faf0bee6baa228e65e9..c64c28a76df8d27b54c5757d6717deea46052d90 100644 GIT binary patch literal 266128 zcmd?S37jNHaWAZuR(s!2A8Z zXLcmk27^I@7UzgVfH4?+U}J3jF!;pAH$L!%d4^~Fz!-nne#Y4Nvw2+a9~o7ZS(Vi@ zmATXV`F-N|L%Z9R6%~>H$jHcu$jp~t`s_s)ExL&Q*V*7VO6A(wL9aGdZq{p)Uad9T zS+}=ct`-j{KfPtP{}r?6X8SsqxQ)i_vCfKOz0hiUUa{Pq?L08_pzk&Pp~+IktNC7S z=#=LcKy_m1sQA-6;&vush&4QqMr!`d& zDb#D@<%!wO>Oj2k-%IxKgGip`^(n8}EEhdrh_|fj)+XBSga;YdG-f8KKm1X@HBAhK43*_{m_si4Iv)X*Xu@derWs+0LbqWXzj=y0g4cue$tx zX?we~s^PXuqpkWV(D7$W+dFHTUZd`pTlMA)f8@dNBZc~8qfwdxC;s3>xdrNj<$7lL zskerR{j-DgSM;g!p|Pfmu0Zckx;_|3mrc~`6IE~2t+~~i7QQ%IE)sXE(4kFtwB}Bs zduKcMoTyKGO|R&T%{X_vPO0gQ-?KgBH|Pb?;pms`_ddYg;_L+kcMrMu&W7a1>*)3- z(O*}pPkN&bD932IhHfd$KGoUW_PtS+SpgWjauYqk@M!T13?zPEPrsLazwP+}y0cHW zJ6nXl`1N+P;8n}DGoyZce7t;?zPhB=o+MR%s*1W1e>K2QnY%L$sHbx7+Ph|ae zqtWzye{`CMnm_v(M3|iMTNqoDZW#*bhI(6Wkv88r+-OwG=%4*=%XNmSGkxfwTPr%j zuyw+5i_Ul3tx_Gmy6I@W+45@6{T2LK%0D0m{48lsW2RZ2C_$wc@4R{EE%-^uRIN|c zXFJR2kHJO_3b@WYTd1~+)R8T8Eckj1W@XcjHx8B?GqthNLdh$fY1E8Yui-7Tnxv0VKk&Yi5`Z%LC35TT#UO@Wtae=CE|xM z*Y{|cpo7;!cX^lxMuN=TiqcG@j$wfw0g)9z)gv{8l_0bT!^w8Fg^^Gg1wLb5lfL#; zXA5=ss8@5xpr6E9%@<>zL|lo%Rj-YXdmsZ7Qmj|2ZgUbN45OGZFOSavF~2?LgKnE_ z2Kue#`e&+TzXeIx3EE(K)JGppf)%2QQBkh8(8Y^MwK0~3hNJlw@2po4WJcX;wLU!x zGgog4U6D^nkG;tTL|liiueV!`b_>=Hb_7r__Dl6?j78bJRi5T%}zo^p9cDC@ZgZOn&Oac7wXp+N-BKt5~+S1t? z5YYR~EA1}bR@!i^w6V0Qw7ImUbXjR@X=iDBY1dPwTc0l7QM$9Vr*v28?$SM_drL1U zy|6S~I{0+yJ~X%=|36fEpmg-9(y`L<(u1XkO5gW%>CvZ4r%R8O9zT3_X%r1!QgTaU zr9!FLS$fuEluF}Il_pB1&Stg8Mt!deKY%RC9}Mz?0cX%HPS$H>QvJbVv)(Ayr)&7N zgd1??=vdaHdp6BOz9_Y6u!1}II;9urwF-l(+pI2Xte#B@AjC2up ze6kGXg!W%d=4;s~&5>nT-nZZ%kDtyzxohCub+d<^SI?fDExn9>dR+hMCiSP+%yw4t z7ztdDl>xpqY2nkAF@8$pmQ_9Sw>+ z4T>df@MlZ!Xm?igBsV%*c{UT6#7S+pyC2&Nf7FFjQ+oPw9kZ};(!%MJp9LomBS5y+Mo z+hG5PW?wN|`WP%e`Oc&^!4J!+_sDMWFPI00$DpQg7(J%|hr#z|pL*bX_}|k{Kh>HY zEB!nib@8Q-b=LVUw?(qUDHD@xNOKkD8@D>4{OEP|p7f^5-n3I6cSfSuoN4%S&PmUA zC*dog3r~54Qmy<_crU_HI08%UHl5+>gajpuXE$UW_=Q(O_0}wcbrz;8G#c8x5jx$n5NJT z^5>Q7Hifbx*X_#BUMIibE0o2TNG1FM=K$79lccdnJ@{5d?okY7p{(3a{7M zyx;R0k;55wNmnK}!;@&DJ3W8e^Umx_=)|hD9}};r+5qwRmBf#US5%n2&UFvt%heeN z1`FNpRtFq%co@ZqyFdUQo8Gb4%#L-IMMJ*yVT{$v)mVu?Hp`Eq!OxGj%SVbC;Ac0; zXZkqjCO66^@e$9D2j$~%h=dq&gPnSV5KL}xo8BNql^g8Q8-!4CgL`FzIR-Mf-7DLM z{DydOgM)g55HfD?fZiY+quk(_-XI)j+~A~appQ6i@{nv2vKbB~Zt#7wK{Ob`LB%Z| zPiYZ{W-O&e9Gmf!7IAPYvPDAC;~3RsyZFFjW}EVHf=nEpDcLSQ*qF={@^OMp9K-LA z+QCU5ZDJifTl!i2ZPIJGa2z_Tgo_h;5}l=$vApoQ+hd&-96_K7e75wV&RSZ0Rot_? z;F*bN5#C-Zqcxp%jb3 z*0NWIuL>7ItlRMU6^O%>Fjs-(Z0XJ}3+oc*bhoo)%B^C`WxoiYu3&zGD|A8-nC)DG z;2jwd^4u$LL;v9Ka74KsgbP>ZSfpW_zqAPt9jj#Z zw@X{~qC2DhvRwQ!IzHK&Jr=%-)kXMM_^b7Ti?uK!dcx~m%Kt_%B5JagJvyxEIPxa& ztGN_f+wvsgdv5T_@Y%U1;S8Odjox)8Jgm&mwt^+@c>9SbW=0Vfsrl%02t>=>r9m5# zy7C%GT>4P-{xYH;=tKBp=}o0)!@px~CSo#Jl)|H=HGXG#yEUG_Bkz|dA~tB16uq&k z=#9IG4L~*F)ybaNN@1IEMD>U-EY+HbEF!)DRG*68T}N#u>*Nn2j73X)`RuAzvpfm4 zuD58KLCk3!t~Wvnqke-Tflo(7Rtfi?<28^!{GAqj5#Sq22-Q?6ToZLWbU)xclB=^` zHk0EbB-mL)p##!wpJF*B5sr8~x%i$e*UIqfC%j!l&{D*RXYj{RwLCV&>c4C7&LMKd z^N`{ULTmm|;EU6s7~BJ1;r^4>V?qhL^WyYhm|d?ghx@m$7UlsE3jG`^{_0gPbj(~e#Q8W|GGhF z0L%z_yfup0$b_mNYZ}lG7lBz0_hHr9n2|`Xsv%a7KsE=kj~ycmv5tSk@Cn0I=Vrx& zRg-Rw!koSc@=6t6hP8R4TsSi``?P4cCiwSgd7?%kI(RWecT@alsOkhv96v;uA?luu z!J-cfJ^XF7=ry23hZlvLAocgI(%%XFb{AQSYVb+tBJumRE|0{2^s9 zt!N>R3Zq9cH_6aS`W5jkuZh^Bq_G0wzUCq;NJ-Fj)8d_IN72Ic2bmp$#y zB`@9YNh~(0O@cTW+xF$5ofEe5;))B~zf5FEXhBHfzDocNR`q1_X1#XQJ*&m~o`Raf za8}+*hMlljB_4$4{k|726Iq{&I*aLdvWT4(q6G&OD(f%4=pykSda^-2QIZ(ZwuAQkNa3m=+I~+8ftz4&yxJM*e_*4<}EStw6b<+5V`P`PT_F_mp1) z#+zOgTZvv^?vOIUa1G)v;j_}~N}Wgw?&&aioopKP8v;7P5V<5I(qYl)31XE}k-4KO z0))vQn)lmKhv*$<3U+7|_5y=k8A_W(cTB>+5syZv%S9TJ@?DlyOfU#UQ#htvLtFr# z2r=dsBFRDd9559=Stp1i(N<`dMM^Az1wV%?1~Z2cYQ33wzFxdP-9&t_HbJu_9E26f zNtBAN1g{h(kO&%wnh<($1JWq897gRW?NdqG#_4cUz#-^`NcRQkDQ=0- zPs{*Fb_R}Dq*$B9Gb~nGqwNOV91lLH@XbS4pJTi}Oc;`+H0vZ@g$F7E@JOf$7eH;X zQ4nYU0@3$knet&zMFjXUxv&inVO-b+#4J0T7=XcW8VfSK8%ZlEONQiWbF@AtmNX)G z8qwpitI(34LUJ2JR6ZIN*}cxipZo^nSQcp)8g|a zSZpFI8|7a}m`zFxp4t4V33{+mc_1@V>nX()Eqxq#?O2K`Ejdde7IU+Yylllq7lq3@ z2a}uI@DNl!aJJEh1PErTe&@**4*u6fKCxMI_{TwLeHD&o-_WCjH{SGu$FFC=x5O$<0YPM^N+h8_KPIYUFvbvHPZ9#*s>;y+!&s**yElr{*6tvI)0#n6p6 zu5fNdbeDSBcLG$xhD{3Q2dhw>_aBXLuXQNavN9hiiNa8 zOSJJB(YMv|l;?m`0atn4=?i)>{0N~43e023L6Jol?@$9le-H_h=FCWt;vBA4BT|FV zodZbl^ihX7_uMPqhBgpvef|A+2|DLgg<*o_TFq-x58Nft9&+|!5j2J+vol>nHHM2+ zP-Dj7%(H_kjzSgdG_N@5JY23;oiWd8Abtgnp{$YkbgSgHoN4q!&~gPNgH>r)MVp#4 z(R9Z|Yk>UJ9~q-s zYe2Bi+@BD3h*}Il5DX>nYy+5%yH(#CaLCpW1#WeO3=IJedEcYm_WKWDQ>U)aZHG1y)4rOj3(SACu^@ zOZj4Ep4f^zArZ z+tIJ~w9qk7A*zGoAAQ{U+>_LK1QIuU*~=W2asFq(s!EjJii^)Q2PwMLN1u|^sclT8 z!A9FJ^(n8%+Y&cy)3^tG=Y|{9k0tpa`U*%)U5NAO&d1`UHMOC4>3`b$x(IAnxw#YT zrJ!%UTG4+P8E+vzfudT6e&+^tObR6qX_3GJopMbSxA}eQ2n^l~L5RIc6o8l1rEBHC zqK1Lc^p$HKr2HK#=u=i5^oB zYYt2$tk1X@eVCYPP6a7!>SG71dK7`VRen!U47)fQR)apuG5e-y62*VOs+i?fZfSlB zh89MT+A9^*7xFmc5e*NDfPeu%DW+mfs90T<(HRqD-l$W^V7gQFa?zn$wtTZ)6J}CO zznEMpC=v0gd>Dn*flh5dUE3ZT)=Dd|r~GTs$L#I(-8|srZ(;3^c?3#JI0J~&NsAa3 zK%y9CkeII3QSuV4Ie7iT{h(wtE)^LKxp3m*WvW(!iw%d|M>JHfB6x+#F6|iS*2nSrh=sEG7N=k zk;qqyg(6i0iDDqJyg;V}72TD66by`i6lSM{bq>{16gU15cBp;#NN__Pd}Y7W-C)=;f6ITW;gA(A2f?jZn~pPa1b3&bQE%l->flWN>G zWOGgU!65WTVd0BU_aU5mx_?%Q5`@i)WlSr`+Ht!_soi5ryNDd7C8{%)Acaiqq_tP< zQROKLC_YX93AtJuX5s?9fyR88g3t*2t_vSg?vG1PqGzkZXKf0?J{|qOA^e>NTTtvP z)%pI68dj$P0(}?>~89 zWaQr2h=tAa?I1CU>WoPQG>!}(yYIo_`|#?KBQLC$sjgnWRw|aJNKY%Tr`~x3bpiFk z3eEwGYUm*Q!oOfU1$0eBQiAl!75sog2mCitX^i6G_GB$cyaX9#YH}6<4CFAxN49bM zR=rX6raXi&xo!@Y35glvViPw=MsUQlfToBnaBTPDTAdR*8~HWyh=M}Mv><9M-oi!& zXz?gkI--OcQ3cfP!q23-rrAf{4)KLiB;$HL)s>;R3JZs@g@cSEtdv+SaF{5sRIKI& zZRh%kf^!-Y2YJFrk3f}b1NWhn>da$Lw#lm&TOmAO&hkq0C)+iIh)@$qqe8a09&26n z;DjUMyuuyB?1aF1^v%h`1ifA`RgK=C)zHD8V2!Nn0XYJEaB`r(qUXA;-C{sce#fbwF2s^=?yv9 zc{E>6KTf)55R+unL3JDW8}|DI<9#D-tEhTnR*izll{4xzx*i6hTpJg=hGGRTAx|P% zi1gkqmtgEeeAB_o+X2Y z==jnb@5z7v_M2WJC#}_@Rp4}@#bQ{lv-0sq@tA__kqbuNS(vya2E{j!^47ewu+fUM z6g)?8uBB$b*A}pkY80DtMEVV?ugs(yC`$#C*X8j#+Id6ih%?>{MnREt)k~2An5elV zrTANY9MYhy1N*y{l9y0L;Jve);<0e`p<$h6R7F5hQrgnMxiN}bHBsxds)hYqZgEtU z55ap0MOjk_N`D~E=+rJHm$|hd$}>h$b`ctippERU%L(L`bN7c!)Mzl+}apLjZw{|2o3fN7S5og$uB7a zUduy#l)Qj;?WJw>F*4xA(H3T!pn51OOX+OJD8aDxstq_(wPH|TG%JQ;XLH0^O;Jh!6C*Yrd9^%-XVh$~Y!-YmtU~B4xfNfKyCySh?|P(T7^H2(ZD`7T%Lgr@rGNRVx^35uDJAZbpHR^bO= zVv*lb`pk#_#e<-771_nG-xM~v2yQn1e69QrXPrAM1KWK+V3XorA={BhLrQ{yO9c=Z z&XOag|D$GHGlX#+^0YN}5H^kumCD#ehU|Lyiqc~dU4CbM^iKFd zzU9adVLcLUj|(>L)lo_yJA56~iZwM>&qDQS;&-8>>uCy#x9TkC5doh8xgDXZQKR%k zn^>j_A~e^AOIc+F^inuAG-P6oL~EXP!DCUXC#vw|tE+-%!Yjh)sMWDARW9&0sgF}u zd8O&n+2}j#V>_o%wT5A^dLKpjDJVhKLlWMiwH14()E8(km3-my*b9`bB$J6^GJGXk z^;g~uO_s~*%3JWyXbD`I#lK|JXJh|*YwTZd!@m?VZ;$`;9r1rYhksVyDgMJN$;uDY zKi;GK(%G!UJ~*={bWwhTcBO^01?^0W{*Ik$(ciIqE&BWSMMe{Q+rnSfO^|G@$3k1Z zp7yLFZdIq^OxnF9lIr2?u^LY~m_TzQ>Sg#Jaz5W68=%h-_rf4XQa*g2wq*wIH>zz+ zl!;=VP4c;z`7x&=I?-7!c3B~5SdK{1HoX|xNe@Xs1VU)F7Apc0RT#9i!Epd?^9^^zjBVw#HBnBzOhs+Nb*!?5PNaySAi7sJ*{Xb}SV!p? z?GYqrQek(aXv4)2@NGq`Mj^3DJPv*z4VI9zm1k)69)iFmLc8V9pxj6lafZ+Jow=ol zqL=vtw9tU(j6LhT5|D8v?uhWY50E*rEL*G*EDD!9C~}X8a|eVzDpx*>@(o484dQim zUvW%BSvWkFDRXw;7CkxJS#(bEwKfYvVrrw(i&4ym?Upxt`1e9~u+ua8>(S`11ORuDb`uGssDQg`@pv|~1SA=uJ6 z+u1zGVNLAH6njJYUo!SdJ6A({O1n`bJ`YO8-UyS2^&6K3V_#r{0w>B?yi9#AwmtKj z3=6)%rBfS(3$?-wHph~oK9Vd59^|i4JH)O7JS$xMo#%i$PUn<9@pb2f{MAooO zQ)>+0wb6#uDK46e$d_hHuZ})-rShq9L^IrJkK*gWPV49$?D7sanG$x0zfK_Z0mqJF zq7mYyr%SJm2uCl3Ar$OPC65^cIg+A{%^9mX$S8`{;71-_M8z2tb_{;u6$TY;EJ1LK zP6s&FSqiU^_d=`*s*Iu^mYxV6MH@H6gGEZqslvar3~mC~*uMc9xg6^;u|p9D7a)Ko zsP2ThhB3iLNoZWOql>qe!Ni7d+>Gd+SgnYSmUund#MN0Aw7C<%hRyNUXaiXE>n?mM zBpmE2jh=yxkRvpUK1)9bH17Zha{HhB{Z{$c+iAhUB2x4w+$b4-cDF(p9|;NHrU{OQ z;X`_d<{T>2#~Lr>@s`;)0?lYg2@Usk0XV$s_6G~Ihc6DdsE4Oh41&8Fs!=_hF0d%v zkSiaSX*q~x2A+i{)$QJq=%GZ%KD{kFu{EAEubkp^NT*lHhriDm-&eRJY1 zb}eTQU!r}V_B-Q+BwIK|0Y8`g!;4Cr4&Tx4Yzme?Gz&nnxyla4Z$s>N77^^eXd1JXBd(NQgijs>BIU*8uWuUBH;UY+3>0ya(DUFdFU^Xm^$&B0*JZjA%HZZkfGr z_^%#b^U2r0tt5x}&HUpZy!@Vz%O8W5pMUm`eqa8$lUsh}-#>ju{O{MwtI+7b=i zpy9uK?W7m|7PR~3i6>S@zun63{_nqk|EHqgcJpuF`e^k#(Qmi$Z{L33(>F%H-5&h* zwcq@F^xGZ$+jn06!_P#&-5LD$^?&?sx`7g1^4*UwUK}%V^y}J-K6S-MBMU8lS>>&P zHxZa`?xeM=K6~^xqu*HcwX44L%J(W}nBV>S->r%na`Efx_dIcnV$u1xA9)y9NYlqZ zzW3_)N1x%|^#1A@=Xhk-(duXa^dm1gdQ_iF@aQ97{QA#NezNlD;)^cAzkdEi;pNZO zE61aMJ@v$|R~`xfRV)vE5Qj5iGXP~NYXu5Zm)_i28EoG|GKo%O;Ef}&8?eonkXd~T zcK_1}4GQOPP|W@KnJJ|F~29BZ8UUiKbNiBjTGs6HUi>q)ycMXX=zl-LhlzaeqRel2hp>FT2MmCuOnC$t2Zl8enjh$uW)0349-uN-R(ODdTC=jc> z7C({cUrxR^&V0bioc?(!N12ZP&hl{c% zXQ+vlDG?6Z?xM!EvA}(VcSk2Lcui^{i3vjuMtFl7J;Q{w{T%%I*Kwaz{-5B_f54wd zE1N6-h(8Zs@jU5-PFg2yS;d{O_Ic6?&!lz2r&n_)Yq+zB|;QF^HVKb{@ll-3E)EPZ|rhc~Bn!sH6>gw@XzO?XRM zCwwO8gf-8TPMA&Wgu&&k39Ftbo$zd0CtUtKbC%wk)(PtZXKDTOL=)bY+6h~DI9&NW z>4dkZb%J{dcf#W5NhiD`trMOL+~$?flTLUptrPz9c{WA9Q*=T+obW)T2!7>V`t!qo z%Y$W6+poMktq(sFOfKu5CyMmLdLJEq)gtbsi_uB%NqPQW<@t|@=iS0wqf3=A*K&}1 zFZX%3_Mh6JwBKb3!5#mXg~i@Ccb^PgqV$Qak^jG~PbjE9NBDH>^RZ7TwSdxwW0#7q zshq%{NB@3tZcm))@)@IE!tza&q1lyCJn!&EK09~TS1T(LhABTE^@%%mf?^n`41{7 zM&4DlSsvArCUsVMY1k5o={CO&O{!I}7T3p0Onmf;)LGAvKXK#|jVWGEa!A(48H z{~kwNE#NvMFgjJwq2vCkQ2(e~n-TxulV1*C#}szW(v4H%^nd~9DC)GtnL7`(#f#V} zn>u(d$QQXMFIi$c+pb9TB!yq+>B-%DU0fjMV0!}2C8G0%uow3PHX;ou?PB z+ZWxeAtvGnYq)F8Yfj+DVk4$=Le%uYj~9Co6Z6V>QDVuDSxbI#LUM{=&LjEWpdQ@01!st9 zDm#GP$1Zh*=N!j&XY8DH?!ko(~=<9>*H4-~qbNBVn1 z>37Z}{V`0yv~k$E<#wmu_J!2ugIPJ!i^JBGuFaGlSol84RtV$6MCqI*~QX6o>1tDwO2|8t#Mie&HA)FRN zcLC^epZrdb`h;=;^YqF31K~AVIEzj6PF%*6=gjlxdc-ru>P>mxJrB>jXPM`JUPzuR zkBK#=DB_-nVUvq?V;W}iB8#|aX?(f%9}pSA(Qon}-{L>M!+(5F{1F(tKpG1B&m+x2 z9!9%^RW7c86sLDMfoCb>*)+1UhOZWiDEGqJ^Xr8+PV1`Udz^26%j3?pjJi1qbO)p5%C@hv{Xclgu)dS5ow_1c15g| zX(?I}t4Lb%Rm5tImOT}*VxdJtMfm&VL|26WOKxOE_=4nGiG+29ToaL-uF#ZS5wk5# zh$0nRq3Nh1<`go^Y(vQyRfOfBAucwgRA}I^qLY4!+)zdIF)ktrHZh6x2&Xt!j1e^xGT(%m)~pX3eZ_8ETnt+b5-#iM=P6#+wn�+k(Io>cPP9_;M)K=kw~b@GiH z?)W3-?-YocWqUGqcV~4DutaXaY~Y~w9lqr7B3!H^@Y)9SZaMZat2fALQ3kkexV#IZ6!+iaQv1nNl+#HQIH&49f1#hvDb~t6M{hBdD z8eG3@OCkxEXHX}=Ty$do3wJROeREnB$tI|7YlDC*+^ciMJEOv9C(6cb96+kI*dCR+Oy1$8+TjQfqrdHAK`-K ze8jTiH!ar3^`pkDX?pdDAaOxfhrw*N7zvHUWW_&mcfXt&5_8dFaa2z%z|dK88mofG zcgE+S@JAKl&``hDvXeUe^~!3zUs*%{S&RQX@V+0oEEo&{r((^!+zGF;iW@2AcU3%- z5tLP%Hs%oI#zh0={LXyDjH*9re)l=c&QWHDCu~Vbn=ma%EchI<`(Rm|s)S`!RM1J; zHAd187Nu!Tx3AuE`4aZMkul4NI&%7LcM?HD4dk z(=laU9Tkcl? z3@Ya695~hW=yYqu$lYcvT-G7EB^QHBI0WL5I=MVts^hiGm>&(Vn{7$-9Iv}hdZ+^+ zYm44+_|61!0*bV%=1VRS!t`($W4tt3-$`&@loqjdF(i6(R z1~Mv|v0T@TbH+Stn(>4!iJoi5@~Choj}~YCDq}t-lrkDu>N@bd#=L4e@LRSddaeU^MLMu^4{l^WLneEM)=%~6 zT9_*>;>PYq6&EbvSu8ppQ-<@R#9Hw+<8I2T6?aLk*oieeiJ2!c^AIyksTT8*m|c?q zt914FCu62H_4ukSiJq&66RF3pJ-Fl^mvmI;${oz#oPpl7qIYYo(6r}wy0_n&|G6nqUUJlA~aFTJB$lJF`&85P}UyCC*@3UFs64Ji=B1w=H%eLHII5W z8oW)~-K(VVR9M&Ou-<0OoCfPITM|8oRgOB8mWmyIypr#pvSM`u zthNZN=b8C@ocVmnd}O-;TN-eGY0RMp+@IT$kaqJ=82g1T(%y6mgKeZf-kNmJb{TK! zO&GoJ8Vi;cz0D%|;4^3GV=S#A@mt0WX<+@QEr}#p7W1T>YI&?%kdR#b%-kwtZK;R% z)1C8mx-<=kKhb3oB8gtC(+`Pbd3YNxoj^s#0$0lO98X;Hs&Vl=a+A8NL@8cR^NTa#gOtoQhnu!f7HUz2uq}f~?U)jLndvP>Uo-;6iXDm`yU^e8&6`t~frx->ll~Z3b=0?Nl zZ){2Q9HZ^~N;o?$5f%_;FSz40S+AMp1x9hjs$Mybxg2hQ2G{X0fiQrQ>lmylMN~_T z+0$TMY)hi&uwEG)J4OqKd7?gZH)SY?j0Md)Ag{^=h>^QLXXNMN!zqWXy^N%`saNJ%?rsO4*y` zvyL;_uC~gkH|Drqe17ZJh@qM>7A`APTXHBy2Y2}db1}qHs*R?MInogGZAl~%vxv{g z5D%}{El5Z%<_YoGF6=iSn#59G9EXkb58)b3;`oZhs-jC9)|w9*cW`#C!KO&&EwA#X zXidr*;>V5o(RAkhwj_Fv){X;HZWUWU!quSCEp#$iw5pE}`^;}KqMtSvKP#erIWOQp zSRpF>=j+%Cw5mqyQoe_P?xI?lcdP{DsjZ1veGJ3R~F_K6` zaLx#cl%bfiQu!fcRyFv4(3V8c;lF_@2lh5`fPc%`N6Q1=!#d#9fH`GAofOcszQj;} z$XNKSP~X5?8wL0Ig5aLZs=+*`Z#8^Vc3XVVm_H5QAGamZb9`?+NQbVq+M*;YKEmhr zLQP&|od3+Y6SCrb6ZXePQY7;9b9t*N+bTY7%%lePAKH@WIoLZME|qcK936o?C7hwC z7Rd3jm9$!P4&ityFL78|=C>H;|1cImE6h7^d>Q!9Oa7yZp*-`SFXOl*Po1t)wnluz zm_ZHVuiKL7ImBDZUY|U0D@=llVuL9i5uROo3z4%oOzX4^t=YDhPiY$j=Cic z)_~6#cTH9exDDs^MY4&*wxV0YqC={A5lOP8YQqLy8~)6gUrif6ZA&7l4Hh{`nbzd3 zLlz_?7jLjF!4EcxiTi#p+$J%btAEwdW#!G$hOxD47skD&9!R}(;2mij##R}BRnxuY zg2V+ZKEFKLn{?nT-xf(1HW$5un^@7z)sRiapt1Prrb6rV&gIb_B<$4}S6YHeoW(;- zMsC2`v|UFx8S|t;(q~IT4#evj)rGD(-*(cYq5@P6MQ83Hr>}1%o1+~gH)1SecI0p+ zhvZQdeT6(K$ffM$IAP3_hTKtG5Zf#nn$8*MPX%N26mPBR1)*RS{i^Iv} zL3X8b5l6jp3tX>FTe9dqge0OD;|kEj@38iK(zuVaYR@A=dxAbn7HW^IA9c z$X&bcL2*=VxJBkbyNYBl?j|Cujr;D?W|wTQuwHFm*P}I0=lUGqkr8m7_lR@4l}K=& zHru2WL~Sr;PgAh9wj`v2%>%9VY%?&TI0-ai6w9cH^2>ExIpv(Fmwg}hB0O0I;{A1KfE{mqgR0*prF+?F{W1veU+WkrlG-*p?me%#*lFlQr{111;xIs= z1{XWpQ%2y!#)4)=U|p^Sekd>=@}msmWod)>r;T~hI{hbYNytI`V~pEE2fH>MB$8lRm`iDKd7N61 zkX-c2E4wBNZc{LT3>h5Ru8!Eetyz;UUEeD|`jpLSVGR^oUaa5W$6$W&Nald6X z4Y%i%qo@hf&{FVv$_?Zbt~QBBmR^Xb7?0&?mi{_pmNlrawIv~k?bWs!tCq zRn0+lMK|qYg&r>7cwrC}S_HFF!h17)nHBL7tb}Mae}Zn_`YqO1hsg=2z2(X~@x^F#jJm?I5}Kd~ht$J!q;nhU+++{TBB z(T0DOId#Yr!h|&a{q2iA~SN< z=4>NQY(d-;buk4|HmMJ_)D{evvteNtc$!t~Y@)MTLcYY^P>CUyQfP6NF*h1emkSaX z(Ao_tvkC4U5XVRRdyogI&eZCY6!lCTRuhY~8Nbc2?KSSGtfOoQ0rqHi#B~KM50W9F zI9<=)S%(|s7wJW+FED0R!}M-j5_0g}$!f9CX7j~ez(-D{fWwnSgmr{UeH(SZO#X&& zrcWSWQ7__t@q_gy4!?E!4&t7kG7_XXSGDF-37Ov?_py8U9ag9b<1WssP!D%esIZHo zYUr?wM3n`)Omq<)vWPCiAEJlohS;EoWPpeiFU9H?jYZNF&$T6yRJ^(U>{Rz!y6SAw zEJ#Q$dgL`+c51q==1iUAV-;-ANP2qRTCwWA-MEvpsvZskj`NqV2mD2gyme{CV$T|L zq-oBZZAtVTv#m$#O|g4szs%ahG~q^?*u>Pm8Kd^A#sX$VZCh><9P*kysw-d)71&Zr zt$xXvB@MQZ*^=lvY*!y_H{njm%f#)4lDa=GcAEa?8~LUT{$*hT?v~cjTpN zm@5#k&3{fxPrkr9vvgyx)(ay!T7%Oq@M8FLzwjE5j#r6w3zqKj75u!1t*lEsV|B5y zFq)n%5+p9*a^td7NDm!7c4*{OcW)v(w0OLaEq0YTuiaSwjd$7=+Rso zpTa42%|eM>)v2;K9aGTC&qnF8FBpTDu8t&oYP#%WY3Z`h8-G>Py8kXnTtJU*-LT_} z<2rE%xrnyLy0oJ|=JEa=V^K49aA!S^t6+}8_^%x6>(fHK|J#@qt=Ipq)Vzc-$Z<_X{poZ3Ym`<4-ra(Im`70uN5*oUA&N@B>&yyA_zRBD!DW2bcW4<*l8MYu0 z-Si<5U(5a)V_!AyfUMZ}=jtRup33KaN~Lr|S*dPVpBD2j8?&gvJZ?)O3A2T>CH*y? zzb!~eEb+)%0rCd0R6gpD^x-tcW-&BCg~&Dp!*B zdPABs_AADmX%PLQEeSbtl@Yzoj-BkaI#J? z`H%rwvbk68^x7Opufa`z0>uWg?oJzUml(66b@)ZLB;EEgv{Q5kduSBciKDw#m-I_=(yS+B|`qUg#I zV}(h#MmV_L_W2`6L{0H0pE@E>XolHWvPdapm7-it;NP(a}FAn_t%^Bl28Vj5i z<7-7eHRL!iIHtn@6^<1+Q`~`Pj9Js*e61~sp2N9$uj`|Xk_wG!EMq0?j6AeIj$xNJ z4BSVJMav4@7Mykt-txp7jYaU5_os@|n^>HdX8VXSKN?yewk6SXwASy#n%8$w(V31^ z%5z5PbH*ZNMQHa%JFWjd{@!`U_hUJxAyULP!9FVI&-qLp543Q{ghk z7p77i4wIZ6v%bVwe$QC=tXS?4SPCdH&_tTM9CA-15F?SfR}5xK72&sy8Pov&rY(t{ z1H1zehI=v;iz%R{98_@IZ^Hk{{1!ue-Ij$}n`zEzr%&;CM6@%ostmTuzk+c}f#J2r z9BLR}ZA+r(81D`%MX|viW%N|q>+}KKdb8ysqf6!&p$0(iR%d)XLsrXcCiWXx(qQ}# z8Fx+AA%1IAS1M(rs}5N-G4v^l5{iZc8X=lG<))n5bN+@?2Sz}{jkSXRI`<2D1q8K)RiT-%frTi$5Qjt12;wj_EERn`zr zXRd|}+sBQC%nDoL`q9N{r(Jy1`0E-G_G2I7l*l(78F9v&^-0GSN9MU>b&74AFP;;_V$--{sEO(L>nBNE-63NEES7YErgA{H;pa2E{0-BR%EP#OsXN z)JFQXwj_EE`yJujpusP^udMjr79%6|U_K(O2uF;&C+j>w7f`Xw7FP)3E1yjx*64ft z4;k~TX~aQW5=o7)O!sleb6U!RgydqMZO|u3I==D3CLK563!U-Xf(_E;8k`?G;BF*z?BlxL>DGv0 z`joM7Sz)>iXVfuwwB0>&!IhemOVdua_+4X$G{An#mPBU2tV_I9%QTr{nL23=7^$xr zOO+L=#M=4NwB+4C8Gl`a<*R~3SBurP_QWJ7?*T15Ob+0QA+;y1;$KiDs;Ck38_Lo0&m^EX5A;` zs%31xPu7oh^v4X;gt0(bfm)v{Bso&xNy)wzjakv)acxQT9G)#l>BJBCA@IEsTO`+; z&Pa%lt8R@Ls*bU6S)sZtI(7&3Z_Hg{Yxt#yQ&Oo<8#AN<_G()aJqN5`07k`DA~TK+ zW3fZ_4~aXjCTS-}97BWm7}lRN?t-ka_A{)C4B_rTk#NHq2RK}XMNmd&N}lv*j9Jux z{wZ4$nSr);I=37+>op5y%7;_9??khna*$cKMvUQK8cUZI!^?12LcpDf+adYQ+$o5q zBuD?;m>~_ZKM^Fl`lH?Vp4&R4cZWD&r+HdsuG4q?$VflgP=qv{gE$TF4BeJcOF2;G z{75mT|7qNXSux!cVVYj1E5h_x6hcfy>q*RfB&G^`S_$vJ8*{Az|F5&`+i z=7L@J1r^oJeSN8&d{GjRKD5gP#}_)s=6TY6`a;ET`e z3rm_+Xs>ZcW;HPnNEJ$Y;d!j@WIrgXljm;WGuV`Fh-p;HF7X!_OQC7h-L@opu2FlX zMsXfUZqVs66FFQ;AiFrOM+-rawP(V()3R#Mu+$#T4=Ke1>GKj-11U1clqO{@UNmN2 zQySNn#D!Fvmw+nVA2Ib(6N!cCXBF~4v|sGJz}MB)qzx=NEG8!-!z z5@79=DWoba?DA-Onbo5Tpx*l)V9Y3z+h z>Jy?=uj{7SzmD?Q|6!~t>EnPzOwD6|IW3R<4dbtBD*kmr;sUP1=k3)_Y6~_uTP|Oi zHIdfMokS9DN!r?Xqw&|Z?p|k0LXM)z0W9j)~-T_#^lJUB=93RPxSJ-qENe zrmHkrNAfO9>V&Ny}M3 zX3UR<*7wESI&J5}rljYZMa>j!K} z^jy6*KV0^4EIl$P&OX{$g}WKFY+jc(4D<($Mav5GmfUp6TfQK8OZekU4yP=we%zQJ z4XyXvl1QRu;lxTmm>nhy5|WF5wsqSAKlsfT)(`H-EmO1&(s>B??_h`LQJ0SB_51;+ zt{m9wmM7!RL*<_$@A%8c$fYYI37+a5|67`O{6*uhYAW{yLBhg2woVpqy&tD7HXBtJ z9W0U!E^g~?mE6Q>-QAn<@W14Wg>jU%9>SoDng4>Tz5mEaI&862u;q~WpMm?;g9YivnK zTX>})vEZwj^~27X*TN2M$88{`4T}{=Eaf>v^?qm*RYea75q z811(uk;KSi%9FDuk6a59l8gV%gMXoOzBdj#xQ?T620d69MNNnefxrEg=P5YFYGMjiiV!)+8wurAtw{v&KwnD%Z9p(Q~jd z?EU(9%PCL>p*#*yHM5X>&d~jcu}E2=BeOu?%qu)82&Lph-)+o`hR}1iBzlg}w!>bt zhSQ6M?^8ow2c?W2s)dv3@;TZuV!v%HVpha1&z)f&dC?lVN0Ut z$o1_nkB{S0Ae;je^pC*sD3Ul{6MJ5LDyyQMqVXYj!(6ZJkS{T+|6nYBR#bQ7iXs1b z72iq0e?Hphs+!M~b?)CAGpIrQWm^(Ghj=}?!;^KyCDJddNO{h%t-Z2W%aIMj0Tw)k z#iuGlDS5$F#=K|y1`;5WL-jPB6WD5c^M{?j6@{H@#(<^kCdr!`cDi^8%v$9M`k=hW;EeHCHBBoC z5*A@6+c?KMPX19Y!xg<8w+#AY9{kT3i<+^6aZi*u;#8D;xY&Q?De;WuY0-?=8ndGH z`fF@S$dUCb25zC(sO$J1f~s@Sb6agx!6o3)9y2^2F%~F0JbaHpH9sD56nVbO(=xXo zHfBYG=cjE+WQNB&XnV!pcDX7_e0lT?D7n5kRCBgu)IMu0XI9j%$c+Vj;(Q(&Q%V9( zPM^!ua=CwD%#?=Tp9&He(5S6G>WU-o(kxoy8Tb4*jfKqG^K0PC5HCT$$2vRBn*G1V zoM_$sZ?+`laQPQTY@w~$)gy)AoLHr>inc`+a7S=65n7+GF(Y^NRSUDe&}RD1H90@z zRv9gHx>dlfV)rgdvwT+=v!+40)s{pON(--1I-Wd!El5Z%=9wO??eFGcXI~J}EAV3H z6nPBs(wX!&tUt$%dpPUJ--7U77};aqG;by)P;|tYA5Ccv2@)63++O!k*>7X#@e{Pw z1)&~Xgy?w#31H%wWP61ndZ}@jWQFLu+?3>8)RBw1F^-yQvQzK2s2TI8L3YNLgdAZd zMtz}8c8>2doOWkK&A8HE0%_{6gio634Mz5@#$snjmTxd5zA0v)@Ezf-I88Xe0)-l+y0F2Fm7Kp?v$*!-5}z}1-IGCN4yLCx|{#hgU-HU%%KL`-`bLp z!}EVK@(XSLukC`b+^ZPJHbZ;Hbj`j}XAYG$SL$hLHybmh z0hhNW(R1ML8KK)$Jmm?2ZyKJTvL%tk)54_7S%J-o1qsPTuV#fS5$@+2KicIau8X79{QzBnkyzu;-IUd7 z(KWqVM_idBj)YYpPAQ5cqFs~$h%Mz)YEHgus|E5di*E@MU1x*^ubW@JzwF~)cwFY@ zP9%dZiD%sNxt{g>8WiNIyePwVXdy`{WS_PLD?7<;`;#Qs!tdj9FIYPA5I_lPD#6Q@A z9XJb%FzGos?;007)g}h;esDA118wml%4$;YL0EzMAs$9$W3@@252?#iOO@8Al`4%J ze^nbY1wo>#fm--e9IqL!ImfZ@aH{N0)4Y)cE$)xZ+nT%oDdUdF*!>-HNAk2!lK7?B z!wZxwuep~i(yZDK8FQvV^n)gStguk+pWrC;;1xe> zMOtyvr;S!C8&np-da>`;8gZz#O(EAqV@twj|_WXO;Rd zIoPj~%Np0&TW%J`R=xu>p7Rhq+V~`NMY1jS??o+Hx6T@OR#x3Yb#t%)LzV3q7{#7F zZ^lE>57<!5oM;dBEOJ5J%K`m!jN8BohdpYO4-qBTXcmfh$Ej8>HigDPBr9z(UwHdksko2*#8Op5ZXl?{2RbL09V2<7o4c-E{?m| ztBm@WjXNSM>NwmYkc8F?BE*KHuCP z!m%JBxtM2tV7r;{@O`*0txV?tgmCR)b@Mr~Jks*K23&PicKQW08ww{S>{yOo4W7mI zazQDx+HStKR|}KFIh-LQ`a!B~u&GhpjO+*9fCaAThG@dVX6NY5;F)U4Qc4dt7z?2( z^;%mJJy)mxNGJA20e1E9&2B}A2Jf*d>@n_wtQM?4MHST3GSg}jR~$~sDBf<&q6YM> zwj};P0XpHT1h~hoLK@Ir-eaIgjl1A{fKE6l0q*LEPPt#}v@wes&@Z+n(Q}};KXRWK z%6kxU=G2)s#N!BOd4ZvQm9fxSq1~Q4J0a#XM5P7O(nyEXoQmmk{YLv&81trK`u(;f zdXDK@X@+rPt)JL@r#)q~e$rT+tZ1#n?bj2C2hy<-iQ^Dg9A2Sg^JB)GXxRLyEr}#H z7CxPH3ppQaK|*rzlJf~(BW?feg-zS<=A}%z=-~pcAW?FnS*{hz4LFn(JFVBq8I3MI z={vD+xIboKD%+w&{NEa*n68r438{&ACoK{GKaIbtso!4<5*IK4b?YH2mMyjmVXA6h zJ-XJJqEGwk&8Ao7?YQA-_K9499SOD_7jIt}$6W)evpZLol8Jm&A(AX81dAk#oOUHg zxiT%t^u6;(_}jK5mE6G9!nKr0c;{>W^IkAf*tpUThqh~N~M6N;NG|5~=ap09{ ziT>-1nbC&fwYDTOgJhkyyX;hb+HDrak$MhnAXW0}=kaxI#dsYtmM^1y>}<`om_IS( z8U-9t67Z*hmU0~CA!Cj-&<+X`7tnTIc?ugLqTm~jDyHORIv#U3Wl(CyU62)&tHd@s zxigYEO+_Zn>YXuWOv9#ROF|APkKtWttGD%GY*?nrFRbC9F-2RHV!lPEdou>_Eye<7 z1#eq!nmNpe^%gX$1c&O7O0$G-G-gTz?ipJWJqPaa{<1q!$E9-RC&Zw0#HFnsu!|fR zo-U}^vp&|MZ85M#s7(*OO4^wyyvl?_v!Ik&Jw9&Sjak*>2nwvDeh@~N`vDpf_Cucg zf%e>SKd@~M`vEPZeu!yQikbeXu^gI4eZ-bTQll)EM{n9-vCdbF`O$RdZ*58R9Ibu#d3DqPH<5W)qEVQW3vU zK2vVxt2iD#p$O?s7};IMf@K}!n{za>MKy-XnF3Wx>gr}=b~LE+wj?q`WxwRw>*8h! zcoF12D0^+=}(U$V;lnQDR=!7#)4+;`gI60Mf}i|D3b^1^0c+ov@tJQr?+fL$dU3=#%-b3 zQbE-)9P%RhE^%;@4;h>H7z>jXo3NyqxY40WsUv!qF)JE0@31A&b7)rZjT|~G>H~)4 zw~U3z3dzdg&J7)ol%>XR7_*_l@oTmul5kk86Xa5Zjidz$$wiNr8taZ@#%MY%uTZL$ zU)oM?71kfKg8aL2w`Nt4^*KJYLE%VoJW?|3|7y&NrX*jpC6R>30%55nocOUIA-VY6 zwWi*F&=K7y~pmTKPK@U?Mg3y#8nEPhpxtsDZKW5wo89TmnRc>72G~e~c;MHj!)L~<` zG-U3#B_Rjf0S0%WJ*X@9;c}OH6(_n;WYYFSn<(*%an z4PKoVmu?udr9n7pOQPoxZae7}+DKWVSb-Hg-NJR|Xvg5a-B`q|;9ZWont;aya7qGv zb=oG~XN`H%kbAQ&iJl{OS>O)gW?WH&k~%YWy0&7}e$`mKtf*}bog?Cp_SHuGMLyE% zv@6zs$(SPzvya)5$c&kFaAu3R+Oz7;z>&oPf(5UEdX`$;o9J|F#E^Z-Sh}o`U6z}q zi$?`_d6hc_v6RT?-xxEbA@)B6i3{j_+`tth`6<3$9H)127+eH7-2%3-h=0fDu&ggJ zPK&Saktf)>0ejl1-X-83$I3DHyb(zLa38U9<+&5WA+2)+oue4IG)!0Oo67RXem>~_UoGpnYSQZOExpw5SZb3qFF^@ZI zZJjB7=|~&sC??wJJ9^|qyn?ece{aweyqJhU(a+5Qdf4=_6cM+bpDn{qiaY$$veM^A zijjSpaSvui_U_y`&H>9qQc9JOq~&}0MWfeM|Zk|=RufvZ{^>2=}G+oD&EJ0J@~ zl2!LZ#+{#4br0lOsToi+e>keGLB0lMF=2>z@hf{W?ebAVFO@n`2kmzc= z7XJ8ztA$1Y{wb{3D4R|;3x^P))T`O9CQA6`Ys@Hq+PE9CqIeCX$lMCg65P^}NjL*t zaI4~z=3V}wF>4w^zi&%I+L+&AkQds!+`Sj|XyU-Eatl+@gon;)4mjiGCiWO>W8K3^ z5qjy2B@G7t8^&Fe75Lq`u|T#wDm_Bka0muO!`64??$yB@i563b6#w<>#tduf@Xxj+ zdae%F94u1+G!8tfbfeyhT?;pFYle8+4ZT`GI=OM;H-RRuij4S;p_!8I++xg|hUP|F z66cTRvlm~q=py=GWhatJ{jZokH``ZnFTLoZ()P+2{&;M*;^B`@zj7rM+3LN?Njxf2 zkI&Nv?=jT(8uvxk(R^dhmzP431=mKflpzLsN@?U>#$0Nk-(gE43A%;LC%s0V`7KCD zE_exQK|*rD88-_Ol8YN`!!N`IlBjQ6j4`mi+ZgCJXY>#s2Wsx~0LUy$gE!NNPC>!PDj!gD@ibCdp|%YD|Rf5 zo3Bk>oy%cana6y{V|ehBYGPB|`>n=2Y5KF-mW0%wULgkyTWKQ<=Q-h-R}LSHAM-9c z+q$=7t6W6YC=+#XvJJx8wZq=)O2AKpe>IuQ9HkaR+3@wI8J{p#)-sEVdp&0`+83KafCyIVI;lX3U}n^QbL} zp2K|8gR~Dz4$i=?27?s2o+=g*obpZ}ZS*FC{aWL0$O`sNxi-lm2XG)qcne2f6+?kL zB~$krVExo>|W@0y`KWBXxanX_W+U}_C{ z)&ce>is}TLlD_z9W6m@{e^QX>x^i6b)ax}Tnsv;V;s}2DJfZZ_Fpb;Xd0R6=e`?$h z*%5*tPyC8hljJu-D~3>-6aB}=ylEKyfh`F+=zhIHD8l^mE#kshzS6=gm++@HL9rTM5_4r^;+1BwrTZrVHd*2o$x(?=r4+AYb zd2~eNqvQQ8f97t!u4mo6JlCA`MJh=hh|AIj;P8&0#sYlC}M9+cQ zHr#I2slu$_6wBk|9&Ms1r{wwPXvc89$5_Oya9y5rLmu-<9u?$L4kvw=F;5zD@31A& zbL7^X^cq#S;5oRW1jW+{o11vZ82y&9Fj+Ce&Tr->UvE+=w>llJ)K8854P!<$V1CV( zMDKy&l|KzE3e6>eNjzj=zG^H?c3^n@PD4m=ql}nUIxt@`W<&$#Z*58R9GII&TqHkRIi{$6?cx8!i}80y(jWSNIV7c|K6H!<$ zq)5V$h6X)rMw%U1qbtJA#@uR(kQXGnt_Bx;4f4Vf1XSs`uRb3qUZF6x-b4v+l!B(= z-XEq#o!I!te8%cMnq!y+A57zuPHg_QThbU)Q*cMa4%E2XJHQR3+gO;v= zBy(yt+fjTf07+J}ebV@=n$7xzAaUU)u1)*kzwus*;RXyg3I~(N0;M zT$sfVbw#QbIGtt%t}y);gcEBbgyr+i9h0De~+<<>BC;@*v{%`f)|`b z!#%Y~Z;vq>T2J3@OF|C!TN$iwb*#4Karr|yFt~~Gvlhy^>97JZ3kJt6l)}N$z=jHU zA~6IyhVL?{W5!*P6;#{+8_E)%O%DFU!xutX@{ueG>M8r6MveK@P(N);A~WjNae~c! zF;W0|s)g%xX~QtS##pwjFmA!YvvhAOBKCB4#&~Fb6}VC=Azx+8j|SH(1c|QZaKTse zT&XPfXuK6dIc(owW)sS@$ zfLPBZH!6EzTpaB%*$|N^-anM^6ii-ZWA;>5ft%HlTCvED50vO_4~$5X=we9EeUC1f0F@U=-}7gC+IW-x8K?0 z9B-m%!fnn_&Id;Wjo>68M1cE_9~tQ~rocvo89?7^6at?*~U&c&o3h@uNBzmq8cM63V z>)+!H7ex`x$#QYRbELTwC&A6H4d+3JRbkV>!YmrJiL`S&tHM~`6%yu~B%!*o5hwj; z(}eZLJZhS-#+F3SH6brFp&&Kki0k`x0sp+V!0=s0{0`%;$U68381X`gc$Fj(yRGP) zp?L@VZezwYn0MNe=sC<+3z&<5`GkvThls2-yjr2mC*8#7^Z6Pxkf)7>%?jjI3?%NI zB3^~V#k}H&W=o&DUu?{YhTKE8BzlhA9)X+(}$axCPfo`jPE^?|suIp_mTeco%#w5C2kY)hi&>cf_Of@b@0QI1t! z)5FpZO60~hV!p-<^6wc7n-%0>8koS~=Kun&=!n<6;8jEJw~aZ`ko%-9i6n9saW)yM z<7K}E3CYF#db5y3s=RP!qFHZa%Bhx7PADpd;%d{S4QtDP8h3D3ZJ~5}$Qw?whiOQPpE?mk#=B2OaLVO|xm;Z`2n*NOZWl0h>Ro5LUe#ImuKC)wEZ4`tI7;2vWZH3isXOQPor zaP3HayoH+xJpphH7yhA6yIjKoYSn65hCM@j2DWG{a#mos<7`0YSpdg8=i@wUAiBov zXdpgrOCkxP#f&Q_ZO*Y+kdR!w(l%ZgJFcw> zGi))hq0)?UYwtFOGhIQcH|EQ&J!kwaP5a&^NLCrdX1pSI}uV+NK^I)zJ>zg2M5GC=%9X8xG z;!)T&YFwDy579O9hCt0~{i3l1n%?|^t=`z?_6~^9fs3`@!%euy&P=`Cbn4T!IXBRX zE!N>Z64*b~h>hCL0?}l(_-o@%&8ilAIb7i8r%CcWNuGz~b8fK}JF)qa2_d(p1D`Wy zSJQ#d+LDlS#$T`+Ep*0^L;I85Xqy-7d#jNduH3&q% z>%s=2`%Zb{hPDaE$9XG7TwTkD0V2?M#^;N<>Es(XetU7{y2C6_Tva?sLJPg)G@=Z!ltE3o&dm)JzI3Y4jWpJYXlo@EtVH$qYKLR1y|H1z+wG2#e=rfQNo&A>UUc)qIOm#i{6FP=37lM2m3PR} z=}yw!>Fg{fl@x&vq|(`eASP`(!9X^Xun2~p>Z;e>^-^6`){=BHFe)l^TjipE}Y$^NSFDk!4$j&OL+RL9oXh{?KIi8wUN8D4}DLRY*7`r_DXR|vKrp6Xf)>cpdy~$91Ok0?sP~r#` z!40ir7u@)usdN0|N3>Z{p!u*ViO`{0LI*G;viZElE0-(FN&FRW=815D z;jX(*>~PltF?Nj_OSEfrb_G^p`3i=8XJr`c^mUWdQzIE`hOwksdV^QXwZElU_EJHj z;o#NekCiOig$)w<62dv3d%yw(?@hik-#S<>YdQT@fC4it4v% z^Ps5y0#g!Rao)n{P4+;=8I{SJZY*NQeiriSc4Ajcq=0c>ti{Qzk++l^ga_dqL1NOYlMTDwB`N3(V_hmvqex&gQh{dl zcwq993~lf((1bVUzxNf=S%1A_M1d=)bF|e`zk*UwbT&rCQXAU2@5+UVIw4mK8@*}r zu2hkWCW5jgmr|2$)MikDew`_aTIdZb0IEY!df#?pOK%URDnyjq4dd*>?XePa7w);^ z#JT-grQj!P)cFbAIb60s#g~8K%L9D*thm%S8PZAJg738CEpbwH!YZ?s#8Iy%gX}1Zt3c#WuLbwusL%1J`RaAdBtaR!F=`kZ9=EO@5nqR*%)6 z%Fu>4no6K}Lg;>?BZ_^|Vl&j$yg#;JrThIr=)B14d9Sv5g5q;F!rihIycz;hpc`5& zP(3WA5Stx^6jJ9NZ12(LOM&g3rX;Szi>#fy1&PToQqe=eRUEK`?MpNygpQn3621F-^)*s52SuPt}l z@flO546d;Ia5;?ZWDf+*6nl{3tNbWbeq~MnN?Wj?nx4rU#o}sx_H*rTD$4w+DG9G& z{Fw0wN9%ocwT@p|>+?7G{ryR6_8qD9K2_^;wZExoz15V&3DSC^uGaA@YyBK;_BCxi zp=y1j_BR!+uQMfag0!Bjt9AU!TE9}8eNC+=RjpsH{Y^#dmza_`L0Y%!Y8}6_)?cp8 zzNXeKRqNMie^b%=h$)F$t$W?e@#|LR!kOJyN~f)2FLg?!7P-yVr)7KWgynyoe=wUq zO8zx^V?}Je@d8Uw#zH)PT25EsjXJz1A8`k8UPHcS7|NLtCAPMEwP6ctZO=!{Ga;u4 zO%2h!kQ0=t$Qe79Dh@V^E9Cj)|ESHVVxsRABu-#gYDIS%lXi4k*il-1-Y>fI0`iLV zeitvu3yj;>wAB$5w`er(aoqqjwFddBHa`kHUos`(71=K^!jtV8E|dQFYU&A#STLoW z=pCcifjtK`%jw2_nh|_jTil=sE|vZ}^>~TfSScrZ!7jH_^IqBdtu`wPc)v0w5juF> zZ5qd|KY3$VZvFIVD!EQAFN?H4sHl9tDT&ZkzF3r(#Hxr4h*iJ!YWNhFj|;TL3tB!F zbNNV&-{@@7=0QQ}98(gZqqJP0l&nPw(=PSH;0Jh~k&A1K92B|bj9jt?xjIqny~^z> zZEh3{uQVkQI)+@ijnkuejW+v1@u13Wy;`|lr~N@ie zN8C_}yj*|3f1zo$3EN-6atOB3&71t)u7BtC5?|xXH~8{RzWk@S)VEPmNWeuD8?-;k zcG!3k#acn}1P&`L+J|*eM^n}@nza>im?ISS#XpqP=pk18W!hQ@sCca9M@W0Y9nH;h zlxV@7EY3UeW#-|KHV=}-o(hQ<8c31_o+~Q{5+6LDy(Y7Zjug zQ8z%)ms`;2d=NSqtjc$VD0XBpT8V6evG+$o3?;K zK{`1~r`r&RVxuc{%ZbA@I8@5go!VR|NZoEqB6Oq{0h}SMl9Y!!BnIP|jFt8;$#oh% z#3+4ETezSoEsg>hkGoifI|ZW$w0Tf4y5E#U=oqzb7mHdWd^nT82-VzUM1GD`F zfCw$HrNwzTOi3*)PiTKy0pf8}5}^ap?CzTMW8nSF>YuYYB+tuf;f-Ll(_AS6E!tmI zG~Z-OB6Q8K=&|BSIzh#^T(uDCEFw6Am;iBz4r=Trh^U1qup8M-=C&5=RKGCOJ~7vy%4L6-4r;Btl1|Z4U*|E7sir<<#C} zH15zACMX*1Q4!+K<3_>aHtlaKSiISkMCe$|--nTwd?c66mD2IN0HwzLt@{L{@@Z|c zf}*k@nkBwsk}tFw!#G4$f#y@%3@Ffi+>}J<(46X4T!qrW0G+KPmTvKYncoE)^GSy4 zN7`Zrh3d3Qbyme^j0R?68#bztJ*Lfw0@?RXNrVnr>;Alz#|o?z_7c`^$*;M`ur!|& zmb2W39r@L~C}n4c_NNsfrkaun9f;kBvbj{EK=I0;1UkeOtEy6zr~ca(9KQ#*na*d# zy2#2wOcdlSn=2xm+0|m9Bn^V9C$vv4X*Pq^+KLQXI(J8lLK9fXAT)s>C|I$TD#)#( zIESaA2;RPg02^XZs9F&;-dcV9yXQHs(q>#SqBBfMgl;~G}30!+;1O#$c@ zZ59-O-e^i9bbwax7%n2*r-c(LN(HOGl*TUJY#Pzfv4Jw18NknZi-xbQ49-yZ7bm?} z8O~2?Dzup}{-1Uq>l30g)L1kn{dK@^Zbrp=fF@<&Wbgbwl+?i{kygb?Q$ zKKP-KNLh&CD}v|M)|?TFsc}hapC9sx5Ml#(R9i_w4PcAxYDy_%*^KaYaL|d6QaD4k zwJ`oIl8r+S=M*9>;i&LE5b?Vo;Dyi57`R>S)&1wQ334rOk!{)=pCr zp@X$#N1=cTGO=N^>QJUVyZu--evF~YX$u$>s*|IZ%V7-hv_yP(fm>QdYDk+41u5H< zMCeGJ-ktFc7j+FGxJ_m3$lVg>o9qkr3L{w77Cb0|E2HsD%s0MM&3Vk_T&W~)*5*h- z^Yx}ALPzt=?#NCWx}~yLC`RHrr~!R&3Qi;<6}h8?{$d#TEynbt+TsVrv@;ry^?Urs zT>dF65%FIc+*1qbecDVZuztvtMChGJcE_T5fN(3ilmA)hy{L& zF`RNSBna(K46;i!uALRGpP#&zU0PEm3~Pltk#D2G~jBYZe1M&p@6Y8ju=0 zPrTm#a&2~$lDX8BMCc%P>>t6PYX(zim^wfZl-l!M>fC3LUZgEj&>C}IG$(k%Bvyqd zsZkG<9onB)KzX4liO@k=dN^H`pzI;5dM1ODi6a$pj7B473OQLcJRpR9Fr@)lb zW0E~+hPRY2alupI{E=Z6U7`!)V3mp`^Wl>qI zXlYtLmWVOOv1~qO3yu{GU#HEBg5hgTNraB!=?yVlEe^bjN33GPk7BS_7{`Co7Cb19 zkp?)@xmfWSF|7dkL2YIfAm49FB6J|P;drv#NW>bBQ}hYml(TCnm(9~LC>RpMIg`U; zF5@UR#h`d%69_G~rYKs8BXO*}@`F5aa%=$K(pFed1L&qh?Q$bH(2gY*Qy3{%Vp??y ziN%jBam&Bv+?6diCytEkw; zQR~v@X@6hAV~N_Dx%$aTqyM0d8g zE16An$z9KTvsn7vMeDyeY+RGdjb!@Db~~tD^r6RF<-ThvKPh`~MYS-9e0~H!+WdeQ z#$wW-TRE@<1WIYsomZn#vieggcn5&{#A87~=vW94N5o<{J z-?dMx73lriLMRpJCrn9%Zff)QCv3 z;9XYf%sb*c%6QjRc-}H)%1Kk`AG6k^&6)!2G*c3_!0NPt%tgJJ58Ev{e-p>gQwX zcBGCQ2vITQ&7zVkPPV|JiYA*yRU7InwHZ~+;&M|Gp_|3ZDqCL4j$( zb{d{_P>a;RX@6DG{O3$bgs%C{3#rS8F0&jp5<^8i*(867rw1%d*ZYwP{u(3qOKk-N zMQ&AefF*F-M3z7_dUCMDl|ZR1pVH<^LG~x6Btl2_`~%jpJWjPoD@RdD`%`>S2iAus ztR$Uq7^l^Revl*XB3hq2J0VJp|Geji)opq{s#GbbIMYMQNy~v*&KQmHy2c?*q48qj zc5Ox#lbB;lB6O43H35@YjZtJ6P0}jHQ?;Q6Cy_3j%VupA2CXi3O~hO<)|#i~k*orx zI@zGjwPHJKO-Y1qJ1>w81rK{outu3EF}9K`w3QXqO18RXpm1c~xxVkSU4( zA8q6Bw3QXqHhkw7c^$96)&8IY@USU~&;dSqAIFz*N4#-RUmO7hl*P4UJjX@$?b;#+ zh2@l}+!_QP#prhxk4jDbR&6#Euwu~yHr~hI`C~!8_$E< zA5`GmZ%QI`_@eucWf0UQi2*VAM)l_g{a#U^H@Hf@T3hU(P@Nvl9?Kv!OHu^!Z!poP zLU~M^AqC2!DT&abT-BZAWnK9^pmgWRM7vqcBUCfBnmF(`Qp))O)p(C#y-QmKL18^B z8W%FeERq4uWIR3MMzVBephJssV6h7B-)pm_fP1Sci4eh+t68TX!l1PuIR1$-`HbM) zK8_Wdt6o{Yw%lpQX$@@COEIr|)q4LbRQJc~L2Y-*=7WYBaHeBX{U9$mweQAyC|)f3 z+heE8)i{ztu`;(M(qGCX$gT4WRP}qcR5}Y@f?C@ADD|MAoY?wUg&AoNUd#P2hT5oF zA^J&E5`S@%dS;SLYU&Gg9czihx4?i{!CYlfD}Lb`lw?oOp!lUQ42pceI&rdpZwkM+ z#`wQYN&LkvXq`ZQ;+4{QlW9S3{L@NVB}w-5EQntU%Yrtk&Dt7M;XMmF+mys#+=2!t z$%1mG8mLzX{q`qkNDGqe=~)oJ6qW^TRxQXf72dO;K2s8ZaSM9uBw5gVOf^u?g7V8d zr3Fd$^el*93d@4dQ7z~WQ{g=ey3LftU)+Koo+JzUzNrT4SIUUz{0L* zj0gMsK87^7pVYcl*ToLnPr@1PEE_uGF~rpqvQeB!1V$w{Sr4|JQLKSO?tmA~8Xdx^OLaD->AlJbUZSmtpa{mI1y_>FW;KdWP#N~3-B8$) zTWoNI%K>f96qNUwk_a8;mL0=ZK9RzXRDS`h`knC^(H0>nKC`eQ+T}qhVn?+T6QKxi4EZaZ8Zfog!4T^SdTs3Bxa1njL`&>*b`0_Z$->; zLJHik&8K1!pD-m6x<#z5Si}ZY1k_rw9f(svDcCaFTDQ5X)86X8&e%Vpt&pJDul2Cs z5EIQWBTmgOwX~wim7YX{X7_Pz<`lqxU`nDEaGma)@kfNae4@Ok<>(i^FIBi?CWeuoa zr;gLM1|MUEJYV~>ve0a*kT}nfgwv8nboySLE;=O9*(@kcItC`LS9Kw9ObD=gliIoo zis}S>HxK=|HhT*CSDBJHj2Br+A;CT&kIRSugeb9$quOc;Y6z3zyLlGz8f`umi@45| zMCcZw?|k{pK>u~d{(agC35vb3@8$u1k2Z4(;O{miQ46@|c#ZE|FcMuSOXEaaP5QZolt5X=-;O zUhi!kFBKFFqpw~wPUqn=RhthAGQ;s#IUc@)^xzq z=1fMT?^(nd+I%V&5j7+CDSTf1R=4qpgsj*c&(c9^e;gGp7K4p(%-4z`cfg z{8~|RvAj}?a06jL!sFt5rga%{fdQL+C$_CWt2>85M=Qy*e4>fM;&3tSIOd6%c5_8( z*K0#p-!w_`@tlBHX@5(xv{wicCvePW4tCw;v&mAO#o7K_T+-jAEn+}*I<2&4&f`RC z#w*5e*Z#7i+_##N@Cwi!jL&4Zw)rl?awQqeAbji z=%AdoKaUaGmz7cl4BK(7(}#052J+cbCh6;RIAcG`Q2jz%(4bH~FN$5W9;ad!ql#0d zDE&;E69u&=O-Tes&3KeQ!b@{Xd91%0M2IJZjg2I5Iw-~X!Vr0}W<|mHk28E7FPxli zjna@f%jHrY;uuG|6k^~wCOO8*F2u0{VVgEL3WT!-i4)k=#AtOKM!{1FAmQ%x5{MhIxGU=JTC0|Ymd#bip!O=xE^XEn{8pQi@QUCn zHi5}*&E~q!83muGU5Nh5QoYS^U8*fmP`Em901SmYwfKkz;z%h`2erShAhO?-L@go) zKEBsY;Bsw1!sB8bFUPoQUU-0-(>xsdLsnuilTByoGy=bMG-o>-#<0!Uom%7)OG7wd6asKd8Pt1T)yW0Z zfP}||tUAxe0E9EMm`xP(mQ{XJxoV5Hx4XM}f&G*HW~Gi+$Pb5z1Q5oKz-}F46JUI8c$^wx?~! z6vhntGZTL-r+FwooV0S-*?rNU@z0r=h$HeD_H7S7;LOU$k5y%-52Ukw<>OA%U@D0% z0p(GrRg#xK9Cw=O>`HV^lI4prdQwak@!4!9JyIT(7VtE17dw9UitXcj*{Y=ye}|i4 zDsEQAiDP9oAr>s+qc+ggGE&m=ag_8WzmmS>XenvWlhgk9X{k9e2otdK>)5DV}WdfKn2r~iudbe_;ti(9bQ z`my_G@NT)Z`pEuE;Tj1j&4s?bSr+*(yc+GZQwjr`CnpG(SU^K ze_d-jFezuaE}MjHJ{Tw>3P?W)Zp&eh~b*CM;4eok6h6@OY!NG9zp!4Qz(5T`!+I8+A< zPu6BaQU4-S5?)<5-;{(`2xBJ>@-1wMOz5Dq)j0Ar zXW?+feyVNLbQ~HLF~0?#&@Z!5@76{#Xl*hWMcr0eA%~5RtVbNPXnckmiU;X1Mmmg< z4r4-x(!#wuYL~W9N+H>4O2R87A(>|<%`&>-5x44+GZQ+8V zwph*;qtFp|N+d(C^xdq@gM!iPO-Y1~k!HMa--x>AyNu{ZwN()mQNvi_9?(6RjiT*xqM)!``^!oZTWU%obQBi#V5Ivf zy3$9j!fJGw#37!Mb^h|y=pjbtMcTpzt@9Q|lOA^{DuTJ#I@P1xq0NE<(F;vUgboq* zzcVW9{isy^&OoHKMFrkUZ4va9UpZ{T zYa(8!{aHo%uQerc;*{@?v_TOexI}D}%Ks;A5%iT`3D)f?|AX3}Rh0jJQxc&oe-*XQ zLl#0*@=yd~H_3w{l95!gfRjw!hQnVnG~VNC>s#6?2nya=qGcx;Vp4|6K@rIqWWZ6R z6&WNl9=PAsW=jG0>!u_^2Y1oFA{P0$u65o@^I*Ck$wm(`Y=6`iE+}k^qgmq4b(%fy z6pa3$&4Yr`?@URAj?v;h7EWJ*CL%AQUJeQ(;=rQ&;0LMUQ;bq%XIMR(CD9@9C(d>q zWd3CLM)eS$r_F={(^Yw$MR=idOt_m+Q(QpB~prZE0!qqu|(QN+NU| z106HwD|~_8U?d%Fv4bM1bugJ%B#&z|q(FJSDT&ab)Hq>6Xl_Zd` zc*s7j&6R@eZ%s*rj_m1sYC=1U$hRVlZ=@2D-j8aqR~XULE)1)`vJ$&E{n45|&N-Mb z#q?IuJXxC~1BN?79iP=L^3PtU z2s;otnzD}hL7osL#(tZ&nu3<*^RYIMVEo04>68OZQ+9AxR^p!c-&PEzEDeTT$=|4qpM6w zgpSekcFI*nal}*~q4P@)axnefv}4|1F2{M65gXMOH7H_BqwWeQ!7H6mQm796uN1D= zXtSaKcbzGT(1Dw`C!4n-J{$IC<{9Gxx+@t+{1($c5k_a7_ z*$tqw&7J_rhdJQ))i?TBx&m6&_mUY*`Pa<75mcP+fVNhdvQ5`SI zU6RHz*Q!+D-Vlb>FEmhTmep$gur||*>0Dt-B6QO^Ta=)nv~h{6@S;??@6!IX0>s-*NrVnW+reTgo#vvWAW?ghq4=`4FhQYc zN5DdG!$pL+QLy-;_O}%*K5t4QbS!pWHi%81$t(s$DX=CMjiGDUSt#{k*c*|Lk)f7O ztd%<&PnWF1D$ZcJ|Dc6G6tXfsvejRjCW|Oz|7&gK1;xH6dJNLXNO}=gR7fAI629U+ z;V?`RJ|-62`DIrP<`>!wD+cp3Qxc&Y%)*_eJfP2G#a1SjE7e_H*Wek3bHT2#`ZbF% zASZZ3-=>;3r9^jVv!DRfW=bM-fZ8s@Nq0Faxj2-vl=GL&+M5i?x!S@6En)4^W0D&z zO2whFYGK)={cQz{^`<03$71bnC0Yp`OujmT*z!1;1<~XXh&hww@i=lG{b=dG&Un65 zTOmR5TpIUPDcg&)R4Qf1rEMlXOK#0@K0#pu__>PUBK0P(jX>o@yh4*C*<`wDI0gMxborjeO@vE)v29~%DRb1_S<1ZPf$?d@})Fkqr}AK))gzjS2+~dvLcli;4lO_>NrVo8I2M8yP{8-kM?}8}YielxIE&*zC?KwHW#jmd zGgxyk3aeYdr%1RQb59Q2qpCSp5Ny@vMnQ0vDT&Y#JVo_N_vf>HX=|va*&6FXMs1_E zkU@*ssdYR}ERSI>6};AI^P%9i#*{?pcrDtQ8g@rwTr*ZCqZ&QLI9;wSTu_`ANBaeL zVyL8=I|ZXlw0Tf4I$%m7bc`0hFkVO{D3Zq@Ifd}5A_p(+@mGZno?(Qp(H1QzLW`n( z#2am48ziR=yu}Jfld9)1qRoN=&{0zop#!w^5JR#W3$=G*FBE)r;MJWT$mX&3dB~5{ zcn>pVZ_^ewC}c~;?p}a|HQD_xvoSrQP}6zFa@B@sGwb9W@Nne5OAmZx7` zr&y`C8J^E+3ltQdjwrl`3P<$|(*xRHR}i`1ltk!=bZo~c7RUChThrCK&zSr~Tcn_v z%!|^<8V84MSi?P`{donH$4yCu4$7%}v)GU#CV8ptiENLj6ZOaE$9$53nsaej?)YiZ z4EU6j(Nx7@2Fc@7so7ez8Bri>G9?i@WM_I~OJYNUEKDL27 zwZ#uw<~pm!j|x?;g@^*?<6nU_rp=TB>sh8GLWi}@U9Jgum8b@_HyNZu+QI|{slBoo z6AmD8qhRr3?Qbhs>@_73Iu@rNw2ERLyOa}NIYSab(D*(J+Y7Mqr-(y%d_xw&USZsZ zwFM7~+sY_*;E5%Cr5w*gbA&xC=jpRBRx3GI&@5?lq@bBMB@sHBo7~xF39gcd6 zbfTuo=CQ(<;~UVn9zH`8_b@$e z6BOf3l{48PnW&wspoV0a6t75DSsq(w*UDqs94hF4-;_k?=r11w?Rtea!1Ii2^X{-Z zCo9m4bSoC&#a83k$bXul&5i=%R8tb6gSe);jJlgMMF*t^6OjX%uAMmXKrC{oQw{6B z%LSWT(%q9#r-I$1&4+^5MW!S|$7^17*{oNi)_Z{QDQXK96rcINGS;Zh ze3|z56KOGQ{5F-(PajCh-XzUiU*vFfFhuAwyU)q;VCkrD(xcu$q*ZOl;9V**> z_}bwze{{Tus|WN4SMYZand)#9oZ7AUT|~EK;zE;nKzK#Gbd#5Rh5Y3hi=#;86gS!tN+}G&LU}vlcS;&`b3mFu= zQ=@r0*;u$`I8U;Wt=e~^Rx{UV^PyBTBc>!m$E#DE=Ht3#^2BHFoae|6MDVCHS04N| z#_}E73J8j2C!hEO355H_z*cResvJ0}0{b>?rW9cBG$j!_uuH{WINEmNg3Bcn`y5K? zVr^%6oQE02f72E=D2U5w+@Cke)B?%eO2vDf<tm zae7Kyu%I|Ckg8@bV3j$>Ym8$1-mtnoHC1M9 z3m6-t%ABLklmcvvDT!KOb=*41g?A45!{QKe0}>t=-w-6?b{ZbpwdGFx_f5i&{sUj0 z<;!z?`LnoGaZ&0kIqk)4q8E{6dl4Zbk0lpnqVn45Q>I+J(7ur_OKpcP9ro+!(q_M& zE-m&=bZNKWK$p4p&2(w9-$<8P_M7N3-!AjLTj};U$$l&U_%^!Cx9_IQF8l3tnPFc^m+AICy3DdK7xzj|8%b8M z5*#*H2` znTE`jZe}_%uW&Onka?GzX+q{fH!~BNU%8p)8_Ff83B7(S`X+UQi>csZ?^*cTRKZ1o zlT*Rat(=^O}KfY=Qu-5u4oZ- zh{+2%ITOh=C!3MHnUgI@euR^=ko*oOXCpafmY^^P$(5XJMe-s}wjr72Wc&41qOX^t zPlxE&EChk+LiD>iNuqzAlO*6%oD}L^B%T%OKg_k)}v-iJ9! zyx+-5;{7w6B;KFoB=O#IvLM$iXsmHFgxx_mL#99MX2|sKbTef7pK&uVeNT>!QjR9b zapo!bM3azXHz!GsmvNHhcrz!7^-pjTte2em(t5MGVrnRLweUqG*_j~wPiKJaOhNV$ zP7>K?Wm3qq`b_Z%edEQPq;DMMB&p}`IZ5jIG$%F~3vLAYE;eN%8v?ZiaMq zBWK70?&Ty|z&ANb7Vr!w$pV(G5(LQtdN@h8+b@%X_8pw@8S*A6dNV{{a4JXuGQ780 zCdGSKx*6ih;S4F|gPbHiJj_Yb!?TmZq%X{Ro_GLN44CM0GsMx~aE88polJ^{-s5KIp>J`9xOzq=#Y4-M3bHdqwcO)o z$Tm}MhHUe8&X6RZlu7aWV{V4NF>jfmMObf?NqWc=_#7$lEC_rXJuyoNd_N~i;2(05 z1fCHQ53s$2mh{{ew)3-yd=_#MjeqhQvB!xgblDT+B)0H^)gb$6Gi_ zM)z?}!st91&XqFEh79vpfYxjw!?~O!84h!jWO%tu3ZCBSW{9URx*6i>8P1S&%c6oL z3Dm<$;xxrc;`BzD6eRC;Geq*6ZiYxUoi6A=ppr8ykw!QT5wuA%KL^Y|O{HNDG4Ba? zp1j|R`@KY=RS5TLPLgoO*?4HYc7*y3i0zayL>d0r=z;-ULF zL&7~Olj8RoROhs!E~1yuax)~{J~so?EIBQ1bG%k^-v;i#K#f+L;QnVaDTubu=HCU; zZJZ&w`eaf(bc36rFTc;t(3ijFW~fm7&dpGTed-)RcusDQW4)h~R73udlT<@Cw+UiYL&i8s zHRJ(KQVn^Glc*H!J2*KP$p<*uf#i=lIgjk5qH5RmX@{z}w&N4+Le)u5l0uJjl4N^7 zCrP$%aFS$uS|)|Y&zLJ{h*HT(5_Cu=#UpodhNS+qOp4#1a5Dtfq7Ffa^l`3Ciic91 zA?3WDlTc2TJgz@87xFww56l(v%$X;WB+oidk~{}xQcxatGxYg;I75mxuSm8pXmU*Z3{rML$JGnlf>@joFsOyon zeoD^6OAm>Jc zU*Rx%I@7jeBzp$^nMr?^(Vyk?=REpzKK;3X{%oZ`-SlTW{kf9<9Hu`d`g4r_+(dtF zray0@Key1Ix6q#t(4P;|pAXZY`|!sqICJ|`X{*p%%=YH3zEUckq?$nRa}%!AmwAI= z%*zpnUXEDxa>TQjBj&vvN#W&494|+5c{vi$%aNpBjzsoyB)gX*C3rc~hLbyPaBEZ2vdP58|=&Ob!K8xDH9*UD`Ng=uhX6?;FO!HXO259 zy_kdaTu!|3%6%~FBtBC-_VxH_uYCjk zby|e*`||s8P(WMJ!ZtYUbl49qAUp+h<^Iy0A3)wdE?#}D_)C*&d+i&MK5jesi^;;* zi%Y4`&O`H6(#!yU)^N2bGiwJo@HP!@;6j5NxX|DRE;P7-3k`1ILW3K)(BK9xG`N8a z4Q}8&x~VpS&}qK`Nq@jkBoI zWoO1NVWGwHE8+OyJ^M%W=L!1rWBj?He0{m^hO*NPP?;BSK7wFvGKWd;$MD!Kz3o%P zzs?#W&YV5M8W7Qp3PQcl{IcpZO$9{#OAMCn|HhA!wnB3DLGe&ze|*5IOY!L{iau^@ zd3WaTA1MwZz?zRq@``6sh2~))0FWr4rT;lTVE;m}h#c`M8Ak3|%KcH^bIrw>fer*J z7OJbJ4H%D+ z9>9evfSWLlNR{-3TR(Oi{kt9YK~ri7$P~)XY-z3~gg%DzvlCthwJVooQZMUCC5qf$ z-BdX{kpKPV-1-<4Jm>z>hie5R_to1}b|6`QB1KMVf1&in>=elFn?j z2)ziJP_%}r_&KwOMhZpx0e%=b5IF=+$Kr}L)V7wLwmnJI`N(hQXWSOUX-3nA!|k#6 zZE%6pjwnuuPdF6MAL)fzjFgW%9S{Xkf_m{G4%=TS5AJj3C5I6Hq!(*cvd2*VL{T1f zI;wvy_YT`E+jqwl;(Z2QPKn2dy{?@Bo_a#9$V_>0YP9 z{i%>H4fN7s1NgCJusD?N9YPpF4DkVFXMR7N587DI^$G{#8b!TS>cdEO5kOOQX3wB! z+wfy=(n@2P491UNo9WlN#}MtW(2HG_y*M7ERJ6($e*xaYqD&uDDV*XY5>}!&2T_HS zv;?<=Lg6NfJB3m|f&oDi_*R3r4&MF-XFeVw)B$Os_ZY2ZfHHxRAZjH9Tds|8QzMGs z5Qgxq@`c@xT-NrP+!NDIr}B_=L-BeZeNMN&XwV?wN~;)wUdvp?_78He@edgpY+hT z7XS0c6Ux^*$rn|ZKE8hZSZuZAYv(O*F23vV<`c@-ddU~n-#)&6b?veDxHz`;?OxDR zJfVDTkbF^t;^XVr-^^Vt`C8C*?4GYL`I{QP;0aOl<9q23o1S=9zO?Pe-QQl&(^K=3 zG|F(wiYp5>hd#ERdF03`lC34L{`Q5JuGm(?7G$Bu)A!P|@0yd9FU`DW#h;sx*S-|0 zESn@Q)R_C&`s15k^LMoxbJeHV1!TLTevLH?TW zr8$>uz~m~b`3txH;U7L)YVE4U6)%x@=YQ#oJ(s!){Ov!_eDoK!FNI?a=+8PTCKWI(`{>;-`Ft%~kcGTZyyVQNG~D-o?L*ItOs{UZ=l=SoADj9TD|o|w z`Q&0Q*57WFFq6ORXZS;p{pMX?Nmntv^*85y^1{RWUo{rP5S?6ZKcx@vPvr0aPBo?f zYF+i@N6YOMN`vugcLhYqVJD?uPbSm-$cOhQci#2y_6?NVHuD`j-f{A0j@YBf4aV)` zxQxP=KUs01Fz`czHc4_}ag*KT-dsLKLE}b%PAAR>$`Jx&68F;60_jHUAe7HFTH& literal 266262 zcmd?S37j0sRVOUXXmsDVG*^ylX4KMjb&sUcct&%!t~pv4YR!S?XlGYtcU7sns;06^ zt)2th80-<0?;ao6_`t?sE*rc)fDaaI493QQmt$egVeqcK*lTROpZUOG`2H_mW=3R2 zR(D3IOCS4%`>}RIrH31U*~eS(U>{WSzfFcT20R@mYXx32L~VWy{11nS*mz7 z->VIt@!SHaP7EFwe|pC}w^^fqq>iMBi8LB`dM=?Ur&f7EYH zS3P1)^wmsfd8sv79c`7oN&LEwe;pmG*UyH(t(Of(>y1{qUSslWeDp-2G&<%sM_b-` zboGW2@r%XE_(-|d@|xpr0UuvdsJgyiEVCOZZ%*?^9tuBFs82Q;rD<^D4@{I>pgvHp zXNI48YmnGKKR|y)pDG_3Yr5zP^!}vlgK>1(M7=&y^+w&ATb*vc7*%}y&yUq{j%fk2f16EgMi@9LHF*Nklc73 z-QFbnYfJS>Z?pmB7%kV(ErprqJDb|RH>xr#07F-9qz4!tEq;N4#P93q_pbJ+o%jfBgd&t$Lr0OS99*K;LlS2K{4QGNOKy~&GJMED!pj$&3pIYCm~a{ zK2e|PETumN8Z{{3TJLj{{Zjk|XblpE8vvC%@wE1YfAq2n+H%LWdQ zjE+Fx!0)m%rS{~QKTsS4J8U;*yv|hs9aLNl$9iEjq&hMvo=8i!>iL;t7#y*L-0)wkw8y)vR1}3CfuU6gWBt{rUF=1XFp9W%nd&~#j zHrWjHTg&y&R?B`1lCBlB!Stw)KAHq8L=~f=Ty3F?7m;dXEDH@s^UdCQuOP^by47lZ zY7}O!-W0kbpO7AVlMRTt7F}O&w;JshtR3tKpkCyc>QfktvU#gK>7mig@HL%P!3Y{H zz{GphkK4juxV<+T+AH9=29ER#siuMD*T7xrQEE+9-~TUuJleDMNOY ze}A5MQ_v@KHPbn0J#P$>4h>Ah0JS?;_+G0mX1WB78v=9Rs!zZO1>-uJ1ZWt9zbz4f z)u65`!>%EFLm-QJgeD7^-OifepP?SY!Ueym(#>=>^REN=bwEr3{O@Rz!-yjLFjLyx z*%}bg`^+otFWp*Nf1{lpZfVQF?Otn$jp5ysYGw z#!7`!v9sj7$0(J?pD#_6N}Ww=kB$0X6@CC&l+O+DgMMegEl$>JWm5ftVzb^T)~9Ot zwdGEXmM}xZ>Owu8V)@(vtYnq{sXWim@jTFPNr3fTrNF<;(qfdpEIzNk7X66P5*XKoi!gvleqvtJxNwUXeYW%LgWlFm*I2 z@-!$Gv%#M!y}jL8#gp9Vc%3Yw@Wht*{2iFe5&oNV0|Z)(xe(qX2pug?42YkuXpy-^ zr=Fod#ZSu%^`e&_tJVwXm*vM`Kw+QhNn0@)aAaV{T^P+RDdTOxZItnq5i~lEHj%@4 z1$#p@NnC+Z*sRZ#KG0cuxL#-r-&wRP{X9%FeqM5>UN{3Uncwc?AD12l1P{RM3Pm7W zUTlN?AD(&TOzGpW_~bj2+5|r=quwLC!M|W07#f3`!eR8B0vrb4n|c1hf5-nWTzI}U zGgkTt9Ch)fk9XGkEw@Fo!zmM!Ye;h?<{P&VyY3Enwt%jgi%blH0&o*rR+AvW7qJP5*gc z`p>t-f8G|*CO3Ps{4@lH^@vFuerCV&v)9>uv{|2oXcOc$;T@+{cShhu!L4x~7N#k5 zgZw$=x>cd9$n_HCXRnh#>=nx5OQaHhzjFj@rAgA*;~spgBKIhUvQXAJzj>QN9N%0E zr;6NTfTTR|I$IB8&K6#XTP?SyA#f3+67tUZf!h^2_`sSF!<)POo&Yy$pFlVIU4_@{ zY&z_DjmY5)yQC|Vo8U<_(Vd<@<#}iKC3IqC+K-7>RBeEG{7T}-#49SyUg!Ep@a5{X z1A~QbcdPvlIXsMF#9bf&k4^8yYi7neOQRuQ`Vhuye+^RPSQRM~)^adeR+~986V3vW*Z4b(} zA-^GB+~BC*AcTw?Jg7Ga$0#>Ap*IM}88;L=glvXGi5t9BHi!m8IHl(Aw0xW(6UXoe zqIPi7N1Ip&&y+rlzfF2A7mh<`rEqaVPolG=GL{!!cYCa}oFfP{fzOnFzO#lFUlsTK zK6qv#T7_>89gZlsgK*)>9E&up60y9Yw(#&P?+Ds1K@5y$CM@Hk_m?!`p<|V- z{&q#HUUa9`UzUkqM#m>xGbh4VvAPKV3V*d;aIqFfL{E5~OZeXiMnp}vvPXwC9Y@{- zel?duYnz`Te4iV5CVckXGjN8Un~C0aCOoXn&$ogl?s)s@r>92|7ODB@a|lGs-6cUA zlDhI5NL>2)=>4TcKhTHp$I=^1FNA-`+Dyb`uqcH`No)MhvUY1ce_P%!Peg3cDk*wn zWzidV5gUMN!mE=#v6aF$P;f`10A+t!8-= zYF%&9G=rGaI9zXp5=Q+7MFKBGL{LpyhBXmgV7xW;!ps_zyIui->rk-ze~{f5MA;X-)Xu(J@4bDJC2} zT6Grgij1|%UdHM=>Y&YlQbaXr>4%jqtb|8Vy(eZOI?J(I8uhR&tWPMqB7VjAjsLn{ zXaLLzdb~A?*vN#cAFCVC4;O)14)tRuXnCSWAv$<5M0aESXQ=7~OdLN%m?7$( z4Z)%h3qAa8wCFXUM8gZi=cRX)-WmR#ZFLZ8qrooqy0eaK@Tm6``Zl!slI0cRA%932 zOv_t{qr&J>%uO=1f__Cj%WER`C}}K5xUV^i{y=I({<^|PZ?~Rmlh3EnSg-s%>awTZ zx%{cap2T9K+9ZgBv29-#+Bsn>FRQq){YyoLgcgJp?zouAQwRa3m=+I~+8fsa&s$xKzB}M*e_*4<}EStw6b;(q7GL$xo?wEvsBOZ-Tm5Vea<-07am|zfyrf^KThPVJe z5n{|OM3RH@IbbS$vQ`jBqOH&@igrmk6B!K$f-Y0 z2u9NZg-XNMDOMW&{k5gnMSp*N=?&rE!%tA0r4aJf*LmXN=eBTCQ-afj2Dd(2*uhZ;qRX}!eP{2(ms=P`pxqRQB1GqjceQ%Hw*iIxSY2Aq|=l zpctKPN~5MXiPpG#j*}bVz&wBiu3YUD^1}! zV6lm;Y?OZ?VKyo)cxLm@P0)i4$^)5^T1P3SXzAm?YsXSlX~|g%v6!2A^x5SL7KF<> z2a}uI@DNl!a=y`r1PErTUCuMh9sI9}d}6ca@Q(w~`YIgFzQM-^cHeZ*lh;4bi3St~hgPC% zscF=X*?ul0>>L^yal#IxltB%2z+pXXz%R4RzVpoClgCFyZ#;(#Ldem}__HtLB!l3T zwWLUI4=#^-mHD9;`}mdq@H1iOLOJ}FQ$T**bM6Yn84&*@0sD}N^3a*oo7~0~yka5k z&=PHYTJ&wTe9m*gser3I?(_w{7=DCM1O?_X1WroV)H8Z$ldhw!U4v?htgIQx%2@mTNVyNj-3fKzq_(J9v)4udH$isarQFv?IunnPra zYOQ|3K68Ic*dc1s4?!@Lyz>oUI__3|uiqhCLln5xF)}m+IPmQcfZ-?dSL&D}WLn~l z$)?cPLz8j{76p`c?C5vMh8(UJ4pRnK{1hs{IW!TA*#_f8{}w~>j^zR|bm8H;Gljey z)v!2#+M&-tIQbns3rrVh3U=Io5%vUWI`;%VS3}k?FnK$l z?Az(wl!_*P-npx9VE3+_y98O-5+E8F$2sW5%qjtzRFz#Cb(R`E54*sMNS#S)@z@g* zJ(m1vy$$^ibWA>+sJ9dVgaXDM$_`ha@fQiJ`|2&$Mdh2M5`D5sIEV;i41)omT#~+> zkJonYQhQqH7^o1{0r8JM?tJb^>O2C8n?3uiqcYC_3|Li((pz!yndSgRm-^^ak~+1G zi8Rn?`=vhR^>|z2hHV=6fbZORqx!KVA4FdPiKz>59^3mwoV2Dk^e+8RdtVoU?J75S zV!agftye4hk09eM#3xWx>#)nYQ5};)i9=c>ut29=6UA+QpE?4AH$xC&ZxRLIC3WdK z`LC#9AT)jDx)ckT?9Ms5LZOy0jzCFBL4n4;UCv#1-R11uX-b_(cVu-QAm>1k^@E8X zQxIzoOeL((xEOtym}*W1DQxOv2djD%fw@(FPf!fII2u+1KFTrs&e0@_|A197%d6bd z{1gl=j2^XDDyT2yamFJW9uxrq1Abae#h6gBx+ekZ?&wLj(&C@tX(AWkPO zVpsr)VweG9x>iTYOSIJ>4=&@hAK)7mNs& zi!359#XEO|6~={PZJ^@QGUQxypyss(YmLdlpzXa#hWPsj0c3u1vYIatlV~jaFHB9U zao3Q|)!_$&&>Mw?FMGTX;nc@>%_vcVuvxK;X$4t3Zuc0qdqQa!k;Ak^b;c5;kcqvt z_KH2KJWm0|3-q6mt2JRJF3=lj%!eoljj-?9@Db(yxb!4?wlaLyrXcKv==b&E?=;wg zVqY2G+#WrZ(F$G}P?S81bZ!ZoiFinu7OW#kyzS^i$BsEChK?U`?mTjQ=z(MR4jn#x z`pC%0-7^sjo8;R;ViMIElL%-W8#-~{LqqrB)nmu*t(K{-UcOc;md=r$R$fQF^Lpw6 z>VxH+0~XcLLH31z!FCGhnuw$X>60t@0fi3uZ=%u|#l!8%T99}NGRoBCJOUWVVTg}x zisIhnp z8x^3%qgd&P5^6*hP`3*|lj@pg9(^0c7ekU*_hT!JrI91-Ug?igk#1kR&xK8|=+tNu8-%9Kw=aWds6o_QP=!kePlAC^YXJdOcE4xCTf zm*<`d<{bYy`Ju;APmUZ8)f7Jy(WYKOk#m?^zKe9dKmHU3gyMYBkCNgIs2?j{L}$+U z0>I4-pc3{A(+~8x^qLZ@R-ghLNS6j%kXXwkVnKFQIk319&_FqY_ORDtiIhkjUP*?W zAB4G(XkirO4?9X5QPz%002Qd^CRClGnZb7>I+TP8U)?6jH$5t0Y>k#Y7j`~+ah=)% zP7tD4!wUsTx@j*Uh-%{i|fN zCI%U%F4PkvA;Bg1_ubq44Ux+eZI?j}gLo~>Jc>&eb9No+FfI~t&dV14)*-GZ(SA1P)@ zbkpYWL8=9e7?<7BSsE5xux4!v3Dh7S3XaNEn7ww;H(SGpg=QU<)=`B*pwsEZ%}<@CS6ZiDww=3kJr-98%jr<^`on;h{g{uz@>nx=z0*aE-mIls^QPir5TBnsQ?B8;W zqoRBW-b*OT>OxTZ193*r?Nf4@TMME*V-#fA|T%rrsuP*j%E*@RJoVe3^JaHeX-puT8E48_i}=%J_x z*bx0QYzx=yL}ePoRX7pyanUg z2n=V*k<$NBGp-rJxDI*RENKbxv7X~iRBHy?esd5TM+Zw~Y$8K;J$yy!v4}3evo3lk zd?4R)Fgj{=>`Rpkyp8JP zlvQ47s&qd3&brvnDO9at7_2%(5q=6vkoAy+H*0Oh-YNA3+Dj#0*dBXZSzUQE{uwQSD>L|)Z2Cg%UvG*1>#g{gLgsDpf4)8b&mY4-EAJ5h;gw|N zUG$H4E5CF$DX|aE>|Trh{?f>3VsBgctGWr2t@T)F ztJl$mqb!MoIO_IDF+j1ZbZEd|3l8_>tzG4!iFt=3{iK%xqRmNqyJz-^v| zI#l8QMelao<61fyHQ6Fa6ltv$OwZU>PFoY@)XP-VCS1oVTj)fJ2nwQmWs|MScZzkC zj?o@LawZjaH;6V|3<2L(#A*~08^z<`_t9VpIa7Hpt=>Zrm_%r|{ArXMi6YMMxxO>E z^lQ+%yWf{>WnsPtkKvthgC%?y7gWCuGvqrV=H{z|?Z zYHz|I64f27aH~`9v=5KSMbHO3VuDO5{Ja6txL<6s#AyZL6X1%ypD1;Q4@Wy@gBOA= zoim+H102@Gu1v8vl>a4TpR{u|w5PNiHRAKARO}5fd04-3SupkmHYjkSjKwYLbFuB2 z*JN1m1umW1AY7=O;AdB>&jMAVrRzAkYpSn}UAQ50oh|Vl{}`*mhJUFX8-pgakrP?N zGEJ>9eAh%9QqOVGTtvP!U3zu&sjHMvjU$@jPI(kx4|ZBd?_igAu*sCLL;Q6Dp$|BA z6cddQFI_18NJKb#Aq=5lXDWHj7|4+nZEVh1#X&|dVnG{^`7e-ix!h2Qe~9In z*hz}lqFrhc-P`3SUNZ9rpc(Bbq2azZ0EbuI{y<@7__A<|dU!g;0Q#YZYE%!W3oHyb ztnwo=K=$VO)G&I zus>uTTa;d+VcpkREh6GrslyV|W`fRTSe>EH8_WG5AA-por)-FSi#k=5Q=?Zez*oYU zJ&QUkge~Y05!(0)Tk$;3dBI)=@^Sf47bi?%OifJ@vNf1UOD~ zRyM~A3XK~>8no2{W(&nA&4IGl8fQv428iY}qD1e-D6JNzUgoDNAH!VSS&iW;mPMoI z$<3mUqeu$ot@y9&!pIe-h;d5yoJG^+B^MiVL{J>Yy0clV25=+_>=u*?pCYSSL{Dr` zOY_66N>2nktV)-6=GuhQSrsO`fH8U5v;xF=542TaG~6rD?kq(_f~wRQ(Qt6?nYnN1 z&mUR+$=AKLBn`mL{Nv|dan~p0k3q{XzVP|ql|Sy~mS6eKADopx?&BZ7`NrorM}swJ z_^ofA_M+c{cK>|p=@rp$xA42){p$Na8~wJQfBTn@R=*ehb}Rq(uRn2Ncl6s!g5SRR zsV_#q-NwIt?-lQQZS>pi!EgWY^?yq@yrN6~?GuX@#S9Ytx@N&=ul#6a?!+%Ez18q0 zB2&)4{nz84ihg6!*R1^8SG`v;x7_X@{>RFgofE&VdiT?N6obdVz2^~NA+0O__}**Y zAAN><)BE$+IwzCnTXf)uUs(6p2UkV576d;0gy_DT&kX(*cI00AM>Of}6OY0vkp7|06!co~EY|SW7>%1%8iIWI(tdgp zPGJhM+tfF1QU7tf_(y~}y%Wu&_(#Mye#RY;3t|JmXULgLm{wqr+;3-VW{K3eFKi&5Y9UMs+-%2k)k;LOy>*F>>y8Q#{p*t zn|l<&?FgnN`Vo8d2KL-cKTab1Kn^SYN&{f46Ky129LPYMUE_rJ zJqMD}A!}mkN`!;9`>1hkEbuSk{?XA4UXxl#V#1Px5#GT@&oE={cn*&Lk8+<>z8?Jf z4g7h$vZ?a-_;dKm7fB~{(mG-DO74U;FOp7pZCWS%!7A>A^)Hf6cwJg2tXs;Ru>3{R z39nDEI{~LYN*DJ3$Fsv5(>md`OI}>V;Z13sFu9yNVbzO7 z6W*NG34aoF!s-`EC(NXE!oV`tgq1InPIw`$6Slv|oTayx3T*+~yT8l1})sv`+Y^7ugi~4$%qmaKeL;BKVbe z>d%M2%!6fN+pqk1S|9#NFuAOKktou;^gcTNLkqc+E<-21JLUO%mFMpf&%1@WMwcjI zu4N$iUhea5?Z11O(%#mf-S&T2SnMZe?~~8&RQhC}rCR=<)+g_qy-)ftSNi0|q9>GY zK<=?iMER?WlrC9}p+@-#gq$mnUcrC96n`Fn`!$uv@aOQ(7l$6TJBvjwQe^c+OkQLy zseIBO5C25LJhW(!;r<7ux|tUcp5X z_}fw(Dkc9xCCJFriZ;ul+H<@ye7W21EWsh|)Haf^JtiXXl_EaPvI;&?j90=h5brE; zeWSQ&2Dxo)xIBsz>YStXCN8ijIwx>D1Gayj@LI@WoQ;c`^`**F_(bIg@gK-uY2r`n ztrq^o=g;vU=lPGP`HyG$j~@_!3?tKCc?JGjc_sb>c_^4Zhdg^n>eX{3&f)U7IG?eF zgMpnRD9#qUhaBDk8$0SaE}IPjmh+8*NgFxWB;=%c`5bayeF#-Q*pWt337Ay0_@MGg zGv{c_+`q?~`?U$~DbPI!_cxu!%@|D@8ra+`ILH1>(lh^na}s$kI;)33r1Q|@@EEe;Ao7#do{R?YOar;iJM=5YS2dBHboMn$A zR1^(&%P9S&iw2_6YVaOQ^>u5hmL{a4NbDR^Inf#Vv|R>g=+7?9+|5~r?^?^SEFl90 zQsbd_19B~za>x{tY;B+Ut9)Jq_kGr*L@ee*J<_LCJVV5o4P$fvN8aqc%?my__!Z8Qi8E}pfokvvioKx7i zP$)MrDILNVGn@wnBOl#u)pzR9(5|??Thd@@w^~cPA|Wk>UFVQ?P2dxSb5&dp?J0A( z)0)Fo2@WYHItPbCCzX=fegQ`T{ZEb@75oxJq|(XT#T=BYqO=3&u1v;dng@E^3%6SL z!jeQUP*8M^Uby~HbQ6b|h##uqZZ@xZ4wqFFqYEzLf@XV#WjSIk%gTf-6x*CbmOFw~ zM{vPQzjHsfyQ8Rbg0LKFHc`YcWSqptP3M#-@qr&N_ADmmm5ZXplAp1b{IZ1P6wsVQ z@`IU|m#`8gt`=Mam z4{`5-BAIhYe|IST-Z`W{feDy48asPl;`AL4<&R5#vBX&Fr!G=ziqFm=bzgW;s}oib z@_G$8pA`oNqBvY!^%9pa`)e%8%P&$A3MJ1W$(=`n1374%0?RRX42K!v`kyl;51aYL zm>r>#dMfFMc|NRO0U4L>;z+T?uQisq60E@&CPpqrkmrznqd*ZGd4!brHO0oOxJ>Cy znAdk2^BNyr6vLi_!(|lI;hh;V-&^^edHI=(9`Q_}^*MMpxtlizn8}MQ<XAhaT4m=rjyh?pOR;wmDFM!~L%h*ME8sUqS) z6o9FS*a?L(Dk1_w%kYX=LDLeoB375Q6s(9<94&_`VkJY1iHcYUkaJxTelfY172zY2 z%O&#K6>?cb3cEs6c}2{^G*OC-ZH1<(ikNH2T(fN@BUlj@i-vwhj8hs=VpBtfl#Z1| z^f4|p2{uECv*xd;I^Pg0Qx}IFH%haABif?Yt(nMYq-0^#;aO=ALLx134|>2XEkRpH;C>?Bj*V(K zM_|0&#O{9D`hmQT*j6qQFvzfw?^Jm?{u4}l%Ovys@dL&m4=APd8dJPQP^=8#k5mLI z`?@@-+}`cM-Q6CDo?fX=aB+hkf5iN~48(fU-JMlAz!FWhGlApUH+=cSX34@V?kYDuD_3=?MN5kaXdGJUqtY9eFYwM2Pi`}hWBdZVd353|Kj58@Bf>#B@@+2Hr^bJ^ z9c$9J`Da#dT3d6zlil~{2jrTngnXEK7aYSV@s0?D|rpq$^EkC;*QC(ZA^VA(kpIWxT4 zmV~qkuM#BYeGb`wv@A|%!ZIo<^rWmCrPt_klO~FgQ1IiNXcuUWiA6DPEN{jEw4}jc z|Bi9jWCi=y+&IgIB~~5_NKwR^uaD>HG%zm@+44AY#`p3ymW>YAC)r~9kmA_?mNCbg zMfpuz5=nh986*K0a;9RtW}0yBh2tp{u0m)G*w80~MroKCWatgG+71wKa61 z+ZmjIpW^bEy~;ZHPsVU$)xmsDT#7}KM6OW2T+5@XNJs+JEavITD$Pl{LZ8aMW6Y+e zc;B`q(R0YJr77V>;k;B=kD@WtntHglBzmqM zx6@P`YR7SLnePbPDRicDgw9KIP`?~{)1)?3x{Tw{=q&Kqh`$IrtQsBTF3PGJ2XZtC z(=1JzAucS=`z&MLBN_9qAFUWjPbmKy$f#(>GF>w+81t-Y#;a{f^jtHRMMXw&q?O+p zxnDFEAuDprbI}3As^`93N8%TZdC-vfSz8i4M`CY?gtO;>GvcxD+-^8@s5U0!u)5i+ zohu`B&9|M!2B!@H#`aH*J0&Z&dn0V~d-B0C!ufV19|#p3-k6UGrHsZEx(@u2F|V2q z{Glz0p6kFJkq+!VfSaAqlF6Q?^;3PS7UoKexcR$L#YGKx7K@I@l;NT%u~z(xaW`ev ziaVrM?8Ta$#LSbJd59UNREzmY%&tj*mAZQTlQGkpdVI&0M9&vA|gYbtItsxt2vR4EyUf3)nPaK~-@Yz?{BKV>X`#$NAS znG^RRlSQXRG;tX%nWYg}ot9$z4P&M>P=3u86x$rdjYl{zeZavzgSY_H5w~yQ5=*`% z9JfT*aV3hNJcGeDQXg+ky63x$xAZ2A-tram;}~o9t+PoaAAII4eT=15BrY*#NCRt; zEr}#p7W1T>YI&?%kdR#b%Iqp*ZK;P2)7|xTx_k|XLeZTPB8gtC(+`Q`dU$&-olHf> z0$0=XB~j{h*_j7=tc`aVBbU{d9E9BuWzM^>`?#lGB-csiJj;wf_=uwX6b?$rlgwme zBAFFClag`2&6syharX-n7IU`k^l;UoI`;n*P_T|%H7>g%aSOPzDkWt-dsBw*3F9uv z3g6Ya0&^;I(F&)Dl=SN1)T;EC8Z)M0^N1}8Ih@Zhyz@N+Y!MX)0z%3U2<#AtOf15> zwqodh&{({z&~43$I)Zo+f#6RaPia%Z%Z+)`P&4% zJnk^h(UuYXDPvKyB6tn^%t$%GYE}i1FubJfqMsf4X zUM*pAIou=-uH#_>VE`r9F<4WIs5Th0r@^|`mPF5Cy(&14j1~@aM15v&%23{6ENIpN zd37#8jNJWMBR`i7r&LzmX3Urd;(l8aJqK|$k}>Tna_~>5tnHEy8K{>T3zHS7HK>1z zaT6O~DOF8R7_*{5^HN(9J%?s9O4*y`^NuswuC~gkH|Drqe17ZJh@tvnW8tzwwK<1k zba0nXFc(8CrP}BRjXBZ~d$}!%Bw`lv85!c?^|}QK$;BKY9@~ZerUxdmlo!Wj<6K0z zMw2+cBC)FI(uTF>W5ykvU2Cu@l6lLkyeV3fvWEDGF+ZBleAt#m&(Yd>f=m_rTYKd~jz zbBs3+6)SB-XG*x*w@C-$;Fe!)-Po-WBe-ByuN>ViIahF(PjaUW%9It$_iTGxZaVv} zEs353w(8-s-=^xL6sIWhjN!SVXYj1f;bdEd7X_7+1;-9!KD1$Utu2Y3qjIHM59o;P z^;9RCg3+uk8L<`aA>_@%5h?la~}!|$*yiJs$^7&);tQsNn7R5unS zD@KcQ<>DSS=by5;s2YD=!=h|UqUTuL9Ni3)%=ytaM(jGRH^-~>DG{X^#+4n3u$uYn zjOdJUhh#-`Pj0M@%YD)^dbFJ}l1M~w&I*Z?p_sB#d809_8vL)bCDC*EZ=}kBgH0Ul z-*OJo@__fS_B%CTP8m=q1@x>hG1R|oEPPg|Z{)3wg8O_yaL;AcV4l;r8onvJEk0(< zpN8*8Y)SMS-`z*)(6v@ulw`$6`0QS&$%~BhUm15oR-A9b{`g3WM4o;&Z#89G#TSj4 z)WH5TTM|77d*>siGR~W$V}{QOXDF%#a(rwhtrndJaJ-b4IIJx5TMYB%t9!Ko*@@%J zz<*xyA5{$Hng4tl$0d2{be*y_Vu3M(8pPlG4-4^Dve&1N9D7JYJMK=FtBDPa-J3Cp zea3y1b*yd^Ho56l+Y-EhLuHyx*#mKdF-sb3J8Vhxd}MAo=(aF2!@VpiE0xq14AyaD zv9f}-F*inhMO#*wF9oO7dKvtK#@uK)-DgXp=Qu4nj8d<9yA=zv|AH_OuvD8rSdtC!qg|?_dLdtGkA{? z{lAR6AS=u4~q_|=0zmQmZ}Zw zb#3@7V}3Pl_@XU|q&8UOBxPEYw+>m5kX*dOcE3chNle@WeCalc*<1;%hAt~_i#Cj1 zxn_RWNYn$Vmkzu;ZNu1BE4Yaj&1?3i3*0Ry25iz?MYM;kk-}JkgFUKe*~11&hwf z!$;y!&EAw@`=GI)Sz)_c1bd==Q~{@Al*JCJTa#Al@d0DDGzi~kOCmFb*4yj8pD+v@ zVs?=+ao}jsM!V&Rdi{Qf)*RS{i^Iv}L3X8b5l6jp3tYQRTe9dqge0OD;|kEj@38j# zzHuLC)t*O%_5^*zt~O-Fp`#ErFZw7Sb&+xg9(NHp@VO2fZ*dRtuj-_nQnB(mV~I4y z`-~vb)lZuD!;hu+bE@7D6E4=;6V3Wms}xs<*%~sQ-!hgyE1uF#YD7%t111$~enpz2 z^bKRKG)%r`OF|lhuiBE3>n7HWi&{7J$X&bsA#qe~xJBkjyNYBl?j|Cu?TNyDZFb4_ z3hUK%YkRcj>D-XxJ2C>!^B!?dw-O1?(`K8Lf~aeZ+0zv4N?Q_A!RCP0dba5wQJe&t zFp6bVMET`9uAFjC)yuvQdl8;29=8}~uQJw0je8=i4Z$(gED6I3!>&k@Z?GiM8R@E_ zPbs20WXz_9`MrX~r8D%`(UGLsg@LU!qWZ!m-vD=E)8)~0S@vY2emg^ZhOA`V7g-_O zfo<6V&pe5{G+8sxIMPn=teF2LY3AQE=1xOu%$9^4oujrSr1@uk>81I%wh`Bya+@uR zt{g6pk9$q5`sg1=g6jqnbzO5cW~F+&affA9s%vu?1;il6zvMO=_{v#bYlc%w_TFO5 zn5Iu}79_fk{Jwej@z$I{RXCkW90n-V;9^I6$_V_bv7lKISet8s9}0|z{3wHXY1$zE zgfTB#r+?IzgdD`b#JJ6OuxsN9PHs4KLt?oJLtIOqu8`h@ar%<6U|Dh6lnYl-G0tLO zrNp=X(wHF)tp8?9A_WIzRnl)+Nx?cI& z*G6G(gqnoi73@YvSM|11>SR|NGp1?O3PGZ)&7F6X`x52+X$r4}@fxw-aE98gI_3TE za0tF}+>%YE8NVcsO0%ZIfbKKyx2&e&B{}6NYQi+M6uh2t1NnrjP2!QI7vd?#V_BM| zzuA~&4eGot2{~+c+mevRgB7lq#=~~==774Qn{u&250`JeFbE1Qf>|lyy_vquidZ!6 z&#a0#7+ckmG?7u^B}3Pei#5Y372B>cqni3XX-h(?-yE}sE%5tKdweA-3NCOMy5jvt z8sLk#uqe3*t1#kgdP^Ft1{aLGCaW6Uif#RYY*c5X$`Q2h#fIT;jRnux-JPvi!?c@N><12tpFij43$>cE%wL=4 zhy1lMM;a7=VM{`ewLfPx=X=GujSm&09UDc8(~E6wDX7iTj&WPEetuRA+Au+33?Ds4 zyE1S)U_CE*)R0SAel9ZRNkeX-Es4y?S(~#BII#tBPt?T}MA@W1)KXh8T>Zv!WgTW4 z>8zHJFL5_iVu+;_TI@3BMg!_bLE;ixyFq0(!My|G_-OwC@*vgeT78nDo{7V1Vv#oE zw;8q*#vPRvwm}5gquCMH6|g)=hJ@mDJ$q*@ZjfK77pV>#v#Mcwzby$l_>Qnz%(vP6 z{x0Anr&7S-Ng~2JLZ!Zqx?d)LLpal?kgup0aliP{dJ~7=I(>^QRfi4qWM29S*i|~i&A-W+p=ph*(BE?Iw z`VC`|G{u{=C6QD-3-?-j=xov~NJuVv{-QRTW%5@@|r!WD_{;4*iuTZe%qKO4Yp6&lIS^X*Bos(;ZEVi1QoVv=QKRO=Gg>z zb2VlN|K3>GtPozC8)t4+-a&e)RZIaoKHYNBEZ zg%?<|d05J4zp}*WO@{X6#@&z=+M9B?wM5DR3o342;pLUQc_ne52@K_MN@V6)V>UIw zr)^0j0k>EQ$;A{KYzq>Siykee#HCq>9ymI5`sO`+FENZ~!bXts*P5^*eb~5rvnmqb ztA*VoZu90neC8E#rr3y-qPU+oW=B()pRpy8gvtVKsW6;Au^=J2_!Zl*KXHNl*z0D? zk9E)ASbL~9o%RatCKYWa{m%o=$#Xcxu30FNt9q{NO~n+n^06pg_BCVh($$eQMN#knD?@+twY$%a2|0-guum-Md>hgZ^m#97z>zjJao3@ z+!}yVI81{r#fiJgm?aIiK3ft!hwUynaR{-C&EhA#DcYBU8d~QOI%RT*0_`~DuZZYL zXz1cO>-Z47NLs7_BgS2oRRQiMM=y{SE8{8JxdK_k{Si;4AZudvtPbuJ&+n8m z-m_-fdrY(si%ofg;^w)U)wjd$7_#1Wsx&;BO{i=2Mc{O-X;`plLbhBMTtx}$| z{(R85XS3=L4jYSj;=2?gMHyc21`x|@!arclh^8g)6C^I7e|4?W>qAAjuRgZCA+(xa z%{pgmM&xtG9g!6gM@7Vy{6^(U(q6AmbH+Yn%$Ww!r)^2dA@oT`dEST6&5tyZ3c}js zWV`7cEjMwJ^z87)XL9q`8SZZx_efT__vEHnA{;8v%#V{qd1XkZD1eH8idXjyV^%f% zzsBGhpN3^yg}j>M*>wKIeM8AQ!Q?{*Wc{XIt$x3k@)IaFh;?_`fLmkCiq_#P zZAr)hx6GD=oH-fxi<&uk*jtd0T=4v0K|=Ng&)*g#f_Tg8XN$LVU0_;CZXFW z9lAq|GVpYyKv16-2Y&A6jPW~-1!Xa43XN$jVr0H~ip}%mxNDwEXQ#kYK#74S z(%j{cdm4cliOjuXFjJ}sml`vu0epomiJk+z6A*@bG8Bs`pr#yDaNBRf|H=FoLwvKb z_*sW*pW^X|XlGzm8Eln*1>=+g!@Mzv8pgYAN%S1!{b8jjHrS(#o=SV2K7dN%U6U36TcWyBDH~mN$fAj%Pf?UmG#tl#YGZcC!) zC=G=JipEki3bF-LVc8E)LG&p+L`*Z?sLkehbxTP z)F5AKOQPqH4<2-}lR4+(6 zzTwg)9oOUJFRC`Cx$U^uD%FeepikwGqh#Zoj3G+bN|G=&+4#k@WaI0NzpCk0N07LL z$;Oq)FE;DpCaTze>i8qpx?eOFF=NMeR^{NgN=~BbJoP$+Uod7v>*=4hB_YSpPcvBa zo$=d@4btTroF6*iZX|T<!n6fv)G>Fo-92)_m70?)(oVMcBV&d% z!2ZydL}tLO%OOQVISF_mF;kif-ET`ms!)%>TYIQk_X)Xb8Jq8u^}$iA z6%C$ATM|8oXY+A7@dJJcd~d`S$@Qi)65`{kTO)?*ZN|c7g=$N5><;SRn7hQ*@GFK> zQmHQ(Go%6bCR-9c2W*!BjEb#9W*i&FVu$QMAnv%Dq@5gb3=Q66Sbxp93$ntxi(yq{ z2zLjHgd5H{z~L$^f-*8w@}$3F%%TSL$8AYu2HM)`+KxF%hjNG4qj_ zD(q<`ybF!F)`0&vTiuaE^PgF^PrYt(I3P)yhw`lZ9&+ zMTzxemvK*L9rJfc{Yde1NlXsrM`Gp`F=GmnQWSinG25DgrKG@p*lINwW%_Fz(2#D)gXKp`;g{$NEn8gQ7Zl?gl=C zP3eZ1My2c$A2yak)2RDxN%UN!4oZ#UJdoU=(`6=dxRgM4aa@n)gCJ{na% z#hIC1X;LBtFBmhgDb1T~N%UN4a4j1<`UjjLQJ;&VBoy8^Jyas;p@KPEGu*#sEN)h~ z=@K{Q7tRQk6QiC;oIycXX;Ne(W&u*72ft#>ng-^_ZAm1-w1~#afG#hTEJ#Q$I3{R8 zLUO?gPYV)~iwm|%j3ABu#!H*V-f*lwAxibSZkqjal*hh&`}{2CNW|1U_Se$#*b9um zs;T(*go*h`(3AZ?H?R%~9*R}4x%9ey2McV|4c~93Z z7W*9&$?Nb(?*03Wna|q$OL#}4lAK%}Nu=<{_~ zIEp>&ws=)|F?sxDd=)qU#ctuLT$Sz)h1q5^0OimuulT^{_{j@=y_Q zN}RkdJ-o$fr;5GKSQJgYe$yQ~QO;5S`bKX?~z znWAlw&cnEW2Rl5EyL3da=l45x<-lIIJQ;T$D&LO0<8K)wm#&N?c&c~&&uQNAH;lik zsod8D2@CJoI$5~&ew?=0Y*bxzut+wzxUIWYaucU@cW=hSf6bNivmViU97n>IB!|Lm zgF{4Lz+to^Uz+AUuQX;!gJYQ>VF8D2%5W?BWQmKOoC0p1h|kvDn=u-Dj786=|3HJ{ zUI`9imcgNlMj9Ri#!P8=++<5a+QL4DbiOlr>xP^$uZ11jj@v*=8x|{$SjuyT>S1G% zvO={UM_)5f`G}_&Mk&d(5o2yNj855-NMd9$<;hu-N3I14$;IN{Xv*#(2iI{F&LYSo zi@A@v6Ud8CU{AYqyj^YKx`-0jg#elFu2spEDLID|BQQ=$m^2aDM`uSH|9x0?sK*zdX8M*;qv%6E(O9lFhTza438s;<2AA8)u*y5+9?_zayQQQ z+D`crqxz4=;%7y5XRa9XpI7mn6#VC-eXgqcOj+mtZ({~Eh`(h^qUR8=BX@YRj<`hn zMHMN}8MZ60>eX^&y>Ng9Phs(?icm^kaH}yd8bX_FN%S0{ygY;pY2A9GRh}$A%~y*c zPDvLXdgo<~GCmRw-(_U)HSUV619Ct)kPA6qRTfGFvn(>YsG^=yVtkh|pBm~1Y)K?h zw{U}{C(R)V3lfrxui6Gig80*$FKztEIqac&n$8JqHNCmRP74<=SirjZv@u}mx=He; zhMkt;Q-PYudkm(Gzp80kOOUvPagMc|{G(ikD|$I@8T7~8!EZMfHDd?ko+xp|sVMny zvH!|b;u*`*q8V>7W<~4uH`|hsBkK(e+e$u%81RkHM?e{5S$aM6jsr;r~>W?ZYDzO zb2VnzKAz01=q-%exJG$^mPC6R>E!fTX{Cy!qX5|WEK zrblc0yJ^Td6h!n2yx2KI9z(ozCcO>o&tt|toK=4|BfJ+z_Lw)#n@I^2J!;I4rZf); z5|_~2UjJ~}Z)4~2)3ntEp&nd>=z0AKVB(l$dxar-&bUjmLUeuZoa9{8k&C%8j+$z+ zQ}4ET+L%8LvME~m7}=jN7CSq#e1jqJ zO)&$7?+9llAF^zCQJMvRw=sVjvhTDdkwn(Q{7MVXCc%P)uUxbUH&(`THh6U15Y@ku#u`!l}7xP8aCQ?lZAqlh0D+-55u@hj=l^2l=iB^W*9Bj>S22!lhW3o>_G@~z;@Z&-SGm^c=XmM(8#b&p9=XlQmHuOxNnP>a>rq2mnQ$ut>b3 zj1c#6OwQ_nUnDJ7fueC&WmSQ@bH0!@-w?7Q=Tk(n8yzd`7NH8F?pP$@16dO*t@r>> zS!TJ$oNIdWq%Dc0o>;hL(zD|k--3kXqF0{X)ko;G(8jdTNm>>@aCo0|6XNs69BotN?F*it^F=481sSDGR%5hS|K z2=l%Rc-7&uk9*;9nVUP247MbmanBDL%b0Z_uSP+h%8N2=m!##)`i(i!dV7~G2{~YH zv?U>jEn_|p!`6a?_797AKfZ|r3 z5v-E&GdV)E)H?3gro}(lf*m;zi!kXqIPV%4JJlxo@qTbK-h*xNBFbt~??G4_l`6H3 z)h2xyQJ1BbDs4$CRcac4RU0yOL87aHn*UQAuN|s6C$aDFT-lqVc_Rs0+#i{C^F;kM{~>av;@${j5*LS_=qiu%otcF&r#ebIw3rNIN^Tjj~SM~ zGL|SSEL8g^I0`*@#m`!vR-E)jV^%bL{!EbQYR2Z>&pH^?CQZ|Ix%H_UO&)w%!U5+{ ziME~vaoJ{rWWjq4mNH;ZB`-;rt0c^DpTd=k1c*%tfvqL!>%KV;llS#=B5 z&A|c;RkmYb6npl(X%9s|U{f&)DK!_bG-gWEqaP3?x*CP~UkBaw08TeRvEw-$RbLjx zGW}{fEe4V^@>Cl`t(fNW<~a{Tsf3AKhCnMwYU&9 z@2jFBPw2OzonbNT)2zt*j2YL^e~&E*X+?gV6==SfSOY0)5--aUnVq4cE5>eoJe$7E zitst(&d90=11X9SuhS8MTDRy5QxHc!CDQ*HV@@^XKW$5*=g9X1Q|$kQeF*I$4*m^b z?uRSkmkUl*br;9o>{UknTgDxc6?GhL5lBMo1rcJyQSuBi{0PXAmZM!hoLU<44P!Pn z$iHSwA_=+0d@o%Fo^UKkNG|4BAJ`t6G<+YfODoek03lolSlxV1ERVE2uK`ybm7RV8 z%?86s2|JdfSA%D9y_{FdthU!(*Q?d;a1Lk4h<=c28*FM6HzWH&H(-G)x*?jdu-Q3! zGkB(2vXs(;Ym9}^l=@0r54i~{WH;hWux5DngARXA$g1z9cFt`t>JPs>cJ zNnAdhl2JTl%%TSLy|yI&KLI-7ssy;ltwI{mUEX7$&l-2Z#Q>dfPy*c55uI|sR>_z} z4QS7nM9+cV@#uYGC?7z`nNw%l5RW6A5tfw=sBiqq#4GEwSHpro%WQ``lzuuSE}GyJ7~Wa&44||E4jD=_*N`keZ0UF)b1Qzl^`Cso&oT5|=Ol zb;|=(EL&_B!c^6vdUUNbMV}7Un@z9E+i}Cw>=U^HI}&U=R_~Y}$6W)evp-jsl8Jm& zA(AX81dAk#oOUHgxgssdw8EHO4dJD>B;?S(LXepEZ033uYn(vUEGKr6q%~j|_ZbV7 zalCalAlD#qnq;n`IPi+JME}jk%xECxZAoMX$vSPfo;L1+te{*iw$aI*k<4i-GHF(C%9t??o0csJIiQ|mc;`E`zV#7oSfGyR*!a%dX$>$W748fCFOk}E8p zEG$S!E_&pKZQ`g`0m~jTMVMps>Ag!E*0t{#cW_o++nnPt7dk&Dct$d^jf@HqSX_Qy*?YHOEAT>t8UYI*sZobIu3&dosX%f zUW?B(^Fom|VSBDutEU9Bzmql8)Wpi#qsC~MM!VL$lhZtSk^JVDMuq)RAZ=|DNv=PuI@Bu zM}z8iTN0U}vR`r?baAr;ya;k1l)bj`al55kD@LqnEMHc{wxZIyaF%9w@Rxp>*NU_> zlxxh92HKN?#3fvEt$CnUplv$X*(RpPI0V{L?)q073!1g-*CNOi@k3LhOdg=i)7Db2 zGUi3=^jFxDkR#7F=5*`bLrIK*s$AX09;w#sg!V(M^;sP1Jw_Mtc-j)WcMVAT%WiX1|$u_NF{AUTWM0>GOcr z@tv!4;|izwt~Um+O7ox|F=k6c=8P=~IoQ6B!JTgp>Z(Jy+@)T{iEb3xbb=vrf`>@l zpPIcXL-=xIL9;_hSGPo*CNPw4@T#=9^s~lnX%J4^lIS^v+fI9hHd2--R$#?Ww{V?V z+A(nlJH_c(D1)E`$0VJJC1xue;z!wzb`4t( zn?9Bz;h$v?U>j@yl&VNMpkK_aD-j96szd%jd#EWlDO{L6Z%f2P$-u zN}|Mt1+Hpwq}PQzZ;M_v?tsh>NmkuoHtzhas(U0?3?vu2D$;$5J_n()v$&3^jsaTJzAy!XdHM{=|;U1yB2QF)(r6tJ%iZEjT65K zG;vjA#BU7Elyv6~W8SpEeXS*l7cN_{Z~^_V(sNjMDOW;~tv;BX#G@kh_&ja!9z*@0 zabILLYeWvv(z6mK7VX1QFeSNcj}!_ zi&ZX3i&TEWm=z75-{;OXwoJCi2W=cdS-is+KhY{32eMBlk}~N{xby$fSmLamzbWT~ zvwV0ZRmfR1Qv-mswb%bPW=MnJTec+R5c!5J2{}iyB3#rQImbY?RhexgEiB=wbR{%j zPO3qjr5!8J&YknKlGCQH&URQ<<}n}g7#{qjn%ETg{(57cH2t~GmW0%wULgkyTWKQ< z=Q-h-R}LSHAM-9c+q$=7n@bCgc67iveIXDBm8Vpk8da77NaLPM@w9%Uk_FIg*AuHH7<=P~N z9KeAb;Vm3_RSX60luX^5jhWQoeuFKE%y3(~yw{Di>If|3l+A*67^BlSa^K-Z-Zeve z#`af@WzLGNgQ+#-SqIpkD5?`|O8Vjx#++$@epHa?x^nEgdbf3Wu07SPW4;te@WbZ` zrH_Vb+~&^Nni2X-<9^7F5d3)JSEQOGzY$t7gwmYo|7OgahS7huB_RjhAKQ|UPBd#u zFP&)Xp}+1pmN&IldlIp8AN#QGI~-S|l;^BCtNVK8HLuT220YP0zbH|U59X9@9V?7^ z(G+E=AklR&&wm(b>FMJmA|D;^Z}~HK^UcPhWgVZ(a?MF!q>|KuxHN4b=8c)q`ggZ2 z2{{mVGDO`1KDK6c_0Zv=<4&Ceqh2!(NAe+q@{qAGSwUGt$6llAB;rPKOO~d^dQKa& zqCs=gmP8U73j-%@Bo9Cf5|WD^Emv2cYEr=Yh*{yPX8NN}T!n3Xy( z-!^7M1Lm8yBzg|a%_A-nB%)?8 zY$&qKLm~{kDLw)ylqgy!riIK`>F{qcW>tfKqb-Td@LR9b_TeOxYP(2bx!Hm>;%>O~ z(Q8G4wcsA(e#tt-Z=n-WST3YU!jOgrJ!?jq9aya^!kxz4YKm~XAklR-IPamIdq)sZ zrQ^Q(e4KcN!qj>bCA?7znuhzXFfHoD#y>9ixlc3H7f+6Hca3{8EAIE?kWnRx^DHo? zUI-jzxP>(c(!g=+faOtgDp;MiWPQ?@bxjE#vn3&|!K1b$S5qg%o1P08zR@sl;P z9a|Doi+EjY(jS2?OD*CmCkqmii`QICF#$^5-gaqA-L5}WZ6oPUmDHlt|Dl@S#^w$r z{}AO23)^BUSUI*htY-UyF=*);NHV8ZvyI?W0Z6i%?e~qps@bg12@;oX;@Wr!{u}S5 z7;3;^qi`^JEKqtA9_imQmN;WScQzq`56*Z;uH-CQL99%hG`?ZXjt0QjY)Qz0_ElRF za=5b^T-0#?%*Akl;r{kZJKXOGN)d*t6W&WWk=FqUQob{c){*xKebgyr+ zi9h0D|A4WG>BC;@*v_hGf)|`b!#%Y~@2D{wT2CLcB_W6Vy$sfTr#12q;K1M}%FkLT z=cdC7#4H#bw@?ZPM*|xw+=;{x=or4spw^7LA}gr40XCE+JewT+hlekOvg9LK6x37p zL7g?`Q$xLEOCmGs)^UPOd@)i0d8&o$bZNsdzS&r|tT1lI!LxL4D(k)^|xG1-%N7j1niS}e;T9{~8I4d!qq@zD(Rr!i>pJY{) zb-5aG#QrmLq^LRi@0k@NISJ;xs465~9x$!=?jmsk4nsbCIL2D_g zgiL|h;S@?)1a267Mu!WGO*&K?KRjpQcY zeq@GS3W<2m$wI3>hWyg)PTyp?SSwGITD$t4y*KaO7aM1lN)!rto3U1;49-G~9mC7B}1C&z*-oztAkB+!7;(?h&4< zqfQGI(R7D23jV@7Y-8i1lld(M?9YrlCM#flI3pso%TRV%h zz}hvGc_#1Ix;Rp-0RL*-QCSt>wj7&gzdH@daen1p$P@43CCRDuM7C+v;~ImGUA7g zyCUo0?`OmdA>vh%MC`VrbB5*|@I%IoX)xbyOQPp6Un5{H0_IaLq8%c#*6?bDGM{u4 zpU>xN%s`fmh0O}&)eI!=og!X^!^OPfhh|HkyFFu0G~~u?N%S1K0|Ge@$Q>-ZJ}!c6 zB0_^wahy_wQqlT29Z^(-<&NBH<@TT0Njeuph!O7?cT!fwZ)e0&`l`y9k7P_b-HMC> zlybdv!I(=;8(wWoqUYK$EVN-9+Ta{&)_u~4YPl#Pb&l(&t3kiRQy@-og{wz5h*rJx z<<@k3(9bJn)|U?(cVkw4xu5lAJYPt3LLNgzj)lC`lWiRbDtd(X6*IJ<^sa`lQX8C`Y7dXd>R0 zR4)k2CN{P;wkGQ4{+03DEhArkbRL)1awGSG@nXaJJ8*}B>K4APUP5a&_NLCrdX1bxQ1*E1sA zc_>$i^-T~rh?02X4jb+o@hI#XH7-ojqk}#X7u40{e#=u~FNZCz`Ale`nmOS=HhohYQ^N6iJ>Z$@7qW z)-ASTCpKR)A>`I{;48-LYC7;`TM}~4_!6tpd}j5$uLqZx8#AWCyu_A7&tV=EHi5D~XFN<1 zfH^vq#gVrHMycS$0>k)ihI)^2cVr#s13bwfZj9JsbzR8wE z&%u6)0Go0^2?qj8jG#hC956DwXJAc*!GFlOd$NMRpTRHYH5VX=9`fla@j;)W1E-BS z)O6saEs37%z->YYD4V1>0mniIQF@WlyiZj>`n+#XhP7bYxP!84!L6(Xo;ua1d3nL~ z4)N$L@`i2-&Ka|)sex}xqUUO`U#P+OE+mmKyHj+~Ln4VU1rv2&CV ze@hyy06%WrHCYuPFawktV$t$aG*J?UT7W>bydqivo=hYDm@$VM{%^G9A-VX^y>T+TWC~(g>n?3ri#~7M!CAE^b2j0##w=)R@;kO9dJa&Q0?-k>ZYn?n{OF|B#qAdwIm>KGe8q7y7h70W4`teIUnD0D-yUuWO zu}|v|WSGX>u`#jR0saBwK1f$a>Wjnx z7uy&s@4%-56_QJc_Zfdx)57-%66QnQdgIo%!#F}3Ioq(VAn5*b^2CN&+VS}Rw6X9R zyBybu6`9AdK0x6y+EltQZAw zK|ye%g^P&jr(zjfpgbga3b-vIHXu3|NsEE~s&OY~1@vyW?V!6Z){1(N#U zv3wB)RaBhYx@(4O>OH`K&Rjb_&bd-K+H=ELz9qS$v6o!DuPVF>ifFwf99p#5QDAB^ zB@sMK+Xr)4&BYVFSTPVNfZf@9exuO;2#FeKs)d@tjMw=Z4rqfMH z1P;^kYR6+6T#bAZVTNf_Y`5GMSyQ_FyudJCqAj#v7{gTB9Cry*UoO{GQ(hie>%^@& zpv|5F>poKwfx|j~w`CPYBZ)RsG%#pPmU-LA2G1~fuh$mMFL?991K>@xYA$QuLRcpt z&7d|v3R)#o5`m+&89|`r+GVPr^0W^f-2z(DM1GE|rqvJ4{Rix5#oA^cAbbg@788rF_zm*Nd#^zt@~jY zSoa2-!AirL+PU^7L-{3bVf;dgBUA)8w2obHv!X!rMN<-iL$inuV2EY& zd5c#rSC*4_E8fPBFcC#KpVE!UcxA-gA71yXJ|pYt&exU8A!runNmlFj60=3}dZb zH$FWzlCfqOOPZxScoot9mSWkb2@(wluf~6@WWf$>kjR%1&MA+*61>esiD1&`A+BZi zYKvXJmQhq}FT^e>kD_FeKl!R|Aj7RXN)oVoT z%CD^c&ujDVSN+XlI*^DOF-7n9X@6AF`@Moh!zN|ir#`3e$b<@|fdNF!@-)hJ^$k|( z??^7__!#TZ%a^F(u(bxJZx~ z_v&QBE@w#!I>T6(iqj}!*o;)589g4Dyf{M}ybCnpjrs4rg>=?i?-)_w3TmsiTIyF& z3X1j_VX@SPcJ4cJVWLjR6~RVtn!GDjfKlteA`1{DC+At=4? zJHDlN8>T8ml-muX?84n<#pEvBvqy<@`^8GZ&()~&LEO2bocb5Oe2Fjr%9no=m-;3{ zI;mUm?UuYHPO6SsWwz1*?N721*zFYA2##M*E}Ex95pxMiF=a}zC5`?`4|WU=NJ{;J zQo~xo*kzl$FIr3#M6d@;;V_!sVqfP9yKL#oV0G$)jEDg*~IUluld4 z9_o}xEpnT!Pb=lJ6O{jT?tyIjF!|T$jTN!=#tke%84L0FX*peiH|p@7e8e5Vc@6oR zVJLe{l-SxH(1y*gwVj8UXF^U9ni`_HAtxwPku!26SxhvFE9Cm*_iHn%nCNE&iR0Ln zTHck$q#d0Wc9<5Q_lfSjfV?8T*TwVm0^|0CwmSUc77j;Ut{Y&c)*z2*^P|A?eNz%{ zk$spE9&gX^Wa*Eurk=2f1yjn2-Z6R|*mF>`oNm;o8NrEX1m#ICmHs>Rc!}FcDJOct z4!2VCZrOUtRP*jI#S5k+0tb(~O{2K=D+2>#N;nx`reg3?w~5`m+%OrR96MG4a`^~2!%c%G3P z&=%P*a?2RGcnxxOqSm{WTS}W71;c(*5`kmLmD?yiig#+W?-viM+}5j=+jZI>R8;{n z_CYHjOVUyt3NI4cu+cMWk@_x{H?YlJP=nATy#C?)e0h{FKjh03;!?jdApw0ZirB3E zNw%xTiz3bw6p!ODQOMD6Xq`NLNCqBs)b3HYJ^JGeMoe2XKEbd<*cHtd5n0F6>4IVG z&69TGxP<$`0yFbEZDwTgzpO&y3PTdMvRLIcf>OhRV(OEfTfuStCWN0jL}R>_*wA7j z1#Qs82F7$YPxlJ3xEUtcZzN zL{(x+R9(ZkTANSBFy3rR;!SvwwH1&>tgTqYhE1UZINQ6(3u+LVgyJyshTS}ZcaS-d z>bz#4|2j+aF>QtT#eS`e{f0<^1QI8XVbhKXEX_M|r9hsu$Xvkh)Micr{6nTBY5{kf z;L%$u=AzzQ6E_(8v{EiR=a@?LE%9RN{m0iM=%TP^p$%tj3e_H}MQg@*ee3Fw6FiwW z@a^+%J*jqTQ$L3Wc zN}B-%p;Jsrti+3~hJc`1vA&+^AC8C*(mG*AZu^T6DZ z^NZ5LFo1Eni&VH%FuGEk2L+>yDT%-_nzdDIa|!WrjouMtST3C*0e_8?JMpF`j1JUfnQSf5m{>Tlt#;S_sDDFXLve^t@^XG}>1 zuKDHLtZ1ChRP$_LDTF$T2-hT51=TDC^z#Cv^`y4Ye$iTntrL>#>g_GqI^i&_qWFY1 zHwuc6nUV+`#mfHh>Ml#|uJI{n1?4^~yT;u%exmkA6}7+gSF85f`(cJOE`l0c4N-2Z zx4B?+XzRpp!DtWTgmvNwgIDWq<(?v`k~_9mmTOIsMf zXtaez&|8-q1&bZp-&U~bHYE`_7IXJvq$MB9Wpkx;G%rA@aewPR!Kmc4#qx{Fyl|HI zib%fDW(?w3bp@IMZ3Yx*Ql=yVhh~XWaTQAa{dC%%Sj^1>W?mO;#3vc5vbLChp*pcr zomKG}p@EsmhBH*i-l@%q0@-z@Bm#$Q*1o)z$C~UUq6^dp>8ZKLu-vCDieFe-5u>M? z7p3gntNm#Oh`UWm1P;WmgV|g%R-g!`Py!w6j&;^a%2WRhb0}5E8&r;Fq*=9Wu807q zS8?=c41%hYDdS6;&ERouMfx>^UE!k81eP`mO^6v5XhH^$z{z|Nm5#2)RtiTEVo<1B z5j5T^6rmW=quPusM)W;X5`i00WDHiK`7WEmgtLQk{?{Px|CoS&(G(?jNc~TyBmxI| z_HJ>wkrmoSQ|R!_z0Iq7o8ej!7+mdeN@EFh_<2&FI8utCBBwBlJ*X5HWhPt zn<HdCxwoi+~i*f>6|tunvHvBlgt;9--*N{#U;ZDth{`GhHnz)hsx z@t{K4QW4c=Z6~TQxbtAwW2HI87}G^!1~+D z*pahI-ZRkQ#eY-QNDUwb@ZX{H7_1 zz(H)^H-tgg45rR7b%3yFwI{ySxz8XyuPu^akmiJQf+tL3Rd|vbbwPPf`|}DY&zh15 z9F&C@^I)sQCY|ifNAt>gFb$t#fKJ>LRNr7xSPr2|oLv4Cm=ENeW?fWDCu?@-`FVlC+oCPB-_mt*SQaaA9mz*x5#~6O%|}v# zV+F(WwRur6++<23a12*8#BjAZ0y7%2iZQPv>F*WBF|IARUmQaXaHNwmqY+|S0Wzx1 zi~{6qO-Td}5WM`Bua3W>#!EOEq<7!fw5#EOMn zt<9}sA#XM%5x9lSW(%S9KhbNeE#W(rAVd_i6+&;Fkkz#iuUIS5>6PMV{H>APN08*9-q;XI)o!R?3D-5 zYNo9aZN0+c_`KDREwcrz!{%W`tb8Fi!K-OLiXU)8VvJujf%V~n z05`(mVwH~rE|0@vF%b2GJV+>&%bAAiO}VQgH<*%eE0?uwMdKY|;Ie~R%;J;TQ*3$6 zA#4g|N->&D5A`N9VoQ~kvGV;GepnN_0HY9ncoZ{9aqK6dB7)<4rMF%CxVOXv_#HN) zE45YZxBYoFR##(HK_1paap`HEMXD$wWsW#1iu96(@E~i5mKm{zgd<-2v|5v9w1rS= z(nF>s0ynj}d-MI#O!6wKPRZm*lU^gK`vk*#Oj|6!@M0HIg)afK;7h3mZq#N#f#!Ns z5`jarvJ1T;ny3mzd$E2-ws|$jNz_cw_FT0$6VBlEX6*QKCP6?PC&6z+PY-?8t3rkYA?W6?y|}JQd_%z zO=dPtqbKu)V(nqj?)<{fwLh*{$4^a31P;gfmnMcnyV%{`U-5`S9nnM4(B3@Se4Nrv zyCkqe;s6eqabn!`MF*1Up_(8BW2D7Ux1JYNzvVnk-4509{vaxbyjfIQ|5{P&7GEGZ^6W9foTrPi>4$3*L=r? z)YC&xSq>J7#aukuB!7vf`z=h@dy(<~8YA}}Z3Xy6ZdJISC2-nAmOwOma*V{0K&dSM zL7OWD*;`FX1di;v`>iASq&TjNqLTI{`RFdJ4~lxJm37gGsE$;4zFQ zZWW`++E9bzNSDp!X>AqyHJ2S@F&7N6=4p8(t3atv{#~1E#de-FB@wvoyh1hSf}m9RD|$?LkRdP4r*;Q0p@k;bzWpR4{IyIFPx``2}2=;2*Zg6r{Nrx+GQ(f z^QGXMGbIr?zNa=Uj3fDIzTaYGZ_^gvFS4gLE~umUSGQ>Mq@Y?hB@sBP5ga99CUS+5OdkPlSCwQG{>Qz`6!D~dHJ+eZs5tR&z1-UJuzEUPeZk<=4s^6=n(pm80 z*V5*OsRsq+MAkeRP~m>TXjF4C6(yaJkB$mjBu@D9N6l zLGepL7!)}Vb>d`y*i?9TY4Hb5N&Lkv=qbVZ*ej)9m};P&1>N}4N?9dI_Vg@>Ukb{C zHmc3qk4%MkE$D})B>v(Sv}iLq`(wADkf0My<*^%qww#Q<0YSC}^(^Sw|2RcjkYrEK zg7~GNEa*(tg65kF?^@6tQxbo13)(wQ7Idkp2I^T*ep!dKAjzJd1@TKkSF27Ie)xSt)D!gk!Z!{$lpat=6 zzKz{-F%iODZO0;G>e*17&I1^`=7E)MwBHW#CV1Z!c12@6*xUCpq{029FKDaAZ$IhG zu(N;&v9J(VPsm1bA`uv+$b&C&lC3fsg>E3prgWt~r_G|$JO8XHiNFn@nL6h*8s){* z{h48UN?QQGFyTx^>dq1eispZ${Z&QtKQtu~xaL8Ir)~*q@HrALIFeNMs8M`^%CHx0g2GPRVuK@GCTVk~p#1V*Ey^w1 z2d#W8iH)e<0#@}q?IT-Zvv z&|!ou%a#f1rbQti;@WehI6;JQvAZXz5-`t9gQec4T4eSh!jeO1;Mu8 zDxnnEFVbdDf&D^L5`n{hZUy%Bo3IP~5KX!dQ5}n!7bli(9O0O9>1>|vdA8VB4=vkc zqQr)9rM8;<8p64*A*{z%ZW1#>Vn%3!No)nDink)>D3Js*+I%V&ambWJ;1;pAVi6lq z5m0Nzb|6jxrC`fwYn|q*PJ65WI%9uKTOoe2U+ZGOAtIVzMx2^mYH3B2D?Nz@&F+ob z%qf6hZ%U#TaGma)>DjR6UlizfsLgF!ap0;7B%m;z?jO!EX$!Ms!g zV|G`RQ;p(c7zf>Hcg(qf7{%715RSR5uC`JyG&#EYW(`6w;tn`^nJ*K;F>;gnGF4pa zTObK&Pmg9|iEKWD1*7G}a>l`K$y2$ev9{b_-?L6Y}Dpcv557iBm%bxedo(#2Kuiv z_Lplb#4q;7zMBj9W!lUsfL~%tq84!1@fy9JWG?Cjh~YL~pH|9c=Szl7TI!8L6{(%a z*NHo=D~FB)oZ!$6NfZo3y_rP44Upi5pnYjr`>C_v2<_C4N2|FV$JF<-Nrs-m5L5Pj%X}XdS)F ziPVg%+`F~EtSI-BrX*>P^=4mIiNHZQabF(2wku1?0$h3CqSA}l+x_`$DN}P??#PcaR4-}^>KCe$!q`dUawcBcxsX-oS*VWfX~k@;n76F*P32W@Dl3N}RMxAHUdh`{@B`t)mcDt(!bFW4itlCxO-4K#O% zv@|e^mj2VLrT_dJ($d*NOVd%s6=1N`@u+WMSCgKu9Ys&idG++%-;kcp5qfHI3ieuW zmJ532E|>I5mWq14Qu|)g>FxCA1N7$(`txD@8KJuHCW#9yQ+oCBo#E=fR4h)~xGB_~&kj_D=upD@7qg-L$#_2^*n_^z;b}IDa7OTh;LkN-;ZiA|EDNoSHv9Dp?Qbc)fTslsgO0KB zh(!CobQIyIC_D-;6Wi!frCsMfyQnj^1*BOUJ!9fY1cD=;A{#3EhTSe#v-al|Wlt3( z8Y+9-S1T>rZ$(82le~phY*Y98MGz)@grPL1B$4 ziNH}K!;SNPbFc(>;dXyJy zv!Fn<-;_k)5MfUoqq5$MO4aWS#NTU+;1>wmE62)TuPT2?`?HGj51W!We#+m_K=~Ww zCcXD*i=eOkN&srNiFmj6XBFk&W=i7tDc`&MmUfA9i8w4{Co_ zQT{)fk_cS+tEhb*un@M2hawQqK?aYGhmyqtPB(L^W^c*Rc#o^C|Ik)}U+_*7Ej!5| z&-X>J1{pj$9)S!vo~$B+M8*a8XWDEj;QqvvMBv~q*jvORAIG)MTWKCl_afQoA%<;c zcThg_!f=+jbDU4%d}~zg(`B z+Onk0kAh>~ltkb-`Z{{VQ}}$n!ASn2w%C4=)HXS@L#c7-hzC%O z_ZZfH)>eUESPc#7x9UHfIXT zKQbi|ILcz8nxajmaq=mjA$25KOoXDLLXv*u;Bbho=yhiOzsBe`Ul>#$gy**%3HUTA zk^sk}vjiLsjwFzW4}*ZO@6UI7i;raPSIcGZAD^xHOom!DQBcg z%!m+EDc`%b`BW_8B2yB9Tf_o{t;prGG3wF-XbS48?x%0`5aU?X7S1n@3n^5E%UvZH zwpwbh)aF6KC}T<@aEwmsmaB@Qh_gCGG0hLel82JT$S&G3?=6?3Jj;mPsx7Kt#FmDg z6;Og#idyao2CNjWW7@1Jz};v{B5>g5?9S$`kjI9-Xw`dwA$mYtD8CTR4G(~;h?gq` zm;1H9ui)|-QxbvWvaFl7?_*nRdWgov;|N#{b4B&%7;nuOkdNmXwI{Vj_KVu`Fd8h$ zGmVtTQLY5fl|_AZ;=Vkg&5i=%W2Phm2k~TQBo9st#UV$$7;F;ASHSd^v{9dC0H?e% zs2)bBGKL4|g93_UJF(!`0a9($CTcUI!1vN$Eqrae(KhUk4x%j+cI<^qxy$f$Xlul8 z`I;Rb06*By-WZOR+8 zboK|~k9dI_109BVm$r)hLcA$VJwV7PIt4UMT&SHVc9%#~7lDTZgp3kNx6{8vn@zv&1dk~EIFR;2>xhA^x?p@B-XtXAs-+Dt2^lQJa{xapj5Fbg|KW)6j-z1dQ6 zb*L|y$G#~FOy{jAMtYFJEo%$u7u*xV#VoJ_ml45bL@+6$=c#bLQ=1J1uIo%m1P<3M zQPPDfP%(NDs=3FY+@~#yUr<`P#8r4vs@!|EKdk_9w<(FhfoMHYOs3OZbQC0NZ!#2* zYYXESiZ%o+1UFnnh#LiqN43ALVDUXu5`kmUeQ5%lKI2&oh*DrpEE+@Cu%l4w#jrOb zA0tC8omeY(IGQe5g;kuva{q*dKNPYuJ+#?dn#PMLV?SX>Q2mr`;UkbfLeh({qC)ye zmGBks2?u16@DZ`#&MUiWFfW>-?MA!)lPQV74Q76KDG%uLSh1B!=1O%}*EM*C;am|I zoC`1@CwN2OrkXdUL@(23K`GHoO-Td}Q0t{Q{U%2x7Y9|9a^8|zdy^q~rM58sYu6)^ z8!Sr2L33(h*{=O<1&a$zNd%6?+FeSt5<0AObqKNLvF{wwA%i+ zrnME~7tgg}@QRUm>~zO0n%JPm6UZVq3JHWb%`6Z*nkwK)ZRQlf`%Fm$4)`fp$BI@2 zJw;k-m&Rtk5=O;$XEFLUv^vyP>PP&o(E2mIF#COp!M#CSc)#GDf@x&tUM#tj+(!lk z_mQYzJ_6>I`t%*zEGdw_&6GsokZuH|6<3D~F6I*`$TgpKy*H28Ez$f?2s2awmq(In z2GtE|FyNooR*hf4&m_PrvS9)X=vQQ;Q6ax!4?d;MqGAA_FeMSV0krP73dwj0Wm=35 zddqI@O@{0T+QRsStPRus%nk4NPz&QD+TT{N_>L)wz_FNdfY(^XqJ^46$31r#g+FVH z;TMIOVYyOD@S)U)f7Jf40>ST1NdyjoI2M8yP{8-k<1}RSi?F7K#*ec&4g{5=w}6cP zID-|sD5zc@pCaLK%sn}5kE-TaLGUDPZWIJhFeMQArlnH*F2nG+QG*$f#}8 z7SeAKTT;i<#PS&CQo*ZBn-2xASD2Cr9Ipl4$w6l%#xY}MGOE!-j8j5eIKMb84EG7{ z#862!cM3+9HV+C$y{04r$7ucq(LyptkvtMKWeBe-bl{S0-m0*{GmMa}Et+417KD3= zH`>CMAg2zzMGA-Gs^@T2n*{}+YfMQ54$#tr49RLN)b7S!DER8Yt1I1)W89000WVUc zJbNd%5a`&Nu%acsZ3HC>(ijLGxbBKgH+ zPMAj4I5=#>8tysm&nuujYf2(;P?qe;Vnd3UpGg>f6! z7ThmxE5q1s5%#d0r`N(*t>j!m^J;C56g1y#N+NJHH#)P=7z)S%Ivn*B z>Of7C&0~cz$2XvDJ$!~H?qPb`%CGXmYe<9f{+PCE{NjB^W%k;YEm9GUqY#(!s9K}x zAq1;Nd})ZL7Uny(8C2l^kSU44;Xk1gH)d=0a1`@wnHXl*>Qu5LJ;*?QOIt|4KrV5k z$HXdJHVh#14Q)OYyuNBmB5=IUz&y7&x!f7Ps)7yE#8_FKcS0almeJOXL7I_ZjDM%C z7{3^AtenXX$wcj31vMnYqM;4M}OG}XxA&WKAvY>7wrnF zbFv)0NT*^EUTigvjr^zi+UzJG&M_qsIEZVi%c!$CQ*=#WlyH2QXc6+ z#_)C8Li)vUNp%tBBI)c&s8hjSq0NVa*K15k1di97>atm{My>Y% zc84}E3U==|B@sAwXO4`WX!&TEZp6)BrbHO)uWKvEFV<&`g0*M~Y4m*5ja~ny&7)!i zUp6HXxDBk|Zymv`VEs-@Cl+?9HsT#(Fd@L$|ChE>{9?ZWE61c%^*Ss#3oBOT8#Su8 zf33}*g8MH`Nd%7jJS>c%I7(bu%fWarvh^Qf?B?wbs#`Lj7Q=`LPoiR`5?Xf#zg?RH z1)Ww?5`m*L$K9%goei`Tr)Jwxy$2YXv$citTdL+%Z6U%A2jWT{liR5Mc?FjBrX&J{ zr6YA{DvpYr)rFCqJ~|*CAx1*p;!<;u(YRd5k~-GxImF&xdUdW27c8Mv80L_*S=!B{>gS!qK*xTsLV0)wo8NBPYh4c&F zl5n0*HWqFf&XX);tM=Wf)r_sphf>WPH6;-^ULE2zAIBw=CqBF9JcqU;f=8XXa{sR} zmiK5Yz%P~^eBuuz5bhTPTeXd|NSSDZqZ*ltkdbE){#>XxoVcE|*N~b10>Y zwVmZr9%c}~uPv-!5KpFYf8Hch3nX(Z74LSIAJ*nY!S36pBm&27o(QQ>QAxc5SpN~m z=>=`U{Ngm911!{Xrl9k@HU|ni&zX`49G#lFZx=NnRn45wDszO_7{!zK1l8@SsWNL@ zz{m(y=84)&DZnl^B~c5kj$0?WaL*xsdMjzyfP~A%zY7x4R385G8_FH2_G!Y8p39f{ zd|Aks#o|)MMX9%Bw-vLo9z>SyL4=4rmRyvH%G;()n6Ptx>g{w{nzHHAo_YseT2t52 zr6qMeUD{GN&}DY&opfnR-AI?|shj9BH&y0)$LP|Qx|uJx&}Dw=R=P||y^Ag_soUt% zn)(O2%t-ws-+MP*rl;ORm!{Nv`N#LsWp3(rx=cyEpDsI6AE3+B)K0ogPth6oJ9m`q zR+6k>#W-xP5X_#AXm!OTEe{v@#PXdJuP&#)*NHbK?woi{IrY3u?wojSId#%n{(a{p zWG-+rlac9nGE;H&uOExPN!{RL61aHHY53YC z!NvdN4oqrr`GzPZuvvMY4;NO-ROMlAbQv&9Ou@ht_SK{NQAK z@JiUj&dK6~w{Vg^c)v`Ful&f#kOn%?ufg-g%0)6M9(p}zh?RR}QvCh{Cqpl{w1}69 z$u*oLCJ%6O8j^#YY)10koNPhzAx=(5^5>kKf#l5Tg4j$X*Ku+dl9zC@70K6gvhA8G z(br4Sr$F@K`5-Vwi2iX-lIY*zBnkKjP73ud5YGzra*{aj<0NtZc1{xKcX5(9e}t37 z`JXsRoS(c<5F^gFagsPsauS@oNNtepP6fLU(fz4{-Jf%k*qymZ{7USukx8NV9?lT& zZ{;NMekUi1_iu8Nc>ixs67TaD3v$hZ#wI62*!4IWGX1wY88ZDloeY`&H=PVj-<9JG zDMu6J*l+?q(In(}H77}qH*k{Vct0nJ^?&6gSTEUgrS)cW#pFQpD&dPrveQ8JpHBhV zX@cy}I7wuuohp7si2`qDbB4Zg1t;knZ{{Sa=fj*N^?aR^q@Lf%q@ZzfhagD0>XJ$E zd!LgbUERVNvVaFTNfz)FC&>buRtYL(0jG14EMOle$#(NHDQJI$Gaf_UC`E6E=%FQ` z2FUQ<1u`k#>vuB5)2*B#rF?;tq=%nylJqd`L_vl0u$q&khgWeDdT`M^Q+~Sz-~K4w zZxP@AKb)j5{En0Kg#{;x2T;X;iF2I{ag^o^efv6@6c63wWay!va)!8SS}G`^2;leA zoeVv+&&iN&mYfXP=7%^#l6*xb#p}OzGW7b=lLcYIdW%fbL$1JQNr9(B;5+Dv=|bSI za*_o8EhkCf_KOdd`p}mvWN$ z{d-Q5Io{4mGP*Bw5=Q6BaJH0T24pySIS9`XGHl}{$&lnE$?$fW6g=JKWQeCnoDA{Q z6c%(yy3;vH0`21@aa!Ueae9kP3X%^v86x?VlOd9GRtS<1sANx%r4dd;1Z|Sc&jj-m zPs0;4iFsGJbL9P5xPOQ!%o4)gz)2GBUQUv5k8zT?ewmZR^|F=XHMXv9Cqw)l;S9<1 zE}0ZUe3dgK+^=L({N7I0&n(nM^zxZbhJ^b&Cj-+g*)2|UyjF7G3hp1KMypkD|9hDf zM3>Cq-v!ZKoFTa~GASOq$;r@{?{hNrVZ)lZvVx*QX7t-r0svv3bnGJdVn;w`g0_KENnhq93AbXdAV|V>%cP)k$jK0u8=MST+=HAE1-YVr$De5jyC=*8$#%i+W=;~j zaZVDuM>$DMeU6fI@Y3TVAzqqD-r1a;^io(RiKUWs`unijt3+plkdtrEMn9m4(?EKX z8B{7*3x*#>U*QV$bmnfw@c(@JvylFD(w}woX9xY+Nq=_JpS|?wRrKco{W(N`2I$Y# z^ygao^IrOMJN@|p{kenwe3<@xk^VeLfBuF3dMbSHajFRf zKiA_*eVH2sV{VQ(baTY2n?DZ$N= zHryPk#m$j^+#D&&&5_339I4LDkq+G)Dbvl7R^1$_w~{N_v-;E7UT9gEK%snn*=}ds zu;SIfN{!poab`?3iIqIXDB)pGjET#Pd^TI`;rXj_DhhDyrUPO&t9(;=)tdx#S5BQU zVUIntknBa*uD`1nC$f~?`~_Azdj$EZ$vAr2NX$T(3PjmpUv`f@4Ui$ydwWno!Q<#_%Cf)-scTV66Bhzou znNK9qG&DVwMJDAu(i}^2&?6xT|B8xJ{wPY(EGGwZ?W12x_T*SDCti5xUYKpX8O$|cxRnklae%4^MDAQ^OH}EzMZs0(DVIlFb5csH&cevz; zWKYTsRY{$CObB1OJDH;Fxe~j-7mA{GwP#@aO+R%avl*c&sl29iwAV@tecH|aR)*~- z^&3!6EVpMBatN_JxF(&&ZdMERN6$fo#xB5eL1te*J2-?opdbrRb-D${s}^Cr^T?F(X`=kd+dEn%(L4N#R>5V2cr2yJur)*@=?1Tq99684?e_U`wQj7UVBb_ z0O3!1utp_&1m#Z@97MEw zhrvO_Uz=MfP?6!mz zMY-)qvmHxh;hXNU+nt{Z=~90W9X5a;TN1^Abk6|75SCLDfVMri56%Z|tmk@#191(b zUMlrsB)bTpsX9wdrDt35V^7>lW0(xak6)YV*V#u9?XS>-U6nmJ9;8&X$~(UTZ(%{E z7pfFaaU2ON){}#%!bw_$TSB35lf<1usSm+`APIb{#I1?jZm{R#5kei17J81*S_UW+ z7zv_QOt9tH2sbsN_zhqP&njQo_2{Lo59NM#u01VZ%J5HH+TJ$vi>HTgvzs7%A{#H; zQ=+9}7Uotc#bP+l51V=61X*;BM^8En+j@=plARvmb9a)iJ8?K0HklSWolZHb`hFBK z@(`#s=|k}l{C+L@-4j#&l-tsE?}E8Y?>jk_KrWS}KPmh_FI)lMG1 ze)#6wzc2aPH}P9PSoqm9jw@g5BwtirdiZ+!smN-{SNE}-i+5ac=5gg~z2uAPZx3I; zeZ!FtJ2B%j1%*8TTFf*dMmNQI&<7e(y^^8u%u^wE5S! z{`d>2*G#B+DNtF?lCqF1;$iE>E1N$lWtni|n|pfisZ}v>A;-o0(oY`$v6SWcp*78^ zuh&rkxjCMfUb^k;zm#8^I{6(>ZF;!&OHu(=Ahl)nRFTvLd0^EXwoUl_t*a!5p~auL z_x!HAY9N9x$Y1lkH1pyOnEypJf8pjo{;&H=vpQ>W#Y^Pfd0+asZI?I-eD<@`p8R#~ zOTicex;r!+;8f7m>GZHQ>m84`N(D^LK6(3PU#?{fvXB>wm+YyPhWoB#?Ry{nL{-DR z`T3VK(_VY|??!64L5UpM8cN^3`=rp6DoR^s|JUXBPrA$+iIUd^c=h;Nk66ijhBO#* zxxEbE{nRsed?Q`O@aAXEdf>t<_Pu2!h9Nq6?OsavEPDNlTi;VfX-nJWkNn|>nSB*X ziD$qfOu4xAU@gc|BRoQbbVm2yMy4A-#3 zCXNa|Jyk$tS9?MAqp9fOXd#wQ=8D4GA1n$_34>0eAJADi+<*Gu0Qwg#oX_EK6?;0T zQ#lKnS=1ZoB5(DYRL zZS$*trC=$UVm43X0``*XJJjom!<(JH?}i91WZYyK~m_F=UE diff --git a/doc/LectureNotes/_build/.doctrees/exercisesweek35.doctree b/doc/LectureNotes/_build/.doctrees/exercisesweek35.doctree index b4ac17a6f52faecfbaebbff20a3ad6de89df25b9..58034df31be89dbbf3589f3741b46d5f6a1b6c87 100644 GIT binary patch delta 4759 zcmcIodr(x@8Rwkc1z~-$yhY%mz&?1(Ly%?Z5+4KdjEb)^xWMAw>#_@XcjF6++9(EL z#`tZbjo6k+)25Ad8gEU~&X^cGbg)UsvBPv4qfu*X+UdiYj2%tw)Sh$i?y?Je{iov} zTz1d-e&6r=zH`3cId=uXub#!KL#o$~jlHXSH%eKdh=_pkn03O_s9L-|W|P&*SnMt* z<7Tal+q%!)>2&U4oIT8Xi_K-RGZr_Q&SSb*OP|}yGi8j$(aqQ#OrM2!+qyh<3(vT$ zU2dDx;bO`PO7hDJh>4pq!r4w{v89W(Ijjv<3-7Qwc0-{hbxEVe%{Derl7hbO9+O~> zc_9iuRObwBeNK^hk9rS#2faF0HToW1jpVI89^U5V6euFX!)n>5tf8^g!|GVQ7*JEgN;srd!dtPm zFFx|6gZfW8eJjrlm~d=YMcgT3peA;2(6_clm$ByjL~h9;by;~3a%x@5yN{4PY~*q z429I>NsM^7x@;RBq=tEM2SvvEQynNmN|fWFGj)@Or{joKu(~GJ(B$dl24Ju#1@5Hk z@JV@O-SVyBkQbKM;WuSbf-x-tg@aMTZy9v>Jy|IHIbAl?t_&T%Dv$g$LmQscjBm=L zhME5Gs1*3q79D;dj~va+z&wK1>LTG*=4qr^faewX*vcUk3lrIS37l_PytB))0K-^j zQVfSEE|DW&i7Pmhm4>F_y)63>v)Qu8r#%+NPF08K234WGR_h-7e#T|Dbz5Cb5AW<1 zhnNyce5lDw7T)IcxESj`OK+c@SlJw1c2Bppn>ygF1>zpov9WAq=%&@r<^WuFIVvK- z8yEXWJ)NW_FT;mf-RyG>E)bJM*7;n?Na^)b>5pnP@E}tS2CY^>ghw}9cdRZR%rQwBeNMr75bXp$u^W5risKFvL`iVU1XkJ*HCAGZol^;st+^>V2Qodo8iOUoeOt`icwRFZ@KKB**hS z88hQW3Mzi_zApQ!4*SJVsW?@fhm{KGA1a29VxqLb7k`9v6ut#>tlEdLnSM)$lUYiL zDP4k0!m?6~H7)b03d-~Gc9F`jv+-vFR4p)Go*NGJS$P$<%cHie9#c{-Sh_d^b1e{6 zu|1p@zCw$S%X_&I9<{Dgi_glVCM&fe++SCo3&;KTni~ARycb>73FG`~kpoBXyIOGP zXf35P9qpTQQvOEXae*-nwLpV0f5o%ikI?cRu1LmrCp<_nZq zNP)p;YXr?5ZkSWyvUxSGP}2JdWY+GErB{&pRrdof3t_zWDlSw~?Ozx)o(HiF+H?c; z8)C2ZF%jj-h0p6!1;yIa2)8T2lAQvD8%(%|a^(WEekp2);`R4}=MDtT3GZx}6oK^6 z8L3mF9l?yHvk?X}3ZK_KM);iQ=2XK{^ajPm`JyZj!oWrnefGTQO|)u$-8|WF4}U<5 zza~z)CDqq1Quy1}1Xmg#YNqGbbpWQDa`ANXp`994C+ZSL;wX6wNb79`)6Wm3Ug*HPF6E zy)d}2f_qaX!ZoVk%69Gy)W`(?*?dXUteUf9rQ0CA@@xxX<&OlA&CuAk5;a4An=ynC ze$jRm_lNKu`EdYc62`W^kI`X>?O2Hp3$`7thLvyz>ykKcHwyfXCaH zpb6o8dpAOYh!LQyV>0kLYS&)!nZkdzON}Prt}{-!wyOrk&CJax0zqbH9lk}=(P3@_ zyx#dujo5#0KMF)QqoS9vX#XW_Mr53Uja?Vf44`hK!~m_`_calb^Ga4{t-{ffbVK-0 zo_A(lM?}J}t!?381wDm$`7>bO>v_XCpDkEUi6#Z))GV6rC?=y5N?d5%a+P!vpHNG={hc+Jjja{=Tp-9NTQ_a zdM=p^Ti7)6N|!#;30r(v|+E-vEuoG=sM9ftoD8#!kR%+{-I$^Qs?QkAVL3 zV)FjO`O3P0ZyR{`jA5IY`@*1caR&i!KaWQuMG>v+W$>%i3l&inoaj}f5je=FlILkY zn>;`3J*pX*7Y+0|wD^1o`|s=l_7V7l;}gn2Wj<(pLb&V9#CS@gPU9K;=`6LASEDJB zdP=08f=j%`Z%eiQ%el4}T|@r)X15+c37Mxe)%i&axogrDYl`F`$>fyq#7*8Qr{K{` zR-6(g3S3eY*;5F2RRKDtiYFrWp z1N<`j?+l+sOimp9k*0*Y4?ZymVC{e&Z;{CT*SKE>$V-Hu4t$IWxNnH`q%b*Dr9f{A ze?9VBMMmW+{~NhtHTfKPc@TdJxE)1yXd?XWSO&TU>fv$_9No?Fc`lupXpQAqrao;5^!kwiL7oF%M56@_{!_sSY@9(p^=np6y v#WjhTCegl0v~BXRDRh=PWR0RX79>|xwMADP?Lg1yq8_Ky?GV0wya@dda%!E8 delta 4146 zcmaJ^eNbH073bbvzOtm?E-VnTyWu0*-M0{Sw|s@=8!-WdX+lU)2ICS)9xp;50YWPT zG(?*&HXjEQ$Hdwh9VLUAn7mrl(IL>8+Gw3=ZOPQO#wtebOigF3F{Wmkp8Iz9?IY~& zANywCJ?HoPoqO)N=iYbxG!=nHjzvB_b>u?ig=qDYG$H~TG&SO#=qegB$w#+MTKIdQ zUb9K8()=e1+76||P-0aS|36;O--Zi$R_HaWX+s&@NVJkRFeMq(?IRCug^A>%mF*+h zDoHp3iTF%`Z?=zJJxM`m9L=!q-~T?m8h z$}-Uwv~zax&8$;IdwqG9cdi?yHzkS!|Kdyr7RL`5XvbnG*n5x(%Q{&k5R2F!-o z;~clCtEZpi;EtsOYvg0jnuKM{N68?m;^Ha1dN37!Zdph4aLk!wXyLiKlL5(i+zhM| zB*_lO6&H}5kOpvz=mq8nb3ZWYq<_lV!L9QVXQqcI;R=_lLQgoxRZ~F&KeZj98z?Jy zvO;Xkwh?WuPfSsEo*Wz5f`Mhr#d`6aT&%TlGp9Zn3M+?nhDKdkUmXl(%Pk~Bp;0g7 zmIgzyje#{oJfV^O_Mph$*v;e@p;0!6iPU1U95C#_-3-SZyXlOSFJFVGoB#8Pv{kUp z>5RF|GN%{bLAHC*b-_787ksIOqd$C4du@4U{c&Gs5hVGm?Q2{EUn{sq;oo`LgT<$R~PZ@4#tM6zK4#He{8l4WqVW=<=2e>M7GQuKeRVBKQ*&A1vF)J_X z-=V&`D(0_VFO&Fm^;M!yP@{aBZY}(_Mh7p}6w)*`)`SHj@7tXyq@ocioS(}S2{3Zs zWtxCKoL#3FU&%bNDS;z%jZw1<7UMJHxfKU*HKd83Z9GM2g<9%#3H4>PmZ@gLaD6d#3?mWw?NnwZic%6Wl+mCE8<4c`$u#-!}Jf`HG6f&)3yzC8fkH<%eHIcl*tyGw{Kw0ZcVGp zpX~NlIcp~PsO4>~Gt#>_iezJpWp@JCQqg^n%Sb1ze=w6e(azbE72`^6c=o}=WUEs8 z@v}04N$hEzq3RCQ_O4imSohFoLOUc%cz*|OU-82oV}v}34Bk#X;*KZd;#2MpqCP3( zPJ({txh3yk?mR$F!owXU==@yA7NVQEdxERfKzG&BOKf_UXo17BnP`Ga-5NNvtFXww zpQmoh(fS!e-d~u5cOElf-TfM!@lGRw*N|~o&EL{4-W@|bn7dr`Un~The27g4Bo`y$ z#jb6^aB)H|y%P>MB0O8NTu)K@!Y|pWik}DUHr5lk7D*Q?ZB&?$U{3|b$Z*xm6tRx` zCWn3NZ@AO_?H}n-L-@z?p=&C!`jK6P+M}=y7}NN*{5s(qbQ5miV}Lgcz8;+ug+1C> zBizDaH*dgzP54W1n`Az|&VA9S_BRhM%HL+(d@}nuNk#883?YIwhOX)?e^(!e{XOFu z_xs!fg|Ez!eBv}q2{HLE8uK->o}Yk~1*qrvX|U&g`JeG2kiro=}d zwGujo4mcTwVO;!l`1b@a_~#E6Q$w_r!{pI;wLaRLLzSS9hQYxs^ynIWS<8m+N@B*C zl@>8z;Mn;3O<7nkPK?b_iXM~iTz%ac!L;dxIA`6ImU;YJ_E*o0R0Sj`GOl|3HAeIp!X zk8RA*gpYxV*dBLxXaA3TJNL8iYk}b!B}}8_-zfPu4)CeW$_V)qiH!#@6>Gr~mB6;; Rz{JX3d-wMDi0%nH`9C=dry&3U diff --git a/doc/LectureNotes/_build/.doctrees/week35.doctree b/doc/LectureNotes/_build/.doctrees/week35.doctree index d3ba2378c7dab6c8ce76261e5542a04e5d633343..bac3699290c43e4b7443056e3fc01400d4140e17 100644 GIT binary patch delta 42041 zcmcJ&c|cUv`#Bt#^jGG8Z(fl~3`SW&wYszm?Fe4pi^y=4W@rkDNtpfbrq$bW@5s!YBcqD1a% ziE3hGF1z?3m}QVjHISF?-uWp;>$6cG@?}R9OeSMgh5X$S)hzqwQB{;r{_ccA$c2u` zR6a+{pWM3>iS2~uvP@rk+q2)WAp=H^FNU9q<49O5RHGt|{|p^lVodBRIrispj(cidkKv{;l1}Pqb`k{DoatJaTCup+P zb()INHbhao-%d2?a)1c44ew#7y#U5Q!X#9$>|nt#L#F^{D7gV->iH#;-Ua*0D&{L{JyjxDilWdEA%B(Mxg3s^avDz`v#C{2Ssx^LL;W4K=SJd z^aMj&WyGUQqg2IhjvWGc^|D5yNW*e2%(4L1(8f)18jLU^Uyeiv@rD4hbd->3?5O3s zh}<28>KOKLBD(@e&M%VLXM%=eG@QdnBOio6fC@j8GmRUyY!{Iq$DqCF1g&;3H~zB$ zEAA>*<0mTeL;(5il;}@tj74?Gz;VcqAtfIvW*r9V#WeogIMe}8|B+;jM+*#3xM+_- zH0qW2?x-XmI=v>K9S9o&nbVz_h=Op{K&o@oeGO#@B<4w|37|-Rij;~YJt1ySLWPvh z?w&DZ>SPp+Q#_%5nT$dx3Ss~ymoNo6wA->vOg@czM2%xP+jFHJL#H%rHvkqW%I{0CPnm z%tJj4)v7aJ^sCOzBYdE$jVjL7^UxNA!>VgBIkr0S9g3|!8Y+yOn~(A-hzgbNA^*z- z5VKjn%Qmt($fzSyoqX9}hyxVaJqH|F%c(+4i;xW!Ih!s*X9YZ_Itg>&aMEZQs_8X~ zi#~$%U53*AhS9s&HkJiy1%{Aa%TT7l!C_UZlkACd5D6$lm+;E!ET&amj$-io>g3cA z2=SSF)sic#lcn|Ka0-K81{;rDTo>Rqnr+V4l@Br*sLP96XQCfvo zPLyksjVsY00h*1ssg0ll!*!q!9r4euHtmP1x;^11=UIYAA$*^=Y0+vFjGt6z{p_s7k5ZxC`F%2WEy_{h@gCrPUgB`-*OV#BprE*A z*-hadEA+3l?mV*&DG2wiLG8t}+I!XTr1p|%RaxC@cvAaME;~BB z9<}wFQiExF60J= z{R*m2LD1BVbQ%8xr8%Fxf+U16x%4`U@aSRB$|*@NwM4Qw#4KlyDiC_ zn&Q2D^yKA^cOif7$bR{b_uwDL0eX3#UR2@-;clMe5M1Xne7OeFNgq&?8|oKi>1)W} z-9&%?rzWbg6?HMB)nwLdugOL&={Hq%{0|y|T-%ENLhYa525oBU-Ob$wr>pw8V^d2i z4L98X+cxOhU94282edAy*dR*NmkLjSc{ zY_`-y2B6KCl9=Mnz>r~2WHc<6BwB!`S`)4IBpU-;Q&Vi#WR_}6F{fHNVRMotH8IJ; zNF>^lQc5jJsf`!mPD)9%nHf1V7*MK>i;r(2!~~ zGuFx06pJ;Pi3t{LOW}I4+AU^lN;0oWQc6lnD(9D+1nEo)OLB_YVq^NWB_$_W?TiEn zk!rJXfs$>diB=oeh6Q+A?JV7vYO^G!a2h~1IgvMn)e4GXRZWE8We#POL3%S#WMY_8 zQ&TK5jNWLv5g__(T)oRpNr#IU3!+mbC@ zA}grN%3C`z(PBa3Pz8>a!)&*hHHxCB??%fd&H$rzTgLXaN=4T#aot zCqb(*G40?x$=tfkNlD;I+`23_uqsZ@4m`{ZoNP`6F&S&{TF@LnrLU$vjABeZz!;Q@E@+XWN;~~nb#ya39N{%8V%El`ijdkSh z{b*phLjI(S6TMU}$&bXn4a*ap5&fa0e|;OKGw}cJQNg6aJ1{rA25crGtB;=g>UU72 z8}tJOJ@No*_%14{K>Wvd(ONBuWZaki$=>%+Hcg}J86gKy2Cg0Cp+4(qPI*ZK-`5jk z!ry!!Ed&$^n<<-(n!pPng|3Kw_5m789v(*tWY|G8(5q_@>uNibQ=honp~1brYCCj< z+|m6!%qTpM5}oOXP?;BUP-313JOx3XI$JzflM)&a84#r)$}kYb>=cNSslB{AmE^;kF{~u#TD<9q)du~e z9fGhKygt>eWw-Cx9P)upa&ofO3<1VwvqR_Y-D%*+QSP#dW}5~2u%4C_t34&jmFFsG zf%uwiwOF9HwwP_^q~w3)zt3@Borb3bc^Z@r2=d^*9cf}sGWR$dE`U{V_pSRmnhh(_ zs=e5&?o?av_2=1($4Q0L^aY9+(c$Nt%LnDm#XSQJ|3+o_o~ttD$NR4b@hNraX>=3+ z5JW>nO%nALtlj?X@+->|mBbHZ(^qIbgH^_LNRuC2{q6pGETxNwt{QnQO7d4f5sTMKx`q~4NP2t?A~!Ikji95LKyn^|@Dr}1qiq$EmfQ!;K{o9xe!LHs zGK@@n0Lvgf+N!P5mNfnY7GeQ}<^~h;2MR?qD2T3WnDn?{a=Q~O8MX~3r$WF*(jTCv zXr%{o9{>X?-~-eMz407MbcwHmsGt0azN?UQ?jiKHyvFp0*6}6SucQCdHq#0Bl(tzP z@~#0VkRKnR5$HN?rzn!`jeXEn=Zwc_I5wvQ&DT9V^## zl_M`;>11x)8#{+vh>hV&|Pbz42XyZ-+3; zEi~d(^nkK4lfJbf|2Fy2h#S*vx^#D&WSa1C*B$+#hSK5%e6T`Nqsn-9g{0^zxOs)7 zSF7N|S`sm5!hXeRUtE_Q^Tk%kAUR>6?ep*p`(v-QuZl5hL4FIyL8QnZjG{wr-UCcp zt(sE{a>XB);uf`;v@OWoYS8%nj{Z<-9RYZ4g``G-cus|+r-6DDHHT{COm)1t0_>$4 z|0vnBCNu`{qHd#;>^wPK6L%raVxTcv1mP}*eYII*?5)i=wGOFu*ya2-2nS;5f1#>f z@n^1D&eRZx$?Oo^8UQClaBuvhC%}-}cr!lC)o|Ep4F%(YTej_G)CldW&9)|A3B#{p z6w0@~u4#hQ=AFlma9oVAZz!zThmf=goP=wJvL)b6FI01PG`?hK1k@Wq)T-}C;QBb; z186`b-ohxs2>xbY9DPPGCUCWb4daAYDud)4amd2vBCB(g?iw%d=bS)`ri;fG#0r{iyVIkAG*oMb>+g)ps zx@Acn4OoDD?iwd)(geSi=_+2KjB!BG$l*is$M@m9zJ*%25t<~9?^!YdIdYwIGjODL z`~P2I{w?8Z&dTj@x>v)05+3-k7GG1y!A@9mFOlmS=wzs;!T$bG4}<-pP&R0Gj?2Sy z5rUn`F4$~3Jwt74$Y&GC+%C8m-eV)XyWo*HF^pUO>w#QtP{Z%pv|Fuv89(FeyuSLu?0C#M>L!$dbr&%eSjW;TVlNtkX3BA3PT#LLu05`%_!^;la5=h`c+}Gr<6$B_7 zy}|FPg~;rq<=mnA*@ff6`Bv*72)DLy7Lx-tP#mdUfI+@+dIltftSrF6xRnRg{Q?+E z0V#-G>AK=~Xoa2^yF5=E*A(Je2o;b}2ll+qFd$qXx!ilO;Vo5N<&%vLT)o0R(VZ|p zZc=#(&hvbE5g$Vc6`AzIeV$J}ak^fv#Ylxk9bdv2e8={+nR# zj+m~!CXboMpy2cXkKzEcYb{?)S z3`BTJ9X^c-Ryho0(i5yhVyh?- zi&s!&WqTp<(#I_Q=(L85J zg3t!zH4$v=v4$*66#CFRdIsoC&TOVxHKjFVs#)meLen2QZws&pYs)7&f3XNnQTa47 z$O`ShCW6g$NN{_~oLp)s_&Fa~1%&ZMCIS7Sov%Gb$iTNFSm*mjicn~JQ4``~1PS$* zYB4CV&rTI$;D6qfawNBHJ)Bgr3&nc+uq@@Y3on&R@^da|AOxcFY27TIv6v@=~Nn;@& za(r6~W}~i*ODPkY2=@^#j%3YJOv*Baovu6jL)AX9sW7oZQvGJa>IzAyxiF_f(&6U9 z=n6^0S_m6qyhvp+t9i$ZvaJ*0QbHK>iR@Abts*Sws zw6zk7Fh0&@Kkhu*Mo2@hTlzzVPiZIYMaLP#^yRv;l=8nD*>r0!C?dK?W$`?+xf7}H z9^6afn@UxIZ$uw`DLr9GxNqNG^fGAo9DpnYsRT!HEJ4DT)rZMDpo=}5)ohKwAJIU!K#QV8y z=q-(26lvXAh;os`QFWR6UhgdIrvKAes>24<<;P*)>>?C+_2y#sq=e(jh98lPZ);Qo z$cTI)&^fHD5Qbp;32KsQI`V~92~NoQdpDsi@|wgcO;9PBPT$u^R= znxUl>YBiqGU~|dRUcy4iXIhy{n)ZhNg5Tk}b?G7MVC>jMzUVCk!7-+PmX7Ho%+l~o z3D^1vMQ(YdpcWeCyi+8kA~=r<5;en%Sba@a4KOQ;&GR@Q zf@~inz=2y&C^l=F6~&_3EV6!xkl`kJfGbf?lng2snqojxGuLH|iXy%j#p)}E3hVIK ztcJ!+xrSSZqgIv({ws$GX2UgJp{t-fcJe=7!$h&=wS~hVy#F3W4u2zO`gGEADFxyj zF2s9D(M%@-2^#}r+$I~4Y@Dd!IF%+Ngb~;`nzp5J`X((GsLc1O!wJCT6bLXcT=uC3 zAty_ODY!l_yXiMAgGoRSq0*zGyragf*)w*&C5=TL&-JVl9(n!l?RPK!uZlGQy zrxa{yXkQ2=gD5Gh@$^6y*o)+kfea0#uqK4ZA}G?NM@ADfQW9{lXx1pYoKakqWn+bF zcv&>r{f?CBvq0s*8ikx6CmchYm?&izCe%jTxFq-Xs<=%gYyvnI$B@DaLVxsu2as{1 z@HO7VWzd!8GB}eb3H1;@%k_c3SBZ}zyCw_01TbuF^=VVUNbYm}-izi|Ulj+rm3xQ0 zHbrPm=PMN4Z<^ZkWQSx|^un!$2yB9+Te3X2>SlEb$Fg;7}T9eSJ z%n<8oW_%~c!_0V33}2Itw2O5Sw#TxL#!iMe5ZA&TeeR`}xQJG2(O_I1w~b{T_jJEn zZlAZ4*=b^bT97({E@KbLZY%mb(;AA?G49Xl_9vGciDzAR@Wb~ee{U=<(bCvRhSavoxXllgOrG>k0&(HdX?8k=i7*hZ2eRc_`Pc znOIEA(GFBc5VXXe3KN=(XALJ~na`ex<-O!Wjqjcq)=Rc+CAKD|EyUUQd@SFIYM|=N zO{uV@ILGiSr*z9jX;Z!q=BD%|eiX|ez?!Se<>E|kEw=YE)??y$lij^U)?u2C?9?F{ zow{wr?@8ZmQ6!t6$xVE|(ejUw`+I#*|3lKMV7d_LelyU;<|E4 z8_V7KleC-)0Dof16$43ht{4GO{`l4tO$-PS^yt{jx#AQ7LK=;CwMnCn;t<0GUcGVk zSiB=?d7=**O|EtnCy?S{Vggy%Nh~##anMo@^2hCh-S)W%a^RV{oET@{E}{WByLJ}+ z;5k#KEOK%nmW_HWSL^#-#m9I@J=TkT)>^4U&y@5Mtwvdc?jQ}iizyUDEk&2Hs2)@J z$KA!d_+&kDxHCL{H&Q1J=TNh!xDs6?yL*c1=mu}N4I3n5_!<>?k;L^9VVcgR*h%}+ zCtQkhpu4@qcPNNTq03lQkMsGvw^-~|J&qX&40HR4W>bX5gUjmtsE^nM;fOfsb~BBK zRSDcQO7q1GuVhZc%4uX?*P&Q_YxNVq!!Sspi(M!bC(~l|bii;jtw9n2zjfu_!C1MSP%p`2I7|Wl4Y!FYTwTH(G|5CALQZ!0*a!@XA z&-0DC{CK`SWR7Q+yhqCcF=RVbWf;bWFV%061dM+Bj z6HlL4^%<%Hcaeb;#dy3co<%ub1|uCv4()?Dd~>4s2RhA}+=J)mUGv#u7n7!w#rB3P zyn>fO1uGS^&-)sRwG6p6SzL{N<20&X(Q;ihu1^t1!qFyX1eFqa^M?C`s;tO{Qn9sg zBoq!G(BlSyQ^h<(5Qo=*<816fc8dxRaK1KG?1o`o1!zW2y9Pa z`h_F=Zt77abf&mdL;Eg=p2TaGxVA#l`B~z+3Q2ori=;x*^f{nV;00lhJli7r;D7|y z7)~@-?2gbFF4Gt?b)J}{-7%iG=7}pRB)$8h_ymt()J$ob$Znd31tP4>Z{RdHkdX_; zE!rKUnX?FnCmT3{CgljQm7Tha#lCPxC4nA8Dl=^yia$%>i>%Ew>|xS=sn{3}zA$Yb zCcBq{wW@cF3t1+XRY>YzCeACDlup^u;IAVM^N&zHjoQLz8Y&EiXdUAI}xz}xD>`gt_zdq}J%1ULqf z&{xDyE07M~B5s2uu5(R{y!y2Ja)!Su+7UicpZ9}PwK_pH>5CCQcuo8iA$UBUR^}S7 zOuyGu*pDRW4RH?sku@2>j=dp%>AIsobRGE1ZQ^DviR9Ok{K=bdik&&pU=q4rj7QbT zh<9MTQjYSX?P6Q4Afr`vhq#j_(H7HT^IXFE?G)cbD23eJBL_>_$esB*u|0?~56R2b4&F<9;G{kY%;P+@bX@`RaXf3&v))=j3Ci zE@4`(<->VL(?L3@2LKEcbUAm)`v=7taP&0ekl4U$Q&S)r;J8a>91?q>B$jB{>`F{z z_T1pG*a4wTniW>IPpyg=oWIxrjKCQnrmj=!T>WL z2sqS2xuo=C7-i*}>9!z$&%js?GU`BPer}G_q{OJ@e}7EOr~lJYUH4DK0=&!vb^NJV z&n1hy+@MckN(bfW2Hg%1MG8I>->Fcf+i|fu6wze-jF$`0%cwKe?9avOq~+%@wV`~V zh4*McP!pRvzW=$nzUohAUP{~5AVa?pQ}Hcm#3pg>&5XCT(m#=FUx*j*Pn@hS<1T9; z67;2b6U!Fn07sUpYIZX%Iw{_RgI0IH2M^vA3NO!@eM*dmnboPUAUvFYTg3;EJEz1E zfXqJ)!PY|a2Yq7Cm2;~;wa9FtcU%sHqTHyTdYie=hc(s@hPUAeUXsB`I z>9=AL9%o^JXB=7ZotQ@N=w9j7@5BtWjuwH%k8@%pW4Ur`&WR~*;&;x8#b^&BZqkD+ zya%E5XiWZI4C5tsp-(+Xa``+MrAu6(Sc|khD^?~ozZWC;f9<~)E2Hxs3V!zkL?&0k zx<870(H&2sur*9xQC35cXygT$0gbcpLu#5*3P_cU;(lBOd>sy{8Rc-dFBe$2k;YsS zCmX_(nCe55*s#->phK}a8VoxtlaSexLaJYeW=%-qv)nu#j#GPj85RK=B{9!ynZ$bT z@JTAF5vhMgTo3u=aGaEbyEA}E4@fG@z7nfXDX=gBc3p)&aA*=3eWr14TaJRSle%Wm?&DgJc9d~P;B zL=f}{0u1#;oNOf-X2I&Cm5Cs??~AisMR0_bxy-gd#9r)waL2k2#0e098O2=k(E~9Z z=UVAwJ7rUA%Ea=g*wQpgN6yN9&qc`jCoG}31bFsHtcOQ&0gUBJG?|0q+$bjI91mhP z{tLnaubErScm5Jv@^U@#W)DSPegxrC&walq?(Fb|OWt*l-4r1rzo6Lg7oJMcGoWs| zhqg#Ie37F9^tIB3<33NI1M2)ljHn?0-X{=1xO^+0!Z_@24|N#&6qbKnb@+0yR1a6S zu_i39LFx(>h;MxcJ$(ci2|eJX3Fc>|PP(G5v=JxTn5|DAq#2NvhlW@rEj47?n4L9& zlfJOsXk4~XgYCysU5vAM`Au(W8Lsm4L}>=*tPIr# zPw)g_4&K|w`iS0Si7d6paL0OZjgX&bk0N{=qT?k$DjZ#;m!e55EBXSA0120$b# z^pX0oa^T}S#vnNxqSY`;egb|7bYTpHl9_z(YVtiKhbl{Unor}&LtDl7F;(|a;v=%c_LqXuLoVY|F)sB`Ag-De;|7ha2B2jgKpNHN6iXi+851BS;nzK2e+ht-y5E%d}v`STermP~~oc%aqS28|13SS&l`i41Eu zAVb}KGI1nJVTM_$tUsjO=_@j+o8p@uhzF!dt$BUy_^F3{s7Sow4Lz}X)cJ5_JB$4K z>X27bAui}^6Yc>7wW;gvIH{)?LfBZr%Fre~Nsyinn}H@ZV*2Q+`~Ou9q#E>p+Pj@> z0KHoW54`H9Ny8|Jc1124XVauFSUHG6I!*&pcz}4&P-;vT3yC5`@Hp+O3{rP7X7TWb^7u*NwFK4SPU!=0|*@X%ZJUs8^ zTF!~hr3Cc9JV>vT@)f(M;{q?*JscMpZ>PrvYC1n{DRss8n4OI%PV#2FH&(6pF|w}> z4A72|Q|%yz9V5NkO0T)@Xd!AC>FuCr-~dSCCjq?MOG~sg2K%Z#jBFsEj+{t#77U*h z;@b(jnR48=XMsnk#8|=l9rW~B(&G*=W&!rFV*&de|D;kY2jYEsD${eM@w5o-{&XBc z4Xkf!p9|h|I)+@DEWraExl&t0_Xf=Rx;Ef*C%j(ONgm1UD6PPQ8nEE|M@K0LRzR5$ zq6Qj7aym(2ZqSlW0GjRrbgL7LTU?Zq@&L5L188xclt)4IG5%+HQVi^10z0;@V=TvV zP-hsO4r;)c+u!XB3Wrj(#yV6UREVzj4elaMg0smDSc3%5q_ySmtwtS}&ssiBeJ5mq z;|v!`(JFVG^y>y){qY7Y=p83lx=Gtzck~Cn=}(S#mzL|2sG+Rt0fQM{hW@agv8Pm< z{!eAp(FYmXj^uYer8tDEq%k&CNNjIl!|&)1B~Yag5P<(F0h1;m5Ma$Zt&fyPE=-1q zBKDQ~8ycmtHf@;3+qCM(YMa`foBB!yWN60`ZPNHm#$Shk*ZRN!UF;_vfOknB?kDBq z{4^GZ12j-q(y6~>=lQ`jup0P_P)9MONsmlpYa+T7JC#ZbaC*hbGY~1>EgPK6x% zboExMqBJ@IGlt*RBh35e1Iqjc?J9e$M)$xPF-84>4( zBFP`2{j^rGB(W;I=HVc(T5dlTx}UTfEERDOt6DvL+5;$Uh?M3AZ7-2br1-k%ONKv{ ztB?!*lo#OL%ixDsJrsPgSgPkPxT{bxk&DGr9De8l*?y?h$Bq1KD0sRL2^#^!DZQ|1 zyzko2EW@bFvGW?gF$}^PyoGqb-_g-v&G6V7s~;P4uI4m4YxP?~9Al+!ZqU##l*d7>&_NIR zvEyM-=HkSNob~`h6QuV5M5Q(9sN2)nI-u`FX(_(hke^1Lre>f(B8`so6aIYbUJ^-!C93|BpE+N`Wh!g z27QNdaj6uG8*^qeHB>VBwiK2YlGC+ucP;~&^q_R++Paj;bY9JA(mp&Wou4FosG)^c2xjaeZ54w2#1 zDk;-cHAOAwu59T-=?re@;!&~)cr@&Q#ifu?PEP@55hK*P!){x9w44oLiqea=i z@9-s3XPQPet}6;`m<3l~Dy0e2&qnfz^R%T>FR#gsm>o}~qPZSKvdmI>jw3aeNzd@S zMr`wL8JEeb<!f>dhHB|vu&OFALu7=bwLrr-O5+qpUVT}bfx{ZJ z1yvs{gR8(fWj(}Z+_W)YQf;M5=&sB!8>E+D2cEHDn_@k=n9GK#(2k9{nmaaTEvUID~_LB#1u)zY8rNcI@WueV9vTt(;)9rYEwDUE;;04oQ(p*D2IL%AW_VF{eGa+f=~T}oHW!J0j)M0|Ha z(gEe#dsi_vr96&d2iSS|69tGaJp6RqCzTpjH(_=_n(%@2WsBNg%ZcB9SoYb{giX$N@H$@6 z^0$z_PN^m2^DRv+V>vl>KnisJ?UeQ+e5?r%>)kZEO?dn%{Y0{nmhVa%@YyD8g$hpJ zvNpuiRP0$Y@jY1VbOV0(02p)t7G%#hVU^XDTMI}XD@9e`_-OgSY5kS0IK z`*2|fgquv`162lhg&Kb--NWN3qk80^QSl|iK7!HkG|n|tsgRu z#_8{awasKpJA=5`^` zk?MnSE&UOeCxKdpk9SP=P(nT{Eo9J4*e2d{7Pj`5ctF+o7K|JC(zWTi-@*WOvj@%?{|!Rx&A0YYCg>EY+*57HLxZrTNys(<<;EF7r- zNZMKM&Yu)rl-|K#G7jX$Yq0sSobKM;S{W)gWwFlGl*KyJo&;6H z-c6l5E=%6X5X>P#P5D^$Ej@&VEvN4l8dhSOvg%rzG85Xb!D7hwSHbI`-}o8kr7^_z zGc2>Icjy{KGbl?Vv#yXgL4q9MeDj)=ig2%{%;k>c>7*lfXA1tWwYni8!!Ryku}i|! zlk_lltZCyf(l*0n4x7kf#xpt?V@A^Y!FxyNK{h<(XxywL;v8{Hs*KTUUW3(S%denr z^$u#_PZr*hR+LY2_V`Vzf$(ZpHPgM%boBVh_v5=#M*%d>yPlT!q{)VpT*MQ+IgI$8 zTIjg***%z?!2ukm#q-V)e}GQ$c}`u_0h{u^JZ>72||PG-YALH1ds0XdllNIrlTaWc94v|N`s z-LTx>YXhhAGNV&A^^xpzUIRLzS_3f2t|E)%{u2ov7!l%im10rv6G=XV@quP+V7A!{ zRx6HjTJ(XN>9H#Q0P!}+b^x-^jKRm>n0Ctn4jbe?RS!^s%0FFc@s?B3FSLOAbY;16 z+q~tE&;c^SN3H`uD}3Z_+Fec+c$w>Xqa05;gDC}*w72BCxJq;0UFhYDGs%r zc_ujz*J;j<2fgru49`*Pkv(33YN`wwi}zoU*H%cnTv={OzO5{GDwn>w+#S5U+*hsw zN$I|Fcig=>>n==sX3YrO_;V?^T2fYp)2SM zYRPjDe%74zbLJ2k_CH(jW3ua2>@)ILh`gAB==R_Cz5cQrxI+rhN2);?9pg#BOrgE(;O~eK&TV(jga9z7ayyFZEMbB;K&I1 zCp@49bE@7m)H0Nio1^)9G@63TwLdb-@6Z<&a%<<#k?VEm)&1 zr99p5>-SG^yYnLF+$gyX!s|KD+tG4Qyw%0?iUwQXf}5iYb}UA2gAZ_+Q4b>>V&NDD zps0S=lf|)eF}uttY1nurW{dWW1NAiAxT* zl>MCx>dTc8uGEsXH5~nnDcePAk>Njx-YXlz(sp&T`~qD~XaKzi?ynZE)RGjM!QJ4O z9T?(!)-YW60BmHDhfoG|yA<#zEwaT`E)~w%dnhm^Np7bVU4D&~hH?gFOZVu}5f1>$kUkpy*n!zJAaR)&phFYb@VTaHUo>co=i*)>qA+s;ZZvYAdGaDy{fFQ@{2)04qPC zmF%nF5LVt)GD^z^+occK{@OvFC|vf3Cxqxgbyc?9%8=};mPBg$!guOi!hPHs$Zhr{oV|-Y5v1DCRSqfJ|79$8GF~RV zFs*p_ba5HpRj$tqw8AGmf$3pV%9qC1Y2Dyl#U&3Y*1kF>$t0}1e97=9SN0#R_>lia zO^wN|=<>9)cMlL33$58C&gY2M7__{fGp(2WJ;HviHDAHCS~Kl#x}jqI$c8>(+J3E> zlfaLA%!rdbU|08*+fyuExI+05K3cSPO$zlCN94-`brflHRPF~Y1O;iQ)c>D^SN4~i zS12*1KZH>is{{SzR9xzbm1TfDxf@J@ubY+uz#5$&ch#?DbyL9C9aN`dWBwi9Rzb43_PNN^MwBdfJ+gwvMEz zDtPQ1J6L`jV`Cd;iN-c0Z>YROyJcS8aG1QdT#`TOKO9D;U57)&RZCK+^XK7me^_N} zqgg-9f|gE|37cVWK<>;l-@^p;P~B67=2t4u1HVpUacwCG>`V z(AQ^{s-nka*A#gV-qnW1rOBl*p?QZkwb}Ty2HHigltNf?f#^7tS~7r4dQcla33eUga{cN|pDxQVe&>R*v9DKK z9x(4~uxI3x8FCkjq86vi_*HBA|Jvdf&y=rW9Nm^#Ts2SMQH>iW=bLDLOKQt|OFw#lckeE0ABN&CZ^$?7HZNp!q{K0&Ap&_4EF2K>J zEguwBeXLgdSF&UQ3{CF6Nt<@NVFCw^Ys*@-L3p^?9jiw}&c8Vt7`RCOL%|FFLyOGQ zw}?9gSX!$bXa7HG5eNZY4;v~~f)544_ovvEUdRC(uI;Qrq@z|6^0j( zLg}^87y&&NAC|r@&lkX2c%Rqi4SBpFz8$l;c7{ z-y#2i2e)(2dcsKJPS^^^yW~tfsvXstspP6!25|IQI$a9q=KN}x+yUXa?bw84y3ykH zh-k{>7rd$+AE9q-NAml?>&cT;z$)_HUI?22&<6T%aa5cRMfK$Bi5H+4ZBLlqfYYu5 zHG$HXX(e281?-c5K==zT*QV|&TPBx3>Fkv28!qrh_@NyiOz)Ydp=i6np}0#JY5Fp8isWJ|^Ms%NyX!f;6L=K0~cqS^oZ7 zB>Dr{pOPB!YB1^X0W7LTdLZ@N2XZ@@oix)}F6T3{mO3 zB$@r0d=8zXk_rd-8=uPs0LuA7Zh;M1%(3)D+Lw)R zCg5{iLS04yRWX=g&l9l1hr_ej+Q+*pbC-lIPC=tsvsj~8vbY^*UeZvkn&iSM`77Ln zl7K}4FKan{pF!E=@EJK5cjL14tFPu~XR&QjH(-b-0NoYE*;&jBbwxq?Q$(skzWZAK z8P8&zO(mUG%8Gi$ViiVKhE z(8HSQZZ~#v;bv<19a&`92`QW7bMa@M0QAX90DOH;E^^bQr)%&f1~%%ck$d06^7)P| z*7?8>oxwWJ%Yz|_e@jT?ye^9cVr>^(=)m_>U(qU)#TRqC{wO;z9Q8PS9a^AP2R;)& zuEP9C=S#93@-wc(+P@!p>k>?07@8jg!l@pL9KQ_fQM?HD>%atU`x9u6m1B=l;Z7ck zy>LZt?4>L$z!m;1FD#D>sn}+#Jrvt}O<#-&KmIza z4^z=TR>ZVPr=kvgcn&qCJ%KJ~T^8@oKfVFO1{l~g9e&}=zA3}@+!q}FhDOK@KYL3? z2;NrA;8)3$+ptP;m7}-o(X5Sk{t7daCmr~)#CvMH0WG#xfA|h8D`8VM>&pYO$?gvz zKGm?f9nh3b=HG)25BOzcl^9QmwBI2-0|~l93&3f=%WHJE@Nw1w^p>tXxA#=M!5=Wj zR*RSI{>Gnt_y_dykVN;ui#(Ni?}6OVO>~kcz`=Nh3gecEeXi{KpRnZYl4O;qLT4Y! zjVc!E@RwHTEl-8m<_)C^ZF@x194MG|Q9B>WnZoqR@TebMPN@A@?kAkhu2h!4DO5XE zf-h#5U9yM49N&1liK_dvBQntD7=nsvgRvE4kGA%*J0e5T{W;L;*M1lgrnt ztEIRta4@BD9Uo!kAfz|ca#%q!G)!56Pvx?x>(gJ$rRDsb1H+X)2ws55)P9NTyF30B zXhH1tc~J#lB4;C%c^V8z~A57TGYJxq0a-yKQ zRrZYT_9$?bOI(*af`hppCPyoq5q-!b7LJsk-mQwr^x*HD5vz1ZxI;%~{~ZX9Q_@if z(j-n+Q~5=4(((u(Lo$rbaT&>uM5Tw<){e}!UM0R}#caY+scM7rdJZ&$%cHkAjjCB% zHn*9AB;`A=k2#GG84Y9j=!&4#R%I%@_mFXj(B--e!=|hT)l(r&mY1}$@MsL3&^VHn zjsloG?=5a7D+9fra(;i)GOk_Y%%f_-znt?^px)TK6Q9QVbz<({OhZ7GjkjS*hKD^!xIiuD(-5Lw(*8H=|-Y1rPPuZzMvIM?ZYROlA6rWtf@TRQRQ zn-6;cbZo8+V^lx}T}dtj32dR{<8z((sCu?a*Db>LEtHn{7objGmobK9v{Zud@0`h| z?JD{gvaY3)12`5qbs26lO+XGk7jVm_ire3PZLE=Ojn2QuqAfI((6Nlm)aZc+MX zD{BpFsTKkptD!g@W_+kIaaE{GjsoWxUd!W;-h?-Bo3e|F^V3}LYIsdDs}Y-l9m=C` zMK!ioq0T(s&%rNU>euA}5jLV2mZ!k0!oSU9p7bpV=&JNb-|9&I0=l3FGc=mtlK5^) zYpuwL?$8J9>;~PSN(GV@b1Kbn<<9>kFuR8mUk>e0ZuL;cx*0PUuIHiLv!2RdP>!7l zDPI@11lguHj1_RR&U{?onMIvnG{Kv7<_EExIlJ^#s!<>x`wZ}eq$hPyGvYfKw5Fr+ zmlNVsD7^ikGhc@puB!Ska>GGjufOF*lVsN# zM|J{~Tr5!b;BB2*D1+I$9lyn-Glu`HLbs9FB4~hZF7c0f04NS6k5ZwduXDV5dIC_A zzFBA+tDZ@h16ILe{*z7c_~-D!N*|ngl$;u@Og22@^?K5o4}mPEG`BfEBJ+kQqp?pH z;1)tcij^en--YTv(5iuay69Z~RIyTz_|$~K!s%i#1X>bi1UmGi&TO98X(-r4Jjs|0 z9aE-NV+bnBP$s|Po*Z>`%3u}?_layoV0dJ9# z*R|qZShq|zPgVvRyt*<@a#ucpJ*h)68mpGWtJyxArc`sznWA6>Cv)#kg9cvqrw+); z-6~ar40SoV2u2RZwIL1NhIf|9XK;lPM8J5R5*UW2*zqhwBl!73b->% zxnUT`B_89F_~U=T_I{V-KzL?XcBu57xk_)muqzxY?QUxGiH4mC?^RZMP!zS?nJZs} zSip*m#oH*lMcIZF{};-Y=vsCtr3ISFq%-PBoh2LQD?J2gZ*>e;nG`Khf=IO#C4l}H z>Gc&C`V>{8%RWw*sp>i5{B(g5gYbo}urpkfys!x7d)K>?`~&b+Sq*i8j98@9M;Ewy z&S)7Yy0YodAB&Wa;2V0~_zeGDje1w!Qo&0V__%7-Zt6G=1(Cz66nfCWc<+)5uSz~$ zraY!NYW}(m7n>T(6?huK+Ko^04e4%sIl*Gmmq*qAm}Dnqri1T;@2t9 z@V;(rcgy&@N*`3iLh9m|mD&RSs2j7)&o?S@@YZ~gCx*QgFnW^`YAmVQ$gR(hNT*Fo z7mB95bQwU+-HR0C(`C*fo0Td83UN+;RXHJ4w%V4v-d-W5z-b9`?hPfHOn(Ea1TIQ{ zx{*U~C^6X49TuSAd)3>ZHM^2J+Z3DFr8|5R1rq$RqllDjQ)1W$Xyy@j4z5GBg^J>CnHod@Sg(^AP)61*$vYB4$)q+bjy*#Fu zhxBqe7%ms+<+~8Ld_ynWYs2LYdKpANDBeG`6t1!G&0|Ltz1*Ug8}#B=2QF3U#X&Cx z^fEgFE;H!G318TAyhSg5@clYR6?z!~Uj%aurI%aLaJfM*JK=*ojyLJ0q#j&`(aU^# znM*Iv;wn`tb^HxihXdYU?7@$1 zdD3B`m;4mC^rn|FcDRhBm)r($=|C^ZX>duRmvDIA+fkcdM#HnsjuLuVS_;n@Iu_B3 z(iAQty?jD1AJNNJI34cTLND{-$gyKCy(GaIF-Ic3JcJ`bjz8$-CLGmpT&I_kws09n zFOjh6=Ln~l0kBc#$fuVzu;bw%^l~a2E+?`pb*SVhgtZgLKzexqGgQa#^ztVRTpai5 zQX;~`nI17iIQ^1%+JKC`VX zW>;Cvrm~nlWieaIVs@0pY$%J_PZqPCEM_-Z%x1Efy<{<4$zo=b#Y`lNnMW2gjVxvs zSnF1h7!346H4P>$Q&th$##o8STLu*3;Xz480)LE>Vvse>nvF6QUO`FA< z6)@16S*$s;SW{-PX3TOdg~rQbt(V1GE{nAq@M_VAX3*x!VojCBnh8XK*2!Yc1I(aR zvRJcZu_no4t&zoAB8#;`7HfelrhO0*l%6%Zum;uj@1)HxWpOF<-LL$iMVRlVQCGf4 zy|@FtFfV>c|6^WUg}O5H;-Bb$%!}bmZZ0qGNL`tE@$2+I=EVurm6;bmrT;N6zDk{% zdGYxW>cIV}FYlsW&AhmX-ZC$ar>@Mrn102ZdolfLH230S`XBS+dDN+y7r#rLnt5>m zb!z6tqo`9eFTMjU%DtF=;fr~3sbe(tW#+~73p(73F*Gjs;$r$A^Wp&N)XaxXyqLa_i+gb%b!z6tcIwn6rPPfhsaG>E9!GDP7cZwy z&Aix~x-#?P%}yUQ7>RaWAF^f4CP%Q>SKLT+qH! zGv>yX9P6l8GcP_vU7LCFVCvM&i~pid&Aj+gXZVkK@mcEB)QcS_oHh0;Y3Tn0yg!V= delta 42171 zcmcJ&34Be*`#)~xY`Jo;B_bgal30>R#Jx8+n+Otugha#=Taeh|T4Ud1Uy53Sv6P~= z7A0tJTdl2H-PF>m(xOyrs}@}p)&8HEIrp5CxcdEke&7Gs%j?{nnfLR|v(C(!Gv}Or zcWZxnv$i;0T3M-7{P+=yE&2RWlutzP_yNI%`QrwxC{*%R6joitic8*oJQ5X<4ZbL( zBG?SU#(Ls~7dW8z0XLNN^^(k&(4*jiCg~IT{2q=nlP3VCt zV%)TP$+C5!s43ar3+>j=kQ4cm#d&B5Et=7^7P-<}NyfR=OKh$fb3L6+Q?jBr7)Im5 z=*)f4nsP;#`=DjC2+VCUkVjT0XHsN8*YUn+2F5e1m)yUT>K#~F6OwEi26F7^hlptf zS7mv1lG0YRT2fPWRP~aOnSNwle>4$qq%2a*IfM0D%A=ZV+yIn^@m{X&Uh?N4v_w6F zA5yicRGWNSh|=+gOhx~Kr5c01v|&^zj4ddvN;VBf31szP)JkUsDyP%4(lJ5gh__rD zU*lFXvLGKh(SkB0zT|}=U=mFrX1LBn(HrH8Qiq`sC?X-HqRm?uD$)g7RYBO#uO!7* zlYBND6`&weG#W*fY}_cBojTIbHFN~p$&l3eh8i$_QAbpb3@$>M0)z$$i9?YkhX;)? zwen+Olj_IAW|T`aMsxDwC^Q3t@BTy-RFd4PCF)LFb(qKKm~2uy8nwaMe#C|)n^~`D z?njFJQB9IP20g~3fcY39)qGj!?MJRw1$lOlMfJUAa}j28okkv$EX$=T?zm{~$2=ZA z4jslz{m7YZQmQ%1P|Nvbk4JUAHgi53bw2w#8IY8Z>(qGUjqvM!G;}P-CK;+ZqvVNb zKRQHJ?txBlb0B(NvH@P@?*hmsG#an`*xU&I^a<*vT-t6WV*}cxucr)+D96n zo324q(CY|2VzwnQ(@-GB{sdhS9cCT%$d4?YhFWk`Et0)m4#L$vq1qRtLN~9zVaP(R z6r*q)<_VfU9o5E<{Afo2KV#PN&dk?! zk#CaIGtqH8z@J$%!F!}3N z9|H*ISU8L=40Eb_?4o+q5u6iiko&KqYHo#6_iN(33e=qie>9z(SuBScbShme2dr9y z1`6Ok>e?u>63$FtLjy1vf5luI=6z9P^o1*KEgFOHb?(`Z*1-(oE_X_29d(^FcnQ4> zATr}El#42m85@wzTn5l`D#7tsKJ9gzz=QUa606(Mr{-nMfQ%9Oa}3; zlO->sSjy?lc*)jOm*@+s(0^riSIkDFAe>#3#!X#6Pj=6&Nsg>QwVyG30rGKo4;euI ztl_^{T3ZeJ znH{vICQ&)KiMo?_UP1L?2>tFAw9v=L8l9LJ8=Dw!kBf_sfj{HPv@IwBZ6dBMs2+Na z+#4b{^<6{B8)g_7uByqhD0M5UV_LzLoK%xQ#MLPmhi-G6+lq$ak885r%G(Cr+gTn7 z%g1R#eoPK+LyZAMLR_-VPp|mT4CTt(jwFO1{EMZ2DQBr-)l!?+YeM{_TWTfzSuTgy zYDLcV@F!&TCSDTmda{8ed;pnu0&6Kt_@ar95CEio}Z zCYb+ew>n~2sVzRimSC^QN)xT{FP{DBuqGtLCbB=Rj)ZszV+Mc4IpSk!De$r&$nTos!&HZIoArL$Qbz>!I0OLW9IxQ#%#xL7WyJM+SYsFTFEz!!^IlzC8 z81C4(1c1jfLOb*pRvwl%dt4%@&TL1+Dna$JBhFz}T@@1p!NE02w8tjKGDMs$CJrQ} zbYSH;8WHekOk84oF?9D#L5CwQo)^bkgwOcxW+{sbXGCeAnx zVmOvbVUK}~vU9gWRzWZ_MPg#(65N3XkrPiX2k~c11To{>ahYh1VP3OA=sRM$PpHn| zPAVtFYOIx;4uEz$kMfwfganY8>1U6H80FkzA$wv}V?b=h^8mEkA^O#Lh%W{~6Pa{Y zyFDQ;k;fE-iH(b4Pq0FuakttbD7ihMBS^4wV*o1~bmp{aP!y!I=lwUGx%cyWb3=#N z(PM8OAMl)kmQMJ{`h94WkaLmE_##R2el*N9gZJ&l0R**>!n}Q|xo0p_TtDnby#=(G zR6PPi@?uixLa*v)`G;X4B;zfZX)h+z-$LE+jsTMX5LwM%>MRx$zqiqVax@3tM(fKJ zz3>iNP_C%`L73bx4q%HIs}I8E;Q0Wy)KiB0!-J^48_?HmbG`WS3Fo!hYoK)e_3a7C3u8f6C`tcMO$y;U0m{pPuFhdLB(5 z^wpf(nYR6ZF`6!N^$fN{Ct`<84TgW#XnTBdTr3@@f`enCX>SdqC1k!mIu1G_dmJQG zBU?0NNPJ9uTyS2+&ZF`N4<9^yP;idDBAtIa5@8sLwbGtH(V^F7c1nY4NPOr6>~S{e zEuj;HF0o?g0i(z0w23g9#`m&9_W^?duTv?ZyP(6b0|p96Uy$~{$Sg6isG-j^^T*cw{8v`I_I>sPO?;HRWcXo-PkuLr$Sa zA};-xSb4o%thlcsefDT=?o>4?dkwiJkY5*1`x4#3Cj;pPUjUhN4khES)XWL}N@HB>vR{A(?v~WvZ0)hc5n@zeZ!}-*oxV z&@VbqwUT!v1rF**4y z+O3}9#I+xK20?1Er9Ibi1TN(LqBC=wf_ag(h$r{ zA@{%?Ws82jhnDF@r1VqKmmIo}h5}P2X)8mkASt!xlm~DV0w)Erz)d1qzoS{|8U3OD ztoR4oS+3~kKftn3O~;a^4!ttT#QiH|Em!Bp%9kI@DCH(g>)3L^IdAkGt? zp!s?kgFSu%0~WxjBMp-MT#MMwgY}O8g)+#{JJ4Y@eF{s?UkA|y3nSh?p^E67>*`Z9 z5|dLEWq*7F)^_NM(9c|l&h0e+-XLBG&jA24@eQ&M;aAnOYBz%TC{-A~a=gUvdyxeg zw?#LoMFPoPj9bDi#3o=^WHPcGF5q~r&2R>=7y+PgsT4q)p|&{PRH{nK#`>;cuwgd_CEc-S5` z;i0sQE{mmC#DQovCFILuW`iYy$eB4(12^(EMefv*-UcLT?Ty2zFmwTpS#6fb+jsh6jN|I?QR;*rPR7ma@cG?PUHmwb>W_;7#zc%GKl(!`@-s@ydi0NL z;I(=g7qljxrx$TpUcfUjYaj%O#*JrJpplXly;BRk04SPp2GOV<)Du1TuKSpybtajRt>?h=Cxd` zNPI$YAS3t_2638I_;UjlDkYzU;8y^^3{&b_9tv?p@$`NgS>%f=;*E9K9WY!EZ^!pR z9C|11h!z+d>+tT>TptfZ7zM+^e{Hg+0gk~HgUQi1Wrz8OhDE_VX5sgKAr2y)!f-SW z;xKOmj2sKYTNy97&zas2*Tz;)ylCHt5J|D(x(K-%M&J(+oISGO#jguDBbVb_9I>?8U~mU{4nt-GkZ0-St&2 zo{z8`LTv3to4J=308r0TVQ+VwCqTsW8-GbXa2p&P!WRih84Tp#Co0DasWr|8W2 zRI^nd90i0$eITK~)Hw!)u>R0*N-x5Vn?PG7tdZsdVzZSiW> zpyk0C4YeeM^+X&HOmYfvINr&{GNQ=A0z86)R0R)t0PX09`v8c^X`l`Y;nwcnA14cE zXQ|dc-XG61T@PWM&$STV`QS&IU{}c80Wf;rV@8J`GJYT)MNhBB)gsCu+zjK;lB2QF zWb7c^*COhK0A>B*JuZi#=1K_PTF|KwzXUhE?-k-4qA)WJ9x*9v9p zGQSRnPB*~=D8~uYFA9QNpo&g?g({?WWB=g=?4M3N2jSe%=XYtHL(6t)+68Q|pS!Q_ z2;|S+ivx|>jop63a3LNY%BE7chQT;E1vI)LI=tIx3`Uc*;dn6xfkx&~z2b_i$_QK! z;gy^`XC#ns2<3Z{bks`n`bhi@1p&E#J-xzckbhb6c~pdL74dujVuW|f8DW5W@5(-0 z)4>(08UH`&*WG=j+Vgts?8x6!@RY!~KGx`w!w0PxJ^I=HwCN5Z&2@1q?lQ$g-}nD` zL(8Dk8P&06*H~Pkp1M77H(LVj@dPgyAeVTz7VsDT9hpcKxN51Ex>7TiT=#!mhAVoC zt<`buy3dcyz`A84(|uDb=UuIx8qm)F$ueBG8d8M{u+kM=Fks+_Q3HZU_sbvZT2f7@ zB-zwK=>O6B2I1|X`?G^ijk=z!FSF7B@?K40uKSav$tKq^w<%()H6k>oeH;GV>nZ$pn zF4l1^q+o_$ITAMM$dN)lV3N{E2qGirB87B_6oRpTJ=RSbDaqbQp^M%e--O8aSw?#R zpNJABa<(}*h1FY(%<7W)J_>D@x`qnOwlrqnlw)x>58U=g3yUc?>LvplYGgVuU*1^A z5g;~r-1u09#-?fYSlmph$A`yJ75&}){Y2LktB`^53-#EfIgI>8yg{PC_MR74Y9De(eaW1ePB(jPh$ zlSCl}U#iE3Vy`Abp=FZZ>gjsqyKq#CL1B{gdJ`c6{^oA|gS*vigp=V(!Z4LTI=!l? zP^zA&99*}X!fJEbGSZ}(aDo=mVavd5A^~ZuxpJBd$p}S~r7eU`C=NEb2~pLZj{0EM zh8Z(-Nh9ksNdcIeBJ6~pO=*y9kz_^|Bu9f(As`;k^2!Y8#l)>he#l$7AS7 zx{ye&Hx{BvScYIT?V*bLId=mdwjz^}R>2#+<|@e$24i%POMK83k|`u1?Ubr~0v}}B zCeOBM0rwhZ_1{fwTpa{O#MkOSfB3jkzwGc)O&!yhchlPambB#n1|_x@QPtFV*`o9FC)>LTVLCfo0mO;Y9Rk+B0Xf=Uv3cuQ znOw~isu5EUq0p4YC2Ze-unpBa45$Vqf0a_hb*cwk%i|sm*p}*j+jI>W7gu&Kp*=DU zXZu}*LGT@Q4Qe$WvC67tnz5JzsnE@po02R*iwIp7q{UX{e>+218*f{00{OoZ{S*B4R^=*1DQGix)~Lui2~~(_X`DwxePLD zpwNgSsVIgDE{f~*fkF_%0by(ht#_){g6hvkg~D9iFpOO#oGlb;qZr--c529m#5NeB zh=QO6LxrmB+k=IxxP2Jg0`0R*Ba<8OWPa)tcHqs$Wd%%DMneV^Ue_>CmxZeDO(zW)By_&@xXbzH2s&#m89kbU1YM&#>Rc zl{T^`$43Y)DUvE}sOTR??*Am#AiYNl>+uIv>s0S6x&j1^h8*f$B-p&pb2ZOV-ccoV zA9|`>)9qkjb99;#Kz=C_-pAiFD81^ir4R)#jlJ7*_$ED=FU1MjK$i9(LxbM z;bd7ICDnVfUdtsJHAWckRV|zuyehdr1_te!n{^Opkv3KsgzJQ}WL^HTUdvfz)6MWU z&Z04AvH6}3;w)Yq2LpF9XR*&eKvUDrLb!!9!^=6fD`gf%f}hAHb2E)3Gn_kCg)_$v zejaj(phQ!~)Jey59{ssc_a+KA@XT z$@w`#q#GPOS6G5mIoR6(CimtF!LYr%>O6?SP`$$4V8J}$0`9>Z>^@%@i~B{e&c415 z?LjIp5b{wE&cjfls`SAE;Rig0s+4NZ*2Hu-U|A@P$rNW{JK6IsyH^Pc0z@4&s zi-aZu7@XuU5;mH)bNto_>WDD!4H|s2tLb9FTkzRW0cA#C(tW9L7{3eB>w|7*op3+t zz6?yeKY|nm3w24%a$ytN&ouHkpf;;)wJj!fJZ&2=tj)OYtrOOH5zBb2xbCkLc6i|* zK*#6pi@p|7cFHnXow5{specAom*78HhA6+h{JcH1uA;4iKTiIymw=rYVOa#$Exv^x zQhO@ySu4TT$M(GS3>U0t1TOcml=0s#<6^@yuE98uz_!m`QD2GhbVa>6f-mFFN)j6& z9MO=CL=oikrs6s{BS)V|wZv&utDlD98aSyTi~3PNX^w~>*OSG5l#nK}p#m7Q>)JKV z#F-d(YFM(#RhP6#5zo8-zMls1oSiBzD^n2AQk+$$;H#EmNtuGpt;C+RpzJhg0h7#s ztS(unhCKG!^KE<6#F}J#npoe!3hvBsE*sV>a1ZF;8C-2GMv|{vi}93*s%mHnRAs$V zejD+;*Ad#RpYsrD(N?rsrt0!+j$l38s~KWCxztvii$80~?{8JB=ntn*<*VQ zwcK~dGR58)9>xsG7VE-KTDG`bJ;OC3*~&s>M{!M=B46@%NAV@Sh;M!QGDlowDBJWl zs!rB*64&WvjN6FLViM&{?R)mCGUCvy_rE%e(}bK2fpjRULtg444mCL=nY9Ze`A~H2 zsYWz_wCpNQ5}<^STz9&P#a^>GdM1_P8zNcgg|}Dg;_Z=+~snV z0d?prz6~HU;|16=qEmw|tfe0L;xLm}6f>V3#Z~q-!l<~ex&>k`!oE=~LPFPSGPt>1 z>L;d{8gMT4R4(?T1{hO%Qh)IRwsR(_Hx0F1ls5;6Hd8CkBvoaSQ@OToea58aKtDqPbcp50IEJ*oXkNv z_>hPCdLzW1Dify884s9hBgIRAxjzy*h*7$p;2bt}ODz%?koUTZ(d1DPSok5g@b6J9 zS1dDUYle9cMFx%%hnu8EEF6SJJRD{l5iA_6qs4jfSY9I*4$F5M8PK3|1&kGIA_R9t zCW#HX>J1x_(#G(_<5>+GLQaemT^y8ylX<<_P~V8(T!MQ{Q$erIdJTvPlb|d-b2d3T zLCiH3aB=%K;>o}7k=8~Y=`<1gs^L_S96Y`ei-ZGu{cy5k602uT7%K7_u~=I*Sv-iB zGBwS|g6p^=F^_DVA}&E2nSRVGuQnn@Z^FH;HX3Fld4H32VjFr^w5qb(<%JPw7KFQo#5&U82JazgBga#gB3NIFRm|F zRAqrk$`yULKx{;dX#Z+xM2=<}yZXE!_CRX2~#6)t+=LKQR8*b6rq>EPn?gN@cgqyyVr{& zD2m#&i9r|;j}GR;H;8=%2rE81KiMFrn=%@+m}}dZ#T`)N$Cj1;ceF>S>)HD1!SF_RU;w$BfOnYDqXN)tDL~MuPx%(U=&!6^)?aGmi+za^% z9I5XNShuW2rQ$(^!>nu~l(Ap5AuH$GP3Id%-rX;DLSdxJ0Wkx$^iaR<03Ok!FJ7n zZUrX2E#@OUpDXa_9q}Bj&N0J``dq`#Czan78^cRUm;zfo)PM4>SVWmn1?H2!@4-X? z&gjGFM?9d54skT?A`H!>k>JDPAaZg84AXBMhS}7QR8>Fcbt~_AXa259bd}hSK+p4l zxABCvVVSMhKd_P^N5xSL0F4-Gu9B8mC zlF-|A8$6&t_)L6TMY~&ZorEc!QM`9Jou5%WaF06@U;i8yTep5L)&nB4%nB229S8$i?*f^Db8-#pzN=(4t+KdY^J9O$VNZM)f3jPAb2Ui*@t`hKwKbd$&yo3MX zUfJi=EbMOd#98qHmhGT>1XqR)DH%VK53*Gc$JG)7G;9D`l zT!!w?Z^d{ZuwD{hz?&Igi?QC$JATRvVy)3-F@&iS_tjJ1>cq@n;@r;=hB743+Wh@5KH1iYHOnJpn+0j!Zd_=*(5PZYkvEHOQSy z?)?Po8uPBfcw8ZdPbpzDkeZ>nb{>H9z89yOd}5fbW^Np_!w3KizlrxUxh$!lXl<&-b(ww^vk^WL!(wp! zFJcD%IEKaG{a?f+bIyH@;0Q^$2eAuC8oNihLM*zjfzjzWZ^XLpLo@@H4ZwN@w8|z= z84tvCeD*D}>^#iZk3JAPn!Fs$zp{gm8U?T=NDTwQmHDgaE5LN+%tPp+eaYNEV8HfW znIiEC6ly>^{sVJ@{yK>-Y4=c^qf?;AFnE~$6!WmJgDE=uPjM1-os3~BsryJwhO_)f z;y8WGpr4*4SoxWht1@0%O^SqPjXbnYBf2b8B4a56iog#MWN9SwGRiAB zSeDJk(k2`n%kIaSo9i*+;8{Ljkd}GbV_7I!Nr))H4Y`2^6r0J86{X4;H;ZL6g5`@1 z)tt!=MV(0$JLHC@J=q_&Tgh;MTBRIK*mCgeq`)&Ql-5J=UeVQ#K~jDkm{lb@GLu zf+~_Teqeo7!M;gS3p9e!T8z5I@^@jWsMG#{n)&<|m~yjfNH#ayGc`cDH694s z)|7^*Hg+53r<&3rP8S5PPi*dx1JN5EC_fL7l6CJ`1EmyqV=o3u^`KvPR{viErLpB2 z+f+*;<%)`ebXKQ=fYt9FSUGA-1Ip2ztu5u!A{uiB)47vnavkY? zKz~CIIe&6CSSry#^kr+bkHaw@kdH#7JnSFOS~IYq5l*l6cZ5nk1Q?X~G|*aC%D}nt ze5l&@jn*x6cD-I#N=5L}M-Zz89>Lo=paTYyQT4$ZtX>s+CIeZFpm=gPUTWe-ZEPSl z!Ye(nsuU*0xIulwq&j$qCswvN$>ByZJ00}EYJRwsga^j6ZfYR887^&A&*%@$tPdlk zx^6CXn8M$AYK!%DKtWw*P^fb}?d{L#d;db9SbPY6Lg4G z8dt830Gl+gT+v0F1dB~>ZI~px>{2W(q6RRu?lwS7j8uxyFcK0k1(79zVA64{dGirn z<6&fAtki*nYGJ3Eu?sxltZ~rWsmz$#>$omPW(j3 zRfpzsBs%Je6?5;f1QsR3$VUlMh}YNzHr5U!_Y)xSzhPAVWdtz#FHx#V7RSQ7`Zgy* z7s-U;uS$dmVxN@^^s7y}HjyfOtu?e#hv<`)e>_m(BuFq-UwFerk_UamypEJ%$R;WE z7}iooc77ob%$mW&-1PBS%9#HBM^mY$+g^>5r8=m&hn5y6OCzvmE}*+g&mc664(Lo; zG?zLF(24M_&$YE+K(cb%k( zR9M<)8L(g(HuCN4ETxc==2A2X=pwZEmr3`KMV{UZ-%Mx2KJutBvq4BGHF zmB_#!Bw{xsd}9`$9APjQ&st!}Eaw{7o4=)di#~(Mijde5s4@V0=B^ zvlJ9a{Y=qG%zaTweC~o@*8CUoWkm$HRq$x=9( zMkIx_9U^tYt0>P@vu}NOw@Nhxmae~tNWKVfOCq*4Qb)9h$zD?B50g1bgF@wz(NZDW zMwM)fj%gTg1BR>_4)dvPNo)nqd#q$3{|uLQpmUzVH%Ca3D!3&3ZwqNQ68sKV24G;? zcp1h!M?w&T3{?-nI#xsx0H0{UvQo0a8jxqU!z-9{+1#pnjetu8~r2+A34BcmpU|=n2L&q#8i<8{~0o7%~Ck8Bga@vFYUkE>&w?!|CLsiBfkr z=(~wZ1bWE>=+#Nk-%JOAhD-H%T<`IKnm<|UP=?hp51>9%Ac;UIDzrh6h$ObWF=8qV z7T*vwO-i-o6lg)GszmxtlltR3Kn#!iXYZ40qu+Q71q(Fj9gXGqlhS7$H!ooONum-RVQZ_O8#WTEa?s0722lnNjR@Joy=2w-fZbTJP@i6 zh_y-oIk1#8g7aSfw}u@^PS1fW0yoNkE}&*Il)n*0)pTD+9G)wMmn`a4ksO&TH3Ujs z^p%XzQihPd$Qanu7p{8i?Q#uP&4*dt>&a{rn|J*N?hd6ou`ZBeypC|=9->^?CUx_^ z_67_y!Qlm9g3pp!FL!LTUaOkm{0q_>UY9waZy6tQI!}~N_akXmQ;<5Es>fE5Sx4?yHXAgV*qY%VtKbq7uWQBzjyZZ$&B!tguM8?) zE$xLj%CH96MfQPaq_i2l&tsPc-Pw#Z8Yn~oiZzj{*YGCD+(fw&X?9RbC6y0KA>^U) zG=K!JlPckpwEYxI&KDZj!e%^EmaUV1Mwhq%>tBM)_aC{61&=l8B{FNhbcus9@FP}l zG1fQZmphlZfQA}(BfVdi9-ykE<3?!|4rtCMm;H7ARf)I>rpHyunK!|Nh6>e$-)^G) zaZGc*b{i7zjw3hswy#Jp!F_hLLuyE>>=MIqd)9+q z1DZ24Egzu~y4$dCmp+GA!9yE4cv^FIdpBy8h8o*k?<5wXs1 ztdpqinqGxo2e0Do?t4$;2<@^3Qu3O#8slxvS^RG!op(z~FoOU?29-?BO2cn)V;+MC z6V#g?+epmoFfeHprLRkKfPxu^eK6ol45V@=r+9}Wda>FA~C-y^@F)4rL!2tZq7q`8~2-` zhB}5$kwab5AOZRg-m$n`Qn6`43+C&2E%@zS?+CX~W|N|~q&4u4H`^i4{R-N^CI3>V zSxFAP4U(^H!Cr;wtyjz@dq0xGNQ;BgVKV(g`8syBVEwnZ-OwI71uh)?T&jX0S~IgUq#B1LDw`9@F*zjb&!C7*l%+2z)Vm059QDw`sDzpV+& zTv^R!Iw##kI4PCPps(z*oQJzMsifn1m_#i9PQxaV7th1(g``w=>DrY^Teg1Q*HU9z zPq!=pGku;v%mcXp1!*w_)2p4z7o{+G@R;gfmgD$~Qb)?_XhZn^&y9<4+oQw-s{J=G zwE|Xj)7Z9W>s`No3q3RB!HnV!H@gMzCC`2@%@fXgNAO;9-gPP6^iL}5C7*(^;IVPb zW+l>{29Hx+<{zYr$Yg2BAl@zcmW?e&2*2JQ@uTF2U>vFX#B+y=LtC<0#x|X_CP};r z%icA~j0bQ5Ta%RBgx-js;hHT=O26_YV{XAxbWKw96qGSgK2BvbIq%z2Ji?hR*%V=4 zv_Whx)7Co@LZ&`k_B`14M_&uor96!M^OLmGG>oH$s2UzO!dUOhzI`>ZC3{BFJjKX_ zO$)C5Ed7Ph0b#dKSP;~DAMFF zX)xyk_sZxUo6rA(8BBx+Wc*WDce>6^VqkF)B%z-%`{1br@5@YW#YedZx(%3WD@)~g zQ|DGJSaVwOVD+gP<&I}y!oH5x2FZ_c-&TA~X`xqh^K8NL8q+AwWTeW(K1fHkWbv>@ zkPqT%oJZ=5dM)SS66JoTrJTo$Dvz8ubd;*iI7!aL_$AJz;9I?(a;fI3?Ekh01bs3Znbt zZd8`L;A&}XZ_>~za*DYO^6e_1CvT88!QN3>tE#-VeA&G+WvuUe-$!1e!a&yX)#SSH zv#y%l181c1Rb^vKt=N4;il@5{NBhbS+?&J73iN}oJX&v@HMFd{oKK51l_xWmEoIrW zRV_f#1tLQYjY2wMz3nH@6CQk`rufVLa;|A(8VlVGu#bU$OmJpH&CBatwi@#12=7W$ zJy9<}-mahB3y{~VXY_}T7as=7YswX^u0;bSjR`c{z&nj~rwxK+*ok~4jbCwf)SFJ@ zS3b9E%kad_FKJBcCBZV>L`~z{YA0yeUr25U_y9mOUVb6op&$gD+1~7keOoiM*?>;t zn;ii_C3e=8Yf>=XDax*lB0W&BHJo44_{JNZ)jF=jl6vwLgj==dL&D3NTjbx=)2c+~&3BfpP3Z4coaj-=o*LH8Yf<2DmWK?F^Um1#k}UoSQ_*MW$J; zndfG-=9e0GHEz>fKSszI2ws#2jgG^s)%L#B5ldS08`=yJKx02eZ!$I*i)IkIYGwf5ijaumB1z)oWYxB>1L@ycWT|{t$;;iv;wPE0WL0 z$f3Bn4ciH7{#qj#*M`rV$C039c@KuutBb_C>|;-4Y`j*X!70%Bf9nZF@9LQCx=?D=+(?mc zDfk{YPwGFKwr(3wje>X2HO-J)m~dNW=n8GQp>rBE)*{RWh7MOyC2}TRPPG(d>NQ|w z+B3G#ktYjh@2dIrdybs$70KB}P?|a=!Lmq}c9BH$s4*IG1J}e(;2Rv@mi6b+UBCb> z+VbIYj1G$@tGmb}D2nz_@g%CNoCrT5xpEL6z4F?!(W?x}ovv~$2Q|ebJ=AZ=mGg9# z!QJFd>KXiy3DqD#RH^E9hqr~5c#?{AmnXaBu=bE6@pjgZ#VAKx-dzGO+FgF$LvHM* z2PryP#Yc!IJ!d4~2H!17I1a7Rfm`K0Lvcfb$apO#6wMH{qb z!^gXMpaA-nJ9Xwd-7jr<=B(`_Uqo0)=l39L^_0DM>X_5n`;xtnX%qtaJ6}!#Xvvvd zbx}GS57>OMt_SGD0+>Ppl#bzj`az!(m(G2@+{o}$KY4)8kXmn8e{dPl(UGZ>2fn=r z$Z2IMz8wJb31QVhIR}sM)W*_*^4PKz%?9bRT^J<$khcbb`xkj4jx3aIK+L}dr%T>| zTAlCS__y~Ye^w~J0doVe?ekt_@oKu~og$lWX=dM+uC?|5?@p0LdDdtfd<%|#Q!Bw1 z10OSrv6B%)Cji&3`gN4kcs8!dMKAz_ilefWM>Ro&Odp z;p5~q3AfF7eyF5ncn+0g@tQSKGybnar3ZWhCm{ho5tj&`o`Nsd!I!p3&na@||1wkz zviAbjpAD7N3{RnQC!N2N z3hKss01UId?kD%Z_H2w zjj`c#!z{U_0I|yhyYg(gqv?Cg~!#UZMK7od>%#aednTUqqg3=L>Q+ z{$IwJLCPplQjak&^^>7KWba}*Sbe#nm-;o{%d1|LU-jxp)$((8Af+!t0O2n+eJ^Kl zpW-EQPXXMjkdS&e|#ZQ(F*yF;2N?*{zt%5{>3{J zpW~g-P@B7#9QS|Yos>25=cfOqcMMW4_2`{(M(?=4D?Feb?*Ob@AUE;;cKlsb?`(zq zS5Htomj9c#$;)UFTm~h;6U^X7wx!CRuGwZkd40Pa0vL8xX{dlU*p{V`9r84Ue{9D( znIFmVS7E7zpV1%M$?SLyX0Bz6vUkE11B&PxL!90i@MK-VFFWOh0z?K6n;pC4iC#hN zS*XGHtqvGx(y1dgNo%-z?Uwr^`UZv9VX|Xy&#vZL>41p#?Aj83XtRcj8tvKI7<}!$ z66v*99!A>im6xJ+v?S>)DId(4Yir?56EA^W6`Xc!`^Zoyo@n7&otZJkvpHn zzX^S_3S!GxTb>22aslytuC{?#6=RGGw1HlmieX+Jqw%gmHoh&lG@asxKiQtIOK$F= z1KRV&&F1fb%VEaYDWYU!MXk+QPyNGs1(Q7^Yozt+4hkQuYa}ctjC0gsbWa$?$ZK#*U91@zvL)QL|4qz&h(0L zP|NK+`kZ_Ox5#2waO`=V^ejRjFg3$7qU!dD7Fq1xX&F>6PpA(L!GF2PPV`#Nbz4elj4KLVHR8pt!En;LGoJOut`FX;Bxc`hbJSLADO)y*6@bE+;o3He2?=6d5hAcLJCA>Ye6aDV>H zE$9=LZ_!W!Iq*I72?8nlfnM7ZpX+izj`q0Q3U2*B%OT%coXp#$Gis2g@MHNUT`-cK-XfDwV2_dVC^cVQU`zt@4r zuz9Tk?E-Xl1iOkE@EqxR4;ClRaolpx&{o=?S&wcbKa_WfEZ^y7D_Lu4$*t&HMg<4oYn( z*%OP^4`J7cPDAhLhW;t1avF~jhP!*>Q}dDB)ZNffPk_B%ut8mKh$c+hW4WiBX1*ty z*e7zcax}Z1=rmhA(Xcx@PnlmV`*fQw&f>j{DMs+0}pUN-7KA!KM%7yrJcFEPm z5c=}oYEV@Cw;X0ZRx{S!`yD6y{+9c~{mxB~WoD2r_-;1qU5@LZ>*T|K#lWU#x6Fe&l`?C5W&`rQm~Sio#~9 z*9K{5Kk}lWGzMIVuVS+pDxf`f6V^vm7Gj*xk-w<-MU4>Z={#kXqC|LQbYw$ETiO6z z(Y$E@vB7bUqKrqlYe%-w?sLgd%|-2FQWn$46sssXuvM5!NlvFCleZY>w%tH7y`nN1 zFigx)z2bN_Ya!d4wlJTzkZO+9$UsPT$G)LOc^Sc12AMI~-l0vb8MaYBM}w~>Q!6Vi z0e7^rQWt)HsI2VN&(8S3UaF6)C}EsY4m^cTMSX_H?5au!4&h!#7d+$U`6%_va9_u% z_&!Q_-qy|CY>==cUl3T$4UwwXsQz$`@>P~0Y{_9)78Vljr}U&}^u|%092RYDbRrA! z_g6|(H2tC3^u52*iIc$d{Pe-wBt~a3(&g~ZkTQlL+E7C+PM7tY)>K9c5d3@)zF1R9 z_v)L&qNF!T2~`Y(aLz={{ykm21C;d`59QJiCBZ>TcQ|8Tb@VpiNQh1GcYPkD97Sk0 z<(FzM*r>B1rLo|u2X&O@rd7Pr6*+{ymft+;gaO5vEDl!oBea<_nfbG!nlW+IRZ__H zP%zRymBsSv@$RVX$>boP)m2u)qnAvK%}oupz@eJ!{dx*~74!^KiT=?0$n5QzmvdNu z?cGnKI74E?lm!MXb;rXnculO4?y(2DcfyqsZV-E0j-}JH%=bjVyF+zBD0Ass^lvKZS)F4~7kCjqi!iqn z--r3N))p6%m}8Wlrq!KT=&kC+qu{|m1{8~e_hX=gz*{=;>3dj$?qTrZUDKPK{(wsF zlT{YrOCH84)A2F2+Sgc3*^|%Wl{NSbv!f*x9==uQ!##6I$YFRy>*E9^M}R!w$&#L^ z3^4u7Tl}dLU&OP&q!Hb6-AYu75Pl4{fCoyBc+0iv#HWqousC$o<4)v4lCl<1{Iz^~ z%`I1HQ{@=KwK}uzIQ4yA#vs#*}grj~QSUpNr=IM0wH4VPxot8>d zC<|$;*o^JoBA|=Et6eLlIednfD^yT5(QV&bTp@Bd4MvBRT!ZX!VkP!&D%keR)EJeZ z;a8GBTf<$1YFr*WMJeL>QIid&TAp%>gQZQ+q9Vv=t8NQz0pa5O%S9D%Zg)9 zG?`Tq^lh054{gnsh9FnnIag}d%^TcZo+=!wP|9(?FP?1@{w7-bOL<`Y4ZpmhC_>>lJS6?dYrYM94wzJHdMN z1)3*WBX{kJN!mu2*qa79LY+BR2DckvfX@F@CP!1}Z;dys#@9AyJUHPyQ`lBY^ZE|C{G8Ph_d1%rI zB^HahbiQb*r-PnAn)|q%s}{<+5qGCCQx!w_)=(ec9-uB84E_ zD3`4fv0Yzrx$J=}Z-<6$L|mhlGzy}7Heg%G7^MxIv1fa6jtBT(W0V0ZoZ{Gr+P02W z`r*MI!0F?Z4my|(Q)k90qiGSHmlcdxGVvTvXEw-`%V*v2#^(vpAE)XyZp{iND18xL z&$-YAI=n5HO}5+W*!8ZANs0-h^^A+zP;;9so1%;mz#H6E(NmRV(`UIXAU^?>=vOv+ zY8E;{woO&enJ)7BuXFjFrn3=nWSVjr|47}CVkwxZQ|9vPE&Ft(Vaejz3V}Zyraw8O zKR6@Hs8D z3sYlzHySDQr}0idVw$I{G8EC7Evp2By+xU%d3zJK9CFk-7U#v zeg^4UvOsYnJf<7l*y_Jf>5ZmRe4CPH4pT{$IB!eFTRPDgcn36GdI6fo@fgy3k&?)1 z$3t!dSucwb-L2$Ed~1L)DGe1MCCg=>7nL?bPR}H5iddPPcu@%?qZ1WB`d59^`&@;i z-PqelyoYLbI^+sl0#8VzQ>5ckr3Lz$>v%dCdzp{xs8i(BQkeUk;u07t4s~N*>$FVy z0O1GS_;N#u&b=F-G)^v2svsCYXRL<~o{bdVWZ4E7{;$2GVKE6?sXW2BJL{|s6^C4X zS1Is~t9sq}GQ(Ak@8Ks)18EQG7J1@aS-$<%%D|r5tX_~rKLyaWz z1|^f%2a%!;N*%Pw1L({K=(|RC=TH0V)La#^@MYy6yp?N`^O?pQOu~B8yBn1{0)C@A z3&)0AlqhtFHW5LlZ&4bU3x3rI-XQz7D7k>-50~o|l#@D8R3d}7Dt+*=p{`H1Dpdqj z$@R?+<#Qo8CT2yUlD7i3rHJtfaH2h2St!F~Dx(K1c=?elyFkCThxe_35Fh9~=_t;VC@I>3mENr)$9BBt1+FfWtU?Xb}j9WO`Ud4<+;v zSPKp{=;01M+@y!IL2x)l4+z78DL(nDAJ8TC%V#c&J=frCFid`k}(=s~Cp zhYIx2gC26}VO%{pjHZX}@PR?+7J3li6MoJL^pFpqDs#fq%D^QY4j1U*Y^9>xvE;0?zA2wjj#E}qOQ&)sL zZ<0Uv!T>Ou)GAdPv)IaFah1hlDvQNa7K^1U7DrhuhO$`vWU<)EVsVqjVkV2lOBRcj zEEXnNEJU(ccx18A$YNoU#XXezTT{(}C+vUmzjYL>+0d01&(Wl2S^QaTn!ufCE^nk+&9b;VJ!M%OL{ph%G5vly&tm$)Y@Wq=^e>jh z6KPVjET-Q_ph?ZLI5)FGE0)F;oQr8zvn)PNQ=4URPny&$i*M1SW?6ijCN<0A6Evx57CR5Q K#=ik8O8*}l{S1u& diff --git a/doc/LectureNotes/_build/html/_images/week35_147_0.png b/doc/LectureNotes/_build/html/_images/week35_147_0.png new file mode 100644 index 0000000000000000000000000000000000000000..7ef2784f5b4c18c17c0c40d386bd0a3446bf0550 GIT binary patch literal 23864 zcmb5Wby$|$*Dm@30@9*%N{h5~E8Qp{-5t{1AW~8S(j^Ka-JJ>uNOyO;I-K0NQ7V~#n-J??Q2!e1*%W1*9v!(cEhSs4ix7z~ja21Cerhywl( z2imh7@GpKBNlh13dvh0eBPTPMqLGWkJA0RRR>n`=%$%I9?Cm&N`B>SRpIW-OI5-Qi zvDyBw2UzW$EZDfqs|&$P&>Up6oMA8=Bj^vp579g;7)&=;R^pYKNBZu(yAPi0UDx5{ z-uKu~55%5ke|RMD>fs}=H?MO{1o2PtginR=FbHbk5$h9MSJy1Qi6&g z^_d*nQ!1B-bW|VWP^=n{uTA1*o_?UEO_}e%zVzrbVTj)!@C$i!*5BvTY7k*WghCDe zVePYaLxBE5__gide=7${N=QiPW+Fy}g@x4#Ars)@;yQYwGlLITj_@?WXC3Q|W#F^0 z-s2aI0b45$e0)9^?16!Sn#=^1z2NCsbau?3q9W#0Zkv#CueKR*W_AtE6mz!6Z9kyCV|z^7^w=H~R^Ep&^k@Kuh$+zX!9uU~)q zx0raBQuIEKJ@WVWPvx=w7!#wMaGnkA{ktO{+0J|;VOqabrFs9s;oJQr>?zwhWynbD~p{;9lLgKi78S1^8eQ1+N<` zM6NI4S*1r7jRL2SAIF#zp=6bahRqutgiaB7%zhr0TwBS>$@yH=)!BJ?GOAqZdwmvX zd%87Vm>`hpxj}q)0~bx2acd!t!D?@_t6g1xdu1akD%vV%@=fj3mr&f_JEH5)AC{$s z7@mVkW!~edUo4R~lh4(6g{T0A&i<83V;1vu7hobN9_But#)2RnP z{^$V;O5)Yr!GQxJA|gz)#fP6DA~;t*X{6FZ*~iyctJ)er2o-1J?t0(i&u7LDAt6rd z2^xrH#+~S1=X+75rEH36JnQ9M6ijcAFBde@T!JNqMxtr76fPWuy+@o6%C*oAs>_*J z(qCWpp z1r(lZxaI@tvfC5IRzqJ9VE31U{&nXI-j|16lpL5r;-T0a)??51>Q=Gut{3m)K7a1W zy1%giR!iow)$VB-@H4PgHN=fMUjN=M)L_V&ceKleab|K>TrR*KEU<#FztIo>)JgqEwtml6eCqIZWl6y7@=cCEK=Fzs5q{>nj-UYZ!8Ut{^IvPw$y zLPF`;;-M?MyNbPuEPv-4d0|vkR8#M2;+Pl+k2b%>9M!ho7LV0*Mi6p(94y6UWqEF- zIG2P}+0G{V-yLVsiHcsX#e=(caJ5}(Qm(lg#bF0Wg z@vUvo@OK>T!nGqC3~7dEWjw86^hXODOts5xV`G8EbE8*6eP0e9Md^0@_bNz8q~eK& zyUq9IHc8!=!uF)$gP6R#m24ANr`wmOlLnVyV{a<@?P}xG(t5!`)GddQCUe^m6zkNQ zcZA_al5l@4H|feeekUt=b6V;z3`bbp=ubg6N zPfwExd3;J_(aCf-sFn?s6cW=mXMG~N&{le_1anwi;<;HY!=5V26_>d#dnwXX$lLok z=HR^aF~7qNSNzK3i%s~gLSq4E5*H57Hy>O^<8n>btD49ZGHg`f^zer55<$4TpPwHv zRGII!+sf+d<=L!#{eH`}$6+U-R=F|q!ootrRngGU>zNu`9lNv@3++F%=0v~w?+uw+ z)}1%bD$d@f&7HTR$5OZM2oH3`@H%iY#k@3N({JDiG0GV9=N~sNXK!-mORBc-6D&MC z_>I%3ReS%y#K54xE)!Qss0k@sQo~F_;`uk}7>aj`EzNUJ-<0YLmo#iWhyKtjrOR|h zlTTNeVF-Jjv~_i%HqPru;ETJsaA6QIKf~9ZDAE!)G+g4>c-NQHMs3&2jtLHua*$;@ zWZr0qiun_-eFWX}D&u?fgX0><`}N%m@pl-R_X6Q;kFh!TCy{)r>4Ig&XE|F8avEMm z$m9y$o{UBkbB2JpXjiw4Ql!q5#%pg5T=3?0-ya@?BLcz@upA`_nwJOdIQbf-6tS_f z0nR=N2}~MJql&!C+uQP%mYbfUOiWA>V`F0~v*1xQbo2tX{_}ZvN)Q%T0#PZJpa^k& zwyTgKkie+=y>5(5xkNQwhHh;Q|EO&)N~nHgmMEe zuX$Slg3Inq0yx@ew$__CsVEYJfl$-)-C1c687$}O9P6`AK?okLvKm!^E~3icRIv4d zI6C=@^(2F^@NlDFAJFDpC-vY$LpD4SMpBD8B%e}JWE~vXiHV65l#*8T-6;Fbe}!&O zrzA!tjsIGda$h;SD=t{i)@p1wylX&es&f(Say~++dm#|n8nq{3O5?o0_|fC*+??*& z-n_h;8XoXO^CTMXoTg*l;eC5OBi!1fetSmU+pCxzh2HP7U)YZK{`Qh1eJv;sjp?^u z2DkHadHLrY|5Nm|aWS72+!7y8y89dY@bso%82iAd3o;NR>Vm}@gNP06O@2v}b`LP+ zxT`&kpd^zSRHx!T^89()mk~*4K~VJ42-o__p^=NSz{~WmBH9PA^J`_hubvK z@^wS0DF2qQFg}1co3yE~Lxb%&353WFJ>U00%Xyk0LNGd$awe*S@t9((O_yJ6^ATj;#BbKPyT zLEW`zYXzHd*UpiIgwRKD7?Ji*V%RsT$7yrTakUpi@8{=3MGafG8tE1Z zU4zalv@hIrNZR$adN3g8R~L`l{VCsD<9zNv8JnOZ^UhS9K$JbKrI<8DPdhll zB`EX6n|G7H*PYXJ!%1Y;D@t5ys`*0pJi ztmYpxAR|Voo8GYuzm4FD5|%{8kn z&smQ<9KE`RwCz4j?YEutU)XFHlifA;*Fjb(r@ExoXg#Fi?WkEQZ5JHjdtLb|qOS1s z=g)Dcb#;81epgmC_KW%z#rn-&xif@#cuTvxzCUk6KBx`8Os0{FT)I79WUKCy6_PNVCs5q-VmZfZ6wX*Q=*|DGO#udM)BUq0%_Yu4@{8pH{C_TT9 z^yK{h9N6x18{6qp!Gd@5M$9#cz)^a6d6`Zg+-`!1+%-73qa<9GZ8w+4#6lkI;GX)N z3`>&_#f*ti zdU|?veNV^7N)58Ue0gfubSM=~#;;OQdfZ$}|Ex?`rdB7tG);u378@s4#}FQ?%zFr+ z;My#?E;0G;vbV7vasrk7`2mAy|KSwavl`8SxyFC?!a zV6ha0Q(-&H6M{pjWM{`(US7_u-;})QcO3=5Rp_i;V^p=xWMX4hlD=1Xrm%N~No%KF;IMCSpO+NYRHd|mL){d*=VX$_|aPp zmc`89Idu<|GM_)CZ41?~-x_FhbKOt*vSK$x)5x_xzVCLF#eEG01t#|#XL#GQz1F5; z`DlI`>V(lsi$N99*l@&gh%}1V|o@?vtxQ|}@z1*6qw(0RYEY7Q{Ix6kM zCVugO-+ANnjN92Uhs7l7BVuB$=PvJNYoOvSt_<-JIk{pG3f2_BIA$(J`@F__7eZxbyS+H$9^Hw(JuX~Cq}M^oL=x}(LO8TCiBDj#cGkL5zOvh)-Ou&LRaPaZ>-2FTzm zK=cnDJYcsPp#^1IFWcWDR81BF3~cGk!B*r44~A-NXXVB@9Ywy>y1k; zHsKH35shI4?x;;wlFeXoH&WMrax4hwIeu~>(sNlFsB=|ix;16#)BKKJV?$tu2W?H% zf2-4dcEsbXP~wbIu=Dd}+Qk9DiKMeB$zdqwNzYUonG>xWSytuLi?ut!)$A{>T|f_L zUp9mfWVmdN^{o9FU=t8XU0XB7CgXeUlt9P95gQqask${GUW>oHj-*%OUb4MBi$3ke z7gSzax^bPu<b(+xggd&rfK^DqwtpMk9TBRis@kko9vvOYC@Qj4=j7#Sc!`1%CD&%Mu3#lYOJ#&&Kk^uEaT#2XVUD+EQN-L93BpL}lcaH&o; z9qj$>Hi;dVc_$oO^m+D3cha%0X7>8!U4!n<<)A2N0X!WKAWy@KgJnz#p=1!aO6oUK zNiK`*TP{PsE2brCqhOP1{=EhKfyn)hGl**4xk>tehO))2KxOIZ=*a!r6?uz8$h7aE zuTKHgpFQ2(PoMojY3L?F>D$AQjyK$CeR>wXb&tuLq+to4?hN-iaee^{667+UsI%ib zIOnK;abD$jkM^Bq=1-#dK)_ssBTP9e+*~GlyHme*W9&@{(H2tp;YY$vS?s0-FatqjMJ%gV5UvFce5;qR;L2bIY7?jcG`aIy(?< zj&bzRiucQ0Z=A9#7}zSE^CG9ZHCO*vLIDs9z+l;AQqVW z;(e;vHr2qX;&ESbCo)mU&-C@i`rY|zvcaA_=gOxbtG}*gwto33i`Sp@Nk4Bq>-xx9 z6k{1_Q?)UUxH+rE&#NFlG73iv4T-fTJk95Yra$iL9RgbpGMPDR1JEdo;lcKC4nz(B z=M&7$W`%v)BJFxPFkU0;dv~0t-^AI%5F2&FpPJBh?^_YRy-{Q|8W?Y$#6YcL0=;b2 z@&N07e9xz*-#gX{<-*(%g$DPrxjHdRCY3K%8(43SuSzaF3wxbx`6@|IzR?J*?3>Um z2RQR=w)$0sR~6}2%H!eYyP-2Dtn1-?Ep;oI{26NBD#O>oZGY3fa6*=fe0|vS!EbJ^ z(JbW~m0bVPX@%oHDB=zd3`@56(*It?pQ6_LY@jdb*XzuG=`8k;34O~Sv&Gkn&iwX` zkIu70XE&w9TpC@d!M?*~ylnAGY$5=mi;$V-+6tO;K?v6?7ay9wceEWBXI(er_ zEK?`0BTS3w@)gJh5lj?bcc8qc*P!OkzqrX19)D?ONtRf^j_FZNnm&a(*@DHf%6fub zo0yo=>w7=j)^N)JtMix9p*NVONb^FdCj*gh^c3|HK0-TEnc@6dccB~&xFWqA^l~{_ z+2ysKcrL4v2Y{T?D?fc2V&t$j#yB!EVhOkfKzs=2DN44s7UF4|4`%j9u(im@$)RTm zx|@R%4wHoIM_&y9Sf&H%{Is;RpOTWKL9l_aKzk?-o7M48RLX-q(c8c2=b0kD4Zo1k z#;pwzH1C9%vzB+bx$cfr?}g%v=A9$MDeY;61^*SG6q8YaLg{0bXMGABW3pwo=UQ~{ z+mO+cZKVUqAQW{?8NelzOo&kO^Yhb%JV$m^azeN)hXM``4qmidf~7Lu@@nYnlEu?2 z8lUY(nsCsn)oER>r0Ga5(|eB}!bjKpt%FnLCR&YdEc4(} zS^>1yake`v-#nQsEgV_jL#%nm92zP9Xl`!jV?lxuQB$KA8)u8suRZonB8u*G9h1{i z7hc>ocz^u2Z^V;@bc3u)rk&B>AlJv>C0iNBC9f}O1goAjD%Z4}sbW-2<;wo@rESM4 zC)Ly2+oV#@CofXY!07L29u5?=fHCQ21zfi}xF>bnL0S8}DrO)n2i3U<$`S+RRJ4w3bJQO}g0pcAj+oxhQ@A!d*JV z=)hNn1X|i62i$kf4i_ug?X5+_Ut(HZ4y`E6{w#n803AXM0ABts2+Ah?sUKYrUHQmN z&CGBgKUT5!c5~waRdbc)@OuuE-(`-gzn#wG!HJujo9E|F;Ny(9T9q8v6X28qCd_8x zBDS<9XUVMkpl>|G(@d8)7@ya?T(j=0Dv>;c!5h{nm^?#Kz@)liwDX znHfEA$G}{4!ii~QWQ3nde+_~%H3LH^seMzqsSaQiE&+i>X?In+{(b|%#XEpr+`SS63QcL9i zq#RD0=R*TF(kHA;TPXAGo*2if|5-<_UB88YAaTf>Y_{rpXZQ=-87_cNEJxPPmuErk z-wU#;oPq)-z#GPQHif&_ zoT0s?db(MF2uZtpYDXEKf9S-)q~>|C_RF52c9a$b0Q;Tazpk&IIJ@y~(n2elRLgIB zOhWRp-&_!GEvKzL!>^$?KtM>?rRP2mAyZ-j7t2dYt>P2FyUsB&x3si8Kt@i`RsaFV zvN!K_vV{^B;j*PVMQuxCVy%V%gL4ynWa4IjPlOBmguDJlzLl^x&sya*%E91v<74f` zB;mgxg#;PYtAel)hEbqqczAe7#lw?$adDwCySlpicd_-}bCK75PZweqMeZ(4q+%$1 ze+~l1@xzA?FRpDG(nY|IE&7A%xp)OG+=X^f&T$|w0N(DaT( zxvZp2n`Lf_^F1X+OQbieEyO#VcUHb)o0d{9@p=~)X7l5Ocl0x(ss}v7-DAJ`93VT= zcm`#9e*P4+C-krZ9q!ex7&a?Wu$bR5l!NkY%@T_(zOssnbllttk&%&cJb>-7_&buj zGhG?_;lqQyhHcizj~~mO{T(Ud+0;G}icafWdPjtEuT>e7ws03tlj2!rtCGdGN7?;@ z)$Y-wT&V|Fp2rUc3Q0Sz& z_Dr-D@hlh4zWnVJ6!J!u+8#cp(t9LCx%w|vzBh>p?%&tNfPgEj)IuI0dSdw#B+4P$ z?qF0`Jlt9pn$K3q z5WtwH96nKTCLK?p16Pin$z@_5UmtT!o~9r}cGxF*xUGB5{rTq}y9b>gYUzC$MnGmP zmgj1W@Wav8Pq}eC^jU^8UyI)fZ2H_WKj#X_`|YxF6rHLgCsClJp=q7w|FDWJb!b?! zqym5sc=WkHBN~%G$5fgIRyAja*8RZLA{bcXX z&MXiK9Pwr7L7R4|&0*#Ezp_A`;9Ms#X3k@Sk@ef`mWqi-Te-ji1RSQ!Y$iYP*Gld zv9*lyE0OU`eQ?Eb96}`0SSreaiv=R#@y(Wby=^9OYiWI*E!?gWUi+Z$vyzYq_rBB~nacRKxqN zhy^|U>H*II#E3JX z@20=l4T0_$a$@R=9*%&)s_r7!{#Q3wKn&UW95aaMr$u%ms+PPP6kPRwytD6n==w3) zP^OFChx4yWCee88Rg3;Rf#jc{jAEx_4Wvn_hu|}-OkgfONZnZ%$ZK#lE5bte@0@4V z;y?HA58wJZ|HakLUeM6n9G%@y?IQ-(8}A#V1sCoU^sG{`v~xPB^YCzx<=w;=Os{<9e{t*w zm?qpOjAdh0A+eA6AF;Du9PARJh1Q)#aYJ9Xfwgt`7Ze6#jb^)Jj4NVW*ItJg-Ac@9 zK3d=<7Oe`V_vHn`81&S8%7M8&E`laM?q2M5!3hPDYb=>?`sJ5g0y6-EeR&iZ=wdtk z#cdnUk>gD^LX)?*GD-~=-QwQTzJV=gBS2{3i1M~!EhJ61%Tug;btPk^(SR^LZuQ>? z;=YD?EFINAx!}Wti{#fo!nOfDtw2r+vMR)`tMBkxyU9`;BO)ixERjCU_$@FwNK|kS zvNF-_mi5HG=&LVTg!_^EJ@;7K0g8Hwl5$pr1l_y0Itc8yy~S&U>WiDh)GHLghvgmZ zvlj^r@z##^6TB~01#M&p2fmqjJT+Jl{ggdyv@!8)Qc_WFJXD#Gr+W#wfK&= zkqkFq5}mo)v?meocc~3lo8c@yL8N`J?X9*^`KBj+?8gdi7KPRVP8eurcS|WIKU1-I zRyI}!`V9U)3EfcTWPiE5bF>#gh}}RD!`sM(TRYZlCSJmp>TLzgFz1KYs36k zR$BEphZ)s3-sAePJ0~rhuOSP&H)g-)oE8|V*F8-oLgTbDMfLobadRX)Zh`ZBa=nh` z+!!A(n)glz*Rb!>1c!oh8cio@`{xFdbj`~xAY#CClvhN&_1OIA25UM{d<KHuY8kN05UeyBW{*k5VuX?}0>?_H&8#~aKnTSH- zON<{ZT-@b?3}OUA^QM{~6=*6ZpP5kyV+V2Qr5#;%AXHiDwz{<2)$$qe4x)M+?Gip; zK>(p%fppskb}njjR(>p#*n=M~qo`t-PY)$h;PF1O4n%B)!FgR0$20x&Xa}bPwT`pd zOO)vRR%O?XGi>S|;<_^}92!!gZ#LPJ@64#Bh@D--!z_TwPE)K zbd^Deqgk7Ktq{<|g3keZW~C_bzkbYDTuv)dP+&&mzel`Awz|1*Ko_TD$Xid1n~w&H za2IC5nAyea;OSm>B!|hiXCimb2B{A&-@Zd#*83uBQ3h|f$FM0=!5ws8{KUhBb+)<` zKHAjm6f?aZCW8f*|Na9K1M&5YHCR{IV%KjQUUzst$FRrj^TRHy@|U$=3z^fn=p(v2 z56%x)!rx@TKtGBQfB_!p`|SX&UPu@<^rFMmIFS?4|FD!DLrRG?i`H0x5SpBc4CX`w z&Wr-zE?OB9RW<*rFX7OVVEx!>Y&0`9pviJDo`^TGqr?j$N4^v~GyW%^9lXhY{r0?V z9OLS?RT{ygjpA|uaSd(;A}Cwt$xyMoI`@@xup{gUIw-Ft5ZQg-PzSr+iqfqx;%Txj zh30VmZfQyF_^d#Jd~qW?NvNxQ_j;jg9C9c3aEa@k-@bfp>orcCD87`_E{! zZtQIOlg|UpoTk7y@d4p7x$-)$z=M)8^j<{=PlYJIpV^qB7 zcCvZjUzu(Yyl|ez26CWS>o09i2)CeaODSagIoYf3OgZwE@IzJLd$OsT9~&alIniZW zAQb%J9~^2jhzGbJ1bkh0r;4E?GC}V?&Z6}XzgX*G!RH?ejZ=+?*jHt;lc zCHwf`+bwS$RB+Hgs)aI0x&8v~aCOUYLA_iCw%aZF+RzanOIxh))xc@Lf%;H?VoJCXElgWi)ciV!kzBUswxuFzxPXm%!Us=p`;P$ z4kKIKB`YzIU`@@cjmndfMmpHr65df9bz-fZCG+TYCt5g= z-GVF#8B!td2}F!2WZYw^a;3ssOVx=83oX-R782$m0kC#Ie&j;rZ`d>)=wO4dOH~hg z`U82*yzPw6T!UtXV}`3_Fazl;%mXMXj?j1MHE5|5vfEayizXHu`D`Eyx!$kaT9Iw` zwwUC3*q@3(mX`zjm+Y(!cJoEmYH(pu(L=m#@_Z*D4b#8&V~~E~I{UUm?^#*h*CDro z8{J-=VuJny(0_oY(eF4O(c6u2phRvHBk;kAD+IY-e+w(DBuYrfEmF=BIoTWzg1Q>-w#V|H zOzJvgahmu27!rXRFLjQq9#?1?GUiCzI-CPlE;ScB*VCnp*< zHa!hZ(3dY?*{Pc!-9^IDIy%ESga{xZEC^)HvAG zBm}-so`oXM}^z8_@2yZ#l21A(Z+ww(mGeK|>ia-q~jPkB2D@P5dNrh>J>N&oqn7DZP^gFoj zrHs71ARN7C8u&!rc1dHhsJ{s4QLvmg0#;FOe{^y(37AG=KoF(svewKouU++LrH?q6>VWb~4|&;9J8 z^zYjo{x*2&+v;~aFb%IT>-{rtk%7B_{Hq~Ac#*&LQ=vA`WCP8~!GPfY!GiaGIp}rLD`zS=IlXv7uK-K0wFX3p!H6F)3e-t~+MF%E*Kw(- zazI1|lpb`p6keNDK#}wtgRSYMippcQrUOLK9%TVEX~PB0$%9S}t;ZmT$tZ?BJhb>_ zW(&LM(g;rB#`?o z$#eF(8cA?tTtLamW&b(`q{u$4@>y`^Ys?80p`C9%*Z7z%t~}C@`4a7w&D_x_bY(tFqEicPxU7EuaF*#A)NdMvA31tB-#`aS<1pzDj~7o z-+#v5ji35GVuZKV@Dq~i;Pbjwrr|uwZPeHtZ5TJD^2*?`?CrRqBZ7WL51YwLM z@shQ{64ql_!Ze#BLdiu0UXNA=60U<-Qh}uP$9`+0nYRO;AseNF zGQR@jHwb7|x;F&BpzAt-QM z^T{Ienqj4af^;|*MoEf>s#Iav{t5)({7O8{xi@*`OXRSw^R~chC?yO7$aJ`bzYFtN zPTK|PHd!}TW_loLjhxYcL zGL6q^OKb(GXCurBKSK|&XqBU_eaV>@F-8CmcH#$?#0f$>LK-|xFG?nZ-BCv8*LxpG zg128ZV*;5w1eiMlxKaTCSJsjNrG(0nTMybuMRzt1WQ9*yRY-x2^x)foh_MR)RM7*D zbqj(F!-a3fL5C;huzG{|aXuDUPKiF!Cf}d`_)u`?O1ee2bs!rr`35M$`dDQVTmDggrp!7UFiWCCTw1)djaD;;1Va0!LTAp*>BTZU zecw*H^n+C~V(dEzYhN>KqYTb742QqB19ZRQh^Hwed;5FnOb*^qQV}**V2-uL;V452 zGiR2iW+)wkb{+v%@>ktO$MV?6!P1x~cE$yejS?TmXt+6(c>Si#z)4X^26m2CQ6l(Z zJ>6#C(K7;>*Y)H71DFO1ns?;?0j5EKU#yyZvU^VlP9I>6v#HFML}Ht~ZhU>Ti+y+Z z_A6vTOkhDZA+`G&HY#2~&Pi+$0kO+idB)*?)J>xAl%aY&2Hg7a)boI$v)3LZk6Ztl zCl4^QH&!p1V41fsVsFF%WOOPA+l%c)`zuNe!KHYex$By>En9u9@t6KW%TdXp{ogRDR zzd8IK5Fr0JG+tTAm=oaJv<};A(>C6RpcCf1suu?T1;_{Rm|>^a%HXz!U8@)#nr8eC zQ1*qhWUpoQmq_I(eFPL;l&}tr-F8@g2m5yQRnBwpo)l%61Vl0AfXcED61kzBoErCL zV~S|GgTB?j@R7#^O0RABYloRJ6^X3^P}T`?RguH)bsI8(AAvi);s;)&*Lyeg1w=-% z5e*PSR4nEfTJdeu#^4@GB9$%kM&R)5q`~276-(-+4`U8c(;q>pdICUm5IYBf${Ko+ zKAz^*`;}K~XE(4EMu4hSLb0qTlb18v%LFk&hy7#rf;Tn(_cj$mE^8!Q-=7X`8+;&u z+G1<6LuBI)jfY1-ck1_mC0Pz(Fa8)HgTyQRrOu%k#3vJT}YSVy)yg{|c zBw&D{@8`gUrt-KCvQVSDgAQl`LlUe7?RqFL&AmsI*IOpUB$pNhVTkH$SjyJrl!sH* zF~S_svN<1gFhYmsi_YvSd-(cRM9cAAThOvgL&_Mp0A zds^6N>l}~;LYJ{bJ}|e0v4y3|gmI0Gvz7qY=uZN<<>r2WG|jZn3B+aLI%-EkA#K-x&}aK}7^ZmJetPCm-+eK6@4h#Cs|cSy={V zz40HddC9i8KNR7?nFm0-r|hXH=sc6dK-ZU=skRM-C0*%Uq~2b();_2mH}Afvn5UEh zNyfpXMPCYMUf)@#cJ( zWP*f!pi@`s-`WeDOIIovQ69{BY)_V2OqChs*5HuxL~`3q=&DfxVY!5q)W}y!4AAdv z2V3g3&HA4mSjp%47d5X(jJx~U!O0`EP4@mCHOV-}Y(8Iw6uuA@G5Pv`_gI;W#?H#h z*Z~$V)Rp-EZmhQaAB|Pqw|6%Jg<3cdcVWTxpDu!d@5sdV3Whj(cG2TaVP#&vz-=Ew zs-yldF#W9*Xw220PUwUKDKaRr`m#i`Kx_SY#-=pmTsTJbjt>H-y@5!m1vi(jiJeE+ z|8Y7-piuZdYiUZ`e>hK1E>4m1qhbSx~p>4mI>Z$FR!Q>ZonS^)}f zFtw8}S@30>uS}E56N_xo2IK)1TF{YcM5#epO6d$=Bly9aHD>#N#ptCqUoqRCQc(qh zR-O8+$hy$`RDKIblqs%35Z-dCuG#G6<6jy;%B#l0QyldC+2_9UmS9|@>3Be}2~1x= za3u6gF@m!i;<-3ga+zVsuv^tl3sFhfA~!*T=o~5O?^S(3YA2_VJhqwMPN#qLOsIg zbK;;L`1$iEcq9X8-$xqV_apeY^2?&X{bYEgv=_RT^<^AZ$@Dmu8mI>bq(vDjfrtrG z-uusw-TtzFeE5=}U7SL6u&$Akw}@C_6`L{Yvv*IC};1p!lH;9xcz6A(ru z?E%X4C*L#*A3>!j5B}}lgs#|%8t6}N6Mpjl1CndbXZciAXVua~n8K|wlN(5xu3+qn zuX+a+i<(LlBd+BIs0;Xe+uLWJtidIX<>;OL8NHw5;VOS`qgGO9>cETY`3jJSuF|)w z7KQo>VHjtUEqpEC2bd~f51sj_F*z;0)H_jp!$?&gH`aN6hBpq|C@@{~b= zjyhvm_rBQIFJ}JiWM%vV0Ku&>>+>+FmO2e^o(vCO%L*0okLB#WHjEt^AS+np6!;YG z@%heHjCekm5gX~dZ~fb2OxX-D%9Sf=fTZvDsf8Td9)JN{#`Y)Q1ef8q>q*UBT21_& z;96S;BSw7QAbddH#W%?fQiiN^E}x)H)%Sr#=V1DQ_9f5EC2UWJ>HL$A z0+Pr_3+OQ|TZmn4u)_$iD+1|~Xo~0ajTq{nUxLRnZ&)1%G6ACwNKk@FVoDAFz70tH zRJ){B&8i<|d3?YZj84^ylZkp`7+b;p_hElS(6>i5KGxt;IZ^EXLacB0XMzD>o^T@; zT8|t)_6V7PzZFm}Bn1W?xxxSn0HibJ%oTcnS2YOj{{z_DBAq|1kT>VudzuDO)|Gu#EbPKZ$(3=&Y`3)#GH8!v{gGQs*Y!518_$(X=aFfO%EuB?0 zFKH@?030_83{U_ZKsWhcgag=f<>>!Hx9fu0$NXeg-uIp8sD2?Psl@6X<9h#vQV+>S zb?9tnER*Sc!0kG)f?4(t4ax)yasNX)h3>hPF59>u)7L*kXI62X{}{TJg^Jy;LA|o2 z&2t3Ld{vBaajgLY;gn*DOwJat*nUFPZ0MMxM9sU~yu9kurp_cA0yy+9= ztcSDsu@2dvk`1&J(E`46K298fdC+MtO9A%;b8L}p)czyBUKTUYNcFTjmO z%~|`2Fv$+|lw#4rH7W=Powu!@~LA^=uT|Cfp;Dojnxqm1%NXcaOf9|DswT)^RufPKcbY+KzOCtlxD+rdi$-$?Kr zF|aVjfK&n1L+dJru@S0sI+hwjrj*_hJi@Ao#lgPj!#uq1wPk?K9>KhjI6*;C=xf|)!IFnP1UgR#hv zd+0lY3nDvXJn-u#`8$}pz05pfek;JRVQMOAzfbF(U*f?ASr?@Av*&@S2f#cG;h^XP zfk=lE`;qoq>b=do-q{hpp`_-&{7to9S>VE@i-Y5kRv7-L&?wo9rQV|-8cgewa(S>+ zz3=Ws%Q*>N1e(pUTf=*D2ROm$TvNBr(2?Nl&NlPU>+me8wPe6sm0p08gB-wXswuk{ zYrs|5hiN78ztO;Q&&p&@!$E-gByCtiUdjV z>(5M79Z^mY-SfYOhPpo;8jM)PHhX-&jR5R~0KQBB2zNm#47sejrLO@!jxA1GgnWEA z-&;d~&VkF$H!M6PU?RIgj^5?@_nO%&$q|tv5e6mv1E5O>2}uHMU(1lMs{TJ6ow>x? z{y(7jM1YjuK(mvo8$0F-UUd7fdHE1A7Vq6gad+0cUyN7oCt8sjx4mKYJ?@A zesB^n0Dj9~@K5=v_@6m1z-v}mj~5)*C<5JRqK+L9FJWsIs{@d&X5NU5K>(Ea(7f#M z@UYKWN<(Ku^~!=+xWP;P8jxMOCF|WCNK<)#bS+2fZWIl*pBP8~|H0@lW^cfxTO=uO zG&Iful&OxhwzZC{QM?skR^v}1Lkaa)oDWqYpviNV3tXaG63h-B)(&UDJe)i2u*pQt zoFr8UwIbz2B*(!hpx4Rf&vbrgxf<84v2dG``Vc@!f4*M$8H74otix;GpZeDN8qo0F zeSK@&rLC;fJjNXlA({AGJ$_^E|DK=&n!C3*0XZ8*7YsKCIAIN#b_S+Ug2csaUy9i; zGV9+n!Q3bNty6o-)ku5z2wCOKy z%6-MSA=69kNVZcS)# zaBQmfXO;OP#gNr$+@4ApP2M=Fm&+k5My z95MkVC8e>6Nq9^QTeYx=NG6!()~FBjyS)Nk2{7!fHzv|4d4VF9R|x81FhT^bE&=aJ zvVXDEQ^Fl~rh{J?KG(aoaPmsYIfXvOfyqUJ zm#<3xId&yzCpJRu#2Z&sSw4r6x%W9r2L(H%phD{cjU$hZ6bl(}VdCUjje6qfB%}l= zJAm+--$Ee~3=$<3m4a3bD20-{yJbLag!&Q;^QZ9IQ}|!cE_!U`=UI+^#{we>(4-GF zwxX`oSni`SvKKf%qf4`o0WnKUO~}YoK{a`5Iq(ZB6jGL8?C-{mdpQoi`1m<*WVNjB zc~tw#N=pWIp+U$Q%~B%7jl^1i0&?+BDZM>CwVXha1(1=Eo9s%6wJ8}v?DK86h+|g^ zA=5mF&sK||f8{6SAt?xh>VUpEM3C+w0A5W~Mb5R47D8U*V+<8qig#R3KTc#L704>J z$x!Bqry@^fuTq6nRDjy}7%D`<$SM^mX&vML(1qx)?&MnnTrfsHJbW=#R5X(^P&<2) zo~kAa!kr$FPTHs7xCwt@SYgx-Mgf|{XRu7YbQ!xqkbXKwK^)(;7R0*|r-DD*xq`5M z4v8Y!NMhMjgSeQim5jIEAOH(Rf+e%2@wzk**SE+58eT~Dzwo|2qkxaf1Yz3R0LTb; z<(E#-pb%{B`c{F{tJ=EzFQOo4%Y=})iZ4hAXWYB!Mo9s}lzuvvkcFa{3E)EF>KH!t zf7xx$$pDdf_z0cZ_FfMXe68{#^fnVU+fkPzHi~B3%`|isom5-m`DrEhT0)U7LxGDHe0s?VIT9`N~xz9N{j@tjEd#j)J&La+65+{VunD{`@{ zACJ6h(5boyXLGD`Yu=t*>jX;nnGqdmGm|Z1P4)%a0iTKu8++Q$KIOlIXLC+rvb(Sf zCJxfYEuz9~s$aTPeu-mZZ`KJOVsGop`I!41%$r_oUQ+wqyIXQU+|z`5xGKHanS7mW zlFMeh3noDIwUy38-j4K_9AD+JF$wBb>g)Wm2VlyUk^!f!h&2EqzUF06B6KV11>#b4 zTuwVZ@y#`~&-j6k9Q%vA8qHOWTS)SOq3Dz630vUc_SQvBjP~V-j(F>KN+AHw3Qa;7 zoKskUmEJVLiDqL=9nW|*OlkbRYSFWmx1~;i`0>cKocnJdb$$v z&O5>RWcGe`nM_kjVvTy8UVeU(7&u z>RJx)cMXn2a=5*A=y8P%O!2IB=x3rh!=>k-qu;c5I#5}~#~XMx1OSayhZGMpabJo2 zG0KGpW81$2QeG6sC^Q#qG&<-~hRT7h03iJWf>$lzSFJm)A<2Dnzf^2*nu@{C=C~J1 zLH<=6hH~LKt57gi36}3Iw}@QY^}Z8DwdR#!@-z@~kORmCV3~kD)voXW+jTT3Dq7V@ z0pmPRO~U6*CCU9&+7#)=my1&6Ewp_vxE$XF2IjTkiGLduexjZEFx|-eS-F$vhl`xy z;#*+)XW`8N6T2`C>Ej=lpPqv_GdEef|4Ty^sFdo?rK5VlZ_nvu$2|KE=gWKY44osC z(@DO%Tzd&z2fCo?Q#*XIvQ|U|E#Mcv86pUrf&s!fcNLFQe?zC+?MWQ+^XHR1dA&ec z5q&Qa+6ZKU56C06mSo^dskjPCFF(Bu1Wd)6aepiMW6{u-^PgeFkVmR8G7{%qn(aIK zv6A%J4GyO}&j7W2t10b53-~#-f;4e{$U3v-cp@#hH{#3pac$q_^Ql)_qRrRw=f#|` z&1-LECirau&6%e>%*pPn&HEKNB)yvUHRQn47(nd{#MHclLD)3?K=hU~13FdkB;PLi z?@weDdW0;*x`5DfIM4N=Zv;wZ#L3X*C-8H(EWVHZyvPOgkXJ>Z_HispJP2l|*AYm4 zjx}U|+WaPbWQ<<5(9s;8*^-N;{m$f|1U=8X*0IH+hX13I^A2lj>(V%)*iaCq ziw&-zf)o)(yItWT0putbktBIA<~4v ztfP0nx$}(QJTv(Vcn&%H?7h$0Ywz{GzsY?aO1$f9$W|q&^bu(7<2kLLyQbW%+1Qd! zj^jMu(HBC@7L49y-Is=!9+E^QrLcy02F{%Jd@aK79=j}l+R@2f1I9kRmNrtNCIDm2 zEMGzy;nS#UZ>SD9?FmeGl!B-*KURuCRnxo0)lR3Q`surOC9tZcBjxR&mO{l{#c7ss zhozS4aX10H`X($QCW^+j`%vIRb^P4Es`feG z9i$*rZcG>Q=URH#nko0qUYc?vGHr|UF(bnz3zoNCF-1P^VD!4PZX9vJZNfc7HqU-_ z?|eb+nU0xYAQl8Rm?wb}5IOH?ByzC`Dd6LR`59rC|ZQNoe{gUNB)DbTiW`pHQ>-Vio(N0%J2R%9>zRN;MV z9`YU9=8miqdA@Q9{Wh>n2J-#{0s^MgprdoOV_XXwmk)m; z!SF0~+Da^UKOVn7QfrLNrKiS#i=s7%u^{F{F)w@AhY9Q5K_+?qz>L@6cLDAM$(rn- zAWvkWIs0_;;nIIq)P#kLeupR#(X$iIL#7cKB9JGprq!Ohzi6MFoIJ;1h=7R)eEm@r zpN3!_*uafZspkP5ga-q;7IXa{MHQk=gdUY=nD;NHvSk_~77OYw{oglez^Ah6&d>!P zU{KipGxPQPbmkBr{;jwEdb9ri{*dz?FIrw%F__J$XUHL?x!Sw8q44%p;bo`aXW)~3 z$*G`?fe-%`0J0Eu37F5nw7$@{UOhAH^$f%+r@&u>7~!D4(njzYYJ$p&R#D;Kbrkhx z1FtB^EumW~VFUDwJ=JlBGN`q>(6hi0B7;Zg7<@iP69`v8wsO+=&s(jrGWG+d`2)t_ zPKJ%1MA3xtGM6PItx*ZB9E%sOp z=EA*u3M>Z{-9JG;-ujTN(MnL{1J>2nUHrA+*=sjx0sr214h~5pfPJ079UI#*CHEja z<;NM3dVPw)WReM>DyD4SNs~XiCoS4Iex;O1fn8BtMn(qd)fEP{tJ?cM7|eF`WsLrHPM) zV!#-(swPSAf|>@H8f~qbpOwG=!gj;)ZVspe;adzQO;q(?T^@yj8wD(c1u&8>6O~?o z|6KHPEDOr12ZT!1sZ1!A^w;>Fg)7bA3Z#-!xk{^0TAO=!)Zvv*A{q33P#@%k8p;4* zY`|sud`3Uj6ww$;1n85HO|iP2dYa>oO~}arKo97xvh7bIBkPXFnAQOXCnz*@%i*I( z)4F3NKuaiLRPYFjG>pdmP94AsyXn1Pus-+r?DId-`1#)ee8CB(Qt%OWRo(Zvo@06u z>L{6`dm6?A+yduvo|Fstn6OlB*dvixuT3IwRA4j4(%O2jkkDmK&8_Foor5#ZqFE|> zuFaw&Yuf+=IV*(2LL@82?fAn6Q9D(E84FcD2#ddZY8>QXHruxcxNB_Yo*D&YTLiLN zq#zPI=aIZ0;p3V(5>;m(t5pR)iDJDU4MG*5)rlZ~yjgwsqV88&I7xy$s+OIFcr&;W@WEa0a9wp|k%8GIkJThz;f|%uy4l>vGZgA%@}0!#7LhZJbBt zxBqCAAhHDPaOB9|rr39;O}2;|-hqQ~-HTu`^?}oTN*0Sd;Pt%%NGpAk%!vLlUhCM3 z*pF`y0gw~1i3Dm?=bsY*qz%HvOcPzFr0hhsx3+L544ZxA5i_lPZ+GmSFFZUc{_{Ua zU_T)&*J$S!-c&HghEZk@|H_t`eVfi2k{y~@MJ{YJc8`xtZ29YYCFiu!S-z6OSfb+Z+9h$m7{zC3{`!Jv!TP}<$?jLhtcLg_GybEw$(wZjw2=ctu6Eu|!JO5S z!t^KaXr{XqQ9DC?B)7cN{Z1_?7FZk}#`d;T?^vM7*m$#T6$fTkik7IO+7i8;es6AW zhB123xTmAO>}Jiy5A8`B6v2nSB6*X!@?1J88<`CZH`pu2zLh5LLj_{rJc1H>&S7d}UvbqT>di)|;ds^pWBnsKI6S*{1?R(SDU?xrsGMz0&4*KN zQ&@<9n?RE2OPOw|dkZ@36zkbP&Tv1?Ycp}}mD=Z_?)>_FQ-!EqOK z9TpobBkKQ2By3F&-xSDL=$1hl`w3QVZr&kpbF;ygbwNH*XZwb;I+~29K%U`ek<8+mi_`0Vp9d)wbCyc6p-A(0Qjz0w&bc6laKL1mrKds&zVUNqq`?X2tDZ+|kK@El!SLECJ3kz%tYUe?Kwrz+Z& zUB^T6e8~;ZjiF7{p}-TFA9)LeM9}a#eQ7V`!M*gtf94&-H#i ztoyc{Jj54ekM)ad`O9#4^`)8R?u0IOnEPB@V(~GI<_k>GJ-uaX#SMdX?R{EPGnuG# zoog0Jfec2{+K0%r?>Ahk5awm+Q`w4uGj_PqMUHJp&%HxgFlYKs`JVr9Z8wjDQ^E(L zi;qW=w{Fv-&3aC#1J4j2&sqXwHZwBu#=N4WS18ZqQA0JPBU8WFUfNuC;k(oYkof+e z*q%RH`b$pbzk`C}TkYF4KRh1*jWpm9;KO6ER&`@d*+&H+pCDys0X~d$*?*I7UZ z1&&Ai>irPsqzmJsz|w=PKvY_K4=lhAt8Gxw78ds3yp3ZIH}^G%Rkx!=pHKyrCF&$8 zV;tuTzsTXe0?nR8MQH%sB+s~gBQ=<0Y6j~m_~DZq7Y}iBe|oyXMQrMd&?QmVm6-f) zUbObEi2PUKxs~GL4c|H-ef#HQ@QqAQw*b}wB&v;JwUryhDu=MXOt-SH&M`Q{tOC-6HZ@lQ6zxcT&$ctwh0?Q#&tmu;m6Qwz zH4pvMGaZD%v~{;&{rjgPfR2s}^vmONYO7!}DO3Nb;B`|p}qs4P$n-601 z;r7oWBlQaY1b9sJiJXLl1R-;Cb5D@Ri+2wVk`G;5=MO1sL7M^rai5s>Cu*XvC>$Nv z)v1EfT2ot_j2|A?rskg@8MYoEn}zV6^ju$|8kIO6fOL2q7&O$W%v@{u*{awh{l`OK z;JV?DKFkF}z+gF)yU!XsD(aI{bV&=eK}xK&nd)l?$o)5lxWNXgRF5 zVAsvRL1P>3D*2<7s}K1szhw!97Imw-^{`8;tj-j=P)aE)iY6N29|-M9X8fAQ#&MhY z#jj_foc4RDMDU>=nCRHP4hI0EgjJ!;}Xs|0A{oWFJ_hE)IIaX&3b?MRzT60? zIe`p*1Zbop3JT?|#k7006Sz=l84GYaNih1cG8UQvf5kf=RJJbu5&|5KOH6y>;D)E6OB_(v&ISN9lrV&_yp${IgSU^t&n(;SUL?~M$ww$B0 zOEVuWmRDC1c7*)iefz>ZhQ0fMmMpKr{H9;Xkz@+*CfIx$mS+mvL*Yf{uVF66)B7zV z1Rmsrp$NIc$jGP>syJcrc!Ce;5F_@3SLpQO*I_6Az}3XF?=se8$|-1M*AfOt*%mAF zpEWOCy42({)%`kBp62y;oJ4A97N47=8X?4mwZ)&=ucJhNWL9Jx29+#U2?*E%f`cExFvofZ=YaEiMzUh2KyNli3hM|euE9Av zUBxPp^dh0M`FGtb7A z%o(Kl64U)G;|Pz?cASiaN2)e;4typOE30W>d1~Y_G}WEgaO9_X(}E2a`3EQ02<;#J z8hFSl4bs8HNLZV=oORv43;bB6IDd)l{{JuSusMQH%c`$!GOM|#P-ZSr%vmmKXshR_ H-tzwsKxk7d literal 0 HcmV?d00001 diff --git a/doc/LectureNotes/_build/html/_images/week35_182_1.png b/doc/LectureNotes/_build/html/_images/week35_182_1.png new file mode 100644 index 0000000000000000000000000000000000000000..fd05d5b0a8abc12cdd936f3747f0f3fa27fe8087 GIT binary patch literal 27987 zcmbTe1yoh*+b;?z22x5$BL*cQ-61KRDkVq>A`Q}E&=Ml4l$3z9w4`)5(%s!%_nG)V z-?`@-=iG6|9b@mo-YnK!bH48rzj)r|t0*stg+YRWf`Wo2^+Ze=1qF=|1qC(c+7a_7No;Pu3J7)w?RR{(MA46O%+Ocje=rYB_;M))ggLy)ZPLA>3-Gb z`m3IY_mfcHd&pnAj4K*KFZc6Wcj(XW*Q6b9ma->H;Su0}-nxW}PA7f+yX|M~`yM2> zOzwCHI}Nf{3T^#jmbvxhPHB|2U`Jli+Dhwap10iG%ov}&s$T-_H7XBWk(o;mWvH-vH>Tb>z&T%l-a2Do0M7raZ?;){g7fuOA#9 z61PwDusG{(S{~H&^>K{fxFIPisrBN;tjrscFGkzJT2bCJgZ%e9=5z!3h0I7k%8udx z?;k0zBexMNM&4T@v8jiJB;d-MH*dPTyE_+csr_W1#I~i-&T3>n(>F6?jEKCUgo$5V zeV2~Tmz2x=JFRqVpb9=ZB_(B+P9;-ine3A-Q$caY{=mS%gQFuoxXz-Y2QIbhcZ?e` z@(lr`T$Z-BwLLv-3YD_EP6AR=QrvueLROR5n=WvdDyr6*v>3$1#3SX-5si&c=$~h4 zr3wY%PBmeu>c)2&E8?RoC@7GTk!{&#XlK*hyLZXi+4(Tp5P4QQ=@L6j%c}Z%uk`2H zB!VHh3C8rFD>MB>in4L5)pVHyJ#b6z2`wU9*~q1=hV1Cw@h7^-mixHe^Ar~(dh`;7 zJ`5vF+A|;kYiw*R-+c62-KX1${mV9^?cK>TbV>;xi)aLJ0ojZvgoM21)j~J-2OO5D z&&5VWQ#yvf5p^WID76!ll*A(-sQa6#`MN6s{hoyXcm0My;{uJ4%1Zd8DY=yA13d2c zpWWuPUQqT|Z+9J}v-T7>9x&7XRv0pN1BXR#m(GcqzgDKl?iLB5S@(WHUS3T@gEy;T zvtp6?3&GPJ6;AV!M!3BCZ(BN)yjN`ruiCzG^YBd0&o?-)mrE)u-$E(1Uw<`G^}e>D zfz(N;K8O;h%8%e->ho+0CMKqXgM-c#1xh_VJ=r5iczAq@c-<}+K_`^x0TJ(+arJ{1 z>%8dWUn)r$pDLM0^aq+l#2QkF%__;`>N^Q&T4N`|88vT_k+uGQyZo-TWp%DSMn+AI zs3n|Hf4)7&pPY~IokRc$i%~lngrRR>AT=-VHx~VRl+VGzf0Cp^xLuFfNjXjLu(EzZ zy>umVHxKrKHd3S};cJ;KR?I$m{0Novv$51>-46_QYY!D~7zp6RXzL#7Ja5dJmPA#p z@(`+dO}_APsM%%NKsEhYfcyFB?RUZVBuNUdUcUV3b@zQQZ1UzZ$L*Ygg1WXgEZEGT zpdcmEk5{l*Pux8*2qO9HnW(6!yq*$!!lNs|CKh9zZ#4~~hd%M*TYEXY_2OF5NJ)0% zjv85j-?Y4*L}2zqVOtjx$-C37xADKW5DRH-yy?$+fdmI^$;8x@NTu6pvHdzlQ&W?I z>GVufi0xvx=hke?G`zGu*M?ebxB4xu=C;T+rFZ1M{)zpwbgBWp@k%wnJ{Jz~I1_0X z)xyW&6SDX&mW(j3F7nML+RV4##Ko=ZOMm`)yh7md)nNou2s9tZ$=GoR8>Mu~(W*1;Y2oqL?UCmOULs{$ zE7m1(highXHuLiB(L6P&N{QTdD?}QZ;a}N|NWwYKR*S~{_lgP%+N_;dw&y$WNJ(3I z(^NLMw=Yc$^1~}f_ zNnR5zyVshs=wJ&)H^a(n;VD4^6#mm%5IU6_+@7^pPilM zzv&NzOl7fO(}G;`(a8K^w>s4NjpNhno*y^y@oSkYPpU)dRQ!jGdsA<&R~$15IPXEt z3R&z)nO0NJLzkV$yA#n>A_w)QP{qnBUty{Oa9T+{OqB@9Q zST8NV>VTWhzp>R8(V-YE(3%JD8OiLf_0!0To1Y&JWhcRct`YBgya(+;jW_zP%vQAf z+K5k;xsrbF5`_gek83njJU0&(qwVESoVBK?2Wu#1oj0MPfkSJWucGBzskcmzsyA@>vq1tbTBT)T@baVX2Mf ztDQPy?*9HILcHBoJS*p2t8TCtfk13UB6Kw+pA6DXjDni{`(ni^dW%H^L#NsM3TDZ7 z?^nez&gU#p_Ig&jKSdVoN+ENMSextDA{!sm+fTwKA{fY&_WpHUjABitdCSPkTLozI z=|i2a-Pz&TbdvwdHhN@2zm2g0vvggJ!1HTg^GFKb{)uV2;|UoJNtSt7M$^|}^j+og zR%tmM9+<`4M!qaoFl6U46Lc|PaHBzlArCLK1* z;(BD8cT+PexSMSZS&NrVAW#r^VWR@ z&pJx?lgGn_W{#)3{eyW%IEKxkljZwk`Wq8}cql?*W96Nkeos1zh@gEgF)x!yWEpy% z*abMoshpx*J1(Nr!J#F@yCEthfp%bMXli!WFu&ZeCH(T$t8C7DrW%E&O;EOoIZW^q zB?8bItv~HlSAB70GKaW@Zts`yy~`Lw_0Q?Xe&=*$kl5K5{`o-p^x2gGDph%};kC}G z^rw!^U+K1^hdH-Z)wD{iJrB3%*_?Kak+v5|##4Qj(&b%D3^|mJmc2+il^>6Et34P1 zD2)duCT=s{R~d^#0jp+-Xwa zm9R*a`AkMa;tJ#?gZeLz2yG`{=txA?y9Z~UQhIs`$)dEJe$rWNtgKJumKUi(kSgpH*zB*qm|WFsisb4 zqi=>49=g+-)5cMyJCNl$X2YD#;f!wv{${=4%gD^kg$~!(NAUdlb5m1O+NVG9!yZ28 zd^$j#a)CLEi;HJ|Z`|tmkvhxE$cT0I>eX+YW*QS~=D+nDur-Rz8SO{eshYNX$Oj(b zoL{m>;XeLF=_=XLXhZs=)yDjss9i;Oa(P+i<@e2MGT71i{c-n>O(H%%zLk}gU#3O5 zxlLQ~Z+Xc9FFkztu%x#+`on{=NQb?~~ZP+xGLk&C!&(eSeZsI0RmqIcD{7$OX@j6h@?^ z0>W(dym8yV@I{$JFtmsHHk3o_t?{&`t^sJxd0O)87)i3aN*f>lFaLE$r1W&E6cZ`)gmpE=y=jP^yV@pEe z^BgU?`PkE4@XCb7Aw|Bs(J#+?PHv8CZx*2|lJnWIi!+Fi)%xN&&d1oNs^#8=4(io% z9lh}1fJbKgm-Va&fi5?t!gMVecb)tUu(aOCu^gAmL6o#;mx~p$~^};8F_4V-mPX&&- zw2s>~=9^_B%1HjD=^sFk9LRl;n3_>8#xLJXT0p{gwIPL4^~ry3r8CY(G9<^G#-269 z*O(iNvNFL{CoO@4;G)F{-)$$WwHbUi@+EU%l~}l=&=t9=R1nfDbkTS-!}IjLC&Dp{ z1itTP?1p1EF(l5MW6w5+)wH)`1D_fyG;0w$Kha<8 z+-i&Avp?7ywm5{sfjKN9DvDtLC{DAx0InhAfDAMMw#Gc3DR{Xwm`8J)S-Vxmv_rEs za(HdDR4GlB-(h2-WN34LAMTl00IEoo(BrxH5fQfmKp2h`TfK6(pu+fB{-%;+&i7aXAruzEy&swe` ze&dt&Q_+wwMW=B)jkAnxl>81=XQ#(sIn78IHS)i^9Bz4dcx*J$#C67tdXoi3aa-L5 zHW$tNmVUT@dU~3e)!>@8ws!IF-`&3qWfJ)kCB(!!lVxs~m6u!D+0DT|&tzAgv6|Gt z=4V$N`9V{dn47Dg`127<6bt%hqSNjYAnzWi!U>6qaR)rlv$f@b`e1cj#U^V!Ua#yZ zc+;<#rV1-@slNOwpoICQzI1;Qj^>TqyFL7Z_^fUx4krCsZBWi&M;hAN0<_DWf+HiZ z8Q3kZ59WDWRG$9bpioj$Lh_*|>80*nw3cRMgVtdgn00TF2Az(`LI47U#M z=rvTqy}iBORHYirl;PA=T8(^TRNt?HkAD=BDoH(G-gp zLv09|`VQ(dC(o<$iuy+%?iLyB_u#K6q)WYTO13FTCs4dAG=AKp`Eq%ucNCr$_Tg2H z7Z$s5Ckh{5Da~3oEyg{`Km+*I%6Mg5bJ#zj=h)O`!n>`9bn_Df+Hk(u8 zBcr2I($WbK*)F?%&*9ngOb1zc-!9cc9|0N>9iM4Yap=Wdaqyu-=$!1`>G6KZmoL@+ z#B6F6ERq7(37Fg20750p`Hg2V>U5JFacW9%1B91=iV>F79w6-S_mm&C4AU%sh%HluVLf) z?AL1h`ob<<#s1!Bf~r<*Ni|&`Fbz?cA|JyW&F}c-&&R9N&;`%WPO(+fIN(GfK6ejWpAmDOZ5Ia@h)na!tCIx>a zz|vsQ6uMziAZEogH46Oq`b-LTmivQ1K(PWjgRG&(es!o05VVi4FAF|B+pE@>5EB_M zO2er{y>Q9MWGyXoCL@ug1zByofzthv%fWg57J^D6S@bbG_SeUQBoZg#g(M)JD43Lj zBbLhT?SOBT@IAYe&!5kfl$1n%QcCahs{9!jrk!mBHwv%{rL)LF z=j`m*qT=l6&B(|IqBL}Mbu9?Yb;K!*{(c)E-}~t{b3Lpw{D74sK%sy7vliMh*0Iac zVhTiSuG6jwU^W!YV>H=s?7r|kTSITMQE_o`g&iEYg-&-ux}@w5HYRPC|F+@E7#q_< z7hr=m;K01?=;%ni+g^6ORw_Z`R<5l8Vo!T}yPCS89aA`+N`ys<~?)XYa5 z!I#w@*S*Y8QBleG9X`WGGB#9;r1v2orc~kLcqi}b-R!s$*{`e+H>@(pBKWtv`k9m_ zAgvISZyPh$h=P9Tm4H^&-yabf8A&!RB`1eoH8v(Ve?Rhb zWo2c2>bsPN8((=w3f|m?1yI-i&fcEuTVg{0vec6&RiL6atnYYJx*6|~J0FxE zfgYirZ+sJqJaT{j{+Lj@W6VhZ{P|OMvenX?p&n9bHr)L~j`X+vx;#|R?VYdWWMogI zq#UP=@Doy{733xlCZ6YR79_jW`IS9-`6F5MSLBBmYN@IvB!MWx*;h$l%$*%7sm%nJ zmkVTS7X5%#bvc}kC_CL7_9x|PUx;v9{+p>@U_t=B2QcMWV=iO4c2IV9wyxHh63%(` z=|&CCV4)c)WW#q@YHn`s&T?maR#sO3J$visZT#bqGrb$2EUpJz&Yo#i6 z*mXL^3xXWCUF!7(*~8GWt-rs2;~Z8{3Qv-uk45UJk%Ym_{u+3 z>FA%bYS*n7jl1bX<7kcM2?3xqH8oYuHSSU~S>v5&rjq$A4=4sU1%D${gu}Jc^@EkX z4sMr&M}dJ~(e2CyZM3w=p#CZN>-Z#?jQZI1R{W${4HuxhBv|veoz>lk;4*q?4s9*k zrAv7knq4I}Mo_!O;sjk4)BARo`W_DJ!*aB&4j1JX7IMn^xq!BGj3~FD=b+!AqicHf znx*n-hT2WwMG$Ox(Y3MlfBzE3$Qykrj@_Yv#hnEz(=a|xxy&yc{qt!$A#@PY#4ZCm zV*miaC^12DcGT0oX1UNw1(XTH;OwpY$$?c3ZePtq1&W|UbuW=$c@Xg=9456Ow;B!X zEzI<+q^i;b&6kB*dw1fgnW-xyQmiBbrD}Qa!+*MCG)B{MUH!84u{_t~Zilq^YKT=|WJZM2C$H zoq4i!7$Q(2fj?FE$ptVt(svt9aVP~_L1^WH*FcKZhoX!41%PShkJwU@k}P4rhVox; z_a1oAN}Ee~P47(8_hLk+n}`-kRci3w{}fU^#lyqLr&8(W`l=&V4qEGV42-Ey%oQ&| z1aUb(-5;drfgA#%TVlMzRUKsa@cyUt1c>4Wse(zu?gJ$qdHjTggpIwuD=+s}216Ot zzku-Fm8L=iz+DFJNp6qF8zduXAj){q=ics^E ze%rprCgXl5pOR=cTzDBBokg$q8uXS}?yC(oH6H=}e+dm0gT-{1^t=sCKR$kc3LwR+ zt^{$07r#TlalAp=Cc;02h2JUhsiepo!UBLOgG4GwoW?}T^bp#3)Up%PK|=Mz!^6hE z%-kIIN9`R~3;Gv;GC;$e2bwBTeme*ZC`9haw-}Fw$J{uak7Ki$lht;d4byU;0|Q4H zq}mki+`D2*2|Xq}{J(BfT(|5XSn5!JvBJdI7AWo5J@NZG#0Q{e2^SastgI}F?BwL+ zo5aLY!otF_G#GQQ5~3XJ{1Q69KfWY*Fmb7d1n0|q2CU_^Yu6@_eU%Sy&8*&u!M=W7 zccw8IS|?3|YwZ6jdk)GE5gaDc&K(vh{8qAY<>nLw{dcd5*_CN+5#oCP^4H^I-J>#e{5UPS^m?jN549 zlrY8(-Df2wTFM}-{}ieu_iV{7<>_yX&FAb%RVkbT;{3{hRt(s2qo)ts)yF1T~8%0j+Idm#A-P1cdUchAPnbKs?LOiy?pZcx`EL7-Uu&5%g1 zh))7a;}wrr5%QUH)?qnPe#$_u_x`~J+u!u*%rT}uA(jWT14XX;>{aXdb5!pB-~8p; zq_3JbF!+fvSaN|vuvyPE8u8izmIV8y%|PaD)c@p|cN$z(>7Rx>XW(B244eRnRD5n+ z!>5{_o#9*jLwO=UjOQ=NJ_efBJ-d4QB-4^Sr?dJdp^LKG%ts(u-<8vT@iXaEAjVQ8 z`|B^dI_~c7bFE)P((M`o$yp9wRbIOlAL(R0 zpw8jfrLVo0&we!7VM$T`(j~MnJBe@6apH2`hcVsmzn>O%tfdY^@Z;FReSxF}E-V-) zN(u|3tgWpfdRa;N$E!Hji`@^j-A~`*iD_CM9vr*`L2hrqZ_$=;oso#!^3J&HevG(2 zZUQ&oEn=gEG!)}EZ#~{)A3Kyxk`r=SG;l2Yfm>#EpSAsi(#4bEfn?_5;^I$XQZQsp zo8-7Xr&aD0rj#f_?8IUH3xFWxslKg(C%_|>Qadw3W^LIL>sd=6KntDm3%0yJ6ygGd zf^dMax`19QVFtA76Qujp%!~(!!0YAvv6F${HYzKRip+*3fTaL+;>4H6G2}|xUP{kq zeOZN4vrX{unIh6o3;%e0B_=75`~!@&&gk&v}21A=jAI`^o)!e07OeEC>X5_ zQoyq2nlUCFgb6s@vUk5hb-GV`XcXq~&g#a*J=AjL(n1HACFc zY8Eo!(a5v!n9LYJ3G0Ot-LeN%xX^r58gMi;KfTSVI@^WL_aH3h7~K!lo*(n0X&Vw>W`$PNBZ@c;mkVih>&NuN}^xy-_$eT(%AU2J4p)Z zuvny=xWvS-RUP=#I|PsYp}bpyGW1h5O$6?u%cKBw5FZedCYF{=8s}>w5uxDyrK@V? zP8>+H2f2ZFb*Nw(6g-JI$L3Hv29125JfjX!*TunHME(pc!C6pVP7bDnKzq3KwT2x6 zArUbn`0V^UI~CVPN<@Pw1pKF7z@7j7`B-&bwjF#PvRk&Cn>2c>X4|f^Xxi=Ql;JpL(Ve=3#e68g$r9~DtFs>9mU?4Kdwcs{ zlY&X+BN~7d31Eq;7lO$J;q4Ea0yt;+#$6w7+-Ax#Y$43Z$UyW22qk?e&IswRN=>1< zbLX8@2sMlCg5q4;vCbF>P(o)1_Xr-o%DT(ta$rdH*;x_x%i;wBct5Wqavw<{Mju5Eu)X2D=@8q$ww3 zpn!zm8Y@5=CM^z^g?+|^&3gqlW-r zHN(TC1sZ1Te|nHMeoYS$kZdgf*NqKJun@u7NJ>r)j*d3<>48G2sEPtZ7;}z9h%fC= zDHIFH;O6byMv-}zt3w#l^&k##6njU)KJcQ1IdW%}AsSC&#r*o{a{#L)noIqo37u22cp9`Bk=;GvTOhWo6~yEpf-E5O-eB(hXrf zy~<8N`gJsK=;`S(76goVkAcA-vKqzm?8H$|U;is8n-GCs`V~1Z4{(1nD0Iy&$LJJ%nU<1UAwokLPcudXA zu+|aDhA4Afmmcm9OuS8CYA}N!BQ1^b^rz}1aNqAbm2MfDMS(CHgiJla`VW9mhBv%4 zUMYl(c*qKlmOB^4v6epVp3+i*F@mTgiH-CqFIwwZYu`jGpA#&UcwrR`!eq zDsgd&C%U??pxNA~r}u;D8o}I_<2J7G`(W`xUE}XR?gO3%V*)H@L+l{?9n41PM6w!6 z$0E0a3yWk_^$yi`Wgr*?RZ$CcgFRye$b*uKOGMNNyzML0C7Zff(f|^UsZsm!WTTE) z2ryP~ic!KD)RCE!gAVsIQK&bIBPDF!IFy__KV}ThP7ZC?$71%!oP!{%SsXTAehCRd zrG4?69T5^!db$eDG~s55SoAKNo106NBevB&kTpJk#)Sv3N5pIJHZZg2cgT?ivMAfU z5*RqQE`^s++`Vk8^VoDqXx!+@@RvR}Hzyg5A+IN?J;=uMr zz@1yI46vY~p}k9pSe`#TE!AGzw+b5qxgLDmF<-Oxy%xL73v6xYawHtz;65H)K$` zUpQ;UGt*=EA;Da1ZDTVHI&y(6Q8lKBh{(0;*K=)&MDR(ko~u16G2|i@nS77ru zj#ZZ8+dYwJtq}(DXTf(7(CwqAf7%(5hM!C`O2R6E^Fyyq0=e|XyrEcbj-8&+2OI&E z3BCT88apIrgYW!kFGdsb9V5<9ug;fCq8t>(J`|wNEVL98kGNn0e)$K^_Lf@Xajyar zuD>x*n2)nl<4w9NcQOAU{!GG&q@QpnA>Z1YyMW8A;(Fa5y7{`8+U<}QImBL6UmiE{ z$`cIVB3Nx)C?Mm)v5@grodL7#E9e`XrURd+mmxD9wXY0~R2)p*7;~H_udxwVA_7MR z3NHK&g7_h|iFvGN*eV+U&%n%F?e^7&vUlW|AE25$?0iPsLOyN-5JO=Dge-6BPwQ`%a*UMCg3@l z2qr_gFfwrmQ#*kF{MSsr^?yi%WP$3!qL3?K!J=;t!*CK{dySIssRz1uBfQ~|WLp$` zRxzN4*0a(f`OIQ&gC!=^PdQI+R4rb4u)unB^@gOXOQYfw!G*t>q$B}eFyf#TFMC`2PTb^?A5=Ea|umK%_`h)xcQ6IQn5 z|8GYu5$~zpv;S*9EMn*X(+`6Rd1(M9RAA3DCj~$sK)Hs4lLF2HK;Y@sRXHdJz5xLo z`J-iyHeNWC?F(IrbT9`2BI=cimBBoK`Ka(zKzoe4ldeN!^O{CVCy=DvqM{VQIso-L zHZ)XK@nLcS=u1zk(mj~HNK;Dm(oI_jv8HBq4jeRJV3u$v3T-Wk(4@fAV&R9a#1t?D zXUxOPYifD91z5y2&~l)C!073#;XH(Tk(9f`a0%!I$sn-9c%~ARY=)Ll5S+h)mt_g; zh`)}}gXca?z0IP~M=J%7$S;b=$9)&0Lm7I>iaTmrsmCIL**qL?q)Q~tAG(!Dse}Ry z+<)t`Dc;O{UU|NHZ2iy{^xVPhqeGjLz_!6bVj!!Krozw)bMo?>r_THm9$C*kfnOm8 zX&NL|;W4r*0L}|d2R}qbk%HNP2h(n>;277Aj>aS<-5)Bl=yIrHz;`lU zrVt>pVw&;;LI$;}u0%<2RMZ1u8j2h=bWCDa4{)sJ>Ei}{0hNO`Z#tCk3o3O_q9o1_ z`IzQ@9rrd+n_B>CgGQ$}RqKlaeef1Jxg4lrMEnkq;KyC)U_pXMJ`@5@$Y`VJFx}@vhzLY!dzOy=akgTut^Y*@M$4jK1nh$;ZKN1!g)ff>iB9ORsPiW2r6}SPqJM=cC#3QL!9e(6Z>DAh zxO-i|brB?=pZzR78DJ7Z48bK-gpD>GMr;zJ_Gl_<>UzagWXk}m=h&@kfTJe@{v~XL zmwv_3(!;;mIvwD{{n?nT!5Rj+^Z&{=lOZkq-`Zw~q*AP44p zO}7%Y5QnXk?Y`J!D}z(5GA;clMOITLan!b}2jS50!!g8lm3C`4qjg+Xm}h~E%<+ex z4D3m}pNE~gIl}XCLH(@)x8eZW*)=RIL$FSP=r^WDIRZz8Zf6CK15lhWedmTCN*I5= z4ys7vYFb*F7t`U)i~+T5WEB*e;<2kKo{D)gpKNslK?W!`uq2sqnk%&rdfFP-fQ`2ZkV`} z@WdB(a&ih^Pe90@BN-=tbtn_ru+*vwUe0dcFa0OZzbnoYVYLcjwRC4Ak2hH!N;YVn z-)fgBRnWJvPypNF_2_R7#C!+#%?XAI8$AQetF^(F41mi8kW?bjY;o7g#nm;h9DTp0 z(o*PTLliu?dNA!%Rnu-^V`C#27@WGqQ((`(@;48pRFakBX{7@<`58W}0WF-ptdBid zcbwls4nv8+cJx4mQ`g?!-Q_qrpFVW#uI=((FR`2yS?cGiFl8)_|K1>A7AWP0?Fr_Z zfuqpFhv^LG?IZ#98|N?;S)kDd;$5CgY{QLw7>eN+5Qro3#+|dA?4{VLtPIGE2@eSj za6A+!L96|Oga{G(l`F5*ixNQ6LA*CGXTSe|%F17we*bv*EW-z8JSHb6Rl$o>Xc!tAO6XaXz11HwmIx*)GA9mWC;DbF$JvhH z5Fs)aNdUFXW29R`oEJkG$Gai=PShK_EC031ojl3ugUx9#s-ND^WBDm;-~kQhCr3iO zfk1+3<<*q*cB%JqO3zI^yzSbl2aJpXAf+w!rfs+8UJKUwGBxc(CV=06nQt$jw&g~m z`ycw-o)wQ`M68}Zd2F{nCV;>RAVvqk;$ZB+00b+@=%ew zro*OvKM9~F&A`Z%As{}`C6R#xL=yxae8r$03(+VcT&KVcfPWecJ`t*`t9Si;`fzW3 zJZ@h9^z?MF)Sj8kVvPOw-FrfZ$Hz7Y8@d1)d;$W*v-{ah2Ofb-xd6idB!(B5hiu4f z0wFKd3K}Y^_b`8hFb=r2T5zRc=g~ephJg;Jf*B&w0fX`&4n=aj30LBSP`d=i-aJS% zn53Nk(5K)+ckbA1B?3qQz=haQ&_nOo&?Z6Yk_f^epeGV=kCm}PYAJ~4gJq6v^Br;X zFmKDIA(IH%Ubb0Jii|jbF$o4q6SPNUjtTypWyK!q0Zd!^dpUdLgl2x!R5}a)5Oal0 z!~H|v8z}(hD^j|f(J(CoHmx8CPCvk!0_O-BRC@%(uL6`s)1bw%az3Pu!|V|7W~P>9 zfI5ttg`Keb;N^+IG|NI?`fZpsa&R_clH>!qP&%AJ3TAf~deiX0ib{s4qCSoWjHnB^ z$&pDLbhjsfm_SlySMNWBb`Q2JD8N%N77rZm|HL#E$mq8>HeP~h0JOdftSW7XNpwOc zE#rl9hvU^E#9)VxmJDr-{moy0Fce`f{$+1F!h>NopgpY&7X^X!MB)_++fw6k9q#}- z9}GotelvX|4R9yH{rn7BMz{hTop`yB>0k_AJo20KlX)T4OpUPi7(OH`yiam|Jri&^8cIHPLuvY^pXE^u>?EB zxHfJ7&n{MP){EnkA$p(jMIa!`AU{GRhbKomefw{WwlKs_{H$@E-$Ii;ushGKMgu41 zn{&@`!)OPk!OfS=>)Rpi<3aR9m6>AiVL(+a=jD4{fvZaV;t~?97Gq`nw+TdMQu4fu zra77OQn_^oy(q@#I|$tFy2Iq8H6u57By=3X=cL(XTYkDqxeb&GrFTWtw4Xe=24@=b zZHW?yWMt&#re>6ilZ9>RjDNknx5O{oN%({2oTNGfL?#2Z+tXGZ&T+vXs>a99eIwQ| zsA6Ma{C=+CahcXOVd-W<>s1}4=I2fw7$iVW)df0czrZP{)s1YG*SM5^@|kxhgnH5j z*_XrYtG6%=bgA6I2H$DyC~%;Nns@a$Y9!g2oiq;XV*i|wP}ST+_6ce!>DrycjZOaj zcMc;pePP{b`ywGJ$T?58A&7^ zN*kPA$tKo?%p&K;xypW3EuKU-qs|h4>f=t~_mTfLA!wk7Lo%DRaH0ripunF8ABRJs zf!h%p1VsCG={QB1s_*gDFj7aLH`%Dec*Q8 zFu}|}N-8oF@b4kOm`3#3z9qC0?B<$r(ZN%}TZi-NTV-|zd?s-n!YLmHib^}FlVVQz z1U%^~J4(#h6dqbYUWbK-;)6v|jm(w;Vc~W^;|Jp0wwV<%-4J91(z$wJwpNL9_+=Q+ z4bCi;bW5K69im2OnfjG$ZB-J1qs*{+$Z)~i*|vF&Zax_3fqKsh3J-{EF{^@uyK3MC z-6SPFuC3aVPVCD0&**tb&BYjTJ48hBpnliw=3-}sH-$e$mRO)D8@S14g zkv?s~Uj0i?Kb77TqbF}<#bSH{C=f-D4c2X4?__4nhGqrn!#fNE?_zEf>-JJPi zPOZ(Ci-WAe3X)ORjENcQeOI~f;FB$DRdaF}$sh2qYc z(dhB!?KP}Vg_a)G_!r9%yl(5{dEMPB5hYWFv+MBX+>0C>biU2J21OL`xdY|1)gDRf zVqDCuH`>GbKA%8^>AIbdm}5nxd{|mc7Ij<%g6P7i3DZ5?;PrNKi=Txc>nB$6NlLaR ziu;HheGEoojGK_D%(fbgQO6v~TLk13 z`%krga{DM*l=%fkZCZKSvBOLI!?-R7s3^MR=^H~dH?XqPGF81w z@TpMOlvVMqE>^&S=}pCg+(zIsO0>zGc!ve22KQZEsedoMqOr@UwLhjqY45d4XuxsT z7j!?%GxlSDOV`^b)ZV|=8gy$($jf4};vVGH+d*7bs>wFv znbg@#g0w}#x8MC+BifS%Y;#PC#z7*2h>VALk4(u6?S6gu(RlwtXVogTTVyYibbZ(F z+8J$K|F$ZdyEHuCRxJVLpVpc+Qt2GBVedRmdIKl=du?cwLqw+WVvZQ<#YqUC6lpp6 zmlo%Rp_OT$^{#$X@KQ=qe=g(w0OQU@aPtStryJUwzfvtpxK~4>=T$C&OwW^t(|*5* z!%eX_LTkbSIr-;IeWQ`jy4J4CnYW*`f+>(g>gp$lt4{_>JpDB+yHogfk6jJnO;l9K zvtGOB&KM^>C_bFipQ^6&6C*oF=UuZjZ?X7VBbPV~g#3xmY_W_fz;wpaqB9crRv*q$ zPDk!l?BZTgt4b2xx`B5l5H_XCd;=i>l+t0;zvv+i6Pk6xAvVCt}I1 zty|YuL^caz)<;jeYng||0)>k1suZ(sjVEzPTA%9LIaO@X&c$_impkV|%Qm@q#l;<_ zd6ZRsTrM6JUo>6FSY{)(w07On$ifpRwP#Kaim2Z;WLFX*)!DMR{tRcMTGG{q5T4RN z3@U|Q94D!3q_mMxHfuv-&@Q2&EG8W52|mxiN7(G&N;^0$!+IkSooyo8f6n)ANMml} z)5*n<4E`m_!t6&HKaXdV-F5Zf7(s;Gyr29NlyfV43vngu4u>p;z7W2R|JC+FH9#hDDOW6fiIDn%C>1miu~7)Vn7D#}t;doqC)ST+ zNfX{%`|rJqkp9kB^OJ|#+0V*m#9fMX=*Sh3)zgFNAvi^;caiX1iP9c{m>g>5y)k|q zq-yYX*^7r2Z~gX1F70Nxmo|FDF?&)?CmmE}{Clj9Dll?%Ge&#ze;ocCz`HdOI3#W8 z;Mxa6nP>BYkm2+_+j({27*Fw4E>?%?=6~vQpaPre_S-xoaBqju4}ZPVqBJop#i&}O zj@|jT>76V>P#1}$rP4JIFL5^8y6d40h2wz=`U`$|F5A@tTG^CnE8Hr>!Ts|s%A?h+ zNaXpT$)`Mz+%R$oPe2n!HTjvfAw6(Ex;Z(oE06O#{P`c`e( z5ne%ZDlQ>)L=*;<80!42UYuc6(H=D=rMAB$T517(MQ4TFYvz)3?;QSrSGjTBvZ22% z*86tY?*+<7Ycpih4I*WDt;W4kJIaqeE*ERE%TxW^h7B+X!R5VNB@x$Ln?rYbMD`acJ`M(DmeF}6Ujzoami5%7go%4cU)WZiI9syq zpR-+wJKm@wCKB?RBOm`|t0pqzcd_;F$j+Uy(&AivpQDY~pdZssr|w%bBcGl1@8)Zp z%1N6J7G(Ip-1%`oG@2zwBY+RN_bstGBhewc{NUKZlJD`4loU8aYwiG^ z3(7l*#K(zU{4K*q%etC}gFhOj|3TCo)!6gsLkfb3^#(ZHbed@_xQnww7X4|ZvdAT_ zttQm5-7Jb;Tq(4Sy$lA#kYfg5cKd-K4`+!|KrR8vm}dACM8Xar!oN&)N~|Biw7jF^ z8z=@a`JgU#+S#JEJSig1F;qdRKRuzhnB(D)0B9c+N6~*1nLKN7K6MHNKNyh;0zCu| z9F2|M>bs>B$hVWgP(d7#n)YjU61$aw#~{feB&x{Hlcg!|@JUu%&4{D+z9I7mP7nR$ zsuB~+b6%g$9uLKZYX@-Q++lM$Bnih ziO1RuYXe%2&~bxV<8~r5Qkc#IJA4|B(KIWoA|sQw3lZ1z%k~5$qxd%0%UR0`4TLxg z)z24hCFHcg@mBbL21UisUC3Eget!O6rtlRFs6YZ@genx42f|>o&o;4P!a_;C>Bu9& z_{)QGaE`^G)V>)r5vlrmRmrQt+e1e20&TG|rFuin$>jjy^2>AQ&zJ=^Y zlL1PgVQ+GO)oa2)>1#b9ztrJ7U(}sUFi4Ntzt6dU^6OcB*!f02)id!{HUC8!bP4@} z-!V6a^{-+ZX{SHVR*yom?$repnF;YYW-(pgy@i}`FZf_nzTBn11;>&fc&J~b)!`k+ z2fo`vJ5?;|A0@CNj=7SLBU&!rPV*ebL2GTKo#ItLzNeP34mno8$K zgOs}|9<88j(*rwP3rnQpU#6RqI{Y*|A+=8~3z`4tV?a3~~;?(G>m8 zpjPz5P-?yS@Q#VgCu}GwxIeO< ziGF)aW&p8Ci;Dm}CDX+n41nP%fVREmv-x);r`^vbsvB7xM&XRroePQR^XNP547@EYH;u3-%S(iOAHN>iLy2?ThE8#p6sg62 z1n?as)p3&sTnn3)!$431yu{lnho#cSb!uWR(?4U7DhMM@)krBJP9R9wK#-DB2AQva zOSj4Ems+gY^zBu;ol3#4$Yx6CzSp#+OL9Ce5$1ZVumIsmVanrT;Zm`t9o-|PY=OO zk34B@|Lr-Dhq8%z>E=zt{Gc<`cco!Y-TIqCkiVP${|SnG4bHNj4^`8fWUhn6W-(ll zaTxRu52K)9KM)dt{agelWx8^P_D6CG&X5}>U%|R6ACe&AGk;&`F}ys#60aEe)Tlc!s{YFI}q#slm+|3%#PB3M?&s!B!#5*;){{H4D?Ug@9)kl8JGg6HkBK z1$&@-^14zI0>Ws!vtDrjSsjYQ2@4r=O07BF zS{}4Y>$3e;Ncs}VjBcbT;7cv1V8@>{yK)=63mfyh(N>W%)*`?FML|3kdM(^aO5fJ7 zGh@U zZb(v#ZBij%$j@WApUKMj<<*}rdZDoNkU#9w-?gHn_jq(c;61eu;uTGA7bUq&xK3$J z)Hn7oa7-&8?L7BBfLI?9M%yzY?TT_D(y+ke2M;HXT9ligUkCUvg0G2W5JvJ$twUki z=$B?AmEw_hFZ?)aRrmdKOWW{x94ZDWFA)!1Px;!f5Ku#(zxU7$7*E_1*F%m}HjC~Jyq++>uISF| zmlfj;Fqo?L-o+X^IK>3Moi0_I<0(V z{pc1)b$92b6wRYr@=>$<&6s@e-|jSeFN9&55nx)p%kG=WE&7LMW-e^m+r|5wj_Tt;UX>}1Uve;Abh=g23aGC z|EI9?j;Ff+|36*2mhTz~}`Br(EdW* z-esU;uD#h(O}OvFdlYF&-?K9Uk3q*NlKwV{N#R8SWsfbSnS84{;czcs z|5E(nt0iNsAPpLKF8XT}We2P%X)(wVzSYH0#Ntxs@FEU_$}nu1Sr+KG*+n7!sE7pV zM+83U<%^tjwSEV=Dx&6%c2qAH*Z&+GrBuM_Y8dA5F{V*B_aNO`GU7wc&}5AjUvB_$ zBry4?}A$Mj{+>gw~;%29kf zJP>_?wQ%5j6kp+SmOu`q-0EnTt3EO{sGK8R$@#gBYXyx(l=M2ob^#f_@_ycIhXEGQYI2>J;!C4b=Znfvvt+Gg?N z86y%O9gl}j{HBh$pD!s~u`aACnxrY^n9BuP=U?l~OU_TNJ0%{mkb*CL68VoLyT806#0GQN zoBWv^7bh?b{Hv%37eX+&+bf(*!~a=2D_c5xO)d(d)6U>OXmmmjF;>P~8u9rf8g)?N zgzK8Px6u?+u=Jdt@;YIt=$1M=MXtw9y+U^OR{Z*OXR`AbMTp%QkpG5IY6#R$tK znG77{TR7GI6h4<&AW~q+=^eQPKO-12uyte76)7XgxO^`q8s}N1dN#bC{M7U9TkdDf zLp(t++eCn12TL$0TEhq@Q7oummC)oDT!Fz$O{#{ z1(v3h_O6tvqjcSTjB(UyuOH9m$wAK8X6P*oUXZ@GwEhV# z)hM1Ite^wDzRR}@(wjrmew&@K%TE&}F18p8*yMT%h4u;2({y|5ZmS)l3sqwQ1e1fI zVOO_VN)mH<0WS}aj($;EdKFa58IU0tTbA+KeFWl&*A_cK25@q9?ddi=&XV+;<3d!1 z)bY6)FVtgRMk*Sseb@Owm$qm0aTrNOsqo-n$ zoP?yc6^M60Mh5QrM%zt7K}R!Kx`D&P`De5)C;~x0*kA2t13vDx{C^}LwqqBr$G-^| ze=O|vkjB0~(&xs^{MJUSzkeuJTEXy9*Ta!R5F=ialZ{OS5-&JfT6ZQCV0?sB$KL{* z4|FLrqYe!-xa5*#S$iuh|HMS&=%v4(iU<*aNT3-yz?~l497~J*3$u8>uYy#-yAl-@ zWn{O{^{-k(@Hv}fybe5prXMfB2INeLEmn5yV;9*3elfCk(LuqFqI6EPAs<=(Xe``$ z_z=JnSp3kCA5~ISHHT#H;&@#=I7^UZMdyV&wT?J~N&0+NP~@;&F2B)z-Kgb=;k5GT z+q-_$Sy8x&Dm{ z;?L>JrI>-$etAR*rwa!K^2V@EQF`q)yp#K)H`Q*}FA8R@<*Xz_#`AUZx0HVxbmpOR z#aJlGaE;8Dt6j_*VAJD^g^C@=FBPl>R{!KT7|lUj;W(odekYVF zUJ!?Z-S^VV^l~hWQ7pa|oxd#QXwCyD5t$+9wgl6cDu^G>R8Nz^uSgQ4Y7_YxpXdDQ zILdHkGOjT2=h@_bmo*Pqk*R6f;mkop4V*!kD!c64#E)u_5=CBw6?u@M_a(1qx^`-` zR9R+z7hhLjWH4tpWbvJWvy?n3SjaA_sJEpnuRaa9CzD=7>!(%CI9zvI^uUUyPMk{E zEK=^+syS?}G_SR?Sz@)hJQ$6CN}OFOiVn|Z3-8X`{;;P|?OFFHId0dG77M4&=diV) zp@zv)znuL`U327B8KM(5$gG>KFBk8U|5??eEWFGNHZT!~&p|YQtNOExgf!*RIky!n z9y_T}8`PXO&+L~%g2BYVqTOfw`&0;_g&@`X6qY39@OAq*ZeVHmFCOgRAJj{v-B{~h z`;PLSl~V~s45-?u6GFsKIo(oQor(0(>gi|03iWR2R zqM}cu!!PwDLaHB%I7|1QE}AyFea^M+1#x<=w|1T~sq!#<#RgyhE(<`4K8vi{(QnCP zCN3V;zO(MbSwUXgZd0e2K41;@fa8am33xFjy!cY-&O?V1J0lq$rdkC@df%gB5hgVZ zBedA}xlZIr@1iCszy_y>O-SsSO#5b=!?1!+#FdIK8zi^tX0^}moaW)xzl()*G;-h# z;P#MO$g1`0n7#fHUwfC^slbsqbIoMWxrz^@om?2Gn`YnU4ZBu*0^4GrWTQmi3wiR& zwQ%O8c7gO_f1@cFm>$SOWc<=haB-jz#`KfSI%z9FHT_W4cFF>Y*c^8f{l?{}o; zq{ZL4ogG-W#4Lrs$n)}ePoFC`vqv9Q6N-EDQ2(ax=5dvbAVDItFKI2d`U~_FX3n8Va>^Zx>pA&51X8_X18GB`^eAL2@~CIfr9-U2RB*w@zei+m~^ zptv>)e3_@_hFgvuQ*UlCK5<{dFG5W~)2&^U=g*r|5G(!aM?;(TsoI5jrKX)K10SY$ z-@@E}^f8W4Xd?brq6a_!xdb@IVZdE%$_Yz*e8*;HbG;22&fLD{`%&(~vebnivCiMK zVLwN{P015T3AGRwJP{$i&UwGX!oJ4vi0Q~+W;ZUVxVWs;+7k*-13e;85*~~FV&fi6Pzo-NNpfN?eDaGY)iaSQ9{>{ROd5}q_io_q`DVX?IjZ?+O@19bPu$tts6KfMql z@Gx!uVfwwfC9Ch$$RQB|7c|@ux+?EG7qq-$tR2{|VVGPcb!9Bdx1jLkr#%$|k4J{W zO3-VYq3IQx2ZM0iR=*wb`{z_J9DmqSX zD`}!gy3D6B(kxPX;rR`pKy!&o%omEn0*Ck2-;`ARxsligRARqar8~v2?%qpv`6B}5 zf$f_4PtjwKo5Cd6c|P24<(qepCcSnz^WRW4rH9!J!X4@582zo&5HlWtus0WtY5Ilj z$IEBNLK4zjzh;u;v2hzf)8IvtP&Hj6jEM)c*YReO9 z3&p2U_^m%Wb8M?&CC5>Eut+>h?WpdNk8^RtXK$-R#RKNruFyqSR-n)db2@ zmL?0G%fx44?Mt5u?cn|=pw?P%;6j76599!$d1xOj&tVfxexftgCsL=M_t+Wm@~RE; z+%O0p*LGN^m0GV{mRB|HQ)nw)gjtVu6Fy>z8#FI+8`q1p^VVd+-1y<$!H2P9NsIeq z+1O*C_S>9Q{n;1@Kh-b)`vWdZ(+y)|buX1G_8XUTQ4PGYoEtDpv^MAkzq!$qQQ*+% z(g0g*iF*5uu@Lp{2T6XYA5Pu1KOsB|@W*Dkn2&ok6^U9*3pTkM8ex`&{dsXcYa$GB!5y{{LU|G7tpv)`qAU-uLWtI<>5T} z51TlmVSQX?Ga$b;pTg58)Rsm&+xQRs2iuOlP5j_4G)XIc4fvun^4Om|l{1;FS+6cw zRBvSVE?nSaEJ1Q|il`t{We6^<)CU`lZ5$t>E1Z0CfiaXUdwXIyT?+kfU&p98r&Vf# zdYRINwbIy|$y#N~bD3Ir@Lb9VUT0X1ARUd-qd5&>_4ST@*6mq$?cu*PW}7H56`wG? ztKK`X1Bk8&+?g43%-&Xj4UX&2q4gYs+*ZdZIV`{~WBCa%u4Rq|A z-1-uLPCj=Qf<=B8D>U**&rpsO`V zBz_(ID-Q|Xp@0S={w#3Z4m<$^ek9XdtmHn=5NFG3Rcfky$*Q?ZKANFlyD6(#MO62m zTF}5Pr+tS|d9{CtN~|6eDE)faOE~{CaF1yU0^|HJp-KXAY-^3KyvF3OOzpdGdFAHc z8HCsx;|GlwxEFFX`1kl`+^>CV!)RCDIsR0UQsjwt>l=XpmoF~_J)V#W)$Og(d_%@I zdoeSPWMK6k#F8WYvJqDIelsF|L1wQvkp|Z7`^@dTa}=YS+?z%H_XQb7N@C8{2;ZS| zdj4LdEK=#&smA9z0g*gWO4X*%-Si)-Nqm}GlQW~Q+b1oP?3UDhdpSUi4oxUYhNe!- z*Px^Ib6PwYh++Qqs0V^&*)AO~#nweCLhZ7C_K8YjrUs;+x!P2Iw^7J_d~C{&Tr2f~ z)`+<1j7_b{#i|-jJ^M{W4fPH^(wufFWKV|MGAdj);+>RH(l+I}e z#%NgBylnL?OO~+771=Jj_<`)5osSp4TfC3Ceq?Obt@PUiPlFAo2=|VDu$o4+L%XLr za=r6YxXZ9ZcqN9`#r&AP*hE3j{l=5AAx3mJ%}rEl&8Z-Tqir~(`!89xZU5JLz0cae zjN{7V-PI@W^P*vge+81zOacTZY35<>qDC4AXn4N7ep=e2PKz=Zq=HpAAG$0wQ=D=z zVwK{c&)cCYx~bYGeN)AQLTc*SrlWRdy6$;f^?SCi2NKeQwDwyDP7{SRneh!iw?Z{P zmXuvJ+!ebADP33t=x0kLzph8RLt>vLFj>w}FXr*$!A6;ikyvSRCGXt~d8~rB0Bzou zyyMdmbUs&VaAwB7^vJ{$?!4~$;CT9@H*SlQP>4F^^I7MA9Q)x)bPX_AEcZSe9Q8-u zpCVkB>iDS2j<039rBL}_?4W+UOdYh-pvP5E55k|jCVu5borT2*uik0Hc4Zp2QLWe- zCB+_oZ5;!iNdAB)Ba8`Gmrs>y!d5<#ZGAO6UK({9f5S?;*oV9THDrLk*~f!P{AgbJ zDOF%9aHQq5)j_Una6xO8xz+ok=i>Ti8~lyyXvlH{*ZZ?`h$NPY7nz7w{w;pH_1GInSL}V1(!C!X`2OP@5~FcAaB{*dEhV*&yqd;+<1ZoYZ?HpDjEi z<5Y6i37fW6FyQ9gr+7qZQ*lM~QDj^FJ#lv4!Bmeb{5I`6aY3)s^C)yS1=-Y#e3Ra0 z2b-MrZB+{)ksfz;hrOyPTP3cC=LvNf8Kyd|$<7$W?XcTN7&OPfA2dlZ?QItot%{SH z{ict|Dtx(KqMqC(jcsA2>;A=&wtUxK>`mi%1p^cMzJ_%6<=c4O>vqOJq_akpZ%=Yq z!|{@ukT;p=lspjhq+zswY6zb$qoQArT|W~9j}cA>y;K*mKZj>|1SZTDxOwfxGCa7)!{uDa5V+w%l}I!dXMYt-sZ%& zP?`NZkY`rs;~@bFeNkz*hrb#k74@uA9W1!S;V#VFRpt&KzP@J5l-22CKMD!qR4x>l zlcW)F7i4nD$jBtM9HDM}x#HHe^$@u~IN3{_h>Fk%V9gLF0S7hsL1NghA>WCH$=#sC z6pT!8=fVf@BZ57JG8F5*H>kY|2RM*?bge_S30^0!w)W8s`NXkRl+`k6k_U%AV@>jNFWf#9Qff~FTX{`#Jr4; zHw-D1S;xl{lnaMl7KZqtqyW6w9$IceOBG@pk_ve}P-cI>76dQJ8z^UL$_kqMc0A9w zSQ^Wf;-ZogkNNwF1h`S;cKtic^M5Y{em%m2hbg=Zfg=CcO&T<@&4_>AiP&!OxaDe? z_utwm{ruO@ixDEoen8U|9eb!@gP1FX8vgbU*rOm{##1XB6$ExYQ1U+o)dL6zjsV&L z?2Mqo1^$%@Z~&7)G5rHjR&m_#oB0LYO~4%jw$F9|po71UUf8x13_(3-?53iISJtnC z_q}msByOb4CSJIam94N!4Ya?d1nG1@#e(ljv)EJtz$CU=*2fELXSYF6z#=Mo2JTUT zHarWW0_Y4^wch!C0Qk#ya792(ft|P*&;>XqvkjM2jM7_^Is;HhXo8_38+>TIz!cC( zNJxl8%%C*~&}(SmWfrY3PbxopR9OPPqPF&SMF6Mf$6gRHT8sO3@`554m`4!6c^deZ zH4(}$4fNI-U_e`j)H-(ABr$vZn0$r-2XZD@8I=KZ>F&e-HHm!~wA(uK!-a(as<{p( z8|}ZCrQd?>vGJ8AowR%JI%xlCfX|JD6#=qPl?FBnb;RGg272!}v9)HfHS^ZiGUcj0Ll0^qe0l(TleM9rMNZl-tmHeE25e8&05?7G!GAq7(75jdrq2!g$+x3 zgR@x~uH<-C4tQf-Zo~4oU8a2ZowfAzpa5Jia{BhsE*4c;{aF$z+KGJ<%8XI z_2@nD2z5hY`mF^yg32yEj+T^B13D#)fts2cZaKbFNkRm$?y|75`ap+_6>nuF>O1cN zT>{}C0a8f~%uv}tZUK-Fi;&PD0}GupA^aP-vf*h;#2TB%1=?_baJ0Nny-x1pYh(*$ zvfhY)EfoaUEkLMye0*GSw63nM3ZQu99l#)z7~Lx~;D=rSg7P@N@#cB`wcSb(ri3RX zr~;Tr^`vRo4?g#L*YBsmUwIk2bIVAz#_lKDV}$Sph-4ReA9#WH7%_#yJ8A*o(Aw74 zB^ksZsgiUKNQ00akOPRvO%;{vd4ul(iilj9@y~MUae44DdF%==1g1%@4lR6MO8)ZT zE?=R$7jSECBhVL^hR^~60$P5$=3j*g0P+RRK7jMdAO>w(@FOs?))NOlIB*7m>&_3F z9kBod#YeB&HRq>+q=LyB0~1ppkoOy5Xmo);gMyNh9mMbe_ZVhKrRANKrlSp%c>-o8 zKZE=}%yxTgt9ec<)7t84*8^|3{|Cf1s2fb|@XqcqgfOS+;Q$sk&pvqGAh*}R|@ALCZ>u4Stil#Gp^bCUc zXY3}5&By_-f!~OMq=MyVZ)g-yLs22iM4Lejypp99hd96Af(fGih6_uf`vW((84zCq zN*ezIf#>BIl<^=QN^o(^qU!pgkgiaKDsX6mjO>LSVyedD1A$NyCwSN+62ilMqM}y0 zmGX7|IM@j?kdz5ZIDSi*Uocs!Hu5{zLUn-s5(T%}@IdL6wY4MDxB}MzK*|ew4xz<^ zAE)909L5dqKRiUs`QF6O%9*U!0>PkdWW-<_?8=belAglsVoYtVmvUBYQo)0ZxP7oKcB4yi!1V;SP_S$QzuWR0zLk1H^37ph(vjLc~8^&-A8JOZ65 z{IxQH1!z$0z&_ZZbih5B{%K?c0leTL0oKdlG!^+qQp9FRm9#|i_vVVje&g}jTCZeg zc0YyjuR_D%7}El$ekLrmT+kJ6gRvw(BO@b5Y`&SZ&^<}wVZo_0XR?vM0&N@*?$A_( z>eQo2cd_QdlE?JQn2+Pd$k8k~^20Jq6DW4L;BYZOumf3&|Nl389jc!HUsr$q?+4-! a$mQDnbhwhZv*Cg>lA8)@@&$5teEtVu+xqzc literal 0 HcmV?d00001 diff --git a/doc/LectureNotes/_build/html/_sources/exercisesweek35.ipynb b/doc/LectureNotes/_build/html/_sources/exercisesweek35.ipynb index 2d0645240..bc9ae7211 100644 --- a/doc/LectureNotes/_build/html/_sources/exercisesweek35.ipynb +++ b/doc/LectureNotes/_build/html/_sources/exercisesweek35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "a15180da", + "id": "3080bd6e", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "ac77b923", + "id": "2121a646", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "e8b90270", + "id": "5fdd1312", "metadata": { "editable": true }, @@ -43,25 +43,26 @@ "derivatives) of the chosen cost functions. Vectors are always written\n", "as boldfaced lower case letters and matrices as upper case boldfaced\n", "letters. You will find useful the notes from week 35 on derivatives of vectors and matrices.\n", + "See also the textbook of Faisal at al, chapter 5 and in particular sections 5.3-5.5 at \n", "\n", "Show that" ] }, { "cell_type": "markdown", - "id": "2e2e8f1a", + "id": "5bd583f7", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial (\\boldsymbol{b}^T\\boldsymbol{a})}{\\partial \\boldsymbol{a}} = \\boldsymbol{b},\n", + "\\frac{\\partial (\\boldsymbol{a}^T\\boldsymbol{x})}{\\partial \\boldsymbol{x}} = \\boldsymbol{a}^T,\n", "$$" ] }, { "cell_type": "markdown", - "id": "1cdc68da", + "id": "74d2af02", "metadata": { "editable": true }, @@ -71,7 +72,7 @@ }, { "cell_type": "markdown", - "id": "b87f9fdd", + "id": "cc982163", "metadata": { "editable": true }, @@ -83,7 +84,7 @@ }, { "cell_type": "markdown", - "id": "6ab53932", + "id": "2f2c4da8", "metadata": { "editable": true }, @@ -93,7 +94,7 @@ }, { "cell_type": "markdown", - "id": "1a7a8ec2", + "id": "75abd105", "metadata": { "editable": true }, @@ -105,7 +106,7 @@ }, { "cell_type": "markdown", - "id": "3bdb1514", + "id": "ed48f425", "metadata": { "editable": true }, @@ -114,13 +115,14 @@ "\n", "The second derivative of the mean squared error is then proportional to the so-called Hessian matrix $\\boldsymbol{H}=\\boldsymbol{X}^T\\boldsymbol{X}$.\n", "\n", - "**Hint**: In these exercises it is always useful to write out with summation indices the various quantities.\n", + "**Hint**: In these exercises it is always useful to write out with summation indices the various quantities. Take also a look at the weekly slides from week 35 and the various examples included there.\n", + "\n", "As an example, consider the function" ] }, { "cell_type": "markdown", - "id": "3e54eca9", + "id": "329edf30", "metadata": { "editable": true }, @@ -132,7 +134,7 @@ }, { "cell_type": "markdown", - "id": "3db49a1c", + "id": "01f1090f", "metadata": { "editable": true }, @@ -142,7 +144,7 @@ }, { "cell_type": "markdown", - "id": "5d4d3a0e", + "id": "8c71ed48", "metadata": { "editable": true }, @@ -154,7 +156,7 @@ }, { "cell_type": "markdown", - "id": "90eecd1c", + "id": "4e8012af", "metadata": { "editable": true }, @@ -164,7 +166,7 @@ }, { "cell_type": "markdown", - "id": "7eb7605f", + "id": "a1e0c123", "metadata": { "editable": true }, @@ -176,7 +178,7 @@ }, { "cell_type": "markdown", - "id": "b30dd90f", + "id": "22a65aed", "metadata": { "editable": true }, @@ -186,7 +188,7 @@ }, { "cell_type": "markdown", - "id": "1167ec1f", + "id": "e56f21e8", "metadata": { "editable": true }, @@ -198,7 +200,7 @@ }, { "cell_type": "markdown", - "id": "8f309e9e", + "id": "48394062", "metadata": { "editable": true }, @@ -216,7 +218,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "2df1063f", + "id": "bb67a97a", "metadata": { "collapsed": false, "editable": true @@ -230,7 +232,7 @@ }, { "cell_type": "markdown", - "id": "0cb75ec5", + "id": "d60db901", "metadata": { "editable": true }, @@ -244,7 +246,7 @@ }, { "cell_type": "markdown", - "id": "f0c36bdb", + "id": "274328a7", "metadata": { "editable": true }, @@ -257,7 +259,7 @@ }, { "cell_type": "markdown", - "id": "8c3ce778", + "id": "59dce0f1", "metadata": { "editable": true }, @@ -268,7 +270,7 @@ }, { "cell_type": "markdown", - "id": "f861d243", + "id": "1e1f8911", "metadata": { "editable": true }, @@ -280,7 +282,7 @@ }, { "cell_type": "markdown", - "id": "51500e4b", + "id": "ef31124f", "metadata": { "editable": true }, @@ -290,7 +292,7 @@ }, { "cell_type": "markdown", - "id": "fda9dadd", + "id": "46ac2123", "metadata": { "editable": true }, @@ -302,7 +304,7 @@ }, { "cell_type": "markdown", - "id": "6b691499", + "id": "edf840af", "metadata": { "editable": true }, @@ -313,7 +315,7 @@ }, { "cell_type": "markdown", - "id": "b6f10ab9", + "id": "31059187", "metadata": { "editable": true }, @@ -333,7 +335,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "285159ae", + "id": "f7382860", "metadata": { "collapsed": false, "editable": true @@ -349,7 +351,7 @@ }, { "cell_type": "markdown", - "id": "c2840fc9", + "id": "a10412bd", "metadata": { "editable": true }, @@ -359,7 +361,7 @@ }, { "cell_type": "markdown", - "id": "9dbda275", + "id": "8a9f0b89", "metadata": { "editable": true }, @@ -370,7 +372,7 @@ }, { "cell_type": "markdown", - "id": "824dba6f", + "id": "df5c7f67", "metadata": { "editable": true }, @@ -382,7 +384,7 @@ }, { "cell_type": "markdown", - "id": "a3f059cf", + "id": "e9b0fa39", "metadata": { "editable": true }, diff --git a/doc/LectureNotes/_build/html/_sources/week35.ipynb b/doc/LectureNotes/_build/html/_sources/week35.ipynb index d2fd55c69..7ce405ac8 100644 --- a/doc/LectureNotes/_build/html/_sources/week35.ipynb +++ b/doc/LectureNotes/_build/html/_sources/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "7d46aac3", + "id": "d1a45cb9", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "c2e822c3", + "id": "df0b160c", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "8fe173b0", + "id": "5480a93a", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "3d8f7c5e", + "id": "6d7042d6", "metadata": { "editable": true }, @@ -69,7 +69,7 @@ }, { "cell_type": "markdown", - "id": "136f0fb9", + "id": "f38f6344", "metadata": { "editable": true }, @@ -103,7 +103,7 @@ }, { "cell_type": "markdown", - "id": "81e34904", + "id": "88321305", "metadata": { "editable": true }, @@ -119,7 +119,7 @@ }, { "cell_type": "markdown", - "id": "9eb8c3c0", + "id": "b3902f8c", "metadata": { "editable": true }, @@ -131,7 +131,7 @@ }, { "cell_type": "markdown", - "id": "b57a761c", + "id": "6cc9fd26", "metadata": { "editable": true }, @@ -141,7 +141,7 @@ }, { "cell_type": "markdown", - "id": "a1938870", + "id": "083c1a6b", "metadata": { "editable": true }, @@ -153,7 +153,7 @@ }, { "cell_type": "markdown", - "id": "f4dfd5db", + "id": "38b6975b", "metadata": { "editable": true }, @@ -174,7 +174,7 @@ }, { "cell_type": "markdown", - "id": "eb46d019", + "id": "8a65b0a7", "metadata": { "editable": true }, @@ -186,7 +186,7 @@ }, { "cell_type": "markdown", - "id": "97bb0d9d", + "id": "7097614a", "metadata": { "editable": true }, @@ -199,7 +199,7 @@ }, { "cell_type": "markdown", - "id": "70a33137", + "id": "d57cdf7e", "metadata": { "editable": true }, @@ -211,7 +211,7 @@ }, { "cell_type": "markdown", - "id": "bc9a57c9", + "id": "8ee5538d", "metadata": { "editable": true }, @@ -223,7 +223,7 @@ }, { "cell_type": "markdown", - "id": "fd395098", + "id": "09ce36b5", "metadata": { "editable": true }, @@ -233,7 +233,7 @@ }, { "cell_type": "markdown", - "id": "c6c37190", + "id": "3884daa6", "metadata": { "editable": true }, @@ -245,7 +245,7 @@ }, { "cell_type": "markdown", - "id": "3754a599", + "id": "046f3817", "metadata": { "editable": true }, @@ -258,7 +258,7 @@ }, { "cell_type": "markdown", - "id": "eb1e5c6a", + "id": "327fd863", "metadata": { "editable": true }, @@ -270,7 +270,7 @@ }, { "cell_type": "markdown", - "id": "c5bab63d", + "id": "d2df2b68", "metadata": { "editable": true }, @@ -280,7 +280,7 @@ }, { "cell_type": "markdown", - "id": "469d828a", + "id": "e5b6d8a1", "metadata": { "editable": true }, @@ -292,7 +292,7 @@ }, { "cell_type": "markdown", - "id": "99cb3e0c", + "id": "f40f76e8", "metadata": { "editable": true }, @@ -304,7 +304,7 @@ }, { "cell_type": "markdown", - "id": "a313d648", + "id": "b7b515ea", "metadata": { "editable": true }, @@ -315,7 +315,7 @@ }, { "cell_type": "markdown", - "id": "45638946", + "id": "915095bd", "metadata": { "editable": true }, @@ -327,7 +327,7 @@ }, { "cell_type": "markdown", - "id": "b8130f9c", + "id": "d1dd8cbd", "metadata": { "editable": true }, @@ -346,7 +346,7 @@ }, { "cell_type": "markdown", - "id": "c2a5f5ad", + "id": "1530e93c", "metadata": { "editable": true }, @@ -359,7 +359,7 @@ }, { "cell_type": "markdown", - "id": "7385a922", + "id": "e96b563a", "metadata": { "editable": true }, @@ -369,7 +369,7 @@ }, { "cell_type": "markdown", - "id": "c3413e2f", + "id": "982d1604", "metadata": { "editable": true }, @@ -381,7 +381,7 @@ }, { "cell_type": "markdown", - "id": "3349093c", + "id": "32a75225", "metadata": { "editable": true }, @@ -391,7 +391,7 @@ }, { "cell_type": "markdown", - "id": "1a33ba2e", + "id": "54f26dca", "metadata": { "editable": true }, @@ -403,7 +403,7 @@ }, { "cell_type": "markdown", - "id": "1a6045f4", + "id": "4310cf8b", "metadata": { "editable": true }, @@ -413,7 +413,7 @@ }, { "cell_type": "markdown", - "id": "7b311171", + "id": "7f7dd61f", "metadata": { "editable": true }, @@ -425,7 +425,7 @@ }, { "cell_type": "markdown", - "id": "558d3b32", + "id": "f18dbba1", "metadata": { "editable": true }, @@ -436,7 +436,7 @@ }, { "cell_type": "markdown", - "id": "deffceee", + "id": "6b6d945a", "metadata": { "editable": true }, @@ -448,7 +448,7 @@ }, { "cell_type": "markdown", - "id": "fffc54ec", + "id": "7a1244bc", "metadata": { "editable": true }, @@ -458,7 +458,7 @@ }, { "cell_type": "markdown", - "id": "6f492262", + "id": "87368735", "metadata": { "editable": true }, @@ -470,7 +470,7 @@ }, { "cell_type": "markdown", - "id": "8d378b38", + "id": "c9a49592", "metadata": { "editable": true }, @@ -480,7 +480,7 @@ }, { "cell_type": "markdown", - "id": "539d62f8", + "id": "3f2233cd", "metadata": { "editable": true }, @@ -492,7 +492,7 @@ }, { "cell_type": "markdown", - "id": "238a8e6d", + "id": "7393b1df", "metadata": { "editable": true }, @@ -512,7 +512,7 @@ }, { "cell_type": "markdown", - "id": "29e68d43", + "id": "16eb1cab", "metadata": { "editable": true }, @@ -539,7 +539,7 @@ }, { "cell_type": "markdown", - "id": "2b2ff1ac", + "id": "fadb6c5f", "metadata": { "editable": true }, @@ -551,7 +551,7 @@ }, { "cell_type": "markdown", - "id": "296d789f", + "id": "1b226a3b", "metadata": { "editable": true }, @@ -563,7 +563,7 @@ }, { "cell_type": "markdown", - "id": "77190213", + "id": "8835682a", "metadata": { "editable": true }, @@ -579,7 +579,7 @@ }, { "cell_type": "markdown", - "id": "c908c476", + "id": "94ea8746", "metadata": { "editable": true }, @@ -597,7 +597,7 @@ }, { "cell_type": "markdown", - "id": "d6df5bf4", + "id": "e8a3e5ff", "metadata": { "editable": true }, @@ -609,7 +609,7 @@ }, { "cell_type": "markdown", - "id": "825ed674", + "id": "2aeb647a", "metadata": { "editable": true }, @@ -621,7 +621,7 @@ }, { "cell_type": "markdown", - "id": "ba708b07", + "id": "c1a9041d", "metadata": { "editable": true }, @@ -632,7 +632,7 @@ }, { "cell_type": "markdown", - "id": "e7515806", + "id": "7d68af48", "metadata": { "editable": true }, @@ -644,7 +644,7 @@ }, { "cell_type": "markdown", - "id": "ec27da02", + "id": "3f16856a", "metadata": { "editable": true }, @@ -654,7 +654,7 @@ }, { "cell_type": "markdown", - "id": "0e568f9b", + "id": "6b5f1f53", "metadata": { "editable": true }, @@ -666,7 +666,7 @@ }, { "cell_type": "markdown", - "id": "50b3c398", + "id": "cdc1e2de", "metadata": { "editable": true }, @@ -680,7 +680,7 @@ }, { "cell_type": "markdown", - "id": "f67a6838", + "id": "f2d5e2ac", "metadata": { "editable": true }, @@ -692,7 +692,7 @@ }, { "cell_type": "markdown", - "id": "27095386", + "id": "6100c9ac", "metadata": { "editable": true }, @@ -704,7 +704,7 @@ }, { "cell_type": "markdown", - "id": "97e6e136", + "id": "e4ca2a6c", "metadata": { "editable": true }, @@ -716,41 +716,41 @@ }, { "cell_type": "markdown", - "id": "2f2cb2f1", + "id": "7af8ed53", "metadata": { "editable": true }, "source": [ - "which means that (using our previous example) we have" + "which means that (using our previous example and keeping track of our definition of the derivative of a scalar) we have" ] }, { "cell_type": "markdown", - "id": "19160cb4", + "id": "969a360f", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\boldsymbol{z}=\\boldsymbol{A}^T\\boldsymbol{y}.\n", + "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\frac{\\partial \\boldsymbol{z}^T\\boldsymbol{x}}{\\partial \\boldsymbol{x}}=\\boldsymbol{z}^T=\\boldsymbol{A}^T\\boldsymbol{y}.\n", "$$" ] }, { "cell_type": "markdown", - "id": "50ff8918", + "id": "bb94df46", "metadata": { "editable": true }, "source": [ "Note that the resulting vector elements are the same for $\\boldsymbol{z}^T$ and $\\boldsymbol{z}$, the only difference is that one is just the transpose of the other.\n", "\n", - "Since $\\alpha$ is a scalar we have $\\alpha =\\alpha^T=\\boldsymbol{x}^T\\boldsymbol{A}^T\\boldsymbol{y}$. Defining now $\\boldsymbol{z}=\\boldsymbol{x}^T\\boldsymbol{A}^T$ we find that" + "Since $\\alpha$ is a scalar we have $\\alpha =\\alpha^T=\\boldsymbol{x}^T\\boldsymbol{A}^T\\boldsymbol{y}$. Defining now $\\boldsymbol{z}^T=\\boldsymbol{x}^T\\boldsymbol{A}^T$ we find that" ] }, { "cell_type": "markdown", - "id": "615fbba5", + "id": "6415e688", "metadata": { "editable": true }, @@ -762,7 +762,7 @@ }, { "cell_type": "markdown", - "id": "4116f7dd", + "id": "5b3b1ecd", "metadata": { "editable": true }, @@ -776,7 +776,7 @@ }, { "cell_type": "markdown", - "id": "2ee0f30c", + "id": "a986474a", "metadata": { "editable": true }, @@ -788,7 +788,7 @@ }, { "cell_type": "markdown", - "id": "bd14b926", + "id": "af874fe9", "metadata": { "editable": true }, @@ -800,7 +800,7 @@ }, { "cell_type": "markdown", - "id": "5b7c9517", + "id": "074b1322", "metadata": { "editable": true }, @@ -812,7 +812,7 @@ }, { "cell_type": "markdown", - "id": "2a8bb990", + "id": "e8120e11", "metadata": { "editable": true }, @@ -822,7 +822,7 @@ }, { "cell_type": "markdown", - "id": "5e4cee2a", + "id": "5c4a9f64", "metadata": { "editable": true }, @@ -834,7 +834,7 @@ }, { "cell_type": "markdown", - "id": "32358c8c", + "id": "7a99ee98", "metadata": { "editable": true }, @@ -844,7 +844,7 @@ }, { "cell_type": "markdown", - "id": "582e5dd2", + "id": "d4d80443", "metadata": { "editable": true }, @@ -856,7 +856,7 @@ }, { "cell_type": "markdown", - "id": "09021946", + "id": "8faa132f", "metadata": { "editable": true }, @@ -866,7 +866,7 @@ }, { "cell_type": "markdown", - "id": "1996c675", + "id": "cbb38e2d", "metadata": { "editable": true }, @@ -878,7 +878,7 @@ }, { "cell_type": "markdown", - "id": "21a8f52b", + "id": "c57d10e0", "metadata": { "editable": true }, @@ -890,7 +890,7 @@ }, { "cell_type": "markdown", - "id": "750c017f", + "id": "7acf1bc0", "metadata": { "editable": true }, @@ -902,7 +902,7 @@ }, { "cell_type": "markdown", - "id": "ad136af2", + "id": "0268eb52", "metadata": { "editable": true }, @@ -917,7 +917,7 @@ }, { "cell_type": "markdown", - "id": "afac1035", + "id": "60003495", "metadata": { "editable": true }, @@ -929,7 +929,7 @@ }, { "cell_type": "markdown", - "id": "2b7bf070", + "id": "87737af5", "metadata": { "editable": true }, @@ -939,7 +939,7 @@ }, { "cell_type": "markdown", - "id": "2670dafb", + "id": "172d2360", "metadata": { "editable": true }, @@ -951,7 +951,7 @@ }, { "cell_type": "markdown", - "id": "63337734", + "id": "7c8b553e", "metadata": { "editable": true }, @@ -961,7 +961,7 @@ }, { "cell_type": "markdown", - "id": "bda0b6b2", + "id": "a83a35b7", "metadata": { "editable": true }, @@ -973,7 +973,7 @@ }, { "cell_type": "markdown", - "id": "db44d551", + "id": "7ad0a8e7", "metadata": { "editable": true }, @@ -983,7 +983,7 @@ }, { "cell_type": "markdown", - "id": "a389e623", + "id": "11c08e7b", "metadata": { "editable": true }, @@ -995,7 +995,7 @@ }, { "cell_type": "markdown", - "id": "a8e046db", + "id": "03529c8d", "metadata": { "editable": true }, @@ -1007,7 +1007,7 @@ }, { "cell_type": "markdown", - "id": "074cc965", + "id": "5eb85448", "metadata": { "editable": true }, @@ -1019,7 +1019,7 @@ }, { "cell_type": "markdown", - "id": "fca52100", + "id": "fee9b6de", "metadata": { "editable": true }, @@ -1029,7 +1029,7 @@ }, { "cell_type": "markdown", - "id": "9c56f854", + "id": "3fa355af", "metadata": { "editable": true }, @@ -1041,7 +1041,7 @@ }, { "cell_type": "markdown", - "id": "7a556df3", + "id": "db643ace", "metadata": { "editable": true }, @@ -1054,7 +1054,7 @@ }, { "cell_type": "markdown", - "id": "67239adf", + "id": "482c681d", "metadata": { "editable": true }, @@ -1066,7 +1066,7 @@ }, { "cell_type": "markdown", - "id": "a10c57f5", + "id": "d9ae3be7", "metadata": { "editable": true }, @@ -1076,7 +1076,7 @@ }, { "cell_type": "markdown", - "id": "a7c13076", + "id": "edc496c8", "metadata": { "editable": true }, @@ -1088,7 +1088,7 @@ }, { "cell_type": "markdown", - "id": "db2e932a", + "id": "964a61c9", "metadata": { "editable": true }, @@ -1098,7 +1098,7 @@ }, { "cell_type": "markdown", - "id": "b001a262", + "id": "d1c8b642", "metadata": { "editable": true }, @@ -1110,7 +1110,7 @@ }, { "cell_type": "markdown", - "id": "c4ec2cb7", + "id": "14b971fc", "metadata": { "editable": true }, @@ -1120,7 +1120,7 @@ }, { "cell_type": "markdown", - "id": "35bba0f9", + "id": "2213cf00", "metadata": { "editable": true }, @@ -1132,7 +1132,7 @@ }, { "cell_type": "markdown", - "id": "39d2d221", + "id": "f27f0729", "metadata": { "editable": true }, @@ -1142,7 +1142,7 @@ }, { "cell_type": "markdown", - "id": "0a18b7bb", + "id": "b5e3559a", "metadata": { "editable": true }, @@ -1154,7 +1154,7 @@ }, { "cell_type": "markdown", - "id": "d22d6836", + "id": "6e4ee9c5", "metadata": { "editable": true }, @@ -1164,7 +1164,7 @@ }, { "cell_type": "markdown", - "id": "567161ac", + "id": "e767c78d", "metadata": { "editable": true }, @@ -1176,7 +1176,7 @@ }, { "cell_type": "markdown", - "id": "28e3d37b", + "id": "2607f6ad", "metadata": { "editable": true }, @@ -1188,19 +1188,31 @@ }, { "cell_type": "markdown", - "id": "e42fd086", + "id": "eaf435b4", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial (\\boldsymbol{b}^T\\boldsymbol{a})}{\\partial \\boldsymbol{a}} = \\boldsymbol{b},\n", + "\\frac{\\partial (\\boldsymbol{x}^T\\boldsymbol{a})}{\\partial \\boldsymbol{x}} = \\boldsymbol{a}^T,\n", "$$" ] }, { "cell_type": "markdown", - "id": "8fc99a0c", + "id": "2a2ee3ae", + "metadata": { + "editable": true + }, + "source": [ + "$$\n", + "\\frac{\\partial (\\boldsymbol{a}^T\\boldsymbol{x})}{\\partial \\boldsymbol{x}} = \\boldsymbol{a}^T,\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "3ef4947e", "metadata": { "editable": true }, @@ -1212,7 +1224,7 @@ }, { "cell_type": "markdown", - "id": "86d74fd9", + "id": "00b849f0", "metadata": { "editable": true }, @@ -1224,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "554b9a43", + "id": "4f2d2dfa", "metadata": { "editable": true }, @@ -1240,7 +1252,7 @@ }, { "cell_type": "markdown", - "id": "d1affa7d", + "id": "3d2dcac2", "metadata": { "editable": true }, @@ -1252,7 +1264,7 @@ }, { "cell_type": "markdown", - "id": "cf2e3528", + "id": "c7c9832d", "metadata": { "editable": true }, @@ -1262,7 +1274,7 @@ }, { "cell_type": "markdown", - "id": "9bfab245", + "id": "75019e89", "metadata": { "editable": true }, @@ -1274,7 +1286,7 @@ }, { "cell_type": "markdown", - "id": "4e923312", + "id": "5b04e748", "metadata": { "editable": true }, @@ -1292,7 +1304,7 @@ }, { "cell_type": "markdown", - "id": "ae25f416", + "id": "223893ea", "metadata": { "editable": true }, @@ -1304,7 +1316,7 @@ }, { "cell_type": "markdown", - "id": "d616c204", + "id": "621b7821", "metadata": { "editable": true }, @@ -1316,7 +1328,7 @@ }, { "cell_type": "markdown", - "id": "c767f7d8", + "id": "d5dc18bb", "metadata": { "editable": true }, @@ -1326,7 +1338,7 @@ }, { "cell_type": "markdown", - "id": "5e10686f", + "id": "136df89f", "metadata": { "editable": true }, @@ -1338,7 +1350,7 @@ }, { "cell_type": "markdown", - "id": "0d8fd143", + "id": "3b19fd49", "metadata": { "editable": true }, @@ -1348,7 +1360,7 @@ }, { "cell_type": "markdown", - "id": "bf85a0ca", + "id": "ae5dc063", "metadata": { "editable": true }, @@ -1360,7 +1372,7 @@ }, { "cell_type": "markdown", - "id": "f8625113", + "id": "3eee6878", "metadata": { "editable": true }, @@ -1370,7 +1382,7 @@ }, { "cell_type": "markdown", - "id": "ca3f31df", + "id": "98881e46", "metadata": { "editable": true }, @@ -1384,7 +1396,7 @@ }, { "cell_type": "markdown", - "id": "32f2e67e", + "id": "2d21b7e5", "metadata": { "editable": true }, @@ -1396,7 +1408,7 @@ }, { "cell_type": "markdown", - "id": "c0571367", + "id": "b0cb659a", "metadata": { "editable": true }, @@ -1407,7 +1419,7 @@ }, { "cell_type": "markdown", - "id": "6199aacb", + "id": "86aaa708", "metadata": { "editable": true }, @@ -1420,7 +1432,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "e17aecdf", + "id": "12dc0e7b", "metadata": { "collapsed": false, "editable": true @@ -1447,7 +1459,7 @@ }, { "cell_type": "markdown", - "id": "295f958b", + "id": "ced073c0", "metadata": { "editable": true }, @@ -1458,7 +1470,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "da33d84b", + "id": "9b252462", "metadata": { "collapsed": false, "editable": true @@ -1471,7 +1483,7 @@ }, { "cell_type": "markdown", - "id": "f8656ecc", + "id": "acd397d0", "metadata": { "editable": true }, @@ -1485,7 +1497,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "10bb7d14", + "id": "c2cd60aa", "metadata": { "collapsed": false, "editable": true @@ -1498,7 +1510,7 @@ }, { "cell_type": "markdown", - "id": "43fef194", + "id": "69a875cd", "metadata": { "editable": true }, @@ -1509,7 +1521,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "c7b2d7e8", + "id": "648deb3f", "metadata": { "collapsed": false, "editable": true @@ -1521,7 +1533,7 @@ }, { "cell_type": "markdown", - "id": "3704aaf9", + "id": "6ba117de", "metadata": { "editable": true }, @@ -1532,7 +1544,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "0942d279", + "id": "53a84803", "metadata": { "collapsed": false, "editable": true @@ -1548,7 +1560,7 @@ }, { "cell_type": "markdown", - "id": "a8d0b4f2", + "id": "b63a7058", "metadata": { "editable": true }, @@ -1559,7 +1571,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "6d95666b", + "id": "20110f9a", "metadata": { "collapsed": false, "editable": true @@ -1573,7 +1585,7 @@ }, { "cell_type": "markdown", - "id": "77262b73", + "id": "b302b9c5", "metadata": { "editable": true }, @@ -1594,7 +1606,7 @@ }, { "cell_type": "markdown", - "id": "07ecffe3", + "id": "04b5adc1", "metadata": { "editable": true }, @@ -1605,7 +1617,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "6bb953ea", + "id": "6c5d7761", "metadata": { "collapsed": false, "editable": true @@ -1658,7 +1670,7 @@ }, { "cell_type": "markdown", - "id": "b6523939", + "id": "ac8ecd6e", "metadata": { "editable": true }, @@ -1669,7 +1681,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "33d42837", + "id": "cc36d2bf", "metadata": { "collapsed": false, "editable": true @@ -1694,7 +1706,7 @@ }, { "cell_type": "markdown", - "id": "2ff685c2", + "id": "45aaee74", "metadata": { "editable": true }, @@ -1706,7 +1718,7 @@ }, { "cell_type": "markdown", - "id": "4bdd8f8b", + "id": "28a9e9a1", "metadata": { "editable": true }, @@ -1735,7 +1747,7 @@ }, { "cell_type": "markdown", - "id": "b663d865", + "id": "2a33a638", "metadata": { "editable": true }, @@ -1760,7 +1772,7 @@ }, { "cell_type": "markdown", - "id": "a49bbab2", + "id": "21229aa6", "metadata": { "editable": true }, @@ -1780,7 +1792,7 @@ }, { "cell_type": "markdown", - "id": "9d04ab36", + "id": "1a8c3ef5", "metadata": { "editable": true }, @@ -1807,7 +1819,7 @@ }, { "cell_type": "markdown", - "id": "7694b847", + "id": "fa17153a", "metadata": { "editable": true }, @@ -1820,7 +1832,7 @@ }, { "cell_type": "markdown", - "id": "f3bee616", + "id": "f52cd539", "metadata": { "editable": true }, @@ -1832,7 +1844,7 @@ }, { "cell_type": "markdown", - "id": "2d8765c8", + "id": "75f53c7e", "metadata": { "editable": true }, @@ -1843,7 +1855,7 @@ }, { "cell_type": "markdown", - "id": "372b1ac9", + "id": "069ab299", "metadata": { "editable": true }, @@ -1859,7 +1871,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "91b59881", + "id": "48ff7059", "metadata": { "collapsed": false, "editable": true @@ -1893,7 +1905,7 @@ }, { "cell_type": "markdown", - "id": "752bdf5c", + "id": "73e38f33", "metadata": { "editable": true }, @@ -1903,7 +1915,7 @@ }, { "cell_type": "markdown", - "id": "b448d7a7", + "id": "f91e0055", "metadata": { "editable": true }, @@ -1918,7 +1930,7 @@ }, { "cell_type": "markdown", - "id": "c44bc2b9", + "id": "92015a76", "metadata": { "editable": true }, @@ -1930,7 +1942,7 @@ }, { "cell_type": "markdown", - "id": "316b55f9", + "id": "ebafe28e", "metadata": { "editable": true }, @@ -1940,7 +1952,7 @@ }, { "cell_type": "markdown", - "id": "649ae921", + "id": "27b3c9e2", "metadata": { "editable": true }, @@ -1956,7 +1968,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "7105b779", + "id": "7d98302c", "metadata": { "collapsed": false, "editable": true @@ -1973,7 +1985,7 @@ }, { "cell_type": "markdown", - "id": "cc901b3e", + "id": "8083ffaf", "metadata": { "editable": true }, @@ -1986,7 +1998,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "a3f97306", + "id": "74135af6", "metadata": { "collapsed": false, "editable": true @@ -2033,7 +2045,7 @@ }, { "cell_type": "markdown", - "id": "92e55bd9", + "id": "3867175f", "metadata": { "editable": true }, @@ -2044,7 +2056,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "eb0f9eeb", + "id": "145ec792", "metadata": { "collapsed": false, "editable": true @@ -2147,7 +2159,7 @@ }, { "cell_type": "markdown", - "id": "7eef8cc6", + "id": "dd2e26c6", "metadata": { "editable": true }, @@ -2175,7 +2187,7 @@ }, { "cell_type": "markdown", - "id": "929f1ffa", + "id": "8f6f5e14", "metadata": { "editable": true }, @@ -2210,7 +2222,7 @@ }, { "cell_type": "markdown", - "id": "1cf95ac7", + "id": "a2bb8567", "metadata": { "editable": true }, @@ -2225,7 +2237,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "ccf5197e", + "id": "5ce4bb30", "metadata": { "collapsed": false, "editable": true @@ -2250,7 +2262,7 @@ }, { "cell_type": "markdown", - "id": "4bc3b8e7", + "id": "9899b102", "metadata": { "editable": true }, @@ -2266,7 +2278,7 @@ }, { "cell_type": "markdown", - "id": "832c9186", + "id": "940f1206", "metadata": { "editable": true }, @@ -2278,7 +2290,7 @@ }, { "cell_type": "markdown", - "id": "33936009", + "id": "03bf3859", "metadata": { "editable": true }, @@ -2293,7 +2305,7 @@ }, { "cell_type": "markdown", - "id": "a33c046a", + "id": "5d0f24bb", "metadata": { "editable": true }, @@ -2305,7 +2317,7 @@ }, { "cell_type": "markdown", - "id": "0b6ecee9", + "id": "35c31ff9", "metadata": { "editable": true }, @@ -2315,7 +2327,7 @@ }, { "cell_type": "markdown", - "id": "9cfd4f52", + "id": "da731b52", "metadata": { "editable": true }, @@ -2327,7 +2339,7 @@ }, { "cell_type": "markdown", - "id": "b74f5c3e", + "id": "00d61525", "metadata": { "editable": true }, @@ -2337,7 +2349,7 @@ }, { "cell_type": "markdown", - "id": "0ef4d3fc", + "id": "1c7ac73a", "metadata": { "editable": true }, @@ -2349,7 +2361,7 @@ }, { "cell_type": "markdown", - "id": "b70ff7f6", + "id": "6619c572", "metadata": { "editable": true }, @@ -2362,7 +2374,7 @@ }, { "cell_type": "markdown", - "id": "b89a5aa4", + "id": "75290da8", "metadata": { "editable": true }, @@ -2374,7 +2386,7 @@ }, { "cell_type": "markdown", - "id": "a750db78", + "id": "e152366d", "metadata": { "editable": true }, @@ -2384,7 +2396,7 @@ }, { "cell_type": "markdown", - "id": "a0749f95", + "id": "ac333f4d", "metadata": { "editable": true }, @@ -2396,7 +2408,7 @@ }, { "cell_type": "markdown", - "id": "9eb89703", + "id": "1afb35c3", "metadata": { "editable": true }, @@ -2406,7 +2418,7 @@ }, { "cell_type": "markdown", - "id": "f8c543ef", + "id": "9376a434", "metadata": { "editable": true }, @@ -2418,7 +2430,7 @@ }, { "cell_type": "markdown", - "id": "6defd473", + "id": "fbfb8577", "metadata": { "editable": true }, @@ -2428,7 +2440,7 @@ }, { "cell_type": "markdown", - "id": "6a1c04c5", + "id": "4ab6ba67", "metadata": { "editable": true }, @@ -2440,7 +2452,7 @@ }, { "cell_type": "markdown", - "id": "8325061d", + "id": "3e25e9d6", "metadata": { "editable": true }, @@ -2450,7 +2462,7 @@ }, { "cell_type": "markdown", - "id": "c5f5636b", + "id": "98148a50", "metadata": { "editable": true }, @@ -2462,7 +2474,7 @@ }, { "cell_type": "markdown", - "id": "42431c7f", + "id": "89b52b2f", "metadata": { "editable": true }, @@ -2472,7 +2484,7 @@ }, { "cell_type": "markdown", - "id": "c3217f5c", + "id": "cc754f59", "metadata": { "editable": true }, @@ -2484,7 +2496,7 @@ }, { "cell_type": "markdown", - "id": "8c7d335a", + "id": "e2e4ec4d", "metadata": { "editable": true }, @@ -2494,7 +2506,7 @@ }, { "cell_type": "markdown", - "id": "14c5de11", + "id": "1cb661b2", "metadata": { "editable": true }, @@ -2506,7 +2518,7 @@ }, { "cell_type": "markdown", - "id": "1ac2af74", + "id": "906234b9", "metadata": { "editable": true }, @@ -2518,7 +2530,7 @@ }, { "cell_type": "markdown", - "id": "c2eabe21", + "id": "e68bb1a5", "metadata": { "editable": true }, @@ -2530,7 +2542,7 @@ }, { "cell_type": "markdown", - "id": "cc162020", + "id": "6f50ce92", "metadata": { "editable": true }, @@ -2543,7 +2555,7 @@ }, { "cell_type": "markdown", - "id": "f95d9da9", + "id": "8ba2037d", "metadata": { "editable": true }, @@ -2555,7 +2567,7 @@ }, { "cell_type": "markdown", - "id": "ae14a0ff", + "id": "97be0f39", "metadata": { "editable": true }, @@ -2565,7 +2577,7 @@ }, { "cell_type": "markdown", - "id": "35be5948", + "id": "8d42c384", "metadata": { "editable": true }, @@ -2579,7 +2591,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "0a445f6b", + "id": "d97d6916", "metadata": { "collapsed": false, "editable": true @@ -2676,7 +2688,7 @@ }, { "cell_type": "markdown", - "id": "6fa524da", + "id": "ad10b896", "metadata": { "editable": true }, @@ -2697,7 +2709,7 @@ }, { "cell_type": "markdown", - "id": "b0b24191", + "id": "c7a36484", "metadata": { "editable": true }, @@ -2709,7 +2721,7 @@ }, { "cell_type": "markdown", - "id": "bc926eb0", + "id": "5f21f8fc", "metadata": { "editable": true }, @@ -2719,7 +2731,7 @@ }, { "cell_type": "markdown", - "id": "6800d55a", + "id": "a0129048", "metadata": { "editable": true }, @@ -2731,7 +2743,7 @@ }, { "cell_type": "markdown", - "id": "a5a2bc56", + "id": "7bd6d411", "metadata": { "editable": true }, @@ -2741,7 +2753,7 @@ }, { "cell_type": "markdown", - "id": "9f8bb782", + "id": "937d16e9", "metadata": { "editable": true }, @@ -2753,7 +2765,7 @@ }, { "cell_type": "markdown", - "id": "eb61b96e", + "id": "52693011", "metadata": { "editable": true }, @@ -2769,7 +2781,7 @@ }, { "cell_type": "markdown", - "id": "9964eb38", + "id": "2a38135c", "metadata": { "editable": true }, @@ -2779,7 +2791,7 @@ }, { "cell_type": "markdown", - "id": "975477ec", + "id": "0dad6486", "metadata": { "editable": true }, @@ -2793,7 +2805,7 @@ }, { "cell_type": "markdown", - "id": "6fd95915", + "id": "e42e0bfb", "metadata": { "editable": true }, @@ -2805,7 +2817,7 @@ }, { "cell_type": "markdown", - "id": "1d2d81af", + "id": "42e863ba", "metadata": { "editable": true }, @@ -2817,7 +2829,7 @@ }, { "cell_type": "markdown", - "id": "52e80563", + "id": "2c879ed8", "metadata": { "editable": true }, @@ -2829,7 +2841,7 @@ }, { "cell_type": "markdown", - "id": "c2a49d24", + "id": "ad146af1", "metadata": { "editable": true }, @@ -2839,7 +2851,7 @@ }, { "cell_type": "markdown", - "id": "456c2700", + "id": "f68a55b0", "metadata": { "editable": true }, @@ -2851,7 +2863,7 @@ }, { "cell_type": "markdown", - "id": "61ba0800", + "id": "7a73e219", "metadata": { "editable": true }, @@ -2861,7 +2873,7 @@ }, { "cell_type": "markdown", - "id": "b963fbee", + "id": "9a775ae0", "metadata": { "editable": true }, @@ -2873,7 +2885,7 @@ }, { "cell_type": "markdown", - "id": "9c186cff", + "id": "e7192b03", "metadata": { "editable": true }, @@ -2884,7 +2896,7 @@ }, { "cell_type": "markdown", - "id": "c141b391", + "id": "3f9b0d76", "metadata": { "editable": true }, @@ -2896,7 +2908,7 @@ }, { "cell_type": "markdown", - "id": "8ce09acd", + "id": "f9c6f348", "metadata": { "editable": true }, @@ -2908,7 +2920,7 @@ }, { "cell_type": "markdown", - "id": "c4e720ca", + "id": "b4a526f5", "metadata": { "editable": true }, @@ -2918,7 +2930,7 @@ }, { "cell_type": "markdown", - "id": "40e2df4f", + "id": "2a5b5c6a", "metadata": { "editable": true }, @@ -2930,7 +2942,7 @@ }, { "cell_type": "markdown", - "id": "cb3a2e9b", + "id": "4cf99028", "metadata": { "editable": true }, @@ -2942,7 +2954,7 @@ }, { "cell_type": "markdown", - "id": "9801c7a5", + "id": "7b30b4df", "metadata": { "editable": true }, @@ -2952,7 +2964,7 @@ }, { "cell_type": "markdown", - "id": "7a838563", + "id": "ada39420", "metadata": { "editable": true }, @@ -2964,7 +2976,7 @@ }, { "cell_type": "markdown", - "id": "43a676b1", + "id": "0e2f6795", "metadata": { "editable": true }, @@ -2974,7 +2986,7 @@ }, { "cell_type": "markdown", - "id": "d86c3cfc", + "id": "da2e85fe", "metadata": { "editable": true }, @@ -2986,7 +2998,7 @@ }, { "cell_type": "markdown", - "id": "44b599d7", + "id": "41c822df", "metadata": { "editable": true }, @@ -2996,7 +3008,7 @@ }, { "cell_type": "markdown", - "id": "4b664ca3", + "id": "8edd9f86", "metadata": { "editable": true }, @@ -3036,7 +3048,7 @@ }, { "cell_type": "markdown", - "id": "bb18d8d8", + "id": "4c25ebda", "metadata": { "editable": true }, @@ -3053,7 +3065,7 @@ }, { "cell_type": "markdown", - "id": "0f774654", + "id": "bb494caa", "metadata": { "editable": true }, @@ -3076,7 +3088,7 @@ }, { "cell_type": "markdown", - "id": "cdda011c", + "id": "3c10041b", "metadata": { "editable": true }, @@ -3093,7 +3105,7 @@ }, { "cell_type": "markdown", - "id": "465d9501", + "id": "ebc38b68", "metadata": { "editable": true }, @@ -3112,7 +3124,7 @@ }, { "cell_type": "markdown", - "id": "398e83e6", + "id": "b90843ce", "metadata": { "editable": true }, @@ -3123,7 +3135,7 @@ }, { "cell_type": "markdown", - "id": "53f21048", + "id": "161db2a0", "metadata": { "editable": true }, @@ -3135,7 +3147,7 @@ }, { "cell_type": "markdown", - "id": "9465f056", + "id": "6c2de59f", "metadata": { "editable": true }, @@ -3153,7 +3165,7 @@ }, { "cell_type": "markdown", - "id": "2f461adf", + "id": "b3d49d6d", "metadata": { "editable": true }, @@ -3169,7 +3181,7 @@ }, { "cell_type": "markdown", - "id": "2609e0d7", + "id": "dda31097", "metadata": { "editable": true }, @@ -3181,7 +3193,7 @@ }, { "cell_type": "markdown", - "id": "83b56810", + "id": "b3a6e245", "metadata": { "editable": true }, @@ -3191,7 +3203,7 @@ }, { "cell_type": "markdown", - "id": "0dab59af", + "id": "514ab565", "metadata": { "editable": true }, @@ -3206,7 +3218,7 @@ }, { "cell_type": "markdown", - "id": "86cb439d", + "id": "752adf02", "metadata": { "editable": true }, @@ -3218,7 +3230,7 @@ }, { "cell_type": "markdown", - "id": "6b5afd9e", + "id": "437111df", "metadata": { "editable": true }, @@ -3228,7 +3240,7 @@ }, { "cell_type": "markdown", - "id": "23c7ba81", + "id": "02573918", "metadata": { "editable": true }, @@ -3240,7 +3252,7 @@ }, { "cell_type": "markdown", - "id": "cc068a02", + "id": "68d1b1f5", "metadata": { "editable": true }, @@ -3250,7 +3262,7 @@ }, { "cell_type": "markdown", - "id": "94448e3c", + "id": "f94e92ff", "metadata": { "editable": true }, @@ -3262,7 +3274,7 @@ }, { "cell_type": "markdown", - "id": "b677f7cc", + "id": "6dbd0ff5", "metadata": { "editable": true }, @@ -3274,7 +3286,7 @@ }, { "cell_type": "markdown", - "id": "d9a2c5c1", + "id": "3e8fa491", "metadata": { "editable": true }, @@ -3289,7 +3301,7 @@ }, { "cell_type": "markdown", - "id": "5cd87a33", + "id": "6a070b8b", "metadata": { "editable": true }, @@ -3300,7 +3312,7 @@ }, { "cell_type": "markdown", - "id": "f64f24bc", + "id": "32b85195", "metadata": { "editable": true }, @@ -3320,7 +3332,7 @@ }, { "cell_type": "markdown", - "id": "755c5b4c", + "id": "b7c43e9d", "metadata": { "editable": true }, @@ -3332,7 +3344,7 @@ }, { "cell_type": "markdown", - "id": "c177ca43", + "id": "5681ed53", "metadata": { "editable": true }, @@ -3342,7 +3354,7 @@ }, { "cell_type": "markdown", - "id": "a19c8c23", + "id": "5948e503", "metadata": { "editable": true }, @@ -3354,7 +3366,7 @@ }, { "cell_type": "markdown", - "id": "893e2353", + "id": "28a2bc5c", "metadata": { "editable": true }, @@ -3383,7 +3395,7 @@ }, { "cell_type": "markdown", - "id": "b86415ff", + "id": "21affed3", "metadata": { "editable": true }, @@ -3410,7 +3422,7 @@ }, { "cell_type": "markdown", - "id": "ccfd7e2f", + "id": "9e4af542", "metadata": { "editable": true }, @@ -3421,7 +3433,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "1235f513", + "id": "927466a5", "metadata": { "collapsed": false, "editable": true @@ -3461,7 +3473,7 @@ }, { "cell_type": "markdown", - "id": "b3a18e97", + "id": "66fa447a", "metadata": { "editable": true }, @@ -3478,7 +3490,7 @@ }, { "cell_type": "markdown", - "id": "8729afc1", + "id": "f7c03d36", "metadata": { "editable": true }, @@ -3501,7 +3513,7 @@ }, { "cell_type": "markdown", - "id": "f58150c7", + "id": "6f8705f9", "metadata": { "editable": true }, @@ -3515,7 +3527,7 @@ }, { "cell_type": "markdown", - "id": "75ad45df", + "id": "b055e296", "metadata": { "editable": true }, @@ -3534,7 +3546,7 @@ }, { "cell_type": "markdown", - "id": "3b3b0d41", + "id": "dc115766", "metadata": { "editable": true }, @@ -3544,7 +3556,7 @@ }, { "cell_type": "markdown", - "id": "d26237a0", + "id": "7c31409f", "metadata": { "editable": true }, @@ -3556,7 +3568,7 @@ }, { "cell_type": "markdown", - "id": "0e532817", + "id": "41ded156", "metadata": { "editable": true }, @@ -3570,7 +3582,7 @@ }, { "cell_type": "markdown", - "id": "5b3e80ac", + "id": "3a6bc116", "metadata": { "editable": true }, @@ -3582,7 +3594,7 @@ }, { "cell_type": "markdown", - "id": "8d8ac84e", + "id": "8d2bb354", "metadata": { "editable": true }, @@ -3592,7 +3604,7 @@ }, { "cell_type": "markdown", - "id": "ee9de6aa", + "id": "2d75718f", "metadata": { "editable": true }, @@ -3604,7 +3616,7 @@ }, { "cell_type": "markdown", - "id": "c6c0698c", + "id": "9a2d7759", "metadata": { "editable": true }, @@ -3621,7 +3633,7 @@ }, { "cell_type": "markdown", - "id": "0cda837b", + "id": "7e5bf0f4", "metadata": { "editable": true }, @@ -3631,7 +3643,7 @@ }, { "cell_type": "markdown", - "id": "67ee0e1a", + "id": "a65cead0", "metadata": { "editable": true }, @@ -3647,7 +3659,7 @@ }, { "cell_type": "markdown", - "id": "72ed78bc", + "id": "a9a1048b", "metadata": { "editable": true }, @@ -3657,7 +3669,7 @@ }, { "cell_type": "markdown", - "id": "5f1eafeb", + "id": "acd65db5", "metadata": { "editable": true }, @@ -3673,7 +3685,7 @@ }, { "cell_type": "markdown", - "id": "ee5759c9", + "id": "1f9abb5c", "metadata": { "editable": true }, @@ -3683,7 +3695,7 @@ }, { "cell_type": "markdown", - "id": "cf62d941", + "id": "a8ce4083", "metadata": { "editable": true }, @@ -3699,7 +3711,7 @@ }, { "cell_type": "markdown", - "id": "90b95e12", + "id": "cd8b0a1e", "metadata": { "editable": true }, @@ -3709,7 +3721,7 @@ }, { "cell_type": "markdown", - "id": "00feffb3", + "id": "b8c780ad", "metadata": { "editable": true }, @@ -3726,7 +3738,7 @@ }, { "cell_type": "markdown", - "id": "445f80f3", + "id": "8ad7fe2d", "metadata": { "editable": true }, @@ -3738,7 +3750,7 @@ }, { "cell_type": "markdown", - "id": "35bc3f22", + "id": "fe55460c", "metadata": { "editable": true }, @@ -3750,7 +3762,7 @@ }, { "cell_type": "markdown", - "id": "9ed5722b", + "id": "d70b643b", "metadata": { "editable": true }, @@ -3762,7 +3774,7 @@ }, { "cell_type": "markdown", - "id": "1b3e4a39", + "id": "da4c03a7", "metadata": { "editable": true }, @@ -3772,7 +3784,7 @@ }, { "cell_type": "markdown", - "id": "473f552d", + "id": "26ed07fe", "metadata": { "editable": true }, @@ -3784,7 +3796,7 @@ }, { "cell_type": "markdown", - "id": "9d71cb49", + "id": "89d40885", "metadata": { "editable": true }, @@ -3796,7 +3808,7 @@ }, { "cell_type": "markdown", - "id": "70274400", + "id": "8616a68c", "metadata": { "editable": true }, @@ -3808,7 +3820,7 @@ }, { "cell_type": "markdown", - "id": "1ad896e4", + "id": "d9adfe91", "metadata": { "editable": true }, @@ -3818,7 +3830,7 @@ }, { "cell_type": "markdown", - "id": "d7278e5d", + "id": "a77cd129", "metadata": { "editable": true }, @@ -3830,7 +3842,7 @@ }, { "cell_type": "markdown", - "id": "980e810f", + "id": "645b51bc", "metadata": { "editable": true }, @@ -3840,7 +3852,7 @@ }, { "cell_type": "markdown", - "id": "d2ce7d3e", + "id": "062d0072", "metadata": { "editable": true }, @@ -3852,7 +3864,7 @@ }, { "cell_type": "markdown", - "id": "e108b08f", + "id": "da0ecb79", "metadata": { "editable": true }, @@ -3868,7 +3880,7 @@ }, { "cell_type": "markdown", - "id": "be3ebcdd", + "id": "a18bf804", "metadata": { "editable": true }, @@ -3880,7 +3892,7 @@ }, { "cell_type": "markdown", - "id": "76bbe5e4", + "id": "039dca58", "metadata": { "editable": true }, @@ -3892,7 +3904,7 @@ }, { "cell_type": "markdown", - "id": "0f9c4f1d", + "id": "a1021d12", "metadata": { "editable": true }, @@ -3902,7 +3914,7 @@ }, { "cell_type": "markdown", - "id": "ed8be893", + "id": "0d6c3a9a", "metadata": { "editable": true }, @@ -3914,7 +3926,7 @@ }, { "cell_type": "markdown", - "id": "e6593d3e", + "id": "27406969", "metadata": { "editable": true }, @@ -3925,7 +3937,7 @@ }, { "cell_type": "markdown", - "id": "e39b1638", + "id": "4b2c3ceb", "metadata": { "editable": true }, @@ -3937,7 +3949,7 @@ }, { "cell_type": "markdown", - "id": "52e608c4", + "id": "518fbccd", "metadata": { "editable": true }, @@ -3947,7 +3959,7 @@ }, { "cell_type": "markdown", - "id": "01000a72", + "id": "2d69af2a", "metadata": { "editable": true }, @@ -3959,7 +3971,7 @@ }, { "cell_type": "markdown", - "id": "46d6dcbd", + "id": "d2598edd", "metadata": { "editable": true }, @@ -3969,7 +3981,7 @@ }, { "cell_type": "markdown", - "id": "a77c857c", + "id": "f0e87f2e", "metadata": { "editable": true }, @@ -3981,7 +3993,7 @@ }, { "cell_type": "markdown", - "id": "4a481ffb", + "id": "f4fae93b", "metadata": { "editable": true }, @@ -3992,7 +4004,7 @@ }, { "cell_type": "markdown", - "id": "c2f6f636", + "id": "1bb0e7cb", "metadata": { "editable": true }, @@ -4004,7 +4016,7 @@ }, { "cell_type": "markdown", - "id": "87300bde", + "id": "12e0051c", "metadata": { "editable": true }, @@ -4022,7 +4034,7 @@ }, { "cell_type": "markdown", - "id": "760df852", + "id": "c262b54e", "metadata": { "editable": true }, @@ -4038,7 +4050,7 @@ }, { "cell_type": "markdown", - "id": "759e2d3f", + "id": "943b3188", "metadata": { "editable": true }, @@ -4050,7 +4062,7 @@ }, { "cell_type": "markdown", - "id": "ecc4bb98", + "id": "2ce03f92", "metadata": { "editable": true }, @@ -4062,7 +4074,7 @@ }, { "cell_type": "markdown", - "id": "eaa3e310", + "id": "3be7c903", "metadata": { "editable": true }, @@ -4074,7 +4086,7 @@ }, { "cell_type": "markdown", - "id": "6b5d285c", + "id": "d6b75dd1", "metadata": { "editable": true }, @@ -4087,7 +4099,7 @@ }, { "cell_type": "markdown", - "id": "99a33264", + "id": "c71ca363", "metadata": { "editable": true }, @@ -4103,7 +4115,7 @@ }, { "cell_type": "markdown", - "id": "26e27e0d", + "id": "38a2a722", "metadata": { "editable": true }, @@ -4117,7 +4129,7 @@ }, { "cell_type": "markdown", - "id": "de551b76", + "id": "78c6d593", "metadata": { "editable": true }, @@ -4127,7 +4139,7 @@ }, { "cell_type": "markdown", - "id": "67fb62a0", + "id": "9ee93856", "metadata": { "editable": true }, @@ -4139,7 +4151,7 @@ }, { "cell_type": "markdown", - "id": "8c427d6f", + "id": "c2820923", "metadata": { "editable": true }, @@ -4149,7 +4161,7 @@ }, { "cell_type": "markdown", - "id": "5df1e767", + "id": "54b7a1a6", "metadata": { "editable": true }, @@ -4161,7 +4173,7 @@ }, { "cell_type": "markdown", - "id": "c2317b94", + "id": "67981c7b", "metadata": { "editable": true }, @@ -4171,7 +4183,7 @@ }, { "cell_type": "markdown", - "id": "348c3d5d", + "id": "207f07c0", "metadata": { "editable": true }, @@ -4185,7 +4197,7 @@ }, { "cell_type": "markdown", - "id": "1437d4e5", + "id": "3b134c03", "metadata": { "editable": true }, @@ -4202,7 +4214,7 @@ }, { "cell_type": "markdown", - "id": "1d3ab300", + "id": "9fcf8b8c", "metadata": { "editable": true }, @@ -4218,7 +4230,7 @@ }, { "cell_type": "markdown", - "id": "488b3cd3", + "id": "0e710c23", "metadata": { "editable": true }, @@ -4230,7 +4242,7 @@ }, { "cell_type": "markdown", - "id": "d6f8e22e", + "id": "0616898a", "metadata": { "editable": true }, @@ -4243,7 +4255,7 @@ }, { "cell_type": "markdown", - "id": "1ec5c7e8", + "id": "773954cd", "metadata": { "editable": true }, @@ -4257,7 +4269,7 @@ }, { "cell_type": "markdown", - "id": "5baa06c2", + "id": "dbbf9782", "metadata": { "editable": true }, @@ -4267,7 +4279,7 @@ }, { "cell_type": "markdown", - "id": "494ba35f", + "id": "f9fe236a", "metadata": { "editable": true }, @@ -4280,7 +4292,7 @@ }, { "cell_type": "markdown", - "id": "92ee4c27", + "id": "8637bde8", "metadata": { "editable": true }, @@ -4299,7 +4311,7 @@ }, { "cell_type": "markdown", - "id": "a94fe01b", + "id": "407538bd", "metadata": { "editable": true }, @@ -4311,7 +4323,7 @@ }, { "cell_type": "markdown", - "id": "5f91b71b", + "id": "7f51bace", "metadata": { "editable": true }, @@ -4323,7 +4335,7 @@ }, { "cell_type": "markdown", - "id": "2deeff06", + "id": "e85983a7", "metadata": { "editable": true }, @@ -4333,7 +4345,7 @@ }, { "cell_type": "markdown", - "id": "2ec6e49c", + "id": "dbf070d2", "metadata": { "editable": true }, @@ -4345,7 +4357,7 @@ }, { "cell_type": "markdown", - "id": "6074047b", + "id": "70ed02db", "metadata": { "editable": true }, @@ -4358,7 +4370,7 @@ }, { "cell_type": "markdown", - "id": "583b9fcb", + "id": "e0148fe8", "metadata": { "editable": true }, @@ -4377,7 +4389,7 @@ }, { "cell_type": "markdown", - "id": "f4581410", + "id": "699794ab", "metadata": { "editable": true }, @@ -4387,7 +4399,7 @@ }, { "cell_type": "markdown", - "id": "b9e52381", + "id": "af07979d", "metadata": { "editable": true }, @@ -4406,7 +4418,7 @@ }, { "cell_type": "markdown", - "id": "4d1c2b42", + "id": "a99ac08d", "metadata": { "editable": true }, @@ -4424,7 +4436,7 @@ }, { "cell_type": "markdown", - "id": "c33936ea", + "id": "249de093", "metadata": { "editable": true }, @@ -4438,7 +4450,7 @@ }, { "cell_type": "markdown", - "id": "a92db40c", + "id": "d7f47bc5", "metadata": { "editable": true }, @@ -4453,7 +4465,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "1d484b1a", + "id": "a67a4b33", "metadata": { "collapsed": false, "editable": true @@ -4474,7 +4486,7 @@ }, { "cell_type": "markdown", - "id": "f1efc5cc", + "id": "1f61ec49", "metadata": { "editable": true }, @@ -4491,7 +4503,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "55c5d883", + "id": "fc222839", "metadata": { "collapsed": false, "editable": true @@ -4523,7 +4535,7 @@ }, { "cell_type": "markdown", - "id": "3e3b510f", + "id": "b68b006b", "metadata": { "editable": true }, @@ -4537,7 +4549,7 @@ }, { "cell_type": "markdown", - "id": "b3a3e0ae", + "id": "21b69d05", "metadata": { "editable": true }, @@ -4550,7 +4562,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "9a8a80ad", + "id": "079b1d75", "metadata": { "collapsed": false, "editable": true @@ -4575,7 +4587,7 @@ }, { "cell_type": "markdown", - "id": "fc0734ea", + "id": "52164470", "metadata": { "editable": true }, @@ -4585,7 +4597,7 @@ }, { "cell_type": "markdown", - "id": "9700888c", + "id": "9ec7a2b3", "metadata": { "editable": true }, @@ -4596,7 +4608,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "dab4252f", + "id": "6e1a932b", "metadata": { "collapsed": false, "editable": true @@ -4650,7 +4662,7 @@ }, { "cell_type": "markdown", - "id": "53c3ac53", + "id": "9334cd76", "metadata": { "editable": true }, @@ -4667,7 +4679,7 @@ }, { "cell_type": "markdown", - "id": "8ad7a502", + "id": "91ac595c", "metadata": { "editable": true }, @@ -4679,7 +4691,7 @@ }, { "cell_type": "markdown", - "id": "ddbefb6f", + "id": "8b977f83", "metadata": { "editable": true }, @@ -4691,7 +4703,7 @@ }, { "cell_type": "markdown", - "id": "72b21cd9", + "id": "c0383111", "metadata": { "editable": true }, @@ -4701,7 +4713,7 @@ }, { "cell_type": "markdown", - "id": "6dfd8847", + "id": "4768c293", "metadata": { "editable": true }, @@ -4718,7 +4730,7 @@ }, { "cell_type": "markdown", - "id": "c10bb802", + "id": "82a91fe1", "metadata": { "editable": true }, @@ -4728,7 +4740,7 @@ }, { "cell_type": "markdown", - "id": "071695ba", + "id": "7989cc15", "metadata": { "editable": true }, @@ -4743,7 +4755,7 @@ }, { "cell_type": "markdown", - "id": "3135bc9f", + "id": "4031cec5", "metadata": { "editable": true }, @@ -4753,7 +4765,7 @@ }, { "cell_type": "markdown", - "id": "559c3334", + "id": "8bcb0bdb", "metadata": { "editable": true }, @@ -4767,7 +4779,7 @@ }, { "cell_type": "markdown", - "id": "985ab47a", + "id": "e272744c", "metadata": { "editable": true }, @@ -4779,7 +4791,7 @@ }, { "cell_type": "markdown", - "id": "df9e9129", + "id": "6c091081", "metadata": { "editable": true }, @@ -4791,7 +4803,7 @@ }, { "cell_type": "markdown", - "id": "5f021577", + "id": "7d0385b9", "metadata": { "editable": true }, @@ -4803,7 +4815,7 @@ }, { "cell_type": "markdown", - "id": "17411592", + "id": "46ad40e5", "metadata": { "editable": true }, @@ -4813,7 +4825,7 @@ }, { "cell_type": "markdown", - "id": "0220cad7", + "id": "a7eca411", "metadata": { "editable": true }, @@ -4825,7 +4837,7 @@ }, { "cell_type": "markdown", - "id": "fe54b873", + "id": "19cd3c86", "metadata": { "editable": true }, @@ -4835,7 +4847,7 @@ }, { "cell_type": "markdown", - "id": "1ae147af", + "id": "75ddac56", "metadata": { "editable": true }, @@ -4852,7 +4864,7 @@ }, { "cell_type": "markdown", - "id": "8a99bf63", + "id": "b581d8f5", "metadata": { "editable": true }, @@ -4862,7 +4874,7 @@ }, { "cell_type": "markdown", - "id": "847e200e", + "id": "ae5c3ada", "metadata": { "editable": true }, @@ -4874,7 +4886,7 @@ }, { "cell_type": "markdown", - "id": "f4550f05", + "id": "4390ee27", "metadata": { "editable": true }, @@ -4884,7 +4896,7 @@ }, { "cell_type": "markdown", - "id": "374bbe1e", + "id": "6a5eb509", "metadata": { "editable": true }, @@ -4896,7 +4908,7 @@ }, { "cell_type": "markdown", - "id": "cbd806ca", + "id": "0e03c3a2", "metadata": { "editable": true }, @@ -4910,7 +4922,7 @@ }, { "cell_type": "markdown", - "id": "f4ba0b4b", + "id": "2ba097a1", "metadata": { "editable": true }, @@ -4922,7 +4934,7 @@ }, { "cell_type": "markdown", - "id": "28abe6ad", + "id": "f3c9cdb1", "metadata": { "editable": true }, @@ -4944,7 +4956,7 @@ }, { "cell_type": "markdown", - "id": "3aeee40f", + "id": "32e6d9e5", "metadata": { "editable": true }, @@ -4956,7 +4968,7 @@ }, { "cell_type": "markdown", - "id": "07d259ef", + "id": "8de8a015", "metadata": { "editable": true }, @@ -4971,7 +4983,7 @@ }, { "cell_type": "markdown", - "id": "5924f2d7", + "id": "078b8444", "metadata": { "editable": true }, @@ -4983,7 +4995,7 @@ }, { "cell_type": "markdown", - "id": "c6b062c4", + "id": "0dcc1243", "metadata": { "editable": true }, @@ -4995,7 +5007,7 @@ }, { "cell_type": "markdown", - "id": "7b4ec568", + "id": "d00bcae8", "metadata": { "editable": true }, @@ -5005,7 +5017,7 @@ }, { "cell_type": "markdown", - "id": "80c8cc4e", + "id": "bdfd74de", "metadata": { "editable": true }, @@ -5017,7 +5029,7 @@ }, { "cell_type": "markdown", - "id": "ab27d137", + "id": "b51d7036", "metadata": { "editable": true }, @@ -5027,7 +5039,7 @@ }, { "cell_type": "markdown", - "id": "7c900297", + "id": "2aabb588", "metadata": { "editable": true }, @@ -5039,7 +5051,7 @@ }, { "cell_type": "markdown", - "id": "f56e4736", + "id": "484819d1", "metadata": { "editable": true }, @@ -5049,7 +5061,7 @@ }, { "cell_type": "markdown", - "id": "f4ee8fd2", + "id": "63c73d58", "metadata": { "editable": true }, @@ -5061,7 +5073,7 @@ }, { "cell_type": "markdown", - "id": "c753a5f9", + "id": "0cf23ecd", "metadata": { "editable": true }, @@ -5078,7 +5090,7 @@ }, { "cell_type": "markdown", - "id": "4769b420", + "id": "9e5c7a1a", "metadata": { "editable": true }, @@ -5091,7 +5103,7 @@ }, { "cell_type": "markdown", - "id": "b02c0550", + "id": "dec48a07", "metadata": { "editable": true }, @@ -5103,7 +5115,7 @@ }, { "cell_type": "markdown", - "id": "16ec4c24", + "id": "86c4cbf0", "metadata": { "editable": true }, @@ -5113,7 +5125,7 @@ }, { "cell_type": "markdown", - "id": "201d905c", + "id": "c2196256", "metadata": { "editable": true }, @@ -5126,7 +5138,7 @@ }, { "cell_type": "markdown", - "id": "6f63bcc7", + "id": "aa745e43", "metadata": { "editable": true }, @@ -5136,7 +5148,7 @@ }, { "cell_type": "markdown", - "id": "0e39045a", + "id": "cddbb44b", "metadata": { "editable": true }, @@ -5148,7 +5160,7 @@ }, { "cell_type": "markdown", - "id": "28779e57", + "id": "3bd6cdd9", "metadata": { "editable": true }, @@ -5161,7 +5173,7 @@ }, { "cell_type": "markdown", - "id": "d7d76fd0", + "id": "980af216", "metadata": { "editable": true }, @@ -5174,7 +5186,7 @@ }, { "cell_type": "markdown", - "id": "a2113041", + "id": "22b679ba", "metadata": { "editable": true }, @@ -5186,7 +5198,7 @@ }, { "cell_type": "markdown", - "id": "41d877da", + "id": "190052a7", "metadata": { "editable": true }, @@ -5198,7 +5210,7 @@ }, { "cell_type": "markdown", - "id": "f7beeed5", + "id": "ad1528bc", "metadata": { "editable": true }, @@ -5208,7 +5220,7 @@ }, { "cell_type": "markdown", - "id": "6dc01d3f", + "id": "fc69d642", "metadata": { "editable": true }, @@ -5221,7 +5233,7 @@ }, { "cell_type": "markdown", - "id": "8fbaf3ed", + "id": "387716c0", "metadata": { "editable": true }, @@ -5233,7 +5245,7 @@ }, { "cell_type": "markdown", - "id": "200e98c8", + "id": "8d57c0a0", "metadata": { "editable": true }, @@ -5245,7 +5257,7 @@ }, { "cell_type": "markdown", - "id": "7ac27cfd", + "id": "13455d46", "metadata": { "editable": true }, @@ -5257,7 +5269,7 @@ }, { "cell_type": "markdown", - "id": "bf696c60", + "id": "3bbc2f00", "metadata": { "editable": true }, @@ -5269,7 +5281,7 @@ }, { "cell_type": "markdown", - "id": "1d4bcd70", + "id": "b7daee88", "metadata": { "editable": true }, @@ -5283,7 +5295,7 @@ }, { "cell_type": "markdown", - "id": "516462d4", + "id": "1299b1c5", "metadata": { "editable": true }, @@ -5295,7 +5307,7 @@ }, { "cell_type": "markdown", - "id": "9ce7b51b", + "id": "db23d56c", "metadata": { "editable": true }, @@ -5305,7 +5317,7 @@ }, { "cell_type": "markdown", - "id": "b0cec572", + "id": "b6b71f2b", "metadata": { "editable": true }, @@ -5317,7 +5329,7 @@ }, { "cell_type": "markdown", - "id": "67b0fa4b", + "id": "a126967a", "metadata": { "editable": true }, @@ -5329,7 +5341,7 @@ }, { "cell_type": "markdown", - "id": "ee32bb17", + "id": "45a67a1a", "metadata": { "editable": true }, @@ -5341,7 +5353,7 @@ }, { "cell_type": "markdown", - "id": "78f724ed", + "id": "efe0de6c", "metadata": { "editable": true }, @@ -5353,7 +5365,7 @@ }, { "cell_type": "markdown", - "id": "8cb8bdac", + "id": "8860fc43", "metadata": { "editable": true }, @@ -5365,7 +5377,7 @@ }, { "cell_type": "markdown", - "id": "89e76a8c", + "id": "5b14ec49", "metadata": { "editable": true }, @@ -5384,7 +5396,7 @@ }, { "cell_type": "markdown", - "id": "109178a9", + "id": "fa58f8d1", "metadata": { "editable": true }, @@ -5396,7 +5408,7 @@ }, { "cell_type": "markdown", - "id": "5533200d", + "id": "848a33e8", "metadata": { "editable": true }, @@ -5406,7 +5418,7 @@ }, { "cell_type": "markdown", - "id": "c9af410a", + "id": "45cbaee4", "metadata": { "editable": true }, @@ -5418,7 +5430,7 @@ }, { "cell_type": "markdown", - "id": "f14775b0", + "id": "c691de3f", "metadata": { "editable": true }, @@ -5428,7 +5440,7 @@ }, { "cell_type": "markdown", - "id": "7712331b", + "id": "c7e337f4", "metadata": { "editable": true }, @@ -5440,7 +5452,7 @@ }, { "cell_type": "markdown", - "id": "81c01b03", + "id": "8d417ae8", "metadata": { "editable": true }, @@ -5452,7 +5464,7 @@ }, { "cell_type": "markdown", - "id": "f2b34266", + "id": "386aa637", "metadata": { "editable": true }, @@ -5468,7 +5480,7 @@ }, { "cell_type": "markdown", - "id": "2e0b093d", + "id": "55185be4", "metadata": { "editable": true }, @@ -5480,7 +5492,7 @@ }, { "cell_type": "markdown", - "id": "8f16e085", + "id": "2a7fcef6", "metadata": { "editable": true }, @@ -5492,7 +5504,7 @@ }, { "cell_type": "markdown", - "id": "5ad5bae5", + "id": "2f2c4c1d", "metadata": { "editable": true }, @@ -5502,7 +5514,7 @@ }, { "cell_type": "markdown", - "id": "763aafea", + "id": "e3bab558", "metadata": { "editable": true }, @@ -5514,7 +5526,7 @@ }, { "cell_type": "markdown", - "id": "7344b28f", + "id": "bb50e5e7", "metadata": { "editable": true }, @@ -5524,7 +5536,7 @@ }, { "cell_type": "markdown", - "id": "bd0aa93e", + "id": "6e1bf6c6", "metadata": { "editable": true }, @@ -5536,7 +5548,7 @@ }, { "cell_type": "markdown", - "id": "58b92564", + "id": "6089b625", "metadata": { "editable": true }, @@ -5553,7 +5565,7 @@ }, { "cell_type": "markdown", - "id": "9c8672be", + "id": "68df3751", "metadata": { "editable": true }, @@ -5565,7 +5577,7 @@ }, { "cell_type": "markdown", - "id": "11590d10", + "id": "60e8783d", "metadata": { "editable": true }, @@ -5577,7 +5589,7 @@ }, { "cell_type": "markdown", - "id": "4c46b518", + "id": "75eaf332", "metadata": { "editable": true }, @@ -5587,7 +5599,7 @@ }, { "cell_type": "markdown", - "id": "b0da6a21", + "id": "d98940a5", "metadata": { "editable": true }, @@ -5599,7 +5611,7 @@ }, { "cell_type": "markdown", - "id": "9b34e073", + "id": "3a2a3500", "metadata": { "editable": true }, @@ -5609,7 +5621,7 @@ }, { "cell_type": "markdown", - "id": "029f1aa5", + "id": "ea6ff87d", "metadata": { "editable": true }, @@ -5621,7 +5633,7 @@ }, { "cell_type": "markdown", - "id": "49079af3", + "id": "eb7270da", "metadata": { "editable": true }, @@ -5631,7 +5643,7 @@ }, { "cell_type": "markdown", - "id": "735e9f4c", + "id": "1626b163", "metadata": { "editable": true }, @@ -5643,7 +5655,7 @@ }, { "cell_type": "markdown", - "id": "fccfd6ca", + "id": "5182459c", "metadata": { "editable": true }, @@ -5653,7 +5665,7 @@ }, { "cell_type": "markdown", - "id": "2aa75180", + "id": "951dec6f", "metadata": { "editable": true }, @@ -5665,7 +5677,7 @@ }, { "cell_type": "markdown", - "id": "bad889e8", + "id": "f09e051d", "metadata": { "editable": true }, diff --git a/doc/LectureNotes/_build/html/exercisesweek35.html b/doc/LectureNotes/_build/html/exercisesweek35.html index e0b625700..931f48f8d 100644 --- a/doc/LectureNotes/_build/html/exercisesweek35.html +++ b/doc/LectureNotes/_build/html/exercisesweek35.html @@ -414,11 +414,12 @@ analytical expressions is extremely helpful in case we have simpler derivatives as well as when we analyze various properties (like second derivatives) of the chosen cost functions. Vectors are always written as boldfaced lower case letters and matrices as upper case boldfaced -letters. You will find useful the notes from week 35 on derivatives of vectors and matrices.

+letters. You will find useful the notes from week 35 on derivatives of vectors and matrices. +See also the textbook of Faisal at al, chapter 5 and in particular sections 5.3-5.5 at https://github.com/CompPhysics/MachineLearning/blob/master/doc/Textbooks/MathMLbook.pdf

Show that

\[ -\frac{\partial (\boldsymbol{b}^T\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{b}, +\frac{\partial (\boldsymbol{a}^T\boldsymbol{x})}{\partial \boldsymbol{x}} = \boldsymbol{a}^T, \]

and

@@ -432,8 +433,8 @@ letters. You will find useful the notes from week 35 on derivatives of vectors a \]

and finally find the second derivative of this function with respect to the vector \(\boldsymbol{s}\). If we replace the vector \(\boldsymbol{s}\) with the unknown parameters \(\boldsymbol{\beta}\) used to define the ordinary least squares method, we end up with the equations that determine these parameters. The matrix \(\boldsymbol{A}\) is then the design matrix \(\boldsymbol{X}\) and \(\boldsymbol{x}\) here has to be replaced with the outputs \(\boldsymbol{y}\).

The second derivative of the mean squared error is then proportional to the so-called Hessian matrix \(\boldsymbol{H}=\boldsymbol{X}^T\boldsymbol{X}\).

-

Hint: In these exercises it is always useful to write out with summation indices the various quantities. -As an example, consider the function

+

Hint: In these exercises it is always useful to write out with summation indices the various quantities. Take also a look at the weekly slides from week 35 and the various examples included there.

+

As an example, consider the function

\[ f(\boldsymbol{x}) =\boldsymbol{A}\boldsymbol{x}, diff --git a/doc/LectureNotes/_build/html/searchindex.js b/doc/LectureNotes/_build/html/searchindex.js index a79d2a629..c2a350899 100644 --- a/doc/LectureNotes/_build/html/searchindex.js +++ b/doc/LectureNotes/_build/html/searchindex.js @@ -1 +1 @@ -Search.setIndex({docnames:["chapter1","chapter10","chapter11","chapter12","chapter13","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","clustering","exercisesweek34","exercisesweek35","intro","linalg","project1","project2","project3","schedule","statistics","teachers","textbooks","week34","week35"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["chapter1.ipynb","chapter10.ipynb","chapter11.ipynb","chapter12.ipynb","chapter13.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","clustering.ipynb","exercisesweek34.ipynb","exercisesweek35.ipynb","intro.md","linalg.ipynb","project1.ipynb","project2.ipynb","project3.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,26,27],"00":[0,1,5,6,9,11,26,27],"000":[1,3,9],"0000":9,"00000":9,"000000":[5,11,27],"0000000010":[],"00000000e":[5,27],"00000215":[],"0000164":[],"00002678":[],"00003617":[],"000054":[],"0000747":[],"00009903":[],"0001":1,"00010133":[],"0001042":[],"00011154":[],"00012095":[],"0001225":[],"00012277":[],"00012569":[],"00012934":[],"00013313":[],"00013514":[],"00014654":[],"00014662":[],"00014875":[],"00015097":[],"00015239":[],"0001539814498783133":[],"0001613":[],"00016373":[],"00016536":[],"00016826":[],"00017031":[],"00017755":[],"00018022":[],"00018629164426077816":[],"00018647":[],"00018653":[],"00019212":[],"00019432":[],"00019544":[],"00019607":[],"00019838":[],"00019883":[],"00019982":27,"00019998":5,"00020665":[],"00021042":[],"00021438167895478945":[],"00021512":[],"00021673":[],"00021836":[],"00022035":[],"00022902":[],"0002364":[],"00023679":[],"00023737":[],"0002382102844775691":[],"00024035":[],"00024087":5,"0002442":[],"00024449":[],"00025381":[],"00026064":[],"00026456":[],"00026778":[],"00026861":[],"00027064":[],"0002758":[],"00028129":[],"00028689":[],"00029012":5,"00029121":[],"00029993":[],"00030207":[],"00031112":[],"00031174":[],"00031535148309577417":6,"00031535148309580783":6,"00031579":[],"00032054":[],"00033136014047192484":[],"0003324":[],"00034076":[],"00034548":[],"00034759":[],"00034944":5,"00035097":[],"00035283":[],"00035753":[],"00036163":[],"00036838":[],"00038185":[],"0003826":[],"00038288":[],"0003844":[],"00038836":[],"00039592":[],"00039962":[],"00040199":[],"00040825":[],"000417932":2,"00042089":5,"00042114":[],"00042432":[],"00042748":[],"00043363":[],"00043656":[],"00043672":[],"00044036":27,"00044152":[],"00044663":[],"00044903":[],"00045244":[],"00046356":[],"000464088":2,"00047025":[],"00047054":[],"00048049":[],"00048325":[],"00048748":27,"00048917":[],"00049911":[],"00049929":[],"00050142":[],"00050383":[],"0005051756404139333":[],"00050694":5,"00051025":[],"00051793":[],"00052115":[],"00053008":[],"00055182":[],"0005557":[],"0005603761549585715":[],"00056165":[],"00056836":[],"0005701":[],"00057062":[],"00057083":[],"00057757":[],"00058016":6,"0005840075008020406":[],"00060705":6,"00061058":5,"00061585":[],"00061822":[],"0006225":[],"00062595":6,"00062752":[],"00063364":[],"00063862":[],"00064009":[],"00064115":[],"00064364":[],"00065237":[],"00065261":[],"0006527":[],"00066668":6,"00067395":[],"00068048":[],"00068088":[],"00068251":[],"00068734":6,"00068946":6,"00069073":[],"00070222":[],"00070937":[],"00071763":27,"00072326":[],"00072412":[],"00073541":5,"00074584":[],"00074611":[],"00074902":[],"00075597":[],"00075639":[],"00076029":[],"00076495":6,"00076617":[],"00076905":6,"0007698473260556325":6,"0007698473260556343":6,"00078616":[],"00079129":6,"00079216":[],"00079910":[],"00079968":5,"00081564":[],"0008159":[],"0008187895061620525":[],"00082447":[],"00083346":[],"00083685":[],"00083826":[],"00084705":6,"0008527":[],"00085301":[],"00085889":6,"00085946":[],"00086063":[],"00087126":[],"00087697":6,"00088573":5,"00089187":[],"00089362":[],"00089434":26,"0009075":[],"00090992":[],"00091628":[],"00092039":[],"00092107":[],"00092647":6,"000929":[],"00092902":[],"00092904":[],"0009485400848532":[],"00096314":5,"00096557":[],"00097342":[],"00097487":[],"00097522":[],"00099888":[],"001":[1,2,8,13],"00100519":6,"00100807":[],"00101364":[],"00102956":[],"00103827":[],"00104613":[],"0010479245926411787":6,"00105081":6,"00105497":[],"00106677":5,"00107008":[],"00107405":6,"00109941":[],"00110716":[],"00111016":27,"00111454":[],"00111495":[],"00111512":[],"00111756":6,"00113717":[],"00114101":[],"0011526":6,"00115506":[],"00115669":[],"00115999":5,"00117071":[],"00117125":[],"00117627":[],"00118508":6,"00118591":[],"0011878":[],"00119699":[],"00119895":[],"0012":[],"00120436":27,"0012099":[],"0012202975664411882":[],"00122558":[],"00123144":[],"00123457":[],"00125459":[],"00126452":[],"00126617e":[],"00127423":[],"00127469":[],"00127672":[],"00128282":[],"00128479":5,"00131428":[],"00132125":[],"001323":6,"00132783":[],"00133103":[],"00134327e":[],"00134337":[],"00135736":[],"00137818":6,"00139705":5,"00140139":[],"00140849":[],"00143234":[],"00144711":[],"00145601":[],"00145652":[],"00145679":[],"00145732":[],"00146158":[],"00146287":[],"00148047":[],"00148709":[],"00149047":[],"00149311":6,"00149403e":[],"00149956":6,"00152117":6,"00154733":5,"00154860":[],"00155308":[],"00155701":[],"00156376":6,"00158754":[],"00160348":[],"00161414":[],"00163245":[],"00163526":[],"00165867":[],"00166551":[],"00166612":[],"00168135":[],"00168251":5,"00169021":[],"00170724":[],"00172117":[],"00172452":[],"00174276":6,"00174457":[],"00175331":6,"0017567":[],"00176697":[],"00178871":[],"00181115":[],"00182747":[],"00183398":[],"00183869":[],"00184151":[],"00185848":[],"00186347":5,"00186362":[],"00186694":[],"001880":5,"00188233":[],"00189101":[],"00189665":[],"00190413":[],"00190483":[],"00190742":[],"00192967":[],"00197982":[],"00198187":[],"00199495":[],"0019973":27,"00200":8,"00200523":[],"00201728":27,"00202624":5,"00202679":[],"00202756":6,"00203959":[],"0020496":[],"002050":[],"00206124":[],"0020717457079393":[],"00207732":[],"00208264":[],"00210909":[],"00211371":[],"00213144":[],"00213264":[],"00213616":[],"00213947":[],"00214832":[],"00215333":[],"00217499":6,"00217694":[],"00217774":[],"00219194":[],"00219502":[],"00219624":[],"0022":[],"00220306":[],"00223784":[],"00224413":5,"00224679":[],"00224783":[],"00225189":[],"00225484":[],"00225909":[],"00227563":[],"00228698":27,"00228742":6,"00229911":[],"00233436":[],"00234197":[],"00234327":[],"0023548":6,"002381316302584886":6,"0023813163025848865":6,"00239349":[],"00241318":[],"00242398":[],"00242421":[],"00242847":[],"00242954":[],"00242999":6,"00243186":6,"00243341":[],"0024401":5,"00245177":[],"00245758":27,"0024598":[],"00248884":[],"00248975":[],"00249435":6,"00249831":[],"00251517":[],"00253137":27,"00254359":[],"00254976":[],"00255459":18,"00258249":[],"00259385":[],"00264305":[],"00266858":2,"00267063":27,"00267887":[],"00270244":5,"00271624":[],"00272135":[],"00272586":[],"00274989":6,"0027511":[],"00277816":[],"00280363":[],"00283853":[],"00284542":[],"00284647":[],"00286269":[],"00286972":[],"00287151":[],"00287871":[],"00289358":[],"00289724":6,"0029114":[],"00291334":[],"00291822":[],"00292838":[],"00293072":[],"00293132":[],"00293838":5,"0029508":[],"00298058":[],"00298213":[],"0030207":[],"00303693":[],"00305172":[],"00306724":[],"00308251":[],"003100":[],"00310113":2,"00310577":[],"00311528":[],"00312207":[],"00312361":6,"00313125":[],"00313452":[],"00313577":[],"00315593":6,"00316561":[],"00317175":[],"00318122":[],"00320321":27,"00320591":[],"0032153180657605116":6,"00323332":6,"00324512":[],"00324969":[],"00324986":[],"0032531":[],"0032542":5,"00325429":[],"00325450":[],"00327313":[],"00327833":[],"00328377":[],"00328431":[],"00328494":[],"003301":6,"00332591":[],"00334743":[],"00335448":[],"0033575":[],"00335936":[],"00335942":[],"00335956":[],"0033955154592040923":6,"00341073e":[],"00343257":[],"00345227":[],"00346394":[],"00348543":[],"00349817":[],"00353575":[],"00353823":5,"00354307":[],"00354492":[],"00354541":27,"00358844":[],"00359612":[],"003620":[],"00362111":[],"00362359":[],"0036237":6,"0036367":6,"0036718":[],"00368581":[],"00369758":6,"00370554":[],"0037095":[],"00371918":[],"00372054":[],"00372262":27,"00372657":[],"00373984":[],"00374279":[],"00375475":[],"003755":[],"0037744":[],"00378113":[],"00379522":[],"00382166":[],"0038332550504751595":[],"0038335":6,"00383795":13,"00383872":[],"00387135":[],"003909404072811221":6,"00391839":5,"00392139":[],"00395659":[],"00396398":[],"00396988":[],"00398509":[],"0039987":6,"004":5,"00402083":[],"00408859":27,"004091940707753925":6,"00410387":6,"00410478":6,"00410646":[],"00411073":[],"004113634617443131":[6,27],"00411363461744314":[6,27],"004113634617443147":[6,27],"00413413":[],"00415289":[],"0041559863458613296":6,"00419078":27,"00420072":[],"00422908":[],"00423753":27,"00424012":[],"00424046":[],"00424909":2,"00424967":6,"00425203":[],"0042536":[],"00426027":5,"00426531":[],"00427304":[],"00428336":[],"00429899":[],"00431775":[],"00433417":11,"00434364":[],"0043675":[],"00437973":[],"00439232":[],"00439287":[],"00440346":6,"00440395":[],"00441613":[],"00443743":6,"00445655":11,"0044697":[],"00446979":[],"00447992":[],"004480":[],"00449913":27,"0045052":[],"00451679":[],"00453622":[],"00455536":[],"00456302":[],"004579219539673834":6,"00458878":6,"00460304":[],"00460405":[],"004610275230656182":6,"00461151":[],"00462287":6,"00463639":[],"00464812":[],"00465099":[],"00469926":[],"0047085":[],"00471782":5,"00471983":[],"00472199":6,"00472251":[],"00472512":6,"00472549":[],"00473818":[],"00474485":[],"0047469652158":23,"00474697":23,"00478655":[],"00479935":[],"00480366":[],"00480371":[],"00485256":[],"0048526":[],"00486095":[],"00486122":[],"00486302":[],"00486475":27,"00487843":[],"00488992":[],"0048938":[],"0049544":6,"004999999999999994":[],"004999999999999996":[],"005":[],"005000000000000001":[],"005000000000000002":0,"0050256":[],"00502702":[],"00504808":[],"0050523":27,"00506878":[],"00507876":[],"00509089":[],"0051127":[],"00512927":5,"00517114":6,"00517832":[],"00518122":[],"00519105":[],"00520339":27,"00521152":27,"00526348":6,"0053018":6,"005332694146660865":23,"00534938":[],"00536771":27,"00537764":[],"00538851":[],"00542313":[],"00543374":[],"00544013":[],"00544651":[],"00546406":27,"00549812":[],"00550379":[],"00550433":[],"00551642":[],"00552246":[],"00554552":6,"00555311":[],"00555765":[],"00555974":[],"00556826":6,"00556958":[],"0055851":27,"0055941":[],"00562524":[],"00565625":[],"0056799":5,"00568413":[],"00569304":[],"00569405":[],"005704419462575732":[],"00570653":27,"00575158411598985":[],"00575271":[],"00579953":6,"00580212":[],"00584432":[],"00585113":[],"00587502":[],"00587564":[],"00587659":[],"00588657":6,"00594042":[],"00594353":[],"00595134":[],"00595615":[],"00598615":[],"0059888":[],"0060":[],"00600971":[],"00604105":[],"00604596":[],"006046":[],"00607264":[],"00607783":6,"00610607":[],"00611979e":[],"00613258":[],"00615193":[],"00615394":[],"006162":6,"00617499":5,"00618095":[],"00619918":[],"00620039":[],"00620347":[],"00622235":18,"00624452":[],"00626028":[],"00626773":[],"00626797":[],"00627535":[],"0062825":[],"00628874":[],"00630331":6,"00630419":[],"00631057":[],"00635214":[],"00635375":[],"00635475":[],"00635624":[],"00635865":[],"006388972817810939":[],"0064028529426007315":[],"00641337":[],"00642221":6,"00642268":[],"00642935":[],"00643466":[],"00643899":[],"006448211685467599":[],"00644939":[],"00646613":[],"00651112":[],"006546368424400406":[],"00657884":[],"00658316":[],"00658451":[],"0065912":[],"00660427":6,"006607878954530523":[],"0066334":[],"006636003206469997":[],"00663699":[],"00665974":[],"00666902":[],"00669662":[],"00670173":27,"006719367598355617":[],"00672607":6,"00673407":6,"00674454e":[],"00674891":27,"00676387":6,"0067774848881855445":[],"00679037":27,"00679797":[],"00679887":[],"0068011":6,"00680794":[],"006829400694106674":[],"00683222":[],"00683748":5,"00683964":6,"00686801":[],"00686806":[],"0068697":[],"00687175":[],"00693764":18,"00693821":[],"00695723":[],"00701442":[],"007021475481484069":[],"0070235":[],"007024126888938144":6,"00703161":[],"00703355":[],"00704231":[],"00704347":[],"00706728":[],"00710445":[],"00712321":[],"00713411":27,"0071642501586093735":[],"00717079":[],"00719176":6,"007241647844213045":[],"0072595":[],"00726135":[],"0072636":[],"00726673":[],"0072675":[],"00727211":[],"00727646693":[0,26],"00728374":[],"007315":27,"007322039527455341":[],"007328424743352142":27,"007352":[],"00736955":[],"00738008":[],"007384439324451296":[],"00739382":[],"00739489":[],"00741987":[],"00742577":[],"00743189":27,"0074331":5,"00745959":[],"007460527840396904":[],"0074724":[],"007472516848671787":[],"00752224":[],"00753349":[],"00754534":[],"00756465":[],"00756831":[],"00759119":6,"007607459165915922":[],"00761275":[],"007631009573777696":[],"007652435292578527":[],"007661225358276448":[],"00769731":[],"0076995":[],"00771754":27,"00777931":[],"007785":[],"00778523":[],"00779268":[],"00780776":[],"00781918":[],"00784393":6,"00784983":[],"00788598":[],"007891914573161948":[],"00790262":[],"00796028":[],"00798188":[],"007984802498580442":27,"00798988":[],"00799998":[],"00801855":[],"00802883":[],"00803064":6,"00803115":[],"008043926731954223":[],"00804985":[],"00805074":[],"00805892":[],"00806245":[],"00813313":[],"00813803":6,"008142188979400687":[],"00817631":6,"00817834":[],"00822879725131466":[],"00823002":5,"00825399":[],"00827728":6,"00828799":[],"00830291":[],"00830733":[],"00830822":[],"00831018":6,"00832189":[],"00834567":6,"00836148":[],"00843617":[],"00844667":[],"00846262916105675":[],"00848002":[],"00848904":6,"00851512":[],"00853836":[],"008547718003792035":[],"00856436":27,"00857028":[],"00858536":[],"00858886":[],"00862101":[],"00862798":[],"0086649156":[0,26],"008675369724975977":5,"00868086":[],"00868983":[],"008771887357306985":[],"00879363":[],"00880924":[],"00883798":[],"00887114":[],"008886608472273775":[],"008897354602673473":[],"008900933315885705":[],"00890232":[],"00892604e":[],"00893027":[],"00894639":5,"00900007":27,"00900879":[],"00903369":[],"00905423":6,"00906293":[],"00912605254990626":[],"00914964":[],"00915265":[],"00915433":[],"00915458":[],"009163470508352218":5,"009164545680330616":6,"00917248":6,"00919237":[],"00920609":[],"00922229":[],"00923278":[],"00925952":27,"00929251598272297":[],"00934327e":27,"00934499":6,"00934865":[],"00938585":[],"0093869":[],"009442796383765939":[],"00946219":[],"00946636":[],"0094885":[],"00949598":[],"00950778":[],"00952322":[],"0095239":[],"00952586":[],"00953152":[],"0095653":[],"00956774":[],"0096208":6,"00962351":[],"00974702":[],"00976647":[],"00976807":[],"009780101492052846":[],"009843577857448754":[],"009855809602167547":[],"00986552":[],"00989896":[],"00990475":5,"00992331":6,"00996754":6,"00996972":[],"01":[0,1,2,5,6,9,11,13,25,26,27],"01001307":18,"01001378":[],"010018312644139219":6,"01004321":[],"01004759":27,"010053880703541525":[],"01006042":[],"01006401":[],"0100706":6,"0100949":[],"01011906":[],"01012542":27,"01012951":[],"01014809":[],"01018743":[],"010203":[],"01023308":[],"01024227":[],"01025184":[],"01027992":[],"01028728":[],"01029574":[],"010296":[],"0103092":27,"01031184":[],"010315":[],"01031541":[],"01031903":[],"010331721306655165":6,"01033856":[],"010349011563455255":[],"010349061754867921":[],"01035984":[],"01038358":[],"01044641":27,"01045155":[],"01045774":[],"010490200097725966":[],"01050849":[],"010516485576646504":6,"0105301":[],"01054509":[],"0105536":[],"01056529":27,"01059601":[],"0106014":[],"010647923296938294":[],"01066519":6,"01066976":[],"01068907":[],"01076611":5,"01076733":[],"01080274":[],"01083628":[],"01085192":[],"01088331":[],"01089797":[],"0109":[],"010902":[],"01091059":[],"01092119":[],"01094579":[],"01094846":[],"01095703":[],"01097223":[],"01097423":[],"0110":23,"011016261190269798":27,"011031108072207247":[],"01103246":[],"01107621901137467":6,"01111477":[],"0111154":[],"01112952":[],"01115073":27,"011225":2,"01128968":[],"01130932":[],"0113104":6,"01131704845508782":[],"01135167":[],"01135924":[],"01136976":[],"011376853216444322":[],"01148039":[],"01151984":[],"01152362":27,"01152476":[],"01159033914386312":[],"01161357":[],"01163425":[],"01164198":[],"01165807":[],"0117496656370668":[],"01176096":[],"011761161707539526":[],"011789112484359082":[],"01179792":6,"0118633":[],"01191227":[],"011917343246903285":[],"01191824":5,"01193226":[],"01201742":[],"012073649469946107":6,"0120771":[],"01212083":[],"01214101":[],"01219292":6,"01220627994790804":[],"01220987":[],"01222822":27,"01223198":6,"01229732982000352":[],"01231917":6,"01233322":[],"01233332":[],"01235481":[],"01239337":[],"01247118":[],"01257265":[],"01262581":[],"01264352":27,"01265755":27,"012658":27,"01267006":[],"01268892":[],"01269201":27,"01271496":27,"01272215":[],"01278035":[],"01281486":[],"012815095479733507":[],"01282674":[],"012874822204495243":[],"01288591":[],"01289962":[],"01290811e":[],"01290947":6,"01291943":[],"01292378":[],"01295356":5,"01299337":[],"01300561":[],"0130673":26,"01312013610582818":[],"013121574062587286":6,"01318643":6,"01318991":27,"01321652":[],"01323615":[],"01325225":[],"01329488e":[],"01331589":27,"01333519":27,"013341":[],"01334173":27,"01335857":[],"0134093":[],"01344196":[],"01344581":[],"01347636":[],"01347916":6,"01348565":6,"01349183949256158":[],"01362274":[],"013623165903312745":[],"01362461":[],"01365363":[],"01366733":[],"01367553":6,"01372375":[],"013742894355267554":[],"01379422":[],"01382052":[],"01384493":[],"01386842":[],"01389847":[],"013918526350129823":[],"01397146":6,"01397927":[],"01402574":[],"01404858":[],"01405237":[],"01405935":6,"01408051":[],"01409821":[],"0141301":[],"01416528":6,"01420034":[],"01420455":27,"01423609":[],"01424197":[],"01427149":[],"01427509":[],"01432847":[],"01433809":5,"01436601":[],"01440978":26,"014436800088896381":6,"01448147":[],"01449782":6,"01455922":[],"01456159":[],"01458337":6,"014586":27,"01458611":27,"0146081":6,"01463049":6,"01463052":[],"014717861297042837":[],"01476097":[],"01477821":[],"01478446":[],"0148722":[],"01492":[],"0149713":[],"0149947":[],"01502518":[],"0150723888951771":6,"01507238889517717":6,"01508632":[],"01508966":[],"01512934":[],"01514564":[],"01516054":[],"01518949":[],"01519861":[],"01521658e":[],"01524072":[],"015244":[],"01526688":[],"01529503":[],"01529708":[],"01531845":6,"01533437":[],"01537557":[],"0154132":[],"01541622":[],"01541649":[],"0154222":[],"01542292":[],"01544605":[],"01548272":[],"01549377":6,"01549726":[],"01549939":[],"01550381208433455":[],"01550546":[],"01552289":[],"015547997320024485":[],"01554799732002449":[],"01555268":[],"01558197":5,"01562311":[],"01566461":[],"01571866":[],"01574606":[],"01580414":[],"01581562":[],"01584232":27,"01591021":[],"01593612":[],"01594452":[],"01596986":[],"01597952":[],"01600491":[],"01603602":[],"01604113":[],"01607534":[],"01612033e":[],"01616709":[],"01617722":[],"01617829":[],"01619456":[],"01619664":[],"01621244":[],"016285782696017142":6,"01629703":[],"01631541":[],"01632212":[],"01633169":[],"01633913":6,"0163462":18,"0163562":[],"01640891":6,"01642305":[],"016541517177965183":[],"01655318":6,"016587414993045335":6,"01659559":[],"01662346":[],"01663866":[],"01667827":[],"01671556":[],"01678384":[],"01678538":[],"016797223248922855":[],"01684326":[],"01686552155492476":[],"01690512":[],"01691871":[],"01691985":6,"01692802":[],"0169643":5,"01696872":27,"016972818397989375":[],"01702968":[],"01704432":[],"01707943":18,"01708691":[],"01708781":6,"01708852":6,"01713366":6,"01715886":[],"01715895":[],"01722502":[],"01724499":5,"01731293":[],"01735584819559331":6,"017355848195593312":6,"01736502":[],"01743586":[],"01747077":[],"0174912":[],"01752908":[],"0176":[],"01762067":[],"01765474":[],"017665":5,"01771317":[],"01773579":[],"01775594":[],"0177568":[],"017779706159045054":[],"0178182":27,"01782721":[],"01783105":[],"01783414e":27,"0178392":[],"01784714":[],"01788241":27,"01791265":27,"01797226":[],"0180":[],"01800865":[],"0180194":[],"01806634":[],"01809873":[],"01811045":[],"0181166":[],"018232":27,"0182548":26,"01828101e":[],"01828593":[],"01831050e":6,"01831207e":6,"01834042":[],"01835274":[],"018425115690829077":[],"01842511569082908":[],"01842607":[],"01848399":[],"01853877":[],"01856502":[],"01859922":[],"01865187e":[],"01866537":6,"01867985":[],"0186893":[],"01869843":[],"01873344":11,"01873869":5,"01878557":23,"01881546":[],"01882522":[],"01883403":[],"01889695":[],"01895265":[],"0189559":[],"01896127":[],"01897575":[],"01898855":6,"01899119":[],"01900861":[],"01905883":6,"01908936":6,"019140656913589":[],"01914066":[],"01915888":[],"01916913":[],"0191717":[],"01918548":[],"01919702":[],"01919885":[],"01925607":[],"01931743":[],"01934278":27,"01936105":[],"01950910892363912":[],"019509108923639135":[],"01956921":[],"01959569":27,"01961887":27,"01962446":[],"01963203":[],"01963611":6,"01969145":6,"019709199043491926":[],"01971341":[],"01975416527168255":6,"01975848":6,"01985410516551995":[],"01987248":[],"01989299":[],"01989549":[],"01992842":27,"01999282":[],"01it":6,"02":[0,4,6,7,12,26],"020056743323946552":[],"020056743323946562":[],"0200568":[],"02006627":23,"02012338":[],"02017377":[],"02017735":27,"02024701e":[],"02024962":6,"020271":[],"02030107":[],"020350773309798075":[],"02035077330979808":[],"02036289":[],"02036545":[],"02037613":[],"020404272938413143":[],"02042476":[],"02044454":[],"02045972":5,"020460":5,"02049182":[],"02053512":[],"02054837e":6,"02058094":[],"02061026":[],"02061094":[],"02063627410934057":[],"020636274109340574":[],"02066371":[],"02068067":6,"020696011238315368":[],"02069601123831537":[],"02071142":[],"02071639169376938":[],"020716391693769383":[],"0207306":[],"02073509":5,"02075115":[],"02075802":[],"02079171":[],"02081274":[],"02083512":[],"020876278817012876":[],"02087627881701288":[],"02089297":[],"02090296":[],"02093685":[],"02095266":[],"02097611":27,"02098261":6,"02100763":[],"02103178":[],"02106518":[],"02108223":[],"02109939":[],"02115366":[],"02123176":6,"02124814":27,"0212604":[],"02126208":[],"02131025":[],"02138525":[],"02138725":[],"021592704588021174":6,"021592704588021178":6,"02161016":[],"02165757":[],"02174822":[],"02178063":[],"02178583":[],"02183021":[],"02186131":[],"02190496":27,"02192091870116783":[],"02194347":27,"02198702e":6,"02198703e":6,"02200532":[],"02206965e":[],"02208512":6,"02210753":[],"02215597":[],"022156":[],"02217472":27,"02220437":[],"022210866177877393":[],"02221978":[],"02222502":26,"02227466":[],"02228115":6,"02229529":6,"02231445":[],"02241311":[],"02244382":[],"02244542":[],"02244755":[],"02250553":[],"02252765":5,"02260804":27,"02268114":[],"02276062":[],"02279801":[],"02279888":[],"02283241":[],"02284019":[],"02286429":[],"02287894":[],"02288816":[],"022934":[],"02293408":[],"022964339924731444":[],"022964339924731455":[],"022999498260366198":6,"02308518":[],"02314144":[],"0231703":[],"02329285":[],"02330402":[],"02337045":[],"02339588":[],"02348765":6,"02355925":[],"02356396":[],"02357982":[],"02365049":6,"02365779":[],"02374036":18,"02375823":27,"023810076900619058":[],"02385515":[],"02387339":[],"023888460698069384":[],"02392053":[],"02395532":[],"02400359":[],"02400968":[],"02410507":[],"02416381":[],"02417252675174287":[],"02417252675174288":[],"02419664":[],"02424794":[],"02426651":[],"02430551":[],"024318244280276506":[],"02447466":[],"0245528":6,"02460355":[],"024632":[],"02468681":[],"02472584e":[],"02485679":[],"02492265":5,"02493299":[],"02498832":6,"025027":[],"02503753":6,"02507163":[],"02508836":[],"02509184":[],"025092":[],"02511518":6,"02518542":[],"02522069":6,"02527366":[],"02531037":[],"02536494":[],"02539496":[],"02542246":[],"02545639":[],"02546675":[],"02570599":27,"025709":[11,27],"02574735e":[],"02576476":[],"02582613386840159":[],"02586427":6,"02588522":[],"02590077":[],"02592329":[],"02593026":[],"02593596":[],"02597965":27,"02603725":[],"0260906":6,"02610528":[],"02614999":[],"02618169":[],"02622906":[],"02623724":[],"026250840755899812":[],"02625193":8,"02635835":[],"02636112":[],"02636766":[],"02641575":[],"02659851591375224":[],"026605727637184554":6,"026605727637184558":6,"02666129":[],"02689869":[],"0269":[],"0269769337028265":[],"02699539":[],"02699873":[],"02702328":[],"02702978":[],"02706508":[],"02707227":5,"02711384":[],"0271761":[],"02717614469297529":[],"027176144692975295":[],"02723445":6,"02730775":[],"02733896":[],"02745507":[],"02746315":[],"02747654":[],"0275742":[],"02757522":[],"02760079":[],"02760977349102238":6,"027609773491022394":6,"02761736":[],"02763182":[],"02764023":[],"0276735":[],"02774744":[],"02790465":[],"02791218":[],"027931820179105067":23,"02798066":27,"0280":[],"02800421":[],"02804715":[],"0280728":27,"02809859":[],"02810253":[],"02810512":[],"02816083":[],"02825691704728396":[],"028256917047283964":[],"02836801":[],"028389":[],"02838933":[],"02845284":[],"02857":4,"02865084":[],"02866734":[],"0286851":[],"02869709":[],"02873348":[],"02876697":[],"028797":[],"02881357":[],"02881541":[],"02888614870607853":[],"02888733707368374":[],"028892725706100464":[],"02889288030564785":[],"02892224":[],"029":[],"02900389":[],"02900886":5,"029009":5,"02911162":[],"02912421":[],"0293055":[],"02930957":[],"02942218":[],"02944425":[],"02947717":[],"029483":5,"02950229":[],"0295741":[],"0296969":[],"02971902":[],"0297291":[],"029733":27,"02976145":6,"02987833":[],"02992852":[],"02994311":5,"02997344":[],"02f":[6,19],"03":[1,6,27],"03011012":[],"0301458":[],"03015649":[],"03019138":[],"03025391":[],"03027848":[],"03032441e":6,"03037095":[],"030371":[],"03045198":27,"03049638":[],"03056169":[],"03058676":[],"03060273":[],"03061555":[],"03063575":[],"03065428":[],"03067182":[],"03074083":[],"03077640549":4,"03099776":5,"031":5,"03101773":27,"03102525":[],"03104011":27,"03106988":[],"03107818":[],"03110176":[],"03110433":[],"03112297":[],"03113051":[],"03117156":[],"03117346":27,"03119091":[],"03126418":26,"03131157":[],"03131926":[],"031405320178937886":5,"03141454":[],"03145163":[],"0314934":[],"03172365":[],"03177421":[],"03192124":[],"03195835":[],"03196357":6,"03203047":[],"032142":27,"03219974":[],"03230546":[],"03251863":5,"03256632e":1,"03257064":[],"03258131":23,"03267527":6,"03270341":[],"03273744":[],"03279636":6,"032829":26,"03285652":[],"03286226":[],"0330308045183219":6,"0330308045187757":6,"03308408":5,"03310687":[],"0331134070762626":[],"03311341":[],"03316272":[],"03321947":[],"03325534":[],"03331552e":[],"03338173":[],"03342039":27,"03353115":[],"03365768507152769":6,"03370315":[],"03375068":[],"03376827":[],"03378293":[],"033790755027115954":[],"03388678":[],"03389626":[],"03389964":[],"03394827":[],"0340060287164625":[],"03400603":[],"034047":[],"03407676546787885":9,"03412098":[],"03413554":27,"034169230664804":[],"03418359":18,"03422156":[],"03432913":[],"03438051":[],"03443175":[],"03447512":6,"034557":27,"03456485":[],"03465345":27,"03467756":[],"03472297":[],"034723":[],"034985":[],"03512212":26,"03518305":[],"03523894":[],"03530741":[],"0353961":[],"03543039":[],"03543455":[],"03543554":[],"03543958":[],"035513525941656535":[],"03556032":[],"03557316":[],"0356":[],"03562355":6,"03564082":[],"03568016":27,"03568439":6,"0358":[],"0358108":[],"03582958":[],"03585592":[],"0359":[],"035909":[],"03591454":[],"0359565":5,"0361":[],"03611471":[],"03616508":[],"0362":[],"0362312015777108":[],"03630548":6,"03631783":[],"03633213":[],"0364":[],"03645765":[],"0365":[],"03660869":[],"03663294":[],"0366352614656884":[],"0367":[],"0368":[],"03688621":27,"0369":[],"03697739":27,"0370":[],"03707133":11,"03717939":[],"03718245":[],"0372":[],"03727597":[],"03728183e":[],"0373":[],"03735403":[],"03745017":[],"0374748":[],"0375":[],"03756493":[],"0375827":[],"0376":[],"03774822e":[],"0377625":[],"0377961":[],"0378":[],"03781367141738902":6,"038":[],"0380":[],"03804636":[],"0381":[],"03813208":[],"03814292":6,"03815288":6,"038211969489939":[],"03821197":[],"0382287":18,"03827068":[],"0383":[],"038300":[11,27],"0385":[],"03856554":[],"0386":[],"0386443":[],"03868779":[],"03872663":[],"038727":[],"03876784":[],"0388":[],"03880581":[],"038844":[],"0389":[],"03894328":[],"03894873":[],"039":[],"03902389":[],"039039":5,"03903968":[],"03904224e":[],"03908546":[],"0391":[],"03914571":[],"0393":[],"03935519":[],"03940381":[],"03945128":[],"03946221":[],"0395":[],"03955811":[],"0396":[],"03967758":[],"0398":[],"03982972":[],"0399587275832265":[],"039967668952797":6,"0399676689527975":6,"03999935":[],"04":[1,6,11],"0400":[],"0401":[],"040102":5,"04010697":6,"04014929":[],"0401585":[],"04028659":[],"0403":[],"04045671":[],"0405":[],"04051862":[],"04057027":[],"04058784":[],"04059438":27,"04063602":6,"0407":[],"0408":[],"04081883":[],"04083439":[],"04084872":[],"041":9,"0410":[],"04103307":[],"041050166905828786":[],"04107874":[],"041079":[],"04111096":[],"0411487294305088":6,"041148729430523":6,"0412":[],"04127087":[],"0413787":[],"04138379":[],"0414":[],"04143717":[],"0415":[],"04166112":[],"0417":[],"04175792":[],"0419":[],"04191624":[],"04191629":[],"04193203":27,"04198166":[],"042044382097756156":[],"0421":[],"04210353":26,"04210928":27,"04214702":[],"04218461":[],"04220758":6,"04223754":[],"04225015":[],"0423":[],"0424":[],"04246989":[],"04252528":[],"04259402":[],"0426":[],"04272582":5,"042726":5,"04276324":27,"04276619":[],"0428":[],"04292593":[],"04294775":26,"04295757":[],"04299253":[],"043":9,"0430":[],"04310095":[],"04310698":[],"04314342":[],"04315108":5,"0431531":[],"0432":[],"0434":[],"043464037468677":[],"043464037468677004":[],"04346721":5,"0435":[],"04355837":6,"04362":9,"04362755":[],"0437":[],"04372783":[],"0437499":2,"04389027":6,"0439":[],"04391163":[],"043912":[],"04400708":[],"0441":[],"04415412":[],"04416475":[],"04423486":6,"0442411":[],"04426647":[],"04426744e":27,"0443":[],"044334":27,"04438319":[],"04446751":27,"04448923":[],"0445":[],"04450975e":[],"044613":6,"0447":[],"0447389":[],"04473913":[],"04478101":[],"04482932":[],"0449":[],"0451":[],"0453":[],"04532032":[],"04537385":6,"04539538":[],"04543942":6,"04547353":[],"0455":[],"04555073":[],"04557362":[],"04561434":[],"04565093":[],"04566964":6,"0457":[],"04570437990371566":[],"04574692":[],"0458":9,"04581197":[],"04584982e":[],"0459":[],"04597076":[],"04598223":[],"0461":[],"04619338":[],"04626011":13,"0463":[],"04634083":[],"04640211541749118":[],"04648335":5,"0465":[],"046531":[],"04662395":[],"04669463":[],"0467":[],"04683565":5,"0469":[],"04690007":[],"04699527":[],"0470705":[],"0471":[],"04720848":[],"0473":[],"04746791":[],"0475":[],"04754825003279861":[],"04754825003279862":[],"0476021":[],"0477":[],"04770636":[],"04771954":[],"04778116":[],"04784395":6,"0479":[],"0481":[],"04811582":[],"04814746":[],"04816611e":[],"04818727730430286":6,"04822955":[],"04828291":[],"0483":[],"0485":[],"0486":[],"04869126e":[],"0487":[],"048920":[],"04892055":6,"0489354":[],"04899609":[],"0490":[],"04900086":[],"04908155":[],"04909093":6,"04912436":6,"04919181":[],"0492":[],"04926746":[],"04931542":[],"04937621":[],"0494":[],"049462":[],"049556996627824":6,"0495569966278269":6,"04956816":[],"04958045":[],"0496":[],"0496375":[],"04964381":[],"04965227":[],"04977051":[],"04977093":[],"0498":[],"04it":6,"05":[1,3,4,6,13,19,27],"0500":[],"05000867":[],"05006306":[],"05009826":6,"05024857":[],"0503":[],"05049873":[],"0505":[],"05056463":[],"05062537":[],"05063935014924984":[],"050663":[],"05066303":[],"05066388e":[],"0507":[],"05081566":27,"0509":[],"05091289":[],"05100557":27,"05100875":6,"0510594":[],"0511":[],"05110385":[],"05126901":[],"05137822":[],"0514":[],"051418":5,"0516":[],"05160313473529168":[],"051649":[11,27],"0516821246279795":[],"0517473":5,"05179687":27,"0518":[],"05183886":[],"05195184":26,"05197707":[],"0520":[],"05203331":18,"05206787e":[],"05211842":[],"05227921801205679":6,"0523":[],"052305":27,"05234611":[],"05235058":[],"0523738":[],"05238712":[],"05243298":[],"0525":[],"05250129":27,"05253796":27,"05263":9,"0526992":[],"0527":[],"05274561":[],"052836183775253814":[],"05293662":[],"052992":[],"0530":[],"05302":9,"053157":11,"0532":[],"05322899":[],"053326337300775":23,"05332634":23,"0534":[],"05341376":[],"053417":27,"05350297":[],"05357244":[],"05363014989229746":[],"05364854":8,"0537":[],"05383795":6,"053849":5,"05388549e":[],"0539":[],"053944":[],"0541":[],"05412502":[],"05419212":[],"0542566":[],"05432856":[],"054375":[],"0544":[],"05446143":[],"05447415":6,"05459089":[],"0546":[],"054617":27,"054655":27,"05466359":[],"05485044745873865":[],"05485044745873867":[],"0549":[],"054954":[],"05502969":[],"05505310046363":2,"0551":[],"05515143e":[],"05526765":[],"055294":11,"0553":[],"05533":9,"05544019":[],"0556":[],"055676":27,"055697":[],"05570692":[],"055706923889776":[],"055734":27,"0558":[],"05589275":[],"055893":[],"055910":27,"05594058":[],"055987":27,"05599355":[],"05599455":[],"056019":[],"056030":[],"0561":[],"05612456":27,"05614483":5,"05623":9,"05629549":[],"0563":[],"05637138":[],"056418":[],"05648":9,"05651951":6,"0565419":[],"0566":[],"05667":9,"056683":27,"0568":[],"056870":[],"05687021620384533":[],"056898":[],"05695438":[],"056996":[],"057050038714429464":[],"05705003871442947":[],"05708058":26,"0571":[],"057124":[],"05713748":[],"05715377":[],"057154":[],"05716368155342902":6,"057179":[],"057219":[],"057231":[],"0573":[],"057300":27,"057361":[],"057393":27,"057406":[],"057418":27,"057446":[],"057457":27,"057462":[],"057502":[],"05750876":[],"057537":11,"057582":11,"0575829":27,"0576":[],"057613":[],"057657":[],"057722":27,"0578":[],"05781491e":[],"057831":[],"057835":27,"05785343":6,"057864":[],"05789007":6,"05792524":[],"05796251":6,"05807125":6,"0581":[],"058121":[],"058216":[],"0582573":[],"05825965":[],"05834444":[],"058388":[],"0584":[],"058435":[],"05846851":27,"05852973":[],"058550":[],"058552":27,"058556":[],"058567":[],"0586":[],"058645":27,"05873105":[],"058738":[],"058793":[],"05880359":[],"05883":9,"05884":9,"058854":27,"058856":[],"0589":[],"058921":[],"0589434":[],"058952":27,"058996":27,"059004":[],"05900655":[],"059031":27,"0591":[],"05915945740690532":[],"05916189":[],"059182":[],"059232":11,"05924492":[],"0594":[],"059427":[],"059439":[],"05948007":[],"05966593":[],"059685":[],"0597":[],"059736":[],"059749":[],"05977068":[],"059807":27,"05980771":[],"05982961":[],"059830":[],"05989176e":[],"05989727":[],"0599":[],"059925":11,"059949":[],"059951":27,"05996719":[],"05999":9,"059993":27,"06":[3,4,6,9,27],"060001":[],"060037":[],"060083":27,"0602":[],"06020587":6,"06020683e":[],"060254":27,"06026294":[],"060278":[],"060300":[],"060334":[],"060349":[],"060387":[],"06043581":6,"0605":[],"060524":11,"060567":[],"06059304":[],"06066397":[],"060691":[],"0607":[],"0607062":[],"060716":27,"06072551":[],"06075426":[],"060756":27,"06077967":[],"060845":[],"060872":27,"06090176":[],"060952":11,"060971":[],"060983":[],"0610":[],"061013":[],"061034":[],"06106228":18,"061068":11,"061078":11,"061084":[],"061092":[],"061138":[],"061163":27,"061186":11,"061239":[],"06124676":[],"06125720e":[],"061264":[],"061281":[],"0613":[],"061359":27,"06136355":27,"061443":27,"061452":27,"061484":[],"0615":[],"061614":27,"061642":[],"061679":[],"061747":[],"061775":[],"0618":[],"061813":[],"061826":[],"061833":[],"061836":[],"061869":[],"061888":[],"061915":[],"061938":11,"061977":[],"06199837":[],"06200174":5,"062016":27,"062023":[],"062071":[],"062082":[],"062082386342319454":6,"0621":[],"062100":[],"062221":[],"062250":[],"0622641":[],"062273":[],"062292565":4,"06231773":[],"062325":[],"062337":27,"062351":[],"062390":[],"0624":[],"062470":[],"062485":11,"062523":[],"062599":27,"0626":[],"062624":27,"062631":[],"06263415":[],"062675":[],"062696":[],"06270382e":[],"062749":[],"062768":11,"062797":[],"062852":[],"062874":27,"062894":[],"0629":[],"06294313":[],"062963":[],"062967":[],"06299237e":[],"063000":[],"063006":11,"06301519":[],"063019":27,"063051":[],"063055":[],"063061":27,"063076":11,"06307625":[],"063080":27,"063081":[],"06308305":26,"063159":[],"0632":[],"063225":[],"063260":27,"06331463":[],"063325":[],"063359":[],"063374":11,"063378":[],"063407":[],"063434":[],"06343533":[],"063436":[],"063443":[],"0635":[],"063500":[],"063533":11,"063542":[],"063597":[],"06361921":[],"06362348":[],"063653":27,"063705":[],"063716":[],"063722":[],"063723":[],"063724":[],"063747":[],"063760":[],"0638":[],"06380941468319971":[],"063822":[],"063832":[],"063864":[],"063894":27,"063905":[],"063912":[],"063927":[],"06394871":[],"063953":[],"06397412":[],"063980":[],"063982":[],"064000":11,"06404226":26,"06406913":[],"06407201":[],"064074":27,"0641":[],"064101":[],"064113":[],"06413187":[],"064134":[],"064145":[],"064224":11,"064245":[],"06424868":[],"064275":[],"064294":[],"0643":[],"064320":[],"064412":[],"064420":[],"06444":9,"064444":[],"064501":27,"064527":[],"064532":[],"06453579006728322":6,"064568":[],"0646":[],"064602":[],"064606":27,"064609":27,"064627":[],"064634":[],"064640":[],"064696":[],"064699":27,"064702":11,"064793":27,"06481015":[],"064814":[],"064827":[],"06484621":[],"064856":[],"064874":[],"06488406":[],"064896":[],"0649":[],"06491736":6,"064938":[],"064948":[],"064985":[],"064987":[],"065006":[],"065012":[],"06502562":[],"065026":[],"065045":11,"065069":[],"065077":27,"065089":[],"065119":[],"06511966":[],"065147":[],"065155":11,"065158":[],"065171":11,"0652":[],"065207":[],"065214":[],"065215":[],"065249":[],"0652633":[],"065289":[],"06532712":[],"0653477":[],"06535721144629267":[],"06535721144629268":[],"065378":27,"065390":27,"065396":5,"065410":27,"06547790180152352":6,"06547790180152355":6,"0655":[],"065517":[],"06554078":[],"065559":[],"065582":[],"065588":[],"065593":[],"065613":[],"065614":[],"065631":[],"065645":11,"065666":11,"065690":11,"065735":[],"065753":[],"06578047":[],"0658":[],"065801":[],"065808":[],"065815":[],"065872":[],"065909":11,"065910":[],"06594872":[],"065982":[],"065984":[],"066042":[],"066066":27,"066077":[],"0661":[],"066119":5,"066143":[],"06615863":[],"066200":[],"066323":[],"066344":[],"06637":9,"06638817":[],"0664":[],"06642248":[],"066438":[],"066453":[],"066467":[],"066474":27,"066500":27,"066564":11,"06656566":[],"066566":[],"066612":27,"066614":11,"066647":27,"06664867":[],"06666117":[],"0666807":2,"06668218":[],"06668613e":[],"0667":[],"066752":[],"066762":[],"066768":[],"066787":27,"066804":[],"06682268":[],"0668226833598415":[],"066837":[11,27],"066854":27,"066865":[],"066870":[],"066891":5,"066919":[],"06692165":[],"066944":11,"066992":[],"066999":27,"0670":[],"067009":[],"067042":11,"06713371":27,"067139":[],"067220":11,"06724062":5,"067272":[],"0673":[],"067315":[],"067328":[],"067388":11,"067409":[],"067419":[],"067420":[],"067433":11,"067437":[],"067440":[],"067457":[],"067462":[],"067591":[],"0676":[],"067611":[],"067619":[],"067630":[],"067637":27,"067659":11,"067660":[],"067707":27,"067709":5,"067745":[],"067748":[],"06776308367941637":11,"067765":[],"067769":[],"067774":[],"067820":[],"067826":[],"067832":[],"0678507":[],"067859":[],"0679":[],"067915":[],"067929":[],"067955":[],"067979":[],"068":[],"068017":11,"068019":11,"068082":[],"068083":[],"068141":[],"0681795":27,"0682":[],"068211":11,"068241":[],"06825695":[],"068257":[],"068264":27,"068307":27,"068340":[],"068364":11,"068378":11,"068403":[],"068406":[],"068407":[],"06842111e":[],"068437":[],"068439":[],"06843936":[],"068441":27,"06844519414009444":6,"06844519414009445":6,"0685":[],"06853772":[],"068551":[],"06855126e":[],"068568":5,"068606":[],"068609":[],"068612":[],"068624":[],"068629":27,"068650":[],"06866315":[],"068671":[],"068726":11,"068727":27,"068731":[],"068734":[],"068743":[],"0687531":[],"068757":[],"068771":[],"068774":[],"0688":[],"068800":[],"068809":[],"068815":[],"068816":[],"06886644":[],"068906":27,"068931":[],"068945":[],"068974":[],"068987":[],"06899505":[],"068997":[],"069028":27,"069033":[],"069048":[],"069055":[],"069084":11,"0691":[],"069119":[],"069136":[],"069148":11,"06915522":[],"069213":[],"069239":[],"069257":[],"069296":[],"06931309":[],"069320":[],"069327":[],"069365":[],"069384":[],"069388":[],"069391":[],"0694":[],"069452":27,"069456":[],"069475":[],"069522":[],"069570":[],"069584":27,"069594":[],"069595":[],"069629":[],"06962991":[],"069630":[],"069634":[],"069672":[],"0697":[],"069711":11,"069733":[],"069739":[],"069746":[],"069753":11,"069766":[],"069803":[],"069821":[],"069822":[],"069865":11,"069919":[],"069939":[],"06995653":[],"069968":11,"06it":[],"07":[6,27],"0700":[],"070009":[],"070042":[],"07004211":[],"070043":27,"070067":[],"070072":11,"070086":[],"070107":[],"070129":[],"070146":27,"07015414034641979":26,"070157":[],"07016":9,"07017":9,"070170":[],"07020234":[],"070213":27,"070220":[],"070228":[],"07023654656164897":[],"070275":[],"0703":[],"070338":[],"070370":11,"07038555":[],"07039":9,"070400":[],"070406":[],"0704374681593734":[],"070441":[],"070457":27,"070461":[],"070535":11,"070569":[],"070571":[],"070582":27,"070597":[],"07061848":27,"07062318":6,"070645":[],"07068033":[],"070694":[],"0707":[],"070705":[],"070737":27,"0707621":27,"070769":[],"070795":[],"07080407e":[],"070811":[],"070845":[],"070852":11,"070865":[],"070876":11,"070889":[11,27],"070964":[],"070986":27,"0710":[],"071008":[],"071062":[],"071080":[],"071138":[],"07115":9,"071160":11,"071191":[],"07119676":[],"0712":[],"07121097":[],"071252":[],"071258":[],"071274":5,"0713":[0,26],"07130734":[],"071323":[],"07136324":[],"07139233":[],"071423":[],"07145103":11,"071452":[],"071456":[],"071498":[],"071535":11,"071554":[],"071564":[],"071579":[],"071587":[],"0716":[],"07160048164232538":6,"0716004816423254":6,"071601":[],"071602":11,"071611":[],"071662":[],"071685":[],"071726":[],"071773":[],"07178264457746288":[],"07178725":[],"071788":[],"071792":[],"071801":[],"071805":[],"071854":5,"071857":11,"071872":[],"071879":[],"07188255":[],"0719":[],"071901":[],"071908":11,"071915":5,"071942":[],"071951":[],"071960":[],"07199977":[],"072000":27,"072009":[],"072022":[],"072034":5,"07203435":5,"07208896238192342":[],"072098":[],"072111":27,"07211696":26,"072128":[],"072132":27,"072140":11,"072168":[],"072194":[],"072200":5,"07225884":[],"07226292":[],"072285":[],"0723":[],"072305":[],"072310":[],"072338":[],"072369":[],"072404":[],"072410":[],"072470":5,"072476":27,"072478":5,"072483":[],"072486":[],"072495":[],"07250301":[],"072527":[],"072576":5,"072585":11,"0726":[],"072621":27,"072624":[],"072637":[],"072650":[],"072676":[],"072679":11,"072707":[],"072718":[],"072735":5,"072790":[],"072802":[],"072805":[],"07282462e":[],"072830":[],"07285":3,"07286416":[],"0729":[],"072914":[],"07291818479810824":[],"072931":[],"072948":5,"072953":[],"072954":5,"072967":[],"072971":11,"072973":[],"072976":[],"072990":[],"073008":[],"073011":[],"073059":[],"073063":[],"073079":[],"073080":[],"073088":[],"073113":5,"073131":[],"073141":11,"073152":[],"073154":[],"073184":[],"073187":[],"0732":[],"07321674":[],"073223":11,"073256":[],"07327275854723572":11,"073302":5,"07331468":[],"073354":[],"073362":[],"073376":[],"073378":[],"073387":[],"073406":[],"073417":5,"073421":[],"073422":[],"073425":11,"073431":[],"073444":[],"073445":[],"073458":[],"073465":[],"073471":[],"073476":[],"073494":[],"073498":[],"073504":[],"073541":[],"073582":[],"07358383":[],"073586":[],"073592":[],"073598":[11,27],"0736":[],"073618":[],"073621":5,"073630":[],"073634":[],"073635":[],"073640":[],"073644":27,"073706":11,"073708":[],"073712":[],"073716":[],"073720":[],"073728":[],"073734":[],"073736":[],"073766":[],"073773":5,"073797":[],"073802":[],"073810":[],"073824":[],"073828":11,"073840":[],"073842":[],"073853":[],"073858":[],"073871":5,"073876":[],"0739":[],"073929":[],"07393685":[],"07393855":[],"073972":[],"073980":[],"073984":[],"073987":[],"074008":[],"074010":[],"074026":[],"07404236":[],"074067":[11,27],"074084":27,"074096":[],"07410236e":[],"074108":[],"074128":11,"074152":[],"074161":[],"07417526":[],"074181":[],"0742":[],"07420079":[],"074201":[],"074210":27,"07421084":5,"074211":[],"074265":[],"074292":5,"074301":[],"074306":[],"074307":[],"074319":5,"074323":27,"074327":[],"074328":[],"074330":[],"074340":[],"074355":[],"07438088":[],"074403":[],"074411":11,"074419":[],"074425":11,"074428":5,"074439":[],"074455":[],"074457":[],"074477":[],"074509":[],"0745177":[],"074545":[],"074560":[],"07456491":5,"074577":[],"0746":[],"074686":[],"074708":[],"07472152457534222":[],"074772":[],"074780":[],"074809":[],"074826":11,"074879":[],"0749":[],"07490892":6,"074956":5,"074969":[],"074970":[],"075017":[],"075030":[],"075058":[],"075079":5,"075089":[],"075092":11,"075171":[],"0752":[],"075249":[],"075294":[],"075331":[],"075342":11,"075352":[],"075421":[],"075454":[],"075471":[],"075513":[],"075521":[],"075523":[],"075582":[],"075587":[],"075597":5,"0756":[],"07560398":[],"07563916":[],"075684":[],"075692":11,"07575375":0,"075758":[],"075779":[],"075804":[],"07581582":[],"075816":27,"075858":5,"075867":[],"075889":27,"0759":[],"075980":[],"075984":[],"075990":[],"076012":[],"076066":[],"076105":[],"076125":[],"076127":[],"076136":[],"076150":27,"07617146":[],"076249":[],"076266":[],"07627734":[],"0763":[],"076331":[],"076337":[],"076349":[],"076354":[],"076355":[],"076413":[],"07641937":[],"076427":5,"0764924":6,"076504":[],"076527":[],"076560707521647":[],"07656071":[],"076586":[],"076587":[],"076592":[],"0766":[],"07660514":[],"076612":[],"07663067400487368":[],"076636":5,"076658":[],"076662":[],"076678":[],"076697":5,"076721":[],"076734":11,"076756":11,"07678":9,"076786":5,"076814":[],"076820":[],"0768224464930487":[],"07682245":[],"076825":[],"076833":[],"076857":[],"076897":[],"07692307692307693":9,"076938":[11,27],"076950":[],"076993":11,"076996":[],"0770":[],"077004":5,"077017":[],"077042":[],"077068":[],"07706814":[],"077110":11,"077117":5,"077121":5,"077146":11,"077168":27,"077171":[],"077194":[],"077219":[],"077226":[],"07725229":26,"07728714":5,"0773":[],"077304":11,"077313":[],"077330":[],"077358":5,"077403":[],"077429":[],"077431":5,"077455":[],"077460":[5,27],"077466":5,"07747943":[],"077517":[],"07752620206774397":[],"077542":[],"077549":[],"077571":[],"0776":[],"07760032":[],"077613":[],"077630":[],"077650":[],"077705":[],"077710":[],"077731":[],"077734":[],"077756":[],"07777777777777778":[],"0778":[],"07780377":[],"077810":5,"077822":5,"077833":[],"07783419":23,"077847":[],"077920":5,"077931":[],"077938":5,"078":[],"0780":[],"078029":[],"078035":11,"078041":[],"07804489":[],"078106":[],"078110":27,"078139":5,"078154":11,"078187":[],"078196":5,"07820":9,"07824586e":[],"078258":[],"07828283":[],"078283":[],"078329":[],"078336":27,"078370":5,"078377":[],"078379":11,"0784":[],"078412":[],"078423":[],"07842458":[],"078425":11,"078433":5,"07844345":13,"078445":11,"078467":[],"078514":5,"078529":5,"078540":27,"078545":[],"078548":[],"078593":[],"07859555":[],"078624":[],"07864":9,"078656":[],"078667":11,"0787":[],"078707":[],"07871":9,"078732":[],"078744":11,"078791":5,"078845":[],"078868":[],"078974":27,"078981":5,"078986":27,"079026":5,"079067":5,"0791":[],"079121":[],"079124":[],"079125":[],"079150":[],"079156":11,"079165":[],"079170":[],"079202":[],"079223":5,"079226":[],"079243":[],"079255":[],"07929472":[],"07932386":[],"079330":[],"079353":[],"079381":[],"079391":[],"0794":[],"07942491":[],"079432":[],"079434":[],"079437":[],"07944154":[18,26],"079455":[],"079581":[],"079597":[],"079606":[],"079611":[],"07962234":[],"079640":5,"0796891867672603":6,"079700":[],"079715":[],"079731":[],"079741":5,"079775":5,"079777":[],"0798":[],"079820":[],"079836":[],"079849":[],"079854":[],"079878":[],"07988085572440823":[],"079882":[],"079892":[],"079914":[],"079946":27,"079948":[],"079958":[],"079964":[],"079969":[],"079971":[],"079975":[],"07it":[],"08":[6,9,23,27],"080045":[],"080069":[],"080086":[],"080089":[],"0801":[],"080105":[],"08015655":[],"080157":[],"080163":[],"080181":[],"080193":[],"080197":5,"080233":[],"080248":[],"080256":[],"080262":5,"080284":[],"08030109":[],"080322":[],"080383":11,"0804":[],"080406":[],"080411":[],"08043851":5,"080473":[],"0805":[],"080502":[],"080505":[],"080541":[],"080543":11,"080571":[],"080572":[],"08057264":[],"080577":[],"080607":[],"080616":27,"08066381":[],"080665":5,"080690":[],"080696":5,"080702":[],"080750":[],"080755":[],"080764":27,"08076969085177746":[],"080773":[],"080832":[],"080878":5,"0809":[],"080903":[],"080906":[],"080933":[],"080935":[],"080953":[],"080980":[],"081000":[],"08101799":[],"081057":[],"081120":[],"081126":[],"081133":5,"081136":[],"081150":[],"081164":[],"081199":5,"0812":[],"081246":[],"081276":27,"08128265":[],"08131003":6,"081322":[],"08145936":[],"081466":[],"081472":11,"0814985":[],"081538":[],"08156108":6,"081563":5,"081570":[],"081581":5,"081584":[],"08159052":[],"08159374":[],"0816":[],"081617":[],"081621":[],"081647":[],"08165104":27,"081655":27,"081677":[],"081679":[],"081680":5,"081718":[],"08174081":[],"081742":[],"081753":[],"081762":[],"081772":[],"081779":[],"081804":[],"081821":[],"081832":[],"08185019":[],"08185315":[],"08187418e":[],"081896":[],"081908":[],"08191117":[],"081916726599974":[],"081937":[],"081955":[],"081960":[],"08196262":23,"081976":[],"0819836":[],"0820":[],"082105":5,"082168":[],"082189":[],"082196":[],"082203":[],"082205":[],"08221578":[],"082225":[],"082231":[],"082234":[],"082246":[],"082248":[],"082255":[],"082260":[],"0823":[],"082306":[],"08231145":[],"082329":[],"082347":[],"082368":11,"08238863600759742":[],"082390":11,"08245909":[],"082506":[],"08251519":6,"082517":[],"08255129":[],"08256285":[],"082577":[],"082590":[],"082615":11,"082621":[],"082632":[],"082653":27,"082657":[],"0827":[],"08271388":[],"08272096":[],"082734":[],"082746":[],"082754":[],"082760":[],"082781":[],"082805":[],"08282867":[],"082829":[],"082875":[],"08293853":[],"08294341":[],"08298871e":[],"08299273e":6,"083000":[],"083015":[],"083066":[],"083096":[],"0831":[],"08318298e":1,"08319649":[],"083242":11,"083269":[],"083317":[],"08333333":[],"08333333333333333":9,"083348":5,"08336233266":4,"083371":[],"083393":[],"08339896":[],"083414":[],"083416":[],"083423":[],"08346766":[],"0835":[],"083511":[],"083527":27,"08352721390288316":[],"083604":[],"083628":5,"083630":[],"083636":5,"083669":[],"08368077":[],"083726":[],"083762":5,"08376632":[6,27],"083766322923899":[6,27],"0837663229239043":[6,27],"083777":5,"083797":5,"0838":[],"083848":[],"083853":[],"083873":5,"08388138":[],"08389064":[],"083894":5,"08394792":[],"083982":5,"083988":[],"084042":[],"084051":[],"084075":[],"084076":27,"084078":5,"084110":[],"084114":5,"084137":5,"084141":[],"084164":[],"08417181":[],"084172":[],"0842":[],"084207":[],"084212":[],"084247":[],"08426840630693412":6,"08426840630693413":6,"084278":[],"084340":[],"08434487":[],"084365":[],"084387":5,"084457":11,"084471":[],"084489":[],"08449894":[],"08451695":[],"084536":[],"08455":9,"084550":[],"08456295":[],"084594":[],"0846":[],"08460107110703337":5,"084617":[],"084631":11,"084633":[],"084644":[],"0846527":[],"084672":[],"084678":[],"08474":9,"084740":[],"084764":[],"084809":27,"08481871":[],"084843":[],"08484802e":[],"084878":[],"084946":[],"084968":[],"084995":[],"0850":[],"085023":[],"08502551":18,"08505008":[],"08511411":23,"085121":[],"08513055":13,"085163":5,"085172":[],"085223":[],"085235":[],"085251":[],"0853136633465326":[],"085374":5,"085382":[],"085390":[],"085391":[],"0854":[],"085425":[],"085427":[],"085454":[],"08551306":6,"08551338":[],"08551625":[],"085557":[],"085709":[],"085746":5,"08576932":6,"0858":[],"085815":11,"085835":[],"085842":[],"085858":[],"085877":[],"085888":[],"085898":[],"085908":[],"085918":11,"08593216":6,"08604699":[],"086054":[],"086090":[],"0861":[],"086108":[],"08611111111111111":[],"086172":[],"086291":5,"086337":[],"086394":[],"08641073":[],"086411":[],"086441":[],"0865":[],"086511":11,"086518":[],"08652153831327969":[],"0865305":23,"086540":[],"086636":[],"086762":5,"086773":[],"086774":[],"086830":[],"086843":[],"086864":[],"086868":[],"086891":[],"086892":5,"0869":[],"08690":9,"086900":[],"08692465":[],"086932":[],"08695635":[],"08703034":[],"08704102":26,"087062":[],"087063":[],"087159":[],"087175":[],"087180":[],"087184":[],"087211":[],"087212":[],"087247":[],"087250":[],"087254":[],"087259":5,"087271":[],"087280":[],"08728068":[],"0873":[],"087311":[],"08737007811453563":[],"087393":[],"08756397":26,"087566":5,"08758":9,"087603":[],"087642":[],"08766472":23,"087674":[],"0877":[],"08770809":[],"087716":11,"0877162":11,"087761":[],"08776426":[],"087768":5,"08780195":[],"087802":[],"087845":[],"087887":[],"087899":[],"088007":[],"0881":[],"088155":[],"08815506":[],"088156":5,"08817972":[],"0881981":5,"088202":[],"08822806":18,"08823":20,"088240":[],"088314":[],"088323":5,"088339":[],"088369":5,"08838465":13,"088410":5,"088416":[],"08842405":[],"08844723450419088":[],"088456":[],"0885":[],"088510":[],"088521":[],"088563":[],"088665":[],"088697":[],"08871404":5,"08874631":[],"08876865":[],"08881497884574564":27,"08888888888888889":[],"0889":[],"088900":[],"089008":[],"08902":9,"0892144853354966":[],"089227":[],"08928088":[],"0893":[],"089356":5,"089365":[],"089414":[],"089513":[],"089523":[],"0895387":27,"089539":27,"089664":[],"089678":[],"0897":[],"089710":[],"08973767":[],"089752":[],"089781":[],"089793":[],"0898612":18,"08988514":[],"089893":5,"08990571":[],"08992459":[],"089925":[],"08996":9,"089979":[],"09":[1,3,4,27],"09002808747938586":26,"090091":5,"0901":[],"090123":[],"090301":11,"09030678":[],"090313":11,"090361":[],"090365":[],"0905":[],"090537":5,"09076319":[],"090777":[],"090832":[],"09087594":18,"090919":[],"090945":[],"0910":[],"091021":[],"091023":[],"091072":[],"091090":[],"091293":[],"091372":[],"0914":[],"09149148":[],"091571":[],"09166666666666666":[],"091685":[],"091697":5,"0917":9,"091714":[],"09172409":6,"09173024":[],"091796":[],"09179697e":[],"0918":[],"091913":[],"092":[],"09201618":27,"092051":11,"0921503":[],"09215268":[],"09215672":[],"0922":[],"092206":[],"092254":[],"092327":5,"092412":[],"092450":[],"092452":[],"092487":[],"092493":[],"09251":9,"092516":[],"092560":[],"092566":[],"092598":5,"0926":[],"092852":[],"093":[],"0930":[],"093080":[],"09308274":[],"093096":11,"09312344":[],"093218":[],"09327269724691106":[],"0933":[],"09336399":[],"093386":5,"093408":[],"0934955":[],"0935":[],"093551":[],"093559":[],"093570":[],"093657":[],"09375511":18,"093866":[],"0939":[],"09391542":[],"093993":[],"093996":[],"094001":[],"094026":5,"094050":[],"09408163":[],"094082198961999e":6,"0940821989652176e":6,"094163":[],"094206":[],"0943":[],"0944":[],"09444444444444444":[],"0944958":[],"09455047":[],"09477998":26,"0948":[],"094993":5,"0952":[],"09524714":[],"09527217":[],"095273":[],"0954":[],"095420":[],"095528":[],"095596":[],"0956":[],"095624":[],"09567992":[],"09575469":[],"0958":[],"095821":[],"09599224":[],"09603196":[],"09607524":[],"09609807":5,"0961":[],"0963911829588757":[],"096434":[],"09648484":[],"0965":[],"09676156e":[],"096788":11,"0969":[],"097049":[],"09706624":[],"09712586e":[],"09712817":18,"0972":[],"097238":[],"09726322":[],"097294":[],"0973":[],"09739722453284225":23,"0974":[],"09744":9,"09760094":[],"0978":[],"09780":9,"09787053":[],"09791":9,"09797549e":[],"097995":[],"0983":[],"09832963":[],"09851217":[],"09858511":[],"09861229":[18,26],"0987":[],"098879":[],"09899913":[],"09903804":8,"09917246":[],"09919198949274803":6,"0992":[],"099209":[],"09920915":[],"099275":[],"0994119523801045":[],"09951287404314545":1,"099552":[],"0996":[],"099701":[],"09978307":[],"0998713":[],"09995364":[],"0n":[0,26],"0s":[3,4],"0x1022cc0d0":[],"0x1045a7eb0":[],"0x105b84cd0":[],"0x107a08b50":[],"0x10febc640":[],"0x10febcf10":[],"0x1162c32b0":[],"0x1183f2640":[],"0x118c9b1c0":[],"0x118f6d610":[],"0x1194ee790":[],"0x11ada9670":[],"0x11cb23a60":[],"0x11cb23fd0":[],"0x11de12520":[],"0x11df37280":[],"0x11f5f6520":[],"0x11fdbfd60":[],"0x122d2e790":[],"0x12334c310":[],"0x12463a760":13,"0x1262b9a90":[],"0x126323b50":[],"0x1268ba940":[],"0x126f4fa00":[],"0x126f922b0":[],"0x127461970":13,"0x127a38670":[],"0x127e425e0":[],"0x128cc9730":[],"0x128f6eee0":[],"0x129deef10":[],"0x12b1c2700":[],"0x12e9e6280":[],"0x13002a640":[],"0x1305bb1c0":[],"0x136af27c0":[],"0x13792dfa0":[],"0x13d4a1640":[],"0x13eaa7490":[],"0x13ef4e1c0":[],"0x156346610":[],"0x1635f5340":[],"0x1646da640":[],"0x168435640":[],"0x168f3fca0":[],"0x16c9a8880":[],"0x2800bca90":[],"0x280a35220":[],"0x2810f3430":[],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,21,22,23,24,25],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,21,22,23,24,26,27],"100":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,21,23,24,26,27],"1000":[0,1,2,4,5,8,11,13,14,17,23,26,27],"10000":[2,5,6,10,11,13,23],"100000":8,"10001":10,"10005449":26,"1001":[9,23],"1002":23,"1003":23,"10030":9,"10031273":13,"10035098":[],"100351":[],"10041841":[],"1005":23,"1007":[],"1007216":[],"10077114273548984":6,"10080981":[],"1009":23,"10095106250934528":[],"101":[],"101058":[],"1011":23,"10120164":[],"1013":23,"1013904243":23,"101409":[],"10141413e":6,"1015":23,"10154612":[],"10156593":[],"1015am":26,"1016":[],"10160394":[],"10188623":[],"102":3,"1020":[],"1023":23,"10230":9,"1024":3,"10247463629935179":[],"10251317e":[],"10258872":23,"1026":23,"10268273":[],"1027":23,"1028":[],"103":1,"1030":23,"10320791":[],"103273":[],"10340":9,"10354083919795562":[],"103558":11,"10355817":11,"1036131":[],"103654":[],"1036544":[],"1037":23,"10378326e":1,"1038":23,"10391807":6,"10398646080125036":6,"10398646080125037":6,"10399743":[],"10399758":[],"104":[],"1040":23,"10401756":[],"10405456":11,"10426473":[],"10430":9,"1044":[],"10440776":[],"104411":27,"10455569":[],"1047":23,"10477501":[],"10479359":[],"10490195":[],"105":[],"10518426027535331":[],"10520":9,"10552836390308734":[],"10555555555555556":[],"1056":[],"10572":[],"10582403e":[],"10587157250737213":[],"10589577":5,"106":[],"1060":[],"106095":[11,27],"10615323e":[],"10638925":[],"1063892533225306":[],"10641647":[],"106431":[],"10645534":[],"10656534":[],"10683216":[],"107":[],"10706523":[],"10731958e":[],"10741066e":[],"10776220958055382":[],"1078":[],"10790125813226321":27,"108":[6,9],"10812381":[],"108124":[],"10814421":[],"10815559091341771":[],"10851799e":[],"10856388":18,"10888134":[],"1089452":[],"109":[],"10913":6,"10927588":[],"109276":[],"10931453":6,"10942838":[],"10954867e":[],"109556":[],"10955639":[],"1095957":[],"10959669":[],"10960":9,"10983954":[],"10e":[],"10m":4,"10th":9,"10x":[0,26],"11":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,18,19,22,23,24,25,26,27],"110":[],"1100":23,"11007935789924998":[],"1101":23,"11022302e":5,"11022363":[],"11027723":[],"11039573e":[],"11053892":[],"11078018494378859":[],"111":[1,7,12],"11100":9,"11105306":[],"11110246":[],"11112589053037751":[],"11137061e":[],"11141718":18,"11148997":18,"1115":[],"11166818":[],"11197884":[],"112":[],"11202337":[],"1123":[],"11232098":[],"112383":[11,27],"1124":9,"11265847":[],"113":[],"11309850e":[],"11339075":[],"1134":[],"11352187":[],"1136198":[],"11385399":[],"11388888888888889":[],"11390":9,"113e3eff54a8":[],"114":[],"11400145":[],"1141":[],"11427818":[],"11450263":[],"114550":[],"11462415":5,"1148":[],"11482289e":6,"1148557":[],"114856":[],"11495144":[],"115":[],"11507992e":1,"11547777218876518":6,"1157376":27,"115822":6,"11587186":[],"11590":9,"116":[],"1160326":[],"11628185e":[],"11655508":[],"11657689":[],"11660":9,"11666666666666667":1,"117":8,"11704038":[],"117214":11,"11721416":11,"117430":[],"11743722141098414":[],"11744554e":6,"117456":[],"11749517":[],"11766707e":[],"11780":9,"118":2,"11816312":[],"1182":[],"118318":27,"11836068":[],"11837308":[],"11837671":[],"1184":4,"11840":9,"11890":9,"11896755":[],"119":2,"11911824":[],"11924676":[],"11925465":[],"11958697e":[],"119936":2,"11m":[],"12":[0,1,2,3,4,5,6,8,9,11,12,13,18,23,25,26,27],"120":[2,3],"12011393e":[],"12023635e":[],"1203":9,"1203284":8,"12044974":27,"120450":27,"12049203":[],"12049349":26,"120508":[],"12050822":[],"1206":8,"121":[8,9,10],"12129289":[],"1213":[],"12155548":[],"1215pm":[24,26],"121771":26,"1217953":[],"12182967":6,"122":[2,8,9,10],"12222222222222222":1,"12224317":[],"122282":[],"1224":[],"1228485":18,"123":2,"12318726e":6,"12330033":27,"12333649":6,"123711":6,"12380":9,"12381425":[],"124":[0,26],"12400":9,"12417157":[],"12422141":[],"12427537":[],"12428533":[],"124413":[],"12441319":[],"125":[],"1250":[],"12506251":[],"125304962667421":[],"12552073e":6,"12568438":[],"12575322":[],"12591227":27,"12594172":[],"126":9,"12602928e":[],"1261":9,"12618549":5,"12622478":[],"12625715":[],"12634093":[],"1265":9,"12693357":[],"12695501":[],"127":4,"1271":6,"12747234e":[],"12765651865754318":[],"1277":6,"12777777777777777":[],"127812":[],"12786653":[],"12790":9,"128":[3,4,13],"12814914":[],"1285896350792584":[],"12858964":[],"12864187e":[],"128664":6,"12867125":[],"128711548693024":11,"12871842":27,"128x128":[],"129":2,"12911793":[],"12921833":[],"1297":9,"1298":9,"12994608":[],"129963":[],"12998822":[],"12m":[],"12pm":[24,26],"13":[0,1,2,4,5,6,9,11,12,13,18,20,21,23,26,27],"130":9,"13003291":6,"13010854":[],"13021533e":[],"13041":[],"13055555555555556":[],"130694":27,"13069442":27,"13076331":[],"131":9,"13155259":[],"132":9,"13201296":[],"13220608e":6,"1326":9,"13261905":[],"1326197715":26,"13280":9,"133":7,"13310008":[],"13314468":[],"13333333":[],"1336":[],"13371503":[],"134":[],"13404683":[],"13410999":[],"134110":[],"13422946e":[],"1343":[],"13443663368799186":18,"13444436":[],"1345":[],"13451895":[],"134565":[],"1346":[],"13492339":[],"135":9,"13535942":6,"13542726":[],"13571683":[],"13580759":[],"136":[],"13621148":[],"136236":[],"13646574":5,"13661243e":6,"13679863":6,"137":[],"1371":6,"13740":9,"137400784702911":[],"13747168":[],"13749148e":[],"13756504":[],"13759245e":[],"137652":[11,27],"1377":[3,4],"1378":[3,4],"1379":[3,4],"138":[],"1380":[3,4],"1381":[3,4],"1382":[3,4],"13821034":[],"13827006":[],"13829298":[],"1383":[3,4],"1383885":[],"1384":[3,4],"1385":[3,4],"1386":[3,4],"13865173":5,"138775":[11,27],"1387933":[],"13880371":[],"1388888888888889":[],"1388976715362099":[],"13890":9,"13894606338836166":[],"139":[],"1392559585048734e":6,"139255958997547e":6,"13925918083728273":[],"139431112903922":[],"1394311129039245":[],"1395084586525954":[],"1395235273363669":[],"13987729":[],"13990198":18,"13m":[],"14":[0,2,3,4,5,6,8,9,10,11,12,13,18,23,25,27],"140":[2,9],"14021063":6,"14023656":[],"14036907":[],"141":2,"14100":9,"1412":[],"14133772":[],"141338":[],"1416054":[],"1416398":6,"14174745":6,"14179769":[],"1418":9,"142":9,"14250":9,"14277718e":27,"143":[2,7,9],"1437":1,"1438149":[],"14389839":[],"144":[],"14400":9,"1440501043841336":1,"14421971":[],"14440":9,"14465971":26,"1446729567":4,"14479759":18,"14482255345953607":[],"144993":[],"145":2,"14526269":[],"14538257":[],"14549142":[],"146":2,"14600426":[],"14629156":[],"146591":[],"146704":[],"14670413":[],"14697721":[],"147":[],"14702929":[],"14710":9,"14722222222222223":1,"1473833":[],"147400":[11,27],"147420":[11,27],"147896":[],"1479":9,"148":[3,4],"148009":[],"14812206":6,"14816084":5,"148161":5,"14837948":[],"14839786":[],"14845":[],"14857":[],"14859":6,"148632":[],"148711":6,"14871402":[],"14889678":26,"14896753":[],"149":[3,4],"149294":[],"149299":[],"14957387e":[],"14962649":[],"14967691":[],"14978631":[],"14g":6,"14m":[],"15":[0,1,2,4,6,7,8,9,12,13,15,16,23,26],"150":[3,4,8,9],"15005476":5,"150218":[],"15024162":[],"15043":[],"15047127":[],"15048894":[],"15055258":[],"150592":6,"150726":[],"150749":[],"15098090e":6,"150989":[],"151":[3,4],"15119514":[],"1511986":[],"151199":[],"15124893":26,"15130074e":6,"1513237":[],"15148810e":[],"151515":[],"151517":[],"15169011":18,"15183857":[],"152":[3,4,9],"15200":9,"1520039":[],"152701":[],"1527777777777778":[],"153":[],"15301931e":[],"153036":27,"15313054":[],"1532465":[],"15352815e":[],"15383855":[],"15384615384615385":9,"154":[],"15400455":[],"15431083":[],"15443469e":[],"15449587":[],"15457792":[],"155":9,"155073":6,"15536966":26,"15553403":[],"155664":[],"15578306":[],"15593134e":[],"15597277":[],"156":[],"1560":[],"15628391e":[],"1563":[],"15649598":[],"15654521":[],"15673992":[],"15693449e":[],"156956":5,"15697121e":[],"157":[],"15706394e":[],"15724663":[],"1575":9,"15768662":[],"158":9,"15804451e":[],"15806326":[],"15827078":[],"15863713":[],"1587":9,"159":[],"1590":9,"15912833":[],"15913825":[],"15953495":[],"15957051":[],"15962297":[],"15972118":[],"15975618":[],"15990":9,"15990395":[],"15am":26,"15g":6,"15m":[],"15pm":[],"16":[1,2,3,4,5,6,8,9,10,23,26,27],"160":[],"1600552":[],"16022138":[],"1603":3,"16043757":[],"1608179281668718":[],"16081793":[],"16082975":18,"16087734":[],"16089488":[],"160913":[],"161":[],"16111111111111112":1,"161573669199933":[],"16168603e":[],"16168848":[],"1619":[],"162":[],"16211139":5,"16220":9,"162246":5,"16231451":4,"1625":9,"1628":9,"162999":[],"163":[],"16304863":27,"163049":27,"1630775253":[],"16309331":[],"16325134":[],"16336815":[],"16342407":5,"16343471":6,"16356503":[],"16365729":18,"16384":3,"16385836":[],"16389131":[],"164":[],"16422434":[],"16456084":[],"164812":[],"16481217":[],"16487517":[],"16492688":[],"165":[],"16500":9,"16509204":26,"16521791":[],"16539406e":[],"16570701":[],"166":9,"16650509":[],"16655769":26,"16666667":[],"167":[],"16725475":[],"16761991":[],"16762223e":[],"167787":5,"168":9,"16805821e":6,"16815626":[],"16816701":[],"169":[],"1690242":[],"16921883":[],"169219":[],"16933554":[],"16954396e":[],"16it":[],"17":[1,2,4,5,6,8,9,23,27],"170":[],"17006020e":[],"17016741":[],"17022089147584388":[],"17078905":[],"17086577":[],"1709":9,"171":[],"17121077":[],"17136288":[],"17138811":[],"17144765665252978":[],"171525":27,"1715252":27,"17174962e":1,"172":[],"17222222222222222":[],"1724601":[],"17257288":[],"1726":9,"17275391":[],"173":[],"17300":9,"17303133e":[],"17305512":[],"173087120899479":11,"1731":9,"17346628":26,"17350714":23,"17362603":[],"174":[],"17432695":[],"174327":[],"17440757e":[],"17446471":6,"17451":[],"17456211":[],"17459712":[],"17469167":[],"174692":[],"175":[],"1752":9,"175300":27,"17540272":[],"176":[],"17603044":[],"17604689":[],"17615838052499":[],"17622984":26,"17641709":6,"17644873":[],"17647619":6,"17648722":[],"177":[],"17707259":26,"17733642":[],"17736035":[],"17757752":[],"17758251":[],"17777777777777778":1,"178":[],"17801022":5,"17829104":[],"17841553":[],"17861098":6,"17886788e":[],"179":[],"1790289":[],"17917768":5,"17927079":[],"17934657e":[],"179404":[],"17949575":5,"17953942":11,"17964265":[],"1797":[1,3],"17m":[],"18":[2,4,6,7,8,9,10,13,23],"180":[],"18023984e":[],"18029127":5,"1803":20,"18044829":[],"1804736801658276":[],"18065292":[],"18065689e":[],"1807":4,"1809":9,"181":9,"1812":9,"18128852":[],"18188532":[],"182":[],"1821":9,"18243276e":[],"18269964":[],"18276764":[],"183":[],"18302441":[],"18303628e":[],"18314387":[],"18321314e":[],"18324395":[],"18333333333333332":[],"1836":[],"18375572":[],"18383522":27,"184":9,"18409473e":[],"18410452":[],"18433544":[],"184519":27,"18474816e":[],"1848":[],"18488944":[],"18489312":[],"1849":[3,4],"18496":[],"185":[],"1850":[3,4],"18500705":[],"1851":[3,4],"18518557":[],"1852":[3,4],"18525109":[],"1853":[3,4],"18534538":18,"1854":[3,4],"1855":[3,4],"1856":[3,4],"1857":[3,4],"185713":[],"18571316":[],"18573920e":[],"1858":[3,4],"1859":[3,4],"1859082":[],"186":6,"1860":9,"18604968":[],"18611111111111112":[],"18613217e":6,"1862":[],"18624242":[],"18660":9,"18663019":23,"18670072e":27,"18673098":11,"187":[],"1871257":[],"18726877":[],"1875353":[],"18753987":[],"187540":[],"18761375":[],"18780801":[],"188":[],"188029":11,"18802913":11,"18807824e":[],"18824315":[],"18829946":[],"18856622":[],"1887":6,"189":6,"18905573e":[],"189367":[],"189496":27,"189621963782685":[],"189622":27,"18993003":[],"19":[2,4,6,9,13,15,23,26],"190":[],"19003":6,"19010909":[],"19026272":[],"19029687":[],"19073291":[],"191":[],"19114964":[],"19123037":[],"19154013e":[],"19166136":[],"19166666666666668":[],"191963":[],"192":[],"19207979":5,"1921649":[],"19220":9,"193":[],"19314584":[],"19335893":[],"19343949":[],"19347197":23,"1937079":[],"19393543":[],"194":[],"1940":0,"194042826649355e":6,"1940428268204826e":6,"19407473":[],"19426595":[],"19429581":[],"1943":12,"19431161":[],"194312":[],"19436962e":[],"19457423":[],"1946":[],"19461919e":[],"19463967":[],"194861702085775":[],"195":[],"1950":[],"1956":9,"19569961":[6,27],"19571155":[],"19590868":[],"196":[],"19623863e":[],"19652884e":[],"19683648":[],"197":[],"1970":[18,26],"19717411":[],"19718893":[],"19721923":[],"1973":9,"197370":[11,27],"19740":9,"19743643":[],"19769458e":[],"1977":[],"19772911":[],"1978":[],"19783086":[],"1979":6,"19790229":[],"198":[],"19800":9,"19802685":[],"19824029":[],"19825288e":[],"19870992":[],"19888258":[],"199":[],"19910208":[],"19942021":[],"19968537":[],"1997":[],"19983530":6,"1999":[20,21],"19it":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,23,26],"1d":[1,2,3],"1e":[1,2,3,4,13,14],"1e10":14,"1e4":6,"1f":1,"1k":18,"1n":[0,26],"1s":[3,4],"1x":[0,26],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,21,22,23,25],"20":[0,1,2,4,6,7,8,9,13,23,24,26],"200":[0,2,3,4,8,9,10],"2000":[0,27],"20015436":6,"20017452":[],"20020918e":[],"2004":13,"2006":25,"2008":26,"2009":[],"201":[],"2010":1,"20101684":[],"2011":1,"2014":4,"20142361":[],"2015":1,"2016":[0,26],"2017":[],"2018":[0,6,27],"2019":[8,9],"202":[],"2021":[6,14,27],"2022":26,"2023":[3,4,20],"2024":[15,16,26,27],"20240089":[],"20261698e":[],"20265997":[],"2027":9,"20272874":[],"20277777777777778":1,"20289224":[],"203":[],"20355156":[],"20366091":[],"20371418":[],"204":[],"20404676":[],"20430356":[],"20484434":[],"20485165":[],"204932":[],"20493234":[],"20494446":[],"205":[],"20500":9,"20513942":[],"205231":[],"20525241":[],"20536556":[],"20554718e":[],"20580025":[],"20594513":[],"206":[],"2060":9,"2069":9,"20695722":[],"207":[],"2070":[],"20716469":[],"20726939":[],"2073339":[],"20752401":[],"207545":[11,27],"20759186":11,"207592":11,"20764972":[],"207888":[],"208":[],"208190393562401":[],"20820528e":[],"208257931205295e":9,"20833333333333334":1,"20867052175003364":6,"209":[],"20916295":27,"20944931":26,"20946226e":[],"20956318":[],"20967833":[],"20975255":26,"209789":[],"20980":9,"20m":[],"21":[0,1,2,3,4,5,6,7,9,12,13,18,23,26,27],"210":[],"210340":[11,27],"21049575":[],"210496":[],"21053692":[],"21055226":[],"21058097":5,"21059098":[],"21074205":[],"211":[],"2110":[],"21110005":[],"21129518e":[],"21130":9,"21152452":[],"2116753732":4,"21169159e":6,"212":[],"21237677e":[],"21275991":[],"213":[],"213103":[11,27],"213743":[11,27],"214":[],"21401303e":[],"2141":[],"2144122":13,"21460652":[],"214607":[],"21467941":[],"21489709":[],"21493779":[],"215":[],"21522960e":[],"21530495e":[],"21546249":[],"21596432":6,"21597684":[],"215977":[],"216":[],"2161908":[],"216290":[11,27],"216683":[11,27],"2167":[],"21682143":[],"217":[],"21706540e":[],"21710121":[],"2171263":[],"217282":11,"21728232":11,"21747116506516934":[],"21760199":[],"21793896":23,"218":[],"218292":11,"21829201":11,"21831419":11,"2184":[],"21860973":[],"21879159":[],"2188":3,"219":[],"21908927":13,"21910072":[],"21913628":[],"2193546":[],"21947455":[],"22":[0,1,2,4,5,6,9,12,13,18,26,27],"220":[],"22001043":[],"22015945":18,"22044605e":[5,27],"22091393e":[],"22092934e":[],"221":8,"22103874e":[],"221180":27,"22130126":[],"22144968":11,"221450":11,"2216":9,"22169909":[],"22178183":27,"2218":9,"221805":2,"221921":5,"22197349":[],"222":[],"22209775e":[],"22227163e":[],"222400":27,"22241171":[],"22291364":[],"22297358":[],"22297752":[],"223":[],"22328509":[],"22354860e":[],"22368396":[],"223884":[],"22388434":[],"224":[],"22416937":[],"22467274":[],"22475203":[],"225":4,"22524684":[],"22532324":[],"22574374":[],"2257879":[],"226":[],"22616902":[],"22623101e":[],"226296567359957":[],"2266005204464925":26,"22663583":[],"22679825":[],"22689573":[],"22690428":5,"227":[],"22729927":[],"22752605":[],"2277":3,"228":[],"228059":[],"22805937":[],"22812848":18,"22830615":[],"2284246870217162":6,"22847924":5,"22885848":[],"228942":[],"229":[],"229241":[],"22928063":26,"22935165":[],"229352":[],"22939767":18,"22974406":[],"22979294e":[],"22981877":26,"22996417":[],"23":[1,2,4,6,7,9,12,13,15,18,26],"230":[],"23002365e":6,"23031634":[],"23044077":[],"23047985":[],"23076923076923078":9,"23077531":[],"231":[],"23110543":[],"2314999":[],"23167717":5,"23177548":[],"23192074e":[],"232":[],"232435":27,"23257415":[],"2326112614636416":[],"2326112623420511":[],"23261268155176382":[],"23288045":[],"233":[],"23305112":[],"23333333333333334":[],"23374497":18,"2338675":27,"233868":27,"23392132":[],"23395094":[],"23396766e":[],"234":6,"234370":[],"23437046":[],"23499198":[],"235":[],"23516186":[],"23528337":[],"2356299":[],"2361161":[],"236354":26,"23636536":[],"2364":9,"23643365":[],"23692158":[],"237":[],"23712617":[],"23754723":[],"23780865":[],"2379":6,"238":[],"23849741":[],"2389":3,"239":3,"23908241":18,"2397":9,"23971032":27,"23979359":[],"23997187":[],"24":[0,1,2,4,6,9,13,18,26],"240":[],"24005098e":[],"24053124e":[],"24085321":[],"241":[],"24128917":[],"24140":9,"24159785":27,"2416":9,"24175744e":6,"2419":9,"242":[],"24251681":[],"24252405":[],"24280599":[],"242806":[],"243":[],"2430":9,"24339513":[],"2436295":23,"24390":9,"244":[],"244119":[],"24411906":[],"24434901e":[],"24444444444444444":[],"24485338":23,"245":[],"24569547":[],"246":2,"24602503e":[],"24605947":[],"24647622":[],"2465439":[],"24679418":[],"247":[],"24785221":[],"24797183e":[],"248":[],"24809277":[],"24828523":[],"24829908":5,"24849282":[],"248493":[],"249":[],"24906604e":6,"24960675":[],"24968001e":[],"24it":6,"25":[2,3,4,5,6,7,8,9,11,13,19,27],"250":[2,4,7,9],"25000":0,"25002882":[],"250029":[],"25018275":[],"25042813e":[],"25050227":[],"250636":[],"25077762":[],"25084316":[],"25091007":[],"251":[],"25139357":[],"251879":27,"252":[],"2522939":[],"252436":27,"25254477e":[],"25285802":[],"253":[],"25312591":18,"254":[],"25404247":23,"2544422":[],"2545724":[],"255":3,"255001":27,"25549693":[],"25561567":[],"256":[2,4],"25617654e":6,"25617658e":6,"25650679":[],"25663096":[],"256841168348422":18,"257":[],"257004":[],"25700419":[],"25713219e":[],"2572":9,"2575":9,"25772788":[],"25794223e":[],"258":[],"25844504":[],"25872167e":[],"25898624":[],"259":[],"259153":[11,27],"2591811":[],"25920793":[],"25923926":[],"2597":9,"259901":[],"25it":[],"25m":[],"26":[2,4,6,9,13,16],"260":[],"26037366":[],"26063304":[],"260840":[],"26084008":[],"261":[],"26113838e":[],"26121775e":[],"261498":[],"26149831":[],"2619":[],"262":[],"262638":[],"26263837":[],"26280707e":[],"26291451":[],"26292364":[],"26297455":27,"263":[],"26301436":5,"26318493":[],"26331821e":[],"26370919":[],"26372759":[],"264":4,"26403986587386163":18,"26409315307910025":6,"2640931530791004":6,"2641":[],"264377":[],"26437713":[],"264421":[],"265":[],"2650":9,"265109911":4,"26513904":[],"26514544":[],"26518597":[],"2654":9,"266":[],"26660718e":[],"26666667":13,"26697059":[],"267":[],"26710969":5,"26776828":[],"26780278":5,"26799966":26,"268":9,"26803966":[],"26805987":[],"269217029290255":[],"26931499":[],"26939493":26,"26944417":[],"26961519":[],"2697447":[],"26995402":27,"26it":[],"27":[0,1,2,4,6,13],"270":[],"2700575":[],"27068495e":[],"2707158":[],"27092910":6,"27096183":[],"27099835":[],"271":[],"2710765113417533":[],"2710867359084896":[],"2711004934923823":[],"2711099029541577":[],"2714":[],"27151245":13,"27152452":[],"2717818":[],"272":[],"27204759":[],"27221341":[],"27230624e":[],"27252371":[],"273":[],"27305669":[],"273094":[],"27309401":[],"2731899981798276":[],"27335131":[],"27347181":[],"2736":[],"27377363":[],"27424746e":[],"27438488":[],"27463692":[],"27485633":[],"275":[],"2750":9,"27547557":[],"2756303":13,"276":[],"276263":[11,27],"27637358":[],"27650047":27,"27650338":[],"27693602e":[],"277":[],"27700":9,"27700271":[],"27717261":[],"27743488e":[],"2774877574815404":[],"27760":9,"27790702":[],"27793476":[],"277935":[],"278":[],"27826845e":[],"27832584e":[],"27853155":26,"27859357":[],"27880068":[],"279":[],"27911941":26,"27919014":[],"27924636":5,"27971414":[],"27987128":[],"27n_":23,"28":[0,1,2,3,4,6,9,13],"280":[],"28008933":[],"280179":[],"28031381":[],"280573":5,"280647":[11,27],"28081221e":[],"28096517":[],"281":[],"281127658556346":23,"28112766":23,"28134042":[],"281930":[],"28194659":[],"28194794":[],"282":[],"28205578e":27,"28206156":[],"28210895":[],"28212616":26,"2822017":26,"282259":[],"282727":[11,27],"28291282":[],"28294305":[],"283":[],"2830637392":4,"283078":[],"28336218e":6,"28347954e":[],"2837521e":[],"28390":9,"28391978":27,"284":[],"28418209":[],"28433473":[],"28443039":[],"284499":[],"28473779e":[],"28475098":8,"28478815":18,"28490569":[],"285":[],"28535441":[],"28566769":[],"2856881":[],"28570701":[],"28573357":[],"28585116":[],"28595266e":[],"28596284":[],"286":[],"28607817":[],"2861":23,"28621796e":[],"28622606":[],"28624958":[],"28638913":[],"28641189":[],"28662669":[],"287":[],"2870363":[],"2871":9,"2873":9,"2874496":18,"28767964":[],"28795864":[],"288":[],"28818554":[],"288186":[],"2882":23,"28837459":[],"28857501":26,"28858038":[],"2886":23,"289":[],"2890":[0,26],"28908491":[],"28909679e":[],"289105":5,"28910504":5,"2892":23,"28951491799791806":[],"28962017":[],"28962869031035515":[],"28962877060331055":[],"2896287710119233":[],"28it":[],"28x28":[],"29":[2,4,6,7,9],"29009852":[],"2901":[],"29022057":[],"29025302":[],"29030069":[],"29064873e":[],"29069448":23,"29097377":[],"291":[],"29135778":[],"291358":[],"2915":23,"29153991":[],"29167186":5,"29174301":[],"29199381":[],"292":[],"292202":[],"29220202":[],"29228133":[],"29259268":[],"2927":[],"29275129":[],"29282684":[],"293":[],"2931":26,"293245":[],"29341942":23,"29350903":[],"29374695":[],"29378469":[],"29384004e":[],"294":[],"29401213":[],"29405153":[],"2941718e":[],"29426584":[],"29432269":26,"29454955e":[],"29496954e":[],"295":[],"2953":[3,4],"2954":[3,4],"2955":[3,4],"2956":[3,4],"2957":[3,4],"29588674":[],"29592687":[],"296":[],"29633889":[],"296414":[],"29679459":[],"2968":26,"2970942":[],"29726695":[],"29731502":[],"29732036":[],"29734306":[],"29765192":[],"298":[],"2980":26,"29822833":6,"29866668":[],"298667":[],"29894362":[],"299":[],"2990":26,"29918458":13,"29933720e":[],"2996":[],"299748":27,"2999692169766251":[],"2999692370478538":[],"2999728846145681":[],"2999728858924457":[],"29998782047173667":[],"29998783056606604":[],"29it":[],"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,23],"2_t":13,"2_x":23,"2b":23,"2c8f433990d1":[],"2cm":8,"2d":[1,3,11,12,17,26],"2e":6,"2f":[0,7,9,10,11,12,26,27],"2g":2,"2g_i":2,"2k":3,"2m":6,"2n":[0,2,3,26,27],"2nd":9,"2p":23,"2pm":24,"2pt":4,"2s":4,"2u":21,"2x":[0,3,8,13,26],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,22,23,24],"30":[0,1,4,6,7,9,10,13,16,24,27],"300":[],"3000":[],"30000":[0,26],"30000278325980556":[],"30000279381576256":[],"30010":9,"30012384":[],"3001669239476101":[],"3001669318826541":[],"30020439":26,"30085673":[],"301":[],"30119421":8,"30125775":[],"30129931":[],"30150056":[],"30170017":[],"30177145":[],"302":[],"3020":[],"30237154":[],"3024":[],"30258509":[18,26],"3029":[],"303":6,"3030":[],"303107":[],"30311767":[],"3032":[],"30326262":[],"30335380e":[],"30339081517583943":[],"30361418":[],"30442964":27,"30447937":[],"30466214e":6,"3047648":[],"30478013":[],"30485583":[],"30494363":[],"305":0,"30506642":[],"30567713":[],"30571694e":[],"306":0,"30630294":[],"3064":[],"3065":[],"30666456":[],"30674822e":[],"30677003":[],"306770031113352":[],"30685269":[],"306853":[],"3068687590657415":[],"30690504":[],"307":0,"3072":3,"3073":[],"30739146":[],"307631":[],"30763135":[],"3076923076923077":9,"3077":[],"30774404":[],"30787294":6,"308":0,"3082":[],"309":0,"30902533":18,"30914432":[],"30928349":[],"30940":9,"30971881":[],"30990916":[],"31":[4,6,12,18,23],"310":0,"31022577":[],"310277":[],"31027702":[],"310579":27,"3105791":27,"31072238":[],"31082439":[],"311":0,"31113868e":[],"31145723e":[],"312":[],"31212802":[],"3123314713548606":6,"31244861":[],"312449":[],"31248389":[],"3126":[],"31276579e":6,"31290061e":[],"31290684":[],"313":[],"31318084":5,"313183599076104":[],"3135197":18,"31395784e":[],"3139661":[],"31415359e":[],"314471861842257":[],"31457796":5,"315":6,"31532451":[],"3155":[0,5,6],"31579721":[],"31588043":[],"31588332":[],"316":[],"31633433":[],"31650694":6,"317":[],"31705377":[],"31714002":[],"31718909":11,"31728952e":[],"317367":11,"3175938":[],"317594":[],"31774469":13,"31780875":[],"318":[],"31803769":[],"31814386":[],"3189":[],"31895514":[],"31896852":8,"319":[],"31921368":[],"31927572":[],"31949465":[],"31960205":18,"31995103":[],"32":[3,4,6,12,13,18,23],"320":[],"3200":1,"320131":11,"32013106":11,"32019835":[],"32023229":[],"32032017":[],"32041353":[],"32078531":[],"321":[],"32108713e":[],"32133765":[],"32141575":[],"32149601703519115":6,"3214960170351912":6,"3215":9,"32185967":[],"322":[],"32220836":[],"32221699":[],"32234998":[],"32244056":[],"32257967":[],"3225819":[],"32265589":[],"3228044":[],"32341247e":[],"3235":[],"32372846":[],"32382849":[],"324":2,"32441343e":[],"3245":2,"32450054":27,"325":[],"3250":[1,6],"32507975":[],"32577534":[],"32584888":[],"326":[],"32615859":[],"326238":27,"32632463":[],"326325":[],"327":[],"32708194":[],"327291":[],"32729105":[],"3273472571412799":[],"32775737e":[],"328":[],"3283771":[],"328458":[],"32845846":[],"32858131":[],"32863661e":[],"329":[],"32941592e":[],"329492":[],"33":[4,9,12,18,24],"330":[],"33015882":[],"33020191":[],"3303366":[],"33066907e":[5,27],"33078483":[],"33079132":[],"33104875":[],"33108943":[],"33113018":[],"33159476":[],"33166055e":5,"331939":27,"33197004e":[],"332":[],"33213799":[],"33283583":26,"33285444":[],"33285905":[],"3329671101137754":[],"333":7,"33333333":13,"33408606":[],"33444711e":[],"33457718e":[],"33486875":[],"335":[],"33525471e":[],"33534416":[],"33537181":[],"335849":[],"336":[],"33600213":[],"3364":[],"33656494":[],"33708747":[],"33746734":[],"33746734412664":[],"33751667":[],"33788596":[],"33793867":[],"338":[],"33800793":[],"33857909e":[],"33860497":[],"33880129":[],"339":[],"33903511":[],"33918941":[],"33959063":18,"33995567":[],"339961":[],"3399612":[],"33it":[],"34":[4,9,18],"340":[],"340071371496255":27,"34010963":[],"34011629":[],"3403":9,"340583":[],"340782":[11,27],"341":[],"34100913":[],"34114547":5,"34133193":[],"34149655":[],"341497":[],"34154132":[],"34158540e":[],"34193915":[],"34243146":23,"34254681":[],"342680":27,"3426926":[],"34294831e":[],"343":[],"3431178":[],"34347894e":[],"3436":[0,26],"34362409":[],"3437":[0,26],"34373214":[],"3439564710454786":[],"344":[],"34412923":27,"34440086":[],"34447052":[],"34459931":[],"34460089":[],"34498001":[],"345":[],"34517495":[],"34569596":5,"346":[],"34606431":[],"34609499":[],"34619711":18,"34636057":[],"34642944":[],"34650316":26,"34685874":[],"346941":[],"34694145":[],"347":[],"34718587":[],"347186":[],"3472":[],"34728094e":[],"348":[],"34814162":[],"34816464e":[],"34836424":26,"348676117830458":[],"349":[],"3493":[],"34943652":18,"34968453":26,"34975242":[],"34977681":[],"34998197":[],"35":[0,4,6,19,24,26],"350":[],"3501046":18,"35058127":[],"35084272":[],"351":[],"35109296":[],"35125829":26,"3512747":[],"351275":[],"35140":9,"35146218":[],"35149796":[],"351498":[],"351636":[11,27],"35182854":5,"35193678":18,"352":[],"35248847":[],"35255737e":[],"35292923":[],"353":[],"3532":[],"35322418":[],"35325013":18,"35329636":[],"3536":[],"354":[],"35401107":[],"35403494":[],"35408251":[],"354083":[],"35412147":[],"35417405e":[],"35434042e":[],"3544313922":6,"3546689":[],"35470445e":[5,27],"3549":[],"355":[],"35533773":6,"35539164e":[],"35564856":[],"35567049":18,"35587778675776993":[],"356":[],"356399":27,"3568919":[],"357":[],"357508":27,"35771826":6,"35795044":[],"35796655":[],"35799174":[],"358":[],"3581341341":4,"35823605":[],"35825829e":[],"35845332":[],"35846425":[],"35858674":[],"359":5,"3591093":[],"3592571":[],"3597516959642966":[],"3597517":[],"35984424":[],"35it":[],"35m":3,"36":[0,1,4,5,6,19,23],"360":1,"3604":[],"36051635":[],"36094261":26,"36097055e":[],"36099915":[],"361":[],"36128659e":[],"3613":9,"361556":27,"3616476":[],"36170438":13,"3619":[],"362":[],"36212275":5,"362123":5,"3621311":5,"363":[],"3632959111950474e":6,"363295916323784e":6,"36348681":[],"364":[],"36400724":26,"36403046":[],"36420967":[],"36434588":[],"3646":[],"36537059":[],"36550376":[],"3655222":5,"366":[],"36654107e":[],"36674564":[],"36681298":[],"367":[2,9],"3676":[],"36789460e":[],"3679":[],"36795972e":[],"368":[],"36802977":[],"36825174":[],"3689":[],"369":[],"369139":[11,27],"36928":[],"36970119e":[],"36it":[],"37":[1,4,6,9,19],"370":[],"3701":[],"37021881":[],"3703":[],"3703468543933255":[],"3705":[],"37054827":[],"3706":[],"370782966":4,"37092452":[],"371":[],"37112277":[],"3713":[],"3714":[],"3716":[],"3717":[],"37187359":[],"372":[],"3722291337559605":[],"37236385":[],"372364":[],"37239927e":27,"3724":[],"3725":[],"37266855":[],"3727":[],"3728":[],"3729492":[],"373":[],"3730":[],"3732":[],"3733":[],"37335014":[],"3734":[],"3735":[],"37351692":18,"3736":[],"37369014":[],"3737":[],"37376184":[],"37388140e":[],"37391132":[],"37396662":6,"374":[],"3740":[],"3741":[],"3743":[],"3744":[],"37443731":23,"3745":[],"3747":[],"37477725":[],"374777250972322":[],"3748":[],"3749":[],"375":[],"3750":[],"3752":[],"3753":[],"37540613":[],"3756":[],"375694":[],"3758":[],"3759":[],"376":[],"3760":[],"37618253e":[],"3762603":18,"3763":[],"3764":[],"3765":[],"376547":[],"3766":[],"37667238":[],"3767":[],"3768":[],"3769":[],"377":[],"3770":[],"3773":[],"377372":27,"37737221":27,"37749489":[],"3775":[],"37757757":26,"3776":[],"3777":[],"3777801602":6,"3778":[],"3779":[],"378":[],"3780":[],"3781":[],"3782":[],"37836163":5,"378362":5,"3784":[],"3785":[],"37853034e":[],"3786":[],"3787":[],"37871763":[],"3788":[],"3789":[],"37895549":[],"3790":[],"37900111":6,"3791":[],"37917253":[],"3792":[],"37938584":[],"3794":[],"3795":[],"3797":[],"3798":[],"3799":[],"38":[1,4,9,19,23],"380":9,"3800":[],"3801":[],"3802":[],"38020451":[],"380205":[],"3803":[],"38035637":[],"3804":[],"38046294":[],"3805":[],"3806":[],"3808":[],"38088413":[],"3809":[],"3810":[],"3811":[],"38115471e":[],"3812":4,"3813":[],"38135654":[],"38135733e":6,"3814":[],"3815":[],"3816":[],"38160211":[],"38165546":[],"3817475779":6,"3818":[],"3819":[],"382":[],"3820":[],"38201155":[],"3821":[],"382187":[],"3822":[],"38220141":[],"3823":[],"3824":[],"3825":[],"3825029":[],"38259375":[],"3826":[],"3827":[],"3828":[],"3829":[],"38298328e":[],"383":[],"3830":[],"3831":[],"38319502e":[],"3832":[],"383315":4,"3834":4,"3835":[],"3836":[],"3837":[],"3838":[],"38380352":[],"38382691":[],"3838917029":[],"3839":[],"384":[],"3840":4,"3841":[],"3842":[],"3842967":[],"3843":[],"3844":[],"3845":[],"3846":[],"38461538461538464":9,"38461539":[],"38465596":[],"3847":[],"38478181":[],"384782":[],"3848":4,"38488879":[],"3849":[],"38493367":[],"385":[],"3850":[],"3851":4,"38511237e":[],"38511413":[],"3852":4,"3853":[],"38533185":6,"3854":[],"38540656":[],"3855":[],"3856":4,"3857":[],"3858":[],"3859":[],"386":9,"3860":[],"3861":[],"3862":[],"38629436":[18,26],"3863":4,"3864":4,"3865":[],"3866":[],"3868":[],"38688646e":[],"3869":[],"387":[],"3870":[],"3871":[],"3872":[],"3873":4,"38743286":[],"3875":[],"3876":4,"38764522e":[],"3877":4,"3878":[],"38782352":[],"38787447":[],"3879":[],"3880":4,"3881":[],"3882":[],"3883":[],"38831624":[],"3884":[],"388451":[],"38845241":[],"3885":[],"3886":[],"3887":[],"38875182":[],"3888":4,"3889":[],"389":[],"38916861e":6,"38923192e":[],"3893":4,"3894":[],"3895":4,"3896":[],"38962192e":6,"3897":[],"38970078":26,"3898":[],"3899":[],"39":[0,1,4,9,20,24,26],"390":[],"3900":[],"3901":[],"3902":4,"39026883":[],"3903":[],"3904":4,"3906":[],"3907":[],"3907408":[],"39078751e":[],"3908":[],"391":[],"3910":[],"3911":[],"3912":4,"3913":[],"3914":[],"39148625":[],"3915":4,"3918":[],"3919":[],"39197698":27,"391977":27,"392":[],"3920":[],"39200159":[],"3921":[],"39214397":27,"392144":27,"3922":[],"39229856":[],"3923":[],"3924":[],"392564":[],"39256409":[],"3928":[],"39287528":[],"3929":4,"393":[],"39300201":[],"393030":[],"3930301":[],"39308683e":[],"3931":[],"39313789e":[],"3932":4,"3933":[],"3935":[],"3936":[],"3937":4,"3938":[],"3939":4,"394":9,"3940":[],"3942":4,"3944":4,"39457095":[],"3946":[],"3948":4,"39483726":[],"39494529":23,"395":[],"3951":[],"3953":[],"3954":4,"39541528":[],"3957":[],"39572825":[],"39579407":5,"396":[],"3960":4,"39609089":[],"3961":4,"39612983":[],"3962":[],"39623570e":[],"3964":[],"39644178":[],"3966":[],"3967":[],"3968":4,"397":[],"3970":4,"39706038":5,"3971":4,"3972":[],"3973":[],"39730396":19,"3975":4,"3976":[],"397700":[11,27],"3978":4,"39789527":[18,26],"3979":[],"398":[],"3980":[],"3980313467":6,"3981":[],"39822715":[],"39837199":[],"3984":4,"39856058e":[],"39863686":26,"3987":4,"39890447":[],"39895173e":[],"399":[],"3990":[],"39917327":[],"3992":[],"39931051e":27,"3994":[],"3995":4,"3996":[],"39965905e":[],"3998":[],"399836":27,"3999":[],"39it":6,"3d":[2,3,4,6,13,19],"3f":[1,3,9],"3n":18,"3s":[],"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,13,19,26],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,26],"40":[0,1,4,6,9,19,20,24,26],"400":4,"4000":[9,26],"40009482":[],"4001":[],"40043644":[],"4007":4,"40075395":[],"4008":4,"4009":[],"401":[],"4010":[],"4011":[],"40111899":[],"401119":[],"4013":[],"4014":[],"40167092":[],"4018":4,"40182469":[],"401842":[11,27],"402":[],"40216748":[],"4024":[],"4025":[],"4027":[],"40293251":[],"4032":4,"4033":[],"40359681":26,"4036":4,"40362053":[],"4037":[],"40389562":[],"404":[],"404130":[],"40413036":[],"4043":[],"404470":5,"40447029":5,"4048":[],"405":9,"4050":[25,26],"40500157":[],"4051":4,"40512793":[],"40513177e":[],"4052":4,"4053":4,"4054":[],"4055":[],"4056":[],"405890":[11,27],"406":[],"40620066":27,"406201":27,"40629059":[],"4063":[],"40634991":[],"40644745":[],"4066":[],"40660618e":[],"40666305":[],"4068":[],"407":9,"40714201":18,"40763529":26,"4078":[],"408":9,"4082":[4,6],"40837262":[],"40837954":[],"4085":[],"4086":[],"4087":9,"4087793":5,"4088":[],"40881429":18,"40892146":[],"4090":[],"40920261e":[],"40927184e":6,"4095":[],"4096":[],"4099":4,"40contain":20,"40it":[],"41":[1,2,4,9,18,20],"410":[],"4100":[],"41021561":[],"41042542":18,"4106":[],"4107":9,"41097603":[],"411":[],"4111":4,"41125816":18,"411730":[],"41173033":[],"412":[],"41219619":[],"41226929e":[],"41235715":5,"41246325":[],"4128":[],"41291861":[],"413":[],"4130":[],"4134":4,"4137":[],"41371745":[],"414":[],"4141":[],"41433969":5,"41441328e":[],"4146":[],"41471556e":[],"4148":4,"415":[],"4150":21,"415066":[],"41506637":[],"41511965e":1,"415201":[],"4155":[2,15],"41594943":[],"416":[],"41600503":26,"4162":[],"4162706317":6,"41639971":26,"41644629e":[],"4166666666666667":9,"41671085":[],"417":[],"41708096e":[],"41716708":[],"41739393":[],"4177":[],"41771755":[],"41772265":[],"417741":11,"41774143":11,"41790059":[],"418":[],"4181":[],"41842164":[],"418506":[11,27],"4187996":[],"41882037e":6,"41891092":[],"41894238":[],"419":[],"4192":[],"41928689":[],"41936371":18,"4199":[],"42":[1,4,8,9,10,18,23],"420":[],"4203":[],"420442688206847":[],"4208":[],"42109456":[],"421120085426022":[],"42138688e":[],"42143986":[],"42172457":[],"42198678":[],"421987":[],"422":[],"4220":[],"42203045":[],"4221":[],"4222":[],"42239354":[],"422658":[],"42265837":[],"423":[],"4230769230769231":9,"42323635":[],"4234":[],"4236":[],"424":[],"4241":[],"42441033":5,"42450":9,"42457498":[],"424575":[],"42484290e":[],"42484459":[],"424863":[],"42486342":[],"42487977":[],"425":[],"4253":[],"42535003":[],"425564":[],"42556446":[],"4256":[],"42578415":[],"4258049":[],"42584543":[],"426":[6,7,9],"42633236e":[],"42642980e":[],"4266":[],"427":[],"42738539":26,"4277":[],"42777999":[],"428":[],"42800148":[],"4281152":[],"428690538456245":[],"4287":[],"428741":[],"42874148":[],"42876571":[],"429":[],"429345":[],"42934502":[],"42967903e":[],"42it":[],"43":[0,4,7,9,18,21],"430":[],"43043913":[],"43054282":5,"4310":26,"4314":[],"4316":[],"432":[],"432019":5,"43201921":5,"43226747e":[],"43233857":[],"433":[],"43330971e":6,"43334205":[],"4336":[],"4338":[],"43392925":[],"434":[],"43425860e":[],"43466245":[],"4349":[],"43490863":[],"43496417":[],"435163":27,"4353":[],"43559429":[],"43579948e":6,"436":[],"43608740e":[],"43639284e":27,"436462435":4,"43647835":[],"436501":[],"43650129":[],"43650214":26,"43656654":23,"437":[],"43713337":[],"4372":[],"4375":[],"43766686":11,"438":[],"43801947":[],"438060758":6,"43809274e":[],"438136":27,"439":[],"43902948":[],"439230":6,"4394":[],"43941514":[],"43951204":[],"43989497":[],"439m":4,"43it":[],"43m":4,"44":[0,4,18],"440":[],"44020145e":[],"44079937":[],"44082882":[],"44089210e":[5,27],"4409806":23,"440m":4,"441":[],"44116407":[],"441182":[],"44118245":[],"441264":[],"441m":[],"442":[],"44210664":[],"4426":[],"442600":[11,27],"44298022":[],"442m":[],"443":[],"443217":27,"44347438":[],"443m":[],"444":9,"44402322":[],"44407741e":[],"44418822":[],"44437409":[],"44440345":[],"444m":4,"44507049":[],"44520102":[],"44595818":[],"445m":4,"446":[],"446033":[],"44624525e":27,"44632008":[],"44637348e":[],"44642273":[],"446453":[],"44657526e":[],"4466":[],"446m":4,"4472":[],"44729805":[],"44732200e":[],"447659635275407":[],"44765964":[],"44781662":[],"447817":[],"447m":4,"448":[],"44842116":[],"44886896":[],"448m":4,"449":[],"449001126081919":[],"44900113":[],"44921888":[],"44957069":[],"44967228":[],"44970586e":1,"449m":4,"44it":[],"45":[4,9,24,26],"450":9,"45000312":[],"45014":[],"45017176":[],"450257":[11,27],"4504":9,"45047066":[],"45048537":26,"45062284":[],"45065211":[],"45073476e":[],"450m":[],"451":[],"4512":[],"45133278":[],"45134965":[],"451m":[],"45207509":[],"45227801":[],"45253585":[],"452553":[],"45255977":[],"45281756":[],"45290234":[],"452m":[],"453":[],"45308692":[],"45380691e":[],"45399416":[],"453m":[],"454":[],"45405253e":[],"454241":11,"45424136":11,"454m":[],"455":[],"45502684":[],"455173":[],"4555094":[],"455592":[],"4556":[],"4557763":11,"455947":27,"455m":[],"456":9,"4560786541572335":[],"45610021":[],"45642521":[],"45668633":[],"456m":[],"457":[2,4],"457m":[],"458":[],"458027":27,"458078":[11,27],"45808919":[],"45811552":[],"458740":[],"45878472":[],"4588":[],"45884458":18,"458m":[],"459":[],"45915671e":27,"45922756e":[],"45960079":5,"45976616e":[],"459m":[],"46":[4,9,24,26],"460":[],"46000649":[],"4600624385659884":[],"4601":9,"46022436e":[],"46026a8f5d2c":[],"46045199":23,"4605":[],"460m":[],"461":[],"46117193":[],"46132345":[],"46138883":18,"46139936":26,"46153846153846156":9,"46156624":[],"461m":[],"462":7,"4627795":[],"46285399":[],"46294168":18,"462m":[],"463":[],"46306318e":[],"46313714":[],"46383925e":6,"46383926e":6,"463861":[],"463m":[],"464":[],"4642383":[],"464m":[],"46580623":[],"465m":[],"466":[],"46609435":[],"46660343":18,"4667":[],"466m":[],"467":[],"467427755242117":[],"46753261e":[],"46754435":[],"4676059":27,"467606":27,"46766277":[],"467663":[],"467818":[],"46781836":[],"467m":[],"468":[],"46873567":[],"46895658":[],"468m":[],"469":[],"46904874e":[],"4694":[],"46957262e":[],"46984697e":6,"469m":[],"46it":[],"47":[4,9,24,26],"470":[],"47013955":26,"47042744":5,"470683":11,"47068328":11,"470714":27,"47075725":6,"470m":[],"47116132":[],"47116868e":6,"4712168":[],"47125748":5,"47128426":[],"47128712":[],"47132891":5,"4714":[],"4716412":26,"47176716":[],"47176783":[],"47179152":[],"471874":[],"47187428":[],"471m":[],"472":[],"47202442":[],"4722":[],"472445":[],"47244548":[],"4727":[],"47297104":[],"472m":[],"473":[],"47313680":[],"47340594":[],"47364408":[],"47391428":[],"473m":[],"47430124e":[],"47447472":[],"474m":[],"475":[],"475405":[],"47540513":[],"475582":[],"47558206":[],"4757488":[],"475m":[],"476":[],"47605918e":[],"47610036":6,"476m":[],"477":[],"47700752":[],"47701204":[],"47704686":[],"4772":[],"47748887":26,"47781605":[],"477m":[],"47815203":11,"47831084":[],"47868192":[],"478m":[],"479":[],"479465113":4,"47950427":[],"47959046":23,"47991139":[],"479m":[],"47it":[],"48":[4,9],"480":[],"48096529707360347":[],"4809676":[],"480m":[],"481":[],"4810":[],"48134747":[],"481401":[],"48140137":[],"48145226":[],"481979":6,"481m":[],"482":[],"48209629":[],"48240312e":[],"48243352e":[],"48257387":[24,26],"48263731":[],"48289037":[],"482m":[],"483":[],"4831993814276723":11,"483257001":13,"48333258":[],"48336413":[],"48356153e":[],"483m":[],"484":[],"48417033":[],"48418018":[],"48423285":[],"48444949":[],"48461009":[],"48464841":[],"48476997":11,"484m":[],"48534921":[],"48577692":[],"48598711":[],"485m":4,"486":[],"48613114":[],"48629506":[],"48668089":18,"48681218":26,"486852":[],"48685204":[],"48699577":[],"486m":[],"4871":[],"4871984":[],"48766753":23,"487m":[],"488":[],"4881344092288954e":[],"48815255e":[],"488m":[],"48935121":[],"48938433":26,"489502":[],"48950243":[],"48994188":5,"489m":[],"49":[4,5,6,9,11,19,27],"490":[],"49057373":[],"49065324e":[],"49078463":[],"490m":[],"491":[],"49152":3,"49186362e":[],"491m":[],"49216685":[],"49230548":26,"492m":[],"493":[],"49313815":[],"49369173":[],"493m":[],"494":[],"4940954":[0,26],"49423098":[],"49486583":[],"494m":[],"495":[],"49529781":[],"49545139":[],"49555885e":[],"49556373e":[],"49580918":[],"4959161509357395e":6,"495916150936645e":6,"495m":[],"49616116":[],"49648665":[],"497":[3,4],"4974606_hedonic_housing_prices_and_the_demand_for_clean_air":[],"4974810657432664":[],"497m":[],"498":[3,4],"49825509":23,"4983":[],"49865980e":[],"49873827":[],"498m":[],"499":[3,4],"4990":23,"49901588":[],"4992":23,"4993133":[],"49940538":[],"4997":23,"499m":[],"49it":6,"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[24,26],"4s":[],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,23,26,27],"50":[1,2,3,4,6,7,8,9,10,13,26,27],"500":[1,3,4,6,9,10,13],"5000":[],"50000000e":[],"50000455":5,"50000553":5,"50000718":5,"50000855":5,"50000969":5,"50001063":5,"50001142":5,"50001207":5,"50001261":5,"50001306":5,"50001343":5,"50001374":5,"500014":5,"50001414":5,"50001422":5,"50001439":5,"50001454":5,"50001466":5,"50001476":5,"50001485":5,"50001492":5,"50001498":5,"50001502":5,"50001506":5,"5000151":5,"50001512":5,"50001515":5,"50001517":5,"50001518":5,"50001519":5,"50001521":5,"50001522":5,"50001523":5,"50001524":5,"50001525":5,"50046106":[],"50079895":[],"50083166":[],"500m":[],"501":[3,4],"5014":[],"50153896":18,"50172141":[],"5018":23,"50184628e":[],"501m":[],"502":[3,4],"50227564e":6,"50274255":[],"502m":[],"503":[3,4],"50321091":5,"50359169e":[],"504":[3,4],"5040323":26,"50427787":[],"50462474":[],"5046808":[],"504m":[],"505":[3,4],"50519365":[],"50562981":[],"505m":[],"506":[0,3,4],"50626752":[],"50653545":[],"506553":27,"50655336":27,"50661281":[],"50676615":23,"50691065":[],"50697511":[],"5069860830630872":[],"5069860830630875":[],"507":[3,4],"50721349":[],"50764587":23,"5078":[],"507d50":[9,10],"507m":4,"508":[3,4],"50837888e":[],"50846111e":6,"50846112e":6,"508m":[],"509":[],"5091":[],"50925722e":[],"5092982":[],"50it":[],"50j":13,"50x10":1,"51":[4,10],"510":1,"5105983":[],"511":[3,4],"511888":5,"51191552":6,"511m":[],"512":[3,4],"512204707520711":[],"51220471":[],"51249881":[],"512499":[],"51267283e":[],"512m":[],"51349834":[],"51374050":[],"514":[],"514219":27,"5148389267750961":[],"515":[],"51549827":[],"515m":[],"516":[],"51619543":26,"51635486":[],"51647799e":[],"516m":[],"517":[],"51727541":[],"51729923e":[],"51741855":[],"517582":[],"51758232":[],"517615":[],"51761523":[],"5177783846":4,"51821339":[],"51845286":[],"5186":[],"518895":[],"518923":[],"51892347":[],"519":[],"519m":[],"52":[3,4],"52006777e":[],"52015514":[],"52067151":[],"52078202":[],"52180619":[],"52180757":18,"521m":[],"522":[],"52204004":[],"52208436":13,"52209178":[],"5222222222222223":1,"5222400324755649":[],"522240032475565":[],"5222400329453616":[],"5222413718621189":[],"522836":[],"522m":[],"523":[],"52305374":[],"52362157e":27,"52377342":11,"524":[],"5240":[],"52400486e":[],"52470105":[],"52482437":[],"525010":[],"52501047":[],"525054":[],"52512898":[],"52518625":[],"52552042":23,"52565509e":[],"525739":[],"52573941":[],"526":[],"52626194e":[],"526744":[11,27],"52687741":[],"527":[],"52725477e":[],"5274":[],"5276":[],"52775466":[],"52795454":[],"527m":[],"528":[],"52823177":[],"52856208":[],"52874252":5,"529":[],"52942586":[],"52944573":[],"529446":[],"52950417":[],"52960552":18,"52977457":[],"5297947920715131":[],"52988562":[],"529886":[],"53":[3,4,9],"5302517":[],"5303329":11,"53049637":[],"5305555555555556":1,"531":[],"531280":27,"53149684e":[],"532":[],"5320148":[],"53229196":[],"53250091":[],"53278871":[],"532789":[],"53294653":[],"533":[],"53367133":[],"53371547e":[],"53375204":18,"53380807":26,"534":[],"5340022":[],"534362":[],"53452255":[],"53459992":[],"5349":[],"535":[],"53506617":[],"53515878":[],"5353":[],"53542722":[],"53558374":[],"53596681e":[],"536":[],"5361201":26,"53632379":[],"53632918":[],"5364857":[],"53683592e":[],"536915581616642":[],"5369485":[],"537":[],"53700083":[],"53703498":6,"53703671":23,"53738247":[],"53755010e":[],"5378811":11,"538":[],"53811172e":[],"5384615384615384":9,"53859920e":[],"53895778":[],"539":[],"539261":[11,27],"5393":[],"53946725":[],"53it":6,"54":[3,4,6,9,23],"540":9,"54039921":5,"54041041e":5,"54050804e":[],"54071847":[],"54129367":[],"541605":27,"54190070e":[],"542":[],"54205622":[],"54213329":[],"54220589":[],"54285633":[],"54342461":[],"5435":[],"54378734e":[],"54379087e":[],"543939":27,"54393936":27,"54398576":26,"544":[],"5442":[],"544439":27,"5449":[],"545":[],"545099":[],"54509921":[],"54514209":[],"5452708224046345":[],"5454":[],"54601264e":[],"54608238":18,"54611024":[],"54617756":[],"54622374":[],"54637219":[],"54640368":[],"54644868":[],"54672588":[],"547":[],"5470":[],"5477":[],"54852248":[],"549":[],"54969188":[],"54993524":[],"55":[1,3,4,9],"55011282":18,"55043852e":[],"55063291":[],"55086461":[],"55152034":[],"552":[],"552042":[],"55206229":[],"55295871":[],"55315304":[],"55328795e":[],"55331574":[],"55342366":18,"554":[],"55438359e":[],"555":[],"55511609":[],"55527296":[],"5555555555555556":1,"55555773":[],"555m":[],"556":[],"55628123":26,"55649207":[],"55684718":[],"55685628":[],"556m":[],"557":[],"557795":[11,27],"55790428":[],"558":[],"55812916":[],"55847112":[],"55854694":11,"55865092":[],"55867377":[],"55868255":[],"559":[],"55906894":[],"5594":6,"55940301":[],"55955126":[],"55972302e":[],"55it":[],"56":[1,3,4,9],"560":[],"5601973572808581":[],"56033697":5,"56069111":18,"5608253":[],"56083543":23,"561":[],"56135704":[],"56151035":[],"5615739502773949":[],"5616":[],"56171141":[],"56198284":5,"561m":[],"56217428":[],"56240703e":[],"56249706":[],"56288447":[],"56288861":[],"562888614232874":[],"56291744":[],"563":[],"563167":[],"56364308":[],"56366546":[],"56397327":[],"56399029e":[],"56399576":26,"563m":[],"564":9,"56424167":[],"564242":[],"56424378":23,"56425249":[],"564374":[11,27],"56465688":[],"56475572":[],"56477354":[],"56486674":13,"565":9,"56536":[0,26],"56548318":[],"56570797e":[],"56589683":[],"566":9,"56603693":18,"56636537":[],"56636616e":6,"56640341":18,"56676694":[],"56678624":[],"56686787":[],"566m":[],"567":9,"56733919":[],"56740132":[],"56749245":[],"56756375":[],"568":9,"5680":[],"56822376":[],"56830193":[],"56841764":18,"56846508":23,"568587":[],"56858701":[],"56878976e":[],"56899695":[],"569":[1,9],"56912044e":6,"56933711":18,"56939714":5,"56965674":[],"57":[0,3,4,8,9,24,26],"570":9,"5703663":[],"571":5,"571105947979344e":6,"571105947979394e":6,"5712104":[],"57146034":[],"57201944e":6,"572069":[],"57219055":[],"5721905504656455":[],"57223110e":[],"57285536":[],"573":[],"573029":[],"57302926":[],"573091":5,"57309147":5,"57316402e":[],"57329374":[],"5733843":[],"5735888":[],"574":[],"57406865":[],"574465":[11,27],"575":[],"57537966e":[],"57572321":[],"576":[],"5762":3,"57670824":[],"57677544":[],"5769230769230769":9,"577":[],"577421319924605":[],"57794243":18,"578":[],"57811941":[],"5786304":[],"57875488e":[],"579":[],"57935482":[],"5793788":[],"579437":[],"57943748":[],"57952471e":[],"58":[4,9,10,24,26],"580":[],"58076367":[],"5808118":[],"58083888":18,"58098325":[],"5810785":[],"58182803":[],"58193124":[],"58196606":[],"581m":[],"582":[],"58207928":[],"58268575":[],"5828247":[],"5829913":[],"5833333333333334":9,"583595":27,"58368727":[],"58397472":[],"584":[],"58427764":[],"58465096":[],"58486384":[],"58487995":18,"58492636e":27,"585":[],"58519863":[],"58581665e":[],"58621153":[],"58639705":[],"58662003":[],"587":[],"58739348":[],"58742004e":[],"58793527":[],"58810494":[],"58818643":[],"58841019e":[],"5888888888888889":1,"589":[],"58948138":[],"58948347":[],"589971818845805":[],"58it":[],"58m":[],"59":[4,9],"590":[],"59004971":[],"59033885":18,"590609":[],"59060904":[],"5909":[],"59101492e":[],"591317992":4,"5914397":[],"59187177":[],"591872":[],"592":[],"59206948":[],"59222238":[],"592658":[],"59265811":[],"593":[],"59327016":[],"594":[],"59412285":[],"594141":[],"5944444444444444":1,"59446603":[],"59511582":[],"59545081":[],"59558002":[],"59589728e":[],"595934":5,"59593425":5,"596":[],"59602968":[],"59640396":[],"59642735":[],"596m":[],"59703606":[],"5974862":[],"598":[],"59816099":[],"59883217":[],"59895188":[],"599":[],"59905073":[],"59916814e":[],"59922967":[],"5993":[],"59939312":[],"59987612":[],"59it":6,"59m":[],"5cm":[21,23],"5f":8,"5m":[],"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,24,26,27],"60":[1,3,4,6,9],"600":[],"6000":[],"60000":4,"6003":[],"60090208":[],"601":[],"60108393":[],"6019067271":4,"60293962":5,"603":[],"60307141":[],"60356071":11,"603561":11,"603636":[],"6037092":[],"603765":5,"60376519":5,"60381656e":[],"60383004":[],"60398689":[],"604":[],"60407268":[],"60420593":5,"60493501":[],"605":[],"60543038":27,"606":[],"60673226":11,"6067329321734374":[],"60675691":[],"606760":5,"607":[],"6071713":[],"60742555e":[],"60792149":[],"608":[],"60815105":6,"60846694":[],"608467":[],"60863613e":[],"6088":[],"60883945":[],"6088727":[],"60893494":18,"609":[],"60943791":[18,26],"60it":[],"61":7,"610":[],"61043964e":[],"61050884e":[],"611":[],"6111111111111112":1,"61137175":11,"61197218":[],"612":[],"61213079":11,"612131":11,"61219726":[],"61238907":[],"61246573e":[],"61253537":[],"612939":27,"613":[],"6130353":[],"61336683e":[],"613579":27,"61394448":[],"614":[],"614808":[11,27],"61480907":[],"615":[],"61504341":[],"61532006":[],"6153846153846154":9,"6155":[],"61585143":[],"616":[],"61631038":[],"61653285e":[],"61669885e":[],"61695829":18,"617":[],"61702282":6,"61775176":[],"61795354":23,"617961":[],"61796102":[],"618":[],"61861937":23,"618982":27,"619":[],"61939429":[],"61949985e":[],"61955303":[],"61971639e":[],"61992828e":[],"61it":6,"61m":[],"62":[3,4],"620":[],"6200":26,"6201":26,"6202":26,"62025406":[],"6203":26,"62034461e":[],"62038116e":[],"6204":26,"621102":[],"6214":[],"62146709":26,"62199022":[],"622":[],"623":[],"62373464":11,"62397973e":[],"624":[],"62412322":[],"62460522":[],"62464344":[],"625":7,"62518501":[],"62554614":[],"6258":[],"6259":[],"62592637":27,"62606121":[],"6262":4,"62633359":[],"62642303":[],"6266335":18,"626635268":6,"627":[],"627153":3,"62765028":[],"62841921":[],"62862896":[],"6288":[],"6289054":[],"62894215":5,"629":[],"629100":[],"62910047":[],"62919818":[],"6297":[],"62it":[],"62m":[],"63":[0,1,3,4,6,7,9],"630":[],"6300745149331701":[],"63025821e":6,"63081005":[],"63130027":26,"63162342":27,"63180447":[],"632":[],"63212587":[],"63227278":[],"63249532e":6,"63277911e":[],"63281889":[],"633":[],"63304358":11,"633949":[],"634":[],"63401971":[],"634020":[],"634715":[],"63471545":[],"63498144":5,"63504283":[],"6353716266230895":[],"63537163":[],"63565881":[],"63567272":[],"6357":[],"636":[],"63613568":5,"636136":5,"63659131":[],"63677721":[],"63685221":[],"637":[],"637129335071195":[],"63727258e":[],"63790586e":[],"638":[],"63837812":[],"63843494e":[],"63849228e":[],"63860117":18,"63870745":[],"63875295":[],"639":[],"63957747":[],"6398684":[],"63m":[],"64":[1,3,4,7,13,18,26],"64012627":5,"64018793":[],"64056395":[],"64056731":[],"64064106":[],"64093905e":[],"641":[],"64101039":[],"6411":[],"64110154":[],"64111239":[],"64147722":[],"64158883e":[],"64192269":[],"642":[],"64228618e":[],"64257697e":[],"64291044e":[],"64292493":[],"64299732":[],"643":[],"64316192":[],"64316482":[],"64342603":[],"64347512":[],"64365518e":[],"64378812":18,"64391062":[],"643m":[],"64432571":[],"64472123":[],"644829":[],"64482901":[],"6448861":[],"645":[],"64502836":[],"64527549":[],"64530585":[],"64550753":[],"64594566":[],"645946":[],"646":[],"64624281":18,"646283":[11,27],"64695862":[],"647":6,"64704843":26,"64733822":[],"64742912e":6,"647473":[11,27],"648":[],"648382":[],"64846973e":[],"64874236":[],"64895758":23,"649":[],"649382":[11,27],"64969451":[],"649695":[],"64m":[],"64x50":1,"65":[1,3,4,7,8,9],"650":[],"65015024":[],"65036493":[],"65062476":[],"6513444":[],"65196615":[],"652":[],"652187":[],"65218729":[],"6522099":[],"65244075":[],"6527":[],"65313891e":[],"65318467":[],"65322635":[],"65339992":[],"6536392":27,"654":[],"65408703e":[],"65409368":[],"65442354":27,"654424":27,"65470462":23,"654m":[],"655":[],"6556":[],"65565751":[],"65571174e":27,"65599456":27,"6559956":[],"65600":[],"6561627":23,"65626992":[],"65628888":[],"65652778":[],"65673455":[],"6568551":[],"657":[],"65704027":[],"657041":[],"65715086":[],"65720414":[],"65728698e":[],"65743689":27,"65766777":[],"65773892":26,"658":[],"65805069":[],"65822169":[],"65825344":[],"65833132":27,"65885453":5,"65891389":27,"658914":27,"65913552":[],"65925306":[],"6599":[],"65it":6,"65m":[],"66":[3,4],"660":[],"66013062":[],"66036618e":[],"660470":[],"66047048":[],"66051179":[],"66064822":27,"66080313":27,"6608358":[],"6608592":[],"661":[],"66174067e":[],"66181587e":[],"662":[],"66204648":6,"66219404":6,"66289131":[],"66289428":[],"6628996975186953":[],"66294408":27,"66323494":[],"6638":9,"664":[],"664586":[],"66489687":[],"66490332e":[],"665":[],"66510547":[],"6652177":27,"66545355":[],"66560":9,"66562658e":[],"665m":[],"66608227":[],"6663":[],"66634905":26,"666597":[],"66667985":[],"66675932":18,"666897":[],"66689729":[],"667":9,"66722647e":[],"667239":[],"66725024":[],"66798429":[],"668":[],"668172":27,"66855692":[],"66878535":[],"669":[],"6691852":[],"66951925":[],"66959644":[],"66979282":[],"66it":6,"66m":[],"67":9,"670":[],"67035174":[],"67047975e":6,"67083919":[],"671":[],"67109613":[],"6714298027296224":[],"67189384":[],"67193435":[],"67199316":[],"671m":[],"672":[],"67264685":[],"672721":27,"6727393":[],"67314874e":5,"67347822":[],"674":[],"67432237e":[],"67541155":[],"67554897":[],"676":[],"6764":[],"67640036":[],"67671601":[],"677":[],"677235":[],"67723533":[],"678":[],"6780674":[],"6781":[],"67869899e":[],"6788":[],"67890723":[],"6795":[],"67957316":26,"67it":6,"67m":[],"68":[],"680":[],"68029581":[],"68037392":[],"680374":[],"681":[],"68129773":26,"68184997":[],"6819":[],"68192193":5,"682":[],"68250601":[],"68259989":[],"68284332":[],"68286725":27,"683":[],"68303739":18,"68324974e":[],"6835":[],"68351374e":[],"68375286":23,"68419351":[],"684194":[],"6848187":[],"6849":[],"685":[],"68534263e":6,"68542204":5,"68548206":[],"685643":[],"68564345":[],"68581655":[],"68592431":[],"68596176":[],"685962":[],"68599651":[],"6860597312101988":[],"68632877":18,"68655761":[],"68671762":23,"68685905e":[],"6869":9,"6869858":[],"687":[],"68711054":[],"68736603":[],"68759903e":[],"687m":[],"688":[],"68809785":[],"68818255e":[],"68871199":[],"6887363571":4,"6890":[],"68929213e":6,"689345":[],"689519":[11,27],"68971917":[],"68992377":[],"68m":[],"69":[7,9,23],"690":9,"69009002":[],"69018454":[],"69029803e":[],"690617":27,"69069n_":23,"690710":[],"69071035":[],"691":[],"69111133e":[],"69127233":[],"69161166e":[],"69167569":[],"692":[],"692268":[],"69226802":[],"69230769":[],"6923076923076923":9,"69232893e":[],"69233822":[],"69236842":26,"69273094":[],"69275323":[],"692m":[],"693":[],"69303559":[],"69314603":[],"69355844":[],"694":[],"6945612":[],"69481287":[],"69484813e":5,"69488259":11,"694883":11,"69492254":[],"695":[],"69504801":6,"69519297":[],"69524041":[],"69542733":[],"69564736":26,"69582036":[],"69585594":[],"696":[],"69609556":26,"69629255":[],"69634577e":6,"69666941":[],"69686293":26,"69695259":5,"697":[],"69714468":[],"697584":[],"69758412":[],"69773572":18,"6980":[],"69802962":[],"69818111":[],"69827131":[],"69873514":[],"69887085":[],"699":[],"69908626":6,"69948916":18,"69966724":[],"6999536":11,"69997503":[],"69it":[],"69m":[],"6n_":23,"6pm":26,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,15,18,19,21,22,23,25,26,27],"70":[1,6,7,9],"700":[],"7000":[],"70037324e":27,"7005538702846336":[],"701":[],"70115106":[],"701370":5,"70153836":26,"702":[],"70221196e":[],"70224083":[],"7023746599300384":9,"70249832":[],"70252786":[],"7025846":[],"70262543":[],"703":[],"7031743":[],"7031999826431274":[],"7032":[],"70328587e":[],"7033":[],"70344416":[],"70367282":18,"704":[],"70408916":[],"70477499":23,"7047854":[],"7049":[],"705":[],"70506522":[],"70573539":[],"70594499":[],"706":[],"70653767":4,"706833":[],"7069":[],"707":[],"70710678":[5,27],"7073":[],"7078":[],"70792235":[],"70796162":[],"708":[],"7082333":[],"70832814":5,"708589":[],"7086067479626619":27,"7089":3,"70899024":[],"709":[],"70913648":23,"70917314":[],"7094664":[],"70967214":[],"709698":[],"70it":[],"71":1,"710":[],"7100524":[],"71038664":[],"71038982e":[],"710746":[],"71082182":11,"710822":11,"711":[],"71137935":[],"71142161":27,"711422":27,"7119":9,"71193859":[],"71196799e":[],"712":[],"712018":[11,27],"71213744":[],"71269506e":[],"71285447":[],"713":[],"713163":[],"7135487":[],"71365128":[],"71369789":[],"71375273e":[],"714":[],"71424969":[],"71437567912473":[],"71437568":[],"71467081":[],"71504681":[],"715536":[],"71553646":[],"71615146":[],"71640333":[],"71647328":[],"71654553":[],"717":[],"71727268":[],"717273":[],"71737253":27,"71761101":27,"718":[],"718165":5,"71868557":[],"71875845e":[],"71977472":[],"71979573e":[],"72":[],"720":[],"7203":[],"7207467":[],"721":[],"7215423":[],"72174172":11,"722":[],"72228205":[],"72264336":[],"72271878e":6,"72277345":18,"7228270501360416":[],"723":[],"72328506":[],"72359843":18,"7236674":5,"724":3,"72452914":[],"725":[],"72546953":[],"72598009":[],"72651548":[],"727":[],"727278":26,"72742343e":[],"72782592":[],"72795751":26,"728":[],"72850577":26,"72859758":5,"7296587":[],"72981762":8,"73":[6,9],"730":[],"73000497":[],"730005":[],"731000":27,"7312":3,"731344":18,"731441119315968":[],"7317759":[],"732":[],"73231305":[],"73293228266057":[],"73293298":[],"7330932":[],"733096":27,"73333333":[],"73359971":23,"73379189":[],"73391309":5,"734":[],"734107":[],"73410729":[],"73441814":[],"73448544":[],"73456649":[],"73482109":[],"73492514":[],"735":[],"7354157":[],"73582138":18,"736":[],"737":[],"73806921":[],"73875685":11,"7392":[],"74":6,"740":9,"74042291":[],"7407":[],"74081822":8,"740m":[],"741":[],"741391":[],"7413913":[],"74147751":[],"741m":[],"742":[],"74233133":[],"74280244":[],"743189104728408":[],"74384949":27,"74391438":[],"744":[],"74401372":[],"74430995":[],"74437617e":[],"74462857":[],"745":[],"7451077":[],"74529434":23,"74577867":[],"74587018":[],"746":[],"74607851":27,"74631004":[],"747":[],"74724767":[],"74731872":[],"748":[],"74818082":[],"74829661":27,"7483":[],"74840212":5,"7484672e":[],"74849204":[],"749":[],"7490462":[],"74934715":[],"749765":27,"74978227":18,"74995126":[],"7499831":23,"74m":[],"75":[5,6,8,9,11,19,27],"750445":27,"75050135":27,"75054469":[],"7506274061293645":[],"7506410412799234":11,"7508636683863235":5,"75091492":[],"751":[],"75162857":[],"751699":[11,27],"75170092":5,"75174305":[],"75191717":26,"75240336e":[],"75268791":[],"75269037":27,"75282841":[],"753":[],"75301638e":[],"75309058":[],"75315452":[],"7532":[],"75354069":[],"75377872":26,"754":[],"75406265":[],"75457798":[],"75472506":[],"755":[],"75525377e":[],"75546705":[],"75563845":[],"75576092":[],"75576555":27,"756":[],"75627883":[],"756279":[],"75631027":[],"756352":27,"757":[],"757019617707678":[],"75707243":[],"7571572558830478":[],"75719828":[],"75770568":27,"758":[],"75821358e":[],"75823753e":[],"75848064":[],"7588118737641243":[],"759":[],"75963425":[],"75979803e":[],"75m":[],"76":[9,24,26],"7600134536106469":[],"76004012":[],"76010633":[],"76014528":[],"760154":5,"76015446":5,"76059447e":[],"76071777e":[],"76075617":[],"76077707e":[],"76084455":[],"76097737":[],"761":[],"76135601":[],"7613959":[],"76174289e":[],"76181397e":[],"762":[],"76206763":[],"76220793e":[],"76274779":5,"763":[],"7635689":[],"76366462":[],"7640203256838339":[],"7644":[],"764997683364458":[],"765":7,"7651068":[],"76577552":26,"7659922":[],"766":[],"7664107":[],"7671587":26,"76771975":[],"767750":[],"76775004":[],"769":[],"7692307692307693":9,"76936315":5,"7694444444444445":[],"76954723":[],"7696":[],"7697":[],"7698352":[],"76985203":[],"76m":[],"77":[9,24,26],"770204":[],"77025447e":[],"77067609":[],"7707199":[],"77079389e":[],"77117804e":[],"77124043":[],"77124395e":[],"77133246":[],"77152076":5,"77155539":18,"77172582":[],"7718":9,"77184871":[],"772":[],"77203046":[],"77265448":[],"77265782":[],"773":[],"77312796":11,"773128":11,"77325382":[],"77343022e":[],"77359835":26,"774":[],"7742213":[],"77448317e":[],"774553354452195":[],"7748567":[],"775":[],"77589027":[],"776":[],"7761":[],"77615813":[],"77632628":[],"77636e":13,"77646856":[],"77669775":[],"777":[],"77714169":8,"7779287093124035":[],"77794957":[],"778":[],"77805840e":[],"7782028952":4,"77856932":[],"7788":[],"779":[],"77908137":26,"77m":[],"78":[],"780":[],"78009660e":27,"78031111e":[],"7803213":[],"78094722":[],"78156479e":5,"78177713":[],"78177874":18,"78184120e":6,"78192446e":[],"782":[],"78220032":[],"78299706":[],"783":[],"78316665":[],"78345878":26,"78347558":[],"784":[],"7840642":[],"7842452":26,"78427913":18,"78449688e":[],"78459969":18,"78478186":[],"785061":[],"78515112":[],"78521833":[],"78524451e":[],"78556129":[],"786":[],"7865355":[],"78669458":23,"78672237e":[],"78724182":[],"788":[],"78834469":[],"788388":[],"78838813":[],"78882958":[],"78886274":[],"789":[],"7893215781870513":[],"78941903":5,"78944094":[],"78951443":[],"78989003e":[],"78m":[],"79":[],"790":[],"79009118":[],"79035184":[],"7906583":[],"79072516":[],"791":[],"79106945e":[],"79111643":5,"79125269":[],"79142002":[],"79161356":[],"79167312e":[],"791809":[],"792":[],"79254918e":[],"79256181":18,"792898603630095":[],"79297948":[],"793":[],"793167":27,"79328516":[],"79367372":[],"79375465":[],"794282":[11,27],"79463805":23,"79473273":18,"79482449":[],"794906":[],"79490641":[],"795":[],"79503422":[],"79516409":[],"795225339396409":[],"79529368":[],"79550688e":[],"79578306":[],"79595791":[],"796":[],"7966":[],"79675445":[],"797":[],"79754897e":[],"79787771":[],"797e":6,"798":[],"7980":[],"79831624e":[],"79835897":[],"79877535e":[],"79896478e":[],"799":[],"79909592":[],"79914677":[],"7993408651198877":[],"79934087":[],"7995707762668065":[],"79981535e":[],"79998516":[],"79m":[],"7d7d58":[9,10],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,23,26,27],"80":[0,1,5,6,8,9,27],"800":[4,7],"8000":[],"80006130e":[],"80038919":18,"800407897050107":23,"8004079":23,"80074264":[],"80076024e":[],"80101942":13,"80136087":[],"80152684":[],"80180325":0,"80189569":[],"80203363e":[],"80207897":[],"802267":5,"80226723":5,"80228781e":[],"802550782087107":[],"80289543":[],"8028954343792245":[],"803":[],"80312429":[],"80354994":6,"80389541":[],"804":[],"80418542":[],"80419748e":[],"80447153":[],"80460179":[],"80469739":5,"805":[],"80540415e":[],"80548430e":[],"8055555555555556":1,"80589357":[],"80609615e":6,"80609616e":6,"80621648":[],"80625657":[],"80669838e":[],"807":[],"808":[],"80802836":[],"80847477e":6,"80861057":[],"808611":[],"8087144":[],"80946326":[],"80m":[],"81":1,"81048318e":6,"81071342":[],"811":[],"81112337":[],"81114345":[],"81122914":[],"8115":[],"81160425":5,"81175543":[],"812":[],"81233249":[],"81243166":13,"81268342":[],"81307569":[],"81333804":6,"813929":[],"81392948":[],"814":[7,9,11],"81425332":[],"815":[],"81597834":[],"815am":[24,26],"81633628":11,"816454":27,"81651921":[],"81664404":[],"816847":27,"817":[],"81753152":[],"81759234":[],"81784973":[],"818":[],"8182":[],"81840893":[],"81853487e":[],"8186717":[],"81868633":[],"81873184":[],"819":[],"81948868":[],"81953844":[],"8197":[],"81990111":[],"81m":[],"82":[],"820":[],"82001111":[],"820122":[],"82012236":[],"82029869":[],"82032378":[],"82050873":[],"82084195":[],"821":[],"82102668":[],"82139086e":[],"82178144":[],"82198978":5,"822":[],"82292185":[],"82296251":[],"823":[],"8237254":26,"82379443":[],"824":[],"82402448":[],"82410428":[],"8249367":[],"825":[],"82550815":[],"825607":[],"826":[],"82602592e":[],"82629718":[],"82651934e":[],"8265786":5,"827":[],"82717721":[],"827462":[],"82766482e":[],"82781715":[],"828":[],"8283245":[],"82843726":26,"82894312":[],"829":[],"82909728":[],"82988221":[],"83":[],"830":[],"83009076":[],"8305555555555556":[],"8306":[],"83091912":[],"831":[],"8311393813043355":[],"83140314":[],"83140314044099":[],"83146596":[],"83167477":[],"83190841":[],"832":[],"83283826":[],"83298727":[],"832987270767667":[],"832m":[],"833":[],"833774":[],"83384573":[],"834":[],"8342":[],"83443463":[],"83443698":[],"83446313":[],"83471014":[],"83488328":[],"835":[],"83505053":[],"83509815":[],"8351":[],"83512277":5,"83519995":[],"8353591":[],"836":[],"83603568":[],"83607342":[],"836085":26,"836186":[],"83618601":[],"83646135":[],"83657122":[],"83691029":23,"837":[],"83716603":[],"83752888e":[],"83770406":[],"83774539":[],"83793362":[],"83793923":[],"838":[],"8383548":[],"83870794e":[],"839":[],"83909743":[],"83917436e":[],"839818":[],"83m":[],"84":[],"840":[],"84061976":[],"84082439":[],"84094234":[],"841":[],"84132082":[],"84143964":18,"84159521":[],"842":[],"842101":[],"84210141":[],"842436":27,"84256187":[],"84257054":[],"84268865":[],"84290819e":[],"843":[],"84355903e":1,"84359332e":[],"84380376":[],"843873":[],"844":[],"84421309":[],"84443254e":1,"84444399":[],"84447599e":[],"84462849":[],"84495995":[],"845":[],"845387":[],"84538739":[],"845716766413386":[],"84571677":[],"84575663":[],"8459616":[],"846":[],"84614892":[],"8461538461538461":9,"84638256":[],"846383":[],"84666445":[],"84671508":[],"84698999":[],"847":[],"8470287":[],"84737694":26,"84780262":6,"84783351e":[],"8478361":[],"848":[],"84835621":[],"84846601":[],"84856859":18,"84858":[],"84859258":[],"849":[],"84900747":[],"84923989e":6,"84927263":[],"84929103":[],"849315":[],"84931504":[],"84942247e":[],"84991754":[],"84994524":5,"84m":[],"85":[1,9],"850":[],"850164":5,"85035714":[],"85067652":18,"8509716":[],"851":[],"85115237":[],"85144525":18,"85159661":18,"85185762":11,"85193598e":[],"852":[],"8522997":[],"8524":[],"85263220":6,"85276246":[],"85278920e":5,"8528":[],"85288931":[],"85297050e":[],"853":[],"85355539":[],"85365229":[],"853835":[],"854":[],"85456249":26,"85466682":[],"855":[],"85514104":[],"8554451":[],"85548858":[],"856":[],"85600299":[],"85601654":[],"85601992":5,"85615662":[],"85640706e":[],"85654993":[],"85714286":[],"8574":[],"85759522":[],"858":9,"85813693":[],"858185":[],"85824275":[],"8583333333333333":[],"858357":11,"85835723":11,"85857332":23,"85888897e":[],"859":[],"85910255":[],"85949635":[],"86":[],"860":[],"86012593":[],"86015267":[],"860303069807892":[],"86052354":[],"861":[],"8611":[],"86117291":5,"86134827":5,"86145244":11,"86156954":[],"861676":[],"861773":[],"86177342":[],"86192438":[],"862":[],"86221134":[],"86252988":6,"86282204":[],"863":[],"86341536":[],"8635085":[],"86376300e":[],"8638888888888889":[],"864":[],"86420934":[],"86452742":[],"865":[],"86528733":13,"86544433":[],"86570776":[],"86592590e":[],"86599003e":[],"866":[],"86619181":[],"86629645":[],"86630":9,"8666666666666667":[],"86666667":[],"867":[],"86750237e":[],"868":[],"86810":9,"86811569":[],"86830766e":[],"86850693":[],"86850963":[],"86852099":[],"8688":[],"869":0,"86901486":[],"86906683":[],"87":9,"870":0,"8702764":[],"8702784034":4,"87043345":[],"87072815e":27,"870856":11,"87085636":11,"871":0,"87134207":[],"87135280e":[],"87196574":[],"872":[],"87200322e":[],"87206824":[],"87211615":[],"8722222222222222":[],"87242312":[],"8727831":[],"8729107":[],"873":0,"87338811e":[],"87354403":[],"8736902":18,"87381451":5,"87386332":[],"87391702e":[],"874":0,"87403627e":[],"87431418":[],"87450434":[],"87458904":[],"8747":[],"87477172e":[],"87496787":[],"87499269":18,"875":[],"87533278":[],"87533326":[],"875794":[],"875856":[],"87585634":[],"8759":13,"876":6,"87604059":18,"87627342":[],"877":[],"877168286047408":[],"8773885":[],"87795661":[],"878":[],"87810129":[],"878123":[],"8784267":[],"879":[],"8791492":[],"87918262":[],"87931006":[],"87953769":[],"87964097e":[],"88":[0,13,26],"880":[],"88046261":5,"88050263":[],"8805555555555555":[],"88088818e":[],"881":[],"88168168":26,"88168312e":6,"881720":5,"88172029":5,"88182591":27,"882":[],"88228452":[],"88291866":[],"88292369":18,"883":[],"88305878":[],"88323026":27,"88336879":5,"88364362":[],"88391015":[],"88395664":[],"884":[],"8840647":18,"884399":[],"88442538":[],"884669":27,"88473534":[],"885":[],"88529063e":6,"88570382":26,"88595314":[],"886":[],"88613493":27,"88623007e":[],"88657125":[],"88667234e":[],"887":[],"88744469e":[],"88754562":23,"888":[],"888214":[],"88821402":[],"888577549915147":[],"88866133":[],"88887574":18,"888883015934703":[],"8888888888888888":[],"889":[],"88901776":[],"88908909e":[],"88960586e":[],"8897518e":[],"89":9,"890":[],"89005305":[],"89098129":[],"891":[],"89126914e":27,"89142357":[],"89142728":[],"8915573":[],"89184354":[],"892":[],"89273223e":[],"89288636":11,"89292804":26,"893":[],"89321335":[],"8932215":[],"8934":[],"894":[],"89410423":5,"8942133":[],"8944444444444445":[],"89454132":[],"89462507":[],"89481038":[],"8948621306998614":23,"895":[],"89558707":[],"89564974e":[],"896":[],"89604286":[],"89609007":[],"8964059":[],"89670222":[],"89686618":[],"896911":[],"8969113":[],"897":[],"89707309e":[],"89793609":[],"898":[],"89805982e":[],"8982":[],"89823921":[],"89881513":[],"89897156":[],"899":[],"89940861":[],"899444949551402":23,"89976047":[],"89996783":[],"8f":6,"8g":6,"8n":18,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,18,22,23,24,26,27],"90":[1,6,9],"900":[],"9000":[],"90018622e":[],"90027459e":[],"90075537":5,"901":[],"9011":6,"9012691":[],"90164278":[],"902":[],"90220243":5,"90223115":[],"90228807":26,"90239437":[],"9026":[],"90266948":5,"9027777777777778":[],"9028":[],"90297441":[],"903":[],"90325763":[],"90343239":[],"9036573":[],"904":[],"9040":9,"90414392":[],"904648525660773":[],"90475506e":6,"905":[],"9050595316983907":[],"90510842":[],"9054":[],"9055555555555556":[],"90556496":[],"906":[],"90602444e":[],"90604454":26,"90612093e":[],"90670236":[],"906747":5,"907":[],"90715001":[],"90763970e":[],"90793019":[],"908":[],"90803422":[],"90854751":[],"908548":[],"90871918":[],"908736":[],"90873644":[],"90876452":[],"908765":[],"90884438e":[],"909":[],"90911719":[],"909327":[],"90960269":[],"91":[24,26],"910":9,"91022359":[],"91050344e":[],"91071448":[],"91080327":[],"91086026":[],"911":[],"9111111111111111":[],"91128596":5,"912":[3,4],"91210472":[],"9129629":[],"913":[],"91358019":[],"91373404":[],"914":[3,4],"91408373e":[],"9142491":[],"91438463":[],"9145":[],"91471524":18,"91473433":[],"91487049e":[],"91492986e":6,"915":[3,4],"91514067":5,"915141":5,"91538877":[],"91540705e":[],"91581662":[],"915888":23,"91591367":[],"916":[],"91619855":[],"91634595":[],"91650774":[],"916508":[],"9165822":[],"9166666666666666":9,"9167":[],"91699467":[],"917":[3,4],"91700604":[],"9172":[],"9173859":23,"917482":[],"91748202":[],"91760278":5,"91784246":[],"918":[3,4],"91812702":5,"91816586":[],"918166":[],"91855299":[],"9189726":[],"918992":27,"919":[],"9194":[],"91966064":[],"91970243":[],"91992985e":[],"92":[6,9,24,26],"92054587":[],"920619":[],"92063704e":[],"92067658":[],"9207":[],"9208878":[],"92098926":[],"921":[],"92103867":[],"92123586e":[],"921368":[],"92136836":[],"92153252":5,"921533":5,"921567":[],"922":[],"922002":[],"92200223":[],"92201062":[],"922010623244745":[],"92213792e":[],"92236466e":[],"92241867":26,"92293994e":[],"923":[],"9230769230769231":9,"92317667":[],"92327822e":[],"9234":[],"92351924":[],"923602":[],"924":[],"92405283":[],"92419995":[],"924e":6,"925":[],"9250":[],"92507116e":1,"92526882":[],"92543216":[],"92576742e":[],"92578916":5,"92579609e":[],"926":[],"92604308":[],"92630576":[],"92643252":[],"926488923435684":[],"92648983":[],"92651068":[],"927":[],"92717417":[],"92729959":[],"9275":[],"92772833":[],"9277777777777778":[],"928":[],"92805329":[],"92822216":[],"92857143":7,"9286":[],"929":[],"92930426e":[],"9295763474254684":[],"92991719e":[],"92998014e":[],"93":[],"930":[],"93003138502386":[],"93018185":26,"93022647":[],"93037027":18,"93049763":[],"9305555555555556":[],"93082209":[],"930829":[],"93082933":[],"931":[0,26],"93137583":[],"93145755":[],"93155188":5,"93158979":5,"932":[],"932656":[],"93267138892912":[],"93267139":[],"933":5,"93333333":[],"93363269":[],"934":[],"93420126":[],"93482217":[],"93492130e":6,"935":[],"93500562":[],"93528653e":[],"93535577":[],"93571082":[],"93575624":26,"936":[],"93601008e":27,"93626155":5,"936262":5,"936313":[],"9363131":[],"937":23,"937082":27,"93710544e":[],"93799826":5,"938":23,"93820524":[],"93828592e":[],"9384":[],"9387":9,"93873645":[],"93884803":[],"9389615":[],"939":[0,23,26],"93900613":[],"93901621":[],"93944615e":[],"939507":[],"93988393":[],"94":[7,9,23],"940":[],"94035843":[],"941":[],"9415":[],"942":[],"94226022e":6,"94230225":[],"9423652864980914":[],"942422095469182":[],"9424428e":[],"94246006":26,"94256677":[],"94260358":[],"942604":[],"94273542":27,"94280548":[],"94284104":5,"943":[],"94320205":5,"94338159":[],"943439":[],"94399217":[],"944":[3,4],"94400087":[],"94433302e":[],"9444444444444444":1,"94466321":[],"94484047e":[],"945":[3,4],"94501598e":[],"94578579":[],"94589469":[],"94591015":[18,26],"946":[3,4],"9460":[],"94610136":[],"9461173":23,"94611730275583":23,"94639099":11,"94642209":[],"946957":5,"94697839":[],"947":[3,4],"9472":[],"9472222222222222":[],"94727053e":[],"94756925":[],"94759672":26,"94782102e":[],"94785447e":[],"948":[3,4],"94814932":[],"94815131":[],"9481513127527335":[],"94822514":6,"94823368":[],"9482527":5,"94854992":[],"94866246":[],"949":[3,4],"949162":[],"94916237":[],"94938706":[],"94948363e":[],"949807":[],"94980712":[],"9499":[],"95":[1,7,9,11],"950":[3,4],"95008046":6,"9503219":[],"95055425":[],"951":[3,4],"951109":[],"95115279":[],"95117099":[],"95166414":[],"95190644":[],"952":[],"9520":[],"95231424":5,"95235306":[],"952387":27,"9527777777777777":[],"9528":[],"95284275":5,"953":[],"953065564":1,"95327702":[],"95329348":[],"9534":[],"95344302":26,"95351665":5,"95355327":[],"954":23,"9541":[],"9541100061668464":5,"95429024":[],"955":[],"95508909":[],"95511792":27,"955118":27,"95513615":[],"95534385":18,"9555555555555556":[],"95558642":[],"95558887":[],"9556":[],"955820c21e8b":4,"95597666e":[],"956":[],"956563":[11,27],"95661705":[],"95679388":[],"95682858":[],"95684892":5,"95686268":[],"95696156":[],"95697233e":[],"957":[],"95703":13,"95746721":[],"95762994":[],"95763525":[],"9577228":[],"9578":[],"958":[],"95815651":[],"958228616652075":5,"9588":[],"959":[],"95921115":[],"959402":[],"95940231":[],"95982273":[],"959839":11,"95983949":11,"95984465":18,"96":[1,6,7,9,11],"960":23,"9601304850035702e":6,"960130485007504e":6,"96019951":[],"96024953":5,"9603":[],"96033509e":[],"96042508":[],"96046928":[],"96079426e":[],"96084663":5,"96087803":[],"961":23,"96183456":[],"962":23,"96228836":23,"962653":[],"962990":[],"963":[],"963198":[],"9637117593816477":6,"96388867":11,"963889":11,"964":[],"9640435":5,"96438655":23,"96439516":[],"964588":[],"96459246":[],"96461989e":[],"96489054":[],"9649652536":4,"965":[],"96525482e":[],"965295":5,"96543101":[],"965548":27,"96574402e":[],"965944":[],"96599594":[],"966":[],"96611032":[],"96618584":[],"96631321":27,"966337":[],"96649164":[],"96688672":5,"966899":[],"967":[],"9674":[],"9674916":5,"96750421":[],"967809":[11,27],"96783837":[],"968":[],"96804366":[],"96841776":[],"96850702":[],"96852109":[],"96856697":[],"96861187":[],"96863656":18,"9688":[],"96890557e":[],"969":[],"96911909":[],"96932041":23,"9694":[],"9697031":[],"97":7,"970":[],"97005689":5,"97032289":[],"97033646e":[],"97062694":[],"97069774":[],"970698":[],"97075378":[],"97097196":[],"971":[],"97108e":13,"97135613":26,"9716":[],"97161341":26,"97177697e":[],"97198474":[],"972":[],"9722222222222222":[],"9723":[],"97243128":5,"97262227":[],"97266041":18,"972745":[],"973":[],"97300836":5,"97320866":11,"973209":11,"97326759":[],"97346886":[],"97375628":[],"9738062":23,"974":[],"97449977":[],"97488151":[],"97497404e":6,"975":[],"9750":[],"97504526":[],"97507735":5,"97514104e":[],"97555188":18,"97565845e":[],"97593541":26,"97594511":[],"976":[],"97606135":[],"97606135399951":[],"97624609":18,"9764":[],"97644118":[],"9765":[],"97663980e":[],"97690235":[],"977":[],"97702512":18,"97705827":5,"97739698":[],"97758848":5,"97761429e":[],"9777777777777777":[],"9778":[],"97784379":18,"978":[],"9780387310732":25,"9780387848570":25,"97804446":[],"9781098134174":26,"9781492032632":25,"9781492041931":[],"9781801819312":26,"9783319210079595":[],"978553":5,"97861433":[],"97864285":[],"97866042":[],"97879245":[],"97898392":[6,27],"979":[],"9790209790209791":[],"97906022e":27,"97926491":5,"97939372":[],"97948913":[],"9797317":[],"97991527":[],"98":[0,1,7,9],"980":9,"98004227":[],"9805555555555555":[],"9807":6,"98073929":[],"98091621":5,"981":[],"98127617":[],"981321":27,"98139097":5,"98157799":[],"98180203e":[],"982":[],"98201379":[],"98215566e":[],"982252":11,"98225665":[],"9824638":[],"98270777e":[],"98275501":5,"982829":[],"983":[],"98316168":[],"98320492":[],"983310":27,"984":[],"98401894e":[],"98404993":[],"98409646e":[],"98413020e":[],"98413059":5,"984182":[],"98418221":[],"98430782":[],"984308":[],"98454786":5,"984601":[],"98460101":[],"9849967686928113":[],"985":23,"98502634":[],"98566191":5,"98597638":[],"98598055":[],"986":23,"98601306":[],"9860553":[],"9861111111111112":[],"98620879e":[],"986699":5,"98680716":5,"98686102":[],"98694705":[],"987":[],"98706221":[],"98716878":5,"9871776311306221":[],"98764765":[],"987648":[],"98765625":[],"987722":[],"98772232":[],"988":[],"98808176":5,"98822371":6,"98844754":[],"98849276":18,"9885":[],"9887034589972739":[],"9888005551376943":[],"988835":[],"9888544725633199":[],"9888888888888889":[],"9889":[],"989":23,"9890348":5,"98904365":26,"98904619":[],"98914003":[],"9892":[],"9893447":5,"98947894":27,"9898ff":[9,10],"99":[1,7,9,11,13],"990":9,"99006712":[],"99009525":5,"990171109310765":23,"99017111":23,"99051150":6,"99083639":[],"99084226e":[],"99088801":5,"9908934":[],"991":23,"9910":[],"99106686":[],"99115119":5,"9915165982451293":[],"991753":[],"99175336":[],"99176998":5,"9919":[],"992":23,"99215828":[],"9924":[],"99242921":5,"99246148":[],"99265097":5,"99267755":[],"99268332":[],"993":23,"9930":[],"993148":[],"99316252":5,"99322932e":[],"99330715":[],"99344165e":[],"993463":11,"99346318":11,"9935551267466322":[],"993658072083743":[],"99371056":5,"99377492":[],"99389612":5,"993993":[],"99399301":[],"99399308":[],"99399309":[],"99399315":[],"994":[],"9940253773173835":[],"99418976":[],"994304":[],"9943201":5,"99439119":[],"99450177":[],"994502":[],"9945729062189713":[],"99465516":23,"9947756":5,"99484719":[],"9948937588794076":[],"994910550643694":27,"99492986":5,"9949909770903465":27,"995":[],"9950597269547777":[],"99520433e":[],"9952222065466447":[],"99523653":[],"9952638231265687":[],"99528218":5,"99534399":[],"99539415":5,"9955273625597437":[],"9955500279779226":[],"995597266739957":27,"99566069":5,"9957273060382023":[],"9957793953467874":[],"99578809":5,"9958":[],"995840825550726":[],"9958543328528107":[],"9958824304846606":[],"99589367":[],"9958946686888259":[],"9959044445566834":[],"995998835818754":23,"996":5,"99608161":5,"9961996615568259":[],"99630114":[],"9963311287748658":[],"9963961":5,"99650061":5,"9966579875073338":[],"996738628265756":[],"9967458":5,"9969332511584248":[],"99700706":5,"99709215":5,"9972493421341901":[],"99729756":5,"99751458":5,"99752738":[],"99754609":[],"99758326":5,"9976639055733267":[],"99767262":[],"99772199":[],"99775587":5,"9978":[],"9978254":[],"99784051":[],"99793613":5,"99799099":5,"998":[],"9981":[],"99813653":5,"9981377":[],"99828624":5,"9983295":5,"99845267":5,"99854557":27,"998577":5,"99858411":[],"9986":[],"99861053":5,"99861427":[],"99862019":27,"99866581":[],"99869482":27,"99871521":5,"99876055":[],"99876945":27,"99881845":5,"99883628":27,"99884384":5,"99884409":27,"99888222":[],"9988867":[],"99891093":27,"99891873":27,"99893323":5,"99897733":[],"99898558":27,"999":[9,23],"99901896":5,"99903755":5,"99906023":27,"99907985":[],"99911427":5,"99912709":27,"99913489":27,"99918546":5,"99919837":5,"99920175":27,"99926459":5,"99927642":27,"9993237":5,"99932732":[],"99933188":5,"99933329":[],"9993511":27,"9993736":[],"99938942":5,"99941797":27,"9994385":5,"99944037":[],"99944272":5,"99949077":[],"99949266":27,"99949306":5,"99951642":[],"99953381":5,"99953475":5,"99956735":27,"99957911":5,"99961294":5,"9996357":[],"99965056":5,"99966322":[],"99966842":[],"99967865":5,"99970894":27,"99970988":5,"99972468":[],"9997332":5,"99975913":5,"99976935":[],"99977849":5,"99978365":27,"99980002":5,"9998161":5,"99984215":[],"99984732":5,"99985103":[],"9998542":[],"99986253":[],"99987324":5,"99988325":[],"99988697":[],"99989476":5,"99991263":5,"99992263":[],"99992746":5,"99993978":5,"99995":5,"999955585168597":6,"99998193":[],"99998703":[],"99998899":[],"99999773":[],"99999797":[],"99999956":[],"99999985":[],"9m":4,"9x":[6,19],"9y":[6,19],"\u00f8yvind":[6,27],"\u03b4":[],"abstract":[1,21],"boolean":4,"break":[0,4,6,11,14,26],"byte":[18,26],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,17,18,19,20,21,26],"catch":0,"class":[0,1,3,4,6,7,8,9,11,12,13,23,26],"default":[0,1,2,4,6,7,13,16,18,19,20,26,27],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,19,20,21,26,27],"ekstr\u00f8m":4,"export":9,"f\u00f8470":[24,26],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,19,21,22,23,24,26],"float":[0,3,4,5,9,11,13,14,18,26,27],"function":[2,3,4,5,9,14,15,16,17,18,21],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,23],"int":[0,1,2,3,4,5,6,11,13,14,18,23,27],"l\u00e6ring":[],"long":[0,1,3,4,12,13,26],"m\u00f8svatn":[6,19],"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,18,19,21,26,27],"null":[],"public":[0,17,26],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,18,19,23,26,27],"sch\u00f8yen":[6,27],"schr\u00f6dinger":[],"short":[4,5,19,20,21],"super":[3,5,27],"switch":0,"throw":[3,6,23],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,19,20,23,26,27],"try":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,26,27],"var":[1,5,6,10,11,13,19,23,26,27],"while":[0,1,3,4,5,6,7,8,9,11,12,13,23,26,27],A:[2,3,5,6,7,10,11,12,13,16,17,18,19,20,21,22,23,24,25,27],AND:2,And:[0,3,4,5,6,9,13,17,19,20,21,23],As:[0,1,2,3,4,5,6,8,10,12,13,16,18,19,20,21,23,26,27],At:[0,4,6,13,19,26],BE:[0,26],Be:[2,17,26],Being:13,But:[0,1,2,3,5,6,9,10,20,23,27],By:[0,3,5,6,12,13,18,26,27],FOR:[],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26],IF:6,IN:25,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,26,27],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,25,26,27],Is:11,Ising:[5,12,27],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,23,26,27],Its:[1,2,4,11],NO:[7,9,11],No:[3,4,6,9,26],Not:[0,1,5,6,27],OR:23,Of:23,On:[0,3,15,22,23,24,25,26],One:[0,1,3,4,5,6,7,8,11,12,13,19,23,27],Or:[0,1,6,19,21,26],Such:[0,6,12,16,23],TO:[],That:[0,5,7,10,11,12,14,19,21,23,26],The:[4,10,13,14,15,16,18,19,20,22,23,24,25],Their:[],Then:[0,1,6,8,9,10,11,12,13,14,18,19,21,26],There:[0,3,4,5,6,8,9,11,12,14,18,19,22,23,24,26,27],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,26,27],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,20,23],With:[0,5,6,8,9,10,11,12,14,18,19,20,23,26,27],_0:[5,8,10,11,13,27],_1:[2,5,6,8,10,11,12,13,14,18,27],_2:[2,5,8,11,12,13,18,27],_3:18,_4:18,_9:13,_:[0,1,2,4,5,6,7,8,9,10,11,12,13,18,19,26,27],_________________________________________________________________:4,__call__:[3,4],__class__:10,__del__:[],__doc__:6,__future__:[8,9],__getattr__:[],__getattribute__:26,__getitem__:[],__init__:[1,3],__main__:2,__name__:[2,10],__traceback__:[3,4],_accessor:26,_accuraci:[],_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,18,23,27],_auto2:[2,3,4,5,6,12,13,18,23],_auto3:[3,4,5,6,12,13,18],_auto4:[4,6,12,13,18],_auto5:[4,6,12,13,18],_auto6:[4,6,12,18],_auto7:[4,6,12,18],_auto8:[6,12],_auto9:[6,12],_backpropag:[],_base:8,_build:[0,17,19,25,26],_build_call_output:[3,4],_c:1,_call:[3,4],_call_flat:[3,4],_can_hold_identifiers_and_holds_nam:26,_check_for_error:[],_check_optimize_result:[7,9,11],_compon:11,_compute_scor:[],_coordinate_desc:6,_decor:0,_depth:9,_distn_infrastructur:[],_eagerdefinedfunct:[3,4],_extract_window:[],_feedforward:[],_fmt:[],_format:[],_fraction:9,_gb:[],_h:[],_handl:[3,4],_i:[0,1,2,5,6,7,8,11,12,13,15,16,19,26,27],_inference_funct:[3,4],_info_axi:26,_initialize_scor:[],_initialize_weight:[],_interpolatefunctionerror:[3,4],_j:[0,1,2,3,5,6,8,13,19,27],_jit_compil:[3,4],_k:13,_l:12,_lambda:[6,26],_leaf:9,_lock:[3,4],_logist:[7,9,11],_m:10,_make_vjp:13,_maybe_define_funct:[3,4],_multilayer_perceptron:[],_n:[2,5,8,11,13,27],_node:[9,13],_notokstatusexcept:[3,4],_num_output:[3,4],_o:[],_p:[5,8,27],_pad:[],_process_traceback_fram:[3,4],_progress_bar:[],_r:[3,4],_ratio:11,_reset_schedul:[],_reset_weight:[],_reset_weights_independ:[],_sampl:9,_select_forward_and_backward_funct:[3,4],_set_classif:[],_set_pred_format:[],_split:[6,9,19],_src:[],_stateful_fn:[3,4],_stateless_fn:[3,4],_t:13,_test:[6,19],_trace:13,_unpad:[],_valu:13,_varianc:11,_weight:9,a0:3,a0faa0:[9,10],a1:[0,26],a2:[0,26],a3:[0,26],a4:[0,26],a_0:[0,20,26],a_1:[],a_1a:[0,26],a_1x:20,a_2:[],a_2a:[0,26],a_2x:20,a_3:[0,26],a_3a:[0,26],a_4:[0,26],a_4a:[0,26],a_:[0,1,16,18,26,27],a_h:1,a_i:[0,1,2,12,26],a_j:[1,12],a_k:[0,1,12],a_matric:[],a_matrix:[],a_previ:[],aaron:25,ab:[0,2,5,13,14,26,27],ab_channel:17,abandon:1,abbrevi:22,abid:23,abil:[0,10],abl:[0,1,4,5,6,7,10,12,13,16,19,27],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,19,20,21,24],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,25,26,27],abovement:[6,26],abs_eek2t0c4ro:[],abscissa:13,absolut:[0,2,5,6,13,26,27],absorb:27,acceler:13,accept:[0,3,6,9,19,26,27],access:[0,3,11,23,26],accid:[4,6],accompani:[0,26,27],accomplish:[8,9,13],accord:[0,1,2,5,6,9,12,13,14,15,16,23,26],accordingli:11,account:[0,3,5,13,15,23,26],accross:[],accumul:[12,13,23],accur:[0,3,4,6,10,13],accuraci:[0,1,3,4,5,6,7,9,10,11,12,20,21,26,27],accuracy_scor:[0,1,10,26],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,18,26],aco:23,acquaint:17,acquir:[1,17,26],acr:0,across:[1,3,6,9,17,26],act:[1,3,18],act_deriv:[],act_func:[],act_func_deriv:[],action:23,activ:[0,2,3,4,9,21,22,24,26],activation_deriv:[],activationfunct:[],actual:[0,1,4,5,6,8,11,16,18,23,26,27],ad:[1,3,4,5,8,13,15,16,18],ada_clf:10,adaboostclassifi:10,adadelta:13,adagrad:20,adagradmomentum:[],adam:[1,3,4,20,24,26],adam_schedul:[],adapt:[4,6,13,25],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,19,20,23,26,27],add_convolution2dlay:[],add_flattenlay:[],add_fullyconnectedlay:[],add_lay:[],add_outgrad:2,add_outputlay:[],add_poolinglay:[],add_subplot:[1,7,12,14],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,18,19,21,23,24,25,26,27],addition:[12,13],address:[1,9,11,13,26],adequ:[],adjac:[3,12],adjoint:[5,27],adjust:[0,5,12,13],admin:[],admir:[0,26],adopt:[],advanc:[4,6,12,25,26],advantag:[1,3,5,6,10,13,18],adversari:26,adversi:[],afecionado:26,affect:3,affin:[0,3,8,11,27],afford:3,aficionado:26,aforement:14,african:0,after:[0,1,2,4,5,6,9,11,12,13,15,17,18,19,20,21,23,26,27],afterward:[0,26],ag:[0,7,22,26,27],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,19,20,23,26,27],against:[1,4,7,10,20],agegroup:7,agegroupmean:7,agent:[],aggreg:[9,10],ago:[],agorithm:10,agre:[5,6,23],agreement:13,ahead:9,ai:[0,20,25],aid:11,aim:[0,1,4,6,7,11,14,15,16,17,18,19,20,21,27],ainv:5,air:[],airplan:3,aka:5,al:[0,2,4,15,16,20,21,25,26,27],alan:[],alarm:[5,7],albeit:[],aldo:27,algebra:[0,3,5,13,17,27],algorithm:[0,1,2,4,5,6,7,8,13,14,17,18,19,21,23,25,26],algortihm:[],align:[0,2,5,6,7,8,13,19,23,26,27],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27],allevi:[1,13],alloc:[3,18],allow:[0,1,2,3,5,6,8,10,13,15,16,17,18,19,21,26,27],almost:[0,1,6,8,11,13,21,23],alon:[2,9],along:[2,3,4,5,6,9,10,11,17,18,21,26,27],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,23,26,27],alpha_0:3,alpha_1:3,alpha_2:3,alpha_:10,alpha_i:[3,13],alpha_k:13,alpha_m:10,alpha_n:3,alpha_opt:13,alphago:[],alreadi:[2,3,4,5,6,10,12,17,18,23,26,27],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,27],alter:1,altern:[0,1,4,5,6,7,8,9,11,13,18,19,26,27],although:[0,1,5,6,8,10,13,16,21,26],alwai:[0,3,5,6,12,13,16,23,26,27],am:4,ame2016:[0,26],american:0,among:[0,3,5,9,10,12,18,21,26,27],amongst:5,amount:[0,1,3,4,6,8,10,14,17],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27],an_:23,anaconda:[0,1,15,17,19,21,26],analog:13,analys:[6,21],analysi:[1,3,4,7,14,15,16,18,21,25],analyt:[2,3,5,6,7,12,13,15,17,19,20,21,26,27],analytical_gradi:[],analyz:[0,1,3,4,5,6,16,19,20,23,27],andrew:1,angl:[0,3,9,27],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,23,26,27],anim:[4,12],ann:12,anneal:[],annot:[0,1,3,7,8,26],announc:26,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,18,19,20,23,26,27],ans_vspac:[],ansatz:[0,26],answer:[0,1,3,5,6,18,19,20,21,24,26],antialias:[2,6,19],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,23],anytim:[24,26],apach:1,apart:[11,13],api:[1,17,26],appar:2,appear:[0,1,3,13,16,18,23],append:[1,3,4,8,9,13,26],appendix:19,appl:[3,4],appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,19,20,23,25,26,27],applic:[0,1,3,4,5,6,7,9,12,13,18,19,23,25,26,27],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,21,23,25,27],appropri:[2,6,9,12,13,17,23],approv:26,approx:[0,2,3,6,10,11,13,21,23,26],approxim:[0,1,2,3,4,5,6,7,10,11,13,19,23,26,27],apt:[0,15,17,19,21,26],aq:23,ar:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27],aragorn:26,arang:[1,3,4,6,7,9,10,12,13,19,26],arbitrari:[1,4,6,8,12,13,23],arbitrarili:[0,1,11,26],arc:[6,19],architectur:[3,4,12],archiv:20,area:[0,3,6,9,19,25,26],arg:[0,2,3,4,13],argmax:[1,11],argmin:[4,10,14],argnum:[2,13],argnum_0:[],argnum_1:[],args_with_tang:[3,4],argsort:11,argu:[1,13],argument:[0,2,3,5,6,11,12,13,19,26,27],argval:[],aris:[0,6,12,13,23,26],arithmet:[0,13,18,26],arm:6,armadillo:18,around:[0,1,4,5,6,11,23,26],arr:[],arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,19,23,27],arrang:[3,26],arraybox:13,arriv:[0,6,9,11,18,23,26],arrow:12,arrowprop:8,art3d:13,art:[0,1,15,17,26],articl:[0,3,4,6,10,20,21,26,27],artifici:[0,2,7,12,25,26],artificialneuron:12,arug:13,arxiv:[3,4,20],as_fram:[],asap:[],asarrai:[0,2,6,9,27],ashort:[],asid:27,ask:[5,6,11,12],aspect:[0,6,17,19,26,27],assembl:[0,3,26],assert:4,assertionerror:[],assess:[0,6,19,21,26,27],assici:4,assign:[0,7,8,9,12,13,14,22,24,25,26],associ:[0,6,9,12,14,23,26],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,21,23,26,27],assumpt:[0,3,5,6,9,11,19,23,26,27],assur:[],ast:[0,5,6,19,26],astronomi:26,astyp:[4,9,10],asymmetr:[],asymmetri:[0,26],asymptot:[4,6],async_wait:[3,4],atla:[],atom:[0,26],attempt:[0,4,6,7,8,10,26],attend:22,attent:[0,18,21,26],attr:[3,4],attract:[0,10,26],attractor:[],attribut:[0,9,13,20,21,26],attributeerror:[13,26],audi:[0,26],audio:[3,4],august:[15,16,26],aurelien:[0,15,22,25,26],austfjel:[6,19],author:[0,1,10,23],authour:26,auto:[6,9,10,23],autocor:23,autocorrelation_tim:23,autocorrelform:23,autocovari:23,autoencod:[4,17,26],autoencond:17,autograd:[17,20,26],autom:[0,17,25,26],automac:18,automag:26,automat:[0,1,2,3,4,11,16,17,18,26],automobil:3,autonom:4,avail:[0,1,4,6,10,11,15,17,18,19,20,21,22,24,25,26],averag:[0,1,3,6,9,10,13,14,23,24,26,27],avoid:[0,4,5,6,9,11,13,18,26,27],awai:[2,3,6,27],awar:[2,10],award:[24,26],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,19,20,21,26],axes3d:[2,6,13,19],axes_grid1:6,axessubplot:[],axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,19,23,26,27],axiom:5,axlabel:[0,26],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,23,24,26,27],b_0:0,b_1:[0,2,12,13],b_2:[0,13],b_5:13,b_:[0,1,18],b_group:9,b_i:[0,1,2,12,26],b_ia_:[0,26],b_ia_i:0,b_index:9,b_j:[1,12],b_k:[0,1,12,13],b_m:12,b_score:9,b_valu:9,babcock:26,bachelor:[22,24],back:[0,3,4,5,6,8,9,10,15,18,20,23,26,27],backbon:18,backend:[1,4],background:[21,25,26,27],backprogag:[],backpropag:1,backtrack:9,backup:18,backward:[1,2,4,12,18],backward_pass:2,backwardpass:[],bad:[6,27],badli:23,bag:[9,17,21,26],bag_clf:10,baggin:26,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:6,baluka:[],band:18,bandwidth:18,bar:[0,6,11,15,16,19,26],barber:25,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,17,23,24,25,26,27],basi:[5,7,8,10,11,12,13,18,27],basic:[6,8,12,13,14,17,19,23,26],batch:[3,4,11,12,13,20],batch_shap:4,batch_siz:[1,3,4],batch_typ:[],batchnorm:4,bay:7,bayesian:[5,17,25,26],beam:26,beat:[],beaten:[],becattini:24,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,26],beccatini:[],becom:[0,1,2,5,6,7,9,12,13,23,26,27],been:[0,1,2,3,4,5,6,11,12,13,17,18,19,20,21,26,27],befor:[0,1,2,3,4,5,6,7,8,12,13,14,18,19,20,23,26,27],beforehand:[0,23,26],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,19,23,24,26,27],behav:[1,6,13],behavior:[0,1,13,26],behaviour:12,behind:[0,1,6,8,13,26],being:[0,1,2,3,4,5,7,8,10,11,12,13,23,26,27],belief:[],believ:[9,18],belong:[7,8,9,13,14],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,20,21,23,26,27],benchmark:10,benefici:[1,13],benefit:[0,1,4,11,13,15,17,26],benefiti:[],bengio:[1,20,22,25,26,27],benign:[1,7,9],besid:[4,5],bessel:[5,27],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,19,20,24,26,27],best_estimator_:[],beta1:[],beta2:[],beta:[0,1,3,5,6,7,10,11,13,16,19,26,27],beta_0:[0,1,3,5,6,7,13,26,27],beta_0x_:[0,26,27],beta_1:[0,1,3,5,6,7,10,13,26,27],beta_1x_0:[0,26],beta_1x_1:[0,7,26],beta_1x_2:[0,26],beta_1x_:[0,26,27],beta_1x_i:[7,13,27],beta_2:[0,3,13,26,27],beta_2x_0:[0,26],beta_2x_1:[0,26],beta_2x_2:[0,7,26],beta_2x_:[0,26,27],beta_2x_i:27,beta_3:3,beta_3x_i:27,beta_4x_i:27,beta_:[0,3,6,7,13,26,27],beta_i:[0,3,5,26,27],beta_j:[0,5,6,13,19,26,27],beta_k:13,beta_linreg:13,beta_m:10,beta_mg_m:10,beta_n:3,beta_ol:[],beta_p:7,beta_px_p:7,beta_ridg:[],betaol:[],betaridg:[],betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,26,27],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,19,20,21,23,26,27],beyond:[0,1,5,6,8,13,19,26,27],bf:[13,14,18,23],bg:26,bgd:13,bia:[0,1,2,3,5,8,9,10,12,13,20,26,27],bias:[1,2,3,5,6,9,12,20],bias_index:[],big:[0,1,2,5,6,14],bigger:[1,6,27],bigr:12,bike:9,bilbo:26,billion:[3,12,17],bin:[0,7,23],binari:[0,3,5,7,9,10,12,20,26],binarycrossentropi:4,bind:[0,27],binomi:[17,23,26],binsboot:6,bioinformat:0,biolog:[1,12],biologi:[],bios1100:[17,26],bird:[0,3],birth:26,bishop:[22,25,26],bit:[1,4,18,23,26],bitwis:23,bivari:2,bk:[0,13],bla:[18,26],black:[8,9,14],bledso:[],blob:19,block:[6,10,17,18,23,26],blog:26,blogpost:4,blue:[0,3],bluntli:[],blur:[],bm:[],bmatrix:[0,1,3,5,7,8,11,13,18,26,27],bmi:1,board:[],bodi:[0,1,4,12,26],bold:1,boldfac:[0,5,16,27],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,19,26],boltzmann:[12,17,26],book1:25,book:[19,20,25,26,27],bool:[],boost:[1,9,17,21,26],boostrap:10,bootstrap:[1,13,17,19,20,21,26],border:[],borrow:26,boston_dataset:0,bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,17,18,19,20,23,24,26,27],bottl:7,bottleneck:[],bound:[0,8,12],boundari:[2,4,8,11,12,21],box:[4,9],boxed_arg:[],boyd:[8,13],bracket:[4,23],brain:[1,7,12],branch:9,breakthrough:[],breast:[5,7,11,20],breat:20,breviti:13,brew:[0,15,17,19,21,26],brg:8,brief:[19,20,21,27],briefli:[0,26],bring:[0,5,6,10,20,27],broad:[0,3,4],brought:[13,17,26],brownle:4,browser:26,brute:[3,5,11,27],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,18,23,26],built:[0,1,3,4,6],bunch:11,busi:0,byproduct:[],c1:[8,11],c2:[8,11],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,23,24,25,27],c_0:23,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,23],c_i:[12,13],c_j:[],c_k:23,ca:[1,26],cach:10,cal:[0,8,10,12,13,15,16,26],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,20,23,26],california:[20,21],call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,26,27],callabl:[3,4],callback:[3,4],calor:[0,27],cambridg:[13,25],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27],cancel:[0,13,26,27],cancellation_manag:[3,4],cancer:[5,10,20],cancerpd:7,candid:[8,9,10],cannot:[0,1,4,5,6,7,8,9,22,23,27],canopi:[0,15,17,19,21,26],canva:[19,20,21,26],cap:5,capabl:[0,1,8,13,17,26],capac:[2,24],capita:0,caption:[19,20,21],captur:[4,11,12],captured_input:[3,4],car:[3,4],card:[0,7,26],cardin:1,care:11,carefulli:13,carlisl:[],carlo:[0,6,17,23,25,26],carri:[2,6,7,19],cart:10,casella:25,cast:1,cat:[3,4],categor:[0,1,3,9,11,26],categori:[0,1,3,7,10,12,14,26],categorical_crossentropi:[1,3],catgeori:[],caus:[0,5,6,23,26,27],causal:0,causat:[0,26],caution:[],cax:1,cb:[6,26],cbar:1,cc:[0,1,3,4,5,13,20,21,26,27],ccc:[5,12],cd_fast:6,cdf:23,cdot:[0,2,6,12,13,14,18,23,26],ceil:[],celebr:13,cell:[0,1,2,3,4,6,10,13,19],cent:[],center:[0,1,6,7,8,9,11,14,19,21,23,26],central:[0,3,5,6,8,16,18,20,21,26,27],centroid:[14,23],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,23,26,27],certainti:[],cg:13,cha:0,chain:[0,1,13,17,23,26],challeng:[],chanc:[1,5,13,23],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,18,19,20,21,23,26,27],channel:3,chap4:[],chapter3:[0,19],chapter:[0,6,10,11,18,19,20,21,25,26,27],charact:[0,3,5,8,26,27],character:[8,9,10,12,23],characterist:[0,1,3,10,13,26],charg:[0,26],charl:0,chase:4,chat:[],chd:7,chddata:7,cheap:[5,27],cheaper:[1,13],check:[0,1,3,4,5,6,11,13,18,26],checkmark:3,checkpoint:4,checkpoint_dir:4,checkpoint_prefix:4,chemistri:[],chen:10,cheng:27,chiaramont:2,chin:[],choic:[0,1,2,3,4,6,9,12,13,14,18,20,26,27],choleski:[5,18,27],choos:[2,3,6,9,10,11,13,14,19,20,21],chosen:[0,1,2,6,8,9,10,13,16,20,21,23,26],chosen_datapoint:1,christian:25,christoph:[22,25,26],cifar10:3,cifar:3,circ:[1,12],circl:[0,8,12,27],circuit:3,circumfer:9,circumv:[1,5,13,27],ckpt:4,clariti:23,class_nam:[3,9],class_predict:[],class_val:9,class_valu:9,class_weight:[3,4],classic:[7,9,13],classif:[0,3,5,6,7,8,11,12,17,19,21,25,26,27],classifc:[],classifi:[0,1,4,7,9,10,11,20,21,26],classificaton:1,classifii:10,clealri:[],clean:1,clear:[1,5,10,12,13],clearli:[0,3,5,6,7,8,23,27],clever:[1,10],clf3:0,clf:[0,6,8,9,10,26,27],clf_lasso:6,clf_ridg:[6,26],clip:[3,23],clone:24,close:[0,1,2,4,6,8,9,11,12,13,14,19,21,23,25,26],closer:[3,5,13,27],closest:[8,11,13,14],closur:[17,26],cloud:[17,26],cluster:[0,1,4,6,11,17,26],cluster_label:14,cm:[1,2,3,6,8,9,13,19],cmap:[0,1,2,3,4,6,8,9,10,19,26],cmap_arg:6,cmb:22,cmd:9,cmu:[],cn_:23,cnn:12,cnn_kera:3,cntk:[17,26],co:[0,2,3,6,9,13,26],cobserv:[],code:[3,4,6,7,8,15,16,17,18,19,21,23,25],codebas:[],coef0:8,coef:[0,26],coef_:[0,5,6,8,9,13,26,27],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,18,26,27],coerc:[0,6,26],cognit:[],cogniz:[],coher:[],coin:[10,23],coin_toss:10,col:[0,11,26,27],colab:[17,26],cold:9,colinear:0,collabor:[19,20,21],collaps:8,collect:[0,2,6,10,11,17,23,25,26],collinear:[5,27],color:[0,3,4,6,8,9,10,19,23],color_channel:3,color_cod:6,colorbar:[1,6,19],coloumn:[],colsample_bytre:10,colsaobject:10,colspec:0,column:[0,1,2,5,6,7,8,9,11,12,18,26,27],column_or_1d:[],columntransform:9,com:[4,6,17,19,20,25,26],combin:[1,2,5,6,7,10,23],come:[0,1,3,4,5,12,13,14,15,20,26,27],command:[0,1,26],comment:[0,4,5,6,15,16,19,20,21,26,27],commerci:[0,15,17,19,21,26],commod:[0,26],common:[0,1,3,5,6,7,9,11,13,14,19,20,21,23,26,27],commonli:[0,1,4,6,7,9,13,14,27],commun:[0,12,19,21],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,26,27],compair:0,compar:[0,3,4,5,6,11,13,15,16,18,19,20,21,26,27],comparison:[2,4,13,20],compat:7,compet:0,competit:10,compil:[0,1,3,4,13,15,17,18,26],complet:[0,2,3,4,9,12,26],completenn:12,complex:[1,5,8,9,11,12,13,15,16,20,26],complic:[0,1,9,13,26],compoment:27,compon:[0,1,3,4,5,6,7,9,14,16,17,21,26,27],components_:11,compos:[9,12,13,14,17,26],compphys:[0,6,17,19,22,24,25,26],comprehend:[],compress:[0,26,27],compris:6,compromis:[5,27],compulsori:[17,26],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27],computation:[0,3,6,9,13,23,26],computationalscienceuio:26,computerlab:[19,20,21],con:20,concat:[],concaten:[2,4,6,14],concav:[1,9,13,27],concentr:[0,10],concept:[0,2,17,26,27],conceptu:[12,13],concern:[0,1,4,7,26],concic:26,conclud:[0,5,13],conclus:[1,21],concretefunct:[3,4],cond:2,conda:[0,1,15,17,19,21,26],condis:27,condit:[0,2,4,5,6,8,9,11,13,21,23,26,27],conduct:17,condwav:2,confer:[],confid:[0,5,6,7,8,19,26,27],configur:3,confirm:[5,12],conform:[],confus:[5,6,7,10,18,21,27],confusion_matrix:9,congruenti:23,conjug:[4,8],conjugaci:13,conjunct:3,connect:[0,1,3,4,9,11,12,13,18,26,27],consecut:[],consequ:[5,6,8,10,12,13,27],conserv:[5,14,27],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,18,19,20,23,26,27],consider:[0,1,5,13,26,27],consist:[0,1,2,3,4,6,12,13,19,20,21,23,27],constant:[0,2,4,5,6,8,12,13,23,26,27],constitu:[0,26],constitut:[2,6],constrain:[1,3,5,7,11],constraint:[5,6,8,13,27],construct:[0,1,2,3,5,6,7,8,9,10,11,18,23,26,27],consult:20,contact:[0,26],contain:[0,2,3,4,5,6,7,8,9,11,12,13,18,19,20,21,23,25,26,27],contemporari:26,content:[1,17,18,26],context:[3,4,6,10,13,19,21],contigu:18,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,18,19,20,23,26,27],contour:[9,10,13],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,23,26,27],contributor:[0,19,21],control:[0,1,3,9,13,15,17,26],conv2d:[3,4],conv2d_49:[],conv2d_50:[],conv2d_51:[],conv2dsep:[],conv2dtranspos:4,conv:[3,4],conv_imag:[],conv_lay:[],conv_result:[],convei:26,conveni:[0,5,6,12,13,18,19,20,21,26],convent:[12,27],converg:[1,2,4,5,6,7,8,9,11,13,14,20,27],convergencewarn:[6,7,8,9,11],convers:[],convert:[0,1,4,5,9,11,13,18,26,27],converttomatrix:4,convex:[4,5,7,27],convinc:13,convolut:[1,4,17,21,26],convolution2dlayeropt:[],convolv:[],convolved_imag:[],convout:[],cool:[4,9],coolwarm:[6,19],coordin:[5,12,14,27],coorel:0,cope:[],copi:[0,1,14,27],copyright:[20,21],core:[2,3,4,10,13,26],corel:26,corner:[],coronari:7,corr:[0,5,7,11,27],correalt:[11,17],correct:[0,1,2,3,4,5,7,13,18,23,26,27],correctli:[1,2,6,7,10,20],correl:[0,1,3,5,6,7,10,12,13,17,23,26],correlation_matrix:[0,5,7,11,27],correspond:[0,3,5,6,8,9,11,12,15,16,17,18,19,23,26,27],corss:[],cortex:12,cosin:[3,6],cost:[0,2,3,5,6,7,8,9,12,13,16,19,20,26],cost_deep_grad:2,cost_func:[],cost_func_deriv:[],cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_function_train:[],cost_function_v:[],cost_grad:2,cost_sum:2,costcrossentropi:[],costfunct:[],costlogreg:[],costol:13,could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,20,21,23,26,27],coulomb:[0,26],count:[0,9,22,23,24,26],countor:13,coupl:[4,5,6],cours:[0,1,3,5,11,19,20,21,22,24,27],courvil:[20,22,25,26,27],cov:[5,6,11,18,23,26,27],cov_xi:[5,11,27],cov_xx:[5,11,27],cov_yi:[5,11,27],covari:[0,7,17,18,26],covariance_matrix:[5,11,14,27],cover:[0,5,17,21,24,25,27],covert:[0,26],covxi:23,covxx:23,covxz:23,covyi:23,covyz:23,covzz:23,cpu:[1,3,4],cpu_util:[3,4],craft:3,crawford:[],creat:[1,2,3,4,5,6,9,10,11,12,13,17,19,26],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,27],creation:[],credit:[0,7,24,26],crim:0,crime:0,criteria:[0,4,9,10,14,23,26],criterion:[9,10,13,21],critic:[6,19,21,27],critiqu:[19,20,21],croot:[],crop:[],cross:[0,1,3,7,9,10,13,17,20,21,23,26,27],cross_entropi:4,cross_val_scor:6,cross_valid:[7,10],crossvalid:6,crucial:[1,23],cs231:3,cs231n:[],cs231n_2017_lecture4:[],cs:[22,24],csr_matrix:[18,26],csv:[0,4,6,7,9,26],ctnk:1,ctx:[3,4],cubic:0,cumbersom:5,cumsum:[10,11,26],cumul:[7,10,21,23],cumulative_heads_ratio:10,cup:5,current:[1,2,3,4,6,13,14,19,25],curs:[0,27],curv:[6,7,10,12,19,21],curvatur:13,custom:[6,14,19],custom_cmap2:[9,10],custom_cmap:[9,10],cut:[],cute:[],cutpoint:9,cv:[6,7,10],cvxbook:13,cvxopt:[5,8,27],cwe:[],cyber:[],cycl:[1,12],cyclotron:[],d2_g_t:2,d:[1,2,3,4,5,6,7,8,9,10,11,13,14,18,23,24,26,27],d_f:13,d_g_t:2,d_net_out:2,da:3,dagger:[5,18,27],dai:[1,9,17],damp:3,dan:[],daniel:24,darget:9,darkr:23,dat:[0,26],dat_id:[0,6,7,9,26,27],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,18,20,25],data_handl:[3,4],data_id:[0,6,7,9,26,27],data_indic:1,data_modul:[],data_panda:26,data_path:[0,6,7,9,26,27],data_url:[],databas:1,dataconversionwarn:[],datafil:[0,6,7,9,19,26,27],datafram:[0,4,5,7,9,11,26,27],datapoint:[1,5,6,7,11,13,27],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,19,20,26],datatyp:4,date:[15,16,19,20,21,26,27],daughter:10,david:[25,26],davison:[],dbh:1,dbo:1,dc5e85cd93c3:20,dcomposit:18,ddot:2,de:[],dead:1,deadlin:[16,22],deal:[0,1,3,5,6,8,11,13,14,18,19,21,23,26,27],dealt:0,debt:7,debug:[0,5,6],decad:[0,3],decai:[0,13,23,26],decemb:[22,24,26],decent:10,decid:[0,2,3,5,6,9,19],decim:[0,26],decis:[0,1,8,11,17,21,25,26],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],declar:[0,4,18,26],decod:[],decompos:[5,6,18,27],decomposit:[0,6,12,19,26],decompost:[5,27],deconvolut:3,decor:0,decorrel:[10,13],decreas:[1,2,4,5,6,10,11,13],dedent:[],dedic:[],deduc:[0,26],deep:[3,7,12,13,17,20,21,22,25,27],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepcopi:[],deepen:[5,17,26],deeper:[0,3,4,26],deepimag:[],deeplearningbook:[25,26],deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,19,23,26,27],def_covari:23,def_funct:[3,4],default_tim:4,defect:[5,27],defici:[5,27],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,23,27],definit:[1,2,5,6,7,8,10,11,12,13,18,23,27],defint:23,defualt:[],defun:[3,4],defvjp:[],degre:[3,5,6,8,9,10,11,15,16,19,23,26],deiana:[],deisenroth:27,del:1,delet:6,delimit:4,deliv:[22,26],delta:[0,2,3,6,8,12,13,14,21,26],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,18],delta_h:[0,1,26],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_matrix:[],delta_momentum:13,delta_n:[0,3,26],delta_next:[],delta_term:[],delta_term_next:[],delta_term_pad:[],delug:17,delv:0,demand:13,demonstr:[0,3,5,6,7,11,12,17,26,27],demostr:[],demystifi:[],den:4,denomin:[1,5],denot:[1,2,6,7,13,23],dens:[1,3,4],dense_1:4,dense_98:[],dense_99:[],densiti:[0,2,6,23,26],depart:[20,21,24,26,27],depend:[0,1,2,4,5,6,7,8,11,12,13,15,17,18,19,21,23,26,27],depict:23,deploi:[],deploy:[0,15,17,19,21,26],deprec:[2,3,6,13,19],deprecate_nonkeyword_argu:0,depth:[0,3,9,10,18],deriv:[0,1,2,6,7,8,10,11,13,16,17,19,26],derivati:13,derivative_fn:13,descend:[5,9,11,27],descent:[0,1,3,7,8,12,21,26,27],descent_i:[],descent_x:[],descr:[],describ:[0,2,4,5,6,8,10,11,12,13,18,19,20,21,26],descript:[0,8,9,20,21,26],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,19,20,26],designmatrix:[0,26],desir:[0,2,4,5,13,14,26,27],despit:[1,12],destroi:18,destruct:[],det:[5,18,27],detail:[0,6,11,13,14,18,19,20,27],detect:[3,8,12],detector:[],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,18,23,26,27],determinist:[7,13,23],dev:1,develop:[0,3,5,8,10,11,12,17,18,19,20,21,26,27],deviat:[0,1,2,4,5,6,19,23,26,27],devic:[3,4],device_nam:[3,4],devis:12,df1:26,df:[4,8,11,13,26],di:0,diag:[5,8,27],diagnost:[1,10],diagon:[0,5,7,13,18,19,21,23,26,27],diagonaliz:[5,27],diagram:10,diagsvd:6,dice:[6,23],dict:[6,8],dict_kei:[],dictat:21,dictionari:0,did:[0,1,5,6,7,10,11,14,19,20,21,26],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,21,23,25,26,27],different:[],differenti:[0,3,16,17,18,26,27],differential_oper:[2,13],difficult:[0,1,6,10,13,19,23,26],difficulti:[0,1,13,26],diffonedim:2,diffus:21,digit:[0,1,3,4,6,19,20,22,24,26],dilemma:13,dilut:1,dim:[4,11,14,18],dimens:[0,1,2,3,4,5,8,9,11,14,16,18,21,26,27],dimension:[0,4,5,6,9,11,13,14,17,18,20,21,26],dimensionless:[0,3,26],diment:18,dimention:[],dimnsion:4,diod:3,direct:[0,1,2,4,11,12,13,14,26,27],directli:[1,4,5,6,23,27],directori:[],disabl:[3,4],disadvantag:[0,26],disappear:[3,6],disc_loss:4,disc_tap:4,discard:[6,11],disciplin:[0,3,12],disclaim:23,discord:26,discourag:13,discov:[0,26],discover:5,discoveri:[],discrep:[],discret:[1,3,5,7,13,21],discrimin:[4,7,10,11],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discriminitav:[],discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,25,26,27],diseas:7,disguis:[6,27],disord:[1,7],dispai:[],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,19,23,26,27],displaystyl:[0,5,26,27],displot:[],disregard:[0,26],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,23],distance_list:9,distinct:[3,7,8,9,10,14],distinctli:8,distinguish:[0,4,7,8,23,26],distplot:0,distribut:[0,1,4,6,7,10,11,13,14,15,16,17,18,19,20,21,26,27],distrubut:[0,15,17,19,21,26],ditto:21,dive:[0,8,18,26],diverg:[1,13],divid:[0,1,3,5,6,7,8,9,11,12,20,23,26,27],divis:[6,8,9,13,18,23],dna:7,dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,26],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,26],doamin:[],doc:[0,6,17,19,20,21,22,24,25,26],docintang:[],document:[4,7,9,11,13],doe:[0,1,2,3,4,5,6,8,10,11,12,13,16,18,19,23,26],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13,19,20,21],domin:[0,26],don:[0,1,3,5,6,8,11,13,15,17,19,20,21,26,27],done:[0,2,3,4,5,6,9,10,11,13,18,19,21,26,27],dot:[0,2,3,5,6,7,8,9,10,11,12,13,18,19,23,26,27],doubl:[3,4,18,26],doubli:1,down:[0,3,6,9,11,12,13,21],download:[0,1,3,5,6,18,19,25,26],downsampl:3,dozen:1,dq:6,drag:13,dramat:11,drastic:4,draw:[4,6,10,13],drawback:[0,1,3,13,27],drawn:[1,4,6,7,11,23,26],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,23,26,27],dropna:[0,6,26],dropout:4,dt:[2,3,13,23],dtype:[0,1,2,3,4,14,18,26,27],dualiti:6,dub:[0,26],due:[1,2,5,6,8,10,12,13,24,26,27],dummi:0,dumoulin:[],dure:[0,1,3,4,8,9,11,17,19,21,26],dwell:0,dwh:1,dwo:1,dx:[2,3,8,23],dx_1:23,dx_1p:6,dx_2p:6,dx_mp:6,dx_n:23,dxp:6,dy:[1,8,23],dynam:4,dyp:[],dz:8,e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,23,24,26,27],e_:[0,2,26],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,21,22,23,24,26,27],eager:[3,4],eapprox:[0,26],earli:[1,3,4,13],earlier:[0,5,7,8,9,11,12,13,26,27],earliest:[],earthexplor:[6,19],eas:[6,9,14],easi:[0,5,6,7,8,9,10,11,12,13,17,18,20,26,27],easier:[5,6,8,9,13,20,23,26,27],easiest:13,easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,26,27],eastern:[24,26],ebind:[0,26],eblock:9,echo:[],econom:[],econometr:26,economi:5,ecosystem:[17,26],ect:22,edg:3,edgecolor:6,edu:[13,20],educ:[0,19,20,21,26],eff:23,effect:[1,4,10,13,23],effic:1,effici:[0,3,10,13,17,18,23,26],efron:6,egrad:13,eig:[5,11,13,18,23,26,27],eigen:23,eigenpair:[5,11,27],eigenvalu:[0,5,8,11,13,18,26,27],eigenvector:[5,11,13,27],eight:[18,26],eigval:[18,23,26],eigvalu:[11,13],eigvec:[18,23,26],eigvector:[11,13],eispack:[18,26],either:[1,5,6,7,8,9,10,11,13,15,16,19,20,21,23,26,27],elabor:23,elarn:3,elect:[],electr:[0,3,12,26],electron:26,eleg:11,elegantli:[],element:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,20,22,25,27],elementari:[10,13,18],elementwis:[3,13],elementwise_grad:[2,13],elessar:26,elif:[3,4,14],elim:18,elimin:[3,8],els:[1,2,3,4,7,9,12,13,18],elu:1,elus:[0,26],em:[],email:[22,24,26],emb:[],embed:[0,11,27],embodi:[6,19],emerg:[],emit:23,emner:25,emphas:[0,10,17,26],emphasi:[0,17,25,26],empir:[1,11,23],emploi:[0,1,5,6,11,13,19,20,21,23,26,27],employ:0,empti:[6,10],emul:12,en:[17,25],enabl:11,enbodi:6,encapsul:[],encod:[0,3,5,9,11,14,26,27],encompass:[0,19,21,23],encount:[0,1,5,6,7,13,23,26,27],encourag:[19,20,21],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,21,23,24,26,27],end_box:13,end_nod:[2,13],end_valu:13,endpoint:[3,6],energi:[0,4,6,27],enet_coordinate_desc:6,enforc:12,eng:25,engin:[0,1,3,4,17,26],english:[19,20,21],enhanc:[],enlarg:[],enorm:3,enough:[0,6,13,26],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,23,27],ensure_initi:[3,4],entail:26,entangl:[],enter:[5,6,27],enthought:[0,15,17,19,21,26],entir:[1,3,7,9,17,23,26],entiti:[9,12,18,26],entri:[0,5,8,11,12,18,26,27],entropi:[1,3,7,10,13,26],enumer:[0,1,2,3,4,6,8,26,27],env:[0,2,3,4,6,7,8,9,11,13,23,26],environ:[2,17,19,21],environment:[],eo:[0,6,26],eol:[0,26],eosfit:[0,26],epoch:[0,1,3,4,12,13,20,26],epoch_num:[3,4],epsilon:[0,5,6,7,13,19,26,27],epsilon_0:[0,26],epsilon_1:[0,26],epsilon_2:[0,26],epsilon_:[0,26],epsilon_i:[0,26,27],eq:[3,13,14,18,23],eqnarrai:[3,5,6],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,18,19,20,23,26,27],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,18,19,23],equilibrium:[2,12],equiv:[3,13,18,23],equival:[0,1,5,7,8,11,13,17,18,26,27],erf:23,eriador:26,eric:[],eridg:26,err:[0,10],err_:6,err_sqr:2,errat:13,errno:[],erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,19,20,23],error_estimate_corr_tim:23,error_handl:[3,4],error_hidden:1,error_output:1,escap:13,esn:[],especi:[1,3,9,12,13,19,20,21],essenti:[0,5,6,9,10,12,14,19,20,23,27],establish:[0,6,10,11,15,19,20,21,26],estim:[0,1,5,6,7,10,11,13,17,21,23,26,27],estimated_mse_fold:6,estimated_mse_kfold:6,estimated_mse_sklearn:6,et:[0,2,4,15,16,20,21,25,26,27],eta0:[8,13],eta:[0,1,3,8,12,13,20,26],eta_:13,eta_t:13,eta_v:[0,1,3,26],etc:[0,1,3,5,7,8,9,11,12,13,14,15,17,18,19,20,21,23,27],ethic:17,etsim:[],euclidean:[0,14,27],euler:21,eval_metr:[],evalu:[0,2,3,4,5,6,9,13,19,21,23,26,27],evaluationform:19,evaluationgrad:19,evalut:13,even:[0,1,3,4,5,6,8,9,10,11,12,13,14,17,18,21,23,26,27],evenli:4,event:[5,7,10,23],eventu:[0,5,6,11,12,13,19,20,21,24,27],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,17,23,24,26,27],everyth:[4,12],everywher:[4,13],evid:[],evolv:0,exact:[0,5,11,12,13,18,23,26,27],exactli:[0,3,4,6,12,17,19,27],exam:26,examin:6,exampl:[5,11,12,13,15,16,17,18,19,20,21,23,25],exce:[1,12,13],excel:[0,1,4,5,10,20,26,27],except:[3,4,6,8,9,18],excess:[0,26],excit:0,exclud:[1,6,12,19,27],exclus:[0,1,3,6,23,26],execut:[2,3,4,5,13,27],execute_with_cancel:[3,4],executing_eagerli:[3,4],exemplifi:13,exercic:[24,26],exercis:[5,17,19,20,21,22,24],exercisesweek35:[],exhaust:6,exhibit:[0,5,6,8,26,27],exisit:21,exist:[0,1,2,3,5,6,7,8,9,13,18,19,20,21,26,27],exit:[5,18,27],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,19,23,26,27],exp_term:1,expand:[5,7,11,13,27],expans:[0,3,5,8,10,12,13,26,27],expect:[0,1,5,6,7,11,12,13,15,16,17,19,20,26,27],expectation_value_of_h_wrt_p:23,expediti:[],expens:[6,10,13],experi:[0,1,6,8,13,17,19,26,27],experiment:[0,3,4,6,9,23,26],experimental_get_tracing_count:[3,4],expert:[1,9],explain:[0,6,9,10,11,13,19,21,26],explained_variance_ratio_:11,explan:20,explanatori:[0,26],explicit:[0,3,6,13,18,19,21,26,27],explicitli:[0,4],explod:1,exploit:[0,3,12,13,26],explor:[1,4,6,8,13,17,19,20,21],expon:1,exponenti:[0,1,5,6,10,13,19,23,26],export_graphviz:9,export_text:9,exporttext:9,expos:17,express:[0,2,3,5,6,7,10,12,13,16,18,19,20,23,26],exptmean:23,exptvari:23,extend:[0,2,7,11,13,17,26],extens:[0,12,15,17,21,26],extent:[0,1,6,21,25],extern:[3,6,9],extra:[1,3,5,24,26,27],extract:[0,3,5,6,7,8,11,13,18,26,27],extrapol:[0,26],extrem:[0,1,4,5,6,7,8,9,13,16,18,27],extremum:13,extrins:11,ey:[0,5,6,13,14,18,26],f11:[0,26],f12:[0,26],f13:[0,26],f1:13,f1_grad:13,f1d:13,f2:13,f2_grad_x1:13,f2_grad_x1_analyt:13,f2_grad_x2:13,f2_grad_x2_analyt:13,f3:13,f3_grad:13,f3_grad_analyt:13,f4:13,f4_grad:13,f4_grad_analyt:13,f5:13,f5_grad:13,f6:13,f6_for:13,f6_for_grad:13,f6_grad_analyt:13,f6_while:13,f6_while_grad:13,f7:13,f7_grad:13,f7_grad_analyt:13,f8:13,f8_grad:13,f9:[0,13,26],f9_altern:13,f9_alternative_grad:13,f9_grad:13,f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,23,24,26,27],f_0:[3,10],f_1:[10,13],f_2:[12,13],f_3:12,f_:10,f_d:23,f_grad:13,f_grad_analyt:13,f_i:[0,6,12,16],f_m:[3,10],f_n:3,f_raw:[],f_vec:2,f_wrap:[],face:13,facecolor:[6,8,23],facil:[0,15,17,26],facilit:12,fact:[0,1,3,5,9,11,12,13,26,27],factor:[0,1,3,5,6,9,10,11,13,18,23,26,27],factori:13,fade:6,fafab0:[9,10],fahimeh:[24,26],fail:[0,3,4,6,7,8,9,11,13,24,26],failur:7,fairli:[1,2,23],faisal:27,fake:4,fake_loss:4,fake_output:4,fale:20,fall:[8,9,22],fals:[0,1,2,3,4,5,6,7,9,10,14,18,19,26,27],famili:[0,7,8,23],familiar:[0,3,5,6,8,15,17,18,19,21,23,26],famou:[6,12],fanci:[],far:[0,3,4,5,6,8,11,12,13,14,26,27],fashion:[0,9,10,26],fast:[1,3,6,10,12,13,17,23,26],faster:[1,11,13],fastest:[13,18],favor:7,favorit:23,fc:3,fdr:[],featur:[0,1,3,5,6,7,8,10,11,12,13,17,19,20,23,26],feature_map:[],feature_maps_index:[],feature_nam:[0,1,7,9],feautur:9,fed:1,feed:[0,2,3,11,17,20,26],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,26],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,17,19,20,21,24,26],feet:0,fei:[],felt:[19,20,21],fetch:[6,19],fetch_california_h:[],fetch_openml:[],few:[1,3,4,5,9,23,26],fewer:[0,9,11,26],ffnn:[1,12,20],fft2:[],fft:[],field:[0,3,6,12,17,21],fifth:[0,6,15,16,19,26],fig:[0,1,2,3,4,6,7,12,13,14,19,26],fig_id:[0,6,7,9,26,27],figaxi:23,figsiz:[0,1,2,3,4,6,7,8,9,10,26],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,19,20,21,26,27],figure_id:[0,6,7,9,26,27],figurefil:[0,6,7,9,26,27],file:[0,2,3,4,5,6,7,9,13,19,20,21,26,27],file_prefix:4,filenam:26,filenotfounderror:[],filepath_or_buff:0,fill:[5,9,27],filter:[3,4],filter_traceback:[3,4],filtered_flat_arg:[3,4],filtered_imag:[],filtered_tb:[3,4],financ:0,find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,23,26,27],fine:[0,14,15,26],finish:2,finit:[3,5,6,12,13,21,23,27],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,19,21,23,24,25],first_moment:[],first_term:[],firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,19,20,23,27],fit_beta:[6,27],fit_intercept:[0,5,6,27],fit_mod:9,fit_transform:[0,6,8,9,11],fiti:[0,26],five:[0,9,19,26,27],fix:[0,3,4,6,10,11,12,13,19,20,26],fixedformatt:6,fixedloc:6,flag:4,flat:[12,13],flatten:[1,3,4,5,18],flatten_49:[],flattenlay:[],flexibl:[1,6,8,10,12,20,26],flip:[24,26],float32:[4,9],float64:[4,18,26,27],floatingpointerror:[],floor:[],flop:[5,18,27],flow:[1,4,12],fluctuat:5,fluid:21,flush:[],fly:11,fm:[0,26],fmap:[],fmax:3,fmesh:13,fn:[3,4,7],fnr:[],focu:[0,3,4,5,6,15,17,20,25,26,27],focus:[1,6,7,18,27],fold:[6,9,19],folder:[0,1,4,6,13,19,20,21,26],follow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27],font:[0,7,23,26],fontdict:23,fontsiz:[1,6,8,9,10,23],fontweight:1,footprint:3,foral:[8,27],forc:[0,5,6,10,11,26,27],forcast:4,forecast:[4,12],forest:[0,1,9,17,21,26],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,18,19,20,21,23,26,27],formal:[3,4,14,23],format:[0,1,3,4,6,7,8,9,10,11,17,23,25,27],format_data:4,formatstrformatt:[6,13,19],formul:[4,6,11,14],formula:[3,13,21,23],forth:[4,12],fortran2003:[17,26],fortran2008:[19,20,21],fortran90:23,fortran:[0,15,17,18,26],fortun:[0,11,27],forward:[0,3,4,6,17,18,20,21,26],forward_backward:[3,4],forward_funct:[3,4],foster:26,found:[1,2,4,5,6,12,13,19,20,21,26,27],foundat:[17,26],four:[4,5,6,8,12,18,19,22,24,26],fourier:[0,26],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,26,27],fp:7,fpr:[],frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,26,27],fractal:9,fraction:9,fragment:[],frame:7,framework:[1,8,10,23],frank:[5,11,20],frankefunct:[5,6,11,19,27],fredli:[24,26],free:[0,6,11,13,15,16,17,18,19,20,21,23,24,25,26],freecodecamp:17,freedom:5,freeli:[0,19,21],frequenc:[3,4,6,7,23],frequent:[0,8,9,13],frequentist:17,fresh:10,fridai:[16,24,26],friedman:[6,19,22,25,26],friendli:4,frodo:26,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,19,21,23,24,25,26],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,26,27],fruit:[],fuction:[],fulfil:[2,5,12,27],full:[0,1,3,5,7,9,10,13,23,26,27],full_matric:[5,27],fulli:[3,6,12,22,23],fullyconnectedlay:[],fun:[2,13,17,26],fun_nam:[],func:[0,2],functionali:11,functionfit:[],fundament:[0,6,17,26],funtion:2,further:[2,7,9,26],furthermor:[0,3,5,6,7,11,12,13,17,19,26,27],futur:[0,4,8,9,26],futurewarn:0,fy:[15,19,20,21,22,24,25,26],fys3150:21,fys4155:[19,20,21],fys5419:[25,26],fys5429:[25,26],g0:2,g2d:[],g:[0,1,2,3,4,6,8,9,10,11,13,23,26],g_0:2,g_1:[2,10],g_2:[2,10],g_:[2,9,10],g_analyt:2,g_dnn_ag:2,g_euler:2,g_i:2,g_m:[3,10],g_n:3,g_re:2,g_t:2,g_t_d2t:2,g_t_d2x:2,g_t_dt:2,g_t_hessian:2,g_t_hessian_func:2,g_t_invers:[],g_t_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,21,27],galleri:[0,26],game:4,gamge:26,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,26],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,26],gamma_i:[0,8,23,26],gamma_j:13,gamma_k:13,gamma_m:10,gamma_x:[0,26],gan:[],gap:[6,8],gate:[4,12],gather:[0,1,12,27],gaug:12,gauss:[],gauss_kernel:[],gaussbacksub:18,gaussian:[4,5,6,8,14,23],gaussian_point:14,gaussian_rbf:8,gave:13,gavra:26,gbc:[22,26],gca:[2,6,8,13,19],gd:[1,20],gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:13,gdregress:10,ge:[1,5,7,21,23,27],gen_loss:4,gen_tap:4,gender:[0,26],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,18,19,23,25,27],generaliz:[],generallay:12,generate_and_save_imag:4,generate_gauss_mask:[],generate_imag:4,generate_latent_point:4,generate_simple_clustering_dataset:14,generated_imag:4,generator_loss:4,generator_loss_list:4,generator_model:4,generator_optim:4,genet:[],genom:17,geodes:11,geoffrei:[],geometr:[0,13,26],geometri:5,georg:25,geotif:[6,19],geq:[2,5,8,9,13,27],geron:[0,15,22,25,26],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,17,18,19,20,21,23,24,26,27],get_dummi:9,get_paramet:2,get_pred_format:[],get_prev_a:[],get_split:9,get_yaxi:8,get_yticklabel:6,getattr:[],gg:26,gibb:[17,26],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,17,26],giter:13,github:[0,6,15,17,19,20,21,22,24,25,26,27],gitlab:[0,15,17,19,20,21,26],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,19,20,21,23,26,27],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,26,27],global:[6,7,13,19],gloriou:20,glorot:1,gnew:13,go:[0,1,3,5,6,8,9,11,12,13,19,26,27],goal:[0,7,9,26],godfath:[],goe:[0,1,2,5,6,13,14,18,26,27],golden:13,gone:[5,27],gong:1,good:[1,3,4,5,6,9,10,11,13,17,23,25,27],goodfellow:[4,20,22,25,26,27],googl:[1,4,17,26],got:[1,6,19],gotcha:[],gotten:26,gov:[6,19],gp:25,gpu:[1,13,17,26],grad:[2,13],grad_analyt:13,grade:22,gradient:[0,3,4,7,8,9,12,17,21,26,27],gradient_bia:[],gradient_desc:3,gradient_kernel:[],gradient_weight:[],gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradients_util:[3,4],gradienttap:4,gradual:[1,14],grai:[4,6,19],graph:[1,9,11,12,13],graph_from_dot_data:9,graph_funct:[3,4],graphic:[0,1,9,26],grasp:0,gray_r:[1,3],grayscal:3,great:[5,13],greater:[1,7,23],greatli:13,greedi:9,green:[0,3,9,23],gregor:[],grei:4,grid:[1,3,6,7,8,12,23,27],gridsearch:[],gridsearchcv:[],grossli:13,ground:[0,26],group:[0,6,7,9,14,17,19,20,21,22,24,26],groupbi:[0,26],grow:[1,3,9,10],growth:[0,26],gru:4,guarante:[0,3,4,13,23,26,27],guess:[1,4,10,13,14,20],guestrin:10,guid:1,guidelin:[],h1:2,h:[0,1,5,6,8,13,16,19,23,24,25,26,27],h_1:[2,13],h_2:[2,13],h_:[0,13,26],h_ind:[],h_j:[],h_m:10,h_stride:[],ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,23,26,27],haa:24,haabrwft72:[],habit:[0,27],had:[0,1,6,7,13,26],hadamard:[1,12,13],half:[1,8,9],half_dim:[],half_kernel_height:[],half_kernel_width:[],halv:10,hand:[0,1,2,3,5,11,12,13,15,17,18,19,20,21,22,23,24,25,26,27],handi:[3,19,20,21],handicap:[],handl:[0,1,2,5,9,11,17],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5],handwrittennot:[],hang:[],happen:[1,2,3,4,5,6,10,13,23,27],hard:[1,7,8,10,13],hardcopi:[17,26],harder:[0,1,27],harmon:3,harrison:[],hasn:[],hassl:[0,15,17,26],hast:[17,26],hasti:[0,6,15,16,19,22,25,26,27],hat:[0,1,5,6,7,9,10,11,12,13,18,19,27],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27],haven:1,he:7,head:[0,4,10,23],header:[0,26],heads_proba:10,health:[0,27],healthi:[],hear:[0,13,26],heart:[0,7,26],heat:[],heatmap:[0,1,3,7,26],heavili:0,heavisid:1,hedon:[],height:[1,3,6,27],height_index:[],hein:[],held:13,help:[0,1,4,12,13,16,19,20,21,26],helper:[4,14],henc:[0,5,6,8,9,10,12,13,19,26,27],henrik:[24,26],her:7,here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,26,27],hereaft:[0,8,12,26],hermitian:18,hessenberg:18,hessian:[0,2,5,13,16],heterogen:[9,10],hi:7,hidden:[1,3,4,12,20,21],hidden_bia:1,hidden_bias_gradi:1,hidden_deriv:[],hidden_func:[],hidden_layer_s:[0,1,26],hidden_neuron:4,hidden_nodes1:[],hidden_nodes2:[],hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,27],higg:[],high:[0,1,2,3,4,5,6,9,10,11,13,14,17,18,19,20,26,27],higher:[0,1,3,5,6,8,13,19,20,26,27],highest:[1,2],highli:[0,3,4,10,17,18,20,21,25,26,27],highwai:0,hing:8,hint:[13,16,20,27],hinton:[],hip:17,hire:0,hist:[4,6,7,23],histogram:[0,6,7,23],histor:[7,11],histori:[3,4,12],histplot:[],hit:[],hitherto:5,hjorth:[24,26,27],hobbi:23,hoc:[5,27],hochreit:[],hoff:25,hold:[1,3,6,13,14],holder:[0,26],holm:[],holomorphic_grad:[2,13],home:0,homepag:[19,20,21,26],homework:[6,13],homogen:[1,3,9,10,13],honchar:2,hop:[],hopefulli:[0,11,23,26],hopfield:[],horizont:11,hors:[3,7],hot:[1,9],hotspot:[],hour:[1,17,22,23,24,26],house_pric:[],how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,23,26,27],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,23,26,27],hspace:[0,4,8,10,21,23,26],hstack:1,htf:[22,26],html:[0,7,9,11,17,19,22,24,25,26],http:[0,3,4,6,7,9,11,13,17,18,19,20,21,22,24,25,26,27],huang:[0,26],huber:[0,26],huge:[1,3,4,17],human:[0,1,3,6,9,12,27],humid:9,hundr:1,hungri:1,hurt:[],huse:26,hybrid:22,hydrogen:[0,26],hyper:20,hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,26,27],hyperplan:11,hz:[3,4],i0:[0,26],i1:[0,6,8,12,26,27],i2:[0,8,12,26],i3:[0,12,26],i5:[0,26],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,26,27],i_1:[5,6],i_2:[5,6],i_:13,i_j:[],ia:[],ian:25,ic:[1,20],iclr:[],icml:[],id3:[],id:[7,13],ida:[24,26],idea:[0,1,2,3,4,6,9,10,12,13,18,19,20,21,27],ideal:[0,2,6,8,13,23,26],idem:6,ident:[5,6,12,13,18,19,27],identical:[],identifi:[0,1,7,9,11,12,13,14,26,27],idx:[],ieor:23,ifft2:[],ifi:25,ifs:[17,26],ignor:[0,1,3,9,27],ii:[18,23],iii:[18,26],ij:[0,1,3,6,8,12,14,16,18,19,23,26,27],ijad:[],ik:[0,18,26,27],ill:[],illustr:[5,7,10,12,13,14,17,26],ilsvrc:[],im:6,imag:[1,3,4,6,9,11,12,14,20,25,26],image_at_epoch_:4,image_batch:4,image_height:3,image_of_cute_dog:[],image_path:[0,6,7,9,26,27],image_shap:[],image_width:3,imageio:[6,19],imagenet:[],images_from_seed_imag:4,imagin:1,img:[],img_fft:[],img_height:[],img_path:[],img_width:[],imit:[],immedi:[0,3,4,6,15,17,26],impact:[],imper:[],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,19,20,21,23,26,27],impli:[3,5,6,7,13,18,27],implicit:3,implicitli:[11,23],importantli:3,importerror:[],impos:[0,6,11,12,26],imposs:[0,5,26,27],impress:[0,12,26],improv:[0,4,5,9,10,11,13,19,20,21,27],impur:9,imread:[6,19],imshow:[1,3,4,6,19],in1:[],in2:[],in3050:[25,26],in3310:26,in4050:[],in4080:[25,26],in4300:[25,26],in4310:25,in5400:3,in5550:25,in_out_neuron:4,inaccur:13,inact:12,inadequ:[0,26],inbetween:[],inch:[6,27],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,19,20,21,23,24,25,26,27],include_bia:[6,9],inclus:[],incom:12,inconveni:[],incorpor:[],incorrect:1,incorrectli:[],incoveni:8,increas:[0,1,3,4,5,6,7,8,9,11,12,13,19,21,23,26,27],increasingli:23,increment:[],ind:6,inde:[0,2,4,5,6,13,26,27],indefinit:4,independ:[0,5,6,7,8,12,13,23,26,27],index:[0,1,3,4,10,14,17,18,20,23,25,26],index_col:[0,26],indic:[0,1,3,4,5,6,9,10,11,13,16,19,20,26,27],indispens:6,individu:[1,6,7,10,12,23,26,27],indu:0,indx1:2,indx2:2,indx3:2,indx:18,ineffici:[3,13],inequ:[8,13],inequaltii:[],inertia:13,inf1000:[17,26],inf1100:[17,26],inf1100l:[17,26],inf1110:[17,26],inf3000:26,inf5860:[],infeas:9,infer:[0,1,4,6,25,26],infer_nrow:0,inferenc:1,infil:[0,6,7,9,26],infin:[5,6,7,11,27],infinit:3,infinitesim:23,influenc:[6,10],influenti:1,info:26,inform:[0,1,3,4,6,9,11,12,13,14,18,19,20,21,25,26],infti:[3,6,13,23],ingeni:13,ingrad:2,ingredi:[0,9,26],inher:6,inherit:[18,26],init:[],initi:[0,1,2,6,10,13,14,18,20,21,23,26],initial_epoch:[3,4],initialis:[],inititi:[],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],inner:[0,13,27],inp:4,inplac:13,input:[0,1,3,4,5,6,7,8,10,12,13,14,19,20,21,23,26,27],input_channel:[],input_channel_index:[],input_dim:1,input_grad:[],input_index:[],input_map:[],input_nod:[],input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,27],insert:[3,5,6,8,10,23,27],insid:[0,4,7],insight:[0,1,5,17,20,26,27],insightful:[],insist:[6,13,27],inspect:[],inspir:[0,1,12,20,26],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,26,27],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,18,19,23,26,27],institut:1,instruct:[0,1,15,16,26],insuffici:[],int32:10,int64:[],int64index:[],int_0:23,int_:[3,6,23],int_a:23,intak:[0,27],integ:[1,2,13,14,18,23,26],integer_vector:1,integr:[3,6,23,26],intellectu:[],intellig:[0,14,25,26],intend:10,intens:[1,20],intention:14,inter:[],interact:[0,6,9,12,17,19,20,21,26],intercept:[0,6,8,11,13,16,19,26],intercept_:[0,6,8,9,13,26,27],interceptol:[],interceptridg:[],interchang:[5,12,18],interconnect:1,interdisciplinari:[],interest:[0,1,2,3,4,5,6,7,8,9,12,17,19,20,21,23,26,27],interfac:[0,1,18,27],interior:[0,9,26],intermedi:[18,27],intern:[1,10,12],interpol:[1,3,4,6,12,19],interpr:[5,27],interpret:[0,1,6,9,10,12,13,18,19,20,21,23],intersect:[],interv:[0,3,5,6,7,13,19,23,26,27],interview:[],intial:13,intiat:[],intiti:[],intract:[0,4,27],intric:[],intricaci:[],intrins:[3,11,18,23,26],intro:[17,25,26],introduc:[0,1,5,6,8,10,12,18,19,23,26],introduct:[1,2,4,13,25,27],introductori:[0,4,18,25,26,27],intuit:[0,5,6,8,12,13,19,26],intuiton:[],inv:[0,5,13,26,27],invalid:8,invalu:[0,13,15,17,26],invari:1,invd:5,invent:[],inver:8,invers:[0,3,6,13,15,16,19,20,26,27],inverse_transform:8,invert:[0,5,7,10,13,26],investig:[],invh:13,invok:[0,8],involv:[0,2,6,7,11,12,27],io:[0,17,19,22,24,25,26,27],ion:[],ip:[0,8,23,26],ipca:11,ipykernel_10904:[],ipykernel_10962:[],ipykernel_11016:[],ipykernel_11057:[],ipykernel_11068:[],ipykernel_11090:[],ipykernel_11106:[],ipykernel_11118:[],ipykernel_11123:[],ipykernel_12649:[],ipykernel_15302:1,ipykernel_15329:[],ipykernel_15405:6,ipykernel_15458:13,ipykernel_15499:19,ipykernel_15510:[],ipykernel_15532:[],ipykernel_15547:[],ipykernel_15558:[],ipykernel_15572:[],ipykernel_18986:[],ipykernel_19041:[],ipykernel_19107:[],ipykernel_19139:[],ipykernel_19152:[],ipykernel_19176:[],ipykernel_19181:[],ipykernel_19201:[],ipykernel_19294:[],ipykernel_19329:[],ipykernel_19344:[],ipykernel_19367:[],ipykernel_19394:[],ipykernel_19431:[],ipykernel_19440:[],ipykernel_21437:26,ipykernel_31563:[],ipykernel_31624:[],ipykernel_31672:[],ipykernel_31707:[],ipykernel_31718:[],ipykernel_31736:[],ipykernel_31749:[],ipykernel_31761:[],ipykernel_31766:[],ipykernel_31871:[],ipykernel_44857:[],ipykernel_74401:[],ipykernel_74620:[],ipykernel_74630:[],ipykernel_8624:[],ipykernel_8674:[],ipykernel_8738:[],ipykernel_87501:[],ipykernel_8779:[],ipykernel_8790:[],ipykernel_8815:[],ipykernel_8843:[],ipykernel_8855:[],ipykernel_8861:[],ipykernel_96069:[],ipynb:[17,26],ipython:[0,5,7,9,11,14,15,17,19,20,21,26,27],iq:6,iri:[8,9],irreduc:6,irrelev:[5,27],irrespect:[0,26],irvin:[20,21],isbox:13,iseffici:[],isinst:[],isn:5,isnan:[],isnul:0,isol:[],isomap:11,isotop:26,issu:[1,9,18],it_arrai:13,item:[0,13,26],items:[18,26],iter:[1,2,3,4,6,7,8,9,11,13,14,23],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,23,26],itself:[5,6,12,19,20,21,23,27],iv:[],ix:[],j1:18,j6p8yfhx1mv_0grj5xl4650h0000gp:[],j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,18,19,23,25,26,27],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknif:[6,17,26],jacobian:[2,13],jacobian_shap:[],jakobsen:24,jason:4,jax:[17,20,26],jax_descend_i:[],jax_descend_x:[],jax_enable_x64:[],jax_grad:[],jd:[],jensen:[24,26,27],jerom:[19,25],ji:[12,18],jit:13,jj:[0,5,6,26],jk:[0,1,6,12,18,26],jl:[0,26],jm:18,jmlr:[],jnp:13,job:[2,8,10],johansen:26,join:[0,4,6,7,9,26,27],joint:[4,5],journal:[],jpg:[],jr:[],judg:13,judgement:[6,19],julia:[17,18,19],jump:[19,23],junk:4,jupit:26,jupyt:[0,15,17,19,25,26],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,19,20,21,23,26,27],justif:0,justifi:[3,10],k0:7,k1:7,k:[0,1,3,5,6,7,8,9,10,11,12,13,14,17,18,19,21,23,24,26,27],k_1:[],k_2:[],k_half_height:[],k_half_width:[],k_j:[],k_n:[],k_x:[],k_y:[],kaggl:[6,19,20,21],kai:[],kajda:[],kappa_d:23,karl:[24,26],karush:8,kate:[],katrin:[24,26],keep:[0,1,4,5,6,11,13,14,18,19,20,21,26,27],keepdim:[1,6,10,18],kei:[0,1,3,6,12,27],kept:[4,6,14],ker1:[],ker2:[],ker_coef:[],kera:[0,4,17,19,20,21,26],kernel:[0,1,3,17,26,27],kernel_feature_maps_index:[],kernel_fft:[],kernel_height:[],kernel_input_channels_index:[],kernel_regular:[1,3],kernel_reshap:[],kernel_s:4,kernel_width:[],kernelpca:11,kev:[0,26],kevin:[25,26],keyboardinterrupt:[1,2,3,4],keyword:[6,13,18,19,26],kfold:6,kg:1,ki:18,kick:[1,13],kiener:2,kilomet:[6,27],kind:[0,2,3,4,8,12,13,14,26,27],kj:[6,12,18,27],kjm:[17,26],kkt:8,kl:23,km:[12,26],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,17,26,27],knowledg:[0,17,26],known:[1,3,4,5,6,7,8,9,12,18,19,20,21,23,25,27],kondev:[0,26],kp:23,kpca:11,kristin:[],kroneck:14,kuhn:8,kumar:[],kvalsund:[24,26],kwarg:[0,2,3,4,13],kwd:[0,3,4],kwown:[0,26],l0:7,l1:[0,1,3,7,26],l1_l2:[1,3],l1regl:5,l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,18,19,21,23,26,27],l_1:7,l_2:[7,13,20],l_:18,l_j:12,l_ja:[],la:13,la_i:12,la_k:12,lab:[17,19,21,26],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,17,18,19,20,21,23,26,27],label_encoder_deprecation_msg:[],label_prob:[],labelencod:[7,10],labels:[6,8,9],labels_shuffl:[0,1,27],laboratori:22,lack:[0,26],lagari:2,lagrang:[8,11],lam:[],lambda:[0,1,2,3,5,6,7,8,10,12,13,19,20,23,26,27],lambda_0:11,lambda_1:[5,8,11,27],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,27],lamda:1,land:[0,8],landmark:8,landscap:13,langl:[0,6,11,23,26,27],languag:[0,1,4,8,15,17,18,19,20,21,25,26],lapack:[18,26],laplac:5,laptop:17,larg:[0,1,2,4,5,6,8,9,10,11,13,15,17,18,19,21,23,25,26,27],larger:[0,3,5,6,8,10,11,13,23,26,27],largest:[4,8,11],larn:[],lasso:[0,7,17,21,26],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,10,12,13,18,19,23,24,26],lastli:[],late:[],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,6,7,8,12,13,14,15,17,19,20,21,26],latest:[4,17],latest_checkpoint:4,latex:26,latter:[0,3,6,7,8,11,13,16,18,19,21,23,26,27],lattic:12,law:0,lax_numpi:[],layer:[0,4,13,20,21,26],lbfg:[7,9,10,11],lcc:[5,6],lda:11,ldot:[0,6,11,19,26],le:[5,7,10,13,23,27],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,18,23,26,27],leaf:9,leaki:[1,20],leakyrelu:4,lear:13,learn:[3,4,5,6,7,8,9,10,12,18,22,24,25],learnabl:3,learner:10,learnig:26,learning_r:[3,8,10],learning_rate_init:[0,1,26],learning_schedul:13,learnt:[19,20,21],least:[0,7,8,10,11,15,16,17,18,20,21,23],leat:13,leav:[0,1,3,5,6,9,11,26],lectur:[0,1,5,10,11,12,13,15,17,18,19,20,21,22,24,25],lecture_11_backpropag:[],lecturenot:[0,17,19,25,26],led:[],lee:[],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,18,19,23,26,27],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,26,27],len:[0,1,2,3,4,5,6,8,9,10,11,12,18,26,27],len_index:0,lenght:[],length:[0,1,2,3,4,8,9,13,16,17,21,26,27],length_of_sequ:4,leq:[0,5,7,8,13,14,21,23,26,27],less:[0,1,3,4,5,6,8,9,13,17,23,26,27],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,23,26,27],letter:[0,16,18,23,26,27],level:[0,1,5,6,9,17,18,19,20,21,22,24,26],lfloor:[],li:[8,11],lib:[0,2,3,4,6,7,8,9,11,13,26],liblinear:[8,10],librari:[0,1,2,3,4,5,6,9,10,11,15,18,19,20,21,23,25,27],licens:[0,1,15,17,19,20,21,26],lie:[0,6,11,23,26,27],life:[0,1,8,12,26],lifetim:13,light:[],lightweight:[],like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,19,20,21,23,26,27],likelihood:[0,1,5,9,26,27],lim_:23,lima:24,limit:[0,5,6,7,8,9,11,12,18,19,20,21,26,27],lin_clf:8,lin_model:0,lin_reg:9,linalg:[0,2,5,6,8,11,13,18,23,26,27],line1:8,line2:8,line2d:13,line3:8,line:[0,1,2,3,4,6,8,10,11,13,19,21,26,27],linear:[1,3,5,6,7,9,10,11,12,17,19,21,23],linear_model:[0,5,6,7,8,9,10,11,13,26,27],linear_regress:6,linearli:[5,27],linearloc:[6,13,19],linearregress:[0,6,7,9,26,27],linearsvc:8,lineat:[],liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10,19],link:[0,4,9,12,17,19,20,21,24,26],linlag:5,linpack:[18,26],linreg:[0,26],linspac:[0,2,3,4,6,8,9,10,13,15,16,18,23,26,27],linu:4,linux:[0,1,15,17,19,21,26],liquid:[0,26],list:[0,1,2,3,4,9,17,19,20,21,26,27],listcomp:[],listedcolormap:[9,10],literatur:[1,7,14,21,25],littl:[1,3,9,12],live:8,ll:[0,23,26,27],lle:[0,27],lloyd:[4,14],lmb:[0,2,5,6],lmbd:[0,1,3,26],lmbd_val:[0,1,3,26],lmbda:13,ln:[1,13],load:[0,1,4,6,7,9,10,19],load_boston:0,load_breast_canc:[1,7,9,10,11],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],loc:[0,3,6,7,8,9,10,26],local:[0,1,2,3,4,7,12,13,27],locat:[2,3,8],lock:[3,4],log10:[0,5,6],log2:[],log:[0,1,2,4,5,6,7,9,10,11,13,18,19,20,21,26,27],log_:[0,26],log_clf:10,logarithm:[0,5,7,18,26],logbook:[19,20,21],logic:[0,1,9,26],logist:[0,1,2,8,9,10,11,12,13,17,21,27],logistic_predict:[],logistic_regress:[],logisticregress:[7,9,10,11],logit:7,logloss:[],logreg:[7,9,10,11],logspac:[0,1,3,5,6,26],longer:[2,3,8,10,14,18,20,23,26],loocv:6,look:[0,1,2,3,4,5,6,7,8,9,10,11,13,18,19,20,21,23,26,27],loop:[1,4,6,10,12,14,17,18,26],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,18,19,20,21,26],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6],low:[0,6,9,10,11,19,20,26,27],lower:[0,1,3,6,9,10,16,18,27],lowercas:[18,26],lowest:[9,13,23],lr:[1,3,4,10],lrelu:[],lstat:0,lstm:4,lstm_2layer:4,lstsq:[0,26,27],lt:6,lu:[0,5,26,27],lubksb:18,luckili:2,ludcmp:18,lux:18,lvert:1,lw:[0,26],m1:[3,4],m:[0,1,2,3,5,6,8,9,10,11,12,13,18,22,23,24,25,26,27],m_1:14,m_:[9,12],m_h:[0,26],m_k:14,m_l:12,m_n:[0,26],m_p:[0,26],m_t:13,ma:11,machin:[1,3,4,5,6,7,9,10,11,12,15,18,22,25,27],machinelearn:[0,6,17,19,22,24,25,26],mackai:25,made:[0,1,3,4,5,6,7,9,11,12,19,20,21,26,27],mae:[0,26],magic:4,magnitud:[1,6,7,13,27],mai:[0,1,2,3,5,6,7,8,9,11,12,13,17,18,19,20,21,23,26,27],mail:[22,24],main:[0,1,3,4,5,6,7,9,18,19,20,25,27],mainli:[0,5,6,7,9,21,26,27],mainstream:[],maintain:6,major:[1,6,9,10,13,18,26],make:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,20,23,25],make_axes_locat:6,make_classif:[],make_moon:[8,9,10],make_pipelin:[0,6,10,27],make_vjp:[2,13],makedir:[0,6,7,9,26,27],makeplot:[0,26],malcondit:18,malign:[1,7,9],mammographi:5,manag:[0,2,3,15,17,19,21,26],mandatori:[24,26],mani:[0,1,3,4,5,6,7,8,9,11,13,14,17,18,19,20,21,23,25,26,27],manifold:11,manner:3,manual:[6,27],map:[0,1,2,6,7,8,11,12,14,19,23,26],marc:27,march:[],margin:[0,5,8],maria:[],marit:[0,26],mariu:[],mark:26,markedli:[],marker:[0,7,18,26],markov:[17,26],marsaglia:23,mass:[0,1,5,13,27],massag:[0,26],masses2016:[0,26],masses2016ol:[0,26],masses2016tre:0,masseval2016:[0,26],master:[6,19,22,24],mat1100:[17,26],mat1110:[17,26],mat1120:[17,26],mat:[17,21,26],match:[0,1,4,5,13,14,27],materi:[4,5,7,13,18,21,24],math:[3,7,12,13,18,23,25,26],mathbb:[0,4,5,6,7,8,11,12,13,14,18,19,23,26,27],mathbf:[0,5,6,7,8,13,18,19,26,27],mathcal:[1,5,6,7,13,19],matheemat:3,mathemat:[0,6,11,12,13,17,18,23,25,26],mathemati:26,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,19,23,26,27],matmul:[1,2,5],matnat:25,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,21,23,26,27],matplotlibdeprecationwarn:[6,13,19],matric:[0,1,3,4,6,7,8,11,13,16,17,27],matrix:[0,2,3,4,6,7,8,10,13,15,16,19,20,21,23],matshow:1,matter:[2,3,13,27],max:[0,1,2,3,4,9,10,12,13,24,26],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_h:[],max_it:[0,1,7,8,9,11,13,26],max_iter:14,max_leaf_nod:10,max_pooling2d_49:[],max_pooling2d_50:[],max_queue_s:[3,4],max_sampl:10,max_w:[],maxdegre:[0,6,10,27],maxdepth:10,maxim:[1,4,5,7,8,11],maximum:[0,2,3,5,7,8,9,10,13,14,26,27],maxpolydegre:[5,6],maxpoolin:[],maxpooling2d:3,mbox:[5,6,19,27],mccorduck:[],mcculloch:12,md:[11,19],mdoel:4,mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,26],mean_absolute_error:[0,26],mean_divisor:14,mean_i:23,mean_matrix:14,mean_squared_error:[0,4,6,7,10,26,27],mean_squared_log_error:[0,26],mean_vector:14,mean_x:23,meaning:[0,4,7,26],meansquarederror:[0,26],meant:[2,3,7,10,13],measur:[0,1,2,5,6,9,11,12,14,19,20,23,26,27],mechan:[0,4,21,23,26],median:[0,26,27],medicin:12,medium:[4,8,13,20],medv:0,meet:[0,24],mehta:[0,20,26,27],mek4270:21,member:[],memori:[3,4,11,12,13,18],mention:[0,12,13,19,20,21,23,26],mere:[0,15,20,26],meshgrid:[2,5,6,8,9,10,11,19,27],messag:[5,13],messi:2,met:[0,3,8,27],metal:[3,4],meteorolog:[9,21],meter:[6,27],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,20,21,23,25,27],metion:[6,19],metric:[0,1,3,6,7,9,10,14,15,16,26,27],metropoli:[17,26],mev:[0,23,26],mgd:13,mglearn:[17,26],mgrid:13,mhjensen:[2,3,6,7,8,9,11],mi:10,mia:[24,26],michael:20,michigan:26,microsoft:25,mid:1,midel:4,midnight:16,midpoint:9,might:[0,1,2,4,6,9,13,27],mild:9,mileston:[],millimet:[6,27],million:[0,26,27],mimic:12,min:[0,2,5,8,9],min_:[0,2,5,14,26,27],min_samples_leaf:9,mind:[0,6,13,19,26,27],mindboard:4,mine:[17,26],mini:[1,11,12,13,20],minibatch:[1,11,13],minibathc:13,miniforge3:[0,2,3,4,6,7,8,9,11,13,26],minim:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,19,27],minima:[0,1,7,13,26],minimum:[0,1,2,6,8,9,11,13,27],minmaxscal:[0,27],minor:[6,13,19,23],minst:1,minu:7,mirjalili:26,mirror:9,misc:[6,19],misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10],mistak:4,mistakenli:[],mit:25,mix:[1,2,26],mixtur:13,mk:[9,18],mkdir:[0,6,7,9,26,27],ml:[0,1,10,13,18,19,20,21,27],mlab:23,mlbook:26,mle:[5,7],mlp:1,mlpclassifi:1,mlpregressor:[0,26],mm:18,mml:27,mn:[12,23],mnist:[1,11,20],mnist_784:[],mod:23,mode:[22,24,26],model:[2,3,5,7,8,9,10,11,13,14,15,16,17,19,23,25,27],model_select:[0,1,3,5,6,7,9,10,11,26,27],moder:10,modern:[0,6,7,17,26],modif:[2,12,13],modifi:[0,1,3,5,7,8,10,12,13,26,27],modul:[0,7,9,11,18,26],modular:23,modulo:23,moe:[11,27],moment:[5,6,13,23],moment_correct:[],momentum:20,momentum_schedul:[],mondai:26,monitor:13,monochrom:[],monoton:[5,12,23],mont:[0,6,17,23,25,26],moor:[5,6],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,17,20,21,23],moreov:[0,3],morten:[24,26,27],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,19,23,26,27],mostli:[1,11],motion:[0,13],motiv:[1,4],mouth:[],move:[0,4,5,6,7,9,12,13,14,19,23,27],mpl:[0,7,26],mpl_toolkit:[2,6,13,19],mplot3d:[2,6,13,19],mplregressor:1,mse:[0,4,5,6,9,10,15,16,19,20,21,26,27],mse_simpletre:10,mselassopredict:5,mselassotrain:5,mseownridgepredict:6,msepredict:5,mseridgepredict:[0,5,6],msetrain:5,msg:0,msle:[0,26],mt:[7,12],mu0:23,mu1:23,mu2:23,mu:[0,6,11,13,23,26],mu_1:27,mu_:[6,23,27],mu_i:[6,27],mu_n:11,mu_x:23,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,18,19,21,23,26,27],multi:[0,1,3,7,17,26],multiclass:[1,7],multidimension:[11,12,26],multiindex:[],multilay:1,multinomi:7,multipl:[2,4,5,6,7,12,13,23,27],multipli:[3,5,6,11,13,18,23,27],multiplum:8,multivari:[0,2,10,11,17,23,26],multivariate_norm:[11,14],multiwai:[],murphi:[11,25,26],must:[0,1,2,5,6,8,10,12,13,14,23,27],mut_add:[],mutabl:[],mutat:7,mutual:[1,3,6,13],mx_:23,myenv:[0,2,3,4,6,7,8,9,11,13,26],myriad:[0,15,17,26],mz1:23,mz2:23,n1:18,n2:18,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,19,20,23,26,27],n_0:[12,23],n_:[1,2,3,8,12,23],n_boostrap:[6,10],n_bootstrap:6,n_categori:[1,3],n_cluster:14,n_compon:11,n_epoch:13,n_estim:10,n_examples_to_gener:4,n_featur:1,n_filter:3,n_hidden:2,n_hidden_neuron:[0,1,26],n_i:23,n_input:[0,1,3,27],n_instanc:9,n_iter:[],n_iter_i:[7,9,11],n_job:10,n_k:14,n_l:[12,23],n_layer:1,n_m:9,n_neuron:1,n_neurons_connect:3,n_neurons_layer1:1,n_neurons_layer2:1,n_point:14,n_sampl:[6,8,9,10,14],n_split:6,n_step:4,n_t:2,n_x:2,na:[],nabla:[1,13],nabla_:[2,13],nabla_w:13,nafter:[],nag:13,naimi:[0,26],naiv:7,naive_kmean:14,najafi:[24,26],nall:0,namd:[],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,17,18,19,21,23,24,26,27],nameerror:[6,10,19],nan:[],narrow:13,nary_f:[2,13],nary_op_arg:[2,13],nary_op_kwarg:[2,13],nary_oper:[2,13],nation:[1,5],nativ:[17,26],natur:[0,1,4,8,9,12,13,19,20,21,23,25,26],navier:12,nb:23,nb_:18,nbconvert:26,nd:14,ndarrai:[2,6],ndef:13,nderiv:[],ne:[9,10,18,23,27],nearest:[1,3,6,11],nearli:13,neat:26,neatli:[],neccesari:6,necess:2,necessari:[0,1,3,4,8,14,26],necessarili:[0,4,11,23,26],necesserali:5,necessit:[],neck:7,need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,27],neg:[0,1,3,5,6,7,10,13,18,23,26],neg_mean_squared_error:6,neglect:23,neglig:23,neighbor:[3,6,11],neither:[4,13],neq:[13,14,23],nerual:[],nervou:12,nest:[2,9,12],nesterov:13,net:[2,4,12],netlib:[18,26],network:[0,9,13,17,25,27],networkd:21,neural:[0,13,17,25,27],neural_network:[0,1,2,26],neuralnetwork:1,neuralnetworksanddeeplearn:[],neuron:[1,2,3,4,12],neutral:[0,26],neutron:[0,26],never:[1,3,4,6,9,23],new_box:13,new_chang:13,new_hobbit:26,new_root:13,new_trac:13,new_tracing_count:[3,4],new_windows_first_dim:[],new_windows_sec_dim:[],newaxi:[0,3,6,9],newli:[0,26],newton:[1,7,8,13,23],next:[0,1,2,3,4,5,6,8,9,13,14,26,27],next_guess:13,next_input:4,next_nod:[],nf8_grad:13,nfrom:13,ng:1,ngini:9,nhow:[],ni:14,nice:[0,1,5,11,26,27],nielsen:20,nimport:13,nip:[],niter:13,nitric:0,nlambda:[0,5,6],nlp:25,nm:23,nm_n:[0,26],nmnm:[],nmse:6,nn:[2,5,6,12,18],nn_model:1,nnmin:2,node:[1,2,3,9,10,12,20,21],node_constructor:[],node_index:[],nois:[0,4,5,6,8,9,10,13,15,16,19,26,27],noise_dimens:4,noisi:[1,6,19],non:[0,1,3,4,5,6,7,9,10,11,12,13,14,18,19,23,26,27],noncommerci:[20,21],none:[0,1,2,3,4,5,9,10,13,23,26,27],nonetheless:[],nonlinear:[3,6,8,9,11,12],nonneg:[6,9,13],nonparametr:6,nonsens:23,nonsingular:18,nonumb:[3,7,8,13,18],nonxla:[3,4],nor:[1,4,13],norm:[0,1,5,6,8,11,13,26,27],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,26,27],normali:[18,26],norvig:[],norwai:[6,19,20,21,26],notat:[0,2,5,6,13,14,23,26,27],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,23,25,26],notebook:[0,1,3,9,15,17,19,20,21,26],notesexercise5week452022:[],notessep14:[],notessep28:[],noth:[1,2,5,8,12,14,23,27],notic:[4,5,12,13,18,23,26],notimplementederror:[],notion:3,noutput:[],nov:[20,21],novel:[3,6,10],novemb:[1,22,24,26],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,18,19,20,21,23,26,27],nowadai:[0,1,3,9,17,26],nox:0,np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,19,23,26,27],npr:2,nprint:13,npv:[],nsampl:[6,9],nt:2,nthi:0,ntrained_model:6,nu:23,nuclear:[5,27],nuclei:[0,23,26],nucleon:[0,26],nucleu:[0,26],num:4,num_allow_arg:0,num_class:[],num_coordin:2,num_equ:[],num_hidden_neuron:2,num_it:2,num_iter:[],num_neuron:2,num_neurons_hidden:2,num_not:[],num_output:[3,4],num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,24,26],numberid:7,numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,18,25,26,27],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,23,27],numpy_vjp:[],numpy_wrapp:[],nunmpi:[5,27],nvalu:9,nx:[2,13],nx_test:6,nx_train:6,nx_train_mean:6,ny:23,ny_pr:6,ny_train:6,ny_train_mean:6,nz:[],o:[0,6,7,8,9,11,15,18,24,25,26],o_j:[],obei:[6,11,13,27],object:[0,1,2,4,6,8,10,13,18,26],obliqu:[5,27],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,23],obtain:[0,1,5,6,7,8,9,10,12,13,14,18,19,20,23,26,27],obviou:[5,6,11,23,27],obviouli:26,obvious:[0,4,5,6,18,20,26],oc:27,occas:[],occasion:[],occupi:0,occur:[0,6,8,9,18,23,26],occurr:[],oct:[],octob:[22,24,26],od:[0,21],odd:[0,3,7,26,27],odenum:2,odesi:2,odin:26,oen:0,off:[1,3,4,5,9,13,23],offer:[6,11,17,18,22,24,26],offic:[24,26],offici:[22,26],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,23,26,27],oftentim:[],ofter:[18,26],og:[],ol:[0,13,15,16,20,26,27],old:[1,5,10,13],oldest:[],ols_fit:[],ols_fit_beta:[],ols_sk:6,ols_svd:6,olsbeta:[0,5],omega:[2,3,6],omega_0:3,omiss:[],omit:[0,5,26,27],on_train_batch_begin:[3,4],onc:[1,6,9,11,13],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,17,18,19,20,21,23,24,26,27],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,18,19,21,26,27],ones_lik:4,ong:27,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,26,27],onlin:[11,22],onto:[5,11,27],op_nam:[3,4],open:[0,1,4,6,7,9,15,17,19,21,22,24,26],oper:[0,1,3,5,6,10,11,12,13,15,17,23,26,27],operation:23,oplu:23,opmiz:13,opportun:0,oppos:[6,13],opposit:[1,5,8,27],opt:[1,5,20,21,26],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16,19,20,21],optimis:[1,3],optimist:[],optimizer_v2:3,option:[0,1,3,5,6,7,8,9,11,18,19,20,27],optionalxlacontext:[3,4],optmiz:[1,8,13,27],oral:26,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,18,19,20,21,23,26,27],ordinari:[0,2,3,7,11,13,15,16,17,20,21],ordinrari:[],oreilli:[25,26],org:[0,3,4,7,9,11,17,18,25,26],organ:[6,7,10,18],orient:[1,5,23,27],origin:[0,3,5,6,8,11,12,13,18,26,27],original_imag:[],orthogn:[5,27],orthogon:[0,5,6,8,11,13,18,26,27],orthonorm:[5,27],os:[0,1,4,5,6,7,8,9,24,26,27],oscar:1,oscil:[3,13],oslo:[0,15,17,19,20,21,22,24,26,27],osx:[0,15,17,19,21,26],other:[0,1,2,3,5,6,7,8,10,13,14,15,17,19,20,21,22,23,24,25],otherwis:[0,1,4,7,13,18,20,26],ouput:[5,7,12],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,19,20,23],ourmodel:0,ourselv:[0,5,6,8,11,13,21,26,27],out1:[],out2:[],out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,23,26,27],out_deriv:[],out_fil:9,out_h:[],out_w:[],outcom:[0,7,9,10,12,23,27],outdoor:9,outer:[6,12,13],outfil:4,outgrad:2,outlier:[0,8,26,27],outlin:[6,10,11],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,18,19,20,21,23,26,27],output_bia:1,output_bias_gradi:1,output_func:[],output_grad_tr:[],output_lay:[],output_nod:[],output_shap:4,output_weight:1,output_weights_gradi:1,outputlay:[],outputlayer1:12,outputlayer2:12,outsid:4,over1:13,over:[0,1,3,4,5,6,9,10,12,13,18,19,26,27],overal:[1,10],overcast:9,overcom:[12,13],overdetermin:[0,26],overfit:[0,1,3,6,9,10,13],overflow:[1,5],overflowerror:[],overhead:12,overlap:[3,7,8,9],overlin:[0,5,6,9,10,11,14,18,26,27],overst:0,overtrain:4,overview:3,overwritten:[],own:[4,5,6,8,12,13,17,18,19,21],owner:0,ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6],ownypredictridg:0,ownytilderidg:0,oxid:0,p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,23,26,27],p_1:[],p_2:[],p_:[2,4,8,9],p_hidden:2,p_i:[5,23],p_j:23,p_n:23,p_output:2,p_x:23,pack:[0,26],packag:[0,1,2,3,4,5,6,7,8,9,11,13,15,17,19,20,21,23,27],packtpub:26,packtpublish:26,pad:[3,4],pad_imag:[],padded_height:[],padded_imag:[],padded_img:[],padded_width:[],page:[0,17,26],pai:[0,1,9,13],paid:21,pair:[0,2,3,9,17,23,26],pamilla:[],panda:[0,4,5,6,7,9,11,15,17,19,21],panel:26,paper:1,paradigm:[0,26],parallel:[3,4,10,13,17,18,26],param:[2,4],param_distribut:[],param_grid:[],paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,19,20,21,23],parameter:[0,6,10,19,26,27],parametr:[0,6,15,16,26,27],paramt:[3,5],parent:2,parent_argnum:[],parser:0,part:[0,1,3,5,6,10,18,22,23,24,26],partial:[0,1,5,6,7,8,10,11,12,13,16,23,26,27],particip:[17,22,24,26],particl:[0,4,13,23,26],particular:[0,1,2,3,5,6,9,10,11,12,13,16,19,23,25,26,27],particularli:[5,6,8,11,13,23,27],partit:[1,4,9],partli:[6,26],pass:[2,3,12,14],password:[19,20,21],past:[10,23],patch:[6,23],path:[0,4,6,7,9,15,17,26,27],pathcollect:[],patient:7,patter:4,pattern:[0,3,4,12,21,22,25,26],pauli:[0,26],pavisj:[],pc:[11,17],pca:[0,7,17,26,27],pcolor:6,pcolormesh:6,pd:[0,4,5,6,7,9,11,26,27],pde:[2,21],pdf:[0,3,4,5,6,9,19,20,21,25,26],pedagog:[0,26,27],peel:[],penal:[6,27],penalti:[6,13,19,27],penros:[5,6],pentagon:13,peopl:[0,1,9,13,17],per:[0,1,6,22,24,26],perc_print:[],percentag:[0,10,11,24],perceptron:[0,1,7,26],peregrin:26,perfect:[0,1,13,26],perfectli:[4,6],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,23,26,27],performac:4,perhap:[0,5,13,21,26,27],perimet:[1,9],period:[1,4,23],permut:11,persist:13,person:[5,6,7,22,24,26,27],perspect:[21,25],pertin:[12,20,26],petal:[8,9],peter:[25,27],phantom:23,phase:[6,12],phd:[],phenomena:23,phi:8,phi_k:8,philosophi:13,phone:[24,26],photo:4,photon:[],php:20,phrase:[0,26],physic:[0,1,4,7,12,13,20,21,23,24,25,26,27],physicist:20,pi:[2,3,5,6,7,9,12,13,21,23],pick:[1,9,10,11,13,14],pickl:1,pictur:[0,26],pie:[17,26],piec:[11,14],pillow:[0,15,17,19,21,26],pinv:[5,6,13,27],pip3:[0,1,15,19,21,26],pip:[0,1,15,17,19,21,26],pipelin:[0,6,8,10,27],pippin:26,pit:4,pitfal:[6,27],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,18,19,21,26],placement:[],plai:[0,3,4,5,6,8,11,17,26,27],plain:[8,10,12,13,14,20],plan:[6,9,24,25,26],plane:[8,9],plateau:5,platform:[3,4,17,26],plausibl:12,pleas:[6,7,9,11,13,19,20,21,24,26],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,26,27],plot_confusion_matrix:[7,10],plot_convolution_result:[],plot_count:6,plot_cumulative_gain:[7,10],plot_data:1,plot_dataset:8,plot_decision_boundari:[9,10],plot_import:10,plot_max:4,plot_min:4,plot_model:4,plot_numb:4,plot_predict:8,plot_regression_predict:9,plot_result:4,plot_roc:[7,10],plot_surfac:[2,6,13,19],plot_train:9,plot_tre:[9,10],plqvvvaa0qudcjd5baw2dxe6of2tius3v3:[],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],plu:[0,3,5,7,26,27],pm:8,pmatrix:2,pml:25,pn:3,png:[0,4,6,7,9,26,27],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,19,21,23,24,26,27],point_1:4,point_2:4,poisson:[17,23,26],poli:[6,8],poll:[],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:13,poly_degre:[],poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,27],polygon:13,polym:12,polymi:19,polynomi:[0,5,6,7,8,9,10,11,15,16,19,20,26,27],polynomial_featur:6,polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,27],polytrop:[0,6,26],pool:3,pool_siz:3,poolin:[],pooling2dlay:[],pooling_act:[],pooling_lay:[],poor:[1,13],poorli:[0,27],pop:[],popul:[0,5,26,27],popular:[0,1,3,6,7,8,9,11,12,15,17,18,19,21,23,27],popularli:[0,26],portabl:10,portion:[11,13],pose:[0,4,5,6,11,23,26],posit:[0,1,2,3,5,7,8,10,11,13,14,18,23,26,27],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,19,20,21,23,24,26,27],possible_gradient_typ:[3,4],possible_gradient_types_non:[3,4],possibletapegradienttyp:[3,4],post:[],posterior:5,postpon:[0,26,27],postscript:[19,20,21],postul:5,potenti:[0,3,5,6,12,13,21,26,27],pott:12,power:[0,1,5,6,8,9,12,13,26,27],pp:[5,6],ppv:[],practic:[0,5,6,7,8,19,20,21,23,27],practition:[0,1,3,26],pre:26,preced:[1,11,12,23],preceed:4,preceq:8,precis:[0,2,5,11,13,18,19,20,21,23,26,27],pred:6,pred_format:[],pred_train:[],pred_val:[],predicit:0,prediciton:[],predict:[0,1,5,6,7,8,9,10,15,16,17,19,21,25,26,27],predict_prob:1,predict_proba:[7,10],predictor:[0,5,6,7,9,10,11,26,27],prefer:[0,1,6,8,9,11,13,15,17,19,20,21,26],prepar:[0,6,18,19,20,21,26,27],preprocess:[0,4,6,7,8,9,10,11],prerequisit:0,prescript:[19,20,21],presenc:13,present:[0,5,6,7,9,12,13,18,19,20,21,23,26,27],preserv:[3,11,18],press:[13,25],presum:[],pretrain:[1,4],pretti:[0,4,8,9,15,17,19,21,26],prev_a:[],prev_centroid:14,prev_g:[],prev_g_flag:[],prev_lay:[],prev_nod:[],prevent:[13,23],previou:[0,1,2,3,4,5,6,8,10,11,12,13,18,19,20,21,23,27],previous:[2,3,9,10,23],previous_nod:[],price:[0,4,9,13],primal:8,primari:[0,7,26],prime:23,primit:[],princip:[0,5,7,17,21,26,27],principl:[0,6,7,8,14,26],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,23,26,27],print_funct:[8,9],print_length:[],printout:[0,26],prior:[0,5,6,26],privat:0,pro:20,prob:[1,23],probabilist:[0,25,26,27],probabl:[0,1,3,4,6,7,10,13,17,26,27],problem:[0,3,4,5,6,7,8,9,10,11,12,16,17,18,19,20,23],probml:25,proce:[0,5,6,7,8,9,10,11,13,18,26,27],procedur:[2,4,5,6,8,10,11,13,19,27],proceed:18,process:[0,2,4,6,9,10,12,13,15,17,18,19,21,23,25,26],processor:[],prod:25,prod_:[1,5,7],produc:[0,3,4,5,6,9,10,11,12,13,17,18,19,21,23,26,27],product:[0,1,3,5,6,7,8,12,13,16,17,18,26,27],profess:[0,26],profession:[],professor:[],profil:[3,4],profile_util:[3,4],progag:20,program:[0,1,4,5,6,8,12,14,15,16,17,18,22,23,24,26,27],programm:18,progress:[1,4,14],prohibit:6,project1:[6,19],project:[0,1,2,3,5,11,13,17,22,24,27],project_root_dir:[0,6,7,9,26,27],promin:12,promis:8,promot:[24,26],prone:9,pronounc:[13,17,26],proof:[0,11,12,13,26],prop:[],propag:[2,3,13,20],proper:[0,2,6,7,19,21],properli:[1,6,8,10,13,19,20,21],properti:[0,1,3,12,13,16,18,26],proport:[0,1,5,9,11,13,16,23,26,27],propos:[1,4,6,10,19,20,21,26],propto:[5,13],proton:[0,26],prove:[3,13],provid:[0,1,3,4,5,6,8,9,10,12,13,15,17,18,19,20,21,23,26,27],proxi:[1,13],prune:9,pseudo:[18,23],pseudocod:[19,20,21],pseudoinv:5,pseudoinvers:[5,6],pseudorandom:[6,23],psycholog:[0,26],pt:13,ptratio:[],publish:21,punish:[0,1,26],pure:[3,9,23],purest:9,puriti:9,purpos:[0,3,10,12,14,26],push:[],put:1,py:[0,1,2,3,4,5,6,7,8,9,11,13,19,26],pycod:26,pydata:17,pydot:9,pyhton2:26,pylab:[0,7,26],pylint:[3,4],pypi:17,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],pythagora:5,python2:[0,15,19,21,26],python3:[0,2,3,4,6,7,8,9,11,13,15,17,19,21,26],python:[1,2,3,4,5,6,8,11,12,13,14,16,19,20,21,23,27],pytorch:[0,17,19,20,21,26],pywrap_tf:[3,4],q:[5,6,8,11,23,27],qp:8,qquad:[2,11,13,18],qr:[5,6,18,27],quad:[1,13,18],quadrat:[0,8,9,13,15,16,26],qualit:[4,9,19,20,21,23],qualiti:[0,9,15,16,17,26,27],quantifi:1,quantil:10,quantit:[0,6,9,19,20,21,26],quantiti:[0,2,5,6,7,9,10,11,12,14,16,18,23,26,27],quantiz:[],quantum:[4,12,21,25,26],quark:[],quartil:[0,27],qubit:[],quench:5,queri:9,question:[0,5,6,9,11,12,13,19,24,26,27],qugan:4,quick:[4,23],quick_execut:[3,4],quickest:[],quickli:[1,3,9,11,13],quit:[1,5,6,9,10,12,27],quot:4,r2:[0,5,6,20,21,26,27],r2_score:[0,26],r2score:[0,26],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,23,27],r_1:9,r_2:9,r_j:9,r_m:9,racial:[],racist:[],rad:0,radial:[0,8,12],radioact:23,radiu:[0,1,9,27],rag:2,rain:9,rais:[0,2,13],ramp:1,ran0:23,ran1:23,ran2:23,ran3:23,rand:[0,4,5,6,9,10,13,15,16,18,26,27],randint:[6,9,13],randn:[0,1,2,5,6,9,11,13,15,16,26,27],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,17,18,19,21,26,27],random_forest_model:10,random_index:13,random_indic:[1,3],random_st:[0,7,8,9,10,11],randomforestclassifi:10,randomizedsearchcv:[],randomli:[1,6,9,13,14],randuniform:[],rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,18,23,26,27],rangl:[0,6,11,23,26,27],rangle_x:23,rank:[5,27],rankdir:4,raphson:[1,8,13],rapid:[],rapidli:0,rare:[1,13,26],raschka:[26,27],rasckha:26,rate:[0,1,2,3,4,8,9,10,12,13,20],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,26,27],ratio:[4,7,9,10,11],ration:[],rational:[0,26],ravel:[5,6,7,8,9,10,11,13,18,27],raw:3,raw_df:[],rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,23],rcond:[0,26,27],rcparam:[0,1,3,7,8,9,10,23,26],re:[2,4,13],reach:[1,4,5,6,7,9,10,11,12,13,14],read:[0,2,3,4,5,6,7,8,11,12,16,18,19,20,21,22,23,25],read_csv:[0,6,7,9,26],read_fwf:[0,26],readabl:[],reader:[0,6,18,23,26,27],readi:[0,1,5,6,8,10,11,12,18,19,26],readili:1,readthedoc:17,real:[0,1,2,4,7,10,11,12,13,18,27],real_loss:4,real_output:4,realist:8,realiti:23,realiz:[1,12],realli:[0,1,26],rearrang:13,reason:[0,1,3,4,10,13,25,26],reassign:1,reat:[],reber:[],recal:[5,6,9,10,11,12,18,23,26,27],recast:3,receiv:[1,3,10,12,23],receiver_operating_characterist:[],recent:[0,1,2,3,4,6,10,13,19,25,26],recept:[3,12],receptive_field:3,recip:[0,6,7,18,19,20,21,26,27],reciproc:5,recogn:[0,4,5,10,26],recognit:[0,1,3,12,22,25,26],recommen:26,recommend:[0,2,3,4,5,6,8,13,15,17,18,19,20,21,25],reconsid:9,reconstruct:11,record:[10,19,20,21,22,24,26],recov:[],rectangl:[9,13],rectangular:[5,27],rectifi:[1,3,12],recur:[0,17,26],recurr:[0,1,17,21,26],recurs:[9,17,18,26],red:[0,3,4,6,8,9],redefin:[0,10,26,27],redefinit:[],reduc:[1,3,5,6,9,10,11,13,26],reduct:[0,10,11,17,23,26,27],refer:[0,1,2,3,5,6,7,9,11,12,13,14,18,19,20,25,26,27],referenc:2,refin:12,refit:6,reflect:[0,1,4,5,19,20,21,23,26],refrain:[],refresh:[17,26],refreshprogrammingskil:26,reg:[10,11],regard:[1,9,13],regardless:12,region:[3,4,6,9,12,19,21],regist:[6,19,23],reglasso:5,regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,17,18,21],regressor:[0,7,10,26],regridg:[0,5,6],regular:[0,3,4,5,6,7,9,13,20,24,26,27],regularis:6,regularizi:[],reilli:[0,15,25,26],reinforc:[0,8,17,26],reiniti:[],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,23,26,27],relat:[0,1,3,4,5,11,13,14,18,21,23,26],relationship:[0,4,9,26],relativeerror:[0,26,27],releas:[1,3,4,6,13,17,19,20,21,26],relev:[0,1,5,7,11,15,17,19,20,21,23,26],reli:[0,6,8],reliabilti:[19,20,21],reliabl:[7,23],relu:[3,4,20,21,26],remain:[1,2,4,6,12,18,23,27],remaind:23,reman:2,remark:1,rememb:[0,8,13,18,19,20,21,26],remind:[0,5,11,13,18,23,27],remov:[0,4,5,6,27],render:[0,26,27],reorder:[5,7,27],reorgan:[0,26],repeat:[0,1,3,4,5,6,9,10,11,13,14,18,19,20,23,26],repeated:26,repeatedli:[0,6,10,13],repet:3,repetit:[6,26,27],rephras:13,replac:[0,1,3,4,5,6,10,12,14,15,16,17,19,20,21,26,27],repli:[],replica:6,repo:[19,20,21],report:26,reportexampl:19,reportsampl:[],repositori:[0,4,19,20,21,26],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,20,23,26,27],represent:[0,1,3,6,23,26],representd:3,reproduc:[0,5,6,9,12,15,16,17,19,23,26,27],repuls:[0,26],request:[0,13],requir:[0,1,3,4,5,6,8,9,11,12,13,18,21,26,27],rerun:[],res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:[6,19],resampl:[0,7,10,17,26,27],rescal:[0,11,12,27],rescu:5,reseach:[6,19],research:[0,4,13,17,21,25,26],researchg:[],resembl:[6,23],reserv:[1,5,6,23],reservoir:[],reset:[],reset_weight:[],reset_weights_independ:[],reshap:[0,1,2,3,4,6,8,9,10,15,16,18,26,27],residenti:0,residu:[0,5,13,26],resiz:[5,27],resolv:[],resourc:26,resourcewarn:[],respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,19,21,23,26,27],respond:12,respons:[0,7,9,12,26,27],rest:[0,5,27],restat:[0,12,26],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,26],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,26],result_ndim:[],retail:0,retain:[5,6,27],rethink:[],retrain:[],retriev:26,return_data:14,return_sequ:4,return_x_i:9,reus:[1,3,6,19,20],reusabl:[],reveal:[0,12,26],revers:[1,18],reversed_lay:[],review:[17,18],revisit:14,revolut:26,reward:[0,4,26],rewrit:[0,3,5,6,7,8,10,11,12,13,18,19,23],rewritten:[2,6,8,10,23],rewrot:13,rf:10,rfloor:[],rgb:3,rgoj5yh7evk:17,rh:6,rho2:[],rho:[0,10,13,26],rho_1:10,rho_2:10,rho_m:10,rich:[0,26],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,17,20,21,26],ridge_fit:[],ridge_fit_beta:[],ridge_sk:6,ridgebeta:5,ridgecv:[],right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,18,19,23,26,27],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,23,26,27],rigor:[0,26],ring:6,rise:[0,26],risk:[0,13,15,16,26],rival:4,river:0,rl:[],rlm:26,rm:[0,23],rmb:[],rms_prop:[],rmse:0,rmsporp:13,rmsprop:[1,3,4,13,20],rnd_clf:10,rng:23,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:23,rntrick2:23,rntrick3:23,rntrick4:23,ro:[0,13,26],robert:[19,25],robust:[0,26],robustscal:[0,27],roc:[7,10,21],rod:21,role:[0,2,5,6,8,17,26,27],roll:6,room:[0,24,26],root:[0,5,9,13,23,27],rot90:[],rot:26,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13],routin:[13,18,26],row:[0,1,2,5,6,7,9,11,18,26,27],rr:[5,27],rrr:[5,27],rubinfeld:[],rug:13,rule:[0,1,5,6,13,19,26,27],run:[0,1,2,3,4,5,6,8,9,11,13,15,17,19,20,21,26,27],runtim:[1,6,14],runtimewarn:[1,6],russel:[],rust:[0,15,17,18,26],rv_frozen:[],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,19,20,21,23,26,27],s_1:6,s_2:[],s_:[3,6],s_i:[6,7],s_j:6,s_k:6,saddl:13,sadli:[],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,18,19,21,23,26,27],said:[6,9,13],sake:[0,5,7,11,26,27],sale:[0,26],sam:26,same:[0,1,2,3,4,5,6,8,9,11,12,14,18,19,21,23,26,27],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,23,26,27],sample_vari:14,sample_weight:[3,4],sampleexptvari:23,samwis:26,sastri:11,satisfactori:[0,26],satisfi:[1,2,3,6,8,13,18,23],satur:[1,6],save:[0,4,6,7,9,13,26,27],save_fig:[0,6,7,9,10,26,27],savefig:[0,4,6,7,9,23,26,27],savetxt:4,saw:[5,27],scalabl:10,scalar:[2,5,6,10,13,27],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,24,26],scale_mean:4,scale_std:4,scaler:[0,7,8,9,10,11,27],scan:[5,7],scari:5,scatter:[0,1,6,7,8,9,14,26,27],scenario:[6,13],schedul:[13,24],scheduler_arg:[],scheduler_bia:[],scheduler_weight:[],schedulers_bia:[],schedulers_weight:[],scheme:[1,13,21],schmidhub:[],scholar:[],schrage:23,schuld:[],scienc:[0,1,10,12,13,17,22,23,24,25],scientif:[0,15,17,19,20,21,26],scientist:[0,26],scikit:[3,5,6,7,8,9,10,13,17,18,19,20,21,22,25],scikit_learn:[0,16],scikitlearn:26,scikitplot:[7,10],scipi:[0,3,5,6,13,15,17,18,19,21,26,27],scl:6,score:[0,1,3,6,7,9,10,11,15,16,19,20,21,24,26,27],scores_kfold:6,scratch:[1,13],sdg:13,seaborn:[0,1,3,6,7,20,26],seamless:[0,15,17,19,21,26],seamlessli:[],search:[0,1,3,5,9,13,26],sebastian:26,sebastianraschka:26,sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,19,20,23,24,26,27],second_correct:[],second_mo:[],second_term:[],secondeigvector:11,secondli:12,section:[4,11,18,23,27],sector:0,sedol:[],see:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,23,26,27],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,19,23,26,27],seed_imag:4,seek:[1,2,8],seem:[1,3,4],seemingli:[0,26],seen:[0,1,3,5,10,12,23,26],segment:13,segreg:[],seismic:6,seldomli:[0,26],select:[1,5,6,8,9,10,11,19,20,21,22,23,24,25,26,27],self:[1,3,4,5,26,27],sell:4,semest:[7,22],semi:[8,13],semilogx:6,send:[5,12,13,24,26],senior:[22,24],sens:[0,4,6,8,19,26],sensibl:3,sensit:[0,5,6,9,13,26,27],sent:2,sentdex:[],sentenc:[4,12],sep:[],separ:[0,1,2,4,6,8,9,12,14,15,17,19,21,23,26],seper:[],septemb:[19,26],sequenc:[2,3,4,7,9,10,12,13,17,18,23,26],sequenti:[1,3,4,10,12,23],sequential_49:[],seri:[0,1,2,3,4,5,6,10,11,12,13,18,26,27],serif:[0,7,23,26],serv:[0,1,2,3,5,7,13,19,25,26,27],servic:[19,20,21],session:[1,19,22,24,26],set:[1,4,5,6,7,8,10,11,13,14,16,17,18,19,20,23,24],set_major_formatt:[6,19],set_major_loc:[6,19],set_tick:[1,8],set_ticklabel:1,set_titl:[0,1,2,3,7,12,14,26],set_xlabel:[0,1,2,3,7,12,26],set_xlim:[7,12],set_xticklabel:1,set_ylabel:[0,1,2,3,7,26],set_ylim:[7,12],set_ytick:7,set_yticklabel:[1,6],set_zlim:[6,19],seth:4,setminu:6,setosa:[8,9],setosa_or_versicolor:8,setp:6,setup:[1,4,6,8,17,20,26,27],sever:[0,3,5,6,7,8,9,11,12,13,17,18,20,23,26,27],sgd:[1,3,20],sgd_clf:8,sgdclassifi:8,sgdreg:13,sgdregressor:13,sgn:[5,27],shall:[],shallow:13,shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,26,27],shape_bas:[],share:[1,3,26],she:7,shell:[],shift:[1,6,12,23],ship:3,shire:26,shortcom:13,shorten:4,shorter:23,shorthand:26,shortli:[18,26],should:[0,2,3,5,6,8,9,11,12,13,15,16,18,19,20,21,23,26,27],should_sync:[3,4],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,23,26,27],show_shap:4,showcas:[],shown:[0,4,5,7,8,9,11,12,13,18,27],shrink:[3,5,6,8,11,19,27],shrinkag:[5,6,27],shrunk:11,shuffl:[0,1,3,4,6,13,27],sick:[],side:[0,2,5,8,12,13,18,20,26],sigh:[17,26],sigma0:23,sigma1:23,sigma2:23,sigma:[0,1,5,6,7,10,11,12,13,18,19,23,26,27],sigma_0:[5,27],sigma_1:[5,27],sigma_2:[5,27],sigma_:[5,18,26,27],sigma_fn:[7,12],sigma_i:[0,5,26,27],sigma_j:[5,27],sigma_m:[6,23],sigma_n:[11,23],sigma_t:13,sigma_x:23,sigmoid:[1,2,4,7,8,10,12,20],sigmundson:[6,27],sign:[1,2,7,8,10,23,24],signal:[1,3,10,12],signatur:[3,4],signifi:4,signific:1,significantli:[1,13,21,23],sigurd:26,silli:[],sim:[4,5,6,13,19,23],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,18,19,20,21,26],similarli:[0,1,3,5,8,10,13,21,23,26,27],similiar:[],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,19,20,23],simple_rnn:4,simplefilt:[],simplepredict:10,simpler:[0,1,5,6,7,13,16,17,19,20,26],simplernn:4,simplest:[0,1,3,4,9,10,12,14,26],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,17,18,19,20,21,23,26,27],simplic:[2,5,6,7,8,9,10,11,12,14,27],simplicti:[5,27],simplifi:[0,6,9,15,17,19,21,26,27],simplist:[3,6,23],simul:6,simultan:6,sin:[0,1,2,3,4,9,12,13,18,21,26],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,18,23,25,26,27],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,18,20,23,26,27],singular:[0,6,13,18,19,26],sinusoid:3,site:[0,2,3,4,6,7,8,9,11,13,19,20,21,22,26],situat:[0,4,5,7,13,23,26,27],six:[3,23],size:[0,1,2,3,4,5,6,8,9,10,11,13,18,19,20,23,26],sketch:10,ski:9,skill:0,skip:[3,4,11],skiprow:[],skl:[0,6,26,27],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,26,27],skplt:[7,10],skrankefunct:[],sl:6,slack:8,sleep:[],slice:[2,18,26],slide:[0,3,15,16,19,20,21,23,26,27],slight:[6,13],slightli:[1,2,3,5,6,7,10,23,27],slope:[8,11,12],slow:[0,2,8,13,27],slower:[5,18,26,27],slowest:18,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,17,18,19,23,26,27],smaller:[0,1,2,5,6,8,9,11,13,23,26,27],smallest:[0,4,14,15,16,26],smallest_row_index:14,smooth:[0,3,6,9,13,19,21,26],sn:[0,1,3,6,7,26],sne:11,sneak:26,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,26,27],soar:6,sobel:[],sobel_kernel:[],social:0,societ:[],societi:[],socket:[],soft:[1,7,10,12],soften:8,softmax:[3,7],softwar:[0,8,15,17,18],sol:8,sole:[0,6,26],solid:[0,7],solut:[0,1,2,3,5,6,8,10,11,13,18,19,20,21,23,26,27],solution_ev:[],soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,18,19,20,26,27],solve_expdec:2,solve_ode_deep_neural_network:2,solve_ode_neural_network:2,solve_pde_deep_neural_network:2,solveod:2,solveode_popul:2,solver:[2,7,8,9,10,11,18,26],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,21,23,26],some_model:[6,27],somehow:4,someth:[0,1,3,4,7,9,11,19,20,21,23,26,27],sometim:[0,1,11,12,13,14,26,27],somewhat:[],soon:[18,24,27],sophist:[0,26],sopt:13,sort:[5,6,9,11,23,27],sound:[3,5],sourc:[0,1,3,6,15,17,18,19,20,21,23,26],space:[0,1,4,5,8,9,11,12,13,14,21,23,27],span:[0,3,5,9,11,18,21,26,27],spare:1,spars:[3,6,18,26],sparse_add:[],sparse_mtx:[18,26],sparsecategoricalcrossentropi:3,sparseobject:[],sparsiti:10,spatial:[1,2,3,12],speak:23,special:[6,7,10,12,13,18,23,26,27],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,17,18,19,20,21,23,25,26,27],specifi:[0,3,5,6,7,9,11,13,14,19,23,26],specifici:[0,10,26],spectacular:3,spectral:1,speech:[0,1,3,4,12],speed:[1,2,4,13],speedup:[],spend:23,spent:[19,20,21],sphere:[0,27],spin:6,spite:0,spline:8,split:[1,3,4,5,6,8,9,10,11,14,19,23],split_1659548960591:[],splite:0,splitter:[1,10],spontan:23,spot:3,spread:[0,11,23,26,27],spring:[],springer:[19,25,26],spuriou:13,sqquar:[],sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,23,27],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,18,20,23],squarederror:10,squaredeuclidean:14,squash:12,src:[],srtm:[6,19],srtm_data_norway_1:[6,19],stabil:[5,19,20,21],stabl:[0,4,5,6,7,9,11,17,26,27],stack:[3,4],stackabl:[],stacklevel:0,stage:[5,13,19,20,21],stai:[0,2,4,5,11,26,27],stand:[0,5,9,12,26,27],standadscal:27,standard:[0,1,4,5,6,7,8,10,12,15,16,18,19,20,21,23,26],standard_basi:[],standardscal:[0,6,7,8,9,10,11,27],stanford:13,start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,18,19,20,23,24,26,27],start_box:13,start_nod:13,start_tim:14,starting_point:[],stat:6,state:[1,2,4,5,6,7,8,10,11,12,13,17,20,21,23,27],statement:[0,7,18,26],stationari:21,statist:[0,1,3,4,7,9,10,11,12,13,14,18,19,22,25,27],statu:[0,7,9,11,26],stavang:[6,19],std:[0,4,6,26,27],stdout:[],steep:13,steepest:[],step:[0,1,2,3,4,6,7,9,10,11,12,13,14,18,19,26],step_fn:[7,12],step_length:13,step_num:[3,4],step_siz:[],steps_list:9,steps_per_epoch:[3,4],stereo:3,still:[0,2,3,5,6,11,13,21,23],stimuli:12,stk2100:[25,26],stk3155:[15,19,20,21,22,24],stk4021:[25,26],stk4051:[25,26],stk4155:[22,24],stk5000:25,stk:[25,26],stochast:[0,1,5,6,8,11,12,15,16,19,21,26],stock:4,stoke:12,stone:[0,7,19],stop:[1,4,7,9,11,13,14],storag:[5,27],store:[0,1,2,3,6,11,13,19,23,26],storehaug:[24,26],str:[1,3,4],straight:[0,6,8,13,26],straightforward:[0,2,3,5,6,8,9,10,13,18,26,27],strategi:[0,1,9,26],stratifi:6,strength:[0,5,14,27],strengthen:[],stretch:11,strict:[8,13],strictli:[8,13],stride:[4,18],strided_height:[],strided_width:[],strike:6,string:1,stroke:7,strong:[3,6,9,10,12,18,23],strongli:[0,8,17,18,20],stronli:0,structur:[0,1,2,3,6,9,10,12,17,26],stuck:[1,13],student:[0,19,20,21,22,24,25,26],studi:[0,3,4,5,6,7,8,11,12,13,17,19,20,21,25,26,27],studier:25,style:[0,7,9,18,26],sub:[9,12],subarg:13,subdivid:[0,18,26],subfield:0,subject:[6,8,23],submatric:[],submit:26,subplot:[0,1,3,4,6,7,8,9,10,13,14,19,26],subplots_adjust:[8,23],subprogram:[18,26],subract:[0,27],subregion:[],subroutin:[0,26],subsampl:[],subscript:1,subsequ:[1,4,5,6,12,18,23,27],subset:[1,6,9,12,13,17,26],subspac:[0,8,11,27],substanti:[9,10],substep:11,substitut:[3,6,12,18],subsubset:9,subtask:6,subtl:1,subtract:[0,4,5,6,11,13,18,19,23],subtre:9,subval:13,succeed:[0,4,26],succes:[],success:[3,7,9,13,23],successfulli:[4,9],sudo:[0,15,17,19,21,26],suffer:[0,1,2,5,10,26,27],suffici:[1,6,8,11,13],sugar:[],suggest:[1,13,20,25],suit:[8,12],suitabl:[0,23,27],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,23,26,27],sum_i:[0,2,5,6,8,13,19,27],sum_j:6,sum_ja_:0,sum_k:[6,8,12,18],sum_logist:13,sum_m:3,sum_n:3,sum_nx_:3,summar:[5,6,9,20],summari:[1,3,4,10,20,22],summat:[0,3,16,27],sundai:[],sunni:9,superconduct:[],superfici:3,superimposit:[],superposit:[],superscript:[1,12],supervis:[0,5,6,7,9,12,17,21,26,27],supplement:7,support:[0,1,9,10,11,13,17,21,26,27],suppos:[0,5,6,7,8,10,11,12,13,18,26,27],suppress:[5,13],sure:[0,1,4,6,19],surf:[6,19],surfac:[0,6,19,26],surpass:6,surpris:[0,26],surprisingli:[],surround:[3,17],survei:[0,5,6,26,27],svc:[8,9,10],svd:[0,6,11,26],svdinv:5,svm:[8,9,10,11],svm_clf:[8,10],swap:[],swarm:[],swath:[5,27],sy:13,symbol:[1,5,11,13,17,23,26,27],symmeteri:1,symmetr:[0,5,8,11,12,13,18,21,26,27],symmetri:[6,9],sympi:[0,15,17,19,21,26],synonim:23,syntax:13,syntaxerror:8,system:[0,1,3,4,6,7,9,10,12,13,15,17,18,19,21,26],systemat:[4,6],t0:[3,6,13],t1:[2,13],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26],t_0:[2,9,13],t_1:[13,21],t_2:21,t_:2,t_b:10,t_batch:[],t_i:[1,2,5,12,20,27],t_j:[12,21],t_k:9,t_test:[],t_train:[],t_val:[],tabl:[9,19,20,21,23,24,26],tabul:[0,26],tabular:26,tackl:4,tag:[2,3,4,5,6,7,12,13,14,18,23,27],taht:[0,26],tail:23,tailor:[2,8,11,26],taiwan:[0,26],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,19,23,26,27],taken:[0,1,3,6,10,13,18,26],tan:3,tangent:[1,4,12,13],tanh:[1,4,7,8,12,21],tape:[3,4],target:[0,1,3,4,5,6,7,8,9,10,11,12,20,26,27],target_nam:9,task:[0,1,3,6,9,11,12,14,19,26],tau:[3,5,23],taught:26,tax:0,taylor:[2,13],taylornr:13,tba:[],tc:8,td:[1,6,13,19,26],teach:26,teacher:[],team:1,teaser:0,techinc:[],technic:[0,5,6,13,15,26,27],techniqu:[0,1,8,10,13,17,23,25,26,27],technolog:[0,1],tek5040:[],tell:[0,4,6,10,11,13,23],temp1:1,temp2:1,temp:1,temperatur:[0,9,21,26],temporarili:1,ten:[3,26],tend:[3,5,6,8,9,10,12,13,14,27],tendenc:[0,26],tension:6,tensor:[3,4],tensorflow:[0,2,4,8,14,15,17,18,19,20,21,22,25,26,27],term1:[5,6,11,19,27],term2:[5,6,11,19,27],term3:[5,6,11,19,27],term4:[5,6,11,19,27],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,23,26,27],termin:[0,4,5,9,10,13,15,26,27],terrain1:[6,19],terrain:[6,19,20],terribl:[],test:[3,4,5,6,7,8,9,10,13,18,19,21,23],test_acc:3,test_accuraci:[1,3],test_error:6,test_imag:[3,4],test_ind:6,test_input:4,test_label:[3,4],test_loss:3,test_pr:1,test_predict:1,test_rnn:4,test_scor:[7,10],test_siz:[0,1,3,5,6,10,26,27],test_split:9,tester:[],testerror:[0,6,27],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,18,20,23,25,27],textbf:[],textbook:[19,20,21,27],textual:9,textur:[1,9],textwrap:[],tf:[1,3,4,13,14],tfe_py_execut:[3,4],th:[0,1,2,5,6,7,9,12,13,14,15,16,18,19,23,26,27],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,20,23,26,27],thank:[4,6,27],thats:[],theano:[1,17,26],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,19,21,23,26,27],them:[0,1,3,4,6,8,9,10,11,12,13,18,19,20,21,26,27],theme:[0,26],themselv:[0,23,26],thenc:6,theorem:[2,6,7,27],theoret:[0,4,10,26],theori:[0,1,3,8,9,12,13,17,19,21,25,26],thereaft:[0,5,6,11,12,15,16,18,19,20,26],therebi:[0,5,7,11,26,27],therefor:[0,1,2,3,4,6,7,8,11,13,23,26,27],therein:11,thereof:[0,6,13,21,26],thesi:[],theta:[1,4,13,23],theta_:[1,13],theta_i:1,theta_linreg:13,theta_t:13,thetaand:[],thetaor:[],thetaxor:[],thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27],thing:[0,1,2,4,5,7,9,23,26],think:[0,1,3,4,6,9,12,13,14,23,26],third:[0,3,6,13,24,26],thirti:7,thorughout:26,those:[0,3,5,6,8,9,10,11,18,19,20,22,26,27],though:[1,2,3,4,13,18,23],thought:[6,14,19,20,21,23],thousand:[0,1,19,21,27],thread:[3,4],three:[0,1,3,5,6,8,9,12,15,18,19,22,23,24,26,27],threshold:[1,3,9,10,11,12,13],through:[0,1,2,3,4,5,6,8,11,12,13,14,17,18,23,26,27],throughout:[0,4,5,14,17,18,23,26],thu:[0,1,2,5,6,7,8,10,11,12,13,19,24,26,27],thumb:[0,6,19,26,27],thursdai:[24,27],tibshirani:[6,19,22,25,26],tick_param:6,ticker:[6,13,19,23],tif:[6,19],tight_layout:[1,7],tightli:11,tild:[0,5,6,7,11,15,16,19,23,26,27],till:[0,4,7,8,9,10,12,18,26,27],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,26,27],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,19,23,26],tmp:13,tmp_log:[3,4],tn:[2,3,7],tnr:[],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,26],to_numpi:[],todai:3,toeplitz:[],togeth:[0,3,6,8,11,13,17,26],toi:14,told:13,toler:[2,6,14],tolist:4,tomographi:12,ton:[],too:[0,2,4,5,6,9,11,13,15,23,25,26,27],took:[8,26],tool:[0,1,3,6,13,17,27],toolbox:8,top:[0,3,5,6,9,10,17,26],topic:[0,5,6,7,8,17,19,20,21,27],topograph:19,topolog:[1,3,12],toposort:[],torkjellsdatt:[24,26],toronto:[],toss:[10,23],total:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24,26,27],total_loss:4,totalclustervari:14,totalscatt:14,tour:[],toward:[1,2,7,12,13,19],towardsdatasci:[],town:0,tp:[4,7],tpng:9,tpr:[],tpu:[13,17,26],tqdm:6,tr:27,trace:[3,4,13],trace_stack:13,traceback:[0,1,2,3,4,6,10,13,19,26],traceback_util:[3,4],tracer:13,tracing_count:[3,4],track:[3,13,14,18],tract:0,tractabl:[0,26,27],trade:[5,9],tradeoff:[0,5,19,26,27],tradit:[0,1,4,6,26],tradition:[],train:[2,3,5,6,8,9,10,11,12,13,19,20],train_acc:[],train_accuraci:[0,1,3,26],train_dataset:4,train_end:[0,1,27],train_error:6,train_funct:[3,4],train_imag:[3,4],train_ind:6,train_label:[3,4],train_pr:1,train_siz:[0,1,3,27],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,26,27],train_test_split_numpi:[0,1,27],trainabl:4,trainable_vari:4,trained_model:[6,27],trainerror:[0,27],traini:4,training_checkpoint:4,training_dataset:4,training_gradi:13,training_gradient_fun:[],training_loss:[],trainingerror:6,trainpredict:4,trainscor:4,trainx:4,trait:[0,26],trajectori:4,trajectory_i:[],trajectory_x:[],transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,17,18,26,27],transit:[6,12],translat:[1,4,6,10,26,27],translate_vjp:[],transpos:[1,5,11,18,27],trap:[],travers:[0,5],treat:[0,1,3,6,12,13,23,26,27],tree:[0,1,6,17,19,21,26],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:23,treue:7,trevor:[19,25],tri:[2,3,4,9,13],triain:0,trial:[0,2,4,6,13,23,26],triangl:13,triangular:18,trick:[3,4,8,11,13,23],trickier:23,tridiagon:18,trigonometr:[],trillion:17,trivial:[0,1,5,11,23,26],troubl:[0,8,12,27],truck:3,true_beta:[6,27],true_divid:[],true_fun:6,truli:[],truncat:[],trustworthi:[],tucker:8,tuesdai:[24,26],tumor:[7,9,20],tumour:7,tunabl:[1,20],tune:[4,9,13,18,20,26],tupl:[2,13],turbul:21,turn:[0,1,5,6,7,8,9,10,11,12,13,18,19,23,26,27],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,23],twice:13,twist:[11,21],two:[0,1,2,4,5,6,7,9,10,11,12,13,15,16,18,21,22,23,25,26],tx:13,tx_1:13,txt:4,ty:13,type:[0,1,3,6,8,10,13,16,18,19,23,27],typeerror:[2,13],typic:[0,1,2,3,4,5,7,9,10,12,13,20,23,26,27],typo:[19,20,21],u:[0,2,5,6,8,10,11,12,18,21,26,27],u_:[18,21],u_i:12,u_m:10,u_t:21,ua:[0,26],ubuntu:[0,15,17,19,21,26],uci:[0,20,21],uio:[19,20,21,24,25],uis:[],un:14,unari:[18,26],unary_f:[2,13],unary_oper:[2,13],unary_to_nari:[2,13],unbalanc:[6,9],unbias:[0,5,6,26],uncent:6,uncertainti:[0,5,26],uncertitud:23,unchang:[1,3],unclos:[],uncorrel:[10,23],uncov:[],undefin:[5,27],under:[0,1,5,6,10,13,15,16,17,19,20,21,26,27],underdetermin:[0,26],underfit:[1,6],underflowproblem:5,undergo:5,undergradu:[22,24],underli:[0,1,9,13,23,26],underset:[4,14],understand:[0,1,3,5,6,10,13,14,17,26,27],understood:[8,13],undesir:8,undetermin:[5,8],undirect:[],undo:4,unexpect:6,unexpected:23,unfair:[6,27],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,19,23,26,27],uniformli:[13,23],unifrompdf:23,unimport:13,union:[5,6],uniqu:[0,2,6,13,14,18,26],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,23,26,27],unitari:[5,6,18,27],unitarili:[18,26],uniti:23,univari:23,univers:[0,1,2,13,15,17,19,20,21,22,24,26,27],unix:1,unknow:[0,18,26],unknown:[0,1,3,4,5,6,8,10,13,16,18,26,27],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,19,20,21,26],unlik:[1,3,8,13],unnecessarili:9,unoptim:[],unord:3,unravel:1,unravel_index:[],unreason:[],unrol:[3,11],unsampl:[],unseen:[0,7,9],unsort:[],unstabl:1,unsupervis:[0,1,4,12,17,21,26],unsymmetr:[18,26],untak:[],until:[1,2,4,9,12,13,14],untouch:0,untradit:[],unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,17,18,19,20,23,24],updat:[1,2,10,12,13,14],update_chang:[],update_matrix:[],uploa:26,upload:[17,19,20,21,25],upon:[0,1,6,7,11,18,19],upper:[0,8,9,16,18,27],uppercas:[18,26],upsampl:4,upsampled_height:[],upsampled_width:[],upscal:4,url:[26,27],us:[4,5,6,8,9,10,11,12,14,15,16,18,19,21,22,23,25],usa:26,usag:[0,8,17,26,27],usd10000:0,usd:0,use_bia:4,use_label_encod:[],use_multiprocess:[3,4],usecol:[0,26],useless:1,user:[0,1,2,3,4,6,7,8,9,11,15,17,18,19,21,26,27],usernam:[19,20,21],userwarn:[3,6],usetex:23,usg:[6,19],usr:23,usual:[0,3,4,7,12,13,14,26],ut:5,util:[0,1,3,4,6,7,10,14,20,26],ux:18,v0:23,v1:23,v2:23,v3:[],v:[2,4,5,6,11,13,17,27],v_0:11,v_ind:[],v_stride:[],va:1,vahid:26,val:13,val_acc:[],val_accuraci:3,val_error:[],val_loss:4,val_set:[],vale:2,valid:[0,1,4,7,9,10,13,17,20,21,23,26,27],validation_batch_s:[3,4],validation_data:[3,4],validation_freq:[3,4],validation_split:[3,4],validation_step:[3,4],valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,19,26],valuat:9,valued_at_a:[],valued_at_z:[],valueerror:0,valy:4,van:[0,19,26,27],vandenbergh:[8,13],vandermond:[0,26],vanilla:[0,6,11,14,27],vanish:[1,4,13,23],var_x:23,varabl:8,varepsilon:[5,6,19],varepsilon_:[5,6],varepsilon_i:[5,6],vari:[0,1,3,5,6,10,15,16,26],variabl:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,26,27],varianc:[0,1,5,7,9,10,11,13,14,17,18,20,23,26,27],variance_i:[5,11,27],variance_x:[5,11,27],variant:[0,1,6,8,12,13,21,26,27],variat:[3,4,11,21,26],varient:[],varieti:[0,3,12,15,17,19,21,26],variou:[1,3,5,6,7,8,9,11,12,13,16,17,18,19,21,23,27],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13],ve:[19,20,21],vec:6,vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17,21],vector_mean:14,veloc:21,ventur:[0,8,15,17,21,26],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,20,21,23,25,26,27],verifi:[3,11,18,26],versatil:[8,26],versicolor:[8,9],version:[0,3,4,10,13,14,15,17,18,19,20,21,23,26],versu:1,vert:[0,1,5,6,7,8,9,11,13,26,27],vert_1:[5,6,27],vert_2:[5,6,11,27],vertic:[],vi:[],via:[0,5,6,7,8,9,10,11,12,15,17,18,19,21,22,23,24,26,27],victori:[],vidal:11,video:[0,1,12,17,22,24,26,27],view:[1,3,5,6,12,13,23,25,26],vii:[],viii:[],violat:8,virginica:9,viridi:[0,1,2,3,26],virtual:1,viscos:13,viscou:13,visibl:[],visibledeprecationwarn:2,visin:[],vision:[0,3],visual:[0,3,11,12,15,17,26,27],visualis:1,viz:[6,8,23],vjp:[2,13],vjp_argnum:[],vjpfun:[],vjpmaker:[],vjpnode:13,vjps_dict:[],vmap:13,vmax:[1,6],vmin:[1,6],voic:3,volum:[0,3,26],volume18:[],vote:[10,21],voting_clf:10,votingclassifi:10,votingsimpl:10,vs:[0,4,6],vspace:[2,13],vstack:[5,11,18,23,26,27],vt:[5,27],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,23,26,27],w_1:[8,18],w_1x_1:8,w_1x_:8,w_2:[8,18],w_2x_2:8,w_2x_:8,w_3:18,w_4:18,w_:[1,12],w_h:[],w_hidden:2,w_i:[1,2,10],w_ix_i:12,w_j:18,w_m:18,w_output:2,w_px_:8,w_px_p:8,wa:[0,1,3,4,5,6,7,10,11,12,13,14,18,19,26,27],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,26,27],wait:[],walk:9,walker:23,wall:[],wang:[0,26],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,23,26,27],warn:[0,4,8],warrant:6,wast:3,watch:[3,4,17],wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27],weak:[9,10,14],weakli:[],weather:[1,12],web:[17,22,24,26],weblink:20,webpag:26,websit:[6,18,19,22,26],wedg:[8,23],wednesdai:[24,26],wee:11,week:[0,5,6,7,19,20,21,22,24],weekli:[17,19,24,25,26],weight:[0,1,2,3,6,7,9,10,12,13,19,20,23],weight_arrai:[],weights_next:[],weigth:2,welcom:[8,17,21],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,20,21,23,25,26,27],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,23,26,27],wessel:[0,19,26,27],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,21,23,26,27],whenev:[13,23],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27],wherea:[6,23],wherein:[1,12],whether:[0,3,5,7,9,19,20,21,23,26],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27],whichev:[1,3],whilst:[],white:9,whiteboard:[],whiten:[],who:[0,22],whole:[1,3,4,5,9,11,13],whose:[0,6,10,23,27],whow:[11,27],whrn:[],why:[0,1,3,6,13,19],wide:[0,1,3,6,7,12,15,17,18,19,21,26],widehat:6,widespread:[],width:[0,3,8,9,26],width_index:[],wieringen:[0,19,26,27],wiki:[],wikipedia:[],win:10,wind:9,window:[],windows_out:[],wing:[24,26],winther:2,wiothout:[6,27],wiscons:7,wisconsin:[10,20],wisdom:6,wise:[0,1,5,12,13,27],wish:[0,2,5,7,8,11,13,14,18,19,20,21,26,27],with_std:[0,27],wither:6,within:[0,2,3,4,7,9,12,13,14,23,25,26],withinclust:14,without:[0,1,5,6,8,9,11,12,13,20,26,27],without_trac:[3,4],wo5dmep_bbi:[],won:[0,26],wonder:8,woodi:[],word:[0,1,3,4,5,6,7,14,23,26,27],work:[0,1,4,6,7,8,9,13,15,17,19,20,21,22,23,24,26,27],worker:[3,4],workshop:26,world:[0,8,27],worldwid:[0,26],wors:[0,1,3,4,6,26],worst:9,worth:9,worthi:[19,20,21],would:[0,1,3,5,6,7,8,9,10,11,12,13,18,19,20,21,23,26,27],wrap:[6,18,26],wrap_util:[2,13],wrapper:0,write:[0,1,2,3,5,6,7,8,12,13,15,16,18,19,21,26,27],written:[0,2,3,5,11,12,13,16,17,18,19,20,21,23,26,27],wrong:[1,8],wrongli:10,wrote:[5,11,27],wrt:[10,13],wth:[10,13],www:[17,18,19,20,21,25,26],wx_1:8,x0:8,x1:[4,8,9,10,13],x1_exampl:8,x1d:8,x2:[8,9,10,13],x2d:[8,11],x2d_train:11,x2dsl:11,x3:[8,9],x4:9,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,26],x_0:[0,5,11,18,26,27],x_1:[0,2,5,6,7,8,9,10,11,13,18,23,26,27],x_2:[0,2,5,6,7,8,9,10,11,13,18,23,26,27],x_3:[8,18,23],x_4:18,x_:[0,2,3,5,6,8,10,11,13,14,18,19,23,26,27],x_batch:[],x_batch_feedforward:[],x_batch_feedforward_shap:[],x_batch_pad:[],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,18,21,23,26,27],x_input:2,x_ix_:[0,26],x_iy_i:8,x_j:[0,2,8,9,12,16,23,27],x_jy_j:8,x_k:[12,14,18,23,27],x_l:23,x_m:[6,12,18,23],x_n:[0,2,3,6,8,11,12,13,18,23,26],x_new:[9,10],x_offset:[6,27],x_output:2,x_p:[3,7,9],x_poli:9,x_poly10:9,x_pred:4,x_prev:2,x_reduc:11,x_scale:8,x_small:13,x_test:[0,1,3,5,6,7,9,10,11,26,27],x_test_own:6,x_test_scal:[0,6,7,9,10,11,27],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,26,27],x_train_mean:[6,27],x_train_own:6,x_train_scal:[0,6,7,9,10,11,27],x_val:1,xarrai:[17,26],xavier:1,xbkjd4ccgq:26,xbnew:13,xcode:[0,15,17,19,21,26],xdclassiffierconfus:10,xdclassiffierroc:10,xg_clf:10,xgb:10,xgbclassifi:10,xgboost:[9,21],xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13],xi_1:8,xi_:8,xi_i:8,xinv:[],xk:8,xla:[3,4,13,17,26],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,19,23,26],xlim:[6,10],xm:9,xmesh:13,xnew:[0,13,26],xor:[],xp:23,xpanda:[0,27],xpd:[5,11,27],xplot:0,xs:9,xscale:[0,27],xsr:9,xt_x:13,xtest:6,xtick:[3,6,8,9],xtrain:6,xu:[0,26],xx:[0,18,21,26],xy:[0,6,8,18,19,26],xytext:8,xz:[18,26],y1:4,y2:4,y3:4,y:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,23,26,27],y_0:[0,5,11,18,26,27],y_1:[0,5,8,9,11,13,18,26,27],y_1y_1:8,y_1y_1k:8,y_1y_2:8,y_1y_2k:8,y_1y_n:8,y_1y_nk:8,y_2:[0,5,8,9,11,18,26,27],y_2y_1:8,y_2y_1k:8,y_2y_2:8,y_2y_2k:8,y_3:[0,9,18],y_4:18,y_:[0,1,5,6,10,11,18,26,27],y_data:[0,1,5,6,26,27],y_data_ful:1,y_decis:8,y_fit:[0,27],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,18,19,20,26,27],y_if_:10,y_ix_:[0,26],y_ix_i:[7,8,13,27],y_iy_jk:8,y_j:[6,8,12,19],y_k:12,y_m:18,y_model:[0,4,5,6,26,27],y_n:[8,13],y_ny_1:8,y_ny_1k:8,y_ny_2:8,y_ny_2k:8,y_ny_n:8,y_ny_nk:8,y_offset:[6,27],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,27],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10],y_scaler:6,y_test:[0,1,3,4,5,6,7,9,10,11,26,27],y_test_onehot:1,y_test_predict:0,y_test_scal:[],y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,26,27],y_train_mean:[6,27],y_train_onehot:1,y_train_predict:0,y_train_scal:6,y_val:1,yadav:21,yand:[],ye:[3,6,7],year:[0,17,26],yet:[0,1,6,8,11,13,26],yi:13,yield:[0,2,5,6,8,10,12,13,14,18,23,26],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,19,23,26],ylim:[3,6],ym:9,ymesh:13,yn:0,yo:[8,9,10],yor:[],yoshua:[1,25],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,19,20,21,23,24,25,26,27],young:0,your:[1,2,4,5,6,8,11,13,17,18,19],yourself:[11,13,26],youtub:17,ypred:6,ypredict2:13,ypredict:[0,13,26,27],ypredictlasso:5,ypredictol:[0,5],ypredictown:[6,27],ypredictownridg:6,ypredictridg:[0,5,6],ypredictskl:[6,27],yridg:26,ys:9,ytest:6,ytick:[3,6,8,9],ytild:[0,6,26,27],ytilde_test_ol:[],ytilde_test_ridg:[],ytildelasso:5,ytildenp:[0,26,27],ytildeol:[0,5],ytildeownridg:6,ytilderidg:[5,6],ytrain:6,yuxi:26,yx:[18,26],yxor:[],yy:[18,26],yz:[18,26],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,19,23,26,27],z_0:[18,26],z_1:[18,26],z_2:[18,26],z_:[1,2,12,18,26],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,27],z_m:1,z_matric:[],z_matrix:[],z_mod:9,z_o:1,z_output:2,zaman:23,zaxi:[6,19],zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],zeros_lik:4,zeroth:27,zfill:4,zip:[2,4,6,13],zm_h:[0,26],zmq:[],zn:0,zone:0,zoom:26,zx:[18,26],zy:[18,26],zz:[18,26]},titles:["3. Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 9 (midnight), 2023","Project 2 on Machine Learning, deadline November 17 (Midnight)","Project 3 on Machine Learning, deadline December 18 (midnight), 2023","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression"],titleterms:{"1":[0,15,16,19,26,27],"12":[],"13":[],"14":[],"17":20,"18":21,"19":[],"2":[0,15,16,20,26,27],"2023":[19,21,24],"21":[],"23":[],"26":27,"3":[0,15,16,21,26,27],"31":[],"34":[15,26],"35":[16,27],"36":[],"37":[],"38":[],"39":[],"3d":[],"4":[0,27],"40":[],"41":[],"42":[],"43":[],"44":[],"45":[],"46":[],"47":[],"5":0,"7":[],"9":19,"case":[8,10,23,27],"class":[],"do":1,"final":[12,20,27],"function":[0,1,6,7,8,10,11,12,13,19,20,23,26,27],"import":[5,18,26,27],"long":[],"new":4,"short":[],"try":[],A:[0,1,4,8,9,26],AND:[],And:[26,27],But:[],For:27,If:[],In:24,Is:[],Ising:6,No:[],Not:[],OR:[],The:[0,1,2,3,5,6,7,8,9,11,12,17,21,26,27],Then:[],To:[26,27],With:4,about:[26,27],abov:[],access:[],activ:[1,12,20],ad:[0,6,19,26,27],adaboost:10,adagrad:13,adam:13,adapt:10,add:[],addit:[],adjust:1,advanc:[],adversari:4,after:[],again:[3,9],ai:26,aim:[8,9,26],aka:[26,27],al:[],algebra:[18,26],algorithm:[9,10,11,12,20,27],algortithm:13,all:8,allow:[],altern:21,an:[0,4,10,26],analys:[5,27],analysi:[0,5,6,11,17,19,20,23,26,27],analyt:[0,16],analyz:21,ani:13,anoth:9,appli:17,approach:[0,8,14,26],approxim:12,architectur:1,argument:[],arithmet:[],arrai:[18,26],artifici:[],assist:24,assumpt:[],attend:[],august:27,autocorrel:23,autoencod:[],autograd:[2,13],automat:13,avoid:[],b:[19,20,21],back:[1,11,12],background:[17,19,20],backpropag:[],backward:[],bag:10,base:13,basic:[0,5,7,9,10,11,18,21,27],batch:1,bay:5,bayesian:[],befor:11,begin:[],best:[],beta:[],better:8,between:[],bia:[6,19],bias:[],binari:1,bind:26,bird:10,bm:[],boldsymbol:27,boltzmann:[],boost:10,bootstrap:[6,10],boston:0,breast:1,brief:26,bring:12,build:[1,3,9],c:[19,20,21,26],calcul:27,can:26,cancer:[1,7,9,11],canva:[],cart:9,cell:[],center:27,central:[13,17,23],chain:12,challeng:[],chanel:[],chang:10,channel:26,chi:[0,26],choic:[],choos:1,cifar01:3,classic:11,classif:[1,9,10,20],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,20,26,27],coeffici:[],coin:[],collect:[1,3],combin:[],come:[],commun:26,compact:[],compar:[2,10],comparison:[],compet:[],compil:[],complet:27,complex:[0,6,19,21,27],complic:6,compon:11,comput:9,computation:[],computerlab:26,con:9,concept:23,condit:[],confid:[],conjug:13,connect:[],construct:[],content:[],continu:[],contn:26,convex:[8,13],convolut:[3,12],convolution2dlay:[],correctli:[],correl:[11,27],correspond:[],cost:[1,10,27],cours:[17,25,26],covari:[5,11,23,27],cover:26,critic:20,cross:[6,19],ct:[],cumul:[],curv:[],cython:26,d:[19,20,21],data:[0,1,3,6,7,9,11,15,16,17,19,21,23,26,27],dataset:[1,3],deadlin:[19,20,21,26],decai:2,decemb:21,decis:[9,10],decomposit:[5,11,18,27],deep:[1,2,26],deepen:[],defin:[1,21,26],definit:[],degre:[0,27],deliveri:[19,20,21],delta:[],demonstr:[],dens:[0,26],deriv:[5,12,27],descent:[2,10,13,20],descript:19,design:27,detail:[3,26],develop:1,diagon:11,did:[],differ:[8,20],different:[],differenti:[2,13,21],diffus:2,dimension:[2,3,8,19,27],directli:[],disadvantag:9,discord:[],discret:23,discuss:[],distinct:[],distribut:[5,23],distrubut:[],dnn:[],doe:27,domain:23,don:[],dot:[],down:1,dropout:1,dual:[],e:[19,20,21],each:[],easi:[],economi:27,effect:[],effici:[],effort:[],electron:[19,20,21],element:[0,23,26],elimin:18,energi:26,ensembl:10,entropi:9,environ:[0,15,26],equat:[0,2,12,21,26,27],error:[0,10,26,27],essenti:26,estim:[],et:[],etc:26,euler:2,evalu:[1,20],exam:[],exampl:[0,1,2,3,4,6,7,8,9,10,26,27],exercis:[0,6,15,16,26,27],expect:23,expens:[],experi:23,explain:[],explod:[],explor:[0,15,16,26],exponenti:2,express:27,extend:[],extrapol:4,extrem:[10,26],ey:10,f:[19,20],f_1:[],face:[],factor:[],fall:24,famili:[1,26,27],famou:18,fantast:27,featur:[9,18,27],feed:[1,12],file:[],find:[],fine:1,first:[4,12,20,26,27],fit:[0,10,26],fix:27,flatten:[],flow:[],fold:[],forc:3,forest:10,format:[19,20,21,26],forward:[1,2,12],four:[],fourier:3,frank:[6,19,27],freedom:[0,27],frequent:27,frequentist:[0,26],fridai:[],from:[5,10,12,20,27],full:2,fulli:[],funtion:[],further:[3,5,27],futur:[],g:19,gain:[],gan:4,gate:[],gaussian:18,gd:13,gener:[4,9,26],geometr:11,get:[],gini:9,github:[],go:[],goal:[],good:[0,26],goodfellow:[],grade:[24,26],gradient:[1,2,10,13,20],grid:[],group:[],grow:[],growth:2,ha:17,half:[],hand:[],handl:[18,26,27],happen:[],have:[],head:[],heard:[],heroic:[],hessian:27,hidden:2,histogram:[],homework:[],hour:[],hous:0,how:[],hyperbol:[],hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ideal:[],ident:[],identifi:[],ii:26,iid:[],iii:[],illustr:[],imag:[],implement:1,implic:[5,27],impress:[],improv:1,includ:13,increment:11,independ:[],index:9,indic:[],inform:24,initi:[],input:2,insight:[],instal:[17,19,21,26],instructor:24,intellig:[],intercept:27,interest:[],interpret:[5,11,26,27],interv:[],introduc:[11,13,27],introduct:[0,6,17,18,19,20,21,26],invers:[5,18],invert:27,iter:10,its:27,iv:[],jacobian:27,jargon:[],jax:13,job:[],joint:[],judg:[],julia:26,jungl:10,jupyt:[],k:[],kei:[],kera:[1,3],kernel:[8,11],knowledg:[],l:[],lab:[],lagrangian:8,lambda:[],lasso:[5,6,19,27],last:27,later:[5,27],layer:[1,2,3,12],layout:[],learn:[0,1,2,11,13,14,15,16,17,19,20,21,26,27],least:[5,6,19,26,27],lectur:[26,27],level:10,librari:[17,26],like:[],likelihood:7,limit:[1,13,23],linear:[0,8,13,18,20,26,27],link:[5,11,22,25,27],list:[],literatur:[19,20],logist:[7,20,26],loop:[],loss:27,lstm:[],lu:18,machin:[0,8,13,17,19,20,21,26],made:[],mai:[],mail:[],main:[23,26],make:[0,9,10,15,16,26,27],mani:[10,12],manipul:27,margin:[],mass:26,materi:[22,26,27],math:[5,27],mathemat:[3,5,8,27],matric:[5,18,26],matrix:[1,5,11,12,18,26,27],matter:[0,26],max:27,maximum:[],me:[],mean:[0,27],measur:[],medic:[],meet:[5,10,23,26,27],memori:[],mercer:8,meta:[],method:[6,9,10,13,19,26],midnight:[19,20,21],min:27,mini:[],minibatch:[],minim:26,ml:26,mle:[],mlp:12,mnist:[3,4],model:[0,1,4,6,12,26],moment:[],momentum:13,mondai:27,moon:[8,9],more:[3,6,18,19,26,27],much:[],multi:[],multiclass:[],multilay:12,multipl:[1,3],multipli:8,need:[19,21,26],neg:[],network:[1,2,3,4,7,12,20,21,26],neural:[1,2,3,4,7,12,20,21,26],neuron:[],newton:[],nice:[],nn:[],node:[],noen:[],non:8,normal:[0,1],notat:12,note:27,notebook:[],novemb:20,now:[1,9,13],nuclear:[0,26],nueral:[],numba:26,number:[0,2,23,27],numer:[2,19,20,21,23],numpi:[18,26],object:3,obtain:11,octob:19,od:2,off:[6,19],ol:[5,6,19],one:[2,12],ones:[],oper:18,optim:[1,8,13,17,26,27],order:13,ordinari:[5,6,19,26,27],organ:[0,26],orient:[],oslo:25,other:[4,9,11,12,18,26,27],our:[0,4,5,11,13,26,27],out:[],outcom:[17,26],output:2,overarch:[0,4,8,9,26,27],overview:[10,26],own:[0,10,11,15,16,20,26,27],packag:[18,26],pad:[],panda:[26,27],paper:19,paramet:[26,27],part:[13,17,19,20,21,27],partial:[2,21],pass:1,path:21,pca:11,pdf:23,pencil:19,perceptron:12,perform:[1,9],period:3,perspect:1,pertin:[],plan:27,plot:[],point:4,poisson:2,polynomi:3,pool:[],popul:2,popular:26,posit:[],possibl:[],practic:[13,24,26],pre:[1,3],predict:4,predictor:[],prefer:[],prepar:[],preprocess:27,prerequisit:[3,17,26],present:[],princip:11,principl:3,print:[],pro:9,probabl:[5,23],problem:[1,2,13,21,26,27],procedur:[9,26],process:[1,3],product:[],program:[2,13,19,20,21],project:[6,19,20,21,26],prop:13,propag:[1,12],properti:[5,23,27],prune:[],python:[0,9,15,17,18,26],quantiti:[],quantum:[],question:[],quick:8,r:26,random:[10,11,23],raphson:[],rate:[],rbm:[],read:[9,26,27],real:[6,19,26],recogn:[],recommend:[26,27],rectangular:[],recurr:[4,12],recurs:[],reduc:[0,27],reduct:3,reformul:2,regress:[0,5,6,7,9,10,13,19,20,26,27],regressor:[],regular:1,reinforc:[],relat:27,relev:[25,27],relu:1,remark:3,remind:[6,8,26],repeat:27,repetit:[],replac:13,report:[19,20,21],repositori:[],repres:[],requir:[2,17],resampl:[6,19],rescal:6,research:[],residu:27,resourc:2,result:27,review:[],revisit:13,rewrit:[26,27],rewritten:[],ridg:[0,5,6,19,27],rm:13,rmsprop:[],rnn:[],roc:[],rule:12,run:[],s:[8,10],same:13,sampl:11,scale:27,scan:[],schedul:[22,26],schemat:9,scheme:2,scienc:26,scientif:[],scikit:[0,1,11,15,16,26,27],score:[],search:[],second:13,select:[],semest:24,sensit:[],separ:[],septemb:[],session:27,set:[0,2,3,9,12,15,21,26,27],setup:[],sever:[],sgd:13,share:[],sharp:[],should:1,sigmoid:[],similar:13,simpl:[0,4,9,13,26,27],singl:10,singular:[5,11,27],size:27,sketch:[],slept:[],slightli:[],so:[],social:[],soft:8,softmax:1,softwar:[19,21,26],solut:[],solv:[2,21],solver:13,some:[13,18,27],sound:[],specif:[],specifi:2,speed:[],split:[0,15,16,26,27],squar:[0,5,6,10,19,26,27],standard:[13,27],start:[],state:[0,26],statement:[],statist:[5,6,17,23,26],steepest:[10,13],step:20,still:27,stochast:[13,20,23],stop:[],stride:[],strong:[],strongli:26,structur:21,studi:[],subtract:27,suggest:26,sum:[],summari:[24,26],superposit:3,supervis:1,support:8,svd:[5,27],syntax:[],systemat:3,t:27,tabl:[],tail:[],taken:[],target:[],teach:[22,24],teacher:[24,26],technic:[],techniqu:[6,11,19],technolog:17,tensor:[],tensorflow:[1,3],tent:26,term:[],test:[0,1,15,16,20,26,27],text:26,textbook:[25,26],than:[],thank:[],thei:[],theorem:[5,8,11,12,23],theori:23,thi:26,thing:[],think:27,through:[],thursdai:[],time:[],tip:13,togeth:12,tool:26,top:1,topic:26,toss:[],toward:11,trade:[6,19],tradeoff:6,train:[0,1,4,15,16,26,27],transfer:[],transform:3,tree:[9,10],trial:[],tuesdai:[],tune:1,two:[3,8,17,19,27],type:[2,4,12,26],typic:[],uio:26,understand:[],unit:[],univers:[12,25],unsupervis:14,unsupport:[],up:[0,2,9,12,15,21,26,27],updat:[],us:[0,1,2,3,7,13,17,20,26,27],usag:[],valid:[6,19],valu:[5,11,23,27],vanish:[],vari:[],variabl:23,varianc:[6,19],variou:[0,15,20,26],vector:[8,12,18,26,27],veri:[],verifi:[],video:[],view:[0,4,10,27],visual:[1,9],volum:[],vote:[],vs:3,wa:[],wai:9,warm:[],wave:2,we:26,websit:[],wednesdai:[],week:[15,16,26,27],weekend:[],weekli:22,weight:[],well:[],what:[0,26,27],when:[],which:1,why:[26,27],wisconsin:7,wish:[],word:[],worri:[],would:[],wrap:27,write:[4,11,20],x:27,xgboost:10,xor:[],year:[],yet:[],you:[],your:[0,10,15,16,20,21,26,27],yourself:21,z_j:[],zero:[]}}) \ No newline at end of file +Search.setIndex({docnames:["chapter1","chapter10","chapter11","chapter12","chapter13","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","clustering","exercisesweek34","exercisesweek35","intro","linalg","project1","project2","project3","schedule","statistics","teachers","textbooks","week34","week35"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["chapter1.ipynb","chapter10.ipynb","chapter11.ipynb","chapter12.ipynb","chapter13.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","clustering.ipynb","exercisesweek34.ipynb","exercisesweek35.ipynb","intro.md","linalg.ipynb","project1.ipynb","project2.ipynb","project3.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,26,27],"00":[0,1,5,6,9,11,26,27],"000":[1,3,9],"0000":9,"00000":9,"000000":[5,11,27],"0000000010":[],"00000000e":[5,27],"00000215":[],"0000164":[],"00002678":[],"00003617":[],"000054":[],"0000747":[],"00009903":[],"0001":1,"00010133":[],"0001042":[],"00011154":[],"00012095":[],"0001225":[],"00012277":[],"00012569":[],"00012934":[],"00013313":[],"00013514":[],"00014654":[],"00014662":[],"00014875":[],"00015097":[],"00015239":[],"0001539814498783133":[],"0001613":[],"00016373":[],"00016536":[],"00016826":[],"00017031":[],"00017755":[],"00018022":[],"00018629164426077816":[],"00018647":[],"00018653":[],"00019212":[],"00019432":[],"00019544":[],"00019607":[],"00019838":[],"00019883":[],"00019982":[],"00019998":5,"00020665":[],"00021042":[],"00021438167895478945":[],"00021512":[],"00021673":[],"00021836":[],"00022035":[],"00022902":[],"0002364":[],"00023679":[],"00023737":[],"0002382102844775691":[],"00024035":[],"00024087":5,"0002442":[],"00024449":[],"00025381":[],"00026064":[],"00026456":[],"00026778":[],"00026861":[],"00027064":[],"0002758":[],"00028129":[],"00028689":[],"00029012":5,"00029121":[],"00029993":[],"00030207":[],"00031112":[],"00031174":[],"00031535148309577417":6,"00031535148309580783":6,"00031579":[],"00032054":[],"00033136014047192484":[],"0003324":[],"00034076":[],"00034548":[],"00034759":[],"00034944":5,"00035097":[],"00035283":[],"00035753":[],"00036163":[],"00036838":[],"00038185":[],"0003826":[],"00038288":[],"0003844":[],"00038836":[],"00039592":[],"00039962":[],"00040199":[],"00040825":[],"000417932":2,"00042089":5,"00042114":[],"00042432":[],"00042748":[],"00043363":[],"00043401":27,"00043656":[],"00043672":[],"00044036":[],"00044152":[],"00044663":[],"00044903":[],"00045244":[],"00046356":[],"000464088":2,"00047025":[],"00047054":[],"00048049":[],"00048325":[],"00048748":[],"00048917":[],"00049911":[],"00049929":[],"00050142":[],"00050383":[],"0005051756404139333":[],"00050694":5,"00051025":[],"00051793":[],"00052115":[],"00053008":[],"00055182":[],"0005557":[],"0005603761549585715":[],"00056165":[],"00056836":[],"0005701":[],"00057042":27,"00057062":[],"00057083":[],"00057757":[],"00058016":6,"0005840075008020406":[],"00060705":6,"00061058":5,"00061585":[],"00061822":[],"0006225":[],"00062595":6,"00062752":[],"00063364":[],"00063862":[],"00064009":[],"00064115":[],"00064364":[],"00065237":[],"00065261":[],"0006527":[],"00066668":6,"00067395":[],"00068048":[],"00068088":[],"00068251":[],"00068734":6,"00068946":6,"00069073":[],"00070222":[],"00070937":[],"00071763":[],"00072326":[],"00072412":[],"00073541":5,"00074584":[],"00074611":[],"00074902":[],"00075597":[],"00075639":[],"00076029":[],"00076495":6,"00076617":[],"00076905":6,"0007698473260556325":6,"0007698473260556343":6,"00078616":[],"00079129":6,"00079216":[],"00079910":[],"00079968":5,"00081564":[],"0008159":[],"0008187895061620525":[],"00082447":[],"00083346":[],"00083685":[],"00083826":[],"00084705":6,"0008527":[],"00085301":[],"00085889":6,"00085946":[],"00086063":[],"00087126":[],"0008744":27,"00087697":6,"00088573":5,"00089187":[],"00089362":[],"00089434":26,"0009075":[],"00090992":[],"00091628":[],"00092039":[],"00092107":[],"00092647":6,"000929":[],"00092902":[],"00092904":[],"0009485400848532":[],"00096314":5,"00096557":[],"00097342":[],"00097487":[],"00097522":[],"00099888":[],"001":[1,2,8,13],"00100519":6,"00100807":[],"00101364":[],"00102956":[],"00103827":[],"00104613":[],"0010479245926411787":6,"00105081":6,"00105497":[],"00106677":5,"00107008":[],"00107405":6,"00109941":[],"00110716":[],"00111016":[],"00111454":[],"00111495":[],"00111512":[],"00111756":6,"00113717":[],"00114101":[],"0011526":6,"00115506":[],"00115669":[],"00115999":5,"00117071":[],"00117125":[],"00117627":[],"00118508":6,"00118591":[],"0011878":[],"00119699":[],"00119895":[],"0012":[],"00120436":[],"0012099":[],"0012202975664411882":[],"00122558":[],"00123144":[],"00123457":[],"00125459":[],"00126452":[],"00126617e":[],"00127423":[],"00127469":[],"00127672":[],"00128282":[],"00128479":5,"00131428":[],"00132125":[],"001323":6,"00132783":[],"00133103":[],"00134327e":[],"00134337":[],"00135736":[],"00137818":6,"00139705":5,"00140139":[],"00140849":[],"00143234":[],"00144711":[],"00145601":[],"00145652":[],"00145679":[],"00145732":[],"00146158":[],"00146287":[],"00148047":[],"00148709":[],"00149047":[],"00149311":6,"00149403e":[],"00149956":6,"00152117":6,"00154733":5,"00154860":[],"00155308":[],"00155701":[],"00156376":6,"00158754":[],"00160348":[],"00161414":[],"00163245":[],"00163526":[],"00165867":[],"00166551":[],"00166612":[],"00168135":[],"00168251":5,"00169021":[],"00170724":[],"00172117":[],"00172452":[],"00174276":6,"00174457":[],"00175331":6,"0017567":[],"00176697":[],"00178871":[],"00181115":[],"00182747":[],"00183398":[],"00183869":[],"00184151":[],"00185848":[],"00186347":5,"00186362":[],"00186694":[],"001880":5,"00188233":[],"00189101":[],"00189665":[],"00190413":[],"00190483":[],"00190742":[],"00192092":27,"00192967":[],"00197982":[],"00198187":[],"00199495":[],"0019973":[],"00200":8,"00200523":[],"00201728":[],"00202624":5,"00202679":[],"00202756":6,"00203959":[],"0020496":[],"002050":[],"00206124":[],"0020717457079393":[],"00207732":[],"00208264":[],"00210909":[],"00211371":[],"00213144":[],"00213264":[],"00213616":[],"00213947":[],"00214832":[],"00215333":[],"00217499":6,"00217694":[],"00217774":[],"00219194":[],"00219502":[],"00219624":[],"0022":[],"00220306":[],"00223388":27,"00223784":[],"00224413":5,"00224679":[],"00224783":[],"00225189":[],"00225484":[],"00225909":[],"00227563":[],"00228698":[],"00228742":6,"00229911":[],"00233436":[],"00234197":[],"00234327":[],"0023548":6,"002381316302584886":6,"0023813163025848865":6,"00239349":[],"00241318":[],"00241645":27,"00242398":[],"00242421":[],"00242847":[],"00242954":[],"00242999":6,"00243186":6,"00243341":[],"0024401":5,"00245177":[],"00245758":[],"0024598":[],"00248403":27,"00248515":27,"00248884":[],"00248975":[],"00249435":6,"00249831":[],"00251517":[],"00253137":[],"00254359":[],"00254976":[],"00255459":18,"00258249":[],"00259385":[],"00264305":[],"00266858":2,"00267063":[],"00267887":[],"00270244":5,"00271624":[],"00272135":[],"00272586":[],"00274989":6,"0027511":[],"00277816":[],"00279707":27,"00280363":[],"00283853":[],"00284542":[],"00284647":[],"00286269":[],"00286972":[],"00287151":[],"00287871":[],"00289358":[],"00289724":6,"0029114":[],"00291334":[],"00291822":[],"00292838":[],"00293072":[],"00293132":[],"00293838":5,"0029508":[],"00298058":[],"00298213":[],"0030207":[],"00303693":[],"00305172":[],"00306724":[],"00308251":[],"003100":[],"00310113":2,"00310577":[],"00311528":[],"00312207":[],"00312361":6,"00313125":[],"00313452":[],"00313577":[],"00315593":6,"00316561":[],"00317175":[],"00318122":[],"00320321":[],"00320591":[],"0032153180657605116":6,"00323332":6,"00324512":[],"00324969":[],"00324986":[],"0032531":[],"0032542":5,"00325429":[],"00325450":[],"00327313":[],"00327833":[],"00328377":[],"00328431":[],"00328494":[],"003301":6,"00332591":[],"00334743":[],"00335448":[],"0033575":[],"00335936":[],"00335942":[],"00335956":[],"0033955154592040923":6,"00341073e":[],"00343257":[],"00345227":[],"00346394":[],"00348543":[],"00349817":[],"00353575":[],"00353823":5,"00354307":[],"00354492":[],"00354541":[],"00358844":[],"00359612":[],"003620":[],"00362111":[],"00362359":[],"0036237":6,"00363331":27,"0036367":6,"0036718":[],"00368581":[],"00369758":6,"00370554":[],"0037095":[],"00371918":[],"00372054":[],"00372262":[],"00372657":[],"00373984":[],"00374279":[],"00375475":[],"003755":[],"0037744":[],"00377783":27,"00378113":[],"00379522":[],"00382166":[],"0038332550504751595":[],"0038335":6,"00383795":13,"00383872":[],"00387135":[],"003909404072811221":6,"00391839":5,"00392139":[],"00395659":[],"00396398":[],"00396906":27,"00396988":[],"00398509":[],"0039987":6,"004":5,"00402083":[],"00408859":[],"004091940707753925":6,"00410387":6,"00410478":6,"00410646":[],"00411073":[],"004113634617443131":[6,27],"00411363461744314":[6,27],"004113634617443147":[6,27],"00413413":[],"00415289":[],"0041559863458613296":6,"00419078":[],"00420072":[],"00422908":[],"00423753":[],"00424012":[],"00424046":[],"00424909":2,"00424967":6,"00425203":[],"0042536":[],"00426027":5,"00426531":[],"00427304":[],"00428336":[],"00429899":[],"00431775":[],"00433417":11,"00434364":[],"00436097":27,"0043675":[],"00437973":[],"00438551":27,"00439232":[],"00439287":[],"00440346":6,"00440395":[],"00441613":[],"00443743":6,"00445655":11,"0044697":[],"00446979":[],"00447992":[],"004480":[],"00449913":[],"0045052":[],"00451679":[],"00453622":[],"00455536":[],"00456302":[],"004579219539673834":6,"00458878":6,"00460304":[],"00460405":[],"004610275230656182":6,"00461151":[],"00462287":6,"00463639":[],"00464812":[],"00465099":[],"00469926":[],"0047085":[],"00471782":5,"00471983":[],"00472199":6,"00472251":[],"00472512":6,"00472549":[],"00473818":[],"00474485":[],"0047469652158":23,"00474697":23,"00478655":[],"00479935":[],"00480366":[],"00480371":[],"00485256":[],"0048526":[],"00486095":[],"00486122":[],"00486302":[],"00486475":[],"00487843":[],"00488992":[],"0048938":[],"0049544":6,"004999999999999994":[],"004999999999999996":[],"005":[],"005000000000000001":[],"005000000000000002":0,"0050256":[],"00502702":[],"00504808":[],"0050523":[],"00506878":[],"00507876":[],"00509089":[],"0051127":[],"00512927":5,"00517114":6,"00517832":[],"00518122":[],"00519105":[],"00520339":[],"00521152":[],"00526348":6,"0053018":6,"005332694146660865":23,"00534938":[],"00536771":[],"00537238":27,"00537764":[],"00538851":[],"00542313":[],"00543374":[],"00544013":[],"00544651":[],"00546406":[],"00549812":[],"00550379":[],"00550433":[],"00551642":[],"00552246":[],"00553874":27,"00554552":6,"00555311":[],"00555765":[],"00555974":[],"00556826":6,"00556958":[],"00557755":27,"0055851":[],"0055941":[],"00562524":[],"00565625":[],"0056799":5,"00568413":[],"00569304":[],"00569405":[],"005704419462575732":[],"00570653":[],"00575158411598985":[],"00575271":[],"00579953":6,"00580212":[],"00584432":[],"00585113":[],"00587502":[],"00587564":[],"00587659":[],"00588657":6,"00594042":[],"00594353":[],"00595134":[],"00595615":[],"00598615":[],"0059888":[],"0060":[],"00600971":[],"00604105":[],"00604596":[],"006046":[],"00607264":[],"00607783":6,"00610607":[],"00611979e":[],"00613258":[],"00615193":[],"00615394":[],"006162":6,"00617499":5,"00618095":[],"00619918":[],"00620039":[],"00620347":[],"00622235":18,"00624452":[],"00626028":[],"00626773":[],"00626797":[],"00627535":[],"0062825":[],"00628874":[],"00630331":6,"00630419":[],"00631057":[],"00635214":[],"00635375":[],"00635475":[],"00635624":[],"00635865":[],"00636841":27,"006388972817810939":[],"0064028529426007315":[],"00641337":[],"00642221":6,"00642268":[],"00642935":[],"00643466":[],"00643899":[],"006448211685467599":[],"00644939":[],"00646613":[],"00650452":27,"00651112":[],"006546368424400406":[],"00657884":[],"00658316":[],"00658451":[],"0065912":[],"00660427":6,"006607878954530523":[],"0066334":[],"006636003206469997":[],"00663699":[],"00665974":[],"00666902":[],"00669662":[],"00670173":[],"006719367598355617":[],"00672607":6,"00673407":6,"00674454e":[],"00674891":[],"00676387":6,"0067774848881855445":[],"00679037":[],"00679797":[],"00679887":[],"0068011":6,"00680794":[],"006829400694106674":[],"00683222":[],"00683748":5,"00683964":6,"00686801":[],"00686806":[],"0068697":[],"00687175":[],"00693764":18,"00693821":[],"00695723":[],"00701442":[],"007021475481484069":[],"0070235":[],"007024126888938144":6,"00703161":[],"00703355":[],"00704231":[],"00704347":[],"00706728":[],"00710445":[],"00712321":[],"00713411":[],"0071642501586093735":[],"00717079":[],"00719176":6,"007241647844213045":[],"0072595":[],"00726135":[],"0072636":[],"00726673":[],"0072675":[],"00727211":[],"00727646693":[0,26],"00728374":[],"007315":27,"007322039527455341":[],"007328424743352142":[],"007352":[],"00736955":[],"00738008":[],"007384439324451296":[],"00739382":[],"00739489":[],"00741987":[],"00742577":[],"00743189":[],"0074331":5,"00745959":[],"007460527840396904":[],"0074724":[],"007472516848671787":[],"00752224":[],"00753349":[],"00754534":[],"00756465":[],"00756831":[],"00759119":6,"007607459165915922":[],"00761275":[],"007631009573777696":[],"007652435292578527":[],"007661225358276448":[],"00769731":[],"0076995":[],"00771754":[],"00777931":[],"007785":[],"00778523":[],"00779268":[],"00780776":[],"00781918":[],"00784393":6,"00784983":[],"00788598":[],"007891914573161948":[],"00790262":[],"00796028":[],"00798188":[],"007984802498580442":[],"00798988":[],"00799998":[],"00801855":[],"00802883":[],"00803064":6,"00803115":[],"008043926731954223":[],"00804985":[],"00805074":[],"00805892":[],"00806245":[],"00813313":[],"00813803":6,"008142188979400687":[],"00817631":6,"00817834":[],"00822879725131466":[],"00823002":5,"00825399":[],"00827728":6,"00828799":[],"00830291":[],"00830733":[],"00830822":[],"00831018":6,"00832189":[],"00834567":6,"00836148":[],"00836194":27,"00843617":[],"00844667":[],"00846262916105675":[],"00848002":[],"00848904":6,"00851512":[],"00853836":[],"008547718003792035":[],"00856436":[],"00857028":[],"00858536":[],"00858886":[],"00862101":[],"00862798":[],"0086649156":[0,26],"00866641755559425":27,"008675369724975977":5,"00868086":[],"00868983":[],"008771887357306985":[],"00879363":[],"00880924":[],"00883798":[],"00886469":27,"00887114":[],"008886608472273775":[],"008897354602673473":[],"008900933315885705":[],"00890232":[],"00892604e":[],"00893027":[],"00894639":5,"00900007":[],"00900879":[],"00903369":[],"00905423":6,"00906293":[],"00912605254990626":[],"00914964":[],"00915265":[],"00915433":[],"00915458":[],"009163470508352218":5,"009164545680330616":6,"00917248":6,"00919237":[],"00919685":27,"00920609":[],"00922229":[],"00923278":[],"00925952":[],"00929251598272297":[],"00934327e":27,"00934499":6,"00934865":[],"009371":27,"00938585":[],"0093869":[],"009442796383765939":[],"00946219":[],"00946466":27,"00946636":[],"0094885":[],"00949598":[],"00950778":[],"00952322":[],"0095239":[],"00952586":[],"00953152":[],"0095653":[],"00956774":[],"0096208":6,"00962351":[],"00971419":27,"00974702":[],"00976647":[],"00976807":[],"009780101492052846":[],"009843577857448754":[],"009855809602167547":[],"00986552":[],"00989896":[],"00990475":5,"00992331":6,"00996754":6,"00996972":[],"01":[0,1,2,5,6,9,11,13,25,26,27],"01001307":18,"01001378":[],"010018312644139219":6,"01004321":[],"01004759":[],"010053880703541525":[],"01006042":[],"01006401":[],"0100706":6,"0100949":[],"01011906":[],"01012542":[],"01012951":[],"01014809":[],"01018743":[],"010203":[],"01023308":[],"01024227":[],"01025184":[],"01025732":27,"01027992":[],"01027999506395317":27,"01028728":[],"01029574":[],"010296":[],"0103092":[],"01031184":[],"010315":[],"01031541":[],"01031903":[],"010331721306655165":6,"01033856":[],"010349011563455255":[],"010349061754867921":[],"01035984":[],"01038358":[],"01044641":[],"01045155":[],"01045774":[],"010490200097725966":[],"01050849":[],"010516485576646504":6,"0105301":[],"01054509":[],"0105536":[],"01056529":[],"01057262":27,"01059601":[],"0106014":[],"010647923296938294":[],"01066519":6,"01066976":[],"01068907":[],"01076611":5,"01076733":[],"01080274":[],"01083628":[],"01085192":[],"01088331":[],"01089797":[],"0109":[],"010902":[],"01091059":[],"01092119":[],"01094579":[],"01094846":[],"01095703":[],"01097223":[],"01097423":[],"0110":23,"011016261190269798":[],"011031108072207247":[],"01103246":[],"01107621901137467":6,"01111477":[],"0111154":[],"01112952":[],"01115073":[],"011225":2,"01128968":[],"01130932":[],"0113104":6,"01131704845508782":[],"01135167":[],"01135924":[],"01136976":[],"011376853216444322":[],"01148039":[],"01151984":[],"01152362":[],"01152476":[],"01159033914386312":[],"01161357":[],"01163425":[],"01164198":[],"01165807":[],"0117496656370668":[],"01176096":[],"011761161707539526":[],"011789112484359082":[],"01179792":6,"0118633":[],"01191227":[],"011917343246903285":[],"01191824":5,"01193226":[],"01201742":[],"012073649469946107":6,"0120771":[],"01212083":[],"01214101":[],"01219292":6,"01220627994790804":[],"01220987":[],"01222822":27,"01223198":6,"01229732982000352":[],"01231917":6,"01233322":[],"01233332":[],"01235481":[],"01239337":[],"01247118":[],"0125267":27,"01257265":[],"01262581":[],"01264352":[],"01265755":27,"012658":27,"01267006":[],"01268892":[],"01269201":[],"01271496":[],"01272215":[],"01278035":[],"01281486":[],"012815095479733507":[],"01282674":[],"012874822204495243":[],"01288591":[],"01289962":[],"01290811e":[],"01290947":6,"01291943":[],"01292378":[],"01295356":5,"01299337":[],"01300561":[],"0130673":26,"01312013610582818":[],"013121574062587286":6,"01318643":6,"01318991":[],"01321652":[],"01323615":[],"01325225":[],"01328032":27,"01329488e":[],"01331589":[],"01333519":[],"013341":[],"01334173":[],"01335463":27,"01335857":[],"0134093":[],"01344196":[],"01344581":[],"01347636":[],"01347916":6,"01348565":6,"01349183949256158":[],"01362274":[],"013623165903312745":[],"01362461":[],"01365363":[],"01366733":[],"01367553":6,"01370514":27,"01372375":[],"013742894355267554":[],"01379422":[],"01382052":[],"01384493":[],"01386842":[],"01389847":[],"013918526350129823":[],"01397146":6,"01397927":[],"01402574":[],"01404858":[],"01405237":[],"01405935":6,"01408051":[],"01409821":[],"01410563":27,"0141301":[],"01416528":6,"01420034":[],"01420455":[],"01423609":[],"01424197":[],"01427149":[],"01427509":[],"01432847":[],"01433809":5,"01436601":[],"01440978":26,"014436800088896381":6,"01445124":27,"01448147":[],"01449782":6,"01455922":[],"01456159":[],"01458337":6,"014586":27,"01458611":27,"0146081":6,"01463049":6,"01463052":[],"014717861297042837":[],"01474277":27,"01476097":[],"01477821":[],"01478446":[],"0148722":[],"01492":[],"0149713":[],"0149947":[],"01502518":[],"01506857":27,"0150723888951771":6,"01507238889517717":6,"01508632":[],"01508966":[],"01512934":[],"01514564":[],"01516054":[],"01518949":[],"01519861":[],"01521658e":[],"01524072":[],"015244":[],"01526688":[],"01529503":[],"01529708":[],"01531845":6,"01533437":[],"01537557":[],"0154132":[],"01541622":[],"01541649":[],"0154222":[],"01542292":[],"01544605":[],"01548272":[],"01549377":6,"01549726":[],"01549939":[],"01550381208433455":[],"01550546":[],"01552289":[],"015547997320024485":[],"01554799732002449":[],"01555268":[],"01558197":5,"01562311":[],"01566461":[],"01571866":[],"01574606":[],"01580414":[],"01581562":[],"01584232":[],"01591021":[],"01593612":[],"01594452":[],"01596986":[],"01597952":[],"01600491":[],"01603602":[],"01604113":[],"01607534":[],"01612033e":[],"01616709":[],"01617722":[],"01617829":[],"01619456":[],"01619664":[],"01621244":[],"016285782696017142":6,"01629703":[],"01631541":[],"01632149":27,"01632212":[],"01633169":[],"01633913":6,"0163462":18,"0163562":[],"01640891":6,"01642305":[],"01642653":27,"01644373":27,"01651438":27,"016541517177965183":[],"01655318":6,"01655376":27,"016587414993045335":6,"01659559":[],"01662346":[],"01663866":[],"01667827":[],"01671556":[],"01678384":[],"01678538":[],"016797223248922855":[],"01684326":[],"01686552155492476":[],"01690512":[],"01691871":[],"01691985":6,"01692802":[],"0169643":5,"01696872":[],"016972818397989375":[],"01702968":[],"01704432":[],"01707943":18,"01708691":[],"01708781":6,"01708852":6,"01713366":6,"01715886":[],"01715895":[],"01718359":27,"01722502":[],"01724499":5,"01731293":[],"01735584819559331":6,"017355848195593312":6,"01736502":[],"01736839":27,"01743586":[],"01747077":[],"0174912":[],"01752908":[],"0176":[],"01762067":[],"01765474":[],"017665":5,"01771317":[],"01773579":[],"01775594":[],"0177568":[],"01777143":27,"017779706159045054":[],"0178182":[],"01782721":[],"01783105":[],"01783414e":27,"0178392":[],"01784714":[],"01788241":[],"01791265":[],"01797226":[],"0180":[],"01800865":[],"0180194":[],"01806634":[],"01809873":[],"01811045":[],"0181166":[],"01815639":27,"018232":27,"0182548":26,"01828101e":[],"01828593":[],"01831050e":6,"01831207e":6,"01834042":[],"01835274":[],"018425115690829077":[],"01842511569082908":[],"01842607":[],"01848399":[],"01853101":27,"01853877":[],"01856502":[],"01859922":[],"01865187e":[],"01866537":6,"01867985":[],"0186893":[],"01869843":[],"01873344":11,"01873869":5,"01878557":23,"01881546":[],"01882522":[],"01883403":[],"01887299":27,"01889695":[],"01895265":[],"0189559":[],"01896127":[],"01897575":[],"01898855":6,"01899119":[],"01900861":[],"01905883":6,"01908936":6,"019140656913589":[],"01914066":[],"01915888":[],"01916913":[],"0191717":[],"01918548":[],"01919702":[],"01919885":[],"01925607":[],"01931743":[],"01934278":[],"01936105":[],"0193714":27,"01950910892363912":[],"019509108923639135":[],"01956921":[],"01959569":[],"01961887":[],"01962446":[],"01963203":[],"01963611":6,"01969145":6,"01970507":27,"019709199043491926":[],"01971341":[],"01975416527168255":6,"01975848":6,"01985410516551995":[],"01987248":[],"01989299":[],"01989549":[],"01992842":[],"01999282":[],"01it":6,"02":[0,4,6,7,12,26],"02002135":27,"020056422754215136":27,"020056743323946552":[],"020056743323946562":[],"0200568":[],"02006627":23,"0201182":27,"02012338":[],"02017377":[],"02017735":[],"02024701e":[],"02024962":6,"020271":[],"02030107":[],"020350773309798075":[],"02035077330979808":[],"02036289":[],"02036545":[],"02037613":[],"020404272938413143":[],"02042476":[],"02044454":[],"02045972":5,"020460":5,"02049182":[],"02052907":27,"02053512":[],"02054837e":6,"02058094":[],"02061026":[],"02061094":[],"02063627410934057":[],"020636274109340574":[],"02066371":[],"02068067":6,"020696011238315368":[],"02069601123831537":[],"02071142":[],"02071639169376938":[],"020716391693769383":[],"0207306":[],"02073509":5,"02075115":[],"02075802":[],"02079171":[],"02081274":[],"02083512":[],"020876278817012876":[],"02087627881701288":[],"02089297":[],"02090296":[],"02093685":[],"02095266":[],"02097611":[],"02098261":6,"02100763":[],"02103178":[],"02106518":[],"02108223":[],"02109939":[],"02115366":[],"02123176":6,"02124814":[],"0212604":[],"02126208":[],"02131025":[],"02138525":[],"02138725":[],"021592704588021174":6,"021592704588021178":6,"02161016":[],"02165757":[],"02174822":[],"02178063":[],"02178583":[],"02183021":[],"02186131":[],"02190496":[],"02192091870116783":[],"02194347":[],"02198702e":6,"02198703e":6,"02200532":[],"02206965e":[],"02208512":6,"02210753":[],"02215597":[],"022156":[],"02217472":[],"02220437":[],"022210866177877393":[],"02221978":[],"02222502":26,"02227466":[],"02228115":6,"02229529":6,"02230304":27,"02231445":[],"02241311":[],"02244382":[],"02244542":[],"02244755":[],"02250553":[],"02252765":5,"02260804":[],"02267534":27,"02268114":[],"02276062":[],"0227732":27,"02279801":[],"02279888":[],"02283241":[],"02284019":[],"02286429":[],"02287894":[],"02288816":[],"022934":[],"02293408":[],"022964339924731444":[],"022964339924731455":[],"022999498260366198":6,"02308518":[],"02314144":[],"0231703":[],"02329285":[],"02330402":[],"02333106":27,"02337045":[],"02339588":[],"02348765":6,"02355925":[],"02356396":[],"02357982":[],"02365049":6,"02365779":[],"02374036":18,"02375823":[],"023810076900619058":[],"02385515":[],"02387339":[],"023888460698069384":[],"02392053":[],"02395532":[],"02400359":[],"02400968":[],"02410491":27,"02410507":[],"02413829":27,"02416381":[],"02417252675174287":[],"02417252675174288":[],"02419664":[],"02424794":[],"02426651":[],"02430551":[],"024318244280276506":[],"02447466":[],"0245528":6,"02460355":[],"024632":[],"02468681":[],"02472584e":[],"02485679":[],"02492265":5,"02493299":[],"02498832":6,"025027":[],"02503753":6,"02507163":[],"02508836":[],"02509184":[],"025092":[],"02511518":6,"02518542":[],"02522069":6,"02527366":[],"02531037":[],"02536494":[],"02539264":27,"02539496":[],"02542246":[],"02545639":[],"02546675":[],"02570599":[],"025709":[11,27],"02574735e":[],"02576476":[],"02582613386840159":[],"02586427":6,"02588522":[],"02590077":[],"02592329":[],"02593026":[],"02593596":[],"02597965":[],"02603725":[],"0260906":6,"02610528":[],"02614999":[],"02618169":[],"02622906":[],"02623724":[],"026250840755899812":[],"02625193":8,"02635071":27,"02635835":[],"02636112":[],"02636766":[],"02641575":[],"02646579":27,"02659851591375224":[],"026605727637184554":6,"026605727637184558":6,"02666129":[],"0267125":27,"02689869":[],"0269":[],"0269769337028265":[],"02699539":[],"02699873":[],"02702328":[],"02702978":[],"02706508":[],"02707227":5,"02711384":[],"0271761":[],"02717614469297529":[],"027176144692975295":[],"02723445":6,"02730775":[],"02733896":[],"02745507":[],"02746315":[],"02747654":[],"0275742":[],"02757522":[],"02760079":[],"02760977349102238":6,"027609773491022394":6,"02761736":[],"02763182":[],"02764023":[],"02765621":27,"0276735":[],"02774744":[],"02783602":27,"02790465":[],"02791218":[],"027931820179105067":23,"02798066":[],"0280":[],"02800421":[],"02804715":[],"0280728":[],"02809859":[],"02810253":[],"02810512":[],"02816083":[],"02825691704728396":[],"028256917047283964":[],"02836801":[],"028389":[],"02838933":[],"02845284":[],"0284569":27,"02857":4,"02865084":[],"02866734":[],"0286851":[],"02869709":[],"02873348":[],"02876697":[],"028797":[],"02881357":[],"02881541":[],"02888614870607853":[],"02888733707368374":[],"028892725706100464":[],"02889288030564785":[],"02892224":[],"02896611":27,"029":[],"02900389":[],"02900886":5,"029009":5,"02911162":[],"02912421":[],"0293055":[],"02930957":[],"02936993":27,"02942218":[],"02944425":[],"02947717":[],"029483":5,"02950229":[],"0295741":[],"0296969":[],"02971902":[],"0297291":[],"029733":27,"02976145":6,"02987833":[],"02992852":[],"02994311":5,"02997344":[],"02f":[6,19],"03":[1,6,27],"03010304":27,"03011012":[],"0301458":[],"03015649":[],"03019138":[],"03025391":[],"03027848":[],"03032441e":6,"03037095":[],"030371":[],"03042532":27,"03045198":[],"03049638":[],"03056169":[],"03058676":[],"03060273":[],"03061555":[],"03063575":[],"03065428":[],"0306628":27,"03067182":[],"03074083":[],"03077640549":4,"03099776":5,"031":5,"03101773":[],"03102525":[],"03104011":[],"03106988":[],"03107818":[],"03110176":[],"03110433":[],"03112297":[],"03113051":[],"03117156":[],"03117346":[],"03119091":[],"03126418":26,"03131157":[],"03131926":[],"031405320178937886":5,"03141454":[],"03145163":[],"0314934":[],"03172365":[],"03177421":[],"03192124":[],"03195835":[],"03196357":6,"03203047":[],"032142":[],"03219974":[],"03230546":[],"03241934":27,"03251863":5,"03256632e":1,"03257064":[],"03258131":23,"03267527":6,"03270341":[],"03273744":[],"03279636":6,"032829":26,"03285652":[],"03286226":[],"0330308045183219":6,"0330308045187757":6,"03308408":5,"03310687":[],"0331134070762626":[],"03311341":[],"03316272":[],"03321947":[],"03325534":[],"03331552e":[],"03338173":[],"03342039":[],"03353115":[],"03365768507152769":6,"03370315":[],"03375068":[],"03376827":[],"03378293":[],"033790755027115954":[],"03388678":[],"03389626":[],"03389964":[],"03391617":27,"03394827":[],"0340060287164625":[],"03400603":[],"034047":[],"03407676546787885":9,"03412098":[],"03413554":[],"034169230664804":[],"03418359":18,"03422156":[],"03432913":[],"03438051":[],"03443175":[],"03447512":6,"034557":27,"03456485":[],"03465345":[],"03467756":[],"03472297":[],"034723":[],"034985":[],"0350905":27,"03512212":26,"03518305":[],"03523894":[],"03530741":[],"0353961":[],"03543039":[],"03543455":[],"03543554":[],"03543958":[],"035513525941656535":[],"03556032":[],"03557316":[],"0356":[],"03562355":6,"03564082":[],"03568016":[],"03568439":6,"0358":[],"0358108":[],"03582958":[],"03585592":[],"0359":[],"035909":[],"03591454":[],"0359565":5,"0361":[],"03611471":[],"03616508":[],"0362":[],"0362312015777108":[],"03630548":6,"03631783":[],"03633213":[],"0364":[],"03645765":[],"03649344":27,"0365":[],"03660869":[],"03663294":[],"0366352614656884":[],"0367":[],"0368":[],"03688621":[],"0369":[],"03697739":[],"0370":[],"03707133":11,"03717939":[],"03718245":[],"0372":[],"03727597":[],"03728183e":[],"0373":[],"03735403":[],"03745017":[],"0374748":[],"0375":[],"03756493":[],"0375827":[],"0376":[],"03760958":27,"03774822e":[],"0377625":[],"0377961":[],"0378":[],"03781367141738902":6,"038":[],"0380":[],"03800193":27,"03804636":[],"0381":[],"03813208":[],"03814292":6,"03815288":6,"038211969489939":[],"03821197":[],"0382287":18,"03827068":[],"0383":[],"038300":[11,27],"0385":[],"03856554":[],"0386":[],"0386443":[],"03868779":[],"03872663":[],"038727":[],"03876784":[],"0388":[],"03880581":[],"038844":[],"0389":[],"03894328":[],"03894873":[],"039":[],"03902389":[],"039039":5,"03903968":[],"03904224e":[],"03908546":[],"0391":[],"0391324":27,"03914571":[],"0393":[],"03935519":[],"03940381":[],"03945128":[],"03946221":[],"0395":[],"03955811":[],"0396":[],"03967758":[],"0398":[],"03982972":[],"0399587275832265":[],"039967668952797":6,"0399676689527975":6,"03999935":[],"04":[1,6,11],"0400":[],"04008416":27,"0401":[],"040102":5,"04010697":6,"04014929":[],"0401585":[],"04028659":[],"0403":[],"04037945":27,"04045671":[],"04049356":27,"0405":[],"04051862":[],"04057027":[],"04058784":[],"04059438":[],"04063602":6,"0407":[],"0408":[],"04081883":[],"04083439":[],"04084872":[],"041":9,"0410":[],"04103307":[],"041050166905828786":[],"04107874":[],"041079":[],"04111096":[],"0411487294305088":6,"041148729430523":6,"0412":[],"04127087":[],"0413787":[],"04138379":[],"0414":[],"04143717":[],"0415":[],"04166112":[],"0417":[],"04175792":[],"0419":[],"04191624":[],"04191629":[],"04193203":27,"04198166":[],"042044382097756156":[],"0421":[],"04210353":26,"04210928":[],"04214702":[],"04218461":[],"04220758":6,"04223754":[],"04225015":[],"0423":[],"0424":[],"04246989":[],"04252528":[],"04259402":[],"0426":[],"04272582":5,"042726":5,"04276324":[],"04276619":[],"0428":[],"04292593":[],"04294775":26,"04295757":[],"04299253":[],"043":9,"0430":[],"04310095":[],"04310698":[],"04314342":[],"04315108":5,"0431531":[],"0432":[],"0434":[],"043464037468677":[],"043464037468677004":[],"04346721":5,"0435":[],"04355837":6,"04362":9,"04362755":[],"0437":[],"04372783":[],"0437499":2,"04383596":27,"04389027":6,"0439":[],"04391163":[],"043912":[],"04400708":[],"0441":[],"04415412":[],"04416475":[],"04423486":6,"0442411":[],"04426647":[],"04426744e":27,"0443":[],"044334":27,"04438319":[],"04446751":[],"04448923":[],"0445":[],"04450975e":[],"044613":6,"0447":[],"0447389":[],"04473913":[],"04478101":[],"04482932":[],"0449":[],"0451":[],"0453":[],"04532032":[],"04537385":6,"04539538":[],"04543942":6,"04547353":[],"0455":[],"04555073":[],"04557362":[],"04561434":[],"04565093":[],"04566964":6,"0457":[],"04570437990371566":[],"04574692":[],"0458":9,"04581197":[],"04584982e":[],"0459":[],"04597076":[],"04598223":[],"0461":[],"04619338":[],"04626011":13,"0463":[],"04634083":[],"04640211541749118":[],"04648335":5,"0465":[],"046531":[],"04662395":[],"04669463":[],"0467":[],"04683565":5,"0469":[],"04690007":[],"04699527":[],"0470705":[],"0471":[],"04720848":[],"0473":[],"04746791":[],"0475":[],"04754825003279861":[],"04754825003279862":[],"0476021":[],"0477":[],"04770636":[],"04771954":[],"04778116":[],"04784395":6,"0479":[],"04798291":27,"0481":[],"04811582":[],"04814746":[],"04816611e":[],"04818727730430286":6,"04822955":[],"04828291":[],"0483":[],"0485":[],"0486":[],"04869126e":[],"0487":[],"04875464":27,"048920":[],"04892055":6,"0489354":[],"04899609":[],"0490":[],"04900086":[],"04908155":[],"04909093":6,"04912436":6,"04919181":[],"0492":[],"04921476":27,"04926154":27,"04926746":[],"04931542":[],"04937621":[],"0494":[],"049462":[],"049556996627824":6,"0495569966278269":6,"04956816":[],"04958045":[],"0496":[],"0496375":[],"04964381":[],"04965227":[],"04967168":27,"04977051":[],"04977093":[],"0498":[],"04it":6,"05":[1,3,4,6,13,19,27],"0500":[],"05000867":[],"05006306":[],"05009826":6,"0501397":27,"05024857":[],"0503":[],"05049873":[],"0505":[],"05056463":[],"05062537":[],"05063935014924984":[],"050663":[],"05066303":[],"05066388e":[],"0507":[],"05081566":[],"0509":[],"05091289":[],"05100557":[],"05100875":6,"0510594":[],"0511":[],"05110385":[],"05126901":[],"05137822":[],"0514":[],"051418":5,"0516":[],"05160313473529168":[],"051649":[11,27],"0516821246279795":[],"0517473":5,"05179687":[],"0518":[],"05183886":[],"05195184":26,"05197707":[],"0520":[],"05203331":18,"05206787e":[],"05211842":[],"05227921801205679":6,"0523":[],"052305":27,"05234611":[],"05235058":[],"0523738":[],"05238712":[],"05243298":[],"0525":[],"05250129":[],"05253796":[],"05255806":27,"05263":9,"0526992":[],"0527":[],"05274561":[],"052836183775253814":[],"05293662":[],"052992":[],"0530":[],"05302":9,"053157":11,"0532":[],"05322899":[],"053326337300775":23,"05332634":23,"0534":[],"05341376":[],"053417":27,"05350297":[],"05357244":[],"05363014989229746":[],"05363498":27,"05364854":8,"05368812":27,"0537":[],"05383795":6,"053849":5,"05388549e":[],"0539":[],"053944":[],"0541":[],"05412502":[],"05419212":[],"0542566":[],"05432856":[],"054375":[],"05439747":27,"0544":[],"05441837":27,"05446143":[],"05447415":6,"05459089":[],"0546":[],"054617":27,"054655":27,"05466359":[],"05485044745873865":[],"05485044745873867":[],"05486379":27,"05486516":27,"0549":[],"054954":[],"05502969":[],"05505310046363":2,"0551":[],"05515143e":[],"05526765":[],"055294":11,"0553":[],"05533":9,"05544019":[],"0556":[],"055676":27,"055697":[],"05570692":[],"055706923889776":[],"055734":27,"0558":[],"05589275":[],"055893":[],"055910":27,"05594058":[],"055987":27,"05599355":[],"05599455":[],"056019":[],"056030":[],"0561":[],"05612456":[],"05614483":5,"05623":9,"05629549":[],"0563":[],"05637138":[],"056418":[],"05648":9,"05651951":6,"0565419":[],"0566":[],"05667":9,"056683":27,"0568":[],"056870":[],"05687021620384533":[],"056898":[],"05695438":[],"056996":[],"057050038714429464":[],"05705003871442947":[],"05708058":26,"0571":[],"057124":[],"05713748":[],"05715377":[],"057154":[],"05716368155342902":6,"057179":[],"0571849":27,"057219":[],"057231":[],"0573":[],"057300":27,"057361":[],"057393":27,"057406":[],"057418":27,"057446":[],"057457":27,"057462":[],"057502":[],"05750876":[],"057537":11,"057582":11,"0575829":[],"0576":[],"057613":[],"057657":[],"057722":27,"0578":[],"05781491e":[],"057831":[],"057835":27,"05785343":6,"057864":[],"05789007":6,"05792524":[],"05796251":6,"05807125":6,"0581":[],"058121":[],"058216":[],"0582573":[],"05825965":[],"05834444":[],"058388":[],"0584":[],"058435":[],"05846851":[],"05852079":27,"05852973":[],"058550":[],"058552":27,"058556":[],"058567":[],"0586":[],"058645":27,"05873105":[],"058738":[],"058793":[],"05880359":[],"05883":9,"05884":9,"058854":27,"058856":[],"0589":[],"058921":[],"0589434":[],"058952":27,"058996":27,"059004":[],"05900655":[],"059031":27,"0591":[],"05915945740690532":[],"05916189":[],"059182":[],"059232":11,"05924492":[],"0594":[],"059427":[],"059439":[],"05948007":[],"05966593":[],"059685":[],"0597":[],"059736":[],"059749":[],"05977068":[],"059807":27,"05980771":[],"05982961":[],"059830":[],"05989176e":[],"05989727":[],"0599":[],"059925":11,"059949":[],"059951":27,"05996719":[],"05999":9,"059993":27,"06":[3,4,6,9,27],"060001":[],"060037":[],"060083":27,"0602":[],"06020587":6,"06020683e":[],"060254":27,"06026294":[],"060278":[],"060300":[],"060334":[],"060349":[],"060387":[],"06043581":6,"0605":[],"060524":11,"060567":[],"06059304":[],"06066397":[],"060691":[],"0607":[],"0607062":[],"060716":27,"06072551":[],"06075426":[],"060756":27,"06077967":[],"060845":[],"060872":27,"06090176":[],"060952":11,"060971":[],"060983":[],"0610":[],"061013":[],"061034":[],"06106228":18,"061068":11,"06107268":27,"061078":11,"061084":[],"061092":[],"061138":[],"061163":27,"061186":11,"061239":[],"06124676":[],"06125720e":[],"061264":[],"061281":[],"0613":[],"061359":27,"06136355":[],"061443":27,"061452":27,"061484":[],"0615":[],"061614":27,"061642":[],"061679":[],"061747":[],"061775":[],"0618":[],"061813":[],"061826":[],"061833":[],"061836":[],"061869":[],"061888":[],"061915":[],"061938":11,"061977":[],"06199837":[],"06200174":5,"062016":27,"062023":[],"062071":[],"062082":[],"062082386342319454":6,"0621":[],"062100":[],"062221":[],"062250":[],"0622641":[],"062273":[],"062292565":4,"06231773":[],"062325":[],"062337":27,"062351":[],"062390":[],"0624":[],"062470":[],"062485":11,"062523":[],"062599":27,"0626":[],"062624":27,"062631":[],"06263415":[],"062675":[],"062696":[],"06270382e":[],"062749":[],"062768":11,"062797":[],"062852":[],"062874":27,"062894":[],"0629":[],"06294313":[],"062963":[],"062967":[],"06299237e":[],"063000":[],"063006":11,"06301519":[],"063019":27,"063051":[],"063055":[],"063061":27,"063076":11,"06307625":[],"063080":27,"063081":[],"06308305":26,"063159":[],"0632":[],"063225":[],"063260":27,"06331463":[],"063325":[],"063359":[],"063374":11,"063378":[],"063407":[],"063434":[],"06343533":[],"063436":[],"063443":[],"0635":[],"063500":[],"063533":11,"063542":[],"063597":[],"06361921":[],"06362348":[],"063653":27,"063705":[],"063716":[],"063722":[],"063723":[],"063724":[],"063747":[],"063760":[],"0638":[],"06380941468319971":[],"063822":[],"063832":[],"063864":[],"063894":27,"063905":[],"063912":[],"063927":[],"06394871":[],"063953":[],"06397412":[],"063980":[],"063982":[],"064000":11,"06404226":26,"06406913":[],"06407201":[],"064074":27,"0641":[],"064101":[],"064113":[],"06413187":[],"064134":[],"064145":[],"064224":11,"064245":[],"06424868":[],"064275":[],"064294":[],"0643":[],"064320":[],"064412":[],"064420":[],"06444":9,"064444":[],"064501":27,"064527":[],"064532":[],"06453579006728322":6,"064568":[],"0646":[],"064602":[],"064606":27,"064609":27,"064627":[],"064634":[],"064640":[],"064696":[],"064699":27,"064702":11,"06472468":27,"064793":27,"06481015":[],"064814":[],"064827":[],"06484621":[],"064856":[],"06486283":27,"064874":[],"06488406":[],"064896":[],"0649":[],"06491736":6,"064938":[],"064948":[],"064985":[],"064987":[],"065006":[],"065012":[],"06502562":[],"065026":[],"065045":11,"065069":[],"065077":27,"065089":[],"065119":[],"06511966":[],"065147":[],"065155":11,"065158":[],"065171":11,"0652":[],"065207":[],"065214":[],"065215":[],"065249":[],"0652633":[],"065289":[],"06532712":[],"0653477":[],"06535721144629267":[],"06535721144629268":[],"065378":27,"065390":27,"065396":5,"065410":27,"06547790180152352":6,"06547790180152355":6,"0655":[],"065517":[],"06554078":[],"065559":[],"065582":[],"065588":[],"065593":[],"065613":[],"065614":[],"065631":[],"065645":11,"065666":11,"065690":11,"065735":[],"065753":[],"06578047":[],"0658":[],"065801":[],"065808":[],"065815":[],"06584783":27,"065872":[],"065909":11,"065910":[],"06594872":[],"065982":[],"065984":[],"066042":[],"066066":27,"066077":[],"0661":[],"066119":5,"066143":[],"06615863":[],"066200":[],"066323":[],"066344":[],"06637":9,"06638817":[],"0664":[],"06642248":[],"066438":[],"066453":[],"066467":[],"066474":27,"066500":27,"066564":11,"06656566":[],"066566":[],"066612":27,"066614":11,"066647":27,"06664867":[],"06666117":[],"0666807":2,"06668218":[],"06668613e":[],"0667":[],"066752":[],"066762":[],"066768":[],"066787":27,"066804":[],"06682268":[],"0668226833598415":[],"066837":[11,27],"066854":27,"066865":[],"066870":[],"066891":5,"066919":[],"06692165":[],"066944":11,"066992":[],"066999":27,"0670":[],"067009":[],"067042":11,"06713371":[],"067139":[],"067220":11,"06724062":5,"067272":[],"0673":[],"067315":[],"067328":[],"067388":11,"067409":[],"067419":[],"067420":[],"067433":11,"067437":[],"067440":[],"067457":[],"067462":[],"067591":[],"0676":[],"067611":[],"067619":[],"067630":[],"067637":27,"067659":11,"067660":[],"067707":27,"067709":5,"067745":[],"067748":[],"06776308367941637":11,"067765":[],"067769":[],"067774":[],"067820":[],"067826":[],"067832":[],"0678507":[],"067859":[],"0679":[],"067915":[],"067929":[],"067955":[],"067979":[],"068":[],"068017":11,"068019":11,"068082":[],"068083":[],"068141":[],"0681795":[],"0682":[],"068211":11,"068241":[],"06825695":[],"068257":[],"068264":27,"068307":27,"068340":[],"068364":11,"068378":11,"06839199":27,"068403":[],"068406":[],"068407":[],"06842111e":[],"068437":[],"068439":[],"06843936":[],"068441":27,"06844519414009444":6,"06844519414009445":6,"0685":[],"06853772":[],"068551":[],"06855126e":[],"068568":5,"068606":[],"068609":[],"068612":[],"068624":[],"068629":27,"068650":[],"06866315":[],"068671":[],"068726":11,"068727":27,"068731":[],"068734":[],"068743":[],"0687531":[],"068757":[],"068771":[],"068774":[],"0688":[],"068800":[],"068809":[],"068815":[],"068816":[],"06886644":[],"068906":27,"068931":[],"068945":[],"068974":[],"068987":[],"06899505":[],"068997":[],"069028":27,"069033":[],"069048":[],"069055":[],"069084":11,"0691":[],"069119":[],"069136":[],"069148":11,"06915522":[],"069213":[],"069239":[],"069257":[],"069296":[],"06931309":[],"069320":[],"069327":[],"069365":[],"069384":[],"069388":[],"069391":[],"0694":[],"069452":27,"069456":[],"069475":[],"069522":[],"069570":[],"069584":27,"069594":[],"069595":[],"069629":[],"06962991":[],"069630":[],"069634":[],"069672":[],"0697":[],"069711":11,"069733":[],"069739":[],"069746":[],"069753":11,"069766":[],"069803":[],"069821":[],"069822":[],"069865":11,"069919":[],"069939":[],"06995653":[],"069968":11,"06it":[],"07":[6,27],"0700":[],"070009":[],"070042":[],"07004211":[],"070043":27,"070067":[],"070072":11,"070086":[],"070107":[],"070129":[],"070146":27,"07015414034641979":26,"070157":[],"07016":9,"07017":9,"070170":[],"07020234":[],"070213":27,"070220":[],"070228":[],"07023654656164897":[],"070275":[],"0703":[],"070338":[],"070370":11,"07038555":[],"07039":9,"070400":[],"070406":[],"0704374681593734":[],"070441":[],"070457":27,"070461":[],"070535":11,"070569":[],"070571":[],"070582":27,"070597":[],"07061848":[],"07062318":6,"070645":[],"07068033":[],"070694":[],"0707":[],"070705":[],"070737":27,"0707621":[],"070769":[],"070795":[],"07080407e":[],"070811":[],"070845":[],"070852":11,"070865":[],"070876":11,"070889":[11,27],"070964":[],"070986":27,"0710":[],"071008":[],"071062":[],"071080":[],"071138":[],"07115":9,"071160":11,"071191":[],"07119676":[],"0712":[],"07121097":[],"071252":[],"071258":[],"071274":5,"0713":[0,26],"07130734":[],"071323":[],"07136324":[],"07139233":[],"071423":[],"07145103":11,"071452":[],"071456":[],"071498":[],"071535":11,"071554":[],"071564":[],"071579":[],"071587":[],"0716":[],"07160048164232538":6,"0716004816423254":6,"071601":[],"071602":11,"071611":[],"071662":[],"071685":[],"071726":[],"071773":[],"07178264457746288":[],"07178725":[],"071788":[],"071792":[],"071801":[],"071805":[],"071854":5,"071857":11,"071872":[],"071879":[],"07188255":[],"0719":[],"071901":[],"071908":11,"071915":5,"071942":[],"071951":[],"071960":[],"07199977":[],"072000":27,"072009":[],"072022":[],"072034":5,"07203435":5,"07208896238192342":[],"072098":[],"072111":27,"07211696":26,"072128":[],"072132":27,"072140":11,"072168":[],"072194":[],"072200":5,"07225884":[],"07226292":[],"072285":[],"0723":[],"072305":[],"072310":[],"072338":[],"072369":[],"072404":[],"072410":[],"072470":5,"072476":27,"072478":5,"072483":[],"072486":[],"072495":[],"07250301":[],"072527":[],"072576":5,"072585":11,"0726":[],"072621":27,"072624":[],"072637":[],"072650":[],"072676":[],"072679":11,"072707":[],"072718":[],"072735":5,"072790":[],"072802":[],"072805":[],"07282462e":[],"072830":[],"07285":3,"07286416":[],"0729":[],"072914":[],"07291818479810824":[],"072931":[],"072948":5,"072953":[],"072954":5,"072967":[],"072971":11,"072973":[],"072976":[],"072990":[],"073008":[],"073011":[],"073059":[],"073063":[],"073079":[],"073080":[],"073088":[],"073113":5,"073131":[],"073141":11,"073152":[],"073154":[],"073184":[],"073187":[],"0732":[],"07321674":[],"073223":11,"073256":[],"07327275854723572":11,"073302":5,"07331468":[],"073354":[],"073362":[],"073376":[],"073378":[],"073387":[],"073406":[],"073417":5,"073421":[],"073422":[],"073425":11,"073431":[],"073444":[],"073445":[],"073458":[],"073465":[],"073471":[],"073476":[],"073494":[],"073498":[],"073504":[],"073541":[],"073582":[],"07358383":[],"073586":[],"073592":[],"073598":[11,27],"0736":[],"073618":[],"073621":5,"073630":[],"073634":[],"073635":[],"073640":[],"073644":27,"073706":11,"073708":[],"073712":[],"073716":[],"073720":[],"073728":[],"073734":[],"073736":[],"073766":[],"073773":5,"073797":[],"073802":[],"073810":[],"073824":[],"073828":11,"073840":[],"073842":[],"073853":[],"073858":[],"073871":5,"073876":[],"0739":[],"073929":[],"07393685":[],"07393855":[],"073972":[],"073980":[],"073984":[],"073987":[],"074008":[],"074010":[],"074026":[],"07404236":[],"074067":[11,27],"074084":27,"074096":[],"07410236e":[],"074108":[],"074128":11,"074152":[],"074161":[],"07417526":[],"074181":[],"0742":[],"07420079":[],"074201":[],"074210":27,"07421084":5,"074211":[],"074265":[],"074292":5,"074301":[],"074306":[],"074307":[],"074319":5,"074323":27,"074327":[],"074328":[],"074330":[],"074340":[],"074355":[],"07438088":[],"074403":[],"074411":11,"074419":[],"074425":11,"074428":5,"074439":[],"074455":[],"074457":[],"074477":[],"074509":[],"0745177":[],"074545":[],"074560":[],"07456491":5,"074577":[],"0746":[],"074686":[],"074708":[],"07472152457534222":[],"074772":[],"074780":[],"074809":[],"074826":11,"074879":[],"0749":[],"07490892":6,"074956":5,"074969":[],"074970":[],"075017":[],"075030":[],"075058":[],"075079":5,"075089":[],"075092":11,"075171":[],"0752":[],"075249":[],"075294":[],"075331":[],"075342":11,"075352":[],"075421":[],"075454":[],"075471":[],"075513":[],"075521":[],"075523":[],"075582":[],"075587":[],"075597":5,"0756":[],"07560398":[],"07563916":[],"075684":[],"075692":11,"07575375":0,"075758":[],"075779":[],"075804":[],"07581582":[],"075816":27,"075858":5,"075867":[],"075889":27,"0759":[],"075980":[],"075984":[],"075990":[],"076012":[],"076066":[],"076105":[],"076125":[],"076127":[],"076136":[],"076150":27,"07617146":[],"076249":[],"076266":[],"07627734":[],"0763":[],"076331":[],"076337":[],"076349":[],"076354":[],"076355":[],"076413":[],"07641937":[],"076427":5,"0764924":6,"076504":[],"076527":[],"076560707521647":[],"07656071":[],"076586":[],"076587":[],"076592":[],"0766":[],"07660514":[],"076612":[],"07663067400487368":[],"076636":5,"076658":[],"076662":[],"076678":[],"076697":5,"076721":[],"076734":11,"076756":11,"07678":9,"076786":5,"076814":[],"076820":[],"0768224464930487":[],"07682245":[],"076825":[],"076833":[],"076857":[],"076897":[],"07692307692307693":9,"076938":[11,27],"076950":[],"076993":11,"076996":[],"0770":[],"077004":5,"077017":[],"077042":[],"077068":[],"07706814":[],"077110":11,"077117":5,"077121":5,"077146":11,"077168":27,"077171":[],"077194":[],"077219":[],"077226":[],"07725229":26,"07728714":5,"0773":[],"077304":11,"077313":[],"077330":[],"077358":5,"077403":[],"077429":[],"077431":5,"077455":[],"077460":[5,27],"077466":5,"07747943":[],"077517":[],"07752620206774397":[],"077542":[],"077549":[],"077571":[],"0776":[],"07760032":[],"077613":[],"077630":[],"077650":[],"077705":[],"077710":[],"077731":[],"077734":[],"077756":[],"07777777777777778":[],"0778":[],"07780377":[],"077810":5,"077822":5,"077833":[],"07783419":23,"077847":[],"077920":5,"077931":[],"077938":5,"078":[],"0780":[],"078029":[],"078035":11,"078041":[],"07804489":[],"078106":[],"078110":27,"078139":5,"078154":11,"078187":[],"078196":5,"07820":9,"07824586e":[],"078258":[],"07828283":[],"078283":[],"078329":[],"078336":27,"078370":5,"078377":[],"078379":11,"0784":[],"078412":[],"078423":[],"07842458":[],"078425":11,"078433":5,"07844345":13,"078445":11,"078467":[],"078514":5,"078529":5,"078540":27,"078545":[],"078548":[],"078593":[],"07859555":[],"078624":[],"07864":9,"078656":[],"078667":11,"0787":[],"078707":[],"07871":9,"078732":[],"078744":11,"078791":5,"078845":[],"078868":[],"078974":27,"078981":5,"078986":27,"079026":5,"079067":5,"0791":[],"079121":[],"079124":[],"079125":[],"079150":[],"079156":11,"079165":[],"079170":[],"079202":[],"079223":5,"079226":[],"079243":[],"079255":[],"07929472":[],"07932386":[],"079330":[],"079353":[],"079381":[],"079391":[],"0794":[],"07942491":[],"079432":[],"079434":[],"079437":[],"07944154":[18,26],"079455":[],"079581":[],"079597":[],"079606":[],"079611":[],"07962234":[],"079640":5,"0796891867672603":6,"079700":[],"079715":[],"079731":[],"079741":5,"079775":5,"079777":[],"0798":[],"079820":[],"079836":[],"079849":[],"079854":[],"079878":[],"07988085572440823":[],"079882":[],"079892":[],"079914":[],"079946":27,"079948":[],"079958":[],"079964":[],"079969":[],"079971":[],"079975":[],"07it":[],"08":[6,9,23,27],"080045":[],"080069":[],"080086":[],"080089":[],"0801":[],"080105":[],"08015655":[],"080157":[],"080163":[],"080181":[],"080193":[],"080197":5,"080233":[],"080248":[],"080256":[],"080262":5,"080284":[],"08030109":[],"080322":[],"080383":11,"0804":[],"080406":[],"080411":[],"08043851":5,"080473":[],"0805":[],"080502":[],"080505":[],"080541":[],"080543":11,"080571":[],"080572":[],"08057264":[],"080577":[],"080607":[],"080616":27,"08066381":[],"080665":5,"080690":[],"080696":5,"080702":[],"080750":[],"080755":[],"080764":27,"08076969085177746":[],"080773":[],"080832":[],"080878":5,"0809":[],"080903":[],"080906":[],"080933":[],"080935":[],"080953":[],"080980":[],"081000":[],"08101799":[],"081057":[],"081120":[],"081126":[],"081133":5,"081136":[],"081150":[],"081164":[],"081199":5,"0812":[],"081246":[],"081276":27,"08128265":[],"08131003":6,"081322":[],"08145936":[],"081466":[],"081472":11,"0814985":[],"081538":[],"08156108":6,"081563":5,"081570":[],"081581":5,"081584":[],"08159052":[],"08159374":[],"0816":[],"081617":[],"081621":[],"081647":[],"08165104":27,"081655":27,"081677":[],"081679":[],"081680":5,"081718":[],"08174081":[],"081742":[],"081753":[],"081762":[],"081772":[],"081779":[],"081804":[],"081821":[],"081832":[],"08185019":[],"08185315":[],"08187418e":[],"081896":[],"081908":[],"08191117":[],"081916726599974":[],"081937":[],"081955":[],"081960":[],"08196262":23,"081976":[],"0819836":[],"0820":[],"082105":5,"082168":[],"082189":[],"082196":[],"082203":[],"082205":[],"08221578":[],"082225":[],"082231":[],"082234":[],"082246":[],"082248":[],"082255":[],"082260":[],"0823":[],"082306":[],"08231145":[],"082329":[],"082347":[],"082368":11,"08238863600759742":[],"082390":11,"08245909":[],"082506":[],"08251519":6,"082517":[],"08255129":[],"08256285":[],"082577":[],"082590":[],"082615":11,"082621":[],"082632":[],"082653":27,"082657":[],"0827":[],"08271388":[],"08272096":[],"082734":[],"082746":[],"082754":[],"082760":[],"082781":[],"082805":[],"08282867":[],"082829":[],"082875":[],"08293853":[],"08294341":[],"08298871e":[],"08299273e":6,"083000":[],"083015":[],"083066":[],"083096":[],"0831":[],"08318298e":1,"08319649":[],"083242":11,"083269":[],"083317":[],"08333333":[],"08333333333333333":9,"083348":5,"08336233266":4,"083371":[],"083393":[],"08339896":[],"083414":[],"083416":[],"083423":[],"08346766":[],"0835":[],"083511":[],"083527":27,"08352721390288316":[],"083604":[],"083628":5,"083630":[],"083636":5,"083669":[],"08368077":[],"083726":[],"083762":5,"08376632":[6,27],"083766322923899":[6,27],"0837663229239043":[6,27],"083777":5,"083797":5,"0838":[],"083848":[],"083853":[],"083873":5,"08388138":[],"08389064":[],"083894":5,"08394792":[],"083982":5,"083988":[],"084042":[],"084051":[],"084075":[],"084076":27,"084078":5,"084110":[],"084114":5,"084137":5,"084141":[],"084164":[],"08417181":[],"084172":[],"0842":[],"084207":[],"084212":[],"084247":[],"08426840630693412":6,"08426840630693413":6,"084278":[],"084340":[],"08434487":[],"084365":[],"084387":5,"084457":11,"084471":[],"084489":[],"08449894":[],"08451695":[],"084536":[],"08455":9,"084550":[],"08456295":[],"084594":[],"0846":[],"08460107110703337":5,"084617":[],"084631":11,"084633":[],"084644":[],"0846527":[],"084672":[],"084678":[],"08474":9,"084740":[],"084764":[],"084809":27,"08481871":[],"084843":[],"08484802e":[],"084878":[],"084946":[],"084968":[],"084995":[],"0850":[],"085023":[],"08502551":18,"08505008":[],"08511411":23,"085121":[],"08513055":13,"085163":5,"085172":[],"085223":[],"085235":[],"085251":[],"0853136633465326":[],"085374":5,"085382":[],"085390":[],"085391":[],"0854":[],"085425":[],"085427":[],"085454":[],"08551306":6,"08551338":[],"08551625":[],"085557":[],"085709":[],"085746":5,"08576932":6,"0858":[],"085815":11,"085835":[],"085842":[],"085858":[],"085877":[],"085888":[],"085898":[],"085908":[],"085918":11,"08593216":6,"08604699":[],"086054":[],"086090":[],"0861":[],"086108":[],"08611111111111111":[],"086172":[],"086291":5,"086337":[],"086394":[],"08641073":[],"086411":[],"086441":[],"0865":[],"086511":11,"086518":[],"08652153831327969":[],"0865305":23,"086540":[],"086636":[],"086762":5,"086773":[],"086774":[],"086830":[],"086843":[],"086864":[],"086868":[],"086891":[],"086892":5,"0869":[],"08690":9,"086900":[],"08692465":[],"086932":[],"08695635":[],"08703034":[],"08704102":26,"087062":[],"087063":[],"087159":[],"087175":[],"087180":[],"087184":[],"087211":[],"087212":[],"087247":[],"087250":[],"087254":[],"087259":5,"087271":[],"087280":[],"08728068":[],"0873":[],"087311":[],"08737007811453563":[],"087393":[],"08756397":26,"087566":5,"08758":9,"087603":[],"087642":[],"08766472":23,"087674":[],"0877":[],"08770809":[],"087716":11,"0877162":11,"087761":[],"08776426":[],"087768":5,"08780195":[],"087802":[],"087845":[],"087887":[],"087899":[],"088007":[],"0881":[],"088155":[],"08815506":[],"088156":5,"08817972":[],"0881981":5,"088202":[],"08822806":18,"08823":20,"088240":[],"088314":[],"088323":5,"088339":[],"088369":5,"08838465":13,"088410":5,"088416":[],"08842405":[],"08844723450419088":[],"088456":[],"0885":[],"088510":[],"088521":[],"088563":[],"088665":[],"088697":[],"08871404":5,"08874631":[],"08876865":[],"08881497884574564":27,"08888888888888889":[],"0889":[],"088900":[],"089008":[],"08902":9,"0892144853354966":[],"089227":[],"08928088":[],"0893":[],"089356":5,"089365":[],"089414":[],"089513":[],"089523":[],"0895387":27,"089539":27,"089664":[],"089678":[],"0897":[],"089710":[],"08973767":[],"089752":[],"089781":[],"089793":[],"0898612":18,"08988514":[],"089893":5,"08990571":[],"08992459":[],"089925":[],"08996":9,"089979":[],"09":[1,3,4,27],"09002808747938586":26,"090091":5,"0901":[],"090123":[],"090301":11,"09030678":[],"090313":11,"090361":[],"090365":[],"0905":[],"090537":5,"09076319":[],"090777":[],"090832":[],"09087594":18,"090919":[],"090945":[],"0910":[],"091021":[],"091023":[],"091072":[],"091090":[],"091293":[],"091372":[],"0914":[],"09149148":[],"091571":[],"09166666666666666":[],"091685":[],"091697":5,"0917":9,"091714":[],"09172409":6,"09173024":[],"091796":[],"09179697e":[],"0918":[],"091913":[],"092":[],"09201618":[],"092051":11,"0921503":[],"09215268":[],"09215672":[],"0922":[],"092206":[],"092254":[],"092327":5,"092412":[],"092450":[],"092452":[],"092487":[],"092493":[],"09251":9,"092516":[],"092560":[],"092566":[],"092598":5,"0926":[],"092852":[],"093":[],"0930":[],"093080":[],"09308274":[],"093096":11,"09312344":[],"093218":[],"09327269724691106":[],"0933":[],"09336399":[],"093386":5,"093408":[],"0934955":[],"0935":[],"093551":[],"093559":[],"093570":[],"093657":[],"09375511":18,"093866":[],"0939":[],"09391542":[],"093993":[],"093996":[],"094001":[],"094026":5,"094050":[],"09408163":[],"094082198961999e":6,"0940821989652176e":6,"094163":[],"094206":[],"0943":[],"0944":[],"09444444444444444":[],"0944958":[],"09455047":[],"09477998":26,"0948":[],"094993":5,"0952":[],"09524714":[],"09527217":[],"095273":[],"0954":[],"095420":[],"095528":[],"095596":[],"0956":[],"095624":[],"09567992":[],"09575469":[],"0958":[],"095821":[],"09599224":[],"09603196":[],"09607524":[],"09609807":5,"0961":[],"0963911829588757":[],"096434":[],"09648484":[],"0965":[],"09676156e":[],"096788":11,"0969":[],"097049":[],"09706624":[],"09712586e":[],"09712817":18,"0972":[],"097238":[],"09726322":[],"097294":[],"0973":[],"09739722453284225":23,"0974":[],"09744":9,"09760094":[],"0978":[],"09780":9,"09787053":[],"09791":9,"09797549e":[],"097995":[],"0983":[],"09832963":[],"09851217":[],"09858511":[],"09861229":[18,26],"0987":[],"098879":[],"09899913":[],"09903804":8,"09917246":[],"09919198949274803":6,"0992":[],"099209":[],"09920915":[],"099275":[],"0994119523801045":[],"09951287404314545":1,"099552":[],"0996":[],"099701":[],"09978307":[],"0998713":[],"09995364":[],"0n":[0,26],"0s":[3,4],"0x1022cc0d0":[],"0x1045a7eb0":[],"0x105b84cd0":[],"0x107a08b50":[],"0x10febc640":[],"0x10febcf10":[],"0x1162c32b0":[],"0x1183f2640":[],"0x118c9b1c0":[],"0x118f6d610":[],"0x1194ee790":[],"0x11ada9670":[],"0x11cb23a60":[],"0x11cb23fd0":[],"0x11de12520":[],"0x11df37280":[],"0x11f5f6520":[],"0x11fdbfd60":[],"0x122d2e790":[],"0x12334c310":[],"0x12463a760":13,"0x1262b9a90":[],"0x126323b50":[],"0x1268ba940":[],"0x126f4fa00":[],"0x126f922b0":[],"0x127461970":13,"0x127a38670":[],"0x127e425e0":[],"0x128cc9730":[],"0x128f6eee0":[],"0x129deef10":[],"0x12b1c2700":[],"0x12e9e6280":[],"0x13002a640":[],"0x1305bb1c0":[],"0x136af27c0":[],"0x13792dfa0":[],"0x13d4a1640":[],"0x13eaa7490":[],"0x13ef4e1c0":[],"0x156346610":[],"0x1635f5340":[],"0x1646da640":[],"0x168435640":[],"0x168f3fca0":[],"0x16c9a8880":[],"0x2800bca90":[],"0x280a35220":[],"0x2810f3430":[],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,21,22,23,24,25],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,21,22,23,24,26,27],"100":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,21,23,24,26,27],"1000":[0,1,2,4,5,8,11,13,14,17,23,26,27],"10000":[2,5,6,10,11,13,23],"100000":8,"10001":10,"10005449":26,"1001":[9,23],"1002":23,"1003":23,"10030":9,"10031273":13,"10035098":[],"100351":[],"10041841":[],"1005":23,"1007":[],"1007216":[],"10077114273548984":6,"10080981":[],"1009":23,"10095106250934528":[],"101":[],"101058":[],"1011":23,"10120164":[],"1013":23,"1013904243":23,"101409":[],"10141413e":6,"1015":23,"10154612":[],"10156593":[],"1015am":26,"1016":[],"10160394":[],"10188623":[],"102":3,"1020":[],"1023":23,"10230":9,"1024":3,"10247463629935179":[],"10251317e":[],"10258872":23,"1026":23,"10268273":[],"1027":23,"1028":[],"103":1,"1030":23,"10320791":[],"103273":[],"10340":9,"10354083919795562":[],"103558":11,"10355817":11,"1036131":[],"103654":[],"1036544":[],"1037":23,"10378326e":1,"1038":23,"10391807":6,"10398646080125036":6,"10398646080125037":6,"10399743":[],"10399758":[],"104":[],"1040":23,"10401756":[],"10405456":11,"10426473":[],"10430":9,"1044":[],"10440776":[],"104411":27,"10455569":[],"1047":23,"10477501":[],"10479359":[],"10490195":[],"105":[],"10518426027535331":[],"10520":9,"10552836390308734":[],"10555555555555556":[],"1056":[],"10572":[],"10582403e":[],"10587157250737213":[],"10589577":5,"106":[],"1060":[],"106095":[11,27],"10615323e":[],"10638925":[],"1063892533225306":[],"10641647":[],"106431":[],"10645534":[],"10656534":[],"10683216":[],"107":[],"10706523":[],"10731958e":[],"10741066e":[],"10776220958055382":[],"1078":[],"10790125813226321":27,"108":[6,9],"10812381":[],"108124":[],"10814421":[],"10815559091341771":[],"10851799e":[],"10856388":18,"10888134":[],"1089452":[],"109":[],"10913":6,"10927588":[],"109276":[],"10931453":6,"10942838":[],"10954867e":[],"109556":[],"10955639":[],"1095957":[],"10959669":[],"10960":9,"10983954":[],"10e":[],"10m":4,"10th":9,"10x":[0,26],"11":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,18,19,22,23,24,25,26,27],"110":[],"1100":23,"11007935789924998":[],"1101":23,"11022302e":5,"11022363":[],"11027723":[],"11039573e":[],"11053892":[],"11078018494378859":[],"111":[1,7,12],"11100":9,"11105306":[],"11110246":[],"11112589053037751":[],"11137061e":[],"11141718":18,"11148997":18,"1115":[],"11166818":[],"11197884":[],"112":[],"11202337":[],"1123":[],"11232098":[],"112383":[11,27],"1124":9,"11265847":[],"113":[],"11309850e":[],"11339075":[],"1134":[],"11352187":[],"1136198":[],"11385399":[],"11388888888888889":[],"11390":9,"113e3eff54a8":[],"114":[],"11400145":[],"1141":[],"11427818":[],"11450263":[],"114550":[],"11462415":5,"1148":[],"11482289e":6,"1148557":[],"114856":[],"11495144":[],"115":[],"11507992e":1,"11547777218876518":6,"1157376":[],"115822":6,"11587186":[],"11590":9,"116":[],"1160326":[],"11628185e":[],"11655508":[],"11657689":[],"11660":9,"11666666666666667":1,"117":8,"11704038":[],"117214":11,"11721416":11,"117430":[],"11743722141098414":[],"11744554e":6,"117456":[],"11749517":[],"11766707e":[],"11780":9,"118":2,"11816312":[],"1182":[],"118318":27,"11836068":[],"11837308":[],"11837671":[],"1184":4,"11840":9,"11890":9,"11896755":[],"119":2,"11911824":[],"11924676":[],"11925465":[],"11958697e":[],"119936":2,"11m":[],"12":[0,1,2,3,4,5,6,8,9,11,12,13,18,23,25,26,27],"120":[2,3],"12011393e":[],"12023635e":[],"1203":9,"1203284":8,"12044974":27,"120450":27,"12049203":[],"12049349":26,"120508":[],"12050822":[],"1206":8,"121":[8,9,10],"12129289":[],"1213":[],"12155548":[],"1215pm":[24,26],"121771":26,"1217953":[],"12182967":6,"122":[2,8,9,10],"12222222222222222":1,"12224317":[],"122282":[],"1224":[],"1228485":18,"123":2,"12318726e":6,"12330033":27,"12333649":6,"123711":6,"12380":9,"12381425":[],"124":[0,26],"12400":9,"12417157":[],"12422141":[],"12427537":[],"12428533":[],"124413":[],"12441319":[],"125":[],"1250":[],"12506251":[],"125304962667421":[],"12552073e":6,"12568438":[],"12575322":[],"12591227":27,"12594172":[],"126":9,"12602928e":[],"1261":9,"12618549":5,"12622478":[],"12625715":[],"12634093":[],"1265":9,"12693357":[],"12695501":[],"127":4,"1271":6,"12747234e":[],"12765651865754318":[],"1277":6,"12777777777777777":[],"127812":[],"12786653":[],"12790":9,"128":[3,4,13],"12814914":[],"1285896350792584":[],"12858964":[],"12864187e":[],"128664":6,"12867125":[],"128711548693024":11,"12871842":27,"128x128":[],"129":2,"12911793":[],"12921833":[],"1297":9,"1298":9,"12994608":[],"129963":[],"12998822":[],"12m":[],"12pm":[24,26],"13":[0,1,2,4,5,6,9,11,12,13,18,20,21,23,26,27],"130":9,"13003291":6,"13010854":[],"13021533e":[],"13041":[],"13055555555555556":[],"130694":27,"13069442":27,"13076331":[],"131":9,"13155259":[],"132":9,"13201296":[],"13220608e":6,"1326":9,"13261905":[],"1326197715":26,"13280":9,"133":7,"13310008":[],"13314468":[],"13333333":[],"1336":[],"13371503":[],"134":[],"13404683":[],"13410999":[],"134110":[],"13422946e":[],"1343":[],"13443663368799186":18,"13444436":[],"1345":[],"13451895":[],"134565":[],"1346":[],"13492339":[],"135":9,"13535942":6,"13542726":[],"13571683":[],"13580759":[],"136":[],"13621148":[],"136236":[],"13646574":5,"13661243e":6,"13679863":6,"137":[],"1371":6,"13740":9,"137400784702911":[],"13747168":[],"13749148e":[],"13756504":[],"13759245e":[],"137652":[11,27],"1377":[3,4],"1378":[3,4],"1379":[3,4],"138":[],"1380":[3,4],"1381":[3,4],"1382":[3,4],"13821034":[],"13827006":[],"13829298":[],"1383":[3,4],"1383885":[],"1384":[3,4],"1385":[3,4],"1386":[3,4],"13865173":5,"138775":[11,27],"1387933":[],"13880371":[],"1388888888888889":[],"1388976715362099":[],"13890":9,"13894606338836166":[],"139":[],"1392559585048734e":6,"139255958997547e":6,"13925918083728273":[],"139431112903922":[],"1394311129039245":[],"1395084586525954":[],"1395235273363669":[],"13987729":[],"13990198":18,"13m":[],"14":[0,2,3,4,5,6,8,9,10,11,12,13,18,23,25,27],"140":[2,9],"14021063":6,"14023656":[],"14036907":[],"141":2,"14100":9,"1412":[],"14133772":[],"141338":[],"1416054":[],"1416398":6,"14174745":6,"14179769":[],"1418":9,"142":9,"14250":9,"14277718e":27,"143":[2,7,9],"1437":1,"1438149":[],"14389839":[],"144":[],"14400":9,"1440501043841336":1,"14421971":[],"14440":9,"14465971":26,"1446729567":4,"14479759":18,"14482255345953607":[],"144993":[],"145":2,"14526269":[],"14538257":[],"14549142":[],"146":2,"14600426":[],"14629156":[],"146591":[],"146704":[],"14670413":[],"14697721":[],"147":[],"14702929":[],"14710":9,"14722222222222223":1,"1473833":[],"147400":[11,27],"147420":[11,27],"147896":[],"1479":9,"148":[3,4],"148009":[],"14812206":6,"14816084":5,"148161":5,"14837948":[],"14839786":[],"14845":[],"14857":[],"14859":6,"148632":[],"148711":6,"14871402":[],"14889678":26,"14896753":[],"149":[3,4],"149294":[],"149299":[],"14957387e":[],"14962649":[],"14967691":[],"14978631":[],"14g":6,"14m":[],"15":[0,1,2,4,6,7,8,9,12,13,15,16,23,26],"150":[3,4,8,9],"15005476":5,"150218":[],"15024162":[],"15043":[],"15047127":[],"15048894":[],"15055258":[],"150592":6,"150726":[],"150749":[],"15098090e":6,"150989":[],"151":[3,4],"15119514":[],"1511986":[],"151199":[],"15124893":26,"15130074e":6,"1513237":[],"15148810e":[],"151515":[],"151517":[],"15169011":18,"15183857":[],"152":[3,4,9],"15200":9,"1520039":[],"152701":[],"1527777777777778":[],"153":[],"15301931e":[],"153036":27,"15313054":[],"1532465":[],"15352815e":[],"15383855":[],"15384615384615385":9,"154":[],"15400455":[],"15431083":[],"15443469e":[],"15449587":[],"15457792":[],"155":9,"155073":6,"15536966":26,"15553403":[],"155664":[],"15578306":[],"15593134e":[],"15597277":[],"156":[],"1560":[],"15628391e":[],"1563":[],"15649598":[],"15654521":[],"15673992":[],"15693449e":[],"156956":5,"15697121e":[],"157":[],"15706394e":[],"15724663":[],"1575":9,"15768662":[],"158":9,"15804451e":[],"15806326":[],"15827078":[],"15863713":[],"1587":9,"159":[],"1590":9,"15912833":[],"15913825":[],"15953495":[],"15957051":[],"15962297":[],"15972118":[],"15975618":[],"15990":9,"15990395":[],"15am":26,"15g":6,"15m":[],"15pm":[],"16":[1,2,3,4,5,6,8,9,10,23,26,27],"160":[],"1600552":[],"16022138":[],"1603":3,"16043757":[],"1608179281668718":[],"16081793":[],"16082975":18,"16087734":[],"16089488":[],"160913":[],"161":[],"16111111111111112":1,"161573669199933":[],"16168603e":[],"16168848":[],"1619":[],"162":[],"16211139":5,"16220":9,"162246":5,"16231451":4,"1625":9,"1628":9,"162999":[],"163":[],"16304863":27,"163049":27,"1630775253":[],"16309331":[],"16325134":[],"16336815":[],"16342407":5,"16343471":6,"16356503":[],"16365729":18,"16384":3,"16385836":[],"16389131":[],"164":[],"16422434":[],"16456084":[],"164812":[],"16481217":[],"16487517":[],"16492688":[],"165":[],"16500":9,"16509204":26,"16521791":[],"16539406e":[],"16570701":[],"166":9,"16650509":[],"16655769":26,"16666667":[],"167":[],"16725475":[],"16761991":[],"16762223e":[],"167787":5,"168":9,"16805821e":6,"16815626":[],"16816701":[],"169":[],"1690242":[],"16921883":[],"169219":[],"16933554":[],"16954396e":[],"16it":[],"17":[1,2,4,5,6,8,9,23,27],"170":[],"17006020e":[],"17016741":[],"17022089147584388":[],"17078905":[],"17086577":[],"1709":9,"171":[],"17121077":[],"17136288":[],"17138811":[],"17144765665252978":[],"171525":27,"1715252":27,"17174962e":1,"172":[],"17222222222222222":[],"1724601":[],"17257288":[],"1726":9,"17275391":[],"173":[],"17300":9,"17303133e":[],"17305512":[],"173087120899479":11,"1731":9,"17346628":26,"17350714":23,"17362603":[],"174":[],"17432695":[],"174327":[],"17440757e":[],"17446471":6,"17451":[],"17456211":[],"17459712":[],"17469167":[],"174692":[],"175":[],"1752":9,"175300":27,"17540272":[],"176":[],"17603044":[],"17604689":[],"17615838052499":[],"17622984":26,"17641709":6,"17644873":[],"17647619":6,"17648722":[],"177":[],"17707259":26,"17733642":[],"17736035":[],"17757752":[],"17758251":[],"17777777777777778":1,"178":[],"17801022":5,"17829104":[],"17841553":[],"17861098":6,"17886788e":[],"179":[],"1790289":[],"17917768":5,"17927079":[],"17934657e":[],"179404":[],"17949575":5,"17953942":11,"17964265":[],"1797":[1,3],"17m":[],"18":[2,4,6,7,8,9,10,13,23],"180":[],"18023984e":[],"18029127":5,"1803":20,"18044829":[],"1804736801658276":[],"18065292":[],"18065689e":[],"1807":4,"1809":9,"181":9,"1812":9,"18128852":[],"18188532":[],"182":[],"1821":9,"18243276e":[],"18269964":[],"18276764":[],"183":[],"18302441":[],"18303628e":[],"18314387":[],"18321314e":[],"18324395":[],"18333333333333332":[],"1836":[],"18375572":[],"18383522":27,"184":9,"18409473e":[],"18410452":[],"18433544":[],"184519":27,"18474816e":[],"1848":[],"18488944":[],"18489312":[],"1849":[3,4],"18496":[],"185":[],"1850":[3,4],"18500705":[],"1851":[3,4],"18518557":[],"1852":[3,4],"18525109":[],"1853":[3,4],"18534538":18,"1854":[3,4],"1855":[3,4],"1856":[3,4],"1857":[3,4],"185713":[],"18571316":[],"18573920e":[],"1858":[3,4],"1859":[3,4],"1859082":[],"186":6,"1860":9,"18604968":[],"18611111111111112":[],"18613217e":6,"1862":[],"18624242":[],"18660":9,"18663019":23,"18670072e":27,"18673098":11,"187":[],"1871257":[],"18726877":[],"1875353":[],"18753987":[],"187540":[],"18761375":[],"18780801":[],"188":[],"188029":11,"18802913":11,"18807824e":[],"18824315":[],"18829946":[],"18856622":[],"1887":6,"189":6,"18905573e":[],"189367":[],"189496":27,"189621963782685":[],"189622":27,"18993003":[],"19":[2,4,6,9,13,15,23,26],"190":[],"19003":6,"19010909":[],"19026272":[],"19029687":[],"19073291":[],"191":[],"19114964":[],"19123037":[],"19154013e":[],"19166136":[],"19166666666666668":[],"191963":[],"192":[],"19207979":5,"1921649":[],"19220":9,"193":[],"19314584":[],"19335893":[],"19343949":[],"19347197":23,"1937079":[],"19393543":[],"194":[],"1940":0,"194042826649355e":6,"1940428268204826e":6,"19407473":[],"19426595":[],"19429581":[],"1943":12,"19431161":[],"194312":[],"19436962e":[],"19457423":[],"1946":[],"19461919e":[],"19463967":[],"194861702085775":[],"195":[],"1950":[],"1956":9,"19569961":[6,27],"19571155":[],"19590868":[],"196":[],"19623863e":[],"19652884e":[],"19683648":[],"197":[],"1970":[18,26],"19717411":[],"19718893":[],"19721923":[],"1973":9,"197370":[11,27],"19740":9,"19743643":[],"19769458e":[],"1977":[],"19772911":[],"1978":[],"19783086":[],"1979":6,"19790229":[],"198":[],"19800":9,"19802685":[],"19824029":[],"19825288e":[],"19870992":[],"19888258":[],"199":[],"19910208":[],"19942021":[],"19968537":[],"1997":[],"19983530":6,"1999":[20,21],"19it":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,23,26],"1d":[1,2,3],"1e":[1,2,3,4,13,14],"1e10":14,"1e4":6,"1f":1,"1k":18,"1n":[0,26],"1s":[3,4],"1x":[0,26],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,21,22,23,25],"20":[0,1,2,4,6,7,8,9,13,23,24,26],"200":[0,2,3,4,8,9,10],"2000":[0,27],"20015436":6,"20017452":[],"20020918e":[],"2004":13,"2006":25,"2008":26,"2009":[],"201":[],"2010":1,"20101684":[],"2011":1,"2014":4,"20142361":[],"2015":1,"2016":[0,26],"2017":[],"2018":[0,6,27],"2019":[8,9],"202":[],"2021":[6,14,27],"2022":26,"2023":[3,4,20],"2024":[15,16,26,27],"20240089":[],"20261698e":[],"20265997":[],"2027":9,"20272874":[],"20277777777777778":1,"20289224":[],"203":[],"20355156":[],"20366091":[],"20371418":[],"204":[],"20404676":[],"20430356":[],"20484434":[],"20485165":[],"204932":[],"20493234":[],"20494446":[],"205":[],"20500":9,"20513942":[],"205231":[],"20525241":[],"20536556":[],"20554718e":[],"20580025":[],"20594513":[],"206":[],"2060":9,"2069":9,"20695722":[],"207":[],"2070":[],"20716469":[],"20726939":[],"2073339":[],"20752401":[],"207545":[11,27],"20759186":11,"207592":11,"20764972":[],"207888":[],"208":[],"208190393562401":[],"20820528e":[],"208257931205295e":9,"20833333333333334":1,"20867052175003364":6,"209":[],"20916295":27,"20944931":26,"20946226e":[],"20956318":[],"20967833":[],"20975255":26,"209789":[],"20980":9,"20m":[],"21":[0,1,2,3,4,5,6,7,9,12,13,18,23,26,27],"210":[],"210340":[11,27],"21049575":[],"210496":[],"21053692":[],"21055226":[],"21058097":5,"21059098":[],"21074205":[],"211":[],"2110":[],"21110005":[],"21129518e":[],"21130":9,"21152452":[],"2116753732":4,"21169159e":6,"212":[],"21237677e":[],"21275991":[],"213":[],"213103":[11,27],"213743":[11,27],"214":[],"21401303e":[],"2141":[],"2144122":13,"21460652":[],"214607":[],"21467941":[],"21489709":[],"21493779":[],"215":[],"21522960e":[],"21530495e":[],"21546249":[],"21596432":6,"21597684":[],"215977":[],"216":[],"2161908":[],"216290":[11,27],"216683":[11,27],"2167":[],"21682143":[],"217":[],"21706540e":[],"21710121":[],"2171263":[],"217282":11,"21728232":11,"21747116506516934":[],"21760199":[],"21793896":23,"218":[],"218292":11,"21829201":11,"21831419":11,"2184":[],"21860973":[],"21879159":[],"2188":3,"219":[],"21908927":13,"21910072":[],"21913628":[],"2193546":[],"21947455":[],"22":[0,1,2,4,5,6,9,12,13,18,26,27],"220":[],"22001043":[],"22015945":18,"22044605e":[5,27],"22091393e":[],"22092934e":[],"221":8,"22103874e":[],"221180":27,"22130126":[],"22144968":11,"221450":11,"2216":9,"22169909":[],"22178183":[],"2218":9,"221805":2,"221921":5,"22197349":[],"222":[],"22209775e":[],"22227163e":[],"222400":27,"22241171":[],"22291364":[],"22297358":[],"22297752":[],"223":[],"22328509":[],"22354860e":[],"22368396":[],"223884":[],"22388434":[],"224":[],"22416937":[],"22467274":[],"22475203":[],"225":4,"22524684":[],"22532324":[],"22574374":[],"2257879":[],"226":[],"22616902":[],"22623101e":[],"226296567359957":[],"2266005204464925":26,"22663583":[],"22679825":[],"22689573":[],"22690428":5,"227":[],"22729927":[],"22752605":[],"2277":3,"228":[],"228059":[],"22805937":[],"22812848":18,"22830615":[],"2284246870217162":6,"22847924":5,"22885848":[],"228942":[],"229":[],"229241":[],"22928063":26,"22935165":[],"229352":[],"22939767":18,"22974406":[],"22979294e":[],"22981877":26,"22996417":[],"23":[1,2,4,6,7,9,12,13,15,18,26],"230":[],"23002365e":6,"23031634":[],"23044077":[],"23047985":[],"23076923076923078":9,"23077531":[],"231":[],"23110543":[],"2314999":[],"23167717":5,"23177548":[],"23192074e":[],"232":[],"232435":27,"23257415":[],"2326112614636416":[],"2326112623420511":[],"23261268155176382":[],"23288045":[],"233":[],"23305112":[],"23333333333333334":[],"23374497":18,"2338675":27,"233868":27,"23392132":[],"23395094":[],"23396766e":[],"234":6,"234370":[],"23437046":[],"23499198":[],"235":[],"23516186":[],"23528337":[],"2356299":[],"2361161":[],"236354":26,"23636536":[],"2364":9,"23643365":[],"23692158":[],"237":[],"23712617":[],"23754723":[],"23780865":[],"2379":6,"238":[],"23849741":[],"2389":3,"239":3,"23908241":18,"2397":9,"23971032":27,"23979359":[],"23997187":[],"24":[0,1,2,4,6,9,13,18,26],"240":[],"24005098e":[],"24053124e":[],"24085321":[],"241":[],"24128917":[],"24140":9,"24159785":27,"2416":9,"24175744e":6,"2419":9,"242":[],"24251681":[],"24252405":[],"24280599":[],"242806":[],"243":[],"2430":9,"24339513":[],"2436295":23,"24390":9,"244":[],"244119":[],"24411906":[],"24434901e":[],"24444444444444444":[],"24485338":23,"245":[],"24569547":[],"246":2,"24602503e":[],"24605947":[],"24647622":[],"2465439":[],"24679418":[],"247":[],"24785221":[],"24797183e":[],"248":[],"24809277":[],"24828523":[],"24829908":5,"24849282":[],"248493":[],"249":[],"24906604e":6,"24960675":[],"24968001e":[],"24it":6,"25":[2,3,4,5,6,7,8,9,11,13,19,27],"250":[2,4,7,9],"25000":0,"25002882":[],"250029":[],"25018275":[],"25042813e":[],"25050227":[],"250636":[],"25077762":[],"25084316":[],"25091007":[],"251":[],"25139357":[],"251879":27,"252":[],"2522939":[],"252436":27,"25254477e":[],"25285802":[],"253":[],"25312591":18,"254":[],"25404247":23,"2544422":[],"2545724":[],"255":3,"255001":27,"25549693":[],"25561567":[],"256":[2,4],"25617654e":6,"25617658e":6,"25650679":[],"25663096":[],"256841168348422":18,"257":[],"257004":[],"25700419":[],"25713219e":[],"2572":9,"2575":9,"25772788":[],"25794223e":[],"258":[],"25844504":[],"25872167e":[],"25898624":[],"259":[],"259153":[11,27],"2591811":[],"25920793":[],"25923926":[],"2597":9,"259901":[],"25it":[],"25m":[],"26":[2,4,6,9,13,16],"260":[],"26037366":[],"26063304":[],"260840":[],"26084008":[],"261":[],"26113838e":[],"26121775e":[],"261498":[],"26149831":[],"2619":[],"262":[],"262638":[],"26263837":[],"26280707e":[],"26291451":[],"26292364":[],"26297455":27,"263":[],"26301436":5,"26318493":[],"26331821e":[],"26370919":[],"26372759":[],"264":4,"26403986587386163":18,"26409315307910025":6,"2640931530791004":6,"2641":[],"264377":[],"26437713":[],"264421":[],"265":[],"2650":9,"265109911":4,"26513904":[],"26514544":[],"26518597":[],"2654":9,"266":[],"26660718e":[],"26666667":13,"26697059":[],"267":[],"26710969":5,"26776828":[],"26780278":5,"26799966":26,"268":9,"26803966":[],"26805987":[],"269217029290255":[],"26931499":[],"26939493":26,"26944417":[],"26961519":[],"2697447":[],"26995402":27,"26it":[],"27":[0,1,2,4,6,13],"270":[],"2700575":[],"27068495e":[],"2707158":[],"27092910":6,"27096183":[],"27099835":[],"271":[],"2710765113417533":[],"2710867359084896":[],"2711004934923823":[],"2711099029541577":[],"2714":[],"27151245":13,"27152452":[],"2717818":[],"272":[],"27204759":[],"27221341":[],"27230624e":[],"27252371":[],"273":[],"27305669":[],"273094":[],"27309401":[],"2731899981798276":[],"27335131":[],"27347181":[],"2736":[],"27377363":[],"27424746e":[],"27438488":[],"27463692":[],"27485633":[],"275":[],"2750":9,"27547557":[],"2756303":13,"276":[],"276263":[11,27],"27637358":[],"27650047":[],"27650338":[],"27693602e":[],"277":[],"27700":9,"27700271":[],"27717261":[],"27743488e":[],"2774877574815404":[],"27760":9,"27790702":[],"27793476":[],"277935":[],"278":[],"27826845e":[],"27832584e":[],"27853155":26,"27859357":[],"27880068":[],"279":[],"27911941":26,"27919014":[],"27924636":5,"27971414":[],"27987128":[],"27n_":23,"28":[0,1,2,3,4,6,9,13],"280":[],"28008933":[],"280179":[],"28031381":[],"280573":5,"280647":[11,27],"28081221e":[],"28096517":[],"281":[],"281127658556346":23,"28112766":23,"28134042":[],"281930":[],"28194659":[],"28194794":[],"282":[],"28205578e":27,"28206156":[],"28210895":[],"28212616":26,"2822017":26,"282259":[],"282727":[11,27],"28291282":[],"28294305":[],"283":[],"2830637392":4,"283078":[],"28336218e":6,"28347954e":[],"2837521e":[],"28390":9,"28391978":27,"284":[],"28418209":[],"28433473":[],"28443039":[],"284499":[],"28473779e":[],"28475098":8,"28478815":18,"28490569":[],"285":[],"28535441":[],"28566769":[],"2856881":[],"28570701":[],"28573357":[],"28585116":[],"28595266e":[],"28596284":[],"286":[],"28607817":[],"2861":23,"28621796e":[],"28622606":[],"28624958":[],"28638913":[],"28641189":[],"28662669":[],"287":[],"2870363":[],"2871":9,"2873":9,"2874496":18,"28767964":[],"28795864":[],"288":[],"28818554":[],"288186":[],"2882":23,"28837459":[],"28857501":26,"28858038":[],"2886":23,"289":[],"2890":[0,26],"28908491":[],"28909679e":[],"289105":5,"28910504":5,"2892":23,"28951491799791806":[],"28962017":[],"28962869031035515":[],"28962877060331055":[],"2896287710119233":[],"28it":[],"28x28":[],"29":[2,4,6,7,9],"29009852":[],"2901":[],"29022057":[],"29025302":[],"29030069":[],"29064873e":[],"29069448":23,"29097377":[],"291":[],"29135778":[],"291358":[],"2915":23,"29153991":[],"29167186":5,"29174301":[],"29176118":27,"29199381":[],"292":[],"292202":[],"29220202":[],"29228133":[],"29259268":[],"2927":[],"29275129":[],"29282684":[],"293":[],"2931":26,"293245":[],"29341942":23,"29350903":[],"29374695":[],"29378469":[],"29384004e":[],"294":[],"29401213":[],"29405153":[],"2941718e":[],"29426584":[],"29432269":26,"29454955e":[],"29496954e":[],"295":[],"2953":[3,4],"2954":[3,4],"2955":[3,4],"2956":[3,4],"2957":[3,4],"29588674":[],"29592687":[],"296":[],"29633889":[],"296414":[],"29679459":[],"2968":26,"2970942":[],"29726695":[],"29731502":[],"29732036":[],"29734306":[],"29765192":[],"298":[],"2980":26,"29822833":6,"29866668":[],"298667":[],"29894362":[],"299":[],"2990":26,"29918458":13,"29933720e":[],"2996":[],"299748":27,"2999692169766251":[],"2999692370478538":[],"2999728846145681":[],"2999728858924457":[],"29998782047173667":[],"29998783056606604":[],"29it":[],"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,23],"2_t":13,"2_x":23,"2b":23,"2c8f433990d1":[],"2cm":8,"2d":[1,3,11,12,17,26],"2e":6,"2f":[0,7,9,10,11,12,26,27],"2g":2,"2g_i":2,"2k":3,"2m":6,"2n":[0,2,3,26,27],"2nd":9,"2p":23,"2pm":24,"2pt":4,"2s":4,"2u":21,"2x":[0,3,8,13,26],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,22,23,24],"30":[0,1,4,6,7,9,10,13,16,24,27],"300":[],"3000":[],"30000":[0,26],"30000278325980556":[],"30000279381576256":[],"30010":9,"30012384":[],"3001669239476101":[],"3001669318826541":[],"30020439":26,"30085673":[],"301":[],"30119421":8,"30125775":[],"30129931":[],"30150056":[],"30170017":[],"30177145":[],"302":[],"3020":[],"30237154":[],"3024":[],"30258509":[18,26],"3029":[],"303":6,"3030":[],"303107":[],"30311767":[],"3032":[],"30326262":[],"30335380e":[],"30339081517583943":[],"30361418":[],"30442964":27,"30447937":[],"30466214e":6,"3047648":[],"30478013":[],"30485583":[],"30494363":[],"305":0,"30506642":[],"30567713":[],"30571694e":[],"306":0,"30630294":[],"3064":[],"3065":[],"30666456":[],"30674822e":[],"30677003":[],"306770031113352":[],"30685269":[],"306853":[],"3068687590657415":[],"30690504":[],"307":0,"3072":3,"3073":[],"30739146":[],"307631":[],"30763135":[],"3076923076923077":9,"3077":[],"30774404":[],"30787294":6,"308":0,"3082":[],"309":0,"30902533":18,"30914432":[],"30928349":[],"30940":9,"30971881":[],"30990916":[],"31":[4,6,12,18,23],"310":0,"31022577":[],"310277":[],"31027702":[],"310579":27,"3105791":27,"31072238":[],"31082439":[],"311":0,"31113868e":[],"31145723e":[],"312":[],"31212802":[],"3123314713548606":6,"31244861":[],"312449":[],"31248389":[],"3126":[],"31276579e":6,"31290061e":[],"31290684":[],"313":[],"31318084":5,"313183599076104":[],"3135197":18,"31395784e":[],"3139661":[],"31415359e":[],"314471861842257":[],"31457796":5,"315":6,"31532451":[],"3155":[0,5,6],"31579721":[],"31588043":[],"31588332":[],"31597257":27,"316":[],"31633433":[],"31650694":6,"317":[],"31705377":[],"31714002":[],"31718909":11,"31728952e":[],"317367":11,"3175938":[],"317594":[],"31774469":13,"31780875":[],"318":[],"31803769":[],"31814386":[],"3189":[],"31895514":[],"31896852":8,"319":[],"31921368":[],"31927572":[],"31949465":[],"31960205":18,"31995103":[],"32":[3,4,6,12,13,18,23],"320":[],"3200":1,"320131":11,"32013106":11,"32019835":[],"32023229":[],"32032017":[],"32041353":[],"32078531":[],"321":[],"32108713e":[],"32133765":[],"32141575":[],"32149601703519115":6,"3214960170351912":6,"3215":9,"32185967":[],"322":[],"32220836":[],"32221699":[],"32234998":[],"32244056":[],"32257967":[],"3225819":[],"32265589":[],"3228044":[],"32341247e":[],"3235":[],"32372846":[],"32382849":[],"324":2,"32441343e":[],"3245":2,"32450054":27,"325":[],"3250":[1,6],"32507975":[],"32577534":[],"32584888":[],"326":[],"32615859":[],"326238":27,"32632463":[],"326325":[],"327":[],"32708194":[],"327291":[],"32729105":[],"3273472571412799":[],"32775737e":[],"328":[],"3283771":[],"328458":[],"32845846":[],"32858131":[],"32863661e":[],"329":[],"32941592e":[],"329492":[],"33":[4,9,12,18,24],"330":[],"33015882":[],"33020191":[],"3303366":[],"33066907e":[5,27],"33078483":[],"33079132":[],"33104875":[],"33108943":[],"33113018":[],"33159476":[],"33166055e":5,"331939":27,"33197004e":[],"332":[],"33213799":[],"33283583":26,"33285444":[],"33285905":[],"3329671101137754":[],"333":7,"33333333":13,"33408606":[],"33444711e":[],"33457718e":[],"33486875":[],"335":[],"33525471e":[],"33534416":[],"33537181":[],"335849":[],"336":[],"33600213":[],"3364":[],"33656494":[],"33708747":[],"33746734":[],"33746734412664":[],"33751667":[],"33788596":[],"33793867":[],"338":[],"33800793":[],"33857909e":[],"33860497":[],"33880129":[],"339":[],"33903511":[],"33918941":[],"33959063":18,"33995567":[],"339961":[],"3399612":[],"33it":[],"34":[4,9,18],"340":[],"340071371496255":27,"34010963":[],"34011629":[],"3403":9,"340583":[],"340782":[11,27],"341":[],"34100913":[],"34114547":5,"34133193":[],"34149655":[],"341497":[],"34154132":[],"34158540e":[],"34193915":[],"34243146":23,"34254681":[],"342680":27,"3426926":[],"34294831e":[],"343":[],"3431178":[],"34347894e":[],"3436":[0,26],"34362409":[],"3437":[0,26],"34373214":[],"3439564710454786":[],"344":[],"34412923":27,"34440086":[],"34447052":[],"34459931":[],"34460089":[],"34498001":[],"345":[],"34517495":[],"34569596":5,"346":[],"34606431":[],"34609499":[],"34619711":18,"34636057":[],"34642944":[],"34650316":26,"34685874":[],"346941":[],"34694145":[],"347":[],"34718587":[],"347186":[],"3472":[],"34728094e":[],"348":[],"34814162":[],"34816464e":[],"34836424":26,"348676117830458":[],"349":[],"3493":[],"34943652":18,"34968453":26,"34975242":[],"34977681":[],"34998197":[],"35":[0,4,6,19,24,26],"350":[],"3501046":18,"35058127":[],"35084272":[],"351":[],"35109296":[],"35125829":26,"3512747":[],"351275":[],"35140":9,"35146218":[],"35149796":[],"351498":[],"351636":[11,27],"35182854":5,"35193678":18,"352":[],"35248847":[],"35255737e":[],"35292923":[],"353":[],"3532":[],"35322418":[],"35325013":18,"35329636":[],"3536":[],"354":[],"35401107":[],"35403494":[],"35408251":[],"354083":[],"35412147":[],"35417405e":[],"35434042e":[],"3544313922":6,"3546689":[],"35470445e":[5,27],"3549":[],"355":[],"35533773":6,"35539164e":[],"35564856":[],"35567049":18,"35587778675776993":[],"356":[],"356399":27,"3568919":[],"357":[],"357508":27,"35771826":6,"35795044":[],"35796655":[],"35799174":[],"358":[],"3581341341":4,"35823605":[],"35825829e":[],"35845332":[],"35846425":[],"35858674":[],"359":5,"3591093":[],"3592571":[],"3597516959642966":[],"3597517":[],"35984424":[],"35it":[],"35m":3,"36":[0,1,4,5,6,19,23],"360":1,"3604":[],"36051635":[],"36094261":26,"36097055e":[],"36099915":[],"361":[],"36128659e":[],"3613":9,"361556":27,"3616476":[],"36170438":13,"3619":[],"362":[],"36212275":5,"362123":5,"3621311":5,"363":[],"3632959111950474e":6,"363295916323784e":6,"36348681":[],"364":[],"36400724":26,"36403046":[],"36420967":[],"36434588":[],"3646":[],"36537059":[],"36550376":[],"3655222":5,"366":[],"36654107e":[],"36674564":[],"36681298":[],"367":[2,9],"3676":[],"36789460e":[],"3679":[],"36795972e":[],"368":[],"36802977":[],"36825174":[],"3689":[],"369":[],"369139":[11,27],"36928":[],"36970119e":[],"36it":[],"37":[1,4,6,9,19],"370":[],"3701":[],"37021881":[],"3703":[],"3703468543933255":[],"3705":[],"37054827":[],"3706":[],"370782966":4,"37092452":[],"371":[],"37112277":[],"3713":[],"3714":[],"3716":[],"3717":[],"37187359":[],"372":[],"3722291337559605":[],"37236385":[],"372364":[],"37239927e":27,"3724":[],"3725":[],"37266855":[],"3727":[],"3728":[],"3729492":[],"373":[],"3730":[],"3732":[],"3733":[],"37335014":[],"3734":[],"3735":[],"37351692":18,"3736":[],"37369014":[],"3737":[],"37376184":[],"37388140e":[],"37391132":[],"37396662":6,"374":[],"3740":[],"3741":[],"3743":[],"3744":[],"37443731":23,"3745":[],"3747":[],"37477725":[],"374777250972322":[],"3748":[],"3749":[],"375":[],"3750":[],"3752":[],"3753":[],"37540613":[],"3756":[],"375694":[],"3758":[],"3759":[],"376":[],"3760":[],"37618253e":[],"3762603":18,"3763":[],"3764":[],"3765":[],"376547":[],"3766":[],"37667238":[],"3767":[],"3768":[],"3769":[],"377":[],"3770":[],"3773":[],"377372":27,"37737221":27,"37749489":[],"3775":[],"37757757":26,"3776":[],"3777":[],"3777801602":6,"3778":[],"3779":[],"378":[],"3780":[],"3781":[],"3782":[],"37836163":5,"378362":5,"3784":[],"3785":[],"37853034e":[],"3786":[],"3787":[],"37871763":[],"3788":[],"3789":[],"37895549":[],"3790":[],"37900111":6,"3791":[],"37917253":[],"3792":[],"37938584":[],"3794":[],"3795":[],"3797":[],"3798":[],"3799":[],"38":[1,4,9,19,23],"380":9,"3800":[],"3801":[],"3802":[],"38020451":[],"380205":[],"3803":[],"38035637":[],"3804":[],"38046294":[],"3805":[],"3806":[],"3808":[],"38088413":[],"3809":[],"3810":[],"3811":[],"38115471e":[],"3812":4,"3813":[],"38135654":[],"38135733e":6,"3814":[],"3815":[],"3816":[],"38160211":[],"38165546":[],"3817475779":6,"3818":[],"3819":[],"382":[],"3820":[],"38201155":[],"3821":[],"382187":[],"3822":[],"38220141":[],"3823":[],"3824":[],"3825":[],"3825029":[],"38259375":[],"3826":[],"3827":[],"3828":[],"3829":[],"38298328e":[],"383":[],"3830":[],"3831":[],"38319502e":[],"3832":[],"383315":4,"3834":4,"3835":[],"3836":[],"3837":[],"3838":[],"38380352":[],"38382691":[],"3838917029":[],"3839":[],"384":[],"3840":4,"3841":[],"3842":[],"3842967":[],"3843":[],"3844":[],"3845":[],"3846":[],"38461538461538464":9,"38461539":[],"38465596":[],"3847":[],"38478181":[],"384782":[],"3848":4,"38488879":[],"3849":[],"38493367":[],"385":[],"3850":[],"3851":4,"38511237e":[],"38511413":[],"3852":4,"3853":[],"38533185":6,"3854":[],"38540656":[],"3855":[],"3856":4,"3857":[],"3858":[],"3859":[],"386":9,"3860":[],"3861":[],"3862":[],"38629436":[18,26],"3863":4,"3864":4,"3865":[],"3866":[],"3868":[],"38688646e":[],"3869":[],"387":[],"3870":[],"3871":[],"3872":[],"3873":4,"38743286":[],"3875":[],"3876":4,"38764522e":[],"3877":4,"3878":[],"38782352":[],"38787447":[],"3879":[],"3880":4,"3881":[],"3882":[],"3883":[],"38831624":[],"3884":[],"388451":[],"38845241":[],"3885":[],"3886":[],"3887":[],"38875182":[],"3888":4,"3889":[],"389":[],"38916861e":6,"38923192e":[],"3893":4,"3894":[],"3895":4,"3896":[],"38962192e":6,"3897":[],"38970078":26,"3898":[],"3899":[],"39":[0,1,4,9,20,24,26],"390":[],"3900":[],"3901":[],"3902":4,"39026883":[],"3903":[],"3904":4,"3906":[],"3907":[],"3907408":[],"39078751e":[],"3908":[],"391":[],"3910":[],"3911":[],"3912":4,"3913":[],"3914":[],"39148625":[],"3915":4,"3918":[],"3919":[],"39197698":27,"391977":27,"392":[],"3920":[],"39200159":[],"3921":[],"39214397":27,"392144":27,"3922":[],"39229856":[],"3923":[],"3924":[],"392564":[],"39256409":[],"3928":[],"39287528":[],"3929":4,"393":[],"39300201":[],"393030":[],"3930301":[],"39308683e":[],"3931":[],"39313789e":[],"3932":4,"3933":[],"3935":[],"3936":[],"3937":4,"3938":[],"3939":4,"394":9,"3940":[],"3942":4,"3944":4,"39452621":27,"39457095":[],"3946":[],"3948":4,"39483726":[],"39494529":23,"395":[],"3951":[],"3953":[],"3954":4,"39541528":[],"3957":[],"39572825":[],"39579407":5,"396":[],"3960":4,"39609089":[],"3961":4,"39612983":[],"3962":[],"39623570e":[],"3964":[],"39644178":[],"3966":[],"3967":[],"3968":4,"397":[],"3970":4,"39706038":5,"3971":4,"3972":[],"3973":[],"39730396":19,"3975":4,"3976":[],"397700":[11,27],"3978":4,"39789527":[18,26],"3979":[],"398":[],"3980":[],"3980313467":6,"3981":[],"39822715":[],"39837199":[],"3984":4,"39856058e":[],"39863686":26,"3987":4,"39890447":[],"39895173e":[],"399":[],"3990":[],"39917327":[],"3992":[],"39931051e":27,"3994":[],"3995":4,"3996":[],"39965905e":[],"3998":[],"399836":27,"3999":[],"39it":6,"3d":[2,3,4,6,13,19],"3f":[1,3,9],"3n":18,"3s":[],"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,13,19,26],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,26],"40":[0,1,4,6,9,19,20,24,26],"400":4,"4000":[9,26],"40009482":[],"4001":[],"40043644":[],"4007":4,"40075395":[],"4008":4,"4009":[],"401":[],"4010":[],"4011":[],"40111899":[],"401119":[],"4013":[],"4014":[],"40167092":[],"4018":4,"40182469":[],"401842":[11,27],"402":[],"40216748":[],"4024":[],"4025":[],"4027":[],"40293251":[],"4032":4,"4033":[],"40359681":26,"4036":4,"40362053":[],"4037":[],"40389562":[],"404":[],"404130":[],"40413036":[],"4043":[],"404470":5,"40447029":5,"4048":[],"405":9,"4050":[25,26],"40500157":[],"4051":4,"40512793":[],"40513177e":[],"4052":4,"4053":4,"4054":[],"4055":[],"4056":[],"405890":[11,27],"406":[],"40620066":27,"406201":27,"40629059":[],"4063":[],"40634991":[],"40644745":[],"4066":[],"40660618e":[],"40666305":[],"4068":[],"407":9,"40714201":18,"40763529":26,"4078":[],"408":9,"4082":[4,6],"40837262":[],"40837954":[],"4085":[],"4086":[],"4087":9,"4087793":5,"4088":[],"40881429":18,"40892146":[],"4090":[],"40920261e":[],"40927184e":6,"4095":[],"4096":[],"4099":4,"40contain":20,"40it":[],"41":[1,2,4,9,18,20],"410":[],"4100":[],"41021561":[],"41042542":18,"4106":[],"4107":9,"41097603":[],"411":[],"4111":4,"41125816":18,"411730":[],"41173033":[],"412":[],"41219619":[],"41226929e":[],"41235715":5,"41246325":[],"4128":[],"41291861":[],"413":[],"4130":[],"4134":4,"4137":[],"41371745":[],"414":[],"4141":[],"41433969":5,"41441328e":[],"4146":[],"41471556e":[],"4148":4,"415":[],"4150":21,"415066":[],"41506637":[],"41511965e":1,"415201":[],"4155":[2,15],"41594943":[],"416":[],"41600503":26,"4162":[],"4162706317":6,"41639971":26,"41644629e":[],"4166666666666667":9,"41671085":[],"417":[],"41708096e":[],"41716708":[],"41739393":[],"4177":[],"41771755":[],"41772265":[],"417741":11,"41774143":11,"41790059":[],"418":[],"4181":[],"41842164":[],"418506":[11,27],"4187996":[],"41882037e":6,"41891092":[],"41894238":[],"419":[],"4192":[],"41928689":[],"41936371":18,"4199":[],"42":[1,4,8,9,10,18,23],"420":[],"4203":[],"420442688206847":[],"4208":[],"42109456":[],"421120085426022":[],"42138688e":[],"42143986":[],"42172457":[],"42198678":[],"421987":[],"422":[],"4220":[],"42203045":[],"4221":[],"4222":[],"42239354":[],"422658":[],"42265837":[],"423":[],"4230769230769231":9,"42323635":[],"4234":[],"4236":[],"424":[],"4241":[],"42441033":5,"42450":9,"42457498":[],"424575":[],"42484290e":[],"42484459":[],"424863":[],"42486342":[],"42487977":[],"425":[],"4253":[],"42535003":[],"425564":[],"42556446":[],"4256":[],"42578415":[],"4258049":[],"42584543":[],"426":[6,7,9],"42633236e":[],"42642980e":[],"4266":[],"427":[],"42738539":26,"4277":[],"42777999":[],"428":[],"42800148":[],"4281152":[],"428690538456245":[],"4287":[],"428741":[],"42874148":[],"42876571":[],"429":[],"429345":[],"42934502":[],"42967903e":[],"42it":[],"43":[0,4,7,9,18,21],"430":[],"43043913":[],"43054282":5,"4310":26,"4314":[],"4316":[],"432":[],"432019":5,"43201921":5,"43226747e":[],"43233857":[],"433":[],"43330971e":6,"43334205":[],"4336":[],"4338":[],"43392925":[],"434":[],"43425860e":[],"43466245":[],"4349":[],"43490863":[],"43496417":[],"435163":27,"4353":[],"43559429":[],"43579948e":6,"436":[],"43608740e":[],"43639284e":27,"436462435":4,"43647835":[],"436501":[],"43650129":[],"43650214":26,"43656654":23,"437":[],"43713337":[],"4372":[],"4375":[],"43766686":11,"438":[],"43801947":[],"438060758":6,"43809274e":[],"438136":27,"439":[],"43902948":[],"439230":6,"4394":[],"43941514":[],"43951204":[],"43989497":[],"439m":4,"43it":[],"43m":4,"44":[0,4,18],"440":[],"44020145e":[],"44079937":[],"44082882":[],"44089210e":[5,27],"4409806":23,"440m":4,"441":[],"44116407":[],"441182":[],"44118245":[],"441264":[],"441m":[],"442":[],"44210664":[],"4426":[],"442600":[11,27],"44298022":[],"442m":[],"443":[],"443217":27,"44347438":[],"443m":[],"444":9,"44402322":[],"44407741e":[],"44418822":[],"44437409":[],"44440345":[],"444m":4,"44507049":[],"44520102":[],"44595818":[],"445m":4,"446":[],"446033":[],"44624525e":27,"44632008":[],"44637348e":[],"44642273":[],"446453":[],"44657526e":[],"4466":[],"446m":4,"4472":[],"44729805":[],"44732200e":[],"447659635275407":[],"44765964":[],"44781662":[],"447817":[],"447m":4,"448":[],"44842116":[],"44886896":[],"448m":4,"449":[],"449001126081919":[],"44900113":[],"44921888":[],"44957069":[],"44967228":[],"44970586e":1,"449m":4,"44it":[],"45":[4,9,24,26],"450":9,"45000312":[],"45014":[],"45017176":[],"450257":[11,27],"4504":9,"45047066":[],"45048537":26,"45062284":[],"45065211":[],"45073476e":[],"450m":[],"451":[],"4512":[],"45133278":[],"45134965":[],"451m":[],"45207509":[],"45227801":[],"45253585":[],"452553":[],"45255977":[],"45281756":[],"45290234":[],"452m":[],"453":[],"45308692":[],"45380691e":[],"45399416":[],"453m":[],"454":[],"45405253e":[],"454241":11,"45424136":11,"454m":[],"455":[],"45502684":[],"455173":[],"4555094":[],"455592":[],"4556":[],"4557763":11,"455947":27,"455m":[],"456":9,"4560786541572335":[],"45610021":[],"45642521":[],"45668633":[],"456m":[],"457":[2,4],"457m":[],"458":[],"458027":27,"458078":[11,27],"45808919":[],"45811552":[],"458740":[],"45878472":[],"4588":[],"45884458":18,"458m":[],"459":[],"45915671e":27,"45922756e":[],"45960079":5,"45976616e":[],"459m":[],"46":[4,9,24,26],"460":[],"46000649":[],"4600624385659884":[],"4601":9,"46022436e":[],"46026a8f5d2c":[],"46045199":23,"4605":[],"460m":[],"461":[],"46117193":[],"46132345":[],"46138883":18,"46139936":26,"46153846153846156":9,"46156624":[],"461m":[],"462":7,"4627795":[],"46285399":[],"46294168":18,"462m":[],"463":[],"46306318e":[],"46313714":[],"46383925e":6,"46383926e":6,"463861":[],"463m":[],"464":[],"4642383":[],"464m":[],"46580623":[],"465m":[],"466":[],"46609435":[],"46660343":18,"4667":[],"466m":[],"467":[],"467427755242117":[],"46753261e":[],"46754435":[],"4676059":27,"467606":27,"46766277":[],"467663":[],"467818":[],"46781836":[],"467m":[],"468":[],"46873567":[],"46895658":[],"468m":[],"469":[],"46904874e":[],"4694":[],"46957262e":[],"46984697e":6,"469m":[],"46it":[],"47":[4,9,24,26],"470":[],"47013955":26,"47042744":5,"470683":11,"47068328":11,"470714":27,"47075725":6,"470m":[],"47116132":[],"47116868e":6,"4712168":[],"47125748":5,"47128426":[],"47128712":[],"47132891":5,"4714":[],"4716412":26,"47176716":[],"47176783":[],"47179152":[],"471874":[],"47187428":[],"471m":[],"472":[],"47202442":[],"4722":[],"472445":[],"47244548":[],"4727":[],"47297104":[],"472m":[],"473":[],"47313680":[],"47340594":[],"47364408":[],"47391428":[],"473m":[],"47430124e":[],"47447472":[],"474m":[],"475":[],"475405":[],"47540513":[],"475582":[],"47558206":[],"4757488":[],"475m":[],"476":[],"47605918e":[],"47610036":6,"476m":[],"477":[],"47700752":[],"47701204":[],"47704686":[],"4772":[],"47748887":26,"47781605":[],"477m":[],"47815203":11,"47831084":[],"47868192":[],"478m":[],"479":[],"479465113":4,"47950427":[],"47959046":23,"47991139":[],"479m":[],"47it":[],"48":[4,9],"480":[],"48096529707360347":[],"4809676":[],"480m":[],"481":[],"4810":[],"48134747":[],"481401":[],"48140137":[],"48145226":[],"481979":6,"481m":[],"482":[],"48209629":[],"48240312e":[],"48243352e":[],"48257387":[24,26],"48263731":[],"48289037":[],"482m":[],"483":[],"4831993814276723":11,"483257001":13,"48333258":[],"48336413":[],"48356153e":[],"483m":[],"484":[],"48417033":[],"48418018":[],"48423285":[],"48444949":[],"48461009":[],"48464841":[],"48476997":11,"484m":[],"48534921":[],"48577692":[],"48598711":[],"485m":4,"486":[],"48613114":[],"48629506":[],"48668089":18,"48681218":26,"486852":[],"48685204":[],"48699577":[],"486m":[],"4871":[],"4871984":[],"48766753":23,"487m":[],"488":[],"4881344092288954e":[],"48815255e":[],"488m":[],"48935121":[],"48938433":26,"489502":[],"48950243":[],"48994188":5,"489m":[],"49":[4,5,6,9,11,19,27],"490":[],"49057373":[],"49065324e":[],"49078463":[],"490m":[],"491":[],"49152":3,"49186362e":[],"491m":[],"49216685":[],"49230548":26,"492m":[],"493":[],"49313815":[],"49369173":[],"493m":[],"494":[],"4940954":[0,26],"49423098":[],"49486583":[],"494m":[],"495":[],"49529781":[],"49545139":[],"49555885e":[],"49556373e":[],"49580918":[],"4959161509357395e":6,"495916150936645e":6,"495m":[],"49616116":[],"49648665":[],"497":[3,4],"4974606_hedonic_housing_prices_and_the_demand_for_clean_air":[],"4974810657432664":[],"497m":[],"498":[3,4],"49825509":23,"4983":[],"49865980e":[],"49873827":[],"498m":[],"499":[3,4],"4990":23,"49901588":[],"4992":23,"4993133":[],"49940538":[],"4997":23,"499m":[],"49it":6,"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[24,26],"4s":[],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,23,26,27],"50":[1,2,3,4,6,7,8,9,10,13,26,27],"500":[1,3,4,6,9,10,13],"5000":[],"50000000e":[],"50000455":5,"50000553":5,"50000718":5,"50000855":5,"50000969":5,"50001063":5,"50001142":5,"50001207":5,"50001261":5,"50001306":5,"50001343":5,"50001374":5,"500014":5,"50001414":5,"50001422":5,"50001439":5,"50001454":5,"50001466":5,"50001476":5,"50001485":5,"50001492":5,"50001498":5,"50001502":5,"50001506":5,"5000151":5,"50001512":5,"50001515":5,"50001517":5,"50001518":5,"50001519":5,"50001521":5,"50001522":5,"50001523":5,"50001524":5,"50001525":5,"50046106":[],"50079895":[],"50083166":[],"500m":[],"501":[3,4],"5014":[],"50153896":18,"50172141":[],"5018":23,"50184628e":[],"501m":[],"502":[3,4],"50227564e":6,"50274255":[],"502m":[],"503":[3,4],"50321091":5,"50359169e":[],"504":[3,4],"5040323":26,"50427787":[],"50462474":[],"5046808":[],"504m":[],"505":[3,4],"50519365":[],"50562981":[],"505m":[],"506":[0,3,4],"50626752":[],"50653545":[],"506553":27,"50655336":27,"50661281":[],"50676615":23,"50691065":[],"50697511":[],"5069860830630872":[],"5069860830630875":[],"507":[3,4],"50721349":[],"50764587":23,"5078":[],"507d50":[9,10],"507m":4,"508":[3,4],"50837888e":[],"50846111e":6,"50846112e":6,"508m":[],"509":[],"5091":[],"50925722e":[],"5092982":[],"50it":[],"50j":13,"50x10":1,"51":[4,10],"510":1,"5105983":[],"511":[3,4],"511888":5,"51191552":6,"511m":[],"512":[3,4],"512204707520711":[],"51220471":[],"51249881":[],"512499":[],"51267283e":[],"512m":[],"51349834":[],"51374050":[],"514":[],"514219":27,"5148389267750961":[],"515":[],"51549827":[],"515m":[],"516":[],"51619543":26,"51635486":[],"51647799e":[],"516m":[],"517":[],"51727541":[],"51729923e":[],"51741855":[],"517582":[],"51758232":[],"517615":[],"51761523":[],"5177783846":4,"51821339":[],"51845286":[],"5186":[],"518895":[],"518923":[],"51892347":[],"519":[],"519m":[],"52":[3,4],"52006777e":[],"52015514":[],"52067151":[],"52078202":[],"52180619":[],"52180757":18,"521m":[],"522":[],"52204004":[],"52208436":13,"52209178":[],"5222222222222223":1,"5222400324755649":[],"522240032475565":[],"5222400329453616":[],"5222413718621189":[],"522836":[],"522m":[],"523":[],"52305374":[],"52362157e":27,"52377342":11,"524":[],"5240":[],"52400486e":[],"52470105":[],"52482437":[],"525010":[],"52501047":[],"525054":[],"52512898":[],"52518625":[],"52552042":23,"52565509e":[],"525739":[],"52573941":[],"526":[],"52626194e":[],"526744":[11,27],"52687741":[],"527":[],"52725477e":[],"5274":[],"5276":[],"52775466":[],"52795454":[],"527m":[],"528":[],"52823177":[],"52856208":[],"52874252":5,"529":[],"52942586":[],"52944573":[],"529446":[],"52950417":[],"52960552":18,"52977457":[],"5297947920715131":[],"52988562":[],"529886":[],"53":[3,4,9],"5302517":[],"5303329":11,"53049637":[],"5305555555555556":1,"531":[],"531280":27,"53149684e":[],"532":[],"5320148":[],"53229196":[],"53250091":[],"53278871":[],"532789":[],"53294653":[],"533":[],"53367133":[],"53371547e":[],"53375204":18,"53380807":26,"534":[],"5340022":[],"534362":[],"53452255":[],"53459992":[],"5349":[],"535":[],"53506617":[],"53515878":[],"5353":[],"53542722":[],"53558374":[],"53596681e":[],"536":[],"5361201":26,"53632379":[],"53632918":[],"5364857":[],"53683592e":[],"536915581616642":[],"5369485":[],"537":[],"53700083":[],"53703498":6,"53703671":23,"53738247":[],"53755010e":[],"5378811":11,"538":[],"53811172e":[],"5384615384615384":9,"53859920e":[],"53895778":[],"539":[],"539261":[11,27],"5393":[],"53946725":[],"53it":6,"54":[3,4,6,9,23],"540":9,"54039921":5,"54041041e":5,"54050804e":[],"54071847":[],"54129367":[],"541605":27,"54190070e":[],"542":[],"54205622":[],"54213329":[],"54220589":[],"54285633":[],"54342461":[],"5435":[],"54378734e":[],"54379087e":[],"543939":27,"54393936":27,"54398576":26,"544":[],"5442":[],"544439":27,"5449":[],"545":[],"545099":[],"54509921":[],"54514209":[],"5452708224046345":[],"5454":[],"54601264e":[],"54608238":18,"54611024":[],"54617756":[],"54622374":[],"54637219":[],"54640368":[],"54644868":[],"54672588":[],"547":[],"5470":[],"5477":[],"54852248":[],"549":[],"54969188":[],"54993524":[],"55":[1,3,4,9],"55011282":18,"55043852e":[],"55063291":[],"55086461":[],"55152034":[],"552":[],"552042":[],"55206229":[],"55295871":[],"55315304":[],"55328795e":[],"55331574":[],"55342366":18,"554":[],"55438359e":[],"555":[],"55511609":[],"55527296":[],"5555555555555556":1,"55555773":[],"555m":[],"556":[],"55628123":26,"55649207":[],"55684718":[],"55685628":[],"556m":[],"557":[],"557795":[11,27],"55790428":[],"558":[],"55812916":[],"55847112":[],"55854694":11,"55865092":[],"55867377":[],"55868255":[],"559":[],"55906894":[],"5594":6,"55940301":[],"55955126":[],"55972302e":[],"55it":[],"56":[1,3,4,9],"560":[],"5601973572808581":[],"56033697":5,"56069111":18,"5608253":[],"56083543":23,"561":[],"56135704":[],"56151035":[],"5615739502773949":[],"5616":[],"56171141":[],"56198284":5,"561m":[],"56217428":[],"56240703e":[],"56249706":[],"56288447":[],"56288861":[],"562888614232874":[],"56291744":[],"563":[],"563167":[],"56364308":[],"56366546":[],"56397327":[],"56399029e":[],"56399576":26,"563m":[],"564":9,"56424167":[],"564242":[],"56424378":23,"56425249":[],"564374":[11,27],"56465688":[],"56475572":[],"56477354":[],"56486674":13,"565":9,"56536":[0,26],"56548318":[],"56570797e":[],"56589683":[],"566":9,"56603693":18,"56636537":[],"56636616e":6,"56640341":18,"56676694":[],"56678624":[],"56686787":[],"566m":[],"567":9,"56733919":[],"56740132":[],"56749245":[],"56756375":[],"568":9,"5680":[],"56822376":[],"56830193":[],"56841764":18,"56846508":23,"568587":[],"56858701":[],"56878976e":[],"56899695":[],"569":[1,9],"56912044e":6,"56933711":18,"56939714":5,"56965674":[],"57":[0,3,4,8,9,24,26],"570":9,"5703663":[],"571":5,"571105947979344e":6,"571105947979394e":6,"5712104":[],"57146034":[],"57201944e":6,"572069":[],"57219055":[],"5721905504656455":[],"57223110e":[],"57285536":[],"573":[],"573029":[],"57302926":[],"573091":5,"57309147":5,"57316402e":[],"57329374":[],"5733843":[],"5735888":[],"574":[],"57406865":[],"574465":[11,27],"575":[],"57537966e":[],"57572321":[],"576":[],"5762":3,"57670824":[],"57677544":[],"5769230769230769":9,"577":[],"577421319924605":[],"57794243":18,"578":[],"57811941":[],"5786304":[],"57875488e":[],"579":[],"57935482":[],"5793788":[],"579437":[],"57943748":[],"57952471e":[],"58":[4,9,10,24,26],"580":[],"58076367":[],"5808118":[],"58083888":18,"58098325":[],"5810785":[],"58182803":[],"58193124":[],"58196606":[],"581m":[],"582":[],"58207928":[],"58268575":[],"5828247":[],"5829913":[],"5833333333333334":9,"583595":27,"58368727":[],"58397472":[],"584":[],"58427764":[],"58465096":[],"58486384":[],"58487995":18,"58492636e":27,"585":[],"58519863":[],"58581665e":[],"58621153":[],"58639705":[],"58662003":[],"587":[],"58739348":[],"58742004e":[],"58793527":[],"58810494":[],"58818643":[],"58841019e":[],"5888888888888889":1,"589":[],"58948138":[],"58948347":[],"589971818845805":[],"58it":[],"58m":[],"59":[4,9],"590":[],"59004971":[],"59033885":18,"590609":[],"59060904":[],"5909":[],"59101492e":[],"591317992":4,"5914397":[],"59187177":[],"591872":[],"592":[],"59206948":[],"59222238":[],"592658":[],"59265811":[],"593":[],"59327016":[],"594":[],"59412285":[],"594141":[],"5944444444444444":1,"59446603":[],"59511582":[],"59545081":[],"59558002":[],"59589728e":[],"595934":5,"59593425":5,"596":[],"59602968":[],"59640396":[],"59642735":[],"596m":[],"59703606":[],"5974862":[],"598":[],"59816099":[],"59883217":[],"59895188":[],"599":[],"59905073":[],"59916814e":[],"59922967":[],"5993":[],"59939312":[],"59987612":[],"59it":6,"59m":[],"5cm":[21,23],"5f":8,"5m":[],"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,24,26,27],"60":[1,3,4,6,9],"600":[],"6000":[],"60000":4,"6003":[],"60090208":[],"601":[],"60108393":[],"6019067271":4,"60293962":5,"603":[],"60307141":[],"60356071":11,"603561":11,"603636":[],"6037092":[],"603765":5,"60376519":5,"60381656e":[],"60383004":[],"60398689":[],"604":[],"60407268":[],"60420593":5,"60493501":[],"605":[],"60543038":27,"606":[],"60673226":11,"6067329321734374":[],"60675691":[],"606760":5,"607":[],"6071713":[],"60742555e":[],"60792149":[],"608":[],"60815105":6,"60846694":[],"608467":[],"60863613e":[],"6088":[],"60883945":[],"6088727":[],"60893494":18,"609":[],"60943791":[18,26],"60it":[],"61":7,"610":[],"61043964e":[],"61050884e":[],"611":[],"6111111111111112":1,"61137175":11,"61197218":[],"612":[],"61213079":11,"612131":11,"61219726":[],"61238907":[],"61246573e":[],"61253537":[],"612939":27,"613":[],"6130353":[],"61336683e":[],"613579":27,"61394448":[],"614":[],"614808":[11,27],"61480907":[],"615":[],"61504341":[],"61532006":[],"6153846153846154":9,"6155":[],"61585143":[],"616":[],"61631038":[],"61653285e":[],"61669885e":[],"61695829":18,"617":[],"61702282":6,"61775176":[],"61795354":23,"617961":[],"61796102":[],"618":[],"61861937":23,"618982":27,"619":[],"61939429":[],"61949985e":[],"61955303":[],"61971639e":[],"61992828e":[],"61it":6,"61m":[],"62":[3,4],"620":[],"6200":26,"6201":26,"6202":26,"62025406":[],"6203":26,"62034461e":[],"62038116e":[],"6204":26,"621102":[],"6214":[],"62146709":26,"62199022":[],"622":[],"623":[],"62373464":11,"62397973e":[],"624":[],"62412322":[],"62460522":[],"62464344":[],"625":7,"62518501":[],"62554614":[],"6258":[],"6259":[],"62592637":[],"62606121":[],"6262":4,"62633359":[],"62642303":[],"6266335":18,"626635268":6,"627":[],"627153":3,"62765028":[],"62841921":[],"62862896":[],"6288":[],"6289054":[],"62894215":5,"629":[],"629100":[],"62910047":[],"62919818":[],"6297":[],"62it":[],"62m":[],"63":[0,1,3,4,6,7,9],"630":[],"6300745149331701":[],"63025821e":6,"63081005":[],"63130027":26,"63162342":27,"63180447":[],"632":[],"63212587":[],"63227278":[],"63249532e":6,"63277911e":[],"63281889":[],"633":[],"63304358":11,"633949":[],"634":[],"63401971":[],"634020":[],"634715":[],"63471545":[],"63498144":5,"63504283":[],"6353716266230895":[],"63537163":[],"63565881":[],"63567272":[],"6357":[],"636":[],"63613568":5,"636136":5,"63659131":[],"63677721":[],"63685221":[],"637":[],"637129335071195":[],"63727258e":[],"63790586e":[],"638":[],"63837812":[],"63843494e":[],"63849228e":[],"63860117":18,"63870745":[],"63875295":[],"639":[],"63957747":[],"6398684":[],"63m":[],"64":[1,3,4,7,13,18,26],"64012627":5,"64018793":[],"64056395":[],"64056731":[],"64064106":[],"64093905e":[],"641":[],"64101039":[],"6411":[],"64110154":[],"64111239":[],"64147722":[],"64158883e":[],"64192269":[],"642":[],"64228618e":[],"64257697e":[],"64291044e":[],"64292493":[],"64299732":[],"643":[],"64316192":[],"64316482":[],"64342603":[],"64347512":[],"64365518e":[],"64378812":18,"64391062":[],"643m":[],"64432571":[],"64472123":[],"644829":[],"64482901":[],"6448861":[],"645":[],"64502836":[],"64527549":[],"64530585":[],"64550753":[],"64594566":[],"645946":[],"646":[],"64624281":18,"646283":[11,27],"64695862":[],"647":6,"64704843":26,"64733822":[],"64742912e":6,"647473":[11,27],"648":[],"648382":[],"64846973e":[],"64874236":[],"64895758":23,"649":[],"649382":[11,27],"64969451":[],"649695":[],"64m":[],"64x50":1,"65":[1,3,4,7,8,9],"650":[],"65015024":[],"65036493":[],"65062476":[],"6513444":[],"65196615":[],"652":[],"652187":[],"65218729":[],"6522099":[],"65244075":[],"6527":[],"65313891e":[],"65318467":[],"65322635":[],"65339992":[],"6536392":27,"654":[],"65408703e":[],"65409368":[],"65442354":27,"654424":27,"65470462":23,"654m":[],"655":[],"6556":[],"65565751":[],"65571174e":27,"65599456":27,"6559956":[],"65600":[],"6561627":23,"65626992":[],"65628888":[],"65652778":[],"65673455":[],"6568551":[],"657":[],"65704027":[],"657041":[],"65715086":[],"65720414":[],"65728698e":[],"65743689":27,"65766777":[],"65773892":26,"658":[],"65805069":[],"65822169":[],"65825344":[],"65833132":27,"65885453":5,"65891389":27,"658914":27,"65913552":[],"65925306":[],"6599":[],"65it":6,"65m":[],"66":[3,4],"660":[],"66013062":[],"66036618e":[],"660470":[],"66047048":[],"66051179":[],"66064822":27,"66080313":27,"6608358":[],"6608592":[],"661":[],"66174067e":[],"66181587e":[],"662":[],"66204648":6,"66219404":6,"66289131":[],"66289428":[],"6628996975186953":[],"66294408":27,"66323494":[],"6638":9,"664":[],"664586":[],"66489687":[],"66490332e":[],"665":[],"66510547":[],"6652177":27,"66545355":[],"66560":9,"66562658e":[],"665m":[],"66608227":[],"6663":[],"66634905":26,"666597":[],"66667985":[],"66675932":18,"666897":[],"66689729":[],"667":9,"66722647e":[],"667239":[],"66725024":[],"66798429":[],"668":[],"668172":27,"66855692":[],"66878535":[],"669":[],"6691852":[],"66951925":[],"66959644":[],"66979282":[],"66it":6,"66m":[],"67":9,"670":[],"67035174":[],"67047975e":6,"67083919":[],"671":[],"67109613":[],"6714298027296224":[],"67189384":[],"67193435":[],"67199316":[],"671m":[],"672":[],"67264685":[],"672721":27,"6727393":[],"67314874e":5,"67347822":[],"674":[],"67432237e":[],"67541155":[],"67554897":[],"676":[],"6764":[],"67640036":[],"67671601":[],"677":[],"677235":[],"67723533":[],"678":[],"6780674":[],"6781":[],"67869899e":[],"6788":[],"67890723":[],"6795":[],"67957316":26,"67it":6,"67m":[],"68":[],"680":[],"68029581":[],"68037392":[],"680374":[],"681":[],"68129773":26,"68184997":[],"6819":[],"68192193":5,"682":[],"68250601":[],"68259989":[],"68284332":[],"68286725":27,"683":[],"68303739":18,"68324974e":[],"6835":[],"68351374e":[],"68375286":23,"68419351":[],"684194":[],"6848187":[],"6849":[],"685":[],"68534263e":6,"68542204":5,"68548206":[],"685643":[],"68564345":[],"68581655":[],"68592431":[],"68596176":[],"685962":[],"68599651":[],"6860597312101988":[],"68632877":18,"68655761":[],"68671762":23,"68685905e":[],"6869":9,"6869858":[],"687":[],"68711054":[],"68736603":[],"68759903e":[],"687m":[],"688":[],"68809785":[],"68818255e":[],"68871199":[],"6887363571":4,"6890":[],"68929213e":6,"689345":[],"689519":[11,27],"68971917":[],"68992377":[],"68m":[],"69":[7,9,23],"690":9,"69009002":[],"69018454":[],"69029803e":[],"690617":27,"69069n_":23,"690710":[],"69071035":[],"691":[],"69111133e":[],"69127233":[],"69161166e":[],"69167569":[],"692":[],"692268":[],"69226802":[],"69230769":[],"6923076923076923":9,"69232893e":[],"69233822":[],"69236842":26,"69273094":[],"69275323":[],"692m":[],"693":[],"69303559":[],"69314603":[],"69355844":[],"694":[],"6945612":[],"69481287":[],"69484813e":5,"69488259":11,"694883":11,"69492254":[],"695":[],"69504801":6,"69519297":[],"69524041":[],"69542733":[],"69564736":26,"69582036":[],"69585594":[],"696":[],"69609556":26,"69629255":[],"69634577e":6,"69666941":[],"69686293":26,"69695259":5,"697":[],"69714468":[],"697584":[],"69758412":[],"69773572":18,"6980":[],"69802962":[],"69818111":[],"69827131":[],"69873514":[],"69887085":[],"699":[],"69908626":6,"69948916":18,"69966724":[],"6999536":11,"69997503":[],"69it":[],"69m":[],"6n_":23,"6pm":26,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,15,18,19,21,22,23,25,26,27],"70":[1,6,7,9],"700":[],"7000":[],"70037324e":27,"7005538702846336":[],"701":[],"70115106":[],"701370":5,"70153836":26,"702":[],"70221196e":[],"70224083":[],"7023746599300384":9,"70249832":[],"70252786":[],"7025846":[],"70262543":[],"703":[],"7031743":[],"7031999826431274":[],"7032":[],"70328587e":[],"7033":[],"70344416":[],"70367282":18,"704":[],"70408916":[],"70477499":23,"7047854":[],"7049":[],"705":[],"70506522":[],"70573539":[],"70594499":[],"706":[],"70653767":4,"706833":[],"7069":[],"707":[],"70710678":[5,27],"7073":[],"7078":[],"70792235":[],"70796162":[],"708":[],"7082333":[],"70832814":5,"708589":[],"7086067479626619":27,"7089":3,"70899024":[],"709":[],"70913648":23,"70917314":[],"7094664":[],"70967214":[],"709698":[],"70it":[],"71":1,"710":[],"7100524":[],"71038664":[],"71038982e":[],"710746":[],"71082182":11,"710822":11,"711":[],"71137935":[],"71142161":27,"711422":27,"7119":9,"71193859":[],"71196799e":[],"712":[],"712018":[11,27],"71213744":[],"71269506e":[],"71285447":[],"713":[],"713163":[],"7135487":[],"71365128":[],"71369789":[],"71375273e":[],"714":[],"71424969":[],"71437567912473":[],"71437568":[],"71467081":[],"71504681":[],"715536":[],"71553646":[],"71615146":[],"71640333":[],"71647328":[],"71654553":[],"717":[],"71727268":[],"717273":[],"71737253":27,"71761101":27,"718":[],"718165":5,"71868557":[],"71875845e":[],"71977472":[],"71979573e":[],"72":[],"720":[],"7203":[],"7207467":[],"721":[],"7215423":[],"72174172":11,"722":[],"72228205":[],"72264336":[],"72271878e":6,"72277345":18,"7228270501360416":[],"723":[],"72328506":[],"72359843":18,"7236674":5,"724":3,"72452914":[],"725":[],"72546953":[],"72598009":[],"72651548":[],"727":[],"727278":26,"72742343e":[],"72782592":[],"72795751":26,"728":[],"72850577":26,"72859758":5,"7296587":[],"72981762":8,"73":[6,9],"730":[],"73000497":[],"730005":[],"731000":27,"7312":3,"731344":18,"731441119315968":[],"7317759":[],"732":[],"73231305":[],"73293228266057":[],"73293298":[],"7330932":[],"733096":27,"73333333":[],"73359971":23,"73379189":[],"73391309":5,"734":[],"734107":[],"73410729":[],"73441814":[],"73448544":[],"73456649":[],"73482109":[],"73492514":[],"735":[],"7354157":[],"73582138":18,"736":[],"737":[],"73806921":[],"73875685":11,"7392":[],"74":6,"740":9,"74042291":[],"7407":[],"74081822":8,"740m":[],"741":[],"741391":[],"7413913":[],"74147751":[],"741m":[],"742":[],"74233133":[],"74280244":[],"743189104728408":[],"74384949":27,"74391438":[],"744":[],"74401372":[],"74430995":[],"74437617e":[],"74462857":[],"745":[],"7451077":[],"74529434":23,"74577867":[],"74587018":[],"746":[],"74607851":27,"74631004":[],"747":[],"74724767":[],"74731872":[],"748":[],"74818082":[],"74829661":27,"7483":[],"74840212":5,"7484672e":[],"74849204":[],"749":[],"7490462":[],"74934715":[],"749765":27,"74978227":18,"74995126":[],"7499831":23,"74m":[],"75":[5,6,8,9,11,19,27],"750445":27,"75050135":27,"75054469":[],"7506274061293645":[],"7506410412799234":11,"7508636683863235":5,"75091492":[],"751":[],"75162857":[],"751699":[11,27],"75170092":5,"75174305":[],"75191717":26,"75240336e":[],"75268791":[],"75269037":27,"75282841":[],"753":[],"75301638e":[],"75309058":[],"75315452":[],"7532":[],"75354069":[],"75377872":26,"754":[],"75406265":[],"75457798":[],"75472506":[],"755":[],"75525377e":[],"75546705":[],"75563845":[],"75576092":[],"75576555":27,"756":[],"75627883":[],"756279":[],"75631027":[],"756352":27,"757":[],"757019617707678":[],"75707243":[],"7571572558830478":[],"75719828":[],"75770568":27,"758":[],"75821358e":[],"75823753e":[],"75848064":[],"7588118737641243":[],"759":[],"75963425":[],"75979803e":[],"75m":[],"76":[9,24,26],"7600134536106469":[],"76004012":[],"76010633":[],"76014528":[],"760154":5,"76015446":5,"76059447e":[],"76071777e":[],"76075617":[],"76077707e":[],"76084455":[],"76097737":[],"761":[],"76135601":[],"7613959":[],"76174289e":[],"76181397e":[],"762":[],"76206763":[],"76220793e":[],"76274779":5,"763":[],"7635689":[],"76366462":[],"7640203256838339":[],"7644":[],"764997683364458":[],"765":7,"7651068":[],"76577552":26,"7659922":[],"766":[],"7664107":[],"7671587":26,"76771975":[],"767750":[],"76775004":[],"769":[],"7692307692307693":9,"76936315":5,"7694444444444445":[],"76954723":[],"7696":[],"7697":[],"7698352":[],"76985203":[],"76m":[],"77":[9,24,26],"770204":[],"77025447e":[],"77067609":[],"7707199":[],"77079389e":[],"77117804e":[],"77124043":[],"77124395e":[],"77133246":[],"77152076":5,"77155539":18,"77172582":[],"7718":9,"77184871":[],"772":[],"77203046":[],"77260857":27,"77265448":[],"77265782":[],"773":[],"77312796":11,"773128":11,"77325382":[],"77343022e":[],"77359835":26,"774":[],"7742213":[],"77448317e":[],"774553354452195":[],"7748567":[],"775":[],"77589027":[],"776":[],"7761":[],"77615813":[],"77632628":[],"77636e":13,"77646856":[],"77669775":[],"777":[],"77714169":8,"7779287093124035":[],"77794957":[],"778":[],"77805840e":[],"7782028952":4,"77856932":[],"7788":[],"779":[],"77908137":26,"77m":[],"78":[],"780":[],"78009660e":27,"78031111e":[],"7803213":[],"78094722":[],"78156479e":5,"78177713":[],"78177874":18,"78184120e":6,"78192446e":[],"782":[],"78220032":[],"78299706":[],"783":[],"78316665":[],"78345878":26,"78347558":[],"784":[],"7840642":[],"7842452":26,"78427913":18,"78449688e":[],"78459969":18,"78478186":[],"785061":[],"78515112":[],"78521833":[],"78524451e":[],"78556129":[],"786":[],"7865355":[],"78669458":23,"78672237e":[],"78724182":[],"788":[],"78834469":[],"788388":[],"78838813":[],"78882958":[],"78886274":[],"789":[],"7893215781870513":[],"78941903":5,"78944094":[],"78951443":[],"78989003e":[],"78m":[],"79":[],"790":[],"79009118":[],"79035184":[],"7906583":[],"79072516":[],"791":[],"79106945e":[],"79111643":5,"79125269":[],"79142002":[],"79161356":[],"79167312e":[],"791809":[],"792":[],"79254918e":[],"79256181":18,"792898603630095":[],"79297948":[],"793":[],"793167":27,"79328516":[],"79367372":[],"79375465":[],"794282":[11,27],"79463805":23,"79473273":18,"79482449":[],"794906":[],"79490641":[],"795":[],"79503422":[],"79516409":[],"795225339396409":[],"79529368":[],"79550688e":[],"79578306":[],"79595791":[],"796":[],"7966":[],"79675445":[],"797":[],"79754897e":[],"79787771":[],"797e":6,"798":[],"7980":[],"79831624e":[],"79835897":[],"79877535e":[],"79896478e":[],"799":[],"79909592":[],"79914677":[],"7993408651198877":[],"79934087":[],"7995707762668065":[],"79981535e":[],"79998516":[],"79m":[],"7d7d58":[9,10],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,23,26,27],"80":[0,1,5,6,8,9,27],"800":[4,7],"8000":[],"80006130e":[],"80038919":18,"800407897050107":23,"8004079":23,"80074264":[],"80076024e":[],"80101942":13,"80136087":[],"80152684":[],"80180325":0,"80189569":[],"80203363e":[],"80207897":[],"802267":5,"80226723":5,"80228781e":[],"802550782087107":[],"80289543":[],"8028954343792245":[],"803":[],"80312429":[],"80354994":6,"80389541":[],"804":[],"80418542":[],"80419748e":[],"80447153":[],"80460179":[],"80469739":5,"805":[],"80540415e":[],"80548430e":[],"8055555555555556":1,"80589357":[],"80609615e":6,"80609616e":6,"80621648":[],"80625657":[],"80669838e":[],"807":[],"808":[],"80802836":[],"80847477e":6,"80861057":[],"808611":[],"8087144":[],"80946326":[],"80m":[],"81":1,"81048318e":6,"81071342":[],"811":[],"81112337":[],"81114345":[],"81122914":[],"8115":[],"81160425":5,"81175543":[],"812":[],"81233249":[],"81243166":13,"81268342":[],"81307569":[],"81333804":6,"813929":[],"81392948":[],"814":[7,9,11],"81425332":[],"815":[],"81597834":[],"815am":[24,26],"81633628":11,"816454":27,"81651921":[],"81664404":[],"816847":27,"817":[],"81753152":[],"81759234":[],"81784973":[],"818":[],"8182":[],"81840893":[],"81853487e":[],"8186717":[],"81868633":[],"81873184":[],"819":[],"81948868":[],"81953844":[],"8197":[],"81990111":[],"81m":[],"82":[],"820":[],"82001111":[],"820122":[],"82012236":[],"82029869":[],"82032378":[],"82050873":[],"82084195":[],"821":[],"82102668":[],"82139086e":[],"82178144":[],"82198978":5,"822":[],"82292185":[],"82296251":[],"823":[],"8237254":26,"82379443":[],"824":[],"82402448":[],"82410428":[],"8249367":[],"825":[],"82550815":[],"825607":[],"826":[],"82602592e":[],"82629718":[],"82651934e":[],"8265786":5,"827":[],"82717721":[],"827462":[],"82766482e":[],"82781715":[],"828":[],"8283245":[],"82843726":26,"82894312":[],"829":[],"82909728":[],"82988221":[],"83":[],"830":[],"83009076":[],"8305555555555556":[],"8306":[],"83091912":[],"831":[],"8311393813043355":[],"83140314":[],"83140314044099":[],"83146596":[],"83167477":[],"83190841":[],"832":[],"83283826":[],"83298727":[],"832987270767667":[],"832m":[],"833":[],"833774":[],"83384573":[],"834":[],"8342":[],"83443463":[],"83443698":[],"83446313":[],"83471014":[],"83488328":[],"835":[],"83505053":[],"83509815":[],"8351":[],"83512277":5,"83519995":[],"8353591":[],"836":[],"83603568":[],"83607342":[],"836085":26,"836186":[],"83618601":[],"83646135":[],"83657122":[],"83691029":23,"837":[],"83716603":[],"83752888e":[],"83770406":[],"83774539":[],"83793362":[],"83793923":[],"838":[],"8383548":[],"83870794e":[],"839":[],"83909743":[],"83917436e":[],"839818":[],"83m":[],"84":[],"840":[],"84061976":[],"84082439":[],"84094234":[],"841":[],"84132082":[],"84143964":18,"84159521":[],"842":[],"842101":[],"84210141":[],"842436":27,"84256187":[],"84257054":[],"84268865":[],"84290819e":[],"843":[],"84355903e":1,"84359332e":[],"84380376":[],"843873":[],"844":[],"84421309":[],"84443254e":1,"84444399":[],"84447599e":[],"84462849":[],"84495995":[],"845":[],"845387":[],"84538739":[],"845716766413386":[],"84571677":[],"84575663":[],"8459616":[],"846":[],"84614892":[],"8461538461538461":9,"84638256":[],"846383":[],"84666445":[],"84671508":[],"84698999":[],"847":[],"8470287":[],"84737694":26,"84780262":6,"84783351e":[],"8478361":[],"848":[],"84835621":[],"84846601":[],"84856859":18,"84858":[],"84859258":[],"849":[],"84900747":[],"84923989e":6,"84927263":[],"84929103":[],"849315":[],"84931504":[],"84942247e":[],"84991754":[],"84994524":5,"84m":[],"85":[1,9],"850":[],"850164":5,"85035714":[],"85067652":18,"8509716":[],"851":[],"85115237":[],"85144525":18,"85159661":18,"85185762":11,"85193598e":[],"852":[],"8522997":[],"8524":[],"85263220":6,"85276246":[],"85278920e":5,"8528":[],"85288931":[],"85297050e":[],"853":[],"85355539":[],"85365229":[],"853835":[],"854":[],"85456249":26,"85466682":[],"855":[],"85514104":[],"8554451":[],"85548858":[],"856":[],"85600299":[],"85601654":[],"85601992":5,"85615662":[],"85640706e":[],"85654993":[],"85714286":[],"8574":[],"85759522":[],"858":9,"85813693":[],"858185":[],"85824275":[],"8583333333333333":[],"858357":11,"85835723":11,"85857332":23,"85888897e":[],"859":[],"85910255":[],"85949635":[],"86":[],"860":[],"86012593":[],"86015267":[],"860303069807892":[],"86052354":[],"861":[],"8611":[],"86117291":5,"86134827":5,"86145244":11,"86156954":[],"861676":[],"861773":[],"86177342":[],"86192438":[],"862":[],"86221134":[],"86252988":6,"86282204":[],"863":[],"86341536":[],"8635085":[],"86376300e":[],"8638888888888889":[],"864":[],"86420934":[],"86452742":[],"865":[],"86528733":13,"86544433":[],"86570776":[],"86592590e":[],"86599003e":[],"866":[],"86619181":[],"86629645":[],"86630":9,"8666666666666667":[],"86666667":[],"867":[],"86750237e":[],"868":[],"86810":9,"86811569":[],"86830766e":[],"86850693":[],"86850963":[],"86852099":[],"8688":[],"869":0,"86901486":[],"86906683":[],"87":9,"870":0,"8702764":[],"8702784034":4,"87043345":[],"87072815e":27,"870856":11,"87085636":11,"871":0,"87134207":[],"87135280e":[],"87196574":[],"872":[],"87200322e":[],"87206824":[],"87211615":[],"8722222222222222":[],"87242312":[],"8727831":[],"8729107":[],"873":0,"87338811e":[],"87354403":[],"8736902":18,"87381451":5,"87386332":[],"87391702e":[],"874":0,"87403627e":[],"87431418":[],"87450434":[],"87458904":[],"8747":[],"87477172e":[],"87496787":[],"87499269":18,"875":[],"87533278":[],"87533326":[],"875794":[],"875856":[],"87585634":[],"8759":13,"876":6,"87604059":18,"87627342":[],"877":[],"877168286047408":[],"8773885":[],"87795661":[],"878":[],"87810129":[],"878123":[],"8784267":[],"879":[],"8791492":[],"87918262":[],"87931006":[],"87953769":[],"87964097e":[],"88":[0,13,26],"880":[],"88046261":5,"88050263":[],"8805555555555555":[],"88088818e":[],"881":[],"88168168":26,"88168312e":6,"881720":5,"88172029":5,"88182591":27,"882":[],"88228452":[],"88291866":[],"88292369":18,"883":[],"88305878":[],"88323026":27,"88336879":5,"88364362":[],"88391015":[],"88395664":[],"884":[],"8840647":18,"884399":[],"88442538":[],"884669":27,"88473534":[],"885":[],"88529063e":6,"88570382":26,"88595314":[],"886":[],"88613493":27,"88623007e":[],"88657125":[],"88667234e":[],"887":[],"88744469e":[],"88754562":23,"888":[],"888214":[],"88821402":[],"888577549915147":[],"88866133":[],"88887574":18,"888883015934703":[],"8888888888888888":[],"889":[],"88901776":[],"88908909e":[],"88960586e":[],"8897518e":[],"89":9,"890":[],"89005305":[],"89098129":[],"891":[],"89126914e":27,"89142357":[],"89142728":[],"8915573":[],"89184354":[],"892":[],"89273223e":[],"89288636":11,"89292804":26,"893":[],"89321335":[],"8932215":[],"8934":[],"894":[],"89410423":5,"8942133":[],"8944444444444445":[],"89454132":[],"89462507":[],"89481038":[],"8948621306998614":23,"895":[],"89558707":[],"89564974e":[],"896":[],"89604286":[],"89609007":[],"8964059":[],"89670222":[],"89686618":[],"896911":[],"8969113":[],"897":[],"89707309e":[],"89793609":[],"898":[],"89805982e":[],"8982":[],"89823921":[],"89881513":[],"89897156":[],"899":[],"89940861":[],"899444949551402":23,"89976047":[],"89996783":[],"8f":6,"8g":6,"8n":18,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,18,22,23,24,26,27],"90":[1,6,9],"900":[],"9000":[],"90018622e":[],"90027459e":[],"90075537":5,"901":[],"9011":6,"9012691":[],"90164278":[],"902":[],"90220243":5,"90223115":[],"90228807":26,"90239437":[],"9026":[],"90266948":5,"9027777777777778":[],"9028":[],"90297441":[],"903":[],"90325763":[],"90343239":[],"9036573":[],"904":[],"9040":9,"90414392":[],"904648525660773":[],"90475506e":6,"905":[],"9050595316983907":[],"90510842":[],"9054":[],"9055555555555556":[],"90556496":[],"906":[],"90602444e":[],"90604454":26,"90612093e":[],"90670236":[],"906747":5,"907":[],"90715001":[],"90763970e":[],"90793019":[],"908":[],"90803422":[],"90854751":[],"908548":[],"90871918":[],"908736":[],"90873644":[],"90876452":[],"908765":[],"90884438e":[],"909":[],"90911719":[],"909327":[],"90960269":[],"91":[24,26],"910":9,"91022359":[],"91050344e":[],"91071448":[],"91080327":[],"91086026":[],"911":[],"9111111111111111":[],"91128596":5,"912":[3,4],"91210472":[],"9129629":[],"913":[],"91358019":[],"91373404":[],"914":[3,4],"91408373e":[],"9142491":[],"91438463":[],"9145":[],"91471524":18,"91473433":[],"91487049e":[],"91492986e":6,"915":[3,4],"91514067":5,"915141":5,"91538877":[],"91540705e":[],"91581662":[],"915888":23,"91591367":[],"916":[],"91619855":[],"91634595":[],"91650774":[],"916508":[],"9165822":[],"9166666666666666":9,"9167":[],"91699467":[],"917":[3,4],"91700604":[],"9172":[],"9173859":23,"917482":[],"91748202":[],"91760278":5,"91784246":[],"918":[3,4],"91812702":5,"91816586":[],"918166":[],"91855299":[],"9189726":[],"918992":27,"919":[],"9194":[],"91966064":[],"91970243":[],"91992985e":[],"92":[6,9,24,26],"92054587":[],"920619":[],"92063704e":[],"92067658":[],"9207":[],"9208878":[],"92098926":[],"921":[],"92103867":[],"92123586e":[],"921368":[],"92136836":[],"92153252":5,"921533":5,"921567":[],"922":[],"922002":[],"92200223":[],"92201062":[],"922010623244745":[],"92213792e":[],"92236466e":[],"92241867":26,"92293994e":[],"923":[],"9230769230769231":9,"92317667":[],"92327822e":[],"9234":[],"92351924":[],"923602":[],"924":[],"92405283":[],"92419995":[],"924e":6,"925":[],"9250":[],"92507116e":1,"92526882":[],"92543216":[],"92576742e":[],"92578916":5,"92579609e":[],"926":[],"92604308":[],"92630576":[],"92643252":[],"926488923435684":[],"92648983":[],"92651068":[],"927":[],"92717417":[],"92729959":[],"9275":[],"92772833":[],"9277777777777778":[],"928":[],"92805329":[],"92822216":[],"92857143":7,"9286":[],"929":[],"92930426e":[],"9295763474254684":[],"92991719e":[],"92998014e":[],"93":[],"930":[],"93003138502386":[],"93018185":26,"93022647":[],"93037027":18,"93049763":[],"9305555555555556":[],"93082209":[],"930829":[],"93082933":[],"931":[0,26],"93137583":[],"93145755":[],"93155188":5,"93158979":5,"932":[],"932656":[],"93267138892912":[],"93267139":[],"933":5,"93333333":[],"93363269":[],"934":[],"93420126":[],"93482217":[],"93492130e":6,"935":[],"93500562":[],"93528653e":[],"93535577":[],"93571082":[],"93575624":26,"936":[],"93601008e":27,"93626155":5,"936262":5,"936313":[],"9363131":[],"937":23,"937082":27,"93710544e":[],"93799826":5,"938":23,"93820524":[],"93828592e":[],"9384":[],"9387":9,"93873645":[],"93884803":[],"9389615":[],"939":[0,23,26],"93900613":[],"93901621":[],"93944615e":[],"939507":[],"93988393":[],"94":[7,9,23],"940":[],"94035843":[],"941":[],"9415":[],"942":[],"94226022e":6,"94230225":[],"9423652864980914":[],"942422095469182":[],"9424428e":[],"94246006":26,"94256677":[],"94260358":[],"942604":[],"94273542":27,"94280548":[],"94284104":5,"943":[],"94320205":5,"94338159":[],"943439":[],"94399217":[],"944":[3,4],"94400087":[],"94433302e":[],"9444444444444444":1,"94466321":[],"94484047e":[],"945":[3,4],"94501598e":[],"94578579":[],"94589469":[],"94591015":[18,26],"946":[3,4],"9460":[],"94610136":[],"9461173":23,"94611730275583":23,"94639099":11,"94642209":[],"946957":5,"94697839":[],"947":[3,4],"9472":[],"9472222222222222":[],"94727053e":[],"94756925":[],"94759672":26,"94782102e":[],"94785447e":[],"948":[3,4],"94814932":[],"94815131":[],"9481513127527335":[],"94822514":6,"94823368":[],"9482527":5,"94854992":[],"94866246":[],"949":[3,4],"949162":[],"94916237":[],"94938706":[],"94948363e":[],"949807":[],"94980712":[],"9499":[],"95":[1,7,9,11],"950":[3,4],"95008046":6,"9503219":[],"95055425":[],"951":[3,4],"951109":[],"95115279":[],"95117099":[],"95166414":[],"95190644":[],"952":[],"9520":[],"95231424":5,"95235306":[],"952387":27,"9527777777777777":[],"9528":[],"95284275":5,"953":[],"953065564":1,"95327702":[],"95329348":[],"9534":[],"95344302":26,"95351665":5,"95355327":[],"954":23,"9541":[],"9541100061668464":5,"95429024":[],"955":[],"95508909":[],"95511792":27,"955118":27,"95513615":[],"95534385":18,"9555555555555556":[],"95558642":[],"95558887":[],"9556":[],"955820c21e8b":4,"95597666e":[],"956":[],"956563":[11,27],"95661705":[],"95679388":[],"95682858":[],"95684892":5,"95686268":[],"95696156":[],"95697233e":[],"957":[],"95703":13,"95746721":[],"95762994":[],"95763525":[],"9577228":[],"9578":[],"958":[],"95815651":[],"958228616652075":5,"9588":[],"959":[],"95921115":[],"959402":[],"95940231":[],"95982273":[],"959839":11,"95983949":11,"95984465":18,"96":[1,6,7,9,11],"960":23,"96008541":27,"9601304850035702e":6,"960130485007504e":6,"96019951":[],"96024953":5,"9603":[],"96033509e":[],"96042508":[],"96046928":[],"96079426e":[],"96084663":5,"96087803":[],"961":23,"96183456":[],"962":23,"96228836":23,"962653":[],"962990":[],"963":[],"963198":[],"9637117593816477":6,"96388867":11,"963889":11,"964":[],"9640435":5,"96438655":23,"96439516":[],"964588":[],"96459246":[],"96461989e":[],"96489054":[],"9649652536":4,"965":[],"96525482e":[],"965295":5,"96543101":[],"965548":27,"96574402e":[],"965944":[],"96599594":[],"966":[],"96611032":[],"96618584":[],"96631321":27,"966337":[],"96649164":[],"96688672":5,"966899":[],"967":[],"9674":[],"9674916":5,"96750421":[],"967809":[11,27],"96783837":[],"968":[],"96804366":[],"96841776":[],"96850702":[],"96852109":[],"96856697":[],"96861187":[],"96863656":18,"9688":[],"96890557e":[],"969":[],"96911909":[],"96932041":23,"9694":[],"9697031":[],"97":7,"970":[],"97005689":5,"97032289":[],"97033646e":[],"97062694":[],"97069774":[],"970698":[],"97075378":[],"97097196":[],"971":[],"97108e":13,"97135613":26,"9716":[],"97161341":26,"97177697e":[],"97198474":[],"972":[],"9722222222222222":[],"9723":[],"97243128":5,"97262227":[],"97266041":18,"972745":[],"973":[],"97300836":5,"97320866":11,"973209":11,"97326759":[],"97346886":[],"97375628":[],"9738062":23,"974":[],"97449977":[],"97488151":[],"97497404e":6,"975":[],"9750":[],"97504526":[],"97507735":5,"97514104e":[],"97555188":18,"97565845e":[],"97593541":26,"97594511":[],"976":[],"97606135":[],"97606135399951":[],"97624609":18,"9764":[],"97644118":[],"9765":[],"97663980e":[],"97690235":[],"977":[],"97702512":18,"97705827":5,"97739698":[],"97758848":5,"97761429e":[],"9777777777777777":[],"9778":[],"97784379":18,"978":[],"9780387310732":25,"9780387848570":25,"97804446":[],"9781098134174":26,"9781492032632":25,"9781492041931":[],"9781801819312":26,"9783319210079595":[],"978553":5,"97861433":[],"97864285":[],"97866042":[],"97879245":[],"97898392":[6,27],"979":[],"9790209790209791":[],"97906022e":27,"97926491":5,"97939372":[],"97948913":[],"9797317":[],"97991527":[],"98":[0,1,7,9],"980":9,"98004227":[],"9805555555555555":[],"9807":6,"98073929":[],"98091621":5,"981":[],"98127617":[],"981321":27,"98139097":5,"98157799":[],"98180203e":[],"982":[],"98201379":[],"98215566e":[],"982252":11,"98225665":[],"9824638":[],"98270777e":[],"98275501":5,"982829":[],"983":[],"98316168":[],"98320492":[],"983310":27,"984":[],"98401894e":[],"98404993":[],"98409646e":[],"98413020e":[],"98413059":5,"984182":[],"98418221":[],"98430782":[],"984308":[],"98454786":5,"984601":[],"98460101":[],"9849967686928113":[],"985":23,"98502634":[],"98566191":5,"98597638":[],"98598055":[],"986":23,"98601306":[],"9860553":[],"9861111111111112":[],"98620879e":[],"986699":5,"98680716":5,"98686102":[],"98694705":[],"987":[],"98706221":[],"98716878":5,"9871776311306221":[],"98764765":[],"987648":[],"98765625":[],"987722":[],"98772232":[],"988":[],"98808176":5,"98822371":6,"98844754":[],"98849276":18,"9885":[],"9887034589972739":[],"9888005551376943":[],"988835":[],"9888544725633199":[],"9888888888888889":[],"9889":[],"989":23,"9890348":5,"98904365":26,"98904619":[],"98914003":[],"9892":[],"9893447":5,"98947894":27,"9898ff":[9,10],"99":[1,7,9,11,13],"990":9,"99006712":[],"99009525":5,"9901527242749735":27,"990171109310765":23,"99017111":23,"99051150":6,"99083639":[],"99084226e":[],"99088801":5,"9908934":[],"991":23,"9910":[],"99106686":[],"99115119":5,"9915165982451293":[],"991753":[],"99175336":[],"99176998":5,"9919":[],"992":23,"99215828":[],"9924":[],"99242921":5,"99246148":[],"99265097":5,"99267755":[],"99268332":[],"993":23,"9930":[],"993148":[],"99316252":5,"99322932e":[],"99330715":[],"99344165e":[],"993463":11,"99346318":11,"9935551267466322":[],"993658072083743":[],"99371056":5,"99377492":[],"99389612":5,"993993":[],"99399301":[],"99399308":[],"99399309":[],"99399315":[],"994":[],"9940253773173835":[],"99418976":[],"994304":[],"9943201":5,"99439119":[],"99450177":[],"994502":[],"9945729062189713":[],"99465516":23,"9947756":5,"99484719":[],"9948937588794076":[],"994910550643694":[],"99492986":5,"9949909770903465":[],"9949937802432685":27,"995":[],"9950597269547777":[],"99520433e":[],"9952222065466447":[],"99523653":[],"9952638231265687":[],"99528218":5,"99534399":[],"99539415":5,"9955273625597437":[],"9955500279779226":[],"995597266739957":[],"99566069":5,"9957273060382023":[],"9957793953467874":[],"99578809":5,"9958":[],"995840825550726":[],"9958543328528107":[],"9958819974114181":27,"9958824304846606":[],"99589367":[],"9958946686888259":[],"9959044445566834":[],"995998835818754":23,"996":5,"99608161":5,"9961996615568259":[],"99630114":[],"9963311287748658":[],"9963961":5,"99650061":5,"9966579875073338":[],"996738628265756":[],"9967458":5,"9969332511584248":[],"99700706":5,"99709215":5,"9972493421341901":[],"99729756":5,"99751458":5,"99752738":[],"99754609":[],"99758326":5,"9976639055733267":[],"99767262":[],"99772199":[],"99775587":5,"9978":[],"9978254":[],"99784051":[],"99793613":5,"99799099":5,"998":[],"9981":[],"99813653":5,"9981377":[],"99828624":5,"9983295":5,"99845267":5,"99854557":27,"998577":5,"99858411":[],"9986":[],"99861053":5,"99861427":[],"99862019":27,"99866581":[],"99869482":27,"99871521":5,"99876055":[],"99876945":27,"99881845":5,"99883628":27,"99884384":5,"99884409":27,"99888222":[],"9988867":[],"99891093":27,"99891873":27,"99893323":5,"99897733":[],"99898558":27,"999":[9,23],"99901896":5,"99903755":5,"99906023":27,"99907985":[],"99911427":5,"99912709":27,"99913489":27,"99918546":5,"99919837":5,"99920175":27,"99926459":5,"99927642":27,"9993237":5,"99932732":[],"99933188":5,"99933329":[],"9993511":27,"9993736":[],"99938942":5,"99941797":27,"9994385":5,"99944037":[],"99944272":5,"99949077":[],"99949266":27,"99949306":5,"99951642":[],"99953381":5,"99953475":5,"99956735":27,"99957911":5,"99961294":5,"9996357":[],"99965056":5,"99966322":[],"99966842":[],"99967865":5,"99970894":27,"99970988":5,"99972468":[],"9997332":5,"99975913":5,"99976935":[],"99977849":5,"99978365":27,"99980002":5,"9998161":5,"99984215":[],"99984732":5,"99985103":[],"9998542":[],"99986253":[],"99987324":5,"99988325":[],"99988697":[],"99989476":5,"99991263":5,"99992263":[],"99992746":5,"99993978":5,"99995":5,"999955585168597":6,"99998193":[],"99998703":[],"99998899":[],"99999773":[],"99999797":[],"99999956":[],"99999985":[],"9m":4,"9x":[6,19],"9y":[6,19],"\u00f8yvind":[6,27],"\u03b4":[],"abstract":[1,21],"boolean":4,"break":[0,4,6,11,14,26],"byte":[18,26],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,17,18,19,20,21,26],"catch":0,"class":[0,1,3,4,6,7,8,9,11,12,13,23,26],"default":[0,1,2,4,6,7,13,16,18,19,20,26,27],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,19,20,21,26,27],"ekstr\u00f8m":4,"export":9,"f\u00f8470":[24,26],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,19,21,22,23,24,26],"float":[0,3,4,5,9,11,13,14,18,26,27],"function":[2,3,4,5,9,14,15,16,17,18,21],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,23],"int":[0,1,2,3,4,5,6,11,13,14,18,23,27],"l\u00e6ring":[],"long":[0,1,3,4,12,13,26],"m\u00f8svatn":[6,19],"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,18,19,21,26,27],"null":[],"public":[0,17,26],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,18,19,23,26,27],"sch\u00f8yen":[6,27],"schr\u00f6dinger":[],"short":[4,5,19,20,21],"super":[3,5,27],"switch":0,"throw":[3,6,23],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,19,20,23,26,27],"try":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,26,27],"var":[1,5,6,10,11,13,19,23,26,27],"while":[0,1,3,4,5,6,7,8,9,11,12,13,23,26,27],A:[2,3,5,6,7,10,11,12,13,16,17,18,19,20,21,22,23,24,25,27],AND:2,And:[0,3,4,5,6,9,13,17,19,20,21,23],As:[0,1,2,3,4,5,6,8,10,12,13,16,18,19,20,21,23,26,27],At:[0,4,6,13,19,26],BE:[0,26],Be:[2,17,26],Being:13,But:[0,1,2,3,5,6,9,10,20,23,27],By:[0,3,5,6,12,13,18,26,27],FOR:[],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26],IF:6,IN:25,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,26,27],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,25,26,27],Is:11,Ising:[5,12,27],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,23,26,27],Its:[1,2,4,11],NO:[7,9,11],No:[3,4,6,9,26],Not:[0,1,5,6,27],OR:23,Of:23,On:[0,3,15,22,23,24,25,26],One:[0,1,3,4,5,6,7,8,11,12,13,19,23,27],Or:[0,1,6,19,21,26],Such:[0,6,12,16,23],TO:[],That:[0,5,7,10,11,12,14,19,21,23,26],The:[4,10,13,14,15,16,18,19,20,22,23,24,25],Their:[],Then:[0,1,6,8,9,10,11,12,13,14,18,19,21,26],There:[0,3,4,5,6,8,9,11,12,14,18,19,22,23,24,26,27],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,26,27],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,20,23],With:[0,5,6,8,9,10,11,12,14,18,19,20,23,26,27],_0:[5,8,10,11,13,27],_1:[2,5,6,8,10,11,12,13,14,18,27],_2:[2,5,8,11,12,13,18,27],_3:18,_4:18,_9:13,_:[0,1,2,4,5,6,7,8,9,10,11,12,13,18,19,26,27],_________________________________________________________________:4,__call__:[3,4],__class__:10,__del__:[],__doc__:6,__future__:[8,9],__getattr__:[],__getattribute__:26,__getitem__:[],__init__:[1,3],__main__:2,__name__:[2,10],__traceback__:[3,4],_accessor:26,_accuraci:[],_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,18,23,27],_auto2:[2,3,4,5,6,12,13,18,23],_auto3:[3,4,5,6,12,13,18],_auto4:[4,6,12,13,18],_auto5:[4,6,12,13,18],_auto6:[4,6,12,18],_auto7:[4,6,12,18],_auto8:[6,12],_auto9:[6,12],_backpropag:[],_base:8,_build:[0,17,19,25,26],_build_call_output:[3,4],_c:1,_call:[3,4],_call_flat:[3,4],_can_hold_identifiers_and_holds_nam:26,_check_for_error:[],_check_optimize_result:[7,9,11],_compon:11,_compute_scor:[],_coordinate_desc:6,_decor:0,_depth:9,_distn_infrastructur:[],_eagerdefinedfunct:[3,4],_extract_window:[],_feedforward:[],_fmt:[],_format:[],_fraction:9,_gb:[],_h:[],_handl:[3,4],_i:[0,1,2,5,6,7,8,11,12,13,15,16,19,26,27],_inference_funct:[3,4],_info_axi:26,_initialize_scor:[],_initialize_weight:[],_interpolatefunctionerror:[3,4],_j:[0,1,2,3,5,6,8,13,19,27],_jit_compil:[3,4],_k:13,_l:12,_lambda:[6,26],_leaf:9,_lock:[3,4],_logist:[7,9,11],_m:10,_make_vjp:13,_maybe_define_funct:[3,4],_multilayer_perceptron:[],_n:[2,5,8,11,13,27],_node:[9,13],_notokstatusexcept:[3,4],_num_output:[3,4],_o:[],_p:[5,8,27],_pad:[],_process_traceback_fram:[3,4],_progress_bar:[],_r:[3,4],_ratio:11,_reset_schedul:[],_reset_weight:[],_reset_weights_independ:[],_sampl:9,_select_forward_and_backward_funct:[3,4],_set_classif:[],_set_pred_format:[],_split:[6,9,19],_src:[],_stateful_fn:[3,4],_stateless_fn:[3,4],_t:13,_test:[6,19],_trace:13,_unpad:[],_valu:13,_varianc:11,_weight:9,a0:3,a0faa0:[9,10],a1:[0,26],a2:[0,26],a3:[0,26],a4:[0,26],a_0:[0,20,26],a_1:[],a_1a:[0,26],a_1x:20,a_2:[],a_2a:[0,26],a_2x:20,a_3:[0,26],a_3a:[0,26],a_4:[0,26],a_4a:[0,26],a_:[0,1,16,18,26,27],a_h:1,a_i:[0,1,2,12,26],a_j:[1,12],a_k:[0,1,12],a_matric:[],a_matrix:[],a_previ:[],aaron:25,ab:[0,2,5,13,14,26,27],ab_channel:17,abandon:1,abbrevi:22,abid:23,abil:[0,10],abl:[0,1,4,5,6,7,10,12,13,16,19,27],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,19,20,21,24],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,25,26,27],abovement:[6,26],abs_eek2t0c4ro:[],abscissa:13,absolut:[0,2,5,6,13,26,27],absorb:27,acceler:13,accept:[0,3,6,9,19,26,27],access:[0,3,11,23,26],accid:[4,6],accompani:[0,26,27],accomplish:[8,9,13],accord:[0,1,2,5,6,9,12,13,14,15,16,23,26],accordingli:11,account:[0,3,5,13,15,23,26],accross:[],accumul:[12,13,23],accur:[0,3,4,6,10,13],accuraci:[0,1,3,4,5,6,7,9,10,11,12,20,21,26,27],accuracy_scor:[0,1,10,26],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,18,26],aco:23,acquaint:17,acquir:[1,17,26],acr:0,across:[1,3,6,9,17,26],act:[1,3,18],act_deriv:[],act_func:[],act_func_deriv:[],action:23,activ:[0,2,3,4,9,21,22,24,26],activation_deriv:[],activationfunct:[],actual:[0,1,4,5,6,8,11,16,18,23,26,27],ad:[1,3,4,5,8,13,15,16,18],ada_clf:10,adaboostclassifi:10,adadelta:13,adagrad:20,adagradmomentum:[],adam:[1,3,4,20,24,26],adam_schedul:[],adapt:[4,6,13,25],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,19,20,23,26,27],add_convolution2dlay:[],add_flattenlay:[],add_fullyconnectedlay:[],add_lay:[],add_outgrad:2,add_outputlay:[],add_poolinglay:[],add_subplot:[1,7,12,14],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,18,19,21,23,24,25,26,27],addition:[12,13],address:[1,9,11,13,26],adequ:[],adjac:[3,12],adjoint:[5,27],adjust:[0,5,12,13],admin:[],admir:[0,26],adopt:[],advanc:[4,6,12,25,26],advantag:[1,3,5,6,10,13,18],adversari:26,adversi:[],afecionado:26,affect:3,affin:[0,3,8,11,27],afford:3,aficionado:26,aforement:14,african:0,after:[0,1,2,4,5,6,9,11,12,13,15,17,18,19,20,21,23,26,27],afterward:[0,26],ag:[0,7,22,26,27],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,19,20,23,26,27],against:[1,4,7,10,20],agegroup:7,agegroupmean:7,agent:[],aggreg:[9,10],ago:[],agorithm:10,agre:[5,6,23],agreement:13,ahead:9,ai:[0,20,25],aid:11,aim:[0,1,4,6,7,11,14,15,16,17,18,19,20,21,27],ainv:5,air:[],airplan:3,aka:5,al:[0,2,4,15,16,20,21,25,26,27],alan:[],alarm:[5,7],albeit:[],aldo:27,algebra:[0,3,5,13,17,27],algorithm:[0,1,2,4,5,6,7,8,13,14,17,18,19,21,23,25,26],algortihm:[],align:[0,2,5,6,7,8,13,19,23,26,27],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27],allevi:[1,13],alloc:[3,18],allow:[0,1,2,3,5,6,8,10,13,15,16,17,18,19,21,26,27],almost:[0,1,6,8,11,13,21,23],alon:[2,9],along:[2,3,4,5,6,9,10,11,17,18,21,26,27],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,23,26,27],alpha_0:3,alpha_1:3,alpha_2:3,alpha_:10,alpha_i:[3,13],alpha_k:13,alpha_m:10,alpha_n:3,alpha_opt:13,alphago:[],alreadi:[2,3,4,5,6,10,12,17,18,23,26,27],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,27],alter:1,altern:[0,1,4,5,6,7,8,9,11,13,18,19,26,27],although:[0,1,5,6,8,10,13,16,21,26],alwai:[0,3,5,6,12,13,16,23,26,27],am:4,ame2016:[0,26],american:0,among:[0,3,5,9,10,12,18,21,26,27],amongst:5,amount:[0,1,3,4,6,8,10,14,17],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27],an_:23,anaconda:[0,1,15,17,19,21,26],analog:13,analys:[6,21],analysi:[1,3,4,7,14,15,16,18,21,25],analyt:[2,3,5,6,7,12,13,15,17,19,20,21,26,27],analytical_gradi:[],analyz:[0,1,3,4,5,6,16,19,20,23,27],andrew:1,angl:[0,3,9,27],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,23,26,27],anim:[4,12],ann:12,anneal:[],annot:[0,1,3,7,8,26],announc:26,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,18,19,20,23,26,27],ans_vspac:[],ansatz:[0,26],answer:[0,1,3,5,6,18,19,20,21,24,26],antialias:[2,6,19],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,23],anytim:[24,26],apach:1,apart:[11,13],api:[1,17,26],appar:2,appear:[0,1,3,13,16,18,23],append:[1,3,4,8,9,13,26],appendix:19,appl:[3,4],appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,19,20,23,25,26,27],applic:[0,1,3,4,5,6,7,9,12,13,18,19,23,25,26,27],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,21,23,25,27],appropri:[2,6,9,12,13,17,23],approv:26,approx:[0,2,3,6,10,11,13,21,23,26],approxim:[0,1,2,3,4,5,6,7,10,11,13,19,23,26,27],apt:[0,15,17,19,21,26],aq:23,ar:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27],aragorn:26,arang:[1,3,4,6,7,9,10,12,13,19,26],arbitrari:[1,4,6,8,12,13,23],arbitrarili:[0,1,11,26],arc:[6,19],architectur:[3,4,12],archiv:20,area:[0,3,6,9,19,25,26],arg:[0,2,3,4,13],argmax:[1,11],argmin:[4,10,14],argnum:[2,13],argnum_0:[],argnum_1:[],args_with_tang:[3,4],argsort:11,argu:[1,13],argument:[0,2,3,5,6,11,12,13,19,26,27],argval:[],aris:[0,6,12,13,23,26],arithmet:[0,13,18,26],arm:6,armadillo:18,around:[0,1,4,5,6,11,23,26],arr:[],arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,19,23,27],arrang:[3,26],arraybox:13,arriv:[0,6,9,11,18,23,26],arrow:12,arrowprop:8,art3d:13,art:[0,1,15,17,26],articl:[0,3,4,6,10,20,21,26,27],artifici:[0,2,7,12,25,26],artificialneuron:12,arug:13,arxiv:[3,4,20],as_fram:[],asap:[],asarrai:[0,2,6,9,27],ashort:[],asid:27,ask:[5,6,11,12],aspect:[0,6,17,19,26,27],assembl:[0,3,26],assert:4,assertionerror:[],assess:[0,6,19,21,26,27],assici:4,assign:[0,7,8,9,12,13,14,22,24,25,26],associ:[0,6,9,12,14,23,26],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,21,23,26,27],assumpt:[0,3,5,6,9,11,19,23,26,27],assur:[],ast:[0,5,6,19,26],astronomi:26,astyp:[4,9,10],asymmetr:[],asymmetri:[0,26],asymptot:[4,6],async_wait:[3,4],atla:[],atom:[0,26],attempt:[0,4,6,7,8,10,26],attend:22,attent:[0,18,21,26],attr:[3,4],attract:[0,10,26],attractor:[],attribut:[0,9,13,20,21,26],attributeerror:[13,26],audi:[0,26],audio:[3,4],august:[15,16,26],aurelien:[0,15,22,25,26],austfjel:[6,19],author:[0,1,10,23],authour:26,auto:[6,9,10,23],autocor:23,autocorrelation_tim:23,autocorrelform:23,autocovari:23,autoencod:[4,17,26],autoencond:17,autograd:[17,20,26],autom:[0,17,25,26],automac:18,automag:26,automat:[0,1,2,3,4,11,16,17,18,26],automobil:3,autonom:4,avail:[0,1,4,6,10,11,15,17,18,19,20,21,22,24,25,26],averag:[0,1,3,6,9,10,13,14,23,24,26,27],avoid:[0,4,5,6,9,11,13,18,26,27],awai:[2,3,6,27],awar:[2,10],award:[24,26],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,19,20,21,26],axes3d:[2,6,13,19],axes_grid1:6,axessubplot:[],axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,19,23,26,27],axiom:5,axlabel:[0,26],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,23,24,26,27],b_0:0,b_1:[0,2,12,13],b_2:[0,13],b_5:13,b_:[0,1,18],b_group:9,b_i:[0,1,2,12,26],b_ia_:[0,26],b_ia_i:0,b_index:9,b_j:[1,12],b_k:[0,1,12,13],b_m:12,b_score:9,b_valu:9,babcock:26,bachelor:[22,24],back:[0,3,4,5,6,8,9,10,15,18,20,23,26,27],backbon:18,backend:[1,4],background:[21,25,26,27],backprogag:[],backpropag:1,backtrack:9,backup:18,backward:[1,2,4,12,18],backward_pass:2,backwardpass:[],bad:[6,27],badli:23,bag:[9,17,21,26],bag_clf:10,baggin:26,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:6,baluka:[],band:18,bandwidth:18,bar:[0,6,11,15,16,19,26],barber:25,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,17,23,24,25,26,27],basi:[5,7,8,10,11,12,13,18,27],basic:[6,8,12,13,14,17,19,23,26],batch:[3,4,11,12,13,20],batch_shap:4,batch_siz:[1,3,4],batch_typ:[],batchnorm:4,bay:7,bayesian:[5,17,25,26],beam:26,beat:[],beaten:[],becattini:24,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,26],beccatini:[],becom:[0,1,2,5,6,7,9,12,13,23,26,27],been:[0,1,2,3,4,5,6,11,12,13,17,18,19,20,21,26,27],befor:[0,1,2,3,4,5,6,7,8,12,13,14,18,19,20,23,26,27],beforehand:[0,23,26],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,19,23,24,26,27],behav:[1,6,13],behavior:[0,1,13,26],behaviour:12,behind:[0,1,6,8,13,26],being:[0,1,2,3,4,5,7,8,10,11,12,13,23,26,27],belief:[],believ:[9,18],belong:[7,8,9,13,14],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,20,21,23,26,27],benchmark:10,benefici:[1,13],benefit:[0,1,4,11,13,15,17,26],benefiti:[],bengio:[1,20,22,25,26,27],benign:[1,7,9],besid:[4,5],bessel:[5,27],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,19,20,24,26,27],best_estimator_:[],beta1:[],beta2:[],beta:[0,1,3,5,6,7,10,11,13,16,19,26,27],beta_0:[0,1,3,5,6,7,13,26,27],beta_0x_:[0,26,27],beta_1:[0,1,3,5,6,7,10,13,26,27],beta_1x_0:[0,26],beta_1x_1:[0,7,26],beta_1x_2:[0,26],beta_1x_:[0,26,27],beta_1x_i:[7,13,27],beta_2:[0,3,13,26,27],beta_2x_0:[0,26],beta_2x_1:[0,26],beta_2x_2:[0,7,26],beta_2x_:[0,26,27],beta_2x_i:27,beta_3:3,beta_3x_i:27,beta_4x_i:27,beta_:[0,3,6,7,13,26,27],beta_i:[0,3,5,26,27],beta_j:[0,5,6,13,19,26,27],beta_k:13,beta_linreg:13,beta_m:10,beta_mg_m:10,beta_n:3,beta_ol:[],beta_p:7,beta_px_p:7,beta_ridg:[],betaol:[],betaridg:[],betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,26,27],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,19,20,21,23,26,27],beyond:[0,1,5,6,8,13,19,26,27],bf:[13,14,18,23],bg:26,bgd:13,bia:[0,1,2,3,5,8,9,10,12,13,20,26,27],bias:[1,2,3,5,6,9,12,20],bias_index:[],big:[0,1,2,5,6,14],bigger:[1,6,27],bigr:12,bike:9,bilbo:26,billion:[3,12,17],bin:[0,7,23],binari:[0,3,5,7,9,10,12,20,26],binarycrossentropi:4,bind:[0,27],binomi:[17,23,26],binsboot:6,bioinformat:0,biolog:[1,12],biologi:[],bios1100:[17,26],bird:[0,3],birth:26,bishop:[22,25,26],bit:[1,4,18,23,26],bitwis:23,bivari:2,bk:[0,13],bla:[18,26],black:[8,9,14],bledso:[],blob:[16,19],block:[6,10,17,18,23,26],blog:26,blogpost:4,blue:[0,3],bluntli:[],blur:[],bm:[],bmatrix:[0,1,3,5,7,8,11,13,18,26,27],bmi:1,board:[],bodi:[0,1,4,12,26],bold:1,boldfac:[0,5,16,27],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,19,26],boltzmann:[12,17,26],book1:25,book:[19,20,25,26,27],bool:[],boost:[1,9,17,21,26],boostrap:10,bootstrap:[1,13,17,19,20,21,26],border:[],borrow:26,boston_dataset:0,bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,17,18,19,20,23,24,26,27],bottl:7,bottleneck:[],bound:[0,8,12],boundari:[2,4,8,11,12,21],box:[4,9],boxed_arg:[],boyd:[8,13],bracket:[4,23],brain:[1,7,12],branch:9,breakthrough:[],breast:[5,7,11,20],breat:20,breviti:13,brew:[0,15,17,19,21,26],brg:8,brief:[19,20,21,27],briefli:[0,26],bring:[0,5,6,10,20,27],broad:[0,3,4],brought:[13,17,26],brownle:4,browser:26,brute:[3,5,11,27],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,18,23,26],built:[0,1,3,4,6],bunch:11,busi:0,byproduct:[],c1:[8,11],c2:[8,11],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,23,24,25,27],c_0:23,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,23],c_i:[12,13],c_j:[],c_k:23,ca:[1,26],cach:10,cal:[0,8,10,12,13,15,16,26],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,20,23,26],california:[20,21],call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,26,27],callabl:[3,4],callback:[3,4],calor:[0,27],cambridg:[13,25],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27],cancel:[0,13,26,27],cancellation_manag:[3,4],cancer:[5,10,20],cancerpd:7,candid:[8,9,10],cannot:[0,1,4,5,6,7,8,9,22,23,27],canopi:[0,15,17,19,21,26],canva:[19,20,21,26],cap:5,capabl:[0,1,8,13,17,26],capac:[2,24],capita:0,caption:[19,20,21],captur:[4,11,12],captured_input:[3,4],car:[3,4],card:[0,7,26],cardin:1,care:11,carefulli:13,carlisl:[],carlo:[0,6,17,23,25,26],carri:[2,6,7,19],cart:10,casella:25,cast:1,cat:[3,4],categor:[0,1,3,9,11,26],categori:[0,1,3,7,10,12,14,26],categorical_crossentropi:[1,3],catgeori:[],caus:[0,5,6,23,26,27],causal:0,causat:[0,26],caution:[],cax:1,cb:[6,26],cbar:1,cc:[0,1,3,4,5,13,20,21,26,27],ccc:[5,12],cd_fast:6,cdf:23,cdot:[0,2,6,12,13,14,18,23,26],ceil:[],celebr:13,cell:[0,1,2,3,4,6,10,13,19],cent:[],center:[0,1,6,7,8,9,11,14,19,21,23,26],central:[0,3,5,6,8,16,18,20,21,26,27],centroid:[14,23],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,23,26,27],certainti:[],cg:13,cha:0,chain:[0,1,13,17,23,26],challeng:[],chanc:[1,5,13,23],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,18,19,20,21,23,26,27],channel:3,chap4:[],chapter3:[0,19],chapter:[0,6,10,11,16,18,19,20,21,25,26,27],charact:[0,3,5,8,26,27],character:[8,9,10,12,23],characterist:[0,1,3,10,13,26],charg:[0,26],charl:0,chase:4,chat:[],chd:7,chddata:7,cheap:[5,27],cheaper:[1,13],check:[0,1,3,4,5,6,11,13,18,26],checkmark:3,checkpoint:4,checkpoint_dir:4,checkpoint_prefix:4,chemistri:[],chen:10,cheng:27,chiaramont:2,chin:[],choic:[0,1,2,3,4,6,9,12,13,14,18,20,26,27],choleski:[5,18,27],choos:[2,3,6,9,10,11,13,14,19,20,21],chosen:[0,1,2,6,8,9,10,13,16,20,21,23,26],chosen_datapoint:1,christian:25,christoph:[22,25,26],cifar10:3,cifar:3,circ:[1,12],circl:[0,8,12,27],circuit:3,circumfer:9,circumv:[1,5,13,27],ckpt:4,clariti:23,class_nam:[3,9],class_predict:[],class_val:9,class_valu:9,class_weight:[3,4],classic:[7,9,13],classif:[0,3,5,6,7,8,11,12,17,19,21,25,26,27],classifc:[],classifi:[0,1,4,7,9,10,11,20,21,26],classificaton:1,classifii:10,clealri:[],clean:1,clear:[1,5,10,12,13],clearli:[0,3,5,6,7,8,23,27],clever:[1,10],clf3:0,clf:[0,6,8,9,10,26,27],clf_lasso:6,clf_ridg:[6,26],clip:[3,23],clone:24,close:[0,1,2,4,6,8,9,11,12,13,14,19,21,23,25,26],closer:[3,5,13,27],closest:[8,11,13,14],closur:[17,26],cloud:[17,26],cluster:[0,1,4,6,11,17,26],cluster_label:14,cm:[1,2,3,6,8,9,13,19],cmap:[0,1,2,3,4,6,8,9,10,19,26],cmap_arg:6,cmb:22,cmd:9,cmu:[],cn_:23,cnn:12,cnn_kera:3,cntk:[17,26],co:[0,2,3,6,9,13,26],cobserv:[],code:[3,4,6,7,8,15,16,17,18,19,21,23,25],codebas:[],coef0:8,coef:[0,26],coef_:[0,5,6,8,9,13,26,27],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,18,26,27],coerc:[0,6,26],cognit:[],cogniz:[],coher:[],coin:[10,23],coin_toss:10,col:[0,11,26,27],colab:[17,26],cold:9,colinear:0,collabor:[19,20,21],collaps:8,collect:[0,2,6,10,11,17,23,25,26],collinear:[5,27],color:[0,3,4,6,8,9,10,19,23],color_channel:3,color_cod:6,colorbar:[1,6,19],coloumn:[],colsample_bytre:10,colsaobject:10,colspec:0,column:[0,1,2,5,6,7,8,9,11,12,18,26,27],column_or_1d:[],columntransform:9,com:[4,6,16,17,19,20,25,26],combin:[1,2,5,6,7,10,23],come:[0,1,3,4,5,12,13,14,15,20,26,27],command:[0,1,26],comment:[0,4,5,6,15,16,19,20,21,26,27],commerci:[0,15,17,19,21,26],commod:[0,26],common:[0,1,3,5,6,7,9,11,13,14,19,20,21,23,26,27],commonli:[0,1,4,6,7,9,13,14,27],commun:[0,12,19,21],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,26,27],compair:0,compar:[0,3,4,5,6,11,13,15,16,18,19,20,21,26,27],comparison:[2,4,13,20],compat:7,compet:0,competit:10,compil:[0,1,3,4,13,15,17,18,26],complet:[0,2,3,4,9,12,26],completenn:12,complex:[1,5,8,9,11,12,13,15,16,20,26],complic:[0,1,9,13,26],compoment:27,compon:[0,1,3,4,5,6,7,9,14,16,17,21,26,27],components_:11,compos:[9,12,13,14,17,26],compphys:[0,6,16,17,19,22,24,25,26],comprehend:[],compress:[0,26,27],compris:6,compromis:[5,27],compulsori:[17,26],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27],computation:[0,3,6,9,13,23,26],computationalscienceuio:26,computerlab:[19,20,21],con:20,concat:[],concaten:[2,4,6,14],concav:[1,9,13,27],concentr:[0,10],concept:[0,2,17,26,27],conceptu:[12,13],concern:[0,1,4,7,26],concic:26,conclud:[0,5,13],conclus:[1,21],concretefunct:[3,4],cond:2,conda:[0,1,15,17,19,21,26],condis:27,condit:[0,2,4,5,6,8,9,11,13,21,23,26,27],conduct:17,condwav:2,confer:[],confid:[0,5,6,7,8,19,26,27],configur:3,confirm:[5,12],conform:[],confus:[5,6,7,10,18,21,27],confusion_matrix:9,congruenti:23,conjug:[4,8],conjugaci:13,conjunct:3,connect:[0,1,3,4,9,11,12,13,18,26,27],consecut:[],consequ:[5,6,8,10,12,13,27],conserv:[5,14,27],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,18,19,20,23,26,27],consider:[0,1,5,13,26,27],consist:[0,1,2,3,4,6,12,13,19,20,21,23,27],constant:[0,2,4,5,6,8,12,13,23,26,27],constitu:[0,26],constitut:[2,6],constrain:[1,3,5,7,11],constraint:[5,6,8,13,27],construct:[0,1,2,3,5,6,7,8,9,10,11,18,23,26,27],consult:20,contact:[0,26],contain:[0,2,3,4,5,6,7,8,9,11,12,13,18,19,20,21,23,25,26,27],contemporari:26,content:[1,17,18,26],context:[3,4,6,10,13,19,21],contigu:18,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,18,19,20,23,26,27],contour:[9,10,13],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,23,26,27],contributor:[0,19,21],control:[0,1,3,9,13,15,17,26],conv2d:[3,4],conv2d_49:[],conv2d_50:[],conv2d_51:[],conv2dsep:[],conv2dtranspos:4,conv:[3,4],conv_imag:[],conv_lay:[],conv_result:[],convei:26,conveni:[0,5,6,12,13,18,19,20,21,26],convent:[12,27],converg:[1,2,4,5,6,7,8,9,11,13,14,20,27],convergencewarn:[6,7,8,9,11],convers:[],convert:[0,1,4,5,9,11,13,18,26,27],converttomatrix:4,convex:[4,5,7,27],convinc:13,convolut:[1,4,17,21,26],convolution2dlayeropt:[],convolv:[],convolved_imag:[],convout:[],cool:[4,9],coolwarm:[6,19],coordin:[5,12,14,27],coorel:0,cope:[],copi:[0,1,14,27],copyright:[20,21],core:[2,3,4,10,13,26],corel:26,corner:[],coronari:7,corr:[0,5,7,11,27],correalt:[11,17],correct:[0,1,2,3,4,5,7,13,18,23,26,27],correctli:[1,2,6,7,10,20],correl:[0,1,3,5,6,7,10,12,13,17,23,26],correlation_matrix:[0,5,7,11,27],correspond:[0,3,5,6,8,9,11,12,15,16,17,18,19,23,26,27],corss:[],cortex:12,cosin:[3,6],cost:[0,2,3,5,6,7,8,9,12,13,16,19,20,26],cost_deep_grad:2,cost_func:[],cost_func_deriv:[],cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_function_train:[],cost_function_v:[],cost_grad:2,cost_sum:2,costcrossentropi:[],costfunct:[],costlogreg:[],costol:13,could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,20,21,23,26,27],coulomb:[0,26],count:[0,9,22,23,24,26],countor:13,coupl:[4,5,6],cours:[0,1,3,5,11,19,20,21,22,24,27],courvil:[20,22,25,26,27],cov:[5,6,11,18,23,26,27],cov_xi:[5,11,27],cov_xx:[5,11,27],cov_yi:[5,11,27],covari:[0,7,17,18,26],covariance_matrix:[5,11,14,27],cover:[0,5,17,21,24,25,27],covert:[0,26],covxi:23,covxx:23,covxz:23,covyi:23,covyz:23,covzz:23,cpu:[1,3,4],cpu_util:[3,4],craft:3,crawford:[],creat:[1,2,3,4,5,6,9,10,11,12,13,17,19,26],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,27],creation:[],credit:[0,7,24,26],crim:0,crime:0,criteria:[0,4,9,10,14,23,26],criterion:[9,10,13,21],critic:[6,19,21,27],critiqu:[19,20,21],croot:[],crop:[],cross:[0,1,3,7,9,10,13,17,20,21,23,26,27],cross_entropi:4,cross_val_scor:6,cross_valid:[7,10],crossvalid:6,crucial:[1,23],cs231:3,cs231n:[],cs231n_2017_lecture4:[],cs:[22,24],csr_matrix:[18,26],csv:[0,4,6,7,9,26],ctnk:1,ctx:[3,4],cubic:0,cumbersom:5,cumsum:[10,11,26],cumul:[7,10,21,23],cumulative_heads_ratio:10,cup:5,current:[1,2,3,4,6,13,14,19,25],curs:[0,27],curv:[6,7,10,12,19,21],curvatur:13,custom:[6,14,19],custom_cmap2:[9,10],custom_cmap:[9,10],cut:[],cute:[],cutpoint:9,cv:[6,7,10],cvxbook:13,cvxopt:[5,8,27],cwe:[],cyber:[],cycl:[1,12],cyclotron:[],d2_g_t:2,d:[1,2,3,4,5,6,7,8,9,10,11,13,14,18,23,24,26,27],d_f:13,d_g_t:2,d_net_out:2,da:3,dagger:[5,18,27],dai:[1,9,17],damp:3,dan:[],daniel:24,darget:9,darkr:23,dat:[0,26],dat_id:[0,6,7,9,26,27],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,18,20,25],data_handl:[3,4],data_id:[0,6,7,9,26,27],data_indic:1,data_modul:[],data_panda:26,data_path:[0,6,7,9,26,27],data_url:[],databas:1,dataconversionwarn:[],datafil:[0,6,7,9,19,26,27],datafram:[0,4,5,7,9,11,26,27],datapoint:[1,5,6,7,11,13,27],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,19,20,26],datatyp:4,date:[15,16,19,20,21,26,27],daughter:10,david:[25,26],davison:[],dbh:1,dbo:1,dc5e85cd93c3:20,dcomposit:18,ddot:2,de:[],dead:1,deadlin:[16,22],deal:[0,1,3,5,6,8,11,13,14,18,19,21,23,26,27],dealt:0,debt:7,debug:[0,5,6],decad:[0,3],decai:[0,13,23,26],decemb:[22,24,26],decent:10,decid:[0,2,3,5,6,9,19],decim:[0,26],decis:[0,1,8,11,17,21,25,26],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],declar:[0,4,18,26],decod:[],decompos:[5,6,18,27],decomposit:[0,6,12,19,26],decompost:[5,27],deconvolut:3,decor:0,decorrel:[10,13],decreas:[1,2,4,5,6,10,11,13],dedent:[],dedic:[],deduc:[0,26],deep:[3,7,12,13,17,20,21,22,25,27],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepcopi:[],deepen:[5,17,26],deeper:[0,3,4,26],deepimag:[],deeplearningbook:[25,26],deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,19,23,26,27],def_covari:23,def_funct:[3,4],default_tim:4,defect:[5,27],defici:[5,27],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,23,27],definit:[1,2,5,6,7,8,10,11,12,13,18,23,27],defint:23,defualt:[],defun:[3,4],defvjp:[],degre:[3,5,6,8,9,10,11,15,16,19,23,26],deiana:[],deisenroth:27,del:1,delet:6,delimit:4,deliv:[22,26],delta:[0,2,3,6,8,12,13,14,21,26],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,18],delta_h:[0,1,26],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_matrix:[],delta_momentum:13,delta_n:[0,3,26],delta_next:[],delta_term:[],delta_term_next:[],delta_term_pad:[],delug:17,delv:0,demand:13,demonstr:[0,3,5,6,7,11,12,17,26,27],demostr:[],demystifi:[],den:4,denomin:[1,5],denot:[1,2,6,7,13,23],dens:[1,3,4],dense_1:4,dense_98:[],dense_99:[],densiti:[0,2,6,23,26],depart:[20,21,24,26,27],depend:[0,1,2,4,5,6,7,8,11,12,13,15,17,18,19,21,23,26,27],depict:23,deploi:[],deploy:[0,15,17,19,21,26],deprec:[2,3,6,13,19],deprecate_nonkeyword_argu:0,depth:[0,3,9,10,18],deriv:[0,1,2,6,7,8,10,11,13,16,17,19,26],derivati:13,derivative_fn:13,descend:[5,9,11,27],descent:[0,1,3,7,8,12,21,26,27],descent_i:[],descent_x:[],descr:[],describ:[0,2,4,5,6,8,10,11,12,13,18,19,20,21,26],descript:[0,8,9,20,21,26],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,19,20,26],designmatrix:[0,26],desir:[0,2,4,5,13,14,26,27],despit:[1,12],destroi:18,destruct:[],det:[5,18,27],detail:[0,6,11,13,14,18,19,20,27],detect:[3,8,12],detector:[],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,18,23,26,27],determinist:[7,13,23],dev:1,develop:[0,3,5,8,10,11,12,17,18,19,20,21,26,27],deviat:[0,1,2,4,5,6,19,23,26,27],devic:[3,4],device_nam:[3,4],devis:12,df1:26,df:[4,8,11,13,26],di:0,diag:[5,8,27],diagnost:[1,10],diagon:[0,5,7,13,18,19,21,23,26,27],diagonaliz:[5,27],diagram:10,diagsvd:6,dice:[6,23],dict:[6,8],dict_kei:[],dictat:21,dictionari:0,did:[0,1,5,6,7,10,11,14,19,20,21,26],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,21,23,25,26,27],different:[],differenti:[0,3,16,17,18,26,27],differential_oper:[2,13],difficult:[0,1,6,10,13,19,23,26],difficulti:[0,1,13,26],diffonedim:2,diffus:21,digit:[0,1,3,4,6,19,20,22,24,26],dilemma:13,dilut:1,dim:[4,11,14,18],dimens:[0,1,2,3,4,5,8,9,11,14,16,18,21,26,27],dimension:[0,4,5,6,9,11,13,14,17,18,20,21,26],dimensionless:[0,3,26],diment:18,dimention:[],dimnsion:4,diod:3,direct:[0,1,2,4,11,12,13,14,26,27],directli:[1,4,5,6,23,27],directori:[],disabl:[3,4],disadvantag:[0,26],disappear:[3,6],disc_loss:4,disc_tap:4,discard:[6,11],disciplin:[0,3,12],disclaim:23,discord:26,discourag:13,discov:[0,26],discover:5,discoveri:[],discrep:[],discret:[1,3,5,7,13,21],discrimin:[4,7,10,11],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discriminitav:[],discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,25,26,27],diseas:7,disguis:[6,27],disord:[1,7],dispai:[],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,19,23,26,27],displaystyl:[0,5,26,27],displot:[],disregard:[0,26],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,23],distance_list:9,distinct:[3,7,8,9,10,14],distinctli:8,distinguish:[0,4,7,8,23,26],distplot:0,distribut:[0,1,4,6,7,10,11,13,14,15,16,17,18,19,20,21,26,27],distrubut:[0,15,17,19,21,26],ditto:21,dive:[0,8,18,26],diverg:[1,13],divid:[0,1,3,5,6,7,8,9,11,12,20,23,26,27],divis:[6,8,9,13,18,23],dna:7,dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,26],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,26],doamin:[],doc:[0,6,16,17,19,20,21,22,24,25,26],docintang:[],document:[4,7,9,11,13],doe:[0,1,2,3,4,5,6,8,10,11,12,13,16,18,19,23,26],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13,19,20,21],domin:[0,26],don:[0,1,3,5,6,8,11,13,15,17,19,20,21,26,27],done:[0,2,3,4,5,6,9,10,11,13,18,19,21,26,27],dot:[0,2,3,5,6,7,8,9,10,11,12,13,18,19,23,26,27],doubl:[3,4,18,26],doubli:1,down:[0,3,6,9,11,12,13,21],download:[0,1,3,5,6,18,19,25,26],downsampl:3,dozen:1,dq:6,drag:13,dramat:11,drastic:4,draw:[4,6,10,13],drawback:[0,1,3,13,27],drawn:[1,4,6,7,11,23,26],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,23,26,27],dropna:[0,6,26],dropout:4,dt:[2,3,13,23],dtype:[0,1,2,3,4,14,18,26,27],dualiti:6,dub:[0,26],due:[1,2,5,6,8,10,12,13,24,26,27],dummi:0,dumoulin:[],dure:[0,1,3,4,8,9,11,17,19,21,26],dwell:0,dwh:1,dwo:1,dx:[2,3,8,23],dx_1:23,dx_1p:6,dx_2p:6,dx_mp:6,dx_n:23,dxp:6,dy:[1,8,23],dynam:4,dyp:[],dz:8,e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,23,24,26,27],e_:[0,2,26],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,21,22,23,24,26,27],eager:[3,4],eapprox:[0,26],earli:[1,3,4,13],earlier:[0,5,7,8,9,11,12,13,26,27],earliest:[],earthexplor:[6,19],eas:[6,9,14],easi:[0,5,6,7,8,9,10,11,12,13,17,18,20,26,27],easier:[5,6,8,9,13,20,23,26,27],easiest:13,easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,19,26,27],eastern:[24,26],ebind:[0,26],eblock:9,echo:[],econom:[],econometr:26,economi:5,ecosystem:[17,26],ect:22,edg:3,edgecolor:6,edu:[13,20],educ:[0,19,20,21,26],eff:23,effect:[1,4,10,13,23],effic:1,effici:[0,3,10,13,17,18,23,26],efron:6,egrad:13,eig:[5,11,13,18,23,26,27],eigen:23,eigenpair:[5,11,27],eigenvalu:[0,5,8,11,13,18,26,27],eigenvector:[5,11,13,27],eight:[18,26],eigval:[18,23,26],eigvalu:[11,13],eigvec:[18,23,26],eigvector:[11,13],eispack:[18,26],either:[1,5,6,7,8,9,10,11,13,15,16,19,20,21,23,26,27],elabor:23,elarn:3,elect:[],electr:[0,3,12,26],electron:26,eleg:11,elegantli:[],element:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,20,22,25,27],elementari:[10,13,18],elementwis:[3,13],elementwise_grad:[2,13],elessar:26,elif:[3,4,14],elim:18,elimin:[3,8],els:[1,2,3,4,7,9,12,13,18],elu:1,elus:[0,26],em:[],email:[22,24,26],emb:[],embed:[0,11,27],embodi:[6,19],emerg:[],emit:23,emner:25,emphas:[0,10,17,26],emphasi:[0,17,25,26],empir:[1,11,23],emploi:[0,1,5,6,11,13,19,20,21,23,26,27],employ:0,empti:[6,10],emul:12,en:[17,25],enabl:11,enbodi:6,encapsul:[],encod:[0,3,5,9,11,14,26,27],encompass:[0,19,21,23],encount:[0,1,5,6,7,13,23,26,27],encourag:[19,20,21],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,21,23,24,26,27],end_box:13,end_nod:[2,13],end_valu:13,endpoint:[3,6],energi:[0,4,6,27],enet_coordinate_desc:6,enforc:12,eng:25,engin:[0,1,3,4,17,26],english:[19,20,21],enhanc:[],enlarg:[],enorm:3,enough:[0,6,13,26],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,23,27],ensure_initi:[3,4],entail:26,entangl:[],enter:[5,6,27],enthought:[0,15,17,19,21,26],entir:[1,3,7,9,17,23,26],entiti:[9,12,18,26],entri:[0,5,8,11,12,18,26,27],entropi:[1,3,7,10,13,26],enumer:[0,1,2,3,4,6,8,26,27],env:[0,2,3,4,6,7,8,9,11,13,23,26],environ:[2,17,19,21],environment:[],eo:[0,6,26],eol:[0,26],eosfit:[0,26],epoch:[0,1,3,4,12,13,20,26],epoch_num:[3,4],epsilon:[0,5,6,7,13,19,26,27],epsilon_0:[0,26],epsilon_1:[0,26],epsilon_2:[0,26],epsilon_:[0,26],epsilon_i:[0,26,27],eq:[3,13,14,18,23],eqnarrai:[3,5,6],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,18,19,20,23,26,27],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,18,19,23],equilibrium:[2,12],equiv:[3,13,18,23],equival:[0,1,5,7,8,11,13,17,18,26,27],erf:23,eriador:26,eric:[],eridg:26,err:[0,10],err_:6,err_sqr:2,errat:13,errno:[],erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,19,20,23],error_estimate_corr_tim:23,error_handl:[3,4],error_hidden:1,error_output:1,escap:13,esn:[],especi:[1,3,9,12,13,19,20,21],essenti:[0,5,6,9,10,12,14,19,20,23,27],establish:[0,6,10,11,15,19,20,21,26],estim:[0,1,5,6,7,10,11,13,17,21,23,26,27],estimated_mse_fold:6,estimated_mse_kfold:6,estimated_mse_sklearn:6,et:[0,2,4,15,16,20,21,25,26,27],eta0:[8,13],eta:[0,1,3,8,12,13,20,26],eta_:13,eta_t:13,eta_v:[0,1,3,26],etc:[0,1,3,5,7,8,9,11,12,13,14,15,17,18,19,20,21,23,27],ethic:17,etsim:[],euclidean:[0,14,27],euler:21,eval_metr:[],evalu:[0,2,3,4,5,6,9,13,19,21,23,26,27],evaluationform:19,evaluationgrad:19,evalut:13,even:[0,1,3,4,5,6,8,9,10,11,12,13,14,17,18,21,23,26,27],evenli:4,event:[5,7,10,23],eventu:[0,5,6,11,12,13,19,20,21,24,27],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,17,23,24,26,27],everyth:[4,12],everywher:[4,13],evid:[],evolv:0,exact:[0,5,11,12,13,18,23,26,27],exactli:[0,3,4,6,12,17,19,27],exam:26,examin:6,exampl:[5,11,12,13,15,16,17,18,19,20,21,23,25],exce:[1,12,13],excel:[0,1,4,5,10,20,26,27],except:[3,4,6,8,9,18],excess:[0,26],excit:0,exclud:[1,6,12,19,27],exclus:[0,1,3,6,23,26],execut:[2,3,4,5,13,27],execute_with_cancel:[3,4],executing_eagerli:[3,4],exemplifi:13,exercic:[24,26],exercis:[5,17,19,20,21,22,24],exercisesweek35:[],exhaust:6,exhibit:[0,5,6,8,26,27],exisit:21,exist:[0,1,2,3,5,6,7,8,9,13,18,19,20,21,26,27],exit:[5,18,27],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,19,23,26,27],exp_term:1,expand:[5,7,11,13,27],expans:[0,3,5,8,10,12,13,26,27],expect:[0,1,5,6,7,11,12,13,15,16,17,19,20,26,27],expectation_value_of_h_wrt_p:23,expediti:[],expens:[6,10,13],experi:[0,1,6,8,13,17,19,26,27],experiment:[0,3,4,6,9,23,26],experimental_get_tracing_count:[3,4],expert:[1,9],explain:[0,6,9,10,11,13,19,21,26],explained_variance_ratio_:11,explan:20,explanatori:[0,26],explicit:[0,3,6,13,18,19,21,26,27],explicitli:[0,4],explod:1,exploit:[0,3,12,13,26],explor:[1,4,6,8,13,17,19,20,21],expon:1,exponenti:[0,1,5,6,10,13,19,23,26],export_graphviz:9,export_text:9,exporttext:9,expos:17,express:[0,2,3,5,6,7,10,12,13,16,18,19,20,23,26],exptmean:23,exptvari:23,extend:[0,2,7,11,13,17,26],extens:[0,12,15,17,21,26],extent:[0,1,6,21,25],extern:[3,6,9],extra:[1,3,5,24,26,27],extract:[0,3,5,6,7,8,11,13,18,26,27],extrapol:[0,26],extrem:[0,1,4,5,6,7,8,9,13,16,18,27],extremum:13,extrins:11,ey:[0,5,6,13,14,18,26],f11:[0,26],f12:[0,26],f13:[0,26],f1:13,f1_grad:13,f1d:13,f2:13,f2_grad_x1:13,f2_grad_x1_analyt:13,f2_grad_x2:13,f2_grad_x2_analyt:13,f3:13,f3_grad:13,f3_grad_analyt:13,f4:13,f4_grad:13,f4_grad_analyt:13,f5:13,f5_grad:13,f6:13,f6_for:13,f6_for_grad:13,f6_grad_analyt:13,f6_while:13,f6_while_grad:13,f7:13,f7_grad:13,f7_grad_analyt:13,f8:13,f8_grad:13,f9:[0,13,26],f9_altern:13,f9_alternative_grad:13,f9_grad:13,f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,23,24,26,27],f_0:[3,10],f_1:[10,13],f_2:[12,13],f_3:12,f_:10,f_d:23,f_grad:13,f_grad_analyt:13,f_i:[0,6,12,16],f_m:[3,10],f_n:3,f_raw:[],f_vec:2,f_wrap:[],face:13,facecolor:[6,8,23],facil:[0,15,17,26],facilit:12,fact:[0,1,3,5,9,11,12,13,26,27],factor:[0,1,3,5,6,9,10,11,13,18,23,26,27],factori:13,fade:6,fafab0:[9,10],fahimeh:[24,26],fail:[0,3,4,6,7,8,9,11,13,24,26],failur:7,fairli:[1,2,23],faisal:[16,27],fake:4,fake_loss:4,fake_output:4,fale:20,fall:[8,9,22],fals:[0,1,2,3,4,5,6,7,9,10,14,18,19,26,27],famili:[0,7,8,23],familiar:[0,3,5,6,8,15,17,18,19,21,23,26],famou:[6,12],fanci:[],far:[0,3,4,5,6,8,11,12,13,14,26,27],fashion:[0,9,10,26],fast:[1,3,6,10,12,13,17,23,26],faster:[1,11,13],fastest:[13,18],favor:7,favorit:23,fc:3,fdr:[],featur:[0,1,3,5,6,7,8,10,11,12,13,17,19,20,23,26],feature_map:[],feature_maps_index:[],feature_nam:[0,1,7,9],feautur:9,fed:1,feed:[0,2,3,11,17,20,26],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,26],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,17,19,20,21,24,26],feet:0,fei:[],felt:[19,20,21],fetch:[6,19],fetch_california_h:[],fetch_openml:[],few:[1,3,4,5,9,23,26],fewer:[0,9,11,26],ffnn:[1,12,20],fft2:[],fft:[],field:[0,3,6,12,17,21],fifth:[0,6,15,16,19,26],fig:[0,1,2,3,4,6,7,12,13,14,19,26],fig_id:[0,6,7,9,26,27],figaxi:23,figsiz:[0,1,2,3,4,6,7,8,9,10,26],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,19,20,21,26,27],figure_id:[0,6,7,9,26,27],figurefil:[0,6,7,9,26,27],file:[0,2,3,4,5,6,7,9,13,19,20,21,26,27],file_prefix:4,filenam:26,filenotfounderror:[],filepath_or_buff:0,fill:[5,9,27],filter:[3,4],filter_traceback:[3,4],filtered_flat_arg:[3,4],filtered_imag:[],filtered_tb:[3,4],financ:0,find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,23,26,27],fine:[0,14,15,26],finish:2,finit:[3,5,6,12,13,21,23,27],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,19,21,23,24,25],first_moment:[],first_term:[],firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,19,20,23,27],fit_beta:[6,27],fit_intercept:[0,5,6,27],fit_mod:9,fit_transform:[0,6,8,9,11],fiti:[0,26],five:[0,9,19,26,27],fix:[0,3,4,6,10,11,12,13,19,20,26],fixedformatt:6,fixedloc:6,flag:4,flat:[12,13],flatten:[1,3,4,5,18],flatten_49:[],flattenlay:[],flexibl:[1,6,8,10,12,20,26],flip:[24,26],float32:[4,9],float64:[4,18,26,27],floatingpointerror:[],floor:[],flop:[5,18,27],flow:[1,4,12],fluctuat:5,fluid:21,flush:[],fly:11,fm:[0,26],fmap:[],fmax:3,fmesh:13,fn:[3,4,7],fnr:[],focu:[0,3,4,5,6,15,17,20,25,26,27],focus:[1,6,7,18,27],fold:[6,9,19],folder:[0,1,4,6,13,19,20,21,26],follow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27],font:[0,7,23,26],fontdict:23,fontsiz:[1,6,8,9,10,23],fontweight:1,footprint:3,foral:[8,27],forc:[0,5,6,10,11,26,27],forcast:4,forecast:[4,12],forest:[0,1,9,17,21,26],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,18,19,20,21,23,26,27],formal:[3,4,14,23],format:[0,1,3,4,6,7,8,9,10,11,17,23,25,27],format_data:4,formatstrformatt:[6,13,19],formul:[4,6,11,14],formula:[3,13,21,23],forth:[4,12],fortran2003:[17,26],fortran2008:[19,20,21],fortran90:23,fortran:[0,15,17,18,26],fortun:[0,11,27],forward:[0,3,4,6,17,18,20,21,26],forward_backward:[3,4],forward_funct:[3,4],foster:26,found:[1,2,4,5,6,12,13,19,20,21,26,27],foundat:[17,26],four:[4,5,6,8,12,18,19,22,24,26],fourier:[0,26],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,26,27],fp:7,fpr:[],frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,26,27],fractal:9,fraction:9,fragment:[],frame:7,framework:[1,8,10,23],frank:[5,11,20],frankefunct:[5,6,11,19,27],fredli:[24,26],free:[0,6,11,13,15,16,17,18,19,20,21,23,24,25,26],freecodecamp:17,freedom:5,freeli:[0,19,21],frequenc:[3,4,6,7,23],frequent:[0,8,9,13],frequentist:17,fresh:10,fridai:[16,24,26],friedman:[6,19,22,25,26],friendli:4,frodo:26,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,19,21,23,24,25,26],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,26,27],fruit:[],fuction:[],fulfil:[2,5,12,27],full:[0,1,3,5,7,9,10,13,23,26,27],full_matric:[5,27],fulli:[3,6,12,22,23],fullyconnectedlay:[],fun:[2,13,17,26],fun_nam:[],func:[0,2],functionali:11,functionfit:[],fundament:[0,6,17,26],funtion:2,further:[2,7,9,26],furthermor:[0,3,5,6,7,11,12,13,17,19,26,27],futur:[0,4,8,9,26],futurewarn:0,fy:[15,19,20,21,22,24,25,26],fys3150:21,fys4155:[19,20,21],fys5419:[25,26],fys5429:[25,26],g0:2,g2d:[],g:[0,1,2,3,4,6,8,9,10,11,13,23,26],g_0:2,g_1:[2,10],g_2:[2,10],g_:[2,9,10],g_analyt:2,g_dnn_ag:2,g_euler:2,g_i:2,g_m:[3,10],g_n:3,g_re:2,g_t:2,g_t_d2t:2,g_t_d2x:2,g_t_dt:2,g_t_hessian:2,g_t_hessian_func:2,g_t_invers:[],g_t_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,21,27],galleri:[0,26],game:4,gamge:26,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,26],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,26],gamma_i:[0,8,23,26],gamma_j:13,gamma_k:13,gamma_m:10,gamma_x:[0,26],gan:[],gap:[6,8],gate:[4,12],gather:[0,1,12,27],gaug:12,gauss:[],gauss_kernel:[],gaussbacksub:18,gaussian:[4,5,6,8,14,23],gaussian_point:14,gaussian_rbf:8,gave:13,gavra:26,gbc:[22,26],gca:[2,6,8,13,19],gd:[1,20],gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:13,gdregress:10,ge:[1,5,7,21,23,27],gen_loss:4,gen_tap:4,gender:[0,26],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,18,19,23,25,27],generaliz:[],generallay:12,generate_and_save_imag:4,generate_gauss_mask:[],generate_imag:4,generate_latent_point:4,generate_simple_clustering_dataset:14,generated_imag:4,generator_loss:4,generator_loss_list:4,generator_model:4,generator_optim:4,genet:[],genom:17,geodes:11,geoffrei:[],geometr:[0,13,26],geometri:5,georg:25,geotif:[6,19],geq:[2,5,8,9,13,27],geron:[0,15,22,25,26],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,17,18,19,20,21,23,24,26,27],get_dummi:9,get_paramet:2,get_pred_format:[],get_prev_a:[],get_split:9,get_yaxi:8,get_yticklabel:6,getattr:[],gg:26,gibb:[17,26],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,17,26],giter:13,github:[0,6,15,16,17,19,20,21,22,24,25,26,27],gitlab:[0,15,17,19,20,21,26],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,19,20,21,23,26,27],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,26,27],global:[6,7,13,19],gloriou:20,glorot:1,gnew:13,go:[0,1,3,5,6,8,9,11,12,13,19,26,27],goal:[0,7,9,26],godfath:[],goe:[0,1,2,5,6,13,14,18,26,27],golden:13,gone:[5,27],gong:1,good:[1,3,4,5,6,9,10,11,13,17,23,25,27],goodfellow:[4,20,22,25,26,27],googl:[1,4,17,26],got:[1,6,19],gotcha:[],gotten:26,gov:[6,19],gp:25,gpu:[1,13,17,26],grad:[2,13],grad_analyt:13,grade:22,gradient:[0,3,4,7,8,9,12,17,21,26,27],gradient_bia:[],gradient_desc:3,gradient_kernel:[],gradient_weight:[],gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradients_util:[3,4],gradienttap:4,gradual:[1,14],grai:[4,6,19],graph:[1,9,11,12,13],graph_from_dot_data:9,graph_funct:[3,4],graphic:[0,1,9,26],grasp:0,gray_r:[1,3],grayscal:3,great:[5,13],greater:[1,7,23],greatli:13,greedi:9,green:[0,3,9,23],gregor:[],grei:4,grid:[1,3,6,7,8,12,23,27],gridsearch:[],gridsearchcv:[],grossli:13,ground:[0,26],group:[0,6,7,9,14,17,19,20,21,22,24,26],groupbi:[0,26],grow:[1,3,9,10],growth:[0,26],gru:4,guarante:[0,3,4,13,23,26,27],guess:[1,4,10,13,14,20],guestrin:10,guid:1,guidelin:[],h1:2,h:[0,1,5,6,8,13,16,19,23,24,25,26,27],h_1:[2,13],h_2:[2,13],h_:[0,13,26],h_ind:[],h_j:[],h_m:10,h_stride:[],ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,23,26,27],haa:24,haabrwft72:[],habit:[0,27],had:[0,1,6,7,13,26],hadamard:[1,12,13],half:[1,8,9],half_dim:[],half_kernel_height:[],half_kernel_width:[],halv:10,hand:[0,1,2,3,5,11,12,13,15,17,18,19,20,21,22,23,24,25,26,27],handi:[3,19,20,21],handicap:[],handl:[0,1,2,5,9,11,17],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5],handwrittennot:[],hang:[],happen:[1,2,3,4,5,6,10,13,23,27],hard:[1,7,8,10,13],hardcopi:[17,26],harder:[0,1,27],harmon:3,harrison:[],hasn:[],hassl:[0,15,17,26],hast:[17,26],hasti:[0,6,15,16,19,22,25,26,27],hat:[0,1,5,6,7,9,10,11,12,13,18,19,27],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27],haven:1,he:7,head:[0,4,10,23],header:[0,26],heads_proba:10,health:[0,27],healthi:[],hear:[0,13,26],heart:[0,7,26],heat:[],heatmap:[0,1,3,7,26],heavili:0,heavisid:1,hedon:[],height:[1,3,6,27],height_index:[],hein:[],held:13,help:[0,1,4,12,13,16,19,20,21,26],helper:[4,14],henc:[0,5,6,8,9,10,12,13,19,26,27],henrik:[24,26],her:7,here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,26,27],hereaft:[0,8,12,26],hermitian:18,hessenberg:18,hessian:[0,2,5,13,16],heterogen:[9,10],hi:7,hidden:[1,3,4,12,20,21],hidden_bia:1,hidden_bias_gradi:1,hidden_deriv:[],hidden_func:[],hidden_layer_s:[0,1,26],hidden_neuron:4,hidden_nodes1:[],hidden_nodes2:[],hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,27],higg:[],high:[0,1,2,3,4,5,6,9,10,11,13,14,17,18,19,20,26,27],higher:[0,1,3,5,6,8,13,19,20,26,27],highest:[1,2],highli:[0,3,4,10,17,18,20,21,25,26,27],highwai:0,hing:8,hint:[13,16,20,27],hinton:[],hip:17,hire:0,hist:[4,6,7,23],histogram:[0,6,7,23],histor:[7,11],histori:[3,4,12],histplot:[],hit:[],hitherto:5,hjorth:[24,26,27],hobbi:23,hoc:[5,27],hochreit:[],hoff:25,hold:[1,3,6,13,14],holder:[0,26],holm:[],holomorphic_grad:[2,13],home:0,homepag:[19,20,21,26],homework:[6,13],homogen:[1,3,9,10,13],honchar:2,hop:[],hopefulli:[0,11,23,26],hopfield:[],horizont:11,hors:[3,7],hot:[1,9],hotspot:[],hour:[1,17,22,23,24,26],house_pric:[],how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,23,26,27],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,23,26,27],hspace:[0,4,8,10,21,23,26],hstack:1,htf:[22,26],html:[0,7,9,11,17,19,22,24,25,26],http:[0,3,4,6,7,9,11,13,16,17,18,19,20,21,22,24,25,26,27],huang:[0,26],huber:[0,26],huge:[1,3,4,17],human:[0,1,3,6,9,12,27],humid:9,hundr:1,hungri:1,hurt:[],huse:26,hybrid:22,hydrogen:[0,26],hyper:20,hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,26,27],hyperplan:11,hz:[3,4],i0:[0,26],i1:[0,6,8,12,26,27],i2:[0,8,12,26],i3:[0,12,26],i5:[0,26],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,26,27],i_1:[5,6],i_2:[5,6],i_:13,i_j:[],ia:[],ian:25,ic:[1,20],iclr:[],icml:[],id3:[],id:[7,13],ida:[24,26],idea:[0,1,2,3,4,6,9,10,12,13,18,19,20,21,27],ideal:[0,2,6,8,13,23,26],idem:6,ident:[5,6,12,13,18,19,27],identical:[],identifi:[0,1,7,9,11,12,13,14,26,27],idx:[],ieor:23,ifft2:[],ifi:25,ifs:[17,26],ignor:[0,1,3,9,27],ii:[18,23],iii:[18,26],ij:[0,1,3,6,8,12,14,16,18,19,23,26,27],ijad:[],ik:[0,18,26,27],ill:[],illustr:[5,7,10,12,13,14,17,26],ilsvrc:[],im:6,imag:[1,3,4,6,9,11,12,14,20,25,26],image_at_epoch_:4,image_batch:4,image_height:3,image_of_cute_dog:[],image_path:[0,6,7,9,26,27],image_shap:[],image_width:3,imageio:[6,19],imagenet:[],images_from_seed_imag:4,imagin:1,img:[],img_fft:[],img_height:[],img_path:[],img_width:[],imit:[],immedi:[0,3,4,6,15,17,26],impact:[],imper:[],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,19,20,21,23,26,27],impli:[3,5,6,7,13,18,27],implicit:3,implicitli:[11,23],importantli:3,importerror:[],impos:[0,6,11,12,26],imposs:[0,5,26,27],impress:[0,12,26],improv:[0,4,5,9,10,11,13,19,20,21,27],impur:9,imread:[6,19],imshow:[1,3,4,6,19],in1:[],in2:[],in3050:[25,26],in3310:26,in4050:[],in4080:[25,26],in4300:[25,26],in4310:25,in5400:3,in5550:25,in_out_neuron:4,inaccur:13,inact:12,inadequ:[0,26],inbetween:[],inch:[6,27],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,19,20,21,23,24,25,26,27],include_bia:[6,9],inclus:[],incom:12,inconveni:[],incorpor:[],incorrect:1,incorrectli:[],incoveni:8,increas:[0,1,3,4,5,6,7,8,9,11,12,13,19,21,23,26,27],increasingli:23,increment:[],ind:6,inde:[0,2,4,5,6,13,26,27],indefinit:4,independ:[0,5,6,7,8,12,13,23,26,27],index:[0,1,3,4,10,14,17,18,20,23,25,26],index_col:[0,26],indic:[0,1,3,4,5,6,9,10,11,13,16,19,20,26,27],indispens:6,individu:[1,6,7,10,12,23,26,27],indu:0,indx1:2,indx2:2,indx3:2,indx:18,ineffici:[3,13],inequ:[8,13],inequaltii:[],inertia:13,inf1000:[17,26],inf1100:[17,26],inf1100l:[17,26],inf1110:[17,26],inf3000:26,inf5860:[],infeas:9,infer:[0,1,4,6,25,26],infer_nrow:0,inferenc:1,infil:[0,6,7,9,26],infin:[5,6,7,11,27],infinit:3,infinitesim:23,influenc:[6,10],influenti:1,info:26,inform:[0,1,3,4,6,9,11,12,13,14,18,19,20,21,25,26],infti:[3,6,13,23],ingeni:13,ingrad:2,ingredi:[0,9,26],inher:6,inherit:[18,26],init:[],initi:[0,1,2,6,10,13,14,18,20,21,23,26],initial_epoch:[3,4],initialis:[],inititi:[],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],inner:[0,13,27],inp:4,inplac:13,input:[0,1,3,4,5,6,7,8,10,12,13,14,19,20,21,23,26,27],input_channel:[],input_channel_index:[],input_dim:1,input_grad:[],input_index:[],input_map:[],input_nod:[],input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,27],insert:[3,5,6,8,10,23,27],insid:[0,4,7],insight:[0,1,5,17,20,26,27],insightful:[],insist:[6,13,27],inspect:[],inspir:[0,1,12,20,26],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,26,27],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,18,19,23,26,27],institut:1,instruct:[0,1,15,16,26],insuffici:[],int32:10,int64:[],int64index:[],int_0:23,int_:[3,6,23],int_a:23,intak:[0,27],integ:[1,2,13,14,18,23,26],integer_vector:1,integr:[3,6,23,26],intellectu:[],intellig:[0,14,25,26],intend:10,intens:[1,20],intention:14,inter:[],interact:[0,6,9,12,17,19,20,21,26],intercept:[0,6,8,11,13,16,19,26],intercept_:[0,6,8,9,13,26,27],interceptol:[],interceptridg:[],interchang:[5,12,18],interconnect:1,interdisciplinari:[],interest:[0,1,2,3,4,5,6,7,8,9,12,17,19,20,21,23,26,27],interfac:[0,1,18,27],interior:[0,9,26],intermedi:[18,27],intern:[1,10,12],interpol:[1,3,4,6,12,19],interpr:[5,27],interpret:[0,1,6,9,10,12,13,18,19,20,21,23],intersect:[],interv:[0,3,5,6,7,13,19,23,26,27],interview:[],intial:13,intiat:[],intiti:[],intract:[0,4,27],intric:[],intricaci:[],intrins:[3,11,18,23,26],intro:[17,25,26],introduc:[0,1,5,6,8,10,12,18,19,23,26],introduct:[1,2,4,13,25,27],introductori:[0,4,18,25,26,27],intuit:[0,5,6,8,12,13,19,26],intuiton:[],inv:[0,5,13,26,27],invalid:8,invalu:[0,13,15,17,26],invari:1,invd:5,invent:[],inver:8,invers:[0,3,6,13,15,16,19,20,26,27],inverse_transform:8,invert:[0,5,7,10,13,26],investig:[],invh:13,invok:[0,8],involv:[0,2,6,7,11,12,27],io:[0,17,19,22,24,25,26,27],ion:[],ip:[0,8,23,26],ipca:11,ipykernel_10904:[],ipykernel_10962:[],ipykernel_11016:[],ipykernel_11057:[],ipykernel_11068:[],ipykernel_11090:[],ipykernel_11106:[],ipykernel_11118:[],ipykernel_11123:[],ipykernel_12649:[],ipykernel_15302:1,ipykernel_15329:[],ipykernel_15405:6,ipykernel_15458:13,ipykernel_15499:19,ipykernel_15510:[],ipykernel_15532:[],ipykernel_15547:[],ipykernel_15558:[],ipykernel_15572:[],ipykernel_18986:[],ipykernel_19041:[],ipykernel_19107:[],ipykernel_19139:[],ipykernel_19152:[],ipykernel_19176:[],ipykernel_19181:[],ipykernel_19201:[],ipykernel_19294:[],ipykernel_19329:[],ipykernel_19344:[],ipykernel_19367:[],ipykernel_19394:[],ipykernel_19431:[],ipykernel_19440:[],ipykernel_21437:26,ipykernel_31563:[],ipykernel_31624:[],ipykernel_31672:[],ipykernel_31707:[],ipykernel_31718:[],ipykernel_31736:[],ipykernel_31749:[],ipykernel_31761:[],ipykernel_31766:[],ipykernel_31871:[],ipykernel_44857:[],ipykernel_74401:[],ipykernel_74620:[],ipykernel_74630:[],ipykernel_8624:[],ipykernel_8674:[],ipykernel_8738:[],ipykernel_87501:[],ipykernel_8779:[],ipykernel_8790:[],ipykernel_8815:[],ipykernel_8843:[],ipykernel_8855:[],ipykernel_8861:[],ipykernel_96069:[],ipynb:[17,26],ipython:[0,5,7,9,11,14,15,17,19,20,21,26,27],iq:6,iri:[8,9],irreduc:6,irrelev:[5,27],irrespect:[0,26],irvin:[20,21],isbox:13,iseffici:[],isinst:[],isn:5,isnan:[],isnul:0,isol:[],isomap:11,isotop:26,issu:[1,9,18],it_arrai:13,item:[0,13,26],items:[18,26],iter:[1,2,3,4,6,7,8,9,11,13,14,23],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,23,26],itself:[5,6,12,19,20,21,23,27],iv:[],ix:[],j1:18,j6p8yfhx1mv_0grj5xl4650h0000gp:[],j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,18,19,23,25,26,27],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknif:[6,17,26],jacobian:[2,13],jacobian_shap:[],jakobsen:24,jason:4,jax:[17,20,26],jax_descend_i:[],jax_descend_x:[],jax_enable_x64:[],jax_grad:[],jd:[],jensen:[24,26,27],jerom:[19,25],ji:[12,18],jit:13,jj:[0,5,6,26],jk:[0,1,6,12,18,26],jl:[0,26],jm:18,jmlr:[],jnp:13,job:[2,8,10],johansen:26,join:[0,4,6,7,9,26,27],joint:[4,5],journal:[],jpg:[],jr:[],judg:13,judgement:[6,19],julia:[17,18,19],jump:[19,23],junk:4,jupit:26,jupyt:[0,15,17,19,25,26],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,19,20,21,23,26,27],justif:0,justifi:[3,10],k0:7,k1:7,k:[0,1,3,5,6,7,8,9,10,11,12,13,14,17,18,19,21,23,24,26,27],k_1:[],k_2:[],k_half_height:[],k_half_width:[],k_j:[],k_n:[],k_x:[],k_y:[],kaggl:[6,19,20,21],kai:[],kajda:[],kappa_d:23,karl:[24,26],karush:8,kate:[],katrin:[24,26],keep:[0,1,4,5,6,11,13,14,18,19,20,21,26,27],keepdim:[1,6,10,18],kei:[0,1,3,6,12,27],kept:[4,6,14],ker1:[],ker2:[],ker_coef:[],kera:[0,4,17,19,20,21,26],kernel:[0,1,3,17,26,27],kernel_feature_maps_index:[],kernel_fft:[],kernel_height:[],kernel_input_channels_index:[],kernel_regular:[1,3],kernel_reshap:[],kernel_s:4,kernel_width:[],kernelpca:11,kev:[0,26],kevin:[25,26],keyboardinterrupt:[1,2,3,4],keyword:[6,13,18,19,26],kfold:6,kg:1,ki:18,kick:[1,13],kiener:2,kilomet:[6,27],kind:[0,2,3,4,8,12,13,14,26,27],kj:[6,12,18,27],kjm:[17,26],kkt:8,kl:23,km:[12,26],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,17,26,27],knowledg:[0,17,26],known:[1,3,4,5,6,7,8,9,12,18,19,20,21,23,25,27],kondev:[0,26],kp:23,kpca:11,kristin:[],kroneck:14,kuhn:8,kumar:[],kvalsund:[24,26],kwarg:[0,2,3,4,13],kwd:[0,3,4],kwown:[0,26],l0:7,l1:[0,1,3,7,26],l1_l2:[1,3],l1regl:5,l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,18,19,21,23,26,27],l_1:7,l_2:[7,13,20],l_:18,l_j:12,l_ja:[],la:13,la_i:12,la_k:12,lab:[17,19,21,26],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,17,18,19,20,21,23,26,27],label_encoder_deprecation_msg:[],label_prob:[],labelencod:[7,10],labels:[6,8,9],labels_shuffl:[0,1,27],laboratori:22,lack:[0,26],lagari:2,lagrang:[8,11],lam:[],lambda:[0,1,2,3,5,6,7,8,10,12,13,19,20,23,26,27],lambda_0:11,lambda_1:[5,8,11,27],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,27],lamda:1,land:[0,8],landmark:8,landscap:13,langl:[0,6,11,23,26,27],languag:[0,1,4,8,15,17,18,19,20,21,25,26],lapack:[18,26],laplac:5,laptop:17,larg:[0,1,2,4,5,6,8,9,10,11,13,15,17,18,19,21,23,25,26,27],larger:[0,3,5,6,8,10,11,13,23,26,27],largest:[4,8,11],larn:[],lasso:[0,7,17,21,26],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,10,12,13,18,19,23,24,26],lastli:[],late:[],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,6,7,8,12,13,14,15,17,19,20,21,26],latest:[4,17],latest_checkpoint:4,latex:26,latter:[0,3,6,7,8,11,13,16,18,19,21,23,26,27],lattic:12,law:0,lax_numpi:[],layer:[0,4,13,20,21,26],lbfg:[7,9,10,11],lcc:[5,6],lda:11,ldot:[0,6,11,19,26],le:[5,7,10,13,23,27],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,18,23,26,27],leaf:9,leaki:[1,20],leakyrelu:4,lear:13,learn:[3,4,5,6,7,8,9,10,12,18,22,24,25],learnabl:3,learner:10,learnig:26,learning_r:[3,8,10],learning_rate_init:[0,1,26],learning_schedul:13,learnt:[19,20,21],least:[0,7,8,10,11,15,16,17,18,20,21,23],leat:13,leav:[0,1,3,5,6,9,11,26],lectur:[0,1,5,10,11,12,13,15,17,18,19,20,21,22,24,25],lecture_11_backpropag:[],lecturenot:[0,17,19,25,26],led:[],lee:[],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,18,19,23,26,27],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,26,27],len:[0,1,2,3,4,5,6,8,9,10,11,12,18,26,27],len_index:0,lenght:[],length:[0,1,2,3,4,8,9,13,16,17,21,26,27],length_of_sequ:4,leq:[0,5,7,8,13,14,21,23,26,27],less:[0,1,3,4,5,6,8,9,13,17,23,26,27],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,23,26,27],letter:[0,16,18,23,26,27],level:[0,1,5,6,9,17,18,19,20,21,22,24,26],lfloor:[],li:[8,11],lib:[0,2,3,4,6,7,8,9,11,13,26],liblinear:[8,10],librari:[0,1,2,3,4,5,6,9,10,11,15,18,19,20,21,23,25,27],licens:[0,1,15,17,19,20,21,26],lie:[0,6,11,23,26,27],life:[0,1,8,12,26],lifetim:13,light:[],lightweight:[],like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,19,20,21,23,26,27],likelihood:[0,1,5,9,26,27],lim_:23,lima:24,limit:[0,5,6,7,8,9,11,12,18,19,20,21,26,27],lin_clf:8,lin_model:0,lin_reg:9,linalg:[0,2,5,6,8,11,13,18,23,26,27],line1:8,line2:8,line2d:13,line3:8,line:[0,1,2,3,4,6,8,10,11,13,19,21,26,27],linear:[1,3,5,6,7,9,10,11,12,17,19,21,23],linear_model:[0,5,6,7,8,9,10,11,13,26,27],linear_regress:6,linearli:[5,27],linearloc:[6,13,19],linearregress:[0,6,7,9,26,27],linearsvc:8,lineat:[],liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10,19],link:[0,4,9,12,17,19,20,21,24,26],linlag:5,linpack:[18,26],linreg:[0,26],linspac:[0,2,3,4,6,8,9,10,13,15,16,18,23,26,27],linu:4,linux:[0,1,15,17,19,21,26],liquid:[0,26],list:[0,1,2,3,4,9,17,19,20,21,26,27],listcomp:[],listedcolormap:[9,10],literatur:[1,7,14,21,25],littl:[1,3,9,12],live:8,ll:[0,23,26,27],lle:[0,27],lloyd:[4,14],lmb:[0,2,5,6],lmbd:[0,1,3,26],lmbd_val:[0,1,3,26],lmbda:13,ln:[1,13],load:[0,1,4,6,7,9,10,19],load_boston:0,load_breast_canc:[1,7,9,10,11],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],loc:[0,3,6,7,8,9,10,26],local:[0,1,2,3,4,7,12,13,27],locat:[2,3,8],lock:[3,4],log10:[0,5,6],log2:[],log:[0,1,2,4,5,6,7,9,10,11,13,18,19,20,21,26,27],log_:[0,26],log_clf:10,logarithm:[0,5,7,18,26],logbook:[19,20,21],logic:[0,1,9,26],logist:[0,1,2,8,9,10,11,12,13,17,21,27],logistic_predict:[],logistic_regress:[],logisticregress:[7,9,10,11],logit:7,logloss:[],logreg:[7,9,10,11],logspac:[0,1,3,5,6,26],longer:[2,3,8,10,14,18,20,23,26],loocv:6,look:[0,1,2,3,4,5,6,7,8,9,10,11,13,16,18,19,20,21,23,26,27],loop:[1,4,6,10,12,14,17,18,26],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,18,19,20,21,26],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6],low:[0,6,9,10,11,19,20,26,27],lower:[0,1,3,6,9,10,16,18,27],lowercas:[18,26],lowest:[9,13,23],lr:[1,3,4,10],lrelu:[],lstat:0,lstm:4,lstm_2layer:4,lstsq:[0,26,27],lt:6,lu:[0,5,26,27],lubksb:18,luckili:2,ludcmp:18,lux:18,lvert:1,lw:[0,26],m1:[3,4],m:[0,1,2,3,5,6,8,9,10,11,12,13,18,22,23,24,25,26,27],m_1:14,m_:[9,12],m_h:[0,26],m_k:14,m_l:12,m_n:[0,26],m_p:[0,26],m_t:13,ma:11,machin:[1,3,4,5,6,7,9,10,11,12,15,18,22,25,27],machinelearn:[0,6,16,17,19,22,24,25,26],mackai:25,made:[0,1,3,4,5,6,7,9,11,12,19,20,21,26,27],mae:[0,26],magic:4,magnitud:[1,6,7,13,27],mai:[0,1,2,3,5,6,7,8,9,11,12,13,17,18,19,20,21,23,26,27],mail:[22,24],main:[0,1,3,4,5,6,7,9,18,19,20,25,27],mainli:[0,5,6,7,9,21,26,27],mainstream:[],maintain:6,major:[1,6,9,10,13,18,26],make:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,20,23,25],make_axes_locat:6,make_classif:[],make_moon:[8,9,10],make_pipelin:[0,6,10,27],make_vjp:[2,13],makedir:[0,6,7,9,26,27],makeplot:[0,26],malcondit:18,malign:[1,7,9],mammographi:5,manag:[0,2,3,15,17,19,21,26],mandatori:[24,26],mani:[0,1,3,4,5,6,7,8,9,11,13,14,17,18,19,20,21,23,25,26,27],manifold:11,manner:3,manual:[6,27],map:[0,1,2,6,7,8,11,12,14,19,23,26],marc:27,march:[],margin:[0,5,8],maria:[],marit:[0,26],mariu:[],mark:26,markedli:[],marker:[0,7,18,26],markov:[17,26],marsaglia:23,mass:[0,1,5,13,27],massag:[0,26],masses2016:[0,26],masses2016ol:[0,26],masses2016tre:0,masseval2016:[0,26],master:[6,16,19,22,24],mat1100:[17,26],mat1110:[17,26],mat1120:[17,26],mat:[17,21,26],match:[0,1,4,5,13,14,27],materi:[4,5,7,13,18,21,24],math:[3,7,12,13,18,23,25,26],mathbb:[0,4,5,6,7,8,11,12,13,14,18,19,23,26,27],mathbf:[0,5,6,7,8,13,18,19,26,27],mathcal:[1,5,6,7,13,19],matheemat:3,mathemat:[0,6,11,12,13,17,18,23,25,26],mathemati:26,mathmlbook:16,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,19,23,26,27],matmul:[1,2,5],matnat:25,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,21,23,26,27],matplotlibdeprecationwarn:[6,13,19],matric:[0,1,3,4,6,7,8,11,13,16,17,27],matrix:[0,2,3,4,6,7,8,10,13,15,16,19,20,21,23],matshow:1,matter:[2,3,13,27],max:[0,1,2,3,4,9,10,12,13,24,26],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_h:[],max_it:[0,1,7,8,9,11,13,26],max_iter:14,max_leaf_nod:10,max_pooling2d_49:[],max_pooling2d_50:[],max_queue_s:[3,4],max_sampl:10,max_w:[],maxdegre:[0,6,10,27],maxdepth:10,maxim:[1,4,5,7,8,11],maximum:[0,2,3,5,7,8,9,10,13,14,26,27],maxpolydegre:[5,6],maxpoolin:[],maxpooling2d:3,mbox:[5,6,19,27],mccorduck:[],mcculloch:12,md:[11,19],mdoel:4,mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,26],mean_absolute_error:[0,26],mean_divisor:14,mean_i:23,mean_matrix:14,mean_squared_error:[0,4,6,7,10,26,27],mean_squared_log_error:[0,26],mean_vector:14,mean_x:23,meaning:[0,4,7,26],meansquarederror:[0,26],meant:[2,3,7,10,13],measur:[0,1,2,5,6,9,11,12,14,19,20,23,26,27],mechan:[0,4,21,23,26],median:[0,26,27],medicin:12,medium:[4,8,13,20],medv:0,meet:[0,24],mehta:[0,20,26,27],mek4270:21,member:[],memori:[3,4,11,12,13,18],mention:[0,12,13,19,20,21,23,26],mere:[0,15,20,26],meshgrid:[2,5,6,8,9,10,11,19,27],messag:[5,13],messi:2,met:[0,3,8,27],metal:[3,4],meteorolog:[9,21],meter:[6,27],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,20,21,23,25,27],metion:[6,19],metric:[0,1,3,6,7,9,10,14,15,16,26,27],metropoli:[17,26],mev:[0,23,26],mgd:13,mglearn:[17,26],mgrid:13,mhjensen:[2,3,6,7,8,9,11],mi:10,mia:[24,26],michael:20,michigan:26,microsoft:25,mid:1,midel:4,midnight:16,midpoint:9,might:[0,1,2,4,6,9,13,27],mild:9,mileston:[],millimet:[6,27],million:[0,26,27],mimic:12,min:[0,2,5,8,9],min_:[0,2,5,14,26,27],min_samples_leaf:9,mind:[0,6,13,19,26,27],mindboard:4,mine:[17,26],mini:[1,11,12,13,20],minibatch:[1,11,13],minibathc:13,miniforge3:[0,2,3,4,6,7,8,9,11,13,26],minim:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,19,27],minima:[0,1,7,13,26],minimum:[0,1,2,6,8,9,11,13,27],minmaxscal:[0,27],minor:[6,13,19,23],minst:1,minu:7,mirjalili:26,mirror:9,misc:[6,19],misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10],mistak:4,mistakenli:[],mit:25,mix:[1,2,26],mixtur:13,mk:[9,18],mkdir:[0,6,7,9,26,27],ml:[0,1,10,13,18,19,20,21,27],mlab:23,mlbook:26,mle:[5,7],mlp:1,mlpclassifi:1,mlpregressor:[0,26],mm:18,mml:27,mn:[12,23],mnist:[1,11,20],mnist_784:[],mod:23,mode:[22,24,26],model:[2,3,5,7,8,9,10,11,13,14,15,16,17,19,23,25,27],model_select:[0,1,3,5,6,7,9,10,11,26,27],moder:10,modern:[0,6,7,17,26],modif:[2,12,13],modifi:[0,1,3,5,7,8,10,12,13,26,27],modul:[0,7,9,11,18,26],modular:23,modulo:23,moe:[11,27],moment:[5,6,13,23],moment_correct:[],momentum:20,momentum_schedul:[],mondai:26,monitor:13,monochrom:[],monoton:[5,12,23],mont:[0,6,17,23,25,26],moor:[5,6],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,17,20,21,23],moreov:[0,3],morten:[24,26,27],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,19,23,26,27],mostli:[1,11],motion:[0,13],motiv:[1,4],mouth:[],move:[0,4,5,6,7,9,12,13,14,19,23,27],mpl:[0,7,26],mpl_toolkit:[2,6,13,19],mplot3d:[2,6,13,19],mplregressor:1,mse:[0,4,5,6,9,10,15,16,19,20,21,26,27],mse_simpletre:10,mselassopredict:5,mselassotrain:5,mseownridgepredict:6,msepredict:5,mseridgepredict:[0,5,6],msetrain:5,msg:0,msle:[0,26],mt:[7,12],mu0:23,mu1:23,mu2:23,mu:[0,6,11,13,23,26],mu_1:27,mu_:[6,23,27],mu_i:[6,27],mu_n:11,mu_x:23,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,18,19,21,23,26,27],multi:[0,1,3,7,17,26],multiclass:[1,7],multidimension:[11,12,26],multiindex:[],multilay:1,multinomi:7,multipl:[2,4,5,6,7,12,13,23,27],multipli:[3,5,6,11,13,18,23,27],multiplum:8,multivari:[0,2,10,11,17,23,26],multivariate_norm:[11,14],multiwai:[],murphi:[11,25,26],must:[0,1,2,5,6,8,10,12,13,14,23,27],mut_add:[],mutabl:[],mutat:7,mutual:[1,3,6,13],mx_:23,myenv:[0,2,3,4,6,7,8,9,11,13,26],myriad:[0,15,17,26],mz1:23,mz2:23,n1:18,n2:18,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,19,20,23,26,27],n_0:[12,23],n_:[1,2,3,8,12,23],n_boostrap:[6,10],n_bootstrap:6,n_categori:[1,3],n_cluster:14,n_compon:11,n_epoch:13,n_estim:10,n_examples_to_gener:4,n_featur:1,n_filter:3,n_hidden:2,n_hidden_neuron:[0,1,26],n_i:23,n_input:[0,1,3,27],n_instanc:9,n_iter:[],n_iter_i:[7,9,11],n_job:10,n_k:14,n_l:[12,23],n_layer:1,n_m:9,n_neuron:1,n_neurons_connect:3,n_neurons_layer1:1,n_neurons_layer2:1,n_point:14,n_sampl:[6,8,9,10,14],n_split:6,n_step:4,n_t:2,n_x:2,na:[],nabla:[1,13],nabla_:[2,13],nabla_w:13,nafter:[],nag:13,naimi:[0,26],naiv:7,naive_kmean:14,najafi:[24,26],nall:0,namd:[],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,17,18,19,21,23,24,26,27],nameerror:[6,10,19],nan:[],narrow:13,nary_f:[2,13],nary_op_arg:[2,13],nary_op_kwarg:[2,13],nary_oper:[2,13],nation:[1,5],nativ:[17,26],natur:[0,1,4,8,9,12,13,19,20,21,23,25,26],navier:12,nb:23,nb_:18,nbconvert:26,nd:14,ndarrai:[2,6],ndef:13,nderiv:[],ne:[9,10,18,23,27],nearest:[1,3,6,11],nearli:13,neat:26,neatli:[],neccesari:6,necess:2,necessari:[0,1,3,4,8,14,26],necessarili:[0,4,11,23,26],necesserali:5,necessit:[],neck:7,need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,27],neg:[0,1,3,5,6,7,10,13,18,23,26],neg_mean_squared_error:6,neglect:23,neglig:23,neighbor:[3,6,11],neither:[4,13],neq:[13,14,23],nerual:[],nervou:12,nest:[2,9,12],nesterov:13,net:[2,4,12],netlib:[18,26],network:[0,9,13,17,25,27],networkd:21,neural:[0,13,17,25,27],neural_network:[0,1,2,26],neuralnetwork:1,neuralnetworksanddeeplearn:[],neuron:[1,2,3,4,12],neutral:[0,26],neutron:[0,26],never:[1,3,4,6,9,23],new_box:13,new_chang:13,new_hobbit:26,new_root:13,new_trac:13,new_tracing_count:[3,4],new_windows_first_dim:[],new_windows_sec_dim:[],newaxi:[0,3,6,9],newli:[0,26],newton:[1,7,8,13,23],next:[0,1,2,3,4,5,6,8,9,13,14,26,27],next_guess:13,next_input:4,next_nod:[],nf8_grad:13,nfrom:13,ng:1,ngini:9,nhow:[],ni:14,nice:[0,1,5,11,26,27],nielsen:20,nimport:13,nip:[],niter:13,nitric:0,nlambda:[0,5,6],nlp:25,nm:23,nm_n:[0,26],nmnm:[],nmse:6,nn:[2,5,6,12,18],nn_model:1,nnmin:2,node:[1,2,3,9,10,12,20,21],node_constructor:[],node_index:[],nois:[0,4,5,6,8,9,10,13,15,16,19,26,27],noise_dimens:4,noisi:[1,6,19],non:[0,1,3,4,5,6,7,9,10,11,12,13,14,18,19,23,26,27],noncommerci:[20,21],none:[0,1,2,3,4,5,9,10,13,23,26,27],nonetheless:[],nonlinear:[3,6,8,9,11,12],nonneg:[6,9,13],nonparametr:6,nonsens:23,nonsingular:18,nonumb:[3,7,8,13,18],nonxla:[3,4],nor:[1,4,13],norm:[0,1,5,6,8,11,13,26,27],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,26,27],normali:[18,26],norvig:[],norwai:[6,19,20,21,26],notat:[0,2,5,6,13,14,23,26,27],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,23,25,26],notebook:[0,1,3,9,15,17,19,20,21,26],notesexercise5week452022:[],notessep14:[],notessep28:[],noth:[1,2,5,8,12,14,23,27],notic:[4,5,12,13,18,23,26],notimplementederror:[],notion:3,noutput:[],nov:[20,21],novel:[3,6,10],novemb:[1,22,24,26],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,18,19,20,21,23,26,27],nowadai:[0,1,3,9,17,26],nox:0,np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,19,23,26,27],npr:2,nprint:13,npv:[],nsampl:[6,9],nt:2,nthi:0,ntrained_model:6,nu:23,nuclear:[5,27],nuclei:[0,23,26],nucleon:[0,26],nucleu:[0,26],num:4,num_allow_arg:0,num_class:[],num_coordin:2,num_equ:[],num_hidden_neuron:2,num_it:2,num_iter:[],num_neuron:2,num_neurons_hidden:2,num_not:[],num_output:[3,4],num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,24,26],numberid:7,numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,18,25,26,27],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,23,27],numpy_vjp:[],numpy_wrapp:[],nunmpi:[5,27],nvalu:9,nx:[2,13],nx_test:6,nx_train:6,nx_train_mean:6,ny:23,ny_pr:6,ny_train:6,ny_train_mean:6,nz:[],o:[0,6,7,8,9,11,15,18,24,25,26],o_j:[],obei:[6,11,13,27],object:[0,1,2,4,6,8,10,13,18,26],obliqu:[5,27],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,23],obtain:[0,1,5,6,7,8,9,10,12,13,14,18,19,20,23,26,27],obviou:[5,6,11,23,27],obviouli:26,obvious:[0,4,5,6,18,20,26],oc:27,occas:[],occasion:[],occupi:0,occur:[0,6,8,9,18,23,26],occurr:[],oct:[],octob:[22,24,26],od:[0,21],odd:[0,3,7,26,27],odenum:2,odesi:2,odin:26,oen:0,off:[1,3,4,5,9,13,23],offer:[6,11,17,18,22,24,26],offic:[24,26],offici:[22,26],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,23,26,27],oftentim:[],ofter:[18,26],og:[],ol:[0,13,15,16,20,26,27],old:[1,5,10,13],oldest:[],ols_fit:[],ols_fit_beta:[],ols_sk:6,ols_svd:6,olsbeta:[0,5],omega:[2,3,6],omega_0:3,omiss:[],omit:[0,5,26,27],on_train_batch_begin:[3,4],onc:[1,6,9,11,13],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,17,18,19,20,21,23,24,26,27],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,18,19,21,26,27],ones_lik:4,ong:27,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,26,27],onlin:[11,22],onto:[5,11,27],op_nam:[3,4],open:[0,1,4,6,7,9,15,17,19,21,22,24,26],oper:[0,1,3,5,6,10,11,12,13,15,17,23,26,27],operation:23,oplu:23,opmiz:13,opportun:0,oppos:[6,13],opposit:[1,5,8,27],opt:[1,5,20,21,26],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16,19,20,21],optimis:[1,3],optimist:[],optimizer_v2:3,option:[0,1,3,5,6,7,8,9,11,18,19,20,27],optionalxlacontext:[3,4],optmiz:[1,8,13,27],oral:26,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,18,19,20,21,23,26,27],ordinari:[0,2,3,7,11,13,15,16,17,20,21],ordinrari:[],oreilli:[25,26],org:[0,3,4,7,9,11,17,18,25,26],organ:[6,7,10,18],orient:[1,5,23,27],origin:[0,3,5,6,8,11,12,13,18,26,27],original_imag:[],orthogn:[5,27],orthogon:[0,5,6,8,11,13,18,26,27],orthonorm:[5,27],os:[0,1,4,5,6,7,8,9,24,26,27],oscar:1,oscil:[3,13],oslo:[0,15,17,19,20,21,22,24,26,27],osx:[0,15,17,19,21,26],other:[0,1,2,3,5,6,7,8,10,13,14,15,17,19,20,21,22,23,24,25],otherwis:[0,1,4,7,13,18,20,26],ouput:[5,7,12],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,19,20,23],ourmodel:0,ourselv:[0,5,6,8,11,13,21,26,27],out1:[],out2:[],out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,23,26,27],out_deriv:[],out_fil:9,out_h:[],out_w:[],outcom:[0,7,9,10,12,23,27],outdoor:9,outer:[6,12,13],outfil:4,outgrad:2,outlier:[0,8,26,27],outlin:[6,10,11],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,18,19,20,21,23,26,27],output_bia:1,output_bias_gradi:1,output_func:[],output_grad_tr:[],output_lay:[],output_nod:[],output_shap:4,output_weight:1,output_weights_gradi:1,outputlay:[],outputlayer1:12,outputlayer2:12,outsid:4,over1:13,over:[0,1,3,4,5,6,9,10,12,13,18,19,26,27],overal:[1,10],overcast:9,overcom:[12,13],overdetermin:[0,26],overfit:[0,1,3,6,9,10,13],overflow:[1,5],overflowerror:[],overhead:12,overlap:[3,7,8,9],overlin:[0,5,6,9,10,11,14,18,26,27],overst:0,overtrain:4,overview:3,overwritten:[],own:[4,5,6,8,12,13,17,18,19,21],owner:0,ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6],ownypredictridg:0,ownytilderidg:0,oxid:0,p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,23,26,27],p_1:[],p_2:[],p_:[2,4,8,9],p_hidden:2,p_i:[5,23],p_j:23,p_n:23,p_output:2,p_x:23,pack:[0,26],packag:[0,1,2,3,4,5,6,7,8,9,11,13,15,17,19,20,21,23,27],packtpub:26,packtpublish:26,pad:[3,4],pad_imag:[],padded_height:[],padded_imag:[],padded_img:[],padded_width:[],page:[0,17,26],pai:[0,1,9,13],paid:21,pair:[0,2,3,9,17,23,26],pamilla:[],panda:[0,4,5,6,7,9,11,15,17,19,21],panel:26,paper:1,paradigm:[0,26],parallel:[3,4,10,13,17,18,26],param:[2,4],param_distribut:[],param_grid:[],paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,19,20,21,23],parameter:[0,6,10,19,26,27],parametr:[0,6,15,16,26,27],paramt:[3,5],parent:2,parent_argnum:[],parser:0,part:[0,1,3,5,6,10,18,22,23,24,26],partial:[0,1,5,6,7,8,10,11,12,13,16,23,26,27],particip:[17,22,24,26],particl:[0,4,13,23,26],particular:[0,1,2,3,5,6,9,10,11,12,13,16,19,23,25,26,27],particularli:[5,6,8,11,13,23,27],partit:[1,4,9],partli:[6,26],pass:[2,3,12,14],password:[19,20,21],past:[10,23],patch:[6,23],path:[0,4,6,7,9,15,17,26,27],pathcollect:[],patient:7,patter:4,pattern:[0,3,4,12,21,22,25,26],pauli:[0,26],pavisj:[],pc:[11,17],pca:[0,7,17,26,27],pcolor:6,pcolormesh:6,pd:[0,4,5,6,7,9,11,26,27],pde:[2,21],pdf:[0,3,4,5,6,9,16,19,20,21,25,26],pedagog:[0,26,27],peel:[],penal:[6,27],penalti:[6,13,19,27],penros:[5,6],pentagon:13,peopl:[0,1,9,13,17],per:[0,1,6,22,24,26],perc_print:[],percentag:[0,10,11,24],perceptron:[0,1,7,26],peregrin:26,perfect:[0,1,13,26],perfectli:[4,6],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,23,26,27],performac:4,perhap:[0,5,13,21,26,27],perimet:[1,9],period:[1,4,23],permut:11,persist:13,person:[5,6,7,22,24,26,27],perspect:[21,25],pertin:[12,20,26],petal:[8,9],peter:[25,27],phantom:23,phase:[6,12],phd:[],phenomena:23,phi:8,phi_k:8,philosophi:13,phone:[24,26],photo:4,photon:[],php:20,phrase:[0,26],physic:[0,1,4,7,12,13,20,21,23,24,25,26,27],physicist:20,pi:[2,3,5,6,7,9,12,13,21,23],pick:[1,9,10,11,13,14],pickl:1,pictur:[0,26],pie:[17,26],piec:[11,14],pillow:[0,15,17,19,21,26],pinv:[5,6,13,27],pip3:[0,1,15,19,21,26],pip:[0,1,15,17,19,21,26],pipelin:[0,6,8,10,27],pippin:26,pit:4,pitfal:[6,27],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,18,19,21,26],placement:[],plai:[0,3,4,5,6,8,11,17,26,27],plain:[8,10,12,13,14,20],plan:[6,9,24,25,26],plane:[8,9],plateau:5,platform:[3,4,17,26],plausibl:12,pleas:[6,7,9,11,13,19,20,21,24,26],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,26,27],plot_confusion_matrix:[7,10],plot_convolution_result:[],plot_count:6,plot_cumulative_gain:[7,10],plot_data:1,plot_dataset:8,plot_decision_boundari:[9,10],plot_import:10,plot_max:4,plot_min:4,plot_model:4,plot_numb:4,plot_predict:8,plot_regression_predict:9,plot_result:4,plot_roc:[7,10],plot_surfac:[2,6,13,19],plot_train:9,plot_tre:[9,10],plqvvvaa0qudcjd5baw2dxe6of2tius3v3:[],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],plu:[0,3,5,7,26,27],pm:8,pmatrix:2,pml:25,pn:3,png:[0,4,6,7,9,26,27],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,19,21,23,24,26,27],point_1:4,point_2:4,poisson:[17,23,26],poli:[6,8],poll:[],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:13,poly_degre:[],poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,27],polygon:13,polym:12,polymi:19,polynomi:[0,5,6,7,8,9,10,11,15,16,19,20,26,27],polynomial_featur:6,polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,27],polytrop:[0,6,26],pool:3,pool_siz:3,poolin:[],pooling2dlay:[],pooling_act:[],pooling_lay:[],poor:[1,13],poorli:[0,27],pop:[],popul:[0,5,26,27],popular:[0,1,3,6,7,8,9,11,12,15,17,18,19,21,23,27],popularli:[0,26],portabl:10,portion:[11,13],pose:[0,4,5,6,11,23,26],posit:[0,1,2,3,5,7,8,10,11,13,14,18,23,26,27],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,19,20,21,23,24,26,27],possible_gradient_typ:[3,4],possible_gradient_types_non:[3,4],possibletapegradienttyp:[3,4],post:[],posterior:5,postpon:[0,26,27],postscript:[19,20,21],postul:5,potenti:[0,3,5,6,12,13,21,26,27],pott:12,power:[0,1,5,6,8,9,12,13,26,27],pp:[5,6],ppv:[],practic:[0,5,6,7,8,19,20,21,23,27],practition:[0,1,3,26],pre:26,preced:[1,11,12,23],preceed:4,preceq:8,precis:[0,2,5,11,13,18,19,20,21,23,26,27],pred:6,pred_format:[],pred_train:[],pred_val:[],predicit:0,prediciton:[],predict:[0,1,5,6,7,8,9,10,15,16,17,19,21,25,26,27],predict_prob:1,predict_proba:[7,10],predictor:[0,5,6,7,9,10,11,26,27],prefer:[0,1,6,8,9,11,13,15,17,19,20,21,26],prepar:[0,6,18,19,20,21,26,27],preprocess:[0,4,6,7,8,9,10,11],prerequisit:0,prescript:[19,20,21],presenc:13,present:[0,5,6,7,9,12,13,18,19,20,21,23,26,27],preserv:[3,11,18],press:[13,25],presum:[],pretrain:[1,4],pretti:[0,4,8,9,15,17,19,21,26],prev_a:[],prev_centroid:14,prev_g:[],prev_g_flag:[],prev_lay:[],prev_nod:[],prevent:[13,23],previou:[0,1,2,3,4,5,6,8,10,11,12,13,18,19,20,21,23,27],previous:[2,3,9,10,23],previous_nod:[],price:[0,4,9,13],primal:8,primari:[0,7,26],prime:23,primit:[],princip:[0,5,7,17,21,26,27],principl:[0,6,7,8,14,26],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,23,26,27],print_funct:[8,9],print_length:[],printout:[0,26],prior:[0,5,6,26],privat:0,pro:20,prob:[1,23],probabilist:[0,25,26,27],probabl:[0,1,3,4,6,7,10,13,17,26,27],problem:[0,3,4,5,6,7,8,9,10,11,12,16,17,18,19,20,23],probml:25,proce:[0,5,6,7,8,9,10,11,13,18,26,27],procedur:[2,4,5,6,8,10,11,13,19,27],proceed:18,process:[0,2,4,6,9,10,12,13,15,17,18,19,21,23,25,26],processor:[],prod:25,prod_:[1,5,7],produc:[0,3,4,5,6,9,10,11,12,13,17,18,19,21,23,26,27],product:[0,1,3,5,6,7,8,12,13,16,17,18,26,27],profess:[0,26],profession:[],professor:[],profil:[3,4],profile_util:[3,4],progag:20,program:[0,1,4,5,6,8,12,14,15,16,17,18,22,23,24,26,27],programm:18,progress:[1,4,14],prohibit:6,project1:[6,19],project:[0,1,2,3,5,11,13,17,22,24,27],project_root_dir:[0,6,7,9,26,27],promin:12,promis:8,promot:[24,26],prone:9,pronounc:[13,17,26],proof:[0,11,12,13,26],prop:[],propag:[2,3,13,20],proper:[0,2,6,7,19,21],properli:[1,6,8,10,13,19,20,21],properti:[0,1,3,12,13,16,18,26],proport:[0,1,5,9,11,13,16,23,26,27],propos:[1,4,6,10,19,20,21,26],propto:[5,13],proton:[0,26],prove:[3,13],provid:[0,1,3,4,5,6,8,9,10,12,13,15,17,18,19,20,21,23,26,27],proxi:[1,13],prune:9,pseudo:[18,23],pseudocod:[19,20,21],pseudoinv:5,pseudoinvers:[5,6],pseudorandom:[6,23],psycholog:[0,26],pt:13,ptratio:[],publish:21,punish:[0,1,26],pure:[3,9,23],purest:9,puriti:9,purpos:[0,3,10,12,14,26],push:[],put:1,py:[0,1,2,3,4,5,6,7,8,9,11,13,19,26],pycod:26,pydata:17,pydot:9,pyhton2:26,pylab:[0,7,26],pylint:[3,4],pypi:17,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],pythagora:5,python2:[0,15,19,21,26],python3:[0,2,3,4,6,7,8,9,11,13,15,17,19,21,26],python:[1,2,3,4,5,6,8,11,12,13,14,16,19,20,21,23,27],pytorch:[0,17,19,20,21,26],pywrap_tf:[3,4],q:[5,6,8,11,23,27],qp:8,qquad:[2,11,13,18],qr:[5,6,18,27],quad:[1,13,18],quadrat:[0,8,9,13,15,16,26],qualit:[4,9,19,20,21,23],qualiti:[0,9,15,16,17,26,27],quantifi:1,quantil:10,quantit:[0,6,9,19,20,21,26],quantiti:[0,2,5,6,7,9,10,11,12,14,16,18,23,26,27],quantiz:[],quantum:[4,12,21,25,26],quark:[],quartil:[0,27],qubit:[],quench:5,queri:9,question:[0,5,6,9,11,12,13,19,24,26,27],qugan:4,quick:[4,23],quick_execut:[3,4],quickest:[],quickli:[1,3,9,11,13],quit:[1,5,6,9,10,12,27],quot:4,r2:[0,5,6,20,21,26,27],r2_score:[0,26],r2score:[0,26],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,23,27],r_1:9,r_2:9,r_j:9,r_m:9,racial:[],racist:[],rad:0,radial:[0,8,12],radioact:23,radiu:[0,1,9,27],rag:2,rain:9,rais:[0,2,13],ramp:1,ran0:23,ran1:23,ran2:23,ran3:23,rand:[0,4,5,6,9,10,13,15,16,18,26,27],randint:[6,9,13],randn:[0,1,2,5,6,9,11,13,15,16,26,27],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,17,18,19,21,26,27],random_forest_model:10,random_index:13,random_indic:[1,3],random_st:[0,7,8,9,10,11],randomforestclassifi:10,randomizedsearchcv:[],randomli:[1,6,9,13,14],randuniform:[],rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,18,23,26,27],rangl:[0,6,11,23,26,27],rangle_x:23,rank:[5,27],rankdir:4,raphson:[1,8,13],rapid:[],rapidli:0,rare:[1,13,26],raschka:[26,27],rasckha:26,rate:[0,1,2,3,4,8,9,10,12,13,20],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,26,27],ratio:[4,7,9,10,11],ration:[],rational:[0,26],ravel:[5,6,7,8,9,10,11,13,18,27],raw:3,raw_df:[],rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,23],rcond:[0,26,27],rcparam:[0,1,3,7,8,9,10,23,26],re:[2,4,13],reach:[1,4,5,6,7,9,10,11,12,13,14],read:[0,2,3,4,5,6,7,8,11,12,16,18,19,20,21,22,23,25],read_csv:[0,6,7,9,26],read_fwf:[0,26],readabl:[],reader:[0,6,18,23,26,27],readi:[0,1,5,6,8,10,11,12,18,19,26],readili:1,readthedoc:17,real:[0,1,2,4,7,10,11,12,13,18,27],real_loss:4,real_output:4,realist:8,realiti:23,realiz:[1,12],realli:[0,1,26],rearrang:13,reason:[0,1,3,4,10,13,25,26],reassign:1,reat:[],reber:[],recal:[5,6,9,10,11,12,18,23,26,27],recast:3,receiv:[1,3,10,12,23],receiver_operating_characterist:[],recent:[0,1,2,3,4,6,10,13,19,25,26],recept:[3,12],receptive_field:3,recip:[0,6,7,18,19,20,21,26,27],reciproc:5,recogn:[0,4,5,10,26],recognit:[0,1,3,12,22,25,26],recommen:26,recommend:[0,2,3,4,5,6,8,13,15,17,18,19,20,21,25],reconsid:9,reconstruct:11,record:[10,19,20,21,22,24,26],recov:[],rectangl:[9,13],rectangular:[5,27],rectifi:[1,3,12],recur:[0,17,26],recurr:[0,1,17,21,26],recurs:[9,17,18,26],red:[0,3,4,6,8,9],redefin:[0,10,26,27],redefinit:[],reduc:[1,3,5,6,9,10,11,13,26],reduct:[0,10,11,17,23,26,27],refer:[0,1,2,3,5,6,7,9,11,12,13,14,18,19,20,25,26,27],referenc:2,refin:12,refit:6,reflect:[0,1,4,5,19,20,21,23,26],refrain:[],refresh:[17,26],refreshprogrammingskil:26,reg:[10,11],regard:[1,9,13],regardless:12,region:[3,4,6,9,12,19,21],regist:[6,19,23],reglasso:5,regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,17,18,21],regressor:[0,7,10,26],regridg:[0,5,6],regular:[0,3,4,5,6,7,9,13,20,24,26,27],regularis:6,regularizi:[],reilli:[0,15,25,26],reinforc:[0,8,17,26],reiniti:[],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,23,26,27],relat:[0,1,3,4,5,11,13,14,18,21,23,26],relationship:[0,4,9,26],relativeerror:[0,26,27],releas:[1,3,4,6,13,17,19,20,21,26],relev:[0,1,5,7,11,15,17,19,20,21,23,26],reli:[0,6,8],reliabilti:[19,20,21],reliabl:[7,23],relu:[3,4,20,21,26],remain:[1,2,4,6,12,18,23,27],remaind:23,reman:2,remark:1,rememb:[0,8,13,18,19,20,21,26],remind:[0,5,11,13,18,23,27],remov:[0,4,5,6,27],render:[0,26,27],reorder:[5,7,27],reorgan:[0,26],repeat:[0,1,3,4,5,6,9,10,11,13,14,18,19,20,23,26],repeated:26,repeatedli:[0,6,10,13],repet:3,repetit:[6,26,27],rephras:13,replac:[0,1,3,4,5,6,10,12,14,15,16,17,19,20,21,26,27],repli:[],replica:6,repo:[19,20,21],report:26,reportexampl:19,reportsampl:[],repositori:[0,4,19,20,21,26],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,20,23,26,27],represent:[0,1,3,6,23,26],representd:3,reproduc:[0,5,6,9,12,15,16,17,19,23,26,27],repuls:[0,26],request:[0,13],requir:[0,1,3,4,5,6,8,9,11,12,13,18,21,26,27],rerun:[],res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:[6,19],resampl:[0,7,10,17,26,27],rescal:[0,11,12,27],rescu:5,reseach:[6,19],research:[0,4,13,17,21,25,26],researchg:[],resembl:[6,23],reserv:[1,5,6,23],reservoir:[],reset:[],reset_weight:[],reset_weights_independ:[],reshap:[0,1,2,3,4,6,8,9,10,15,16,18,26,27],residenti:0,residu:[0,5,13,26],resiz:[5,27],resolv:[],resourc:26,resourcewarn:[],respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,19,21,23,26,27],respond:12,respons:[0,7,9,12,26,27],rest:[0,5,27],restat:[0,12,26],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,26],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,26],result_ndim:[],retail:0,retain:[5,6,27],rethink:[],retrain:[],retriev:26,return_data:14,return_sequ:4,return_x_i:9,reus:[1,3,6,19,20],reusabl:[],reveal:[0,12,26],revers:[1,18],reversed_lay:[],review:[17,18],revisit:14,revolut:26,reward:[0,4,26],rewrit:[0,3,5,6,7,8,10,11,12,13,18,19,23],rewritten:[2,6,8,10,23],rewrot:13,rf:10,rfloor:[],rgb:3,rgoj5yh7evk:17,rh:6,rho2:[],rho:[0,10,13,26],rho_1:10,rho_2:10,rho_m:10,rich:[0,26],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,17,20,21,26],ridge_fit:[],ridge_fit_beta:[],ridge_sk:6,ridgebeta:5,ridgecv:[],right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,18,19,23,26,27],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,23,26,27],rigor:[0,26],ring:6,rise:[0,26],risk:[0,13,15,16,26],rival:4,river:0,rl:[],rlm:26,rm:[0,23],rmb:[],rms_prop:[],rmse:0,rmsporp:13,rmsprop:[1,3,4,13,20],rnd_clf:10,rng:23,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:23,rntrick2:23,rntrick3:23,rntrick4:23,ro:[0,13,26],robert:[19,25],robust:[0,26],robustscal:[0,27],roc:[7,10,21],rod:21,role:[0,2,5,6,8,17,26,27],roll:6,room:[0,24,26],root:[0,5,9,13,23,27],rot90:[],rot:26,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13],routin:[13,18,26],row:[0,1,2,5,6,7,9,11,18,26,27],rr:[5,27],rrr:[5,27],rubinfeld:[],rug:13,rule:[0,1,5,6,13,19,26,27],run:[0,1,2,3,4,5,6,8,9,11,13,15,17,19,20,21,26,27],runtim:[1,6,14],runtimewarn:[1,6],russel:[],rust:[0,15,17,18,26],rv_frozen:[],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,19,20,21,23,26,27],s_1:6,s_2:[],s_:[3,6],s_i:[6,7],s_j:6,s_k:6,saddl:13,sadli:[],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,18,19,21,23,26,27],said:[6,9,13],sake:[0,5,7,11,26,27],sale:[0,26],sam:26,same:[0,1,2,3,4,5,6,8,9,11,12,14,18,19,21,23,26,27],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,23,26,27],sample_vari:14,sample_weight:[3,4],sampleexptvari:23,samwis:26,sastri:11,satisfactori:[0,26],satisfi:[1,2,3,6,8,13,18,23],satur:[1,6],save:[0,4,6,7,9,13,26,27],save_fig:[0,6,7,9,10,26,27],savefig:[0,4,6,7,9,23,26,27],savetxt:4,saw:[5,27],scalabl:10,scalar:[2,5,6,10,13,27],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,24,26],scale_mean:4,scale_std:4,scaler:[0,7,8,9,10,11,27],scan:[5,7],scari:5,scatter:[0,1,6,7,8,9,14,26,27],scenario:[6,13],schedul:[13,24],scheduler_arg:[],scheduler_bia:[],scheduler_weight:[],schedulers_bia:[],schedulers_weight:[],scheme:[1,13,21],schmidhub:[],scholar:[],schrage:23,schuld:[],scienc:[0,1,10,12,13,17,22,23,24,25],scientif:[0,15,17,19,20,21,26],scientist:[0,26],scikit:[3,5,6,7,8,9,10,13,17,18,19,20,21,22,25],scikit_learn:[0,16],scikitlearn:26,scikitplot:[7,10],scipi:[0,3,5,6,13,15,17,18,19,21,26,27],scl:6,score:[0,1,3,6,7,9,10,11,15,16,19,20,21,24,26,27],scores_kfold:6,scratch:[1,13],sdg:13,seaborn:[0,1,3,6,7,20,26],seamless:[0,15,17,19,21,26],seamlessli:[],search:[0,1,3,5,9,13,26],sebastian:26,sebastianraschka:26,sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,19,20,23,24,26,27],second_correct:[],second_mo:[],second_term:[],secondeigvector:11,secondli:12,section:[4,11,16,18,23,27],sector:0,sedol:[],see:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,23,26,27],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,19,23,26,27],seed_imag:4,seek:[1,2,8],seem:[1,3,4],seemingli:[0,26],seen:[0,1,3,5,10,12,23,26],segment:13,segreg:[],seismic:6,seldomli:[0,26],select:[1,5,6,8,9,10,11,19,20,21,22,23,24,25,26,27],self:[1,3,4,5,26,27],sell:4,semest:[7,22],semi:[8,13],semilogx:6,send:[5,12,13,24,26],senior:[22,24],sens:[0,4,6,8,19,26],sensibl:3,sensit:[0,5,6,9,13,26,27],sent:2,sentdex:[],sentenc:[4,12],sep:[],separ:[0,1,2,4,6,8,9,12,14,15,17,19,21,23,26],seper:[],septemb:[19,26],sequenc:[2,3,4,7,9,10,12,13,17,18,23,26],sequenti:[1,3,4,10,12,23],sequential_49:[],seri:[0,1,2,3,4,5,6,10,11,12,13,18,26,27],serif:[0,7,23,26],serv:[0,1,2,3,5,7,13,19,25,26,27],servic:[19,20,21],session:[1,19,22,24,26],set:[1,4,5,6,7,8,10,11,13,14,16,17,18,19,20,23,24],set_major_formatt:[6,19],set_major_loc:[6,19],set_tick:[1,8],set_ticklabel:1,set_titl:[0,1,2,3,7,12,14,26],set_xlabel:[0,1,2,3,7,12,26],set_xlim:[7,12],set_xticklabel:1,set_ylabel:[0,1,2,3,7,26],set_ylim:[7,12],set_ytick:7,set_yticklabel:[1,6],set_zlim:[6,19],seth:4,setminu:6,setosa:[8,9],setosa_or_versicolor:8,setp:6,setup:[1,4,6,8,17,20,26,27],sever:[0,3,5,6,7,8,9,11,12,13,17,18,20,23,26,27],sgd:[1,3,20],sgd_clf:8,sgdclassifi:8,sgdreg:13,sgdregressor:13,sgn:[5,27],shall:[],shallow:13,shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,26,27],shape_bas:[],share:[1,3,26],she:7,shell:[],shift:[1,6,12,23],ship:3,shire:26,shortcom:13,shorten:4,shorter:23,shorthand:26,shortli:[18,26],should:[0,2,3,5,6,8,9,11,12,13,15,16,18,19,20,21,23,26,27],should_sync:[3,4],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,23,26,27],show_shap:4,showcas:[],shown:[0,4,5,7,8,9,11,12,13,18,27],shrink:[3,5,6,8,11,19,27],shrinkag:[5,6,27],shrunk:11,shuffl:[0,1,3,4,6,13,27],sick:[],side:[0,2,5,8,12,13,18,20,26],sigh:[17,26],sigma0:23,sigma1:23,sigma2:23,sigma:[0,1,5,6,7,10,11,12,13,18,19,23,26,27],sigma_0:[5,27],sigma_1:[5,27],sigma_2:[5,27],sigma_:[5,18,26,27],sigma_fn:[7,12],sigma_i:[0,5,26,27],sigma_j:[5,27],sigma_m:[6,23],sigma_n:[11,23],sigma_t:13,sigma_x:23,sigmoid:[1,2,4,7,8,10,12,20],sigmundson:[6,27],sign:[1,2,7,8,10,23,24],signal:[1,3,10,12],signatur:[3,4],signifi:4,signific:1,significantli:[1,13,21,23],sigurd:26,silli:[],sim:[4,5,6,13,19,23],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,18,19,20,21,26],similarli:[0,1,3,5,8,10,13,21,23,26,27],similiar:[],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,19,20,23],simple_rnn:4,simplefilt:[],simplepredict:10,simpler:[0,1,5,6,7,13,16,17,19,20,26],simplernn:4,simplest:[0,1,3,4,9,10,12,14,26],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,17,18,19,20,21,23,26,27],simplic:[2,5,6,7,8,9,10,11,12,14,27],simplicti:[5,27],simplifi:[0,6,9,15,17,19,21,26,27],simplist:[3,6,23],simul:6,simultan:6,sin:[0,1,2,3,4,9,12,13,18,21,26],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,18,23,25,26,27],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,18,20,23,26,27],singular:[0,6,13,18,19,26],sinusoid:3,site:[0,2,3,4,6,7,8,9,11,13,19,20,21,22,26],situat:[0,4,5,7,13,23,26,27],six:[3,23],size:[0,1,2,3,4,5,6,8,9,10,11,13,18,19,20,23,26],sketch:10,ski:9,skill:0,skip:[3,4,11],skiprow:[],skl:[0,6,26,27],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,26,27],skplt:[7,10],skrankefunct:[],sl:6,slack:8,sleep:[],slice:[2,18,26],slide:[0,3,15,16,19,20,21,23,26,27],slight:[6,13],slightli:[1,2,3,5,6,7,10,23,27],slope:[8,11,12],slow:[0,2,8,13,27],slower:[5,18,26,27],slowest:18,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,17,18,19,23,26,27],smaller:[0,1,2,5,6,8,9,11,13,23,26,27],smallest:[0,4,14,15,16,26],smallest_row_index:14,smooth:[0,3,6,9,13,19,21,26],sn:[0,1,3,6,7,26],sne:11,sneak:26,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,26,27],soar:6,sobel:[],sobel_kernel:[],social:0,societ:[],societi:[],socket:[],soft:[1,7,10,12],soften:8,softmax:[3,7],softwar:[0,8,15,17,18],sol:8,sole:[0,6,26],solid:[0,7],solut:[0,1,2,3,5,6,8,10,11,13,18,19,20,21,23,26,27],solution_ev:[],soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,18,19,20,26,27],solve_expdec:2,solve_ode_deep_neural_network:2,solve_ode_neural_network:2,solve_pde_deep_neural_network:2,solveod:2,solveode_popul:2,solver:[2,7,8,9,10,11,18,26],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,21,23,26],some_model:[6,27],somehow:4,someth:[0,1,3,4,7,9,11,19,20,21,23,26,27],sometim:[0,1,11,12,13,14,26,27],somewhat:[],soon:[18,24,27],sophist:[0,26],sopt:13,sort:[5,6,9,11,23,27],sound:[3,5],sourc:[0,1,3,6,15,17,18,19,20,21,23,26],space:[0,1,4,5,8,9,11,12,13,14,21,23,27],span:[0,3,5,9,11,18,21,26,27],spare:1,spars:[3,6,18,26],sparse_add:[],sparse_mtx:[18,26],sparsecategoricalcrossentropi:3,sparseobject:[],sparsiti:10,spatial:[1,2,3,12],speak:23,special:[6,7,10,12,13,18,23,26,27],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,17,18,19,20,21,23,25,26,27],specifi:[0,3,5,6,7,9,11,13,14,19,23,26],specifici:[0,10,26],spectacular:3,spectral:1,speech:[0,1,3,4,12],speed:[1,2,4,13],speedup:[],spend:23,spent:[19,20,21],sphere:[0,27],spin:6,spite:0,spline:8,split:[1,3,4,5,6,8,9,10,11,14,19,23],split_1659548960591:[],splite:0,splitter:[1,10],spontan:23,spot:3,spread:[0,11,23,26,27],spring:[],springer:[19,25,26],spuriou:13,sqquar:[],sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,23,27],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,18,20,23],squarederror:10,squaredeuclidean:14,squash:12,src:[],srtm:[6,19],srtm_data_norway_1:[6,19],stabil:[5,19,20,21],stabl:[0,4,5,6,7,9,11,17,26,27],stack:[3,4],stackabl:[],stacklevel:0,stage:[5,13,19,20,21],stai:[0,2,4,5,11,26,27],stand:[0,5,9,12,26,27],standadscal:27,standard:[0,1,4,5,6,7,8,10,12,15,16,18,19,20,21,23,26],standard_basi:[],standardscal:[0,6,7,8,9,10,11,27],stanford:13,start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,18,19,20,23,24,26,27],start_box:13,start_nod:13,start_tim:14,starting_point:[],stat:6,state:[1,2,4,5,6,7,8,10,11,12,13,17,20,21,23,27],statement:[0,7,18,26],stationari:21,statist:[0,1,3,4,7,9,10,11,12,13,14,18,19,22,25,27],statu:[0,7,9,11,26],stavang:[6,19],std:[0,4,6,26,27],stdout:[],steep:13,steepest:[],step:[0,1,2,3,4,6,7,9,10,11,12,13,14,18,19,26],step_fn:[7,12],step_length:13,step_num:[3,4],step_siz:[],steps_list:9,steps_per_epoch:[3,4],stereo:3,still:[0,2,3,5,6,11,13,21,23],stimuli:12,stk2100:[25,26],stk3155:[15,19,20,21,22,24],stk4021:[25,26],stk4051:[25,26],stk4155:[22,24],stk5000:25,stk:[25,26],stochast:[0,1,5,6,8,11,12,15,16,19,21,26],stock:4,stoke:12,stone:[0,7,19],stop:[1,4,7,9,11,13,14],storag:[5,27],store:[0,1,2,3,6,11,13,19,23,26],storehaug:[24,26],str:[1,3,4],straight:[0,6,8,13,26],straightforward:[0,2,3,5,6,8,9,10,13,18,26,27],strategi:[0,1,9,26],stratifi:6,strength:[0,5,14,27],strengthen:[],stretch:11,strict:[8,13],strictli:[8,13],stride:[4,18],strided_height:[],strided_width:[],strike:6,string:1,stroke:7,strong:[3,6,9,10,12,18,23],strongli:[0,8,17,18,20],stronli:0,structur:[0,1,2,3,6,9,10,12,17,26],stuck:[1,13],student:[0,19,20,21,22,24,25,26],studi:[0,3,4,5,6,7,8,11,12,13,17,19,20,21,25,26,27],studier:25,style:[0,7,9,18,26],sub:[9,12],subarg:13,subdivid:[0,18,26],subfield:0,subject:[6,8,23],submatric:[],submit:26,subplot:[0,1,3,4,6,7,8,9,10,13,14,19,26],subplots_adjust:[8,23],subprogram:[18,26],subract:[0,27],subregion:[],subroutin:[0,26],subsampl:[],subscript:1,subsequ:[1,4,5,6,12,18,23,27],subset:[1,6,9,12,13,17,26],subspac:[0,8,11,27],substanti:[9,10],substep:11,substitut:[3,6,12,18],subsubset:9,subtask:6,subtl:1,subtract:[0,4,5,6,11,13,18,19,23],subtre:9,subval:13,succeed:[0,4,26],succes:[],success:[3,7,9,13,23],successfulli:[4,9],sudo:[0,15,17,19,21,26],suffer:[0,1,2,5,10,26,27],suffici:[1,6,8,11,13],sugar:[],suggest:[1,13,20,25],suit:[8,12],suitabl:[0,23,27],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,23,26,27],sum_i:[0,2,5,6,8,13,19,27],sum_j:6,sum_ja_:0,sum_k:[6,8,12,18],sum_logist:13,sum_m:3,sum_n:3,sum_nx_:3,summar:[5,6,9,20],summari:[1,3,4,10,20,22],summat:[0,3,16,27],sundai:[],sunni:9,superconduct:[],superfici:3,superimposit:[],superposit:[],superscript:[1,12],supervis:[0,5,6,7,9,12,17,21,26,27],supplement:7,support:[0,1,9,10,11,13,17,21,26,27],suppos:[0,5,6,7,8,10,11,12,13,18,26,27],suppress:[5,13],sure:[0,1,4,6,19],surf:[6,19],surfac:[0,6,19,26],surpass:6,surpris:[0,26],surprisingli:[],surround:[3,17],survei:[0,5,6,26,27],svc:[8,9,10],svd:[0,6,11,26],svdinv:5,svm:[8,9,10,11],svm_clf:[8,10],swap:[],swarm:[],swath:[5,27],sy:13,symbol:[1,5,11,13,17,23,26,27],symmeteri:1,symmetr:[0,5,8,11,12,13,18,21,26,27],symmetri:[6,9],sympi:[0,15,17,19,21,26],synonim:23,syntax:13,syntaxerror:8,system:[0,1,3,4,6,7,9,10,12,13,15,17,18,19,21,26],systemat:[4,6],t0:[3,6,13],t1:[2,13],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26],t_0:[2,9,13],t_1:[13,21],t_2:21,t_:2,t_b:10,t_batch:[],t_i:[1,2,5,12,20,27],t_j:[12,21],t_k:9,t_test:[],t_train:[],t_val:[],tabl:[9,19,20,21,23,24,26],tabul:[0,26],tabular:26,tackl:4,tag:[2,3,4,5,6,7,12,13,14,18,23,27],taht:[0,26],tail:23,tailor:[2,8,11,26],taiwan:[0,26],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,23,26,27],taken:[0,1,3,6,10,13,18,26],tan:3,tangent:[1,4,12,13],tanh:[1,4,7,8,12,21],tape:[3,4],target:[0,1,3,4,5,6,7,8,9,10,11,12,20,26,27],target_nam:9,task:[0,1,3,6,9,11,12,14,19,26],tau:[3,5,23],taught:26,tax:0,taylor:[2,13],taylornr:13,tba:[],tc:8,td:[1,6,13,19,26],teach:26,teacher:[],team:1,teaser:0,techinc:[],technic:[0,5,6,13,15,26,27],techniqu:[0,1,8,10,13,17,23,25,26,27],technolog:[0,1],tek5040:[],tell:[0,4,6,10,11,13,23],temp1:1,temp2:1,temp:1,temperatur:[0,9,21,26],temporarili:1,ten:[3,26],tend:[3,5,6,8,9,10,12,13,14,27],tendenc:[0,26],tension:6,tensor:[3,4],tensorflow:[0,2,4,8,14,15,17,18,19,20,21,22,25,26,27],term1:[5,6,11,19,27],term2:[5,6,11,19,27],term3:[5,6,11,19,27],term4:[5,6,11,19,27],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,23,26,27],termin:[0,4,5,9,10,13,15,26,27],terrain1:[6,19],terrain:[6,19,20],terribl:[],test:[3,4,5,6,7,8,9,10,13,18,19,21,23],test_acc:3,test_accuraci:[1,3],test_error:6,test_imag:[3,4],test_ind:6,test_input:4,test_label:[3,4],test_loss:3,test_pr:1,test_predict:1,test_rnn:4,test_scor:[7,10],test_siz:[0,1,3,5,6,10,26,27],test_split:9,tester:[],testerror:[0,6,27],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,18,20,23,25,27],textbf:[],textbook:[16,19,20,21,27],textual:9,textur:[1,9],textwrap:[],tf:[1,3,4,13,14],tfe_py_execut:[3,4],th:[0,1,2,5,6,7,9,12,13,14,15,16,18,19,23,26,27],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,20,23,26,27],thank:[4,6,27],thats:[],theano:[1,17,26],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,19,21,23,26,27],them:[0,1,3,4,6,8,9,10,11,12,13,18,19,20,21,26,27],theme:[0,26],themselv:[0,23,26],thenc:6,theorem:[2,6,7,27],theoret:[0,4,10,26],theori:[0,1,3,8,9,12,13,17,19,21,25,26],thereaft:[0,5,6,11,12,15,16,18,19,20,26],therebi:[0,5,7,11,26,27],therefor:[0,1,2,3,4,6,7,8,11,13,23,26,27],therein:11,thereof:[0,6,13,21,26],thesi:[],theta:[1,4,13,23],theta_:[1,13],theta_i:1,theta_linreg:13,theta_t:13,thetaand:[],thetaor:[],thetaxor:[],thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27],thing:[0,1,2,4,5,7,9,23,26],think:[0,1,3,4,6,9,12,13,14,23,26],third:[0,3,6,13,24,26],thirti:7,thorughout:26,those:[0,3,5,6,8,9,10,11,18,19,20,22,26,27],though:[1,2,3,4,13,18,23],thought:[6,14,19,20,21,23],thousand:[0,1,19,21,27],thread:[3,4],three:[0,1,3,5,6,8,9,12,15,18,19,22,23,24,26,27],threshold:[1,3,9,10,11,12,13],through:[0,1,2,3,4,5,6,8,11,12,13,14,17,18,23,26,27],throughout:[0,4,5,14,17,18,23,26],thu:[0,1,2,5,6,7,8,10,11,12,13,19,24,26,27],thumb:[0,6,19,26,27],thursdai:[24,27],tibshirani:[6,19,22,25,26],tick_param:6,ticker:[6,13,19,23],tif:[6,19],tight_layout:[1,7],tightli:11,tild:[0,5,6,7,11,15,16,19,23,26,27],till:[0,4,7,8,9,10,12,18,26,27],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,26,27],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,19,23,26],tmp:13,tmp_log:[3,4],tn:[2,3,7],tnr:[],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,26],to_numpi:[],todai:3,toeplitz:[],togeth:[0,3,6,8,11,13,17,26],toi:14,told:13,toler:[2,6,14],tolist:4,tomographi:12,ton:[],too:[0,2,4,5,6,9,11,13,15,23,25,26,27],took:[8,26],tool:[0,1,3,6,13,17,27],toolbox:8,top:[0,3,5,6,9,10,17,26],topic:[0,5,6,7,8,17,19,20,21,27],topograph:19,topolog:[1,3,12],toposort:[],torkjellsdatt:[24,26],toronto:[],toss:[10,23],total:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24,26,27],total_loss:4,totalclustervari:14,totalscatt:14,tour:[],toward:[1,2,7,12,13,19],towardsdatasci:[],town:0,tp:[4,7],tpng:9,tpr:[],tpu:[13,17,26],tqdm:6,tr:27,trace:[3,4,13],trace_stack:13,traceback:[0,1,2,3,4,6,10,13,19,26],traceback_util:[3,4],tracer:13,tracing_count:[3,4],track:[3,13,14,18,27],tract:0,tractabl:[0,26,27],trade:[5,9],tradeoff:[0,5,19,26,27],tradit:[0,1,4,6,26],tradition:[],train:[2,3,5,6,8,9,10,11,12,13,19,20],train_acc:[],train_accuraci:[0,1,3,26],train_dataset:4,train_end:[0,1,27],train_error:6,train_funct:[3,4],train_imag:[3,4],train_ind:6,train_label:[3,4],train_pr:1,train_siz:[0,1,3,27],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,26,27],train_test_split_numpi:[0,1,27],trainabl:4,trainable_vari:4,trained_model:[6,27],trainerror:[0,27],traini:4,training_checkpoint:4,training_dataset:4,training_gradi:13,training_gradient_fun:[],training_loss:[],trainingerror:6,trainpredict:4,trainscor:4,trainx:4,trait:[0,26],trajectori:4,trajectory_i:[],trajectory_x:[],transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,17,18,26,27],transit:[6,12],translat:[1,4,6,10,26,27],translate_vjp:[],transpos:[1,5,11,18,27],trap:[],travers:[0,5],treat:[0,1,3,6,12,13,23,26,27],tree:[0,1,6,17,19,21,26],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:23,treue:7,trevor:[19,25],tri:[2,3,4,9,13],triain:0,trial:[0,2,4,6,13,23,26],triangl:13,triangular:18,trick:[3,4,8,11,13,23],trickier:23,tridiagon:18,trigonometr:[],trillion:17,trivial:[0,1,5,11,23,26],troubl:[0,8,12,27],truck:3,true_beta:[6,27],true_divid:[],true_fun:6,truli:[],truncat:[],trustworthi:[],tucker:8,tuesdai:[24,26],tumor:[7,9,20],tumour:7,tunabl:[1,20],tune:[4,9,13,18,20,26],tupl:[2,13],turbul:21,turn:[0,1,5,6,7,8,9,10,11,12,13,18,19,23,26,27],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,23],twice:13,twist:[11,21],two:[0,1,2,4,5,6,7,9,10,11,12,13,15,16,18,21,22,23,25,26],tx:13,tx_1:13,txt:4,ty:13,type:[0,1,3,6,8,10,13,16,18,19,23,27],typeerror:[2,13],typic:[0,1,2,3,4,5,7,9,10,12,13,20,23,26,27],typo:[19,20,21],u:[0,2,5,6,8,10,11,12,18,21,26,27],u_:[18,21],u_i:12,u_m:10,u_t:21,ua:[0,26],ubuntu:[0,15,17,19,21,26],uci:[0,20,21],uio:[19,20,21,24,25],uis:[],un:14,unari:[18,26],unary_f:[2,13],unary_oper:[2,13],unary_to_nari:[2,13],unbalanc:[6,9],unbias:[0,5,6,26],uncent:6,uncertainti:[0,5,26],uncertitud:23,unchang:[1,3],unclos:[],uncorrel:[10,23],uncov:[],undefin:[5,27],under:[0,1,5,6,10,13,15,16,17,19,20,21,26,27],underdetermin:[0,26],underfit:[1,6],underflowproblem:5,undergo:5,undergradu:[22,24],underli:[0,1,9,13,23,26],underset:[4,14],understand:[0,1,3,5,6,10,13,14,17,26,27],understood:[8,13],undesir:8,undetermin:[5,8],undirect:[],undo:4,unexpect:6,unexpected:23,unfair:[6,27],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,19,23,26,27],uniformli:[13,23],unifrompdf:23,unimport:13,union:[5,6],uniqu:[0,2,6,13,14,18,26],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,23,26,27],unitari:[5,6,18,27],unitarili:[18,26],uniti:23,univari:23,univers:[0,1,2,13,15,17,19,20,21,22,24,26,27],unix:1,unknow:[0,18,26],unknown:[0,1,3,4,5,6,8,10,13,16,18,26,27],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,19,20,21,26],unlik:[1,3,8,13],unnecessarili:9,unoptim:[],unord:3,unravel:1,unravel_index:[],unreason:[],unrol:[3,11],unsampl:[],unseen:[0,7,9],unsort:[],unstabl:1,unsupervis:[0,1,4,12,17,21,26],unsymmetr:[18,26],untak:[],until:[1,2,4,9,12,13,14],untouch:0,untradit:[],unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,17,18,19,20,23,24],updat:[1,2,10,12,13,14],update_chang:[],update_matrix:[],uploa:26,upload:[17,19,20,21,25],upon:[0,1,6,7,11,18,19],upper:[0,8,9,16,18,27],uppercas:[18,26],upsampl:4,upsampled_height:[],upsampled_width:[],upscal:4,url:[26,27],us:[4,5,6,8,9,10,11,12,14,15,16,18,19,21,22,23,25],usa:26,usag:[0,8,17,26,27],usd10000:0,usd:0,use_bia:4,use_label_encod:[],use_multiprocess:[3,4],usecol:[0,26],useless:1,user:[0,1,2,3,4,6,7,8,9,11,15,17,18,19,21,26,27],usernam:[19,20,21],userwarn:[3,6],usetex:23,usg:[6,19],usr:23,usual:[0,3,4,7,12,13,14,26],ut:5,util:[0,1,3,4,6,7,10,14,20,26],ux:18,v0:23,v1:23,v2:23,v3:[],v:[2,4,5,6,11,13,17,27],v_0:11,v_ind:[],v_stride:[],va:1,vahid:26,val:13,val_acc:[],val_accuraci:3,val_error:[],val_loss:4,val_set:[],vale:2,valid:[0,1,4,7,9,10,13,17,20,21,23,26,27],validation_batch_s:[3,4],validation_data:[3,4],validation_freq:[3,4],validation_split:[3,4],validation_step:[3,4],valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,19,26],valuat:9,valued_at_a:[],valued_at_z:[],valueerror:0,valy:4,van:[0,19,26,27],vandenbergh:[8,13],vandermond:[0,26],vanilla:[0,6,11,14,27],vanish:[1,4,13,23],var_x:23,varabl:8,varepsilon:[5,6,19],varepsilon_:[5,6],varepsilon_i:[5,6],vari:[0,1,3,5,6,10,15,16,26],variabl:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,26,27],varianc:[0,1,5,7,9,10,11,13,14,17,18,20,23,26,27],variance_i:[5,11,27],variance_x:[5,11,27],variant:[0,1,6,8,12,13,21,26,27],variat:[3,4,11,21,26],varient:[],varieti:[0,3,12,15,17,19,21,26],variou:[1,3,5,6,7,8,9,11,12,13,16,17,18,19,21,23,27],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13],ve:[19,20,21],vec:6,vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17,21],vector_mean:14,veloc:21,ventur:[0,8,15,17,21,26],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,20,21,23,25,26,27],verifi:[3,11,18,26],versatil:[8,26],versicolor:[8,9],version:[0,3,4,10,13,14,15,17,18,19,20,21,23,26],versu:1,vert:[0,1,5,6,7,8,9,11,13,26,27],vert_1:[5,6,27],vert_2:[5,6,11,27],vertic:[],vi:[],via:[0,5,6,7,8,9,10,11,12,15,17,18,19,21,22,23,24,26,27],victori:[],vidal:11,video:[0,1,12,17,22,24,26,27],view:[1,3,5,6,12,13,23,25,26],vii:[],viii:[],violat:8,virginica:9,viridi:[0,1,2,3,26],virtual:1,viscos:13,viscou:13,visibl:[],visibledeprecationwarn:2,visin:[],vision:[0,3],visual:[0,3,11,12,15,17,26,27],visualis:1,viz:[6,8,23],vjp:[2,13],vjp_argnum:[],vjpfun:[],vjpmaker:[],vjpnode:13,vjps_dict:[],vmap:13,vmax:[1,6],vmin:[1,6],voic:3,volum:[0,3,26],volume18:[],vote:[10,21],voting_clf:10,votingclassifi:10,votingsimpl:10,vs:[0,4,6],vspace:[2,13],vstack:[5,11,18,23,26,27],vt:[5,27],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,23,26,27],w_1:[8,18],w_1x_1:8,w_1x_:8,w_2:[8,18],w_2x_2:8,w_2x_:8,w_3:18,w_4:18,w_:[1,12],w_h:[],w_hidden:2,w_i:[1,2,10],w_ix_i:12,w_j:18,w_m:18,w_output:2,w_px_:8,w_px_p:8,wa:[0,1,3,4,5,6,7,10,11,12,13,14,18,19,26,27],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,26,27],wait:[],walk:9,walker:23,wall:[],wang:[0,26],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,23,26,27],warn:[0,4,8],warrant:6,wast:3,watch:[3,4,17],wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27],weak:[9,10,14],weakli:[],weather:[1,12],web:[17,22,24,26],weblink:20,webpag:26,websit:[6,18,19,22,26],wedg:[8,23],wednesdai:[24,26],wee:11,week:[0,5,6,7,19,20,21,22,24],weekli:[16,17,19,24,25,26],weight:[0,1,2,3,6,7,9,10,12,13,19,20,23],weight_arrai:[],weights_next:[],weigth:2,welcom:[8,17,21],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,20,21,23,25,26,27],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,23,26,27],wessel:[0,19,26,27],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,21,23,26,27],whenev:[13,23],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27],wherea:[6,23],wherein:[1,12],whether:[0,3,5,7,9,19,20,21,23,26],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27],whichev:[1,3],whilst:[],white:9,whiteboard:[],whiten:[],who:[0,22],whole:[1,3,4,5,9,11,13],whose:[0,6,10,23,27],whow:[11,27],whrn:[],why:[0,1,3,6,13,19],wide:[0,1,3,6,7,12,15,17,18,19,21,26],widehat:6,widespread:[],width:[0,3,8,9,26],width_index:[],wieringen:[0,19,26,27],wiki:[],wikipedia:[],win:10,wind:9,window:[],windows_out:[],wing:[24,26],winther:2,wiothout:[6,27],wiscons:7,wisconsin:[10,20],wisdom:6,wise:[0,1,5,12,13,27],wish:[0,2,5,7,8,11,13,14,18,19,20,21,26,27],with_std:[0,27],wither:6,within:[0,2,3,4,7,9,12,13,14,23,25,26],withinclust:14,without:[0,1,5,6,8,9,11,12,13,20,26,27],without_trac:[3,4],wo5dmep_bbi:[],won:[0,26],wonder:8,woodi:[],word:[0,1,3,4,5,6,7,14,23,26,27],work:[0,1,4,6,7,8,9,13,15,17,19,20,21,22,23,24,26,27],worker:[3,4],workshop:26,world:[0,8,27],worldwid:[0,26],wors:[0,1,3,4,6,26],worst:9,worth:9,worthi:[19,20,21],would:[0,1,3,5,6,7,8,9,10,11,12,13,18,19,20,21,23,26,27],wrap:[6,18,26],wrap_util:[2,13],wrapper:0,write:[0,1,2,3,5,6,7,8,12,13,15,16,18,19,21,26,27],written:[0,2,3,5,11,12,13,16,17,18,19,20,21,23,26,27],wrong:[1,8],wrongli:10,wrote:[5,11,27],wrt:[10,13],wth:[10,13],www:[17,18,19,20,21,25,26],wx_1:8,x0:8,x1:[4,8,9,10,13],x1_exampl:8,x1d:8,x2:[8,9,10,13],x2d:[8,11],x2d_train:11,x2dsl:11,x3:[8,9],x4:9,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,26],x_0:[0,5,11,18,26,27],x_1:[0,2,5,6,7,8,9,10,11,13,18,23,26,27],x_2:[0,2,5,6,7,8,9,10,11,13,18,23,26,27],x_3:[8,18,23],x_4:18,x_:[0,2,3,5,6,8,10,11,13,14,18,19,23,26,27],x_batch:[],x_batch_feedforward:[],x_batch_feedforward_shap:[],x_batch_pad:[],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,18,21,23,26,27],x_input:2,x_ix_:[0,26],x_iy_i:8,x_j:[0,2,8,9,12,16,23,27],x_jy_j:8,x_k:[12,14,18,23,27],x_l:23,x_m:[6,12,18,23],x_n:[0,2,3,6,8,11,12,13,18,23,26],x_new:[9,10],x_offset:[6,27],x_output:2,x_p:[3,7,9],x_poli:9,x_poly10:9,x_pred:4,x_prev:2,x_reduc:11,x_scale:8,x_small:13,x_test:[0,1,3,5,6,7,9,10,11,26,27],x_test_own:6,x_test_scal:[0,6,7,9,10,11,27],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,26,27],x_train_mean:[6,27],x_train_own:6,x_train_scal:[0,6,7,9,10,11,27],x_val:1,xarrai:[17,26],xavier:1,xbkjd4ccgq:26,xbnew:13,xcode:[0,15,17,19,21,26],xdclassiffierconfus:10,xdclassiffierroc:10,xg_clf:10,xgb:10,xgbclassifi:10,xgboost:[9,21],xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13],xi_1:8,xi_:8,xi_i:8,xinv:[],xk:8,xla:[3,4,13,17,26],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,19,23,26],xlim:[6,10],xm:9,xmesh:13,xnew:[0,13,26],xor:[],xp:23,xpanda:[0,27],xpd:[5,11,27],xplot:0,xs:9,xscale:[0,27],xsr:9,xt_x:13,xtest:6,xtick:[3,6,8,9],xtrain:6,xu:[0,26],xx:[0,18,21,26],xy:[0,6,8,18,19,26],xytext:8,xz:[18,26],y1:4,y2:4,y3:4,y:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,23,26,27],y_0:[0,5,11,18,26,27],y_1:[0,5,8,9,11,13,18,26,27],y_1y_1:8,y_1y_1k:8,y_1y_2:8,y_1y_2k:8,y_1y_n:8,y_1y_nk:8,y_2:[0,5,8,9,11,18,26,27],y_2y_1:8,y_2y_1k:8,y_2y_2:8,y_2y_2k:8,y_3:[0,9,18],y_4:18,y_:[0,1,5,6,10,11,18,26,27],y_data:[0,1,5,6,26,27],y_data_ful:1,y_decis:8,y_fit:[0,27],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,18,19,20,26,27],y_if_:10,y_ix_:[0,26],y_ix_i:[7,8,13,27],y_iy_jk:8,y_j:[6,8,12,19],y_k:12,y_m:18,y_model:[0,4,5,6,26,27],y_n:[8,13],y_ny_1:8,y_ny_1k:8,y_ny_2:8,y_ny_2k:8,y_ny_n:8,y_ny_nk:8,y_offset:[6,27],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,27],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10],y_scaler:6,y_test:[0,1,3,4,5,6,7,9,10,11,26,27],y_test_onehot:1,y_test_predict:0,y_test_scal:[],y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,26,27],y_train_mean:[6,27],y_train_onehot:1,y_train_predict:0,y_train_scal:6,y_val:1,yadav:21,yand:[],ye:[3,6,7],year:[0,17,26],yet:[0,1,6,8,11,13,26],yi:13,yield:[0,2,5,6,8,10,12,13,14,18,23,26],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,19,23,26],ylim:[3,6],ym:9,ymesh:13,yn:0,yo:[8,9,10],yor:[],yoshua:[1,25],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,19,20,21,23,24,25,26,27],young:0,your:[1,2,4,5,6,8,11,13,17,18,19],yourself:[11,13,26],youtub:17,ypred:6,ypredict2:13,ypredict:[0,13,26,27],ypredictlasso:5,ypredictol:[0,5],ypredictown:[6,27],ypredictownridg:6,ypredictridg:[0,5,6],ypredictskl:[6,27],yridg:26,ys:9,ytest:6,ytick:[3,6,8,9],ytild:[0,6,26,27],ytilde_test_ol:[],ytilde_test_ridg:[],ytildelasso:5,ytildenp:[0,26,27],ytildeol:[0,5],ytildeownridg:6,ytilderidg:[5,6],ytrain:6,yuxi:26,yx:[18,26],yxor:[],yy:[18,26],yz:[18,26],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,19,23,26,27],z_0:[18,26],z_1:[18,26],z_2:[18,26],z_:[1,2,12,18,26],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,27],z_m:1,z_matric:[],z_matrix:[],z_mod:9,z_o:1,z_output:2,zaman:23,zaxi:[6,19],zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,23,26,27],zeros_lik:4,zeroth:27,zfill:4,zip:[2,4,6,13],zm_h:[0,26],zmq:[],zn:0,zone:0,zoom:26,zx:[18,26],zy:[18,26],zz:[18,26]},titles:["3. Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 9 (midnight), 2023","Project 2 on Machine Learning, deadline November 17 (Midnight)","Project 3 on Machine Learning, deadline December 18 (midnight), 2023","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression"],titleterms:{"1":[0,15,16,19,26,27],"12":[],"13":[],"14":[],"17":20,"18":21,"19":[],"2":[0,15,16,20,26,27],"2023":[19,21,24],"21":[],"23":[],"26":27,"3":[0,15,16,21,26,27],"31":[],"34":[15,26],"35":[16,27],"36":[],"37":[],"38":[],"39":[],"3d":[],"4":[0,27],"40":[],"41":[],"42":[],"43":[],"44":[],"45":[],"46":[],"47":[],"5":0,"7":[],"9":19,"case":[8,10,23,27],"class":[],"do":1,"final":[12,20,27],"function":[0,1,6,7,8,10,11,12,13,19,20,23,26,27],"import":[5,18,26,27],"long":[],"new":4,"short":[],"try":[],A:[0,1,4,8,9,26],AND:[],And:[26,27],But:[],For:27,If:[],In:24,Is:[],Ising:6,No:[],Not:[],OR:[],The:[0,1,2,3,5,6,7,8,9,11,12,17,21,26,27],Then:[],To:[26,27],With:4,about:[26,27],abov:[],access:[],activ:[1,12,20],ad:[0,6,19,26,27],adaboost:10,adagrad:13,adam:13,adapt:10,add:[],addit:[],adjust:1,advanc:[],adversari:4,after:[],again:[3,9],ai:26,aim:[8,9,26],aka:[26,27],al:[],algebra:[18,26],algorithm:[9,10,11,12,20,27],algortithm:13,all:8,allow:[],altern:21,an:[0,4,10,26],analys:[5,27],analysi:[0,5,6,11,17,19,20,23,26,27],analyt:[0,16],analyz:21,ani:13,anoth:9,appli:17,approach:[0,8,14,26],approxim:12,architectur:1,argument:[],arithmet:[],arrai:[18,26],artifici:[],assist:24,assumpt:[],attend:[],august:27,autocorrel:23,autoencod:[],autograd:[2,13],automat:13,avoid:[],b:[19,20,21],back:[1,11,12],background:[17,19,20],backpropag:[],backward:[],bag:10,base:13,basic:[0,5,7,9,10,11,18,21,27],batch:1,bay:5,bayesian:[],befor:11,begin:[],best:[],beta:[],better:8,between:[],bia:[6,19],bias:[],binari:1,bind:26,bird:10,bm:[],boldsymbol:27,boltzmann:[],boost:10,bootstrap:[6,10],boston:0,breast:1,brief:26,bring:12,build:[1,3,9],c:[19,20,21,26],calcul:27,can:26,cancer:[1,7,9,11],canva:[],cart:9,cell:[],center:27,central:[13,17,23],chain:12,challeng:[],chanel:[],chang:10,channel:26,chi:[0,26],choic:[],choos:1,cifar01:3,classic:11,classif:[1,9,10,20],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,20,26,27],coeffici:[],coin:[],collect:[1,3],combin:[],come:[],commun:26,compact:[],compar:[2,10],comparison:[],compet:[],compil:[],complet:27,complex:[0,6,19,21,27],complic:6,compon:11,comput:9,computation:[],computerlab:26,con:9,concept:23,condit:[],confid:[],conjug:13,connect:[],construct:[],content:[],continu:[],contn:26,convex:[8,13],convolut:[3,12],convolution2dlay:[],correctli:[],correl:[11,27],correspond:[],cost:[1,10,27],cours:[17,25,26],covari:[5,11,23,27],cover:26,critic:20,cross:[6,19],ct:[],cumul:[],curv:[],cython:26,d:[19,20,21],data:[0,1,3,6,7,9,11,15,16,17,19,21,23,26,27],dataset:[1,3],deadlin:[19,20,21,26],decai:2,decemb:21,decis:[9,10],decomposit:[5,11,18,27],deep:[1,2,26],deepen:[],defin:[1,21,26],definit:[],degre:[0,27],deliveri:[19,20,21],delta:[],demonstr:[],dens:[0,26],deriv:[5,12,27],descent:[2,10,13,20],descript:19,design:27,detail:[3,26],develop:1,diagon:11,did:[],differ:[8,20],different:[],differenti:[2,13,21],diffus:2,dimension:[2,3,8,19,27],directli:[],disadvantag:9,discord:[],discret:23,discuss:[],distinct:[],distribut:[5,23],distrubut:[],dnn:[],doe:27,domain:23,don:[],dot:[],down:1,dropout:1,dual:[],e:[19,20,21],each:[],easi:[],economi:27,effect:[],effici:[],effort:[],electron:[19,20,21],element:[0,23,26],elimin:18,energi:26,ensembl:10,entropi:9,environ:[0,15,26],equat:[0,2,12,21,26,27],error:[0,10,26,27],essenti:26,estim:[],et:[],etc:26,euler:2,evalu:[1,20],exam:[],exampl:[0,1,2,3,4,6,7,8,9,10,26,27],exercis:[0,6,15,16,26,27],expect:23,expens:[],experi:23,explain:[],explod:[],explor:[0,15,16,26],exponenti:2,express:27,extend:[],extrapol:4,extrem:[10,26],ey:10,f:[19,20],f_1:[],face:[],factor:[],fall:24,famili:[1,26,27],famou:18,fantast:27,featur:[9,18,27],feed:[1,12],file:[],find:[],fine:1,first:[4,12,20,26,27],fit:[0,10,26],fix:27,flatten:[],flow:[],fold:[],forc:3,forest:10,format:[19,20,21,26],forward:[1,2,12],four:[],fourier:3,frank:[6,19,27],freedom:[0,27],frequent:27,frequentist:[0,26],fridai:[],from:[5,10,12,20,27],full:2,fulli:[],funtion:[],further:[3,5,27],futur:[],g:19,gain:[],gan:4,gate:[],gaussian:18,gd:13,gener:[4,9,26],geometr:11,get:[],gini:9,github:[],go:[],goal:[],good:[0,26],goodfellow:[],grade:[24,26],gradient:[1,2,10,13,20],grid:[],group:[],grow:[],growth:2,ha:17,half:[],hand:[],handl:[18,26,27],happen:[],have:[],head:[],heard:[],heroic:[],hessian:27,hidden:2,histogram:[],homework:[],hour:[],hous:0,how:[],hyperbol:[],hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ideal:[],ident:[],identifi:[],ii:26,iid:[],iii:[],illustr:[],imag:[],implement:1,implic:[5,27],impress:[],improv:1,includ:13,increment:11,independ:[],index:9,indic:[],inform:24,initi:[],input:2,insight:[],instal:[17,19,21,26],instructor:24,intellig:[],intercept:27,interest:[],interpret:[5,11,26,27],interv:[],introduc:[11,13,27],introduct:[0,6,17,18,19,20,21,26],invers:[5,18],invert:27,iter:10,its:27,iv:[],jacobian:27,jargon:[],jax:13,job:[],joint:[],judg:[],julia:26,jungl:10,jupyt:[],k:[],kei:[],kera:[1,3],kernel:[8,11],knowledg:[],l:[],lab:[],lagrangian:8,lambda:[],lasso:[5,6,19,27],last:27,later:[5,27],layer:[1,2,3,12],layout:[],learn:[0,1,2,11,13,14,15,16,17,19,20,21,26,27],least:[5,6,19,26,27],lectur:[26,27],level:10,librari:[17,26],like:[],likelihood:7,limit:[1,13,23],linear:[0,8,13,18,20,26,27],link:[5,11,22,25,27],list:[],literatur:[19,20],logist:[7,20,26],loop:[],loss:27,lstm:[],lu:18,machin:[0,8,13,17,19,20,21,26],made:[],mai:[],mail:[],main:[23,26],make:[0,9,10,15,16,26,27],mani:[10,12],manipul:27,margin:[],mass:26,materi:[22,26,27],math:[5,27],mathemat:[3,5,8,27],matric:[5,18,26],matrix:[1,5,11,12,18,26,27],matter:[0,26],max:27,maximum:[],me:[],mean:[0,27],measur:[],medic:[],meet:[5,10,23,26,27],memori:[],mercer:8,meta:[],method:[6,9,10,13,19,26],midnight:[19,20,21],min:27,mini:[],minibatch:[],minim:26,ml:26,mle:[],mlp:12,mnist:[3,4],model:[0,1,4,6,12,26],moment:[],momentum:13,mondai:27,moon:[8,9],more:[3,6,18,19,26,27],much:[],multi:[],multiclass:[],multilay:12,multipl:[1,3],multipli:8,need:[19,21,26],neg:[],network:[1,2,3,4,7,12,20,21,26],neural:[1,2,3,4,7,12,20,21,26],neuron:[],newton:[],nice:[],nn:[],node:[],noen:[],non:8,normal:[0,1],notat:12,note:27,notebook:[],novemb:20,now:[1,9,13],nuclear:[0,26],nueral:[],numba:26,number:[0,2,23,27],numer:[2,19,20,21,23],numpi:[18,26],object:3,obtain:11,octob:19,od:2,off:[6,19],ol:[5,6,19],one:[2,12],ones:[],oper:18,optim:[1,8,13,17,26,27],order:13,ordinari:[5,6,19,26,27],organ:[0,26],orient:[],oslo:25,other:[4,9,11,12,18,26,27],our:[0,4,5,11,13,26,27],out:[],outcom:[17,26],output:2,overarch:[0,4,8,9,26,27],overview:[10,26],own:[0,10,11,15,16,20,26,27],packag:[18,26],pad:[],panda:[26,27],paper:19,paramet:[26,27],part:[13,17,19,20,21,27],partial:[2,21],pass:1,path:21,pca:11,pdf:23,pencil:19,perceptron:12,perform:[1,9],period:3,perspect:1,pertin:[],plan:27,plot:[],point:4,poisson:2,polynomi:3,pool:[],popul:2,popular:26,posit:[],possibl:[],practic:[13,24,26],pre:[1,3],predict:4,predictor:[],prefer:[],prepar:[],preprocess:27,prerequisit:[3,17,26],present:[],princip:11,principl:3,print:[],pro:9,probabl:[5,23],problem:[1,2,13,21,26,27],procedur:[9,26],process:[1,3],product:[],program:[2,13,19,20,21],project:[6,19,20,21,26],prop:13,propag:[1,12],properti:[5,23,27],prune:[],python:[0,9,15,17,18,26],quantiti:[],quantum:[],question:[],quick:8,r:26,random:[10,11,23],raphson:[],rate:[],rbm:[],read:[9,26,27],real:[6,19,26],recogn:[],recommend:[26,27],rectangular:[],recurr:[4,12],recurs:[],reduc:[0,27],reduct:3,reformul:2,regress:[0,5,6,7,9,10,13,19,20,26,27],regressor:[],regular:1,reinforc:[],relat:27,relev:[25,27],relu:1,remark:3,remind:[6,8,26],repeat:27,repetit:[],replac:13,report:[19,20,21],repositori:[],repres:[],requir:[2,17],resampl:[6,19],rescal:6,research:[],residu:27,resourc:2,result:27,review:[],revisit:13,rewrit:[26,27],rewritten:[],ridg:[0,5,6,19,27],rm:13,rmsprop:[],rnn:[],roc:[],rule:12,run:[],s:[8,10],same:13,sampl:11,scale:27,scan:[],schedul:[22,26],schemat:9,scheme:2,scienc:26,scientif:[],scikit:[0,1,11,15,16,26,27],score:[],search:[],second:13,select:[],semest:24,sensit:[],separ:[],septemb:[],session:27,set:[0,2,3,9,12,15,21,26,27],setup:[],sever:[],sgd:13,share:[],sharp:[],should:1,sigmoid:[],similar:13,simpl:[0,4,9,13,26,27],singl:10,singular:[5,11,27],size:27,sketch:[],slept:[],slightli:[],so:[],social:[],soft:8,softmax:1,softwar:[19,21,26],solut:[],solv:[2,21],solver:13,some:[13,18,27],sound:[],specif:[],specifi:2,speed:[],split:[0,15,16,26,27],squar:[0,5,6,10,19,26,27],standard:[13,27],start:[],state:[0,26],statement:[],statist:[5,6,17,23,26],steepest:[10,13],step:20,still:27,stochast:[13,20,23],stop:[],stride:[],strong:[],strongli:26,structur:21,studi:[],subtract:27,suggest:26,sum:[],summari:[24,26],superposit:3,supervis:1,support:8,svd:[5,27],syntax:[],systemat:3,t:27,tabl:[],tail:[],taken:[],target:[],teach:[22,24],teacher:[24,26],technic:[],techniqu:[6,11,19],technolog:17,tensor:[],tensorflow:[1,3],tent:26,term:[],test:[0,1,15,16,20,26,27],text:26,textbook:[25,26],than:[],thank:[],thei:[],theorem:[5,8,11,12,23],theori:23,thi:26,thing:[],think:27,through:[],thursdai:[],time:[],tip:13,togeth:12,tool:26,top:1,topic:26,toss:[],toward:11,trade:[6,19],tradeoff:6,train:[0,1,4,15,16,26,27],transfer:[],transform:3,tree:[9,10],trial:[],tuesdai:[],tune:1,two:[3,8,17,19,27],type:[2,4,12,26],typic:[],uio:26,understand:[],unit:[],univers:[12,25],unsupervis:14,unsupport:[],up:[0,2,9,12,15,21,26,27],updat:[],us:[0,1,2,3,7,13,17,20,26,27],usag:[],valid:[6,19],valu:[5,11,23,27],vanish:[],vari:[],variabl:23,varianc:[6,19],variou:[0,15,20,26],vector:[8,12,18,26,27],veri:[],verifi:[],video:[],view:[0,4,10,27],visual:[1,9],volum:[],vote:[],vs:3,wa:[],wai:9,warm:[],wave:2,we:26,websit:[],wednesdai:[],week:[15,16,26,27],weekend:[],weekli:22,weight:[],well:[],what:[0,26,27],when:[],which:1,why:[26,27],wisconsin:7,wish:[],word:[],worri:[],would:[],wrap:27,write:[4,11,20],x:27,xgboost:10,xor:[],year:[],yet:[],you:[],your:[0,10,15,16,20,21,26,27],yourself:21,z_j:[],zero:[]}}) \ No newline at end of file diff --git a/doc/LectureNotes/_build/html/week35.html b/doc/LectureNotes/_build/html/week35.html index 7a1250f43..2f7c0c2e4 100644 --- a/doc/LectureNotes/_build/html/week35.html +++ b/doc/LectureNotes/_build/html/week35.html @@ -1345,13 +1345,13 @@ In order to find the derivative of \( \[ \alpha = \boldsymbol{z}^T\boldsymbol{x}, \]
-

which means that (using our previous example) we have

+

which means that (using our previous example and keeping track of our definition of the derivative of a scalar) we have

\[ -\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=\boldsymbol{A}^T\boldsymbol{y}. +\frac{\partial \alpha}{\partial \boldsymbol{x}} = \frac{\partial \boldsymbol{z}^T\boldsymbol{x}}{\partial \boldsymbol{x}}=\boldsymbol{z}^T=\boldsymbol{A}^T\boldsymbol{y}. \]

Note that the resulting vector elements are the same for \(\boldsymbol{z}^T\) and \(\boldsymbol{z}\), the only difference is that one is just the transpose of the other.

-

Since \(\alpha\) is a scalar we have \(\alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y}\). Defining now \(\boldsymbol{z}=\boldsymbol{x}^T\boldsymbol{A}^T\) we find that

+

Since \(\alpha\) is a scalar we have \(\alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y}\). Defining now \(\boldsymbol{z}^T=\boldsymbol{x}^T\boldsymbol{A}^T\) we find that

\[ \frac{\partial \alpha}{\partial \boldsymbol{y}} = \boldsymbol{z}^T=\boldsymbol{x}^T\boldsymbol{A}^T. @@ -1471,7 +1471,11 @@ C(\boldsymbol{\beta})=\frac{1}{n}\boldsymbol{w}^T\boldsymbol{w},

We list here some other useful relations we may encounter (recall that vectors are defined by boldfaced low-key letters)

\[ -\frac{\partial (\boldsymbol{b}^T\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{b}, +\frac{\partial (\boldsymbol{x}^T\boldsymbol{a})}{\partial \boldsymbol{x}} = \boldsymbol{a}^T, +\]
+
+\[ +\frac{\partial (\boldsymbol{a}^T\boldsymbol{x})}{\partial \boldsymbol{x}} = \boldsymbol{a}^T, \]
\[ @@ -1593,7 +1597,7 @@ Since we are not using Scikit-Learn here we can define our own
-
0.995597266739957
+
0.9949937802432685
@@ -1610,7 +1614,7 @@ Since we are not using Scikit-Learn here we can define our own
-
0.007984802498580442
+
0.01027999506395317
@@ -1625,23 +1629,23 @@ Since we are not using Scikit-Learn here we can define our own
-
[0.00320321 0.00245758 0.05081566 0.0019973  0.00120436 0.0178182
- 0.00900007 0.00408859 0.00048748 0.00486475 0.01992842 0.00354541
- 0.02097611 0.02124814 0.05100557 0.03342039 0.01004759 0.03045198
- 0.01334173 0.02570599 0.01152362 0.0055851  0.01331589 0.00670173
- 0.00111016 0.00674891 0.02190496 0.01318991 0.01012542 0.00536771
- 0.01056529 0.03104011 0.02194347 0.00570653 0.02260804 0.00449913
- 0.01584232 0.00856436 0.01271496 0.02217472 0.00201728 0.00743189
- 0.03465345 0.01961887 0.00071763 0.05253796 0.00713411 0.02597965
- 0.00044036 0.04210928 0.04276324 0.01934278 0.03413554 0.03117346
- 0.01696872 0.0103092  0.05179687 0.03101773 0.00419078 0.04059438
- 0.0681795  0.02798066 0.01269201 0.00019982 0.00546406 0.01333519
- 0.00925952 0.06136355 0.05846851 0.03697739 0.04446751 0.0707621
- 0.02017735 0.01044641 0.06713371 0.01791265 0.05612456 0.02375823
- 0.0050523  0.03568016 0.00771754 0.01959569 0.00679037 0.01420455
- 0.09201618 0.01115073 0.00372262 0.03688621 0.05250129 0.00520339
- 0.00423753 0.00267063 0.0575829  0.00228698 0.00253137 0.0280728
- 0.01264352 0.01788241 0.07061848 0.00521152]
+
[0.00436097 0.05486516 0.0284569  0.03042532 0.05255806 0.00279707
+ 0.02052907 0.02230304 0.04049356 0.04875464 0.0571849  0.01328032
+ 0.00537238 0.05368812 0.01718359 0.00919685 0.01370514 0.01506857
+ 0.03391617 0.01736839 0.01644373 0.01853101 0.00043401 0.0501397
+ 0.01655376 0.01410563 0.00248515 0.06472468 0.01025732 0.04921476
+ 0.00377783 0.01632149 0.0267125  0.05363498 0.00438551 0.00650452
+ 0.02410491 0.05852079 0.02783602 0.05441837 0.009371   0.01651438
+ 0.01887299 0.04798291 0.01970507 0.05486379 0.01445124 0.06584783
+ 0.00363331 0.02765621 0.05439747 0.02002135 0.00886469 0.01777143
+ 0.03649344 0.03241934 0.02896611 0.00248403 0.06486283 0.01642653
+ 0.04926154 0.00057042 0.0008744  0.02936993 0.03010304 0.01815639
+ 0.04037945 0.00553874 0.00223388 0.01474277 0.06839199 0.0306628
+ 0.01057262 0.04008416 0.0391324  0.0350905  0.03760958 0.0193714
+ 0.0201182  0.00557755 0.04383596 0.02646579 0.02413829 0.00946466
+ 0.01335463 0.0125267  0.00971419 0.06107268 0.02539264 0.0227732
+ 0.00396906 0.02333106 0.00192092 0.02267534 0.00241645 0.00636841
+ 0.02635071 0.03800193 0.04967168 0.00836194]
@@ -1710,15 +1714,15 @@ but now splitting the data into a training set and a test set.

-
[ 2.032142    0.27650047  3.22178183  2.62592637 -1.1157376 ]
+
[ 1.96008541  0.31597257  4.77260857 -0.39452621  0.29176118]
 Training R2
-0.994910550643694
+0.9958819974114181
 Training MSE
-0.011016261190269798
+0.00866641755559425
 Test R2
-0.9949909770903465
+0.9901527242749735
 Test MSE
-0.007328424743352142
+0.020056422754215136
@@ -2276,7 +2280,7 @@ the aims is to reproduce Figure 2.11 of -_images/week35_146_0.png +_images/week35_147_0.png
@@ -2677,7 +2681,7 @@ MSE with Sklearn intercept 0.004113634617443131 -_images/week35_181_1.png +_images/week35_182_1.png

The intercept is the value of our output/target variable diff --git a/doc/LectureNotes/_build/jupyter_execute/exercisesweek35.ipynb b/doc/LectureNotes/_build/jupyter_execute/exercisesweek35.ipynb index 18171513f..a8308aef9 100644 --- a/doc/LectureNotes/_build/jupyter_execute/exercisesweek35.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/exercisesweek35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "a15180da", + "id": "3080bd6e", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "ac77b923", + "id": "2121a646", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "e8b90270", + "id": "5fdd1312", "metadata": { "editable": true }, @@ -43,25 +43,26 @@ "derivatives) of the chosen cost functions. Vectors are always written\n", "as boldfaced lower case letters and matrices as upper case boldfaced\n", "letters. You will find useful the notes from week 35 on derivatives of vectors and matrices.\n", + "See also the textbook of Faisal at al, chapter 5 and in particular sections 5.3-5.5 at \n", "\n", "Show that" ] }, { "cell_type": "markdown", - "id": "2e2e8f1a", + "id": "5bd583f7", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial (\\boldsymbol{b}^T\\boldsymbol{a})}{\\partial \\boldsymbol{a}} = \\boldsymbol{b},\n", + "\\frac{\\partial (\\boldsymbol{a}^T\\boldsymbol{x})}{\\partial \\boldsymbol{x}} = \\boldsymbol{a}^T,\n", "$$" ] }, { "cell_type": "markdown", - "id": "1cdc68da", + "id": "74d2af02", "metadata": { "editable": true }, @@ -71,7 +72,7 @@ }, { "cell_type": "markdown", - "id": "b87f9fdd", + "id": "cc982163", "metadata": { "editable": true }, @@ -83,7 +84,7 @@ }, { "cell_type": "markdown", - "id": "6ab53932", + "id": "2f2c4da8", "metadata": { "editable": true }, @@ -93,7 +94,7 @@ }, { "cell_type": "markdown", - "id": "1a7a8ec2", + "id": "75abd105", "metadata": { "editable": true }, @@ -105,7 +106,7 @@ }, { "cell_type": "markdown", - "id": "3bdb1514", + "id": "ed48f425", "metadata": { "editable": true }, @@ -114,13 +115,14 @@ "\n", "The second derivative of the mean squared error is then proportional to the so-called Hessian matrix $\\boldsymbol{H}=\\boldsymbol{X}^T\\boldsymbol{X}$.\n", "\n", - "**Hint**: In these exercises it is always useful to write out with summation indices the various quantities.\n", + "**Hint**: In these exercises it is always useful to write out with summation indices the various quantities. Take also a look at the weekly slides from week 35 and the various examples included there.\n", + "\n", "As an example, consider the function" ] }, { "cell_type": "markdown", - "id": "3e54eca9", + "id": "329edf30", "metadata": { "editable": true }, @@ -132,7 +134,7 @@ }, { "cell_type": "markdown", - "id": "3db49a1c", + "id": "01f1090f", "metadata": { "editable": true }, @@ -142,7 +144,7 @@ }, { "cell_type": "markdown", - "id": "5d4d3a0e", + "id": "8c71ed48", "metadata": { "editable": true }, @@ -154,7 +156,7 @@ }, { "cell_type": "markdown", - "id": "90eecd1c", + "id": "4e8012af", "metadata": { "editable": true }, @@ -164,7 +166,7 @@ }, { "cell_type": "markdown", - "id": "7eb7605f", + "id": "a1e0c123", "metadata": { "editable": true }, @@ -176,7 +178,7 @@ }, { "cell_type": "markdown", - "id": "b30dd90f", + "id": "22a65aed", "metadata": { "editable": true }, @@ -186,7 +188,7 @@ }, { "cell_type": "markdown", - "id": "1167ec1f", + "id": "e56f21e8", "metadata": { "editable": true }, @@ -198,7 +200,7 @@ }, { "cell_type": "markdown", - "id": "8f309e9e", + "id": "48394062", "metadata": { "editable": true }, @@ -216,7 +218,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "2df1063f", + "id": "bb67a97a", "metadata": { "collapsed": false, "editable": true @@ -230,7 +232,7 @@ }, { "cell_type": "markdown", - "id": "0cb75ec5", + "id": "d60db901", "metadata": { "editable": true }, @@ -244,7 +246,7 @@ }, { "cell_type": "markdown", - "id": "f0c36bdb", + "id": "274328a7", "metadata": { "editable": true }, @@ -257,7 +259,7 @@ }, { "cell_type": "markdown", - "id": "8c3ce778", + "id": "59dce0f1", "metadata": { "editable": true }, @@ -268,7 +270,7 @@ }, { "cell_type": "markdown", - "id": "f861d243", + "id": "1e1f8911", "metadata": { "editable": true }, @@ -280,7 +282,7 @@ }, { "cell_type": "markdown", - "id": "51500e4b", + "id": "ef31124f", "metadata": { "editable": true }, @@ -290,7 +292,7 @@ }, { "cell_type": "markdown", - "id": "fda9dadd", + "id": "46ac2123", "metadata": { "editable": true }, @@ -302,7 +304,7 @@ }, { "cell_type": "markdown", - "id": "6b691499", + "id": "edf840af", "metadata": { "editable": true }, @@ -313,7 +315,7 @@ }, { "cell_type": "markdown", - "id": "b6f10ab9", + "id": "31059187", "metadata": { "editable": true }, @@ -333,7 +335,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "285159ae", + "id": "f7382860", "metadata": { "collapsed": false, "editable": true @@ -349,7 +351,7 @@ }, { "cell_type": "markdown", - "id": "c2840fc9", + "id": "a10412bd", "metadata": { "editable": true }, @@ -359,7 +361,7 @@ }, { "cell_type": "markdown", - "id": "9dbda275", + "id": "8a9f0b89", "metadata": { "editable": true }, @@ -370,7 +372,7 @@ }, { "cell_type": "markdown", - "id": "824dba6f", + "id": "df5c7f67", "metadata": { "editable": true }, @@ -382,7 +384,7 @@ }, { "cell_type": "markdown", - "id": "a3f059cf", + "id": "e9b0fa39", "metadata": { "editable": true }, diff --git a/doc/LectureNotes/_build/jupyter_execute/exercisesweek35.py b/doc/LectureNotes/_build/jupyter_execute/exercisesweek35.py index 315da02e7..bf5314918 100644 --- a/doc/LectureNotes/_build/jupyter_execute/exercisesweek35.py +++ b/doc/LectureNotes/_build/jupyter_execute/exercisesweek35.py @@ -21,11 +21,12 @@ # derivatives) of the chosen cost functions. Vectors are always written # as boldfaced lower case letters and matrices as upper case boldfaced # letters. You will find useful the notes from week 35 on derivatives of vectors and matrices. +# See also the textbook of Faisal at al, chapter 5 and in particular sections 5.3-5.5 at # # Show that # $$ -# \frac{\partial (\boldsymbol{b}^T\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{b}, +# \frac{\partial (\boldsymbol{a}^T\boldsymbol{x})}{\partial \boldsymbol{x}} = \boldsymbol{a}^T, # $$ # and @@ -44,7 +45,8 @@ # # The second derivative of the mean squared error is then proportional to the so-called Hessian matrix $\boldsymbol{H}=\boldsymbol{X}^T\boldsymbol{X}$. # -# **Hint**: In these exercises it is always useful to write out with summation indices the various quantities. +# **Hint**: In these exercises it is always useful to write out with summation indices the various quantities. Take also a look at the weekly slides from week 35 and the various examples included there. +# # As an example, consider the function # $$ diff --git a/doc/LectureNotes/_build/jupyter_execute/week35.ipynb b/doc/LectureNotes/_build/jupyter_execute/week35.ipynb index afe604627..602453701 100644 --- a/doc/LectureNotes/_build/jupyter_execute/week35.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "7d46aac3", + "id": "d1a45cb9", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "c2e822c3", + "id": "df0b160c", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "8fe173b0", + "id": "5480a93a", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "3d8f7c5e", + "id": "6d7042d6", "metadata": { "editable": true }, @@ -69,7 +69,7 @@ }, { "cell_type": "markdown", - "id": "136f0fb9", + "id": "f38f6344", "metadata": { "editable": true }, @@ -103,7 +103,7 @@ }, { "cell_type": "markdown", - "id": "81e34904", + "id": "88321305", "metadata": { "editable": true }, @@ -119,7 +119,7 @@ }, { "cell_type": "markdown", - "id": "9eb8c3c0", + "id": "b3902f8c", "metadata": { "editable": true }, @@ -131,7 +131,7 @@ }, { "cell_type": "markdown", - "id": "b57a761c", + "id": "6cc9fd26", "metadata": { "editable": true }, @@ -141,7 +141,7 @@ }, { "cell_type": "markdown", - "id": "a1938870", + "id": "083c1a6b", "metadata": { "editable": true }, @@ -153,7 +153,7 @@ }, { "cell_type": "markdown", - "id": "f4dfd5db", + "id": "38b6975b", "metadata": { "editable": true }, @@ -174,7 +174,7 @@ }, { "cell_type": "markdown", - "id": "eb46d019", + "id": "8a65b0a7", "metadata": { "editable": true }, @@ -186,7 +186,7 @@ }, { "cell_type": "markdown", - "id": "97bb0d9d", + "id": "7097614a", "metadata": { "editable": true }, @@ -199,7 +199,7 @@ }, { "cell_type": "markdown", - "id": "70a33137", + "id": "d57cdf7e", "metadata": { "editable": true }, @@ -211,7 +211,7 @@ }, { "cell_type": "markdown", - "id": "bc9a57c9", + "id": "8ee5538d", "metadata": { "editable": true }, @@ -223,7 +223,7 @@ }, { "cell_type": "markdown", - "id": "fd395098", + "id": "09ce36b5", "metadata": { "editable": true }, @@ -233,7 +233,7 @@ }, { "cell_type": "markdown", - "id": "c6c37190", + "id": "3884daa6", "metadata": { "editable": true }, @@ -245,7 +245,7 @@ }, { "cell_type": "markdown", - "id": "3754a599", + "id": "046f3817", "metadata": { "editable": true }, @@ -258,7 +258,7 @@ }, { "cell_type": "markdown", - "id": "eb1e5c6a", + "id": "327fd863", "metadata": { "editable": true }, @@ -270,7 +270,7 @@ }, { "cell_type": "markdown", - "id": "c5bab63d", + "id": "d2df2b68", "metadata": { "editable": true }, @@ -280,7 +280,7 @@ }, { "cell_type": "markdown", - "id": "469d828a", + "id": "e5b6d8a1", "metadata": { "editable": true }, @@ -292,7 +292,7 @@ }, { "cell_type": "markdown", - "id": "99cb3e0c", + "id": "f40f76e8", "metadata": { "editable": true }, @@ -304,7 +304,7 @@ }, { "cell_type": "markdown", - "id": "a313d648", + "id": "b7b515ea", "metadata": { "editable": true }, @@ -315,7 +315,7 @@ }, { "cell_type": "markdown", - "id": "45638946", + "id": "915095bd", "metadata": { "editable": true }, @@ -327,7 +327,7 @@ }, { "cell_type": "markdown", - "id": "b8130f9c", + "id": "d1dd8cbd", "metadata": { "editable": true }, @@ -346,7 +346,7 @@ }, { "cell_type": "markdown", - "id": "c2a5f5ad", + "id": "1530e93c", "metadata": { "editable": true }, @@ -359,7 +359,7 @@ }, { "cell_type": "markdown", - "id": "7385a922", + "id": "e96b563a", "metadata": { "editable": true }, @@ -369,7 +369,7 @@ }, { "cell_type": "markdown", - "id": "c3413e2f", + "id": "982d1604", "metadata": { "editable": true }, @@ -381,7 +381,7 @@ }, { "cell_type": "markdown", - "id": "3349093c", + "id": "32a75225", "metadata": { "editable": true }, @@ -391,7 +391,7 @@ }, { "cell_type": "markdown", - "id": "1a33ba2e", + "id": "54f26dca", "metadata": { "editable": true }, @@ -403,7 +403,7 @@ }, { "cell_type": "markdown", - "id": "1a6045f4", + "id": "4310cf8b", "metadata": { "editable": true }, @@ -413,7 +413,7 @@ }, { "cell_type": "markdown", - "id": "7b311171", + "id": "7f7dd61f", "metadata": { "editable": true }, @@ -425,7 +425,7 @@ }, { "cell_type": "markdown", - "id": "558d3b32", + "id": "f18dbba1", "metadata": { "editable": true }, @@ -436,7 +436,7 @@ }, { "cell_type": "markdown", - "id": "deffceee", + "id": "6b6d945a", "metadata": { "editable": true }, @@ -448,7 +448,7 @@ }, { "cell_type": "markdown", - "id": "fffc54ec", + "id": "7a1244bc", "metadata": { "editable": true }, @@ -458,7 +458,7 @@ }, { "cell_type": "markdown", - "id": "6f492262", + "id": "87368735", "metadata": { "editable": true }, @@ -470,7 +470,7 @@ }, { "cell_type": "markdown", - "id": "8d378b38", + "id": "c9a49592", "metadata": { "editable": true }, @@ -480,7 +480,7 @@ }, { "cell_type": "markdown", - "id": "539d62f8", + "id": "3f2233cd", "metadata": { "editable": true }, @@ -492,7 +492,7 @@ }, { "cell_type": "markdown", - "id": "238a8e6d", + "id": "7393b1df", "metadata": { "editable": true }, @@ -512,7 +512,7 @@ }, { "cell_type": "markdown", - "id": "29e68d43", + "id": "16eb1cab", "metadata": { "editable": true }, @@ -539,7 +539,7 @@ }, { "cell_type": "markdown", - "id": "2b2ff1ac", + "id": "fadb6c5f", "metadata": { "editable": true }, @@ -551,7 +551,7 @@ }, { "cell_type": "markdown", - "id": "296d789f", + "id": "1b226a3b", "metadata": { "editable": true }, @@ -563,7 +563,7 @@ }, { "cell_type": "markdown", - "id": "77190213", + "id": "8835682a", "metadata": { "editable": true }, @@ -579,7 +579,7 @@ }, { "cell_type": "markdown", - "id": "c908c476", + "id": "94ea8746", "metadata": { "editable": true }, @@ -597,7 +597,7 @@ }, { "cell_type": "markdown", - "id": "d6df5bf4", + "id": "e8a3e5ff", "metadata": { "editable": true }, @@ -609,7 +609,7 @@ }, { "cell_type": "markdown", - "id": "825ed674", + "id": "2aeb647a", "metadata": { "editable": true }, @@ -621,7 +621,7 @@ }, { "cell_type": "markdown", - "id": "ba708b07", + "id": "c1a9041d", "metadata": { "editable": true }, @@ -632,7 +632,7 @@ }, { "cell_type": "markdown", - "id": "e7515806", + "id": "7d68af48", "metadata": { "editable": true }, @@ -644,7 +644,7 @@ }, { "cell_type": "markdown", - "id": "ec27da02", + "id": "3f16856a", "metadata": { "editable": true }, @@ -654,7 +654,7 @@ }, { "cell_type": "markdown", - "id": "0e568f9b", + "id": "6b5f1f53", "metadata": { "editable": true }, @@ -666,7 +666,7 @@ }, { "cell_type": "markdown", - "id": "50b3c398", + "id": "cdc1e2de", "metadata": { "editable": true }, @@ -680,7 +680,7 @@ }, { "cell_type": "markdown", - "id": "f67a6838", + "id": "f2d5e2ac", "metadata": { "editable": true }, @@ -692,7 +692,7 @@ }, { "cell_type": "markdown", - "id": "27095386", + "id": "6100c9ac", "metadata": { "editable": true }, @@ -704,7 +704,7 @@ }, { "cell_type": "markdown", - "id": "97e6e136", + "id": "e4ca2a6c", "metadata": { "editable": true }, @@ -716,41 +716,41 @@ }, { "cell_type": "markdown", - "id": "2f2cb2f1", + "id": "7af8ed53", "metadata": { "editable": true }, "source": [ - "which means that (using our previous example) we have" + "which means that (using our previous example and keeping track of our definition of the derivative of a scalar) we have" ] }, { "cell_type": "markdown", - "id": "19160cb4", + "id": "969a360f", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\boldsymbol{z}=\\boldsymbol{A}^T\\boldsymbol{y}.\n", + "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\frac{\\partial \\boldsymbol{z}^T\\boldsymbol{x}}{\\partial \\boldsymbol{x}}=\\boldsymbol{z}^T=\\boldsymbol{A}^T\\boldsymbol{y}.\n", "$$" ] }, { "cell_type": "markdown", - "id": "50ff8918", + "id": "bb94df46", "metadata": { "editable": true }, "source": [ "Note that the resulting vector elements are the same for $\\boldsymbol{z}^T$ and $\\boldsymbol{z}$, the only difference is that one is just the transpose of the other.\n", "\n", - "Since $\\alpha$ is a scalar we have $\\alpha =\\alpha^T=\\boldsymbol{x}^T\\boldsymbol{A}^T\\boldsymbol{y}$. Defining now $\\boldsymbol{z}=\\boldsymbol{x}^T\\boldsymbol{A}^T$ we find that" + "Since $\\alpha$ is a scalar we have $\\alpha =\\alpha^T=\\boldsymbol{x}^T\\boldsymbol{A}^T\\boldsymbol{y}$. Defining now $\\boldsymbol{z}^T=\\boldsymbol{x}^T\\boldsymbol{A}^T$ we find that" ] }, { "cell_type": "markdown", - "id": "615fbba5", + "id": "6415e688", "metadata": { "editable": true }, @@ -762,7 +762,7 @@ }, { "cell_type": "markdown", - "id": "4116f7dd", + "id": "5b3b1ecd", "metadata": { "editable": true }, @@ -776,7 +776,7 @@ }, { "cell_type": "markdown", - "id": "2ee0f30c", + "id": "a986474a", "metadata": { "editable": true }, @@ -788,7 +788,7 @@ }, { "cell_type": "markdown", - "id": "bd14b926", + "id": "af874fe9", "metadata": { "editable": true }, @@ -800,7 +800,7 @@ }, { "cell_type": "markdown", - "id": "5b7c9517", + "id": "074b1322", "metadata": { "editable": true }, @@ -812,7 +812,7 @@ }, { "cell_type": "markdown", - "id": "2a8bb990", + "id": "e8120e11", "metadata": { "editable": true }, @@ -822,7 +822,7 @@ }, { "cell_type": "markdown", - "id": "5e4cee2a", + "id": "5c4a9f64", "metadata": { "editable": true }, @@ -834,7 +834,7 @@ }, { "cell_type": "markdown", - "id": "32358c8c", + "id": "7a99ee98", "metadata": { "editable": true }, @@ -844,7 +844,7 @@ }, { "cell_type": "markdown", - "id": "582e5dd2", + "id": "d4d80443", "metadata": { "editable": true }, @@ -856,7 +856,7 @@ }, { "cell_type": "markdown", - "id": "09021946", + "id": "8faa132f", "metadata": { "editable": true }, @@ -866,7 +866,7 @@ }, { "cell_type": "markdown", - "id": "1996c675", + "id": "cbb38e2d", "metadata": { "editable": true }, @@ -878,7 +878,7 @@ }, { "cell_type": "markdown", - "id": "21a8f52b", + "id": "c57d10e0", "metadata": { "editable": true }, @@ -890,7 +890,7 @@ }, { "cell_type": "markdown", - "id": "750c017f", + "id": "7acf1bc0", "metadata": { "editable": true }, @@ -902,7 +902,7 @@ }, { "cell_type": "markdown", - "id": "ad136af2", + "id": "0268eb52", "metadata": { "editable": true }, @@ -917,7 +917,7 @@ }, { "cell_type": "markdown", - "id": "afac1035", + "id": "60003495", "metadata": { "editable": true }, @@ -929,7 +929,7 @@ }, { "cell_type": "markdown", - "id": "2b7bf070", + "id": "87737af5", "metadata": { "editable": true }, @@ -939,7 +939,7 @@ }, { "cell_type": "markdown", - "id": "2670dafb", + "id": "172d2360", "metadata": { "editable": true }, @@ -951,7 +951,7 @@ }, { "cell_type": "markdown", - "id": "63337734", + "id": "7c8b553e", "metadata": { "editable": true }, @@ -961,7 +961,7 @@ }, { "cell_type": "markdown", - "id": "bda0b6b2", + "id": "a83a35b7", "metadata": { "editable": true }, @@ -973,7 +973,7 @@ }, { "cell_type": "markdown", - "id": "db44d551", + "id": "7ad0a8e7", "metadata": { "editable": true }, @@ -983,7 +983,7 @@ }, { "cell_type": "markdown", - "id": "a389e623", + "id": "11c08e7b", "metadata": { "editable": true }, @@ -995,7 +995,7 @@ }, { "cell_type": "markdown", - "id": "a8e046db", + "id": "03529c8d", "metadata": { "editable": true }, @@ -1007,7 +1007,7 @@ }, { "cell_type": "markdown", - "id": "074cc965", + "id": "5eb85448", "metadata": { "editable": true }, @@ -1019,7 +1019,7 @@ }, { "cell_type": "markdown", - "id": "fca52100", + "id": "fee9b6de", "metadata": { "editable": true }, @@ -1029,7 +1029,7 @@ }, { "cell_type": "markdown", - "id": "9c56f854", + "id": "3fa355af", "metadata": { "editable": true }, @@ -1041,7 +1041,7 @@ }, { "cell_type": "markdown", - "id": "7a556df3", + "id": "db643ace", "metadata": { "editable": true }, @@ -1054,7 +1054,7 @@ }, { "cell_type": "markdown", - "id": "67239adf", + "id": "482c681d", "metadata": { "editable": true }, @@ -1066,7 +1066,7 @@ }, { "cell_type": "markdown", - "id": "a10c57f5", + "id": "d9ae3be7", "metadata": { "editable": true }, @@ -1076,7 +1076,7 @@ }, { "cell_type": "markdown", - "id": "a7c13076", + "id": "edc496c8", "metadata": { "editable": true }, @@ -1088,7 +1088,7 @@ }, { "cell_type": "markdown", - "id": "db2e932a", + "id": "964a61c9", "metadata": { "editable": true }, @@ -1098,7 +1098,7 @@ }, { "cell_type": "markdown", - "id": "b001a262", + "id": "d1c8b642", "metadata": { "editable": true }, @@ -1110,7 +1110,7 @@ }, { "cell_type": "markdown", - "id": "c4ec2cb7", + "id": "14b971fc", "metadata": { "editable": true }, @@ -1120,7 +1120,7 @@ }, { "cell_type": "markdown", - "id": "35bba0f9", + "id": "2213cf00", "metadata": { "editable": true }, @@ -1132,7 +1132,7 @@ }, { "cell_type": "markdown", - "id": "39d2d221", + "id": "f27f0729", "metadata": { "editable": true }, @@ -1142,7 +1142,7 @@ }, { "cell_type": "markdown", - "id": "0a18b7bb", + "id": "b5e3559a", "metadata": { "editable": true }, @@ -1154,7 +1154,7 @@ }, { "cell_type": "markdown", - "id": "d22d6836", + "id": "6e4ee9c5", "metadata": { "editable": true }, @@ -1164,7 +1164,7 @@ }, { "cell_type": "markdown", - "id": "567161ac", + "id": "e767c78d", "metadata": { "editable": true }, @@ -1176,7 +1176,7 @@ }, { "cell_type": "markdown", - "id": "28e3d37b", + "id": "2607f6ad", "metadata": { "editable": true }, @@ -1188,19 +1188,31 @@ }, { "cell_type": "markdown", - "id": "e42fd086", + "id": "eaf435b4", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial (\\boldsymbol{b}^T\\boldsymbol{a})}{\\partial \\boldsymbol{a}} = \\boldsymbol{b},\n", + "\\frac{\\partial (\\boldsymbol{x}^T\\boldsymbol{a})}{\\partial \\boldsymbol{x}} = \\boldsymbol{a}^T,\n", "$$" ] }, { "cell_type": "markdown", - "id": "8fc99a0c", + "id": "2a2ee3ae", + "metadata": { + "editable": true + }, + "source": [ + "$$\n", + "\\frac{\\partial (\\boldsymbol{a}^T\\boldsymbol{x})}{\\partial \\boldsymbol{x}} = \\boldsymbol{a}^T,\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "3ef4947e", "metadata": { "editable": true }, @@ -1212,7 +1224,7 @@ }, { "cell_type": "markdown", - "id": "86d74fd9", + "id": "00b849f0", "metadata": { "editable": true }, @@ -1224,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "554b9a43", + "id": "4f2d2dfa", "metadata": { "editable": true }, @@ -1240,7 +1252,7 @@ }, { "cell_type": "markdown", - "id": "d1affa7d", + "id": "3d2dcac2", "metadata": { "editable": true }, @@ -1252,7 +1264,7 @@ }, { "cell_type": "markdown", - "id": "cf2e3528", + "id": "c7c9832d", "metadata": { "editable": true }, @@ -1262,7 +1274,7 @@ }, { "cell_type": "markdown", - "id": "9bfab245", + "id": "75019e89", "metadata": { "editable": true }, @@ -1274,7 +1286,7 @@ }, { "cell_type": "markdown", - "id": "4e923312", + "id": "5b04e748", "metadata": { "editable": true }, @@ -1292,7 +1304,7 @@ }, { "cell_type": "markdown", - "id": "ae25f416", + "id": "223893ea", "metadata": { "editable": true }, @@ -1304,7 +1316,7 @@ }, { "cell_type": "markdown", - "id": "d616c204", + "id": "621b7821", "metadata": { "editable": true }, @@ -1316,7 +1328,7 @@ }, { "cell_type": "markdown", - "id": "c767f7d8", + "id": "d5dc18bb", "metadata": { "editable": true }, @@ -1326,7 +1338,7 @@ }, { "cell_type": "markdown", - "id": "5e10686f", + "id": "136df89f", "metadata": { "editable": true }, @@ -1338,7 +1350,7 @@ }, { "cell_type": "markdown", - "id": "0d8fd143", + "id": "3b19fd49", "metadata": { "editable": true }, @@ -1348,7 +1360,7 @@ }, { "cell_type": "markdown", - "id": "bf85a0ca", + "id": "ae5dc063", "metadata": { "editable": true }, @@ -1360,7 +1372,7 @@ }, { "cell_type": "markdown", - "id": "f8625113", + "id": "3eee6878", "metadata": { "editable": true }, @@ -1370,7 +1382,7 @@ }, { "cell_type": "markdown", - "id": "ca3f31df", + "id": "98881e46", "metadata": { "editable": true }, @@ -1384,7 +1396,7 @@ }, { "cell_type": "markdown", - "id": "32f2e67e", + "id": "2d21b7e5", "metadata": { "editable": true }, @@ -1396,7 +1408,7 @@ }, { "cell_type": "markdown", - "id": "c0571367", + "id": "b0cb659a", "metadata": { "editable": true }, @@ -1407,7 +1419,7 @@ }, { "cell_type": "markdown", - "id": "6199aacb", + "id": "86aaa708", "metadata": { "editable": true }, @@ -1420,7 +1432,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "e17aecdf", + "id": "12dc0e7b", "metadata": { "collapsed": false, "editable": true @@ -1447,7 +1459,7 @@ }, { "cell_type": "markdown", - "id": "295f958b", + "id": "ced073c0", "metadata": { "editable": true }, @@ -1458,7 +1470,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "da33d84b", + "id": "9b252462", "metadata": { "collapsed": false, "editable": true @@ -1471,7 +1483,7 @@ }, { "cell_type": "markdown", - "id": "f8656ecc", + "id": "acd397d0", "metadata": { "editable": true }, @@ -1485,7 +1497,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "10bb7d14", + "id": "c2cd60aa", "metadata": { "collapsed": false, "editable": true @@ -1498,7 +1510,7 @@ }, { "cell_type": "markdown", - "id": "43fef194", + "id": "69a875cd", "metadata": { "editable": true }, @@ -1509,7 +1521,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "c7b2d7e8", + "id": "648deb3f", "metadata": { "collapsed": false, "editable": true @@ -1519,7 +1531,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.995597266739957\n" + "0.9949937802432685\n" ] } ], @@ -1529,7 +1541,7 @@ }, { "cell_type": "markdown", - "id": "3704aaf9", + "id": "6ba117de", "metadata": { "editable": true }, @@ -1540,7 +1552,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "0942d279", + "id": "53a84803", "metadata": { "collapsed": false, "editable": true @@ -1550,7 +1562,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.007984802498580442\n" + "0.01027999506395317\n" ] } ], @@ -1564,7 +1576,7 @@ }, { "cell_type": "markdown", - "id": "a8d0b4f2", + "id": "b63a7058", "metadata": { "editable": true }, @@ -1575,7 +1587,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "6d95666b", + "id": "20110f9a", "metadata": { "collapsed": false, "editable": true @@ -1585,23 +1597,23 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0.00320321 0.00245758 0.05081566 0.0019973 0.00120436 0.0178182\n", - " 0.00900007 0.00408859 0.00048748 0.00486475 0.01992842 0.00354541\n", - " 0.02097611 0.02124814 0.05100557 0.03342039 0.01004759 0.03045198\n", - " 0.01334173 0.02570599 0.01152362 0.0055851 0.01331589 0.00670173\n", - " 0.00111016 0.00674891 0.02190496 0.01318991 0.01012542 0.00536771\n", - " 0.01056529 0.03104011 0.02194347 0.00570653 0.02260804 0.00449913\n", - " 0.01584232 0.00856436 0.01271496 0.02217472 0.00201728 0.00743189\n", - " 0.03465345 0.01961887 0.00071763 0.05253796 0.00713411 0.02597965\n", - " 0.00044036 0.04210928 0.04276324 0.01934278 0.03413554 0.03117346\n", - " 0.01696872 0.0103092 0.05179687 0.03101773 0.00419078 0.04059438\n", - " 0.0681795 0.02798066 0.01269201 0.00019982 0.00546406 0.01333519\n", - " 0.00925952 0.06136355 0.05846851 0.03697739 0.04446751 0.0707621\n", - " 0.02017735 0.01044641 0.06713371 0.01791265 0.05612456 0.02375823\n", - " 0.0050523 0.03568016 0.00771754 0.01959569 0.00679037 0.01420455\n", - " 0.09201618 0.01115073 0.00372262 0.03688621 0.05250129 0.00520339\n", - " 0.00423753 0.00267063 0.0575829 0.00228698 0.00253137 0.0280728\n", - " 0.01264352 0.01788241 0.07061848 0.00521152]\n" + "[0.00436097 0.05486516 0.0284569 0.03042532 0.05255806 0.00279707\n", + " 0.02052907 0.02230304 0.04049356 0.04875464 0.0571849 0.01328032\n", + " 0.00537238 0.05368812 0.01718359 0.00919685 0.01370514 0.01506857\n", + " 0.03391617 0.01736839 0.01644373 0.01853101 0.00043401 0.0501397\n", + " 0.01655376 0.01410563 0.00248515 0.06472468 0.01025732 0.04921476\n", + " 0.00377783 0.01632149 0.0267125 0.05363498 0.00438551 0.00650452\n", + " 0.02410491 0.05852079 0.02783602 0.05441837 0.009371 0.01651438\n", + " 0.01887299 0.04798291 0.01970507 0.05486379 0.01445124 0.06584783\n", + " 0.00363331 0.02765621 0.05439747 0.02002135 0.00886469 0.01777143\n", + " 0.03649344 0.03241934 0.02896611 0.00248403 0.06486283 0.01642653\n", + " 0.04926154 0.00057042 0.0008744 0.02936993 0.03010304 0.01815639\n", + " 0.04037945 0.00553874 0.00223388 0.01474277 0.06839199 0.0306628\n", + " 0.01057262 0.04008416 0.0391324 0.0350905 0.03760958 0.0193714\n", + " 0.0201182 0.00557755 0.04383596 0.02646579 0.02413829 0.00946466\n", + " 0.01335463 0.0125267 0.00971419 0.06107268 0.02539264 0.0227732\n", + " 0.00396906 0.02333106 0.00192092 0.02267534 0.00241645 0.00636841\n", + " 0.02635071 0.03800193 0.04967168 0.00836194]\n" ] } ], @@ -1613,7 +1625,7 @@ }, { "cell_type": "markdown", - "id": "77262b73", + "id": "b302b9c5", "metadata": { "editable": true }, @@ -1634,7 +1646,7 @@ }, { "cell_type": "markdown", - "id": "07ecffe3", + "id": "04b5adc1", "metadata": { "editable": true }, @@ -1645,7 +1657,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "6bb953ea", + "id": "6c5d7761", "metadata": { "collapsed": false, "editable": true @@ -1655,15 +1667,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 2.032142 0.27650047 3.22178183 2.62592637 -1.1157376 ]\n", + "[ 1.96008541 0.31597257 4.77260857 -0.39452621 0.29176118]\n", "Training R2\n", - "0.994910550643694\n", + "0.9958819974114181\n", "Training MSE\n", - "0.011016261190269798\n", + "0.00866641755559425\n", "Test R2\n", - "0.9949909770903465\n", + "0.9901527242749735\n", "Test MSE\n", - "0.007328424743352142\n" + "0.020056422754215136\n" ] } ], @@ -1714,7 +1726,7 @@ }, { "cell_type": "markdown", - "id": "b6523939", + "id": "ac8ecd6e", "metadata": { "editable": true }, @@ -1725,7 +1737,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "33d42837", + "id": "cc36d2bf", "metadata": { "collapsed": false, "editable": true @@ -1750,7 +1762,7 @@ }, { "cell_type": "markdown", - "id": "2ff685c2", + "id": "45aaee74", "metadata": { "editable": true }, @@ -1762,7 +1774,7 @@ }, { "cell_type": "markdown", - "id": "4bdd8f8b", + "id": "28a9e9a1", "metadata": { "editable": true }, @@ -1791,7 +1803,7 @@ }, { "cell_type": "markdown", - "id": "b663d865", + "id": "2a33a638", "metadata": { "editable": true }, @@ -1816,7 +1828,7 @@ }, { "cell_type": "markdown", - "id": "a49bbab2", + "id": "21229aa6", "metadata": { "editable": true }, @@ -1836,7 +1848,7 @@ }, { "cell_type": "markdown", - "id": "9d04ab36", + "id": "1a8c3ef5", "metadata": { "editable": true }, @@ -1863,7 +1875,7 @@ }, { "cell_type": "markdown", - "id": "7694b847", + "id": "fa17153a", "metadata": { "editable": true }, @@ -1876,7 +1888,7 @@ }, { "cell_type": "markdown", - "id": "f3bee616", + "id": "f52cd539", "metadata": { "editable": true }, @@ -1888,7 +1900,7 @@ }, { "cell_type": "markdown", - "id": "2d8765c8", + "id": "75f53c7e", "metadata": { "editable": true }, @@ -1899,7 +1911,7 @@ }, { "cell_type": "markdown", - "id": "372b1ac9", + "id": "069ab299", "metadata": { "editable": true }, @@ -1915,7 +1927,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "91b59881", + "id": "48ff7059", "metadata": { "collapsed": false, "editable": true @@ -2358,7 +2370,7 @@ }, { "cell_type": "markdown", - "id": "752bdf5c", + "id": "73e38f33", "metadata": { "editable": true }, @@ -2368,7 +2380,7 @@ }, { "cell_type": "markdown", - "id": "b448d7a7", + "id": "f91e0055", "metadata": { "editable": true }, @@ -2383,7 +2395,7 @@ }, { "cell_type": "markdown", - "id": "c44bc2b9", + "id": "92015a76", "metadata": { "editable": true }, @@ -2395,7 +2407,7 @@ }, { "cell_type": "markdown", - "id": "316b55f9", + "id": "ebafe28e", "metadata": { "editable": true }, @@ -2405,7 +2417,7 @@ }, { "cell_type": "markdown", - "id": "649ae921", + "id": "27b3c9e2", "metadata": { "editable": true }, @@ -2421,7 +2433,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "7105b779", + "id": "7d98302c", "metadata": { "collapsed": false, "editable": true @@ -2438,7 +2450,7 @@ }, { "cell_type": "markdown", - "id": "cc901b3e", + "id": "8083ffaf", "metadata": { "editable": true }, @@ -2451,7 +2463,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "a3f97306", + "id": "74135af6", "metadata": { "collapsed": false, "editable": true @@ -2466,7 +2478,7 @@ }, "metadata": { "filenames": { - "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week35_146_0.png" + "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week35_147_0.png" } }, "output_type": "display_data" @@ -2513,7 +2525,7 @@ }, { "cell_type": "markdown", - "id": "92e55bd9", + "id": "3867175f", "metadata": { "editable": true }, @@ -2524,7 +2536,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "eb0f9eeb", + "id": "145ec792", "metadata": { "collapsed": false, "editable": true @@ -2660,7 +2672,7 @@ }, { "cell_type": "markdown", - "id": "7eef8cc6", + "id": "dd2e26c6", "metadata": { "editable": true }, @@ -2688,7 +2700,7 @@ }, { "cell_type": "markdown", - "id": "929f1ffa", + "id": "8f6f5e14", "metadata": { "editable": true }, @@ -2723,7 +2735,7 @@ }, { "cell_type": "markdown", - "id": "1cf95ac7", + "id": "a2bb8567", "metadata": { "editable": true }, @@ -2738,7 +2750,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "ccf5197e", + "id": "5ce4bb30", "metadata": { "collapsed": false, "editable": true @@ -2763,7 +2775,7 @@ }, { "cell_type": "markdown", - "id": "4bc3b8e7", + "id": "9899b102", "metadata": { "editable": true }, @@ -2779,7 +2791,7 @@ }, { "cell_type": "markdown", - "id": "832c9186", + "id": "940f1206", "metadata": { "editable": true }, @@ -2791,7 +2803,7 @@ }, { "cell_type": "markdown", - "id": "33936009", + "id": "03bf3859", "metadata": { "editable": true }, @@ -2806,7 +2818,7 @@ }, { "cell_type": "markdown", - "id": "a33c046a", + "id": "5d0f24bb", "metadata": { "editable": true }, @@ -2818,7 +2830,7 @@ }, { "cell_type": "markdown", - "id": "0b6ecee9", + "id": "35c31ff9", "metadata": { "editable": true }, @@ -2828,7 +2840,7 @@ }, { "cell_type": "markdown", - "id": "9cfd4f52", + "id": "da731b52", "metadata": { "editable": true }, @@ -2840,7 +2852,7 @@ }, { "cell_type": "markdown", - "id": "b74f5c3e", + "id": "00d61525", "metadata": { "editable": true }, @@ -2850,7 +2862,7 @@ }, { "cell_type": "markdown", - "id": "0ef4d3fc", + "id": "1c7ac73a", "metadata": { "editable": true }, @@ -2862,7 +2874,7 @@ }, { "cell_type": "markdown", - "id": "b70ff7f6", + "id": "6619c572", "metadata": { "editable": true }, @@ -2875,7 +2887,7 @@ }, { "cell_type": "markdown", - "id": "b89a5aa4", + "id": "75290da8", "metadata": { "editable": true }, @@ -2887,7 +2899,7 @@ }, { "cell_type": "markdown", - "id": "a750db78", + "id": "e152366d", "metadata": { "editable": true }, @@ -2897,7 +2909,7 @@ }, { "cell_type": "markdown", - "id": "a0749f95", + "id": "ac333f4d", "metadata": { "editable": true }, @@ -2909,7 +2921,7 @@ }, { "cell_type": "markdown", - "id": "9eb89703", + "id": "1afb35c3", "metadata": { "editable": true }, @@ -2919,7 +2931,7 @@ }, { "cell_type": "markdown", - "id": "f8c543ef", + "id": "9376a434", "metadata": { "editable": true }, @@ -2931,7 +2943,7 @@ }, { "cell_type": "markdown", - "id": "6defd473", + "id": "fbfb8577", "metadata": { "editable": true }, @@ -2941,7 +2953,7 @@ }, { "cell_type": "markdown", - "id": "6a1c04c5", + "id": "4ab6ba67", "metadata": { "editable": true }, @@ -2953,7 +2965,7 @@ }, { "cell_type": "markdown", - "id": "8325061d", + "id": "3e25e9d6", "metadata": { "editable": true }, @@ -2963,7 +2975,7 @@ }, { "cell_type": "markdown", - "id": "c5f5636b", + "id": "98148a50", "metadata": { "editable": true }, @@ -2975,7 +2987,7 @@ }, { "cell_type": "markdown", - "id": "42431c7f", + "id": "89b52b2f", "metadata": { "editable": true }, @@ -2985,7 +2997,7 @@ }, { "cell_type": "markdown", - "id": "c3217f5c", + "id": "cc754f59", "metadata": { "editable": true }, @@ -2997,7 +3009,7 @@ }, { "cell_type": "markdown", - "id": "8c7d335a", + "id": "e2e4ec4d", "metadata": { "editable": true }, @@ -3007,7 +3019,7 @@ }, { "cell_type": "markdown", - "id": "14c5de11", + "id": "1cb661b2", "metadata": { "editable": true }, @@ -3019,7 +3031,7 @@ }, { "cell_type": "markdown", - "id": "1ac2af74", + "id": "906234b9", "metadata": { "editable": true }, @@ -3031,7 +3043,7 @@ }, { "cell_type": "markdown", - "id": "c2eabe21", + "id": "e68bb1a5", "metadata": { "editable": true }, @@ -3043,7 +3055,7 @@ }, { "cell_type": "markdown", - "id": "cc162020", + "id": "6f50ce92", "metadata": { "editable": true }, @@ -3056,7 +3068,7 @@ }, { "cell_type": "markdown", - "id": "f95d9da9", + "id": "8ba2037d", "metadata": { "editable": true }, @@ -3068,7 +3080,7 @@ }, { "cell_type": "markdown", - "id": "ae14a0ff", + "id": "97be0f39", "metadata": { "editable": true }, @@ -3078,7 +3090,7 @@ }, { "cell_type": "markdown", - "id": "35be5948", + "id": "8d42c384", "metadata": { "editable": true }, @@ -3092,7 +3104,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "0a445f6b", + "id": "d97d6916", "metadata": { "collapsed": false, "editable": true @@ -3128,7 +3140,7 @@ }, "metadata": { "filenames": { - "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week35_181_1.png" + "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week35_182_1.png" } }, "output_type": "display_data" @@ -3225,7 +3237,7 @@ }, { "cell_type": "markdown", - "id": "6fa524da", + "id": "ad10b896", "metadata": { "editable": true }, @@ -3246,7 +3258,7 @@ }, { "cell_type": "markdown", - "id": "b0b24191", + "id": "c7a36484", "metadata": { "editable": true }, @@ -3258,7 +3270,7 @@ }, { "cell_type": "markdown", - "id": "bc926eb0", + "id": "5f21f8fc", "metadata": { "editable": true }, @@ -3268,7 +3280,7 @@ }, { "cell_type": "markdown", - "id": "6800d55a", + "id": "a0129048", "metadata": { "editable": true }, @@ -3280,7 +3292,7 @@ }, { "cell_type": "markdown", - "id": "a5a2bc56", + "id": "7bd6d411", "metadata": { "editable": true }, @@ -3290,7 +3302,7 @@ }, { "cell_type": "markdown", - "id": "9f8bb782", + "id": "937d16e9", "metadata": { "editable": true }, @@ -3302,7 +3314,7 @@ }, { "cell_type": "markdown", - "id": "eb61b96e", + "id": "52693011", "metadata": { "editable": true }, @@ -3318,7 +3330,7 @@ }, { "cell_type": "markdown", - "id": "9964eb38", + "id": "2a38135c", "metadata": { "editable": true }, @@ -3328,7 +3340,7 @@ }, { "cell_type": "markdown", - "id": "975477ec", + "id": "0dad6486", "metadata": { "editable": true }, @@ -3342,7 +3354,7 @@ }, { "cell_type": "markdown", - "id": "6fd95915", + "id": "e42e0bfb", "metadata": { "editable": true }, @@ -3354,7 +3366,7 @@ }, { "cell_type": "markdown", - "id": "1d2d81af", + "id": "42e863ba", "metadata": { "editable": true }, @@ -3366,7 +3378,7 @@ }, { "cell_type": "markdown", - "id": "52e80563", + "id": "2c879ed8", "metadata": { "editable": true }, @@ -3378,7 +3390,7 @@ }, { "cell_type": "markdown", - "id": "c2a49d24", + "id": "ad146af1", "metadata": { "editable": true }, @@ -3388,7 +3400,7 @@ }, { "cell_type": "markdown", - "id": "456c2700", + "id": "f68a55b0", "metadata": { "editable": true }, @@ -3400,7 +3412,7 @@ }, { "cell_type": "markdown", - "id": "61ba0800", + "id": "7a73e219", "metadata": { "editable": true }, @@ -3410,7 +3422,7 @@ }, { "cell_type": "markdown", - "id": "b963fbee", + "id": "9a775ae0", "metadata": { "editable": true }, @@ -3422,7 +3434,7 @@ }, { "cell_type": "markdown", - "id": "9c186cff", + "id": "e7192b03", "metadata": { "editable": true }, @@ -3433,7 +3445,7 @@ }, { "cell_type": "markdown", - "id": "c141b391", + "id": "3f9b0d76", "metadata": { "editable": true }, @@ -3445,7 +3457,7 @@ }, { "cell_type": "markdown", - "id": "8ce09acd", + "id": "f9c6f348", "metadata": { "editable": true }, @@ -3457,7 +3469,7 @@ }, { "cell_type": "markdown", - "id": "c4e720ca", + "id": "b4a526f5", "metadata": { "editable": true }, @@ -3467,7 +3479,7 @@ }, { "cell_type": "markdown", - "id": "40e2df4f", + "id": "2a5b5c6a", "metadata": { "editable": true }, @@ -3479,7 +3491,7 @@ }, { "cell_type": "markdown", - "id": "cb3a2e9b", + "id": "4cf99028", "metadata": { "editable": true }, @@ -3491,7 +3503,7 @@ }, { "cell_type": "markdown", - "id": "9801c7a5", + "id": "7b30b4df", "metadata": { "editable": true }, @@ -3501,7 +3513,7 @@ }, { "cell_type": "markdown", - "id": "7a838563", + "id": "ada39420", "metadata": { "editable": true }, @@ -3513,7 +3525,7 @@ }, { "cell_type": "markdown", - "id": "43a676b1", + "id": "0e2f6795", "metadata": { "editable": true }, @@ -3523,7 +3535,7 @@ }, { "cell_type": "markdown", - "id": "d86c3cfc", + "id": "da2e85fe", "metadata": { "editable": true }, @@ -3535,7 +3547,7 @@ }, { "cell_type": "markdown", - "id": "44b599d7", + "id": "41c822df", "metadata": { "editable": true }, @@ -3545,7 +3557,7 @@ }, { "cell_type": "markdown", - "id": "4b664ca3", + "id": "8edd9f86", "metadata": { "editable": true }, @@ -3585,7 +3597,7 @@ }, { "cell_type": "markdown", - "id": "bb18d8d8", + "id": "4c25ebda", "metadata": { "editable": true }, @@ -3602,7 +3614,7 @@ }, { "cell_type": "markdown", - "id": "0f774654", + "id": "bb494caa", "metadata": { "editable": true }, @@ -3625,7 +3637,7 @@ }, { "cell_type": "markdown", - "id": "cdda011c", + "id": "3c10041b", "metadata": { "editable": true }, @@ -3642,7 +3654,7 @@ }, { "cell_type": "markdown", - "id": "465d9501", + "id": "ebc38b68", "metadata": { "editable": true }, @@ -3661,7 +3673,7 @@ }, { "cell_type": "markdown", - "id": "398e83e6", + "id": "b90843ce", "metadata": { "editable": true }, @@ -3672,7 +3684,7 @@ }, { "cell_type": "markdown", - "id": "53f21048", + "id": "161db2a0", "metadata": { "editable": true }, @@ -3684,7 +3696,7 @@ }, { "cell_type": "markdown", - "id": "9465f056", + "id": "6c2de59f", "metadata": { "editable": true }, @@ -3702,7 +3714,7 @@ }, { "cell_type": "markdown", - "id": "2f461adf", + "id": "b3d49d6d", "metadata": { "editable": true }, @@ -3718,7 +3730,7 @@ }, { "cell_type": "markdown", - "id": "2609e0d7", + "id": "dda31097", "metadata": { "editable": true }, @@ -3730,7 +3742,7 @@ }, { "cell_type": "markdown", - "id": "83b56810", + "id": "b3a6e245", "metadata": { "editable": true }, @@ -3740,7 +3752,7 @@ }, { "cell_type": "markdown", - "id": "0dab59af", + "id": "514ab565", "metadata": { "editable": true }, @@ -3755,7 +3767,7 @@ }, { "cell_type": "markdown", - "id": "86cb439d", + "id": "752adf02", "metadata": { "editable": true }, @@ -3767,7 +3779,7 @@ }, { "cell_type": "markdown", - "id": "6b5afd9e", + "id": "437111df", "metadata": { "editable": true }, @@ -3777,7 +3789,7 @@ }, { "cell_type": "markdown", - "id": "23c7ba81", + "id": "02573918", "metadata": { "editable": true }, @@ -3789,7 +3801,7 @@ }, { "cell_type": "markdown", - "id": "cc068a02", + "id": "68d1b1f5", "metadata": { "editable": true }, @@ -3799,7 +3811,7 @@ }, { "cell_type": "markdown", - "id": "94448e3c", + "id": "f94e92ff", "metadata": { "editable": true }, @@ -3811,7 +3823,7 @@ }, { "cell_type": "markdown", - "id": "b677f7cc", + "id": "6dbd0ff5", "metadata": { "editable": true }, @@ -3823,7 +3835,7 @@ }, { "cell_type": "markdown", - "id": "d9a2c5c1", + "id": "3e8fa491", "metadata": { "editable": true }, @@ -3838,7 +3850,7 @@ }, { "cell_type": "markdown", - "id": "5cd87a33", + "id": "6a070b8b", "metadata": { "editable": true }, @@ -3849,7 +3861,7 @@ }, { "cell_type": "markdown", - "id": "f64f24bc", + "id": "32b85195", "metadata": { "editable": true }, @@ -3869,7 +3881,7 @@ }, { "cell_type": "markdown", - "id": "755c5b4c", + "id": "b7c43e9d", "metadata": { "editable": true }, @@ -3881,7 +3893,7 @@ }, { "cell_type": "markdown", - "id": "c177ca43", + "id": "5681ed53", "metadata": { "editable": true }, @@ -3891,7 +3903,7 @@ }, { "cell_type": "markdown", - "id": "a19c8c23", + "id": "5948e503", "metadata": { "editable": true }, @@ -3903,7 +3915,7 @@ }, { "cell_type": "markdown", - "id": "893e2353", + "id": "28a2bc5c", "metadata": { "editable": true }, @@ -3932,7 +3944,7 @@ }, { "cell_type": "markdown", - "id": "b86415ff", + "id": "21affed3", "metadata": { "editable": true }, @@ -3959,7 +3971,7 @@ }, { "cell_type": "markdown", - "id": "ccfd7e2f", + "id": "9e4af542", "metadata": { "editable": true }, @@ -3970,7 +3982,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "1235f513", + "id": "927466a5", "metadata": { "collapsed": false, "editable": true @@ -4032,7 +4044,7 @@ }, { "cell_type": "markdown", - "id": "b3a18e97", + "id": "66fa447a", "metadata": { "editable": true }, @@ -4049,7 +4061,7 @@ }, { "cell_type": "markdown", - "id": "8729afc1", + "id": "f7c03d36", "metadata": { "editable": true }, @@ -4072,7 +4084,7 @@ }, { "cell_type": "markdown", - "id": "f58150c7", + "id": "6f8705f9", "metadata": { "editable": true }, @@ -4086,7 +4098,7 @@ }, { "cell_type": "markdown", - "id": "75ad45df", + "id": "b055e296", "metadata": { "editable": true }, @@ -4105,7 +4117,7 @@ }, { "cell_type": "markdown", - "id": "3b3b0d41", + "id": "dc115766", "metadata": { "editable": true }, @@ -4115,7 +4127,7 @@ }, { "cell_type": "markdown", - "id": "d26237a0", + "id": "7c31409f", "metadata": { "editable": true }, @@ -4127,7 +4139,7 @@ }, { "cell_type": "markdown", - "id": "0e532817", + "id": "41ded156", "metadata": { "editable": true }, @@ -4141,7 +4153,7 @@ }, { "cell_type": "markdown", - "id": "5b3e80ac", + "id": "3a6bc116", "metadata": { "editable": true }, @@ -4153,7 +4165,7 @@ }, { "cell_type": "markdown", - "id": "8d8ac84e", + "id": "8d2bb354", "metadata": { "editable": true }, @@ -4163,7 +4175,7 @@ }, { "cell_type": "markdown", - "id": "ee9de6aa", + "id": "2d75718f", "metadata": { "editable": true }, @@ -4175,7 +4187,7 @@ }, { "cell_type": "markdown", - "id": "c6c0698c", + "id": "9a2d7759", "metadata": { "editable": true }, @@ -4192,7 +4204,7 @@ }, { "cell_type": "markdown", - "id": "0cda837b", + "id": "7e5bf0f4", "metadata": { "editable": true }, @@ -4202,7 +4214,7 @@ }, { "cell_type": "markdown", - "id": "67ee0e1a", + "id": "a65cead0", "metadata": { "editable": true }, @@ -4218,7 +4230,7 @@ }, { "cell_type": "markdown", - "id": "72ed78bc", + "id": "a9a1048b", "metadata": { "editable": true }, @@ -4228,7 +4240,7 @@ }, { "cell_type": "markdown", - "id": "5f1eafeb", + "id": "acd65db5", "metadata": { "editable": true }, @@ -4244,7 +4256,7 @@ }, { "cell_type": "markdown", - "id": "ee5759c9", + "id": "1f9abb5c", "metadata": { "editable": true }, @@ -4254,7 +4266,7 @@ }, { "cell_type": "markdown", - "id": "cf62d941", + "id": "a8ce4083", "metadata": { "editable": true }, @@ -4270,7 +4282,7 @@ }, { "cell_type": "markdown", - "id": "90b95e12", + "id": "cd8b0a1e", "metadata": { "editable": true }, @@ -4280,7 +4292,7 @@ }, { "cell_type": "markdown", - "id": "00feffb3", + "id": "b8c780ad", "metadata": { "editable": true }, @@ -4297,7 +4309,7 @@ }, { "cell_type": "markdown", - "id": "445f80f3", + "id": "8ad7fe2d", "metadata": { "editable": true }, @@ -4309,7 +4321,7 @@ }, { "cell_type": "markdown", - "id": "35bc3f22", + "id": "fe55460c", "metadata": { "editable": true }, @@ -4321,7 +4333,7 @@ }, { "cell_type": "markdown", - "id": "9ed5722b", + "id": "d70b643b", "metadata": { "editable": true }, @@ -4333,7 +4345,7 @@ }, { "cell_type": "markdown", - "id": "1b3e4a39", + "id": "da4c03a7", "metadata": { "editable": true }, @@ -4343,7 +4355,7 @@ }, { "cell_type": "markdown", - "id": "473f552d", + "id": "26ed07fe", "metadata": { "editable": true }, @@ -4355,7 +4367,7 @@ }, { "cell_type": "markdown", - "id": "9d71cb49", + "id": "89d40885", "metadata": { "editable": true }, @@ -4367,7 +4379,7 @@ }, { "cell_type": "markdown", - "id": "70274400", + "id": "8616a68c", "metadata": { "editable": true }, @@ -4379,7 +4391,7 @@ }, { "cell_type": "markdown", - "id": "1ad896e4", + "id": "d9adfe91", "metadata": { "editable": true }, @@ -4389,7 +4401,7 @@ }, { "cell_type": "markdown", - "id": "d7278e5d", + "id": "a77cd129", "metadata": { "editable": true }, @@ -4401,7 +4413,7 @@ }, { "cell_type": "markdown", - "id": "980e810f", + "id": "645b51bc", "metadata": { "editable": true }, @@ -4411,7 +4423,7 @@ }, { "cell_type": "markdown", - "id": "d2ce7d3e", + "id": "062d0072", "metadata": { "editable": true }, @@ -4423,7 +4435,7 @@ }, { "cell_type": "markdown", - "id": "e108b08f", + "id": "da0ecb79", "metadata": { "editable": true }, @@ -4439,7 +4451,7 @@ }, { "cell_type": "markdown", - "id": "be3ebcdd", + "id": "a18bf804", "metadata": { "editable": true }, @@ -4451,7 +4463,7 @@ }, { "cell_type": "markdown", - "id": "76bbe5e4", + "id": "039dca58", "metadata": { "editable": true }, @@ -4463,7 +4475,7 @@ }, { "cell_type": "markdown", - "id": "0f9c4f1d", + "id": "a1021d12", "metadata": { "editable": true }, @@ -4473,7 +4485,7 @@ }, { "cell_type": "markdown", - "id": "ed8be893", + "id": "0d6c3a9a", "metadata": { "editable": true }, @@ -4485,7 +4497,7 @@ }, { "cell_type": "markdown", - "id": "e6593d3e", + "id": "27406969", "metadata": { "editable": true }, @@ -4496,7 +4508,7 @@ }, { "cell_type": "markdown", - "id": "e39b1638", + "id": "4b2c3ceb", "metadata": { "editable": true }, @@ -4508,7 +4520,7 @@ }, { "cell_type": "markdown", - "id": "52e608c4", + "id": "518fbccd", "metadata": { "editable": true }, @@ -4518,7 +4530,7 @@ }, { "cell_type": "markdown", - "id": "01000a72", + "id": "2d69af2a", "metadata": { "editable": true }, @@ -4530,7 +4542,7 @@ }, { "cell_type": "markdown", - "id": "46d6dcbd", + "id": "d2598edd", "metadata": { "editable": true }, @@ -4540,7 +4552,7 @@ }, { "cell_type": "markdown", - "id": "a77c857c", + "id": "f0e87f2e", "metadata": { "editable": true }, @@ -4552,7 +4564,7 @@ }, { "cell_type": "markdown", - "id": "4a481ffb", + "id": "f4fae93b", "metadata": { "editable": true }, @@ -4563,7 +4575,7 @@ }, { "cell_type": "markdown", - "id": "c2f6f636", + "id": "1bb0e7cb", "metadata": { "editable": true }, @@ -4575,7 +4587,7 @@ }, { "cell_type": "markdown", - "id": "87300bde", + "id": "12e0051c", "metadata": { "editable": true }, @@ -4593,7 +4605,7 @@ }, { "cell_type": "markdown", - "id": "760df852", + "id": "c262b54e", "metadata": { "editable": true }, @@ -4609,7 +4621,7 @@ }, { "cell_type": "markdown", - "id": "759e2d3f", + "id": "943b3188", "metadata": { "editable": true }, @@ -4621,7 +4633,7 @@ }, { "cell_type": "markdown", - "id": "ecc4bb98", + "id": "2ce03f92", "metadata": { "editable": true }, @@ -4633,7 +4645,7 @@ }, { "cell_type": "markdown", - "id": "eaa3e310", + "id": "3be7c903", "metadata": { "editable": true }, @@ -4645,7 +4657,7 @@ }, { "cell_type": "markdown", - "id": "6b5d285c", + "id": "d6b75dd1", "metadata": { "editable": true }, @@ -4658,7 +4670,7 @@ }, { "cell_type": "markdown", - "id": "99a33264", + "id": "c71ca363", "metadata": { "editable": true }, @@ -4674,7 +4686,7 @@ }, { "cell_type": "markdown", - "id": "26e27e0d", + "id": "38a2a722", "metadata": { "editable": true }, @@ -4688,7 +4700,7 @@ }, { "cell_type": "markdown", - "id": "de551b76", + "id": "78c6d593", "metadata": { "editable": true }, @@ -4698,7 +4710,7 @@ }, { "cell_type": "markdown", - "id": "67fb62a0", + "id": "9ee93856", "metadata": { "editable": true }, @@ -4710,7 +4722,7 @@ }, { "cell_type": "markdown", - "id": "8c427d6f", + "id": "c2820923", "metadata": { "editable": true }, @@ -4720,7 +4732,7 @@ }, { "cell_type": "markdown", - "id": "5df1e767", + "id": "54b7a1a6", "metadata": { "editable": true }, @@ -4732,7 +4744,7 @@ }, { "cell_type": "markdown", - "id": "c2317b94", + "id": "67981c7b", "metadata": { "editable": true }, @@ -4742,7 +4754,7 @@ }, { "cell_type": "markdown", - "id": "348c3d5d", + "id": "207f07c0", "metadata": { "editable": true }, @@ -4756,7 +4768,7 @@ }, { "cell_type": "markdown", - "id": "1437d4e5", + "id": "3b134c03", "metadata": { "editable": true }, @@ -4773,7 +4785,7 @@ }, { "cell_type": "markdown", - "id": "1d3ab300", + "id": "9fcf8b8c", "metadata": { "editable": true }, @@ -4789,7 +4801,7 @@ }, { "cell_type": "markdown", - "id": "488b3cd3", + "id": "0e710c23", "metadata": { "editable": true }, @@ -4801,7 +4813,7 @@ }, { "cell_type": "markdown", - "id": "d6f8e22e", + "id": "0616898a", "metadata": { "editable": true }, @@ -4814,7 +4826,7 @@ }, { "cell_type": "markdown", - "id": "1ec5c7e8", + "id": "773954cd", "metadata": { "editable": true }, @@ -4828,7 +4840,7 @@ }, { "cell_type": "markdown", - "id": "5baa06c2", + "id": "dbbf9782", "metadata": { "editable": true }, @@ -4838,7 +4850,7 @@ }, { "cell_type": "markdown", - "id": "494ba35f", + "id": "f9fe236a", "metadata": { "editable": true }, @@ -4851,7 +4863,7 @@ }, { "cell_type": "markdown", - "id": "92ee4c27", + "id": "8637bde8", "metadata": { "editable": true }, @@ -4870,7 +4882,7 @@ }, { "cell_type": "markdown", - "id": "a94fe01b", + "id": "407538bd", "metadata": { "editable": true }, @@ -4882,7 +4894,7 @@ }, { "cell_type": "markdown", - "id": "5f91b71b", + "id": "7f51bace", "metadata": { "editable": true }, @@ -4894,7 +4906,7 @@ }, { "cell_type": "markdown", - "id": "2deeff06", + "id": "e85983a7", "metadata": { "editable": true }, @@ -4904,7 +4916,7 @@ }, { "cell_type": "markdown", - "id": "2ec6e49c", + "id": "dbf070d2", "metadata": { "editable": true }, @@ -4916,7 +4928,7 @@ }, { "cell_type": "markdown", - "id": "6074047b", + "id": "70ed02db", "metadata": { "editable": true }, @@ -4929,7 +4941,7 @@ }, { "cell_type": "markdown", - "id": "583b9fcb", + "id": "e0148fe8", "metadata": { "editable": true }, @@ -4948,7 +4960,7 @@ }, { "cell_type": "markdown", - "id": "f4581410", + "id": "699794ab", "metadata": { "editable": true }, @@ -4958,7 +4970,7 @@ }, { "cell_type": "markdown", - "id": "b9e52381", + "id": "af07979d", "metadata": { "editable": true }, @@ -4977,7 +4989,7 @@ }, { "cell_type": "markdown", - "id": "4d1c2b42", + "id": "a99ac08d", "metadata": { "editable": true }, @@ -4995,7 +5007,7 @@ }, { "cell_type": "markdown", - "id": "c33936ea", + "id": "249de093", "metadata": { "editable": true }, @@ -5009,7 +5021,7 @@ }, { "cell_type": "markdown", - "id": "a92db40c", + "id": "d7f47bc5", "metadata": { "editable": true }, @@ -5024,7 +5036,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "1d484b1a", + "id": "a67a4b33", "metadata": { "collapsed": false, "editable": true @@ -5056,7 +5068,7 @@ }, { "cell_type": "markdown", - "id": "f1efc5cc", + "id": "1f61ec49", "metadata": { "editable": true }, @@ -5073,7 +5085,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "55c5d883", + "id": "fc222839", "metadata": { "collapsed": false, "editable": true @@ -5116,7 +5128,7 @@ }, { "cell_type": "markdown", - "id": "3e3b510f", + "id": "b68b006b", "metadata": { "editable": true }, @@ -5130,7 +5142,7 @@ }, { "cell_type": "markdown", - "id": "b3a3e0ae", + "id": "21b69d05", "metadata": { "editable": true }, @@ -5143,7 +5155,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "9a8a80ad", + "id": "079b1d75", "metadata": { "collapsed": false, "editable": true @@ -5199,7 +5211,7 @@ }, { "cell_type": "markdown", - "id": "fc0734ea", + "id": "52164470", "metadata": { "editable": true }, @@ -5209,7 +5221,7 @@ }, { "cell_type": "markdown", - "id": "9700888c", + "id": "9ec7a2b3", "metadata": { "editable": true }, @@ -5220,7 +5232,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "dab4252f", + "id": "6e1a932b", "metadata": { "collapsed": false, "editable": true @@ -5314,7 +5326,7 @@ }, { "cell_type": "markdown", - "id": "53c3ac53", + "id": "9334cd76", "metadata": { "editable": true }, @@ -5331,7 +5343,7 @@ }, { "cell_type": "markdown", - "id": "8ad7a502", + "id": "91ac595c", "metadata": { "editable": true }, @@ -5343,7 +5355,7 @@ }, { "cell_type": "markdown", - "id": "ddbefb6f", + "id": "8b977f83", "metadata": { "editable": true }, @@ -5355,7 +5367,7 @@ }, { "cell_type": "markdown", - "id": "72b21cd9", + "id": "c0383111", "metadata": { "editable": true }, @@ -5365,7 +5377,7 @@ }, { "cell_type": "markdown", - "id": "6dfd8847", + "id": "4768c293", "metadata": { "editable": true }, @@ -5382,7 +5394,7 @@ }, { "cell_type": "markdown", - "id": "c10bb802", + "id": "82a91fe1", "metadata": { "editable": true }, @@ -5392,7 +5404,7 @@ }, { "cell_type": "markdown", - "id": "071695ba", + "id": "7989cc15", "metadata": { "editable": true }, @@ -5407,7 +5419,7 @@ }, { "cell_type": "markdown", - "id": "3135bc9f", + "id": "4031cec5", "metadata": { "editable": true }, @@ -5417,7 +5429,7 @@ }, { "cell_type": "markdown", - "id": "559c3334", + "id": "8bcb0bdb", "metadata": { "editable": true }, @@ -5431,7 +5443,7 @@ }, { "cell_type": "markdown", - "id": "985ab47a", + "id": "e272744c", "metadata": { "editable": true }, @@ -5443,7 +5455,7 @@ }, { "cell_type": "markdown", - "id": "df9e9129", + "id": "6c091081", "metadata": { "editable": true }, @@ -5455,7 +5467,7 @@ }, { "cell_type": "markdown", - "id": "5f021577", + "id": "7d0385b9", "metadata": { "editable": true }, @@ -5467,7 +5479,7 @@ }, { "cell_type": "markdown", - "id": "17411592", + "id": "46ad40e5", "metadata": { "editable": true }, @@ -5477,7 +5489,7 @@ }, { "cell_type": "markdown", - "id": "0220cad7", + "id": "a7eca411", "metadata": { "editable": true }, @@ -5489,7 +5501,7 @@ }, { "cell_type": "markdown", - "id": "fe54b873", + "id": "19cd3c86", "metadata": { "editable": true }, @@ -5499,7 +5511,7 @@ }, { "cell_type": "markdown", - "id": "1ae147af", + "id": "75ddac56", "metadata": { "editable": true }, @@ -5516,7 +5528,7 @@ }, { "cell_type": "markdown", - "id": "8a99bf63", + "id": "b581d8f5", "metadata": { "editable": true }, @@ -5526,7 +5538,7 @@ }, { "cell_type": "markdown", - "id": "847e200e", + "id": "ae5c3ada", "metadata": { "editable": true }, @@ -5538,7 +5550,7 @@ }, { "cell_type": "markdown", - "id": "f4550f05", + "id": "4390ee27", "metadata": { "editable": true }, @@ -5548,7 +5560,7 @@ }, { "cell_type": "markdown", - "id": "374bbe1e", + "id": "6a5eb509", "metadata": { "editable": true }, @@ -5560,7 +5572,7 @@ }, { "cell_type": "markdown", - "id": "cbd806ca", + "id": "0e03c3a2", "metadata": { "editable": true }, @@ -5574,7 +5586,7 @@ }, { "cell_type": "markdown", - "id": "f4ba0b4b", + "id": "2ba097a1", "metadata": { "editable": true }, @@ -5586,7 +5598,7 @@ }, { "cell_type": "markdown", - "id": "28abe6ad", + "id": "f3c9cdb1", "metadata": { "editable": true }, @@ -5608,7 +5620,7 @@ }, { "cell_type": "markdown", - "id": "3aeee40f", + "id": "32e6d9e5", "metadata": { "editable": true }, @@ -5620,7 +5632,7 @@ }, { "cell_type": "markdown", - "id": "07d259ef", + "id": "8de8a015", "metadata": { "editable": true }, @@ -5635,7 +5647,7 @@ }, { "cell_type": "markdown", - "id": "5924f2d7", + "id": "078b8444", "metadata": { "editable": true }, @@ -5647,7 +5659,7 @@ }, { "cell_type": "markdown", - "id": "c6b062c4", + "id": "0dcc1243", "metadata": { "editable": true }, @@ -5659,7 +5671,7 @@ }, { "cell_type": "markdown", - "id": "7b4ec568", + "id": "d00bcae8", "metadata": { "editable": true }, @@ -5669,7 +5681,7 @@ }, { "cell_type": "markdown", - "id": "80c8cc4e", + "id": "bdfd74de", "metadata": { "editable": true }, @@ -5681,7 +5693,7 @@ }, { "cell_type": "markdown", - "id": "ab27d137", + "id": "b51d7036", "metadata": { "editable": true }, @@ -5691,7 +5703,7 @@ }, { "cell_type": "markdown", - "id": "7c900297", + "id": "2aabb588", "metadata": { "editable": true }, @@ -5703,7 +5715,7 @@ }, { "cell_type": "markdown", - "id": "f56e4736", + "id": "484819d1", "metadata": { "editable": true }, @@ -5713,7 +5725,7 @@ }, { "cell_type": "markdown", - "id": "f4ee8fd2", + "id": "63c73d58", "metadata": { "editable": true }, @@ -5725,7 +5737,7 @@ }, { "cell_type": "markdown", - "id": "c753a5f9", + "id": "0cf23ecd", "metadata": { "editable": true }, @@ -5742,7 +5754,7 @@ }, { "cell_type": "markdown", - "id": "4769b420", + "id": "9e5c7a1a", "metadata": { "editable": true }, @@ -5755,7 +5767,7 @@ }, { "cell_type": "markdown", - "id": "b02c0550", + "id": "dec48a07", "metadata": { "editable": true }, @@ -5767,7 +5779,7 @@ }, { "cell_type": "markdown", - "id": "16ec4c24", + "id": "86c4cbf0", "metadata": { "editable": true }, @@ -5777,7 +5789,7 @@ }, { "cell_type": "markdown", - "id": "201d905c", + "id": "c2196256", "metadata": { "editable": true }, @@ -5790,7 +5802,7 @@ }, { "cell_type": "markdown", - "id": "6f63bcc7", + "id": "aa745e43", "metadata": { "editable": true }, @@ -5800,7 +5812,7 @@ }, { "cell_type": "markdown", - "id": "0e39045a", + "id": "cddbb44b", "metadata": { "editable": true }, @@ -5812,7 +5824,7 @@ }, { "cell_type": "markdown", - "id": "28779e57", + "id": "3bd6cdd9", "metadata": { "editable": true }, @@ -5825,7 +5837,7 @@ }, { "cell_type": "markdown", - "id": "d7d76fd0", + "id": "980af216", "metadata": { "editable": true }, @@ -5838,7 +5850,7 @@ }, { "cell_type": "markdown", - "id": "a2113041", + "id": "22b679ba", "metadata": { "editable": true }, @@ -5850,7 +5862,7 @@ }, { "cell_type": "markdown", - "id": "41d877da", + "id": "190052a7", "metadata": { "editable": true }, @@ -5862,7 +5874,7 @@ }, { "cell_type": "markdown", - "id": "f7beeed5", + "id": "ad1528bc", "metadata": { "editable": true }, @@ -5872,7 +5884,7 @@ }, { "cell_type": "markdown", - "id": "6dc01d3f", + "id": "fc69d642", "metadata": { "editable": true }, @@ -5885,7 +5897,7 @@ }, { "cell_type": "markdown", - "id": "8fbaf3ed", + "id": "387716c0", "metadata": { "editable": true }, @@ -5897,7 +5909,7 @@ }, { "cell_type": "markdown", - "id": "200e98c8", + "id": "8d57c0a0", "metadata": { "editable": true }, @@ -5909,7 +5921,7 @@ }, { "cell_type": "markdown", - "id": "7ac27cfd", + "id": "13455d46", "metadata": { "editable": true }, @@ -5921,7 +5933,7 @@ }, { "cell_type": "markdown", - "id": "bf696c60", + "id": "3bbc2f00", "metadata": { "editable": true }, @@ -5933,7 +5945,7 @@ }, { "cell_type": "markdown", - "id": "1d4bcd70", + "id": "b7daee88", "metadata": { "editable": true }, @@ -5947,7 +5959,7 @@ }, { "cell_type": "markdown", - "id": "516462d4", + "id": "1299b1c5", "metadata": { "editable": true }, @@ -5959,7 +5971,7 @@ }, { "cell_type": "markdown", - "id": "9ce7b51b", + "id": "db23d56c", "metadata": { "editable": true }, @@ -5969,7 +5981,7 @@ }, { "cell_type": "markdown", - "id": "b0cec572", + "id": "b6b71f2b", "metadata": { "editable": true }, @@ -5981,7 +5993,7 @@ }, { "cell_type": "markdown", - "id": "67b0fa4b", + "id": "a126967a", "metadata": { "editable": true }, @@ -5993,7 +6005,7 @@ }, { "cell_type": "markdown", - "id": "ee32bb17", + "id": "45a67a1a", "metadata": { "editable": true }, @@ -6005,7 +6017,7 @@ }, { "cell_type": "markdown", - "id": "78f724ed", + "id": "efe0de6c", "metadata": { "editable": true }, @@ -6017,7 +6029,7 @@ }, { "cell_type": "markdown", - "id": "8cb8bdac", + "id": "8860fc43", "metadata": { "editable": true }, @@ -6029,7 +6041,7 @@ }, { "cell_type": "markdown", - "id": "89e76a8c", + "id": "5b14ec49", "metadata": { "editable": true }, @@ -6048,7 +6060,7 @@ }, { "cell_type": "markdown", - "id": "109178a9", + "id": "fa58f8d1", "metadata": { "editable": true }, @@ -6060,7 +6072,7 @@ }, { "cell_type": "markdown", - "id": "5533200d", + "id": "848a33e8", "metadata": { "editable": true }, @@ -6070,7 +6082,7 @@ }, { "cell_type": "markdown", - "id": "c9af410a", + "id": "45cbaee4", "metadata": { "editable": true }, @@ -6082,7 +6094,7 @@ }, { "cell_type": "markdown", - "id": "f14775b0", + "id": "c691de3f", "metadata": { "editable": true }, @@ -6092,7 +6104,7 @@ }, { "cell_type": "markdown", - "id": "7712331b", + "id": "c7e337f4", "metadata": { "editable": true }, @@ -6104,7 +6116,7 @@ }, { "cell_type": "markdown", - "id": "81c01b03", + "id": "8d417ae8", "metadata": { "editable": true }, @@ -6116,7 +6128,7 @@ }, { "cell_type": "markdown", - "id": "f2b34266", + "id": "386aa637", "metadata": { "editable": true }, @@ -6132,7 +6144,7 @@ }, { "cell_type": "markdown", - "id": "2e0b093d", + "id": "55185be4", "metadata": { "editable": true }, @@ -6144,7 +6156,7 @@ }, { "cell_type": "markdown", - "id": "8f16e085", + "id": "2a7fcef6", "metadata": { "editable": true }, @@ -6156,7 +6168,7 @@ }, { "cell_type": "markdown", - "id": "5ad5bae5", + "id": "2f2c4c1d", "metadata": { "editable": true }, @@ -6166,7 +6178,7 @@ }, { "cell_type": "markdown", - "id": "763aafea", + "id": "e3bab558", "metadata": { "editable": true }, @@ -6178,7 +6190,7 @@ }, { "cell_type": "markdown", - "id": "7344b28f", + "id": "bb50e5e7", "metadata": { "editable": true }, @@ -6188,7 +6200,7 @@ }, { "cell_type": "markdown", - "id": "bd0aa93e", + "id": "6e1bf6c6", "metadata": { "editable": true }, @@ -6200,7 +6212,7 @@ }, { "cell_type": "markdown", - "id": "58b92564", + "id": "6089b625", "metadata": { "editable": true }, @@ -6217,7 +6229,7 @@ }, { "cell_type": "markdown", - "id": "9c8672be", + "id": "68df3751", "metadata": { "editable": true }, @@ -6229,7 +6241,7 @@ }, { "cell_type": "markdown", - "id": "11590d10", + "id": "60e8783d", "metadata": { "editable": true }, @@ -6241,7 +6253,7 @@ }, { "cell_type": "markdown", - "id": "4c46b518", + "id": "75eaf332", "metadata": { "editable": true }, @@ -6251,7 +6263,7 @@ }, { "cell_type": "markdown", - "id": "b0da6a21", + "id": "d98940a5", "metadata": { "editable": true }, @@ -6263,7 +6275,7 @@ }, { "cell_type": "markdown", - "id": "9b34e073", + "id": "3a2a3500", "metadata": { "editable": true }, @@ -6273,7 +6285,7 @@ }, { "cell_type": "markdown", - "id": "029f1aa5", + "id": "ea6ff87d", "metadata": { "editable": true }, @@ -6285,7 +6297,7 @@ }, { "cell_type": "markdown", - "id": "49079af3", + "id": "eb7270da", "metadata": { "editable": true }, @@ -6295,7 +6307,7 @@ }, { "cell_type": "markdown", - "id": "735e9f4c", + "id": "1626b163", "metadata": { "editable": true }, @@ -6307,7 +6319,7 @@ }, { "cell_type": "markdown", - "id": "fccfd6ca", + "id": "5182459c", "metadata": { "editable": true }, @@ -6317,7 +6329,7 @@ }, { "cell_type": "markdown", - "id": "2aa75180", + "id": "951dec6f", "metadata": { "editable": true }, @@ -6329,7 +6341,7 @@ }, { "cell_type": "markdown", - "id": "bad889e8", + "id": "f09e051d", "metadata": { "editable": true }, diff --git a/doc/LectureNotes/_build/jupyter_execute/week35.py b/doc/LectureNotes/_build/jupyter_execute/week35.py index 4596c0021..03eae2ad7 100644 --- a/doc/LectureNotes/_build/jupyter_execute/week35.py +++ b/doc/LectureNotes/_build/jupyter_execute/week35.py @@ -291,15 +291,15 @@ # \alpha = \boldsymbol{z}^T\boldsymbol{x}, # $$ -# which means that (using our previous example) we have +# which means that (using our previous example and keeping track of our definition of the derivative of a scalar) we have # $$ -# \frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=\boldsymbol{A}^T\boldsymbol{y}. +# \frac{\partial \alpha}{\partial \boldsymbol{x}} = \frac{\partial \boldsymbol{z}^T\boldsymbol{x}}{\partial \boldsymbol{x}}=\boldsymbol{z}^T=\boldsymbol{A}^T\boldsymbol{y}. # $$ # Note that the resulting vector elements are the same for $\boldsymbol{z}^T$ and $\boldsymbol{z}$, the only difference is that one is just the transpose of the other. # -# Since $\alpha$ is a scalar we have $\alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y}$. Defining now $\boldsymbol{z}=\boldsymbol{x}^T\boldsymbol{A}^T$ we find that +# Since $\alpha$ is a scalar we have $\alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y}$. Defining now $\boldsymbol{z}^T=\boldsymbol{x}^T\boldsymbol{A}^T$ we find that # $$ # \frac{\partial \alpha}{\partial \boldsymbol{y}} = \boldsymbol{z}^T=\boldsymbol{x}^T\boldsymbol{A}^T. @@ -436,7 +436,11 @@ # We list here some other useful relations we may encounter (recall that vectors are defined by boldfaced low-key letters) # $$ -# \frac{\partial (\boldsymbol{b}^T\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{b}, +# \frac{\partial (\boldsymbol{x}^T\boldsymbol{a})}{\partial \boldsymbol{x}} = \boldsymbol{a}^T, +# $$ + +# $$ +# \frac{\partial (\boldsymbol{a}^T\boldsymbol{x})}{\partial \boldsymbol{x}} = \boldsymbol{a}^T, # $$ # $$ diff --git a/doc/LectureNotes/_build/jupyter_execute/week35_147_0.png b/doc/LectureNotes/_build/jupyter_execute/week35_147_0.png new file mode 100644 index 0000000000000000000000000000000000000000..7ef2784f5b4c18c17c0c40d386bd0a3446bf0550 GIT binary patch literal 23864 zcmb5Wby$|$*Dm@30@9*%N{h5~E8Qp{-5t{1AW~8S(j^Ka-JJ>uNOyO;I-K0NQ7V~#n-J??Q2!e1*%W1*9v!(cEhSs4ix7z~ja21Cerhywl( z2imh7@GpKBNlh13dvh0eBPTPMqLGWkJA0RRR>n`=%$%I9?Cm&N`B>SRpIW-OI5-Qi zvDyBw2UzW$EZDfqs|&$P&>Up6oMA8=Bj^vp579g;7)&=;R^pYKNBZu(yAPi0UDx5{ z-uKu~55%5ke|RMD>fs}=H?MO{1o2PtginR=FbHbk5$h9MSJy1Qi6&g z^_d*nQ!1B-bW|VWP^=n{uTA1*o_?UEO_}e%zVzrbVTj)!@C$i!*5BvTY7k*WghCDe zVePYaLxBE5__gide=7${N=QiPW+Fy}g@x4#Ars)@;yQYwGlLITj_@?WXC3Q|W#F^0 z-s2aI0b45$e0)9^?16!Sn#=^1z2NCsbau?3q9W#0Zkv#CueKR*W_AtE6mz!6Z9kyCV|z^7^w=H~R^Ep&^k@Kuh$+zX!9uU~)q zx0raBQuIEKJ@WVWPvx=w7!#wMaGnkA{ktO{+0J|;VOqabrFs9s;oJQr>?zwhWynbD~p{;9lLgKi78S1^8eQ1+N<` zM6NI4S*1r7jRL2SAIF#zp=6bahRqutgiaB7%zhr0TwBS>$@yH=)!BJ?GOAqZdwmvX zd%87Vm>`hpxj}q)0~bx2acd!t!D?@_t6g1xdu1akD%vV%@=fj3mr&f_JEH5)AC{$s z7@mVkW!~edUo4R~lh4(6g{T0A&i<83V;1vu7hobN9_But#)2RnP z{^$V;O5)Yr!GQxJA|gz)#fP6DA~;t*X{6FZ*~iyctJ)er2o-1J?t0(i&u7LDAt6rd z2^xrH#+~S1=X+75rEH36JnQ9M6ijcAFBde@T!JNqMxtr76fPWuy+@o6%C*oAs>_*J z(qCWpp z1r(lZxaI@tvfC5IRzqJ9VE31U{&nXI-j|16lpL5r;-T0a)??51>Q=Gut{3m)K7a1W zy1%giR!iow)$VB-@H4PgHN=fMUjN=M)L_V&ceKleab|K>TrR*KEU<#FztIo>)JgqEwtml6eCqIZWl6y7@=cCEK=Fzs5q{>nj-UYZ!8Ut{^IvPw$y zLPF`;;-M?MyNbPuEPv-4d0|vkR8#M2;+Pl+k2b%>9M!ho7LV0*Mi6p(94y6UWqEF- zIG2P}+0G{V-yLVsiHcsX#e=(caJ5}(Qm(lg#bF0Wg z@vUvo@OK>T!nGqC3~7dEWjw86^hXODOts5xV`G8EbE8*6eP0e9Md^0@_bNz8q~eK& zyUq9IHc8!=!uF)$gP6R#m24ANr`wmOlLnVyV{a<@?P}xG(t5!`)GddQCUe^m6zkNQ zcZA_al5l@4H|feeekUt=b6V;z3`bbp=ubg6N zPfwExd3;J_(aCf-sFn?s6cW=mXMG~N&{le_1anwi;<;HY!=5V26_>d#dnwXX$lLok z=HR^aF~7qNSNzK3i%s~gLSq4E5*H57Hy>O^<8n>btD49ZGHg`f^zer55<$4TpPwHv zRGII!+sf+d<=L!#{eH`}$6+U-R=F|q!ootrRngGU>zNu`9lNv@3++F%=0v~w?+uw+ z)}1%bD$d@f&7HTR$5OZM2oH3`@H%iY#k@3N({JDiG0GV9=N~sNXK!-mORBc-6D&MC z_>I%3ReS%y#K54xE)!Qss0k@sQo~F_;`uk}7>aj`EzNUJ-<0YLmo#iWhyKtjrOR|h zlTTNeVF-Jjv~_i%HqPru;ETJsaA6QIKf~9ZDAE!)G+g4>c-NQHMs3&2jtLHua*$;@ zWZr0qiun_-eFWX}D&u?fgX0><`}N%m@pl-R_X6Q;kFh!TCy{)r>4Ig&XE|F8avEMm z$m9y$o{UBkbB2JpXjiw4Ql!q5#%pg5T=3?0-ya@?BLcz@upA`_nwJOdIQbf-6tS_f z0nR=N2}~MJql&!C+uQP%mYbfUOiWA>V`F0~v*1xQbo2tX{_}ZvN)Q%T0#PZJpa^k& zwyTgKkie+=y>5(5xkNQwhHh;Q|EO&)N~nHgmMEe zuX$Slg3Inq0yx@ew$__CsVEYJfl$-)-C1c687$}O9P6`AK?okLvKm!^E~3icRIv4d zI6C=@^(2F^@NlDFAJFDpC-vY$LpD4SMpBD8B%e}JWE~vXiHV65l#*8T-6;Fbe}!&O zrzA!tjsIGda$h;SD=t{i)@p1wylX&es&f(Say~++dm#|n8nq{3O5?o0_|fC*+??*& z-n_h;8XoXO^CTMXoTg*l;eC5OBi!1fetSmU+pCxzh2HP7U)YZK{`Qh1eJv;sjp?^u z2DkHadHLrY|5Nm|aWS72+!7y8y89dY@bso%82iAd3o;NR>Vm}@gNP06O@2v}b`LP+ zxT`&kpd^zSRHx!T^89()mk~*4K~VJ42-o__p^=NSz{~WmBH9PA^J`_hubvK z@^wS0DF2qQFg}1co3yE~Lxb%&353WFJ>U00%Xyk0LNGd$awe*S@t9((O_yJ6^ATj;#BbKPyT zLEW`zYXzHd*UpiIgwRKD7?Ji*V%RsT$7yrTakUpi@8{=3MGafG8tE1Z zU4zalv@hIrNZR$adN3g8R~L`l{VCsD<9zNv8JnOZ^UhS9K$JbKrI<8DPdhll zB`EX6n|G7H*PYXJ!%1Y;D@t5ys`*0pJi ztmYpxAR|Voo8GYuzm4FD5|%{8kn z&smQ<9KE`RwCz4j?YEutU)XFHlifA;*Fjb(r@ExoXg#Fi?WkEQZ5JHjdtLb|qOS1s z=g)Dcb#;81epgmC_KW%z#rn-&xif@#cuTvxzCUk6KBx`8Os0{FT)I79WUKCy6_PNVCs5q-VmZfZ6wX*Q=*|DGO#udM)BUq0%_Yu4@{8pH{C_TT9 z^yK{h9N6x18{6qp!Gd@5M$9#cz)^a6d6`Zg+-`!1+%-73qa<9GZ8w+4#6lkI;GX)N z3`>&_#f*ti zdU|?veNV^7N)58Ue0gfubSM=~#;;OQdfZ$}|Ex?`rdB7tG);u378@s4#}FQ?%zFr+ z;My#?E;0G;vbV7vasrk7`2mAy|KSwavl`8SxyFC?!a zV6ha0Q(-&H6M{pjWM{`(US7_u-;})QcO3=5Rp_i;V^p=xWMX4hlD=1Xrm%N~No%KF;IMCSpO+NYRHd|mL){d*=VX$_|aPp zmc`89Idu<|GM_)CZ41?~-x_FhbKOt*vSK$x)5x_xzVCLF#eEG01t#|#XL#GQz1F5; z`DlI`>V(lsi$N99*l@&gh%}1V|o@?vtxQ|}@z1*6qw(0RYEY7Q{Ix6kM zCVugO-+ANnjN92Uhs7l7BVuB$=PvJNYoOvSt_<-JIk{pG3f2_BIA$(J`@F__7eZxbyS+H$9^Hw(JuX~Cq}M^oL=x}(LO8TCiBDj#cGkL5zOvh)-Ou&LRaPaZ>-2FTzm zK=cnDJYcsPp#^1IFWcWDR81BF3~cGk!B*r44~A-NXXVB@9Ywy>y1k; zHsKH35shI4?x;;wlFeXoH&WMrax4hwIeu~>(sNlFsB=|ix;16#)BKKJV?$tu2W?H% zf2-4dcEsbXP~wbIu=Dd}+Qk9DiKMeB$zdqwNzYUonG>xWSytuLi?ut!)$A{>T|f_L zUp9mfWVmdN^{o9FU=t8XU0XB7CgXeUlt9P95gQqask${GUW>oHj-*%OUb4MBi$3ke z7gSzax^bPu<b(+xggd&rfK^DqwtpMk9TBRis@kko9vvOYC@Qj4=j7#Sc!`1%CD&%Mu3#lYOJ#&&Kk^uEaT#2XVUD+EQN-L93BpL}lcaH&o; z9qj$>Hi;dVc_$oO^m+D3cha%0X7>8!U4!n<<)A2N0X!WKAWy@KgJnz#p=1!aO6oUK zNiK`*TP{PsE2brCqhOP1{=EhKfyn)hGl**4xk>tehO))2KxOIZ=*a!r6?uz8$h7aE zuTKHgpFQ2(PoMojY3L?F>D$AQjyK$CeR>wXb&tuLq+to4?hN-iaee^{667+UsI%ib zIOnK;abD$jkM^Bq=1-#dK)_ssBTP9e+*~GlyHme*W9&@{(H2tp;YY$vS?s0-FatqjMJ%gV5UvFce5;qR;L2bIY7?jcG`aIy(?< zj&bzRiucQ0Z=A9#7}zSE^CG9ZHCO*vLIDs9z+l;AQqVW z;(e;vHr2qX;&ESbCo)mU&-C@i`rY|zvcaA_=gOxbtG}*gwto33i`Sp@Nk4Bq>-xx9 z6k{1_Q?)UUxH+rE&#NFlG73iv4T-fTJk95Yra$iL9RgbpGMPDR1JEdo;lcKC4nz(B z=M&7$W`%v)BJFxPFkU0;dv~0t-^AI%5F2&FpPJBh?^_YRy-{Q|8W?Y$#6YcL0=;b2 z@&N07e9xz*-#gX{<-*(%g$DPrxjHdRCY3K%8(43SuSzaF3wxbx`6@|IzR?J*?3>Um z2RQR=w)$0sR~6}2%H!eYyP-2Dtn1-?Ep;oI{26NBD#O>oZGY3fa6*=fe0|vS!EbJ^ z(JbW~m0bVPX@%oHDB=zd3`@56(*It?pQ6_LY@jdb*XzuG=`8k;34O~Sv&Gkn&iwX` zkIu70XE&w9TpC@d!M?*~ylnAGY$5=mi;$V-+6tO;K?v6?7ay9wceEWBXI(er_ zEK?`0BTS3w@)gJh5lj?bcc8qc*P!OkzqrX19)D?ONtRf^j_FZNnm&a(*@DHf%6fub zo0yo=>w7=j)^N)JtMix9p*NVONb^FdCj*gh^c3|HK0-TEnc@6dccB~&xFWqA^l~{_ z+2ysKcrL4v2Y{T?D?fc2V&t$j#yB!EVhOkfKzs=2DN44s7UF4|4`%j9u(im@$)RTm zx|@R%4wHoIM_&y9Sf&H%{Is;RpOTWKL9l_aKzk?-o7M48RLX-q(c8c2=b0kD4Zo1k z#;pwzH1C9%vzB+bx$cfr?}g%v=A9$MDeY;61^*SG6q8YaLg{0bXMGABW3pwo=UQ~{ z+mO+cZKVUqAQW{?8NelzOo&kO^Yhb%JV$m^azeN)hXM``4qmidf~7Lu@@nYnlEu?2 z8lUY(nsCsn)oER>r0Ga5(|eB}!bjKpt%FnLCR&YdEc4(} zS^>1yake`v-#nQsEgV_jL#%nm92zP9Xl`!jV?lxuQB$KA8)u8suRZonB8u*G9h1{i z7hc>ocz^u2Z^V;@bc3u)rk&B>AlJv>C0iNBC9f}O1goAjD%Z4}sbW-2<;wo@rESM4 zC)Ly2+oV#@CofXY!07L29u5?=fHCQ21zfi}xF>bnL0S8}DrO)n2i3U<$`S+RRJ4w3bJQO}g0pcAj+oxhQ@A!d*JV z=)hNn1X|i62i$kf4i_ug?X5+_Ut(HZ4y`E6{w#n803AXM0ABts2+Ah?sUKYrUHQmN z&CGBgKUT5!c5~waRdbc)@OuuE-(`-gzn#wG!HJujo9E|F;Ny(9T9q8v6X28qCd_8x zBDS<9XUVMkpl>|G(@d8)7@ya?T(j=0Dv>;c!5h{nm^?#Kz@)liwDX znHfEA$G}{4!ii~QWQ3nde+_~%H3LH^seMzqsSaQiE&+i>X?In+{(b|%#XEpr+`SS63QcL9i zq#RD0=R*TF(kHA;TPXAGo*2if|5-<_UB88YAaTf>Y_{rpXZQ=-87_cNEJxPPmuErk z-wU#;oPq)-z#GPQHif&_ zoT0s?db(MF2uZtpYDXEKf9S-)q~>|C_RF52c9a$b0Q;Tazpk&IIJ@y~(n2elRLgIB zOhWRp-&_!GEvKzL!>^$?KtM>?rRP2mAyZ-j7t2dYt>P2FyUsB&x3si8Kt@i`RsaFV zvN!K_vV{^B;j*PVMQuxCVy%V%gL4ynWa4IjPlOBmguDJlzLl^x&sya*%E91v<74f` zB;mgxg#;PYtAel)hEbqqczAe7#lw?$adDwCySlpicd_-}bCK75PZweqMeZ(4q+%$1 ze+~l1@xzA?FRpDG(nY|IE&7A%xp)OG+=X^f&T$|w0N(DaT( zxvZp2n`Lf_^F1X+OQbieEyO#VcUHb)o0d{9@p=~)X7l5Ocl0x(ss}v7-DAJ`93VT= zcm`#9e*P4+C-krZ9q!ex7&a?Wu$bR5l!NkY%@T_(zOssnbllttk&%&cJb>-7_&buj zGhG?_;lqQyhHcizj~~mO{T(Ud+0;G}icafWdPjtEuT>e7ws03tlj2!rtCGdGN7?;@ z)$Y-wT&V|Fp2rUc3Q0Sz& z_Dr-D@hlh4zWnVJ6!J!u+8#cp(t9LCx%w|vzBh>p?%&tNfPgEj)IuI0dSdw#B+4P$ z?qF0`Jlt9pn$K3q z5WtwH96nKTCLK?p16Pin$z@_5UmtT!o~9r}cGxF*xUGB5{rTq}y9b>gYUzC$MnGmP zmgj1W@Wav8Pq}eC^jU^8UyI)fZ2H_WKj#X_`|YxF6rHLgCsClJp=q7w|FDWJb!b?! zqym5sc=WkHBN~%G$5fgIRyAja*8RZLA{bcXX z&MXiK9Pwr7L7R4|&0*#Ezp_A`;9Ms#X3k@Sk@ef`mWqi-Te-ji1RSQ!Y$iYP*Gld zv9*lyE0OU`eQ?Eb96}`0SSreaiv=R#@y(Wby=^9OYiWI*E!?gWUi+Z$vyzYq_rBB~nacRKxqN zhy^|U>H*II#E3JX z@20=l4T0_$a$@R=9*%&)s_r7!{#Q3wKn&UW95aaMr$u%ms+PPP6kPRwytD6n==w3) zP^OFChx4yWCee88Rg3;Rf#jc{jAEx_4Wvn_hu|}-OkgfONZnZ%$ZK#lE5bte@0@4V z;y?HA58wJZ|HakLUeM6n9G%@y?IQ-(8}A#V1sCoU^sG{`v~xPB^YCzx<=w;=Os{<9e{t*w zm?qpOjAdh0A+eA6AF;Du9PARJh1Q)#aYJ9Xfwgt`7Ze6#jb^)Jj4NVW*ItJg-Ac@9 zK3d=<7Oe`V_vHn`81&S8%7M8&E`laM?q2M5!3hPDYb=>?`sJ5g0y6-EeR&iZ=wdtk z#cdnUk>gD^LX)?*GD-~=-QwQTzJV=gBS2{3i1M~!EhJ61%Tug;btPk^(SR^LZuQ>? z;=YD?EFINAx!}Wti{#fo!nOfDtw2r+vMR)`tMBkxyU9`;BO)ixERjCU_$@FwNK|kS zvNF-_mi5HG=&LVTg!_^EJ@;7K0g8Hwl5$pr1l_y0Itc8yy~S&U>WiDh)GHLghvgmZ zvlj^r@z##^6TB~01#M&p2fmqjJT+Jl{ggdyv@!8)Qc_WFJXD#Gr+W#wfK&= zkqkFq5}mo)v?meocc~3lo8c@yL8N`J?X9*^`KBj+?8gdi7KPRVP8eurcS|WIKU1-I zRyI}!`V9U)3EfcTWPiE5bF>#gh}}RD!`sM(TRYZlCSJmp>TLzgFz1KYs36k zR$BEphZ)s3-sAePJ0~rhuOSP&H)g-)oE8|V*F8-oLgTbDMfLobadRX)Zh`ZBa=nh` z+!!A(n)glz*Rb!>1c!oh8cio@`{xFdbj`~xAY#CClvhN&_1OIA25UM{d<KHuY8kN05UeyBW{*k5VuX?}0>?_H&8#~aKnTSH- zON<{ZT-@b?3}OUA^QM{~6=*6ZpP5kyV+V2Qr5#;%AXHiDwz{<2)$$qe4x)M+?Gip; zK>(p%fppskb}njjR(>p#*n=M~qo`t-PY)$h;PF1O4n%B)!FgR0$20x&Xa}bPwT`pd zOO)vRR%O?XGi>S|;<_^}92!!gZ#LPJ@64#Bh@D--!z_TwPE)K zbd^Deqgk7Ktq{<|g3keZW~C_bzkbYDTuv)dP+&&mzel`Awz|1*Ko_TD$Xid1n~w&H za2IC5nAyea;OSm>B!|hiXCimb2B{A&-@Zd#*83uBQ3h|f$FM0=!5ws8{KUhBb+)<` zKHAjm6f?aZCW8f*|Na9K1M&5YHCR{IV%KjQUUzst$FRrj^TRHy@|U$=3z^fn=p(v2 z56%x)!rx@TKtGBQfB_!p`|SX&UPu@<^rFMmIFS?4|FD!DLrRG?i`H0x5SpBc4CX`w z&Wr-zE?OB9RW<*rFX7OVVEx!>Y&0`9pviJDo`^TGqr?j$N4^v~GyW%^9lXhY{r0?V z9OLS?RT{ygjpA|uaSd(;A}Cwt$xyMoI`@@xup{gUIw-Ft5ZQg-PzSr+iqfqx;%Txj zh30VmZfQyF_^d#Jd~qW?NvNxQ_j;jg9C9c3aEa@k-@bfp>orcCD87`_E{! zZtQIOlg|UpoTk7y@d4p7x$-)$z=M)8^j<{=PlYJIpV^qB7 zcCvZjUzu(Yyl|ez26CWS>o09i2)CeaODSagIoYf3OgZwE@IzJLd$OsT9~&alIniZW zAQb%J9~^2jhzGbJ1bkh0r;4E?GC}V?&Z6}XzgX*G!RH?ejZ=+?*jHt;lc zCHwf`+bwS$RB+Hgs)aI0x&8v~aCOUYLA_iCw%aZF+RzanOIxh))xc@Lf%;H?VoJCXElgWi)ciV!kzBUswxuFzxPXm%!Us=p`;P$ z4kKIKB`YzIU`@@cjmndfMmpHr65df9bz-fZCG+TYCt5g= z-GVF#8B!td2}F!2WZYw^a;3ssOVx=83oX-R782$m0kC#Ie&j;rZ`d>)=wO4dOH~hg z`U82*yzPw6T!UtXV}`3_Fazl;%mXMXj?j1MHE5|5vfEayizXHu`D`Eyx!$kaT9Iw` zwwUC3*q@3(mX`zjm+Y(!cJoEmYH(pu(L=m#@_Z*D4b#8&V~~E~I{UUm?^#*h*CDro z8{J-=VuJny(0_oY(eF4O(c6u2phRvHBk;kAD+IY-e+w(DBuYrfEmF=BIoTWzg1Q>-w#V|H zOzJvgahmu27!rXRFLjQq9#?1?GUiCzI-CPlE;ScB*VCnp*< zHa!hZ(3dY?*{Pc!-9^IDIy%ESga{xZEC^)HvAG zBm}-so`oXM}^z8_@2yZ#l21A(Z+ww(mGeK|>ia-q~jPkB2D@P5dNrh>J>N&oqn7DZP^gFoj zrHs71ARN7C8u&!rc1dHhsJ{s4QLvmg0#;FOe{^y(37AG=KoF(svewKouU++LrH?q6>VWb~4|&;9J8 z^zYjo{x*2&+v;~aFb%IT>-{rtk%7B_{Hq~Ac#*&LQ=vA`WCP8~!GPfY!GiaGIp}rLD`zS=IlXv7uK-K0wFX3p!H6F)3e-t~+MF%E*Kw(- zazI1|lpb`p6keNDK#}wtgRSYMippcQrUOLK9%TVEX~PB0$%9S}t;ZmT$tZ?BJhb>_ zW(&LM(g;rB#`?o z$#eF(8cA?tTtLamW&b(`q{u$4@>y`^Ys?80p`C9%*Z7z%t~}C@`4a7w&D_x_bY(tFqEicPxU7EuaF*#A)NdMvA31tB-#`aS<1pzDj~7o z-+#v5ji35GVuZKV@Dq~i;Pbjwrr|uwZPeHtZ5TJD^2*?`?CrRqBZ7WL51YwLM z@shQ{64ql_!Ze#BLdiu0UXNA=60U<-Qh}uP$9`+0nYRO;AseNF zGQR@jHwb7|x;F&BpzAt-QM z^T{Ienqj4af^;|*MoEf>s#Iav{t5)({7O8{xi@*`OXRSw^R~chC?yO7$aJ`bzYFtN zPTK|PHd!}TW_loLjhxYcL zGL6q^OKb(GXCurBKSK|&XqBU_eaV>@F-8CmcH#$?#0f$>LK-|xFG?nZ-BCv8*LxpG zg128ZV*;5w1eiMlxKaTCSJsjNrG(0nTMybuMRzt1WQ9*yRY-x2^x)foh_MR)RM7*D zbqj(F!-a3fL5C;huzG{|aXuDUPKiF!Cf}d`_)u`?O1ee2bs!rr`35M$`dDQVTmDggrp!7UFiWCCTw1)djaD;;1Va0!LTAp*>BTZU zecw*H^n+C~V(dEzYhN>KqYTb742QqB19ZRQh^Hwed;5FnOb*^qQV}**V2-uL;V452 zGiR2iW+)wkb{+v%@>ktO$MV?6!P1x~cE$yejS?TmXt+6(c>Si#z)4X^26m2CQ6l(Z zJ>6#C(K7;>*Y)H71DFO1ns?;?0j5EKU#yyZvU^VlP9I>6v#HFML}Ht~ZhU>Ti+y+Z z_A6vTOkhDZA+`G&HY#2~&Pi+$0kO+idB)*?)J>xAl%aY&2Hg7a)boI$v)3LZk6Ztl zCl4^QH&!p1V41fsVsFF%WOOPA+l%c)`zuNe!KHYex$By>En9u9@t6KW%TdXp{ogRDR zzd8IK5Fr0JG+tTAm=oaJv<};A(>C6RpcCf1suu?T1;_{Rm|>^a%HXz!U8@)#nr8eC zQ1*qhWUpoQmq_I(eFPL;l&}tr-F8@g2m5yQRnBwpo)l%61Vl0AfXcED61kzBoErCL zV~S|GgTB?j@R7#^O0RABYloRJ6^X3^P}T`?RguH)bsI8(AAvi);s;)&*Lyeg1w=-% z5e*PSR4nEfTJdeu#^4@GB9$%kM&R)5q`~276-(-+4`U8c(;q>pdICUm5IYBf${Ko+ zKAz^*`;}K~XE(4EMu4hSLb0qTlb18v%LFk&hy7#rf;Tn(_cj$mE^8!Q-=7X`8+;&u z+G1<6LuBI)jfY1-ck1_mC0Pz(Fa8)HgTyQRrOu%k#3vJT}YSVy)yg{|c zBw&D{@8`gUrt-KCvQVSDgAQl`LlUe7?RqFL&AmsI*IOpUB$pNhVTkH$SjyJrl!sH* zF~S_svN<1gFhYmsi_YvSd-(cRM9cAAThOvgL&_Mp0A zds^6N>l}~;LYJ{bJ}|e0v4y3|gmI0Gvz7qY=uZN<<>r2WG|jZn3B+aLI%-EkA#K-x&}aK}7^ZmJetPCm-+eK6@4h#Cs|cSy={V zz40HddC9i8KNR7?nFm0-r|hXH=sc6dK-ZU=skRM-C0*%Uq~2b();_2mH}Afvn5UEh zNyfpXMPCYMUf)@#cJ( zWP*f!pi@`s-`WeDOIIovQ69{BY)_V2OqChs*5HuxL~`3q=&DfxVY!5q)W}y!4AAdv z2V3g3&HA4mSjp%47d5X(jJx~U!O0`EP4@mCHOV-}Y(8Iw6uuA@G5Pv`_gI;W#?H#h z*Z~$V)Rp-EZmhQaAB|Pqw|6%Jg<3cdcVWTxpDu!d@5sdV3Whj(cG2TaVP#&vz-=Ew zs-yldF#W9*Xw220PUwUKDKaRr`m#i`Kx_SY#-=pmTsTJbjt>H-y@5!m1vi(jiJeE+ z|8Y7-piuZdYiUZ`e>hK1E>4m1qhbSx~p>4mI>Z$FR!Q>ZonS^)}f zFtw8}S@30>uS}E56N_xo2IK)1TF{YcM5#epO6d$=Bly9aHD>#N#ptCqUoqRCQc(qh zR-O8+$hy$`RDKIblqs%35Z-dCuG#G6<6jy;%B#l0QyldC+2_9UmS9|@>3Be}2~1x= za3u6gF@m!i;<-3ga+zVsuv^tl3sFhfA~!*T=o~5O?^S(3YA2_VJhqwMPN#qLOsIg zbK;;L`1$iEcq9X8-$xqV_apeY^2?&X{bYEgv=_RT^<^AZ$@Dmu8mI>bq(vDjfrtrG z-uusw-TtzFeE5=}U7SL6u&$Akw}@C_6`L{Yvv*IC};1p!lH;9xcz6A(ru z?E%X4C*L#*A3>!j5B}}lgs#|%8t6}N6Mpjl1CndbXZciAXVua~n8K|wlN(5xu3+qn zuX+a+i<(LlBd+BIs0;Xe+uLWJtidIX<>;OL8NHw5;VOS`qgGO9>cETY`3jJSuF|)w z7KQo>VHjtUEqpEC2bd~f51sj_F*z;0)H_jp!$?&gH`aN6hBpq|C@@{~b= zjyhvm_rBQIFJ}JiWM%vV0Ku&>>+>+FmO2e^o(vCO%L*0okLB#WHjEt^AS+np6!;YG z@%heHjCekm5gX~dZ~fb2OxX-D%9Sf=fTZvDsf8Td9)JN{#`Y)Q1ef8q>q*UBT21_& z;96S;BSw7QAbddH#W%?fQiiN^E}x)H)%Sr#=V1DQ_9f5EC2UWJ>HL$A z0+Pr_3+OQ|TZmn4u)_$iD+1|~Xo~0ajTq{nUxLRnZ&)1%G6ACwNKk@FVoDAFz70tH zRJ){B&8i<|d3?YZj84^ylZkp`7+b;p_hElS(6>i5KGxt;IZ^EXLacB0XMzD>o^T@; zT8|t)_6V7PzZFm}Bn1W?xxxSn0HibJ%oTcnS2YOj{{z_DBAq|1kT>VudzuDO)|Gu#EbPKZ$(3=&Y`3)#GH8!v{gGQs*Y!518_$(X=aFfO%EuB?0 zFKH@?030_83{U_ZKsWhcgag=f<>>!Hx9fu0$NXeg-uIp8sD2?Psl@6X<9h#vQV+>S zb?9tnER*Sc!0kG)f?4(t4ax)yasNX)h3>hPF59>u)7L*kXI62X{}{TJg^Jy;LA|o2 z&2t3Ld{vBaajgLY;gn*DOwJat*nUFPZ0MMxM9sU~yu9kurp_cA0yy+9= ztcSDsu@2dvk`1&J(E`46K298fdC+MtO9A%;b8L}p)czyBUKTUYNcFTjmO z%~|`2Fv$+|lw#4rH7W=Powu!@~LA^=uT|Cfp;Dojnxqm1%NXcaOf9|DswT)^RufPKcbY+KzOCtlxD+rdi$-$?Kr zF|aVjfK&n1L+dJru@S0sI+hwjrj*_hJi@Ao#lgPj!#uq1wPk?K9>KhjI6*;C=xf|)!IFnP1UgR#hv zd+0lY3nDvXJn-u#`8$}pz05pfek;JRVQMOAzfbF(U*f?ASr?@Av*&@S2f#cG;h^XP zfk=lE`;qoq>b=do-q{hpp`_-&{7to9S>VE@i-Y5kRv7-L&?wo9rQV|-8cgewa(S>+ zz3=Ws%Q*>N1e(pUTf=*D2ROm$TvNBr(2?Nl&NlPU>+me8wPe6sm0p08gB-wXswuk{ zYrs|5hiN78ztO;Q&&p&@!$E-gByCtiUdjV z>(5M79Z^mY-SfYOhPpo;8jM)PHhX-&jR5R~0KQBB2zNm#47sejrLO@!jxA1GgnWEA z-&;d~&VkF$H!M6PU?RIgj^5?@_nO%&$q|tv5e6mv1E5O>2}uHMU(1lMs{TJ6ow>x? z{y(7jM1YjuK(mvo8$0F-UUd7fdHE1A7Vq6gad+0cUyN7oCt8sjx4mKYJ?@A zesB^n0Dj9~@K5=v_@6m1z-v}mj~5)*C<5JRqK+L9FJWsIs{@d&X5NU5K>(Ea(7f#M z@UYKWN<(Ku^~!=+xWP;P8jxMOCF|WCNK<)#bS+2fZWIl*pBP8~|H0@lW^cfxTO=uO zG&Iful&OxhwzZC{QM?skR^v}1Lkaa)oDWqYpviNV3tXaG63h-B)(&UDJe)i2u*pQt zoFr8UwIbz2B*(!hpx4Rf&vbrgxf<84v2dG``Vc@!f4*M$8H74otix;GpZeDN8qo0F zeSK@&rLC;fJjNXlA({AGJ$_^E|DK=&n!C3*0XZ8*7YsKCIAIN#b_S+Ug2csaUy9i; zGV9+n!Q3bNty6o-)ku5z2wCOKy z%6-MSA=69kNVZcS)# zaBQmfXO;OP#gNr$+@4ApP2M=Fm&+k5My z95MkVC8e>6Nq9^QTeYx=NG6!()~FBjyS)Nk2{7!fHzv|4d4VF9R|x81FhT^bE&=aJ zvVXDEQ^Fl~rh{J?KG(aoaPmsYIfXvOfyqUJ zm#<3xId&yzCpJRu#2Z&sSw4r6x%W9r2L(H%phD{cjU$hZ6bl(}VdCUjje6qfB%}l= zJAm+--$Ee~3=$<3m4a3bD20-{yJbLag!&Q;^QZ9IQ}|!cE_!U`=UI+^#{we>(4-GF zwxX`oSni`SvKKf%qf4`o0WnKUO~}YoK{a`5Iq(ZB6jGL8?C-{mdpQoi`1m<*WVNjB zc~tw#N=pWIp+U$Q%~B%7jl^1i0&?+BDZM>CwVXha1(1=Eo9s%6wJ8}v?DK86h+|g^ zA=5mF&sK||f8{6SAt?xh>VUpEM3C+w0A5W~Mb5R47D8U*V+<8qig#R3KTc#L704>J z$x!Bqry@^fuTq6nRDjy}7%D`<$SM^mX&vML(1qx)?&MnnTrfsHJbW=#R5X(^P&<2) zo~kAa!kr$FPTHs7xCwt@SYgx-Mgf|{XRu7YbQ!xqkbXKwK^)(;7R0*|r-DD*xq`5M z4v8Y!NMhMjgSeQim5jIEAOH(Rf+e%2@wzk**SE+58eT~Dzwo|2qkxaf1Yz3R0LTb; z<(E#-pb%{B`c{F{tJ=EzFQOo4%Y=})iZ4hAXWYB!Mo9s}lzuvvkcFa{3E)EF>KH!t zf7xx$$pDdf_z0cZ_FfMXe68{#^fnVU+fkPzHi~B3%`|isom5-m`DrEhT0)U7LxGDHe0s?VIT9`N~xz9N{j@tjEd#j)J&La+65+{VunD{`@{ zACJ6h(5boyXLGD`Yu=t*>jX;nnGqdmGm|Z1P4)%a0iTKu8++Q$KIOlIXLC+rvb(Sf zCJxfYEuz9~s$aTPeu-mZZ`KJOVsGop`I!41%$r_oUQ+wqyIXQU+|z`5xGKHanS7mW zlFMeh3noDIwUy38-j4K_9AD+JF$wBb>g)Wm2VlyUk^!f!h&2EqzUF06B6KV11>#b4 zTuwVZ@y#`~&-j6k9Q%vA8qHOWTS)SOq3Dz630vUc_SQvBjP~V-j(F>KN+AHw3Qa;7 zoKskUmEJVLiDqL=9nW|*OlkbRYSFWmx1~;i`0>cKocnJdb$$v z&O5>RWcGe`nM_kjVvTy8UVeU(7&u z>RJx)cMXn2a=5*A=y8P%O!2IB=x3rh!=>k-qu;c5I#5}~#~XMx1OSayhZGMpabJo2 zG0KGpW81$2QeG6sC^Q#qG&<-~hRT7h03iJWf>$lzSFJm)A<2Dnzf^2*nu@{C=C~J1 zLH<=6hH~LKt57gi36}3Iw}@QY^}Z8DwdR#!@-z@~kORmCV3~kD)voXW+jTT3Dq7V@ z0pmPRO~U6*CCU9&+7#)=my1&6Ewp_vxE$XF2IjTkiGLduexjZEFx|-eS-F$vhl`xy z;#*+)XW`8N6T2`C>Ej=lpPqv_GdEef|4Ty^sFdo?rK5VlZ_nvu$2|KE=gWKY44osC z(@DO%Tzd&z2fCo?Q#*XIvQ|U|E#Mcv86pUrf&s!fcNLFQe?zC+?MWQ+^XHR1dA&ec z5q&Qa+6ZKU56C06mSo^dskjPCFF(Bu1Wd)6aepiMW6{u-^PgeFkVmR8G7{%qn(aIK zv6A%J4GyO}&j7W2t10b53-~#-f;4e{$U3v-cp@#hH{#3pac$q_^Ql)_qRrRw=f#|` z&1-LECirau&6%e>%*pPn&HEKNB)yvUHRQn47(nd{#MHclLD)3?K=hU~13FdkB;PLi z?@weDdW0;*x`5DfIM4N=Zv;wZ#L3X*C-8H(EWVHZyvPOgkXJ>Z_HispJP2l|*AYm4 zjx}U|+WaPbWQ<<5(9s;8*^-N;{m$f|1U=8X*0IH+hX13I^A2lj>(V%)*iaCq ziw&-zf)o)(yItWT0putbktBIA<~4v ztfP0nx$}(QJTv(Vcn&%H?7h$0Ywz{GzsY?aO1$f9$W|q&^bu(7<2kLLyQbW%+1Qd! zj^jMu(HBC@7L49y-Is=!9+E^QrLcy02F{%Jd@aK79=j}l+R@2f1I9kRmNrtNCIDm2 zEMGzy;nS#UZ>SD9?FmeGl!B-*KURuCRnxo0)lR3Q`surOC9tZcBjxR&mO{l{#c7ss zhozS4aX10H`X($QCW^+j`%vIRb^P4Es`feG z9i$*rZcG>Q=URH#nko0qUYc?vGHr|UF(bnz3zoNCF-1P^VD!4PZX9vJZNfc7HqU-_ z?|eb+nU0xYAQl8Rm?wb}5IOH?ByzC`Dd6LR`59rC|ZQNoe{gUNB)DbTiW`pHQ>-Vio(N0%J2R%9>zRN;MV z9`YU9=8miqdA@Q9{Wh>n2J-#{0s^MgprdoOV_XXwmk)m; z!SF0~+Da^UKOVn7QfrLNrKiS#i=s7%u^{F{F)w@AhY9Q5K_+?qz>L@6cLDAM$(rn- zAWvkWIs0_;;nIIq)P#kLeupR#(X$iIL#7cKB9JGprq!Ohzi6MFoIJ;1h=7R)eEm@r zpN3!_*uafZspkP5ga-q;7IXa{MHQk=gdUY=nD;NHvSk_~77OYw{oglez^Ah6&d>!P zU{KipGxPQPbmkBr{;jwEdb9ri{*dz?FIrw%F__J$XUHL?x!Sw8q44%p;bo`aXW)~3 z$*G`?fe-%`0J0Eu37F5nw7$@{UOhAH^$f%+r@&u>7~!D4(njzYYJ$p&R#D;Kbrkhx z1FtB^EumW~VFUDwJ=JlBGN`q>(6hi0B7;Zg7<@iP69`v8wsO+=&s(jrGWG+d`2)t_ zPKJ%1MA3xtGM6PItx*ZB9E%sOp z=EA*u3M>Z{-9JG;-ujTN(MnL{1J>2nUHrA+*=sjx0sr214h~5pfPJ079UI#*CHEja z<;NM3dVPw)WReM>DyD4SNs~XiCoS4Iex;O1fn8BtMn(qd)fEP{tJ?cM7|eF`WsLrHPM) zV!#-(swPSAf|>@H8f~qbpOwG=!gj;)ZVspe;adzQO;q(?T^@yj8wD(c1u&8>6O~?o z|6KHPEDOr12ZT!1sZ1!A^w;>Fg)7bA3Z#-!xk{^0TAO=!)Zvv*A{q33P#@%k8p;4* zY`|sud`3Uj6ww$;1n85HO|iP2dYa>oO~}arKo97xvh7bIBkPXFnAQOXCnz*@%i*I( z)4F3NKuaiLRPYFjG>pdmP94AsyXn1Pus-+r?DId-`1#)ee8CB(Qt%OWRo(Zvo@06u z>L{6`dm6?A+yduvo|Fstn6OlB*dvixuT3IwRA4j4(%O2jkkDmK&8_Foor5#ZqFE|> zuFaw&Yuf+=IV*(2LL@82?fAn6Q9D(E84FcD2#ddZY8>QXHruxcxNB_Yo*D&YTLiLN zq#zPI=aIZ0;p3V(5>;m(t5pR)iDJDU4MG*5)rlZ~yjgwsqV88&I7xy$s+OIFcr&;W@WEa0a9wp|k%8GIkJThz;f|%uy4l>vGZgA%@}0!#7LhZJbBt zxBqCAAhHDPaOB9|rr39;O}2;|-hqQ~-HTu`^?}oTN*0Sd;Pt%%NGpAk%!vLlUhCM3 z*pF`y0gw~1i3Dm?=bsY*qz%HvOcPzFr0hhsx3+L544ZxA5i_lPZ+GmSFFZUc{_{Ua zU_T)&*J$S!-c&HghEZk@|H_t`eVfi2k{y~@MJ{YJc8`xtZ29YYCFiu!S-z6OSfb+Z+9h$m7{zC3{`!Jv!TP}<$?jLhtcLg_GybEw$(wZjw2=ctu6Eu|!JO5S z!t^KaXr{XqQ9DC?B)7cN{Z1_?7FZk}#`d;T?^vM7*m$#T6$fTkik7IO+7i8;es6AW zhB123xTmAO>}Jiy5A8`B6v2nSB6*X!@?1J88<`CZH`pu2zLh5LLj_{rJc1H>&S7d}UvbqT>di)|;ds^pWBnsKI6S*{1?R(SDU?xrsGMz0&4*KN zQ&@<9n?RE2OPOw|dkZ@36zkbP&Tv1?Ycp}}mD=Z_?)>_FQ-!EqOK z9TpobBkKQ2By3F&-xSDL=$1hl`w3QVZr&kpbF;ygbwNH*XZwb;I+~29K%U`ek<8+mi_`0Vp9d)wbCyc6p-A(0Qjz0w&bc6laKL1mrKds&zVUNqq`?X2tDZ+|kK@El!SLECJ3kz%tYUe?Kwrz+Z& zUB^T6e8~;ZjiF7{p}-TFA9)LeM9}a#eQ7V`!M*gtf94&-H#i ztoyc{Jj54ekM)ad`O9#4^`)8R?u0IOnEPB@V(~GI<_k>GJ-uaX#SMdX?R{EPGnuG# zoog0Jfec2{+K0%r?>Ahk5awm+Q`w4uGj_PqMUHJp&%HxgFlYKs`JVr9Z8wjDQ^E(L zi;qW=w{Fv-&3aC#1J4j2&sqXwHZwBu#=N4WS18ZqQA0JPBU8WFUfNuC;k(oYkof+e z*q%RH`b$pbzk`C}TkYF4KRh1*jWpm9;KO6ER&`@d*+&H+pCDys0X~d$*?*I7UZ z1&&Ai>irPsqzmJsz|w=PKvY_K4=lhAt8Gxw78ds3yp3ZIH}^G%Rkx!=pHKyrCF&$8 zV;tuTzsTXe0?nR8MQH%sB+s~gBQ=<0Y6j~m_~DZq7Y}iBe|oyXMQrMd&?QmVm6-f) zUbObEi2PUKxs~GL4c|H-ef#HQ@QqAQw*b}wB&v;JwUryhDu=MXOt-SH&M`Q{tOC-6HZ@lQ6zxcT&$ctwh0?Q#&tmu;m6Qwz zH4pvMGaZD%v~{;&{rjgPfR2s}^vmONYO7!}DO3Nb;B`|p}qs4P$n-601 z;r7oWBlQaY1b9sJiJXLl1R-;Cb5D@Ri+2wVk`G;5=MO1sL7M^rai5s>Cu*XvC>$Nv z)v1EfT2ot_j2|A?rskg@8MYoEn}zV6^ju$|8kIO6fOL2q7&O$W%v@{u*{awh{l`OK z;JV?DKFkF}z+gF)yU!XsD(aI{bV&=eK}xK&nd)l?$o)5lxWNXgRF5 zVAsvRL1P>3D*2<7s}K1szhw!97Imw-^{`8;tj-j=P)aE)iY6N29|-M9X8fAQ#&MhY z#jj_foc4RDMDU>=nCRHP4hI0EgjJ!;}Xs|0A{oWFJ_hE)IIaX&3b?MRzT60? zIe`p*1Zbop3JT?|#k7006Sz=l84GYaNih1cG8UQvf5kf=RJJbu5&|5KOH6y>;D)E6OB_(v&ISN9lrV&_yp${IgSU^t&n(;SUL?~M$ww$B0 zOEVuWmRDC1c7*)iefz>ZhQ0fMmMpKr{H9;Xkz@+*CfIx$mS+mvL*Yf{uVF66)B7zV z1Rmsrp$NIc$jGP>syJcrc!Ce;5F_@3SLpQO*I_6Az}3XF?=se8$|-1M*AfOt*%mAF zpEWOCy42({)%`kBp62y;oJ4A97N47=8X?4mwZ)&=ucJhNWL9Jx29+#U2?*E%f`cExFvofZ=YaEiMzUh2KyNli3hM|euE9Av zUBxPp^dh0M`FGtb7A z%o(Kl64U)G;|Pz?cASiaN2)e;4typOE30W>d1~Y_G}WEgaO9_X(}E2a`3EQ02<;#J z8hFSl4bs8HNLZV=oORv43;bB6IDd)l{{JuSusMQH%c`$!GOM|#P-ZSr%vmmKXshR_ H-tzwsKxk7d literal 0 HcmV?d00001 diff --git a/doc/LectureNotes/_build/jupyter_execute/week35_182_1.png b/doc/LectureNotes/_build/jupyter_execute/week35_182_1.png new file mode 100644 index 0000000000000000000000000000000000000000..fd05d5b0a8abc12cdd936f3747f0f3fa27fe8087 GIT binary patch literal 27987 zcmbTe1yoh*+b;?z22x5$BL*cQ-61KRDkVq>A`Q}E&=Ml4l$3z9w4`)5(%s!%_nG)V z-?`@-=iG6|9b@mo-YnK!bH48rzj)r|t0*stg+YRWf`Wo2^+Ze=1qF=|1qC(c+7a_7No;Pu3J7)w?RR{(MA46O%+Ocje=rYB_;M))ggLy)ZPLA>3-Gb z`m3IY_mfcHd&pnAj4K*KFZc6Wcj(XW*Q6b9ma->H;Su0}-nxW}PA7f+yX|M~`yM2> zOzwCHI}Nf{3T^#jmbvxhPHB|2U`Jli+Dhwap10iG%ov}&s$T-_H7XBWk(o;mWvH-vH>Tb>z&T%l-a2Do0M7raZ?;){g7fuOA#9 z61PwDusG{(S{~H&^>K{fxFIPisrBN;tjrscFGkzJT2bCJgZ%e9=5z!3h0I7k%8udx z?;k0zBexMNM&4T@v8jiJB;d-MH*dPTyE_+csr_W1#I~i-&T3>n(>F6?jEKCUgo$5V zeV2~Tmz2x=JFRqVpb9=ZB_(B+P9;-ine3A-Q$caY{=mS%gQFuoxXz-Y2QIbhcZ?e` z@(lr`T$Z-BwLLv-3YD_EP6AR=QrvueLROR5n=WvdDyr6*v>3$1#3SX-5si&c=$~h4 zr3wY%PBmeu>c)2&E8?RoC@7GTk!{&#XlK*hyLZXi+4(Tp5P4QQ=@L6j%c}Z%uk`2H zB!VHh3C8rFD>MB>in4L5)pVHyJ#b6z2`wU9*~q1=hV1Cw@h7^-mixHe^Ar~(dh`;7 zJ`5vF+A|;kYiw*R-+c62-KX1${mV9^?cK>TbV>;xi)aLJ0ojZvgoM21)j~J-2OO5D z&&5VWQ#yvf5p^WID76!ll*A(-sQa6#`MN6s{hoyXcm0My;{uJ4%1Zd8DY=yA13d2c zpWWuPUQqT|Z+9J}v-T7>9x&7XRv0pN1BXR#m(GcqzgDKl?iLB5S@(WHUS3T@gEy;T zvtp6?3&GPJ6;AV!M!3BCZ(BN)yjN`ruiCzG^YBd0&o?-)mrE)u-$E(1Uw<`G^}e>D zfz(N;K8O;h%8%e->ho+0CMKqXgM-c#1xh_VJ=r5iczAq@c-<}+K_`^x0TJ(+arJ{1 z>%8dWUn)r$pDLM0^aq+l#2QkF%__;`>N^Q&T4N`|88vT_k+uGQyZo-TWp%DSMn+AI zs3n|Hf4)7&pPY~IokRc$i%~lngrRR>AT=-VHx~VRl+VGzf0Cp^xLuFfNjXjLu(EzZ zy>umVHxKrKHd3S};cJ;KR?I$m{0Novv$51>-46_QYY!D~7zp6RXzL#7Ja5dJmPA#p z@(`+dO}_APsM%%NKsEhYfcyFB?RUZVBuNUdUcUV3b@zQQZ1UzZ$L*Ygg1WXgEZEGT zpdcmEk5{l*Pux8*2qO9HnW(6!yq*$!!lNs|CKh9zZ#4~~hd%M*TYEXY_2OF5NJ)0% zjv85j-?Y4*L}2zqVOtjx$-C37xADKW5DRH-yy?$+fdmI^$;8x@NTu6pvHdzlQ&W?I z>GVufi0xvx=hke?G`zGu*M?ebxB4xu=C;T+rFZ1M{)zpwbgBWp@k%wnJ{Jz~I1_0X z)xyW&6SDX&mW(j3F7nML+RV4##Ko=ZOMm`)yh7md)nNou2s9tZ$=GoR8>Mu~(W*1;Y2oqL?UCmOULs{$ zE7m1(highXHuLiB(L6P&N{QTdD?}QZ;a}N|NWwYKR*S~{_lgP%+N_;dw&y$WNJ(3I z(^NLMw=Yc$^1~}f_ zNnR5zyVshs=wJ&)H^a(n;VD4^6#mm%5IU6_+@7^pPilM zzv&NzOl7fO(}G;`(a8K^w>s4NjpNhno*y^y@oSkYPpU)dRQ!jGdsA<&R~$15IPXEt z3R&z)nO0NJLzkV$yA#n>A_w)QP{qnBUty{Oa9T+{OqB@9Q zST8NV>VTWhzp>R8(V-YE(3%JD8OiLf_0!0To1Y&JWhcRct`YBgya(+;jW_zP%vQAf z+K5k;xsrbF5`_gek83njJU0&(qwVESoVBK?2Wu#1oj0MPfkSJWucGBzskcmzsyA@>vq1tbTBT)T@baVX2Mf ztDQPy?*9HILcHBoJS*p2t8TCtfk13UB6Kw+pA6DXjDni{`(ni^dW%H^L#NsM3TDZ7 z?^nez&gU#p_Ig&jKSdVoN+ENMSextDA{!sm+fTwKA{fY&_WpHUjABitdCSPkTLozI z=|i2a-Pz&TbdvwdHhN@2zm2g0vvggJ!1HTg^GFKb{)uV2;|UoJNtSt7M$^|}^j+og zR%tmM9+<`4M!qaoFl6U46Lc|PaHBzlArCLK1* z;(BD8cT+PexSMSZS&NrVAW#r^VWR@ z&pJx?lgGn_W{#)3{eyW%IEKxkljZwk`Wq8}cql?*W96Nkeos1zh@gEgF)x!yWEpy% z*abMoshpx*J1(Nr!J#F@yCEthfp%bMXli!WFu&ZeCH(T$t8C7DrW%E&O;EOoIZW^q zB?8bItv~HlSAB70GKaW@Zts`yy~`Lw_0Q?Xe&=*$kl5K5{`o-p^x2gGDph%};kC}G z^rw!^U+K1^hdH-Z)wD{iJrB3%*_?Kak+v5|##4Qj(&b%D3^|mJmc2+il^>6Et34P1 zD2)duCT=s{R~d^#0jp+-Xwa zm9R*a`AkMa;tJ#?gZeLz2yG`{=txA?y9Z~UQhIs`$)dEJe$rWNtgKJumKUi(kSgpH*zB*qm|WFsisb4 zqi=>49=g+-)5cMyJCNl$X2YD#;f!wv{${=4%gD^kg$~!(NAUdlb5m1O+NVG9!yZ28 zd^$j#a)CLEi;HJ|Z`|tmkvhxE$cT0I>eX+YW*QS~=D+nDur-Rz8SO{eshYNX$Oj(b zoL{m>;XeLF=_=XLXhZs=)yDjss9i;Oa(P+i<@e2MGT71i{c-n>O(H%%zLk}gU#3O5 zxlLQ~Z+Xc9FFkztu%x#+`on{=NQb?~~ZP+xGLk&C!&(eSeZsI0RmqIcD{7$OX@j6h@?^ z0>W(dym8yV@I{$JFtmsHHk3o_t?{&`t^sJxd0O)87)i3aN*f>lFaLE$r1W&E6cZ`)gmpE=y=jP^yV@pEe z^BgU?`PkE4@XCb7Aw|Bs(J#+?PHv8CZx*2|lJnWIi!+Fi)%xN&&d1oNs^#8=4(io% z9lh}1fJbKgm-Va&fi5?t!gMVecb)tUu(aOCu^gAmL6o#;mx~p$~^};8F_4V-mPX&&- zw2s>~=9^_B%1HjD=^sFk9LRl;n3_>8#xLJXT0p{gwIPL4^~ry3r8CY(G9<^G#-269 z*O(iNvNFL{CoO@4;G)F{-)$$WwHbUi@+EU%l~}l=&=t9=R1nfDbkTS-!}IjLC&Dp{ z1itTP?1p1EF(l5MW6w5+)wH)`1D_fyG;0w$Kha<8 z+-i&Avp?7ywm5{sfjKN9DvDtLC{DAx0InhAfDAMMw#Gc3DR{Xwm`8J)S-Vxmv_rEs za(HdDR4GlB-(h2-WN34LAMTl00IEoo(BrxH5fQfmKp2h`TfK6(pu+fB{-%;+&i7aXAruzEy&swe` ze&dt&Q_+wwMW=B)jkAnxl>81=XQ#(sIn78IHS)i^9Bz4dcx*J$#C67tdXoi3aa-L5 zHW$tNmVUT@dU~3e)!>@8ws!IF-`&3qWfJ)kCB(!!lVxs~m6u!D+0DT|&tzAgv6|Gt z=4V$N`9V{dn47Dg`127<6bt%hqSNjYAnzWi!U>6qaR)rlv$f@b`e1cj#U^V!Ua#yZ zc+;<#rV1-@slNOwpoICQzI1;Qj^>TqyFL7Z_^fUx4krCsZBWi&M;hAN0<_DWf+HiZ z8Q3kZ59WDWRG$9bpioj$Lh_*|>80*nw3cRMgVtdgn00TF2Az(`LI47U#M z=rvTqy}iBORHYirl;PA=T8(^TRNt?HkAD=BDoH(G-gp zLv09|`VQ(dC(o<$iuy+%?iLyB_u#K6q)WYTO13FTCs4dAG=AKp`Eq%ucNCr$_Tg2H z7Z$s5Ckh{5Da~3oEyg{`Km+*I%6Mg5bJ#zj=h)O`!n>`9bn_Df+Hk(u8 zBcr2I($WbK*)F?%&*9ngOb1zc-!9cc9|0N>9iM4Yap=Wdaqyu-=$!1`>G6KZmoL@+ z#B6F6ERq7(37Fg20750p`Hg2V>U5JFacW9%1B91=iV>F79w6-S_mm&C4AU%sh%HluVLf) z?AL1h`ob<<#s1!Bf~r<*Ni|&`Fbz?cA|JyW&F}c-&&R9N&;`%WPO(+fIN(GfK6ejWpAmDOZ5Ia@h)na!tCIx>a zz|vsQ6uMziAZEogH46Oq`b-LTmivQ1K(PWjgRG&(es!o05VVi4FAF|B+pE@>5EB_M zO2er{y>Q9MWGyXoCL@ug1zByofzthv%fWg57J^D6S@bbG_SeUQBoZg#g(M)JD43Lj zBbLhT?SOBT@IAYe&!5kfl$1n%QcCahs{9!jrk!mBHwv%{rL)LF z=j`m*qT=l6&B(|IqBL}Mbu9?Yb;K!*{(c)E-}~t{b3Lpw{D74sK%sy7vliMh*0Iac zVhTiSuG6jwU^W!YV>H=s?7r|kTSITMQE_o`g&iEYg-&-ux}@w5HYRPC|F+@E7#q_< z7hr=m;K01?=;%ni+g^6ORw_Z`R<5l8Vo!T}yPCS89aA`+N`ys<~?)XYa5 z!I#w@*S*Y8QBleG9X`WGGB#9;r1v2orc~kLcqi}b-R!s$*{`e+H>@(pBKWtv`k9m_ zAgvISZyPh$h=P9Tm4H^&-yabf8A&!RB`1eoH8v(Ve?Rhb zWo2c2>bsPN8((=w3f|m?1yI-i&fcEuTVg{0vec6&RiL6atnYYJx*6|~J0FxE zfgYirZ+sJqJaT{j{+Lj@W6VhZ{P|OMvenX?p&n9bHr)L~j`X+vx;#|R?VYdWWMogI zq#UP=@Doy{733xlCZ6YR79_jW`IS9-`6F5MSLBBmYN@IvB!MWx*;h$l%$*%7sm%nJ zmkVTS7X5%#bvc}kC_CL7_9x|PUx;v9{+p>@U_t=B2QcMWV=iO4c2IV9wyxHh63%(` z=|&CCV4)c)WW#q@YHn`s&T?maR#sO3J$visZT#bqGrb$2EUpJz&Yo#i6 z*mXL^3xXWCUF!7(*~8GWt-rs2;~Z8{3Qv-uk45UJk%Ym_{u+3 z>FA%bYS*n7jl1bX<7kcM2?3xqH8oYuHSSU~S>v5&rjq$A4=4sU1%D${gu}Jc^@EkX z4sMr&M}dJ~(e2CyZM3w=p#CZN>-Z#?jQZI1R{W${4HuxhBv|veoz>lk;4*q?4s9*k zrAv7knq4I}Mo_!O;sjk4)BARo`W_DJ!*aB&4j1JX7IMn^xq!BGj3~FD=b+!AqicHf znx*n-hT2WwMG$Ox(Y3MlfBzE3$Qykrj@_Yv#hnEz(=a|xxy&yc{qt!$A#@PY#4ZCm zV*miaC^12DcGT0oX1UNw1(XTH;OwpY$$?c3ZePtq1&W|UbuW=$c@Xg=9456Ow;B!X zEzI<+q^i;b&6kB*dw1fgnW-xyQmiBbrD}Qa!+*MCG)B{MUH!84u{_t~Zilq^YKT=|WJZM2C$H zoq4i!7$Q(2fj?FE$ptVt(svt9aVP~_L1^WH*FcKZhoX!41%PShkJwU@k}P4rhVox; z_a1oAN}Ee~P47(8_hLk+n}`-kRci3w{}fU^#lyqLr&8(W`l=&V4qEGV42-Ey%oQ&| z1aUb(-5;drfgA#%TVlMzRUKsa@cyUt1c>4Wse(zu?gJ$qdHjTggpIwuD=+s}216Ot zzku-Fm8L=iz+DFJNp6qF8zduXAj){q=ics^E ze%rprCgXl5pOR=cTzDBBokg$q8uXS}?yC(oH6H=}e+dm0gT-{1^t=sCKR$kc3LwR+ zt^{$07r#TlalAp=Cc;02h2JUhsiepo!UBLOgG4GwoW?}T^bp#3)Up%PK|=Mz!^6hE z%-kIIN9`R~3;Gv;GC;$e2bwBTeme*ZC`9haw-}Fw$J{uak7Ki$lht;d4byU;0|Q4H zq}mki+`D2*2|Xq}{J(BfT(|5XSn5!JvBJdI7AWo5J@NZG#0Q{e2^SastgI}F?BwL+ zo5aLY!otF_G#GQQ5~3XJ{1Q69KfWY*Fmb7d1n0|q2CU_^Yu6@_eU%Sy&8*&u!M=W7 zccw8IS|?3|YwZ6jdk)GE5gaDc&K(vh{8qAY<>nLw{dcd5*_CN+5#oCP^4H^I-J>#e{5UPS^m?jN549 zlrY8(-Df2wTFM}-{}ieu_iV{7<>_yX&FAb%RVkbT;{3{hRt(s2qo)ts)yF1T~8%0j+Idm#A-P1cdUchAPnbKs?LOiy?pZcx`EL7-Uu&5%g1 zh))7a;}wrr5%QUH)?qnPe#$_u_x`~J+u!u*%rT}uA(jWT14XX;>{aXdb5!pB-~8p; zq_3JbF!+fvSaN|vuvyPE8u8izmIV8y%|PaD)c@p|cN$z(>7Rx>XW(B244eRnRD5n+ z!>5{_o#9*jLwO=UjOQ=NJ_efBJ-d4QB-4^Sr?dJdp^LKG%ts(u-<8vT@iXaEAjVQ8 z`|B^dI_~c7bFE)P((M`o$yp9wRbIOlAL(R0 zpw8jfrLVo0&we!7VM$T`(j~MnJBe@6apH2`hcVsmzn>O%tfdY^@Z;FReSxF}E-V-) zN(u|3tgWpfdRa;N$E!Hji`@^j-A~`*iD_CM9vr*`L2hrqZ_$=;oso#!^3J&HevG(2 zZUQ&oEn=gEG!)}EZ#~{)A3Kyxk`r=SG;l2Yfm>#EpSAsi(#4bEfn?_5;^I$XQZQsp zo8-7Xr&aD0rj#f_?8IUH3xFWxslKg(C%_|>Qadw3W^LIL>sd=6KntDm3%0yJ6ygGd zf^dMax`19QVFtA76Qujp%!~(!!0YAvv6F${HYzKRip+*3fTaL+;>4H6G2}|xUP{kq zeOZN4vrX{unIh6o3;%e0B_=75`~!@&&gk&v}21A=jAI`^o)!e07OeEC>X5_ zQoyq2nlUCFgb6s@vUk5hb-GV`XcXq~&g#a*J=AjL(n1HACFc zY8Eo!(a5v!n9LYJ3G0Ot-LeN%xX^r58gMi;KfTSVI@^WL_aH3h7~K!lo*(n0X&Vw>W`$PNBZ@c;mkVih>&NuN}^xy-_$eT(%AU2J4p)Z zuvny=xWvS-RUP=#I|PsYp}bpyGW1h5O$6?u%cKBw5FZedCYF{=8s}>w5uxDyrK@V? zP8>+H2f2ZFb*Nw(6g-JI$L3Hv29125JfjX!*TunHME(pc!C6pVP7bDnKzq3KwT2x6 zArUbn`0V^UI~CVPN<@Pw1pKF7z@7j7`B-&bwjF#PvRk&Cn>2c>X4|f^Xxi=Ql;JpL(Ve=3#e68g$r9~DtFs>9mU?4Kdwcs{ zlY&X+BN~7d31Eq;7lO$J;q4Ea0yt;+#$6w7+-Ax#Y$43Z$UyW22qk?e&IswRN=>1< zbLX8@2sMlCg5q4;vCbF>P(o)1_Xr-o%DT(ta$rdH*;x_x%i;wBct5Wqavw<{Mju5Eu)X2D=@8q$ww3 zpn!zm8Y@5=CM^z^g?+|^&3gqlW-r zHN(TC1sZ1Te|nHMeoYS$kZdgf*NqKJun@u7NJ>r)j*d3<>48G2sEPtZ7;}z9h%fC= zDHIFH;O6byMv-}zt3w#l^&k##6njU)KJcQ1IdW%}AsSC&#r*o{a{#L)noIqo37u22cp9`Bk=;GvTOhWo6~yEpf-E5O-eB(hXrf zy~<8N`gJsK=;`S(76goVkAcA-vKqzm?8H$|U;is8n-GCs`V~1Z4{(1nD0Iy&$LJJ%nU<1UAwokLPcudXA zu+|aDhA4Afmmcm9OuS8CYA}N!BQ1^b^rz}1aNqAbm2MfDMS(CHgiJla`VW9mhBv%4 zUMYl(c*qKlmOB^4v6epVp3+i*F@mTgiH-CqFIwwZYu`jGpA#&UcwrR`!eq zDsgd&C%U??pxNA~r}u;D8o}I_<2J7G`(W`xUE}XR?gO3%V*)H@L+l{?9n41PM6w!6 z$0E0a3yWk_^$yi`Wgr*?RZ$CcgFRye$b*uKOGMNNyzML0C7Zff(f|^UsZsm!WTTE) z2ryP~ic!KD)RCE!gAVsIQK&bIBPDF!IFy__KV}ThP7ZC?$71%!oP!{%SsXTAehCRd zrG4?69T5^!db$eDG~s55SoAKNo106NBevB&kTpJk#)Sv3N5pIJHZZg2cgT?ivMAfU z5*RqQE`^s++`Vk8^VoDqXx!+@@RvR}Hzyg5A+IN?J;=uMr zz@1yI46vY~p}k9pSe`#TE!AGzw+b5qxgLDmF<-Oxy%xL73v6xYawHtz;65H)K$` zUpQ;UGt*=EA;Da1ZDTVHI&y(6Q8lKBh{(0;*K=)&MDR(ko~u16G2|i@nS77ru zj#ZZ8+dYwJtq}(DXTf(7(CwqAf7%(5hM!C`O2R6E^Fyyq0=e|XyrEcbj-8&+2OI&E z3BCT88apIrgYW!kFGdsb9V5<9ug;fCq8t>(J`|wNEVL98kGNn0e)$K^_Lf@Xajyar zuD>x*n2)nl<4w9NcQOAU{!GG&q@QpnA>Z1YyMW8A;(Fa5y7{`8+U<}QImBL6UmiE{ z$`cIVB3Nx)C?Mm)v5@grodL7#E9e`XrURd+mmxD9wXY0~R2)p*7;~H_udxwVA_7MR z3NHK&g7_h|iFvGN*eV+U&%n%F?e^7&vUlW|AE25$?0iPsLOyN-5JO=Dge-6BPwQ`%a*UMCg3@l z2qr_gFfwrmQ#*kF{MSsr^?yi%WP$3!qL3?K!J=;t!*CK{dySIssRz1uBfQ~|WLp$` zRxzN4*0a(f`OIQ&gC!=^PdQI+R4rb4u)unB^@gOXOQYfw!G*t>q$B}eFyf#TFMC`2PTb^?A5=Ea|umK%_`h)xcQ6IQn5 z|8GYu5$~zpv;S*9EMn*X(+`6Rd1(M9RAA3DCj~$sK)Hs4lLF2HK;Y@sRXHdJz5xLo z`J-iyHeNWC?F(IrbT9`2BI=cimBBoK`Ka(zKzoe4ldeN!^O{CVCy=DvqM{VQIso-L zHZ)XK@nLcS=u1zk(mj~HNK;Dm(oI_jv8HBq4jeRJV3u$v3T-Wk(4@fAV&R9a#1t?D zXUxOPYifD91z5y2&~l)C!073#;XH(Tk(9f`a0%!I$sn-9c%~ARY=)Ll5S+h)mt_g; zh`)}}gXca?z0IP~M=J%7$S;b=$9)&0Lm7I>iaTmrsmCIL**qL?q)Q~tAG(!Dse}Ry z+<)t`Dc;O{UU|NHZ2iy{^xVPhqeGjLz_!6bVj!!Krozw)bMo?>r_THm9$C*kfnOm8 zX&NL|;W4r*0L}|d2R}qbk%HNP2h(n>;277Aj>aS<-5)Bl=yIrHz;`lU zrVt>pVw&;;LI$;}u0%<2RMZ1u8j2h=bWCDa4{)sJ>Ei}{0hNO`Z#tCk3o3O_q9o1_ z`IzQ@9rrd+n_B>CgGQ$}RqKlaeef1Jxg4lrMEnkq;KyC)U_pXMJ`@5@$Y`VJFx}@vhzLY!dzOy=akgTut^Y*@M$4jK1nh$;ZKN1!g)ff>iB9ORsPiW2r6}SPqJM=cC#3QL!9e(6Z>DAh zxO-i|brB?=pZzR78DJ7Z48bK-gpD>GMr;zJ_Gl_<>UzagWXk}m=h&@kfTJe@{v~XL zmwv_3(!;;mIvwD{{n?nT!5Rj+^Z&{=lOZkq-`Zw~q*AP44p zO}7%Y5QnXk?Y`J!D}z(5GA;clMOITLan!b}2jS50!!g8lm3C`4qjg+Xm}h~E%<+ex z4D3m}pNE~gIl}XCLH(@)x8eZW*)=RIL$FSP=r^WDIRZz8Zf6CK15lhWedmTCN*I5= z4ys7vYFb*F7t`U)i~+T5WEB*e;<2kKo{D)gpKNslK?W!`uq2sqnk%&rdfFP-fQ`2ZkV`} z@WdB(a&ih^Pe90@BN-=tbtn_ru+*vwUe0dcFa0OZzbnoYVYLcjwRC4Ak2hH!N;YVn z-)fgBRnWJvPypNF_2_R7#C!+#%?XAI8$AQetF^(F41mi8kW?bjY;o7g#nm;h9DTp0 z(o*PTLliu?dNA!%Rnu-^V`C#27@WGqQ((`(@;48pRFakBX{7@<`58W}0WF-ptdBid zcbwls4nv8+cJx4mQ`g?!-Q_qrpFVW#uI=((FR`2yS?cGiFl8)_|K1>A7AWP0?Fr_Z zfuqpFhv^LG?IZ#98|N?;S)kDd;$5CgY{QLw7>eN+5Qro3#+|dA?4{VLtPIGE2@eSj za6A+!L96|Oga{G(l`F5*ixNQ6LA*CGXTSe|%F17we*bv*EW-z8JSHb6Rl$o>Xc!tAO6XaXz11HwmIx*)GA9mWC;DbF$JvhH z5Fs)aNdUFXW29R`oEJkG$Gai=PShK_EC031ojl3ugUx9#s-ND^WBDm;-~kQhCr3iO zfk1+3<<*q*cB%JqO3zI^yzSbl2aJpXAf+w!rfs+8UJKUwGBxc(CV=06nQt$jw&g~m z`ycw-o)wQ`M68}Zd2F{nCV;>RAVvqk;$ZB+00b+@=%ew zro*OvKM9~F&A`Z%As{}`C6R#xL=yxae8r$03(+VcT&KVcfPWecJ`t*`t9Si;`fzW3 zJZ@h9^z?MF)Sj8kVvPOw-FrfZ$Hz7Y8@d1)d;$W*v-{ah2Ofb-xd6idB!(B5hiu4f z0wFKd3K}Y^_b`8hFb=r2T5zRc=g~ephJg;Jf*B&w0fX`&4n=aj30LBSP`d=i-aJS% zn53Nk(5K)+ckbA1B?3qQz=haQ&_nOo&?Z6Yk_f^epeGV=kCm}PYAJ~4gJq6v^Br;X zFmKDIA(IH%Ubb0Jii|jbF$o4q6SPNUjtTypWyK!q0Zd!^dpUdLgl2x!R5}a)5Oal0 z!~H|v8z}(hD^j|f(J(CoHmx8CPCvk!0_O-BRC@%(uL6`s)1bw%az3Pu!|V|7W~P>9 zfI5ttg`Keb;N^+IG|NI?`fZpsa&R_clH>!qP&%AJ3TAf~deiX0ib{s4qCSoWjHnB^ z$&pDLbhjsfm_SlySMNWBb`Q2JD8N%N77rZm|HL#E$mq8>HeP~h0JOdftSW7XNpwOc zE#rl9hvU^E#9)VxmJDr-{moy0Fce`f{$+1F!h>NopgpY&7X^X!MB)_++fw6k9q#}- z9}GotelvX|4R9yH{rn7BMz{hTop`yB>0k_AJo20KlX)T4OpUPi7(OH`yiam|Jri&^8cIHPLuvY^pXE^u>?EB zxHfJ7&n{MP){EnkA$p(jMIa!`AU{GRhbKomefw{WwlKs_{H$@E-$Ii;ushGKMgu41 zn{&@`!)OPk!OfS=>)Rpi<3aR9m6>AiVL(+a=jD4{fvZaV;t~?97Gq`nw+TdMQu4fu zra77OQn_^oy(q@#I|$tFy2Iq8H6u57By=3X=cL(XTYkDqxeb&GrFTWtw4Xe=24@=b zZHW?yWMt&#re>6ilZ9>RjDNknx5O{oN%({2oTNGfL?#2Z+tXGZ&T+vXs>a99eIwQ| zsA6Ma{C=+CahcXOVd-W<>s1}4=I2fw7$iVW)df0czrZP{)s1YG*SM5^@|kxhgnH5j z*_XrYtG6%=bgA6I2H$DyC~%;Nns@a$Y9!g2oiq;XV*i|wP}ST+_6ce!>DrycjZOaj zcMc;pePP{b`ywGJ$T?58A&7^ zN*kPA$tKo?%p&K;xypW3EuKU-qs|h4>f=t~_mTfLA!wk7Lo%DRaH0ripunF8ABRJs zf!h%p1VsCG={QB1s_*gDFj7aLH`%Dec*Q8 zFu}|}N-8oF@b4kOm`3#3z9qC0?B<$r(ZN%}TZi-NTV-|zd?s-n!YLmHib^}FlVVQz z1U%^~J4(#h6dqbYUWbK-;)6v|jm(w;Vc~W^;|Jp0wwV<%-4J91(z$wJwpNL9_+=Q+ z4bCi;bW5K69im2OnfjG$ZB-J1qs*{+$Z)~i*|vF&Zax_3fqKsh3J-{EF{^@uyK3MC z-6SPFuC3aVPVCD0&**tb&BYjTJ48hBpnliw=3-}sH-$e$mRO)D8@S14g zkv?s~Uj0i?Kb77TqbF}<#bSH{C=f-D4c2X4?__4nhGqrn!#fNE?_zEf>-JJPi zPOZ(Ci-WAe3X)ORjENcQeOI~f;FB$DRdaF}$sh2qYc z(dhB!?KP}Vg_a)G_!r9%yl(5{dEMPB5hYWFv+MBX+>0C>biU2J21OL`xdY|1)gDRf zVqDCuH`>GbKA%8^>AIbdm}5nxd{|mc7Ij<%g6P7i3DZ5?;PrNKi=Txc>nB$6NlLaR ziu;HheGEoojGK_D%(fbgQO6v~TLk13 z`%krga{DM*l=%fkZCZKSvBOLI!?-R7s3^MR=^H~dH?XqPGF81w z@TpMOlvVMqE>^&S=}pCg+(zIsO0>zGc!ve22KQZEsedoMqOr@UwLhjqY45d4XuxsT z7j!?%GxlSDOV`^b)ZV|=8gy$($jf4};vVGH+d*7bs>wFv znbg@#g0w}#x8MC+BifS%Y;#PC#z7*2h>VALk4(u6?S6gu(RlwtXVogTTVyYibbZ(F z+8J$K|F$ZdyEHuCRxJVLpVpc+Qt2GBVedRmdIKl=du?cwLqw+WVvZQ<#YqUC6lpp6 zmlo%Rp_OT$^{#$X@KQ=qe=g(w0OQU@aPtStryJUwzfvtpxK~4>=T$C&OwW^t(|*5* z!%eX_LTkbSIr-;IeWQ`jy4J4CnYW*`f+>(g>gp$lt4{_>JpDB+yHogfk6jJnO;l9K zvtGOB&KM^>C_bFipQ^6&6C*oF=UuZjZ?X7VBbPV~g#3xmY_W_fz;wpaqB9crRv*q$ zPDk!l?BZTgt4b2xx`B5l5H_XCd;=i>l+t0;zvv+i6Pk6xAvVCt}I1 zty|YuL^caz)<;jeYng||0)>k1suZ(sjVEzPTA%9LIaO@X&c$_impkV|%Qm@q#l;<_ zd6ZRsTrM6JUo>6FSY{)(w07On$ifpRwP#Kaim2Z;WLFX*)!DMR{tRcMTGG{q5T4RN z3@U|Q94D!3q_mMxHfuv-&@Q2&EG8W52|mxiN7(G&N;^0$!+IkSooyo8f6n)ANMml} z)5*n<4E`m_!t6&HKaXdV-F5Zf7(s;Gyr29NlyfV43vngu4u>p;z7W2R|JC+FH9#hDDOW6fiIDn%C>1miu~7)Vn7D#}t;doqC)ST+ zNfX{%`|rJqkp9kB^OJ|#+0V*m#9fMX=*Sh3)zgFNAvi^;caiX1iP9c{m>g>5y)k|q zq-yYX*^7r2Z~gX1F70Nxmo|FDF?&)?CmmE}{Clj9Dll?%Ge&#ze;ocCz`HdOI3#W8 z;Mxa6nP>BYkm2+_+j({27*Fw4E>?%?=6~vQpaPre_S-xoaBqju4}ZPVqBJop#i&}O zj@|jT>76V>P#1}$rP4JIFL5^8y6d40h2wz=`U`$|F5A@tTG^CnE8Hr>!Ts|s%A?h+ zNaXpT$)`Mz+%R$oPe2n!HTjvfAw6(Ex;Z(oE06O#{P`c`e( z5ne%ZDlQ>)L=*;<80!42UYuc6(H=D=rMAB$T517(MQ4TFYvz)3?;QSrSGjTBvZ22% z*86tY?*+<7Ycpih4I*WDt;W4kJIaqeE*ERE%TxW^h7B+X!R5VNB@x$Ln?rYbMD`acJ`M(DmeF}6Ujzoami5%7go%4cU)WZiI9syq zpR-+wJKm@wCKB?RBOm`|t0pqzcd_;F$j+Uy(&AivpQDY~pdZssr|w%bBcGl1@8)Zp z%1N6J7G(Ip-1%`oG@2zwBY+RN_bstGBhewc{NUKZlJD`4loU8aYwiG^ z3(7l*#K(zU{4K*q%etC}gFhOj|3TCo)!6gsLkfb3^#(ZHbed@_xQnww7X4|ZvdAT_ zttQm5-7Jb;Tq(4Sy$lA#kYfg5cKd-K4`+!|KrR8vm}dACM8Xar!oN&)N~|Biw7jF^ z8z=@a`JgU#+S#JEJSig1F;qdRKRuzhnB(D)0B9c+N6~*1nLKN7K6MHNKNyh;0zCu| z9F2|M>bs>B$hVWgP(d7#n)YjU61$aw#~{feB&x{Hlcg!|@JUu%&4{D+z9I7mP7nR$ zsuB~+b6%g$9uLKZYX@-Q++lM$Bnih ziO1RuYXe%2&~bxV<8~r5Qkc#IJA4|B(KIWoA|sQw3lZ1z%k~5$qxd%0%UR0`4TLxg z)z24hCFHcg@mBbL21UisUC3Eget!O6rtlRFs6YZ@genx42f|>o&o;4P!a_;C>Bu9& z_{)QGaE`^G)V>)r5vlrmRmrQt+e1e20&TG|rFuin$>jjy^2>AQ&zJ=^Y zlL1PgVQ+GO)oa2)>1#b9ztrJ7U(}sUFi4Ntzt6dU^6OcB*!f02)id!{HUC8!bP4@} z-!V6a^{-+ZX{SHVR*yom?$repnF;YYW-(pgy@i}`FZf_nzTBn11;>&fc&J~b)!`k+ z2fo`vJ5?;|A0@CNj=7SLBU&!rPV*ebL2GTKo#ItLzNeP34mno8$K zgOs}|9<88j(*rwP3rnQpU#6RqI{Y*|A+=8~3z`4tV?a3~~;?(G>m8 zpjPz5P-?yS@Q#VgCu}GwxIeO< ziGF)aW&p8Ci;Dm}CDX+n41nP%fVREmv-x);r`^vbsvB7xM&XRroePQR^XNP547@EYH;u3-%S(iOAHN>iLy2?ThE8#p6sg62 z1n?as)p3&sTnn3)!$431yu{lnho#cSb!uWR(?4U7DhMM@)krBJP9R9wK#-DB2AQva zOSj4Ems+gY^zBu;ol3#4$Yx6CzSp#+OL9Ce5$1ZVumIsmVanrT;Zm`t9o-|PY=OO zk34B@|Lr-Dhq8%z>E=zt{Gc<`cco!Y-TIqCkiVP${|SnG4bHNj4^`8fWUhn6W-(ll zaTxRu52K)9KM)dt{agelWx8^P_D6CG&X5}>U%|R6ACe&AGk;&`F}ys#60aEe)Tlc!s{YFI}q#slm+|3%#PB3M?&s!B!#5*;){{H4D?Ug@9)kl8JGg6HkBK z1$&@-^14zI0>Ws!vtDrjSsjYQ2@4r=O07BF zS{}4Y>$3e;Ncs}VjBcbT;7cv1V8@>{yK)=63mfyh(N>W%)*`?FML|3kdM(^aO5fJ7 zGh@U zZb(v#ZBij%$j@WApUKMj<<*}rdZDoNkU#9w-?gHn_jq(c;61eu;uTGA7bUq&xK3$J z)Hn7oa7-&8?L7BBfLI?9M%yzY?TT_D(y+ke2M;HXT9ligUkCUvg0G2W5JvJ$twUki z=$B?AmEw_hFZ?)aRrmdKOWW{x94ZDWFA)!1Px;!f5Ku#(zxU7$7*E_1*F%m}HjC~Jyq++>uISF| zmlfj;Fqo?L-o+X^IK>3Moi0_I<0(V z{pc1)b$92b6wRYr@=>$<&6s@e-|jSeFN9&55nx)p%kG=WE&7LMW-e^m+r|5wj_Tt;UX>}1Uve;Abh=g23aGC z|EI9?j;Ff+|36*2mhTz~}`Br(EdW* z-esU;uD#h(O}OvFdlYF&-?K9Uk3q*NlKwV{N#R8SWsfbSnS84{;czcs z|5E(nt0iNsAPpLKF8XT}We2P%X)(wVzSYH0#Ntxs@FEU_$}nu1Sr+KG*+n7!sE7pV zM+83U<%^tjwSEV=Dx&6%c2qAH*Z&+GrBuM_Y8dA5F{V*B_aNO`GU7wc&}5AjUvB_$ zBry4?}A$Mj{+>gw~;%29kf zJP>_?wQ%5j6kp+SmOu`q-0EnTt3EO{sGK8R$@#gBYXyx(l=M2ob^#f_@_ycIhXEGQYI2>J;!C4b=Znfvvt+Gg?N z86y%O9gl}j{HBh$pD!s~u`aACnxrY^n9BuP=U?l~OU_TNJ0%{mkb*CL68VoLyT806#0GQN zoBWv^7bh?b{Hv%37eX+&+bf(*!~a=2D_c5xO)d(d)6U>OXmmmjF;>P~8u9rf8g)?N zgzK8Px6u?+u=Jdt@;YIt=$1M=MXtw9y+U^OR{Z*OXR`AbMTp%QkpG5IY6#R$tK znG77{TR7GI6h4<&AW~q+=^eQPKO-12uyte76)7XgxO^`q8s}N1dN#bC{M7U9TkdDf zLp(t++eCn12TL$0TEhq@Q7oummC)oDT!Fz$O{#{ z1(v3h_O6tvqjcSTjB(UyuOH9m$wAK8X6P*oUXZ@GwEhV# z)hM1Ite^wDzRR}@(wjrmew&@K%TE&}F18p8*yMT%h4u;2({y|5ZmS)l3sqwQ1e1fI zVOO_VN)mH<0WS}aj($;EdKFa58IU0tTbA+KeFWl&*A_cK25@q9?ddi=&XV+;<3d!1 z)bY6)FVtgRMk*Sseb@Owm$qm0aTrNOsqo-n$ zoP?yc6^M60Mh5QrM%zt7K}R!Kx`D&P`De5)C;~x0*kA2t13vDx{C^}LwqqBr$G-^| ze=O|vkjB0~(&xs^{MJUSzkeuJTEXy9*Ta!R5F=ialZ{OS5-&JfT6ZQCV0?sB$KL{* z4|FLrqYe!-xa5*#S$iuh|HMS&=%v4(iU<*aNT3-yz?~l497~J*3$u8>uYy#-yAl-@ zWn{O{^{-k(@Hv}fybe5prXMfB2INeLEmn5yV;9*3elfCk(LuqFqI6EPAs<=(Xe``$ z_z=JnSp3kCA5~ISHHT#H;&@#=I7^UZMdyV&wT?J~N&0+NP~@;&F2B)z-Kgb=;k5GT z+q-_$Sy8x&Dm{ z;?L>JrI>-$etAR*rwa!K^2V@EQF`q)yp#K)H`Q*}FA8R@<*Xz_#`AUZx0HVxbmpOR z#aJlGaE;8Dt6j_*VAJD^g^C@=FBPl>R{!KT7|lUj;W(odekYVF zUJ!?Z-S^VV^l~hWQ7pa|oxd#QXwCyD5t$+9wgl6cDu^G>R8Nz^uSgQ4Y7_YxpXdDQ zILdHkGOjT2=h@_bmo*Pqk*R6f;mkop4V*!kD!c64#E)u_5=CBw6?u@M_a(1qx^`-` zR9R+z7hhLjWH4tpWbvJWvy?n3SjaA_sJEpnuRaa9CzD=7>!(%CI9zvI^uUUyPMk{E zEK=^+syS?}G_SR?Sz@)hJQ$6CN}OFOiVn|Z3-8X`{;;P|?OFFHId0dG77M4&=diV) zp@zv)znuL`U327B8KM(5$gG>KFBk8U|5??eEWFGNHZT!~&p|YQtNOExgf!*RIky!n z9y_T}8`PXO&+L~%g2BYVqTOfw`&0;_g&@`X6qY39@OAq*ZeVHmFCOgRAJj{v-B{~h z`;PLSl~V~s45-?u6GFsKIo(oQor(0(>gi|03iWR2R zqM}cu!!PwDLaHB%I7|1QE}AyFea^M+1#x<=w|1T~sq!#<#RgyhE(<`4K8vi{(QnCP zCN3V;zO(MbSwUXgZd0e2K41;@fa8am33xFjy!cY-&O?V1J0lq$rdkC@df%gB5hgVZ zBedA}xlZIr@1iCszy_y>O-SsSO#5b=!?1!+#FdIK8zi^tX0^}moaW)xzl()*G;-h# z;P#MO$g1`0n7#fHUwfC^slbsqbIoMWxrz^@om?2Gn`YnU4ZBu*0^4GrWTQmi3wiR& zwQ%O8c7gO_f1@cFm>$SOWc<=haB-jz#`KfSI%z9FHT_W4cFF>Y*c^8f{l?{}o; zq{ZL4ogG-W#4Lrs$n)}ePoFC`vqv9Q6N-EDQ2(ax=5dvbAVDItFKI2d`U~_FX3n8Va>^Zx>pA&51X8_X18GB`^eAL2@~CIfr9-U2RB*w@zei+m~^ zptv>)e3_@_hFgvuQ*UlCK5<{dFG5W~)2&^U=g*r|5G(!aM?;(TsoI5jrKX)K10SY$ z-@@E}^f8W4Xd?brq6a_!xdb@IVZdE%$_Yz*e8*;HbG;22&fLD{`%&(~vebnivCiMK zVLwN{P015T3AGRwJP{$i&UwGX!oJ4vi0Q~+W;ZUVxVWs;+7k*-13e;85*~~FV&fi6Pzo-NNpfN?eDaGY)iaSQ9{>{ROd5}q_io_q`DVX?IjZ?+O@19bPu$tts6KfMql z@Gx!uVfwwfC9Ch$$RQB|7c|@ux+?EG7qq-$tR2{|VVGPcb!9Bdx1jLkr#%$|k4J{W zO3-VYq3IQx2ZM0iR=*wb`{z_J9DmqSX zD`}!gy3D6B(kxPX;rR`pKy!&o%omEn0*Ck2-;`ARxsligRARqar8~v2?%qpv`6B}5 zf$f_4PtjwKo5Cd6c|P24<(qepCcSnz^WRW4rH9!J!X4@582zo&5HlWtus0WtY5Ilj z$IEBNLK4zjzh;u;v2hzf)8IvtP&Hj6jEM)c*YReO9 z3&p2U_^m%Wb8M?&CC5>Eut+>h?WpdNk8^RtXK$-R#RKNruFyqSR-n)db2@ zmL?0G%fx44?Mt5u?cn|=pw?P%;6j76599!$d1xOj&tVfxexftgCsL=M_t+Wm@~RE; z+%O0p*LGN^m0GV{mRB|HQ)nw)gjtVu6Fy>z8#FI+8`q1p^VVd+-1y<$!H2P9NsIeq z+1O*C_S>9Q{n;1@Kh-b)`vWdZ(+y)|buX1G_8XUTQ4PGYoEtDpv^MAkzq!$qQQ*+% z(g0g*iF*5uu@Lp{2T6XYA5Pu1KOsB|@W*Dkn2&ok6^U9*3pTkM8ex`&{dsXcYa$GB!5y{{LU|G7tpv)`qAU-uLWtI<>5T} z51TlmVSQX?Ga$b;pTg58)Rsm&+xQRs2iuOlP5j_4G)XIc4fvun^4Om|l{1;FS+6cw zRBvSVE?nSaEJ1Q|il`t{We6^<)CU`lZ5$t>E1Z0CfiaXUdwXIyT?+kfU&p98r&Vf# zdYRINwbIy|$y#N~bD3Ir@Lb9VUT0X1ARUd-qd5&>_4ST@*6mq$?cu*PW}7H56`wG? ztKK`X1Bk8&+?g43%-&Xj4UX&2q4gYs+*ZdZIV`{~WBCa%u4Rq|A z-1-uLPCj=Qf<=B8D>U**&rpsO`V zBz_(ID-Q|Xp@0S={w#3Z4m<$^ek9XdtmHn=5NFG3Rcfky$*Q?ZKANFlyD6(#MO62m zTF}5Pr+tS|d9{CtN~|6eDE)faOE~{CaF1yU0^|HJp-KXAY-^3KyvF3OOzpdGdFAHc z8HCsx;|GlwxEFFX`1kl`+^>CV!)RCDIsR0UQsjwt>l=XpmoF~_J)V#W)$Og(d_%@I zdoeSPWMK6k#F8WYvJqDIelsF|L1wQvkp|Z7`^@dTa}=YS+?z%H_XQb7N@C8{2;ZS| zdj4LdEK=#&smA9z0g*gWO4X*%-Si)-Nqm}GlQW~Q+b1oP?3UDhdpSUi4oxUYhNe!- z*Px^Ib6PwYh++Qqs0V^&*)AO~#nweCLhZ7C_K8YjrUs;+x!P2Iw^7J_d~C{&Tr2f~ z)`+<1j7_b{#i|-jJ^M{W4fPH^(wufFWKV|MGAdj);+>RH(l+I}e z#%NgBylnL?OO~+771=Jj_<`)5osSp4TfC3Ceq?Obt@PUiPlFAo2=|VDu$o4+L%XLr za=r6YxXZ9ZcqN9`#r&AP*hE3j{l=5AAx3mJ%}rEl&8Z-Tqir~(`!89xZU5JLz0cae zjN{7V-PI@W^P*vge+81zOacTZY35<>qDC4AXn4N7ep=e2PKz=Zq=HpAAG$0wQ=D=z zVwK{c&)cCYx~bYGeN)AQLTc*SrlWRdy6$;f^?SCi2NKeQwDwyDP7{SRneh!iw?Z{P zmXuvJ+!ebADP33t=x0kLzph8RLt>vLFj>w}FXr*$!A6;ikyvSRCGXt~d8~rB0Bzou zyyMdmbUs&VaAwB7^vJ{$?!4~$;CT9@H*SlQP>4F^^I7MA9Q)x)bPX_AEcZSe9Q8-u zpCVkB>iDS2j<039rBL}_?4W+UOdYh-pvP5E55k|jCVu5borT2*uik0Hc4Zp2QLWe- zCB+_oZ5;!iNdAB)Ba8`Gmrs>y!d5<#ZGAO6UK({9f5S?;*oV9THDrLk*~f!P{AgbJ zDOF%9aHQq5)j_Una6xO8xz+ok=i>Ti8~lyyXvlH{*ZZ?`h$NPY7nz7w{w;pH_1GInSL}V1(!C!X`2OP@5~FcAaB{*dEhV*&yqd;+<1ZoYZ?HpDjEi z<5Y6i37fW6FyQ9gr+7qZQ*lM~QDj^FJ#lv4!Bmeb{5I`6aY3)s^C)yS1=-Y#e3Ra0 z2b-MrZB+{)ksfz;hrOyPTP3cC=LvNf8Kyd|$<7$W?XcTN7&OPfA2dlZ?QItot%{SH z{ict|Dtx(KqMqC(jcsA2>;A=&wtUxK>`mi%1p^cMzJ_%6<=c4O>vqOJq_akpZ%=Yq z!|{@ukT;p=lspjhq+zswY6zb$qoQArT|W~9j}cA>y;K*mKZj>|1SZTDxOwfxGCa7)!{uDa5V+w%l}I!dXMYt-sZ%& zP?`NZkY`rs;~@bFeNkz*hrb#k74@uA9W1!S;V#VFRpt&KzP@J5l-22CKMD!qR4x>l zlcW)F7i4nD$jBtM9HDM}x#HHe^$@u~IN3{_h>Fk%V9gLF0S7hsL1NghA>WCH$=#sC z6pT!8=fVf@BZ57JG8F5*H>kY|2RM*?bge_S30^0!w)W8s`NXkRl+`k6k_U%AV@>jNFWf#9Qff~FTX{`#Jr4; zHw-D1S;xl{lnaMl7KZqtqyW6w9$IceOBG@pk_ve}P-cI>76dQJ8z^UL$_kqMc0A9w zSQ^Wf;-ZogkNNwF1h`S;cKtic^M5Y{em%m2hbg=Zfg=CcO&T<@&4_>AiP&!OxaDe? z_utwm{ruO@ixDEoen8U|9eb!@gP1FX8vgbU*rOm{##1XB6$ExYQ1U+o)dL6zjsV&L z?2Mqo1^$%@Z~&7)G5rHjR&m_#oB0LYO~4%jw$F9|po71UUf8x13_(3-?53iISJtnC z_q}msByOb4CSJIam94N!4Ya?d1nG1@#e(ljv)EJtz$CU=*2fELXSYF6z#=Mo2JTUT zHarWW0_Y4^wch!C0Qk#ya792(ft|P*&;>XqvkjM2jM7_^Is;HhXo8_38+>TIz!cC( zNJxl8%%C*~&}(SmWfrY3PbxopR9OPPqPF&SMF6Mf$6gRHT8sO3@`554m`4!6c^deZ zH4(}$4fNI-U_e`j)H-(ABr$vZn0$r-2XZD@8I=KZ>F&e-HHm!~wA(uK!-a(as<{p( z8|}ZCrQd?>vGJ8AowR%JI%xlCfX|JD6#=qPl?FBnb;RGg272!}v9)HfHS^ZiGUcj0Ll0^qe0l(TleM9rMNZl-tmHeE25e8&05?7G!GAq7(75jdrq2!g$+x3 zgR@x~uH<-C4tQf-Zo~4oU8a2ZowfAzpa5Jia{BhsE*4c;{aF$z+KGJ<%8XI z_2@nD2z5hY`mF^yg32yEj+T^B13D#)fts2cZaKbFNkRm$?y|75`ap+_6>nuF>O1cN zT>{}C0a8f~%uv}tZUK-Fi;&PD0}GupA^aP-vf*h;#2TB%1=?_baJ0Nny-x1pYh(*$ zvfhY)EfoaUEkLMye0*GSw63nM3ZQu99l#)z7~Lx~;D=rSg7P@N@#cB`wcSb(ri3RX zr~;Tr^`vRo4?g#L*YBsmUwIk2bIVAz#_lKDV}$Sph-4ReA9#WH7%_#yJ8A*o(Aw74 zB^ksZsgiUKNQ00akOPRvO%;{vd4ul(iilj9@y~MUae44DdF%==1g1%@4lR6MO8)ZT zE?=R$7jSECBhVL^hR^~60$P5$=3j*g0P+RRK7jMdAO>w(@FOs?))NOlIB*7m>&_3F z9kBod#YeB&HRq>+q=LyB0~1ppkoOy5Xmo);gMyNh9mMbe_ZVhKrRANKrlSp%c>-o8 zKZE=}%yxTgt9ec<)7t84*8^|3{|Cf1s2fb|@XqcqgfOS+;Q$sk&pvqGAh*}R|@ALCZ>u4Stil#Gp^bCUc zXY3}5&By_-f!~OMq=MyVZ)g-yLs22iM4Lejypp99hd96Af(fGih6_uf`vW((84zCq zN*ezIf#>BIl<^=QN^o(^qU!pgkgiaKDsX6mjO>LSVyedD1A$NyCwSN+62ilMqM}y0 zmGX7|IM@j?kdz5ZIDSi*Uocs!Hu5{zLUn-s5(T%}@IdL6wY4MDxB}MzK*|ew4xz<^ zAE)909L5dqKRiUs`QF6O%9*U!0>PkdWW-<_?8=belAglsVoYtVmvUBYQo)0ZxP7oKcB4yi!1V;SP_S$QzuWR0zLk1H^37ph(vjLc~8^&-A8JOZ65 z{IxQH1!z$0z&_ZZbih5B{%K?c0leTL0oKdlG!^+qQp9FRm9#|i_vVVje&g}jTCZeg zc0YyjuR_D%7}El$ekLrmT+kJ6gRvw(BO@b5Y`&SZ&^<}wVZo_0XR?vM0&N@*?$A_( z>eQo2cd_QdlE?JQn2+Pd$k8k~^20Jq6DW4L;BYZOumf3&|Nl389jc!HUsr$q?+4-! a$mQDnbhwhZv*Cg>lA8)@@&$5teEtVu+xqzc literal 0 HcmV?d00001