From 3226d2a308a7c7eb8afe17840736161c9d06fd5b Mon Sep 17 00:00:00 2001 From: Kevin Zhang Date: Tue, 15 Mar 2016 19:50:53 -0400 Subject: [PATCH] I have finished Machine Learning ToolBox, 6/5 --- 10_Trials.png | Bin 0 -> 30277 bytes 5000_Trials.png | Bin 0 -> 29786 bytes Questions.txt | 11 +++++++++++ learning_curve.py | 29 +++++++++++++++++++++++++++-- 4 files changed, 38 insertions(+), 2 deletions(-) create mode 100644 10_Trials.png create mode 100644 5000_Trials.png create mode 100644 Questions.txt diff --git a/10_Trials.png b/10_Trials.png new file mode 100644 index 0000000000000000000000000000000000000000..12857669be345f6df3268fdc9bd13df68aa85ace GIT binary patch literal 30277 zcmeFZbyQW++b)VCAZ<{BfRwOlF=((rHXyMF(~n@50}A$GP{O^WA^${qHyi1KE4UTywthJkR^i^+rYM9ytj;2_7CEIa=;61`iLP z7Z2~G$!S9PWNkH-3x1uly^U5s4gXwEo4kgKHWyfJ#Ui=ig5&qr8 zvZJx1Dz9+(a`3;-cr7jXo4t;YGys056qy=@z;CKTUf$#5B79}wH>N)qhaCM@hlU0Y zM!#sTVTIo)OYQ%C^8dFJW-9$`uq-+(jOyI^^C*o>x|ef*O!v1}_BMLVf2FI z=J-NBoV$)AQnzL*!6Ux*4F@dS6C7^dzu&9=*Slc$yOs%i1k(~;#s!p1>W#L~B%V=*HO6^H+ zE=NX2hTU|BQTNK@)(>CpW-xy;weP$-sl8P(`}>O;41|VP3pdyE;ri208d>y_2JWH) z72A&jry{|ER)y|qZ5nl^pu@OSz3dnMnu-l(sB!+u)@$xBw#{?ZefW^RIZ`0qX>Bq( zklCUCMb{@)?{0k;^3soRa=rsigqv2b2{9UtE`9&8>+=Ir&s2rT$2&#O`wC8|q{xK~ zv{9olJ_a5K;W?FuVlltuVf;TI8TI<-=U;0IL*@0Y#5HtwcILYF|GdY1KU&B%O47wX zZHz(K(&Pu0gPomye&s8if<5V5LviK-0SQ&2S$jO$MUmjWrOJeCz0zFsUzaf$Oi#&6 zo(mT)xWw+A#90oA{mIga3_vD4Y#>l_Qwx52aK_{2Fjy{~f@cwIEDSfE^}KXf-rbmM zm~4%?AYy&VZEuqx(X=_jZno>qNUeWpR8-W&7+j|zBR#(9@3*IUBaGl#C|+uAb;H3j zr-+C2cC%!Q{UZDs*;x)XEbx#ME-RFt66$%Vecp_i`XjUnupFL&aM zYTcynt&G-Xs3sHQk<#!E$2km+d~IOrn;OGnv7a<^2CMyp5;3XrJJI`;(xLzNn<@O+ z*9}wS<=yKjbF%$#)g3>c+>sGSCj7rJ+6C8 zt^Qe^*mG;pC8*eT3X`tHC?q7bJszs;xIN-uJpD1CXvB}9##IMa6cZ2gM+r8bqMRVL zKGz*Y&Tu0*EbM#Hi!q`1Mc*G?dGu8)t^5HAEq}|?obq~nN{Ona$|I$37Qg9WwS)&9 z$Fe`NL2NT`hY^k}*HW4-4_CXC^RM~R>JP(Dquu!E?iYWtD!^X$Q zactii|5s0YPUz5;Jan|ii-7c#L8a8%RJ+6K2RNB&!l7h-xe$s(gV)yE5o9CmtM06k7GP861>VrjVAPlbq=n z<>CyC|4w^+KC9W(^p6D2261Ps@Nt%hE4K z+{5d^mqY_;$CWz6yA$D>!@13uSXkywnoxnb`Pvk8D3|KTQwx8;HQSY`r7LCXl}127 zSzP%FA!ZC$OOgEK=f~*4NM3Cl%~!BeofQY$Z2dN*v93aj2^7lG}EP8r3xU6K#Z|0TaiU#eEoZd3zE*)a>_U9A;sMboQyyQ z$fq;>iYQT@nojEC?k4%=KL#F>7wxrrX2KZC*q<>&*824D+pJ|nGo-P({rE1(IfaAH z0nGxHu}OFQPpaSyZxNEy-<6k_Z##ut&vV_*@z7~{NSaP><|qE{`m5wX67gu87+(&e z)_BPn8or0tgHBT~23~f*fM|Kuc2aS7eWn(MSG>1aS{uj(Xirl}$gnfT@Xe?|rB5KE zQ5BxZ%6C{7-v3H$$z1^S^h)xgW^gzi$e2{0>IkJ&m4fi$jcnMZ;8I@H2<~X$>02$?C^R7JcW`o3|A8wHJ;(p7TWIp#zVz_ z(O#&IjkMW4O5_Er+wOXjL8be%9^9*x6m~GOdwZJ;4g;Jt0cQj10OI$&oZp?xNx$t& zvVXATk^ZzhdmsK*&(@7TJlL~cYZdli(SW<$&U?utv16j5VLyMGAHQ^hhD()o-sG(r z@db}VzpNtMnsdX>+LX9IFn|fCnHfO~s(xEa2$neirU8fApZEOZc+Ga=_+3PhBhaF( zZ1|UzDJDPJ&77Qy#cz%vi1d^x&*a)WCKzE0Qu}Axq!{?i0ofW2mKjEmazCh1N-L{J z!fwj5wVkPsl9wtP1(v=uzeW}cy(iwLdK)3pvXftt$q6OQ3hwOW_|c6+3Qhfg`0|^k|=?a)CH2AR#lc| z193R?^xlYnOWk;0yVnkl-Nelqg=-;`jf z?<>Z`ScU$%yE_5L1ESd9zp5C2F)XZb$WM!`O`190jplFuijcsB!SR#@KkGedRdyD> zAM_gX@V9My#ToC}%{|%>KoXXpOx4MWkCMw&~SHbAJQQvsx zIs1DgLMQQ#|8P5YvlX$ou=|g$Y)`Y%Ni*p?5x8%k;MVlB92kDflc>QbCwE#rHLUP> zIVf()%HrOPZLd@>^jWc7IV)yQCf}5i{t%OL=h!sGZeF;6b9|wqQvcqYnkUh9$FOss zTC*zJjL;=rPR#E3sSm;;2=Dk4a!dpWB-+gw?u?iv_{zRd3?9l%c{b&t0gkh0G^;+{ zMSR1G;)adux@ytzNiJQHc@s?j@vLu-b{iyV3OMeXKlwuz@4>{aep);{%;R``n}&d4 z<_wHBEF5Q1(?4s8*D;p1Vo~5TM{>&kdyC$HTG#?TeMytdl$+mD5#B@C`r-Io&dBF4 zhKsrY8>YJ{Da3i_)iH<1G?rECv*Y*Ea_CpdL4K4{rz1EcsQ3klL)p%@VXVQXG#_Yg6~2BfgjetT#}%hlLd4At}dd|pmacN#1OW{+g10W&fnmI-=xnB@{Av?VM-~GW586G{Nk06 zd@ICz!cw((xj2qoX8yEca-Zv1SKjtL$7H>qFL_gLB|Y4XZ&#d3lmIZ{ASxXuJbDF66$y?IxA|VyvEu zOT{p#aAU4}>b5f)n_KYg!nJ3obIJ*g8*0>)2^en3V3;n9;o{nVwOyiCpmHBO(-Xm`^JK70G(Fy#d!jkAeP$ZVZfd^oINiz7 zLpl+vJS^ZrEFQvc+6r)0Elm-k=7p5Bv`$z!Jo@Vv-$BKh`Td2KQOqu}im71qzP$Y3 zg`Q8U$vqWr;()k*{OpIznfBc%TDUd1b=f&Qt;-2 zB!TtC0hdYx@&5tmmUV~!U`LX&n5OJc%70osgz7m+XfWlE#R_2cgFEjA z_?j|XbZ6hUu;2!|^-Ch6E`SzaCGTHd&Ci&Ssa)em-zt07j#hqhF3s%8PF5 z77`l%!RZ}dMSp`VLO@B8Ogx;*P5S`jRP9C3m17{Ca`)#*)v{E+`7giL7~!i%H9m?B z_X01XA3b6P`J;cz*7fLM3#Q6fL7+UWGgVTk6^i0{|LI755{Ld1kP)mZ$r~=7 zx93JTx#^#~3>VWb64c6dto1XL!A0;Pvp0fdixiQNkhAj{HuV=&K2z~(8ES{HBSH7Y z=#qzjwqBAN=l1fQPr9P>cd`F))CD|ixlUX`x#^0^^9|}chOjT?Gmc&3bCGxtJ$SBN^IyAzH`2&U@_5?X&{UW zHt$hG*adA|s_+p=$uZ;%Ug*tmo?23Yo40QtKby=)oUX&b%l!Q%M`v$Ba>o&0T8MhG zX?s+lDRV#gtWxHzSs{j;w-f}tbHkoj zVwX$eP~@8VIeU6^lQ?T(=9N<}U)4XUyb2Jgi29OK@!`Q2jT6>~J5y`J-jsd}O4zWa zmIO+@lB%IYLg4`_iEdBBis}s#rHsC4l>;1ONEmxQ4^Q}}Ij#*l2+y|S&1)Q;HUP$D?j!r^k{u(xHOUBY?A|+I56ogw=h(3stA_&Ej zK(Se_$L;a0D-F!dHn-6jb%-YU&q;krYki2TmC>C^Z~9M@Rv8?w(xxfJHCa_2$U@-) zN)c&}E2BmYpp|LK657oX2GG{d_YQ}l(M?Pt3`RS7V8b9PG(v5nr0*OYW||IM=V!9f z_tT#Yq+vW%j3HdS0ki^-LGp^e@#Ykru;s;j%x>2p|D}VF)bFxX&cYGKF4Nl*ZQb|0 zdZCF2dHSE{z@{46f?x*QvCHWT-n0VxEx$DlS`ip9P;wn43klH31q901F|W}aXw|$& z1o>8!_dir6-a_Vk`psRVo%LVJ=6wav(~OaMo|%~`+xVlS_~F_cP}W|6PISd}dpQ^* zkNx;~?QzjMhD(ng$c+~P;^#lXq>=i7lGM()VgpDXvRMzmiA=@X;&Ex=E&*UL`uS1D z=q?Of5hi8!6pv=j_>WuWfIlkbs3O+a?Lg}&m`nK8*{M}*!(kTpQX_5eL8exSf%^_e z;TRgrI{k{sD>b0u-7EU*h+qGtep6%9|DwT^UNlhbp*4^6;Ir-Hywz;H-B zU0CET4&xed*9fIkz)MQYKOU~B&%(#|9>7^B{9OIz=DxpjFS~S6 z>>wJY(8xO4Z&U(JEu4P z1~zOD!T1Z+LDGbw^U6{e{3!i>e2^@6IL2WF#%Q!>4=|B#bsk@HMaYgBOb)?XTI2Lc+*#8X<68Mbk;p(O)M)#%2Z4 z0YJ>7UupNX6TD zlic0t#JbR%SSm`^EB>ad<3AMRC8FQGBf}%4xY($Ak1>2kN~h3rV!&Z26>jcc1CS_ez8X78v!2619sCf0Kttd-73c5-YNU-BP!+BFrHttACN4+2 z!71B_3z`9Rn?DT?XHriFWSPOr2Ph^y+>D2eW#@szkXxj=_88bZlk+qS0%buDKl?}s zjVX&3rv(A*!wuhi%*c|WcpzBJ{K;ZK9QV!wZ$QX@^#b@)5DZuBEgFMF6~?QLh0L8`*Y$AIB5HN%=yBJ(&{T5RsQ;p9LnPB@rEj%nWD8stSzNc4({16DW6{u?dux*!gs1k*m%;PcHCxaK=52y#- z83IKw1DHv1d((e0;+K;6dw*v4D42k&j?0EnVW`oY(#Y0DLmsBs7KMQ}mpQFDPAB;z zRcPaeKn_vSXf0k@ke>CK#h-LsTCCW!EOA&;0{jV+RSU5|02t2RiK$?A#xf9@BKSsP zth~xKxHUn)U^n+bpbr#S5lt7uiF_pgeK^xTE(Y>6gdmZ`sTd(slB8{w zTNwtWkMr4qcJkf>8hcdEr38+_n>#)R`rSTDXGe-pvC3pjSp; zO_F_&tlg&OIEeyaENv)wfU_lA{QeB9Zqr@NB;%-rp@^Ly#KQr#^%A+5GSNaO?@ZdP-UrTkdak0FdWWXiwh7v!bpLO z934{D2l)evz1*jOU5${Vi2xjA3r}bRhGyG|=3L;W20`5zLNC#}uDQ86^b)p%K$w8e^Q^IdzL5o=*>{f%{Ngtlo1zgwTX$t2NU2D0D)QSO?PR`|2PHqi(5Dgm~?a~72n?S0w;k;k9-a$g~{YNicE=3)| zlhQ!-y9J~W1rXC=@u<# z+nOb~-Pi(eIw5KBKXO4Amw6~Cm_tKE+89tSq)6<#*=y#)$BROt!gdqLPhvwuw~B?L z*(V&5WvlrLs~8<_=IBEf4r2yBi2d;4!%Pn-_jlya^Fi#qYSuOmb%)DWu7s?wuPaU= z-38Dq;c~NGv()}MMh&TWL{EO@)i0y-glaz&tX|G`89|M~MIs?M7}wp+B;hEyG5cFQ zu?!nF1mz~XMKZn88UT%PvKaS}-vZ&ZyjnL8b~o*c8Y zH{ZM#09dr3(e1P`wtIo>Fc3c%ZOh5kBYian186l2r|1aSL@%qo7?%{RQh}LlG)?L9UenX z1X@wNpaOHk8mvL^Sr6c|X~aayT!zk$wI-e%LAz-c0KXad?uT#Ab9SaH zGb7y^e&h^t^72jBLYTaWH^GG9pI!qAHTQRzs8%F3AdLcW5ERDFJ3*)^nuyS$IC!ss z#e>EP2wNb|zd4^I7jhhm6>irjR2ogGLR*PpTde4{Cmo)U%m75xFOSrs<>W50u^D%_ z&t;be8rAywGCCyK>o18w#F)a#bxLJw&jEZw5v`Kf^6Lf9{NkRFYmyMw|IDDr3Xm|H+}e;Vm&Q7WL~|@H8;=au##o77wDeP55Cj{UP3pWuqr#@vBv<=6j*$A3@ds^ znOznHfuC!Kdm#MfTM)EMJ=G3L*>3`3|5luomQZG*<*GMzHHplqGakCL8WEO9n^q?} zGA}?$xNMW2ijN*Ky(qw2DMc#_g&p~*Fdibcw42B9j@`HQmOZ+ObF$rE$}Q2=X}j3~ zl#gwv(KiUoo*8an_Rc*i=;o~Q5a6DP5fa#}$~S19{>e0&`;%1~x73|ua5{q>C1Kz} zPHRAxs!-c5T|1XUBz=N}mV&?XuePE6p~MV(V;1$8#|{C1$?48cWL34UIOuC)sg59| zO}51~*U=iZ01n7+K&oLAoJTv9*Q_W~ zy!8pgVfzLx?*)aE<=Q-fA*;$;bAPJ)!-3>I{5J1miN*}l7T4GS*HruZNajCGpkD=p zsVFcd&3|^`ouTXg3Uj132m4K5lIkpUXiLz}N<(7ResRmY3+Gz|dS|xB90Y{W=<3sL zub@;hK7OfheMY5lF{#`Djai2T43RGCt8s%3BsM=r8SL%wc*wM;Qpd`-5^W|9Ty%?V ztlLDZ7us(;_cCo3qK*C$IeU`z~IIy?8aeqRfx-9x=;2sB!ceb8)D~o~4^R4bs zc4Ag7EyyDGyh;PmO;bWbi7pO+Y6e};L*!hal30}kv`}==`zNb)l$<9D+mP&5X7wooP;XJTTq3=0Ki zalME6Pi{e~aVTx)E9^gaTL|66SnGf1=x}-1+xqu|kqN*shFb$fV|_n?GPhcOJgh zHPVLV>p9DgqOzU3y|-!ogJb#o`BG(@NOqLKTU{g35ufvj;}kDK0bn9v?zi_><1ynY zM7h2*PSUJo;I=`%RI$g8BzTBJYi;5|;A(!13fSBMO6gM!cOrOb=M4=qwLo=2H%URB zgI>CR>soR$h8yqR#WCO`fDx&Mv)u9XiBiJmc2BleW2>MbBEEDpS_lXdJIaOnwD?U> z23H!KAjTCP?#>~w2XPUItaeL-alqtPdyIp88C9{lb(;$v*?KslCLJq+(sl(b)pY>a z7o=Q8g!`@Wm4UWq8-q5Ka?6_#RJ34d$19bON|6v?W9#8?pKM9Y++Ski0!}XjB7;Vz z)~zoZS-BG3A7w}@;I_IzlX`Qk4Ctsmxb#^BZNgW zmy0(39AA75F3#jQd;-$YT?m$+9(;9v14s_GQaSdX8k=akl7ttY97v}yDFx+8sd1j5)I+haIQCr*MVo)%Sxlvt5 zd&k)s=lWu%^LViwWRP;yN5j4XP#>GZm#c|}sk4CPHbOjo!A0Z!G{<*q$RG54jVvTl zQc-}4S(jA0==IguXy5TkKO)tz`!&t7y4|$Ol$#NeueqLjmdSo?+xQm_nZ~8^Ymw?0K$b{ zVFCULpe^=A{RKqc919c=tUTPvfpFCTa!yM5?!GOkzandjbfTSzWce3mHU z{{%!1Un}o1IntF0Mvvr3P(y40GJ~R0f@70E2NgV8J*xektinW-AJ%K|P*$uuTJ})> zp+>+hsDU3>WZSE~~q>;O>kt@bQ(dl?04)5mTKvci1 z9Nz+{SPqb((@bjQbZ;Ifk7o8b@Mu%`=$d7Jl#XRF$NVSkY6hsf#e`r+`W}pjtC7d6 zlfYW|Vm$GdH{FeAbl`AF(8VhOP}pw1Cxq3bgsaSTXLWt{cL2D(!1omFY92HU+-EUx zB4`ukMAoq`2cErjsUk*!zt{)l)t{iTN)F}#z*}GF6Q&JCW58Oy`hr=kdrbisgXRoz zaDQ*;Xwv7rQqR-@bU@F5jvP1zHDv~2{vN8;HgTlQ6ETMU03e3o7dYswjZ}>09|W?c3?OhsRtlqh=`XG~J55j*SPiuS1!Azji{7cq)VA){ ztIjfQJ`OYvAdaR&+Gv4xF*PMo->G<)Kp@CMkG`KqgtYnIybS&F-4oJNKoOv&m<15^ zqq?`MkgMv0m@C^G-a`Z4NdgiRC!I?7gX%I#lx3D4sid>#ukT*%AMX%7>8B$kL&Tqd z@-5zMS4J%e;yWAN20H*txzy6gpwCKtdg|$aQ}*0*-ERzGbKsE&G9o%Hfhl`aH$3~r zXi_ms8XDh3e2&If^B4NOb1|RJq@>-h_BwV0s{lY%86eeC3Fz+!$0PN-|E|XnxAp2X zuqzA@`8!Q4b$JcUlub>^LARmnAVY20R8o5JI(V$08AaI^QU+%+T0syhZrHmhXQciAXp&#d!vPq<9zjVH zk&b|4UNx-31Fih)(1jGoZ!dXtonRA5^}!ZV1Ai&+wrzq`b(7ZKi{B>fyap5i)S-vq zy)e*5Y|8ZO{**l_w_TO|C#v8H1XZ!3wptagqR@@V^ZWAyW6;~7)CML@CpwZETJwnTOxJD5c*`M(%j*BOlopuIt8`~K*w;+mGde&++24)3OD z9CPN8fGwB%1sP}z=7+S&SG0L*&wD?NVcD#e253fOh5!p2NCk( zi|=O70xKQ$vlz;87L2C?=!oi@UG0vvvW%q<`egBz& zYJ($s#R89s@D@@EXc?NPF0Sd!H&=t53?w&qRwuM^h9?kNjfDki&Lp80TP~D%F?tuY znmZ63fhyob2z|#O90>7wsYIEVhK(k`^sj9yco@>>VO6o?m!(sPfl2^Bw1Vw!E+~Mn zQ699)7eDE{0bqvvfmqR5Uk1z5B+Bja(4igc;l63s!Ut*=GzE2KSogm;PJ4gP39;sX z8G#JbL_n*Hz>lI~FVdPo+m8QJY~Zq7Uu2v&kv5~aI6qM|Gt&XBj355=7lY)u`M8Dr zS2_`!>{kEzes=WV^Oe6$gXCI`Q2J#e@NlA^RH@J|n}aULZ8yW!k<^~IeZ6*g8!qDW z>C|}8_BCIHM0vSe_$i^=-f=A1XTd|mam^9 zW2DctgA98-$sTX|O@f;FOP}RTZJE`|qHz`v1b0`uD+yzyCXt$e21V(@4Uw4?d>wAl zLS8)*y;8!2+Kp~RnMm1(s<|m_sWG}2yjsR6?&ZV-{9a9YV*aV*GM?*>smfdEn4RtV z(c3M42I}*XdW2BJ#u*JSi368%3n^t+>`Y>~c3NteD@s>C*QBjN=#?q`>-w7UDWy#^L(kzW^eJ@ z2Y|^(`(}dDDKDQ!T_=4@-5l3F7|NO86KOzUpDVpHZk-3DCjoF8Y-ci0*n)mc?Y=V6 zp4JM>f&L+?D_70}d~B1X1=8Eqwai})DypG=YpXDkf`9@xWf@2bNPLe9jUi_s6`qx` z2H539f14X+RkZVXdr=(P@qpd-dmN}K`~FP!K2Z9sNh#}W)3>`(JtzE(?pXv1jjaKH zv#BBGG;zv=@C4KPU9+Y}wSPyga9qT)%{;A(CP zWUQV`O(%-<_Er50?R1ZUkh=UzL7)FyXvJ(#hFZ+jW8fWdfi}lt+a7bTovTO>v)_Yk zvh;*_@tnRK13{0+^<*HLIq0i_5~Wx1kmDKTK&qDPtdi8%uj{-XsT5fYmYkzh*t*Pq zN?S?tdX!J4^UJo%Nd~J^3cN!e(y9zUhD%rX{=7-P|WF7sm*00*8f!X~uhx~ZU(=6Q!^WwHYIG~|kbd4U% zJ~Iqc3vk{sXbK4$eq@J+bF#^ zkN&zL@U@?;bO+meLwQ>}(AO(?jp>-FSdgH39ON z-dj4^YP39@sH>jC#Cs-~Q8tilvgsY&iS$^kWIHTwuI4zu`}S(HfYVa>R<49FK!^&k zRN&rq2{XUEPYOOc)AgC!{=Y&1?Xw@*r}+{Jlyn?_czP7odGLO5zyEfIoI6=Uz@px2ydE|HVB& za-zeF7cSf~+FQ8?yK=ZRc>9dyp|?G(p(1;}uU+~`@r`7r+e0X&xkH%*d8VMVY{TEW zy_^`FUK)SLqjsiR_=0*n+HU z1A7K0ZCFuKt{c?-cITn*{`p^@xXBLnjFaa%Yvy}9^2`J+a-|=)lF%>|t+g4p!#<2- zRS;48f!EpV3~nP-up{wS{*Sq#t`u*ao4DOP-Mh~chmJkwxedirHF@nd%OiVR@ldDb z$@Y|eZ#Y~P3)&Yp_uhEK^~JtI0jT(nd6DuD!)ClRAO)_V3Gy0L#6o*vN2SLR5ZhwQ zDm*P59#G3b5!U%@y;C2a8uki7OQFaN`;*_?b9>K+5NXfW9;4=6EC`CvF=5NVq{8m3 zpkioeK8jS8u}}2thCnsoiNdq&CXi4g%3TN~vw6U8~rtl^!%R!v~pxjI~OkE=rOc zM}4J7+aKnRj>fiZ=hH82dK*nTSeVjtbW(;I1hDw9`>LkovWK1fz#P6lrgwYi=f{=H zKbEkCA*?&9?$mGg8<$!Icdom*AN80`&Gi`7&c`nFXGb>kf18@yagJ+Xnz|UdCejXn zwDcR8PPVjUSi>IOVo{To(Y8P`JUrc;+nTtG;`WNw)zuV1;XqJOMqKOs`eD#+x*vS_ zgL6?h7Yc!$ug^x;HTe)@-qW`Qp2oxLe+{RF@#{T=ejgjhXTTFkNJyHdUVH9uw2608 zN}CK8VscaRl3xUB>W6GDMaDbU^g=P+li|TMNdy2qEvRX=*pD4RA?TXTxZHKC!G3he z3E`pLjn26o1$?5%mci56yfmn5UA?MsTA9jpfwIfkd*OVrl>sQ-TJ+$Oo{u#`dk&9? zh!#K)Tl?2l_g9uGqqn|vWujJui16@yWs(?-h{?%+Lu>BGwm9**!Xfux&_9t45cLaS z=iP}&1FEL(Y_1f2XVlu`y_sJe0s?0D@bU11g-HfZ2ZU+o16}zs@)fqc&N6Dn{Z}sl zw7p?=E}pfvZH?i4&z#^CdhonZRGc0errNZu*2OFJPoNFdqOTyUDNVdC4d6@EUb|ZG1SIVNlndR!!WX&M)S;oLE*~{ySSw+{~X~{DQHNFq#+R z(|Yy<-pvtpm^7$J0;AG~l!P6)90DChSfrMnThFB~b)fz*_wK`dxkqVicz9gzNLs^i zP>-FBHj7ty#zcscKRa~Y8faz0!z=Q?eT8G*n^LL+bo7s~ z^XUt8z*_uDdk_6yS+E1Qxkj&%%Y=dvySv%i&n|SizV|1*pP^sZ_oJZ`%+LnZmuG=z ztHSo=Z>~EwFQ+?h0jQrHC@svZ#b14Qr8BQxK0dyah*{)#F=BF5sCcy(OXm2Y=}(D> zl1cscZ7)_fw(G|AP<9JqlDzh~g^q)hQ(RPjc(*m4&+Xvb`bxvOr*d#p2bE7G5xf-@ z70#n?IP>9V2hhpv4BHp&cGu03W~BFQs)mf>mp5kEzCGoX-2L=#RhfNr4U5%*9$W{d zW?`UI6P~KOHuLE1$Govyy$w9G<#CUi&4^dQKd?sW=SY^6E&Hnb}XH9PsUiY&> ziJ4}BRDp`%rmz?G*I*nw=^a5hJOVuni^+H%zK15+WXOaoacSYvZgnbj&iv}!UOD&0 z4oucz?1oy6r`L4pQp%6eRAuRKErF9TDf6r70_r!0yuv$z>C287LSJ9SUvh^CrG_G_xO>lnbLet@J|kTTut{J@Tgp$&pTf8 zs$x2$6S^(nsz>{5d=J^RcjUpUi$qCis(drG*~+)#*Ejnx8?*lo-q}8+u|8|oE7#wyz-~H8=X@Z<)XdBR#x1QR)C65RR%o5V$4Ufi z>vqR$p6%hiLRg~jKT7KUX3xF78HZ|v*Sk<#2rp{J!y2XyfF8?qwZ zJfYPu7kWZOKd+7kV9K43&7=R*_wRQ(E?@rp&D8C%_I;A!k6QrZ!=s`;!8(@iX@Q8r zi~g*d>{q)6f_G}3S^F$V=pE3R9=zaq^QPzM=;$^3`5qobcCXBVhMb{c13b;p5SF@n z`J|-itsDrcw1IaV=eT1$tap+eXC?Ga@_AC?LqLBZzo8Q;hHv_tqok4}k)60SX z$tx>6IFk7eEe>=h-a-NyIsI`I!|T3RjU@$__&Hqdjm&mxN(z^Rgf6sS;22)~Xlzu0 z7lZ`vWoq%#*q1n{)yqk`$ltovIsNl^Y7-4{boN4aqS|YWP`PfGJ(UK|GpQ|Znp_%S6*fU$1VumIg~U6_uC9d+x^*90Hx+Mx z?a6+VU+D?~H0U8$Hobx@3gqCb)1=nt8O7Mkm%Y}v$1q_O=1EFH13MT_^UnpJJCGe9PDzYP5&ak*ZZ?Hmnc)y^1GF^-LS)O8E? zjp_effl^k>Q)0P^r}JlW=jz09z-&~Y;;kZw?F_a%qme~-uH|=@0s`> zGh)Ea!}OU30^cm-if@hcfONR3E}%11Sssn<#BxM4 z+(qW*NEL?{c}3QFQPlhouleS)45K?{_fEm1Rd8u}HkYmVU2`u3(9@On{$Cuj$~;G? zJ6cPb3ONCS`Rw4pv1xjG5o}9?VY=gF({rK~mgx-{sCax`gT7?h&0?~G34BN4$6omcvfo^6|c2U zsXe;&1Ny;dxwT2Ol+-Z{#*0ige5E61Cui|jeRV66Mj+xXt%Lntl2aS5HQt=hRDal&iU(u zE}ad`3PF;S$FpJ0r}c-<_wV;NonLa~YyHseQvdLPbrzSF$`imq8?zjeTe0iAbH~1i z*A0#4zQ{o0#LbjWK<)O&qZh|dSHwic%VqZ`JDkbsu0@yJ2eAjatK0y&xp3QD{+&ewXKgneu+=7tSH3etyM;XG6S=0g+4n;0j~`OTbdp@)To1O5B+ zzd0P|Afchsf?w>m_}!2GV)sQ|^R|mK)kMdJk7r2;XUKu; z+>ebaZkPX0=)w~w{o<2U<+LPeJ}x&i;E$02#tV#ETt+fymv+cFp;FQNgxiclenC0_yaa+ z^>MSX+=7>E{D#D-4)4~1)QJZ5UQ<$lgG1)**|W}oRldR7pYBHq-inWpxA^(dH%&Pq zUil}jYrR}3rvjsxT$YZ)Sc3vsbuwbr?l?N*cX{5{rU5j37)8Z*P|5xM)%c!{3)CeL zu#Z4hji-xq6;L>Pkgcl?Z~plS0{z8J*k|XBAm}WEN`0Ud6(f~Nm&Dz5ohL7VuYxu1 zZX5sT>+4kon;U=EZs+8EHsYe|!AAG$)|Mu`0%75ADL^KCB8q9CT@`6_PL7VBAla=h z8@?)t-Cy>$n~Lk~OpPXJHcL>=gb65OfV>Q{g3QRsNUy9aP!V>(MwYEB^w6gQDYE+& zKGAwTgVhs2Y0fKkv{v$EzPFr9;3JHBn0f|wz0ayMIY>;L8?GgSZ?HCXNmNuD;CS;N zCOWz&;_;zSFP(!5cqltUZ+@jKYbq)#4iY|;n;(oTb~*U_4c?{H$&(`|^H${FHAo2* zq_#l`up9kO%qZcgV&J;si!dU<^*>Iae0-!c>`srtWZwn&(IYC_{8iFDOcO3%NOuA7-`YwgGD?ACl(plH$4@oyQ! zzy2yG<$hQC@o+C^9q88fN+(;8iRH=YfDPmogCv1s={ZM5*8d-oJVLIC}%AdWLE zD_G+t@zu>`^8JQRft+yz@Cn;r&mY5A!T#HFZx|jaPM)j#_S6i*;#zxWfB*(L>yp*- z*K^%`95NO|`m?=i&ZETU2hJH9d}j9mV|mv2pp1(6c{JtY#1+z&74pm!7XJPVvQ)C~ zaKj&Ti!PNPmUQ8g)W3ZO$D`tbD;7D?8QscW_!|xgzgeJjc?6aW6T;dSh|HJo1p-o= ziDrST!k%Ol5gJ+8+26MRawU->aqWXR36$iH$z&sh;Le=Ne*-*%$Kv_>^^Wtl(af~! zOn`up=1Cx{c>hOxXCBsb-uC^B%Qe@Si=G>qY&93zB1vSeT#TX3)=vA}=trxGQ&f+i{I2lcQJcnL3kk_1 znM%EaNt_iefWyAs?_y!XcE0%iu!uZX0e!Z%+qYY^*I{@yOVK7+SkKbbw5-kc4ud*izBYf^QINUJjQC{{ zllEpag1epql1{~Rf1DzRj~G$h9>E9FRGd6(GmJvo*1W&&2ztKp-eH@@|NTk+WAQ56 zP3O354pu9u{AWfAlZ>0lrj@P6m06w=QtW)1;a#sEH^f!UEr?ltLZP1sAtE#yicfI^ zvI@&$$e89|kDQqCyqAOaY#Fz`6e`3>>S($nXyX>OyCFX#(ot4Z+raC3^(4~?HVrYt zFH8~{WgM@6eu*)u;8F7Clk;32TBkdoAIWTl%^mj1?O0SBddcoT%Wu7Z2dwjisf6M) zYAe}W*V9(7UhRM~tSZ|(Y4+Hoc^=2q-d3hw6Gb>v0?Ha18o77j!eoXI`;lBbX;K0t zWsG-Qov75~OcLVY6#RQ?y#*zdu=((@W5$qwf zdOGQE+f z^OTdVj3WjP7^|4wSdYv@9M56HhQ-pDWhH#2w^~ELTa6?~-88|Z@8icEOJB~()X~-D zik`ixUM*(Xw^~Df(}RW6g(KgzWy^&lV^!jCrI@9qRhM{TY1364B{uE3Y4Q1-+qIlE zOk*{R{EhSF+JJz7;j*$7;V!pg2@+4cJkoP8b2EX-F~l{jsjV$3NWpiF_P~eV@@}=B z4$oO}=f&hIsgvZufxnEHw8RJv!-n%qJh4fg4i&Uy>5V;Z@1Cmp)0WF}eZHUm*c6?S z->K7p(jFrxcNLh*3+u71%4r~cxII+%_0wdVzDeB%3%B0=i?|WUIxhjT<7vAr7hnk6 zIzi)_YkLfi4rjCTt8w%&*L`%-V?pQ5w*CI;?1b>5I4Zxw&Z5!&(L! zk7v@Q4;9;_$D?qP_tWFqHfw1!>8)C|YUcOfFBhm#Tnuzt)#a9+^Y?M{l&YJzqv#wy za-_-T&1VqUO}RhNk>b;7R~tAu04*4$g>RRNMaFs*6lZ>sRZIj2R`zF_6TX_h)1;{j z$`mGM(R`2wc$ZWo2de?DoFCadx*B?df%uN|}PkiDX=9hMSFf zcy?2hF1LFJZOttoYim0x6l{dJtCSvsA$`(po7T{9nl2N#fan8Dx;?H%$lE-G%s<9H z1ml$$f8do-Vw_`Uq4vyTrE>sbCawZMU{Fw2ijWy{{`e;%X= z^{=?YZ(XK?bK(b=qm7Y^`C60+s0Z)cr&UR(yB6m3_V%s`L8-E} z!iph4oNs?%U7gQ{5i&RMNBU{aM*JPWY)r&h_`3utWxjHlrn=#J2KsI(3|@`1jjqnW zGDO+9t(g(IpZoR1on~jJPC9z%&>v(f&(EKHrvGp{cWuO?ix`JIjZVq%unJZarO@Nc zs~0%eEb?cxOYBsoo<~JAU*w=$`HqBnjLPHL4$i2YrmS1H?$nG8D}d(xd`PFl8Z{w0 z7HFGNGy2}WH9o$+f+4@@*Hg|uQOew5HOHHR2eU$R4oOPFS8tE|h=_;C>nfzL0}U9m zc_`+$7dT6C_`1T~dluzbWVrsbuCA`KDz%CvMEVA;f}$&b?LRaA*V)rKQyq~*0AP+j1Q%67hT1-6dKzaHt78P zwQM;;!33I}xB~gmZyL=^$a9xRBlB&4`0+>OdGr44{z%rkCTg+C zlUGnU8*#YL%b)LL9OX5?A;1*I65s0x=D4Y;>1syCA{+$=Q^Q}rNF)PZdG>5e_5Qi7 z_MChBnv7)e8R&YNlU4rYn2k|XOkx$@q?TyWFJ0SCrk|yuVNwF;BZ?@ZA$`@YB0MSC zhHL)Zyzgm#AiSQVi4=xxF~BjN>qGVHhSB z2bi_F_|52P7!7+kpZ)E^h3{KxG7ZIva47Lrb*jnO!08EXwDQS(LU6o6w?98W|9)v{ zX?g4Mq%btx#z2sMmXu!PES)SIFXSdpjHmt4e1CeB(V8`flzJZMQPuAL@OndjVIgV) zt&^dBSJw=F9>8_MW#;_(Mj?K;>^er-MtvJ&ni?H2IN%MMe42(;!52(3V#k3dcUDyZ zVq7a{Rwt7vn@^iNp9~8N8$CI@kL9rYIBx#VUu)I89~Ctb`7e{Lgu$swr#mTa(qi`? zYzl%mkXu`JVE?qlzyHQpUw!rDs@`{OwBiHV7<4YF5NaTZJ?Wv@r>HFcj zgLh$$V{Mi(H#9q8^L=;VP4)5Y=3Et&nCso$F|Vq;r0LiFn)dp7UEL!PIMLayS$bbS zP^kLpX+Ph@+ek!iyGIebD(d1*)eR9fQYJsYaxbFc_2bK%EXp&;9@CVRet#aaHz}t> zH{h4EE@Y=jr^UrZnKo7viKIu{-@l&=|DrBJH@n$^ZqP%n<*3cMnYLs}Rd0X)Ifi=9 zAetO+L%s^5#i&MqFBD=#*MBbYsFnrg>{+H|oPf-8Vdu@!$m5A;~u1giyp zY7c7f=~+k{a4u&;gZ7IWD!sWRzI6XJD*u=fH6SA+mnWVPpwBH7xy%PASGK9cLqbza zKuU(W6?MrjoZnr^ct{ieDY-TqPp4+_o?eNyNsm%n`>q={QNm%+_Imp_q~-Q zJ;c|c`1ix3ixbl8>~nH*9x^WNI8ZZlx+%eH*PcCl^eL81vv$V{NYdWbwE(o1(&bi| zLmCbqryk78M)`N272z=q`+@P2GJE0A(uu2F1s<&rgXPuk_I~^rjv(j^1c*GhNR@7* znhQ)jQrUf9UYd~m&B&2r&ice+HmIewcaeeBr7dp%#%+iuCPzck6;xMO6SeFnxXpYA zfZEO~a3>2$kpqJSImdzWBx@JotK+9npY&05>QmVjaiGlQl$5v5$z-PZMy#>q^i0!~D`GQ> z?ZE+4r&=f~uds9vX=0ec4hd2;D&hiy1779#h3+~+JFqS>D!VEF%tO^t0|Nu8$7WbO zsO?B`Z_*t-X_6CQZwGkS9>WifPUwqpAb)lMfEwG_GchqUMvob@9f^hkxUTruf2?%0 zzG3y~y!&rqvkNS2r>lVSWn3paXTgF4_vz5{Cu8>TvEu6-n(KVoTlBAL;Q#$?i!!jV zZJL>rHVp6ZZ@)Dp>3Tl9J!D6acb-VwKnik zCvWovJG@%2YNvDBfw$N@MqqbIWG8c7uYoU{;5`4c+BJw=W;)nc5-47`tF3_v_cs3gj!L%{VvmA1t4^pD#GZ%>6O<+{-x8GWnf(RUAz1F^8vCoKmVbQnm?Z{Nx&t zPw?OS_U*H;zjf2At}3j++j9@(JL~2(tunDZ$Imvptd^o`X@w z?bX?cWXs8LJ2kYD4pJ;*&aT|pvD3(^weCeK0^gxxNNsAMp4>oOZQ>d%#9P?fCx2XA zX`5Cxs2*Ou%UR2;Ra%k>UNHYvY?kKtM^Vg*U`Z53;bSMYAC3u zgaOJ$fmS@J=I+(kTmNTUMvRv=cXD(jcs_+(!3?0%J-o}J4Ge-Ch#?2R>D8-i1ZWA{ zr;5PrnSbs#GL$lVh?n5*Y@iU^wr$%7PSn$Wiz1Isu!w}64L~kKdvKKu{7Qah`G;)S zBXJz15!($cNsy0$WD>*&K7M`@SP0*iw2Iwe|Lo@N20;_F19I-><*^1fe#KUj_%pad zO#;10m_rel1o;Y5E6mDQN2nHfoQB+(F<01GOCzi{Lq~A)i@W{!DWWa@Ru?fcoCVOC zsvEiYtE{cLF3wQAx?VlP6D_Ww>sY7Cvh6lU;rX-g$3xipQ(9 zIvY`fD(T==6|9AzrK_cSlUPyi)&j~&v3GI@y2D%YB>CGObD=VD&4`JM)+3=4v4!$t zH_a;tBG-5@65O0b;876EAN;Uqb3(fElqoAg4&~g~`L55Fix;F~PUkTYBdE4_aT}yA zXH~`?r3zTcp|=L599gkq#RsxIq>u?Xq7-L{3un&AGX%F0rZSElzhlBbAM_XWFnfXM zq-)HC36i~gWd`U9j0b+S<_-ohuxP5FaCY#(9GWLYIAe~(i-rcz=XZx48>jwbkgVdP z?qhz=osIX1V<588v@GngMe6A25dJ<-Qf&30E#m0e36ctt8G2;%>iJ0%&UP3=lcDM} z7t{xyirdr7PKAU_*72oOfH+-zUd!JMe6fKG3Q~ti5<~4~ma_dYv7qeoYFVhcyw)yv zLO(>#E>QOHZ@zhqP=5jD{zz3e3EMZf;nis(_8|_u#KM96-Na9^q^Ckdw=a~NnO;)N zu@QHOms@#4t3Rf@wN^rDYKCLk6UMf@@)r^JufZoZGtO29Hd^4{zguVHPd{Y{o)%P# zNv7p^tvwl71jR!5(8b))kGx9MFxd{p=a+6m68t9@F@{Vqw@Rwup2nEF+%yJI8p8k~ z?OK4V$XX0jMHzJW?%mxiu8L)r5vjYBhZBgMQr)-d+{hk4&|A8u6#!q+cN5!3gcE9U z=S}MuE%C<0#ta&f`y)=HC~rXGk40D-_9!i<#A2D6E_>hsxwg8_!nW$NrYb8`ke1(E{NdiitrodGwd z;A=S>9ew>T5cK@gibQ{Qqqqix?7x?rFxn}8Kh>pP%eFMIC!wKN(Y031jRhg(fY}jVX#Mjjt%YT2k5M{;_7Fc0dhe#~IRG zW!FaznOGG83)H&Vs%H)z`dhY?&G@CND2a5c_)NSL|AX_Fy+i8e+0(xN{xZOOByo3vrS@Z~$IGG*ESQQ?kF%@8Q=u1@U6D%4&Z2L(XP1Fj&-NNHenw zGnx678#OAV#f@WaOuRDzEl9mOAs?X6*F5;t z&Ej_XHlAGVIAu;qBiofjUR9gxmf(~11hy;<&Q+749A&c`F$uMxD{^5~ZeXA^R>LQM zQO4KeQB!f2+0s4!{!W=}z_TixTYt>PZ1(J;9*C1ce!xkYj$WX7t&gS8yeN+ zqo?V+W^|Z3M}>=H4SIN6lbKrENAsg?gi6(Wo?EmIir5gh;CEI0$9`!*tl((L3mL72 z*gS==i7!M-k%QrNDC!E&|jXbMd=01C2}1 z`>C{P$_$%ecvq%Tx7@;AR#q1D2!QzA>m6`!UV(+%5<^0DOMoanq*`(@)QK(I@QkH(6tLx`SFnCqiEu!cyU1zZse3i9D*_(~nvsul(E z*?YEU=Cqh~?v9NwbPLUn*I3jQd|_GOiUlk zI0wcA`>uDDhCE>89IS@>K+X213{=jQ{fm4@G@4MP=Q*5KHr7>8P^gSFU!C;xgy*k) zMfj&O6u3ylI_9ZQ1_cF)H$oVG^)@Rk_v_T?=`UX{_WJO-tGoMFVvoY!{m1qXTb_6z zD5$!%J;Q=e!Jz@YG`$ZvTvR==SVh$`>jn|gyG)*@y?_IZ&z3)T3#5?|8K@$d0^lf8 z1MT#1Nt9>X+SBo}RU*rI9V3TT4g|12Ke@3oc{g2BswO7<&GRyyFGXY^b>`x`I+ID#yx8v?y` zMKt+)-#-_)==Q#$9xRmqAuZhGq*_5ECuOzDB@qH|5Oo||1by%8>nnYwk zrLjZ<(dW1PNSw8N@%dK=pSB@0o}L-?*Jr=j8st9B4a_C3oNsw`9GPnSc+3EYjj5#54#zc{e}0`i_}QT%vTNVFj>i$OPfrJ0*;u0MMJpw3jzz{6 zhjn^-sRrs<^FKEi{|3=5fXiZ!mx7X$b|W$n3$k_V){3qk>tf2QC**Btqn)67dV3?L zsiyJtGMrbd5?k!+qnBnCkN`Yxj@!jZF-rChM@il|oB51Z0SNkzcoi?Ex+{521pntUK?-qrcFmruaslmQk7~lNIrh-Y5mdH)@h7iEcfsY z$oYO}VOHcRB?UE=>6%`eYV>b$kMx0risLzyaf{C)inNNtXD-#z2Pmsc|;Nu(OJIhT< z#Qbyh=g*&Y4GeC!F0*t7bBG@Acn!xGIu1pkc~-EL?B;m+>k0uX%~I`-5hes|5M-ff z5aFBf0Wvra|2gR`H8r&_MIhy`XtGq@^3SfrMveECuQ5sQ!Nm5s&B>SWXp)FPIAq8W zc#TkHllU0mWVPKDq*rFS0XLz1E>i=%dRr%aa&~_H)E8%-p2!En-ahUP5U3y7bQ;Uc z2PrD|W)=h%B!WJ}Wgu3O{AICmAb7+lxl*IOaH`&EBlt%Y;YrXYZ+Sdk8Sj}gS`}oEnf8esGJO;%Z1R`!7m@4y^KG=mrfxhE(l3L zOfkFQJ@ql?qdom6fY?*J4Dsk3!;z;BQPMWy0yQK;A~st)+x`@hHR5D7L64 zcM`>3xi(37D%3gnwec=4E{4=JqOJ;OnPB>EH$Nyng_`{VJit9KXY#GE(`o6qC{fQ8z0)!1P2|mx6l1qCK@1Z(MRdxdmrRMIO1o?e9f9WtLlI(`E(WP=rUb zAr~#3c-!fH-O%BR&WwD?_Y?pZKgK=O=65+`ybG1|L1Qv4-P3U X$k86(ud_zH7oAmWe@I-hW&gheyssf} literal 0 HcmV?d00001 diff --git a/5000_Trials.png b/5000_Trials.png new file mode 100644 index 0000000000000000000000000000000000000000..a9db115343ce7b4ec45cb55726e18db3d7822fb0 GIT binary patch literal 29786 zcmeFZby$_#7cRPJ6a;CIk`ieIr9)8~i3L*9AtFdhcS$L+C>0Q-QDT88-69Gq3L+sA zBGMs9*Bu}DJLlXJ_xy98d;d8+dvCX_wZ3nDbIviwJKp!5D_UDq`P9iXCs8QWDOHtg zXcP*MABDoTAtr?1tgYsshd=P$6;$2lM%Q6^YG7rwvmXDF6mvSOP#$H=LB-DrN+cmsS^t%^$DKj5-7ZypOL_I zMlCObQfDv5@q|D|cudii2g$ZeW2^(>h3^eT-G8`$oZt5L79Q{ztKJ+bwEiudCBQ}- z+mXPjipi5m7Fs}I;Qy+`X=zpAe_XrU*x^qeCnH1nEoX-SNi6cd8e7Xm_>;PtpC5Vm z&(sJ-_!B)+iB*9=V{ZPR5C6YBVUnoX+1b3jyoBWBYtIxSip(0NtUKdmv!|POm+CV- zz8O&qnmn@Vh;jYXLASO&on_~4g)G|{etx3t8!z-9FiBz}S$w0sMtvfOUpe%>zIzj` ztGl_~5KYDH_C=A-b?;B7XyBeV;i)rkR;Ripr!(9QE36dB^3z~--O9ra`Dsa{ugRoe zw5R--F3x@FQi|B!;f1Er8dvL7LDR0e{ul4lgyu)RhV2V=YFsR7`3Z;y<*BV z^FYa5rH5S`d&m}X`c2#&sPRZRxzGzPxEa_D?=$>EWxon~r}y1KgcP^Ilf z`(Dnzbt+AXkggQIwVnBLYlCDM$;QXFN>=q$el|%-pLm_*=Qm#9V(-oN@@G{C?0TY3 zQlH0mHsTVTTA;+_K8haDziY;2|ZK+Jfu;rh~n`y^-8<&178ewP?x@ zPcHHGtzST?>UAO`UNLDRk+ofHg@fd6U>ke(|{&}NHn^X=qMlr|1fFNhz zjRjR-U#Wndzt5E8Sx^_9M>9MZhcDQ?JB`6$D*Z>{GQ~Gu&^ml8ktEFufy=d_UppH8 z{+MoOzfHo=zpGPfdE}gGESIg`b&4H-@kt!xk=SE1rIVa)*Li=;b+XU>NkJ$%HO+~ zOJivz+f6nfH@O^|g#31X#tPN^e&S$Q?^zl#C4|K;D0im{FvxfdPriMa>oNbWzMPy@ zE+a3G^OMBngZ(C@iMEJhlUflJ2`&Hl{^rvS*|0~qpYBEf z&+peI2y=G3H}Ay5GnaDQr$0H4HatE_!<+ErNmnwDF1@Vp#S`D_NZy{p!Z^@8!m)QT?7u{jyzxtkA=3r~m5w~su%Rpmf6O>t4N}?t^;|u*Z zm;NpcC7ogvOUTIh@aTfI$io^N8=Hj0#Kc+0l-xL}m;v*k%%*_d)$h*DI>l(Noxii~ zcdLKAuAf12+psiAH;%;4Oz!Mh^P$|dEg7TO1IzaNwsoGrAKR^dQD(LEl0hP`QYKQd zR_*)iyX|qOz5KQQhp9DM3()aYjoNo5OZwRsN9vEzSr!*iIHSeFBMCQ-1&6Q=i`qA|fJ{lCO|F)}JBiGL_Pr zT+ViN{CE09y0gXK+udrK?%`9YsyqELK5M`K3|hw{;h_}IaviogB&F=T-(UL$j7l#z zTj{rA@g{w|Nn6Umc6h%9!0%3Rr*Us(=nS7yD^ z5z|VIoiC4MS8UTv^D;8ruy^8U`c(W^T&UOznO?haS6nKzXX zJvZ~668k9c|*;LG!q*+F>B>lEXJ)yH6R7a@E?;6qtN|B~tSn3iqw&D8?=c z3d24)+1Zuyxs)-PkH~9`nLjT}p7quTmkR+h71)JN441l!rsk+Mb^e|H=O}*Dx_jk4 zi^H$@7#J8vJip&9F|AL93Uk5jmx@`?zQy!%#(eeB1heRyiXBVR2K@(rw>teeHM0@aWQj0qhJ2#!Up5A7b%EtEz>S(Ub zdyG+Bj^iNKa&y12c7Nl$W&VD?Y7(&Cp8=`ZFCb7&?PNy` zP4~T0*dDthk2T;HtrKxt^341Nhl}DhbG$05Awhc_eg{pk)KK0;O}|&!>u&7X`aFoR zm4_OybmtB)%;e*575rum^ufG0o-eG|s;3D~&AlieHPsI^c%d%l8Oy4a3QtU`Q&rCw!i_yqT;cmWV4~o$kEuIlsfDlE9({i&oq_-%1`g2D!3~Umgss zavZ|^{d@22L&mh(ot24pRW-Gr4@5r=&bxP~3H6NBx^GHwu1?0w6K0##x<$%kAxX0& zJtaHbCf9pGIGst96-3q}&#Hkl-^ab%9aEXc!N2<@PnGJ-r90QAKV=Rz_=wW*>YWAL z#G_jv?E81-M=tl`_iDRe?-EN4D?$Ns;jQ!p9V7{w)_u-VB$4u%Lr~r$vAbuqWY?*o z8V)!1JwoDgw9b(l>dY;1ig#7wt z^Y#J5)%kCwUh?NSIKm!0AhoI(TyhW}^B1-4PMtD8+@WKZx;GB^Y~ojv*6(MLEI;F< zmxw2I0or%i0$pPsM zf~zii|LL%}W;>-;WGXEopYP$Y)yMF|wS9S(j9eLc2X!?qe{cxi#8es^2VPkNC8Q}S zk2cMM3@fCSK${FTF~5CCQV;+kkt{?m>(_Q&ytSh9ex|16QI^ZAS=rxgbut%fK+S(^ z-JWg_Kk>Oil4-)L)F<_@PaP`m#pbNc)rFT=Bzg3R%bMjRq^FjH$fYxXh8*=Kl7h0# zO7UbdT^KHxVS8Z1Jle@;?EVb5A8t%IAG&3jcsI5W2UR|Kxr#b3jY-8oKGSM$+ zAJ9{b*%h8YFhm~Zp5gxXLbBLh8EM7HPe=;RYj$+DE39%R&sUGk)U17cbjL`Ds_eYI zdGppGo>Po%TYo<1MA#M1tgOg$K&&!XF-wQ8^ECRk@2r0=W6sO-_KYEG_O~R0J`BB- zn21wceC5LI2*W37@}@0ziOkW;oCOPHrg{TAtX4L@Yv&T0c-(OLJXx4U7%8t`LhmW1 zczoa8i|*$#+{rFFlPSiwl^Cu3PS-9q9(}Im0tGeI6b?6v}^-`Q8HY`}Zq{2dtzl zr0Qve+fS8w<`1Gy7Di7Id#z7O0RFo; zJeNo{3(NIR9BgaV{K8m-?CWY7=~Fi!EguD4Y-^3HcK%6N1dsW)>8$nyHti<=!P&fk zmq;a0)Z-`AEx5cm?9xHw(yJ;QB-gNdGQ;-{yaCS|nbw%>p_k7ruihS^kCWn+SoxFb z75ef<-pJ9cP_wD0;ydVmlA-GD9sejECVFFTfL!|Vz1zpP###};X3~2>o1ChXJKm@D z%*S1;&|v8na@nqqZ)Fi>reT+O`U+azds@@X+xiXsq#AQt-I1N-_N=OEyrmNdFO+JQ z)d%0Hmf$2E8C==>sNHr;OyLW2*S$}6N^a@fsig+07#fmGsmXVbZd=>Z7P0b%sx|cu zl+GVsM7phNDJP{LCpR9w>dH$SwmBBr$r83XO7cmEK^Qgs%6%?vl`IYE3p*ZXN?R@% z7Tq8btU(3toIvYZZm(MCbyVgwyrDo=O5#tq5MU12yel8YKNsl;SGpZ+J6$hnIHCin zE2}QjOPqe{Ln!7L{H=82)j+oIIxOQeMel;;3UJv^wHG{{w2+Tvp7Kgt-DA<}`Wk&(#0n-$)f zEj(P@dgaPdWj_g*F}Fl!SBg}>j8y4pf;>BgW>>JtQtuN4jsBT`>Nf(H&N!M3qS+ql zz)b&2xZF^OX&cNt+2=A-;aj9%OSYSto8LYNvF(O;cL~NJpJxsxmkZL|K2Kz%+}cq&odt~PH-rK35%+T+>(~^z$y&%?kqTyxP>b$M+~B zqoMN^1&0#Wx|7VQZngjcZ)h`0B;&N^?63wBzvgQ?Jjkw6>H4wf)Be9=H$Giy9R2+4 zs;Y*@h-o0?ar2kADK6edmELTZKfqB>J8%wHL@(J{4#jh+r$TGm(0N|1|L{AW>uhg6 z(Vj81-PYeqj7)r{Qh@5&!v0R?zAr!LY0o=fCl>SQhfr3GDCl?g5&SfDI_)Xst&yeLI%eB!HwFs z{r;)?W!5Owq;nNcKctrGmz(eo>UGiR^ZF%*1r7lIeoTL|fnD@vbqcUfTe`Et{tm=o zMxgItao(Zo_3K=hE?w$-1wc6>`JD0po$jcLv;Fh41Ep7to(eXzoB8~V`n-0qLwVyy z@Zr+I{;n?YOJOAZs_5_%vs3Z1gkeNihbmX*Ubqa|CM2Bp6ybUKUm+g@I%me^RQLZ9 z@hv;-t+bPCJh>RHF4UO(vm@5dKu;CJKAG+u%41H$M>wws5hv6X+$~gHqT=)Le*^Sx zQywgve}qXF1@I3OaRn$P(Z;t?6dZ%E9MbH{RWMbohx7dujL>A<0?MMw>4)#8H9%e1i8Bs4EYJnn}CfcMG+kky!qalaOLg>Xzx3z8bi)RYJxFw!|*_n*zz&Lh@HCwzH}fPd{fnB|Fiz6q58u3&3i0b`Qgvbw<4_m($Yc~hNL?~t+ z&6Is78NC>(rnG>Bcs`ozktoqQt^2;~ZJOLX zO_Pg9C}xCMeR;GIlJE7@P2l*Dzqm_4ZLICA^Y~onp^fG>xUU#%vFF_#lecoM42yJU z{+mC%j7E14c9(r-o<+Ke0p_f|%ufjP#n>TB20H7>nT&ii0vb7|JQDf%cPl;S_2Xn# z-(js)Fw_Q3`(hH}Q^O8nccbMGnaUb^O`AD8B2`K(jjC=_#L^0|)5hWeLUmr7N;ALZ z`{DK7?+ED#{SPrm4k!xT9C&8lI7>~8lvEQB#j_P-p)#RwC7$P}I;ZijN-SS1OU_8H z44UwUt)H=yH0q!>tdAWc?En!gezW`^d}=;gNIk>4oF~;gM=414`o(nF%Y7ntx65O| z6sQC~9E7Zhm)p5rGXa(Uiu<%esd4M=F4;}Mb*VI}wd%i4cDwh;D#Lo#&K9J5?=Dt* zEi(}!?curWPpGY=Aj;pqz6+HS@NS|qVMo3eD-wD(n0qel;#>Jq-@>fMynBd6+EKW^jgQcU3yF}6 zr(9t3yS+^n_?%DjwVb?@nJAXFwQhBofyn&&bxhGPe@T~Z>Y2Y6+E5YiDQ=bhF{o^)VQj=hcMg& zKnWyJtYB!LCdq5TrgeSTwKGw$$IHzci%jdqQuquC;2}_?OcDtMB(zxH^*e9lm>Jy^ zAVT9^CqomH7r#$*&`sQDJPX0Ahq>pixHK&kwEKN*3y3Hre~!0=pb$C4I$kyvqQ>=S zH23`sZD`?sN3xDrc8|yKWt+)v?YZ9`_*BWx^MqZz4R>X;`7jfaPRxV$Q>v;i#?T3A z0@2+b#|2d!V8FXXmrmwZ{SHW@Y35EkiPU!!87;SSfz`z%C%+MD-mC1S?Szth?u7v` zW35%?w?2mIr0|ttOH^W-U{iI((yjHX3)xC>Qd&TIXYv|xMTj}5J$)|>$`dHnF!yeY zh>X`xXS+>VT-pEb+^#NkbO&}_A|p_$#0amiuzjtk{X!=|U5uL< z=Sf5dkzD@@42~Zpm}28syr3hIAvD!=LAsL_T*~rVGUsft{|3X?Qj*OdbPr1WH;jb4 z*j0UQz^CD^JbFc+m*V?+d$)e4J4?)$ycCfw1HuL3l&f$Oa-cc%{&%ade0;JpU%v9E zbLCgk__;L9Y8^}>h(&CD@7|Xfy+jr17HSrB?(ePjPz#yKD8Gac3PE9z^@X(1n%WVt z)3Ud{QYd7JNw!n`$&{)tSR2m$)H@WQsXORkebvt9aZ+>VpB&iR{%r7BlaWAUsOetc z4YSLNfX-Ha%#(2>Ks@<81=Q#mA;?>>Gq@2s=4fwCWF z%W1H6fP)n!qEf}+Ls@%D`lG(RFiTDY!xwN_n{o+wL5;vvEZD_a6c={eC~QExm>XP;%gyQDHKxn$&wBa#0}HYjZ*wK z39a7(PiTIR;)o@{xN##@J?P7mOMqiIxrsPs#A>P z6`kYIwrI0?|J9ipzO?m{b9NJ%3Vq^O>``#1u6& zp3n*FmkUzri4EaTzI5wIBY@x*YBc`-x=$F|oz|wU`PD zPM0711+E1s(%klQPwM{T1(21^6u9{sb;S~7QuP9J`Tf6CeT7M?b49r|8^aD)HF;EHh?2Ok)_YwChoKH)H!$q&?LDtsK#Ix=I*@c2D4V*^=!8NP@5cqP(9b?qjLr6397nyg zdm5seG`=<2uF0i3oc@j`6?pwhXj4$PK4qvvYvHv_nwpT%0zjR7=Tcu^A9Sm1JUr0~ z5hryTeLbMW__g$8Nw~7F&kqzr$)n~$hXW5S?7cD`_K8hZ>K+3Fq;)Bevq6E6vBB(5C+wV7z$Sg*fXm=dAVvR&r)3d;;4p>f2w>FI>aqg;CVL6 zSbEtbr`{S$P`m!^CizlQ0_VQ%>};!NN17=i=ruQKZt8RLY(|?{9x1NHAdxD@(tf%FN*T>59^Ya(iYav)o7Rsf zDg&H2Z^k6IPd!}iW!cC%bt~~^`|3yWF>S~mV$P!)ukQ43fx}^Yv3d-(weYeBj1Xkd zOLr&ogXjU3FXDprTLAJ7XAKV#9FFK42p9r@9A}f5S9G(MvaFF-ZijfOo}9)1bexO` zz@EHjUbl!Tc;W)@KR-XDi^osKNymYXZLgw^6ar;c|m^3e2q=e@7n=klg+LF4}#9wzMKPjX%O!pgLlGg znR~%5PT}xiA2AGEnM%oPu<1Jo5YjA=p{(f)Az8S*fO&ErQ(`}P3LU@U<&RG;T~(uI zMy7PWym`svt2O8yem_FJosC~RB4!IH%-#0_wpJ!!D6VfA>_9q#;v#w4@!_7bbMw9! zqM<>I5~V0&{>noyI$PL&(-|7OTqPsedock2&>(V-`Yp?zv90i$`tVqEQ<5E%0uUK! zQ4T4ur4QiGDAs<43j~tJW08n2xys8dT=rv4vK-2BHXwW@3z@S7Gdk6Tz+U(*M zEI0Te9s}nD*^LR9meG9))!vZr6?iPZ#5?O@FF%C>0ZFArDxJc~Q-3W7i=fql>*?s{ zdOT8|3-6e{My{aIlm_Mjmr%|78;s>mJG^*AWWNCL%gzk2{`Vr#FAb7eHbaZ7#KbH7 zwBG|3qd4Nm8#hNMp{^7L??^i1E(K#`|DaJnAJy9-C@P%By?>hyarNf^ zRUbM54f>3B&Az9K+R1`o$rt+Q283YXfchGg3~3j#V#`DEQAEe>sPmXVf8#l|fN@ne zU?9uRBu?hMs*5w9an5NF2L{dYoJVsa8$5%uwr#Z@-i)qx`hoPN2cf`_LhrEn-EzHM1VCfw}~x|PpYVX0kyB_cJsLwW$1@XG!;=Ff%XU(1;NWxNDsR)PUc z+_PW;;@vhqUp-7GMN2+ncPWfTcDyJTd6=&2$ZO1=^`5Ph@mC+7X?3z-4PtswX{gVs zN`wdpQYFxQyzIH}w;b`^nVk09p&T>xqG2?^XQzuh-&+0kzQnBY2{46=uFW7~vgKj& zZg;;6F3ch;2n5mu_+{7-FuW;GASK*?e|QE-*AZIB^7slYK*9C(0Z`I_g0KET2yJ)- z3DW0N6C|cndUi5=m;exrME22u)xYngfg2<(9D3U_2Cf?9w9Q+NG$}A z2$_AD`H~BEEd4go!SS8A-;%#!i9wr-$a8?Fz%!zrirjRF&y9n>!tjAm z(-zW)^pzNis-^PRc3Q&@r&SP9?P|2TKreg7sgdR+ZMgUtX$+w3ApywoP_~Enry-~F zcXtBQG}}^oldeR^XWs*MuJ><-^E&LvYB#V$PKIP;shp7a&U^jF%m~BkRM>!7n0_g; z*}5D6Noh*W=3zNh&}Ex_S}xrJ!k+vlo(wXFGE9DsNcj8c03orQDrEi%(1ohHdM-RT z(iz6k@ZD!t$NU_96aBfEYGDwB%g+U;YPNGYdH7+O;F)eZ)!N2qwt=~BrZ=CYM`leU zYL=5H@a_mP&?`WS2^hBo9pKq^g~M_s4=6g_oD4eL9g{iSTO09T`v@5~65xd>WE>>h zwuIpMKv8dtJFn_$w`x;_CK&a`yH8H8WW>)0yBdL`(5u4ut5^Q^X)QPD!?Gip>R@l1 zLBuAiK3ui;aHxR+q{nAhpSfDoi{N*qkU*wYJ*0w<0(b#}C6<2~+#nCin-8QSsZ`Pa zPsC0=*FQ!3t$9U3xXa2Yk+b7J2-0n;i+{NkHm!A>nrR$+MqE&CupM5^Hla9@4@4LRCtKy^*~Z9&?N8*OXKW# z2_O|*Xh-O!P?H&`_^t>#GnEwH8;Dg5>8ZhNc1k*jbE>BFCL0$4NRqUDLdMh?FEK)H z<^-IoI#jhnH@Guga7pL{e?9eEdImrSVRv%l<(`0PG(Lia4&CIxjpa~7$L)-VS?Ep4 zABJ#ek;-it@`6v3qSmwx6(_r4sEp>E@|m3ldRW-yY({`5w&=h)=xEA_xG~TxuGWFj zxUp#YLkij^K%jXe-9qLVYPOrNFHe7RIoJjY0z{$eAGcuQrp!QMLtksyWEr_fm6uP@ z*W%PPl*6vtwZDfxr&>GGBTqD4Wa4d!eH8e|YNi(?B-I!~5CeJW(q$N=Jj1W2TYSzQ z?_ohfH-UM#zjqg+AIy75^i}p3Tz8p#__>OQle-=GyW%8BSJbkw1%V3r4HU^QX!&k| zi^#GwF|U28v^v|()_d_1Y=F@KaYGA`pQvG#fPM)R?U6|WzRtbv1h>n_O9Q|&utvfT zKd6MBwQe2=%ki`CApe!dGT%t#R5XIH07FkVUwK0t(0a8nwU5EKVVCJa3&_q2Sjjzr zh?dI9d0`tn^Q}c)jLy(NAqsw(2@+RbfiT2ozMHT48~rwKLF@nE%%vEpLc`V0TD5Ld zH2_GB>OJocQgGQfgH&5qchdNExbds;wH_e3m|z6ZWeV^&->h}xf|Lk4?i7>j8wv={ z2*_vJ2zK$Fe2AS??KNxMFcyBk`bm1FSG{#cZKx7Sr95_ul~|ZTVb`D61RGWqG^H0W z0#^if#>Fl$inK$lBd)9IOfQxnbsi+r&%tE0?+Y$7!DgnpeiEe{Wwmd0Xh6E7u5~vA z{M-q(->}j55;OzWE90$*4G5$fi%n~_G{KLiUOyDUe59bktNIvB3|)K>rmb1Jy3ejN z#>Q~+ILDe;`arW&1H3Q81uJ~$wZ`TrdG(4e$Fs<~2|wmsgdw!f{+;Y3;@|^EUMDjh zbjg@DIzR$rhX-j%no{=7@#^5*0V_+_h77Pi&GC67zI?xWSRY_bTosY&j$s9?h}ddh zJNqTs;00Je@{y@ohKVT4rHc>Hk)41w(D+r5jK*{g- zY>r)B`|Yy7{<*|R_&JhD?3V#xB7JDr(o}XR0@7Inx7d)RBm7*%k^bI1VFXG0n`kin z9WB;@qEmQ27_<4!n`FBEfQ`Ha7BXbid9d8Yr{gO)rq*uQ0`WzUpWBXv6Wt)ovm64oG4L!zry`s}d3ketB4HyOc z6}ZXGQ=7k)n+KiGdYWfq@r@s@WYNp%y**`-jAVu0XK)vimf6CrPcXY+WicPDapeG? zTsHJYk$b+S#;>eK8+>Fo2Cbn}j0RMWc-}!WyNxt5S@Ql{E3z?Y&_~H68q8#3bqPyTrl{}fIZBChxw2BsZ|v3c!-=;rpB3d4oqLpjyjo|!ML zz9|^4iFWd5W{p^2`Jn&d;|H@~M!?39|2p_f0zR}-r~WrG^79)whR}`&lBlo!{4AI46^1el zGW%Qk!)+}fK;8gWA)i|Z5~k9`d3E=dymQu`vTaxLLz*+cEm@6)67D3a-nc@+D3x*pph>2@TsidlH8(P(7_&99}^K;7Vw}e zj8z1bPp0=EQd^%9cWT(3gg!R?*2gD0(Dx(iD6kuDoRN9$cGH?O-|2ie?+?GS9KI+q zm5cy2YEzh?F)-_LXWpZP(#Z|J14l?En~k&r#^5+GVE#Iv^4~PXLBg6cf3AI!n&-dO z^R#iSvmh@|dqK{^ zcTFu-~zuvX5pd-Vz3gdBXTxCCszrDNF;~^bbM|D zq@CYUS0A~^!6_EtyEFk^4Phd@O^6qVf%#C45r@y!E>w1J_#9p) zb4;ebI~G6(2BmSlnrW7qeiCrWL1Te*ntc3Vw3avpQr4@+QVD3X_6xcvwDUvBE8ur0Heo zfh;S9%~z}V>!fJgEF8-KB%(*a z(!$P1%p~D@7`Nfgv38Gv*4^cHQ?J%`@_MWp0Mzr)IOQd2cC8u%e>Bt-AdN>zYVjtD zLXuSj9p|$wTeGSLQtH+k0bO_|;s|>#^J?Y*<5&9ymlUVCOC03Hfaoes^n~5k_6DsS5<&Q0)r2nD46O3vwcD`wI}Gg z_i6y@E;xYU=%S6y<({WtJ82C`xO)HcGX*5;s}8Zb#V$4P%<;)>jfe3se}pVP)txpC zQgCEnssL1Tq^U+gjcf0@vwk602fW!j#M^vu@}(V6zp7n)(3b`t zY})~Q{IbEINSjT}Y2*=rwf!4CvP2KhTv?x6dCv{wE#;`;{s*PkU870{pB%R^Hx zLFzWI|48iAMkW7s7$FV>6%UwoS%da2H2SXR06SY^Qj3A}1HJWL&TKP!P1exyt0=AE)r7RwV-2DUy|pEWBYs1hQnDoYYZ7I>J4S zngeCwAjFN-%_dmIKuE42qS*(%c8Ug05jT29gOU0l?4RR}Kcy#J>fYwpp|J zRadJ5Ipe0QdsXEe58n#|qWK%(2_7&b(X4>OfIFtJc5*v29MCMZL7NQA@mSREH>{nX zr~~cS=L8_ODYGI8r1vSZc0hKjrSPUqHNv?sNiK~Ts;iL-?e`NhnE1=efhPm601pc+ z1CoJ{I1E2H-S-UABY@goR`ARKLjW`hMBQ@ZksBEBK6N=w}eP?5_zO!u?Q3*k^ z1#86_w1_IBSc@WEYfA{?lD~bL$wTjG)nt%WgL7gD)uX<#AgX4pe%w}xeM5;Fo&`bAk21`BTrBvNNILl(Jg$+ z>u`TL$OjI4B8?L0Uip_pa7{diY%M!6?902$6TRw|vuJwJa}ph9@DXiDBgh#K;EYqC zb-5+Qxtevj#|^Dz`S&yGLyn&^vP+m;@qs$KC z*tEB*?o>NPdrs>q>1FWw@bjU?7$qs^1|pNR$Y=+UfbBJ>0kQFLY&5e|@y2=(>To2H znPP~EM(6Y;p0jV>UBaPJB%sqE{Yd!*|;bb$| z{NOxB7#zz8zkgq$SdU#q1dR+bpHciP$>pUVBw$i~aE8n48vN+7_Q!_i>w(NiK}Qz} zCJ=TuHXJiEGehXbQ5Mi98P>S4RaREo#9@k-cGtABZ;FrqR6Ki$W~NVhDGGjynw}dF zsPnkHyEnjTApl2jA?1X4K@Iou@j?8qba9-%8us>=(*);kHj^=-8XBkKkPpti^fkiD zyzB3$0XCr(oGBHy-L%j{YAq#1&6O}qqvYkYJsdnLdh1?|z|6p88Z48fqEDT<2yRk5 zY~a3c?NzqtNvT3ap<(@#`hf=w*y=QCcK8v&C)CBB)>$XU`S2JoJQC0PEs9YL`~+^w zitxnu!7W3P@*)rakuZ+;vaH31<9NC=D%ZEdmkL<`n!ULz*QBPV@i>%Fpni`9l00DM zJDMt+C_}g^gOO27OGrzFb<5j_m$eg)hL-rus#W2dv506$%jNNJ0%s)|X1=N(&Ca_7 zS5guRdnWlZGwXb;w(Q*tu{1D33?m6GJ1&Zo3rE%$^)dZLY|87q$FmXzgTvYSqnvFn zpY339mWx1}_xJ^shXf>vI8?ZXHK*w%R}by*9R{_RijavsV1 zx>Ir9zCC{0yoUtpG{1iTX6NNS85b8PEH17LMsIL4%_+-$@`GF#p@2h99?yN6OQ)ZP z8f9tOVwZ(u9$0Ml-t6jCmB#;g0WiPfV&GOq{F)9X1mIRwQCDy8WDR-%3Wg;VB4QGf zFtvOILqo%qIM=-`SLA4{Hg8J8*2e^!NH_(aWpqiSR-hKG+1`gl~L)&nkn#R0{S5Q#N+gsvoJZn5`Z4N%Z7h($BypyZ8 z>*G7khlCpoICUOLM~j{l^CuOn1|k!VzP>)anByaTKlmVcdO`s-8u&f{B^QE~sG_3c zw1P~rb~JBt;xjYrsU=g3!$4X-Bof527RA><$Qv0M=`vB|VUC1uNoV4qP&2a)dgB$y z$*sM;tI-{*dWq(NICWk`j(0=Ch;YQkYdMfz_xubkf6BYAuF%rbyN@?|U&lBt^YZYt z!nt4Jdo$YjgoJVx^wGSPo&u*&qwdY17Jj@iqsJg~S~gCf$~^3x!Kt$ z=f-u~QQ!Gek?(gM9Z%EHM1W|XvO5AL>wb0hrgamp$i;|=%h&MX+zR$K1u&6EkD+%s zyQ8xWn#aswMXm-#KP$f>FLE>;A%5Waw}8UctCto5)kWs!a)73l=iUs*;m>k$DZaQ) z98y$tex%Wl4)pM_+}z0|(oE9NjeaekpIyGgi@ig$()_q48s>D4AJ&4Hl=Rx=%P4jZ z4%f{k)0(x&)Pv-sTe15f9~2GRC%`AdOB2MA_C(>}9PfNi)=^5OJY_N#{HH-I zThpxT%}0eV@tJk2LLPVE9>vNg(Qvgv5B~4p=Z-VXD!jre%J!A-TRc-SOLe86xP`Nj zmmU&EJ0aGFQ8vk05j_1gO3NCgg4_$2Vf>l&WR^PUh?7!@!Ib@lhv-$Y6bPM67ixn3N zJ(bW2kUky+RGgeMF58v90V(naC^2XKaw{!lX5-`GUe;>rx^#SR-?kj=2NxC|6-Wqj zrgnwD^e~&ge^JJ-^?LB%T16nq?^cBc+jBy;;9B<(I&(d9Q&mmECt@i_GnBIv30LFb z<=5*$iCGh_v=UvmVz+P-JYJ`Ds!r@_+0ZtHvlsPbP5*SIv_w(-n}}xQnmN0hA(rjI zruD(67=sV?|830!*cEyN1O#(`c>Okt28?FE8ywZ?C{jFlBsFSk)Ybba9-fv|fy(g&zxuxqk-&%C_SVRu0dN^dVec}IFAE({?R^+~BAJiR z-1-eNR>IfLME(KCLwF|)qw`fUV>wNYpO+8Q8aP34oLNLn_zk0264GBhE!*01wV2j~ z&GhdTM|kC6dQ=ur!T6gKkdA@{O^-Jvf=O^{{OE{D@kK;}f7Anm_wNN1474=2e1URC5CKj)V)Lu^88T>#@uACW{5i;5bq)V+k` zxb&qbp%qaX8iH(^@c6{up6JTL%j3DeRtGT=mXtyOZc~${5Vhmq+VwGg z&T4Az1|T9AuVZk={+t*tMlbG!YV<9RO--hT)b{TqyvRq|*5`pIn5*F9;kmrK@$W7- zT0?^8Nnv>BZWi)X&GtF|5$Xv3nW%KzX?3LOtDyfFP!5ne#&26A*!sb{OIxHE5&*_2IXdh zV96D@c30w4rmnfs1yT5q{TGGf$0#a*`Wy;}j=&ReR!Zs&F#X~2@#Jl7Z3&Ma8BPQa z4GpcVth4~*S>dh z2_;zqloAf+9&nF-`}R#(y-do#o~X<;EUc8 z4dQ~P<};X`L>6Dae*I)I1-@lP9?&cS3NTU&42Oc6TJL4ZnW(?_p!{YViJs*-@t^*J z-4|ns{R&63ws670+6v3}r=48h0*=_9=jVU(E|Fu3tW;Cd6&Lb^EXm+g+2G8~e<7Ci z7RK-C=_ys7V`FFM@Y>*aE8oQ{SFXU9HWGG-CKdfS;e#($ezAiAJ;S zeXsSD6#Y^N?|y3oB&YvXw6d~#%wXg0=4KO95NO$oKB1+h1*DBaKHC1FwWQA~C#vPg zkNw2>*~!T;aDM#+%N=~(jcV;a;x}R7LXFfB;1d*gK3^EZ8yq~w0EuFz^1NxED3#(P z!6^L`j{|y@ZtI|oO015<+n3x!L8udW!M>BbNILd1Yb+fwCkPYgZ$i;>> zbaYG0Wqf@6vmzptKwU??c)H;P?-gkg4~_z#k#*g;(^80umX4H+x4Z} z$Rw+fnarAzyWY^V_#rjkK^L+)Mr396EABqLH1p+;wCTrjS=BtR-riuH+~A4!kfE1T zN3TWwdJ`J)w`-~!+Qi^UA}G8o&1?u7xMq_L8FuvDM}p8W9BXTfzH==jCdYxH;>2`M z%lBCxKD{KRgcsRhGwXke85LH@u#Lh2b-tM?AJcKPv}$vaS!NG_lxPEoAK(xV1Ua2Hr1{u``0Bv50naNmZm*09TH z%JDhge!fWef(Dl=b$nB`=(*HZ0C7b!S$AxJzdAc z>R049oQaN#C;Ht(B)5GnK>Y~Y=ybj8R3mmE;m*8d7rU7WRHkrFj6u22)PjV(?j zIi8rZg^GJ>v$fkc|YqD%r==WTp7q-F&a4&2Z_iri#U@tz0thgSU;N;XoE{{6dl!T0U z=EV4bhOZ5vyOxl-Am>q1L&JB+RjuC~wqpFXd|Wdh0;C<_GhF-qp8+$#fH_6&a2dsl zSed2X{hLNFD0f{z!$1Vl@}me(VUAZ<1Ro&ZjY=;eI1JJF)(f5_QV0IuIyej zd@&l^#f#K}f`U-Cf@5Pz5KB#lv{xBz&bgxy+Xcqpii!#`D8r|jnIA$aXzT1Gg2Do< zONmP}$eP*E$b**KrX{~0J~(K|B<)EGHC)1DPESD5yjd^R{py>HnYRu9-9Mj`+Mtwu zuXgSP+=6f;mSB)tSzqq}g#lnpFns&W<$QEX{W3@u$XD5gLy-qpSqoIh3cDVbk>()Q ztiT<6fu@+9utSE_j{oH?;2Z6NQ&MOEFckE&u&~5|*>oJ(qN%0%@p0{fQXoG7Nxgw$ z;UJ@rJaNv>eFAl^-oCzx-@geX6r^v!hfu)}9z0N%8U;b#_0La584xKi(Q+WGdW4X380+?cYap`)_~Ljkt3vJHe=Q|k+q$b0(@l-!6c&I8nd+qjIk;FR2~ zCIe0_Wyu}bedDMSC(wXf0SZl#T`d>puDc-g-~D6zr{3gaLilNgrL%vH;P6y7y147X z4fsB*;K)d#RDPq-3hPdNZ&EgVI0X{B+x^zwJ02 zM~Jna`?>GyIwyMOfns6bocPh@4Dd8VKE@A#Axh?sS;mI1JN* z5Y2S#Y?CCH@axG?CrR+I-i?Fu!Q@eH`q0n;2pP06oM7eT#DW|eFsB!rB*>hoVj{}yLV4|Sb(a;VEC^Oa2s;z~xG#c7YB4faA)&$$? zfsK3Df88!c`LH#YQxvhYm*h8KXrqWPzgkf-DqmGUa|K79A zl(9Q?eVAX4NKF+6*3Pr7-&|E)J%}~(=?~*`M=j97u^6?8aY}cbu~KxMQN1v!FHXuK zGB6k+5Py_P;D*++xV7P)jPi0EENizLC+H&xv~^xnOD z5|WbFB=^$0o}WL01~J4ur))bhQK)@mhkg~5Ec;xNl9DQL9`GI?D^&i;+m?G;ruk-a zvNXDhQrKRP9pnm1;~!vzB?E27+ppHC$)GN*6M(KSH?%;OJG+)MNys)AWjf@SA+6;I$dLUDq0Ga9aU80HPFpInbc7(&7jyO<*U->bfFo<5q@)yyKkYCrU(nUEoo3a@@V`Xg_!9+xm2DVi ze*|v+E#xk;V7K=;6XLC<1nY59)Xmm^N9{&YgIEPLhW;%$B}d ztL}1A(k9C5jt=uj-5nj9(FnSPoqAxz2FK*v)Kv2j69p5Uk$jl>XW|fiUFg(C;UDqM z+L343$nfu)vDrM4o1&_!N}(XAd4^_sLuz5b!^88sxjDa1fs>OHnUf(hAWtuRHYYnx zj_skyh?uIXAO{Dy(U>YI1Kq#&s6j`@i>7rs1Zb9sf>-I1Qc}U$*$$-H0Cg!Pd_E;x zcc$Ybarv6Ex7f}#>S@g!r_bA`#6V(smwu0*KHTf3SBEgS#Zy*A;nt7e}M*q z+{)T|b*51iJbJDBE5h)ajF#A zqlShC3G$cvhZzmyJZfrdwe0OB2n`V*9|{yej`z~yEEBm%Giz&6R#w)6je!bPr3L6q zOG-*A0kvA3I%VbJ5*x(8L^iuwsgEqSLM=KXu^~*Hj;G3Z?cV({=Covel*mZd4v+rB z8T*G&U{uFxEJuBty`AKg*L)gWL2LUOR^P=-;(_x*N0Nc^GFS;%Lu^48_vY z(mvQ9&cA??gv2%MhdnMG`yk3V^mc6Mo>4Y_@6yZb?QeN`U;1yGYSYK zcW^xVSeK$EK-#3x@PsP%_-Hk|zN341dIqC&LD`DDd+GVZ%aM_L-j$+cA0U2vXv^%9 zNT3c44N)$QD1?9=dQCiByr%XzIXSWO@1gYiO|ARV`^xRAa$bIZCBo|mNE;r{G&M8< zg>VT9VtfDik%pn%zfQOreHoob8#UcGgTNkBjVT6c_w7swWO8AA#Z;`d6`r&X6vtG+gb zh#4vTDi{7VeSuSlCO@vMAj?d08VX8>X95!|yCB8Z!I=W4yq1&{MZy-yHDaoPAvxyP zdwS*MsaLZ9KHLe92@-h$t;|3BFV65{vW!bAftvMh$OCFv&j<2C>VCy&i|&8GNPJP8 z?GL#4VnY-eE@?OO^&Av?61LYWwNu#fCPI<6GOwT2n#x}=s54H zSWx=&OZQ2*Uu$E>I2OvB_)8mk3zEv6p?gY8$F3(ONunk82Ir`tBPn^}OnHVlK<+mD zfj33H0n$V&CF|Oygfut@l`jadkIubiry#^W2v7jiRc*jWvwYiF@;QfO3)K4yy1 z8tUA_LNxMzBvkio-rn92ud~(PYFRjo$b;P0h*4mVu@531-}(+bJ|u|@R_rlY1tkQ$ zXCLWcJ%~dzKNb?#=Cs>atM&+;2JQdePfz)cTo1X?C=n4X@V zwvo~GtW=TV`^N6>Ptg|Lfce&2%HpPzr!{?fMy!ijXm z2|i@r(s#AB%@a=cCBNe{0O*rMC65e}diQ`ygWAI8NpXueKoG7UD{3ggW4`jfuCC>$ zisw+|Soez}z)Kz^6w&S5wPA!wd;2a`5MlSRh3Xvnzy9kaWq^P;0I6~zWmF*k0I4zu z1_tJV>)lI!JiJNmVgcT;RI{r@Ns^*l3SexAeOGZF*>Es1TMx}VFQBB&!e;6p)Zx+5 z%j3-tE~9p1J#*$v|K#N2?2-Kx%7%9GjDVeFg<09y3Kuq+(?ShbuG-t!n2bbMgaAJw z&G7~W1!VxYAq8l{K%0hHRUJZhPRrddy`$!9IyXPhqN1W=1+P^^W^uGoGw0K%t-|Az zZ*ONgT23|pT~TQ79Z2*24cePdqWM8S4!iva#|M+<5qMCLSO3TV^iY$umNnBqsK&&` zq7n%ufeU=EXT)qfvU3%u7XhG7n~%0tRWZ)Y z%n(BvS@_4_*?&H#Lw0C%bQ^eh9M4wugLEF&H6V2L?{>l|i7iYs2pI6=+>~h*5bN^t za>7jQ`}c2Q`^A`P#DbrK3Ki#Ws7&qtA%rR>ZpnfGVmVvA!kH~<7th63{Y!iL)-^O6 zj&?uwoA<=33eC^YBQU%{n;#5(G}1pLMzvdLg)mWLm6eqp`zK!73>C?&XTgP_mUU&SJ7^ijpzSNta0NvI=1ZK~iHpN+;f=KwYMx5V|T{me1Q~FM5F{R)9ZV&V^hU%c41XU|jf?=26yOtqPhW(JF?sck{@r%yK2hcx)EEc>Iy;!xPx*;(1s zQ>GV~X_S5biLj}WQ81JfNcYCd;dZJ1&n8xB+y}wZ+H(u-K{u9d8IHs$f@1HQ$*s8+ zKoAF))OL>_@4^-d$MBo|=h4woCg8})?iYNh3d1nKKVo_v>kDrK75nbz@^y7}X~t5r zXx>6naxgy-k}m5rXBx}=eesUc;b@1u&JGBkIjxElz}LAfDNx8Vp;#1`wlgV)QvdIkd!0O+S=N>pFjVG z6h7GF5cVSHhb@z7sXg?>Ze4u8A|K`5s zLv5Kr|B@3h6Z!DV0PjZ8oSP`^R#5~61t}CV?g<-5U%fj@>#>*wuj80~z_BD4^|nmz z_3iygcBCRkgDM=c^gy~{A8_Va&r6lPa&of%3+K*Fw6NfwSHklt7*yZ@9)A!FRED9r zr*6IKs4~}K|Ggo1f)nE$0RaI}Y&HL?*{REozL=t3is~k$x83nnF(M~M#7)C4A$2?# z4^Jq(!kB^b{$*itXN1*gT&4^KnK(vbVnxKORCss7k2#Z29 z62V>8O?D*6Qn@!u>Yy6WKD5KRBd&tF9WC#DXf<4S3%>Yt}y36ZO!QiF4IWym*C zKoJHCiu^Yq9twM8K$ZoeAtrSI%Qzbw8|^y^ zvUlXRPUAr;gSdsimlbXg#2^&A@(^|g4icldxHu0luN67t`_D-X3=YaVwn)@34|j7Y zo_WhoC=Gc3yukvHLWYrvX%NMX`I@jN{$MJ?;U`k{_ANL9Zj>n1S4FhkN9s1|2Te(& zs)^=QGOj*g(2azFfaO$E0R~m6Pzgrj z{W^32;D+A4dlzovrCBbRj{y2XGBdXlGL}k^kdopCWkSdfu*dZZ!otFhIVRFajg9X+ z)YjMYqKS&6Y~LXyX7K#nm#!20Tsn-0hKC(GkhMV!M!0)=HWi#Ic0Yi3hhh91tZ~O% z%PJ!{`2g%tAWn4AEG%|LM@MU;#i(=maAejJ<^=F+@SB*V4od9ay%Cp4m_2LI7zr~F zq?gW*B=0X$^ZVmSuP|pyeuT+%7xvUi#E>YYJjZDj_r6QOq+mdfZ+?-Rn~U!I2ggPD ztpJh#yNinTCod1C#i;}94dx0=%!8)Ui|v(kX|)xE3|=(WdB2>zn1Xg!Xi-toM+G}O zyY)gsPv%vWl~3SOf`fw#77|jD0oNQlfO}1V%`A4j2Z)LShSl!`rq;pWYZctY_PLlW zO|C!M{q|F)wy_vCM|e~e3vA*;`}!>FWySy$fmEfp>sFw?J8EI^Cmn~x=i)_C2<<+Z zp?b1eYxT7~kAc|2W9;pOD?94tu-MpjYuWkJrd5fCKAvimH2VF=4^1$i`vQ}1-zMt? z3f4M-HWe$NxCaALO3KRRNEthJ>~OzuVJ(G}0F;(jJ;D$QptS#J;jxMW))HIRDYnl$RHFr3_5C9PRm%v;VFmMt$h`S|));(~7^LolyT zlR5@=hD0rtZu^h}telh9p5k>a}QJ-PT51#MJN>IJB3^F?FqBK5io<2A@Cd2c3RsV@OaLU7Zf=}Fqab--)to*nu75kUxL8Rq zRecMTxli-*@Sq^n$<7Jy4Y0)wp^@=A>ER(uA#4|gc+_CP&>D;g6t8OuOv9!mO(CDJ zFJ~>!o;4o!I(B;y`RwNSy-#X}Cg{2Bj~nmnqioxDZ||sS+hU)`*!~`L<7J`!g>Ky% z#y*ISlIYxUL75I}T58K|e}m=t=O`29>gVdOpl)ql_`RsV@ne0xzTDeEE5P!r+gY$? z&C0ZaeuY!BHx(V47{U1F>{;vU>x$wG1u*oOleqTVH>lk@6Ie2EvIS z#B-opCQ$rzO9^|!{lW*cvEV))wFXR$=p$tsKYwMEO`24-u_XltlBjwSAXih!E90AF zG+<<81Oe4Np+SHA))*4{&2ca26&xFUfNqEzWTD<7juco(i;=F6Kj+v_RiDhWUSnS5 z8jB8tLm?jz&)A!}tN+<$V|fWZ0Uq-|Y;aO;(MiWELFgW?i%4To8B6=6{Q2ij9zMQL zeklNp>YkICr?pq+M}@%v$(-dpU5{YrRJze;kBQPgVe;vy#$ zXjUQ_)gOVfN-;jj%*jc*XEdMwHGrf8fLrYV!pPRLh+6uA*f)p3>w?N5s5;9al>-T= zUNoV+yc|?BTrppUqL-5qxU!5&UKA0)(%Cr%L24V|Bo0RfMx3N$XUj)rUOotba~L6u z06>Yk7EpXS=t2-!5nQVgmD>NZVZ)f~u@N7XZTxs#1cr?+W2G{RiwV*uy-!c9>D>nr zm^0%;f9>1sY&GZ*#JCuoPSl=Muj#bsfQ5uLd1x$!l8_1G99n*Us-R~>4b$>i0*a(YB*6PrQ$j-;Npa& zzsE63z5yKNM)(2&y+o3z!z@w-sznEFByD($hdzG%o7^fsH-7znQZDwk1omVYNCo82 zjRZh|k>x>lZml^+N1Y~)(k=5JJXPq4HO7n0{d44wB!a5CzMW+oSbZlaX>83Zka*-Z zYA27GnMvT0aiXw_5COgV21i?*P=4f+5m^crc8H0wxVgDm+1dgSHq~uUxN&0}jg5 zS6vh7w~KqYJh;p1H<@+6Na?Zc@0RxX|3{_C;}r((4*%@ruk~VhI4DI|=MU{CnwG); E13IG5A literal 0 HcmV?d00001 diff --git a/Questions.txt b/Questions.txt new file mode 100644 index 0000000..ca9658e --- /dev/null +++ b/Questions.txt @@ -0,0 +1,11 @@ +Machine Learning ToolBox Answers + +What is the general trend in the curve? +The general trend of the curve is that the computer appears to score a higher accuracy on the test when it's given more of the set to train on. This is apparent in the graph in the repository, as can be seen. The x axis is portion of the set given for training, and the y axis is how well the computer did on the test portion of the set. Given the increasing curve, it appears that as the training set increases, so does the computer's ability to score well on the test portion. This makes sense, because if the computer had more to practice on and learn, then it can do better when it's being tested. +Are there parts of the curve that appear to be noisier than others? Why? +It appears that the first half of the graph appears to be more noisy than the rest of the curve. This is probably because at the beginning the computer still doesn't have a comprehensive understanding of the program or the training sets, so its scoring is a little more random and insensible. As the computer gets more and more to practice on, thus “learning” more, it becomes more confident and able to answer the problems, as can be seen with the latter half of the curve smoothing out. The noise at the beginning is probably a result of a lot of guessing and estimation on the computer's part, and towards the end the computer is actually computing the answers, thus smoothness increases as you move more and more to the right. +How many trials do you need to get a smooth curve? +10 Trials obviously isn't enough, there is way too much noise. I then tried 100 trials, which came out better but still had noise. 1000 Trials was almost smooth, but had some bumps in the middle. 5000 Trials (the longest I was willing to wait for this script to run) was basically smooth. There is a screenshot of the curve for 5000 trials. If you wanted to be super scrutinizing, there is probably a little bit of noise on the 5000 trial one as well. My best guess would be that 5000-10000 trials are needed for a smooth enough curve for machine learning purposes, and probably an infinite number of trials for a perfectly smooth curve. +Try different values for C (by changing LogisticRegression(C=10**-10)). What happens? +When C becomes 1**-10, the graph shifts up by a lot, basically saying that the computer's accuracy rose to almost perfection. When C becomes 100**-10, the graph goes up for a bit and then just tanks down to the 10% and stays that for the rest of the program, basically saying that the computer couldn't solve the problem after the training set got too high. When C becomes 9**-10, the line remains roughly the same as it would be with 10**-10. When C becomes 3**-10, the graph once again gets closer to when C = 1, but it was less high in accuracy. It seems that as C gets bigger, the accuracy rate becomes larger and more precise, with a larger concavity down, and when C is smaller, so does the accuracy rate, precision, and concavity. + diff --git a/learning_curve.py b/learning_curve.py index 2364f2c..8ef5678 100644 --- a/learning_curve.py +++ b/learning_curve.py @@ -1,5 +1,11 @@ """ Exploring learning curves for classification of handwritten digits """ +""" +Completed by Kevin Zhang + +Sofware Design Spring 2016 +""" + import matplotlib.pyplot as plt import numpy from sklearn.datasets import * @@ -8,7 +14,7 @@ data = load_digits() print data.DESCR -num_trials = 10 +num_trials = 100 train_percentages = range(5,95,5) test_accuracies = numpy.zeros(len(train_percentages)) @@ -17,7 +23,26 @@ # You should repeat each training percentage num_trials times to smooth out variability # for consistency with the previous example use model = LogisticRegression(C=10**-10) for your learner -# TODO: your code here + + +for training_index in range(len(train_percentages)): + + data = load_digits() + stablizing_value = 0; #temp variable to hold a bunch of value for smoothing out variability + + for i in range(num_trials): #repeated the test for each train_size value 10 times for more stability and smoothness + X_train, X_test, y_train, y_test = train_test_split(data.data, data.target, train_size=train_percentages[training_index]/100.0) + model = LogisticRegression(C=10**-10) + model.fit(X_train, y_train) + print "Training with {}%".format(train_percentages[training_index]) + print "Train accuracy %f" %model.score(X_train,y_train) + print "Test accuracy %f"%model.score(X_test,y_test) + print '' + stablizing_value +=model.score(X_test, y_test) + + stablizing_value /= num_trials #take the average of all the values you accumulated + test_accuracies[training_index] = stablizing_value + fig = plt.figure() plt.plot(train_percentages, test_accuracies)