From dfc5e225053a12bd3f912b8ccdcde14caa5239de Mon Sep 17 00:00:00 2001 From: Benjamin Neumann Date: Thu, 30 Jul 2026 20:21:13 +0200 Subject: [PATCH] vault backup: 2026-07-30 20:21:13 --- .obsidian/workspace.json | 14 +++++++------- .../Anhänge/Pasted image 20260730201418.png | Bin 0 -> 13436 bytes .../Anhänge/Pasted image 20260730201734.png | Bin 0 -> 42230 bytes .../Anhänge/Pasted image 20260730201944.png | Bin 0 -> 23730 bytes .../Anhänge/Pasted image 20260730202008.png | Bin 0 -> 12474 bytes .../Anhänge/Pasted image 20260730202021.png | Bin 0 -> 86817 bytes .../Anhänge/Pasted image 20260730202048.png | Bin 0 -> 53678 bytes .../Anhänge/Pasted image 20260730202055.png | Bin 0 -> 7344 bytes .../11. Shor's Algorithm/Shor's Algorithm.md | 16 ++++++++++++++++ 9 files changed, 23 insertions(+), 7 deletions(-) create mode 100644 SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201418.png create mode 100644 SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201734.png create mode 100644 SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201944.png create mode 100644 SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202008.png create mode 100644 SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202021.png create mode 100644 SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202048.png create mode 100644 SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202055.png diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 8346cdb..658eb76 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -216,6 +216,13 @@ }, "active": "25f5b25d5eca7203", "lastOpenFiles": [ + "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202055.png", + "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202048.png", + "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202021.png", + "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202008.png", + "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201944.png", + "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201734.png", + "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201418.png", "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730195353.png", "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730195332.png", "SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge", @@ -226,16 +233,9 @@ "SS2026/Quantum Computing/11. Shor's Algorithm", "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge/Pasted image 20260730185144.png", "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge/Pasted image 20260730185053.png", - "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge/Pasted image 20260730183145.png", - "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge/Pasted image 20260730183136.png", - "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge/Pasted image 20260730182117.png", - "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge/Pasted image 20260730181941.png", - "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge/Pasted image 20260730181449.png", "SS2026/Quantum Computing/10. Discrete Fourier Transformation/Anhänge", "SS2026/Quantum Computing/10. Discrete Fourier Transformation", "SS2026/Quantum Computing/9. Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md", - "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge/Pasted image 20260730155153.png", - "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge/Pasted image 20260730154444.png", "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge", "SS2026/Quantum Computing/8. Ket Notation/Ket Notation.md", "SS2026/Quantum Computing/9. Bernstein-Vazirani", diff --git a/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201418.png b/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201418.png new file mode 100644 index 0000000000000000000000000000000000000000..cc47752d2d80ec03393557ef6ba6112f98ba1a3d GIT binary patch literal 13436 zcmbW8WmFv9x8_3#ZjCzxNN^4Aq4D7E?(S{@n&1}PU4lCVZ#=kraCdK+RMk4&b!wkeyY~6*XNStmilZPBAijI|4ni;Th~X@%?yO{I z>g;CVX!1_n(Zs~o$=uFaR|Wp{C#;u}B0|dUy2ly(=7fKnPmAnx6nhzz^Fuz0ey}@7 z)D~Hzgr*^vSck$TsR(Cof)7MuZG!KT0Wf-thJ94Ti|t~jLH1`8~+pj|U4}<)HcO31{gYT+aDD3hLa51OZz1C&FL41%v(W z&=|w^gh~IqnQsu<6u0zhu?T3~&+pn#m`nulK?v~Sy!2e~d9HE5B^O}$g7J1l=+QC; zK>l{_jaeWt6AHP!#WHu_+OqMk+^an*q-G60_;gA~d7bozQ8 zK_(=0VD~0Zx(udh_jiLWd0nS9YaaW|c!egVulqT{vqc`k%PgbOglDs*%xbj7e8pW4 zM#Zb~BS|>JpP|LT!l%F&#m&6n_u(&jI6KJOiV@FMv0Aok+Ark#(?2rk^3L6!!nyL| z2!?r0lu2=8hmzK%hl=coxgdYlGb02W*ZHg0+OH-AtUGneyLfr}xjdJYe-sHUuOj0S z5%z5Cln>nMg0Id-2U_yxMIQF;pn`iA$3H@4!& z$%$pZc@NxnnvHqPX{!JICY;AotBlEh{diWv4=ljmRAx7Com2T@OoEfLqX$}8T*nK9 z*s#qZF(X6ofb&oBp7!%@nBnr|{UOca;ANNZEFv%CqBP|vqXV~P;rDSw5vyPBhe;#O zHMF)?Bl|o;o~_cNM^@urItX6v7=UWc2&#+PHw4{?k^G1aezH|%VH4Z6AQ2lCd!TC} z$-NHYZwXnXdRjpin91j=T?^hP>Gs2@#M*4cIfajCVMor@(_z3hLXILruZ)N7B8YKf zB4divH;mpMqG{n04|MSsBRLU&>O*+i{j9tyHe`4O7IpYVl=Q(a9A%@3&DY3 zEMk6w{r01tfLyf9JSZMnaR2f&cQ)l8Hh*Mh=_OOWzZY|$OK~Hf}@H0a>PmJJ%7I+Db|krytvhp zh{1xeQA-4$SDHb9{(>-*#AYKD&jZIGcd%PeAO+e?%SQVK#rg7V*5W0JG%Z6Ktz#k* zb;Z14>S<4j zM1C1ED^Q3Qa4+Vo0IxR6`z~)NX$@a&GZHeBES+&k$49(xl^_BwtQf7Axto*LPY5{w z7NrJ=bx*<4Cqk@T*fN{VNt%nd=*)lIarCVv1YKB0%9V0k-!l)WakSN_pk8uEjQOBl z6T@A1!+WMC8A11Oj^B>Pa5P_d8QSo#rA1|G zt(AhX(ViFFJ=-LP4_RRCdf5UT=EQcVamSd$s#Z~01YB>g@*Uao%)Sf%Cpv7url1>7#O_Fvz@u3i|F*mj ze2n$H{RcKmp=~Up!dST@Og-i$81xqsXVpXn>LNQpZCa5`Yrh($a+Z zXqI~g$|RZ5HOTKhwWN&;gFbKmbTSF1hTD2_iV$!a7r+m5`Q#y-VoR8Ft-k+VkW*ea zRUNuz%rQqE32yKl(3Xb^i*O#*J`;8;O)qlc#SuyCH`JrAkG_dh+roYo2;KrAh<`3m z{SG*%$zkMO1?x)Ej6qqt1)7ELg9hnH>$f$%t767bG6TZ}UTp3PLfjOaHJ%3f4`nmY z!J>>2Ekx2Q(ih1=S!ncrvCbjCwhfsxt_woHaq-hh_0 zOb+UUp7v7`nLyr;oMt8dJhB-_Q1-O9mY~8k*`0W8CHE`KfY)Sod(AhdBlei9iId@! zOOfcql=Ras44#y1ZbEsZikM7$_IX3DtdwaGcR6uk=b{8Np!zIg&BOoeq~AyME)m&+ z&vki{&y+LVqUz$lyg)Mw(qD7ia55{;B0446ccR|dHfgl{O+zoL1*&R=7uZ*JYO zuCBp$KNAfG9?ftr)+Gsv8*W@QUvQ?g43K6%BCk;9v3?4j<$Zz)4p%8a&79T0s48r{ zvmcgn7h^B55g$x;7&L_+H1Kv$*SJ@viy<*fF-uUZ$#>6Csd%ZP+C;LWin}2ALT4gI z+)B^M1acRWq6@VALW;OfMsUkU){{luoo1|QKbGH(`l0uAzatcc?}ziNd7Keb(h zoGNP)g)5wu03LC#UnMFxDZkUHM3Ep`pwy#we~bq7r*1DGIx{ ztVjk~E2}h}14yOuE2dY60PaL}zmTRXKKY05x2HYsY$@dcChnYhWl8GIl!r#lXf1Bh zh0u0Mo%Bp~RfP3lkf1w0wX~!FHN=Q#Ctj>1p7U0WF@^yayFxCxmYr+WE2PI>mGV>T zzwrin8DBDW5(zPYjx3pEt05j@RaOf^7tz7rsK4x>12JPUahZ~Efnc9dphOGRVs`C^ zDB}a4OT-+6jmXip1U_(6*Jc?K8A~>SeH4XXqVrnSZqQ-OqJJT^$ZlCb?4s*zz@DTN7Jys8!yjVG;GRJri!$^!RUf$%SX1FXD- zmM7j|edZi8KibBXf>F!+ZhzB|9cT`IZDAd3iBM{r^T6S zh6MSPPn0JfS0b?qI4M9)zZBp}EBFcw)XA#Kz_`iVARw~9pyPnD=5Rg^$&JY7aI3Yy#ZUsbU^^!b8oqN z_-YsZl9`VI&*@h}l0p4y)$sdifJq60bnYYxJ7oO1dny*0V!62d+3;TmNG$T+E8icc z`(uu&ea1z!{G4VlzjdIZTOb5QAHAeQcF*+odB5~d%bQ28jit-Ln>2P~y+*~NwbJMN z@Uy}B(tm%Qd7aLV&pWR987MJgv%M69Q49IGJT(gEet(7ktnu!OBTp|lf~V>-?tbia z2m@HdM}AF)!vC_nzdAn|^k`g?m>}aQ=o;1c<57mb^^d!y&F?tx%+e875O!I!ZFiz- z>nB5x&wjW)yw$$@4w;H}1lSk9SI5**D;C{u~pihX5O=u$Qhf-B6o0r=pBzEkk`{*~9xQ z(%RDQU3M-TVtb+RszBCw@$DiglsgTKYcmAfHRrdj?Ho87X*0Bn75;hipJ9nPQWv&T zWfsg>p}xKqsT`Y7ugFa>wwziYQ#oinY7Mw1^yG?IQ57H;>p!*Lx&V8~eOc`u^+fh# zH;IhVj>Z}V*M4!|?b<|=y1tMijaMdr&vULGW~>-AUbdeh1b^Oi!Hz!hH&Wx8ocHLD zt@O%hfN0OXa$=_1y^BQM=tVt)G&2#W{Op|I*(O=M*%>Z6Va6EBd}@6dCJp4sHTlCK z^d^%S&Atq|`!5}%eSnK%R%UpTiC6|9OKeG*o`F$sL+~iqn-6=}z9N3ddy2`)!?oJz zfp@-&Kt}9=&S%vrnTj)g=@<1JS)U`R0bf0GAyD=6qB<0*1nOYSc!dho4|sYsZkzVD z(d{g?hqQ(Ogv}m zukeC6*GQN%Xl&B7D%S-qp2aYvE{Sy};wD$XO&b98AZK-)DFH zM#wAk#br(ABzJsh^RhAaYQT!HdxZ;soAn&~M-88==!4=fhcj_J&E9S?_fO2OBW_eD zs=X)K-8`)_m@o}ShLz!9!N9*d8~0;=DjS!+-*X5$Aco?-`jyBOdTZCsF=G@R*4=WR zNO8d8)!?2K)3OE zj0fJ&)RhQNoa~}IDO^TgM{>K|oBnq%$*N3>-Kd#kt`Rb@oU`lUNzrRw{Ev05m{mHW z1-v+xUK}N9BxOMK?F7fJiXyVdNb)dixXD9;RRd)&`R~6?b8dWpFtaY@yfP016w{Tj zCk80(vx06}+ucD=3(V(nS@5_V#iBib<9Q&B?gV{Vsa3v}ohH1iuGZ565p^6>;xEdx z3M|9w>)!3C!lB;GdZ-+XH>e|lVm81L)k2z-iD_wOXHrP7yKzg^i z|FrY~C068;4AYP|CT_GOY_ux0?hkWl@zGPWc;#2;UzfFNViQkdr9-U4{y-ONDAu~W zcFPIlTwz=m0w8>X0e^Y7;FbPL<9IyNP%MYbG_J$MCegmp(q7ihgldN%l51DO8cCR0 zM3hxAtc&{+s$1*5^}3(5v0hXVJlO_S029{CC_1@mfL)dFMMf5Ijf7peAETp_@hjO>b^N(%GC zIW*X+P`f{~j-x_3GGr*1H)A$5U^y8$9i(;Lm+M{}gw!~D%O=yX8 zgDxIEl8L|%Jn*q#UkJzndMe@mlcSLXNw2*;)WwYnDc}Q|P+oyrMG_PLdNh^)`EErG zOhOZa*eQ{En9{db0;iV&gGja`v+|0hz-``IR$+5n9`bx{V~v}pj=BN9_S14B1(%yO z%uK^3$~TLT%)MQs$Spx)#9VHO%%q9(^9qli)g6_6hv3^oc%$b=bRN0Vx%i3?>W>`K z%8B%Kl^!hi?y&vwPJBO#Z0g*4Bs)qvK2egV5f1yQAl$UO3JjEatIA>H1Xr+}9v`KX zJIn_2_3sXd8wsahPuxC+H`Gf1*z3U2-S?YjLwm6|D4!kYv+VLYqV%fI>Z^yaBRs-8 zBxCPrJaJzxGj5jX=|RV}UxnRG{;2I5b-Yl}V(9i<=y2>W3e{G+W0Hoij#Cc@e;kk# ze~OYdN-Xa`vW}Z?Xy3wQ^ZW3_ZeFtfZa{L8l~u}D8~fl-!>SnGi2TDHO;I$x`cZZ_ z%0B&1(r5LsJ3mBiSM^}WZf;)5MB?G1zplhrdddod`m#?oa%wtQp+z;6oqPp^NAHBY zfm#gFMsPvLLpwygGHMK2s7Ec$!V2{a)q$7qE2kEYk0xC*?2a?s&0hqz*7GI}b|0_S zwr8diYNxy{l9m48AAF@G)!Fu@TPI|8)x0X(^BGA9-{26@kWh~5+$`5gcucCPHwEI$HJ0T>01oQq*>(0*&)niZC;~0t8kj%4j_;S7&ulbavTw zC!Idp{?*30*Nsq%TH7I~%)SwPf?~_!Hsu)2dNHe`v7`}XnpU5&E=|~EdF&HYS|Z8Q zAv80td|%^&ejj$P*2`;H8Ftz}O^T;^$Z{Z7>HWG(9o`#@N^hX)@-1Is@-<;Pd&g0LV8^W=CKphUI9Hc|RPjtVmM%A>Rtq;V&AD$i=8WDSn3| zjGTG@jaTRDwjK>4B=B=|*zxI=hz&>0ek7;y+o>F;N&tGPo+UOq9e;p>GVQ1HTC@VU>kY^=nE( zZ(y>ZhgZ5^lQ^=7F;$bN_JN>WI=<%mhL6ijzz!{_d^A5Q>;L3#8Mi;122D?IyQhdxL_yeC^n^f&4Mz%J2Q zx8nDDq;=PaJx!D|#}SVqu@gxp5y5*M4)X0vKQ0TImd}U3+wW+L37_AN>MbgVI}8AH z1c(Q;>)FPi<$%9$Rom$!)$+v`r1ZAgX@{U>NiEVP#0zwlTmGp6q*U zw1n_-wQ30qQWs;Q1r7TP9`{J$%dYV;VMN(qX(G!GY|9d`7K#`ffL6Q-cRHxf_;-=s5x%qmRfR~Sv;KHS_*#zq3O_XTT5LUJd z0)=L{Ng*GJ^F{3jlmOU&Ctx{EGv^A$WcidcArmH1Fr>xg$)ex6ZIv%K5$~42deEGW zP_9}h270o7eey-$G2(qHBcg%tdfbrJN;nj>KCzE=6W7=tBsP>COimCEzZ*@V1PL@# z4>)4!f=zr-VJ5frUD&3Qlz##c|5%z$@bnz?=hvFvWl@6g!shjr>cW^={!J1TyaiJrx$?*rOYRzs4X{GiEX@YHlY)FFG=~cq&HIQB{xpVV*ar zx-;Y|7`mkFRg6`Eh-6AH_noz~wwgY5_1rHm(dHF$)uZ+Ueyr$~%vm^$6fcF|<;2Y- zQ97{ntqllo>!Q!vx|I~D*2R4w!#doBHYScm&7rVZW6YqmvDVbtHcoiKcE|&oZ*Xhb zXm98~9Xl`TmzfoR<XUyXfCgYvq;O7ZdSstu-q1u`teYda3=QON9TANXJI6wLW+qHkr4FEuxuo{H(?*g z$fM4o)Z^nWbst!%>_vFDYo}!Q0QsCp%)aDymzQOw6PLmrs(e&tiF6%Ii^-UWp?!D0 z9verjXNc{yed_2EmrhY)KZ1f-0|DQx&5+rnM|(WMUBZMbzJxwA)fULx+{1yKUS6$6 zT`RWP<-9hi_&MFfhrhp+q_MLJN*BJr5-?n>*Co*a7B^;O#k0#*YBqR2=jR1;*ZWX1 zEAcd`IXyjS+^25Uplss)7Bu=QO?FPgk2=VXYYPsC3zXZOH>bLG!FQ2EF@U?l}faVKq3*C z>WSDu&~H+{(%>C2s302!^g?XL7u|5L+asx+;3g^=Y3eiY@yySDLzfnbRluI_1hstU zW+H?byGkgcH<0<-0sznK%X5akR1mrM{Ch7B(Na(JtRI=A_x0qUn!#%s^>$2*L&*;= z{x#p3q&exQ-LU=HICFhWQKv04Uj4`@o+pWe+^%8s@|tf{!0NvFn1NjlskecwnUce= z=kq?iOxJPsk;{hwPS>{RWY_W}@heTa+B3!#-zBl#aUqsT(+x;r&c9aHJsMt@BE1wxo{%iT zXV+~G^|2S&9-e>uT+fsd#ByI*O1(uJYRl2|T?zxJL5LRMduAB2vq>JtZQ!i`j89y! zB3oLT9>Lc}>-&`~f0b9OYX4 zuxf%b-8K%Hx87kO!s^1&n)^<6k9{3Od(uP)rfioiVsBu*fM1qbYOhJAW~X`9OU$E-Z5eXo?_ zPQN6}uc!f^-)}Mn zK{Z_BweQg-e<`X?)cxx#NzwvH-cp_2kM)y*>0fz-t^e^FcD@+c+f8?zBS)T>7 z(;s2KML_Cu;&U|`Oq){0q4zJIE3D@^+m7p-%%k3hRR>#b$BPov0or#RZ+a zSF^P5Cs~EhQK*uN_BBarv^pd@C242obTn)D>gCHA zhd4Z#$IQ);KS!(oEoo0tcT`WEV(=SunrH1|Sa)PdY%XQUht|@t124U9HXo=p7mf!DLXJOym{En3Pm8a+17@S+p_9a|vvI68f zo~4gd>q8|7jgW%*oiUov%bJrCsAA8h_+>$0J&~TWcdOd=DNWB_o_}SBqw(;4EHE4+ zV>~*Ly*lD}K641I3NRgX*4eu+NB&f&8)8s}y*Q||0_w;}+o@*iqQ7Ro*VpY|5rW*q z9_fsNiP<3EuRO1t=(Bemu3TC#Lt9@t97Zykfp(2ygQ}Rv|Kb9Q-~(Mwo%%0K%@Cw2 zSAMQXoVV{nlR624ZNb@=5KK}%#_`FknOwI?WG)c@{Ry)e6bkh z;L6dvB=?Ca>ONP$TgN<(?fkDOn$7dkeef*>VTLV1hQKowh*V&5C zww>865P1hs3(~~>sig&$fG}rOdW6G=QS_CY~ zXa--hjeN_#Mj~AZm_%Gn=|Oca6LcB>R<~2bc|cyW#6U7Oo7n3XSYuK8CPdK2zJ@?Y zOdsY6+!q}WKmsL5Ii~OHIxKx=@qA40ZvP5hRzcad`1eh{r!B=v=bZ4Ga(k8#Xq0bL z@^3lpMB=k5svrB1yML7TB0xucet6U_Mu%B$4X3y9L?Af(N$=~rEL4y;$(;$IuiB zf}3}-cxny)6y>&ucdH{qV1X4EgG`eeYpBx5MrE44tmhkT8k`81_It+H{!dhMWd6L`2$Ln!%NtmNSrr5Pk=Z(?@uk+oV#j&~zu_TcB#S`=ih3)3ftyz+=!U9r73NB#1d3B#$H~>M;W!?8K3e3;P#>-$S*R2Lq8~kWyB1seH z*{?2_mi!~5$b{3J|FVU>)&LEJv4#-h>>}`($GQAEi7&Pw$EK6B-qItWbW)6B-8z-d zkgrQ(EG?Sxo19(o@LN9&Q7gpZ&!;$L)Ju=fK6#PTCg%;P{0+YVj9~A4x82BTdTIS| zIT8SSfqc(YQcPO4*=uI6QvL2~N><5$D)GzdMfH>bruG+Y^lqhUr2L<(7^s(d<@2w~ zqnEU$UDPr;(JFcF6F$z4?6ZXW zpUgF>18}f=L%i&vxLhTd5x3oSjiJ_PxcB_fWJlN%mSsX0S3HTe-*vc6cr7~?DL+Va zaxw@2!F3hhNO)6hnVM7sL%9`{4Qp8lawpB3vL_KXtmJ7GusgdZ zzurY_74|KA9Q4Tayt{r7O^!ak5`NBS9UPCwaZ@bTW`*2ES7%4Qkv|%JeXk* zE317sV$Po_3V*$Zlb^jcN)kD4ru;DmNBjq1BZ_+elkJ;ytl#t;7{WcyHfV01+4I}& zYT(_X_@N1!Fh@ZbUw~ChR8!L8xW88Xvp=+%(_&Gm?r`>}qGRAX1+42%ubZj!9O3~t zYy{o~no4)}FaV{Kotu~qfLo6?m^vm3vij(gS>4Hh$gj#m+ba;a>Qt${1-_sw2wf_n zjdbJxMc(TY?@$E+^xQLy(G7Jw5+2^0q63fA-=B)yb&IOer*cFTe+^^F6W#Nmnn0vV zW&{n8zlrr82k6z||M-6~u#tNW0&3o+$mOM&`# zwWu+H&VtJQ6zAYWAJ<8i?g(;##zP)nKB<6%JlDA>8HzB`sk`E@n(!Jx2`vg|7Ln89 zKq2d1?zic^OoW631e$+3(f+o`-UsSZgqi(;aGGb?uCZKE4Hm)l z;ZBVQTM~R;_u5rJk4&{XS&y51f|4t0HL=p~g)#KOmOTc0eX0r^*C_du1#GRefBagQ zMhJl5#Q@CgSjAa_07pYR5LZyN;9+}UY_U-@{%7)E*8l_o1U#u9O}l-yMd^+oiT~(# zAntMrBWAGc+qiB7<6{UiZdpaV%>haE2taE1EB{y|NCNEmv^@ucH6aPP4^a`LDBx%{$u?u#f<``qh#qGOwMW?aCCF0UW2 z)kU5S84p5q`)C(#_$K=c?v;yu=J@*XJ9HV?mWMVW==>WgIt|ju-nZsMJd^G}>6^F| zNoPDA1o48orf^MEh9a>kc#&-KZw3NBI0S0{1{fmisp#V=xS>COvT&`b+8M8VD2rGu z8py%{9mrCEvHKuhL=BdxDn|uqX6>tnCQh2d zWK-pTY}Pyv5#I))20+&HmyS6+=Acr_(~~o^7>*iM-b*?B7E6mL91CcKd_xKS0@9)f zCC4qR`!0WMuB@%JnfEBSW)w5G+bX(sYeCVr(;<5`kR%QTh*{*2>{6&8Bpr=CxdU4t zPvur9Ig79=aP-FT`>ZC+Xgiu)0rIKv4SHB0G}87A0YMsN88kkkSDzBx^&BHDgvgmZ zI#~@KWkQoKCz&bFVbZ_Wy4yn$bgA2D6Y<}K(f@AQGVe*?jFhsg?1W9hZ@+uB?X6`kr|CJ-}v#PEr|{>gK(uU9Cq5r^M837UWNb)G8Z zXA;}9PEuI0&Tg>m@>c(G$w-4X&sLJWXzV+}QzQ^g0ja&Q4LPswF6Zyl!S%bF<5)I< z?lU4>`9V{-Er2?)+IY*~`X~ws@wBj7LZEqQ!f5o~SMx zXQs(SVBe5>ei6xHm2ody(ORJ$b(Zp9m@?AJbN|)&$r&&RWcu#<7yh)#HwOZhIbMpG zQJmXX^LOnGK?8UhMIKmLklvBu#$*GT4{?2a8Ij(5UPnZct3l$Bbs_ATMn`7TDJMDa zZIJ`+pz$Jt;lJ%??>dx)HieN?8g49D7yMLfU_?Op_sbiq)tw!Sd={pRbjZrOGKDVW z`KHi{{d-fD5Mm3C|C0;CRtbGXl^zqbq6`zC0Xa+G~ zYxm0PPA%~!M3lNT-T1De(L|tRJFPR_<-k$fN9Q+I79lkg3;G~qAD?WWqpHu_J&TV+ z2_l~|!qu71tQ~ES)&zeCKZR%HRg>|G`Bw6L4|zBeB$tavmT$4j1|Ulp4VQY5tRRdp zjdnNb;o4=ic5_Z3_6Od90GKK(Ug&5ny_|jKTwPp}SUs>i?|iCMDt0AnBdl~>)Vhcl z2XCqJgZjm$A zZS;SzJgTVNhU{(^T!+58EpbB!phO1AgSxN`>L+Xe67Wi~T!ICQ06flm`*Dt2mwO`g+$YyL0dXK!E##cE~-Rzr{pIVG%Nh}k}**no1k9|R_;U6cl)RpK5fTVj0USs;Jd z(4pB8n9-*Rbp4MDxiZ_ELl{;lV(e9!OZaXF?d&#B32!=q?K*p|L3mdLA&_tg zCA{9vfl);xVw3mg)uTJ#2gx(@s|NhmOl!3nq=~tx87ivfBGqY6;J?606Z;6lpr;Ca z`f>qggCUJ?mxGU7RShziO0NjZMQzVOAvC0(ffL*I%w)Udlkyx&;=RO}#K46fTuY1% zj!4D}AuHnfN&l)e^5%P_=8KTOm6&K<=)GH_Y?d4XaS5}L;!z9Ob^06_-Og^{>!QOF z;6tM`_dUq*NTzW?2>4i$5rmktCd1rVklM3-rOw<7ZrZ!tXLQl&-pfE@nxJb_heoex zF$f&0hC99W>r#LtYflVxxh0@GmGX*Dej#yD1@smDhq9`pOut`ce2hZ;1|Dau++0JX zGccA_fmiyEp6eR4k!`>-MG_(q-uGgOwhY(6vP;xtW?*KGAI{%c|zAObrKN#-)1@~)6hsBy|i zWFHWwe+_VaH6`HD-(nvJE3$vfOnSIeKU4WAa( literal 0 HcmV?d00001 diff --git a/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201734.png b/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201734.png new file mode 100644 index 0000000000000000000000000000000000000000..ead7ba42ca9cd33eb39c8ba91acdcbf5fe7d2794 GIT binary patch literal 42230 zcmeFZbx<5{x9^Jt2<~nP1os4YCqRIK-~@LF65IxN4HDdD2oi$3y99T)-~=0N@PRY= zz5Ctg-nzT)Kj+rDRj2k;%}n*sy}G-2`swvu>+|g>fT{vE1_cHJ0s^+;dsz(x1SA0b z&G8Zy{>!zItUmk;(N#l18lhsG>JNP3g|(E56aqqZ0_LMB3Va#e`MsVi0s>C&-#6l* zQ;7xqM*=rFUAK=;R&JiAE|v%iE|!*#t~O3?Mp`f7n|yarl$Fx-GCF}7+pK(EW%4`B zM-wL_!#xhf83w$&krFdVUjc+uASq+*GK6!=ehtBJ!K>3dutO%4)fJ}m1$-b2Zp7@r zvW#JALxjE(Ig}*z1pU4^_V}{?TBO6f2zMMgY!zAT4C^Ks_a4XU7xKn#%bTSn_95-3 zdfQG~?s7AO`8?$X=nPaL4T%o^8kUQC4vK`oYIp+wS&l*^!pFx~SH;Tz`>Tr?f}E_Z zY|2Lu1Za80KoW+WdOnd|)dmjt03HmPkoa7n@Wr+zt<3pSrQsrO3?PNhuGJ9YS`DS#C*-zsk=%=E zpSudl^4zApGy`2Kqh@Zi_P^MCVw+qKpRhs;w^Iozr39fV6Me#6!9<0UUX4is6HRs}7+ICb$GEmc z=wmMod4Jri&1KmCaqIN6MbxyWe~C0e26JDJqv`eDfjpq>bj)|uj{E2%Fg$*`do@*Q z;*Y=(onMYbBo}h&aNpQ%L>>+95zl>cc$5#hW^^jLPqw5gKopJ;!{wLMt#8Sg1(4%)NmQ_vQ8UpPOFIn?tWxsK4C>2CGVK{O^Kcmh zX!Dx5A#8wCeVb!48!BGVnzm_&8ahEI_HRe6{10{{MI-aMDCQGVu3BL&bNDw9vNlgs z4i-Qvds77GYQ7%3!%Ba(E{n{HeYdVt*U}8Y$jKKa(#xqF!+ayCSu+T#?q?hM)DaHW z2=A~3bNbr{Ws==|LBF;(sWM1fSrz67HiF+L z|0K3)RUsRpSZ3H8vTFT$OXEYv++ZaLVk{G zll8`_G^t3Nifn(iuVHG;kze_oHuW=_yvBk*X#>_TZ=Syg)o9497O;{T;!uzHzGaQ#E#437rsh|Elay=m>*DYTs*PJ=ZQEcXf&=ag#4iRYAsWtAZ0qj zMitz}YIt8Q3N#98A>@6EV$8lmC~edVf<@c}WOztR-M4LLyz!6Sb&-lVVtR9P?ncXm zvb6GhhCX9FhSL9Qs+WK92ajsjNE#6N@DQ?Fz6?0BFymC?} z-*gXqwK2JImnY}5Q|!GH-Co5*z4UvVe~FjXG2Jb^|I{l-*gh$QGoI6A#OQ5UMf1FT zISsk;l)ca4#GP!SJZ8c-EJQ&rv3a+C7RK<-TrZOCDGW9qxM}=&Q44w{3h~>c54D3M z%KPqIui~DKG+yU^6Gz&Fp#1UD&_xp<==KOBM z#e3r@SR{ab4wX$KT@s*c!NNoX%viO3tn)1Pbf-gRKDm||^IS(M6a5VKoV_#x4?i`0 z)3_aYS9)6`kn{_<4R$rjPf4+j8r`nN9-H9Z**Hyi4&Df`AF?~0&zphB#YP+iI9s?% z%Mh)DMp=HIDH2WS?z1ylg|n=12CP6vx!zso|4#1KMBk%)7Eu8IkduQIE)FkkXUNSS zYUM^;tImc-UUpbVApOK5AJpIlx-roU*2+7_@ra)G2)RwI5mJZA)N8rMTPO9IXSZZK zx9yxm1L&W86~nx=?_Y*?GCk8uD6D&Up_umYGblZM^2;h3@vfY^tyYrQxR8J4x8Acg z$h{b^8~7$*WaBhrgLseX;a3foMo8dzWl-j-^BYCMRJ}jHKRtYPiHBVQR&Xo!Y4nd+ zXB{AAeG9z^(FYH@qJbEh=c)Ep=AQDyIT&_oA?%)!*B8e*x-DMv#D+A-Ism`p`?>Y4 zc3o2zOfT#`Lg2LQYe?z4Q!u?e^+CUFT==M4r!sdaPt`xxuypqqS`oy3x_N8y(>L) zL6g4~TVhhM(5F6-3dbiplX}LGx{`Ydz55z=ks78d4UIas#~XH&qs2=k&pADM>pD7~ zLfH3iUTEa)VsgeQLL8F=*1HD7&-O5P>4t#$2%v%#wEwCvc0HrY0&V&Be2i{>n-uT0 zk@dx0Z+~t4Zs(oEH~JM$43ce_#TQo5Hsh~|HSwx=c%wqOiZz(ow>6$^MJvLxM?r5- zA{a0mCm~_>48hX#xPfa-prXO13^zdRRS-qzjQaaOw8`VGLy0I5MdYG@0z$Rg&0W6* zyDMGG9LQb(QMZ(!Fj><|~2*Fe&F& z_-yR?pY|Y+5qKnrHhyF#WTGjP#<@|0vV?O+)F_34_eP{4&jbcf6b7k4mgSO-ik?+I zllIF79{0bac9m7Sylj@B z8mW-rD$OuE+*9>MMPm^?`$tQvk$@W~Hb7e60W;~T6!L)lvQ6ddY$$<}ndYK0<$w|9 zH8OEMANF+wO1!n7L$}SCZ;{{ae%o&TD>g22ZsQi4iZu15Qxo1LZ64v$*iyk8c{_SM}{= z+F0?-l}Oib8Dwa1a8E&aqoG3ThdgM=v73zS-7aSS!9!xf<)KZ)yT`<)kqMe0d2bH= z6&Zo35)L*M`5>R2UxSl@iOfaFbi)G(heddNK+xu1l1&Hu+rXAj?1BOEU~=ILK`eF1 zB{&-V{8*&-0Zld~4sjOyt*~9U?%bpoLuR)=_X2iZyvE8a=0?O-YV2<-tgQAVt0_h7 zEkWbq&W%SGpgc1->xT>+;EIZOw9pJ9{@5TwG+bCQGob?D!b(=?|5bJoA~VB98919v z60XVccl-WVHa#Tep}F1^ck1%rGs6o=mPU2XTdKM-yn2rARFIY3X?{XD{2nz7V^rM^ zFz#zaY>7~@kwZ}e#SefmZziQK6{){HpsrS)b6JpspEVQ|)$==JI&YHiETr1C!hyUv zurHzOuGGsOgx4~}hjxT8Cs1Q$vS=m8K`D~l50DtvIvMDBK)yU*(y(Uoo?Frjm$Tn1 zRK3SPA%Q)GhSlb{-_J2lE9PRB>@0&*iO4EDxhQh{#f{4O&O3PoSmq9 z*i9fc-^&oKCEHQ^Y3>?oub=T&(P3A}n-3 zD@Ox+Ol6bQ&{aj}9Vxp;@3qqk1X2Vz<|myk^-p^=9O32%PVM8Y7Q}=CG4DshjM~bM z^k4Y%)!}|1lD><1h4gde4x6qe%0Cz3u$)vf3d_OkSl}`YGg6&&9)=MMq+G5Et6&e1 zMx1TLaZ{)KqN8wWuEZF?FX`JWxm_4_=!7bq{Py!dx(h7nJ0Ds-7yK{9Xe}{F);0;y ztDjme12ue-a+fHGm{ug5+cEL__&ao!3sVK?v`;W|ud8)>=Aimo+Bgl6 zbx!Sg*f_x^RZ+Ed+|vT45Lg8vmIqmkhsvN#P%?iV1M(O$JW|M2DxPGNTeB6oz7kY7 z+t(#gxh>&)&^8HTWxXN=|7eNnZq!{SQOWal*Q-j)bK8aB$c=$DWF2(a6DHRxz)!PM zuI0h^KW&#YQ32*y;E4VBfCuTE{J zHEM82;;)uft6cd~_1F}2-4NGcli6t)4z1qjh}qUI1M{KN%-k@T@k;JbN^7YD*6;_% za(FA_BpUNMY^!jo7VWicxJYaW#9cuf)jVAY4K~+pD`yXQ_d!}p+ETI-oq6=>HREu#CKSWsYpyM|rN=Jb ze=?qNkKtvq6A3vInqwk7Ec(UvcuDqYCb=s*(qBtJAdq$5MBG0AybRHIME+>ocE|DU zCrPh*3U|S`uC(2H=yn*7vDfuY+x(Mb%-o^t9$$RWSTP&Vs7pF48mo8fSpC%}!!T`{ zJIs8FE%C3ygsVA6acSmMIy*lmnHzYd^RJJwe5e@KL%UzIHGPBWS{OT^$XwMzpoch1 zmJ>&p(u_=FHF0^S#j%X#{aHrKt%(jO7fjd5=sX4;kFyEK32*`-u==P()t#bbi;+jF zW@Wcot>g#j`BC34OKY8nBst-@d50uA?mawVOBz01AM@aEEj+dD{&BK^jFc^Hq#fnX z(s)~R@iTD=uT_3P_Il3zw$DbSi$7KQXAc$NI*&j8+t(m0Wx|)d+~zGoWwU2N%^&zo z9Tzhm6r}OpImUYVe3xu#M-V%GU<=1+>hYCRs-R<-h?Ztrl2Ke=d~<=C1DP@kkam9T!a5kt6Fz7t7{S@%%f}ooUe1zzS7y!VmEq@z zWj%Ig7r(PXGm;NjXn8mv;gJT~Cu4Y2@(UCZ^EKt;#x5E9fpednZ1#`QnUxy7g$^i2tvLj?`8C$kzT z^9oK0vd*_+xj?u3w&>-fvw82ZW~|RM!CA_Q#FE%kBx5~COJgmH`$A&v{UKm{;iGUjKk(x+4I_+Qiw-AgS6=eHVa&YqKl62=v`&b^ z>%89QfUiH^F^U0uN@Ki&eRTRNtAU-8Szk#_296SYEKV@8c9Dxh)t0?Fy5oUoyXUnL zrt)V5sRDr)nI%0iTGgp#BI-67^74(Ffz}Y!=^%VgA`6Zv=2hXzT}U5h+^tJ272g4A zD*eJySI3f+b$j+|qs#zdN}Z?}FKZpzDCnt2o2FrP2wI#VgIui*z_!W-dH_$H_4 zyo*ts3EW-~un6T5qe;_{vQ>R2Fvmee%TFAFV z2NKjLGerM^%!yVdj;Wcay=|DP}jY z>u@rw8nSF0OG+y2xQ(7qMq9um=kDH!u{JcNj(nzK(iREHVq?ClRHLoS2!9h1){n^1Jz1ec)VvanK<=CJrF0kC z8u=?%?Cux~_Ap8yQR?n8f=3J~+Mfltrigqw7I8Ia=Xn?3>QWRmehhE1>s`K*KVT?y zaQe7hLOg0CAwKn@*+|a)C(2DeqWO&du!^CA5_eW#Yt)Zn{NmG&_zNH=wfAFELX_Zo zoWj;}Wx=^=pt{#xRl-v>rFQ_{#y|>C(e=Is2O5O#JChlk`mNwB)ty(C=Bz1|2g51y z$rN+I$$vQ#TA9*qCOz5iEG{oA5q1R6#9iKqp&dpguYTIe!pYp4A zDXd-r)q(x7=Y@YoK<3fI&GfVDp( zjI!q4@l$Y}eV{XlaH#X@Vdq1hGVelD!hC%4l5Elh87z$?+f}sp&^OU_b4_@|wb3zi zW`QEM7@JJwQh3xC)rrIAMyuq8PuHpTP&_Kq-w3`-;sEI8=}J{zbH*5uH}GLJydC17 zh94y>>-LWO|JfU{ik)1V^^X#FmUR<{C!aako6-B5ZFb$a?JpcU8vzk>yxUxyW#1_3 zP8hR8NJg31lJlfLJIx_k?&4i| zx+tk#wKW$^qvNtVQEd>Hk(P7&b;~Dy4rEQDViaGJp*lO zKsa>kM1|$#b^j_xn()SO4o^&<{|=C0^YirDQ`5UZrkWMxiIaW&G3w1wPXDyC2O06L zxrCwsKuo;}3S@<&uWx1WlQ9P06{g&slF%`p!A!@WiJN{^H%BIh+^_xqafk@1CaL}7 z8#rJX06x%s`aY$o#?={A!Mh<;W06mh8}y0=(t1B=^U3tdW$CVqxG8#@ttguH>qj+>Cef{Yc>o_v+xDSzq$NT=6;i#WWIg z;_3drP{9OslLET;JhofmU3|8DX^0d+^ZO1^N4-nIQ2oi}&t2Et-$R=hYWIhCe7vJK zy^&|$BS2vlmG&6J%{CRK%n-M!iO;Z(itj zZiVfg%Ubf8-?VZbU{KNJmF7{6ZbtB@$6~$vM?X?YHyiTa2#xCVF{r)>ToWL?W-M`# z&c0DUxyUmq_`btq1ouOohg@R>e=M5&qJM7k8=)NbYXimUd8W}9049f7h#kB!mJboK zDfX*C0oE@A?-nO3($vmKo40PZ2eigtt1lR= zFXXTDPbspseY{BXdmu3W;r!%hvUwr>ek?0^+u)y8Rs%hA^7CO=i*eBTbe2ykU6C>- z3P90vXzPJvxPQ@~HoXRQxHY$E-_UnHWkyEGK#M3%dL~n)Vw+@DhvaHQZl>9D&2SL< zZ7&n4M9`_o*HQ?Q{6j9V?)~pw6>*A+!lX+bv5S>zOEc{Dfayri&N&d#sG@s5X-TNv z$W91L@nv0q0rbG7Cug(~CwA+qJJn@HJLd|C+m^c9BaHF=x7rc3!7F9LZwBsy{+S2j zEEXRKS{Kg=RI1E0e#e(6rtk%UB3z@T^>awLiznD-AR|$k%E^jJ?cTGQf;sQ*?4E5| zgoDb`KYNac*1y~Nl1?&Nvv>Kl)s@Nm%>p@9 z?_@8)8l#5D%*^UU1vjo0gJ@22KSyA})HxY%S0{pPrp}cUOwRt+8-iDkhH>cB_RYsu zN5NXO{0pAe;|zLKh!8paj&tWKjv5wfBdktD2HDQTB>YplrBW((dE^i9lO&zGbe?J|I{j2J^weDJ5`@G{5)HPj$o0tq*JZo{_-*CxAmrLIIBn$LD9w4P3az@{ngb=iX3U+nr#A`k zLd+ha;It;1W{2u4#&^j{XA-$F2!Y$YR&7tSr8 zD>J-L+jddnZI3-C8o7qHRv7zdd~Aetyme}CJG^SZ-u#xmf6hQA#evw%r`=zs}&Nczz>$hH^} zYEDN8eqLMdcwSKutDDyBMk{WqmHl3YJI9v6CNy1-BHmv|%YC{4_cVD-hFI#(rx3$7&c%Aj0wl%T- z`><~tfxn20)U9V#Vr%}_+jFHIG!aEl4I?Y+&ff&Lr0Z`?;QfbJ!I2YUbvPs<_uI+c z-=oyypNKlW1)WxsXIivC~c+BFmg@uVD@IUF*5??SK@De@BxfI z&VAm$pc&mYkq9SyfowUBYUI$|nQ#spGotAQY9s->^?fN0SJsYSUkObsPG7`kA5k99 z<-_H5JFmKN)^+`89%|^VdrtOE|K(S|5p-Jzc{h=9_`to`Lv9|9x!lRBzEDkfH22VR z>41@J?Z4_U1nuT)bC_psuOzl-U)~Qp0}*GJ5Kgd>%O{eR9C&FTqRdo{)0_GR$s%90 z8%MkriS}j^qp}!6COf1}N!2ai2YMT`g!ODa5|9Xblifr z)Y%B@vV8U>xPhaS0x~%lbS^YpQm8fVg30meMx98I;In&8 zx#dl@OzuZU)i?t*?BM!&4U3%v5;&^HU1oI% z?9pB-(lSrMZtM*-=%SI!BOdKxW?yay5`Kw(p5=e}#V?>XO@#Y2bpG97n_Cjh zp!T9%?Rz<(v$D$dd(hI6un;6>|Mgw!c9>_3uebQHRX~?v*~NAi;Rij!)o1Gz^NluE17_~PU^fL<~pOh7|a(T72fZ&a% z_&#{)bb|-*k(h{vuWce0&8G5!UaBv$R0T5bcJZ~r7lcMolt|BISK<&e^@hZ51T^&q zt%w~@`KbKQ`_va9I_qET9Tz|jlqKt|1@~2Zaf^vLDdsRoGu4~Fov-&eJTBi6&3ik0 zRo5D@jQ`zWi%K-PoZi|HnG9e9bsXi_!%KiY@=y=#<;)Yq#|@vV)6z)~4zlV*4fXYR z4#DCa3v%)L`twtG1-!Hi(gmqKwv92}Z_>#@jRtw&$?a=V`2t>EPvVuNYCw{$sPPyG}YJBYtK1aogg~OK>07y#wk@ZnKkjc}j9J ze!DY<*0IaZrEytwa2~glWlT-heV?Z{DLwcx9<0o)d~xi#lTCFqC4rR}@=PTHLI3mn z^GoYqN`})8yDt5l)T!sY(#lG#1tQ6{&*wI&{&X8u2jqxEFcZe^BmoSiRoj?M&@sN& zUE~q4;m7HHBt`xZG8)juVh%T5br6CLuNEdU;^~)+M+StGO1i;5#i-kJ{d<(2yG7`BiH6NJ<{W^9N&Memu14GhHZ8kaZ0NHtTM8a zsN)(sYeF%MT{QTOeyeks9CaZ-A0ircPy{~|=GRXz@6vDSuRB|5%E0NXJXhJoJZXk) zCQZLQ9$c5^j3UCnjNDzAy)!dL;Ypj}fG9$D+s|g|)u#Nu@<+Luj5j~-_7yAN`VTOf z?FC}6X5|P;H3_^fr<<1i{KR!<6XcvZ$|BxAc=NhQh*hCz>=igG3URhg`i3s(7cn_a z^T7v34r(~9I8K5^y5uM{0YJarpWJvvQ2H?7Qz)Ln>>zT%GLyLf5ZPsS+WTQYd&GGB z1~*?mpw4tvM_tbeB=YI|dLi1S0OoiMD-nZeVf4$g@r+!cgggQRjkw

xPg>&OIx5 znW5;%auLo$A+m3MY_vpHP16Wpf3`21a2b?h*vwxn5pkqB=+S%0D6@n!Y@g#2W9=du z<>6b*d{L7!j+iDJO=P5E;zB9+HFdf&aeylL_5B09+D1MfgUZg6x2jEis6^SGuN_)7Vr$0G)wZUR%LGr;-X(_WAO1N46g6wUbOQ+^?o7DED1^?KYJN+!^zHbv!2AT zzmYlWwByuRy&}0?FS37Auw#+dh!rZsa9-joWNbQ2Wtt{8>Ri!I{-BnDGq%Bq{L?!@ z8UBCo$A7Q^wV3t(73CS@R9q8Bb|}k^gabAF83F)5BT?t_W^HLc(T!}I^)-V1el<$t z2j`v%$x}staZJTRSd=sDmXSP2m2ASr;h^FA$MIIxBwj0kN_mABiB)NL9oNZV+n8>2% z{_tUrjuHK7Pm*wb5vUJ?H%+g26h`j-{m9N@ryYPhdrkO}H=io6*NqIf^KlSJ8{?&M?;Qk6zUh zYaL@mcee>9BG|#1zAyJ=x0M{4-%PALoy3wigj@?oT=;Lx7@0e-Wk-c+It|1LAu86} z@f(VRX$;M4X4l@&X!}q8T|ev7dGX^F$lB)fN!Y5^nFKnn8e)u`-8ZeGUN7VRw1Kf) zH?vur;_l62ApQJ&Ibpf0O&$N-kZ##g$0i;0x8{GaPgBQD6m|`i$oX}GE`cJF%MTs_ z<7qQpazrf?!VA)2uG~<$s&QwPjnKxEuFNXmt|YVFDc<_G(Mq? zzj$9i(ugU>(5Y9)eRji(EsE;dgd%y89SSRUm*9vT$~v+^qlHV?gly#Vr+&Mc$b*O0 zYD7)J%RdrYpb~yr-FNStaz?R=$qR1;xSGy0eXO#87R0SDdt?X5p2U^}m{-dtBg#>a z;wzaNva8nA%>{qX1S(t2KZ!@}u{k*Cd-Wj~-PRC2x8J%@OlcM|Ggt7pQ=IYGQXMX07yIP3P`gDu2^=Yl1sh-kooKC%9Mi3oEI|H7l`fyr~>DwfI zyvseXzFd-5RA&lO2v7*qsGGce2u7(l*%DM>%#Njdp|ZHmvz?0D}6<{(y;mqsYf0NxNm|!;#-t`mm1!;~RU&D3e1m|r*XHt(F@asz3e&KS5Ew{+!FqQ? zFe)H+72l`KoA;xn^Mk(HIs&V1C-ZTHO?e7{)vG(RX@*aFg%me^YeeJmW^2TDoziGV zucToRSmuQ&w-ciCdoh(hh0%f|IQYVmoI!KA2#nK)ZcQGm+WQn?yVEb zpI6gr?5_g}R_f^QNm-IJiI=W`YEriCVY$X5EO!DF$$>+-6}9$Au)Wp|ElvKF8dR?@ zz(r4N$bcM$4{-Bz*(MbEC%em=V&t248iHIcsl9kcRdJO#DKRk^VbrKG&9$1i=^=f~UQoTb=$@{}J2S@RwxD5`9<|Tn| zEuVkxWNd672`L~DuTGr`Qus>`@#a!RlWk^PnzL?ql$h!aoCOjMY35Au7#qdJ! zf)w;?GS=Nqa@4~mE>8+j^PF@Vz-Qa=Rw z(Z^c-yZF)5E$%D9(B_Ew?nh^Bk5{BYDKAG!{-8mv3FpoZrt_`dXFnUjk07iB%68}s z%UAhCngP#|7FJ9;gSX5VoEixKuz6q)nQKHm>E2{rguO;hmZCxCl{5Ykdf7w449+?U zM+LB!(FZI|ya;Livm`D1Lbv}tZ3&!H2?IwNmEg|S0WM3g2_GcyVC6k94SC21T}U!g zwd)Ij6nDw3=ZZh!fQ5nId9b9v0xBvpZ|*G$;O|I_dVFQBQRNesStf;#2+yrffR(-e zi{EiIomIyfyi>F$GyJMIkCyf|R7EKdYw0i>$4FEa=zei_Jqp5%tXF!DU`lT|hL*#j zII1`9P9m0s#x_|p_40Jost;z~^HQ47;An@j_1aIvSYrX{YbfJAYgmP;9zAQkH`=|0 z7;*+vq<)EQ`zN#(ySuv>+FN-?Ni$&ncoB>*>R_)4J`-BbNp5!qL94J%!fs6D)aTZ{ zG{4fDQ$&CwPKMOI_+}gWnME<{ch8vHILpvTmbtQQs9S6twA9y5P2Rli94hHVI`n&_kI+vGku4F$Dq02wBiYE0u+GWCN83Zo55whQ?5zHscTWr-J*SN#+8EIj|A>3%(L>NQ%kt0CM+5T$oTHE0 zmt%L48y+70GTfLYV(wsgr#kRc+2{-Hp||6OyaT`M;}4Uf=0RkIRv+Y7h7zqhbxb?l zrq-uSW2U|tQy+AG18lfYF7r)#nHKo8qB@LSV=C}~D`F1`(cnbkwYH)7A*g0|OQrzH zUGclRPKWj9Tl%Mgzl@|e#bs$26P#p^5I#pU6Lr0Gs z{!4^2&}jBx%nhG86|mtr;vag#F-BW{6qC>+Qe)BbgZ2#-oU<}rn?$f{C<=}w!NW00@A3@ko*XPPw8;K(-fC1KZmMt&_ls7iBDU<-*&x?4mC{500LZHhpttdLV<3^%}-vk5^-6?aE@XroE^Ouxt-PUb0!JM#H80IVemg~|gsSY7A)Mg^LmDAhmCm(NTnAn#JOAgS{#N#$nrsPdNYHO~1}KDKhi_+(kB* z`1|Dl>#84{@&1=__x~Qj|CNvXzX$)n2mk*j--R38F!FLONBBw%ZLA*S@Ifqgi#B6_ z1!1k14$DCSA$eBkBU2}Y?eCj}fk7lGXh5Muv>pfexk+!`!=hWmn14^dFy z`NwURM3m42^Z3bM2U6@_+HF?Kzg!yx@yz)6h9G;)`~f&MXN1)r1}~5iqbz5Ac{IoT zQwH~6hhfA?WR<)?fi&XFNByMk_2xAY9B~KUASemST^cDlf5C=3S{TQsKgOUB;uHq!q2MI6uK&ri~LF62i;o$)g;mx>8O z{Ha|yh=yV8>nxEgJ)mY?ft6n>6{o41h;V36dx}Y23YHGo?16Eg`O{lGTI1%NS>v>l z`C*pZ_e&q?5sn8%*;Pl+e@7ry34tR__ha#usG#}*csHtC3v?pv?7^qGpidTwea9cz zsucvD{g2A1<4s$opQBW3Ww*HV zHN}9h&hnkrD&9%`Tcv)COa*GP8+WnkrXE9ZeI_}nL2tYKX>s}mE$%63V?VGgziJmn z5YFWQXoQT6%WFADrQtRFUkgBb!2~ek=9!%Pz2V&o{1FcD8qOy-@r1xihuIW@WAkTB zc>U6jx#@OV_HS|2*x56W2(S#rSQ&ba%7nw z1=KI32l)@5Jl>$Z{#V75HvTwyXD&Y)Mg~0X61%vTuobKI;f6dsP<{XL`%&;x8w@~jA38&dcac)B@?JK zhqtIR?QEsyH(UD4o)oW3ZKt0Imd$ZPm7PCinpXmEp||`@_=tf}5UzpNW0!sGlym5p zWgc9of`jxjW&oUkdEmSc=$AOos@+(6IDkpK)GiF&=A9U=CWAl!0parF85)G_z)9ht zj1=^*x*|$Fh(+qXQ>&oR`nt#5WNu%S5kg@nCh)bT*t?x;mdSOWPR<4iKP(b`h4<_K zx<=L!?0VQ{qbYNmRfrTT7y>WstjdE@M`s5asoDGUuuQr!X3-QsPOABm%>~ zY|S5CwoTn0NR1-6Ap22~2QHsJBJfFjP6WE+&92`f1}Dw)rZ^Ot7=8bZ9k7=p&hog0 za%Qnq$uha2s*`xQn5v>y%g0l?AevkStVJ;vY$5}bitlIocwG?vIhnUlk~as#8krZOHUsby z5jir-r23chc+7*&WSCSE6n&gnawzZ@SJQfCGGne6qNw5Z{S8rWs9m;dCb!WWVlAUC!c)vQ zm<{>poVE`Z&-p&gP3Q57cz{^hGs43x229vks&N%3iKII}5p#?B z_S?Dmh3!T*EVnkH26vX;S|5|#@tTO_J?Xo_tuovPRky5vs(jC4ZgbLHx@or@&x^lK z&a#eHnZQF+%9Y6oiq{1MD|11d0c=8nnT8YWOO>1{9&#J})v)4+mQ{${Jbo&fB!}~A zWaNQa1xp~3yn;$P7%~*JfL7Y}xnTRIoSY^ylfeDyU1So?_q&^JWU{~Yrb#hHdm^g; ztMhdE4G$KL38@mAsSyXQ?0<^egU4{3I$wsA7-F&q61&Ee=7NF9q$`h7<_!)>L)-jw-7t?Xe<#^1 zb8`f_eK_fT+JU+&rK}2id(Yp-kfBI+&zvJKHAg0^|4rUZH?Y}A}WtpACP+R!IANzblNN;pi zE77s(EO>d}+W8>zc=PkMy{cV!BLX}jyu0KGaCr8jezXaE>bNuRfj`y^7OM?-X^E+=j`W^P@Xp3V?8 zarc}^vPrd=l}z6nPS&GMU^+n(HjST;0;m-gw*CiiZy6Tlzjpo82uODeNGjdkAV>^S z(kRkhQqrKLC?O3)cS!dL(p{3mNS82@Lk;s>_}ly5`+kn&|L%W0?}?eYX68D-=UVHt zemFF)Gqyio6_S#DhjKooWWOwb5Sr%ABvh0DNaUG5BvVCgz+|*nV_ze2?(A@r>SKu-S_)2}=DW1U__mtZ5jio!X8gi1M zbjU@;ok#+Goji!!8Uxmt7>if)zxgjb!J_e^ozI+SfXpB2PJHMR5U=qeUFqZU9Dfzp z9lPgV#%%~%fj8;Q2}Rqh&T+Q@abdXdtp#!iNn;@&GeQXNXXnw-slWOsC%I6(Z2gik zVD;qhv}WK|J+89rbTe}XfQ8KJ*mUtC;mgFjiMDch81f=Xc$EE$osBo>|E09`rxeai;sYx11!xYzjEBXKZ^G>j_`QGJP{&M zdlWmBA=0o#sOhE6lXvR+<%-jL=vsl=-XsR!?0u#;|iAA{6f(JYGW zdi=PzrJk^j`iUsrh=3#>SUr-4O;;B=a9eDU*jVR^%;}m7q`{axx$yBsi(2~eqHSDn_5=JPdhX<89#-5G}UrIb(hFfZbsJOnH3 zadkZnCvyLJyF`I--W>^IDubK`JrSsL+y2RVP?=hS`p4GfqLFw0G|=tDZ?9MX5W_FSzOL4Ms1Tcs>S2SjuSP-agEu;!gUWkN)lR~4iu zM|8VzlJE^V6QVU!5kDdmRcMq# zej3oeQ@M{o!jAmWO6yT+4&v343_2`FSlV%1ANoA;P1~UQzQL2FNV(E!EHr~_8*)c~ zAyofx+7-C;Le(0CNo4J4I+=(jtk9$P_`IvcE#c2&VI;7r0ecw z|Abk-%}L_iR*QdP6FL$r&@14j9Ea-d2X6od-XE zW*dtEyfuc`8h9KZlPCMoeg^WvT{QQliW@n)s;mr|K9tF<(uy8@@i|yj!eI=gq zc0*+qX}}pERyFpS+E|^B6a%!j6ctTJZJz^uSE7i_tqT$je|otM*Kf7MPoAd}!B6uy z!Myr5+Fe4C^@!?nf3Qn@OJDJ#-KfKUO>$oDYV0$hK%a}UpEP@5KL&1x@juE3i|M9r z$?dDv-KUj`#GLbEMWc(cL91Vf+B@qOYpBjfP8~(YMS50pT688b?^-X6}V3 zuHwIL&u?wPwbE5R?}`U)z**ZjQPj;7fPcaD8!6tE17uegi8F)vc&4Yb97Ce2C(bcI z{KsMV|FGnC$OXFY4Ze~K2#JSN2?|oWY^EVmcihY~*V7R^xEU{hu^e@MN4)BXald>m z9n?)SCI%R}{kIXtPsM=DbQR9&%x_qX!tArBy&=aIt261=-ITN6vd=ALo!H1kf;`u& zB(fsJJek(w%!Q_+gQzmI?F4_c2JWB?!!k+4cK`&>ZIIgul`QVL5pKpC0W=aFMbR1T zr@IxP2B`Ax;$cSKTl zwISCzvNT$8`9@W~EOoul(pP?sFE|=-)QJ3IXnGY(ED{s84uCBn2{r5+qFZhk{Qi>G zr4=HTn!ypPz9AQFvLqUDIZIBes(4s{ZE!u$|2a)V3Qf5K=5}a!e{tycn_S*Sz>7^z z{-cVmQkAB1j4L@nfA&^ugRu(Ch zN@_3S5@<`y$fAC3cu>N`=>i@EqLM8F6(2T_s?Ti&7F zg2)qR{EM8AZB*jrUqD7DlJOQS#~S?bBA%P#Ay4nLSv@f&S?$)1WAf#$((Nr%+@~q4Dnrxr}%0opD{7* zuoY`sVFu)5BSC*eiKnzb0xE8eid5>J5B?ZBt@klZUl^T~7}5Lx1x{&uTrgpFcGt1$ zGPS{L=A~VIC))RCe=aA!zhd=jM^W-a_cGS+63rHSZ83IWw$}o(#v~IXS7M(C!^sp& zR2gaPhId%D9+kA&$wOFjSoFgKf93PC$I$;5&C>Q_Dv^>c$V3KdeZl0jj+(YqoVE)m z!MNebIV4H1vjK);nBTMg#K^f1p<*$+PP4YnJ0$oP^WdM;zaC2ksO1bKw_Z*U+8+P* z)!rqTfU<>k&$XoqRy_=a9#2&G7GOUg)o=Muy$g|r+20J!Fc1?XjDd%FlDp1b!UDoA zJ<5TID9S{N-#$M5qx%gKfBWbV_p#<@_qlLClW@<~Y&GU$n$|7)irvkg5<8iwF?2Bx zkYPBdI8UzBTsLV2I^a7bH0Ddi1(C6AlnoC7gC=-Wx?>7Ix8j~9V;ZcI zs$8v=ELS7BiQe_DB1|0rqmpF`AC4znjY(o70M}@wo;JIER3fg1o9l`1@%G3Ftz5Ld zje{Lylr6EcZ8>GA{)@G&Mtsrn#Ro_J$LplD#}+68Qk~+3Prd-!;Svv2Imm@@q|B zV7{Rw|q)lJIBSRYa5k7avB*O?H7Jk)6jeee`A?KRM{yC{^|T? zd|JlWT-m-T`e?qdiRlx0N7j=NlBA1OV!`2n0hhLwAmB%_ZJZVBnA)@*1>~MQ6`exZ z6)-!<;Qh6nO1S}+Q!VRLSMu``f(%FUS@sqLV=H^GHi}Kg7cD29hmiAg3E_>Orr`7N;9;bHmDtbp|OvG9?XtJU30~L8Z+gjzy=l z*4a?R^|#z$-jd2+Tc)VVz>3I~#6l;4J;PITiqeJT<=F7jd#|8Z$TdosUKU9%QH|Iw}|_R-X20EhKgjGKjn1v5Aacw66x zYMN2~^QgZo_jf+4*G)Xd0G&uCn7OW*`Kox;u)Ptmx_0Li>=ccC*HUmg3X96f^+j?2 zDYpV^7UH}d@2A2KZynesio98|f5e0?`wvLufC{Z^chE) zhd*u~V{vaVT{F_Pd@vJYP=P`~D6E5@vk88}3F0KDgtA+>%RFw`fP2Uh5WiuleBFTa zoC0@E5>7WxDi^J$>)7nbXWnF4ZD)s_RDuO~0%rxcR;p~VK)^Ic8o02ogTdLzWv`WM zs1rb6olfhYJ*3P;M^MSU{X>p?!VukCdT=L;|+EejxQ!WI$i%-8y6!1h%sp!MNRf~8-? zMT`J_rwB>*>wqLQ+xttHU-KN{{Q^fSaZE&BH-Rt6wcB6z0@npHr%oa`&wd_?TXV7e zK#_lRk~b^dvb5PmaR!Q9(=q;FHWeY%&M0qtVrNNCau%xYw0e3&zXeQ;Lsr=*E4?V{ zIU_t+(4OEk`elx>*|(S3L$P}aub=&Vk2w?f&@H)czGkmJK9NM-2WQ6|gHA;~$@(=4 z(*@@=(kWv6OXPgO)-!+7#?SKjc|X|}v!vuU)M%0NXWwy)Y>l2YuXgWs@ysZAplk`t z4*!A`q6!v?chnPCzd8wXCzkV`>ty?V+4Q)E^;0b}$p0uJ16V=_VFF2)tAa!ZfQ0Kc z>1(PO*c|@Z;u4>5AJn^>UvQcF`d{mFjXXLqZI!=}3*>!3v|jM1H=G*)@Rm=`?U!DkmHh*5lJr`=M$TmF0)$^yGoO1;4N&d zd;|VDwRci-0i6=!1N}CVMfC`P%&jYOm68j%<$cdqRRYzL_P%yjeZLk<4D6g`MUO|H zH-V|xb^a$(rQ`l@zu=}7+yCr6FEb$r`NyRwMIcocinN@rYQ;dyp4EmIjys!Cp#RIS z_nq*|`f{Rz49a;C5BlV^Ki<(RsBCeNzq$K1hJ})nY$^Z&>0%duQO;1sNkRyYO8`q^ z>s+czWbh7}K`vdf+q7d&(Q$Or*rc$BABGK*sdbN-=C=wJEyAQ;G_NhZ@A?)*3h0|n z7LP+bz$-BX&a-R+RTAp{TE>zZFSxsw4UnFX@=`pPoSf6x@GC^&1 zW?}3WruCarK*3g5@$|)9iqoZvl#~F)JDaQho>fVtV3*CM=UOBq4`)0b6>X{z^3gpr z9ioBa{i8RWyxoEVFOMhIF0uXNczfL*EFDvFf(3)8`puov9-?3-OdDV58VIJROtoEL9+%8NkpErX*CbnQ&ATuEA~|1o!W`$qLlmi*I3)`}i5k9H6maETm*q#5FjSq{S3^vxvo!;icASD?<23bXhv+}prqixCKHwG+f*8y5z zDWG|8c6j(W$tE3*>@iNWm1P5Z3(($D^Zl@uz}b zD&Bm{)Dyc^@+N-Sw_}#n$hMOeacvp|@K7qz&Ab>0zaXwqCr*U|0lw5CfF5~GAi(O` zRWFr@#v#t>P>AIaarE}z)0su|r1SkoXD$)VdMNBk21;L+4HV0*nag9^NF0dqwBc|k zXq%?N``%gnlUrKt(grrMeTr=4b`u$VO~!6bs z(zO>0A&ETXM$aqru}0afGz7akfEb0=Wahy@*ivRxjNp}R_0vi0?!ulVam4L6hvK?D zy}36Iu7V%a79jZO@u>jFojR|09dmr~9%2sU!|pnwAgSBf0E)FGb6rw%;fePyfOj7^ zYWFV+^9oe`Aeb&Voe64X@L~h5NTjJY3M;Ofa%fwnJZVysj3@}|!EajF$}KMxLSuFL z73Wk9uM^ZhU6!_X_Zd3-xY(IfgZ*=Ml@W1Lxrhz{T4{uJ&HLv7vq1?~y8&-Lu_@t| zdW(P(-xxis$@6msUw3@Cs1p^A&N4N))508+-C*oO;rAXZ6e%Gz;r=FNr)WY-+Vyer zp0PbE_Rc<^nQfU|cbcq3vogtMYSKM%;OvzbE{#t8%N0r{Z9*IQ(7K=R>kIsoSSK)K zag>sN6;mb-sYQlwh~iY*3|THBwG!7VuHVRRN`!kovd*nvHQ+zFnsVf~cQ?5AX%>h{ z^W^)z#L?!{1it7BfX&mJPmivR8`vUis8EGCdp#3TKb04-N`7801)yv{8z-}q6U|@A zI1|u}wEsTIF{I0t42k*Sj~RLFb(RRBbA5Y)4;5W|xAzT1re|^Kh>QCZeoW{y`9SkJ z^P-M`)Is9b*>y03wdSIRZZ>L=jh6i4Yx4qSx7L(`wuruRc+RE!zEiIwv8o#bt=pDV z$ZFRJ^h%`1t>I;S|6Y)_MDi-(ZL%=s2FQ|}eL|UoyYC#JerG)Od)jl8;y$i)YEVh- z?n0Ua#Sjq>cJ13q+E$^5Rv3Fj$ zj4xe#fH<=L6e>sb_(~WQgdh7m_6re_hQoqFa4aKxYu4PuC-5gsM5B)-_zjtFcs|TM zp`mHd`^Kf>;@Gp<^Xk8}=nYy~)jVt26{T@#7K(bD9UgWLqQpT#qO~RX#udrUl`Y zU_;bm*g5^|2FIutYd9#?3uVA9H~Id=xHJQT=4c(!Vt`yau7sFCX*ggT2XJu*qC7vP zg0l`?u`!>%M-~_f$)_sQN%XLULH6>)KoaEjq!RnY5J2p(Ku=*0NgS}7p4~m4PCV|oPxQtg$+7s4o8DK(l(j^ z-rQ8PUtX3!za}#7@sTu!t}n`VGxqN~0sRQ1f#71zfUp~}Rv>L6J4IEn_F$tPObTIq z80f4BJwvDRb7`j<6#{nksYSk;mH?9NrD51_8IU>Y-X`7PlA1e%Lfrmk#vxluORTvEs&>=Iu=`r~ehfa6FNF#_v!A zM-8u3F$F-;PT{6g(8;SPkm5_nLNUt z^gY$_#f8TKnv|8-93Dq0*X%Oa>}%p8>wsxhr`uM{LpYZP|B{Pp?#J<){ckU)H{G3O z>%q~Vli(U+uM6{u7$f1W(Zk%BTdETKPlS{8-QO+MGGw|T5WoWc_A|NS8KDVZ5NV^R zgfXKwO97Gf04zD9`l{eh|1RtY_|66FJsHusqU5Ql?5!VueC@iETVKzVg@0UYh<#Ln zRjIF|Yy95t(+fwz{cl9}d)DaJW;&j4hsM5A_d};Yb|*jh!-kqn#qsA+tJR$;^MbxU znc~<)zKG!Tgj?17w~trgn;YuMBVMm|=3)5JgvbvgF+?($x+3=Yl4fiBVwF{k!{PRZaQ?1{j#rZg% z;@4?-zz35Yz4X9iy~nshuG1|1cvRX#a5%p=oF2eGr<;uD*?pYJbInDznz)A}uGbMw zU2V1S;_L<9%|aaKdQb6#HjM&?rHO~LN2Q=te4$nIu|;y>XLZ^czK;&*r-oJol$6hv zIo?D|H!;!4MR$b@Hs%H~)}+g060cbf9TXV6tj?o*xbz?jnzP6LOzF%MXzbZ}l(W0q zw-?4gy9H2}U5-PsWQ(-f94aU(ooUAi%_GS6&UmgL+y%=jVWBIbmBs@nVhK2e5iIHV zy9Xsc<-Kg*2vxx!&kiNaGdtsYHuToZ)4H&UF~1HB;wb<$L^h>)+#34gE3TQ$$u|{~ zI2T$#8z7s3iPoV2l3vd&*YqdzVrL-DF|qjqh9?bEIbkte#rquW@$24s58h}l4igC z>gEf+h5aOS{A$h+d&ziw{MYNktw>cr65lGk_L1@;{Q~@H#yl!W@ zz6-c+zm(uvM>|0LH-npzgOH`|4IT!F9KbUtZH>2)j6IfJ=D4DK{|?q}@z_c%A(40U zv^~!IttCeKjBmtL^W}}g3G9|?fc%>z!sD-b^f>HdP(eor6d?T&nNl6vp%#;yAb#JX z6m}tXkPcKa-950E`f#U9%)tpF!#@&=#aN{UHJ8Z$c&#p1TCK`Mhkl|s)Rq)n?RfdIg^+}H zw@C)V%6Sqo<7GubLoJ^sHazCUWj)nzvKiM})Kf|1?j5P46b=8B3_N|ot(wZ^^XoJf zuTw1Zi)RhHn@Cu@`7QtSWzTy%*~+{?%lt>UFvFQ16AXi6D?unq{JC8h4Ix;`vKW%x zm3mG4KYdQ4g0`JTUA8EF9pPO`tw39pw6Wzl7O2GTnzHMi>wkM!H^XTDJI)_IL}QZ$ z5LT-JN?zE_v=U&O+2K6~`nCc!SDgoAZvpf0k@ z)Z=Fl_Apeu*}Odf*6S;;vp-Oj$As;Fe5uNK98gpVZOz)C`E5&mT^xO#h_>}=dHLgC zvbN^eBPh35c-*riZOoLhe+Y8VlTaMqt@m`uYT}(xefU!JA2#?)7}bAVs`=EH-%&O$ z#fgCM;2c0-p%(+Z5{}#td(FD+coxd#bcSm$o>B!6WK?j?RuS~1ptu8$*SJoK(IS#K zpP8(;zCR-j^guyQ-%QICTJ;r8gxa(4C(SE*7JPt;Bg;UIiR=JL@>z!Dyz0eT#sj*XQ;dp z)`J00$$2+{_P$bKbx(5~v0I9B*o74UmGf3s)%-CvME~sRuhGb$fqoP~EKr&;L0_FZ zL$63Sdo~}+fWt?ER?4fn>#-P6(>0^8(TZ+c5wrecr2R-?{sZM`+~msCt4>kTzuwjcCH7dQC4KXEnZ)n$*sfJ{RX^@{?gVnRuYmAERQ>q z2L(k#VgRPne}`lo^|Nm#?`DtSQOjNu*J5l_E}fSrs`bNXy^Jn(N>Q%N8U{X}wYJEfK& z4qNlgJlZA+H$#8}eqFDZ!*0fk3KM0Mue9rVK}N;6o}0-!-U{?J5l7oVe`WQ~y!7%r z(^CCvm(M;k#hC#yoVwo6CG5L_@GU%1G`eVhqI2sbm40BfNjF-N=lic?B-&OGDf(AN z0dBnx;}c#@J(sdtnP|e;jeI#jB5pC>v3v4(YL4}i9xh)WObe|dR{a6+T5F!r9A|dJ z@YddK0{w91Te+T=x5YA^tHpJ5?SsO5$ZaD+8y$JXn9wtq8jT58|Ld_Ycb&feXYh@$ z2RpG-8%h53o5RnetC>S^t;1%v7)BLZGL}bvvSC^-qzCg4mhb;^T}OMs^Jz2I+Psz& zDzZqZ`qO#n&TPlTR_W+a>(hzkv9s*Fdx}l-D-PVduxPaee4|eXZUd{f-!(~(**bh5 zk(o0enF~(ZRfRS#Y|?RDV4%=d6`oe}Y*b zNI?_UD*Z!K;NyVF7DyZ7%=a)lQ)Tx5G(6xaqR=`rDRtcy#m>l=GxFpoz%-!Tpx>xO z;kuF<2&aYtxoflVu9b)zRe#O>QU7sw&0*xoJ7#}HQgKMxp3lcwSdkNa)8A}UVlXq6 z#LN(7Yo2QMB4C%^uV$_d*ISaQ;8>P+EbDu^+HhZDvR_1R^P#{T_2+=O&eDL#pSmO_DYt87%U37Es9_LSfmP12qJCou-CxL7nsZ3$T)Lg zCT$B+a_?`t5~i|A6a&2Vf9@VjU=0MxKJTc#z{^xoIfqcTU};Lf#sFdg-5Iffk9%7F zrHJa&#E*j0>T`Y?6vnVZi}BxZ<`KNyaQoch$L8OJ4(A_3*r(GiP_)8Q;qT|OsAy0G zzk=|Sqvza>AI*j`W%Ts~lZ>6$ffBF`c6R7DfWj^)78ORq3o7q7JIFIRVXIER>Y)fA zfbIBH8e#JsY2N>KAa$lXya7UL-I9Yc>?)gZMkrz5^PqgqN(q|z$5t7c-cvZXRN)YB zLy>3g$8(uz@xh825HiWd-3M$H+8Z3 z(w67A;9jKSRZhoy-OMlb_iwA@K=AFiVfJY|w>#Y#SnEvS+&?et+9$4gFXYc#Is!%Y*M)c8&JRRSaP6=Ff)bmarEDNguh*sp{lb&(E)&48UPdUBGUl#KoiWaiyOLT1ywidHy2*<~-YXydZ2DsiLOhr&-juOg@_{@+wLP zKsxRD{^`K=ZVbJ6t3RhzINy*pPlWhR5eHQ|%=Da6Qkr{4qgQ39^iDqlJ zT|0)ynRdtadM3Jb(W5KtzD#vpKl-sN%Rbtuy&M-JAYV?op0GN^QK<@q-*lmHbUx%1 zaT26U(9%@hb~881iEGT)R9Ws~evRlX^Zr*7Eto@SIvT+%hIy;=mYto6=EP^uX}+yY zfm*Bbo2EiCXN3fg3K};ai(&>86r|44Jd8|`zPp{;`=8_aKF=VLOWDO7MD^D;)qgBYstNpI7@*%4 zzu#87g;4{iHv@Xpz&Vlr-I|4(EFm4}@50-Qi3VOn$JgQouB#8}d-dk<)onuR-tvQjCpV$Q{x`r8Lgc=C2afO6)i3L*bq~#8!!k6gzjh8e z`k(Y8|9bt0e^*SkhX1dMDI&v%613-62Za_C=p5J8?`s@5U>6&~<6De(YmDo`>LLuh zb4nMDgm5sXXBmnz|73LMO0coY;knbwnDy_GBFUXD)5aq$`ir;tF%AX14u=E*R6HIo z6hi;W9jpfgs=ayjQ)NR3C+5Yy$se1?A+8&n^55Bll4C;Cm}6Re^(mzZ*}Lz6>EDNz zs#i8`ndtC?^}@h0#3GbeGnoPfD!eyS#q-PHt&7j4hB zvbejFMeckKykbXg=Jv{Z*n1p~2=6%o`vJ2p-rRgY7%qA#a88dwE0x2(PQe5L=lNti z?%l8W`kdWecJaSdN&B`g&V@*UDu%yIKRamPP-5S2ZG%0P zAy2r8 z9I|SFI&9-p_ip7T(GYkIgzk%*h6|%>k$RCHBXX)j4nk--8%_}m9lUX~8a5RuCYo;YeLq_1xM5$Jx#c4+%4>5<}@+A}A0s=Ri6WrRLq zcmg6>73<-elb()QMi*BzIoXjC(qP5y1>RY!yy{c2w(&rG}1vNr(rU8(XD1O9YdpzTIpwBZjaxTCJq_zG8*cvbsD9d z*}^T#{_W1t1U5rc$&OO-kHzg~(|a#F)a^0Abc1GT$Wp%K3y}ykkH>tkSR?4yLBRt& znB+Lr*%}+E9*_*-AYNP;P2!p(eZL7Wo^+sj`rNa@E=8xpC%P0!hs_SkWoV7;k#zR~oa;>nbK4$KQjmwaVLj@s$I;%W5KASgXCs1YD zGUKJfSgMT1k6(0X_~wUHG?9^Yk&IlErD58{1$-pWpZ>TF15bq1NgZ|uo|GfE9qD}xB{`3 zo5o_xG#%xDIVQi=>_d|?*uNrfUlCGpj>!!K6?Sfb*kE6MlKP}Y+wLuKwO~4Z>)Vx^ zx?0cQBi7V_uHRMFy*i@V4tjgIe6V_5r(HH^L5V7A_yJ1_H@lZ56l3r$V?B zat9ptnICo;+w7`hgM=_=b0mPoyt#uLM~>}Q*X%u7XGA3HJC7FcDRv>?2^UW8ixN40 zG}bPWh3At-pt7b}6SejgT^FMPP@x#FcY_~rGZOM$PRezH!GB8Eq)|-)+*e)`x5}DP zDfb7}wP@$+0G2ZXnpzP@Pzu038w!noMmX+*uZ)yZo(_A5p*CsFB=1DF`UlK2(fsxk ziQ5z}!0#DL8z0&>gw+(nN!y6Tako!Y;YCJbAsMP?nGd9WL2cW>_mkRY5|(9PG%33fQ5a zUTr&znlS<+=Ks^S&i|zv@Q38Tv7i$o(B23x${pv-vgPqDF6htAu%nOP2xeo>NTZbl zZvS~dxfG#3zZfL=V4NUaZy^G+7G7>WeavBh?C(~{&U3AIznpW~1P&oU7rRYHAd<>FtmhO|YH$0{tE?pI-Ke*s!@z!=Pfv_%d@ zKlH-JpMB2AFrW5jQDq1M+6=I#9Q({ls(*Oiz=yOC^aSOK=jDSXY9`VC! zfGF7?Z5ldw&6Z#>3AmZKvw19CfLP!R3+0XmN+dy?x6iftQhyfyU$Sis4W%4)3yMM6KbcVGvB==qk#U`mN7YNDC6yb3 z%qz^p&(%jVt1F*U;ZKVHe&xH(U5vPcduv{eq_q5M;-z{p_Hr{IxOFnNe);VY%Kp9e zDJ@5fl20^bzf#r5K_o;1a5b2GfmOYuu&!16!9-ZE;- zKP!JDkpTo*|2q;HK7@a#M!S?4TDuVq(wkA2*{-U$dw2V~S)fixKPYtshSP-?ex%VPDbQnOL#Y^8XSx_zD)ee;0&WjQV`^=z? zXj4wvlq%km0p3_6N%=&{xy=SC<#wP>rcK^gE3o_I-=ZX$D&rlropq;>3uE&BE_BZ_ zw1a|Yax-3~t{J7goFIlKCRkq5^zyvS&p&>okih?Y_Upyjt=uFP990s`rrj&UiDYs6~T`{DBVZ58tKbK~vo9iV5` z5c@iizP~(X-;;7oAAe4TyfO8p6kJ~>AD|c3w!xSp$h$(#xcq+a*}y;cM180 zysb%^NsuylzWTLpzI@W$cmCU^n5+x9)43p!(-KL%g5a46;COjP%w`IWs-J=S4LaOdclHrYQ;wt7F)B?%T(z2ByRv|!pN z1D(!9H}hdP!(n#;oHP%Lwk%G&DB00%@${ADy;ZXuDG@cRCMRtzj^Bdj{>-=wL5RM- z|2iMmsuy$ZcoE?!0$c?Yt=rnVtbnpcR#7#%hl#7q+LGIZ4W;Ce3B{=49Vecy&|JdB-yP4@TQA~HIqsyC2pA{UX znaX2xI#JBNbArt+R@m=4w8AUYSwim|NRy7PLayvV_lq5D&^nEQQV4sHuFyeD+yX=< zag-2zuUY1EHXSD|_)N`DeqLq{Pt|7QY7c}h;f1}rYW+pE1)M(n(S?p8PxB(q1W9gy zGFD!@UXf-7j#9|6fVpen41CL-fLrwxM#kwk(_e~oQI#z{Z)PGm2@Xpj5t>g^J?tF#PK0D-)`Wp(7?wt)ln7>j;G=w19F@%evKCAUb>ULStF78 zlIO_MMK>`)TC}No3@iSE3E)wbH5U$P&JNjr%GQ;?Bn{&2%2L@5-7n;W#nOi4m-3rE zg=s#ed@%-;E=bHyiIa9KGI?yULu0c`%20nx;?6!Qm23jX$XFtCF;A0*Zq}UDjY@tS zQa~@_tYx+F2w&ie_7!bgZ2X25#k$6_=eV$p)IrSL?m9Y{Z`+T(GUk17!4W`NEWMCn ztViL?$NRa&NEavZAoP4VT&_7`bU=$o% z=CXdpGubHOTr(l1ehPK%;|&@Mt;E~(%ddpoBY3SCr}4Q#AC-h_V%nU(LmC8f{hl(L9fkWSp!3)6Tq0o_$ z8DYhN7Z($}avd(g^T{XxbymnC>TS(4HQBEXjOMCy?m6#*S1*e1uZ9h9HGt@xgn3ea zY3s4$AW2^^a4i%lw#zWRK6Z$9W!YVrYJ@xSc5)GB2Hj07Y6~f@Hho(7bqICp4S#=o zrDiAYoc*F7kd4%qiEtxcoYp{w?ttc)Cg1fvk*=pBM~c`-0oeW7cIL#|C4PY=Kt{IP z7RiirB==%&@9&3&LuX`HhCc)D(8;F%^+Yn(jN`r}31Msy$d=VxYxkbzU)ukxbn+S?%=#znXUV^j1mrx)+vq^hopbjw%v-CM-es&$Yg}4_$aNfup!a!h*NwfpCA%rEt8VuV}NlFs$h`W&XeO1MrNFLdgZ|a?G@lPSH5lW zPh;l_@(Jb%MU^Bp2*AaGt*4h-sCwA`r7I?@i&#I9(d*b!O>|nb1Nr45KaXS;Y)2G! zV2X;vn2WZGs_bIKz&p6%sn%eF^s?hbZYN%DB4tIc+fR0Ra+`jch!5>}$IeMOtGsTj z8J?;?qhh^_fVVTh%6H;^`4le@=-s^=b9rSe=xR(g$RcI^qT!fT>p~Z& zhkO=tK_V4w%X3*Kb1)`>nN3j+~Z-6ogx z6)@^Dyt+*NJ+^i(ehT-wH2!cr2eW#7Avieyv1jb@YsvhAA&SpHaq&leF@#bkpFqN? z#$7fut7}ZKXya3&`9bx7X-btj3Y#s-<98BUaNEHN5O79#Mz zUg8j4n50{;G&rqNX(0>$o3uHy>{-|GYT}hn*X`qutgi7znBShH@tjs_pNK{V8m7_m zLCI9y?UU1hvRh~3f%8IC&rq+Yu3y;p#vP-H{gmAVxle_tM+qi<>nsMT*Vq|>IP zoq#N_1UAr(9JO_~iOo)^{a39@{c)PKwE@YN>ZrZ#l}A>z%y8Uy{&Yf@O)_MsIfu@= zKdiT}Y;-xPXI37(`DZr`B*{f_t$^%}*+(h&snt35g3_#W67|=c-=CXY3^y~DmR8x< z%J$A33%A|o>4dgDR>5d>Bc$OI*^bM&1VR9Ykxh=>pIG9ye}A8kb3T<6fxjIF89Kkr z%+q0ZuS=g&sRD{hoW4h&vje@0Hk7!pPSH4~=C{9uov_fKr_cwJ#YO-(qIEaL#fYbm%MG!=C)Z}I=Eex2T^azm-rE_%X2r23A4n;*^fOMxIIY4S4 zHOevKx%9rD=RW`Q-@CopcFxYZe!ugL&zGCQng`I7XpWjj^bZdq8+|W|V?YRlDaxpi zAUD%uretCEVI<>#_LxC65c`eQk{=T96;rqvK8y~2q5#Y9Q%Tj-ggRfFuZ<34t@-tt z85GI_sSF2-^Jj;IF0ZSDL*mMO1FNw5-XP6fMz5#QFB$1<9qn1iMqa(ju@mUtj7LJF zWSRfRPdBMHQsLU03_WalM0lYceeUo#03JN`@y`}kFt{EASw`k`cjmkI}0-Y?D9WJkl>G(&&}V6J6bJLD2wDX&H># z|JIZrS%IOPG133OrjM*XD2O`Q66iN3nXm|%Ut$KFnj~@I0D}-u&-|>OZUK8y9M9%P zHY(Q7adnQfYv4*Y^Q-v5eV^x$n-Xn}M7H!lnj2FaRK+oG;`ODkjtqPydJ|_X9e^t} zq$;Bgvoi0lWAK`%1HxKaX^O_+fG_%M`bSg-raZHuBzLBgDv7pC*WKWs0ZAqx0tuqd zzBBdP-G!tvSrce~GVM7zO%DYM&8=&*ceXK%Vk9Fu?H<(jWNn5%3)u+Hdq-y8hAJVon#bCrI!+W`tp<-3`K&rLe_B+jk+%Qc961Ci8xvTi}! z$9L19pXss|%T|JS3NqiJJ|wzC*8(^D&WmoKPhR%rz5T^v;C*>=V;ertnTt`>g)lZ9 z>MykvceFyFABwTdMyPlW7kDa-+8(+1Ft7bpRC%bUZpfIiY5T8Cg8i$(s@f!+KDFXZ zS@L}8t9O2@FF+-<{%Taw21%FlSf^XH;~I=F4-YsucRY225d)d!b!D3DkYDk^!asdT zwH~dG1)cTCv#@Sw5t1#=w`DSXGL`@)6Mp`MTB@yLdN9tye6nv5YKMK7ye|szYsc;j z*jCBcX)FO%sx>Iph7Y?R82;tyYq|55tdr6YD^T^lLOtu!Xp`>xD!Y?dk$^8s)Y+9i z>HRhb^(4pENNfrrxgS60BC`hR%3>ek7eJ?l5N+hWHn)~M=^F{gr;#cT;`JzC*jNsg zH}yBD&c{K}e5Z^9ek(Z?zZm5(W)1+`k!iu#8Y{6~wOT~qW=gV;vZ>t$!p`)RpPMM- zD?<@Wc|X@K-!lh=6CjaKnZB(FrIvxpqXcZ7KN3iRm2AgnT2uC45hd~_cXJq=ZoaMk z_yX__$^N#9Vo%~ZKtQky#=Uy_#YFz82BW#W|Lg;orbwKIcXL)f@wh7E^p`N(b=5&< zL>76)@>k3Mi4WIoY3T=44d-QIYPI>5DdBVM98@X2Ca{qf|pbkdzZH6peip(~R`2z;#%1FELt9`GK{>kHE%ps6g z(soXmxX=2=YCA$zC6Pg0^k8-8ak% z`wda0b;l&Q-)K;iW6oLc1Gf&P$%|e9 zppq0X*;d>q-K%~qN^UB$_QT@R3*qY2D~ZdeexTWq5AHYCx>@2pJ?wQ2ZXd=*U2P$pxy@BQs^99YV62As zr2i}v@7MR(C@Eau(qzIlBrjQM5Y<_ug>X&(u3C+b;HM8$Z9B$Q3C6A-9isHw1`;C| z?i(;Y;dvjo)D$N&m|Y!=^GJ>S$d-)>>Y!OjQ?DDm_g!hTCCpvQ)tJg=(s$JjCiU$S za1-kc=Jj@#+{}hdHI%8-lGO$=!`*hEvAS|4x(B*1mzVRXG@b8WpZx?+MSQa*w2VFfeptuYa)jxiMm=8=tf+Dwz5bfqHZcyl5Lq%^SR$qE~%$K21Fu zyF;*ew6KdN-%PozHE;j3RUvDsfeC7wNUUQ$sww)~)v`j-BCXLCBEx6W;dQwBh#g(3 z8QoNTg`U*xCGYZB`wl=`P5F`@GGS75=RiLGCF+qRe?Z()YdSaYaiqHWbg2HF0?C3X zjP;m}X1m+7t7|IzS(W!zyUTL!t@VNO-d6(E?A|N(@|y>IESY3loUGz&zn1Vp(vAQI0B*!}Yc}9-1Ni`-b$^FW*Hmv;!cA{28lau&a82T|v<$2VS-qU5HBe59FJrUBHM7VleG(K1XD z-{&#rF7a-yP*0_+LRu>|F=TJ{Q_IL23b5|@){r( z`iQmpQF?6$Pc=1&IKAc`CY+jnA~UQMzTv4t@ewHM7!^VIcM115^8IyAliQQ5Lj08n z8MrDR?pCsi#(O$7uu@$Pc3I>^sk~)I6k#qD|4v7;rwKxCBB_J6lEh;)d-juSHL=8H zx+osI2kp7(*mYPDZwk`vlj*VGx)qaEa+#%4ag8R zYnlt<{`*_LL-E2qJzNh8{3I7vgoD=-hofRJPJ#u6(tl-8A_H)e9|bQlLot*dt64K4 zNqih(x=SQC)L*VWL~gTvOP6d z$^>WZW!#5RZCYJ3nsj|WK$o2l@WAA^_ArgqE|wNi3D-Y_&>Sgc9FbI&Kx2rS-5OWU{)t)STz3tQgbVQcyZzq3)ZT5=gTC{ZCPE~LZi z4~Exk2i+u$QkzzVjXvl^_tk}nJ@m3lj;ra4QT6pw`sHB}2oJ&+0yH(x`s#N&<7d45 zBOD9pS0geaTB-JFy1NR|cD^P6`NP+>(Ng8M5sH=Z0wJwM6H7>NKa23&rHalb>%Dua zkv%4VAKHM{Bf9|{kET=VKBTxY8_AH zzG_s2n*a4n>MNTKL?(l>29&v5JDaJuk4q;KFhOried0_Od&@A86z$KZUO7^AZ+s^~ z>#dDDwbi|JIp^iHhsZ^LOQ0`ptXnd9x{05Zm{UQKY9U*$mC!QPvA<>;OV3usk%X#7 zO)M>wij~~P&3u#^1I5*Tx(&gX>fYhORPgSL$@n>&^*W%Uh$yL#%I?gjCYkxnTm{GX zY^gc$?x$w*!d!7d{oNFnl*h8f2}v>bae`i$ue1H>qN z67LWYSnkJI)J$T0KzKZp`5n(Za37bdRvJi2x%Amds2`(%sb&V*9cua0LIWsA5h@16 z@%khZuLgY=hj>eC3guEX6c$0H5>b@4*>OmlR#0(KM*C`qEdG%|Gb27p2ZtcW4gj9miywko^?75%v_U&58O3!2$9|`r@^ZVXKeQ3RSOk9_eyo+Y| znHLd3gLrjD@}TEcKX8uK1tL>3VVIn>*W-4`LEy-mFegq>XKm$7oU~G$qjpn??xrx{ zg@F;dR3}H&CYvJjCn@{Z0fS~v&VlWU4AqTeYIaKuVjmUD)pV@LLmTbmX%7dI-*W~v zRtKRF2WOuPc%deiv+{Pjvs?XGg>8(!w?_uDIsbzkcP%%iae&y5;SoH5f)g75MG8W^ z1L~dw&mKL~){rIH-DcJOpa=9&w@&Iy<+S#3p`^IP z0N=>KMmWvZp=Us6)A#4pOW41n{I@RS3w{g-cD@&T(j`#3eaY~1qZ z(tBWeI#oB;17^2zN_*td^h3De`kfpwS_@sGF;?`GPr3q|IK#FPzV3&qB35f!?V6gb zJ6%}91|c~BKdQDxu(Y`RyLB&|!LjqT2Ax4WXH;>0Y1Jg$L`dFmd{@cZ9yTc@yIWd$ zYirGHiP-m3*>C6?%Cew8@|K?=PmNIB&B=l@-U$gB%2mg36On6906by(K&hw+MkrS{ z@|_~SCgO=m>?&w7j?J)P3>Q`V7i9-bbbhDP8J_@u=L#C(Ass*d!s;7!59N0X^iLUX z6&QW!5IoEUon&6&Tj3u7Hi5>;c@2CZy-WJ{^}lTfbw>cnDz90lJAX6lmN>fU4LdKr zpFm}oNYi+>XE=Nop0MDF`mXzDZ+aMgvBz~53kIrd$Us5ms57C_1k_P9E#Zgt2{-JO zy4=CY#Z?0hh*B)(FlO&};uRoIL?;b;DCDd~$?5n@4MVKIPCMq-=j47VZG9{82k>0% zShsK;Yzjc0$u>_7M_xAyC_nuYP77l1v}j)_|1WHBzy=ByrL6jB56rbqIN$TRmPt{4 z4krfqs^~Wz47Lr()_cnOPvQFeN=zx5(_j63H9i6Fa8aB#rm1)tkmfl+#Wq>DZjmW&JRD;dNF?Bd$(DK8 zcQe{yy(F+Nq5NU5FSq&8$3F-?VOf7J-SqX2j5^Le%K_4Un(X!r&tbb~k`8APED5?z znUZ2JZ{7u>p%2p6o`BDK?*IIdb0`zhaO5IOZdqP66Mqaa@-Won?j`j+bB%v@^7LZ_&yXH}?Sl4jKvJ zak-C^#kC}HKESu(oo3d1Xx9{r+4VUGn;Dw}RLT%pKESAy zHW>}t5ep9dSv#@PlJo^kjW8DIC z5TfX#FklvSHtnb40EXJK*ox=iIYR8#jWD~_-tWwNMtT1gBK8XN%D1Hd4e|=j%7E_& zT+%SnfzLS)&lYE=PN|>xMatEUd@s-WpyK^In(TMDX6ADvm3qdye6xBLtSzh#o+=m2 zlnZlm0Dq+uYz%01p$WU-$X9a%PL_?RVV{+iq{OFGTbjDnJ4t4XzGrVDFiCjBD|G`$ z>idP=7m?w&i#=>b5U*#9PQC%!&EO9}3VHvs)3XkcEr@@IJl^oVxS&KI4*O>AVEYbG z_-T2*P5o!Oi&b(ED)k@o3g96?==hyZflB?~lnVBO&SDuo-L52uCjwroiW&-)k4%I9 E0}7|(U;qFB literal 0 HcmV?d00001 diff --git a/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201944.png b/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730201944.png new file mode 100644 index 0000000000000000000000000000000000000000..288e6c508290a8713e669fe42054b746a761b200 GIT binary patch literal 23730 zcmcG#WmH>V+wR+z;#P`#fuco=JB6YpI23o6;!q@LA;n!9tPmi$OL2D%!QI`8J3Ig9 zdER%Qv&TMToH6#;ACjz<<#Wz8=Y8G3Ylf*P$zo%WVZ3vZ8vpCOE*sw7mF9NE*2KwT&*453^maZhv+lQfBvNL-SDVI`6u~M)AbA{N6jBh zw&NUPLv1G_qVy1CLv7A9yzgA=m!@Q)s|?j7U>&Rs9V|+G3a(Sr#5IeY?1=pC9q=w&yEqv5!VjrUoUr|E>7b%CJd}|9{RWPPQpRNIzo}FZ=61XZ7Q; zt|?@ix0(3YWzOL_84UlvH29S@RQ{iPAdAX>@n72^%mE(Y{~U?&`~SzTA*roS#-bF( z{?pds+(%tHC&s>IhU3;e;FI9;6P}D3V=|OTHS7@w)aj_VSaEfAlswY&&ElP#7UUyF zSjlxp1-N%yzr^ZQ8|ONHd4HGAtr?xoHW$JECH^c&6?nq3|?LDvSnO zQ=_6q1Km8p1xs#kn!h@-_q+W(USh$5gpZ!=_xR>JHdd6AbNaC{fCl7=uXvGqEsa_( zwo-9cmkJ=jMVTqiwTuGs8<)teCTkU-AG%kwv+B~mS^g7H-V%!R`g)%;@+}zkWl+7M za9|8j;468>^avJZmdOK)#C6%gd|WTSGqvV`qnK_nJ&7gd^2WQMh7FQ4uldwzTd{3k028p|4H9HDy^4mKV&XTUY>Zql%a@5(PDScob{-lLHt%bim zO7ye`3b-M5Nb^7W?fnuOX6zlu45ATn!I13Z81~e$e>NPt7ClM$$a90H*Js+OUg$zxpN#wAGI!Huo)O-r?LTGDguN9AzeF7#|#s$uhY z7Ds=?U#c z8GGEH|72N%k;dau>P1uYk4X0RoCiM}4KLr1f*;?fJzsdD_ko0(cOCIBw6HaD}!T_GFX+OcQNgB|w^dG3ee3dx3+jwy8#E%xOK z+MD-&w-^NLtdGjy=7Ux(P?NtWs}{9;>sAz-D}4@keOtBbjZxyN-)WP>!8KQiE$gJC$ErhOCJ|lAgTf=B=bBgwZy5? zCaWIvQpTUk%*i@iQR-0`DIb(T%*P@_8U@T$GP^3nwCj`2 z?}zX6b*l&8Zdr_k*3Ye~M?LF>V{O^!-G#F@$k|SPyjUZ#-B9%ZFfN!?r)qG`b-&w1 zdmq-?-oUNNWJC?*iD*7>?M&ulrJAEWP8N%yYd2TX5wX=q)I2u%$cX#rP^T~SvmBBG zDvbg7-}lgVj#}?*?nKqbQHa}RoKJ3yoC)~T%8z*pbAB>&fP-HEr;UKSR-m?+>CY?zz(ck1mEgCpmo$;K7Fu>4VUDSEAG7XAK;L#^__OEfcu=i3R9|^G`3@#JA=v>lTo7s(vArA5eD92p_T@ zK6|^BA+*>Gi)VIca(AP%G6^~^ZCGZbvSCp%goM{Q&G(^dk`$ls^}J4?0%xb&T&V1I zYv1M-<}*hrai%e86II2{z3$o&>pdK^`G}PrTD$vG31#z!L=AN9_hXf2?kgo#X*K4I zK%Rty#3NqHgE2_Vl57_?CS|42LKBsOQ-7d|+d@aoYXNpVTl@qp4LSZsS)0bIEqnej ztTbQ2*Wci&x}rVK)r`AZ!UOX@%<+SS&WFZ?X{SuhF?DJGO;r~f*8kEE%{7-bK3kMJ zj|Q=q0-9;;L&ebe_nmO|9C;_d)#dWpzVa_dzvgPG9=(XA@b@n#5_~#iI!>?g9p!Ac z>RKr5dSe&LAWJkXoZI9Z&T8v8%7|8XVBZqgre|drIk8NOKk(>>zn#>eF6w99VVKpH zus1|UZdt%_5tH|!0x^IYM$a`(nDZ_=wEG<9xb%Dm^0%-4M%loKvIe|4fn6)u&=Z`tSbAYhNgU zl3J1Zg-F6ZmPsAOhA*}FYx@Oaum%rp+LhOFg2Q>M{VDyNRNH7ClYxI=vZj=jw)dkT zCr6*%V~tte&)44r_%53c>1Yb;Q#w2kcrl=9F**YWv_yi^h#tHm9o|jZQ?pXFlSuAFT?6wQ zm$9o4IXY zLM>fZIGIkZR%7;m$~R^#wEYsJ69xHbV+I~r2$;(+9zw<-y!dg44V3-xf+CR{rdKI} zckHIlIujQCYbVc%(m9J);9Yr9thCU#mkF}|)#1~^ao=S}c^#F_t!(iWIfnRxa1(Q? zv~sLQ4TYFez^A|Hq-Hi@ST3zSppG!q>O*sm_fX{8t+!xPf{Z;09@E5hU4@W6*kV3| zGC5~i14-=SD0Fuz8yEB2&eT2R_AOeWnAI5Tnu_vT`A7yCLvV;ve*Bmx+vG6{$>G-= z)psl@4cx|K*;X!TgkFur(LAn#qfoVk_gm~TB629jqF4p`XZ`q5kwetFJoN7YJ9$I4 zKdyAigQ2;0>+|;E0~Z|jOIj9I?dSK|AO>J}vt4#2x5P==%MHu4n4)Tr(IDz+Ve+tq z31$^a9xB|_r5_(nE^8)wva;qXvaq#%X5Nf)=`r3i64x%hd{Ak94-ytbDFIyG9AfBQ zTm1HDmyMp|h6ruh!QNVgTd~P3q7d&U6>wac+z$pi=S8#c*$4!Y&KKM*oaz*dDk{%g zQ(=wMQR3gG0~k|Bt1hq9Z~Zdztz|zi;)NX(8}S`dFIY%nf4^C9gNBK#Kgf9bKe;B{ z#-0oe9!UPDmDIp5?Cu=rT#1_bVR+TN%7bXZOh`Vm;qYz?rcK^7b>}eI(+Q9(TWhggk}MO_ z-AK=1JdKo0ograf8!xpePPR=!PsR;e=>g6i?2byz)>7Xwn@w1~;pe5|nwx_C5f+Eu z?(6r^{BBe8dA4TiRaVAo#WGkU&J*67s953*l(16lHMnvwHhHNJRWmB(>zY>3oP|Jq zYB~#8w7$Cl9DJO1`lyc*0j)~(9nDYm(~ybHW3Kx9Dd92M{riNR^99~t*5YOx7vg9% zSKCo-(IIM#H3F5J&sQ{W1T{&k-o`%l;=2S|aiX?_CzTDaRhwcp^C?XK=>vQ> zTdRZ>=RZWP_fB)u`wuPS&x!A)KA3dM&nzhKfLy_yd-dN@-*l2w)o$QWhB0vWyFrz|MTD=xpu6#&5G;5E2SB5f%H ze0^bmYU1)&gexF-8xa&EO?-#Q2e{g;a2cy^9+!`87+;dV0vH93e#_9&QY)(%w4)uwqrms6Uf~!&DOmC(WO<{G#;I$5N)X@VLO0 zIxCVB557_aAv_3}&2iWdDCo+lG-$k7AqAvWY$11wZNXmbr&sT@vt_YT=RlI5vj&?- zGsaS--UyLZ;pgQDXeu6W{zPl2#_NfXGL}@rYNDw$7W{*V!5GCtKAQL7;gq=jkXr1} zG#-mj2f2$?30gE+=EVun94MONaE?js%9*oWS&ia;J&R;62F zC*NHG!fCI;gMf8))4k~4bjdA)P8-t<6%8@5#!lI|KkQX!E7&JwL$Us( zqvTxd@XdZzhMeH^n8qJ)ES-!+ihcdJ(VBnW={x6t%;s3LHV-2^eS5frRP$|q_nF+Y zU{*Fj0Ke45KVVsCkJhM}ipr)vKPSfmg{7H0?|ct!JJ-<8kAI)rJjZ7@50d-wqGSSpP}tr3f*A?d`tyej1Y+!U zD;R`~42jRL;yk-m!R}}BI+ZT@QTwq{=Q9%wuY^Djpy@1h(jQkHXFAgNrMMB4HWD74 zmmX&Yq=24$nwZED!&#=JQn}->IF3*fK_QY(qw>lJmmLph+L_%9OGZ5< ztLJMFkSCrO?-Q>4pxKXD5|*wwpiK=I3zF$HY_cAo%skV(Vl6zh)gygm12}R7I`-PE z>#Zk%^n?~#teb?7YB0-FzG+*x9YX4tR;>t033)nKT5(rPwTz!80$P?nKk8DBo>vrE zk%-rBH0@~V?N*!g!5+L09~~|%um^n0+_L&*+pG=YZ)7n9$a!0%SrS8LKm9pvOpV~P zR;|@WdNWv0lU_LJka^4n;z;X07Ub)p!vV4Kjti-I$e=SYis^%??x#ZhMZn}_3!*at zz|}7C3RtY?*dt8ZwK{mY3+G|uhMleX+T>a7lk1AC=gOyhRZMpw2?t1z&{cIGU=}3m zMs zdL=s;Pu`Cd#I&7wt^7>3yz=>eiX>szOC)2ua(sOwRL6{*K*)zm2!u1NM^wUg%!GBd zf12qA%kC+t+5O&w&qs4?q)jBW%VU_VNLtjiv;6&GH}aJdCMEXT$!Sd7Hj@1H?9aTj zT4pJ4pGi~D_hc=-)4W0=(+YK^M*+ED!7!MRbXD!g{rXaC)RWzprNM`%W}oT~3d;D5 zm!R%U>KFBP6}U*Rl|^QoL@TYuf)n_P+U9pD1e~rYCd>K9-vOaMO1cHh6>AQHFm@PE z|6EZi&$!4cPT!3@{`L`35CmrtfSU0YKi_V83PqPynTj=GnNBDVjzd;2Y8j)EN%WYR zdROt(i0(NPL|$9UoV#`I`{U}8<*<)(_JGg+>e=8A`LS;wgZudU$+9l~C_EB*;_aLZ z@zJaT5>csg9`4J0jtNk}$5&FhgW)QpMCOQKRF50>hq~Q=w{!W}_#Lo98m@Lo*Am(b z4k1eDBY5&A9ib$i{`Q8=Td7lAV~~NZ=v#Kf`fp;k)}0wsYP_JeZ=_RG3?)EzP)A*$ z%lESB$aFlLVD!1QC=~F4WS`4mVz_Ovmp5U8Bk^%ED6?V!=0{lDM3r88TXuC?|CAlP zE%PBcCe>G}>H^X8S*A0L@MASWAtR$SpU2dm#tw+TOiBX&HPXtJ6) zv0|HO1AC59i9N6tGVus(Tc~_>z>sjqZBqy^f@HvKVVzpqSmLj2Mx-jKh z%Cj?H>AwarKj=yWr4^a2dAvA*h1q^hA!{Hmp?Wf>D>iMP;Pk@Ea?Bn!woe>&o^!QcX}wW}$uOAo1L%W$<&(%HK@De#mL;4#SBLfLgRy36>G|Q`38|hIWHz64D zB|GKPIinn(JI;KujN=SIc$?yJb2cv=OGD@R#Pfu35hcYVjw+rC&wWiXydD)Xm^p^z zKFEmA;XKdHbq@?!-9m$pZ8>$n3S@U?!z3bmw_I6$N`@JnZiwF<%8y_)Nd1pIbS5nFPFJLOUe8Ad;Hw*D)XgWRUqeo;@A zp2lFCW`M=elbMIeo^J1~qPl{^rJwTgXv4V(dYi*rPk(VI5jQ;z#S=dYo#--z{X7s^ zo?!H}l}1ypNy6ccM2>g}HKzOdMPTgnU!Qf=rGx@lJBLJ0X4_k4cR!j|IWNo9=Ht#* z9ci=jdQNatI3isO&I)$yvhk*F*Rjcw<|_X-sj~3q(@SMxr#gF$@`l~T>NU~7Ys3eKZ3y8Jij-1_5korMQFB!7T>qLTC6r zm15%hwjiq5yytMkxk7G>Fg6Cbd8=YHx@Sdrx3k5f(@P$2{y)0YIMw}6A5x99`7J5D zL1?j0>>220o%fU7KM&-*;=AzOaCis()ei^Z-{`l|8f-e8N5o2g&- zFR$rd|4T*l^#u3`_G&z0Tkf7{sVa+de}H6$4WF@W4zN}$F`U+eov7hW2gC9T<>&T# z)W>|Qq8_RZra7(T#!f21&RgPL{?BceiHs;cZq*2Z-3`rDMkFETPh<2a`8&0pF?P5k zV?=ozCykG;A+XlT90tw9ALW{sWPgEKBn_~ zu?iS%vYtlQE5yY{DA|pxJYRb8xDx@=O25RX7wYeNVqX|~<_5$henlFAsuT5Bc}efT z$Nwp^f~oA0R|tB$$lrdL7wp0uNkWws-`}K##T7&&sB15ppemJyT(_mpe9p8&pgr+Z z5_5R@yY=A{`g2#OkUS`gWdI&vPtYlG6u|Mv%AMFy8F7BZ|mkk$bVU19;T8 zuMjCMnF!$0}{!?&-v+793Sy(np-Dhopf3T$_l4`*SWVyel zDk-*@JYhTG9I^be{2ON7>eJc??-u&Ql#i3ejsf8v6I0~Mixv%M0?g#$1e5vCIqOXR zc}w8#^My>te?>Zj=*LOD*{B8|w<4o@x@eIsoyJAIaj*=TB2Qft$u`!}Idcb!cjfN< zW=VQgw7BhsSq7u0^+Y)#y`cNRGJm_| zbADQ*etKD4TzupCe7w^0^f>C37Bpnv}u7Rf^{q^`r#h*K|{|O3ios_MTbTRuFf5EHLJbMLB$+8%0>Mk$|8va|j%*ZMKmh9e{xWd#yL#4BNx1i6_iS z(vivLk@H(q@+>YtzA=2T5QWQ96GdIMY`CXfA8VL)uzEGHto0{4ecWESFT_vg$8-X* zxv`kWHTGC*L(W&|x1Q}#&1jw{eKN=4f4U@vc?JS=@Cc8Mqq&6So7e@PcB(^hm;(i<~mB$oB*hGGa$PqQuowojnLnm5#(>=9iHxDLj;_&i%lEPmm>q3a7B#k!4slqz;9ex{|%+cEIC_4){r z%yTjaqJ;a)x_1o_a^}Di)yf`QhjM9$ZE|2wqnvy0Of_i$lAqeU4v7?LTkIGk2LL9| z`yS5n;}Ui1#L_1m%YA$aA_t{BK8Y(#-oDbas*<0#tP=TqK%wd103n&@-jjW>j_Vor zJAu?1O1n=<#WqIUj$Rl993$Z_o5bo%hzWPC{xSM~p#XvTF8EqN!^*P@o@^nmtL<~H zDs9UWW>TNOSQV9ZXCbiOK-RtX<$;(HGyxcuWzv=3c(xy(PwzN;T1Vk#?SL6I`dQuH zEi*c7-WGqlRojkmi(A5TB^0QvsK;8Az>_al()O)$sdiNi8XYNvoM)g(Kz}cTG~%v$ zqI04YB1~wJz=u>buJ1gKNlf_x!b1a}p@KIYo8gYs-ki)el2^Yx8JBSY8m7#hjkSW< zirBxxw5!KW55lYmf6|ul!x*6S&Oi+RmdNdBOgsLcoAT-%TMKM%^?Uji$m*K5q8u!a z7&ae=N)rC17;gH+5&#EDPRsc2t?ko4Ihg~mT+L51KFlHgB zlixDxKoe1sX?U7o(BM3C74C*Y#!S5og=gipy++xlsRa7fCzE!s!Y4#sJ}_BB_fU=Rh6Cw6-aoo^Pjf$huW)Ci_ z8cD{iAAf~hK{Er&5QBZxLb)ib0l^7FS<{LE&G4v{{Ht*o$LxWY+_p4H_dr^+#u6~h%rpkHROY&PAXxxE)h!dde;{(z+?5k)10 zFMyPj?|wgTtaGy)bbpZIvqEfE$Y&hBmW^!(MS3p4wu1!!ZMaK&)lA*7QrO99@5^Sx zzQuFNk4>WU>aHcY$nEH`qH$Jx#hZy7g-jX$+blf{M9J;Jo6#YUnP0T3aJ#NJ-sI5E z-FBF5ivs~Zgis>hAYuzcBWDT`TlD5lh-!Nult+w8O-KCdJSX=e zsC${fh^=uPX85C4C+oK|$6+e`LjJbxMNdY4j97^g%i%$RcdBU+u`_s-k%a1+E3=50 z9dl}S$_-;j{dL+_ZV-n`^j?!#Q2i}n%*y0bE5*mk%1?3tC% zipB3b<{^~|?B8c&kD;Xb{^=%Xs<*1D1kk;NGyj(u!hmWkA~I!}-BL2nvRY0p|B4zo zPsi@KDIGwu!#dotzE`HI83}hZFlMw7-L*buF=pqS%Ucg;KE`0u-+4S{uFdw)R@Wl@ z@6e0o@Rw#iQce`_1n_WznX;-^WbSR=43Pt58~LNWyr4+m)2QxF7)aVqRhr^O6G@hu zEV~x$f7_;>E{_v}JqjUSE3#IQ(Cq}3b?!)Nor2Q(Sx#uRR$QoT!bi$}n~odwwzle} z0O>Icg`MngBn2y&+6}TN>Vwh^-h0`t>p4D)Ax#K+8IS4fG7%_kR7&pPR;TZV5CB8& zZs(EA>PpR-;Oj>QY)zAN>E6+H;iJfSPnuXjEIK23qmOtGc2Ywhtj4c3A?fkjgX~x5tV4-A|*#5H)crh zS65v~+B%l`Sg*K_i-qs-XE38&+kfZiO>I8tY7$Jb(Gq>@%DDaZlB+Ly?tWUtje7h- zqsoEx0mnw6q|yO$IV)?|5QQ6mDA+dlM5VZ-lZ%Auzu!jYHpvdxXEoln6jgnMr#Zl6Z$#A^3JXeR3q&P46o#Tl;? zHo5&7O~cHu)$9ts7EDKk`gLt=!NOSVEurY_l5Q)N7B5qD;{i^{%KBLlTz zG>d7H%7mgcz4wG9usbn^xIm z99SeN8@j2tpyUv1hv1|=i#JWtLY$- z>*q;d`avdW-|(N|3TH8z5Zs-hse1vJ~oYT8EGw zd$9J#^?Zm4kMs_=%t0Lq&4{n#r?(#&UCt=Vuouw&V8c#b29l=33a__+x9S0`R6etJ zEvc0Rn^MbVJLF}z>M1FETaV9dxITr*HpUj#PsTc&URlhE5L7+yCjk@H2dvL(lHjAN7o2c-I-vOZTTXq_i9LFNUll8jnnxW~x9a%!?GYE`Kx!8pz1Sr~aa)WD>X zIrx%>hmG%JI+U=J>^fJMYmEn7z5xGI+{39RE*}H@DU6*YFp0NdY?t+d1t(f?9oEE% zf|Z2~xt&m+OV6ob5+k`BL_Lf#khGl55m=^CM5MA0le5|yQD|LZZmy{v`Fm0Bm`^&W z`j`nB1m3gOc!EbcVZP~bZ}t-9==r*Wz0W%t^OnUf>Tvn0tfX>c+owr47DS53=-yX1 zG#@YP@f>;oZ`B2t0pI@p_8w-lRBg42Qm*GOAgVtYj2n6(q9a2CtCpTSyU%jN5CquV z(bpf*NT=tsQkp8IGRsi($f+;?w8215XSjiTNimyWnsl;xGttvSD4Hm*a_tuRM6sX6-X7lwTvSDW9>)qv9Q9?#`>LVW zY?jIY)DwSq$sj|c8LRf*IcUywJ$TeSPM^WIB}c8Tq2MGL4i`H-YtBriVs32D zhnF=t@psuoY@ItbT(vbv?@S{K(`Tc~orWvJus`Q+^Ph&RBmgL+qbORObc-LhVjIWg z^|ux3=;P`&@tUhH6!G^D^lqjA4p&)R0?#jym$TT$?RnXEvpD32VaF5f z`A;-dz~9S&O&hP6mGCXmJXq`jTG#E8+;v1HBoP@5U?W`Uw&dqeXQ6wOkx&TQ=h7Fv z8NYF5TeC`$f3IAdRAZc9*JpOfDWk%gv_}aMk^70?1p@Y|A zS0*WganLfdT(H(aa)Pe13z+}o8JHni*5-TKz|Z^_nIk!Z_Fj7K+ddJ;+veB_);C#A zIS+zf$uY?9cAL5XYW9;)xy?bVByi8Q-={DGFuSJ%BVlu+I;X|0dJ5IxDy}k^f?k=K}K+`XKrmNGl zhs?_d0RU+1-x7cQ-~VdEuO=F5mzy_yzIDy+a~Q>RGak^zeH+@p-@KSOG4`+=t)H!S z|FYHyF(;?KqWpnq$@YCGg$@xjd8hAnxH`%Owd+9FNMe6g+Qf0@alyUiL08Z&ni5=Pr%-VWIP$hPs5qd@um>_zB%kx*P@n<9M49%ddLjDoLGd= zmVL_&ysdX3Oql-KF$+ zc#8$L5zfnyFAEv%9#KVcs-Bf!^~h6#v)gne2Y5^jc}^pkjo02AxiB0}csoQ+1zr`aO^lE~eMAxMmTcR2|8zw&0@rjfJefX8nU(`ZO* z8ICxzTBN3KGlwex2c zl+`X-Ry6Or`1IFBl%#Tjke|&~k}?HC(q801O;m2OORfqzS5ib-i-H&V?jsUt7ixrt zrcCfe8V}_=+Wm1_%?<3JHh6HZyS^^#FYAW}!c=^pV)dA%yIdcfe8t@}G|T^`F#Q_C zo7{+aZH<16Wjj*8B05o=`upX>iN)rvZ@6)F`jQx1$F(_b#QwYbktd99^E6E>%nOsd zvY6GQ>(vQEcB87Y^9%+Xfr|gu5nwbI*{);OstYi-V|B;In#yj#IrE**I>~h(`~C;2 zJL*o*S#(X~cJ}3a3D2g``8qeHpdx}DvkN|iQ55*+1Mm0py%GFK9Ja(LmS$Op?*vL_ z^*FAjpf$V9Z$Jw+%KfA&^vq=I z)cq{|v0zZN$x!rr)%F}WkZfPIg3kFka6Hg|GsmzDGBo&Ro7Y}@$L8P@DozG*rJk%8 z{fFuC=8~(ri0$wTUYGgc+V$U3CrxY8vK`7sK8F?DA4 z*Ui{~cWt{{YRH=i&u+5ng0p@} zMc}AoZqM|lk2ExfHI=`oTIVMvl}iWojik%Z4DHBLya!5*J{8GxF5GfXq4y16S4GIp zv~rJUQIq;Q38qfsmS3xC<7q7);OOGc?@}^a$W|4p?r0r#uN|0~b+lCI~ z^6)z);!*%^3nR`4SKa<_r?B7#+m7YqcK^fQ9!qc6K2JDgBEQRyrT!qI@g-uAHsrzB z-I#Cnuy&2Q)_AFA+)LQstC6thKkB*k48GLw(t)cnQoQvX;_%U+u4G?OjEhgR1B+~HqZI;giwBAN5#s0mpr3O zQW+ZPnR^~kDAH~$DAFr39f$A)vy3U9n!hAuyHWgf>zZ?&j{27e^Zl#@N7vqV6!_XEYOKR=s6usNOOFRGja?>lb=MAH1_Id{r}rqQ2~ zBgR{l0tpbf7DK06BKmwKHVzEKJL93G7y5uvMv6&7+7^>CBJ-|Dk$nM?d43&E;Pq$Y z3s*IJahaytX12#L^Io&d=Cqx;{m|~>$1PR7J6hVLzO(iqi}L_*2@HFSa(YhqR`3Gx^B;GQo;2|Tjtl*?EzWm~yE#v`rt zx~Y|#5p8OP^Lk83nq}$!u-I3sb-+nk5;?U|^dR6kQowKR7eg*Bt+>wry(u`ethCpV z12N;O8!oUP;5eeK%5fPnrF*yUdS-8XH5`ODj|AXN(!Wt=)0W*M>(1(072Xh>}y zIi|A3l1wSAhjV^?`^3N8a2iTK*FW4Z(Em5*)zFCw`XUTMHH($j_D z_~qgU4X?#w$`k%=NsTN>K5|hI)V(gOS>~f!dGY)5YHK*XrPwrw{zX$)pL->aJ5}jw#!t@6*BG7giU#G|#(8F|m*e=wzjSTigi652lIBKpuvH&k z+tPIsW)i`1|P0L#e3JW&o3@QT{wbymfMIWHj zM>6pU&eNK@&u9I4|Ac-CBW?jwBNV;KI`^pN4&8q(%XT8dc6j8$SX55~=rFj9EorzA zfi94rU{#st?fVVmND&RNYza2lc+2j-`x%#i$Q8X=O>{}_LQWXJz#mdYeDZU-zCC%; zw+9}Pp8u+jwckHRqLi4vG+7523f7X>H!{ZDYwRyGcA1c6)W37_uWqh$*ipMt4Xr8e0 z>E@~^TstNZJd!o5YB=GxRokHWeb$$P#)ACwLDiD~S;pApNZ(QM`i>#sMgKM5O=NqF5EC6|5< zeG{zX3!GL-94t$9Bp9T&0OK0vm$~8{KsUXv_b`d6^eFPlRFzPZL*D%E2$kzOt!uWR$q1~W z`HWx@Fpy3O8H7g8x>dawu4JIEL)ooC+EG>5$QV!JcB^l?kp(Y|jT5p2+b-DZhL++p z-LT$0^N0>R@~@A3XWVkVt0~J39i?8RiL)48{!mJO4y7}j&PL>b@LW1eIuWqX$w ztWe|Oz;(D>Yq*I8qOLvDolPC7&O>uV{QU z5=yEQ|5ZczY!AR__9vg&vpZUsUK@x^+}&WsFUg}J`bl>@1Z1go*M%K-H5nvnHAhG- zA~bSdhPf}XB2tv-Jn}|%CCf<=X?xRF_Vu6OW9Ih_~!ItG4XUxM~vHiNEe*-FhKMraCBarRub@7Tm^z?+7I z+uoSV9-t%dFr4~_sgP&e?$9@oi-ET8Ga+y4F`ti=7D{j0sE%@e@B7b5CLDc68(*lt zO*09!26=1lSH_N7B<+-X{>H0aPwT?z;+`5hoX{ z++nxc<+W^_8ORGZo=903{JCix;*`4}`b>B4)ND}0kqm_{w`#*iwybbO=AVl0 zXv0>zl9y>7{8Y2na>AW&FYzUf;8oS1%%==6td!F@9UH72eC$zGn++&T+}<)(rI|cT z5;bZ5Go!Wgi{ht2*NxVgjy;~0qe@Vw2S!;(&jzM|1P=4 zq*dVh?226AjYk&|VlH{^SqxO=J=6gs{}%Is>5=k;kK~jJSu3_a`=Qm2CVG=*M81&| zdR!3iIkI<7BWCn?{LWJk($GuY+Ff7iWdAz8cu<+)-(v8A%wo8xJar_umS6A)Q_w0! zbw(NiRp{FUc*sT=Php^ze#9j7R=v^j2Awz=q%PHnLxavRRh+18^3MqVJo44}sxvU5 zN=p`U%S8flXKQ6kcjQWeeCUQDTmwGuR&2mHu!V2GU221RJ#f29oHY@Qo#JkNc~w1t zYy@}c{>3sS<}uy;-$^MSc<8l=Alv82ET4*RU`|Kf(@ZFb<&1SJ^4b4n-ctWt=Iy5j zwF!T!3sIWqGx}$my!k(K+Gp&}c*GgS^Wbh*6`A)%2*-b(#zWW{kr3R#_2h9P@B7|9t7&Bus3ZF~_Hp(%&d~w>c+L%3K_mco$U( z@k9crSt`KMVC82lUrK0L^yyc!{(p!vosaN--lss;a;U6Q%-?CVHOkI_6eIl0+(}Hw zk-Rtj=w^z7HrJqF$)19!lQ)Jsugj92ACR0)Lq}={xOLWM4SvrWy;139C+>%Fc8KAQTX z8K)#ToXiZ2xjeRq9BHo83Z)DZpHWJlA#l0b>m~xM>i<@MZxRx4SnuWuGPiG%(ld?U z)5hrG3LVP%`qxLFVf1K$O&{WO-jj1`iSUUGMR&(6-HK^WjflRNMfgBW$nQv;d8q%2984 zzAU3ll{9kzG|`(+z64A?;hlG(On4-Jx=$!3ge%b#QOiM~oCd)3x$|FXg$l>SIPY9~ z{3CMhd8jM=uTJ$P^djZaXy6`c9Ig6*RN;x4)kr(fAzw=4I?8R_4?4w}B~SdNWxiv$ zVH|v(@nSTVf&V(gy`Z#4ACxbFm8Fx>#znlpgpnUU;pg-T>Zl`F&4~DoAQ(M7u{(Me z^Uw5{V(jy#?qTs=r*DM6f&*X39DZNObTi8+=QXh5Ifn&GfTIN8PDI=xdzvg|*5;_) z5Fr&-I!LDfox_psYv{?gEH#pgTz|OCo>m{a_20}Z7Z>3Zj9t&`8 zPYhoG37=b4rtL{EjIHEM%E_jIvtmu`AGK}7eUXALm^e=md(BDd)`M>13W(I@9pue#5m=-C=&u_IsfP!CqzX(aES(3+#~_GL{oC`#4}ZadXkflffsI zdZ(3b&gD`|cP^pO0l%Bv;{2NCn3l1=_GXMC#h=}^Qx&kmMLy#}JsU%pqNh~Jd$tS$ z^v#Ejn{u4<=u6_{+Ae9~XElo3iC~U2QI3tqhlhny4T5;2U5vJh>#G9zt{9CY7(K+r z^NbV!fVDF+B;8%raNyLy%xo;wM`73&YW4%(tewre$SDc6ons66@*FqwTbYnF-$6}x zo*$DQXI=)5BniIF{o|YjUgO(QzgX7E5J_emJY>XCkoi8MVwzD+iXSiEX}O%P9;>Ez z{|%cwh!4Uc4#Sak-_FdsHy`SAy7wx0*%tX1=1;eKampQ#f9qM%g$Cg|KJ2@m^rql? z&7N6ifu2tS4O^ZSXP|il-Gq&zz?~?1Jl-Byrz-I%vuj2lvU2dPT@sMYtBSw8Yybuc z-_?wDG;)>YAyC6^N_=DL4z;g6@t0Qz7pBu+7;B1-f#lSG$I$h$!7*@`#FTR76{{iY z0`M~kt7E;TFg7(xHfeilv&Jv*fUX#o^{S0|Myu^Z_9iD|!`IYJh5$??j`MQqj~^zu z9+(fSOb_7O$&9`<)Ju_X_m`^!LAh*CiyO1LoiVge`6OsBmCm z?{V|E=BcWlRF8E6SNI^WqHTn0sldgOoYy@ZWKI@zNfS~o9m)~l`a;@cAQPmg!ix4} zt82Vym&Sum+#l%(`R1ka@GF&vFM80@IpDVJP`r^V>d`wHPD#$pa!SpuwbTcwE$ABq zBc67YLi94DVH2OBI5|u*dACEws#JZM+#};nRI2nBlH-Dbg*<=H0MW!WYPkFFjiRtxi8<4!9v4@JI9D}6Xw(b3mujR!9JIi4{ zs{ioKI>TidA5BWcN~q(~1{av4%UN@3A=sr^j4q`!Y0N*2d`g*c+dC^MLPtFc65}+G@ZY1UqVFv> zC~i6^t9zI>4)4ypb@;*mEENpLz>Nm#S6aM8+aj;TkAXL>j24w@k|b06EBN=bE)!&% zJIfCrSup>6=^vNz6$R>g;diK^ZTuR zY+vj$Xqz;)&(a&-NCA)TVB0^Ge(ju@I7Dy<_Bs9ll z7XZ_B4_NR}Xj4^P`y_3YMq7n4B|Hfkj>0jiFv1aNAu`u#{23)#bOqDn)FG=Y293(E-IsGbf^xl1749J* z76Z`+G*2;m`>K9s8(&A2{ILfukRj>$d0g%V{K^TBXix@#3VwwTWZsM{K&}HXaajQP^t!chZ`PJ z@#Wo*VmPSF6sX~kXt$#W`sE6Ifim?MkGw-MWiJI$u$BF-V{%=+5wII7zo+Yy(Ss>!uy(npQ)T0so@d*`W(ZEzAz2+RS<*07Z|3_6xRC<2$%jK?P474Y60YqV31n>#Kes@H&ATXD_=Sh;4t&GaUyc{|`mAQ$(98k}))1PvHa zG0{=Uh3kir6q7J`?zE6lKU)&}*mOOYyK+s>x6Q~MQgl2}^XzehH3p7{JhXJ_U%={u zrby2nQWEsJ4Is?<4=*F-E0FG&ac@SJDeJO&@V7Lp-1xtBhh~qvs78+Pu30mXj%{9I*6Z!ooOxf{t)+XowOU9SN&r)oBaX~U0Z2P^QC z@erMk?B0$y5XqC-B-I=dc%#%A<@loJ`YbmT9ksy*UL}iF9(CzZgQ(N@^XJokzjX>x z|MWu}u;(D~|Zvziu^Nl5y%P8B`AnpT@7H7XkKt==`) z{Wk*B5QGG)%T+~m)3L%CY68arMR;uYc~;yFO?53z|BWC0n8|su86CekiT>~H-NQlx zZECKIb%S=OX*TmzNykaZ#BFV-!l>BxAO6a% zo&YbP8n;XJ$rrevzPo~bIMyKas_?OP_kyTzaaC#mxSL$XvBCe??A1PQ%oZ5=Nfhe=44gKoeegoqU z3BQS!MR&7tUE8gFU$-#4t^V`w1$;+s-Hdg&+7=x>+Zh zRv?1LO4`R>bO^gm`MLCfEv8|j;^d>EjXZ@&BjckUcZZ-$t>*v_e^m0mxRf^E+%0vA z=#9*gYZ!ti{3T|+sY@8MMXm10UGJW6)wC#jaiqL^WzX0XgNYC*{HnrR`>@xZGIrD! z7s>$G>t3u6X47@hozKH)#j^8Df@Yu4;wd7RE1JLDmXg`e4{WH?kj zlDrk&_l&bCXVuMLwtZwspc?<(lyg;JT0flKo$>n$9}3B=glE~68c1CByEb^xpP@J$V0b_vOK9gjTehX`6*8Ms)A@{iSxHKZ;X4qZsU&P0Y0M%1wMti%%-owy*05@j9)dR8s!a=B z=VP%e-PHQ!acd_W=a^*Melw#H-s*N0bLhMJ_%Aml1To8YCc4A6O4Qd-Didv!Z^>tCo&0rs?V z0#A|8PN?uB9!W%6wbF}cA}Ji6-9;<=e4a)b)ypWk&V!O5))lIG4`*k~4*5QE6A_u! zVw~frv{Yuzctk<(qiyPG0s29b7ay5}Q4gkdh^nAr4SzdKa#C&@#MzUJqU6=i_npMT z=`O<9hYsff0V>x57#W!wWnlf*DK394sI5{ES2%4ui@j_H`n_yCHqpH=B?3Fwp`5l! z+`72&;CK3v*?VgNuT`2vCB7AVIdjjz8C?`bK*@_+5f46+kHD*FF%i4jz>mjEqp=5e zp@#A3`(T(HR{6is;j?-D|3p>~2uueQ!q~#bJ9s;+&pdH3%GP1msbvHydsU@64edTX3f#B|#FJVZ? z@(p<&b=PZ!=LR(w$kvv-e4N%4zo^-mV0bhP9S{H(5~+z56qREJzpj;a8rh8Qs3x|Y zd`S(Y9|hp{h|W)Vx%*>!YnFnBJTocrVVJm7j$DTghUVuzFA6!KjhZ_mw&NQwi$Q~^ z3AL?D{*mf>v5xsLg`aT7nTfns;e&3?vU$O)~I41yWjV#s=<@vrl7HqBaKm@b|u){Vx%BXO5unf=7I zSFCu>ClVcZa)YEw+ZZkO*R~h-$s#}|7qT)m5sVh1Ie&KZ~Rn2w*pObwuSo&(R6ItM<^s6Pss^of!KLkb{4tA36&72f+# zfA0P4f1~9_dS8(R#Ags^_h4i-S2?kWl^ z32m2_Ja-uNccL)-N-~t3ArO4WQQISxu7!(I&H1tY{Vab4Z~o}5E_}sK?>e5{&@cLwt?yQD!_oo-#pEi*Zj< ze47@lR{uC@q>LA|>K(gmO?-~ySovO%%{qpM=)hfS=w~bcM{}L5PqMVnz8jw|$3KVr zE}X+MzAUW^lMz7>!?I?HjFOafQCWdl4X~(KwgI|-?@&*2T-e%^-Vf{sy@LUd&uM0(%W*}^yWF?94PuXKUq|$>sk9e zZPM+8+Wv4|kKg2}CNe`g{vgZGZR3j#zFMNBvxZtkE-@mav<%K<>0V3ek9uI<{cr4? zwNY#$RzsG9;ZzPhS}9W#yG!Gx6u;6P*yf8bLq&7 zJ@fR|b(-YWS}w@JXIO@os!J~?tu4(}8J0Qy8Op0H&$ft6!L=*ddee2-m*QV^QDCAv z93=84zeq6_aAaMFWYI^SlW?PJgBx_Y52)1u(R9VznKx>^a0SI40kX`S!#H&1M2;ei zqhe~nR#MM8_aD?*Jke12d73rE%~Ev*Xm(An8Uza@rChQfu}{pUIhX`NFSgd462o*R zcrXUjF76NKucS6@>db6Fr&RbyPE_2=*XA}7$^bdsJqcz|yM1BEJen&<$js@T>*R3M{tr3+QMbvpURwH!_cIzjjM?g&4DDQv8mC;W ziopc3O!_(yEOk6>5J^~NS6*Eb253@Mg4fL{HKx@|I)`;rDsZkwHE~H`|Azf8U7P4l;?*uV?%-dN43-h+opma)yF0}#~f1- z^J3k$uRj2u_sIUMy|K$_-%zxq8vS=tqqzD_^|j|ms+;!HjW6;`0T!H$nTw_3Sl!8$Q@ z!fxx$Zt^V)*ls)1S6O@;3}MRAX$sal(E@J<&r$1gK6_Lm?5j)y;*{TNVTAQPJtZ6F z%xUwWGJd7~e3(?K^)ukGdMFfED{r*K>UHv~QaB9NJ#JbKw}qh*Dv?ceZvlzs03>>- zIpjHr=$`XvaWgO>m%t;wY1Nu+L5zA|HfVjRo%N~dV=|Hp7{1(S@#1e;i~TB*c&mcP zHQ5N4MBGbs^>l>fLi53jX3Ql=Jcrp9QJa*`)Ps>%um}XBi&>GsXw*jvT9Dza?V$L^ zkLk_y3X@EbZi_yz7R_-4&2c5n z|014s1d6%10ffgP7@;3)#(uA&PfzB!wQ(z1r-~|OB$~@2j^bJotz|Q2%2s6+-EwZC z7xk>uVIuFRGCmE+a-7{UP>I)YO5{yr1uo`~r9d)T4h!>P2DyAOr+ax!#)KL&h{?s? zeU-^A#`KFAra#fE$%qt}!myLywUZPxhg9QAQ~G2ZRMVQ{GLDU5^WOu;(Cvtz*l|&c zMofV(sl;nfxN+?BcQ!`j48Pogm6gCUR=Gb}1UAT=gaX@$HXDh9Azl0uw^AUE(EKD= z3j@hu_V3WrH)#zUEADs*SqA8Sp1n&Hm*wU#ZIO9t9@@lOmpC}uP%RCH-^K35jWWwb zqDYH7VUXCmW|R8^OSnbcrMG~K9*c2GLhArAp0FfqL^Imo0YM5!TS0V7$%TO!j|DYN z7$)mrhgQ!GLh$v~s5qGQ^^A-0>+Q3p(CQ|3DguwN0Bcb|EZR>YNM@>HqWPJ!d5O&Y z2)e0cfreGrti^icjn<6AcN=s3Ndw-0e~JU_2>j>T>KB3kzYW#@*}VN*e!nRmOL0DQ!HiZ^B<%2uPgun literal 0 HcmV?d00001 diff --git a/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202008.png b/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202008.png new file mode 100644 index 0000000000000000000000000000000000000000..fd3719ee8278bd2d03d168a0f6af67c12cc92676 GIT binary patch literal 12474 zcmd73bySpJ`!9?EjO5TU)KDVbA|N#l9!?R{cJs<)CB``5F5(C(M!GA>?DRaED_w?LpQlsy=n_GQmkIB< z72M>}Q!p|_FJI#Hq|P1Jd|%PD&YRxbyp3lvZ`vHAh)cl}dG^q&F(_U1i!D7mfL+er z%v%U|+g$lGA&z#B^-R+Ez-pcYKd3!0G_ZCWwlYcBr+Kt98h0u!aIV;6<3l6lGeKvX!E87X|10oQ4MkjT&dMC=+=8xaGUdU_d*-jSHH#7iQp`is+7ZYJt)nO76~jL zeIqgAH#cGV{`W$s47`f66GjPFm?}r$8=hpYiG+;qK`;)=QT)}J`SQ*XZTz8_`^a9% zd#xAt(rshvgzdI>9KC)rEn6XE6x%rzUYt{&yPs$T#l?~k$%t=;xPbQrURx$t{28sx z_nDu=wJ&6MJxNyj=e~ZMY_dQfl=`toE^5Y-4Lx(4@e*jUJs&<4tZbEPfzgTGMh;_m zG*rpe#kAz6Qwpsi3lo=GG_|cFZjw*9pR{r)cwYat3A(_ccSK{ERA_se=$el2?V>FL zb@ee9BXV|LX_A>CbpkX9d20QltOK7L!BwImOIcr~Usp%3ex`F-YaA#_DY@=ji~0AN zxxO4XgU;W&Bq>_*%66pl<;2m_h*xL%jKf*!Z=W4mLuS24a4APzfNoNb9I^Pm*@+ev zKdwgBAI{A3+I;A{XkB(@!bPSNaVl)CqmR^jtzR_SIgkVo+Ken53TjnqjuzdCt7ln{ zJzJky&$^l@D*M6TQzZ+%^iDqG|JbbFg3BU zC2!u|6k|toT8Oi)Vs#~;`s{kR7d4n)D}p_#26n_X!?WD9jAvC61G7Ve9|+5su#v+> zoINFk(MR1jG^0Dzwx3R6x9sSu!TNQg3S-6m{$xEIlwIYUs zoO8v_BU`rPCVqukV{im^t#J%tD#w&~B1W&8|7)7e%KPozZ0`(p5PWRw>_JIw9IxMW zQ_z=OsJAm8Z8D>aLYl^~~MXVDjn_p*Jzz%ugMs!%y_hdB` zh8^QwxckJDqN?73k=S|7W4?TSJ&gzHBEDvLfqjGmceB9RT|bt*;aPfE3Os*nlvsO+ z23OO}Fj=E{_O|YQ24VFcn->q~1El;MTBkJ&iwnIoY?tI2NCZFRbbW9&*w3sU7J|`{ z_BqBJAJvN#TAQ}nH*6b@U}%+H|IDcqZ*mTb&03d;a4EU`fJe_UmiRH<3CSlW)+PgU z)tZNd^tnk_)r=2m;PYIsR+r^FWgs29C<4y=WHWm)u>9CMU)E=|3)K1o#JJt^vD5kH z6&wbx85rZfXfRnZnM4aPailn@Y#NRmtD)TqOl^Mj?0HPWm!#&63O_)hey%=Z)+!B| z!LE7}C!08%Nwn*dX@%6eSg4Mm5a+Ku-~9H+#I>U0zhH(|lgz+^^6^!T{GP@Kb{=mC zm(+4j2M2V9i$#QsM@#*hLN-^}ad`U$p8lD!wZNAQ()7f;lg$>WhoesuhTN#nQfUyY zioF}vU#qEbQoXDvImK1eHPVKi@+r4|S_iFCBRck(J7kW5rOvSHnE{|VvC-XH2dYTCxRG-pl5fddctK^6dmYlIR%V|*Pr561svi@6) z1Fh49b~^9A9I`7-MeIvvecKFqQ0D1>+tw~Gb~V`DZq}XCbl;f(z7((SYFc3rj3{g@ z5_|gKrofew^hFMM+mXNh>_onymOh1qU(3$HI; zX@OJj^5jitPZ=tpU2dFKEE0r~9NgVQr(V%gl`T>u+Dtx(ei^igH=1raE92(Wt||2^ zN2JiX$WBk-*OA~A*2;;RHYw)@9xd89-}c$jBZhEf%(NJbwK<8&qMr?LTs9(O;z#`_ zOIlay5VFbkX}ay3;o_pIR_b3T;ATaL2r-%8-@J3ooa)UWKlzU-whQ&^g9;!WQY`X* zf#S=SOVkKiyILJNsZ@o-M0fIX3cJSgm>=D=Q$N;|cWW)LNSRiN!|R~9oexkrL2BGz zDf)baxE>@J(x{R@nmk|iWxRi)vmejpgY8U4T^2Is&> zck~>r989br;wv$HfAi@Z_g1l)k1xA)_ML7nQzDLL3Yol-C_nb(WN(WS zi4H1`m#n>iVnVPE_H(+|$;AVm?+gF#r}(E9oV`pY+K-2JxYZK(5v)uv)(%uXava0wl zU-RemUUhpa1>*Huy9ofv{X1CwWIE)$?qxii9qOUA!BU&oFSw5*c~3{oHRV1}o*u|P zGxroC6d31&lTbl&u*=aI&}wcLkO3w80zTq7LWT8#;6G^89OTbD+Xi29u>Ptui2>=n zJF*b3(-s{vP`jDRfUw&SvIO7FrFL&!pgR40O(d9hB-3TKt6S@BsbLcWC3mS6SpxZ2tK(ebG6o&t`BhOb_ab5ehP)(&Slb>Q{~_Q*A#yhB)=7}rm! z-u&>}QDcn2%Vwv-a(~h3x5n4}QdetHW#C@um!up2ABZJKx8FYGSDv)UmGXk=v^UF? z61Onqxai>Z9;+7S*QX@ImZYYGPmTVOS5zodnaV`#iZ=ovwht2~B7~lYnqK(W{WjebAZmNl8=+E`p|hTycY>a%_6r17_8 zN2r4{RI}*(bmo=*9BKFqfQQOw7s;k#N5R54ZpJb^R9c41Zjhju$eD4V*`P2}mI&1! zlp)aU17onD0EkCm7kRXr>d1RY`V+UF0@3t4n2*)849`+yTW-_P_wZ-g{FggV zb>1>PNKB^WeVIcVX;?VUfQPw!W>nO_;A6&;qd~m#@VE=tnMq<*?5Ozoh;_Tw zGhSAmtRx+#NEoE%!fHRS^!Dp*sK8qm|FXzwX2w^M73Pw?w@1*0Ic}A2ELjg*4>v`3 zVxyk?L3r$KgVRvS-(CwM^Aa|JKuc15`N@^l$MlFcTZ5Lz$*v~NF+B6It~G3mBu>z7 zV8lJ==71k73{E96g}F#id;iQjQ zt@2f&h>UQoEx`8|P`{`F{{Lt3;*kKI7XZ<-ZU#)ur)>tJG5nJNWi9G`a&Rnla4XlN z%=r_(fgvLV&=@vDF~X(xMXwuz19Op1?jXsXobzvz`l~em(b%^4#;2rQDXRH%lky-n zKt6>=@Gw{Lv|2_!I z?aBcVS>%X`!1rUn+r)B{k1nbz;P|st9a6j!NodV|HG_iegD7{xWX*)JFCF4$ z4?ZY}=0NvVNKp5y1?=hS{fi=cb~VilQQeY>a=Vq=9_hTy$8N9u&p*VR2G!GRWYU)C zbu*tIc5=o|5Wy-1_h{0lfZ}aE$ef z2O}X;8BB%qg~ltNZ_-wG5|vN_;Z`a`r4Z^p_S%Q>urOpM@%v>EkB3c{q^4ZwVA~S5 z7rOCStw_uH>Jqb?0&or@HnWdr`4WZ4%-Mmpimj=d%dr||?pAN&cQ2!}=FwSxrWC>b z-$zYRxIuCE3E23~X^a*-T%n)H(SD;C2TD!LzcWmyix58#uEe`7>!z+UY{8t}b7$7R|}?4q-3Gn9So95V=2Z z`JbE61`Vm=TMRqh)gzn#-H+O^=9rd=YHgsMDT1=lo0dcL4c#v=CTBYy&5^|ZC#@$F zol+qlb6yH_4W1+vDz2c$K={}um}dED1Qbo^7FA+av(AmSoV+r&NNUV|c+yFln0}}E#|;`IH@S4@FIOFd^9kcPW*>s$ zM3~KqWkyb>h=WJ5k<*$L3j;B+x27N1LySD~UVHm%9_x3ktIf`m;5Z)Km6&hEanWUn zK0V@_Z-bUS&r@B9yXcb`nD5YUCW)xMRgkYYl8?ZBLY~Q+WlRhUA>y1Ak1G3)ZJ71L16)3J zxh9=d!?8Plw6IT)kkxD44FTwZ>_kc4AaOa(F>H7(Ehz5%B5S8M@m}aG`*uHZis%_R z={#&*L0WKrI{kD2XO|37IK*-@sw(y?5A*M^&ah5hs3Ny2v^zQzGsN^SaByG;Cd!3h z1hnm2K|Kf&FCB4&K<|3j#cY<5rto&AMyuaI$q30J8A`Mr@~LcE~)F>Eio?~c@{;&uOjBR$rIXM^I`liG5kI^ zBzwD=Dr;Dt62hyAs&ZO45MPGLe0?nA@y&RD^jwUue2`%cZKG@(kFn_|5o=g*QZaJ6 zlIIA!^VYk4?3I|ExwHy<7-lIMqY~e)pY`@nWL-}7o`06kXbySc^3Z;kmT;`Ri=Hcs z>AlP<)#8WHS)ybq=`M!@^RNY{^((uXdvD1R%UI^vj6c=sclY;}tx+ENqXD(Yt)Sb# zxv9ViAO2O+qR&_CwpJt(W0J~Je7rIF3oMMMU2WB0`6df>`c}*COLy6WW>+8!8Gz&t zi)Z#yjWfoV!6?@T!Fo)XF_KjIm4QP-gOWnSye8a!Q&M<~4pbyw$V z3V#a<=k8o8&82w4b!^$_s>&6=!Z*+(q6ZcxbBopYuH*@o!lN1&MK4HZ20mWAdE zncTJ}%EDg}o1I>)NjqNn?p}>_-LTI1WrgQ^KPXCy<5HgF$@#+e!=0S(i>!Cf zAM;oAWiYZ{Y7wCvC*=bUcDvqhTjB6&tBJ=e?7HA?muRUqesxHDS?4@Hy&g}2$TpPq zcQeBVCzdXD;5}RPnAEw2tHqRZbe>LBB3G6lW$1u?xO<&%*X(XQ^`8=BJ*q14wKw%9eV?NcON)-Q^4)w5|GsuwidhR> z=Y71>X1hRIV$tMlE8U=y$!KmMW8IUMelO>HtM_bo{T&qnZ@-}vM|yFw*iv8JizI~HU)(sEMfY6|nCzH+ zm0H8?KJZA%&*Wy7&QMnKDRZd*;l?j}_rqAY6%cIvue9f~&3CF}!zd6914kFnD|n2$-JUcwL>ZZL=SA;32*~Qxkhjk7X?JmIs8ti4|?I+1l_t zK*_g!|DnSAar3d}{h3uzxL<7-nDxDmYxtJ`$UWiyD#odBQBr%hDQ;t_j8BkICgG;N zijg*PSHDm)9s|%ie3g!jyc{K<-7WwgrK_-y-9F)=AYU&>hQP-N@bF-*km)C2q5# z`%oZ?n@urlg#)CK*~Vveeri7aAg@*?@@&xA;pizW2U?fPW`-x@P!zo|s%AQ7vRmH} zQ{C0(dpDZc^7PVlWSxF#&Z1yX|GNU=@^+4asX3P(%(p0Pv*_MuRnl=L*1p;MorM_7 zsRqWo4*nh)nBQ-NaiC@{Ta(%Mjt`qK)oy)mSUXfe z`8M{*{9({y&|jVy{If*ipIrJN+ zv1xoGf=>XzVRU$xgHf9!p8Y5U`XJvbCBAg0D&4y^xc`tQLk_kG}3WO&A zw&egZte31=zO`95-qI?sz_i&FwIYY&WcZ&v%G|4PePQp4$%6kE4ZWjBa0qiJyPARb zLSP)STjOQzOdki1{koWBm0s|#b^LuD6D4MmFvWBFuI z0&v;7-~l?l%I&?~yb{0|6c27N9uMe#VPZvS-1m`ERw@tP%D=M$fO5hgA;=;8c)I3o zn+JHW8xOwNWa@0xwy)CTmmFpFIN-%<;9suwSK{Ue4Wa$7ynQyGXDW@py}iYw+{c;R z+rSU{YywsyvYjVI(iAULSIKetsnX>}T|wxiPDQ^{S}1EM;x%F+3b18{TF zvW96kxd}KstKoDtRsW{p1o00xK!dY4?i2k!_9vF~;c!G|>DWut_2?yV8-Pje5BaW` zOW5vijc**bGNz!n2Vxq6&9kFr^}ysrsXFpfkQxc zD7gQ|8zRn>kiOFlU#^tSc6U=HYdNoH#6Z^sK%dRP%xv7r!zSQ8b|RQ{P2?1kw$8M2 z&E(btXXl0r`sr6fbT0=*OYN^}OUsP%sDk3eaiGsy0%_=hWxEJQ>=foW$wlGZ2e&r-UA1;&6C`80cxI=lW<$%3OLcCqRHD^{=MW z`GbZ^gQBZAIXlZc2E*9)_3!+w;-vLBwmRQ*w99%e7#rpO^kbr=5)gFwj29ih1P*yF zul>5nBGJ8T#xJdC+^h<0Dt7|-$K}k+J0~-1Zx}Bg&B0+6Q4>NGqFx>@?F9WA>rFe`|nt!oj)+LUb|&nCCTV*Z*;ewBKtp- z)~m2hwi2{|8;Tl=epScgSWdzM0kTOwD9kQB!t|r7R@BAvQ0aUR7w>*h7>C;&rvM2L z;+V-ieX0mBG9qvNCTrtrn+ER%AX%ws?+rMusBb8>veg&rsYiRkajZ0y-{`~QqnDnjge$o|ehzL?B}Rpc6sFmjIyDEKeg3)I@P)dMm^pjMD<9|+M@CTG z;sulQ3HN;|IiL7v6bJ&A^;T#|EA-$lPlD_;4wxyN<5E(?lv$U&1ZM5%H`GnJTo2zO z3mv4CmR3|$2GiddlW%-uC#|Pg;9|U*b+30bWsd5wBswcu28_ zAH^r_>S*<<;UM;&NdgzDx?MaNun~V+19LOz&+7>NV9heDmEC_c_eJ=<_nr$?>j*Dc zJN5vv;9#=gUF_J5b?ScVhvg?k@Uq&hMbNZ|uC;!?8A_h&*29p{)`^mlNGc7DPJGU{ zq?CQ@2x>$jKGr}AW2L)WM_ByVkO3OPsRcrnSmk#=$PlD&Fyf6snK;buj%O3lo7YBo4S)Ghe7<-5WP| z9T*Q~3WOAbN~c9vX;(yN7vD+%uFSvfx9d&eKwL#ZIE6f0Ce%1&*i6RXEz)qat|nQ~k$;4`Xl?m|;Am@wq2yq%Ued`K$H6Wc*2 zlKdymZvb&V28iaR#`1T!n9Qk7JWGO(qN~f?(5UC^PoHiY^}t8Itam}k|KiSn8@((k z;)2>J!FkL*ME`%f$jS>kRO?mw;Pmho;9^|AWSAm-5cr2W;J2s#oPUDy)iNM?AB(}P5d)`m z<%9NFT;=v`b2Fl$Ogtn3I&y!%! z`MPH0C50-mQE#;nz$3q1A10{5(b#pu`)209qPd=>l4I(I?m_;JpPz&Noe3J<_Q0M-SjI}->d{uiPDhU(6w z+ppBUU(q+JLns8yGwvBLU3N_f*BJ)pTEsuplF`1;I44yElbA!qPGTp3m8lRu0MC(? zMJlPXsb-%OCh#7=@pd;C0ZLEKNvxdMaG&&=m^t3I4qJ7`L0WtVaGDPAMg(*_m}C>U z0lsply737Am+)b*Gl@y{@cAK$90Z1RHN=0a;~YeJp@o^9$^Y^d|USfQAlLObZYtTJRknGrBhtJkgWGNC9@JNhwtd zM>JrMhd&3Cjzdz8^ns$Nx9wJJbMi|%go&wpXJ8tZdw&A6X$$n=MQG2Lnj(s&Qa3mJ z)>)}d1)KGq9qF_mp+HB(ZbP}SbRr?wop46?E9K%sG3lbTR5tnkRWVb+IO4>8;VrL% zY%R!RSL2(9f~5c!VpKUpI{Ft2*4FQUnT6@|v8lZyB zXFp4huAG}=G`BjE&vk8|NNm4zKS zwO+qSDXubaFsL6L)1I z_ukzUYU&&opcG^*?g1L?3Dh@veTh&dkXN7czw#|CDl*|OHCzLok=?`EiOG_nJEPr@ zS%0T9Jll+c{I2oG-@@?VMgKgyIy3_EBfuh%)thzWAdkoa+N8A>-1V9a*;lmUwL&8h%GG~-OSwzBKB-scRw$mqp+7W_EfO9 z8^6ah*w7>~v8p~FwB~s1&xfa7tS^AKuqJimb#!7!==U)a$3NV!89z2;5qR2Z0@Z|`Y zqQP}WL~}{+IYl+KkVUG@y4M6hQR1Y6XH=F@hPIGTfwWf<{gTz5wQQw-xQuBgX3J_f zfY=9Xyx8E~ecYhGF|3UPq%(d+lJ{+zDsSAfpO_S#bcojR_-qAc)&>%hr1XdmsJ!>s ztGW}0{oO@)V07q`CK0kzQp1v1#PUT?8tUe2{7*}I?_eMqJNln-{$6_}A>YMWk3RAF zKAt0|1MnSC*kmSP(m|bzG!Va5eLauqs6vC*t|zMaz+oKU1z1AG0KT({gJz4MLPDVJ zOmT++2xs<7WzqBs+DaMst)~=p*{2O5TN{LOdye zjDqLCNxpZ`PL@&bo)wOB@Kq26cT*#}D1zeZWO0#t6culPM7OuAZySxq-sfj5v%6cL zhso%3URs50SE`L^m0rGYfQrQfau)#R>kS7Eilci|_=|-jirw!V7L`vsE(yK)rs(ca>(T5wn+uvHn2$7qYsiHKp?^Aj^WN zsP#V%6RPv4v)f3xo*gA6tg!9EI74>mtDWz>Dx11|M>O5Q{TLb%aWT^f^kB~I1=`&i zAAY3HbnV5R(YxHJ!p+vnk=b)Sssl*5hnM@s9D~b5$I36}Kcrm9D>X^Zf_&PF?G;cQ zWxk<8_)hzRCKGCz$=ztYsBzJ!+d1;`K-DU)Pq%459sO&G@#-s}{d8f345boSlSiZ}N20~$DVe_&HkS$Gy%r`eBXiXva%V3tr; zd4-}Zt;V@nSJs)Ai{uK3b-0Osqt);osg(ONuF5dkb0Ne0)R{`C*)d^R^E?QgM(pXY@rK z)ABn#@LsRqizgztb!MhoJiyG^YNv&5yfDQXuS+e8$viFfdXY8|3xVU$(lZUwuM!0i z4=+9>%}_~A+hQCw8v~HAgJDBa?p}nj5q=N}TjZe976XDH2YOaBZ9Q+D<69q#^g)+l z3+`z7mj^Sss@V~Rt1ki;2$=>zKCFhD-vPOO9UrYl8W;z6$LyL={v46%YWxN;J=na4 z4PnH7zk?)M<(vLKfp;?qtX>XG$}R}rVJ|MI=@!@v^LCi|3N2yY`;#q&GUG)ID$xP1 zA{>6+X#$>Ce8B^2{(Ixc9$_eA(km7PC2pj@(HkEXu`VMU=HvQ~s99Zd(ihE>7 zfI8GQ{jyK^fUvndc)C*6^PUp~u%2#Rs(Y3-<1?VB25u;2;@f|Kra1D z$IEVUcMlHHY)+)iMvcaKX0MQ7G-Omh}0De@bM$(I3#;J3#%&e;GW~L27TWDfq4z zJ@Qj43h+*@kySyFzJ%r49J{t$2mycOKS}QYz2`1>83ST{`!4u`du`4QpU%NmW%V$V znccSCcK|XhLJNqb%&U9X!a64oDB$`(TonJO3?E3nVKssX4F>9ge=WdzET<}43^xw^ Fe*k^v!z};+ literal 0 HcmV?d00001 diff --git a/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202021.png b/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202021.png new file mode 100644 index 0000000000000000000000000000000000000000..3e539d555cf8f69d5370d519855fb17f5d3fe4ef GIT binary patch literal 86817 zcmce7WmH^U(PnMgz)h8(9?$bK4THYT+$))4OUp{Jn!SriD%UN;l` z+c5*o|DK&7N<4ScoIQwTM#%g>8&i|vasTWjkQ1)k%7gq1IY{|KIk&~X2Vi}p2mI$W zIE^Cibdv7|DceTeYJd9uf4${*y9<*u8!) zfR__Od(M9S&ahZTv3>NLUeaXJtW!f-)`jxy4$`cbQfTm?2+I9?g^Hn^(#m9|4hqza8S6i?{sh(=V$CfWhc%DjwkC; z(K`+J*X#(7=AX88EK_r`#G{3Ryo4O=dQrK2pSekM8+Wr_ro>)w;k~m5>_B319j&TC z_3J^ki@}}1?3Tse9ilGl$TM-`xeRpQaS`v_2v!Zwv3>*>OO{Bg6KYNZSCphyQQ4n- zRe!dAW98HKpTBb}eIKcU4s9bxg3Jd}zfN!GT&jHMG$)tD=RHwwMh(5v`aV*^=GsN; zfY@2T{QIUi(be&{*5AqL_f%6TIN=GLN`gK_a?L#UD==!HbDZWh%(! zqNI!^`w{kSC{~B4Ir`*cP(E-rm6crJ!Glet#csj z+_vd}M7^lYg{7cjk5vESckrEU-XlI8 z*qQTEl1JYlAq8woXOz4bm*7jnj(oF~hDo7Y_w^c=bp6{k;biYUL$?H#Gcx|Aa9!{| zj^tmTeJ+RiUh!va>fPGdh#%^b0TS<}`9yEu3dgNjNFMchCmx_|i~Z*k7se^5DpSlm zHkYP$#Jpem#Jwho&Q%t^9MaZu$>H6#T-;fjduR0cnrFQlcI@<>^?^uR#u-dal*&zy zI7FX0TkfO?RdRo1G#UFCh!d|?K6|v0b|x%SqTW97*|5wiRgX-V7QRZVq#@+%<`!b>R{n}+l5W((tM=Tb2P}39i0!MroAs{9tK|&qXYy9{ ze`4)iVMWgS>yfXw+U;AQ5+{_+1Qd4NAZZlF5ip#bNt2c;R!Fl_4pYhre)PR6+1jGE zMyQXP*wg1{ouZAutuXXi2EYyuP@}N*Y=%_ma+095= zHJE~|u>GR(ozMo))e!IHFf8qU#0MgLmhZ!GDf|q-f)wc{x zcCdmhFMGhzM#Z$ipaOfA-xpur=2zJb&ZJdgf))p%x>KQEMB(F;{4w>uCHr4Y>}!2D zwr^o3YEAx_Pa_@^Pg{HvXgnt@{&K294;UdZ%<`}s!g*Rc4KJFJsM zf&*Z}{+x)aYc_X!6f0UITA}wsOs6`MLu&eDgHg+DsMeALR$)-*u2xcfA#szIAQh0o z^aoPL64++UWa#e_o6^a#E^ZHV#})pNo#wRBCfSZmWKyLK{}z#kv&z#m5shT)D`afY4YjwOfx`CbZ7vAzm=i zJFO|6ZUs#xb1CZSr-ND8A@TsJa`k3coA(;anwEuIMr2S*=yQjBXprX$4=*#5V z5=#TyQE}a(T_F)6X{{@#bc|tQE;r*deKgKenXJMC{wqEJ?_ zPce8V`)W6{OWh%jT8DP%fyF4O2sNUob5AOc=l!eVkbTKIa;<>-!D%75b~O%QG&sVt z1nhbq6~3!_2W$)&O9*>xf!n_kV&QdKoRht&j>e!xrM8)|jW?)BVo@8SNwlg$58?<+ zFR|)cyW2cpHkT|sa{Dm+G35#RJ@tw&jcUjNtPc8UJnxDC{93EUR%7lqhW~+w-};-0 z-)(O!!bjeo1MVa}Up%9<+sN;d8g!2PCjJd1^A8Ee*QmTIuIu7Y6B18~qP!~9i3WbG z;KO7Z8!q8Q015#%H?zb&GdxF9DcaIZ<&2P)#><#2B%$YVaZ<(^aoggBaS z@(wi>y^H(ZO3PYfD=;(^^#}Mf`N3pwr$R8u?!Q;7@&R|jG zyr!Y*K}maQ=0-u4!oR-24ToJwisi!J8J1!FLBDX+*v#Qyh>%jc8B7llEYk|d{9+>< zU;iIuuy@qF7>^@BITOu=7n&eaC71-7k2 z$0Ep>JX4)2iXz$OHFf_!iSgwrc3~Wvr7NGhhlU_wPP=6f3kqKTdrja#l7atZb_Bu8 zXi=9tPfuXSle6Dk02@kfWdEAq+bM8pXCdUN6xyh^(g!rkN7%3WdiSKIQrA)BE63(x znR9u>>$!oIu4i@djIS%t%3r0hZr<&CnB_7r{6_!c9sCM-H@p1)=osguon)nzs!e|L zT--bv^|~UzD3Lz5{`A}1c^kS){xL)4-?&h7?-D*ekMaBt-g(;Z@)!<_ddmx{(YVX) zKnA$<<^K3RN^MZg^J=9I``qriPB0`gsW`nVymfpw6HI|P6;j+hY5|c)W^ZR+Vr{4U zZ1^-nc`HfqQRejhl*lfC&^Dmh|ug(_$HV%#gE46Y5o~(MI^A08xeqBf~%GW zh2kpBf`a_I_zc{Bp+o8YcI@`brI}X7)m*A!V5+xNgfA6j%wvjoKF_3b2RqIBC?P8Q z8zxO7VpKO6pNf>vydueNEyg3R-(<*b@XGRUOp$I?-zil!l+WTRhQYOiu*LSdP z1tHIOpYKfS{lf`rf8SiSu~FqTmYrqiO~R*nrZ!xoR~%B?`SiQZKx9k}30scMhG|ZAWD06!+1phedrY+EWL=be8 z0OdHFts^%!g3PA>qAZ{61etammcHU0!%tY^OIL#`#>RbzaS=;vNm`F*&KiqPsXd*C zUI>lWUG9}@UpGfWoQFkz70~KJ9AWb`qX1OJ$fR^Ff;?)5zIRG+bex_Hj_7 z<*MYz)!2t=SI!YVew5@Z_CEbWB*)U|LkZkn4tJtJ?Y787+J7B2gRqFZuko0Qnct~% z3T7&;^Rm-%qb;t(vlEvmwDvszapl)+7E11SQODMxvw`UcLr~5y6xZQ!2MWHUtG-Db z69igqS5uv$S`X-VO^qn*K|wZc^GRA9GY-Y`FwUibcEBfEK-?Yiy{{cT;$30b6W0xw zN#Q<26RGCj+~K(Z_wo)i=&kaJ=k!j7hEnVkWpuylmSSBW=eh$?r)5{$vap>(2)+iZ zRB>aB^&&k}uB@p$2P8^560b=1S#;>QhOcEPg#WorX{fsupW-BDRIgK+>%IX0ddod6 z!$$8h&4qxWrf5Ku0FLd83C-u)IB0(^=*JK=y6SP}V(u`9xIQFOof%uTz$-3sE1k!7 zO{N>oEIR2UXPDUmsoQQcWZmm!R?WN5q^Y$S9<4Ul$^ehipB2Mw zMfN58_Xw(kRW5ygq`Y-g*6#a=1!Er4Tt_wD7i#*?=hg)uqR=gAgphtWpwLPW(*j;b z*@u4u)+3=SR3kxvD?duoo~R%ozBzh2;Gy9nt&}lWHm7a> zpA?3gxco21a)k5Z>pQfL?2d_^d-;g2?~bQ$*VFg1^9zf_v6;(uNifzc5wGrRA|+)Q zYwvx1)MH7+Sxoe8LjVaa4&r0gFgClZC&EvdYZnGL(%xCK;LSL?ksF*g8zmf5yi+dy z*S##yg&&Q}!e+z9!pQ0KZ~DSK7RULI3leq=@fX$z=RXmx#sk1!lWbB$O70b~v1}Bi z28FjPz#L=H#0t9nMDZ>NM*sDw=Z&T3Ai#++QBHidgko2}G5Dw@NW2*BE(qDPG^Dyj z$Cw6SEI?6sbS%6|l4{sA|J7LsHnGj9*Q~=(Y$F?!O}==tn3wm`e5jBHag)^SyAc`d zp0)|TiPDe^U?=#;o`LxKKS4nWG96Nmj*>J0f3eF{C2VTVmD-<&dT=F54v2po+*;#- z582!Rda4wxfiME{$n9$xxUpr1FXPw=iUpGYzK{73+!Oa%)IP^1dnHcKB78a#rv!H; zn67`8mU6q@vRZP5Hm0{XN#jsk2j2uK@!yp;7y^r=*suyGYpIs-6DanGNNkA58Vw}m z>DRf{R>iVyn%;ZhF0pC-R*6^KtQx4mZw$(r5iu-?pv~_?zZ|0|k`px#Eo`-Ts^h}CH;RvZETPnr6j{P{tIpM)q z087hYsucBV`hBB~=&}i*2X8Kr)x>MUe*2yl8c{h3ZPNR@NwwPy_cx)BJAtb{>eBBq zW}nr+**Ex{T;@H*Bi83IZl+&HOBkhg}itk&>Bl-j3$;rSI@M3;HSD&g5k%*O1wJ>By@~xtt$lgcw$|WQt5)OSEr= z8`YL1YLQ1=s0V9O)oGVe-KP-f!~x@Od3}Q{d?=Jqc3#gSeEtJEmtnWP6-(63Bx5d5 zp;95EcesHX&R8YrL9BmzJq*+wM|3W8yBj4j$ZKa~RCKV?dDNUdb|}o45F2K~^=tn# zr64ZY%3v>mG@V`JGF@`45l&lLRo9EDFdlp~*S-574gpk*wLe{wkeNp2oqya5_NIT7 ze;t`_us%o##7 zqCOC;sKKJ%n{FO0?%e%0s9H!WFf*@tfzB{9=W+RL$tEkAY;NstPWotGKA*$bwe)y%jqFOtWHn0a_2}{E$MCMi#F+N(915nzfbIdDbtOiQ37(9w z-`&?5=+p+w;ZiI-XI*rJMS>0+6|)8_A1}j;PC1Y4(7c*TIcO;XX%~0dcHtFVO9$4? z2P7>;iN^=8ti6YYf-TXqcm+{RHppICjQUI)kFCx#t}O_L-1OvubU7Ru0F@vq0y-S>cc&uvXF&)8KvlySv>Fg^-6@Wl`kg zPLCca8hu{4Splv3fs2C943OuD^GByLHaYYcX3WTS_oCGt_sS876I9$%w(9KNj~wm0^u* zGT)pN%Kuc7`!FM6mK(fB|N5B7W2<6L1mrQFZh91xTdytK0_i2xHArSY8TfuT0JfS> zx%o`=3dP&^OA>N@|4Gf+=4vF{alN@J$K>Q*BsCrvK26J;`kdn3@DC&vnjAPhjX_G? z21%E|y*0z{*GJEtf~uvq$*A`GlGf}d1*#M@;vHPX!G%b`^?=%Q8L*(Js${3Z%d<1A zUdzwD$6QX2Rz@;#>4hNLgL4il*3_O}zn78T+d=ozVNR{0uz)mb0yRA|RiXtEPjoBZ zt9$q+GO}qBp(<5j8mZbRF4_RDYKCzgj+axaQLDHH!S?{~o|RuvyaJ9Kbud%aJ4 zJX!Z}%IsRt+R&*{HY6=X{^HgSB7Uaqnnc#*z%8uZ5zOYn9!9Y_#k`Zz9WE1&Z01fT z0i-7Md3UJPkLVFzhTHAZppAG+%8vP zU3K1{IswhFGIv>Xfi0j9tW1u!%Y=NC;^(0^Rqa7w`2O``8`{yb=x6R+*oiOKjYCC& zL##4oM2-AIMZo-%7GsJJryu#*)O&PAyg7w`@X18OgN3}D6kAq%Xv7dHXZBgup9qRN zKjfx;ln4n+8Gp1J0=wjU`BZBMVt^D{!gOgO{^IY8*pgj9dqR23Ok=R*RN9@FqV1Aq z;`#^2Cm%>T^M+c!-YDzAbO>Y&mTH<5o!hgE`99F-!T3toXcKdpJUNc&aL!@sD0IX( z6hONaLi>X5&Dz-q{HDLK(}aDOkkn>b<6`h8e@e0zQJuC`SH+-V6XT)xdUDilF*1Zj zsHU;K2dT{~#X7~>SPC(TD%mRu#yv7}COR&Onlve!UU6v$Bw7E|-J7k(>m)gwnRrZp z6N;;zlJVsB%_(}lYEv6<3|%4}axNK3tN{1BUp`2nY_4HD0Ft!=>5LA1aN~zx7~hS~ zZ~h_8zF}$aoE}b|q=K6her=^&+RA6XZT0se?F-|u1+dM+{aJR7!zHoeE(pXkjBRt= z`1Y<1%L?nZy^K-B`69f1)-LNaJZiR!rM8BGP&A_;RyN=KQNdbjZh~k>hqd=?Urd%1 zKB|lJ)N}?HWxU)f&hD#OHcU^TbI-M&DhRpSiEP<%!SD zkJc44w0EXRb~Vf*5Tni9##c~R62!oae(Hqp75}AfE(WuyggSbP(?Tl$W!ZYtdBM~; zdDOc@(^fd=r_wq#s7~S2Bv_tzWXXK3ag!JpPb`7Y*{gJZtFoqwkxlT+qlVZE6WO|q zZRf+Bkgt8}lbJ(ffL+Xpr|uuSMt&gu+#FbpWAZ(|cQ>sNA^C=Us^HfqqQo^i)&^R6D_qFJ&tZuwiC zO%qG0O?iUQDc?~&Z{jSZq#TTu;hUYtq2Io%6nsWcZ+zs)Op#c4ZVih1Xo*f-rwgeA zGz79J4J9ijYw2Bjn!pT+ zFz^Vw;~z3|#4F&X%TMT(W+`pOMdIWrG*kYyPVbrWk0SzS9#f{l;&?=_5>`9ngpiX$SpCh%@ab5SFrC6RuJ)H*dk~-PH#CU`>>jM6h~fLX zOROh`a$V#l3h^Z(<}z*!c53*GXc&}R!b@EJdYgEw`e%!E#md>{GTp*8<${T4%n>R) z@2u&lcXd+2ptDlJyBY^~PW)`<2H_~#2pJxn+ez)5 zj&th5KweDc*xH6jyfUzG*9(!MARz4hSgQV@)e&%T*sZ>4@n$Q9$u8ZuI~};ZM(_l7q^b_3|f@r&X^NS zb}`=pQ6a^2LF+-+zy}!wYH3y5`q3GCvbTiix}L_-w!c={xfMWWC0~#3yqR3dcKBnI z0m9rDXw79)n;P&eI}eW>kMsdlZRo<58p#&?>htP&8R0(ca_`m>xN}Fj(ug}6S-~kP zf2vwMPf$opV30ZCwK*#t$N9ZyI@k0tk5)3Z(6#KIa}kl2r!?TORXgLc+ZcibwvQbe zIl`y?YRJ(4D6AbPl(<4|t-E*-64A0`28k18A6_tCf@$s5a=A^$J9oT{1P!OW2f0Ge zJU#SlYd#zAQtmkTDqm3-G&IG^*S3YA|AMn(dsI_(UJV|ysL z457_|I;(r+oyiU>vE4rvIvV;0@kvi@sF#PpX1JrHXddHy7tveP0XfRj3^ZD9Fj4Ru z#y|a{y(2rATK0(bT2+FZ4STd{bG0kF1!dbh#nL)#d)oGM>QAeuxh@?dS$NU*=1)Mq zA8+z^YUN8<=Cv*w_Nhe=@)Wl_1^@)^cZ8G0l>W$dynL*9L<>c0qr5g$!b3_sfl|np zD+XUw3(<|9zo0nWl_I}M!g5f)9_7}nhScv! zk8=A#x*47te9nC2=~8mmF$&0QAmzwu7G?DqQQ__W_=(%PcQFT(iPn+Aq>cKK&djT1 zU8QpRPm3BXqj?P!m8sD+XJ431$vCG_HKu0Jdu(6NvG}%k`Jkydn-JiSV@zX)c6Y*LYEdPFOxP*E?M-jqs+L#JijtOu=%DP zEOQ@%<-H0 zJ1J%ybe)L54}d?Lc;Rjm(gFzH^Tm*-{~}+o$ZOg?k)S#s6$cyH$8Z(%JFQ#!SmKb( zO`3CS+CL`z5|ia6AN)j`RRbw0s6|7*QYa_F#S^x3@WaPhVbU0>D`?V3&7erIcWif~+T9u(IRFuH~X`?c#2akDt@m zIS3H{kIIq%h)g=ZK;SJsO}yL;=hA_#n&LPDMb@MjBqRN+J4rbofz7?MVHZ0g51*!{ zwwX8g`D~lD<%IO6VMj?F1X!=b$a}x?_~W4+-fUT8OONn{(82Khsdi)`#o)dz!eFwC zREF(oM)(e#lR7@JZjmJoeK5zk;3?4LDyO~-xPAj*g`RmpY9v@Dj|2Ra()Yk;=YAt_ zwRQs5aXIXhm{9n6{^Yad%GbWIoMql-3GpW_a_JiwnkhF`@k4qumvH^Yu*Y_)wnXR_ zh9*PO-hJn!RvFNy7ee9`exSzTGjPkKDoz@Ak!FGiyM_ zoGz)OJ6f9bI$-ASCQRj3nOoB;e7p9yk-@Nfc^9n#-Tsa=K&1@*%0$p z`tFs3zAxj-OBw!G+vEy)N0J6+#cn8|zTwTmLB!XPw@u%!=|Xwrm#4ILH0nj!QzceqL{l-!d9ZNIu^(-p55$R+33oI_#zbz3YY)kLB#lB_k z!q#ne+UrYb93g{T@yDp~NN!kh8Z*5u1{~cG6I9$Pjs({;@%x`HSM(D7`=?Bs)d>R; zvq@AVtJa5x*z*^*eo(&c>b=6fy{^AK{qB5ud71HjJ6nI@+kGV% zz1xTIsv!L-|CcHlFrsg6cB3QJhlS-TL|{zMS44u@G*>mTrgEy-8mdoyhc3tdI8ZUr zDL6wjuvsa)irCacQYr!MHr;LW!WS$4^~YJS`WfuWWkT-D?YV`FM|U@=1z6{t`{?BUsl% zrlgn&Y@xn;K9AJm@TwpS@7w(kFSy^SF>jHFm^sJG`>`@O&{xff??af5c6nRyjc&K@ zvbFV`*)tyxtY;>?;@2w3w$*Sfj~SgB2&;O|Yn}ti#}{RAZ)RC=*FTq(-jww^+&u6( zgVgr7^`D1+JUN6;3xyomCKVBzf4=> zd375w-5GNaK>9_N)rYi8i$lN6g8^ueB+rDJ(8a0D`57#xOI$Z7r5}fS@Z+W250 zUW$*CqK^H6{iI?NXN#Jlc6c+faw8@Oc3>_owX-wjx=<{Z7T;DltDVgocCi?~XiMbFyzS0e%{M z_c~f0jxoLiraqJV_TEZ$!yArRm z5v-8?^{&Np_^Yy)Z`=GYtXN7cYKv;MN=ycC(u##K;`N7Hg~x1!j$aZItI+~U;`nQC zgMUe>6(IA)ugGzPmvz=V;v>P=mtq zr}##YWBCH74@|=gf&QOIpFrL4veY*)PKIB;LwpPa+9AG>Xq^HYh$pq`7|b;wjuty>Al?gO6;=tL?F}rqrc#aQ40>RZm$4$6sH{-D zx=IR+nksA=3a(lEW@}h2Pu>Ps`tr z#3LQ0l6Yi(^xwB6dmB?CE)QzvF2p;Tne^iLeZNgJeJ-E-pxAT?QGQH@;1sDvnX@K$ z)GMx2Y>ELFRO4P_Yo=z z6v0RqDOGTA7j9|y4Nwu^;4j>zzk%o=W3;=p(r=Lqj5IMtd5lLyFAx1PLQ)<2y z26kk5IVh6T4+f>R)eh750?t-#vun4z-i~^69y|Y%dGuC1;nRG4kF6~WrSpgh?eaw^ zgL63yH61dA>oc9mkescdI6T%%074fYq)*Ul(a6+n&8&ac=qgu^;fS2QfuIXWv9d&j zN`G5a1%^kvcxbJ^jV)rj4t>9|*(82X_rzH5ci_|Hi)HtsZBEVaZjz`yPkV^0#pU~Q z)yBAF5rWyDIFhnIvISm=hEqxH2inie!(%=$m}LHi0nx?F~3W% zphtYGunK6f{qu;;gO5zPV?-JdSBl{{%?#Z#&hG{fEj~haS3`?un$%|1>yCXlizmoh z8^5yvK{dR|hAvE48xx0*R_M147mj3q%!-V|7zN-o^DGF1y(U#lE(EXiVxpD%oF+13 zqm>_vr58W;^*7a}V}gY>6WXqZ0)5yB>wejr(C;nxDS!}f39Co1=b}W&jOq9_7`!uS zm6?oQrKpLyi?=BsRu?_d*Pif|4UK$#&2q6GM0RNbJH1q+=rsyR_`T0WVtR1VIw)_S zlRwdl??{M+Pm>Za7%ysOaaUL0)95>tzHkqR9D?Y9N7*1S#vK>ZfCB+!XnR~ZqSDhk zgg#hpu|siQWX%XWJrn5h-=p^U{?4gSO2Pla+1W37Fu_X5#ylM4cY_a^NSYDy%=?X#Y4^E#<9e$NAPSK_KH6)!Qnpg_*n6BctlswbCCB7Yd&KUFnm-{? zRCGuQ|4hPO%IK3RYLdRwfrG@}Ku73>EOp+$dE7&U3|7;X8t!WdhB#^7u`Fo^@`@R! zI8Zq)ln;{nob>@P`;($3bt*5XfqnTzuClt2p8yo+`>}UN&+p zY%~&+W*ZB>I7_O!<>wxulcnaMFDg^iYuGq(ooq47sW!;IF^KH;!KBO$+b=;seqI-|rwEWd(R^-^EE3^KP%xyj3j?H^S2UWy^B46vZkj@_05Fr|n zRPiuRRmqV;{tO!)r?2=-h4ZfOn>P?|S(KEYiFu{ro{WtCJr5!CwN*-wUL~@OHvF6_ ze0e=miR+R1N;(ifGIL(hmsfH!JE}p*CZUx^IZqGb!$98W-{o4!{8M^QMNlv zlP0t$T$zl9NolMBzI%&1nPr|AFSLKxK8>#E*Djrr{rHu43lZGE0s(Cwg1)eZFKoCe zV8rJr-jzG$jW+bV814pbr{%4XfVCs(pyw2-%2aZP`)3fIG7ZTs%PWHyzPZ(B{-Jaj z@Filo!_b^?3;4LtpwR9cZ}M<~zNB*6!kkn=PNHA~8<~toH)HL$oeMavwD}xvM#X=` zUwPnZ8bGeuD2hUH5P97^HdR?1y>ga+wePU?qG$0u#N|2}vOuXiJ~rE2%idr-fp0XEMc)M^wmJ1n}@ ze)7LvJg+E*4<6^k(~YZlxGfI&iIC*Zp$+`+ zd$Z#jMc!7L%%~n0{i;2xB}t2NZwZ;KeP0#;BM3P8o)q$^N$BmcrhCJpUy#bW)EPJ# zZic{#@;xJFH2iIqH|5ez<9)Q|s3Bq)#Z9d|iI52msQrrZ=6bH?mt)foKLbz8{?osG z2XTKBR17isSrd_JJGPgQ*vJgdO3GO|l7AJ0qb88l)s!`i8(=ZQ;ESUYj=~2McM8j(7!eR`pbVm zyR|D?X5F~Ra>C+tCr+g(yi)GxUkpF+evJ_MfCpi}_XegrackqC%AfKLeMD$SUhzJ; z8T96PtbsR3!)SUSu+|fmBD}Dbf?COoH*6WL{raI6Ti#cEVG?O7gTCs#xzGcd2s|vv=K` zRaHiGLRH2X%M1PPaxGcgvSoO@vJ<3u+HRB6Y}@NTDL!4+yO{Cj>$*7oXNTG%sYvdZv-g^6RPp}Q5_FW5W8NJNMwCEPEGQS67lH119PAYbQ`wUDjDhpTMM;g;@G zaCGTQR+t!qK{QXaiO#u``-*lPw!bsKsTEU(NqHTA1$u$1Dmu$~G4++h9j8w4EQhvg zhs`zC<8ES*7blD^?sK>mYu^4wz7+&501+o5OnA;2Q*$XB84XSz!ClABFBbN7AZD&f ztSzbGR9drodG!zTnjYrlaBGX;Fv+@JI|pu5A-l$7#b4u@ggvM0d77U&skb#E$vCo$ z45Ped4*ZB)F8OeNk_03>*Q0G_g`>bR`ICr>g+|HW?)j1z#NLb`vl_xih4o@q}pl^8_QIH|Kb>K1)NwIZMJ$Z0w^nOmhAUi)>w9qrt}-M9OWxSY{L)(dH$T zA%#j)3STQdshW)~1_j;%qwDD4q#fQ^y(|HwHLfv~?U#ohAv0m(4s7Xk8YpuH=o9oV zhnLT~h83UgjFjxjyT{8}Cd&%o`e{-`sO0c5@@N3Csg7G9nit>0*lq_iGqGJoX$?$g zIg4nb*i#E}1No}jjRqtjG{G#bJlDm8!HsAgdD!CeVfM9-Z;araPP zM=PvGO}3VrX2X1Sbj0t=*Heo|=YWGt*!jI(M^}aXyo{ z7QwxBiP$hwKTzAqSpVBlGG;_HnSdwXpdn_oEFO_OR9bX;wUY%dFMOXS!RUmpRdqJA z7ba-b&+CWagALVxKZu)>N722y;w}cU zw{9~312U<(XX2mYclLtfz+ANbu8>xObBW}^>H`TXw>%${dCW*OhK49hf#a^l!@Y*t zlX0>~YreU_7ylmN&{Op}A2gZw#}%rEgZ{nyYNR}N^G7T+ud{DJ*v!?&z&)9gbCleG z_tJIoFH~i|X^n2f6i%AvgZMKnJ4VOUztyBYIdvJw^#TLsT{cBg4KJvB(0A z9=~-P0(+EC;AqA05v5epAlf?g&hc`ATS8Ju$hWYNoTRm6l}m_+%jU2=kYol}Ps+p~ zT6|u11e9$3-YL89xPBWsy0e0R^>HlzR9^`1B1;8n$)SVq9E(G}e7Y#^&3aEw+*1VV`6^x)cbocm=Nzb={hJehc1KW88oy7V5>;1x^_P3Ny@h|Eh zfiVcr`4NwnNxwbaJJPqXy33*RJ!1`Pu>L9oIxPNG1_1RoT~^&m0W|uwbes>&p>u@% zOeQ1}r2pZipEB}7gLsy5nnd?0sANSq`>9*&Z0uGn}-yKu@L z(ioFTC&V{Ogl~beQHuZiM#|Rjt8d|_EDvwgA#!+~a|Sm1d0up1Q?{_)7_>P5IF@yq zWIgaQ3?h_=;2Yg|jpz#YmX9s+5mJr5k%Q^e#x?FFlc|rKPXveg9i>6mG`f5>y)GNE700Pz$wOYj>+H7ss1?2zBKbd3D#0 zYI$Psp1(IY>PHoTl)=ujP1q~82B7-0y$c&`YSlqMi-h`9{Xv^Vo-3EtouC0KJYNb- z)Tgl@6ucqcYAH@9p2a>GJ!Fm)8~#yg_%dfJ%^W5htjZk<$ zJXGzXsSJXFbS*`U{)QZ4J(f^+IE)$3?%VCb>;`P_ecgzys9y_6G+-e0ik?CV8}u9A zA71O29bZ%LZ2qQvJV4aLyV2rz^~Gf?p+0HyXWS*fWR%nPI!CQaK~`I}Ar7BW0Fw_Y zSB_HrKs4IdO>zMbOPO#*qB+4KFMZ^A^V;j%VZW&9`>l-kHubQXUsQI?f3P(+L+xtk zZhdBG$?ob9gtQ8!6rJw!IoBpeY1zY{9Dh$UJtqd`C$<5*MfzwZI3YA$eY~Q`X?B3> z*r8-WU95kPu3y2$d|>9xM=(8@gx2JHr4iUE% zUyQvfd*I+w7#Z$s4BmE^hfBWVmKZD04LRnnw|@oCI($(&!YiNLFJZ_y_cEbN9R`e;VDA(JVJ7CIf;vZEqMci(9h!aQ9z~iNbmSHB5YkpYz z6z$cH8nyJb^%9KcY;FDcG0;k7zGus=L?i!s2m0(NJY6U`&W8_?m zwyks3KFvE>L@ClFOV6Tt#F<;_X`oXM+iO2noX>h1Z`HIAb`$Wo+kcmPn*L&VyLQS>Otz?QU}g$NRHFCTVwC9pn8p^vaF3jPCUw)eEDqwps7m2Otl= zV=3OWya0D8B?wdNsAnoIhnqv!Y!*NzZ=X}m8+e!c<0v>p-=cI1C7{rGMlIsGwB{5E zEX=&SYZJK<*2gfrwtw$u8ex{Q^_|JZfmPn#uobE@g=H9(yE1|Q)JwQR+MZm!|6Mie zH?2eq9N1f!bdI0MW0h^5MG)i6vf+B0I(aV#kyaQ01!mMzR@UQ#%0FlY?D%|Q=tE>P zmN}|D;7!wl&n6l*mC$P#FQ`MU-Rsng`tMGB&8!CI^NE z^WqeTmk-S={6r3?sF87jRge82lVxv#49gXlMIp-gRaY0bpJnmSQOfBb9Cx0A1+l`| zhUaBz6Gz&S6{s)bX#wZfuL2&a^vej}sHa}QfhRi3nlqV{_QdO8fk2d#fw!n zD{)?ZZ2CBb6Rs5TwEhy5yE~wyb%?zCa^&%7%SRMrU$n{OU41|vonyW1MrCTzIimsq zKyw|S#B6Hv>y64-t9#nSJsdMm)P(S5MMQ^DEuUKs!uK~2k$!%m7fmVyEL*4>`k1Uy zJ}n&h zj`~6rKEZVIyBwN$s#6Sr&9Naih-R%AJ%oLdLr>PhCy&Fyx~(gW)@O*}Y`u5XD;5a9 zn(|6@x>;l6cZ#(+_WUJJ+zfc4tz2)RPzzw)_m?4p|M}qm$3kl1d_UoXGdXJ#Gg2e( zZnxZT2c1FrvY(IO$aPjS!W0nCH1o^zDTatFj!{5^+i%3;--rYd8_>S<8rNJ?%V@vb zXwRfv`o|K99ej6I8&6jnJ{;EMNZFYDXrrq<&L5t(uDXK``4Z!KP&rw15s4bv_5?!| zsClh?v+LTOld)sHxcBb1Ri!`HWPePe`wBY}%`_ks(G3ea*~VJuRbODn$T>q4;)iI_ zl{4}`+hm)8zb@72uOs4uz=**T(Bk-7vCZLeZiJ%*qH1taV!Wmu>OxZVr363ye5p|+ zy7pY1?#ZMyJ%g)QLHpm^{X}ZSHcPOmmmbsTI05auE~YTzSICp3jg4U#FK)L^G>LO z#@%CxC>O7iI@|hob(BcPeCb^blB^{DS>tfZCVSHzycj*qaz6)gX#@lFxS^-ViJO+4 zwj!UnRn8m9qh0pwXw;ez@`#GYe&>aP{x{LQZV870jBl+!QhJByq9HYj=AA4%Cqte2 zuP{JyIUht_dqMI&cUl5gEzPp3Vd(;0fc;GUz-Kd4yzop~uFj~3QJ_KmBguWG$GrHy z3H+JnyR&5{VX^U)%s?c0dD(j(FA+o~GLvF{HU2?s0!Pzy_~P4WqM;q9^yca@kI$*;-LXegy$lFT73y&s?G}JWPE7Sw!(%Evcn>RxC z*-m9M7KRVfG-i5N7y z%2Z}hg5f2`Ypc^BDx7-3LH8TzjPG`##B#Jw0~%I_UXMtM3;Js})LJ?(^1?wY6yB9 z>p!pwS2q7_);PU;awy!uU%9|H0T>Mzz(qZ`u`FiWhe%PAKk9@#608RxG%;Xz}9i?oLXv z;_ei8cekMLruY3k|5>x{RC zDMvEb26<`)r-e5qWkqS?<)x; zjG*hHb&5zl4i&Wlws_mre<=hj{ z{NXX^4|F#-qK^C*F%Y_1mREIKq~Jd$w^Ej@)2{>sHMN)&8b>8m1D>BPurJF%+S*88 z{ZKTvK>mnF!fBp$N&Ay%02gka59KiRMqoJ-S60AzY{@$7de>d`+vz;JrW|(X6Tmva z)vjHjGd*~H9kZgaD|n7?vL=5N{wOPe6pQ66JC*1zCHwbhRzm+{-*{#y9MH4AMjme~ z#MC4iUeHr?|5bO;`>UpU8=6wRL}8_BCoh~9KwF2<<8gsrQ}*c0Kxzb9!GK#Lon8Gl z&epz(Ee&+5ML7tIq-^x^ZNZMM)(!?=FnC;$C7$v64)qOZlP}Xx^FecZcmYbAa`zoY zeF?0>I9Qv!PoWrvKl0e2;y9g`9>Y--HzZrNTV^X%3aKJ^u%H{lJmX;EzU|YP5X!E5 z4f%DcqUq&GW1rl>u>|!CXxur{x^Hg#_!X;unbL+a{$|USrkmO=r}1V+5DJZ z_)ukzstr7%nD^DoXi*>Kk!U2K3H?YH%nsEiCv~B>5Ps_4 zqr&&ThJ9bs$^otsv=DT=+l4K+k(Paeh8L1^a&h$nH2ibZYhk32QZK*1Uam9=#-rjh{Vbr{uY`oY+rI7%e^<_vK5$! zBq~j#=f;l{`M~28rC6cT&iiT03*pLHd;_M&unnnZE_~B!?!USZy7XG`|F)~ozk-zu zoArlG3x67E-v96e!~ceqt4kjev86giGc(b%0u7gs=9S za-4Fe8Jwo|%*)d7B?Yj}m}|MxaPMn`y1I*db&}9->09-*)e9xP{#~3CmBDRj3s8Lx)X*CyJl34=%#gVYNv;N zCJd5#PsyH8uF@5Jre1BuB%b;|W|r}KyJAl%l4QOAW;Ys=Gq{NqO=M;$vrA(OVl>|F17xldW|?+hjOipdl}o= zib}=D`QOmQ)*`Yj^ITeHo$p!auM*5%#~Y0G>zBNE>m@`f3Ez4N)m=S{oSMID$N$s_ zL4V^yu7^VM*~~Us!DKzu(w+J`ah&mTEX*WzD=Dc%x}SH`ua|P@?2}52?GrP`?oV{x7jxZXG}j;b2TiK-i~*wptLO3P8oI6H2~(fHV_$!%K!m# zm`iS?sd!o*4zt^QI3R{Bx7lw2nb>AaloLvMn`9_~BTs%#>Avd9Z<7V`uhzu6(gw|Q z_#E+i)GhQ}lu}oN)sItQir1Url{j5LMzaM$&i^s6@c8xQx#_*%n|EBg)F761Te^zD zc1r)iWj46g{wj%b;;TGSd$qc}kokVO_oww>GqM8vJ%KFpoYUN4+Wp)5SZi$xTg0G4 zIjz8KKWYSb3#yU8I2M#VCX5uV*q;|zd10#=Rs04H6ln`gF)XTZPWSeT{n{J+mR`C0 z0f!=ewMh6cQ#$(3cWcZS@&_6c!+P<8*08ZjWq>F|N$YzGV=jaa`vj_G#qa4XDO#S) z-NL_0NhTka%FnkdMKpO5h~5Y-!Bk45E1g}Rm{69oSX0Gm-&D}42kkO@{8Wm#1jWdR zse50}p6>URm;$$m%iY-n+X*!@u5wlkbv}9f5UBlY30*e5APR!4OL<;_vPCLB){fiC zD&}JsA?t*^o&;@3XunC@kYeg^&ppx?;GEAvbjog>S%O4@Lhv{>A0bL^`if!w{6dgJ zT!sA|TB1SH#u*@v@r=s282#~<9bY~F4BbH<$t9!oC9}~vw@DaUC*ZQ!= zHJE=w%+>y6(eh&rU{P3Gw5zY;Vd^Ebm}tGycPe0ZjnofapvfSYaRhicR;Q*u^8OFu zNeflUipa9ng9A(A&9boy6jz2_am-4zZ)>Tw6!`~4!SoIUTk3~c)$;a|8R*b6x;K}) zZtEl}Q|~QPazU?fH{(8AZx=3{dUSV-cR!H&8}cUTICM39Ut?XM`#2J<7XcsZu8i^j3_W6z$^|} zkc=s$%YX=93AW_-YK^+r4Od9UvV6bf1Qgd^K=(*<%uu3C2nz4@4UR}`cE>^ zFZX{)-+oLVM|Oxdq2^cp1GbAc(Y@l|bE*!L$UgQw%yw(^MN{%NJ>ej@pvW_eN*y2! z!rsgdQ7ZS85^SE%KK(&sHOa1_i28m5QUjK`WYyAFlu=Kure!R$Zt!0d8SR@~k@@P(L9GN70FO% zgZ*QGghR@n8{dc^d7!{+s}q;qc|aY|F@DImkPR>O6zTZT%o5dO$4Zgctmhrc_fozRCG+gvvA|&T08*R06Ri7tQS8y|Kfrc2k z`wLNNIh6XsmHtE!Rl zZIPDeE3G!{nwZy*_e*i!7*6!V#k}UsaQ~&oi|Yiu(q{TO{2>B?lmV^OZdkV1jxtWw zh)|Gh(K_EDcSZB}Hz5-n1H4lNaeQZRGFC3tr19J3FO-iRyLK_shLB|w2=%~=^wbH$ zHt}mB;dD@z$_EwuTQdHc8&za2b-6jat`FgGwH38D{oV-n6PYykK!`s>JJ#gs2M~Tx z)Ld|_?d}hrQIl^dhe@jkOpNgxXSFyl|4ZG3l_y|HOu0W4JFcRlaeopxL(muIbw1u332B2fyWJ6%) zUnh9?+bIR$u2IjmnE$ z1_LtDwaaL_eIGg>{Ql9x#TDnp(KT8EvB;xuIt#KyF5~vKL9QLf)_>juz$kCp?%FTbnQE53f@8UQE8fW4XNvwydE}V) zLWl9}DFsA4f?mNNzku`4Aa|-4(f6|E&B_VgRS8CJwoL@vyNPL;#B1%^dOqi~5AaPu zh168qTUMG># zxKZ55yVpU+QL)(7Z#)UBxb|x@qgLTYUihJp`PP=94Mn}kS&w=b4;o5RhQ|AXD|T>k z*GY7yPV~a`*c5bZ$vF42>ddMV^3L30bDomf3(Ro%|DD+sSf0T?GKSmm$WNs2n-6infw(&Dize_Q52PXV%o@|$XE3rY>dv9tlk zqb3Re)>j-^Z#Z<*LlhYZCD`;5(-FN2v}K74)w%+7k?YUD(fvPRi9>K`%~rJMnf~MR zuz{WtUkSO<^p_}2cnossp?4shR?e7qNX5&hAgl%K+QSK9kBPwR`W2~ui5IpxZyoa9 z?n~I!$vz}o0pkF?AsPR1*d}~T`M`Xf=EkqWmCvIB#s8zS^9LZRNo)7PGVXTL2%O-s zhQV!n<)iL>+&1eRe={xCy5iipwb!j`(1ILlVo=c83hJ4)-N2aw1`qgy09Qoa9UkNH zDyvmxNahAlC@S6|##Wc2MhT`-X7ZSAwHa}A(K@qgzURb^um6?q_j3~M5HKF)qRjf2 zkco9*-V{<*^&u!l%x$$b=i6IcLkHOVarnsQHx3l z!!P=5zN4UG3q(fH^ZBM9sIWu~&(Z2?WO0)lam9>qu^j&f_@ka#7&v{CxUoxlspusj z1WBJ9&BSuAzmJu2?HSk)>U#$El{VnBV=<&9pa)sfyKk^Sh_M+5uMpHp+O6wK!!AG; zm?30n`lh0ZQ`#?7?6YHO*=FXk20aL2M(ETVk@rxl9SVk$Rxgac9+9C3j(rMML>A$f z1k_w0Nrt?U2CEJY4h0_~z!lIoUz|f?c4rE`#6XyEiun7qI)DBLT$g*Ks&2XF2=IxK z*K}R$;iW#?XU2^W?TDr^edg8~OU?u07-Ula!>nV%sUKgj2&{(4D|{r8(oT|31!)xE zX(ZMk?d^yi`uG!+(fyz&e(7{CT0Zs1?M_ z#PBuRO0`;19fP-P>LGQ3AUACBtqBc-{M)!bvss}iq;rGp+%T<&_W77(+JCWdu9frL z#@M11f@7+QY`P)zeadPZmXauD_5%Kcvai=9QfV{TakApZk`~U>CT@a$XlX zT*IDvM>#m}G$ZGZL%E<7c+wkfjO73(K8l6Lr`2<6qX9Jb@8~0}D&68ACLj~32xz^@ z$IJWCPm)|Xp4xxXKVCP*GnE1}IlMUh3eGfsDk=+uZ|;A-*LUUHT2Ee!wP)n|&z&>P zx8#(eT)KK6&AXF?#)KZ(3lXkseJ|?64^VWX(E6fu!O=&xb>`A<#ExrlV&E@Poy_5n zOWE@pF@j2>i;GmpKAY?byPAOcjl`nrKqaT>;EDiicG)(0Ru|~e;^_IUi8mDY49SAu zasYlb=`TZ3ITwKE2ZPw`s^>*Vg|QnR_)iTTL zQhF=Bb^KKx+t90v>c|{cs;AIIlI8#7%`v$al1AWe!iz;Sq9(r=Ijxg&4DE<9F4mkC zpWV_~JPo&~anAmSKd!EP^g3)?LUxV#xr_6V^Ripxw00(5E4e*xZJjm6@C>_-;@SYd zr+cFgX}j!8^x%oTVmG7pB^G>X(eqq0?-?c6(0<#l&XcWjd!nma_#U+$F|FgvYRqdJajwy1!dQ5yE)qb6}*@npe- z-odi@5@qg-du|uI{4&8KBNkEHp|6)$(f!X>9Tczpuu5whtObX_N9Q+r)xmRO_=|^@ z?fub1FgZE=b5?J|%=hCR+~sBNts_|LTO8#ZO)_ss#T?4M70-&?6~Z1zg?^2-bMGh7 z$galJzbchq4M9yWPKo3u(#;OpGDRP{Q%OXbf4(zVjh*~ui)`($9tzTb{E{jKhgpjDagUK%%^ z%fMLu=8YTSWr5#C8K;IlH;O*~Il8v=m>UMQfI4#hq9&LrGt|yw|KV>)E+FP&rwH!c zV!^%k`{Nb`MnQIJ?O3mT>dfkkKTNzEz9cZz5iz{p!T3CZ&*Q7oh0I2npf~6M*$Za2OXBR`(p& z=jS&_Vd@I}$O5AzLT)u_k~Ch^?#R4xV_VN?=*>ql!*GiOXC;RUU@BOoq)KB_#9D4) zS9>RhZFD{6%S`&EbCrX!zY|a~f=bjaGv9>}JX*cxYe2F&`1=i%(kGY08J^C@avz(I zL&RBm4LDV}3m2g&|wrv{WRBbpp&uaKA8gY-A>pE69_##0A`;l>+6 z+r57tcK^RXZUA-)FOW}MS*|UdZ-ppmF&SVzszqW*f^mqvce5;TDwki@K#;#wchb#l zg=wTFqA7*Yf;Kn_p*N}aW_yN%jB&3p6!=@WG!vltX)TrIAO=G+s{$ zz9gnn1oOKWR@9AA5$CF)yskfr9DAe)1M>-28f2b@eNnwXo*E15!9&{>G8K2ki_V}; z@jAN!31=O|*lVAjDiC7WH@2s|PyTr2l$1#qPz49wD z4aR(t0rMR4i?T)ZNmjtgK#8{SSX~Z?-dO@)AZ@a*P3*H(&;8DjHg|_UZ8$X>agoWbulO~^XOCJ z2+i30MPIHugUS+iZG~-F(~hB#`gbwW_iI!3qGXd9zDwxeoTEV;^@jq21D1`wJC449 zeW==t#?p6@rQQ?wjGie~_4)>VWJZW4ad$!ADAtI&&-rwzEY2B1!`OAmWmh`{cKF#IQKJb_zST-Pl*TYmOnq zrm#=@9w?V8*o!&z3xBwquHER^+ID^?r&RVS7i+`v@V+d80C%s~V;UR=M;F_&-9DGA zi)C$YxWKYB$C-!zz;z)9>;8G1PZXLaGA~Q7u{8C?H3dl-DJJbRek*vTg<$Psgya`K zr6nxY|3YV4_n{a)9-RMI%NZ5(FuZU4m&I&fF3M?|ON0D*HkRXA&g-O0UqSj`byLb2H{&WSQUg0i%~?WQfA4g zUW_&wWj&04Yd+3tRtR_qNwE4y+_XO`Zk2<)|Hc+_Q6CxUH=7}Rp*O>b1f(qCM;L#r zH(gfRL;i}CGWL|qa|ZmiT_b6lu&rJ1_^n(V%7RwKz0=H75Y_pH-li_H-*;e@HezvS zUg{>V0|jmU(Fd1!O1;A8=>yGn&q+i3?1L6dZgWG~t=->_A~sUuyI$qU0_#LB_{8C&Ydjh<;ZSn z-lFNKsZ7glMWk8r$`NAm*c0t_2*o^; z6=L47z$OHB*Sfzq3Xm^%I=---5PlkfS$83_gn*5I)*{W!)Q`FE=G5tm$_(2v;^#pwjgRm*<*A($!|9ZqiM1D;dEgV@d)^P4$Q7db3 z=^a;+^?VO(Wy>+P-la&nOkz+JH{6+mrbXhK*skowJgWw4@JdJw#w*`$wucBn&-kc{ z8^^fIG|+>ST=S=DP~vKS&Etoi=Hp@f9l5^)#gZQHcIF+EkFIgl)X}+Bx@2Kn?AF0A zlaZt~2f5~m4fzYP^oM(Cdd4Yr@ImGMsz-eyD(IX2DUi2)-OD!ktC#Ek0w!z`M77wMGSF^o@o6<(cch^f0{>9dlPN8Hd%k? zt?=X(8By6UxN=(hm8b%dipk~#WptSwdk%$OBIO~+Y8hM) z$Fg<>Kghtf_fneLz!v-QdA$sOo5K5b220J8Bo-Dik36a1BkHb{`uJk4b7HpK*3f^% zOJr}zpgQ_LwIYtX2FMeHC%+{z=2;a_a6LUG+R;?2B(UKsQem{3f@CF+JO$FPnvw7Y z< z!)F#U!gr}jr?zy?(uae+*StL~{FA~B`5ZgQRaY|3xV753z|E&c-MQGrAUD=y_Rjdq z2wAinhfKykWT<3wp2-6dwU2#R*cu^lF5k_GGixF1?cg2z-!nk&U2fKr){QZ4thA2K z_Pcz<;Ny~3mDUQ+bWMmM$=Nzi;}-gCz4kmAmTfW6WJL2G!NWJpFy;qb;9l^08!#C7daG82@Nr z-^;m;cOX87CFCZrl!MV$&4-zT8y(5rKJ}OUDZl-2xJOJo5wM;k#4jEMt#Sq zmdiS&gy-GzlK9)1^>2i&Cq$hx>3#|)faImW4NknA^cVm$;UVl@Z#t1RYVSE&F47NS zf@C|Pi0hGt`)RaQW94IpfW7geE2wckgn6d%dVsMX>F0<$4i;@`SI>v4m$>`MpT(A9roVHM=Q z&=Ip=do(UR;5zJ}ML?j1W6JlM*@S8#mOxmclkE7%9QsQxqh7n&4NTWD2DS=-X34!q zvH^vvV0n3VY+2>o`&QL?_U&{o@&PK1RQ`rRITAjd@QWt%V}ZQokfn8@6YH`53FHMj z;usFB8e|wb>nf*Y0fy>cTNjJAp(3rTR1o|1yMO-&YdDv}4SXrb{3uwhw~bZMRn5W_ zxPuT3W^f>uH5J&ZHV=ct0uf@H_Z%=`=u&O#VIj=3Zfcfy92gTo3uTsPLpx*&uaV1I z9R=#~f0)`cL)lAi=if{hIW@92c}?^Lakn^>k96Y%t^1d84S?K$)&s@Qh)X6-mlV+< z=-8SjZaxpCD2>YTgIgAM4%VLbN);?`-<{i|y_Wirl2<^UXn6NvI%3S5wqEmW zE(p5S+amUNJ-||{zGeHN4i4HPua!H(KK!a?hv17_F zU^I#@70GrKi3W85rgoeRV67k5R=MPZD-}}wvIxdzhKOUt6aCFA{IgD^AvCg~Jve0I zyDPNw5uqD4x4?~Ros0@@loIUiQ^N?Jo=58Sm`(W4Dkx^UIX;a7?PGy7Z+j^%Y5Pcq8yJj&7Ob>{PuT9jh8M$ zoz)=l`=$gebGN7G#d&a{`gMr~1uLo8$7!`D28Ja}Z+^``_*qoE1jlh%PaJP}_?x?4 zThIa0BTIVWTne>F1yXN3l%;$q$UGM89p6jo{`Wccqc{d)>FrF<&OR?EPHR3K(9X~$ zCkIn8cQVzdtrg%wO>r%={vX7z$wg^5_idf{vrFmQIREobpyO(`&Or`GL2Is6d351? zY|&xVdrZhH@1<2vz|&2IVoGpK0Ijs}tUut3qD@d}vFgCKl|E2j^uj+BCO#BL+Ev!k zoG++F-CXui3}{&Lg)ACOl~PlaTpkCZ&MStMN3I|81866@yW>bqY*kF#?f~V19})M6 z7mQ=E%^#ub(Aty7KjKz&2LdQpG0?um|Lkd+p~1v;%go29wn0#fL^x0G3;EwwX@UqE zZY{3kYt%jZ1IgGL8<0Dkbs#J)#ml&~VjQmkY2rG6>P`1>1n!hgPK(#{W%SNqwT5c$AS z1j#1l(5&s6Pt*4zCcEAU-Uqe1+BOu%6~EqklWw1I^B{e0tDV<^o{4YbKTqNRv_%jN z*dk?72!pw&wCQpRoSB|WEbd(kRY`{efcgJcH#1pl;EaO4cYA(m@;;kdCy0B0JeUG7 zY1fPbiQi02sv#s(KvD`jC5GRe^WqT!`%3j%5f+(sR(hG!E}QPzxt#-elILwQs}%)} z?!d4$k4OJcO&K+;6AZ5rpS10?c_UlJcJw$;pLs%0fk!N0>#E-AY520A5+_*wz2#Sd zA(U>QAfl%)mR$fNmg3&RPc-ClSGG9SQJ!IX?5CR8xx6A+mb z6=lZji;e{)wKC2$IY!<+BTvlGAWGsgPA_8hkObr6?7q-jUeO-RPuCymnwBZHO9IcQ zBJ$P&eKKtUj@-GDIVwYEnD}*Tw1>{iWhLj2MO~A?KZTwuhx#QxhUm-A>@cKd{g{PnKvJBqK<)^SJdyZQH5TM1nBK@xZIY5*B{psL`rAZj%s zd>rR@tBK&Z3zPHODqWh1IZl!K`elus%+Am-bxxJ|v}4A9PgMQz#ED=%XtK2$r=1?M z{q6SqMI`jPNl!k4cpLvbuG6u(LaAM`SLtV45kXhz@Qusg>I~cC>ZS9E`Bc^ZhAw&h zeH<&;@Rv;ewm)SDTzQ5q#rs_Wt{y!C(BbcT}R-Bim$sBd zOUG`{i$(ER)!c8Yv}J9HoB9s?)UBL0Ij6tBIgI$9cLzBve}gFa-DUk|U&tVwL_`pr zQqw4Y6RFX>C%07;N1X>NH$4tGq7xL|Pa5>RHh$}rbo`_^yQ4@n{9j7T&fV$(p7NLZ zas8^&QyJ^n9q-CCEY=_<_CqhJs^gIZ{hx?8@6P##D*({18>@Az0gbRWT_LPCwEsK6 z_+CQQnXTiuDBc%E-|%8v$bObB1$@w=#QsH0(yUX~oFiV25Uav+Gd{nqmJuDM|J1S7 zWBpt0F{-JryyAUpCe(e_Fz5f!DYhQ*(jj4_I{Om8b=8Kr+ZzADNb)6myiq#~e&vWZ z;!_GKwju_A$qhfldQB>?yNi43HFMlR8<92BVn7Sc@Gm%r0s*<4Xi8ghuFXRa+RM*t zE*3w&=vB1M?f-7D9h!)(RHozY`XL7z$W^AB9qB7V&*PGefrNO{Rj20(S{2pEoi~EB zW*j*_+mo(I&=~cPa(S`K?ImY?23M_hW-A7{HT1@+gI8PY^_lcgF0VZWgQLl!`#jRj zUYWt`;4CInD3@klnmnd*?s)+;Y55PdIU>mDpkiu1e{vNJ#B)A?3XJ$>ix=U_RUo~$ z%DDvBx=TJPPK~`L27dD(o}xm89O9G%-5oOWD}eB4G-shj-T!_b7!Z83M@3NMlhd zB8$Vi6t><_L_|=$!#bC&wTSiSI39}KBc-@ZYqmJM!)}0Fa7pbD>O_vUkWobInjY!> zB21tHj$J-j@l)W^$(%xSfgJ)6WGa z_$2gWJPe&JtVths8dDq-b8*>8A2GPfYNo|UK^pco@M4IP4QAD&x7_rwHv@s-Ly8M0 zoceYmT_q)jiHT9mi=wnDK={ppI^oTL;;#71wOXR8R}{C}?8{ft*VNzKfe#rJ&Homh z7z&B}ej7ubaoeEn96zRs=UAIrcpWW~a?r6@J??yFtQ?T7ES`Vge~7tUtTZ4)z86RK zeUd3kQo0YWXYyYy6ND?SXk!>%rFfleJDD!z%vJ)#@dd^r^e#7YI7MlRDhsXSD6Z!pWv};{hAE+KD~4&YpahE$HRM-{HvIMO!8dchgRWutGE(k9DVjCRt zn1u$<8xY^=Wo|J97kiqFWWJ#vXbrcf3kq3!aYW~ywYKgFc&WCelGn%wt~U3vJ!Wrr zBsU3iEhp_5&SCUhnb=f<1~d zK8{FCS#Y_Plp`R_M?o6`Hdh_k>$fmgfEQ(4$emx%rOa0{SnK0w4g1{SeCO`!5OfdO z!dSS_iTh@T&1(g-;T2oX9r4!_pVsxiubMqp{EhU@nJOHY=#D(QiP4j@P3W{q-PhwE zDG?-`^oJ?{uLzN2_8BrTUR2{Xj#F<|>pd|3`Y#SwJ`U0ey$Y!-$>r2((j{<`&SlZN zUo#4s^Zv~YM!D)E{XoZA{JXEg)a2)3JIefZSx>#kFP}gTCEP3%yh6V1x)p?X;Xaoh zYH%*y<*oAWahCzvoDz(0gzFUP{2?ytt&ST^WZi}1k!Lg1QzNzNBaDwb4oak_)pdn2`k`C02kX`U0`>7Hql8zYW`t5wQROGv3(N^`l_t8_`NLAGoH z?M&60(vUG>v2Z|VMOEF0&iDvQWKK;UpsOBVFD5Cjp%A=4+ zgHA06Ktc7_H`OkmTj%sgAn>pv$hn)3UT<)eXiwht0}*~Q# zkWB8%t!ea&BdX<}=kmv*VgH`Kk%5x66B$+#Mrdw>YcuCwVy~|Tvu&eY4pUc|S5)0s znT3PkRF|P8Q->v8^hzdH0l{`}AGtHQ7?AO^VM|xv9!-d$$}8T~K4b-6xA^$aEKUc? z>%Vp_UhZ1Xys6J0A`xsF6ndzY*onZQ4q4v(0Ig^PmA$J>lH2f6zg4?Wh=Q3`tu!yD4m9>rgJ82odA0+-jm$siG4Ct*X{$d0j==~G7Hp90z%)bj zgB*_?#8bL=Xk8b(O-T#<@iYI&#_*b?NDlA@_Oi;pyzh z;n1tk=owIg*`24cZ-g4yxg)dLAe{kQ;|*c-k`9aqLX?NnfFFE~fym7yz?3&>dixx$ ztzSz{vrUMY3QG7)6+2>q;IoeZ*j0Q(hEmIC#C5se9%MzoU&B7Jzum~DjU0PcGvCAL zXL;xIYwZtt9h;|)O>IP94=bm}r`;u(i(kUnE70e2(lLaIAqjFcah62Z9LE;Z5h#2*s@%>?CNUI#zN*bbjUM)Hf@vd)#f&-%*!;Z z8a$?qrEVI9ZhdiO%znqAXm1EOg?~%6(;S^Mab2xOH(UbRs#B4M#~{u+!GaafFh#kA zci*74l8kE7R~6djl}g}=ok{WjV~e$Z^ax;!I*(Bxjy!KyUn6U7*IkiZSPnrYcs`=T zFic0Y$z5aL-2NrU#m z1UdcgfZkz=a!{CRXER40&|-LMrE{3ULedj}M#MX}H&H=cnb?W_A>_wYET zC=|F?8lR+BY*pp6l-L=x4p_zZ(}TMM1Ezvbluh7<9x9RA(UbW1&!=S3^9?fV(JMy^ zj1a!WM3uHW;nLXzuUI*ha)=Ekr()!TD)$;V)JLVueF;dZX&4l z_%|00bDqBjOb5ipR7HMCTH^Ck^?PGz`RDVp>e+DF#nC=Uw^wAE=lKywZj7y>Kq$Iv z(GQ~%KuzrV3U6EM++KHQ>2Hf=&m<>zoQC^M_lj|S=R&JA57;Ex*VlAP#Q-c_fbK

0JuoxKi7Q`B>HV?5+u19r0+LmjQSX^_3`5UO#>w?|Ov=m=-Rkwe^oi>qYvEc|djO z-{#B$d#fChv|_Crf;w5LUadO9n0*a2XZJs)ZEm|cHTzi(E5Dn}+UEN0fpjeJ5mhHV zTovc~l@5N&#l!nnDhEoLI`o;|@d!>C#EA=^gj@W1r=%idDBh z(lw$hFeC%Wo{C0OF7Mw_1xdRvb7&TA9lu@frYQre^CHJ6^)gSwANp6tcf(cib=kT5O%?QW~G`+5iV`R^XLeiyU&dP_=&dV?Fo^lo!$>nYtU6b z((xf%>z)-W6Hs9`txtGkUN+_ftslDlB>r{4oWELrIgf6aK$hFw#;j*D%3v2&NDp?) zkNKJlSD-*Cv_WqC-Pzpfwjq%E510!Ho&&4^V^~RI=Y+uYKrBZic{hRotq+ELntJXk zcPhv0qed*Tkw+{4$L$R8W-C$koC0vBclbw?49p7te+s()f`JYEz*@J3c$+7M1%L(z zf*UW&pxjOJ@_p~lRyA=Lqycb11o%VHRbWxh%bD^0k(=wNy+!8(-UV9W$j>N|woP#M zgEvCH7w1Pxyz3H1qp_=hbAq^aofgd>S9AS<;_L2a=H#I0XyHqZV`G>S+Toi_xa|i~ zD`7$96m$OFcAukm_esHHiOV3aYyodwaj5R=%dks0u~k{F^LJ6&HFe_OEqm zsfNaQzvIW5s!m`OkvnYRr6iOC0cVbVNl1Nc-M1Lh5qP_aEwatwrZ7?uLgvGHW`FVi zjAYGxYDJ>)(1@gCpeW1x{f?{4d%}@)gC;#Gc+|NoPGEizOz5BDOCwSt-1~g_JZ-xq zHa6kU--yXGADzAN)f&&%UV{#nW5%yDQ;co{1%r&bs{-7)#h%Q+ z_feD?Vt+#`!B^02a9lep#o@5zf5fcp9JM5->u~C=wH*>YCucScnds^syj}zD7?lvy zXHJ&FnV{oAE(s_LefF@b##gBZ_ku0R=jci1rSo>_|M+hrx5JZx*2;nfPFO5Ut9uq^ z;zkz`N-UCXP216`7mb}je2~OOq5E!j3-?F|tG6gLA&~RI;rmfw@Lb#OJ(slkpxtdz zi2!L7&To5{FQIa1BF7HJyn=gi*ext4r({sS#6 z>VVlsj_7qRf!&zu`%P!O$}Z!xVN(R;&BK(+L;wHGGD2pUftsOb&(Tg9tJljsc8K$@ zoiEC0s8uQ?$sl8_*wa=lPq8Kx5nblpp6Y~txjos9)l|lf$ACb4N^4LQ zpkK6S*Hv^u{e9c)Zb2yY3`X)i1!K$nVCi(!do9yz=I@vW0%wuBRMy62-u8>3`(+e6 ze|2J-q1|MFOvC9BM16R$Ry$))JKOAkQhcUjV6Yp1^%KxR>f#kPvQ<6eKJ~3;BA``C z+)V|Kqo~@>w{7BW3{u|R^CU_>r$Naw(}A~R*TGWwwlpY))EcKfRy9(CW?znaWVwk@ zakKE&<7JFREBor<<@+W8kOM-Vb2X#dxt+@;n9BXgw;4RSy~ySu>|eyBLEURlPM+Vjz5$JB>n@=oAX41t z66j|eneS&+_uxm%>8F@{P1o``JLYiL3^o%jI2Z<+)PXuuoFO-7=sH$1ZH&93f_w!R znC8`^G#43L^CBLK*U|R@EM*IXwcKz^)mnr2OU>cTAqZ2l?T##OmDL47HRJcrq%R)= zN5~L_Ez-XvAp{`HvMh%M*&QpUd~S`a7oWT>dBCSC2^-)eyXH0ulgA%?a5p_6&i^P| zd#Nap*|K7xObuWA>g&Y4GNjcUA#3=dmR}*>xw;(6 zTV<0)2d_KrX1HM}0uL_o?IuG>>v$=Z9G z0?TF$ZR*MmHdgy{B*d_wRktp_cHD%R&^ z$$A=lHVOR|LI-)?@G{#)|SvBj6J2?C4sj=YfwC9?B@$-Y2jNr(z&9Dtt31A zkYB8bDGR=R1jZoDVgD}jB}D8dw+p8Ub{mB3x|xS+M3vqtU7n}XrF9y^2L#?o%QawBb(+|DQcMbw}eM z#v>W*%YozWyGlv;^I41-i(BTddSPI9f6o7FOx;9s&2OryV$wUVTtb0q!@2_KBkmCU z08_(F#Jtb>BFA83h_H%f37kA=KJy zuVV?#TkDIJpt>6XN9XKg{6wQ=*b_~97!x;x1Se}4+V+dhiV0x2S%kz)s_l6uMrMHS z*~%{-$ZS20+vd#e(|Ms#pyak+46ZH+S(5?tjlAzue)vje{J3thHXRK@116JalnH#? z>?O%4s9 zRv`anOe_T@!=}j9Jph4*)<6o>^QN#ogHc0X!4iFTKA(?nzJ9^coM zyaSSSq{D!G5o4aZTRTM!c9pctf*z(ppXFaXK=*l0AwNL{ix=h4`ouLkm^ZQ!;LE-k zako>NpaB&=)b)yRr&|tM)IwWB9n%u*|D;wyp{@lQF&sgGb-I|xy+?w5FkfXG<$P~_ z<@Wt3AI>2GMZHcyF-eB;_EW**DHq_}y*Y#)m@G*!t~k!94ju z@;e5PgAh?p5-F^(NZKVH#+@?0V;<0El8o3+=pnnG#&R672y@WD<%WxLQlmdDBKFQX z+%GFkWl3$W%&u7l%#1L0>FoG|uLLTe`)lpeZsZ1rL{(c|Gg4c=v}-fv_{db1rIyAd zUMnLzX8^&_ENPULvXEuUjW=exu)F+w+ZVhI0zzPnf>I`}@1hUQ`iC^_&)HvKWo{~8 zeen6NWbcD^E@u_Qe(dLlT&86|N#8fIjfKc0s|h;UA&#d`PRCq?GPAX%J%^3`M^nz9 zx!cu{j#>z9Op4f_Z{@mDKPHN9**ma;<(050xBt#i65y?5OViOTeaQ76I2Z&W|L zy3oTU3zQ+P_{!n{f2@MqIb-{f;SRf_Ap-|yg4O{VSgtr|Iu~UQBk%3yM7e`2|=V=ks2E5Zjc(fySqUeq@}xu?(Qz>?rxCo?m8Ra z?=Q|->-@)Bz+%`jv!Bm%-`DlF=q~SEC20x6Fqv^i|t&f5%6QVh9U# zftQbf5(^oO&^OKsmx!SPiAxSXY^Wolv`6Y^w>dzN>zh}so(TH_=iHt+%QqAbG&cnZ z8FXw^#cWh<&4sDEsIzb6otnC|P5E^7|?gss6<|Yy2 z6$RKv7wU^xn5br!(M2f?^`T8s!=^OrG`~%@Q11tXD<8RqFAB z(}ZY>ClpP4#Fiz#crTUxO+Sbh{5@fpeqTl2WYmh^vI4DOvl|;RXMvsUTh`&+gh!^; zB%}jIXMp6wvGtAo)2ZIJ*(c1tpm4d2=nBS{0dq6Ykr0cE3yX98mjXSuA1PR{dAqW0 zq|Y>=;fQk(>DXSh&7B(-$pXoO(23Z|gi0a12K_8TP{w}8>%G$(BeUf}btstQRcX6G zU-tp^)Wg8teZpV7vhpWhtd0c;gk$b12E44aVC=;a>~i*gvyXSH{))EnXW-FPH|t#^#{C9^{je*9&a0H&S_@{^Tv2B6NSsX35UZ`W z+vFd>EakDfi^g9NcpYi(uVu~i!zJCThbE=)VyvDpweTy#cj)0|0*=7(#frHCzd5^( zXi*~pCr1foR|32rI8>a&B6+=T9zi}S#3sL2Zq`p0jlbvZ--=d!N_v0_X``48JbGt? zv)LMYoe_SWC4A2K-em7Q`}1GZ(q4NfGsME<+$ZJx*Y4NxkBl&*F?#`EG#=(6T;_s3 z!la%8B4Es_x8W~1R^grlH-o`F#c?))M&*qYpfC=H`hYi&PZ&!9oAv5G4{_X5gkSSu znG%ZZ;mOu4%42Qsw-DG|aPqmU$JNc!O(&f8+g&$%z~jW9fr&&JGF*Z2x_;UqAZM`W z z-VY-RsAx#SpWc-ZOT9aKH#C8zrS2!!)*LIQNHq_CmB?|@^VX7-RcOZpwFC-wL^1hF z$fybKK)VlJ!ocI@nf9!LQ#6w7uzJ$!v0CY&0{6;n|F+L}R?6XCNoH%_bB-$OFZ_wF z)mG;S=@Tu&z7;8<#te81miispi@g5or%F0sj8S7wS*|}LzXNyjsxt=m4oHVwX;c?A zH(hI`!^Fl4Xn?k93MSv5ONXE&|bwU^8rHZj9qNnRJZdJ2Kdm`K& zDVPMqzTgB1rfp&mc8Q~X;Yib}Gj5|{fnwi<3}ZTp3v=FI)QS&-c5@+ zpd|U_Jpr2=8?E0#Fy2Vrc*yH~<LZyX#zIvLPjkKQnL2_y2Wzc&1X42Raqf-NQ zTBLfbwy&8>$g?Q%G`Mdw8_KLHZLX&QhnzqTdsqZxAEYKkPp-7AI^HexZesByt8F!8 z+4T_uKHKEpGvsaM*djd)z4tER91b74ltUhQWk&&w#je_u5Bm2#cgGj|R_OrCD(M7< zO`r`I{o{mO$Vv{h*b~?dKa;jQPz_+m?$TOoPa89`p#FahSCgw@pdLbh;3H;R`rFjy z81yRi!nrdKa&{djkFxt;tNK^ql%N`z7|w@Bd)0gBXF6dbyk*rS+1PQ2Ibo8fWmy+5 z#SmvJrr9EPMUP;pfV+6peHXcLC^5dO8113?Gk7MT`_VYFVOHog7wSP1D)a$kNn{?S zl*zU^;~=^0FlOvknoY16I?RCK7^=JBlrQ&fW%$`K(T64UWK#GdL4xNQv;`+jYk?tg z)=OKo&Hnm&B2n5ed%gHa$p)2(&mAz(WIYQ42P#$Lbu6alGbfP36+LZrN=K{YFujQ8 zk`UgmXkb$XSwPLOL-SWgvgvbzhl%k2c=3T1?54!zFIiN0*kV`UAp zetf~N-@X%j^L;Bl-L~2h2D$_Fg2oX^R{4$Cg$;GaM-Rc)Xh>!?QQ*cY3#eJVvbf)c z%%E?W%)QwSle~LGR_}6uuoOLy(h#WfsEXauP(?h$D}!4NeBrmY;RJ3*GpgyF&&c+0MW> zC9YevI4%9v|1Gtyl~txdLowunx8do${lL3S zj7shUx)urLppe#>TtB$%{}w96U@;!{{aZ_r&((sEyYam8y*Z~qw@avvTE8a|^yxXe z*YXjPYsrr5{;cM)oCw;Eybi<}Yw@R)@NTW}7;Cwd+ZwRGb4$lKhNvi)BCt17@2kuo z_AF3KETdpnquwU}KaJF>lbmR!G(g+UBG$?YWbO>!=lu>OFdOBqF1sVw9Knj&-zxoJ zv@H1K3`7c`t%}0@`=kloB; z2`Z6GB(33)BmnDvU$@xymnbyUk7Vdyt%P%f>gs#vNhY z6lzS38Vwbya*F-%CSzcD)nYq`wZ0|4eo^Ey%Xd=_ZA8oK*wVADbl%``n3QgFbm+Ja z@V{wroehR?XzwhTPLNN8a0zlc<_kL24|HxLwH#k(Y)>H#sWUusA*+<M*S{Jz$Eq{{iy(pvEevL*?u((kxC$7G5eL$m=T=^KW}l z-^Q=E?qxVr&Km}6JH$nqR@zfc)NpE6?L?9X+_PZL70TWG)#FYg!Z8`fpT)R5c;`7(|jjk;X~* zyQaImPV{aQKzf-9XhA=%BaeHhM1JQfDP8U4$7Y!YqI`%kd35vN(+`@D@*wfAmvN~i)00X;8-4J*w^?$U%KU0%Sh$?sUC zk}Ef>7Qizn@5EGSECl6t{~UG|15=Zj=B)Nv^c`alz;0pxuYm_FGi z-auLX7FOELrT3IPP7CS25O=pcOu9SsgJ*4vhkOH-h3wnOwnf(~E($k{)RS#AJG}^U z8{kGQ#XfMJ;XQY7m2uqh8l3QF+X$eOEr@L_nw%%AWa@32oi*M56OW-;U;`U&mcNAY z;lZz1)kK%oN07{BYDBRN#Nl{K%KI|LM{@0214ht>|Bk<$@RlewK6Xx?$_?Ntd4v7| zd@-AaI#&O{8IUG2GQqg&iBbe2s7Mnk+;%;fdI1B766E<&9k;9X;u#sO(@|AzF~dMJ z1oKItQKHfkw(!}Jpe1!QFCyfQPK5kuQN{Gow%nE!!*H)^h%JAl3aF~THZ&w=x&Zje z)DPLRozah1ZvRrcv#5R1!^7|9-(?}&f3yC{O#N1tZQ8YPwyOWVd&M+X)%8~7IPkt@ z@647Hmy-3Y*l1{1^Y$jxxN5XoK`%40_9&%3oczTC(_?P???6SJI~7QWkk?ij7fCBm zPO=CJwFXA{Ah&fPM%N zxN!LAh5Wa6TJgyQM(aJ^mrfkm^#q*1>}zToAItndf@Iyf65=5os5|y(Dck8UQqFRg zm2zyGoRV)Vp&SQ$1#f5GNgeeaYQArXUYVCsdA(bDUy(*fLW{k}3*+uzK@Q{eJ^uRtSMps z-jbjinlQq)qod&fko725_3O!2JzUfOo|47&30(KCYUC!))gZl_h=GC?xz<#-#9rpF zY(!Rzo98K;G3wV1o~mI>hKtJ=wf!P3;pOL|GmXEh=zB8MjgENAj5KkH(;_vkYDR5O zoH2es<-nMg1z!s@bOr?1XLs*q`=~m%qKg>RNBohuZr-d#k0ir|zmnQ*>!a?9?EbaP zB4CqQ`69K{k!)E*)f1`!QT|%)zVPYLF=K4_B!3;uww+Ax3c!(5xHmkA_y8j;FOh*L7>ZD*%aD`ZM}~unqXG1jUFA6HVJj%uVRwUA zs^9wI*Q{E?@@RlD*Y0T@A>S@)_R7V6UoAVaJ7il;MuOa5#G~z6+sZBj{G{&57n}Gk zEzuf*SYO6nejW7$cz2Skp6-93rh0fq6Kcc znx9Sm`EAX}e$5h$^Tn^4BLUCWn(kt6?2gFyb;fesX>Lek$mj{)<+g_8Z1Z*z8lsh% z!04q++o7*~yWl8Wb8s|W8mrP1UT&ba=~jx7C1*7v9Oh~J^0(np<_bfpTS64iAFLw| z-KGcFSUGdIUp82rNYs>UwhwN;GZq3vMkALg2(_C%JAi9 ziJiZD{P@!y)sJq_nir0GeKh4#V_nrn!T7Hul&&8%ENe*eb>#cl!hCI?&2Ia z@cRQaaW6kKb6p7bhCxHED!)zU==ps>%g>NkmXmKo-uD|F9SieI0U>6YAC~rkcP6R! zYt7%2*Y}pFxX)u4R+7#=@etBiJ!bu_Z51_2#hB0)WilT43AgnOo9EZOheA@4Lq0=S3+r7U{ zJJe6U!%d0W{k?dUUS*KkYT1s0u>M~w=9NccaSFG!Ty~hEynS*k;+o|`XtNTpMin2| z-6~Ygl+m+*%@qD7oLgV9;0)B%!eH(@ex%xeg>K~1q|h9Pz<7a3+g)M?xjRzPd2qA{ z*+QtAP!_L%bb-*L_oSi~NAEEs)Ucm-Pe+X%osrD#z)JS_5CC|%Yyq~XQa-z*P&yTk zaLAG|A!C>>6?QHdXI7YIUeEnadaNam>NzMa2$3r8WT6Q6dQHLTg>0RP=PBFnj02iD zQXU(}IsdxlpV%X_XsaZ-V|f(zoSJbJ+nCn*J9&ijfxU~HYYV&w5v3yIRu?;KJZLI> zR`uwNj;@EBV5?rSnzvNTmhvOB%=<+&jUsNPSNS}_ITE#8|M^Dx<-)f_{9l##t*Wt5qeSY7{E3woXv%BY=uLQKtH3YE=du47Q1- zw*R!@>#0%VsO}$fCS?FPXA%dTX9Ax7I~kN-5w9qs8}ucmFI%pNmTL}|v5h##3mm^( z(8-0k_Lqq*z`#^*)tfK@r(OlKlM_Bt8ZhDob&(2fRute#1tgB0bkNL;1lv-{%^E0h z&+m8st5n1J<68t+MM*kivJi;zOlkicVg_oW;x1c}+zY;K z7Gz$HT};ipWnKcNHD)ccGnzS29<7R64w7vVcThYUF1*ADG*s+!R4*9LJNrSB@Ossj zMF9|}@;?dRVu5@?D}t(xYFq)bQLrxI6EB@s95A$S*^l!c0@4*^(>$M{7e>_LhbonZ z$&k0pm=9~Vmk^WTEyS4+-~+xipFdiJUUz1d3?7t@BKK@M=#@rPx<8XpIVL3!hm+?q z?zw$fB11dHa9%qpY(ZR@*0l-q%`DB)11m1iDa`%Mf z(9k(uPAnAFA5V9OEG}2;#??Q3g?`b#y2Fs}+PZoTs@$pt3*Z2xnovXff8A^V#{u*U zu(!P;gaDvJCOX;QFBp@&|5ImK4Fn`}O;|LS4OG7gxfcSRjCgQRFVjdis<)n9V^fcJ zc6QL7t3ETGnnzLMi9iGS7zs3OIl`02yY$b2oK6OYQzw*wJec3EsPk=w$^nfFtvO@q zrt`%=o-AA#lZV8-2Oc1Xj=JrWchE-)(XN!ujzNB3GcLIjomWZ|E|F$o&}kG5IYdjRSL45e)!VE&~iTHEOV<(kxHp_SsOq5K*i#MtqqPIw<;TEG_L3 zz%i%9r;>zEon2hKtB`m{I_zuvtkLfFnEOa>(8|j;p|8uQe2b8!{h0BqJ7{v(q-2fD z=yWz36jusqySMfPWi&4K$|G42MTHHTh)=9HOe;s-3)$2PmUfwyO(OT(2B8jyMJD-a zBZ>c#9PjRrs+$#hxe3OvdVZh)@5sGlbeiV#APJg$op3xCoOEA`6SnVA$|8~z{~mYb zp6~?V+Ch^!$FaV;!UbZVNQe|)Y7>gjE^g!?h5+1}Q=a7~Va||v{8w>O3w}AzN~>gh`i*#uG10i2C-Q0 zB5wGwi({j?C02eOtJ=eA|AD^cI@o*NQ*@#WHt#?&|-BmXm8Ty&SJ28%3DiMy*lh#DZn_MUeQP>~5) zq|+Mb6eVb(mdXP__`F`N6U?kaAI$qTaeVUh`~-IqNk z8IT3c@Kr_`U(P+y{YcUtYleIE`np68a-@+fdn`jBXJ66swxeklM&1ANp>y=R(dtb8 zHH@hae()Dl3yL`@tXfX!bsR7sEH5cM)vR7Wx-d#M<3i*)KbYf;tZl{xDDoaOVjXpaj3xzY{#c;b>qTDgF^8G>ZMuYHWV85!?=&)mcWwgsh>h ze2dwhe4%hy2>gEqjbgr3!4z4=xM zJzISai+E1f7Yz<}Lo+^a@^)8j6*ucD9sTH{a7((ZlaJN0@N3(9(Yuf@u`-7(xRf8} zn(*JTxpoKsAbr8Fgfu7GP=?0jg-xp*%8?C<^%?Y8$z4ArROMGHV4B$-6Y?Q^OSY5K z?BO?bOawLxj^>S*z7WDxzMC1#ILi-{r_etcszq)g1$Z6BEpc1EB`L5ivXT zkV)@y9)YED;)6Mn(TZ=xMXpXQuT!Fk8Yn%9d*hC$EBpZL9{J-=#Hovi*?_axB${;~oPsTl8)BfTkN^tM7GV181N2Ug$v zf8WC4EX}Z0d;c4tF--g;J(!^xuw{z(i`|{z@A^HK3K>NVd-OFtqJ}4dB8C~({{!jZ zDJ@}*nPAKW?aXaKQ~8WnN-9R-{;0XFYB7e3<@y0AdeHU_N)W`($DE{yJTm!;TxB)p zT^X3(vHd+E4@zsTa1W8S8WN1179AgJKjv~W)KEEZ*tK_*Y6dtEA!N$7Ejj0`;=hRlX4A)MDxxG7aXRX_~k?p;_k%zqBzNDyq2^kYhxJoA3S8!5C*}s7Ahn?;X zq%>UGmw1+BzW>v0->ek=PzDKKKdBv;+NIa4wo)1cSMY1X814;;#&E4zWj-}MV%o3< zQ0)hP6Qdif_mbT|?pVc6f&y`aJK%VV2n|IPmngpLDc8yerFbRjKS{Y6y#WF>x>lJc zR!5{P7e%N_Es6;UfpYfDe!t~`W6p5U_qOaQ;FOi#ITnE6+T23M#$^=vq2YA!s8@h) zOYiEE!6yTQ*IQt6^8`@K!wm}A+$V!(+UuBUJ2NYaBCvQ4%l5G%OXsisZC@BG?_K%S zwz-r05?Q`1!G_F=mTDb0N1a@Z_&@O&#PGC}P=l*2)Kaaw$FWA_=)M6uNd~hl=%cz_ z_8cw&QmvlxAGE9YD68U>BI_=2iOTlsDCZaOgRnw2nbfV;GT9Y4D)4XTZaOUV04)RB zSqyW-+hDl^jiB7l1tLAQ(AwnKbM$Rrek|7AyuDaYvk3s|bBC(d05?GmHgwYdNdkeeReX!v{AwBFUAyBB#pM{sut`c$$x!!nt^EsN(K{-1C*o-?H zlS&kk*h2~CJ58_>7$ayo6!->AIMD8rtohh(6yBp}nH%-d5xmDGuC5ceO3p|}*`z^2 zJa$FBuwdK!?HtMci&zJIR7skm`33rmfSyr@@;%Lk4vJOx(5mRUfKKj##qnW06(x$6 zwC!R{OMm~s5HKtNcIs}<0&95!c^YLnB)DOBJ^SO$ zn=rTq&!76oXI#sWM)U#4j_aXogGJ(vIg!Ikf*rz}3!x-6d|mfsma>FQGK}LonkA|J zbE8nD8UM<(57QzPUmw(Qv?~3g9{slwxYB}`g8F0U)Vo14hWB5UhBl63CsX%p7Fs`T z2D8+4jbS0zwMK0z%a{2|P;r*Ve8Y%C29i&kSkWfcOd@u%Bt^BiadkhD+T~9sGa~hq zLv9M=UET}`H}5Vh=ueo3jHogwwsu6wnj~3IEL<3^nIpbLChnKFV5!(-&MCg~v#~x1 z9J;;IC$~33dZhY4skwY%yy7{DjE)JfEsE(Tkg9Urk7iHX?(nCXCaL zNiz1t(xcE4&oj@LbWQ%lIIV*_@?*iI)%l;EeLcb~sm({A0 ztNjZU?sSuFixH6fkkN7&&v`Jvc<34+h*bbVQCBxuz)SGRc?P=j*o@JAh#{z@XT3A( zY1z-Ws9qziUFSwx^x}xcHS;KpLY-JG?%+DrwsPLZgV{Z18ec-%?yaiovBU{HLoIt) zbMp04eSW2CpUJtlQv&3N5IHaTuq&JstNWGITTMeX8mDW~0d>?MIg4e!hcN)40Dk~| zb0ytN@bIZWsFFKdE2>;ooFSr?iBdjWu+c$x5N8P`?>7~CmHYyY#bCl;9mWLJ6; z;foUa?Ee?3nd?yig2vOcPD`JOPeJOXymD07gn-Hmbq_en_ikx;qIu zsq|Jx06~hc>sCh)n3i;qey{-3(?(vONJd}1;QWSAXv?Qjfec)`QlY&}oAF$a;5f;5 z63i$A^cKwUL!@M5L}kbNQCP307SXK%B=sV1XwUxOKP~RCGe0l|M7Pn5g4QAfUFx|X zv&Y0Ia?tZ=A1~FeGD5dip%kKL{0N#wXx&WizNcVO`$WlKf88cJ9p;pqxEu`X|>ZY9yo3Q;($Q4U7KX$G*#Qal-r)ndIv zY1GTZ)$+fY;j8FUS6_p&#nEeE9pv})cjn*u>{wK%g&!3osUJ7MKz#RDCEw!Weu!MZ*Bv({-a?sjAdc-!1asI`L0*YmUle!5 z%78WSbK0Jo!+gXR`I9fTD<4mOmRm2Mbw^s~1`snT{ZXl<%>ZC2kbQu4IuD9T@WRcu z2-W0jDq?qF@!ozM)&mDyt(*umT?PKLOBJ%a8F=l zmv7f{hm3pj+*l26X10Ab4puOqWf+VsZxm4^UO=LWMy7R7OtY>Dd;ZD^YW@z)#Lo-i zPT=lBA}OJ}KZ+v=HfR62%<(ggE6e_j!uIH7`-MaeaA3XDdnZLTr6@7Q%=xZ>^eDOi zf7sd#1?d&bopfJ5wn6deCNjF_HiQ5g#&gppUg8rhcQvmF-xObHv;7%DVo!mu6yqU0Ta zncR^jM{yCQdD8l!OWz9+O|Ko4=7Fll}*R!rj zb+Yc;(@T2bhtR8T+o)}-Q)L&L3H5kwO6R`#(=V7=U|>?m53S1V2Ap;ggFv7>Z=hVM z!z-`IYnw`&amVxQxfZvR=LbC5!sFm}M~iQvJ*TEsv*+6SZRG#+pUKKLtkLz1@E-U> z=xSm9<9=q7Rl5PwBkH9c75L@uCH9I#Hm;+@?CwQ?6pO2%YD(%k;Efbi&3=V|+~dpQ z&;*OKUKJFU{pu+lBK|LI3xFXPa!}<(B6e8IqDh^6dWPq9OCx6j{j(mVF6E(Un@HyTYtZlNi3f&g@149A6)0yiXJs@8-OV_mQh=C3m6A<*oV^APOA<%RiAsck^Zd^Tn$%YijD2kHP7P00m?+BBw z=QPWU&v3;X9JAnNJ^c1#n3~gxg5df7_ z^JE9P0KKl>d4RYg7vG83o2)}2wwhLS`tH4A_ntqb8K~Y(C`Av%bj-d{y%DDi`Gf-tg?Mdx zINWUC<}*GI(hAwDQhI^Tf(iy`zup3HI6#i)1Jo56U$G_7b^ni%40a|6PHA2^q^|*4 z4l=`OpXRVe*q9%Guq(zE3}9NOW>rs-sitOJ3g89ayVw1g_^GDgsu;>B55Y4p?A#PHuX-!ap$&~3s!k{2l)E6!`d*EM^<=tD z6SbO2iK5+uMQ`R;lJZZs*+_&SvNL;zeQ@0D!pO%?e4HIcB6opGS}Cu+e^zn>p5x(q zPB^D5=Xb@Qx(7U&dw3g=ei%Q`83Raf7j%GfpLwtU^Gnn9`U+*%Ge0>M*&FpFEq;1U z#_jhwz0@J{?_6_-+pX&Hli!#ev-~L=@jM->Sdc2P@UVYa@D9P$#jdW2Q=c5 z?2Y_ya88sk&4;sB13=&?EqE0QB9hZ^B-6UC>o-5!H$G9gVkbwDT`t486mv3MzPubg zX&K`!Hm!b`=|;K~`i%b#lc^okat;y0CTe-@C&&1^rE+8$1_Egx81<0PnIA(6#{Ket zVYY>So@X2g-krzHJ@Ye0{0cr2?E;b67;9lIY~ls{82L5%@U%X5ANgT{=T9*AT5v0! zXaM=VH4-K%*>m1Z{*}Q10n3Iqpi@9!ompKwL zs2`qY_N-nV*uTnmh8=qlFi3L=^wXkl9l2pkfxu_C;sL6Y*;}iQ9 zP}@Dau!_oTbBM9P8?vk$R~V{Ygz0W!mX0B>Tq~_MetjjJ9rsc~A&kwBDc_21Bbtkk z8D7t0LK{DzNth{8+tsRaS`h5mKX@%*=kF2kjrRY5II)GEaA39Ko_k7BC)BAkCxvwy ztw-U9IQduZ__YXZGCe$XAx3X-vlmrIGTVNv91zR<@Ra6uiEJUi8OA7cZO00h=#9D} zpmWvfWLM3`r5ag%dGI9k+&Otnner50UFmt*vLbm&y*aUZIch6u)#V<_=(7fhuF8!@ zSx*AVPgV01RX7%0Ej078OBtPb`PO!qkb5y!G1JCh8!{jwB)rQlCaXcloJd(_w6xy?EM~4E|r}Wok)vb4m@?o z+&7nD@38sA;EYoJ807|Ir`&xgzw*#~;`jBF`2faN^x%Tl4*sT7TaaxzTJL}hcQ43E z(_0kTVgFPvo*baZ z^WjFs^HSun0U?rMgAsTnK!@m(>}G?GcHkBTTr^T4Ap$!(_Y*8L*T_u^bViZacYfU&>j`G;R8&5ce?F{`Uk8C%4^p_#g!WUb2rg&tAx5tx) zT7KH$(dNnAK(K41BaDvqnrEpb>w+Q8qb$BV72;?)pa6yK3K5gMwYy0?UBz*{t>#|L z;&(09{i<3sxz?sLC_!ey`UeTWhC%x8L7EL5%hhv!K|Q!+mfOTLhalaU$QaG|Nser( z!5Z9Q+fy~6#j-s-xhv-aA%JXmD%~FuN0O*le|U0LI9hwDW3Zc&yxAwXi`P`x@NLeW z_sYL+8f60;Gi1sM%9yzcXY zR~4{Uqy87v4dl_oj93hZUgcmqj;3s!b7k-YtVWc43~Bkt1i;OXvFOsN<8Vq56YBLWWS zxkb~C4`60@oQ@W~%!Y%G=g1?fcH=Un3l7}nPNbzHBzAz6UL-j;>Y3NaDAW_UV?b{( z7+Z6KQx1SP&qy?kcVD7N&PI`!F-D9ya<#sQ}+8;*`@^@it8WsBOnNtr}cUgK_; zDj=)Xk=K4f+g(Q7nAK3OGubP7dw`v?c9=Iq(ml-(|0)5y4X~KQjT{L<#!*(a=;Q%x zQ;Yg!{DVdKAs#$E+GSo*GW>d@y}M5DcqEYNxKWgtu*9vAL~ebS6g9)o0@PDB*jKe^ zGxU?_tP<%44de-`>H4gx=G|2S+hcDf05w4Du;G+(qU>}0TzsOa?CW#D{vA6W+4hn? zZhC_fGa?IKw->hRL@T&K{V`Cc!7M zdg5|ZVD6Bymy9oQ1;$cZ<$HIKp$4``v!8~(({e%Pu`-HgbJ#QZ+)Q6 z7PW5Q;n|pkMTaTmjjQ8Yrf=B8Tg{3uLpYJ)o9M_ZG5svlHA~u`O#qRV|F&0x_&qB> z4@#|$|9Ut+Vh!JxJ}Z5sjo>| zX48x!xX}byK5l0k13%Xw`fG8gZmIP5ZSIhi_cFyOTpJKeU`)D5$0rNj z_HT#!AaVu;tVV_H9RB{Ai9|2R_2_jKYKIP7V}cpbDrkHKTAhWqbYV%7SUVm-4nX0_u$L5ay33_v?j0aSELLnm|6ItoF9E%bdXMB zr(LI$oNwW%vRp2XKTi^F@2n3ylR{2B9BVxx0Nk}JZ?+B&Qr;lYCbx*qd&Hg=X$%=O zzMsX6k2@DPegfLy4jv{ZJMp{Ts&~)Lw1K8=)AksX@kkKNDZ1T1Tf+NC=kYyx^p9i? zF}fMKG|_O)=ukb>n4MBkthrtj1Kx{o`jEA+o*T}cn1Dk;%ujl{Xe*xIuLB#zAO9p% z{|RLyq*Jd8JNMK1x&Y>tvi&t}IL@|?4f(N}>^jY}I=1D~R5=nF?8vQRYn##gI*B(w zG0jp{6m* zbdOP{M$`6D06L85-Sh)SaTna&=uaG%-KdP{y=9Tjf57w}Tb&xpTjD|IrGGWEgS zEZ{~v6yMTFj^lm~!l%#H2S$Ejb4s)s8w2EvDugpTyR62dN5)R251z8lI^CANQmkNm zxb6FCjV_l47e~q4-A)QJj>AEFNaey={GWjZdLgF>SaP`Dz~lE-f=)$ly?em_1iwjq zI}uf1cw)-lUWTtswCgNiIyywcK_Y5+%KX;IHe^OPY&jb%^Hft|lyc zK_?}k4k>vh6p{(o7#^<-6(hiR$zp!#!)jusKBcI7dYznKDp*l2n~1bl%C>vVBBOFF zxEh;_b&!mqI?7qC7~es@Gj8vJf1QQV7(mT7OK$?qU*fO zEdAWtJqce0NNRX$v~fs_^QwKBe=DeTpyyR>jWZv@qhDOFEO6_x#05e$mF z2gRW|VtleSt*6zOvfDP96-BE00|zQ>Qgzi&d5%_d#yob?4>N`~@NB3d*U41=suuxB z=8cy&MgHfuAN!nx+QXo4wy>ga-0N@pzDGV!7*GDJIIJ`fz&NpD7LMPnJ!sFGvo+HQ z5&em6fVfpFaCWtz?r6m{=E}0R_e46R27b;7C*sz%C_+dZs6EVliR4aDDn(N^I;>1^ zs=+ta%T)I&KAAIq8WTRr_t~aK9Vs%_j+J51fQta%#5@v3b=3Oy< z>0Yw|F`H$61D>0&7+!cDO7Z^i$~&>zrZ?GJ;;s+>UaA-S`n-WbAvC# z3|K-R-pF0f4$7$W6b7d^XN*IHzOFzT#cWiRRdp z)>dAJus3B(LAgD4r$`TILzW-{xloUY9+{CJv=o-bt|#zwD@5)K5Mi} zYJwDd??okh;QN%TF(sJXKIzv8Uj@@(9R$A06S155@)LueSk!|BGww3-g%C6Z*bhSk#2=f?5ZGu(^TLL(~ z3l{|S7$PjQrmZObj=U*{Xng$H#^m3fjf%=9s=I zGO0nrvc;a?l{>C(u%v@ZB?>0mWCsUDvn|nxZ0Vf@cf2o15go!x2~|Pl+)%`y`2qVp zdd7?wrxNp}7Ox#KlUzv{TcM$QGH-WDa#jfDV0Y6EHbp}F`}C+>h`IOWN&dIkNoSX2 zu^=kt29n-i+TiR6KMJziop3|_Z*^Z!ThhEX+S${!wMA3*RHv{DMinO;8eLJ~S;6B* zVybcLq5;EriO5v-58T4$J@mnUY-JAAV}p}4eE|%<-KEUt?YoiQ-9Qq&Ah`R{dkLdF zTB?}rPJDy|JEVedvKQnzWQ+`C@d4N0vAula{R_#07j0|OXga3Z!0=QTJIj4IG_xt0 zb(9p!SWyGV-&J!r{AX{0osy<6FCvqhb?W*}6|a3^FrCau3z4u?%Q=%(@9*p%UnAO*aJG@#rd33JBYGRR1EvGW|SIXiURwv zakIREmBO}V)y1i7O;Y|pWV!)mYke{GEEkyL2rmWi=xgCFK;SLsdR&F zON``+qfjEtz7@D(B7~N}@A}va20$5uCgtoIDu-~5lmMG!=`Q0bt^IeDbXrNSox=@L z_Kem~Rb;j>R6aFO2kML+*a;&hSaqjRed;n3xGiYrL@HF2lZ*kVRWXHY)Er_s=RaHl z+&d8zUzx&XliXiwp=h0M5aOv<9lI$+J}EESMfgd;h@iZWSE1e3HpK6vX zKPzX56|1f&p9ikc$$Q0T^E(YLx80`^)pGb@C9!P@eV0nkG%p)*IihX#1dL*lfr8(R zF=4FI7*`ECs>Kzw%-@E-^|{$O)gNNGp1j-8W~NWbs9$VPL+AxLR7XS@cxd!j9+j!> zYMIV=4e2b9ljt$aNESK#ju`BNxElzQ9=Rfv|Jo4DBN}X%=ZqHM6L>NSv7y`II;sjy z;A7J>F#OtCjZH?sksu?iV0m_l*DHz`H(?05m5=~8e2Z-T$~N;~ht{~a<44XgYanV@ zA*7==MG3i*D`VQIXit5)<$e4n>oB-yo%C!^9Eh5UdFH04 zt52~jZDr*!pF+0O03|E zxwh*=AK-LAc>4Xb5}rBhYkB6Io*8h?)91&V@m;c-|HIl_#zockZKEmz5`u*EfQWQA z3?&WH-7VcPbV*BhcXuO5cXu~PcX#iF*L6S7d++^z+@Itp3)V1e&AHD1kr@@tJ2%F^ z#N#W_VGexJhNTNeLdJCuRW;vm?zXxosyg%5+qQ)sB%P56-Ez4p+td|wWX}oIOjFJD zAU>L7x|uYXtS87R4Yr|&w0VdlU2n#OoO*tzEDJi9jy{}7M<>~@X?2Y}a8VEkY!-rctI$?*AOg9LEtthbk3$8mwzqVo9oX9gqkND?? zhgj2$;v-zj^x1b`O%&db&n~AL@yL{WSnIeAd-f%;>*!Sz7|y<7A3FQ8uu6WXmN_Cq zoYOR1v3Y*?&vn@(Xmy+YaX-j^F9Ql$;?DiN9>s6t_{Bf_9aFo4o^=G8Y-kwHEL_cY zEL+K1Mw9V&s?g~)W&WtKmm&46i$?WPQhpip*k>pbyu7_aAp8RM`aZ|1mb;BIJ8%mo z<%5k(%Y?u+*E3UN{#hv$Et^KG@`hv_wjYNWosyar>#cF%tgRLR!;~}{vItpfB!j_b z9m|94r%_I?4L<%Fx`B>AJ$v{UZMm1QEW%Ee)y~6hE^2ey%Bt1NAeM|gMGGWmx^hL7 z^n%@{-_ok$*JM$#isi?52@d!wYy6(nis znU%>_R(JRzx1YpXa)wr!XI&m5 z+pl2CqJY+=2~lAg1N*{Kq#)3%iWfL3Cx%|jp$DtQB1>kiKAs#C_+BVj1O9GM@X-@e zNK>XxPO1bYnfA9tXdW{6m5^ovu*IyM$$YCqOJxThSd}0&NMY!iRNmeq?B$6(s10<9 z!=b-<41m0t(Y8n%=svL0`A`7_>C%U?RG>-9h}?#YYX=(f#8r-9l{HuH;P{l2PPp2B zFwfk_DeJ~km>!}UM9k@><8||Wy9RjM1TzMWw+ntv5$3RbTfM}J+hs8tu~9#KaHJ=sQch- zI^7le!f>E$XVsbyah>MYD19D@-M*Xe0cgRNFo&&7a-+k&Bbtio6xB9SN{1Bm0TX>DOG6rJOXpos4+y#$y z^y9p$u~0dgT>cB7C}puQy?L%fI)N)&+34!}V|?v?Ir5f&6uaB9&tvv`mpq>91_0@( z9k}rg+TudnY9d+0tiPW?_o-nmW;e2&+evjOIHc4Ya|a_F0R<}Qr7fu z$DI`1pZ5PcJ4B?75{cb=0K2aOyl&;$fa)A{6$I+uO$omKX@QqRQZU2CwYez6t<#d< zzAHy3P6EB@R=44)40pAORLPp*XQmgAWDB0``Q`bq8p0vWtqCmd1{aF^@0V-hbj}79 z2y7FyZyphW3dM(EKZmawhLtq#8*z~7)YBlF*#b$7&moyVPR^uKXJqQs_|I=Gj~P9HG_|15Ey7*3I0JsJUv*y80R#rf30Co7iX=0c5X#qr@0%k_X$7d?po|~$udp< zw&PX~Kjw(00w}jFR2es4tQ#z0F;n|~>8p`wZa5XK0Re_##DF(#KxYh-v6Heq(w@X> zTHKS6w!dM#JJo1ZK+^hcaFpN8HxQ}z*|0Fr&op~DR}B7#F~f?MNtkn$Wjj%Ifl{rI z^=KJO%r#ri^Gf!lb}d>h4Nz`|-%W4$f}I6FYY=v~%UHTKK4t}S5QED~s6Rm+JbDi~ zC2~;TY9J_2@PN+roW!JIo2UMn*~S|$4-RH6@M+u|3C2>D6V<*TboexQ zQlc!~cz_5kSLJH)q_(S^a2Ov=@=LdE+w%1vDka7;`@9dBK;QvFw^#;P+2|F<9ULeB9 zhl`LP9F4k`6#+Y9j>fO$oCe%R?ehn%E(Tf7dDt!7X}RWc<`5*%WV0>(CzR3X3yi+1 z*QPyuk3g}73syh986<(>gX=*@lajB*s$vbbyyb{-xjX?b%lt*L<>qfkPx1Fm9y{gb zXv>Q4H}%QgQ3u36P7To@!<~Y<4Ei0C$vUBtDMx*))DigAI|tZ1Zhl1%=hqrJfSvRqP=&`V%yFH zIWmq!8tB0(AGSEEFJhsQ1)XSc8+DN@&NptiIFYXQZfx*ukzwmW(Gy(S4};9O_AIhV z-htsHX1Y*?Mu60(-R0Gwxvd6G_I9%IDlbxX#mU^%Z=&`w{!s5;g<+3bhk&8KqlT-v zVW%Zc`(a%0GAY^q+lq$m=#ph-C7y3y!XsGVxd3{CPKPUm4~h8Qxk<+3qTqh3;bm1d zV{3R0K%WofS760OP{q5;IDTN45DAr2#9y;{$Cn$QU#40PXd;)2b&VBj76R9!Rizr2 zI7Wc%SG%7_i2){(h&_-6A$!tgzw-mc_p*(@aPaO9RS1TOju(gJa)-dXZSH`zV@3`! zjYX$&vlX4e&LFVO{(T53KG;-&2`STMcpO4&Cgz}C?La0zg0~Rf_TDD>U555&9Opq> z?yQl_R`)`sAw4dcKXaebPY@qN7$~I3G;KZ@$-sG$WrS)AOOa*Pplipzf%fBN&C;%% zxOTfaMzx6gE z^=G<@t)y}1-T1S^BQzmMhoTx4g$AZ-??#068 zR&3{EP42OPTYb-Sj#+mn=-6A7mla1PFVVqs?_?{s+ z67D<}Zi0%~>k}qPkHJ`_4tlzi&vXZ*hg{5X)<^W@0KhP8>G-c_tCZDHd251Z{m?Dq z*9ABpLq?V9*7a*z<%7XLna6hX$ovzxQ2L41TPcR3V>l!S9pCzCJkc<+c%Bu7&<0%` z7x;aXtTLLAC6*J|S2ipOCu8N{>z5J~N7{>Q`*5%1HEf#78&3)~jnd5#CZLJ#x3HN{ zb?|t0JasKviRJ{Csl~WOHC2E_%quhH{ZQZ}!R%wZM?Fd|ht+n@$@qF<9gXSEaq^gI z<2u-3f3f`g9*?Eo_h4nUL>o7_EA#^WcNbsi_<+_*xTU_)the;AmR?7XA{JF?iAH`p z0rKnx#-Xa1CSXrhB=(g(LxFGDavn+AUQborrY#egic}OXnhTN}9-8-ZeZ`h{EqBGg z#nFyQ82ZWfg$O}S?TO(rUv`g{4`T)LQm4JhT^WXJa` zr>eCz7Yr)jg`J6|8BR~2yQz}UDvZqrm%@tZ$t+yW^;M_Ih85*E4!q zJA-$5Ulw@W*TP`v66!H`swNF{_pb4PYw(2}h-6rbfu|rY{r+9uT$Em6Q+nco{UaOC zdwN&lXCwFtfpwMo8{KyO5J6^X^;_du@{)|~s3)#ppR=le8a=uRZ#exVl=!$}Lm0xL z_obhDGs?|=!4s2n-#2K!1g5?PgYKQ}_Ya}rn^I^_qI_bSPg2}>{wx&0Fj5&gZtT=& zm+XTV(^&ohS6AeeV)zd3*Yf0b@^(VOC~A8I>~jq4y?weZyN|g+@N{9XR_@a?9HWrR zi2OinTGmd0IsvwGw9w4~vIdidlC*Bh2I6vJi2HP<(B~nUeLe|N>2vZtOlrM&Zb1jZ z;MqBzv6^=*3zWEz4>c*h9*M&}X5oAWZh3P>j^I-ZKI*DZ<6#eHbRcfXjeXFf$^?*R z0p(aNs9T0_If3mYlI|`g;qkhMyi{&{yY5n;awn@w)j({nVy-s4%Ulho)^ep=>z2|Z z=cL8s2KhPT?k5{Nizy3s25qcB$RPFvdde-rGR)q+XR+T-X%by+llqd}rHTaR>K41C z8F=`sZOeO8hu~8h38nj;5;3_b^8Sq6(`lWaZ+cn1c)IN$t5}S)xa?a5Rry7Umv7bh z5+(zK$I&kEzX+o_ed!+(VtPm!q#Q{sNi_Vh)%U5(T69AY5XT9!E7NFKlJBq;h;az? z-xJ;R3d9iM#snl_Fqb9x(d8|Bp~z@|89pC;%XCJecH&)dbQv5fOJc;RhE%NW^jYp% zFx6Y1)K|IZ_i`I~QjU1iOM3WMKl~g%F$p2G6fT64Yrv2k_os2EEix|a?BY`%%_QUv zbDE9w7(?MM`s}z(I6=+9*>;^dN5r$!p%igda{yif#qm*D5KD|qw+K(A`P9Mp;DGWe z*KWcA#WR&yY0NneM!dW@#coE~v%*~30qe-K@VOdjvzoN`2GJvo`^H|@<%4c4TlY`0 zmrm9Txo132J6k_-#V1=nR-4FoIYcW_tx6rEZr0*WV zfR;MCAIZ;zzt`76ws;Llndsb+bBjwhaEaF4pV5P`Sx3qV@-u_)gs4m(Nf{00OA~Djq2FZ(**W<1q zHgoGrd?Jlz-cI`&zaDn>tA zrUqGM^LFBq*jNjp7U8Oh4*QgndPL+{`>>CX$0~g8lQbJPEuNs%m&wM$U0`XsAm1V@ zFy5^NK0LO`nGEOlxI#ULy$x80IfqtQE>P{iPnU!;;KxxLJ4FkZ;`2Y=>xejD|-NYHisU&RubQM)_*>fHz5 z-=(~od$(8l-XX^F6$B~gPBA@-G};jCw8ow9pSOnvL?|3Fjd7oiEtqGBlFIZ;Km?Yj zob^2PLghXVg|IXN94dzdWJN6WhCQ`_fx{xpVq8=ZImH|^#SM4skt7kw zC)Fcn-mgMaYDa%_wy+$uuYe%=w}N+-X~%oXo^mupJ0J$Mkqg0Yw^Jn%f0K7ucGg&$ z)GmobCOO(!Dq`V*CHup`_N#T|Z;A6R84LywEPht;$8~16eLQ9v_?mg)%Qfqp5vlBD zj|JJ&wG?v968d=mQH)q8tCYdrhs&f+JW>qmgU19mEjyNb!PuOhwVJ%Xl0saj6>=&i z_au9!64mi&bRAZPa9bt_M+T5J8o$UHpar#AorkooZ=zT6e{~;%q-4h0>(L*T!~9 zgZ#2ci}b3hHLINGV=7vFb`4?V1D1h}a{C3yMe4kI4Ly<_mo;)MOG@Nm zO-P(*>d@W#B?ASr#zj6g9-C1mTB9hiBmE20Q025(!qi8Xx>VF$I0pwrO3wNrTI8;0 zlMgC{(YOyJ8*XF*QegW@?53oigP4%+CW>z>iaK1@V{}DEVo@Jkn5)+>VzNMaMf@)V zG)do(Loy7<`|6tg2Xu}GpV-n1nU>3!kynd;9g`;UT0H(b(Ml`Z@@h&QX`+^Ec11~h zxwM0OwD!P+2}c*vBQIc&8f}Uh(|x!ma3ASVfg_B{0a>A-d~@ zM*ZgB4E057K=xWmlW`Vtu)o={n9&A|AFFPdT73c4PhiwMaPIMsE%;HcH_0E<(KH2O zCFX50*5Z&%Rt%Te1>&+qUmJVuk9N7@Mn1Wntd^=89WN+TDCx8y9&zktJ}seA7(fjP zv(&r1kEh3$8!SsqHJAa^6=Hw7*(Ia4Aqs9P_2v*1$+0?2fw!ccUEgJU;p>0US|K+3 zWj(CV{J8%>h8@^(4rhe((<1We)g+=wWkA$zvTu5lW}I$qK+lKT3r*GpE%9wYw`Ki# zsl;y>8F{YtoQd72buRD2r!^K645ZG`l`rm#?Xn*P)nDL??JeNc@u6cp*C15AYVu~q zcuBCNqrQKIWiw0YUUM9od7!pRsUE?vYR7UU$Ix=qMn_Kkppc9BTvn&Eemp zc3RbwsEcgV{5W8fX=Ix4B4Dfktf-QnW^-YAZQN|$$V(9Cl{KrSz%a&oYv?VwB`J0E#y6gpXSkCW}#V+PdmC~t{6KkI>GE|%HM zsN-5jm7?JKr}--WnWgihhvNIKZ^#|2oJ%j1=_P^&S{ax#i}Z(e+!p<3u*2)~fD3>0$!)4PLy_NC zpcsJKBX2?k8{_l>d>5|&n&Q|bInOWZCi> z#Tc?6jE!lkdBvc(AX#cmHkYI~j`f`MfcKIx3aI{ApH5F=q)zv{c!?W>9neM@>hFdyOp^&-U=jYiP-eo#b+YRuOYXp z=o{9+aDyaC{w^Q=hT&aoe{&k{h7)fcO}4EbMt0ObT$sG3%U*_ES(kTKcYK?gX}gQ? zF{8G{#n=kH6P+eJq~ORp5~Z!gY2$|6c?CD02grE%Q-Y;jpSJj67;;6Kzzc-NCen7z ztg;0V2hwS<9S8#Z&R^%7DAieG9LJvu(DYVx#@2~?SK(8$xTAz;Xhb8L>egH15T=Um zVybZpIAEt%>zsjz@15`dAi&t;JG{9A$Bula$pj8C%rJ|Vb~DPlH2WcUR!FwSJoNOE zQFPS$%x;4&&kjgEeK+gFhXV{hsvdy=?7S;JcG~OAJyDn8BaL3}dS{jw?lt3^Bm>@& zfx!II7hM#eD=0K-gREfJb$FL8Kw|LnkrsW7I6kS-)yNV8FNY?-6M6y2^{6eW2 z-de>;Fr`*l(oVN+r-L~=N+3N2)x?j4(3k98tE4y+9vpo8k{_>-&8v4;V5mcgEeleB zbo(lOmcSzk`lw!~M4gB3^#Q{J)$XNU`}g&j z**XSn4S!BXmF5Zm`$=Eh7-Va*lU|BBwp$y}@ErWvcW>?ZIT#PNW_!m$FW7r%e1f~! zia<_wSZN!OQfq*=pm3KAk#J0#*sJ(l{VGr?TY&9&CP#T8Wg8xOJ3dW~L3qFpSoGUPt|fyR7G^K{FiS1P$M3(d6Qz5T9{eh0z; z9S3%LgQkv{Wy~c_QQVU=c8oubv%C~6QsM%Xc%L<$Y56thjWGT^E{k*9poUfDVXv@d zt?yRl>#RkA?Hh-nzDrunnYvTWk3w@kP6IwFG+C}AUUA^8-m(_DX5)6LBAz)Q<8B-^ z=Ztm;Wr#1Wa00jk0huQr>Clj$frZVH^&L)pQ>9F-VOuY+M3Yj%D{?WrZU5M}rela% zFQEFc@5}SLH#w=J<&6OkbCxN^n`JgKL%)Q+RbWbRv;7Smqz(@}-qor9DlY+D<1Zi| zy-Hv3xB$vDtKkNYZEYNn6!h16Nb`c}m*UNDEI!b0q9>3H1B4IH$CZxguA80>{rDG* zpPk^pw+g`jojb7uN|I5}hABSQ-!2DnNPC+MgO;Y{$n!?=EO*9vV$6xAe*d8R=hzvo z6Km4F0Jgt2V>J4UsA-5edip-z?QE0|r-DulXUIiG_(BI4#$@Cs;)6XLT|--{ zu&VZIz|N;mH%#~CM;DwS=2a6=-W=8vbNx;QlwlXIN5o@cnx7G^+=&vDP(kQ4f{FG+ zq=-AcHuM#vb-{-JYt@xF9W4Dx2Ux9BxKgoCjq=sA?>7>~Hagxd>(vu3wd*IR+z;7C z*(K0;yUDg}G)mE-#yu3)K5D^Fyk0yuF(UX?@jc!uNS*OB;K~V7^S2skY>e8rlRugs zb$z-mwsU-aDrhm%(g(IzF~U~QSpV{Q4whHhkd|tafiLB|4a*O?z#h8wiB=fIOWiJH zjY*}=V`Hoy>iEJ{Y5rjK=xPU7^5r@zGOI^MoDGCFFHR4Vo?Y-%hl2H7y=%;uGf74U z6P4aMI&JjkasKzT5U27F+@B{$57r^gC0qdX&nmM3a<91WL?tZy9ylK;!1V}IhYBdK zo-hCOrjxy z2^}zdt8#oJJDNM0#oevdFFUes%Pu)nf?paqFu7SI)OUa2hC3Bqi5~L4?>0De;ekq)8) zUuDw1xF?)d1auD%uz>x6?PML++mO)QiWxk}by7Z+L$-q?{cOdbW<0&KX5?#pR+A`z zykLs_9^(A6-vDh607OLkZ_~D)jQfvpxmYb{tK*hHy0DEI_t?9GC6@V-$2EQN@W;@( zdz!=niE1RSYNNU<@|A(FxB@E0wGDQ&VX8a$HKUDkzV{^O#PKPPRaqnc zP8AN06enc5&8xm#R36e^c^jY?F%~_; z+1bM#r4FpQ4iE9@Npgq{Ie1KEFlO&>}Ukl@g zQ1b+yHGkl5R>!33aNB8j0~;hEc5K#HahtKT?XkXhq*6U#p^z`brAjmAfIl-=MG zPaAc12XXEBE0b!#8P=0Xnd&tAsVP*uZ+RFVBPQ2tk<*m~Wsuz;=}`zZr!TR z^K@Of5j-`B9^F?-ue53VwSGM;*ilD_r4Q=l$c5+%g+{UPUb|PD4G5Jw%q{-LW`+g)|AD2mbAYrMSm8t6pAhXPHnp zkGn?t8Eah~b+5bh&Duz)V<)ts4!C11ukDJQ19;Wr+hf$raOl2<4ebxrJ%89Uhv#g+ zVYo&ZKS!Xzm=3#m;1nhJ@_7A8pzXS8#f*3DY`y;6DMg=7jn!;qVmoQSS?}|J1 zKSYgSyJ5t5?%QPVSJIH~t@|ACfw-;~uMu_6ea3e}1r!jXQ3Aa2unl!shz{Q714{13xnLpOQC|O+HXC3F~A8Y5stL6ufjVMeye8J1o zc2dAv%6^^uqxuxP^X+k89X#UNt6|nP2oje|Esfps+$Cmtekfw?K;Q%kF6b9g)G{ri z!Q(0X0P#YD_UgyQ6Cf^Ih`$@?k7a1FQGTc4Jxxj zr6R&^JUFm?(TbyfdZgxF2fwk4x(P`P<>EK*u!YD;AZ*P+TOfF6J&tcj;qOIGU{_a( z)L3I!)`~vedpsZCRPo$12KTJDKRgj5qQ0EsXb$6n>)V*jFiYw7E)j z7envI>cIf?`?N`CnF(WQZjq}EM>trfa?914Na%h4g;t}Wexn{A8GHKggs}{F1bpV0 zw&y%~DVtjyd5?v+pU&pD+iSqWNbHYRD5c%jx(<+RNUmRsWi-I2?n{m>eB?tv&OZqK zKs^ya-2Sgckm=E3K#-0gLV#Idt~-ReegUcR&m67#qy_WnV@xw!$A;spu-uC4J!>de zmX4c{o;d1Yqqj*HCvvZeNrc{S-_!$v)xW75a6Mt)iPYRcQtD)}2+r zVaca%$hLHvAG})`yD#o08J~Lo#1v^a#2&}l^_+n8w)b-2dlBTF4Jf}pJvV4F`5jN{Z6`Bw?^i$oryl#>*>S`{v~$VEY^cAEFnp<#edw$+UpSFYU*2Uh`b{ ztqUF#_bG_i=R+#Wl|uKzyWd~$Ipa!(Blv~>`4ITPCPI?W@?fh_2JDdcjL5Sz*6lxD zl6qp1?r@2O=AQQz81WT~Z$0KZH@Lzx<2hBW{Di+}>Sl|-OTE(Zz5h5VRGd5Iy4l2& zw3CpxQ;d+6M_~jYfLYD!E8O&GBickttB7CTTZN8AY7-4CP(y0W90`mBl=!a&5n`Dx zlfsi!r)_t7U(AejmxHOaJW?g3G9uO27Jv&DrFvCE>gp1+q*QnCXuJ@>Z(Q8qC4^&Oye~1XUtzy>^8l-{y|oP zp>mZGW3n2*W7$Dj9!%;+BWR|Rf$Lp)`QE$I!_iL|3oZ0QhH}g5g^_Y&KDzN)o1b+9 zpJIcajyX;zUKO_~?>vutUbZ}xDXZ=Zy094``^<)QB}bQ^O(wiz)?z;%nfuYX+=gx$ ze5FUPmdBF(SzmnvM3ClAb@%%cvnpgH++6;S3rOceD+Vqyo+ssFGS1mtk7ADd?!aK#} zTBLrP+rRX~>ZFUkVbt>zlRSr&j8o+>e{-rp>K>+KMWer06Hok}k{z#vR{eS>$NF!Y zLIC9#ZxQS{YwycPrU~mlPp>%9PdAbZ`a)~%A4wIqD+YU16x^+zz2pucYTa+#pjO%| zI^%Zd7-A!4ks?b5s6I}Vj75DjbAfZ;wOLZ!7nLyl4D;Y{vuk5>v{Tw<6<|7cr!(Mh z;L8vBiA78lrZr`XHE}3pb$gM zzS#Nl`=-dJ8-Hb!2Y~y%Q^2QV3pMQ%Zr5UH&3bedd{uR@BSG zcI_YWi%yHe$8ktBBDj4iGRc;c*(3q?v;=L6aTCToJ>j|UW>^=&7|!_J+fZm22{gUY}y)g~^2^`zhCKYi5YyP{4>Ae2!wzT?kA`Cl& z$FEMQFG~zEG)l8wrQ(%U^v?UtlRKl(DfV;Gk_p+9{1}kJ(x+Da7vY`Vu6)XGrjt^r zW5-C5?Pe`PPF@w0bWmz!T{HfZZN8u*6Rpw(V{g2mUcHG2j)ruo zAjy_f&vmqQ+ywVY2ALWxD3Ee*B0M%E!qSmK9A8BJJLy3{n(rx-=)WQSB5!mjw}Y%- zs5@y0rouZiFe-;Eg#%z!|FM9)0l(|_{mrdZy(;h^kj>c|>_^>77q0f5UsPfWGhW<9 zetS4PqFbCtI-DtT+qN5Dhh=xj!aGnk$B5XZ9$l66>{b>kMiXbA8x=1O_!F0N=<`x? zw$!G0n1MS9Tl7(DP;tALu#AAF6;P<-NWdsD*fdp)T5o=Hm2MMqJTnjq$ZFJ2&ws)0U{m36y}h08rA%{WAX}#x+fYlDPzht zXA#);mrr~(Z5Y1(Rv|`u9=9fWom8i!Zp5S%0!-6d(Yp)y2gj6jmNPm8u65FgGl|ID zi~bU9QpT!v{#W(T*S`3krrjqFiTTS6G8(q4wB?g0IlGo*JquOw&Igj*=9o+~aQ|=v zTkzOfZlv`N5?OV|0MsP*wbt50jqg_R<4_aL0f)^y1Yq#L4NMrDBD~G}&6KzwY@f`{ zAr~B0Z)Dl9gBNmR9EVJF;bHXCjSJGF!1=Y}ui7thKL9w4aeax{ooIIs>##uvk-XkN zaA})gSXK<9zKkK1)ATRpP{#tCv#Om)E3W1S+Vi0X0?){(PY;Ho01fM4kx1IL8w~G5IlazPkqCgc#*~8yg+>s3N~6+^}09cod70S{oCk2 z=-!9_Gtdo2to3j&x+u)vQ!^1v%Cs0}mC;%Q(Buo~0RxugT%(8nhBtOFq=vbv>{==I zCl0A_CEiL!1ObKXY1zrZ*#OHz36SVvSaFm=3(=rvu{EbosAvw6S!j| zCG6>*>Dc>CF_6!}4YtVO4Mju1Cx^Y>@Z_H(xwa}(ykHNCr^$H~9^14xbE5A>3)039 zBlzfDYD@+I(cAjEp2;m0g3%5yc)L+EC+o0vVpFv=Jkd8fVYBq=BT~G)G0*odw#zLv zetXC&f0XBB)==68uo+o4qI-EAcu47cL!;-vIRX@-t@Orf z<;lxfH|Ya8DrQalVHJ$IU4HO z+r8m>UKvMKnGZ&T-jqL&h(rSA0Z9)w8=4}>{XR41J7fVX^JP-2T%a9gg}?6!#v)x$ zz~?SpWmMdFY*G*t%j3Yl^2mnKy4+3JH`m*p9N!#T&U+LG>6?S3#-0E-{DTaN4Yo_2 zF*B8N|DSlYs+kX8C4+$P&?>=*Srh`X4_P_jX5^v^d)=WGh1%|fB-s`0v7lmPAj~I4W3&y zA@i(a`EFXznWq~D{{|iI8G(@Ko&-FyPeLmW+TnBWn*hvD#Sa6|;_~ zQp9_~Sh*KE5WwZ@U)GuLHlsfp_+4^wPJmOV&%{R@`@r-A<;vKENB2i)g>Pn`Sd z{{zDQ|8=MD8XFloU82|7aWmyn}(Iv5b;JvgE1yst;U zuIFK&jC)zH_&z%$(i7zTUFZ1FA;|!R$vQf_+kQXBdoBapltQdbJ9TVa$_VINOJIqy z95_D3tufr-jRaf&<5&lXJ%ga!Jxp0Pi;T|($v+4e&rt85H=IB*4a`hwQj=PXWJVYz zk0*@%>gQdz2Zwv`zrkE7+82X-U3AUrX&1)9ZGb?-dm+(un}obOMW8NSZM zp0BstM|RioB1!jQfGK!dG$&TT2z2nUUo5j>?}ri zwzrKgm|@XjoWNFu^Bi^85{qv7-fYY0uA-H5OqgK01V{Ba&{3H+ZiL)cLZ+9TRoiu? zW813BQWe0pTZ<^6()1NqJlL}@tO1aCkVf=jylp%O{5dT_z}?thbLcq}?B3=qvKw|X zEI3Ce-690F{3dkbZ4<00Z*R!=yJqC)rAzY382%JHcJi!!k;U*Ky5%C0_Y08Vr?C%F zjJIKPu9EAsTF7{LZ(L7C)$K>0MZ_GCiqo1kw|8y()#Z|3eCO9`!Xp;)Aj4VU^>hH0 zC+wYfzkz&|OPg^TV!Q~`(8!g!dzM1-TP^V(T3KZ5$FaG$9ROl1SY-u`Zl4TzNyRrq zFEkKJW?a9`)fxKurrn{)o7eyf<^bu4iaj}_E-V$?Ka&(u4Yi2aoWjmSQ6OXrtGGi3~Ws) z#f*;ZbjoU151A{fm)9lVy45IpHyyXBl(xGuew6eJO4LcOS?}OEqu0GRV@NkN``2?V z#8VZVEZq#$3YymfwSwtRrf^3|gi-@%IlD8|6b;f($V84dV1r&DW@173Is&evdX($z zcA4N3dmJ6&Ho>=_;6J^GTDSo9Rz(V{r~R@wq1i@8&3=??uU)0I%}tOeUgu%nzrn0k z*?xQAG7f)FABuS5FCj$H;Z)>q{CXHjrkIgl*lW+LSGBL>7n&Hmmtc8g0^poYQ@*td z{7!WoEw;Up2*3Q9VV53BC-Hi}Z=vEv16Cx1y zfBmm2{+AMc5vx0O98{Iqjqg)MPnxB?c2lzURlmUqs|5#^`}69I(j5L2O*LJC=#u3R~T=$+ZdZqqYA}H@aibhd7N-MSoQT*PJAjwmJT* zxT!~fh3c*zOJ0X2HV4)m(kAIH3{c!5qZv7kmgbJpl7!VjeZk@-I2IA@XrG;h&*b?i z6+vyt0f(K%Dm9fxexxAQVolRq(+OU0vyp4A2g2zd zVAcItEA~`jmG48O3uIusAN6e1go8#t7vmxvZqum3K7hnHpb%B&y=_~9=jC$gbr$p) z2;HJ4d;o`^J1Fyc(#tr$JXQAP(G#7y?vFH)byo;|FO0l2L=mgF=`6QLSTZ6`3_vgg z6-FFHvWFJVNi^SH_rOJ1Qz}S%Y-HN9wH8bUPKHJep+-~P@CiK;LFG`>_c^f$ZKrzP zy;iE36GPZqe|=Jb+@Q|8AMas)Rt=*!HDFQ93*GdA+{s`qn0p=9Hv#Q(biI4W>{XsT z?|#!mGTZtRd~jq(?sr2TX6?n}_JxwnOAEgzA?z6KzB7JI<}7kx(-gvz)W-|;o*u2e zA8UgemSn|hosn)iC{OQ9L73~CY6&HC%2m>*C2o}6DiqaP@1dD~MvM~S`7n7Kx_3C5 z(!y)k2t#ZdpR-6mMvKrw0nFjjR^FA@oq;#px76G6VA!OU|^NX&q19xbOuFr^Wnf zT)i!FM?2KhtDGIe-bo(4-ru3e9vszTy|pFbV)C-@nm2Z}R4;Y=wmySYm`l0$W5GAQ zB(I-h6qkgO+-WK6d++A&*#c=>zR;oBR)&{ zR{wr*Y65znW5vFEW#s$EjfB{#Z%B>X5=_XXzVlb(PsV1kq9q8whUk12O{9F&(d%;h zKM#Z&M%*EhKeof)(<+bzKunrQ4U@+qoI4JEuQNJWH$z%wB32@140E&k6QVRj`3|WD zj<%|IKcm|u|C|Fth-+~36Ny=p^rA~f*Od?k-ahssdr%^zQbMf0xWZfdx?Hw!G_qj81Nd7sl}n{yg{8KvnzDJ9qXbWw(*4l+){~>&|A%Gp%a# z5pv z>KIJixV9a{;o}e=#h{t!C_sl#6jywCOVn(;;CXHFlkm}HHPgPx^Qf#JQ~wPyds2FX zEN@OHWk51xl27kjqx5Fl)LV<6FZvWU9CNbr%6EE$=%0;d4>SPPJM>8At}0rHp*-rZ z&*vEvB>&3Q$pZ^Bf$QS|AB(7ZIMw@DM;mx{mK%EzCUEX3bZQsK!2 zoTuSS$1(ZivbSI3?45|4-`&ewn!WJ#@=?Zl>@L-i1Nh_5R$bKuZEJ(BREg%*s;m~a z@;86(J))=BojNE;BFrw|FxtkShl<%IYpSkZpV_Go?v=wKZoa(5DU(lRr^D>V1$YVe zta%cc8S(3oT12sV?Y?WY=&tBfSLmNPb0ChfdK#{lhPf`|wPS!vR=;3m?Xim24km84 z+~wlx_{y$My0u?cad{AhWLD!u1DZ#ha!egB2z-QHRb^Q4SZf7#V09>lA*b2zNo~K( z`co^>sh#J*9|4VTObX2=U=pqAxx)A44W|q_n1P!-vBLT$-V9m$a6TP4jyn~GG^$~i zpy*95Nq`8?4p}Os(fHU=Vk2&8M5{@@Xv&ngnj1kJx8krys$$dvjZHXx`)~~Rn9^jE zFkEn%pDQP`uh2R#O{QmuAx)hWsrjc9fwf$>ARuJnLRd5B`puZP+`i z8Dn)Dc9SzOZx8W>ZUeE{B){P=-iuC@{A#1ND|l~gM9}9)w_BI;t%f&j9C|_FomTVE z5-VB6T`)V#XRb8Srhq65sHy9L-L5^C)I<62kNraWq;4&vy5>n)vEIM1w=MvYJl^44 ze^k;PA~Tl~asd1BPY%gUN!`1=+?*BoChgE+1kw%|+gky*?{uHwa}~ebZeAtqW?u;h zfD@u(2V(Rcp7rd34+DMAE-zGx8}5}5?h+87H3XA*&wn+35?Lh+bvUE<;3?@5zS^|k z%8`09@kusOJ1@W4G}CS;<8c{6J(%<5T(1EY?fcmQq++>ndWhXVY_wkURtJtu#=g*o-;%+?eSC{F>7VUJN z*Nv+tZPXzZL!{!mqPt7aoq`q29?*Yd+2jSELghTIOWLM- zEipNhXcV!U7&4|&V)ICxvH^_mTL@q z%qNE^4h-?Z3pC(+mce@oCRXPgjo0_lKUnCKnC;sK^IXkOT)RAQm>b~@OusI znwVw_ZN_zz_34KcwI){f=D(Q=(yPl}MC@N`;}0bw1jj@3=(a)YQ7DZ))sqcxx5F0( zPI;lkip+0>xvK4x4mR|hetC}_Pwd(Gtq!9OPGKxcxYx7JasQ60tTyWaQUR(YNqO(r zI^6=@dUqM+WbU&%8P|6K_HXLQpn5kG-749gzZ`V){$e9hKS^@i^3PMDj4%o7D=^&r ze0+MzU-`XBM%$CvDQB@&!{qNdS1^d;xHQGcbLQ z4eentx@#;3<#oM(h|~WE!DjtgxtR?p08B9SuEza9N$lh3x}Nr3lF=oO@$Ng7kI9Lg zM(m7Wui*^hoVBqJOe#h_0i&T&?H3xDS0-qOPy|mpn8WoUM@sn3L~*+xnufp>wG{c5 zS9FcMndwb5zOms<+x|jlrhQ@@%(lwq8bizVMi#$T%^<&ugHGD~@5|w~$*H?8Mm1~y zG~ZB%xzl>nKctWp){4u|sNWz^nY)<-*vfefgV4RCmFzzl%mARfPb`bVPMN2uLCmZR z9UNULPM6OeGsj&TB1ZYf2LLY3RDWR@t$6ZoVU6nDw~J$B;EeOa5I-yTU7^Dh7`qqP z{2$cDRi?W^?BOW0ihkZ9=eH7Mow4CD0jSYPy|OKH83iLjC>G z*%OW&^RuqfL&1XGPemjL$wBoNVDyp(!Lg~Sfm51Rz+bM9x-80Y99f4>bEYPN4}m1J zoSq}V&E@>?8=^T$;x0pQLSBuHlhz3EvN51{Tky3bg`Ybo{vCUmp3c?yjiyK<1UWI^ z!f{8Y^EKEh-<{BV!1>wkkL}JP@Vhy?Y3Gf2thFuYt!mVao<|LyRn=JT)ui6?KLZnQ zG8t2MoT(L)gh%OmSikiO9JVgXmzZZyi*F$oA5*yVw0+SXV|4vPteh3x(L#z_zOE}+ zmP!l=^BKHAA&D|O_RENFv{wr&AIR@)=qE+?x7TfV{$#R{u_9Bwt9U2!P$yE91YOGW zn}TLJHygLhP)?kYcIV-40m8RU))<`W&Dx$?#G1^Qi^W-*ezzX8^(BfgbmG8`10Q3J z;&!KsjUfoDosL9%)ggxyc;&TzW0f~bCLZ*7cy1ngKqd>!e6rDi%DX44mWY2W2;X&O$2 znxmAxz_L;7{*7@iYz0LpWY7Po5ZxXZKXG@ zh#09ivQVnldWQoRJIebvZPsm)cCGe^MyahVq)ls?cf$SytpLKn`qQlO{ZvB5w3tbk zAje6QP<_IZ6+=*)t!FW_m@680C`AT$pp`Dz&Y9!|opE_lqhViarBw45-OCJ5% z1%D{Ptuy~faao$F&vz-~bbcn8_WGMZ-d2c^Z(Q}x>C4>odq zgXE1@ITgNWhar(HSz9}fsTZa9bP9{~9)5dRVFa*Q#z*wYs2%K}9ou*Bw-b;oMuc6h z;8cux2a_97!=hRi#O@l>Zd1QM^n3NUfmZ~bXS`iUecao;ROD7BjSH3z>qgx^@L6|(#n4_$UbXvsoOtc(5C zigQ|>Of-e*iQN%3!IYA;dTvDo2p15eI+bsZsgy#V?`S?eN(-9bedC9x{-)Mph9=-P^ zC%fqRkv=KBH_Y2+84l54fpSg_h1Mzid^4k-z?YA>DBXz=IeyGq;h+0+f0x{N?3pPw zrIa3@-%kZ7QVL=BJ!FTHQH2bUWD#C!N&Mz7+4nc|aF%cR^lhjbY|gKQ69~pW(Rgi- zm@8*6lKu75xXghMluXG9DqU)f{VghY^o$@62rcL;YKKyZ(@OiJ4*&4^iIPaob&l`eWrSZPxF%Lp(uit$WZ7#rWcC}~a?YKeXqNzaYw5Dt@FvyOn`$pFd0k?#? z7%gA&=@rK%-1{t`>VwbT*B@)bxG0(JZQEWvpm7gM%pFB+HPnwBh`f?xFSmAu3z2X; z8z?qX_3t)7me<*Vpo7Zx>hx?JZram<3*UM8%_ZS|ZK>CvWGK`*##}oq2afuxbj$)i z3@uKFj4}g8Vpr2joGzw?I?P#O_)LpPhc2#p@TIF6L=Jw)aZw1+c8D5b zb5D&qMVx5!5>#QB<3v}_^G|{2Z7?fesBhlIthI_BhTdK_TtxVfDn5n)0U&L6Ds(U8 z6n!}Lgv^60o^jxdZn)xwwxr@Woz*z>&BZXZ0p4I_f)4JJWU+U5p$FOJEn@cg#O47c z<4$9K#F>py?vHFMXX8{6IX*o^*mTy5kq~`Q60O_3LHngt4rSiyvJz>W*X`2R#DQ=4 z+_8xhKPIaI4H{q`qr3DhA0_W+QGab$fMz(%EZWMyn+`;~L~6EI?jb)Z=~LibRwhD1 zN08o4MbK{Z&Q;!q_zy_XWl2inz+KeIbIYnmT8X-Y-Y={BL65@C{*v>%JMvwwa3X#; zj5;H#%rL>db2demk&Cw3YXw#HPaOF`B-o@YcHtB(s+;y;*a0DZ;KWca6;wxJ)j76~ zFeF|eO!a5Ke=r|RcNpI%Q}*{cg2y2@OcmU_n!Jr2Z@8ohRZCrWGPzVl^Ba4Ie1=ZQ zCC*CYnR@xPHhX)j5ct&NsHu)UtNeUHJD2mtlNnkvVs)Knq*4FqG6~ ztwbAUe{zc?u@8N`6_qPazXFetb?Pl~O71NBU8BK5sP=Mgc(R^2&_F)%UOJcD(TF3S zjC(&;Esp^hysk0U6F`GcX>91QfNM2P)XsCtG@CUP8W~x16ESYz`ch#aKa*cE{gGXI zdrxxssPbKkz0h{I>zZfWh4$3IIWo75%8Ok`D)-nthK57V6wk+zC$7g1fooXbr==!m zS$7eD{DyPwHtsYPv-SQh84;07t=eJfJ!S#F%k(KJ*;N8lGc0?-5Gz~Vwuj`R^K96r zeH$6Fk!})|k4Li22OJ5~mRh|2rQjeZoPPpRyuz)QLk-l|k^fcA!OM#W^Q2)9hPiBD zFTh9z$~w?kj;IJ$mVut;#R^IkwJA@SwMk? z`J2*_MnIS@E3x%GG!Vm^B_3t~myQCDh6R%~iNurclY4k%82T!D%0+fZgnSHnYAY>Nq92;v zj8>TulFB7`B&Z-BFxSVqnA{ti{r-)lU-<7%BgD%`{V+uhAGysqNuiaSw5b)pT}`dN z8!b%rkt{{#y_Igtc<16mZTfLR;J<8SRxa9Ym2kZOp! z=dvSoZ0=x9_9{-_McO6Yn;97Dl}~m zT%JyWxA>=!Dph(56d?7uKLUQQbhgM9YGdxESMA%UK7KqWt0T}M$e4J4zuE%4VDE~H z%5*oq`DpcSVS>ER`*K-6CH40g=~jClT`3>3V1oHy=ml{fWUe$N?#$pL^YLyCmR(N| zRH@x(>sWqIN%HQaFAdRyM&<~yCTn?HXL=s$2bem`kmW{BWx>32cC%`Zj-AofBrYP?3Psxk=Alh; zjRR(x;515jS^9u0H@R^`Y0rOqbIeWOR(-9U3BHzzTPA#vCJJZrSQ5)JOg}FV?dS_h zvusc_*gUz^uq8}n453cOGLV*iV=6$~LCH3ni-vXnl8wlGSzQ|@j-}Az~t|ENH?6N$rjg>~a2UqM&h;yzwYznPxLAiT6GG zjt}hq0z7ULVPg~fyzH0!rNXR+>CU#h@DnFS$a*^~Vsx8Lhro?+ajIBbT3OeD8YICo z7p_WE>?Re)X1O?3gQKGMzyMr4+a`;1NfQP1?8%}BDRp9COODZTcY{KevBwg_>ytu&91oYfExf}y*?+nMb z=Zw6o(EDbhXzw{n5~^v*UKg%+mS%OTTby9nVV~>tJXL`vtF8{U4FT)>q}no~DpmIW zQ&axbaqTVvE zjMB!W0k%@9TF;%T!TjXRI^(RGxVDcTE%Ex-lVT1fq012{e}KL_z}s*6(zB_9{;!;g z(iS3GwFQq=yaKkFZx)uXN_hYcJs|BH;x+BE{pt@)_>5_?RIg``nU%IrgeL9N>{jL3Ki>oXWn}~I6cBee}TT&6Si!9wFLyl#f$k(}z z?UvFduMBMuebKcxio1oo5!vl+DnUMo4g-=F}g!&zTwB}U)m)S zbTOg?34=idJXi=VWxDnLvilNJM**nwrEmDlfF#KNYYBrcmV%Yh?-n_< zb4qNdIl6ahJZS@_cUT!f>jV(?K@rfBdCrL3G2b#4Ib0tyudiaXmJ^SFffoY^I2j1e zk|v7R`kqBR7A+t>vY-ciqnUd50?Gmu$*_&RZ27P-W~u~YQNA+7T6k_L&_ffB3&%Du1{9} zsT6CSRD&R1evId?0e;69x-MO&z}xupW4e2m?L$P)-HZmyEMds?Fw#0%4wL(Orpt(! zNnKzg`dCu8iayg+BOoo%TWsmGgB_~$%1NQ0U$D|1{(^MAjP%u|4e*JPzWn+|itc}b zGmMH^{?Jt$<*fD)BC+GnbHqHGyB&UJy?D$+#@(7!;PRHQB|L>YdLTb61QUh~x8iT%@ZdJVVusw{^S5%TEg_Ki% zZ!o0fjq8d}m1fMEtON)Y9}f8Jzb3bic@U6k%->4{J@xb!Sv(HD*KCLj9;w3aK1 zj3`?Ei#2N3cCopx7%?qSI;jQkeFza})6tG_5F8+C=94SVe^Il5;yw+cDn*wXaKk<} z;?MfS!)f(5c>#7uu{6_YkX8Nn+m2oD#tvvv#L0%;M2JnS?jZ`J`X~Bg%jbAx;ZHmg z!LT`0d}sM3vQ#I64(=4cUjh8rInV!$DR6g_Tw0;3Z%0e`_J5Akbeg8lmv62*_Ia`B zi1l!V76SZmdUPF%YTyVFpdnL#F%Qhas;D^FOt}29d&7rHYE$JUxva1>_wKhnOiX3y zV-xb;%0l_?snG}J2a1N6>(g9 zme_63UZA0rnB++`eaHb4uI?ZEe~Kp&1SAA%C4Ub+;B>#I&Bo)ZRp10&TH_sVdmOYB z5*qHxQ4)a>gxsBf zo?XcxrEu`Ewle8jilMd!%l)(?xxNzlX&3o36+MDm9+MuH%iB?!As+uTg>gl|d;w`N z3G-n8Ot!z+@i4#^Q&#&=_Cy{fWwgnMbxM`5u!`0ri-uDb|Bzqf7R9d{?PZ>ayLo+V z;wL{h;-+>kjXK1qGOa^ZZ;YOkB9>lY71aGbIxA6jw53es(@3PMBtO-npIsXbf8KDr zkbp%t4N3UjIhSZm+@@$+#kQs#$8fIY4@~6YpnfuNa`xvd+Lz6Sq?LR81F^LEI`WMu z3qSNBZyKut+-W}UCo_{_cQ(v)2JkUhqxF%ChP|}f{NNfP?}tvHFcCaEEA4viCA233 zF${}HIOLS)OxltazO?MB9`oF-OmC>kGg}$4OIBKrLdMbm(iKf7JC&xmOmVD&NV{ay zgTE&v_d(0PrgL31^3?oK_!W8A8 zRFLo-Q7)h1gbv&o$|hUjaSLoF1- zxXv)E^PiE)F&_(?Irms%sx_ypn9?NbmHlg$yq+8ynN&6f8Mi4Jbs?vc5)MAp+(oj4 z#qE7kq+8PV{&e*i$+9QH_5gmbOqwKGE6uKg$KI zZFRtzQtl5jON_wjuCR@w3&v8F>Almj$2W`J^n!6-!Akk+g7a2+*c=!TJy?hg9jf&| zNT@7+U&}SDo9Ff0Rohvb-K0~yP{$D65m;GouU}a$LX7K!qPjG(?)R(eAZ7)DMvW)g zGi#}C9Hz?>Ggz4BnQmIMM8Tx;;@%-{*_Sp2+|e)b-u*O~?>`#eZ(~^)DXtIwyk5lx z`gvgZ*AoTNgD_sq?9tRPF@nU&3TOUuX+Xp=c8M~*+vP9-4>}7Y?yexj$()hreS!E$ zv6DO^E5Dd^5QQn)?6;mgm@u4E>ox(ugal!DSOblaexNw=+z8>xs(QZ??)VX*^Hgrq zuAj-TqMFv{uLxCg8fE&I%9n^2O%8_nxpTYWq$rQTDEeVN=;JcYU_{3gCjo1UH_}t0U?0a1i-CbL&EGTw4Cg+&{!qX2jMS5Qjj*H2 z%h$D09}X&~TkSJ_ao0mdzF*C36m7)bu~P%BHLW%?C|hLDPxePngM%}fjx_q9#8tHG z*6^8~9ZE=kp;zIe&=BjXre$Dm34Gr`5FMy`q=pp(>6{9w~m_PiZ8gifor+eUSv!VZ(JL z9)1b=K3lqUwFgH8cc#68(_7{11C`5jb5u2vOI<%{?|$MqDXZ5FW?Q>?L(~Bg;nY}y z#a_k1CIu@)5qcytS;>_!I@PEy9xhPw<*QhHVzL$DzDDHp;*(x)GGpJKY7VH1F(YcFVaMDk862d6H0Tt{}^fO``^Ruwpv-E;xTK@H%OnAJuCDUP;KX%?6O zK9!z0Hr;4W{Al>7?MdtJ3!MC*oqj*{>)TE^B&FKQ35~jsui0y4JNLWv(;T|GqMx#n z#1s2LA8>;z#6ThOByo9%@ng|fHqv7&_G7YRvtwuwn>WhlSnMSxZH{uWGoPQCKoa3( zEs&5^a&wjiFG{m26F16qs4uN>w}RM$bb+YoUAS3wZ=OdNAHz=x|7{-MN3m)urk;PA z!^!3qxwH&SjGK+?BCdi8h{_%=z~aO;KjtN*JWkBY_T?6Kl^B!Qon5som8>7+M)wqM zKWqkRO6yns$7N@B{fdbVH(4ES+qo^XslL^6zE3d8Glp7ddn^w46t_>342fpM!u{+S z)a5Ni_IQB|#G8FIbVIrWLLHIEykA{8ejg(T4T#%=hYRrRc?_kp?I{#Q=sR2uyZU39 zelF)EH;z=2`JPKv5O@t$Z?vdva4PUXJ)Q=dALypB3?AO+%>aE|weUb1SbS=}D+If;7fR92g76^*PgoDt? zSU;sqc|01};YElsLE%^sonv)NYkygv)+`*qFKj|?o*`vV!OIPQ`ZlIbu;t9&=uc3; zKmcZ!o>WOHpCjk`S8~WPKbZi}CAFC!SrDbfE)LSE8P%omyAHcMkNQjL1yCol$SMlXhw*Qj1U662*x-EHBHzk!&gNicHm_%i`q+d3W*o_{1u zG!z^#tU)leM1OBWr?zi(p2KFU;b--CWaGitBO)Q&1tusFwtF9yk_?Ed&VC)L=SxxK zU3Z%Sy9nM=95DZ?3}Zm;Mt#TIZShfM>+E~vDZ|I3b53J(b$ZJ-nGL9{_t97G08iK{ z>vjW64=5r9F|BVe<2R6^uUrl?Uq!3BOX&h|mUA1I;7C5F^Ng1D=|4+T;oWF4<7ihN-by2I1&i<}Y zlx!(6HibT4N;K6?Vk9>I9|NGYdmH8W0Wkc;HoKWmzbxt1IdeIhlC!xjvinz8I!+Xs zT5%|ZsfP%&rh@Cz_BPB=G_Q!)NwV6yzgFEB<=BT$^Jaq+)X`(LsdE9P^_R&^*ZN(? z&@tz%XH~z0f4lRWeRTG`Aq&%j^i{}{f`q5sc-nWq>(ZXv{N*rT6**Z^M;|$>oN*O# zDCzaMtMYNAp44k1-dRDs>kd&x^E(mX=379@OhCy52DtwQp3r6NCUIT?ghijA zBJPlT3F2z;XBK+gAyt{M_3WD=0KAa`pvg9gSu^VSMNUEImfqCBq_=H1GmAJCEv%Qx ze44mJGd=)yf(j%pO8<*NGG630td3SLB>G&&0*w;Qqr8!%^0aEbqw}h~W46RHWFY7u z`6u^~q0c*ZYT3xZ8?t%-C;u37^s?rDto?pkLY?TUHS3(sr~+_68tH!~4sJ-KnfNoW zE$O+%Nj*+4yWTz!;jZTnhWmm z>R@(%TPl&xtDB0yNGDA^v@;jFp0^FgVU8EdeQ@&5m|aMW%ZCN6@#qR&5f<7-_fI0z z-wCK2JxC_-<}uP3)gMjDGGFU6XV#X3a|VE+sWdOAWP4z23=4(lM<2{-K0)4qv6o8| z6*}TjIp>UwiXDZ?WoxLpWK&}E*%-=N=FlcEa^QQOvZ3SCK<>NGiDL4KGbj41F-+f( zgZvVYKayrKA%oW+p2bPMO(oahJlwAve1I?z(EX*Q(|LQ(V^pQ4PmrNY{1Ff&p`GsjmwZBByU{ZCM#&N%Tq0!0ARUPy3bY}qR7 zVUgh)8PsWaJL~Tn-pPJUvsQ#a>o^4BZDlon&QvOF*=W(bU5L;U`}0r_#A&Gb zMd<|Q{D@XHa(ycuU~)4wLm7TxHdo*kj#P9g3Le&gsre8sTN+pYpA)~psW3| z;o~{+c2nyS?bo-|HT1JnMD|nT5MkD~18bvgkLzlLR_TV!ux~w;qpDeCvc`Z2Tw}z`n`vxuL zCyRFr;n$46zWf#P_ijT2e+(g*@%E#B^_U54b4YP$>7RH^{4yOsc}o#2%gAq<**Gs` zQWa*Lj^|*R9;6X2x=HkC{fC9Jrfo|;zfI7;r`8r|eLEK+HeUN#ibwrHHc^Id6gEfj zwET+l31e2TzCeF7JmYe;;ifM_USsa9xh##;J^Ic+Z6fq-mZB0E?wUVz%re;sw*u|B z!n-CGAN-~iE%pwW+nH}SVQ3NSy+6D-oV`iLt6eH6kGe{zH3ZI{6pwou-_l2%@#{ao z=tiHkInRy|=+|qD)32}S-6xS_MEFVx`(ne3%ZKXdyJD2@S8;68z2>8LFPyTduBcpS zf|V_4Z3{?vZbM*t4M9p|$?sEmOUU&9@L;bqCi$h6E`%h~r$Q+W-4*#9J5j>gAvvJ#0G7*PoH}<;Y(Cto#-^B{!}2 zVZyc=8fUoiAyN7_3SVnNTwlY>D*~Kf?8Rz>f;oISdr8r`=`k56IDZlb9OlG?fW4H@ zQ5X)3-fl2$5C(TamYMaIsiE_OndRI{KG8w>r~F0E zqNV2v=-Kg`>eOg3@^n_dY?ya+!G=1>mkKGFXDQ`K1uh?83}uNUr(T|-oLO{Wt%Pr0 zG4D}8Yd_wlaogZQ*xAZZBn^P=2UAaJ@pact`++pS`LL}G3S!`?g~^qEo+F8_amBap zi|D?V$`=EhUrbt8vP|wP{!bvx*SkWMLj!|#3phqi-ydV@%YnT#PRjO-oA&3e0Q5KB zLk`JbcitEbZA*%Vs$DXkEsK}?>8AGy0h7=!tQ5wv^DiVvq`)46PzLVEY7iL)Tlls+ zEQ{00n;5w@Ncr0%uPhcI^`L@x4(w@aj;J!-tQ<6x;bE+V_dR8BFYTv|@SOf8B7WcJ zLnh9x8aS1LPo^cZ9m|b3Z7Rw?$(vo3P8ftH>o=#*@~Y4Ihk?m4n!MSj%Eb@eP;M94 zDJd(@5MayMDC!8`Uq~hx6xEU3KLW!M^yBlLM5-b z+V)I-W?n>@d|3nSV3!<00&+By3Tq!Am3nvmYfcR2;eE`*bWyjhTsQJ*ajLay+V7nx zN=n9_l%GEN#m#u+Jo2T-FM;S5jLysA);LkCi|uv--i~>h6vKyaP!cpDbIc^&S~V*>i0aSujX0>yXb32R3x4tCl7`!k5elIRQ`2$1Q}xI z%R1Vm!hRu{Ji&*(f5sr1J*JrRcVF+_ZDmhw1N(M!;r?!yfn4!kT?q@*N}iwm1_U0e zzQG*SMz*ae#Ot^tj!*u7)f-rc$PoIarDHfl;M~c`x%3)0s z{G22sk)XU&28AJ9k6g}hV*UxCj+Mz-w$7+B>bmM6#~ave@%DIn@x7U(x?@KcNcC6aXDoBl;@I^i4psFcO{^`9o@FJHw` za^U3vLxrMo_zHN;Z5b~FEjyv_o*O^Bh6j$B5cSsV3;%l%eShE<^I|Ab+X#! z4|u-T7#?3f9kxAiT*wm_uz-Nqcs75Fj#$4ad7ov*#cwK~C96|F8Z)Mw5<$c+vhp_$ zm1j+#ACfbH26LF(LgzbsN5U_wn0~;|25=BXqmm#lji4;v=Z4Y1j_hf_)4%;03^N-& z<1eI2PoIpJLngePzElv$jkRF{>zfAhNW`*HV^+N3m^u=I5HASDdya1;4>WW~5+eqZ zrWsFCu$WZh+8x5z(RN#{_&66=_P4KMWR}~|(lCt(n&q&c?1uen5SmG+UsSQpUR!mX zva-nUd<)2;guOF%%E9;4hI3C;Z(PWLlE^ z4h;eijesG>Iin+BJj(ZcG$iaeh-__knO?CU@6Np%i&)*-`UgO_9N=`k4aHC9!Ms(h zutZ%ri(Hq>&LMl%aY-X_(P3;cbH}+x zTO;)&{^!|;1V|HnJYj)rGWH@ep7XW+`-O0Q5eSmpS@JGt&Q8xk3_={TPyR(|u42IQ z1Oxq($Yb<*@~z%2G&vKfzf4@kY|de(ZqYuZ z0WN8~-$U&C#V$oJUkEWTBv!hm>JAg;2|4j(SpxSGBtR%Q3ztMTN$7fvvS4b(ri=Tg z@C(0oT@hp4E^EvPe-+2|?koNOG5QD^VpEnm%~BEnfjiW`0&oZHe|i$gAeNZXSv=kQ zI7y8}EnL2gC6@B1wQH~szxUNeABWymlbf1`nB+z`_56U#Zq)OFoJ1{(Ql zYBN7(n)kVdSRAFV7am&BD0zF>@!&xP!5uHoY#8%%-pTaH3;gZ+X!iBiuiyRS()}Q4 zYD(`Aa(qcU>7(e#pkXT4Lhm5VdlPsL{bZCC+|ftG$PK>sgF*>`Rz{W$1?kuD8$b7L z+wXm_DARQqtWJDjXRGS8TDc}=afgy_opi6uVy7OmsMEm_(ls#ZePWv%-a)9b{Ei5+0^Yuuf62(&_TaYN_ovCrME50?GCI! zykLT~5>}8ceQu?46yk2y*lZL$T_DiqmPJuefmyq_hWc)nO}8bISMK?rNTGy&VdHFK z*W9hvNXB0v`LHeI1RtQ3q>+xIkU&r;&#}7^=a1~W@lP%@)^!9QE#P($CKp#_*;u;ALD$v?d9c6rdf5u8c2Wd4>M@7{$|kI#nkc~ z^Lx<3shu6vd0UHhe18SBC$_y)YNJ5H?+?JX!+{-Kqx=Q4mRD>WJzSu!L*@_+lnE3q zHHSDztHNh>4tQF5ZJukhw+<#hb5*T&m1HqlHB>kP$C;%YOtFK4(+TqMx@4Sz#W19L z9{qwVw51%yU!4-Z!Hf8%W622f_QYBX?de8?rx0KxqK)gGcaalnb{R{5YSA^flgmJG z{|5VzeN1A>*7@Pz{YKpn<5h6?hi`zJG?3i6N4c)mUAJ|6%i9TJmn26eYh}5W1HF7h zr`uZCyF2*71;<&~YMReyIoNHsW6dU=%`@Nc*0zvyXSJ(CHfx2FSyWQQ98h!rQ%`Y9 zp-*Q|XNgE^Rq*Hu1iGZKdhPbs@#RdU&2n@*gCL@++@pqqrWj0d!jW!Nh zt{ChC!ekYt9Yz|9GCob7cT*L{=_FGrcjQoAsscuC zehv9!!HFpBXTuJI zm$%D}XkWS3pYFx*5zrqUbWApGLmu-q?_iZylXbrqm$xLyou#2~6afDs;LeY+*m)E> z8F1rN09&vhQj0h7|L^QV?i+_>y?eAY@|=3v2Llut+&OIYG;8lU8a$)R1fNw3-P<0~ zQ2m($4tcGiDAFuujn)qoz>j*qlXLD*0kay*XvnR*khS==w z$R88{#*Tlqz~;swlyBUfYl60{VJ}}%y=M>Z=rMQ?L67^x*U@|UhjE;S-`)jQorzt_xpT@8v|fIcjI zGKtf*;x?7jdGXOvTzunbb4hv5qB>GRU}prg>_|GE6+Sb7MI+Nc-aSqfR(=mCd*` zVy>>+{mv`{CUpFFN)z(m)RLFD72*SlRrf}uHgxy)hse-^n^u5B>Z5N|29z3T#cXaX z@{R(p!xu=9*MZ8;=7&<^3~otD?u$Bvb7fDQvhdN?6}z$JjQDuN6&X(2cl7@AC*$t0 zOIirO1yL>^-e};kb1QP#gYEvSAc-{aJ5;!H)YsNgR6?=-yFvjSM*kA@K?bWHhUw>| zExLUocLinQ>DvLaJlTCdL2Tdt2*kE_TcQ6zH=C}6Lif&_?=_K4%b?F>^9*kZPRf$$GLb>!Eg_t zAm|2CM0dhOFEAk(HwKPk%!uNA&xT=nLVmD33oy}9mb+6HCy%@=YHu>u0r?5$`b8ED zBI*s^4F_5c{BaWu#cHGaD$6{Fl<%m52eptcWSx?k_sOoc3c{Al&XHlKgTV%9Kkl?K zJte}Bhe=}<0}%RsaC#=Pj9>{nc=f;zx<>kAyTh?&gm`I% zi<~8jJ7!OXyn@GSilLGDgTc5hq`m3=ch z-a)cvuAnDcnBISX_lv#yiu zc(Nu>wYoZ@**l0_3RbJVEO&&9A7qJT5MN!qk_`QaODTm=NoCwJ>5-SO_`jXWe1NTly~y`bN{fjb9$zZ1>~+jg_~04k8nJY?ZVpPjiSoBn7W z;Y38LqCNEp>$9EiUSK67IdWqa(Ha!7#VKLMW$dqC>!`gFS&BE;*vp`WWK$&Ir03^a zro?5t(OhsL{qgS;IuXUE(EqbMI21CvAS>u{^~(+;W+Ahq*(Re8J%A?a#2vQFS@mA2ndQ6`}{&jC}B%umHHayMi6gvU^b2R@eqOX&CRsq5$r zs%pTg09&LU^9CT{GfL0ez+P9I%GB;FAGZmrGGTu%xk25^nS#bxnN00$_1x<1jctEt zS~!Aa(y~c*$g}ZT&D1P5L_vVHYI@yn$1PSHb^S6Yb=N@?W#5ub*Hd1WrMfbxX&wPEy^R^A52 zKj)y(J7U3{@@Xji)5DU`p|+Sut7V+f>AXgzXYYNjdO5sHO>*7ch)C#V z>uY()xL4Jxp3ubORnu{rn*L7?02UcP8xm7~OEqMyqhS1{@-bCm7zlKUFurGzk}n|o zP{^%hv_)jo0fWZdV zsn(Sk=z!zvmoV8YO`M4au?#5w1DabeMANGtxbK1XDg;Ob5+bGwf@gbggI2^*V>=5QO>U`4D@rKt4-(2|F9&ynl9g4uO+ z>Av?$srXO{eq5JCpU^c+1890j%GrVfi*}Fn%sIsA|UYk zu={NsQh-ilgG=%}`I8o`ltLIn;>$~^me4sIAJYojOJNeYxazlcg7w}e#!&ExDZR>|J*%D$@ zj>&~6IP4lRGtFRc-@7=jLv7Kq;8hi_%LTxEm1CP0K0m#-d%rS#RD_Md1p>g8oZDeC zVGd?TCMxJ0jq2f&0Hq2TO94o*UFJx6_ZB?Zg~n;n=o-Znw%{s zWnSg@TOoqRi#PrVow;9J|F6)QO0j&^tPIe1WTA>dJ)(gYf?6qTB+uq{46q;>mjbpW zn#_qp9(N8GlQ(#r6}RwB3phj3RO6Yu=m6QftNIA%c{&yEfMI!*RsCzWI~J}IBsO}6JR zmQ+NgKDPSixOPaS)rZ|?h6NViGydF7`$vwk?#7p^J}Q!wjnrd|beRg926pwSqp3mO z%1ID>C?bomlfEp|EKP4sDlx#f7weB8{gl$u+~AU`{g89dB~TEP+vISlM(%J5ohP1y z;lAjV?cW@(c0bmIU3usbWl>D^MEqxfkp~!HTy>b}hr)r_T#ARE%_DwZ04{QJG`bRB5U0K=&_WFk5 zB3HII|6kaPFkxh=x&2&+5Us0b7JkHW?H@D#8hWdd} z3ae@k3|Erp9EP@m4WmR0Xq>%n>!fR7*^FIg6wkOL0pdJ@{eul?+O(AwtRUM`>KA+R z%z@lS0`3WilK9rcj>p!QXHEo{9gL2UUk=AP%Tgga^`^@#ddn7_?h&({kh7a#UGB5r z&!S^}TujTp*y=0}Qn`d~NpdB%uUMx`#Ia4BE}&o*TRpj~a6jUG`g=(U5Ng8wzY-l; nW9Wdo1I literal 0 HcmV?d00001 diff --git a/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202048.png b/SS2026/Quantum Computing/11. Shor's Algorithm/Anhänge/Pasted image 20260730202048.png new file mode 100644 index 0000000000000000000000000000000000000000..9be91a0378ca0fea001c923e24923c207e4095a8 GIT binary patch literal 53678 zcmeFZWmp?+`|e9iaVzf7(&BE#2~Ke-QY67ju>u8xTXBa{oFc&rh2kCvDaAb$Yta@B z?k?HkdH=H3`n2}mYkhm?IFiXEnYm}~+;YwNyUxVuYO50A)8S)aU=XRjRMN-5cnCy4 znsKqw@4$gqW9Zcb4}DbyjH*$FP4vbiJ9#a642;?&f*UI=^fuo6mnI$<7{p!oj|Y9O zWpB`Ll7W?9gI~G61$$e$+hVA?+uFK#*t>#3hPdcm##z;r0(4&n0!W+;(+mvD zxxOw9E}WfX{xH%g&oFeVyqfa+sxPO6UW~P4?n0u`3mgyzaYSd-$EtgF$4=XkhwF0?H9`-+*q_!XaH#f(V97N>y zAt6^@jH7NRT|_b*#1KUI3gP|LRKmGQa&PI~l^oDZN{@H27#udlqen}P|Mv(Ioe)6Xsu_nkZ+xWMA+n@cGT!fjTpfXi2D2VKK z>NU!j_7aCO_1N%N7_!tua`%TmB}Klc;{39vjBWZe5OU4T# zLJNOL65bqokf&WMQ%rI-uw!RS8I~oPig(TOy*Vg zq!#gMVqCVXRyOzKC578_|eQ+C!@6Dg)Eb@h^#80U47&C{sYM|&(w7_RA#^# z@4^jayOMZKn@FbmL*5S60%RM6c~^jx;g&OTj*>;?g;kA1!g`AWmV-vGq*se#+Vz!y zP1rhm9ZVC-T?kcXYsoxEZPe(JG$yOAIysHpPhNf>Qa4PS#e)n>)v!(PbNrjtbS2G zP7r>aS<2(DotL5D*@ys14Gnk`TQJ%;r~baY{5F~ka;8xyzM5;P+$;(*mcLvxG!JbZ zGTNIS&)CPYm%-0y9^c*)!}swo`)W7u%6~gTBDhH-vHt3kCz~Cc*MMxRX2@$Lj4xTu zoj!#-vIU~?h`6<{>GQ>sFJfv=*z(&9guk~LIdUak-uAbV;>y^Tg;)8COLBIDClhAJ zMKPts{_%X(FMYu#RS6s0_js97K@-8sO|Kj#v&hy=#__Ig>J^k+WN(BSjOQK*T4P5s z?tZf5^w-`fNyfWoTl{U`>v?Kjj@$#@l3;To=5r zlhp`?iyW|_O8|luO1QnxMydJ^A!=WA=V6vN*(*PzO)zUsd8PkgkeBjmTW(Ewr?B>$ zLLfxZ!XO!?rsy=kEcjy}B;=E+++_^1!$9w~3uJq3WgHSU{g!sihOt)%^u2D;s|}%_ zzI|8q(6du65cbHhA%_G1h=3}`o5+5#F4g?OY{hTh2S?r6WCkNw^WH~=3@*Qq9;Say zFK^9-)IR3@wYNl8?XJR(WDqH+z)y`56~`g=vnaHX49kRQV22j``A$&0UjAW}2|Pfa za&w1!RwrINTgE>%P7vr6WPQ!;kyrL5l+R>bwMh?K-@_=>jtClRoYsj7E-!!}Yb@vy z7Gur)9;6Ecaaa^b*t1bY228XF>OuS7cl)O-rb=X0tNiLr9@QmN&xYh6hPwf8Q`bK7 z4VxGDsIEsHPxJnkbVc_Uu2+@*HY^{9kgNMR!DlUHxkZheb?xJ0^9g)rAt^rvpR?sF z_uFhXHd!>%GlP|Tuz_y*No~&;QVI*F+sX5&DdIoBhVeB@iT>t#N)TTN*~+KT_Agt| zYp2R&GSwOEAA%@_9KFI*9uMaZPz5h*qM%Tq|Ev;-GyC#Ezg4teR@r&~bA&X_!ai%5~5ag$c13XT+l=47$ z+CR;2o|k60g!`3-AGu@R7Ecdb(f8IxZsqF#>6ZQgGm5zUDQ{E4fdBkavR&g0u-Qpj z6cOY!AQ-Vmji-9nkkp%vI~?o&Evt4S{PKyw^t)fm9+mikeUUId6+?zTeqQ?_tx0C? z{)H*Tg{30A1acAVPgxHuyq*oIeI3a;*!sFDc&8`gw>oXF3wh)(5K3Lv3l4LO)?mxV zAwrU{ck%q}=Q|wvwDa&Clem2_+4k91sX1P6V#1Y;=zIii^O&BRt%QSxZL=Tk$RDg! z@k{Km#6PdQ5`-p2_aB~l5L`j=0&|#vlY3N_ff$k3g=t2stxspS=^Fa5_+3fH7X=`I z(W0ww4{Tt>X7Q!*V5vcoKzm4QMFAKd{?p6cS?U?=Q`6kGf^oiA?>4ya6PkY=1`2P*lA3FeE>bi))*$A>qqA&5vuF4Ft!@5$h8VDH;in zAz{#$?Bl?kPi!tpvG}~E({C2P7M}f7GGU0L3=TkIR7NeEn}oK`eDG?E|1yj-Zo@QU zmpr!iI0n06iG#yc;yp2xCP$m!=44dKtya+ZR&t1h9!%+dvw9rLM@xeR9cve~45hb^ zIh0u(5OrszBDTC)iwQ&j?xsp^Q@u|-TRWGus$~1Fg%ZC%o6ENTr(M2Y!Kf#*zm$5G zMV##R_$ZdUAnVtLA#Q!>hrgv>>VMX^_G8HtNulLXD8woJ%rt0p%{=}Wzo&$_y-aTn zkqk4Qc$EN>Y>1EZQiGmhX@R4Y;(-m>-6r%`}{T1aCYgBtnHaQtR9??c1Pvp?YQ zzfa!&fvfUVAJsiea&Q~UUEmxlw4XX)vodI({xGgeke0xQUG0gimZ~eUy!l#}IIyD}e&0KNChAnCe@fU+0DdRK=!?XSIt#=8trw>j${6ExD_f zW?Lunzs;eft@3Rq_)XKv&qX_WRC5B@S6bUo4iZDmP%(RU5e5p*cFD26v)6w(&rNI6%|Aw!5 z^C=eVBtWZ4IX#1epHUgQ&eSaMIHW_os#z19xK*|XUVW7PVQu5VC1F3v9b&M% zSiuIagi;W{>4l$HVXQh0?OIPPT`eV$K<91!mSVmE0$V5MNN==$HhsyWM340WgAUA< zs=lktt-!DDO|uNfQ+n=lHqXC*im*1~PGA7Ib@CNhQCFS{xx>F|VUq*4!gw5#j7a`rFOB4WNWUb*tv12{RHRb0rQwt<&J zt8N0q!Y4xcYA=$g)SF`wO*tnv(m2Wck^7pfdznZ--+pHEs@Un6;*+#F@!VkSYr4s~ z@^h|EGWLUNMZ#brZ}>nh-#Ohy^O1s@vS$&o(~#1wtz|%3y8!MC(Zt-g7duYhK`XTd z-43QJ{Tik3MX@-H!A-$P_a%Oieh>J;;L%$1*y$TY=8b zfdB$Ao1u&vYSj(9#8^>5G7P|_7L6tP3%s!7Nb2&Zfy}FdqEU3~G z0}Mep{Dxs7d5>OC-Y(W0c1JuM!GRlR(&;?0b0R?Ifvt%DCOKPrDBi&VF$ z5@6IFnVlA?4=wK=TQPm0jZ>q1eAwh&mktb1asFs5jYnfG+8>IBf$of$H^4QJZi<%E#AO&bnO6lr7^sY;iuWZkvQ zozhb?ueVrd@&zG{i%MY$e0RzR&uK{k$J})=kl1ChroZj76#?oq?#-<;1Bp8oJ4W*7 zXG6&kKv&{vN}VZf;+^pw={xzzq$?z2 z9M$rB8A-mPkPjsX!;BPUH}HOsG)oL{b>bajVeCDET;_#K7IX7mwDd=TQ4Ud9bs1 zv3U}*2RD8rTfMo=UNSMs=|(A}K_nT*yaGNOnngthb3sXNrxjZ}Sm^qmwcZvynRD_y z!5lnj(%Gm-c4(Ofs?ywT?Y15k-Y^2Ip-FdgXo3t}{!q9BF(^9EbOHGozD|2XCHcucD z+^(kP#g8?!38FEuf>*Z!eaF}OZ_2ezt&}7d1Qr4_$aT7ZrT&S06rGYo$bnxsA7vL-l52}^}flQ44FTf;l2HaF9n7Fd$XbQndL z<5GNXt|Z5}1ORsgv^CHb*@YW%S~7Arv#j>hfzGv+04GS@_MOU&?0L7mUE6a^&n)7) zwsy={@mM$YmfX8wsB$Yc&7!!yiLqbb)KXsmB|mylzd`bDhi#^by7m@$SAD$pER7uH z*1|S+zlN<5b-$^O$o97A>~BKpiR3GvkH9$6eT~4}*llNFLx3TyIl?6^#M&ah)zx}g zub-3jGtFV}31DntMmKmy#R;~IMTBK=vmfMUDZ?Xo`}JWUEcPf@C|)c`Sx5nu#*_!U zsEKT9AAjRoC*67{Ioo**UUtWXA2$`r>^G@gZ0eHQR4W~v^an0|3R&10Yx`_XwNzXa z=YQFM65nz2@T4RnmgYvnGlH4T4B}PpZf@oVix{mnlUp#VH#vv8g=Jrw=B_`c1`j-_ z6gAkp5>w^He%s&|;#tNz%(}O;w=<(lTCcSq9Wt=n&xowYgF@*qFAk{%mqYn}XSbRv zIV`{=91r!JrJs2}!C~twfwxq^!`91Nbc~79>|W%c_u-d8l3{utD;uPXOm>SG*a*^( zhXz^}b+|yzWcdWV%*@x}&1o4+27(Y+S3YAvK)o1(uTx;_NxelS-%E>ddcts`B7&;hBzth883TJmIHw&v@3U7T| zu(p6Nw|L_CuXwFRxgLrAY8t?jgbf{+HPziW)&-s&$t}yOcBig&2d0JS)DiG~P zSGsYT?UsBINh4;8e5IV&esM96-Bw!HwW~LGsepekd+^H_KfDiSHvKF)tVOidg)j2k zlo#701F|pq{!P%!mmZyCV%Jm+wv2|CD9QN7fp31K#j8}@i0%t(JssvL-S+A(Q(?s8 zYbM919%Gm#a!}=}!L6x?@|CA2fD(XmrXv9<3ueUllbSDr(6;@hZAO%D=(v7m1 z=pyL>DdX$v}R0@#$49_(CCs3=aWSa@@M}TG{Xczjnl~JeRZDY zGX^4DOxl2wkKG9~Q9>50zPA)cg;-RQi)5Ux3VBkla}Leq`LLDw7i~``^0n250*zKB zyeunIS2Zo1kC*F{t6AN2+OO#xg_uPUL`2lB;@H3w8?vMjaeK(wH{uQThlR2^`A%iK zlF5RgnJ%OU&PYD*WEDrv<4z6d`oy2Gz14R?B6=_X(3uh~f+BmbT|%omujv}Dmpdez+Fd_+HRC$BkxPZC zO5YqSkWeQ+wF?JYBUqV-ThEBT1d^lG(XQ+;l{e5B-TYjG*7VyaT&7B7^TCqj;LNDbryuA+(C;Bnx z*|T)^u=$v~X(w2`1g)RIh+at_T;$E_>exaXvr%85aM(ykj`h{9G=V=oEHMVY*V8M{*kSYtiIh>?I8Nltca*UnNLUwU5nj%L09|*!dV-W(aaG+XG@w@RzcmQG8&)vn zEx6;XF*%Y2`Yx8nq3cxYAPftbBK0$B?lYUbvA1y2a@CBQuR++=E5^X_Y_HPD#ZBC^ z6^3Es1-bLZ=SazIS1B{Y$rs$Z28Wjz3t@cNor^sMM7vEi8B`ba=u=#H2>_v+C_Q=v z=A-dKHu0~|IbuU*j+ zyrC|mx1n~ttT*D0g7HY_pEgWF2aag1r>0ExzM_e7Gf7ex0KKr{bFgP14k^IoHI_pw z`?W3whe1NUgSoIWg<#?Lec;@`%{0FesVsE)?7{blW1l>%N&+lKfFNl%D%E2?jp$E! z{mOi`8C}51ttCP<$%ekSJYqTo(_b~J>1`2U|Ib<6O*;B2I_L?Z=vB1PcSv0HTN+5C zzS2_*g_Rm28~Lci7L1kKlShxCd_Kd`RnM@2N~wFVh|+eMa?k>@nXQOygD$K@?vSZk zdFF8v?RaB1`VeTztGs6MT=x|vMN<#vR}~uKd7P1n({39Tu#6y*^!`B+t#UJ&7->ikC^a&?yQ%AdQIl0V4|SYw9cckq_^SWkwe(lHy~YR`-O-PFV~q ziB_-uuNmg7$L~nMw28595NV6=C8bPk(*4fwLwiF*m$h3yUHuK%>_{j9-^dwv9jjpNPE(Zzam*AQQcc~b#R5uOHNk9 zWnB2FhUatc@ly-XoXjUE)WJJmVAoQUB~KYg<%@CJgCH{{yR(v*I@2x#T+w%3H)2T$#&=s3aai%>TH|JEG zYqD~6;;0s3r`+FsysI@{J{ewbCl9xHNem_CU8Tg@GMc$oq=(`{+uaNo5*SiN4~Iy1 zY_WQP^rt0PCwNcZgm*@hj2MD|~6F3Wjf5m!$?43&%kagHj8mn`~!*-p>Gc@S8Jk!Dj+bk+D|> zit>kjhD76j#gHTQZ*~~|YVwC6*elKovpIekFrcBL?Dou|T z1m0Tx$mC1POx2%<<#2MMyBqRT0%C#dskbWN)pu5KQ@MSRd)pdX7NZU5|LhlA(lM3% z>S&SD4(F}5yvvjtAyf&A?i#cRFGnWAj_xc-Ms+{Qn~){|yn~H@6M!Fn@#K$e>C8ET zxOL#n2fN6(<*NE_?>v~X2lp~RzI{ADz?$Os^qt??ayV}PywO&i4MO<@^Xhg96?l^i zKlbK3F$IAV`Ce#x@uurts44CS2G~+*V800AQ&tl>76IgqmCG`*cJzpt~ibF%ixqC}tb%CnHU8$DZm3ab(k zLLT+L1yO|Y6*3P8U%R4+g3s)Nz5dSp{rmLpsv0E;y>M83a`i*U_BBp@pXX`bSKYly zmd-SK@inoo6~X1)r%1A}B^xuS!Q`D5SmGE9xXdKSD)_{>={*tRTEIWwE;$UTe9$4jVc;!^jJwhq1$~pF7H0GY z8z|IMFW4ExW+jY*7^mx6BpgZCgIuq?NLap;)l)vJJ~lY2kH?m2ASrG75Ut-m0?J9K zr;b6EN1F+~b3}O43GA(}5sCXc!m}cyh>$~6baRwt&7vZSUocGynPctO65Di)>Cp3Z zPR!^e*5W0alo!^fEc`6CUDqH;Ywgp+%KiRZ$nsk$O!Jr6Vd4obE#nKDpFBsio890_ zzmBE?l!$LYO#5li#S2;`K>4QB&#@m;Kgq`_Hw(U$BbF}g)|36`!cqk_!7>9ua1ROgsULWh`*aAKAUIcz8c3f6o;ZUxL-5BM$E?YWdgmkFZz< ziP7vombF)iqj@kRs6>@kYIop|3DAi>>A|x?&HKxA=p#yXx1CfV2`c%lDqXD~0VQkk zrXdX!M)y#TcfTUt;IZj5KSag1axO1}!7?Y_LmbY2^$hT{afy|Bff%GadO9n_BYn?{ ztm*TXqV|p!6Zb#F-U3uZ>KI#&QD%&5+%0&4m!BnF9hDF^xYpi9v}%DgJzX=F?4X(7Er$1#xk$|B}ldr%bBkp$+h+W`9a z<|^xevT+JF22u;y7Zj!jXj8tP= zma2=fy`Tc#v^H8Jnbouh;;+UhvrY+&I0KY^}V%$C-g-1v3ZIo!L$Qm#jDP zC?Wp+QK$U%Ly~ft-@FPY@2t(iK@N~&3f*gpyTxW9^m#wUEV;y=<+-1aZ2hYS9UYk$ zX>}=x&RE~|H9ij;-1esQT>)C(^{A4!N*w<&xP!g@*J*mbmsHx%4IAC?bxg0P58V6i zJJWSw&@LsvvM7OB>Z;fK%)ujFQe0i6Zg@fc+=*m2j97d9>Zs>NTs~vw$TFz^iQ!7l zeJ+IV>#v>WJOy5vQ(p0w03%(W>CZQ7EXE`mE`Ha13QccioA?VvCy0J-RDAn#F7MLk zS+T>Pg3DE{#dH;94!Xlav-$Pmu!+lazbVoUQJ4jQ!FQ1x;ze<5Nxak^-^S~_L0{;W zekEmw4$rUVLpxj);IEEYj`$qC32J09x^B5BdgRP*Oq!%QbeT=jm?b z1?*L_vZnoGq_FdRCq%}O?({0t%c3I5hBV2YK=QRT+O*>grW`c?ER6dbfw=*+2!g}D z$hDRf*8L8>Z3sulai^{ay$Ywb5$p1pvw;La-yV@JYMfqc+I0>3bxg`$Gw-1!r;kj+F@+9oR=r?SMPQ{3GImcg;>?=!NJ*8ago zkoL9j5=d(SkG3e}o+C%~q~*}52!a|;Iuxtc{95o@;DnhWm%H;9;v!n@5zwr}HhT#9^FoiYN8yz!LlTZR_WJFX1o_~Ug& z*Wy=&1TbX}FS}?0zc9)={LY_#I`rYG8u_R^{cSNJ!{=bTNm8{w`^Zju%(W7_?6LAP zS+1gshOlur%-QnDBVJ7BYTGZDFIP1HqOd@7CrGWnf`hzy4K&!*l?K7Qp%*y)p_WO4 z*zG#aC^(0``b!LNF#2u?<{2$mSPINc;t|QGf|S{2;xJAs!=9SjtzW`^ZF#fB#u1&H zQ>hJgCS&^7KaYATLc-7hV6_d6X%J%aPE76iC6KNuR?Y9XA^y~bxuXHXD~7J{C*H=2 zD`7;p>7mP`@cdb^<_chl`;rp357SEyi@mGCGFhj>recMx(vlb1?Aq7%-)Is0l$Lv@ zh?OH0*1`eA>5+eH_*DVXi0gewug6)$DHI-k1PeJn!WXLUx-`7ej`zf6_?SdBX-0W2 zMpMvc5^{OC1nDqP-7usaWF%)ywop|hjD#z0Cx@a5oIlH5W5iaM(bm)|vNAE}Q`Dti z`}X%#Oar@g!h=MTgD6z67CcMD=h zofy?e`6riOa|!@3a!V;E0TS*xvC`A-!|KFP3;Anf&wBi95e0wVr1_O}Z+DN+f4Th^ zWi?C8Vv*i!UK|{|Cu@S~*V0w(*mk3UAIQe_1XYF~ApQ1OP6rbggz@~Ab@YR55{j~I z=lD;FDfxS7y;o1+Hf7#1i)q%0-x;)VfaIBq0* zmall)*w%68`2M}CX4b`VLjd~DMk(qR#2{QfoS!IgY+vW+sBfX1Nm&v9 z3x#Qkloe)pj>OLkq2p@f(Y_&V@)7t~Po*D%_&j{0_j6+vzLf5l#u>Pxhgy^eO7k5cKS$8<$j|_}#vutvo{pzA5uVht1}k(Z&(sL7yE7{Q#YuFj#G{BK?$E zkQ_anBy2|VWQH*d&b3&l3MUr4Dtb8^O`_BhCqdGk!4H@Ap|!dge-Y&zEV26j%C&A_}u=_4+XFQJm{dBv}& z4sW5y`PyRVQO#pAm!4rj9(VtRSUn~uLGhnb(=H{Z5xcI-CfQwpDP3KBP|wqr>%FAQ zlxqPy`OoS$zst8=Gup;h*p7rZm@@!~SLh^)%kjCt;kE-9S~1u|oPC>4no!kVkLba` z_M~HM93hgnzF>XdIA>Y2+5VJ;ixxl3_S^Kf79rBtu8ti9*r*ua;PAhe(Lu=NzS}A| zQ60BS`?u7!;g>5z!*CbwPKG`XKGc^fQoKHnT>pp6`I@$^lp*p@oM8c+6Gw?NrYvEF zYKwS*FX*f<8tDfK{;mkXEWV!hnH)RDUL3I}p6fO>WwrisbLzqciI3jEa39?+;S7a- zPPcB_Dvr;ujN@&MFU@_X`rfGBX#A873Ie^H$B|#J?tfjI*?{NSm^6kNOkvUS=DQ57 ztcYt3=W(|bxdcEbdiO$fp4IiqXg#v|9=kA<^z_H$qVbn6=s$ym!IJxLo^e^bi2^8+ z1Kxj&v}f&?4;KE&9&X>8n^YzenwH!)>eiVtbi&2w`XcR8opBYtABPC-(X2|9=z)GD%=djP1v~NGPQ~;3wA%h+_~&?iXrWD z`K4-SthiWF^C_LREmGk@#EsLHTeiA4(I8Cns_SWFQ9s@SJeGoT`rD&V>?k!X|Fece zt^oMMQ!}YV)lFOL#DG#4tid;qi{8yvIbJIe`F6K3lkr;t3gexxLuwi;LnCmZ51+Ts z#3wGrDifmtD#AVsNSYSr>{m#?Sm1tj~rl zRP=A%($O8bt!^tXep^cn+ahSZOP zS2zi4H$H6>XPqM!6J16>9LV`RR*t{-T^xzFexTTATYHz+ebUp7vR5qq|ZVsRmK|)_l=N!{QC5qaI#14yd~P4;p5V48snKR z;%}uXhpZFb@^R)*8O3yg-k?4ER-dfA`zi)>NpS03~4+^>3 z>=Zh~XO=et$_k$Mkw*VWBbi^fj2=zj^u&Aac0Q)%QS0hSk@jguY1i%#-5b&K&d*w> z(@JVa0TXi@IQ@Huk^b-0=VbUV4!P|QN1f~V-Zd}mY%10teFk z@copsvNJy^Gi0!dl)W))Hj#O4GG9@2ZK|ktvpam*C)K&w*v>83JTy<5#cpL1TnGGU z9DR3}Br6Kp7vJpT1phd!+VY0hU3VP*h8I#Tc}}SFz>kObtzS~fhV&T}3s0;EccK&@ zy=M@V&zxA9h)zpp51;i96{%Y>UD}C^Hps)=%4OM z-1(BbH5JVim3gaP4H(Tdeia>ewTbT11}B+)jV)hp7YQg}W7vg;+uB6Cuvq#Am83LW z)3rN7g!xgMS4wf(;Yzs2YOUFfv)9^Lv#3r6jF_QE7QcNf zh*2APq+>XF#@G<_0^%y+LHNm&J8j+?YqmV0^DB*#NodFR_uusp*M?6xeThU?{OI_~ zQDN@!Hlc-Ktb9V+QmUTGbRSk7eB(=g{nCe4N64Y9=#cu#iN8Yu^bLfPq2{uY=-7+& z%7w8vJ5jwO`sb(hN`7cy5TFC!^J`?UDebHmd#X|4r8KH663r%UO2U7H(ui*|Z7h0` zmatRBH%3aaJsY_YpSAyH*tMN(Be4$aGXgU!l|0Vmecr1uUk!npANR)O$e^O1z>fO= zgR8DHrxe@9kpI0$s4hXm-m`Ucyr<&IM}FR~ls5}rQj0m?3Qf;WTDdstG8;i+I(LMR z-0WoDC)Fq0^NOp^GEA*`i790*is*Kj$=fR5u$5>QueDinzm~IJ40e6A=dlK&O){I% zX{(teew>%+IYP;k79dyfq!9%c>qB z!!bg3_|RYQX>m?2*rAj!mfgb=ct2Ax+#~G|Q|??vKy< z#%SsuncZQk1d3;j3DO2v#!NF|^%yetv?rd44u5xBa8Lq}VFSThCx72La4Z<|Zv*doLkv`vuLD|I-)yA3nx^x1xVn?Ej4+1?`V*M5zW#1l>n$fv$H`a8v~{ zzsdk@n+3FA01lBGD8)MsbgXg$yUa(;RF4CIod3jbCyLhp|3kTueGVjDVVl$UU$uXC zW+1%u0#sb~K`}x5*y31p1kp=p4P&8^9~vKuoQDhoAu{nnfAIr0A+@HVg%sl#47UeY zG(qn=&4=X&Htp>`qxda9jCwG#D$Bc_KfkiV{tphOa(TH{8GK?!KmEzCD^a=qb5?c7 zGmAL^7h?!-g}|aRAbujMzOvw8WRT)Ey5ln%a=%h?tKhaKayTd?TmxZl@Tva`c#W^> zSTnLf%9wHBKCLR4kV9PEJq*~yB_Pg`=Rp&7=4sx8LB|t%4U>duW~DVRw`>V8arRd?x@DO?N$RmC z4@2Sz+E$^N*WRa@V3#l|E_J*F3$|cr^5vGgd2xH**nkV^;HL+QL>Z@$uQw}coZA97 zF#2cf(x)~gV^FIs3I_b>6{dt+f=~K<)|70hfNj8?&h?)r(=n`v(Wqt zTfJBL?%`sAv4K%T^Ed){%NNLzbd1cR1icaI5CQN8ggFUef+awGS_8hzT=p~v2NS6)>YnW$OCYe*P*H5n9i zEeqd&hP*0y+6EltXB*(>+8#ah)ggWMD~XaK&zAIyrm%^mqB`ue=7w1w_DUpnX?n+L_=bdu7_` z)pgUxSJ&* zR0cq%CEB4;+G+hGe~e7$#2^T1h8(HZ_=*UJQ3Qhc|l_N^S; z_(Q9c{L(vgc9Vh|`z}7uA7NdC53{969AR04k2W2khqF$4;~3cw4L~YzN&&PlR6nwI z?t>TF`ldi66tVuBIxEuFAYW9E+{QzxgsLsjnTCW8xn~H8UcX7&vsjxNRPcK;9$Y1F z!KY~Aq;q%C6IuJF(DzBAJa0jpCz>kZB;4EH2u4G~s*vt!#?APXQB&d%kT16{Y>0 zCsJptCLis=cKPx9r{&-Wks6+Tbx^BeXzRv$^A|A}J{Nx+f4YVYPlGguSZ*TlnP>B7 zKDTeVG~{0k+V#U=74m@yIg5A4XtFnc^!WCx-9fLM@7Kundam-ML5|q;^+}Nfvwe!P zAx{ypLERac(a-*UY*peNv;%SZ9|xj)v-SVr{KNgQ9N=cjlfKXp_@t@x_Uz!ED#qTd z(9vyUZ(VyD7!qmgFL3-+T5bDJJDy9R@G}dd#rs=@d1?P81+f=n+WY<-BR4{=X!_3A zTk~Qe(3f4`Ir=Q}!EJ5qAQaEJD5keA_K2Vw+%pySztA&k3Xa;!DR%oxI)QwO-UaW4 zT^4*ZMoW%|bXe9rh7Ij(>pg&^-+3Z$3$1tguY?ojQ$1VQsxKG$KkOWf3gYL zPMT7iNkjkotws?YHeHJxMOTh~t@0a#sGwFeG}>d?S|oFn?=3e zJ2MjN7M#%g?G=`X6x??)u!M=|wUiXL|Ao}Q3U${|^`|($M!Pc?n|v=F|FJCoP0vRL z_3Zk;C$DbZe~u(msk0QF9@14l5S5j0dtma{p-)Bt-lQA&>&JKQ_j}?sXh4;!7Qt_( za>HhKc#WnvbR1l3hZtyA59a0kYB*0=R21(`j}uW^2IKGMTno>67t(Pex6&8JfMz5e z1u(?TrtqgM0bL+=4#{^U#e1WWA9O$D?V~e@$Nb!v)`EO0Ig7Hch5lh^HghojoGlkT znuc+oz|ga7mWhGtjvRJ%zveU=vEzHr$LagX-$ed&3Q@V^dYPulupi5T*nLv%ax9r+ z(IYi}N`p%QFx7RvBo|OYx)@mo#m`CB5>bjQ&FC2%A(mQtI$&GXP9N4k5pM{5bd`-m z`KJ)dW^>4FLr!1I@3{@h$o8oX9kspmSc$a=_#(ag{M|mr89C#be{vFROdIV9qHAUj z4Q7Dt9zdRLS#45?XE8aT>0Pg=^0&N3b_{Rq7VlCsjcY|twv<4!QNp=m(_wB1=-Rg^wyt3{& zI+l}&PaPVaz~9PO8mdJL?^CpOlqQo!NzPy;x{EcfCL#8n;BW6`#!ZYN()P=5$`khr z?jdiQI2$OBnMja^cqRB>PD#6|F=Ln8b&^+`E~%D5HC>8I>t!ib6`z^Gxx@$=d}>3J zmdR|X$bq&`e3jFd&L(95Z^ZRfr5puo$8rkR)Aymw#F65pn8$r-p=CRi6b~bG6Mab| z?zSIyS#*v3vZLLYT);?WZ8j6&+O6k=KWtR}aOl{3uDm8HTdSP?&TcpE+aoqCt8)F% zKNYozu*n!RTUX_)Kk0$R5mG+~E(+0s_T8uS-3%D#~0Yt(>#U;5qTE z*yOQ^1NS? zvm+S=$Dp74eVzrVEdM;3{pMfQ-fZr7K|MRyTJFbTRY_mkmkIE(v4#AS90F;L4gLaj zv>z>pKdb6rWzEN}Lx%^1^V1I{B6(h``F4gghewzOu)uQ*f~Yz6R8U*$*F5$-v-z|#}8?)?Z0 zcwx;tSR7N2)Hebw@-Ori@WbuoQB|}GnmE?czac}OG!yj8xUCxg;?Tz%RWwgd;GRQz z`8g~bGu?SdSp%0z3V+h)XD$R}H1K3i-v#*@Bhz4jm%l--zR7i@b^&M#7p+;ZwkB@q ztK!=?VhO1XqP^?Irf^O01~9ODM0#(S?7X$7<92&!CLg(xe8DbU0jQ!yiJw z54;3@T&O4lfM>|<+(Z60K2hoQh&YGh?_EadIwC}W*WY{z^`yzctVO;{w7 z@wJZg&48CY==W8W)5+HdfvRte+*sao_jkr|l~?1eR2Xe260y1+CDVe1%=FEHt4FgJ zR75NvY4eK<;it{dMvWom80%3;oPqp-s&4O)>2EfWItHZn4gMtalO|=I102k_-A~s~ zs{$5hdbKtku35}{Z>W@iiyF!8DiWCLi-i!@p?xOIgWu0x7-3y>gPffqgoXLy$afhK zxQrL~FD>uu?y39>p3Q)#VU&8c(MF9?q9+W`bPr(D#bS(;RNYJM_(HmRCup2Wl9D(J zMhN`YK5YK}&9vH3$A2NR^^Xx>fx2sN-D;3epV}g^GS4$l|BZLBgD^srxHayE8u6uV z_0TUTtyq#BY0&q-dv?sHe++{i=~`@^k4%`dIb0PQ=A+3|rPbp0#Ksd=@}jvx-W4ya zSKU%vhQL$%e5t;ox~k#YDvOlx9TknOCNDE3+wABn(s5CKQ>{-&Q@X|SvhU48pGumo zw{&Etr@#FxB;`k6<^RShI+$l|U}$bE+)uZ7(SX|k{}SlB;BMXLBSmQ7wQ!QOzVNF( zvrcB>Ed$`U){AFlxr2beawE>lQg{n-8zZQH@kNz}lhtln zuQ%S!EeDw$2(H2)d&LwROPkUEhqbqii|T9JhLw~O>1G6#p}RXpIs_>J1%W}j8R?Wp zrMo0W5a||0x(1Lg$sq@3fB}YhH~;Ip?(2S^5ATQP_kLuUJu`c+z1CjmaUSt}?T*eA z`S*?TZ;MZNKh9@vY?8>0d7)g#uX_omDGJ4Yhn!D-^(#$ic1*w5NL_kmQR4G0u=Tl; zU-c^97t|gGj*}B6dZ7jmby$zYH@C`GBlLpk@U?tjZ=3HX&Pe0zK`#A09ocU=t2j$by0>jQUOYLufubhe6D*=eeMX?^Im*=;-ZBeXHa^l!q%c5%ecr;t>!2bP5OGf{pL zc@Ku9&!TzW0M_0)N>Z4KOKkya z@AzhvonTDOM>JO%@ASgey=>4wGSlNruZ~N(;C9yWeB9k=0*%X?0#ROuf;HCO^b}na zyF&dwdBrtK_CZC%!bo?&QS?2g8Oz`jEk>HMN*YfH)H*32Bw zYXcKUwUSX(lNOm{Q^Lsy$?KnSeD+LeY&+6h5XhJAU*cLoQI^(X(m)r3i)sfeCu~nJ zgE+8MgIXv!=;!{pTF#wACc^rA0S-eq!nYlaOmB#SVa%9OY+r2EI(&;@WZY0?>jC{J z6&XGD@fE|KQNaRvBd4w|vPHC0WHTr;0-!Z(Q7roT#IP^s#nGsX0j662X)SulXooIS z96744>D}GgCyZ-BSB_m zE@u4GB(w}7lR;I3MotsqHO~3h2WH7O>Z0<9;)I_h)0nQ`pZ(sA3jC}$J4}6Kmsjb~5 z^+Eow=RG@-ppl_RabwFIzaJl;Q}`U0CyYPIW1PtDJbZa4tZHv@C7-C&37+_q=Ed|> z_5I_^^MUI>&&rCl@!`yMFc992?~B^q=D($)*}ohU7F2dexEn>-?OQw57Ntv3F7t8H zLVHC4W4~7>0~o$q|LkRFak2aexsGx+JHD!;!vvBHQF%uHT3YN=(yRE^PWYJKlVsV1 zoi7u@Ec}``^>sUiC1c^u$Zp}wx)nxo*UN*x30YGv8`@UUq2J_{q;4V;_rRceh^!vK zrO#YNBQUi6qYK?%okjG5oPpZ@QRhrHW87=}shH@^s>q*K*a3WD@qycgSBmc|{(+V5 zOTvSgst?tHv(4@TbqLve$>a92-h*Mh0q2_evM0^|1#i9vv4ItQoI2`9aIp% zfJQTGBP9zCMN2U~s@_pK7BIKnSyyNSOxe0P80k?%oG5<(3-w$c9=x+&w?$-@?I;U* zYk3tpu0JUA6nGTtWWlf9Ll1~Zb`<^ZGWd|JS3sB(gR5nPl_yX-c#cQ1&QdBgD^Jxn ztphYvHvk_pRN`3Baxhya5|IJ-CtIv_g8M8Sc$~{}+A|a>OqV5Ys?*IikocJ?L5riW zA;AfIkp>_9X5?@8WGZ{Axba0~+PSg&6nXXQg5Z=P_})An7r7_N9Hig*_uV-^r^|!q z6mx}Qmo$ne(%m4FLVG;%kerWJAh0Ea5YhN;JcVfchRX3#=5c9`hk#4Bht zxaLtq@trlN&lcq8&;lImM!fxkJ|i`+WXs5(;Nb1=n|~r4@OJpLl7j@t?tc}$dMqf* zyA%z%ysnD4NDa9N#GZ4a+LUUXIv$L_&<*QY3cebb->!fvv}P*`j7^duv`N1ed%#uqREm@6MBz)kUDs!tPrJE)Q@D)k{N z=hHMfs-x2hUGc5K%(dIilz-(68jv9U{H6O~ULU&HtC!?^&%9uHX=sS%8SU?_{pD!s z#~n!q=*YOSpndO;Tt1$4iH?o;pA(KP-{*g4*LPXGAaJC5!~03jDzp-gvFE_>4nsAo z#}*W5v|IU6gzh?w86OoD(jWwb8SpbH@41i+K+3Sr_lVvzZp>n^=x`_th6dD)gNIKGW)or2Jh6hNpq<(s+CWx~Wbk%_Pe^eOp?d8#RD{BalwZC7rbIABtwFi8OFmKSl2<{)FYl~xDKSr4YilS-yWciL= znJ@XL905U#)&N{hhWGydT;77$Nh6UivvB*GP-uH)kqmFy>*#sf0V5><$G*MQnilRu zq%z-yg(|WZwW0G4Q3FO$}uu}Z>JWcFB>t;@)0lXHk+#l~2t1(l7TY7$e z{vCAu;{DDaIoR4dp^Kfq3B#UYuf25tqoctn3iC$4?3l7ac|tgXQt6k{n?S$SGr8VF zFDmsVd9$fb*on&0sG(28Yj(rB%N$^bxU*3+*3bd#?S1O3r2YO;V3I*#5TLLzwYZ2z zT54&feF)!AwI}Nf8lk{#CTZ;WL?eG)bBHP~vt0EZL{BgR8`J}Kb{TYn`b!IqeoQFC zg9bLQ7HMtg>kROy=0HLkqWvnSM8)x14a%oE-TtS%E=OEpEjM&Efng;)4J@!s+XD32>f$S2PSuu{QQs zEH%7uv3wY__M&PvW}tdKA{>kMB<}_llyJSBb&=J1o(0c)iBx7fxF+%DyMN00_lm}P zkCJJ`-tq-;1?U5_iEeMe73^5cWQ4{|nhN65CffH$?RUglq+`DxXy=SU=MLn@-hk-45W&2L-^uYfEsy$YR`+Fu@^(h3 z_wPa+0a?G9fJ*D=LW!Q3TZv#|r6&=;r4LMok`IPkUU(rW%dtiwnb`zGKO#<${6@;? z>D~RK>qlTWWw7|oh2@RITo0}qXilNfT1W)F9J76u{mZ;nR_l9voBW_ zp5J(c6`v8xWae@Vo~t}Y-)ToTIJQ*B28$V(9K&YC7M+D>-B&g;R7ntLJ}|1`n?|0f z2Uf!Hf_*OscAqxtI-Iq(lXARaB4+(Yp`)4BuabrJPKSl`O%J1JTI0KH29Faf!M@p- zYaWvF9_7J`BklLdz}}BOY)(LL9Oos5WvbQ=evgvCyF6o)g_;BTKw2&up%8l2~b#JNGt1G0U5Hw4*mr1;usSZs- zsW?wrOG*aw8hs~c2zrlH{%3G;^llnp#?-&`lihTbJk5Hxk|7!|_0MIP3U0b~mp+B8 zW``L4^j4j)x?JM=l45?t_(#RVFrp>H^&>^?<*V6@Yk%*hL}#am-y#x(W9?FVk*9J1+-2 z+eE87FTQlfI2UqFuC5W_m?Phi*>`=oq)>1qT00h`NE32Y8r4ZCmA0_35s*Ac#7r!v z64eadH6<-Y#qpm_g2a;0KEJFP*X70($BaK2EQG}NV)XRt+uHI)Pv|E<^o$ZtdK{D?e zB(#P@PbR}#yQGsdq;&VSX8?zSk=3Gv{PJ!Cy7kS~iE1M*aCyGN531)QE=QBb&mBMk zox5gJ60rQoD*qZR*$v;{G5s0^4+C~k$88{4mv>k^=61tEX@AD4V({0YZG>0Rx#Gf* zpRLCJQ^C!))(=hNLBfBfvnJ;i=UUd5bTnpts#R?dtly~sMz7JA*H1~86Q5CLzgj+? z7Cn9`%iqDdWm6@)qhm(vd$rhg#QUp}joam$U2-LRyCPirBrB&Vn!%Uv;yP>|tTQAz z7l_M4lmVBJt6k?}t2R`xD^9P_G0fOy^-qOl z?f^GxaFLvTl~632rcJX);)#o$+1`}F2F=5k({97_Qv)y1xb|Gn*!RUBg6X|B5oAq; zX&Z_hE#?t<3v@r%+-SN0Jz7Tke%#1~S}LQb!VC2-Pa>b{-_9D@w{s8QZmMJwSZVjX zuKEU0P4|V4IOi9q)vi%ofz{c{jT)C$Jidhl-jl)B1b5q|Gw^!|`w#ZrxC+x63LbJD23EDylF0C%s#`evCTS_o zujb(Q^eW*{S>=_E&vJDJP00&jcLK z%l3En3*Gv6XT~>alOYeKxtSQeN_x;Fwix2D5S_tc_=FD`^&(G`sqf&6T8>O zq+A6iv}X&7C*E|M4R;6gNRAyC>Yw=7re!-dZVVqsq3Vfts|cOuLs{&4w44)6{ofXO zOeQTFU1OHg?(Y4;BDAty7|hI$Ht@?Y{9ahVCUkrcu-Tp5pszgXAL{X4eK-OVkMF>n z*k{`t8TMH$~Wk&DzYLwWi!9NT*o#xhR%ENNwQd*N#gvfc=&{m z^qR1}gry@~j!Jj20k$Bj8>FXn?u|RAPI7Y@#HnCTSzE>^j`5;(SlSa1__C35FuYKs zXDPN$%n4I8@pUYCVmq*xF?LBO&!K!sPV5{$v(GpxI8e~Cri`q65X6^PHseIhGoQuu z#E$PpK4Rt@py*%U`~4$SIbY;HwMsAr^CU+L=}w}Dd#Y}Lw1ZI~`RquDRL8Syc+YYM zTkE5?wVhG=*pW+y=-F7(TM_PLo&i=Z4fgyeK?k19p7tW<>{l&}7_kGA&Ed1#wZ8pN zc3XvFz^lRrXBAs#T&Au%3!^y{R7E_0I4%e#wfW!qiu7b+DPbu^Ewk*|Geu z&0u_q`MnOQ*4pdIW816Ys-icNy{YwN@1&^8&?LfWhHs(_kjip)J_mk_tL{ak)ZG<`hy@1n<~t zjPN=+LB3zAG@ck|%cqc6PFp=Kkm?vC4YnGrPWLZLeZ3d;npkwl!8wNoOGU#AzZ<-D zv%Swe8cdy(y@Xyrj5_ku+ls${d`(?kd$LpI)p-!}7uUSlMsIrd8#7g}4Va^vKn-g7 zpmwjaosHhAr#QX12@Wc)lYZoGk3WS?^fisdq$i8PCfOPlfZuuLvwhyXcnw*~h09RX zK2Qo$XT$n>`M8hre2j@=GiEap-k`j!>fmBD&_QG;QDXF10?w-Q(3Rd>&#e6CyV>v> zT?HlTGnP5lU)6MFOMHqakItciT&6zEWw($VB9^d>Ki7?ejpzU6YLt7#9ShQ-+0?%X z9^3s};<(i)+L{7arF2?6myLT>U4mZFQn%>M} z+62giWrTI->vV%eGMq%FU2gi6ZDvF3O_bIG>S~`6GoB)HlmK*1j47;&Zhbq z=jGHRfxZR;4>hGVS9X_zf(^p5DhB?kueyiAsK&e<_VvNB4HpLpuHAB6_g(_1s5uib zol^agzZ=?;g$u_|$_PG*=%1LMh!&8va&4Rb^rYwULWL%CjsoyS%T##gG+vIsjJ-1xN(uzT)ajV(`sMc=zivS806@{a6 zk}dX&GKPPCfs*=|2%v5YMu{AjPO!AJ(i5IbBhRG?2fsGE;Ot=jRR!HzMRoXbC`|vp zEDAbKJj8U~U<#&}F@8a$L08j3Ojn!$)Cuzej2R{Oi|Q*`^JuEE>K2`SFQ<&~dnzcT zN_H);2ZN$5s%hR`{RLgKTu%gD=)kJUZvk7hei)#pB->b&U4N9J3h-abbOQxf{F(1s zE(TX3Ii0en?u8ZImjp?{8ANk zb-@y^LJ*n#c?{fz=7Xh+bvTQu24ON)FUd-{5>Z8AeoG#8-9LwdfI~G79Y}L@Sh*SU z&*c>Yix{r(fPcYA|Go|5g$a5uDEO5UdewwjxUxO|=k@i0FkZ_o`}+gGsAn>s0b?Xr z$VJ>D2{^q??&tbXFLNmNXS~9H1ibeu3b4k;!gJAt?~=@5L?AvI-()|Nv;t0dtQUdi z_Wuwkm3jYv)4&`7a(HeA2#O;xja3$YF{cus7g5Nr>rOSfbS&`mPI~~wlOr(znX)0p zK3e2snq=N6V22tsNF6K(x&mnnn+$B0{eI2X&Np6Ln_dG{Sa{-MOZ zn1|aHUIMjEIcw=Zn%n$^v$PPMOphZ{aXz0XC#wZnk8CpKm82n!`R#uw?(a^rt)eKFtJ<_3~HR;yX41 z`T*;VVzVa5Yo9l{(&85ec{rH1E)xz^L~ zNU1^xFmh>@T|v)t($b`CUjoAYh27a}ECu0|PKspjOb;jZK>Pwc4?`lp7ye_W;W~y{ z4SXE-sTJ?7+%!xQBH#M;r@vT#+m#Gy=L5&5pQ)}vLIj!X!Dx_%UhK5FYhDErxVq*+V3GQ zskdP>Q2W9*NWs(+-LVPjQX4Nq_M7XWO>=k9k@FZ~YkHo<`#p+ycw38_7F`nR5J^ zsR!BuuL9D|l}Je$%B~F}>v~(956sg&ml+3yl%z0z?D3N@%Mj$-ag&cZA$$S_Csdjn0e7Auu zagnE8kJ>r;uFsLrEhka^?#5O~9r;$dA<@1L_VKbQ`{Fn(7t7P%@Ss)7mw%~J>-W&ZtAeVL3XIGu5^kIudG2w^iA5{e|^ z(_ozbg;<8`y0g9cD844E`E~G77tG((yeBVD@-O=P{X-pgs|EEy{hK~PI_JN6?%XZGzj4cFs##1)!RPJ+ zdL)2dFT<8~b>lIns|blXfU&l#KL#~!0npZY*`i{u9%bd??=nAtmam*F#oa5vW;RBkh7Zf{_KQJpb zIqli3I~ETZE3%5_)1Nwb{@veI7VjKsZu3}Q?y~U8rcs3UU2XX9reG~=4Q$b6l6gk7 z(&F=RXWZ?MjOjZ5ey3C9l`jKNr<82d68d0@EJz)cfAS3QeQLV9I4|Gzp!SJ!U0^F# zK<(YFMrZxO0i*u`PuB*E;CG`2FJTnVR@#jl#b@)Npm2DLIV?#H-o9sjO7t6Wp!?a? z^)lrfz#IN&sqy7A>;1X=i7FJ`3KzV}5Belp_%q932IfiF=`&%7^T?h&&248No%JKF zouV;|y35mTTBPbh#4BcvzR_sKPMJaP&xfhoM%|yJC7`>}snI3~iYA_X6le{Ofge5S z^4QnTx4C+TQwue|S*|V7P|vxw!&=7*ivXgJKH9u*>YX253rn+MZ;UAe;|ROw<%$<{ z_7mZ_$d#fco+@6b21!BlEWAq|ufslnU$`+)V&Nb9+*qvGZw4R9812c!M{7*|`kR^p zzy2LlqIG;FebPFF4G{bf)Kn^cUgoynF$(~E8NJ3d9QU>Rt#i9idXppIm{+DlFSYZD zBhx4rHz^Tu&jR*Zj`O)hZ?G1JFW<a{-r6? zP{tpP&ttv&g{LI2GMVGVsYi67x=kShK>25U{@;0OFO=O?~2p{9VXa(K}Yfq z;x`W4gQ z+#tV_{bwvF-_PSjyizUgwM*a++dh%ji~%4SW@mZI+8{gav}8$z60N(N4sviv)fDX%o|4tl$^#z!IVGnO+P4>;VYpMx20UfJe1(p-IltjC^$t6!M_`?Er|bB` zu3}TZYuYbe1ORbu?L4iWJB11ln=JG!6YUTf9!3l8LBxqq%cjb+HJLfZ20vu~lM>lJFv&lNW^ETe#^ ztn7|LjZIOV#Ok(ng(Jd+Y1xZFboVzN{Gn)Ufm;-k@6-p|TDvfs9yrAn7Jb78S^{R5^wBt`NhU{wpEI_~I zN%U}0&PiS`}|uamBKQwx1}Pr3W}`uNf?!LYxC$Z*5T(F{RZkn^lYN&&UZfz z1G)<;`_G@;T4_D_ZzY$gctlqFK(8j;3)R2lYur;$PbuS5y&{qL+CDb%Dfv>2~B#5&1FBOTNe|GReNUt zk32;aw{E~>UI}rWY;Q~LOlP;3KN&c5#W&A&`mJZiwfN_;rkpiAVi#RU(~x+QaI4Qe zMXeu6zxo}&P<57WV1GH=m!x}m$_e95Nx#fy|0Fm1ovD8zMpAt0X^GFP?AJCGnxB(1 z9t$PZXqLjGA0GxvB6PMwU{XX=tuVTYCmZ3ub4ljuU3GLFA{&ycQL}S@S6)S(KE)+* z@!v^KWJ7i#59>)}(m+0TPf@S95odk*EAbg;^Zl4@PomTu4g#of4fkM;U)M!Y_-VUPeUK`(K9p2_YwIu(V$=8&a4j9A4G zfWYPZOoj;sE-TzL;bY3B4#yT~YWYUKlU5}e8J3Z1PEPSi{Ic>#jlHBg31fbzIV0ZGp=doFd?6p!uxX^pW8jkZ+L_^7j}XIJj@M!l@hP7Zle_J_(yi3x z1f23?s9{AATx-^?SvFN6rld7Q_|nI2JIya7NuQP;ol8ue^;Ae0 z2%W_+?(YG20aZ=3*U)2@`HzvQfsynP2i@mO*gD|rNnvvJi{5}Qn$f;j3VtxW2@DXqb z+t9W9t*5P`c~zIGkKMb`p-uuDa4Ky&Q2=>+hm z?IuyRUg)S)k|0IrwTahTIp0bf)1jJdbO13c;`a;XUDO-5TAHx=qtZ3^7sgH_WkDmE zK|$}Av~hO=u!pbkDu?mt9XJOD>4_16W~hDD&sEpy$)mMGmj9IDa+EM6WxEcIIq^Rl z{!CFX)psrI|CHvG)~B^J+m8QOUFb;*JPVR=RrPIo@c&u1hd9u9#=9I)qt5PLh~lXN zUVWQQLdP~|bMH}=te`>GgLP?1Z(YCiY!HA~j3Kn;5Q(-7%h~*~YwBq+C+iynbqTQ| z&Cy#!t*sOB-d+l6zM^xCRH44zy242+AZz($i(@wux8D6Wyy|X`1!R({vc0GHg* zMfN9^#9f~*zk^qSwG3D5j@?P(RcdqHDUA$yh-$qHLL(FElAWd*)LM4pWV0w9BpN?# zizmDF^Y0QRypGpPt%X3!*R}SU$%~pmuXSv2QN~`65!-TsZbY){!idw1Dkfhlu#6kv zO}*TR-khfcxJwE?mzTXB;!HnHhAk88)Yx6bB$q8qk569Oo80^3rnc3aMeTX_myVP8 zd;7#2wWQ?xMtclf?d$m(o+!uUb)henOd7IZ%76^RMMz>^5nEpSle{FGq6Yob+#1oJ z{k@`@ItJ_&zPahxy?&d|qlUs${a+YD2SYqod`G{bIFtT&%}Ffn?|s +$fW~5}# zu>rM0&KlFJ|Ev5uy*L2rU?5-V$~uMht~vZ~K3?bEMcL4RJ3V19_4JUSbpQXwhq7Dp zOYPhG&^+o{`@6OoYm@~wVT4Cx`R*GwLZvaYIbYsn{Poutx&{Wu0%Bzh|0+oHX!+9y zbe#>y$hX-~-HM5=rz4w#;ApbLq~sVJd6EySMs~rbA^M~ z*g2#k$&|S2RiQnwd*IcOCS)!3wUd74s9R;yz^6XTKdtmTd?e>XEf?x!@5Ys0{zefQ zX$t#@P*N{$rK_PTx28oaagP>s@V{y?6?gNdkX=-JQ7Y3fz+kfEqoyZ`TX%|l@Q_F$ zip6R>_M}x~?zDU-u~*WQY@;%*eXoC&t2TyoAnCrsH6&u_6-lA5F2 z%d${5!q1rpcz5KEvMoJo?mR-ioQI4(8LvM3q3mJyzJ5CNC|@$LN&eICpzIdsvOvsmiYMTJ~E?XNl59p#5-6}$y>&oj2f-U z7d&;R#2H(QsM@p2xE&#e_!ROA<>X5iC8Qh?TNX1OeKxHvCrur9){j#ynSi zi0p$=dv~GbN{V7G+3#tcB;2i?6oKji+b^gZj4Zk*R*2?560g$%HsPaL@PU{WoOsNE zAim$9Bkx<|@;H#k!(2xTl|jB(RS^S~u_s~SSZ`Gi@-|#j_rulYAonmep~%>N1(L6P z7nB!GuasagW|Dv5s9a|$5zlsy{v}@J|+n#WpnpwbBdyEpUOXjs(aFHYR*&(LonEA#aX$f z>xLlrAet<+prGoQh}w@=Jp?(rGJ+xPIB^<7_Aspdm}}9qj@FMvOv-v{PaA)2*gpPK zjg!D#W|8;KM+iiKcNz0ThJ*dz)ST?TA8)@I5!l(fxl%D{YqH&oF3EdH6k~L@S^mnl z_{o(d@5ed3B|YV4!yz)0wHjY!?6%+p zWhjSCOg-vgAb2r8{UqV}-546$=mDL&ou<1Epn6pilgLfpBtf~dHTBlU;&*Ebyx(*P z#!(I{?M?FyO_H7FAsw^9sQG>q-xqVw2p5cT1RKsMc~4q0KItlq>JdT1texd~hZGcE z6ESw7xDAWQAY!%@OF!njW0k1)bd#`U_5Sw-_%o{koWuJU239>Wwt_~-jY(+dO(SNJ zF`2!VY8uJOd1@@Tn!!PCm<^_T542SucG?l5ST@f1+I8~jFT{PnDG&5X0>QlH76Z}7 zyrFOq0iQ<jB=sd4-;Neq^3;U7F=T(8S_kIW~hL(R>fuQhA|&smsi;Lbra+IHlKssvvU~ zK*&%W9=yHrFQca}O&8La!ERD6`gVLw5Je@jq*EEz&XPEZf6`~{Zhp=)`xN^7&eppcfXMbYm5iO1Xm3x}e%Ju{gMD`Uq4`(mi7>X!XeEogPF zV5AxQG^jDWZMlxGv1_^a?u7;V#~I<71@_I$mm)ppPexeHx>rr*+J0t#>QEGB`lM-- z56A{L6d~>Um)HHz?W{6e$+=d4xWzs)i#?beo8f;IM5c9WBfLDBkKgk5zY__Y$2{8p zqr9jR*O>P$cj$XD_+Q+i9R3t$8o8;f96)f7m&vDPV5Hx(?EAH5jhCT0TSCWEAO$%Y zsOk2egfds;Rn;slpy$We5+C)f#`U-s+{QPb;OVBBDaDCC7rD3wctAl>x0pgDrZbCs z4JZCj_+=U}I-WUxepbKJ8X+BWMl#TX)T&sf#+l=sqpbCS1YV&YH|*lJ`@LVVe)~{_ z@y4x4^Yk747-k~*Go0Yl;TrY{GB=P~)$6R`yC?d2uXp`2J#}hgF#R3qc}MS?rQAs! z_p1;m&B`F#OWw@u+9g%3;;{5#S{WBV9`isxwLT;KO&zN^2*pXt&YL#pfpg2KVLv(v zpRou&tI|;GmY>7*-$PHZsJ86Yi=`nStz z8r>sP$SRR-X1QV@P+foNI=R1`>Aq}@9+k6z4RBoqwk4dcQ4bDY#_VN!v?2;q{NKuE zJz`ql>dH6vwmzpI{4~y5a>wt@bez6ttK7!-sv26fl{;!ZN|mm{D3bnbb_K6VRxf}2@(+*ZRoP^32fXTe540sEvUL=8~j^VHp3 zVquaWigre7TO>U!X_`c8mn}7=i=cf3L48RMpp#O9HGT31m22;|YshY2T+(jx8IqcZ zW~%~xUaSF zY~(cpoay*pTh%rp-IQM;*MMddWGw{i`)4(PmtGN#Qcs5 z5-vL8FOq;75_S_nGi6RS*MR#-@;U3uI)M3MQ`CEDjIc5;AM+WhT;;!C`X~hDvl9cT z@%_YQ>;hSi&FdqfGk}d|?3Wa>cdQkiF8R&N!S%E9)>xh___}8JP!_d}svrjMYPT;i!9`gyuNipGLLcR@0EA%M2RP>?_H) z42ESfq2rNZ%h#>1B%8LG?EJ$9{n+-xmL8)n=bk$C=cs|v0UCR)O>d)@DH$P&I@q99{ksy@=4=L)&-CiDrUikPR@{R8Ig0%%Y5%wG3Z=KhEMzT{)AQW(aTP z5zdYEtn8<&AJz$R=_yemB!ir+;C%5^k|iUp`_nI&_P3ug+yeU@FAtl3mmu1_R*z-T);s0-Fg+%!KZ~P1B@sPU zcTYm_oW4fL)J4B`u$Cj^Wk_3k2I}O;mq#eP} zDPorF@;}=8+cqV&(?!6G`Um8RT3jHVRO{dqJoWprPF zH++JQ?f$kvX@`;k6^-&z@1Mnq?T5TL-Fv?YIkT)z3$sR|YiU$|VEiO}T3x>M0XI({ zs?7}4_@dne$mXQo4WVwEX-kV=&yU@l@+$%3n=1?T&GX@ynO&yFB%8=3^U{05F4Mi8 ziFE34RYoc_GU=dUiwhU3bz@X)V%b!0MxV}UuDB#BOh@G8*X)g~vPzOl>_h$M$w%=i z&gE&Chr4zMst)or7dyf>d-Df#>KR(DBKj=&255o?x+Af-5NYp1TFKJVu0cMlg)SU zWBv~g%K!Yii$58}dr%cfA-M-c-*teDC_UrHf-F@<(p+}~N8!(jF4j2T@-fY{N)C{6 zm2m?&M@)ule`irF`KTtB&f?h7Kpf(^Pyj{0J@)ba%rQgUn2G|HT&&LJ;Ew#ly4+#; zsUw*W`p!G(c6g_N9>GGyRhGnaW){|#j4F0G`A<>;Dj(4XmNEj+Rlg7Mv zggN$#y5i!Yg*ZBtosk-(B+4H$n;(uVLt#NU0Ext$1X_G=SA{9ncXH?{-HtxdBIyC9 z=R2WSk<9G-|7zF9*FVZJA6=G@O{^DnBc=g|ZSTuBILzoZmsqU*Ej(g3zN~mbWNcS3 z1Zcx+$?{K8C%!V~99r~Rm))(71D34LeyPXchBsOby`;Gpet1J^=Gm9yDjq5-993C< zGpbUbNUwUoHH~@*>tak6T1)QkHxLRPw)Hf%(Sef@HjRFV?Kg1J|0U46mMOt9cmA)i zsfTo#Y8(}C6n)pDoOmM@%{@SS;34|uR^enpFQ_9Kf*5e;0WrNPVjBoXH&wft9EUzX zzn46Q`TSkX0-1s88**xPC;-fwI^+U|O8o0|ugilkO&J!qs4{w<&`tU!qRB@&;;$p4 z;8*~;>EJ0r{W1_ZOxhB+R3N4-dq>LEXJ&$zTV$W(pcb@g(qb5~pJTp$(YQzvBh3yn69q2P_k8kUYY?E$YT3FvkuCjCniv98Dp+EQ~6z0=J?E_}6=Chp-Ls(C< z6#Q`l;^zYCGx^W7V)9?f zSt_Hvj{{6+r97B3?98z2sU&TmKmBGTJoDc9OGOLNz0r_%nIt)#0KL&s_LSvNNTYS+ zsnTa^MADFQj-2Z#<*{+KjcrXV#@2wd!t*s`aiw)%Cv->u@S}&;S)qIHXqh@aMRpr5 zxaowuw>`xAp{2S}iJhLCYq6m#tgrml_7t}37FTVS(v@eW>}z&2Y? zKF3>{%aZdoXn}I_Be-)U0gi-yG>Ay7uILSFem1so{Q^2EkN&pXp^RR0 zA}Z9fs}M}-G}N6v>F}HRN5Zk)a7RUl)9!wYvMad^o$qe)JV?f5h`41TX=8F|WJR!d z!PC8yK}MnUbHTzU*3fidrua8%Ljy~^DUJ>y>*e2?vi~k=*-6G5o-_^TLg=5I7l(W* z3^z?!k2b{dPqJ;Gh3%6;8{>Q2Exa|@8podoZN)Ix_G6BLiOh5JyGky7*=k(NIhH-v zZV0Vb(kUhpII$u5?RwG^nVQ^$up50uvzRLGo}spe6CK5CqCU3KKz(L3>>QEK=&5Do zN<+{BIR6q`vfyid9rPP>Dx(5FY+fbh`_i8IEl9QgXlOuScD%S{u^g790vucQi>T$Y z?&O?@Sb)deP@+uwU8uI&uf!5Y5XIbP86A)L)gn1E5MA(cx=msFxF)egjl3}heECBk z+U86L0edDkhwg&%5jrz~V;dQ*oiNW~D-XbtOHb_xTMsZk_i}SqNEkWkmUTm zSj%yc4i)gJ9D!@v^5%=_%iT|o_8J;sBhT3+^uJEc-ucU0(`kM(m<)V7gJ}($3vIpxXAd*+~c^h>wtT{&9G4lJfG% z4=i5I>XXanmDd8ETS@0_CJCfTl0L^B=NuQLZoDtxt?}}8V%k|VM`I(fso(FtO}mln zV9T_Hp}T~Sd#-UBp=VR!RJ6v~vVcq=mXO;lfq-JrS&6jH;IUKef?X%Z;GTDH$%nft zkiCpnCTCZ1dB0w5cn=Yf_F+yOdWuRg_OWu^#`_`YDpB?8xMimh%6%rwMY;mLn!3u&+Hnz1iDl~=J* zQF4;jW_JWq`MhAts2{09QJfW_3u}^+y@g+TBRRB1(V8C2ng8b^!PA~^1D{u7Y~4)=B)_6w&uMY+=e22&%IpqZo<{N(X0 z7%w{R1JK-I|NlKq-`q^wU9V?(XZ#IOUaJl<394l~6h{+C2|yX6tPt+s4_=EGo&Y=w z4EsA;iwSnK%1!y)$*acP|Kv*%eL%j%;lKv@U)dNKX}9`cqqIH4iy)f|leke4Ko|l` zL@O*vNfrwXM!TCpYzYeomT44%QbT7$LNTG73%`n~nv_`6UUwBF1?m*4b&^XA*!b4I zLn+J3(4Z6^qBNF+I5t?4efuY%lX`mJkF?urlJbCZm`N}?XvpjizmqQL%~g7s$q`*( z^#zjBeqw~?M#A^?01$~xf;F|!$!Py9u1@|5l6R60(SmOv05_t8SRzs;wdIBKra2Vm#wL68x4K3F&V=# zF{k}QlIQ zHh|bWF4zh0i9+`z6#>wjsGJw`X??RTkNgCIQy124$~eOt__^wq#0H3Ex*H9{qEFs1 zut4^K{_i_2=t4inI)gIa_zBkH1t|bePs1eupq^jZ&OwtxaIeY>nJ?lVi$Pv>s4aLI zl0qS8rO*PEvM?y~z3>Eis*VilZT36*G#`(~+lbcp(8evEB@>YWV`EK2@T~4EdRa-4 ze+4GH+Um`D?I*;sY{IJlgtUXclW3V^tR)jx>}oQ_$IT!l|9n{X$<5lYQbuFq4*M))$b0(WNaP( zbpSukxvh(uLY(0^=EZT7aNj>q2}?h|RQT>p>esBVg;sT%c6l!L4>9SmtE(h9N8A0c z$hyU0{pRBmQBh~QCjrhnhjSV;E+X@q{Pmx*y(qwLm+%v{ZWSM|vp!?UQ?=qctKz!N zf1tAGer$*)5+ZJ2h{)jtVhcrOwWP_~lf%Hk3Dgd%T-dSHwXJ{Pde8$3Ar`;sBp?Tr zCE;vZ$UdN6E&A>SkZ@}yStWHY&PvP{PDGKMqYsbBO(3k3$X^>DFJ0!#`e^yn_M*z6@PpBn)!?{k2gC&89AVqet=*O^L4tMaA-Y~6=>0%)UE{69tt12P6FKI zLM$aA=k*(xFvSn|z6yly6r|E$=oVL#**?w*0*=z>Iq)8>0ZRr;)wc6WD+1l8%7o(v zqQ5`Qm*zb7$Wb+C%9zu>+%8!H$j`@seE?9Z@B$GGTu1${5&(M*tJsk zc7BP$am;ji>b^qODyHU1A$bzI1YEKqHk5j2$k()6`XU%crdY&LK4cG5qT3?SPra}N zTieZ)2gG>{Ek6GvN<8yxXv(3xYgI;JSj6}XD`B0yM1jnhb!MQ zuwlC#MdD0LLpi$tl6Uj>4@NY07cTo>Tg}F&1%DOYt#Ynw{NwGQq~>uw*QJi4pk`4~ zqUnp*ZW|#i5gpk$I?;6Zt>6c@D5s_BPk;-;H-L(wFo!_fs^f^ds{TsrU6g*&iK~Ux zG5yx*F~tP*9eng0CyI+ZGS)2bmH~FOP4g-j&TwOCuBP2;c^hGdxE5B=0r6`?!-$8e zmEtKW6B5dK)LJdhwcz`Yj~um3`#1d9~Q!>xj)yw;zv|Ao=GG>fe z+M~?9W=>#RKkO1ta1dOAuUk+he$2%WGPZPddEgTb*nDy4?GLRO#D3DbeA0~K05~Ch z>V%GWR0SzXWFOC5r2VK~8t-raVm+<8%|}O5+WT79ve(Q~fS1@z7J?Y9OLGD70o0-; z<90ys=v)$=8{o|Q$_yR#T<%XQa@4NIu&$OHm8;}IAR;_u_YmVdxs^uz~C?R1( zMtgf$ro2Z1kQ339UBS6{mJ~n~2n5Xcb|h$6z)3r);1xs`A$NX)@f$P4h0NP1sx>RG zlkeo-4k%GeY~#isr~c8#R9o5D%_l(cwd1ULu;~@m_EvR-!O86;cGpo`BlVgvZYN`| zZL1cxe)BcKzphe^>cE3BgV?}=n+wRHRwLC#&50Qy5b`D+_OXj@h!dHE-ue+*D! zpPWsMQ!^Z0H6~IO-meaU6|q}MVh{pw=otQk;bugOV4U=`y#@lJZ;V>QGHXb>HrbC? zZVbi84}1Ka?xsUWvI<4qEatcut%|~eTN)!j)ScI_m3;Q=?}2m)eUgiX90DM~bVmy; zL_5i0_0$!YaZfz9y1Ta0I!|(M1W$EGlL)RRwHWf-CIf2qf~(i!RzbPzLz-T( z>-_||t*QYn-~8*>Qgp}N=1CSvSeDBhRDv2ny|3O%P6Op6O1&-|D!3e}l;v_d;}w{- z4;EkcjW;fE31>5)wyB`UZoD2D>#}{`29vKsndp&Qwy1(gpMpbso1 z!O-n$o?mUATWu-ql_R2U`A18Uae9zpJYz9h;w_GQeYvD2f zGkgNbk(gUkGQ1V}j&!J34G34xAMQNi?>pvEu>XCbr?Wz61nURc&Nq>SG^p3+6qhFz zbsBSixv3=4f_3{}BqLJk_#40&Y){v+X6f-p>;IEy3DSNw;E7Q!H9#-e_2vC?z1GayA7Z)@e4Tln4{l7 zI|f0g_{(!7@&5?p!axt3U0QQW>l})s$@*z$z31_Yb)nF>S?pg8N-pzqwCHIH!HLxa16zKaDF?SNpR0v1z=wnpC0rpp(KWS zc^%-t|k5c{=sfi;5Z8~neAW3PEiOe7UWQB(~;P+wZ9CiETtAaknMLzqwmcs5^_PyRgD}8>S@+! zm-VQo`R^nqm3&Nc8+LQ5%kr9LMbtYQ4FrGZKaxGAgyKxB1Z7jTb&i?s#c|borTE{m zoKlgs0GUn5cLZ1+@&!7AL$OJTB4HiN{Pv&n1FFc&;Qk?}Wn|NqbT=;Q79_y!;N0-E z)+6uemADqq*dL<+*n;~I&7ze{A<$NeFVDTXj`Q1uMjlum3gzU0@Dk_x=;yk3z5}&J z#(!DLw3I7YHzKTVO}k!PaQvd~q3Ua2=^JlAa^%klTaXlH<^*qu#HgM~( z$Ux-!A{iXVhK};9r;j&(P&Hz29~E=J(XFp9c+*5b>aBN~%W`^u{xvz)|xgrKs z0^YluSp1?M9B`j(^5|N=3#R<0;epspDNJ0%Z8btQ>co_*+w-d@c(AH}U4tJjLfmZ|a*)cxtVxf&1W`)zPuBNq zKGAb?GL2?-#mw~c2zc0u{)KBaNeE#C8r*rQg@cYmm}XU9l1JG& znEB=@!=~@#Eh}9vbL5U=6)LRd&OZWpySZ;n59z!DP1o)0H zjfo+QFs~!Y6Hz~n<$QZi0U5_@^E{UJY?HUi@!Xz;Z(%yLvrKLxQIOX`m9S`EW z>m35x`?|UqG)W3Hy0dcVe*UCG)@})@fPK9>naDg7azYa0k(mH24MkkP~>HhH@bHn38&d_iD#jp4*V0+hQ%Ed{IoVniKl=oU99@7Mr}% zO`!>pCGyM{K|SgPlx1y7gO@T3j(Y(k5g>(1uSu_}S_*Jr@7nksMAPDbl3Io89>44a ztclnVKF&j8;zXeCGA^$g1z&c|4I#eTh*)<43mtcR(^7uLGB}1y!bRuuu;U!prD&mj z{rH7BGkNu3>R&CQi-fd{r$R<~ z;Qd2@CLi!!3~-tWh&c_)2=^*8< ziT6zZ5buRnpu9dA@57vfyuZY!xCfAjReSq4cTPlXGl8iJEtnp_&foqnhX1-fl*pq4 zx=&_>=q(e35br^%yvadW0P9`2WpygU5BF8XX`S!Lqfw&CxpoVMp;)?6`t!pfELuE$ z-R@o^D|)%%krQ&{hLsFiiwba?)XMquX-GYFUs}xR(I@4Ar6i=rf%f~GmS_bTB528% zm+NuLy2$TiH|_7?80u3bPy;^txuA>aQu=j;b`c`hR55Bcb%(RN8W1qq6EMlH+rsyx z06q+Q}nY(aM$+IOD749Yb>#7Q>=le4La(>&t-TH`9vg!XJK;M0E3-F#P<;Aqr1MV1Q#%Gi_TF&EQ7=(($>KpdOo}#)O^ZPq?VX*@zthO# zw@t@HE;0z&M_`Dc^)UpCX6)08aV(qQj5>({7lo zO-&+$iy54XZfX7$*h+{WHU#kWZOb|7iF012k%!g&NJG$H&llf?YQxxtgpgt>??MN+ zrwh})6`fu>|M$)Q1quNi2LuuSb6k*R3>mQhuh%=G{4)?*!IpxW2X(L%!Wdke$sfw- zM`}$>(emC9V*pL($p~}%B#gNM3oD6X6eM(=oyLrV0Ctw8Mm6bB`gKmp?<57B<-OrG zFbg5lc&d(>Y1FpWy(m3<`5h@@+wrcGNKIyhOZOsmm=_QNRsF}Bu>T) z)bq=3l>-NP?s|TgeK;P{&)<;#&0Ov4?8^4M&l|x(`!oaEW|K-&`~=_3VEXN#M^rOT z(cLTPy2437or(ALq???guTx;~Zj!?_UpQ{&#}D9ED96TA7~{}Yq3}U;94C3p zMB1rDh7%Nd%yJwUpU;C>{2)ChsB;!5f%R$aaI(O;qBu3 zz{|w~Mw{0NotfCl0_>dF#mkg+51LqW>1#8tN78TaJXnWEXzNyKhwb67($~Dv)`=)u zLhub0Y?{d#)_gSKUb-^Yli+KOu_m3Mn@S)A8Jzm`*si;`^#zlo`X&eT-XSs9Iz%h- zo_5n7I(`%;21Mbw1Cv3q$oD(&@9m=dDLOOXn)1P5>GCl2x)Fbp7Im&2dttOmS&?G7 zsoA=tvpDI)d%x)}mKUD#k)p*KVJocSIoioA+89gC((G!dU07eRDlyx{K!`25?!*wi zU#>HJ$AGXMJz964m<#-vKx*0FG-wdFE}w})TZ42}PR9UOl_m2$!+#?^n(w~54h{mw!_ zkD9(UW;xrJU#zssn^b)3^K+_Hq>^2%1vI{3P%H}bq4kStlP+U7{^WW5>qWT3m^hd!zxzMPL@B2;qQj)WiSD0X++in79p`AZ?IRMuELJI)F`3*-r8j>MDNur*`Kp zt^V>v^nfn)XerR;z9FsB`IM4&C&|-nyEV>a)0>LL83KCJjBaM3Ktm5-Q#E=63Yq};{Fql zAah)z+~`R(nfT%6%~*XI8_Zz9SLFUKK@d98EdfC=@`(}sI|+3{_W_%~t2BX+4Xb}n$9FV)qglXr3#Cx2=)oNVVOIrFFa4Zv zkZ+ff))Lx-Joew`m9BTXxCXZ26TIi?zhfnD>@i`q= zOsMGbQR810E3?1V@i2+t;;3AIjTb(Uz^_-hZlHKf`8D$PUV!sEWml1!HiQyhBv`Pt z(It#|(UDAK1>@hlJ0O;E4f2KhsBTiQL8x98|GaRu36779Wz_!_S_W=jQB~kSLk0kx6amY0t9Uq#dPA~3i z*QX1^7^B$gZxtmC+M|v`md+s%$nc$A;>6TcTuJ~PSYq3I3Zl5=!pP#x6h_E0%Ka7e z@^gfdcEq6d`pEn93V#%!kZJ8@$i%}s>;a!I$Ff(|cwpPey$4i6*AB`XwNXNv-`ze< z7hxSqyu%oVqahzZTqu)8Pvj{-{}kc|EJZ0FS%?FuTW-_c&eLxdC$aIn_j5b&J`ktV z_(6Dugm&|F)bB3cX)?hnkApssaL;EXFD&-a8@t&rciHU+!QqS~$Kn%x^A^ZQAH8*6 z&Y4~?nosD3^g2BMObDV=VgF6SEJU5|xOjgOJ%HXHiTC~VmlOPO5Q-C*72@V+b;FgF zlOa1!lE4(l0Lhk>Jz34b`!XogDOU97#B&B3#9h=xdrmF|19pKG3esB z={TOWA2Bl;xH)opyh+XT!d-qGmM=N%3y6W*gE~#8G4P2Q=5GS-yvvu2*X-C}t;v%ze5|!FeXD0J_xYGyKo%q@2Vq8A(mZRY6M7?|@p}{z3GrRd^$0w-S z|HJHnWRH36Q^BHiFw>Nk5Uo$k`V|*qhE>dO{F`c``6yB5?yJv%*u~R3`IVj0j3Tm# zuWQprdj1E9=RWgAU06^fPYFz>+>6O@@dw`Ye3X{rN*tvX{q$h9-0Hp3FV{f_-yVd6 zouQ8 z@)p~uO=c_|rJ6~n0SSS8LG-oSVy(GR`@7U~`4#KjhsxuiLV0dH62f2SMDw6L=WGnF z@Pi^s+Ak8++BgIcurs*j#-P*_JNLEUNvV}iD0ijN(llm@2cHJU*O z#htoQw4kB&jRn50^P+x`eUfy=WaJd>PrqHTQ>fIBLUwv7@+`3^$D-F-Y4>}orN1ql zSXPrus#AjQnU7kvl~VPR1f^ga4jg-(du=n z=tCyrJ^5A;0+vkq`suwP_rHL}P#kwX&oFmifiP3$)>~qc|9p32_NAoU{<;Uz~(DiLHq-QF$hTtoLWT ztisqQ`1)HKufUA@`EL_M=4cR=$&oog5kLLiPcJdAdXfK99kq|D`aFqS`&+2?<$HF} z!L5MYWIrc9GX2u~*lS`S0uA{Ww1uGSkX=(&RQOl7{|xjhu5AA*>t!V3v2*xa2qajY zImYKn<V`d#`aB!@t`M3S~5f?`+$VpRBsrt{JbU z1L4`D1j3knZ?(R;9${WvZjD?1@|>yD1H|dgp%rvHQW=oVsLM6lE?BLizb@iveOE#M z9%%_=KYz%1UauPbkk%nQ?wED0``BYDn0K&$XV);;mw&4Vgs$oTnG&qY+5d#&`$irK zPu%hFeYv($*L7miyA&-IU%Y`h+LPhmW2OkHI4;GI(FUzE?R}PreP9^N-dQ?DrZi<} zsZjpk_Uj9&=;lM#v{MIhw%;(`_PQCIoM*1f3-y>J*h=ku83zq!X6W<*+GlFu=$CMu|eW{3FH z!x#m#lWUh*iawMgS~Xx?Cep%Q6Szc=al)6-x0p-R97V z{YV9HJIFZhI_#V>zhy9H$j@5ugs*JG1=FcNOU#VF^_+=~9j;>R3$H+Jk0+S%m}Z!_ z9E2lI9ju37ok-wDCVw(6;2)jPYb}T5))tZ7U?1GJrATOtic6#Gz);)3>NYjg21Y(B z!|)W@-nuB$6;ra$cfomG7OgNl>kf-<@8v#=`z3IIQJxz*_C#ugJKg&1)9@r zkZ`Z{etyiPlq-&B|BZ_?OupOwW=^@49KpW!VBMILo%XO}ikvTdLKnNObNa3Y)ay8M zb>E#mfv$!wnEo5CIkDQl5FZSy71iO<)_zq2?=_kqLv@A~+!_LNVdd8L48 z(c@+?d0sfjcq#HrD;xIj+(Qjoa+b=#IvTPtJZ* zMIXH{hVc3~TLj;^d;x@(QmRlKv1%n|+IkKFKS}YspD+%9Hote+#l8e?xfryBwCI@x zbYw5e^Pj$exWpKrLJ>V$(H3RVOgVIBy#j3FdSaMn7|hiXTNTeR<7Oy__IH7+wd)dW zST4|+4jvFKA1rUqod>0FU?sjX5k2Z2S5w?7mm@FeSzLk=ILd@p)=QV(1OyMdq5S(H zhPB!^XDA&XzaI4~9laphwpIh@apk}%MjX>RP zT|mHSUg%sf0s=-l4pTQj{sKACV=M1-cKUT9?I;IveaLE5*edC6GLp(QVR1RGqJ~Y* z;CZZEJoiL5VdDh~JrjS|;vl8Pgz@K^FoN_3pNXuGS>4H;X|1%z(m^dFhmC<1YzR*A z2YP)$U-z?Jj#P&aXT|z?qVYz{mF(~&FAo^Ijc-{IlzxIVmH5q|HwB*BE@Q5 z=huJohT|4?;Mi*Ns5=ct_a@X98rQyN&rA?8FAAJX(k790WE|J8;a+rkFpb~7dS9h< zJ>?zDWEOL*idH>bEin&qda=sj?S>C|UE7dGJg|3y*G@fK4)dEe#qIKg20mP*0~ZZV z>@-mz`NC5yMXWKRnI*{SG1F=$YGfzF10mVc4v@CG7zPcQ;9hYct6meWo13+?P~}<= zPK%jJo$0U++=J@cA;*^Bn_hh|Jv|;nEFR;lyOw;LNOE+dJ;C<7{m^y( zCR)X~mUoF?z?7MUw}Xhq?t;z_`@X>M+lFQvd-l7E#Pi~;r9a2c-nUa1M$m3lLU>PH z2!HD-C*q&eS^tg|yfrj^pDOp(oA?1w=5(yMnKJirNzM!|vFPl2b949M%~3LfER_OJ z+az)sGhaE`$$iEZLjs^VEst71h%s!l(4NWaZRvyQ?$Bzye%D!hq$bfTZ4b7V8tlk^ zS@9B#i*wpS=S5}VZ)1Ze9oV*=KF}+U2%72KOIU;i=pq66R;TSrzvO5fA7_+?uANEt zRFdnR{o-zB=KK)y14!$M`|C$(S^|0>H?Q{za1V?dMjWkeAG)*}4$e2^Qp3YTesG|V>p7ijy9EskVGJMhX?K(KmSaBP@EYlI#YNUB`y)4SiR8H z&tB1cI4Bk|A|iVuSL)M!+s|t7?jZZtiyfr&yqEn*^Mwc$dLy z>Ir|IhhS9XJFc)f3uWlmpXeo{Z78HoJT^;IcQY>JKTr9n_89eN7F7*yVR#Jnu(JWr zVI(Y4P~y>baP%M+u<2CDbpQSQot$6W@4wGZW;HuUzRg;+z37hV-EpJz-QO@Rsdx5_ zgx&9*$UFS>yaPY3AU$m^?CRoYT(nwN6ftCkMc zk?Oa*pboc1F%V7gw}G_}Kep?W4Al)?*$u72*4L#y0DYvOWra5^jBqTgT;dbv+UxAE&{>^0e`_E~2c0~gpz(T{H!xx3ti^-)NUs~z+3E&)y8swgh`wgfa7ez*lg)D|KHoirn zeaaO_6pmO|ZCYD~=OWFWjBYn2J)WRcq3ZS8s$X|ET(8UIVw(i_+hR4K=f6mH6`8DX z;We1_8X=D*U>i;o?6n{~d25x|!zam|#AnJ&x=?LQ#J!o|yWY8se`+9fKR_c46i%rW z5BG?7A+#1WAr)EtCAzww*V-R+OITb9TUc&*D1#I&Iip+2JN4;aN%H;k_2;W&n!<;| zSs|h4KUWH};doJ7uLXfVpGes%PuL=zW%UWdS>h?B2&HQ~!2Z*UJyxz+W)a+BxLMzQ z3cl|yY@&eKX$Tvp;$%(reQrQeO&Q0yP(#u~=9DQ3P?KFQEjF=1NM-xaR4X5`!7p1U z_P)(#OlbS%u)AE~X)k%U3FOk~41xqMl~4|1{!ZhPAH$2=%Z0I}o{dt{Kv7dk+#vUB z&0g~@%`6~B7Y5$*Rz?GNAZ9rMN1fpNk&2`El<(wL?92xW(6z4C*%13jZBd8mBFZ`y zIJIiwyt6GtLK$Q%ZX0nGb~oQAufJLTF0e?)#ulgy7c#b5fya*Lxd=~6Qk)Rw9%8B| zScS4jLvEA~nNua~)wj#IBi6RC*@WN^C=NRgg?7gY2FR8E`F3lPUV}e6RK*Tz$tQuJ z)ucA2lTLKGGLOCpv75BJ#=K&9oE;-SeE&(*45sWe^NH(LywcM{p_9gL*&n3)GV$QB zI|~jP8^mvd5hSOz_Gm}6SUBnn6q^gB^HodAL~HG?l6al4ohQnq4K&oyWMKS+uR} zK~7kKC`HREGPx5X9ID{81PW%~^bVb_8k<~>>r!JyI>ziDE`m?=A<=8xLSIg?^9Cw} zw1nQetexu#{o13u3qG747MY1#;N(>rHgQK}u-Akd7B}IQiA*ukLTTEH)fp!svfk^y zF0$)I>e<8p38;1QmU5vie3lcanHnkz9`_v&Hg+iGV3%Lmj}i7<^YW-tbNJ1ms(++< zYY{MPg#Qy82Kzg|KcmG6%tIDX8YoZVf^xWSLAtAs8gA((R$jCcKjbMS3pkCR!npsW2%@Yo%WI|?qzyD2H^;L$SW)Y@y681D>(Bh-emkHa!KR6MC zu=^gAdcGRV)Ok(#-(ZH-WVV$&t?eEvtrFbY0waUk4Iz2RTOCLyBR{Tb$0`F@gdZe6 zoZG_;w6q(Z0#X0xj-nZ%Gc6W=kT{{hDvhwNekly0vu?%D?N8**hdz&9?%L;YXPP$) zjQ1G!mK=}AF9k12v;GEGfFH(0bR0a90ZeX6qv1k1$+rLGMJDLBWYyH;OQPc4#uX`q zNJY_*EarxZp~Ia=W4*tPV95gI*MoXF=G`t1@2(!hS1sFC3gns@orZ&Z#M6j{7<%25vdeiN9qtq30w!BvqoNGzGolr2L0n{W$fQBWx+U1|7gw^@h%hAB&0|$s&qJD4-T3T} zqcJA2qCb8>ZA0Km;NSj@S#K!4t(!~)jSCY)=OWK$Vzp?zb^@^h`gE0yc5r5oq6dek zOq}b9!kT#n7sT#^46U{I%@3$Kd79h=CC)>_GAIsEG|-iKD$gibgm z)L^jIAl+3U@l?@9kXrM3Caxi=^J2UcL3*txymtIBnT1b^5kT1kvB9s6IpEk3x+$^U zs?hx@tDDhQ24GgKvQweLmXTF}6kRVSY&!$!GoTXjv9UgX`1Gq4M$d9#4Wyb7hzu2) z{>GBXQqjcuFbpdGsK{Ag)Qcj&YVFjy?gO#MGP;}Z(XUxy|C4g#lg?@GI{k{JVAk~P z&WcqJkB4v5D85H}{Wl_Qg?kqU56C5oS?N_MC5ja--~i(O9?++z{5$&8iC*Mufdjz(=Jo=zDOqvyTa6gxJ>d} z=^4~XQv6yegcka8;mRv#{4&T3)IRF9#7emg5htRC^>=^6+>khkCto&kuCdiR{GEg1 z#75WYTBMs5v@nKhB?&IzWlcsgfRdD6S6v<`;K#>JlI$Eu1;5w_t-YsG?_=%l_>{%7 zuuh*H3c84oEPN^9WI>dy{u7#N@?j#>c+zQ2#7I4men`=U(5&sH^L91LuPhE_QzRG|abCl5BW4xn6Z&PWl3R5?ZxwAK%05 zHU$X)ZVWf?13&QcGhif;$eIyyXb?&m;|4hr&@)&Pl+ah4)OFcGllKiy_ef%9e)LQ-dJe;7UvJB#N&wxkAYr%(LkNAA*^);&>eSA=` z<%ED)!;Jy&vFV+28zKpUPi_zQe%{S5_${S6QMf;YVfmQ`KJsn+x-ubMjLd@^;ixa<|iitF;5GLA&v7DpC*r#GL=qe?Eo9std`D zA4kHkMS;+HswFF#=ExYeYTb}3bQ%FyYC5_DRp>DV0mo=0tYeBr<(RkbBo>M!+e%Ai z`Ix+4jkzDoq?~C*He^Qyg>tk-%~z1^`g_fd#FKqetZP<-j}qnd5RbadiI*-2mh{HK zYpSGF8I?(DQm(;O#yQu}=>(XE%-!Dc`VH|uW%&(1dlo9iJibZx^LPgk8>oB(-=Rz1 zi%#UhG{$P@j>GkV2mS3T~%Td3B;}{jVU5ig(@1_u!QsUD!t`jB|RFYN!wcL97ql^p2;68T2i; zZ(Drr+pT(Iye6HlOEz{REuqIXO&>e(UyNOx(MtIuIlkTnoztN0kaPM*GWNIGy%Y9c z{-u(8Fm1)zu_7sL*`(Wt$y;!(`nHBor?=?G*TX&gAIG`A=VEhc9CnE57l(6b?+Uqw`1w|m`3DDBgsLajfNHZku z>iF89{u-{AGTDw>MCm8LlD-JjAfdS%y>j--QiiPP(f~&LDenijwdztO{NQUY$vU z4m6y+B)>^J1|qESeA00{h}bHFMTpBjW%LMKbNl#!>`h@!I1!Q&zk4^d#V9{W=;?6X z87-YI?7@b(=RJEZ^5+KiSUwXYJ07Ps*9nie9dF%DY8oGjPf&<%Jk|E_1ODpGi}deW z?yrQD117kXgig)cel6yCXGS@2Xd4sgvQov}^Dq_VU%T4-}8TD|y;Eb(@60gP$UwW3HJD zLy!R=WW7UapQF*m)xWxhUE?ENM13C4IaLuesZ4x+%p>Ne7|gcrL>G0&#`%y}&ZaRq zaN=NfItku5@jD7l>EJF*rTX>y2nJjyv6sDh=Yx1}Q`iGPn`ig6o%fCgD{f|%2rL;W zq%V^LD92o@Ncu5{_JOwWMXjK%*Vii`uURqw zq2u*HI&2yof&H%uocDu2O(=omgii|k`TFM?VtnA;aDp{*`=f|ZCoXiBEnnT zt`LW$W;V#lQMod*+s=C&bQg(aQ?M{H*ksp_p02=X_#v=2)OnK`;skaqtP&-sBs1jU z3popQPBHF8Z+hdx_s+B+JUVH?Nwmx;x21RZ9xS?*33H^oK=oBtk7$!aeIg!xia_l4 z89tA$!PDQV|6^Ps9>x+C3&~^E>aU>VExp9J4vMc!o7{$3(z2y;qHW_N`krZ<(+7h> zZLE7W`sH)x0&1?O+8FJ@~wB3*Z2rEx%w9AZ1h&w!$1cogJlP7 zhW3-QHlkzqY$V@kDt{L4xP&sk1t z_@?riEW!@c!tvW2T+BsV9;Ji#&dfq3IV58npCty;PjIHmf+W(we(MgM2-j9}#gE>b zC%pzqI5rE(-Q#wIU*Vh2xFsiDk5N7rtxz@nP3e9NS`b)~Ns2MG3&AdFkF}#U#+}`D zy3|-?ob}4)yyovtG!to3P{&W&ZCaPO>R1lBb~8b}6X6r+U;O&aI2~YH6o^R0ZG8$^*TWR=&d>tx^-Q4LuMHfTG;3{0y8w?TTzOcSYtlf#&v2rvl~ynd^7-n<}b*BD_1A*;Tzpa`815`jG^~wdp-oWIij8%WlvAeS z+S{j&%TF)5Zkh8edZl((6=Bu+TTHj2OQTWU)-@fE)s!DcNRLHL)I7c%k4;evsSFRX z;HLv)5cI?!7GcxYcXzo#OTO?%(*ezt`AucQ9#5#fTdjxPT6Cg|HQ1Dt(;}(I&&WRclwu2`t}jfDdMH@WDI!mX&I9oiA;PkGr!uGK(exEy=RA} zQI@>&!Y$&1`HcuPs75kD<+L}&gHfAFyUXc4YEFQF^@eKLrUwzNh zI0OYWtW3>!`sfGZ-$i%64Y&D5{jpJN3lM$I__#f^KW|RF{eVysj6BmwtGFQ3Tn2Sf zFen9UuYf$0O0v{}(od)pMy@3#>U`7DTa+l~oTA@(#=LtN;p1)28NOl&!$2isb%j@p z+~7W{LGM;N2ur1!@E5910CA`At%H>RqlRyd+MrO#6&Y;xv1}SuL_ysEdWR1j@nF^= zC+P}TUqiN)(QJ85^5B3we2q5AmYP9Py#h_cW(6x_*+MDB)ovNRR8{Bu-X%ld&ptzi zXj>U0!F_y?yoPU87op{G>*pg^hfetCM#PCu{*`UGAir3Z!p(X^Zu}jpivMsbPOXocl*0ZAaiJyE~RwL$loS@^1qO;d#ruvx%5nAkYkMDA-}ak-L&Z;@hG|K@5OeVAutWn2fQAcjzNHFT{%sOmSz%1B zb8UTl%}&CHOmUO*{!`V2o^ioJUi9?{KSe|Ra9!hmr@_DWJYM3+2ZD5yj%r42FSQqu zz!tYe2Riso*lq=mSfv$<=u5+S4|R#v#qfyt0HX0Az{u>qFLeB!oWL`2yp&UwhoYNOAdx9&2C(;%ia+B64q9Miri%_u5ADAw*=O zWOf}pz;>`M8G$aqMeTK#c)kcqyS&Ue)+njOn!kw^aDXwe$e zStRCx{)Ccmf8YYN^Lf)}Oah_UmBPkS;TMR{@+xf)_jT`ocTJp>n2$xc3Mv0Ci?`=) z@zLGcmGEAG_&WEkz)bc#$@Y7kgh4ye$k&^Gzj+Y!7GC)+KGJyeAoS=)V)#?`^g zc_Kq~Ylbpf6`x1fvbr)fpWG?#;7C;XR zo)RC!|9b$|m}27dmu3PJq>Uz(TK}2W+c^Nkv$-tuSuwhg>EEo8b|CMNw?rWu|AacS tQh0rqeOx1+|KmNth4TLl{L$qDb${gZEHs&nA*%29e*i&vA-E1M!CgXd2m}~B*x>FG90mwJNFcZcm*5aWkTAhL*x)Sr z->cf)+NxJub>;MJIbFBAk9=Q@mZlOe78Mo(0s^jzGEfHr0ZI8;md8MQe%dSEDm=ds zK{`ru2+&EIz2^doy{v{T0zyL)_PrJAa~ac3*%*X?fY<-`MjU=$Ve|Zv$Wy_{Q}?}{ zr;n9~ErODVt*tA_;k~DYKE`tw8h{E=R?pYsDF3wswOYaOU2+&6XnKS8Hd!7;)aaKy zRX}tvmr-&Ub%0wKzT+bL90i*Y9bea)5<%n!<3zk+t~`M#3ZXahS>H4z8v`$K@{hsK z0!bkPYBI(c*SMQSR-K&%to08@pU=&M^cQrhFTV%B1x%hGE4-~-2(GHC?!LTxs8U7l z=fiov=E5@XL#!wwtthsgqfm+d`KXRWru?_ApAXZBf&U+gg@QBrk>s8}2p&}^;tm^# zAqHsXLG_su1QWqXd(w~BJ+1K7;Ft^io(J~F?SEB^xVPhR5UG|>uqQuW{Yjz)5B#GM zw90@y&8~>Wa+~!pz3qKSG5<(xh}bO86N$9?h{BcpcS?~~MD;Rn|B+OB|DTO+#xSN= z_=?KRgiQOiS9SiWcHe~|e)lAupBB&)2)`{lQmU({`SJIpv(MF5_ z;3g@5S!(Fin)>eHtz(HmIb+9yYEU2F1S_ZwY0nF>{gbR3C7&U!k&n*w{Q6=QvhG8z z^gBqGVYr_uaqv&xG(dZI)0f6+gGitBK5XjBY@(s@1cZcd5*L)j+eaj`f_V4%qt=>A z*HFA*W^@g;zLm2L`YQh8VXC}bKchIYysphUgw7@e~B65z3@=mopPs@{Xb2Mf{x~T7+s$89> zvs6!g0)?i`)=f`eaoY&t{y6&cep!Lw&~Jp7Ov@tcBw|0Y-f(Bl@gT$ zgODLz^0xHIc>#QpNMcCa@4k6noX1(Y9ph+vVZy6Nr@8oo`H4)okJSXq zR@9eA60_;_VPa!x1hwW$Ld$>dsTA)VyK}#vsEy2?%<@p}c=|;PsCeeVKKr33Li;E# zW-Xg#m=Lox`&P^2D;etc*gF&H-88{KTlkXVu>oCK%P244H;70%oM8X+7O2$^NsoNe zS{7?&jkmwx8$*v|_RFo^6hw{jBDY8Zhnn(~*!6>9PIZkapQR5gfQ>-R$V~ZclvQwC zx*bHU-TZi~1pgos&1F>D+CtD;^debPv?BjiSS9zoiwJzElREIbGo;9wuMo9sI8ZbC zOLGe?uB8zKzr_M4a2ESh1S~yrCGB&InLCd@Lxeb+j`QkBk}Q&n5COKnwtF`f_~H|i z{erBOabn1w*qAr&pg#Iq4hOfJHEOERoU;klB;A$`uJFV03iF(nr+*i1d8dIL2ng^V zM2gurA5Lx9!Kru3(`JZJs&FwG(cIcN`a)139}r}Lq>_35qZYtuVk)|;rr-2BAHbM+ zg;oElais3fA;GoqZAH6ZKe)*a^9#K$YXPjH7l`(Dz8m zYUaS7a$DvXw$UZ#=#d4o$5L&lo;GA^4(x<M6{*3Yt@ ziiVpba#xV{_%Zqw14lBR+3ug2;|{EvpJKBd*-y-qo^0VSHMX*M6b5S0Fnt zDZln^TYa+s$ZN{_7H4}0Eo!$t$-JWTJ$a$3Y`SVl1%P~-Q8RQ`Na2TCO8I+|Up#Kf zS36-`Srh#+PG=aU*#4bfB~Siule0+Z3n?32YR4YWtBSziP`BsGuu55wQD=)z#9c*g zF=w!=W->@M=OnkpQtbl83fkRf_?>cas8}^~*jHlBG&J;%cS_abW?hht1$3Q-otUR` zuU8Ye@&Nj+o}IVqg}g=WF3)yF&~zUORVQyzxQ$L|Q$-9!kb%HzNuET=m(My{lc1;=4G zjH2i)K}$OGoo-CzuuHh7bXfN?VB<+Xs*z7N z#$3oDmg%Dp?kIe0N0oj&o(p-yfo|V{V;{T!2jgJ$C(>E2#x=b1aYt*puD8_3{?c;V zs9aW^>Q;mH_8X?1wbx3TsL0eL|AEH*H%6W{!Y0eR3Mlp0Bki?I?GI{ORclY_i1yX7 zu+X&wCK1Pe%U4#=tc~}ke2dgf>|IT;-h#>A)vGskhFXDd)XCmGK*R6N$;-IWx8oBJ zJ@K}Gs}wNHxGaP=C&x(oL~m!JI#^OXl z>o^EQ8+*a_?oxgGv+!v#l5;~mEHrXHJz_S9^a>ZtRXP=31jEJk#~0Se4#@N<5q2F8 zE8eT8zdMDSl>F3cA9BKLYi?{c3{=2vmHwhtxG5nIH8d^u(NL1|3y!_Q#@`N&I&;Nb z%&%Cd0=K@_ohPO`{HZNT=%S3rbLr^gCBnOR&cCHJrTG0pQQoybs^_Q7T`QXXOsL`&CE@A!k8p(HoDhM0lndyN&VAdTI?Hu7vWQ~#nsm5ijU(dCqsTBZdNr5+UAQz z(iP)(A53KwaSwB-Z+At={e?aDG{~n*gJha`iCY1{2|cnkD}(@c=5nruje;=Gu|u37 zVD~qDg5;tgEu{#QOLao-c1Cw@)~|5$%@(Q(9`C}iF<`6jYbrUet&D|;eYK!k@Kqx2 zhjO0%H#;4_5jKLyKBOHr#Ve&iVW9Nfk7hz|d#7c)l&EK9(r-hIjQUG=_QW;2o%@gL z9^zpd=JR_H03s)L1LCd>4E{s$2HLnXJf2Z>a6h47ZFWPLLTcd0PUVbdMpT=^>c1ii zq;=>^TG(=>R-Ag-N(Y3S`L4QrA2Qu#+ZiWN&Nqs-n3=hGr~%m3Mwi+(F7cLFqhqu9 zX?m%{ZcCK(`~!E? zgbQ|rVfhEb^-e!#Xl`egc1+^a!%1+Vgg!mw(Mx@tvq(4HEBcoRklFQ7^L9_6OIP-5 zieIpvI%V-bR;=A=anUmvZo5Wnl?2|WRMs%X_;S7U z70ARs6_y~Ozj2_`EkMIa{9x`iKbn-Q0djMjHr!4(`>sK^jBhSj(Whbii>{)&Gb6KU zo|ZUbmH&91_=lpx6dkTNL`5hJGa`Af1?Nk+my~>d<}I)Zciti#F*GT`C|~b;>@t6b zPv&A^;&y-Du2I?Pf)$i>!=;s7DrWF=bZegP9rT!+2=4xUPjpNpdV~-;GTJQ)Db*SV zMB(;9XPOzv=6`SSbP2gG0mIA9#(mzA2ut{`XZ%W{?7dtqzi+BDvt2W-piAPAX4+V0 zYM?r7Q(pC$DVk!dL`IAV1$r^8MJm8&E%66F6mp$_B2q5S6tGK2B7}{!MsVoZlGU{x z(XmTsc35u*r&>ScM}sg*`5c&|$Ib#NMFn1Zn}w&m2)mmFjtVyxXiKswlc==Veyw?a*3?Sxd=qU?`7s zKt&AYTTGeBg3Og_)4w$8FH}YAe$7WEMan62=Z)6p^+e*Xyl>uPdK}2RMwU$bN|a%( zLWh}_4VE+lQz46K5s>zea0o46&?mxqc7)4vMR+9^b@(;tJ@;F@X;FBkEnH<3c+#mq z7bEyxL*oc=SMgY>8qoVHyk&Au~-$QT`+R`8fc(yItm^R6H5dl=%D#tjhm z?(C3a^x3ACnlkdBRDj0Wsc{okjfM0gCIO{@Rt$b1CPOC9|cdTd5+wQpk2}jk91R@^>AwD>#Fhf zftoy7+BIa#0|mLybBL+AEVljYyuB1ZISMj>#s)MFuON8YD5{%IRH1HL6|ATZ7X=V_ z2aj3f+j(gMM~+lvbta(mPsKm$D$3qjQv{dnF2z;*ZUGRWO&=GXfz_b>Nu`)F+}34i zrRzN7_`@X>$zE-7JgAS*m=>rJ87#ffoKw)YQbC;QVs_W?!`%uW(ww~~6=uS|pf$yR zb8-H7a4BJb_Bas2c5H&DweBWT&dSgv25>)ZuBuXym+7UZ#xN51vuih{Hkgv#H_6F)8%n6b|q*LqHD z2>s^1mGT;vbFYgWbF#n$kTz14{w;N!Wm7b4%dv|fl%jx<@1LH zug!X*O*)V9B;OzU>`OVNtsU^q3kC03C~gnecHWCG`^#yZ`()y91VHX}K0mO(;a|7r z*O`*E?JeCYP-QHGd;jvt%#G~C@}yR{n^w96lZ0&hG@xD&sLfNS2_?76FtHQV>t2ye zR3E$K;a%J0$ulS<=Q{L6F1B_uR7W~BMI@_;OFFA!HVEj`I7goR_9Fb@Xo_+xc7W%h z>$jPOrDJvxKWY1e8pKw^?(if}y7)~3i)5gCyKi={Wp%Qao|TCWQ$`BVBvOf!M+b~v zd_liud$UGypud4v=PEujBeNTs=GKPGQ1SJ4D7?e2kM!h~mq-Jp3p(9}xZlS(PTtoh z6%z*|(ihr+n_n%si+RpeO!mZ(G5i5Nql`TcNh8DOb4F^+)ETTAibdHO9a5YJ!YlUj zNMP|MZF7iyWpBsH*OI3x<9fwt1g0f8(EP=TftH!Oww|D<>1&N$xI<_xGN`iXOhJw; zWU_{fU+ZOZVT)EY%p4+i-HBmeCO&6`kzL7k2#^}f6+TRe^&cj>p{0GCC4_5zLU6=d zPDHD*=V?J$7!;a7=c#!a+;rChs`rGWO zL83Nbr*}2=v!eLc?Le65NfFV9lc5YtkRbN&?(f{<`~;I%G|z_Q>v_s#oC@1wEb8w} z@JgruN#uOkRU&JF`8?bU`__zZF*}o-av}qRW!ryRkcmP;hk@{Gl~=d>}Sr%9cv>?o3=T$62$RKkTgDoDPH9TJhSae7c5i!YAx;v01h+l7Cu> z#jVr`1SeXD$UtgorEGE3q)Ea>-m(5sL75#S>gHzh5!@IeYOwax6I-rLSpE_m<2PVN z`n7TCm0)~!9zpZVHUc->akAsB*0_@~hODJpu6Xehv&D%WtmpCP&bwp3PLleZb6Pl^ z)>IQDD3uX{E6LT|j6y^$$(+G7l3%p+ToDM<=8aJ@$W%cC?c5WWQDm#}p@)=_Hxh5a z0|BHXd(&Bt4OBSXZi;<(jt#R-i9+ARoOJ8mDTQm#po?pej3q&vKM-8+Z0E#0N?{LG zseZmJy#Ii*xp^VQ7*uy>M>Q)`)3Wv0K&eUGYSur$S&lB>pcjDjvjIU#qYL3+p#FAD;>75 zz+O#-lcBs+0;M}CCu?uf?nRnc+CLMH!UMB`)yoBM2^IcPqY71Kn1KWmzw_`XgRHhm zXR&TmzL}!zP7`+jC1-ioLDu6#YSiLYs!MgT@Va>h@E5Mc**QaA$l{x!Gcd`{S17Ehk-@|$UJ$0mg9xVUCZW*GutL(Qv z?jH51;=+gdVp#2wogQ%!!-#7cI1Y18ytECK_FsPX_3-vhH=a6>|H8N36vDd5G;dwP z4Q${P_w+cL(AO&WE&tJIG9(RjVNIBqQ#iVQVeWBL9xUg@pLF)Z#9b8kPT?IoECt#t z%n282fHhnXx}&nWP}ZL?@p_BnYqS3GSy%cn713}FcY7RC2po>g6v*H!q8)hIz+SZE z@n#y-!_DwilsFcMyR5EV^OdWoMXXvrZjfN-1%`vtt{>&k1tY;%W6f%_`5#{44IOtoGYQxj6un? z@01YomHP+=2^B)CI8ZdA_aVYI>r8Fb{(whzoN2s7t!_0W<-n^iA@P~u4+Q32h_6`1 z-H7boBF{`V=dkZS$A(HvuLmBDsp7YgI&tv_m85cpWv-!#p9rMS?zcZz%;6K#L^&iU zn^vf5vld9B-o5Ifd|a^#`DHDSp`we4@h9+|*DgDOX(32UN^5vp@aS(8zFt!$P*^HTF9_`Bw3sOIaz0|NMIHP^)GWA zRhmZdcG?mG+SMY9Mp&r>V3UF24xgqL4yT1&GvBTbBOqRmvPA0$-wS&^j>)Apc8FK> z@W>=#vbASE7V!+4!dk)zKL1f1{LWHq8M-Fp@#nrtWiL*9iZ=g6R3m|f&PSUT6O2UU zZ~$W{1CXLgYn_eU&hy)Vd*BU#TY?rWxKFiD-W4xusdLXJ>Xu@xOBBr&#J@pvXf$Ge zilg-RTxW-mlPd#)>N=EKwMz+h1DJqu%SJ+{R%xh_D{deg)Ra52Y}&YIul*$fM$K9i zZsb@Z@jiAnZFEcVxc2rFBbV$~+=U+mLLtG@5f^XujipDHXPPNkgT)Cv0D;7xJy5)S z@ge6N&Z;brYgro-QaW;)hTu&dF3MbuaOOhO{1=Ve(I6XbiJGrD92@J(*BXAas=)P> zdS+%VSSxe$i7w!2fDMXB!iz?-a?uWlaZ&zANM9r`UT9kUWpXCUH)m0Gk|JO)$^gmt zCd}VEsCMx*JanRRVa=(}Kjq_8m>RM2(GFV^wa}JDSc9aE;+$b$Q3O{VwF`forfH+q zD&J=MgZrWGea5$+$$y6|M9pGLcKan;ILY+NRK~irXG?4@w8yHiwX)yn;@4{?nrWYrmKnNE?KYUdwbDQkQS^WW?dFUtSrub$oIUj;a6A^(Bo`oE1r1u;u| z?slH+{?&b=c}pE>&nNg=1%pL(>gh80wEWl8fAe7qOfK>!_9V!tM6!S)deFaVG7yw8Lpf{KDB5Gwa3^uGYi+3Y$1 literal 0 HcmV?d00001 diff --git a/SS2026/Quantum Computing/11. Shor's Algorithm/Shor's Algorithm.md b/SS2026/Quantum Computing/11. Shor's Algorithm/Shor's Algorithm.md index 59315b5..a9f0a8b 100644 --- a/SS2026/Quantum Computing/11. Shor's Algorithm/Shor's Algorithm.md +++ b/SS2026/Quantum Computing/11. Shor's Algorithm/Shor's Algorithm.md @@ -3,4 +3,20 @@ It is used for finding the prime factors of an integer. ![[Pasted image 20260730195332.png]] ![[Pasted image 20260730195353.png]] +![[Pasted image 20260730201418.png]] + +We now reduce the factoring problem to the order finding problem: +![[Pasted image 20260730201734.png]] + +![[Pasted image 20260730201944.png]] + + +## Quantum algorithm for period finding +![[Pasted image 20260730202008.png]] + +![[Pasted image 20260730202021.png]] + +![[Pasted image 20260730202048.png]] + +![[Pasted image 20260730202055.png]]