From d06f4b6b38a845e7948818f1e285ebc2c84d8da6 Mon Sep 17 00:00:00 2001
From: Morten Hjorth-Jensen <morten.hjorth-jensen@fys.uio.no>
Date: Thu, 31 Aug 2023 07:41:43 +0200
Subject: [PATCH] update

---
 .../_build/.doctrees/environment.pickle       | Bin 244388 -> 244559 bytes
 .../_build/.doctrees/week35.doctree           | Bin 916967 -> 917330 bytes
 .../_build/html/_sources/week35.ipynb         | 858 ++++++++--------
 doc/LectureNotes/_build/html/searchindex.js   |   2 +-
 doc/LectureNotes/_build/html/week35.html      |  66 +-
 .../_build/jupyter_execute/week35.ipynb       | 922 +++++++++---------
 .../_build/jupyter_execute/week35.py          |   2 +-
 doc/LectureNotes/week35.ipynb                 | 858 ++++++++--------
 doc/pub/week35/html/._week35-bs067.html       |   2 +-
 doc/pub/week35/html/week35-reveal.html        |   2 +-
 doc/pub/week35/html/week35-solarized.html     |   2 +-
 doc/pub/week35/html/week35.html               |   2 +-
 doc/pub/week35/ipynb/ipynb-week35-src.tar.gz  | Bin 191 -> 192 bytes
 doc/pub/week35/ipynb/week35.ipynb             | 858 ++++++++--------
 doc/src/week35/make.sh                        |  13 +
 doc/src/week35/week35.do.txt                  |   2 +-
 16 files changed, 1801 insertions(+), 1788 deletions(-)

diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle
index 743742bd0b33b46cae59843b478f862488286401..cc1fa82f4d4ff1fe482cc1336efe00d1c48d227d 100644
GIT binary patch
literal 244559
zcmd?S37lL<buR8j`@Sz;uhq6SvehG7vWzWR*rUyh77LAx0ox3By6;SPtEao&i$-JP
z1hd!{X=0WpWP2pxC1e4TK=yz3gakr(350|s<YgfXc_aivR^H2d$^Scb?!8s_R`txS
z(zL=a_76rgee0e+=X|G5ojP@@>J1Cuz2dUVFQfmu>spOcxpsaysGTb}>$Rz%*6wxJ
z9PE^<#Usi`@9OP%w)aeLsC%W~X!K5Ymlf-Ub~6Zy<z}z@(5^>XL9?}Ms#FPTt)RB+
zOyCzlb#m7U@o#WE@S8RI8*lA89u(T0W^l6J4qCg$#_5}O4Tt1fz3!q`vmmJ6?MxL!
z3iaAVd9v4C8HyMEz331>h~-&YKNmEc<zmnh;w`EAwaJb@89>HWjhRW(M{BIro~Z`J
zn$T6RyR6ins*bfw!4y7S%b$*o*Xw7a&(_HXWA#S6T(2?t)h%eEP#PQen`7<ZJXF1Y
zRD9yKOXZeFB!-8Fd)-x4zf+@jopw8VcU=t{6JJuUwS(q_U%;0yE>!(it6YGj<K<d0
zXqGzTW1VKT*WFNRw;Qc}yLL^@@RQ+s6AD>X=`?2Wdfe`^UUwlR84r3Fx=Rc7s?YD2
zwspEI8h*Pp)~=5MomQ{3t-GojH0rH#yWX7PFL@;Tl0to|(J0M;lh*KLxee;W<$7lL
zNn5*!{qw{0D|D)S(RkB`Dxm!-zXisjvdMaVvKox}HNQI3#y5_Yi^SauD75L1)%<f%
zZ?AjcRDC*V21Rdt#=FP&O3h&6z_y6rPzyrg(95=$Kg4SB4g!LEcKI*wMdT*xP<xZ;
zuPN21g0TjSW2{_*S_-`vx*I#KU`%CJ00vcVpa<w4ZGM4)#OG`2^Kz@z30fh#y$hZ0
zCSfnFdZ$?ks^!|*u~uhdqI{mdby2M|MW*~hcT2;s1=ZG=Uo4WbwOf$3F;-}`h-|CV
zXf%UXYiydkTC4X2M3|aswb8ex{4xyCkL<SGCTqTBq|vCBp`XKk+xJFDnJw6$Un_cH
zxAmfa3+4NrcBu}nZa7hIwu74YKn4Gn@(+m)-y_Ru%rwiBC7ASr-M8(&9Ulpqs`bfw
zue*f)8E({IfNO&Dg=(iriflu%;Ohyvl?}JtGF)!V)W*jOrJ!)OQHPDg87v(>JUTWC
zdjr2q&y+e-<E`Q1IM`vo(F?lQ0CZ6C(H-lBv558*Gz@<O#jFrqO!()@Z~?+f#0TSk
zE1+%y1+RwfayJj11i86orI|(@-2xf`k!3(NATxxQAhZa>sZO<xo=_MAKI1`?zU_tX
zCQ|rVQ1i!OpTt?MCHg*zxE!6UUK^VTKn5<PSg%(7<`jAudNE;Mo|pk*t<HE0bUWlT
zptrW)I$JHb+K_aOpbe(STF}uHSRtzD73FFhDqcXQjlL`_9L+Zc=YxVEGv-&T_31IV
zxq4IBihM$L985JJ;u@&F-f1^FZFoEQ5kS45RjN;;FUsca@>GCEy<^vPSB5=ktN<4u
zkRG>2pK$wNEb>>taRJN+JZ_bwLZlQU=&q>x@QKjgWVr?nEol@d#3w!OWlEPF<Ii6p
z-W2r7UG=)7R^tXnn_bgEaCXn$UBkolzvS=)fQM(`kviRlt)SfzLthHl^`ZZ7*C*kX
z!j2w~3e+#6&lU>=Yp~xHk*>%A5$a-Kq0s|=xVt+1GcruLyzmoM++KGRe>#j$hsBt{
zf5)R9x)?c(UTITzOGrRhVo=&!y0f(IWNCeALuq4aQ)zQ)OKEp$TWQY=r8_Q^?ke3~
z+E?0Nx~FuY^zzcZrTa=FrK1;0_oKlB`2T~Yhe{`2D4i@lTzaJR%F=5tlpecKdc5>R
z>9xnMD~+MS>q>rUyi_O^yNk~U3|nd9h0<iH)ZM6RY^)Vj5g3q*`ORT|u+tm%i&OPl
znfk(Tu~}~v>(e!S+V&^MN*J=?hGDN>v3zbAZnMgND$nzCJP!?C65tM?Qs7T!X)#9M
zEWTcSE&dSQC-mAyIQFSBtQFni3i4-5#%Rzi!xg^^f4uhb{L_1OK67L5nD<=obg%S!
z`slU#N4KgUJ>Tmt=S~yGBFjU3X%xd(SH}4%b!767)Dwj_>8=VI2ox}Oj7@+8F<7h;
zjxq7kO7T%eX|$5ZsAzl=PK|IAUaq_R;U-*1P&`~Nv?0}w({NA=hMRC--8C4T+Rcs#
z{fZp=Tsb^dgzuwHk*7|vh(~~4>DxNpl|1T=P1MOniqLFvi@yiHbCiGcZh}CIFgPNd
z1fiql$zk!)!Z!I|DD@2eD?VCQs279$c(q=DUX~q)M}@<tCmqFyAhLm9_u)l18~WR@
z-zei-M$za5+Qbp$LJp5;)L4jK*sS+T@9!=-TrYG)FfH1ZJ_KKlj~Ab*7tSDT=C_CV
z!zD)n!GrL_!Vt*07dv48Exl)ZrJuqOK*2PbP58l5(jNH@{saTV$T-Xt5oF*M5J9wp
z-U|=?2mZTo;e~c@y!2y;+{HKjRCi6Q?YBvGL}_BQjcBgG0OVIEl@EjN!PCLHaxm@H
zC%n=4HE$Zhop(BD`BMlUpu#gjp;RkBiEu_l4#(lT{iZikoeU7Sg^awQF|w*q@*C(2
zw=3TWS)-44n?K%T{`ijM$6G_%6n9URpMt>f9tmlqui2}79CU9v+N@7Ov`Gr1@Q&B6
zd!vY|5a)QW6s{?Xi&}Hab*DmEk?Up3$3ZuLI4G3GH<3xSc6vuJd72`NJrN+-DzZk=
zm4&g+`JHzu#POYL5M@!k43LxuL3hhx4B{dz@vG(b3<NHsS3=%7zu<0#4!&S@gyC&{
zK2L!gw@;xPf3CtCbT=Ljf<_#HMk?vc<VJ)RO{g<yiP1b|6Dv#~re0C40pjs1>W4x1
z#zzq;RA)T6Bq-Le?(`_eVVvUc4_V~i7o2>)H{M+mck0rQpf^^o#^n2n9zTk^H$S>w
zK2kb5Kg-EydQavi+hvnvpXSH6%EwVBh*07NyYvPTT-;!f-XOw_8@x<!5P`uB_R9vd
zbX9J9uWTFf8zI6C4(Sb|zQ+yj*BeB=kQ*G+8$>;c8$2u<=zWTtjLIevn^9-s29L@H
zvAIXxhFd&lXpw|w%+Ml<O~KG23C^T!k+S|IMrUQaWY=M4>+*4mOcI@zY?tg#OlCTM
zjPQD_i79Qb^rQG~Drox{^1CZUa1zA;-Nlvhyoi@O<K1PP44|R6SNc$QHO-?c{`ozK
zsYK!jZ!eaKm+qQIvyRDI>j7jJ4pGLW*S!tH=x)3+7Cw4?NFwp~>pA`#^P7R+Yqh$o
zIiA9|iosn>!SMCVkWwjOlmW?J>Fz#r<Pt_>zq{z1U&Ua_5e>e&f{_J5%qc;j*S!*X
zIC2aWb64ID{or?mklYT!MU!mIw=m(u#Dv-+Hm~%;wu_O@qA>+CviSYQO~lri@T#9J
zY}bqajQYt^@yXc4RJ(UFdKL46=vPFV^@5LSEs}F0UR=z7Bd-uQ*}}0Hre~Z)6ZqA9
z%93q*n(%#Q`041`GfyLod8QY?>rDojWS?(`v(<^tQ%}u|A;VE?LFW*NX0D6FHY9cB
z4Uo9>q4@nJL_f5L=)=-GO7D(-$E-@ES1`XsEJ)M!?$S<sB7axDRi2F5p!rSw#)@Jv
z;bWQ)(?mQbHL-;<FcV175nq^OHIXDlssO0I5Wl;I+Dz3cl0!y{X6y3Vwe4nk3T9nz
z)9``x(FB5KWCg}r4NB@=h>5Hafjg&OAb<2ZP1Rz+*OicUsZ!=8Ry%Az<UE$EyH+-n
z{URdRT}4>{vh5b7WlAEm@Y?h|da7J2BOad&_UwX{BHcTKe|A;N<Ga}W_YB{?i$dr;
zq&SN#S!-7qMN_Bc%;+wWZV+G8>%Q*dzo0QwMDhxHqa3#W6+x_})scW><4E>WdN+Qw
z@+<-knKqMJ#=JOI&?Z1B5|lJ)!<-aeBA^7_6TO(uGR$+v0!--YlZvf~PtkvqpRN-Y
z05<}Sx5tp?m{jd!RRi|nBge{_JIogwGZM)aHKg5<ljdCX$&=(E*6?TOK2gT$nVxvC
zV#=>k#<C^ywbF!_U{>8I7tYS~E{Jxk!oSDLlQqh=Avz(t8<HQxR43u$_#qMmv3k~r
z(=|-d@Y`51Xuyb$T^>CzeMjj#qu<$Ahgmb~?9#5gYsm+X1y4e^k=K_jFBcE_i<Hi^
ztc{c?oF1jmBty&TQ>3PXCenzK#xi8?nq$xhRypLS%UjTP`^gT)ate)g%Ex0q$H?6)
zpFA8$EH<c3!ju;K_N9@Z6Tb3_iVxqvL@ajDRE{!tR{|Q$$I0jQf=;ZSm11U2`AOk8
zD=(5`CoEQo2a$Wf|Gp(+0q3&r0{WahVt1Kn!Kr}CvMVmTO#GlH>*Nz<JtBS_z9{m-
z;tS&^%f*Xf@)tuAQ6+-RWh5gkG^q9Bhn!phSI9MB=Gs%<3-b<g96J!dwOV`?(mJ(v
zd7?~-{>7cz*&0$lk}|Wy`OjYET2;g);`I)e0{HW2@MPHvw9M1n5o?)0oka6M`7~s_
z8N^wU_yy(;s~_mDVa6nSR{Ew=H<p4m9p$0ZO+&pQ6%%%mD<dLZ7LA@D%P0+*6-~Jt
z4F0gZUw}Ep?=VyFLu2q4=;TUQ+91?1h4@B18k;T`sY}XtSynN?Ag4@;lyVI-dVEEM
zF}D!w6|^)1rlKcn1aYjH6`EzSx|PC$pCc55n?v%m-b_7TE8d@OBC}VUq)`$9!ZIu`
zl%K*Yel=!+@{zHBT`iJP!n&hDDtbma%lLO>ETiACWP=!K3_>>BW5}vw6jvVdDju)x
z#lrz5IiuGp%NhUvw$eApzrR>|d-Qws6_g<<M0^c(pSbw3EgIC6wDK<G=IMKS-N)vQ
zzD!U{>aVzX>S3x|(tPE`(~LAiS#nAE)$>L;%C}3}XVSE-SGLIjcfl^i%3X+_5|#-2
z#0Y?O%P{bY4Qr!#hRI5MtkXc46Cmakv3V5gb9S}`7l!pt8g){yA_5hubF7Vt5I}9Q
zUJ&Q_0(tXdnU=O*hzamx3Sk=o60q<K$ToI2FaX2RFcvP>t|zOc1uv|FHplAYVoD>@
zo-sY{y9zD&RamD+7nP63#6n&7ieLFjDG#TnRZkS@Anf4CMYc%{c&Q8Vm+~{R?=cSj
z6#@BMh4<rUB%*vy3m`EaRt9}LJTOvpw1Q6)rz8*L>Z7!H>`g-NK*aTDOjqzACw5XX
zvG1CWVm<kcS2fAOQuIKn=S{L7(+qa10f$G=Fj2f(e^hR9C`T)QHz<$mwd#zRWkxh;
zM1Wy*w<?XA!4yW*umwF-zku3}VKUL48H?V%S$UT}qd7Vpe@9H~u-@x85nS;S`?X3_
zL=Kp2Vu3YYIU!*-C@pwoYn_{<2kVswaxG~sEe^#~9}iJGrlLwqUSANCx!$W@L`W4)
z>pTo@ej`9S_{jOj5SA`5Qtj}bUgqJyCRPHQHIF|WhSgUQXb$aqZ1|R2?|to!Pd_uX
z<Mod{{>0;tKe20ar?>s_$8WrO`;PtIu3g@ZH+xe7X0#$#KV8DCl2VD3@DGVCduG`(
zv^#{bcpQ@`Z@Pq~b{}c|#*D|Sh#r>c3spq!L2=l7v|O!v<AK*eMgufx1)zq(6u<aw
zZ`zMr5>41yrz+aiyve3NE?Sd`h`fC$gx4qs@C20e7moxXezUf{O<#p>Q1r?*j}s%y
zVs)`14}sA$pgBZuA0qRtwRZ~knfp`1GO5K*2m<8>=NsMuZ^Ey(f}I{&A5q{|$I0~Y
z5UWOb#zx0a<fo*VBV=sJ#$;vm?U9ikf{lUFwrx8-vZ}-N!eLsC6CV+%0@ZV9Bjz`a
z{qf%do&EeAIy_wWrm@IE6$%~%_UL;co%|v^3$2-x!rLA=a{5R<P8V&vH>M0d63@gX
z*tp>a6U%Dj2bgcsR+S;<t$-9&I|wD9wF{Up)mg#j$s2?yQzZy2S#U1MmnXcT2#LtP
z*~UX`YFGjad%^bC4sG{tHNuIHx9=DlzGcVu9fIsL9u}U1u)oYfFVWKo(X_4X(5SQ2
z(0r>MS|TZv?BcN}Bzi3Q(Rv3ZEuoRghm-ZT0)Vi<#6ziY<r#k?VRe7K&BmyFCz-^M
zY!dY%!WjKvxJ9GX(Duh`+jpp%7B&VdM0HsFF~nxbnk3~BNZjo8ulH2O`OlD5l_<TH
z6rX7hQ^H}0zDiQ3wh57j8=Y2ZNO?WkmbgiF$D40fzbwrM(PwvYoIqmgLY&8TKanJ@
znGL;5|7q{*B0M7ukDGf5Erq%bYQ@&0SiThE6DX>C*x}twzKuAfM+sUaFnu42EJW#2
zYe?;Z;hPZ%i8qNG;3aM82KiUqFcg};<pzTbOsjJaRVdU_-VrDXDJb_ew8J}a;DEP%
zyDfFWHAX3t3?A{p35+;`Y>StMX$)e^fvbe~nGn4XpVqtz)+0&B9wvGy@$swto*)&e
zIPO-%Efm`go%0U7+`|vBO2a^+-zY;2dXK7=3aZDrpK*_t?4A~(3r17~++`?Z(t~>=
zrI5q)&(+ICk1Cb&%}!0YNiqInbftM}%%}3jD4Pv!YTM(rZL_eazSF|+9Sq&J)63t^
z*3Xt3Mioj+L<7A}9A<LJ%5o}6?1dtUEn{UaJ*CnTL{*5vT1bG&z>y~voTfw7S`?Ia
zuNd|ui7+_kQq?%eBZJy7aOLMpHaQB2nT4>_6?u!M2<}7@D=c)Rg@j_5nSlD$$QxBf
zvB=kmxdD}Kh{_ESQP%2FJ#OV5%Ks$46mF%2(3UD;@uf1wCj#a>#wg{0&*dBe`BAZO
z#IvvN{-{2*P^=ACS`>MnYYx|f_O4oEYFF6yKIFe!dv^h-{M1x6UmzyYSn4lYjZ#x>
z5u2-`FATFSlnK1z@gZc;9^cVZCWcY7Vj05*7HYWNW7O^mrCm%8!wyx6N{}KZc2l^W
zcvN|oa!7Ba9}!opqs5odZeTG#KzT=G`qo5`Xt{^$1mb5aqGuh-yIqJsUl)B&ohdBU
zlqs#N;-_+g+V-)o082$aJxbhdj+%)naI_LsM_zF2(MOIS_fC$SIO5%N<iyB>$L||C
zeE9T{(b1RpViq>ax5Kq4EVNHy4tsp$<o%C~+>cj}AHT0!rmAT9TB%q%M|N6yp0x7<
zsep8_jF<gHEo+!?=TA@!4_gzH=P+Y_H9vrx<03__6GiD~XQ~$F+QUUeYH}WPR-~=P
zmu%%X+x12@I2Rym#YIl=Jjlfp7aO=ideSbQg*3%vlGAxt)asnWU(c_JN0bLZavh06
z@fOO=VZ~!u9TWwym`I}P5^*FIq4Zw$tq@;0J@WN8Q4tU-VK6g@T6kDwg6kC10nQBM
zmGZ*8pzYlhQ}7;##NpD=W5;1iwVn5)?&a(gPj@J47KQ9VOOE17^QSvCWCc*bMZH3{
zxXDB6lbpCn?TK&;qYrYW@pnFs6h^!LIEBKrgox5oN=ZNcI6Oo!P3ay~J3sw6ItT@5
zElRjQ^E3_r^w%@;iylWcFw*u^0Qz)Ho3w%w)o3~K0NMJ^<Wo2hO6|lSN{Tn3*r#|A
z%IviSfSVXVCDRjSoau4t`4XE}Xabx&l@42wSi>avS(t-TjRTVx0S$~JY!81era-B+
zqN~Y~^Mfe;9Z!71C8Ms=MieDu5J0(Lxd~IJ1XlRHF&$cWh+f?)$u|S4H*1fT0v~=p
zesQhZ0znQE7soCaB$X#o2{U&o<-v5ld6tMBTbO=@wjWUCH0yGU{Fd;6)I;}**WS?c
z#rxODW=(W53|%PxL=Kt@sPDh8`AcH?MzmcDGYnI7aPz1qSi}peSOMX>01rwi?e~ve
z-VUj+q&H+|=iYo3eK_TxMH-4-2QAg(H|*93`}=w-imwJ@RE_h7m7+R~u7yJ=*CxcC
zk3@|_#FJPb!ivt&mDoLW{lf^IAZY+!5HAL>S%;MkD^HYLR1J#+XuZ?wMFOmgzDD<;
zYobSrTM}y86g@C{z?gBVmhO^hjh!uPV?>|^@laz@uEOngLfveM9u}H)l*Pu2@)7Pt
zAGPtUS#nrNh%Ub6K>i!H-TFE?Xsr~j!k`i@7Ql0zmyg$r$COu%LokZYq9KnM6yJeW
zPAxi%8ZA3d`BFrSZFRwObpg9z#;~PAthm7Rm63EEElj}W^?AI8_DxU*`fM<RUQp!a
z$;HU}PS$*qQv6n*fHYXi$L^fP6eU!VYwa$j6dXc%SXg%nEgVx~jOx#MIfT+uO_aB+
zXk+({UmOz^BZyuiQC1bgY7dArc5aWde6^(@R^-R9(jGaAu#ME#=0c;vNnd?YKKh2W
zqD?==Y@nyJs|F1aeRd|nd;Kg{<}Q@B(OA5m-sA_u-e@me^lU371{-52E2;UEfx&LC
z!dX<Yv`UJAH*gmpqbQ(Ld$I!^W6`rX*2YK^7L3G|2;Gh7CFr(6wSi!&Rt!r@dZH_K
zm&OmpBJle7&!{azvy+tux~m8x<l|y+j<UcQ7_n_6sO8Z;<7QiAv+x_Eh3D?&x65X$
zWHXVrH-69Aamp1_m1*qI@{+_FNdgUNPmYlYB^=;Jlg~HHceywta@7}NLAJ^!s9!-&
zyg4;iMI3;EMShQ>vlikn?gW)h<QF5oDQt4xQ!n{^wfr7lXzVTzefI-^O^SQ9Y)26d
z83{Tr;tkZ|DjX^LkDGCs2>Nxz(<Vtvh>!UkZ-H68tJ7-k!nVI%r82evVL>%|MbTJH
zm)}_%zY{%>Z+Y^IFdvCGH-+1->R3IN3SR@WVoObwFi=U7_*@w2S{j0qt-4FOM<8ZE
zI$xM-+{nDPBBrT=2#vMTR92Y*J&B-(x=ezRc+RsXd@QQ7MB$Zubw&70L`CQwwK{ec
z$_d^E^|4`=SDG%JkH2SaVw(#JmCy}V9-<UJB^}6nNWz=6wqm1;`T}iykuO}8c!AcZ
z$Yr8_2;UOV`YYcAOP15>N*8~|Q{c+m@Rw}*&56HWO#JnB{H2h2NAk~iCjWdF{;c%G
zk8mcrQRa5TslTv1Ns%@TMPmbP8j63%CZhOvY%Gd@e@*NnvF#}ORNb(~zIi<I%xh_X
zA+k_)s=lL*C1TYy8Y@=fDW?u-Bt$_3{~<^3b+Q38j4T$qELL5k_h}1V_<p0>!LXRB
z*4QAQi*X(!C~^_qrD6jNR)xwjDcV7mAUhRcdW>aOnwur6Jj60PO=Pfj+i#u)_*DdZ
z@w@%@BbFYHn`{;&iZrtd2V-mjrd?xlpk*p*6E0MgEp#G9r1+p-*<_3IJ;gd|gJ}B}
zg^mil>qQ%0?M5UkGBXN^4dQY5`B*q%>{Xtlxq1WwlZd=jYX<csqDn7%uJ58Oy)u58
zzksF{h?B9unB#t#MPfxn&szYQR}N*1Rf0tkV24%AF>zKv6p?ait5}~`BwQz6SNDJ>
zER==AW4R{E!P@0d_qvxqqeNC41tBqz(c1bL#=cHF=pFlb#11y$#lN12f2Bwb#T8M?
zh!&QY`_*ZGriJ*&M~Vkq8RC6<D~3hmonrSJc9us^fGf7;p_UmD8*OF`UkG>G^|~8}
zIf;o4b7I>b|0Oe>w5c%ip0rUg=JTjD?DcSPn5}W$C$?-gC{3dD#m(w-u|<_<V3^*8
z0i4<(nwFj9XV<FFLQ|rN>I4O6YGjQKk`Z&=&B@)_=&Rx8Y-t=D!X~uG4y%o28b}lP
zu8#K#p5v;hn0#rb^j!Q^*C<~#foz389Z<GB+!Y(YgB`iy{y)MFE_V`%4uo-(0gVwa
zT`0XZCLF&IB}{1ZKjLF_<XDOhs_$2FN>NlJA!<B!Ijz1^k}>>*=M%IlzX+);+R1&g
zyBIMb7rU<t%Shr67M}_q#e3?aLm)~^sf4?`1VI58QNIX_T!PsbZ63P=bB^%WyYOqg
z$ELf8H}qoM29Vf~7dN{b<{0nO;VnV(;mhFh;g7Hl4hcWGc}h0eiw4n4%ft*v?4*+o
z?xcAE^F~RQX!DtDup8b!Y;Zg6kdJ=H=aD4%Snl|XKi#7=zD*MXj46ACB-uT^w*#zr
zM*#KaHKFc#3f&qm^p0H-Z4QnO3K#}kHB=J@*yw$Ev=vf5EYsW$a|S$%4iAZ`;cSp&
z3*tJV=wmL-LHn(#Z?E|0d`=q>8{sDB_?yVl)8`vgZ*iR1J9ee^{j}2*FQnPRhIV{h
zY8|`0wBguYo$iKkE<;WpcFR>#@NMf7pJM?9{tKH9LNVZ8$osWvEr@#UP<NF`Z)4gG
zM@Plr-77HFLY*$=?&0DF#%dgRApRD0hA4-HRxfln7SJWnqD}@m2s+P!wj9D0ynrJ&
zP>W6hE1$37Me7mM)6>H&HzllhA(q~SmaScIyYz;VtvK0T(VQqKG;WS)P^mn;5=uv!
z!{wko!IW?!3k_F9iQY?4S|vQWTx_cR2!`73D)dG%#~C|MQ4}eT(jpj^lAo@P(oh%y
zCTQ*EESfGW`Pfh)GTiXR-Ay92$LSPsOE4;Y6*<KsG_hVSt&X;uJQ41YDP7r}YZFCx
zWwdeyj45QM=^S?2Q>ph@RO{X8E<t*Ms*D&>*$eL<`NMk_eEEY{epGg++j`=|f1Q5M
zPstB&7auNM+}!cI^26Qy;j*PCz9v81!yhjHvoHQh+^@riE2h7AL;P9TZo`?cybynO
z2fw@Vvp@Iu@n?JavrWC<`at~Io&4G6iO1w;FAG2Wg+F*(-0m*^Y|H&c=}zwsKl{l0
z*O}cINxyLG(_g{qKZ<)4pI&|P%dga3D?fVoKkiLG3R%DUPk(YG^3mM(^GDwvJ7Mw3
zHHS~XsJQm<vrm4xt2$u*^ix0m$BOIZ&p!Q*PphtxKm4879gQ8i_~hF6eee^Ndlp=F
z8U3|v!SQ=PhqG@`piRq&wF2dlOYiJ154Y4{wTJe$b1^@B0TN_alB;|d_EOV+_h^WC
zQTp_|ddeSn(jO}K%Cp^S!<W$?+Hi%>!cmRLC^+bi_Y#3<NW-u3aC4jbHKJ8y_jjmI
zZl^z#fdzj>?e>UA(eNc2%JElecXy&4ix+QrMLXkgN#7cgrY}M#4GS+&+y5TGRQY!N
zAZ>S7VwIN?iyWiUmo1^Nn>=0E^jp!iyC4KjAXIq<ACdcBO5rhf%wwude=g*-&xv2Z
z31<?Ba2b)!Z5_prP+q*({q)n@C>Gha&)dcx8C7N5!jXeM#5Snm+i#-}r;zQZkdZ#6
z8Q-q+dHDu8rKvKV$s$5Mw2^eNTb=e3CJFC(1|;Jnsl?=w2#0O=P~+No7~vrRqkZc^
zlUhh(!r6im-XuiNFsN*M2BG&iuudv}5dQl){ClFZvGPaw_t@1h5hZ-1NeP=)uo70k
zM3nFblM;S=B`aawOGF9Jnv}412`gdQOGF88G$~>7YF0w-C8C5knUwI%RjdS@ktd_f
z|H7lgn@vi1+v1m2cX*3Q2~*2h2`gVBmhhZO3BMOAVbx1S3D299Fuas4VZ}>C2``wG
zaMepJSh`?R!kRExTKf{Qgtr=%u!+0FH7^k*e3MBD{*|nR1uqdLbWKXw`4UsY+e}LM
zKUci8Ea97l5|ZhJzh1yPSk!4%UNkA`+rtUg@|Q?=dAqKpV}HRqx*R%she=1j7ml!N
zULrbrr>>(DZ@!$BbOn_3F2nQhQJ(iqN_^+7OaN;^FNygZ<+f+Zc)s;|CF42t($Gn#
zyGX27iFF^55*F)PR4vyUrcKny>n{{7kl7FKK3LlHr^Ay3u(XX_IIb>0!4H+%?q5i0
z<}=8x(%Qh<<EU%Fc4F+C4G$9)2dx5v%6-((@EkSYRHEDNRbGx3opBu2t`zeUcvqH1
zWo~%nKlsC9*g{?v$8Sq;Y>fPaDo(MIC)zBHOO5fyu`B&fcQFo7rna$!opF%>t{lKu
zv#f$oRAY_c6Nq=1xV~B33W3#6?4LV|GpM|y^(Ic6FM20&lsb0voebJYp`T5Pn)Rj1
zL->lyWB38tE64CJY3l_3#n(T~|Ga|#8RdT-;eQ?#{~W_wY~|JXwelMLfIO7TokO18
zqxI@J66bJvLY%<X#*v=h5!B*}%_1IeXiOYKnv~6j0LxhsOuERqIwdEiYv+*j+CwP&
zzy>6eO2DL|#fJ#TmN`dT=6=SR`!y-<DbG3w_qU$LG4@UB8rZ8TILCH8va{Ac?_n&v
z&}ke5BAr#7gvaVlmh1&*$=0SMqvYuvl3jJ0PNL&ulTj&O@9QpRYsh@R$C+=O%%A8t
zl<%B_?{&)Y&nNh#;-unD4VcgOJM+0P#V4gC=iqbw@%p4V?7FXFjV+kdpK#_BS7jtL
zN_oRMINj0boM{}1p;)+IM(rmZ0v`8Pi}zTnk2*`WBqbFk0_Tv*i_f>F-4Qt7dUj#v
zZq71%##x4?DH$k_H-`*`BPdN#&*a|ciDSZjZxl`k=eN+&-BibY!mrJUKltE}BiK-b
zO_g+=jMzNB(>sC6A93c&LmlxVHc}cp&n5Xr*5sc%YjRmilavgcLz8<C`nVm)L-jh&
zrJ?g>uvPOE>eLJ61_q@=*ilrkk&}-vq8U1MXk<sy-W_SMv|n|Wc6mx#%KFVA?dmWl
zipHv>9NJUn@Ulg&(a*{hhm?|=gTs-Bl@i6B0*(UoPk|g&d=f-t(&?*!Jk&>`vH-_u
zOeJNS2YRf9)y`U2oYDg2<mS-Ajfdh>^2I>>NDUV$1<i9fNWK^!KA#jc+bb-~b<VP^
zNXbH}wK-&2dn7snA4hKlXT3dlBpEk6XD;*BTqZ|2%6QrGws#KR_V$>!{TIm_C8Flw
z&E_Jk#PDnLB1`k&MM^_yvpJ;MAI?3)D>!y~4`7cwiZ3UrM~^g{sO1-yK84+y-YHRM
zgxQ?fsF;c_E{YP%`>3_Nm2f_HMaupuS2l;_L($=kUQ`OsGdQX|#gS|E_}Ye~>1BV7
zWty;-DcM^ntv81x_Z$gNWFX8?96#=l<Fp!F)^Vm3U^lnGZ<NZgsQ?`g`>=Y0TT;4<
zBgGQ8ttF07ygY>>W%K5ceS<&|dpm@b_cz5}oTN<VCd})bta(kML;1uxI9y6;9y-%J
z)nAm)nU{B5BrlY^oP(E<N7>Ww^B$zF4&hZUWb71Q@pV8uy=WrDIz2__Et1_}_Yu-a
z370kx^jP-qx=7h6WjTlJM_Km0VMva<r^HTlPfNa$I<n5S=Zh$7;X_F+xaROe6TL@7
zupJynQ^y8oI?h;TFGbprvv`z5<NOz;nJOYfL@Aq!$hJ_5qav~slr*S_`94j{D`G}X
z)82}hvC>qrB4&9s;i`za5=|H?BG#v1x+3CW3R){7-lV{-B4REIdnzJgq0pit;sYAU
zD`GUJK~O9JRcLsq2+vMVRV;W^$k|kcpP;TR^7|F)NEOi=$gD)Ec15Tb$ESy-`yz$Q
zY1rlCooY4Uv#;XhZ7QKD^0iCpbgZ#5-@IkYdk$gun%H87i|C4BQg|&Len3ZSAxidf
zkY=Ma`**|}D*81Oxm80(SnZdU2T9)|MfzE2z%E5f<<lqyM(z*WDzK?_qSM4yQ>ubS
zj#=z+6v<#@dui;gyb3?q;JQmC^ZezXw*K;vl0j=s@izs<%CF%cBLbCA^m$VGRKEwm
z*YAPQ^a|BcCY@jM5%c%2AT|(ncUR`b?zHIkt#HU3I(Fr;%W)lm$Yp;4U(Rg&lQkP5
ziNA|UeASUeSLr6q%$EhFzQ_!@LbLTzI=2=F+@>d;_a<?gr5!VP?cza!wly~m9`ofE
zj-sNxbCAc)I^u5Yo&w+%I)GPMv!nsIS&+DdU1j?Sl3jGx5>BVU(T&(;+pI%s8cu14
z1p+j_GdPJ(=C>HDd#x3d(VumPa(;e7@}H0R&*Okc;y)kruR>?)efL=NsDXF4D~U~b
zku`OvAknwmx%Rq^QLpoHRB65F(RB>fRFCV^hWRR5i<T9^jd5@D^Tb<T@RsOl#|(YV
zw`NF#>$R>V(r^V9YnjYNHxa+Ein;6C)2c{z=HF=#@v`tuqh&e`N*n{mM`%YEXbQA&
z;wvQ|l0G8iJ1qRSu-%K0Z4vg>Blu0mQrOj5D4#92*%$W`i`L0UYD|@WOGH=S?TC9f
zVhq2CYsPxr2i)(Dh<3k)7i-d`y*MZ1q2}7lLst;0gaVq<HdQDDaY7DmU}G>@`{eFi
zOW>U+p8RGWCrE{ObMM44QouW(M1+$%6x&>>4~_3~)Okh5Hg9JW=@&)LyU$$zaC6eH
zm7fx6wN6tEhe-=JwqR^NWi4-3Y&PVuIXvVm4>J_Qoa!!(vE~1;=0|gvpKv81{nN)>
zNnF5-tXQ@J8>0^ekzCBbmt-e-gO-%o>0z5c7R2IH4%Kel&Cs4@z8rT}3}$|ELr(AE
zg5`Y7vJy8f(EIhjyCN$4^}h)cmn7s3N3#V;v8Dzq{)p9`6Y37jy~F_(QFRzsb}f1w
zvx3*|PL4s*hbqF6qt0977e)yS#J5*|l&t^5^y4G=@zDFeadX%iLQch;cc~ZM(~)#i
z%IB(hHa#e-Yg(T}LK0_Xm-D;xF*B<DnBs2FQ8~)UaIGr|=@YJE%;!51vG-_MoF#&3
zR9tjM`F=|5)4BOg6hxr-z&qI~&>Rz!V%(3~OakaggTa2SwQ910eP?chWy2IJj|rqG
zsLR(U@^orWkcVt}oUG6a@->!?&UGf)682yS>>sn{SR1Kc<w_!L4>p}7<U)>A?AIJf
zNG|3Wsa$7+J4fl35<24sS1P~+X`YYke$L>&1aTt*78AWQIDFX<^4Pt~Hb_@44QBYt
z=fr(0BuN|!<;%4^Djb9)FwJ6~ZbQ+6q=ouW*0p9+GrS9~BnA%o^)%!iM4eK-=HZek
zF<le+o#4DrGrOeAnX@$m`{UN)W_2!}7)izjzxj|~&gVq@DsE(vj^&4~In%KGVOJ6Z
z$8ysH3V>l%51oFbh92F1jTpH<v=%Naa+`7qxI{oe%qe&+*75qRH9s0&pK&EIaJ=@P
z4zK_~-WJ;M_}Fg>0*W-N=8M>n!VGW(S+aamuXesDN{sx!TdOH6^80f*=3mH}C)8O^
z3J5|u>DN%syiz5a7h)>ru|zkIf3s#<Gmo#ik{Gyo+)YDmWF05O)q$f3r=U#l2pt{d
zp_Vd=rpaumj1ngU(ZRHd9)A&Z*ferW2Q^Ob%h4cAqcmBDxE?XzVj1%R$(Z+B@r;4&
zgw|g}85PS|s#}I<&9i11*SeAzxMeJji~W*FE1xrR4_J$kwNo$4#b;@%E_|7e#1U&A
zG$anXk{CD=yCWpL+xK~+0msgrhDRs7Vla+s?1I|4GE&!k(N3asx)5M&r>vEd72Dl0
zw)xxh;h~rLP9q-*6`o_3PY9*-#^t&VRIGW`Y+%xr#K3J}e{2K0_o2-2EV=9%nm^(8
z`e?1R=;2VdDozc@vqW}0VGI{ViLK(D)@sUX75k-C?8cm(#LSbJd59S;sTT9Gn0*%k
zR_NyOqBYZ+d30S#4BR}t*gW>^^G?#q^VQkb4(4voK>w7rz*&LzB+z^EHOX*1lU5!6
zN*&D~x8_Vk^TVzr299PfM)Qt+-U#lnLx<+_!hZXGGrhr>{!eSMvtpW)nBI{`JsWl2
zChb5}mhe<qSLv|+p*3?Fte<ryF>qLAuR}$t*oDN!)j_nYA{l7S-JAiveA%EPXQh+w
z<yscOF#K=OEMNl*uJe)WuB&x4|J@aezl&?i{>_y{8cl~(sLZBv4WR=G$;Gcb7RObH
zi)j12_42cGrCios^=fEQ8Ar7M+vNUvvPn8M)>uPY##e=1U)C_*W&N$1_t+~)IIIUc
zYx=6gbjc;TcuLR|kadhF+(~~hTSM0RYpmrryLL_M-K%rrDo*m~G>IlI<0-Rr0;^0*
zY>!$qrGawB6%^MsikpvcVtSv4E3R<&oF}e=!To7`K`q@sjYH&9`xCRi#8|!FS}j?z
zx*5Z;NUP_W`FxW3e8hb0y8)XCxEX5>HQ>&<l8}D0#n{jH+USNe=xn3)iT0F#zE6KM
zH(~U?$6Bzg=xr2>4=v`*+{a86iSM;$NCWFTTuG$Cau_G&P|JPYfrRAZ6|<X+v!@<8
zOxGsY=_Vi?P(#P7i$(MzE`z6Q-V;ZM@WwzoC5M~^ZbjxRP1NDCI}h~O8h^(cxvbWB
z5Pm<BIq$>o<BDXlxK1+XS!Vph$ED<_v1vO`GLw&qWmf!*Va5Hot$EiB_mhlwzu;(S
z-i!0DIaJ5~p8^Wju~v<%SxDRhE?6-vS<l{-;rl0R6=a3)+8pi$Cr-s$w8Cj>NqW_>
zD@-H6SFIV-u=%np3E7?hmf@Z65n!{ZI1muh`hdU=dC1gu#lEc=x~<FSXYQp(Tw8LY
zjv!e?Aox@JlW8c}WX+R?+Im+K14r#z5iJM2hd_WQj%RAa#&HpDGGLygEhG4HYf-ay
zzUw$<#*!1fW>o;0;5C7xp=x=*HD?-*ce#=nIF5^s`!jSIdSXC~K4fGH*34%`W^t~{
z-=2WLP+<BxYZf#Jo^T~Ga0u4Y5qmV6izD_LI3O&EhT%B_^MbWVS%F!Xn^1Vl3!V}f
z87imVV$F?)(HmV!3>>3vhe|l#DU}uwZZEw5FI}&h<poCZL)JoPMKPDdwWi=YnI;ep
zP;#As)lfwBL)PqRuztTQiGjm<O?WgCO&sRP`pn*xq5K_dL9;@6Z7xKN!u?q@KUW+x
zR95}AHDelxpL8WLa1d8vF{V?+8vIj+xn24p1NE=g!ej+%HR_)d+$8#!p{nVhtXa{Z
z`Kl|4fkU$irR>e}dC!~bRNH0L8*|<+IllF4#86$cVo;I&rW}gV!CgMZTmmsewb52<
zjx@wJxspgD=8&I}DIT7$JCKlE%#q@8&HHYAa0*j-abz#fXhUc;h2twyvx+`#*lJE#
zD>!Qh-;~3qNaiiC@}^jgVGi+-H9wlo-0w<a;Am|>a?Y<}>qj&jRMg_3(mbBkC%b*-
zw;0i;wfI>P9m)kE|KSW#;Xhx;J_3E~z^Y@0NlM+CLk;7qD~W+)ylJFZ=^#5(!Y!9g
zIuHjJUTX8kevKHx_gD*;6~WCpUvQUCbEkAl!;Gb8&5#DzJ6uT&9I%zIEVnvTePjrV
zQqLHkpR*PvD?F=mIAv4eMM1?d;rJPAJ~UK*(v`%(QMp>J2lT}Dda4sOU^Ht>M(p#}
zVrE6`nw-jKKE<bkpJA@?C)QkP`2CS9iGkyn>N$z5S?U>Mv}om^!q)}4a`AR`&EGJ&
zxYGLDH7qW3B{6U;Zi{cJNU!<PHb(3^tv4sC^=Xl%Ifm;4QfW2&*BQ}Utre2B*WI2Q
z@8F^l(~2H#XN)Bh8Jx31BBd)DW-3G0tZMMz<Vs@T@ZU_80|#*_IHHn6G(F%wtUJ9L
zFsBtz&j5PXml*0(*1~6n`exqRD7eoT1ovE44d!|IR>Rk@+v0>Ze;U3Ixsn(-zPB8u
zL)Y3JQIeJH;j>4fHZL;H9cv|I#ran3kB_BDt<%pIts1sfG_9G`z^=QJ7&zG5A1#$}
z-W(lQdrkyHaV?P7!dB91(R&cbO9iRJ$}+#jFn_zX_*r4zj^oR~e_rw*R}AHu|9lz8
zB`F(VR~<8Kjd+hWgBrv=R}uq<cnkUK(?^a!BB7n|r^?mT2FCu)7{p(+7BDM_TZK<<
z2Gx!PFXT`eW(|8Fe$JXD4Yr?gB{6W=)*tlS=$X-87Q;-%*n+|OOKY*Rg0&$xPJG2%
zR+ujZr&W3x{O7H?(Qx_`R}urqY4Kr{deuAaWRflZl<`=)YEZM0CAnhw{R#$#tq6;(
zInXe;(v`%(F<2`Ov8TIj4pqwys!vR!VR+8C3|otowV$lZ;pFOK89br<IOIt|XpP=W
zZnfq`LukmA#J~~SF@iH~8~Gyb)<hz+)j+*c`CLG0>XXUB(Ij#f?=hmI)+)$~=q)(x
zHj;r>AR-wkRn1{?TnMUW2iEFHpR(prL;8d(iGd@%_jq}#%!xH|3zc%)Pjrwo&k~D4
z&_LBNm(C_pccj4<aNb%qSuNmBoYxo2CJx(*Z!(Gxspd%}$!4^Mb-FcltohZfq3KE@
zZ4C}<l5$y-w+=awkX-C`t(FZpiHSQ&`_)1BErWJ0h<CZ3R83u0o{Tq)eZ(3<v(=IY
zj2p(zn>LL7i1oK>w)a6n!ePUh>l*b{@!q5(=lMoEx>U9p6#UeTX10dxDn4y3enzEt
zuZs5|VXwZpb`MPAEFNMq4g*%3YR-SlnkNmC-*hD*JL1O~)%mVD-+DTrq5@P6#b@qd
zO<&(iHcLB3?q94$%#Iwc<d8gyqOXWY1v$e`j(@b~Nki`MT}ccaxixW!jf=bK8pGs>
ztv_a*u3kMq6Ccg3b=S%OJK{)z$50Bg#hMijo{g>~1`f|Pl;nwbWVOO;w^6X@J$(2`
z5~|soGHmx*3!1fiT`Q73@jj}MQ_;&32i2`MReBt-W=n%`pDT&X5IRQ_uO<w`fS5yM
z3>-Kbw9#pMqF#TeM{^GB!o}fa@*ulXxrn1)xdpBOrY%|Y9#RtVi%A0*;P<fg1lBsv
zYCW$K))VT8Lv6^4Lq{QMUg#(vt4KKmk5$ACT3m;Xw^&2`sX8bdDptm=CDIIUOpxds
zC-n_ZFFs5<Rd0v^7jx~&W_`L{N}7WVlk|p+=kwOmXT?*7NsXAve8{BY%@>*ir8ir1
zrD5`{D+%cgzQL7*oHwy$T-3a2K;hbrkBFmcqb)K=I#n$8;%*}H+PIV3G`eJah3)F6
zt#y~xu5QZl9T_3#`G7d5TZshcrqRYw5cLz*>}dw}5myq@z~+F~d9>L%sssr%U=+)!
zh-#JVxN^!nRWG+%@E6g^;z^HT_bOxk$JUz2iZza*W=R-UICe#ne1j#4&q!Aty`hNe
zbJlEXnE$>Yap@fW4Rj<ac41&Eji|oxDK-e2;@Voergth;zn!5yL-rrmy2uLIHf+ld
zdFDafr@@+e#*ub{XT|+5Ho5=*Yt5a8)c<xRA$#Y)xRQ|WpY3Ik?%&x*Tz3lh)Khll
zaCu@PXkyk!e;f&~8%Wi4&DEHV>b5n5nh;)}LoXl((f=j4amQEA>RNrwP_mb|W=ylE
zTLg)|J%9esVOV_zRpE3hag?A?lZ##LDI;*&TF|WBdQGkkekd^>@uPI&C8kdNur)85
z(vQ26ke&EJ#%;cnT^mmF;)X{zB$k_S#I^M43g#w^)3mi<S#jE!i)K&>&Jti5@>^|d
zhBUCAbS04n%fVerkIVhkfrR8@P*K_SadMlI0p!RK$o37y=4{QD^aIvf&uU56$7ya%
z287=g?8Z)4jkXMRvfpRTm}XJ$6D0cj+<Bi?zf3uQnkGO|zDCS9ypc}3PV4^rJ%Von
zw`7xR#wV$x(wwO<pr5eTTUJ0{mQ#+RCQKtw!Sg9Uluv}(Bp!KsA)ewqmYO{M$E;b_
zp#G>U3E6Fb*_DKJ9&B)fbRMo5pJ8=IH|=AF9!=kPVh|Qugria_db53*4e{Ts^_kTW
zcO_<ZBu(s8c*@YX<YM(PL&f&jtQpnJ@1I>sNb{Rx)NloU@9BWAL`A^`4ntR>-`E0L
zA}=gTE}|-o<ec7-2AhGmc2Gh6o!HhN%0_iIs%)`6a7I^@T*R^|?#NKmeXTXWnl)VI
zN+N9y4xU6hBVK%WAR)Q<LDwZm;sWRLz5xXX_QS99l=Rv|_1d|5wbSNA)oebk@`kv&
z;x*Q2nf(+AYpkw#-c()jsP(sMW_Cu9=&RrPpHgm4Y1BK{@(!ImnHnwnwqk!UV=Z__
zb$7R5>O$vCMsZ0if3B4;)N0D?evK*oIA_g~21U!2gzRe#MsvO=np^oSG1{n6r1ZSl
z&1OJtmUfKWd#y#xirZD;iDR@G1D68U^MXeWIm4{;JFI!qko#6w5}A>6c4zBxPz%zX
zD2FMCYDvAT8Cx)1ziKU4R=76M5iJp4;!3Dg7c<mX{E{^{8c;tkNL)g1w@VpKaNU47
zHM+GA%OBO5T78O=ovAZw5(zfzx8HrmWtU$@|1o}lWv#KS`0YZ1Jsu`;T>%S*#gIs@
zzGv^O!42}4>qV-6Zq2F&?w`7nkiGDKvVF|A|9o{HE5Mpc0f#4v4C^SB`ZnsVG6fzY
zm_CK|ih2?Eiyy5warmt_bQJgWl(9gHb5(0CDj{p_NXFO${2n%_W$WfA4%fn*?xTGS
zDpFBg4IQaSR9Qe}LPd1QB2<Kbgofyb*ib_<K}3dUaQ};~MbZp!fh&o$;W@<FGE`^Z
z=0HMnF`)2a^O@<ox@PJ<JYK=}jC9D?uN9l#erqLX^<_8+ILTkW9`YAY^46G&#qP4^
zNVA;1t|SJI*_IRarr14mSgzW`HQ`2@#0b^D8Kd?(YXP&Owly~e4tdTV*A*~_3T%c_
zt0$~k(qMayD~W-_cHPlV6LA$zOi*E)@lGQIY@SVlH&<hZ@GaKDW`*$j+yry0ItN^Q
zircK1TLnl%`OF)w8PkCLMpqJ<fpiYsM=4ULd)vv(vHPIym#aH@=0%klO8A8!lIN_^
zT7h_N?sHNG@(pY=KV+@ftTr>6qschk0x!Bh>xCzKbi7JJEttb6r}A?iwz9@_#_IQ5
z3!~ZD_X-l1aNe=`43>vZoP2QfOmytNhZ{1=wWRm%+lo>Aq_yB#QN)l-HwD+qxaElM
zsmGd7p7~R{ys;|hH>`Qm!1#4n60+0(D&sld^MnnfGp#mH*0H9K+qP*gkc7<Kgz@^S
zwP0EC+L&v_oWVOsoF%|A#MWQ7W=I3;Z(T_Y9IRVUHBqsI!V65<0?g^NUs+=HCPTYv
z{h%gZx8`tbiIf8#G|PP^aFoXkDVp`xY-)h7aV3!k++ijpCsXXO9Y{zn1~i!xmu4M$
z@aV|t+ivH3iQzm`K7yRT)`Sh|erxq+_YvgNv3taC-gY~mc}1KlKEhBGci5U8&0t1c
zNu;52KwBCNucJ7SkX*dNHGdT@ls!A!LRtTX9Onr2*3&_u)1;!!bo{x`d-xnqv1=Ae
z6sn#p2h#}yt-Khon>}j{p4l8pcH_F)x0u$=zQOuiHLH7Ckhp{q-I@`vC64RF9pob0
znowz1f6V>;yRAjds9@}m^z+P7l>e1|eXS|Q``@ft(X{^Ut|VkHdk+IQ-=W)<5o~5S
zkGvyN;Nr+4Gfe%PF<if9Enrr-w&wgAfKoU#!Da~Je#M$44Ypr&B{6W=4j_m_id}3L
zKN(EZz7*8ZdXLg6lOvR9$02`3WKSYTmt4F~cEO9J#Rl*<)~d>C057LNFO(HC<7wKt
z0$HQ|5iksr714btYijnac5XxD_t(~ZYgY1?t|SI-B|{G*w86RyiqFL&YCn5O<=3*m
z#@MgkFh4=QHW+qy<mx0rp33K2w3N~hWu?qvttscd!kR@5=B2JA(l9#&TQXkb@!Nrf
z<l?-r*S-b7&T-Y+`-2*yCvkk$3A))XWmbmgY(Mu|Yc{Lzz+q!CPkfg`Y$(Up`60ye
zn(zbGjA&M}Pms8T@zwQ;)<=p6Ut8GnhSaLLnsv_BjL5jPBC;alsfhTJ-?(l``s;P3
zU~J5qGYz80T}j9;^lC=AUohs}g>HMaiKQUSJs$2fy`$wOPLiG--sDJb|2o6{ytPKM
z!hL&gnkB-a0?qscNt9Q*q`?4G{0&jvo2^;Z@PC%Uvpx;WwF-F^=d<bjiTg*=1%v5_
z49E{!OPLjr)j7^ygPZ&$iVYI#Hg&l7TeG4m{J*=BkR9&3T}jB1lVQK8k(0Z<0}06m
zj}Hzcq%L^;b|4YvTi!TZzGeQyf~!uKi<5z<3_6ahMC+K9Ormz3c5fxTSLMBNcI7M9
zXq(NSBsFGNzR#3h`I7awYL@;*LE;jQ{(EJaB*y#)Yq$alvn4)dlJ>to+{En-esjh<
zF0LgQ#SUfYKB4!nBMtUct2WM0?5{!9y;CW*L|rrHe2Q!|7pRA_(GimvR$8HKapHD?
z$(=2?=2ruGi7N@&g%=7Eefyg0NFz4a(a9uq`=m#Ah|vl>9Vrmj=OuxkyE$XL$6DZw
z-LZRvSWk^O&I^v|FhGT41x`aaaGN!28k~7o5(9^G<3YcLGD@mAroN1sus8b3!$}PL
zv|-?0Wi47(;5Om3bMTfY-l#9q5=!e_QAQIBOv`MKSo5Qyb=sB0z|mTJ2y@<+hl)-!
zQikV@(lgc~WkqQnic`T8RhgO)GF%z>lr=9JLes7!29D6pgpdFT-ADu^57ubHOohwn
zUl>YpI81tU%=!{z`95pmvtqejU@4$PM-x@V<%oOgf#`|Mz2YzpRfOMV&7cPGce;`o
zIKbNhVYE3z@t6W?T7wF2`%T3^ncrfFKV~g{R)~j`h(}~QL$AtUtNbe%8ww0RYR#dB
z@h`iQ7&yjzqe@Y1utym^mG*i=0Jq+3`&iK>_lr~mAor^?Ej+`jR?tlCH*loE_<zY-
zHCge$Bd#lzve8wCESl*0ltqa|!vT#DO&xL#=XQP3np@2lzTiq?;I?qpi6Cf;(e_aN
z9Hl*R=^DH7^T{Y_wuX%A+D(I+$6TG80+(X^EyP^1yFRaiXQ(n+WzCcZ-f~wG0|#%z
z@pA1f<vPXTY{uZ$+=KzU(^{~s-EbprGZ38d5~CrsHJsS8$C@1ts@q&i3>>PgDV*+X
z4H>q_tcA=9Tk87J1*X$3US<958cL72k{CEjBT<K<zSNA9Y~fH?ZbhdcwkSQ+!p2%;
zjFMTEq|=-SdW`uStW}m3^Mi3$rCus!4#&uHTqU5$oXRArF4%A)#xvHuYZmjAD~W+y
z%+ABuhj>n`Hyt1KCYtpr&lgAL`Qzm(HniZ#lon<c<Kj?>q;c52%69O5){4k#2l-qv
zlq6rTV!jJW^1e81FO&p3breaI@Y!(b;rp!F)FA&ZR}uq<eAhvLCTRWn8@`Q_f7qb|
z#IY`wF-70ai?_FDeV1YXgtaoV!#+;ZP;5n_h<Q?zRvW}`Ra$LOoPyfZ4VNZ<%$iLN
z_K&)f7&z>AMPq{ozlgrF;(up?jI@Kfh_E4i#acaC4S_D8;*c$A5X4tLn?<bB_x69u
znqSQ#zUWFKZ4r*keXMw1mU18=x%h(X;#j!o_@+y{=(r9ie^IqDjcq4_cBx)WCVeU&
ziWeJqY@VN)A4zCjZ2WQ4V&l!$->TVGPLQ~Si;XL=zSyiso2U}|sgsY`>K?Eb(cIlN
z#dcTb5VuNB;^EwQ9l{Z7HZ)BibR{AC&%F#*zltH(6~9f`AYHB@_@M*tMx($!Y3tp7
zjTojWYvHoOv>9jAF?Y1xJr2Q@nv;d5lPxON3~7K(x{}BYm~)Aj>Y1hto~dhUz(~E*
zTB@u_rRL5HO^bIgT7SC+OIMKS>#^p2J$&iGdcBRf-)|%*FUsev*&nx-Evsgi<;G(k
z6hCD=OX$PaTxc5pVOJ8;@IT;6LKZnO&KDJL49H(zg;|d`UiNW3UX(9}c@%^C#6;3W
zW^2ec^H<h-%4#!Li>inOmvk}^bEz1SVg2^ct(nqH=ucfqND~?mcxw(d>n%dATE^!4
zbp2RYf6PEF+cKa44_nC!X^s?l46Cn;ty$6FS>Q@y;P7lZK_`A74ngdV+#-eEbVfq5
zU-fImQ0=l7E^D9K93Q)b`ZwlI?DdsNfrZBmOQ}1p8PWjT;YwoQfb9@~QL&X+8OMgP
z#3B0+iaV~RXeUP!LyPwq)-%>B$O`KYhE<Uv+8rns+;GML4p(6jl%8o=Cw+xAiyF`;
zT}fmH+BxXlbmV-{ER<<IoYH-#nsviLX8js5hBMaEWyNqa?n(%`6L~u<elvFpVur=h
zbJh%Lh_wWXzVT@Pz2~mewR<8Qu+!XBnd=Qbe0+2V`B0=Zy`wk{@GRYyP%|8;a&e>>
z)9<iWVOC7{#h9AQbVZsTlR}7zY(0sYkHu7BH<j>yt2Nge@b7jdA-n23*>>i8Lcd>H
z$U!|!MWNS(=)oAoqV!ffD3ogDCp+oFwTq&}_VG*BYRYOK`=xyt;#?Awllifjc}2{G
zff$N{f8LsH%|QM?R}up^kmJ%oymUP5`7JE`8Y~01-xjeEV3H4I6QgBt9t(WQaeaPC
zvkCo`wIZ{c&_mLM(ouLG^E;^r#dPwl20nvLQA5I_47<et+*%6FqW;vC#K0};ptLAn
z2a+3f`iw*#ml8-7C+%oH2(tAo+d8PJ+laItULR752h8IVR|6?BCyd507hi16yk;~D
zTuEF?qe<`Tx@e<uCdfv!%UWq!U5;Wj>BVKra2tY|*^S1KA=qinyk;~zTuBVvXmBkX
z2m1TG5mBFuq9hdFHv?26>8XM_TQl5eti{a=H(lb!{2~~ka$?jIi8CnZDox64Bs_p2
zd+-Wt)-*6rx{^qP>5z?;30<BjIgpTCa8A&Hgye!3JRL|#E<D%dX1I*~=1aSbz5aN8
zQk3fT-8B1i@jCXmTU&~`ACQQ~b?jd?tz*B(`dc*<?+Fr@a27tNR=dU)>~4O>THuUo
z?xq&u7MbS0KWY8#n!10?m4xg?Kgx*B_uO}p*zcHHypBF(?f;22^I5gOn0GWPi_?ot
zi_?E(&432LAGnejH~<@Ib*vh>oH!wqsPyR5hT*yLs`-i6H6PU7B-X?t-VDj2MW!|D
z%dGj)(E5L0w`iS;?&YBvs#-o9RLiA$y%^^UTYT>oj$)70maGadrjNf&&f?~uJln{S
zH6~fR@GB6ng%|oDOp_Xkt)<1cY~eWdNFz#ls7N@aPF|N0-XhbfVmDcfqM6q=R}zDF
z29K6oIF=qODBdC3ScSV8wAH+g<~9uU32V`^0=+3W9r2bg2;Nfh_@ZNmsntW){Ag(1
z?@A(#mO~IL<6sV$97sqm-r?%i!Z`RXmo^UGfm^0%8>IJ2+`oezo+o@dqBm&m^y<oi
zy?%Kr89Y>eGmeg*w?@uvj3l@*I{qC~bo^%PZ`DlhSwX@fI(A+x-0}cUTWmI}J`^k#
z8+_c>-7fj5)4KaN<L>`{YuPhuyt_45k{k-R4Gxig0f+I7e2FP~{_oZ-X>feED;%y%
zhFd5mOI`Hj6>#%Ja<uN>jM4bGwdmQ=puAU#L%3ydsG?!Q<JYX2((w2dR}#_}{vty<
z-?N#uBi?w>#tv=IZ(vCq9xI8M;W<O~ch(|hg=!s+zGj~CF;5AM42x-hW6h0*(O<ig
zNMqzM<jGN!d#(cs$;E#gjHTQ%;^8`u!dWDFWHI+~e-i8Bli1Vlo#<5CxNZ?wC?<!u
zuFZ>VTi0DZKNB=<80_8(+Y(YBq?SeB)mV!7Voj1lF*<|EU2V;zW^!9xNemopbo*9)
zqU{xE1))3vP&K!Ze$LPxvKGn4Ezo!76`mA?4C|ryS@WVHbikFwz!BPdENIqnda;Oo
zYFO7nDPw?Y;q-F(EbSPvlC_9g5xXjPmU-k!Yl24wIm4o4V9k?;+_)==fg?9`xI8g|
zOM!3>OsF4$;R!6_1WoLDZBbbj?G#ORxtnKuZM%GlQGJ`W_*qfio-0QD=T&^C1poPX
zpR4LV4fEW$S~I9Y{JblPfkV8O!r`ep@)G8YDh$sVwvSkglohshd?_696cwMU2pQG|
zf5e&>4WSRZk{CEbd3gvImUZimc6qA&6kjcZJSAOp7@U_m%4AQpe3y~^eQQ-@MRr&@
zkPB<Rsw}h+%(BSrqKdkq#Q1lu`P5MVv@3};>JDMBjHEdw;Xp!i@eQt1f-wK|+@;Mw
zd4~g3Pt!Sp?Pf4{+Uav~+G*`I^Am5AyvDTC=S^v+Ro36CS=w?z!XfSCn&()<i+{A1
z;R`J%J%j$3JO6FgqMAFureJLD5l5Vgk`EvIuL32XvDB2!$Xm0bY5f*g60&D)XW-^L
zo3V!PA*gys1Haut6<i7)?J>jih_yi3;o*A(s`-hCqd4+iYFfEHZOw`X&%>@HGQ;DX
zw7vRZr(6{!zTA6uDr<d7sAg@+s6AyZXI9j%&W(qB;(Q+JQ_2FI96pzt)^ew<nbPoU
z3lf*msjWQWizDt#9xe5ZHUFK~LT1(cD#S9xOQ`pRvQ6IX+pIa!)cq~4BxHAa7b7;`
z-t4;3LU>NBQdmXXq6)YpxS2|=&()Zb`(<lkvm$qWt`%{s^cFhZD&$u2dsmt~-!E9R
zra}3$t|Zb>Iz){!@Z|pMKtggc$MERve>aYJhr*0rfhRj>C}K#K&Y0V<{rrQqhO^qw
zCS+!#%pUWmMKgv((O0bb(TwIxg2W|sw>Q4B-0EQG@l&+b1*slfgct-nQ@|uK$@U6E
zwBgzT1@qk-bLS-IqK;gQjY-s0mu<Y;Vy!iQ8f2?nNyr|yT#%UevpjNqm*KQOBWlJK
zeF>yVU#XZh(;JNJ-PU4f?R+<eHy9G%lrvEHj&WAjLzW&}VDjL1TJxtNyT_G88d(ST
zD?K>71P2n5i$Qttp^@rj9a;X;6kp;nip5*<Bb|nv{gXdQSy}ei*wiZ4IAk@o9XUUi
zfbR)l3G$r=-Kiq-7sB%=?9Grsp0s9Bv$mojaS2`jO_UctG;;ck7b`)W1)m(0lfFOW
zJB(Y`S}9p^yIJIq3x2bmk9imP^>_cqgU&8kbEv`goGS_0J>SI0&v(RrLmzzQUd1G~
z8QL?hAGQ`bE3Vu6;VQQpszbW*EVLiC=1#-(1Fj?nj_H;|IC=zU3x~nl{pDI22T~V<
z)ZzX8n=yi)wH7cdf?ILtO30xYtS7-?o;g(JT*lMVK4Z<42HdAyNempg1EX}CO5mNE
z!O5B^52kB%+I8B;R|J5fPFO6wqKpvtaZJq`fL|mnHi3V$R#jFLczLcRWX(5(tXT6Y
zqS%d&750lT1yOe_7U4r#Q!}k(2RBT!zGlt2W+(sbN+NA14q=&$?0Cd?AR)OJRAhJU
z5jrijF(Yh}riBk4-Xp_=<hU_MTQ;|y*9~eScwG*~3&g9iDe#&v7x&1pKs6`By7CTd
zzBFUHS&+Ddf!ls%bAjhi`tTpM`ZOOf5U;w4xLd#{?t?cT>D#?1N(}5tYXxTYBlqN#
zjS6`oXC89${_tdUE}-Xo@1p}kmC?qyE%2B%-x}}_xRQ|l_Xyk0e20G6E6%8gyL)zu
z2|w3>2t_7)@Z8NA>z1{^S+VwVK64zEgNWckFwDp&y0K}#->~LQ!*j}&L>f;Amo7&I
zb|(%bBo~7k6|O<LpKJVRmy@_Ij%N2e=>m+@9DnwvY);>6t?#VnbWM&p5?+Bgr7V)j
zcF_tzVk&Q_Ir$!It~5h>uOQKPM40zP-^#<~7Vd?|Wp4gtI@ywX#+v_iYZ<d@eiaJx
zR9+M}yx6p6_N&&MXxjcIR}!+r{Jbj(*=-r~dFZwdBqSGHgW^C!>SBrODh6@U8LvEl
zY3qy%M{2ELY8+Fm@X~^PI0R7K$}@^tGCrn2h^AU6{MwB8gFV=h^Y92$frs<1aj{cv
zawpyoZ^nD5BVI&Vjqx6YFUF-xE3TiPpq5l-ELHk@Q>oHY>u=S%%pyUeuY;QZQyi}!
zsd*1$-{HA(Fiqn|8nk3QGG}Y{Vz*i=!tBK~^>-;8$<sbb;+IB`AT+YP7G5qhd9@*H
z&NPT_awQ>q@-{|!zJtrf2mMK;btaRT#h)@Zr>xn}ip>%fneq3>W6LsAKzPEM0}X?R
zTuEfcz<Kc;#eG5v(fPxv@JoNpuym{?$_fkB{t1qv2wsV^mYIr^n%1mn_|yf7zHV&Z
z<E(>WZPE-~ms_8%(cr<CCG7JKm1yf(n3p{soC{FM%@@!orsT;^Gam#Q*!Ng#Gb^wM
zqbewpIuEJy@%0S(LMXJDtyM{A5o#j`lbD~&$r~)e<S%>H+-tV*4p$PguYR*D2^oK}
zMP5|=HHX)B_86;9;~Z-QMo2FQt#-;^q#v?TecW0hS&eFS4m&l$4K3OUZWLc`NcsMn
zH6xmR{E8rP>3l_=R%(2l?(apO8fkw{%JJ22jK)zD8kX-eSbt-!qpV=%#hMOe$ww}p
zPHv=`e|T17e<)3z{jaSV)xi8qR}!+bf8LdZ?Cfk(UzeTzS~;!py@TauQEcTqG81^O
zL`0h$gsx7v#s0mxCEM23-hd`LT~s%R6EIZSj)PI`*$ZX@6#alr#VHtSF1A=RrP<L&
zL87lynE!dufd_HA0g4^Z;i&quD3;l&meZmmd81Eu(AA3hpxMN+Er&2W^^O{kv%g4M
zjO+nxC1&*+2Xf^|*8Bv^s@CE{)O<@773+kpcDyqzfxXF#?6YQEL;q#2B%~L)gAHiD
zr&z-VGf9@^h?Sj@qA&VxvOn9t%!V*-t&FUOFl;b{WSx#k)cQqVxPm0|hO-XFtU1+?
zf83SCz>(hxOtJqH{vq;<IQTb&c_%`NR=MECRd-3;?OtWnpSM;-R@8C0MJNf)7etB;
zN69n9h$A3}X^nQ-F=J`So2}W@Ab-}CL>h93@m_`uJm5HxkX+0$KXBblc<g>$msX~8
z03x{dvAMN)VR^J21Pz4hsO)SN&}>&UC}GEP{A&0tX_xa#na%d6t-;J{w#RZfLq_O9
znr*nLQQVB&3e|uKu24ffU}3X!{ATz}^<;+9gP*V#LNn@*xRMySIqisT;$WO$R}bIp
zSA=Ns9-G1+TdN?eDeN$qf_hq}sU~sRF~f@D=d4-Ofc||~68|Ycr$Utw_oP=a0o~_4
z2KtH{1~msU0i6m^Lfq9JZMa|SKU`7zyG55>#!~)YR}upUdfTh+7hQQDQqH_|rgiZo
z!dYHmp|=kV+HJY>lVUtWR$4GEopdzJshBR+Z?wPBnm4WU-r!1N;FzwKZWt%lwo;q#
zw5N>Lacgn1dfYX*{dyAlKsq)ebsXZdW6N}G9<=5}!{(?fi8MA2F`Wzxc|F#FgyiDN
zi^*qU+5Uw~yKKLgr!wVYfD5?7g_2Xva;;EqAfTk&X}w0lXng6((5XWsI}#42^0jy&
z{yA$D%_d1oFfPRZhiM`HP1fJ4nco`(iA$J(y5m7AmMwM)(Nfi+dVH-jWuFe!o6Vrg
z+i|1Q>{Dw6ZY0=ue4n+-G6L1zn=4Dn#ClXAmMkm;izSPLc4dunxhcu?K5KS0guly`
zgzVbi$wo5YNv3rw);NKxSx)UDF*RTqKVdCYRv6b~twG{6#azXC;N_-;{*PHRqk;5M
zR}z^)a$dIEe5O9_H;dv(Jr6#RDtYzu`1-bDyuM;BUsk-f<l4-i=yHt$jwlKFQ$RBu
zhxsLIjx^A|C`epF-+9d$Y=nrDZ#b%$7B9_s%-)niS-Wk1CN$ch)xB11qmw%$nNuS&
zCa<^3nlTNV<*p=Thgu>?%zF*TmPfH+nFhb8hJ*SPZBa_Z7Tx~M7`!{J1<cx`w&tdp
z!+cb4LA^?FsCFrnC){Jrlm^^wt|SHy+_A%Df3l8C<;qWqPUneBTLWMh2QWNbP_buy
zyiMC;;EPb39z~V3Gf_m9seoo)DYJPzX067o=5ZVa*0COh(`7xtLLxonSr4@5j`hI4
zIno1K#(GFtl)+8E%32Q1q8@Q2k+vv@>5-ga@nGRVLUJ*nFl-}dy$YE2kSoF%qYv+W
z+OVy4treWr);8rh4F=xweTH^JvCai+el(kT&XvT#(K>X0P)7}L6U%UzN#V|qX3*x@
z63w1)?Dg4jxdcN@r|LJoSNhdXK*wQFr)y#8sn?Pt&Ad=#OZc$0+Ok^0;oM{-H@5Jq
za*MeY$<4Juxcf-Roj*r%QyHKlx8iLK^&CHJ&AnzfA8;ixaJ$(+eVa_ARVbe=xARpT
zkDf9Fa}!4Pv(|!TMRsG3dbX&>P&reeGAvzv#+n@ss!zF+$PAVHl<T06n<WrMQ23zi
zwN3Wh&HY+2V*h3>UslAnpwhZ<mPU8*XTHp9xoH{dYt|fTp#8HTaS5kfs~@ZtXqygp
zwu#{}34!*MRex=6P!p>)NHWFz(2yt>51?|>T<R)oUNog|b|oQu$_7DV-se(b)i46`
zBE>FAaMBMMn}gQEWbGDFNilJwLu05Ty4RW&4VrsgNempCWqc!t4vYGLA(^xmA}b`z
z!#g*0I1E#bqBR>D9KI`wG#n1|1Uc1UC+R>!axtK(#u`2lupJaiwepjl^j2a0F&oIY
zTB|jyfvgRW`cpVk0uRFq`@5}K(TwDst|Zd%I3O&Igcp7sNJuW85&2KQatv!z&-8{W
zC-CnRy~@M<&nx(!QU2!<@lU7=;sPsv7cT9J-|CY=r-@O#7U1H$=GkNprm{G$fcPD2
ze9YEH;u+WSR^h8cO?)B#*59`NR?V<JDM(zx;OLs80fssxp=p6&_M3@kZ_3^LtJW&W
zsCeX~ClpTeeQyk2X^Nn}Y|WO2%-_0_ke%&+F}U-+26xRNT<%h@;zT#fY<giAImull
z8BfjLlp)-7<NQRvTHgVLbahM2X$nIb2Cp>brPo`tr9rsHmBhdy+<H1Fbg*QJVg)vA
zvxn=>(vHE~Z!Kch{&yAXYC;}Uz$pvhD@~hp@3Q7eLvF7tiGd@xIShwzGp?vXF^){#
zzO5Lw*IA2~6}2r<a76skzS@|-I7V7&x?=qaYmPL`UgJt4GiJ`onN8wq&#FIzTVip5
zU?FIro~4$ICc6C^F=TJCmM$w~n{!ii@u=V~uX3j#X2^WL(V8I*v2PS4E@AL-Ggpk{
z&++x*IK7M0;3CQC7qEpz{GA-bvcAMPeZRF@vf^|z_Ow&IOUONrm1FLCBa&oZh0PS3
ze6KZ!8gSp^N<wzE_cHeL9h+<zi51cB@;P%8M(>l>f@MW-V@}$asg!FaHW3-}J-=bi
zkOtPTyOKzQ<uLJ+b4Tv$4kRQObA+?b-kFv!J?R5I#YKBVCyt*=R&aLbZqBy!|E%?%
z)t0W~n<!0QJ3m!zsDZ6v9pwL5^QD>8zX}q49rwKFZ0`}LW1$R!7C5HpOe`^4;SfJs
z?da67^|0B(R7Bi%e!dJpDemwytx8`UDMt4Cn+7#wxhFS)bHMVDl$J_J(mYElmQ7+o
z`C9i#P<keo-xbeqJU;XqYrZw)x4M#$-FTBL3F%DO{=P1q$>GC6vwSWpRHj8QI%u+i
z15AZYQc0A!u)tS6j*Pl+=WQ{lCIgW9A<3qD%3AqZozjt9F_c``s#xw*Bp1bC;<^K$
zuZT~_n|YR8v0=lmv=i3sYZm;FAko)%&HwQU*9nUN{O2%Zqt$fsSvZ6UrC!ZWHC4hl
zS7S!8X|0B=C|=JfGPfeK1h;f#63##u+^YDPqRYB9YZ^jTR}#|4lo{mtjxP5eL_L}~
zFst0gP&64pInABkM7fDQ##&zwa8iU`I^#%#fq##+YO(^qH#Z*2mPe&WBpVLFfN0qI
zj<tKWGsmJO%)t=9_N*D!%;6obBnEB{*B>oY0yGIcs&r%RB(8;<vo%BfbJpT!h1knY
z5WgujaaCl@Zvsuja_7%j^QNKslddENj^+;KCMa^z2h(GBT$`R8o-N*Egg<Ysf~*MN
zl55GkpvZA+9aqYbz}ip|`6t#~YFPh~D~UAL4w0S=7J0yTAR)QnnWqB@$ptU8IgpTC
z{D$j_5OIOE)3+|bhV5U&>fw%Od$jg?-@?l-D{ZTc;2$i(_8Tjmr`015<4l;T@>60A
z<e3_s!9mNZIAg9&8z^Zecfv1}%9z<5r{Y42n}vzC>4LUIKdWqt*FCr2JU{a<QiyT2
z^;&#YXw7o9^+xM&)jGrtf<#{o=0Ema6Q6(*9q*AClJv*yp^jRMYW7f?f^pk=`Y;li
ztuWT29kOOc)B1g`BxKh+z`)IWA6Y|7sloYvsY?AZ<8#(pqU`w4l4)?>l%ia0N>G-p
zSz&zMec5G~Uq=5`<T(-nYuVaGxgH<1VH9QY9$)-KvveHDK9yROF*jip-exU&Runeo
zTHq`nT}c&j77y7#!Zi1Kt2IMfUwPh@gzPJCb|oPPOE!dy8Z77Nv92bwb+nBsJe96Q
ze#|p^)>+!I@%)0dma-bpRdBJ)V?N?BI`~QTwTAHiXRUeC?B}OlNl5z{6moF2l@8Ky
zfft>5<?+Gzi7=zPwSPNC?k}uG%#IwKFY_pmd<l6}`o1Ap|1)czH01u+mBhf28#*1}
zI%T;5_Bg^tY*JE=ff=n=X$2q&WcJq>*CpEr6jgS2pp+$&Kx~l3)+0!uo-Eo5B~V~C
zthq0=W>JIr3Re;Xhxyh=XdjmBoS|P0J1N$Bs+djil6MMet2Y_!ytNv#cH&!e9g;(K
z;82d}7LL3sh61-?rS2AMCN;RXyOPKZxAXk)hS7E%iDjI!S<nt+^oB<7Kb%^3&Cs5)
zJ#8&>R%|^Ctr5>Uz^%!mI=~v1FCMn$Oat_|AklXU*>@W68t`0ys#(W)DURSr%o9l;
zchjWLowGF~)V9_`c7zbe6Tf1qN%9+`l|aZ8L_cZGn}$)%m4xhcXI)9iAet>@kU_L_
z*I#=A)0<kmGlkrF3;VF{Kb$lp!*e#A@3U4*R>N7Bn+kcNgMLw>p6twqZ5{8k=0!7<
z?-C^XcINrd2Q4{$VpOb0C-p5qW;K7zTC}WcUYcu8wZu}A+7XwSI^svInb7q6%dRA3
zNBjkbs9)yC)vc}?IXrU0t8<1lXeQxEKV(q8WGzfqP*&5i*Qh#)xlzKBC8ng$7p+;*
zp!tF;i8M404o><=?tl&?Bo_mkuC6-Oq=G>@VWVAcqypabLpG3WhXyr)S&genLvHed
z8^u5j$B$lR&4^|mn_Wo^9GI;mopzln%nDwyJTVc_CW^9Qoqv{g4A((x5wrH^t8#wC
zV?NEJf}G)S(tE9W(vZ8ymBhf2TXi~URQ*EW;ffLzPp5ot>LFt^X)R1vjIi^Yxyjd?
zRLZRmhs*U-V~f^|Xu$ZcBnA%*&-|%lQEDy)OzI&6)3p{RJ1{(dr!FM8QF_b@9heK&
zjA+0-=SpJWz}z<KV}V4}ERJ`uRjfYE2L(l;ay$z(C&BGsXK+7kt&ptX-k!t3W2k3C
zk!2ndq2o>S5kQed@jTI#GGD2~|HIa-YVd!+l|*Lvo#$zLaFR*2Q>3)qY{?pNH=Mcm
zI#FON_^h>FvRc6%bRr7Ng(Z?GrJ+I3mSOS(t8_#7j5W8KA$&@Z=sO#n_tegPqe!UI
zabH6%oOp%8)Or&oyzyEzb@v_7vZ$Bn|G3=ee$7!|JUPbwYu1{~iu=7etf-R2c@`K$
zF9eR4x`j6gmw}Vs0n?-OP_W80W&LMs)-@ye2Uil(8+^r;gq#<#DSmy;i-szPQK{5j
zp&kaF3>A`(*qV0iph*$GdgVhSuS&ilK2aOmh@92z=m4hp{PKLoKd;7mt94g$vtZfb
zj0{;xk#i*>t%&EfHu?x{Sy~a7J2{Y$TwLe6DoI=b_iwtiHE%Z_s&=sGPL<T6)c=uM
ztAouQSo}klGpcY)m|*3mMbR}XC2P>k7DzH1%i4D0t3r@uSzBQJt(wmo7bGs-z_sBJ
z;y2z)G17p;Mg?K|SRiu~?&;54OPo>9-HkYK0-W)VT*+BHgIHl2G~R5@jt0Q9t|Vkf
z`vzAMvb(bxTvT@-yBIFe-Mg2zyRSWR9=rL`xpCiI5S;b)+>z|tcf@`Bm#qae+Z+j)
z>f2h6{srsr(hTZn1&O{rdj1zCmd2V)Xt1k%&YkzqtcA;{$nLUS5TV)Abo$5EU#sc#
zbFL(0C;fefWxf|9c1OzhZr|rAyCCRn?s})?otkNva1nS=J6FcB6|{1f%165pU^o}t
zGCw(MtzUF^$8hFvN4ziYEzWluIOA6cm2U{4@(H0d*e|zcPlNs6ziwgQAH%+TA9hur
zrJ!Xdx?!N`w|x=91m_#ox(I0cp8|YQl-Ll4tTmmrU+<TOup3*dNz6QnnXgaR@+77h
zu46It2{AQ`xXGGN%_6qBk{GxnxGlDbJ#Yk#Dt0*vJD^($=o(eAd$ozZpkylaB<ZZ}
zUuW!(TPq|h_P0sw_vBk75F?J=tRxU`a18|#Pjt`!pfz(E;746aqycw`tz>w{W4Z$g
z$;D5*`m%5~_O}1z@N93wUMmOV@a!$t2$?OA1e_~8d!zMtX$JL;g2W{Z&v1Pv2f7p?
zi0kcmX*!4_ro_IYxtnvx|6XfVWK?_ClO6wd^m4yCBN)bwnqk1Mcl7VEW=6y1y{;r=
z7yAx|cD_TriyEO5*j^MRhW+E#YRU@x{Eqd%X3eK&5x?R}V&E2GKUgQs!2Wf{{!7*h
z$%_3vjP+l%W=;eA3$7&6fIAG-a;)b8!hwY3;`OeAgk$|TU)r($7GwgeWn@_o)5Imd
zft4cG^bX@>5O69E0&co>e&(Vi`CLK3HtX-wEbV$h;t~b{@$!m(s7dk>_w>WoBAR=;
zrq1rlctJ&Q5^6@Kv`4JJSyS%IT}j9ew4d>r?~#0Mw2Xku0Nc2zD4qE>JZC&g)*@xa
zV_i<%3`7&_m?sUC!20VoP{v(J3>=hePBl>o_+*E+sf8;Obo9n#v)-wt>X~M5%20K!
z1<eZ8wW#D&I299Mg;Nc+3)Y-ys6FROA~R~v^)2Ek#{zOet-!-hBoBxDd+He#sWj)@
z%^AKQwU#(5d^d=bADQDkIL?FPe8_R0PSt4X^O_G?bE84{LxRL59BT5|X5B8+)-XEN
zk*060GB5arMe3s9mW~k7vrv}rGGw2&R#H~ThG{!?BnwYPA&cmEsw{L?wva{Zg1=?W
znugzRx{{Dx@Z)R(^F5laiGs6e1W5#EUHvh`_0QG<Wrb@kPFWTQ((r9}7}N9~^$*tH
zt|9UjR}yJN9AbPqP2hg*KtggcN0j62nm3-N;k1c>{tVsxQ?J%1%jr<3Pa8Ion|2N;
zn(uBx={EC*B(lPr)^oR6v!L0@^@7AD^t@}s#lCV4ZmU|=cGVl6v%Zg73!Ak|uFHjM
zbqY_Kt`Av%y{7B?TuI2@aDd^OZ!fv|kybF#!DWKH5L+#eH?fMD?hbuhF+de-@v;K6
z1zX;Uzi3TW@~6QxY0ZQNQ_+<~8YTz7CtW9ZOa~H@i_mrc77`HM#VA8=H-n(}uAcF9
zw(R$1br&HH#1eh4A|}p@@vAVECwfCCyGvRql`7Jyv(NSLS3986DIA<Ze=ThX=iB4;
zI&Qgot`~GyaE){@QLe(!@OI^WP<-Wk>Bsx=Bj_%f^3NA>l|`xd(0|~+?&5-v9fY_l
zxVvU#91}r4=vGA6z3#H6KOH@<d=T$<7fe>`<Gl;rMWu4F7}R<%bXSI78Gdk~yQJ2c
z8pm{{*gJ-d3eJQBEA?7+ruPC{g;ZPRM^W#0vhoq}^C8rURzmH*8(%d@jV_C$JJ#YN
zob7=V?E0wimq>fRGKcmK(s?JrG)1>@7>oiVoQQ`rPsGLPwEQZDMR6gXSe6YBMH#71
z25=53eSh3q-zWb1N|VAXKSl!lXX$zgj*DoZy7G3m-te#8iNE$F{<=f_wLWaA#@mTz
zd-0da;{S-G{bTy^r}X3V^y4q+$6w*cY#rbhabUf2LJiKXAMG?6b)0+nO1^v~418ND
zsQwm|?YhR-HB@&d^!&0udj5CP>1FxZb(+V0<jAj}5a|pYCC-C6QfmcMIJ3<=fpeJa
zMV=oXtk*GZMAV-2IEz61zmQt*5^7zBO)O!xaUaEQh1iv==TPjH!)4TTk!F1qNX)>=
z6g${@OpZL^wQu;ZrNg_04wptg<+kLX>|^4m>}29U$;+4=#vP>ZJL$(=^kX0WxCcLG
z^A#Hp2SFn)4v&mErTc>*@?XGySI6t`R4<EiSqeNBDZi&0kYkP-^mEdWkdhyzAFrk#
zkKxB`>b~(&d~<aM1#eWR?^k!yUf?ii8*`V^z7Lvq+Be55vkspQv7{1?ihP0t2^o%F
z<C>BP7yMqlv<rUwlM&BO?*Xj!A^4i4xM`%>^k;ZLn8MX4(ZuO!;I})?)V!(k+IR)<
zO~AP`ZnN{oJVhc^q*egM9)L=KuhQm3Z?OJWZBF!zAaM!P1jz-zL}fto5zjr}XDwnz
z#irK+<E<7~n6_Gcmo*!jroYpbgzRYF#$e5Nk|6)!6vdZ5?({q%E{YTLg7B)lQq(yb
zSeEi9Q(d5I`7VR{F>6(11$8)Aj$}c_uDJ9L{6`nxMY3SQBa}r!-EarRN3HqPQ2%9D
z5}8qVPm~_?TR4j(gxu)ix*N@H7{)JI%a#?!O*tH;RW3vjPDI{Ufy;0T?H8^2(ct=m
zAko(y&ihVkJ|%j>pQ7Co0*OMphnbr&0;`4xH0)qQnm9<BIb$4%GZg@npImOukOsjL
zR}!+vEOaFy!y-0>iwcVd<gM47>`XOggp2k?u##H%(jK#^+-t3qtetgj4#~F0j98cq
zIa18TaOUtm)~skoa<?l9X(R)JXB%I$tPG@K+U8+w=M{_3soH=nFEE5fYoW73m<umo
z)`!fx<XQpMaKf-}&7216Yh6iX2Gx12+;G3&X|>9J%{xM;@YV#7$&P1k!pL2)mMklB
z8*`H(XZb+kOu@=<Jn(bY>}XiMNszd71Lcn6k9bJq)e+s%f!_5R-wRX5l@nBhgP9xd
zMHB&F5*3U07^)9g>n1ByJ95<y4hK?X5ceI1B2XCzE;wWnRQOE8><?HosR8(Xt|Vk<
zd!H)_In1&d&BHM3KtgiClVArDQWsCT#-3pg<n5O>2QqYq7Vs$N5v}X-G7-`sXHm^Y
zcja=DE76-OQ*pxMtJc_?y9vpiN_d2(Dywq8Z2euDwg0Ukap~OE>M&P08m*cp5*^x8
zc0Fr$%}+G1>9o5hN14*<47R9-tGJqyS6Y9$rsQR=BxE;Q>`Fp*W`_ErI`jW>HMp=d
zzvI$&=6jCd`XSm|Ps1QiT_5+y%VIs|3|;TcQ-ydv7-f-(jSk5U{&d{IAGAio+`&l~
zsSYkix5^t$8O@{C->O;RAwj~vt2@VrTMy$@S5z2@DH)vt#_HFqY-VZ4{l8=_d`6Xb
zugVpfM=?oD@)*Y&mzyGuz?vrwkn!08ng1g}4k$+s(xDALmU<Z-x}B4-!pW4i0t!&V
zd*F-ZR-qZ-exCvka8GoI?nTmKVBc!3#H_#`Q16w9WfdsXEuJJR&a7lvMYI`-niry~
z*qhLQ-kNa@{WrUkkb}arY(Vp!_Fe~9iP>!%9aT8a!$(syb5jEb^hd0P$_nUuY_o{C
zqA5Y6IH6?S&_zwBs(;X$9Sx=*bR{u(n2wxppzww3_Rsm%PC7xl&d`8i`dw?GvcrU9
zKO(MhGK}CV(VGnU=}%j;qrvoBt|SHy(>C;`IPf@(9T?3rPX45#o1>kYC<;mSt}HJw
zjQ`tO=&Ug2sJBI2<HU2xb$qsGs`nYvng3$Vo(Ahbx{??;tQ$`R0oP+<%oGC*29q0-
zV`QH;4BmCO&CjGpizB-ma#P?<jB1iKxk5p{(vYXT+L|8?tu3x329DOfNdBWXh4wy?
ze`->B7N!NXmzhEzsivLrZZ%383V>1Vki0j!d(qU`0uEWLD{J??msTEFUYySn%NvJ3
zQr>v0n-G_5Mu?m6*oH*ueb%gN#&W=w#K4VZ)oIv8eaeH)pj0~Lozo8)%96D(S)s(O
z27;SB5Ea}cpfTKt7Fe^QK{M`3V&Kqhp)=77^=31ua@;c!j-g4%+rJsZ^)_n(v%<Ai
zToj^k7>}1p2W+_g>aEsHX}~@2N+J!MLzYM;ns{F8Ktggc<~r_6E;!wBQC!@2F<jv6
z)OTLmbk_!vyN1US;~E_&PgUD$g0=G2IF0ogYf~|I0g^G5#tO|+=BYnr{au=6{|`Z;
zZ}MvXb0wP|#CE+Vs<v^pO}REvZzAze1>CASyZsumm-z>4u`{Z;yBWuIMBL?7?ljeZ
z#hM3A^<Q!&A-nSz8NK;VRNNdd){I~c8ry~_raOu~mL9e-;4ng5y|DYX-FuRlWqpY;
z+;sc=MCn>L>2Cl3%lj5ExvDDNkfb~5PP#h}^2Si42<ebMX~+u<(WJ=(@**)EULv&B
zRj0eFQe9QlqtlI|A`&`U0!j%HuQ;QQ<6|5d91#Qo@iC&G&+!2wK46r4olpI)qj()I
zaR0T}KIhb_U6q`@(+B69o9|1Xy-%I9&RXkV`@Q#CQE^rbMbwJ9+*<?S9==tXdrNSy
zU^-WuCk4}4rX)hg)C<Ih)$H0CjoKd>qmA0a1TAM(QQDXr1&i~vzpY@g&Xh!8ER1LH
zr`2mj%I;lO|25kD2UY*{D8&e&MoiKBRoWj_^nQgP(XdIG@GXt4J2R0&X?Qr6AM@8p
z)jzOG->NNLP?gR=%V9ZOC|Z59_IDMnj+v71ta-$ggxC3FY)`85$8DAY36Bfzv>1@^
zbny+-#+SH27xebybwMY-*VJ;*J@H)KQA!<i`<-9W2DiRxlVB(6cYaCxTZ%b9Y)Zm|
z@IgUh!mE?DIIY85QZN{{N9d3Odoe=ypC=|S%_M0P7#%>w`uDy<I_s}@j3{sg^=oal
z1VpjCE-JR#SjDX6$c2SE@+SokKRl^fa^<3hpe)Iy)MU?UGpIoS3sVxc&>K_$vh-Gt
zS9%*-lyP(4Lz{CDa${q}i3lauDX{B_CrJr~uE-wvjUhi$Jj`^1>Z;wf)W_UXKX=W<
zbfZZjCo1)`w7;c5-zG>j>>5mby*Ym$N~+_cU?7=?XL#C}<S(y{9^xXoMqBLqMN&~Q
zMw?m59hEo1oh7(aN?o@$4~pu$Oi6g9ZY85P(WA||&YrbMBY^5Y!RTD3Emlx;PK`Qy
z*NzKKuQme;H2Y0SgbvNZJy>$4W2j>0Yb!QGmoWI>6YKXEpvI3eNY`l#7!;&M@aM@K
ziZvM8>P#G_!J$%!4r_CvAXPLa5js-y0nRWQ@HkK3!&N{gW2bA@SQ<UVDBZ0sTu_u2
zAlO(Hcb3bYg3$-Gc~CGqW=bM-jM}!c|IQs^($imrYJOux9@7>jC?f4ZgnAtoPr#~$
z<q_>qD?mJCN+NV1raKe*ehj?Zto~nX3lLQOEj&j_i=avocvkzXispY|N+NX4FWY9v
z$n^nQ6j&aG>`kHmE<`$u*f)TxYs6mZ$0W!Lj8^N~kh;R<GolHHYbr06!!>*=N~Tp5
zr)hJepg7f(MCd5G6P49-5w+8otF_q=T6&H%eYr~eql(%)O-Y2V_E`sDhIE9c?pc|#
z`ZE`d1KI)w1!6YbiwchD7@2TUqZWjH+Fw@?*<(r~bVM3V%ayC{GX^8tA_T>t6-|lb
z3{h&%TOclIe^ya`&Xh#x%3tCXheBx(ZbE2ErG9YJ@^PPJfbP;3Gbli(xrL;PPchE7
z;8jY2>`rY)6v!&3BtnO*%@=&Y-_qCo#;`oBElN;W+OZS2D!hOS#Dm(OR)DzQltk!2
z>^Ydt(M%&YERxew?8LxSB>dL%r~nZaJxA~u`fEA0pIFjt2G3|KGN>8si57(>Fc&T~
zfn6WitO>98a(sl%4=3Xh|L59_D@OEFQxc&Yk!JV;UuRMCT{eT}bzyb!PdfC$6m8ZN
zpeLD<2pwoQwt*AS$6s@+KQmlsYYP;#)CLKCutNLm3L<Bkk_a7<uI;1n!98rlJ0v?a
z#}WE$8m9}fdo7z8#O*x!eZX$~gk2NWNAFce@)B)D1Vyq7(J!SWmUPW7B(WSpuv+N}
zA`$XBxVyC(Q$W7hltkztZ)DFt+!Eo)V1^G;BkHq_GcjUH-ib-#6wC;%QD2(e=P#fq
zLx>F^udSq@2Cz|j0+Lc%SsCeCN-3uGYvY{If^{ibXLUNO&8A`wX;TuRn?sMeIpFk7
zHdCzGWIF-$*f{RcR#{Nv*kW!RbP5>~D>cUL+RQ2@a+@iM&`qRHL_J@xtIqEX;TN<;
z3JPJMh<l&c{=5RpKbw*W9TdNpSsxz$pBRdtX$uk*iW3E+d`kPv3JOn{k_a7z?L9lY
z_wEsmCOMi!M+sAwd|GiVTf&s;7~<-UAh@0#%O@h8bb|5l5E|2j*rWp|+;%Lpxn^-<
zf@m`Clh=nexY-(wC9UDKXi9~XO;2_UvSadg3=#T9Y)i;49wX7MM3&Aij#(tST9LkN
z3iWT@-An)1ltk#(vgmTc9up$99jwj%p4D-lV^q%y4b??a0TQMvYP&}&R#9y(l#(4W
zB@sSW2gh>kQKJ^D8mt;W$5`#s7BOheyEs}T9%-A`iNU%^n+*l5ZKfnb2W#Q>LIJC$
zh-MJM?poK0)ZRUQtQtSYP-V0Q3<}kvsO@kF2bavDz%8v7t3%pcC`b*Nk_a8CGkY?T
z>M%sz!^sSe?qA0njL3}zwBtuD*ei_Sd$k1*is15SEMrx3ZdG$mtM`I)357S8aH}>)
z3Yuk85}~8Hq9?M0VnI^b!zS2R4r+iyM)JH!v0U9rem|gr-(pPf(-uD{rk&B4HQ@1Y
zIsDUhcH$qM7G9)K3+ZRInNncA$CO0qu+DS(DY3|4Hk*hHXA^e1rjOF#8HVg9+M)%8
zY@XXciCM&(C3sWu`LQ+!3O+wDB@sG4E9&AC*$ThThwVrLAqz8hBw4IMEbv>5;Y-@$
z2gUHLx){QhTLuf*a4k&iTgjpd>I>Q|DWLuzQxc(rdPZ+{pm-ReE5&FsW80Wx#|kP&
zRcZE~QM2tf!1D~`vJGJk0hb}V0`n|}cg(Zp=UF1)HHfEcv!j4`nkk9UL97!U*f%v(
z=XVBahqg#TOIxt$!P=i!K-pqSB6Lt1#s&64)9@(<D5Wi4P=Iuz2WvB-z?3j05jsrE
z$cG0iJKBqQpewR<)haA7aKLA5>fKdJCu9D8WRMpayj!$|4hr7s!nX%=ZRM@F#T;AM
z(3=t*EA`*Iw0Ti595*EqI)-O9#IQ>^=!!+`V%(2nuvZwzd$k1*iesb!j^xKHW)ag0
zke|_JMgj64Oi6?e<QBM7LwFv0G&Y=b+zy{ae6^D&#|H2tZG{CjfF2qC$B|g{X!N46
zDHigt+T1D@@?BFBp<9Sy0H^=d7APo!bpkjki2Pam>k1-&G$j!_B6Idq*cHS#qm7sQ
zMa${0YU@3~<!b49VT}>yMzM=uaD{<^m1C|HT$X5mU%_ReDT%<i7@ySdaJ|p&#|mJq
zW+12h%8*>BEl<#bGRyNgn`3?yJT_~8T)|_LAn}Tv%I{2VYl5eN<-Mq{5e}VBg2nRK
zt2T%;#v)+4m?XlUHtJgXi$uV87?L=P^dUHFS$RX{`buYN3w?Jcb`>2;7OgbCnyI9E
zaPR60v*iEDH{S67#2+|hs`k%-rPMw6Q{K^iX#pnyyN8ETh-q$Tx*e};-Etkv+0@mY
z$i}<nN$g7~0(3Wd30S*sbuu@W>93^j1+`uGKGQbICp#&6Xj!!&L(8fk(D9xT)Lz#_
z3j$b+fyLfE2Uwo{!xldPi=Z%7C@2>FMpM;#3(HrVlJIJn*Ruspw6lXN4`w4cc?*-r
z3K-2?Z;WJ0ak9rqe=;LZci9;`KL{6Xt0NcYllA}}#rj18KKHNza2PJ_<Z1lc$Ni-x
z#P6^X-KDMKphk2Bw&YvT5v(Vc=GlFzB1_6_IV!UHNke#$HAI^SSwo^vSo^d(Ft}4&
z2&M9@n34$H)aLHX55_Xd>!>OvlOt>M8%f<K7~Y4q#R>}VsnM*<mw;LDrPKlsYBQif
zbH6Ex(4kr0<7_XA^=C^(+1_RBQXaKJ#x5St<_{HW76k&n!|*+$EqYM+XmvGViLEDs
zcUh$~@0P>6TGW27&5?rVPfbbG;;Ga0NiIC+bKF}pAmMQlk|Ujt9_c~H@k3bM_?MMm
z*;3}5AJ%wc7OmNm%caJC5j(U$t{BBkQxc)W@tVtr#v*&ThkL;72w`jCp;%;J9!)(Q
zRz}dr!*YD@wIwVkv6mf0z)q&eYIYi)BrS$|gSM)IRtlT2PB>Pl(+5#8zsjOgr<-hn
zMHLM+i>lTYYqc3w%;FqV5}}*L@+w<!b}e*8==5PM&k-_X$>ExTXTWzD=GSYB9u(%~
zILhpH=pEjzD%LH*x&*^pNW5H|BL&ZcrX)hgvojE$k)1pJeXroJF{*FTRzOfxI|HF=
zC6j7FeUmm*3b3Q5Bti#v`gS>`?g!4h&A@zETY#XzwBT$UPwK0h|B&`q70v$-Qxc(T
zzVjj);Grul=ZD0k5Vwx<PAolW_vdSdGr?bD<i4h@fS|~&j1IB{PMgRQh(=FNjW`l0
zmF1VUxl)jQ)RaW%$X;;3KAeX~Qw&MT_31#eDAL%B7`GE}G#H5iW(RhuBJvWY?lnCr
zN{s(+wAB<8|4pb;rJN#Mn3R+Dp0b<>O@QF*ep6_?Gxa%bMirCzH&YU!o5aqOFo`Z~
zc!bd;>|!ig>+Em>>9V=BzdEdu($14H7tE~YX)hkDK&eh<XmhRD&U8}}q1(=DWkbP}
zTqjwhoGdZ6k~P}O3R<abb{Z8S?L^co-P*h=w$Wuu;{Qk6xJ+AFL2YAdG?_S8?IreV
ze^3E<zbT2(0baB(SEK_e&ir;RmX8f1sCI2+!Q(u~MfN&v5re|AI4aMf(5e?LX;ks3
z)YONy*-*eLnvw_|th4uF1%elM$?+#u)s5D@{KGAs7a7jGwUrPQ&Q(#uP)H#hfkFy|
zj})tS%F>it7(bxRmxAvxQxc)$yP{!XJYF9y@LP=RW7^^eMRrBwf_j4f)g#(GDX2bV
zN+NVrEySy^^Kg_$UeL(BBG!JKLxCr%b~WE+gnzBAil7Lu#<o$PEMhROQ9VDa&6)!A
zFHA}N_XE0hV_1VJ>I$t<Yu{<wA5`F*YDyw>_*V9kOAF}<Ozh$t6-9Lf&b86nB2=~9
zUsbcNpz$7;&(+#02wFbR#tEfi+wlR$GKeC|GElf}R|biUx4^JUn=J+0PE!)0gR5DQ
z`WAgP-(`>wXsaS9$W%7hs%3MZ_6HUC_L!0g9lq$k!x^~WN?^7VMX~<EufNM1=naNy
zL|g2jP@Ngg9?rmtRzk#xXt0W_LRrveNP#kEN+NV9SN0@$hh9DpD4hjRQPURlF}O#-
zw06P9cAlIcP>uH(*1NP-5ERz4qcI_aWs?l3VENd*sA(M;5GNP@^>Qk>cWSexfLk#o
z5hA#9Q}Wb<7?k>f<6Df$!-Dfv*L44u;^sGC(f*n>{>{YB&FZ??*?s#pQw>~zFN>YS
zsq3&2ig*1^{?M6n*RNzxY_D#K43si)HLP~k{c4$X_A&*vv$;_k978qM8p~xyT7%ba
zKWM58Z>#V9rX>FA2KA>2GN>0#HBir>)||Rr8kA&D&!G6FFbs;i4t3n+|G`vv&w_q$
zO5(3>L0uQnAnN3+q;-N$EVUa)2I#EBUOpGGk1wy|OD|t86&G2O>sio;m!BmqNV2DA
zLHtr!7PMY%)K;1b?^)1UrX>FA78IW#3p!+~fqE7+dDaT&C=0WvXF)7e2p06dB@a##
z|H@PuZBR|=jiy@gOzCP<5`T45x{I+o>Hg7&O*K%@l-_=Er!*zWo}MZ3OCgw&u%Po)
z3%b)(c+Y|=rX>FA7WBOdvY;nTHBirjo>{X}T99N<&w}`+uq^0&)q=ilD!gYw-!vr=
zq6P6G&GkFvhB5fh+K!FnB8)a-u=kQPUopS3jgC^nfdwC_!!c{j`TNIohBSD<G<{Q8
z)7BfJ&L%N9*Mg%yAsacK6wZ3Za$|yIa~B*jMM|<MW2z=?7L`HzWK$BM8^ClLqtm36
zA5-r(!_=iMK+th5B6rfbmN-x}zf$|FissKUB@w#jyLxkJS@`HM;Wly_3Fid|op~=>
z89az6Y;}$q>b=Sc?$=gCPz0@L!I8v0en<`v+}STW--bih@PADQCKZ(TYICNbyvvkC
z=qR^rAGP!GB+eN73s}{C#;2$)LQs5KvFqL8K~es-+MiXFpD`s7y7JdJ%8#6j2y8ZQ
zjV|RPBe8rkTPjFLArU(>l0=Xn;XB!nk_iEZ^O&|$g2K7Rh0{8hCYEWxHzt=YDU|dx
zf)m|ULMgDnPn$gj_V=2S2p#qdT-eua!~y?9w2A<?{5bEAg(Iqi!~z4>KhxQ~SYfF4
zo=`o*Ts|pEYzPl&t0|}<T;LhP8l2K6F)8{$-lBCT5>u=}xMH5bNyG!%d@2@kpDBsZ
zE#e&4BG#fJpw^1*fTA=~6H9Ha(_GbQZ}nei?0=!Hkf7L~<6*zn63s6oPR%a0w4%wC
zJ&6X*?$g@LDS-dPlteAyI>R~1g?E0uO$28*AmMS*Y8v02xWI(*rm0vz`YOV3RQbli
z@|1Lk)5ztCu~VfTm&096WbOKma6z6Ou37?D&PKx<`GI6&kR9vpfv*$f-4mz2wl4M0
zZWNJ4uknw`?!zze>T^F|zQC7<`0}v0)HhqwO1U+bi4SG-8SEsk3@wx3{Qz%q5t*<3
zElJ`#E{VB<L__s=rY2nfv-hWC*t<vD56E#4knpLpT<3R|_Izz=18TMmSGUBI7}gR`
z7I;#Wy<YqCin7-nU)c?Ho%$~Ds#`jK*ysl_FSO8!N$o~0<c*UX{Tgrl7%TotZOMZw
zej$z;ame->4psGErp<(+{$5iOkGsWXzbT2YxFpyJyc+k!6@(PT<Dy$|G2!NN@T6Qs
zbip-L&PJS~0jgHh<Vb?blHb(A`2?HkQEhC3n(2X)aVP<QP^1<FjK~gKq!tlvT{Z9{
z+UzR^exoUg&`qn8X3Cs-M6UcDPaF~9i6bICarn(8_-kwepVn4DP!m`wX4+f{L{s5N
z;P)k>BKt{gt`ubd-jqb>$j;|E&_c00oh<;_x?6o3J;bPePg}U4s4bB5qbPL5owE1G
z>q>oFn+FA>Z<>+_9V5+sx4u!l=DUpOpR`pG6j8&26CTii&}K~m`uC<J{`&#F=(Qn@
zcEpmjdxq45Z@%^i75L_wk_a6>jRO$AGOF<&m(SN|s~~9kG&nfnfxA(gEd|{3Oi6?e
z?o4VZcg5n_{v-mJ`tbAr#1O@_1qljKn`jhM4kuED9tziJe_27{DpL}nqcDG)ollNn
z7(8MZx|}ctk#qfcG<t}Uxk+2NpvcUR!m+Ny9nKgDcS}~CTJY`KEGQ7Y)s#f&5Mgys
z2p(DEN2TgM1MvxM5rP6itA4C}_w1fmK0c=XSw;CDF(vWJDSvGP<*%)<^1r1mg1++I
z!&#p4zoGqEMfv|?O5&AM{<;RrUniCSzqLisSH8Qw-BbSWv_GpT|KCkXgs%LR)IL*i
zaXA%{h=@Z;VtFfBEWoXkQ#Jd+(Rhzb&b-ZG^_kBWEj!5|9h)ZHgH;IxMl8TDlPiNn
z#shbbHd_j~9i}8g2Y3Fy;t+h+%QMM&yKZE}Mh`J;uhteWXqj6O%@TLcX=9H&1)~kx
zJSZ5gH6;-`Mho0%Cl^!r4HQIdn9L_f{l%@}Q;gEp+TsO8X`vVWWQh60z5&6X0@LfY
znNVQ5+>}J<FlkN*`35?g?=qw}XsaS9q(0{iUQPHG?GGyOy~&hB=<qFbde^9C?2%Xo
z>or)3Mg4=pkh9Uvhgpyp7^uI~7CI<UQMW(taP4|L^0-!t;fJ;PQE>c_DT&Z=40J5t
z2V|f(7|F-A#SV(3)<J%+NPbP5AqC1Wo013}N{s{gK0r0zV_1Kyt%9Ji8XV;J!2OLj
zTMD?(nUV+{T)pk)K793FWr$~Q32Sg+wo~0hxm}wx1?3s0Btl17EL6v{6h;n5e}sRP
z!^z?hyhn2gGTt$X4afe@Z1C3@-SyfE2wH%7ecO?MJ*|)g@Cz-2sEJLnB!Ps*Lw1ce
zR|>M-rX)f~_RPICd!WS@QL*1O;vU`bqZ;fLM)XQ;!Gj{Y904@_+nPPjdDkm#epk`F
zOq(MG&0bRyp`!^u?TJ#H_N`Nomx44?B)b7j?jVu~Lf#-bfJ7oY><@x6lC%%|K|U!;
zjQ#c6Y6^<|1=v@|atg=HEGHe`lX6m0%IOQ3BE(e6_jTHQDi(3rltkzjF@HbyXOSa(
zOgX?T=%j-<Y2|B)8$HB0{;jrfL2+CVg_}8#JNJZ`T59js=0U;e1EwTG$LLi%<gTI^
z4j+usLBC!;b%J<Rh@9$!>IBa+Vqeu3H7H_Bqs|T}!7Cl*s~2C?Ydjy*W<>$+5mOSO
z12<<c1w`=Kupg~@4=_akOIxU*5FxTO#VGJ|rBr&q*8aYN%d@5=LdWHd9eHeJv@^x@
z7|n?%B852271f_(yfp_d13b^Dwe^HG{8$!6gC%*Uneqh6mEhUk)K^ez#a3;06cDGG
zk_a8d)18?-bXw?e9^4KfNO;}_(_hj~_%s7}uC};Ai(SN>!$aqTPT9egfZ*2wQiX4|
zHZux*t4v9R4qwM!v<-V>qiD;79sA)@er0$r)fOixJP7U%euiVCjo~<;{c#13eWoNr
zhvU@;arDm_80^IoYC*=qOhmS`gH3O9GYu2AioyOU`XheePJ#|YJf^Lppb&42(g+YT
zia`M_6BlaNiM=h-G(_O(03oA9((AX3XtSvpL&20p=*F;9?YB64#jtA(0g<gl5+~jZ
z@IsHcaB{B@e!!S=M?RK01n)0(_rXsfT{e~vYO64)v0PlIm*i|oD_AuuaDEVmH6S$L
zHp^<YewQ}Wis{^GN+NXAS$r@HJ4j{@MMOaAE*S(Fp;l_<{*Lz`gZm|IA%lXun1b31
zE-en5&5@A>lS)Z{Sep$6t_Mv?gbr7mDCt5Ks2KfKdChMO%CEFV2?|O(mpGRf1&C*~
zKdk`qb5jzb1JT}FOs3OZbQC0Ne`F|HE(~k1(Gf*EnND*NA#M~bnzg^JU@^s%MCe%T
zxO@obI1^b+h{iEU#HKL}4Lb{^eoTAAk+YmV6?^4IV(F4ySjijbupef~#-Aj5wCS<U
z{?as2L>YTaTX{i?;Wixh#BoiM-g2c!(0EsPxAz3EF(kYtHr)ATR}JQDZH5(tSz$^d
zbc30<qm&2qdF<HABy**@yXzV}!*IS%TeP5X&c}qD;0<G&YTlF*eTg;;3P8I}NrVni
z`{nsqE=MI7-dkz|0@VJ<kd(BA2?|L^^swXxn^LP>`+I|ny!N*hEV8B~LdW8qJ&LCh
zS}^X4i11c%J6DVhVP=Hq<C6J8O}|n9b;k4k+6oDZ=Q&aEikWzvbjK<h)={!DRELOh
zMFLrlK$hres<q=C+RQ0{-)>4GbihwPh;iYC*+Ma!i44JY8Wls~NlOkK{q5ulpJq6}
zs4Z?#I3r>gdB5P-lKirRB!^$6?)-u_GYWj4Hzg4|eDg1^!i)#`s?X0x4>4H3)D|u%
zSo5PkgwP24+<|&k>d&-UP#}8Bltkzdb?$}7-Fy;rF|?UAjW}Zzz5U=&DPKs$#=0Us
zrNI*Xk*uvb=NJ4nhOudDSObnuY}Q~2#Ku-B0eYG&ffW-1SP(!ddy}=9Qh<H=zbvrp
z0jxWu;06-wb{zkaW?_Q_urj2<kgwF%ZqSmufgpEf!$L9ecV(m5*P!l2&eCR4F@UHk
ziO@@S`vJR<Oq5Wv#VowPsjU5xA=|4hOi;)=u&su<;d51LVceztZ3T;qOi6@}#f;u0
zZE%dlV}%-z*S=pEg=@9N2#UhYsN9h#_)zM@jP{2W2o9N&2ps~nX*RZ$W(G0F&chWi
z<{z+kjn-+hg`^r{>%@;USntyoI4D?Wh|Z+LG0&J_7g{yP3WD#|=0-vAR#Ot8Be+-{
z{q4_Z`_uMt&7O<nJ;<m%pe<xj)Rxp4(P0}JbE)8UpEe%~UY|835jtM;cO*xh8BfQI
zl||o14>3+pYYP_?rv(VpK-`Hb$!hKtjDDicgM!hIO-Y1~(Yy;|g=8Gws<Go9okH}g
zBE6Sw^Y;}RJi`c`vMsER{rqS@@kU2Qhp1Br-mJn%LhU)cWU5`ym+K3rBti#hDK%Sw
zq$?7O?7*2rctHeSJ?TOC5HAi5`;j`)!wlK-&>&mNP1Z;PXCDR}X04dZtWvg?X|tk~
zt<z0Ogbv-T?eT0TJ3NMCAlKC?R_f0T&rWTDg4TJnqv$=j9MvyOJG8&9AhOkzMCgdj
z-ip~`_Mus~rmOQiV=}BQQcz6hL}^Bh9Vj=f;ZoY4S3nswB@sF(OD@Uc;Fs7;K^0wO
zYb+hFzYccXCmE>sXp0#XsMDeu@F_QapdGTXQtR=l)NHqCGonEDE>jYrL$<=3TM`F<
zWMN{5FBs@z6`Mv>HQn;SZ!wgg(-uD{lw!(I&L0)3x)vgQ0S(k${uNm7)n-b8^)sd<
zLWi~8*%l3W74IRnKQc&9Y6}w-qz-q}Gdh68je^CGw7;!j@vo*NLdW9Fs<=T^ycm)Q
z0xR^}IL0$#=Zkj2-}?*p3gh;ow%|c=TOO?n4n!>)!)IaJT)&OETFJSB=6`B)q@ej{
zQxc)0x!&33fvJETpi80`(utZTo5xOm_9H^a=VI6sJBFBD@Bxo0?UjCb4QVjmXKW8^
zn6}Q{CF03uxuUVRZv+Q&M1vo9h^7|irP>TC@GmhX5jy;fUH?p5vlK52u}Pc~?Z^0d
z4>FM3wS^2?aF=*qn&K{(vh=EWU8v26g4bqK5~1U@4*N;+*{b8tRj^@y2~IHN9am%S
zcJ-Rhju{EYIH|3epct=@VzJDTOw6cMK@G{U0`5xYZbPqgI&46jLk0b~DT&b0KjS!P
z*XtPtc%E^6x3<VZab1Q{q*JkoUTigvjrvdT)MiHk@n%yJp@X=(x{Nx9pv3@X8x|r5
zGu=B7S%kJa)I(JFWrp{kw3QJQ-fqCFmP-LN<_;i@HNes|tgio2n>PjPPnnVk9qYwa
z1(xBA$dOD<rF^^x8N(lH3mFu{CDlcgi==b*r%na?eQiDzyuM>fB6PgwRF}<q<*(iY
zjL%=Rg$jz#TwfVufYff!^V;86aQP2Y5~1U=RK+DCd@=2(<Hj{*=|m4RUa#5_*0|&J
zI(S*a?^2Grm5TTF@h#ToMZs=?DT&ar+i-mBM9W9>2**8SX-b5#?$K6G(6V{n39uF|
zA<Z?M@Brm&wRu!*-~v+;q1(Wk1NLF83OZ}<RjndQL^rl~sy5;uewq+q>}_qO1jT+W
zc8*D@>J3=3dEc0&QN7)-&7XpMpDBsZaX%FsV??xRQCU+dSJv?BKf>4@)fOx$cJpX6
zjPRr;DrPF7byx6@Xmg;TbE7GV(9xOW9SOt<B0BL_bG)zK1B}e4wS@|b%$%yDdN@f$
zT&bO%PilW&f#vT_NrVVXXG(;4ZR^2I&Oj1Vu5jfO@mGX3zcCu$6SAbbru!nwmY2Sv
zKbuYz#)ffu(-qhIbJrZKIN_MZM^E%{wL>mMa^BU1fW=Rm>Tne}P2Gb~(d8Z8mlo`N
zp?i2J1>XyHru(2Bi{q&MVE0~ewS_w{$|th%?mc`8fYxOT-4uy*?fTWp+*qc+lDZev
zb}cKNFT*IaN^~N!1~t&mDB3KXc@pqgo`$Vaf2NL8&2O9P%i9n1O;Zvfnk`%H;;OjX
zJ-xmA8pYKvAMZi7tEm@-)i+-f%~SMm(Je#V)<U-Ge4AR$oTAN#Qq8>dUly-U5jD%{
zlF6v(UM%#;_G?S^*2;sw##nZ0>o9mh6roQbf#`lQuvNzu-N3FYu*<cXQh;4%N+R@v
zxD;yyeC)&lmrEwjIh4}H+QIS(9%c~tXbT$@#M5cs-{sZ^By%ej?+uoBYV)FCx5Jb~
z=-8bqT$i{isaF8&Kf*ZWv;_-_(>!)$Qp=fw&agHI3OXrM5}~70Q}^wm2BfN)3s_|y
z=QT#LqOE|SD0Xr%LZ`~CZ2_(0RGIJ5W=a9}7E=<n!0L4CBo|+4Mvqf;TIY&LzXl{c
zE@qhq3nnf~{iSk8F&poL2j@O`V##C6MdkWRXX^T?lP2w+mwF3bmZsiHm)WVe(WO0g
z16^8DZ>LK~>PEWEO1*<F&8eH{(waI#m$|8%`L}Vpbfk{*<(+hymwFdnCa21DX-d7D
zE>lyt(4{qXD_vSrx6x&C>OFk(y>w|#-Oe{FblH{KM3>#Aayto8u;c8BTF6jtg#*Z9
zl6HcN{Lr%9r`%LYjdkOVQ+A(nq>}o8OzuAA=1S^OCo>tDUpbj6$h4lrZ|t6mOt+J1
zLgt{8X+~zu$xK7$ZYMMS=1QsDi~&COcavtp#bj{tSqn5L3of4E<YX}PA}6OHdHQPc
zz!bsTe$GtA{Sqgeki3hN%}72Zlk{|{JUu=X%b_7VSAK8`J~(|E=z$s@Ud>7R;C`7D
zUnw~m(!e8}Ay$4Vlj5N{7%hPgv9e1h#r>?4p_l)LGsNUqIY~_ZhLh8f>}U~GrX#tI
zlPySI$;nnE-@?fmNPdKqGm-o{C)<$xEhpQNoYN|ZbsVV@eT@`-Dnvhh9)6!HMBm0q
z5<SUD67UvIl1!iFBys)(CyDbHIZ2!^n=gnF=NEC3I8SquIDZc(iSzq7Nt{2$N#cCc
z0zm<sdq}O7>^6bjE9v(p!R}i)N$h@vlf>><Wm4$<dCm~;OBRY3iT5p>B;IXK67TQi
zB=P<aGAU?$&&d#W&pR11{UwV8$?3xMw>TLxecQ>v^gTJ&NjaJ!$2aJSW+BJ#IZ1My
zx>(#LIbO|4V*MIUg7s2)uC(54u9zH7UMIR8lI%2)z5FZ?m?p@+nUh5JZkZJFe1|ji
zjX!ddzOiV9c#+ieT27LB;+!P)+$58N#(kV2T|FU_;{J<HhIF;MQ;;MJ=;b6?z$hol
z0zSw|vVg}pNfz)NC&_kORtgI3g7#+4_zZcy6n#2G|2%1Fx)A+InH2B6<Yb7a?j_<O
zQp!P2k{-r5NqV@Olca|)bCUG%KRF3KcxY~r-)_OTdrkw{7V+%?PSO|N#Yy_Yr)5%b
z^nE8o98GzZc$L1rTqeasyPOO?^d`;_S09u~@z7&Vh8}v($&hW%Tq?*m3EO-PXGoGh
znG~<T!^zO=pW_T+{bQM=hdhDLlLEIw;7zB4e5(*R#z_+R2q#J4kISU^&Xb%W8DEe|
zalb1fsE}Bf$fUSma5BW#F(*S}J<b`D<aeATe&?Pc=#V*{&q*@6t2qgy^JF+*$}j^m
z+(*C95HdW)Ns?jGGI5t=SSFK#r;D5n@sxHl#M1{kL()CQNfPKeP7<dxqk<%Hx>_a$
z$zCTzBuAYLk^BT_AW*5?8c)M}hVTL>nV$*fk5OruNz8k~y;}a>hTkWjiQn6Va4R@T
z!tLQC33n|giR(K!NnGDAlY+meoec5UzFZI_dCrkZ@lcF2B;1WMDeiyV$<WK+axx^`
zADj$&45f05(;S~8xo-#ehp5p)u?Nw2%cLNBuahC7&vJ(3YMLRQN0$Nj&vr8O&^{+a
zUoJWs>Z`op$xwy;u#=&_%Ck;}`YO|BO48`7q%0@Xg3L9XA!XjkNmAy=IZ4X=7AHw%
zf8Zo(X+fJHNXEK}lVq$hPErkdgp*W5eu|S+Lw=W&R73uWlT<@4ZWqK*DW*1aau$*a
zPR>U1C@1HTow%xYx;`CH^)vK9hfwvj4v{2<c5#wqdmSf9wh>N}Y{z6$X#8=`h*HT(
z5_HxqK@P1El-0u-k~%Jv;{LdkA+R3c4C&)3nG_GroGmDka?a%>lv5>-)1R3IdEQA6
z%o6f^hLa@E4>(EkJTH@i@{&2?=_$ME^Lsc$l3vS6lJpKvl5h`ll7xF&CIywra|M-Y
zg31afLl$=hXGB4E)$jCYW`o^-q6cORc7Mc4V)q4361$O8#RJ6D>nJ$~FBL>WymX9{
z^wJk(l2|IqPX7Qlc8M@M)X6W;!Z@Ia06Trj3@R0D`@&5zs<;}1nh$qj-1SlV^D+AK
zDE)bi{yas0o~A!Pr$4`>KhM&iU(uhJ=+7hze-_c7CG=+<{n<c&&Zj>c>CYzmb1D6~
zoc>%%f3CtGyHK7rkWAZ!zGAj7Z}*py=>*jTf}dM)rBTmqf-x^g9C|ro)yomjUXGae
zawLV9BXPVO$>rrpKrcs<dN~r=%aQC}j+Ef#NE=>`)Z*nxKVFU$<>g3YUXE1f<w%EK
zj+E);NUL6s)a&L-<+j0ewjWv+CQzu{S}D(F+prVWccsS5tq8*uOJdVbF-CZlPl=1m
zjC?j*?Bk^>bfN%Gxw%&?Tvcwbth_-$N2B*k$}<beehlpfd-}5@cE!tIXs5G>k#9;S
zFsMdi20T*0p$7M5FDXyM`cWn}j90``(Iw@MWC4Mrs-8JoZt26)Q#z5iGnK0=<+i?9
zCY#yn-6{2#r)B$7Sc4KKegItVp2QVKX3(ZEY9!G#G(D6>CgnUbJ)UI$MnVw2i;7d;
z6s4%m$-!I)=uW9TC7#QP7n*mHf#Y+jX-N4MlA3{Am!xLW-*Sr(eqVlH4hm>5+Bh+W
zLk;_(1$d%>uADnP`9b7U?c&uA@t4-mE=kQo`e<r4{$7m^khnnVCQ_VFpe8_Qk5)@F
zt#&E{1ZXM)7n;hzg{Crap{Wd9Xet92n##b1rZRA$sSI3bDgzgq%D{!DGH{`(3|wd`
z0~eagz=ftVaG|LTT&PgvLQ@&I&{PI4G?jr1O=aLhQyI9>R0b|Im2ovyYm-wXUT10^
zL`Ic1Z5Vs(QG4K?i{aE^9QUt&sBI`#=<{aG=yjUH85d%Y3#rG2(BnepaUt@!ka%1O
zJTBxN7vhc!X~%`I<3iSPA?mo0bX*8JF60~+VjdMzjte1=3K_?Rh)0ElM}>gnLcZ~m
zE5hX5Sd{>&y+T;`*D2(d(o=$Wzfcr)XL$zB(G1cMkq%HoGg4X2=~%y=7WyksAG9-U
z8mWFzA6iy!E99`8JGwfZ#j#WywL{-Q_>wQcE<t90K07*w65g4L<LPooUpjW(SRXtR
ziwA7{Qf}t=feA?4`B=JAZrUk~uUNUEk{ZN&sUiB4q(3SAxw&$r(tmTMJRKl1FW`L4
za&uU{w((eJ&Aa89dj;t5NJgezk9xj}dUFBZG2=t%V&i5bk~4b6Ly`TlLAx%+u_}r_
zCTm$P&)q*(9D=h+ACuJ8ZKYbugFxtADj&^v4j)KeD_BI1c$Ewz_g2ciP5$OsNx2E5
z0@M~%0Zko*FCsFDa#I|u@sun#qaGcOalJ(5ek&JqT&S4iLd6^xD(1LQF~^09IWAPp
zaiL<43l(!*sF>qI#T*wZ=D1KX$AyYHE>z5Mp<<2;m2b2&)pL!wOGO%Yn|WIR8X}hH
zqRkJypZ?v2Qr?^#1`vfxd4@E~5<G&V1G57?1*+mM%_OhgmW&s<&AGLL`aY2s-3Sbx
zpr>-%HUzmzXJZL^qri`q=fL5`AWb&*3G#iVe3BH^LX~ZwZ0O1}P^<UB$3f8^r9xJo
zF+5f%(hc;bz=6oYRX_GZtfuy{Qf}XyK)sFpR({5*^~=-IJYnGzN7aT-EqB1_(r`92
z9Lpc-gB6Tbj+SRb6gc(i!-qJUMWHgZuRJF~)mI<3lw=R1l!*d6UY=cjw~&j)?aH|S
z(F8<8b2na|%a10qB_f{8pbfV1wf0gDBHDdKJrx_pgB>#2ht{`%BZI*C6sWE}kt_(l
z3S;mUGK$&6DY!eMlu!2+U|Q6^3|&_47_wt1w1a4R<3rgzHCnTsTZMFKu#aMJ;AYEE
zaX8&K46lLcdK00!1L#1|Ie4x;*l*T2YM)X+W}}M$nkuc-3-oL|ZuTYYG^V;>>$v+8
z-JNw9&iM*`I0V^;s5zygUD^G0w0-k4{ZOUo*d~y$<9#`ZDmpp~@sm&}x;o;QLTLcL
zdmst=M?-fF9lNbO7mpC?fV9wen6@53nZQU8wc~;<$40pM5T$Jx({Og>qMj!=P5s@w
zzcX5%mM>-a)|ROsJ#z7lFYYflL-?U=qEen3D;2Xaw?Zi%N0dvPy+udHrtmg>=`3vP
z_2xTl`b59En{?fcn1whKTIhBL)~L`2QN*Z;r#9mW6c54gpWpbz!>K1Jx20!j>EjEZ
zJuCGS<Wf)3pP%B-(bUuUTfQnBw$71!QDs!kSJSksUjCfqYu~?o<?`#_ciAh-*SV4}
zsvUiNwfy<kD<ofME}!$l<1e4{it@Ea@<r9PkFOcu+Wb4o*J&HR^X5;MZhJ-fS}XaY
z_QS{5%r~xYV!k%N{DFJ_<IBH&w1zMAcc``Ty>#jY&u@~#Y@YPQm;Siv7d0<QqYS64
zII>Xd=VNQ$*YCYUvbA8{8NC~RR!0_UD}67`f5+!6`BKx-Z+!IF=1H%lEbApM)OP#W
zTG0F0e96|d@6WmMwhL=z301`#BwN&%@UwMK+jp6*&3`!Xy1)G6oVUG_+B#3NMSU9|
zTMN&B;0Kbem-;^X+^0&lY{81DC**(WZy$}ym!7}jQ|ni?*CLOXsNdv!Y0))*xmn`U
zlsR|dGr!zYUjcR~^>OurlGFut>3ke6*>ceg$>C`iy!PR5zx+4#IefzebLdWhOU9^^
z>1XVnzk5>Z`?o)Q=+8&SYV|EmIySM4p(~M(C(&~fJ=t}VJL>!Tx%<JYYb1BSpL)+X
zJNMLb2Wz07vhStS)_w31`O+W1ctQG$$KF<>YrI4QX8%hMmH%D7^y2rP=<nKI=S$T4
z_Pz9~BiG%;FKuZ~E&9run;xzCl2qOm6RSL*&S-cKrpirTf2wt=b$?fNe`<F6r)%@C
zI_UPNhGNxSsd0=N7Ac)IOcT)*Pl7tj_>nv0eYt#+T;Gl1gPjP>;rQz59?2wDr%Jgo
z^fgy=7to@Z+^bTBEc*HLs~=6pMq-6{KA9_u@xy3Q^t~_@B}NwAg^|Hkqr(`nv~WI$
zC`RR0PN#A<GHo=z=%(R70wWdtDDpH3H0oq9C4}(>K5!~Va?~lsut4-)i_|?A6L?~m
z7Y~v8+=1V`>bvAEB~#4iX+EL6r1}>cM<p;msQP^l&b?uRpf6s)f2p~n<<t7J*+YFe
lc`<B5g9UgQLA>s&-)GYRCQrjEc)_IsMy@jSiBkXS{|9B`p@jed

literal 244388
zcmd?S37lNVRWEE?`)C{OlGkgsZH;X8$dW9_maW*M)wWhNvYo_sCU?5;Oy5>dce@vj
z#*WE~Z6)nEO9zs$e5`>$LPFprf$#-hSi=$sgoN-2gqO$mfCR|<0(`s|-v89O_tw3)
zs%LJMrUgIjU!s}mTle%i=YQ(dsZ*z_UcczwS6y-C74%<cZL?nTs~3j7>UqCWt4?{<
zR<|>FpzT+RhhrbTtGoRT-DkQ(ods^a-aXkFDAo$ChUXRiMz{0O&WD>`qq%dcRQ9S(
zue$TB=N3S9a_0&0(>w0DjVk?(w{{-)3axg-J6UUa&7EW8^i4a519Hu7XK}Mp5LEBB
zrV1j3T6Myo>~>ZL;)Q=NKFALud6w1AdyR%)^qNAvr4_e2*>)#A$hfLLGfDbrjx}2|
z6^~dGy6ScYO0B8NSgYhs;nOwz>DYL!b}syEt!yw>tGE1GmC3JeLKB73*tpvmYk3!-
z>UE>y6Q@=3n+}l}9v<#?R#n_~mD;sit?=EoRcK6niC=AbjS07aFJDrqxXq?tfTZJo
zwdgfU?eVd8qtflHFST0r=DwXfr)K!caIFD_tSYzbGk85}cSX0e2$GC@-HV-Ng<8es
z_e)#bofUPrRT^v6#(++<TiV)L)$r=Irr)YHX821U4!@*Oo2u7KGvK5-Jn6SUeb}#M
zhM%;xli0s7Ous^>u`e2LxKIVOKjk*TI8-)St4&tCF}LbgW?J~hF~3OMt$;!s?pW15
z5A}9C`%l-Vy@pqG#%G*+U8mIWCiZU)`3<xn6b`*?efdMI7UuvUxOb=f@@`0Oq6W1$
zi2h)yHsy`gVH{(A6>2GTpYLpFH@&eqvjQ-vay>mj_h|783?x2ZL!bN2X4`89=yor*
zI~#?)G;8ff!K?Vyb7Rf+#Dsr=zIAc6Jw>Mcd}njrt$LN_m|HB8v9+3zwmw#9Hi>Mr
zU9UI1W^-(syIQmR1VoscX|~X}rd%He=!SOdx5%1r9jVtVKJ;_QZMn_}DYFS1bgM-t
z=(bMSZ=rm*-73|f)%7Q8jh0t+9w_5yDgTh@@LjT;`b@*0EWxA~?!JBZE_@_ps?;WH
z-Of__F<h_000+Gbg-W|fiflo#;OhyvmG!sYI_%eHs^epYl2<rauffLQ43-Ta8XX&j
zy@B6lXG`s=@#b)G9PF^)=z5)N0XnF-=#I6*SV(&c8iv1tVpa$)CfxHrT!63=@xi#;
z^r)La!K-1r+|2_gL2hoKG*hpkTR<ZqG5}OPGDCO?LW?k*YFAq5357A>GwwC$+n(=i
zB!!Q8Rd*crNt{)iqVJQ4%h9=N)v*Z=WZ*)IwMxZpOreLN7Zc|G#0(H?w#S>G+a{j@
zy|vutxr*OxLDE4%8%&Qip`$6VLR8T!{7MTdUPz{mzAP*p%{O`%yn-Mz=2j}T=`pyu
zT0_{1d_s2YP1PadAXHy#x9aT{ydC@qpkCN4)uz!GW%HIl<)Kmc*!7*2K@S=$z{Pu{
z$1UL}+};}t{S|Or2=f7tTO_FfshAOTR#aU0L}+i)uR=ph>%|H2Ntb(Btjmt^=g$*w
zG4#n@bvvU*;|4~XoztFoZqMGG!^8By<nRQ5hiBlC+MPvBuhkYqUkcZCf&XvSCgGKW
zjvkE))Gxx%mIwr^u-_G-uE+rq>SAD_(F1<CvpV=QG)%a>;FGwx-Ofh-bQqrwi!p)!
zjz&FnF>)B)(#Fo_fPkt*ue7&xXKC%p(z??6(uUH;(x%ep((cmM(w^r_cU&ypRl2*h
zuXIo8-qQZk%S-o_?k|m$j$AAqMS}<M{|8GCl}<cgI$1hZdbspR=~Wj?k6kQ1UV5VR
z>SNcJ#?at3CATzQDwK+yB^Nw~tu*m`X|h!6Y=~=Ytm#z{7?6wk&0&79!x?sqQ?;s3
zePOuRsMU+L=_)>Lxszih4B2qQuve$(pC5+Xtni<)=lMCF2L>+*a0iG};7?|0F-G4k
zzCQk1^dY)W;I)fz>{C9h72V+~@@GrOXwdZGir<AlUj2Cf={-B1xv6{1dA56|TY4>h
z^lJ5^+u|QR*X=ClP7}l;%L9CA6vJ1S$N4FBWb%*H6NNYFtn%sz6fky-O@IS2SgaC`
zG4at#@liR}XeEzP;rJw+8sR3qTxa>I23&_%JmeQzkZSuGIH-lg4Y;q)AO@#aqb)+e
zB8NT;hNp_~ebg!P)F~G82+%FPx7}IEqu$s=ja;M%&6YIzd*C}q`8Vfg2(%c3Bf?1#
zI^s_bi;oty$p1pAXX&T-XrNFldin86tpL3Y9EV4R!=@+gm=8f@1HbOVi*C~Nw_&&L
z<6B12=mgqC5#%Bck7(3bgkIRFbxZH>EIm{!v_&v2+Lb;8UyYBKoUIkkB5dZjhxo&#
zM*zWt@Wa9o$hjBWVE;S1Z|Igjjv;`8X)>GOgJq;W@*DgK28NMwm?<Ji&nX~+XnNh}
zANn`^ck$x$t?qc~rxCe}Z~Ay=u-S53Bs-!sG1`VSS6~2gE0eJgz0QF%-g)1fc4`yO
zX!M#hjo{8X<2BtW1P@T*S+7v4`cER95s|}jxNf)Mj8rB)#BBj1&nt|qDwNzh`ogZ*
zH$v9%<K6m?_vk;qBl+=`fHuY5Q~pyB7~UfxZTK~NV;_5+TaPqqQxI*E!YI7sv}(>M
zqAJ8W&LhG#g>g}HPPy)kQI5&=ve?I7Cx6H*_~M($B$_*%!<alxk;R_y5Ns7$qv*=Q
zSm*rCyJE!gor8$7C|(9gu?Jpf^C1l4A}nz$erpB-7tt#r@0?$7cZ?3cV0DP$?L9tE
zfg80?p&NZ3hu7<DIOKWtC;|;t(v!&z2rU{=r`HstdCDeM=srxn61N73$FIac^g1^^
zib$a{<G>|Bv2JCDLop8H6n%fdBKJP;<a6Ee&eEt;mp+W%SiT06?<czaDC*w)=mz;H
z*3tP{PCiq6GB?>Kn<V=*KfX;q4m&}J5;xeXHVEP327A;7A#U8@Wom;E3~q3bY%oh#
z<+k_9wjsYEBHZAh+92$E+~BC%Anb+Q;F#JV>`C0<lx(2(DQ+?<n}lqJorN1bDjP)R
z9(EgU@tCGX5}GkhizGG$O^YNrld?t1`jZ%)lkJjShncO($0;&NbeghVvO6)E>F6=S
z>#+u=wB6E2@Y|Hvaxvt0R*2vvi~%}J%Hw$vFSo}#1Dp(?p|@N5P-ivGqss1uJ&379
z;s<Xpk%^biV7*bp<gNJtvI_?(W76&1j$w2+UKtA>y*40``1`dS|Bbl~&+Rswoz)yq
z;akPvE~a4k`T?X=N*HB8vRk^l#~itY(b(-QKJQjASaL*zuP$R`K@f9V5a@OmAP+~5
zfnx6R+o2!)ju4XDLAY>|jrkTPe3+O}Tg2w&ZqRlK(pfa7U`7_bzodcK8WZ05XNy|3
zqB|4+WSRJ6Y+|a_JsG}=c|rIqBF$RC#k3a5IT0@|;lGhrh?;EXSPauMPNE6?sxD>8
zHa<=GJ~RAu`0Sad5ym{zjox)8JxsDMw1U~{MEj|yX2y`=s5YT<2t+g2B|#gKy8L=b
zT>4P-{!*eJ*hBbX=^dqahreT1CDJRHUm_Ny>3U~byET!&E8p}dBQ|J$6TPvb=uNno
z=EF1*k4a5zrVPvk5_H5DCRq(636UxQs?SI74pN(`8bxx*NYQLvKD(~f@TXwbwH6H@
zNFPlgXhv3GtXZd|-o=Q>3K6(->IL$LpVL$=0(@-=S(gfBULv)__5;o%xjJiPGubaf
zf}K^A1t8mQQd*`YG7GOx&!eaOs*iYl(%Z8WR*H1*41Vma_~Sd-{Pzssy^})dJft{>
zELn4B5Jgj`<;>_#k!}!Q)a|_H(!ZcSQ$+F#dZQe+`W0TJrPZN;W8+BnQhGOfwDKGR
z4VgBRTE@IMQqV>~DH4=4X~UcpUc#dU-4or2&H&~)V;&}SwaJ*Rh)>aflb@~?763N_
zjkm^-=9rAz$ErH)!$ppjGk2IT)@LM=E2>DlBPY$d=#wYOLk#j~=ssb_>6xy0uwu%s
zQpU0=^0m^0mtt03_Y3D{x)(*eRl(n5{$!Q1ZHP{Y?)v1%Fx5%8IDUu(L8P8_!E_B%
zH2gMJ^y)C8V^@aHOW$4kp73|})j`&bI=i&%&KmN;W8Ra{ZRqtS%ge<>{-RiC8fYOU
z3a3ZuGs)0$`V^@tuYok8q%nZZU1JRTz$%CQba@lnZavwiST06mZS3PQmt*A4f+r7o
z5{vcmCP7MzefzS|&k0|7RoR8_Un&+mXevjUy9Iy-^KtTdU9TOfXQh~#Q+`r7&hm@o
z*a?dj;z8)%kKVsjEZ|(xSxBFgN9+uU7Muzw4_tM{72+RyvQ|Ectw%(UgBL|!SbSmh
zWVv`TNd96-BC14?xeR55g?iO)^pKMa;0n10%v`&%_kz5G9LM%YZ><(zg|tq!<xlvO
z=wH&Vo~t6|BPlaGod4{WuZxSgRJ`8CQUHG*4xTJqftGo?+aoRWr;}*z#Xb!fZ+KBw
zBzl3l!|DgRYmhMspOxNP>O@koro%jRx@n*{q+)_DvLGbVVbSObvW(J@S<#fc!Qc<e
z`xML}dWV^U9~y(dKqrrNrS(D`Q;2WGqp@kfNL^CC%d(0A203L)r1(|L=<yXH#@s@z
zSJ2W7m<pc^3gTEZD>Qtux|PC$pCc55n?v%m)<`{HBi^5GAhTDUq)`$9!T^>R{HO4W
zTZvepd}QQbSBqqnu<me>3ZGHVGWs1E%kXzB*&s$5gOH8Z7_#aZ#bXb76_3~UqTzs&
zoZ;(~<&1uRq4c)s_ZLfV4}TB8f-)q9kguW66PG@=g@alwt-KStdHSAi=dpRCFB8;~
z`nO#=^&r(PX+Co4G((M0mRu5k<-8FN^X-!M*)(nAm2EP>ov;hBau=W%3rmE3Vg$gt
zWe|8phP6RF!(^p3)~+MW@ep&0*gOpNIXl~g3&VORjXJ4U5rK--Io8HR2oP_vP7vq#
z0(tYIPfJ_RM+EpWg|KxG30U|AWE(r{8Gzw%7z-9_*O67yf*0078)LO`F{Ke{&xjuP
z-54$TRamD+7nP63#6n%?s!xAR%EPJYxF-sA5Oi?lB3mQ|ywt_$OZgeu_ZWx%F#-8o
zh4<rUB%*vy3m_34Rt9}LJTOvpw1Q6)rz8*L>cg~n<V^zaK*ZH&OjqzACw5XXk?)!g
zV?FtdS2fAOQuIKn=Z&%-(+qa14u?n2Fj2fledISel%tiu8)J`a)yj;RWrj3pM1Wy*
zw!|7WyeW*PK?`~q{{m_^hRH;0W-NU7me{-W8O_n*_}gMyhxJ~!f#8al*sqH<MdX0V
zCKgzul@k(XeXIqKY|ZnN^k7}=fm};kLyJSv)W<>8j;Uy@C9f}t$z1mpFCwH0r*#en
zH@EH~9ensgeF#ez7^${9PY*cwuYr}oM%CdDhhg;<1e!xT9~-{)w)<Xv)6>rkZGY`!
zk3aGF<4^3I+~I6{{PCM^*|z;2XXj4mrdymT4>MYktDi1mR!ONuO85uF2A&xhK)Zto
zi^nmEa;8gIYIl*=ug^HVis)d8zEDBr?iGifNBv608TXtzG8&*kD*#mtrufBeIn!>`
zl4!!t+7;2J>P$A=anYJgMC9!QA)LDJ!4pu<Upx|o_|59J7JU`ELDBK64ktziB6YDM
z4}#INpgBZuA0+dvwsr{infueiGO5K52m<AL7wXP_XTq&Cy&Vo&A5q{|$I0~Y5UWOb
z#zx0a<fo*V!(?p9#$;vm?V*t!gpGmH)~!1nvZ_P1!Xa9X6CV+%0@d?qBjz{td!oMu
zI`{B%=<ra@nZ_auRVX+R*rD%%bn=VvEU;!y3U7Vj@R`H;C|$JmzKAmPNIVmlVB^Lc
zbu7mlKfrv8ws9FE-U>)jwY)$ATDySxQk@lSp1eVTGF5`Wk_G32yg%U#g-C?<%{Crj
zQ^gWc&<nP`dT5(-n-)%dylwl?@U7doZ5L#paj@|01^s0XdWoJ!h^B32yF#6%hUS~C
zz!FKBWEYP;A<<*WkJQ>IX$g!>KAfzzVgLvWOgxkdk3HjWB&?3sT5OE5?<A8Ll1;*1
zL>QwV3^!?%8rt@Fb=&s1riG1x3Q-*ve+;o1vL;D+1QIuU?Q5Ml<NRm9YMdy&l@y<8
z4pYKmh`vfvr?v@^hU@KSX(;x3vMq6w?2fnG692L^A4H$s#c=|OsS9x)+x<k6v|={&
zF8!yxuZr-DFg$MVB(xOh)~gnqk7D^!h)<xz-NSb07V>SxAw5daB7y1qP-G!WmzqQI
z9vHkCf{=KVxB*_$mTr`PMGXU?>055pxWKeJ=TJqATFN^DB_Rdno`$wN`}gm6wrw+|
zF1W@hMUufIJ~)99N04pu(lCudY&me1@IDiw_u<p3Q^tBE>Da+U4<$Zsh2ImTLKR2d
zYPgAFyP@;W{+B!W2dvUCkmxtDAqKrCu9Y&X$GD$ykCyD75upo4R0P~UlribRy^&JL
zVY=sQe$k;yrF^4Z6>d_DzZhL<o*MBP`(l*M1~#?z@#@xD*o(i@#PID6-M+)g?_%p`
z%MGH6SW83$-F6gaa>&YZ#*)~JL=s!Z%3OL%r6q`}5Q8<50F!|uPbxS~hpM$ODD7M|
z>_`$paLlEuQI1CjwL##@&tuu-Fd$|Yf>KxHEgB-Y6G^O~(2*7ria}-q>W@d>s49v?
zzE;c)sB}YAZitAoS_|uO%lA_LC;6ptD<y=sR0)eOl_@?EFyApoDF=Km=LpD;iiIPd
zeRb{$>q860>TtP9k>~lwaMf$=tk$P?25s+0{=2z%CxFUNO;z#*ViJv|{=(I$c&aUA
zb5;0-LAHf5fmb~~gbdo_+q<!eVc4wbW7xn#4YzxY+C33#7m>rTLsg;@q>zc-6mBOT
zmES-)q&Lz(Ay=!z#h1WtU@<>Nc}HaW2E#|R+{1MO(X$odvo_`3E=HfP4L_&O6qIVp
zl-AYJQ#nCxxmZ_#r6QjmChj(c&BPQqTnVZnFSzB%!^e+1Cr3^kcJ4iVV&uW&_m3Pp
zbms8r=*zni3mfFy!CDj++NUswJw9^s=))sN@#^v8_g8$Xik7dHily^pr{(8JJI|8}
zNCyMF>?dkjgM>SOf?{~snwUHX8S`uS0o)uHDRP}CN<Z6E)gad%EFw~q3z)MaZ7sfJ
z3%}W_)hph44_PZNa)ReUE}pnp&kfR(cJVBrDJGMg&bz8w;~f4veoZ{0JOGmGNEC{<
zP-YG*9>eOOD1gO85>=OoBdG|b`-=BKeBt!S*WXM<K&XVl%ph#xV37%~Q%naqGmwv!
z7v=?R=jMol^Ef09mWCcX4pXY`IEuQLb5A_orl?sIvU^QAipQEi-L4`lfC4V+6|%+6
z4pN`w#6@aPgj*PWkSmS8^KqmwTD8Y16s9Fal$KIT`sv5vA-riy_n_MO>BrGQC_rmc
z!u^@2Y51qVo{?YlII4k>wx<Hnrz6^=6_luk%ZdBR)^{YI!huj~C;CuQycxwl#Y<3T
zw<!SJ$N<JNJz>U~9+#dgv1tV+z`0ZDumy=hCc)2w98}ymFnJNsz&L{T@YiArlv*pg
zh8#IR2-Dxu#3xuX>crZJqGSvLC>Qh_Fm*~`1>YOdp>>Dw)h&{I!=rk$)>z4N;pd|l
z*Th>O$U)-b*p-50>`7R{%v~z>V7k^gN5qaTO20ze52$jQb-7u7OYlJIp>x%%Z|u6_
z{cB~j209srE);(v2h9c4NAGX^qFBBWZI{6egA^UyJn9J+^MWc?K)5czff7phxW}$+
z1=Ls48?v)=Z@!v7oN~`04aKg5mg?~vc54LveH|6WS3EJQMtQ?>F+Pm0fkW`C6JpOt
zqQ)WQNvscHMQ3OMb`RZf3ZWAu_23Jl#Q-+zpt51*3BO6zut<Q`+Rbh#z}oO@R1Z2B
zK8m>|p{9-D1FZ*)7?*14EDhJ#*|Ii-1ga1ZH70%qZm%8aW^?$k(5Rs-Hd>SqaVPqy
zjc3i0!$LxI$*ueI-@f&>*T_L@rDzodm1waLp6h~qyiPo(ylNDJQFIm#dBmXj4y<x2
z(OKAN-~#1K5iPdj3!bYB*ab6&Efr$L1*RVxN!QZC1YBN^$Ah$Qf-=zOyczU@A}>!a
zLDqM&>XMY=x7q}x!Ad@M=PaQpp@Lj%XBnm75X!^CI!kHcm=a@Df6mJxl$L6syk$iT
zyKmg$n5Y;*^b(4)st{CrK%BAjdt%F1n+sw^ehe$^p`!@eNNsH@)a#t|RTt&MZ&)MR
z^is@vdOEvm&;ZeAdlJ0Y&S7QlVreUl#p~!zejx0P_QHkFwoqcQK8CWAs!JId?Di_0
zLlsN26cg}9?&4z<1+=SAwxMGzdKSl87-@onk*E@(vjM#X-PWtr5lmH!K}kthbj8lH
z=%H8yUKjltwnb=mvRp@Z6+wi2T=dRU78nB~wvBkzJi2GpY_n_@d}Fxq+_`d>Y_>`^
z6KQ+x_naH2TrpLdMh-16NeoI7Xh?f<v_vT305_U^zDd5z#TlWiz8DFzMK(eG3UcC&
zsj&*;01Pbhdty3kBL3n|P~J#>G1Oa(O|E<DCZDgC-@^-yo#lb=egLpZaj%i>D54=F
zLB~bBfm+-cM=||J&A3bi{W|1nqogIo$9#^rz^vZcZZ>ve+uzQTk1ar0Pz_&+X)L14
z@2rX52_ML}9Qj3<k3^fBf^AndtR72+55lb2QWGT%RFWh<7e=~<hM;7t&NA*1h#8R1
z7p59D(yy(EX{sPXV{JH<jm?0bL{LLrCc#KF=NSwhi|Q;<cqLz55j+!75qd|phFyhn
zg10{YSToBjO_wf2-?JvM%>{)@=mskfQVO4v4&*%~;f+dLvC$>|0&RSeFI=5?f!3$U
zWukrv-xAIG%Ws7x%V~AFgFmAwaQOxNC7Zr2@z;xqzuu0&Vr1Tt{PUg3Ki`Ev%U$tL
zFq7OMbGyORUs#@`NE?R2v4J)XMZaScQS>`D7Dd0mDsqw7b`*XZ->}BMc|7#YYiNHV
zvQRauzN3vLV%0PpD^}turw(W&L_q}qAxH1EvH>)VEEc*fR$asQX$xKOe!bGhu$ZdW
zSTCQ8aULTmauJ<nVgn3Th5U#V?Vw7Ko$@d}#xg6-%@S1}Vws&LGT6H9HqHV33WB}p
z-Cp|<OQ)hHn*@m>&8&jK7+Zj8*O(k=nM%9~7b?mYDv=^md{D1!vN`rW#TsgZX!{n0
zjxl!Ei8j32jYw8xW@04Pi^sv|W5I;6TYi@2>LCbBBJ@(t8Pt=AD!uTzx{I>(Nc1v)
z0Zl6qCu4sx$Ne&k#EJ-?HvuxQ9Lg4}1dAfT4yu?V;;eu$BIVLnu|6M@aIJVfz6Ug6
zp)4F8%QaCB)~<ZI+qv?YSY)+95E26!t*wt?>}$8Y?y+AF*}*2f=+_g`uN0}FxFSp$
z(Zcd_w=(U{G!g%}Nbz7RL$ptC#jt3+L+pOT&hqdHaK*Mf)G{Mtqs@%L3&C!?ZfC<V
zCo!>MPHfxbzhtJ9HWh~6lQs%Qd>)a8y$%izvo)^!#Fni(rAcCaaZ~)c*rLiaFih`)
z050AjoR*#BXV=A_1*Sw3)d>pD;*m8rNQTUHHYImwqpt>=v!!vY51P;(JFGVPG>|6n
zT^;QeJkM285&6<g>DlP3u8n=w1hN(Gv`5+UU{`GP4tC@Q`~L_#xZFu3IuOQD1~fvv
zbg}f7h;Z~mm@uKu|A>##ks~SEsJ>sxDMe9@gsAb@m9+X!Nygw4o=?!K{9>fCXeal{
z&Jx6cT<pFoC?knJSaLde6z!=C4}mBxqZ01UQUnEDMExQxaxrh_!HfgbFxo|Sm;Cik
zB<sZFLu_)BpYN8xz6>@QZPp1%1v~dT19I1t(rhn=1UM}0lY`R^zIxZ~k}#f!9Ni&*
zrJeBP?x_eGlc})9o)`@@kvoK<7I(*55c|<aAt;;Wrc6$_!wtL%S-?cZ+n(;*0amml
zfO_*_pnIM|H-`(|V^@WngTsRYhC#lHYC;biy{`<nLdu6e&FwH}z_al1kcb-2206Ac
zsuK!7=E5Ab-;(<FvU}d;v;naZY;umii5xwBz9ID%$BErz3zYAtou+sp%@#Ja<Kt5E
z*p;RA$L?x()(3MLa`LcSu9AXpTbuYC3n=hk*mMwx0rx`QuSIJ?)N6-2t3-Mm({4CA
zDhBUdg{c<mbTM}i7B?_f<G=&)x2Q8jIV`k#v9qCoE_n`hGRQ&Dc@DJY5U${P9Jzs7
zbP8Dcd<`dDkC>jG9%i{IVZ9Tv^iH&F?u6T=H)7d}lbscfi9(FVEg=mmm4{bC=}2SP
z_gWK72`949a7C2py#%FI!jsFzrt*g|)OJ>(H;OsV*aeEBNO6=F!LXG4bWNCs!U!-y
zYd7c6bfDy7Lxsq2!xwipiqIaXQ@}03sPI+f6pPTrx_D`IxYgu|V24a;L1(T_6rGjf
z$`vrCkeQ})*lACt-eX~{ce}F`=>@7XVnoB<xvP70<V*K1{MrW>{Icv$xATYpH2qy4
zmmhM=MN1mnKQBMrEm|%bSa#x{<%fIt!{uN3>pzM5c+hag^k3f?eHOG^fA;IoN1xrn
z?{4_Q&;Nb&*<Su^WB0Q^5q)+if3|7jG5Oicg3mtnhc86!?&8ljA1w|=pWPjN_R;sR
z)q5CH$)YV!e;ud)#Jr^V^qP}jdqnlB{OH}^*qeS7uzt;-erzP%GtF)P?8w_AA1gk&
z_RyIZW6m-7?6<y_@bdiW?|$OTF(=8NeeNBfi+f-G@b_MGBpO4+C)fSp2Y;h{df^pU
zh`*k__s_q9vu{wKP0NVY0_BlQ@9ZoOw$xy?hxWE}F+Y3(eEI@%mG8n{YV3C}-wir1
zcFX(t$36VxUjDJ4f4rQ3+{Zue=N}{d;{g9S$UhG8kHh@q2>&?BKOW#85Au(P_{TB+
zah!jg;2$UX$0`2tZQ=(kKd5Fv!TfjOqw@Rk4~fuOiKSD@)^Xt1eG#%!EKBYqX!;&B
z?JNv5!D2sykH{x3qnH!h&@um{KNoQ><;1VvjE(*x21U4Vdpp)SDcRiZeD3M3G{A4&
z=WJy+hf=Mrfjg!TvA1Y=*X{J-6jJCEhta1ruI{{$mv2x{pYrLT6A?e5jiie$;Iv6E
zNqEmQAQ_$WBxYnpIB2_v8dt}IunAEOZ3g!m)It&y9t@1|&Kr6LPrdaS#IxVdIw}8R
z@blC7d7`|b{7d+G?3$N|5?-fM!p0S>gw-z*CA?mzgx^`oN?7|6QNkN^N?5a$l`!xU
zQNkN_N|?Ncm5_UhDB(>yB|LLAD**@3$<XaT@#yeoof2MH^3v)K-=R~&)Br1C<x9j8
zp4BPg4+15udWk6EIh_)Qm$4<Rc!?<Cd7Tojeu)K37j;S)41%RKFA+<4i&hC6xjS6@
z5>diibxLp-uo4!&M3m6cDPhM;ObIXOl<@yw_0qD0w+SUA(+PjMkae)Q-7LSTQ_}l_
z3D)wLNOyU=s-$CIWgT4!9lb-Rqdy2n*uj^Gj^3&2=){|^WF=h%CA~}Y{0CysyE-Ml
z^EM`c1(uh@{EZUEvt&G5H^efYLoW@Tv^$H%5|CI-DN{;VEEZ7-T636oCL>wCNVGt@
zJh)I`S;L(Uw&!EL7z;4C4**p(RKJ>AL}});$gNVsea&$ci(ro~Hlqe7bc)kU0YQ0)
z8fu=SkecdVTix<4Xwe?W3Fxs3Spsi?FUnnmbM(O<R+tv?QZs&AinCbcA5_MP<uTD_
zSyaD^H;yfE+npsim6+N_61K-h0=RrLzM5qfe4@l@J3fJUJBaIB#8nGeQpBdTBRJT}
zIZ|uj2=}6M66cd+i`+@Cg%tX^q^Mb6D(}Wuln>$`$X?!qpQNq5_=&H78UMJOf84`A
z_VbVX#E)ZG;4F{e*YW}U19>QyJBK{GM{AYyB+em!LL6(>!a14FVHCKE9T*Pp5=@-!
znUu|j0LytsFli&_>Xe+6uAM{9>kgup0=s%hDgjd*Ek2nyvdlT!GWV`E_k$_!DbG3w
z_qUzF+3*eO8rT3SIL970va{ws=M<J*=!gpfkq!V(!ejI%OIEj*Y)wisN}kRk+0|$0
zcsD+a80F`+p6+6{hRpZttog=q_lbT(`OZ1`UK=}8`2-*Tn^e560rUAbYd#mH_@tEN
z9DJ@jUYisrNcU8%wgq$gz1E!K{)vP}DQ`Fjr`vlR-i&i5VixZDD5#{9wWHo@@E%L`
zL2Id&rlg`o;2csp(V@|_<p769&o0c|%~^&|TFbC3B?IO0=8&Oq81)|UgRb{E;_PkL
z8HLlqp(u17HWf#oaH})o4?a!fFm|b6ry||aB6ei&a896{MjT}FP+Po+-HF=Hb6LKT
zHTfIXnjA=Jl9GXQXmalX7gz2$C<(`5FLY=N_CKCR@pr+mV^BJXZ926oIr->zm!Z=K
zN46*J-I4}N`z32>m#3tqtlu2ct`1_NaI8wop*&>{|H_)fl_?G>B{v6$Bd1~|c{>Cg
z1?ZmwIVz(hh{&YV_v<*QDMV!f&Zd}3$}|u3SPTDTt%W5iEl^Hw4lUetFgki(48#vt
zaXXRMIFHlWi_wYhNkOx{!m=!0Y#Yz6NXbH}wK-&2b2vO#9_Lwj=bSxvBpKH{XD&Aw
zbD13BDC1?y+uk{N+uLQ{a+k;(C8Flw&E$5e#PDnKB1^OD5~ZQE*&Nc`6U;q>do6Z2
z4`AasDjFxLM~^fbD3BMHK7}oi&S_C+gxQ?f{g;X^E{PJ$d!Mnq<zPN{Rm%P;S2l;_
zL*a>sPI!j_&)}$>6X%%KqPq~1rkDLSmg%IiOv&CtX}vilx%Y5z%mHDBit}-I97n+5
z28^>M4_l-Kexp>|Or_&+*oWfRq9vufG*T?_<Hiz)C|;RDk+OMn$i7~nhz%1$%A*aj
z!6hk^z6tYs&Y0IEI+RbGgTrN%=HVLoggc0R&b-WAA}^G?oP(E<N7>Wwa~`Doe1iK?
z$k-{q;yZSBIN?Nyb$Xf(F(kXemL8;$5;DvKJ(m5sOO%~bmUGB{gk|3wgygu;No?<S
zl;j(!BkNpyzKF6G-ksEfZ4NIm(VIkM)W#VvHS7weGlFIIQlt$zi$_T`&VNywsVp)?
zl(H#{Yzw70$|5^KNrSSO@6)urEN0X+?JbKLD@_&4VwOh}uCkab(S)HaVtopx%OVb@
zptUUGO$yw~BIcs7rz|2C3N6YaKA?fTEJkA*1jPbSnTCh5@a*JN#ezqfoK0Ey3F^us
zzh9<~R2IE~%u3WhmxXF^CV5Z~FH*RihFw11u2eieP%28^rV^SWU%QNsoEpP1OLU!;
zF7G*nEn#Bc7H)Sd21(&HbfN&ASA{6q#p#swQjeFJnPt%~g<j1>ZdH>Jj`z#*F4C<?
zk$wsqFiVkA`7}y_k^9451?&`^Xg9EbQ>45Hc;lc*1|!=`V{iF>{KE#<i80S#{<Fqk
z9#GO~jVb=LpjiG8erORWf3(Mw@+W#d_<wsn5Sm^Qca%xzmwd$h{V9m`Mctj1IlvOR
z>~1h*4jo%?>`I)mFLK$R#g{W1e{9S~K;jP~5?`_;(TQ~vX66fmQcq-tY@ylmC>;ii
zQ)APU&ij%$&C-q;T(qQLpl!)bgU7tz#Q9E?clPqQu0~uK9S86#6~L>ESyBM}H&*-Q
z>nhtuknExZjBw-w&O^l3)kY0c({M^VED)gaMZ8ILGQY)GZ8KI(Mt{~B%DMRo$$viN
zKaW!riT`}Wf2{9arR#k+8S|)sccU$dZ$%yWdO@ORx3lea8^T`a;{4BA(V;sIDybgV
zqYWc?+*q`%2yTdao0})z@`ATSPdldRYY!STq`-B=mP8sZ&tNT+x#%R~7gjNMeREo6
z$<F*c?IB(kzIoKABbLP3T6`{bcq^qq3&*HZ@*(LXGQPvYe>>Z~2-y~6vpRy`WGscP
zk_G>q-(p|fO)Od`AH`#;^jjjjdfpQEPRJO35qEcWI}g}j$Pn(>4sNTYn{aXX#6yiW
zR|ergpb`pbN?YSXA&3)la03&A$=WA(=b8fVJn`f<@;H_$z?*v~&SnDM`6MEo)S=jB
zfjTrkZK?CJjBPHkiS!y8=iO(nJJpzUtNv3Wt=4Xc;V^08+7^t>CyeFIip}~Qc3cO1
z<za?mn2WnhZEX2pjQLUA<wtEvNdNR<TM|#=MOG|Zfr-%vf=Djr-%GNSyirL?>~OGm
z9t&d8(Sh-9+{w_MW&UepwPiJ?8*^$87cA!^mSb_#LbYH2g)wW2U42!MxGb~7U^H8Z
z6l-d*;*VI}%W>}ps*A)}v{0P-kjNZ#7C(+z!K-&C$Dr`TIKrW$-XI8?R00K20)Kn?
zJ!JjwrGMUse;)e5*KG<qL%^w+^DcA3%P*2nD)xC?Jd+-j)tc7jkdVXy)P8<<K4K<r
zKf1VksiksaBf}zF64EDJ#hA}`B4Y0mUmVbZX;f5nM)`h9?9*ZN4HQJ6_`o^YF3=nk
zlVV&t+DHOuNrS;YVyv31VBeXWVA(Lm%3}g43hMH;i9DTm<K-b+9>*0ly?m8rqr;L(
zwuC)s0{er;94j7$?jkhH=O|+Y+k;6b2}sD1iv5}e32Bvcj8wL>!5yP?^#>gsgL?{K
zf;7*^9Xe-m34yp~0E>yvS)6FB33<$3WgDC}h9j#D=5yi_6Otqfh4Owij|vAN2~4w?
zrz=L3AZd|0l(mf6R1EJ)TM~VT{018G4xmn{R&{Xml9;ZE{Em0QrI}sQ<;>Zdf&Ct1
zakB#Jh>>Jm@S6|#<$O-aZ_JG>R<V4qF=q;v-)T#t?^tepAO>Ji)k8-L#Y2xyuSSgA
ze>D~^D{>oi3AjW+K+MJPTB73hDPw*Vygq45qVIU!bH>A(EqPmL!{M{EDF`UiteS5(
zLkiQwxn9ZgNwwPfk|;6qe_^bqtjOP!!`b;l&OD*ca#BDL$VtBja^_=IqIn@^%siH=
z=J8cyrWNz}iY<x0o5$TW)P~k^LfpqUif{_bbPm(eK@Msu!)Th!hRP^$G7z2in&|PD
zK!;6Z`7+b6DXVGh%h4cAqcmBDxN|VyWEt}w$(VPW(TsuYgw|gJ8Do~QOtp-q#yl&Q
zvB;K0-z{TVRP2{TI`%muce}9&S&<vaMQ2mSUHE{CMBbPO1&Ld2N%S3w-60aru6@p^
z$FXy}?$EKR7>vUjJFj})N9vkyuSs-H8v=~&!^TR<itX+Q+x)J4aFS%cUC#$X1?QOM
z6GFv$<8svo&KUEm*uW`U5`DLUdm<ayy$@xE=g4Kx(EJHk!iQ_6MF)qnRd5tHo+Yy5
z31he<N^BKR8LKI)Roo-3VmIdOBxat(%tOp@Nwt`d#O%2UutGJDX=A1p^Jv+U=(~A1
zk$LRd=bWVD+$*!K9n9UFf&PDt1<nezBZ1zNuS$lanRMLYuT;_e9%IfFG~a7WqVH(t
zA~f&V=ZxTDICN+(FYLA7H`5!8=`S0LofXrZ#Pp6l>e;CCHfRT8YzZ$8>nau2|7y&f
z0_&%2N%S37+3QeIDs~}pakUrjsz?S}b2n!||JqpKtboQk>0Yj75e&osdW`}$u;7jy
zx$e4JMe{F=IaAR5sx65$nii>0nN8&yLJJa-i=VVCjw=%v;r96tfrze%vFGx$b){U^
zUG?$MqWlo51=uEY1M@SRqf=vXPJy_5B2h#7ZTPCdSY!>OWBjd(y<I0rSgZ$HYx?R#
zbaN!RcuLR|kadhE+(~~hTSM0R0b}{~o<Pxh=bD_j-;z8!O`?g*Xv!>|z$)Dm+kM7N
zDWKeI3ySR;#Vv<9F}=^hy-~Q(%@Oyj;8HTa^_4Dl#>wod{fSv$VyueBYRQV#Ef|JH
zT0PIq=abCmL*^sj4cK(RxyBqSz`fd*g!G$_G4}JlHoE>SI@@S%qBZ4S=+WQwO&Gn4
z#)4%<Z-ZETXfkK|KBlWkeAbvD1*|vOl1PJPF;2>%mixK|3CYFXvzv^yrye;(cM;d<
zdL0~4L&vL&Mf4(WSf{(w6Gw;e#y~nHhnxkj8s>XK;=^TU9_X<({+uy#S*`H^{C+5N
z-i6=Cy~AR0on+3l%=p2_rR1lvX**9claGmHj`<nQiu=cnc~=bgXBh8Z!O>99=*V_>
zxb|QT`+o{3SjSp5?mHoI3%IpJvt&JcQ-<%4ja85pzUy+hY@0Y0Ytb=IQ%lmTj%lmX
zzhumqg3T9fNyzT}`wZ`Vj{uuQ#esm3)&~T3$U~;KEB0)~&|SH_PjPN%b57I|B#Q_H
zfARjL8w$Q<t8!WG`meSm`i|OlB3kx%4}kzr9M9B(jpKINWWYQ}TSoAfz9D!$$IMuA
zg4e7FAQQYMaMV;S=Zra1dY@xUqVG5^KJL!Y4daOcG5nB`IcCg!R=2n$SK)6@K%glw
zeZZIn1%ku2B>E1)8aiT+Mssn*UL6O7CDG74XJG2aB4q_;ZEhmQQ(o|tz(`X$HD%0=
zf>GI)MBg#mda#7^ol<E5;r4?2?$Y&|Szcfi-)$^(RupqN+!YG0lW79s043K6ST#jd
z?=)slf%QdO5`BmD+Tds;nmEjn^_jgXL-}*Yf@X#Cx?F%5h5NH+ey%#EsjT|AF=Gmd
zKVwUx?;x(iVobY&HTb7AbG!6I2I^0Zg~<xkYScd^xJmRcO;yt$8?&N7^CepneTQZv
zO4%F!1;?3cS6V*mjX7_Z9N&61VyG6b=vQRFF^6JwaF<Upmq1KYZFHqEM+#!!nlHpG
z@-s5U!}E0u64GwwNb%TC>^D3(g{izavKMExAvBu8(nD%i(W4Dp&0b@SvUc!|Ic$n#
z-tuwYVpgM>L+m!@N3ofmwj}zF*0#gv-3qpTgtNhzS{ziGN3;55x6k|*Bl;?1@v|a2
zl=A}qgBfCs|9lPm2-K|utBz?VDUTX+s9=27mPFq%-Z)Y$w~?JG;g-t=9f*SqFO_*?
zuSSgE>x_lVir}W4E4a(2xr=p5&5Y%>#tbQd&DfIYJ76mx@tbX`KGFn5sb>t&4;zb;
z6`oZ&oU$3?C5DP-!tn#fd?=`VpDl^LqjF8W9?%in>#0sugVC%l8L`h8i<uR%Yjbfv
z^C>=K_-W=EziP~tg5NLMlIS~rsh*R_nx&pGMqe`)B`Zb?bAEAGe9d1ox%eC7Z&$GR
zD_atM$Kv+rmWuS6A8ljAuG3m$qEed{S(;<GJ|LA=Gk={CUAMAd6OvuI@is0R(XHsw
zcE(5|k-<49B#L!K%}iy`m{kS-m9`}M4*xAwIdA}%f+H$9NYew}!@9$%0&`jcbu^%7
zeTkvI%UJlVo%a^r+9<fs7X<fQRt@HP`BuSKv)f{?F@FlayKPDI9p77z(4lLswkXL;
z_VC%GP?HxK=O>JnkQL|Kus=SMBDGFGTePa#R`DuhCKa$BwI$Jau(v&0@^RiA9ano^
z1Vd3RkkiCg(n`^J5XVb-sl&=Lzr`@W(OCSfFmJ>0W#B(A`Hw1w^2~qU$8kxq4X~?@
zX|_hZ&X_?3;@8@e=sU!l$zPv2eEeYv?Swn!S5g}odpBbcf7DpOtRQX?KDpsl+7i5g
z!`LvZ*#q&z#w;nY{eUfrzQeZefZIaP4EM5VW-8hi4AyTMi<K3u^|^84E84Qce8q5D
zrIx{e#+Vxgr(d-t(RZAd973sAt=&o{*`iMwkAE;`KPw(fbH(8MV;E?*B7Du50|kS>
zu_e)W4AzK4?CEZsgB8C{^@&L|G|w5AjjQ@Kr&ycA$<;+4JfZwJ;3<aCpxR5;8S|nb
zG-ykr?+9%l!I`%8e35o*B9Ymwqh85B?@^liWU_EHiJZZEjOabaD#+T?ZpC4@p$xPF
z5z0WRY7Ud5LeO}2V2z6OUB)~rNbj{J(RZZx9`~nwPOOPrsA9MMga<kEEV1Z$byN*=
z>1+~pOB!qeuQ66lRtvZj=k-OhiNm&{n~b7Es(BJgvT3bht!fQV81t)G!>epbq^-eX
zO;Rpv^41{>5|WFnZR;+BO=99s(q47YJ<Fi23*v3ACyl2r%dd<!jJ?koLcP_J2DBT-
zUZdME_Fcx`s@Psvkg(V=X1hjxb+k9>@CClnjxLogdIdK%qnWKCyNaJR7C)oXJ6A`0
zkg!)@T)PJ*aTX6T8HE9>b-Ru}X3UcU$xqvokR9<OjOu*XoNqbfQBeV^hN3ffu%@qW
zC7Y!kBljo9B4$Sp_jgDhMbTHtV+=XXPLBU(%#(uLAKH@WJ92|jh>eT8=^Df2h^;<m
zoEEH}p8#8NYn?SRzz#Wz!J{b!xx$zg1)l%&9~Pc#DajM<$Z7`HZlhq)Id$l85~|so
zGHgS}y2{$Ut`o_gXdhL;spw^igX&i6Dm`vCW=nx^t1XGlJ<K|qcqL&N1jHO7W8lEi
zp!Igk5%u~z9GY`r7cLGblLy(A{34Ee<rcUCn6_lmdq_z{FD4D3kKe=AbHZ51S*_<4
z!g>N7ai|Shap)*S%?lmnBNfHYz+)A0gC^Hu<1N+@e;OZ@H5Drl8B3%X-cdoKXPneC
zIKA{R>2$3w23*XwCmXftRw-!?GE7n%GM+VK>9gV~!=!q|WIkXr=FJ!B0;P&ER|+P+
zEeYuiCTvN_c@ta4CC!`q6t3O$usEtV+#++hUBO~6?j|CyjXSw@qf53|*si|cSa(_N
z>gF8Zkr8m7_lR@4l}K=|8*MZNQQvFKo?>9{vn3%7Yz}CxN1Gj^u^@p4jG~W<sHR`T
zl~c~?n%``~UxX)%Cq0JQtBm!p7;7Rc);NZmC1F_M*kh99>nurhMta=QYl^5oZOo>E
z`7a0(m(S7PNJo-l7Y4S{i0TWMVgs)suC1kOdZ$wL+Zoz3WPfR_i>#1s#kTB#XCA~|
z8myUT9BC(bj=BFOI`{uSjJZ>g`ZHS+vUmQ8EeYxV*<SkT{;hq)^`~)9J!Mx8`4baf
z1G7H*<8W}@K&q~5uEuOsn+N+fA-o}nUO)_@|4VM8jvqU#YxOZr$=(KI#uR&6D@gS0
z`SX7c!|JoB3a3+v!vsY<x!6&jG6MUI1<l&62Xig(Ly7T_pI9ees_VorGv-B6`W?0;
zWGCLmxXpL6YyC-H+;HfIM85$?Tuq;@pl`xBjTsA;6{iika0Zp&ECH4#zxB8=Lkd{0
zv?Y-S%fekskIVhkf`sIvUs2f&QF5D-0p!RK$o34x=4{QD^mb#dXSJjoqBJ)q1H$hL
zb|a@7kG3>*vM(4jrdZTl1c{zLciyMfFN>W&O%tFnUnAxl&Pcmeqjmp#9D;8Gw`7xR
z#wV$x(yXa4pdU5XTUJ0{mWv%lO_+wBg6C6iAfE`eNj&oOLcEysSf=yzA2w!Lf%=2C
zBxJY!fGr8>JlNp+={#&RKEv@D-L#7tdN_UKi9t|k5sXTy=*{$HHpH(Q>ocn%?o7<;
zNSes0@RXrv$;Ikpnu_hO7&EGv-<NGkNb{Rx)UXA9?-`G;L`A^`4nvPczmWwrMP68x
zT!d8^$vM3x4K{<NYx)(`--&JgfoxP~6PGQr2hQk<l8Z>Tm^;#xbT2aISFwhxY)Pc8
z!NQYBXT*!|79=DW@339dA}(+)@9R-;U_Sg>Pf4#kSgW3|RoX31RL$no%B85f;(#$)
zdOt<NYO5=1y6TGijK5VevwH=Jp8B2tDdnb=MxFCb=itecsnMcmEA|JjvEUiijZ@)L
zem{S{nJ-kUvDy8gF8p}4F-Hm%kJ*xteeD&D=6p{yxA0kFv{9o->3Ol6O@rDj?HIRb
zjYZ6g+ttB|W3(9qmjc%Ef=2~8&8+iH#yly=z225YX5_5h**YB5f^;X!VG5#JQtfKm
z77W)<7|WFvuJv?8OUReF5-QcjH1!ofX3UKO)Q<=fm(knpjEyF^Za|zG-Q0)ekIGE7
zHbu$K)EPC21e@{O4BKxTD=I5&JCRq9Mn~LI!17=XBowFTkvoI9IQ~kn{q7A{TzLik
zS016UQ=TmU8^$~<;QpE|3E2yOneAh~{pTxtSOL~l3OGDTWLQV3)VE%1`V@GGVEQ!H
zD{4jDFMg!fz~Q&f&=K6z<70so=c-nlR6^F=o{X{k_&sb{|7fh@td{j?56cQw6jeiq
zDiT!|P?=B>9kK`&;fK%=-4GjSNG6EL0yXac>&7A}hWEF&B+`aw5ogO#oqd}H3CTsD
z!iP;~r)%*wQ|Hup8QU|`Az!anY<ju1^D_lhB5XPcILTkW7VsBM@&<LqVvaFKisf8q
zOQP?XZ9Y+Jh}|=X<f=Vf6K<qQj8MIsF=`JO3z*emY{^Z5L!Probp^~}3^q-v)nQ|n
z6xa^flIS~Z*B@y&5Le;Egg9(7&KZP&jdLmR=4#9kP8kcE6~Y^G6U=SgIpE?`+-Akx
z#(>n6&y<ZBQ-GYbC6O6O>%e`KB6YgAoy;7&4_dBY*}*d}s>F!JVF)65&Kj;2h}Y&m
zC#5gnz&7(vW4&gznb90g#_1M#(fwI3JlUh;RT64R@0t^L$Ip7$%AoFy)fbJ0QS7WE
zNL<Ew$ELGb9y)RI!O^qfvHK2g$ndL4@7=Q%qxdt%f@eh$LoVGET=j9w5#3XdHK9E7
z7whucs+^xP=1BqLCv8c{PX7~(=X}o-){o9KTRd6Enm%sZrnx{8GJO-q>r2LhWyNbl
zt{HI#?;LWL080~Ff5Dg`1+3q<CDC`VZadvT#S#iHFlF;Fr_X+6iP4)3?YE58kQLh7
za=5ib$^j3W<vtTQ%43=o&A%G6sQ~`Zwj|PkTg-&yWQrZO1qsPTpC(h{(yW6I9vL}v
z`!2qh7|t{0BgpwHP1uljuItw{itp9J?h&_f`z}87ia3k;2u)Gk4r6u{gV}CNA`O)V
z+R|Wn9mRr#<l=7IG(xaY_J-LO%6c#4SVyS0o$(6o1{H0l<IjE0sq;9+u2CpasCwS_
zrV|EQo{rYdd}HwRevM?;uA6<kZryCc_*)gLD+m&oF`^qBahl?|PTWB*(yj@WcGSn*
z-=8-YHKT&DKhn)JM`0pZ_VqQoC9>}@W<}BZ8*NF*UiLZ$ZoWge%_G>%Z~=Ko<if>~
zMS7TeH)FUyWGrA-xVGfnDu9Y{sDn)t#QnH2OA2g1YD=Q;u<b_>hZMWmEPm3PrhO@>
zp>-amQzl0!(T+p@ipZXXjxM=)o$P{_NQ({N_l#AQ)c{^jfnFdhX2#RBa|N=7`y*f&
zBrBr(K-SdkIo`Q7k>Bqa^Q~CPZ`qRQyOj)`5;-+0h8K&dz3d^CU(5a)WB*Ua3doB6
z_FRo5$W!@zla^9?p&To7Sfk5%|1V<}6`23QmP8t6i(pH}Ydn5ikdR!wMhMcg0N6UN
zT65H^B6<?XSDm1n?NVl?dCvATw0?eKdnK6a;IOfXC%#J|GL&O$-2h^_n0vD^BZ`%5
z6(lZWe04)i>mx;kuT5-uLuyrD%{pgmM&u!5MP%*KP8<<e@*CDuNB9gKTdNDkjv8~O
zKy=8KgzQ2ijB>AF%(@HR{%8YBL701-YB!uCegh{-&kk>LBsYJZ;jS5LBrDvza?>mk
z4i#wRCrF}vtV?PPK#tdIb<5rrV^$UXeFpDCi?6t1`y0B?bcf1Am~54{mbc@_6WyMU
z(Y6YC73Z_*{E4F@>4L%ZLk8p>#!_YlWOa_S*We~UiDH9<x^*4yZN{u93V*9D3EAPE
zw<RG*PKN!GMo#Yb79=DWJU&>Ekh<XU+k!-pZ+YWv`Ies6Z|&2rKI0cBJy98S99N0f
zFe{lv?K<t=N_emGvr%^Ci^gc{&7UOIW>;R&Wmi6L{H=<me@>9NjHCZvStf}w|G_G*
zK*DT^Pno3sucsQgy}@nFILF1c1f$rY4BaR6-m#>?p6Z*%O3MgU=gwHECH5|3&KHx7
z<^r`qHacPw!%8!dElS)j)VZ^781t)u{P(sbWEcKBwv%4*gY8HoHrLU~By{_vLwAVL
z3OpSt5Y*=-fuFlMV|>kq`H9b!?%26etfz(?=LN@f7+{R!7@V3U&t_xR6gW57lIS~}
z8xFWllu=T}G4*B4gq_hx4ka<{(T0J$-&nM)opU2jI|pxh;*I(uc*{4>7iBcDP`Avs
z-<Tf-t$ns6`i|C`gP8L+9aMDck<vV8lssdRvZAyW#i`(ls!VkVX|4<$H|9k_Xv~&G
z-x0cn5E1~P8;OAA!75Fdsc;$n3qvUmhe?l)Szlr--(oC$RxGy(ECrP4XrhYP54oov
zh@QyY#~h}nitssO1{HwcY)hi=0B-|?;pU8(#}rW08dPxGZz}%D{1!v}VPo;LLOc|U
zcto}{@Tv@Uoc|ccngYWQ8gr;%`~h1MeaCojSSgAP_9&yL(q3l>;MN)~7c08tevxVb
z<ZflAiDy{V@*1iA29`7!|IZt%CM*7TM0KT7HoEGNMH5}0vM8ZwIG_=t#fMzYxm}+#
z=2o$V&)SmcyDeOO!t+{Uv^`imPiaqFy2ft&LNZF4ts$fOFUCS<MfIB86u1=QZz1B6
z-Sveyc$zAcZyGbDfcFhs5`716{c*o~j&hyia5imlt8c=9UB9tkladX%%|LL*ON^S(
zR&!#@HOA~HP;Is)(RZk_rf@p5HDuTh8Vi}VpQWxJU8p<l;(p_AS5Vq-OQP>6jf5SF
z`cflGvIRq--waPdY*KotiH)_$7$vhRNvAmv^ceG!vC6Vyejw_q)Jvtz!5HaBRRS@Y
zQ<<c=3)Y;7;TiL;Sj@OBiN0IRjzidocwVeG9UpZj8nr3M6-VZ|<9-DjT5x1a6SInO
zai~PnILuyUJ9xoZ5n1gZpDPBE<ZBhocOgmM6^HEwl3=G!Op;jmthw~?EyiprkUwWj
zqVJIJJmAiF&Hw)T_fql?J9L0J)}=D0=sS7w_O`6=GVC8URz`N%$4MHBtw<CxPioL=
zgZQmNs|_)y5bx=lOA|kA%%%eS2W?689rnAzu|a`fL|<9)zcWEb+QD2z*bu&Gte&if
zKo?MP$d)t+;wzucB37vvP<`H*U&SImXG<b&5thq+tax6QvLGS3_^j=sN3iJlrpvqN
zxE3dWQMECRZ6~}|sa8xTeai2S78}=WnxBaTNvK_H{2tw6<0|8CRcvdyAaNNN8&_a`
zu~7>*Q6=_MCm*rZ-EJ(RzPl@m?X1ipZk3!w!@2f4guF2uil%S1B_aFIHU?|HSNt|&
zgS1~o@IwdOjfR1J($+h@8Zk@{8w-~ercF4bj=7`l?okLHt2tSuEAcsF%#Z@uDO(bm
z0kbZLh<m0fjc4lU8Zc5%8B3KFsnpzgk#6yB+W6ZQSXzQaPmk5J_QZBQeA$6ot%bPX
zttTfhvCmnv-(xIWR?QCN#v>kLeo7oFls-%7y~bQ98vagO64LPBWlKU9IWf+c6mRs&
zUtWz_k2CJOP1G6$`C^zy(W^~NBu!+thHNvxZLFuPHgk=rib!xtCj&8;F(cBf-~NU%
zQ;G@wnk@-wLVW^n@L;3XB;+bSHs7b~$2#g`2I?P;1<DH4np`2xQ4Ai<>g(5ySyABm
zTU!!+hiBsnI`IQ>2x4#K7Af?mGZK>hs#hb1YSZRE#p0b!(Xl(Ie`D^%USF9MSaeLY
zl)B!SAqB8Cwj}xv*meOJ6<djwacme%9J2qQxZ`Syc5);!G<c6;z1LU;S$p7ihBYQb
zxI0iRxZ#Wg9InD5#CoP?o%C*F78RiHv?Y-lXzQSJ<KYWlqu|qeIHmheH)@)L%z8Cq
z3|(XCvSPRicO?YeiM$;aznQxjVw%O#R~s{=AoiFb(K8<Hz4zQUAiX!l0XxlgmATH)
zspF&D$%i7P=^VjnfamD8gsSF1l}jVVn7+wag;_D(7h$R|(-moYObQ_;vh^fpJ`yty
zyRL-y^~PK)z&~S4LUz@s*mmZ7LVu66kOOL%ibAgm(StFFh3T!9S148eC)?@5wM(MJ
z_VHuJYRYOK_elHD#JMCUC-WmQ^D!|K2BIkn{t;ug6$AM}TM~UYkmJ%ooOC?wxJ@kl
zYAge{-xjeEV3H4I6QiYf0SkP|aeaPCvkCpSu_CjY&_mLM(ouLG^E;`BnCawM4SWV$
zObrQ(((Drd4Pz-3i~2QN5`DL*1Ja^+9Y}7_=`j*HTuLBSoV26)AjsD9kH$*NYCR*;
zdU$;(Ry?2|m$(`zCUe4QG;{H<8#AvM&EMLRxSU3l-qm%<Mq^Eojb_u9eoZ1{Mw4D#
zrVO_xn3>&ZG#P^R#>^{5v&NQ0-;D;>vT>ll&lwT*xhP6P;eEqHC6bydn6ov*eXp^&
zS$zau;>P?U7@=}v)Dwv_DCjCp%4{S&fF^rzw=ru9n0MNeNP}sSjg<*qo+w$6kX&$1
z(1L{If)_k3NJuW0+Gfv!W$ZU!-ev4{$7_?KRIlfz*&mM9vEOKHDf)guB5K#Me?qs8
z{W{}sRZRS~g2ZK<h0m$gj<yB6n;$S1IHQ_7sYSTOy1DQ78GpN??(eoGA$!q#7_s@D
z`z{vy9aD?f;fJjKUo~bvtM-@hj>g#H^kUuO^e-7RpaAfTwj}xvzy?|!tAs8mO2{NC
zJ$kfZc>cy%w5;%K6l-E3Z<=J$V%?hcUm5eGp!MgrB>Ill>F{12ilHk0Ij`cEYPDjN
zFKqI?S2&72R9mttyqG@zGC7NzfAVZ2gICW_c&?07oo_?D7ToNEFimPCvX&;_vV}v~
zLyg4BLq)<Vb%~mc@D}S%6<cX6ieg>^wj}y)UK<|un>dypD=5xE+E|6V8I;w$9&H%t
zy~d(tcLviTZ~21YEftS1KBk#k?Kb8|L2IWii8NXkL9C2}IbgCNA-R~b^=d&J{2iA!
z4&IJirf3_a^9b(W!4A(8E*;V9HFr3**nz#SKa~s~%0C@N$2DW*^u|bnYop_z(?!P>
z<8M_=&KD#sqGRjD!p#rhw8cif;zGe<vBAY{-K~<FI<32RGw%LxGnPH0#yeYbCCQ<1
z+u#t{7jPKO$d~G(=eHWOq`>jKEgZH>hMOrSOI`Hj6mauIa<uN<jM4arvFO>+puAU#
zL%3yd7)L{g$A^rWQt<e3TN2V2{wPB_-?N!DBhI+j!VYc6tz$_W9xI8M<~c+42gV|0
zg=#I1zGj~C5l;z>G>d7!XUvU)(eK!jNMmF%<jGN!d#(iu$;Ef{$5L(`ac~_+;T)1Y
zvY7k0JBfAiN$hENPP8j6T(^iT6qCbS$K*w}t;N^OPw=e_gPq%8TS5wi)UxQi5=jx=
zut`$Hj80>63yhgmOzsL>5`707-M(3yXgLL1LGUL4s^S*X&l$Sgj72hW3-q1&7*8>T
zH0z;5#=Iy9-E2#u?+9%<<~6D~y;#IPRjlivl+i=AaC*6XmUfKTX=4$yB6fA|9P`MN
z)&!3+<TQ(tCyaSgkbB6MMBkAcI^<7G;8Gx*0~6>+V0Z$HI9>yLUYk@_MLR{4UGA3I
zUfU*LVpQA4;%7y5Tdo-LpO51^CHT)r`&{GhQ!~$P7&E9qT(c$7cZk<eI6PHDUP6CS
zh2}ZK_C8~gvck5OFNGtX!s637LYj5K?=t2^L8xm>qVEXh<sn>H)~(fB{*?a|UoC<>
zC0%srU647-WKT4Fmy!JiV^w5Db~tt*7uI~^vd}^>%ObOjanv;>#y@Y&r-J&=+LB14
zZV?8{NSad;79=DW6Sh-=Api92<;_1ihdfkI(>Z~yhBtTG>C;i#>0gWi)7vJ=t4%w7
zMwfQ_rt!Bbmi7%n!XoWto97th#XnlhaD|qWo<V)goqzMS^E07Q6pVYK#1W^W<io}O
zD=(JMSf<NnY%pd;(fV3j60&El79{3<E9D^HLr`&!cy6nWD!3Fp%43FSzp+3W?H};)
zJpz^dM95JT`7YC~-0m}GMS<sKwj?scW1Y0U=0Mx8h!S7!Jv(A+eMzWhZON#O8_Ss$
zwQF+Y0iQUZhx$}(0ZtB|%XDkGW5!G=_&qL2Tt=t1@`NjnxYK#G)HBxnn~jCcs`*uj
zWr&wR?+In=yxAL!IZ@R8?Y1OjcX^r-oA2E0^`nL0oY+`l6>W<u;Ev!%Dz!dWV@B=+
z#=>Sr?uJ}5<Tln@=ya=q+nC>5p!0n1H)c(N@`r3mq@lEk8fD<g{nvto<YJED(c1rR
z7;z2;8NC8ecFt17kSv|iw_*GFBV!F`wV#d1%!Zjg=1qxaG>M`w8uOzV&F2M)%jj-z
zdc<$GvGe#T+UkN-4=zIVyd5cEl9*(Bg(3Ri#wy7Q(M`GYl5<f<F2=?rYH^pXz1!kn
zjQLX_`=%`k*~7lUsL!{{&hcG_)9#F@8IS2pAWiy8#iW_uU}SH+u3xi=n}Qn*iEqjo
z#Q2VIj;)6*JGM~g!LK*wPeJw?TM}txE!?m4;Or7CNJuXF<-vzWDw8#2`AbuLiNh!s
zZ^@6e>vHx_{v>5(*<WK*J7bJPRwuGO=SC9nJpn91zFns~RYd+mc>aXFX%fh%j9FBy
z?YJOu8D0O)loviYa^|cPDM6eCpB$8vzCYtTj9bfCDOqv5MdXhQZljftco+EfcK_Og
z&Ym>pP=T##OG0+fbBz3ayZ;+|;4AkkCb7-Xo^gGzvB+6*-P#LRxz#W}q-)PY`%Yu-
z6inY`OQP?XZa#>kM{u@q5Ud^bt3D2-E_$iM`+GNI1V3dgU{(aT;LeqRLorxSg2Oy>
z7@KoxPfPoxF;fa~pRgs-ci{Gq(rqf9b9x3RYoa`uuGMMPXdhn@0E#+cvG9sALfpqO
zHERHViL}@RzG|$htS0dCTvN!JuM1hR=2Jwm8yzd`7GVma?pQ3s2ePJSTFDNsnPz>(
zm~+KWzHCb(Z6_9CnT+gs#J3<Jx#(A9cimw+Ewnx(Y?7vh4<6bh!-V9xF-KcAxAoWe
zYr1fK4#f+^tFS5Xn)i!)WLOY4C(XL@8e_f`V_GFhT*kodp4jFB$DMTHKdQB9K42hP
zbrW&7fKS{9uRYSYb4ipK*gK6CnAMNmn~QB!$O}31kdya^C!=!#J>PpD9uOKEZM540
z_Zai70DrqJ3E6-1Y&-KE`eCm)qaN(;*&!zUTmvE$ne4%HH)pILGZr{2)=ti4j>B>g
z5j+Tn8Tmvv*3I`{Va%I?=fk!n(s)|9bU7-pJFy@kx#-uZa4pjPT;oT(oWyl;G`rtH
z7ht63__H@<bLtrDJF7Wen<I{dS0GL)izKpLv;vTr%4=#)E*f*C7}B$XM9&dn-dCDe
z9`c*G7ao_nxs&N+OX?YG{wIxP%&PfSD9DTR5_7{#bZcfmVa$o5?H{uxAv?^E*piUl
zmNB1)Zfik8a=|qy79^xD{@%6{hPY^tm!G@5bw-85)uuN!j;U2}X~8}m0w`|f8O1Ca
zA5$PiQ>_zjbw>Qb9_;W1c!Vj>!FkuX*r__X1Mden<2}?CFQTkQdk@0rqEe;*Wo$P3
zZbT~6mMZ<Bu2ktCjK5XsGG7xUdOE22KgIEek*aeF`wq|h-ZYIHY0#4K$egX&i><q1
ze&!U4`a2Yk<Y}KI@k^tJ7Z_Py2`>k9UTx5rGX<iRwj^Xv9uOqveY9C}z@0=|XEKRd
z^eJO=mofVpyGCazip==?qp@W`7ZC0>=0L$<w=Idx7+5c!qqt8fAv}LL6@ICY8I~uE
zCCUm5)&2>N!U#SVXAS6zlU`-aih|Fhf<#X@Ht&{yAgE26q3d#M(^VQg__Bn3&cPCG
zJqz-($G!6&3c2|L`oxqx*=gp3AOrh4V{K*y_CQz#MN;P>bw0YDAzuiD7PGYq2`xfx
z<X{r>b2)i~CFuO+YmK>AY+=ThgzT&5ZAr-Zi!Jh!;;%WpwzbDtbq42HBQQdG*=x2^
z{v!R5jp`%D3dw3zt8>_?32tc7PH+?R<(ic5hm09f?BmA;iOc6J^0ZRp;&gu}^wdcE
zb5f44eq%I_=+H2Hm%;iyV;yA$D=*e`AWJ@U@pN({&HRJ28hb;j>+HW{%%}q9Z`qQN
zo&7VmBxGl2lll+Y*{_q+8rM1CH;Q5_-{Be0c?1z{auB*E-4^@zqLyr13!HvM+Nf?0
zCSa(t9S5V>v**otDEa}LF{hxZxwyiZDaDTdk1&FsPGSD%LHi%X=>{lvJddO5eNim4
zBVJC6j^vC!*+y3@=DkJ($F>~A?9@4;J<k3TX)&@l8!IuZ*Vv!)Ls|0^ENi?L7oz5y
zaZ#~O*la~R!xGr*yvSB##ufB$uq7eA$hCsRya$@Y8Z$|j<%pG?k)kX5Zn8g{zRZU3
zkg+nd8p5!~5R!E|B2nuWUEvCn$ZO6zIBLwPg8U&{5`9O02QbC{Pxyz>FXG_e0OlPC
zC7OQ0iK_0BxSPGosMm}Ykrj0uZV^aA^97M&!%^}KG2#fwp<AOJIHoNPsTi}VK<?X;
zNJDNh-pi1I2OJ9$l8ZU!2ez9Dj~&HzX+E6;5W=;O&8^7`%cCvNt0PoLWoNU1W;??{
z2|JdfSA%CsyPQ|bY_{KT3}#ldJ(j~6GC~j1Y=cdW;%4M#pax8Eg&Lv(3!9yzH-l$!
zPo^n7_+Dcn6r+BhEs4IH)Aq<F4nzs|_~DzqiVzLnV^jDQV-;jIh3y(sh@Y0Jt4SO<
zrdd(^v@wec(7#|y;@<`6RHzc*p7aVjpnJT>K>tr;6<i9?sQ@LwJ>H`=_iO#7F^dY&
z|HGC<-+|uxild?{??cL&m(G+fo<umy3k>b*8~ZiA+?u;EDaJEor3KT{Nr%H+9Mfg$
zjrJ>yc~dZ5W=o>)n68#?7$?>?Q=9LUr;OGe#^Pk{h=aKOdJ_3SIyNG89OA&S0Tr8F
z#+)eF4BL`OV`CB1$*_>uV=YKXF8;=LRhYQIvi<XyciDa~Pi6d~hYPrZg_6?^zgqC?
z2q-CcTB}kp8eMuabo$`P_Jo5ee<fOouNtGMH%U^0b|L;Rbqn$5jK5Vezmgzv852-<
zJV?c|#daZFsybMUu63sD)4^J!;Z=A$Zg`q~YOTPI1pAH`j8&EqsLtM;FC`P}QH4md
zpb#vQEDG9VYn01%Nv5|Lv#TKdoGl62wcpG}GT%j_YvWks1geIg+C`#kz%YK)Sg5Qp
zuESb`#A%ATit@nAbqoC;HfBZv>4UZ;GJ|BjY`5ubZQ5-V#gTdrd>~cws^{_bY{hte
z(OAB$cx}$Lm_O0w>IEE867UxTO>-RP=Z!g1K>M5^aT$H*wP&#rB1*pDsA5{Y)Z;OG
zQwHT<j8%{ol<UMcI=M5FIn^Sg^LpPjW=z568@425hx&VlcfP&e=0~w%nFhbGhJ*SP
zZBa_Z7M<SB7`*GZ&d-!Zi8ydn`!sWy59=+cR|yW|T}tN(uQ6sy0dBJ`iM|7O?2zwH
z)^Mqu|CH!-j<~ed19njW!@~s?d)CHVv@Hg{2({^9R7pD%MO2vzXy%nNo5w+8HD>MG
z$5CJ%=|MPM)&ndg)I*;2Kzr_35A2&mJ)mWzhlE9G-1Pm%awrzH-<Cw$qAaFIa)!l&
zg#`)8MW4d34V?8VVA?~j2xE*oy!U9sw$?IMa8_H}nBz1Uc+2+~+BL;GPa5;1*i6-y
zMBmXmc+{(*2DpJ`ILxGQ=SRb9@ob4^PdN7aT(De%A*Nk%8_pwcrR~vi7}V*S7<y{e
z<VZ6w6xkBqYpk}cmT(A12L^Iu3vXO*F}EVQxfTd_9|^hh=SglV1B}TX^ER4#j_)+)
zUa^~Z*^=nH-K?j+O(xPT_~-mqzJlY?Q-+{#!pMHgSg@?fZpcy37S$MW&SFq$maaZ&
z%#H%pCu~V%hRS}*b-=~V5{M!we2DF}P4?SOy;?D1Up1C5D`J~bX<ax+qdWN1U*@%3
zw+!_aV~!NizAQ*w#wpk82df3zrh}brVt7nKpgd*OFUs{RHXlTiDdLBQM7ekXmFwnG
zR~hr7DE;4Tag#mee=~0LJ(miqh7ph#DRxPMlYYq9+-j_ktlc6kDJE`IXf$<1+l*OJ
zpt;GGMBkwq;2SwqSmF;Dl2gV)WQAmTaOZ{!hi0mA+?Wjojt6Z?q~WlbC&;M=J4p)?
zl8Zh~H3s=Wz?N4iRsAR1>8--*V>Xc28>=;|fvgFR`ipTC3p_L{?9Ujpq8Q0jwj|Q<
zSRgEogcp7+NJuU`ksx!+d$2b3On0cf7eAlqmS4s{?&cr&@Q?lCN1%&f#qZ+fUGZCe
z(rY&`idQ{ceAhUa%)yku4hGrUe$E&ly|s~e+O@oI;;RBpe0Fj8tsgi3R>iP>Mv%CS
z!O^uxJPdV6Lem1l>^Bq7-jo&pC1Vw2RD9>U+(eAie9s$$SL!0DFBr3>AoKgSBxGm%
zT?Ti)BdBW+;&PW-1t+>uX446}$Vu)Z$#`n^rVQb?j0MdOAzj@Pahk$VhQTX!dFg*O
zW=nzapKVF>9l|YVyh0mGmMB(W!`6Ga&MfU1yxdLmGi^~EU*~Gn)dW1IfQv1FuhebQ
zb&PpZkh{*7MBkCy6of;#8CTSxXh)__&sL1u1IFTI?Q)yL;E4F6eYFvPQH-=wcg6Z)
zV~!Ne4%m{&jG1+EW}~>;v*OO+mRKAhSn%qoXQ?KmiB7LZ4B3>ibXg(Wl$)Z9M+JBJ
zICn9`G?~w`F+&PslY+!$3_fn*ijn+zzFr)scX1kABstvzwy=o5lVe!cml&rPjn$GB
zr(3Y6o$6fz?s2RfbI%)*B=d3Dbg@atm_r4)i?$?WS9_MRpYPaY{Ya#UUYF15n=pDm
zV=P!!^fu(Aed$WMR$>#8Cg1Z@#tbQ7{iH34G*}iBKRI{gzHUK6axq6ZYwewB`O=X-
z(22QdXXwQ7)5!|X&fLw}mj2vW?^$i>dcKKL=e6@wm3lm|)vSa3cVoU3lloIZqNn4Y
z_pPP(iqo-B20;rPQ*<Vl7_D%KAFXz@tJr$jXkscNZacr=!%vDk{B*0*mqv<_U2=23
zg5G;`6F3Jf4@qgMge1+gq+;155|poX4+W)XV);Gh`L)M~E;Qy_LH<fx60#eA%hvv+
zGhzGt59v$}9r7Cf`LIx#7QN`8$vO@&6*fsFQR2b^H|}v{)P*~5i(VxefXoj`Hr>07
z@yqIz4(E!2<ib|Pa$ihxQ4A)oJ8=1m_;kFPXUStWtl5>e*O-09f_DoNJ$={wAD?i&
zun53^9y2ytO(&m)Lx@o7)o52zC46%=W)xp#tcI*8-oPj_w<59xw{&C@&OjI3#_`cb
zmya5=rXY0ImW1>%-^L)%cXYY;0P4}ifmwbFL(!xM<urCU6Mh4GjFrCb;iL$)bjFef
z1OGZ>)no;JZ*Dx0Essi%P&OQb0nxDa9c%aT&K!xBFb7Ti`dVX#6?2%eCDC_txZ#LT
z3D6|)sM3wJleiXc&eja^4;zb{6=EkhLHwrB#8r_IzX>!o%bh=9%$tJd_t}!@JDS^L
zH$jn$K9C-}quTW3@NDoNBm5a-6=X&D)?8EG1x1cq>9|sc1lF30$X_+)Qo;I{Y)PcC
zwutm(u*d_x1qsOo&pa(iNG^Dx&4PsF;-_qv6Nn4!mVC=XEF69atB2d)(51E4p+#3*
zQQBJGjvrWp?KM_fPpd~x;Y^q*|0yvB@=T4+;GpGHoH5s;4U{yKJK+{eK4x~usko5h
zW?`Z&x}Yu5&&uBdpWJ~~-!eb*FH(qhwRI7c6j-xdZCzpftxAVjCP?(eVE$vz!RQ2(
z@OY2Jkfc6l1rHmGs`pTef^nU9`Y;lit<ct@-Db>+qV*wL60+;v%)rfi9~q>jRPREs
zRHgcu@fkIiC_6s1Wa?eer6`x^5|pQnSyAvg!OAuEOtz;6tsg~IxWo57(c~QGuurAd
zV)RYkeZ>`5UP1pc3T<Q2v!bve*943C@JgzX#c0R|61urp!<Zoji<&J7*;gvIB;;Vp
z7I8^~<s3cM)^@gxwlIaK(v{GUIa<#;OFK56_Zw>|tMOb77t1{6LmtC}pW?n&6W;%j
zF;9y9e7`LTX+Ql!4z9M`MjFm@!ZWWNJ{Ug{W^}gnZpX;|rm=|Gk%RMP9_5iQ0gti1
zuL;(F-Iyl@xnHp*(RbvA&Um;^S#E$mj&Kp1lw!xgjMgf&0+0kU`)iEr-y16+E3Vs7
z$`VQ-HppV@5hRG8EZPhth{3E`bN@SI78RKPr!9%T!+hJrv=2*m&cLq*ofK<570f1h
z$vcI#(VGnRhHZVCLUeA+wMh=yfde_hTR8G@F=B9QR_fLoGpWG6+LlCSxUJ`hH;%Sy
zNG#)&&4O|mqcb#m^iXQuHA8#GcAv4#Sv#_Wp*7@L1-Lm`j1RDy<%^dYbEW`#hak~&
z3fXfSZyWI3aJo^$cqxwHN6ZsSA9d5D&z-Y1BlNhj9<n2ZfS&jjOHGpB2(1J{x*+<M
z#=I#QJz`5jcDhkp5;BNpOX+72ZQb?PoWS&^+G<ZBcizN4tfPmLW~6z}hVz24TCy6>
z+T2vY6CL!667^(f)@<u|i!m>Xp*$x@^z6*@pATAk=ESI2k51}ae#~nAu(4=a)x0d%
zm}-ipq<BYMs_Td!G-g84?+0v2$d34ahNxHO$JVW`8aXs_!l`kF)N3T+NIzsyK5r~c
zR!~;cvDc_NiMWY{B};WlpU)YyqCoRmTM}t#EF7Hlk=y|-NJuXFG+kYFx<Lhlbizi<
zucrdu^g}j~MMM3HX;<TF(tw-1;3j4un&U^WGG;_EkAJ&#^XL;WTSnTg8daDToT5K5
z;n5}vU$f3XOFM?^R%0z??ax=|+>pn7n#UM&n!`!A8S|tdcatrN{&%S}UcKTLJO@{l
zpm;jvb5jo)qf^GhWW@+OznPnStwE*S@!@c}dTQ)(V@4EU9<(LVe_(j#PaTU=b17g_
z4;h%2u`t<z;rTmtA;C?o$E;9+dD55>1(>QWiM|7K`>2bR5>c}_-o{q3+B6>&6o$&t
zEKr{WH-DYMeXp@XvVyxShl9sZ&xRt)JS0NLo8}{cLW!bzqAq2=QicCJjagOTf0r$Z
z%<x;!)AryblS;ctX}Q^wHR5hKeeboRz*g`nW4&axf;;F$6qXB1Bw<QJfu1cx=Lc4)
zhVV&aZWTlLgdov#HaPF8o%=_TP^II(hMG9>3Wce)21<CNwP@<@+r#xyC(-|LxzAC>
zQC~Va#{DbCn#_v(eL1YClEiry7(*`vj+VNGHwe~)limT-qx4X)N;hTwvN7w55&V%Y
z3F!^KXiGxQi`W$ZW6g_($~#a2)L9Wf3_KYsBp<Ogt=UeKB7SwjLnE(9z9Bw|H#8AB
ztJ%>3Owsw}`LcT<9_y`EUCAoJvc(x0f3P?#O;~PALRt||pG@=-*s`=DE_bpZA-Py=
zyIe(F0Qa|E-kP_Y4p!P&bf-#cQR@G2wb{nz4lMp5%NbU<B}}lqG6L<iF=%=VB$>5k
zZR_z>0Z6i}?S%2SDn9EWLE`caT<Z@ae&f9qBXu}zR1l_*1=2U+o?bJSIHR6B8*mUj
zIO83;lCx+Au|hX!RE*hC0Pt-|$c{E)OG0*cHiJv*?nf_$3v~C+<?Zfk4qw1-espf!
zH|KfhoIQ6W`}Va_-~NEHV0xP)0aJZj>Cx{u{w~F!en^n$*`w!wVPaXN$%F<wvCp~l
z{<^Vn85P+X$ax`}T}7wAV*Is=PCso+LUz($U|8mRF=BV9d}r4_C$<ZM&gQPQo6hN(
zRtXn@d)4zkj;)}TyHq~fh5*C)x5i4z3g_+!&ipRK`{Lf>e7lY_euYr^x)3U#5K4jl
zuZ`JLVE+qS5`BmLo(T5c`>?C}90e^i;SB>tx8;fu#=B6j)I>nj`xM|yqQr(Uc<cNu
zUMLQ-bB{EH-Plr1V&+NAd~Ld#Co#ov9f_Gwh^bh_N@G41ix{va(RYiuJ+g>Ba0K-V
zb~y?=pj!#(8db4-wSm2$WGeI|>8#CPXYB7VR!CMSaJ$5QPrgY4G2+<GN&@i)*FYfg
zMD_f;jG0paAGRft2HYaHlHnPT=@uj;7vFE|%Yxb13;)jH+1`Y`mT!&1vngYQ^cF}0
z&J~`OjlWAVs7XQMGKOckK9d7oiV(#0cDyw0MG;eCU(wvnx#M??RgqEc9Y=QjUFhX*
zWkxWJ8#RM~UG3->jhRt!dDfPM>|$?XXy-e`yQC31f$b$xV%R@otfs86&+l0OA!9xj
zi}-O{5`DJ_^T9e{2Ij9b_MbOaNLK9UVXXh0F>?ywpS2~C2HawxmSa5+5EdjP7e!k^
zg0cQ>mv^kc6`8<_k1XpUnz%$auu{aD-eH^!0`7`}fR(q+&lH3tpDPF$F#ayZ(v}Dk
zmoW&4mRHn6O_Gner|&QpQQy-Qb#_)p3o3$>Kr=F>z1{em73JPyOG0*_9OE<JBl((e
z83C68ws28VI`gf0&Ul<Q7AY$pYjfgeAevZ5JSm`@F#dW4l!t6d^c|FIPd88q_+*>5
zsRb(&bo9n#qt>pb>X~M5%22h81<eZ8b*SWwaVjRjF-{fKo;2n}L9J>_A~R~%^)2Ek
z#{zOeP0ztjBnOB5JMl9rQfbb)n=^dxF_t(hd^d`dADQDkIL?FPe86#@PSt3t^O|=X
zbE81`PC?=_4mEjfvu^pcHH=Pmr0HAJ=LNr@NL>`%(h(wR7RvBlhU{mJm6R2-VcL!z
z%ED7o$RavkToyVjTgakx!H*fUrr`I}wj^X1{0N)Ce2->>VQ?0XAc^3tqdsQ1zHBT|
zR=C#Slx1-s4c~T$F-`4Je`Nga3L;;$C6PwNBF2}~1n$=sBqSGeL^;;3dBYhRP8$g5
z&(h65wMuQ$Plq}^+OUbN+|j3KzOxaf+sqr1$T8lOo;zU7f?_921c}S&dDjGseSQ^g
zt5Q*R)oY%!zK4y4&Dtf`=7P1l7*C3>Z!`XSMb|^NBxG;6nc<pmFS+UArZ>^XWrDmA
zTk*#mSj9|thn}q%pfkqeWd&$6w!9O6;hL)CPl4%_F%t?*$8AZZVY2Xh(sgpjv>+k5
z2wdmKkbvkcK^bzZ;d$M6b+xCnWxp@0vlww8mgu`>F>zjkUxleW(H%P3S=vOYRFO`d
zeYT6gS{{{7;ouDVYgx;?&>FARaLd)RU9Yo(YoxsizXC(U+vT@F@#PNv^EUkBb(T)K
z7mB#bqSSrp-|$~&Nx{VqLR=Nx85|kMM34`<714FKGth9S!{_BL-tR1&tklN47dwkf
zezE9PyU%x4245L`aIv$r+MXK6bfwrmhKvf%gaa$JYGtPTJX?iSTlqbx_d8jBpZIq-
zofH>n_ZfUuKQ%fKMR%;l#W>poC)o8+;g6B_etZt?9ia10ylIMVqc9i+MmP}<XP$_Q
z(`ort42$AIJh3br9Evhhne^ZsQu_XgvA$3I<pQ0;%im1`{CnwoDUOS%qq=ezTW|2!
z?!;ev5`Wzx{#qBbjK|xFW_$6M&f<TGr2Q58=hx_;&(J@=N&oyd{+X=<+$s*NkDXA1
zbL&Uj^?D8G9zMdCj|72lGX>S}gR)uI_zw-$oe4d^tcRZef^_;<bLcdW`^b@BK_Svv
zI7*xcbGX{{rf_(ha{}iu*NQwpJW#7)+K8w<>2bdHpG&QG3AGMj6H8ES+(WTf=AqaH
z_-8g_-F(PLO&4j_MS;W&oJ_Het;giZ6JC26==>)#&AWvTmxVs%_T-=JW1^?*WTHRG
z%jg`&wWROs=^uyw*-HQ1gnwpJ|As@JSC5LrLt{?q{#FqAPoVqN(fT{p%c5MC0*}S9
z-%}09F^3I$IqChR<ooEK5&GvK{+UhPH$94PuFRm|jq3E>$`0BK9OP^x?o!%+5H!uS
zua8$|9X>5$$yhil@(C6sWH`FeHYE`(_`P^}7yRx?Mm#&52e8(M;A@iNrjbU&o#6pt
z3Rk0q6Q?7d+iEvb^QQ8VXa(>baBh#A?7Y!Wkw_J(6+p2EpnL*frOb&+#^0*Ui9A8#
zGNuWV3x0{pfaD{dd%ne3#EgnfuLVY1Ew0jSwRp~$4Mo#$wk07u+8Y?G`A!n#ADp82
z(#4&gC&Wc@VqOqjbyo^IM;*&j?qsS9bPV5RP(N&}imadx=loC>RP2gN@4$a}@m(kj
z7CZu3VyJ8Gp!lFMp9<<9uqBZhb^Ao=0k?^>NCL>U9<H-N--coQys>OqVceL*QCfZ>
zgm5DCzA?Bor_g@Rm>&hM&k7Pf-Qm3Nq~_zIC)_F8Eg_I7q<fgY2_x`LV~MjO5F8}U
zoG}i>SsVbJpZta~Lka|cZ%ab<n7^|nA;Tgzgi8vG`sA$#PqwG(Gr~o?B3MZ+d?}CF
zRJINGDMG=?{7AOdXT-u}z){RhG-nRqWXy_UBsbcUkVeucc((F2%dvqpNZXvkc3!dg
zoT?4T@&ZG6+*s(Wy*(FPzN`+JHOX}hRLu#)4;nM4fO^E1L}pN}$IA6b-FCC-yH)2f
zox)ocKqfn$z6m4uq_JdKk=u})3^>bsG0tLGX^sc38ndHdbxx4Dd;{h7;}1JX<JAz|
z(ShEzD&Gs^<H`xD!NJT8_acgbFNuo5dkodPjCGS0s_nT-8;1kMWDxfq1|m=y2QD~d
z5#sRahS|3pGpPXhf-MQz+1_GHLJqTRM)NStT9A-j@FduRgw)0OrGy;VfByE%n*$j-
zOAC0E^9a}Vc$o-kkaMVJqq}lB$(86$<%gq$$Cr$;*LM?=JC*PVOjTCpe!=*=6l?!|
zLE`ectJOiSa5P*sO(Z&$r|f$E*;vkuI_(VRC{tRQ!4}nE6<1O6|7ZN=ijx1)mW1p^
zU$-S8J2OLlNuBw3FNF(q=677)&V27-+(Sfr>uDIosq5qJxG&aY&eHYHJXMI+gHaZl
z*yxb#;DxAz@7g&(^99mHs)LKstz6b+G>479Rk6a`1PSx5ZXFwLIfPSPQDG#eWOND`
zt6!<InWY`~|I^08>-)c=^3K({BJ(IFX-OWVSmR1vq;bNSCk2p)W(Q>cj|ABtJ93Z?
zZE&&F%jnSUoP-rlrmPlFfD+sTU-X-WhKKuo3OK+$(IGmQNQ;4O7%MR=u>0fpN<^{>
zl<5{vk`-rGvaBN73`NZgQRCR_(61RYuApDBB_Rg|pABff)81?0Dlxllp`!}NdFV)L
zX0B_%fPR;;P+0+8hiw)iS2QK47bjv_H*`_msp?&0b`+T2VN0U_Fde>7N8t<C?Voom
z?R0{4t)>CP^z+6-WrqpJeuP}%WEjC!qBm*s(?4s>jsnxiY)SMTrmg5rQQ&b1J1`nP
zPX45#n<MS2C<;mSt}HJwjDKb<bXFL1)Z0R?apJk;Iy&1k)%!H*%s(+^Pl5Hn*^=lx
ztQ$^v9@k@H%oGC*29q0;V`Psu4Bq0~`xHlZ*5{_cn;6w3YjTBxe5EE&xxkno1+6P=
zN%S49`;h!cZ3^vuBLCE&@+?dXXfHE`K2l9PqTOngG!y`%+97#wa_5q%u?5^_tgfux
z_dZ&AV0m#qM<j0){z!SFt!_eGvKb+6!eeU^r9;N7E5>rOEs4Gx%c?W5i`tX}n?b2`
z$~&hYGL)x{g~<vfZZ#0x<bkN*CIOA+Mzj;gtSHbtWJ{v&&}^nN(F?Uk!>e%IGZBoT
zNypo}8N<~!7BDMZTf{{nF%F~gGU<Rdw_i1knNonO*^)>DXOSh6i6)-cT9A-j9JL+y
zB^R9TxFjxyE`<xEyWV+u(_QOD?iwCTjB9k9JXLMS6RhP%l*am`v8m|00Lhq2V+Cd@
z^VFX({w~F`|BE2eGkG=txsr_!V!K`gRol4Q#;;D)8c6(80e4)TonDRD%lwhC*cnya
z*@WXdLhkZ$?iAI3(U=EC^`EyT@qf$v7BIQ0DqYCClXQ2Uou{ElC8Ps6Y0`NRl1OMm
z8bT5h)8QqLwz}$ccU7vZntF7)5hQ?w4wiyaj))^7a8W@W#Saxn5kv-*QAY1LKJMtu
z==Cu^z(E9+tK5I>wa+<qYF8y^@ASd@&CU0v&)%obS!b>Ful?S8Ew4C#i_shFiHcL)
z#hMPRLF3pE_31is#xjCq3~)w>&<pLSx3BeM7W5^?@GsiJ2gPtjRGbw<5w&72_f{{s
zhi_Hp-V)p^n7*pblY;3VOi6@}sTYV1tJ&2v8r45CMoZU>%}7eA%1RYc+L#*!i<7j!
ztzfa(ltf@GjA!sC*J?yc?p;=Yr#AmVi^!BH#R#EBOws!`?T;#YKU<Kf+oX*7md2?&
zGLd|7U?7$o@z+R|Kd?&sw51EG(rIWpEQbq4s|oGzDq4-1lJKngDpL|(=Z~>HuFfB~
zSq3CLF1XWTK*H0-!=@EAae*%A9Y^bej(xAGVZVFgxw4~_I^^~{KdudKZPO;fj@9q{
znD)06bAG^-ga_e$g2b3tCu?z9hqt6)Fl-OeAqDnggzi62OkR{p(k3uEfQa?)J^6Ij
zU+)-E;0o%S+G+`iVrgAeY_+ipS<8_N3w7jA3LbuVQnTpFMGHY$l1r({p4Dbhf&Lj&
z64lTfQ~<K{mXB6?>spj?bKgOma}aW4Q^bh~CDtjh>xm~x358XWUGN)2ex!Jq=?2wR
zyKAX;xuyP9ZC%#37gETvO8p<SzokI`dqJXZ*I?}H&6YhVsg8?+-eeA*;b~)%zr5Ca
zh>PUH_Oa;&D=NllGb_2H@+P>m1b0fQo2Si#qWU?eB)n2LQ;?`zJWK<O&vy2#Md|@m
z^9e@hEN!s@767dFID6NQ3e9G11{7#Envw_|n)$o1<V?p<#mv_>Y=$mk@V_h8<1aw<
zA7hYuv;_<b(gOJNWDdm|3~hBL4%6UJDMa1cTqsCgVM-!&q*?&Z02=T(Pv65;Kqh0S
ztJYZRJ;W#-))p=(O7jqGtb#ks<xauqCT$)Rj1HNS2pyxwZS23ZQ%rjLi%`{XjL3u9
zq69^x35Zay!{P~8wXl3d`_l>#_nVRk9f&E;guWjG?>4Ldo7w^dReuA|QPLu)QUspW
z{;Hz+XG}?iuKA_s+A(r{fEERoM<IJtsK4`()&lkopz0d3SNbst@&cpvqPEaM(K<Pr
zaJZ)OVmVyHr=nz9Mezk~ZWI)MZAv0^6y1r+%DIT@>C2Y2VfCAjGJQE)`=g55XPA-*
zUF|dW!3^mLP0h11CG}@67@M>O3R*B`!o8^Ah>np77d2`@I79pE3L@)FNra9_ooTsJ
z#eK%$Ds2&hVlWj=iQ^1WYR+3AzFhmWit;ZtB@w#v7dgctU+jaM5Smh{9o)2Z)F&CB
z8@0s@3eaM=kW}y~#`zY!N-2<Cug!=8*|nx5LWiu;7kt3q(pUY)usonGN>EsuuoJf;
zynqVCecGQ^fVjt$MCd^5+MgYynMQ0_B&Vg=iGis|_^szr0U|1Tj^Hu$*K%q<wxrn%
zzOJpvpk}ZuS`eDRT)5B#c70&8CcNIu@ewvZ9FIr*r?nYZjOeSTBtkbL&F}@j&Z6eK
zYzEJ3t0Jfw9Czr0Uum<Z0R0P75}^a_#x`&Q`uJ;Z^=F1_*1E7p06{_@G;4odL1elq
ziO>;QwS5>qxCd-_hh&H5I6|LI<8&c*uVpiRxSb=v57>>Lu&bi_=)KBFZqQal(1N!L
z(J!SWmUPW7B(WSpuv+N}A`$XBxNEf;Q$Rl5ltkztZ(`3r+!Eo)V1^G;BkHq_GcjUH
z-ib-#6wC;%QD2nY<1e7cLx>IF&Du%|Y5<$0Cm<=Mm6egMrIcb?zdFtdEm#+mHCCrD
z(PmRIhyA7`LN|vFb92Dyn{1{~waIo2=&^CUO<QF_jpJ-{<DgT>kXWfP-m1;4Vj{z)
zBtkcl8WHt;y{;O+GlchQixd>XKoR#or2TmXl)p745jrS-FS9;8{68@i|DY{MP$-TS
zjPgnCFDocKZb~9_6t;KlXxqI@G@5yYqC`gtQ<i*MaU@&Bl<ElL>J1^do*m02BCT|S
z@nAn1(}dWh11H>eEVH$0abk>UGVZ_BR$Wlsw?$(~YalI}Qj#5gD@S$<vSadg1QGg%
zY)i;49wX7MM3&Aij#wnRT9N)-n_tCR{<kTK(5+>`C4@aDM5;SjTm3z&qddo`Hmwh9
z474CBK*Cf-b@xccYMM3|3RY80NraEp{*giUs8J186;}11W31Y>MGRU37e))jBW?3K
zHdt-iY$#x@G9?i@So62%^H?=SG=m6s*Sb!mcJK0IRsS)D>SApHgF>|+YC9al!6kDj
za7(Mjs!N*-1*yHJBtl1OSw|*P8HT8BAeq6@{cCuG5xKE|cKoOXdxa6aMqBWp2riGt
zGFBz$Rwd`OdM`MaP<V3*2emm;&@7me2p!E89g$9o1xaNOn_y#uPy-w?lIKN=<?2rI
z`vDF77Grw1w)jCYZH>mPUXOpv;h(m%6aVP6@FIm;NI#&>lmhFWrX)g#b*|G-iADOd
z*+gU@o3PVWeUv)SFl1lR7A+`bbKU+)%p%?_!JCTDm$f-i@cE)CiO}&`Q4^oYHu!Zu
zXh#wVS(vdS$wC!kf!|^bf2J*dPz+D0i6LCMWw3w^*TTfUl`N>B{zRK41=N2xB@sHP
zCwFCg3kMOpQj8`uwv9P<te|34m1gf5RoiX@JkLN*-4NDbVQDlkc^1Pv=GpS|ED`V;
z#L3$1C?HNSB@sG^HKGIire<pV&LFMU7Aa_H3l=?C`|}DYt)?VG2c>RYU>`JfpJIUa
zX^R&WAf4#J+Ds@g?J^}1I!sH+hX*P<+KaevRb<;~r(uDC13qI@?*+wlGUo3`26=(O
z8`2g!D0n9c-yY1hm9yd&b8KNlZ%S~i)PH$xUK9)mO-Y1~;j+3It`ZKqViCI#_oEo>
z6~^%{ZNY=$7^#CJ`SFTb#IyqB`?Q%+fGnGm2p!0?;Z6<VdF<iXz@X!H_&DOL9X~lX
zfXB2I7SsSbWcVLPV$q|~i^8T@$lq&ot60eAO-Y1qA%+2*eylA}Py}lPa8eNYH|?)0
zi2SQ5iO><5wVT4OAif!Gyxc2VPJdNf>j5rTlg<chj4(TjUHpP83=FJ6=1Re3y!Q7M
zTuv}05f~TallslB_u0Kz0gP1*<dk0-l2f(i30hEQcphg5nI8p@71|$H@K`2Dye_Bm
zTT`nh!qdR=F4WfuhfXKKVma(p>%$pi5ing$5@AmpbuIlxBH%j=$xasO7C38Jc|-ZS
za%-xUzB?VeiVh?TRvKT;lv68l@5(Z><p0Sx-thm#ALuew`}@FB>Q4MAb+%oU#|gl;
zf&LU?n%kK+$Lm^~T*q=Yb+sk3@iuu9`$CEU-9}yl)~;Kf9308?lv8(s+652)xbXy^
z?4;=arImv8FRgq)$9qOldu@;A1+W$ai@kdeusr*REq(wNL18LTP%Qd<Q`LUQb&Ijx
zl!RBqoWmA0)~@v~+n<f#<Sk4dD_}Hpy(y9@#>pNdJ;{tX-DPL&TpwJtt&W_NOWM77
z6zdlW_}s$=zyY|lL#si%6RIEgmzEH}!$x$Ywu*xq(WTguZ$U?}o>-b^_oa#~DYNCM
z$m$^t;X&3AZ60I|i9TWV)9S$BdTk+;%JW)N5}}*g>^-@@SSEQ5Ri$KdWNm&UsrdxM
z`+&AsLE)Vf&ANOEm<3--EpVSU0}3?vn34z`n&lnN_M%u%wpftuUB)ivP%C8Y!oh6r
zK)z~GAmBR;-`BN84+<Zxt|lz8^+fP4t90hwa(GvZ+SA$`DR_R>lteY2I!&MC!gD^y
zy(I$@9v2}w(rNCH9&{W(gq4kdN%@s6<xkp54QeSfXw8;fF4gyo_=@(&6{C2`ltk!o
zyz!F$k;pFY;qG%gLfBe(AQst^LsJijl@avuupHlYbrH)++^!=6b}~IuwbSr8X))AG
zHik8H+=6w&ks6&oh>H1D7L_{PWD6{+XrNhCwXRsC&8T7)^G!*FZWhZcY{A*Juqr~Q
z4`VrwkQqx3R1G`>zQZt|qb+*S61^NpncWV(!@E_%x+PebV0a6OTeUe-@Z4fbB6K`k
z1K}CjvBTf@3jP|S+N-UAps2P6Le)wp)q)z=W=a9}Ev6(w2X@MKIi>Cg&b!UP+^Q`=
zP+%HxHjXFtRn6a`{Z&QtZ#N|oy5?KYqX8be!g78{ObT)9DDTA5eRfZ-YB&@8HAe1}
z+6oAY+{$PlOW?GLEP-hB<kW~Gfl^sMq|KFr>_<&WgpTayefGf|Jep!iO0G|PlLe8+
zX2iIifTO`k3@|&eOBIoqD0Q#taZzIYzpbsNp!jb=l`7>F;liYxwD*+dL}&s8U-z3r
z{hg`LX)~&r#6Oyn2;C%h9EVA)!iGl}O~Nk3lGV-*$B-_Y%gfp-3~DYrj>lXuvznv5
zc&q}YI{BS8*NW}@)|5o(wsV$jD0q_VIBS&SCB{~=@XW9VSzDb(MMygq^~yYLUKQJz
zV@l%xN830{TUkMCkO|RbVvX8M+^qdU1>lXQBti#x!Jfea9Y}HJw+Can*Z_iRS4S2+
z%5z*~d$dIi3d_Q%JcmN7UbLi9!J|@BcWbkufOUl_iO|71bq`h`cyX5;e^OOlZ{5p3
z+|qfG;XJIZgrIPq79|XY6v7cGq(Jycv3jR0O{s<PCT+eHd=HtD2p!)QbqnLs`e=dQ
zVq_oG7C$JmE9w{2WAv{+qRo?n>iwo9LPym?yb3!9M|tE0jod5J!n0SUiDku#D$Tdv
zp!qH%{7r3D1Vwl?wvGB^5rc70mSa}W&uX)#0R4<9iT{2;zo@N>pg>bss9mjnU(o)b
z0^hGqNrVpH$}VzgAw7YKU3|l$s1CuoHd<SRs+Rk!s@4@W-sAGwvMH?5&8aw{1lJVO
z2N=sBiYUuK;kI2FBr@It!)$G~6mVylk_a7K&5HE+E8$Jrs?aH$Yt^!OhV};)_|}<{
z2pzuYo`V^<-%4P%6GgH1!mq!}8|V!#k5_4n9Tci%(d@wtoM<IPjEFj`xGI#FYcr%k
zd8sLh(4kz}k>DMAxg4N$7C=Q!Tgb)W9s$$Zc^lh#2K|6)yvMNKsI7vau$~%?2^lP#
zWIzSW$L2*%>&SpOx$v(ysDgXFHd_j~*P4<D5nQ<`dBT1SO8vm`Eym;l!Fg)V6#tgu
zNmpRe{;GEWW@6`NWnJv-zWt=B2BP?~*g2f)!JZf1^*ioE%jB+K$)4C=-4N+5X5wmC
z?TY)AGU@DP3TkJwqck{%YOHq4Wky<q*KXfusta$c?>(j@{^|zx!!a_bpPFi*mO-`8
zSuPDqvZrTI{8AVOMcw)u?(%<ND!gYw-!&!iSGS-!o2fT`{8iFoK_`}4iz5ScR$@J$
zi#UTXXYyq;U*0G#vLx5CpnI2}A}vU=r)NR@QdkzWUTxH7nhNh(P?IT%zq$qO93u<r
zGSxsW3mP|Lg>#gJ+0(NimMJU?+Mrs{`KH2q7PQ@z#IY>sy?tLeLHtAaLmqefJdVj!
z9E$RO_)?u8g7uGXWUP+6e{`#<Dr%Y1jpw&YQ<CiInG(MgmMNW~n$q>A!h5E4ttp9P
znUZHHAz9F)V`M>3m};Pw1^u{vrL-W)o}LBqOJP~iM%98oYbv~FL7y=t5uye0A<gxj
za>E$>XKlwuauG%wG1$Avp{<x-IhT%7!hr=JslzdA%=!DrbcQr|!1P;f)dU?dZHPLX
z#Nb>Dj{1ab<akmz>lMq536jlSaKscT$)=2{exuEzGD!cWDT&YxU<!@VX;R9Msdt-U
znzJRWX=+67q;V~AplE)k_E#0nH<^+MUGuBD2Gg?e(P6@K$!R2<7wmWDy=Y}{KccYJ
zIA*B#DkHd2TM<DEnib7ElDNkY$>D)J`$gy5aL5||uj#;~g7SK8&J>i}O-Y1~a>Mpv
zI~PyljIqCfRorKMuFw`CC_YoM>)qi&QT}DxpH-B9u_=krmEZ0tKe7f9*lgY!T^x)I
z#d67PF)tm3MC{B^5<z~1?_@tpCIlGHL)uCS3TL|ur?rMAmTA8?CYLQKl=L%#6WtX;
zDX?Fs&7K1LHKrs&hkdgPd;2CF@IOGS2yn}f^Zr;kqB=+{Fkt;Noz00AhDz@Vl{3tx
z<D$fdaKE;if*QhR&k)*iN}t4}=mR;6)|p65u?FFac?>5JAJ*nmv531(NrY|@r@I!h
z78L=tR%{0prIDIgYHOY5sz!UO|2kv;jJ868Vt=}a{aQ;jzl=CFyVTN(CRg?(>NLAg
zX)~t){uNUa)qv{^=Oh>2`SIVcp}wgB36F~x1qp-sTH*o|#(O7V{pb^QW_wcgT%H&^
zRqDJ1?rI`y*KdLg^6Wsx61Z|U8s5nFB@=z@Sa%nEognX?IQ6x4slRody`1<)e`o)0
z`~t5&_weOjzTD532gIee*^*XDQ)8KUe>RuFPU3R^QVHG{@fH`6zf_sfvA-ore9k5D
zsvuEU{jFoK|CxK!G3?!=?FZyI2uS!;S*r0nOB)GGvn9B?C7#5vmUyzjlcMZ5Xn$T&
z_Ci6TuCnXuI;B0u#S;|sotV^a)I#1kxyi5b`j4^VJG3PaXws$mIBLWp+p9QK)qj>Y
z6N>sbo09mnTU<7plK8kwf{nndaRV1xkBfPNi!nEs{m11ZVijCN4cdrP)JxTBnjA?`
zS@N4&IG<oMy;>Wapk})7cpOT=9~7wt0VA>l7O6!<TUQM{qs_iz;0H`egl<}`G*jlx
zBXZ^Mc;bi%PaF~HiNkL$!Czw&c(1ksf||feG1KNsAestC0>3X271{S_bEP1An<<IV
zk!|5Q(0rjSoy`N;np=J9J;bOzsx4el)aJ?gQ4~7jPTBk8b)`P5&4Yr`XG}?ij?wGB
zXZMHNstAgx;lT+H=pSgarU3n2QxgCEfIji8kVZQt-x*R5zQ362zGBE@N+NXlG!8)c
zX4*8~;~IB)Xs{U^obbS1s?C;CHcv7o5jwcjsiC|e7SHx15x~@kpZ_O@Xot2SL95V4
z(I}=IPNWJw6gsuPte~*Xltkz#w47__l0z5<583%uPMCto8b2QO9%5t$w1o?bOiL7w
zbsg?-#z?qZvfPvO9z-c^78Hp3Oi6?e5mxtv;E{GeDi!w`h<9s?5EKYn^<(9`XZJki
zzf1eGit^uKO5*iX{@OaqUt4D7KcX#yzVh9}S)TGA*8Z%b{J%3L@%kx$T^;4Glgj_T
zwg~#lcel5D%KsPb&nn9QpQa>2SN=+BpDDPwoQg<9#Gxdyyp=5E;nvBin*HEtyvHTy
z&)O;o3f`%rWhWV=W7C9tuquJTh<W&Ba%GUnc;Nm?n=J+0S4>HS4sOeyLO*=g%QMM2
zyJlp>dJi#dCvOdFs538`CGMQl#vXSHMoYALP%v6#N+NWO=DE>M&ZqDjD2UiFnM)4)
zi(B2N7^Usn;sq^S^S$UN{mdWs4G8`en9k8=LV;<kDT&Zwdfg|JlG>^W3aQUIgI5#w
zYJX6HFK$XAboiD!y=zo6_E0Q?^%|_iqW-~P$l2)T8=MAtfy>@IwS^7}RMhQ{J6yXS
zk36oGVtA`IKMIbwn34z`$3VyOeLx0!gOU8Sw%9?D)H=xT70FL(Go(QIkSU4Kq0~5#
z?*mlhJ%;r=+A0VNtHD8j58Q8Sv!#IhoGFRW!PVPt?!#B_RfhPF+KLDYvDr>_59OD&
zIa5&nohgaXQ5Fl;@hpXr!_gn%U*%x3&=2p?9D<B@Ok%^azcU;BHAeRhXNNTg;q`4t
z0`{~*62LFC45B7B#gYUP77y8l+FU8f&NC$uI<m`lSM7loTSUcv*NA&`!;fmPR~XR_
zZNY<<*X0PH>EG7uan8G5Y4f{^=2_YtDQIpsB@sHB@Y9|s#%bR=^>`^rGexrN#pDhm
zi6G<+lD$YIvIG7gC__p6pdaMpqQuzS+G+}l{buZ|V>yLmW|otV?@2i+DdqG9Oc7!#
z<-13lPsJj-O-Y1q5iNVMKZ_jUW6A+$K_?x=Nh@DVT<;;q@rbr?L2;ZHg_}8#JNJZ`
zT51n#^PpgKlPQVNF?vI%+*K6A;e!!6=-0)kP7tpOkyCw89phO>>=W9e21RU1)Y$<g
zc%`F!wc?9<jpu{ftSG>J#FRwnz|GoC0TFyQ>_@BC0}Ro(w1o-^5h6=di~>JbN~QNr
z?e8nNJZnlKbX-pE%wa2|ohhV8Xihv4$;V-?sQw(|tvYZS;CV*v_u3){MQv#m4VL7Y
zX37&NSAu7EQ(s=K6<^e5M*;B#Qxc(rc#<=dhfWI}&V$<l1PRZ%VERkiF`s4t7j%R*
z!iczYc<6l4DLc3l5d1nos_?aFGo!#a+muA;@HOv7+ps$}jJ8bJu^%qwSBB?}+TsK)
zUkL6Feg<O0_2Jm0{c#13GfYW@4#%1MarDm_80^LpYF@^{OhmS`gH3O9GYu2AiNXFb
z`Xheej)M+E9Me`&P>450X#@xv#h`$eiSyO##NHNZ8Y1v?fRIrl>GfN#(q>aJhRaP!
zgl-Hw)P9SzR}8zx5D?i)Byr+B4=?nH3n%vq;RlQ<J9Dwj0eF9@xetB}>9VohtgXVJ
z#&Uj*UXrsVEpJt+!1+NKR<F>2+bpZq`i<I5E2eY3DT&ZcXW{-V>>!yr5D@{XSIHpA
zh)Ym4_jj}h8QhO)3mFvLg%s3YaA|SaY>td9m{dyo1KMmTaNTE0B6PSKMM)Q`K*i{<
z%By~3P`;rpN>EUmxWu`<C_sE&`_l>#Pn(hm9f+o`LNcA^qN5;D{Uby1U)sV1g`zo%
zb~2sjB0}6KSUj)&Z3T;8nUV+{i_S~>agH;Q#e`@agG6i^!_crbU+lrOHyk<3*;BDs
zZYY*6+WD2daSr=o`fdD4qDPw^+3GJ%V?~s)pL<SN<CJr8*b~P!NqWnb9zo+>;oaU7
zyvC65me_FTmt8fOS=tOM2GeXxB6Ne9+gZ#3`W$v_Ws-x%n!D@jJi~CFsV!R2qTGTB
zIl&voHkG_7C3=H43kpDMO-Y0fP}3#3*x(?QTzGG(4hT^FBSUhfwlF~<X^tM0++b5`
zg=>FraPemCZ!1__VoD-(EKc90cp9Mv<5dw6-YRYn79#za8R7Z3WG-LTZ`6OC@w`D>
zAwlsxJqlhi6OWVbSVhA+N>+yI5HYSuAj=WR5*<yoc6^&Qa|+;ZH6;-`;3w_JxbU28
zzL3pC`r$f_ilOkNB?pfFcJi1{Go1fJTil><M#L`i9>K3A`DF)54!=s>d9OAz3Va_j
zB@sG&E$3HY#)Ev-=V!f#7_6^p3l|iumZ%RQG{Qc2pk9^w585m!5It#1B6Nsacf;du
zE{VAq+RU0poH2^tzQ4bi%O_$Zt0Eo6z9RgQtgSld7yLDb@i*EE2nu5>Hfyj1Vq>e6
z06k5Xz={b0EC`^Ky<ciGr2zYLQxc&AyB@&0Lkeynv2MrlA88ggNB}EC8Vvc&ZDEZw
zHW1{lY*;7;{;q5^`x?}}NRu{;iUCYBB@wy-H0`tV$wUz)Tg<}yo671R8M5`-!UQd)
z&Dd7M-0-<7wJ^48e_O$#&6GswSWN3m(gw#!JeIHWc<uXzQMgQ7jG!n?kIEg1f)AxW
zyjc6g3ItuIBtnM(ZJLcOrI|jAv2$?6i}?raU88lHY(A-m*gE#(4Aynp0tW@_WYL*)
zIOZ7>>_V&LSV8a_ZEh3<51Nt)9l?d_=x=W>+mp5js`gwQ?LkKE!`eayMQu@y5goRn
zF_#KncWd*Z;PnAh5~1VO(wQ7~W;`7;Ru+BhJ;XRYr7c`goaP}+192y&BrCa7F#3u%
z4+=(KHYE`{Msv@J<&$xEtHzFdbPCa{igaCkuD`EP=NU%mKea^*icm|mhj^o-qW#pV
z18-J-D53Toex}WW0?<!PNrVp25^A;p$*M>!(up&N@PY`uI?{dcAztVo@FR7shZ(ZQ
zbHnPGFX1L@D1oyNy$-Wh%w<+7TT``JQJ|Y_N+NXVW^9jVGueR=90R$gMzK<VW_Z?U
z3ly|O&5WY=;Br*EFs;`9x`N1QrX)f~Wac)^7PAk{nl)XG-x-sOv_%Sv$*d^Nh_M6Z
zx;5NB?awQq>@g(~Iw*@S%;Mme*i1ncU1VD<9k0C(cGM>ss1a>3g95cUngO43(+Aoi
z3oErApGwU(q|Jx|S>BXH=#Z`O=9a|4A6b~#;R^=3SjDChRaLh<@LLS!2eriy3Z<Ab
zl=DaVimrtSUqAzOmwyG;yR?~7V11t{iO^wfa<)YSUd4Mz^^XkF6WYQA1*zHH^o$N5
zaid`InD)07EdJh<MCe#7tB4y!#fu?{Ah1G@jbl7RcCKJ2{Jp<muP|;u)fPM`Zp)(;
z!GWknWB4p=o9nSLS1UPJ(EPDBM+%z%W=bM-G}k-3JTMh72<VdNg|wok$>y+=pZ$o?
z@wpiG#Eu|l7kt2DN_(XrUPBs;cf<Cu`uywMT_T=rmMa>2`$ljeM>P0xhiGbHo}|s7
z0{?hZ5~0Jt(Dl!>ElcsT5Szp)(SD4N_8<dkX$u*&;4bpKG{s#mW$9J%I#rtw1+NvR
zBtpk)9rlytvK7ajD`3O^5}aVjIj+Xs?dnyX9WxS)@td?26BOh1Q7o1@l8G6W3aB9&
zR={1!+->MJPKRBn&7p$+PE!)0qkr;I(5}@p3h+GRTGSRfD6UH}igYR#(TlCbv0ncv
zr_GK6V%C&I=pe4HEThgLXfZ%J7YmVnnYK<u7NM;UwGh>Pnc;oEwladk+Xi^maw&ku
z+ySJqdRdyf)%D+K^QK^Zhbf8Bv0hkFU>VMc9LZEw%13*UG5nIYkU=qAR9Qs1NIGYK
zYE-aa(B?zI>vN_gLdR=XW!bD%{%SqI`22^qP(ksT?JHvpklO9}k@oi$T>h6SiO_Lb
zqT&(}zL@sXapS78bgYLNuZf*ujXO@NftMxxE)6obQt{qCzH!>TDA>LB|15SJj*gvZ
z`Dh;DsD~^~i7?hHwe=gcY@TrptVK&ma}CElKzWKbkBSXMO-Y1ae%tri2eB&XthraT
ziYO6n*xsqyh=2HLLV&T~t*w-x*ssOTF)3B80ZTUL8?)4_w=dA<Pr>~>Qxc)$J_j3P
zM6_v9SyL%j*6?dT!q{D{Em%<O=F(;u;Ym$Y%v3^auHa|1IZ)6!U`ir%bY^)+0&#+f
zPP|ne@2m9yBlBKup@JeatKz60P7)DUYG>y?+Micoxy_VBh_JMBh}Xsr%;fYYG35$Z
zJ`sOKSoIsD@u-j`HD}5RC#<}od|kOU)jAQ8hL>E?lT9b`BLld+_0sG7xvTb<Q!DWl
z;ux<A@^Ga?uKuO`-6u?SI2)X%?nJ2QQfJ#mc{`VH8|Y8L_kx{i+i%C>IBMV5wp(0n
z;SP-QiEO-W7oP&4b=iCyMIv3hesywiB-2w)-34kFEG=%7VU$@VIuTie8fa@2Z5GZv
z33x0|!`84rQ^Tp|XHE6x1v>kTDTxrxmJMiOMO^KUuC6`x;%b+U_8{BUueF5?3f`h<
zj-r2yZW-dX=Cc*&+th02KehQ#s+pgek_a8IRuMJJ>5|E)=w2-J$o8v?wbsgmzs6Y3
zI4`VmRx3x=f&`-b#lTh^S9Alrs=zjCGo=7K)s#f&z%IcW0UtYYz~z#Oa}LFHp?a`<
zjE5P-b=txPEs!VCyuZt>4@l-#D&89`uhHg3!EUuFiO{i|BV3obDydZfYd^v`U8*fu
zP@LwnBa>>*6m%}q=0HJbpDBsZ(W$EYc2NUT(aZ&`GLP~aqj;^h0)nDgRb^JUfYwo}
z%n@y-6kvx;NmK)?)2)+Se0&mmobBl7re57b4Uz!~kBdJD60y`;(4*e=-5`#B^gVpJ
zmoNA8<pFW2;G)=5EHxLh@oso<?uI9p9JXADKKpeOPB>xb+|=9XvLtmqU1p{Z(WNPM
z16>+YH`1j!brW4?q~1=KNvWIZGBtIWF0)g&@Nc7ZX-*yC%dK>on|cRb#-&PhnV5Pf
zT_&X7MVG0m+vw7ex}7fLQt#%Q@1e`2)E#`YOqUB%d+D;XSZX36@^+j(Q41MLQ{e!z
zkffd9BHzDs=ZQC$Q?WL@apKMs50_In$>h!xZz-of>SV?t^9?669+?-N%mifSozAcC
zoQTX8Co>6|n3I`|%wZ=p<(6`>GzkNI?C&Pcf{StB;sX}Qj1ycu&dG6L=%<_<kL2Xl
z;(_skw~d^cfcsZ+aw3v9a&i)q_sb+bT`WzB_s0g&kgbs)9FGtF7SQhmH9XuhStRL$
z8)Z^_<w_?*8u$ojh?TF&q<H90oFP`)F>nIO3F7`GPKI6{<qR?T2~HA|-{$0GBwyj=
z6eJfn2r3Ooc5reklD(XqhU7aqIUUJQak3G~?{KmS$v<(j`EZ5k?Nam!5PkAod;whI
z(N&xz(ci>L5^#u<B+~~tNt{2<N#gvcoFvYtwg_Uxc^fB*^ZlG8&PO;&oZrn!;`~WY
z66e3*BslkwS}WO|2zEQ>;R_Q5yS<zwcHhBCV)qj=DfIp$&Jge8=ZhDK_f}34@4Gok
zyyrMcyq9HC(0J6z5OzOuGGzMW7YLG5c9QA0IvFzk-A)Fk@5!-F$}tIYJWNka5^{W(
zlO)Ig;Uvj%@<Q<dvEIo^uwE?9me!jcEF=e#*NAS1Bs&>ox1NHxCJV9&P7>L}GAZQw
z9B1eo|H?`F#)&J$i=>`YI7#Z+$w^YrfJ_P+cXNhx^|(xm`#*Iuq^p)zL6R(BGbhOc
z-oi<;fSWl<7Vsb^$pW6^B-!qN$)upYVx=JGGvxJB^eGViL!_lCLi8tOQoQ#wCqq2V
zTO=MLrEK9O=^@5R(!*g+k{%x7B<bOwI0-#?Xl{_-Zos!!E(X~K@$CyaNnglwlD_a>
znG_s-!O0Luzv2viyYUTz3RfBJPKF+ebB4IOStbRg2b~N(^qi9++kDB%kZmqsA_$Wt
z=gFjaJ?&)Z^$&7}u>P`4(nFrWXGnpkLf~a5f#Osl@D5Irz!^@Gz_-h!_|6lYAsK%n
zlj8oIh@e7ZZIDTE|8gfod>wK!B-W=nLz4UpCyC!zIZ5UiIa!b-qub6&7@a4>Mk&KI
z$Z$9PK26B*BqvFRUvQFSn7ULvz^zQ1lOdk=I~n5XX3mgw4|0+OdXAIC=}Vj>PFtda
zBuXe=-0WnC<XfB!k$g92AW*S1HJ*m|4B-V%GCv*6AEMGQotXE8J5&DNh~Ixn6dHwa
z&C5iRgj>f+67Dii64!6zByoL@ObY&<ax%o<%bX#3<}VinQG4P34$hEp2V_#*zun2u
z%a1r267C012BujoH8{=j>5}^<aNji*UuY8C7iCfqz01iE(PueBa{Wdo#Y3~EiI>Oi
zq=(LMGW6vuoD3C;8=MSP*bg`v>Z?5KWT>z5TPK6QN^0(ONxA`<PR@`r4{(x{c{?Xb
znU8RiRQ3Z-l9pcMBpK_nMnR5@bq6P@hRkr1YREe{Nj2o>IY~9-4>?IS<hUk50hMBE
z1t(`9xr>uCk-VCdv&c?dRXbguW~ln>^gy#v^$VONh0bXfcS*K0IZ3iz#YvLwkW31V
zf0{F*RC1C8{ew)3M^?@d1WD?hGAZs4IvE1%!<->~JSmgnp_e#A%2_Z|(1CI)<Z=2l
zGayfn9+)BIc^@Z9o-cBe<oS_I3d-YWiKoX4TUo~$lJqi8lB93rBnfvPCrP-cWKvN1
zrIR5cnr91=lXsHEoy{3hkX`jV{h66y_x<$1Ou_DBoFsOC!bxIx${g_kF?A*-XW^yG
zMMAuEh?Dfvy)sEG6=kQt7aO}om>ufmmu6rbP(Xm4?qmj)3buXWrWjRRiJ{T0t1#p$
z(VutGpO4a?2kFm~^yex1^ECbW8vS{e{(OV}{EYtmg8rOn;m>&bvzY!Yp+6D&vy}cU
zqd#w?KU?Wf2mRTGKX$$}qc@qh^WBAPch2r9CesP32?Rg4;Yy>P+XZ7@jyUvk#HyDg
zp1m9~@8w7eFGu2dIg-oEk$_%~B=vG6vX>*-y&NgQ%aJy`9I3_2k$$`!Day-{#=IP<
z&dZSwy&Ngi%aK;S9I4mM6-$kM>1+?QEKDF@zO7uE$+lr9D(^~-m!={NQ!I&1JB1kG
zQ93a$F4J<^Y@wT%s?ZPuoYJH&v2azsqb%37X!L$zX?i}{gP~ntM^ARhE_?ZN>~!`Z
z@)MH@462cs29FeQsKI^N3rmx+ew2v~;1#h{bYZDEnMdHLif4|L8oIIcluqRAO!>-k
zsj)kj$!4~BcZxlw$=RM1)}Vxm?*o@RPv8n8(`Qo{HIisDnjXp`lX4!J5>K*!BYHyK
zMa3y^ic-|*<Y2D7bf;JvA0HePFFb!f%=!|1F7*OZeubodhg%n>UZTIH1|j^O+@3)w
zps8Tv#25}W?1dKKi2}NE?sVk(kWalVUVTOUrS-E5Q-47ENa~OHi}{RK#RXDNB*pmz
zng|H(;Yw*HS5IYt08M4!LQ@&I&{PI4G?jr1O=aLhQyI9>R0b|Im4ORQW#B?n8Mx3?
z1}-#}feTG#;6hUwxX@GvE;N;a3l(ZyXet92n##b1rZRA$sSI3bDgzgq%D{!DGOna*
zZCr}PYfb$bBBM&1Jb*p+s6BAc#c;v^j{8?W)Yu=(cY8Bt^g2!9j0&+wh18=$=usi_
zs1SKnNIWV89u@MA3UNn;w4*}UQ6cN75Oq{YIw}Mm6>^RWF^>o-M}?3_gp8v?#3Mq&
zBSOGYA>U}x6=B@qNQD5Y^*cyd_t){{meNy#cRybcb!TZB&e8PI5Rnd0;zg;fN$FUR
zofi5lP3f~UY#ONxK)ruysWCr@<=o-b=`4<=+Nd46_rsTb9(D;bdvn?05tQ)O)J{BI
zYVJ<Qt{LfuM`H1SjbBQW_<djk(snMEE|(_m5XM(1-%w8N!F#E_^yf|VXCMCDQa)Vn
zxusm10uY%Oa6V$WIjmmq#$&Bj@0O<T7NEl;8JTu1>Tj-~J}D3HnDKsev2n8=$!T5U
zp~&7?pIwt;tb(GC$!eBMv-ge^`r&NS$0T)ir&2BDK_K)lm5=88QhXqFnP3q);#D$?
zTp#87<!_FalqO<SfZBp8pb35OMMNf1ni$7wJS9t$P>&A8xLzW2zm1DIE>z5Mp<<2;
z6?0sunBzjl92Y9)xKJ_2g^D>YRLpUqVvY+Hb6lvH<3hz87b@nsP%+1a$~W4X%DG0|
zr6P^HlXzPI8X}hHyseMEpZ?v2Qa&j;03h<^(llw5MR){92c{D}1*+mM$|SEoHyJN*
zn{!(k^?f2Ox)G>Gpr=yfxd?KT&c+h-MxGxl&4R;=KALRo7Ua8&xg;s7fhyZ>+0d1y
zp;qsPkAs3eOogm8ZD1r{pd08*fdi3)tA6Z-SWWF?xzw~ffqEPHZTyT=>zAgWc}mzh
z998R|Q)-6OrGac_AeKAO4J#NaA1Td*C~)f2jSq1&i+s6%Pia<ys;_QrDajs0DH8>D
zv^2BwZhkNpx67mcM-vbY&E05eHb0uk7KwN=gErX4*P4oh5Yg@?>Z#Z;9&DD$ZnVC6
z92o@8Cqi{iiDX{zl^=nxkYS9j#^dg^VlLgChiOs!(tmNOx!;bV(DtF}jrV7B)M(9g
zZspU(zHW-aftwBeg@JVU0K5ib3`vA$_o4$q=is^aV82<TsC|k(n2jy~XsWbQuhO$k
zxY?bs)0palt>f-r=<bYzaL$+S#v#aVM9nD{?DEcM(Dt=tdZ0?tu}vUh$GZn1s_5v<
z$4^3`=<0}H^2J{G?tvueANAkWf9LI`*?5Fd2c-G#gS7Pk$^=G&s2vw<IX1%0hbV0W
zn1-{<=XHF4%Y^6O`P^`6a;})+TW3$W|M2-Y{dsR`5`^#1Cd#D=v0@<$bITXwaYVVq
z*;{mEYzlAFozB9x-fX_Zrd#xz+ep`Kh*^j;q4_pvV2ujB4@Hcccxp2qNAVE+zVepu
zJ(hZca%Xq+FZtU1pPZ8V3Ua9@>Cad3=Sb=){4HG`4qK;7zNj*)<ZI&O%U^p$^0nvb
zuU>N9doO-n`C23SqT12NSHml}T`KunwtUvBUwiHJ*Ojk!$rn}EKE9@XW9##huf-dl
zyY|82?XN3eYb9UQe)#yB{+9I<nXj#{ec<8WJ^7o*tN22HhguuoOLI2AyhRGL^@Q&|
z@zR!muX;%uWjJNUk%d}6A6s*udH8Q6Tl3bP+_m9HHDsZ-()Uu!+aIyyOB0WL{r)?*
zp746gvR>jsZMToDd0k&=k!(%=_N<$3Kc`xjP*uD^vPFFfKU<$_{3m8>>x=u|^v6%m
zI`n#K>kP>j^=*7?&ENRwKTEd$(tZEWA1YR}1uLeWkpHC*KOU7Yy?nz%>rZQ{MjkIw
zzsdK~f~)>`i^OGOX3hK`|Hs+26<~)_A6G6YNnKEv&d1@Rv(K9*Ib6K?tjE6j+C8;7
zykd+wbSJ<iW7Ns?Gj{9q-<SIS&3C@|%Hfe}eM^&$jV)v7O61~6^qfRbcAeyo`o4bd
z{`s`4BzG@N_|&tlyQ;Z^HBe94_tN5ZAN;a>>7_4iPJijnLsh!QOEh5izx2h@ujEUA
z{?_+;R&B5GCF*_qUV6jfYi{P3&YqN7@YVL4AFuk7RNkdyt3031Xm}5%N)x^Q)WpL}
zo*t;|Pc_WE?6H?F-QxDA`eT({sZop?7AT!HOcT)*Pl7tj_>nv0-GjL#xxO302U`)C
z!|~PAHk3)MP8A17(AQkeT|kRsa-WvUXVK4ZseCjQ8;a%Qx#VC$j30&zqVI*NC^52V
z%MbOPHavh4O9STz5yhx9mD8y~8<|ELU$oJ1Ac2tzeiV6{1R8cSm=ePH0w0)zksNhO
zF)R?h*8+9V#RQ(%<;6p!Zg=1}xAHD|OUV?nIhs!>Evo#5#!(534=R42g>!G1An1<g
y@n350NNI6THhZ8OCocwUXfO{iBZ${s@%u~~z~pFH1uwWXz!)s|f2`QE`u_qKpTLX&

diff --git a/doc/LectureNotes/_build/.doctrees/week35.doctree b/doc/LectureNotes/_build/.doctrees/week35.doctree
index 2eee99ed2314767695ec3d0cb4d4011b2f729f3b..db9b95b0d40ee8fe64a510b6eda3a1f3925026cc 100644
GIT binary patch
delta 2268
zcmcgtO^cjG5O($>(a8>R@q?hkHVERuG}TqzUELQw30@S@^(1>(lZo?&WL9=JXat>j
zcn@L@f}?XXC$HX&s|ODO74(>YAc9`Jc@)H_yJzAr(A`r_b$vb0Q}zD-m)`wbZ_Ec<
zgN@sx!DqL&x5?%lymOvN@E=dUzBTxM<H4*BKLpMkv-q4A+dpi*d$RGxV0V2cR<q0G
zC5+FLm}EmBrIe+bVpF7$LL``M#QG4uz+cRvah6jcJSeZ(1nWp0voE<AUZ)y;()zlX
z5))#pw*;#Xv&?9B`CKGRjx|~gTh<Ubh^t<hiIewEi#bHC=z_$kt+QxL9YJew3vy%9
z5VLPywM3j?#TLw%BcM}}Sxp`a2owX?<VLMHCrPC><}IOc3ci{{6K!_MIafgu<84+h
zfVZhjZjLEcKnn<2ebi;H+Bd-+VksqNmaVWR&mqJ1C{2kll`owN0CyRkk<`~i*o-cn
z#s-SB5}7q}3FZP>OgVz>Y6`f_61|qj{19$%pEUc`Ysr2Fil`(Ha07hj#kbBdwQ9<$
zT#}V&<kgV4jTvoXRVTHyH`!_;mqZIjMMg=3FfcD>EzM9_%B#|v5gsTu{4odcWgnZ4
z7&-#eKHsA&IOt4ro6AF#U`H!t49IfifX*8An3ABB)F3L5MRHK#l3PgDA(fXRN@r%?
zM(EW=uC>aPfE47_Mk`%8CkI{DxuO-yV5><1uY;q2J_{X%trSDn&{S7TXMyOKV*w*b
zG&*U!6|5JUVcDo649q}JWXP~#24#2<Pg2}v9{?Y4(N&{R8AS<A2?1;o6q}d9-Z}?i
zgym~&Ib+Fj8<49A1ziDBcMpFEBT*|2t}zIgIk<I(&BYl&#7cD(Sfb`46o&q(Fpt$P
zW?2v12(Ri_eFt(X8d@%#5Y|jkQVpIti@Sv7tg1sawuxQLSc&R~hDikwHsK^}Q;Z>m
z2BAkObSYdLD}4vZ5UOn$f!hEksZw8#0x=*D+++k3`cH&rP^yYF=ZrHFT4~%6oVJ*#
zi85Q~8B|s}>aIDbP8<G3;q2gcaYYZP@Q7_=B9{U(s;Vo&8Mj9zg{uE5vqWG!uRs!k
z=n!8)07gZGXl;p!6L1y7@(SZ9P*Y`f;}izx(R<tD!X@GIyA>VS753Uhx7R)eKYlql
z_t@;4*UPm6-Wey{7_unoaTtTa?~Dxzk=5Yx;xOP8WMj@ll-_~6#CyZt!~JgBP2V)H
z@UVP{V#FzfoC#kDivPM_eD!(wiEypG&jL=$Fi!GtcYJibiUzHOPZ2OdL!r5rk&dA#
z!hufZNaK>UA+~=SZ0Om^seb;!{L`=22lth~#rx}PJB#P~Guw+Bn`@8s-CEzR_uWR{
zZT8)%zB}D__xIfceK+j8Gkv#pyBpnkeC^3!Po8;V^wzn-&x_Cf=;gEKrGw+K*}rmh
zV2&sI$BU0I4<3H@ZTxaLHW$023)ha0%HWeR?C!{1Iy|^)_RWO@jC1MQ^ulp>Ff|v)
zm%8crqIu&wa*WL<cYb?l(;Q5%Twna*M|XEVd|`|v`%`mu|M;+b$Nonpsg|_!0@8c)
yrze{?|EI!R%fgdKFPqmEzdSXdlbtyF=)1G(=abWW^U3zj4Xmy|`S#C|9sUD&+a#I*

delta 1979
zcmZWqv5VYQ5O(h_iEeI9LO_CA{6GsW@|ZVo=FJ<cUlXtqM6Z)84m`XQJS3MQ2(nuI
z8cn&nT`F5U!=Yf8#!|t?&MJR_l^}laz1_3$n!VYXH#6Ti-^~8@k3IX_zF5unXR{}Z
z*|(2x-=^T66BDbO<0F-eA0E%1?%gb^q%OG#l}Jg~N5AiXcCqu_>|l2p19_30Q$D^+
zJa9-(Cd}MS2`(i^6Ni}w394Br6|3I)5JQU5Q*v$5F=Q4)jcO+3lB}jhQuA6Ulv8nT
zmF93q&r35Y-Jj6DQ;aFLa1Oa-&QVHB2CrF)MpV6Xv;vGp^X735*;7t#+fImGqpGxA
z3Esk4Y*RW1_88&kWlLT{WG*gVYw?f*P?6`-aab^mBG$Yz9}ume8DF-?fT_kcyggRr
zDwI<0oq$kDRxT-nowBHx&NujvW}YK$QR6LYaf69c&hE<ED5`|B6u7O|lE6_*jcBD~
zD6S6Folp*@Ney3BZzWvBDf4F3h!$F=NZh6gH@PKDvzOLjBpltU5>kDw$Sn{<t0f`A
zZEQU{S1(zIDVR=9mZZc+QKd|{6ppdZBLN0c(FiqE{$&7XkcA*)%N?OQkA{pebw1?a
zSp_irYY7AuN#Z`9Y8tF2$}~7o7vR=PF#3jDsH$*FFko3SZ=?+1-vH7<Q!5QdMG2@k
zgd36rNz4^>#l^~m0r%-CbS1@#cO^hKzz9Xx$0!Yk>ne(MSP}}e5?F4fFxza)q}Z2c
zYfvl_=iH*_AVr}<0>#aZRV)Q0Z1w@GhYd%wy^{nHa@FMJdPGhxyg?nYib5d0Pm2Sa
zL&8xj|BOasCKZ%}*&0VH7CHCugauIOB6ZajG^$h;U!yBZ7H~|h&xSfvguPXvgKdUT
zTPdt!b|q|bGncpm3J}uWRc45^j0rV=36NAGsG-$jkU*q349yG4La>a^tGCWN17pHH
zYta}U0~odSNFdZQ7SDS$go5j_tkS5X$7^tixf8Y5m6RNdJCxLFfkMNw;jT0@V_Se4
zDu#)p010DjC8jP)oGYA|EE~!=l#;N<8&04b+#bkG8vnKNdKGZ)wg-r_5^h%4RfG~M
zpBo)vS{S{?KFs-GShfWHm$s>35R|ZE-kU~?67E;)yB=lqg|?;jdDwpno_;^O^YZe?
z4}jSrN92}apn&TwnKJ&z65+HuMlsx_x_(#^i8TfR5L(g0`N938)3ejFkB0Yn-hPS@
zQlOHQomKyHzw`b*_^TERZYEN)C;T?Wx8?`O=MOGlSGu?|j$KdPwS8&GSFa+@4bB2q
zu%meKm)V|O|K_LN*>m;p<m&p?Z0EIU+?mGRY22H}E7N#&8m~>`^V9gkG|s2-`ZVr8
z85hr9*?IEk#hb4#KD{%0cYUUdas7uZZmvJn#jkYZ?c?+F)1$NDlcNXsPalTWwEA-O
v`Ra|6E06x?I(g~iVIA)+;>B0C`1<D?%Bz!WhpUrYkM;^FU%dX;BFz5<0;Raj

diff --git a/doc/LectureNotes/_build/html/_sources/week35.ipynb b/doc/LectureNotes/_build/html/_sources/week35.ipynb
index acce5416d..d19cfb003 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": "0babeebd",
+   "id": "e0ac9f47",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97c00fa1",
+   "id": "20d0da53",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4a3ef03",
+   "id": "22448e3d",
    "metadata": {
     "editable": true
    },
@@ -49,7 +49,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cce1437b",
+   "id": "3a79d77d",
    "metadata": {
     "editable": true
    },
@@ -65,7 +65,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52737d8a",
+   "id": "ae5da086",
    "metadata": {
     "editable": true
    },
@@ -99,7 +99,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "671d6e88",
+   "id": "9f1bacbf",
    "metadata": {
     "editable": true
    },
@@ -115,7 +115,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff12276e",
+   "id": "65cc3dd0",
    "metadata": {
     "editable": true
    },
@@ -127,7 +127,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "047c45e4",
+   "id": "9817bfd1",
    "metadata": {
     "editable": true
    },
@@ -137,7 +137,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "429101eb",
+   "id": "f8aad43a",
    "metadata": {
     "editable": true
    },
@@ -149,7 +149,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5e3146c",
+   "id": "e3d82d66",
    "metadata": {
     "editable": true
    },
@@ -170,7 +170,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7dbe051b",
+   "id": "8f723842",
    "metadata": {
     "editable": true
    },
@@ -182,7 +182,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4fc0ccc9",
+   "id": "bc1bd2ac",
    "metadata": {
     "editable": true
    },
@@ -195,7 +195,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b74ac188",
+   "id": "fd86d13e",
    "metadata": {
     "editable": true
    },
@@ -207,7 +207,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3dd89363",
+   "id": "9e4182c0",
    "metadata": {
     "editable": true
    },
@@ -219,7 +219,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9c8ee6d",
+   "id": "98d9bd56",
    "metadata": {
     "editable": true
    },
@@ -229,7 +229,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1a7d81e",
+   "id": "d4a31a4c",
    "metadata": {
     "editable": true
    },
@@ -241,7 +241,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e470402",
+   "id": "cc31ead7",
    "metadata": {
     "editable": true
    },
@@ -254,7 +254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de2d1c2e",
+   "id": "cbd1baab",
    "metadata": {
     "editable": true
    },
@@ -266,7 +266,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f2c6a27",
+   "id": "e0562917",
    "metadata": {
     "editable": true
    },
@@ -276,7 +276,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2a53c69",
+   "id": "cc542ad8",
    "metadata": {
     "editable": true
    },
@@ -288,7 +288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e6be165",
+   "id": "fb4287eb",
    "metadata": {
     "editable": true
    },
@@ -300,7 +300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e1aa69e",
+   "id": "91c1c4e2",
    "metadata": {
     "editable": true
    },
@@ -311,7 +311,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6808670",
+   "id": "db1b66ea",
    "metadata": {
     "editable": true
    },
@@ -323,7 +323,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1681f8b5",
+   "id": "4716bdab",
    "metadata": {
     "editable": true
    },
@@ -342,7 +342,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "079581c8",
+   "id": "e9833b82",
    "metadata": {
     "editable": true
    },
@@ -355,7 +355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2d8bbbe",
+   "id": "3492b7ee",
    "metadata": {
     "editable": true
    },
@@ -365,7 +365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6f6fa32",
+   "id": "d2c35465",
    "metadata": {
     "editable": true
    },
@@ -377,7 +377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c40e93cb",
+   "id": "1f18e09c",
    "metadata": {
     "editable": true
    },
@@ -387,7 +387,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "817e6b7e",
+   "id": "e740df2b",
    "metadata": {
     "editable": true
    },
@@ -399,7 +399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e81cba3",
+   "id": "529cdc4c",
    "metadata": {
     "editable": true
    },
@@ -409,7 +409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f444a6f6",
+   "id": "d46fdfa6",
    "metadata": {
     "editable": true
    },
@@ -421,7 +421,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0a4d2f3",
+   "id": "d7e2a6c8",
    "metadata": {
     "editable": true
    },
@@ -432,7 +432,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b4fb52ac",
+   "id": "e210bf52",
    "metadata": {
     "editable": true
    },
@@ -444,7 +444,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "625eedb8",
+   "id": "5f1a1000",
    "metadata": {
     "editable": true
    },
@@ -454,7 +454,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4860d6a",
+   "id": "79f3a458",
    "metadata": {
     "editable": true
    },
@@ -466,7 +466,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3dbaea0",
+   "id": "0e7cf91b",
    "metadata": {
     "editable": true
    },
@@ -476,7 +476,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12a58017",
+   "id": "6c3736f3",
    "metadata": {
     "editable": true
    },
@@ -488,7 +488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e01c27e",
+   "id": "6b2f9416",
    "metadata": {
     "editable": true
    },
@@ -508,7 +508,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a674207",
+   "id": "702f5c24",
    "metadata": {
     "editable": true
    },
@@ -535,7 +535,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "32d78057",
+   "id": "43ab73e6",
    "metadata": {
     "editable": true
    },
@@ -547,7 +547,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b05fa6a7",
+   "id": "82078c10",
    "metadata": {
     "editable": true
    },
@@ -559,7 +559,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5d01c3c2",
+   "id": "4a024a84",
    "metadata": {
     "editable": true
    },
@@ -575,7 +575,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f6abac54",
+   "id": "a87fdfb1",
    "metadata": {
     "editable": true
    },
@@ -593,7 +593,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83090779",
+   "id": "78689f85",
    "metadata": {
     "editable": true
    },
@@ -605,7 +605,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af17b7d4",
+   "id": "6c9f7030",
    "metadata": {
     "editable": true
    },
@@ -617,7 +617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c67fb280",
+   "id": "2bacebe3",
    "metadata": {
     "editable": true
    },
@@ -628,7 +628,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3289be1",
+   "id": "e6cddb5b",
    "metadata": {
     "editable": true
    },
@@ -640,7 +640,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "edc4fe47",
+   "id": "4a0ea4ff",
    "metadata": {
     "editable": true
    },
@@ -650,7 +650,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cae8f055",
+   "id": "714d5fd4",
    "metadata": {
     "editable": true
    },
@@ -662,7 +662,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cac6ff9f",
+   "id": "9963e08d",
    "metadata": {
     "editable": true
    },
@@ -676,7 +676,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50d4f5da",
+   "id": "6e256484",
    "metadata": {
     "editable": true
    },
@@ -688,7 +688,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "150da64e",
+   "id": "e85336f3",
    "metadata": {
     "editable": true
    },
@@ -700,7 +700,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95b20a47",
+   "id": "3443addc",
    "metadata": {
     "editable": true
    },
@@ -712,7 +712,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51b0e4e3",
+   "id": "090b5baa",
    "metadata": {
     "editable": true
    },
@@ -722,7 +722,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6e1d862",
+   "id": "ff67b428",
    "metadata": {
     "editable": true
    },
@@ -734,7 +734,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bad539c1",
+   "id": "881885dd",
    "metadata": {
     "editable": true
    },
@@ -746,7 +746,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a4f0d75",
+   "id": "1240d539",
    "metadata": {
     "editable": true
    },
@@ -758,7 +758,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a71b3c23",
+   "id": "331ad633",
    "metadata": {
     "editable": true
    },
@@ -772,7 +772,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88befc96",
+   "id": "a521aa39",
    "metadata": {
     "editable": true
    },
@@ -784,7 +784,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d3f17e84",
+   "id": "114aed6b",
    "metadata": {
     "editable": true
    },
@@ -796,7 +796,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "daccd41d",
+   "id": "ff8e2332",
    "metadata": {
     "editable": true
    },
@@ -808,7 +808,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "00b3204d",
+   "id": "9ec540cb",
    "metadata": {
     "editable": true
    },
@@ -818,7 +818,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8be5135b",
+   "id": "d791ae0d",
    "metadata": {
     "editable": true
    },
@@ -830,7 +830,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f573683",
+   "id": "533a1d14",
    "metadata": {
     "editable": true
    },
@@ -840,7 +840,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc6a156c",
+   "id": "0881c74d",
    "metadata": {
     "editable": true
    },
@@ -852,7 +852,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83c196bf",
+   "id": "22fd8012",
    "metadata": {
     "editable": true
    },
@@ -862,7 +862,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a350d475",
+   "id": "69d58d47",
    "metadata": {
     "editable": true
    },
@@ -874,7 +874,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b7eabaf",
+   "id": "d4cd670f",
    "metadata": {
     "editable": true
    },
@@ -886,7 +886,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90736966",
+   "id": "83be2125",
    "metadata": {
     "editable": true
    },
@@ -898,7 +898,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb9a16ec",
+   "id": "02f427be",
    "metadata": {
     "editable": true
    },
@@ -913,7 +913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52518d34",
+   "id": "25eccf6d",
    "metadata": {
     "editable": true
    },
@@ -925,7 +925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "139726b2",
+   "id": "11cc70c5",
    "metadata": {
     "editable": true
    },
@@ -935,7 +935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5684873d",
+   "id": "319aa4a2",
    "metadata": {
     "editable": true
    },
@@ -947,7 +947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "acfde1eb",
+   "id": "31aaf2ce",
    "metadata": {
     "editable": true
    },
@@ -957,7 +957,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db5a6f27",
+   "id": "0a3aec11",
    "metadata": {
     "editable": true
    },
@@ -969,7 +969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b343d82",
+   "id": "fbff7523",
    "metadata": {
     "editable": true
    },
@@ -979,7 +979,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c2f023d",
+   "id": "1e416580",
    "metadata": {
     "editable": true
    },
@@ -991,7 +991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c575a3d",
+   "id": "2beb6f3c",
    "metadata": {
     "editable": true
    },
@@ -1003,7 +1003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cdd12ae",
+   "id": "951de09f",
    "metadata": {
     "editable": true
    },
@@ -1015,7 +1015,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c747ecf",
+   "id": "f0cfd242",
    "metadata": {
     "editable": true
    },
@@ -1025,7 +1025,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1f1cac6",
+   "id": "a5f1d7d3",
    "metadata": {
     "editable": true
    },
@@ -1037,7 +1037,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38f0c38d",
+   "id": "eba03162",
    "metadata": {
     "editable": true
    },
@@ -1050,7 +1050,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e6e7a18",
+   "id": "f100cbe2",
    "metadata": {
     "editable": true
    },
@@ -1062,7 +1062,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d0a300bf",
+   "id": "f1bfc271",
    "metadata": {
     "editable": true
    },
@@ -1072,7 +1072,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8606b2f5",
+   "id": "eab9d415",
    "metadata": {
     "editable": true
    },
@@ -1084,7 +1084,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e808f42",
+   "id": "5a448795",
    "metadata": {
     "editable": true
    },
@@ -1094,7 +1094,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e60692f9",
+   "id": "b99d4e29",
    "metadata": {
     "editable": true
    },
@@ -1106,7 +1106,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "191a1403",
+   "id": "e2d4516c",
    "metadata": {
     "editable": true
    },
@@ -1116,7 +1116,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85a48dc2",
+   "id": "cb9eb155",
    "metadata": {
     "editable": true
    },
@@ -1128,7 +1128,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "322515bc",
+   "id": "790a0e95",
    "metadata": {
     "editable": true
    },
@@ -1138,7 +1138,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "07e78aa4",
+   "id": "13aa82ce",
    "metadata": {
     "editable": true
    },
@@ -1150,7 +1150,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55e68f23",
+   "id": "a103f682",
    "metadata": {
     "editable": true
    },
@@ -1160,7 +1160,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c4198d70",
+   "id": "ce7906c3",
    "metadata": {
     "editable": true
    },
@@ -1172,7 +1172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b7d6fda2",
+   "id": "da4e0b11",
    "metadata": {
     "editable": true
    },
@@ -1184,7 +1184,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f76130c7",
+   "id": "fed771e5",
    "metadata": {
     "editable": true
    },
@@ -1196,7 +1196,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1eda8311",
+   "id": "2facb9ef",
    "metadata": {
     "editable": true
    },
@@ -1208,7 +1208,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cbcfc4ac",
+   "id": "6f272a9f",
    "metadata": {
     "editable": true
    },
@@ -1220,7 +1220,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15f400be",
+   "id": "29d09098",
    "metadata": {
     "editable": true
    },
@@ -1236,7 +1236,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ea079a0",
+   "id": "a65ba3e7",
    "metadata": {
     "editable": true
    },
@@ -1248,7 +1248,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c55b7c42",
+   "id": "81f1235d",
    "metadata": {
     "editable": true
    },
@@ -1258,7 +1258,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74f1cbc2",
+   "id": "03fc983e",
    "metadata": {
     "editable": true
    },
@@ -1270,7 +1270,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "281c8820",
+   "id": "a977079e",
    "metadata": {
     "editable": true
    },
@@ -1288,7 +1288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf35f2b0",
+   "id": "f7a353e0",
    "metadata": {
     "editable": true
    },
@@ -1300,7 +1300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8db5ad71",
+   "id": "ea0cc191",
    "metadata": {
     "editable": true
    },
@@ -1312,7 +1312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f39e2160",
+   "id": "8ef639aa",
    "metadata": {
     "editable": true
    },
@@ -1322,7 +1322,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e4e4e8d",
+   "id": "2a440bb6",
    "metadata": {
     "editable": true
    },
@@ -1334,7 +1334,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0323a489",
+   "id": "434ec630",
    "metadata": {
     "editable": true
    },
@@ -1344,7 +1344,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10339395",
+   "id": "224d3db0",
    "metadata": {
     "editable": true
    },
@@ -1356,7 +1356,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b22fc31",
+   "id": "8454f8a5",
    "metadata": {
     "editable": true
    },
@@ -1366,7 +1366,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "494b1a28",
+   "id": "43669b68",
    "metadata": {
     "editable": true
    },
@@ -1380,7 +1380,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d20c96cf",
+   "id": "80645c26",
    "metadata": {
     "editable": true
    },
@@ -1392,7 +1392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f81444b",
+   "id": "fb545d6c",
    "metadata": {
     "editable": true
    },
@@ -1403,7 +1403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f81d6764",
+   "id": "e7262e81",
    "metadata": {
     "editable": true
    },
@@ -1416,7 +1416,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "83225daf",
+   "id": "d1fd9937",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1443,7 +1443,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f432b3ff",
+   "id": "c5423473",
    "metadata": {
     "editable": true
    },
@@ -1454,7 +1454,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "04b2ece5",
+   "id": "a34a7650",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1467,7 +1467,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8467ac97",
+   "id": "e218ee6a",
    "metadata": {
     "editable": true
    },
@@ -1481,7 +1481,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "fb24217a",
+   "id": "14933f25",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1494,7 +1494,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95050d99",
+   "id": "fd9a15cb",
    "metadata": {
     "editable": true
    },
@@ -1505,7 +1505,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7daecb54",
+   "id": "61a708f4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1517,7 +1517,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "616c641c",
+   "id": "5903bc37",
    "metadata": {
     "editable": true
    },
@@ -1528,7 +1528,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "ad94a295",
+   "id": "ee9b2868",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1544,7 +1544,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afb8bdc0",
+   "id": "5b698b0f",
    "metadata": {
     "editable": true
    },
@@ -1555,7 +1555,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "d9382131",
+   "id": "57d4cd3a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1569,7 +1569,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81a3e982",
+   "id": "c7a3aaba",
    "metadata": {
     "editable": true
    },
@@ -1590,7 +1590,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f58f6c21",
+   "id": "2eb3f93b",
    "metadata": {
     "editable": true
    },
@@ -1601,7 +1601,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "bb9a3b77",
+   "id": "cfeb8d48",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1654,7 +1654,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c977c2ac",
+   "id": "df5c5eca",
    "metadata": {
     "editable": true
    },
@@ -1665,7 +1665,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "2676b30f",
+   "id": "2d04b51c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1690,7 +1690,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53eb00be",
+   "id": "f5a2b35a",
    "metadata": {
     "editable": true
    },
@@ -1702,7 +1702,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "893ea33c",
+   "id": "89019840",
    "metadata": {
     "editable": true
    },
@@ -1731,7 +1731,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fcfef74e",
+   "id": "a795dfed",
    "metadata": {
     "editable": true
    },
@@ -1756,7 +1756,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40a6072e",
+   "id": "18341dc4",
    "metadata": {
     "editable": true
    },
@@ -1776,7 +1776,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6464d00e",
+   "id": "ae48eec9",
    "metadata": {
     "editable": true
    },
@@ -1803,7 +1803,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f69bee17",
+   "id": "c5187422",
    "metadata": {
     "editable": true
    },
@@ -1816,7 +1816,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae4d66ae",
+   "id": "3f2f8dff",
    "metadata": {
     "editable": true
    },
@@ -1828,7 +1828,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9a60e683",
+   "id": "d016aeaa",
    "metadata": {
     "editable": true
    },
@@ -1839,7 +1839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45315f93",
+   "id": "cbd6bef4",
    "metadata": {
     "editable": true
    },
@@ -1855,7 +1855,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "7fe845e8",
+   "id": "a936912f",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1889,7 +1889,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "049d9edb",
+   "id": "b5c1678e",
    "metadata": {
     "editable": true
    },
@@ -1899,7 +1899,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e098f1e2",
+   "id": "c9a49c01",
    "metadata": {
     "editable": true
    },
@@ -1914,7 +1914,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afe0f097",
+   "id": "b195db22",
    "metadata": {
     "editable": true
    },
@@ -1926,7 +1926,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c4c32c9",
+   "id": "9debef9c",
    "metadata": {
     "editable": true
    },
@@ -1936,7 +1936,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e3af961",
+   "id": "8a997618",
    "metadata": {
     "editable": true
    },
@@ -1952,7 +1952,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "364363ed",
+   "id": "371c1d67",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1969,7 +1969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f85005a3",
+   "id": "a0543264",
    "metadata": {
     "editable": true
    },
@@ -1982,7 +1982,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "47c9afad",
+   "id": "8c7a6aab",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2029,7 +2029,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d522b5b",
+   "id": "add34214",
    "metadata": {
     "editable": true
    },
@@ -2040,7 +2040,7 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "0aed60c8",
+   "id": "6419e441",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2143,7 +2143,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fa165453",
+   "id": "ef995ef5",
    "metadata": {
     "editable": true
    },
@@ -2171,7 +2171,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "734df471",
+   "id": "030d3c0c",
    "metadata": {
     "editable": true
    },
@@ -2206,7 +2206,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6bde2ec",
+   "id": "f43ff3f2",
    "metadata": {
     "editable": true
    },
@@ -2221,7 +2221,7 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "0e49b148",
+   "id": "f1048ea7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2246,7 +2246,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a4397707",
+   "id": "c2e96f53",
    "metadata": {
     "editable": true
    },
@@ -2262,7 +2262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c113b92",
+   "id": "168771fe",
    "metadata": {
     "editable": true
    },
@@ -2274,7 +2274,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18d476bc",
+   "id": "2c3a048c",
    "metadata": {
     "editable": true
    },
@@ -2289,7 +2289,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3cf3b752",
+   "id": "1cf78358",
    "metadata": {
     "editable": true
    },
@@ -2301,7 +2301,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed2af561",
+   "id": "df497fb7",
    "metadata": {
     "editable": true
    },
@@ -2311,7 +2311,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b37a9e65",
+   "id": "a0ee7f44",
    "metadata": {
     "editable": true
    },
@@ -2323,7 +2323,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9775ea0",
+   "id": "117813ee",
    "metadata": {
     "editable": true
    },
@@ -2333,7 +2333,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cecd5fc2",
+   "id": "7fe3c928",
    "metadata": {
     "editable": true
    },
@@ -2345,7 +2345,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52fcc61e",
+   "id": "d9b0cadf",
    "metadata": {
     "editable": true
    },
@@ -2358,7 +2358,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "000d54d2",
+   "id": "d084b963",
    "metadata": {
     "editable": true
    },
@@ -2370,7 +2370,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0fed9be4",
+   "id": "9feed9c7",
    "metadata": {
     "editable": true
    },
@@ -2380,7 +2380,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c61aa7b",
+   "id": "7646db83",
    "metadata": {
     "editable": true
    },
@@ -2392,7 +2392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b390be2f",
+   "id": "70b04ee4",
    "metadata": {
     "editable": true
    },
@@ -2402,7 +2402,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aab8c64c",
+   "id": "fb98b594",
    "metadata": {
     "editable": true
    },
@@ -2414,7 +2414,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "269cff24",
+   "id": "58b6bb60",
    "metadata": {
     "editable": true
    },
@@ -2424,7 +2424,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66e6ecf2",
+   "id": "8792e8b2",
    "metadata": {
     "editable": true
    },
@@ -2436,7 +2436,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33bddc5a",
+   "id": "fd1b7917",
    "metadata": {
     "editable": true
    },
@@ -2446,7 +2446,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e81b738",
+   "id": "9296d406",
    "metadata": {
     "editable": true
    },
@@ -2458,7 +2458,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b182f371",
+   "id": "49a369db",
    "metadata": {
     "editable": true
    },
@@ -2468,7 +2468,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97caf464",
+   "id": "6c1ff393",
    "metadata": {
     "editable": true
    },
@@ -2480,7 +2480,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d44cf34a",
+   "id": "05376dd3",
    "metadata": {
     "editable": true
    },
@@ -2490,7 +2490,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98301664",
+   "id": "9ffe05be",
    "metadata": {
     "editable": true
    },
@@ -2502,7 +2502,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c10a9495",
+   "id": "cf9c3ed2",
    "metadata": {
     "editable": true
    },
@@ -2514,7 +2514,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e55bc871",
+   "id": "4ad52b56",
    "metadata": {
     "editable": true
    },
@@ -2526,7 +2526,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6033356d",
+   "id": "fc7df605",
    "metadata": {
     "editable": true
    },
@@ -2539,7 +2539,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d064973a",
+   "id": "1ad271b5",
    "metadata": {
     "editable": true
    },
@@ -2551,7 +2551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "21607d44",
+   "id": "a7661ef0",
    "metadata": {
     "editable": true
    },
@@ -2561,7 +2561,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55a9f200",
+   "id": "66a608d3",
    "metadata": {
     "editable": true
    },
@@ -2575,7 +2575,7 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "35f99de0",
+   "id": "5538e71a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2672,7 +2672,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5eb9aa4d",
+   "id": "940dadb6",
    "metadata": {
     "editable": true
    },
@@ -2693,7 +2693,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cbdc215",
+   "id": "a6b92ae4",
    "metadata": {
     "editable": true
    },
@@ -2705,7 +2705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a148d669",
+   "id": "e50ebc47",
    "metadata": {
     "editable": true
    },
@@ -2715,7 +2715,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a04efc28",
+   "id": "c10d8931",
    "metadata": {
     "editable": true
    },
@@ -2727,7 +2727,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d004f9af",
+   "id": "414a419a",
    "metadata": {
     "editable": true
    },
@@ -2737,7 +2737,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33d88186",
+   "id": "01dcee36",
    "metadata": {
     "editable": true
    },
@@ -2749,7 +2749,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79a0fcd6",
+   "id": "1460667a",
    "metadata": {
     "editable": true
    },
@@ -2765,7 +2765,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5276fcae",
+   "id": "85a29f10",
    "metadata": {
     "editable": true
    },
@@ -2809,7 +2809,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6071dd24",
+   "id": "6e1cbb1b",
    "metadata": {
     "editable": true
    },
@@ -2821,7 +2821,7 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "c878cffa",
+   "id": "1026aca4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2837,7 +2837,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ae29df1",
+   "id": "4299d593",
    "metadata": {
     "editable": true
    },
@@ -2848,7 +2848,7 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "0c27343f",
+   "id": "f417412e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2866,7 +2866,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd362de3",
+   "id": "6ced6323",
    "metadata": {
     "editable": true
    },
@@ -2877,7 +2877,7 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "1042f631",
+   "id": "f11aa076",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2891,7 +2891,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82185c81",
+   "id": "c20af331",
    "metadata": {
     "editable": true
    },
@@ -2902,7 +2902,7 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "dd4764d2",
+   "id": "c6c96c81",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2915,7 +2915,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b18d348",
+   "id": "f6fb45ce",
    "metadata": {
     "editable": true
    },
@@ -2926,7 +2926,7 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "ad218084",
+   "id": "6f00c28a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2943,7 +2943,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37596ce4",
+   "id": "0abc4366",
    "metadata": {
     "editable": true
    },
@@ -2954,7 +2954,7 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "c64afdcd",
+   "id": "933b907e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2970,7 +2970,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f74d7c0e",
+   "id": "21b8d81c",
    "metadata": {
     "editable": true
    },
@@ -2981,7 +2981,7 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "05f432c4",
+   "id": "dcec4712",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3005,7 +3005,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7eccf967",
+   "id": "e7347e92",
    "metadata": {
     "editable": true
    },
@@ -3016,7 +3016,7 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "e4e2ffd8",
+   "id": "3f276b40",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3029,7 +3029,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "df5c1bb8",
+   "id": "271b8bef",
    "metadata": {
     "editable": true
    },
@@ -3040,7 +3040,7 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "f5103c3e",
+   "id": "99c18370",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3060,7 +3060,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b03da257",
+   "id": "21407961",
    "metadata": {
     "editable": true
    },
@@ -3071,7 +3071,7 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "862a3613",
+   "id": "ee884183",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3114,7 +3114,7 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "28414bfe",
+   "id": "a95605df",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3129,7 +3129,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "423c5193",
+   "id": "c83dad54",
    "metadata": {
     "editable": true
    },
@@ -3139,7 +3139,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40134015",
+   "id": "e80c5346",
    "metadata": {
     "editable": true
    },
@@ -3153,7 +3153,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ea33726",
+   "id": "5bce901a",
    "metadata": {
     "editable": true
    },
@@ -3165,7 +3165,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b20e3c69",
+   "id": "99d8c33b",
    "metadata": {
     "editable": true
    },
@@ -3177,7 +3177,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "86928159",
+   "id": "b4c93930",
    "metadata": {
     "editable": true
    },
@@ -3189,7 +3189,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f876bba",
+   "id": "f9ece246",
    "metadata": {
     "editable": true
    },
@@ -3199,7 +3199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a0f675e",
+   "id": "ebe402c7",
    "metadata": {
     "editable": true
    },
@@ -3211,7 +3211,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b09cb8c",
+   "id": "38dfce7b",
    "metadata": {
     "editable": true
    },
@@ -3221,7 +3221,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d734fd4",
+   "id": "42726abc",
    "metadata": {
     "editable": true
    },
@@ -3233,7 +3233,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7bd3f98e",
+   "id": "1c847fce",
    "metadata": {
     "editable": true
    },
@@ -3244,7 +3244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37d9ae55",
+   "id": "ce34cf9c",
    "metadata": {
     "editable": true
    },
@@ -3256,7 +3256,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "457c49df",
+   "id": "01ce392c",
    "metadata": {
     "editable": true
    },
@@ -3268,7 +3268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72cb8e53",
+   "id": "d2d128e9",
    "metadata": {
     "editable": true
    },
@@ -3278,7 +3278,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5a2f7bf",
+   "id": "e681b2fa",
    "metadata": {
     "editable": true
    },
@@ -3290,7 +3290,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c1d3ae9",
+   "id": "f3029e28",
    "metadata": {
     "editable": true
    },
@@ -3302,7 +3302,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbd16f90",
+   "id": "05e1d64d",
    "metadata": {
     "editable": true
    },
@@ -3312,7 +3312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b112d398",
+   "id": "3266ac10",
    "metadata": {
     "editable": true
    },
@@ -3324,7 +3324,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "02cd55a7",
+   "id": "e918b318",
    "metadata": {
     "editable": true
    },
@@ -3334,7 +3334,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f91ca1c",
+   "id": "80b16165",
    "metadata": {
     "editable": true
    },
@@ -3346,7 +3346,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4c9a1014",
+   "id": "9c5be15b",
    "metadata": {
     "editable": true
    },
@@ -3356,7 +3356,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bbf65400",
+   "id": "ee9004d8",
    "metadata": {
     "editable": true
    },
@@ -3396,7 +3396,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e86aedda",
+   "id": "8f345ab7",
    "metadata": {
     "editable": true
    },
@@ -3413,7 +3413,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5607899f",
+   "id": "922f58d1",
    "metadata": {
     "editable": true
    },
@@ -3436,7 +3436,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee828c1a",
+   "id": "8dafc4c2",
    "metadata": {
     "editable": true
    },
@@ -3453,7 +3453,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8cf44f4b",
+   "id": "b4e09621",
    "metadata": {
     "editable": true
    },
@@ -3472,7 +3472,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41c01ec3",
+   "id": "137c6cf4",
    "metadata": {
     "editable": true
    },
@@ -3483,7 +3483,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2abae461",
+   "id": "dc25a406",
    "metadata": {
     "editable": true
    },
@@ -3495,7 +3495,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b9091ee",
+   "id": "900ce3c9",
    "metadata": {
     "editable": true
    },
@@ -3513,7 +3513,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e9c2ef56",
+   "id": "b1afaf31",
    "metadata": {
     "editable": true
    },
@@ -3529,7 +3529,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f85233fa",
+   "id": "07b0ca44",
    "metadata": {
     "editable": true
    },
@@ -3541,7 +3541,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "61b8cabc",
+   "id": "22a680da",
    "metadata": {
     "editable": true
    },
@@ -3551,7 +3551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b057486",
+   "id": "f509aae3",
    "metadata": {
     "editable": true
    },
@@ -3566,7 +3566,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6274419d",
+   "id": "e0c20dba",
    "metadata": {
     "editable": true
    },
@@ -3578,7 +3578,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "213c9ae6",
+   "id": "c8bb06b6",
    "metadata": {
     "editable": true
    },
@@ -3588,7 +3588,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6a9de3b7",
+   "id": "29ca64d1",
    "metadata": {
     "editable": true
    },
@@ -3600,7 +3600,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7ce3387",
+   "id": "af1e6533",
    "metadata": {
     "editable": true
    },
@@ -3610,7 +3610,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98ff9d86",
+   "id": "b0a6fa58",
    "metadata": {
     "editable": true
    },
@@ -3622,7 +3622,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b327be5",
+   "id": "eadb81a6",
    "metadata": {
     "editable": true
    },
@@ -3634,7 +3634,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c1a9126",
+   "id": "fccff518",
    "metadata": {
     "editable": true
    },
@@ -3649,7 +3649,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c92214f",
+   "id": "cac0aa1e",
    "metadata": {
     "editable": true
    },
@@ -3660,7 +3660,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "534f2e5f",
+   "id": "8dd99324",
    "metadata": {
     "editable": true
    },
@@ -3680,7 +3680,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b60adf4",
+   "id": "881a015f",
    "metadata": {
     "editable": true
    },
@@ -3692,7 +3692,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8a70724c",
+   "id": "ac543f7f",
    "metadata": {
     "editable": true
    },
@@ -3702,7 +3702,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "428c905b",
+   "id": "4b3b7360",
    "metadata": {
     "editable": true
    },
@@ -3714,7 +3714,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "874e40ee",
+   "id": "42df2f58",
    "metadata": {
     "editable": true
    },
@@ -3743,7 +3743,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35f9527c",
+   "id": "7154cacc",
    "metadata": {
     "editable": true
    },
@@ -3770,7 +3770,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fdd5aa47",
+   "id": "d6023971",
    "metadata": {
     "editable": true
    },
@@ -3781,7 +3781,7 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "01e4de19",
+   "id": "a89decec",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3821,7 +3821,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4de121b",
+   "id": "ba244752",
    "metadata": {
     "editable": true
    },
@@ -3838,7 +3838,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ca8d39b",
+   "id": "20d7027f",
    "metadata": {
     "editable": true
    },
@@ -3861,7 +3861,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdcff808",
+   "id": "f0a99200",
    "metadata": {
     "editable": true
    },
@@ -3875,7 +3875,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28074411",
+   "id": "b6dd3432",
    "metadata": {
     "editable": true
    },
@@ -3894,7 +3894,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ea2fc19",
+   "id": "c13a39c4",
    "metadata": {
     "editable": true
    },
@@ -3904,7 +3904,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1fee3ce",
+   "id": "2f25e533",
    "metadata": {
     "editable": true
    },
@@ -3916,7 +3916,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd762673",
+   "id": "bfcfb048",
    "metadata": {
     "editable": true
    },
@@ -3930,7 +3930,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f20cf9e9",
+   "id": "56838f49",
    "metadata": {
     "editable": true
    },
@@ -3942,7 +3942,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85368feb",
+   "id": "cc22f743",
    "metadata": {
     "editable": true
    },
@@ -3952,7 +3952,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8770954",
+   "id": "eb5cf710",
    "metadata": {
     "editable": true
    },
@@ -3964,7 +3964,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a270875",
+   "id": "dc0695c6",
    "metadata": {
     "editable": true
    },
@@ -3981,7 +3981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "680b5723",
+   "id": "13f4a1f2",
    "metadata": {
     "editable": true
    },
@@ -3991,7 +3991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ccca506",
+   "id": "8cd7f951",
    "metadata": {
     "editable": true
    },
@@ -4007,7 +4007,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e79a5cc",
+   "id": "5e2da62c",
    "metadata": {
     "editable": true
    },
@@ -4017,7 +4017,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27b3b9fe",
+   "id": "3764dc21",
    "metadata": {
     "editable": true
    },
@@ -4033,7 +4033,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a351c847",
+   "id": "0c2a3cc3",
    "metadata": {
     "editable": true
    },
@@ -4043,7 +4043,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa000d05",
+   "id": "e26157fd",
    "metadata": {
     "editable": true
    },
@@ -4059,7 +4059,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d519658",
+   "id": "86faee8a",
    "metadata": {
     "editable": true
    },
@@ -4069,7 +4069,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0870c7af",
+   "id": "298ed70f",
    "metadata": {
     "editable": true
    },
@@ -4086,7 +4086,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "084c61ee",
+   "id": "82700ca9",
    "metadata": {
     "editable": true
    },
@@ -4098,7 +4098,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3d4ccfa",
+   "id": "0936050b",
    "metadata": {
     "editable": true
    },
@@ -4110,7 +4110,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "59ba92d2",
+   "id": "5cf9c415",
    "metadata": {
     "editable": true
    },
@@ -4122,7 +4122,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5e2f754",
+   "id": "383df96d",
    "metadata": {
     "editable": true
    },
@@ -4132,7 +4132,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cb23cb1",
+   "id": "61a360f0",
    "metadata": {
     "editable": true
    },
@@ -4144,7 +4144,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c3ffc6f",
+   "id": "0ae1f6d7",
    "metadata": {
     "editable": true
    },
@@ -4156,7 +4156,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "786439ab",
+   "id": "0377a098",
    "metadata": {
     "editable": true
    },
@@ -4168,7 +4168,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51d4bb29",
+   "id": "b8b7fadd",
    "metadata": {
     "editable": true
    },
@@ -4178,7 +4178,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79bdc7d5",
+   "id": "9b10c412",
    "metadata": {
     "editable": true
    },
@@ -4190,7 +4190,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a48d61d1",
+   "id": "4a8b1eae",
    "metadata": {
     "editable": true
    },
@@ -4200,7 +4200,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c8b52bf",
+   "id": "28eb8108",
    "metadata": {
     "editable": true
    },
@@ -4212,7 +4212,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d902463f",
+   "id": "7dfc4919",
    "metadata": {
     "editable": true
    },
@@ -4228,7 +4228,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "955c3dda",
+   "id": "b0623f5e",
    "metadata": {
     "editable": true
    },
@@ -4240,7 +4240,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af6d057f",
+   "id": "7c0a554d",
    "metadata": {
     "editable": true
    },
@@ -4252,7 +4252,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1200c060",
+   "id": "eb6957af",
    "metadata": {
     "editable": true
    },
@@ -4262,7 +4262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18782e94",
+   "id": "cd8cdf7b",
    "metadata": {
     "editable": true
    },
@@ -4274,7 +4274,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f51193b6",
+   "id": "7479824a",
    "metadata": {
     "editable": true
    },
@@ -4285,7 +4285,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "293c5f44",
+   "id": "0f5e31a1",
    "metadata": {
     "editable": true
    },
@@ -4297,7 +4297,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e5cd6b1",
+   "id": "0154706c",
    "metadata": {
     "editable": true
    },
@@ -4307,7 +4307,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79a79025",
+   "id": "204300e7",
    "metadata": {
     "editable": true
    },
@@ -4319,7 +4319,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9bbddbf2",
+   "id": "0c286642",
    "metadata": {
     "editable": true
    },
@@ -4329,7 +4329,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a80c23e",
+   "id": "6e86269b",
    "metadata": {
     "editable": true
    },
@@ -4341,7 +4341,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5af565e",
+   "id": "0239d27b",
    "metadata": {
     "editable": true
    },
@@ -4352,7 +4352,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dd518e36",
+   "id": "d28c673d",
    "metadata": {
     "editable": true
    },
@@ -4364,7 +4364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "082bcee9",
+   "id": "a46000f4",
    "metadata": {
     "editable": true
    },
@@ -4382,7 +4382,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdbc4fa9",
+   "id": "5af469fb",
    "metadata": {
     "editable": true
    },
@@ -4398,7 +4398,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33adf71a",
+   "id": "cbf850f2",
    "metadata": {
     "editable": true
    },
@@ -4410,7 +4410,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3794d9a9",
+   "id": "46754f34",
    "metadata": {
     "editable": true
    },
@@ -4422,7 +4422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55e25f81",
+   "id": "912e6438",
    "metadata": {
     "editable": true
    },
@@ -4434,7 +4434,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47657755",
+   "id": "385e44a5",
    "metadata": {
     "editable": true
    },
@@ -4447,7 +4447,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bfdc6c11",
+   "id": "f7ea1538",
    "metadata": {
     "editable": true
    },
@@ -4463,7 +4463,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b10b21d6",
+   "id": "4871a670",
    "metadata": {
     "editable": true
    },
@@ -4477,7 +4477,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "127632f4",
+   "id": "096bfb4e",
    "metadata": {
     "editable": true
    },
@@ -4487,7 +4487,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ddd29440",
+   "id": "8bb5961a",
    "metadata": {
     "editable": true
    },
@@ -4499,7 +4499,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f1426a9",
+   "id": "d5fc78b2",
    "metadata": {
     "editable": true
    },
@@ -4509,7 +4509,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8af09cbd",
+   "id": "8294b010",
    "metadata": {
     "editable": true
    },
@@ -4521,7 +4521,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbb24d4a",
+   "id": "0d740546",
    "metadata": {
     "editable": true
    },
@@ -4531,7 +4531,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "108264c8",
+   "id": "bfa7cec5",
    "metadata": {
     "editable": true
    },
@@ -4545,7 +4545,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1df71171",
+   "id": "bd250d44",
    "metadata": {
     "editable": true
    },
@@ -4562,7 +4562,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94f43fa7",
+   "id": "5c715a9c",
    "metadata": {
     "editable": true
    },
@@ -4578,7 +4578,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35a9e26e",
+   "id": "530e44f9",
    "metadata": {
     "editable": true
    },
@@ -4590,7 +4590,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "570d029f",
+   "id": "8963de47",
    "metadata": {
     "editable": true
    },
@@ -4603,7 +4603,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2920ebfe",
+   "id": "57dfa03b",
    "metadata": {
     "editable": true
    },
@@ -4617,7 +4617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "508ef7cd",
+   "id": "03fee314",
    "metadata": {
     "editable": true
    },
@@ -4627,7 +4627,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47eaf212",
+   "id": "af46ee0c",
    "metadata": {
     "editable": true
    },
@@ -4640,7 +4640,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c88297fa",
+   "id": "52cc3bc6",
    "metadata": {
     "editable": true
    },
@@ -4659,7 +4659,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0eb1beac",
+   "id": "c3a0202f",
    "metadata": {
     "editable": true
    },
@@ -4671,7 +4671,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8055f42",
+   "id": "7b244f95",
    "metadata": {
     "editable": true
    },
@@ -4683,7 +4683,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18b7ca49",
+   "id": "664f60f6",
    "metadata": {
     "editable": true
    },
@@ -4693,7 +4693,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf084294",
+   "id": "790a3b58",
    "metadata": {
     "editable": true
    },
@@ -4705,7 +4705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2d914bb",
+   "id": "9c9f2d45",
    "metadata": {
     "editable": true
    },
@@ -4718,7 +4718,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28d0307c",
+   "id": "faf5ab08",
    "metadata": {
     "editable": true
    },
@@ -4737,7 +4737,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1022b8b",
+   "id": "59ec07d7",
    "metadata": {
     "editable": true
    },
@@ -4747,7 +4747,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9813aced",
+   "id": "3013ec51",
    "metadata": {
     "editable": true
    },
@@ -4766,7 +4766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "624e1592",
+   "id": "09868daf",
    "metadata": {
     "editable": true
    },
@@ -4784,7 +4784,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e69238f",
+   "id": "f4ad3314",
    "metadata": {
     "editable": true
    },
@@ -4798,7 +4798,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1adcab4e",
+   "id": "bea84db1",
    "metadata": {
     "editable": true
    },
@@ -4813,7 +4813,7 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "d7a3937b",
+   "id": "7406b721",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4834,7 +4834,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7668b290",
+   "id": "e62a10c6",
    "metadata": {
     "editable": true
    },
@@ -4851,7 +4851,7 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "22a46238",
+   "id": "e99810d7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4883,7 +4883,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d60df16",
+   "id": "b6753d67",
    "metadata": {
     "editable": true
    },
@@ -4897,7 +4897,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cce022a",
+   "id": "d7e5de4d",
    "metadata": {
     "editable": true
    },
@@ -4910,7 +4910,7 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "ce383181",
+   "id": "b88ed80b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4935,7 +4935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5af761f5",
+   "id": "97b688c8",
    "metadata": {
     "editable": true
    },
@@ -4945,7 +4945,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "43c34a93",
+   "id": "bda65277",
    "metadata": {
     "editable": true
    },
@@ -4956,7 +4956,7 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "98ae9abd",
+   "id": "9a2f0b3a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5010,7 +5010,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55b95089",
+   "id": "36f0b362",
    "metadata": {
     "editable": true
    },
@@ -5027,7 +5027,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "58edec27",
+   "id": "9cc9395a",
    "metadata": {
     "editable": true
    },
@@ -5039,7 +5039,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91cf5408",
+   "id": "2cb29d31",
    "metadata": {
     "editable": true
    },
@@ -5051,7 +5051,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9628d939",
+   "id": "37266bbd",
    "metadata": {
     "editable": true
    },
@@ -5061,7 +5061,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d408e7f5",
+   "id": "fd11309e",
    "metadata": {
     "editable": true
    },
@@ -5078,7 +5078,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1266b478",
+   "id": "5dd9ff49",
    "metadata": {
     "editable": true
    },
@@ -5088,7 +5088,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e22633d5",
+   "id": "10932a11",
    "metadata": {
     "editable": true
    },
@@ -5103,7 +5103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "594fba0d",
+   "id": "87223b22",
    "metadata": {
     "editable": true
    },
@@ -5113,7 +5113,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d70023fd",
+   "id": "b62507a6",
    "metadata": {
     "editable": true
    },
@@ -5127,7 +5127,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52dc44dd",
+   "id": "b55725a2",
    "metadata": {
     "editable": true
    },
@@ -5139,7 +5139,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2668fc5",
+   "id": "cad5ecee",
    "metadata": {
     "editable": true
    },
@@ -5151,7 +5151,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "abcb6d33",
+   "id": "e9c5b7ad",
    "metadata": {
     "editable": true
    },
@@ -5163,7 +5163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a224487f",
+   "id": "adf41d77",
    "metadata": {
     "editable": true
    },
@@ -5173,7 +5173,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d2e0786",
+   "id": "c7c61baf",
    "metadata": {
     "editable": true
    },
@@ -5185,7 +5185,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1175c0c5",
+   "id": "e7b1cec7",
    "metadata": {
     "editable": true
    },
@@ -5195,7 +5195,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bbfe6895",
+   "id": "2ba7eb4a",
    "metadata": {
     "editable": true
    },
@@ -5212,7 +5212,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e1fd41d",
+   "id": "68bed668",
    "metadata": {
     "editable": true
    },
@@ -5222,7 +5222,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ac7e61a",
+   "id": "9e799242",
    "metadata": {
     "editable": true
    },
@@ -5234,7 +5234,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "779f099c",
+   "id": "bd113755",
    "metadata": {
     "editable": true
    },
@@ -5244,7 +5244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fe58de11",
+   "id": "0ac63d25",
    "metadata": {
     "editable": true
    },
@@ -5256,7 +5256,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6f9244dc",
+   "id": "06a3a6a0",
    "metadata": {
     "editable": true
    },
@@ -5270,7 +5270,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0dc4a97b",
+   "id": "c4207b8e",
    "metadata": {
     "editable": true
    },
@@ -5282,7 +5282,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c85e169b",
+   "id": "ecc01bf4",
    "metadata": {
     "editable": true
    },
@@ -5296,7 +5296,7 @@
     "encode from the columns of $\\boldsymbol{X}$. \n",
     "\n",
     "Note that these are also the eigenvectors and eigenvalues of the\n",
-    "Hessian matrix.\n",
+    "Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.\n",
     "\n",
     "If we now recall the definition of the covariance matrix (not using\n",
     "Bessel's correction) we have"
@@ -5304,7 +5304,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d9c670c9",
+   "id": "762ad728",
    "metadata": {
     "editable": true
    },
@@ -5316,7 +5316,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "19f3422e",
+   "id": "07987964",
    "metadata": {
     "editable": true
    },
@@ -5331,7 +5331,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73ba196c",
+   "id": "f2a7f704",
    "metadata": {
     "editable": true
    },
@@ -5343,7 +5343,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e045ed0",
+   "id": "aa2f5f3b",
    "metadata": {
     "editable": true
    },
@@ -5355,7 +5355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73a040c2",
+   "id": "f35a10a9",
    "metadata": {
     "editable": true
    },
@@ -5365,7 +5365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad598099",
+   "id": "cf2795e3",
    "metadata": {
     "editable": true
    },
@@ -5377,7 +5377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72c59cf8",
+   "id": "3d5180ae",
    "metadata": {
     "editable": true
    },
@@ -5387,7 +5387,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d3ea89e",
+   "id": "d39a992a",
    "metadata": {
     "editable": true
    },
@@ -5399,7 +5399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7180582d",
+   "id": "7167d57e",
    "metadata": {
     "editable": true
    },
@@ -5409,7 +5409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9993e038",
+   "id": "c5c07ca6",
    "metadata": {
     "editable": true
    },
@@ -5421,7 +5421,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb3035aa",
+   "id": "ffd917e2",
    "metadata": {
     "editable": true
    },
@@ -5438,7 +5438,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a561bcdb",
+   "id": "99d25bf3",
    "metadata": {
     "editable": true
    },
@@ -5451,7 +5451,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "268ae34a",
+   "id": "70a97a49",
    "metadata": {
     "editable": true
    },
@@ -5463,7 +5463,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc03d5dc",
+   "id": "acad4821",
    "metadata": {
     "editable": true
    },
@@ -5473,7 +5473,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ea893df",
+   "id": "7c7245b1",
    "metadata": {
     "editable": true
    },
@@ -5486,7 +5486,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ef4a051",
+   "id": "4d48256d",
    "metadata": {
     "editable": true
    },
@@ -5496,7 +5496,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e250ee2f",
+   "id": "b97689ae",
    "metadata": {
     "editable": true
    },
@@ -5508,7 +5508,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac02490b",
+   "id": "a1e6d358",
    "metadata": {
     "editable": true
    },
@@ -5521,7 +5521,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aeb823e8",
+   "id": "23c512d5",
    "metadata": {
     "editable": true
    },
@@ -5534,7 +5534,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "185ff85c",
+   "id": "9da70468",
    "metadata": {
     "editable": true
    },
@@ -5546,7 +5546,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1419c4ca",
+   "id": "741726c2",
    "metadata": {
     "editable": true
    },
@@ -5558,7 +5558,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9773136b",
+   "id": "a44d203e",
    "metadata": {
     "editable": true
    },
@@ -5568,7 +5568,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8b694dc",
+   "id": "09bbc4ac",
    "metadata": {
     "editable": true
    },
@@ -5581,7 +5581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88371d47",
+   "id": "37cb206c",
    "metadata": {
     "editable": true
    },
@@ -5593,7 +5593,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "171b5be4",
+   "id": "87fe1756",
    "metadata": {
     "editable": true
    },
@@ -5605,7 +5605,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e835b14",
+   "id": "44fc5198",
    "metadata": {
     "editable": true
    },
@@ -5617,7 +5617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17531870",
+   "id": "b0fa981e",
    "metadata": {
     "editable": true
    },
@@ -5629,7 +5629,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e3ef48e",
+   "id": "80231e43",
    "metadata": {
     "editable": true
    },
@@ -5643,7 +5643,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66166180",
+   "id": "15e51237",
    "metadata": {
     "editable": true
    },
@@ -5655,7 +5655,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a58eac00",
+   "id": "dd75aca5",
    "metadata": {
     "editable": true
    },
@@ -5665,7 +5665,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27eed264",
+   "id": "9cb2ef33",
    "metadata": {
     "editable": true
    },
@@ -5677,7 +5677,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dde3eff1",
+   "id": "fad95084",
    "metadata": {
     "editable": true
    },
@@ -5689,7 +5689,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc32ef71",
+   "id": "230a6ff7",
    "metadata": {
     "editable": true
    },
@@ -5701,7 +5701,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f71d1884",
+   "id": "85a1a5d1",
    "metadata": {
     "editable": true
    },
@@ -5713,7 +5713,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a461218a",
+   "id": "ff8d6799",
    "metadata": {
     "editable": true
    },
@@ -5725,7 +5725,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "417dd2f5",
+   "id": "827e177b",
    "metadata": {
     "editable": true
    },
@@ -5744,7 +5744,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb40cac4",
+   "id": "aca28922",
    "metadata": {
     "editable": true
    },
@@ -5756,7 +5756,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0220204c",
+   "id": "e08ee7a5",
    "metadata": {
     "editable": true
    },
@@ -5766,7 +5766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5f1bd6c9",
+   "id": "5f5b2dc5",
    "metadata": {
     "editable": true
    },
@@ -5778,7 +5778,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17072bfc",
+   "id": "d5030a07",
    "metadata": {
     "editable": true
    },
@@ -5788,7 +5788,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c11fad3",
+   "id": "3b4a0fce",
    "metadata": {
     "editable": true
    },
@@ -5800,7 +5800,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c609b962",
+   "id": "67619670",
    "metadata": {
     "editable": true
    },
@@ -5812,7 +5812,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9795acef",
+   "id": "a0188c70",
    "metadata": {
     "editable": true
    },
@@ -5828,7 +5828,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2219ef4",
+   "id": "2b542ab9",
    "metadata": {
     "editable": true
    },
@@ -5840,7 +5840,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db852bdc",
+   "id": "c27c8f59",
    "metadata": {
     "editable": true
    },
@@ -5852,7 +5852,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7af957bf",
+   "id": "2b68e82e",
    "metadata": {
     "editable": true
    },
@@ -5862,7 +5862,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3b9a6dcb",
+   "id": "af6db7ba",
    "metadata": {
     "editable": true
    },
@@ -5874,7 +5874,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fe99d76",
+   "id": "69a927de",
    "metadata": {
     "editable": true
    },
@@ -5884,7 +5884,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95c258e2",
+   "id": "f9362946",
    "metadata": {
     "editable": true
    },
@@ -5896,7 +5896,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "61e1baef",
+   "id": "1999617c",
    "metadata": {
     "editable": true
    },
@@ -5913,7 +5913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "706bad69",
+   "id": "05da6504",
    "metadata": {
     "editable": true
    },
@@ -5925,7 +5925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff63d81f",
+   "id": "bf894d8e",
    "metadata": {
     "editable": true
    },
@@ -5937,7 +5937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66436c5d",
+   "id": "b0e2eb07",
    "metadata": {
     "editable": true
    },
@@ -5947,7 +5947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bb26a2e",
+   "id": "b4b83749",
    "metadata": {
     "editable": true
    },
@@ -5959,7 +5959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "87a71dc0",
+   "id": "f335a39d",
    "metadata": {
     "editable": true
    },
@@ -5969,7 +5969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a9ef08dc",
+   "id": "47a66a91",
    "metadata": {
     "editable": true
    },
@@ -5981,7 +5981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8ebfe39",
+   "id": "f6132801",
    "metadata": {
     "editable": true
    },
@@ -5991,7 +5991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3acea6b",
+   "id": "61e7e5b8",
    "metadata": {
     "editable": true
    },
@@ -6003,7 +6003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "24f8649f",
+   "id": "9f52d6a6",
    "metadata": {
     "editable": true
    },
@@ -6013,7 +6013,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2af184ea",
+   "id": "c4f8cae2",
    "metadata": {
     "editable": true
    },
@@ -6025,7 +6025,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "257f939f",
+   "id": "00e45c65",
    "metadata": {
     "editable": true
    },
diff --git a/doc/LectureNotes/_build/html/searchindex.js b/doc/LectureNotes/_build/html/searchindex.js
index 86ab3a27c..3287f42ee 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","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","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],"00":[0,1,5,6,9,11,20,23,24],"000":[1,3],"0000":9,"00000":9,"000000":[5,11,23,24],"00000000e":[5,24],"000054":23,"0000e":[],"0001":1,"00010403373827253124":[],"000148":[],"00017471":[],"00018425":[],"00019998":5,"00024087":5,"00025531":[],"00028369228101198006":[],"00029012":5,"0003043256065368937":[],"0003153514830957865":6,"00031535148309580783":6,"0003153514830958081":[],"0003153514830958126":[],"0003153514830958235":[],"00034944":5,"000417932":2,"00042089":5,"000464088":2,"00046714":[],"00050694":5,"00054144":[],"00054272":[],"00057106":[],"00058016":6,"000599":[],"00060705":6,"00060708":[],"00061058":5,"00062582":[],"00062595":6,"00066668":6,"00068734":6,"00068941":[],"00068946":6,"00069103":[],"00073541":5,"00074389":[],"00075315":[],"000755":[],"00075534":[],"00076495":6,"00076905":6,"00076919":[],"00076925":[],"0007698473260556325":6,"0007698473260556334":[],"0007698473260556339":[],"0007698473260556344":6,"0007790285013223805":9,"00079123":[],"00079129":6,"00079130":[],"00079968":5,"00084705":6,"00084711":[],"000854409696581":20,"00085883":[],"00085884":[],"00085889":6,"00087697":6,"00088573":5,"00089459":[],"00092645":[],"00092646":[],"00092647":6,"00096314":5,"001":[1,2,8,13],"00100519":6,"0010479245355337968":[],"0010479245887943952":[],"0010479245926411787":6,"00105081":6,"00106677":5,"00107405":6,"00111756":6,"00112431":[],"0011526":6,"00115999":5,"0011828302640124":[],"00118368":[],"00118504":[],"00118508":6,"00118527":[],"001263":[],"00128479":5,"00128634":[],"00131939":[],"001323":6,"00137818":6,"00137823":[],"00137835":[],"00139198":[],"00139705":5,"00145838":[],"00147197":[],"00149311":6,"00149956":6,"00152117":6,"00152188":[],"00154733":5,"00156376":6,"00156379":[],"00156382":[],"00158723":[],"00162091":18,"00168141":[],"00168251":5,"00174276":6,"00174508":[],"00175331":6,"00186347":5,"001880":5,"00191249":[],"001988":[],"00198806":[],"00200":8,"00201915":[],"00202464":[],"00202624":5,"00202756":6,"00207627":[],"00217499":6,"0021877":[],"00220229":[],"00224413":5,"00228741":[],"00228742":6,"00233155":[],"00233441":[],"0023548":6,"002381316302584885":[],"002381316302584886":6,"0023813163025848865":6,"00242999":6,"00243186":6,"0024401":5,"00249435":6,"0025074":[],"0025125":[],"00252344":[],"002526":[],"00266858":2,"00267599":[],"00270244":5,"00274989":6,"00275135":[],"00287154":[],"00289724":6,"00293838":5,"002948":[],"0030828":[],"003083":[],"003100":23,"00310113":2,"00312361":6,"00315593":6,"003215318065760509":[],"0032153180657605116":6,"0032153180657605125":[],"00323332":6,"0032542":5,"003301":6,"0033955154592040923":6,"003395515459204093":[],"0033955154592040944":[],"00353823":5,"0035417":[],"00355118":[],"00355175":[],"003620":23,"0036237":6,"0036367":6,"00369758":6,"003704":[],"003717":[],"00373019":[],"003738":[],"003759":[],"003774":[],"003788":[],"0038335":6,"00388494":[],"00390021":[],"003909404072811217":[],"003909404072811221":6,"003909404072811231":[],"00391839":5,"00393128":[],"00397836":[],"0039987":6,"004":5,"00403785":[],"00406231":[],"00407056":[],"004091940707753925":6,"004091940707753948":[],"0040919407077539514":[],"00410387":6,"00410478":6,"004113634617443116":[],"0041136346174431284":[],"004113634617443131":[6,24],"004113634617443135":[],"004113634617443139":[6,24],"00411363461744314":[6,24],"004113634617443141":[],"004113634617443147":[6,24],"00415473":[],"0041559863458613296":6,"004155986345861364":[],"004155986345861374":[],"00415763":[],"00416461":[],"00424909":2,"00424967":6,"00426027":5,"00427039":[],"00431511":[],"00432302":[],"00433417":11,"00437363":[],"00440346":6,"00443743":6,"00444561":[],"00445655":11,"00449439":[],"00452742":[],"004579219539673834":6,"004579219539673836":[],"00458014":18,"00458671":[],"00458878":6,"004610275230656182":6,"004610275230656187":[],"004610275230656294":[],"00462287":6,"00465403":[],"00471782":5,"00472199":6,"00472512":6,"0049544":6,"004999999999999984":[],"00499999999999999":[],"004999999999999994":[],"004999999999999996":0,"005":[],"0050000000000000044":[],"005000000000000011":[],"00506501":[],"00512927":5,"00517114":6,"00523269":[],"00526348":6,"0053018":6,"00537912e":20,"00546438":[],"00548686":[],"0055043":[],"00554552":6,"00556826":6,"0056799":5,"00569317":[],"00577441":[],"00578738":[],"00578776":[],"00579953":6,"00588657":6,"00607783":6,"006158537606875468":[],"006162":6,"00617499":5,"00625843":[],"006275173922218319":[],"00630331":6,"00642221":6,"00645183":[],"00660427":6,"00661104":[],"0066916":[],"00672607":6,"00673393":[],"00673407":6,"00676387":6,"0068011":6,"0068094":[],"00681644":[],"00683748":5,"00683964":6,"00689391":[],"00695357":[],"007012403613997257":[],"007024126888936694":[],"007024126888938144":6,"0070241268889382116":[],"00704468":[],"00706459":[],"00708794":[],"00715835":[],"00719176":6,"0072559952738542694":24,"00727646693":[0,23],"007315":[23,24],"00732273":[],"007334080205654388":[],"00733497":[],"00740173378493795":[],"0074331":5,"00751823":[],"00754532":[],"00758025":[],"00759119":6,"00770648":[],"00779538":[],"00779804":[],"00780259":[],"00781035":[],"007839875253055148":[],"00784393":6,"00791291":[],"00801078":[],"00803064":6,"00808144":[],"0080866254785146":[],"008089688732934681":24,"00813803":6,"00817056":[],"00817631":6,"00820764":[],"00823002":5,"00827728":6,"008278885543361304":[],"00831018":6,"00834567":6,"00839839":[],"008435888964550838":[],"0084603":[],"00848904":6,"00851638e":24,"008550594684081035":24,"0086649156":[0,23],"008675369724975977":5,"008675369724976501":[],"00867698":[],"00868337":[],"00877989":[],"008818897251043893":[],"00882596":13,"00894639":5,"008947823579448178":5,"00905423":6,"00911938":[],"009163470508352211":[],"009163470508352218":5,"009164545680330616":6,"00917248":6,"00934327e":24,"00934499":6,"00934728":[],"00943261":[],"009450756365829578":[],"00950269957492606":[],"0096208":6,"00965032":[],"0097018":[],"00990475":5,"00992331":6,"00996754":6,"009981":[],"00998135":[],"00it":6,"01":[0,1,2,5,6,9,11,13,20,22,23,24],"010018312644139205":[],"010018312644139219":6,"010018312644139347":[],"01006893":[],"0100706":6,"010154":[],"01023891":[],"010239":[],"01029589":[],"010331721306655144":[],"01033172130665515":[],"010331721306655165":6,"01037947":[],"010516485576646504":6,"010516485576646513":[],"010516485576652856":[],"010530":[],"01053024":[],"01056549":[],"01066519":6,"01073921":[],"010751622516868333":[],"01076611":5,"010902":23,"0110":20,"0110407067093945":[],"01104071":[],"011076219011339788":[],"01107621901137465":[],"01107621901137467":6,"011225":2,"0113104":6,"01133171":[],"01135107":[],"0113975":[],"01152107":[],"01176895":[],"01179792":6,"01191824":5,"01199624e":[],"01200342":[],"01206708":[],"012073649439965807":[],"012073649469946107":6,"012073649472576395":[],"01207435":[],"01212754811385597":[],"01219292":6,"01222822":24,"01223198":6,"01231917":6,"0123679":[],"01242273":[],"01242803":[],"01244295e":20,"01247056":13,"01248731":[],"01256189":[],"01257962":[],"012580":[],"012633802944855959":[],"01265755":24,"012658":24,"01285424":[],"01290947":6,"01295356":5,"013121573975499602":[],"013121573975499604":[],"01312157406137079":[],"013121574061370796":[],"013121574062587286":6,"01318643":6,"01323884":[],"01326608":[],"01347916":6,"01348565":6,"013537225644261203":[],"0136671":[],"01367553":6,"01381723":[],"01397146":6,"01405935":6,"01406736":[],"01416528":6,"014209325470380275":[],"01422494":[],"01422853":18,"01433809":5,"014436800088896274":[],"014436800088896381":6,"014436800088969727":[],"01449782":6,"01458337":6,"014586":24,"01458611":24,"014599964106338128":[],"0146081":6,"01463049":6,"01471878":[],"01479194":[],"01494533":[],"01497781":[],"015072388895177088":[],"0150723888951771":6,"015072388895177109":[],"015072388895177157":6,"015072388895177239":[],"01509543":[],"01510929":13,"01530715721129232":[],"01531845":6,"01538461538462":[],"01539":[],"01542944":[],"01549377":6,"01550656":[],"01551946":[],"01558197":5,"01558461":[],"0156548":[],"01572164":[],"01574091":[],"01574375":[],"01586048":[],"01588614":[],"01588619":[],"01591355407242949":[],"01614046":[],"01619802":[],"016285782696017055":[],"016285782696017142":6,"016285782696075054":[],"01631138":[],"01633913":6,"01640891":6,"0164286":[],"01646892":23,"01654471":[],"01655318":6,"0165866":[],"016587414993037307":[],"016587414993045335":6,"016587414993045405":[],"01678286":[],"01691985":6,"01693":[],"01693278":[],"0169643":5,"01708781":6,"01708852":6,"01713366":6,"0171347":[],"01724499":5,"01725808":[],"01735584819559184":[],"017355848195591845":[],"01735584819559331":6,"017355848195593312":6,"017355848195593354":[],"01742183":[],"01751529":[],"01756972":[],"01761413":[],"017665":5,"01770163":[],"01783414e":24,"01788423":[],"01799917e":[],"01816821":[],"01817152":[],"01817919":[],"018232":[23,24],"01831036e":[],"01831130e":[],"01831200e":[],"01831207e":6,"01831251e":6,"0183718":[],"01840062":[],"01844381":[],"01852793":[],"01866537":6,"01869785e":[],"01871582":[],"01873344":11,"01873869":5,"01885351":[],"0189082":[],"01898855":6,"01905883":6,"01907538":[],"01908936":6,"01923991":[],"0193453":[],"01943082":[],"01944669":[],"01957153":[],"019587":[],"01960258":[],"01963611":6,"01969145":6,"01975416527168255":6,"019754165271682844":[],"01975416527179247":[],"01975848":6,"01990155":[],"02":[0,4,6,7,12,20,23,24],"02008059":[],"0202458":[],"020246":[],"02024962":6,"0202731":[],"02035804":[],"02054837e":6,"02058701":[],"02068067":6,"02073509":5,"02082761":[],"02086933":[],"02090061":[],"0209518407597062":[],"02098261":6,"0211496":[],"02123176":6,"021250026482402":[],"02129803":[],"0214539":[],"02158709":13,"02159270458799264":[],"021592704587992645":[],"021592704588021164":[],"021592704588021167":[],"021592704588021174":6,"021592704588021178":6,"02160095e":24,"02166269":[],"02195273":[],"02198702e":6,"02198703e":6,"02200044":[],"022022882954618364":[],"02206138":[],"022075":[],"02207532":[],"02208512":6,"02212776":[],"02212893":[],"02226654":[],"02228115":6,"02229529":6,"02252765":5,"022556":[],"02255619":[],"02263868":[],"02298589":[],"02299949826036602":[],"022999498260366198":6,"0229994982603662":[],"02335522":[],"02344111":[],"0234505":[],"02348765":6,"02354476":[],"023545":[],"02365049":6,"02376036":[],"02377668":18,"02383034":[],"02401344":[],"024023115996453476":[],"02408959":[],"02421521":[],"02422503":[],"02442398":[],"0245528":6,"02492265":5,"02493054":[],"02498832":6,"02503753":6,"02511518":6,"02521597":[],"02522069":6,"02539993":[],"02541796":[],"02551463":[],"02566258":[],"025709":[11,24],"02586427":6,"02596838":[],"0260906":6,"02612167":[],"02625193":8,"02625928":[],"026408391362671896":[],"02642055e":[],"02649453":[],"026605727637176654":[],"026605727637184554":6,"026605727637184558":6,"02660572763718461":[],"026605727637184613":[],"02697521163514974":[],"026986":[],"02698605":[],"02699523":18,"02701924":[],"02707227":5,"02708158":[],"02712723":[],"02723445":6,"02724253":[],"02747522":[],"027609773491022314":[],"02760977349102238":6,"027609773491022387":[],"027609773491022394":6,"027609773491022407":[],"02762405215108776":[],"02766489e":20,"02766981":[],"02783644":23,"02786488":[],"027865":[],"02803041":[],"02808201":[],"02818883":[],"02840224":[],"02857":4,"02862254":[],"02868501":[],"02900131":[],"02917662":[],"029177":[],"02917931":[],"02926396":[],"02928941":[],"029483":5,"02951554e":24,"029613363972682966":[],"02970592":[],"02971158":[],"029733":[23,24],"02976145":6,"02979908":[],"02994311":5,"02f":6,"02it":[],"03":[1,6,24],"03026672":[],"03032441e":6,"030407120354722424":[],"03056589":[],"030566":[],"030693":[],"03069324":[],"03071040e":[],"03076923076924":[],"03077640549":4,"03078597":[],"03079528":[],"03080664":[],"03099776":5,"031":5,"03168642":[],"0317159":[],"031846":[],"03184647":[],"03187054":[],"03187339273559067":[],"03196357":6,"032":6,"03206303":[],"03232013":[],"03232719":[],"03235599":[],"03251863":5,"03255258":[],"03256632e":1,"03265139":23,"03267527":6,"03278964":[],"032790":[],"03279636":6,"033":6,"0330308045180234":[],"0330308045183163":[],"0330308045183219":6,"0330308045188872":6,"0330308045190182":[],"03308408":5,"03324117":[],"03326365":[],"033264":[],"03352725":[],"033657685071527485":[],"033657685071527624":[],"03365768507152769":6,"03371334":[],"03382304823545749":[],"034047":23,"03423556":[],"03437582":[],"03447512":6,"034557":24,"0348171":[],"03483677":23,"03500198":[],"03509912":[],"03510756":[],"03523311":[],"03533092":[],"03536673":[],"03562355":6,"03568439":6,"03570747":[],"03583342":[],"0358909447132981":[],"035909":23,"0359565":5,"03610331":[],"03630548":6,"03634298":[],"03707133":11,"03724642":[],"03739357":[],"03739417":[],"037559":[],"03755944":[],"03761519":[],"03781367141738885":[],"03781367141738886":[],"037813671417388985":[],"03781367141738899":[],"03781367141738902":6,"03791967":[],"03794112":[],"03807267":[],"038073":[],"03814292":6,"03815288":6,"038300":[11,24],"03850557":[],"038506":[],"03893106":[],"039039":5,"03932541e":24,"03981057":[],"03995478":[],"0399676689527966":6,"0399676689527968":[],"0399676689527975":6,"04":[1,6,11,24],"040102":5,"04010697":6,"04028979":[],"04046799":[],"04063602":6,"04075841e":24,"040863":11,"04086326":11,"04087592":[],"041":9,"04100738":[],"04101587":[],"041148729430502":[],"041148729430523":6,"0411487294305246":[],"0411487294305746":[],"041148729430595":6,"04120281":[],"04179719":[],"041797190646905":[],"04193203":24,"04208001":[],"04220758":6,"04234339":18,"042708":[],"04279651270127165":[],"04284519":[],"043":9,"04315108":5,"04331431":[],"0433816":[],"04346721":5,"04355837":6,"04362":9,"04368707":[],"0437499":2,"04389027":6,"043927769551648":[],"04413933503955871":[],"04419696":[],"04423486":6,"04426744e":24,"04426816":[],"044334":[23,24],"0443659":[],"0444119":[],"044613":6,"04483457":[],"04495095":[],"04496448":[],"04516608":[],"04537385":6,"04543942":6,"04554454":[],"045603":[],"04566964":6,"04573057":[],"04573105":[],"0458":9,"0459682":[],"04615384615386":[],"04621521":[],"04637311":[],"04648335":5,"046491":[],"04649105":[],"0466":[],"04670006":[],"04673082":[],"046731":[],"046785461905835435":[],"04678736":[],"04683565":5,"04735806":[],"047737":[],"04775904":[],"04784395":6,"04785727":[],"04787099":[],"047953":[],"04818727730430286":6,"04818727730430296":[],"048187277304303056":[],"048547423739546604":20,"048653428302840175":[],"048762":[],"048818":[],"048920":23,"04892055":6,"04909093":6,"04912436":6,"04930820e":[],"049318":[],"049462":23,"0495569966278238":[],"0495569966278269":6,"0495569966278295":6,"0495569966278315":[],"04965397e":20,"049747":[],"049858":[],"0499586":[],"049960":[],"04996008":[],"04it":[],"05":[1,4,6,13,24],"05004617":[],"05009826":6,"05087958":[],"050910":[],"05100875":6,"051043":[],"051391":[],"051418":5,"051451":[],"05150928":[],"051649":[11,24],"051662":[],"0517473":5,"052206":[],"052227":[],"05227921801205679":6,"05227921801205691":[],"05227921801205692":[],"052279218012057004":[],"052305":24,"052330":[],"052372":[],"0525221":18,"05255759":[],"052581":[],"05263":9,"05268304":[],"0527437":13,"05290417684691035":[],"05302":9,"053417":24,"0536097":[],"05363779":18,"05364854":8,"05367466":[],"053678":[],"05383795":6,"053849":5,"05402365":[],"054182":[],"054244842835462305":20,"054305":[],"054335":[],"054340":[],"05434571":[],"054411":[],"05447415":6,"054491":[],"054582":[],"054585":[],"054617":24,"054650":[],"054655":24,"054774":[],"054785":[],"05483267":[],"05491655":[],"054963":[],"05505310046362":[],"05505310046363":2,"055137":[],"055153":[],"055302":[],"055320":[],"05533":9,"055337":[],"055344":[],"055369":[],"055676":[23,24],"055684":[],"055734":24,"055859":[],"05587489":11,"055875":11,"055910":24,"055958":[],"055987":24,"056127":[],"056131":[],"05614483":5,"056165":[],"056169":[],"05622775":[],"05623":9,"056233":[],"056235":[],"05635863":18,"056468":[],"05648":9,"05651951":6,"056528":[],"05667":9,"056683":24,"05698425":[],"057088709963182":[],"057163681553428394":[],"05716368155342902":6,"05716368155351588":[],"0572":[],"057300":24,"057393":24,"057418":24,"057457":24,"057469":[],"05756733":[],"057587":[],"057588":[],"057648":[],"057686":[],"057722":24,"057835":24,"05785343":6,"057877":[],"05789007":6,"057899":[],"05796251":6,"058033":[],"058035":[],"058038":[],"058040":[],"058058":[],"05807125":6,"058088":[],"05833369":[],"058343":[],"05834332":[],"058416":[],"05850532":[],"058552":24,"05855607":[],"058585":[],"058596":[],"058645":24,"058663":[],"058715":[],"058732":[],"058740":[],"058816":[],"05883":9,"05884":9,"058854":24,"058890":[],"05892262":[],"058948":[],"058952":24,"058955":[],"058957":[],"058974":[],"058996":24,"059013":[],"059031":24,"059180":[],"059272":[],"059278":[],"059294":[],"059378":[],"059437":[],"059601":[],"059783":[],"059795":[],"059807":24,"059824":[],"059933":[],"059951":24,"059952":[],"05999":9,"059993":24,"06":[6,24],"060016":[],"060048":[],"060080":[],"060083":24,"06008452":[],"060146":[],"060183":[],"06020587":6,"06021285":[],"060213":[],"060228":[],"060254":24,"060288":[],"060309":[],"06031681":[],"060349":23,"06038053":[],"06043581":6,"060502":[],"060507":[],"060550":[],"060649":[],"060655":[],"060716":24,"060756":24,"060781":[],"060841":[],"060863":[],"060872":24,"060875":[],"060963":[],"061025":[],"061028":[],"061048":[],"061054":[],"061133":[],"061144":[],"061149":[],"061163":24,"061188":[],"061209":[],"06121384":[],"061272":[],"061297":[],"061308":[],"061321":[],"061359":24,"06136773":23,"061390":[],"061443":24,"061452":24,"06150169":[],"061502":[],"061505":[],"061509":[],"061538":[],"061604":[],"06160438":[],"061614":24,"061646":[],"061679":23,"061685":[],"06168748":[],"061701":[],"061716":[],"061725":[],"061745":[],"061765":[],"061821":[],"061898":[],"061917":[],"061923":[],"061966":[],"06200174":5,"062016":24,"062061":[],"062062":[],"062064":[],"06208238634231944":[],"062082386342319454":6,"06208238634231953":[],"062089":[],"062097":[],"062136":[],"062142":[],"062195":[],"062220":[],"062292565":4,"062294":[],"062305":[],"062333":[],"062337":24,"062370":[],"062391":[],"062409":[],"062411":[],"062435":[],"062451":[],"062498":[],"062517":[],"062534":[],"062551":[],"062563":[],"062599":24,"0626202708457115":18,"062624":24,"062640":[],"062665":[],"062676":[],"062706":[],"062719":[],"062773":[],"062777":[],"062827":[],"062834":[],"062874":24,"06287717":[],"062881":[],"062884":[],"062888":[],"062920":5,"06292011":5,"062983":[],"063014":[],"063019":24,"063024":[],"063052":[],"063061":24,"063078":[],"063080":24,"063084":[],"063125":[],"063173":[],"063192":[],"06319374":[],"063241":[],"063250":[],"063260":24,"063287":[],"063343":[],"063364":[],"063371":[],"063375":[],"063401":[],"063443":23,"063493":[],"063513":[],"063524":[],"063612":[],"063619":[],"063631":[],"063653":24,"063657":[],"063724":23,"063752":[],"063781":[],"063851":[],"063857":[],"063872":[],"063874":[],"06388888888888888":[],"063894":24,"063977":[],"063979":[],"064041":[],"064052":[],"064062":[],"064074":24,"064081":[],"064108":[],"064110":[],"064184":[],"064274":[],"064284":[],"06432223":[],"064329":[],"064384":[],"064388":[],"064431":[],"06444":9,"064442":[],"064459":[],"064461":[],"064469":[],"064483":[],"064501":24,"06453579006728315":[],"06453579006728322":6,"064538":[],"064573":[],"064604":[],"064606":24,"064609":24,"064618":[],"064623":[],"064634":[],"064637":[],"064648":[],"064658":[],"064681":[],"064684":[],"064699":24,"064753":[],"064787":[],"064793":24,"064823":[],"064838":[],"064859":[],"06486061":23,"064880":[],"064896":[],"06491736":6,"064918":[],"064931":[],"064937":[],"064964":[],"06497046":[],"064974":[],"065020":[],"065026":23,"065032":[],"065077":24,"065095":[],"065106":[],"065110":[],"065118":[],"065165":[],"065168":[],"065183":[],"065228":[],"065249":[],"065252":[],"065282":[],"065314":[],"065348":[],"065349":[],"065378":24,"06538944":23,"065390":24,"065410":24,"06547790180152352":6,"06547790180152353":[],"06547790180152355":6,"06547790180152357":[],"06547790180152363":[],"065514":[],"065537":[],"065557":[],"065575":[],"065641":[],"065657":[],"065680":[],"065730":[],"065761":[],"065796":[],"065826":[],"065846":[],"065869":[],"065892":[],"065942":[],"065973":[],"065974":[],"065983":[],"06602663":[],"066051":[],"066056":[],"066064":[],"066066":24,"066093":[],"066110":[],"066189":[],"066194":[],"066220":[],"066223":[],"066228":[],"066241":[],"066270":[],"066284":[],"066309":[],"066340":[],"066348":[],"066356":[],"06637":9,"066388":[],"066449":[],"066474":24,"066500":24,"066528":[],"066553":[],"066558":[],"066569":[],"066580":[],"066590":[],"066609":[],"066612":24,"06662062":[],"066647":24,"066651":[],"066654":[],"066670":[],"066675":[],"0666807":2,"066714":[],"066729":[],"066741":[],"066753":[],"066787":24,"066789":[],"066808":[],"066828":[],"066837":[11,24],"066850":[],"066854":24,"066870":[],"066873":[],"066919":[],"066934":[],"06695337":[],"066954":[],"066999":24,"067011":[],"067079":[],"067110":[],"067141":[],"067162":[],"067191":[],"067213":[],"067236":[],"067240":[],"06724062":5,"067282":[],"067392":[],"067402":[],"067432":[],"067437":[],"067443":[],"067449":[],"067484":[],"067499":[],"067506":[],"067525":[],"067527":[],"067544":[],"067547":[],"067560":[],"067585":[],"067597":[],"067599":[],"067612":[],"067615":[],"067620":[],"067622":[],"067637":24,"067675":[],"067693":[],"067707":24,"067709":[],"067710":[],"067712":[],"067714":[],"067719":[],"067720":[],"067723":[],"067767":[],"067769":[],"067775":[],"067787":[],"067854":[],"067856":[],"067864":[],"06786925114666595":[],"067907":[],"067908":[],"067934":[],"067956":[],"068019":[],"068059":[],"068075":[],"068087":[],"068093":[],"068094":[],"068098":[],"068103":[],"068104":[],"068110":[],"068120":[],"068136":[],"068197":[],"068210":[],"068261":[],"068264":24,"068307":24,"068318":[],"068345":[],"068358":[],"068363":[],"068376":[],"068391":[],"068417":[],"068441":24,"06844519414009438":[],"06844519414009442":[],"06844519414009444":6,"06844519414009445":6,"068461":[],"068500":[],"068505":[],"068525":[],"068538":[],"068541":[],"068573":[],"06858699":[],"068593":[],"068608":[],"068619":[],"068629":24,"068642":[],"068654":[],"068659":[],"068664":[],"068689":[],"068724":[],"068727":24,"068735":[],"068776":[],"068799":[],"068806":[],"068809":[],"068831":[],"068841":[],"068852":[],"068867":[],"068906":24,"068920":[],"068937":[],"068953":[],"068965":[],"068991":[],"068992":[],"068999":[],"069010":[],"069015":[],"069028":24,"069036":[],"069044":[],"069065":[],"069085":[],"069091":[],"069181":[],"069187":[],"069202":[],"069231":[],"069242":[],"069268":[],"069275":[],"069276":[],"069281":[],"069285":[],"069355":[],"069386":[],"069408":[],"069409":[],"069421":[],"06942103":[],"069436":[],"069441":[],"069452":24,"069454":[],"069455":[],"069465":[],"069475":[],"069476":[],"069494":[],"069506":[],"069534":[],"069578":[],"069584":[23,24],"069626":[],"069640":[],"069651":[],"069654":[],"069667":[],"069672":[],"069681":[],"069685":[],"06969872":[],"069748":[],"069754":[],"069796":[],"069801":[],"069838":[],"069847":[],"069877":[],"069884":[],"069888":[],"069903":[],"069907":[],"069912":[],"069977":[],"06it":6,"07":[6,24],"070018":[],"070028":[],"070034":[],"070043":[23,24],"070056":[],"070071":[],"070074":[],"070105":[],"070146":24,"070150":[],"07016":9,"070163":[],"07017":9,"07019610e":20,"070213":24,"070216":[],"070222":[],"070276":[],"070288":[],"070333":[],"070339":[],"070343":[],"070370":[],"070379":[],"07039":9,"070419":[],"070428":[],"070429":[],"070443":[],"070450":[],"070453":[],"070457":24,"070466":[],"070491":[],"070492":[],"070494":[],"070518":[],"070562":5,"070576":[],"070582":24,"070585":[],"070612":[],"070618":[],"07062318":6,"070630":[],"070635":[],"070737":24,"070775":[],"070794":5,"070810":[],"070835":[],"070860":[],"070871":[],"070874":[],"070887":[],"070889":[11,24],"070911":[],"07093644":[],"070945":[],"070950":[],"070959":[],"070961":[],"070972":[],"070986":24,"07099747918547346":[],"071003":[],"071009":[],"071022":[],"071044":[],"071051":5,"071071":5,"071084":5,"071086":[],"071106":[],"071112":[],"071115":[],"071120":[],"071136":[],"07115":9,"071164":5,"071239":[],"071243":[],"071284":5,"07128434":20,"07129539":[],"0712953943627344":[],"0713":[0,23],"071326":[],"071329":[],"071387":[],"071388":[],"071392":5,"071394":[],"071421":[],"071438":5,"07143876":[],"071441":[],"071445":[],"07145103":11,"071460":[],"071467":[],"071476":[],"071480":[],"0714956":[],"071505":[],"071510":[],"071515":[],"071523":[],"071529":[],"071547":[],"071552":[],"071569":[],"071585":[],"07160048164232467":[],"07160048164232538":6,"0716004816423254":6,"07160048164248561":[],"071604":[],"071614":[],"071632":[],"071641":[],"071666":[],"071698":[],"071705":[],"071741":[],"071751":5,"071767":[],"071804":[],"071836":[],"071852":[],"071897":[],"071901":[],"071906":[],"071908":[],"071920625289855":[],"071921":[],"071922":[],"071935":[],"071942":5,"071946":[],"071949":[],"07195822":23,"071991":[],"072000":24,"072008":[],"072011":[],"07201957":[],"072021":[],"072041":[],"072084":[],"072091":[],"072111":24,"07212695":[],"072127":[],"072132":24,"072145":[],"072147":[],"072150":[],"072184":[],"072198":[],"072216":[],"072222":[],"072240":[],"072242":[],"072290":[],"072342":[],"072348":[],"072352":[],"072361":[],"072364":[],"072370":[],"072435":[],"072442":[],"072452":[],"072471":[],"072476":24,"072483":[],"072492":[],"072521":[],"072523":[],"072529":[],"072530":[],"072554":[],"072558":[],"072569":[],"072575":[],"072597":[],"072598":[],"072611":[],"072617":[],"072618":5,"072620":[],"072621":24,"07264063e":20,"072647":[],"072651":[],"072652":[],"072750":[],"072751":[],"072783":[],"072798":[],"072813":[],"072824":[],"072828":[],"072839":[],"07285":3,"0728785":[],"072898":[],"07291729":[],"072918":[],"072928":[],"072955":[],"072958":[],"072970":[],"072974":[],"07297557":[],"072994":[],"073013":[],"073016":[],"073045":[],"073052":[],"073062":[],"073080":[],"073105":[],"073120":[],"073134":[],"073136":[],"073159":[],"073183":[],"07319349":[],"073206":[],"073225":[],"073230":[],"073238":[],"073280":[],"073299":[],"073303":[],"073320":[],"073325":5,"073344":11,"073362":[],"073363":11,"073368":[],"073369":[],"07337358":[],"073374":[],"073380":[],"073388":5,"073391":[],"073400":[],"073423":[],"073433":[],"073436":[],"073449":[],"07345504":[],"073477":11,"073489":[],"073506":[],"073531":[],"073548":[],"073567":[],"073575":[],"073583":[],"073597":[],"073598":[11,24],"073601":[],"073629":[],"073644":24,"073647":[],"073657":[],"073668":[],"073684":11,"073695":[],"073699":[],"073716":[],"073719":[],"073750":[],"073761":[],"073768":[],"073777":[],"073810":[],"073811":[],"073816":[],"073827":[],"073831":[],"073904":[],"073907":[],"073925":[],"073938":[],"073949":[],"073959":[],"073985":11,"0739975":[],"074006":[],"074019":[],"074034":[],"074050":[],"074061":5,"074067":[11,24],"074084":24,"074111":[],"07413172":[],"074144":[],"074149":[],"074180":11,"074183":[],"074187":5,"074210":24,"07421084":5,"074237":[],"074258":[],"074276":[],"074323":24,"074336":[],"074346":[],"074375":[],"074401":[],"074418":[],"074420":[],"074453":11,"074480":[],"074488":[],"074513":[],"074530":[],"074552":[],"07456491":5,"074569":[],"074573":[],"074592":[],"074666":[],"074684":[],"074693":[],"074708":[],"074715":[],"074729":[],"074743":[],"074760":[],"074763":[],"074773":[],"074818":5,"074819":11,"074833":[],"074838":[],"074839":[],"074845":[],"074881":[],"074905":[],"07490892":6,"074922":[],"074945":[],"074969":[],"074980":[],"074984":[],"074986":[],"074992":[],"075012":[],"075014":5,"075017":[],"075020":[],"075028":[],"075043":[],"075058":[],"075061":[],"075079":5,"075102":[],"075136":[],"075138":[],"075145":[],"075149":[],"075181":[],"075188":[],"075192":[],"075195":[],"075201":[],"075222":[],"075227":[],"075228":[],"075241":[],"075262":[],"075277":11,"075302":[],"07532297":[],"075335":[],"075356":[],"07535606":[],"075389":[],"075433":[],"075498":[],"07557024":[],"075573":[],"075586":[],"075594":[],"075612":[],"075618":[],"075629":[],"07565581":23,"075728":[],"075760":[],"075770":[],"075797":[],"075816":24,"075820":[],"075829":11,"075840":[],"075863":5,"075889":24,"075899":[],"075959":[],"075982":[],"075987":[],"075996":5,"076022":[],"076055":[],"076066":[],"076079":[],"07608141":[],"076096":[],"076097":[],"076121":[],"076130":[],"076150":24,"076173":[],"076204":[],"076216":[],"076248":[],"076264":[],"076270":[],"076282":[],"076306":[],"076315":[],"076329":[],"076338":[],"076349":[],"076389":[],"0764924":6,"076518":[],"076525":[],"076532":[],"07656896":[],"076588":[],"076589":[],"076604":[],"076619":[],"076628":[],"076632":[],"076637":[],"076665":[],"076697":[],"076726":[],"076729":[],"076760":[],"07678":9,"076780":[],"076783":[],"076795":[],"076804":[],"076821":[],"076843":[],"076862":[],"076866":[],"076886":[],"076895":[],"076905":[],"07692307692307693":9,"076927":[],"076935":5,"076938":[11,24],"076942":[],"076955":[],"076958":[],"076990":[],"077003":[],"077004":5,"077009":[],"077013":[],"077015":[],"077022":[],"077033":[],"077062":[],"077079":5,"077083":[],"077108":[],"077131":[],"077140":[],"077144":[],"077158":[],"077164":[],"077168":24,"077200":[],"077203":[],"077211":[],"077219":[],"077228":[],"077291":[],"077338":[],"077349":[],"07735703":[],"077359":[],"077372":[],"077375":[],"077397":11,"077402":[],"077419":[],"077425":[],"077428":[],"077452":[],"077460":24,"077467":[],"077499":[],"077511":[],"077604":5,"077607":[],"077620":[],"077644":[],"077688":5,"077706":[],"077711":[],"077724":[],"07777777777777778":1,"077785":[],"077793":[],"077822":[],"077846":[],"077921":[],"077930":[],"077948":[],"077949":11,"077978":[],"077986":[],"078033":5,"078040":[],"078042":[],"078082":[],"078101":[],"078110":24,"078143":[],"078157":[],"078158":[],"078165":5,"078167":[],"0782":[],"07820":9,"078211":[],"078253":[],"078254":[],"078269":[],"078293":5,"07829878":18,"078299":[],"078300":[],"078314":[],"078323":[],"078326":5,"078336":24,"078432":[],"078436":[],"07844310540708652":[],"078484":[],"078508":[],"078540":24,"078542":[],"078548":[],"07858099596662704":[],"078582":11,"078587":[],"078609":[],"07864":9,"078646":[],"078651":[],"078652":11,"078667":[],"078672":[],"078697":[],"078704":[],"078707":[],"07871":9,"078710":[],"078719":[],"078725":[],"078749":[],"078759":5,"078768":[],"078771":[],"078776":[],"07878641":[],"078795":[],"078812":[],"078845":[],"078860":[],"078880":5,"078899":[],"078908":[],"078911":[],"078942":[],"078962":[],"078974":24,"07897647347778382":[],"07898165660100093":[],"078986":24,"078992":[],"078999":5,"079001":[],"079021":[],"07903849":[],"079043":5,"079056":[],"079110":[],"079142":[],"079152":5,"079157":[],"079158":[],"079179":[],"079214":[],"079218":[],"079224":[],"079225":[],"079242":[],"079260":[],"079264":[],"079268":[],"079273":[],"079278":[],"079281":[],"079298":11,"079306":[],"079347":[],"079379":5,"079383":[],"079389":[],"079405":[],"079406":[],"079424":[],"07943621":[],"079437":11,"079438":[],"07944154":[18,23],"079443":[],"079447":[],"079448":5,"079476":[],"079483":[],"079486":[],"079489":[],"079493":[],"079495":[],"079499":5,"0795449":[],"079553":[],"079558":[],"079580":5,"079609":[],"079618":[],"079622":[],"079631":[],"079676":[],"079680":5,"07968918676726029":[],"0796891867672603":6,"079704":5,"079719":[],"079729":[],"079741":5,"079745":5,"079819":[],"079823":[],"079827":5,"079839":[],"079847":[],"079882":[],"079893":[],"07989327":[],"079901":[],"079944":[],"079946":24,"079948":[],"07995375":23,"079991":[],"07999999999998":[],"07e":[],"08":[9,20,24],"080026":[],"080048":5,"080056":[],"080060":5,"080061":[],"080070":5,"080098":11,"080106":[],"080120":[],"080137":[],"080200":[],"080249":5,"080256":[],"080288":[],"080295":5,"080297":[],"080305":11,"080312":[],"080319":[],"080332":[],"080334":[],"080343":[],"080347":[],"080370":[],"080374":11,"080395":5,"080406":[],"080407":[],"080410":[],"08041015":[],"080434":5,"08043851":5,"080455":[],"080479":[],"080502":[],"080517":[],"080518":5,"080548":5,"080555":[],"080571":[],"080582":[],"080588":[],"080593":[],"080616":24,"080630":[],"080635":5,"080641":5,"080642":[],"080647":[],"080699":[],"080706":[],"080738":[],"080764":24,"080780":5,"080801":[],"080821":[],"080839":5,"08084392":[],"080847":[],"08085812":[],"080916":[],"080922":[],"080973":[],"080984":[],"080998":[],"081007":5,"081022":[],"081046":[],"081072":[],"081140":[],"081144":[],"081163":[],"081194":5,"081198":[],"081211":[],"081216":[],"081233":[],"081253":[],"081258":11,"081262":[],"081276":24,"08131003":6,"081311":[],"081321":[],"081334":[],"081343":[],"081357":[],"081388":[],"081395":11,"081396":[],"081431":[],"081468":[],"081471":5,"0814721":[],"081481":5,"081483":[],"081503":[],"081520":[],"081533":5,"081540":[],"081547":[],"081559":5,"08156108":6,"081576":[],"081613":[],"081620":11,"081637":[],"08165104":24,"081655":24,"081707":[],"081773":[],"0818000034712947":20,"081832":[],"081837":[],"081848":[],"08188077":[],"081881":[],"081932":[],"081953":[],"081989":[],"081990":[],"082014":[],"082027":[],"082040":11,"082089":5,"082105":11,"082122":[],"082139":5,"082140":[],"082145":11,"082158":11,"082166":11,"082174":[],"082183":[],"082189":[],"082204":[],"082267":[],"082282":[],"082285":11,"082286":[],"082288":[],"082295":[],"0823185":[],"082339":[],"082424":[],"082426":[],"082431":[],"082451":[],"082501":11,"082503":[],"082509":5,"08251519":6,"082536":[],"082553":11,"082569":11,"0825971":23,"082620":[],"082642":[],"082653":24,"082683":[],"08271198519070039":[],"082716":[],"082756":11,"082779":11,"082786":[],"08281969e":20,"082839":5,"082846":[],"082852":[],"082874":[],"082875":23,"082877":11,"082896":[],"082900":[],"082921":[],"082939":[],"082990":[],"08299273e":6,"083000":[],"083015":[],"083021":[],"083026":[],"083051":11,"083053":[],"083087":[],"083102":[],"083111":11,"083151":[],"083152":[],"083159":11,"08318298e":1,"083217":[],"083220":[],"08322642264994606":[],"083227":[],"083242":[],"083251":[],"083272":[],"083276":[],"08328216846752691":[],"083300":[],"083320":[],"083321":11,"08333333333333333":[1,9],"083348":11,"083361":[],"08336233266":4,"083380":[],"083399":[],"083404":[],"083417":[],"08343519179767796":[],"083441":[],"083446":11,"083485":11,"083495":[],"083506":[],"083527":[23,24],"08352721390288316":23,"083555":11,"08356774001062162":[],"083573":[],"083579":[],"083600":[],"083627":11,"083629":[],"08363087":[],"083648":[],"083681":[],"083685":11,"083691":11,"083692":[],"083694":[],"08370888":[],"08373167e":24,"08374032367704139":11,"08376632":[6,24],"083766322923899":[6,24],"0837663229239016":[],"0837663229239025":[],"0837663229239043":[6,24],"083772":5,"083779":[],"083799":[],"083829":[],"083832":11,"083849":[],"083859":11,"083899":[],"083913":[],"083935":[],"083977":[],"084000":[],"084006":[],"084008":[],"084017":[],"084018":[],"084019":[],"084024":[],"084032":[],"084076":[11,24],"084086":[],"084092":[],"084096":[],"084101":[],"084107":[],"084124":11,"084147":[],"084151":[],"084157":5,"084184":[],"084187":11,"084223":[],"084224":[],"084226":[],"084230":11,"08426840630693411":[],"08426840630693412":6,"08426840630693413":6,"084269":[],"084277":[],"084278":[],"08428156":[],"084282":[],"084286":[],"084364":[],"084391":[],"084400":[],"084408":[],"084414":[],"084422":11,"084426":[],"084434":[],"084438":11,"084444":[],"084476":[],"084477":[],"084484":[],"084523":[],"084536":[],"084541":5,"084549":[],"08455":9,"084570":[],"084604":[],"084624":11,"084629":[],"084645":[],"08464758160254343":[],"084657":[],"084663":11,"084670":[],"084682":[],"084683":[],"084685":5,"084702":[],"084728":[],"08474":9,"084777":[],"084809":24,"084846":11,"084862":[],"084904":[],"084906":5,"084909":[],"084912":[],"084920":[],"084927":[],"084936":[],"084965":[],"084979":[],"085010":[],"085018":[],"085027":[],"085044":[],"085105":[],"085108":11,"085113":[],"085163":[],"085165":[],"085167":[],"085184":[],"085185":[],"085210":5,"085224":[],"085249":[],"085252":11,"085264":[],"085272":11,"085345":[],"085361":[],"085368":[],"085384":11,"085405":[],"085410":[],"085416":[],"085484":11,"08551306":6,"085571":[],"085603":11,"085655":[],"085716":5,"085764":[],"08576932":6,"085776":[],"085876":5,"085879":[],"08593216":6,"085936":[],"086021":11,"086074":[],"086076":[],"086109":[],"08611111111111111":1,"086112":[],"08612280083325631":[],"086154":[],"086174":[],"086178":[],"086203":[],"086249":[],"086250":[],"086257":[],"086262":[],"086303":[],"08630331":[],"086322":[],"086409":[],"086420":[],"086440":11,"086460":11,"086518":[],"086524":5,"086567":[],"08657894597048958":5,"086608":[],"086610":[],"086624":11,"086665":[],"086679":[],"086705":[],"08673755293381497":[],"086802":[],"086807":[],"086809":[],"086841":[],"08684675":[],"086872":[],"086877":[],"086888":[],"086890":[],"08690":9,"086925":5,"086951":[],"086956":[],"086994":[],"086997":[],"087081":[],"087208":[],"087224":[],"087235":[],"087315":5,"08732305":23,"08734015":[],"087372":[],"087377":5,"087386":11,"087387":[],"087419":11,"08743287e":24,"087470":[],"087501":[],"087520":5,"087573":[],"08758":9,"08759":[],"087615":[],"087689":[],"087746":11,"087833":[],"087834":[],"087860":11,"087878":5,"087887":23,"087891":[],"087894":[],"087910":[],"088029":[],"088037":5,"088074":5,"088104":[],"088119":[],"088164":5,"08816688":[],"088176":[],"0881981":5,"088201":11,"088212":[],"088238":5,"088261":[],"088271":[],"088275":5,"088317":11,"088348":5,"088425":5,"088460":[],"088476":[],"088488":5,"088502":5,"088506":5,"088519":[],"088526":[],"088560":[],"088606":[],"088611":[],"088631":[],"08871404":5,"08873443359350565":[],"088754":11,"088758":[],"088760":[],"088765":[],"088778":5,"088809":[],"08881497884574564":24,"088816":[],"088825":[],"088853":[],"08887708":[],"08888888888888889":1,"088926":[],"088946":[],"088974":5,"088982":11,"08902":9,"089040":5,"089041":[],"089059":[],"089063":5,"089082":[],"08917679":[],"089177":[],"08918584":[],"089206":[],"089212":[],"08923158":[],"089233":[],"089240":5,"08924325e":24,"089246":[],"089306":[],"089310":[],"089329":[],"089355":[],"0893679":[],"089369":[],"089374":[],"089425":[],"089441":5,"08945041":24,"089501":[],"089505":[],"089524":[],"0895387":24,"089539":24,"089551":[],"089614":[],"089683":[],"0896981":[],"089744":11,"089758":[],"089775":[],"089857":11,"089924":5,"08996":9,"089982":[],"09":[1,24],"090014704675496":[],"090028":[],"090039":[],"090128":[],"090174":[],"090229":[],"09023660662586945":[],"090241":[],"090268":[],"090270":[],"09030825":18,"090337":[],"090349":[],"09034902":[],"0903549":[],"090356":[],"090358":[],"090451":[],"090503":[],"090564":[],"090620":11,"090630":[],"090649":[],"090694":[],"090730":[],"090755":[],"090768":11,"0907831":6,"090828":11,"090830":[],"09083636328656121":[],"090849":[],"09085624":[],"090888":11,"090923":11,"090929":[],"091031":[],"091044":11,"091051":[],"091060":[],"091113":11,"09117221":[],"091209":11,"091224":[],"091236":[],"091266":11,"091311":[],"091315":[],"091340":[],"091349":[],"091363":[],"091369":11,"091376":11,"091414":[],"091416":[],"091418":11,"091426":[],"091440":[],"091445":11,"091477":[],"09149881":[],"091579":11,"091620":[],"091630":[],"091647":[],"091659":11,"09166666666666666":1,"091696":[],"0917":9,"09170751":[],"09172408":[],"09172409":6,"091772":11,"091891":[],"091896":11,"091996":11,"092007":11,"092066":[],"092126":[],"09216046":[],"092249":[],"092290":11,"0923":[],"092409":[],"092478":11,"09251":9,"09252364":[],"092524":[],"092621":[],"092724":11,"092769":[],"092879":[],"09289204":23,"09297039":[],"092998":[],"093078":[],"093247":[],"0934597075922044":[],"093497":[],"093556":11,"093593":[],"093624":[],"0938":[],"093844":[],"093930":[],"093979":[],"09404851e":24,"094082198961999e":6,"0940821989624095e":[],"0940821989643363e":6,"094082198966615e":[],"0940821989673748e":[],"094139":5,"094227":5,"094252":5,"094362":[],"09440475":[],"094404754965417":[],"09444444444444444":1,"094472507965532":[],"094477":[],"094610":5,"094619":[],"094657":[],"094722":[],"094812":5,"094848":[],"094867":[],"094925":[],"095171":[],"095184":[],"095313":[],"095315":5,"09533574":18,"095510":[],"095522":[],"095617":[],"095702":[],"0957156":[],"095871":[],"095902":[],"095935":[],"09609807":5,"096173":[],"09631112":[],"09634375e":20,"096472":[],"096516":[],"09652672":[],"096623":[],"09672929714683368":[],"09677394":[],"096833":11,"096845":11,"096872":11,"096893":[],"096894":[],"097":[],"097111":11,"097360":[],"09739330e":24,"097396":[],"097435":11,"09744":9,"09744272":[],"09759873":24,"097602":[],"097634":[],"097710":[],"09772449":23,"09780":9,"09781386":13,"09791":9,"098069":11,"098135":[],"09846636e":24,"09849763":[],"098498":[],"09856879":[],"09861229":[18,23],"098802859381565":[],"099":[],"09903804":8,"0991919894927399":[],"09919198949274803":6,"099191989493334":[],"09951287404314545":1,"099648":[],"09964817":[],"099777":[],"0n":[0,23],"0s":[],"0x11da42d90":[],"0x11db14850":[],"0x11e031e50":[],"0x11e09b370":[],"0x128ee8850":[],"0x12946f2e0":[],"0x1336a6040":13,"0x133c2e1c0":13,"0x13b240850":[],"0x13b8c72e0":[],"0x7fad10f9a280":[],"0x7fad20f69be0":[],"0x7fd098df3280":[],"0x7fd0a9063be0":[],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,22],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,24],"100":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],"1000":[0,1,2,4,5,8,11,13,14,17,20,23,24],"10000":[2,5,6,10,11,13,20],"100000":8,"10001":10,"1001":[9,20],"1002":20,"1003":20,"10030":9,"100303":[],"100358":[],"10044225464078282":[],"1005":20,"100670":[],"10077114273548984":6,"1009":20,"10097956":18,"1011":20,"1013":20,"1013904243":20,"10141413e":6,"1015":20,"102":24,"1022233262115424":[],"10222333":[],"1023":20,"10230":9,"1023111":[],"10235180e":24,"1023858":[],"1024":3,"102401":[],"102449":[],"1026":20,"1027":20,"1028":[],"103":1,"1030":20,"10302062":[],"103257":[],"10340":9,"1037":20,"10378326e":1,"1038":20,"103822":[],"10391807":6,"10398646080125035":[],"10398646080125036":6,"10398646080125037":6,"1040":20,"10405456":11,"10427270e":24,"10430":9,"104411":[23,24],"10455924":[],"1047":20,"10486183":5,"104862":5,"10505137":[],"105161":[],"105169":[],"10516924":[],"10520":9,"10555555555555556":1,"1056":[],"10589577":5,"106":[],"106095":[11,24],"10620135":[],"106431":23,"10686259":23,"107":[],"10790125813226321":24,"108":[6,9],"108359":[],"10835935":[],"10880921":[],"109":[],"10913":6,"10931453":6,"10950766":[],"10960":9,"1096767776832326":[],"10967678":[],"10th":9,"10x":[0,23],"11":[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24],"110":[],"1100":20,"1101":20,"11022302e":[],"11029323":23,"11046771":[],"111":[1,7,12],"11100":9,"1122558214":[],"112319":[],"11231934":[],"112383":[11,24],"1124":9,"1125":[],"11283168":[],"11297834":[],"1133":[],"11352543":[],"1136":[],"11362930e":[],"11366595":0,"11388888888888889":1,"1139":[],"11390":9,"114":[3,4,14],"11402309":[],"114437":[],"11462415":5,"11481199":[],"11482289e":6,"11499517":[],"115":[3,4,14],"11507992e":1,"11547777218875695":[],"11547777218875696":[],"11547777218876518":6,"11547777218940905":[],"11547777218940906":[],"115822":6,"11590":9,"11598862":[],"11598862273198":[],"116":[3,4,14],"11604844":[],"116048442683864":[],"11660":9,"11666666666666667":1,"11674401539815678":[],"117":[3,4,8,14],"117430":23,"11744554e":6,"11780":9,"11790868":[],"11793498e":20,"117986":[],"118":2,"1182":[],"1183":[],"118318":[23,24],"1184":[],"11840":9,"1185":[],"11850274":[],"1186":[],"11890":9,"119":[2,3,4,14],"11909685e":24,"119625":[],"11962537":[],"1199":[],"119936":2,"119999999999976":[],"11it":[],"12":[0,1,2,3,4,5,6,8,9,11,12,13,18,20,22,23,24],"120":[2,3,4,14],"1203":9,"1203284":8,"12044974":24,"120450":24,"1206":8,"12069773":[],"121":[8,9,10],"12107137e":20,"12152272":[],"1215pm":[21,23],"12160173":18,"12167821":[],"12182967":6,"12196674":[],"122":[2,8,9,10],"12222222222222222":1,"122282":23,"122439":[],"1224392":[],"12288563":[],"122886":[],"12289498e":24,"123":2,"12302855":[],"12318726e":6,"12330033":24,"12330280229368":[],"12333649":6,"12345260617257443":[],"123459876":[],"123711":6,"12380":9,"12387751":[],"12394241e":24,"124":[0,23],"12400":9,"12427889":18,"12434807":[],"1245596497124075":20,"12455965":20,"125":[],"1250":[],"125000":[],"12539459":[],"12552073e":6,"12591227":24,"126":9,"1261":9,"12618549":5,"12630042":[],"1265":9,"127":4,"1270":[],"127043":[],"1271":6,"1277":6,"127773":[],"12777777777777777":1,"127812":23,"12788968":[],"12790":9,"128":[3,4,13],"12803365e":24,"128664":6,"12871842":24,"12885048":[],"12898627064868978":[],"129":2,"12933164":5,"129332":5,"12934015":[],"12937662":[],"12945452":[],"1297":9,"1297300314822336":[],"1298":9,"12adb44b1c20":[],"12m":[],"12pm":[21,23],"13":[0,2,5,6,9,11,12,13,18,20,23,24],"130":9,"13003291":6,"13019959":11,"130200":11,"13030182":[],"13055555555555556":1,"130694":24,"13069442":24,"13083543199018746":20,"131":9,"13117061":[],"13131825":[],"1314":[],"132":[6,9],"13220608e":6,"13228567":18,"13229545716505003":[],"132360":[],"1323603":[],"1326":9,"13261136":[],"1326197715":23,"13280":9,"13288373":[],"133":7,"13320535":[],"13333333333333333":[],"13392097":18,"13393141":18,"135":9,"13519106":[],"13535942":6,"135365":5,"13536532":5,"136":[],"1360":[],"13609760e":[],"1361":[],"1362":[],"1363":[],"1364":[],"13646574":5,"13655438":[],"13661243e":6,"13679863":6,"1371":6,"13734823":[],"13740":9,"137400784702911":24,"137652":[11,24],"1378":[],"1382":[],"1383":[],"1384":[],"13847924":13,"1385":[],"1386":[],"13865173":5,"13876586436927824":[],"138775":[11,24],"1388888888888889":1,"13890":9,"1392559581788775e":[],"1392559584983597e":[],"1392559585048734e":6,"1392559591206444e":6,"13925595925919e":[],"13it":[],"14":[0,2,3,4,5,6,8,9,10,11,12,13,14,18,20,22,23,24],"140":[2,9],"14021063":6,"1404":[],"14042769":[],"140428":[],"14061742":23,"141":2,"14100":9,"1416398":6,"14174062":[],"14174745":6,"1418":9,"142":[6,9],"14231548":[],"14250":9,"14252712":[],"14277718e":24,"142857":[],"14298603":[],"143":[2,3,4,7,14],"1435666":[],"14360598":[],"1437":1,"144":[3,4,14],"14400":9,"1440501043841336":1,"14432948":18,"14440":9,"14451625":[],"1446729567":4,"14484695":[],"144993":23,"145":[2,3,4,14],"14561980e":20,"1457774":[],"146":2,"14617985":[],"147":[],"14710":9,"1472032":[],"14722222222222223":1,"14724135e":24,"147400":[11,24],"14741468":[],"147420":[11,24],"14783702":[],"1479":9,"148":[],"14812206":6,"14818":[],"14822021080294":5,"1484256":[],"148564":[],"14859":6,"148768":[],"148854":[],"149":[],"14900336":23,"149213":[],"14932651":[],"149452":6,"149655":[],"149864":6,"14988578":[],"149886":[],"14995486":[],"149955":[],"14g":6,"14it":[],"15":[0,2,3,4,6,7,8,9,12,13,14,15,16,20,23],"150":[4,8,9],"15005476":5,"150184":[],"15089627":[],"150920":[],"15092012":[],"1509778":[],"15098090e":6,"151":[],"15130074e":6,"151348":[],"151986":[],"152":9,"15200":9,"15258907":[],"152696":[],"15269628":[],"1527777777777778":1,"153036":[23,24],"153106":[],"15320771e":24,"15321987":18,"1533795":[],"153760":[],"15384615384615385":9,"15384615384616":[],"154":[],"15410688":[],"154107":[],"15442554":[],"15454301":[],"15456415e":24,"154720":[],"15483121":[],"154911":[],"155":9,"15503141":18,"15508406":13,"155491":[],"15550086":[],"155687":[],"155883":[],"156":[],"1562":[],"15626984":5,"156270":5,"15629539":[],"15680777":[],"156956":5,"157":[],"15717291":[],"1575":9,"158":9,"1582408":5,"158241":5,"1583767":[],"15843769515580663":[],"1586300629904382":[],"1587":9,"15891336":[],"15899253":[],"159":[],"1590":9,"15990":9,"15g":6,"15it":6,"15pm":23,"16":[1,2,3,4,5,6,8,9,10,14,20,23,24],"160":[],"16006961":5,"1603":3,"1604":[],"1605":[],"160539":[],"16054190e":24,"1606":[],"1607":[],"16111111111111112":1,"1612":[],"1614891":[],"16167387":[],"16211139":5,"16220":9,"162246":5,"16231451":4,"1625":9,"1628":9,"162999":23,"163":[],"16304863":24,"163049":24,"1630775253":1,"16342407":5,"16343471":6,"16384":3,"16397496":[],"16500":9,"1655226":23,"166":9,"16660817":[],"166667":[],"167":[],"16740002":[],"167787":5,"168":9,"168044":[],"16804444":[],"16805821e":6,"16807":[],"16827044":[],"16832385":[],"16840081":[],"16961682":[],"16b8e3cda33a":[],"17":[1,2,3,4,5,6,8,9,14,18,20,24],"17084902":[],"1709":9,"171525":24,"1715252":24,"17174962e":1,"17222222222222222":1,"172405":[],"17240522":[],"1726":9,"17297886491529482":9,"17300":9,"1731":9,"17339342":[],"173439546289586":11,"17428293":23,"17446471":6,"1752":9,"175300":[23,24],"17641709":6,"17647619":6,"17676228":23,"176880142835407":[],"17709473":[],"17774184e":20,"17777777777777778":1,"17796101e":24,"17801022":5,"17826349":[],"17861098":6,"17897671":[],"17917768":5,"17930649":[],"17938393":[],"17942122":[],"17949575":5,"17953942":11,"1797":[1,3],"18":[2,3,4,6,7,8,9,10,13,14,20,23],"180":[],"18029127":5,"18036103":18,"1807":4,"1809":9,"181":9,"1810":[],"1812":9,"18156717":[],"18166474":[],"1821":9,"18217743e":24,"18264218":23,"18266178":[],"182662":[],"18276924":[],"18306165":11,"183062":11,"18327677":[],"18333333333333332":1,"18383522":24,"18393678":[],"184":9,"184519":[23,24],"184895":[],"185":[],"1851":[],"1852":[],"18526":[],"185278747229417":[],"1853":[],"1854":[],"1855":[],"186":[],"1860":9,"1861":[],"18611111111111112":1,"18613217e":6,"18657863":18,"18660":9,"18670072e":24,"18673098":11,"18682538":[],"18695705":[],"18780801":23,"18790439176058887":[],"188":[],"18826299":[],"188263":[],"1887":6,"18912963":[],"18931988":18,"189367":23,"189496":[23,24],"189622":[23,24],"18998208":[],"18it":[],"19":[2,3,4,6,9,13,14,20],"19003":6,"19032152e":20,"19096968":[],"190970":[],"191262820314401":[],"19144544":[],"19158446":[],"19166666666666668":1,"191963":23,"19207979":5,"19213479":[],"19220":9,"19264104e":24,"193":[],"19354258":[],"19379506":[],"19394283":[],"194":[],"1940":[0,24],"19404282648955e":[],"194042826653172e":[],"194042826815498e":[],"1940428268204826e":6,"194042827197027e":6,"19425617":23,"1943":12,"194325":[],"19432526":[],"1944":[],"19444444444444445":[],"19466812":[],"1950915150":[],"1954":[],"19542686939553625":23,"1956":9,"19569961":[6,24],"1961":[],"1962":[],"1963":[],"1964":[],"1965":[],"19677483e":24,"1970":[18,23],"197104":[],"19710439":[],"1973":9,"197370":[11,24],"19740":9,"197738983259782":[],"1979":6,"19800":9,"19853775e":[],"1989":[],"19890453":23,"199":[],"19937":[],"19983530":6,"19994371":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,20,23],"1d":[1,2,3],"1e":[1,2,4,13,14],"1e10":14,"1e4":6,"1f":1,"1k":18,"1n":[0,23],"1s":[],"1x":[0,23],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,22],"20":[0,1,2,3,4,6,7,8,9,13,14,20,21,23,24],"200":[0,2,3,4,8,9,10],"2000":[0,24],"200000":[],"20015436":6,"20038136":[],"2004":13,"2006":22,"2008":23,"2010":1,"2011":1,"2014":4,"2015":1,"2016":[0,23],"20174121":[],"2018":[0,3,4,6,14,24],"2018906331":[],"2019":[8,9],"2020":[3,4,14],"2021":[6,14,24],"2022":23,"2023":[15,16,23],"20255857":[],"2027":9,"20277777777777778":1,"20299677":[],"203":[],"20316225":[],"20320502":[],"20375361":[],"203753611274545":[],"20436207e":20,"20461136":18,"20500":9,"20509391":[],"205231":23,"206":[],"2060":9,"20609082":[],"206091":[],"20661216":[],"206640":[],"20664007":[],"2069":9,"20708879":11,"207089":11,"207545":[11,24],"20756638":[],"207888":23,"20833333333333334":1,"2086376":18,"20867052175003364":6,"20867052175006306":[],"20867052175109335":[],"20893188":18,"20893514":23,"20916295":24,"209789":23,"20980":9,"20999563":[],"21":[0,1,2,3,4,5,6,7,9,12,13,14,15,18,23,24],"210151":[],"2101511":[],"210340":[11,24],"21058097":5,"21130":9,"2116753732":4,"21169159e":6,"21265216":[],"21296315":23,"213":[],"213103":[11,24],"21328866":23,"21369083e":20,"213743":[11,24],"21435514e":20,"21472683":[],"2147483647":[],"21493572":[],"21519063":[],"21576737e":24,"21582995e":24,"21596432":6,"216290":[11,24],"21654926":[],"216683":[11,24],"21786964":[],"2188":[],"21909039":18,"21919813":[],"21922061":23,"219222942590059":5,"219249":[],"21924917":[],"21927988":[],"21944444444444444":[],"2195":[],"21985165":[],"21997099":[],"22":[0,1,2,3,4,5,6,9,12,13,14,18,23,24],"22014758":[],"220148":[],"22044605e":[5,24],"220506557673408":[],"22090974":23,"22094791":[],"220968":[],"221":8,"221180":[23,24],"22134069":[],"2216":9,"2218":9,"221805":2,"221921":5,"222400":[23,24],"2225":[],"22442417":18,"2246674023625205":[],"225":4,"22566121":18,"22567203":[],"2259440937":[],"226124657522696":[],"22612466":[],"226856":[],"22685646":[],"22690428":5,"22821344":[],"2284246870217162":6,"2284246870217459":[],"22842468702288576":[],"22842468702288582":[],"22847924":5,"22887861":18,"22893751":23,"22929905e":[],"2299":[],"22it":[],"23":[1,2,3,4,6,7,9,12,13,14,18,23],"23002365e":6,"23014274e":[],"23056012":[],"23076923076923078":9,"23095558e":20,"231":[],"23103285":[],"231224729143838":[],"2315033":[],"23167717":5,"23168292":[],"231683":[],"2321528":[],"232153":[],"232435":[23,24],"23297056":[],"23333333333333334":1,"233528":[],"2338675":24,"233868":24,"234":6,"23408962e":5,"23470374":20,"23477043":23,"23483916":[],"23522201":[],"2357089093":[],"2360682191515046":[],"2361111111111111":[],"2364":9,"23659936":[],"237038":[],"23703839":[],"23732849":[],"2379":6,"23792491":[],"237925":[],"23816792":[],"238168":[],"238574":[],"23857423":[],"23875722":18,"23962594":[],"2397":9,"23971032":24,"24":[0,1,2,3,4,6,9,13,14,18,23],"240670854503034":[],"241252":11,"24125217":11,"24140":9,"24159785":24,"2416":9,"24175744e":6,"24181044e":20,"2419":9,"24276315":[],"24279008":23,"2430":9,"24390":9,"24444444444444444":1,"244858":[],"24485843":[],"24501973e":24,"24512498":[],"24533566":[],"246":2,"2460037":23,"24611674":[],"24629107e":20,"24688732":23,"2470":[],"2476536":[],"247654":[],"24770094":[],"24782786":5,"24784064":[],"24801014":18,"24829908":5,"24844778e":24,"24848907":23,"24906604e":6,"24924624":[],"24929083":23,"249302":[],"2493023":[],"2495":[],"25":[2,3,4,5,6,7,8,9,11,13,14,15,23,24],"250":[2,4,7,9],"2500":[],"25000":[0,24],"250000":[],"250154":[],"25028968":18,"250636":23,"25115233":[],"25116851":[],"2517560119":[],"251879":[23,24],"25201286e":24,"252436":[23,24],"25253892":23,"25259666":[],"2526":[],"252866":[],"25286618":[],"25366775":[],"253668":[],"253775":[],"25385387":[],"253854":[],"255":3,"255001":[23,24],"25522012":[],"256":[2,4],"25617654e":6,"25617657e":[],"25617658e":6,"256962":[],"257":[],"2572":9,"2572495066":[],"2572e3a4b38d":[],"2575":9,"25789255":18,"25792767":[],"25845e8df859":[],"25881631":[],"25902112":[],"259153":[11,24],"2597":9,"25976336":[],"26":[2,3,4,6,9,13,14],"26015755":18,"26079358":[],"26115367":[],"261154":[],"26153846153846":[],"26181254":11,"261813":11,"26185107":[],"26186844":[],"2619":24,"26223899":18,"26290036":[],"26291585":[],"262916":[],"26294938":[],"2629493813057833":[],"26297455":24,"26301436":5,"26306244":[],"264":[],"26409315307910025":6,"2640931530791003":[],"26409315307910036":6,"2640931530791005":[],"26409315307910053":[],"264421":23,"264540221699101":11,"264666":[],"26466619":[],"265":[],"2650":9,"26506981e":24,"265109911":4,"26531223e":[],"2654":9,"26549135":[],"266":[],"26610075":[],"26666667":13,"26678445":23,"26710969":5,"26780278":5,"268":9,"26804287":5,"268043":5,"268227":[],"26822717":[],"268484":[],"26848435":[],"269":[],"26995402":24,"27":[0,1,2,3,4,6,13,14,24],"270":[],"2703":[],"27050214":[],"27090196":23,"27091656":[],"270917":[],"27092897":[],"27092910":6,"273817":5,"27381733":5,"2750":9,"27525917":[],"275341":[],"27547877":18,"27562809e":[],"27580794":[],"27621662e":[],"276263":[11,24],"27660123":[],"27692307692308":[],"27700":9,"2772":[],"2775623201":[],"27760":9,"27801122":18,"278036":[],"27803645":[],"27809912":23,"27924636":5,"27932015e":24,"27n_":20,"28":[0,1,2,3,4,6,9,13,14,16,24],"28001319":[],"280179":23,"28047021":[],"280573":5,"280647":[11,24],"28065343":[],"28067036":[],"28097861":[],"280979":[],"28102554":[],"2812":[],"28186376":18,"281930":23,"28205578e":24,"28219089":11,"282191":11,"282259":23,"282727":[11,24],"283":[],"2830637392":4,"2831603":[],"28336218e":6,"2836":[],"28390":9,"28391978":24,"28475098":8,"28590743":[],"2861":20,"28634473":[],"286345":[],"2871":9,"2873":9,"28744729":23,"2882":20,"2886":20,"2886847885377843":[],"28868479":[],"28875373":[],"2890":[0,23],"2892":20,"2895238":18,"28967287":[],"28it":6,"29":[3,4,6,7,9,14],"29082851":[],"290829":[],"29083183":[],"290832":[],"29115152e":24,"29148545e":24,"29149329":[],"2915":20,"29167186":5,"29229741":[],"2923076923077":[],"29276615":[],"29294618e":20,"2931":23,"294277":[],"2942772":[],"29512284":[],"295123":[],"2954":[],"29546690e":20,"2955":[],"2956":[],"2957":[],"2958":[],"29588901":[],"29592539":[],"296247":[],"296414":23,"29650918":23,"29661191":[],"29672381":[],"2968":23,"297":[],"2971492148":[],"2972":[],"297248":5,"29724806":5,"2980":23,"29822833":6,"298273":[],"298375":[],"298836":[],"29883607":[],"299":[3,4,14],"2990":23,"299267190588216":[],"29938171e":20,"29972182":13,"299748":[23,24],"29it":6,"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,20],"2_t":13,"2_x":20,"2b":20,"2cm":8,"2d":[1,3,11,12,17,23],"2e":6,"2f":[0,7,9,10,11,12,23,24],"2ff97f4bf03b":[],"2g":2,"2g_i":2,"2k":3,"2m":6,"2n":[0,2,3,23,24],"2nd":9,"2p":20,"2pm":[21,23],"2pt":4,"2s":[],"2x":[0,3,8,13,23],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21],"30":[0,1,2,3,4,6,7,9,10,13,14,21,23,24],"300":[3,4,14],"30000":[0,23],"30010":9,"30035718":23,"3005849":23,"301":[3,4,14],"30119421":8,"301475":[],"3014751":[],"3017":[],"3018":[],"3019":[],"301927":[],"3020":[],"3021":[],"30232456e":24,"30258509":[18,23],"302m":[],"303":6,"30313128":18,"30337713":18,"3037":[],"3038":[],"30384239":[],"3039":[],"303m":[],"3040":[],"3041":[],"30442964":24,"30466214e":6,"304m":[],"305":[0,23],"30535506":[],"30552077":[],"30559547":[],"305m":[],"306":[0,3,4,14,23],"3063":[],"306m":[],"307":[0,3,4,14,23],"30700873e":20,"30702075":[],"3072":3,"30761405e":[],"3076923076923077":9,"30787294":6,"3079975":[],"307m":[],"308":[0,3,4,14,23],"30813073":[],"30839676":[],"30891693":[],"308917":[],"308m":[],"309":[0,3,4,14,23],"30936179":[],"309362":[],"30940":9,"30993886e":20,"30b53504a633":[],"30it":6,"31":[3,4,6,12,14,18,20],"310":[0,3,4,14,23],"310579":24,"3105791":24,"311":[0,23],"31120247":[],"31193395e":24,"311m":[],"312":[],"3120271598582915":[],"31211671":[],"31228042":[],"31229747":[],"3123314713548606":6,"31276579e":6,"312m":[],"313":[],"31311243":[],"31318084":5,"31377492":[],"314":[],"31424359":[],"314244":[],"31447174":[],"31457796":5,"315":6,"31507591":23,"31519573":18,"31531613":23,"3155":[0,5,6],"315746":[],"31574634":[],"315977":[],"31597731":[],"316":[],"31605061":[],"31614188e":[],"31644071":[],"31650694":6,"31658671e":20,"31681097":[],"316811":[],"317":[],"31718909":11,"31719317":23,"317367":11,"31768693":[],"31782593":20,"317825933186352":20,"3178411477108273":18,"317m":[],"31835835":[],"31866499":[],"31896852":8,"319803":[],"31980301":[],"31988705":18,"319m":[],"31it":[],"32":[2,3,4,6,12,13,14,18,20],"3200":1,"32039227e":[],"32047562":[],"32066545e":5,"32068012":[],"3208":2,"320m":[],"32149601703519115":6,"3214960170351912":6,"3215":9,"32179365":[],"32183101":[],"32190363":[],"32309075":[],"32320052":[],"324":2,"32450054":24,"32458459":[],"32459186":[],"324m":[],"3250":[1,6],"32512":[],"326238":[23,24],"3263505":[],"326m":[],"32714903e":5,"32721178":[],"327212":[],"32750531e":[],"32766274":[],"327883798133277":18,"32816737":[],"32903042":[],"329492":23,"3297":[],"32992274":[],"329923":[],"32it":[],"33":[2,3,4,9,12,14,18,21],"330":[3,4,14],"3303":[],"33066907e":[5,24],"33078983":[],"33079801":23,"331":[3,4,14],"3310":[],"3313155":13,"33135331":23,"33166055e":[],"3318361":23,"331939":[23,24],"331m":[],"332":[3,4,14],"332018":11,"33201844":11,"332331":[],"333":[3,4,7,14],"3331":[],"33327369":[],"333274":[],"33333333":13,"3337":[],"334":[3,4,14],"335":[3,4,14],"336":[3,4,14],"33611111111111114":[],"33645986e":24,"33646268e":24,"336801":[],"33680101":[],"337":[3,4,14],"33711888":[],"33736485":18,"338":[3,4,14],"33823452e":20,"3384":[],"33900713":[],"33956555":[],"33m":[],"34":[2,3,4,9,14,18],"340071371496255":24,"3403":9,"34040204e":[],"340583":23,"340782":[11,24],"34114547":5,"34158665":[],"341m":[],"342680":[23,24],"34305928":[],"3436":[0,23],"3437":[0,23],"34378387e":24,"34412923":24,"34498451":[],"3456":[],"345687771875474":[],"34568872":[],"34569596":5,"3457":[],"34578026":23,"3458":[],"34585355":[],"3459":[],"3460":[],"34678929":[],"346810":[],"3469819128513336":[],"34740615":[],"3498":[],"34989509":18,"34it":[],"35":[0,2,3,4,6,9,14,21,23],"35030572":[],"35074881":[],"350749":[],"35123041":[],"3514":[],"35140":9,"35147135":[],"35147532":[],"351636":[11,24],"35182854":5,"35203688":[],"35207264":[],"352073":[],"3522":[],"3525":[],"3528556":[],"352856":[],"3529":[],"3530606977":[],"35309734":18,"35319678":[],"35346808":[],"3538":[],"35396404e":[],"35401056e":[],"3543":[],"35438626":23,"3544313922":6,"3546":[],"35470445e":[5,24],"3548":[],"355":[3,4,14],"3551":[],"35533773":6,"35533774":[],"3556":[],"35562617e":[],"35568525":23,"3558":[],"355906":[],"35590603":[],"356":[3,4,14],"3560":[],"356399":[23,24],"3567":[],"357":[3,4,14],"35704388":5,"357044":5,"3572":[],"35724288e":[],"3575":[],"357508":[23,24],"3576":[],"3577":[],"35771826":6,"35771842":[],"35776087e":20,"35793003441520066":[],"358":[3,4,14],"3581341341":4,"3581571":18,"35821426":[],"3585":[],"3587":[],"35892474":[],"35894575":[],"359":[3,4,5,14],"3593":[],"35947075":23,"3594821":[],"3595":[],"3598":[],"359999999999985":[],"36":[0,2,3,4,5,6,14,20],"360":1,"3604":[],"3605":[],"3606":[],"360688":[],"3609":[],"36102113":[],"36117602":[],"3613":9,"3615":[],"361556":[23,24],"3617":[],"3621311":5,"3624":[],"3627":[],"3628":[],"363295916323784e":6,"363295916414895e":[],"3632959170548605e":[],"3632959215700067e":6,"363295924430451e":[],"363834":[],"36383443":[],"363936":[],"36393643":[],"3643":[],"3644017":[],"364402":[],"364418e97433":[],"3645":[],"3646":[],"3647":[],"365350":[],"36535019":[],"3655":[],"3655222":5,"3659":[],"3665263":[],"3668":[],"36689784":[],"366898":[],"3669":[],"36692356":23,"367":2,"3672":[],"3673":[],"3674":[],"3679":[],"36809474":23,"3684":[],"368537":5,"36853738":5,"3687":[],"3688":[],"368m":[],"369139":[11,24],"36it":[],"37":[2,3,4,6,9,14,23],"3704":[],"370782966":4,"3711":[],"37114298":18,"3713":[],"37157712":[],"3718":[],"3721":[],"3722":[],"37239927e":24,"3725":[],"3729":[],"37307168":[],"3739":[],"37396662":6,"37415316":[],"37419664":11,"374197":11,"374291":[],"37429133":[],"3748":[],"3749":[],"3753":[],"375694":23,"3759":[],"3760":[],"3765":[],"376547":23,"376559":[],"37655936":[],"376834":[],"37683438":[],"37692363":[],"37703055":[],"37713991":[],"3772":[],"3773":[],"37732":[],"377372":24,"37737221":24,"3776":[],"3777801602":6,"3779":[],"37835429e":[],"3784":[],"378664":[],"37866422":[],"37885034":23,"37900111":6,"3791":[],"379203":[],"3794":[],"379647":[],"37964744":[],"37992857":[],"37it":[],"38":[2,3,4,9,14,20],"380":9,"38019139":[],"3802":[],"3803":[],"3804":[],"3805":[],"380739":[],"38073947":[],"3811":[],"38135733e":6,"3815":[],"381627865854956":[],"38162787":[],"38168549":[],"3817475779":6,"3818":[],"3819":[],"3820":[],"382187":23,"38222896":[],"3823886":[],"382389":[],"38246359":[],"382672":[],"38267217":[],"3827":[],"382951":[],"38295101":[],"38299798":[],"3830":[],"38302314":[],"3833":[],"38336316":[],"3834":[],"3837":[],"3838":[],"383878":11,"3838783":11,"3839":[],"3842":[],"38461538461538464":9,"3850":[],"3851":[],"38533184":[],"38533185":6,"3854":[],"3858":[],"386":9,"38605872":[],"386059":[],"3861":[],"3862":[],"386294":[],"38629412":[],"38629436":[18,23],"38629844":[],"38637915":[],"3864":[],"3867":[],"3869":[],"387":[],"3871":[],"3872":[],"38730917e":24,"387482":[],"38748219":[],"3876":[],"38763091":18,"38788697":18,"388":[],"3881":[],"3882":[],"3885":[],"3886211842840971":23,"38868469":[],"3888":[],"3889":[],"389":[],"38901478":[],"38906684":[],"389067":[],"3891":[],"38916861e":6,"38962192e":6,"3898":[],"39":[0,2,3,4,9,14,21,23],"390":[],"3906":[],"39074222e":24,"39095416":[],"3914":[],"3915":[],"3916":[],"391602":[],"3917":[],"39197698":24,"391977":24,"39214397":24,"392144":24,"3922":[],"3925515884752442":[],"39272691":[],"3928":[],"3929303193461995":23,"3931":[],"39311435":[],"39384255":[],"393843":[],"3943":[],"3944":[],"39456996":[],"39493843":[],"3950":[],"3955":[],"39560937":[],"3957482":23,"39579407":5,"3958":[],"39595799":[],"3960":[],"3962":[],"3970":[],"39706038":5,"39707147":23,"39724390e":[],"3975":[],"397700":[11,24],"39789527":[18,23],"3979":[],"39794864e":[],"3980313467":6,"3983":[],"39864527":[],"39924562":[],"399246":[],"39931051e":24,"3994":[],"39943328":18,"3996":[],"399836":[23,24],"39it":[],"3bdkrb":[],"3d":[2,3,4,6,13],"3f":[1,3,9],"3n":18,"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,13,23],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23],"40":[1,3,4,6,9,14,21,23],"400":4,"4000":[9,23],"4005":[],"4011":[],"40116777":[],"401168":[],"4012":[],"4017":[],"4017308":[],"40183706":[],"401842":[11,24],"40214433":[],"4022":[],"40236901e":[],"4027":[],"4030":[],"40340043":[],"4034668048":[],"4038":[],"40389922":[],"4039":[],"404":24,"4045":[],"4048":[],"4050":[22,23],"4055":[],"405890":[11,24],"4059":[],"40599799":[],"40620066":24,"406201":24,"40672425":23,"4068":[],"4069":[],"4075":[],"40754621":[],"4077":[],"408":[],"4082":6,"40829683":[],"408297":[],"4084":[],"4087":9,"4087793":5,"4088":[],"4089":[],"409":[],"40927184e":6,"40980089":[],"409801":[],"40a38ad763f1":[],"41":[0,2,3,4,9,14,18],"410":[],"4100":[],"4107":9,"410815":[],"41081513":[],"411":[],"4115":[],"4117":[],"41170104":[],"412":[],"41211579":[],"412116":[],"4128":[],"4131":[],"41340248":23,"41351287":[],"413513":[],"41357064":[],"41386599":18,"4143":[],"41433969":5,"4144":[],"41446721":[],"4146":[],"41511965e":1,"415201":23,"41542567":[],"4155":[2,15],"415534701258823":[],"41566661":[],"4162706317":6,"41646135":23,"4166666666666667":9,"4167":[],"4176":[],"4177":[],"418506":[11,24],"4186":[],"41876267":[],"418763":[],"41882036e":[],"41882037e":6,"41923956":18,"4192423635":[],"41958102e":[],"4198":[],"41990268":[],"41it":6,"42":[1,3,4,8,9,10,14,18],"420":[],"42028578":[],"42037468e":[],"420543":11,"42054337":11,"42078103":[],"421":[],"4212":[],"42130182":[],"422":[],"422275":[],"4224":[],"422480":[],"4224801":[],"423":[],"4230769230769231":9,"42340403e":[],"42352791":23,"42394972":[],"424":[],"42441033":5,"42449643":[],"42450":9,"42451192":18,"425":[],"4255":[],"4258989918":[],"426":[6,7],"42615374e":[],"42631342":[],"42694395":18,"427017":[],"42732954":[],"4275":[],"4284066":[],"42882114e":24,"42902155":18,"42915006":18,"43":[0,1,2,3,4,7,9,14,18],"43036842":18,"4304167":[],"43054282":5,"4310":23,"43135183":[],"43294696e":[],"43330971e":6,"43333886":[],"43482628":[],"434932":[],"43493232":[],"435163":[23,24],"43552433":[],"435567":[],"43556723":[],"43560678":[],"43579948e":6,"43639284e":24,"436462435":4,"43761347":[],"43766686":11,"4379":[],"43794243e":20,"438060758":6,"438136":[23,24],"43876695":[],"438767":[],"439230":6,"4399427":[],"439943":[],"44":[0,1,2,3,4,14,18],"44021223":11,"44065609":18,"44089210e":[5,24],"4410":[],"4411":[],"441264":23,"44152248":[],"44190304":18,"44198566":[],"442600":[11,24],"442701":[],"44270138":[],"443217":[23,24],"443538568902246":20,"44353857":20,"444":9,"44624525e":24,"446453":23,"44651551":[],"44688507e":[],"44830642":[],"44838453e":20,"44894073":[],"44906236e":24,"44970586e":1,"44997121":[],"44it":[],"45":[2,3,4,9,14,21,23],"450":9,"450257":[11,24],"4504":9,"45220770e":24,"452553":23,"45290829":[],"45372697":5,"453727":5,"45393214e":[],"454027":[],"45402701":[],"4543859":[],"4557763":11,"455947":[23,24],"456":9,"456418966187335":[],"457":2,"45720968e":24,"45741697":[],"457770268480242":[],"458027":[23,24],"458078":[11,24],"45915671e":24,"45951629e":20,"45960079":5,"45979894":18,"45985488":[],"459855":[],"46":[2,3,4,9,14,21,23],"4601":9,"46023985":24,"461":[],"461175":[],"46153846153846156":9,"462":7,"46284227":[],"46312791":23,"46369869":23,"46383925e":6,"463861":23,"46400080e":24,"464424":[],"4644244":[],"46508305":[],"46567887":[],"46575843e":24,"466":[],"46602982":[],"46650488":[],"466505":[],"46696223":[],"4676059":24,"467606":24,"469":[],"46932688":[],"4694":[],"46984697e":6,"469868":[],"46986815":[],"47":[2,3,4,9,14,21,23],"4703":[],"47042744":5,"470714":[23,24],"47075725":6,"47116868e":6,"47125748":5,"47132891":5,"47158029e":24,"47245463":[],"472455":[],"47248297":23,"47387858":[],"47400238":[],"47432993":[],"4744":[],"4744219":[],"47478057":[],"47482507":[],"47485224":[],"475311":[],"47531107":[],"47610036":6,"47726407e":20,"47815203":11,"47920156":[],"47942814":[],"479465113":4,"48":[2,3,4,9,14],"480":23,"48089797":[],"48133064":[],"481979":6,"48212873":[],"48257387":[21,23],"48316523e":[],"483257001":13,"4837":[],"48420165":[],"48442336":[],"48476997":11,"48574149":[],"486873":[],"48687342":[],"48739546":[],"48871288":[],"488713":[],"489":[],"489522":[],"48952201":[],"48971452":[],"48994188":5,"48it":[],"49":[2,3,4,5,6,9,11,14,24],"490":[],"49052317e":20,"491":[],"49152":3,"492":[],"49242688":[],"49282737":[],"493":[],"49385454e":[],"4940954":[0,23],"49468927e":20,"49545491":23,"4959161509356135e":[],"495916150936645e":6,"495916150936654e":[],"4959161509377256e":6,"495916150938325e":[],"49614357":[],"496337":[],"49633743":[],"49636583":[],"49666527e":20,"49672291":[],"49680475019226":[],"497":[],"49730046e":24,"498":[],"499":[],"4990":20,"499012":[],"49901244":[],"4992":20,"49932427e":5,"4997":20,"49974854":[],"49992743e":[],"4b5d3mupqma":[],"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[21,23],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],"50":[1,2,3,4,6,7,8,9,10,13,14,23,24],"500":[1,3,4,6,9,10,13],"500000":[],"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,"501":[],"501049":[],"50104946":[],"50105159":[],"5018":20,"50219982":[],"50227564e":6,"5031474174499113":[],"50314742":[],"50321091":5,"504167":[],"50416731":[],"504881":[],"50488131":[],"50584526":18,"506":[0,24],"506553":24,"50655336":24,"50680321e":[],"50727059":[],"50754416":[],"50769230769231":[],"50799086":[],"507d50":[9,10],"50812169":[],"50835355":5,"508354":5,"50846111e":[],"50846112e":6,"50931378":18,"50it":[],"50j":13,"50x10":1,"51":[2,3,4,10,14],"510":1,"51004249":[],"51075117":[],"51108791":18,"51126895e":[],"51131471":[],"511315":[],"51146442":23,"51150176":[],"51174395":[],"511888":5,"51191552":6,"511977":[],"51197747":[],"512132":[],"51214899":[],"51265232":[],"51289697":[],"512897":[],"5138":[],"51389553":[],"51400374e":24,"514219":[23,24],"51507839":18,"51561271":[],"51578522e":20,"51656406":23,"51664729":[],"51732028":[],"517350858882083":[],"5177783846":4,"517823":[],"51782322":[],"518030":[],"51803019":[],"5188328":[],"518833":[],"518895":23,"51900727e":24,"51933924":18,"519842":[],"52":[3,4,14],"520931":[],"52093124":[],"5216048821598704":[],"521719":[],"52171908":[],"5222222222222223":1,"522758":[],"522836":23,"52307692307693":[],"52362157e":24,"52512084":11,"52580392":5,"525804":5,"5260627":[],"526744":[11,24],"52713812":[],"52723079":[],"52744746":13,"52773051":[],"52799362":[],"528115":[],"52811546":[],"52819229":[],"52839842":18,"52874252":5,"529":[],"52911941":[],"52945798e":[],"53":[3,4,9,14],"5303329":11,"5305555555555556":1,"5312":[],"531280":[23,24],"53189647":[],"53219937":[],"53254035":[],"53312754":[],"533941":[],"53394148":[],"53423784":[],"534362":23,"53479276":[],"534793":[],"53502096e":24,"53603432":[],"53611562":[],"53623614":[],"53697476":[],"53703498":6,"5378811":11,"53794784":[],"537948":[],"53815559":[],"53822787":[],"5384615384615384":9,"53846153846155":[],"539261":[11,24],"53938383":[],"539384":[],"53952479":[],"539525":[],"53952664e":24,"539683":11,"53968309":11,"53971260e":24,"53it":6,"54":[3,4,6,9,14,20],"540":9,"54016188":[],"540162":[],"54039921":5,"54041041e":[],"54078623":11,"541605":[23,24],"54163136":[],"54302039":[],"543939":24,"54393936":24,"544439":[23,24],"54445121":18,"54537329":[],"546166676":[],"546712":[],"54671213":[],"5472246386316972":[],"54722464":[],"54780216":[],"54845458":[],"548455":[],"54886137":[],"54894095":[],"54956992":18,"54969168":[],"54it":[],"55":[1,2,3,4,9,14],"5501":[3,4,14],"55026099":[],"550321":[],"55202922":[],"552731":[],"55273102":[],"5539":[],"55505907":[],"555187":[],"55518724":[],"555496":[],"5554964":[],"55553537":[],"5555555555555556":1,"55571665":[],"55578041":[],"55626454":18,"55640013":23,"55640387e":24,"5566":[],"557795":[11,24],"558080":[],"55808001":[],"558241":[],"55824107":[],"55854694":11,"55907387e":24,"55914617e":24,"5594":6,"56":[1,2,9],"56033697":5,"56071752e":20,"561":[],"5611":[],"5615":[],"56183518":[],"56198284":5,"5625":[],"56302854":[],"563167":23,"56343926":[],"5639":[],"564":9,"564374":[11,24],"56437897":[],"564379":[],"56481272":23,"565":9,"565006":[],"56500639":[],"56536":[0,23],"56556315":[],"565651":[],"56565106":[],"566":9,"566074":[],"56607416":[],"56636616e":6,"567":9,"568":9,"56807589e":24,"56848886":[],"569":[1,9],"56912044e":6,"56939714":5,"56992937":[],"57":[0,2,8,9,21,23],"570":9,"5700":[],"571":5,"571092":[],"57109235":[],"571105947979336e":[],"571105947979352e":6,"571105947979394e":6,"571105947979395e":[],"571105947979439e":[],"57154252":[],"57174058":[],"57201944e":6,"572069":23,"57266138":[],"57350724":18,"57361898":[],"574465":[11,24],"57505712":23,"576431":[],"57643113":[],"57673618":[],"5769230769230769":9,"57776818e":20,"57810065":[],"57810898e":20,"57842073e":[],"578889":[],"57888946":[],"57947706":23,"57it":[],"58":[2,9,10,21,23],"58042237":18,"58084359":[],"58112299":[],"581123":[],"58171189":[],"58187347":[],"58312967":[],"5833333333333334":9,"583595":[23,24],"58395707":[],"58428804":[],"58474054":[],"584804":[],"58492636e":24,"58590795":23,"58666142":23,"58671946":[],"5888888888888889":1,"589":[],"58986647":[],"59":[2,9],"590":[],"591":[],"591317992":4,"591594":[],"59159438":[],"59182949":[],"59190877":[],"592":[],"593":[],"593040":[],"59304008":[],"59323905":[],"59367954":[],"5944444444444444":1,"59445979":[],"594460":[],"59468796":[],"59591979":[],"595920":[],"59592669":[],"59616454":[],"596165":[],"59654302":[],"59766":[],"597660":[],"59833875":[],"598392":[],"59839245":[],"59950055":18,"59955801":[],"5cm":20,"5dd54edf2138":[],"5f":8,"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,21,23,24],"60":[1,2,3,6,9],"60000":4,"60083846e":24,"60133562":[],"60158334":20,"601583341274718":20,"60176806":[],"6019067271":4,"601942":11,"60194224":11,"60236782":18,"60236938":[],"60293962":5,"603494":[],"60349429":[],"603636":23,"60420593":5,"6052136":[],"60538875":[],"60543038":24,"60619654":[],"6063219":[],"606439":[],"60673226":11,"606760":5,"60685864":[],"60791699":[],"6079169911277265":[],"608028":[],"60802823":[],"60815105":6,"6084611325305795":[],"60943791":[18,23],"60975366":23,"60980325":[],"60it":[],"61":[2,7],"61033524":[],"6111111111111112":1,"61123608":[],"612939":[23,24],"613579":[23,24],"61399851":[],"613999":[],"61406871":[],"614133":[],"61413333":[],"61463451":[],"614808":[11,24],"6149274949460215":[],"61520194e":24,"6153846153846154":9,"61576236e":[],"61634314":[],"61702282":6,"617572":[],"61757228":[],"618":[],"61808351":[],"618982":[23,24],"61899355e":24,"6199381169260247":[],"62":[],"621102":23,"62168613":[],"62170669":[],"621707":[],"62249103":[],"62364974":[],"62373464":11,"624220":11,"62422045":11,"62432074":[],"62470815e":24,"625":7,"62571673e":20,"62620724":[],"626635268":6,"62683307":[],"62759057":13,"62767384":[],"62806444":23,"62894215":5,"62896882":[],"62914124":23,"629961":[],"63":[0,1,6,7,24],"6300745149331701":24,"630224":[],"63025821e":6,"63112036":23,"63115792":23,"63162342":24,"63207808":[],"63249532e":6,"63270833":[],"63281351":23,"63332882e":24,"63367582":[],"633676":[],"633949":23,"63395187":[],"63430285":[],"6343356":5,"63498144":5,"63675140":[],"637104":11,"63710438":11,"637129335071195":24,"6371293350711955":[],"63734811e":24,"637545":[],"63754524":[],"63860687":[],"63862189":[],"63901111":[],"63it":[],"64":[1,2,3,4,7,13,18,23],"64012627":5,"64033527":23,"64064128":[],"64113381e":[],"64141716e":[],"642380":[],"64238022":[],"64293754":[],"64298419":23,"6431453":[],"64425009":[],"645":[],"64528459":[],"645285":[],"64615384615385":[],"646283":[11,24],"647":6,"64736858":18,"64742912e":6,"647473":[11,24],"6489862":[],"649339":[],"64933923":[],"649382":[11,24],"64972151":23,"64x50":1,"65":[1,2,7,8,9],"65136857":[],"65280103":[],"6530742540053943":[],"65335632":18,"653578701904388":9,"6536392":24,"65442354":24,"654424":24,"65444431":[],"65522261":[],"65571174e":24,"65578316":[],"65599456":24,"6562":[],"65626043":[],"65628853":[],"657041":23,"65743689":24,"65746064":24,"6577093":23,"65795279":18,"658":2,"65833132":24,"65885453":5,"65891389":24,"658914":24,"659":2,"659306":[],"65it":[],"66":2,"660":2,"66054752":[],"66064822":24,"66080313":24,"66087937":[],"66111673":[],"66204648":6,"66219404":6,"66226149":[],"66247212":[],"662854":[],"66285434":[],"6628996975186953":24,"66292841":[],"66294408":24,"66295776":[],"662958":[],"66310422":[],"6638":9,"66410989":[],"66443521":11,"6652177":24,"66560":9,"66614025":[],"66619972":[],"666200":[],"66620847":[],"66638078":[],"666597":23,"6669838269597004":[],"667":9,"667239":23,"668172":[23,24],"668186":[],"66818635":[],"66934291":[],"66950317e":24,"66973261":23,"66981186":[],"66it":[],"67":[2,9],"67047975e":6,"67054028":[],"671089":[],"67160204":23,"67258699":[],"672721":[23,24],"67314874e":[],"673457751724773":11,"67354673":23,"67442363":23,"67588315":[],"67591616":[],"67655635":23,"67697934":[],"67838309":[],"67882608":[],"67970864":[],"679709":[],"68":2,"68029036":[],"6808538439837775":[],"68127341":18,"68176047e":[],"68192193":5,"68246089":[],"682464":[],"68246434":[],"68279358":[],"68286725":24,"68322599":18,"6834195":[],"68485505":[],"68534263e":6,"68542204":5,"68545647e":[],"68626148e":24,"68664664":23,"6869":9,"68719389":[],"687194":[],"68731669e":20,"6887363571":4,"68886089e":20,"689230294669661":[],"68929213e":6,"689345":23,"68944595":[],"689519":[11,24],"68965135":[],"68it":6,"69":[2,7,9,20],"690":9,"69023787":[],"690569639355314":[],"69061276":[],"690617":[23,24],"69069n_":20,"69115646":[],"6914791":23,"69154964":18,"692":1,"6923076923076923":9,"69295955":[],"69363975e":24,"6943316601792833":[],"69481746":[],"69484813e":[],"69487891e":24,"69493539":[],"69504801":6,"6960326":[],"69634577e":6,"69695259":5,"69764852":18,"69826476e":24,"6984511994530214":[],"69908626":6,"69985355":[],"6999536":11,"69it":[],"6e75736fdab1":[],"6f7a6bd7d79f":[],"6m":[],"6n_":20,"6pm":23,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,18,19,20,22,23,24],"70":[1,6,7,9],"70037324e":24,"70127680":[],"701370":5,"70179437":[],"70205195":[],"70208087e":20,"70354373":[],"703716d317a7":[],"70421972e":24,"70434005":[],"70473799e":24,"7050":[],"70501534":18,"70598996":[],"70653767":4,"70710678":[5,24],"70721787":[],"707218":[],"70727837":[],"70769586":[],"70831425":[],"70832814":5,"7086067479626619":24,"709698":23,"70980493":[],"70it":6,"71":1,"71131626":[],"71142161":24,"711422":24,"7119":9,"712018":[11,24],"713163":23,"7134":[],"713487":[],"71348713":[],"71350226":[],"71441535":[],"7151":[],"71721168":[],"71737253":24,"71760245":[],"71761101":24,"718165":5,"71822416":[],"718697":[],"71869727":[],"72":[],"72057967":[],"72101205":[],"72174172":11,"72199579e":24,"722047011333792":[],"7221662":23,"72228205":23,"7225597":23,"72261919":[],"72271878e":6,"72347283":[],"7236674":5,"72373129":[],"72394787":[],"724":3,"72509099":[],"72522848":[],"72567956":5,"725680":5,"72594302":[],"72671218":[],"72855434":18,"72859758":5,"7293182":[],"72981762":8,"72986500e":20,"73":[2,6],"73005463":[],"7306310662842432":[],"731000":[23,24],"73174557":[],"73287103e":[],"733096":[23,24],"73406033e":[],"73484667":[],"735738558766299":[],"73573856":[],"737386":5,"73738602":5,"73752910":[],"7386068":[],"73947737":5,"73it":[],"74":[2,6],"740":9,"74081822":8,"741264":[],"74126425":[],"742975":[],"74297504":[],"74368436":[],"74384949":24,"743u":[],"7448615806559786":[],"74607851":24,"7469898175164704":[],"747224":11,"74722409":11,"74829661":24,"74840212":5,"7484669886413582":[],"74935095":18,"74943449":18,"749765":[23,24],"75":[2,5,6,8,9,11,23,24],"7501749450963715":[],"750445":[23,24],"75050135":24,"750u":[],"75106135":[],"75118364":[],"751275":[],"75127504":[],"751699":[11,24],"75170092":5,"75269037":24,"75350216":[],"75357263":11,"753573":11,"75357959e":24,"75361646":[],"753846153846155":[],"75453081":18,"7546383166870465":[],"75492292":18,"75517445":[],"75576555":24,"75621895":23,"756232":[],"75623206":[],"756352":[23,24],"75670484":5,"756705":5,"75703965":[],"757040":[],"75770568":24,"758193":[],"75819326":[],"75838233":[],"75853556e":24,"75it":[],"76":[2,9,21,23],"7601030735620569":11,"76060096":[],"76063234":[],"76066069":[],"763u":[],"76400155":23,"7643536":[],"765":7,"76529528":[],"76598941e":24,"76674796":[],"76731400e":[],"76802186":[],"768813":[],"76881337":[],"7692307692307693":9,"76923076923077":[],"76936315":5,"7694444444444445":1,"7696835316227453":11,"77":[2,9,21,23],"77034458":[],"770345":[],"7705527590466072":[],"77070756":5,"770708":5,"77085375":[],"77144798e":24,"77152076":5,"7718":9,"773329728649545":[],"77332973":[],"77333117e":[],"774300":[],"77494715":[],"775":[],"77533038e":24,"77559332":[],"77618224":[],"77627886":[],"77632220e":[],"77636e":13,"77662945":[],"7767978193240488":[],"77711437":[],"77714169":8,"77754132e":[],"7782028952":4,"77859437":23,"77865169":[],"77954956e":5,"78":2,"78009660e":24,"78011544":[],"78156479e":[],"78184120e":6,"78286771":[],"78329097":23,"7843182645426894":[],"78459267":18,"7846153846154":[],"785061":23,"7851533175757255":[],"78561443":18,"78596961":[],"7860324":18,"78674758":[],"787349":[],"7873493":[],"78752269":[],"78941903":5,"78972773":23,"78988962e":[],"79":2,"79009329":[],"790818":[],"79081838":[],"79093776":[],"79111643":5,"791123":[],"79135075":[],"79145214e":[],"7923086060375724":[],"79230861":[],"79285683e":24,"793167":[23,24],"79394867":[],"7939646":[],"79419162":23,"794282":[11,24],"79441434":[],"79449156":[],"79512696":[],"79552752":[],"79602861":[],"79754246":[],"797e":6,"79856831e":[],"798761":[],"79876149":[],"7bsq":[],"7c394b1e8b71":[],"7d7d58":[9,10],"7f2b3a6174c2":[],"7jexgh5soo":[],"7m":[],"7odqolophta":[],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],"80":[0,1,2,5,6,8,9,24],"800":[4,7],"800615":[],"80108096":23,"80162359":[],"802796":[],"80279641":[],"80280228":[],"80315282":[],"803153":[],"80344720e":24,"80354994":6,"803804":[],"80380438":[],"80422999":20,"80469739":5,"8049181":[],"8055555555555556":1,"80561191":[],"80609615e":6,"80609616e":6,"80638926e":24,"8064":[],"80661365":[],"806614":[],"80728853":[],"80734875":[],"807349":[],"80738685":[],"8074242":[],"80747253":[],"80842254":[],"808423":[],"80847477e":6,"80947943":23,"80961969e":20,"80994952":[],"81":[1,2],"81048318e":6,"8108619":[],"81160425":5,"81187794":[],"81333804":6,"81333805":[],"81388724e":[],"814":[7,11],"815563":[],"81592628":[],"815am":[21,23],"81633628":11,"816454":[23,24],"81656508":23,"81671821":[],"81681019":[],"816847":[23,24],"8175":[],"818059":5,"81805914":5,"81912272":[],"8192798":[],"81955926":[],"81974332":[],"82":2,"82027884":18,"82073684":[],"8219235992494145":[],"8219236":[],"82198978":5,"82250097e":24,"82358522":[],"823585220707946":[],"82404007e":24,"82454365":[],"82484316":[],"82592":18,"82650876":[],"826509":[],"8265786":5,"82747653":[],"827477":[],"82750687":18,"82773778":[],"828190347382744":[],"82819035":[],"82949718e":20,"829648415811072":[],"82964842":[],"82997013e":5,"83":[2,23],"8305555555555556":1,"83320794":11,"833208":11,"8338786":[],"834027":[],"83402742":[],"83512277":5,"83516719e":20,"83632853":11,"836874":[],"83687444":[],"83698677":[],"83757843":[],"83760781":23,"839818":23,"83982725":[],"83999999999999":[],"83it":[],"84":2,"84031027e":24,"84062065":[],"84203538":[],"84228957e":[],"84232163":[],"842436":[23,24],"84292394":[],"842u":[],"84310736":[],"84317815":18,"84355903e":1,"8437169762110144":20,"84371698":20,"84443254e":1,"84569271":[],"84614066":[],"8461538461538461":9,"84653115":[],"84780262":6,"84854738":[],"848618":[],"84861838":[],"84886051":[],"848861":[],"84923989e":6,"84924834":[],"84942942":[],"84977962":[],"84994524":5,"85":[1,2,9],"850164":5,"8503720991789538":[],"85065653":[],"85071429e":24,"85086629":[],"85091337":[],"85102768":11,"85104809":18,"85120833":[],"85263220":6,"8527777777777777":[],"85278920e":[],"853241":[],"85324115":[],"853835":23,"853u":[],"8548082":[],"8557822":[],"85601992":5,"85694362":[],"85758696":[],"858":9,"858185":23,"8583333333333333":1,"85843684":[],"85953586":[],"85959007":[],"85979474e":24,"85it":6,"86":2,"86014003e":24,"8608479":[],"860848":[],"861":[],"86117291":5,"86134827":5,"86145244":11,"861676":23,"86171505":[],"86181269":18,"86252988":6,"86361743":[],"8638888888888889":1,"86425056":[],"864251":[],"86478158":[],"865158":5,"86515815":5,"86546962":[],"86550074":[],"86572911":23,"86623151":[],"86630":9,"86635201e":20,"8666666666666667":1,"86810":9,"86879198":[],"868792":[],"86893619":[],"869":[0,23],"86905621":[],"86925797":[],"869258":[],"87":[9,24],"870":[0,23],"8702784034":4,"8705211":[],"87072815e":24,"87099757":18,"871":[0,23],"87191952":[],"871920":[],"872":[],"8722222222222222":1,"87243817":[],"873":[0,23],"87327414":[],"87379129":13,"87381451":5,"874":[0,23],"874951":[],"87495119":[],"875":1,"8759":13,"876":6,"87618586":13,"87625493":[],"87647541":[],"876664":[],"87666423":[],"87667593906086":[],"87667594":[],"8768":[],"878123":23,"878297":[],"87836018":[],"87849647":[],"87902877":23,"8792323":[],"879271":[],"87927126":[],"87927601":[],"87940752":[],"87it":[],"88":[2,13],"88001352":[],"88017651":[],"880177":[],"88031314":[],"88046261":5,"8805555555555555":1,"88063413":[],"88118231":[],"88137798":[],"88168312e":6,"881788":[],"88182591":24,"8826033":[],"88274486":23,"883":[],"88323026":24,"88335933":18,"88336879":5,"88352503e":24,"884":[],"88450476":18,"884669":24,"88477619":[],"885":[],"8850944":[],"88512489":[],"88529063e":6,"8855417382991412":[],"88554174":[],"88560514":[],"88595926":[],"886":[],"88613493":24,"8866190885623907":[],"88661909":[],"88679947":[],"887":[],"887366":[],"88736621":[],"88746795":[],"8879":[],"88871662":[],"8888888888888888":1,"889080":[],"88908038":[],"8894":[],"889686":[],"89":[0,2],"89045167":[],"89126914e":24,"8916666666666667":[],"89274639":[],"89288636":11,"89298533":[],"89335182":[],"893352":[],"893489":[],"89348922":[],"89396164e":20,"89410423":5,"8944444444444445":1,"89543736":23,"89545727":[],"89550839":[],"89565264":[],"89582298":[],"89591553e":24,"8962476":[],"896248":[],"89842298":18,"89873772":[],"89876748":[],"8991514":[],"89944994":[],"899450":[],"8f":6,"8g":6,"8n":18,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,19,20,21,23,24],"90":[1,2,6,9],"900449":[],"9005135872087155":[],"90054363":[],"90066122":[],"9007164":[],"90075537":5,"9011":6,"90220243":5,"90252116":18,"90266948":5,"90268858":[],"9027777777777778":1,"9033":[],"90342093e":20,"903824":[],"90382431":[],"904":[],"9040":9,"904221":18,"90475506e":6,"90491568e":20,"90540529":[],"9055555555555556":1,"90559087":[],"905591":[],"90595152":[],"906298":11,"90629812":11,"906747":5,"90694878":[],"90813514":24,"9083333333333333":[],"90884627":[],"90895045":[],"90940378":[],"90999452e":[],"91":[21,23],"910":9,"9111111111111111":1,"91124889":[],"91128596":5,"912u":[],"913":[],"91346044":18,"91379157":[],"913791573406831":[],"91383439":[],"91396388":[],"914":[],"91416375":[],"91479093":[],"91492986e":6,"915":[],"91511388":[],"91549644":[],"915549":5,"916":[],"91616374":[],"916164":[],"9166666666666666":9,"91682433":[],"917":[],"91760278":5,"918":[],"91812702":5,"918992":[23,24],"919":[],"91936525":23,"9196398947631166":[],"91it":[],"92":[6,9,21,23],"92087142":[],"9212905":[],"921291":[],"92143477":[],"921435":[],"92208477":[],"922085":[],"92272314":[],"922u":[],"9230769230769231":9,"92343595":[],"923602":23,"92373266":[],"924018":[],"92461411":[],"92477093":[],"924e":6,"925":1,"92507116e":1,"9252772":[],"92578916":5,"92603747":[],"92626212":[],"92631966":[],"926320":[],"926583":[],"92658312":[],"92738529e":20,"92754397":[],"927544":[],"9277777777777778":1,"92811987":[],"92817032":[],"92819235":[],"92857143":7,"92888885":[],"92916438e":24,"9292":6,"92921648":[],"92968793":[],"92995253e":24,"92it":[],"93":[],"93023603":13,"93037171":[],"930372":[],"9305555555555556":1,"930583":[],"930683":[],"93082503":23,"931":[0,23],"93155188":5,"93158979":5,"93188452":[],"931885":[],"93229640e":24,"93248252":[],"932483":[],"932u":[],"933":5,"93325497":[],"93371943e":20,"93386901":18,"93414191":[],"93492130e":6,"93522293":13,"93579127":[],"93586895":[],"935u":[],"93601008e":24,"9361111111111111":[],"936762":[],"93676229":[],"936856":[],"93685631":[],"937":20,"937082":[23,24],"93792215e":24,"93799826":5,"938":20,"9383327":[],"9387":9,"939":[0,20,23],"94":[7,20],"9400":[],"94054854":[],"940549":[],"94076632":18,"940776":[],"94077605":[],"94107596":[],"94117118":23,"941866404575299":[],"94212937":[],"94226022e":6,"94227931":23,"9424":[],"94273542":24,"94284104":5,"94320205":5,"94321297":[],"9444444444444444":1,"945":[],"94548496":[],"94591015":[18,23],"946":[],"94639099":11,"946393":[],"94659383":[],"946957":5,"947":[],"9472222222222222":1,"94735055":[],"947903":[],"94790323":[],"948":[],"94822514":6,"9482527":5,"94861749e":24,"948641":[],"94867516":20,"948675162607389":20,"949":[],"94905663":[],"94915262":[],"94917559e":24,"9492866":18,"94986593":[],"95":[1,7,9,11],"95008046":6,"95011994e":20,"95054046":[],"95079764":[],"95136998":0,"95231424":5,"952387":24,"9524":[],"9527777777777777":1,"95284275":5,"95302":[],"953065564":1,"95351665":5,"9538239":[],"954":20,"95446837":[],"9549351910143222":[],"954988":[],"954u":[],"95511792":24,"955118":24,"9555555555555556":1,"95569422":[],"955820c21e8b":4,"95645365":11,"956454":11,"956563":[11,24],"95684892":5,"95703":13,"95714723":[],"957147232685324":[],"957421":[],"95742107":[],"958228616652075":[],"9582286166520774":5,"95824108":18,"958476":[],"95911004":18,"95994091":[],"95it":[],"96":[6,7,11],"960":20,"9601304850018328e":[],"960130485007504e":6,"960130485007934e":[],"9601304850213484e":[],"96013048502692e":6,"96024953":5,"96032148":[],"96081861":18,"96084663":5,"961":20,"962":20,"96251494":18,"9626883":[],"962990":23,"9631064":23,"9635449873404844":[],"9637117593816477":6,"96390357":[],"9640435":5,"964268":[],"96426825":[],"96431281":23,"964735":[],"96473528":[],"96489434":[],"9649652536":4,"96496641":18,"96527903":[],"96534137":18,"96542994e":24,"96551427e":[],"96552318":23,"965548":[23,24],"96601782":[],"96606158":[],"96620033":[],"96631321":24,"96653373":[],"96670977":[],"96686324e":[],"96688672":5,"966899":23,"96735081e":24,"9674916":5,"967536":[],"9675364":[],"96769675":[],"9678":[],"967809":[11,24],"96812218":[],"96863851":[],"96941962":23,"96987657":[],"96992454":[],"96it":[],"97":7,"97005689":5,"970057":[],"970477":[],"97047717":[],"97065296":[],"97108e":13,"97117751":[],"971688":18,"97202":[],"9722222222222222":1,"972286":11,"97228638":11,"97230501":[],"97243128":5,"97300836":5,"97305528e":20,"97434186":[],"97477238":[],"97497404e":6,"975":1,"97507735":5,"97509292":23,"97547354":[],"97547354476579":[],"975510299261579":[],"9760832":[],"97656972":13,"97705827":5,"97708897":11,"977089":11,"97713364":18,"97731700e":24,"977418":[],"97758848":5,"9777777777777777":1,"977880":[],"97788031":[],"9780387310732":22,"9780387848570":22,"9781492032632":22,"97840468":[],"978553":5,"97898392":[6,24],"97906022e":24,"97926491":5,"97952271":18,"97955570e":20,"97980332":13,"97it":[],"98":[0,1,7,9],"980":9,"98005862e":24,"98017611":[],"98036405":[],"9805555555555555":1,"98091621":5,"98129668":23,"981321":[23,24],"98139097":5,"98153145":[],"98248312":[],"98249059":[],"982491":[],"98266587":[],"98275501":5,"982758":[],"98275836":[],"98316352":[],"983164":[],"983310":[23,24],"98346748":[],"9835443722554817":[],"98399675":[],"98400474":18,"98413059":5,"984525":[],"98454786":5,"98467494":[],"985":20,"98566191":5,"98581925":18,"986":20,"9861111111111112":1,"986699":5,"98680716":5,"98699753":[],"98716878":5,"98740124":[],"98756882":[],"98794823":[],"9879924":[],"98808176":5,"98822371":6,"98842948e":24,"9888888888888889":1,"989":20,"9890348":5,"9893149172528393":[],"9893447":5,"98947894":24,"98950411":23,"9898254753574576":[],"98982548":[],"9898ff":[9,10],"99":[7,9,11,13],"990":9,"99009525":5,"9902552771282336":[],"99049330":[],"99051150":6,"99088801":5,"991":20,"99115119":5,"99157584":[],"99176998":5,"992":20,"9920099299023244":[],"99242921":5,"992504":11,"99265097":5,"99274513":[],"993":20,"99316252":5,"99353454":[],"993535":[],"993537":[],"99353748":[],"99371056":5,"99374388":[],"993865":[],"99389612":5,"993972":[],"99397245":[],"9940672992288855":[],"9943201":5,"99435648":[],"9947756":5,"99492986":5,"99498108":[],"99519225":[],"9952495547161103":[],"99528218":5,"99539415":5,"9954911579937146":[],"9955282554647219":[],"9956582":[],"99566069":5,"99578809":5,"9959293935368551":20,"99594988":[],"995950":[],"9959898232423614":[],"996":5,"9960039497353536":[],"99608161":5,"9962074631757628":[],"9963202597920238":24,"9963525271588923":24,"9963864072152893":[],"9963961":5,"99650061":5,"9965048209369255":24,"996694948530336":[],"9967458":5,"99700706":5,"99709215":5,"99724883":[],"99729756":5,"9973102337301051":[],"99751458":5,"99758326":5,"99775587":5,"99775949":[],"99793613":5,"99799099":5,"99813653":5,"99820454":[],"99828624":5,"99829953":[],"9983295":5,"99845267":5,"99854557":24,"998577":5,"99861053":5,"99862019":24,"99869482":24,"99871521":5,"99876945":24,"99881845":5,"99883628":24,"99884384":5,"99884409":24,"99891093":24,"99891873":24,"99893323":5,"99898558":24,"999":[9,20],"99901131e":24,"99901896":5,"99903755":5,"99906023":24,"99911427":5,"99912709":24,"99913489":24,"99918546":5,"99919837":5,"99920175":24,"99926459":5,"99927642":24,"9993237":5,"99933188":5,"9993511":24,"99938942":5,"99941797":24,"9994385":5,"99944272":5,"99949266":24,"99949306":5,"99953381":5,"99953475":5,"99956735":24,"99957911":5,"99961294":5,"99965056":5,"99967865":5,"99970894":24,"99970988":5,"9997332":5,"99975913":5,"99977416":[],"99977849":5,"99978365":24,"99980002":5,"9998161":5,"99984732":5,"99987324":5,"99989476":5,"99991263":5,"99992698":[],"999927":[],"99992746":5,"99993978":5,"99995":5,"9999555851685968":[],"999955585168597":6,"9999840939906267":[],"9999858320366368":[],"9qcu8vcxxru":[],"9x":6,"9y":6,"\u00f8yvind":[6,24],"abstract":1,"boolean":4,"break":[0,4,6,11,14,23],"byte":[18,23],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,17,18,23],"catch":[0,23],"char":[],"class":[0,1,3,4,6,7,8,9,11,12,13,20,23],"const":[],"default":[0,1,2,4,6,7,13,16,18,23,24],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,24],"ekstr\u00f8m":4,"eng\u00f8i":[],"enum":[3,4,14],"export":9,"f\u00f8470":[21,23],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,19,20,21,23],"float":[0,3,4,5,9,11,13,14,18,23,24],"function":[2,3,4,5,9,14,15,16,17,18],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,16,20],"int":[0,1,2,3,4,5,6,11,13,14,18,20,24],"long":[0,1,3,4,12,13,23],"m\u00f8svatn":6,"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,18,23,24],"null":23,"public":[0,3,4,14,17,23],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,18,20,23,24],"s\u00f8rli":[],"s\u00f8rlie":[],"sch\u00f8yen":[6,24],"short":[4,5],"steinsv\u00e5g":[],"super":[5,24],"switch":0,"throw":[3,6,20],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,20,23,24],"try":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,23,24],"var":[1,5,6,10,11,13,20,23,24],"while":[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],A:[2,3,5,6,7,10,11,12,13,16,17,18,19,20,21,22,24],AND:2,And:[0,3,4,5,6,9,13,17,20],As:[0,1,2,3,4,5,6,8,10,12,13,16,18,20,23,24],At:[0,4,6,13,23],BE:[0,23],Be:[2,17,23],Being:13,But:[0,1,2,3,5,6,9,10,20,24],By:[0,3,5,6,12,13,18,23,24],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24],IF:6,IN:22,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],Is:11,Ising:[5,12,24],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],Its:[1,2,4,11],NO:[7,11],No:[6,9,23],Not:[0,1,5,6,23,24],OR:20,Of:20,On:[0,3,15,19,20,21,22,23],One:[0,1,3,4,5,6,7,8,11,12,13,20,24],Or:[0,1,6,23],Such:[0,6,12,16,20],That:[0,5,7,10,11,12,14,20,23],The:[4,10,13,14,15,16,18,19,20,21,22],Then:[0,1,6,8,9,10,11,12,13,14,18,23,24],There:[0,3,4,5,6,8,9,11,12,14,18,19,20,21,23,24],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,18,20,21,23,24],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20],With:[0,5,6,8,9,10,11,12,14,18,20,23,24],_0:[5,8,10,11,13,24],_1:[2,5,6,8,10,11,12,13,14,18,24],_2:[2,5,8,11,12,13,18,24],_3:18,_4:18,_9:13,_:[0,1,2,4,5,6,7,8,9,10,11,12,13,18,23,24],_________________________________________________________________:[],__call__:[],__class__:10,__doc__:6,__future__:[8,9],__getitem__:[],__init__:[1,2,3,4,14],__main__:2,__mosek:[],__mul__:2,__name__:[2,10],__traceback__:[],__version__:[3,4,14],_api:[3,4,14],_asarrai:[],_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,18,20,24],_auto2:[2,3,4,5,6,12,13,18,20],_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],_ax:[],_base:8,_broadcasting_shape_rul:[3,4,14],_build:[0,17,22,23],_build_call_output:[],_c:1,_call:[],_call_flat:[],_check_1d:[],_check_optimize_result:[7,11],_compon:11,_config_pb2:[],_coordinate_desc:6,_copy_docstring_and_deprec:[],_cpgg0jyh8m:[],_decor:[0,23],_delta:[3,4,14],_depth:9,_dilate_shap:[3,4,14],_ey:[3,4,14],_fraction:9,_get_lin:[],_getitem_multilevel:[],_handl:[],_i:[0,1,2,5,6,7,8,11,12,13,15,16,23,24],_inference_funct:[],_interpolatefunctionerror:[],_is_primit:[],_j:[0,1,2,3,5,6,8,13,24],_jit_compil:[],_k:13,_l:12,_lambda:[6,23],_leaf:9,_logist:[7,11],_m:10,_make_vjp:[2,13],_maybe_define_funct:[],_multilayer_perceptron:1,_n:[2,5,8,11,13,24],_node:[2,9,13],_not_impl:[3,4,14],_notokstatusexcept:[],_np:[],_num_output:[],_one:[3,4,14],_p:[5,8,24],_plot_arg:[],_process_traceback_fram:[],_r:[],_ratio:11,_reduce_and:[3,4,14],_reduce_max:[3,4,14],_reduce_min:[3,4,14],_reduce_or:[3,4,14],_reduce_sum:[3,4,14],_reduce_window_max:[3,4,14],_reduce_window_min:[3,4,14],_reduce_window_prod:[3,4,14],_reduce_window_sum:[3,4,14],_sampl:9,_select_forward_and_backward_funct:[],_split:[6,9],_src:[3,4,14],_stateful_fn:[],_stateless_fn:[],_sy:[3,4,14],_t:13,_test:6,_trace:[2,13],_tri:[3,4,14],_upcast_fp16_for_comput:[3,4,14],_valu:[2,13],_varianc:11,_weight:9,_xla_comput:[3,4,14],_zero:[3,4,14],a0:3,a0faa0:[9,10],a1:[0,23],a2:[0,23],a3:[0,23],a4:[0,23],a_0:[0,23],a_1a:[0,23],a_2a:[0,23],a_3:[0,23],a_3a:[0,23],a_4:[0,23],a_4a:[0,23],a_:[0,1,16,18,23,24],a_h:1,a_i:[0,1,2,12,23],a_j:[1,12],a_k:[0,1,12],a_ndim:[],aaron:22,ab:[0,2,5,13,14,23,24],ab_channel:17,abandon:1,abbrevi:19,abid:20,abil:[0,10,23],abl:[0,1,4,5,6,7,10,12,13,16,24],abort:[],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,21],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,22,23,24],abovement:6,abscissa:13,absolut:[0,2,5,6,13,23,24],absorb:24,acceler:13,accept:[0,3,6,9,23,24],access:[0,3,11,20,24],accid:[4,6],accident:[3,4,14],accmod:[],accompani:[0,23,24],accomplish:[8,9,13],accord:[0,1,2,5,6,9,12,13,14,15,16,20,23],accordingli:11,account:[0,3,5,13,15,20,23],accumul:[12,13,20],accur:[0,3,4,6,10,13],accuraci:[0,1,3,4,5,6,7,9,10,11,12,23,24],accuracy_scor:[0,1,10,23],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,18,23],aco:20,acquaint:[17,23],acquir:[1,17,23],acr:[0,24],across:[1,3,6,9,17,23],act:[1,3,18],action:20,activ:[0,2,3,4,9,19,21,23],actual:[0,1,4,5,6,8,11,16,18,20,23,24],ad:[1,3,4,5,8,13,14,15,16,18],ada_clf:10,adaboostclassifi:10,adadelta:13,adagrad:[],adam:[1,3,4,21,23],adapt:[4,6,13,22,24],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,20,23,24],add_lin:[],add_outgrad:2,add_subplot:[1,7,12,14],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,18,20,21,22,23,24],addition:[12,13],address:[1,9,11,13,23],adjac:[3,12],adjoint:[5,24],adjust:[0,5,12,13],admir:[0,23],advanc:[4,6,12,22,23],advantag:[1,3,5,6,10,13,18],adversari:23,afecionado:23,affect:3,affin:[0,3,8,11,24],afford:3,aficionado:23,aforement:14,african:[0,24],after:[0,1,2,4,5,6,9,11,12,13,15,17,18,20,23,24],afterward:[0,23],ag:[0,7,19,23,24],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,20,23,24],against:[1,4,7,10],agegroup:7,agegroupmean:7,aggreg:[9,10],agorithm:10,agre:[5,6,20],agreement:13,ahead:9,ai:[0,22],aid:11,aim:[0,1,4,6,7,11,14,15,16,17,18,24],ainv:5,airplan:3,aka:5,al:[0,2,4,15,16,22,23,24],alarm:[5,7],algebra:[0,3,5,13,17,24],algo:[],algorithm:[0,1,2,4,5,6,7,8,13,14,17,18,20,22,23],align:[0,2,5,6,7,8,13,20,23,24],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24],all_gath:[3,4,14],all_to_al:[3,4,14],allevi:[1,13],alloc:[3,18],allow:[0,1,2,3,5,6,8,10,13,15,16,17,18,23,24],almost:[0,1,6,8,11,13,20,23],alon:[2,9],along:[2,3,4,5,6,9,10,11,17,18,23,24],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,20,23,24],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,alreadi:[2,3,4,5,6,10,12,17,18,20,23,24],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24],alter:1,altern:[0,1,4,5,6,7,8,9,11,13,18,23,24],although:[0,1,5,6,8,10,13,16,23],alwai:[0,3,5,6,12,13,16,20,23,24],am:[4,24],ame2016:[0,23],american:[0,24],among:[0,3,5,9,10,12,18,23,24],amongst:5,amount:[0,1,3,4,6,8,10,14,17],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,24],an_:20,anaconda3:[],anaconda:[0,1,15,17,23],analog:13,analys:6,analysi:[1,3,4,7,14,15,16,18,22],analyt:[2,3,5,6,7,12,13,15,17,23,24],analyz:[0,1,3,4,5,6,14,16,20,23,24],andrew:1,angl:[0,3,9,24],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,20,23,24],anim:[4,12],ann:12,annot:[0,1,3,7,8,23,24],announc:23,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,18,20,23,24],anp:2,ans_vspac:2,ansatz:[0,23],answer:[0,1,3,5,6,18,21,23],antialias:[2,6],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,20],anytim:[21,23],apach:[1,3,4,14],apart:[11,13],api:[1,3,4,14,17,23],appar:2,appear:[0,1,3,13,16,18,20,23],append:[1,3,4,8,9,13,23],appendcon:[],appendvar:[],appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,20,22,23,24],applic:[0,1,3,4,5,6,7,9,12,13,18,20,22,23,24],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,20,22,24],appropri:[2,6,9,12,13,17,20],approv:23,approx:[0,2,3,6,10,11,13,20,23],approxim:[0,1,2,3,4,5,6,7,10,11,13,20,23,24],apt:[0,15,17,23],aq:20,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],aragorn:23,arang:[1,3,4,6,7,9,10,12,13,23],arbitrari:[1,4,6,8,12,13,20],arbitrarili:[0,1,11,23],arc:6,architectur:[3,4,12],area:[0,3,6,9,22,23],arg:[0,2,13,23],argc:[],argmax:[1,11],argmin:[4,10,14],argnum:[2,13],argnum_0:2,argnum_1:2,argsort:11,argu:[1,13],argument:[0,2,3,5,6,11,12,13,23,24],argv:[],argval:2,aris:[0,6,12,13,20,23],arithmet:[0,13,18,23],arm:[3,4,6,14],arma:[],armadillo:18,around:[0,1,4,5,6,11,20,23],arr:2,arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,20,24],arrang:[3,23],arraybox:[2,13],arriv:[0,6,9,11,18,20,23],arrow:12,arrowprop:8,art3d:13,art:[0,1,15,17,23],articl:[0,3,4,6,10,23,24],artifici:[0,2,7,12,22,23],artificialneuron:12,arug:13,arxiv:[3,4],as_fram:24,asap:23,asarrai:[0,2,6,9,24],asc:[],ascii:[],ashrafi:[],asid:24,ask:[5,6,11,12],aspect:[0,6,17,23,24],assembl:[0,3,23],assert:4,assess:[0,6,23,24],assici:4,assign:[0,7,8,9,12,13,14,19,21,22,23,24],associ:[0,6,9,12,14,20,23],associative_scan:[3,4,14],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],assumpt:[0,3,5,6,9,11,20,23,24],ast:[0,5,6,23],astronomi:[23,24],astyp:[4,9,10],asymmetri:[0,23],asymptot:[4,6],async_wait:[],atla:23,atoi:[],atom:[0,23],attempt:[0,4,6,7,8,10,23],attend:19,attent:[0,18,23],attr:[],attract:[0,10,23],attribut:[0,3,4,9,13,14,23],attributeerror:[3,4,13,14],audi:[0,23],audio:[3,4],august:[15,16,23],aurelien:[0,15,19,22,23],austfjel:6,author:[0,1,3,4,10,14,20,23],authour:23,auto:[6,9,10,20],autocor:20,autocorrelation_tim:20,autocorrelform:20,autocovari:20,autoencod:[4,17,23],autoencond:17,autograd:[17,23],autograph:[3,4,14],autom:[0,17,22,23],automac:18,automag:23,automat:[0,1,2,3,4,11,16,17,18,23],automobil:3,autonom:4,avail:[0,1,4,6,10,11,15,17,18,19,21,22,23],averag:[0,1,3,6,9,10,13,14,20,21,23,24],avg:[],avoid:[0,3,4,5,6,9,11,13,14,18,23,24],avx2:[],avx:[],awai:[2,3,6,24],awar:[2,10],award:[21,23],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,23,24],axes3d:[2,6,13],axes_grid1:6,axessubplot:24,axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,20,23,24],axiom:5,axlabel:[0,23],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,20,21,23,24],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:[0,1,2,12,23],b_ia_:[0,23],b_ia_i:0,b_index:9,b_is_vec:[],b_j:[1,12],b_k:[0,1,12,13],b_m:12,b_meta:[],b_score:9,b_valu:9,bachelor:[19,21],back:[0,3,4,5,6,8,9,10,15,18,20,23,24],backbon:18,backend:[1,4],backend_specific_transl:[3,4,14],background:[22,23,24],backpropag:1,backtrack:9,backup:18,backward:[1,2,4,12,18],backward_pass:2,bad:[6,24],badli:20,bag:[9,17,23],bag_clf:10,baggin:23,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:6,band:18,bandwidth:18,bar:[0,6,11,15,16,23],barber:22,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,17,20,21,22,23,24],basi:[5,7,8,10,11,12,13,18,24],basic:[2,6,8,12,13,14,17,20,23],batch:[3,4,11,12,13,14],batch_shap:4,batch_siz:[1,3,4],batchnorm:4,bay:7,bayesian:[5,17,22,23],bbupeevmxtg:[],bc298b802fe2:[],beam:23,becattini:21,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,23],beccatini:23,becom:[0,1,2,5,6,7,9,12,13,20,23,24],been:[0,1,2,3,4,5,6,11,12,13,17,18,23,24],befor:[0,1,2,3,4,5,6,7,8,12,13,14,18,20,23,24],beforehand:[0,20,23],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,21,23,24],behav:[1,6,13],behavior:[0,1,13,23],behaviour:12,behind:[0,1,6,8,13,23],behnoosh:[],being:[0,1,2,3,4,5,7,8,10,11,12,13,20,23,24],believ:[9,18],belong:[7,8,9,13,14],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],benchmark:10,bendik:[],benefici:[1,13],benefit:[0,1,4,11,13,15,17,23],bengio:[1,19,22,23,24],benign:[1,7,9],bennosh:[],besid:[4,5],bessel:[5,24],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,21,23,24],beta:[0,1,3,5,6,7,10,11,13,16,23,24],beta_0:[0,1,3,5,6,7,13,23,24],beta_0x_:[0,23,24],beta_1:[0,1,3,5,6,7,10,13,23,24],beta_1x_0:[0,23],beta_1x_1:[0,7,23],beta_1x_2:[0,23],beta_1x_:[0,23,24],beta_1x_i:[7,13,24],beta_2:[0,3,13,23,24],beta_2x_0:[0,23],beta_2x_1:[0,23],beta_2x_2:[0,7,23],beta_2x_:[0,23,24],beta_2x_i:24,beta_3:3,beta_3x_i:24,beta_4x_i:24,beta_:[0,3,6,7,13,23,24],beta_i:[0,3,5,23,24],beta_j:[0,5,6,13,23,24],beta_k:13,beta_linreg:13,beta_m:10,beta_mg_m:10,beta_n:3,beta_p:7,beta_px_p:7,betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,23,24],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,20,23,24],beyond:[0,1,5,6,8,13,23,24],bf:[13,14,18,20],bgd:13,bia:[0,1,2,3,5,8,9,10,12,13,23,24],bias:[1,2,3,5,6,9,12],big:[0,1,2,5,6,14,23],bigger:[1,6,24],bigr:12,bike:9,bilbo:23,bilek:[],billion:[3,12,17],bin:[0,7,20,24],binari:[0,2,3,5,7,9,10,12,23],binarycrossentropi:4,bind:[0,24],binomi:[17,20,23],binsboot:6,bioinformat:[0,23],biolog:[1,12],bios1100:[17,23],bird:[0,3,23],birth:23,bishop:[19,22,23],bit:[1,4,18,20,23],bitwis:[3,4,14,20],bivari:2,bk:[0,13,24],bla:[18,23],black:[8,9,14],bledso:23,blob:23,block:[6,10,17,18,20,23],blockingavg:[],blockingstd:[],blockingvar:[],blocksiz:[],blocksizemax:[],blocksizemin:[],blogpost:4,blue:[0,3],bluntli:23,bm:24,bmatrix:[0,1,3,5,7,8,11,13,18,23,24],bmi:1,bodi:[0,1,4,12,23],bold:1,boldfac:[0,5,16,24],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,23],boltzmann:[12,17,23],book1:22,book:[22,23],boost:[1,9,17,23],boostrap:10,bootavg:[],bootstd:[],bootstrap:[1,13,17,23],bootvar:[],bootvec:[],borrow:23,boston_dataset:[0,24],bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,17,18,20,21,23,24],bottl:7,bound:[0,8,12,24],boundari:[2,4,8,11,12],boundkei:[],box:[4,9],boxed_arg:2,boyd:[8,13],bracket:[4,20],brain:[1,7,12],branch:9,breast:[5,7,11],breviti:13,brew:[0,15,17,23],brg:8,brief:24,briefli:[0,23],bring:[0,5,6,10,23,24],broad:[0,23],brought:[13,17,23],brownle:4,browser:23,brunton:[],brute:[3,5,11,24],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,18,20,23],built:[0,1,3,4,6,24],bunch:11,busi:[0,24],bx:[],bzl:[],c1:[8,11],c2:[8,11],c95af3df0cdd:[],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],c_0:20,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,20,24],c_i:[12,13],c_k:20,ca:[1,23],cabc613b8702:[],cach:10,cal:[0,8,10,12,13,15,16,23],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,20,23],california:24,call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],callabl:[],callback:[],calor:[0,24],cambridg:[13,22],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],cancel:[0,13,23,24],cancellation_manag:[],cancer:[5,10],cancerpd:7,candid:[8,9,10],cannot:[0,1,4,5,6,7,8,9,19,20,23,24],canopi:[0,15,17,23],canva:23,cap:5,capabl:[0,1,8,13,17,23],capac:[2,21],capita:[0,24],captur:[4,11,12],captured_input:[],car:[3,4],card:[0,7,23],cardin:1,care:11,carefulli:13,carlo:[0,6,17,20,22,23],carri:[2,6,7],cart:10,carvalho:[],casella:22,cast:1,cat:[3,4],categor:[0,1,3,9,11,23],categori:[0,1,3,7,10,12,14,23,24],categorical_crossentropi:[1,3],caus:[0,5,6,20,23,24],causal:0,causat:[0,23],cax:1,cb:[6,23],cbar:1,cbook:[],cc:[0,1,5,13,23,24],ccc:[5,12],cd_fast:6,cdf:20,cdot:[0,2,6,12,13,14,18,20,23],celebr:13,cell:[0,2,3,4,6,9,10,13,14,15,23],center:[0,1,6,7,8,9,11,14,20,23],centr:[],central:[0,3,5,6,8,16,18,23,24],centroid:[14,20],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,20,23,24],cg:13,cha:[0,24],chain:[0,1,13,17,20,23],chanc:[1,5,13,20],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,18,20,23,24],channel:3,chapter3:0,chapter:[0,6,10,11,18,22,23,24],charact:[0,3,5,8,23,24],character:[8,9,10,12,20],characterist:[0,1,3,10,13,23],charg:[0,23],charl:[0,24],chase:4,chat:23,chd:7,chddata:7,cheap:[5,24],cheaper:[1,13],check:[0,1,3,4,5,6,11,13,18,23,24],checkmark:3,checkpoint:[3,4,14],checkpoint_dir:4,checkpoint_prefix:4,chemic:[],chen:10,chiaramont:2,choic:[0,1,2,3,4,6,9,12,13,14,18,23,24],choleski:[5,18,24],choos:[2,3,6,9,10,11,13,14],chosen:[0,1,2,6,8,9,10,13,16,20,23],chosen_datapoint:1,christian:22,christoph:[19,22,23],cifar10:3,cifar:3,cin:[],circ:[1,12],circl:[0,8,12,24],circuit:3,circumfer:9,circumv:[1,5,13,24],ckpt:4,clariti:20,class_nam:[3,9],class_val:9,class_valu:9,class_weight:[],classic:[7,9,13],classif:[0,3,5,6,7,8,11,12,17,22,23,24],classifi:[0,1,4,7,9,10,11,23],classificaton:1,classifii:10,clean:1,clear:[1,5,10,12,13],clearli:[0,3,5,6,7,8,20,24],clever:[1,10],clf3:0,clf:[0,6,8,9,10,23,24],clf_lasso:6,clf_ridg:[6,23],clip:[3,20],clone:21,close:[0,1,2,4,6,8,9,11,12,13,14,20,22,23],closer:[3,5,13,24],closest:[8,11,13,14],closur:[17,23],cloud:[17,23],cluster:[0,1,4,6,11,17,23],cluster_label:14,cm:[1,2,3,6,8,9,13],cmap:[0,1,2,3,4,6,8,9,10,23],cmap_arg:6,cmath:[],cmb:19,cmd:9,cmu:24,cn_:20,cnn:12,cnn_kera:3,cntk:[17,23],co:[0,2,3,6,9,13,23],code:[3,4,6,7,8,15,16,17,18,20,22],coef0:8,coef:[0,23],coef_:[0,5,6,8,9,13,23,24],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,18,23,24],coerc:[0,6,23],coin:[10,20],coin_toss:10,col:[0,11,23,24],colab:[17,23],cold:9,colinear:[0,24],collaps:8,collect:[0,2,6,10,11,17,20,22,23],collinear:[5,24],color:[0,3,4,6,8,9,10,20],color_channel:3,color_cod:6,colorbar:[1,6],colsample_bytre:10,colsaobject:10,colspec:[0,23],column:[0,1,2,5,6,7,8,9,11,12,18,23,24],columntransform:9,com:[3,4,6,14,17,22,23],combin:[1,2,5,6,7,10,20],come:[0,1,3,4,5,12,13,14,15,23,24],command:[0,1,23],comment:[0,4,5,6,15,16,23,24],commerci:[0,15,17,23],commod:[0,23],common:[0,1,3,5,6,7,9,11,13,14,20,23,24],commonli:[0,1,4,6,7,9,13,14,24],commun:[0,12],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,23,24],compair:0,compar:[0,3,4,5,6,11,13,15,16,18,23,24],comparison:[2,4,13],compat:[3,4,7,14],compet:[0,23],competit:10,compil:[0,1,3,4,13,15,17,18,23],complet:[0,2,3,4,9,12,23],completenn:12,complex:[1,5,8,9,11,12,13,15,16,23],complic:[0,1,9,13,23],compoment:24,compon:[0,1,3,4,5,6,7,9,14,16,17,23,24],components_:11,compos:[9,12,13,14,17,23],compphys:[0,6,17,19,21,22,23,24],compress:[0,23,24],compris:6,compromis:[5,24],compulsori:[17,23],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,23,24],computation:[0,3,6,9,13,20,23],computationalscienceuio:23,con:[],concat:23,concaten:[2,4,6,14],concav:[1,9,13,24],concentr:[0,10,24],concept:[0,2,17,23,24],conceptu:[12,13],concern:[0,1,4,7,23],concic:23,conclud:[0,5,13],conclus:1,cond:[2,3,4,14],conda:[0,1,15,17,23],condis:24,condit:[0,2,4,5,6,8,9,11,13,20,23,24],conduct:[17,23],condwav:2,coneqp:[],confid:[0,5,6,7,8,23,24],config:[3,4,14],config_pb2:[],configur:3,confirm:[5,12],confus:[5,6,7,10,18,24],confusion_matrix:9,congruenti:20,conjug:[4,8],conjugaci:13,conjunct:3,connect:[0,1,3,4,9,11,12,13,18,23,24],consequ:[5,6,8,10,12,13,24],conserv:[5,14,24],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,18,20,23,24],consider:[0,1,5,13,23,24],consist:[0,1,2,3,4,6,12,13,20,24],constant:[0,2,3,4,5,6,8,12,13,14,20,23,24],constitu:[0,23],constitut:[2,6],constrain:[1,3,5,7,11],constraint:[5,6,8,13,24],construct:[0,1,2,3,5,6,7,8,9,10,11,18,20,23,24],contact:[0,23],contain:[0,2,3,4,5,6,7,8,9,11,12,13,14,18,20,22,23,24],contemporari:23,content:[1,17,18,23],context:[6,10,13],contigu:18,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,18,20,23,24],contour:[9,10,13],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,20,23,24],contributor:[0,23],control:[0,1,3,9,13,15,17,23],control_flow:[3,4,14],conv2d:[3,4],conv2dtranspos:4,conv:[3,4],conv_general_dilated_patch:[3,4,14],convei:23,conveni:[0,5,6,12,13,18,23],convent:[12,24],converg:[1,2,4,5,6,7,8,11,13,14,24],convergencewarn:[1,6,7,8,11],convert:[0,1,3,4,5,9,11,13,14,18,23,24],convert_phas:[3,4,14],converter_error_data_pb2:[3,4,14],converttomatrix:4,convex:[4,5,7,24],convinc:13,convolut:[1,4,17,23],cool:[4,9],coolwarm:6,coordin:[5,12,14,24],coorel:[0,24],copi:[0,1,2,14,24],copyright:[3,4,14],core:[2,3,4,10,13,14,23],corel:23,coronari:7,corr:[0,5,7,11,24],correalt:[11,17],correct:[0,1,2,3,4,5,7,13,18,20,23,24],correctli:[1,2,6,7,10],correl:[0,1,3,5,6,7,10,12,13,17,20,23],correlation_matrix:[0,5,7,11,24],correspond:[0,3,5,6,8,9,11,12,15,16,17,18,20,23,24],cortex:12,cosin:[3,6],cost:[0,2,3,5,6,7,8,9,12,13,16,23],cost_deep_grad:2,cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_grad:2,cost_sum:2,costol:13,could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],coulomb:[0,23],count:[0,9,19,20,21,23],countor:13,coupl:[4,5,6],cours:[0,1,3,5,11,19,21,24],courvil:[19,22,23,24],cout:[],cov:[5,6,11,18,20,23,24],cov_xi:[5,11,24],cov_xx:[5,11,24],cov_yi:[5,11,24],covari:[0,7,17,18,23],covariance_matrix:[5,11,14,24],cover:[0,5,17,21,22,24],covert:[0,23],covxi:20,covxx:20,covxz:20,covyi:20,covyz:20,covzz:20,cpj4mh7m9no:[],cpu:[1,3,4,14],cpu_feature_guard:[],craft:3,crawford:23,creat:[1,2,3,4,5,6,9,10,11,12,13,17,23],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,24],credit:[0,7,21,23],crim:[0,24],crime:[0,24],criteria:[0,4,9,10,14,20,23],criterion:[9,10,13],critic:[6,23,24],cross:[0,1,3,7,9,10,13,17,20,23,24],cross_entropi:4,cross_val_scor:6,cross_valid:[7,10],crossvalid:6,crucial:[1,20],cs231:3,cs:[19,21],csr_matrix:[18,23],cstdlib:[],csv:[0,4,6,7,9,23],ctnk:1,ctx:[],cubic:0,cumbersom:5,cumsum:[10,11,23],cumul:[7,10,20],cumulative_heads_ratio:10,cup:5,current:[1,2,3,4,6,13,14,22],curs:[0,24],curv:[6,7,10,12],curvatur:13,custom:[6,14],custom_cmap2:[9,10],custom_cmap:[9,10],cutpoint:9,cv:[6,7,10],cvxbook:13,cvxopt:[5,8,24],cyber:[],cycl:[1,3,4,12,14],cyclotron:24,d1:[],d2:[],d2_g_t:2,d3:[],d670a873ab0c:[],d985fb40c43d:[],d:[1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,21,23,24],d_f:13,d_g_t:2,d_net_out:2,da:3,dagger:[5,18,24],dai:[1,9,17],dalen:[],damp:3,daniel:[21,23],darget:9,darkr:20,dat:[0,23],dat_id:[0,6,7,9,23,24],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,18,22],data_handl:[],data_id:[0,6,7,9,23,24],data_indic:1,data_modul:24,data_panda:23,data_path:[0,6,7,9,23,24],data_url:24,databas:1,databookuw:[],datafil:[0,6,7,9,23,24],datafram:[0,4,5,7,9,11,23,24],datapoint:[1,5,6,7,11,13,24],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,23,24],datatyp:4,date:[15,16,23,24],daughter:10,david:22,dbh:1,dbo:1,dcomposit:18,ddot:2,dead:1,deadlin:[16,19],deal:[0,1,3,5,6,8,11,13,14,18,20,23,24],dealt:0,debt:7,debug:[0,5,6],decad:[0,3,23],decai:[0,13,20,23],decemb:[19,21,23],decent:10,decid:[0,2,3,5,6,9],decim:[0,23],decis:[0,1,8,11,17,22,23],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],declar:[0,4,18,23],decompos:[5,6,18,24],decomposit:[0,6,12,23],decompost:[5,24],deconvolut:3,decor:[0,23],decorrel:[10,13],decreas:[1,2,4,5,6,10,11,13],deduc:[0,23],deep:[3,7,12,13,17,19,22,23,24],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepen:[5,17,23],deeper:[0,3,4,23],deeplearningbook:22,deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,20,23,24],def_covari:20,def_funct:[],default_tim:4,defect:[5,24],defici:[5,24],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,24],definit:[1,2,5,6,7,8,10,11,12,13,18,20,24],defint:20,defun:[],defvjp:2,degre:[3,5,6,8,9,10,11,15,16,20,23],del:1,delet:6,delimit:4,deliv:[19,23],delta:[0,2,3,6,8,12,13,14,23],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,18],delta_h:[0,1,23],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_momentum:13,delta_n:[0,3,23],delug:17,delv:[0,23],demand:13,demonstr:[0,3,5,6,7,11,12,17,23,24],den:4,denomin:[1,5],denot:[1,2,6,7,13,20],dens:[1,3,4],dense_1:[],densiti:[0,2,6,20,23],depart:[21,23,24],depend:[0,1,2,4,5,6,7,8,11,12,13,15,17,18,20,23,24],depict:20,deploy:[0,15,17,23],deprec:[2,6,13,23,24],deprecate_nonkeyword_argu:[0,23],depth:[0,3,9,10,18],deriv:[0,1,2,6,7,8,10,11,13,16,17,23],derivati:13,derivative_fn:13,descend:[5,9,11,24],descent:[0,1,3,7,8,12,23,24],descr:24,describ:[0,2,4,5,6,8,10,11,12,13,18,23],descript:[0,8,9,23],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,23],designmatrix:[0,23],desir:[0,2,4,5,13,14,23,24],despit:[1,12],destroi:18,det:[5,18,24],detail:[0,6,11,13,14,18,24],detect:[3,8,12],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,18,20,23,24],determinist:[7,13,20],dev:1,develop:[0,3,5,8,10,11,12,17,18,23,24],deviat:[0,1,2,4,5,6,20,23,24],device_nam:[],devicearrai:[3,4,14],devis:12,df1:23,df:[4,8,11,13,23],di:[0,24],diag:[5,8,24],diagnost:[1,10],diagon:[0,5,7,13,18,20,23,24],diagonaliz:[5,24],diagram:10,diagsvd:6,dice:[6,20],dict:[6,8],dict_kei:24,dictionari:[0,24],did:[0,1,5,6,7,10,11,14,23],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,20,22,23,24],differenti:[0,3,16,17,18,23,24],differential_oper:[2,13],difficult:[0,1,6,10,13,20,23],difficulti:[0,1,13,23],diffonedim:2,digit:[0,1,3,4,6,19,21,23],dilemma:13,dilut:1,dim:[4,11,14,18],dimens:[0,1,2,3,4,5,8,9,11,14,16,18,23,24],dimension:[0,4,5,6,9,11,13,14,17,18,23],dimensionless:[0,3,23],diment:18,dimnsion:4,diod:3,direct:[0,1,2,4,11,12,13,14,23,24],directli:[1,4,5,6,20,24],directori:9,disabl:[3,4,14],disadvantag:[0,23],disappear:[3,6],disc_loss:4,disc_tap:4,discard:[6,11],disciplin:[0,3,12,23],disclaim:20,discord:23,discourag:[13,24],discov:[0,23],discover:5,discret:[1,3,5,7,13],discrimin:[4,7,10,11],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],diseas:7,disguis:[6,24],disord:[1,7],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,20,23,24],displaystyl:[0,5,23,24],displot:24,disregard:[0,23],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,20,24],distance_list:9,distinct:[3,7,8,9,10,14],distinctli:8,distinguish:[0,4,7,8,20,23],distplot:[0,24],distribut:[0,1,4,6,7,10,11,13,14,15,16,17,18,23,24],distrubut:[0,15,17,23],div:[],dive:[0,8,18,23],diverg:[1,13],divid:[0,1,2,3,5,6,7,8,9,11,12,20,23,24],divis:[6,8,9,13,18,20],dna:7,dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,23],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,23],doc:[0,6,17,19,21,22,23,24],document:[4,7,11,13,24],doe:[0,1,2,3,4,5,6,8,10,11,12,13,16,18,20,23],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13],domin:[0,23],don:[0,1,3,5,6,8,11,13,15,17,23,24],done:[0,2,3,4,5,6,9,10,11,13,18,23,24],dot:[0,2,3,5,6,7,8,9,10,11,12,13,18,20,23,24],doubl:[3,4,18,23],doubli:1,down:[0,3,6,9,11,12,13,23],download:[0,1,3,5,6,18,22,23],downsampl:3,dozen:1,dq:6,drag:13,dramat:11,drastic:4,draw:[4,6,10,13],drawback:[0,1,3,13,24],drawn:[1,4,6,7,11,20,23],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,20,23,24],dropna:[0,6,23],dropout:4,ds:[],dt:[2,3,13,20],dtype:[0,1,2,3,4,14,18,23,24],dualiti:6,dub:[0,23],due:[1,2,5,6,8,10,12,13,21,23,24],dummi:[0,24],dure:[0,1,3,4,8,9,11,17,23],dwell:[0,24],dwh:1,dwo:1,dx:[2,3,8,20],dx_1:20,dx_1p:6,dx_2p:6,dx_mp:6,dx_n:20,dxp:6,dy:[1,8,20],dynam:4,dysth:[],dz:8,e7cu:[],e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,21,23,24],e_:[0,2,23],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,23,24],eager:[],eapprox:[0,23],earli:[1,13],earlier:[0,5,7,8,9,11,12,13,23,24],earthexplor:6,eas:[6,9,14],easi:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],easier:[5,6,8,9,13,20,23,24],easiest:13,easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,24],eastern:[21,23],ebind:[0,23],eblock:9,econometr:23,economi:5,ecosystem:[17,23],ect:19,edg:3,edgecolor:6,edu:[13,24],educ:[0,23,24],eface79dac2c:[],eff:20,effect:[1,4,10,13,20],effic:1,effici:[0,3,10,13,17,18,20,23],efron:6,egrad:13,eig:[5,11,13,18,20,23,24],eigen:20,eigenpair:[5,11,24],eigenvalu:[0,5,8,11,13,18,23,24],eigenvector:[5,11,13,24],eight:[18,23],eigval:[18,20,23],eigvalu:[11,13],eigvec:[18,20,23],eigvector:[11,13],eispack:[18,23],either:[1,5,6,7,8,9,10,11,13,15,16,20,23,24],ekstrom:[],elabor:20,elarn:3,electr:[0,3,12,23],electron:23,electur:[],eleg:11,element:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,22,24],elementari:[10,13,18],elementwis:[3,13],elementwise_grad:[2,13],elessar:23,elif:[2,14],elim:18,elimin:[3,8],els:[1,2,3,4,7,9,12,13,18],elu:1,elus:[0,23],email:[19,21,23],embed:[0,11,24],embodi:6,emit:20,emner:22,emphas:[0,10,17,23],emphasi:[0,17,22,23],empir:[1,11,20],emploi:[0,1,5,6,11,13,20,23,24],employ:[0,23,24],empti:[6,10],emul:12,en:[17,22],enabl:11,enable_check:[3,4,14],enbodi:6,encapsul:[3,4,14],encod:[0,3,5,9,11,14,23,24],encompass:[0,20,23],encount:[0,1,5,6,7,13,20,23,24],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,21,23,24],end_box:[2,13],end_nod:[2,13],end_valu:[2,13],endl:[],endpoint:[3,6],energi:[0,4,6,24],enet_coordinate_desc:6,enforc:12,eng:22,engin:[0,1,3,4,17,23],english:[],enorm:3,enough:[0,6,13,23],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,20,24],ensure_initi:[],entail:23,enter:[5,6,24],enthought:[0,15,17,23],entir:[1,3,7,9,17,20,23],entiti:[9,12,18,23],entri:[0,5,8,11,12,18,23,24],entropi:[1,3,7,10,13,23],enumer:[0,1,2,3,4,6,8,23,24],env:[0,1,2,3,4,6,7,8,11,13,14,20,23,24],environ:[2,17],eo:[0,6,23],eol:[0,23],eosfit:[0,23],epoch:[0,1,3,4,12,13,23],epsilon:[0,5,6,7,13,23,24],epsilon_0:[0,23],epsilon_1:[0,23],epsilon_2:[0,23],epsilon_:[0,23],epsilon_i:[0,23,24],eq:[3,13,14,18,20],eqnarrai:[3,5,6],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,18,20,23,24],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,18,20],equilibrium:[2,12],equiv:[3,13,18,20],equival:[0,1,5,7,8,11,13,17,18,23,24],erf:20,eriador:23,eridg:23,err:[0,10],err_:6,err_sqr:2,errat:13,errno:9,erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,20],error_estimate_corr_tim:20,error_handl:[],error_hidden:1,error_output:1,escap:13,especi:[1,3,9,12,13],essenti:[0,5,6,9,10,12,14,20,24],establish:[0,6,10,11,15,23],estim:[0,1,5,6,7,10,11,13,17,20,23,24],estimated_mse_fold:6,estimated_mse_kfold:6,estimated_mse_sklearn:6,et:[0,2,4,15,16,22,23,24],eta0:[8,13],eta:[0,1,3,8,12,13,23],eta_:13,eta_t:13,eta_v:[0,1,3,23],etc:[0,1,3,5,7,8,9,11,12,13,14,15,17,18,20,24],ethic:[17,23,24],etsim:[],euclidean:[0,14,24],evalu:[0,2,3,4,5,6,9,13,20,23,24],evalut:13,even:[0,1,3,4,5,6,8,9,10,11,12,13,14,17,18,20,23,24],evenli:4,event:[3,4,5,7,10,14,20],eventu:[0,5,6,11,12,13,21,24],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,17,20,21,23,24],everyth:[4,12],everywher:[4,13],evolv:[0,23],exact:[0,2,5,11,12,13,18,20,23,24],exactli:[0,3,4,6,12,17,24],exam:23,examin:6,exampl:[5,11,12,13,15,16,17,18,20,22],exce:[1,12,13],excel:[0,1,4,5,10,23,24],except:[2,3,4,6,8,9,14,18],excess:[0,23],excit:[0,23],exclud:[1,6,12,24],exclus:[0,1,3,6,20,23],execut:[2,5,13,24],executing_eagerli:[],exemplifi:13,exercic:[21,23],exercis:[5,17,19,21],exhaust:6,exhibit:[0,5,6,8,23,24],exist:[0,1,2,3,5,6,7,8,9,13,18,23,24],exit:[5,18,24],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,20,23,24],exp_term:1,expand:[5,7,11,13,24],expans:[0,3,5,8,10,12,13,23,24],expect:[0,1,5,6,7,11,12,13,15,16,17,23,24],expectation_value_of_h_wrt_p:20,expens:[6,10,13],experi:[0,1,6,8,13,17,23,24],experiment:[0,3,4,6,9,14,20,23],experimental_get_tracing_count:[],expert:[1,9],explain:[0,6,9,10,11,13,23],explained_variance_ratio_:11,explanatori:[0,23],explicit:[0,3,6,13,18,23,24],explicitli:[0,4,23],explod:1,exploit:[0,3,12,13,23],explor:[1,4,6,8,13,17],expon:1,exponenti:[0,1,5,6,10,13,20,23],export_graphviz:9,export_text:9,exporttext:9,expos:[17,23],express:[0,2,3,5,6,7,10,12,13,16,18,20],exptmean:20,exptvari:20,extend:[0,2,7,11,13,17,23],extens:[0,12,15,17,23],extent:[0,1,6,22,23],extern:[3,6,9],extra:[1,3,5,21,23,24],extract:[0,3,5,6,7,8,11,13,18,23,24],extrapol:[0,23],extrem:[0,1,4,5,6,7,8,9,13,16,18,24],extremum:13,extrins:11,ey:[0,5,6,13,14,18,23],f11:[0,23],f12:[0,23],f13:[0,23],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,f3ckh:[],f401:[3,4,14],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,f6d7a289d493:[],f7:13,f7_grad:13,f7_grad_analyt:13,f8:13,f8_grad:13,f9:[0,13,23],f9_altern:13,f9_alternative_grad:13,f9_grad:13,f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,20,21,23,24],f_0:[3,10],f_1:[10,13],f_2:[12,13],f_3:12,f_:10,f_d:20,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:2,face:13,facecolor:[6,8,20],facil:[0,15,17,23],facilit:12,fact:[0,1,3,5,9,11,12,13,23,24],factor:[0,1,3,5,6,9,10,11,13,18,20,23,24],factori:13,fade:6,fafab0:[9,10],fahimeh:[21,23],fail:[0,6,7,8,11,13,21,23],failur:7,fairli:[1,2,20],fake:4,fake_loss:4,fake_output:4,fall:[8,9,19],fals:[0,1,2,3,4,5,6,7,9,10,14,18,23,24],famili:[0,7,8,20],familiar:[0,3,5,6,8,15,17,18,20,23],famou:[6,12],far:[0,3,4,5,6,8,11,12,13,14,23,24],fashion:[0,9,10,23],fast:[1,3,6,10,12,13,17,20,23],faster:[1,11,13],fastest:[13,18],favor:7,favorit:20,fc:3,fdf8a5d7c717:[],fdfcc778e1f8:[],fe5b9d300cc0:[],featur:[0,1,3,5,6,7,8,10,11,12,13,17,20,23],feature_nam:[0,1,7,9,24],feautur:9,fed:1,feed:[0,2,3,11,17,23],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,23],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,17,21,23],feet:[0,24],fei:23,fetch:[6,24],fetch_california_h:24,fetch_openml:24,few:[1,3,4,5,9,20,23],fewer:[0,9,11,23],ffnn:[1,12],fft2:[3,4,14],fft:[3,4,14],fft_batching_rul:[3,4,14],fft_p:[3,4,14],fftfreq:[3,4,14],fftn:[3,4,14],fftshift:[3,4,14],fgakzw6k1qq:[],field:[0,3,6,12,17,23],fifth:[0,6,15,16,23],fig:[0,1,2,3,4,6,7,12,13,14,23],fig_id:[0,6,7,9,23,24],figaxi:20,figsiz:[0,1,2,3,4,6,7,8,9,10,23,24],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,23,24],figure_id:[0,6,7,9,23,24],figurefil:[0,6,7,9,23,24],file:[0,2,3,4,5,6,7,9,13,14,23,24],file_prefix:4,filenam:[23,24],filenotfounderror:9,fileout:[],filepath_or_buff:[0,23],fill:[5,9,24],filter:[3,4],filtered_flat_arg:[],filtered_tb:[],financ:[0,23],find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,20,23,24],find_top_boxed_arg:[],fine:[0,14,15,23],finish:2,finit:[3,5,6,12,13,20,24],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,22],firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,20,24],fit_beta:[6,24],fit_intercept:[0,5,6,24],fit_mod:9,fit_transform:[0,6,8,9,11],fiti:[0,23],five:[0,9,23,24],fix:[0,3,4,6,10,11,12,13,23],fixedformatt:6,fixedloc:6,fkkt:[],flag:4,flake8:[3,4,14],flat:[12,13],flatbuff:[],flatten:[1,3,4,5,18],flexibl:[1,6,8,10,12,23,24],flip:[21,23],float32:[4,9],float64:[4,18,23,24],flop:[5,18,24],flow:[1,4,12],fluctuat:5,fly:11,flyvbjerg:[],fm:[0,23],fma:[],fmax:3,fmesh:13,fn:7,focu:[0,3,4,5,6,15,17,22,23,24],focus:[1,6,7,18,24],fold:[6,9],folder:[0,1,4,6,13,23],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],font:[0,7,20,23],fontdict:20,fontsiz:[1,6,8,9,10,20],fontweight:1,footprint:3,foral:[8,24],forc:[0,5,6,10,11,23,24],forcast:4,forecast:[4,12],forelesningsvideo:[],forest:[0,1,9,17,23],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,18,20,23,24],formal:[3,4,14,20],format:[0,1,2,3,4,6,7,8,9,10,11,17,20,22,24],format_data:4,formatstrformatt:[6,13],formul:[4,6,11,14],formula:[3,13,20],forth:[4,12],fortran2003:[17,23],fortran90:20,fortran:[0,15,17,18,23],fortun:[0,11,24],forward:[0,3,6,17,18,23],forward_backward:[],forward_compatibility_horizon:[3,4,14],found:[1,2,4,5,6,12,13,23,24],foundat:[17,23],four:[4,5,6,8,12,18,19,21,23],fourier:[0,23],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,23,24],fp:7,fr:[],frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],fractal:9,fraction:9,frame:[7,23],framework:[1,8,10,20],frank:[5,11],frankefunct:[5,6,11,24],fredli:[21,23],free:[0,6,11,13,15,16,17,18,20,21,22,23],freecodecamp:17,freedom:5,freeli:[0,23],frequenc:[3,6,7,20],frequent:[0,8,9,13,23],frequentist:17,fresh:10,frida:[],fridai:[16,21,23],friedman:[6,19,22,23,24],friendli:4,frodo:23,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,20,21,22,23],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,23,24],fstream:[],fulfil:[2,5,12,24],full:[0,1,3,5,7,9,10,13,20,23,24],full_matric:[5,24],fulli:[3,6,12,19,20],fun:[2,13,17,23],fun_nam:2,func:[0,2,23,24],functionali:11,functool:[3,4,14],fundament:[0,6,17,23],funtion:2,further:[2,7,9,23],furthermor:[0,3,5,6,7,11,12,13,17,23,24],futur:[0,4,8,9,23,24],futurewarn:[0,23,24],fx:[],fy:[15,19,21,22,23],fys5419:[22,23],fys5429:[22,23],g0:2,g42mrgv128v34gnnhxwk9nrc0000gp:[],g:[0,1,2,3,4,6,8,9,10,11,13,14,20,23],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_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,24],galleri:[0,23],game:4,gamge:23,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,23],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,23],gamma_i:[0,8,20,23],gamma_j:13,gamma_k:13,gamma_m:10,gamma_x:[0,23],gap:[6,8],gate:[4,12],gather:[0,1,12,24],gaug:12,gaussbacksub:18,gaussian:[4,5,6,8,14,20],gaussian_point:14,gaussian_rbf:8,gave:13,gbc:[19,23],gca:[2,6,8,13],gd:1,gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:13,gdregress:10,ge:[1,5,7,20,24],gemv:[],gen:[],gen_loss:4,gen_tap:4,gender:[0,23],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,18,20,22,24],generallay:12,generate_and_save_imag:4,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,genexpr:[],genom:17,geodes:11,geometr:[0,13,23],geometri:5,georg:22,geotif:6,geq:[2,5,8,9,13,24],geron:[0,15,19,22,23],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,17,18,20,21,23,24],get_dummi:9,get_loc:[],get_next_color:[],get_paramet:2,get_split:9,get_yaxi:8,get_yticklabel:6,getattr:2,getsolutionslic:[],getval:[],gg:[],gibb:[17,23],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,17,23],giter:13,github:[0,3,4,6,14,15,17,19,21,22,23,24],gitlab:[0,15,17,23],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,20,23,24],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],global:[6,7,13],glorot:1,gmail:[],gnew:13,go:[0,1,3,5,6,8,9,11,12,13,23,24],goal:[0,7,9,23],goe:[0,1,2,5,6,13,14,18,23,24],golden:13,gone:[5,24],gong:1,good:[1,3,4,5,6,9,10,11,13,17,20,22,24],goodfellow:[4,19,22,23,24],googl:[1,3,4,14,17,23],got:[1,6],gov:6,gp:22,gpu:[1,13,17,23],grad:[2,13],grad_analyt:13,grade:19,gradient:[0,3,4,7,8,9,12,17,23,24],gradient_desc:[],gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradienttap:4,gradual:[1,14],grai:[4,6],graph:[1,9,11,12,13],graph_debug_info_pb2:[],graph_from_dot_data:9,graph_funct:[],graphic:[0,1,9,23],grasp:[0,23],gray_r:[1,3],grayscal:3,great:[5,13],greater:[1,7,20],greatli:13,greedi:9,green:[0,3,9,20],grei:4,grid:[1,3,6,7,8,12,20,24],grossli:13,ground:[0,23],group:[0,6,7,9,14,17,19,21,23],groupbi:[0,23],grow:[1,3,9,10],growth:[0,23],gru:4,guarante:[0,4,13,20,23,24],guess:[1,4,10,13,14],guestrin:10,guid:1,guilherm:[],h1:2,h21:[],h:[0,1,5,6,8,13,16,20,21,22,23,24],h_1:[2,13],h_2:[2,13],h_:[0,13,23],h_m:10,ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],haa:[21,23],habit:[0,24],had:[0,1,6,7,13,23],hadamard:[1,12,13],half:[1,8,9],halv:10,hand:[0,1,2,3,5,11,12,13,15,17,18,19,20,21,22,23,24],handi:3,handl:[0,1,2,5,9,11,17],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5,23],handwrittennot:23,happen:[1,2,3,4,5,6,10,13,20,24],hard:[1,7,8,10,13],hardcopi:[17,23],harder:[0,1,24],harmon:3,hasn:1,hassl:[0,15,17,23],hast:[17,23],hasti:[0,6,15,16,19,22,23,24],hat:[0,1,5,6,7,9,10,11,12,13,18,24],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,24],haven:1,hdtta7prrfi:[],he:7,head:[0,4,10,20,24],header:[0,23,24],heads_proba:10,health:[0,24],hear:[0,13,23],heart:[0,7,23],heatmap:[0,1,3,7,23,24],heavili:[0,23],heavisid:1,height:[1,3,6,24],held:13,help:[0,1,4,12,13,16,23],helper:[4,14],henc:[0,5,6,8,9,10,12,13,23,24],henrik:[21,23],her:7,here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],hereaft:[0,8,12,23],hermitian:18,hessenberg:18,hessian:[0,2,5,13,16],heterogen:[9,10],hfft:[3,4,14],hi:7,hidden:[1,3,4,12],hidden_bia:1,hidden_bias_gradi:1,hidden_layer_s:[0,1,23],hidden_neuron:4,hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,24],high:[0,1,2,3,4,5,6,9,10,11,13,14,17,18,23,24],higher:[0,1,3,5,6,8,13,23,24],highest:[1,2],highli:[0,3,4,10,17,18,22,23,24],highwai:[0,24],hing:8,hint:[13,16,24],hip:17,hire:[0,23],hist:[4,6,7,20],histogram:[0,6,7,20,24],histor:[7,11],histori:[3,4,12],histplot:24,hit:[],hitherto:5,hjorth:[21,23,24],hm6ay5ds6o0:[],hobbi:20,hoc:[5,24],hoff:22,hold:[1,3,6,13,14],holder:[0,23],holomorphic_grad:[2,13],home:[0,24],homepag:23,homework:[6,13],homogen:[1,3,9,10,13],honchar:2,hopefulli:[0,11,20,23],horizont:11,hors:[3,7],hot:[1,9],hour:[1,17,19,20,21,23],house_pric:24,how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],hs:[],hspace:[0,4,8,10,20,23],hstack:[1,24],htf:[19,23],html:[0,7,11,17,19,21,22,23,24],http:[0,3,4,6,7,11,13,14,17,18,19,21,22,23,24],huang:[0,23],huber:[0,23],huge:[1,3,4,17],human:[0,1,3,6,9,12,23,24],humid:9,hundr:1,hungri:1,hybrid:19,hydrogen:[0,23],hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,23,24],hyperplan:11,i0:[0,23],i1:[0,6,8,12,23,24],i2:[0,8,12,23],i3:[0,12,23],i5:[0,23],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],i_1:[5,6],i_2:[5,6],i_:13,ian:22,ic:1,id:[7,13],ida:[21,23],idea:[0,1,2,3,4,6,9,10,12,13,18,23,24],ideal:[0,2,6,8,13,20,23,24],idem:6,ident:[5,6,12,13,18,24],identical:[],identifi:[0,1,7,9,11,12,13,14,23,24],idum:[],ieor:20,ifft2:[3,4,14],ifft:[3,4,14],ifftn:[3,4,14],ifftshift:[3,4,14],ifi:22,ifs:[17,23],ignor:[0,1,3,9,24],ihfft:[3,4,14],ii:[18,20],iii:[18,23],ij:[0,1,3,6,8,12,14,16,18,20,23,24],ik:[0,18,23,24],illustr:[5,7,10,12,13,14,17,23],im:6,imag:[1,3,4,6,9,11,12,14,22,23],image_at_epoch_:4,image_batch:4,image_height:3,image_path:[0,6,7,9,23,24],image_width:3,imageio:6,imagenet:23,images_from_seed_imag:4,imagin:1,immedi:[0,3,4,6,15,17,23],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,20,23,24],impli:[3,5,6,7,13,18,24],implicit:3,implicitli:[11,20],importantli:3,importerror:[3,4,14],impos:[0,6,11,12,23],imposs:[0,5,23,24],impress:[0,12,23],improv:[0,4,5,9,10,11,13,24],impur:9,imread:6,imshow:[1,3,4,6],in1:2,in2:2,in3050:[22,23],in3310:23,in4080:[22,23],in4300:[22,23],in4310:22,in5400:3,in5550:22,in_out_neuron:4,inaccur:13,inacio:[],inact:12,inadequ:[0,23],inch:[6,24],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,20,21,22,23,24],include_bia:[6,9],incom:12,incorrect:1,incoveni:8,increas:[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],increasingli:20,ind:6,inde:[0,2,4,5,6,13,23,24],indefinit:4,indent:[],indentationerror:[],independ:[0,5,6,7,8,12,13,20,23,24],index:[0,1,3,4,10,14,17,18,20,22,23,24],index_col:[0,23],index_of:[],indic:[0,1,3,4,5,6,9,10,11,13,16,23,24],indispens:6,individu:[1,6,7,10,12,20,23,24],indu:[0,24],indx1:2,indx2:2,indx3:2,indx:18,ineffici:[3,13],inequ:[8,13],inequaltii:[],inertia:13,inf1000:[17,23],inf1100:[17,23],inf1100l:[17,23],inf1110:[17,23],inf3000:23,inf4490:[],inf5860:[],infeas:9,infer:[0,1,4,6,22,23],infer_nrow:[0,23],inferenc:1,infil:[0,6,7,9,23],infin:[5,6,7,11,24],infinit:3,infinitesim:20,influenc:[6,10],influenti:1,info:23,inform:[0,1,3,4,6,9,11,12,13,14,18,22,23],infti:[3,6,13,20],ingeni:13,ingrad:2,ingredi:[0,9,23],inher:6,inherit:[18,23],initi:[0,1,2,3,4,6,10,13,14,18,20,23],initial_epoch:[],initialis:[],initialize_root:[],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],inner:[0,13,24],innov:[],inp:4,inplac:13,input:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,20,23,24],input_dim:1,input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,24],insert:[3,5,6,8,10,20,24],insid:[0,4,7,24],insight:[0,1,5,17,23,24],insist:[6,13,24],inspir:[0,1,12,23],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,23,24],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,18,20,23,24],institut:1,instruct:[0,1,15,16,23],int32:10,int64:24,int64index:23,int_0:20,int_:[3,6,20],int_a:20,intak:[0,24],integ:[1,2,13,14,18,20,23],integer_vector:1,integr:[3,6,20,23],intellectu:23,intellig:[0,14,22,23],intend:[10,23],intens:1,intention:14,interact:[0,6,9,12,17,23],intercept:[0,6,8,11,13,16,23],intercept_:[0,6,8,9,13,23,24],interchang:[5,12,18],interconnect:1,interest:[0,1,2,3,4,5,6,7,8,9,12,17,20,23,24],interfac:[0,1,18,24],interior:[0,9,23],intermedi:[18,24],intern:[1,10,12],interpol:[1,3,4,6,12],interpr:[5,24],interpret:[0,1,3,4,6,9,10,12,13,14,18,20],interv:[0,3,5,6,7,13,20,23,24],intial:13,intract:[0,4,24],intrins:[3,11,18,20,23],intro:[17,22,23],introduc:[0,1,5,6,8,10,12,18,20,23],introduct:[1,2,4,13,22,24],introductori:[0,4,18,22,23,24],intuit:[0,5,6,8,12,13,23],inv:[0,5,13,23,24],invalid:[1,8],invalu:[0,13,15,17,23],invari:1,invd:5,inver:8,invers:[0,3,6,13,15,16,23,24],invers_period:[],inverse_transform:8,invert:[0,5,7,10,13,23],invh:13,invok:[0,8,24],involv:[0,2,6,7,11,12,24],io:[0,17,19,21,22,23,24],iomanip:[],iostream:[],ip:[0,8,20,23],ipca:11,ipykernel_20528:1,ipykernel_20614:6,ipykernel_20669:13,ipykernel_20702:23,ipykernel_41811:[],ipykernel_42331:[],ipykernel_42376:[],ipykernel_42449:[],ipykernel_42456:[],ipykernel_42530:[],ipykernel_42541:[],ipykernel_42553:[],ipykernel_42573:[],ipykernel_42580:[],ipykernel_42586:[],ipykernel_47411:[],ipykernel_47448:[],ipykernel_47647:[],ipykernel_47724:[],ipykernel_47735:[],ipykernel_65914:[],ipykernel_9414:[],ipykernel_94478:[],ipykernel_94529:[],ipykernel_94582:[],ipykernel_96694:[],ipynb:[17,23],ipython:[0,5,7,9,11,14,15,17,23,24],iq:6,irfft2:[3,4,14],irfft:[3,4,14],irfftn:[3,4,14],iri:[8,9],irreduc:6,irrelev:[5,24],irrespect:[0,23],is_integ:[],isbox:[2,13],iscomplexobj:[],isinst:[],isn:5,isnul:[0,24],isomap:11,isotop:23,issu:[1,3,4,9,14,18,24],it_arrai:13,item:[0,13,23],items:[18,23],iter:[1,2,4,6,7,8,11,13,14,20],itr:[],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23],itself:[5,6,12,20,24],ix:[],j1:18,j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,18,20,22,23,24],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknavg:[],jackknif:[6,17,23],jackknstd:[],jackknvar:[],jackknvec:[],jacobian:[2,13],jacobian_shap:2,jakobsen:[21,23],jargon:[],jason:4,jax:[3,4,14,17,23],jaxlib:[3,4,14],jensen:[21,23,24],jerom:22,jhfgq77fpq:[],ji:[12,18],jit:13,jj:[0,5,6,23],jk:[0,1,6,12,18,23],jl:[0,23],jm:18,jnp:[3,4,13,14],joao:[],joaogca:[],job:[2,8,10],join:[0,4,6,7,9,23,24],joint:[4,5],journal:[],judg:13,judgement:6,julia:[17,18],jump:20,junk:4,jupit:23,jupyt:[0,15,17,22,23],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,20,23,24],justif:[0,23],justifi:[3,10],jy:[],jydg2xzka5:[],k0:7,k1:7,k:[0,1,3,5,6,7,8,9,10,11,12,13,14,17,18,20,21,23,24],kaggl:6,kappa_d:20,karim:[],karl:[21,23],karlsen:[],karush:8,kate:23,katrin:[21,23],keep:[0,1,4,5,6,11,13,14,18,23,24],keepdim:[1,6,10,18],kei:[0,1,3,6,12,24],kept:[4,6,14],kera:[0,4,17,23],kernel:[0,1,3,17,23,24],kernel_regular:[1,3],kernel_s:4,kernelpca:11,kev:[0,23],kevin:[22,23],keyboardinterrupt:2,keyerror:2,keyword:[6,13,18,23],kfold:6,kg:1,ki:18,kick:[1,13],kiener:2,kilomet:[6,24],kind:[0,2,3,4,8,12,13,14,23,24],kj:[6,12,18,24],kjm:[17,23],kkt:8,kktsolver:[],kl0m3:[],kl:20,km:[12,23],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,17,23,24],knowledg:[0,17,23],known:[1,3,4,5,6,7,8,9,12,18,20,22,24],kondev:[0,23],kp:20,kpca:11,kroneck:14,kuhn:8,kutz:[],kvalsund:[21,23],kwarg:[0,2,13,23],kwd:[0,23],kwown:[0,23],l0:7,l1:[0,1,3,7,23],l1_l2:[1,3],l1regl:5,l1regls_mosek2:[],l1regls_mosek:[],l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,18,20,23,24],l_1:7,l_2:[7,13],l_:18,l_j:12,la:13,la_i:12,la_k:12,lab:[17,23],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,17,18,20,23,24],label_prob:[],labelencod:[7,10],labels:[6,8,9],labels_shuffl:[0,1,24],laboratori:[19,24],lack:[0,23],lagari:2,lagrang:[8,11],lambda:[0,1,2,3,5,6,7,8,10,12,13,20,23,24],lambda_0:11,lambda_1:[5,8,11,24],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,24],lamda:1,lamdbda:[],land:[0,8,24],landmark:8,landscap:13,langl:[0,6,11,20,23,24],languag:[0,1,4,8,15,17,18,22,23],lapack:[18,23],laplac:5,laptop:17,larg:[0,1,2,4,5,6,8,9,10,11,13,15,17,18,20,22,23,24],larger:[0,3,5,6,8,10,11,13,20,23,24],largest:[4,8,11],lasso:[0,7,17,23],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,18,20,21,23],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,6,7,8,12,13,14,15,17,23],latest:[4,17],latest_checkpoint:4,latex:23,latter:[0,3,6,7,8,11,13,16,18,20,23,24],lattic:12,law:[0,23],lax:[3,4,14],layer:[0,4,13,14,23],lbfg:[7,9,10,11],lcc:[5,6],lda:11,ldot:[0,6,11,23],le:[5,7,10,13,20,24],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,18,20,23,24],leaf:9,leaki:1,leakyrelu:4,lear:13,learn:[3,4,5,6,7,8,9,10,12,18,19,21,22],learnabl:3,learner:10,learnig:23,learning_r:[8,10],learning_rate_init:[0,1,23],learning_schedul:13,least:[0,2,7,8,10,11,15,16,17,18,20],leat:13,leav:[0,1,3,5,6,9,11,23],lectur:[0,1,5,10,11,12,13,15,17,18,19,21,22],lecturenot:[0,17,22,23],lecturenovember11:[],lecturenovember12:[],lecturenovember19:[],lecturenovember25:[],lecturenovember26:[],lecturenovember4:[],lecturenovember5:[],lectureoctober14:[],lectureoctober15:[],lectureoctober1:[],lectureoctober21:[],lectureoctober22:[],lectureoctober28:[],lectureoctober29:[],lectureoctober7:[],lectureoctober8:[],lectureseptember10:[],lectureseptember16firstpart:[],lectureseptember16secondpart:[],lectureseptember17:[],lectureseptember23:[],lectureseptember24:[],lectureseptember2:[],lectureseptember30:[],lectureseptember3:[],lectureseptember9:[],lecturethursdayaugust26:[],lecturethursdayaugust27:[],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,23,24],len:[0,1,2,3,4,5,6,8,9,10,11,12,18,23,24],len_index:[0,23],length:[0,1,2,3,4,8,9,13,16,17,23,24],length_of_sequ:4,leq:[0,5,7,8,13,14,20,23,24],less:[0,1,3,4,5,6,8,9,13,17,20,23,24],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],letter:[0,16,18,20,23,24],level:[0,1,5,6,9,17,18,19,21,23,24],li:[8,11,23],lib:[0,1,2,3,4,6,7,8,11,13,14,23,24],liblinear:[8,10],librari:[0,1,2,3,4,5,6,9,10,11,15,18,20,22,24],licens:[0,1,3,4,14,15,17,23],lie:[0,6,11,20,24],life:[0,1,8,12,23],lifetim:13,like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,20,23,24],likelihood:[0,1,5,9,23,24],lim_:20,lima:[21,23],limit:[0,5,6,7,8,11,12,18,23,24],lin_clf:8,lin_model:[0,24],lin_reg:9,linalg:[0,2,3,4,5,6,8,11,13,14,18,20,23,24],line1:8,line2:8,line2d:13,line3:8,line:[0,2,3,4,6,8,9,10,11,13,14,15,23,24],linear:[1,3,5,6,7,9,10,11,12,17,20],linear_model:[0,5,6,7,8,9,10,11,13,23,24],linear_regress:6,linear_util:[3,4,14],linearli:[5,24],linearloc:[6,13],linearregress:[0,6,7,9,23,24],linearsvc:8,liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10],link:[0,4,9,12,17,21,23],linlag:5,linpack:[18,23],linreg:[0,23],linspac:[0,2,3,4,6,8,9,10,13,15,16,18,20,23,24],linu:4,linuek:[],linux:[0,1,15,17,23],liquid:[0,23],list:[0,1,2,3,4,9,17,23,24],listcomp:2,listedcolormap:[9,10],lite:[3,4,14],lite_const:[3,4,14],literatur:[1,7,14,22],littl:[1,3,9,12],live:8,ll:[0,20,23,24],llc:[3,4,14],lle:[0,24],lloyd:[4,14],lmb:[0,2,5,6],lmbd:[0,1,3,23],lmbd_val:[0,1,3,23],lmbda:13,ln:[1,13],lo:[],load:[0,1,4,6,7,9,10,24],load_boston:[0,24],load_breast_canc:[1,7,9,10,11],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],loc:[0,3,6,7,8,9,10,23],local:[0,1,2,3,7,12,13,23,24],locat:[2,3,8],lock:[],log10:[0,2,5,6],log1p:2,log:[0,1,2,3,4,5,6,7,9,10,11,13,14,18,23,24],log_:[0,23],log_clf:10,logarithm:[0,5,7,18,23],logic:[0,1,9,23],logist:[0,1,2,8,9,10,11,12,13,17,24],logistic_predict:[],logisticregress:[7,9,10,11],logit:7,logreg:[7,9,10,11],logspac:[0,1,3,5,6,23],longer:[2,3,8,10,14,18,20,23],loocv:6,look:[0,1,2,3,4,5,6,7,8,9,10,11,13,18,20,23,24],lookup:[3,4,14],loop:[1,4,6,10,12,14,17,18,23],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,18,23],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6,24],low:[0,6,9,10,11,23,24],lower:[0,1,3,6,9,10,16,18,24],lowercas:[18,23],lowest:[9,13,20],lr:[1,3,4,10],lstat:[0,24],lstm:4,lstm_2layer:4,lstsq:[0,23,24],lt:6,lu:[0,3,4,5,14,23,24],lubksb:18,luckili:2,ludcmp:18,lux:18,lvert:1,lw:[0,23],m:[0,1,2,3,5,6,8,9,10,11,12,13,18,19,20,21,22,23,24],m_1:14,m_:[9,12],m_h:[0,23],m_k:14,m_l:12,m_n:[0,23],m_p:[0,23],m_t:13,ma:11,mac:[3,4,14],machin:[1,3,4,5,6,7,9,10,11,12,14,15,18,19,22,24],machinelearn:[0,6,17,19,21,22,23,24],machinelearningmurphi:[],mackai:22,made:[0,1,3,4,5,6,7,9,11,12,23,24],mae:[0,23],magic:4,magnitud:[1,6,7,13,24],mai:[0,1,2,3,5,6,7,8,9,11,12,13,17,18,20,24],mail:[19,21],main:[0,1,3,4,5,6,7,9,18,22,23,24],mainli:[0,5,6,7,9,23,24],maintain:[6,24],major:[1,6,9,10,13,18,23],make:[1,2,3,4,5,6,7,8,11,12,13,17,18,20,22],make_axes_locat:6,make_moon:[8,9,10],make_pipelin:[0,6,10,24],make_vjp:[2,13],makedir:[0,6,7,9,23,24],makeplot:[0,23],malcondit:18,malign:[1,7,9],mammographi:5,manag:[0,2,3,15,17,23],mandatori:[21,23],mani:[0,1,3,4,5,6,7,8,9,11,13,14,17,18,20,22,23,24],manifold:11,manner:3,manual:[6,24],map:[0,1,2,3,4,6,7,8,11,12,14,20,23],margin:[0,5,8,23],mari:[],marit:[0,23],mark:23,marker:[0,7,18,23,24],markov:[17,23],marsaglia:20,mask:[],mass:[0,1,5,13,24],massag:[0,23],masses2016:[0,23],masses2016ol:[0,23],masses2016tre:0,masseval2016:[0,23],master:[6,19,21,23],mat1100:[17,23],mat1110:[17,23],mat1120:[17,23],mat3155:[],mat4155:[],mat:[17,23],match:[0,1,4,5,13,14,23,24],materi:[4,5,7,13,18,21],math:[3,7,12,13,18,20,22,23],mathbb:[0,4,5,6,7,8,11,12,13,14,18,20,23,24],mathbf:[0,5,6,7,8,13,18,23,24],mathcal:[1,5,6,7,13],matheemat:3,mathemat:[0,6,11,12,13,17,18,20,22,23],mathemati:23,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,20,23,24],matmul:[1,2,5],matmul_adjoint_1:[],matmul_vjp_0:[],matmul_vjp_1:[],matnat:22,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],matplotlibdeprecationwarn:[6,13],matric:[0,1,3,4,6,7,8,11,13,16,17,24],matrix:[0,2,3,4,6,7,8,10,13,15,16,20],matshow:1,matter:[2,3,13,24],max:[0,1,2,3,4,9,10,12,13,21,23],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_it:[0,1,7,8,11,13,23],max_iter:14,max_leaf_nod:10,max_queue_s:[],max_sampl:10,maxdegre:[0,6,10,24],maxdepth:10,maxim:[1,4,5,7,8,11],maximum:[0,1,2,3,5,7,8,9,10,13,14,23,24],maxpolydegre:[5,6],maxpooling2d:3,mbox:[5,6,24],mc:[],mccorduck:23,mcculloch:12,mcint:[],mcintsqr2:[],md:11,mdoel:4,mdyt6uwokt0:[],mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20],mean_absolute_error:[0,23],mean_divisor:14,mean_i:20,mean_matrix:14,mean_squared_error:[0,4,6,7,10,23,24],mean_squared_log_error:[0,23],mean_vector:14,mean_x:20,meaning:[0,4,7,23],meansquarederror:[0,23],meant:[2,3,7,10,13],meantempvec:[],meanvec:[],measur:[0,1,2,5,6,9,11,12,14,20,23,24],mechan:[0,4,20,23],median:[0,23,24],medicin:12,medium:[4,8,13],medv:[0,24],meet:[0,21],mehta:[0,23,24],memori:[3,4,11,12,13,18,23],mention:[0,12,13,20,23],mere:[0,15,23],mersienn:[],meshgrid:[2,5,6,8,9,10,11,24],messag:[5,13],messi:2,met:[0,3,8,23,24],metadata:2,meteorolog:9,meter:[6,24],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,20,22,23,24],metion:6,metric:[0,1,3,4,6,7,9,10,14,15,16,23,24],metropoli:[17,23],mev:[0,20,23],mgd:13,mglearn:[17,23],mgrid:13,mhjensen:[1,2,3,4,6,7,8,11,14,24],mi:10,mia:[21,23],michigan:[23,24],microsoft:22,mid:1,midel:4,midnight:16,midpoint:9,might:[0,1,2,4,6,9,13,24],mild:9,miller:[],millimet:[6,24],million:[0,23,24],mimic:12,min:[0,2,5,8,9,23],min_:[0,2,5,14,23,24],min_samples_leaf:9,mind:[0,6,13,23,24],mindboard:4,mine:[17,23],mini:[1,11,12,13],minibatch:[1,11,13],minibathc:13,miniforge3:[0,1,2,3,4,6,7,8,11,13,14,23,24],minim:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,24],minima:[0,1,7,13,23],minimum:[0,1,2,6,8,9,11,13,24],minmaxscal:[0,24],minor:[6,13,20],minst:1,minu:7,mirror:9,misc:6,misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10,24],mistak:4,mit:22,mix:[1,2,23],mixtur:13,mk48pfcxgyk:[],mk:[9,18],mkdir:[0,6,7,9,23,24],ml:[0,1,10,13,18,24],mlab:20,mle:[5,7],mline:[],mlir:[],mlir_graph_optimization_pass:[],mlp:1,mlpclassifi:1,mlpregressor:[0,23],mm:18,mn:[12,20],mnist:[1,11],mod:20,mode:[19,21,23],model:[2,3,5,7,8,9,10,11,13,14,15,16,17,20,22,24],model_select:[0,1,3,5,6,7,9,10,11,23,24],modelanalyz:[3,4,14],moder:10,modern:[0,6,7,17,23],modif:[2,12,13],modifi:[0,1,3,5,7,8,10,12,13,23,24],modul:[0,3,4,7,11,14,18,23],modular:20,modulenotfounderror:[],modulo:20,moe:[11,24],moment:[5,6,13,20],monitor:13,monoton:[5,12,20],mont:[0,6,17,20,22,23],montecarlocycl:[],moor:[5,6],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,17,20],moreov:[0,3,23],morten:[21,23,24],mortenimac:[],mosek:[],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,20,23,24],mostli:[1,11],motion:[0,13,23],motiv:[1,4],move:[0,4,5,6,7,9,12,13,14,20,23,24],mp4:[],mpl:[0,7,23],mpl_toolkit:[2,6,13],mplot3d:[2,6,13],mplregressor:1,mse:[0,4,5,6,9,10,15,16,23,24],mse_simpletre:10,mselassopredict:5,mselassotrain:5,mseownridgepredict:6,msepredict:5,mseridgepredict:[0,5,6],msetrain:5,msg:[0,23,24],msle:[0,23],mt19937_64:[],mt:[7,12],mu0:20,mu1:20,mu2:20,mu:[0,6,11,13,20,23],mu_1:24,mu_:[6,20,24],mu_i:[6,24],mu_n:11,mu_x:20,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,18,20,23,24],mul:[],multi:[0,1,3,7,17,23,24],multiclass:[1,7],multidimension:[11,12,23],multilay:1,multinomi:7,multipl:[2,4,5,6,7,12,13,20,24],multipli:[2,3,5,6,11,13,18,20,24],multiplum:8,multivari:[0,2,10,11,17,20,23],multivariate_norm:[11,14],murphi:[11,22,23],must:[0,1,2,5,6,8,10,12,13,14,20,23,24],mutat:7,mutual:[1,3,6,13],mx_:20,myenv:[0,1,2,3,4,6,7,8,11,13,14,23,24],myriad:[0,15,17,23],mz1:20,mz2:20,n1:18,n2:18,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,20,23,24],n_0:[12,20],n_:[1,2,3,8,12,20],n_b:[],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:[0,1,23],n_i:20,n_input:[0,1,3,24],n_instanc:9,n_iter_i:[7,11],n_job:10,n_k:14,n_l:[12,20],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,nabla:[1,13],nabla_:[2,13],nabla_w:13,nag:13,naimi:[0,23],naiv:7,naive_kmean:14,najafi:[21,23],nall:[0,23],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,17,18,20,21,23,24],nameerror:[6,10,15],namespac:[3,4,14],narrow:13,nary_f:[2,13],nary_op_arg:[2,13],nary_op_kwarg:[2,13],nary_oper:[2,13],nation:[1,5,24],nativ:[17,23],natur:[0,1,4,8,9,12,13,20,22,23],navier:12,nb:20,nb_:18,nbconvert:23,nboot:[],nd:14,ndarrai:[2,6],ndef:13,ndim:[],ne:[9,10,18,20,24],ne_xcl2ctm0:[],nearest:[1,3,6,11],nearli:13,neat:23,neccesari:6,necess:2,necessari:[0,1,3,4,8,14,23],necessarili:[0,4,11,20,23],necesserali:5,neck:7,need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,24],neg:[0,1,3,5,6,7,10,13,18,20,23],neg_mean_squared_error:6,neglect:20,neglig:20,neighbor:[3,6,11],neither:[4,13],neq:[13,14,20],nervou:12,nest:[2,9,12],nesterov:13,net:[2,4,12],netlib:[18,23],network:[0,9,13,17,22,24],neural:[0,13,17,22,24],neural_network:[0,1,2,23],neuralnetwork:1,neuron:[1,2,3,4,12],neutral:[0,23],neutron:[0,23],never:[1,4,6,9,20],new_box:[2,13],new_chang:13,new_hobbit:23,new_root:[2,13],new_trac:[2,13],new_tracing_count:[],newaxi:[0,3,6,9],newli:[0,23],newton:[1,7,8,13,20],next:[0,1,2,3,4,5,6,8,9,13,14,23,24],next_guess:13,next_input:4,nf8_grad:13,nfrom:13,ng:1,ngini:9,ni:14,nian:[],nice:[0,1,5,11,23,24],nichola:[],nicholaskarlsen1102:[],nimport:13,niter:13,nitric:[0,24],nlambda:[0,5,6],nlevel:[],nlp:22,nm:20,nm_n:[0,23],nmse:6,nn:[2,5,6,12,18],nn_model:1,nnmin:2,node:[1,2,3,9,10,12],node_constructor:2,nois:[0,4,5,6,8,9,10,13,15,16,23,24],noise_dimens:4,noisi:[1,6],non:[0,1,3,5,6,7,9,10,11,12,13,14,18,20,23,24],none:[0,1,2,3,4,5,9,10,13,14,20,23,24],nonlinear:[3,6,8,9,11,12],nonneg:[6,9,13],nonparametr:6,nonsens:20,nonsingular:18,nonumb:[3,7,8,13,18],noqa:[3,4,14],nor:[1,4,13],norm:[0,1,5,6,8,11,13,23,24],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],normali:[18,23],normalize_kwarg:[],norvig:23,norwai:[6,23],notat:[0,2,5,6,13,14,20,23,24],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,20,22,23],notebook:[0,1,3,9,15,17,23],notesexercise5week452022:23,noth:[1,2,5,8,12,14,20,24],notic:[4,5,12,13,18,20,23],notimplementederror:2,notion:3,notrace_primit:[],novel:[3,6,10],novemb:[1,19,21,23],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,18,20,23,24],nowadai:[0,1,3,9,17,23],nox:[0,24],np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,23,24],npr:2,nprint:13,nsampl:[6,9],nspin:[],nt:2,nthi:[0,23],ntrained_model:6,nu:20,nuclear:[5,24],nuclei:[0,20,23],nucleon:[0,23],nucleu:[0,23],num:4,num_allow_arg:[0,23],num_coordin:2,num_hidden_neuron:2,num_it:2,num_neuron:2,num_neurons_hidden:2,num_output:[],num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,21,23],numberid:7,numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,18,22,23,24],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,24],numpy_box:2,numpy_rank_promot:[3,4,14],numpy_vjp:2,numpy_wrapp:2,nunmpi:[5,24],nvalu:9,nx:[2,13],nx_test:6,nx_train:6,nx_train_mean:6,ny:20,ny_pr:6,ny_train:6,ny_train_mean:6,o:[0,6,7,8,9,11,15,18,21,22,23,24],obei:[6,11,13,24],object:[0,1,2,4,6,8,10,13,18,23,24],objsens:[],obliqu:[5,24],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,20],obtain:[0,1,5,6,7,8,9,10,12,13,14,18,20,23,24],obviou:[5,6,11,20,24],obviouli:23,obvious:[0,4,5,6,18,23],oc:24,occupi:[0,24],occur:[0,6,8,9,18,20,23],octob:[19,21,23],od:0,odd:[0,3,7,23,24],odenum:2,odesi:2,oen:0,off:[1,3,4,5,9,13,20],offer:[6,11,17,18,19,21,23],offic:[21,23],offici:[19,23],ofil:[],ofstream:[],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],ofter:[18,23],oh6i_oscwpc:[],ol:[0,13,15,16,23,24],old:[1,5,10,13],ols_sk:6,ols_svd:6,olsbeta:[0,5],olxksel3p4a:[],omega:[2,3,6],omega_0:3,omit:[0,5,23,24],on_train_batch_begin:[],onc:[1,6,9,11,13],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,17,18,20,21,23,24],oneapi:[],onednn:[],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,18,23,24],ones_lik:4,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],onlin:[11,19],onto:[5,11,24],op_nam:[],opbdi:[],open:[0,1,4,6,7,9,15,17,19,21,23],oper:[0,1,3,4,5,6,10,11,12,13,14,15,17,20,23,24],operation:20,ophint:[3,4,14],oplu:20,opmiz:13,opportun:[0,23],oppos:[6,13],opposit:[1,5,8,24],opresolvertyp:[3,4,14],opt:[1,5,23],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16],optimis:[1,3],optimizer_v2:[],option:[0,1,3,5,6,7,8,11,18,24],optionalxlacontext:[],optmiz:[1,8,13,24],oral:23,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,18,20,23,24],ordinari:[0,2,3,7,11,13,15,16,17],oreilli:22,org:[0,3,4,7,11,17,18,22,23],organ:[6,7,10,18],orient:[1,5,20,24],origin:[0,3,5,6,8,11,12,13,18,23,24],orthogn:[5,24],orthogon:[0,5,6,8,11,13,18,23,24],orthonorm:[5,24],os:[0,1,4,5,6,7,8,9,21,23,24],oscar:1,oscil:[3,13],oslo:[0,15,17,19,21,23,24],osx:[0,15,17,23],other:[0,1,2,3,5,6,7,8,10,13,14,15,17,19,20,21,22],otherwis:[0,1,4,7,13,18,23,24],ouput:[5,7,12],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,20],ourmodel:0,ourselv:[0,5,6,8,11,13,23,24],out1:2,out2:2,out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,20,23,24],out_fil:9,outcom:[0,7,9,10,12,20,24],outdoor:9,outer:[6,12,13],outfil:4,outfilenam:[],outgrad:2,outlier:[0,8,23,24],outlin:[6,10,11],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,18,20,23,24],output_bia:1,output_bias_gradi:1,output_shap:4,output_weight:1,output_weights_gradi:1,outputlayer1:12,outputlayer2:12,outsid:4,over1:13,over:[0,1,3,4,5,6,9,10,12,13,18,23,24],overal:[1,10],overcast:9,overcom:[12,13],overdetermin:[0,23],overfit:[0,1,3,6,9,10,13],overflow:[1,5],overhead:12,overlap:[3,7,8,9],overlin:[0,5,6,9,10,11,14,18,23,24],overst:[0,23],overtrain:4,overview:3,own:[4,5,6,8,12,13,17,18],owner:[0,24],ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6],ownypredictridg:0,ownytilderidg:0,oxid:[0,24],oyvinssc:[],p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],p_:[2,4,8,9],p_hidden:2,p_i:[5,20],p_j:20,p_n:20,p_output:2,p_x:20,pack:[0,23],packag:[0,1,2,3,4,5,6,7,8,11,13,14,15,17,20,24],pad:[3,4],page:[0,17,23],pai:[0,1,9,13],pair:[0,2,3,9,17,20,23,24],pamilla:23,panda:[0,4,5,6,7,9,11,15,17],panel:23,paper:1,paradigm:[0,23],parallel:[3,4,10,13,14,17,18,23],param:2,paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,20],parameter:[0,6,10,23,24],parametr:[0,6,15,16,23,24],paramt:[3,5],parent:2,parent_argnum:2,park:[],parser:[0,23],part:[0,1,3,5,6,10,18,19,20,21,23],partial:[0,1,3,4,5,6,7,8,10,11,12,13,14,16,20,23,24],partialmethod:[3,4,14],particip:[17,19,21,23],particl:[0,4,13,20,23],particular:[0,1,2,3,5,6,9,10,11,12,13,16,20,22,23,24],particularli:[5,6,8,11,13,20,24],partit:[1,4,9],partli:[6,23],pass:[2,3,12,14],past:[10,20],patch:[6,20],path:[0,4,6,7,9,15,17,23,24],patient:7,patter:4,pattern:[0,3,4,12,19,22,23],pauli:[0,23],pc:[11,17],pca:[0,7,17,23,24],pcolor:6,pcolormesh:6,pd:[0,4,5,6,7,9,11,23,24],pde:2,pdf:[0,3,4,5,6,9,22,23],pedagog:[0,23,24],penal:[6,24],penalti:[6,13,24],penros:[5,6],pentagon:13,peopl:[0,1,9,13,17,24],per:[0,1,6,19,21,23,24],percentag:[0,10,11,21,24],perceptron:[0,1,7,23],peregrin:23,perfect:[0,1,13,23],perfectli:[4,6],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,20,23,24],performac:4,perhap:[0,5,13,23,24],perimet:[1,9],period:[1,4,20],permut:11,persist:13,person:[5,6,7,19,21,23,24],perspect:22,pertin:12,petal:[8,9],peter:22,petersen:[],phantom:20,phase:[6,12],phawkin:[3,4,14],phenomena:20,phi:8,phi_k:8,philip:[],philosophi:13,phone:[21,23],photo:4,phrase:[0,23],physic:[0,1,4,7,12,13,20,21,22,23,24],pi:[2,3,5,6,7,9,12,13,20],pick:[1,9,10,11,13,14],pickl:1,pictur:[0,23],pie:[17,23],piec:[11,14],pillow:[0,15,17,23],pinv:[5,6,13,24],pip3:[0,1,15,23],pip:[0,1,15,17,23],pipelin:[0,6,8,10,24],pippin:23,pit:4,pitfal:[6,24],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,18,23],plai:[0,3,4,5,6,8,11,17,23,24],plain:[8,10,12,13,14],plan:[6,9,21,22,23],plane:[8,9],plateau:5,platform:[17,23],plausibl:12,pleas:[3,4,6,7,11,13,14,21,23,24],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],plot_confusion_matrix:[7,10],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],plot_train:9,plot_tre:[9,10],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],plu:[0,3,5,7,23,24],pm:8,pmatrix:2,pml:22,pn:3,png:[0,4,6,7,9,23,24],pocketfft:[3,4,14],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],point_1:4,point_2:4,poisson:[17,20,23],poli:[6,8],pollut:[3,4,14],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:13,poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,24],polygon:13,polym:12,polynomi:[0,5,6,7,8,9,10,11,15,16,23,24],polynomial_featur:6,polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,24],polytrop:[0,6,23],pool:3,pool_siz:3,poor:[1,13],poorli:[0,24],pop:2,popul:[0,5,23,24],popular:[0,1,3,6,7,8,9,11,12,15,17,18,20,23,24],popularli:[0,23],portabl:10,portion:[11,13],pose:[0,4,5,6,11,20,23],posit:[0,1,2,3,5,7,8,10,11,13,14,18,20,23,24],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,20,21,23,24],posterior:5,postpon:[0,23,24],postul:5,potenti:[0,3,5,6,12,13,23,24],potr:[],potrf:[],pott:12,power:[0,1,5,6,8,9,12,13,23,24],pp:[5,6],practic:[0,5,6,7,8,20,24],practition:[0,1,3,23],pre:23,preced:[1,11,12,20],preceed:4,preceq:8,precis:[0,2,5,11,13,18,20,23,24],pred:6,predicit:0,predict:[0,1,5,6,7,8,9,10,15,16,17,22,23,24],predict_prob:1,predict_proba:[7,10],predictor:[0,5,6,7,9,10,11,23,24],prefer:[0,1,6,8,9,11,13,15,17,23],prepar:[0,6,18,23,24],preprocess:[0,4,6,7,8,9,10,11],prerequisit:0,presenc:13,present:[0,5,6,7,9,12,13,18,20,23,24],preserv:[3,11,18],press:[13,22],pretrain:[1,4],pretti:[0,4,8,9,15,17,23],prev_centroid:14,prevent:[13,20],previou:[0,1,2,3,4,5,6,8,10,11,12,13,18,20,24],previous:[2,3,9,10,20],price:[0,4,9,13,24],primal:8,primari:[0,7,23],prime:20,primit:2,primitive_batch:[3,4,14],princip:[0,5,7,17,23,24],principl:[0,6,7,8,14,23],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],print_funct:[8,9],printout:[0,23],prior:[0,5,6,23,24],privat:[0,23],prob:[1,20],probabilist:[0,22,23,24],probabl:[0,1,3,4,6,7,10,13,17,23,24],problem:[0,3,4,5,6,7,8,9,10,11,12,14,16,17,18,20],probml:22,proce:[0,5,6,7,8,9,10,11,13,18,23,24],procedur:[2,4,5,6,8,10,11,13,24],proceed:18,process:[0,2,4,6,9,10,12,13,15,17,18,20,22,23],prod:22,prod_:[1,5,7],produc:[0,3,4,5,6,9,10,11,12,13,17,18,20,23,24],product:[0,1,3,5,6,7,8,12,13,16,17,18,23,24],profess:[0,23],program:[0,1,4,5,6,8,12,14,15,16,17,18,19,20,21,23,24],programm:18,progress:[1,4,14],prohibit:6,project1:6,project:[0,1,2,3,5,11,13,17,19,21,24],project_root_dir:[0,6,7,9,23,24],promin:12,promis:8,promot:[21,23],prone:9,pronounc:[13,17,23],proof:[0,11,12,13,23],propag:[2,3,13],proper:[0,2,6,7,23],properli:[1,6,8,10,13],properti:[0,1,3,12,13,16,18,23],proport:[0,1,5,9,11,13,16,20,23,24],propos:[1,4,6,10,23],propto:[5,13],protect:[],protobuf:[],proton:[0,23],prove:[3,13],provid:[0,1,3,4,5,6,8,9,10,12,13,15,17,18,20,23,24],proxi:[1,13],prune:9,pseudo:[18,20],pseudoinv:5,pseudoinvers:[5,6],pseudorandom:[6,20],psycholog:[0,23],pt:13,ptratio:24,punish:[0,1,23],pure:[3,9,20],purest:9,puriti:9,purpos:[0,3,10,12,14,23,24],put:[1,23],putarow:[],putboundslic:[],putclist:[],putobjsens:[],putqobj:[],py:[0,1,2,3,4,5,6,7,8,11,13,14,23,24],pycod:23,pydata:17,pydot:9,pyhton2:23,pylab:[0,7,23],pylint:[3,4,14],pypi:17,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],pythagora:5,python2:[0,15,23],python3:[0,1,2,3,4,6,7,8,11,13,14,15,17,23,24],python:[1,2,3,4,5,6,8,11,12,13,14,16,20,24],pytorch:[0,17,23],pywrap_tf:[],q:[5,6,8,11,20,24],qn_bavhmd8u:[],qp:8,qquad:[2,11,13,18],qr:[5,6,18,24],quad:[1,13,18],quadrat:[0,8,9,13,15,16,23],qualit:[4,9,20],qualiti:[0,9,15,16,17,23,24],quantifi:1,quantil:10,quantit:[0,6,9,23],quantiti:[0,2,5,6,7,9,10,11,12,14,16,18,20,23,24],quantum:[4,12,22,23],quartil:[0,24],quench:5,queri:9,question:[0,5,6,9,11,12,13,21,23,24],qugan:4,quick:[4,20],quick_execut:[],quickli:[1,3,9,11,13],quit:[1,5,6,9,10,12,24],quot:[4,23],r2:[0,5,6,23,24],r2_score:[0,23,24],r2score:[0,23],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,24],r_1:9,r_2:9,r_j:9,r_m:9,rad:[0,24],radial:[0,8,12,24],radioact:20,radiu:[0,1,9,24],rag:2,rain:9,rais:[0,2,13,23],ramp:1,ran0:20,ran1:20,ran2:20,ran3:20,rand:[0,4,5,6,9,10,13,15,16,18,23,24],rand_max:[],randint:[6,9,13],randn:[0,1,2,5,6,9,11,13,15,16,23,24],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,17,18,23,24],random_devic:[],random_forest_model:10,random_index:13,random_indic:[1,3],random_st:[0,7,8,9,10,11,24],randomforestclassifi:10,randomli:[1,6,9,13,14],randomnumbergener:[],rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,18,20,23,24],rangl:[0,6,11,20,23,24],rangle_x:20,rank:[5,24],rankdir:4,raphson:[1,8,13],rapidli:[0,23],rare:[1,13,23],rate:[0,1,2,3,4,8,9,10,12,13,24],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],ratio:[4,7,9,10,11],rational:[0,23],ravel:[5,6,7,8,9,10,11,13,18,24],raw:3,raw_df:24,rbahrf:[],rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,20,24],rcond:[0,23,24],rcparam:[0,1,3,7,8,9,10,20,23],rd:[],rdbj50lv3go:[],re:[2,4,13],reach:[1,4,5,6,7,9,10,11,12,13,14],read:[0,2,3,4,5,6,7,8,11,12,16,18,19,20,22],read_csv:[0,6,7,9,23,24],read_fwf:[0,23],reader:[0,6,18,20,23,24],readi:[0,1,5,6,8,10,11,12,18,23],readili:1,readthedoc:17,real:[0,1,2,4,7,10,11,12,13,18,24],real_loss:4,real_output:4,realist:8,realiti:20,realiz:[1,12],realli:[0,1,23],rearrang:13,reason:[0,1,3,4,10,13,22,23],reassign:1,rebuild:[],recal:[5,6,9,10,11,12,18,20,23,24],recalcul:[],recast:3,receiv:[1,3,10,12,20],recent:[0,2,3,4,6,9,10,13,14,15,22,23],recept:[3,12],receptive_field:3,recip:[0,6,7,18,23,24],reciproc:5,recogn:[0,4,5,10,23],recognit:[0,1,3,12,19,22,23],recommend:[0,2,3,4,5,6,8,13,15,17,18,22],reconsid:9,reconstruct:11,record:[10,19,21,23],recreat:[],rectangl:[9,13],rectangular:[5,24],rectifi:[1,3,12],recur:[0,17,23],recurr:[0,1,17,23],recurs:[9,17,18,23],recycl:[],red:[0,3,4,6,8,9],redefin:[0,10,23,24],reduc:[1,3,5,6,9,10,11,13,23],reduct:[0,10,11,17,20,23,24],refer:[0,1,2,3,5,6,7,11,12,13,14,18,22,23,24],referenc:2,refin:12,refit:6,reflect:[0,1,4,5,20,23],refresh:[17,23],refreshprogrammingskil:23,reg:[10,11],regard:[1,9,13],regardless:12,region:[3,4,6,9,12],regist:[6,20],reglasso:5,regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,17,18],regressor:[0,7,10,23],regridg:[0,5,6],regular:[0,3,4,5,6,7,9,13,21,23,24],regularis:6,reilli:[0,15,22,23],reinforc:[0,8,17,23],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,20,23,24],relat:[0,1,3,4,5,11,13,14,18,20,23],relationship:[0,4,9,23],relativeerror:[0,23,24],releas:[1,6,13,17,23],relev:[0,1,5,7,11,15,17,20,23],reli:[0,3,4,6,8,14,23],reliabl:[7,20],relu:[3,4],remain:[1,2,4,6,12,18,20,24],remaind:20,reman:2,remark:1,rememb:[0,8,13,18,23],remind:[0,5,11,13,18,20,24],remov:[0,4,5,6,23,24],render:[0,23,24],reorder:[5,7,24],reorgan:[0,23],repeat:[0,1,3,4,5,6,9,10,11,13,14,18,20,23],repeated:23,repeatedli:[0,6,10,13],repet:3,repetit:[6,23,24],rephras:13,replac:[0,1,3,4,5,6,10,12,14,15,16,17,23,24],replica:6,report:23,repositori:[0,4,23,24],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,20,23,24],represent:[0,1,3,6,20,23],representd:3,reproduc:[0,5,6,9,12,15,16,17,20,23,24],repuls:[0,23],request:[0,13,23],requir:[0,1,3,4,5,6,8,9,11,12,13,18,23,24],res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:6,resampl:[0,7,10,17,23,24],rescal:[0,11,12,24],rescu:5,reseach:6,research:[0,4,13,17,22,23],resembl:[6,20],reserv:[1,5,6,20],reset:[],reshap:[0,1,2,3,4,6,8,9,10,15,16,18,23,24],residenti:[0,24],residu:[0,5,13,23],resiz:[5,24],resourc:23,respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,20,23,24],respond:12,respons:[0,7,9,12,23,24],rest:[0,5,24],restat:[0,12,23],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,23],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23],result_typ:[],retail:[0,24],retain:[5,6,24],return_data:14,return_kwarg:[],return_sequ:4,return_x_i:9,reus:[1,3,6],reveal:[0,12,23],revers:[1,18],review:[17,18],revisit:14,revolut:23,reward:[0,4,23],rewrit:[0,3,5,6,7,8,10,11,12,13,18,20],rewritten:[2,6,8,10,20],rewrot:13,rf:10,rfft2:[3,4,14],rfft:[3,4,14],rfftfreq:[3,4,14],rfftn:[3,4,14],rgb:3,rgoj5yh7evk:17,rh:6,rho:[0,10,13,23],rho_1:10,rho_2:10,rho_m:10,rich:[0,23],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,17,23],ridge_sk:6,ridgebeta:5,right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,18,20,23,24],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,20,23,24],rigor:[0,23],ring:6,rise:[0,23],risk:[0,13,15,16,23],rival:4,river:[0,24],rm:[0,20,24],rmse:[0,24],rmsporp:13,rmsprop:[1,3,4,13],rnd_clf:10,rng:20,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:20,rntrick2:20,rntrick3:20,rntrick4:20,ro:[0,13,23],robert:22,robust:[0,23],robustscal:[0,24],roc:[7,10],role:[0,2,5,6,8,17,23,24],roll:6,room:[0,21,23,24],root:[0,5,9,13,20,23,24],rot:23,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13,24],routin:[13,18,23],row:[0,1,2,5,6,7,9,11,18,23,24],rr:[5,24],rrr:[5,24],rthe:[],rug:13,rule:[0,1,5,6,13,23,24],run:[0,1,2,4,5,6,8,9,11,13,15,17,23,24],runtim:[1,6,14],runtimewarn:[1,6],russel:23,rust:[0,15,17,18,23],rustad:[],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,20,23,24],s_1:6,s_:[3,6],s_i:[6,7],s_j:6,s_k:6,saddl:13,safe:[],safe_zip:[3,4,14],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,18,20,23,24],said:[6,9,13],sake:[0,5,7,11,23,24],sale:[0,23],sam:23,same:[0,1,2,3,4,5,6,8,9,11,12,14,18,20,23,24],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,20,23,24],sample_vari:14,sample_weight:[],sampleexptvari:20,samwis:23,sastri:11,satisfactori:[0,23],satisfi:[1,2,3,6,8,13,18,20],satur:[1,6],save:[0,4,6,7,9,13,23,24],save_fig:[0,6,7,9,10,23,24],savefig:[0,4,6,7,9,20,23,24],savetxt:4,saw:[5,24],scalabl:10,scalar:[2,5,6,10,13,24],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,18,21,23],scale_mean:4,scale_std:4,scalei:[],scaler:[0,7,8,9,10,11,24],scalex:[],scan:[5,7],scari:5,scatter:[0,1,6,7,8,9,14,23,24],scenario:[6,13],schedul:[13,21],scheme:[1,13],schigsog2l:[],schrage:20,scienc:[0,1,10,12,13,17,19,20,21,22,24],scientif:[0,15,17,23],scientist:[0,23],scikit:[3,5,6,7,8,9,10,13,17,18,19,22],scikit_learn:[0,16],scikitlearn:23,scikitplot:[7,10],scipi:[0,3,5,6,13,15,17,18,23,24],scl:6,score:[0,1,3,6,7,9,10,11,15,16,21,23,24],scores_kfold:6,scratch:[1,13],sdg:13,sdt_bfla8ua:[],seaborn:[0,1,3,6,7,23,24],seamless:[0,15,17,23],search:[0,1,3,5,9,13,23],sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,20,21,23,24],secondeigvector:11,secondli:12,section:[4,11,18,20,24],sector:[0,23],see:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,23,24],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,20,23,24],seed_imag:4,seek:[1,2,8],seem:[1,3,4],seemingli:[0,23],seen:[0,1,3,5,10,12,20,23],segment:13,seismic:6,seldomli:[0,23],select:[1,5,6,8,9,10,11,19,20,21,22,23,24],self:[1,2,5,24],sell:4,semest:[7,19],semi:[8,13],semilogx:6,send:[5,12,13,21,23],senior:[19,21],sens:[0,4,6,8,23],sensibl:3,sensit:[0,5,6,9,13,23,24],sent:2,sentenc:[4,12],sep:24,separ:[0,1,2,3,4,6,8,9,12,14,15,17,20,23],septemb:[16,23,24],sequenc:[2,3,4,7,9,10,12,13,17,18,20,23],sequenti:[1,3,4,10,12,20],seri:[0,1,2,3,4,5,6,10,11,12,13,18,23,24],serif:[0,7,20,23],serv:[0,1,2,3,5,7,13,22,23,24],session:[1,19,21,23],set:[1,4,5,6,7,8,10,11,13,14,16,17,18,20,21],set_major_formatt:6,set_major_loc:6,set_stream:[],set_tick:[1,8],set_ticklabel:1,set_titl:[0,1,2,3,7,12,14,23],set_xlabel:[0,1,2,3,7,12,23],set_xlim:[7,12],set_xticklabel:1,set_ylabel:[0,1,2,3,7,23],set_ylim:[7,12],set_ytick:7,set_yticklabel:[1,6],set_zlim:6,seth:4,setiosflag:[],setminu:6,setosa:[8,9],setosa_or_versicolor:8,setp:6,setprecis:[],setse:[],setup:[1,4,6,8,17,23,24],setw:[],sever:[0,3,5,6,7,8,9,11,12,13,17,18,20,23,24],sgd:[1,3],sgd_clf:8,sgdclassifi:8,sgdreg:13,sgdregressor:13,sgn:[5,24],sh:[],shallow:13,shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,23,24],shape_bas:2,share:[1,3,23],she:7,shift:[1,6,12,20],ship:3,shire:23,shortcom:13,shorten:4,shorter:20,shorthand:23,shortli:[18,23],should:[0,2,3,5,6,8,9,11,12,13,15,16,18,20,23,24],should_sync:[],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],show_shap:4,shown:[0,4,5,7,8,11,12,13,18,24],showpoint:[],shrink:[3,5,6,8,11,24],shrinkag:[5,6,24],shrunk:11,shuffl:[0,1,4,6,13,24],side:[0,2,5,8,12,13,18,23],sigh:[17,23],sigma0:20,sigma1:20,sigma2:20,sigma:[0,1,5,6,7,10,11,12,13,18,20,23,24],sigma_0:[5,24],sigma_1:[5,24],sigma_2:[5,24],sigma_:[5,18,23,24],sigma_fn:[7,12],sigma_i:[0,5,23,24],sigma_j:[5,24],sigma_m:[6,20],sigma_n:[11,20],sigma_t:13,sigma_x:20,sigmoid:[1,2,4,7,8,10,12],sigmundson:[6,24],sign:[1,2,7,8,10,20,21],signal:[1,3,10,12],signatur:[],signifi:4,signific:1,significantli:[1,13,20],sigurd:[],sim:[4,5,6,13,20],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,18,23,24],similarli:[0,1,3,5,8,10,13,20,23,24],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,20],simple_rnn:[],simplepredict:10,simpler:[0,1,5,6,7,13,16,17,23],simplernn:4,simplest:[0,1,3,4,9,10,12,14,23],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,17,18,20,23,24],simplic:[2,5,6,7,8,9,10,11,12,14,24],simplicti:[5,24],simplifi:[0,6,9,15,17,23,24],simplist:[3,6,20],simul:6,simultan:6,sin:[0,1,2,3,4,9,12,13,18,23],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,18,20,22,23,24],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,18,20,23,24],singular:[0,6,13,18,23],sinusoid:3,site:[0,1,2,3,4,6,7,8,11,13,14,19,23,24],situat:[0,4,5,7,13,20,23,24],six:[3,4,14,20],size:[0,1,2,3,4,5,6,8,9,10,11,13,18,20,23],sketch:10,ski:9,skill:[0,23],skip:11,skiprow:24,skl:[0,6,23,24],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,23,24],skplt:[7,10],sl:6,slack:8,slice:[2,18,23],slide:[0,3,15,16,20,23,24],slight:[6,13],slightli:[1,2,3,5,6,7,10,20,24],slope:[8,11,12],slow:[0,2,8,13,24],slower:[5,18,23,24],slowest:18,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,17,18,20,23,24],smaller:[0,1,2,5,6,8,9,11,13,20,23,24],smallest:[0,4,14,15,16,23],smallest_row_index:14,smooth:[0,3,6,9,13,23],sn:[0,1,3,6,7,23,24],sne:11,sneak:23,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,23,24],soar:6,social:[0,23],societ:23,soft:[1,7,10,12],soft_pmap:[3,4,14],soften:8,softmax:[3,7],softwar:[0,8,15,17,18],sol:8,sole:[0,6,23],solid:[0,7,23],solitem:[],soltyp:[],solut:[0,1,2,3,5,6,8,10,11,13,18,20,23,24],solutionsummari:[],soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,18,23,24],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],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,20],some_model:[6,24],somehow:4,someth:[0,1,3,4,7,9,11,20,23,24],sometim:[0,1,11,12,13,14,23,24],soon:[18,21],sophist:[0,23],sopt:13,sort:[5,6,9,11,20,24],sound:[3,5],sourc:[0,1,3,6,15,17,18,20,23,24],space:[0,1,4,5,8,9,11,12,13,14,20,24],span:[0,3,5,9,11,18,23,24],spare:1,spars:[3,6,18,23],sparse_mtx:[18,23],sparsecategoricalcrossentropi:3,sparsiti:10,spatial:[1,2,3,12],spdiag:[],speak:20,special:[6,7,10,12,13,18,20,23,24],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,17,18,20,22,23,24],specifi:[0,3,5,6,7,9,11,13,14,20,23],specifici:[0,10,23],spectacular:3,spectral:1,speech:[0,1,3,4,12,23],speed:[1,2,4,13],spend:20,sphere:[0,24],spin:6,spite:[0,23],spline:8,split:[1,3,4,5,6,8,9,10,11,14,20],splite:0,splitter:[1,10],spmatrix:[],spontan:20,spot:3,spread:[0,11,20,23,24],springer:[22,23],spuriou:13,sqquar:[],sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,20,24],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,18,20],squarederror:10,squaredeuclidean:14,squash:12,squeez:[],srand:[],srtm:6,srtm_data_norway_1:6,sse4:[],stabil:5,stabl:[0,4,5,6,7,9,11,17,23,24],stack:[2,3,4],stacklevel:[0,23],stage:[5,13],stai:[0,2,4,5,11,23,24],stand:[0,5,9,12,23,24],standadscal:24,standard:[0,1,4,5,6,7,8,10,12,15,16,18,20,23],standard_basi:2,standardscal:[0,6,7,8,9,10,11,24],stanford:13,start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,18,20,21,23,24],start_box:[2,13],start_nod:[2,13],start_tim:14,startpoint:[],stat:[6,24],state:[1,2,4,5,6,7,8,10,11,12,13,17,20,24],statement:[0,7,18],statist:[0,1,3,4,7,9,10,11,12,13,14,18,19,22,24],statu:[0,7,11,23,24],stavang:6,std:[0,4,6,23,24],stdev:[],stdout:[],steep:13,step:[0,1,2,4,6,7,9,10,11,12,13,14,18,23],step_fn:[7,12],step_length:13,steps_list:9,steps_per_epoch:[],stereo:3,stian:[],still:[0,2,3,5,6,11,13,20],stimuli:12,stk2100:[22,23],stk3155:[15,19,21],stk4021:[22,23],stk4051:[22,23],stk4155:[19,21],stk5000:22,stk:[22,23],stochast:[0,1,5,6,8,11,12,15,16,23],stock:4,stoke:12,stone:[0,7,23],stop:[1,4,7,9,11,13,14],storag:[5,24],store:[0,1,2,3,6,11,13,20,23],storehaug:[21,23],str:[1,3,4],straight:[0,6,8,13,23,24],straightforward:[0,2,3,5,6,8,9,10,13,18,23,24],strategi:[0,1,9,23],stratifi:6,streamtyp:[],strength:[0,5,14,24],stretch:11,strict:[8,13],strictli:[8,13],stride:[4,18],strike:6,string:1,stroke:7,strong:[3,6,9,10,12,18,20],strongli:[0,8,17,18,24],stronli:[0,24],structur:[0,1,2,3,6,9,10,12,17,23],stuck:[1,13],student:[0,19,21,22,23],studi:[0,3,4,5,6,7,8,11,12,13,17,22,23,24],studier:22,style:[0,7,9,18,23],sub:[9,12],subarg:[2,13],subdivid:[0,18,23],subfield:[0,23],subject:[6,8,20],submit:23,submodul:[3,4,14],subplot:[0,1,3,4,6,7,8,9,10,13,14,23,24],subplots_adjust:[8,20],subprogram:[18,23],subract:[0,24],subroutin:[0,23],subscript:1,subsequ:[1,4,5,6,12,18,20,24],subset:[1,6,9,12,13,17,23],subspac:[0,8,11,24],substanti:[9,10],substep:11,substitut:[3,6,12,18],subsubset:9,subtask:6,subtl:1,subtract:[0,2,4,5,6,11,13,18,20],subtre:9,subval:[2,13],succeed:[0,4,23],success:[3,7,9,13,20],successfulli:[4,9],sucess:[],sudo:[0,15,17,23],suffer:[0,1,2,5,10,23,24],suffici:[1,6,8,11,13],suggest:[1,13,22],suit:[8,12],suitabl:[0,20,24],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],sum_i:[0,2,5,6,8,13,24],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],summari:[1,3,4,10,19],summat:[0,3,16,24],sunni:9,superconduct:24,superfici:3,superscript:[1,12],supervis:[0,5,6,7,9,12,17,23,24],supplement:7,support:[0,1,9,10,11,13,17,23,24],suppos:[0,5,6,7,8,10,11,12,13,18,23,24],suppress:[5,13],sure:[0,1,4,6],surf:6,surfac:[0,6,23],surpass:6,surpris:[0,23],surround:[3,17],survei:[0,5,6,23,24],suyrzm0:[],svc:[8,9,10],svd:[0,6,11,23],svdinv:5,svm:[8,9,10,11],svm_clf:[8,10],swap:[],swapax:[],swath:[5,24],sy:[3,4,13,14],symbol:[1,5,11,13,17,20,23,24],symmeteri:1,symmetr:[0,5,8,11,12,13,18,23,24],symmetri:[6,9],sympi:[0,15,17,23],synonim:20,syntax:[1,13],syntaxerror:[1,8],syrk:[],system:[0,1,3,4,6,7,9,10,12,13,15,17,18,23],systemat:[4,6],t0:[3,6,13],t1:[2,13],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23],t_0:[2,9,13],t_1:13,t_:2,t_b:10,t_i:[1,2,5,12,24],t_j:12,t_k:9,tabl:[9,20,21,23],tabul:[0,23],tabular:23,tackl:4,tag:[2,3,4,5,6,7,12,13,14,18,20,24],taht:[0,23],tail:20,tailor:[2,8,11,23],taiwan:[0,23],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,20,23,24],taken:[0,1,3,6,10,13,18,23],tan:[2,3],tangent:[1,4,12,13],tanh:[1,4,7,8,12],tape:[],target:[0,1,2,3,4,5,6,7,8,9,10,11,12,23,24],target_meta:2,target_nam:9,task:[0,1,3,6,9,11,12,14,23],tau:[3,5,20],taught:23,tax:[0,24],taylor:[2,13],taylornr:13,tc:8,td:[1,6,13,23],teach:23,team:1,teaser:0,technic:[0,5,6,13,15,23,24],techniqu:[0,1,8,10,13,17,20,22,23,24],technolog:[0,1,23],tek5040:[],tell:[0,4,6,10,11,13,20],temp1:1,temp2:1,temp:1,temperatur:[0,9,23],temporarili:1,ten:[3,23],tend:[3,5,6,8,9,10,12,13,14,24],tendenc:[0,23],tension:6,tensor:3,tensorflow:[0,2,4,8,14,15,17,18,19,22,23,24],term1:[5,6,11,24],term2:[5,6,11,24],term3:[5,6,11,24],term4:[5,6,11,24],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,23,24],termin:[0,4,5,9,10,13,15,23,24],terrain1:6,terrain:6,test:[3,4,5,6,7,8,9,10,13,14,18,20],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:[0,1,3,5,6,10,23,24],test_split:9,testerror:[0,6,24],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,18,20,22,23,24],textbook:24,textual:9,textur:[1,9],tf:[1,3,4,13,14],tfe_py_execut:[],tflite:[3,4,14],th:[0,1,2,5,6,7,9,12,13,14,15,16,18,20,23,24],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,20,23,24],thank:[4,6,24],theano:[1,17,23],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,24],them:[0,1,3,4,6,8,9,10,11,12,13,18,23,24],theme:[0,23],themselv:[0,20,23],thenc:6,theorem:[2,6,7,24],theoret:[0,4,10,23],theori:[0,1,3,8,9,12,13,17,22,23],thereaft:[0,5,6,11,12,15,16,18,23],therebi:[0,5,7,11,23,24],therefor:[0,1,2,3,4,6,7,8,11,13,20,23,24],therein:11,thereof:[0,6,13,23],theta:[1,4,13,20],theta_:[1,13],theta_i:1,theta_k:[],theta_linreg:13,theta_t:13,thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24],thing:[0,1,2,4,5,7,9,20,23],think:[0,1,3,4,6,9,12,13,14,20,23],third:[0,3,6,13,21,23],thirti:7,thorughout:23,those:[0,3,5,6,8,9,10,11,18,19,23,24],though:[1,2,3,4,13,18,20],thought:[6,14,20],thousand:[0,1,23,24],thread:[],three:[0,1,3,5,6,8,9,12,15,18,19,20,21,23,24],threshold:[1,3,9,10,11,12,13],through:[0,1,2,3,4,5,6,8,11,12,13,14,17,18,20,23,24],throughout:[0,4,5,14,17,18,20,23],thu:[0,1,2,5,6,7,8,10,11,12,13,21,23,24],thumb:[0,6,23,24],thursdai:[21,23],tibshirani:[6,19,22,23,24],tick_param:6,ticker:[6,13,20],tif:6,tight_layout:[1,7],tightli:11,tild:[0,5,6,7,11,15,16,20,23,24],till:[0,4,7,8,9,10,12,18,23,24],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],timefunct:[],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,20,23,24],tmp:13,tmp_log:[],tn:[2,3,7],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,23],to_str:[],todai:3,todo:[3,4,14],togeth:[0,3,6,8,11,13,17,23,24],toi:14,told:13,toler:[2,6,14],tolist:4,tomographi:12,too:[0,2,4,5,6,9,11,13,15,20,22,23,24],took:[8,23],tool:[0,1,3,6,13,17,24],toolbox:8,top:[0,3,4,5,6,9,10,14,17,23],top_node_typ:[],top_trac:[],topic:[0,5,6,7,8,17,24],topolog:[1,3,12],toposort:2,torkjellsdatt:[21,23],toss:[10,20],total:[0,1,2,3,4,6,7,8,10,11,12,13,14,15,16,18,20,21,23,24],total_loss:4,totalclustervari:14,totalscatt:14,totalvari:[],toward:[1,2,7,12,13],town:[0,24],tp:[4,7],tpng:9,tpu:[13,17,23],tqdm:6,tr:24,trace:[2,13],trace_stack:[2,13],traceback:[0,2,3,4,6,9,10,13,14,15,23],traceback_util:[],tracer:[2,13],track:[3,13,14,18],tract:[0,24],tractabl:[0,23,24],trade:[5,9],tradeoff:[0,5,23,24],tradit:[0,1,4,6,23],train:[2,3,5,6,8,9,10,11,12,13],train_accuraci:[0,1,3,23],train_dataset:4,train_end:[0,1,24],train_error:6,train_funct:[],train_imag:[3,4],train_ind:6,train_label:[3,4],train_pr:1,train_siz:[0,1,3,24],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,23,24],train_test_split_numpi:[0,1,24],trainabl:[],trainable_vari:4,trained_model:[6,24],trainerror:[0,24],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:[0,23],trajectori:4,tran:[],transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],transit:[6,12],translat:[1,4,6,10,24],transpos:[1,5,11,18,24],travers:[0,5],treat:[0,1,3,6,12,13,20,23,24],tree:[0,1,6,17,23],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:20,treue:7,trevor:22,tri:[2,3,4,9,13],triain:0,trial:[0,2,4,6,13,20,23],triangl:13,triangular:18,trick:[3,4,8,11,13,20],trickier:20,tridiagon:18,trillion:17,trivial:[0,1,5,11,20,23],troubl:[0,8,12,24],truck:3,true_beta:[6,24],true_divid:1,true_fun:6,truli:23,tucker:8,tuesdai:[21,23],tumor:[7,9],tumour:7,tunabl:1,tune:[4,9,13,18,23],tup:[],tupl:[2,13],turn:[0,1,5,6,7,8,9,10,11,12,13,18,20,23,24],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,20],twice:13,twist:11,twister:[],two:[0,1,2,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,22,23],tx:13,tx_1:13,txt:4,ty:13,type:[0,1,3,6,8,10,13,16,18,20,24],typeerror:[2,13],typic:[0,1,2,3,4,5,7,9,10,12,13,20,23,24],u:[0,2,5,6,8,10,11,12,18,23,24],u_:18,u_i:12,u_m:10,ua:[0,23],ubuntu:[0,15,17,23],uci:[0,24],ufunc:2,uio:[21,22],un:14,unari:[18,23],unary_f:[2,13],unary_oper:[2,13],unary_to_nari:[2,13],unbalanc:[6,9],unbias:[0,5,6,23],unbroadcast:2,unbroadcast_f:2,uncent:6,uncertainti:[0,5,23],uncertitud:20,unchang:[1,3],uncorrel:[10,20],undefin:[5,24],under:[0,1,3,4,5,6,10,13,14,15,16,17,23,24],underdetermin:[0,23],underfit:[1,6],underflowproblem:5,undergo:5,undergradu:[19,21],underli:[0,1,9,13,20,23],underset:[4,14],understand:[0,1,3,5,6,10,13,14,17,23,24],understood:[8,13],undesir:8,undetermin:[5,8],undo:4,unexpect:6,unexpected:20,unfair:[6,24],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,20,23,24],uniform_real_distribut:[],uniformli:[13,20],unifrompdf:20,unimport:13,union:[5,6],uniqu:[0,2,6,13,14,18,23],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,20,23,24],unitari:[5,6,18,24],unitarili:[18,23],uniti:20,univari:20,univers:[0,1,2,13,15,17,19,21,23,24],unix:1,unknow:[0,18,23],unknown:[0,1,3,4,5,6,8,10,13,16,18,23,24],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,23,24],unlik:[1,2,3,8,13],unnecessarili:9,unord:3,unravel:1,unrol:[3,11],unseen:[0,7,9],unstabl:1,unsupervis:[0,1,4,12,17,23],unsymmetr:[18,23],until:[1,2,4,9,12,13,14],untouch:0,unus:[3,4,14],unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,17,18,20,21],updat:[1,2,3,4,10,12,13,14],uploa:23,upload:[17,22],upon:[0,1,6,7,11,18],upper:[0,8,9,16,18,24],uppercas:[18,23],upsampl:4,upscal:4,us:[4,5,6,8,9,10,11,12,14,15,16,18,19,20,22],usa:23,usag:[0,8,17,23,24],usd10000:[0,24],usd:[0,24],use_bia:4,use_multiprocess:[],usecol:[0,23],useless:1,user:[0,1,2,3,4,6,7,8,11,14,15,17,18,23,24],userwarn:[3,4,6,14],usetex:20,usg:6,usr:20,usual:[0,3,4,7,12,13,14,23],ut:5,util:[0,1,3,4,6,7,10,14,23,24],ux:18,v0:20,v1:[3,4,14,20],v2:[3,4,14,20],v8ejbfezkui:[],v:[2,4,5,6,11,13,17,24],v_0:11,va:1,val:13,val_accuraci:3,val_loss:4,vale:2,valid:[0,1,4,7,9,10,13,17,20,23,24],validation_batch_s:[],validation_data:3,validation_freq:[],validation_split:4,validation_step:[],valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,23],valuat:9,valueerror:[0,2,23],valy:4,van:[0,23,24],vandenbergh:[8,13],vandermond:[0,23],vanilla:[0,6,11,14,24],vanish:[1,4,13,20],var_x:20,varabl:8,varepsilon:[5,6],varepsilon_:[5,6],varepsilon_i:[5,6],vari:[0,1,3,5,6,10,15,16,23],variabl:[0,1,2,5,6,7,8,10,11,12,13,14,18,23,24],varianc:[0,1,5,7,9,10,11,13,14,17,18,20,23,24],variance_i:[5,11,24],variance_x:[5,11,24],variant:[0,1,6,8,12,13,23,24],variat:[3,4,11,23],varieti:[0,3,12,15,17,23],variou:[1,3,5,6,7,8,9,11,12,13,16,17,18,20,24],vartempvec:[],varvec:[],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13],vec:6,vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17],vector_mean:14,ventur:[0,8,15,17,23],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,22,23,24],verifi:[3,11,18,23],versatil:[8,23],versicolor:[8,9],version:[0,3,4,10,13,14,15,17,18,20,23,24],versu:1,vert:[0,1,5,6,7,8,9,11,13,23,24],vert_1:[5,6,24],vert_2:[5,6,11,24],via:[0,5,6,7,8,9,10,11,12,15,17,18,19,20,21,23,24],vidal:11,video:[0,1,12,17,19,21,23],view:[1,3,5,6,12,13,20,22,23],violat:8,virginica:9,viridi:[0,1,2,3,23],virtual:1,viscos:13,viscou:13,visibledeprecationwarn:2,vision:[0,3,23],visual:[0,3,11,12,15,17,23,24],visualis:1,viz:[6,8,20],vjiseqm2lci:[],vjp:[2,13],vjp_0:2,vjp_0_fun:2,vjp_1:2,vjp_1_fun:2,vjp_argnum:2,vjpfun:2,vjpmaker:2,vjpnode:[2,13],vmap:13,vmax:[1,6],vmc:[],vmin:[1,6],voic:3,volum:[0,3,23],vote:10,voting_clf:10,votingclassifi:10,votingsimpl:10,vrtx:[],vs:[0,4,6,24],vspace:[2,13],vstack:[5,11,18,20,23,24],vt:[5,24],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],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_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:[0,1,3,4,5,6,7,10,11,12,13,14,18,23,24],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],walk:9,walker:20,wang:[0,23],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,20,23,24],warn:[0,1,3,4,8,14,23,24],warrant:6,wast:3,watch:17,wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24],weak:[9,10,14],weather:[1,12],web:[17,19,21,23,24],webpag:23,websit:[6,18,19,23],wedg:[8,20],wednesdai:[21,23],wee:11,week:[0,5,6,7,19,21],weekli:[17,21,22,23],weight:[0,1,2,3,6,7,9,10,12,13,20,24],weigth:2,welcom:[8,17],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,20,22,23,24],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,20,23,24],wessel:[0,23,24],westbi:[],westby:[],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],whenev:[13,20],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],wherea:[6,20],wherein:[1,12],whether:[0,3,5,7,9,20,23],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24],whichev:[1,3],while_p:[3,4,14],white:9,who:[0,19,23],whole:[1,3,4,5,9,11,13],whose:[0,6,10,20,24],whow:[11,24],why:[0,1,3,6,13],wide:[0,1,3,6,7,12,15,17,18,23],widehat:6,width:[0,3,8,9,23],wieringen:[0,23,24],win:10,wind:9,wing:[21,23],winther:2,wiothout:[6,24],wiscons:7,wisconsin:10,wisdom:6,wise:[0,1,5,12,13,24],wish:[0,2,5,7,8,11,13,14,18,23,24],with_std:[0,24],wither:6,within:[0,2,3,4,7,9,12,13,14,20,22,23],withinclust:14,without:[0,1,5,6,8,9,11,12,13,23,24],won:[0,23],wonder:8,woodi:23,word:[0,1,3,4,5,6,7,14,20,23,24],work:[0,1,4,6,7,8,9,13,15,17,19,20,21,23,24],worker:[],workshop:23,world:[0,8,23,24],worldwid:[0,23],wors:[0,1,3,4,6,23],worst:9,worth:9,would:[0,1,3,5,6,7,8,9,10,11,12,13,18,20,23,24],wrap:[3,4,6,14,18,23],wrap_toco:[3,4,14],wrap_util:[2,13],wrapper:[0,23],write:[0,1,2,3,5,6,7,8,12,13,15,16,18,23,24],written:[0,2,3,5,11,12,13,16,17,18,20,23,24],wrong:[1,8],wrongli:10,wrote:[5,11,24],wrt:[2,10,13],wth:[10,13],www:[17,18,22,23],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,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23],x_0:[0,5,11,18,23,24],x_1:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_2:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_3:[8,18,20],x_4:18,x_:[0,2,3,5,6,8,10,11,13,14,18,20,23,24],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,18,20,23,24],x_input:2,x_ix_:[0,23],x_iy_i:8,x_j:[0,2,8,9,12,16,20,24],x_jy_j:8,x_k:[12,14,18,20,24],x_l:20,x_m:[6,12,18,20],x_n:[0,2,3,6,8,11,12,13,18,20,23],x_new:[9,10],x_offset:[6,24],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:[0,1,3,5,6,7,9,10,11,23,24],x_test_own:6,x_test_scal:[0,6,7,9,10,11,24],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,23,24],x_train_mean:[6,24],x_train_own:6,x_train_scal:[0,6,7,9,10,11,24],x_val:1,xarrai:[17,23],xavier:1,xbnew:13,xcode:[0,15,17,23],xdclassiffierconfus:10,xdclassiffierroc:10,xeinsum:[3,4,14],xg_clf:10,xgb:10,xgbclassifi:10,xgboost:9,xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13],xi_1:8,xi_:8,xi_i:8,xk:8,xla:[3,4,13,14,17,23],xla_client:[3,4,14],xla_comput:[3,4,14],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],xlim:[6,10],xm:9,xmesh:13,xnew:[0,13,23],xp:20,xpanda:[0,24],xpd:[5,11,24],xplot:0,xs:9,xscale:[0,24],xsr:9,xt_x:13,xtest:6,xtick:[3,6,8,9],xtrain:6,xu:[0,23],xx:[0,18,23],xy:[0,6,8,18,23],xytext:8,xz:[18,23],y1:4,y2:4,y3:4,y:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],y_0:[0,5,11,18,23,24],y_1:[0,5,8,9,11,13,18,23,24],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:[0,5,8,9,11,18,23,24],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_:[0,1,5,6,10,11,18,23,24],y_data:[0,1,5,6,23,24],y_data_ful:1,y_decis:8,y_fit:[0,24],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,18,23,24],y_if_:10,y_ix_:[0,23],y_ix_i:[7,8,13,24],y_iy_jk:8,y_j:[6,8,12],y_k:12,y_m:18,y_model:[0,4,5,6,23,24],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:[6,24],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,24],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10],y_scaler:6,y_test:[0,1,3,4,5,6,7,9,10,11,23,24],y_test_onehot:1,y_test_predict:[0,24],y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,23,24],y_train_mean:[6,24],y_train_onehot:1,y_train_predict:[0,24],y_train_scal:6,y_val:1,ye:[3,6,7],year:[0,17,23],yet:[0,1,6,8,11,13,23],yhd5w:[],yi:13,yield:[0,2,5,6,8,10,12,13,14,18,20,23],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],ylim:[3,6],ym:9,ymesh:13,yn:0,yo:[8,9,10],yoshua:[1,22],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,20,21,22,24],young:[0,23],your:[1,2,4,5,6,8,11,13,17,18],yourself:[11,13,23],youtu:[],youtub:17,ypred:6,ypredict2:13,ypredict:[0,13,23,24],ypredictlasso:5,ypredictol:[0,5],ypredictown:[6,24],ypredictownridg:6,ypredictridg:[0,5,6],ypredictskl:[6,24],yridg:23,ys:9,ytest:6,ytick:[3,6,8,9],ytild:[0,6,23,24],ytildelasso:5,ytildenp:[0,23,24],ytildeol:[0,5],ytildeownridg:6,ytilderidg:[5,6],ytrain:6,yvqgvcsovpw:[],yx:[18,23],yy:[18,23],yz:[18,23],yzbxji6lgl0:[],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,20,23,24],z_0:[18,23],z_1:[18,23],z_2:[18,23],z_:[1,2,12,18,23],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,24],z_m:1,z_mod:9,z_o:1,z_output:2,zaman:20,zaxi:6,zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],zeros_lik:4,zeroth:24,zfill:4,zip:[2,4,6,13],zl:[],zm_h:[0,23],zn:[0,24],zone:[0,24],zoom:23,zx:[18,23],zy:[18,23],zz:[18,23]},titles:["<span class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Teaching schedule with links to material","<span class=\"section-number\">1. </span>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":[0,15,16,23,24],"10":[],"11":[],"12":[],"13":[],"14":[],"15":[],"16":[],"17":[],"18":[],"19":[],"2":[0,15,16,23,24],"20":[],"2021":[],"2022":[],"2023":21,"21":[],"22":[],"23":[],"24":[],"25":[],"26":[],"27":[],"28":[],"29":[],"3":[0,15,16,23,24],"30":[],"31":24,"34":[15,23],"35":[16,24],"36":[],"37":[],"38":[],"39":[],"4":[0,24],"40":[],"41":[],"4155":[],"42":[],"43":[],"44":[],"45":[],"46":[],"47":[],"5":0,"6":[],"7":[],"8":[],"9":[],"case":[8,10,20,24],"do":[1,23],"final":[12,24],"function":[0,1,6,7,8,10,11,12,13,20,23,24],"import":[5,18,23,24],"new":4,A:[0,1,4,8,9,23],And:[23,24],In:21,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,23,24],To:[23,24],With:4,about:[23,24],activ:[1,12],actual:[],ad:[0,6,23,24],adaboost:10,adagrad:13,adam:13,adapt:10,adjust:1,adversari:4,again:[3,9],ai:23,aim:[8,9,23],aka:[23,24],algebra:[18,23],algorithm:[9,10,11,12,24],algortithm:13,all:8,an:[0,4,10,23],analys:[5,24],analysi:[0,5,6,11,17,20,23,24],analyt:[0,16],ani:13,anoth:9,appli:17,approach:[0,8,14,23],approxim:12,architectur:1,arrai:[18,23],assist:21,august:24,autocorrel:20,autograd:[2,13],automat:13,back:[1,11,12],background:17,bag:10,base:13,basic:[0,5,7,9,10,11,18,24],batch:1,bay:5,befor:11,better:8,bia:6,binari:1,bind:23,binomi:[],bird:10,block:[],boldsymbol:24,boost:10,bootstrap:[6,10],boston:[0,24],breast:1,brief:23,bring:12,build:[1,3,9],c:23,calcul:24,can:23,cancer:[1,7,9,11],cart:9,center:24,central:[13,17,20],chain:12,chang:10,channel:23,chi:[0,23],choos:1,cifar01:3,classic:11,classif:[1,9,10],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,23,24],collect:[1,3],commun:23,compar:[2,10],complet:24,complex:[0,6,24],complic:6,compon:11,comput:9,computerlab:23,con:9,concept:20,conjug:13,continu:[],contn:23,convex:[8,13],convolut:[3,12],correl:[11,24],cost:[1,10,24],cours:[17,22,23],covari:[5,11,20,24],cover:23,cross:6,cumul:[],cython:23,data:[0,1,3,6,7,9,11,15,16,17,20,23,24],dataset:[1,3],deadlin:23,decai:2,decis:[9,10],decomposit:[5,11,18,24],deep:[1,2],defin:[1,23],definit:[],degre:[0,24],demonstr:[],dens:[0,23],deriv:[5,12,24],descent:[2,10,13],design:24,detail:[3,23],develop:1,deviat:[],diagon:11,dice:[],differ:8,differenti:[2,13],diffus:2,dimension:[2,3,8,24],disadvantag:9,discret:20,disguis:[],distribut:[5,20],doe:24,domain:20,down:1,dropout:1,economi:24,element:[0,20,23],elimin:18,energi:23,ensembl:10,entropi:9,environ:[0,15,23],equat:[0,2,12,23,24],error:[0,10,23,24],essenti:23,etc:23,euler:2,evalu:1,event:[],exampl:[0,1,2,3,4,6,7,8,9,10,23,24],exercis:[0,6,15,16,23,24],expect:20,experi:20,explor:[0,15,16,23],exponenti:2,express:[23,24],extrapol:4,extrem:[10,23],ey:10,fall:21,famili:[1,23,24],famou:18,fantast:24,featur:[9,18,24],feed:[1,12],fine:1,first:[4,12,23,24],fit:[0,10,23],fix:24,forc:3,forest:10,format:23,forward:[1,2,12],fourier:3,frank:[6,24],freedom:[0,24],frequent:24,frequentist:[0,23],from:[5,10,12,24],full:2,further:[3,5,24],fy:[],gan:4,gaussian:18,gd:13,gener:[4,9,23],geometr:11,gini:9,good:[0,23],grade:[21,23],gradient:[1,2,10,13],growth:2,ha:17,handl:[18,23,24],have:23,heard:23,hessian:24,hidden:2,hous:[0,24],how:[],hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ii:23,implement:1,implic:[5,24],improv:1,includ:13,increment:11,index:9,inform:21,input:2,instal:[17,23],instructor:21,intercept:24,interpret:[5,11,23,24],introduc:[11,13,24],introduct:[0,6,17,18,23],invers:[5,18],invert:24,iter:10,its:24,jackknif:[],jacobian:24,jax:13,julia:23,jungl:10,kera:[1,3],kernel:[8,11],lagrangian:8,lasso:[5,6,24],last:24,later:[5,24],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,17,23,24],least:[5,6,23,24],lectur:[23,24],level:10,librari:[17,23],likelihood:7,limit:[1,13,20],linear:[0,8,13,18,23,24],link:[5,11,19,22,24],logist:[7,23],loss:24,lu:18,machin:[0,8,13,17,23],mai:23,main:20,make:[0,9,10,15,16,23,24],mani:[10,12],manipul:24,mass:23,materi:[19,23,24],math:[5,24],mathemat:[3,5,8,24],matric:[5,18,23],matrix:[1,5,11,12,18,23,24],matter:[0,23],max:24,mean:[0,23,24],meet:[5,10,20,23,24],mercer:8,mersenn:[],method:[6,9,10,13],min:24,minim:23,ml:23,mlp:12,mnist:[3,4],model:[0,1,4,6,12,23],moment:[],momentum:13,moon:[8,9],more:[3,6,18,23,24],multilay:12,multipl:[1,3],multipli:8,name:[],need:23,network:[1,2,3,4,7,12,23],neural:[1,2,3,4,7,12,23],non:8,normal:[0,1],norwai:[],notat:12,note:24,novemb:[],now:[1,9,13],nuclear:[0,23],nueral:[],numba:23,number:[0,2,20,24],numer:[2,20],numpi:[18,23],object:3,observ:[],obtain:11,octob:[],od:2,off:6,ol:[5,6],one:[2,12],oper:18,optim:[1,8,13,17,23,24],order:13,ordinari:[5,6,23,24],organ:[0,23],oslo:22,other:[4,9,11,12,18,23,24],our:[0,4,5,11,13,23,24],outcom:[17,23],output:2,overarch:[0,4,8,9,23,24],overview:[10,23],own:[0,10,11,15,16,23,24],packag:[18,23],panda:[23,24],paramet:[23,24],part:[13,17,24],partial:2,pass:1,pca:11,pdf:20,perceptron:12,perform:[1,9],period:3,perspect:1,plan:24,point:4,poisson:2,polynomi:3,popul:2,practic:[13,21,23],pre:[1,3],predict:4,preprocess:24,prerequisit:[3,17,23],princip:11,principl:3,pro:9,probabl:[5,20],problem:[1,2,13,23,24],procedur:[9,23],process:[1,3],program:[2,13],project:[6,23],prop:13,propag:[1,12],properti:[5,20,24],pseudo:[],python:[0,9,15,17,18,23],quick:8,r:23,ran0:[],random:[10,11,20],read:[9,23,24],real:[6,23],recip:[],recommend:[23,24],recurr:[4,12],reduc:[0,24],reduct:3,reformul:2,regress:[0,5,6,7,9,10,13,23,24],regular:1,relat:24,relev:[22,24],relu:1,remark:3,remind:[6,8,23],repeat:24,replac:13,requir:[2,17],resampl:6,rescal:6,residu:24,resourc:2,result:24,revisit:13,rewrit:[23,24],ridg:[0,5,6,24],rm:13,rng:[],rule:12,s:[8,10],same:13,sampl:11,scale:24,schedul:[19,23],schemat:9,scheme:2,scienc:23,scikit:[0,1,11,15,16,23,24],second:13,select:[],semest:21,septemb:[],set:[0,2,3,9,12,15,23,24],sgd:13,should:1,similar:13,simpl:[0,4,9,13,23,24],singl:10,singular:[5,11,24],situat:[],size:24,soft:8,softmax:1,softwar:23,solv:2,solver:13,some:[13,18,23,24],specifi:2,split:[0,15,16,23,24],squar:[0,5,6,10,23,24],standard:[13,24],state:[0,23],statement:23,statist:[5,6,17,20,23],steepest:[10,13],still:24,stk3155:[],stochast:[13,20],strongli:23,subtract:24,suggest:23,summari:[21,23],superposit:3,supervis:1,support:8,svd:[5,24],systemat:3,t:24,teach:[19,21],teacher:[21,23],techniqu:[6,11],technolog:17,tensorflow:[1,3],tent:23,test:[0,1,15,16,23,24],textbook:[22,23],thei:23,theorem:[5,8,11,12,20],theori:20,thi:23,think:24,three:[],thursdai:24,tip:13,togeth:12,tool:23,top:1,topic:23,toss:[],toward:11,trade:6,tradeoff:6,train:[0,1,4,15,16,23,24],transform:3,tree:[9,10],tune:1,two:[3,8,17,24],type:[2,4,12,23],uio:23,uncorrel:[],uniform:[],univers:[12,22],unsupervis:14,up:[0,2,9,12,15,23,24],us:[0,1,2,3,7,13,17,23,24],valid:6,valu:[5,11,20,24],variabl:20,varianc:6,variou:[0,15,23],vector:[8,12,18,23,24],view:[0,4,10,24],visual:[1,9],vs:3,wai:9,wave:2,we:23,week:[15,16,23,24],weekli:19,what:[0,23,24],which:1,why:[23,24],wisconsin:7,wrap:24,write:[4,11],x:24,xgboost:10,you:23,your:[0,10,15,16,23,24]}})
\ 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","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","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],"00":[0,1,5,6,9,11,20,23,24],"000":[1,3],"0000":9,"00000":9,"000000":[5,11,23,24],"00000000e":[5,24],"000054":23,"0000e":[],"0001":1,"00010403373827253124":[],"000148":[],"00017471":[],"00018425":[],"00019998":5,"00024087":5,"00025531":[],"00028369228101198006":[],"00029012":5,"0003043256065368937":[],"0003153514830957865":6,"00031535148309580783":6,"0003153514830958081":[],"0003153514830958126":[],"0003153514830958235":[],"00034944":5,"000417932":2,"00042089":5,"000464088":2,"00046714":[],"00050694":5,"00054144":[],"00054272":[],"00057106":[],"00058016":6,"000599":[],"00060705":6,"00060708":[],"00061058":5,"00062582":[],"00062595":6,"00066668":6,"00068734":6,"00068941":[],"00068946":6,"00069103":[],"00073541":5,"00074389":[],"00075315":[],"000755":[],"00075534":[],"00076495":6,"00076905":6,"00076919":[],"00076925":[],"0007698473260556325":6,"0007698473260556334":[],"0007698473260556339":[],"0007698473260556344":6,"0007790285013223805":9,"00079123":[],"00079129":6,"00079130":[],"00079968":5,"00084705":6,"00084711":[],"000854409696581":20,"00085883":[],"00085884":[],"00085889":6,"00087697":6,"00088573":5,"00089459":[],"00092645":[],"00092646":[],"00092647":6,"00096314":5,"001":[1,2,8,13],"00100519":6,"0010479245355337968":[],"0010479245887943952":[],"0010479245926411787":6,"00105081":6,"00106677":5,"00107405":6,"00111756":6,"00112431":[],"0011526":6,"00115999":5,"0011828302640124":[],"00118368":[],"00118504":[],"00118508":6,"00118527":[],"001263":[],"00128479":5,"00128634":[],"00131939":[],"001323":6,"00137818":6,"00137823":[],"00137835":[],"00139198":[],"00139705":5,"00145838":[],"00147197":[],"00149311":6,"00149956":6,"00152117":6,"00152188":[],"00154733":5,"00156376":6,"00156379":[],"00156382":[],"00158723":[],"00162091":18,"00168141":[],"00168251":5,"00174276":6,"00174508":[],"00175331":6,"00183687e":24,"00186347":5,"001880":5,"00191249":[],"001988":[],"00198806":[],"00200":8,"00201915":[],"00202464":[],"00202624":5,"00202756":6,"00207627":[],"00217499":6,"0021877":[],"00220229":[],"00224413":5,"00228741":[],"00228742":6,"00233155":[],"00233441":[],"0023548":6,"002381316302584885":[],"002381316302584886":6,"0023813163025848865":6,"00242999":6,"00243186":6,"0024401":5,"00249435":6,"0025074":[],"0025125":[],"00252344":[],"002526":[],"00266858":2,"00267599":[],"00270244":5,"00274989":6,"00275135":[],"00287154":[],"00289406e":24,"00289724":6,"00293838":5,"002948":[],"0030828":[],"003083":[],"003100":23,"00310113":2,"00312361":6,"00315593":6,"003215318065760509":[],"0032153180657605116":6,"0032153180657605125":[],"00323332":6,"0032542":5,"003301":6,"0033955154592040923":6,"003395515459204093":[],"0033955154592040944":[],"00353823":5,"0035417":[],"00355118":[],"00355175":[],"003620":23,"0036237":6,"0036367":6,"00369758":6,"003704":[],"003717":[],"00373019":[],"003738":[],"003759":[],"003774":[],"003788":[],"0038335":6,"00388494":[],"00390021":[],"003909404072811217":[],"003909404072811221":6,"003909404072811231":[],"00391839":5,"00393128":[],"00397836":[],"0039987":6,"004":5,"00403785":[],"00406231":[],"00407056":[],"004091940707753925":6,"004091940707753948":[],"0040919407077539514":[],"00410387":6,"00410478":6,"004113634617443116":[],"0041136346174431284":[],"004113634617443131":[6,24],"004113634617443135":[],"004113634617443139":[6,24],"00411363461744314":[6,24],"004113634617443141":[],"004113634617443147":[6,24],"00415473":[],"0041559863458613296":6,"004155986345861364":[],"004155986345861374":[],"00415763":[],"00416461":[],"00424909":2,"00424967":6,"00426027":5,"00427039":[],"00431511":[],"00432302":[],"00433417":11,"00437363":[],"00440346":6,"00443743":6,"00444561":[],"00445655":11,"00449439":[],"00452742":[],"004579219539673834":6,"004579219539673836":[],"00458014":18,"00458671":[],"00458878":6,"004610275230656182":6,"004610275230656187":[],"004610275230656294":[],"00462287":6,"00465403":[],"00471782":5,"00472199":6,"00472512":6,"0049544":6,"004999999999999984":[],"00499999999999999":[],"004999999999999994":[],"004999999999999996":0,"005":[],"0050000000000000044":[],"005000000000000011":[],"00506501":[],"00512927":5,"00517114":6,"00523269":[],"00526348":6,"0053018":6,"00537912e":20,"00546438":[],"00548686":[],"0055043":[],"00554552":6,"00556826":6,"0056799":5,"00569317":[],"00577441":[],"00578738":[],"00578776":[],"00579953":6,"00588657":6,"00607783":6,"006158537606875468":[],"006162":6,"00617499":5,"00625843":[],"006275173922218319":[],"00630331":6,"00642221":6,"00645183":[],"00660427":6,"00661104":[],"0066916":[],"00672607":6,"00673393":[],"00673407":6,"00676387":6,"0068011":6,"0068094":[],"00681644":[],"00683748":5,"00683964":6,"00689391":[],"00695357":[],"007012403613997257":[],"007024126888936694":[],"007024126888938144":6,"0070241268889382116":[],"00704468":[],"00706459":[],"00708794":[],"00715835":[],"00719176":6,"0072559952738542694":[],"00727646693":[0,23],"007315":[23,24],"00732273":[],"007334080205654388":[],"00733497":[],"00740173378493795":[],"0074331":5,"00751823":[],"00754532":[],"00758025":[],"00759119":6,"00770648":[],"00779538":[],"00779804":[],"00780259":[],"00781035":[],"007839875253055148":[],"00784393":6,"00791291":[],"00801078":[],"00803064":6,"00808144":[],"0080866254785146":[],"008089688732934681":[],"00813803":6,"00817056":[],"00817631":6,"00820764":[],"00823002":5,"00827728":6,"008278885543361304":[],"00831018":6,"008334493024006613":24,"00834567":6,"00839839":[],"008435888964550838":[],"0084603":[],"00848904":6,"00851638e":[],"008550594684081035":[],"0086649156":[0,23],"008675369724975977":5,"008675369724976501":[],"00867698":[],"00868337":[],"00877989":[],"008818897251043893":[],"00882596":13,"00894639":5,"008947823579448178":5,"00905423":6,"00911938":[],"009163470508352211":[],"009163470508352218":5,"009164545680330616":6,"00917248":6,"00934327e":24,"00934499":6,"00934728":[],"00943261":[],"009450756365829578":[],"00950269957492606":[],"0096208":6,"00965032":[],"0097018":[],"009710035292693498":24,"00990475":5,"00992331":6,"00996754":6,"009981":[],"00998135":[],"00it":6,"01":[0,1,2,5,6,9,11,13,20,22,23,24],"010018312644139205":[],"010018312644139219":6,"010018312644139347":[],"01006893":[],"0100706":6,"010154":[],"01023891":[],"010239":[],"01029589":[],"010331721306655144":[],"01033172130665515":[],"010331721306655165":6,"01037947":[],"010516485576646504":6,"010516485576646513":[],"010516485576652856":[],"010530":[],"01053024":[],"01056549":[],"01066519":6,"01073921":[],"010751622516868333":[],"01076611":5,"010902":23,"0110":20,"0110407067093945":[],"01104071":[],"011076219011339788":[],"01107621901137465":[],"01107621901137467":6,"011225":2,"0113104":6,"01133171":[],"01135107":[],"0113975":[],"01152107":[],"01176895":[],"01179792":6,"01191824":5,"01199624e":[],"01200342":[],"01206708":[],"012073649439965807":[],"012073649469946107":6,"012073649472576395":[],"01207435":[],"01212754811385597":[],"01219292":6,"01222822":24,"01223198":6,"01231917":6,"0123679":[],"01242273":[],"01242803":[],"01244295e":20,"01247056":13,"01248731":[],"012501013881387798":24,"01256189":[],"01257962":[],"012580":[],"012633802944855959":[],"01265755":24,"012658":24,"01285424":[],"01290947":6,"01295356":5,"013121573975499602":[],"013121573975499604":[],"01312157406137079":[],"013121574061370796":[],"013121574062587286":6,"01318643":6,"01323884":[],"01326608":[],"01347916":6,"01348565":6,"013537225644261203":[],"0136671":[],"01367553":6,"01381723":[],"01397146":6,"01405935":6,"01406736":[],"01416528":6,"014209325470380275":[],"01422494":[],"01422853":18,"01433809":5,"014436800088896274":[],"014436800088896381":6,"014436800088969727":[],"01449782":6,"01458337":6,"014586":24,"01458611":24,"014599964106338128":[],"0146081":6,"01463049":6,"01471878":[],"01479194":[],"01494533":[],"01497781":[],"015072388895177088":[],"0150723888951771":6,"015072388895177109":[],"015072388895177157":6,"015072388895177239":[],"01509543":[],"01510929":13,"01530715721129232":[],"01531845":6,"01538461538462":[],"01539":[],"01542944":[],"01549377":6,"01550656":[],"01551946":[],"01558197":5,"01558461":[],"0156548":[],"01572164":[],"01574091":[],"01574375":[],"01586048":[],"01588614":[],"01588619":[],"01591355407242949":[],"01614046":[],"01619802":[],"016285782696017055":[],"016285782696017142":6,"016285782696075054":[],"01631138":[],"01633913":6,"01640891":6,"0164286":[],"01646892":23,"01654471":[],"01655318":6,"0165866":[],"016587414993037307":[],"016587414993045335":6,"016587414993045405":[],"01678286":[],"01691985":6,"01693":[],"01693278":[],"0169643":5,"01708781":6,"01708852":6,"01713366":6,"0171347":[],"01724499":5,"01725808":[],"01735584819559184":[],"017355848195591845":[],"01735584819559331":6,"017355848195593312":6,"017355848195593354":[],"01742183":[],"01751529":[],"01756972":[],"01761413":[],"017665":5,"01770163":[],"01783414e":24,"01788423":[],"01799917e":[],"01816821":[],"01817152":[],"01817919":[],"018232":[23,24],"01831036e":[],"01831130e":[],"01831200e":[],"01831207e":6,"01831251e":6,"0183718":[],"01840062":[],"01844381":[],"01852793":[],"01866537":6,"01869785e":[],"01871582":[],"01873344":11,"01873869":5,"01885351":[],"0189082":[],"01898855":6,"01905883":6,"01907538":[],"01908936":6,"01923991":[],"0193453":[],"01943082":[],"01944669":[],"01957153":[],"019587":[],"01960258":[],"01963611":6,"01969145":6,"01975416527168255":6,"019754165271682844":[],"01975416527179247":[],"01975848":6,"01990155":[],"02":[0,4,6,7,12,20,23,24],"02008059":[],"0202458":[],"020246":[],"02024962":6,"0202731":[],"02035804":[],"02054837e":6,"02058701":[],"02068067":6,"02073509":5,"02082761":[],"02086933":[],"02090061":[],"0209518407597062":[],"02098261":6,"0211496":[],"02123176":6,"021250026482402":[],"02129803":[],"0214539":[],"02158709":13,"02159270458799264":[],"021592704587992645":[],"021592704588021164":[],"021592704588021167":[],"021592704588021174":6,"021592704588021178":6,"02160095e":[],"02166269":[],"02195273":[],"02198702e":6,"02198703e":6,"02200044":[],"022022882954618364":[],"02206138":[],"022075":[],"02207532":[],"02208512":6,"02212776":[],"02212893":[],"02226654":[],"02228115":6,"02229529":6,"02252765":5,"022556":[],"02255619":[],"02263868":[],"02298589":[],"02299949826036602":[],"022999498260366198":6,"0229994982603662":[],"02335522":[],"02344111":[],"0234505":[],"02348765":6,"02354476":[],"023545":[],"02365049":6,"02376036":[],"02377668":18,"02383034":[],"02401344":[],"024023115996453476":[],"02408959":[],"02421521":[],"02422503":[],"02430520e":24,"02442398":[],"0245528":6,"02492265":5,"02493054":[],"02498832":6,"02503753":6,"02511518":6,"02521597":[],"02522069":6,"02539993":[],"02541796":[],"02551463":[],"02566258":[],"025709":[11,24],"02586427":6,"02596838":[],"0260906":6,"02612167":[],"02625193":8,"02625928":[],"026408391362671896":[],"02642055e":[],"02649453":[],"026605727637176654":[],"026605727637184554":6,"026605727637184558":6,"02660572763718461":[],"026605727637184613":[],"02697521163514974":[],"026986":[],"02698605":[],"02699523":18,"02701924":[],"02707227":5,"02708158":[],"02712723":[],"02723445":6,"02724253":[],"02747522":[],"027609773491022314":[],"02760977349102238":6,"027609773491022387":[],"027609773491022394":6,"027609773491022407":[],"02762405215108776":[],"02766489e":20,"02766981":[],"02783644":23,"02786488":[],"027865":[],"02803041":[],"02808201":[],"02818883":[],"02840224":[],"02857":4,"02862254":[],"02868501":[],"02900131":[],"02917662":[],"029177":[],"02917931":[],"02926396":[],"02928941":[],"029483":5,"02951554e":[],"029613363972682966":[],"02970592":[],"02971158":[],"029733":[23,24],"02976145":6,"02979908":[],"02994311":5,"02f":6,"02it":[],"03":[1,6,24],"03026672":[],"03032441e":6,"030407120354722424":[],"03056589":[],"030566":[],"030693":[],"03069324":[],"03071040e":[],"03076923076924":[],"03077640549":4,"03078597":[],"03079528":[],"03080664":[],"03099776":5,"031":5,"03168642":[],"0317159":[],"031846":[],"03184647":[],"03187054":[],"03187339273559067":[],"03196357":6,"032":6,"03206303":[],"03232013":[],"03232719":[],"03235599":[],"03251863":5,"03255258":[],"03256632e":1,"03265139":23,"03267527":6,"03278964":[],"032790":[],"03279636":6,"033":6,"0330308045180234":[],"0330308045183163":[],"0330308045183219":6,"0330308045188872":6,"0330308045190182":[],"03308408":5,"03324117":[],"03326365":[],"033264":[],"03352725":[],"033657685071527485":[],"033657685071527624":[],"03365768507152769":6,"03371334":[],"03382304823545749":[],"034047":23,"03423556":[],"03437582":[],"03447512":6,"034557":24,"0348171":[],"03483677":23,"03500198":[],"03509912":[],"03510756":[],"03523311":[],"03533092":[],"03536673":[],"03562355":6,"03568439":6,"03570747":[],"03583342":[],"0358909447132981":[],"035909":23,"0359565":5,"03610331":[],"03630548":6,"03634298":[],"03707133":11,"03724642":[],"03739357":[],"03739417":[],"037559":[],"03755944":[],"03761519":[],"03781367141738885":[],"03781367141738886":[],"037813671417388985":[],"03781367141738899":[],"03781367141738902":6,"03791967":[],"03794112":[],"03807267":[],"038073":[],"03814292":6,"03815288":6,"038300":[11,24],"03850557":[],"038506":[],"03893106":[],"039039":5,"03932541e":[],"03981057":[],"03995478":[],"0399676689527966":6,"0399676689527968":[],"0399676689527975":6,"04":[1,6,11,24],"040102":5,"04010697":6,"04028979":[],"04046799":[],"04063602":6,"04075841e":[],"040863":11,"04086326":11,"04087592":[],"041":9,"04100738":[],"04101587":[],"041148729430502":[],"041148729430523":6,"0411487294305246":[],"0411487294305746":[],"041148729430595":6,"04120281":[],"04179719":[],"041797190646905":[],"04184782":24,"04193203":24,"04208001":[],"04220758":6,"04234339":18,"042708":[],"04279651270127165":[],"04284519":[],"043":9,"04315108":5,"04331431":[],"0433816":[],"04346721":5,"04355837":6,"04362":9,"04368707":[],"0437499":2,"04389027":6,"043927769551648":[],"04413933503955871":[],"04419696":[],"04423486":6,"04426744e":24,"04426816":[],"044334":[23,24],"0443659":[],"0444119":[],"044613":6,"04483457":[],"04495095":[],"04496448":[],"04516608":[],"04537385":6,"04543942":6,"04554454":[],"045603":[],"04566964":6,"04573057":[],"04573105":[],"0458":9,"0459682":[],"04615384615386":[],"04621521":[],"04637311":[],"04648335":5,"046491":[],"04649105":[],"0466":[],"04670006":[],"04673082":[],"046731":[],"046785461905835435":[],"04678736":[],"04683565":5,"04735806":[],"047737":[],"04775904":[],"04784395":6,"04785727":[],"04787099":[],"047953":[],"04818727730430286":6,"04818727730430296":[],"048187277304303056":[],"048547423739546604":20,"048653428302840175":[],"048762":[],"048818":[],"048920":23,"04892055":6,"04909093":6,"04912436":6,"04930820e":[],"049318":[],"049462":23,"0495569966278238":[],"0495569966278269":6,"0495569966278295":6,"0495569966278315":[],"04965397e":20,"049747":[],"049858":[],"0499586":[],"049960":[],"04996008":[],"04it":[],"05":[1,4,6,13,24],"05004617":[],"05009826":6,"05087958":[],"050910":[],"05100875":6,"051043":[],"051391":[],"051418":5,"051451":[],"05150928":[],"051649":[11,24],"051662":[],"0517473":5,"052206":[],"052227":[],"05227921801205679":6,"05227921801205691":[],"05227921801205692":[],"052279218012057004":[],"052305":24,"052330":[],"05236797e":24,"052372":[],"0525221":18,"05255759":[],"052581":[],"05263":9,"05268304":[],"0527437":13,"05290417684691035":[],"05302":9,"053417":24,"0536097":[],"05363779":18,"05364854":8,"05367466":[],"053678":[],"05383795":6,"053849":5,"05402365":[],"054182":[],"054244842835462305":20,"054305":[],"054335":[],"054340":[],"05434571":[],"054411":[],"05447415":6,"054491":[],"054582":[],"054585":[],"054617":24,"054650":[],"054655":24,"054774":[],"054785":[],"05483267":[],"05491655":[],"054963":[],"05505310046362":[],"05505310046363":2,"055137":[],"055153":[],"055302":[],"055320":[],"05533":9,"055337":[],"055344":[],"055369":[],"055676":[23,24],"055684":[],"055734":24,"055859":[],"05587489":11,"055875":11,"055910":24,"055958":[],"055987":24,"056127":[],"056131":[],"05614483":5,"056165":[],"056169":[],"05622775":[],"05623":9,"056233":[],"056235":[],"05635863":18,"056468":[],"05648":9,"05651951":6,"056528":[],"05667":9,"056683":24,"05698425":[],"057088709963182":[],"057163681553428394":[],"05716368155342902":6,"05716368155351588":[],"0572":[],"057300":24,"057393":24,"057418":24,"057457":24,"057469":[],"05756733":[],"057587":[],"057588":[],"057648":[],"057686":[],"057722":24,"057835":24,"05785343":6,"057877":[],"05789007":6,"057899":[],"05796251":6,"058033":[],"058035":[],"058038":[],"058040":[],"058058":[],"05807125":6,"058088":[],"05833369":[],"058343":[],"05834332":[],"058416":[],"05850532":[],"058552":24,"05855607":[],"058585":[],"058596":[],"058645":24,"058663":[],"058715":[],"058732":[],"058740":[],"058816":[],"05883":9,"05884":9,"058854":24,"058890":[],"05892262":[],"058948":[],"058952":24,"058955":[],"058957":[],"058974":[],"058996":24,"059013":[],"059031":24,"059180":[],"059272":[],"059278":[],"059294":[],"059378":[],"059437":[],"059601":[],"059783":[],"059795":[],"059807":24,"059824":[],"059933":[],"059951":24,"059952":[],"05999":9,"059993":24,"06":[6,24],"060016":[],"060048":[],"060080":[],"060083":24,"06008452":[],"060146":[],"060183":[],"06020587":6,"06021285":[],"060213":[],"060228":[],"060254":24,"060288":[],"060309":[],"06031681":[],"060349":23,"06038053":[],"06043581":6,"060502":[],"060507":[],"060550":[],"060649":[],"060655":[],"060716":24,"060756":24,"060781":[],"060841":[],"060863":[],"060872":24,"060875":[],"060963":[],"061025":[],"061028":[],"061048":[],"061054":[],"061133":[],"061144":[],"061149":[],"061163":24,"061188":[],"061209":[],"06121384":[],"061272":[],"061297":[],"061308":[],"061321":[],"061359":24,"06136773":23,"061390":[],"061443":24,"061452":24,"06150169":[],"061502":[],"061505":[],"061509":[],"061538":[],"061604":[],"06160438":[],"061614":24,"061646":[],"061679":23,"061685":[],"06168748":[],"061701":[],"061716":[],"061725":[],"061745":[],"061765":[],"061821":[],"061898":[],"061917":[],"061923":[],"061966":[],"06200174":5,"062016":24,"062061":[],"062062":[],"062064":[],"06208238634231944":[],"062082386342319454":6,"06208238634231953":[],"062089":[],"062097":[],"062136":[],"062142":[],"062195":[],"062220":[],"062292565":4,"062294":[],"062305":[],"062333":[],"062337":24,"062370":[],"062391":[],"062409":[],"062411":[],"062435":[],"062451":[],"062498":[],"062517":[],"062534":[],"062551":[],"062563":[],"062599":24,"0626202708457115":18,"062624":24,"062640":[],"062665":[],"062676":[],"062706":[],"062719":[],"062773":[],"062777":[],"062827":[],"062834":[],"062874":24,"06287717":[],"062881":[],"062884":[],"062888":[],"062920":5,"06292011":5,"062983":[],"063014":[],"063019":24,"063024":[],"063052":[],"063061":24,"063078":[],"063080":24,"063084":[],"063125":[],"063173":[],"063192":[],"06319374":[],"063241":[],"063250":[],"063260":24,"063287":[],"063343":[],"063364":[],"063371":[],"063375":[],"063401":[],"063443":23,"063493":[],"063513":[],"063524":[],"063612":[],"063619":[],"063631":[],"063653":24,"063657":[],"063724":23,"063752":[],"063781":[],"063851":[],"063857":[],"063872":[],"063874":[],"06388888888888888":[],"063894":24,"063977":[],"063979":[],"064041":[],"064052":[],"064062":[],"064074":24,"064081":[],"064108":[],"064110":[],"064184":[],"064274":[],"064284":[],"06432223":[],"064329":[],"064384":[],"064388":[],"064431":[],"06444":9,"064442":[],"064459":[],"064461":[],"064469":[],"064483":[],"064501":24,"06453579006728315":[],"06453579006728322":6,"064538":[],"064573":[],"064604":[],"064606":24,"064609":24,"064618":[],"064623":[],"064634":[],"064637":[],"064648":[],"064658":[],"064681":[],"064684":[],"064699":24,"064753":[],"064787":[],"064793":24,"064823":[],"064838":[],"064859":[],"06486061":23,"064880":[],"064896":[],"06491736":6,"064918":[],"064931":[],"064937":[],"064964":[],"06497046":[],"064974":[],"065020":[],"065026":23,"065032":[],"065077":24,"065095":[],"065106":[],"065110":[],"065118":[],"065165":[],"065168":[],"065183":[],"065228":[],"065249":[],"065252":[],"065282":[],"065314":[],"065348":[],"065349":[],"065378":24,"06538944":23,"065390":24,"065410":24,"06547790180152352":6,"06547790180152353":[],"06547790180152355":6,"06547790180152357":[],"06547790180152363":[],"065514":[],"065537":[],"065557":[],"065575":[],"065641":[],"065657":[],"065680":[],"065730":[],"065761":[],"065796":[],"065826":[],"065846":[],"065869":[],"065892":[],"065942":[],"065973":[],"065974":[],"065983":[],"06602663":[],"066051":[],"066056":[],"066064":[],"066066":24,"066093":[],"066110":[],"066189":[],"066194":[],"066220":[],"066223":[],"066228":[],"066241":[],"066270":[],"066284":[],"066309":[],"066340":[],"066348":[],"066356":[],"06637":9,"066388":[],"066449":[],"066474":24,"066500":24,"066528":[],"066553":[],"066558":[],"066569":[],"066580":[],"066590":[],"066609":[],"066612":24,"06662062":[],"066647":24,"066651":[],"066654":[],"066670":[],"066675":[],"0666807":2,"066714":[],"066729":[],"066741":[],"066753":[],"066787":24,"066789":[],"066808":[],"066828":[],"066837":[11,24],"066850":[],"066854":24,"066870":[],"066873":[],"066919":[],"066934":[],"06695337":[],"066954":[],"066999":24,"067011":[],"067079":[],"067110":[],"067141":[],"067162":[],"067191":[],"067213":[],"067236":[],"067240":[],"06724062":5,"067282":[],"067392":[],"067402":[],"067432":[],"067437":[],"067443":[],"067449":[],"067484":[],"067499":[],"067506":[],"067525":[],"067527":[],"067544":[],"067547":[],"067560":[],"067585":[],"067597":[],"067599":[],"067612":[],"067615":[],"067620":[],"067622":[],"067637":24,"067675":[],"067693":[],"067707":24,"067709":[],"067710":[],"067712":[],"067714":[],"067719":[],"067720":[],"067723":[],"067767":[],"067769":[],"067775":[],"067787":[],"067854":[],"067856":[],"067864":[],"06786925114666595":[],"067907":[],"067908":[],"067934":[],"067956":[],"068019":[],"068059":[],"068075":[],"068087":[],"068093":[],"068094":[],"068098":[],"068103":[],"068104":[],"068110":[],"068120":[],"068136":[],"068197":[],"068210":[],"068261":[],"068264":24,"068307":24,"068318":[],"068345":[],"068358":[],"068363":[],"068376":[],"068391":[],"068417":[],"068441":24,"06844519414009438":[],"06844519414009442":[],"06844519414009444":6,"06844519414009445":6,"068461":[],"068500":[],"068505":[],"068525":[],"068538":[],"068541":[],"068573":[],"06858699":[],"068593":[],"068608":[],"068619":[],"068629":24,"068642":[],"068654":[],"068659":[],"068664":[],"068689":[],"068724":[],"068727":24,"068735":[],"068776":[],"068799":[],"068806":[],"068809":[],"068831":[],"068841":[],"068852":[],"068867":[],"068906":24,"068920":[],"068937":[],"068953":[],"068965":[],"068991":[],"068992":[],"068999":[],"069010":[],"069015":[],"069028":24,"069036":[],"069044":[],"069065":[],"069085":[],"069091":[],"069181":[],"069187":[],"069202":[],"069231":[],"069242":[],"069268":[],"069275":[],"069276":[],"069281":[],"069285":[],"069355":[],"069386":[],"069408":[],"069409":[],"069421":[],"06942103":[],"069436":[],"069441":[],"069452":24,"069454":[],"069455":[],"069465":[],"069475":[],"069476":[],"069494":[],"069506":[],"069534":[],"069578":[],"069584":[23,24],"069626":[],"069640":[],"069651":[],"069654":[],"069667":[],"069672":[],"069681":[],"069685":[],"06969872":[],"069748":[],"069754":[],"069796":[],"069801":[],"069838":[],"069847":[],"069877":[],"069884":[],"069888":[],"069903":[],"069907":[],"069912":[],"069977":[],"06it":6,"07":[6,24],"070018":[],"070028":[],"070034":[],"070043":[23,24],"070056":[],"070071":[],"070074":[],"070105":[],"070146":24,"070150":[],"07016":9,"070163":[],"07017":9,"07019610e":20,"070213":24,"070216":[],"070222":[],"070276":[],"070288":[],"070333":[],"070339":[],"070343":[],"070370":[],"070379":[],"07039":9,"070419":[],"070428":[],"070429":[],"070443":[],"070450":[],"070453":[],"070457":24,"070466":[],"070491":[],"070492":[],"070494":[],"070518":[],"070562":5,"070576":[],"070582":24,"070585":[],"070612":[],"070618":[],"07062318":6,"070630":[],"070635":[],"070737":24,"070775":[],"070794":5,"070810":[],"070835":[],"070860":[],"070871":[],"07087395e":24,"070874":[],"070887":[],"070889":[11,24],"070911":[],"07093644":[],"070945":[],"070950":[],"070959":[],"070961":[],"070972":[],"070986":24,"07099747918547346":[],"071003":[],"071009":[],"071022":[],"071044":[],"071051":5,"071071":5,"071084":5,"071086":[],"071106":[],"071112":[],"071115":[],"071120":[],"071136":[],"07115":9,"071164":5,"071239":[],"071243":[],"071284":5,"07128434":20,"07129539":[],"0712953943627344":[],"0713":[0,23],"071326":[],"071329":[],"071387":[],"071388":[],"071392":5,"071394":[],"071421":[],"071438":5,"07143876":[],"071441":[],"071445":[],"07145103":11,"071460":[],"071467":[],"071476":[],"071480":[],"0714956":[],"071505":[],"071510":[],"071515":[],"071523":[],"071529":[],"071547":[],"071552":[],"071569":[],"071585":[],"07160048164232467":[],"07160048164232538":6,"0716004816423254":6,"07160048164248561":[],"071604":[],"071614":[],"071632":[],"071641":[],"071666":[],"071698":[],"071705":[],"071741":[],"071751":5,"071767":[],"071804":[],"071836":[],"071852":[],"071897":[],"071901":[],"071906":[],"071908":[],"071920625289855":[],"071921":[],"071922":[],"071935":[],"071942":5,"071946":[],"071949":[],"07195822":23,"071991":[],"072000":24,"072008":[],"072011":[],"07201957":[],"072021":[],"072041":[],"072084":[],"072091":[],"072111":24,"07212695":[],"072127":[],"072132":24,"072145":[],"072147":[],"072150":[],"072184":[],"072198":[],"072216":[],"072222":[],"072240":[],"072242":[],"072290":[],"072342":[],"072348":[],"072352":[],"072361":[],"072364":[],"072370":[],"072435":[],"072442":[],"072452":[],"072471":[],"072476":24,"072483":[],"072492":[],"072521":[],"072523":[],"072529":[],"072530":[],"072554":[],"072558":[],"072569":[],"072575":[],"072597":[],"072598":[],"072611":[],"072617":[],"072618":5,"072620":[],"072621":24,"07264063e":20,"072647":[],"072651":[],"072652":[],"072750":[],"072751":[],"072783":[],"072798":[],"072813":[],"072824":[],"072828":[],"072839":[],"07285":3,"0728785":[],"072898":[],"07291729":[],"072918":[],"072928":[],"072955":[],"072958":[],"072970":[],"072974":[],"07297557":[],"072994":[],"073013":[],"073016":[],"073045":[],"073052":[],"073062":[],"073080":[],"073105":[],"073120":[],"073134":[],"073136":[],"073159":[],"073183":[],"07319349":[],"073206":[],"073225":[],"073230":[],"073238":[],"073280":[],"073299":[],"073303":[],"073320":[],"073325":5,"073344":11,"073362":[],"073363":11,"073368":[],"073369":[],"07337358":[],"073374":[],"073380":[],"073388":5,"073391":[],"073400":[],"073423":[],"073433":[],"073436":[],"073449":[],"07345504":[],"073477":11,"073489":[],"073506":[],"073531":[],"073548":[],"073567":[],"073575":[],"073583":[],"073597":[],"073598":[11,24],"073601":[],"073629":[],"073644":24,"073647":[],"073657":[],"073668":[],"073684":11,"073695":[],"073699":[],"073716":[],"073719":[],"073750":[],"073761":[],"073768":[],"073777":[],"073810":[],"073811":[],"073816":[],"073827":[],"073831":[],"073904":[],"073907":[],"073925":[],"073938":[],"073949":[],"073959":[],"073985":11,"0739975":[],"074006":[],"074019":[],"074034":[],"074050":[],"074061":5,"074067":[11,24],"074084":24,"074111":[],"07413172":[],"074144":[],"074149":[],"074180":11,"074183":[],"074187":5,"074210":24,"07421084":5,"074237":[],"074258":[],"074276":[],"074323":24,"074336":[],"074346":[],"074375":[],"074401":[],"074418":[],"074420":[],"074453":11,"074480":[],"074488":[],"074513":[],"074530":[],"074552":[],"07456491":5,"074569":[],"074573":[],"074592":[],"074666":[],"074684":[],"074693":[],"074708":[],"074715":[],"074729":[],"074743":[],"074760":[],"074763":[],"074773":[],"074818":5,"074819":11,"074833":[],"074838":[],"074839":[],"074845":[],"074881":[],"074905":[],"07490892":6,"074922":[],"074945":[],"074969":[],"074980":[],"074984":[],"074986":[],"074992":[],"075012":[],"075014":5,"075017":[],"075020":[],"075028":[],"075043":[],"075058":[],"075061":[],"075079":5,"075102":[],"075136":[],"075138":[],"075145":[],"075149":[],"075181":[],"075188":[],"075192":[],"075195":[],"075201":[],"075222":[],"075227":[],"075228":[],"075241":[],"075262":[],"075277":11,"075302":[],"07532297":[],"075335":[],"075356":[],"07535606":[],"075389":[],"075433":[],"075498":[],"07557024":[],"075573":[],"075586":[],"075594":[],"075612":[],"075618":[],"075629":[],"07565581":23,"075728":[],"075760":[],"075770":[],"075797":[],"075816":24,"075820":[],"075829":11,"075840":[],"075863":5,"075889":24,"075899":[],"075959":[],"075982":[],"075987":[],"075996":5,"076022":[],"076055":[],"076066":[],"076079":[],"07608141":[],"076096":[],"076097":[],"076121":[],"076130":[],"076150":24,"076173":[],"076204":[],"076216":[],"076248":[],"076264":[],"076270":[],"076282":[],"076306":[],"076315":[],"076329":[],"076338":[],"076349":[],"076389":[],"0764924":6,"076518":[],"076525":[],"076532":[],"07656896":[],"076588":[],"076589":[],"076604":[],"076619":[],"076628":[],"076632":[],"076637":[],"076665":[],"076697":[],"076726":[],"076729":[],"076760":[],"07678":9,"076780":[],"076783":[],"076795":[],"076804":[],"076821":[],"076843":[],"076862":[],"076866":[],"076886":[],"076895":[],"076905":[],"07692307692307693":9,"076927":[],"076935":5,"076938":[11,24],"076942":[],"076955":[],"076958":[],"076990":[],"077003":[],"077004":5,"077009":[],"077013":[],"077015":[],"077022":[],"077033":[],"077062":[],"077079":5,"077083":[],"0771079":24,"077108":[],"077131":[],"077140":[],"077144":[],"077158":[],"077164":[],"077168":24,"077200":[],"077203":[],"077211":[],"077219":[],"077228":[],"077291":[],"077338":[],"077349":[],"07735703":[],"077359":[],"077372":[],"077375":[],"077397":11,"077402":[],"077419":[],"077425":[],"077428":[],"077452":[],"077460":24,"077467":[],"077499":[],"077511":[],"077604":5,"077607":[],"077620":[],"077644":[],"077688":5,"077706":[],"077711":[],"077724":[],"07777777777777778":1,"077785":[],"077793":[],"077822":[],"077846":[],"07789772e":24,"077921":[],"077930":[],"077948":[],"077949":11,"077978":[],"077986":[],"078033":5,"078040":[],"078042":[],"078082":[],"078101":[],"078110":24,"078143":[],"078157":[],"078158":[],"078165":5,"078167":[],"0782":[],"07820":9,"078211":[],"078253":[],"078254":[],"078269":[],"078293":5,"07829878":18,"078299":[],"078300":[],"078314":[],"078323":[],"078326":5,"078336":24,"078432":[],"078436":[],"07844310540708652":[],"078484":[],"078508":[],"078540":24,"078542":[],"078548":[],"07858099596662704":[],"078582":11,"078587":[],"078609":[],"07864":9,"078646":[],"078651":[],"078652":11,"078667":[],"078672":[],"078697":[],"078704":[],"078707":[],"07871":9,"078710":[],"078719":[],"078725":[],"078749":[],"078759":5,"078768":[],"078771":[],"078776":[],"07878641":[],"078795":[],"078812":[],"078845":[],"078860":[],"078880":5,"078899":[],"078908":[],"078911":[],"078942":[],"078962":[],"078974":24,"07897647347778382":[],"07898165660100093":[],"078986":24,"078992":[],"078999":5,"079001":[],"079021":[],"07903849":[],"079043":5,"079056":[],"079110":[],"079142":[],"079152":5,"079157":[],"079158":[],"079179":[],"079214":[],"079218":[],"079224":[],"079225":[],"079242":[],"079260":[],"079264":[],"079268":[],"079273":[],"079278":[],"079281":[],"079298":11,"079306":[],"079347":[],"079379":5,"079383":[],"079389":[],"079405":[],"079406":[],"079424":[],"07943621":[],"079437":11,"079438":[],"07944154":[18,23],"079443":[],"079447":[],"079448":5,"079476":[],"079483":[],"079486":[],"079489":[],"079493":[],"079495":[],"079499":5,"0795449":[],"079553":[],"079558":[],"079580":5,"079609":[],"079618":[],"079622":[],"079631":[],"079676":[],"079680":5,"07968918676726029":[],"0796891867672603":6,"079704":5,"079719":[],"079729":[],"079741":5,"079745":5,"079819":[],"079823":[],"079827":5,"079839":[],"079847":[],"079882":[],"079893":[],"07989327":[],"079901":[],"079944":[],"079946":24,"079948":[],"07995375":23,"079991":[],"07999999999998":[],"07e":[],"08":[9,20,24],"080026":[],"080048":5,"080056":[],"080060":5,"080061":[],"080070":5,"080098":11,"080106":[],"080120":[],"080137":[],"080200":[],"080249":5,"080256":[],"080288":[],"080295":5,"080297":[],"080305":11,"080312":[],"080319":[],"080332":[],"080334":[],"080343":[],"080347":[],"080370":[],"080374":11,"080395":5,"080406":[],"080407":[],"080410":[],"08041015":[],"080434":5,"08043851":5,"080455":[],"080479":[],"080502":[],"080517":[],"080518":5,"080548":5,"080555":[],"080571":[],"080582":[],"080588":[],"080593":[],"080616":24,"080630":[],"080635":5,"080641":5,"080642":[],"080647":[],"08066746e":24,"080699":[],"080706":[],"080738":[],"080764":24,"080780":5,"080801":[],"080821":[],"080839":5,"08084392":[],"080847":[],"08085812":[],"080916":[],"080922":[],"080973":[],"080984":[],"080998":[],"081007":5,"081022":[],"081046":[],"081072":[],"081140":[],"081144":[],"081163":[],"081194":5,"081198":[],"081211":[],"081216":[],"081233":[],"081253":[],"081258":11,"081262":[],"081276":24,"08131003":6,"081311":[],"081321":[],"081334":[],"081343":[],"081357":[],"081388":[],"081395":11,"081396":[],"081431":[],"081468":[],"081471":5,"0814721":[],"081481":5,"081483":[],"081503":[],"081520":[],"081533":5,"081540":[],"081547":[],"081559":5,"08156108":6,"081576":[],"081613":[],"081620":11,"081637":[],"08165104":24,"081655":24,"081707":[],"081773":[],"0818000034712947":20,"081832":[],"081837":[],"081848":[],"08188077":[],"081881":[],"081932":[],"081953":[],"081989":[],"081990":[],"082014":[],"082027":[],"082040":11,"082089":5,"082105":11,"082122":[],"082139":5,"082140":[],"082145":11,"082158":11,"082166":11,"082174":[],"082183":[],"082189":[],"082204":[],"082267":[],"082282":[],"082285":11,"082286":[],"082288":[],"082295":[],"0823185":[],"082339":[],"082424":[],"082426":[],"082431":[],"082451":[],"082501":11,"082503":[],"082509":5,"08251519":6,"082536":[],"082553":11,"082569":11,"0825971":23,"082620":[],"082642":[],"082653":24,"082683":[],"08271198519070039":[],"082716":[],"082756":11,"082779":11,"082786":[],"08281969e":20,"082839":5,"082846":[],"082852":[],"082874":[],"082875":23,"082877":11,"082896":[],"082900":[],"082921":[],"082939":[],"082990":[],"08299273e":6,"083000":[],"083015":[],"083021":[],"083026":[],"083051":11,"083053":[],"083087":[],"083102":[],"083111":11,"083151":[],"083152":[],"083159":11,"08318298e":1,"083217":[],"083220":[],"08322642264994606":[],"083227":[],"083242":[],"083251":[],"083272":[],"083276":[],"08328216846752691":[],"083300":[],"083320":[],"083321":11,"08333333333333333":[1,9],"083348":11,"083361":[],"08336233266":4,"083380":[],"083399":[],"083404":[],"083417":[],"08343519179767796":[],"083441":[],"083446":11,"083485":11,"083495":[],"083506":[],"083527":[23,24],"08352721390288316":23,"083555":11,"08356774001062162":[],"083573":[],"083579":[],"083600":[],"083627":11,"083629":[],"08363087":[],"083648":[],"083681":[],"083685":11,"083691":11,"083692":[],"083694":[],"08370888":[],"08373167e":[],"08374032367704139":11,"08376632":[6,24],"083766322923899":[6,24],"0837663229239016":[],"0837663229239025":[],"0837663229239043":[6,24],"083772":5,"083779":[],"083799":[],"083829":[],"083832":11,"083849":[],"083859":11,"083899":[],"083913":[],"083935":[],"083977":[],"084000":[],"084006":[],"084008":[],"084017":[],"084018":[],"084019":[],"084024":[],"084032":[],"084076":[11,24],"084086":[],"084092":[],"084096":[],"084101":[],"084107":[],"084124":11,"084147":[],"084151":[],"084157":5,"084184":[],"084187":11,"084223":[],"084224":[],"084226":[],"084230":11,"08426840630693411":[],"08426840630693412":6,"08426840630693413":6,"084269":[],"084277":[],"084278":[],"08428156":[],"084282":[],"084286":[],"084364":[],"084391":[],"084400":[],"084408":[],"084414":[],"084422":11,"084426":[],"084434":[],"084438":11,"084444":[],"084476":[],"084477":[],"084484":[],"08448544e":24,"084523":[],"084536":[],"084541":5,"084549":[],"08455":9,"084570":[],"084604":[],"084624":11,"084629":[],"084645":[],"08464758160254343":[],"084657":[],"084663":11,"084670":[],"084682":[],"084683":[],"084685":5,"084702":[],"084728":[],"08474":9,"084777":[],"084809":24,"084846":11,"084862":[],"084904":[],"084906":5,"084909":[],"084912":[],"084920":[],"084927":[],"084936":[],"084965":[],"084979":[],"085010":[],"085018":[],"085027":[],"085044":[],"085105":[],"085108":11,"085113":[],"085163":[],"085165":[],"085167":[],"085184":[],"085185":[],"085210":5,"085224":[],"085249":[],"085252":11,"085264":[],"085272":11,"085345":[],"085361":[],"085368":[],"085384":11,"085405":[],"085410":[],"085416":[],"085484":11,"08551306":6,"085571":[],"085603":11,"085655":[],"085716":5,"085764":[],"08576932":6,"085776":[],"085876":5,"085879":[],"08593216":6,"085936":[],"086021":11,"086074":[],"086076":[],"086109":[],"08611111111111111":1,"086112":[],"08612280083325631":[],"086154":[],"086174":[],"086178":[],"086203":[],"086249":[],"086250":[],"086257":[],"086262":[],"086303":[],"08630331":[],"086322":[],"086409":[],"086420":[],"086440":11,"086460":11,"086518":[],"086524":5,"086567":[],"08657894597048958":5,"086608":[],"086610":[],"086624":11,"086665":[],"086679":[],"086705":[],"08673755293381497":[],"086802":[],"086807":[],"086809":[],"086841":[],"08684675":[],"086872":[],"086877":[],"086888":[],"086890":[],"08690":9,"086925":5,"086951":[],"086956":[],"086994":[],"086997":[],"087081":[],"087208":[],"087224":[],"087235":[],"087315":5,"08732305":23,"08734015":[],"087372":[],"087377":5,"087386":11,"087387":[],"087419":11,"08743287e":[],"087470":[],"087501":[],"087520":5,"087573":[],"08758":9,"08759":[],"087615":[],"087689":[],"087746":11,"087833":[],"087834":[],"087860":11,"087878":5,"087887":23,"087891":[],"087894":[],"087910":[],"088029":[],"088037":5,"088074":5,"088104":[],"088119":[],"088164":5,"08816688":[],"088176":[],"0881981":5,"088201":11,"088212":[],"088238":5,"088261":[],"088271":[],"088275":5,"088317":11,"088348":5,"088425":5,"088460":[],"088476":[],"088488":5,"088502":5,"088506":5,"088519":[],"088526":[],"088560":[],"088606":[],"088611":[],"088631":[],"08871404":5,"08873443359350565":[],"088754":11,"088758":[],"088760":[],"088765":[],"088778":5,"088809":[],"08881497884574564":24,"088816":[],"088825":[],"088853":[],"08887708":[],"08888888888888889":1,"088926":[],"088946":[],"088974":5,"088982":11,"08902":9,"089040":5,"089041":[],"089059":[],"089063":5,"089082":[],"08910476e":24,"08917679":[],"089177":[],"08918584":[],"089206":[],"089212":[],"08923158":[],"089233":[],"089240":5,"08924325e":[],"089246":[],"089306":[],"089310":[],"089329":[],"089355":[],"0893679":[],"089369":[],"089374":[],"089425":[],"089441":5,"08945041":[],"089501":[],"089505":[],"089524":[],"0895387":24,"089539":24,"089551":[],"089614":[],"089683":[],"0896981":[],"089744":11,"089758":[],"089775":[],"089857":11,"089924":5,"08996":9,"089982":[],"09":[1,24],"090014704675496":[],"090028":[],"090039":[],"090128":[],"090174":[],"090229":[],"09023660662586945":[],"090241":[],"090268":[],"090270":[],"09030825":18,"090337":[],"090349":[],"09034902":[],"0903549":[],"090356":[],"090358":[],"090451":[],"090503":[],"090564":[],"090620":11,"090630":[],"090649":[],"090694":[],"090730":[],"090755":[],"090768":11,"0907831":6,"090828":11,"090830":[],"09083636328656121":[],"090849":[],"09085624":[],"090888":11,"090923":11,"090929":[],"091031":[],"091044":11,"091051":[],"091060":[],"091113":11,"09117221":[],"091209":11,"091224":[],"091236":[],"091266":11,"091311":[],"091315":[],"091340":[],"091349":[],"091363":[],"091369":11,"091376":11,"091414":[],"091416":[],"091418":11,"091426":[],"091440":[],"091445":11,"091477":[],"09149881":[],"091579":11,"091620":[],"091630":[],"091647":[],"091659":11,"09166666666666666":1,"091696":[],"0917":9,"09170751":[],"09172408":[],"09172409":6,"091772":11,"091891":[],"091896":11,"091996":11,"092007":11,"092066":[],"092126":[],"09216046":[],"092249":[],"092290":11,"0923":[],"092409":[],"092478":11,"09251":9,"09252364":[],"092524":[],"092621":[],"092724":11,"092769":[],"092879":[],"09289204":23,"09297039":[],"092998":[],"093078":[],"093247":[],"0934597075922044":[],"093497":[],"093556":11,"093593":[],"093624":[],"0938":[],"093844":[],"093930":[],"093979":[],"09404851e":[],"094082198961999e":6,"0940821989624095e":[],"0940821989643363e":6,"094082198966615e":[],"0940821989673748e":[],"094139":5,"094227":5,"094252":5,"094362":[],"09440475":[],"094404754965417":[],"09444444444444444":1,"094472507965532":[],"094477":[],"094610":5,"094619":[],"094657":[],"094722":[],"09480900e":24,"094812":5,"094848":[],"094867":[],"094925":[],"095171":[],"095184":[],"095313":[],"095315":5,"09533574":18,"095510":[],"095522":[],"095617":[],"095702":[],"0957156":[],"095871":[],"095902":[],"095935":[],"09609807":5,"096173":[],"09631112":[],"09634375e":20,"096472":[],"096516":[],"09652672":[],"096623":[],"09672929714683368":[],"09677394":[],"096833":11,"096845":11,"096872":11,"096893":[],"096894":[],"097":[],"097111":11,"097360":[],"09739330e":[],"097396":[],"097435":11,"09744":9,"09744272":[],"09759873":[],"097602":[],"097634":[],"097710":[],"09772449":23,"09780":9,"09781386":13,"09791":9,"098069":11,"098135":[],"09846636e":[],"09849763":[],"098498":[],"09856879":[],"09861229":[18,23],"098802859381565":[],"099":[],"09903804":8,"0991919894927399":[],"09919198949274803":6,"099191989493334":[],"09951287404314545":1,"099648":[],"09964817":[],"099777":[],"0n":[0,23],"0s":[],"0x11da42d90":[],"0x11db14850":[],"0x11e031e50":[],"0x11e09b370":[],"0x128ee8850":[],"0x12946f2e0":[],"0x1336a6040":13,"0x133c2e1c0":13,"0x13b240850":[],"0x13b8c72e0":[],"0x7fad10f9a280":[],"0x7fad20f69be0":[],"0x7fd098df3280":[],"0x7fd0a9063be0":[],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,22],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,24],"100":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],"1000":[0,1,2,4,5,8,11,13,14,17,20,23,24],"10000":[2,5,6,10,11,13,20],"100000":8,"10001":10,"1001":[9,20],"1002":20,"1003":20,"10030":9,"100303":[],"100358":[],"10044225464078282":[],"1005":20,"100670":[],"10077114273548984":6,"1009":20,"10097956":18,"1011":20,"1013":20,"1013904243":20,"10141413e":6,"1015":20,"102":24,"1022233262115424":[],"10222333":[],"1023":20,"10230":9,"1023111":[],"10235180e":[],"1023858":[],"1024":3,"102401":[],"102449":[],"1026":20,"1027":20,"1028":[],"103":1,"1030":20,"10302062":[],"103257":[],"10340":9,"1037":20,"10378326e":1,"1038":20,"103822":[],"10391807":6,"10398646080125035":[],"10398646080125036":6,"10398646080125037":6,"1040":20,"10405456":11,"10427270e":[],"10430":9,"104411":[23,24],"10441496e":24,"10455924":[],"1047":20,"10486183":5,"104862":5,"10505137":[],"105161":[],"105169":[],"10516924":[],"10520":9,"10555555555555556":1,"1056":[],"10589577":5,"106":[],"106095":[11,24],"10620135":[],"106431":23,"10686259":23,"107":[],"10712245e":24,"10790125813226321":24,"108":[6,9],"108359":[],"10835935":[],"10880921":[],"109":[],"10913":6,"10931453":6,"10950766":[],"10960":9,"1096767776832326":[],"10967678":[],"10th":9,"10x":[0,23],"11":[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24],"110":[],"1100":20,"1101":20,"11022302e":[],"11029323":23,"11046771":[],"111":[1,7,12],"11100":9,"1122558214":[],"112319":[],"11231934":[],"112383":[11,24],"1124":9,"1125":[],"11276576e":24,"11283168":[],"11297834":[],"1133":[],"11352543":[],"1136":[],"11362930e":[],"11366595":0,"11388888888888889":1,"1139":[],"11390":9,"114":[3,4,14],"11402309":[],"114437":[],"11462415":5,"11481199":[],"11482289e":6,"11499517":[],"115":[3,4,14],"11507992e":1,"11547777218875695":[],"11547777218875696":[],"11547777218876518":6,"11547777218940905":[],"11547777218940906":[],"115822":6,"11590":9,"11598862":[],"11598862273198":[],"116":[3,4,14],"11604844":[],"116048442683864":[],"11660":9,"11666666666666667":1,"11674401539815678":[],"117":[3,4,8,14],"117430":23,"11744554e":6,"11780":9,"11790868":[],"11793498e":20,"117986":[],"118":2,"1182":[],"1183":[],"118318":[23,24],"1184":[],"11840":9,"1185":[],"11850274":[],"1186":[],"11890":9,"119":[2,3,4,14],"11909685e":[],"119625":[],"11962537":[],"1199":[],"119936":2,"119999999999976":[],"11it":[],"12":[0,1,2,3,4,5,6,8,9,11,12,13,18,20,22,23,24],"120":[2,3,4,14],"1203":9,"1203284":8,"12044974":24,"120450":24,"1206":8,"12069773":[],"121":[8,9,10],"12107137e":20,"12152272":[],"1215pm":[21,23],"12160173":18,"12167821":[],"12182967":6,"12196674":[],"122":[2,8,9,10],"12222222222222222":1,"122282":23,"122439":[],"1224392":[],"12288563":[],"122886":[],"12289498e":[],"123":2,"12302855":[],"12318726e":6,"12330033":24,"12330280229368":[],"12333649":6,"12345260617257443":[],"123459876":[],"123711":6,"12380":9,"12387751":[],"12394241e":[],"124":[0,23],"12400":9,"12427889":18,"12434807":[],"1245596497124075":20,"12455965":20,"125":[],"1250":[],"125000":[],"12539459":[],"12552073e":6,"12591227":24,"126":9,"1261":9,"12618549":5,"12630042":[],"1265":9,"127":4,"1270":[],"127043":[],"1271":6,"1277":6,"127773":[],"12777777777777777":1,"127812":23,"12788968":[],"12790":9,"128":[3,4,13],"12803365e":[],"128664":6,"12871842":24,"12885048":[],"12898627064868978":[],"129":2,"12933164":5,"129332":5,"12934015":[],"12937662":[],"12945452":[],"1297":9,"1297300314822336":[],"1298":9,"12adb44b1c20":[],"12m":[],"12pm":[21,23],"13":[0,2,5,6,9,11,12,13,18,20,23,24],"130":9,"13003291":6,"13006658e":24,"13019959":11,"130200":11,"13030182":[],"13055555555555556":1,"130694":24,"13069442":24,"13083543199018746":20,"131":9,"13117061":[],"13131825":[],"1314":[],"132":[6,9],"13220608e":6,"13228567":18,"13229545716505003":[],"132360":[],"1323603":[],"1326":9,"13261136":[],"1326197715":23,"13280":9,"13288373":[],"133":7,"13320535":[],"13333333333333333":[],"13392097":18,"13393141":18,"135":9,"13519106":[],"13535942":6,"135365":5,"13536532":5,"136":[],"1360":[],"13609760e":[],"1361":[],"13618516e":24,"1362":[],"1363":[],"1364":[],"13646574":5,"13655438":[],"13661243e":6,"13679863":6,"13687085e":24,"1371":6,"13734823":[],"13740":9,"137400784702911":24,"137652":[11,24],"1378":[],"1382":[],"1383":[],"1384":[],"13847924":13,"1385":[],"1386":[],"13865173":5,"13876586436927824":[],"138775":[11,24],"1388888888888889":1,"13890":9,"1392559581788775e":[],"1392559584983597e":[],"1392559585048734e":6,"1392559591206444e":6,"13925595925919e":[],"13it":[],"14":[0,2,3,4,5,6,8,9,10,11,12,13,14,18,20,22,23,24],"140":[2,9],"14021063":6,"1404":[],"14042769":[],"140428":[],"14061742":23,"141":2,"14100":9,"1416398":6,"14174062":[],"14174745":6,"1418":9,"142":[6,9],"14231548":[],"14250":9,"14252712":[],"14266332e":24,"14277718e":24,"142857":[],"14298603":[],"143":[2,3,4,7,14],"1435666":[],"14360598":[],"1437":1,"144":[3,4,14],"14400":9,"1440501043841336":1,"14432948":18,"14440":9,"14451625":[],"1446729567":4,"14484695":[],"144993":23,"145":[2,3,4,14],"14561980e":20,"1457774":[],"146":2,"14617985":[],"147":[],"14710":9,"1472032":[],"14722222222222223":1,"14724135e":[],"147400":[11,24],"14741468":[],"147420":[11,24],"14783702":[],"1479":9,"148":[],"14812206":6,"14818":[],"14822021080294":5,"1484256":[],"148564":[],"14859":6,"148768":[],"148854":[],"149":[],"14900336":23,"149213":[],"14932651":[],"149452":6,"149655":[],"149864":6,"14988578":[],"149886":[],"14995486":[],"149955":[],"14g":6,"14it":[],"15":[0,2,3,4,6,7,8,9,12,13,14,15,16,20,23],"150":[4,8,9],"15005476":5,"150184":[],"15089627":[],"150920":[],"15092012":[],"1509778":[],"15098090e":6,"151":[],"15130074e":6,"151348":[],"151986":[],"152":9,"15200":9,"15258907":[],"152696":[],"15269628":[],"1527777777777778":1,"153036":[23,24],"153106":[],"15320771e":[],"15321987":18,"1533795":[],"153760":[],"15384615384615385":9,"15384615384616":[],"154":[],"15410688":[],"154107":[],"15442554":[],"15454301":[],"15456415e":[],"154720":[],"15483121":[],"154911":[],"155":9,"15503141":18,"15508406":13,"155491":[],"15550086":[],"155687":[],"155883":[],"156":[],"1562":[],"15626984":5,"156270":5,"15629539":[],"15680777":[],"156956":5,"157":[],"15717291":[],"1575":9,"158":9,"1582408":5,"158241":5,"1583767":[],"15843769515580663":[],"1586300629904382":[],"1587":9,"15891336":[],"15899253":[],"159":[],"1590":9,"15990":9,"15g":6,"15it":6,"15pm":23,"16":[1,2,3,4,5,6,8,9,10,14,20,23,24],"160":[],"16006961":5,"1603":3,"1604":[],"1605":[],"160539":[],"16054190e":[],"1606":[],"1607":[],"16111111111111112":1,"1612":[],"1614891":[],"16167387":[],"16211139":5,"16220":9,"162246":5,"16231451":4,"1625":9,"1628":9,"162999":23,"163":[],"16304863":24,"163049":24,"1630775253":1,"16342407":5,"16343471":6,"16384":3,"16397496":[],"16500":9,"1655226":23,"166":9,"16660817":[],"166667":[],"167":[],"16740002":[],"167787":5,"168":9,"168044":[],"16804444":[],"16805821e":6,"16807":[],"16827044":[],"16832385":[],"16840081":[],"16961682":[],"16b8e3cda33a":[],"17":[1,2,3,4,5,6,8,9,14,18,20,24],"17084902":[],"1709":9,"171525":24,"1715252":24,"17174962e":1,"17222222222222222":1,"172405":[],"17240522":[],"1726":9,"17297886491529482":9,"17300":9,"1731":9,"17339342":[],"173439546289586":11,"17428293":23,"17446471":6,"1752":9,"175300":[23,24],"17641709":6,"17647619":6,"17676228":23,"176880142835407":[],"17709473":[],"17764878e":24,"17774184e":20,"17777777777777778":1,"17796101e":[],"17801022":5,"17826349":[],"17861098":6,"17897671":[],"17917768":5,"17930649":[],"17938393":[],"17942122":[],"17949575":5,"17953942":11,"1797":[1,3],"18":[2,3,4,6,7,8,9,10,13,14,20,23],"180":[],"18029127":5,"18036103":18,"1807":4,"1809":9,"181":9,"1810":[],"1812":9,"18156717":[],"18166474":[],"1821":9,"18217743e":[],"18264218":23,"18266178":[],"182662":[],"18276924":[],"18306165":11,"183062":11,"18327677":[],"18333333333333332":1,"18383522":24,"18393678":[],"184":9,"184519":[23,24],"184895":[],"185":[],"1851":[],"1852":[],"18526":[],"185278747229417":[],"1853":[],"1854":[],"1855":[],"186":[],"1860":9,"18603611e":24,"1861":[],"18611111111111112":1,"18613217e":6,"18657863":18,"18660":9,"18670072e":24,"18673098":11,"18682538":[],"18695705":[],"18780801":23,"18790439176058887":[],"188":[],"18826299":[],"188263":[],"1887":6,"18912963":[],"18931988":18,"189367":23,"189496":[23,24],"189622":[23,24],"18998208":[],"18it":[],"19":[2,3,4,6,9,13,14,20],"19003":6,"19032152e":20,"19096968":[],"190970":[],"191262820314401":[],"19144544":[],"19158446":[],"19166666666666668":1,"191963":23,"19207979":5,"19213479":[],"19220":9,"19264104e":[],"193":[],"19354258":[],"19379506":[],"19394283":[],"194":[],"1940":[0,24],"19404282648955e":[],"194042826653172e":[],"194042826815498e":[],"1940428268204826e":6,"194042827197027e":6,"19425617":23,"1943":12,"194325":[],"19432526":[],"1944":[],"19444444444444445":[],"19466812":[],"1950915150":[],"1954":[],"19542686939553625":23,"1956":9,"19569961":[6,24],"1961":[],"1962":[],"1963":[],"1964":[],"1965":[],"19677483e":[],"1970":[18,23],"197104":[],"19710439":[],"1973":9,"197370":[11,24],"19740":9,"197738983259782":[],"1979":6,"19800":9,"19853775e":[],"1989":[],"19890453":23,"199":[],"19910037e":24,"19937":[],"19983530":6,"19994371":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,20,23],"1d":[1,2,3],"1e":[1,2,4,13,14],"1e10":14,"1e4":6,"1f":1,"1k":18,"1n":[0,23],"1s":[],"1x":[0,23],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,22],"20":[0,1,2,3,4,6,7,8,9,13,14,20,21,23,24],"200":[0,2,3,4,8,9,10],"2000":[0,24],"200000":[],"20015436":6,"20038136":[],"2004":13,"2006":22,"2008":23,"20098424e":24,"2010":1,"2011":1,"2014":4,"2015":1,"2016":[0,23],"20174121":[],"2018":[0,3,4,6,14,24],"2018906331":[],"2019":[8,9],"2020":[3,4,14],"2021":[6,14,24],"2022":23,"2023":[15,16,23],"20255857":[],"2027":9,"20277777777777778":1,"20299677":[],"203":[],"20316225":[],"20320502":[],"20375361":[],"203753611274545":[],"20436207e":20,"20461136":18,"20500":9,"20509391":[],"205231":23,"206":[],"2060":9,"20609082":[],"206091":[],"20661216":[],"206640":[],"20664007":[],"2069":9,"20708879":11,"207089":11,"207545":[11,24],"20756638":[],"207888":23,"20833333333333334":1,"2086376":18,"20867052175003364":6,"20867052175006306":[],"20867052175109335":[],"20893188":18,"20893514":23,"20916295":24,"209789":23,"20980":9,"20999563":[],"21":[0,1,2,3,4,5,6,7,9,12,13,14,15,18,23,24],"210151":[],"2101511":[],"210340":[11,24],"21058097":5,"21130":9,"2116753732":4,"21169159e":6,"21171751e":24,"21265216":[],"21266166e":24,"21296315":23,"213":[],"213103":[11,24],"21328866":23,"21369083e":20,"213743":[11,24],"21435514e":20,"21472683":[],"2147483647":[],"21493572":[],"21503438e":24,"21519063":[],"21576737e":[],"21582995e":[],"21596432":6,"216290":[11,24],"21654926":[],"216683":[11,24],"21786964":[],"2188":[],"21909039":18,"21919813":[],"21922061":23,"219222942590059":5,"219249":[],"21924917":[],"21927988":[],"21944444444444444":[],"2195":[],"21985165":[],"21997099":[],"22":[0,1,2,3,4,5,6,9,12,13,14,18,23,24],"22014758":[],"220148":[],"22044605e":[5,24],"220506557673408":[],"22090974":23,"22094791":[],"220968":[],"221":8,"221180":[23,24],"22134069":[],"2216":9,"2218":9,"221805":2,"221921":5,"222400":[23,24],"2225":[],"22442417":18,"2246674023625205":[],"225":4,"22566121":18,"22567203":[],"2259440937":[],"226124657522696":[],"22612466":[],"226856":[],"22685646":[],"22690428":5,"22821344":[],"2284246870217162":6,"2284246870217459":[],"22842468702288576":[],"22842468702288582":[],"22847924":5,"22887861":18,"22893751":23,"22929905e":[],"2299":[],"22it":[],"23":[1,2,3,4,6,7,9,12,13,14,18,23],"23002365e":6,"23014274e":[],"23056012":[],"23076923076923078":9,"23095558e":20,"231":[],"23103285":[],"231224729143838":[],"2315033":[],"23167717":5,"23168292":[],"231683":[],"2321528":[],"232153":[],"232435":[23,24],"23297056":[],"23333333333333334":1,"233528":[],"2338675":24,"233868":24,"234":6,"23408962e":5,"23470374":20,"23477043":23,"23483916":[],"23522201":[],"2357089093":[],"2360682191515046":[],"2361111111111111":[],"2364":9,"23659936":[],"237038":[],"23703839":[],"23732849":[],"2379":6,"23792491":[],"237925":[],"23816792":[],"238168":[],"238574":[],"23857423":[],"23875722":18,"23962594":[],"2397":9,"23971032":24,"24":[0,1,2,3,4,6,9,13,14,18,23],"240670854503034":[],"241252":11,"24125217":11,"24140":9,"24159785":24,"2416":9,"24175744e":6,"24181044e":20,"2419":9,"24276315":[],"24279008":23,"2430":9,"24390":9,"24444444444444444":1,"244858":[],"24485843":[],"24501973e":[],"24512498":[],"24533566":[],"246":2,"2460037":23,"24611674":[],"24629107e":20,"24688732":23,"2470":[],"2476536":[],"247654":[],"24770094":[],"24782786":5,"24784064":[],"24801014":18,"24829908":5,"24844778e":[],"24848907":23,"24906604e":6,"24924624":[],"24929083":23,"249302":[],"2493023":[],"2495":[],"25":[2,3,4,5,6,7,8,9,11,13,14,15,23,24],"250":[2,4,7,9],"2500":[],"25000":[0,24],"250000":[],"250154":[],"25028968":18,"250636":23,"25115233":[],"25116851":[],"2517560119":[],"251879":[23,24],"25201286e":[],"252436":[23,24],"25253892":23,"25259666":[],"2526":[],"252866":[],"25286618":[],"25366775":[],"253668":[],"253775":[],"25385387":[],"253854":[],"255":3,"255001":[23,24],"25522012":[],"256":[2,4],"25617654e":6,"25617657e":[],"25617658e":6,"256962":[],"257":[],"2572":9,"25724702e":24,"2572495066":[],"2572e3a4b38d":[],"2575":9,"25789255":18,"25792767":[],"25845e8df859":[],"25881631":[],"25902112":[],"259153":[11,24],"2597":9,"25976336":[],"26":[2,3,4,6,9,13,14],"26015755":18,"26079358":[],"26115367":[],"261154":[],"26153846153846":[],"26181254":11,"261813":11,"26185107":[],"26186844":[],"2619":24,"26223899":18,"26265627":24,"26290036":[],"26291585":[],"262916":[],"26294938":[],"2629493813057833":[],"26297455":24,"26301436":5,"26306244":[],"264":[],"26409315307910025":6,"2640931530791003":[],"26409315307910036":6,"2640931530791005":[],"26409315307910053":[],"264421":23,"264540221699101":11,"264666":[],"26466619":[],"265":[],"2650":9,"26506981e":[],"265109911":4,"26521761e":24,"26531223e":[],"2654":9,"26549135":[],"266":[],"26610075":[],"26666667":13,"26678445":23,"26710969":5,"26780278":5,"268":9,"26804287":5,"268043":5,"268227":[],"26822717":[],"268484":[],"26848435":[],"26896710e":24,"269":[],"26995402":24,"27":[0,1,2,3,4,6,13,14,24],"270":[],"2703":[],"27050214":[],"27090196":23,"27091656":[],"270917":[],"27092897":[],"27092910":6,"273817":5,"27381733":5,"2750":9,"27525917":[],"275341":[],"27547877":18,"27552531e":24,"27562809e":[],"27580794":[],"27621662e":[],"276263":[11,24],"27660123":[],"27692307692308":[],"27700":9,"2772":[],"2775623201":[],"27760":9,"27801122":18,"278036":[],"27803645":[],"27809912":23,"27924636":5,"27932015e":[],"27n_":20,"28":[0,1,2,3,4,6,9,13,14,16,24],"28001319":[],"280179":23,"28047021":[],"280573":5,"280647":[11,24],"28065343":[],"28067036":[],"28097861":[],"280979":[],"28102554":[],"2812":[],"28186376":18,"281930":23,"28205578e":24,"28219089":11,"282191":11,"282259":23,"282727":[11,24],"28284417e":24,"283":[],"2830637392":4,"2831603":[],"28336218e":6,"2836":[],"28390":9,"28391978":24,"28475098":8,"28500583e":24,"28590743":[],"2861":20,"28634473":[],"286345":[],"2871":9,"2873":9,"28744729":23,"2882":20,"2886":20,"2886847885377843":[],"28868479":[],"28875373":[],"2890":[0,23],"2892":20,"2895238":18,"28967287":[],"28it":6,"29":[3,4,6,7,9,14],"29082851":[],"290829":[],"29083183":[],"290832":[],"29115152e":[],"29148545e":[],"29149329":[],"2915":20,"29167186":5,"29229741":[],"2923076923077":[],"29276615":[],"29294618e":20,"2931":23,"294277":[],"2942772":[],"29512284":[],"295123":[],"2954":[],"29546690e":20,"2955":[],"2956":[],"2957":[],"2958":[],"29588901":[],"29592539":[],"296247":[],"296414":23,"29650918":23,"29661191":[],"29672381":[],"2968":23,"297":[],"2971492148":[],"2972":[],"297248":5,"29724806":5,"2980":23,"29822833":6,"298273":[],"298375":[],"298836":[],"29883607":[],"299":[3,4,14],"2990":23,"299267190588216":[],"29938171e":20,"29972182":13,"299748":[23,24],"29it":6,"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,20],"2_t":13,"2_x":20,"2b":20,"2cm":8,"2d":[1,3,11,12,17,23],"2e":6,"2f":[0,7,9,10,11,12,23,24],"2ff97f4bf03b":[],"2g":2,"2g_i":2,"2k":3,"2m":6,"2n":[0,2,3,23,24],"2nd":9,"2p":20,"2pm":[21,23],"2pt":4,"2s":[],"2x":[0,3,8,13,23],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21],"30":[0,1,2,3,4,6,7,9,10,13,14,21,23,24],"300":[3,4,14],"30000":[0,23],"30010":9,"30035718":23,"3005849":23,"301":[3,4,14],"30119421":8,"301475":[],"3014751":[],"3017":[],"3018":[],"3019":[],"301927":[],"3020":[],"3021":[],"30232456e":[],"30258509":[18,23],"302m":[],"303":6,"30313128":18,"30337713":18,"3037":[],"3038":[],"30384239":[],"3039":[],"303m":[],"3040":[],"3041":[],"30442964":24,"30466214e":6,"304m":[],"305":[0,23],"30535506":[],"30552077":[],"30559547":[],"305m":[],"306":[0,3,4,14,23],"3063":[],"306m":[],"307":[0,3,4,14,23],"30700873e":20,"30702075":[],"3072":3,"30761405e":[],"3076923076923077":9,"30787294":6,"3079975":[],"307m":[],"308":[0,3,4,14,23],"30813073":[],"30839676":[],"30891693":[],"308917":[],"308m":[],"309":[0,3,4,14,23],"30936179":[],"309362":[],"30940":9,"30984244e":24,"30993886e":20,"30b53504a633":[],"30it":6,"31":[3,4,6,12,14,18,20],"310":[0,3,4,14,23],"310579":24,"3105791":24,"311":[0,23],"31120247":[],"31138734e":24,"31193395e":[],"311m":[],"312":[],"3120271598582915":[],"31211671":[],"31228042":[],"31229747":[],"3123314713548606":6,"31276579e":6,"312m":[],"313":[],"31311243":[],"31318084":5,"31377492":[],"314":[],"31424359":[],"314244":[],"31447174":[],"31457796":5,"315":6,"31507591":23,"31519573":18,"31531613":23,"3155":[0,5,6],"315746":[],"31574634":[],"315977":[],"31597731":[],"316":[],"31605061":[],"31614188e":[],"31644071":[],"31650694":6,"31658671e":20,"31681097":[],"316811":[],"317":[],"31718909":11,"31719317":23,"317367":11,"31768693":[],"31782593":20,"317825933186352":20,"3178411477108273":18,"317m":[],"31835835":[],"31866499":[],"31896852":8,"319803":[],"31980301":[],"31988705":18,"319m":[],"31it":[],"32":[2,3,4,6,12,13,14,18,20],"3200":1,"32039227e":[],"32047562":[],"32066545e":5,"32068012":[],"3208":2,"320m":[],"32149601703519115":6,"3214960170351912":6,"3215":9,"32179365":[],"32183101":[],"32190363":[],"32309075":[],"32320052":[],"324":2,"32450054":24,"32458459":[],"32459186":[],"324m":[],"3250":[1,6],"32512":[],"326238":[23,24],"3263505":[],"326m":[],"32714903e":5,"32721178":[],"327212":[],"32750531e":[],"32766274":[],"32784259e":24,"327883798133277":18,"32816737":[],"32903042":[],"329492":23,"3297":[],"32992274":[],"329923":[],"32it":[],"33":[2,3,4,9,12,14,18,21],"330":[3,4,14],"3303":[],"33066907e":[5,24],"33078983":[],"33079801":23,"331":[3,4,14],"3310":[],"3313155":13,"33135331":23,"33166055e":[],"3318361":23,"331939":[23,24],"331m":[],"332":[3,4,14],"332018":11,"33201844":11,"332331":[],"333":[3,4,7,14],"3331":[],"33327369":[],"333274":[],"33333333":13,"3337":[],"334":[3,4,14],"335":[3,4,14],"336":[3,4,14],"33611111111111114":[],"33645986e":[],"33646268e":[],"336801":[],"33680101":[],"337":[3,4,14],"33711888":[],"33736485":18,"338":[3,4,14],"33819480e":24,"33823452e":20,"3384":[],"33900713":[],"33939645e":24,"33956555":[],"33m":[],"34":[2,3,4,9,14,18],"340071371496255":24,"3403":9,"34037032e":24,"34040204e":[],"340583":23,"340782":[11,24],"34114547":5,"34158665":[],"341m":[],"342680":[23,24],"34305928":[],"3436":[0,23],"3437":[0,23],"34378387e":[],"34412923":24,"34498451":[],"3456":[],"345687771875474":[],"34568872":[],"34569596":5,"3457":[],"34578026":23,"3458":[],"34585355":[],"3459":[],"3460":[],"34678929":[],"346810":[],"3469819128513336":[],"34740615":[],"34852463e":24,"3498":[],"34989509":18,"34it":[],"35":[0,2,3,4,6,9,14,21,23],"35030572":[],"35074881":[],"350749":[],"35123041":[],"3514":[],"35140":9,"35147135":[],"35147532":[],"351636":[11,24],"35182854":5,"35203688":[],"35207264":[],"352073":[],"3522":[],"3525":[],"3528556":[],"352856":[],"3529":[],"3530606977":[],"35309734":18,"35319678":[],"35346808":[],"3538":[],"35396404e":[],"35401056e":[],"3543":[],"35438626":23,"3544313922":6,"3546":[],"35470445e":[5,24],"3548":[],"355":[3,4,14],"3551":[],"35533773":6,"35533774":[],"3556":[],"35562617e":[],"35568525":23,"3558":[],"355906":[],"35590603":[],"356":[3,4,14],"3560":[],"356399":[23,24],"3567":[],"357":[3,4,14],"35704388":5,"357044":5,"3572":[],"35724288e":[],"3575":[],"357508":[23,24],"3576":[],"3577":[],"35771826":6,"35771842":[],"35776087e":20,"35793003441520066":[],"358":[3,4,14],"3581341341":4,"3581571":18,"35821426":[],"3585":[],"3587":[],"35892474":[],"35894575":[],"359":[3,4,5,14],"3593":[],"35947075":23,"3594821":[],"3595":[],"3598":[],"359999999999985":[],"36":[0,2,3,4,5,6,14,20],"360":1,"3604":[],"3605":[],"3606":[],"360688":[],"3609":[],"36102113":[],"36117602":[],"3613":9,"3615":[],"361556":[23,24],"3617":[],"3621311":5,"36227629e":24,"3624":[],"3627":[],"3628":[],"363295916323784e":6,"363295916414895e":[],"3632959170548605e":[],"3632959215700067e":6,"363295924430451e":[],"363834":[],"36383443":[],"363936":[],"36393643":[],"3643":[],"3644017":[],"364402":[],"364418e97433":[],"3645":[],"3646":[],"3647":[],"365350":[],"36535019":[],"3655":[],"3655222":5,"3659":[],"3665263":[],"3668":[],"36689784":[],"366898":[],"3669":[],"36692356":23,"367":2,"3672":[],"3673":[],"3674":[],"3679":[],"36809474":23,"3684":[],"368537":5,"36853738":5,"3687":[],"3688":[],"368m":[],"369139":[11,24],"36it":[],"37":[2,3,4,6,9,14,23],"3704":[],"370782966":4,"3711":[],"37114298":18,"3713":[],"37157712":[],"3718":[],"3721":[],"3722":[],"37239927e":24,"3725":[],"3729":[],"37307168":[],"3739":[],"37396662":6,"37415316":[],"37419664":11,"374197":11,"374291":[],"37429133":[],"3748":[],"3749":[],"3753":[],"375694":23,"3759":[],"3760":[],"3765":[],"376547":23,"376559":[],"37655936":[],"376834":[],"37683438":[],"37692363":[],"37703055":[],"37713991":[],"3772":[],"3773":[],"37732":[],"377372":24,"37737221":24,"3776":[],"3777801602":6,"3779":[],"37835429e":[],"3784":[],"378664":[],"37866422":[],"37885034":23,"37900111":6,"3791":[],"379203":[],"3794":[],"379647":[],"37964744":[],"37992857":[],"37it":[],"38":[2,3,4,9,14,20],"380":9,"38019139":[],"3802":[],"3803":[],"3804":[],"3805":[],"380739":[],"38073947":[],"3811":[],"38135733e":6,"3815":[],"381627865854956":[],"38162787":[],"38168549":[],"3817475779":6,"3818":[],"3819":[],"3820":[],"382187":23,"38222896":[],"3823886":[],"382389":[],"38246359":[],"382672":[],"38267217":[],"3827":[],"382951":[],"38295101":[],"38299798":[],"3830":[],"38302314":[],"3833":[],"38336316":[],"3834":[],"3837":[],"3838":[],"383878":11,"3838783":11,"3839":[],"3842":[],"38461538461538464":9,"3850":[],"3851":[],"38533184":[],"38533185":6,"3854":[],"3858":[],"386":9,"38605872":[],"386059":[],"3861":[],"3862":[],"386294":[],"38629412":[],"38629436":[18,23],"38629844":[],"38637915":[],"3864":[],"3867":[],"3869":[],"387":[],"3871":[],"3872":[],"38730917e":[],"387482":[],"38748219":[],"3876":[],"38763091":18,"38788697":18,"388":[],"3881":[],"3882":[],"3885":[],"3886211842840971":23,"38868469":[],"3888":[],"3889":[],"389":[],"38901478":[],"38906684":[],"389067":[],"3891":[],"38916861e":6,"38962192e":6,"3898":[],"39":[0,2,3,4,9,14,21,23],"390":[],"3906":[],"39074222e":[],"39095416":[],"3914":[],"3915":[],"3916":[],"391602":[],"3917":[],"39197698":24,"391977":24,"39214397":24,"392144":24,"3922":[],"3925515884752442":[],"39272691":[],"3928":[],"3929303193461995":23,"3931":[],"39311435":[],"39384255":[],"393843":[],"39417707e":24,"3943":[],"3944":[],"39456996":[],"39493843":[],"3950":[],"39548035e":24,"3955":[],"39560937":[],"3957482":23,"39579407":5,"3958":[],"39595799":[],"3960":[],"39614347e":24,"3962":[],"3970":[],"39706038":5,"39707147":23,"39724390e":[],"3975":[],"397700":[11,24],"39789527":[18,23],"3979":[],"39794864e":[],"3980313467":6,"3983":[],"39864527":[],"39924562":[],"399246":[],"39931051e":24,"3994":[],"39943328":18,"3996":[],"399836":[23,24],"39it":[],"3bdkrb":[],"3d":[2,3,4,6,13],"3f":[1,3,9],"3n":18,"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,13,23],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23],"40":[1,3,4,6,9,14,21,23],"400":4,"4000":[9,23],"4005":[],"4011":[],"40116777":[],"401168":[],"4012":[],"4017":[],"4017308":[],"40183706":[],"401842":[11,24],"40214433":[],"4022":[],"40236901e":[],"4027":[],"4030":[],"40340043":[],"4034668048":[],"4038":[],"40389922":[],"4039":[],"404":24,"4045":[],"4048":[],"4050":[22,23],"4055":[],"405890":[11,24],"4059":[],"40599799":[],"40620066":24,"406201":24,"40672425":23,"4068":[],"4069":[],"4075":[],"40754621":[],"4077":[],"408":[],"4082":6,"40828861e":24,"40829683":[],"408297":[],"4084":[],"4087":9,"4087793":5,"4088":[],"4089":[],"409":[],"40927184e":6,"40980089":[],"409801":[],"40a38ad763f1":[],"41":[0,2,3,4,9,14,18],"410":[],"4100":[],"4107":9,"410815":[],"41081513":[],"411":[],"4115":[],"4117":[],"41170104":[],"412":[],"41211579":[],"412116":[],"4128":[],"4131":[],"41340248":23,"41351287":[],"413513":[],"41357064":[],"41386599":18,"4143":[],"41433969":5,"4144":[],"41446721":[],"4146":[],"41511965e":1,"415201":23,"41542567":[],"4155":[2,15],"415534701258823":[],"41566661":[],"4162706317":6,"41646135":23,"4166666666666667":9,"4167":[],"4176":[],"4177":[],"418506":[11,24],"4186":[],"41876267":[],"418763":[],"41882036e":[],"41882037e":6,"41923956":18,"4192423635":[],"41958102e":[],"4198":[],"41990268":[],"41it":6,"42":[1,3,4,8,9,10,14,18],"420":[],"42028578":[],"42037468e":[],"420543":11,"42054337":11,"42078103":[],"421":[],"4212":[],"42130182":[],"42190899e":24,"422":[],"422275":[],"4224":[],"422480":[],"4224801":[],"423":[],"4230769230769231":9,"42340403e":[],"42352791":23,"42394972":[],"424":[],"42441033":5,"42449643":[],"42450":9,"42451192":18,"425":[],"4255":[],"4258989918":[],"426":[6,7],"42615374e":[],"42631342":[],"42694395":18,"427017":[],"42732954":[],"4275":[],"42790075e":24,"4284066":[],"42882114e":[],"42902155":18,"42915006":18,"43":[0,1,2,3,4,7,9,14,18],"43007002e":24,"43036842":18,"4304167":[],"43054282":5,"4310":23,"43135183":[],"43294696e":[],"43330971e":6,"43333886":[],"43482628":[],"434932":[],"43493232":[],"435163":[23,24],"43552433":[],"435567":[],"43556723":[],"43560678":[],"43579948e":6,"43639284e":24,"436462435":4,"43761347":[],"43766686":11,"4379":[],"43794243e":20,"438060758":6,"438136":[23,24],"43876695":[],"438767":[],"439230":6,"4399427":[],"439943":[],"44":[0,1,2,3,4,14,18],"44021223":11,"44065609":18,"44089210e":[5,24],"4410":[],"4411":[],"441264":23,"44152248":[],"44190304":18,"44198566":[],"442600":[11,24],"442701":[],"44270138":[],"443217":[23,24],"443538568902246":20,"44353857":20,"444":9,"44624525e":24,"446453":23,"44651551":[],"44688507e":[],"44830642":[],"44838453e":20,"44894073":[],"44906236e":[],"44970586e":1,"44997121":[],"44it":[],"45":[2,3,4,9,14,21,23],"450":9,"450257":[11,24],"4504":9,"45146007e":24,"45220770e":[],"452553":23,"45268835e":24,"45290829":[],"45372697":5,"453727":5,"45393214e":[],"454027":[],"45402701":[],"4543859":[],"45571233e":24,"4557763":11,"455947":[23,24],"456":9,"456418966187335":[],"45643708e":24,"457":2,"45720968e":[],"45741697":[],"457770268480242":[],"458027":[23,24],"458078":[11,24],"45915671e":24,"45951629e":20,"45960079":5,"45979894":18,"45985488":[],"459855":[],"46":[2,3,4,9,14,21,23],"4601":9,"46023985":[],"461":[],"461175":[],"46153846153846156":9,"462":7,"46284227":[],"46312791":23,"46369869":23,"46383925e":6,"463861":23,"46400080e":[],"464424":[],"4644244":[],"46508305":[],"46567887":[],"46575843e":[],"466":[],"46602982":[],"46650488":[],"466505":[],"46696223":[],"4676059":24,"467606":24,"469":[],"46932688":[],"4694":[],"46984697e":6,"469868":[],"46986815":[],"47":[2,3,4,9,14,21,23],"4703":[],"47042744":5,"470714":[23,24],"47075725":6,"47116868e":6,"47125748":5,"47132891":5,"47158029e":[],"47245463":[],"472455":[],"47248297":23,"47387858":[],"47400238":[],"47432993":[],"4744":[],"4744219":[],"47478057":[],"47482507":[],"47485224":[],"475311":[],"47531107":[],"47610036":6,"47726407e":20,"47815203":11,"47920156":[],"47942814":[],"479465113":4,"48":[2,3,4,9,14],"480":23,"48089797":[],"48133064":[],"481979":6,"48212873":[],"48257387":[21,23],"48316523e":[],"483257001":13,"4837":[],"48420165":[],"48442336":[],"48476997":11,"48574149":[],"486873":[],"48687342":[],"48739546":[],"48783370e":24,"48871288":[],"488713":[],"489":[],"489522":[],"48952201":[],"48971452":[],"48994188":5,"48it":[],"49":[2,3,4,5,6,9,11,14,24],"490":[],"49052317e":20,"491":[],"49152":3,"492":[],"49242688":[],"49282737":[],"493":[],"49385454e":[],"4940954":[0,23],"49468927e":20,"49545491":23,"4959161509356135e":[],"495916150936645e":6,"495916150936654e":[],"4959161509377256e":6,"495916150938325e":[],"49614357":[],"496337":[],"49633743":[],"49636583":[],"49666527e":20,"49672291":[],"49680475019226":[],"497":[],"49730046e":[],"498":[],"49862065e":24,"49887949e":24,"499":[],"4990":20,"499012":[],"49901244":[],"4992":20,"49932427e":5,"4997":20,"49974854":[],"49992743e":[],"4b5d3mupqma":[],"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[21,23],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],"50":[1,2,3,4,6,7,8,9,10,13,14,23,24],"500":[1,3,4,6,9,10,13],"500000":[],"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,"501":[],"501049":[],"50104946":[],"50105159":[],"50173752e":24,"5018":20,"50219982":[],"50227564e":6,"5031474174499113":[],"50314742":[],"50321091":5,"504167":[],"50416731":[],"504881":[],"50488131":[],"50584526":18,"506":[0,24],"506553":24,"50655336":24,"50680321e":[],"50727059":[],"50733669e":24,"50754416":[],"50769230769231":[],"50799086":[],"507d50":[9,10],"50812169":[],"50835355":5,"508354":5,"50846111e":[],"50846112e":6,"50931378":18,"50it":[],"50j":13,"50x10":1,"51":[2,3,4,10,14],"510":1,"51004249":[],"51054961e":24,"51075117":[],"51108791":18,"51126895e":[],"51131471":[],"511315":[],"51146442":23,"51150176":[],"51174395":[],"511888":5,"51191552":6,"511977":[],"51197747":[],"512132":[],"51214899":[],"51265232":[],"51289697":[],"512897":[],"5138":[],"51389553":[],"51400374e":[],"514219":[23,24],"51507839":18,"51561271":[],"51578522e":20,"51656406":23,"51664729":[],"51732028":[],"517350858882083":[],"5177783846":4,"517823":[],"51782322":[],"518030":[],"51803019":[],"51850390e":24,"5188328":[],"518833":[],"518895":23,"51900727e":[],"51933924":18,"519842":[],"52":[3,4,14],"520931":[],"52093124":[],"5216048821598704":[],"521719":[],"52171908":[],"5222222222222223":1,"522758":[],"522836":23,"52307692307693":[],"52362157e":24,"52512084":11,"52580392":5,"525804":5,"5260627":[],"52606351e":24,"526744":[11,24],"52713812":[],"52723079":[],"52744746":13,"52773051":[],"52799362":[],"528115":[],"52811546":[],"52819229":[],"52839842":18,"52874252":5,"529":[],"52902847e":24,"52911941":[],"52945798e":[],"53":[3,4,9,14],"5303329":11,"5305555555555556":1,"5312":[],"531280":[23,24],"53189647":[],"53219937":[],"53254035":[],"53312754":[],"533941":[],"53394148":[],"53423784":[],"534362":23,"53479276":[],"534793":[],"53502096e":[],"53603432":[],"53611562":[],"53623614":[],"53697476":[],"53703498":6,"5378811":11,"53794784":[],"537948":[],"53815559":[],"53822787":[],"5384615384615384":9,"53846153846155":[],"539261":[11,24],"53938383":[],"539384":[],"53952479":[],"539525":[],"53952664e":[],"539683":11,"53968309":11,"53971260e":[],"53it":6,"54":[3,4,6,9,14,20],"540":9,"54016188":[],"540162":[],"54039921":5,"54041041e":[],"54078623":11,"541605":[23,24],"54163136":[],"54302039":[],"543939":24,"54393936":24,"544439":[23,24],"54445121":18,"54537329":[],"546166676":[],"546712":[],"54671213":[],"5472246386316972":[],"54722464":[],"54780216":[],"54845458":[],"548455":[],"54886137":[],"54894095":[],"54956992":18,"54969168":[],"54it":[],"55":[1,2,3,4,9,14],"5501":[3,4,14],"55026099":[],"550321":[],"55070893e":24,"55202922":[],"552731":[],"55273102":[],"5539":[],"55505907":[],"555187":[],"55518724":[],"555496":[],"5554964":[],"55553537":[],"5555555555555556":1,"55571665":[],"55578041":[],"55626454":18,"55640013":23,"55640387e":[],"5566":[],"557795":[11,24],"558080":[],"55808001":[],"558241":[],"55824107":[],"55854694":11,"55907387e":[],"55914617e":[],"55936475e":24,"5594":6,"56":[1,2,9],"56033697":5,"56071752e":20,"561":[],"5611":[],"5615":[],"56183518":[],"56198284":5,"5625":[],"56302854":[],"563167":23,"56343926":[],"5639":[],"564":9,"564374":[11,24],"56437897":[],"564379":[],"56447742e":24,"56481272":23,"565":9,"565006":[],"56500639":[],"56536":[0,23],"56542321e":24,"56556315":[],"565651":[],"56565106":[],"566":9,"566074":[],"56607416":[],"56636616e":6,"567":9,"568":9,"56807589e":[],"56848886":[],"569":[1,9],"56912044e":6,"56939714":5,"56992937":[],"57":[0,2,8,9,21,23],"570":9,"5700":[],"571":5,"571092":[],"57109235":[],"571105947979336e":[],"571105947979352e":6,"571105947979394e":6,"571105947979395e":[],"571105947979439e":[],"57154252":[],"57174058":[],"57201944e":6,"572069":23,"57266138":[],"57350724":18,"57361898":[],"574465":[11,24],"57505712":23,"576431":[],"57643113":[],"57673618":[],"5769230769230769":9,"57776818e":20,"57807896e":24,"57810065":[],"57810898e":20,"57842073e":[],"578889":[],"57888946":[],"57947706":23,"57it":[],"58":[2,9,10,21,23],"58042237":18,"58084359":[],"58112299":[],"581123":[],"58171189":[],"58187347":[],"58312967":[],"5833333333333334":9,"583595":[23,24],"58395707":[],"58428804":[],"58474054":[],"584804":[],"58492636e":24,"58590795":23,"58666142":23,"58671946":[],"5888888888888889":1,"589":[],"58986647":[],"59":[2,9],"590":[],"591":[],"591317992":4,"591594":[],"59159438":[],"59182949":[],"59190877":[],"592":[],"593":[],"593040":[],"59304008":[],"59323905":[],"59367954":[],"5944444444444444":1,"59445979":[],"594460":[],"59468796":[],"59591979":[],"595920":[],"59592669":[],"59616454":[],"596165":[],"59654302":[],"59766":[],"597660":[],"59833875":[],"598392":[],"59839245":[],"59950055":18,"59955801":[],"59981487e":24,"5cm":20,"5dd54edf2138":[],"5f":8,"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,21,23,24],"60":[1,2,3,6,9],"60000":4,"60056803e":24,"60083846e":[],"60133562":[],"60158334":20,"601583341274718":20,"60164827e":24,"60176806":[],"6019067271":4,"601942":11,"60194224":11,"60236782":18,"60236938":[],"60268567e":24,"60293962":5,"603494":[],"60349429":[],"603636":23,"60420593":5,"6052136":[],"60538875":[],"60543038":24,"60619654":[],"6063219":[],"606439":[],"60673226":11,"606760":5,"60685864":[],"60791699":[],"6079169911277265":[],"608028":[],"60802823":[],"60815105":6,"6084611325305795":[],"60943791":[18,23],"60975366":23,"60980325":[],"60it":[],"61":[2,7],"61033524":[],"6111111111111112":1,"61123608":[],"612939":[23,24],"613579":[23,24],"61399851":[],"613999":[],"61406871":[],"614133":[],"61413333":[],"61463451":[],"614808":[11,24],"6149274949460215":[],"61520194e":[],"61536670e":24,"6153846153846154":9,"61576236e":[],"61634314":[],"61702282":6,"617572":[],"61757228":[],"618":[],"61808351":[],"618982":[23,24],"61899355e":[],"6199381169260247":[],"62":[],"621102":23,"62168613":[],"62170669":[],"621707":[],"62249103":[],"62364974":[],"62373464":11,"624220":11,"62422045":11,"62432074":[],"62451626e":24,"62470815e":[],"625":7,"62571673e":20,"62620724":[],"626635268":6,"62683307":[],"62759057":13,"62767384":[],"62806444":23,"62894215":5,"62896882":[],"62914124":23,"629961":[],"63":[0,1,6,7,24],"6300745149331701":24,"630224":[],"63025821e":6,"63112036":23,"63115792":23,"63162342":24,"63207808":[],"63249532e":6,"63270833":[],"63281351":23,"63332882e":[],"63367582":[],"633676":[],"633949":23,"63395187":[],"63430285":[],"6343356":5,"63498144":5,"63675140":[],"637104":11,"63710438":11,"637129335071195":24,"6371293350711955":[],"63734811e":[],"637545":[],"63754524":[],"63860687":[],"63862189":[],"63901111":[],"63it":[],"64":[1,2,3,4,7,13,18,23],"64012627":5,"64033527":23,"64064128":[],"64113381e":[],"64141716e":[],"642380":[],"64238022":[],"64293754":[],"64298419":23,"6431453":[],"64425009":[],"645":[],"64528459":[],"645285":[],"64615384615385":[],"646283":[11,24],"647":6,"64736858":18,"64742912e":6,"647473":[11,24],"6489862":[],"649339":[],"64933923":[],"649382":[11,24],"64972151":23,"64x50":1,"65":[1,2,7,8,9],"65136857":[],"65280103":[],"6530742540053943":[],"65335632":18,"653578701904388":9,"65359027e":24,"6536392":24,"65442354":24,"654424":24,"65444431":[],"65522261":[],"65571174e":24,"65578316":[],"65599456":24,"6562":[],"65626043":[],"65628853":[],"657041":23,"65743689":24,"65746064":[],"6577093":23,"65795279":18,"658":2,"65833132":24,"65885453":5,"65891389":24,"658914":24,"659":2,"659306":[],"65it":[],"66":2,"660":2,"66054752":[],"66064822":24,"66080313":24,"66087937":[],"66111673":[],"66204648":6,"66219404":6,"66226149":[],"66247212":[],"662854":[],"66285434":[],"6628996975186953":24,"66292841":[],"66294408":24,"66295776":[],"662958":[],"66310422":[],"6638":9,"66410989":[],"66443521":11,"6652177":24,"66560":9,"66614025":[],"66619972":[],"666200":[],"66620847":[],"66638078":[],"666597":23,"6669838269597004":[],"667":9,"667239":23,"668172":[23,24],"668186":[],"66818635":[],"66934291":[],"66950317e":[],"66973261":23,"66981186":[],"66it":[],"67":[2,9],"67047975e":6,"67054028":[],"671089":[],"67160204":23,"67236038e":24,"67258699":[],"672721":[23,24],"67314874e":[],"673457751724773":11,"67354673":23,"67442363":23,"67588315":[],"67591616":[],"67655635":23,"67697934":[],"67838309":[],"67882608":[],"67970864":[],"679709":[],"68":2,"68029036":[],"68040392e":24,"6808538439837775":[],"68127341":18,"68176047e":[],"68192193":5,"68246089":[],"682464":[],"68246434":[],"68279358":[],"68286725":24,"68322599":18,"6834195":[],"68485505":[],"68534263e":6,"68542204":5,"68545647e":[],"68626148e":[],"68664664":23,"6869":9,"68719389":[],"687194":[],"68731669e":20,"6887363571":4,"68886089e":20,"689230294669661":[],"68929213e":6,"689345":23,"68944595":[],"689519":[11,24],"68965135":[],"68it":6,"69":[2,7,9,20],"690":9,"69023787":[],"690569639355314":[],"69061276":[],"690617":[23,24],"69069n_":20,"69115646":[],"6914791":23,"69154964":18,"692":1,"6923076923076923":9,"69295955":[],"69313663e":24,"69356940e":24,"69363975e":[],"6943316601792833":[],"69481746":[],"69484813e":[],"69487891e":[],"69493539":[],"69504801":6,"6960326":[],"69634577e":6,"69695259":5,"69764852":18,"69826476e":[],"6984511994530214":[],"69908626":6,"69981939e":24,"69985355":[],"6999536":11,"69it":[],"6e75736fdab1":[],"6f7a6bd7d79f":[],"6m":[],"6n_":20,"6pm":23,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,18,19,20,22,23,24],"70":[1,6,7,9],"70037324e":24,"70127680":[],"701370":5,"70179437":[],"70205195":[],"70208087e":20,"70354373":[],"703716d317a7":[],"70421972e":[],"70434005":[],"70473799e":[],"7050":[],"70501534":18,"70598996":[],"70653767":4,"70710678":[5,24],"70721787":[],"707218":[],"70727837":[],"70769586":[],"70831425":[],"70832814":5,"7086067479626619":24,"709698":23,"70980493":[],"70it":6,"71":1,"71075825e":24,"71131626":[],"71142161":24,"711422":24,"7119":9,"712018":[11,24],"713163":23,"7134":[],"713487":[],"71348713":[],"71350226":[],"71441535":[],"7151":[],"71721168":[],"71737253":24,"71760245":[],"71761101":24,"718165":5,"71822416":[],"718697":[],"71869727":[],"72":[],"72057967":[],"72101205":[],"72174172":11,"72199579e":[],"722047011333792":[],"7221662":23,"72228205":23,"7225597":23,"72261919":[],"72271878e":6,"72347283":[],"7236674":5,"72373129":[],"72394787":[],"724":3,"72509099":[],"72522848":[],"72567956":5,"725680":5,"72594302":[],"72671218":[],"72855434":18,"72859758":5,"72904541e":24,"7293182":[],"72981762":8,"72986500e":20,"73":[2,6],"73005463":[],"7306310662842432":[],"731000":[23,24],"73174557":[],"73287103e":[],"733096":[23,24],"73406033e":[],"73484667":[],"735738558766299":[],"73573856":[],"73628359e":24,"737386":5,"73738602":5,"73752910":[],"7386068":[],"73947737":5,"73it":[],"74":[2,6],"740":9,"74081822":8,"741264":[],"74126425":[],"742975":[],"74297504":[],"74368436":[],"74384949":24,"743u":[],"7448615806559786":[],"74592114e":24,"74607851":24,"7469898175164704":[],"747224":11,"74722409":11,"74829661":24,"74840212":5,"7484669886413582":[],"74935095":18,"74943449":18,"749765":[23,24],"75":[2,5,6,8,9,11,23,24],"7501749450963715":[],"750445":[23,24],"75050135":24,"750u":[],"75106135":[],"75118364":[],"751275":[],"75127504":[],"751699":[11,24],"75170092":5,"75269037":24,"75350216":[],"75357263":11,"753573":11,"75357959e":[],"75361646":[],"753846153846155":[],"75453081":18,"7546383166870465":[],"75492292":18,"75517445":[],"75576555":24,"75621895":23,"756232":[],"75623206":[],"756352":[23,24],"75670484":5,"756705":5,"75703965":[],"757040":[],"75770568":24,"758193":[],"75819326":[],"75838233":[],"75853556e":[],"75it":[],"76":[2,9,21,23],"7601030735620569":11,"76060096":[],"76063234":[],"76066069":[],"763u":[],"76400155":23,"7643536":[],"765":7,"76529528":[],"76598941e":[],"76674796":[],"76731400e":[],"76802186":[],"768813":[],"76881337":[],"7692307692307693":9,"76923076923077":[],"76936315":5,"7694444444444445":1,"7696835316227453":11,"77":[2,9,21,23],"77034458":[],"770345":[],"7705527590466072":[],"77070756":5,"770708":5,"77085375":[],"77144798e":[],"77152076":5,"7718":9,"773329728649545":[],"77332973":[],"77333117e":[],"774300":[],"77494715":[],"775":[],"77533038e":[],"77559332":[],"77618224":[],"77627886":[],"77632220e":[],"77636e":13,"77662945":[],"7767978193240488":[],"77711437":[],"77714169":8,"77754132e":[],"7782028952":4,"77836133e":24,"77859437":23,"77865169":[],"77954956e":5,"78":2,"78009660e":24,"78011544":[],"78018374e":24,"78156479e":[],"78184120e":6,"78286771":[],"78329097":23,"7843182645426894":[],"78459267":18,"7846153846154":[],"785061":23,"7851533175757255":[],"78561443":18,"78596961":[],"7860324":18,"78674758":[],"787349":[],"7873493":[],"78752269":[],"78941903":5,"78972773":23,"78988962e":[],"79":2,"79009329":[],"790818":[],"79081838":[],"79093776":[],"79106527e":24,"79111643":5,"791123":[],"79135075":[],"79145214e":[],"79190435e":24,"7923086060375724":[],"79230861":[],"79285683e":[],"793167":[23,24],"79394867":[],"7939646":[],"79419162":23,"794282":[11,24],"79441434":[],"79449156":[],"79512696":[],"79552752":[],"79602861":[],"79754246":[],"797e":6,"79827506e":24,"79856831e":[],"798761":[],"79876149":[],"7bsq":[],"7c394b1e8b71":[],"7d7d58":[9,10],"7f2b3a6174c2":[],"7jexgh5soo":[],"7m":[],"7odqolophta":[],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],"80":[0,1,2,5,6,8,9,24],"800":[4,7],"800615":[],"80108096":23,"80162359":[],"802796":[],"80279641":[],"80280228":[],"80315282":[],"803153":[],"80344720e":[],"80354994":6,"803804":[],"80380438":[],"80422999":20,"80469739":5,"8049181":[],"8055555555555556":1,"80561191":[],"80609615e":6,"80609616e":6,"80638926e":[],"8064":[],"80661365":[],"806614":[],"80728853":[],"80734875":[],"807349":[],"80738685":[],"8074242":[],"80747253":[],"80842254":[],"808423":[],"80847477e":6,"80947943":23,"80961969e":20,"80994952":[],"81":[1,2],"81048318e":6,"8108619":[],"81160425":5,"81187794":[],"81333804":6,"81333805":[],"81388724e":[],"814":[7,11],"81447915":24,"815563":[],"81592628":[],"815am":[21,23],"81633628":11,"816454":[23,24],"81656508":23,"81671821":[],"81681019":[],"816847":[23,24],"8175":[],"818059":5,"81805914":5,"81912272":[],"8192798":[],"81955926":[],"81974332":[],"82":2,"82027884":18,"82073684":[],"82092612e":24,"8219235992494145":[],"8219236":[],"82198978":5,"82250097e":[],"82358522":[],"823585220707946":[],"82404007e":[],"82454365":[],"82484316":[],"82592":18,"82650876":[],"826509":[],"8265786":5,"82747653":[],"827477":[],"82750687":18,"82771329e":24,"82773778":[],"828190347382744":[],"82819035":[],"82949718e":20,"829648415811072":[],"82964842":[],"82975422e":24,"82997013e":5,"83":[2,23],"8305555555555556":1,"83320794":11,"833208":11,"8338786":[],"834027":[],"83402742":[],"83512277":5,"83516719e":20,"83632853":11,"836874":[],"83687444":[],"83698677":[],"83757843":[],"83760781":23,"839818":23,"83982725":[],"83999999999999":[],"83it":[],"84":2,"84031027e":[],"84062065":[],"84203538":[],"84228957e":[],"84232163":[],"842436":[23,24],"84292394":[],"842u":[],"84310736":[],"84317815":18,"84355903e":1,"8437169762110144":20,"84371698":20,"84443254e":1,"84569271":[],"84614066":[],"8461538461538461":9,"84653115":[],"84780262":6,"84854738":[],"848618":[],"84861838":[],"84886051":[],"848861":[],"84923989e":6,"84924834":[],"84942942":[],"84977962":[],"84994524":5,"85":[1,2,9],"850164":5,"8503720991789538":[],"85065653":[],"85071429e":[],"85086629":[],"85091337":[],"85102768":11,"85104809":18,"85120833":[],"85263220":6,"8527777777777777":[],"85278920e":[],"853241":[],"85324115":[],"853835":23,"853u":[],"8548082":[],"8557822":[],"85601992":5,"85694362":[],"85758696":[],"858":9,"858185":23,"8583333333333333":1,"85843684":[],"85953586":[],"85959007":[],"85979474e":[],"85it":6,"86":2,"86014003e":[],"86058560e":24,"8608479":[],"860848":[],"861":[],"86117291":5,"86134827":5,"86145244":11,"861676":23,"86171505":[],"86181269":18,"86252988":6,"86361743":[],"86387759e":24,"8638888888888889":1,"86425056":[],"864251":[],"86478158":[],"865158":5,"86515815":5,"86546962":[],"86550074":[],"86572911":23,"86597540e":24,"86623151":[],"86630":9,"86635201e":20,"8666666666666667":1,"86810":9,"86879198":[],"868792":[],"86893619":[],"869":[0,23],"86905621":[],"86925797":[],"869258":[],"87":[9,24],"870":[0,23],"8702784034":4,"8705211":[],"87072815e":24,"87099757":18,"871":[0,23],"87191952":[],"871920":[],"872":[],"8722222222222222":1,"87243817":[],"873":[0,23],"87327414":[],"87379129":13,"87381451":5,"874":[0,23],"874951":[],"87495119":[],"875":1,"87532289e":24,"8759":13,"876":6,"87618586":13,"87625493":[],"87647541":[],"876664":[],"87666423":[],"87667593906086":[],"87667594":[],"8768":[],"878123":23,"878297":[],"87836018":[],"87849647":[],"87902877":23,"8792323":[],"879271":[],"87927126":[],"87927601":[],"87940752":[],"87it":[],"88":[2,13],"88001352":[],"88017651":[],"880177":[],"88031314":[],"88046261":5,"8805555555555555":1,"88063413":[],"88118231":[],"88137798":[],"88168312e":6,"881788":[],"88182591":24,"8826033":[],"88274486":23,"883":[],"88323026":24,"88335933":18,"88336879":5,"88352503e":[],"884":[],"88450476":18,"884669":24,"88477619":[],"885":[],"8850944":[],"88512489":[],"88529063e":6,"8855417382991412":[],"88554174":[],"88560514":[],"88595926":[],"886":[],"88613493":24,"8866190885623907":[],"88661909":[],"88679947":[],"887":[],"887366":[],"88736621":[],"88746795":[],"8879":[],"88871662":[],"8888888888888888":1,"889080":[],"88908038":[],"8894":[],"889686":[],"89":[0,2],"89045167":[],"89126914e":24,"8916666666666667":[],"89274639":[],"89288636":11,"89298533":[],"89335182":[],"893352":[],"893489":[],"89348922":[],"89396164e":20,"89410423":5,"8944444444444445":1,"89543736":23,"89545727":[],"89550839":[],"89565264":[],"89582298":[],"89591553e":[],"8962476":[],"896248":[],"89842298":18,"89873772":[],"89876748":[],"8991514":[],"89944994":[],"899450":[],"8f":6,"8g":6,"8n":18,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,19,20,21,23,24],"90":[1,2,6,9],"900449":[],"9005135872087155":[],"90054363":[],"90066122":[],"9007164":[],"90075537":5,"9011":6,"90220243":5,"90252116":18,"90266948":5,"90268858":[],"9027777777777778":1,"9033":[],"90342093e":20,"903824":[],"90382431":[],"904":[],"9040":9,"904221":18,"90475506e":6,"90491568e":20,"90540529":[],"9055555555555556":1,"90559087":[],"905591":[],"90595152":[],"906298":11,"90629812":11,"906747":5,"90694878":[],"90813514":[],"9083333333333333":[],"90884627":[],"90895045":[],"90940378":[],"90999452e":[],"91":[21,23],"910":9,"9111111111111111":1,"91124889":[],"91128596":5,"912u":[],"913":[],"91346044":18,"91379157":[],"913791573406831":[],"91383439":[],"91396388":[],"914":[],"91416375":[],"91479093":[],"91492986e":6,"915":[],"91511388":[],"91549644":[],"915549":5,"916":[],"91616374":[],"916164":[],"9166666666666666":9,"91682433":[],"917":[],"91760278":5,"918":[],"91811160e":24,"91812702":5,"918992":[23,24],"919":[],"91936525":23,"9196398947631166":[],"91it":[],"92":[6,9,21,23],"92087142":[],"9212905":[],"921291":[],"92143477":[],"921435":[],"92169784e":24,"92208477":[],"922085":[],"92272314":[],"922u":[],"9230769230769231":9,"92337385e":24,"92343595":[],"923602":23,"92373266":[],"924018":[],"92461411":[],"92477093":[],"924e":6,"925":1,"92507116e":1,"9252772":[],"92578916":5,"92603747":[],"92626212":[],"92631966":[],"926320":[],"926583":[],"92658312":[],"92738529e":20,"92754397":[],"927544":[],"9277777777777778":1,"92811987":[],"92817032":[],"92819235":[],"92857143":7,"92888885":[],"92916438e":[],"9292":6,"92921648":[],"92968793":[],"92995253e":[],"92it":[],"93":[],"93023603":13,"93037171":[],"930372":[],"9305555555555556":1,"930583":[],"930683":[],"93082503":23,"931":[0,23],"93155188":5,"93158979":5,"93188452":[],"931885":[],"93229640e":[],"93248252":[],"932483":[],"932u":[],"933":5,"93325497":[],"93371943e":20,"93386901":18,"93414191":[],"93492130e":6,"93522293":13,"93579127":[],"93586895":[],"935u":[],"93601008e":24,"9361111111111111":[],"936762":[],"93676229":[],"936856":[],"93685631":[],"937":20,"937082":[23,24],"93792215e":[],"93799826":5,"938":20,"9383327":[],"9387":9,"939":[0,20,23],"94":[7,20],"9400":[],"94054854":[],"940549":[],"94076632":18,"940776":[],"94077605":[],"94107596":[],"94117118":23,"941866404575299":[],"94212937":[],"94226022e":6,"94227931":23,"9424":[],"94273542":24,"94284104":5,"94320205":5,"94321297":[],"9444444444444444":1,"945":[],"94548496":[],"94591015":[18,23],"946":[],"94639099":11,"946393":[],"94659383":[],"946957":5,"947":[],"9472222222222222":1,"94735055":[],"947903":[],"94790323":[],"948":[],"94822514":6,"9482527":5,"94861749e":[],"948641":[],"94867516":20,"948675162607389":20,"949":[],"94905663":[],"94915262":[],"94917559e":[],"9492866":18,"94986593":[],"95":[1,7,9,11],"95008046":6,"95011994e":20,"95054046":[],"95079224":24,"95079764":[],"95136998":0,"95231424":5,"952387":24,"9524":[],"9527777777777777":1,"95284275":5,"95302":[],"953065564":1,"95351665":5,"9538239":[],"954":20,"95446837":[],"9549351910143222":[],"954988":[],"954u":[],"95511792":24,"955118":24,"9555555555555556":1,"95569422":[],"955820c21e8b":4,"95645365":11,"956454":11,"956563":[11,24],"95684892":5,"95703":13,"95714723":[],"957147232685324":[],"957421":[],"95742107":[],"958228616652075":[],"9582286166520774":5,"95824108":18,"958476":[],"95911004":18,"95994091":[],"95it":[],"96":[6,7,11],"960":20,"9601304850018328e":[],"960130485007504e":6,"960130485007934e":[],"9601304850213484e":[],"96013048502692e":6,"96024953":5,"96032148":[],"96081861":18,"96084663":5,"961":20,"962":20,"96251494":18,"96257580e":24,"9626883":[],"962990":23,"9631064":23,"9635449873404844":[],"9637117593816477":6,"96390357":[],"9640435":5,"964268":[],"96426825":[],"96431281":23,"964735":[],"96473528":[],"96489434":[],"9649652536":4,"96496641":18,"96527903":[],"96534137":18,"96542994e":[],"96551427e":[],"96552318":23,"965548":[23,24],"96601782":[],"96606158":[],"96620033":[],"96631321":24,"96653373":[],"96670977":[],"96686324e":[],"96688672":5,"966899":23,"96735081e":[],"9674916":5,"967536":[],"9675364":[],"96769675":[],"9678":[],"967809":[11,24],"96812218":[],"96863851":[],"96941962":23,"96987657":[],"96992454":[],"96it":[],"97":7,"97005689":5,"970057":[],"970477":[],"97047717":[],"97065296":[],"97108e":13,"97117751":[],"971688":18,"97200305e":24,"97202":[],"9722222222222222":1,"972286":11,"97228638":11,"97230501":[],"97243128":5,"97300836":5,"97305528e":20,"97434186":[],"97467734e":24,"97477238":[],"97497404e":6,"975":1,"97507735":5,"97509292":23,"97547354":[],"97547354476579":[],"975510299261579":[],"9760832":[],"97656972":13,"97665553e":24,"97705827":5,"97708897":11,"977089":11,"97713364":18,"97731700e":[],"977418":[],"97758848":5,"9777777777777777":1,"977880":[],"97788031":[],"9780387310732":22,"9780387848570":22,"9781492032632":22,"97840468":[],"978553":5,"97898392":[6,24],"97906022e":24,"97926491":5,"97952271":18,"97955570e":20,"97980332":13,"97it":[],"98":[0,1,7,9],"980":9,"98005862e":[],"98017611":[],"98036405":[],"9805555555555555":1,"98091621":5,"98129668":23,"981321":[23,24],"98139097":5,"98153145":[],"98248312":[],"98249059":[],"982491":[],"98266587":[],"98275501":5,"982758":[],"98275836":[],"98316352":[],"983164":[],"983310":[23,24],"98346748":[],"9835443722554817":[],"98399675":[],"98400474":18,"98413059":5,"984525":[],"98454786":5,"98467494":[],"985":20,"98566191":5,"98581925":18,"986":20,"9861111111111112":1,"986699":5,"98680716":5,"98699753":[],"98716878":5,"98740124":[],"98756882":[],"98794823":[],"9879924":[],"98808176":5,"98822371":6,"98842948e":[],"98880065e":24,"9888888888888889":1,"989":20,"9890348":5,"9893149172528393":[],"9893447":5,"98947894":24,"98950411":23,"9898254753574576":[],"98982548":[],"9898ff":[9,10],"99":[7,9,11,13],"990":9,"99009525":5,"9902552771282336":[],"99049330":[],"99051150":6,"99088801":5,"991":20,"99115119":5,"99157584":[],"99176998":5,"992":20,"9920099299023244":[],"99242921":5,"992504":11,"99265097":5,"99274513":[],"993":20,"99316252":5,"99353454":[],"993535":[],"993537":[],"99353748":[],"99371056":5,"99374388":[],"993865":[],"99389612":5,"993972":[],"99397245":[],"9940672992288855":[],"9943201":5,"99435648":[],"9947756":5,"99492986":5,"99498108":[],"99519225":[],"9952495547161103":[],"99528218":5,"99539415":5,"99541140030306":24,"9954205504035075":24,"9954911579937146":[],"9955282554647219":[],"9956582":[],"99566069":5,"99578809":5,"9959293935368551":20,"99594988":[],"995950":[],"9959898232423614":[],"996":5,"9960039497353536":[],"99608161":5,"9962074631757628":[],"9963202597920238":[],"9963525271588923":[],"9963864072152893":[],"9963961":5,"99650061":5,"9965048209369255":[],"9966080206050006":24,"996694948530336":[],"9967458":5,"99700706":5,"99709215":5,"99724883":[],"99729756":5,"9973102337301051":[],"99751458":5,"99758326":5,"99775587":5,"99775949":[],"99793613":5,"99799099":5,"99813653":5,"99820454":[],"99828624":5,"99829953":[],"9983295":5,"99845267":5,"99854557":24,"998577":5,"99861053":5,"99862019":24,"99869482":24,"99871521":5,"99876945":24,"99881845":5,"99883628":24,"99884384":5,"99884409":24,"99891093":24,"99891873":24,"99893323":5,"99898558":24,"999":[9,20],"99901131e":[],"99901896":5,"99903755":5,"99906023":24,"99911427":5,"99912709":24,"99913489":24,"99918546":5,"99919837":5,"99920175":24,"99926459":5,"99927642":24,"9993237":5,"99933188":5,"9993511":24,"99938942":5,"99941797":24,"9994385":5,"99944272":5,"99948754e":24,"99949266":24,"99949306":5,"99953381":5,"99953475":5,"99956735":24,"99957911":5,"99961294":5,"99965056":5,"99967865":5,"99970894":24,"99970988":5,"9997332":5,"99975913":5,"99977416":[],"99977849":5,"99978365":24,"99980002":5,"9998161":5,"99984732":5,"99987324":5,"99989476":5,"99991263":5,"99992698":[],"999927":[],"99992746":5,"99993978":5,"99995":5,"9999555851685968":[],"999955585168597":6,"9999840939906267":[],"9999858320366368":[],"9qcu8vcxxru":[],"9x":6,"9y":6,"\u00f8yvind":[6,24],"abstract":1,"boolean":4,"break":[0,4,6,11,14,23],"byte":[18,23],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,17,18,23],"catch":[0,23],"char":[],"class":[0,1,3,4,6,7,8,9,11,12,13,20,23],"const":[],"default":[0,1,2,4,6,7,13,16,18,23,24],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,24],"ekstr\u00f8m":4,"eng\u00f8i":[],"enum":[3,4,14],"export":9,"f\u00f8470":[21,23],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,19,20,21,23],"float":[0,3,4,5,9,11,13,14,18,23,24],"function":[2,3,4,5,9,14,15,16,17,18],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,16,20],"int":[0,1,2,3,4,5,6,11,13,14,18,20,24],"long":[0,1,3,4,12,13,23],"m\u00f8svatn":6,"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,18,23,24],"null":23,"public":[0,3,4,14,17,23],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,18,20,23,24],"s\u00f8rli":[],"s\u00f8rlie":[],"sch\u00f8yen":[6,24],"short":[4,5],"steinsv\u00e5g":[],"super":[5,24],"switch":0,"throw":[3,6,20],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,20,23,24],"try":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,23,24],"var":[1,5,6,10,11,13,20,23,24],"while":[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],A:[2,3,5,6,7,10,11,12,13,16,17,18,19,20,21,22,24],AND:2,And:[0,3,4,5,6,9,13,17,20],As:[0,1,2,3,4,5,6,8,10,12,13,16,18,20,23,24],At:[0,4,6,13,23],BE:[0,23],Be:[2,17,23],Being:13,But:[0,1,2,3,5,6,9,10,20,24],By:[0,3,5,6,12,13,18,23,24],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24],IF:6,IN:22,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],Is:11,Ising:[5,12,24],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],Its:[1,2,4,11],NO:[7,11],No:[6,9,23],Not:[0,1,5,6,23,24],OR:20,Of:20,On:[0,3,15,19,20,21,22,23],One:[0,1,3,4,5,6,7,8,11,12,13,20,24],Or:[0,1,6,23],Such:[0,6,12,16,20],That:[0,5,7,10,11,12,14,20,23],The:[4,10,13,14,15,16,18,19,20,21,22],Then:[0,1,6,8,9,10,11,12,13,14,18,23,24],There:[0,3,4,5,6,8,9,11,12,14,18,19,20,21,23,24],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,18,20,21,23,24],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20],With:[0,5,6,8,9,10,11,12,14,18,20,23,24],_0:[5,8,10,11,13,24],_1:[2,5,6,8,10,11,12,13,14,18,24],_2:[2,5,8,11,12,13,18,24],_3:18,_4:18,_9:13,_:[0,1,2,4,5,6,7,8,9,10,11,12,13,18,23,24],_________________________________________________________________:[],__call__:[],__class__:10,__doc__:6,__future__:[8,9],__getitem__:[],__init__:[1,2,3,4,14],__main__:2,__mosek:[],__mul__:2,__name__:[2,10],__traceback__:[],__version__:[3,4,14],_api:[3,4,14],_asarrai:[],_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,18,20,24],_auto2:[2,3,4,5,6,12,13,18,20],_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],_ax:[],_base:8,_broadcasting_shape_rul:[3,4,14],_build:[0,17,22,23],_build_call_output:[],_c:1,_call:[],_call_flat:[],_check_1d:[],_check_optimize_result:[7,11],_compon:11,_config_pb2:[],_coordinate_desc:6,_copy_docstring_and_deprec:[],_cpgg0jyh8m:[],_decor:[0,23],_delta:[3,4,14],_depth:9,_dilate_shap:[3,4,14],_ey:[3,4,14],_fraction:9,_get_lin:[],_getitem_multilevel:[],_handl:[],_i:[0,1,2,5,6,7,8,11,12,13,15,16,23,24],_inference_funct:[],_interpolatefunctionerror:[],_is_primit:[],_j:[0,1,2,3,5,6,8,13,24],_jit_compil:[],_k:13,_l:12,_lambda:[6,23],_leaf:9,_logist:[7,11],_m:10,_make_vjp:[2,13],_maybe_define_funct:[],_multilayer_perceptron:1,_n:[2,5,8,11,13,24],_node:[2,9,13],_not_impl:[3,4,14],_notokstatusexcept:[],_np:[],_num_output:[],_one:[3,4,14],_p:[5,8,24],_plot_arg:[],_process_traceback_fram:[],_r:[],_ratio:11,_reduce_and:[3,4,14],_reduce_max:[3,4,14],_reduce_min:[3,4,14],_reduce_or:[3,4,14],_reduce_sum:[3,4,14],_reduce_window_max:[3,4,14],_reduce_window_min:[3,4,14],_reduce_window_prod:[3,4,14],_reduce_window_sum:[3,4,14],_sampl:9,_select_forward_and_backward_funct:[],_split:[6,9],_src:[3,4,14],_stateful_fn:[],_stateless_fn:[],_sy:[3,4,14],_t:13,_test:6,_trace:[2,13],_tri:[3,4,14],_upcast_fp16_for_comput:[3,4,14],_valu:[2,13],_varianc:11,_weight:9,_xla_comput:[3,4,14],_zero:[3,4,14],a0:3,a0faa0:[9,10],a1:[0,23],a2:[0,23],a3:[0,23],a4:[0,23],a_0:[0,23],a_1a:[0,23],a_2a:[0,23],a_3:[0,23],a_3a:[0,23],a_4:[0,23],a_4a:[0,23],a_:[0,1,16,18,23,24],a_h:1,a_i:[0,1,2,12,23],a_j:[1,12],a_k:[0,1,12],a_ndim:[],aaron:22,ab:[0,2,5,13,14,23,24],ab_channel:17,abandon:1,abbrevi:19,abid:20,abil:[0,10,23],abl:[0,1,4,5,6,7,10,12,13,16,24],abort:[],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,21],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,22,23,24],abovement:6,abscissa:13,absolut:[0,2,5,6,13,23,24],absorb:24,acceler:13,accept:[0,3,6,9,23,24],access:[0,3,11,20,24],accid:[4,6],accident:[3,4,14],accmod:[],accompani:[0,23,24],accomplish:[8,9,13],accord:[0,1,2,5,6,9,12,13,14,15,16,20,23],accordingli:11,account:[0,3,5,13,15,20,23],accumul:[12,13,20],accur:[0,3,4,6,10,13],accuraci:[0,1,3,4,5,6,7,9,10,11,12,23,24],accuracy_scor:[0,1,10,23],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,18,23],aco:20,acquaint:[17,23],acquir:[1,17,23],acr:[0,24],across:[1,3,6,9,17,23],act:[1,3,18],action:20,activ:[0,2,3,4,9,19,21,23],actual:[0,1,4,5,6,8,11,16,18,20,23,24],ad:[1,3,4,5,8,13,14,15,16,18],ada_clf:10,adaboostclassifi:10,adadelta:13,adagrad:[],adam:[1,3,4,21,23],adapt:[4,6,13,22,24],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,20,23,24],add_lin:[],add_outgrad:2,add_subplot:[1,7,12,14],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,18,20,21,22,23,24],addition:[12,13],address:[1,9,11,13,23],adjac:[3,12],adjoint:[5,24],adjust:[0,5,12,13],admir:[0,23],advanc:[4,6,12,22,23],advantag:[1,3,5,6,10,13,18],adversari:23,afecionado:23,affect:3,affin:[0,3,8,11,24],afford:3,aficionado:23,aforement:14,african:[0,24],after:[0,1,2,4,5,6,9,11,12,13,15,17,18,20,23,24],afterward:[0,23],ag:[0,7,19,23,24],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,20,23,24],against:[1,4,7,10],agegroup:7,agegroupmean:7,aggreg:[9,10],agorithm:10,agre:[5,6,20],agreement:13,ahead:9,ai:[0,22],aid:11,aim:[0,1,4,6,7,11,14,15,16,17,18,24],ainv:5,airplan:3,aka:5,al:[0,2,4,15,16,22,23,24],alarm:[5,7],algebra:[0,3,5,13,17,24],algo:[],algorithm:[0,1,2,4,5,6,7,8,13,14,17,18,20,22,23],align:[0,2,5,6,7,8,13,20,23,24],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24],all_gath:[3,4,14],all_to_al:[3,4,14],allevi:[1,13],alloc:[3,18],allow:[0,1,2,3,5,6,8,10,13,15,16,17,18,23,24],almost:[0,1,6,8,11,13,20,23],alon:[2,9],along:[2,3,4,5,6,9,10,11,17,18,23,24],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,20,23,24],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,alreadi:[2,3,4,5,6,10,12,17,18,20,23,24],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24],alter:1,altern:[0,1,4,5,6,7,8,9,11,13,18,23,24],although:[0,1,5,6,8,10,13,16,23],alwai:[0,3,5,6,12,13,16,20,23,24],am:[4,24],ame2016:[0,23],american:[0,24],among:[0,3,5,9,10,12,18,23,24],amongst:5,amount:[0,1,3,4,6,8,10,14,17],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,24],an_:20,anaconda3:[],anaconda:[0,1,15,17,23],analog:13,analys:6,analysi:[1,3,4,7,14,15,16,18,22],analyt:[2,3,5,6,7,12,13,15,17,23,24],analyz:[0,1,3,4,5,6,14,16,20,23,24],andrew:1,angl:[0,3,9,24],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,20,23,24],anim:[4,12],ann:12,annot:[0,1,3,7,8,23,24],announc:23,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,18,20,23,24],anp:2,ans_vspac:2,ansatz:[0,23],answer:[0,1,3,5,6,18,21,23],antialias:[2,6],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,20],anytim:[21,23],apach:[1,3,4,14],apart:[11,13],api:[1,3,4,14,17,23],appar:2,appear:[0,1,3,13,16,18,20,23],append:[1,3,4,8,9,13,23],appendcon:[],appendvar:[],appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,20,22,23,24],applic:[0,1,3,4,5,6,7,9,12,13,18,20,22,23,24],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,20,22,24],appropri:[2,6,9,12,13,17,20],approv:23,approx:[0,2,3,6,10,11,13,20,23],approxim:[0,1,2,3,4,5,6,7,10,11,13,20,23,24],apt:[0,15,17,23],aq:20,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],aragorn:23,arang:[1,3,4,6,7,9,10,12,13,23],arbitrari:[1,4,6,8,12,13,20],arbitrarili:[0,1,11,23],arc:6,architectur:[3,4,12],area:[0,3,6,9,22,23],arg:[0,2,13,23],argc:[],argmax:[1,11],argmin:[4,10,14],argnum:[2,13],argnum_0:2,argnum_1:2,argsort:11,argu:[1,13],argument:[0,2,3,5,6,11,12,13,23,24],argv:[],argval:2,aris:[0,6,12,13,20,23],arithmet:[0,13,18,23],arm:[3,4,6,14],arma:[],armadillo:18,around:[0,1,4,5,6,11,20,23],arr:2,arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,20,24],arrang:[3,23],arraybox:[2,13],arriv:[0,6,9,11,18,20,23],arrow:12,arrowprop:8,art3d:13,art:[0,1,15,17,23],articl:[0,3,4,6,10,23,24],artifici:[0,2,7,12,22,23],artificialneuron:12,arug:13,arxiv:[3,4],as_fram:24,asap:23,asarrai:[0,2,6,9,24],asc:[],ascii:[],ashrafi:[],asid:24,ask:[5,6,11,12],aspect:[0,6,17,23,24],assembl:[0,3,23],assert:4,assess:[0,6,23,24],assici:4,assign:[0,7,8,9,12,13,14,19,21,22,23,24],associ:[0,6,9,12,14,20,23],associative_scan:[3,4,14],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],assumpt:[0,3,5,6,9,11,20,23,24],ast:[0,5,6,23],astronomi:[23,24],astyp:[4,9,10],asymmetri:[0,23],asymptot:[4,6],async_wait:[],atla:23,atoi:[],atom:[0,23],attempt:[0,4,6,7,8,10,23],attend:19,attent:[0,18,23],attr:[],attract:[0,10,23],attribut:[0,3,4,9,13,14,23],attributeerror:[3,4,13,14],audi:[0,23],audio:[3,4],august:[15,16,23],aurelien:[0,15,19,22,23],austfjel:6,author:[0,1,3,4,10,14,20,23],authour:23,auto:[6,9,10,20],autocor:20,autocorrelation_tim:20,autocorrelform:20,autocovari:20,autoencod:[4,17,23],autoencond:17,autograd:[17,23],autograph:[3,4,14],autom:[0,17,22,23],automac:18,automag:23,automat:[0,1,2,3,4,11,16,17,18,23],automobil:3,autonom:4,avail:[0,1,4,6,10,11,15,17,18,19,21,22,23],averag:[0,1,3,6,9,10,13,14,20,21,23,24],avg:[],avoid:[0,3,4,5,6,9,11,13,14,18,23,24],avx2:[],avx:[],awai:[2,3,6,24],awar:[2,10],award:[21,23],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,23,24],axes3d:[2,6,13],axes_grid1:6,axessubplot:24,axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,20,23,24],axiom:5,axlabel:[0,23],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,20,21,23,24],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:[0,1,2,12,23],b_ia_:[0,23],b_ia_i:0,b_index:9,b_is_vec:[],b_j:[1,12],b_k:[0,1,12,13],b_m:12,b_meta:[],b_score:9,b_valu:9,bachelor:[19,21],back:[0,3,4,5,6,8,9,10,15,18,20,23,24],backbon:18,backend:[1,4],backend_specific_transl:[3,4,14],background:[22,23,24],backpropag:1,backtrack:9,backup:18,backward:[1,2,4,12,18],backward_pass:2,bad:[6,24],badli:20,bag:[9,17,23],bag_clf:10,baggin:23,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:6,band:18,bandwidth:18,bar:[0,6,11,15,16,23],barber:22,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,17,20,21,22,23,24],basi:[5,7,8,10,11,12,13,18,24],basic:[2,6,8,12,13,14,17,20,23],batch:[3,4,11,12,13,14],batch_shap:4,batch_siz:[1,3,4],batchnorm:4,bay:7,bayesian:[5,17,22,23],bbupeevmxtg:[],bc298b802fe2:[],beam:23,becattini:21,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,23],beccatini:23,becom:[0,1,2,5,6,7,9,12,13,20,23,24],been:[0,1,2,3,4,5,6,11,12,13,17,18,23,24],befor:[0,1,2,3,4,5,6,7,8,12,13,14,18,20,23,24],beforehand:[0,20,23],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,21,23,24],behav:[1,6,13],behavior:[0,1,13,23],behaviour:12,behind:[0,1,6,8,13,23],behnoosh:[],being:[0,1,2,3,4,5,7,8,10,11,12,13,20,23,24],believ:[9,18],belong:[7,8,9,13,14],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],benchmark:10,bendik:[],benefici:[1,13],benefit:[0,1,4,11,13,15,17,23],bengio:[1,19,22,23,24],benign:[1,7,9],bennosh:[],besid:[4,5],bessel:[5,24],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,21,23,24],beta:[0,1,3,5,6,7,10,11,13,16,23,24],beta_0:[0,1,3,5,6,7,13,23,24],beta_0x_:[0,23,24],beta_1:[0,1,3,5,6,7,10,13,23,24],beta_1x_0:[0,23],beta_1x_1:[0,7,23],beta_1x_2:[0,23],beta_1x_:[0,23,24],beta_1x_i:[7,13,24],beta_2:[0,3,13,23,24],beta_2x_0:[0,23],beta_2x_1:[0,23],beta_2x_2:[0,7,23],beta_2x_:[0,23,24],beta_2x_i:24,beta_3:3,beta_3x_i:24,beta_4x_i:24,beta_:[0,3,6,7,13,23,24],beta_i:[0,3,5,23,24],beta_j:[0,5,6,13,23,24],beta_k:13,beta_linreg:13,beta_m:10,beta_mg_m:10,beta_n:3,beta_p:7,beta_px_p:7,betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,23,24],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,20,23,24],beyond:[0,1,5,6,8,13,23,24],bf:[13,14,18,20],bgd:13,bia:[0,1,2,3,5,8,9,10,12,13,23,24],bias:[1,2,3,5,6,9,12],big:[0,1,2,5,6,14,23],bigger:[1,6,24],bigr:12,bike:9,bilbo:23,bilek:[],billion:[3,12,17],bin:[0,7,20,24],binari:[0,2,3,5,7,9,10,12,23],binarycrossentropi:4,bind:[0,24],binomi:[17,20,23],binsboot:6,bioinformat:[0,23],biolog:[1,12],bios1100:[17,23],bird:[0,3,23],birth:23,bishop:[19,22,23],bit:[1,4,18,20,23],bitwis:[3,4,14,20],bivari:2,bk:[0,13,24],bla:[18,23],black:[8,9,14],bledso:23,blob:23,block:[6,10,17,18,20,23],blockingavg:[],blockingstd:[],blockingvar:[],blocksiz:[],blocksizemax:[],blocksizemin:[],blogpost:4,blue:[0,3],bluntli:23,bm:24,bmatrix:[0,1,3,5,7,8,11,13,18,23,24],bmi:1,bodi:[0,1,4,12,23],bold:1,boldfac:[0,5,16,24],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,23],boltzmann:[12,17,23],book1:22,book:[22,23],boost:[1,9,17,23],boostrap:10,bootavg:[],bootstd:[],bootstrap:[1,13,17,23],bootvar:[],bootvec:[],borrow:23,boston_dataset:[0,24],bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,17,18,20,21,23,24],bottl:7,bound:[0,8,12,24],boundari:[2,4,8,11,12],boundkei:[],box:[4,9],boxed_arg:2,boyd:[8,13],bracket:[4,20],brain:[1,7,12],branch:9,breast:[5,7,11],breviti:13,brew:[0,15,17,23],brg:8,brief:24,briefli:[0,23],bring:[0,5,6,10,23,24],broad:[0,23],brought:[13,17,23],brownle:4,browser:23,brunton:[],brute:[3,5,11,24],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,18,20,23],built:[0,1,3,4,6,24],bunch:11,busi:[0,24],bx:[],bzl:[],c1:[8,11],c2:[8,11],c95af3df0cdd:[],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],c_0:20,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,20,24],c_i:[12,13],c_k:20,ca:[1,23],cabc613b8702:[],cach:10,cal:[0,8,10,12,13,15,16,23],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,20,23],california:24,call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],callabl:[],callback:[],calor:[0,24],cambridg:[13,22],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],cancel:[0,13,23,24],cancellation_manag:[],cancer:[5,10],cancerpd:7,candid:[8,9,10],cannot:[0,1,4,5,6,7,8,9,19,20,23,24],canopi:[0,15,17,23],canva:23,cap:5,capabl:[0,1,8,13,17,23],capac:[2,21],capita:[0,24],captur:[4,11,12],captured_input:[],car:[3,4],card:[0,7,23],cardin:1,care:11,carefulli:13,carlo:[0,6,17,20,22,23],carri:[2,6,7],cart:10,carvalho:[],casella:22,cast:1,cat:[3,4],categor:[0,1,3,9,11,23],categori:[0,1,3,7,10,12,14,23,24],categorical_crossentropi:[1,3],caus:[0,5,6,20,23,24],causal:0,causat:[0,23],cax:1,cb:[6,23],cbar:1,cbook:[],cc:[0,1,5,13,23,24],ccc:[5,12],cd_fast:6,cdf:20,cdot:[0,2,6,12,13,14,18,20,23],celebr:13,cell:[0,2,3,4,6,9,10,13,14,15,23],center:[0,1,6,7,8,9,11,14,20,23],centr:[],central:[0,3,5,6,8,16,18,23,24],centroid:[14,20],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,20,23,24],cg:13,cha:[0,24],chain:[0,1,13,17,20,23],chanc:[1,5,13,20],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,18,20,23,24],channel:3,chapter3:0,chapter:[0,6,10,11,18,22,23,24],charact:[0,3,5,8,23,24],character:[8,9,10,12,20],characterist:[0,1,3,10,13,23],charg:[0,23],charl:[0,24],chase:4,chat:23,chd:7,chddata:7,cheap:[5,24],cheaper:[1,13],check:[0,1,3,4,5,6,11,13,18,23,24],checkmark:3,checkpoint:[3,4,14],checkpoint_dir:4,checkpoint_prefix:4,chemic:[],chen:10,chiaramont:2,choic:[0,1,2,3,4,6,9,12,13,14,18,23,24],choleski:[5,18,24],choos:[2,3,6,9,10,11,13,14],chosen:[0,1,2,6,8,9,10,13,16,20,23],chosen_datapoint:1,christian:22,christoph:[19,22,23],cifar10:3,cifar:3,cin:[],circ:[1,12],circl:[0,8,12,24],circuit:3,circumfer:9,circumv:[1,5,13,24],ckpt:4,clariti:20,class_nam:[3,9],class_val:9,class_valu:9,class_weight:[],classic:[7,9,13],classif:[0,3,5,6,7,8,11,12,17,22,23,24],classifi:[0,1,4,7,9,10,11,23],classificaton:1,classifii:10,clean:1,clear:[1,5,10,12,13],clearli:[0,3,5,6,7,8,20,24],clever:[1,10],clf3:0,clf:[0,6,8,9,10,23,24],clf_lasso:6,clf_ridg:[6,23],clip:[3,20],clone:21,close:[0,1,2,4,6,8,9,11,12,13,14,20,22,23],closer:[3,5,13,24],closest:[8,11,13,14],closur:[17,23],cloud:[17,23],cluster:[0,1,4,6,11,17,23],cluster_label:14,cm:[1,2,3,6,8,9,13],cmap:[0,1,2,3,4,6,8,9,10,23],cmap_arg:6,cmath:[],cmb:19,cmd:9,cmu:24,cn_:20,cnn:12,cnn_kera:3,cntk:[17,23],co:[0,2,3,6,9,13,23],code:[3,4,6,7,8,15,16,17,18,20,22],coef0:8,coef:[0,23],coef_:[0,5,6,8,9,13,23,24],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,18,23,24],coerc:[0,6,23],coin:[10,20],coin_toss:10,col:[0,11,23,24],colab:[17,23],cold:9,colinear:[0,24],collaps:8,collect:[0,2,6,10,11,17,20,22,23],collinear:[5,24],color:[0,3,4,6,8,9,10,20],color_channel:3,color_cod:6,colorbar:[1,6],colsample_bytre:10,colsaobject:10,colspec:[0,23],column:[0,1,2,5,6,7,8,9,11,12,18,23,24],columntransform:9,com:[3,4,6,14,17,22,23],combin:[1,2,5,6,7,10,20],come:[0,1,3,4,5,12,13,14,15,23,24],command:[0,1,23],comment:[0,4,5,6,15,16,23,24],commerci:[0,15,17,23],commod:[0,23],common:[0,1,3,5,6,7,9,11,13,14,20,23,24],commonli:[0,1,4,6,7,9,13,14,24],commun:[0,12],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,23,24],compair:0,compar:[0,3,4,5,6,11,13,15,16,18,23,24],comparison:[2,4,13],compat:[3,4,7,14],compet:[0,23],competit:10,compil:[0,1,3,4,13,15,17,18,23],complet:[0,2,3,4,9,12,23],completenn:12,complex:[1,5,8,9,11,12,13,15,16,23],complic:[0,1,9,13,23],compoment:24,compon:[0,1,3,4,5,6,7,9,14,16,17,23,24],components_:11,compos:[9,12,13,14,17,23],compphys:[0,6,17,19,21,22,23,24],compress:[0,23,24],compris:6,compromis:[5,24],compulsori:[17,23],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,23,24],computation:[0,3,6,9,13,20,23],computationalscienceuio:23,con:[],concat:23,concaten:[2,4,6,14],concav:[1,9,13,24],concentr:[0,10,24],concept:[0,2,17,23,24],conceptu:[12,13],concern:[0,1,4,7,23],concic:23,conclud:[0,5,13],conclus:1,cond:[2,3,4,14],conda:[0,1,15,17,23],condis:24,condit:[0,2,4,5,6,8,9,11,13,20,23,24],conduct:[17,23],condwav:2,coneqp:[],confid:[0,5,6,7,8,23,24],config:[3,4,14],config_pb2:[],configur:3,confirm:[5,12],confus:[5,6,7,10,18,24],confusion_matrix:9,congruenti:20,conjug:[4,8],conjugaci:13,conjunct:3,connect:[0,1,3,4,9,11,12,13,18,23,24],consequ:[5,6,8,10,12,13,24],conserv:[5,14,24],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,18,20,23,24],consider:[0,1,5,13,23,24],consist:[0,1,2,3,4,6,12,13,20,24],constant:[0,2,3,4,5,6,8,12,13,14,20,23,24],constitu:[0,23],constitut:[2,6],constrain:[1,3,5,7,11],constraint:[5,6,8,13,24],construct:[0,1,2,3,5,6,7,8,9,10,11,18,20,23,24],contact:[0,23],contain:[0,2,3,4,5,6,7,8,9,11,12,13,14,18,20,22,23,24],contemporari:23,content:[1,17,18,23],context:[6,10,13],contigu:18,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,18,20,23,24],contour:[9,10,13],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,20,23,24],contributor:[0,23],control:[0,1,3,9,13,15,17,23],control_flow:[3,4,14],conv2d:[3,4],conv2dtranspos:4,conv:[3,4],conv_general_dilated_patch:[3,4,14],convei:23,conveni:[0,5,6,12,13,18,23],convent:[12,24],converg:[1,2,4,5,6,7,8,11,13,14,24],convergencewarn:[1,6,7,8,11],convert:[0,1,3,4,5,9,11,13,14,18,23,24],convert_phas:[3,4,14],converter_error_data_pb2:[3,4,14],converttomatrix:4,convex:[4,5,7,24],convinc:13,convolut:[1,4,17,23],cool:[4,9],coolwarm:6,coordin:[5,12,14,24],coorel:[0,24],copi:[0,1,2,14,24],copyright:[3,4,14],core:[2,3,4,10,13,14,23],corel:23,coronari:7,corr:[0,5,7,11,24],correalt:[11,17],correct:[0,1,2,3,4,5,7,13,18,20,23,24],correctli:[1,2,6,7,10],correl:[0,1,3,5,6,7,10,12,13,17,20,23],correlation_matrix:[0,5,7,11,24],correspond:[0,3,5,6,8,9,11,12,15,16,17,18,20,23,24],cortex:12,cosin:[3,6],cost:[0,2,3,5,6,7,8,9,12,13,16,23],cost_deep_grad:2,cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_grad:2,cost_sum:2,costol:13,could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],coulomb:[0,23],count:[0,9,19,20,21,23],countor:13,coupl:[4,5,6],cours:[0,1,3,5,11,19,21,24],courvil:[19,22,23,24],cout:[],cov:[5,6,11,18,20,23,24],cov_xi:[5,11,24],cov_xx:[5,11,24],cov_yi:[5,11,24],covari:[0,7,17,18,23],covariance_matrix:[5,11,14,24],cover:[0,5,17,21,22,24],covert:[0,23],covxi:20,covxx:20,covxz:20,covyi:20,covyz:20,covzz:20,cpj4mh7m9no:[],cpu:[1,3,4,14],cpu_feature_guard:[],craft:3,crawford:23,creat:[1,2,3,4,5,6,9,10,11,12,13,17,23],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,24],credit:[0,7,21,23],crim:[0,24],crime:[0,24],criteria:[0,4,9,10,14,20,23],criterion:[9,10,13],critic:[6,23,24],cross:[0,1,3,7,9,10,13,17,20,23,24],cross_entropi:4,cross_val_scor:6,cross_valid:[7,10],crossvalid:6,crucial:[1,20],cs231:3,cs:[19,21],csr_matrix:[18,23],cstdlib:[],csv:[0,4,6,7,9,23],ctnk:1,ctx:[],cubic:0,cumbersom:5,cumsum:[10,11,23],cumul:[7,10,20],cumulative_heads_ratio:10,cup:5,current:[1,2,3,4,6,13,14,22],curs:[0,24],curv:[6,7,10,12],curvatur:13,custom:[6,14],custom_cmap2:[9,10],custom_cmap:[9,10],cutpoint:9,cv:[6,7,10],cvxbook:13,cvxopt:[5,8,24],cyber:[],cycl:[1,3,4,12,14],cyclotron:24,d1:[],d2:[],d2_g_t:2,d3:[],d670a873ab0c:[],d985fb40c43d:[],d:[1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,21,23,24],d_f:13,d_g_t:2,d_net_out:2,da:3,dagger:[5,18,24],dai:[1,9,17],dalen:[],damp:3,daniel:[21,23],darget:9,darkr:20,dat:[0,23],dat_id:[0,6,7,9,23,24],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,18,22],data_handl:[],data_id:[0,6,7,9,23,24],data_indic:1,data_modul:24,data_panda:23,data_path:[0,6,7,9,23,24],data_url:24,databas:1,databookuw:[],datafil:[0,6,7,9,23,24],datafram:[0,4,5,7,9,11,23,24],datapoint:[1,5,6,7,11,13,24],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,23,24],datatyp:4,date:[15,16,23,24],daughter:10,david:22,dbh:1,dbo:1,dcomposit:18,ddot:2,dead:1,deadlin:[16,19],deal:[0,1,3,5,6,8,11,13,14,18,20,23,24],dealt:0,debt:7,debug:[0,5,6],decad:[0,3,23],decai:[0,13,20,23],decemb:[19,21,23],decent:10,decid:[0,2,3,5,6,9],decim:[0,23],decis:[0,1,8,11,17,22,23],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],declar:[0,4,18,23],decompos:[5,6,18,24],decomposit:[0,6,12,23],decompost:[5,24],deconvolut:3,decor:[0,23],decorrel:[10,13],decreas:[1,2,4,5,6,10,11,13],deduc:[0,23],deep:[3,7,12,13,17,19,22,23,24],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepen:[5,17,23],deeper:[0,3,4,23],deeplearningbook:22,deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,20,23,24],def_covari:20,def_funct:[],default_tim:4,defect:[5,24],defici:[5,24],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,24],definit:[1,2,5,6,7,8,10,11,12,13,18,20,24],defint:20,defun:[],defvjp:2,degre:[3,5,6,8,9,10,11,15,16,20,23],del:1,delet:6,delimit:4,deliv:[19,23],delta:[0,2,3,6,8,12,13,14,23],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,18],delta_h:[0,1,23],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_momentum:13,delta_n:[0,3,23],delug:17,delv:[0,23],demand:13,demonstr:[0,3,5,6,7,11,12,17,23,24],den:4,denomin:[1,5],denot:[1,2,6,7,13,20],dens:[1,3,4],dense_1:[],densiti:[0,2,6,20,23],depart:[21,23,24],depend:[0,1,2,4,5,6,7,8,11,12,13,15,17,18,20,23,24],depict:20,deploy:[0,15,17,23],deprec:[2,6,13,23,24],deprecate_nonkeyword_argu:[0,23],depth:[0,3,9,10,18],deriv:[0,1,2,6,7,8,10,11,13,16,17,23],derivati:13,derivative_fn:13,descend:[5,9,11,24],descent:[0,1,3,7,8,12,23,24],descr:24,describ:[0,2,4,5,6,8,10,11,12,13,18,23],descript:[0,8,9,23],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,23],designmatrix:[0,23],desir:[0,2,4,5,13,14,23,24],despit:[1,12],destroi:18,det:[5,18,24],detail:[0,6,11,13,14,18,24],detect:[3,8,12],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,18,20,23,24],determinist:[7,13,20],dev:1,develop:[0,3,5,8,10,11,12,17,18,23,24],deviat:[0,1,2,4,5,6,20,23,24],device_nam:[],devicearrai:[3,4,14],devis:12,df1:23,df:[4,8,11,13,23],di:[0,24],diag:[5,8,24],diagnost:[1,10],diagon:[0,5,7,13,18,20,23,24],diagonaliz:[5,24],diagram:10,diagsvd:6,dice:[6,20],dict:[6,8],dict_kei:24,dictionari:[0,24],did:[0,1,5,6,7,10,11,14,23],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,20,22,23,24],differenti:[0,3,16,17,18,23,24],differential_oper:[2,13],difficult:[0,1,6,10,13,20,23],difficulti:[0,1,13,23],diffonedim:2,digit:[0,1,3,4,6,19,21,23],dilemma:13,dilut:1,dim:[4,11,14,18],dimens:[0,1,2,3,4,5,8,9,11,14,16,18,23,24],dimension:[0,4,5,6,9,11,13,14,17,18,23],dimensionless:[0,3,23],diment:18,dimnsion:4,diod:3,direct:[0,1,2,4,11,12,13,14,23,24],directli:[1,4,5,6,20,24],directori:9,disabl:[3,4,14],disadvantag:[0,23],disappear:[3,6],disc_loss:4,disc_tap:4,discard:[6,11],disciplin:[0,3,12,23],disclaim:20,discord:23,discourag:[13,24],discov:[0,23],discover:5,discret:[1,3,5,7,13],discrimin:[4,7,10,11],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],diseas:7,disguis:[6,24],disord:[1,7],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,20,23,24],displaystyl:[0,5,23,24],displot:24,disregard:[0,23],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,20,24],distance_list:9,distinct:[3,7,8,9,10,14],distinctli:8,distinguish:[0,4,7,8,20,23],distplot:[0,24],distribut:[0,1,4,6,7,10,11,13,14,15,16,17,18,23,24],distrubut:[0,15,17,23],div:[],dive:[0,8,18,23],diverg:[1,13],divid:[0,1,2,3,5,6,7,8,9,11,12,20,23,24],divis:[6,8,9,13,18,20],dna:7,dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,23],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,23],doc:[0,6,17,19,21,22,23,24],document:[4,7,11,13,24],doe:[0,1,2,3,4,5,6,8,10,11,12,13,16,18,20,23],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13],domin:[0,23],don:[0,1,3,5,6,8,11,13,15,17,23,24],done:[0,2,3,4,5,6,9,10,11,13,18,23,24],dot:[0,2,3,5,6,7,8,9,10,11,12,13,18,20,23,24],doubl:[3,4,18,23],doubli:1,down:[0,3,6,9,11,12,13,23],download:[0,1,3,5,6,18,22,23],downsampl:3,dozen:1,dq:6,drag:13,dramat:11,drastic:4,draw:[4,6,10,13],drawback:[0,1,3,13,24],drawn:[1,4,6,7,11,20,23],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,20,23,24],dropna:[0,6,23],dropout:4,ds:[],dt:[2,3,13,20],dtype:[0,1,2,3,4,14,18,23,24],dualiti:6,dub:[0,23],due:[1,2,5,6,8,10,12,13,21,23,24],dummi:[0,24],dure:[0,1,3,4,8,9,11,17,23],dwell:[0,24],dwh:1,dwo:1,dx:[2,3,8,20],dx_1:20,dx_1p:6,dx_2p:6,dx_mp:6,dx_n:20,dxp:6,dy:[1,8,20],dynam:4,dysth:[],dz:8,e7cu:[],e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,21,23,24],e_:[0,2,23],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,23,24],eager:[],eapprox:[0,23],earli:[1,13],earlier:[0,5,7,8,9,11,12,13,23,24],earthexplor:6,eas:[6,9,14],easi:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],easier:[5,6,8,9,13,20,23,24],easiest:13,easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,24],eastern:[21,23],ebind:[0,23],eblock:9,econometr:23,economi:5,ecosystem:[17,23],ect:19,edg:3,edgecolor:6,edu:[13,24],educ:[0,23,24],eface79dac2c:[],eff:20,effect:[1,4,10,13,20],effic:1,effici:[0,3,10,13,17,18,20,23],efron:6,egrad:13,eig:[5,11,13,18,20,23,24],eigen:20,eigenpair:[5,11,24],eigenvalu:[0,5,8,11,13,18,23,24],eigenvector:[5,11,13,24],eight:[18,23],eigval:[18,20,23],eigvalu:[11,13],eigvec:[18,20,23],eigvector:[11,13],eispack:[18,23],either:[1,5,6,7,8,9,10,11,13,15,16,20,23,24],ekstrom:[],elabor:20,elarn:3,electr:[0,3,12,23],electron:23,electur:[],eleg:11,element:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,22,24],elementari:[10,13,18],elementwis:[3,13],elementwise_grad:[2,13],elessar:23,elif:[2,14],elim:18,elimin:[3,8],els:[1,2,3,4,7,9,12,13,18],elu:1,elus:[0,23],email:[19,21,23],embed:[0,11,24],embodi:6,emit:20,emner:22,emphas:[0,10,17,23],emphasi:[0,17,22,23],empir:[1,11,20],emploi:[0,1,5,6,11,13,20,23,24],employ:[0,23,24],empti:[6,10],emul:12,en:[17,22],enabl:11,enable_check:[3,4,14],enbodi:6,encapsul:[3,4,14],encod:[0,3,5,9,11,14,23,24],encompass:[0,20,23],encount:[0,1,5,6,7,13,20,23,24],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,21,23,24],end_box:[2,13],end_nod:[2,13],end_valu:[2,13],endl:[],endpoint:[3,6],energi:[0,4,6,24],enet_coordinate_desc:6,enforc:12,eng:22,engin:[0,1,3,4,17,23],english:[],enorm:3,enough:[0,6,13,23],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,20,24],ensure_initi:[],entail:23,enter:[5,6,24],enthought:[0,15,17,23],entir:[1,3,7,9,17,20,23],entiti:[9,12,18,23],entri:[0,5,8,11,12,18,23,24],entropi:[1,3,7,10,13,23],enumer:[0,1,2,3,4,6,8,23,24],env:[0,1,2,3,4,6,7,8,11,13,14,20,23,24],environ:[2,17],eo:[0,6,23],eol:[0,23],eosfit:[0,23],epoch:[0,1,3,4,12,13,23],epsilon:[0,5,6,7,13,23,24],epsilon_0:[0,23],epsilon_1:[0,23],epsilon_2:[0,23],epsilon_:[0,23],epsilon_i:[0,23,24],eq:[3,13,14,18,20],eqnarrai:[3,5,6],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,18,20,23,24],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,18,20],equilibrium:[2,12],equiv:[3,13,18,20],equival:[0,1,5,7,8,11,13,17,18,23,24],erf:20,eriador:23,eridg:23,err:[0,10],err_:6,err_sqr:2,errat:13,errno:9,erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,20],error_estimate_corr_tim:20,error_handl:[],error_hidden:1,error_output:1,escap:13,especi:[1,3,9,12,13],essenti:[0,5,6,9,10,12,14,20,24],establish:[0,6,10,11,15,23],estim:[0,1,5,6,7,10,11,13,17,20,23,24],estimated_mse_fold:6,estimated_mse_kfold:6,estimated_mse_sklearn:6,et:[0,2,4,15,16,22,23,24],eta0:[8,13],eta:[0,1,3,8,12,13,23],eta_:13,eta_t:13,eta_v:[0,1,3,23],etc:[0,1,3,5,7,8,9,11,12,13,14,15,17,18,20,24],ethic:[17,23,24],etsim:[],euclidean:[0,14,24],evalu:[0,2,3,4,5,6,9,13,20,23,24],evalut:13,even:[0,1,3,4,5,6,8,9,10,11,12,13,14,17,18,20,23,24],evenli:4,event:[3,4,5,7,10,14,20],eventu:[0,5,6,11,12,13,21,24],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,17,20,21,23,24],everyth:[4,12],everywher:[4,13],evolv:[0,23],exact:[0,2,5,11,12,13,18,20,23,24],exactli:[0,3,4,6,12,17,24],exam:23,examin:6,exampl:[5,11,12,13,15,16,17,18,20,22],exce:[1,12,13],excel:[0,1,4,5,10,23,24],except:[2,3,4,6,8,9,14,18],excess:[0,23],excit:[0,23],exclud:[1,6,12,24],exclus:[0,1,3,6,20,23],execut:[2,5,13,24],executing_eagerli:[],exemplifi:13,exercic:[21,23],exercis:[5,17,19,21],exhaust:6,exhibit:[0,5,6,8,23,24],exist:[0,1,2,3,5,6,7,8,9,13,18,23,24],exit:[5,18,24],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,20,23,24],exp_term:1,expand:[5,7,11,13,24],expans:[0,3,5,8,10,12,13,23,24],expect:[0,1,5,6,7,11,12,13,15,16,17,23,24],expectation_value_of_h_wrt_p:20,expens:[6,10,13],experi:[0,1,6,8,13,17,23,24],experiment:[0,3,4,6,9,14,20,23],experimental_get_tracing_count:[],expert:[1,9],explain:[0,6,9,10,11,13,23],explained_variance_ratio_:11,explanatori:[0,23],explicit:[0,3,6,13,18,23,24],explicitli:[0,4,23],explod:1,exploit:[0,3,12,13,23],explor:[1,4,6,8,13,17],expon:1,exponenti:[0,1,5,6,10,13,20,23],export_graphviz:9,export_text:9,exporttext:9,expos:[17,23],express:[0,2,3,5,6,7,10,12,13,16,18,20],exptmean:20,exptvari:20,extend:[0,2,7,11,13,17,23],extens:[0,12,15,17,23],extent:[0,1,6,22,23],extern:[3,6,9],extra:[1,3,5,21,23,24],extract:[0,3,5,6,7,8,11,13,18,23,24],extrapol:[0,23],extrem:[0,1,4,5,6,7,8,9,13,16,18,24],extremum:13,extrins:11,ey:[0,5,6,13,14,18,23],f11:[0,23],f12:[0,23],f13:[0,23],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,f3ckh:[],f401:[3,4,14],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,f6d7a289d493:[],f7:13,f7_grad:13,f7_grad_analyt:13,f8:13,f8_grad:13,f9:[0,13,23],f9_altern:13,f9_alternative_grad:13,f9_grad:13,f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,20,21,23,24],f_0:[3,10],f_1:[10,13],f_2:[12,13],f_3:12,f_:10,f_d:20,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:2,face:13,facecolor:[6,8,20],facil:[0,15,17,23],facilit:12,fact:[0,1,3,5,9,11,12,13,23,24],factor:[0,1,3,5,6,9,10,11,13,18,20,23,24],factori:13,fade:6,fafab0:[9,10],fahimeh:[21,23],fail:[0,6,7,8,11,13,21,23],failur:7,fairli:[1,2,20],fake:4,fake_loss:4,fake_output:4,fall:[8,9,19],fals:[0,1,2,3,4,5,6,7,9,10,14,18,23,24],famili:[0,7,8,20],familiar:[0,3,5,6,8,15,17,18,20,23],famou:[6,12],far:[0,3,4,5,6,8,11,12,13,14,23,24],fashion:[0,9,10,23],fast:[1,3,6,10,12,13,17,20,23],faster:[1,11,13],fastest:[13,18],favor:7,favorit:20,fc:3,fdf8a5d7c717:[],fdfcc778e1f8:[],fe5b9d300cc0:[],featur:[0,1,3,5,6,7,8,10,11,12,13,17,20,23],feature_nam:[0,1,7,9,24],feautur:9,fed:1,feed:[0,2,3,11,17,23],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,23],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,17,21,23],feet:[0,24],fei:23,fetch:[6,24],fetch_california_h:24,fetch_openml:24,few:[1,3,4,5,9,20,23],fewer:[0,9,11,23],ffnn:[1,12],fft2:[3,4,14],fft:[3,4,14],fft_batching_rul:[3,4,14],fft_p:[3,4,14],fftfreq:[3,4,14],fftn:[3,4,14],fftshift:[3,4,14],fgakzw6k1qq:[],field:[0,3,6,12,17,23],fifth:[0,6,15,16,23],fig:[0,1,2,3,4,6,7,12,13,14,23],fig_id:[0,6,7,9,23,24],figaxi:20,figsiz:[0,1,2,3,4,6,7,8,9,10,23,24],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,23,24],figure_id:[0,6,7,9,23,24],figurefil:[0,6,7,9,23,24],file:[0,2,3,4,5,6,7,9,13,14,23,24],file_prefix:4,filenam:[23,24],filenotfounderror:9,fileout:[],filepath_or_buff:[0,23],fill:[5,9,24],filter:[3,4],filtered_flat_arg:[],filtered_tb:[],financ:[0,23],find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,20,23,24],find_top_boxed_arg:[],fine:[0,14,15,23],finish:2,finit:[3,5,6,12,13,20,24],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,22],firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,20,24],fit_beta:[6,24],fit_intercept:[0,5,6,24],fit_mod:9,fit_transform:[0,6,8,9,11],fiti:[0,23],five:[0,9,23,24],fix:[0,3,4,6,10,11,12,13,23],fixedformatt:6,fixedloc:6,fkkt:[],flag:4,flake8:[3,4,14],flat:[12,13],flatbuff:[],flatten:[1,3,4,5,18],flexibl:[1,6,8,10,12,23,24],flip:[21,23],float32:[4,9],float64:[4,18,23,24],flop:[5,18,24],flow:[1,4,12],fluctuat:5,fly:11,flyvbjerg:[],fm:[0,23],fma:[],fmax:3,fmesh:13,fn:7,focu:[0,3,4,5,6,15,17,22,23,24],focus:[1,6,7,18,24],fold:[6,9],folder:[0,1,4,6,13,23],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],font:[0,7,20,23],fontdict:20,fontsiz:[1,6,8,9,10,20],fontweight:1,footprint:3,foral:[8,24],forc:[0,5,6,10,11,23,24],forcast:4,forecast:[4,12],forelesningsvideo:[],forest:[0,1,9,17,23],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,18,20,23,24],formal:[3,4,14,20],format:[0,1,2,3,4,6,7,8,9,10,11,17,20,22,24],format_data:4,formatstrformatt:[6,13],formul:[4,6,11,14],formula:[3,13,20],forth:[4,12],fortran2003:[17,23],fortran90:20,fortran:[0,15,17,18,23],fortun:[0,11,24],forward:[0,3,6,17,18,23],forward_backward:[],forward_compatibility_horizon:[3,4,14],found:[1,2,4,5,6,12,13,23,24],foundat:[17,23],four:[4,5,6,8,12,18,19,21,23],fourier:[0,23],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,23,24],fp:7,fr:[],frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],fractal:9,fraction:9,frame:[7,23],framework:[1,8,10,20],frank:[5,11],frankefunct:[5,6,11,24],fredli:[21,23],free:[0,6,11,13,15,16,17,18,20,21,22,23],freecodecamp:17,freedom:5,freeli:[0,23],frequenc:[3,6,7,20],frequent:[0,8,9,13,23],frequentist:17,fresh:10,frida:[],fridai:[16,21,23],friedman:[6,19,22,23,24],friendli:4,frodo:23,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,20,21,22,23],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,23,24],fstream:[],fulfil:[2,5,12,24],full:[0,1,3,5,7,9,10,13,20,23,24],full_matric:[5,24],fulli:[3,6,12,19,20],fun:[2,13,17,23],fun_nam:2,func:[0,2,23,24],functionali:11,functool:[3,4,14],fundament:[0,6,17,23],funtion:2,further:[2,7,9,23],furthermor:[0,3,5,6,7,11,12,13,17,23,24],futur:[0,4,8,9,23,24],futurewarn:[0,23,24],fx:[],fy:[15,19,21,22,23],fys5419:[22,23],fys5429:[22,23],g0:2,g42mrgv128v34gnnhxwk9nrc0000gp:[],g:[0,1,2,3,4,6,8,9,10,11,13,14,20,23],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_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,24],galleri:[0,23],game:4,gamge:23,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,23],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,23],gamma_i:[0,8,20,23],gamma_j:13,gamma_k:13,gamma_m:10,gamma_x:[0,23],gap:[6,8],gate:[4,12],gather:[0,1,12,24],gaug:12,gaussbacksub:18,gaussian:[4,5,6,8,14,20],gaussian_point:14,gaussian_rbf:8,gave:13,gbc:[19,23],gca:[2,6,8,13],gd:1,gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:13,gdregress:10,ge:[1,5,7,20,24],gemv:[],gen:[],gen_loss:4,gen_tap:4,gender:[0,23],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,18,20,22,24],generallay:12,generate_and_save_imag:4,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,genexpr:[],genom:17,geodes:11,geometr:[0,13,23],geometri:5,georg:22,geotif:6,geq:[2,5,8,9,13,24],geron:[0,15,19,22,23],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,17,18,20,21,23,24],get_dummi:9,get_loc:[],get_next_color:[],get_paramet:2,get_split:9,get_yaxi:8,get_yticklabel:6,getattr:2,getsolutionslic:[],getval:[],gg:[],gibb:[17,23],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,17,23],giter:13,github:[0,3,4,6,14,15,17,19,21,22,23,24],gitlab:[0,15,17,23],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,20,23,24],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],global:[6,7,13],glorot:1,gmail:[],gnew:13,go:[0,1,3,5,6,8,9,11,12,13,23,24],goal:[0,7,9,23],goe:[0,1,2,5,6,13,14,18,23,24],golden:13,gone:[5,24],gong:1,good:[1,3,4,5,6,9,10,11,13,17,20,22,24],goodfellow:[4,19,22,23,24],googl:[1,3,4,14,17,23],got:[1,6],gov:6,gp:22,gpu:[1,13,17,23],grad:[2,13],grad_analyt:13,grade:19,gradient:[0,3,4,7,8,9,12,17,23,24],gradient_desc:[],gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradienttap:4,gradual:[1,14],grai:[4,6],graph:[1,9,11,12,13],graph_debug_info_pb2:[],graph_from_dot_data:9,graph_funct:[],graphic:[0,1,9,23],grasp:[0,23],gray_r:[1,3],grayscal:3,great:[5,13],greater:[1,7,20],greatli:13,greedi:9,green:[0,3,9,20],grei:4,grid:[1,3,6,7,8,12,20,24],grossli:13,ground:[0,23],group:[0,6,7,9,14,17,19,21,23],groupbi:[0,23],grow:[1,3,9,10],growth:[0,23],gru:4,guarante:[0,4,13,20,23,24],guess:[1,4,10,13,14],guestrin:10,guid:1,guilherm:[],h1:2,h21:[],h:[0,1,5,6,8,13,16,20,21,22,23,24],h_1:[2,13],h_2:[2,13],h_:[0,13,23],h_m:10,ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],haa:[21,23],habit:[0,24],had:[0,1,6,7,13,23],hadamard:[1,12,13],half:[1,8,9],halv:10,hand:[0,1,2,3,5,11,12,13,15,17,18,19,20,21,22,23,24],handi:3,handl:[0,1,2,5,9,11,17],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5,23],handwrittennot:23,happen:[1,2,3,4,5,6,10,13,20,24],hard:[1,7,8,10,13],hardcopi:[17,23],harder:[0,1,24],harmon:3,hasn:1,hassl:[0,15,17,23],hast:[17,23],hasti:[0,6,15,16,19,22,23,24],hat:[0,1,5,6,7,9,10,11,12,13,18,24],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,24],haven:1,hdtta7prrfi:[],he:7,head:[0,4,10,20,24],header:[0,23,24],heads_proba:10,health:[0,24],hear:[0,13,23],heart:[0,7,23],heatmap:[0,1,3,7,23,24],heavili:[0,23],heavisid:1,height:[1,3,6,24],held:13,help:[0,1,4,12,13,16,23],helper:[4,14],henc:[0,5,6,8,9,10,12,13,23,24],henrik:[21,23],her:7,here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],hereaft:[0,8,12,23],hermitian:18,hessenberg:18,hessian:[0,2,5,13,16],heterogen:[9,10],hfft:[3,4,14],hi:7,hidden:[1,3,4,12],hidden_bia:1,hidden_bias_gradi:1,hidden_layer_s:[0,1,23],hidden_neuron:4,hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,24],high:[0,1,2,3,4,5,6,9,10,11,13,14,17,18,23,24],higher:[0,1,3,5,6,8,13,23,24],highest:[1,2],highli:[0,3,4,10,17,18,22,23,24],highwai:[0,24],hing:8,hint:[13,16,24],hip:17,hire:[0,23],hist:[4,6,7,20],histogram:[0,6,7,20,24],histor:[7,11],histori:[3,4,12],histplot:24,hit:[],hitherto:5,hjorth:[21,23,24],hm6ay5ds6o0:[],hobbi:20,hoc:[5,24],hoff:22,hold:[1,3,6,13,14],holder:[0,23],holomorphic_grad:[2,13],home:[0,24],homepag:23,homework:[6,13],homogen:[1,3,9,10,13],honchar:2,hopefulli:[0,11,20,23],horizont:11,hors:[3,7],hot:[1,9],hour:[1,17,19,20,21,23],house_pric:24,how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],hs:[],hspace:[0,4,8,10,20,23],hstack:[1,24],htf:[19,23],html:[0,7,11,17,19,21,22,23,24],http:[0,3,4,6,7,11,13,14,17,18,19,21,22,23,24],huang:[0,23],huber:[0,23],huge:[1,3,4,17],human:[0,1,3,6,9,12,23,24],humid:9,hundr:1,hungri:1,hybrid:19,hydrogen:[0,23],hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,23,24],hyperplan:11,i0:[0,23],i1:[0,6,8,12,23,24],i2:[0,8,12,23],i3:[0,12,23],i5:[0,23],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],i_1:[5,6],i_2:[5,6],i_:13,ian:22,ic:1,id:[7,13],ida:[21,23],idea:[0,1,2,3,4,6,9,10,12,13,18,23,24],ideal:[0,2,6,8,13,20,23,24],idem:6,ident:[5,6,12,13,18,24],identical:[],identifi:[0,1,7,9,11,12,13,14,23,24],idum:[],ieor:20,ifft2:[3,4,14],ifft:[3,4,14],ifftn:[3,4,14],ifftshift:[3,4,14],ifi:22,ifs:[17,23],ignor:[0,1,3,9,24],ihfft:[3,4,14],ii:[18,20],iii:[18,23],ij:[0,1,3,6,8,12,14,16,18,20,23,24],ik:[0,18,23,24],illustr:[5,7,10,12,13,14,17,23],im:6,imag:[1,3,4,6,9,11,12,14,22,23],image_at_epoch_:4,image_batch:4,image_height:3,image_path:[0,6,7,9,23,24],image_width:3,imageio:6,imagenet:23,images_from_seed_imag:4,imagin:1,immedi:[0,3,4,6,15,17,23],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,20,23,24],impli:[3,5,6,7,13,18,24],implicit:3,implicitli:[11,20],importantli:3,importerror:[3,4,14],impos:[0,6,11,12,23],imposs:[0,5,23,24],impress:[0,12,23],improv:[0,4,5,9,10,11,13,24],impur:9,imread:6,imshow:[1,3,4,6],in1:2,in2:2,in3050:[22,23],in3310:23,in4080:[22,23],in4300:[22,23],in4310:22,in5400:3,in5550:22,in_out_neuron:4,inaccur:13,inacio:[],inact:12,inadequ:[0,23],inch:[6,24],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,20,21,22,23,24],include_bia:[6,9],incom:12,incorrect:1,incoveni:8,increas:[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],increasingli:20,ind:6,inde:[0,2,4,5,6,13,23,24],indefinit:4,indent:[],indentationerror:[],independ:[0,5,6,7,8,12,13,20,23,24],index:[0,1,3,4,10,14,17,18,20,22,23,24],index_col:[0,23],index_of:[],indic:[0,1,3,4,5,6,9,10,11,13,16,23,24],indispens:6,individu:[1,6,7,10,12,20,23,24],indu:[0,24],indx1:2,indx2:2,indx3:2,indx:18,ineffici:[3,13],inequ:[8,13],inequaltii:[],inertia:13,inf1000:[17,23],inf1100:[17,23],inf1100l:[17,23],inf1110:[17,23],inf3000:23,inf4490:[],inf5860:[],infeas:9,infer:[0,1,4,6,22,23],infer_nrow:[0,23],inferenc:1,infil:[0,6,7,9,23],infin:[5,6,7,11,24],infinit:3,infinitesim:20,influenc:[6,10],influenti:1,info:23,inform:[0,1,3,4,6,9,11,12,13,14,18,22,23],infti:[3,6,13,20],ingeni:13,ingrad:2,ingredi:[0,9,23],inher:6,inherit:[18,23],initi:[0,1,2,3,4,6,10,13,14,18,20,23],initial_epoch:[],initialis:[],initialize_root:[],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],inner:[0,13,24],innov:[],inp:4,inplac:13,input:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,20,23,24],input_dim:1,input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,24],insert:[3,5,6,8,10,20,24],insid:[0,4,7,24],insight:[0,1,5,17,23,24],insist:[6,13,24],inspir:[0,1,12,23],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,23,24],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,18,20,23,24],institut:1,instruct:[0,1,15,16,23],int32:10,int64:24,int64index:23,int_0:20,int_:[3,6,20],int_a:20,intak:[0,24],integ:[1,2,13,14,18,20,23],integer_vector:1,integr:[3,6,20,23],intellectu:23,intellig:[0,14,22,23],intend:[10,23],intens:1,intention:14,interact:[0,6,9,12,17,23],intercept:[0,6,8,11,13,16,23],intercept_:[0,6,8,9,13,23,24],interchang:[5,12,18],interconnect:1,interest:[0,1,2,3,4,5,6,7,8,9,12,17,20,23,24],interfac:[0,1,18,24],interior:[0,9,23],intermedi:[18,24],intern:[1,10,12],interpol:[1,3,4,6,12],interpr:[5,24],interpret:[0,1,3,4,6,9,10,12,13,14,18,20],interv:[0,3,5,6,7,13,20,23,24],intial:13,intract:[0,4,24],intrins:[3,11,18,20,23],intro:[17,22,23],introduc:[0,1,5,6,8,10,12,18,20,23],introduct:[1,2,4,13,22,24],introductori:[0,4,18,22,23,24],intuit:[0,5,6,8,12,13,23],inv:[0,5,13,23,24],invalid:[1,8],invalu:[0,13,15,17,23],invari:1,invd:5,inver:8,invers:[0,3,6,13,15,16,23,24],invers_period:[],inverse_transform:8,invert:[0,5,7,10,13,23],invh:13,invok:[0,8,24],involv:[0,2,6,7,11,12,24],io:[0,17,19,21,22,23,24],iomanip:[],iostream:[],ip:[0,8,20,23],ipca:11,ipykernel_20528:1,ipykernel_20614:6,ipykernel_20669:13,ipykernel_20702:23,ipykernel_41811:[],ipykernel_42331:[],ipykernel_42376:[],ipykernel_42449:[],ipykernel_42456:[],ipykernel_42530:[],ipykernel_42541:[],ipykernel_42553:[],ipykernel_42573:[],ipykernel_42580:[],ipykernel_42586:[],ipykernel_47411:[],ipykernel_47448:[],ipykernel_47647:[],ipykernel_47724:[],ipykernel_47735:[],ipykernel_65914:[],ipykernel_9414:[],ipykernel_94478:[],ipykernel_94529:[],ipykernel_94582:[],ipykernel_96694:[],ipynb:[17,23],ipython:[0,5,7,9,11,14,15,17,23,24],iq:6,irfft2:[3,4,14],irfft:[3,4,14],irfftn:[3,4,14],iri:[8,9],irreduc:6,irrelev:[5,24],irrespect:[0,23],is_integ:[],isbox:[2,13],iscomplexobj:[],isinst:[],isn:5,isnul:[0,24],isomap:11,isotop:23,issu:[1,3,4,9,14,18,24],it_arrai:13,item:[0,13,23],items:[18,23],iter:[1,2,4,6,7,8,11,13,14,20],itr:[],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23],itself:[5,6,12,20,24],ix:[],j1:18,j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,18,20,22,23,24],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknavg:[],jackknif:[6,17,23],jackknstd:[],jackknvar:[],jackknvec:[],jacobian:[2,13],jacobian_shap:2,jakobsen:[21,23],jargon:[],jason:4,jax:[3,4,14,17,23],jaxlib:[3,4,14],jensen:[21,23,24],jerom:22,jhfgq77fpq:[],ji:[12,18],jit:13,jj:[0,5,6,23],jk:[0,1,6,12,18,23],jl:[0,23],jm:18,jnp:[3,4,13,14],joao:[],joaogca:[],job:[2,8,10],join:[0,4,6,7,9,23,24],joint:[4,5],journal:[],judg:13,judgement:6,julia:[17,18],jump:20,junk:4,jupit:23,jupyt:[0,15,17,22,23],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,20,23,24],justif:[0,23],justifi:[3,10],jy:[],jydg2xzka5:[],k0:7,k1:7,k:[0,1,3,5,6,7,8,9,10,11,12,13,14,17,18,20,21,23,24],kaggl:6,kappa_d:20,karim:[],karl:[21,23],karlsen:[],karush:8,kate:23,katrin:[21,23],keep:[0,1,4,5,6,11,13,14,18,23,24],keepdim:[1,6,10,18],kei:[0,1,3,6,12,24],kept:[4,6,14],kera:[0,4,17,23],kernel:[0,1,3,17,23,24],kernel_regular:[1,3],kernel_s:4,kernelpca:11,kev:[0,23],kevin:[22,23],keyboardinterrupt:2,keyerror:2,keyword:[6,13,18,23],kfold:6,kg:1,ki:18,kick:[1,13],kiener:2,kilomet:[6,24],kind:[0,2,3,4,8,12,13,14,23,24],kj:[6,12,18,24],kjm:[17,23],kkt:8,kktsolver:[],kl0m3:[],kl:20,km:[12,23],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,17,23,24],knowledg:[0,17,23],known:[1,3,4,5,6,7,8,9,12,18,20,22,24],kondev:[0,23],kp:20,kpca:11,kroneck:14,kuhn:8,kutz:[],kvalsund:[21,23],kwarg:[0,2,13,23],kwd:[0,23],kwown:[0,23],l0:7,l1:[0,1,3,7,23],l1_l2:[1,3],l1regl:5,l1regls_mosek2:[],l1regls_mosek:[],l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,18,20,23,24],l_1:7,l_2:[7,13],l_:18,l_j:12,la:13,la_i:12,la_k:12,lab:[17,23],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,17,18,20,23,24],label_prob:[],labelencod:[7,10],labels:[6,8,9],labels_shuffl:[0,1,24],laboratori:[19,24],lack:[0,23],lagari:2,lagrang:[8,11],lambda:[0,1,2,3,5,6,7,8,10,12,13,20,23,24],lambda_0:11,lambda_1:[5,8,11,24],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,24],lamda:1,lamdbda:[],land:[0,8,24],landmark:8,landscap:13,langl:[0,6,11,20,23,24],languag:[0,1,4,8,15,17,18,22,23],lapack:[18,23],laplac:5,laptop:17,larg:[0,1,2,4,5,6,8,9,10,11,13,15,17,18,20,22,23,24],larger:[0,3,5,6,8,10,11,13,20,23,24],largest:[4,8,11],lasso:[0,7,17,23],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,18,20,21,23],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,6,7,8,12,13,14,15,17,23],latest:[4,17],latest_checkpoint:4,latex:23,latter:[0,3,6,7,8,11,13,16,18,20,23,24],lattic:12,law:[0,23],lax:[3,4,14],layer:[0,4,13,14,23],lbfg:[7,9,10,11],lcc:[5,6],lda:11,ldot:[0,6,11,23],le:[5,7,10,13,20,24],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,18,20,23,24],leaf:9,leaki:1,leakyrelu:4,lear:13,learn:[3,4,5,6,7,8,9,10,12,18,19,21,22],learnabl:3,learner:10,learnig:23,learning_r:[8,10],learning_rate_init:[0,1,23],learning_schedul:13,least:[0,2,7,8,10,11,15,16,17,18,20],leat:13,leav:[0,1,3,5,6,9,11,23],lectur:[0,1,5,10,11,12,13,15,17,18,19,21,22],lecturenot:[0,17,22,23],lecturenovember11:[],lecturenovember12:[],lecturenovember19:[],lecturenovember25:[],lecturenovember26:[],lecturenovember4:[],lecturenovember5:[],lectureoctober14:[],lectureoctober15:[],lectureoctober1:[],lectureoctober21:[],lectureoctober22:[],lectureoctober28:[],lectureoctober29:[],lectureoctober7:[],lectureoctober8:[],lectureseptember10:[],lectureseptember16firstpart:[],lectureseptember16secondpart:[],lectureseptember17:[],lectureseptember23:[],lectureseptember24:[],lectureseptember2:[],lectureseptember30:[],lectureseptember3:[],lectureseptember9:[],lecturethursdayaugust26:[],lecturethursdayaugust27:[],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,23,24],len:[0,1,2,3,4,5,6,8,9,10,11,12,18,23,24],len_index:[0,23],length:[0,1,2,3,4,8,9,13,16,17,23,24],length_of_sequ:4,leq:[0,5,7,8,13,14,20,23,24],less:[0,1,3,4,5,6,8,9,13,17,20,23,24],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],letter:[0,16,18,20,23,24],level:[0,1,5,6,9,17,18,19,21,23,24],li:[8,11,23],lib:[0,1,2,3,4,6,7,8,11,13,14,23,24],liblinear:[8,10],librari:[0,1,2,3,4,5,6,9,10,11,15,18,20,22,24],licens:[0,1,3,4,14,15,17,23],lie:[0,6,11,20,24],life:[0,1,8,12,23],lifetim:13,like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,20,23,24],likelihood:[0,1,5,9,23,24],lim_:20,lima:[21,23],limit:[0,5,6,7,8,11,12,18,23,24],lin_clf:8,lin_model:[0,24],lin_reg:9,linalg:[0,2,3,4,5,6,8,11,13,14,18,20,23,24],line1:8,line2:8,line2d:13,line3:8,line:[0,2,3,4,6,8,9,10,11,13,14,15,23,24],linear:[1,3,5,6,7,9,10,11,12,17,20],linear_model:[0,5,6,7,8,9,10,11,13,23,24],linear_regress:6,linear_util:[3,4,14],linearli:[5,24],linearloc:[6,13],linearregress:[0,6,7,9,23,24],linearsvc:8,liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10],link:[0,4,9,12,17,21,23],linlag:5,linpack:[18,23],linreg:[0,23],linspac:[0,2,3,4,6,8,9,10,13,15,16,18,20,23,24],linu:4,linuek:[],linux:[0,1,15,17,23],liquid:[0,23],list:[0,1,2,3,4,9,17,23,24],listcomp:2,listedcolormap:[9,10],lite:[3,4,14],lite_const:[3,4,14],literatur:[1,7,14,22],littl:[1,3,9,12],live:8,ll:[0,20,23,24],llc:[3,4,14],lle:[0,24],lloyd:[4,14],lmb:[0,2,5,6],lmbd:[0,1,3,23],lmbd_val:[0,1,3,23],lmbda:13,ln:[1,13],lo:[],load:[0,1,4,6,7,9,10,24],load_boston:[0,24],load_breast_canc:[1,7,9,10,11],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],loc:[0,3,6,7,8,9,10,23],local:[0,1,2,3,7,12,13,23,24],locat:[2,3,8],lock:[],log10:[0,2,5,6],log1p:2,log:[0,1,2,3,4,5,6,7,9,10,11,13,14,18,23,24],log_:[0,23],log_clf:10,logarithm:[0,5,7,18,23],logic:[0,1,9,23],logist:[0,1,2,8,9,10,11,12,13,17,24],logistic_predict:[],logisticregress:[7,9,10,11],logit:7,logreg:[7,9,10,11],logspac:[0,1,3,5,6,23],longer:[2,3,8,10,14,18,20,23],loocv:6,look:[0,1,2,3,4,5,6,7,8,9,10,11,13,18,20,23,24],lookup:[3,4,14],loop:[1,4,6,10,12,14,17,18,23],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,18,23],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6,24],low:[0,6,9,10,11,23,24],lower:[0,1,3,6,9,10,16,18,24],lowercas:[18,23],lowest:[9,13,20],lr:[1,3,4,10],lstat:[0,24],lstm:4,lstm_2layer:4,lstsq:[0,23,24],lt:6,lu:[0,3,4,5,14,23,24],lubksb:18,luckili:2,ludcmp:18,lux:18,lvert:1,lw:[0,23],m:[0,1,2,3,5,6,8,9,10,11,12,13,18,19,20,21,22,23,24],m_1:14,m_:[9,12],m_h:[0,23],m_k:14,m_l:12,m_n:[0,23],m_p:[0,23],m_t:13,ma:11,mac:[3,4,14],machin:[1,3,4,5,6,7,9,10,11,12,14,15,18,19,22,24],machinelearn:[0,6,17,19,21,22,23,24],machinelearningmurphi:[],mackai:22,made:[0,1,3,4,5,6,7,9,11,12,23,24],mae:[0,23],magic:4,magnitud:[1,6,7,13,24],mai:[0,1,2,3,5,6,7,8,9,11,12,13,17,18,20,24],mail:[19,21],main:[0,1,3,4,5,6,7,9,18,22,23,24],mainli:[0,5,6,7,9,23,24],maintain:[6,24],major:[1,6,9,10,13,18,23],make:[1,2,3,4,5,6,7,8,11,12,13,17,18,20,22],make_axes_locat:6,make_moon:[8,9,10],make_pipelin:[0,6,10,24],make_vjp:[2,13],makedir:[0,6,7,9,23,24],makeplot:[0,23],malcondit:18,malign:[1,7,9],mammographi:5,manag:[0,2,3,15,17,23],mandatori:[21,23],mani:[0,1,3,4,5,6,7,8,9,11,13,14,17,18,20,22,23,24],manifold:11,manner:3,manual:[6,24],map:[0,1,2,3,4,6,7,8,11,12,14,20,23],margin:[0,5,8,23],mari:[],marit:[0,23],mark:23,marker:[0,7,18,23,24],markov:[17,23],marsaglia:20,mask:[],mass:[0,1,5,13,24],massag:[0,23],masses2016:[0,23],masses2016ol:[0,23],masses2016tre:0,masseval2016:[0,23],master:[6,19,21,23],mat1100:[17,23],mat1110:[17,23],mat1120:[17,23],mat3155:[],mat4155:[],mat:[17,23],match:[0,1,4,5,13,14,23,24],materi:[4,5,7,13,18,21],math:[3,7,12,13,18,20,22,23],mathbb:[0,4,5,6,7,8,11,12,13,14,18,20,23,24],mathbf:[0,5,6,7,8,13,18,23,24],mathcal:[1,5,6,7,13],matheemat:3,mathemat:[0,6,11,12,13,17,18,20,22,23],mathemati:23,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,20,23,24],matmul:[1,2,5],matmul_adjoint_1:[],matmul_vjp_0:[],matmul_vjp_1:[],matnat:22,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],matplotlibdeprecationwarn:[6,13],matric:[0,1,3,4,6,7,8,11,13,16,17,24],matrix:[0,2,3,4,6,7,8,10,13,15,16,20],matshow:1,matter:[2,3,13,24],max:[0,1,2,3,4,9,10,12,13,21,23],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_it:[0,1,7,8,11,13,23],max_iter:14,max_leaf_nod:10,max_queue_s:[],max_sampl:10,maxdegre:[0,6,10,24],maxdepth:10,maxim:[1,4,5,7,8,11],maximum:[0,1,2,3,5,7,8,9,10,13,14,23,24],maxpolydegre:[5,6],maxpooling2d:3,mbox:[5,6,24],mc:[],mccorduck:23,mcculloch:12,mcint:[],mcintsqr2:[],md:11,mdoel:4,mdyt6uwokt0:[],mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20],mean_absolute_error:[0,23],mean_divisor:14,mean_i:20,mean_matrix:14,mean_squared_error:[0,4,6,7,10,23,24],mean_squared_log_error:[0,23],mean_vector:14,mean_x:20,meaning:[0,4,7,23],meansquarederror:[0,23],meant:[2,3,7,10,13],meantempvec:[],meanvec:[],measur:[0,1,2,5,6,9,11,12,14,20,23,24],mechan:[0,4,20,23],median:[0,23,24],medicin:12,medium:[4,8,13],medv:[0,24],meet:[0,21],mehta:[0,23,24],memori:[3,4,11,12,13,18,23],mention:[0,12,13,20,23],mere:[0,15,23],mersienn:[],meshgrid:[2,5,6,8,9,10,11,24],messag:[5,13],messi:2,met:[0,3,8,23,24],metadata:2,meteorolog:9,meter:[6,24],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,20,22,23,24],metion:6,metric:[0,1,3,4,6,7,9,10,14,15,16,23,24],metropoli:[17,23],mev:[0,20,23],mgd:13,mglearn:[17,23],mgrid:13,mhjensen:[1,2,3,4,6,7,8,11,14,24],mi:10,mia:[21,23],michigan:[23,24],microsoft:22,mid:1,midel:4,midnight:16,midpoint:9,might:[0,1,2,4,6,9,13,24],mild:9,miller:[],millimet:[6,24],million:[0,23,24],mimic:12,min:[0,2,5,8,9,23],min_:[0,2,5,14,23,24],min_samples_leaf:9,mind:[0,6,13,23,24],mindboard:4,mine:[17,23],mini:[1,11,12,13],minibatch:[1,11,13],minibathc:13,miniforge3:[0,1,2,3,4,6,7,8,11,13,14,23,24],minim:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,24],minima:[0,1,7,13,23],minimum:[0,1,2,6,8,9,11,13,24],minmaxscal:[0,24],minor:[6,13,20],minst:1,minu:7,mirror:9,misc:6,misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10,24],mistak:4,mit:22,mix:[1,2,23],mixtur:13,mk48pfcxgyk:[],mk:[9,18],mkdir:[0,6,7,9,23,24],ml:[0,1,10,13,18,24],mlab:20,mle:[5,7],mline:[],mlir:[],mlir_graph_optimization_pass:[],mlp:1,mlpclassifi:1,mlpregressor:[0,23],mm:18,mn:[12,20],mnist:[1,11],mod:20,mode:[19,21,23],model:[2,3,5,7,8,9,10,11,13,14,15,16,17,20,22,24],model_select:[0,1,3,5,6,7,9,10,11,23,24],modelanalyz:[3,4,14],moder:10,modern:[0,6,7,17,23],modif:[2,12,13],modifi:[0,1,3,5,7,8,10,12,13,23,24],modul:[0,3,4,7,11,14,18,23],modular:20,modulenotfounderror:[],modulo:20,moe:[11,24],moment:[5,6,13,20],monitor:13,monoton:[5,12,20],mont:[0,6,17,20,22,23],montecarlocycl:[],moor:[5,6],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,17,20],moreov:[0,3,23],morten:[21,23,24],mortenimac:[],mosek:[],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,20,23,24],mostli:[1,11],motion:[0,13,23],motiv:[1,4],move:[0,4,5,6,7,9,12,13,14,20,23,24],mp4:[],mpl:[0,7,23],mpl_toolkit:[2,6,13],mplot3d:[2,6,13],mplregressor:1,mse:[0,4,5,6,9,10,15,16,23,24],mse_simpletre:10,mselassopredict:5,mselassotrain:5,mseownridgepredict:6,msepredict:5,mseridgepredict:[0,5,6],msetrain:5,msg:[0,23,24],msle:[0,23],mt19937_64:[],mt:[7,12],mu0:20,mu1:20,mu2:20,mu:[0,6,11,13,20,23],mu_1:24,mu_:[6,20,24],mu_i:[6,24],mu_n:11,mu_x:20,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,18,20,23,24],mul:[],multi:[0,1,3,7,17,23,24],multiclass:[1,7],multidimension:[11,12,23],multilay:1,multinomi:7,multipl:[2,4,5,6,7,12,13,20,24],multipli:[2,3,5,6,11,13,18,20,24],multiplum:8,multivari:[0,2,10,11,17,20,23],multivariate_norm:[11,14],murphi:[11,22,23],must:[0,1,2,5,6,8,10,12,13,14,20,23,24],mutat:7,mutual:[1,3,6,13],mx_:20,myenv:[0,1,2,3,4,6,7,8,11,13,14,23,24],myriad:[0,15,17,23],mz1:20,mz2:20,n1:18,n2:18,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,20,23,24],n_0:[12,20],n_:[1,2,3,8,12,20],n_b:[],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:[0,1,23],n_i:20,n_input:[0,1,3,24],n_instanc:9,n_iter_i:[7,11],n_job:10,n_k:14,n_l:[12,20],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,nabla:[1,13],nabla_:[2,13],nabla_w:13,nag:13,naimi:[0,23],naiv:7,naive_kmean:14,najafi:[21,23],nall:[0,23],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,17,18,20,21,23,24],nameerror:[6,10,15],namespac:[3,4,14],narrow:13,nary_f:[2,13],nary_op_arg:[2,13],nary_op_kwarg:[2,13],nary_oper:[2,13],nation:[1,5,24],nativ:[17,23],natur:[0,1,4,8,9,12,13,20,22,23],navier:12,nb:20,nb_:18,nbconvert:23,nboot:[],nd:14,ndarrai:[2,6],ndef:13,ndim:[],ne:[9,10,18,20,24],ne_xcl2ctm0:[],nearest:[1,3,6,11],nearli:13,neat:23,neccesari:6,necess:2,necessari:[0,1,3,4,8,14,23],necessarili:[0,4,11,20,23],necesserali:5,neck:7,need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,24],neg:[0,1,3,5,6,7,10,13,18,20,23],neg_mean_squared_error:6,neglect:20,neglig:20,neighbor:[3,6,11],neither:[4,13],neq:[13,14,20],nervou:12,nest:[2,9,12],nesterov:13,net:[2,4,12],netlib:[18,23],network:[0,9,13,17,22,24],neural:[0,13,17,22,24],neural_network:[0,1,2,23],neuralnetwork:1,neuron:[1,2,3,4,12],neutral:[0,23],neutron:[0,23],never:[1,4,6,9,20],new_box:[2,13],new_chang:13,new_hobbit:23,new_root:[2,13],new_trac:[2,13],new_tracing_count:[],newaxi:[0,3,6,9],newli:[0,23],newton:[1,7,8,13,20],next:[0,1,2,3,4,5,6,8,9,13,14,23,24],next_guess:13,next_input:4,nf8_grad:13,nfrom:13,ng:1,ngini:9,ni:14,nian:[],nice:[0,1,5,11,23,24],nichola:[],nicholaskarlsen1102:[],nimport:13,niter:13,nitric:[0,24],nlambda:[0,5,6],nlevel:[],nlp:22,nm:20,nm_n:[0,23],nmse:6,nn:[2,5,6,12,18],nn_model:1,nnmin:2,node:[1,2,3,9,10,12],node_constructor:2,nois:[0,4,5,6,8,9,10,13,15,16,23,24],noise_dimens:4,noisi:[1,6],non:[0,1,3,5,6,7,9,10,11,12,13,14,18,20,23,24],none:[0,1,2,3,4,5,9,10,13,14,20,23,24],nonlinear:[3,6,8,9,11,12],nonneg:[6,9,13],nonparametr:6,nonsens:20,nonsingular:18,nonumb:[3,7,8,13,18],noqa:[3,4,14],nor:[1,4,13],norm:[0,1,5,6,8,11,13,23,24],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],normali:[18,23],normalize_kwarg:[],norvig:23,norwai:[6,23],notat:[0,2,5,6,13,14,20,23,24],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,20,22,23],notebook:[0,1,3,9,15,17,23],notesexercise5week452022:23,noth:[1,2,5,8,12,14,20,24],notic:[4,5,12,13,18,20,23],notimplementederror:2,notion:3,notrace_primit:[],novel:[3,6,10],novemb:[1,19,21,23],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,18,20,23,24],nowadai:[0,1,3,9,17,23],nox:[0,24],np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,23,24],npr:2,nprint:13,nsampl:[6,9],nspin:[],nt:2,nthi:[0,23],ntrained_model:6,nu:20,nuclear:[5,24],nuclei:[0,20,23],nucleon:[0,23],nucleu:[0,23],num:4,num_allow_arg:[0,23],num_coordin:2,num_hidden_neuron:2,num_it:2,num_neuron:2,num_neurons_hidden:2,num_output:[],num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,21,23],numberid:7,numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,18,22,23,24],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,24],numpy_box:2,numpy_rank_promot:[3,4,14],numpy_vjp:2,numpy_wrapp:2,nunmpi:[5,24],nvalu:9,nx:[2,13],nx_test:6,nx_train:6,nx_train_mean:6,ny:20,ny_pr:6,ny_train:6,ny_train_mean:6,o:[0,6,7,8,9,11,15,18,21,22,23,24],obei:[6,11,13,24],object:[0,1,2,4,6,8,10,13,18,23,24],objsens:[],obliqu:[5,24],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,20],obtain:[0,1,5,6,7,8,9,10,12,13,14,18,20,23,24],obviou:[5,6,11,20,24],obviouli:23,obvious:[0,4,5,6,18,23],oc:24,occupi:[0,24],occur:[0,6,8,9,18,20,23],octob:[19,21,23],od:0,odd:[0,3,7,23,24],odenum:2,odesi:2,oen:0,off:[1,3,4,5,9,13,20],offer:[6,11,17,18,19,21,23],offic:[21,23],offici:[19,23],ofil:[],ofstream:[],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],ofter:[18,23],oh6i_oscwpc:[],ol:[0,13,15,16,23,24],old:[1,5,10,13],ols_sk:6,ols_svd:6,olsbeta:[0,5],olxksel3p4a:[],omega:[2,3,6],omega_0:3,omit:[0,5,23,24],on_train_batch_begin:[],onc:[1,6,9,11,13],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,17,18,20,21,23,24],oneapi:[],onednn:[],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,18,23,24],ones_lik:4,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],onlin:[11,19],onto:[5,11,24],op_nam:[],opbdi:[],open:[0,1,4,6,7,9,15,17,19,21,23],oper:[0,1,3,4,5,6,10,11,12,13,14,15,17,20,23,24],operation:20,ophint:[3,4,14],oplu:20,opmiz:13,opportun:[0,23],oppos:[6,13],opposit:[1,5,8,24],opresolvertyp:[3,4,14],opt:[1,5,23],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16],optimis:[1,3],optimizer_v2:[],option:[0,1,3,5,6,7,8,11,18,24],optionalxlacontext:[],optmiz:[1,8,13,24],oral:23,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,18,20,23,24],ordinari:[0,2,3,7,11,13,15,16,17],oreilli:22,org:[0,3,4,7,11,17,18,22,23],organ:[6,7,10,18],orient:[1,5,20,24],origin:[0,3,5,6,8,11,12,13,18,23,24],orthogn:[5,24],orthogon:[0,5,6,8,11,13,18,23,24],orthonorm:[5,24],os:[0,1,4,5,6,7,8,9,21,23,24],oscar:1,oscil:[3,13],oslo:[0,15,17,19,21,23,24],osx:[0,15,17,23],other:[0,1,2,3,5,6,7,8,10,13,14,15,17,19,20,21,22],otherwis:[0,1,4,7,13,18,23,24],ouput:[5,7,12],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,20],ourmodel:0,ourselv:[0,5,6,8,11,13,23,24],out1:2,out2:2,out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,20,23,24],out_fil:9,outcom:[0,7,9,10,12,20,24],outdoor:9,outer:[6,12,13],outfil:4,outfilenam:[],outgrad:2,outlier:[0,8,23,24],outlin:[6,10,11],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,18,20,23,24],output_bia:1,output_bias_gradi:1,output_shap:4,output_weight:1,output_weights_gradi:1,outputlayer1:12,outputlayer2:12,outsid:4,over1:13,over:[0,1,3,4,5,6,9,10,12,13,18,23,24],overal:[1,10],overcast:9,overcom:[12,13],overdetermin:[0,23],overfit:[0,1,3,6,9,10,13],overflow:[1,5],overhead:12,overlap:[3,7,8,9],overlin:[0,5,6,9,10,11,14,18,23,24],overst:[0,23],overtrain:4,overview:3,own:[4,5,6,8,12,13,17,18],owner:[0,24],ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6],ownypredictridg:0,ownytilderidg:0,oxid:[0,24],oyvinssc:[],p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],p_:[2,4,8,9],p_hidden:2,p_i:[5,20],p_j:20,p_n:20,p_output:2,p_x:20,pack:[0,23],packag:[0,1,2,3,4,5,6,7,8,11,13,14,15,17,20,24],pad:[3,4],page:[0,17,23],pai:[0,1,9,13],pair:[0,2,3,9,17,20,23,24],pamilla:23,panda:[0,4,5,6,7,9,11,15,17],panel:23,paper:1,paradigm:[0,23],parallel:[3,4,10,13,14,17,18,23],param:2,paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,20],parameter:[0,6,10,23,24],parametr:[0,6,15,16,23,24],paramt:[3,5],parent:2,parent_argnum:2,park:[],parser:[0,23],part:[0,1,3,5,6,10,18,19,20,21,23],partial:[0,1,3,4,5,6,7,8,10,11,12,13,14,16,20,23,24],partialmethod:[3,4,14],particip:[17,19,21,23],particl:[0,4,13,20,23],particular:[0,1,2,3,5,6,9,10,11,12,13,16,20,22,23,24],particularli:[5,6,8,11,13,20,24],partit:[1,4,9],partli:[6,23],pass:[2,3,12,14],past:[10,20],patch:[6,20],path:[0,4,6,7,9,15,17,23,24],patient:7,patter:4,pattern:[0,3,4,12,19,22,23],pauli:[0,23],pc:[11,17],pca:[0,7,17,23,24],pcolor:6,pcolormesh:6,pd:[0,4,5,6,7,9,11,23,24],pde:2,pdf:[0,3,4,5,6,9,22,23],pedagog:[0,23,24],penal:[6,24],penalti:[6,13,24],penros:[5,6],pentagon:13,peopl:[0,1,9,13,17,24],per:[0,1,6,19,21,23,24],percentag:[0,10,11,21,24],perceptron:[0,1,7,23],peregrin:23,perfect:[0,1,13,23],perfectli:[4,6],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,20,23,24],performac:4,perhap:[0,5,13,23,24],perimet:[1,9],period:[1,4,20],permut:11,persist:13,person:[5,6,7,19,21,23,24],perspect:22,pertin:12,petal:[8,9],peter:22,petersen:[],phantom:20,phase:[6,12],phawkin:[3,4,14],phenomena:20,phi:8,phi_k:8,philip:[],philosophi:13,phone:[21,23],photo:4,phrase:[0,23],physic:[0,1,4,7,12,13,20,21,22,23,24],pi:[2,3,5,6,7,9,12,13,20],pick:[1,9,10,11,13,14],pickl:1,pictur:[0,23],pie:[17,23],piec:[11,14],pillow:[0,15,17,23],pinv:[5,6,13,24],pip3:[0,1,15,23],pip:[0,1,15,17,23],pipelin:[0,6,8,10,24],pippin:23,pit:4,pitfal:[6,24],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,18,23],plai:[0,3,4,5,6,8,11,17,23,24],plain:[8,10,12,13,14],plan:[6,9,21,22,23],plane:[8,9],plateau:5,platform:[17,23],plausibl:12,pleas:[3,4,6,7,11,13,14,21,23,24],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],plot_confusion_matrix:[7,10],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],plot_train:9,plot_tre:[9,10],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],plu:[0,3,5,7,23,24],pm:8,pmatrix:2,pml:22,pn:3,png:[0,4,6,7,9,23,24],pocketfft:[3,4,14],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],point_1:4,point_2:4,poisson:[17,20,23],poli:[6,8],pollut:[3,4,14],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:13,poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,24],polygon:13,polym:12,polynomi:[0,5,6,7,8,9,10,11,15,16,23,24],polynomial_featur:6,polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,24],polytrop:[0,6,23],pool:3,pool_siz:3,poor:[1,13],poorli:[0,24],pop:2,popul:[0,5,23,24],popular:[0,1,3,6,7,8,9,11,12,15,17,18,20,23,24],popularli:[0,23],portabl:10,portion:[11,13],pose:[0,4,5,6,11,20,23],posit:[0,1,2,3,5,7,8,10,11,13,14,18,20,23,24],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,20,21,23,24],posterior:5,postpon:[0,23,24],postul:5,potenti:[0,3,5,6,12,13,23,24],potr:[],potrf:[],pott:12,power:[0,1,5,6,8,9,12,13,23,24],pp:[5,6],practic:[0,5,6,7,8,20,24],practition:[0,1,3,23],pre:23,preced:[1,11,12,20],preceed:4,preceq:8,precis:[0,2,5,11,13,18,20,23,24],pred:6,predicit:0,predict:[0,1,5,6,7,8,9,10,15,16,17,22,23,24],predict_prob:1,predict_proba:[7,10],predictor:[0,5,6,7,9,10,11,23,24],prefer:[0,1,6,8,9,11,13,15,17,23],prepar:[0,6,18,23,24],preprocess:[0,4,6,7,8,9,10,11],prerequisit:0,presenc:13,present:[0,5,6,7,9,12,13,18,20,23,24],preserv:[3,11,18],press:[13,22],pretrain:[1,4],pretti:[0,4,8,9,15,17,23],prev_centroid:14,prevent:[13,20],previou:[0,1,2,3,4,5,6,8,10,11,12,13,18,20,24],previous:[2,3,9,10,20],price:[0,4,9,13,24],primal:8,primari:[0,7,23],prime:20,primit:2,primitive_batch:[3,4,14],princip:[0,5,7,17,23,24],principl:[0,6,7,8,14,23],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],print_funct:[8,9],printout:[0,23],prior:[0,5,6,23,24],privat:[0,23],prob:[1,20],probabilist:[0,22,23,24],probabl:[0,1,3,4,6,7,10,13,17,23,24],problem:[0,3,4,5,6,7,8,9,10,11,12,14,16,17,18,20],probml:22,proce:[0,5,6,7,8,9,10,11,13,18,23,24],procedur:[2,4,5,6,8,10,11,13,24],proceed:18,process:[0,2,4,6,9,10,12,13,15,17,18,20,22,23],prod:22,prod_:[1,5,7],produc:[0,3,4,5,6,9,10,11,12,13,17,18,20,23,24],product:[0,1,3,5,6,7,8,12,13,16,17,18,23,24],profess:[0,23],program:[0,1,4,5,6,8,12,14,15,16,17,18,19,20,21,23,24],programm:18,progress:[1,4,14],prohibit:6,project1:6,project:[0,1,2,3,5,11,13,17,19,21,24],project_root_dir:[0,6,7,9,23,24],promin:12,promis:8,promot:[21,23],prone:9,pronounc:[13,17,23],proof:[0,11,12,13,23],propag:[2,3,13],proper:[0,2,6,7,23],properli:[1,6,8,10,13],properti:[0,1,3,12,13,16,18,23],proport:[0,1,5,9,11,13,16,20,23,24],propos:[1,4,6,10,23],propto:[5,13],protect:[],protobuf:[],proton:[0,23],prove:[3,13],provid:[0,1,3,4,5,6,8,9,10,12,13,15,17,18,20,23,24],proxi:[1,13],prune:9,pseudo:[18,20],pseudoinv:5,pseudoinvers:[5,6],pseudorandom:[6,20],psycholog:[0,23],pt:13,ptratio:24,punish:[0,1,23],pure:[3,9,20],purest:9,puriti:9,purpos:[0,3,10,12,14,23,24],put:[1,23],putarow:[],putboundslic:[],putclist:[],putobjsens:[],putqobj:[],py:[0,1,2,3,4,5,6,7,8,11,13,14,23,24],pycod:23,pydata:17,pydot:9,pyhton2:23,pylab:[0,7,23],pylint:[3,4,14],pypi:17,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],pythagora:5,python2:[0,15,23],python3:[0,1,2,3,4,6,7,8,11,13,14,15,17,23,24],python:[1,2,3,4,5,6,8,11,12,13,14,16,20,24],pytorch:[0,17,23],pywrap_tf:[],q:[5,6,8,11,20,24],qn_bavhmd8u:[],qp:8,qquad:[2,11,13,18],qr:[5,6,18,24],quad:[1,13,18],quadrat:[0,8,9,13,15,16,23],qualit:[4,9,20],qualiti:[0,9,15,16,17,23,24],quantifi:1,quantil:10,quantit:[0,6,9,23],quantiti:[0,2,5,6,7,9,10,11,12,14,16,18,20,23,24],quantum:[4,12,22,23],quartil:[0,24],quench:5,queri:9,question:[0,5,6,9,11,12,13,21,23,24],qugan:4,quick:[4,20],quick_execut:[],quickli:[1,3,9,11,13],quit:[1,5,6,9,10,12,24],quot:[4,23],r2:[0,5,6,23,24],r2_score:[0,23,24],r2score:[0,23],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,24],r_1:9,r_2:9,r_j:9,r_m:9,rad:[0,24],radial:[0,8,12,24],radioact:20,radiu:[0,1,9,24],rag:2,rain:9,rais:[0,2,13,23],ramp:1,ran0:20,ran1:20,ran2:20,ran3:20,rand:[0,4,5,6,9,10,13,15,16,18,23,24],rand_max:[],randint:[6,9,13],randn:[0,1,2,5,6,9,11,13,15,16,23,24],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,17,18,23,24],random_devic:[],random_forest_model:10,random_index:13,random_indic:[1,3],random_st:[0,7,8,9,10,11,24],randomforestclassifi:10,randomli:[1,6,9,13,14],randomnumbergener:[],rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,18,20,23,24],rangl:[0,6,11,20,23,24],rangle_x:20,rank:[5,24],rankdir:4,raphson:[1,8,13],rapidli:[0,23],rare:[1,13,23],rate:[0,1,2,3,4,8,9,10,12,13,24],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],ratio:[4,7,9,10,11],rational:[0,23],ravel:[5,6,7,8,9,10,11,13,18,24],raw:3,raw_df:24,rbahrf:[],rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,20,24],rcond:[0,23,24],rcparam:[0,1,3,7,8,9,10,20,23],rd:[],rdbj50lv3go:[],re:[2,4,13],reach:[1,4,5,6,7,9,10,11,12,13,14],read:[0,2,3,4,5,6,7,8,11,12,16,18,19,20,22],read_csv:[0,6,7,9,23,24],read_fwf:[0,23],reader:[0,6,18,20,23,24],readi:[0,1,5,6,8,10,11,12,18,23],readili:1,readthedoc:17,real:[0,1,2,4,7,10,11,12,13,18,24],real_loss:4,real_output:4,realist:8,realiti:20,realiz:[1,12],realli:[0,1,23],rearrang:13,reason:[0,1,3,4,10,13,22,23],reassign:1,rebuild:[],recal:[5,6,9,10,11,12,18,20,23,24],recalcul:[],recast:3,receiv:[1,3,10,12,20],recent:[0,2,3,4,6,9,10,13,14,15,22,23],recept:[3,12],receptive_field:3,recip:[0,6,7,18,23,24],reciproc:5,recogn:[0,4,5,10,23],recognit:[0,1,3,12,19,22,23],recommend:[0,2,3,4,5,6,8,13,15,17,18,22],reconsid:9,reconstruct:11,record:[10,19,21,23],recreat:[],rectangl:[9,13],rectangular:[5,24],rectifi:[1,3,12],recur:[0,17,23],recurr:[0,1,17,23],recurs:[9,17,18,23],recycl:[],red:[0,3,4,6,8,9],redefin:[0,10,23,24],reduc:[1,3,5,6,9,10,11,13,23],reduct:[0,10,11,17,20,23,24],refer:[0,1,2,3,5,6,7,11,12,13,14,18,22,23,24],referenc:2,refin:12,refit:6,reflect:[0,1,4,5,20,23],refresh:[17,23],refreshprogrammingskil:23,reg:[10,11],regard:[1,9,13],regardless:12,region:[3,4,6,9,12],regist:[6,20],reglasso:5,regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,17,18],regressor:[0,7,10,23],regridg:[0,5,6],regular:[0,3,4,5,6,7,9,13,21,23,24],regularis:6,reilli:[0,15,22,23],reinforc:[0,8,17,23],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,20,23,24],relat:[0,1,3,4,5,11,13,14,18,20,23],relationship:[0,4,9,23],relativeerror:[0,23,24],releas:[1,6,13,17,23],relev:[0,1,5,7,11,15,17,20,23],reli:[0,3,4,6,8,14,23],reliabl:[7,20],relu:[3,4],remain:[1,2,4,6,12,18,20,24],remaind:20,reman:2,remark:1,rememb:[0,8,13,18,23],remind:[0,5,11,13,18,20,24],remov:[0,4,5,6,23,24],render:[0,23,24],reorder:[5,7,24],reorgan:[0,23],repeat:[0,1,3,4,5,6,9,10,11,13,14,18,20,23],repeated:23,repeatedli:[0,6,10,13],repet:3,repetit:[6,23,24],rephras:13,replac:[0,1,3,4,5,6,10,12,14,15,16,17,23,24],replica:6,report:23,repositori:[0,4,23,24],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,20,23,24],represent:[0,1,3,6,20,23],representd:3,reproduc:[0,5,6,9,12,15,16,17,20,23,24],repuls:[0,23],request:[0,13,23],requir:[0,1,3,4,5,6,8,9,11,12,13,18,23,24],res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:6,resampl:[0,7,10,17,23,24],rescal:[0,11,12,24],rescu:5,reseach:6,research:[0,4,13,17,22,23],resembl:[6,20],reserv:[1,5,6,20],reset:[],reshap:[0,1,2,3,4,6,8,9,10,15,16,18,23,24],residenti:[0,24],residu:[0,5,13,23],resiz:[5,24],resourc:23,respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,20,23,24],respond:12,respons:[0,7,9,12,23,24],rest:[0,5,24],restat:[0,12,23],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,23],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23],result_typ:[],retail:[0,24],retain:[5,6,24],return_data:14,return_kwarg:[],return_sequ:4,return_x_i:9,reus:[1,3,6],reveal:[0,12,23],revers:[1,18],review:[17,18],revisit:14,revolut:23,reward:[0,4,23],rewrit:[0,3,5,6,7,8,10,11,12,13,18,20],rewritten:[2,6,8,10,20],rewrot:13,rf:10,rfft2:[3,4,14],rfft:[3,4,14],rfftfreq:[3,4,14],rfftn:[3,4,14],rgb:3,rgoj5yh7evk:17,rh:6,rho:[0,10,13,23],rho_1:10,rho_2:10,rho_m:10,rich:[0,23],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,17,23],ridge_sk:6,ridgebeta:5,right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,18,20,23,24],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,20,23,24],rigor:[0,23],ring:6,rise:[0,23],risk:[0,13,15,16,23],rival:4,river:[0,24],rm:[0,20,24],rmse:[0,24],rmsporp:13,rmsprop:[1,3,4,13],rnd_clf:10,rng:20,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:20,rntrick2:20,rntrick3:20,rntrick4:20,ro:[0,13,23],robert:22,robust:[0,23],robustscal:[0,24],roc:[7,10],role:[0,2,5,6,8,17,23,24],roll:6,room:[0,21,23,24],root:[0,5,9,13,20,23,24],rot:23,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13,24],routin:[13,18,23],row:[0,1,2,5,6,7,9,11,18,23,24],rr:[5,24],rrr:[5,24],rthe:[],rug:13,rule:[0,1,5,6,13,23,24],run:[0,1,2,4,5,6,8,9,11,13,15,17,23,24],runtim:[1,6,14],runtimewarn:[1,6],russel:23,rust:[0,15,17,18,23],rustad:[],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,20,23,24],s_1:6,s_:[3,6],s_i:[6,7],s_j:6,s_k:6,saddl:13,safe:[],safe_zip:[3,4,14],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,18,20,23,24],said:[6,9,13],sake:[0,5,7,11,23,24],sale:[0,23],sam:23,same:[0,1,2,3,4,5,6,8,9,11,12,14,18,20,23,24],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,20,23,24],sample_vari:14,sample_weight:[],sampleexptvari:20,samwis:23,sastri:11,satisfactori:[0,23],satisfi:[1,2,3,6,8,13,18,20],satur:[1,6],save:[0,4,6,7,9,13,23,24],save_fig:[0,6,7,9,10,23,24],savefig:[0,4,6,7,9,20,23,24],savetxt:4,saw:[5,24],scalabl:10,scalar:[2,5,6,10,13,24],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,18,21,23],scale_mean:4,scale_std:4,scalei:[],scaler:[0,7,8,9,10,11,24],scalex:[],scan:[5,7],scari:5,scatter:[0,1,6,7,8,9,14,23,24],scenario:[6,13],schedul:[13,21],scheme:[1,13],schigsog2l:[],schrage:20,scienc:[0,1,10,12,13,17,19,20,21,22,24],scientif:[0,15,17,23],scientist:[0,23],scikit:[3,5,6,7,8,9,10,13,17,18,19,22],scikit_learn:[0,16],scikitlearn:23,scikitplot:[7,10],scipi:[0,3,5,6,13,15,17,18,23,24],scl:6,score:[0,1,3,6,7,9,10,11,15,16,21,23,24],scores_kfold:6,scratch:[1,13],sdg:13,sdt_bfla8ua:[],seaborn:[0,1,3,6,7,23,24],seamless:[0,15,17,23],search:[0,1,3,5,9,13,23],sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,20,21,23,24],secondeigvector:11,secondli:12,section:[4,11,18,20,24],sector:[0,23],see:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,23,24],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,20,23,24],seed_imag:4,seek:[1,2,8],seem:[1,3,4],seemingli:[0,23],seen:[0,1,3,5,10,12,20,23],segment:13,seismic:6,seldomli:[0,23],select:[1,5,6,8,9,10,11,19,20,21,22,23,24],self:[1,2,5,24],sell:4,semest:[7,19],semi:[8,13],semilogx:6,send:[5,12,13,21,23],senior:[19,21],sens:[0,4,6,8,23],sensibl:3,sensit:[0,5,6,9,13,23,24],sent:2,sentenc:[4,12],sep:24,separ:[0,1,2,3,4,6,8,9,12,14,15,17,20,23],septemb:[16,23,24],sequenc:[2,3,4,7,9,10,12,13,17,18,20,23],sequenti:[1,3,4,10,12,20],seri:[0,1,2,3,4,5,6,10,11,12,13,18,23,24],serif:[0,7,20,23],serv:[0,1,2,3,5,7,13,22,23,24],session:[1,19,21,23],set:[1,4,5,6,7,8,10,11,13,14,16,17,18,20,21],set_major_formatt:6,set_major_loc:6,set_stream:[],set_tick:[1,8],set_ticklabel:1,set_titl:[0,1,2,3,7,12,14,23],set_xlabel:[0,1,2,3,7,12,23],set_xlim:[7,12],set_xticklabel:1,set_ylabel:[0,1,2,3,7,23],set_ylim:[7,12],set_ytick:7,set_yticklabel:[1,6],set_zlim:6,seth:4,setiosflag:[],setminu:6,setosa:[8,9],setosa_or_versicolor:8,setp:6,setprecis:[],setse:[],setup:[1,4,6,8,17,23,24],setw:[],sever:[0,3,5,6,7,8,9,11,12,13,17,18,20,23,24],sgd:[1,3],sgd_clf:8,sgdclassifi:8,sgdreg:13,sgdregressor:13,sgn:[5,24],sh:[],shallow:13,shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,23,24],shape_bas:2,share:[1,3,23],she:7,shift:[1,6,12,20],ship:3,shire:23,shortcom:13,shorten:4,shorter:20,shorthand:23,shortli:[18,23],should:[0,2,3,5,6,8,9,11,12,13,15,16,18,20,23,24],should_sync:[],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],show_shap:4,shown:[0,4,5,7,8,11,12,13,18,24],showpoint:[],shrink:[3,5,6,8,11,24],shrinkag:[5,6,24],shrunk:11,shuffl:[0,1,4,6,13,24],side:[0,2,5,8,12,13,18,23],sigh:[17,23],sigma0:20,sigma1:20,sigma2:20,sigma:[0,1,5,6,7,10,11,12,13,18,20,23,24],sigma_0:[5,24],sigma_1:[5,24],sigma_2:[5,24],sigma_:[5,18,23,24],sigma_fn:[7,12],sigma_i:[0,5,23,24],sigma_j:[5,24],sigma_m:[6,20],sigma_n:[11,20],sigma_t:13,sigma_x:20,sigmoid:[1,2,4,7,8,10,12],sigmundson:[6,24],sign:[1,2,7,8,10,20,21],signal:[1,3,10,12],signatur:[],signifi:4,signific:1,significantli:[1,13,20],sigurd:[],sim:[4,5,6,13,20],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,18,23,24],similarli:[0,1,3,5,8,10,13,20,23,24],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,20],simple_rnn:[],simplepredict:10,simpler:[0,1,5,6,7,13,16,17,23],simplernn:4,simplest:[0,1,3,4,9,10,12,14,23],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,17,18,20,23,24],simplic:[2,5,6,7,8,9,10,11,12,14,24],simplicti:[5,24],simplifi:[0,6,9,15,17,23,24],simplist:[3,6,20],simul:6,simultan:6,sin:[0,1,2,3,4,9,12,13,18,23],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,18,20,22,23,24],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,18,20,23,24],singular:[0,6,13,18,23],sinusoid:3,site:[0,1,2,3,4,6,7,8,11,13,14,19,23,24],situat:[0,4,5,7,13,20,23,24],six:[3,4,14,20],size:[0,1,2,3,4,5,6,8,9,10,11,13,18,20,23],sketch:10,ski:9,skill:[0,23],skip:11,skiprow:24,skl:[0,6,23,24],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,23,24],skplt:[7,10],sl:6,slack:8,slice:[2,18,23],slide:[0,3,15,16,20,23,24],slight:[6,13],slightli:[1,2,3,5,6,7,10,20,24],slope:[8,11,12],slow:[0,2,8,13,24],slower:[5,18,23,24],slowest:18,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,17,18,20,23,24],smaller:[0,1,2,5,6,8,9,11,13,20,23,24],smallest:[0,4,14,15,16,23],smallest_row_index:14,smooth:[0,3,6,9,13,23],sn:[0,1,3,6,7,23,24],sne:11,sneak:23,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,23,24],soar:6,social:[0,23],societ:23,soft:[1,7,10,12],soft_pmap:[3,4,14],soften:8,softmax:[3,7],softwar:[0,8,15,17,18],sol:8,sole:[0,6,23],solid:[0,7,23],solitem:[],soltyp:[],solut:[0,1,2,3,5,6,8,10,11,13,18,20,23,24],solutionsummari:[],soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,18,23,24],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],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,20],some_model:[6,24],somehow:4,someth:[0,1,3,4,7,9,11,20,23,24],sometim:[0,1,11,12,13,14,23,24],soon:[18,21],sophist:[0,23],sopt:13,sort:[5,6,9,11,20,24],sound:[3,5],sourc:[0,1,3,6,15,17,18,20,23,24],space:[0,1,4,5,8,9,11,12,13,14,20,24],span:[0,3,5,9,11,18,23,24],spare:1,spars:[3,6,18,23],sparse_mtx:[18,23],sparsecategoricalcrossentropi:3,sparsiti:10,spatial:[1,2,3,12],spdiag:[],speak:20,special:[6,7,10,12,13,18,20,23,24],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,17,18,20,22,23,24],specifi:[0,3,5,6,7,9,11,13,14,20,23],specifici:[0,10,23],spectacular:3,spectral:1,speech:[0,1,3,4,12,23],speed:[1,2,4,13],spend:20,sphere:[0,24],spin:6,spite:[0,23],spline:8,split:[1,3,4,5,6,8,9,10,11,14,20],splite:0,splitter:[1,10],spmatrix:[],spontan:20,spot:3,spread:[0,11,20,23,24],springer:[22,23],spuriou:13,sqquar:[],sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,20,24],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,18,20],squarederror:10,squaredeuclidean:14,squash:12,squeez:[],srand:[],srtm:6,srtm_data_norway_1:6,sse4:[],stabil:5,stabl:[0,4,5,6,7,9,11,17,23,24],stack:[2,3,4],stacklevel:[0,23],stage:[5,13],stai:[0,2,4,5,11,23,24],stand:[0,5,9,12,23,24],standadscal:24,standard:[0,1,4,5,6,7,8,10,12,15,16,18,20,23],standard_basi:2,standardscal:[0,6,7,8,9,10,11,24],stanford:13,start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,18,20,21,23,24],start_box:[2,13],start_nod:[2,13],start_tim:14,startpoint:[],stat:[6,24],state:[1,2,4,5,6,7,8,10,11,12,13,17,20,24],statement:[0,7,18],statist:[0,1,3,4,7,9,10,11,12,13,14,18,19,22,24],statu:[0,7,11,23,24],stavang:6,std:[0,4,6,23,24],stdev:[],stdout:[],steep:13,step:[0,1,2,4,6,7,9,10,11,12,13,14,18,23],step_fn:[7,12],step_length:13,steps_list:9,steps_per_epoch:[],stereo:3,stian:[],still:[0,2,3,5,6,11,13,20],stimuli:12,stk2100:[22,23],stk3155:[15,19,21],stk4021:[22,23],stk4051:[22,23],stk4155:[19,21],stk5000:22,stk:[22,23],stochast:[0,1,5,6,8,11,12,15,16,23],stock:4,stoke:12,stone:[0,7,23],stop:[1,4,7,9,11,13,14],storag:[5,24],store:[0,1,2,3,6,11,13,20,23],storehaug:[21,23],str:[1,3,4],straight:[0,6,8,13,23,24],straightforward:[0,2,3,5,6,8,9,10,13,18,23,24],strategi:[0,1,9,23],stratifi:6,streamtyp:[],strength:[0,5,14,24],stretch:11,strict:[8,13],strictli:[8,13],stride:[4,18],strike:6,string:1,stroke:7,strong:[3,6,9,10,12,18,20],strongli:[0,8,17,18,24],stronli:[0,24],structur:[0,1,2,3,6,9,10,12,17,23],stuck:[1,13],student:[0,19,21,22,23],studi:[0,3,4,5,6,7,8,11,12,13,17,22,23,24],studier:22,style:[0,7,9,18,23],sub:[9,12],subarg:[2,13],subdivid:[0,18,23],subfield:[0,23],subject:[6,8,20],submit:23,submodul:[3,4,14],subplot:[0,1,3,4,6,7,8,9,10,13,14,23,24],subplots_adjust:[8,20],subprogram:[18,23],subract:[0,24],subroutin:[0,23],subscript:1,subsequ:[1,4,5,6,12,18,20,24],subset:[1,6,9,12,13,17,23],subspac:[0,8,11,24],substanti:[9,10],substep:11,substitut:[3,6,12,18],subsubset:9,subtask:6,subtl:1,subtract:[0,2,4,5,6,11,13,18,20],subtre:9,subval:[2,13],succeed:[0,4,23],success:[3,7,9,13,20],successfulli:[4,9],sucess:[],sudo:[0,15,17,23],suffer:[0,1,2,5,10,23,24],suffici:[1,6,8,11,13],suggest:[1,13,22],suit:[8,12],suitabl:[0,20,24],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],sum_i:[0,2,5,6,8,13,24],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],summari:[1,3,4,10,19],summat:[0,3,16,24],sunni:9,superconduct:24,superfici:3,superscript:[1,12],supervis:[0,5,6,7,9,12,17,23,24],supplement:7,support:[0,1,9,10,11,13,17,23,24],suppos:[0,5,6,7,8,10,11,12,13,18,23,24],suppress:[5,13],sure:[0,1,4,6],surf:6,surfac:[0,6,23],surpass:6,surpris:[0,23],surround:[3,17],survei:[0,5,6,23,24],suyrzm0:[],svc:[8,9,10],svd:[0,6,11,23],svdinv:5,svm:[8,9,10,11],svm_clf:[8,10],swap:[],swapax:[],swath:[5,24],sy:[3,4,13,14],symbol:[1,5,11,13,17,20,23,24],symmeteri:1,symmetr:[0,5,8,11,12,13,18,23,24],symmetri:[6,9],sympi:[0,15,17,23],synonim:20,syntax:[1,13],syntaxerror:[1,8],syrk:[],system:[0,1,3,4,6,7,9,10,12,13,15,17,18,23],systemat:[4,6],t0:[3,6,13],t1:[2,13],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23],t_0:[2,9,13],t_1:13,t_:2,t_b:10,t_i:[1,2,5,12,24],t_j:12,t_k:9,tabl:[9,20,21,23],tabul:[0,23],tabular:23,tackl:4,tag:[2,3,4,5,6,7,12,13,14,18,20,24],taht:[0,23],tail:20,tailor:[2,8,11,23],taiwan:[0,23],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,20,23,24],taken:[0,1,3,6,10,13,18,23],tan:[2,3],tangent:[1,4,12,13],tanh:[1,4,7,8,12],tape:[],target:[0,1,2,3,4,5,6,7,8,9,10,11,12,23,24],target_meta:2,target_nam:9,task:[0,1,3,6,9,11,12,14,23],tau:[3,5,20],taught:23,tax:[0,24],taylor:[2,13],taylornr:13,tc:8,td:[1,6,13,23],teach:23,team:1,teaser:0,technic:[0,5,6,13,15,23,24],techniqu:[0,1,8,10,13,17,20,22,23,24],technolog:[0,1,23],tek5040:[],tell:[0,4,6,10,11,13,20],temp1:1,temp2:1,temp:1,temperatur:[0,9,23],temporarili:1,ten:[3,23],tend:[3,5,6,8,9,10,12,13,14,24],tendenc:[0,23],tension:6,tensor:3,tensorflow:[0,2,4,8,14,15,17,18,19,22,23,24],term1:[5,6,11,24],term2:[5,6,11,24],term3:[5,6,11,24],term4:[5,6,11,24],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,23,24],termin:[0,4,5,9,10,13,15,23,24],terrain1:6,terrain:6,test:[3,4,5,6,7,8,9,10,13,14,18,20],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:[0,1,3,5,6,10,23,24],test_split:9,testerror:[0,6,24],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,18,20,22,23,24],textbook:24,textual:9,textur:[1,9],tf:[1,3,4,13,14],tfe_py_execut:[],tflite:[3,4,14],th:[0,1,2,5,6,7,9,12,13,14,15,16,18,20,23,24],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,20,23,24],thank:[4,6,24],theano:[1,17,23],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,24],them:[0,1,3,4,6,8,9,10,11,12,13,18,23,24],theme:[0,23],themselv:[0,20,23],thenc:6,theorem:[2,6,7,24],theoret:[0,4,10,23],theori:[0,1,3,8,9,12,13,17,22,23],thereaft:[0,5,6,11,12,15,16,18,23],therebi:[0,5,7,11,23,24],therefor:[0,1,2,3,4,6,7,8,11,13,20,23,24],therein:11,thereof:[0,6,13,23],theta:[1,4,13,20],theta_:[1,13],theta_i:1,theta_k:[],theta_linreg:13,theta_t:13,thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24],thing:[0,1,2,4,5,7,9,20,23],think:[0,1,3,4,6,9,12,13,14,20,23],third:[0,3,6,13,21,23],thirti:7,thorughout:23,those:[0,3,5,6,8,9,10,11,18,19,23,24],though:[1,2,3,4,13,18,20],thought:[6,14,20],thousand:[0,1,23,24],thread:[],three:[0,1,3,5,6,8,9,12,15,18,19,20,21,23,24],threshold:[1,3,9,10,11,12,13],through:[0,1,2,3,4,5,6,8,11,12,13,14,17,18,20,23,24],throughout:[0,4,5,14,17,18,20,23],thu:[0,1,2,5,6,7,8,10,11,12,13,21,23,24],thumb:[0,6,23,24],thursdai:[21,23],tibshirani:[6,19,22,23,24],tick_param:6,ticker:[6,13,20],tif:6,tight_layout:[1,7],tightli:11,tild:[0,5,6,7,11,15,16,20,23,24],till:[0,4,7,8,9,10,12,18,23,24],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],timefunct:[],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,20,23,24],tmp:13,tmp_log:[],tn:[2,3,7],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,23],to_str:[],todai:3,todo:[3,4,14],togeth:[0,3,6,8,11,13,17,23,24],toi:14,told:13,toler:[2,6,14],tolist:4,tomographi:12,too:[0,2,4,5,6,9,11,13,15,20,22,23,24],took:[8,23],tool:[0,1,3,6,13,17,24],toolbox:8,top:[0,3,4,5,6,9,10,14,17,23],top_node_typ:[],top_trac:[],topic:[0,5,6,7,8,17,24],topolog:[1,3,12],toposort:2,torkjellsdatt:[21,23],toss:[10,20],total:[0,1,2,3,4,6,7,8,10,11,12,13,14,15,16,18,20,21,23,24],total_loss:4,totalclustervari:14,totalscatt:14,totalvari:[],toward:[1,2,7,12,13],town:[0,24],tp:[4,7],tpng:9,tpu:[13,17,23],tqdm:6,tr:24,trace:[2,13],trace_stack:[2,13],traceback:[0,2,3,4,6,9,10,13,14,15,23],traceback_util:[],tracer:[2,13],track:[3,13,14,18],tract:[0,24],tractabl:[0,23,24],trade:[5,9],tradeoff:[0,5,23,24],tradit:[0,1,4,6,23],train:[2,3,5,6,8,9,10,11,12,13],train_accuraci:[0,1,3,23],train_dataset:4,train_end:[0,1,24],train_error:6,train_funct:[],train_imag:[3,4],train_ind:6,train_label:[3,4],train_pr:1,train_siz:[0,1,3,24],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,23,24],train_test_split_numpi:[0,1,24],trainabl:[],trainable_vari:4,trained_model:[6,24],trainerror:[0,24],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:[0,23],trajectori:4,tran:[],transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],transit:[6,12],translat:[1,4,6,10,24],transpos:[1,5,11,18,24],travers:[0,5],treat:[0,1,3,6,12,13,20,23,24],tree:[0,1,6,17,23],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:20,treue:7,trevor:22,tri:[2,3,4,9,13],triain:0,trial:[0,2,4,6,13,20,23],triangl:13,triangular:18,trick:[3,4,8,11,13,20],trickier:20,tridiagon:18,trillion:17,trivial:[0,1,5,11,20,23],troubl:[0,8,12,24],truck:3,true_beta:[6,24],true_divid:1,true_fun:6,truli:23,tucker:8,tuesdai:[21,23],tumor:[7,9],tumour:7,tunabl:1,tune:[4,9,13,18,23],tup:[],tupl:[2,13],turn:[0,1,5,6,7,8,9,10,11,12,13,18,20,23,24],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,20],twice:13,twist:11,twister:[],two:[0,1,2,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,22,23],tx:13,tx_1:13,txt:4,ty:13,type:[0,1,3,6,8,10,13,16,18,20,24],typeerror:[2,13],typic:[0,1,2,3,4,5,7,9,10,12,13,20,23,24],u:[0,2,5,6,8,10,11,12,18,23,24],u_:18,u_i:12,u_m:10,ua:[0,23],ubuntu:[0,15,17,23],uci:[0,24],ufunc:2,uio:[21,22],un:14,unari:[18,23],unary_f:[2,13],unary_oper:[2,13],unary_to_nari:[2,13],unbalanc:[6,9],unbias:[0,5,6,23],unbroadcast:2,unbroadcast_f:2,uncent:6,uncertainti:[0,5,23],uncertitud:20,unchang:[1,3],uncorrel:[10,20],undefin:[5,24],under:[0,1,3,4,5,6,10,13,14,15,16,17,23,24],underdetermin:[0,23],underfit:[1,6],underflowproblem:5,undergo:5,undergradu:[19,21],underli:[0,1,9,13,20,23],underset:[4,14],understand:[0,1,3,5,6,10,13,14,17,23,24],understood:[8,13],undesir:8,undetermin:[5,8],undo:4,unexpect:6,unexpected:20,unfair:[6,24],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,20,23,24],uniform_real_distribut:[],uniformli:[13,20],unifrompdf:20,unimport:13,union:[5,6],uniqu:[0,2,6,13,14,18,23],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,20,23,24],unitari:[5,6,18,24],unitarili:[18,23],uniti:20,univari:20,univers:[0,1,2,13,15,17,19,21,23,24],unix:1,unknow:[0,18,23],unknown:[0,1,3,4,5,6,8,10,13,16,18,23,24],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,23,24],unlik:[1,2,3,8,13],unnecessarili:9,unord:3,unravel:1,unrol:[3,11],unseen:[0,7,9],unstabl:1,unsupervis:[0,1,4,12,17,23],unsymmetr:[18,23],until:[1,2,4,9,12,13,14],untouch:0,unus:[3,4,14],unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,17,18,20,21],updat:[1,2,3,4,10,12,13,14],uploa:23,upload:[17,22],upon:[0,1,6,7,11,18],upper:[0,8,9,16,18,24],uppercas:[18,23],upsampl:4,upscal:4,us:[4,5,6,8,9,10,11,12,14,15,16,18,19,20,22],usa:23,usag:[0,8,17,23,24],usd10000:[0,24],usd:[0,24],use_bia:4,use_multiprocess:[],usecol:[0,23],useless:1,user:[0,1,2,3,4,6,7,8,11,14,15,17,18,23,24],userwarn:[3,4,6,14],usetex:20,usg:6,usr:20,usual:[0,3,4,7,12,13,14,23],ut:5,util:[0,1,3,4,6,7,10,14,23,24],ux:18,v0:20,v1:[3,4,14,20],v2:[3,4,14,20],v8ejbfezkui:[],v:[2,4,5,6,11,13,17,24],v_0:11,va:1,val:13,val_accuraci:3,val_loss:4,vale:2,valid:[0,1,4,7,9,10,13,17,20,23,24],validation_batch_s:[],validation_data:3,validation_freq:[],validation_split:4,validation_step:[],valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,23],valuat:9,valueerror:[0,2,23],valy:4,van:[0,23,24],vandenbergh:[8,13],vandermond:[0,23],vanilla:[0,6,11,14,24],vanish:[1,4,13,20],var_x:20,varabl:8,varepsilon:[5,6],varepsilon_:[5,6],varepsilon_i:[5,6],vari:[0,1,3,5,6,10,15,16,23],variabl:[0,1,2,5,6,7,8,10,11,12,13,14,18,23,24],varianc:[0,1,5,7,9,10,11,13,14,17,18,20,23,24],variance_i:[5,11,24],variance_x:[5,11,24],variant:[0,1,6,8,12,13,23,24],variat:[3,4,11,23],varieti:[0,3,12,15,17,23],variou:[1,3,5,6,7,8,9,11,12,13,16,17,18,20,24],vartempvec:[],varvec:[],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13],vec:6,vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17],vector_mean:14,ventur:[0,8,15,17,23],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,22,23,24],verifi:[3,11,18,23],versatil:[8,23],versicolor:[8,9],version:[0,3,4,10,13,14,15,17,18,20,23,24],versu:1,vert:[0,1,5,6,7,8,9,11,13,23,24],vert_1:[5,6,24],vert_2:[5,6,11,24],via:[0,5,6,7,8,9,10,11,12,15,17,18,19,20,21,23,24],vidal:11,video:[0,1,12,17,19,21,23],view:[1,3,5,6,12,13,20,22,23],violat:8,virginica:9,viridi:[0,1,2,3,23],virtual:1,viscos:13,viscou:13,visibledeprecationwarn:2,vision:[0,3,23],visual:[0,3,11,12,15,17,23,24],visualis:1,viz:[6,8,20],vjiseqm2lci:[],vjp:[2,13],vjp_0:2,vjp_0_fun:2,vjp_1:2,vjp_1_fun:2,vjp_argnum:2,vjpfun:2,vjpmaker:2,vjpnode:[2,13],vmap:13,vmax:[1,6],vmc:[],vmin:[1,6],voic:3,volum:[0,3,23],vote:10,voting_clf:10,votingclassifi:10,votingsimpl:10,vrtx:[],vs:[0,4,6,24],vspace:[2,13],vstack:[5,11,18,20,23,24],vt:[5,24],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],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_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:[0,1,3,4,5,6,7,10,11,12,13,14,18,23,24],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],walk:9,walker:20,wang:[0,23],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,20,23,24],warn:[0,1,3,4,8,14,23,24],warrant:6,wast:3,watch:17,wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24],weak:[9,10,14],weather:[1,12],web:[17,19,21,23,24],webpag:23,websit:[6,18,19,23],wedg:[8,20],wednesdai:[21,23],wee:11,week:[0,5,6,7,19,21],weekli:[17,21,22,23],weight:[0,1,2,3,6,7,9,10,12,13,20,24],weigth:2,welcom:[8,17],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,20,22,23,24],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,20,23,24],wessel:[0,23,24],westbi:[],westby:[],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],whenev:[13,20],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],wherea:[6,20],wherein:[1,12],whether:[0,3,5,7,9,20,23],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24],whichev:[1,3],while_p:[3,4,14],white:9,who:[0,19,23],whole:[1,3,4,5,9,11,13],whose:[0,6,10,20,24],whow:[11,24],why:[0,1,3,6,13],wide:[0,1,3,6,7,12,15,17,18,23],widehat:6,width:[0,3,8,9,23],wieringen:[0,23,24],win:10,wind:9,wing:[21,23],winther:2,wiothout:[6,24],wiscons:7,wisconsin:10,wisdom:6,wise:[0,1,5,12,13,24],wish:[0,2,5,7,8,11,13,14,18,23,24],with_std:[0,24],wither:6,within:[0,2,3,4,7,9,12,13,14,20,22,23],withinclust:14,without:[0,1,5,6,8,9,11,12,13,23,24],won:[0,23],wonder:8,woodi:23,word:[0,1,3,4,5,6,7,14,20,23,24],work:[0,1,4,6,7,8,9,13,15,17,19,20,21,23,24],worker:[],workshop:23,world:[0,8,23,24],worldwid:[0,23],wors:[0,1,3,4,6,23],worst:9,worth:9,would:[0,1,3,5,6,7,8,9,10,11,12,13,18,20,23,24],wrap:[3,4,6,14,18,23],wrap_toco:[3,4,14],wrap_util:[2,13],wrapper:[0,23],write:[0,1,2,3,5,6,7,8,12,13,15,16,18,23,24],written:[0,2,3,5,11,12,13,16,17,18,20,23,24],wrong:[1,8],wrongli:10,wrote:[5,11,24],wrt:[2,10,13],wth:[10,13],www:[17,18,22,23],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,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23],x_0:[0,5,11,18,23,24],x_1:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_2:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_3:[8,18,20],x_4:18,x_:[0,2,3,5,6,8,10,11,13,14,18,20,23,24],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,18,20,23,24],x_input:2,x_ix_:[0,23],x_iy_i:8,x_j:[0,2,8,9,12,16,20,24],x_jy_j:8,x_k:[12,14,18,20,24],x_l:20,x_m:[6,12,18,20],x_n:[0,2,3,6,8,11,12,13,18,20,23],x_new:[9,10],x_offset:[6,24],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:[0,1,3,5,6,7,9,10,11,23,24],x_test_own:6,x_test_scal:[0,6,7,9,10,11,24],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,23,24],x_train_mean:[6,24],x_train_own:6,x_train_scal:[0,6,7,9,10,11,24],x_val:1,xarrai:[17,23],xavier:1,xbnew:13,xcode:[0,15,17,23],xdclassiffierconfus:10,xdclassiffierroc:10,xeinsum:[3,4,14],xg_clf:10,xgb:10,xgbclassifi:10,xgboost:9,xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13],xi_1:8,xi_:8,xi_i:8,xk:8,xla:[3,4,13,14,17,23],xla_client:[3,4,14],xla_comput:[3,4,14],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],xlim:[6,10],xm:9,xmesh:13,xnew:[0,13,23],xp:20,xpanda:[0,24],xpd:[5,11,24],xplot:0,xs:9,xscale:[0,24],xsr:9,xt_x:13,xtest:6,xtick:[3,6,8,9],xtrain:6,xu:[0,23],xx:[0,18,23],xy:[0,6,8,18,23],xytext:8,xz:[18,23],y1:4,y2:4,y3:4,y:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],y_0:[0,5,11,18,23,24],y_1:[0,5,8,9,11,13,18,23,24],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:[0,5,8,9,11,18,23,24],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_:[0,1,5,6,10,11,18,23,24],y_data:[0,1,5,6,23,24],y_data_ful:1,y_decis:8,y_fit:[0,24],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,18,23,24],y_if_:10,y_ix_:[0,23],y_ix_i:[7,8,13,24],y_iy_jk:8,y_j:[6,8,12],y_k:12,y_m:18,y_model:[0,4,5,6,23,24],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:[6,24],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,24],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10],y_scaler:6,y_test:[0,1,3,4,5,6,7,9,10,11,23,24],y_test_onehot:1,y_test_predict:[0,24],y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,23,24],y_train_mean:[6,24],y_train_onehot:1,y_train_predict:[0,24],y_train_scal:6,y_val:1,ye:[3,6,7],year:[0,17,23],yet:[0,1,6,8,11,13,23],yhd5w:[],yi:13,yield:[0,2,5,6,8,10,12,13,14,18,20,23],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],ylim:[3,6],ym:9,ymesh:13,yn:0,yo:[8,9,10],yoshua:[1,22],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,20,21,22,24],young:[0,23],your:[1,2,4,5,6,8,11,13,17,18],yourself:[11,13,23],youtu:[],youtub:17,ypred:6,ypredict2:13,ypredict:[0,13,23,24],ypredictlasso:5,ypredictol:[0,5],ypredictown:[6,24],ypredictownridg:6,ypredictridg:[0,5,6],ypredictskl:[6,24],yridg:23,ys:9,ytest:6,ytick:[3,6,8,9],ytild:[0,6,23,24],ytildelasso:5,ytildenp:[0,23,24],ytildeol:[0,5],ytildeownridg:6,ytilderidg:[5,6],ytrain:6,yvqgvcsovpw:[],yx:[18,23],yy:[18,23],yz:[18,23],yzbxji6lgl0:[],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,20,23,24],z_0:[18,23],z_1:[18,23],z_2:[18,23],z_:[1,2,12,18,23],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,24],z_m:1,z_mod:9,z_o:1,z_output:2,zaman:20,zaxi:6,zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],zeros_lik:4,zeroth:24,zfill:4,zip:[2,4,6,13],zl:[],zm_h:[0,23],zn:[0,24],zone:[0,24],zoom:23,zx:[18,23],zy:[18,23],zz:[18,23]},titles:["<span class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Teaching schedule with links to material","<span class=\"section-number\">1. </span>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":[0,15,16,23,24],"10":[],"11":[],"12":[],"13":[],"14":[],"15":[],"16":[],"17":[],"18":[],"19":[],"2":[0,15,16,23,24],"20":[],"2021":[],"2022":[],"2023":21,"21":[],"22":[],"23":[],"24":[],"25":[],"26":[],"27":[],"28":[],"29":[],"3":[0,15,16,23,24],"30":[],"31":24,"34":[15,23],"35":[16,24],"36":[],"37":[],"38":[],"39":[],"4":[0,24],"40":[],"41":[],"4155":[],"42":[],"43":[],"44":[],"45":[],"46":[],"47":[],"5":0,"6":[],"7":[],"8":[],"9":[],"case":[8,10,20,24],"do":[1,23],"final":[12,24],"function":[0,1,6,7,8,10,11,12,13,20,23,24],"import":[5,18,23,24],"new":4,A:[0,1,4,8,9,23],And:[23,24],In:21,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,23,24],To:[23,24],With:4,about:[23,24],activ:[1,12],actual:[],ad:[0,6,23,24],adaboost:10,adagrad:13,adam:13,adapt:10,adjust:1,adversari:4,again:[3,9],ai:23,aim:[8,9,23],aka:[23,24],algebra:[18,23],algorithm:[9,10,11,12,24],algortithm:13,all:8,an:[0,4,10,23],analys:[5,24],analysi:[0,5,6,11,17,20,23,24],analyt:[0,16],ani:13,anoth:9,appli:17,approach:[0,8,14,23],approxim:12,architectur:1,arrai:[18,23],assist:21,august:24,autocorrel:20,autograd:[2,13],automat:13,back:[1,11,12],background:17,bag:10,base:13,basic:[0,5,7,9,10,11,18,24],batch:1,bay:5,befor:11,better:8,bia:6,binari:1,bind:23,binomi:[],bird:10,block:[],boldsymbol:24,boost:10,bootstrap:[6,10],boston:[0,24],breast:1,brief:23,bring:12,build:[1,3,9],c:23,calcul:24,can:23,cancer:[1,7,9,11],cart:9,center:24,central:[13,17,20],chain:12,chang:10,channel:23,chi:[0,23],choos:1,cifar01:3,classic:11,classif:[1,9,10],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,23,24],collect:[1,3],commun:23,compar:[2,10],complet:24,complex:[0,6,24],complic:6,compon:11,comput:9,computerlab:23,con:9,concept:20,conjug:13,continu:[],contn:23,convex:[8,13],convolut:[3,12],correl:[11,24],cost:[1,10,24],cours:[17,22,23],covari:[5,11,20,24],cover:23,cross:6,cumul:[],cython:23,data:[0,1,3,6,7,9,11,15,16,17,20,23,24],dataset:[1,3],deadlin:23,decai:2,decis:[9,10],decomposit:[5,11,18,24],deep:[1,2],defin:[1,23],definit:[],degre:[0,24],demonstr:[],dens:[0,23],deriv:[5,12,24],descent:[2,10,13],design:24,detail:[3,23],develop:1,deviat:[],diagon:11,dice:[],differ:8,differenti:[2,13],diffus:2,dimension:[2,3,8,24],disadvantag:9,discret:20,disguis:[],distribut:[5,20],doe:24,domain:20,down:1,dropout:1,economi:24,element:[0,20,23],elimin:18,energi:23,ensembl:10,entropi:9,environ:[0,15,23],equat:[0,2,12,23,24],error:[0,10,23,24],essenti:23,etc:23,euler:2,evalu:1,event:[],exampl:[0,1,2,3,4,6,7,8,9,10,23,24],exercis:[0,6,15,16,23,24],expect:20,experi:20,explor:[0,15,16,23],exponenti:2,express:[23,24],extrapol:4,extrem:[10,23],ey:10,fall:21,famili:[1,23,24],famou:18,fantast:24,featur:[9,18,24],feed:[1,12],fine:1,first:[4,12,23,24],fit:[0,10,23],fix:24,forc:3,forest:10,format:23,forward:[1,2,12],fourier:3,frank:[6,24],freedom:[0,24],frequent:24,frequentist:[0,23],from:[5,10,12,24],full:2,further:[3,5,24],fy:[],gan:4,gaussian:18,gd:13,gener:[4,9,23],geometr:11,gini:9,good:[0,23],grade:[21,23],gradient:[1,2,10,13],growth:2,ha:17,handl:[18,23,24],have:23,heard:23,hessian:24,hidden:2,hous:[0,24],how:[],hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ii:23,implement:1,implic:[5,24],improv:1,includ:13,increment:11,index:9,inform:21,input:2,instal:[17,23],instructor:21,intercept:24,interpret:[5,11,23,24],introduc:[11,13,24],introduct:[0,6,17,18,23],invers:[5,18],invert:24,iter:10,its:24,jackknif:[],jacobian:24,jax:13,julia:23,jungl:10,kera:[1,3],kernel:[8,11],lagrangian:8,lasso:[5,6,24],last:24,later:[5,24],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,17,23,24],least:[5,6,23,24],lectur:[23,24],level:10,librari:[17,23],likelihood:7,limit:[1,13,20],linear:[0,8,13,18,23,24],link:[5,11,19,22,24],logist:[7,23],loss:24,lu:18,machin:[0,8,13,17,23],mai:23,main:20,make:[0,9,10,15,16,23,24],mani:[10,12],manipul:24,mass:23,materi:[19,23,24],math:[5,24],mathemat:[3,5,8,24],matric:[5,18,23],matrix:[1,5,11,12,18,23,24],matter:[0,23],max:24,mean:[0,23,24],meet:[5,10,20,23,24],mercer:8,mersenn:[],method:[6,9,10,13],min:24,minim:23,ml:23,mlp:12,mnist:[3,4],model:[0,1,4,6,12,23],moment:[],momentum:13,moon:[8,9],more:[3,6,18,23,24],multilay:12,multipl:[1,3],multipli:8,name:[],need:23,network:[1,2,3,4,7,12,23],neural:[1,2,3,4,7,12,23],non:8,normal:[0,1],norwai:[],notat:12,note:24,novemb:[],now:[1,9,13],nuclear:[0,23],nueral:[],numba:23,number:[0,2,20,24],numer:[2,20],numpi:[18,23],object:3,observ:[],obtain:11,octob:[],od:2,off:6,ol:[5,6],one:[2,12],oper:18,optim:[1,8,13,17,23,24],order:13,ordinari:[5,6,23,24],organ:[0,23],oslo:22,other:[4,9,11,12,18,23,24],our:[0,4,5,11,13,23,24],outcom:[17,23],output:2,overarch:[0,4,8,9,23,24],overview:[10,23],own:[0,10,11,15,16,23,24],packag:[18,23],panda:[23,24],paramet:[23,24],part:[13,17,24],partial:2,pass:1,pca:11,pdf:20,perceptron:12,perform:[1,9],period:3,perspect:1,plan:24,point:4,poisson:2,polynomi:3,popul:2,practic:[13,21,23],pre:[1,3],predict:4,preprocess:24,prerequisit:[3,17,23],princip:11,principl:3,pro:9,probabl:[5,20],problem:[1,2,13,23,24],procedur:[9,23],process:[1,3],program:[2,13],project:[6,23],prop:13,propag:[1,12],properti:[5,20,24],pseudo:[],python:[0,9,15,17,18,23],quick:8,r:23,ran0:[],random:[10,11,20],read:[9,23,24],real:[6,23],recip:[],recommend:[23,24],recurr:[4,12],reduc:[0,24],reduct:3,reformul:2,regress:[0,5,6,7,9,10,13,23,24],regular:1,relat:24,relev:[22,24],relu:1,remark:3,remind:[6,8,23],repeat:24,replac:13,requir:[2,17],resampl:6,rescal:6,residu:24,resourc:2,result:24,revisit:13,rewrit:[23,24],ridg:[0,5,6,24],rm:13,rng:[],rule:12,s:[8,10],same:13,sampl:11,scale:24,schedul:[19,23],schemat:9,scheme:2,scienc:23,scikit:[0,1,11,15,16,23,24],second:13,select:[],semest:21,septemb:[],set:[0,2,3,9,12,15,23,24],sgd:13,should:1,similar:13,simpl:[0,4,9,13,23,24],singl:10,singular:[5,11,24],situat:[],size:24,soft:8,softmax:1,softwar:23,solv:2,solver:13,some:[13,18,23,24],specifi:2,split:[0,15,16,23,24],squar:[0,5,6,10,23,24],standard:[13,24],state:[0,23],statement:23,statist:[5,6,17,20,23],steepest:[10,13],still:24,stk3155:[],stochast:[13,20],strongli:23,subtract:24,suggest:23,summari:[21,23],superposit:3,supervis:1,support:8,svd:[5,24],systemat:3,t:24,teach:[19,21],teacher:[21,23],techniqu:[6,11],technolog:17,tensorflow:[1,3],tent:23,test:[0,1,15,16,23,24],textbook:[22,23],thei:23,theorem:[5,8,11,12,20],theori:20,thi:23,think:24,three:[],thursdai:24,tip:13,togeth:12,tool:23,top:1,topic:23,toss:[],toward:11,trade:6,tradeoff:6,train:[0,1,4,15,16,23,24],transform:3,tree:[9,10],tune:1,two:[3,8,17,24],type:[2,4,12,23],uio:23,uncorrel:[],uniform:[],univers:[12,22],unsupervis:14,up:[0,2,9,12,15,23,24],us:[0,1,2,3,7,13,17,23,24],valid:6,valu:[5,11,20,24],variabl:20,varianc:6,variou:[0,15,23],vector:[8,12,18,23,24],view:[0,4,10,24],visual:[1,9],vs:3,wai:9,wave:2,we:23,week:[15,16,23,24],weekli:19,what:[0,23,24],which:1,why:[23,24],wisconsin:7,wrap:24,write:[4,11],x:24,xgboost:10,you:23,your:[0,10,15,16,23,24]}})
\ No newline at end of file
diff --git a/doc/LectureNotes/_build/html/week35.html b/doc/LectureNotes/_build/html/week35.html
index f0fc0e886..008f02ba2 100644
--- a/doc/LectureNotes/_build/html/week35.html
+++ b/doc/LectureNotes/_build/html/week35.html
@@ -1611,7 +1611,7 @@ Since we are not using <strong>Scikit-Learn</strong> here we can define our own
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>0.9963202597920238
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>0.99541140030306
 </pre></div>
 </div>
 </div>
@@ -1628,7 +1628,7 @@ Since we are not using <strong>Scikit-Learn</strong> here we can define our own
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>0.008550594684081035
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>0.009710035292693498
 </pre></div>
 </div>
 </div>
@@ -1643,31 +1643,31 @@ Since we are not using <strong>Scikit-Learn</strong> here we can define our own
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[1.09846636e-02 2.39074222e-02 4.94861749e-03 4.55640387e-02
- 1.31193395e-02 1.62470815e-03 2.46575843e-02 7.80638926e-02
- 2.19677483e-02 3.99901131e-02 2.68626148e-03 3.97731700e-02
- 4.79285683e-02 6.69363975e-02 1.02951554e-02 3.69826476e-02
- 6.29115152e-03 8.12289498e-02 3.11909685e-03 7.77144798e-04
- 8.15320771e-03 2.45720968e-02 5.12803365e-02 2.34378387e-02
- 2.33645986e-02 1.17796101e-02 2.80344720e-02 8.92995253e-02
- 1.24844778e-02 4.21582995e-02 1.89591553e-02 2.75357959e-02
- 2.44906236e-02 1.84031027e-02 2.09739330e-02 5.70421972e-03
- 2.55914617e-02 4.10427270e-02 6.55907387e-04 4.63734811e-03
- 8.42882114e-03 1.00851638e-04 5.19264104e-02 1.94917559e-05
- 6.96542994e-03 4.08924325e-03 4.08743287e-03 9.75853556e-03
- 4.04075841e-02 2.70473799e-02 1.72199579e-02 4.24501973e-02
- 7.08373167e-04 4.25201286e-02 5.69487891e-03 3.18217743e-03
- 1.85979474e-02 4.82250097e-02 8.96735081e-02 5.53952664e-02
- 5.51900727e-02 4.98842948e-03 1.30232456e-02 3.45220770e-02
- 4.12394241e-02 1.46400080e-02 2.27932015e-02 1.16054190e-03
- 1.53971260e-02 3.77533038e-02 8.53502096e-03 1.82404007e-02
- 1.86014003e-02 2.93792215e-02 3.66950317e-02 2.15456415e-02
- 2.21576737e-02 8.38730917e-03 2.98005862e-02 2.03932541e-03
- 4.60083846e-03 7.02160095e-03 5.76598941e-03 9.56807589e-03
- 3.49730046e-02 1.61899355e-02 1.47158029e-02 6.09404851e-04
- 5.14724135e-03 3.92916438e-02 2.88352503e-02 5.61520194e-02
- 4.33646268e-02 3.26506981e-03 1.51400374e-02 1.10235180e-02
- 7.63332882e-03 2.93229640e-02 6.85071429e-03 2.29148545e-03]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[3.79190435e-03 8.55070893e-03 3.86058560e-02 3.45643708e-02
+ 1.28500583e-02 5.10712245e-02 1.17764878e-02 1.13687085e-02
+ 1.74592114e-02 1.33939645e-03 2.27552531e-02 2.28284417e-02
+ 5.61536670e-02 6.48783370e-03 1.69356940e-02 7.00289406e-02
+ 2.45571233e-02 5.79106527e-02 7.31138734e-02 4.08448544e-02
+ 6.91811160e-03 4.97200305e-02 2.45268835e-02 1.97467734e-02
+ 5.60268567e-03 9.32784259e-04 7.08066746e-03 3.19910037e-03
+ 3.26521761e-02 1.36227629e-02 2.26896710e-02 3.55936475e-04
+ 2.49887949e-02 2.39417707e-05 2.39614347e-03 4.07789772e-02
+ 2.71075825e-02 6.82771329e-04 9.78018374e-03 8.87532289e-03
+ 2.42190899e-02 2.79827506e-02 1.34852463e-02 2.10441496e-02
+ 2.51850390e-02 4.86387759e-02 7.96257580e-03 2.40828861e-02
+ 3.60164827e-02 1.21503438e-01 4.62451626e-02 2.73628359e-02
+ 5.69981939e-03 6.30984244e-02 2.51054961e-03 3.86597540e-02
+ 3.69313663e-02 9.77836133e-03 5.43007002e-02 8.49862065e-03
+ 9.34037032e-03 2.08910476e-02 2.52606351e-02 5.07087395e-03
+ 4.11276576e-02 3.72904541e-02 2.13618516e-02 1.98880065e-02
+ 3.82975422e-02 1.18603611e-02 1.05236797e-02 4.00183687e-02
+ 6.56447742e-03 2.50173752e-02 3.42790075e-02 1.52902847e-02
+ 4.92169784e-02 3.50733669e-02 8.97665553e-03 4.56542321e-02
+ 3.57807896e-02 4.65359027e-03 1.02430520e-02 1.09480900e-03
+ 2.99948754e-02 1.60056803e-02 9.14266332e-02 2.21171751e-02
+ 2.21266166e-02 2.39548035e-02 1.67236038e-02 2.92337385e-02
+ 5.68040392e-02 3.33819480e-02 1.59981487e-02 3.13006658e-02
+ 3.20098424e-02 6.45146007e-03 3.82092612e-03 2.25724702e-02]
 </pre></div>
 </div>
 </div>
@@ -1736,15 +1736,15 @@ but now splitting the data into a training set and a test set.</p>
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[ 1.90813514  0.65746064  4.09759873 -0.08945041  0.46023985]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[ 1.95079224  0.81447915  1.26265627  5.0771079  -2.04184782]
 Training R2
-0.9965048209369255
+0.9966080206050006
 Training MSE
-0.008089688732934681
+0.008334493024006613
 Test R2
-0.9963525271588923
+0.9954205504035075
 Test MSE
-0.0072559952738542694
+0.012501013881387798
 </pre></div>
 </div>
 </div>
@@ -3974,7 +3974,7 @@ the columns of <span class="math notranslate nohighlight">\(\boldsymbol{V}\)</sp
 <span class="math notranslate nohighlight">\(\boldsymbol{v}_i\)</span> are hierarchically ordered by how much correlation they
 encode from the columns of <span class="math notranslate nohighlight">\(\boldsymbol{X}\)</span>.</p>
 <p>Note that these are also the eigenvectors and eigenvalues of the
-Hessian matrix.</p>
+Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.</p>
 <p>If we now recall the definition of the covariance matrix (not using
 Bessel’s correction) we have</p>
 <div class="math notranslate nohighlight">
diff --git a/doc/LectureNotes/_build/jupyter_execute/week35.ipynb b/doc/LectureNotes/_build/jupyter_execute/week35.ipynb
index 058045d2f..1fb671199 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": "0babeebd",
+   "id": "e0ac9f47",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97c00fa1",
+   "id": "20d0da53",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4a3ef03",
+   "id": "22448e3d",
    "metadata": {
     "editable": true
    },
@@ -49,7 +49,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cce1437b",
+   "id": "3a79d77d",
    "metadata": {
     "editable": true
    },
@@ -65,7 +65,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52737d8a",
+   "id": "ae5da086",
    "metadata": {
     "editable": true
    },
@@ -99,7 +99,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "671d6e88",
+   "id": "9f1bacbf",
    "metadata": {
     "editable": true
    },
@@ -115,7 +115,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff12276e",
+   "id": "65cc3dd0",
    "metadata": {
     "editable": true
    },
@@ -127,7 +127,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "047c45e4",
+   "id": "9817bfd1",
    "metadata": {
     "editable": true
    },
@@ -137,7 +137,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "429101eb",
+   "id": "f8aad43a",
    "metadata": {
     "editable": true
    },
@@ -149,7 +149,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5e3146c",
+   "id": "e3d82d66",
    "metadata": {
     "editable": true
    },
@@ -170,7 +170,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7dbe051b",
+   "id": "8f723842",
    "metadata": {
     "editable": true
    },
@@ -182,7 +182,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4fc0ccc9",
+   "id": "bc1bd2ac",
    "metadata": {
     "editable": true
    },
@@ -195,7 +195,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b74ac188",
+   "id": "fd86d13e",
    "metadata": {
     "editable": true
    },
@@ -207,7 +207,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3dd89363",
+   "id": "9e4182c0",
    "metadata": {
     "editable": true
    },
@@ -219,7 +219,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9c8ee6d",
+   "id": "98d9bd56",
    "metadata": {
     "editable": true
    },
@@ -229,7 +229,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1a7d81e",
+   "id": "d4a31a4c",
    "metadata": {
     "editable": true
    },
@@ -241,7 +241,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e470402",
+   "id": "cc31ead7",
    "metadata": {
     "editable": true
    },
@@ -254,7 +254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de2d1c2e",
+   "id": "cbd1baab",
    "metadata": {
     "editable": true
    },
@@ -266,7 +266,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f2c6a27",
+   "id": "e0562917",
    "metadata": {
     "editable": true
    },
@@ -276,7 +276,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2a53c69",
+   "id": "cc542ad8",
    "metadata": {
     "editable": true
    },
@@ -288,7 +288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e6be165",
+   "id": "fb4287eb",
    "metadata": {
     "editable": true
    },
@@ -300,7 +300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e1aa69e",
+   "id": "91c1c4e2",
    "metadata": {
     "editable": true
    },
@@ -311,7 +311,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6808670",
+   "id": "db1b66ea",
    "metadata": {
     "editable": true
    },
@@ -323,7 +323,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1681f8b5",
+   "id": "4716bdab",
    "metadata": {
     "editable": true
    },
@@ -342,7 +342,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "079581c8",
+   "id": "e9833b82",
    "metadata": {
     "editable": true
    },
@@ -355,7 +355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2d8bbbe",
+   "id": "3492b7ee",
    "metadata": {
     "editable": true
    },
@@ -365,7 +365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6f6fa32",
+   "id": "d2c35465",
    "metadata": {
     "editable": true
    },
@@ -377,7 +377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c40e93cb",
+   "id": "1f18e09c",
    "metadata": {
     "editable": true
    },
@@ -387,7 +387,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "817e6b7e",
+   "id": "e740df2b",
    "metadata": {
     "editable": true
    },
@@ -399,7 +399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e81cba3",
+   "id": "529cdc4c",
    "metadata": {
     "editable": true
    },
@@ -409,7 +409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f444a6f6",
+   "id": "d46fdfa6",
    "metadata": {
     "editable": true
    },
@@ -421,7 +421,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0a4d2f3",
+   "id": "d7e2a6c8",
    "metadata": {
     "editable": true
    },
@@ -432,7 +432,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b4fb52ac",
+   "id": "e210bf52",
    "metadata": {
     "editable": true
    },
@@ -444,7 +444,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "625eedb8",
+   "id": "5f1a1000",
    "metadata": {
     "editable": true
    },
@@ -454,7 +454,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4860d6a",
+   "id": "79f3a458",
    "metadata": {
     "editable": true
    },
@@ -466,7 +466,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3dbaea0",
+   "id": "0e7cf91b",
    "metadata": {
     "editable": true
    },
@@ -476,7 +476,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12a58017",
+   "id": "6c3736f3",
    "metadata": {
     "editable": true
    },
@@ -488,7 +488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e01c27e",
+   "id": "6b2f9416",
    "metadata": {
     "editable": true
    },
@@ -508,7 +508,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a674207",
+   "id": "702f5c24",
    "metadata": {
     "editable": true
    },
@@ -535,7 +535,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "32d78057",
+   "id": "43ab73e6",
    "metadata": {
     "editable": true
    },
@@ -547,7 +547,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b05fa6a7",
+   "id": "82078c10",
    "metadata": {
     "editable": true
    },
@@ -559,7 +559,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5d01c3c2",
+   "id": "4a024a84",
    "metadata": {
     "editable": true
    },
@@ -575,7 +575,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f6abac54",
+   "id": "a87fdfb1",
    "metadata": {
     "editable": true
    },
@@ -593,7 +593,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83090779",
+   "id": "78689f85",
    "metadata": {
     "editable": true
    },
@@ -605,7 +605,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af17b7d4",
+   "id": "6c9f7030",
    "metadata": {
     "editable": true
    },
@@ -617,7 +617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c67fb280",
+   "id": "2bacebe3",
    "metadata": {
     "editable": true
    },
@@ -628,7 +628,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3289be1",
+   "id": "e6cddb5b",
    "metadata": {
     "editable": true
    },
@@ -640,7 +640,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "edc4fe47",
+   "id": "4a0ea4ff",
    "metadata": {
     "editable": true
    },
@@ -650,7 +650,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cae8f055",
+   "id": "714d5fd4",
    "metadata": {
     "editable": true
    },
@@ -662,7 +662,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cac6ff9f",
+   "id": "9963e08d",
    "metadata": {
     "editable": true
    },
@@ -676,7 +676,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50d4f5da",
+   "id": "6e256484",
    "metadata": {
     "editable": true
    },
@@ -688,7 +688,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "150da64e",
+   "id": "e85336f3",
    "metadata": {
     "editable": true
    },
@@ -700,7 +700,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95b20a47",
+   "id": "3443addc",
    "metadata": {
     "editable": true
    },
@@ -712,7 +712,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51b0e4e3",
+   "id": "090b5baa",
    "metadata": {
     "editable": true
    },
@@ -722,7 +722,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6e1d862",
+   "id": "ff67b428",
    "metadata": {
     "editable": true
    },
@@ -734,7 +734,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bad539c1",
+   "id": "881885dd",
    "metadata": {
     "editable": true
    },
@@ -746,7 +746,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a4f0d75",
+   "id": "1240d539",
    "metadata": {
     "editable": true
    },
@@ -758,7 +758,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a71b3c23",
+   "id": "331ad633",
    "metadata": {
     "editable": true
    },
@@ -772,7 +772,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88befc96",
+   "id": "a521aa39",
    "metadata": {
     "editable": true
    },
@@ -784,7 +784,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d3f17e84",
+   "id": "114aed6b",
    "metadata": {
     "editable": true
    },
@@ -796,7 +796,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "daccd41d",
+   "id": "ff8e2332",
    "metadata": {
     "editable": true
    },
@@ -808,7 +808,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "00b3204d",
+   "id": "9ec540cb",
    "metadata": {
     "editable": true
    },
@@ -818,7 +818,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8be5135b",
+   "id": "d791ae0d",
    "metadata": {
     "editable": true
    },
@@ -830,7 +830,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f573683",
+   "id": "533a1d14",
    "metadata": {
     "editable": true
    },
@@ -840,7 +840,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc6a156c",
+   "id": "0881c74d",
    "metadata": {
     "editable": true
    },
@@ -852,7 +852,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83c196bf",
+   "id": "22fd8012",
    "metadata": {
     "editable": true
    },
@@ -862,7 +862,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a350d475",
+   "id": "69d58d47",
    "metadata": {
     "editable": true
    },
@@ -874,7 +874,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b7eabaf",
+   "id": "d4cd670f",
    "metadata": {
     "editable": true
    },
@@ -886,7 +886,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90736966",
+   "id": "83be2125",
    "metadata": {
     "editable": true
    },
@@ -898,7 +898,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb9a16ec",
+   "id": "02f427be",
    "metadata": {
     "editable": true
    },
@@ -913,7 +913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52518d34",
+   "id": "25eccf6d",
    "metadata": {
     "editable": true
    },
@@ -925,7 +925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "139726b2",
+   "id": "11cc70c5",
    "metadata": {
     "editable": true
    },
@@ -935,7 +935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5684873d",
+   "id": "319aa4a2",
    "metadata": {
     "editable": true
    },
@@ -947,7 +947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "acfde1eb",
+   "id": "31aaf2ce",
    "metadata": {
     "editable": true
    },
@@ -957,7 +957,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db5a6f27",
+   "id": "0a3aec11",
    "metadata": {
     "editable": true
    },
@@ -969,7 +969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b343d82",
+   "id": "fbff7523",
    "metadata": {
     "editable": true
    },
@@ -979,7 +979,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c2f023d",
+   "id": "1e416580",
    "metadata": {
     "editable": true
    },
@@ -991,7 +991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c575a3d",
+   "id": "2beb6f3c",
    "metadata": {
     "editable": true
    },
@@ -1003,7 +1003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cdd12ae",
+   "id": "951de09f",
    "metadata": {
     "editable": true
    },
@@ -1015,7 +1015,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c747ecf",
+   "id": "f0cfd242",
    "metadata": {
     "editable": true
    },
@@ -1025,7 +1025,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1f1cac6",
+   "id": "a5f1d7d3",
    "metadata": {
     "editable": true
    },
@@ -1037,7 +1037,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38f0c38d",
+   "id": "eba03162",
    "metadata": {
     "editable": true
    },
@@ -1050,7 +1050,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e6e7a18",
+   "id": "f100cbe2",
    "metadata": {
     "editable": true
    },
@@ -1062,7 +1062,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d0a300bf",
+   "id": "f1bfc271",
    "metadata": {
     "editable": true
    },
@@ -1072,7 +1072,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8606b2f5",
+   "id": "eab9d415",
    "metadata": {
     "editable": true
    },
@@ -1084,7 +1084,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e808f42",
+   "id": "5a448795",
    "metadata": {
     "editable": true
    },
@@ -1094,7 +1094,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e60692f9",
+   "id": "b99d4e29",
    "metadata": {
     "editable": true
    },
@@ -1106,7 +1106,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "191a1403",
+   "id": "e2d4516c",
    "metadata": {
     "editable": true
    },
@@ -1116,7 +1116,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85a48dc2",
+   "id": "cb9eb155",
    "metadata": {
     "editable": true
    },
@@ -1128,7 +1128,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "322515bc",
+   "id": "790a0e95",
    "metadata": {
     "editable": true
    },
@@ -1138,7 +1138,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "07e78aa4",
+   "id": "13aa82ce",
    "metadata": {
     "editable": true
    },
@@ -1150,7 +1150,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55e68f23",
+   "id": "a103f682",
    "metadata": {
     "editable": true
    },
@@ -1160,7 +1160,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c4198d70",
+   "id": "ce7906c3",
    "metadata": {
     "editable": true
    },
@@ -1172,7 +1172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b7d6fda2",
+   "id": "da4e0b11",
    "metadata": {
     "editable": true
    },
@@ -1184,7 +1184,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f76130c7",
+   "id": "fed771e5",
    "metadata": {
     "editable": true
    },
@@ -1196,7 +1196,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1eda8311",
+   "id": "2facb9ef",
    "metadata": {
     "editable": true
    },
@@ -1208,7 +1208,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cbcfc4ac",
+   "id": "6f272a9f",
    "metadata": {
     "editable": true
    },
@@ -1220,7 +1220,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15f400be",
+   "id": "29d09098",
    "metadata": {
     "editable": true
    },
@@ -1236,7 +1236,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ea079a0",
+   "id": "a65ba3e7",
    "metadata": {
     "editable": true
    },
@@ -1248,7 +1248,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c55b7c42",
+   "id": "81f1235d",
    "metadata": {
     "editable": true
    },
@@ -1258,7 +1258,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74f1cbc2",
+   "id": "03fc983e",
    "metadata": {
     "editable": true
    },
@@ -1270,7 +1270,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "281c8820",
+   "id": "a977079e",
    "metadata": {
     "editable": true
    },
@@ -1288,7 +1288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf35f2b0",
+   "id": "f7a353e0",
    "metadata": {
     "editable": true
    },
@@ -1300,7 +1300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8db5ad71",
+   "id": "ea0cc191",
    "metadata": {
     "editable": true
    },
@@ -1312,7 +1312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f39e2160",
+   "id": "8ef639aa",
    "metadata": {
     "editable": true
    },
@@ -1322,7 +1322,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e4e4e8d",
+   "id": "2a440bb6",
    "metadata": {
     "editable": true
    },
@@ -1334,7 +1334,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0323a489",
+   "id": "434ec630",
    "metadata": {
     "editable": true
    },
@@ -1344,7 +1344,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10339395",
+   "id": "224d3db0",
    "metadata": {
     "editable": true
    },
@@ -1356,7 +1356,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b22fc31",
+   "id": "8454f8a5",
    "metadata": {
     "editable": true
    },
@@ -1366,7 +1366,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "494b1a28",
+   "id": "43669b68",
    "metadata": {
     "editable": true
    },
@@ -1380,7 +1380,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d20c96cf",
+   "id": "80645c26",
    "metadata": {
     "editable": true
    },
@@ -1392,7 +1392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f81444b",
+   "id": "fb545d6c",
    "metadata": {
     "editable": true
    },
@@ -1403,7 +1403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f81d6764",
+   "id": "e7262e81",
    "metadata": {
     "editable": true
    },
@@ -1416,7 +1416,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "83225daf",
+   "id": "d1fd9937",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1443,7 +1443,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f432b3ff",
+   "id": "c5423473",
    "metadata": {
     "editable": true
    },
@@ -1454,7 +1454,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "04b2ece5",
+   "id": "a34a7650",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1467,7 +1467,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8467ac97",
+   "id": "e218ee6a",
    "metadata": {
     "editable": true
    },
@@ -1481,7 +1481,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "fb24217a",
+   "id": "14933f25",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1494,7 +1494,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95050d99",
+   "id": "fd9a15cb",
    "metadata": {
     "editable": true
    },
@@ -1505,7 +1505,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7daecb54",
+   "id": "61a708f4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1515,7 +1515,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "0.9963202597920238\n"
+      "0.99541140030306\n"
      ]
     }
    ],
@@ -1525,7 +1525,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "616c641c",
+   "id": "5903bc37",
    "metadata": {
     "editable": true
    },
@@ -1536,7 +1536,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "ad94a295",
+   "id": "ee9b2868",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1546,7 +1546,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "0.008550594684081035\n"
+      "0.009710035292693498\n"
      ]
     }
    ],
@@ -1560,7 +1560,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afb8bdc0",
+   "id": "5b698b0f",
    "metadata": {
     "editable": true
    },
@@ -1571,7 +1571,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "d9382131",
+   "id": "57d4cd3a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1581,31 +1581,31 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[1.09846636e-02 2.39074222e-02 4.94861749e-03 4.55640387e-02\n",
-      " 1.31193395e-02 1.62470815e-03 2.46575843e-02 7.80638926e-02\n",
-      " 2.19677483e-02 3.99901131e-02 2.68626148e-03 3.97731700e-02\n",
-      " 4.79285683e-02 6.69363975e-02 1.02951554e-02 3.69826476e-02\n",
-      " 6.29115152e-03 8.12289498e-02 3.11909685e-03 7.77144798e-04\n",
-      " 8.15320771e-03 2.45720968e-02 5.12803365e-02 2.34378387e-02\n",
-      " 2.33645986e-02 1.17796101e-02 2.80344720e-02 8.92995253e-02\n",
-      " 1.24844778e-02 4.21582995e-02 1.89591553e-02 2.75357959e-02\n",
-      " 2.44906236e-02 1.84031027e-02 2.09739330e-02 5.70421972e-03\n",
-      " 2.55914617e-02 4.10427270e-02 6.55907387e-04 4.63734811e-03\n",
-      " 8.42882114e-03 1.00851638e-04 5.19264104e-02 1.94917559e-05\n",
-      " 6.96542994e-03 4.08924325e-03 4.08743287e-03 9.75853556e-03\n",
-      " 4.04075841e-02 2.70473799e-02 1.72199579e-02 4.24501973e-02\n",
-      " 7.08373167e-04 4.25201286e-02 5.69487891e-03 3.18217743e-03\n",
-      " 1.85979474e-02 4.82250097e-02 8.96735081e-02 5.53952664e-02\n",
-      " 5.51900727e-02 4.98842948e-03 1.30232456e-02 3.45220770e-02\n",
-      " 4.12394241e-02 1.46400080e-02 2.27932015e-02 1.16054190e-03\n",
-      " 1.53971260e-02 3.77533038e-02 8.53502096e-03 1.82404007e-02\n",
-      " 1.86014003e-02 2.93792215e-02 3.66950317e-02 2.15456415e-02\n",
-      " 2.21576737e-02 8.38730917e-03 2.98005862e-02 2.03932541e-03\n",
-      " 4.60083846e-03 7.02160095e-03 5.76598941e-03 9.56807589e-03\n",
-      " 3.49730046e-02 1.61899355e-02 1.47158029e-02 6.09404851e-04\n",
-      " 5.14724135e-03 3.92916438e-02 2.88352503e-02 5.61520194e-02\n",
-      " 4.33646268e-02 3.26506981e-03 1.51400374e-02 1.10235180e-02\n",
-      " 7.63332882e-03 2.93229640e-02 6.85071429e-03 2.29148545e-03]\n"
+      "[3.79190435e-03 8.55070893e-03 3.86058560e-02 3.45643708e-02\n",
+      " 1.28500583e-02 5.10712245e-02 1.17764878e-02 1.13687085e-02\n",
+      " 1.74592114e-02 1.33939645e-03 2.27552531e-02 2.28284417e-02\n",
+      " 5.61536670e-02 6.48783370e-03 1.69356940e-02 7.00289406e-02\n",
+      " 2.45571233e-02 5.79106527e-02 7.31138734e-02 4.08448544e-02\n",
+      " 6.91811160e-03 4.97200305e-02 2.45268835e-02 1.97467734e-02\n",
+      " 5.60268567e-03 9.32784259e-04 7.08066746e-03 3.19910037e-03\n",
+      " 3.26521761e-02 1.36227629e-02 2.26896710e-02 3.55936475e-04\n",
+      " 2.49887949e-02 2.39417707e-05 2.39614347e-03 4.07789772e-02\n",
+      " 2.71075825e-02 6.82771329e-04 9.78018374e-03 8.87532289e-03\n",
+      " 2.42190899e-02 2.79827506e-02 1.34852463e-02 2.10441496e-02\n",
+      " 2.51850390e-02 4.86387759e-02 7.96257580e-03 2.40828861e-02\n",
+      " 3.60164827e-02 1.21503438e-01 4.62451626e-02 2.73628359e-02\n",
+      " 5.69981939e-03 6.30984244e-02 2.51054961e-03 3.86597540e-02\n",
+      " 3.69313663e-02 9.77836133e-03 5.43007002e-02 8.49862065e-03\n",
+      " 9.34037032e-03 2.08910476e-02 2.52606351e-02 5.07087395e-03\n",
+      " 4.11276576e-02 3.72904541e-02 2.13618516e-02 1.98880065e-02\n",
+      " 3.82975422e-02 1.18603611e-02 1.05236797e-02 4.00183687e-02\n",
+      " 6.56447742e-03 2.50173752e-02 3.42790075e-02 1.52902847e-02\n",
+      " 4.92169784e-02 3.50733669e-02 8.97665553e-03 4.56542321e-02\n",
+      " 3.57807896e-02 4.65359027e-03 1.02430520e-02 1.09480900e-03\n",
+      " 2.99948754e-02 1.60056803e-02 9.14266332e-02 2.21171751e-02\n",
+      " 2.21266166e-02 2.39548035e-02 1.67236038e-02 2.92337385e-02\n",
+      " 5.68040392e-02 3.33819480e-02 1.59981487e-02 3.13006658e-02\n",
+      " 3.20098424e-02 6.45146007e-03 3.82092612e-03 2.25724702e-02]\n"
      ]
     }
    ],
@@ -1617,7 +1617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81a3e982",
+   "id": "c7a3aaba",
    "metadata": {
     "editable": true
    },
@@ -1638,7 +1638,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f58f6c21",
+   "id": "2eb3f93b",
    "metadata": {
     "editable": true
    },
@@ -1649,7 +1649,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "bb9a3b77",
+   "id": "cfeb8d48",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1659,15 +1659,15 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[ 1.90813514  0.65746064  4.09759873 -0.08945041  0.46023985]\n",
+      "[ 1.95079224  0.81447915  1.26265627  5.0771079  -2.04184782]\n",
       "Training R2\n",
-      "0.9965048209369255\n",
+      "0.9966080206050006\n",
       "Training MSE\n",
-      "0.008089688732934681\n",
+      "0.008334493024006613\n",
       "Test R2\n",
-      "0.9963525271588923\n",
+      "0.9954205504035075\n",
       "Test MSE\n",
-      "0.0072559952738542694\n"
+      "0.012501013881387798\n"
      ]
     }
    ],
@@ -1718,7 +1718,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c977c2ac",
+   "id": "df5c5eca",
    "metadata": {
     "editable": true
    },
@@ -1729,7 +1729,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "2676b30f",
+   "id": "2d04b51c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1754,7 +1754,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53eb00be",
+   "id": "f5a2b35a",
    "metadata": {
     "editable": true
    },
@@ -1766,7 +1766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "893ea33c",
+   "id": "89019840",
    "metadata": {
     "editable": true
    },
@@ -1795,7 +1795,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fcfef74e",
+   "id": "a795dfed",
    "metadata": {
     "editable": true
    },
@@ -1820,7 +1820,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40a6072e",
+   "id": "18341dc4",
    "metadata": {
     "editable": true
    },
@@ -1840,7 +1840,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6464d00e",
+   "id": "ae48eec9",
    "metadata": {
     "editable": true
    },
@@ -1867,7 +1867,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f69bee17",
+   "id": "c5187422",
    "metadata": {
     "editable": true
    },
@@ -1880,7 +1880,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae4d66ae",
+   "id": "3f2f8dff",
    "metadata": {
     "editable": true
    },
@@ -1892,7 +1892,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9a60e683",
+   "id": "d016aeaa",
    "metadata": {
     "editable": true
    },
@@ -1903,7 +1903,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45315f93",
+   "id": "cbd6bef4",
    "metadata": {
     "editable": true
    },
@@ -1919,7 +1919,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "7fe845e8",
+   "id": "a936912f",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2362,7 +2362,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "049d9edb",
+   "id": "b5c1678e",
    "metadata": {
     "editable": true
    },
@@ -2372,7 +2372,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e098f1e2",
+   "id": "c9a49c01",
    "metadata": {
     "editable": true
    },
@@ -2387,7 +2387,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afe0f097",
+   "id": "b195db22",
    "metadata": {
     "editable": true
    },
@@ -2399,7 +2399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c4c32c9",
+   "id": "9debef9c",
    "metadata": {
     "editable": true
    },
@@ -2409,7 +2409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e3af961",
+   "id": "8a997618",
    "metadata": {
     "editable": true
    },
@@ -2425,7 +2425,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "364363ed",
+   "id": "371c1d67",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2442,7 +2442,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f85005a3",
+   "id": "a0543264",
    "metadata": {
     "editable": true
    },
@@ -2455,7 +2455,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "47c9afad",
+   "id": "8c7a6aab",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2517,7 +2517,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d522b5b",
+   "id": "add34214",
    "metadata": {
     "editable": true
    },
@@ -2528,7 +2528,7 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "0aed60c8",
+   "id": "6419e441",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2664,7 +2664,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fa165453",
+   "id": "ef995ef5",
    "metadata": {
     "editable": true
    },
@@ -2692,7 +2692,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "734df471",
+   "id": "030d3c0c",
    "metadata": {
     "editable": true
    },
@@ -2727,7 +2727,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6bde2ec",
+   "id": "f43ff3f2",
    "metadata": {
     "editable": true
    },
@@ -2742,7 +2742,7 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "0e49b148",
+   "id": "f1048ea7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2767,7 +2767,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a4397707",
+   "id": "c2e96f53",
    "metadata": {
     "editable": true
    },
@@ -2783,7 +2783,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c113b92",
+   "id": "168771fe",
    "metadata": {
     "editable": true
    },
@@ -2795,7 +2795,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18d476bc",
+   "id": "2c3a048c",
    "metadata": {
     "editable": true
    },
@@ -2810,7 +2810,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3cf3b752",
+   "id": "1cf78358",
    "metadata": {
     "editable": true
    },
@@ -2822,7 +2822,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed2af561",
+   "id": "df497fb7",
    "metadata": {
     "editable": true
    },
@@ -2832,7 +2832,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b37a9e65",
+   "id": "a0ee7f44",
    "metadata": {
     "editable": true
    },
@@ -2844,7 +2844,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9775ea0",
+   "id": "117813ee",
    "metadata": {
     "editable": true
    },
@@ -2854,7 +2854,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cecd5fc2",
+   "id": "7fe3c928",
    "metadata": {
     "editable": true
    },
@@ -2866,7 +2866,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52fcc61e",
+   "id": "d9b0cadf",
    "metadata": {
     "editable": true
    },
@@ -2879,7 +2879,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "000d54d2",
+   "id": "d084b963",
    "metadata": {
     "editable": true
    },
@@ -2891,7 +2891,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0fed9be4",
+   "id": "9feed9c7",
    "metadata": {
     "editable": true
    },
@@ -2901,7 +2901,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c61aa7b",
+   "id": "7646db83",
    "metadata": {
     "editable": true
    },
@@ -2913,7 +2913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b390be2f",
+   "id": "70b04ee4",
    "metadata": {
     "editable": true
    },
@@ -2923,7 +2923,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aab8c64c",
+   "id": "fb98b594",
    "metadata": {
     "editable": true
    },
@@ -2935,7 +2935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "269cff24",
+   "id": "58b6bb60",
    "metadata": {
     "editable": true
    },
@@ -2945,7 +2945,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66e6ecf2",
+   "id": "8792e8b2",
    "metadata": {
     "editable": true
    },
@@ -2957,7 +2957,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33bddc5a",
+   "id": "fd1b7917",
    "metadata": {
     "editable": true
    },
@@ -2967,7 +2967,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e81b738",
+   "id": "9296d406",
    "metadata": {
     "editable": true
    },
@@ -2979,7 +2979,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b182f371",
+   "id": "49a369db",
    "metadata": {
     "editable": true
    },
@@ -2989,7 +2989,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97caf464",
+   "id": "6c1ff393",
    "metadata": {
     "editable": true
    },
@@ -3001,7 +3001,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d44cf34a",
+   "id": "05376dd3",
    "metadata": {
     "editable": true
    },
@@ -3011,7 +3011,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98301664",
+   "id": "9ffe05be",
    "metadata": {
     "editable": true
    },
@@ -3023,7 +3023,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c10a9495",
+   "id": "cf9c3ed2",
    "metadata": {
     "editable": true
    },
@@ -3035,7 +3035,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e55bc871",
+   "id": "4ad52b56",
    "metadata": {
     "editable": true
    },
@@ -3047,7 +3047,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6033356d",
+   "id": "fc7df605",
    "metadata": {
     "editable": true
    },
@@ -3060,7 +3060,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d064973a",
+   "id": "1ad271b5",
    "metadata": {
     "editable": true
    },
@@ -3072,7 +3072,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "21607d44",
+   "id": "a7661ef0",
    "metadata": {
     "editable": true
    },
@@ -3082,7 +3082,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55a9f200",
+   "id": "66a608d3",
    "metadata": {
     "editable": true
    },
@@ -3096,7 +3096,7 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "35f99de0",
+   "id": "5538e71a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3229,7 +3229,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5eb9aa4d",
+   "id": "940dadb6",
    "metadata": {
     "editable": true
    },
@@ -3250,7 +3250,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cbdc215",
+   "id": "a6b92ae4",
    "metadata": {
     "editable": true
    },
@@ -3262,7 +3262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a148d669",
+   "id": "e50ebc47",
    "metadata": {
     "editable": true
    },
@@ -3272,7 +3272,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a04efc28",
+   "id": "c10d8931",
    "metadata": {
     "editable": true
    },
@@ -3284,7 +3284,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d004f9af",
+   "id": "414a419a",
    "metadata": {
     "editable": true
    },
@@ -3294,7 +3294,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33d88186",
+   "id": "01dcee36",
    "metadata": {
     "editable": true
    },
@@ -3306,7 +3306,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79a0fcd6",
+   "id": "1460667a",
    "metadata": {
     "editable": true
    },
@@ -3322,7 +3322,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5276fcae",
+   "id": "85a29f10",
    "metadata": {
     "editable": true
    },
@@ -3366,7 +3366,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6071dd24",
+   "id": "6e1cbb1b",
    "metadata": {
     "editable": true
    },
@@ -3378,7 +3378,7 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "c878cffa",
+   "id": "1026aca4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3394,7 +3394,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ae29df1",
+   "id": "4299d593",
    "metadata": {
     "editable": true
    },
@@ -3405,7 +3405,7 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "0c27343f",
+   "id": "f417412e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3476,7 +3476,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd362de3",
+   "id": "6ced6323",
    "metadata": {
     "editable": true
    },
@@ -3487,7 +3487,7 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "1042f631",
+   "id": "f11aa076",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3501,7 +3501,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82185c81",
+   "id": "c20af331",
    "metadata": {
     "editable": true
    },
@@ -3512,7 +3512,7 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "dd4764d2",
+   "id": "c6c96c81",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3550,7 +3550,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b18d348",
+   "id": "f6fb45ce",
    "metadata": {
     "editable": true
    },
@@ -3561,7 +3561,7 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "ad218084",
+   "id": "6f00c28a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3601,7 +3601,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37596ce4",
+   "id": "0abc4366",
    "metadata": {
     "editable": true
    },
@@ -3612,7 +3612,7 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "c64afdcd",
+   "id": "933b907e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3653,7 +3653,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f74d7c0e",
+   "id": "21b8d81c",
    "metadata": {
     "editable": true
    },
@@ -3664,7 +3664,7 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "05f432c4",
+   "id": "dcec4712",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3703,7 +3703,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7eccf967",
+   "id": "e7347e92",
    "metadata": {
     "editable": true
    },
@@ -3714,7 +3714,7 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "e4e2ffd8",
+   "id": "3f276b40",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3727,7 +3727,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "df5c1bb8",
+   "id": "271b8bef",
    "metadata": {
     "editable": true
    },
@@ -3738,7 +3738,7 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "f5103c3e",
+   "id": "99c18370",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3769,7 +3769,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b03da257",
+   "id": "21407961",
    "metadata": {
     "editable": true
    },
@@ -3780,7 +3780,7 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "862a3613",
+   "id": "ee884183",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3840,7 +3840,7 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "28414bfe",
+   "id": "a95605df",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3870,7 +3870,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "423c5193",
+   "id": "c83dad54",
    "metadata": {
     "editable": true
    },
@@ -3880,7 +3880,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40134015",
+   "id": "e80c5346",
    "metadata": {
     "editable": true
    },
@@ -3894,7 +3894,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ea33726",
+   "id": "5bce901a",
    "metadata": {
     "editable": true
    },
@@ -3906,7 +3906,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b20e3c69",
+   "id": "99d8c33b",
    "metadata": {
     "editable": true
    },
@@ -3918,7 +3918,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "86928159",
+   "id": "b4c93930",
    "metadata": {
     "editable": true
    },
@@ -3930,7 +3930,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f876bba",
+   "id": "f9ece246",
    "metadata": {
     "editable": true
    },
@@ -3940,7 +3940,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a0f675e",
+   "id": "ebe402c7",
    "metadata": {
     "editable": true
    },
@@ -3952,7 +3952,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b09cb8c",
+   "id": "38dfce7b",
    "metadata": {
     "editable": true
    },
@@ -3962,7 +3962,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d734fd4",
+   "id": "42726abc",
    "metadata": {
     "editable": true
    },
@@ -3974,7 +3974,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7bd3f98e",
+   "id": "1c847fce",
    "metadata": {
     "editable": true
    },
@@ -3985,7 +3985,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37d9ae55",
+   "id": "ce34cf9c",
    "metadata": {
     "editable": true
    },
@@ -3997,7 +3997,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "457c49df",
+   "id": "01ce392c",
    "metadata": {
     "editable": true
    },
@@ -4009,7 +4009,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72cb8e53",
+   "id": "d2d128e9",
    "metadata": {
     "editable": true
    },
@@ -4019,7 +4019,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5a2f7bf",
+   "id": "e681b2fa",
    "metadata": {
     "editable": true
    },
@@ -4031,7 +4031,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c1d3ae9",
+   "id": "f3029e28",
    "metadata": {
     "editable": true
    },
@@ -4043,7 +4043,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbd16f90",
+   "id": "05e1d64d",
    "metadata": {
     "editable": true
    },
@@ -4053,7 +4053,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b112d398",
+   "id": "3266ac10",
    "metadata": {
     "editable": true
    },
@@ -4065,7 +4065,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "02cd55a7",
+   "id": "e918b318",
    "metadata": {
     "editable": true
    },
@@ -4075,7 +4075,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f91ca1c",
+   "id": "80b16165",
    "metadata": {
     "editable": true
    },
@@ -4087,7 +4087,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4c9a1014",
+   "id": "9c5be15b",
    "metadata": {
     "editable": true
    },
@@ -4097,7 +4097,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bbf65400",
+   "id": "ee9004d8",
    "metadata": {
     "editable": true
    },
@@ -4137,7 +4137,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e86aedda",
+   "id": "8f345ab7",
    "metadata": {
     "editable": true
    },
@@ -4154,7 +4154,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5607899f",
+   "id": "922f58d1",
    "metadata": {
     "editable": true
    },
@@ -4177,7 +4177,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee828c1a",
+   "id": "8dafc4c2",
    "metadata": {
     "editable": true
    },
@@ -4194,7 +4194,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8cf44f4b",
+   "id": "b4e09621",
    "metadata": {
     "editable": true
    },
@@ -4213,7 +4213,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41c01ec3",
+   "id": "137c6cf4",
    "metadata": {
     "editable": true
    },
@@ -4224,7 +4224,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2abae461",
+   "id": "dc25a406",
    "metadata": {
     "editable": true
    },
@@ -4236,7 +4236,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b9091ee",
+   "id": "900ce3c9",
    "metadata": {
     "editable": true
    },
@@ -4254,7 +4254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e9c2ef56",
+   "id": "b1afaf31",
    "metadata": {
     "editable": true
    },
@@ -4270,7 +4270,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f85233fa",
+   "id": "07b0ca44",
    "metadata": {
     "editable": true
    },
@@ -4282,7 +4282,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "61b8cabc",
+   "id": "22a680da",
    "metadata": {
     "editable": true
    },
@@ -4292,7 +4292,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b057486",
+   "id": "f509aae3",
    "metadata": {
     "editable": true
    },
@@ -4307,7 +4307,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6274419d",
+   "id": "e0c20dba",
    "metadata": {
     "editable": true
    },
@@ -4319,7 +4319,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "213c9ae6",
+   "id": "c8bb06b6",
    "metadata": {
     "editable": true
    },
@@ -4329,7 +4329,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6a9de3b7",
+   "id": "29ca64d1",
    "metadata": {
     "editable": true
    },
@@ -4341,7 +4341,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7ce3387",
+   "id": "af1e6533",
    "metadata": {
     "editable": true
    },
@@ -4351,7 +4351,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98ff9d86",
+   "id": "b0a6fa58",
    "metadata": {
     "editable": true
    },
@@ -4363,7 +4363,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b327be5",
+   "id": "eadb81a6",
    "metadata": {
     "editable": true
    },
@@ -4375,7 +4375,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c1a9126",
+   "id": "fccff518",
    "metadata": {
     "editable": true
    },
@@ -4390,7 +4390,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c92214f",
+   "id": "cac0aa1e",
    "metadata": {
     "editable": true
    },
@@ -4401,7 +4401,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "534f2e5f",
+   "id": "8dd99324",
    "metadata": {
     "editable": true
    },
@@ -4421,7 +4421,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b60adf4",
+   "id": "881a015f",
    "metadata": {
     "editable": true
    },
@@ -4433,7 +4433,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8a70724c",
+   "id": "ac543f7f",
    "metadata": {
     "editable": true
    },
@@ -4443,7 +4443,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "428c905b",
+   "id": "4b3b7360",
    "metadata": {
     "editable": true
    },
@@ -4455,7 +4455,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "874e40ee",
+   "id": "42df2f58",
    "metadata": {
     "editable": true
    },
@@ -4484,7 +4484,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35f9527c",
+   "id": "7154cacc",
    "metadata": {
     "editable": true
    },
@@ -4511,7 +4511,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fdd5aa47",
+   "id": "d6023971",
    "metadata": {
     "editable": true
    },
@@ -4522,7 +4522,7 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "01e4de19",
+   "id": "a89decec",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4584,7 +4584,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4de121b",
+   "id": "ba244752",
    "metadata": {
     "editable": true
    },
@@ -4601,7 +4601,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ca8d39b",
+   "id": "20d7027f",
    "metadata": {
     "editable": true
    },
@@ -4624,7 +4624,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdcff808",
+   "id": "f0a99200",
    "metadata": {
     "editable": true
    },
@@ -4638,7 +4638,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28074411",
+   "id": "b6dd3432",
    "metadata": {
     "editable": true
    },
@@ -4657,7 +4657,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ea2fc19",
+   "id": "c13a39c4",
    "metadata": {
     "editable": true
    },
@@ -4667,7 +4667,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1fee3ce",
+   "id": "2f25e533",
    "metadata": {
     "editable": true
    },
@@ -4679,7 +4679,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd762673",
+   "id": "bfcfb048",
    "metadata": {
     "editable": true
    },
@@ -4693,7 +4693,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f20cf9e9",
+   "id": "56838f49",
    "metadata": {
     "editable": true
    },
@@ -4705,7 +4705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85368feb",
+   "id": "cc22f743",
    "metadata": {
     "editable": true
    },
@@ -4715,7 +4715,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8770954",
+   "id": "eb5cf710",
    "metadata": {
     "editable": true
    },
@@ -4727,7 +4727,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a270875",
+   "id": "dc0695c6",
    "metadata": {
     "editable": true
    },
@@ -4744,7 +4744,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "680b5723",
+   "id": "13f4a1f2",
    "metadata": {
     "editable": true
    },
@@ -4754,7 +4754,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ccca506",
+   "id": "8cd7f951",
    "metadata": {
     "editable": true
    },
@@ -4770,7 +4770,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e79a5cc",
+   "id": "5e2da62c",
    "metadata": {
     "editable": true
    },
@@ -4780,7 +4780,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27b3b9fe",
+   "id": "3764dc21",
    "metadata": {
     "editable": true
    },
@@ -4796,7 +4796,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a351c847",
+   "id": "0c2a3cc3",
    "metadata": {
     "editable": true
    },
@@ -4806,7 +4806,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa000d05",
+   "id": "e26157fd",
    "metadata": {
     "editable": true
    },
@@ -4822,7 +4822,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d519658",
+   "id": "86faee8a",
    "metadata": {
     "editable": true
    },
@@ -4832,7 +4832,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0870c7af",
+   "id": "298ed70f",
    "metadata": {
     "editable": true
    },
@@ -4849,7 +4849,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "084c61ee",
+   "id": "82700ca9",
    "metadata": {
     "editable": true
    },
@@ -4861,7 +4861,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3d4ccfa",
+   "id": "0936050b",
    "metadata": {
     "editable": true
    },
@@ -4873,7 +4873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "59ba92d2",
+   "id": "5cf9c415",
    "metadata": {
     "editable": true
    },
@@ -4885,7 +4885,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5e2f754",
+   "id": "383df96d",
    "metadata": {
     "editable": true
    },
@@ -4895,7 +4895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cb23cb1",
+   "id": "61a360f0",
    "metadata": {
     "editable": true
    },
@@ -4907,7 +4907,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c3ffc6f",
+   "id": "0ae1f6d7",
    "metadata": {
     "editable": true
    },
@@ -4919,7 +4919,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "786439ab",
+   "id": "0377a098",
    "metadata": {
     "editable": true
    },
@@ -4931,7 +4931,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51d4bb29",
+   "id": "b8b7fadd",
    "metadata": {
     "editable": true
    },
@@ -4941,7 +4941,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79bdc7d5",
+   "id": "9b10c412",
    "metadata": {
     "editable": true
    },
@@ -4953,7 +4953,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a48d61d1",
+   "id": "4a8b1eae",
    "metadata": {
     "editable": true
    },
@@ -4963,7 +4963,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c8b52bf",
+   "id": "28eb8108",
    "metadata": {
     "editable": true
    },
@@ -4975,7 +4975,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d902463f",
+   "id": "7dfc4919",
    "metadata": {
     "editable": true
    },
@@ -4991,7 +4991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "955c3dda",
+   "id": "b0623f5e",
    "metadata": {
     "editable": true
    },
@@ -5003,7 +5003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af6d057f",
+   "id": "7c0a554d",
    "metadata": {
     "editable": true
    },
@@ -5015,7 +5015,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1200c060",
+   "id": "eb6957af",
    "metadata": {
     "editable": true
    },
@@ -5025,7 +5025,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18782e94",
+   "id": "cd8cdf7b",
    "metadata": {
     "editable": true
    },
@@ -5037,7 +5037,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f51193b6",
+   "id": "7479824a",
    "metadata": {
     "editable": true
    },
@@ -5048,7 +5048,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "293c5f44",
+   "id": "0f5e31a1",
    "metadata": {
     "editable": true
    },
@@ -5060,7 +5060,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e5cd6b1",
+   "id": "0154706c",
    "metadata": {
     "editable": true
    },
@@ -5070,7 +5070,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79a79025",
+   "id": "204300e7",
    "metadata": {
     "editable": true
    },
@@ -5082,7 +5082,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9bbddbf2",
+   "id": "0c286642",
    "metadata": {
     "editable": true
    },
@@ -5092,7 +5092,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a80c23e",
+   "id": "6e86269b",
    "metadata": {
     "editable": true
    },
@@ -5104,7 +5104,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5af565e",
+   "id": "0239d27b",
    "metadata": {
     "editable": true
    },
@@ -5115,7 +5115,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dd518e36",
+   "id": "d28c673d",
    "metadata": {
     "editable": true
    },
@@ -5127,7 +5127,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "082bcee9",
+   "id": "a46000f4",
    "metadata": {
     "editable": true
    },
@@ -5145,7 +5145,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdbc4fa9",
+   "id": "5af469fb",
    "metadata": {
     "editable": true
    },
@@ -5161,7 +5161,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33adf71a",
+   "id": "cbf850f2",
    "metadata": {
     "editable": true
    },
@@ -5173,7 +5173,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3794d9a9",
+   "id": "46754f34",
    "metadata": {
     "editable": true
    },
@@ -5185,7 +5185,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55e25f81",
+   "id": "912e6438",
    "metadata": {
     "editable": true
    },
@@ -5197,7 +5197,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47657755",
+   "id": "385e44a5",
    "metadata": {
     "editable": true
    },
@@ -5210,7 +5210,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bfdc6c11",
+   "id": "f7ea1538",
    "metadata": {
     "editable": true
    },
@@ -5226,7 +5226,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b10b21d6",
+   "id": "4871a670",
    "metadata": {
     "editable": true
    },
@@ -5240,7 +5240,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "127632f4",
+   "id": "096bfb4e",
    "metadata": {
     "editable": true
    },
@@ -5250,7 +5250,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ddd29440",
+   "id": "8bb5961a",
    "metadata": {
     "editable": true
    },
@@ -5262,7 +5262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f1426a9",
+   "id": "d5fc78b2",
    "metadata": {
     "editable": true
    },
@@ -5272,7 +5272,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8af09cbd",
+   "id": "8294b010",
    "metadata": {
     "editable": true
    },
@@ -5284,7 +5284,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbb24d4a",
+   "id": "0d740546",
    "metadata": {
     "editable": true
    },
@@ -5294,7 +5294,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "108264c8",
+   "id": "bfa7cec5",
    "metadata": {
     "editable": true
    },
@@ -5308,7 +5308,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1df71171",
+   "id": "bd250d44",
    "metadata": {
     "editable": true
    },
@@ -5325,7 +5325,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94f43fa7",
+   "id": "5c715a9c",
    "metadata": {
     "editable": true
    },
@@ -5341,7 +5341,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35a9e26e",
+   "id": "530e44f9",
    "metadata": {
     "editable": true
    },
@@ -5353,7 +5353,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "570d029f",
+   "id": "8963de47",
    "metadata": {
     "editable": true
    },
@@ -5366,7 +5366,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2920ebfe",
+   "id": "57dfa03b",
    "metadata": {
     "editable": true
    },
@@ -5380,7 +5380,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "508ef7cd",
+   "id": "03fee314",
    "metadata": {
     "editable": true
    },
@@ -5390,7 +5390,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47eaf212",
+   "id": "af46ee0c",
    "metadata": {
     "editable": true
    },
@@ -5403,7 +5403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c88297fa",
+   "id": "52cc3bc6",
    "metadata": {
     "editable": true
    },
@@ -5422,7 +5422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0eb1beac",
+   "id": "c3a0202f",
    "metadata": {
     "editable": true
    },
@@ -5434,7 +5434,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8055f42",
+   "id": "7b244f95",
    "metadata": {
     "editable": true
    },
@@ -5446,7 +5446,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18b7ca49",
+   "id": "664f60f6",
    "metadata": {
     "editable": true
    },
@@ -5456,7 +5456,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf084294",
+   "id": "790a3b58",
    "metadata": {
     "editable": true
    },
@@ -5468,7 +5468,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2d914bb",
+   "id": "9c9f2d45",
    "metadata": {
     "editable": true
    },
@@ -5481,7 +5481,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28d0307c",
+   "id": "faf5ab08",
    "metadata": {
     "editable": true
    },
@@ -5500,7 +5500,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1022b8b",
+   "id": "59ec07d7",
    "metadata": {
     "editable": true
    },
@@ -5510,7 +5510,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9813aced",
+   "id": "3013ec51",
    "metadata": {
     "editable": true
    },
@@ -5529,7 +5529,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "624e1592",
+   "id": "09868daf",
    "metadata": {
     "editable": true
    },
@@ -5547,7 +5547,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e69238f",
+   "id": "f4ad3314",
    "metadata": {
     "editable": true
    },
@@ -5561,7 +5561,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1adcab4e",
+   "id": "bea84db1",
    "metadata": {
     "editable": true
    },
@@ -5576,7 +5576,7 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "d7a3937b",
+   "id": "7406b721",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5608,7 +5608,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7668b290",
+   "id": "e62a10c6",
    "metadata": {
     "editable": true
    },
@@ -5625,7 +5625,7 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "22a46238",
+   "id": "e99810d7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5668,7 +5668,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d60df16",
+   "id": "b6753d67",
    "metadata": {
     "editable": true
    },
@@ -5682,7 +5682,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cce022a",
+   "id": "d7e5de4d",
    "metadata": {
     "editable": true
    },
@@ -5695,7 +5695,7 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "ce383181",
+   "id": "b88ed80b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5751,7 +5751,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5af761f5",
+   "id": "97b688c8",
    "metadata": {
     "editable": true
    },
@@ -5761,7 +5761,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "43c34a93",
+   "id": "bda65277",
    "metadata": {
     "editable": true
    },
@@ -5772,7 +5772,7 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "98ae9abd",
+   "id": "9a2f0b3a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5866,7 +5866,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55b95089",
+   "id": "36f0b362",
    "metadata": {
     "editable": true
    },
@@ -5883,7 +5883,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "58edec27",
+   "id": "9cc9395a",
    "metadata": {
     "editable": true
    },
@@ -5895,7 +5895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91cf5408",
+   "id": "2cb29d31",
    "metadata": {
     "editable": true
    },
@@ -5907,7 +5907,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9628d939",
+   "id": "37266bbd",
    "metadata": {
     "editable": true
    },
@@ -5917,7 +5917,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d408e7f5",
+   "id": "fd11309e",
    "metadata": {
     "editable": true
    },
@@ -5934,7 +5934,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1266b478",
+   "id": "5dd9ff49",
    "metadata": {
     "editable": true
    },
@@ -5944,7 +5944,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e22633d5",
+   "id": "10932a11",
    "metadata": {
     "editable": true
    },
@@ -5959,7 +5959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "594fba0d",
+   "id": "87223b22",
    "metadata": {
     "editable": true
    },
@@ -5969,7 +5969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d70023fd",
+   "id": "b62507a6",
    "metadata": {
     "editable": true
    },
@@ -5983,7 +5983,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52dc44dd",
+   "id": "b55725a2",
    "metadata": {
     "editable": true
    },
@@ -5995,7 +5995,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2668fc5",
+   "id": "cad5ecee",
    "metadata": {
     "editable": true
    },
@@ -6007,7 +6007,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "abcb6d33",
+   "id": "e9c5b7ad",
    "metadata": {
     "editable": true
    },
@@ -6019,7 +6019,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a224487f",
+   "id": "adf41d77",
    "metadata": {
     "editable": true
    },
@@ -6029,7 +6029,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d2e0786",
+   "id": "c7c61baf",
    "metadata": {
     "editable": true
    },
@@ -6041,7 +6041,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1175c0c5",
+   "id": "e7b1cec7",
    "metadata": {
     "editable": true
    },
@@ -6051,7 +6051,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bbfe6895",
+   "id": "2ba7eb4a",
    "metadata": {
     "editable": true
    },
@@ -6068,7 +6068,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e1fd41d",
+   "id": "68bed668",
    "metadata": {
     "editable": true
    },
@@ -6078,7 +6078,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ac7e61a",
+   "id": "9e799242",
    "metadata": {
     "editable": true
    },
@@ -6090,7 +6090,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "779f099c",
+   "id": "bd113755",
    "metadata": {
     "editable": true
    },
@@ -6100,7 +6100,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fe58de11",
+   "id": "0ac63d25",
    "metadata": {
     "editable": true
    },
@@ -6112,7 +6112,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6f9244dc",
+   "id": "06a3a6a0",
    "metadata": {
     "editable": true
    },
@@ -6126,7 +6126,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0dc4a97b",
+   "id": "c4207b8e",
    "metadata": {
     "editable": true
    },
@@ -6138,7 +6138,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c85e169b",
+   "id": "ecc01bf4",
    "metadata": {
     "editable": true
    },
@@ -6152,7 +6152,7 @@
     "encode from the columns of $\\boldsymbol{X}$. \n",
     "\n",
     "Note that these are also the eigenvectors and eigenvalues of the\n",
-    "Hessian matrix.\n",
+    "Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.\n",
     "\n",
     "If we now recall the definition of the covariance matrix (not using\n",
     "Bessel's correction) we have"
@@ -6160,7 +6160,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d9c670c9",
+   "id": "762ad728",
    "metadata": {
     "editable": true
    },
@@ -6172,7 +6172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "19f3422e",
+   "id": "07987964",
    "metadata": {
     "editable": true
    },
@@ -6187,7 +6187,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73ba196c",
+   "id": "f2a7f704",
    "metadata": {
     "editable": true
    },
@@ -6199,7 +6199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e045ed0",
+   "id": "aa2f5f3b",
    "metadata": {
     "editable": true
    },
@@ -6211,7 +6211,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73a040c2",
+   "id": "f35a10a9",
    "metadata": {
     "editable": true
    },
@@ -6221,7 +6221,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad598099",
+   "id": "cf2795e3",
    "metadata": {
     "editable": true
    },
@@ -6233,7 +6233,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72c59cf8",
+   "id": "3d5180ae",
    "metadata": {
     "editable": true
    },
@@ -6243,7 +6243,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d3ea89e",
+   "id": "d39a992a",
    "metadata": {
     "editable": true
    },
@@ -6255,7 +6255,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7180582d",
+   "id": "7167d57e",
    "metadata": {
     "editable": true
    },
@@ -6265,7 +6265,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9993e038",
+   "id": "c5c07ca6",
    "metadata": {
     "editable": true
    },
@@ -6277,7 +6277,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb3035aa",
+   "id": "ffd917e2",
    "metadata": {
     "editable": true
    },
@@ -6294,7 +6294,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a561bcdb",
+   "id": "99d25bf3",
    "metadata": {
     "editable": true
    },
@@ -6307,7 +6307,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "268ae34a",
+   "id": "70a97a49",
    "metadata": {
     "editable": true
    },
@@ -6319,7 +6319,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc03d5dc",
+   "id": "acad4821",
    "metadata": {
     "editable": true
    },
@@ -6329,7 +6329,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ea893df",
+   "id": "7c7245b1",
    "metadata": {
     "editable": true
    },
@@ -6342,7 +6342,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ef4a051",
+   "id": "4d48256d",
    "metadata": {
     "editable": true
    },
@@ -6352,7 +6352,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e250ee2f",
+   "id": "b97689ae",
    "metadata": {
     "editable": true
    },
@@ -6364,7 +6364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac02490b",
+   "id": "a1e6d358",
    "metadata": {
     "editable": true
    },
@@ -6377,7 +6377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aeb823e8",
+   "id": "23c512d5",
    "metadata": {
     "editable": true
    },
@@ -6390,7 +6390,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "185ff85c",
+   "id": "9da70468",
    "metadata": {
     "editable": true
    },
@@ -6402,7 +6402,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1419c4ca",
+   "id": "741726c2",
    "metadata": {
     "editable": true
    },
@@ -6414,7 +6414,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9773136b",
+   "id": "a44d203e",
    "metadata": {
     "editable": true
    },
@@ -6424,7 +6424,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8b694dc",
+   "id": "09bbc4ac",
    "metadata": {
     "editable": true
    },
@@ -6437,7 +6437,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88371d47",
+   "id": "37cb206c",
    "metadata": {
     "editable": true
    },
@@ -6449,7 +6449,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "171b5be4",
+   "id": "87fe1756",
    "metadata": {
     "editable": true
    },
@@ -6461,7 +6461,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e835b14",
+   "id": "44fc5198",
    "metadata": {
     "editable": true
    },
@@ -6473,7 +6473,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17531870",
+   "id": "b0fa981e",
    "metadata": {
     "editable": true
    },
@@ -6485,7 +6485,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e3ef48e",
+   "id": "80231e43",
    "metadata": {
     "editable": true
    },
@@ -6499,7 +6499,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66166180",
+   "id": "15e51237",
    "metadata": {
     "editable": true
    },
@@ -6511,7 +6511,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a58eac00",
+   "id": "dd75aca5",
    "metadata": {
     "editable": true
    },
@@ -6521,7 +6521,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27eed264",
+   "id": "9cb2ef33",
    "metadata": {
     "editable": true
    },
@@ -6533,7 +6533,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dde3eff1",
+   "id": "fad95084",
    "metadata": {
     "editable": true
    },
@@ -6545,7 +6545,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc32ef71",
+   "id": "230a6ff7",
    "metadata": {
     "editable": true
    },
@@ -6557,7 +6557,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f71d1884",
+   "id": "85a1a5d1",
    "metadata": {
     "editable": true
    },
@@ -6569,7 +6569,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a461218a",
+   "id": "ff8d6799",
    "metadata": {
     "editable": true
    },
@@ -6581,7 +6581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "417dd2f5",
+   "id": "827e177b",
    "metadata": {
     "editable": true
    },
@@ -6600,7 +6600,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb40cac4",
+   "id": "aca28922",
    "metadata": {
     "editable": true
    },
@@ -6612,7 +6612,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0220204c",
+   "id": "e08ee7a5",
    "metadata": {
     "editable": true
    },
@@ -6622,7 +6622,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5f1bd6c9",
+   "id": "5f5b2dc5",
    "metadata": {
     "editable": true
    },
@@ -6634,7 +6634,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17072bfc",
+   "id": "d5030a07",
    "metadata": {
     "editable": true
    },
@@ -6644,7 +6644,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c11fad3",
+   "id": "3b4a0fce",
    "metadata": {
     "editable": true
    },
@@ -6656,7 +6656,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c609b962",
+   "id": "67619670",
    "metadata": {
     "editable": true
    },
@@ -6668,7 +6668,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9795acef",
+   "id": "a0188c70",
    "metadata": {
     "editable": true
    },
@@ -6684,7 +6684,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2219ef4",
+   "id": "2b542ab9",
    "metadata": {
     "editable": true
    },
@@ -6696,7 +6696,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db852bdc",
+   "id": "c27c8f59",
    "metadata": {
     "editable": true
    },
@@ -6708,7 +6708,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7af957bf",
+   "id": "2b68e82e",
    "metadata": {
     "editable": true
    },
@@ -6718,7 +6718,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3b9a6dcb",
+   "id": "af6db7ba",
    "metadata": {
     "editable": true
    },
@@ -6730,7 +6730,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fe99d76",
+   "id": "69a927de",
    "metadata": {
     "editable": true
    },
@@ -6740,7 +6740,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95c258e2",
+   "id": "f9362946",
    "metadata": {
     "editable": true
    },
@@ -6752,7 +6752,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "61e1baef",
+   "id": "1999617c",
    "metadata": {
     "editable": true
    },
@@ -6769,7 +6769,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "706bad69",
+   "id": "05da6504",
    "metadata": {
     "editable": true
    },
@@ -6781,7 +6781,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff63d81f",
+   "id": "bf894d8e",
    "metadata": {
     "editable": true
    },
@@ -6793,7 +6793,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66436c5d",
+   "id": "b0e2eb07",
    "metadata": {
     "editable": true
    },
@@ -6803,7 +6803,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bb26a2e",
+   "id": "b4b83749",
    "metadata": {
     "editable": true
    },
@@ -6815,7 +6815,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "87a71dc0",
+   "id": "f335a39d",
    "metadata": {
     "editable": true
    },
@@ -6825,7 +6825,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a9ef08dc",
+   "id": "47a66a91",
    "metadata": {
     "editable": true
    },
@@ -6837,7 +6837,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8ebfe39",
+   "id": "f6132801",
    "metadata": {
     "editable": true
    },
@@ -6847,7 +6847,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3acea6b",
+   "id": "61e7e5b8",
    "metadata": {
     "editable": true
    },
@@ -6859,7 +6859,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "24f8649f",
+   "id": "9f52d6a6",
    "metadata": {
     "editable": true
    },
@@ -6869,7 +6869,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2af184ea",
+   "id": "c4f8cae2",
    "metadata": {
     "editable": true
    },
@@ -6881,7 +6881,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "257f939f",
+   "id": "00e45c65",
    "metadata": {
     "editable": true
    },
diff --git a/doc/LectureNotes/_build/jupyter_execute/week35.py b/doc/LectureNotes/_build/jupyter_execute/week35.py
index 69574e2a1..abb4dfe04 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week35.py
+++ b/doc/LectureNotes/_build/jupyter_execute/week35.py
@@ -2392,7 +2392,7 @@ print(covariance_matrix)
 # encode from the columns of $\boldsymbol{X}$. 
 # 
 # Note that these are also the eigenvectors and eigenvalues of the
-# Hessian matrix.
+# Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.
 # 
 # If we now recall the definition of the covariance matrix (not using
 # Bessel's correction) we have
diff --git a/doc/LectureNotes/week35.ipynb b/doc/LectureNotes/week35.ipynb
index acce5416d..d19cfb003 100644
--- a/doc/LectureNotes/week35.ipynb
+++ b/doc/LectureNotes/week35.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "0babeebd",
+   "id": "e0ac9f47",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97c00fa1",
+   "id": "20d0da53",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4a3ef03",
+   "id": "22448e3d",
    "metadata": {
     "editable": true
    },
@@ -49,7 +49,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cce1437b",
+   "id": "3a79d77d",
    "metadata": {
     "editable": true
    },
@@ -65,7 +65,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52737d8a",
+   "id": "ae5da086",
    "metadata": {
     "editable": true
    },
@@ -99,7 +99,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "671d6e88",
+   "id": "9f1bacbf",
    "metadata": {
     "editable": true
    },
@@ -115,7 +115,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff12276e",
+   "id": "65cc3dd0",
    "metadata": {
     "editable": true
    },
@@ -127,7 +127,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "047c45e4",
+   "id": "9817bfd1",
    "metadata": {
     "editable": true
    },
@@ -137,7 +137,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "429101eb",
+   "id": "f8aad43a",
    "metadata": {
     "editable": true
    },
@@ -149,7 +149,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5e3146c",
+   "id": "e3d82d66",
    "metadata": {
     "editable": true
    },
@@ -170,7 +170,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7dbe051b",
+   "id": "8f723842",
    "metadata": {
     "editable": true
    },
@@ -182,7 +182,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4fc0ccc9",
+   "id": "bc1bd2ac",
    "metadata": {
     "editable": true
    },
@@ -195,7 +195,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b74ac188",
+   "id": "fd86d13e",
    "metadata": {
     "editable": true
    },
@@ -207,7 +207,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3dd89363",
+   "id": "9e4182c0",
    "metadata": {
     "editable": true
    },
@@ -219,7 +219,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9c8ee6d",
+   "id": "98d9bd56",
    "metadata": {
     "editable": true
    },
@@ -229,7 +229,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1a7d81e",
+   "id": "d4a31a4c",
    "metadata": {
     "editable": true
    },
@@ -241,7 +241,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e470402",
+   "id": "cc31ead7",
    "metadata": {
     "editable": true
    },
@@ -254,7 +254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de2d1c2e",
+   "id": "cbd1baab",
    "metadata": {
     "editable": true
    },
@@ -266,7 +266,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f2c6a27",
+   "id": "e0562917",
    "metadata": {
     "editable": true
    },
@@ -276,7 +276,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2a53c69",
+   "id": "cc542ad8",
    "metadata": {
     "editable": true
    },
@@ -288,7 +288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e6be165",
+   "id": "fb4287eb",
    "metadata": {
     "editable": true
    },
@@ -300,7 +300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e1aa69e",
+   "id": "91c1c4e2",
    "metadata": {
     "editable": true
    },
@@ -311,7 +311,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6808670",
+   "id": "db1b66ea",
    "metadata": {
     "editable": true
    },
@@ -323,7 +323,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1681f8b5",
+   "id": "4716bdab",
    "metadata": {
     "editable": true
    },
@@ -342,7 +342,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "079581c8",
+   "id": "e9833b82",
    "metadata": {
     "editable": true
    },
@@ -355,7 +355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2d8bbbe",
+   "id": "3492b7ee",
    "metadata": {
     "editable": true
    },
@@ -365,7 +365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6f6fa32",
+   "id": "d2c35465",
    "metadata": {
     "editable": true
    },
@@ -377,7 +377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c40e93cb",
+   "id": "1f18e09c",
    "metadata": {
     "editable": true
    },
@@ -387,7 +387,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "817e6b7e",
+   "id": "e740df2b",
    "metadata": {
     "editable": true
    },
@@ -399,7 +399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e81cba3",
+   "id": "529cdc4c",
    "metadata": {
     "editable": true
    },
@@ -409,7 +409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f444a6f6",
+   "id": "d46fdfa6",
    "metadata": {
     "editable": true
    },
@@ -421,7 +421,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0a4d2f3",
+   "id": "d7e2a6c8",
    "metadata": {
     "editable": true
    },
@@ -432,7 +432,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b4fb52ac",
+   "id": "e210bf52",
    "metadata": {
     "editable": true
    },
@@ -444,7 +444,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "625eedb8",
+   "id": "5f1a1000",
    "metadata": {
     "editable": true
    },
@@ -454,7 +454,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4860d6a",
+   "id": "79f3a458",
    "metadata": {
     "editable": true
    },
@@ -466,7 +466,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3dbaea0",
+   "id": "0e7cf91b",
    "metadata": {
     "editable": true
    },
@@ -476,7 +476,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12a58017",
+   "id": "6c3736f3",
    "metadata": {
     "editable": true
    },
@@ -488,7 +488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e01c27e",
+   "id": "6b2f9416",
    "metadata": {
     "editable": true
    },
@@ -508,7 +508,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a674207",
+   "id": "702f5c24",
    "metadata": {
     "editable": true
    },
@@ -535,7 +535,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "32d78057",
+   "id": "43ab73e6",
    "metadata": {
     "editable": true
    },
@@ -547,7 +547,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b05fa6a7",
+   "id": "82078c10",
    "metadata": {
     "editable": true
    },
@@ -559,7 +559,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5d01c3c2",
+   "id": "4a024a84",
    "metadata": {
     "editable": true
    },
@@ -575,7 +575,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f6abac54",
+   "id": "a87fdfb1",
    "metadata": {
     "editable": true
    },
@@ -593,7 +593,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83090779",
+   "id": "78689f85",
    "metadata": {
     "editable": true
    },
@@ -605,7 +605,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af17b7d4",
+   "id": "6c9f7030",
    "metadata": {
     "editable": true
    },
@@ -617,7 +617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c67fb280",
+   "id": "2bacebe3",
    "metadata": {
     "editable": true
    },
@@ -628,7 +628,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3289be1",
+   "id": "e6cddb5b",
    "metadata": {
     "editable": true
    },
@@ -640,7 +640,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "edc4fe47",
+   "id": "4a0ea4ff",
    "metadata": {
     "editable": true
    },
@@ -650,7 +650,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cae8f055",
+   "id": "714d5fd4",
    "metadata": {
     "editable": true
    },
@@ -662,7 +662,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cac6ff9f",
+   "id": "9963e08d",
    "metadata": {
     "editable": true
    },
@@ -676,7 +676,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50d4f5da",
+   "id": "6e256484",
    "metadata": {
     "editable": true
    },
@@ -688,7 +688,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "150da64e",
+   "id": "e85336f3",
    "metadata": {
     "editable": true
    },
@@ -700,7 +700,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95b20a47",
+   "id": "3443addc",
    "metadata": {
     "editable": true
    },
@@ -712,7 +712,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51b0e4e3",
+   "id": "090b5baa",
    "metadata": {
     "editable": true
    },
@@ -722,7 +722,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6e1d862",
+   "id": "ff67b428",
    "metadata": {
     "editable": true
    },
@@ -734,7 +734,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bad539c1",
+   "id": "881885dd",
    "metadata": {
     "editable": true
    },
@@ -746,7 +746,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a4f0d75",
+   "id": "1240d539",
    "metadata": {
     "editable": true
    },
@@ -758,7 +758,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a71b3c23",
+   "id": "331ad633",
    "metadata": {
     "editable": true
    },
@@ -772,7 +772,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88befc96",
+   "id": "a521aa39",
    "metadata": {
     "editable": true
    },
@@ -784,7 +784,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d3f17e84",
+   "id": "114aed6b",
    "metadata": {
     "editable": true
    },
@@ -796,7 +796,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "daccd41d",
+   "id": "ff8e2332",
    "metadata": {
     "editable": true
    },
@@ -808,7 +808,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "00b3204d",
+   "id": "9ec540cb",
    "metadata": {
     "editable": true
    },
@@ -818,7 +818,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8be5135b",
+   "id": "d791ae0d",
    "metadata": {
     "editable": true
    },
@@ -830,7 +830,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f573683",
+   "id": "533a1d14",
    "metadata": {
     "editable": true
    },
@@ -840,7 +840,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc6a156c",
+   "id": "0881c74d",
    "metadata": {
     "editable": true
    },
@@ -852,7 +852,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83c196bf",
+   "id": "22fd8012",
    "metadata": {
     "editable": true
    },
@@ -862,7 +862,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a350d475",
+   "id": "69d58d47",
    "metadata": {
     "editable": true
    },
@@ -874,7 +874,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b7eabaf",
+   "id": "d4cd670f",
    "metadata": {
     "editable": true
    },
@@ -886,7 +886,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90736966",
+   "id": "83be2125",
    "metadata": {
     "editable": true
    },
@@ -898,7 +898,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb9a16ec",
+   "id": "02f427be",
    "metadata": {
     "editable": true
    },
@@ -913,7 +913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52518d34",
+   "id": "25eccf6d",
    "metadata": {
     "editable": true
    },
@@ -925,7 +925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "139726b2",
+   "id": "11cc70c5",
    "metadata": {
     "editable": true
    },
@@ -935,7 +935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5684873d",
+   "id": "319aa4a2",
    "metadata": {
     "editable": true
    },
@@ -947,7 +947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "acfde1eb",
+   "id": "31aaf2ce",
    "metadata": {
     "editable": true
    },
@@ -957,7 +957,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db5a6f27",
+   "id": "0a3aec11",
    "metadata": {
     "editable": true
    },
@@ -969,7 +969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b343d82",
+   "id": "fbff7523",
    "metadata": {
     "editable": true
    },
@@ -979,7 +979,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c2f023d",
+   "id": "1e416580",
    "metadata": {
     "editable": true
    },
@@ -991,7 +991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c575a3d",
+   "id": "2beb6f3c",
    "metadata": {
     "editable": true
    },
@@ -1003,7 +1003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cdd12ae",
+   "id": "951de09f",
    "metadata": {
     "editable": true
    },
@@ -1015,7 +1015,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c747ecf",
+   "id": "f0cfd242",
    "metadata": {
     "editable": true
    },
@@ -1025,7 +1025,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1f1cac6",
+   "id": "a5f1d7d3",
    "metadata": {
     "editable": true
    },
@@ -1037,7 +1037,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38f0c38d",
+   "id": "eba03162",
    "metadata": {
     "editable": true
    },
@@ -1050,7 +1050,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e6e7a18",
+   "id": "f100cbe2",
    "metadata": {
     "editable": true
    },
@@ -1062,7 +1062,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d0a300bf",
+   "id": "f1bfc271",
    "metadata": {
     "editable": true
    },
@@ -1072,7 +1072,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8606b2f5",
+   "id": "eab9d415",
    "metadata": {
     "editable": true
    },
@@ -1084,7 +1084,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e808f42",
+   "id": "5a448795",
    "metadata": {
     "editable": true
    },
@@ -1094,7 +1094,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e60692f9",
+   "id": "b99d4e29",
    "metadata": {
     "editable": true
    },
@@ -1106,7 +1106,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "191a1403",
+   "id": "e2d4516c",
    "metadata": {
     "editable": true
    },
@@ -1116,7 +1116,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85a48dc2",
+   "id": "cb9eb155",
    "metadata": {
     "editable": true
    },
@@ -1128,7 +1128,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "322515bc",
+   "id": "790a0e95",
    "metadata": {
     "editable": true
    },
@@ -1138,7 +1138,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "07e78aa4",
+   "id": "13aa82ce",
    "metadata": {
     "editable": true
    },
@@ -1150,7 +1150,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55e68f23",
+   "id": "a103f682",
    "metadata": {
     "editable": true
    },
@@ -1160,7 +1160,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c4198d70",
+   "id": "ce7906c3",
    "metadata": {
     "editable": true
    },
@@ -1172,7 +1172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b7d6fda2",
+   "id": "da4e0b11",
    "metadata": {
     "editable": true
    },
@@ -1184,7 +1184,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f76130c7",
+   "id": "fed771e5",
    "metadata": {
     "editable": true
    },
@@ -1196,7 +1196,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1eda8311",
+   "id": "2facb9ef",
    "metadata": {
     "editable": true
    },
@@ -1208,7 +1208,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cbcfc4ac",
+   "id": "6f272a9f",
    "metadata": {
     "editable": true
    },
@@ -1220,7 +1220,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15f400be",
+   "id": "29d09098",
    "metadata": {
     "editable": true
    },
@@ -1236,7 +1236,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ea079a0",
+   "id": "a65ba3e7",
    "metadata": {
     "editable": true
    },
@@ -1248,7 +1248,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c55b7c42",
+   "id": "81f1235d",
    "metadata": {
     "editable": true
    },
@@ -1258,7 +1258,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74f1cbc2",
+   "id": "03fc983e",
    "metadata": {
     "editable": true
    },
@@ -1270,7 +1270,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "281c8820",
+   "id": "a977079e",
    "metadata": {
     "editable": true
    },
@@ -1288,7 +1288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf35f2b0",
+   "id": "f7a353e0",
    "metadata": {
     "editable": true
    },
@@ -1300,7 +1300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8db5ad71",
+   "id": "ea0cc191",
    "metadata": {
     "editable": true
    },
@@ -1312,7 +1312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f39e2160",
+   "id": "8ef639aa",
    "metadata": {
     "editable": true
    },
@@ -1322,7 +1322,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e4e4e8d",
+   "id": "2a440bb6",
    "metadata": {
     "editable": true
    },
@@ -1334,7 +1334,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0323a489",
+   "id": "434ec630",
    "metadata": {
     "editable": true
    },
@@ -1344,7 +1344,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10339395",
+   "id": "224d3db0",
    "metadata": {
     "editable": true
    },
@@ -1356,7 +1356,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b22fc31",
+   "id": "8454f8a5",
    "metadata": {
     "editable": true
    },
@@ -1366,7 +1366,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "494b1a28",
+   "id": "43669b68",
    "metadata": {
     "editable": true
    },
@@ -1380,7 +1380,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d20c96cf",
+   "id": "80645c26",
    "metadata": {
     "editable": true
    },
@@ -1392,7 +1392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f81444b",
+   "id": "fb545d6c",
    "metadata": {
     "editable": true
    },
@@ -1403,7 +1403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f81d6764",
+   "id": "e7262e81",
    "metadata": {
     "editable": true
    },
@@ -1416,7 +1416,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "83225daf",
+   "id": "d1fd9937",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1443,7 +1443,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f432b3ff",
+   "id": "c5423473",
    "metadata": {
     "editable": true
    },
@@ -1454,7 +1454,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "04b2ece5",
+   "id": "a34a7650",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1467,7 +1467,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8467ac97",
+   "id": "e218ee6a",
    "metadata": {
     "editable": true
    },
@@ -1481,7 +1481,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "fb24217a",
+   "id": "14933f25",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1494,7 +1494,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95050d99",
+   "id": "fd9a15cb",
    "metadata": {
     "editable": true
    },
@@ -1505,7 +1505,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7daecb54",
+   "id": "61a708f4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1517,7 +1517,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "616c641c",
+   "id": "5903bc37",
    "metadata": {
     "editable": true
    },
@@ -1528,7 +1528,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "ad94a295",
+   "id": "ee9b2868",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1544,7 +1544,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afb8bdc0",
+   "id": "5b698b0f",
    "metadata": {
     "editable": true
    },
@@ -1555,7 +1555,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "d9382131",
+   "id": "57d4cd3a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1569,7 +1569,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81a3e982",
+   "id": "c7a3aaba",
    "metadata": {
     "editable": true
    },
@@ -1590,7 +1590,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f58f6c21",
+   "id": "2eb3f93b",
    "metadata": {
     "editable": true
    },
@@ -1601,7 +1601,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "bb9a3b77",
+   "id": "cfeb8d48",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1654,7 +1654,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c977c2ac",
+   "id": "df5c5eca",
    "metadata": {
     "editable": true
    },
@@ -1665,7 +1665,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "2676b30f",
+   "id": "2d04b51c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1690,7 +1690,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53eb00be",
+   "id": "f5a2b35a",
    "metadata": {
     "editable": true
    },
@@ -1702,7 +1702,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "893ea33c",
+   "id": "89019840",
    "metadata": {
     "editable": true
    },
@@ -1731,7 +1731,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fcfef74e",
+   "id": "a795dfed",
    "metadata": {
     "editable": true
    },
@@ -1756,7 +1756,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40a6072e",
+   "id": "18341dc4",
    "metadata": {
     "editable": true
    },
@@ -1776,7 +1776,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6464d00e",
+   "id": "ae48eec9",
    "metadata": {
     "editable": true
    },
@@ -1803,7 +1803,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f69bee17",
+   "id": "c5187422",
    "metadata": {
     "editable": true
    },
@@ -1816,7 +1816,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae4d66ae",
+   "id": "3f2f8dff",
    "metadata": {
     "editable": true
    },
@@ -1828,7 +1828,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9a60e683",
+   "id": "d016aeaa",
    "metadata": {
     "editable": true
    },
@@ -1839,7 +1839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45315f93",
+   "id": "cbd6bef4",
    "metadata": {
     "editable": true
    },
@@ -1855,7 +1855,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "7fe845e8",
+   "id": "a936912f",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1889,7 +1889,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "049d9edb",
+   "id": "b5c1678e",
    "metadata": {
     "editable": true
    },
@@ -1899,7 +1899,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e098f1e2",
+   "id": "c9a49c01",
    "metadata": {
     "editable": true
    },
@@ -1914,7 +1914,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afe0f097",
+   "id": "b195db22",
    "metadata": {
     "editable": true
    },
@@ -1926,7 +1926,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c4c32c9",
+   "id": "9debef9c",
    "metadata": {
     "editable": true
    },
@@ -1936,7 +1936,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e3af961",
+   "id": "8a997618",
    "metadata": {
     "editable": true
    },
@@ -1952,7 +1952,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "364363ed",
+   "id": "371c1d67",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1969,7 +1969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f85005a3",
+   "id": "a0543264",
    "metadata": {
     "editable": true
    },
@@ -1982,7 +1982,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "47c9afad",
+   "id": "8c7a6aab",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2029,7 +2029,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d522b5b",
+   "id": "add34214",
    "metadata": {
     "editable": true
    },
@@ -2040,7 +2040,7 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "0aed60c8",
+   "id": "6419e441",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2143,7 +2143,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fa165453",
+   "id": "ef995ef5",
    "metadata": {
     "editable": true
    },
@@ -2171,7 +2171,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "734df471",
+   "id": "030d3c0c",
    "metadata": {
     "editable": true
    },
@@ -2206,7 +2206,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6bde2ec",
+   "id": "f43ff3f2",
    "metadata": {
     "editable": true
    },
@@ -2221,7 +2221,7 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "0e49b148",
+   "id": "f1048ea7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2246,7 +2246,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a4397707",
+   "id": "c2e96f53",
    "metadata": {
     "editable": true
    },
@@ -2262,7 +2262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c113b92",
+   "id": "168771fe",
    "metadata": {
     "editable": true
    },
@@ -2274,7 +2274,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18d476bc",
+   "id": "2c3a048c",
    "metadata": {
     "editable": true
    },
@@ -2289,7 +2289,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3cf3b752",
+   "id": "1cf78358",
    "metadata": {
     "editable": true
    },
@@ -2301,7 +2301,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed2af561",
+   "id": "df497fb7",
    "metadata": {
     "editable": true
    },
@@ -2311,7 +2311,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b37a9e65",
+   "id": "a0ee7f44",
    "metadata": {
     "editable": true
    },
@@ -2323,7 +2323,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9775ea0",
+   "id": "117813ee",
    "metadata": {
     "editable": true
    },
@@ -2333,7 +2333,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cecd5fc2",
+   "id": "7fe3c928",
    "metadata": {
     "editable": true
    },
@@ -2345,7 +2345,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52fcc61e",
+   "id": "d9b0cadf",
    "metadata": {
     "editable": true
    },
@@ -2358,7 +2358,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "000d54d2",
+   "id": "d084b963",
    "metadata": {
     "editable": true
    },
@@ -2370,7 +2370,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0fed9be4",
+   "id": "9feed9c7",
    "metadata": {
     "editable": true
    },
@@ -2380,7 +2380,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c61aa7b",
+   "id": "7646db83",
    "metadata": {
     "editable": true
    },
@@ -2392,7 +2392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b390be2f",
+   "id": "70b04ee4",
    "metadata": {
     "editable": true
    },
@@ -2402,7 +2402,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aab8c64c",
+   "id": "fb98b594",
    "metadata": {
     "editable": true
    },
@@ -2414,7 +2414,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "269cff24",
+   "id": "58b6bb60",
    "metadata": {
     "editable": true
    },
@@ -2424,7 +2424,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66e6ecf2",
+   "id": "8792e8b2",
    "metadata": {
     "editable": true
    },
@@ -2436,7 +2436,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33bddc5a",
+   "id": "fd1b7917",
    "metadata": {
     "editable": true
    },
@@ -2446,7 +2446,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e81b738",
+   "id": "9296d406",
    "metadata": {
     "editable": true
    },
@@ -2458,7 +2458,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b182f371",
+   "id": "49a369db",
    "metadata": {
     "editable": true
    },
@@ -2468,7 +2468,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97caf464",
+   "id": "6c1ff393",
    "metadata": {
     "editable": true
    },
@@ -2480,7 +2480,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d44cf34a",
+   "id": "05376dd3",
    "metadata": {
     "editable": true
    },
@@ -2490,7 +2490,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98301664",
+   "id": "9ffe05be",
    "metadata": {
     "editable": true
    },
@@ -2502,7 +2502,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c10a9495",
+   "id": "cf9c3ed2",
    "metadata": {
     "editable": true
    },
@@ -2514,7 +2514,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e55bc871",
+   "id": "4ad52b56",
    "metadata": {
     "editable": true
    },
@@ -2526,7 +2526,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6033356d",
+   "id": "fc7df605",
    "metadata": {
     "editable": true
    },
@@ -2539,7 +2539,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d064973a",
+   "id": "1ad271b5",
    "metadata": {
     "editable": true
    },
@@ -2551,7 +2551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "21607d44",
+   "id": "a7661ef0",
    "metadata": {
     "editable": true
    },
@@ -2561,7 +2561,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55a9f200",
+   "id": "66a608d3",
    "metadata": {
     "editable": true
    },
@@ -2575,7 +2575,7 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "35f99de0",
+   "id": "5538e71a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2672,7 +2672,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5eb9aa4d",
+   "id": "940dadb6",
    "metadata": {
     "editable": true
    },
@@ -2693,7 +2693,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cbdc215",
+   "id": "a6b92ae4",
    "metadata": {
     "editable": true
    },
@@ -2705,7 +2705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a148d669",
+   "id": "e50ebc47",
    "metadata": {
     "editable": true
    },
@@ -2715,7 +2715,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a04efc28",
+   "id": "c10d8931",
    "metadata": {
     "editable": true
    },
@@ -2727,7 +2727,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d004f9af",
+   "id": "414a419a",
    "metadata": {
     "editable": true
    },
@@ -2737,7 +2737,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33d88186",
+   "id": "01dcee36",
    "metadata": {
     "editable": true
    },
@@ -2749,7 +2749,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79a0fcd6",
+   "id": "1460667a",
    "metadata": {
     "editable": true
    },
@@ -2765,7 +2765,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5276fcae",
+   "id": "85a29f10",
    "metadata": {
     "editable": true
    },
@@ -2809,7 +2809,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6071dd24",
+   "id": "6e1cbb1b",
    "metadata": {
     "editable": true
    },
@@ -2821,7 +2821,7 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "c878cffa",
+   "id": "1026aca4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2837,7 +2837,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ae29df1",
+   "id": "4299d593",
    "metadata": {
     "editable": true
    },
@@ -2848,7 +2848,7 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "0c27343f",
+   "id": "f417412e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2866,7 +2866,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd362de3",
+   "id": "6ced6323",
    "metadata": {
     "editable": true
    },
@@ -2877,7 +2877,7 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "1042f631",
+   "id": "f11aa076",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2891,7 +2891,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82185c81",
+   "id": "c20af331",
    "metadata": {
     "editable": true
    },
@@ -2902,7 +2902,7 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "dd4764d2",
+   "id": "c6c96c81",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2915,7 +2915,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b18d348",
+   "id": "f6fb45ce",
    "metadata": {
     "editable": true
    },
@@ -2926,7 +2926,7 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "ad218084",
+   "id": "6f00c28a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2943,7 +2943,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37596ce4",
+   "id": "0abc4366",
    "metadata": {
     "editable": true
    },
@@ -2954,7 +2954,7 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "c64afdcd",
+   "id": "933b907e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2970,7 +2970,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f74d7c0e",
+   "id": "21b8d81c",
    "metadata": {
     "editable": true
    },
@@ -2981,7 +2981,7 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "05f432c4",
+   "id": "dcec4712",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3005,7 +3005,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7eccf967",
+   "id": "e7347e92",
    "metadata": {
     "editable": true
    },
@@ -3016,7 +3016,7 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "e4e2ffd8",
+   "id": "3f276b40",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3029,7 +3029,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "df5c1bb8",
+   "id": "271b8bef",
    "metadata": {
     "editable": true
    },
@@ -3040,7 +3040,7 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "f5103c3e",
+   "id": "99c18370",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3060,7 +3060,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b03da257",
+   "id": "21407961",
    "metadata": {
     "editable": true
    },
@@ -3071,7 +3071,7 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "862a3613",
+   "id": "ee884183",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3114,7 +3114,7 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "28414bfe",
+   "id": "a95605df",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3129,7 +3129,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "423c5193",
+   "id": "c83dad54",
    "metadata": {
     "editable": true
    },
@@ -3139,7 +3139,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40134015",
+   "id": "e80c5346",
    "metadata": {
     "editable": true
    },
@@ -3153,7 +3153,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ea33726",
+   "id": "5bce901a",
    "metadata": {
     "editable": true
    },
@@ -3165,7 +3165,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b20e3c69",
+   "id": "99d8c33b",
    "metadata": {
     "editable": true
    },
@@ -3177,7 +3177,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "86928159",
+   "id": "b4c93930",
    "metadata": {
     "editable": true
    },
@@ -3189,7 +3189,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f876bba",
+   "id": "f9ece246",
    "metadata": {
     "editable": true
    },
@@ -3199,7 +3199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a0f675e",
+   "id": "ebe402c7",
    "metadata": {
     "editable": true
    },
@@ -3211,7 +3211,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b09cb8c",
+   "id": "38dfce7b",
    "metadata": {
     "editable": true
    },
@@ -3221,7 +3221,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d734fd4",
+   "id": "42726abc",
    "metadata": {
     "editable": true
    },
@@ -3233,7 +3233,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7bd3f98e",
+   "id": "1c847fce",
    "metadata": {
     "editable": true
    },
@@ -3244,7 +3244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37d9ae55",
+   "id": "ce34cf9c",
    "metadata": {
     "editable": true
    },
@@ -3256,7 +3256,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "457c49df",
+   "id": "01ce392c",
    "metadata": {
     "editable": true
    },
@@ -3268,7 +3268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72cb8e53",
+   "id": "d2d128e9",
    "metadata": {
     "editable": true
    },
@@ -3278,7 +3278,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5a2f7bf",
+   "id": "e681b2fa",
    "metadata": {
     "editable": true
    },
@@ -3290,7 +3290,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c1d3ae9",
+   "id": "f3029e28",
    "metadata": {
     "editable": true
    },
@@ -3302,7 +3302,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbd16f90",
+   "id": "05e1d64d",
    "metadata": {
     "editable": true
    },
@@ -3312,7 +3312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b112d398",
+   "id": "3266ac10",
    "metadata": {
     "editable": true
    },
@@ -3324,7 +3324,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "02cd55a7",
+   "id": "e918b318",
    "metadata": {
     "editable": true
    },
@@ -3334,7 +3334,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f91ca1c",
+   "id": "80b16165",
    "metadata": {
     "editable": true
    },
@@ -3346,7 +3346,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4c9a1014",
+   "id": "9c5be15b",
    "metadata": {
     "editable": true
    },
@@ -3356,7 +3356,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bbf65400",
+   "id": "ee9004d8",
    "metadata": {
     "editable": true
    },
@@ -3396,7 +3396,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e86aedda",
+   "id": "8f345ab7",
    "metadata": {
     "editable": true
    },
@@ -3413,7 +3413,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5607899f",
+   "id": "922f58d1",
    "metadata": {
     "editable": true
    },
@@ -3436,7 +3436,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee828c1a",
+   "id": "8dafc4c2",
    "metadata": {
     "editable": true
    },
@@ -3453,7 +3453,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8cf44f4b",
+   "id": "b4e09621",
    "metadata": {
     "editable": true
    },
@@ -3472,7 +3472,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41c01ec3",
+   "id": "137c6cf4",
    "metadata": {
     "editable": true
    },
@@ -3483,7 +3483,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2abae461",
+   "id": "dc25a406",
    "metadata": {
     "editable": true
    },
@@ -3495,7 +3495,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b9091ee",
+   "id": "900ce3c9",
    "metadata": {
     "editable": true
    },
@@ -3513,7 +3513,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e9c2ef56",
+   "id": "b1afaf31",
    "metadata": {
     "editable": true
    },
@@ -3529,7 +3529,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f85233fa",
+   "id": "07b0ca44",
    "metadata": {
     "editable": true
    },
@@ -3541,7 +3541,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "61b8cabc",
+   "id": "22a680da",
    "metadata": {
     "editable": true
    },
@@ -3551,7 +3551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b057486",
+   "id": "f509aae3",
    "metadata": {
     "editable": true
    },
@@ -3566,7 +3566,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6274419d",
+   "id": "e0c20dba",
    "metadata": {
     "editable": true
    },
@@ -3578,7 +3578,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "213c9ae6",
+   "id": "c8bb06b6",
    "metadata": {
     "editable": true
    },
@@ -3588,7 +3588,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6a9de3b7",
+   "id": "29ca64d1",
    "metadata": {
     "editable": true
    },
@@ -3600,7 +3600,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7ce3387",
+   "id": "af1e6533",
    "metadata": {
     "editable": true
    },
@@ -3610,7 +3610,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98ff9d86",
+   "id": "b0a6fa58",
    "metadata": {
     "editable": true
    },
@@ -3622,7 +3622,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b327be5",
+   "id": "eadb81a6",
    "metadata": {
     "editable": true
    },
@@ -3634,7 +3634,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c1a9126",
+   "id": "fccff518",
    "metadata": {
     "editable": true
    },
@@ -3649,7 +3649,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c92214f",
+   "id": "cac0aa1e",
    "metadata": {
     "editable": true
    },
@@ -3660,7 +3660,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "534f2e5f",
+   "id": "8dd99324",
    "metadata": {
     "editable": true
    },
@@ -3680,7 +3680,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b60adf4",
+   "id": "881a015f",
    "metadata": {
     "editable": true
    },
@@ -3692,7 +3692,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8a70724c",
+   "id": "ac543f7f",
    "metadata": {
     "editable": true
    },
@@ -3702,7 +3702,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "428c905b",
+   "id": "4b3b7360",
    "metadata": {
     "editable": true
    },
@@ -3714,7 +3714,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "874e40ee",
+   "id": "42df2f58",
    "metadata": {
     "editable": true
    },
@@ -3743,7 +3743,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35f9527c",
+   "id": "7154cacc",
    "metadata": {
     "editable": true
    },
@@ -3770,7 +3770,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fdd5aa47",
+   "id": "d6023971",
    "metadata": {
     "editable": true
    },
@@ -3781,7 +3781,7 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "01e4de19",
+   "id": "a89decec",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3821,7 +3821,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4de121b",
+   "id": "ba244752",
    "metadata": {
     "editable": true
    },
@@ -3838,7 +3838,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ca8d39b",
+   "id": "20d7027f",
    "metadata": {
     "editable": true
    },
@@ -3861,7 +3861,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdcff808",
+   "id": "f0a99200",
    "metadata": {
     "editable": true
    },
@@ -3875,7 +3875,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28074411",
+   "id": "b6dd3432",
    "metadata": {
     "editable": true
    },
@@ -3894,7 +3894,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ea2fc19",
+   "id": "c13a39c4",
    "metadata": {
     "editable": true
    },
@@ -3904,7 +3904,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1fee3ce",
+   "id": "2f25e533",
    "metadata": {
     "editable": true
    },
@@ -3916,7 +3916,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd762673",
+   "id": "bfcfb048",
    "metadata": {
     "editable": true
    },
@@ -3930,7 +3930,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f20cf9e9",
+   "id": "56838f49",
    "metadata": {
     "editable": true
    },
@@ -3942,7 +3942,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85368feb",
+   "id": "cc22f743",
    "metadata": {
     "editable": true
    },
@@ -3952,7 +3952,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8770954",
+   "id": "eb5cf710",
    "metadata": {
     "editable": true
    },
@@ -3964,7 +3964,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a270875",
+   "id": "dc0695c6",
    "metadata": {
     "editable": true
    },
@@ -3981,7 +3981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "680b5723",
+   "id": "13f4a1f2",
    "metadata": {
     "editable": true
    },
@@ -3991,7 +3991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ccca506",
+   "id": "8cd7f951",
    "metadata": {
     "editable": true
    },
@@ -4007,7 +4007,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e79a5cc",
+   "id": "5e2da62c",
    "metadata": {
     "editable": true
    },
@@ -4017,7 +4017,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27b3b9fe",
+   "id": "3764dc21",
    "metadata": {
     "editable": true
    },
@@ -4033,7 +4033,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a351c847",
+   "id": "0c2a3cc3",
    "metadata": {
     "editable": true
    },
@@ -4043,7 +4043,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa000d05",
+   "id": "e26157fd",
    "metadata": {
     "editable": true
    },
@@ -4059,7 +4059,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d519658",
+   "id": "86faee8a",
    "metadata": {
     "editable": true
    },
@@ -4069,7 +4069,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0870c7af",
+   "id": "298ed70f",
    "metadata": {
     "editable": true
    },
@@ -4086,7 +4086,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "084c61ee",
+   "id": "82700ca9",
    "metadata": {
     "editable": true
    },
@@ -4098,7 +4098,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3d4ccfa",
+   "id": "0936050b",
    "metadata": {
     "editable": true
    },
@@ -4110,7 +4110,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "59ba92d2",
+   "id": "5cf9c415",
    "metadata": {
     "editable": true
    },
@@ -4122,7 +4122,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5e2f754",
+   "id": "383df96d",
    "metadata": {
     "editable": true
    },
@@ -4132,7 +4132,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cb23cb1",
+   "id": "61a360f0",
    "metadata": {
     "editable": true
    },
@@ -4144,7 +4144,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c3ffc6f",
+   "id": "0ae1f6d7",
    "metadata": {
     "editable": true
    },
@@ -4156,7 +4156,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "786439ab",
+   "id": "0377a098",
    "metadata": {
     "editable": true
    },
@@ -4168,7 +4168,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51d4bb29",
+   "id": "b8b7fadd",
    "metadata": {
     "editable": true
    },
@@ -4178,7 +4178,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79bdc7d5",
+   "id": "9b10c412",
    "metadata": {
     "editable": true
    },
@@ -4190,7 +4190,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a48d61d1",
+   "id": "4a8b1eae",
    "metadata": {
     "editable": true
    },
@@ -4200,7 +4200,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c8b52bf",
+   "id": "28eb8108",
    "metadata": {
     "editable": true
    },
@@ -4212,7 +4212,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d902463f",
+   "id": "7dfc4919",
    "metadata": {
     "editable": true
    },
@@ -4228,7 +4228,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "955c3dda",
+   "id": "b0623f5e",
    "metadata": {
     "editable": true
    },
@@ -4240,7 +4240,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af6d057f",
+   "id": "7c0a554d",
    "metadata": {
     "editable": true
    },
@@ -4252,7 +4252,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1200c060",
+   "id": "eb6957af",
    "metadata": {
     "editable": true
    },
@@ -4262,7 +4262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18782e94",
+   "id": "cd8cdf7b",
    "metadata": {
     "editable": true
    },
@@ -4274,7 +4274,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f51193b6",
+   "id": "7479824a",
    "metadata": {
     "editable": true
    },
@@ -4285,7 +4285,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "293c5f44",
+   "id": "0f5e31a1",
    "metadata": {
     "editable": true
    },
@@ -4297,7 +4297,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e5cd6b1",
+   "id": "0154706c",
    "metadata": {
     "editable": true
    },
@@ -4307,7 +4307,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79a79025",
+   "id": "204300e7",
    "metadata": {
     "editable": true
    },
@@ -4319,7 +4319,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9bbddbf2",
+   "id": "0c286642",
    "metadata": {
     "editable": true
    },
@@ -4329,7 +4329,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a80c23e",
+   "id": "6e86269b",
    "metadata": {
     "editable": true
    },
@@ -4341,7 +4341,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5af565e",
+   "id": "0239d27b",
    "metadata": {
     "editable": true
    },
@@ -4352,7 +4352,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dd518e36",
+   "id": "d28c673d",
    "metadata": {
     "editable": true
    },
@@ -4364,7 +4364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "082bcee9",
+   "id": "a46000f4",
    "metadata": {
     "editable": true
    },
@@ -4382,7 +4382,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdbc4fa9",
+   "id": "5af469fb",
    "metadata": {
     "editable": true
    },
@@ -4398,7 +4398,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33adf71a",
+   "id": "cbf850f2",
    "metadata": {
     "editable": true
    },
@@ -4410,7 +4410,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3794d9a9",
+   "id": "46754f34",
    "metadata": {
     "editable": true
    },
@@ -4422,7 +4422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55e25f81",
+   "id": "912e6438",
    "metadata": {
     "editable": true
    },
@@ -4434,7 +4434,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47657755",
+   "id": "385e44a5",
    "metadata": {
     "editable": true
    },
@@ -4447,7 +4447,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bfdc6c11",
+   "id": "f7ea1538",
    "metadata": {
     "editable": true
    },
@@ -4463,7 +4463,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b10b21d6",
+   "id": "4871a670",
    "metadata": {
     "editable": true
    },
@@ -4477,7 +4477,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "127632f4",
+   "id": "096bfb4e",
    "metadata": {
     "editable": true
    },
@@ -4487,7 +4487,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ddd29440",
+   "id": "8bb5961a",
    "metadata": {
     "editable": true
    },
@@ -4499,7 +4499,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f1426a9",
+   "id": "d5fc78b2",
    "metadata": {
     "editable": true
    },
@@ -4509,7 +4509,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8af09cbd",
+   "id": "8294b010",
    "metadata": {
     "editable": true
    },
@@ -4521,7 +4521,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbb24d4a",
+   "id": "0d740546",
    "metadata": {
     "editable": true
    },
@@ -4531,7 +4531,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "108264c8",
+   "id": "bfa7cec5",
    "metadata": {
     "editable": true
    },
@@ -4545,7 +4545,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1df71171",
+   "id": "bd250d44",
    "metadata": {
     "editable": true
    },
@@ -4562,7 +4562,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94f43fa7",
+   "id": "5c715a9c",
    "metadata": {
     "editable": true
    },
@@ -4578,7 +4578,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35a9e26e",
+   "id": "530e44f9",
    "metadata": {
     "editable": true
    },
@@ -4590,7 +4590,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "570d029f",
+   "id": "8963de47",
    "metadata": {
     "editable": true
    },
@@ -4603,7 +4603,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2920ebfe",
+   "id": "57dfa03b",
    "metadata": {
     "editable": true
    },
@@ -4617,7 +4617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "508ef7cd",
+   "id": "03fee314",
    "metadata": {
     "editable": true
    },
@@ -4627,7 +4627,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47eaf212",
+   "id": "af46ee0c",
    "metadata": {
     "editable": true
    },
@@ -4640,7 +4640,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c88297fa",
+   "id": "52cc3bc6",
    "metadata": {
     "editable": true
    },
@@ -4659,7 +4659,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0eb1beac",
+   "id": "c3a0202f",
    "metadata": {
     "editable": true
    },
@@ -4671,7 +4671,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8055f42",
+   "id": "7b244f95",
    "metadata": {
     "editable": true
    },
@@ -4683,7 +4683,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18b7ca49",
+   "id": "664f60f6",
    "metadata": {
     "editable": true
    },
@@ -4693,7 +4693,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf084294",
+   "id": "790a3b58",
    "metadata": {
     "editable": true
    },
@@ -4705,7 +4705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2d914bb",
+   "id": "9c9f2d45",
    "metadata": {
     "editable": true
    },
@@ -4718,7 +4718,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28d0307c",
+   "id": "faf5ab08",
    "metadata": {
     "editable": true
    },
@@ -4737,7 +4737,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1022b8b",
+   "id": "59ec07d7",
    "metadata": {
     "editable": true
    },
@@ -4747,7 +4747,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9813aced",
+   "id": "3013ec51",
    "metadata": {
     "editable": true
    },
@@ -4766,7 +4766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "624e1592",
+   "id": "09868daf",
    "metadata": {
     "editable": true
    },
@@ -4784,7 +4784,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e69238f",
+   "id": "f4ad3314",
    "metadata": {
     "editable": true
    },
@@ -4798,7 +4798,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1adcab4e",
+   "id": "bea84db1",
    "metadata": {
     "editable": true
    },
@@ -4813,7 +4813,7 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "d7a3937b",
+   "id": "7406b721",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4834,7 +4834,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7668b290",
+   "id": "e62a10c6",
    "metadata": {
     "editable": true
    },
@@ -4851,7 +4851,7 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "22a46238",
+   "id": "e99810d7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4883,7 +4883,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d60df16",
+   "id": "b6753d67",
    "metadata": {
     "editable": true
    },
@@ -4897,7 +4897,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cce022a",
+   "id": "d7e5de4d",
    "metadata": {
     "editable": true
    },
@@ -4910,7 +4910,7 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "ce383181",
+   "id": "b88ed80b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4935,7 +4935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5af761f5",
+   "id": "97b688c8",
    "metadata": {
     "editable": true
    },
@@ -4945,7 +4945,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "43c34a93",
+   "id": "bda65277",
    "metadata": {
     "editable": true
    },
@@ -4956,7 +4956,7 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "98ae9abd",
+   "id": "9a2f0b3a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5010,7 +5010,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55b95089",
+   "id": "36f0b362",
    "metadata": {
     "editable": true
    },
@@ -5027,7 +5027,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "58edec27",
+   "id": "9cc9395a",
    "metadata": {
     "editable": true
    },
@@ -5039,7 +5039,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91cf5408",
+   "id": "2cb29d31",
    "metadata": {
     "editable": true
    },
@@ -5051,7 +5051,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9628d939",
+   "id": "37266bbd",
    "metadata": {
     "editable": true
    },
@@ -5061,7 +5061,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d408e7f5",
+   "id": "fd11309e",
    "metadata": {
     "editable": true
    },
@@ -5078,7 +5078,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1266b478",
+   "id": "5dd9ff49",
    "metadata": {
     "editable": true
    },
@@ -5088,7 +5088,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e22633d5",
+   "id": "10932a11",
    "metadata": {
     "editable": true
    },
@@ -5103,7 +5103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "594fba0d",
+   "id": "87223b22",
    "metadata": {
     "editable": true
    },
@@ -5113,7 +5113,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d70023fd",
+   "id": "b62507a6",
    "metadata": {
     "editable": true
    },
@@ -5127,7 +5127,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52dc44dd",
+   "id": "b55725a2",
    "metadata": {
     "editable": true
    },
@@ -5139,7 +5139,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2668fc5",
+   "id": "cad5ecee",
    "metadata": {
     "editable": true
    },
@@ -5151,7 +5151,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "abcb6d33",
+   "id": "e9c5b7ad",
    "metadata": {
     "editable": true
    },
@@ -5163,7 +5163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a224487f",
+   "id": "adf41d77",
    "metadata": {
     "editable": true
    },
@@ -5173,7 +5173,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d2e0786",
+   "id": "c7c61baf",
    "metadata": {
     "editable": true
    },
@@ -5185,7 +5185,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1175c0c5",
+   "id": "e7b1cec7",
    "metadata": {
     "editable": true
    },
@@ -5195,7 +5195,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bbfe6895",
+   "id": "2ba7eb4a",
    "metadata": {
     "editable": true
    },
@@ -5212,7 +5212,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e1fd41d",
+   "id": "68bed668",
    "metadata": {
     "editable": true
    },
@@ -5222,7 +5222,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ac7e61a",
+   "id": "9e799242",
    "metadata": {
     "editable": true
    },
@@ -5234,7 +5234,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "779f099c",
+   "id": "bd113755",
    "metadata": {
     "editable": true
    },
@@ -5244,7 +5244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fe58de11",
+   "id": "0ac63d25",
    "metadata": {
     "editable": true
    },
@@ -5256,7 +5256,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6f9244dc",
+   "id": "06a3a6a0",
    "metadata": {
     "editable": true
    },
@@ -5270,7 +5270,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0dc4a97b",
+   "id": "c4207b8e",
    "metadata": {
     "editable": true
    },
@@ -5282,7 +5282,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c85e169b",
+   "id": "ecc01bf4",
    "metadata": {
     "editable": true
    },
@@ -5296,7 +5296,7 @@
     "encode from the columns of $\\boldsymbol{X}$. \n",
     "\n",
     "Note that these are also the eigenvectors and eigenvalues of the\n",
-    "Hessian matrix.\n",
+    "Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.\n",
     "\n",
     "If we now recall the definition of the covariance matrix (not using\n",
     "Bessel's correction) we have"
@@ -5304,7 +5304,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d9c670c9",
+   "id": "762ad728",
    "metadata": {
     "editable": true
    },
@@ -5316,7 +5316,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "19f3422e",
+   "id": "07987964",
    "metadata": {
     "editable": true
    },
@@ -5331,7 +5331,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73ba196c",
+   "id": "f2a7f704",
    "metadata": {
     "editable": true
    },
@@ -5343,7 +5343,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e045ed0",
+   "id": "aa2f5f3b",
    "metadata": {
     "editable": true
    },
@@ -5355,7 +5355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73a040c2",
+   "id": "f35a10a9",
    "metadata": {
     "editable": true
    },
@@ -5365,7 +5365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad598099",
+   "id": "cf2795e3",
    "metadata": {
     "editable": true
    },
@@ -5377,7 +5377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72c59cf8",
+   "id": "3d5180ae",
    "metadata": {
     "editable": true
    },
@@ -5387,7 +5387,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d3ea89e",
+   "id": "d39a992a",
    "metadata": {
     "editable": true
    },
@@ -5399,7 +5399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7180582d",
+   "id": "7167d57e",
    "metadata": {
     "editable": true
    },
@@ -5409,7 +5409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9993e038",
+   "id": "c5c07ca6",
    "metadata": {
     "editable": true
    },
@@ -5421,7 +5421,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb3035aa",
+   "id": "ffd917e2",
    "metadata": {
     "editable": true
    },
@@ -5438,7 +5438,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a561bcdb",
+   "id": "99d25bf3",
    "metadata": {
     "editable": true
    },
@@ -5451,7 +5451,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "268ae34a",
+   "id": "70a97a49",
    "metadata": {
     "editable": true
    },
@@ -5463,7 +5463,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc03d5dc",
+   "id": "acad4821",
    "metadata": {
     "editable": true
    },
@@ -5473,7 +5473,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ea893df",
+   "id": "7c7245b1",
    "metadata": {
     "editable": true
    },
@@ -5486,7 +5486,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ef4a051",
+   "id": "4d48256d",
    "metadata": {
     "editable": true
    },
@@ -5496,7 +5496,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e250ee2f",
+   "id": "b97689ae",
    "metadata": {
     "editable": true
    },
@@ -5508,7 +5508,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac02490b",
+   "id": "a1e6d358",
    "metadata": {
     "editable": true
    },
@@ -5521,7 +5521,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aeb823e8",
+   "id": "23c512d5",
    "metadata": {
     "editable": true
    },
@@ -5534,7 +5534,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "185ff85c",
+   "id": "9da70468",
    "metadata": {
     "editable": true
    },
@@ -5546,7 +5546,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1419c4ca",
+   "id": "741726c2",
    "metadata": {
     "editable": true
    },
@@ -5558,7 +5558,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9773136b",
+   "id": "a44d203e",
    "metadata": {
     "editable": true
    },
@@ -5568,7 +5568,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8b694dc",
+   "id": "09bbc4ac",
    "metadata": {
     "editable": true
    },
@@ -5581,7 +5581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88371d47",
+   "id": "37cb206c",
    "metadata": {
     "editable": true
    },
@@ -5593,7 +5593,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "171b5be4",
+   "id": "87fe1756",
    "metadata": {
     "editable": true
    },
@@ -5605,7 +5605,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e835b14",
+   "id": "44fc5198",
    "metadata": {
     "editable": true
    },
@@ -5617,7 +5617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17531870",
+   "id": "b0fa981e",
    "metadata": {
     "editable": true
    },
@@ -5629,7 +5629,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e3ef48e",
+   "id": "80231e43",
    "metadata": {
     "editable": true
    },
@@ -5643,7 +5643,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66166180",
+   "id": "15e51237",
    "metadata": {
     "editable": true
    },
@@ -5655,7 +5655,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a58eac00",
+   "id": "dd75aca5",
    "metadata": {
     "editable": true
    },
@@ -5665,7 +5665,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27eed264",
+   "id": "9cb2ef33",
    "metadata": {
     "editable": true
    },
@@ -5677,7 +5677,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dde3eff1",
+   "id": "fad95084",
    "metadata": {
     "editable": true
    },
@@ -5689,7 +5689,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc32ef71",
+   "id": "230a6ff7",
    "metadata": {
     "editable": true
    },
@@ -5701,7 +5701,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f71d1884",
+   "id": "85a1a5d1",
    "metadata": {
     "editable": true
    },
@@ -5713,7 +5713,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a461218a",
+   "id": "ff8d6799",
    "metadata": {
     "editable": true
    },
@@ -5725,7 +5725,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "417dd2f5",
+   "id": "827e177b",
    "metadata": {
     "editable": true
    },
@@ -5744,7 +5744,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb40cac4",
+   "id": "aca28922",
    "metadata": {
     "editable": true
    },
@@ -5756,7 +5756,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0220204c",
+   "id": "e08ee7a5",
    "metadata": {
     "editable": true
    },
@@ -5766,7 +5766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5f1bd6c9",
+   "id": "5f5b2dc5",
    "metadata": {
     "editable": true
    },
@@ -5778,7 +5778,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17072bfc",
+   "id": "d5030a07",
    "metadata": {
     "editable": true
    },
@@ -5788,7 +5788,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c11fad3",
+   "id": "3b4a0fce",
    "metadata": {
     "editable": true
    },
@@ -5800,7 +5800,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c609b962",
+   "id": "67619670",
    "metadata": {
     "editable": true
    },
@@ -5812,7 +5812,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9795acef",
+   "id": "a0188c70",
    "metadata": {
     "editable": true
    },
@@ -5828,7 +5828,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2219ef4",
+   "id": "2b542ab9",
    "metadata": {
     "editable": true
    },
@@ -5840,7 +5840,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db852bdc",
+   "id": "c27c8f59",
    "metadata": {
     "editable": true
    },
@@ -5852,7 +5852,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7af957bf",
+   "id": "2b68e82e",
    "metadata": {
     "editable": true
    },
@@ -5862,7 +5862,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3b9a6dcb",
+   "id": "af6db7ba",
    "metadata": {
     "editable": true
    },
@@ -5874,7 +5874,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fe99d76",
+   "id": "69a927de",
    "metadata": {
     "editable": true
    },
@@ -5884,7 +5884,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95c258e2",
+   "id": "f9362946",
    "metadata": {
     "editable": true
    },
@@ -5896,7 +5896,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "61e1baef",
+   "id": "1999617c",
    "metadata": {
     "editable": true
    },
@@ -5913,7 +5913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "706bad69",
+   "id": "05da6504",
    "metadata": {
     "editable": true
    },
@@ -5925,7 +5925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff63d81f",
+   "id": "bf894d8e",
    "metadata": {
     "editable": true
    },
@@ -5937,7 +5937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66436c5d",
+   "id": "b0e2eb07",
    "metadata": {
     "editable": true
    },
@@ -5947,7 +5947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bb26a2e",
+   "id": "b4b83749",
    "metadata": {
     "editable": true
    },
@@ -5959,7 +5959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "87a71dc0",
+   "id": "f335a39d",
    "metadata": {
     "editable": true
    },
@@ -5969,7 +5969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a9ef08dc",
+   "id": "47a66a91",
    "metadata": {
     "editable": true
    },
@@ -5981,7 +5981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8ebfe39",
+   "id": "f6132801",
    "metadata": {
     "editable": true
    },
@@ -5991,7 +5991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3acea6b",
+   "id": "61e7e5b8",
    "metadata": {
     "editable": true
    },
@@ -6003,7 +6003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "24f8649f",
+   "id": "9f52d6a6",
    "metadata": {
     "editable": true
    },
@@ -6013,7 +6013,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2af184ea",
+   "id": "c4f8cae2",
    "metadata": {
     "editable": true
    },
@@ -6025,7 +6025,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "257f939f",
+   "id": "00e45c65",
    "metadata": {
     "editable": true
    },
diff --git a/doc/pub/week35/html/._week35-bs067.html b/doc/pub/week35/html/._week35-bs067.html
index 4539a0722..c8858710e 100644
--- a/doc/pub/week35/html/._week35-bs067.html
+++ b/doc/pub/week35/html/._week35-bs067.html
@@ -388,7 +388,7 @@ encode from the columns of \( \boldsymbol{X} \).
 </p>
 
 <p>Note that these are also the eigenvectors and eigenvalues of the
-Hessian matrix.
+Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.
 </p>
 
 <p>If we now recall the definition of the covariance matrix (not using
diff --git a/doc/pub/week35/html/week35-reveal.html b/doc/pub/week35/html/week35-reveal.html
index 95808c6c0..e55f3a396 100644
--- a/doc/pub/week35/html/week35-reveal.html
+++ b/doc/pub/week35/html/week35-reveal.html
@@ -3489,7 +3489,7 @@ encode from the columns of \( \boldsymbol{X} \).
 </p>
 
 <p>Note that these are also the eigenvectors and eigenvalues of the
-Hessian matrix.
+Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.
 </p>
 
 <p>If we now recall the definition of the covariance matrix (not using
diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html
index 1fa0299c4..dab100aac 100644
--- a/doc/pub/week35/html/week35-solarized.html
+++ b/doc/pub/week35/html/week35-solarized.html
@@ -3306,7 +3306,7 @@ encode from the columns of \( \boldsymbol{X} \).
 </p>
 
 <p>Note that these are also the eigenvectors and eigenvalues of the
-Hessian matrix.
+Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.
 </p>
 
 <p>If we now recall the definition of the covariance matrix (not using
diff --git a/doc/pub/week35/html/week35.html b/doc/pub/week35/html/week35.html
index b72d52f1f..e1dc47b12 100644
--- a/doc/pub/week35/html/week35.html
+++ b/doc/pub/week35/html/week35.html
@@ -3383,7 +3383,7 @@ encode from the columns of \( \boldsymbol{X} \).
 </p>
 
 <p>Note that these are also the eigenvectors and eigenvalues of the
-Hessian matrix.
+Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.
 </p>
 
 <p>If we now recall the definition of the covariance matrix (not using
diff --git a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz
index 373467a9323db1e1634e9da098e4dae623a0e63b..85d60b9896e3c6ac91d8d754bf3d55ed374ee09b 100644
GIT binary patch
literal 192
zcmV;x06+g9iwFS5C-7td1MSbv3c@f92k@Qu6nTQtt?hOe^x#1d@dY}TxjNU*wnO*!
z?gR9sco`z}cli?%LUP!w*1JvQ?k-piAtYrC#>`SaB}wLb62}~3#xh0{nvoPpOgT*g
zAj_Tf(pe|Wa7t61QCU>)=7zDd{IF+!1)ljQj+L~q-S@823Y2!3YhA+)v8FtdZLe}D
uG}^HR2Ctno2txHBib6W6mAHhh(I+Ds8->4q#`8SS``QD%>4aSX2mk=e9$U!(

literal 191
zcmV;w06_mAiwFP(7Vu;M1MSbv3c@f92k@Qu6nTP?x^_DY?%+WX@dY~8xjNU*wnO*!
z?gR9sco`z}cli?%LUPE~n_U*Uy9*YBhzX@IW}2`maW&TyLKqNAQ;H-;WH1C<kpOVH
zlU_ROxEW4qs<Tj5sCRS2SXqA9Grt1Q{1eAYTG;M;S7`-GJCSQ$!%c`fW|3@rl|!M0
t9a~_;wUb5wS3U5ekWOmFFJWu+$?(QT;jf?ZJkRsK_5g~<%F_S{000fSSW^H1

diff --git a/doc/pub/week35/ipynb/week35.ipynb b/doc/pub/week35/ipynb/week35.ipynb
index acce5416d..d19cfb003 100644
--- a/doc/pub/week35/ipynb/week35.ipynb
+++ b/doc/pub/week35/ipynb/week35.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "0babeebd",
+   "id": "e0ac9f47",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97c00fa1",
+   "id": "20d0da53",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4a3ef03",
+   "id": "22448e3d",
    "metadata": {
     "editable": true
    },
@@ -49,7 +49,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cce1437b",
+   "id": "3a79d77d",
    "metadata": {
     "editable": true
    },
@@ -65,7 +65,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52737d8a",
+   "id": "ae5da086",
    "metadata": {
     "editable": true
    },
@@ -99,7 +99,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "671d6e88",
+   "id": "9f1bacbf",
    "metadata": {
     "editable": true
    },
@@ -115,7 +115,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff12276e",
+   "id": "65cc3dd0",
    "metadata": {
     "editable": true
    },
@@ -127,7 +127,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "047c45e4",
+   "id": "9817bfd1",
    "metadata": {
     "editable": true
    },
@@ -137,7 +137,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "429101eb",
+   "id": "f8aad43a",
    "metadata": {
     "editable": true
    },
@@ -149,7 +149,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5e3146c",
+   "id": "e3d82d66",
    "metadata": {
     "editable": true
    },
@@ -170,7 +170,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7dbe051b",
+   "id": "8f723842",
    "metadata": {
     "editable": true
    },
@@ -182,7 +182,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4fc0ccc9",
+   "id": "bc1bd2ac",
    "metadata": {
     "editable": true
    },
@@ -195,7 +195,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b74ac188",
+   "id": "fd86d13e",
    "metadata": {
     "editable": true
    },
@@ -207,7 +207,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3dd89363",
+   "id": "9e4182c0",
    "metadata": {
     "editable": true
    },
@@ -219,7 +219,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9c8ee6d",
+   "id": "98d9bd56",
    "metadata": {
     "editable": true
    },
@@ -229,7 +229,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1a7d81e",
+   "id": "d4a31a4c",
    "metadata": {
     "editable": true
    },
@@ -241,7 +241,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e470402",
+   "id": "cc31ead7",
    "metadata": {
     "editable": true
    },
@@ -254,7 +254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de2d1c2e",
+   "id": "cbd1baab",
    "metadata": {
     "editable": true
    },
@@ -266,7 +266,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f2c6a27",
+   "id": "e0562917",
    "metadata": {
     "editable": true
    },
@@ -276,7 +276,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2a53c69",
+   "id": "cc542ad8",
    "metadata": {
     "editable": true
    },
@@ -288,7 +288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e6be165",
+   "id": "fb4287eb",
    "metadata": {
     "editable": true
    },
@@ -300,7 +300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e1aa69e",
+   "id": "91c1c4e2",
    "metadata": {
     "editable": true
    },
@@ -311,7 +311,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6808670",
+   "id": "db1b66ea",
    "metadata": {
     "editable": true
    },
@@ -323,7 +323,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1681f8b5",
+   "id": "4716bdab",
    "metadata": {
     "editable": true
    },
@@ -342,7 +342,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "079581c8",
+   "id": "e9833b82",
    "metadata": {
     "editable": true
    },
@@ -355,7 +355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2d8bbbe",
+   "id": "3492b7ee",
    "metadata": {
     "editable": true
    },
@@ -365,7 +365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6f6fa32",
+   "id": "d2c35465",
    "metadata": {
     "editable": true
    },
@@ -377,7 +377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c40e93cb",
+   "id": "1f18e09c",
    "metadata": {
     "editable": true
    },
@@ -387,7 +387,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "817e6b7e",
+   "id": "e740df2b",
    "metadata": {
     "editable": true
    },
@@ -399,7 +399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e81cba3",
+   "id": "529cdc4c",
    "metadata": {
     "editable": true
    },
@@ -409,7 +409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f444a6f6",
+   "id": "d46fdfa6",
    "metadata": {
     "editable": true
    },
@@ -421,7 +421,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0a4d2f3",
+   "id": "d7e2a6c8",
    "metadata": {
     "editable": true
    },
@@ -432,7 +432,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b4fb52ac",
+   "id": "e210bf52",
    "metadata": {
     "editable": true
    },
@@ -444,7 +444,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "625eedb8",
+   "id": "5f1a1000",
    "metadata": {
     "editable": true
    },
@@ -454,7 +454,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4860d6a",
+   "id": "79f3a458",
    "metadata": {
     "editable": true
    },
@@ -466,7 +466,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3dbaea0",
+   "id": "0e7cf91b",
    "metadata": {
     "editable": true
    },
@@ -476,7 +476,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12a58017",
+   "id": "6c3736f3",
    "metadata": {
     "editable": true
    },
@@ -488,7 +488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e01c27e",
+   "id": "6b2f9416",
    "metadata": {
     "editable": true
    },
@@ -508,7 +508,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a674207",
+   "id": "702f5c24",
    "metadata": {
     "editable": true
    },
@@ -535,7 +535,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "32d78057",
+   "id": "43ab73e6",
    "metadata": {
     "editable": true
    },
@@ -547,7 +547,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b05fa6a7",
+   "id": "82078c10",
    "metadata": {
     "editable": true
    },
@@ -559,7 +559,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5d01c3c2",
+   "id": "4a024a84",
    "metadata": {
     "editable": true
    },
@@ -575,7 +575,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f6abac54",
+   "id": "a87fdfb1",
    "metadata": {
     "editable": true
    },
@@ -593,7 +593,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83090779",
+   "id": "78689f85",
    "metadata": {
     "editable": true
    },
@@ -605,7 +605,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af17b7d4",
+   "id": "6c9f7030",
    "metadata": {
     "editable": true
    },
@@ -617,7 +617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c67fb280",
+   "id": "2bacebe3",
    "metadata": {
     "editable": true
    },
@@ -628,7 +628,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3289be1",
+   "id": "e6cddb5b",
    "metadata": {
     "editable": true
    },
@@ -640,7 +640,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "edc4fe47",
+   "id": "4a0ea4ff",
    "metadata": {
     "editable": true
    },
@@ -650,7 +650,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cae8f055",
+   "id": "714d5fd4",
    "metadata": {
     "editable": true
    },
@@ -662,7 +662,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cac6ff9f",
+   "id": "9963e08d",
    "metadata": {
     "editable": true
    },
@@ -676,7 +676,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50d4f5da",
+   "id": "6e256484",
    "metadata": {
     "editable": true
    },
@@ -688,7 +688,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "150da64e",
+   "id": "e85336f3",
    "metadata": {
     "editable": true
    },
@@ -700,7 +700,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95b20a47",
+   "id": "3443addc",
    "metadata": {
     "editable": true
    },
@@ -712,7 +712,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51b0e4e3",
+   "id": "090b5baa",
    "metadata": {
     "editable": true
    },
@@ -722,7 +722,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6e1d862",
+   "id": "ff67b428",
    "metadata": {
     "editable": true
    },
@@ -734,7 +734,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bad539c1",
+   "id": "881885dd",
    "metadata": {
     "editable": true
    },
@@ -746,7 +746,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a4f0d75",
+   "id": "1240d539",
    "metadata": {
     "editable": true
    },
@@ -758,7 +758,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a71b3c23",
+   "id": "331ad633",
    "metadata": {
     "editable": true
    },
@@ -772,7 +772,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88befc96",
+   "id": "a521aa39",
    "metadata": {
     "editable": true
    },
@@ -784,7 +784,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d3f17e84",
+   "id": "114aed6b",
    "metadata": {
     "editable": true
    },
@@ -796,7 +796,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "daccd41d",
+   "id": "ff8e2332",
    "metadata": {
     "editable": true
    },
@@ -808,7 +808,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "00b3204d",
+   "id": "9ec540cb",
    "metadata": {
     "editable": true
    },
@@ -818,7 +818,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8be5135b",
+   "id": "d791ae0d",
    "metadata": {
     "editable": true
    },
@@ -830,7 +830,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f573683",
+   "id": "533a1d14",
    "metadata": {
     "editable": true
    },
@@ -840,7 +840,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc6a156c",
+   "id": "0881c74d",
    "metadata": {
     "editable": true
    },
@@ -852,7 +852,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83c196bf",
+   "id": "22fd8012",
    "metadata": {
     "editable": true
    },
@@ -862,7 +862,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a350d475",
+   "id": "69d58d47",
    "metadata": {
     "editable": true
    },
@@ -874,7 +874,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b7eabaf",
+   "id": "d4cd670f",
    "metadata": {
     "editable": true
    },
@@ -886,7 +886,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90736966",
+   "id": "83be2125",
    "metadata": {
     "editable": true
    },
@@ -898,7 +898,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb9a16ec",
+   "id": "02f427be",
    "metadata": {
     "editable": true
    },
@@ -913,7 +913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52518d34",
+   "id": "25eccf6d",
    "metadata": {
     "editable": true
    },
@@ -925,7 +925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "139726b2",
+   "id": "11cc70c5",
    "metadata": {
     "editable": true
    },
@@ -935,7 +935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5684873d",
+   "id": "319aa4a2",
    "metadata": {
     "editable": true
    },
@@ -947,7 +947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "acfde1eb",
+   "id": "31aaf2ce",
    "metadata": {
     "editable": true
    },
@@ -957,7 +957,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db5a6f27",
+   "id": "0a3aec11",
    "metadata": {
     "editable": true
    },
@@ -969,7 +969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b343d82",
+   "id": "fbff7523",
    "metadata": {
     "editable": true
    },
@@ -979,7 +979,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c2f023d",
+   "id": "1e416580",
    "metadata": {
     "editable": true
    },
@@ -991,7 +991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c575a3d",
+   "id": "2beb6f3c",
    "metadata": {
     "editable": true
    },
@@ -1003,7 +1003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cdd12ae",
+   "id": "951de09f",
    "metadata": {
     "editable": true
    },
@@ -1015,7 +1015,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c747ecf",
+   "id": "f0cfd242",
    "metadata": {
     "editable": true
    },
@@ -1025,7 +1025,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1f1cac6",
+   "id": "a5f1d7d3",
    "metadata": {
     "editable": true
    },
@@ -1037,7 +1037,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38f0c38d",
+   "id": "eba03162",
    "metadata": {
     "editable": true
    },
@@ -1050,7 +1050,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e6e7a18",
+   "id": "f100cbe2",
    "metadata": {
     "editable": true
    },
@@ -1062,7 +1062,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d0a300bf",
+   "id": "f1bfc271",
    "metadata": {
     "editable": true
    },
@@ -1072,7 +1072,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8606b2f5",
+   "id": "eab9d415",
    "metadata": {
     "editable": true
    },
@@ -1084,7 +1084,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e808f42",
+   "id": "5a448795",
    "metadata": {
     "editable": true
    },
@@ -1094,7 +1094,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e60692f9",
+   "id": "b99d4e29",
    "metadata": {
     "editable": true
    },
@@ -1106,7 +1106,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "191a1403",
+   "id": "e2d4516c",
    "metadata": {
     "editable": true
    },
@@ -1116,7 +1116,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85a48dc2",
+   "id": "cb9eb155",
    "metadata": {
     "editable": true
    },
@@ -1128,7 +1128,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "322515bc",
+   "id": "790a0e95",
    "metadata": {
     "editable": true
    },
@@ -1138,7 +1138,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "07e78aa4",
+   "id": "13aa82ce",
    "metadata": {
     "editable": true
    },
@@ -1150,7 +1150,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55e68f23",
+   "id": "a103f682",
    "metadata": {
     "editable": true
    },
@@ -1160,7 +1160,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c4198d70",
+   "id": "ce7906c3",
    "metadata": {
     "editable": true
    },
@@ -1172,7 +1172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b7d6fda2",
+   "id": "da4e0b11",
    "metadata": {
     "editable": true
    },
@@ -1184,7 +1184,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f76130c7",
+   "id": "fed771e5",
    "metadata": {
     "editable": true
    },
@@ -1196,7 +1196,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1eda8311",
+   "id": "2facb9ef",
    "metadata": {
     "editable": true
    },
@@ -1208,7 +1208,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cbcfc4ac",
+   "id": "6f272a9f",
    "metadata": {
     "editable": true
    },
@@ -1220,7 +1220,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15f400be",
+   "id": "29d09098",
    "metadata": {
     "editable": true
    },
@@ -1236,7 +1236,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ea079a0",
+   "id": "a65ba3e7",
    "metadata": {
     "editable": true
    },
@@ -1248,7 +1248,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c55b7c42",
+   "id": "81f1235d",
    "metadata": {
     "editable": true
    },
@@ -1258,7 +1258,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74f1cbc2",
+   "id": "03fc983e",
    "metadata": {
     "editable": true
    },
@@ -1270,7 +1270,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "281c8820",
+   "id": "a977079e",
    "metadata": {
     "editable": true
    },
@@ -1288,7 +1288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf35f2b0",
+   "id": "f7a353e0",
    "metadata": {
     "editable": true
    },
@@ -1300,7 +1300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8db5ad71",
+   "id": "ea0cc191",
    "metadata": {
     "editable": true
    },
@@ -1312,7 +1312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f39e2160",
+   "id": "8ef639aa",
    "metadata": {
     "editable": true
    },
@@ -1322,7 +1322,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e4e4e8d",
+   "id": "2a440bb6",
    "metadata": {
     "editable": true
    },
@@ -1334,7 +1334,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0323a489",
+   "id": "434ec630",
    "metadata": {
     "editable": true
    },
@@ -1344,7 +1344,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10339395",
+   "id": "224d3db0",
    "metadata": {
     "editable": true
    },
@@ -1356,7 +1356,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b22fc31",
+   "id": "8454f8a5",
    "metadata": {
     "editable": true
    },
@@ -1366,7 +1366,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "494b1a28",
+   "id": "43669b68",
    "metadata": {
     "editable": true
    },
@@ -1380,7 +1380,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d20c96cf",
+   "id": "80645c26",
    "metadata": {
     "editable": true
    },
@@ -1392,7 +1392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f81444b",
+   "id": "fb545d6c",
    "metadata": {
     "editable": true
    },
@@ -1403,7 +1403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f81d6764",
+   "id": "e7262e81",
    "metadata": {
     "editable": true
    },
@@ -1416,7 +1416,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "83225daf",
+   "id": "d1fd9937",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1443,7 +1443,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f432b3ff",
+   "id": "c5423473",
    "metadata": {
     "editable": true
    },
@@ -1454,7 +1454,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "04b2ece5",
+   "id": "a34a7650",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1467,7 +1467,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8467ac97",
+   "id": "e218ee6a",
    "metadata": {
     "editable": true
    },
@@ -1481,7 +1481,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "fb24217a",
+   "id": "14933f25",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1494,7 +1494,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95050d99",
+   "id": "fd9a15cb",
    "metadata": {
     "editable": true
    },
@@ -1505,7 +1505,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7daecb54",
+   "id": "61a708f4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1517,7 +1517,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "616c641c",
+   "id": "5903bc37",
    "metadata": {
     "editable": true
    },
@@ -1528,7 +1528,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "ad94a295",
+   "id": "ee9b2868",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1544,7 +1544,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afb8bdc0",
+   "id": "5b698b0f",
    "metadata": {
     "editable": true
    },
@@ -1555,7 +1555,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "d9382131",
+   "id": "57d4cd3a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1569,7 +1569,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81a3e982",
+   "id": "c7a3aaba",
    "metadata": {
     "editable": true
    },
@@ -1590,7 +1590,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f58f6c21",
+   "id": "2eb3f93b",
    "metadata": {
     "editable": true
    },
@@ -1601,7 +1601,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "bb9a3b77",
+   "id": "cfeb8d48",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1654,7 +1654,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c977c2ac",
+   "id": "df5c5eca",
    "metadata": {
     "editable": true
    },
@@ -1665,7 +1665,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "2676b30f",
+   "id": "2d04b51c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1690,7 +1690,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53eb00be",
+   "id": "f5a2b35a",
    "metadata": {
     "editable": true
    },
@@ -1702,7 +1702,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "893ea33c",
+   "id": "89019840",
    "metadata": {
     "editable": true
    },
@@ -1731,7 +1731,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fcfef74e",
+   "id": "a795dfed",
    "metadata": {
     "editable": true
    },
@@ -1756,7 +1756,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40a6072e",
+   "id": "18341dc4",
    "metadata": {
     "editable": true
    },
@@ -1776,7 +1776,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6464d00e",
+   "id": "ae48eec9",
    "metadata": {
     "editable": true
    },
@@ -1803,7 +1803,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f69bee17",
+   "id": "c5187422",
    "metadata": {
     "editable": true
    },
@@ -1816,7 +1816,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae4d66ae",
+   "id": "3f2f8dff",
    "metadata": {
     "editable": true
    },
@@ -1828,7 +1828,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9a60e683",
+   "id": "d016aeaa",
    "metadata": {
     "editable": true
    },
@@ -1839,7 +1839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45315f93",
+   "id": "cbd6bef4",
    "metadata": {
     "editable": true
    },
@@ -1855,7 +1855,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "7fe845e8",
+   "id": "a936912f",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1889,7 +1889,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "049d9edb",
+   "id": "b5c1678e",
    "metadata": {
     "editable": true
    },
@@ -1899,7 +1899,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e098f1e2",
+   "id": "c9a49c01",
    "metadata": {
     "editable": true
    },
@@ -1914,7 +1914,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afe0f097",
+   "id": "b195db22",
    "metadata": {
     "editable": true
    },
@@ -1926,7 +1926,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c4c32c9",
+   "id": "9debef9c",
    "metadata": {
     "editable": true
    },
@@ -1936,7 +1936,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e3af961",
+   "id": "8a997618",
    "metadata": {
     "editable": true
    },
@@ -1952,7 +1952,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "364363ed",
+   "id": "371c1d67",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1969,7 +1969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f85005a3",
+   "id": "a0543264",
    "metadata": {
     "editable": true
    },
@@ -1982,7 +1982,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "47c9afad",
+   "id": "8c7a6aab",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2029,7 +2029,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d522b5b",
+   "id": "add34214",
    "metadata": {
     "editable": true
    },
@@ -2040,7 +2040,7 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "0aed60c8",
+   "id": "6419e441",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2143,7 +2143,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fa165453",
+   "id": "ef995ef5",
    "metadata": {
     "editable": true
    },
@@ -2171,7 +2171,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "734df471",
+   "id": "030d3c0c",
    "metadata": {
     "editable": true
    },
@@ -2206,7 +2206,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6bde2ec",
+   "id": "f43ff3f2",
    "metadata": {
     "editable": true
    },
@@ -2221,7 +2221,7 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "0e49b148",
+   "id": "f1048ea7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2246,7 +2246,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a4397707",
+   "id": "c2e96f53",
    "metadata": {
     "editable": true
    },
@@ -2262,7 +2262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c113b92",
+   "id": "168771fe",
    "metadata": {
     "editable": true
    },
@@ -2274,7 +2274,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18d476bc",
+   "id": "2c3a048c",
    "metadata": {
     "editable": true
    },
@@ -2289,7 +2289,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3cf3b752",
+   "id": "1cf78358",
    "metadata": {
     "editable": true
    },
@@ -2301,7 +2301,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed2af561",
+   "id": "df497fb7",
    "metadata": {
     "editable": true
    },
@@ -2311,7 +2311,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b37a9e65",
+   "id": "a0ee7f44",
    "metadata": {
     "editable": true
    },
@@ -2323,7 +2323,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9775ea0",
+   "id": "117813ee",
    "metadata": {
     "editable": true
    },
@@ -2333,7 +2333,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cecd5fc2",
+   "id": "7fe3c928",
    "metadata": {
     "editable": true
    },
@@ -2345,7 +2345,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52fcc61e",
+   "id": "d9b0cadf",
    "metadata": {
     "editable": true
    },
@@ -2358,7 +2358,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "000d54d2",
+   "id": "d084b963",
    "metadata": {
     "editable": true
    },
@@ -2370,7 +2370,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0fed9be4",
+   "id": "9feed9c7",
    "metadata": {
     "editable": true
    },
@@ -2380,7 +2380,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c61aa7b",
+   "id": "7646db83",
    "metadata": {
     "editable": true
    },
@@ -2392,7 +2392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b390be2f",
+   "id": "70b04ee4",
    "metadata": {
     "editable": true
    },
@@ -2402,7 +2402,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aab8c64c",
+   "id": "fb98b594",
    "metadata": {
     "editable": true
    },
@@ -2414,7 +2414,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "269cff24",
+   "id": "58b6bb60",
    "metadata": {
     "editable": true
    },
@@ -2424,7 +2424,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66e6ecf2",
+   "id": "8792e8b2",
    "metadata": {
     "editable": true
    },
@@ -2436,7 +2436,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33bddc5a",
+   "id": "fd1b7917",
    "metadata": {
     "editable": true
    },
@@ -2446,7 +2446,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e81b738",
+   "id": "9296d406",
    "metadata": {
     "editable": true
    },
@@ -2458,7 +2458,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b182f371",
+   "id": "49a369db",
    "metadata": {
     "editable": true
    },
@@ -2468,7 +2468,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97caf464",
+   "id": "6c1ff393",
    "metadata": {
     "editable": true
    },
@@ -2480,7 +2480,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d44cf34a",
+   "id": "05376dd3",
    "metadata": {
     "editable": true
    },
@@ -2490,7 +2490,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98301664",
+   "id": "9ffe05be",
    "metadata": {
     "editable": true
    },
@@ -2502,7 +2502,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c10a9495",
+   "id": "cf9c3ed2",
    "metadata": {
     "editable": true
    },
@@ -2514,7 +2514,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e55bc871",
+   "id": "4ad52b56",
    "metadata": {
     "editable": true
    },
@@ -2526,7 +2526,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6033356d",
+   "id": "fc7df605",
    "metadata": {
     "editable": true
    },
@@ -2539,7 +2539,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d064973a",
+   "id": "1ad271b5",
    "metadata": {
     "editable": true
    },
@@ -2551,7 +2551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "21607d44",
+   "id": "a7661ef0",
    "metadata": {
     "editable": true
    },
@@ -2561,7 +2561,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55a9f200",
+   "id": "66a608d3",
    "metadata": {
     "editable": true
    },
@@ -2575,7 +2575,7 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "35f99de0",
+   "id": "5538e71a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2672,7 +2672,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5eb9aa4d",
+   "id": "940dadb6",
    "metadata": {
     "editable": true
    },
@@ -2693,7 +2693,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cbdc215",
+   "id": "a6b92ae4",
    "metadata": {
     "editable": true
    },
@@ -2705,7 +2705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a148d669",
+   "id": "e50ebc47",
    "metadata": {
     "editable": true
    },
@@ -2715,7 +2715,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a04efc28",
+   "id": "c10d8931",
    "metadata": {
     "editable": true
    },
@@ -2727,7 +2727,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d004f9af",
+   "id": "414a419a",
    "metadata": {
     "editable": true
    },
@@ -2737,7 +2737,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33d88186",
+   "id": "01dcee36",
    "metadata": {
     "editable": true
    },
@@ -2749,7 +2749,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79a0fcd6",
+   "id": "1460667a",
    "metadata": {
     "editable": true
    },
@@ -2765,7 +2765,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5276fcae",
+   "id": "85a29f10",
    "metadata": {
     "editable": true
    },
@@ -2809,7 +2809,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6071dd24",
+   "id": "6e1cbb1b",
    "metadata": {
     "editable": true
    },
@@ -2821,7 +2821,7 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "c878cffa",
+   "id": "1026aca4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2837,7 +2837,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ae29df1",
+   "id": "4299d593",
    "metadata": {
     "editable": true
    },
@@ -2848,7 +2848,7 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "0c27343f",
+   "id": "f417412e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2866,7 +2866,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd362de3",
+   "id": "6ced6323",
    "metadata": {
     "editable": true
    },
@@ -2877,7 +2877,7 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "1042f631",
+   "id": "f11aa076",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2891,7 +2891,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82185c81",
+   "id": "c20af331",
    "metadata": {
     "editable": true
    },
@@ -2902,7 +2902,7 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "dd4764d2",
+   "id": "c6c96c81",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2915,7 +2915,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b18d348",
+   "id": "f6fb45ce",
    "metadata": {
     "editable": true
    },
@@ -2926,7 +2926,7 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "ad218084",
+   "id": "6f00c28a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2943,7 +2943,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37596ce4",
+   "id": "0abc4366",
    "metadata": {
     "editable": true
    },
@@ -2954,7 +2954,7 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "c64afdcd",
+   "id": "933b907e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2970,7 +2970,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f74d7c0e",
+   "id": "21b8d81c",
    "metadata": {
     "editable": true
    },
@@ -2981,7 +2981,7 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "05f432c4",
+   "id": "dcec4712",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3005,7 +3005,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7eccf967",
+   "id": "e7347e92",
    "metadata": {
     "editable": true
    },
@@ -3016,7 +3016,7 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "e4e2ffd8",
+   "id": "3f276b40",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3029,7 +3029,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "df5c1bb8",
+   "id": "271b8bef",
    "metadata": {
     "editable": true
    },
@@ -3040,7 +3040,7 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "f5103c3e",
+   "id": "99c18370",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3060,7 +3060,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b03da257",
+   "id": "21407961",
    "metadata": {
     "editable": true
    },
@@ -3071,7 +3071,7 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "862a3613",
+   "id": "ee884183",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3114,7 +3114,7 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "28414bfe",
+   "id": "a95605df",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3129,7 +3129,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "423c5193",
+   "id": "c83dad54",
    "metadata": {
     "editable": true
    },
@@ -3139,7 +3139,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40134015",
+   "id": "e80c5346",
    "metadata": {
     "editable": true
    },
@@ -3153,7 +3153,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ea33726",
+   "id": "5bce901a",
    "metadata": {
     "editable": true
    },
@@ -3165,7 +3165,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b20e3c69",
+   "id": "99d8c33b",
    "metadata": {
     "editable": true
    },
@@ -3177,7 +3177,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "86928159",
+   "id": "b4c93930",
    "metadata": {
     "editable": true
    },
@@ -3189,7 +3189,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f876bba",
+   "id": "f9ece246",
    "metadata": {
     "editable": true
    },
@@ -3199,7 +3199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a0f675e",
+   "id": "ebe402c7",
    "metadata": {
     "editable": true
    },
@@ -3211,7 +3211,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b09cb8c",
+   "id": "38dfce7b",
    "metadata": {
     "editable": true
    },
@@ -3221,7 +3221,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d734fd4",
+   "id": "42726abc",
    "metadata": {
     "editable": true
    },
@@ -3233,7 +3233,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7bd3f98e",
+   "id": "1c847fce",
    "metadata": {
     "editable": true
    },
@@ -3244,7 +3244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37d9ae55",
+   "id": "ce34cf9c",
    "metadata": {
     "editable": true
    },
@@ -3256,7 +3256,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "457c49df",
+   "id": "01ce392c",
    "metadata": {
     "editable": true
    },
@@ -3268,7 +3268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72cb8e53",
+   "id": "d2d128e9",
    "metadata": {
     "editable": true
    },
@@ -3278,7 +3278,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5a2f7bf",
+   "id": "e681b2fa",
    "metadata": {
     "editable": true
    },
@@ -3290,7 +3290,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c1d3ae9",
+   "id": "f3029e28",
    "metadata": {
     "editable": true
    },
@@ -3302,7 +3302,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbd16f90",
+   "id": "05e1d64d",
    "metadata": {
     "editable": true
    },
@@ -3312,7 +3312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b112d398",
+   "id": "3266ac10",
    "metadata": {
     "editable": true
    },
@@ -3324,7 +3324,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "02cd55a7",
+   "id": "e918b318",
    "metadata": {
     "editable": true
    },
@@ -3334,7 +3334,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f91ca1c",
+   "id": "80b16165",
    "metadata": {
     "editable": true
    },
@@ -3346,7 +3346,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4c9a1014",
+   "id": "9c5be15b",
    "metadata": {
     "editable": true
    },
@@ -3356,7 +3356,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bbf65400",
+   "id": "ee9004d8",
    "metadata": {
     "editable": true
    },
@@ -3396,7 +3396,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e86aedda",
+   "id": "8f345ab7",
    "metadata": {
     "editable": true
    },
@@ -3413,7 +3413,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5607899f",
+   "id": "922f58d1",
    "metadata": {
     "editable": true
    },
@@ -3436,7 +3436,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee828c1a",
+   "id": "8dafc4c2",
    "metadata": {
     "editable": true
    },
@@ -3453,7 +3453,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8cf44f4b",
+   "id": "b4e09621",
    "metadata": {
     "editable": true
    },
@@ -3472,7 +3472,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41c01ec3",
+   "id": "137c6cf4",
    "metadata": {
     "editable": true
    },
@@ -3483,7 +3483,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2abae461",
+   "id": "dc25a406",
    "metadata": {
     "editable": true
    },
@@ -3495,7 +3495,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b9091ee",
+   "id": "900ce3c9",
    "metadata": {
     "editable": true
    },
@@ -3513,7 +3513,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e9c2ef56",
+   "id": "b1afaf31",
    "metadata": {
     "editable": true
    },
@@ -3529,7 +3529,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f85233fa",
+   "id": "07b0ca44",
    "metadata": {
     "editable": true
    },
@@ -3541,7 +3541,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "61b8cabc",
+   "id": "22a680da",
    "metadata": {
     "editable": true
    },
@@ -3551,7 +3551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b057486",
+   "id": "f509aae3",
    "metadata": {
     "editable": true
    },
@@ -3566,7 +3566,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6274419d",
+   "id": "e0c20dba",
    "metadata": {
     "editable": true
    },
@@ -3578,7 +3578,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "213c9ae6",
+   "id": "c8bb06b6",
    "metadata": {
     "editable": true
    },
@@ -3588,7 +3588,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6a9de3b7",
+   "id": "29ca64d1",
    "metadata": {
     "editable": true
    },
@@ -3600,7 +3600,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7ce3387",
+   "id": "af1e6533",
    "metadata": {
     "editable": true
    },
@@ -3610,7 +3610,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98ff9d86",
+   "id": "b0a6fa58",
    "metadata": {
     "editable": true
    },
@@ -3622,7 +3622,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b327be5",
+   "id": "eadb81a6",
    "metadata": {
     "editable": true
    },
@@ -3634,7 +3634,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c1a9126",
+   "id": "fccff518",
    "metadata": {
     "editable": true
    },
@@ -3649,7 +3649,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c92214f",
+   "id": "cac0aa1e",
    "metadata": {
     "editable": true
    },
@@ -3660,7 +3660,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "534f2e5f",
+   "id": "8dd99324",
    "metadata": {
     "editable": true
    },
@@ -3680,7 +3680,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b60adf4",
+   "id": "881a015f",
    "metadata": {
     "editable": true
    },
@@ -3692,7 +3692,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8a70724c",
+   "id": "ac543f7f",
    "metadata": {
     "editable": true
    },
@@ -3702,7 +3702,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "428c905b",
+   "id": "4b3b7360",
    "metadata": {
     "editable": true
    },
@@ -3714,7 +3714,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "874e40ee",
+   "id": "42df2f58",
    "metadata": {
     "editable": true
    },
@@ -3743,7 +3743,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35f9527c",
+   "id": "7154cacc",
    "metadata": {
     "editable": true
    },
@@ -3770,7 +3770,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fdd5aa47",
+   "id": "d6023971",
    "metadata": {
     "editable": true
    },
@@ -3781,7 +3781,7 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "01e4de19",
+   "id": "a89decec",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -3821,7 +3821,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4de121b",
+   "id": "ba244752",
    "metadata": {
     "editable": true
    },
@@ -3838,7 +3838,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ca8d39b",
+   "id": "20d7027f",
    "metadata": {
     "editable": true
    },
@@ -3861,7 +3861,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdcff808",
+   "id": "f0a99200",
    "metadata": {
     "editable": true
    },
@@ -3875,7 +3875,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28074411",
+   "id": "b6dd3432",
    "metadata": {
     "editable": true
    },
@@ -3894,7 +3894,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ea2fc19",
+   "id": "c13a39c4",
    "metadata": {
     "editable": true
    },
@@ -3904,7 +3904,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1fee3ce",
+   "id": "2f25e533",
    "metadata": {
     "editable": true
    },
@@ -3916,7 +3916,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd762673",
+   "id": "bfcfb048",
    "metadata": {
     "editable": true
    },
@@ -3930,7 +3930,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f20cf9e9",
+   "id": "56838f49",
    "metadata": {
     "editable": true
    },
@@ -3942,7 +3942,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85368feb",
+   "id": "cc22f743",
    "metadata": {
     "editable": true
    },
@@ -3952,7 +3952,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8770954",
+   "id": "eb5cf710",
    "metadata": {
     "editable": true
    },
@@ -3964,7 +3964,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a270875",
+   "id": "dc0695c6",
    "metadata": {
     "editable": true
    },
@@ -3981,7 +3981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "680b5723",
+   "id": "13f4a1f2",
    "metadata": {
     "editable": true
    },
@@ -3991,7 +3991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ccca506",
+   "id": "8cd7f951",
    "metadata": {
     "editable": true
    },
@@ -4007,7 +4007,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e79a5cc",
+   "id": "5e2da62c",
    "metadata": {
     "editable": true
    },
@@ -4017,7 +4017,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27b3b9fe",
+   "id": "3764dc21",
    "metadata": {
     "editable": true
    },
@@ -4033,7 +4033,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a351c847",
+   "id": "0c2a3cc3",
    "metadata": {
     "editable": true
    },
@@ -4043,7 +4043,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa000d05",
+   "id": "e26157fd",
    "metadata": {
     "editable": true
    },
@@ -4059,7 +4059,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d519658",
+   "id": "86faee8a",
    "metadata": {
     "editable": true
    },
@@ -4069,7 +4069,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0870c7af",
+   "id": "298ed70f",
    "metadata": {
     "editable": true
    },
@@ -4086,7 +4086,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "084c61ee",
+   "id": "82700ca9",
    "metadata": {
     "editable": true
    },
@@ -4098,7 +4098,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3d4ccfa",
+   "id": "0936050b",
    "metadata": {
     "editable": true
    },
@@ -4110,7 +4110,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "59ba92d2",
+   "id": "5cf9c415",
    "metadata": {
     "editable": true
    },
@@ -4122,7 +4122,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5e2f754",
+   "id": "383df96d",
    "metadata": {
     "editable": true
    },
@@ -4132,7 +4132,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cb23cb1",
+   "id": "61a360f0",
    "metadata": {
     "editable": true
    },
@@ -4144,7 +4144,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c3ffc6f",
+   "id": "0ae1f6d7",
    "metadata": {
     "editable": true
    },
@@ -4156,7 +4156,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "786439ab",
+   "id": "0377a098",
    "metadata": {
     "editable": true
    },
@@ -4168,7 +4168,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51d4bb29",
+   "id": "b8b7fadd",
    "metadata": {
     "editable": true
    },
@@ -4178,7 +4178,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79bdc7d5",
+   "id": "9b10c412",
    "metadata": {
     "editable": true
    },
@@ -4190,7 +4190,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a48d61d1",
+   "id": "4a8b1eae",
    "metadata": {
     "editable": true
    },
@@ -4200,7 +4200,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c8b52bf",
+   "id": "28eb8108",
    "metadata": {
     "editable": true
    },
@@ -4212,7 +4212,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d902463f",
+   "id": "7dfc4919",
    "metadata": {
     "editable": true
    },
@@ -4228,7 +4228,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "955c3dda",
+   "id": "b0623f5e",
    "metadata": {
     "editable": true
    },
@@ -4240,7 +4240,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af6d057f",
+   "id": "7c0a554d",
    "metadata": {
     "editable": true
    },
@@ -4252,7 +4252,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1200c060",
+   "id": "eb6957af",
    "metadata": {
     "editable": true
    },
@@ -4262,7 +4262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18782e94",
+   "id": "cd8cdf7b",
    "metadata": {
     "editable": true
    },
@@ -4274,7 +4274,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f51193b6",
+   "id": "7479824a",
    "metadata": {
     "editable": true
    },
@@ -4285,7 +4285,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "293c5f44",
+   "id": "0f5e31a1",
    "metadata": {
     "editable": true
    },
@@ -4297,7 +4297,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e5cd6b1",
+   "id": "0154706c",
    "metadata": {
     "editable": true
    },
@@ -4307,7 +4307,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79a79025",
+   "id": "204300e7",
    "metadata": {
     "editable": true
    },
@@ -4319,7 +4319,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9bbddbf2",
+   "id": "0c286642",
    "metadata": {
     "editable": true
    },
@@ -4329,7 +4329,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a80c23e",
+   "id": "6e86269b",
    "metadata": {
     "editable": true
    },
@@ -4341,7 +4341,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5af565e",
+   "id": "0239d27b",
    "metadata": {
     "editable": true
    },
@@ -4352,7 +4352,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dd518e36",
+   "id": "d28c673d",
    "metadata": {
     "editable": true
    },
@@ -4364,7 +4364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "082bcee9",
+   "id": "a46000f4",
    "metadata": {
     "editable": true
    },
@@ -4382,7 +4382,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdbc4fa9",
+   "id": "5af469fb",
    "metadata": {
     "editable": true
    },
@@ -4398,7 +4398,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33adf71a",
+   "id": "cbf850f2",
    "metadata": {
     "editable": true
    },
@@ -4410,7 +4410,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3794d9a9",
+   "id": "46754f34",
    "metadata": {
     "editable": true
    },
@@ -4422,7 +4422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55e25f81",
+   "id": "912e6438",
    "metadata": {
     "editable": true
    },
@@ -4434,7 +4434,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47657755",
+   "id": "385e44a5",
    "metadata": {
     "editable": true
    },
@@ -4447,7 +4447,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bfdc6c11",
+   "id": "f7ea1538",
    "metadata": {
     "editable": true
    },
@@ -4463,7 +4463,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b10b21d6",
+   "id": "4871a670",
    "metadata": {
     "editable": true
    },
@@ -4477,7 +4477,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "127632f4",
+   "id": "096bfb4e",
    "metadata": {
     "editable": true
    },
@@ -4487,7 +4487,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ddd29440",
+   "id": "8bb5961a",
    "metadata": {
     "editable": true
    },
@@ -4499,7 +4499,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f1426a9",
+   "id": "d5fc78b2",
    "metadata": {
     "editable": true
    },
@@ -4509,7 +4509,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8af09cbd",
+   "id": "8294b010",
    "metadata": {
     "editable": true
    },
@@ -4521,7 +4521,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbb24d4a",
+   "id": "0d740546",
    "metadata": {
     "editable": true
    },
@@ -4531,7 +4531,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "108264c8",
+   "id": "bfa7cec5",
    "metadata": {
     "editable": true
    },
@@ -4545,7 +4545,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1df71171",
+   "id": "bd250d44",
    "metadata": {
     "editable": true
    },
@@ -4562,7 +4562,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94f43fa7",
+   "id": "5c715a9c",
    "metadata": {
     "editable": true
    },
@@ -4578,7 +4578,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35a9e26e",
+   "id": "530e44f9",
    "metadata": {
     "editable": true
    },
@@ -4590,7 +4590,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "570d029f",
+   "id": "8963de47",
    "metadata": {
     "editable": true
    },
@@ -4603,7 +4603,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2920ebfe",
+   "id": "57dfa03b",
    "metadata": {
     "editable": true
    },
@@ -4617,7 +4617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "508ef7cd",
+   "id": "03fee314",
    "metadata": {
     "editable": true
    },
@@ -4627,7 +4627,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47eaf212",
+   "id": "af46ee0c",
    "metadata": {
     "editable": true
    },
@@ -4640,7 +4640,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c88297fa",
+   "id": "52cc3bc6",
    "metadata": {
     "editable": true
    },
@@ -4659,7 +4659,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0eb1beac",
+   "id": "c3a0202f",
    "metadata": {
     "editable": true
    },
@@ -4671,7 +4671,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8055f42",
+   "id": "7b244f95",
    "metadata": {
     "editable": true
    },
@@ -4683,7 +4683,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18b7ca49",
+   "id": "664f60f6",
    "metadata": {
     "editable": true
    },
@@ -4693,7 +4693,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf084294",
+   "id": "790a3b58",
    "metadata": {
     "editable": true
    },
@@ -4705,7 +4705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2d914bb",
+   "id": "9c9f2d45",
    "metadata": {
     "editable": true
    },
@@ -4718,7 +4718,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28d0307c",
+   "id": "faf5ab08",
    "metadata": {
     "editable": true
    },
@@ -4737,7 +4737,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1022b8b",
+   "id": "59ec07d7",
    "metadata": {
     "editable": true
    },
@@ -4747,7 +4747,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9813aced",
+   "id": "3013ec51",
    "metadata": {
     "editable": true
    },
@@ -4766,7 +4766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "624e1592",
+   "id": "09868daf",
    "metadata": {
     "editable": true
    },
@@ -4784,7 +4784,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e69238f",
+   "id": "f4ad3314",
    "metadata": {
     "editable": true
    },
@@ -4798,7 +4798,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1adcab4e",
+   "id": "bea84db1",
    "metadata": {
     "editable": true
    },
@@ -4813,7 +4813,7 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "d7a3937b",
+   "id": "7406b721",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4834,7 +4834,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7668b290",
+   "id": "e62a10c6",
    "metadata": {
     "editable": true
    },
@@ -4851,7 +4851,7 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "22a46238",
+   "id": "e99810d7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4883,7 +4883,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d60df16",
+   "id": "b6753d67",
    "metadata": {
     "editable": true
    },
@@ -4897,7 +4897,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cce022a",
+   "id": "d7e5de4d",
    "metadata": {
     "editable": true
    },
@@ -4910,7 +4910,7 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "ce383181",
+   "id": "b88ed80b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4935,7 +4935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5af761f5",
+   "id": "97b688c8",
    "metadata": {
     "editable": true
    },
@@ -4945,7 +4945,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "43c34a93",
+   "id": "bda65277",
    "metadata": {
     "editable": true
    },
@@ -4956,7 +4956,7 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "98ae9abd",
+   "id": "9a2f0b3a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5010,7 +5010,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55b95089",
+   "id": "36f0b362",
    "metadata": {
     "editable": true
    },
@@ -5027,7 +5027,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "58edec27",
+   "id": "9cc9395a",
    "metadata": {
     "editable": true
    },
@@ -5039,7 +5039,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91cf5408",
+   "id": "2cb29d31",
    "metadata": {
     "editable": true
    },
@@ -5051,7 +5051,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9628d939",
+   "id": "37266bbd",
    "metadata": {
     "editable": true
    },
@@ -5061,7 +5061,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d408e7f5",
+   "id": "fd11309e",
    "metadata": {
     "editable": true
    },
@@ -5078,7 +5078,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1266b478",
+   "id": "5dd9ff49",
    "metadata": {
     "editable": true
    },
@@ -5088,7 +5088,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e22633d5",
+   "id": "10932a11",
    "metadata": {
     "editable": true
    },
@@ -5103,7 +5103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "594fba0d",
+   "id": "87223b22",
    "metadata": {
     "editable": true
    },
@@ -5113,7 +5113,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d70023fd",
+   "id": "b62507a6",
    "metadata": {
     "editable": true
    },
@@ -5127,7 +5127,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52dc44dd",
+   "id": "b55725a2",
    "metadata": {
     "editable": true
    },
@@ -5139,7 +5139,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2668fc5",
+   "id": "cad5ecee",
    "metadata": {
     "editable": true
    },
@@ -5151,7 +5151,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "abcb6d33",
+   "id": "e9c5b7ad",
    "metadata": {
     "editable": true
    },
@@ -5163,7 +5163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a224487f",
+   "id": "adf41d77",
    "metadata": {
     "editable": true
    },
@@ -5173,7 +5173,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d2e0786",
+   "id": "c7c61baf",
    "metadata": {
     "editable": true
    },
@@ -5185,7 +5185,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1175c0c5",
+   "id": "e7b1cec7",
    "metadata": {
     "editable": true
    },
@@ -5195,7 +5195,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bbfe6895",
+   "id": "2ba7eb4a",
    "metadata": {
     "editable": true
    },
@@ -5212,7 +5212,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e1fd41d",
+   "id": "68bed668",
    "metadata": {
     "editable": true
    },
@@ -5222,7 +5222,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ac7e61a",
+   "id": "9e799242",
    "metadata": {
     "editable": true
    },
@@ -5234,7 +5234,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "779f099c",
+   "id": "bd113755",
    "metadata": {
     "editable": true
    },
@@ -5244,7 +5244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fe58de11",
+   "id": "0ac63d25",
    "metadata": {
     "editable": true
    },
@@ -5256,7 +5256,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6f9244dc",
+   "id": "06a3a6a0",
    "metadata": {
     "editable": true
    },
@@ -5270,7 +5270,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0dc4a97b",
+   "id": "c4207b8e",
    "metadata": {
     "editable": true
    },
@@ -5282,7 +5282,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c85e169b",
+   "id": "ecc01bf4",
    "metadata": {
     "editable": true
    },
@@ -5296,7 +5296,7 @@
     "encode from the columns of $\\boldsymbol{X}$. \n",
     "\n",
     "Note that these are also the eigenvectors and eigenvalues of the\n",
-    "Hessian matrix.\n",
+    "Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.\n",
     "\n",
     "If we now recall the definition of the covariance matrix (not using\n",
     "Bessel's correction) we have"
@@ -5304,7 +5304,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d9c670c9",
+   "id": "762ad728",
    "metadata": {
     "editable": true
    },
@@ -5316,7 +5316,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "19f3422e",
+   "id": "07987964",
    "metadata": {
     "editable": true
    },
@@ -5331,7 +5331,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73ba196c",
+   "id": "f2a7f704",
    "metadata": {
     "editable": true
    },
@@ -5343,7 +5343,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e045ed0",
+   "id": "aa2f5f3b",
    "metadata": {
     "editable": true
    },
@@ -5355,7 +5355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73a040c2",
+   "id": "f35a10a9",
    "metadata": {
     "editable": true
    },
@@ -5365,7 +5365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad598099",
+   "id": "cf2795e3",
    "metadata": {
     "editable": true
    },
@@ -5377,7 +5377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72c59cf8",
+   "id": "3d5180ae",
    "metadata": {
     "editable": true
    },
@@ -5387,7 +5387,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d3ea89e",
+   "id": "d39a992a",
    "metadata": {
     "editable": true
    },
@@ -5399,7 +5399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7180582d",
+   "id": "7167d57e",
    "metadata": {
     "editable": true
    },
@@ -5409,7 +5409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9993e038",
+   "id": "c5c07ca6",
    "metadata": {
     "editable": true
    },
@@ -5421,7 +5421,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb3035aa",
+   "id": "ffd917e2",
    "metadata": {
     "editable": true
    },
@@ -5438,7 +5438,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a561bcdb",
+   "id": "99d25bf3",
    "metadata": {
     "editable": true
    },
@@ -5451,7 +5451,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "268ae34a",
+   "id": "70a97a49",
    "metadata": {
     "editable": true
    },
@@ -5463,7 +5463,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc03d5dc",
+   "id": "acad4821",
    "metadata": {
     "editable": true
    },
@@ -5473,7 +5473,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ea893df",
+   "id": "7c7245b1",
    "metadata": {
     "editable": true
    },
@@ -5486,7 +5486,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ef4a051",
+   "id": "4d48256d",
    "metadata": {
     "editable": true
    },
@@ -5496,7 +5496,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e250ee2f",
+   "id": "b97689ae",
    "metadata": {
     "editable": true
    },
@@ -5508,7 +5508,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac02490b",
+   "id": "a1e6d358",
    "metadata": {
     "editable": true
    },
@@ -5521,7 +5521,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aeb823e8",
+   "id": "23c512d5",
    "metadata": {
     "editable": true
    },
@@ -5534,7 +5534,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "185ff85c",
+   "id": "9da70468",
    "metadata": {
     "editable": true
    },
@@ -5546,7 +5546,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1419c4ca",
+   "id": "741726c2",
    "metadata": {
     "editable": true
    },
@@ -5558,7 +5558,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9773136b",
+   "id": "a44d203e",
    "metadata": {
     "editable": true
    },
@@ -5568,7 +5568,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8b694dc",
+   "id": "09bbc4ac",
    "metadata": {
     "editable": true
    },
@@ -5581,7 +5581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88371d47",
+   "id": "37cb206c",
    "metadata": {
     "editable": true
    },
@@ -5593,7 +5593,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "171b5be4",
+   "id": "87fe1756",
    "metadata": {
     "editable": true
    },
@@ -5605,7 +5605,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e835b14",
+   "id": "44fc5198",
    "metadata": {
     "editable": true
    },
@@ -5617,7 +5617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17531870",
+   "id": "b0fa981e",
    "metadata": {
     "editable": true
    },
@@ -5629,7 +5629,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e3ef48e",
+   "id": "80231e43",
    "metadata": {
     "editable": true
    },
@@ -5643,7 +5643,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66166180",
+   "id": "15e51237",
    "metadata": {
     "editable": true
    },
@@ -5655,7 +5655,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a58eac00",
+   "id": "dd75aca5",
    "metadata": {
     "editable": true
    },
@@ -5665,7 +5665,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27eed264",
+   "id": "9cb2ef33",
    "metadata": {
     "editable": true
    },
@@ -5677,7 +5677,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dde3eff1",
+   "id": "fad95084",
    "metadata": {
     "editable": true
    },
@@ -5689,7 +5689,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc32ef71",
+   "id": "230a6ff7",
    "metadata": {
     "editable": true
    },
@@ -5701,7 +5701,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f71d1884",
+   "id": "85a1a5d1",
    "metadata": {
     "editable": true
    },
@@ -5713,7 +5713,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a461218a",
+   "id": "ff8d6799",
    "metadata": {
     "editable": true
    },
@@ -5725,7 +5725,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "417dd2f5",
+   "id": "827e177b",
    "metadata": {
     "editable": true
    },
@@ -5744,7 +5744,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb40cac4",
+   "id": "aca28922",
    "metadata": {
     "editable": true
    },
@@ -5756,7 +5756,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0220204c",
+   "id": "e08ee7a5",
    "metadata": {
     "editable": true
    },
@@ -5766,7 +5766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5f1bd6c9",
+   "id": "5f5b2dc5",
    "metadata": {
     "editable": true
    },
@@ -5778,7 +5778,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17072bfc",
+   "id": "d5030a07",
    "metadata": {
     "editable": true
    },
@@ -5788,7 +5788,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2c11fad3",
+   "id": "3b4a0fce",
    "metadata": {
     "editable": true
    },
@@ -5800,7 +5800,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c609b962",
+   "id": "67619670",
    "metadata": {
     "editable": true
    },
@@ -5812,7 +5812,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9795acef",
+   "id": "a0188c70",
    "metadata": {
     "editable": true
    },
@@ -5828,7 +5828,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2219ef4",
+   "id": "2b542ab9",
    "metadata": {
     "editable": true
    },
@@ -5840,7 +5840,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db852bdc",
+   "id": "c27c8f59",
    "metadata": {
     "editable": true
    },
@@ -5852,7 +5852,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7af957bf",
+   "id": "2b68e82e",
    "metadata": {
     "editable": true
    },
@@ -5862,7 +5862,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3b9a6dcb",
+   "id": "af6db7ba",
    "metadata": {
     "editable": true
    },
@@ -5874,7 +5874,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fe99d76",
+   "id": "69a927de",
    "metadata": {
     "editable": true
    },
@@ -5884,7 +5884,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95c258e2",
+   "id": "f9362946",
    "metadata": {
     "editable": true
    },
@@ -5896,7 +5896,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "61e1baef",
+   "id": "1999617c",
    "metadata": {
     "editable": true
    },
@@ -5913,7 +5913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "706bad69",
+   "id": "05da6504",
    "metadata": {
     "editable": true
    },
@@ -5925,7 +5925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff63d81f",
+   "id": "bf894d8e",
    "metadata": {
     "editable": true
    },
@@ -5937,7 +5937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66436c5d",
+   "id": "b0e2eb07",
    "metadata": {
     "editable": true
    },
@@ -5947,7 +5947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bb26a2e",
+   "id": "b4b83749",
    "metadata": {
     "editable": true
    },
@@ -5959,7 +5959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "87a71dc0",
+   "id": "f335a39d",
    "metadata": {
     "editable": true
    },
@@ -5969,7 +5969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a9ef08dc",
+   "id": "47a66a91",
    "metadata": {
     "editable": true
    },
@@ -5981,7 +5981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8ebfe39",
+   "id": "f6132801",
    "metadata": {
     "editable": true
    },
@@ -5991,7 +5991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3acea6b",
+   "id": "61e7e5b8",
    "metadata": {
     "editable": true
    },
@@ -6003,7 +6003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "24f8649f",
+   "id": "9f52d6a6",
    "metadata": {
     "editable": true
    },
@@ -6013,7 +6013,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2af184ea",
+   "id": "c4f8cae2",
    "metadata": {
     "editable": true
    },
@@ -6025,7 +6025,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "257f939f",
+   "id": "00e45c65",
    "metadata": {
     "editable": true
    },
diff --git a/doc/src/week35/make.sh b/doc/src/week35/make.sh
index 4722a0918..ab39152ee 100755
--- a/doc/src/week35/make.sh
+++ b/doc/src/week35/make.sh
@@ -49,6 +49,19 @@ system doconce split_html $html.html --method=split --pagination --nav_button=bo
 # IPython notebook
 system doconce format ipynb $name $opt
 
+# Ordinary plain LaTeX document
+rm -f *.aux  # important after beamer
+system doconce format pdflatex $name --minted_latex_style=trac --latex_admon=paragraph $opt
+system doconce ptex2tex $name envir=minted
+# Add special packages
+doconce subst "% Add user's preamble" "\g<1>\n\\usepackage{simplewick}" $name.tex
+doconce replace 'section{' 'section*{' $name.tex
+pdflatex -shell-escape $name
+pdflatex -shell-escape $name
+mv -f $name.pdf ${name}-minted.pdf
+cp $name.tex ${name}-plain-minted.tex
+
+
 
 # Publish
 dest=../../pub
diff --git a/doc/src/week35/week35.do.txt b/doc/src/week35/week35.do.txt
index 47e632f4b..bf9968c6d 100644
--- a/doc/src/week35/week35.do.txt
+++ b/doc/src/week35/week35.do.txt
@@ -2561,7 +2561,7 @@ encode from the columns of $\bm{X}$.
 
 
 Note that these are also the eigenvectors and eigenvalues of the
-Hessian matrix.
+Hessian matrix. Note also that the Hessian matrix we are discussing here is from a cost function defined by the  mean squared error only.
 
 If we now recall the definition of the covariance matrix (not using
 Bessel's correction) we have