From 32a184c7a02fe73125278499701fd4eae8667f4e Mon Sep 17 00:00:00 2001
From: kevinsung <kevinjefferysung@gmail.com>
Date: Sun, 3 Nov 2024 03:13:01 +0000
Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20@=20qiskit-c?=
 =?UTF-8?q?ommunity/ffsim@2d3823ddee19dc5ad27aed7d5379d74709e945fa=20?=
 =?UTF-8?q?=F0=9F=9A=80?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 dev/.buildinfo                                |   2 +-
 dev/.doctrees/api/ffsim.random.doctree        | Bin 157450 -> 163994 bytes
 dev/.doctrees/environment.pickle              | Bin 892325 -> 894034 bytes
 .../explanations/hamiltonians.doctree         | Bin 23449 -> 23449 bytes
 .../entanglement-forging.doctree              | Bin 27146 -> 27152 bytes
 .../how-to-guides/fermion-operator.doctree    | Bin 41913 -> 41973 bytes
 dev/.doctrees/how-to-guides/lucj.doctree      | Bin 45687 -> 45695 bytes
 .../how-to-guides/qiskit-circuits.doctree     | Bin 39732 -> 39732 bytes
 .../how-to-guides/qiskit-sampler.doctree      | Bin 43931 -> 43919 bytes
 .../nbsphinx/explanations/hamiltonians.ipynb  |  60 +++----
 .../explanations/orbital-rotation.ipynb       |   8 +-
 .../qiskit-gate-decompositions.ipynb          | 146 +++++++++---------
 .../state-vectors-and-gates.ipynb             |  56 +++----
 ...ations_qiskit-gate-decompositions_34_0.png | Bin 56605 -> 54140 bytes
 .../how-to-guides/entanglement-forging.ipynb  |  50 +++---
 .../how-to-guides/fermion-operator.ipynb      | 124 +++++++--------
 .../nbsphinx/how-to-guides/lucj.ipynb         |  98 ++++++------
 .../how-to-guides/qiskit-circuits.ipynb       | 104 ++++++-------
 .../how-to-guides/qiskit-sampler.ipynb        |  48 +++---
 .../tutorials/double-factorized-trotter.ipynb | 114 +++++++-------
 .../double-factorized-trotter.doctree         | Bin 54438 -> 54438 bytes
 ...ations_qiskit-gate-decompositions_34_0.png | Bin 56605 -> 54140 bytes
 dev/_modules/ffsim/random/random.html         |  31 ++++
 dev/api/ffsim.random.html                     |  27 ++++
 dev/api/index.html                            |   1 +
 dev/explanations/hamiltonians.html            |   4 +-
 dev/explanations/hamiltonians.ipynb           |  60 +++----
 dev/explanations/orbital-rotation.ipynb       |   8 +-
 .../qiskit-gate-decompositions.ipynb          | 146 +++++++++---------
 .../state-vectors-and-gates.ipynb             |  56 +++----
 dev/genindex.html                             |   6 +-
 dev/how-to-guides/entanglement-forging.html   |  10 +-
 dev/how-to-guides/entanglement-forging.ipynb  |  50 +++---
 dev/how-to-guides/fermion-operator.html       |  52 +++----
 dev/how-to-guides/fermion-operator.ipynb      | 124 +++++++--------
 dev/how-to-guides/lucj.html                   |  58 +++----
 dev/how-to-guides/lucj.ipynb                  |  98 ++++++------
 dev/how-to-guides/qiskit-circuits.html        |  16 +-
 dev/how-to-guides/qiskit-circuits.ipynb       | 104 ++++++-------
 dev/how-to-guides/qiskit-sampler.html         |  16 +-
 dev/how-to-guides/qiskit-sampler.ipynb        |  48 +++---
 dev/objects.inv                               | Bin 9574 -> 9594 bytes
 dev/searchindex.js                            |   2 +-
 dev/tutorials/double-factorized-trotter.html  |  10 +-
 dev/tutorials/double-factorized-trotter.ipynb | 114 +++++++-------
 45 files changed, 956 insertions(+), 895 deletions(-)

diff --git a/dev/.buildinfo b/dev/.buildinfo
index 13044181e..e190e0a5a 100644
--- a/dev/.buildinfo
+++ b/dev/.buildinfo
@@ -1,4 +1,4 @@
 # Sphinx build info version 1
 # This file records the configuration used when building these files. When it is not found, a full rebuild will be done.
-config: e9a5cb47c795754d0c1337d378555ef2
+config: 4c2d19bd5c126fb1506a21c1384a7ad3
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/dev/.doctrees/api/ffsim.random.doctree b/dev/.doctrees/api/ffsim.random.doctree
index 7e2443d4e83297b0da1d5a28275fcb71d1875bf9..1189e0e38a51118e7bb9fed67e1bee2128158526 100644
GIT binary patch
delta 21782
zcmbt+d3;vI^|v!2Bq4dSkc8~X6S6<qS3&|v>VoV<MFfiwAdoz=Lu3&o5w}_t!%es%
zRl$lPDzey81q)~uQE8#>3j*a8#flIsE*0zVd(OG{S!jIU-{<q@kIcO@XPcRGzH?^o
zz0W;=4SBGwSC7`fPQATHeriO?{D#@n=FFNjt#S5(=7md))-N(uUt?ZstV1d$&1zUU
zzj?8-F}1o+oj<MBWR6ZzGmZMRA*#b@-+bq_mL#jSqbYT`YMIisBCoAuc}H$j;Hube
zrF1j}P3&mu^9!xUL(UoIpfokhn2^5I+;D|X)9wJHVOqJGZrq<fz_|bR2y^h2x=go8
z?Q*I$k5{Xk^g5~OL`~_=*vu@I^J>5)m$(Pv-<=)qbalxktKzz~$e5FLY5dTu8yB|B
zpS{4@;1nXKbkD3Gs+0OP&z#aYe_`P@Q=4WrPh04m)!4A0WqxCk-IxC>bLKBG-_ao>
zmE?Xiz$k4lkzrlY&9F8lxeuZnP039G7~#R55&l)3W#tm5%$~D(f%B@y`LmiAHaE<6
zV#1wG4GWx&%`+Nj-`p^>rE!6CO5?&sjg7ONCEQx->4HbpkpB-^-X48KJt_`&e@JGh
z4iDfSm`6TRGxS+BIm-2y0cPoNy<PX}VQd^%u6i1+xqXabxsk@C^W$~j9!7dZyw2=l
zwrMp?J9`-W6Z)$nV`E;Wel@^IACaw-L2`95_)1){%(r)K441D*mdX9>zB-_X8TGiz
z)0gxxO8fLRTklf8*Nv=DH}o*Jx5QIXx^6BCGkvO>q;KhAv>hm?+P3YfOf$Pg-{_Ij
zxgElO3NTJQn5Vup_LaEQX=8syj=A9;m9Mu#6gu`)4|Dr;^@Kjy!?^b!$@&ee4+o?V
z?^t~>Re~zfFLNjK-X2EREhTzS4-yOk#{QB#mORY(s4UeOyf{w(%u-#Zd7pChv|RJl
zbviZ3au=iiyJ#I9$Z{eBS<cTaN1qNb=1t1e2Lp_NQzLa{AdD=CDG$WFc)hAA1v6z%
zxL)T~Mo(^-e|_`KH6{H^`WID}^sksash9Y<*YA2?Ok-R)<;)#HG9|bpE|SsV^^7rO
zK(1LlUI!2TFS1oV=QmDoncv*8Dy?bZ!nq4-ii;cOFK)iMXwLi@#SK#y6nm`dXlcrK
zkCI*t3pD=rS-HdVwMg{q%0Qa;oLK4>J0MkFM$`x)W8SP(qxthbz6=<hRiCG>s3<CO
zPP)kU8t4DZ6z+5yfnNH=j#cOsEG{HV3u*j18k#bIcv+q%@6e(t2TgesJKU3CoZC4W
z|EXg)lc}l03oo7`qv3QvV|UfB`rJq45$KzHHC;u@m2vL$(w)VreU;t}PneQw9DgBM
zKNh%iby|YbyQr$h@feB5C}7I}h#F_JJ`_j*s}BYm?ddN4N}#zfR`)U9O0U+R(Oe}P
zd3|F;J|(s!_X(TGXuExgy2R)jlwu4X6c=&<%`H>hrvi=1gZip))TipN1C5PWMcbSg
z0?pF(s#qm6&tn;vstZPGRhm&UBTT(QSLWd%y7xuq)!*5qo;NPNjCx_zJ&~Xv2{hZU
z(u1R(r(UN4)7`^+;@|UV&FUZaM=}!25DeXDL|mS0Y|WaZ>Pey5nxJ|cBeS2;qk1w7
zVLf5n5n5Awn%kYa-uUxxCaE^6T~iRJm-jT<a$~8eKR-jS>q&T|)-zA*@FH#YBt+7i
zdKyQbs!+oX=ZG9_favOCVkvdSP_cb&Un&Nz8o+lzlBGQvkJKWgeQ1V}oBx9P*jD&H
z=z&KlLPp(5Mf<1*^))Mu934j$gh)gMIq&$&5m<{0A{^DxK`aIZ!CG{Xz*=Dt!y0Ny
z2+=@DWRQU4qMi(E3wttZOhwO1^7Lf%Y*D?Q3^~BGi9v*EuAL8;hADkZknwaG`WYnP
zyd;Q+;;tYX3O&51@nHEZ)nYiWF46OX7>{NLvE+#$v?XU7k-IYVb0U4aNH=Cy&d{$2
z%S*ztomtdmW9}pu&D@DVRjxJ~hbPtb`6>wW&Jl2yt~dhD25|)3+wWSXgM&R0&?9(f
zTK{CF<EW~}(IeOs0ew*8j5f@gJ9J?%M?qdNM?qFFMM0cC6=)8ctNQ9If{p#tQZ91o
zI-Azm{8g%X(}T)kj2e)vC$glF@lfLl34K#{0>%e(Oz0)jnA6jUy0lb}4>mU5=F(Zg
z#vcdH)N4fAeSXq5bSLe;U}Nu~QoYqr7%DAcb1%J09}r<L`w4reJ7F)2u#<kmP-zK6
z^y>>E?0a8fs+X~E+Qp&&y>wH>bDP!6?>(}jGD|L+6NJ4^2sQ>^mZW<GbKL(NBypbr
zWfJ#ShTsZB2QRB}^g*o^_bS+ky!-(@B7`z3<HO6J)<Z)i?`S|3T=~WjPqgc0AsjP{
zLyQw2_E8}m>K!3Q!$%1!M4Wp~2s`(N5O(e>Lpb%g4+R1pZ0#S%f{o%FH;8k!*icOg
z#^kto-4Y_vH6LpG^fjIvdO*J?>fQ=rXn6~E{aUTiXCV!_PM4+ejA;DPPvhwjv;Ica
zN1ujqBL?Z{UdF}|2|BhH8JTNr>vZa<UTkPuFQaZ`nTDZtYjcSF;gQ7}3JH-=kfkUH
zVNd{J^kuym8E^+=P;Yt6KkRS*Yoj00P0$L2nFbCZBZ~U-$>y=!)hN}=?8?;%`nFzX
zdrv(aK0w&Gs+Top=Jw4hM=$Ngg9bLT1qIoHV%60*pfJ^4suXfKTazI(zg($)qhIc2
zHiYO3$RwqEJxWLFk1VZ6c@&1}4@B)}{%YS5wO}N*C`j$zUgm>$sz$Zf*fzUV@9|g5
zNn&a!XQhe8ww45)7|LLp7%E^|5z0e`S^`rP1g3GJw(Sh2bKp`)<!;2tpK!rN2uo)`
z3><J;s9@>l2~kSl7HaIip+w&vD(==A%0qWwsO@fBemzGo3l(<@WiV|CCCO@<(KSEX
zn7k}b-$2p@Pj`!kKZyq8)*GAko5FQaxc=nJg{)8w<q6+Vm820kM<xyKb3PPd#jyG<
zT`{bF8_KY{adK~^Bf>ne8j8z?|L9bzsd0pcc~CV4H9*zjQyX+e7^7-Q7@?{vFiP6$
z^$4yDxe5$ke4G&G1F*qXwsDnlWMzqNk|x0ob(OK<wtPrxz5OcPCX$x>Nm|{Vq~$E>
zAwNmWNs=xIGXOwgzUCWa?rhf1FvcHrlJbt8VS+zSs1p2ngRVd{yQ##Hf@=$Zg2RA6
zImX|cCh8+$z@WeDzlIrs?tS_=-C;*`OlWCG^w%&!rf<*$$LI?4B2$EeV=dIdZjXYp
zkQ@giMV>>PCCg#XTcv8S>d?abMi^sLI%t4R;2?iT0e@Ga#=unr`39aE><~{41POqt
zWX>bnE!w7ww&@N5rrSi_?UuS$hxn$Sx@8UlrezKWrpF-&z_giJ1ehKZwjB-tQ@O%u
z0+&EdxCDJ<Bnk>j6cZOrqCy=@HU^t%`dtV$%c-VhVK$S&{HcECOYZZd*#8{_A%#Lg
zxzBeF3D>A_4p-DtxDpMdeB+Tq;i|N8{6QBcfD@Fj!Z=(n59e8_3+He(POtCOlfsSG
z-(~8CaGn4)(Kymsqi+hg$N#4#)oMKIqK#)CO3`DH1>aJlu0}<gvEkEDT^H^ZFY)?-
zsOYp*Jb24k{iJX`?&0e6aLt?KQem6|X?Ph0>)*reV10|OI9T5b=U{zud79E+LYV9V
zf<FfVrTymdMd}{otI5H}!z(80ABmvGVK-t=@Nd*0cE`0YGR8d^X`Fi?!r0K(2R_#I
zJI>X0NQ6<^Hb&(cCmu+prjV=%pEy?iP@fXu_RsyZA|&^}LK>|MAS;5i2?#uNTa$73
zdW;gpP4E*pvpaDUEOATy#7*#sqpgX7HnDHDpTLdX30!RneAZ9kYL7t5Q2fV;GL)af
z86iFoXM{KzE(q}x%>?gEjzX~;M3>)H==e7czwAst4L6QIk!w7D*LCV7^c9$&EK;ki
z8F2&x7LG^A4&{5a78+v~2kG+>USx=lWMqhlWMn{5f4)gYGB6ZI3NYkFQlw%k4nI|?
zk46~n-{uenU;*S5aVRL_P|)6l?hq1Tk%9{$ps{daw&-$;E_bBh!kwb+ZcE$kqHT?>
zjSgp8BLx;(BN-O9Kn`HxY32}E*c@qe{ksNcQMv*f0Sl_tn71?9*fugnLnGOVg6u>=
z$biB|h7TbZ$bcF`1|mZTX83pD(KVa&&(eV(r2{`&9f*tK-CTlE_lMy+Hi}^_BZ{LK
zmXQ5XQDT2o6x&}LMfR(KV94WatG_S}iSjWYOpIz!Mz*6M+flr;b|e*+?MCjlqRv(w
zL{(%w(ZTrd{fuW=Q}-JUf5eh`K3K1cVq`->$hInqk<Dn^QDn461i^b+x2G`;1pOw8
zrx7{FyqzxHGm`U=^AQX^Uq=wKsSjB0{W-z<-6$`(eG^6CroQD-`C2-7NpE{pfNlCK
zj2n*Jz5siv{w#_mzY9Wa>R2*^nkqE*zkovlY^+_qS^AnsMyo+oNt^H(UE7-z7?)A^
zCl~S2;S^k+wssn^LAW-fw~cE}bj7&V)SGcFWTR5prSE^CRxj^uT=nR2jMDxW(u|0y
z$&Te9wvIMd_crGJzEwRgwhW5XkM`z$-NU{4bi;h)3hh*X_O!lWx8hhMl@FNJJD$cP
z+^8NlPP}-FI^(H6ZCBU*$vV66*G~|!rZ+<bETtr3ac_Z$HPk7Fh{R}If#{hhvK_0*
zdVz?gy#W!oYTz(!V(#DkfKG{)RG|`8NEOPW<?wV&G=ss2Xa)lmlqNJqGa9&~WtEz4
zw7;Haoa;=|3!`~96VW~*TTL<A|5BpCL*9ylycNZs$iaL!y9CK$`|B=!B`AOg%cB<R
zr$pToAjUe2!nw7Y3UcjX7t-|pXbwx%Y`DM;@ND&%j}%$1Pl=d+h!_;))c=Skr=D!I
z9;m=Iuhm2V0mr-oR_gQ^?r};Cn~)M?MqRDzREkmho@~1kQ9~!bS4Q)~ei?W(j13cm
zFl6kg#TWzR;@8LUIF5}W58bR{_^7reM(}f93`4?-7;CuXtaermLuhjhr{U9M*o(&+
zb%$M=h02otv<QBZ1-sTf;xG>E>TPTY4KiNXm8V}6<`;zdNt>BM05i-Xu(Y?SZc=rz
zF?I-iMpqmHpT!^qZri!(`6Q(;iM5w@eIaJ&e_rT;)SRkn92Y=uML{@f;6yj>nXR*8
z`6)`eQTJ}XPKovSxgIDD{jCP`NVQt3$4X_rO-&1+zg+U}s95rDI>&o2QGXXB&K(tN
zJNIpL1)8&a%fiBOZ8`T3#*z1Ojj{V0^xd)S-{Jqd%b2r2Mc)xCKK>A@;o}d+dKbMv
z#qz8_2fMKgL_vOjIF|kV@3G?Ne}%E^=QvYSA6M$z&<r<!9o3SMfsI@p1-Uv3TKwn^
zKDM2ix4j;!w}Q%gRG<(~rwWb8f*>8yhy4u&`D#QT24EyX)D8%ycFHb^4AR1kwofyR
z!>fWUX~x*s9#f+{!iI@36vGbQs!_C$N;Xa%%)qA3mWN7`N0g8^#77>x^;2vvC6y1x
zvRj+6jO->0pp>Dbk0ATGH~y)2^f8XUnWvsZV~T;(OSKL1WT^gZl%C|Fdgah$^)#w^
zsMKbV78v^y1Jx$fxggD}MNs~q9!;NHn(q1Ac({Vi_XG2N?%^XB#{}~M-Vau^_At&&
z%8bp5vpqeVuGrJFjkBk3F&;Ydv%WOW<L9+;#)p4DsYg*wjiVOCmYa`64ct88?It}f
zj@^8+apG*g{&k$!&6i2TVynT73{?wthg9BgQ`1J!SFVxX)vU+FF@{4sVR%)XxcL~e
zl`(ujU4iJ~_i`K~$tc0_>NwsA{_tL>J`l%#zVH2Y`Y&<f;~%5SQI3_k{+k{8yEyjl
zf5BXMHwyCZh<NtysCdC7M?7OvQaoeQ{y0ukLO_G84jkmzD9Eu<5QftoT<0A6mS&J+
zp8*wceAUtY`s#RAI4Yi<8pXq(G-wp+*m&I(&lrxo_GA5|GTB@atLpSpPYbywF(cg=
z9xr%%CXOBR3sy&t`9U1HjC$8BRqAT}OgzW*mU!~YC-iIa47jgboqJU}_qN?R0o<3Q
zcYls&z}+3s`NkHI+G2C~5LqR#=>M>2m+{m8sn@*|m?a{CS^mQ;`rSB6HDdqb@taXi
zsiSZJQGtgBM(U|DT}FZmGOR~qUOM+XVCn3637$6K57QfNPQG5xj2I0@`%$cWXo8XY
znM)5R8T@q1sV4=R+b8Iv-qus9Aqnu42Jj45#>T|H5h*Me;v$gqUzR|_NDr(?nN>L$
z9OU9geNb|-dm&ieE%-+dh^~V%*sb{x+xDVIi$G*-{Cs@@KUA6kDL&7X{s?V0ttG*I
zJ2A{XovY!rlz-hurt%@sO1k2ZT$!-*-096q{|;koJz07n!T8S$_Z!cD5oav_a-x2U
zT522*SXM*$7StdxtIpi4_b2c{(2EJ2hCQF)O~dpD()5nqgwymf`kYjL>8Z36Gaa1B
zl6oZCk~ox|Qk!ho(xJ{prqGi0OaccpET>>L5+s<Pp<Z$@k4(fBh+@Akb8MlGNHBLM
za4_HUb%VYp(OR?~(_<1Pn43_AU~V+qBh(JPGLeI8MIuKt3X10Si5$%jB}z1}OXO&N
zB9WtcBpR{l=tO~N1_wnm3W{bF6wP#pXj_&j(Y6FMh~-beYtx^Ix(`L&hcJl_mA@5z
z-&^{=5q&zzSKqlr+2owV(BV)yF^M-h$>#o8m0}*hQ5ER;BsMcUiMKg0lMZh{PKP&8
zNM=G|`jaX{C2}r^N-Gys!$?jAkx?#)g6x0K-+o|`nnQH5$ljF1c!YxR2nFy+-63*t
zM|i}Qf=9~qv=APlg)}rJ*&{@Fq;F1S2xvtAu}hhP@y7n=bx}#n<bfmsq)(Fwkkn_?
z!fT{HDShwaAyXsQCa6+<EQw}FeMD5eJnHw8SpESJ+wvt3Oid=A&`HU%4BzuNhk3k*
z8lj8v{1c}_1?Gt~CC5TZ$u=*ok?<)_1L1KLiPtCFkvN{NI1<Mv(@tpDsh%oM>G_an
zh2!jGvo=`$sN1Nj#xWZV)&kjz8f$?xlX-zONPoUwo$Os9pOu!U>=s!f4@m9Hb}h%1
zzi5i9l{m4()0)}I99PZB5?3q9W{#_G=xSxM8Rt;Nj#jcv0_&z^3M_M}Lv7OkPBzoS
z)e-$&GKZClFqI3QLDLkL!uuWNqN)m=ox-t&f@14eDHL1ka%z*g8=PX!JAsqY6n6J-
zk~zEvfDGXUCi2_t6tn&x@Y@s)FI1BAWTc4mI6)&zCESlSwt)a!9u(x7D9AO}vw_&m
z2SW^bC)Zov`HXKPIVc)Q$E_Y6?4T(r>_A~D>;xgO7!G=zdAa9DQ^Y}kOkoH8iCUzS
zKY#^~S%OlnPRgQro_ndfh)!JeE75S&M}xR%MJmHqsaaR5^3Ao0szG0o%HH`av#XzY
zrz$n0%9KmPF!D}J4SOf1jl6Sqs_mU~=!(5_PAYrn_GHyd>ANA%@=olle@IcMwMkVq
zj@!XtdFR?x+N<klQrR<~B;EOXQ>xDj@rpF<x0}39`?0jV&n;?`dAM5LqQ8;Kb9N<q
zVC~TTwUXnm!|OHJ!`yDpt5J!1MXEUNI_eHPZh9K7)}@*=GE|;pEg3D2+m_0X`<D#0
zUgel=g8-TIih;R0Q$3_J)5L=Za08!(^iSj6jG2<HCaH14aBhi;$1qdUcTF0*@|-kw
z<$2UTT+d458NMZrXE+^gSS6ZKz>UE`Zj6FfiEGl#hjP`W>KZfZO5oI(H1Xq+AhP!|
zJ6I>Z+OQQo@MRRVm)V*odzsh7R=jJVwwhg6s5BHT>?vPiE7ci~oYNxbG}>toep<*+
zdC1wnhozB!n<s{-Ok?h{AdNRZX#bt*WOz(>ig#b?<b1HsDO<UL=Eh;zd~Ntcjvnr`
zI?wK{`cq4Zu5_}WmI>Yc6XP@_)vbollX!9O#iF8xRk+MqZzzYkzEp*qca>sk`;ADr
z(<=dlmIQdZ%B0>D826tJR&C@Pbh^O%l|DP1w$tyVD|Y&wPImfP<tj$$HzC?``q!N1
z-U{`l{)nn-9It`Fa{3QZ<BT?gs?;Lg<z&x4!?u`%(^b4a?KDqRA?FTB=cYij?FMuW
z@5)dMy`RG;SUO#rQ+%5}!C_X{Bcwr3TYB?|+%SIo+d*M))XDh$nv?PSWv7I}QR*Ov
z!SZxm9d(+Y)F_wZL+XZv!7EM<g8{X8cWz}mWk%+qTJ<~Knl7o)1E|9?*qKh=zgh20
z=iKPobar|agx_zZb8d7fT_*pabcPPB-b?4nUk(E7<X@o%*~)_x-mjiTf~_+2v+3s2
z3|)be5LP`+bT0iQXyE*J4OWXW>1|W3B%@bf){O$XRkm3_5pUw<QoHPpGtDF8RgEs|
z>#G`LINnkXMhZL>6nMS*n$FAASiXhoAfl7)mZhGaCaY$z`bO{}_)sADkTN=P=A~9p
zdj(a}LO~>uHRU2%E7fCOF&jk8hQ1tonr^}JkS`1G#~!D#kOQ#JbY5cCU`(;Zd?d1H
zaecq91mU-Rd5QU+T2jo&&8nEh)o7hz4TXf@IjWUof-i|w&IwM7YTEg|-`A^1La{i5
zSDFHI+jOinfg{v7Jvf86Xah5N`76k<S!k7k^YAJI=b}}nIl~S(H(hbSxidK6`ixSk
zO0R@03Ao@Dpr8md=ceg<%t@nElo>rn)$27xQsc0ju{UW)4FYiA7`0e$&Y&pMk7e+d
zVnc>cgzb~2J$4gsPTrHsw>*`e&B<A5`KR5&u?M$km<#v9i*h<3)6&6#=x+}NVn+rC
z;))Co#HAS$h#k~%4#bK~Ty<oaPmEOsj&|y;1mdy`^Y~b`Ox3U|S&LR(r#9$*aA>@C
zt43Qk;9P!0rnMGbuO3ituBUZjdL~B(3X00xGI=SwUD)WIx7JKvj_%83cc?%+mZN1T
zupEJjq5=g)#q><`-3b_1x<$$}6<|tdvXeoCi2U0P>Nx~64GF2;FKYM0PTIK~6}`v2
zdOs4qr~UN4mnoZ<_cD3&qO$l2Q$QABh&*BXS=by|ym^7Sw0QwJZC;?0%tb-wLUq(+
zwSaE1dodrKtS-}~S$qsa#vvq$5FPome@FODk?WutZ^c}l#c_>-7S*e>cv00ev-sIF
zYDo&wK+5PWpW#@k+eN^=BH&&$Vl~xt3)*`;w7i;5%;azxfv#b@F%%<$we&UU#P;(Q
zGkuA2nun*WyY<N|UQa*e;TWb*Wbw?M&9Y`rQpKZLJar#raU{N*#iCyUsV!Q9H#ysA
zf1?6ONpAp}uQ#iax-gqrT-nT$kZrS2@WS6Xc$Wb+5WLrA+rc}It~hwdWpnTzxd|`x
z>A8?)1@BByaPZ<8^&{qIv(y;9f?8`Fb_?S6R@5MFjoIqAx-*;OwjCDY&DDFeWzBp>
zYM=Df`n}2b3atIFH~IE^Xve&x?$t+GLdXZO$NPrLKf7c6Ae-O0`$5{Q2ivHm*W~Wa
zHt3zZ-Z^AsNO+E~FlSCTR)puUup()*-ggN%_up$R{SZj+-3<|em-z`C+nvD6a^(HO
zseTeK^OH#DB>uxoFw~aKFf=opVQ5CSz)%}aA;VBRl)Kxq&7W>og^pWk-UNo4;WOCJ
z-MC0yqs<&XDJi=9E;DJS>K!Z;9XXO2JdIX(?USbZEqSd|m(dHj`alkc)5|%8MW)NZ
z6Jq)x;8+gl2q%zg(+2@Z(IM=8{+YuL-Ht{;(FZ61MPNm23oE_}kc$zkimV!Z6|gTy
z0`Nsp0*|&WQ@5(VX2W{Hqtsl6K@<doHMtCf1Gt$E&vkV!>%KDAS9b--pc_ntD<}w8
zQghAGE7T2qi&##|^;3J}<LV`~+@p4hs6}DDRyR_2=JI=WIOrhTSh*p}H`>bO-MZDH
z9lWF+1!-TBYfg0O@q7#IH~VX+m+RE~9_??7b`&1%=Pd1Cd$oTh+AsKP|3b8bm$aiG
z?QiGuD|UPf?MM8zb5>MtraytKr#O$169pk>ah_~PhEk(ETR{t<C($9tDKL*bi9G*B
za^ei**y}<1g&cw*coJ${`f>OK@|$JCPx;M~Jb|u)->NsXnP>j+Tkx-=b{<o+Y!jaU
z(O%>CdDfJg|5&BQsCLpMiO#)5Es4%OR4W<Pk~{`J*2q|?4tup8vb5rZjp6Eqm;Vzl
z{~_jAk8@Yd$!{t=w#gCnL>v)%_Hx<i8A?}-o}n&A&)?mzMk}4^ve8pJUAywu;NiF~
zr@9)46CBoNqs(R2AI3KIK||f8hq@RvuW&JF*10Iz@xJKX;OYjLCVFUdI}v?LSVBk(
z6nNqBuI?CHTxP^tto)tQXyIdvi}4Yv8Ev<UxGjF-_H-w1i;DsBbw6pSB(#OJwQs4}
z`lLuZ<|nPIJ88#Uf{s7?i92SC1J+(;*6)$LEhHx2r?a$eK*PnaImP75YfcqbtJU3@
ze9J&i`TVBEAgrx)G1fZqMg-2JlU#zemFR$A?G&hXSGvr|hg7Mf4AmCarnneuTOLx6
zs3uk^Y2W1!<1no;U(&wiRu_==EzP$ds7~feO1?Vs8SGFH*lo*au-ie+dB*X%eQ^fR
zunSv&J^36NQ_zl$*cPgkjTjgy=uuG6qZqVmpu!CTwVkMBFLWQM0JO!KdWQO!NB3C>
zy|)jjNp)xesWy-7RjK@lGQ@0u72LE7j4SX}jt@XywUk2uDMvxd&*qztY*K^x7V5wJ
zFZB$#qs$ZgtexPn0`5Bs59UoT5X5aFD%lTC^BOYWHiS`EP4-#>8Dt3xvSe6+ATQm*
zk|9Lr(mV+1yHdBPfB=A%$Ba#428#OgNxSZOMztutzra+_szmj&*N(kjI}Um5*jA!*
z6L%MoYvPm2fJ>Y=_<U)#y8x+ivN`fQm8m~1Fh_rZjqYb&fhWBJyF3Die~(wScNdsr
z{;6UEN$>)5V==bYA%$X4s9FDaYbgrCi#}L`V+*a>G07O4m&z`j)9AuNcBx`7U%v45
zxA}PO2Kl)&Di&;P^SK|et*;l>YrL$Zg>~Y^tdlROn4Y<Ku*K|ybW0&W%2>pl@+f10
zu(lQQZUByq-9Wr&<aB}48aNhW)_$j|^twVBv-MsBOp&t5Ho*L)@p{o3uf1O0-NJj&
z!`tn6osdqS6w@Qm<BKWbJ7e?Fc>S{FJm`T%Jm@%$c-xw+fFho(s3M<GqB+9I#ZjsD
zU?tAO2bOrv4afmD8MYkZt1R*vwj|H6^_b{fW)Gat@Q-9U=KS|msz@0wQpWpAp{b^=
z82p|>2L*-BrUG+trM`o1u@&o#)UoC>dsQa#B(kY<E><d#1n*Pphy?FVn0xoBbhTP~
zN*_vXD%cgbUrkd)xBMlny}#$SH3g9&8;gLQNp3X!{F2Iy-URoS1=4yF{AiJRCO}uK
zKm0cbXCP!F;`vdZc$RNU)rS^GoPM{6vl$eW&AeMA*$mE1XeP)$v`{ufbjXX|Dw3S=
zzI;Be`K^E!ouVww=j37$KoaQ;&H+xr5h$H;7E3yF?tuD04=Og_cui%i!PG7(;(%hF
z>S4v6xICz?*VV<8psEU@ljj1Z#hf-dP4zSIbl)TKKw|6cR4wwVTWG1n`RNdKx0n46
zVPELWPWwMBJiPzI>O>jL_F_AO*+EyF!R#pJ3}*HrHCCxN#PT_5sro?iF7-DRq%fS^
z8|R)>#{qCzS<D9jk;7`MI!CSiZm<5bn3I^#i~W)q6>K(q_20{Lj}n`hvKVYSh={*l
zOfK<V+>5&9PA=h8MqwwwvaQ8Exr7&YSU}l_8tWBW?<aI>w?gYnBx9K8FSOnxloBL$
zk5}lOenKDUR_L82lqDgp^fMH-lqP*%OnXT4@qb|i>BG(4egY45D{!}E<wyP!ce6zG
zxp=^s85d0!=QbY~b8d5>m~)$#iY2%Cm|TJPks+nH`ncHq>H}5o_<-hGc8Px}=G<oN
zhxlMSqLj~-T^}K>2`iP|V<zfwuAE*f=gOCs@~*MAlvi{Vlv0c<B^1=-OJ&bEwv^&R
zO*Pd8RjEVJh&^LH3hdj!K_G;JK&ZA<&XegDF<OmhV03&{2_h?t(GQBkwW1IODcm6n
zpR*Kh6NP{FQ~0zf1P3WZK?>KFO6o$lP-yrnOy5<0QcVod=UHRlE(}=9l+KpcOZX3~
zzINvNEc#t!O46<$PO0ydc9ij|ts}~02tvyk8WPGF8bV5W$xaL^>pp)7D)Z(KrDePp
z>T*j`u}B)|k;DsOP?;nSB+*J7##$zfvly=t#s&`~uYwk%M#&4<k}{sUTP&tU!gPnt
z#8U@aP8lpSIc0cA_#UzN)(hX07xQ`Y1?C;3_m}bM;mgb>r-yrm^-viveDD^^7d#{7
zmoLB&&KEwl#^^Ik`$-YeWowsY0o0sa`HWFWxlB`NIZqRgi`&DsJpPI;_nj&lA7b{5
zQ(-xeQ?bRE&y422uT-wG8980}MZ<Zt>qW{nmXy(6^%H%ikXFtYP;$P|QqIG+i1~Qf
z)B-PWTlxQf=+>2sd#$%jFr_0KO0~Bmzc_p^TEn;3V&3hw;h=55B&Qb--wEmX$#Qev
zb85Jk?TpR#zZks03Om<I(y{;tR7kE>VNIRwt$t&dS7GN`V6$>9;j66h8Mh?Q%w3#o
zS*|-$<cv0tc;pNhIpclhVD32E0z44zpdj4oDwS*tw-;wyNjlX$w-=wBc9nMiMsFex
zJKHit(8#$=SLv?Dl<rW`gi05uQo{rA+2%&F3&g!6?Cc9Vk$uIRe+|%K-STk?wzC^P
z&YQ?`K;&1x5ZTw{t=;=JPapku1uq0BJX^bS6|%Mann#Kc)4q~{x?oR~9HxDN3B{5C
zUK%MBG*WL@$d-<7q5epP-;&TuzbjH+$!kz?r5tBf%5heuJO~(C$qxe1$VXYAK_ZEl
zfHJfT>k6OkmzDBqdOB7O9KffR^4b0}h`~Cyq*8LerZ9a{o0aBB2ew-4Dg`b&NsMfj
ze_v_CMMb#&HMZbgdAda3Tggw$?;$$t<f_uEL{9k+i=so8BFgsk3E}(1%Xi4bN2wkb
zV@~z3So2|3m7VH^(v=)mRdK5KZIm9Y@Jzj~6wWX=EhX3q3UU~FPWP}GAEQU9a%l~p
zn&Plqaok^4B}v~<YUONAU16RmLVxLDcwLo$;@7}b_PLDx8R<kn22TE#c*KRYz!c9h
zmb%MNg8kzaEme~Iby}_VK~|NV>{Lnex790ji=WUv-3r}OCCT6G{zA8SgpNV-XLgli
z$S6}g<|neNTam}AIQ9G4Um|Mxgsh5=wD4INJ&uU!=hJJQ-LIQdznFe(pRSNb`!uVc
zEsUNV_|24@W>v{)R+XG)RavK5Fy1=Nf?{`Nl{q3+7dXmLZJ%aUamM#_s_xWH{W#;h
z?>bD!rM-2O_2{6npCo_F(Tt#2+E0?d2VfDNz;*PKqpW_Mi*4)2E8~uS5+hs9_F5}O
z_VnWznF0bn%R+;7mIbkhc*voM@8~B<Al)KX+erWpaX@3|fd3M`XCV*ASfVzxnpXpd
z**@4>4MM7UHHfSB(Q3XlSjX^3qF^SSC`jkoe%29|=={=8r*(V<!SYSmuxdHJs`g^s
z^lJO~%A<aosGo1E7mS+>Gl6jsLE2G}_F>i5u@!ECaYL%DttoXmeOFb!PS-fM^61|r
z`cV+Z?l07T()+7v8Bg?fey?ah<k3!PV&d-V?i0@4)tqo{E7n>1(`q?z`phfrqzLQs
z2$KVpYDtN9qwjR!6w=@9`cfsB`|D)_kWEF^TT>s~-)9muIONPp)N%q@*q`UG*vp>p
zW$%A6yC;u?sD`t6{|c`sokjmiH?Qe<>Q2hn7VBh%FKqCsBis&|q}pw69|E_dZyhm!
zGzlnZ5;j#^2O!n{OL7|tE#waeH&yStrb-v7=uH^MZdYA{iR~2^BIUfJ8**N3H(f+7
zhaKVtkNSFnb=raVXX|k$_-cP%=}^#7$E*G2sN*;b<Bwv{LaQCoA%b3}p`Zw|PC5`z
zvKTD|zF@^$ggC;}?C2T}?#LSJlw*K?Nf*_a&kfXlbxDmxbAeeu&YIGi8f!|;&Ov%K
zUgSZGgmY#MuX^cJ<I<5eUL~^P%@9S?EJeKHEf$^@;hE;);e(BS*1<*<uXY=2?A7j3
zy5iOD(VAU{>om@9cSFt;{`sY_U1*g_T6Hh|Y@YesU+EAt`Eoqtf1Rjm99|0d!5V%Q
z@^}qlwE9@ONekWkH9qg8d@s%4_%;LD<-<iCQOnPFLTmZ71C0DdSB}(X*tPsD!e28z
zi+Hn!(R)`7qxX&)LGL%IhrD0EwiZ`!)|mgeN@qF_QrBd^{#*^Ccg;|}T2H8D^!{<E
zUaQB|3S`eg9UyyVt$eq5Pc1|CowW>MC}{iqXe~qbW3@cVdP6M(=hj-D;A_!{{rc}v
z0Jy+GF@u6)1_iw%Pj|qrm9>Ift)Kx^b8hyj=sN)lynKa%JoZGb<Yqs@3jF39YROxP
z22wupm9kPh2e84(16V-v0C`D+Zb6%XTRI?Ut>r{+c`YY$Ghsj6x*7Jvt;Y@E0l0Pm
zx%Crz{s4YKV<FxUrRUjm2XJ3+9bolUUeK61fIHhXfZw)g9Kd3)1*t7o9Qi2`y_rSJ
zFT|P0uhWC{9$|c57&m(u;mxt*Fp+-P;rR^aV-n~2g*Y#ryQ!9bA#T3^cQ5}Mz~8-`
zCnovsCC%@v6YJxbt^x2HzmH#<$bi)0^uugtc>L(&7oW;6z(EH7^2aYe#I}{*k6*@{
zD<&ZIwZ6eglOI$Y`LN<|UG9cbn*}*$6U|g#<1k)Ng&$KYTQCsj@&_=5bj874I1s69
z-L8E%=;yVbI&jx5H|jS6l5(xzd-M5GH~gC07<^FEV75=t@eva{a^1t}`;znMP-BZZ
zYl=>&uOg}C^sfz+?px{K%|x^S|5{ds%x;*~xNynb#s&0Knr@>04O8CDRCl*DrBgi#
zXbNi@fDe9*6TiZT15<QbF!wZN6@FoC^CEM_RGqqlr7tEGkI+B*0XX;1^qX1qLs;&f
z_&pLg{rZXfB>i#${mg-TF+N3h)7Q-I@95)G`ts9Vh3}Hw^l=>9=$=K^8uX98_i;BT
z;~#w%;9fzmPSbnV?w9eJsQWeNmH5Au-e04a-P|+i6%u;i#GOPBIO%Dq`z1OKq=Q~}
z5~YchQ@VE$<Pbi&lWCax3^Yeg)8FWM1I^1D^;`P=fgBU>3`E?d27tz#Ib9belS|OI
RPH)l3Tr|h#AE)bU{|7ODAmso6

delta 20333
zcmb7scYKvq^1kPUka|f%db`O@@9m}|-BklBL`0CHpeW%=ixH8Ys9-|{U+|S82!d;2
zHBpz?0R<ZtSXNzG6(cIL$_iGje4m+l?|XAG`}zES{E@luIcH{0nR(8fdC$w*w$R(&
z4(ZhzxLS4eDs(>CUX!7WfobPFnOGO8jOpnUjHUG#8&$6P#^`=EdU}9S?np5n=@;9}
z6L7{EcV~<+(l_Mmr2$6cT6ahrisoGIxjMk;8k3=o0Ap}#s-6p$^5_t1-jwWV3os&E
zOZ6s^lih!yZVNC6SL=c&cVrf-zWdP1GXQ^<t@60k8D}idHacpujRg}!jFjw3qjcab
z{T`(6Dl_&Cd{iF@Fh*{ks=p#(ZuO-xGVelT-~*TG-o4C@1<I{;FQa^SED_hTsoDt=
zk)YFi8N2Qtrc#XZk~E`zX0k5mWx6)1O1&?@n0#}NN<c-lQP!DCd|i8DK+KheDuW((
zY(0}p50~jv0miO|eEl1A$7L7~pY^P9ZgHf!V}Z)n6MGpQpC%BwZR#>2n?6Y~N}B$n
z=b}H3BBM1Th)Q=Ib`t42T&BiBX93A-JZFzyZ}t9O5d+fPJX?co`s6bGgii!YNCXIp
zSnU<De?`9jIlyqW<m)d3%oAs;eEoTV(Yz|hynl%*)Sr_8xBj%3abi`$lWD`ll|CcT
zC_b-L>p-5EKkSJK540yH`TQB`7kgrU>}Bl#qfC8=f=nab9Rz9J6gB9&K-N(mNIHyT
z7fjW|0-56+BdTAT(fU-Fsy0^kPctHu!>DunS7h8hGKiM5>u{kl@}6Mh<LV)CErGCw
z2r`Ik=~txuGF{{K{3rV~UZnILfyUspdVOo)llNbkqV#%tbQ&ubri9-LhNhIJfTmQ>
zI-|Kh#z?qmseU4mj8r{_J{0Ol0?nvW9j~trFz>n*i~9zcZDS3#jP(_(sj+4BIr>v(
z5BV6PeKvl)JDb<WKMrIY|3m7w1sIcB%hksiaHbJCAsDKSnlaOLd~f!d=-%DsW%usZ
z4X?cD-o~J@<=QQEmb_?V@US$atY0|EJ2CcLeV)iW*H7NKp5&b?@|yhQo!ebrd4`kx
z+Sofd&A2}!KG>Gou_ROVByv%247tpz;vQCb<*7$7@^VM_B?&YKP1a3%0}O6LGS<&5
zuhEI>CS&%1!BHD%t<&K8p1siOL7QO{>mBQ8L7l@D5M)`Pv2x<QdVg<*f$^7a({J}?
z82F+$Tis#ILtZ1}fC^$9P`?{$NSyw?H^V?;5W_%n5Lvs92T82c*+F9JdwUZG=;$D$
zZD=X@I)=uAPy8SJ<o_V>H~mX*_Wz%t6#idz#jARPXwzeZ7<E8g%Tmk%*QqP?wW9Mn
z(Rq#NZ1vYUGstk>9;ZRn!vplaLB`;R6ZP64W99AV>U)G^OOVm^aE0F6+k7WP=Tg(O
zsimZkU}|iTbQ6yRJ0M=zc?})1U<ajy8N>q27;WrqDA3jr8m4X3$E+b7l_7x85Xv^F
z^L1dbvB{IDgMxY50)kCftgcre1fA5Qbt+e%;(62HqaGc#dW1*E^zmE@rC)SYYWBZR
z-Kx(G7Pvkum?sXz);dYFUM^ZM1;JuXKTYenU|KB=KGJ$tu*?JKR~yxp>MWyiUaE0C
zHbxHydqckZ$ryRgEBXOT>Be9NYY;+N5JK5!&=YIMP=Xm#8*M4;y;24b%QPl^7Noz2
zUA5$^!!Y;){Yh^h)P7A;-1=xRLv8-GQA!7e7-!BYQz1t4WvRx_WhFW=gohLz;+;sN
z@VZ$V4QNEa2NP=QUoas+^P|B6vaF&(4T6kH-9Lme_SD>Isu2Z6#?GWbb%BxIQlR=9
zC$7&lMxF{%pP*}*gs|`w3t=_fsOxZw85y9m;^v3I(->(N&@V>X1?UkWZN~h*O0DAl
z9<Ox<uRsGrR^!kOn~kJ}7pn)j>du8uhqnr#yE(+%f3u1<-ds3YJ%a{Lph%qlJB`)J
znAH(ttXMQs?f2G&yal;7tg1sKG{EB@I=mG^u&Rzpodtt$VUPlY5NW}d?j6d|szbZU
z)G?twK&uXAsLqf&k*RekM<l9)Ww-b5d)m+#ytZO60IwAx3|{(nEa`wjQCn&L7`;Y9
zxd)BDX)AMVrb!d@x+4VWm1~T;VWPe`lo9OH8#e1vp~kWscj_ytq_mG`3V6{z0BDCA
z3UTIzvMF7MfmztLDpZ_i1!@rEfKZIH4FoaHW1+m219@lG>!(A-wnm0>eDk2O>FP3S
zPtLL;RGbBmgl$v`7rg^~X~xKsFnt@O1Kt)sxKV#&Df~(lg4pmD6h>NMw612$s>8&p
z!@6tMDvS{hgb=PUj1W#06O%b8P8aEX;i?H^lp7f;D2L{Ra?nQ|{>thw9zR}w89kmz
zKrA=@jx;qMl8VidAE+Q|+;K+^^I$k%b{`HREY*sZm3m<qdA?d`%x-R`2ROdEhh%Vo
zh5|xL5JLNTctW&?=|Fg;Zf1c9WAt^<PZ3s2sO|RZb(S&c<skh^7(1uu@2mA^81(im
zfS-4YK9#{9_f64aqgH<$#v9K;G-FrR?_+A=`>%v`)6<|*jgA|NjD0JEby7G~EKwyW
zDD9Q(DGcZ4N#S;LE4G3ic|9K{XnX#caIfc&rC;p%W5dPs3(Pd7nvLd#X~tz~DZw+)
zfIQzUU#V_0X3Y;a($-AGR5mZ{=kV6S^_PT;>;G%bT+C+IqDp;txYzB~oyJ{@8WDk^
zIOGw?V~;mal<Q1m@M7m_M}<ei&5;$ljBB<9nD<xc3Kh<tsqYLoE?D0L$R$CCyn^V|
zp-yy@<c;GF84(ChPFa#D9Mgw<k}T9f;NN(w(;QT#<AWXDfJ5b={7+yM<6tnVlsXGI
zVjOn&c4d~GHY<!8H()M+8Z*KLHJZX1HEy7}XVkbHnmuT==l){H5}I&94Ntf+c~_p1
zyXj)p1dT;z=}NWSS_4NQVB$&#!Gv0b%3^~|Z@$Be6zX0SR_av_bJsH}&PZR@q}$QY
zXH_Egoj0M!9PF;oJIuy6RF!gY4D^VD_aN{!Kc`}qLx5tHgMb1XLisJ_dL{Va6?Zzk
zAb}$R>G}o*yJOWiP?jnIP*@*E2#3+UT2zMgVU_WHx~mNA!vFz708!e90iv9E1R#oq
zsb3#+(>uzIE^!!y<^&K>N&xYVbQH=zT0V)MY<##3f{M)Ju__pq?RVtjFAd^rdk|{d
zs|Z5T$XM~0VBOk>ffdBYx%D!N4fZJ3N{1fu8^t{`3J@B_P8r2ZzEQj=OmF&+0?la@
zP)DO^?IY8T$BWy~r$>7j$L(QIV}d#20Y)u?Tv-h|MaD+R{ty+x@eK&YHy{+>6h_$b
z4N3^-KuAU(JRwB7)7ZD7K;Q0QFqw}zB#fJj)w52K#`g6%y!DM>QyU*)qujg*LOHzv
zQV?6uMHhM_NR05VF(F(_1e?{Y2o7zgN017FZW4&oAS-FmPf!Ql`f(B6_Vft-vM}rv
zhR3}OYA(7;v5mSCt64;cM-6YW0q*MvFTfq6Ukq@^A_U-WdsZpkJCYBPI?{OkxleQ~
zJ@FaRp(6$FfN3$2jA`awwQ7bgjO1fvt}*#32|O|*=_naz9=}wl>!DIRuv;y{l976x
zlwaJv+_huAzDCMtb}uLF@Yl}R5g*Cep(6!5e#eR;;)q8#1v@s<FElFImE(w^&I@*&
ziU4*j)>|VHTfC+>M{+#zY$VTbC$#5v=yxOKoV4F){A--vAIYJ_F%X0j-#{zUC0}s|
zDP8h&q-^RNBRQNnf(l8OfDfjNn6A7%6GF_zk!lbLqln^dw8H84P>|jW&4?%#MO~}P
zjIQ=#qbxs27e%p=f^2%V7EfaB5BE(|XQNFe)t~B16>OyWQEcdt1VcAIX)j?JQ(1<Z
zYIHo&tnonGc^hk>d<zQ5%t6S^r`Qt8<8Cx=d{QKAmR@X*GJpMx8m#e1Z8zF&Y3qLt
z11Zp*k>V0hMcOW*K4M*jy$7S%Ay$+w(kG*gh_V!<PP*C!_kM&l9ASF(^-iL>>k3Rn
z^Y$1@IjR4mp=|tLMX~c8#9WZ`v8D!9Zn&PV)FpjcLG1n!YKXD_>2fvD82lpVRZwNO
zw|0K4xOeA=DcFv2bziSzOs8M$7}L=!ius)fGL>2iRX8`*I(1uLvn)`pFpeKgLdfqh
zs^2{y8vxZJ><@1PyOnD(j1$kt7>C}Si8H_JX%70;gXmhJ-rSeGK)qxazevSuvyqOB
z8KNDl@q6CJ<O1CV_mzynJ$=aqu&ldwCh3KJ*#YjM?(^mu6pdeKGW&xHhe5p(2Uy&f
zL+<xJn2epR@m1bD1C411x9HGl-Ze8&D!XP{w7qNgM`5L^Gs<?y>AGn4h|wSjbH|`Y
z7IRcIEvA}mH14U=LD9Tzj)>+6uFm*mPb?S(#vy=q%{s%iw_I0)3pnkDF2thPonOW7
z9L){@LMRPF*83Ru3)YL-R(sQE&cVLYW+y*-uWO4sz#`re5g>a%U93Uq_&@b<raEei
zd56Wk!(!gF#Zbbq3`0YhnHDY9lY)MD6NV`<3>AqnY;(<@f2C_;j7z`B*L5+B3{^(Q
zJJBYLJXa5m5v#^joPA^xjJ4yPGF=?QslNhhW<<K<bz)36B@KGE$e$5obbWcFZj;uF
z?bb7Vt;L`f4jy|M=+$D_L837!zLy+hABpjr^rQ5PP5M!E2_|hgzdEIN$1v3Ij4{T4
zeOMo$CxQB%Xl|MCKVl?&U3;uaAB|z8|D5`A&uuC}ccH7WVr8iJD=9f-7n_r_)U^nx
zP_AQRVH9%8MSC)2fANgv@1h2A;LaGq^5<gMl;5Rpvnih)i(hDzb|TmD59*zm@(VF+
z%JWaGR_8&P)7*EB?rRMCcCBuRWmBF^rS{HzX)M7zPB>B+r>~FYm<EIni>p9j&-b8O
z?D=l$dY!&MR+jPXShnapV|m906GbN1$BIdVGQd+YP;w4fVbs^4HclN@@7pR5#Ij|B
zq@A3s55x+zZ#dZ>2YDL7{Rt|LiWiiq8moFDLiKJ{4BX%+HT%43=p3eJVE{;UKqf)t
z_*mO$RfQ4td8ICmvw`^hI0oVohU${B4v*upUJ~aWs{nD-X9C1S(NKVRP#n8PX<Rog
z4Qd%HxKR`={-aTuHp41mxY5U8Au-lyiTivcL{wLCQfC}iHQCdEg|<v@9Q||-?_+i}
z>#L2H%0#^{&Mdk{7pQ-NBj0SjMyG`>?|sdcSIxO*+N$N*cUQ%k1GI{C%xNn0{6oaO
z9cL6*xgD0M2q<_1<7~){P4#pudzBhf6312GG+wQW>)sxn{7;qBY;Dma%?Vl!$v%w6
zp3m@y)ciu6&fyzR@44~U>KbDTHv4Z5_Yr688xJ<lDMiyScE;#<%NY*@cfJ{*a+EHL
zXP3;2@5Bz%OX+^}EKZpRHfv_;<0bxD(OX@o8{^3<_4)C(n>ECD3&5sH^_70rORrWV
zb*t1Y>|VpM*}YP+s(S@{v~HK0ZFY@nFgkw0Ya`@@{QJjV-5>4X)p_ya)tT|^)%|Jw
z?A0I9um17otT0vKsHgFXTW80!TVEd*WquKco*s_p%+R!hH=8>HRT3TWK8c5aH>r5W
z;vdj0gl*9Y65>bTl@(GzAn<BcXmov_sEZRg1kVS7N7p2Xm46h^9-W=Q9t{Ta=!gXI
zXi)ZODu%0tCm78g1@t;BF2fucrP}mNOP@#dfp||wa0gO)izvNGl-})Ay6d4_2%_|M
zYXVM11Mx8U;UxT}<n}|-d^^-W>{jt|s6#tC4nYTX(PMQHj|dQz$7nm5Y9Kt+2hkNr
zktBUkNkJm9p!-v;?lT_gQ&!i1O&~N<zZ%Yym*a2S$#FV1(H4P{sGn=OJk{J+f*3HD
zD&s;{N1lN<68L9y#K(y?NTPregtVRXP8PvZZ%hmhH9x>q3iP)y0`FEjj-<Kum_!?v
z<|Gm<>A8u#S}h=0t+qt(YB471S&1A{Ty5<8qg*#7G8~Ob6gXn>4f-)iF0I54)b(YJ
zIl+lp{5=eBKSnrJiQ2(@&kNt9!l%AP=Qt${!}5lQFhe^${4&w&zDMa7yYEr-3wvp2
zO}dK5$;sRmg+vquh<_xS%U$YM6(vQK4E_ULmiI;`*;}g0r4|wxW|}7=m7Ji`l6YSo
z=&S74y;649F}~VScCAV?RT89-L;9;^hm1~QheZGA4U_&kksUHR$?K3e(XZ$vvnfZF
zIwJ94IpnX2<dEjx9JN*5MtUV^G&kp}P5R~}-fA~exrB}DlX#zfmP#u1c8mt@2tu3e
zKR~d_{*&r>=TZBl_jH!}I7wFerX)T~y-784m;yH${`MsHO|{)z6sZP-l&2}l@jppz
z3sk$gB2IlqTVM(*C~py!%o{EUHe4*p@dW6l{kD+XZ~_F4c*B+IOI3frDoF?=vtjp1
zrhOf1FwF((Z={r8`Kt9)!mk(fnk3uA)okeqr6y-2+h%@yGVi{3nER8}aD6Le!pzNN
z@8HGEmnO5Bw~>T$y*Qced`7a^IqPUpyM5w!v3T={TTNE)3eP`;XP5A(HQYtY4ctug
zR;jV9wt@eV>^1OH^otGr6naDkuB%n3QVC{ru4UjcDdw;mbrj~yMP%SHDYk*<r1;VU
zm`XGe3$HWVGV#W}D#f=wsnNdbMsGD6|8!qPlU;!ffx5|8(P~#vSn1ybw)gxLJ|7{f
ztWt>qo`@8-_k46!HlPmrm7iiheWuEH<j@FY1Byyvdynm})~Qa?S8k4~QTNiu^Hd63
z`<qlMDd*Qy=#XU29H=f+N2HkS?l5jt!0bWD>`#Fpdw}_)?7{EUak*^~mddNHI!srg
z%2hv8jhH+*$>i};imzLM{&%n%s1DO$_ywN&M8wdGiI30;WVwc<$`&{P8F5^>0HN~}
z2xYm(rV_GqHXkK~)*yt|{qTff6*6%A*NZF}cuPn!=B3K<ACJ`bI=d|${|`zJDE0q(
zidg0=m}D=&KSdhdx+B%L{C83r;P>-9=(j*%`Tw@(ps@m`{(35J$9qyaCH7J(?;agy
zlv@>OmfoO)oh&%eNrKH6KSS>G>tU*o`LAKBNaM6YuL<Lv>@k5(yI<CU=_zXlM?{*J
zrl}w}J!W)p+z_YN1BTKs_JE;I@qic4Q!z?UaB_4u)@epwpuW~u)1w4uW5Hp;yT>Wk
zKX!zgtJ|C$oGo%<oN@-5=QJxuVkccAHLLw<e0j4Dss3B{Y7Wj`lZxGb6_h#qL@GY?
zt02Gd?;HEY3^YPuhJo-tFv`h(F@uK9fte!>zh*ei(u-7q!$V^ezZmUgzqsQfn0mC?
z(I0-{9Ie*tNW2|Gx;>AI#3{1V*eM>pSdCFbrI?&zU>Z9G2sy=g5bOmLsa{SYm!z>l
zOidFgbfj^7Had+B0$k(}1JlGIK=+=hD@i69=9yrH5!XQj0<?c!qOMmPe2UkKVh~ci
zT@*j<Q;ggtS>j9nirYmoxJdC@OEGBk1T`AZtk|>_Q~u&-pUxlBIJo-3+%!}*Ydnz?
zMx@(Lh!S!_5bFQ8wit54%5-t$vUGOBvUG7mJW|`@bnjRxzN*G(5MO1R$Ipg`WTg50
z?`l%!)=lZQ|1C>r|GNbOkdeL#1PPnF%@gOUD(y&<ji)u8r+Z;KyV1OKcB7_raU&Mr
zpm&Jm=UK9O@s(<f-Y4zflJ?L0+FQpx7>PHsf*si#&(G;zxBG>DvD^KUE^aq<s&XnF
z?IO1ej&O;OnY(KBZD#va`0W(D<<}WhEpF&-f*iHWC2knyQP-P08r5W7=JM@3=K2ez
zgik_KUF@Y-xNI*ibFs56k%|R=736HDR2Y60<ZS*uU}wuhBP8h}%*j{LCKT#oXUoE9
z#MyS!uPm2&a;7SBxM+~#Y~e1me3n|M-*D0C$2>GkZP2f}$kFs6bPwzLA$mbOPqVsL
z|KbvZ`4Lsvc0kC``)06*#h8ubEDwv!U_*Cih==WVv4@3c@REaz4E;x!co=BzweX`K
zsq1q3{|<wJmmP-|cv<=!^%S;n2(Q$Q8LSw@dkWGsMEfkC_NztvJb&#|Gx#h7LT`vx
zX7GD1gSq5I*ImMPUk1Mk-|dn!5!%z42pXx=jTzEu(97qk7J8<4MCNz%)KImHgjp}c
z(VpCn*x*VR;7JBV-us1&<<kuIIuP1EK`8zB8_VGB6D1@9ghU*&MUdyZGG!rBGg(Gz
zCVQ?*H5+e|ZCfX0dR3D59>Yo@)%c-H{Obdlhj;rNo5{;OI@5OFmP~fvIgkMNZ3Y2o
zEy<J+Vz;^T3T&S<GI=ehWwQHTmC52q<9I<yAr{}Dw~6G3QF;TmsTZW}v(lDIt+v*V
z`6?MeCEhlJq)I;Hi%hTE9-&|CwnxwriWf7M;%%fpBa7YkH&oNsNbkuvnzc9MJRd<d
z;<4UZcx<06^4JYJJBz*1m1TQlYL@Jo{iUYPug34%;%G>=uPu7-3pV<--}GN~hn~Tb
zLZ)SPd$Fw-^u#<Zi!U4ADs|Q^n`!2W8?CciY8Kx%+$;h&_z7(9N#F(%_@bY{4SoWx
zH}K}ub5*2q+1l)o1AbyZ?@8=|EWWw(ouAkPwpc71cbN``{&UV46@@7RM#02yB8>Ve
zlQAj^Y6YWQ+4vQeWnQpC6+8N%*utovGdUo5e1#gNbF(>1^Z2Hl&FM>3-(W$ptZYWC
zGqcH*Rh_9?Rk|@duYxWlsxfB!0zk(oR06X=2(xB^AXIM7W*eUY0vlhDEqLY1X1tn~
z%{C4Wa{W=+;`(@`TRT(=w;Y*mP9B0o8iWI?)IDmkdP4L)Ci*}~-y5RuP0{z7=zGs!
z-)_+d4$}9Sr4RJ}d)0V6v%*LH6h6K~y`&vE0tO*DJVFoxN4`Lqox>Lhb8~o@nIITu
zd5(9Oa)B@{hsOy%(i@T^;{<(dsJ=vnm|b@v$1y2BLHEw-K3Kj+*ktLRBDz6r-L0fM
z2{$<iMHY+d<)^8hFRH;ts;5}0LHQQp6rbwJwrV<oyliRRk;Cu@LJ$f<!OsWiigf}(
z2_RJM@X2}JmP4>O466cItji`WqD8b(F+7)1F(j8`|3zEWUY(n34%>>@CqI`*lnsK(
zbm!WW>3$Hf<I3g9OwDCrOv)t%n8Ooy!j<V=do?L((33<yZl%#}?IjfsGw~r6Y3^Hr
z1XB1zc&*bc0%nSUiGBhAm}dKMT&W<F;Je$12;o$N<JRVS0dpPwV!&L79ui<4dsvN7
z`l(z3Ox>Q_IsZ|Ggwo6OEHK#)7VCWRQmzCx?{8D<^ar`-rXV0Q4Oq?>`*SJE@m=IT
z0U>`v#AAN#=RKx|VIHE^VSh?r7atOs*9{esI-`oyFCPZxnUfw@6m&|hb>j!c^znj5
zF9>JV0H4%)KdI;SD78M1z*dd(7h3NVdgN<0Q?>Yn&hiu5)}zo_d3-hLE`Oo3Y@vws
z_;$B?$R~G;pWN*|%H1Mzcl*oTB68J!G7F@JcJ^`jFCOFV9xMRxw%u%7O?dlgF5~SU
zG7LU|eGC1bJ-O!O?W)}I5-q-<>ECi0Z(rH2HmZ}X*i2ukVobABJ)nQcW2klHvwwu<
zQ*g-lzVq@0g|bisoCP7=8w3KJ9g<HzgO%E~Rn_bB^2KMq&EpJQJ(Ws20$c<HS^0uN
zcqFW)Qru^7Q9HRJ>4XyCZEJr$Ro`eSULuM?Nbx#Re4i*@BZ~j(r`X)NRq=}_4IWav
z#8L}-{6#f@i=lVnpY$^9er)MID0)F`==(9BVfUmc|6Y{q0`I69cGYnzmSKaJ^dGeJ
zgA(-OnaBP9Y5HBAvtCvK0odoF9wTqckJnWNJn0~=WyziYenrhuy0PG%y+{|1l2&x@
zc|-w2)<j=N)G(c=hZmS50(2ZGLgN%OJyd7uIR)n9ud75g*T>x=+-*MYwqCdp4{leq
zjwQOQm#)!kMD02sqbZDAeT-hUUdE1aU8P?@=W$Tq;bVMG7+<#;d0U2}k#8whI5|iU
z)LqPHUibtufHcZO!gcIVT$_S*f(&wi4lJbjUk4S^+Yl9CPTpaq%A)Wp2iN_-&ExPt
zVR!+-R8!n?U6j6R>8iF>i&h~&hc5I9)zvz`kY`C37P5K6l`Ju;%Ita;r(KBYagxq2
zq_xo_gm1Wy?-HA@$2n>)WOr&2zF9uLMP5FdqW|4%p6Jyg#1tWhPspb3LTEuTV==)z
z-ZRc<F}}I7Tt6f8_MFUHr_HPP_|03gJ#W1xrZ4o)Tpo+!^Vdfr=a9(xw@=PdKRIf+
z+59A&WaJ~MWaH!{RRw|#L@&@w>6wpU_)eluW8b%5O`+nF57ZiJ(3Yh8>ol(8qg7Qw
zXVXD7MN!?`|3-G)&2=H=MF7EM4@yUVsIsD~u=uheUeM&c0QY7qip&A2x>o<?wB~$J
zqy8ZxtbqC9tOtamNX1hmsCZQoM=Br`sen+V((3CGO6ah6Rgt;rT2+p7Fk~pFx$+^v
zJHB^N$$|m&6&EgJKZGzODBl;YJV}Dw8n>7zQ#rUxeW2eiGE+WPIeH&NA^v(31kuXD
zA{&EnVPLF&t%#$Q-9;R&>?-1LsJ%#zW~`wB0m-hn05fGT$Ln6jtN^LdbC9X0Vsp?G
z6{BNup&W5kuVQ8d2lboY0sLS#-jBiHf*@XFU>mZ|b%Tq&VagEt#bL^jVhK}re4$1w
zHJ+q9jY<DZ4IhIhvI@)B8~X<?GglPqFmv`16=t6N67L~A()6x{sSaOL&$MDYf{8Kj
zI-<@p9sj`@y;TN-2t+R|w&R)Wi~ZsmbuYI%Jser($G`ziyDctc8@lQHnBv7AC2T8}
zfaXoB)(U7)%mEF$!Li5ZKB--PQorj_YF9Cz%2WvlVV2A;pG-cCCY8{EHzcm4TQ7B<
zu=s!S5m&;8(P}?&aV6d^dLtS0r}wZx6v_?vlR2>`nZrxCi&y)}9PX1zSuOv?;|OLt
zW*jNxF~yQXzOa}hnCWCQ9Ko!CX3z9ubKrN%?U+V(A`#3*#T>yr_#Fb4jU}AfTJXKv
zs@Ior@bXj%yGsYA1eq;LAM1BY#83C43egJ)1rbL;5WO5NVITS&1U~d#iTKc(65fuw
zO4x<KLFlx%M9>M8^Tt#RP<Rcj0EIn}ZiOwX!0h@2uQKT-W=<(91tFzFK(G&<MfH-f
z9#m@LQb4^b^;3LiDJupSDb6V+#hGZsp$nBlZ)T}audDN>-_*nawbZA$O%#J5Z20>q
z{gcx7m2%Xu(WiYKWMJ42+uBXun#@v(8q88()Uc~mqK21!+&hH(Egv^;h~VbUAC#kp
z&qeJKW;7=?=u#z&Cwz=vwO&Tv%tFd|iNeZwiGo1T*Vr<@nSv6I7(h8<C@wP_-$ZaD
zJcYtj_a`2X7kGFBbYmIE3!}>T_QVKbnTX4@h!xh9NUUI%_7p2XDaQ(P$|P2pD_UDb
zM4PQu0tK}84o{+~G7c2h36m*ITYXGD&dCcrC+5q?t%&G3VSC+X;~?RGc9-Y1OXl^k
zC_W?-j`>N@=&UzFAYl?A1eQx=Rc=LAyM95$A65SUF;n^FR#a6^Yf9G_NJLe+cTIbq
zsq@Pvq!Om#!gPs`smGaW#@${xc#AO25~f8q)BnRftriKUNH9dgCO-*1&(kw9PtVCb
zbqeDizj;cwm+15;%CgFjM8+YJ@o$lF)K3PKa{?PaPB78NFp<HOq9;6iqo>%A)gNAk
z>o)jjmLF4D+EL*PrqJ$SqTWjFC79wm4yM{lJAX*ht5kFwY~b{8X?+S_o|SWBZ*&C_
zh^`XMv{W75BM*mILr>%3@Q4NhR9oB))iO*zj5SpVeop}#@EgQFjI~y99;$+kX|Xvu
zP}l3_6}B<aH?(R#70X!+tTa(mDg?+u`7B1oI15guhH?f4m?Oe7V?s32Co>Xo{gK{e
z@2HSm6qHgfibuiIgbIrAKuFH>esU-m^%C|P#84e25_~;YVuyD~i7SVe2rR_S5!f@?
z`moM*n;UX;p30}{;X2#R*yncJLtC1wCuo<Owh2UDBtycrBsZ%Had%VIpeFgWOcX5~
z=QVd@oGFYGeT>#?H*Bol*KXK*?bmK=-QGBF9sQDY6#7T$sB;SSAf=un=^W<;x1$M}
z550QZU`{L67pRw|mO?vkEpqrTxqA%lK9K%XX!kBng_Wvu`-gTXxYg;Q-7!A~D_6BY
z1wF$zv>}0&-GV0Ms!;LgTveqvS0%OHTver&t8z<dH-MN$YQ3M-^Lmt8U&(2uaaN@z
zwB9F_6JRYqp|kviw)H4<RwXCE?(!Ep%NFX5@Q|yrJG;eC?)Dz#ZjsLJ_LsZGCzql;
z|8<l+6(%21Ub|bOyhq)Vry`4yJQZ|%_PEXaYIKp~C9)DLPvzz)@An$L8hI*owaDC2
ztC6Crq$m%!H99i1+!YJ0vLijZKac@T%Bo_Z0O2$h2x6`wR3|alfGYN;^Qy#~zOCe7
zufB?7E^rY>WK{`9fO4=$#egRlSm^`^4c=hyMp3#%l!9=IN|fH`Q@Tc!{?$*Z**8~P
zX(~~>#8L|?X(~~>&`&L)qWW0W9u&18HYomBMHwng8x7b@ze1HN(XFe!1D2Nq$7RIe
zr4b*rRD()}N>sn!O|`4@=Cia*>$++|<f>|(Xb@7~_Z<DSZmgCKepEFFZ6iPsv`zGB
zmYhkom6odJ0CRSj&en6Pd6S<jj4i_0=40edemI^vBZVGNVrdOjW0PMeOr|hxwV8Nf
z!6QkfY6%fv5S|^v^PKR!{wE$uDNzRp=&ouCe9Yx;?KJt*>O;bHtXeWkmGVM)cs1|G
zm=BuJs%kMIqMXgBw)f*Y9aZDofUBxIw~WvwD!Qurf9$fE+}gX#LZIX@dT7oYY}IMa
zC5M4t!GbH$bFpB`VT`MhmAtrycQ_ErVSvyMH=D)q4u=xj;Xp{nC_IS_+TD_2d)VDV
ztE|*QmA$*^2S|cj-EShuOE)4{hna&f)-UN7Ys|ngIz#V-93(KF2f;0pH%xUVmh{_7
z^NTThgnqh){qd<9&R=xYu#)?0x+!VUKZ*SBee!8v)4{dO6IjbU-}`v1Ee$B*-O~Q%
z#!u_NZ78qxZfO<ti?_6j+D>d~NVyKLrI#z==b*;QSlq!Gix0=^5Oc;vJy?&U7V^5q
z*UEEAt?X$0t>f%kel<P4*51RKYJHbV^es|-Q}=3vzINOw73=&e=pIR@R6OZdL0IhH
z1IFSBXap=ir&h3dNG)UW1R5%1@n`gFLaph(TxU5hp>YZppH<6PeEa44F8!ZcK5?IS
zg}z50spS**saig9|AwC64t-Lc7*t#xLjwrGVFd`>w6c!Zy9@-NFrZH0=(AdO)1o?F
zZ*Y+F#MO!Ofbu1JDu(4ngB6w+S;rZ;IhL~KI<{UAvR)9f-rLaw>s=vA$a+CY#!OoV
zUAJhrWNZ@|+v?<^6dtMV!**M;bO(k3OaHA_jPPg7p!cf95z^+?pVje8Kl)Tr*Yh3S
zUS`*5Yu`Dep2yv%-aBr&F7=xX{A3*)?GK{kv$}3N8dN`$QmJd}Sv<W{96cK!t`43J
z*f@{s<aSL%J$JCS-ewkyk3C|Wt(ES48Xuk*Yuy!UI&l}rSf9`M+Idda8htABSNB&9
z5eLvXpYr2*O@W>p>*XUF<Qhh6{)#3&&F`BQ>(iOGdYIGa;2f@uO-UIMsgTGv6^S(L
zB1{E;MboWpJ{ZWgjK-jpV$Vr%dVa<q`b_3xg(^P*-i{(I_iLP~G_s2OT69@&>WS}D
zo=o32Hs{~0Ji+)x<Q8c6GP6kf-?I1~r-q?>u^{$&>OFsM^8)>1EO^08AFqdWM$OUB
zX#HJ%=bLl&-T?E{7M(C{;;KB)KdHw{(fZ03{;Fu&lom|c@}QZMXIv@2^E|JRu$Spi
zAbq={@n_ER5NdJlyxCV$duekk*WWUy$wei^&=lTuCJnVUTP2wj7wR<qOPslQp<cJ-
zCi)+q=)Z&V+)n>n3jMb+o+kPq5a@rA@cd4nY17xwo`v*bCw&C!c`gQj=qozzfaf>r
zcqa9SzQOVQOdlxF<$v6F#vi&C?HNT^JLw`QuAku#-BQCP5B&KpvjTq~r5BI%n$mM2
zCGaTS=XsQZJPHXtLkL*Tp+DPb<PX-HA1~71YZ&!E7wZG+Ds$5$?Yw(mw7#Mr;bH)q
bnZGU3B`IVaw1SiSVf?2pn|XGtzUcn|@VpQ*

diff --git a/dev/.doctrees/environment.pickle b/dev/.doctrees/environment.pickle
index 4b35e5d145ca5460ddc16818b38d7826d3036972..ee4556014d7108dd891763303f77602231029f84 100644
GIT binary patch
delta 52315
zcmbq+cU%=m_jh)8E|=b`pjc256u~Y^v!W=)-T@H>f`HxF&_s<QD!RlI6KndTMlon^
z>>5p?(O6?*@3BYGn8aA$b7pogd!M}T@BO@=_n$4_bLPyMGiT1s&YrvX(;cl&9&A-{
zxwTXiqTEbA%bZO1Ugf3knMJuxM~)nqJ31miw;(frlzO#oJt>G-g3@isV>1gz6pprm
z#^jEBGk1J>sb{s2!lLoHqjRTZBbZY-smb`lCZi_gj>sO@G=D-?UU{hlapo3`$evtY
z+7L4TVGWh?(t0q{%Ty09LZIR~3&D$8kksB(OKsTJUp>~QEo$uXgw;fC-NsKCUpO{5
zGk=^W1YR#yeAKkIHG{ci-jMQAk7|9!XOA17TQI6zz0|svy*amF-1yA=d^ILIUb>;q
zh^`^sRF_AGs&4Ik)nB9CrDN*t=!R-bysO{NT{@+@xARex@am*Gq+KoPnmV;zgMjPG
z8*k*@qr+o5+{eS*@?Pb6zo^^WwUUmjkJ>d1xN7BbWJaDVYE=7R>7ts}K3w&0@2Zxx
z50!pZE891d&Z;-tM@tvfIx*qWIkjhuU%+{*j9`-Cg$G{GX?1!`m~>SABBqgaLOmJN
zPCBEy#`+asM*az<?&%{6vkEdtXQz)ZOfSkDpHn`)JT&hH$$CJCn{;?Yhu`S%CmoK_
z;VB({ro(eOoT9@kI-I0~L@HdPD@Iq`24=eYg)j%aD$YAjmo5bI=DX9?6~a8}>LOkF
z(A6cn@~5j`=_-(}&eByay1GDDb?NFHUDc;6Zi<F<b(*k7baj-j8q?JYx@zi1muKj*
zIbB_@Y!+8nDJGRm%x7mh%=o9i9dB}p`SLm^en-tNG0*(Xo!?Q@OUyftc<?)Feu+7%
zqz1nu6O@?S?F#01)c6u}ll!&#9T}j+?8EBtJF-EE`TCtWes{H)-zuL^<+o&v5_1oW
zxFds<m=ipgavB+>#H<ul@;fq2iMg+HzhY9Gj8kI%;D;&vjto>{Zap<<Ceg@9CFZ}n
zcjR|us1kF>!Q$?;GL&wQ9PLm-tYongbJEX~_#IiT#N2b*=lqTw1XcS`+>w)%m?!TN
zcVtwo;_NxjNp4nRe)>D!shc`>Gn0iEmxrpGl6$HlX;DiP&CcWUGskC-jVOAnyfj&r
zIz_5YQff;*_*H&ado{ANuhdCB(X*A)@XT?!S?QyYdz^ZqbDZj%JWy@WFG{W5Eky0o
zxu?3c+fa3TmyW7WB4OTYe2-{6JF68*PHIM{RCQcZlsct{pE|rtl$z4hMcvcA#?nq1
zcsqa>p~_Yy`bb^W%uemiIfX@3le!_X<I+yC>VlLy>Y48SIb%gvN42<{m)f~E>hGhD
zN~7vr)rXzz2~wqGA7aC%sfSVbp1dU$U4x}qezhjqUG?f8rDh~~NvY~)lpWE{>^eL%
zKeHe!djvN_3^8JPW$cL2s6Z<<qHCH^OKsfU8HFdSOL}ydh9FyvI;3Z9r!wxVXxGw2
zUdP^42X#j3K)JM&^|mUdw^EjOOik<6M!lS7R#&IFsj~+}(Y1YgdTv4P`1Eu&I4wpE
zNOO_~@?w|M!m*D!pmg$flHQHu$9vV#B_HqQ;G>r&)ysG!pbjqXn~Gv)^^H}}_pd2s
zsZo7ftDE}FQork$jGYy=w4aN5sJENc2U)tQ0eI)tzmpo-H<grH+Rv;m?(c$)<d>EG
zJk_WD<79M?sJ=03v)<J0eWk&gOiwkdk2e~ZYH;skkLuC@By~G*b+-=iQtPEP3lcL@
zQ*jc?(%7tK>^9I#?bN%Ostoi-Q~j!@4@_0x8kVLm9+C!y%}n;{?IGRN<%4^v8wd7M
z8w~3O@hwaa>Z?KB)R-Z?)Lw%ItB!*b)hl?NI5-U!w?yK_q21JbgL}ct=6Dl5^h4;`
z(nK24;G&8<sZqm%)fdA;aek?v9_2s-i|`OA8m`n*r>9Sneo_BSZz5e$Gc&xLrMznx
zt&-lDFfQ->e*-rVsD%?0@%<zCB;>nHfcjO2Kh8&oGk#DP4G&XyX7*K=X4X?9v&^ue
zh3us!506(}vg*P5;c}4r6W+|pA?hG?&IrME@j7z-kQJ|P&8w$|jTo#ZjjFdSPzhA`
zkBC>33+jPuu#%*X$&Qz<s!d1MQ%`3PRD(u`z=0-8fcoahc-3QgJ@x3w>FVa}dTPO_
zDXM*bJ=G~^it3V!Ws{Zq>Q6cGYHJi8nLAcpj}jtt?IC%X5~lv08?SzpTTdO7H&~58
z!kN5<>StJb-kUSklB{}ac>YvXL8&W>ywnT%@#^x?_0+i0gH$uBzH{_aHT%tau<0Yk
zPn}ng#shrbV~Y5EK65hR6`#-i>59*1_34VwXU*t}&u4LT#b>b|bj4?}fpo<uv5|De
zC$VvK#V4_ubj2sJg>=Oyu@6kec*$q6&k5wS*cQ6tv)Dem;<MOMy5h6gdAj1W*loJv
zv)G?>#b+_u4zKuR?M7F8vJRpvKCv~TD~i8)t?+6>DH~sCpEZt8@YgCY7y3&O+(GeJ
z)=>7U3>-6)-+5MkId+G*f|+e(d*~X<Tr11QpA?vS;bZ&CX%jDM9PSe&&f!xzZ}I?{
zq<O;Pwvv72vni)EahIq0YJ^2GNN_7QYq$AFW&6s=SuWzXGUXjN?W$<bERDsz8?rdf
zJFV3gw-Rrk&3D)Mf=X+MD>bMzL|wSh6E=M!c~mZ5^rObVXoqC4_Wv-ba&g&x9YP%l
z0_Ta2?&_|Uo|UJTUJ|rr!%)4$<*r)Y8SYwPH+U=<)RYe!!bO$&R;DihT|kv7AJ*5j
znY;2GO`9*r+QVmC6j$hf3DxPaW{Fle8LRU5wVLfJFMNDmBUF5cgtMP!Xf<ytz?vsj
zxWU0h#j|q!7hh;>>FZ>|-POhG9V=7U-O*sKsDRxo$89((V6|utXNEwF;$As-<F6Wb
zsw>ttsp3touG&B2?TfD}1hsPamOl(qD-VCIwG*mlVn_e|jpAB)<s01<c5m^kJilER
z%=_xd&VRJ>Wc$j?yI&Zp<>g`McEtl8eu0*$zi*F5B}c1#^{rla@`u#z-#r!7Wvx+C
z%^!+1jY*Tr&kya^igIr&KCD$+S@M%2_^8y!pC8i-k?X0SAM=IFEty~CgA-bp!{v1v
zzS_mkU1(MF=fj$4a!@Sf2S2&kxxnu#s@(dQXdzL>POe;VW~;`!$`M&pU%08O&N`_h
zAA3~JIrqIr!tU{dDSH%8_5Dj8m2km;`&Q1mbU|a|J}~u)<{awoE%s{0P1nkq*Nzz&
z)TvioD<|F1AY!V_xT%jtlE4|VZ)-gS$5RnXx$jz;e)ktm3_+DC_pfQU+$WPB+|+Kl
zHIu4z*W&$>{P?y;rB+s^KGAQ9swQJ&v;NYhS1m_38Q?0pLZbtUQ)T{B-Ii33n)JY}
zGUJ)fE2O>9tLFWh`s$um7u~9<ue`VBN_uN_Bg1k@a<UZ4(oY(%-b`rnz2aaQ%_QAs
z)#`j;q9S(E5nJ)Du)-|aTi&$)-xP`bL2<H-cKmk{Brr?1v!snQ3l6DQLaYTlTlaV}
zrJ7Xb3VXWQnP6Bfv$rhql#XllYqsN5N0sgIuzcbz={{|34;8g6_LY9tN(l=*akG^A
zTQR-cVR2VvURcB0604NrL^}t|!k~W>j>Rz~)RK<=w^7^<EB2NJwf{{Rl4xgdnP2x`
z1WR#<-ZYvaEV&INJ-Ai(!Q$?APL|@(e-(yJ-BIfFFsYX|S~X{JfT9HEY<bmK`btxf
zg39MVMo9Xo##_K!9~jnwxx<=QvWKNcl(b)PTOKx({<1Zk!?Na*GxW%id@W%ur2~Ta
zb!%z55NN?Z(>jR4r{%47k`_%Y7(ld%%JOBL<gF?2@Q`e8IiDc;h<o+&G<%C<C&@U&
zS;D(W&YJjciBf=8a{2}=Ijy@iQM;#@Z*lG^ZP66Q&hxk2P1bwag7=d(RtmIWKTHa=
zOz$mi*Z65_Brpid`bZebA|wyXqQ2IlL-EftrN3ma$sj{oRt%K9#Jy$TV5y0?{Cb$A
z&(}1uSRym5Onrw-v$gV(e<10P5z<Oty|?9)k<xjg2?Zs~@*Jz;#d*?Tt&;os(q_SA
z!RB7pF4q)ESGA(#IUkOdvNV2lgNK3w)MiV-B&$<lAqVh3uee(pzGd|%8dDaxsnTy+
zAsPS{*XdTxXkNCvfb%l@K=H8DEtYm_DqyV9Rx30iI9e{hEj`y{&~yn;XQGS6UsN37
z{64g6$Q)^}My5e-c{Nx1Tf3(z!{Rny8Yh~-$HIyQx<>+$;qVuz`^+mCsTM4h^mU0X
z1&%I~#A?R!{bFnTxX)}{qWdJcR7xHs$Q9y0GduCw%koN<^pI;KG7wzWqw4<4q;CzX
z!_(!GH^h%I+gV)S*InO&Bldw{vQ&MjH;o1a?AW8J4)H4`7fbC``jF+lUb;s5K@*N<
z41zt^a5d=C0jvGwBdb=NvZgQdwBTY*?|2$F>prs`H)tkVa|A47nAI&WHt72CwI<ka
zmV7J$n<Q<S`1NMJ_bh0k30hBJ=UY~6m9(X;-Wpd+u|?A6vubSdHc4CeSa6_dRRe|-
zd&~M=dQ9OF0u7?OD4NP+*&t?y%eNJ?1sz522a0Bvz569?&0)cSt(W0$z3m67P$&t+
z3R`=dye<8Hl(c!07BZGDN334WBSq(<*4ZcWxO7XiI?b67{EK7<>jq;y+_3{qKj5VF
zwbq%q*3*Xuaaxd5pUP=sf&N2S4NJQ-dc~r_;pe1Bns{<{@Y}@#;n$8hfQDa?_GuI<
zZi%@h>FWkQ^5U;Z`ee@A+4-8JtvYD&1h<AVS4+wbt3P6(u(yQYl(hAcMY%0$>v+rM
zJJv}UFP$xi?pdcwr#~eJ%SXRkH9<N~B@gx34*Y)bBYgx~FmN5x%z;I<OF-1oQuUX$
z<$PFQc`8*2R^A17pGo>s1*4BWTzVzBTAseJYDS<1!9+<?-fJj-ARdMY-FjX&uJSA=
zWLfmBw`B*DwN(W0e%)v%>&rRr3xDlnK9=qFvbF@WprP+-HYa|V@GbUp-UFQX_B+cP
zGzt&S^Ic_qWzKtNio2|-&&TQ%Pgxt|fb$uy+4i%#aKRr1ZS|J5^?>C)U)fRfOj?p#
zw)tBN(W(O`9blf|-CXjt{8mH$POF`U2~lc^i1SB~Y+U7Aj?}Um1Lp&K%eS?y7T^PA
zYhBqIi>WU^3X!Ks(0;f)5%(;7;PVD@B2<i!J-%)zmq~Qx2^6C(>q2GpHoE7%wJA)-
zQNhW)Gb<WX^Z7k@#)=3T#{$3S=Ghb}V=&_Pd>UETOfHomsDWIlZ;=d!vQU{nD_g=_
z$`d5I_2kb*mhG)%oVUxG$u(d~d)e2rs*Q}ERecZ9`n?6|IPq1J=EutYWg&{kmuK-Z
zj!7Y!*3!p@$Yxmi5+9k)`^%n|1|4Obv^W`?;YJi6i+^YNi~uciR~grzM7JOv2W~ZM
z+r#Ket&^;p)aXgBMs#urIB=MGTk5CCIQ&Ez3Pt84%m;${qF02c$=fsvU(j*An!Jf&
z+^;wJ3zgx9f89sEqKT#H{GWb0)pB-#j3JN<=O#ZfNWNhZX+e=V7C4=rN-f_GqhZ4D
zd0;!0&wMQhGvx6S3>zsI(oWR~IG%&b)y^Vcz)Mdalz$u{mrJm^r$T*K18$8(mzkQZ
zgjjlylBY{_=>ZR#Ne-5~IWj&%(7okgo{XzDet9KdULY<3FGDPA3T2!#IceM&*-zv8
zaGd;(cG+|yS&fTLaYeCilWCCh`<0He1GJea`&dG!$SIoCvK+|)eC?SR_`jogTE3n}
z>T>qit&nnT0d{#!d*%$s#xO@%KL%U4bcXzm##7t|MN(<Yq?vMWO(X|@uxEaj=WomZ
z(Ks)ED!ao`dyEj5$1+^i%$ECU>_zQR&6Ia#T<r38Mb4M!Xe3g>f-2x}<|=U^D;#lV
zIJQt8q?ccadTv}MJ3`!2IRG{uL4TWECV#AzSr~)lA`3QSh7)T5Zl|yX<Ce<tTIoe?
zv5KF{Wn3)qDvD5=1*PHhKEJQ<mmMs7-<PLp{B#d^?+-IqV3mh=V{IiL>a|&7SIQoO
z(~_}T?-Y2r9EHAIE91ie7rG%1b#mK|Iz9Xp$L;FA&JM8Bf{M9(BI7hhJQi##?mTgJ
zybQLKeIf7CNW<32xc=uPG!`zfKgH2k*3a3?vT=jlS)*($z&c$vQGnx|?vt?2U#74i
zOYmlj&Kz90Lx6!_SIQ%_g4_Z#w$d;bJZL}*8c^>PQr?2f|E$rmo$k=noB2cR4%rD-
zSkNMEcUm0`mF48R7PJ+vcu1xN_R1@@>Ui;2hmh&GH~P`!{S;I<Q|IsG6~<;FQyoja
zgEBs5aQcHoa;ZkAUIgq#GfY2?{p0S(oGhD;$m=x~sY&D_8o6i|^A?WqpQCaIO+>Z3
za}gK(m<x<5lRYfWPsl5@8n2wR`oXbOw8F&GGCn4AE0GridNHrU4W_+za<mluYISlN
zi-2R%4989~6F6VNroKEY<FbsGrlD!McAlaYzrWHLrC+#6L6P6{+D=`jX@uWf#aYf@
zrMY2A4IW?2fE(k3AuAB$%a9xLG>I-ffOq}$7qaWuH|55Xub+73kUk>2U|jC_x6(&v
zjvt#l8B%ZII)U?ZQ{>cUu4at|_GZWdmiXJUiv*2t$<1Nb9eIJ^#qM(e;)Mr+tR^(Q
zjTXzgON>45$SvT5dpaYI42>~k4$j9H+M^qcy-$oq_vA46?021!501F|a&ybn2ShIZ
zU2X_pJk-g&=}8adNXx`3BF}p$*M?1xbTSV<J*(tKmido~{LUk}F<Ac4$=nmTy2r0G
zUo~~Phh^>);#>BITnG02sq@i@g&|MmFw644h^+pJVvhZ-ldHvCsl|K&Cjt-4XHSXo
zv%lp=@XJ3sW4b%a;q@g4V~pj~*XPfOvGO0e9-MiuGjb1}`b=(YS@(j-Tb|1yaPg&1
z*1NEYW%DZ{TVBcy;J4RucjvrU`1;_zs5hiH-grZu^=Yi=7MfD1-dcPkV(Wed%b+3c
z;rrKeFg%wOt^0Iqx<b`&%meDT##Q>yGI1Z5lyGomIwOyJYh<N`<qjkARYhq6L3TQs
z2NK@SvYX5g&M@rVDm!BQ%cL}bKzp50SIiZV(FvN?#nEut4xRLtz49^CdMM|?OS4i-
zN`y35rGwNN>bNM))GIT5M7ti&#CGkqR~kwkh%!)$g9Im~je4cnaoIiD4oV!9y)ZEg
zM?=_%K<Ql)618-eFGP+KuNI`)#NR=l6%T7~$n(I(S!srAHq;I|JZaAaZa6FLp{|><
zQeGJk30_hGG;vkxL4S9Ri9i2Cml77F&b{UV5gy7)X(jA+Qvil~>O8bv0WaK9c!ZZh
zQaewjE)4b7x%flOU-i&n0bYs^MEDq4y^*!QuMMm30({=7>4Vm)>t|&3Rf3?uzs|}R
z>o0uK>=6M%H$MerOM*IUL4vde)_N*kd22x^>8~`CHWS(m-1o?#bQJ}WK9UD-|C>?*
z8cW^0DnXjTO$`~>F^ZjUqZHB$H~Fswb#qY{ScSuxUfoE4i1IVz6c4#70hSz;Yr)+>
zC5*XsK>w^WF&t7e6+7t{=pLl(tQ~}4UM)J*rbAsigwUY@9YQ-mgPKYu?vf=mP})G%
zXZQqAh4rB>zl&;8N6NV2@R3r;U--$rJ8)%OKUPAdR4UX#?%9DlIuFX+@JVz^ZKa7k
z*2?6utd7!BD&&k(KCgrvNzUy638R&M;8j=YD!*6F4wZG4WNE1oyjT-lQBR4Lw;Gtb
zhA8pUS3>BfYM~oCz?f8}FN~;<{AUdO&+99lrPG4{qz!)p8GkXdu1erK(QQwDD|P3L
zyf37yknoXGp#Gd)Lk{YQ2FQ~FU~L#0Y;U0ADEoHg22d+9O|YYpQb%q_JpG|%m=Y?r
zsb-W~(sc*9Sx2E~bhy%59wvBy3|C^M!3N#|R$i{7FS22$c!AUk$IgId$~gX}RbEEL
zyFg>W{!pun%Viz8W616upm?bgWa}Gl{Dox=bbz7dp~+fS6*OzAY|04}VBWTl=p8%g
zu!|0R=&+9t`|*&S*BIH7q`W40O3sVG<NUm){20lPQFu&xBd;01X^zLC<rDH+5~$?0
z!c%D*dfQzO@*|ZXX#=&X18U4$xKOmPc?)?gzCMnTuXlufE#y4uilK2Axxrh*Oh=_H
z1UARsmOBwwfB337_VjB5>kDp&T;4b9S}1Mgx*BJ@mP(uy43FAk2*hl*7(4~goi+$w
zaBbv&w640?N@*mgX+_gpE0I#ND4N8J5+CoTi=q+dL?hfnm9hBlJ6fLKiTBdBaBT?B
z<%Q*UI*F09raq3GPotGu@)uS{PpH{WsV{vhs`*G%v$~V;oZ$B8Ift#h-tbj>rJZz8
z@P23I<tn{{Z0I>NiP%PjmUS~RdOPJr%SvZh`?k`bhm|+LqlfO%FNI><YI3|1BiH4O
z17LZ)(h;p@<wVorbq6`1vrueX0yd(v#(Zc3I%Nj~bDS-6703*ZPE;DoIlROm*w#^L
zDrFl=47V*Ybg~jEFVMtao~%Sj^9;;$Y?+IuD+%&OjrsR3N>^#Uf%yw7GY>?biAoFk
zgvPukQHhq0Rx`_ok$@qN+hb8TRQQp`>DFCoB0Z?)l<o<!w>5hNBq?FCcNenq09cu%
zM9LmrU`cCK%(aU;3ld~x<h^vbGmk-NM}GTKblNjRr`7L6F&Gmk<N;m4V~FTAxvwU!
z7uG=<R*kWPJ}F8Kc@k$D00&brAdT0!#_&pUzAZ{sa^(*+mgZ>+zNgSw$_*_2piwV0
z_%4laeJ>?K-mdXkg#HCxgu=bLaQ#!dKxQo^7S^THYB{%={3qfVpQdFfA@XCb=tH3^
zTq#7iztvZ%DSLO-xjbNKKXiK!SUV6$q${2H(nEIYDm*N`KWfz4z<;Gb`b-PKAN6nk
z`vb5C1{wGZ2P#ogf5G49-~7`DDM9jd1OMYeN<C?c;Ggtw{>Ot+|1}2woFVA-D+T`t
zHvGJ29|}X=*9?^$rL+R~B5b6d{vw|d!jfBS!Q!-#b<!$JItH7E<1BD`D2Bf)=}I42
zN#yq1I}EM-Mxt=AmtFsd8NkeQO=@(2p_xj>Fg@ruNW=giN{28yG^RrY9{&I0J-j(w
z=`05%g2#L4_b;(^7>=HaCZsjN2ze&2r<^QWP(K1&kfgOBF;RraiU9PJ-q}j9Jle|T
z0f)139Oh}PqZ0XO8j&cR<k(2`=rRLy!YHM-yij8<v1N|U!6i$jf%!lV#)1ls`AaJ^
z@4iIj!?i-^MB(S}FF-$^_h!6&Pn4fgCOS>Ntrh=Gw1GzsuYB|*M;KFtt3zb;gtC04
zkz|HhlhD-}L`}p%Ds`iU(FCc9fz7=DM?{!lYY11zW0dAI9|i+6G_o^!y38q`g;_p%
zFDcEbr=etSp%RV@8D2qGDp>@HMYt##ZQ%K_2*YTe;29;97|~6b@$?wvEwklygv_z%
z;0r~85^Di&ovz)ubvp4z^n*L&lrU+Jq5SCaICJh4MYoYYi=@j2GM_Lm2=ZAW`4>%<
z>bXMh&V8L5Fl7>s<=3LX3)=#Gs;F<^<<mu7*f$G}9ZV+?SM&<*zJ=CLH1N-zq9o$O
z5$EslZ~paDl}_@T2L5i-l<rcF;LrXyKc9^j8Tk2(v_SCBv*G8a+*WN$T9h^vx8xpl
z`<rmXYnmI5x{e#y;rZ?4OQHhjyJG8FI?v_HXS$1#RCE<b(uB7$BEGaTdcr?%qZOYC
zP5!oOB0Yi4?<mWp+HiFaIxLFxgtfDkE|_e;xeRSs0}|%piF4H=hm3~r=O{I#jt2hd
zxk?==p7YBwN!4?x+q*a$XBikP-c@=^8A9+-E?6FvB%JWvJgjrBfp^M$rHAy6;GJpZ
z<z|UV;{Nvp*Y0GcGuTLsHK%!-#L{PVEgZ0zI4J!nBtERIMcE&OmIs8Eu%?A<r^b&C
zknULdJYnNPrM7fa)O=mkd_~i8{UV%moqKTCM46rtycl^MAPvw)c61W%rt=4tA%9Z?
ze_0vwHx~SjZ20;5WYH4ESMFutf3*ac&MBN<?$P6a3iUi)uto>VuS=DMQn4QEC-%Tt
zF_{ii=rD~AGw`6rdinolZ6BI9lZwAXhq-i^PlB`+f3R5bhd0eB9G%@1CJt9>E_+XL
zlX7_@#Up1AY#2sWG!E~#1H2ohePm*7$$DW0_FLTO8uHh|2BE99eybEFsOVAcUF>~~
z{->>co-pZsC0IJi8FB8k_QjDN!o$Wb$0gEJ1OJ2Nxcl*^;D7vY{>LAnxInnNN*M@m
zeu%NzAEb}8r88y@&^3R^Mftor6})xQmt2x?!|smQoSmb4Nxex-R|s;#n3`HGM()|O
zx;?vA;k+@{%IE=YS7Tf)tmeiiYip&s82{-ZIDQTCyk{u1e+`cErG`R_Z3=Nsd-mi5
zraMvMpi>^MI4O}<`bo%{k*^v3$7(V14?X`U=i}L^xXyU^vC=eI_+DOB&o|!4{QrK0
zY$+Zg7k{DzNY_c9_Tb(|vO|4%8x9Z@3!^_({CEy<(rKOmoMh(Nze#>P^*2f8dA~_*
zdD3r^H_!M@vghf(_;^dXzDXvY=!*}o^w5kTrT8W>p5Kcg<@P2y@WfsODXTY0{N@5V
zX^n-a(_x|nrSc}Z@H}4Rp;3vlDT5aaQu;1Ry9`Y}Q#uw?wlO}L=l$RIZfLZUR>b>%
zd0;19i0%Kp#3O}>V`7imID-GTk%2mMXn9^0xP7h!6_a+Dxz3GM#<!TN?`W^7`i?f8
zs_$s`srrt#p{nmfZSJT|M58vA@!g2(yIsXLMB1RJCeltt^&M?lRNs*W=#DH>##g)5
zceL!SzN7VT^&KsQtM4ZEKqsbKGFurpSM?o5)apA5t<`rFW2^6IDA3(ynD~Wq5I2b8
z{-Yd{T7knlrB01D$+(|a-iVfVp?qzZoYx+q<h&T@v`%T^6~}Ml`H?nPlJgQ^!8)bA
z1MTcknQL%-oiYU@ZPI$BpHnU}me%W*+^2RZq&38?@;&SE;WZb2U$3O%DRzT07*8K;
zP^Q^&)>ugBW%h!mUn)6>zyGCDAn-(pnr`xix*L^oh%eiyWaH_@MrA0T25nMi2rk?;
z)=HaUYK78WjW5Lo@0W@hxrS6IZ{z85g;Ip4)XmCFJe}CAe1NC?uar?jLT5<ZYx0Mx
z&A81P_lx2HwJVj5Iw>*&--bDFQJO*pqFC-pr7{OkQ?@7xc-pyzx5;HIuE}y?z*eP)
zoSUq!-Q)#5&MRJUWGn7}=fb_M%3FBK{#qG@r=Py&Eop91vhWTpT<m#^k}T?M2D6Tu
zyrAB8+(sU{O>u^w_Tch6?;9o5nVYNO_?+zVnd6|&cEwLH?E6Luapbi6MLD@fiuoJG
z7eY}8R@8EvGE8u_A33&gG}JkbwNz|V1|iL9yOM{eiQAPSLW$-OeA?tgWItd#aF-$%
z;&v$Mcv`(fNyF2l9m)_qCGS)w3bi6MwGwtIVeo9H5-tSALfUnu7IfRiyRF~?Ubo+k
zN}b=Obi(qrcPpduv}iZC=JDNJoA5o{6UxQu<sMvy<wEzpxM7<M%l9fhw6@ZZwjf~-
zZtqRpi@&`rxM>GX_9<pT4H;LITL20Bapyf_pHjz#n<sSKTcby3j~@$<_G2mk@3B<+
zU3@c+rBL**`;<O-YWywl(&^vw2A=y?>4#v{ey&;Rex;uS7Zo<Ts2N=SR%rx<D2CFK
zJ&~>b0bX|D0nUB<fYJ-WcHi;SqVG6(=R00Y?Dxt5q`~)`b{Fr=qIXBa%I}pJpk!bu
z!Bk;nTK0o70#DC>;AR<dP#KPQKOE%xg&g8iix1%olw3G_NJ+v|{U4RyczR2me)^I3
zSny$f8iOZ$URB+3SrES;JNW8hB^=pZjwt;FrNQ_@IDSy639Ej@;jrp3Hjr{@Vbc-C
zEV{KmTs^9I!|@|ZD*?2E)f-UM-_0=bZ~JK^?feN#W&DJbdM-@<i4VX#KXJ`_9Ob%x
zc2r3hWy2x!q!I`Xjw$U#=S3A1jvWq{kKw4Rc?+HY-Oels+&eMmk`tXg9s>^7KUNHs
ztH-!mx*u2agt%_tk$_93fhVz#Gp;D^U^=113sMJg->w9}6{?Pt7N1bsqJoD`DC6-I
zds3Mr7~8_)JJ=j#q*&Gdl+sy*wa~1>?2#kk>M2|W96Y7CBJtN#!fk%$9$xaZG6O+}
z(>&H-<ne*kr@4^lr<Em0!SK@v+Wv~Kd3?XZ8t(jp`|-ID`YR6&Wxp!R@h<EPZZ%<$
zJEOG66P)3mfAb6<hIP&=F$kug#ix~A`0Ok`Jm$i~vr2cNczt-Z-oYDspHo^PUUH5r
zb^9DX2IWHJd8M!5Y6vL-W?$I06=T$v^SH9ig>&cm5DdD&y#xp9WCU+rQ1Zm^4yP``
zfS#I$@2w_Z#Fs66@CHHY1su&+F5<RuE(Bdtx`_%}TBEWZthk9zRCF0F@zEuvnNH8F
zz>dJ*Cws!8V;JO+6u{F{ZMry`qDMn2Od(*`W$s21SCsKWN;BAb1A7w54x&3(9z<{X
zyf>=&>Ixszc2|}DSaR4^rMD;&NgZ2T6uEL$X)VwYi24nE7Cq1tI$l%i3bgfqHDcLy
ze6fbvrvW;dx8d(=y#IS#*XOf#!pR<x#OK%Xu?!vS1~;eWhB6ZGYW>C?V#;qye<7(E
zR|>^DfqauYWc!=EH)h;aMhccF5S0zYTn6`B+}b^EadYgt#r?m*Z6#l@MsTZO&M1T1
zx9|ny!P~rpAKX?_NR>N0M3mf7h6;9kO_+wE{*OA$6O#YHWaL_Rl^{Wigv~3>HDTyo
zd<~WhtL}1NyLDIhwMGzi5}!kQ+~bb<?mh02NAD?pMCm3_=M28<xP1>DWb*Hd3k)5C
z$r=~$^NyK$Um2mRD+M|Rg6Vf9Rxej{5g&W*-b4FgxlpWn?e9uIL2L?-?$`%Gzyo}%
zk_!VL@L6Ql13pmBKfqm|TyTD<w7^pWo<unF8<7o<>R{dJRcPTA4;4owe=fK#h?7T^
z(o6()zY)2kLAr}N53f=@1?Eo}m(ZjNeRXA(;;8HXC;@dpSf%S82?*dj>Sy@QIP4ME
z5r5=PYlE%)wCpjzNqWqO^aqdm;6M9VNfh!zq2dp0b-O>5wz@442mtjD&Uo?<-UES8
z@I5ciy-)ZIu>J|3b6z~r`#%~s|A|YP@;`Y;U-?rhK<1Rcc#W(6(#;+YQZ3A}YVZW>
zYx%d*0C|S|&HH)f-+WH0`dew?NWW#o#d>I7HbgvC+6kp_;%g}T!Q7|3EhnDxsNUiq
zWf;m(|4}mV^yD9|TiP>afFu11Qj<~nOlghOd(U`~iFvN{6SH0;Tu?k$x;o~T>j56_
zRTIZ?A}oHPI0yxz05@HHVap4p8%lfiLK!6Rrr^<4_J*-9m97GaCLkCtz2q&5dZn~<
zdaoYOufQd09k}`<t7{W)n!?(84nDBqmC{AHPB<>7VgoUUwYJ0@p#E!aryj4l#aF%-
zc6zP!wh<Bu@wraE?-eqPx$jw658*?#@+TC*tYGv)6jfKuCQUG3Co2aY)Ma%<1(PI3
z?!HE1v?_ZpF^cgWWY))#en6@jagEF<*j|uXjwAh=RD+Wh*4o4;MySfc?m6JZYQPSK
zH5R654N*=k0EU@RgM|#U02?qyL3{{fWAJoToZ?OF9l;+9nT$0C%u;lO*Cwt=7dw`w
z8=4EdV28;<2kaR2=?gnXE0BI>)>H5_5fx&_p)Z^<Gi^N>3X&N$K$NDoLH4XKo+|8_
zwid^TGY%Krll)Ql6bBZ8#2F53k}mOTsq6#pj;yl)&<{vhp(CTE;ciDpYsnN(OqIa|
z!5|pv#5yCe!HEqP{4GeOAjtR-Qw?g64LUkAZ9-}eCtO$~fmS%PC{ds}6s?v6g*rhl
zEDEJ1yRhkaI^x2n;wjOU(fqQ;mF4Oxq1pUlw=2#;x9!n9scx)}P8#Em&6@0w-LTG$
zH5F*IFjK)g9E@mZM+kIhZ3L+;b%8%rlXg3xK)kI1wZ3<<hj>>;>((Rgtcxgs+j{q%
zy`ixOqqX%I4_1h$s~);pit+B4r><!`QSo9A{B1#*7e1zq@nYIzPc-b?BV*pS7o+uS
zQ*X9F$ZrP;pE%cp>)uS8O*;u0dd{CWyye4^tjgbVt^@acSQ^TR@n!P`9u5h9*k@OK
zSqA~|P6+@ve;i<#?dJ%6{J3u{@niJ7@yL(+XO_QSXQZf8@V~<_QOF$&J@DtwQZs<j
z3_Cl3(bLJ*0N#KWH5jeo7t~-Q9qC8c+JJdpgK5)$Q`pqh#Rqx@vM%0y1V!5B)j_h1
z-I)={9HhEX=Nj_~w8^)#1}%E<jfIG7tRCzPWZH}s2gS2pLZE#R(`NgYFy@{d1iJ%K
z=J6m#Q<hYdtDRGm(L=$$nyg5yx*7{Tz$2K2LUt|I5UC4mF?yPPRg2|m!+q8>40<01
zpjAmlSQX3~3De?a*&5r0Q+p7+3T9yfje;w4U3{TaZAQ^^QEjFzF<QY13D^Ad>Y!fD
z>gYqD4Q#H1*?@EFuvEQxLZ*u!38j^1`??sM==bZIQ9r25w5cl=7O!xr3(xEF5z@OJ
z%h3Bf(p{+m5Q0iQtjB1f8yv!D?wBD?7ejcjMb>9|+71=pAj1tI`XxM`#8wpFAj3QQ
z0X&{)gA7mf%Xd7{1{t2{H}7~7n^OGO?s!N0V|b$9x#LM}NAdkJyrcawJc$jc2@@Pk
z<vj7b_C%=HfYm8Z#4es*Uh0yQIW9eW%!JJGxrGJV58tumJihfekMI1=;~RhT`M%#g
zzU?=U@A}Q>`&jdNljiXj&EpN4&)YMPH)kGi%{<<idAu$2cvI%Z@TSb?Et$s~GLN@o
z9&g5c-irCW5%YK(=1<6Ji{Es}89f~zni7{a#K^+Goihqz8?sR6{9bRofx9=TdET2a
z7O5Ua1e=;S26i-Ljf{*1u(mN~?<e=bu;Coayo|Ilf)*djY8v730-h1d>KWll@MS0)
zW~_1&RXH1i8nO09MtmvWnAKEoPpbhlzEnJ2@(fx|7qX8vVvWrj48xjYm<<YJZH+?S
zfy^)#?P4f8HyNbv825IBu@Gxn*GQbMD!SrWat~+ijLOX?<yOOxa28{fTPhUT9?n`B
z;l)<C9(_W<M(3sQs2MtcVPn?7SmZq_(%p!>FN8QZVR1(IL+IaxwKFzlmDZH6n%FA0
z7M?d@DaNv&K)(pvN<N1T5w^at4z5J7cw^hwQQMC~R8w1xzZCj$Unp*B>kAcvR@4Ul
zWP4NQZB(LC&>l8r{zmv~@QP#|jmS0_9?9Ank)70y0ra^7{sjUXyY7L9k+z-wEwqTT
zb>HtGH;T3MF}T5Z)V4oyB+P^2W-L&3-(s?ndQd3)Wov8*?!wivAs!aQP3@4_qZ#uv
zs(Mt=UUf&>f@aLeNIM~Dg<X+$u$k>}`I+3KgOU4Jh-+@!uyZiGIcsL*xd`7jXE8>n
zxRMN4X)!frhf>o<>Fbc(f<+n&--MDDtfQyFDmTe0A-&;p3l?tVydxA3Z)q#wzJRB-
zWc7{Q4+#!}LoHc^b%eP@<LLBn#UhNl{+SGGr=qTJwz3uQ6jrpdb<XE-ycKKZZ&39)
zsoJqOcHsE(S&)f4TI$NP&NeN6CDg+{^nthbC|)*13F>r09Emo8jtLkY*vFGLKgx|^
z$1I4vZ=;dJ*l0&<!9XMIVq3(OHY{!QaJQE8fmdyqow2Z&Mr+UbmZeQOUjuFEeFqy_
zfS_SS#_#d8Wxht4L4t;1*$hds%vD|Z(8XSFBwUHXZdxCWeG(VV?2YAc2}Jg4Lb_!9
zWd}3%E4B@(FBq_JZDYAm0asu-{uu`wMZ*PASJX|-cxEd!!dk1Zn*PGcrf`&?;V7(S
ztgwX@4s>f~(|xV2!s;3eL<_j6JqtF%F#<-#>lop9t9T#&xd$7SI$F#4&|a>szFiC@
zX`|O;Vs@5|e%%DaS23)ivBn+(=5Fj3Ya3Hj1WoVFAV0$h>6L;DQ#;)G&M6!LwWD!F
z;uj#CjFS7p=2#YGL<YcvSk}Ub42Bc&I4?G#A0xkNjZY%@We6K59VQs2$Jv@MlVmpp
z{3?W_QQQcq6VJlIJ)W72@F;?9f>R!6^ca_wYh$C)m?X*?8;cfE{Vk0Mz6*)Rs&Vt$
z!3a-;<OJ5#8j%)t!8t#@2%GiyI)}QjKY{rfC%?DQdU+4vUV`lmKTR0?NdlS^zZ2nM
zte{xX$~xH2mv0LgM~?e4{9?qv!^#|C!GMmezA-w^OM!heaU?=pDbU8t7QljzEHTi~
z)eA^jhdv@0mY3FtS)FnB0{6~sjJ${xu~}*?5vsZNMk_Szf=$}giJ6T}Di;jDc4E<1
z!wv0@zjtWbnKd^m`$38b<+y2YGZ(CcZ#uK?M$R=UP*IG{!urCDRecOY{|osH)Gn-p
zG3b9r?Tpmg37bwSwQUUZAE7OdWHWqo3f}?LPL<3y92*1&&cGqYx;Me<t}MgY{hO$!
zIB-w2U0Qub<%3`p?d0RPF&tnueg?y)hOMH81BtAOv4(F1?AeXQ8sQx<q#H{!BD-N*
zH`~R}KH(nT-C2j$hCV-l8tTKld_GQs<)x0|ORBx`C78{i`2iMoXZ4KD`+=G_9QJi*
zLB`5|6k6g0X9NEv;C4yO)5v{Xzy(RRG3gX6N@C58?s<x8n_zWMAJ|+V`Px|R7a_{K
z2MaLPa8|&$)U08IF9?`V8)ZFg=eNu7RS%Y8behXl`#jxgcAQh{+f;oGl6tbCM&n$g
z0*hf=Pi8Yu{06srvMxr(--vM;#3tLWA#TICWY*Wnc$*kk!r5foRn0wcNnyQ>jQ5D~
z6Bv`if{kP5K?+=rz)`m)g@qc~9}xR`_&vpT#(0E|&k~F_ctng}={Bgipfq*W=X`n&
ze3AlHkvJxgrn1_`djHl!P`@<h`|r5*OgLsrnr%RS3GX6e6!S(Z>`h~d#`X6bsaWkH
zQV7y|<JMifUd+o_L`j854RPKn>}4y;PQ!QhVo^qZ2Mxzi7G}hqQ$<{A+7I_g@be~t
zHtlvx6(JU19t9aod8Weg-nJ`k9~jdg^}%Tlvts+$KEn75T4o;>YLpU~3QfkKRX6rw
zK1RG2O7FvZ7(22Snd1pG>C0LhIqRgtn7*uo5em^7`g32~0Nk+JVD3=0PI3nqRdRH*
zi34G&klByL8O1e86^{%5+)!%Tm?ly)jeURHSkPRwwNroFWl<}FV~vvAroxw$Mv-$<
zakY`$9;+m0HV<H-#)psgWP{+okT8Hn8U@8^EnABGM!bWDpC7=Q81c>;j`Oe?A_v+o
zOA=x5Ko)HbCYX{r&~_1&43`G7rbeDL(P&%**(~n+2smdD3o$CtKNV6Eu;uja6<3=M
z7zAU|(TOtNM9m%yvR$_h6|~|^q~RA?+--tXh9IuaK;oN&ZNqSupsgItYFX!Kk96E_
zK0lcGS&=wGkjDjrhcFK-oKJA-5Zg#sC?v+t$J&+;u{GdWL33Mxw97+mePe>4p*R-^
z9m;&Hwe-xuT80j_l{8gw$CXfnuSr4GPa%7V{mM|=z&=Z``wp{h{cM5*A!V5DTIXHC
z-87q-U9-k!r)OIG0aj(AbRu{W!S)GnAr%X9${ttEUURt4j^7bC$f3BYR@dT1R9j)o
z1hrr|HZVQi_R(%R(Q4}kT9$=%5T7T$bF8kLs#q<AaC`rTx*6T_BSGWt6q;e{PM-=I
zdW?@#)QIZl1dqU~5Ve_S*ISvLA!r|SF;=os&|YR?EBrHUr~1u;b{YNIpMUZ<D>Ex6
z+gcgvzeTX1TifjVSOjdzwA}^SE@1Q^Gd$0<9c{a;lFSe@+;-``SJ2ReHoEUOh@1aJ
zsbMpwz8A!c!)=XvNWiP-pbE9KY&S2D2-@OYq~&GVPUgo1?W-)?t&@`iM)TQ(j?)6>
zLo9BD?Z7xAXpwWV7X0>&7aTue>pbTL!|oBby>Usvk4M<r^s0c-<6VvYdPBfNvzdoB
z6Y)>j-lix#8j7>6k7FFZC%Cz*{gQ2UHBNgVXxv2uM_R4PX^#Yr5AtCnt%`Bl6G7vh
z-S;C$FYk2x4}iiV-F-OE--3tRqU4$4ulFD)J`=>6qnMl41pe*aSE30qqgX>NEOS`G
zC_aj{)K(!HgpCd9N2`#`JT&yo7mAy^^`V@zur#p{8JUOAzMO7-Amwzkk)E2vJdIU4
z8i`ogL!StFQ5TKMC#u6aRwv*@cUbZ!P8Gp#VzqHE6;C}n9)m~uID)xByZmT1C@<qH
z%AkAdvloX0VBfnKB5(Z{caVS^<=F}e7DBkiN9S4N1ea7-&~V6@;mbVh1{kN+7qn~t
zB`#FJ*baRgg>#1s82w3qT;y;B!4aC9awJMHVu;aSI&ip!fVuAk<XguUr?nO|Zn||p
z*_MljS^3rh%DH0%H%^Ua=s5}xGiBzcyBX(*7aTZJ%z@TFn9!Eb{1eZe()gHZJleXB
z;4uC~j=FIAXsdhj&p;;$?v<mhy~N>UI5V1c*B+Y$LX7jtJNeTczUMVz%D}J!=A!u+
z=SoYXMV&vC6|jcdd~ynY8jlOC`31NMfUokc+fbapKe!dLUdDR*Q$6on>uCWe3NZ&@
zZ;@<oUA^#<gJ5?dOElI!G!0T(VBO(G)=hBEnE^}QV!<%Fh&9s&rhuuU&!M8oy1?Ub
zRvJ8vMJWs4LF+q@u?96x90`rbSUrLxxiE4JYiX35OLD)44gbZM4>!kH7xBDkAtAN-
zXN+u{HWnNwvieX_<>Ued<Ct4O_x^eq;swW24d3xVvH5Kb6vxK0K%*fhq`{DZ*aWw6
ztd0?%oJLE1KS-K{OCnu*pi%e9B>6aeFwVLv<rPkaC9_!VW!Q~IaWm3jO;;4xZoKtr
zigV8(A?K^rqfad9F3cHb!J4Vqa7vJ{ZTM{RhWZff>Ff$A6IifOwb>-~CKOMw?pbhI
z@50`hC~LPf^RksyLPqRtlu$wv9zn)L>joW{un^WxwC<~Lq>PX#{z)e5BMT>})dp;-
zJ<w`6N`9li7#pzIg|)P4?=o0919ePZiLcx-Yr?^3#N{ZmH};jqmHFFNwjzz5Q~jV}
zA@<hd$t=V;N>)%?+_W0$?_)N*;&bb&zRvoVD%Wc@bbpIAg>*M&JL*0nTz{v<IX|T_
zl4h*oQ>vkswT7mUxlWF>Y1S98sTiB3Cxh5DYke9F>%#nNihsq4NbS`*y<2j(J~nQ=
z5%x^6Ztrp}HpA;FEZNv+n@Ni(7&g_q@yQvtkO%2|R~)gx-Kngfv8aWLwuiK7wv5~1
z!)excyS(TwxIT^bF&5oLMY}@cbX&%~P&S=)(&htRbU$2~&W0F^?x&)?pyv!*#_!1m
zIva}~f(J8Ly0PdXDmoN~727f%Av5c*BzdjJ;8igjZY+9?isrzWnYN54X>jPf(Y)ws
zkY=%1W6{%8bR4A4vSmC&LtcOU=S9z_i6`azvskFnQO=Wq8CFLLhoaM%7>8fHa)!ny
zWe3|)c?ojfw$4jj>{a;mZ5D0R=qd@E4^_x$94R-_#I{hEcdYMpxPV(?V&ju925o&|
z%V~E7?ch7sRRxEChez+Q=EmNr5{&8dFz6@Ewyod~LBoZeS^Jv}-HrL*C;Uz7j>ea_
za10kV%Wlf9`Y7S#XQDJ;t2VsG-2N+XN1M4h>r27<bhdRfg~M<3g0#UH=9A{I7Mejg
zu4p(u9O%1D9JlKQQM2*QS=Ait{u##|G=5x6>HBINch>Ntxz^n+j=S}OgnX3qYY?vb
z@}9^}`g)O5J*!Lk0DZU0hU%kH7t@n@>bscZC^n0EQU6{bjYPrA-?eUZaXe5f#Fvv7
z-eon7g=%R;d`R(uvRAUZO?`E$+sr>cr7wKB+z_qkXY*LNQDj36|F{loY$GkKx~>Ms
z0!@0snE6((<gz0LYq*Qp?biQdOY2ttuNp1TH@Jg{eep=R<g7&L^>L2YT7B4XeeZ_j
z(Hf3cbc0v*Sb$Bb7|o2^Lzu5uL1C8lQGu6@uclhJ89AY&CbZWAtARP*rMj|4#iF-3
z-VN0+wI4a5Ad51M#OD5lybMGsqbHXdmq#p4Jqt%n$j|OvFn;V?<tqIoi=Mbg;hXWC
z=$vTY_B<1=3iA90P|6Q~W}@f2YHDpOwOIUb2|YVilV@1TJg+H_7P{5cIn`7?#%W<&
zP5m6>lU6bBHX5|m)W52!yvZ$UVuP$?k-$`{j2$<g|2!=bPL;9{{HEB`QdU!r8~}a`
zS+;9)Y!&`~Ew3Yen4l$;EM#?j;t<P;&igOY-i55b)Cq1bWbO4-sL(|$*q-c#+=-B~
z2p<YWN)+W4yqOHe75K;$xERObrbW!jlhX=_Mu&IHOB;Zs;;`Tx4;L|$6XzI19An`1
zBGya*;|UlK$5!E6qs3*oDk~SA#FL&TLGfaiDC(U;j8m}QFR)(Z41|@Djvg4wx!mbQ
zot_NGztXA0%9x|jY9`U>fLe7Xt$d-Zj75q1-yz~VP`FIgAE@o(bD?vIHa8je(pQ)x
zm#~^b9#46q1Imjhc~MZdgn0;grBtRAHY{OD0$5DIVglMgPmgMimlD1-85Vvfgkz(Y
zGAGg2_lWkM)>f=I5H2jm$26|g`$T&`8C<{A%e}eVR8zVJqX57D$(hSkW)_vNBIZ@_
zT4n9%zf}ALx|Yzjg!U4^Cj@)~L&{lC0enut=Wz8yw94^v<|a^{@3f9OkE1Su5t(8D
ziaz*~3ekc0{-bhM&z&cTaJ4IlSOJ;u;kF3}Dha4W<F3PYRK3UCytS_Unh112F|mMR
z@V)$d%pP99hZ~Q)=r-cm24et8Sh5COb~fATj<b`9JE=osL`8cD*pm!pABl?G!9R+*
z3rXJ+?OS-Y4Byaj(LC+xJIou~kIbp>V~ooHW+#{r67xZ-HdZhnCg5-~?AxI+dy8ND
zX$?6_<fGNHJlu0}>ylS<f=DMc&%$bI3V}Zp{Ilj0y!NX1@$-RSypLPDyxgzE@T=Aq
zoxwxU&JpdLHZY0iQ-J?4I5v~^OL^go#BdRMENAhe#1#TCA8OO*n*M?OPYJO|HvU1J
zUhFz?UDsOa`XRom(d6-DsGDNwBJS%U@_~3=cc{=E82SM&964~Gfcsiq#0{4}zyumj
zdq}j0n!6({Lcos+ew+*^zDD&B#y@uXkhu%mpG3p-C_dh~xP#7inwvf)+Ea2~EoAXj
zsOQPxv6hAT72=+Dc0u;oQEzF@ctz~5gf~U5!g%)13g#_(T%xyv66Al0j>btxkR%jf
zL}Hj;asZVhnlW&giD*s{Uc?KguEe|n-dIPXIT{OQj>rG)6kX&(L>EIrFZwyB-V^Rb
zb+0b!=D}ZNbFp4T^GbnPJXWp3&14Sy66~wNRjbjTXRKllqICg83xJf*@cGt#CHmRU
zReFyE5h*AIj;~^^1#>VV!7!r&O;NELzoZ$rn%N6dT_V+ms~=<D%AVECWY2#Mh%JHv
zAF~#)do^<sjG@Gc`(4-#@M<-47HBx3;RZG0*65NWh!jDR!(iGP<{}D25gG+)A0fJX
zjoz9TgtoAvcCMJ)#7)qe2(5*X=(V{2&CzH=qcy`+tU<#}U#p9XAsTLbt!1r5jqwD;
z3)wHMY#j;358P36qCe7`(}mD3#M@jH?nXd2So{%dFMu8d^r-f#WgqMQmO_*i2>zJ0
z5v-J=gpY3A>fDb?Ki21nzC`L<-Qliq<YVS2iVYyz0BUk;(b~ZT4Awk{+`ywSA74Xo
zOAI60FoPi9u@ef?v$DqFOA*eHNer0=1|QClYh@Tg3?sOCyoofDa*}w_QA8P4O~IcB
zYm_{q<Z((MmEn0zyv%5#(1A}Qbw0(P4eb3?Uq2KPu}Ikb*{8bA#}PUXJU-KHK9PWl
z<Wt%*gJ&zf1*M;{4#Gs!h+`T7QQ-JFzAWK&7ZX~X0z<S>?EtSn!-vKV9dygSO$=|7
zW$Sa2G3L!7+8o&UIqp<(Y4ZrcEF~O8f#CLqK7H|Iqy^xy6^GJ8T+J-os?RWssK6qa
z@daifaS2NZSds!UG#w#tJ)wL#!R1i%KP*K6Kmb70*P2L(+=AnoUU2Kd`UB$l0FHg7
zb4=TUiD$f$l|)*Z0z=D1B|(t94qu9K+8Uy*!3`DGMF1ZY@G<OJhv_?<gQpyQrg_Kt
zbvW%r@bRw)t^ZJg{}|}r5%?#+_)wxb!Um$_M<^@s=M=>oSPgv{z!Qw<z*kvIHsOqc
z<Uqqx>nkex6<I3?W^BL%uEIpZk+bl=t;DdE`j|5`5H0wI&~ISV2G&~uI|$eTE?=@f
z0@zK!ZW^GmV#T+Q06L&9$xyA!?_c6O32p^SHp)AY0@L=OiWwUj(-)>Zk?4mMDB33o
z&Vv6(;{TBcdR$8(KfJ$@xr^F<A{rgAwpyY#<j@wg$B9S>B-SQkZM}zi645E@nIIUw
zi8;IT^hvJWFI4CkNZZ6BL<`Rna2857;TAjRxIn;#lx2%i%PVMW!NxO#E>qvM6#&ot
zxkiF&LahpB_8F0zIjRu<ms;ygp78S<#jBRMB0abTSEMM-J_z4iWoM2pEXp2>ligU2
zndkD{OM%oyqEdU$@nbWy^svNJcOFoH2!fQ&%n#))*owdRS-hFm7s@;#ou9y-&A27T
z8}T;*n3BWC8<z30kI<GRFy(7e)ElOL#oUCQUlKbV(3A~e$u``rjIU(0r_ZJF3>?hN
z!6k;aUQ+1287AH!(geCy>ML?Pf-&!=kXEv5zD6HJF%Gcqy5c9}BzVz+`<)!I4obZW
zXDW#qI9wo7y+p&@2zCQ$FE+heUiE<WBs!+xc+iTrnqkitectpT1|OKY%P62a%=i=8
zA2xl1L5wRFw^d)_2NEf8*?v)w_OH1uc=`>d<=|4RDXd#7;V(BhUWeE*35Vm=76~C3
z6LDseJE4L;u>QJ&32nSgLn2}}4mLUjW^Bb@slEOhf3HTtO0O=ASTGp}#deUcE!%-^
zgi^dA*`mkcNaBdJn#kL`Abo6hksec;6SaA@fxL}jx)l*yL3^!@-VhyPudN*05~(dj
zeZ#^<Pw<qR_GGCr=un|}YJnw=_~HoGo-sNQfcZB3VJ>4Et|mU+A^B?Dor%~P1|LA9
zA}v^mP9!u@h(5GO@+4Q8xC>i~EUxfko8Ho7;={G;c6};KBOncGYvNpuZR<m{KCp*6
zp38aqz2u??i2g+EPm+S*&UQ>5;oUKa&_Su<Az<-N?1{!Zn7`0*DA9&O$_~~<02u^i
zz;p6U&KrANa?+ZaMYJr~yF;IZM-ng+UhQCwMd@4ua*3lZINet;gNJL7PjEi=)>`xy
zlo}|w3kfb1W<wPJ4s0j$!6@+e9yAgM;x9-Znv4m=JfT{K9c1j%=dj5{n@ppjg^)az
zfT?69Ev(HTU<UPj5Crem<HIaM>A>T#2U^8zY~f`5ftxlcW)pojyt$jz5pv%p;9Usb
z!-71uoEqN162eQWam<3@_(H-Ll7Jv^+oLaW$_OnZZf&+#2~Y{B?Wz}DM%Xe~@+}MU
zpct%4Tu$(EF3}w`Wi)gJp({8uRPE6h8><OjO+%=S@Pv;D_(=1FjJ>RuXw|0#e@cB`
z2kt*o9NZ{dhU@<YQNFNJoHa*SPw;wzwb^DP0UL$KrtZ@hyPFB!42AnJO@xcvLckVG
zg`_yTd!N3eVj<Wf+!p_#Npsungl^{@9t58|$^n`q>>_-ZCItVmN!ym$OYmMYL0wVV
zeggJu4imH=_ZQX;*W>T^MEf3tpteVJi0%(j#E26!#}NYPfS%D#%+U4!!f#4k$#vA!
zJ4PJGQlaN^Y)i;rN<GasCka1Eric{QJx#!A^73{9I77f0SbKoA6u@}`&coFMtdRgN
z5pYQu1pmOvM-zRO;H%urpx`@w2j~W&H(=&>td*VE--Mmtu_!mX#+|)C2l7U=hZ#TM
zF9I%S<Gj`QdwiJXtoNua9k7|vRt_IQd_Y7xAhC^==m1SdV&vk*9}&kRxcoh?xjFEJ
zfG5!S2No}YzX|voCjG!-1@Mf3XR!AN`~f;oEqDb_e_%}<=o+=P8w3#t@h4xLB+*L_
z%vq5Ru{LhF(ab?cAf}{n5T8OgXeJQzP!Mb<$~qE)$tRo*XAREgLLlaxEIz~%oH*i6
zh&#;u3By1AEfmgA9QPvJD-GNa<B#Ke{)j%wVPArM@xRM|#PvHz0tgAv7=ydXJ}yE)
z5aB@_j}x51gamVq8o~HH=IO}=)Fqe>Xk~ogc^E_A(Zjgi%8B)fNCzZF3Zh$@jPaOL
zLx~zHl*j*$@)Grg6B>@0K1Z+<I9~)I_;r*c__WJ`C<3D3<q_6Y)YF0hI$%95sUG}a
zk3q7RR!?i9;@9ARVljd}ngBW=dl+Z;DJ;lN&nX<QnJ<PIV$!HD8$skz+>GP(#uFS5
zNk`FDMcN3wdz3}l(=~Q}YuI}fpF%|D2(fkrk7MX3Vrw0`9b--G=^9yMVa73ZI!;L@
z)?_$*3^!yskVZfn)H%+&3!o1HeF%v4qwizoXOA0~H>q6wCwYG&_J_mAS#M8Xd=LS2
zz}De6l`f$%)*Q#BW9eC3qH~U+#6bt-h!PwXC$N#6m_fu0{16Yi6r!$h*AAb<L|s`#
z%Yty7<{yDi#+n`@iADz$iXZf#YVnVDobhRii{%*}bU<<&E7?!fnNMZ&;n7Llf#BSQ
z1QZew2LCz5+!d4pUC!WU4c-L`o(aS=0gjzwodm!WF(yOWMJ)8sDa;SZ_!%9M%bQBP
zbf~U<&Cj^o%!xerVg{t1!E%WDco<qWiwe$y;&Vt_e3}L6&Ec69bU=al<!Wjzk{b$v
z?^2<6Vc%&MCjg#BQ6i)?{uTG89FF5&5wCn9@h*glUvL9_`7gL%z|k^7%Lwf%8lVzD
z2dod>it0l_4FvZxA})jC^Qa`EL9p;Fa}ed06NwI3u7xN!<qY${6&J6Er$nrP*T16Q
za$q&_uO?e`7QjaYd<1K(z^4R!3RP!Vvf%iFfG>pEYn;W+ZmM07))Q$xtUZeh8!mn$
z0UP1USsdFO;JFH$A^aTcCV(x(v4u>PC|Y14fDYA`esNB>^mZa{C;h`<$OY{3qVtRi
zK|CK}7a1i*0DFmdFDcG>>*`&}vk&Ni72q<KOpBtLh(g~}q3?xhcVEB<JFYd)I>2Ov
z3v7S@ju6`svO!OwHBT;}0}Aaagko`bSa6Yf_(r6s^IY3>trt#G>67FyVKCzo{)|Gy
zd78m#;WmiZ5~9x#HyuzkA4!ejFg|v;St9~ZE;vu&f{SzDWQe@XT!es2B!CVmpc(1b
z*vlrO@LYncG_XYZAVK|at#6Q+8zNBXf2rjy%yElIw<u1;iYo6CKnJWcQkY}a6<o%0
zYyM6|I_Ub;gL9W<cP-{r5w(h{=_rK%LBJo-<0^($@m>;UUu8|)=o&+7<sdGoHF#WS
zVU$_m#lPZ^_l%0sL6{ARb#4ECt6cECBtAMIAO5ic^6~%GauL)w=+!MI7o=ZfDW1G`
zg%CO*e+=<AgPHg6y}u^Tj>wo@u=h6>2`M$1ho+7L;dH=a%|$hvYBEQy8fT(nj=`Gi
z7yx)RZiLVQ`EekVT9jU(@p}>#vkQ<vk|!2uxDVl&SFq>?rq*yd{)AvM!KEA6HyjBh
zgbpZKSPd57Kb2{E)*>n$klI$%ONj)U{5nL%JOXT82O&R%5KJC$y~(-=q#+@gHjr@>
zhcvG-j1W2)WYS+zJ-mro(ww6SabV_vbc?kWWg-co1C|M2b_d_JWZh!EcH-4D6yIV^
z-RK$};F55FuE<m$?mN@UmUFcx3E05fxOn0~Gy%~t^fm@R4#W@;0~>E+bmBlf0r3Px
z!|@Pi@)D9d5=;lw1z)Y+VU0Ztvh(S;z`Rr!B6lIVjiKlc=5p-3g9~>~qPzgyYCm@e
z--Z7IukWx{_P+?NA4AMtmM<NLb$8iDd-}34HsvW~++!&SR@`G7@sxg_owOrbX*hHb
zQ5r+m@2mvz2fwow_$NdQ9<Z(s^syBz>N*(CKfn+2Tm}D!tQb%4KV-A<Uvg?zu^9gU
zKFAX^m^UF2q{o<${B{+KGSk<KOPlt=Ps*4A;HQ6ZwSA$A4Rs?J3)B?_x`_grk61J5
zB9uR3U)k|;VG!FA|FUe-V>Sx$%a7SI=@Lx*gDr5NkG){|7K6d@35!Lv+Y?mk5*&KM
zb~?}}U`iXOO&G3b4)cYgKXD)Bn?G5W8{t@}gQ#>Ecs#?soq>Ph=bV0p1%I&(cxv-E
zn`+0)*Mzi5_>s~N?M?OI+25=O5+w&yJiPmqW#jelPuY)n`sN?@F`kAzW2K^45UftZ
zkLNf&XE|p222H77Z`l2uUcf(RJ=_RE4RVAAZDG@Me1kObIdjGJ$XRIk0zdb47T$ir
z((QQJ8t`Q={H~$=l8rIbmuyNy5+V5|3o*ZU-j)6w4wm#$8o_rjSyOu=qvR>@;w9@S
zU4ZykY#g4pykhh56#E*ja{+e0W+S8v@6|IkQcAlwg{1bTkoTsU8cOHh`@}TOo<5R;
zBFZ6DGDYB*{QFC$czgO}4uT)RYRNR*e43PqON4!rsgboeT_I66W!Mu9IoCjiY-)+$
zz`rS*2H+`9F%84hD#i4PnZCGF+AI;=n5hP2G1DYBLa@+R!XVMG*4gB{%*o^it|pV8
z;P>eWZYKONVS>rj2md5znaMO7Pt49V4NtS|OmEYj*)-dZOUKWtj7R&gH=70_j@{W9
zn%SE=3u1MjW+M^1a|NDOIhao3X^f-k6rQkO$AZPl)Jr-6j?SiePV{*o)bKWH2nlA?
z`>2!26~1#e1=|s+v?e@%8~w!I#Wc;#0sObEG#BLCJzMdIT`s14loaM_nv18+uBMB4
zTI^<8B;9~o?xwm9^w}X4FAsrk?xtFZ=D3?;@bsBD-EcRxB~}kpYy2Ysq=mo~50k3{
zea0J$`45359;RUWj{px-Cp$t*y`XA2e#_6z6HDHNZl0z!(iynxY1-#TA2q^4VMF*R
zjfY|{QyARvGWjFJOE1$*Jk9VnjljRixbAIgQA{5{LiRSCeL|^YW<g;=e&+D(eDR^9
zNX)CrqeD*g-15A(bQi7PQO-@CNW4K>C%U5p=j=*%eEWmal91e82RONhepie+H=LfV
zBRtUt3#3{BO0GemmldGo8U*@S0m`aDpq~|>tQrIcSOH3;L12&-pu`yjiicPcN|`}q
zm=&Nr83Zz{042vDFx(1IRty3otN>-jATZJjP&y0(IaYvjU=YaDfMQB|;Yhxf<wF4!
zSOH3R!7@cwfHGYW7;6P6(*=R?R)8{H5SVBMD9HtZ$yR_eTIQA)=S{I9l*@uF)2smH
zvLG<S3Q+nA0yC`urK}+EwiTc>6$EBm0ZLOrV6GLQ+!O@n37{C=gpyMbDY3FpMhXI@
zR)8{65LjddC<g_BGAlrtCkQOH0+e%tK)Ds591{eVSpiBcnOj_*_r4XOOcG@IzzR?%
z2?8su040qeu*wQhvIqie{#RRP9#~azxBuQG_v9|;vSlOt%>sliBrHKzL3tr?dRbgR
z5eb0=$%P~s5(KLTsKteVwjhHQHSq_OT1$afy)C<<wk`#gzF@Vo#Jaq$SP`rWyw5Xp
z?^p2G{Bh^bXTE1<&di*dxp}_l90BwY0eC_HJwyOD37}gDz!nXfarwa+M3b#zLN^eY
zJSl*_9{^7YpzjC3HUV_^0N5_T1qBFTrvSQk06Z;#?i|e^&kCUv2f!Z%1Ps_EfW8{A
z*du@r8UXtQ&@}_#fB^bq06Z^%UKju`5a_okgz1F=@{*X)_X6NA0=gOSiU2xYz~VIl
z^tS*wB!FHP0Iv(6g9X5w0^nQGO!7A&bgBS2DuDhJ0B;GP69vHA0_a2m@DBm>p8z;6
zfUXk&Ck4=T0-znB*-Vo3odEf#n9yYc-~$14nE?1m039U&J{Cal2!Kxo&^rR)a{+XT
z05~n6auTjTkbeoG&jY|20d#c$I4gi24glW>picw9w*u(Q0Pwv4`Y`}p5I{c$fS=rm
z_BRbcM+T5M{NL69Ix+wx2%rxGfF*!F3jiJgbW{NF3813_fGvP73IH7htcm8@NeEpN
zVA4eZoe}_&1<)x0AXNZ;5CFOgpyvTVh5))70AvZEy8%GXjhz4VGD&{}kf4~*!2lp%
z06hu-3I))M0HC`7dJX^-381F{KraDw5&-BUpqX9*AjLxHB>+$&fDQrx{RPk|0AQd1
zIs*Wd37{JQz!d^0`vVLWK&c;Kc(V}d{2(I*P~8U@C4lNaz*PdM?gNYwKw%$XtN;r8
z0ObOx<O58If#&c>hWs=}!qo3!GEo2}dw|ITzBJ$(0hH`vah(84_5f1_d~3iB0w~bK
zqItRy3iBW{1W=a;m??mYJisggUIS(epz;ojDgo5o0p<#z$PO?s3UK{VRR;-+33YUU
z1p=s^1JntiZVs?e00nb^1_6}H0U8BR9tT(~fMPiJA4`PvH72(Upc;;2?hrr$9N;bi
z6ukkK382&sutET(Zh*T5P~-+!X#lT3s@x#=iV2l%fcphd)COn~;25w*0Of30JSc#2
zHo&h0P{RgTCxE&&_aEzpP_u@~1_2bR0e&rjLN&lf0aT{}9uq)y8lY7G)oFky1W=a-
z*rb8pe^8PJ*&-$l25c2T9U2x-3ZVE5@RR_G&j8y5P<#g1E`X9Vz)k@anz{dYS_qY9
zfM*3zVg~r50BXwsy97{H2G}EjvNFIv0o0TM4hW!{4DdXG*?&+;26;hDC?W&AB!D6^
zz+VJVJ_dM2099jv*91^61~?>udNIK30w5LZ{l}X^s1?KHZvv<i0~{4Vff(Q|0aS(o
z-WEVj7~mfQs0jlc7eFBx;3PnF|3N7jq+Lv?0t5V00F_^W4+K#11^7q+C0~G#1yJ$@
z_*4KTUx3dA9G`6VAE$*-?S;v|1W@P&I76V-){hK07X$kD<iBGvt?R=6I|0;k0nQ7c
zehY9>13msJ;DWgDFF;cU1zdo50Tgfn+yq+GyI_DP26Qcau^9AQZEp*pfQt+|2%vZi
z(A-G~#aoar0w~-9BnzN!3y>;+f-OK-0hDS1G6Ybm1;`RWi54Iy3NZguq6G<x33XY3
zd;!#A0SX0Bg9Yd=fbuIqkpQZ%0KEiIeFf+vV4w!g;bI|FTwzioV5kB81&lCYpa5#C
zE7!Gn8>;74H&oZr%Z}Z1DL{^8v^UbL$zVtf%xmVqHHO8a;c+H?1c6o=cyALdM#X^c
z=c{6|FjZJ2j}br>7GSJ^>kKFtK;;z{6Aa+`Gu@D%ipk9eOcX$M6~{~#KuHzg8Ud70
z0j?83(G*~+0IH<`Hwd6w%JpZu5Z>($lNkaimIBNaK(Q2HmH?`w0J8;976qshKrIwt
zt^n$v0P{4^*B_Nnkg%9g`2<)XfO;oDod8Om01E|B<pgLDKzS3OQ2_N!fW-nRV{-jj
zB7{07!0iI4V*=bEfI23?T>_|M0xT0i^%7u(0IHV&cMG6;39yo&S&y=(4Y^lLs9eJ2
zegV4-Xc4g2fHeXrRN{~a1yGy>_>};vk^t)jK#<hy&w3$LBw?~a0L4gvUkjk>2(VEA
z<wk(V1W;rIXca(Z5#R{{R1pC-0W_P-jN&247BQhr2(VQE#X*241yC0RcuD}ZK!9xm
zr~v|O7eEaVU?+hVjLuCl>(4VWqA%}AET)A&9PlRrRQLdP3!t(GuvY*zJ%IfJDCGe>
zCxG%Dz(Ec4_@{0M@}ihfu><(C04j9=FAJbV2k@!@Ds%vU6+mqc;IIJ7aR6@!pbW?H
ze?$mnIDr2VKot()m;mZ;0Dl)i%?;ok0aV)n-X+lL6>rJ~I2i-FjoYI!tUpxPkp9nD
zdYB3uzy|`TumOA|fC?MH#{wv;0emWeY8t@j0;r(@oF<@n7XA|7`1|8bjOcouWsF)`
z_?%7;e;Wfj`TJNbeBLDg1d4&Nci|ffND$yQz$3tGfK5QXEgZPXTz{QnM3>Pe77Hht
z15yQ~8IVE1_acNd4akWBok5T>N^9XflUx`BI=Oo+7VZ%(zn75S=73@W{S4?&Kshcv
zz<{zC&{<v)i-m`n<lzEF7%+-}l3RGR0b>ln^`~<fE9v7*`UC-v0TTsGGT<5k*BUTY
zz%&D<3%JREnF1;dnB6R7jv;disLO?KF(4cRx}FPSv2d+PUMS#J0~!T18L)(a%3XM=
z0e8dza>V+3S1cN4WiW(R2>7`HD+SzR!2JSN8L&pc0|xwxfLdR8tpV#}K%d42#;E!=
zhaWcS8)HPLKgJlfzVPEF`H2|N$(v%a@Me>|RlsizcuK(U4cJaV@h-f>fTuOM21IB1
ztfWUw`Yr*x4cI4OzX8t+IB3928mKiT?rylP-LN;s=!gMF1spTrZ2|8Xa9qF%1KI_=
zXTS#p)B(dE8t`!p=yUm$*Of{C%%q==rH8*X;EaH;4fsaDzYX|az<C3H0*Ow)`6KMY
zH%>J%pbNEPv2Y^3abEWc@#7mn2LT-o=prD=fK&nsjNvo`GGaiNkrj)DvrTePK%N1G
zQBVmFPD6@FC`yKV8qg;Obe6@jSh$}_?k`|~0c8Xyn89EJhH9X;ltOwwrbhR77q2}z
z!(-zFcjJiweDSTOL%e^vG+LZIsG_8JVcjk3V7TkDl(i3-!=Jm1CJ*_+exIaN4ssW#
zl=lB2>4nRZ)UE+;+xzFs*?F@4m$Oj=!46!?`mG&ls`01GX!0dx?Y%5z?H_K`XZ`YJ
zRD}k){oWTZWkbC$T^cQ3`^imSHrJlZXv%<rKb+O`mnErHBi#CkSEKllsx5O5Xzn-@
zy^_ffn;$*+QOJ)Ret7xOmmd~C^7wK7W_)zzx1aE%3qQUkOX0V8e)Ph}gR@%_s}{_y
zfe+cb@YhIh35=<~t!_bmWz|>>^&5;Mxr5#RiZ`w;h3dqo35D>mIHg7ob9XncC21=7
zWkR~eg{!4Nbv~0&0E1)d55wF8jqe4VRlmbK)3n<~(c0Iq$j9?e5-b?Kt;P;__qMbv
zL|3&Y&YfYL3kp<eM|TRG7wF9KhT1#a-P7XWZt1C(QD{#c;m*$H{^3sZ0wV-mi4m|8
z2#%@ABivJpxWXXDf)Q|{M!?b#aF*l)Kkh?As9Ve2MV-Q{@O5I7o>E}&R>U>ZUDnst
zs;-#tE<iA2zB>=WT_$Lq@9u-xU+24nxUb~%`R+{p@QapYRr+E=s;fQHeSy0w2#ZxM
z?jd$7vUWy0H^M8a@7mJ4GSw$7?qpZ%`ql7IXjLOu!%L)9)vk75i@cs&4G)F($iG*+
zU+V|@(q8v)k3N2$vsgX24^A`>9&o4mG+N@Uyl36o(hWJPU*Ci*Sl_qLJsQEQ``kkj
zSo_^22nO%h#Wd}AhY&ls-(4Kn9>2EVhM+mBU6mYg4@1ca3U%fQR7=$1z3u_1$cY2)
zKAxGnxUNnv&LAF7W5rJoo>IQk6Tlt4VMU`pPJg24^ISC=<P3{h;T{x?Mml3+Rz#}i
zWp|FlQd{DYnYl+q^3_}y61{~bS_Q+SCH)YgQRK~+-J{q+NoU=?5nOrJU5KFSth*<I
zH3sfF>n=s?)3a_ibk;fe@3g8h=iFlu+;`3$WGj`vkfipVbElc!%~6wf#pm*NtMAXj
z$E00le&g<GTC4V~9tpS3vGUcnfeDF`Uwz|FMjxx+*cLnCE!*mkz#p*K*Fyu=cyrt-
z+v<sob_A?mXzYIktcQmneepOe7s2{*R*o4wEzUYLSgP7F-b%6-&6&$a`};VH1M~bi
zD<46yTnASpFyrNv^PxI9&PucN?bxmAeq-?aa;uxpGnC>AO?Tb1PBl-kICj1(M@?E)
zxAE512x`V#L37d>x==N9Bwp6muAUli<rr=%<JFa6>#O>5D<hWl+?5GkVO=r7O4Bc-
zh<%?`Zn@3(EChE<z-hLtjjTX><WCc<$}|+6Ios-K&U%P56KCC>uSQN$)w8W6q%NIp
z6`9mVXBkp^m{fB`sbjOPzUJC^*x7<}%j@GxQ{CoRJy1+&4%(|df-bry%jA&ebVm+&
zsd_nHk6OPeu_N;Tw%HnNQpY*hBeg)a9p)Pewj_EDp5|1>4$4vc#=CsJ=%AkCR4dmq
zD_8AbW_3nRZ!EJ$BIvZ-8jc{e+!}yj`Eu)8(@1y>fiCu1+-`kgOhOWB*kOfLieS_V
ztCz9qr{4H4yf;n{Ze2}NBId<*g$pw^^3e*bHo?vGMe6)&cdnZFJ8yPm{XN#2Xd?}G
zu0(Ci)RgO8S+QB7X1g`ioXc`&EmDV=)RszDHgaxNpKQ0TLRE`*Skp|=gN(uV(_QJF
z=*4+yj_t~|(;9`Qy=tfRjyqLf;RR0dJ?onAX14_M%7pgFfInIvc0;zA$E{wywasv6
z0!ok9cbjPta%KSdc_&51BD@TaQ$ed*c--Pl`b!*#V9#+qOg}ho6(QE~gq5AGo5y6M
zzb2R`J?rmD>LgysnxX~ZALZO0X*gj$8bB_cJ~LhPnbj>-9~G!vxNyPJil(}n#!5W@
z2@}e_pIIlpFs(UfU5Vhg=d3>ZhOQPbOy%Cb$cN{w@7-nqra3_lzzbG#(v$Epbdniw
zLEU)EU8_pIVC4m3)g?mnU9h&fk@=VLiEMw&B1IStHzy?G4(3QxLL%;AY*n|XCyqj}
zJ3Wz;*JtU8Y?}@liEP?|8Hqi*>O4D|+omfnxo_GGnENskud`r!JebJE&CW~A>7b8r
z$L^qxT#=WU+1;E&PiGR&p=6~iI}TO8V_YI9)2-tYIhDOLE|C+PU9MwSmM3yzt1C~8
zPHa2ICH6F<Cr6bo!&{9<y&LaKH2r`To+Nayi%Wcaq-=a*`As;wc~c^1wEwqBpUumg
z5;-G(xk=|7+^j1+akDON`DR`C&drIO<xgx*9OKnzk$3&o6V&!)7AJ4j+Tu!8_17jO
znY0Y1O<7^3n`-4M*JG|ACiBR1TN01oj%-@<JZ#06@;of}^E?md!>;)rp62*`4_Aq$
z`JRCYw&i=+1gG*nJn2pao^c3nDA0%BRp9Av=JvdNWYn%+FYxq1aK6BU=||-idf2P_
z>YY{Sd3zF$9M<UJbbnK$hg*z08)4Y0+8R9^@2@q&zEyqQ=wW{qG$F56HMvQ{rA;35
z&@DJmx|%#mYJa20Hf3K#Cgwa-)!~oK?c~A5o_vg?s~3A#ay5MA*PfmMecfH{Y{1a$
zR-sNU@noy)M?Bt4%^z{z0k<n|scx*mn{_Lym*5G~t!nfms7rgK{t-{(G&7H6Is;&s
z!q-=)`pptw=KPGq|7(3_C0}{+jpae-EG+RBt+!km98<S{<>}FZg@wvpp++o6IF&c{
zB(OOSf91(W@Yz?M90c|mol~DPJO?%Dj3>G#n?keA!0KSG+j;d1D{jGqBBFCuikh+~
zA!=?)j*i1<QRtg99`56EzSa#i`fJZ{R^YB=F9*VwWG^qZx01ajMY>tGId7w$e%&k!
z@#0F^554PrVkW%|mG@bECdXDN#hcDfy`{{{{(Gp*%l>=5%-bEo|CV`&A?P+(mlGQ7
z<wCx2u$Sliz+jlPN1h$*UDL%hU7B7EGx$R63_VZRPVn~TIPdU{D`Wk4u0)o%cY?PM
z2l2=CUN)X*p*JsGUm2aC-qhAq%xjuGyRxCGqCfA%ja;?RJBY)2$>Uz0@P@~|92k2a
z_j2TYgqRsjm5+N<&0vD#?_=I<%QUQNd)%9eI?iwPUXzFe_Wj1&6~VFJcyrQqL*+Sz
zXei&MkFUpEwbh$}gL-cDHgG-PxZB&^udT;AccAsuvfbY3W;&fO@5U%;kNEa@f5};E
z<MXIzdt}e^-V@m=`k)*qj3TUxhN{|9ZcEknlin<o^fT^`O;UfIbP7qx<ibhaz}cs~
zJ%T!q{mzRp?94p+SD3}8skXKnErcy2tjvn`uJb{3MS~skYmc;@@{VU$eR7e__E0BZ
zL5|MvH_id%*Ae3b4~xPutiS>>n>Bc7iVvH;XMX0p?|K~Op6cUVGIXks+k~Z4eH<r`
zO!aY&{qs~<V(y#j<8aBD=HoydJI%-LnLo|PK6_-EkNfk(Nb7>=xf&mLj-_E=8R)#Q
zuaK>~`cB`Vj=EBn&O@g9`RdDqxXGbCa`sMNsK5-ZY^MimoWj?Tr(~d_+}!ta=74!)
z7r$=7yV`W^o^12=Gz-Kgo~p`y!k3D|&a|PL@2jjQeCY^2-|OodnfQe7(~d|Qw$sPq
zc;il-0Uq+P)0Y;r*tXO6u@6ZP@AYMxaWKTWL5~9*pGG;lr33E)on2qGH1-ht_an&s
zWNxmmXJ4lr^>p9fP~XUfl~s3~=|IVR_jqzql-<m^3>%W7mJZ`;7UOlp*VN-#GJFQ4
zkuy{I3iPx@6ETP4B0H?USl~~MG#>XoQin=*3i&e;^a=Ud?@q|izPioC)`$FD6J8Ga
z**pIZ`HRfFR^$qeH}l$PpFb%ur@nS!18x&F!)ww+KfAPXqMuX#1{2#m(a(wC<U~K)
z>;lqsFNNN7h5E*!xwlW!)>9_=GmySu60$g~emMzMJFI>`$=^Lg>$9C}>#J(!)>Kzj
z%$bKrHZ7WueN6Op;wSs-?PA?jsZJi6Djx4rkG4~xGZ3IdLv>Zt92|>jzoBLc(p2jV
zKj(-8GyMEn^FK5E-8$=X%(41w7ghP!gyc^8d*Tl_?y7z_`%_Ri-IO=o?62*B3|^kE
z&+fzd{^(>e&>4$@eKm`I*mhy$FVN>WWPxsx84LV*eRb|O%;s@IYpkh^^<V(3z5%b~
zi#}F{hU)ZuUG#wk{;VW@<YfgMj-XCMc@_3*(``Dj&EHM0iJ@FqsFdBNe)+gRPfxd-
z+Wg#Wz1Ze2a{Vpxd7J+>Ua)fy`g@xnT$7yXs`j8iQ*EomPbEx;2mLo7NPEH0jlW}p
z<`?`k5j*~ZpVznNML#d>5(N5Y<d$4@>p_24bvhj9iHB^5w|T{NRlloCu;WamAW@5X
z_|?<4Fs=vYVQQOrCV)RrKa1OSBvSN}e~8Cioc*1l7%e9c`FU}!IOHGZI->R+!q7dU
z-aX_`hw-^X{;Z%e?xBruJ?&36lj3mw6TS1;xr=IQudS?IxS+bBxI*7l+^VL0p}V8;
z3;!hK{K6NyUEcpfpG)Ahzni%*Uy&=$zBCuqSxq_Z&q6KgPW#hPi<PJSYd9oQF8aB2
z4ZG<7DS~@1`lCPPCh>>ZL!<31_0B~-2EV)L&vPAlDBBLQS(dMi!}j#ZLo@9n*O6!L
zvE%sT>;BI6c+;fm3NN`&M-Lu}eBIeTVVfDRhf{{mE#z;o47I%pPf@y%V|#F5Vy-<6
zK}D|JmzhugFINuJ1E}Y&Tzdz%;0p%XMW)fpoyln7(!n;bjD3UbYY=oUvr9}FOP%E?
zqkylxFO2Sre(wCj9Do;MY>e}%hs$hEAupEc9NsUp3r(f7)D#<!V`Wnfwy}e=6a3Lg
zzA-3du37p`0z5U<I@s=oD!w|{em2{b9&}1kdIlai7Kfckt9tT!n|qEoOz_S1_C&<S
zO|^^7=zYf7ttL*jbM!beXs@$h?YQ1fQV(v8^Q%{;+MJ_4pK9l$>pD-f^J48gxnn{`
zbX=yZ<y+%2+|gk<6(t_Qd;Hijk-to{4-JUhpQJXdvU`~-_I3uNia6I#?PPy(MOF1&
zJnV^c&1b9Z>x_w`e}osRwl26){`VLC9)qVj75YfvEcHl>%`5D1i_Mw$Vv9Ws!K~Hx
z6$l<)ZQqFCtJOBQUwLbEbBEU0JreYl)3z#h8d)qNOSk2|HFh8N{gr=;!#{hDsK5hu
zFLSQ>>bd=K`LWBcWHkyr5_#wWyOmR7*(P0L{U*EGwBL<Rle$pj<Eqecvpvvc(MOHm
zWOq|_n{6+SU9#DJI3?B?od0^N$`9>4HFCGjMRELYy8^*)ciV#yoY-xfXBP0;2(-$5
zCC-NmM#k*1<GB=+A4N;Is#}lRV-fuEsNLISUE?f5*4b*uay;1P(su56%$@+t>Bnqd
zc*~C2T#Pm!vqvC!4>42aEHyd}PwWo9W%~`lTLzaWq?s0c?x>xwC#S!~CHu_e)RjN9
z7GBiX_LjHo_c$5e->&oiL%Yod^woB}>0Ea}9l?=E(tCDKj?NL@0GGa5-T-%?tGofu
zlFxVp1+e+MH_+9e6<xJP<Aeegw>HhLX{?AnO14!6QUckq?41(W#_i(UnSopkz;81H
zedCtaL@IY$`(5h%1Mc4HK(*CT{dAMxAL*MDxGTQH<u@Fwl3sx^&5MGS!G_AZs`}bs
zG&yKi!(dg-BCLwDn;NUDg16N)&I^{;ESO#0(Af9dIrD03sv3i})s>5y8mfzZz99Za
z|M>WtMZxme;uS;*LHvjaR@Y#^xVUmbQ}v?Y?CQqb{MFTU!4jQZs@kr`jeE`A0)th_
zz`*Tl)cQcan)9kRO;r>GG7C$Flnf~zR5E1XtO`?NadEJsvf+lB#X}`Yo$4Ow>ir@5
zMnRyTI&swRR!2(%W7PM-z#w&JpFr<YU1gkTaMTE%Z}D|_C|_N;sHgCLBZ74ci}k+?
zieS)F`FaJiBfrZF{P(Q6(caO!Nz-<?s_PcjG%o#NCt)_1SEB<vL`~%XEc)=V`oBP(
zqiL6}=sLN=X;f`10=d0(>^8m0?-Vt@WJ{n^?{gkTF_>U(3S`CpO}EkcgX;A2K!%yY
zcRJ5wLO#ASkYO&B7o87rM6#OlenP7Gar|+p1NQ-V4&cg!9J8hC><aZJOH=zV#-(*K
zJEu^wD>Q{P6Zh!GXU6Dtu235(uD-m4oQ`4EE40ZKio;G0|Ii&>8Ay$py5mB_NDEYP
zJKo)+El0+MuIHYw^%sF6uO>Idh47@vy93d>+#46#%7Zf0t)IkY_@j0CU0mp8b@A>%
z-+B6&*WyBdr%|AyvMO9(Q`cC5r}W|(Pdf1*aiMl3>b-Gtv>_|&8fz|TOnUOPq(swx
z+@U(r)Y<i>dh{28-umwUXpJyg(m?IFJCK>9P5(n@X>M9LLx2BIz5k}FSQ#iVd8ez_
zdj$B;NNt^@-pC0gVeWoY?Oz$lL@nM~8OS!4rjKHlrf*^~(<gB_Y}P%2>@=O%|2HPz
zjI6sSFfrL-TRG|a7j2UKvg1PnE26iUYl9w63EH{Kj|}wV>~;D8XC!)a)T4n^^Dmas
z`qzscZQ58)YUaj3H#0yho!fB0a~lJk9-rPA7?4MgpO*hz1)bDYm2`^lnr-fR|Ibx<
cPmOpqke;H=e^mB+YW|~`HQ!UK9t~vtAHO`Bv;Y7A

delta 51434
zcmbrncX$<5*Eh_}?33ObB_Sk)8d^dpB#_V{kV5ZC=!uX72t`2x76c3soxlQ-rh?pb
z402SEVnb0dD2nu^DAExWQSe)9?U~6O@8`L`_r2bKW@i6Z*=w)e_pCGLo6lQs*xP#N
zg*JM%gqi{VMbnB3rsU>KoZ2imf6UmKdPdt&Z_k{<T$wC`z<8~GY)Jqi<Hk+Roz!%4
z?$oDpi^@uZ#?CC9n3JDVlv|K*2$z-Ag!pGXYwGcBqv3L-77TMoYjyRx?Lw7E$kZH>
zdY5+90&Th`=H};29Iu~l7pc^Q^&K5GtCy9y=jKl>%9%K^tc1<rOv_5@!<|1x{ZPzy
zLcxqCMFma9Ps<%Mc51VU(?;j%0c~T#f+{U6C@jjIl>5xsvXU5RTGbJwCnY2+$MiV~
zHI$3`%7g~`&k6o|WP5l0WI}*)PX8sLzJ4enOt0HMK=*GSrl+<KP>$=v+ea#w^jYoe
zRsTV&QYG&?UGCB4243cu^)1W$M*pCFYvo7%Zu|QB>_k8BO3HV7d}1xVcaoPrG_khw
zz5Z-sE9J6Yp4i;&Th;{`!V#kXlNha>(xa0aDQEOPNmZ+#Wg1;-3A_a3h4Z<hKbsV*
zT+lZqHB?UO-z2qHuIhdrsuouu>$H-9tT6?n^K&MR%_=I$D$FUGQ1)zDgS=y;<`!Kp
z(&a8)zNX6qx}2lSL%RG#m%r$8f-X<!a-1#-nQ)1o1U<12-0A5X!aVV*IPXV#^d;~-
zJq6Iyck~oQPp9cAl%Bq)r)u<cnV!Pwi5(G1Pp1g0O;2a&sV+USE9%qJ6~Y?Q(*=5J
zOiw52shK}LUZuwt^i)yaykl*xm`q;eK7GscT^`hR<03C|ulnVSoT6eca&PDNGN-8M
zi`+Ndl_@IzBKMzml`)N6u*iMfy_KAz!Y^{~TzeI#$N`JoS0>05`CyTIhwJY!?R+sO
zbN{%`Npi*__kr#=I7JRw<X$>M?MkMRQx>`Jm{E^Y<d{Y7cYa*WDRRyt_pR?8<`g+-
zk$cIxr@E0GIcbsmr{Yykk)sy5_X?G%E7}N3M(r!eAXf6&BKKI|b(|uvEppGg_6?_~
zfh=+#;`uG7sF5skU(-mY$f=9mo2GeYk``)ai`<)KVM^c8xu-jMcxhP!y`o2s{(SFv
zeNCE=9@!&Uf2%J)JEn~uJ#~zJrb~Z)WB+)4X}1V{Pg=bGY!`QZQtvQ*de;Qz%<dYd
z$M+npdvx!twAYm`ae72rChE)3N2PW{i8Os-&on)%R|mbzAel$EZq-=R(r*6#1^HPy
zqiNu2TKIHX$xwY4YQ5U6wytClZ#CoY<36FFaC}bDSiN!2*80+3zPhtV4Sj#FfqF=v
zE_!?q*6TAqcly};sjMi84M9`YDP#1VX>GV{3%YmGv%9+K6M6*dBE6SBe=wCMNEyz|
z#pz9S(Z4x!F6$G9*2n8ny+ie#U5Du3_D*@VOK&BO%{$U1Oh4YEgZ_H2XwOn^nB>IL
zjQ08q8U56f9;|IvhNpffeTa7{cTr?0N!E8|wsDg->hlJ-*4JdZyBWjg+P<9Bt7rP_
zo%>;FGTrrGGVAEypoR3Do#}&FQ9GAeHP^rE8>;`)xw*cuZw<_Y+C1fv#(7utbJx%J
z_tI|<9Dp^~2d$6S32QdkLoFF*uvFKt3<^<38>t1{0HmOs{?&jWrMFF$blGqH2VoTs
zK-Woi!v+R%HCFTs(pUBO#;Rc4duq<4!ii(2P(A3!2REmzJ+iWL^K*-`vh)u9auiuP
z2nW$DglwfeQb{LK19A=yWXUOmgR$7uX{p#bsm=8sLqd?!RV&TAtY;0$&>sxVRGYWf
zm7y8Xv9-fP|9N;%eerNF{TIBi9G0oajpz%t+BrP+Ekk?4*|zv_ZbVO5+y);!hW31Q
zXr_K)cwfE#$T#)pM`Y^VhV_LCNy|j9Qm-SUy6Bn1YUzKEY=Bcw-K=;|>T!hEfyo=S
zNd4KY8Ok^MgRCaXcY02Cu#b{=8HcgdD$}Oso&7g(41q|!c6Nx*pOQ;Kt_tGP-^s3q
z)6|#QhxNcwG4OIdH9|k0ldNwU7o*3Gc89Gk)nGksRI>hRPOSdkr~&$tQA8N3drXuJ
z=dK{b;nB(Z%1JS>-$x7AyN*fL7mbe5H;oylZ$z$oV_()&$H&0@SgnSBYizRqZe9$0
z-V75@jZ4<w$c@pDjeAyqaZC)Px7QN%P2-bsu3I{)Hf&4AWY-DFy6@;1xLv5Z>pLcl
z)L)!{8Rt&X+vL&RLqD3Er~Br{K;$UQds<$y?v9#%9jo=x>pqpNr{%}!3!a**|AGcY
zKCiXc$4yMu$37LKzg`%upT*~<<Lc<ilZNOKXnw|8t*`EvpR8+RV_^4NT2*~PekRWd
zdG~0F;0e&%floXER--4L0PE5dPk_zoi6_90^u*I%Z+hZsZwNi{tT&FHc-EUrPdw|*
zr6->C7Sj{YdapT(@sX#!w+ZBFZ#O;hw0DS}c-lKgPdx3Np(md9exWCx_8!m^PkX8x
zKJo1CPft9%N6-_`gbnG52JF1n_%y9V6cu=kp2{nNOXU{|swuF)i59rLz8YK}K6x&u
zg37l|*(;x5Zd=s@UfQNrD}Sx%bBXC^-}ES-J^h@)5im_*4nO!h&EZ!5(##<$sSJXp
z?G%slN6&m~=)5pH%pfdDLV|y>J10XR|Cs7l9yiZdQp?ky_cxvjUz}%11oTur%DoqS
zXJpxNH6|Y|3^4d2N@~a_J))$JzIbsE?08EFEML0hh{3<pP4j@0O-0@E6{S}UjEv9+
zt%`sT%e6p#|LVZ<Z(ltxY0F2VeP5RO8JTAXNX~M9xF;F(^i}mCIZlL?XRN#_q4M-q
zbq#aouYTSzXWJAH_&HwqmdCAo)5w;*Rep25;k@#*Z<_Y({1geNHe?%_?#RbXXYBOX
zUwS^MylB%VLp*D<N^pR_bc<Jc#^!4V%qB`WpnU4qQxet-Uu0&8dS44DpTGU2!JXlU
zS<Tq_l#x}`2~7U|&Q3`!-@p4eo7VC#_ZTIFJ9E*b&vyHlUwZGjk-`4mRm;zOVCv;s
z`fA^whB$e>{KEdfjU?qt;_!7V5dgP0VGY$ibig1|Gb?}ck(qPaDyr{KA4=--HfUhY
z!-a;uWJmeiU+gzTxtSGzY2;eI=%^<7Nb1eEzcz%Zx?#ovtx5T<<3=^Zh0TclaX_ml
zt*Lq9OI9gcB#b|()q$Hjn%U<21gS;G3N3&6hj)#f*LY!NWc=-~uQ}zdkGmIG{^IG+
z3=&pIRVY5B1?el!2bRNG8y*I+2_m?B#rZD`Uat9B7mX&N@89jAXJ7RzpL_Xh8-qUU
zqF?!p9}S3@%CoPUU63>|!`NTGF=Q$-5K6z{SDy9j_co|J{l;Y@$t^MU)>R|PZcM#n
zwkWQUw0pl8R4QtD#(gtMR6Pw#Jo<N2`<<2O%)x$&A2j_;^DdwGP&zXRC?7rbmVbHn
zBa>HZ``gT#D>UQDbt5lsXBkgI-py6a(wLrxGlw;AXMw65HF(Wp!p#oC(>X~frq3$P
zY0^=kh@0}2t9n1U@VVyUe9Gg05V_M)2<JF2#TdF|%g=b?2T1U6=K3hcK;*<W{Y0vD
zVvU<Eom{D>-tmLv6ybn<M=+aLf|Lp)f5Uf@>Rb|{ocMQHP|VY*hglM`^!NQ?PKxk`
zXYZ?l&P~;n_Y5(!^5FpH=3HFEDv#xxot>~a3nKnIBO)wMbwjC0<(Q$)@V+0g)JsuT
z9oPvT&V{xAX9>7NnY~m;u}v1v+<J;R%vILQ%06!1&SG2&{X64rscs(5XJeJVM%OhO
zkmvFiinsG|W2M|IIF2uGA8D!>Y&^(gGSvBJobsdOao%pO{BE!tUL-X>&^ucRbH=t(
zK9R&dZIoxF8YfnsQByR0I-hQ@7~_c(hY(|qa&GIWgc#Z0{zCO|o=H(cWm>;5+r#PA
zMX^tA&PLr7A47f59!hmX^4YB@IlGrK-AL1r@AT=T>^2O>`l|-{J%u}boTLOg)pTW_
zQ7WX&G=yl(1&@(RxbxY5$_Iud&5r~|Kxuyk$J(YSzGQ$^lQb4OpBbch7&^#v&ew-1
z!7}YUG)!qCANPz@%t@Q37-w9z#WY})@`52B_ZyOa8>6f?%zI;;VjIkyD<_yO&sm(O
z3^OvhF;UrN@MFO*7?0};l}qxGRvFG!Q<TvLKemF~k^)p_XZ0CYn?fN^XVs?_b6lq$
z=JcPX{ABP`M{xQ*tDG@3<0$Ubip``G8@AceaYpcRUU*LV%aEiw3m(o@LLs%E@Padk
z(2;dsR1O+s>gdiV^OZk1E$0oV|3YP|w3&<W`pe44HZpv<N%4dyS2RyJcu@;-u3oI1
z{-4Qr`U|;`aelVc>LlD|w!dPwN$@RK0^!&I;RjKdHE*8BoKJMcWg_DoktZB{x1jyi
zmMb6G?1zUdl@O=L3dI<lo!CQfNxJjSDx+vY)E8jy0cm<wo)(?W*C@$GL2){AmaJ0_
z8+y@=5wLl^5(K`TFvqvvFboQ!DL2Bo`Ypwn=()FS-ssv}&|cN3bY!>9=FY#jnx^sM
z5<GTc&D^Qu;pVKh!yNYZ>@sW5iO!j37)VwA`n!s;sx?dF2Nl2ILY0kt!>N2K&9|t|
zrSB`|;)h3<6~hEBUp`R6^roK%I=|X$N&pTs9?mTvnqv)*9Ox~x!J;1n;o@+d4C034
z(2mW>J~=uMerz^fCl2PO5V!L84=V+-2t1F%@()F*bI=iU0-`mJv)flzOQ#_Os_n=1
zRhtv&_;JU~S;84tq5N#r4h`f`>wCowlD>8L!v}knAm`w3ls!hJ<8sjKIK=5hPIKC)
zArwa6(rP%{|6sNkS@uS!mAi&|>J-pD3!7VRcP-F4>a23eppdvT>AYgDF}PnQUsTMA
zpU1KV2So&+`atKD%ZjnmqIH)u<wtX11{_8_oQ<w3#;VGx{h}C4edmR1)<lnwKF%+$
zE9OGc`+?%=eB-8N4$^U+xoyq?!0BOkjqV!c#9_@?qB&92T&*GM<-GH|ReT-;E<RN5
z$U<_B{Q5{S*ETpddBFK6il6i0-<D+rIuY!lD9W<>>T7bpMCiL`)U$@SXkLdG?&FF1
zfMe*52desxq&VLfsxg!S&l%g@RC6Urb0yRpgN@_^57k&bInnRG8cMl=Y#1W~^aalc
zIzRSNw;BW<!x#Fg=31WX>X`u5C<iS#ozDcR#>fCT0eXPrGf^APR>S4UyCJGEjXRfx
zsa{5lrB%H1{c4sFm+0+rIIPVq!lCb{8miIbxD5ePBIOYETZC%g7&yO*w7i1ThKKW`
zDAm~F$X?NHv?Ij%MQuxnYx0dc>N5(oZmAZ~8ORt|*IEtSQ(rAr=qU(jXm@UIpkm{r
zG}qgXSQR@7let=VHm34(ntS8UrYd#~PP2b@#Hl!2WhbgNoSU1gB?|Owp%s{iEW@B#
z8@aJ|Hfp6#Qz#k4OG)PktyP@lDec6$3bSMqK1MnrLB*C<nJ!IqO)u=A4pJqZ2c1XB
zD)vsPnpWUn4_Don`H4U{Q%wzW*6Xa|nt`cU0DmNeIIDIg=Mm;qyQ{cn<wqoA2evpN
z@+;v6YbFYRXPZ>J1^#e$B5L=$inZRkk68?A9uPW7gh1XsB(zRfvFA!<*dU#bOcf`1
zPV@SYjD&xVi6Cdye$;S?!WHmOfAykF^4$67K$Ge`HCV;zomG(Q!M#G%a9$s(V!yZa
zI#I7tG@wl_tf)ZykB?MwUXn~S@_k<+!knLHt3?V#)KjP95m+c39;Nnx(gtXH)M#oU
z_{dY9^T-&rOo7BvDphL@_<0=i?Hq%A$>WI+AA{ro`0E4}_au~devzlTsgi{AmxuG(
zMD;ma8ZaI1TvwptEX@2xlT}<~@#E`LO;%^zbm|?P0XJ3unbe6n%?@ZgT@7_Mct%Z^
zqFe*xi$pNgd=YDQ&up@rxXG{Z^~>n+{378ClYaB|ge{Y?1h39faSOo;X~6_2T+KOq
zu9{}p%HWJ?IF$VPoVvx}ytqNdZOAlSZ~XJT>g_!L0<}ieQNx-3l3HOf;UdM~nY>WN
z$=9^Ni58f}VI4_6sQAcYHOt6t;xSbGWCo7?+rL5|&MZ~&#DtCGoqM4Z3xMQ$;QuY!
zKJ`@<mmW;!j(W6=>X_54C~dVG2zO=*A6V@~_AAR(T!S$g$D}AoOYrdq|4B%>ze4RH
z6*-ZDjg*+2xPHd7C3>U<3Z#9kx;qQks<^CU9n^-MkJno|c`)?<04=<|0o%iq0O2X~
z^?gglxsO$1q30Un_!#Ld-K2hKknl_gcL&Ucp2OV$XTl@9?+zOHIL(veOQGob>|o*N
zthI}VZl>_k#H9G{DOblBD%cfELU99uBHnP}6(2A7azB=@{9PCCI?=l?8ZuNCCzj=e
zRBn|YP){9Ms&@O#Mh9rRKT)bd++5scf3;u5EeMxn#X<FTsgl=t=t3MxnbPf3b(N7B
zH57RAg&OUQ`P`Dk4b{sAotF|=x9;%lcd93(R~KGRY#v6zomjqN$ywRRnXzUKtod=J
zSke~9)z=L-$-elFRg1j(nEsuL%LBBl24Dl`eEcCG9P`OPsSY&E;9UUrKX=Ft$3F7-
zl#0tYc0KpR2QP{mup|gulkZs?_n1NxvGeRXnwU9Fxxs=fqN?-P3sy(56g$scqUmGD
zbH?<6NASa-$pT~g82+O=TcIQ#rqFh8g{t}OxvDl+ApV-#0y2MAUuG&-mglc(qO;B~
zs;>flud6L#%r%1wyen*ULrrpa{guemZmO{`|GG)$R!pj4<Q>c;pcXcn+4s?h6K)Xq
zR|=k?mfTir!P=XqNU5rY5qE9pj9bLB_%3#?Ew@cFk07iu`yLK?bMFw(g5T7}u<fqN
zgLUWuL+-1soU`r`dDR0o8g~C?l6ksd6$QVm5zZy|iD$(hsAAs(lZRF0K13BS|4!sB
zf2s}PlRr!{ZCv5$M{0BDnukPw?=Lk5PW)+-xsA>JTW##z@`%XqKUV9&nZHc3<!~r{
zqSkV5{hN69{iD`{bB|3PnuwQ`YR#NGo)8s1RUa<@qxN!N=3PapQl$zUkJFmGIxkFC
zAv&$?y9YF6{7%yv!EcHtYY%9-1n;?NHQ<22CHChk@mzIiO_mFj1-p6&=P5x1w7~;3
z4=oac-AuA!h~M%O+yVUPfvfLZZp5p4AzQSE$;KN1bgDm`@Y1Tm0}t&@Sn91EgiC9*
z0)FG8425VfEuL*&FI%BHC>iFp(Nfg@$*}%MbpZtVY0Z_{#MeoEI$6&--VK_p#{*9q
zF|YY)iR$!Zef{*o>eOU?9;7IRa6A~bHxJNapo<@wg3Pi#KMK&AKwW=rwaL^nNNWHC
z0!${Z!8VIUH0U9?k*XhPa=rq?gG{D>LbR69B3P0_wO3$Nh(!t`Qm7<VMRZh{N#gag
z+Y%9~&%Yc9EvlND3!r5Uv|)HPlaX!Mcmr*q!x*SvU2=wNos|A?JX~w5Uo7@gGm|0E
zN9zFNui%1V)0lAO3y7|%b%)#6RDQ*xewM;cR6d4^np#iwatgJL7Ron}9;xk%x}Acr
zY3|bHH@ZBa%O7<4lP-UyK%-h(xq2amGHDM1Z5225;}m_@niTaQV;x}iVjMy0jZIbS
zb%N+6TAmuyN!D6aC&+Asw5a9oaPk&z&eqk|eAKSYH3%FrS}V1a!P>DCS6Ct(iqY1n
z6AYI3>S$@|Sc7Gh)CM2a)!L~G436IQv}E-~gX1}=q?nXMLR6;K7IN!r9n>w7d3gh^
ztGdbH-N3wRaVJQ5N=Z>ib>bo=8p$Y`tl3Gr_F@9IB6{(t-bO-UHwZ{F8t4r}-8D9@
z6i=ep$D;3%9t7<hYxNax$ZU#s%uUj~a7e)CPO76bqy#G&`pz5&bZnxvQQ~bv6-~4x
zrKwG*5eq2}INluf+}Vgboomv%tA=&6#-erfCRE9lii*c+b(C?HI@Hmf;g!$TNO1+L
z6#l7+<uDq7JHIi!nF8MN+L;NDkvsyUc1k*9%`c%#DP3NrOBr33<7I5#KggD<<W=cZ
zrAk_!g4cz4Dql6e3cRLP$#ZbR4X-20rsa7MsO5R$t)wlzd5(d}&9w-n7}h6fiQKG|
z(Nx4vN;W|q;ary18nOp!?eM*BlCnpZ?9*&4S-GubJ3G_B(1sZys+HD3`Oe}D1ZOL)
zE4K5>8u%KLTWfDC4{SWiZM2TcJ;_rz2+y;qj+7fVyS`?-)URyScDb$AP_5I2+XC7Y
z2xHo5aY{7IZG-h2*@fHkSCuuU?36{@CX2Q_0xOK(QmezIiU~EbSVN@rz%JZr;6I64
zEp?Vf4}|C>t)4PdGEL(w)G1vmTT-14S{rqZjemCs^u{X5zoL?#TKhm`!w%f93pa1&
zGF+ktzC9T`*7u|#Px)5LRT##&chZv72SgeKt2=33&|zHE+fwfhX$M>^zyqEGowb^3
zwXV#2bcR+JkIUk_nOz`=o;#_gK;b16sF<n6s_mt~-mW;nx3vkhauJ|Dqc?fR6P|ho
zy)#nEq;}VuDZ^|sgI#2xuvqJ+&Xc_UbG07I92@T}i}z4ZZISwxWP7WZ)?Qg($)>L9
zDr-eg)#|ICNT%T4T2tjvC6ltBbt!w{QWtF?ME1dA{VZA6_tD~&A8o9cm{r}|RSrLE
zkPRz@+(PwJA?xR;tREOT4$l*e$c0F?Q8#XO6%&l%y+JoQ+SctRO&px5g{!?RrXV<)
zsYR>Z4X!TTsBx+(-6~tomwmNhb&^e>Z9lELnr8@%|8Ie&{j~;asZC&Kf32yy*brD$
zDL`eZi+otL+TG+(`c^tEH*=e-pG*0<8Co6nQ$zG4qX^drX_4yB7DFJ68m!e-e>Au*
z$qdfhiZEsfTIAK89fKMJ;in;5Gu6Gj^o;1vWi|vL3b4`L8;U)+iA|ztm=>?b8WQzg
zB(T-F!Sln>tr<3fKZa{DY9B+Omx}=0nS@z99HB+1Q*9EHMq*hD4T(vW66B_jq?-<O
zgULBs5l>!5TuQ9EMe3M03dJ`W;v1y+8{MT_V+Udfrq~trd&xX}q%lK%YY0?y|KH{S
z4)?%0VAN=B=SXu7__I5X_kYplF<t(li_+u&b@+$EF*pa`V55!2L<QQ5?c*q8+c@L~
z2hz!TIE!8kkY&KA-IS+{5kw8|A)EQ2@miFUY%vDG@$oo5CRK7O3H01aZPTN&sh^mj
zRmXY8)E)%gbG2GH<5=pI5&tdJIZtb%%(n?0$<taW&)bCNRtiyFhWDT%;fpj@n|%d0
zab4fSX20O6WE>+n^WY6Q;_t0gp}uDnt6IJmqnxvt0--Eli&ainaw;cfW+!?8j#vZX
z^#U9TtMufik6HsEq!9h^xKcoU)WbGM;xJNIjk2*%nyfX(sOOZarh{wrln(AQ1^ZO8
zjq}(P9B0wNCMP*~Dml1krGrt(6Y6_8g8g1Bn}-2Ed5<aLX|$^rZx~mE#YeYWs?hDI
zN@)Xu)9_XUqUWLFsy$^9Z%xCI^i`XV$<uK-U0NxwmKZkg?~DV-J2p<9fOb@JDqA@t
z^*_>PsGNYlvq|wR^o>pGYZockS?Hlnkf)*tHo<%UB?z}?VbQ{SRaV%d*|;jN)=Q36
zp}lylGVJ3u;?8HaE@}sxK%Y5Us@mQVXzL;%C%YUQGtGGFNP~G8Gb{g*ZZ2UrW6%gW
z9h(VvL~K_)2fZg7@w>7iaU<@KOoI%Dzp1-q1{Zr6gUohA|CU~|?L7U0)<~_enDBh+
z1sq+E8eB)D$%lJYwi}=MxQ_qLCa`fnPTF@2ft!{9H~Awk;W!tT${s`$f}rC9Em{eN
zoCR2nfK+Kh$U?2V+S<nS?n14P(t??kIJ(L0Q<Kz6D=sX;Oo!NHieJ`xD+8rWKUW#*
z=mE%zV;2>Kl3UPzOm6BW$K;+9vCm_Gpt@RWOrC^|{xw#ng0xcaIH`uZPm;5zV@b-F
z;;8n%%y3U-hUL;oSl3c@gI%RKJzua1)p-Sl&Pt(E|BF!VS5Zjq%|7Ftmc5EX|45;~
zU4+=jx~_$(b#44w8O~<4d&^c@tM~slnQ%<t%@pU^GHtO^Y|bV<d*djON|!!#NvBID
zUX0Cz`hT;TXpq;B#0S!42wjGgB4dkDOKve5HJeZ{X>2q2Wx3W^P3%qeVN5r*ut-=(
z<WQ<I;2KoQAbJJvIfgXT3Nehcy1GynJT?wz-1$bCpYJUjmgj5e$xRkRAk2DAi&8fj
zTyON|#s6AZ|2huNGgsl#>q{H&y;V4<es1u7YU7=z-m<Y3tk&wO*A2E`m`z>VTblel
z@?i<)a;Z8%_6qEj6mqK8>%+A>a<$PZWBSO-is~Z`|7aa9Sh`wF*lpJ18mN=O)v*r`
zJc)g{J3#UqxPY2qWB%d|ElwS4FppwpB@ym!#A$;zrAib%cT#KiG1hreXch&(s_Xhd
zP91F!MSH5N4f)sl{4edtkE2F!@<uex_}xre+5EDcJlT};KJHVcO3we&78E9K#1o}G
zY^Q7#*eTg|U@QryyscH`c-_?RI9NB;og;Nqt8$obs>(6CsqHvGH#L}}b5lJyG#9tU
z6qlRo;GkUG@Y4PoK?=uB6&#C;AjRRPdU6mhf)s(9Dt}OcoU|Cj+m%=;L1DM4z8rIl
zJk+^RH$~f`AcfkZwhCyzN$Xrpk-@Zi|NlGBp-x9u{U2=f$rfV!-`9d<5OMVEP4UJ5
zV+W@S9Z@Fh4SyyyE_dSCsq`D6DPu=X%bhregM!Isj7et~mhxd#Wr|LvDpPbkRhgo5
zDkD`~rIb&sDv5tp5|Kt{8bqU_m-698Wr|KYDpPdaQJJE1kIEDsfK;Z)FO(ub6_@gA
z*-V!5vbi!v>*vZ8Eu<?`G&oX<oLS0FtW42xS(&17vob{ksFm_!4^y%NW^L9!$HS&B
zTeL3}Pw?BSMc437t5QWTYe-A72D~Oq%kxJlEiV9iZq-@_2XP{puXI+EmKOr0TeU<_
z>WU<D3BKE^J%c?yW1BV*Z*OnYdif+Ge@VT5{rmPz>kd1%X|<u&b}hz@;YND=oEq@m
zF)bL9j%)5Pd%IQ}<<@T3X5%elhc*{)t9NMmc=Oq*Ey3HWo!VHuDZ8{0c+1+Q&B5FG
zUD|Va%Xx=yOHXQ{@aH?)FoXt_Yjb5@X^^$S5e|Rs*6Kp|ZfyV(C-2tAOJY}0-gQ(b
z;$#yjeb-R~7QCw!N+20h0AFIxe^+Y;$$RkBBoT`DXeoF*v`5SE=HkQ@Oc@o`04~KN
zV>2gi2ohn0Q|qlJrs?Z<1jBwOu1FK%j#GOYZ+Y)&<MH;*dt9Ej?`xwm_4@l-XS`i}
zUrWPVvk$Zhcw6y-))#NrKVUFnuQpPegnnKnFwSV7RvnV|X#sF{FYY<;plqL(hqqb#
zwBa6XSBs(o*m)bB;@pduf)8=|9rU3VFSRs*V<)t#ko}?7SpxN7@_u}Ma^OR)HEQ|&
zLv1+T`t8@I<L$_PEn9MRfRuOLF%0l0%?;8HaAj;gpv{!TmQv@D1E^=vK|Cf&1pT0v
z;w3A6bitIdaOYF4Ax!vG3)NSj^6{9EkXD2ZC=ucgagkTzO>)=CN2kKhL)dPbe1t2w
zL`eUL{jlaETy~*XWGdlfPQCQ8)*r#M@)rMzmVv3~KH(x<_(U7%DJ_^VE(<Pwti_T6
z4UprNPr1GR@~Ji$Qz@Tm8K$ZD`>;w=A?~o|fb*Yee#mw6Gp?27!&+aHIoE~x^kFR+
z`EDK7`pax%r;g4gWgUP*e=E!U`sb|a_UD{?k1sg2>I-d*lDPZ`yCe6AHVRdJb%YDj
z@Jnqdre63`8-lm<Uuvm%i~UOLhqpO+lZ~<7lxg`{<6!PlEwS3T(Ya-&i@7@zZBk)#
zh(4x8!#`hP1Ijz9d87RFqgp23K0m7U#9PoYZ4lmY)FE)+F)bZ$K3{8vczagfZhg(B
zWmd2;TPn0H*#z)Nx(DvjVvlQy(mnB9kvZSusqUOhnh&f!jwfS@aO^mD^7L=CJSo@{
z0%==3@`M(%`~)^?uWz+vN$CW;4xpvE-;!tG*tc4d#FHWU1-B3wenOjw_!lR%8F)+i
z4v%#c;id0ngOIoQ@42Ba{hmh+zmuFb4i{LS<v(bzNOi_Q@y-uClr=eJjuE|JZEsN%
zoTpfSv(vcI#R2HFmWa34Pjj2Rep*YwRJ}7=k~_Dw=;`qH8Em>GXS7HpY&nA`i-~am
zjMfWp9nZ2qm!4&#Zl2Y;O9L7J#)wv>;UXBuoYU$_v_52JiZIxCPHT&@7tZn66Mdd*
z276v4e0>3XTlEX*vO5QGEZu*e2cR40c`z7sK^rFZ7=07DsZOIWYCR?13Zi$QcNbpd
zK6Cn_mM?MKz#APMUx{DAcdgG}(z-}eJ6RzYFKK-x&>rG`#UCdyTg7EOX9&28=5UDT
zy33loWNHqFu4>^H6FJQLiZ)2LlKR|A=3T^>jd54-p#7CAT3sm?C&v`bENJ<6ID*}}
z!tJN#k6Ite(8eghk6h#Df7GU+=FFdXDmnI(*;taKiFYud7XJAOO=M>+xysJkcU2oF
zl{JEZD>y1LThE`hR;a4@XKj#K0v<Ba6i><F_6yg0$}d`q<cOEHcwEET0z)~gqxi4C
zXyeGBYvzp7%JAMbZVZin)h0^WrqVwcmMP%oHMDT#msp)Ahhu~VMQQrlJ91rVCi4bg
z*P2Nu#*h=2U&H1w>N+0WB*N0`vWZ=nL)H!MvTxqt#(3j~)=OsG5aPeVgZRvwT$qxZ
zS~nA)HxlQWn}|!G2}J*(R3{(|wm(4QF!VB7lH%d`7aoyt>n2V#AKua$OSCCm3ihl4
zp0~A*riQ|EN;urUsf9=li?T3QVa;u`jl@Fy8}3!%quXrC<J(#`mSW@`e5sHKZ{Fc9
zckvFsO-Y2nyIM;*;8h<zWo*_c$hm=5jk~LbAaT}R=Glron7V{F>7Z(3a&yK@&W^vM
z{fYN9A7toxkJ+EOhwm2>VcR`zB;I^}V{aAw#?|zJygBZ3D&szP`?dFZJ#hZM)<YJr
z0jz)5GX#<!Xzk4MB2WWXKEM}uiE#1(dp_!St+`3Q`!kX!K18pvLzn!{Q{B$rxicz%
z@W__`hc;dEw}$9(7~<&j&>S-ALHvuJ!K9$I<cJ3)QVoXu^`73)t2Rb9esD|k;z-8j
zf0|BiL_F1@-k<E`oIlNRwgKdf$B4PTe`@Uv&lXL|89i3|EA){T;zhqs#3g-$ytdHd
z5l`<0kGOSz|A?K{?k{%Tiodwt{``xlt$}}QgT3h2jE3ZUe`{^f8F&8HGUZ^|a5Sua
zj7PdlA8VdSSoxSI<vVyY=u?^QHPxESV9gV4j4W_t`0EcGdMXqQhyOvtzB2bI5mY(H
zj{JvBIq;9^!e;Qw0PoOc86teycNjdq>Zk~{xR<RH)ZP?D&~jj?B4`z{MG>?Ld!mSb
z)s|J^_=zf2?0qpVcPdPd7WE-YV4PK{DjFgCK2^{v#Zwa<%&Lwb<{b>#nxMA4K@&KY
zFBhU4Cb|pJ--~|aX*g(u5VUf-B*X+S`o*UK_j8Cg4xU|La-paSU-)9zIp`47(Qi7$
zRJ`T531c1G8rB!8k&xhxJOS>ar8J@=q*N8vA<`WKTbBl*$6j_9Ns`n7=K5jSR3*vJ
zL(mMD>LF;pSnVNbovL^WT6+xh6vp7&L~6uPJ|Af6g&NO!ibhgn1IYHl=46tn(`I>z
z0g@Om<v4Qhk{6e^rneX?iR~<6HF)1!7-MS_xKyHsLa2|R34WN5FxK!b<%;97kD#@4
zyss$6+b&;0+W=obF$r(8{KQjIbqkp6Px0K|=!R&2VXTF5*+725?=^%=zby9`G(R2p
z7qjrzCqP&;05j%Om|6QkEc5vQK?U;<G_8q;d7H3vvEz3H3R){%2oz771!E_pcy-E$
zb`i&egfZMUhPz{YLSS?NR#|GWh?OF(q-kc<oG)w&Hmj^9D8Kqd$gH0DVAF3FBI=+@
zbU`Eq!P&#?mV}6|QXx*m2h?hCH-sB#hfpy~;t7P;mfHRb6>TMo@3qM@W=NeE6om;|
zb{-64&m>kAizQ<_h(6#G4R@-FObKALL{-rc3afENd?jyKACXq<oKbFULN#!j*;(DR
zur(a2fukG-&CzOULJdI++<i67*3lf+{^U~?I)pQMVYr}u%GGf0rR^dFZ9q#S#5gbd
ziL~rG%WH}@(x_%o`Xjc<Fa<9MYh!oKuPI_t;P0AZj^yYF^M1m>!th$S<U16}t>EuS
zVNB7@VP`Guc{L~qzBC3~d$Sm{90Se*tuX{DYKg&86-FN1S0kjV@lk^2me-=hP?MMv
zjSVp@TBJ*$CCq(<&Ekb<u9xG{f+nH3+B_n?Qd=0q9Tr~2^+`|+7k)&H$VaZPVg#*u
zI@S@iKz^$Z4kz@haAVw1>xy;=C)PEK*bJiU;ZAj6eXNVSb-DZz^@OnuZwe_PI61GY
zXVwM+VF>(#0BY%4Ul?n?mJs)vZ*|yHU-UN4m-u)Kk8|iZ=XjF`NqoG8Df+27-spG>
zZ}b~;ywUL%-ssomc#}s;{JU~Y(dic6=ojU9lZQ!sx`in^-NKtZKAJYot3=I{zaS5X
zmm7#^Tw!c$Agc2*-2y(PTfm2O3;2v~As^8#;1jw9d_cF550@6Q{R`Oq1#JC7Hhuxy
zzJN_%z?Lsy!xymK3)t+1Z1n;*dI8(KAn#ZVTDg!-UdR?NV1pM<o6rtFp)g_6v$*jM
zhY1a_tMNx{5@2IP(ZDCMZ<Q)|q=K?}9pE%ltJx9U#pR_S$AY4=c`#?27VVp7BV+Vd
zEH=oC@!0o&*ro-!5W7gCZz2+R#ELL`PTh&t){gXo&_-gUJ?~zWcYibQi`%u9F6#S8
z^^wg4hTAm~P3+1tB&~EXX5FE&sB5S7le8Bai*|N+AOyC+f#=jtEy^XEA>iLcwDq+W
zdUzUm^ujJXvx#VLw|6+%TVUF|ewWtDMNyW__vxl0Mo%trb=4?~*4l2<SP54&buHZl
z31i7y*}0#Ra8WbS(GKUsfo7t;9hnSnaU#=>6v5~?k!~;Kj5LVuf%EgpI1z8>d<H_|
zMFTtMvuTj@0uEByhzHu-^enk!4Xlh8_3R4fN-MF+)Ud<POE@b5YYe{_fLoB}!p+Vw
zUos48E~>d3xj<SI+^Ci`7tQUAB~;$(@Speo)mE2M1t-`oe>Dvv`(YUiTZkyThGp=2
z3(?SytbpS!M0<PbR#53ag_<p08`mmn<>;2K@@pi#t)+;xt6eYQ8!bhI9ezu~4O@vi
zcKB@xV{33XKO^9PqmLXx_A+fY%5<=mh_d6`(jXmw-vICJ)2g{N%bgJ0S|r)?DTk@8
zMH{>Do-|17gu-997FF$>@58;;qI0;d(%&by+&B6_SxJ<>{_BV!+9j6RhmC!*BzhYW
zXIFPX!aufg_31|v#^&zMA24t+|5Hhv+g3ESTl{$%Y#V?U(>DxU_`d|v&UMf`25sAk
z*7mwRMuiB5;&!5u)zti3;VS9NcCOWWLS~L|D1Fl)#9o+_l7<aB+zy|X@TvsYDnDm&
zhX&;o6-;t**F{SvRL{Ta=2D(3Ho>Wdx%n=FS0!<Adr`}7!!-#X{TF;g!Z=>nw2B?j
z7K^<#8OxWQDE#b7?n&;YiLQO;frKj(MQuCxLyNmw$fSa-g3+U04E;-zS9ZjV=<5j{
zW@~|6?a%-;DNN6P<XUnC<|QFJ<`gQ=OK&9!4||>hQaXq@uXrmbn3sUcuoJpNWCs!A
z)x46jpD3(qa|hvT*WxR)K_BADL<iwzrv*qFn~g`UK6Y9#<sJ(K9fhYI4zom}?QnI;
zjh|QWw0s|*h&I(o7WM6nwWK^YxiCmS@~;`Uwj^SG#n?MT-E`UaYb4>g%AaI7*4xcx
zaBTnqop3{mG?(%<f`KWbr9Jzma6AQ<vYS&}TQ#1>q=*)F#+IbfW#(uDeLA`J_XI*3
z1>*UzRS~obNn)73qu{V>Oa`U1XlzG1OJn+U7B0T*M)LImzoOu2_d?HfP)5)o*4cF_
z(i`q}7Mb=ztamzEvA>^O^pusv!rkV$!n@E^32^Cp>C)RY9>X8a@jwedyWq;vS8_b;
z;yMKmFa#4tz;gN)L*!W3+88X$HLt7dI5-U6>FPS;kA&a4iXK6>@pmMdeyShz>E`O{
z95~bqSN}D>(VDoFVT?58em4<o_w0BHckC__tmb&I6HfAYcF@A^)Jf@boW0%M)z(6Y
z>LKu*9L@yB+HxvP?;$!{+IDqDZ6|SsVdr@o{^}t**@xn%sXSF6t*2;UiI#T3eu4eb
z9oF=;Ee6gLe6pwOocSEM_Y&FmRoZi;(Z9d3qCNiozgB54lA~M<UtrW0RdfFzv<OH~
zb?qfDONM7sMF)FfmcS>euB)t9AiB5fN~}!Q^z7cElU2OA-O)2=d%KQ8ufc=fBF65S
z*QgxLp<y4_iDWfo_HpfZ>!f*a_7OpL^WKC*eOza=jqrOP(Zb#lHc}p44PTX&gu<?T
zC9HC6ezqrie0G|sZrT1JA-o&-Fiiy8v)e&dM8Lx|*UtA2)JPZU_Hw;Lc@BnW(p}fQ
z??QRH7-468ml(4kI>U9Qc@NSvL^nI*d&D>nHfFdMcQ2gD5CiOtdx>!pq-44-5cb2g
zOwrHIxStq{;8dolW$z4!(&b7xqOWLRcjF;qpJll*9OC+ka6gwZ?-N+iSEShU_=JR>
zgVTLQ8@nG5L(P7!8<!(6s-Nqya8$M`XFu2BvVsQC>fq5|1X~q$w-3%EZTpM1_N>39
ztXIOk{;q1jmkkLwRRQw*9r%F`mpVQr8R`shZGdMbJbi$OwR`IV4;@K%=yEy?9)iCx
z;;)0;dE4E~PW&ky+75JG>i<Fo4Tlx@2E}DmyDlB@#X#4c%B^&GGEg+JE4_<K2Z`SH
z+PX`n|HP`TMsR5}zF*w@u4`HE%R=G06Zb2dl@P#hdbsZC{*WArgIy=aM-oOaHntn`
zI2|q);_QUF>baDq3WN-CZ2}q$8sb_rZZK~+&dN9uN@M<e#qB9MZVquB=Y1e%sH>0s
zGh`bsKs?koeEVmhS8kJ6pkf$ya(vn3THGMW8GuWqM<{1+ub~p=NwU{4*Lkp-q`iW$
z-4)>(kTnfmadw!9w&Rf*5J<Za^9_~DQYCu%2yEL~!(E4$I#ldtc6;heM^p@VohM>Z
z+=Z_R+#P`~&3*}8I&g&Rwk=N5){H^gsu3d4uD^w(C67khw<BDK+}1>M*{imb+>i5-
zyVpn&VAq84Y$LEQ1l-bG7Zn|)%&iwu=D<kTbyz1!TQ?4A_yrPQ@XK;Fp{ry_&Jr>9
zyn49mbc50?5o%{hg<V;$?Kn+}9GHMvd1s57cJ53`>yhnR8~r6bC)?GgK@#4X?Ye*-
zD&e!)uKSJ=7VPcsx~t5#^teOE9O1AAxf|FtYIw^pb>sK3vvOR9-f=7zYNJ=Gg`APt
zst)D|UrX6qLeN%spE0?W+cdajFnR_|n(Cr{inIzn?hbuMxlY#8B#j$c=_uDmHq($B
zjfeiHN4c&BW>wNcvL;L$H7aMyn5^bwtbCzaHX4a-u)4ig=0WB-94+ULcHOAHAeHSN
z?K;4{Bw=pkw?>OV%K>*uciem|4t{1O%z|s>Ak2+&qnBF4We6*^RJpA7bP1z(-Gio#
z`Ip<4OCl@u8tdB1S3>+)5ohMSd=zFpZ>)$l0cb+Vmt#dU3n?U|#yHW)?vD-Rk4m0f
z#DhJ@<+N%G#OI>VZjQ4pa<b8{P!Hc++Li5+_Of4o_)`n5TqPYNb{Oy4ik+})yr^qT
zy8I2+y)?ik!O!EZg*(IhrCx3#9VS>!glUH)jhogV<3&(dK|a2iE*SH)*$|lP6Ul`g
z)jUmN_^^bfgRzW8VVHJ=N^S1@7&!`)b483XP4bswkF&kFzF&wZ!(}Dmu>P?Y?r-MI
zEGIJHRIX@c>`x2`OL>0)MCDo21mh>=RDh=m?ogO#wOgj0cBO^+=egu^?%!mq|FQH%
zNpAd<Rj~|Tk;UJaFW=yr>lmh8wLFGhcA}uq$%I(THRiY`IsSOcnlu=`;VNj3iA=lg
zO2Z=v;{!A1pwC?QWP3|cgmp^C_ycP4;q-+Wb695hp;XGP4!<!IYIZv&{w0ZA#Ez=4
zrfViXkwk7+Ur(~y71I<rUVw9-Z@zUz%dn7e_k3%hVAx&4+>r32G-g9$nwO-Z3FZ!+
zVP6U3v}YbCG8`b`mIbcn1T$RQPY&SL9~l@&MEtShs+rt*$_lKNC&M*JGRD~b@wbd4
znbByqu-_r-n=WH=G$a>_UPiZ+2nh^<RfX2u3Wn>zg+h^R^chC#6Vej!vo_u?Dq~^B
zWYO2IGL}?MfYXy*6*Pf*Q$!DA!NV%!GUc)BZVwS^wLhk`fInx6TCjOK23$<|!rLEy
zpCSV7<!nKD%ou3yay@X7XZVZdTSNb;qNP2rcA2y`t_IttS}lw@G5&3;Xk~PKiID2~
zhU&7C+K^L(>p}dij=3IVu8xpaWUX}==|o5re>*3j*C4YCGpQ>aDH2`nKI%%DEQ6?N
zt~z?a$Y~<M?)Fqz^|Yu9w~KIdS?DditJ{m2N?O*LUO40}n!9)*4gP!{Ey6GHgt_3E
z@bYw#Z8s;A6m21MsuFu>a8nFybSXmrOnDIU#|#nUX;EOxWIO{r_%udXZJQw)+EorB
zm3!dl8KQ$RO`U+~DX2f;c^s1H`#t~m(g^ZWUD6g2`Y#8LAZ3T(^O@GZfc=^co=*#m
z5ad&s6OcX?)rUWg4JX-OxVF-9<i<Y6NX@e2NM*%9c=WVLv^zW(9P`j=XkY{sANDp6
zH(6#P=+9WIL`DkWn`cB%yWRrQdto3nnT54sSVpIQQ!?RTGi-og&cYq(lMSl3pS>oh
zRZ?qP<ykuoS-ob9WV`;Er2p1H7(Uyzq0EA+&!OEI3Q^;~?4AR6XImR1wtF7be^#`#
zaw?vIIn8`lB-#7e3zU;G$mnA`gGEyplV37gL<0<xaA{tPpzj<p(B2jnktQE_e~xv6
z#6~Ozt=QH1rI1=I`rAcINwg~L{1>AR4~s<?d%Z1(9&^QTdq-YQqO}eC%kWDG^FpzC
z;dhL@;1+(&$SVAjXRz5+o#$GyufxE3BFnDsbyC;FQiofcFVvb4RaFEpe@=MYO<7A-
z(b<l?0pp$%qwM8+gS54UQ~zSz0P!=i7Ok%#xekk)AoqFE!Cpt3NKI$6j&iEw?%&?5
zw$KP*p0BXaw?pC!BH3=qc2bcBi(hbM+yxacShEd_?grl%MS?x|-6T51%>8Z+(a@!Z
zI5Xw@$L%j#?@(CL2XY?78P$A;!tjR@#>w7XSTKB0!jtA(FL@aLSi)Q9Tkj7T{*2)8
zh$%VwV=CV=QRGVA5i&LjhYFazNQ5uHs`{C(V)9XV<t5SGs5C|@WDXBsvX+Vre=FhM
z3#=Z+@b?n-c^MB0D1gO9`6)>}hKnumjH+Dwu;f`uthvxS&SLn2gmV{KYYT=iTil^=
zV4=0ZVA@ZT7PlC)dA!i_F4OQVi55M)m_At(hu|gnr6U(3@l=U8c*nbNkyQySeM{1K
z<9&3IRTE6RD`{AA^Gy!J_a)r#WouW$@E;Oh^RjjR$?zlB4Co6-=D7pYA4__CiHI~h
z?s2&A67D<-@KZ=ebLM|;5Lm;w&nPXiMiz$MVe%4;(b+!%qbVNN6%l61ndl{n%@$i#
z%CN75J7%HG+{M<`mT3X5w6Gxi%Sq-4Hk8gsY5V|@86Lv4Fe}3V*nY!WhBB=>(L#&k
zupAW8(vHfLfR_^QJ_Tc@O&r@bzi0~nUkZ|BlncJhoscjgfww7n-wi<SE7&6&aF|XW
z?Yb(dcPgp8Af-J{B{dBf5{B$g8vVqKR-KjP0hMI#X|&X=q|U%R4PmY?>TQ+Ok1DBL
zMye!>D&u!bv?)`I_!m>*SfXd)g{2}YiXY2L+$QFX8at6Al1e<rkIm<QEi23Wdk}oG
zRE+ie2esp`t@1k4&)*ejQ!1iEy$4ecdH*6!Diw8=0MJWCq8TIfU8$($NuEURkioF)
zAZ|m_UJ<@H^2(SYdRg8f4GylCgz7;Irw~k+m&!`&LEvia^-EsCjRO<A5V1=dBpWh*
zAybQ{<mQhzRCXtF_cU0)8CBkSRn#!^;)tMLX>j2^NeG9eG7;#_I{T1NA1Hnm-`+5g
zK|n?t?A#-n>q@?U1owj|U8G6AfdmXpg9A=e=}uj^N#-F$8v=)P(M}eNV|?g>#ljbo
zAK|i~U>VA-*>2jAMIu?SqfE4g4;y<0`Wl5AMffPfQ)Rwm2^gCO0XtAWe;KY{la>iD
znePOmO`yWmB>hbw;GPhEc~22c7tB4?miq;imP+%9BR>s)gKH}7u-q)nWTH)m^yQ+j
z%%zBcA_Cg$OI`~Fzk9;XFK-5+biquzRA!=YUL6Ad_wZOP?-}BF266yLE_OAC`d}Oo
z*XJD&el_GjQ5i*_OZ;@HYzxR_w1wx1_<R~1-$?F9S!1MN#q)_cAB*z|66dZI{-!q<
z5@8|CTY*y&bCwWLViX)X1K^((c+AMOr9@k5)G*U}ti;iiX|ECu1A&q@$Q+`iYnBnb
z47RMqIfwZ;-e*M`Z2uJbvR@be?lP+768yakKgvl6^nA@M)EW|BlLnW{C3isZgt0|A
zcrd}b))RHTO&3(WW>(T$M0*P^y@oG&nE7o2-Zq*EXM;b+t14-miG~qBY`jTxR4dGx
zg8zM2G<J%a;WpyK2q5mG#21l|e~X7qCc{o*pbORze)fWTE3ySaeZ0u5%88>q4Te*n
zL|UYT_YjQXL0r&)HM~z{vpEpxeWMQ}AuQ1F7cDjRk<>o$S}nRtH3tYdU}z_9C|NB$
zWL11bw2xrzYO`a1O2DUS@CuCr$Xs9Q_?%#j`{Dl1I<B=9{!+)6MEjCjYy@0fQ#p8X
zq|Y%7bvuBnkPt3a9VhnV+?X0d+*&;8<1(Ef_yogA5;;l8Np8Fijh8OWd7ALkMh&B0
zKX|+rPmGy%j%eo$85!%t_(j4m+GK)9<xI^rYv>A5uNYEtE@i2!gkMbqWj)3|UtfoB
zrWw9Q@HK{8NaO|~H@J_+OXM~ow~Z=dBR8(cQ%aV<N3?s~Vp>Y%0U-}6UF8Q2-@sF8
z=6*=Dhs@m=^54KP9ESfQ_^&kR_!io><qbUEXZQ)hPuP-JxcP?Z7lq!tDd|>S_(SZQ
z!bjGhAR5N=yeV2pz?}eh0^<BJdW7|Q5$0uA@QbCumuS9lXq|`+9gRPq%$hzHBam1u
zfJhk0^9JtJC%k3m7)&U}@VqHvL-6O6HvTZ8U>FbbSH<5uW{u4sJ7qi`xw5kAM8seo
z5+h<|HW5ULfW!?VQ5K;V0kt4~E#|vzg9wpmZ9;3qy3Mks`oZrTgr9N=+Pr~>OYJra
zZ^_nx*cxzo!p2Q0n3Oej^f<$WMnq~<=>|V|Z=>*)VoizG6e>1~I0?iP5HI~gztyDw
zDKzx7BvMNo3EgIp+7PLYEG0?N&pu`O6NrMp<fHNvg=2fzGf70j5B4Ahnr#xEaz0Ha
zlrB6qWUdo20hJ}`OvKL8)A%EO%w^29NrgsE-H3=^-J+b3m^ZZm4`eu}o<!*hli!gp
z^n|&a@wCGra%@j;@ZVu0`q-8c=_H)~Z#qTx1WWCGiGeO?adSY6BS}B1z{y*-?*YUy
zpt1tk03ZAKH<&mE!?4XFK~}>s0)|nox0O0Lj%Q@LT$Chl72)>LC5O0k(qZnaIBF3Q
zT79Dh`AGZ55OEC5-6A?l-Qx)u4@b6$bg4U!04yV~qEOtJ;U*D`@jN_!vexZeg_o?R
zLZZ<H3yopjTSOc@+A6|i22+VR6~ecPZZd=E1WZqtv-ZJlm9sWS^E^#WDgqF%Cgo=n
z`)msh0RQdg*k4SfV%Yu;u7f&m7ZK7L4&k8-T9XWiwu=NPZSLh}t`c7)p%)GJ%-M-~
z;p)s2*5d!Y7(QA+91EzDJ4q8>Cg5clzC-krz!CzMzy~`-e+j%oz$?^SBY<_%x=NZ;
zMkKnRIca20JT!jSt(No!5E0U$Bdr@Q?lh-)j^4p9eeA^7AlztI6W{7|T3<wf-!8Pb
z*DkZOuOr$z$lhg6b#D^zW;!fAjLbWBnFA|_>ufaqz8%GbnpTcK{~?+Gq(kAyXb2Ij
zH?_^kTZu{+EJHmiLm27xf|2i-Rk4FOc2KWsE<M75I`2^37%LSH$a&Yu!LM8dNj?t0
zc@I+Fpn{d-W-q<mTq|?H&0bmaOj=rw@4(p~9AdLSUG6uScC1{uOO1!flta|@BjD@Z
zm1_<TnfWB076vupNjYw3(|4Oz9448=FmX3-dpUz61RP0+zz+=OV7ot#67?u|218Z-
zcSV4#?+T*Pg?+_~rMNvJ&}@DjJ@YM#Hj!Z?oZt5(^}PXm3>Lw%ET;%QMV%)CP)n>t
z&k}l;Ix(ZcuoZ)Dq}>;Ygt0T&O_L>ZnGg(}!IIR0D5t6UCxU;X(UWxq!9=I<z?mec
z9M`LuRgis1xlYX2dAu?FbBhp+nBfKQ&JRSeSw4=B!MGXpax+``?i2rghC4~S{vhNJ
z9%s5^zBhIY{Dt0oxT@ST*j#--CKe2RVO`taH%+fX?-r}T-H*_8%sK@Adf(g`X++W>
z-~-WCy2_0JH|XHRv&%d03m-QQHopYJ_MmwPctfLKG(V%``w+7a?4-X~iQ6lD%~^q?
zTm12t@Ter}L;RbX4tq^of=DFDMrw17B44;pLx~oeA-8Y`_lkPbq-q4?FW&Zw_7Vsu
zAl#;-`b-aF`x8kdjBLU68^(q06@Fp=TAD`_Lv)7RTM<KWK7OvI&|DYRA#xr3$b>AB
zpS@D+6Rmy*?0Cn}jUV3-{<3mni56?9#Xr>v!x}pDKDLaE{rJBZ!!b}+njS}daghEA
z>PM0XMC})zlGK7oEuet1Mv}2nXiaGA47np<WlQ&){k<L0+QF9n=A4sAK%$-brI99c
zN1}Cvr~{&n%&!vx7~!&4=H~`|D5ioVT(~y661{7NJT~B*k-?awdJwG#DXR^>2k{jb
zOQaH-YB--I(hr*DNF!RB;XI}-IVh@1OEQU;NzKUE0QV=Le+K0265(Mvg@scJW@e3@
zY%Dnj5pfW#J0v0k@TcPjI+W0%@DB~)*@w)bZ3LksEL8YmEDD>NO@wSx5-n{QO~7d8
z3^IaRm~kB8<0^4eK`!CBFz+J~>7Qesv`i#$B5AGZPth!_p@6^w;;fC0V$A_;6uuwh
zgmCdAbM~4>92mUvk-2`ENx)2M3bBy=u@KV4S%l6aw5bH<5HN>;Xy`rKT$IiubRIQf
zV^R770WUzrC!&Frdx?OTs1Y`i6}O0hMcjHLpg#WFkK|iS@M5ZE+~(ntfkaCQEtO3e
z|M|x_FVYFssgx0cGWvuIzntLZQpHO+XG;|;30(=>KE)G%W_z80*E3+=7VKK-pW$@v
z_nD|6=ZCdKqYKUt?P)Hp3hO?@1Bo4BYN)Y@e1ll%f-G$;mfAA24Mf}^yL8@Rd~a{m
z%O=7%$@Y&p|LES!9F?~aaZ85W;v==X)U}=9?Xcu9#=f%Qy9n52^!xLN&Hk~Q;N8?}
zVx*vx04Fs0T(oxM2#~#y`?-ksr)N9~JT!!DPlS1&WAP4tF6sv{*M1VC3l=Ov5(B;v
zb-kH*h=_+E`3sREflmnd1WLXTouv3-0_ehiF?9z(+7yQu)XWtglI;kw(FNIBStbO)
zioZ2~A9=8Qlvs|!q$8ran>@>f4M#*1PkKiCzZn8&j^M(DNhgRGgH@uw#OQ2BP7-pG
zk+%N0w_)%!fu{`+V^A18N8mXF#6g+Civ(WGfW)svid1-okSiI`v_dq*a1vT9Fy~dm
zuj0=Yzrr8wF>;NNYZ(x66wf;txk1Pc=4lAEdQy}J<F^UFZQ!L}%D*cLkTUm(c8|?!
zNPk!qB;f}HKgfXeW1>wED|tu=UC@<raOsGM0iR5I^~2P^i29c_oBppTSgLtK@RJOP
z{2JfAGNVE-kLZGG@OSg1COjYa(o7UY6tMYg(M)o?6F?WPKj!wUz#TAidlAtKnpB7+
z$?Z!3U64Cg>Rwxczp7#G03rrtQf)Sba}^>$DhVby7#>z&^OX@I(DJy5_n>F2ehnra
z7u~#NkO;BXfc?j@rO1PO`2DzO;z7^I>IIFy!RE=7Xkw)cT7uuZKP~XfK_aAD-i)T^
zzp|I{Z+-LX5Mv!!cS*z&2l#x8zF-ygiBjLBM1~jwu>{ivHRBgMrRG}D_yX?0Sgr{%
z&;=Rr%SDo*fuzL|jV?%wXByl&A^dRMU{Q_*X#rcV;NXn7f5g9xZB62ILGf0Wc!;#O
z9TD4s|97IT%q)=rx*&I3c;zxK>N<QU+{6Cuf{w)35!QT%=N)WDCjvSV5DWg_<GP$t
z4)o{>1t%pM@Lzg*kXR3x{k`ZSB{--f6`ov>5`Lha6rs|#G~%TT+eS`;J|}U~=A1Z&
zBa?FKDuMpQ-5(UJBuM-LUwIk+;>e6aP<&3}^(FUE;vNe5Kj6Na^>NI_2q}K*6o%jY
zcQeQ)nQRzwO0=(v)ZF~(cqWSr0G1z3#L-0TE){ab#W>h;N@PeNmpF1Eg-VJ!;414h
zo|~}nL?Y1zOWIP_S=3qK@1Hlr(9U5N1+eurHglGkLK0J?qlxvu4Vp$A(=3karaw5M
zVkWFUBhsX*S;RO?)&Q!Ck?0&k=Rn$7(NY5Q2$%<p&*C7#CUC$6UC?O!pAf2^o#$~0
zxAUCv{vW*e63M?L9c=Q2nno=m;v%Y~Oqtta0v1z&V@YeZN>^}*M5%NmQ6T?3E<M;H
zorH8M8Vl8tC<jI?hYRP$APKA_ww0tIT>>2I@H(uzAO=fdEpe<Rm-LZk<@g1<U|I1?
zo>bPk7e!;qy@9wlP+N+HT9<M0@asi$eAq;!O;qR}QqdLy=u+9HS)|c>!mF~39Hg+F
zhLv7YY!`{q1;v`n{821W=Ff2nyQxoc{{G;563-ggBTkZY%E5yE>?v3_)(;4#3#w~H
zy}k}Sei64wEb}1|KZNKj_?C=;g9Ol}GV`TZ%*;O~;>VOjXDR*}0iVI2S8xE9??xg1
zN1UqZ83*8E{41VcL>vVq`0zIr@{W?gQF#2LNDpFx3IgbY`E_6ZE0)T4fv6>E-x7^3
zNK0ax_3utN__Fx-#6lNjNibOggC+445$S@&7EHwda`G~WXNgD`Bz9!t>?jH*W3?BE
zcp(#RTosAZmdk|D#bT!j1xfpfXmmkZBCGOVBtj(Z7oyPxX|0(igA+KL>qNYsNlxnM
z!^kZ{ZejS*H4(RLjfN+e4BsV~E~tfy*$6)sCIV#+_lZUqq;+80&KMD52>wAtx*##x
zBziAj;_D;xdqng{oL`DW9ux976CPa??YuejD)gGZ3Uv4tKMf>bal_1CMKce2#!B7<
zJATDsk16iN>JDDlMM@9@UIfqu^G|}n>!NM-EcptA$-YFU3zG5W)pgObD*wKii2+2U
zi%Dz|XcG-4Dt;66hDeZEg%Lm(Gpo8Be;^I3PQ>c)?G60u%{TDyhG^|iAG$^J_YGx<
z(U5&hbc4@tiXi_9Ig@fH78T^@=H!>*hdv-68o#-9;1<3nMDjup`Z6yHegs2qiFEuo
zj{n>e+wnH|w)h5bjqZrOc>DQ|cwIRUFWeQ~1Lz|sDDZ>Ksbw?h)4@>-9^J*A`*{ew
zhaVw253k%4FW`U9g#9LxJn3sF$bWSx4F3(kD|H&S{U%=Yq;LNsdSfWGzmMNpIt`2O
zi+Avr{6GNSet003E8j!G@8V^D`hW_uK9L!=hRJ{6;YjlDB2dGRt3aneFvsuVqd&wx
z{L7Z&hhmureQE^-d?4aa{5TP%N}9pCPFfti|EHLNT=9?a8$Op|vbUof{PqYxJ98P5
z{}LPU*1^v)1qT0(pTW8eyZ#n$;%&fVQG&P2kHsSV1DHuq!~_rehzn-W9L_xvoe+%r
z2R~}{EzJ5yWZ~`1KjIbT)UrvA*k$V+13l<dFUZ_w*%L=+<rH*M98>YOM{z8~Te9jX
z#@j*FF$QmSHAh3wWf49K{#6-<Kc#7oH02De)*Q1v=u0uEWh6ukM^pT)d4_N#`_p%0
z5F9g%D}4y;bl?|U-xrP)<qG^I92-5ZNQON4kHgUl!3z$@V7#?;bBx3rxH;ZZE<mEY
z13c)XGpK4dS{Vih{T%L)=81nv?C#;HiY&D}90hn=>fxA#x5pli*={6If^p4L@XLm;
zc{)ZB?&){|Z_jx-X5$T=+!z{pJG$aCdU^rg(8<Y=;NuwX&eARM<MBR@nou|gKkRed
z$FV{xZ4DW7v^KEO*8wPlHS!7myMyNMSl~~e#6ct9k>yQ+U4D)_u;1TN3mMM)JJ#ZD
zP5_qaB*X+d=DQJlNjsSLGJb*c^g_(zTA*W%L@~zjWvv~27UalKjzQI6N9_jmp&eBI
zl~f+qjAK`tP8t)Fn?JQEXX3=1qFj2ja}08V9Z4v(R^HA9JKB+o5JwvYL;Qmsb*g%!
zEQ_FY8Gi-`^<EwZi$c)Si?BJw(FJd}LmYka)+yAnPPqzKLLG-Z>FYkodVd&f3v={v
zqa^;;HDx`1-!HJLV=S`GsEQ4x0?t--v@E8N03o+JoN9ksiC0d3L4IZY4F=udAVHT2
z3G>VH92jPk=f<%%n4+K?zA!C-Qgq=|Fr|2lo`CO1kvYr+m|V?F6=Sds(`%RrhuNS&
zgauH14FZuCKoK<vL|Fhu(jZXV0w{b2fjSmI;WG%-vj7U5L7=#Sg;3-SBC!@g;W7v`
zwg8HhL7=GxP;?9eaTY*fF$grb01Asiprr*+EDQpz4WL*?z#!7rVxg!P1QINOLR}C@
zv;YcqL7;;LP=E^p$reCCEeLe7019eBpo;}i1k3!g;=FDaLa{5z(!&BMUIl?(7C><-
z2=ul9ic>)#%>pPm1%V6;cvS*@Er4QCkfXl@DDaGeQ4kquv8<B7U<;rC6yz9c0TgqB
zz;FwoKobN;S^x!_AdqbV6kUSAC<~x4lKI7Dd1EYuLPn5foCQ#r2m%u<fC5Ai$g=<n
z3_)O`1yC>u0{Ip|!5|0}S^!0WATWi2V(fkx{lQ3)#X`X!$THmmDB=TwnHE5y9tb>R
z0Tkqcz-$Yk@D2p#SO7(LATZYgD6FFxk>@Ogf;kX)!2&3X1A+M#K!F<wEU*BI*g#;B
z1yHO80woqep&AG*u>gwHK%kTW{>T`HW-#)q#X{j3$Wmqj6qA9#atokn3<OqK0L5V-
z@R|is1O@`HTL6V!Ah5;)Fzlk3kaZS9K^F+TVF46rfxuf95Fmk#7C@mD$g#-+D53&^
z%@#mW6bNj!01BQ!U^@cEa*(9x2}E{UEEG6_z&jRDR|2~&fMO<)V~+(;qyz%*SpbDc
zAn<_&P<R9a`z)YkI`%(A_FD+WLLhL^0w@FmfsZVJA|DX=!~!VZ0fEmffC3#5_}l_0
zxB-D97C<o#2z)gd{VyFrfeeTovsfr{0f7n&pdbYVzOeubOhDj-1yCFU0^eHz#UUW@
zg9T6=0s^NkActPbBXZV4DBu8r^A<n>2MAoW017xj;Iai!r~v{$S^$L>AaK<JD5d~`
zUo3!P3J~~pFpYmaO;RucA~!4+iX%YamIWB5-mw6R89<JE7C@l_2;8>-iVQ&DcMG7%
z00bUdKrw{|Ao9pUC^P_pzb$}b0T6g%0Tcv)KovYRm$uXEe*{zupx6Hh2n(Qh{s_4J
ze{G$4V3fuA$Ge-|caQho5FmFpcfw^L36~I&OH|;^0zoVgj}Rch?k^-UB!Z{}%Pk88
zK}M@60t#NJ6<sSWmkL@BOiQh(h^s(7S_D)CwD$LXX7+suZU5QX`OGuNJMUb(-*?_&
zK$<^*yM+nK{UBZjB=G|n3`o!ih-W||K0pEk67c~#F(45iAdvyd_W;QjXbF*O50Yw;
z5NY)Q=?qAq2k<i>WgZ}l0m<<IISfdS2gqYU3Oqmo15(@pTDmYHr5&Uj1Jc+5dN3e$
z9iWH-3F`p87?7L}P{M%Jbb#IrNJj_g8w2QnUn<g{O-Mb5$p8i<o&%IIAkiFP5Cf9S
z0R}T5wH#n5gNq6bXFy^(tv^OEA)Op?u46#zIKW5-q>clOX5dkvoB>JVuo%ODv~YlN
z3`hY77_R{JKhnKHCa?)9-T=R5K#DiOBnDXuR5Bo48x}V+ASD~%Rt6+r159B+nl-II
zrZVZNOr|p+xf*e1Fd&f{U={<?rvX9?NR$SsWk8}dKpg{8q5&Etkn0bUqCpzjgtTXX
zCI%!p1KiGlv}S;L3`k%Gn9qPzWq`XFkg5!@fB`AVwEkGggj8gJ-!LEn8DKF35{?0u
zG9cj?U^xR)i~;UtKvFS4m;uSe0ILb8^#^IhAgyfDsK9*;NF#>DdIqEs18iVG@-V;y
z3>GNxTLz>I!{T8EP=@9D;}Iq#4Z~y;1CoXTHZvem7+@;{(t`n>U_eqZz;*^C0s}n7
zfb?I0X8>aB4-$YucCZNvz5vfNAbA(ycMM3^1=z`e1YLla8IXtz@CpNxZvkFq@WME?
z{`dnEQf^_gn*k}e0DB22<yL{$EFgbRzG3;KS_}Jw3`nL0c#8qav;c2QAlpAlv>@-Y
z35l@)hZvCl3eZMC3U#!X2H>y-WGOzde2`yd@P`aYf`$D@3`l+jX!(Q*X|EukG9cX*
z;4=m!y8?X9fb>>?;|xe{1vtro)K-8m8Ia5h@O2De{3mf0<R5H8vMRtS1|+BgoMu2m
zD!^F=B%uO)&w#{JfO8B;H3c}&fCN(-|1UBjsT3wZGw><!3xfm&euY2r)NSZ2LD<t+
zGoz-lrfwS4D7roE0aCP+z0yrp0!|CeYN5Y1T$VSKuEIS8<bVIP?Fkl!1>}8>w|r7P
zMQ{QGl1c$OF(8E$Advydq5#PX(ELL>C`c-slqitSppOE62BdEyN)`hWHUV-NkfsTc
z$AA<}fC2`?31I%|!i3aIm~>-6Y9&Aq2BcO36fq!q5}+4@3I$3SkS+;}-V8{P1n4V)
z?0=Pt^k)+iBVjUt0ZESlWeiAe1Q^7C<VJwO3`lMS7|MY3MS$T9NK~ZxX9N>c6#=ee
zKq4Z*NCu=H0*q!r>LEZm0}>7a#xNk^5MUew(hLE{6KIjGjI=?J32Z`oAi%E~kRAvy
zi9xFZl?>J?a5Dqa{Sf6=2BiA|Okn`sPtHG6nUL@Ylj#gd^8=W{fW$t4Sqw<x0|+r7
zbq}DH0jYTabqq+z184wfQQeFrJdj2<A>j_7i2<o~0Jk$BnGRqc15)S!<})B^4&W{Z
zB+UUVARuL&KUJvt=N^m5?!CzJNofudmN0l<rLc?vNpY}P!GMG}fRzkLYy()ufCM&x
zH4@17PtqF5S~ek34PYGuQqlnKXF&29fM7tn8Nh=KNHzm_hyiJ302>*QKt}EVQ6{8{
z0X)Wlv@n1z3`hzCc$@(#VF23*NQsIzdjdRV0a>NbSiTU+VF=z41DJnE3IlnbO-TF#
z_#Fchya0AGAfXH3Wd@{i0ldP1#4UhV36QE4+J$cbyDcD#wYQSSUlOlE`&9Vr6t2`P
zSRb%_p@S;;PYm8x;5`P16!<fPzbNnl0g}5ye^cNi3s4bSLZ4XP&`}ls8H1<-#|e-C
z7CNE8mllv0@iqBK2@8Frf=^jM2A{Tkp))G@dj>yLs{VhT$pvNdGXYY}LjO|WSI{#g
zkV)DtUnmaWP)`~ImjYe_q?v_u1>!9r6G*Upp_Yy+JdsI~0;vqr6!0_1R3L{zt^x%N
z3Ki(apt}M^40<Y1(n5rkxKODgeJvmh+TZepu2jKg46agOFoPiq3@1QxUFaGGuCstl
zairx7jiO-8zvWB<L@-k@s8C=6gBul?#9*=lHxnRrFLa9nQ!F4eok~8^`9jlF@C*yI
z$naU@C7CZ2RN=K2kim79FI2CB8yU<|;C2Rc6_`)p7^Qfp0t+l4Q(S2IT0-}z@WmDh
zEm2@OgB1#d8LU#EmBCsC)-$+Yfd?2osKCPvHY(7viOFM%Y-RAc0^1opslYP~o>ky^
z0;Cg$UQl4C1?0uPZ23YF75plLUA+|9&18=P`x(5ZzyS%wv%Q^#>Ylw%faJzdo3c2}
z;I9gN$l!<qpD;M8z-I*L$lFj<f#VjC1wU!|LVs7mUrQk8tZx)K#U|e>aFzgRj-l@q
zIA;Nw<ax^%x}bu8X7Dcseg!2`p7as2;TyVx!vd55y*)te>gx<ZOz+s=*=yago81PC
z-oncO=!8~9#U1^ey626{*)C%HFJt#r%E-Ig!-1ZI>^(EU*(<5EcU4KR25jd?HoGqi
zT32$5hcbWtGMZG{|5AiMUKS)qU+FYF`z~jzh`o6^d!N|vFJno)`(8@+)&B@;m*auU
zg2aOZkka1vtXLc!fSTCTo|Sq2(B50TZuQM>@qYuII<)h-1D$<les>G*$~pS@Gktta
zAD`040s1&jABX7U9s2kyef*t1zNU|V(#MDNahg8fqL0_;BZ`mKsbSaj+8K0oF{(Gx
zvCQdp;8_v>VCNNh1Z3o3XBRxkQ9sz3g~u~i4|euYPh#{Gr!P2q;?a%2h*N`|rFiNg
zXNa>Hk2#DRf_PtuyM{m{KPDa?f(TN;&l6{+;bqtF#XB{`!YlEHILmPcBE57&PR?*>
z3WY<{9-Plb<xpouAx#bN(RdDrMp!sBQo^C(jo#TYUc5ilS=3>|tvK7aS&jn;JQ>l4
zIs5mt1;y|>XFi-6b<SKk%a!v~owEqOztuT&9Q6OcsIPOTs&8xY%@&Q6)H|o=c!NmP
z9Apkzwtijlf=u!AK4)h{JG91G2FKfqX9$8~WGf!#2#UF_&Ku-wF2W@^9~j$jTJh9H
zG!nPg`A#u{-{0#T1jn}z4|W8_*nQ4x44L?H^J6?6)K}z|IQpyXj+);hyZTjGR(1*d
zoh67fY`@H|Wj}gfP`ta}*~=b{TUY!*jySbb^Q){?I_<t^Tkm3U*@`KT>~+s>>?q&7
z5c$Vz&hGA6vJk0eHVP4kogeE%66BfP0i1L;A>MB)QIXl3P;7UIME%UGEGujbk!Y|v
z!m_f^^=1H%Hi*-2I}=T+>u?<JTj3lem)XU3n8XUBc)J}bssLmZ`Q#nvP`Zhk7trQ{
zV$=m^0i3!E&hBs?08|xRYi>Y^3IxtDNt6eiAoSb?wAP^La?#lp&X|kN5&5$8Cj*%_
zlohQi9DjZA_L{mm!|LW#H_aa__X)2neZ8|d)DIiF=$sVnX8G)*vryG_%DP|nr#ht^
zBmR8>ohB;A{)BcH6?e|i@*?;D<jhD!PA_!OO4Lm*HzzJzFV-e#-Bl?kn@uQX?z(+#
z$!S%*=cg)GtGAo?A~Xr1Nn$$UAl=moT9L{-pCXC7_r}HBQ7b1Cv<C+wtA(SrY&e@n
zYgusijMk_Vd;!NTuk>{jujMqgWO*<GLVB259-M%38cb=vUil)XR*0~prbe~pEJyx9
zQCzNFQ%Fe#mf8YgtJZvh`r4Xl&9&8yBdVLwa%A61DA%%7-`Zzt87O<lfYw=Wx6zzH
zs`&RXhf@V+!YK}De&wWSYTq{@oNbDO9Ke?bv}~2;MpH`zXmPocBS!+7nW8GRuX!b^
z%rEvG!jp0vuXT7(=CL(e9~C;qY(!{=4E0pextdhf;+Yz)FYKZ<8jTzsW@y)|DsG=l
zG=f_?-jDG2exvnM$z5$;i{yIHQGOYs$0DsGLI*9<sMpS3WEo8}Yot-fzr^K;oX_KQ
zJ97MZkv14s>5DZQ9VRZ;`oLMaSi1q2bZoJv4%b4;9LXi?G@P&UqSu<MA{G-UK?@Mi
zEYXTF@O-jFTjYQ{<zDT*Zb-EFMJ+bu3^Q9$ke;IAMw{OnV|Ki#U8k<)e)DsLVk3;{
zxDwF@?9?WrEUi0Hz^Hh4r*^f<Z=i~f!-cbvN%>3K$IfKgvhvMdvI~VBH^>uYqLHh2
zX@92%R2bEIbdolM%+bgrPQLRvD5|4cDuU-nwH!DP!3xfSsBC7ZqZ$=H?Q<<NRSh08
zlKkqxSK7HK#(b`&CrYH#<Cs-*ZfmZVTjL^keXecvA%6O4RlldT!enXaLm#WXqpG<s
z*i?-dJfY*<cUt?*qdI4jS%}WL_o9|99=fQdApVONwIaD6E9~LUNs-Q6)P8o_g7=?t
z(Rh+&bLIN1qRDM>k#d`B2Mokdnrk?m!7f*~G-;85e@tiNVYI6HhMGpaxTBGhLnFp+
zLRm$ADnmG#j!#Y%+x)If#D2r?Duwf--$fObn(3li9h~Xvs(Qi;ephGQi@P&jAq@dv
z=DVmBCl|P~;$@ajc_1p~GrYi+(FI|*j&@O(UOL(p8!RW94al`ntR3x2-f#mp*2=Op
znook}ODamrT^%S{)72Z!DAPrg-#pVbO0|nianW49HC?d*vVG)eWN5i-<V}dSVw;PG
zrDwOf3RO;v&1J|bU99~zcBD02Yja_>fXdq@GwHEiUeKiNGUt`sUDUt+u-!$Iz*pN{
zBamUQCtckzD~e5FTe4VlBZlfvZgj+}lC?|KjY^=IC|lSbvE|UP`Sz2pPv;|@rwZIu
zsqYuKsbbC-xVx+IvekS?>??GqieuYt3Gr&KdoM5=<6bydL?>Ztp^d>l84xJ91)f2O
zczz2?fe6kGPuqOd+g~YkQ>A@V=%z|b@8Z5bo+>!7(;oPv9Z4mNsNqhQ*Sx%on`V*c
zy10AL1)bhz%cN9dbBwLfoujU*UG8)p6S}%jk44(o&UMr9Uo+QDtDa?Z-Biy{&vjGR
z`e3e``qaPYx~YBioad$rtehv|qIquW=X>Y53sm~qqT%bfoLIK4bKU8xtsSHEqmjTJ
z?xh7*gYAMV@QaGuG{3xpUpC5%Eq%nDhV;!xkXtlz$0P2hiSVBK!A<i`$8$2*vUAdR
z%Q;+gP%J(tEB~2uvS3HfxvA~{c+O1|S@Mtay88d<&Qk@+{n4F>0^jzd+wYh6G+y=W
zS@jK7Gpn0o8)WeWCQgIKdQ9y5(W<#jVXJb)CXv;YNmO(@k8(sK=6UxZs=ehY9%=>8
zr+7+zvLmcEpT;%jSJA=H8TmBU%xJES&Cxr|j}WF;&8%svYM50$N3NwrQL3j0Qk<CT
zNuwKa+dvQ1`J)3pROjyu^mI`PZ!~uxa<3{nKpIV^#FHYcu((VXU}BkvDr<h3hpOPg
zG7nltWN(>gbtibo2Bgj0faeNoDDmfQ=^K8sxu`K540wtPZ;>VMY)(f8YS6jtCGRqH
zruji^+4CP3rLmW^{I8f)+s$IwE-gJ0n&U|+R%2(8S-WighAp0C)hg=cT$3V(U5HDi
z9&m6o>LV!5ZuZ35S0~Z2#zA+mbc=;7>u98Ti)XwmT^2FPOr`3@`{?MruQ|1NeI1gE
zK1Efs;b~8bUs`oF`>V;v8^p+7HLZHuENTIfK2LiZY32UJZqywX&$~T^s`)&(+k+b)
zN!;UEtLZX{PG-@v^>ak)8=fQt9C*WXEHg<4WSJq9K&!(3-cnj8i&ww!_*KxI=29!D
zw+#9QLCD8_T;8#+$K@>=t9*6vsj2d)c``Ot#`X+Ho<8mwMfdmzyO$QT>2Y4_w}a!n
zl-f;kUab5gOX9pMZiKhPWN%+p$;)N4EEVJY-cs3a7ESh2YkPdMmsZAYlMxT2=wvT7
zx^9(TYSiN@We&}iUYfZcuk`jo(nk<RZOS&=OKZrhW_$aCHqQ1IQ00k*-hOc2UFhv?
zi@to1H$Y_@v(-y&^R}(tWH`&WdaqC|dWrcMs>F}3(iO)Zx8CoiAAUjc=~gfGtY5Zz
zyJnD{9PT6+U(@QFYwKrEt*Q;y)nl!FC^GbMuOlH_*1O*vg_IKNnrCCKteOKSW)&3E
zUh)>C$z=XV@S(`2m%Mg8Qznu^4I><Hz0>|u5_|S~^HO9I{}p&hpcJW*gniyOvlC@1
zJ<X9w#W}yRz6qP&gW?~b$$E~D;-Zd<UQur*obsqQ1J2kfdU9kz)ca5!t~Y(0o}v0j
z53?U;hUj=b3HZiwI^Cdq#_4p^H;vPK%gPJ5ZGl9ZT116c&vexUXU?MB;wp3+w~H!t
zx{s49bZR0CDs;LHo0acig-&<l>k6I5O!s&hRy1Cx>E@>KdODoj$Lj@h6LUCG?E61Q
zvihDaI$m$bOn6j$I$lq;itoEYuQ$|^E!oUPf#PbLaeIPdb(Nlhw4SQcvsF_bX--D4
zi|Th)z3iIDs`Ns+t2P$ts7RQir*)C~@FhFxjc=@(-aM^lde!V|yt#26MC1r+Z&AFu
z|A}S}l1>QXsExX&;4E4;HOYN2L2;%|R$M~8o+5vXn4`=aVe5l!ePh$C`kD20)z<ht
z$()6Xf45$z*=R<+p4&s_ZNRo&nv(rz{G;N9dRZxds@MIUrHL2Oc<~s!*&Q16f>@9I
z%KRSXNZv5ru4eN|TXkAiEZC}3Z`-j|rv==ht+<~jBImd2bE&sB9FUFSVdcDeK%WGd
zdr*)4WLa*uBFQdvGJ3Xr=QKiB9Mo@x^W{N3_A~Nv8pyGJTC-nIm;J5mO}(q!h>W$)
znOSxm^QSqyaZvqm`WDX7-m5uu%a`wxVqmzdICGn$yNc94yTiivXEf=NZ|V7NWLn#%
zQ%?@J=~p>OMHS=P^o$Jp7Vb2nvA$tU&CJ^1%;4188ufbf!x2RH({*Q^m92BoS$Xqr
zIxCy(g0niUTi!b>tLEFYIt@}O-^psb`a488EN=Qv_ovAW60VyuCpi0t>e&soHI1?4
zRq3AiPM;T#nAvuND*RfzQLe_wYv^ByaE@rBGv&(<>U0Tv?ZyZ=&Nw4iU4qSSWZF?T
z_bjzz5iPUIr5Jhk(Ba71IKv)W5NFXOhc$&f(tT&5(H*7xG||X`BkL$B$#}~^%ExjI
zTCjJ_Gic2d%rkmY>f^4pWr>YGhk;a;{YQDmLo^=TKER+J{-|=^9AJ!xFJquV3*B<%
z+&$2!fbY;igKGcVfkuJ4Q+{#J03%8CDl<F^WQa4uo`IFFyo?MwIX(kT;;>jyW?Z36
z@<ncfqkv2CO_{NYhK=wfqpKRMMw|1{XNFc9iQcN|H8X;Bm`w4Tb&^4osC}|A22RCf
zgGQHy%6V?GF%rJ>lZ`x;N4kh^v1d>oS69jkx>Y$Xl}4<M<%+dW#$Kat)!&zu#w&e%
z{sgs$ivEttl*h|&c+u{qRm8iiQRP?@t~MsXDPJRNdBGZ^622pA4C-T^R$~gBP^&RO
zUQ571W2*RUje(c-EW|6;4!6p>{#UC(E3zxr8Z;75Tx)biAzId6s#Y6LskdseP@P#n
zbd90YjU4iOd$v>7uXtgN5$k7p@+5j$)3x^*y{$`n=|1CL`U`02He&#sJGL1$aE@&=
zXrfKqZuEuWnC(U%%l?7w#v*DG{@q4@)q+Qw6VT{#)k*a&yNy2Tm&ru4Sv<1POZVWb
z-7-J_9@IyyWli5>{4-6(?_~}^d^ChKN0R5#-MsUN5&Pvo!n_#<S#+R%Hr4W}BL=P2
z(mpaqs}x$ybudU3whTua8QlAkK~vCk9~oD}`6qm;8<ie0a@5_&#;0^gl2v^wX*J#)
zwkJ}fX#E)NI9ApJ9~<w|-!$t_$Yg(i!k{_kuP1Py4vSw-7+IEKpOZ#sYJt}qKAP=9
zhL6g5zu}`svB&V`+YU#*Fnp;xyg#S-Xx2+f^<fB!^h@>a&~jrdf}U9C-Mv2Cp#lGL
z%H?81^&GiuKP+$*Ur&4LjL2g@IrrGap0U~$;?Xg#4w0f<--@_MayQ?LQwn4%$!1qn
zNxXUk`lT5`hV?Lqii8!u6m_4jF(--Q6~63lGVCU~m`sSpYc~PO(AnnQ=yx4f`Epd;
zh2}c($O>P&@@+7m5PMhn{Hl*WX}%5H`c=MEb(7vR&!R+l4bb=Y%-9dr9|9d{HIX77
zwZ~yAJ7p2*WDE2om?5fHIx^MI&;ho<5@MO6EguYhoh+Bz0w+O5!fIc-vir&w$flpG
z`NEckcPz&2^6Y_uL~%^o2}c)?j6294!18saFH1$NwFkmvk}ho7j&wa1ag9CjtXQ+s
z*R!XL^L*^bu&=6mdZ<2F*Hnd<&(4n7?zIOFAO-r1R%}|~OSQF$?69wg-0B_6S$$Vo
zXlhfo7`D=vkw(v)g#SmCw~0exUw*m_?ijlx?UxU2!dQhi)h0@CL*P`bLX&C}wX1v?
zDz9Ym?EqggTDeR@RkKTZRP`z|Rjn8q+JtYlFEd42|5wv#iws-s8$&}y>t<w!KaDs0
zXsB;f&Y8_VTEOUAd^Eq6Zt>AzSG~p8M{a};cNV!_9G#KJhxqpa@jevqZ}Fw|rAI@;
zo$%v{{%fkKqIdPR+w>eZVpm;PgMV)km#kAo$!~qBnabB3_NfDNnrh}W(Yv*q);Bj#
G?e+g)t%w%@

diff --git a/dev/.doctrees/explanations/hamiltonians.doctree b/dev/.doctrees/explanations/hamiltonians.doctree
index 1a86bc6581e2a78abe20d3ec5822ea3e206dcc31..a2763751692bc9a0e4f60d4e6c9514caf1158142 100644
GIT binary patch
delta 151
zcmbQaopI)N#tmC7n9K|(Z?`Z6QLiixf~d8YsSrwhvbI$Nm}#W~q&8o+`pm{`Y-Bq5
zfYY_f^PS{C?9B(9IvAmXy^}fJA}1TVdLZ%7L)qsh``dGfJk&4AEzr*_sLW0+%1h0O
TH-VUTZt`k-uFZ2j{s;j86gM}i

delta 151
zcmbQaopI)N#tmC7m`qJ3Z?`Z6QLiixf~d8YsSrwhvbI$Nm}#W~q&8o+`pm{`Xl^n2
zfYY_f^PS{C?9B(9IvAmXy^}fJA}1TVdLZ%7L)qsh``dGfJk&4AEzr*_sLW0+%1h0O
TH-VUTZt`k-uFZ2j{s;j8A~!eL

diff --git a/dev/.doctrees/how-to-guides/entanglement-forging.doctree b/dev/.doctrees/how-to-guides/entanglement-forging.doctree
index a749c17e9c388933393821c0fed39178b2083013..e26ea9c5ff54fa84edc2fe7a40000c368564000b 100644
GIT binary patch
delta 758
zcmeCW!Z_gyBWnZeRMxDGtO0@?hS_<h$rTlulQ#$_Pd*@6iXyOife;5HTx9bGVIc$$
zsA17$eGksbrJ~c|N}#5wO`ap>gdw;&UtEugFC#g>C{-anwIn{jET>@eYDrEkVs{uP
z&y(H94_6xlRy<i&dGqFYMQz5(?;_bJ2PpXBP_Tg!-4<EpcUZ)ZGj4vMc0`w}g^_{5
zrl2U*j%%_)Ob>^-frWvQfu+%8$52^D^T`)uY}Jj8QgsbX6ch~g49!fzOg%k41zi(8
za}zTl*H}TpT+hV7bn?bH-N_$9ovCi3&E(zTMT~nVI|%Dfj*Y-@B44DF4yF^UV{%gR
vONwi;x>J2}cC<Gr9I0;VM#jR)vN8RX1!D|H27Bz347&(Q&Dy*%E|MDnNnGVo

delta 748
zcmbPmg|X`jBWnZe)c=_qSpx()3QWziQcUs<CT|c<o_s*C6h&b30wE4YxX9)W!a@ih
zP{X3h`W~E<OGT%_l|W5Vn><I%2}5vmzPKI}Uw&CmfkJv}Nqk0feo^Y?)smc8#O^Ro
zo+rDHAEq`2qIj~b^5)I)irS2mJrzQ5NN!+6w?S6<9Tu_UjGG^*9ns}#W@KQnDJV*{
z<C?rMwujx!(!$Klz;yDSC|O3c$qAvh>gFb?x&|f+3Wj=yriNgqo}Qk9u8E$xsRfX0
zte{}7XJTM5xjs^T^1V2=$sa?Vsc&dw_&UZtlMNzvqd8D8(n$x?fz>fNDfuPEwOCzQ
qNiBnlz_EWgI+n3uvSLg>n#)KJI#Z4e_Sh*Ib`exCZu7l3BW?g|IO3ZC

diff --git a/dev/.doctrees/how-to-guides/fermion-operator.doctree b/dev/.doctrees/how-to-guides/fermion-operator.doctree
index a3887c16882009625df3377f11c9f1e92a9b711d..2f23ef85d7cbb46d573adbb0bff3875fec73a19e 100644
GIT binary patch
delta 2281
zcmcJQOH30{6o$o=Dy5xvm_DXOTP%f&ZD9(QPFuyOAXR~mLKK70g4#kQ7TKr~jA&el
zsEt1+%1U;|C)mV<m98Wb7rJnvhQzI)K|@>>#0z3VP*zNL_nvd_mvi#n$H?f~pQCFf
z7t?P~3`?$S(cop#s8i#cUx^`u3Xe-@T+~rWY717#y+%7*ghxDsCYFLjP~tv&`k&ZY
z{oo4wr8sY}tdvWnWnYrwgQXl#En6^?Zv|`iESoDZZ5~+?%fk*!+p@U<@iQ4{$~&_p
zUV!#|^WS-5CciA>mRAD%J`UHs8pMJWVm=1GIt9La<#^&$;ysB|wOR<A3hf87QRP))
zHbNnXlcLF4j#%+-e6CeU98Q}P<Ibq4yor)Iu>2-WxeL+3(<l?<aMh_`6KH(mRXD_J
zFi^u{e5;(SGvTG1AvS2d4Cru&FC~T)xKKr*$mKv+fJ&b)GKwc`4#r9^i%I^|zQXfP
z)b@LPjbic=J==?AaCkRh=ztY5a>8RiMOrc5X*WXInsuvAj>=*!URTn%N3MjyuU=xB
z#z%h%#t%~H;4&f9<`L^OD)&ak1)@cbBm2K%yUT=cZUbhkRK%zen}lo_1O@{E6~1gG
z_q8eu#()7C0nMWE>P6e7#B>&{5d%~;y&`aOaY}e9Zj-|Y8$|_DvhITZEB!tF-Tkem
z=qn8FVK5Zu64P}RGE7EgxEs`CwAF^Gs1$R-9K3MK(H-1?hanRl26NFD(qPgr!`p}h
zp^zHa$qQH*%EYrEkFk(@)eN+ZAsNoZ^Xe>e-rA14Fc)5jK-i2TL9yU98MebyO`es2
z1oDUuZ;mr~z-OZM7)PAzh+7qs#Jw>fC3!V|9WyT6W7~<E6p%0IbFnYdwd%g>+qSHh
zkx-wU*+|oAYu0S*=sZy-Ywql9KDW66KYCg0jO!s>U5~?8_1G0>=f|vrE9Bg~$L(_Q
zHZtTqPTpDSirW9Tm~7O6>7`SNw_fX#RFLY?Y_YEsz4$kMrj*jzg+J7F<EXq|LYff0
P{=S<TsUaug@dD;IdG0Mn

delta 2145
zcmb`INoW&M7{{C1re<PhvQ8#@QWI@Wn@-X!Q&YXzB{f^If`W?HL~Wv!+KUy9OI6Ue
zrnUbFBDf)95vi4cC@y$X5JA0b@LEI<iXPk_rH3H(qH~(>eedz(``(Z5&F80;_nuZ(
z9jQJ$eY@&3izA&hHtRK5&2wngYf)l57RXtU*WU*dV{lQBVw9ut!EZ#0(_tc}z!bOl
zuX{s=D+};+IAC-xlrKt5!&1yH^<v7|28+uIwl@67n!%^qdu2HR%7heKon2+QyJfKz
zean`WuZxc51{tP$Sa^6P+~IcEylR-EM!e`^(a-DfqKCskSdG~(IaWn#@YY9T##@C6
zpAs_>9low?#v`8zuUQ&fdlb0HOHuM>L}$Kh{t0`G!yCT};{t=nLKvlh2DzXa{UHx7
zCCvCCs89+ya4N>)rN0`}Ni}jp5KK~uHz5TSNd^~Uw3K)Ao<J7UoE^`C$Hc-`&taix
zc_n)D!{N<hGmFEkyc9n8SUl=c5%VT6Q5VJ{+Ijmf@~ww2Vw%hlq3jaaiCAWR8;O-@
ziqP}IX>@jFMZjEbk4o?>#9;$*77tqRAYKPgTsQBR!=adx#C41OZa>D;PU2KC88qN=
zGB`JQ=A;Jsn03x6n>a28>X2b6`nzw5&>U{B+adynrgHU#6NRINT%pgFeS#|;8eF!~
z=sxc#eq7%{kynJm;cO$BO&ab9nSsn=<THAl>@#C}n;Gvq<#?W1frl)E?(K41%eXO<
zRbs5Kk>n{@vo@krjn~^;qOjVdT3p|LhrEb#>`C)P5Cd~kkC~JV*%XJ!P8;5*t)wmr
zH&RVF95-P&<-z5&ioB{)P-#69X$@|s<go8_;7i<rh8=Mcc}7g^lVR<ygQE1ik=(5a
z4vN~{-z}=el8TDffx#WCsoufC-u-o(aArggN#2g35e}7ko1XW0{X)<$cms{RhYz+0
zfk2=o+faUnoMmAiQHe^Uux50ys+H7-US|W|o~!xi(u6!mepxkQ!E&;(Z~uE+55{Hx
LPbog1sMq`kc|P`W

diff --git a/dev/.doctrees/how-to-guides/lucj.doctree b/dev/.doctrees/how-to-guides/lucj.doctree
index 5265fe177c605ecc452c314c9e99ea88f3031f51..10fa36ff4e62ab237eb2a3a7c58bf848904f11bd 100644
GIT binary patch
delta 4095
zcmeHKUu;uV9M0_~Wz*1ho!x|uo{gC?V7KT0Id|fgAkhaR*@(d<4hXtRw`^>*9nm1k
zh|$DkQS7h87=dYKFxdlYt`Ee-2v5BD!iz5$Lc-ojpNxr!=iZKP-AYE3;)83_=A3iC
z^ZkD3cfRwT+us)g_ZI@S(@&kteqVbzyjj%uA5CXQjvqsb?D(YjWy8ZGZ%!SV0^GRQ
zVi1X(SsPS{{9uJ(U?2f^qn%qG#yPZ%bSu0Yefb~E>4R^bI=I<*YVD*Vk-hN8v-pvK
z?k}<Sz^2q&6X_&6mdqZRI5{@y{@GktVeB^x?zUVBm9RrT7!G&1?mXIQ0XiRqFXFF0
z1Tb%{jB>c+x&>VwovX($Hds?|Poe;$5LYcVf=KvD?}#!=>vtz6)5+d^DtIWL>Yb?s
zt1&RRqcYY!%*J=Y`+Bp-Gpk!4@c00$FJ>~{5SUp56^AR%K`RBJ9-n4eI?tFm5Avw=
ze3SS5gZ!EN>3k|a`Z2Wib>*63?yeVhM>k-B6_aprq!}S*YbKK2m?PV^y)IS6?;>JT
zEg{k0wnN#1Q8Oq|H#hKN(}Q;tn^O-i5fZl4e6FzHsv<oU_K&&?{cX!*JilxSr-sIc
zC$gE-mDiD|xQ^1CRf{pvw!2pk1fN_qxO!lpf6{(^?RIs`Xv6rypQ|4t;Wi9@7}>}v
zr<BzrIPrB;qhm`ceKjpAPEZVArCGZ`2-_Ir<W7u>YV<W#loz!%r*LDu6J8m;^|%T5
zxUsP=tBm!zr8G+lF-lv^wX-bOCBVvr-5cYw8oZ_uX<sOflXuF}{@2xQ%?P-80v;==
z+nPDwYR$lpXLG$w35_|aN5#)OJ?IT{@Q5J(t{Z=m*b_&|j=1pbh9X35At|5>TVLc}
z%M2=HJjxiE-}LRsxEED^*ANNHz2+f5)bY2ICwq`k3Z^eK2OI|XKW(q0#>*HLMpuQ;
zTfz=@l*5!_ic_YkhQhh+VM3UZuAoeENwA|~0JeoRV?;YxVJtbp60YU8ZKRSAECexB
zTN*IIj1VF@Hb0CwlzU_$E;Zo}ks2$(i36YH3>PMX2_dE8gi8irUg`)g*2qvbg^dd<
zB^cw{Bqa?1U$Vmtb1kVhv#8QS6F8e|k84c1RFX-vO6`#HyJ~Q~`c<vI*~hZ#!>!M<
zf$KGJEo#H`Kn%Vct%ZAYV=q0j{Fgk1*{jdMo{DFnG^hLjd=OS`Me$`TxV|0#i7!>y
pjyU`^`?~cW+@AYr{XVGHebBtZkrw|f46c{`iCzTm(Qjf;{|&;mKZ^hW

delta 4011
zcmeHJ-)mb{9OvF`cFV@vEOtL!+MITQ%4$x|?{n_Z&WVU1V#U%9=~zY6G;2&^Q})oI
zb1%L)%G`H#AX=Q;7>LNqRq(-w#RtWg{RNJ_>`f8&Vjl$Oxk=mGB^eZL_LM;2=6t{3
z&-d3SpL-tMbC>VATR+^kkYC#RZP!5&8GdV~oGWBediLE?@XhASaxyzN7XjKm07qkS
zhe0%YZiAlpqu)8Zp%NS2pno*l3v;oT{zJ@BNR)QKohQ$1IMa*pcQ@I%w|{$Yzq`A5
zI$uKB%<Rdjw~I3w|DXLknw<US!2S3SovXg%HD{Pe`u;a)(1FAo9q>is)kipd?bK(P
zNdDr$U~-`Gd~uI60}m8(nFoD3?s)LLKD>vS$g}CvOlIiPRL6-+Q$yz)eOzYXcU^XF
zz?H-^FyuWIAiU}I)DQyeu|nKE|7dfiF9AP$qfTZucrE=-W>)hy8ZEN_*O8B6PjF6^
zu|*dTBq)}GWl}^Sj4?tSD<i5u5yi}C=pE@hOtE0p9!iwrSkT&I)!kspw6!RNG^Rwt
z{O~C#zV>PBGWheuA3N*dlVJmA#`EtKXUp$5?;_o_i!i34mBL8blI6$8k;^ZPjIVEM
z^S6Rwc`OY#M=z{vrv+L3<+1Oh+qm(xf~8#SAkPdEQe_QORRXP$Oi}}PbG%=nR5<sl
zjbT&eqqS5Q29@cYWmE@TJGHQ>z<y==q7x#bhEhXnaJ*9Qz(e(h4o!+4@OKqDTZs?5
z3a?n%{UdB)bEchwTkrkU3edDaS<d!2^KkpZ#qEq3#kGpSvFUvYg{2HcN3Lp+q=6(c
zgqXD$Si08xoWg<xJ{qMICX!bl1IAbaF&;>g2^d3}7g$b2ko^=UGpCOrDFl47u-{b#
z7O(V2I8lrWPAvmpzaH<hRS>15(1dVdJO!1-r=y%PO{E}=D6UAb{F_(%J3UWJ;t{5l
zQCe|0`PHHAR!Fs!l0)UQeO(+I&J|O{qn_|Q3TH3lD3gq8E<CACVB$Q)QqtpEXl8X2
zT}^hZ%p`#7mRM85nGF+ENh+l6s#crDv(+iWwDE#AM1Ys5)}|B<{&}YU6?D8k^R@kL
z-pp%!2xks|UY>P--2xMZm*MQ^`G+W;3@IL}Mj$KoJb$4n&(~twWDgg)Ms|B!>S+)D
yF{n%f<AZx><jXPlgDr5b6mMXCTiE}%upg)s_La;1@%F@9^(w6=xu3hScjv#l5+fP_

diff --git a/dev/.doctrees/how-to-guides/qiskit-circuits.doctree b/dev/.doctrees/how-to-guides/qiskit-circuits.doctree
index 90576859b91d55137c6e13520fa24af20060071a..34e39c6d87ef089b97b7992894a0eeb386788d38 100644
GIT binary patch
delta 777
zcmY+CJxc>Y5QZ^@CPlCl(O;m|UGzRIBr&BJQV1bdhBetD(NZl#6a>W}c%@aa5p0AF
zY18X3u(TGju&{M!W@j^&&pUhb?7Q4}k{eHQFIVM)PE{0?+KI~U%KL&wjiqd^@+y*P
zZ}5+nv({cA>+jr)bfsFEkvXas^Mpa7ga8QypSw<gi5EBm!GrkTFNe9Q)xO>GQag_2
z?JbQOAAAo>eleb$_UPtuGZSb0ayVmF4}RuhxS6U>nDBB(aP#Zdo0vO+o3kLVP~cK0
zATnR-asln(mQEuUL`3*BT@<*48_=8u-D7G%DK|he^^-#sfKU6kcLaj9Q{TYOMFS*y
zqNg+8z^0;sR%UqqNDVeZ-I+BY0>N{i8c@Owm`Jcbpazt310=I}QTKmO>KjBskXQo2
Y`wa;wVF42fnztmNlm$p;d-z-Y1L-9IC;$Ke

delta 777
zcmY+Cu}T9$5QZ^@CPlCl(I?RAE_d$5LK0JoA%zfPWlZi;BwDIvh=QOP1g}gLYy=x&
zL)!HE1eVq!78bT<X71lx%Wvl2`F56_Of!>d=H<GS+bV=A^n)mh?@I?3jq5A%LiyFI
z%zA@=v>G?}b8&z7!K$uR$|>n~C7%^kov@t>m`L!smk79G1PPH~WSuv|sjsWmZy6p1
zMb|OIg~s&{J}892Ai23}#8w8wIiuGPe-^o^oPtW9Mu={H(|oh~5J-R46G65m0;xj4
zq`z8MONss1cdgqK@zZog5Cv3$03?F$2{xb%1f0>e(<2cm$Mbw65F)|G88)Ck1k%R_
zPv_WxG7xY^4=*0E!M0m8f+!#&!E+xQPz3_%L$Eo(29$w-GkW>5hTju*JR_KY*Ex~k
Y{Z<50fdC{=)VLFYR3Tu}JHy}nAImNF*8l(j

diff --git a/dev/.doctrees/how-to-guides/qiskit-sampler.doctree b/dev/.doctrees/how-to-guides/qiskit-sampler.doctree
index 72183beaab48d5c99206b117e99b23c2d57b8d33..702c3ef5e444f98fba7405aca47f3adcf700ee21 100644
GIT binary patch
delta 931
zcmbPzovHsi6H5c@)Rv7bo-vH3lOM#$Fqv9T&WS08b2k5rVPRx7RZwt^nH(4+36g%G
zA~soWGW%rvxGr=F`N<sdyCHhHO)aNnu*Xixu<NOr{2@9PVPbkh5j*3_$s04>C;Me&
z@ERBz8W^f68(UgiDVR^5o#irleTMMlV_8CzPh|=*8ccS`l$!iAlXr4fHt%GQOtZ<q
zGPpDi3=Loas2Q%^xR%RCzo0194r+4*MYaf_+cG&nyP0wQ<c;0>lkevmPp-;|-~>Bf
z9pvykITk>N^Kbw;raD{->XQ#<O0yaOdB&6T3Z+?rjx;ow%$Tny1$8*s-7rsp{9s@>
zxhGed#^%dR{vXFVIWIq!C5MrLVe*4qBQm|AjoTX_Ki9%yfI@5Vgx2OwMWLds<`(7_
zhLaULm$Mlf8X8#`O+MEt#%^q6Y+`O~IQd$K8-4|^JFjCZ*w-V@0X4x4oY?DTvrpd8
m9Yav1{Nz79U6`tXE)s;92g?$FCV%MA!KxJI_{~xMjxqo^b{EnB

delta 1030
zcmeCb&NTZv6H5c@)Cn6|JYyJ5CO?RgVKOtCoD)+F=WPBL!@|gFqM+a!GdVCu5+r@G
zM{Kf1+(dLi`N<sdyCM3x&5WjGu*Xixu<NOr{2@9PVOn}Z5j*4Q$?G%SCuQ?Z?#$p}
zGBlekkWo3=GLvU=Mh5TXvMft2Ljx!<G&E3CHnz03QZUisQUEgz5RwK4hLan!L?^pt
z3r+URV4ob9DaV75H8hxPkSQiu%VncqP?Ty1bx#Bx?VenmUCp?0^84(h$=bPmTn0ej
z7^+(-06qLaH+AxwJPszH8*}q4ki2AQ08{|-t2&Y((4VjX0n&zshLi1b^*CT+ljrA&
zPIk$coIJOioo=?(v*a-{Fie)uF`~8C_>5~|QAaN;H?J%T5@oe8Gcz`y)Ulk+z|!2n
z$b7P4zZkobv4NSXvB~699d3B#?{{8@%d0^2gECNja(+>ff~|tCfu5m(xw(m<nFY+m
d3q9h%2uvnf*DAOUZ0_{zGs7pp*{|PG1_1aB8tec7

diff --git a/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb b/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
index 17bb39168..98bb144eb 100644
--- a/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
@@ -33,10 +33,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:50.758615Z",
-     "iopub.status.busy": "2024-11-02T22:06:50.758414Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.481361Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.480785Z"
+     "iopub.execute_input": "2024-11-03T03:09:16.346902Z",
+     "iopub.status.busy": "2024-11-03T03:09:16.346714Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.081020Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.080489Z"
     }
    },
    "outputs": [],
@@ -68,10 +68,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.483854Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.483383Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.486495Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.485987Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.083290Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.082995Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.086117Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.085545Z"
     }
    },
    "outputs": [],
@@ -99,10 +99,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.488478Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.488009Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.491328Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.490731Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.087978Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.087600Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.090825Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.090268Z"
     }
    },
    "outputs": [],
@@ -127,10 +127,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.493562Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.493096Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.497862Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.497322Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.093007Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.092646Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.097274Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.096726Z"
     }
    },
    "outputs": [],
@@ -152,17 +152,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.500287Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.499883Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.527874Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.527295Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.099572Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.099346Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.127017Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.126284Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "np.float64(-99.5571707255154)"
+       "np.float64(-99.5571707255161)"
       ]
      },
      "execution_count": 5,
@@ -191,10 +191,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.560563Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.560093Z",
-     "iopub.status.idle": "2024-11-02T22:06:52.266470Z",
-     "shell.execute_reply": "2024-11-02T22:06:52.265818Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.160310Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.160096Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.860643Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.860013Z"
     }
    },
    "outputs": [
@@ -202,7 +202,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4178/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
+      "/tmp/ipykernel_4325/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
       "  evolved_vec = scipy.sparse.linalg.expm_multiply(-1j * time * linop, vec)\n"
      ]
     }
@@ -224,10 +224,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:52.269507Z",
-     "iopub.status.busy": "2024-11-02T22:06:52.269047Z",
-     "iopub.status.idle": "2024-11-02T22:06:52.864554Z",
-     "shell.execute_reply": "2024-11-02T22:06:52.863902Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.863573Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.863211Z",
+     "iopub.status.idle": "2024-11-03T03:09:18.460712Z",
+     "shell.execute_reply": "2024-11-03T03:09:18.460087Z"
     }
    },
    "outputs": [],
diff --git a/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb b/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
index 655f3ca37..859e67a31 100644
--- a/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
@@ -62,10 +62,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:56.169737Z",
-     "iopub.status.busy": "2024-11-02T22:06:56.169538Z",
-     "iopub.status.idle": "2024-11-02T22:06:56.899037Z",
-     "shell.execute_reply": "2024-11-02T22:06:56.898375Z"
+     "iopub.execute_input": "2024-11-03T03:09:21.631563Z",
+     "iopub.status.busy": "2024-11-03T03:09:21.631376Z",
+     "iopub.status.idle": "2024-11-03T03:09:22.312533Z",
+     "shell.execute_reply": "2024-11-03T03:09:22.311881Z"
     }
    },
    "outputs": [],
diff --git a/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb b/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
index 8ca2846d6..7b29b6292 100644
--- a/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:58.522357Z",
-     "iopub.status.busy": "2024-11-02T22:06:58.522168Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.126606Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.125965Z"
+     "iopub.execute_input": "2024-11-03T03:09:23.917368Z",
+     "iopub.status.busy": "2024-11-03T03:09:23.917178Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.565565Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.565031Z"
     }
    },
    "outputs": [
@@ -81,10 +81,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.128905Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.128584Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.332766Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.332206Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.567924Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.567322Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.761542Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.761019Z"
     }
    },
    "outputs": [
@@ -119,10 +119,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.334978Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.334626Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.442284Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.441733Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.763519Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.763323Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.870911Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.870313Z"
     }
    },
    "outputs": [
@@ -156,10 +156,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.444404Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.444018Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.553502Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.552920Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.872949Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.872604Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.980857Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.980297Z"
     }
    },
    "outputs": [
@@ -196,10 +196,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.555681Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.555487Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.739469Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.738954Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.982990Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.982648Z",
+     "iopub.status.idle": "2024-11-03T03:09:29.164677Z",
+     "shell.execute_reply": "2024-11-03T03:09:29.164172Z"
     }
    },
    "outputs": [
@@ -250,10 +250,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.741538Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.741329Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.961375Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.960838Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.166796Z",
+     "iopub.status.busy": "2024-11-03T03:09:29.166349Z",
+     "iopub.status.idle": "2024-11-03T03:09:29.387587Z",
+     "shell.execute_reply": "2024-11-03T03:09:29.386986Z"
     }
    },
    "outputs": [
@@ -292,10 +292,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.963675Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.963176Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.100453Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.099729Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.389663Z",
+     "iopub.status.busy": "2024-11-03T03:09:29.389299Z",
+     "iopub.status.idle": "2024-11-03T03:09:29.523546Z",
+     "shell.execute_reply": "2024-11-03T03:09:29.523016Z"
     }
    },
    "outputs": [
@@ -334,10 +334,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.102962Z",
-     "iopub.status.busy": "2024-11-02T22:07:01.102426Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.646930Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.646337Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.525706Z",
+     "iopub.status.busy": "2024-11-03T03:09:29.525352Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.039067Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.038535Z"
     }
    },
    "outputs": [
@@ -378,10 +378,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.649188Z",
-     "iopub.status.busy": "2024-11-02T22:07:01.648806Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.845179Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.844535Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.041471Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.041025Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.220602Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.220016Z"
     }
    },
    "outputs": [
@@ -430,10 +430,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.847416Z",
-     "iopub.status.busy": "2024-11-02T22:07:01.847024Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.015640Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.015064Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.222622Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.222411Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.393201Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.392564Z"
     }
    },
    "outputs": [
@@ -474,10 +474,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.017941Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.017560Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.148536Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.147928Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.395341Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.394997Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.528290Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.527638Z"
     }
    },
    "outputs": [
@@ -513,10 +513,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.150512Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.150307Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.333394Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.332800Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.530494Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.530071Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.717127Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.716609Z"
     }
    },
    "outputs": [
@@ -553,10 +553,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.335622Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.335231Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.497600Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.497006Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.719094Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.718894Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.876052Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.875446Z"
     }
    },
    "outputs": [
@@ -593,10 +593,10 @@
    "execution_count": 14,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.499931Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.499520Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.633290Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.632671Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.878081Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.877874Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.009339Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.008649Z"
     }
    },
    "outputs": [
@@ -630,10 +630,10 @@
    "execution_count": 15,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.635564Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.635087Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.793784Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.793247Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.011688Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.011191Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.172103Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.171450Z"
     }
    },
    "outputs": [
@@ -677,10 +677,10 @@
    "execution_count": 16,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.795802Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.795595Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.004199Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.003576Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.174179Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.173981Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.352678Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.352060Z"
     }
    },
    "outputs": [
@@ -736,16 +736,16 @@
    "execution_count": 17,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:03.006269Z",
-     "iopub.status.busy": "2024-11-02T22:07:03.006027Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.475875Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.475209Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.354709Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.354371Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.809821Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.809198Z"
     }
    },
    "outputs": [
     {
      "data": {
-      "image/png": "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",
+      "image/png": "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",
       "text/plain": [
        "<Figure size 1547.39x1018.38 with 1 Axes>"
       ]
@@ -776,10 +776,10 @@
    "execution_count": 18,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:03.478046Z",
-     "iopub.status.busy": "2024-11-02T22:07:03.477834Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.741246Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.740643Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.812088Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.811571Z",
+     "iopub.status.idle": "2024-11-03T03:09:32.070455Z",
+     "shell.execute_reply": "2024-11-03T03:09:32.069935Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb b/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
index ab5474e3e..fa05e1d09 100644
--- a/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
@@ -26,10 +26,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:06.348043Z",
-     "iopub.status.busy": "2024-11-02T22:07:06.347449Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.057825Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.057280Z"
+     "iopub.execute_input": "2024-11-03T03:09:34.368745Z",
+     "iopub.status.busy": "2024-11-03T03:09:34.368470Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.073398Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.072795Z"
     }
    },
    "outputs": [
@@ -74,10 +74,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.059969Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.059671Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.066592Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.065966Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.075828Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.075334Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.082159Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.081632Z"
     }
    },
    "outputs": [
@@ -120,10 +120,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.068827Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.068331Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.073007Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.072434Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.084178Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.083815Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.087941Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.087438Z"
     }
    },
    "outputs": [
@@ -157,10 +157,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.075076Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.074703Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.078868Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.078309Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.089961Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.089501Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.093668Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.093217Z"
     }
    },
    "outputs": [
@@ -199,10 +199,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.080725Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.080532Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.086393Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.085880Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.095658Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.095181Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.100872Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.100400Z"
     }
    },
    "outputs": [
@@ -245,10 +245,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.088300Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.087940Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.093699Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.093134Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.102857Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.102500Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.108227Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.107638Z"
     }
    },
    "outputs": [
@@ -293,10 +293,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.095605Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.095418Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.100663Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.100092Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.110198Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.109861Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.114791Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.114306Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png b/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png
index 5d5866284575b3198c21166515e14a9e574c1524..adc6258bcb36a06626f846bec1ba6c02721df9dc 100644
GIT binary patch
literal 54140
zcmd?RbySq^w>Lbrv~-6cAku<Jqtb$)pmaA#$IvAr4FXb9DhMLd-Q6&h#L(T{&2x=k
zJ<spF=R7C=e($wriF0$uRr}hX*aW{&l)=TK#DYK|xN@?R$`A-@H3Wik_ZB+%=0z04
z0{BPJNlM*G#n#lx#lXP?^4!45&dS!w%EFKyYU1E%VQa(7DaiSNo!;EZ$<9%Ti_7}o
zeu2~0!HnyUA_^Sb1k+Ad!w~|(H$Z%lzKdsBKp=x_a*|J8xh8K;xoLk~y1v;P?J2<i
zu797tD2Oo6j?cyM)#l=wapG2G=CH*X)T;12`(x~KVUbFTiYg1oQ3l7dplUlQM?YV*
zb_Weo>_=_o$q%nhy?qqEG6vn_ZpPVJS!k44uFAit6F=GN6&>|luF9LxFV)Nq`g>F$
zr5B^zCirt?b3B6v|2;MFqDWry&oTKvT8H7!G0*>Tlko2q<zI~B|6Wjm%T)dMf)?w0
zaHhXk*hqA8{=LAS>i?&Yn48;#tQSYepixg<hZZ;6Q9WPKTp*cs8E`-Q_QAOc3F$Qh
z^X*H~lw#YzgCWRN{lm`bg3Hsbnb<6Fj{iM-igf6<nr?~i2qt-b8@OVAO6)e>X0li4
zKSLnfYeAm=zZ{KEpLHjnwi)wgK{E_@cU$!L8(21<J(W>lDd?s*3uOK?gm@XLI`jO9
zujkS|h5CeL)5mm;>+Kj#vLb|q+5fz-Jv~!(%NDt4tp&d;b=+6akYh7JVd{T(QauD)
zu;x-H%-iquU70gf;O~@r%o($JpOy6vD{JuXuAQfs7lnWwy@iDZISzUpr_TE3ZU*hC
zvjO3n3%|jEXcY10bz%amp8h_z6I5L>N)Kxy;z^smfVDl8Z#(BZ4wSn1iZ}%d<zskg
zRQmK7bIgHwKO}`FT(+0yUV%>Eg`%J^A%Q&!T9&~D&zL>+v#w;C@StDs<P~1nmTFcm
z#c9dP%Nwo#%5G_CDX^P+`W}}G{qfVMZzUFZ62i0}I`dh-*9&hnH}1RfHr~o`VP)fV
zHm5e^I)trQ2yWVgfqEqqI@e3HTVMNP-y=FFn{1L4&1n2>V0T9OM)}vFT_`$xr=Lna
zOC_aS18(kI9h-H1Xa!ad$@K+xPxm`7w6X_``gndA^Ynu=*>l0#Md32~$9Q9Qi&h#J
z%yzcyht_i?1(F%G!Wx#<ww}kKTipu2kCn)2F&8HM$~(ao9VT|ck;XeU2YB6a9E_r(
zDR?wO5Pkln;E)i8d-sAya<zo{QepTrlHJoZ8bZ4~UC)$wSFc#sgiP*Q$T`wb26j~L
zhZt<06x2gtTRqMtsMB2qM~Cj&!U;IAkbY6(*v6~uvT5WI$1bIm_fpkXba~TjDBhg*
zE+l?FR)J?4cH6m)$Qhe~rS*-Ib^VzJ&}b5}l5={II8*ug)HfGAuErc9MEE{XtKyfE
z>y?+v<n@%$loH#ClzRau4-6b>Yo>{6KJF6QvvLmf87=oDhLQ7p6&XO&e~=gy5^{fM
zxYTh)(fw#$sv5erI-En6n3(8Hsx(oJUU+uIL`>b0e%gUKXy&ERV{M8f9WRhFpE*6I
z%QN7d_Zq_ht{eD%F^<%<dHH})$4tEtmnJ2Dg&`<(%;9kJ$o=}EH4>Im^T8S(-m}FA
zB=L<yR1Jo?r@H1>S7zgVc0XG%8-rzQkG5eU!Fi6k!pNZ~0uLAnvT={ZgkusDJGZB*
zDa1To157+lwmFobS4&(zbB!2u#w)NCk<(fKNtYQfXTnIe&ve%YY9Gp-UEJVNz14eI
zyUpU4Awux1j@D%M0Im}qfdRBK@#9DrwU<vgfAnCbZDv<RkeoV2E<Yn0-CaxlL4{1J
z-_0}THp#OW^sB|?!djGv^U#lEwuGeawAJ8Fu&k(>Hu_Cx_IaH_!^nHF`u6WZzif}Z
zKR>sz;e_-iJt}9LDKx?m6coIB_paS){~dm-v4;JnZlsEZ2w~UNFM+39<ueuYA)zdv
zk&%(_v1Xq>)T4^b6d@QJ&Fg8NA@hx1KwC0lYPaT1bHA=rxc^AsH*s@FhD)=LtBlM#
z^PBcynNgOW<`p&tcZ0$cY0F%z?kLX*D9dudPR>swq_U-ywu$N}qqhzcnGI~_;$|~a
z8#Ek#%(>$)+!yDarINF^*r@g}ZG8sZ)n?rBWmJ}h=^3KB$sU|by$uuzYIK@g&Mp1<
zG252QbaKOpnk*scm)7)`!V(W_m00JWW6LFn)|13<?4QIsOJzVca#ck{L<H<+A%1@G
z{Q1(gJ8%+eYMjTaBXIjCsyVSNX`Y0ktxummMFvC0#LkWr)5-r~-1q?jC1uxiZK=5F
zhLiUlNUERrl8J7(b*KN}Onk6_w#E@HntADJ;e&^U+1HF@&UvjQ>drg29~oAsa`E$g
zdoo%a^s!j?=>*=Cup~9ivQ$}Jy<@pIiOX%ueWsX=lQSYAft>mIr*~OdEZ5i9J*lEe
z;Z%?2S5{=Ktk|g@+58+3Q%n`nusCZhp+Q9c>Y`{Ow8fQc=@)^ripDoskL}v;JyRt8
zP=8WR**do!9iw7CaMcw$A}@}-Fe*U*`Pp5Ttlyi$sH7Z)_C>h$X<Gm}Za+&;5^ig2
z1a?oadaj)ema!U7zCV)r7QXn_jQ<mSln?IPrMbI1o1yqKr)R~LC5OWj>KWehqNq0~
zM#IiH%=o%V+;7GEDCZJBOJ?Y@6*u)S*%hodIfp$C%q-x%dDlEoNRagK%}9T_?M$fJ
zPf5_#OLKFL^R1znn3x8Ks{;xN+<tc?-uKu0_z1adhYgtD6%k3EoYd~>vVtEM6+Q62
zI#O$DZr-??*@IvA?cfHtxm-%6#vdivXH&IE>{+Abz+KUKYF*|ErXTA<q->M4TM4d{
zv5gRyvTPw9eYEYMr@@@|n9Ynib*kZyZ{qru(+^wG4l9tGsB|jq-=I=@G|j${k!E5z
zO6-KVXlHm?&CNSYW?W~VbaMJ~>QsIB^y%4?CrA_&6q7zTS5}i1g`N)QVAP1{==#1&
zg+kOz%n3kChCk(RI9R!RVPbes!opd7%uexdX4RL)MwD(`Qa0r?s@lr^b?f!^SG=L3
z2QuDD!mGoVm!*r!I&^r=3|94N9w?#*7tXn}nX(udOb&^f58tj3T8-M8;J%ghNf>M$
zcp0osn~r4a9QZgt#GfMEw;c0&y7@RisDr|##II#0W;V8TYdc6aTDyg0_`)D8mX)3T
zE+eBqCK2<;_}ZfptuR{APb;Y&5t+}E9{6}qJ<oW<QT!o}FTUh1?wVc6rF9PcWO_lL
zd$8ohPIK~9{j4ag6GdQXCG*J3c7CEtREsXGIb9ALGA>ez8tF@K_HOHTs<am4b+Mk6
zQdsA?my=B-o0VwQd5N8k=XR66uUyI(58hL|N0-TFY&-qLHlc6D-)F1ESH!*1g1a}f
zPon8fq+&`0<>!u$_D0R_to5u)az1y0uy5K{i~Ag7Q(s)2Nj#EiOc^Lc1#PTUKu?$^
zIp+_IJZUI1D%*djuSGRJscbDwptcy@nfE-2|D~#`>U1&oY!_R;@z!{$V%Rh4#vCcW
zEnW41fuT^)mI}j;EAm=vd~9y==OrHA0XklNp9`=|wtJe*H(oob+;zI>Q9X{-g@tv9
zQs8h4^c*`bi`0+yRq_P?k_^l&dw-p1Ji6kaLKP|dobMzcaALw6HkqEbx;U92nc>Y#
zG254GEpE0=WqV?8qrjld%gGbA=PBxb*kD;Yn5*^3ERX?jnS?rIU<kW_shm6615>Lr
z!OFBxyv>NUu=jz6`z1Za&5q@9?G38xo7cP?e^YH?yH4Zyj^M*3*T9m-)g={O(yK*7
z!>p`XD%$qBB}Yh*mjOv3uc`qn>wL?(2@Ff^PnJzB*~w`y$P{>DufK<*8J=RIwmmmP
z?AtaKs9fTbqoWbCJ*slrt=f)$|8E+XWgK5YEN{W%p-UyPQQy<HxM5rV^JfD;<3%=2
zw(G;lCig1DX~>zd@}3RB(ypu2KaXlD)OL95Zc(wX%9&xl!|z}^gYkGQXpNX|OlsFR
zYSUAQAU%sLQ~G(3`{K+;5^5I5bvhpRM@=~z0(Z(492^e+JYRVfK!^B2c6;_-!uIjl
zvvxRbEa8bmYnFXmZPD}{`#&8bd-d5M?9U|(|3kQ8{?<L)#SnRJN(?sPBJm+Qx@oM?
z2;7gJf#I#&!7`jfuRtH^&Ye5&0s|dSrd*8pDAz`EseEoOX13OA_q*77K0OS**r`ur
zRmp_xcCw`H4$5;G@KL%Q4Xdrei&>1?BTTj@D?vUQNb@Jf=2LhEm8)IY!Q5+vMKoQ3
zARYlO-ra4+j{(6XU$?d^-s}2o#q)4LW^rk0?`TwSVP~hWBZ?7T>Bs_RFI)a2!<Jj~
z3kzp+fplHn)2<7+s=1m{y1KOZ;+Nc^WL%jtk+gSNSa|Jb9|zL@eW(a!+r7aC=gqOG
z$;rw6Q8zcY)6-LZZt`1rcx^K?bdZ?NS6|Fj50-m*D7S1GqoSgcg`7hc+9QdGiBTJT
zkx<mjtTbro{?0siXfU5^c6RpVQN9m{PfBbo81HvFDY;tZ4yU^Y<7L(!16w*iS4SXM
zcmdX4>TF0*kUmIgN~tRTKn|u~#qt?`pLosiOp6l>3b;XgxYT!Af{8>9`z2})V8X-W
z+dYZA@H#JH@vB23IXSsf;y>_H_UOA=yex{dDJ<`xwWZ}lObm+eu;tQr_0DqTN-85C
zUy0_#(cWI;=qOpva96fU7Nn!IGg~#E`yWUV^+_23)J;@0w3jblK*mzXPp4dF?7?e8
zOnW~`sjHJ?ld|j2w*>d3iKmU~dW3^caGY<!)b-qxk`AYo+L^8`RA(1C=;4JRI@!46
zb{0*{KaJv}1{js^v1u_yG2F9pNg@!>q&0-(E;Dm<e7u^$8E705`9n+Mbm{OSEq?Dy
z*S1JHTeULimgaWt$@C`-&VQz^0|B^;EZPc7f#o{*K4*CAPp@kSF@Gof1B(d$hX9)B
zmwauE9+n16a`8^W<J}V{SlyqcnX&wFGuoYH12s%<A=#^b0%P9)Uoj-E5%K@}QK4EL
z30BL$B3|Lprjjerp1#wOTMb%6g;FeT_WubzEq-9!C#AvHcRfEUt+-)W5Kn||lG$Wz
z{sIu_FY?FB0P%(<J?l{~dStWmN2P&lcC$dnzrpDDNqPG_f${aB16;S$`paN=GJiu`
zhe@;!6BE;2CME(}+KBvoE))#ByBr+2{*4WT-{ezhQh%Y;b1E=g!I-V;Sfbxfi4*ZI
zVJmq1!SK3SpLM~mZAyi>@S?``OPl<V$6T;Nx;b_AGU|jiaq1T(yt9iL2?*3)zC!mn
zn0x$X96Eo_u6lZOQl^vL3Lglnb_m8?&sAkBpLD<m7*rueC>Eq_q@3Cv1qRI!Sy@>-
zb@r&y69${hv|H=9<?N^BNL_py3@+k+1Wccaa0H5OZ*nK!uP0tMZSrw|#o=C%ZkwZ&
zOTHbLE$Nr!OdQ5aTW)BwI$iph`!fn-a*VRA)c-NpN*jwqw)c52H1c|_V5@Whf+C^s
zDI8>xFw+~<Aw|vcUQl?hSnu=f376;BO9M$999#^4@ZwLqe(uh3PV`+r)zUChs$eDD
zw!yCBj7qt!Hb)pgB)n78Tx8NMtE7|#CNU(T*YxYxueY$UzB+G=;DvrWJ!OUVTw$fL
zQ4Y;biwj%TGmtqJ5x3>P*I}8P<hpdgp8eKauys!)=JUJw3iKS3%p07WD>PWGF#vu6
z)%v}65{Aeq+2)uy=X1P1lr&zum#NQH>lqw9NtnVGLKEZ=A;=DlAa0z>u@=>bSx;<r
z2CfX<*+3N;e}c(nk87fuP=Z%CWqYIRT0=bD_l^#~al)&ikLdyNJeIa0`2vU<6g-BK
zZeOt*KuS(R@_IUFW3Qc#<^FvvFbU!~wAR_<u5$PbJ=Q1{w=QyF$9EhArzZi_Lo?I6
zv87|b8Aha2sUK0wB*|WRKfj5_&$o4Sdc_dGV$P#5WnK;KqsujD<UhQ;$u0M~eVahg
zXoPf3&u*@4>Z?wHDxF-5l;?FQ#{gQa-jHxabNvHqn%IhB_q5Hfo*v_q?I|2Ov6`l$
zT91=BmTH@tJ!wSj2Ej93g4n)FC2Q`WmSjc%W`Zg<zVtmv(sFrW>UI4S4PUO4#$ZAj
zsk;tmao5OMITcT|3VNGk+&g{)H<yf#IP&k7LX7E1V&hu{A0#ao7p9Iyt6*lW{3M~v
zX0hYSJHnXD%gf09HExd8`!vE(5HwX%H`gc1cT9E|>FIr=qeIdX#$EZAf*ZPL^2VqD
z2s>U&C(B(Sn+W9}Qs%UnC>-L-y$--3*UzM9ELAOAlC9%WBj7c1j&){l=&O&N-`d(q
z_)HlTK}Uu(yS25jC_5=1=tI}Kx}|24LWnKtL?_vJ{3G8hTTG|VIsK?55_9w142O9L
zZ9|>I1YlBI>ho1W4C&=-r{|$L`;j+{FJr`WiXvLEIuir;>V$fpynKjLW%~;$1|vmG
z#CgE-ENd=g3^nBB$3@+kI(z&Lsy_lH2?&t;{`~oK{{aa6F-l^=t%mlii-!zHaivv{
zkiw$~M)h;IALhy^2eTEZe;>J01DGrMOIb=qjJ%uAkjIx_(f=*fvI;-3-(T!}){URJ
zHQP;<`OEdfFeW+q=|2S9Il(^!8-t)=z^VSqW;Jt&Vl!QRA+A}?ZN~o6Z)6*xp){mw
z68&2zTsoo7x^IT{eBS+<v6|7;3yQ=%&b^6{KDtinab9)Lqrxtpi_LvK%0vF#^Sq0=
zit9ynI{(@yQZ?tFsCida>v#I4XUEy{>2*e3atFQAZNfCrCL&&o@|6dZQFkh|7f-u%
z63A#2oA#PS&gY!OM+F9AfZTxj?%j6-=`y?qO{nj2D4yP2U#(46@=B*0;Wz5@8SWpq
z%+4X9qcGblh3TGWFu|4<keV5O&|=sk*@Qa0l4N-3sO2;q%!$HX^6;5cu>7f`fGZW3
zXCyyzE>+{}UTTWipkHRsYxHGvLd&;oUQZ}$w`>i(W~qYM1WN{UW<TV#XLVj14EXiy
z6&4m&M@Pr(^~H|aLR+{ZMbp^wat=kM83D@m5&3m)p8jI0)MUxIb71=&hr0Tfr&*aK
z-F=r)GX%I-T0(qxqq;|`1;auLuXN#5!?EFWUjzc*-*tc^*Us8bH5h+)6{Yf%PTie<
zt^a*pB{zsqAQJkHABluW*KC{dq^*fg+fMQ=pMnpLKb6*mxA;lzZqJd|YhLn+5wP-w
z9Xoegu(7c_J3926-eE48AhIg?IQF>)KNPT)6H-(6jO3D0@Y+!ni7DRMSoo+pllQ7`
zEym4Qj5p!yBo3iiSGg9{vsrEPW>+Ju4oOn%QcSn;3*;lMXv4Bc`l^61QNC$zGC`Td
zscS=0?Oe0YZl{fad6HI41#_9?C|&d6lV{r9H?2=Dn0KG>TU}qlN!3or>W-=zDLr-e
zX%r}bcyr9vdUK0o$K6=69q_>2y~3?f48oJC(t>`8Bc<-z=&6@ri@{Oc>LY(_5Td%2
zA~^=BG!s?cMMqKCM&5f;U`MtoV!(#KSA6uMhT~anRR*+jQ6}IYm}ELyya6)Km7~$&
z=B}wkPZaZuO$TVL>ze=*46zisYKu<doxb_m=)`w32b7S&x>Jns@gqB@?}~FqZ+Wb(
zMGX~G%8nRz9XsnC2(;4g@%%b=G`$YH!7UTD)M+7UedtFqrGK_F>ezLA_eHa=<d4}M
z%#)U;3TXe8qZYjWu)x*+B|6GwW$D(6!i3Elz1JNs=Vm5x^pn*Al$_MTetHTKk-b~D
zet0H!qNK;;i{%R2-RH&i9Xe|l@Y?5|?q#GQ|8_uuTV{(QH5pE*Gq3n@l`v|3@FJ~(
zjj1Xl?|UMXO|zzI*BX&b$4uF$A(jKksWqHR+kQ(gnL6<g11=B}4LIwj?N8FjJxPM+
zR}7xb6Gp7R@yq2`nj3nQzsxjVJayYWWr~|)ui%u_p6nEh<jF&t*1+Qzp7cpQ*`vw{
z#fd{_GQo*8zu*QS|3w_KG$8lXhQTr<v7olbX37j-TojmmWbSj=e(K1l6O*})BNp**
z4sxBf4x9GYJ{ydLY`R(Fd~td1=&<<ju+Y%<83{E1YGQ&`j>!FDs9`8JkLYalWJBQo
zpSR1#=QI1?DlCB0Ur$MR>{=dqaLl2srL3$>E(}Gm^dPz7ww)HKUIM8xJ%}JJEs~Jy
zi<z4T_VbbtczL(hMXwHreri`n&(9m`x-F5opKSN84y1R&U~Ll<NoNNuM5Lr`09Pdn
zyKtiWHyX67)4e(oX>V(Dn6NINo11%*#BY5+ImctWGB8EhMOjs~ZL-qQVl+?3Uo`7?
zv-1>0t23tePTql_dU@(0bg|kx6$XIQ$B)F6k8BhyEq_cE^@-mkKk-M8t-n4TQo_W?
z&o2ni$hfPTrwve<XHz#<Jx)V$pIG<$a84qh1)*)t9y$a-aC$+(O1#L->mM*TJX~Cp
z-cJvIYL;T94<M*Ffbh<ilMwBq;5FSH(XvIty-5B&k`?z6k`?u50Phx;m*eVT-QCUY
z?O8SL{eZ2NnW^*Qp=6tm6BV`A7`wdm6mniieQa!e7s4Eq?Ma1#j-wARGI4ezKhk}@
zayIF>w6*oz-2D4g)k^A01dTAV(4RKTBGfMo+2_xhn3*##omEvy!B8ya0~pl}I+v^B
z8el>S5m#<-!+TuC>g+YUP1vAQ@O*=UZb7#vH82LMBSKSFcIqx7U@5|mvkgd~ue1%W
zKqu|>OW@lNzg9!~*Jniu@tMJ>drWx^3=CS@+toD9rmCDvY-ecc=+dxl%o^XKWqkX#
z2Rb)C9%R_|7hB~-G&DLB2Gz;y$!5NOC>TW+LkQvLbUi2kKKsq_gsn!AF{VnEVs5qm
zZ_tsU$O^<g<v>^u(?jcVzUqCD9y>TVK*owpu)E{AR>t4tGXdRUZ76GEn1hoOy<ui1
z4L~lWva{O#{r!rI?dtB0rNzbmGV6&dk!1HAp_R&vjEtHZ`-L`==uk75BiKszj*ieM
zj|E8(%fSA%J0-xsM1P=OLjsQxIj<=WBse%&AytIJx1H7_4D68hH&-XcZ$>%0y1Kw`
zphF_X&hLRP09h|OK5frpXN;VpqG`v6JBos-=j)RP$#HRQ8FDe)l;J?=;WqE5$D<Z#
zc#DReAYjkX{2n*Gpy0ND;|sC1dRX@FHNWu^z|D*ZaJwGU1GIR28ljIQY^om;64Z6e
z3|m9?XUuv(p^Ysc2+br;KU>kPhH{)td)VSKK%d7uq^jj=nw0-E>5fxK79jXM7`#fg
z{-<pw2t8Dw^ZUzmOJ|Rr+7sPen?9Xiiy|9;W+-j%|5`|8{vPknQcql@C}1|j;|F-R
ze^Cg*$Q>#E)(-_Qyvy-hFoex!{zfE6z%Bgwnc;t^*#ab6{(%SH1Lz}i5fPpQkzLH{
z=zfAB%*_WK@GpO929#{G_=<4wwcP2wG}r;&;Jq?3IM<{sJbM9#_g7@52J6ILSX#;U
z6E1Dww|i+{uQdJz5B@$GH~$om%ZDsok6!GHbqY<y?{NtV68O-4xBA($XR^<pF^Gsz
z>*?vC<5A0MYEq*6`+bv-7ZMi9#_-ljkUUR$KIW-(7p>Zd*|du+;SxE8Ca!`fr*wbj
z+qSw>s+8n<>=3DdDvnfE3JrMm<osDaYBs+j^s)EQ{~i%abK$$!ai@N$OWDQ5%b1;g
zS=M(IP2*Vaq>iIp*)N=ywN%iaLi3&vVxoH5M|)~_0xz1IX|x{T7C{!#UViiLyw@^d
zslKUcv)E*mBXBOtPL1!hszo><D9A%d8}*=Ae~rs-osZmiy4S!M$LY=T=BlJ5Wmzo7
z?2JYMPv3D>c6=_b=vQ12R3GvM+6PBs{g(<LJ862S<lGk{PsfXc<Q_rU7Z<nCxjsD|
zux%eZaQo3bf16<CUU5@~^X`_nR`YdOZ59Fw9^bBUjV07AojbBFpr5G2-nW(79l=wt
zq?=wx3D=(2QIKq@z0`y(s7?^-nh9a6`~8}k4V3smj4wemDndpO<=8WYX}b+s5TsL$
zh-*kr+1<+D&9Cck>2})_43YPwP7-uvW|R)Qr{si`puh~ED!|&aAUIyGDfuw)^T#Qs
z2-y!kf3!DYTR$wvo`oF>Kb;Ruo^*u#RNXJzHrRQzVLmOIr+Cc5aMT?w3SeKd^=#V3
z#Si~u(YnR`pMvJ{PDtwaHR=`wE*+C3BnSzjW<+a|B8cJj_;0PhSCS;e;Z<fO-%bdU
zMJZ?Pi(7pgGUTJ~m+a~4R@~g|5b~d3zvvGid>i#=gIQAP0Syn-wV}-CRH^Rktbr|N
zyW9g`WvFG!R|JfG80JM(+1STTX3{r2(Pz_jK56~P6q~lbvHo@Tvth-<TEa|Hvc<kg
z@v*z^lAdI;0b1O53wDNiJGz}bp-!Vl{^uQ03^G!SB1hg3+5bexyG=~|4sOM%H&Se-
zWZIXiv*m?~iuwZV`(J9pWmHmcZE7u5iRzKdSa{!or~UkSd`<ZS38lw4P0W43-Mg^X
zoR?!Mx{OBnYH(ez!xzaE>j5A2>-%O{w=%CL^?+)Jc1-s4u{m+p!H+yPvJrzPw9;wP
zuSZz#`>X0;C>I!o`+s%tp%E`D^{lD&N~R9>7;=MBr)-RqIrVzIn>ug@!dydAxA)@S
zyXy$dAAbEuo8&@$5nm3pALV&^;HN&h1MXG)bh9Bzpz_)WFJygRgZ;HvsdDLm4g|Bg
z1#4Rk4URYAI5a{fFr#YAb@RMc%I^K@Oe5CUC&&clX5W7(sReX7lS=!)m~!-zyJ2Bq
zP&OK_*`YiXyT>r^YAF$)b0S(jKR+K79BeR{A?NDuJ`bqbO?WZ9!k*FF+q<Q$ZG8Bq
z{^mmb^6JVBh@wAgBV$;UR5iW1tugebxxWpXOr=pt$j&HwI(HWnue`3S8<SU5{33P2
z#-+)1bt}w8StfjOk@z<imwm&oT48`jeeb7$QfFn}u3u^WcGKeZ&K>9FYdZa_xgUX@
zt`v7zwzQC`8c>rW2Df-8>RVe|VYn^5Ya+rCFz2laZyf2oA5{@Z<UZE;v|idPwft-D
zP@ELA_I|fKDy2(QR*WC1%B{DowDwqgy=X{BOtgwkalI~7MaQ?Fu6y-y;^X6!a_K6_
z%HB$si8KXh2#4aqyX&iqp-M-yu(smB-P46ggoG_a=Vh#>J5eR>^XSf%&;+55jN&i2
zH;_JfC}+!7e-P<F$|b)_s^LzNzIOiF4Z*PpAOyA`Jkn9r@kiP2x>5zA^SU6N+8FsB
z%2L&Hr$X{;PA1~{|0ryh;*o>mH)l%cC*s2R4Pfh4ulE)O1pLkJ@o`?UI%TP)^u?af
z*Pq|tC5_g-)b+O8!c(1mSPMI5V>oKwdRcJ%VQX(ac8wH=aa@3(+2vO~6Hch_&EgoL
z)=HfjmG3Pd*NWPhw?qUMv#IjF)oOs|yCNf!w#uj5Ft1hu78xVwH|UHLW2u(98dOyQ
zTp|OVa*cus@^`CYYU=8;($eTe%nA_wjgj1*1Rj6r*7!iRi!B61q0>H}Yn6=)vC<vx
zoxn-$jfvRxPJlYRc0}>e8J~OLXSIe$#&WTZr?pO((={n;DujNCoSmuTg8NisvXhD=
zl`>d1A>%N|5T%p3%o@B?b8o<a?+)0UZk@0s@*TWSO4olywL55{Y6O7YI*uAY;MS}n
z<<NIe3YZ$(%3kM#?9nV3#}`elIa%S<f$rmV>fZVoaa&11j+W3PF@mV~n{&sviEd#R
z(Qlkk#CtxslXz26O@lhDGxOQKl_^FCB;{WLnF0h&-~`bx)wR-(szAvn9VqcIAdyz$
zdccf78*=Bw=<pat|0b}H@aQzq_4E-^gR=JHL!z`<_$iiyxa|C5rY)vIMO*MdX!S1N
zIOPGO(QN<Dfy={_LZ+sSV{)7_1MWvs4PO{00<)LJo-v06{lYK^pIvixtzp!z?NQ|~
zPg4N_m%z$;b)#ucDR=fqpS4MMK3W?3$a`p~v05ap=*LOR&oyr)x_uszKi4lXA!Gl>
z^pSeHJ5^1_ukmq<|IREtL&}YzM^!E6p4`?03i_5l_{$1$|HhFeO-adhI`Q~RzB>%_
z*RZS8iGD(zS!AMLp|6%D&mC$c#`O>Pk!BBrn~9gL?l?4wXljf5p@f=!9OV!N1X@xZ
z)90bbW&vz}QXjmpfV57IZoUvGa7E8;gWc!ieP|hGE6E~qnKVE1g-)uH0;1lnSiEvn
zZQ(VO^eO*O0+WICqTR@zHEz)GxQ74zh)-g8=gFp#w}MzWxBHnsD@UgJ4z%Wz403@B
zEFCpTW}XWEm{#!4KMx&j0C^cFlkL*ekYgK0vtuvFyYK|XJwF{(d~&%^Dq176L3$i%
zq9`A)w0V?j0brrRa^&Be7_}X67?Y%QsfKmR0HN#m;VcKzC|01a0h#TmPNI)C9RzuS
z2s2EnMC&+E35%LE>2KDQw*0^L@gZagBBEP6$M(|*{UMo^i7BAas2vRK6G=%_pgI+6
z)#*1P151Uhg2G||neHsWYj?%OQhhEL=%7b+=j&{#UdI~1S>g(kbxZ)%fF`A$s|uO+
zJa|4{Zre9r`UZjONJ9e>dCdrkh?+|*hFq6o)u^F8h}M;Y#$~%)irx_$gTDmr5a_G0
zUr2ahf`uS=fR1$tP@yM$CCvv0LRm|rKL)(O0A<GKMl@1n{}x!;>00GBOGl=#WH|?i
z2O1h0J;{PGKpVo1>1+uhVe8reuL8uQR=}Bqn8e8?4&5X_J3BkQxDa0UML-|RsP{Yo
zILej+ymFg_Bmiz@3cL*@aY|`oDLp+s*m?EtN0#o#n{q&1N__Z6HDKx6w{Mf~8@T{A
z=(?{l0r;~zUYeuRWO8x51s+}u#p^(G`VV5BdbthF)x`;h{%nIEz-sW^jk!6$$VdP=
zobKtFmTK}O^@h=jr+)p)P*hwDJOIY4{a+@XM|FVKhviEv>JH@3`2>IBa<w538IzN@
zj$82Jzz-j814sxotNEP#x+W`rBmN{zJUnJm(b`5}RFR|<`fc9K7;g)wl6m$F3&@$w
z4<DA+Od1vz062({0vnyv)6+FdElI>LcTw~__t3xr?T%;HcnVqzggt|+^P`Wkv4x&z
z4xkG(bXkDc1(%BdBYvx+3m6-KvOd<sy1KwHA{QLhVd0d7*W=&1H4FFz=tf*zoWo)V
zfoi_)b0C015DX`nS``%nzyQ|#MIx{R23rQGpOJ?r%I9iB4+6%b0QkT#sK4+LKdf{C
z>CUSPvgDnrjXXwh9bhUPw@OE&qobdKaUK{La9SJu_OH!cj82(ZSOxPWQ>PmGI**8w
zG9*5p4B&dq^np5xB99Xr1lAvm)<kHQPo6v>DFYC>7g*=sxZgS&PZo6KPU?LZ5I{gj
zr)QA@%sh5LScCxEj$91$^UXM=B>wOu+qy)lP||@qFAvBkerv3T{x1^nDrYv(uLxb&
z)x*OPNXs!%Q7_Hf?;^*$?Cc&M{yfyR%ge97{^Wgiz6Y#hAL9WXqvW(P0#q*uUzkT=
zP|(;vw%Yj3OIjJ=e3O)xR(&(I)E$q=J3T!;H@l3Cj5I18n1H)!r~W1tXr5|S-V&?M
zPMKsqU@3v~hK4{zMf&_^G!H?L_%1FQSGnxir~%(j9YO~+?ICwRTtym-Hq^hk2@MJP
z3OZ<Wrk)NE@qkI`zQK2NaQLxl!RSzF>9AAr0nDlg4<4K@C)v6J9zoDy@fJiro^$Cv
zmCe2U(c9ZJ3=D?pnCoEaWQ-$55-hS+pjDuGP+L!wg=5gVHsoyrwqPkcE7cINEr^Y`
zPwe7nlRJ>BmOvL8?9Mi7+qaVN*-qDR;x&E)GcFeY#tL4<1o)*)y?Sq_?a4%&sVaLw
zijcCaHvnnYZM$+sR!;5?J9}99j5n1p;J9jPYRm^SFmJ9;>h}&07xSvO=K;0R*4Gya
zMhIzlAyRz*d?R0YOQ7}Y*WvWbSVy|N{(L=gu(l8@L{Ko%EY&Tutq`OTzc~O&$sb!i
zD#(4KW!748>>9|A!CGcZnXIX(0JK9Jx5x43GnP;Mi3-5lMFqMIa6DV7k6rVUlc~=S
z*Hns8vfE(_KfUh!i>&<dqa;Yy&x(Mkg`nafsov)nh)=aM;LfxRJQ!snj2Animhunw
z_Yo~YLPB~dLKszy7=i>|B|PBh{;5?S5lHJE1cqzi$LpN^FGI7}CwK$|g7VGei0*Hz
za$0j3I7>yyn1FYw0BjPN!+`X109}U&O%U(1B{C2p{Lyje!Ehpa2Xr03&7`cMA%j+#
z6_Qm<iOc3#AuKYxjuNQffP8T-yZZc@{u*@aDEwFo_BzD_<Hek=-FEFlAf5MT5NZ#%
zr;^^}RlWz)1WSVa33#8V_mZLrlX!;ak9B)vV8Q^Z1(?TV$r~2n-eEMtWlzr%Q)Phx
zA+JBj2&nGRd@wT=K{s@>B$Gy+=VzYaeRt*ZEk21r+!%b?Y~YNMB8DfLzwa*f+i9Ln
z5{vuthqb-EeM@WW@R>KjR!%#&38Ka`|DV1RgD~Zt#rUTqm@AvY|Ivq?G2JPI1nhNY
zGdstA2th~-v;lEgD*o=?-#@qf&phw_s7Ldp515k#OBqT016j~xFvJYh2!#xV{B+O-
zh4~PK7dY(ck2VR*3BcEwbW1~S(@!W{j~Olks91%aC*cPFMy!Ce!KQt6?RjzILILrT
zN{M(keD2Tw9)$Ayq_TF$+|rKWA$AK(Np5lTKX(Uwq(h>ynw%Uah}*ytv#_zz4RjGX
zdHH62?gFPZWwSt*qlSF!7}@$_%%q**4E>Y77KJn97`@NM&411R82_zKZZ0Bf7RKUf
z_eccg>RvC`-IdT+BceC9?BBA0&3FvE_P|XO&jU0kD5xTtL&m`17(VKwi`UFJ7bgoW
z4yv!V&HCg{^+(~O{`GIEG@G{u`g_{l?1Qx<h?sWwY)<)BtTYDEE7&OWtmc6yT2c~1
zCI_tro)dPhvarKLCn2X*h%elV`TqS7Fi$nhZMOPd%j!=^Hd3`3)|w1!{E@lq56DyK
z>Vgk7=!E&eYKi)!Sw@y=gNkF;jYr%>HDTR-J&f_mRhUDhyl|Ua<dQMDESW=C6ZxQM
z_F$&Z@r}<)D~kgw9$Dk*a6x`U-Q|YY?sLwXeiHNmAr^kn)pk(^VZ3HA<CY+TrC?5A
z&XIie>Xlo59+hoP6vB1*;lty4?<=6s=NG$1>`b<Ux0=BAN6Kk^_Si`_WlISx6wXay
zG?k%7Wc8mU@hgkXC22G?u@{2Ql(h22OjYbF9L0w6?xK4{>TGA?x3eQt;kW8ZU$Kij
zawXQ#;*ki60NOvw;YbV~`yU<3fUby4^SMq0ThcxNfCyXEsD*Y4ZB<lt5vg5!TqUY=
zkp6_Q-mkT5#7v*a^7x@xpzaGOr^ifmmfz0nCf~@rrlhS3H5&%}jM;Tem1ricWcS!N
z*s>+7OU-?pNOB$H=!XUNd%PDrfjs|-Zf!YPVSiQxHYp=MRq;r&+qWNs=@_ujPy5`B
zp}_XrhSl|o5B#$4X0XDVeBjYh`fmS#<xc(=%HOJXXc|lXm~Kg8oP*p%M2fe?5tnfT
zgcpq>yR?XdAnKfR`CHm<_@=fA4O{=x`)a|mb(D70rT3cRWkC%&?+v+iD&Qui>J``d
zLxP8$d<ex_$XgrLx4fKLDu?5V|IVGwX&+UMcEi&B^%e1bJF;S<x0duyqQdWC#YU?l
z!tZm^%tDu*>g8%{|C_B?Rn;vK7?^-g(PCIQ_FPdMc!R*K>jl(v;v?HsiFx7FMEU6v
z>hr4wgTPJ1;Fi6L^(@RW;~TcWYXe(FLT{G3ui>29%Jgcb&VZZTNfc~3D#I74I*3RH
zNNS70yCR~ZdnYGmfc^j`RRVEwaYG}c?u|OYsYBS+3w(o#Sc<^*XbFV-&Y0LZI)#bG
z_(uwrtLM^6M1G%&H@^PA{lcL^0^`M0b3PtiBGhYPujy_=q2V`69}*@9sws9=rGX1r
zn&`k((XioC4ngCr9w%<i0G((BeO{V>379-`@{CZW@wZ_yk!v-h%sL2$=Qq(ax4z;A
z<e0-PtuyoL&}_iG08_SljVlju<01U2z`V*0+*ju(J4!$jVWY_ta9EU$j)?)uglum6
z0>!LMPp)YV@)g9KlI%%5X7kxYDc)0%gukJn)c`ESEhkH?ElRbQa-8dJx42aY3cGKi
zdPvlh;$h1z7CBpDStI|rzHQJ5^+5#HIKU}ke+C&!M&@{5`XK=JF@Od^`H+^@2h?;R
zHet*j^og^8GKtThKab<LSu(kw4kKzl0J|H4mqu>}*BsP4|9*S|98SuCLi_;(JltH^
zIAhBzLd~~M-5Ne}Dq_LH`40S8gd4-2mmRp<yd4PQAmHD^pMAMg|CYEgyu<4l->%Q{
z9%pfVYTu;HH6b>SpCZ-^fSy3?O35!M_z)I`!>o`1X#j?|3Q&w9;Ji-E91{!znApvw
zBMw;#-NIn(GTDBwb>Hwg6am73YJSVsSl)F@)P#+fQeR)bLL86bGKDIwnw-{R0~9PM
zj@e&Yxt*}ha;c3IMl$5hceU+$izn1JAGeI~2JheUA)g@4!*;QB1xqzAadW)Hg2=?g
zWGQB-+<f3IozLY!=gZ*qWU)k<WnO>Qu3maj15|DDt=(rK{?Yc*VYU&fju(d7<(@9s
z)T}pXZo(T*8{b9x4DUS&4f>^m?r)tig_~=jBt{(fB#4Xe2nsdcZl^Z9fV*Ht#5a(L
z^-qq%5k?(;zg-6x0cBK-P%F_VjFhhzG;k21V-{F{0i*#{Yh1c7C!;$b`Ihx@nvI5*
ztE!jXq_3DiynbDiB=a%8RZ$6v-sSp+@$(QwCV-V;UKs~H2+Iyij4P2NT}DUXa(mP0
z0?dJIB|hPI71UtorA3PEYgbLKj+s1DDm+Mhb8p=2W;G{9OL=$49QybjcsSyiXXk_$
z%P&6NFVD}sdXrS3$*~B#@hNe$<bg<C6z^6sAg5==$1whJ*+o?$Tx}$2BQ(2s7ATK3
z8sQYak@-5$VrU-;u>D)1)NSC(E1#bdi5_CXQ*qy<m$t3n-(T2>AE?+!OD6v}0sAcw
zu%n^OOv(iwjKVR52+|2fUKjcEQm#rzsyz{$3x{!W<Ss-pO(3jsF*y6Bk=c9pe_oma
z4>)M&qsK+-o3=}RF6tnsQcz}S+x==2TEAX%;Ul)d*1x4)u=LdbNoij%{B_@<*U^(_
zN+gBQeQL8n<whM1?9=_Wtj>v|YQ>Y^tU&gV&Z|m9{hGZGD=RC==Hh^a3En6HM8Bzh
zG;Gq_goIB)I>}YDi>&8;#<aJ$2Y7*-f}E58=(x?VJ*EsL<p4DS{wFg&X+UBGgsu6&
zS2PGPaUkh~Nm>JJyAgu=V1q-K?93DTRpf#(Pgfl~3mbq?!%IRB<HeUBudA}im=fKL
z<)XS+G?%BFzRJ1A;9=YlV4(6*3c`nW<bj<n0|}H}P^)Ar%mE`V0KKugweGQ87ncWp
zXRGOv0<OFCRQy)6z#P01B|~cfv{Zn|a%-l+9^MEt?T+s51#q3|-h3;&W=Rn6#3-w%
zxNYQ?yPhq@V`5_)wPIahY*GtD!+?Se=wzDTOa`vsd!CUf)nFZp8apfxwVx{s;*;&|
zJ{6I*Y$Lp`1H_uR=MvvG$Q4RYW(;<@hsVnh8Rn!$djw5qZ!d7_#>WQ&J^<)jz{xiN
zYAPWAC|;kYs{Xy@_pz(103eg0CK&j%ivaX21E~VI)sg$tW$*#yptb|kJP)YA0pGvh
zL(l^<k$DB40Hzq5n(EqJ)zpYo0bA=@JZ6qsex_MpDk7l=N-I)<*98=?C>kCZ^om)=
zYBXy+TQ)^vat0flefLB)9<OyGm%*;XHe1=&#I|f8Hi{lGFrxPdS$&zjhNBpK8-wVO
zK54Op8Mm<N2V`~&UG+qk+YSR)rJKWkAob|Ckz{yu!<Y1hO&6VhaUFJfwvjlQ$P@Wx
z2KM!+R1K;Bd^~6MaF@FYy~R;&1bMql({~_eJ;K}Qn2WhWo(hMV(PcYXDQ3)WqRzub
zzvsGD@)CY*{oVF}IqZB%LgdPeYiALWKnuLEw7k#5!?ToMTvP=953#DvM@F$epayJ$
z-R2liwKKrt?u3Md2rdi2an#QMBLhHz(3uf983HVStzZV+yMNyh7y<rp5-=e#Ap(L?
zKATAa(81=D6+D3ZSXu&%7I5Ya0O*CCM|Jx)qT~wr%FO~y06PJIcnF>MsUKI}>D#w&
zk-<D4D=?5aizk>r|G4=B#n1XFW{`Q~_Dx=Pfz_ywDiJw6x?%M;#L$MPc)9S=8NKOU
z8SgY~w)M8U&GWt!_8JGir0YF8beI=%ecThWsr<nFN4@h#r#r($r-mIdsFG!O?Wa|&
z&Q^RhetENRWZfiP7t`JOE^)Ws^N1)(?*_lJbItQMZ#2H4v>~gYPVPc+oQ6OJRQQgU
zFw*V8d?FU;4oilu%)~}ria?PC*|)QR;qg=i=->sGO^jl=0`Ojgl^r``0iY_2VlreF
z<RW|)gDo~^|K16nEMWguN&M<#PmjX&LD~(s^ZKjbT*+9pkyiOgBrAucq;}(3t*y`X
znHeAk)s}=(Q&X2j-}I6FD_;{w8XOTZas>~+2Y-#>`4$;+Pb5LjKx6JpdYMpTne8oJ
zQuY;BQ%=>;Zz6D~*>>y8eG|%&2iVo5`SYt~)C~DMuMM<Tc*(<m`plsyl98&Ysz3dO
zTPp|}>>;Mqs%d)Xq&oa^zgK8{a<IOw-BtgHw0cqXyqhkbrC#%Rt>gNkmSqh-h<Q;}
zPMM<(|0T&X+TM-<)M;cC6hW}7gVhUM5eVDNix;=S%1$pS`3MrKhLKQq;Boa$PENk>
z!3@YoAS?Vs^^CYy1A9dlm`A|#4_UX~ut7`@DK{3RUF(-TF`E;U$GN%#1QU<mWjXld
zyjb}qc2RU$TmL%8Y!m>C5TBVxzIw9UXDhaBEA-xX9;RJ+-K_VPtioyYAB!WWOTe#Y
z9wyX?>|$dwfZ;v%sjqCiK$M2tzX!<&F#18v|1a-COhz^YDqawl33;ws)COQ*Se>eV
z1WekC12S|>z=;Zi=s=bdolW%?KdsNDeFUAjBA^K?&)0Jhjyy2IA(sGj0AAFLCNoI3
zRyAe1e4@;{*@}PS>T=80r+T&QWNV^5jDojoWs~qEJ&R|=j|g7xupjR)iM!S7ci=7{
zHPxRKQ%}9vl6M7B=OAfEePrnzF!knUm+jQLxs|s^HMDixx$&B@WOI0~#`<BF{!P@g
z4ZV<>T#o`x_LBOQKI(G|4AszptDN%wZJ6Zcr$<ZuO2V8T6No+3d8;SzD>elnT-j8A
z(gWHNc#r^}*cD%D1&;<<HZu1g<A3?~kdk;W_*kozd0)9#BT6#BWPj)D>q|)s!i<N|
zLCfSpsr5u0lYAVczs~DI-n(DM-X2gzVF(oyN;I|tyf9fxX_T$(M}h9p;i!_V8J6WT
zB&UiUcMz@iaCXzLynL9KN02g@YSosiI6TT&E<f3jD@cE}U6&a;CfGciiHxUi-u@=u
z4-{vD(W3@^K0<!_)Ln5Xqeo#boA=z@0w2~JC|t=;WVcy$e8z+3LT$nwxaEoyk56>l
zzZ?mJD(2ds)(B73FATsDGw|>f!pi7~iCbm>YbG>N7Zg;zKKKnA)W?zK#wR3n0G3!z
zLBSYQ7%$a2ko`MOY3aZZWRC+t7O2A0qXu-(ddGCWk6~*N+3NmkZ;Mh5i7#Ukw9v2x
zd#UpaHkfq7C6(XA)#~@u6t~2m?w`i9o*s2Dwc9!LA=Oo1NL}yVY=7;Wp<Db_H=};k
zzp;2FMsS_lrxILO$W?Be7z*U~X4t|HQ903u>zzkLXDhm!de$4YWj;rwHON#JbwE8s
z9F<nDkLn&$h9d|=z|`Mg5!Eg<lnN-~t#trP?~NK57bw{4LK^ieE<b<MeOZ))x20EG
z+0`;Kzm5Ouo|fobc=!0I->+N{8H=8}**FM+C>fil;=rDk|6W`rcZ<r~=V@zYXF=H6
z%m<#Er2WwVjL3cOj^6m&rHI%V6x8u8+sf7GIoLo5$jH=kCWu!Cxuvt?GHDnJKBne5
zJ@xwMMFDhuDq5}Gfy?UCUjMonYssTtqwfcXZtmVOk$8eaD6N|6J+5A^rd12WD{O35
z!Iv)<uKsxd7&{UsaHaAAqjS|2iOci+p{+lE86fD_LndIn>*NafNd$wtD9{6&$iMi0
z5QR)J&d6=~_OQB{Efi4D1TX({&tJ*^qhb|v7^gipMNDt<cvMJZGm(EMN?HLMCJj$Y
z1E+s7&8I&%6ZilMjwWt_uir)PuZir?hZ}lCT{VS&OcC1NL=ZTLqs0#tiIp229%jO4
z?bSo}S;y0sHtqg7_xB_#=i=_Z3(q;)Jkj{bzc5~vl0`Wg8SlVa1$iT|keU1=pa3kb
zUgeZs44n4!qXBXmGw^r4Cz8qq7iNZ;o_?KN{r|$K4PX2>#UIbKnd!J}PHjl*dXsja
z^vGtl&>uhD@l1_trgedmE1DEGmDe}5SKnC>NWkgO5u7B&)p?stlj0#KYAoDG6)~pk
zg85b}{j-uIH+eEuQpdM(FG8_#TsH53uMf<pZrOyq6A$!{?1T>lYkx9gDlo=pzgn__
zCr!-7-K%J7w*b`Nt%B=<++O>(EAa-7C~kU5Yx8U!!0;Twgm((8;133ehSvJOpg=%9
z7D(zqLSa5tRjM-oEWwrP>;i9Lq9$17n9HGVh%}+7@z`Mamby2WULjrG842wg#HG~U
z^xbx&Wx!~8<6EnXgUbcm-R3(LqFA&W-yglPr(wfyh!KZJFPY`7^bqZqKi`FO?V54{
zuFf)uVYqCEc(NKDj|3iHACDP&(y%#wdt!_gn85g49idH|H2NZ0DK*#Jmrmq)Z_xVg
zj&TuX2fK@h+5dlQ{D1W4Y{1RZS^*OY40A%^tQC%Y1}O9J{WhNsCvk>&L)|z~mSHAd
z@OBG@y<w(&d|DyHv<_CvRP}lP;BwC9)G)sp!9-zT&1O5lFfFZ5^{G#Wd-ud0656Aw
zvWdi@2Zr9)Kwpe+0;YXs`PL<X<;zE?OPH!=t*R+tW#ZT6_+pbwy9F)b!yCqGrl!o*
zE<2{DyK^LQTT|7eobXbEW_0h%JsGe~tn)GZcgpU>-!w(WOt&gKR4JY?DeGi$koh=r
ze|_{}yueOv_>m&Y?vt`DiFjGB^1JQOn~MG=%hnOzlA=XFS+C;jTgGW6N|UMG$kd$g
z7q241o&g?{bgRlWKR2LylgNPK;miF0lsvo7$+?X9`vL=Br4o9V<)@V%KZbxzo}_Ey
zclk#h)P#nv!jCb@#c{WN3+#bknuHt-P|y=P#k>x`9$gxG447(mF<A>k&%X`Ve*k_U
zV&jaFt}^OQ79qbfUZ0;u5oo8!@eDN=7ME>H5BM#g2A<#pLJZ3|1@$H_SJ3O{dKCkV
z^gx+Xj39;Q70>pFVE~>FZFAucnIQLrDEZO-yfr?m^IPZ(0W6=2<5HHdHL&3)ZK8N#
z3K>wR%dz8Lf55e+<;V;5IX9SRECgn8lmFO$<M{dZCrOvg(@`7@wB>8<D^OF!SuYH&
z-TqU$|L-`qk1W*)nM68_{E4x#aY`G}ZFuz9%h7`EGc@Nax+r-Q?$@?YQ`Sdfx^%kE
zcwJqG4em0OHtX;Icrfr<S824k0s?3Nb*|}qBS*k(rH-E7E=8oX<ScsVCS@sucqAE_
zjDi9V5cQgdhKPK8e1N&C7i@id2M3J6j|Q+FkObRju8+&Rr~5i%SlBqk6UzL#Y!j5P
ztAH11&w3;wX`}|vccA&58Ka)fj8OcdJ(oQgj(8dgi4XrpwMj&5L#bZ#+Wo34O5X%#
z<`FV7VRlXz71Pp`m2?u}x8s<H@6tVrcYluRu>>_N9u-`UhT>D4LI;GM%+Di?-V#<S
zq+KEReN)qE*WcIQ7cJ*KZk?bZjFGioN3eE=rAzA{VUAN3_GpWw+OF%U5L?E}DlgIS
zb?3OI(u(t=8q;3N^W!a#y^z@NqjatR6<^0g8ICYkZ%vdFk&s9Mb2Jdc79xEv8E1f^
zpW9x1aX@!kaw6dwcPfy^BnJD`KK-@ib5I{4-AXxbVriXt)Vk$7nt$_;YyUFja%sW)
z3@6498hWG3TIK@CeGLfi4KQ)eEq4Ixk@ROB`V!mu&%TnDv!7n<^1k+p<fqU#uV{XX
z@bOI%A{<G#w8<g}b(G(%U$qzh=SBUu7F3i(TLG@?N)`1OD>lQ=)hwOg$gf}i^d>L+
zNWBY7{@z%c+O>-3BC2{W@n+wU@zJ~!e(RHhzJQzW)o9H}xipl~T9gDR*2wp7xJ^(Q
zE)5j4WMr5e+~)oDPtj603|rz#QV8*f$=B}9JBiVLAhx}@x|Bce*^m()pJtPiY$>#f
zcn5pVHTm9V4*R54NZ_9R8xXvm>zbOL0wr}bwPlqZL%Dn(Y%FGhcaX=X>8Cd^P$V|f
zoaW8mR)3u<O<lKsMFswJO#OLNIKiwl?Cg+lye|CH5E(Mxuy4gJf27n+9Q^V?dfN*V
zoutNO@AYA(JQF+e%UX;U)baShM{n13=J=27ND1t*Y>8?Hy7>oNR+3kO5^%~qPCTv-
zP2T<DjNiCh0W^Q$qvlN594|JDG(sT^?D~(Er|tw1U)~fWt(g<%y4;E4qecOdPbHAg
zy(;p%w{AH|kKqjsl3hbds5#%h@uBOyIHGGDUAi9JD2FH|Ot!|+lka}Z-OPFOxo}y8
zl+2i~;X8Q+FQvP;0o%n6z4>rQB@lY@>Nvng*&$}(A#OE~Rv11k@lvt{?kTEo$l^+m
zS4LO-{M&6J^*!uIQRA}?bbcO(tA4}oQHf5i)^4RinN!#~-0tpCJZ=y*oJzX%aykfl
zdN8yvzaVFaf>`y-&pYN&SUJNpr{NSw4?ETYraag}a%u=Dh|1w5x1#$D+nED2FKn~}
zrRt$0lz4ud@4K9Kh??C!X(cUHP-f*f#b}jltiWHqLbp)(kr?U4|E=$T7oC9s5#Ye}
zMUZ%k8C>nc8MxB<#X1RJ)3g;f4~adS7X)fN@gRj<KN$cs$Ic{`tX|)vG55PJ0pv^m
zK<VeqTHF=GV^4jOQ&_y&C3=~J++T6=0$7Af+1?CZxnudj*T)_sd@0~)nM2gp8?thk
z_PsGOzlw(^cwTMA#gZhW&Vou_U_3Gq)d~4lLhgGBD*em*8591wOmZ?MGmkVry4>N8
zlt+0K?}ZqoNm?Q6w1M+2Mws!+P%!v=PTUVIpZ;RJ$^1Dhkf?GKG*C^T+uMX$X%Zci
z{-=&PswxxEo*zwvjV$5>M)G>Z^Y9_|T=}^##J6LQ@PhwZy#Eh-?*SB5o2~ygqM)Ln
zBA}8~KqMQ;QALp;L86jT$vNjF0tzCMk*t8^oO4n^5KvN+bA~3zCjHk|XT~{mX6Bq*
z=l<)~t<zN&d{7_Vy?gKdzUx`f^INm{|D`xGY$pG2X8A>h9}X0%fh-AyHQ2>j?d<KB
zo4JO%JJZsQxg6H?zz49rv7xiSyA76)6k~7~$2j~o`M<rqX|?f#uLXQa;5v8@5r%}1
zAA4C4_3%8q-YIB&j3KudL_J&@shjUFY0n&dd79=?wx+vU&u<Cw5yUIls&;SuCC6ey
zBnlr+0#2G#A0cAY0JD+2sMYNW<1*b?=g`hHrJK+QLU;kUfQ^xI0H3@5Ft5!#ID<{L
z=RmUqBgnOLCl2G|18{)I?d!ADC5+mCi3lLyS%|x}Jrz5H&Z36IVQTh*XRnRs5UEjv
zaT!E(zzYeU0qEJ3)~-Of1019FHS1tW085jhJ^7C6-$cT)-2>g<4yO&mTM6!fl1p%x
z`1=Hmjdh{PK;uZAw|-wC=3bHQ-a0x6`l0YS5D9KwL_sw~;^2wsbfTEDM|~#H8-nAI
z4gRV^qaN7|V`XMib-R%xuo~kh8{58DxB8{9DfH+N9zCkLy)v-|e%{*L>1jPgrUQRi
zHJOGJSb1=umuA$Rjg!`?OkaO_G!r>`aj*sTfJQNRMnG91=;AXUJxnC9b_y)?QU!&4
zmXi+(O@~@QszPiUEcbpo1r<_E`ZD#~KY~+ze=SKU2MjF+#(V%U19y7#^z^i{PnST{
zknh4@O-5rgGmizaBTnz%zlSpnr!dA!*P-X${rh<!;VSzmCusdVNW80l9e-*_Al6zy
zV|KOQvK6pI${85!*4FUcoP?(4#U!cdLl^1klawoJk!yK;MLx+`Nk-<@<HzSU=Ws|#
zNUVQgT(C1qK%X#&KM@v|VytWF!d439?}}C|2jbHL72N}L<hU5C%VEOOfC}J)BXsuc
zSyUm<G3Y7s5mF1Ds7`;JcNBDN$PGbwB>=ott6<qN-`z5oisG*EWvguXE&jj<07e-+
z#8L#A)Y1H>h*3a48Is@Hy1Iy93S76D!3sVlHER-lLW<;E<4w@l&ybROfsGD~K9J=p
zsVTzzoloe;Klp@FE&AZh0`cU$(?*YO0ZFE)2ee#7ai4KUf-R0rRnTf$Mlt=-Z8(oW
zi2-XK1a90O#*17x=(t*@4ZUXF-K}LCZMdu^1|1hO?1z!Nv}{dcKBg;61868vawrsH
zTGo#9DG8hQL2n$PddOcj?JHzK8V_;KI~#Bws<zqq`uakg>_nb!Yhh%yAU(aepfk4P
zs!o8H2zXFZhId7zBmw*2SWqf}6!s~C1sIBWxVwPIY3#!~SQ`<qIhbh5K@np&?0OB|
zk?-k`Z-PMl#d&i8zZ##~=@tm7U{VBsU`}QonK{#6$%*p93Ki3@MQFeTb>-&Gyhfg8
zc*hUl&p%i!1=*!H1a#`?OtrEn*UqsD=>_2Z44@$|B0yQDXX#7COJ83aR@O|#B8Ik8
z)B3NG1AsjK1!)B`Nb6EA49}v?S}LC&su^nM*+D{V$e)am%axdoPA9(R;%B+BXF?5K
zl|R@N?5`jGUT5z93x*_5*(VlQNG%QSGvX0R18vHwHj~!slhvWJ6Baglzh2$t(Oa`%
zcA<eELo_#OwcLZ<2Xk+OfJ@e9w)hWI3IsFz-~4Eg)bXg-VrWd#a}E8&^z!qUiN$a0
znub14lf9JIQ~85OF@ED~W?<kMQ2CA$5!Iv7VGxB23=Q?F(bNR{U<;x2th)x;l>irA
zV$LCAv6_Y0SMOGiT&cSC2k&D13~`4_hN4Ny1Zi7aTR5*Z(qCX!Eq<$2=Y<1qkKyb`
z*h=ihhjrK|3<7HEp%$&o7D4Tlq#p9DfA9kpnbP-8k}mS7Y!peFS<-&Gx=7Eew<)&u
zj3{03Xc7xl)iwf~CWLq%dGW+0?Dak)RaMnWJHwBT<*#{wP3G;jCG%IL?_P38d^T_-
z+O=x!$$hLc94e}ZSxisvZ}*~E`nr&p6)WMbLNn5MMe4ZdU4u__5sLpZFT@@beV|^`
z`_+=7R64*n=aJTzD_hcp=UT-MG50(*yeRpq$T|6pIZ4w-ZHHC$@z9|r@WgE5kCZAd
zSse-onjcw!^`V6WoHwChpOHPG@}~BK+LEH_(G?qYr^~VjQH9mPC$mSDc1F0V7jo&e
zKiYcUelJDPYWyf;3CsEDt+8uN)z%Tgog-8j0DhS(+g-MJ_fHTJOgC->GG&zqZf)5i
zXdUqNMU!N{l!NSzgq1tXvbEQd>_hEsT9z@yhloo~0NA0!uh6i^LTdZn&_NLq>GU@7
z=w<Q7;RBZ!V{{u6x+a~DQnd#vQ%itcjM+g;seB-qA0j}!Emty%*4;uQww<yNMnn;h
zde3noDhuFC$jbdEcAEn7+G4xqC!o!UNlQ;bee^W?^I2y(p@r@ZDy~e2kQUd9V;(7k
zu_ES{kPox90k=i9cUf8{jjV=K{@kdwU_+tv9E<Fba~ZV@Q|`ejYgU5n{iE~z3k}J4
z69kzU)36oaeKPL1)f@D6zU(yESxHZQGb&<aOnBOyW!>f6)BhM6D!8Gc^bdML-z4+X
zfmMR5jeKHeQ+n7c9-N>eGIEXG>@ViUW&b)bBx|Ux@@Aa4=UpM&p1d|C!O}$LA@zlU
zj_bEMPEiW69;)u^tN$8M9JaAYSv{_?Uf_^_IKq12zLrh|5*{jznG@N1afE%ro*1v)
zGg3`4&C}i0K6EH_x7j`5m8f%Pa{Rk#-BhZSCpe@gTOmnVJ{AvTOd3{wj%GSp>LTO{
zB5&p`_T!%%N;|H*zv?)nWZL%_U=qzX6^nsqe<S~v8UKp>dlEJePT{g?Fdq`}FQGsH
zP7AVI;avPU-Eb^hnP<h4lU!r}WimOo<7?&J)TZePl?(?wY00BBnKi=-6<p)9>N}TP
zo~^A^Y!Q<%E505qjk)*fW3Mq^1yPr1L2F*k%Nk*f-f1P-MMoQGzMcjfJEUE};QI-J
zu+a3&GanP#-Q9iZ=XV5YE7JoB5Bfe}`luEr68Kbgu($Zrztf0c_S?Uc;-KwYFzb>f
z%L+US(t)gUy^1v&xZ&a+O1*1gaU9WWZ6(J^>I#OsTRW`<aZjDsd*W=KQ#WdGwA5K=
zr|8jCf#SfsL+|KYTJ+`5<7PWIbLGqMRdpeFiY(K-lR+sf4xI1o=C+fz+IOURm|^{@
z+L)}%UQ7i~PpKCdo!aJnlcL#$GgZ$6eXXdDZFoI@dVh^p&zvW7u<%#bXrsdJvv>zs
zm8htwnAOX}!5A#!Pu2Y581cCq&yIqbJ;`#a<(yxkFx*@5;cSQm^RF9+;p`QaGd%fR
zF*q(Lc0b>^rl&>OQv_)8jVlXu4di(F=~$xP<NXvfNYy`$$N;z^ai#<S0|>j8zW$lG
zXrJnujI;uAz>w#TaM5sTpAG4-j-O`wX(6Iw*7Dg^BLG&E+u^I7PSN-yh7>D<of0|_
z17-#eVy=PC%SYI@gY{o<cS#s-8gsOvO!d0~>NgiZPwRhJ8or)Omi4S%XkU(g=S<1j
z12mNj?}_asrj4Z=C`@FvUq<xlcMXX<mc^J?zL6`8SB|~LTe?}J(Z@%}9w0%wK=ib)
z*6|%l*!gU=F==Z&>Y#WU;sES?&Kt8$Z~>+5;*bqQ)@agwHJp#J$;Mu!NEyF<S>$3H
zwTZut$g|6`#H<1Hyc$|sm!S0m3`HC_4}78<PFrSBoL^;Piih1uIb_?da~HEr96m}F
zGRewiT&Qu}8#awJ63e>Df8tsK3IE_RC)E`;^$VBTh<EdnFy=!V^PX*%%CXD03qRd@
z=C(RYTp~}TdQ7sy=vY?#6hATjHzF#NEOoWZvJd;dTuWm6)_+21Dw<{UMlJAavnZ?M
z2mRYq4kC7H9i5SNVB~ubThD7el^e^iq#$hEaq8aqjpFh9L%&EAih?}OR#xm_v9Pj`
zA3d5RJsGh5P1DEXrs&qyA(NivlNvb(b-LHFc&E0PcI=My3G(~{VWaNuR^9yIl7t}e
zE+niz<KHH3PGVqfK;vGqb@v|C{H|1(`x)1GDBGv_f(Oom5pI#l?N&A;ZLsRH-o9{w
z<}z8=!sZKfW>6uuG>z3s#g)Xuf;A7cLv7ZP?7i>|wDHtMy~zloY~s_Z>^+@ej7aZF
z)u}pVtG#kE4wKi^vp$+Z5=yycbp`X0POe<Y*F!?*j7zH_iUK=I&2E6M`|+Mv!O*qO
z|0SQ^y!D1HUFoOJ=stov66%+r9-OAs+zBWpnbigF5jyEj7TA)gV(bndR;c_o?*5|*
zADlwmA@A_2XLg@P3EH1qoD3j*E&F@R6a{W(bMmfSS#bE=*)Qyj64a0E9xl>0HTzuP
zYHsoDFB_w)urcgAT4s2m=cei8^rr99NmGB=<b0^;Tk@4M``ZTUA}bF7*R*&0HtB2}
zZY0@!G`DECJxkpyyzFjtBS~FCt3^j@ikePm1?;~JzyG*361?UC_Yp&PML@LJs~3aU
zLqI{uFW0|Z<+4Sw4Q{Cugfye>Mb{m6%qIXsnmtu;{ly?h^Vfjiy(dvM*deM)l}#yi
zS8SL9LH2uJEFLtxq8q9zHR>P!wla%4$MGP>@Sl%=;iQhpgWcx;7ugo0`>YeIjeDCz
zt-yXjg3BRF>N#nfok|+Z^Ledj!14jNdTBkqt0<^_E`lW)To1|x1{2>43;v^;;9GVc
z3`yXi0uxC%h|Fc$VAJIRV?Lwn-b_;L87eAuEpl+mBEqY*;P#6!4VUw7|3Ml+L5kxx
zKp7~hB=;1eS1AB#8^K}t2+}(u@d4oc?dx=0ZRSFvB2bwPXA}({`U`DgQz_bJ4Jvxj
zJRtjU9uOK(V`FBUAu0ux9fAcxoImROu!->iV_tBT&9gq`pNNa;?i`wul9Hb>g{9?X
zh6Ba1vc<}Hs7B8Dk(f5c#1t|cxwr^M^I9Lec;m(ygjHDShl7g;U8~$u{?`s!sjE&4
zB`c7;I`}g4+OpLW7G|7iIi$?cKbLB7AN&JlyOyF*_cGEVqBJ}QM1u$+A%%nZb)Z;P
z-7h&p(O0Mlq=rv8;KPFYis3ib@b30piRIJ{I4lI2LSQXLm=M52Y;0mCB|!XWz?{In
z2(U<~sk&~jWsW_W+D2YHtXdS@W^Ql@lpeW$kGqXv4OOi>72JMNA=pnS6vY3|+@R7F
zGe)<T$NnMBgfL26x0^KPXL)jsGXR(`O8IxdM5c^9lL20czxn(7w;n0Vg9IH^4|Y(x
zH#I>uQoOg(2Nsu1OtzYob<53aFzWY!MH7yS6GVteLR}$w!~8h+1sF!V)UtnGx9fMU
zdw&407V<$i03V5p;4(ESa)N5V-)XfOv8iof`s9F14Amx_s>yRpY@!gCeA$8MSJ$;0
zgO5)@-7-Etj)D#xX(*dU3)q~%rLGIkFr-Q^Hv#{`;NTzx<JyxS(o}O+DM4zhJxQ7^
zD=a8T7<?RaTQ6smW}~K{o`UoZ3T#m3p5vqMR^jVYkOADioTU)m^3$F|66MJy5I1m^
z&{g{(NS-6p1d>32>bSzf;)gI#1ROWsMn^Xnpw*iofyCpmb``2<YrS9R96ds_i;F|K
zA;}xWlLdu!6S11Vz{WWcutpIs6=X*sl?J~*fueF=dstgr3nJDDD*kY2*Z}eC+uKXR
zQ5O8`oh4H|@Qje)0_-Q8H(KyvBcD9f<<}sS0~B}>ScUOC-aECq{yryPwiw?J3k|(t
zx1{;t3USe(0~45efJ%-KctI|MXF@_z&@39Or*=JT6l)DwUOetXW8-Y)3`OtxuSY0<
z+Oy@qnKe$F&$YV1QmQdCf9<Y;LQ$*HK_<Dw%v=kwE5Co2fj4DH7Ye2Q4c(R~arzQl
z>lWVD1t%#cxu8|%&ZJeu_4!7oozpu{C=1jYFEBIYf=~vZmZjK^Y%5qG=+AQ)$Y+=U
zUjzYBmiR_Q>HdBb$*S9{;&of85TgC{xN!KtJ;vdC`?<vbXXb*RamrurfdAsWiDR>$
z|L<r8|2`n|@}DXRXDku;_&=8cmcqf{iF-_XP)ajWMrw*IcOs*;hj-^DVA6E=O0T`b
zjeSrzJmM#9=lC~+LS%0cQS1WG4)$|1hyr)<xtT6+T4kStjK#)!haX@>csY-F)IdB&
zbWg#+eQ~31s;b)b-uF)g`)3JVPaL5R)7ysLLdUm}%a5>4J?J2G-4Xx+47iQ;!t9z{
zr=o2E4SRlOX2xpzI}Qq5eDd;VK@7|{8R&h#{9<GAPFC2$)AhQ8aq!ggJ5}hP?fUlq
zy6C<4wt~`4TK;@|C-hN*J;o9y(T0%BvE$<Jg`L<~RB?ZEBkocMFSjudWXRZ@a>y25
z7Dmr`t>~~^?zBulNA<w-HF4nx0V$mDLWdSHFNz$5C4}hlVf!KL-R9zPzdbH_-l%6q
zV`NUXSdil5Cyx}I{P$}AIUX`CIr$|lvaxViYfF)%M`*0PzVsun`g+!8ljb!l&Kth-
zY}>u_MteRZZx0UB^4O*DlJn`^E-l<a{`T5T>Ab@)s{0>o9J5=YSNV{ZyIQVC=9J%e
z9w|XL#(5j~wRZNt?Tvn`sv@nf6MFtxxhDcHyi8M99R6HVpQiby*78l~O0vlXD<{<!
znZ+PAu<gwcRz!lvt@NnSc5!g!8Jbv{A4&4^*)BW-NuK{;cNK;L{4{9x4LjZ=_HsVB
zP-N^7=DsNO%GGX_w+CQwY^!;xmF5>*vuHS0f0*<|S}4SdO=;hLCz$Wkun0Y{_2FDq
z&5|SCAw((O6z78BYQkk1#H9;O?fXt(tMI_9BpzHA*SWaJ+$NhbL1KJ1^Pn1gzj$$Y
zWp(wPkgFibsdY;`;i04~%JPoXkSz=j4hF$<>_;&Dp`G3kdk*~<HF~t8rBuvSPcL}h
zf78BKl5-;bW<YD!JG&HbbR4iGuk5V-@a<al#oUY3XRxM}O2j*HP3~>LY_PM$p6=Rm
zQr&YJg{~abjQud0IXE{+0Ubi%8(Bu}?-s{6x2t%#hSEVUykhY7!;-2$xRa64qSiCt
zk<UE0aTqUt=DBsccG7tsXQ~oYq2cNVxLHxe4+s^F4O}j5<fWImls^^QFtnE8@uAd-
zw8^uwwzT+f0FgX3x^zV**elV3NDc4&SG02yTqcPSQv?$t1dr9|mxCw!E+qF2s)_7Z
z4qatp)~b8$dDzyctz1p&ET6!=Rco>6n^^W#7q!J%bcoOE!Olqe`sp!^`hb@&)2?B+
zJl043o(yoos;2fXb(_kTA=Xe;0SO2FYZn0o)c`he52g^XRji#sbZHQ+=$V*&tE+v5
z{1*Sr@#HWufxCKtP*}6G`<+C{KQ$1j%vQCNo?9b{;#IR2peCl+rz4Ifuw{MgTRg$n
zN6f}%lQd9@CBMVoW0f(pu_NpWQg$@?%gA=1iBMy_!Z^V<ptmyoBd2J&+P8@3%2n8E
z;9uAjFcNeaxwNOdyY!hp-+2D*TZ3mmb3J{Vqa;iZLF=%$v&#mN3)27R1RU6brlAS6
zt+mCWSiqJ6a9e+%lmpa(e)D=t6r|=oAZedtsXOqkJoNej`REr7Zw<X`K&(6yQyg6<
zq-)8zX%-D3sabp?niIw+6$HvZ9o^-jper@dvwH^YN}BJh#}O)^g>Y?k+69(Aa*CZ(
zNc6zFgdunKZrEwPp~GRKR-N({(l$5{|Nci<CFEPUKzB#>pU??G0cq_k>?Q#TlM-ad
zS(OvqzsPxGEt0H6yN++G;OJ%hehKSbHc%2o>TlhQZ8VJ$iF?KM+IVg{xxe*f#(Oo*
ziC6b%hP9s`7%omDnjFE}bNsQ?%$qmxYWrQsy<Wa#mqEX{?Ibf{tcR<~UL8*fJXy=)
zySZ~to}QlIUI8x)YS3Yh1!-zQ`1})$;b;LG8N_|X1`cZ$<ho$1wzJ2$1?R7YE`Di|
z&teV0`|ytF8-~C&`B|}H*u}nF(#kjfO#@pF)hZQQw?sd4%}t~1%D6spx|t^29dGOJ
z#EY3d>>jf*;c~@pSbVF>m$nYBA=P(Dr_~pa2`l#iM#TU_WV-RO=0Ts_;?#WVH`uO#
z#*imr16`^hKnj${eY&(#l%X@^=<iV@+CEsPZ$9>Pq6y~w<ZNQRvx7<7pG?zi6)j3^
z44EAAJ<_U^@iHPC<stU8DPi)??r?@+_6{vFDqybTY_F=5&#jWf?&<*dG>bdsf;}nD
z@;&pqmEIw*)GvWPq8>Ju!Nv{SMBc;8u}0cMyQiI0b338$W}&~!KU^YIU56Q|7nU({
z=fo*wn<SSd@1+~sK)U}5#GklC)mc91Z`Lxtj!}R1fU25Ac!AB;pl_cjmTq>LXnD!>
zkXvH0+cdpkP2MuexXas5UnPgmgq!&xcot$3q+0K6Bg;fn@LjezR{lVfkY`8v73`q&
z^&+;bW690Pl}-0XW&Z{$@%vN|94cdB$L6R`c?1vlG*P98ZV>6jt7|F)c)?$OcS-c)
zR4rOq1BhpumI?JepzL=;l0V^jo(;!V_00DULy!NVdeK_<Z7CCMsGAfnqFMiXaK8lq
zfQ2~W;#l?Q`TPrfY31KKlCM{uj$T?a^>OufIXj_)(q!RljzKRXQydKb;&%<eyH$7Y
zbK)a$-=5XpbIJ$WoL4jsRxE;~X<n-f!cQ4`%P6xZ15oqPt5<6#1GYqLEM!0ZuK7nr
zK~RwRs#1bT2o3L?sZm-qALX1h$!c&#+D5(VyWg=N_4sjjTw@6F2>_8TtTsw=cVk^8
zpMo>s%Rr{(%IV*)UQ`X?WQyl~%3+tFFjShPM&r9xZ`}nT2_|%JB<Ro|F{Gsbe)$hA
zs|WwhoY6m)<3L?R0x?UFd2a()Ll-2?L9ESw#Eh^(Aaw*6!53&KjAlPYKFbuzKcN42
z;8t%Bm0^7_gPh&gh_{%eWTH}*`a~0w)Dy%`(-2beH$dUA1!ai+c))!G>jCj00RKZr
z84`|P8ylZMx3hes*ATkMNDEKB-k{)yVHY!i0KAHdZ0)yU&)?A6T0b;2bR8er<;(j1
z>Zqmu)65Ro1KI%thM+s46kud#V_}&9<mG20&Q%y`5D*r29||JO8P>icQ(buS0?S*h
z{{erA4|wfT>$&NnDj^gY`hmLMY@!ATDX<j)XGC}#pv*qdv4uA3SrU?f=x9l(ix6G|
z!d2)<k^6aXhw`VMB7wMbEh2ONf&d!KR!5H=t1;rd30+u(0s~ni@TU$BYeGkayq|*w
zKFXs%+nb^VNXr%e_g_3v1N#zyeF5Df-?(q%`J4!}%MCgiUA9K>E4M}oAe1m4$_AzH
zV1*;xplY$}a|}#OPk%T6%cWFRDImIamD*=&;qS$O!<uu>B<J+VU8zBrfnz-1#R7*3
zP;=?(6%pW|Kq0s+prC+P03s{i@b2J!HiN_>0&V33EV>E>Cpa<)fsp&oRN7Y#%2TIg
zMlJ{p0fPmBr>su3{)Avct_mcR5ApHPKa}t&`v@g3#qFPjf|6%bo7`BiS|D`PkhvFL
zUZWEeN5HF5tCw%;g=`uDc861#(1n-|WMpJKF?WAC1tO^KRB--1-ZKemR*2FZasxye
ztQN#&6L7r7;C$8rYbe6~bc1vF&^73bgW*CPbdH%H@%T`^t2(cD!ot(hbG_3x%u>?P
z!9mf%FJ=zxDhOG_X{iQ(LL1?qz$pt<0MyB`2)F{wX@6FSKLILNZ{7?7`m;es*<Y;$
z{%ZCx#)wHN^OHfr3W#BraF&RpO^;T*X<6e04oZZYJs2us`V`6v(;K3YricSJ$OnK^
z$IOBx5e7#K8vDXPgF>muo-jIaefaQUz9ISz^bejEDE9#MeEUF4N=hn3Afo@FWabP3
zXdIV-yk}au?FF=tNC0J^5PX42@rc)o!^x3fuUJxs4KAHd<gg*m0FW2hy2tcDrQlzx
z#<kG~01%6`!1~!gYy~7;<dFOT3*$+U+b4aPGUH%|h_(4qR+g(*lbyD7A@_igD*$+d
z2t<$v^n(i}8+4m1Qc(?-tpdnN0O-+jP;O8Fn}*N!9+*hCHmeT&VC<9afHj$thBF6{
z=0J-%>IM<p0JMhdfPVdqC`ZM|G>e6V1NhT4e0-5`g}{x%e)65J0Yw>{bMjI@PoI>+
zo6^VlHQ+5EXjT-sFSD#HR-uUmN3RZiFHF(j`<~sn?zmwD+g=Fu6*?XoDFHQb8Z??_
zLKq%*(|y|$_<6qxrlPX4XFyM!Xi_dT`ihLVK(r@&_=o8No`|t0#*cz0Fo5R%Pe5)w
zoNkbi>sS(16^4(%muK~^1Yl0!j)9C1>n<=P15YI*bsNEgt0YLk+!4Q!Nq#^KpZKsU
zzyjTHFm;#@Id5ulMnal#0`#o%wKfUV?n)CIY{l_TUibv|tJkry)F8t^$~^!$B;ffu
z)O|&N5nw^l)N;-oa2o+pWX@;@O4QxGMc1r6OqtKDYWpou!?k`x?0?Q5LFa>+$XE{1
zLr$lJraDlZ_Y;9(R1b7?CXY-xTmVKgaDX#pTt3pvLc)`2E#`5~6VHJ;IJ)fxhUk@7
z755B2d_=R$my3+db2vA1pv~Z4H;W_O+UM2hkaI1?`PWS>BiZQcBV*WBBR-3kO`1cc
z$hEH;@?VlW0QlU&_j4#D&(51;hh3%r#El^Qt6Zt-EsmC+%`)eUg57^OG1{+*z&rc-
z_%DvxWWQZe?D_hujub}p^YF;4nsImO?vNL6!lg9BZnqFh{#Jx2L<Pz|86!Wgy}xZ0
zWBXPlr=r1SM5IxQ($?nDUp5W5kS@e^2Zwf}C2r<>+h;MY7Jm$QM1GlbmdwI#yX@TF
zq2*)7bAMzyRIl_X$jaV<vk(NdEi4w%EI|PU6C1NyX@{11e@H>~f^G*J^^LW@$Ao=V
zs@?w-O_H(+q<&Y+mdcp@n??e&<#zp@`UL4)>+^F7C*N+6KgwwF{Yv>b{jI~%D_KG+
zq2)t1`|!ymXqo+c!YlQs*ZGbD@CxSDOTTFCgc1B5z$7@GcuA9yf<aKFkR5+N2v@jH
z%Yr}r1ma?#V9bx68rarts%(J?f45tih7;4O(R9k%>nbh`ARTZ{x-Un~*^Ekm=RCFF
zL;T!1iYykcb#5;S_OwC!DN5K4h&VX#0{shBZN!QAtRXN6h#VVnRmgSfwPlh#rl#Z5
zK7dbx!#wva)fUd1knXV98PsZzy2_K`8g6gzNkteG^4<S!kg0~rcEx>k@6d3GRrrtQ
zk@qFh4CEIDS~toj%Bd`S=!XN?!_h=1#F0rq#T;RxHi+(jnnolT=>H&c!u=R%nYp^H
zR50`6%ZfHA^kZ<t0E=0tzN+yeh3JAUIRk%k4izlu4wc;m_H+v9$N2;RD->b<@gzC6
zi{gbEJzIIdkFnjDM^c;ujko874V=%j9%Sk!IE9oR*4`tjOcW#`$om(rFfG;5(Lr!r
z>M(@pc+<whKohtqU%h@!3*54DCm>ly2|Abd?i@XOG%g|GiDA`m-02K2RpsE_f$!dn
z)cd*xo9*9E{?sTw6MOu^ohD}1rF8rxoytb%Le+TRH>UDTRrtcW*JLrZdC4a(;}5jF
zqCOa_Zs?atJBXAB5-igCNeszRp1H1b!&|7GKQ1h7J41|}S}>(?u1DD>LM7JOU*ll?
zEiMfx^8rm-IjZ|FA`vG@WF)~Yka{qUKu@|2YnSJCDX@xRA|%lk6#8@QnGJJ}=B3#$
zoSC{b%5ytPx@Q<#2yfs0G!cG*Bjd((8THnz9NZ7)8ds{mkWq8#GSqd55-Fq{3(|O+
z9r|#6H7wo1&JXTuxQO6XQ&WR_2I0F3N84&nt-W8PGg98pW1$5F9=<Um*Dc`!7<}<;
z;wb^)ufZ4crRf+okA{8jBZlv&Fmh^NzcS=cyG-1hOQd#RmWo&v`aJ?e<?g2+RQso0
z_^oW-WD-2)Jur4qT`m-UVsW3%#OrfenqVuCjIyMheIf^48@0?!B8hTG7F7TW!fwBU
zzFxHK$~HI&!vn#mm>UhbUxbwl4GRhN%~6dh-p8<0gO0<42=-S<LkrBXf#fE|?m&+l
z{y7*iU2PAVH;54ut^WY>(E5Wcq0zpT8SO~)ts{|KMS~UxH-E|9q?v*wz_E1X^3?h2
zrlaT=JhT)=90??LstHh16%X>Xa)2i>K;rDVbE2_=&PPv_uc`OIXY?;e6)s1OkU>`q
zX||Oul%`2NHE^uIMVL9z@^t`z7V=1t6`h$4eS7Megh6zx8_V@2(fikCzFKpf>4Th;
zf^~G2>aqQpH?Qi|j@Z`?U_cSzKXiGIlGq<P!=)>zza0IZC_yGGhoL`t@Y|MvK~QV;
zu$NR4T+7K!kKI`09e@PpOB%a#Bb_lzPP|S#X)GnyB60K&<`2Jm-{R9!LHoHc@Nw*d
zd;3(Bo(6HhEnPneCcUA*NdRM1Q8ua5OO<Kn<&CrO(#yM-kBt+S2y+U!w*TObXe#YP
zm7;|05HV-_4?X(FGs{C;6Ml|7&a>xkD-G3<xR!^(n$hP_?+PZAYa?SC)=u9qUtX7|
zA=*;m+A2UPQfAW~ttE$v7WQ2``$L&^b$Sw1Zw&Fj?u^`JVBd7dximZ#n3041s+qmM
zP|DG06GKEMOw872Z!$W8V6E?ddZ?OfU+^n}!1zF_3P^wS_h{cd`?DdBIhf{A_H!j!
zoIE|DtsB!3&UbKd`n$eceC^rO<_zy$%*q_dI!i8^o}-$XzuF&Ll{7gCpS^yA>Iz@q
zFP;btfQ!r%K23kk&TjPdDfyY)(f;W17FVC>R#o92l_$!y>5CGEhknev9YtDI$jf@H
znyVYu;5lxpA-RL*)GAPJh(0*bTkUv)0u5xu`rcs?X+JF_GL0NyU0Cu|mh}g47T<EB
zU??6Nn^2_<gQP?MaQa`Pj<;1U&c!!)+Hv`h1D-UPitpu*zO3@yEvz>C0+ya$<S&qp
zH*sLEPk{FO+4;c+m^uL}%w%<77)sB6?rg4Z|J@COx}zl=#}HNF={5T&1|8k+F8w9?
ziK}-mzBmDiJvd^3N{ey{h<+8F(`fSUzUIwdsl7(6oZl_@m#Z+34NkM4kAFVQyABy3
z-a`1Hl9A_e^$$!HH{Xe(AMBYN>NqZt4Mt{^QJj*Yd-9Ji(O(A<Fcw}vw?PdDri+7P
zAJSL%{i}4j?QhAmx4t~8bM#euy}Si~y0%H^JL6F8#6JCuY1X{h8P-0V;(<cPvVm`1
zDu!I*WleoIRN525J1#GyMo;6Agz!fm_qq6OcR!rs9^r>t)o-8Yw(XYQ&N-^xbkf0c
zS~fdY4lN#mDeU2RT4eAA9uGXS34VR|@pd=zD|obDoImvQ8#nz^HaI`Ot7bn6^Wc$(
z=7kq(zrMS6vX=GNcmMn6{(pPyyt01$IxF0;Y1{{|T?Q-B(>ET(+dsR%&87d$>b%$G
z-{*?gw*8K}vvs{yeA6|*(-P_r=LEUVsd>E*|8n%#N%B8)R*i6IDVdw+=zI%*59T@!
zqiz{tuM-bpWC}B>FJLI2SlM4o3HsdjoMNVRrtRAa{pL$49r{)ZC{&VMua&BUrSF<W
zDLb1S?;}0rhjCXPJEhOAPI+^f^zD?I)>m~LG}Dh059?YzUOH4MLMB5gl_Uq{kODjb
zAW#5r^d36ldZ60}CUkc{@?d&#o@J1xBIh3O)LSR!K)JRg$Aq_E+J>;=(T7g5o<hy0
z5Z`NCol967%QVF>lYSiu-Vb09ICV+#O>jDCeA;0Y3Z1&sZkr-`pvQ84B}%+CL~mLs
zDRpWMKbUt+AYMY4a*BkeY_cUf4Gj4p@`*u9KirFuG8Og#jrH~SVW%_OofH3quJ)PY
zq*#`A@pIO%91%^+O)oRcZ?=sMl?fW*p!m~1U6R~?*vP%mYtyiP0TVno<zb{hD1}P^
z&(HC(X-~MozUxUekDcnhdMSpzX6dubDv`{JSubyBUd)=l1mwOB@N<xmkW84YE-ycP
z^eEg>9u3V5YnVbX1DiLrB-cPfdOCA_qi2{UZ=$V@XvoRqX55MK_u6zF1(Zoqw=!qO
z`J_tkWH#<HNicFx<piQow^){l3=*n0&@)?I0}F*uBW;_i#AuFqsp@KKFX36cTzIOe
z7;3XPm;s=j5K!rc1pUt66bW1dTE-j*2o*4GG7I7?GROg`1c9Mx@BlVa9RPq02@Y;}
zqSb<%;58yZvK%WUZ~q#i;I7U=@%8cX0`erNTY<cSn>o)NhFE>2Cz7t+BV=$IzZ<=^
zAWWo)heBm47MogDoMO*@5NWC@EGE1B_2xq1XiyTJm`l~X@Mk=tLWZPq-T0>D(=fNX
zv9+~ow6AkJKn+qBfeDbY3DJka;@%dPmL%llX?5O2hM+Woh!;hx52laaV)OVn6g(C^
zJ45C6dB+I|CaiL2xmBGa3rpv(llm4Y*W;iJLQV6!6!6p*#_as?P}ON6XNxoW$H+Pw
z1}2B{b7*H&ag-8och2rMWJ0G>G!S}tod6gS%RDlNID)+E-otqbwYoI?3j-$&E&6Od
zG}iP%?kQa;ojqxq--o$yP4gCp|EOI^hL8lYqQ-u4wxVQ+;-^|Q)UcRbm)H<xGEADG
z-5aY?N1F;d572Pnpxg{CuUdOomOgcOS2!xCEC1H^Zq37JE5<2$F<IZ~Ya~;#4{Iu$
zh>TKN1A{OI15<c#7m$x8D!WWW1H)_HLqh0lYpb-oJ2E5n4HUH<V3@JS^eVt)Ns+K)
z#4}wFX1gEt+V&Q7n`?`hs~tuy6$elzjN>X$w^!fKEm(da02k}VGv_tGQXvjy?=F+D
z_yl=@n6mpl2Zmwo<|SDbGDDr)*-dD)65z7h0A`yBM7^uDw0D8Q0|Ke6l+>Ga#WZNj
z1&4(twYAA^Z*3*#=gWh#7X&|i%}TA_@FXDSb+Eds#<ELV0_n*FKH;C|Zd-L%CL5hi
zRI-y5TKKeVTr9pXERF@2pLRVtau|O`YG>$Kj&lA~6LrCeLf81G33wF}flr=12@VXD
z{fL47Rae|?589Hh)!85M-oTwrULLDA9I5s6@$<{rI4d$NTh}Yr{xqS=DAb2-o4xaW
z&YGe|%DbxT1vs~yCk;b%)`LDKi0jw0<*T@C+h4mAVOR066F!fKac1kQ)?XaOqnBfT
zBvv=s-Rrhaf%L4ljt--s;NZXp43IT|%FqG$Tb-a7I)jk;h2*GQ@lE*)ZHmf;8rV5f
zrM`3**{V5OCbEUYs5<u5ut~zVg)wibu-bl~=}q3c5MM4B9en_I@AViZFEy~<GP1BJ
z7#XFPVSsG>9n5hj(~s+%9cLTp+rHD?8SCqab1PaiNAyQCn~_kh9<n#st!1jq1RqZ0
zOuE60*{^k=<Gy12?=1();Q0UUL;ky)uB>BaKEA#j;N*fHelkRAF5Gzb5`=y2oJaZ3
zzMhG1!gb?q9SL^fXRfG_#4cvEHS*6y)lH|OP=RZf0r_TOYh8+P_h%@op7udi+eMqe
zeK&OX@un{Q>_Ug_YgT;qPw44GsdY0}1`xRtmy}evbLTnKcljXf`cVle2c9J-H#GA^
z$rMdQ1%6Bq+K8!KV(}K1wRD{ciIE+ed!0^*nq^Cpi-=^Xh@}hRrla<qYkFmCD=OS4
zek?~;IE(u!zFUNn)k?lid6DYLOvBXV`>s!|c$O}!FL&|SE~v7o6g~h4j*pK|AZ?Ek
zCp3l`xVay}m{0cNJE-I`LQ-*m7q*F5OJfcG@VRF>Yv26a%H3tHEQK3!-5iYfrDj}h
z)Vo=&)wlNgaNFLU(N`4u`efP37^Rtyn|6a%jM5ZiY(}@lseauLfo@z7aw+GV4y2`~
zriN!Kxo<51ZWOpR2Yr6>10<){j3lVpC{LcY6iaR4%vA~tzl&S-gwje!Pz^%#6=4e7
zE=dW&G_t+s{vn4^ZVVmU*-T7K5`fC+0t|K|+=NYI`Q}T3##;a#8&5AUhtj*K<h&>;
z{jch1{Ev;?w0m}Uc^$gs6mU?q3^Vj8TQ>~pm08-_Dq>RbQK-D+)%J6cEu|Gh)a3Tc
zr}cyrlar-&nGniSZy(C(G0Ih*bK1c7xa&G9j&tbHg>$OM%(R&+_kGmEU3<o&0&AaQ
zr{`lN3pCEkc-T36aT!`~N*Hk1lrk$sd4%#tDQB~bWvxHWxPY1@S?E(`JFM2H>!5ng
zE?bg^PKaDh#BXVHQ^{q2La0?WwIzv<MLGX1EyNhh`l6(gKK@*8YDU*kGDmd9awzWU
zrdk{6<E%bIRR@U^yiq!DB^F4L$jHJy`R+Lib?p_eP%gxhWT7ZTIv|kz0R17E$8z#2
z3yY-R1rAwg0U3@jc4KT#p1T$&vOqA|K1YDAx_9s17t%wjo=RL|5*AGAc@h@RbEgMX
zm1D!yzMj4{@OkcLdC!l$He)6=Lwdz8qho2Vg0@+B`xEM|BzPz)o8OC8iH&b3V_K{~
zb7f`V=gYAuA)aU{7`AjGxy_N5zOS>i^`uCcRx&TO%{CTm0R19|-Q{`?m?{ca*i}J6
zb&%H^zkb!4y@XQzvKO7Gy^~=1#s`-zDPgGd+a?~$jp=)?yOk~dOwa(yVv+c4n|x`C
z!si{F>iOEm%E!0|j=7FI?g9h~*^Akv>-KHcslz8{ox177K<g0~6Ju!KfZ=k6V6?<j
zIE)&Mmm@}N&&5iF9B17=^9_Aja<K-V0d=j>^{!Y_tJuNd;_)KZec4ejoi-I`xU_D6
z#&N6370O}SAuju&T}@y=k)8Z&83=uxH3vRvMQ=jNeAfdPP>~*hZi%OO6lE>Z8rr5*
zmpF5stT$%i3JW#s-jz?qrKq^d)dF!>Y{*)UWNFc==SB~g*um?d=eQ@BPNGm*6Cqkk
zA|hVm5)w@>)WBBS2FzH{t3N<*$N(AzKmV|_u*OWwcY;155z*$YQ%6wNckaGjqy9lw
zxT8-0_&ih+)e6f#`me)aRBu*P3!~x+>_Fjht71Ha=68MR=JUTb=YO}rUW&+0D=vNn
z9(EZ~(U%uEjgl`3dtK$=P$2ca2XWo&rTi##^-ORVWx)PBx;-X|-j%$xlS_(@#}kMw
z6E<zcH*jTN)xm0jT8ffQTHCucv&YPEU8Rv<-|F6yh@z{;`oY}Th1D^mf!L7bABH+J
zUiU@LsgahyfZ9;ryM3ku`cWYf5vgD)1C2-zBGMNG9P()yI61q9kK?FjVCWOVI7J<$
z!;BYu<sB-LI<9|zo9mWl@!=7+PGrWrPP@-zFEPwP)T8&DEGY^_mA4!|SFxn2)w4lW
z)0QTX*mcq`g<!CLb}YWOj(%;u!d1~_;nERXg3c^5DRd7FeZH=~&yR`sZ&rN*)SwaB
z34=?(yq5q25g$O$x)Y{vPK=GkLle<@zWc}Y85~tlwe7a}A&DL7u%R$(@rZm8Ue!k~
z)G}nzEFm$wx3SA++s;B{60J$0L^W{d3StqGsFF_E+GQClp6g$DmNPZ?+?J7nS+-Y0
zP;o!TBd|SXOl4DV2tC)CDxL5nv4#LPV;o>^@S_$|hf8jO^Viw}$3qc11?|Q~10Nxm
zJo|;*v_s8yAQ9TN=N?^mo85|ikdiE)s^=9}H*@@`VB@mg<7$P+l^VVFsiXT&E{Y2(
zD(^lJpsr=v7D^<(5pTiJQeF)v#VngWymrzz%U^lZucNik(vS6sdR&XQ8bqdhD;$fU
z6)J~V$#-DYX7c^~flS@*HW)H{q5c3k*!rk1+XWdGw^?2VW@pQ|(V+LMQGtR(bH^*)
zN*D4}zsi1gNm7kJUzBHZ3|0MtFeX6OU(wlwzGRTiJ?+P0!7E-RndB(xs+*-}?c8~*
zbin@}Lz@EqZ0%l<`QP{VtA76Sg%K8S&dBD9ENG|0?!Sd(k213PN?JjSuIn|?HF{k-
zF&vzeCo(_rAL<>7n;Yu2>KT&?6ZP}R3L5*yKqRjq^gY(_{`kRskZGP`n1IRm<e}M)
z-d4k^IEUx^C-UA)*Qs#KIt0~f<Y;UZ<0eUvocf-;LGWDZ*rstN*>gO_(kk29!)oZf
zG{x7FZ^u+$;WMpDdEoa2%dO=7(C#=2IHQTFDUD^!tW#<GhkFEKvNkq_WzDepne9li
z;HH=$O|s>tK&lp?R8IWh#Zi6NcC(XwaFm%PAb$D*ixRGCS=&we@$@egpWE6`U=E?e
zrL9{r6rM`^?@88GV#BCq%OcARKMT0Z{xHW9r6#rb&-=W7Ee}J|!H;kS(B(()@C;g_
zc;LP&2h70^=&|0Y7h3O-JAUFs2iP97rvI`gUXk#AwT7)-H+}dpAjdQO8%>%T!8=9H
z{sBgPy_Z>>Q7M{799226mYDF!8ElF;?8m;BPOPM@YH-*SVQ+r(5<F=-VI^)$FX2eQ
znyz5akd{yuA2D+e%f)K`mt}H8(ADLxF}{f5_P{Yl-Y*aQXT_xo)2w63U$fT9SPRat
ztgm-|xaW&h;f7FL96xsKp_5ZN(A9!r0=v%a$Z9KC@6(xC)JlUHUb&IkjXN;77=PYj
z4rC_PcPhRwaVWD_?R{IVTHB0e2!1hf>B~3*l%_bTFZ+yx{+BP}8xku8;+tOf`OJ1X
zUnrGR`x5%(0exkg6^$_w%D3?jTyX8IZu}>!=K=<*OnsPHiUoZj!_5sP9d>k>@q`h}
zUey99L1->FGFO6W!w~hokh7ir$+K=u?YZu2HbOHq)QLe;tobSv$E&`0OKjS5rt+dt
z2173i+uq-q!C*4Y=0+{c@C4h)D-xw7U#AidPOk08V|Dw={8(|-8=0y!SecpSb#y*D
zR%Ajuaux<oqrtC|0Lx<<%(y{rg*6I?lHXj9PGIvY5wVZv;*rH}W+h(2oM0j-W_;M3
z$mW7MZr(~xe#O}+Xf$4R$N?9nsY7HPAV@B2W3}&kx1<GwRomxfMaj^VKY4~u1VWO$
zvhplp8K6i~3$9*sD@~E4nR!K?u+68|M`V4ykZM?&eZ$(bI7_#<FsWZpj|YXaQx%O{
zdk`EPKGs|5ug!q63x|>pa+7rZzogz<JnB4tr+-yw$w&XUD*GR=%2tbEX|2<mX&-2-
z+7zSr@yi5VH2g=;8QArsdFqRV#O@`EC>>T6@Rk!77@cj^SO|F&%~5)JxOY4%kaW>}
z?^*1P(ufH3;=0&{vVFCIqE%eKfi0qS`|V4Q_niD#3Dm2Z9A5pK#aLjjFE)XzQ1m{l
zgXKnnsI7Hij9=hx`ITDOhgpZTGwd;`I0#Abs#&}j_^#xTpT?e<_blg}617>P3paB`
zr5LY_-TUVH%YO40E6n0Ms+k1O<FMK%CB9&1z}O+Hwd|erj`um&tvmBEi)?6Y7_oxv
zqXf6%E4j_iQUkG-5;LYQPptHl$I3_PoEQ2_z-aRhtZyJK(uw8v7(vw~XJ(cS5Fb4=
z&zRL_={Bewi^8}QrEMg<2@<&+ELV<!K-U~a+2;6oqK`m4;h>ih)@-Vh!BuM<rLp=t
z*<EF&myS8IN%>Z>OsE}4p|4?Vej`WTM1@?*40uBpG8AU6>R?w8%q?or{(ZHeGe3xL
zQ=>ck(YO_NXM&~5*zxD+C7-ZWn7U>FmaT<2i9oRXoh2omr0TSWYzX6(D<U~LIZ%Gf
zIXINw?(B*=<GqG%&K!ykp?E5EHA83?kv83qQ8HWkO{X^YfAbO2!?E^jpNSwDu~Kv*
z#02LrB<Ih@B{AV<wp8V+W>vj8zQIEq%^bRK{|;?tYB4s>XYFe9;ft}obj`!}y_}m8
z@e<F;l2^5qeygDn;0pe!hT3+oXSwc4z*Iw7W#xz%*L{0|l?Iv^)`Bjipp=!j|4t{S
z=)3kfvtAr7@GJRNixd6~=Hg8ooh~fZ1&v#e8(E6K@#H6bjuNgTh_V#bn9tyz=54(+
z)8w3ax>zTB8`HY}@Dna}eo{Ahy9Uk3znk}iu7;pvTmSVxNSy;(O5n8{*n!bs3~B3)
z7W|RTHlK@@^GS;YQ*4M26eq3|CarDH`Z-uuOH!q#y1d-~RB%iA)-7BQrt4fWx~;?Z
z8z+8#$)u!o5t42mT?qMHpVjs>if)R1%ydzIv^+`R(Yx&*Nrviqk&AK-a*Im#uZ7!E
zS;|N>%W7`k>m**AikRw4_q%*BweoeoM>a*f{%ADcEai~+iyclh!EM|${>f*GF>g$p
z75ax_yL`%s`Q^gHF7S7Mj5=fa;`tv!Zgv_B!wO88pEp{cX}=$6Sc3&sxpBlS_;HjA
zxC*f#cTZUH7J$=Fcs4^aQJ3w2x_jnoNc>VG9~|at`!{(<0$KA=$(`6H^IHRxSIeD*
zta&LJCnzqcS3k5W#n#7U?B@*D&Q8T&?3%yBfyf2_rY0V!Z;9lR4h#+tPX+`Jz^Ao4
z_xWtf)WETuyo@z$TfRI~n5EW^$M`e{J3V3UVb#h``XgDaqS9<nMgG&Oa-?01fX7tN
z&7WUNY|{BI3k1lnUnfoT-`_(|ofSCXX+5hT{XNNWaOTWRD2amfOzxv}tiMW`;b=Sm
zBFC$JRlb<rngS_HZMpLqqzoTR^7p%O{JX4K2oo2+E7?9^YoA0X1l+m5_G54&g;CI2
zq?tyTgjh&KsE6ykeB!3)&;0{dK(@f7wJ&IVZVoxXDPVnzxTf_SFasP<J{>)Ifn9W<
z%r?txb_AD*KMw4VAohH7^D&e*b7N2SA&^#PLDZ!}!k9F;{==oSLS@k(Lt?KgPn4EB
z%ikm-J))ZUrLxVmj&aCzZz7y;uJy>^$OP5v;%^aZQu=qu{6pj%qok~<Ec3qXa;t#Q
zWzew0rgy-lue{Ud6wl-V7Z^<$EdyNK3=G;;>P`?><bX-&VzReyySo5&9aI3(z))7T
zR45^i;Nv@%clB<l=38y0=TE+6>bFp3Z)9qacG$VXki9a&0ZS-r)02R~StfyHkNl|*
z=QR~e1T{VJ#aw4Fyo5`5()|}<+g{ni<Vra3T`8hd+Mp&^cInKXvKX69n2t_yVXN)b
zD%;oAdlI-R<PRS=BU|h&*PUD_?j`L1PUKY&w8F0G`%&^K0=yv<wEpKF9tB|geEh%;
zk93%3Pl=jg{pFm`^`ZS6H`cfH^q;-#cmew@REOK#1ySmgftA~0SmB7Yj794<Q(kf5
zUU3&|7Z;S7dzOO3x>B3k`%I>=EHgD+iB_v1lf|nXt6YVG!{P%2VzUFX*eZdx=W3aS
zj(ieN?;yLP^b^VC<u~RV8yaNv^-~<pv48}fgS;nuF=K0vvZ}sIl_J?>%}`%YcLdxZ
zw-0ZL7I~^3E!%JT95eEnnG}6?K%Ir{g&NV_b1KAUEO&4d4_;QDvJoINHWIj{HVVoE
zlrR%kiaFwZzqTl|ba-*NKfnEdt22G8;>J?OP}*V|u^(&v9XM$ixp}`$-zbmxOG6Z;
zn!&jj-!WF=*zv(pSFA1PwVL?B96fJ%Zs%~Lssq2Rzw)OSbCLKOSzXK2_xNR+NZwI{
z$YFP~Y#=i``x+>llHu3h_wR!TRso8&kimWEvd#A7B>@;eZI{oqVm%aG^B+M%Gz6Iv
zt;&T8kEU0TjfJ_|fK!=)Byc;7PteZmd6w7H0hLQ)QqpR~Nz}T$x0b;A+>!PIHhmAl
z?arszaV39!jW)bJhY>65bJ(=wrcaksO0Iqyos)aI=@}v1eWW@KkY*3zo&u~21#xko
zvVjq^t28viYCwx#E0m02|Irx2)Cu*QxIgH#QLtjuiNSykq?;8brR&#8gwj!n%xaxO
zXN6^DWkHB61KjJ3Q0>B>{QC9lY=21}G(_y0@!T9z7n%I8?#PuDwrt;-T4|kD-9K*}
zz3OQ}>YOB)#eZ3>ly9BV+MhbUuhLFo%+@&}^!i93ZPk~P&mwoC7FxwSqKEb*F-F(J
z_8g5(eA@PUUX{A+UK^+|c_Tu%rx4h&F}Z+k_IX#zwyJSqy*YB$&d^j$wqC_??n~1B
zw7p@fQX#&F@KH9-YOK?ic@r|r`i7f92e{O93g4iM<I{T4&i$G9xV~qxk&(1wCsjDw
zJsgEXH8kte99JH^&L(hE@_F+{5sF+#M_BMm_px(n<$kfTv2fv~@n5-q{UJ2_EKO|}
z`X9sO2EUP3)bL4zv2}Y)Zvmpw)9Qo9*PE^7K?@l$Ynag*20d$9^*o%o%45e(ldina
zDA-wDY{K-d_gpw)Z4e*VVoWD?`l&H?zr=P8)?(g5?IK!+`4;!y^&SJ3Vy)*l_V?d;
zm2W=3P>_OMeNMa0c|xX%>NIwD($1OZNos_ZLA=(1!$Xz9eN}=of%KDEF3GnoV-(Ef
z=`m`RQjxmOAIrzBoX;-13HsRGdNUemARwrlA`HDXr9O8q@xb0M1Icn_M9G+HJ@iI3
zxi$0CuojZDigWw3#Nhi-hoQIkK+9dgK)q)@+c6Wd&^}_O2eS%GVO&$cG4TC*p-Ig#
zz=rCeFIdJp!E8{NTPbGYcL=zGFKG3@2GW&|z2WPxUq((^36J3`feE$3^-UNi*lNs$
zlV)!EfBO`|`!0k&scwWYl5oFR(y>ZBB(LMWny=!_lyS+d)sAG?UKwec0=fE*D4pj$
zMiyqpZpuAtJ&X<Jal~bKFZM$p^%v1|B!V{IIfTA=7#0Q}D{4EyzT(?8xOq_-zjDZ;
z*|qL9I9u#O0O;4Gla~S&5%lTqd)6EE6*gCdHf_fqz~r^^d1p5D@<&jfr;hmG#JMCl
zqo*LZHv>73zyug*!(rI<ATT&8YMyHO2rAjNg{n1-mcvNRg<Y{uv01I2!m`3Os)bK>
zA-sL3sgPuzPc|b!4SB)X2~!E#_(B$Wvl-_JD&#v>M~yH`&1Ri~1+?V;ZNIY}CDAsn
z`xQ>RKz}mM?j?NP<=z>YwQU-HTIuQGVFfVSCj)~r%y6+S(HGJh%wn@(=bE?KAsMoT
zigezl4E*6CF)^87+-Kn8Qi4rGaaS%*^_s!zdI^l{RW3GrZ&I~q1KkDj&3;RN=oBZy
zc<cs9+Bj2W^`K;`q8hiwwjGHWjO1M@%b&fFg998=wfR;G!+TN8g10eirn|V#TDuTe
zII}&#FO2%qycKt&Q7n(y1Gqj*$19a*zPUdop>m~rV>&>SR0mJC<42g)cL~15H7uOQ
z?s%m<Oq=8_H>p<`DtdQ4m%xnyM!Z3!Vl}rOQLLdq402{T7~c_{dDf3>@GWfx*yNQ<
zEE0jpfXu`~vVn~)Es9oFR>omOsE-Q7S*;b0n~I>4jE;_;B_@uCwJ0pI_UbFN5h~eR
z_Fzf+-mXpd2dXkP7x$ABuz4vJ*dV{xfAdkw&B3gdLSwA8T*H!j?$)Eu?M!ZtMbcD(
zgZ*V6!|sZ4{DKAYl<xt~+BwRdE@niY{cRFFzKUXj$NgjE$2M59u#9i<UAt3F{NHrA
zb7VeLg)=N2`Hzv4d<x1|3#kk3^XGbwR2xRcuE?HF>r7o3D1&ZMS|gJS1ern%BX4Mn
zd)6BdRjL8)!HUi41S&Zk?)WfqNKI!5=KiYaL?Uk?b|d3aQo?c;!=%uHqCdl?Xdq;{
zW!tvU{Ub8kHm;Q-BTw;XCVN_^*W90q$E+zuZ_jj-px;(a#Z@|wvtc_A$~18IHyon}
zUGJt{X>D89AgvwBW4{-@NRjMVR89{fp?{fl`o`t;Kr7949cyf}ByaW?4hKwi1j`DM
z!8Zpr1@MPyULcW-Eg^+v0MxAXA3KNLu*n}aVwq|UIZ+)N_+3VsH@cNOroLJj8;<HK
znT=0SKIlpHzf5%%9TOInSw6mY+*Ho#!>y+J-5ljj)0|QfS2YSRZI`8j8$w&X6>4_V
zx_fz;0VNshy*hT0p9{SkZ=Ah+GR2fQqpA#bXMMvj@0puMzt%zIA-;TObmijQN#*r%
z6|~bqouGqQ#?GKj=ALTJV<?aFM+%O>-gGkJK+0L<x6N(Im#$Ek&GkEnXz4+xa)m3n
zmVWImuH5;bHNuUM{5#7M%Ak6`oy<kZqN^CBC+!e!*4@heWcgY4Ofb*vjki~8*zPUa
z4#Y<5Sure~0UgeQHyVN(>0ppeg3Esn#*52?EeB9zEMnj*;DA0UdbIldOv+jPH7>GV
z5f_$<Vs+k!&s3qYpubF|Ki){t=YMc<PbYD0LcI<O#17#cIhVBOd-oAZ3u*td>i(PZ
z9F^HMa%X0w6RAH&-479p4eirv#|94i2Sse1SGWY{z(Hf+er1KzPC%aQol>h(d8~1G
zeG@#@O_owy#hn^~`~_)hy`|kLKj=7r097=C$MPe%dKL*wX}^NC34%itBG!8|(yoEO
zI<fp}SKQK;g!t5Mhs8g4CKQA2g=ZPR8VPE6`mz4Tn^b>$!!)bZ?wji<)GWQPzrx-D
zw%8?#Q~J#)^u*oCQriEah_1Y$g@)kbI=Dp`+1WdS=nfT&>xw71E~ar$mv(;;2n<@+
zLRH6yE(B48*<%Ez-iBf}!HD99Wx#&rvocyWp~U7qfB)qc$?O{Y7s$(r$pZVPF(2YN
z!eEtN$OaOFD8jKTFdMnkV^o-iRpE@3R5Xlk*=Ibv_sWoN(ajAHPw9yXe=7%DoSKr_
z!O;0Ifd#vOj%0fYp5v<mG75XQT>mJI4}=Uj&7znqLt1HUL!;Uc99IP-!#DHsnQjVU
z^L3Z_9r0T8bi+sN34cl7q56hxDSoAb+^QP84nDUP?6Yb-j2juYd!}y~yr`<GT3OB7
z&C`q~EK|<cyY%xG3T|-P64LZoUh7l}LT|o#Y#sG}9Qakz<dURBLXHm~=kXy(vyN(?
zdAmvxrh6DAZE-d>ggG>oDEHC$Ro*eA&$})KzQ1IxrjMm_JC6ft)3W?`FK~5Ks0_)i
zeBwHX@nr0r`L`u+NMPWH^*QvM(7~!u){JS-ua>YE<7Sk)M)5ui<7lpR!K<l~NuKC7
zQ%u{!Zmw^;#<%}d-IsvHxcB`J4mn7+NK{7)D$3HLk`mGsN;O5REi`GOl}QUuIFvM6
zXqOq)qzRQY)gZ@K6s@$AmMJaLlxC#&b00m=dERHa-sgW^|L48_|E_bcv&@Bi?)!KD
ze&6qB`>LdSsAg!ztM%`3Y2W(iU2B$OB<{9Hzboe)p!H?<D77g&QJI~XZ2rg1!aX~?
zFtKA(y53;5Ol4_KkCX6Bpk2V;rO$oz3#ctYV@}R9{GASkCk%N1=A@+aj#CprTg9ER
zshWSnpU30j#zkNzd<G#k0!^%79Eu9>Oci_w$UQ-RtzR84pa20ls1ug;G(T|8Yw*0t
z`!005Q7UFJ`QjG(s+56bGtbNppP>7xDicZZepagKR(sl(U9cfL#+lxElz3|z$s#Fo
z{`~Hjr&@cHQue1Rrdl1Ex%ki>x`PcK+<4Ebtn1Ytx@PTK!S8d;!KS~`5BdCLfpZlB
zLgOGgT%M@k_4@i5nEtLKgJY3{PH^eMcN^*VFLn=KbPg>W`+hQ~Dyy26hj&veV~enl
zXPI%9)AMDnbop34@6MoefSN(&Y$%RASGi=MRD9UErbUTZ@fQG$sjOXV1%;Jy%)}Py
z-76~k6j&27ndZYL3!gc<2V`C8?foc?j(C-^=xN0>EdpE0=#W)qaNK@rl$8&g8X@i9
zxLc7#N>eZF)lfpm!D6v`BOGIhwEaWVCmwx8&pA4Z*E!nIfZtTck;DG%@!sbz&0ubc
z#E%WTD+AoqxSrX<@joI@?w|g5T^rnZIJ3zNqQroX0oKeIJ+&oEHUb_5l4*xvb49-2
z15pBed`yTnsBp<Lm@wq++L4+)Uv4(3%HYR!9*w{ltrA*Z2FMFS43O;sm#nm|cbXy}
z)3mA^{hA&5qlC9Frjb^QCAEx92M{@k|Ia6g2845|k_k2){zx}|1Wt?1IJ|-<sA+q)
zz~xP`v9XC7{#<2cuB@iE1H&Zkt_`7BO#>Cz)%@T=6Q)y;D_~2my60|>hEyMZ9G6Q$
z7~80E<n1bQ1<a`6F<-i!I1Jf0M)Z}GmU?-}83Z~2vAO(YUxXsu2{%jXpFMl#hQaK_
zQ&S{lehh01i)2KOlPg*tox!BAyLM@^kOUEG@fnuyo=<>C5#wFqgk)9JbDSSI5pPlv
zJr`5f)4<o}5Bs2j!cJNNeP=REFqVjWicp04(h~io+{yk^qPJjqmG$)-i)0oqOh>P|
zhBbwx$YL^=%gYxRB_t$dzJC3h+Bk%X^>1K?j=Fp~87LmN9!dx{;;u4~LBn7oP--~R
zm}K~h5W7Fz6LV?t+Z@*`oCn{9DjwMw_b9$_&1QxMU?BImw;vT{!2vojJRGA4-QaVo
zPf=smt~*BXMGKML-SBMb(xt=@XP4drTv#1Ept<_XN&Wj^fR1@}&<c)P<SB+{aKmw4
zn=#-?&xE8nzy85U`=XU-E8yPMv`{7`%M&X?>QhC;B)|b+AFYt5i&hEjnj)EK!ij|<
zlkM4N8glMj#>O*KsP*?UiMJl>pj&S2>p3LuEyb;sRJG}hwx=n3=@~C1rS+AC7Y4LN
z*_PyN-Mo3ZwsxM~a70p)IvMJ{80b=0kX2Mv7>b(ib=D}iBNd@8ve98IARTQ3r2wQx
zNJZd3j9L}2r>e^6+;*?m(jWPF#ifo`B(Ndc9*9mEABBdJNaJh2inpMfSe3|_UqYTX
zb?VVRm_Mx`y@X{g1L@<{EeaD!UejmJ^feccVd7xvMoc^fpF>-%0cW;8dJsAS`7|*D
z(Y-E*Y?DDjuz0j0Av=RO>+Y@<z4w3)hDoh1zWfZcowg8bedE7sg8cLMqw-G;nZBS4
z0-IWdw|STA58odK-N3(oPPQUm#|y9S@)x;Mo_qErL(zoj^DL|nx3-d~yY)S$+qPK)
z<tJ(^czwsar?dnyagtB`tAkfw9nA0^L*_f7G=K<?|5(CcMc&xAkd5#vCU}Ze?9K<G
z@23yG*_y@MLo(Faw*Mzm@+EkAcf!mU^$asa?V)WVsDy3XLNOmZbG*NKjkpuo{I&Fl
z-tNavf>*ARcn>g0Fg<AOyYz;W_lXlH#)(dbzq|?v5Rui1<w0h+O=$mO`|~7HqyVlu
zZq^?AxlKW10mF3{uy;Qq%H<gr)z6Xm|JSy|$Dz#plui~<pV&1n7Zmvz;Hs9Lg%%ip
z%5l~(gw%>;;sm1)eNw*o#4_O=;RUJEA(m;?M#=3SgTFq1ZnDMLSb882p9IG~JihzK
zhWx+l2l+SDFQkSGrt04UTSAZdkVqx<LBis`j>S)_CnQrRH4BSmpF5_BvgbA$^oR|w
z;;uOUv-6GVX){wR(~*gw0u>EjQ20QJ2cv;O7-UOGU>`|NB>fV#4vZ@++|T*&q9{c{
z(GFqw;dHOLt<*`uLRtrz?_tmK*{Yt?$Ti}sJJ8cEe%!yBqeYUeAKA;O;b}DE7!4_u
z{}ij|$AQl9CIXPK9>|O%T5+ft5Z8PQ@3XYS5~#Ag*0K1DSj?o7dwNPN*$7#ul||YX
z(<Ig~*OSs}ed8mSW=32vE4`Pre%Y&cOL|sbp0iJB`l$t^tEX+Z?Z+bjyQ;c(rz5f_
zE5x-MlF>b<fugp9!Fy-hL{isvidd<bV~38SWVETrk)gw6Qm}I&?}el{Ma%7Tvxrr7
zBkI#nd#;xGJ#lTgH|*2F&Z`=|R&e0+=L=IO`4}e1y^D&9Vgbo_tGTti4TndbIVKbw
z^H8_TF~RAPxB}-jxdL@{^#|$ql-cL3?1HwHth{VAN#9PIROO~;Zfb9C9S~YAzp}0;
z)^}zy?X6bOwVE-Vorl6ZGPVqtNe}KQJUQ`O)KE-#n40(>DwluYqTG%YsS)y$YLVrK
zPV+KT#vh`{-||1Nf4r@;Jh%1i*gMq+2Q$_E9kOQc_fZi{m$0^m!ep=3AV0Qt1ufnv
z@%y2uXY1lC1_m8tB^U6orF8u){O?t@9&e;rKJA%S+wz{Qv5dDJL1u3$NJ#j%B_%G!
z9OSb(<382Gnwma$*^c8}Ym%XU`+8gJqE^$gYELCn@I@W=sL-LPl_Z6cHoI&ks;xV=
z`r=(vk(W0D_IL%TBXD9(ggKyQO2^*XRhOHg=ql){CPWzo_5p6?#K3_7B(nTT7-gQ@
z=|&%2vo1O9ymm+3?_XxDy>3u@>Dt1Iv7Ypk`cmX+w@v+R0yu^S<`kE}!9!QY1Gw!8
z%Nev$JC*bUvH2f`-@c`-v^4)xSiAhkP1z91-Q?W3x@eny>dw(9boO2&hpN`Ev0hys
zR-LGBHG}=S;NKTm9y8aU@$=6Sij#l(sS~5H;SsnIx?&N@qC8am%6D~JPN}-hLwQ&4
zw5eRu!^g3cO%ygU)rV}p&2f+TxIdzIn!wwI#P)o=DX;V9weS*9Y{i?FMP_&ExqKU4
zd!zJp3~1CC#V0_Qlvqbji^esV3?{-LFfDO2cEKpH=in@E;kA$=4rE?e!)CgU4M-Bj
zj*!_-Hu-^ljh1wF+%W;P`9nygpSXnoOubOejMJPspD%E-Joj|U{He+DZGNMWnYBE@
z+s(D!yZ1T{X-PRbb+WE^=Vj=zZoqyJ6&=k+<{DAUg|3`Kvgm85+c?cbKH%<F(+$5!
z>NzZV+nB(#uQ%iQ1hTe~R;8ZhRp@Dxo!jzn#`h^-mfi*R2-CmVA*-51`qE!=TXnp4
ze!@qj-mRP*jWZb&Nrn)j(v_bICXv$gz6CJ#bh&{fQhWQKWJ)ngZ{nv*X{q&(fBR37
zDXW(J)AE^cr4V%}jW=>o|6BiKz#45t(&;VYh(mP&WNWcb3h-Dr3`QX~N<|9Y{$b^~
z6>(MizbKti+obkA7;{1m$*87Q;{-2lEXOOCMQh~d=V9c!OOc?)-gL)~nj7I8RQ_5%
z4^Nm-ZTNPw!;R7a`vFV|R{=CvQBRb+xFqX6d-g;Hbs!?R;`ZLhIhd1*NPsV~-BVP&
zG6U=wiGQ*(s+Bwpjzj-yj&i6r&V#2+CMsimCDpiBH!;xU_RG&5q9R4%1`x)Y=f?>J
z5y&6v>*Q0Q1Ryy$aA%hyWN{Oy5Jg|BkB*L}B4ZA<f>&NoL%tOzWT%{!kmDdb`7b5*
z8j1DN$<$vR4aL(w)zA6c0$a<qVlyfQ>j#0OD*ElvLYkVJ$0%Yap@OWKAz_@!jowg%
zk-dcS8M_BT>Hq=$*i@VEb%=n44ZiiC;e8u0OVIH$W@sQX80|P=Ch6U;-a9-8saT{I
zJB)()o6_52cnB#p82~rCQU6nsw|lKV5Q1v1sJEar2Zk==tipi{7$TTSR56Ts($Z`q
zZur9u68qfk>1i8d0`2d@_3VhS14`3V^b>HoQDl)qm4;m2{5)cXLuch=f5%YMVSAEO
zfo~=T?Z}g*H4b0aI`X!q3HMBIL?rq{yKx|w+jN%beDB|17l2v}SKTvy)uykK44eVT
z;Fz*S)Q*Zi4LN-TfqD3F8ldG~nxAfh5Cg1yp2_${>TFO^F-0r~#{XV~%we~E+a%kN
z@rz~P&_hm<V`YHu;+dJ~3y3zqAk1T1i?S^?m-uzpF*%ydiMWU<;LH79f=ffS%t2$A
z1{%EN<;yCh-ed-SYn6lWWmm|kQ%WD0O^5U^3Pa8(+M?F<fMqFp^(smc35o^v5PY!l
zOYi3)_6eClYK^}2?!x}Z5&~RlH!^R~H(a?StItLwMVtx@W<x`R${`Xd@q?T9gy4lQ
z@tu)zBfakE9#(TSNRI7D8aQz6p1nsA1<Pt*)Nm293n9m6-!z@fZnG15L+S0^Ri#X}
z3=HH!F<QDf8)EVzP+vl5N8xJ<S*MQH5?Mxd1%B$Ivao5*2S;8I6KS%2do^Y_9musK
z9AF3)?80h5QC)?cum%OeT$KE1GC{N(;wIG+LRiEkW0{)~Ov){UZAcAW4gNB<AXu76
z9^Rg`p~%5MM$It?*GIO@qctALtIzt%Tf26xOJ02x76%F_#3`5qd4s?0VQ#dzb(fuR
z5Y1Q);J3y=Q4ey)qk8i@WQTbvDf0SAuqITUqLdk+rJ%Kp#O9A?kvKCm9rEuwJV?@T
z{jt2Ky*;7@_|9}VTv`(?I+-9O;Pj&$bjHKbKu+`;cT|YI%`km9^=cuy(#QGQ>{W9r
zrB2y_eQ4#aAyWt<7rQdSXdnRg&7(770;qpY7*2G)68<zx3^XU!ASPxL_6k*9UGBY7
zv6A#1NqC9!V1&V-@l>R+<syc*F?GR;UCCHE{5#KN(S=xnjwF)6@a~!s8xE2|suBG<
zZG49@6sO~5ZM5Zae#Vx_^WSds&?NNJM9xl1b2NrM`1CaqN?}Twqq(W6O06$HZ+S;}
z{g0ZT&(m0CQAtfP2Y^)Ya_C9(42*_&>@t+=(d-0gW7Z(AY;0^}Gi)j(3mI%ZD>DwO
zyv;oiaVzq)!kU&HRibjuZ5I$*1j*266>rv$Gv<HSXI{AU6Gp_=V1oL*Idf9*9H@B9
zVQPv3sLW6@3ssX?>U;NVai7x6)-Dp&=omkw**r$dmiSVf#&;LXddfU$V)sX+9Swcf
zCF~%?7U}8frY0s95b(~&gTUbgyWjr(;+$Cry>DC44;2jhG=<!&w>51oW_^CosNUz`
z{xC{KEvo$xIjNWTTI*!~VB9SJ3zPKp2gh>JHno(@i#8d19=V~k2p@)cZ%rHgUEES3
z>nqb)U*_z0(>qpu6pQ0}QS;_eOAE|$eaaRX$AsvXseWH@^?&FbUbeR^bS<XxJAlwX
za@cx-xx1eE$*LmhkM5w*@V8BLEsC8#^N4@MCcAjmOoOFG+Ls?fAM$Wf{K|;LuN&*=
zMxIVpfj6y%$73P`w+Ww-ynb@(newFbrnYQlY-)4OqsYtwcd6v3J@(RY0|fu8ZUg*P
zH3EOHV-{&Ap?SxlOSR5lb?O04S<c(>$h$y(!5P_=Ki{V&wM9#C%e+kM?0+dLczi>N
zxH~EV_s!}&Q;xj$NwliCbfrS<ova!=`gh*ZtTjzS1DRdfyUQ%kftT*u+`a)t9;7_~
z0P}BvR<3xudKw@TP|~Sd9!<9l#zx8$)g+f5yZ>7903~;QOtpLf_nDRCgxdBijh2)%
zvl1B5y<XzyunY_vDP2(6bA(c<%(42`(Qa|kA3Xbe>T$=lVNRpXLieZZ#YZ}<C!ft(
z!_|Ne-r)9X_43?3AOl?V2GPVt#>Hj8lq)%JUgsH!4X>dKb{TPT+6~VPq3u4RwL8;i
zgGhCm@Jcp=`GXOVJ*7|E`PPh5KEZDttItoyHaIi$9D5>%5uQc+_I1!jLeE|$_qR{!
z+5UOQlb0vA_iva=2;tG-XqM->s%|MO`1br}(nZ$I9=(i@$D3TjGp82^#C3-xpK_`D
z7N;5ggi7gr&a>0$m6Vj#OW&YwaO=^R)WiIK<tdadnSbtZ_D&ra#!YWsmGBqy7vVK-
z`}i>p9|<dyzB2(*yf~QcicQ=&YKBKgT6_Qet^Bs|38C%Y&-u5SYUw+K8n~kg?JJ5-
zU;pY9Nb}=7l#Hgu<!zfR3Qx<qy=#%PbMk!cvv+6<)H42Op}Z|5FW7D!L3veUh~#xh
z=Lw|877BiVW^92U`0pt*q%2CqZ?+4BE+oqz!g-TNIuN>Xo)oC=kJ3=-(q(-qd^~;q
zP*J4st*-R^m6Moq*%fW}9S<f>DESaD>)@uOv)5ojNUT&2%Qn*)k<5ChlpmcnRUCGj
zmx9>oR2kF8>sh^5oo@C(%mQ-%6aDpl`4=yIb9=qcym66Ymj&Iz40b{`PoS*O{A>hZ
zF1>o+uLLxV{k@c$%LX1uNb4~^Q;`h(g@R<gT*SSc$vCGyZP3f{ZXSDh@;Maz>nXF3
zx<B>d=yo!g&A#(D0`xYNIdsQlIK)=go6HGl)s1T{`Fu_8Wae|SLUo$sbSSNqheG^)
zysa+n=#bImYE&Kb2|O^~1}U+&)dPUb#EU^@K#QA>bBO@I2#^Uu!0FiJ5jI<V-gECn
z^R1?6&-u?Buh))f&&_y}>s0&Y4Lp|$sz0&IYi#Jtjf98pbuYT~<x%ZOv%5P}tT-%#
zK<BId{Lkl%9IBPfQ`OBY(BCXALv;wybp7&4X~07|ZKw0tmb<%r*7=-cEaUAZG8dd?
z`#Q33-?o57<wAJ4UtSSvMmmz^1~D9gfR=%uQEP5p+pAezpxGaFuvu~CyKXMSk#-6l
z;FNpOy*(=g`!1|2eEE@PIlPA-<Y(3$&NZs<j^i3Hzck~Rzyp_56#&0MW<gadtGhw1
z^?rsvH{UJid%thHRJ9T$4Y}{DC5XSnI6pZ(g?kxDHJUZ3nQ9tqP!gm1ZM|@s|I^p|
zr-RXeJqq5klwN6A<n6VnHoTHAoq3pLfa>kI(#0)8AOG6&5v9zpw<bEYj5l2eB6N?>
zx=woe`@VGgc2K>f;}S+{$?KyP5IlgN|3Kc#wX2OZTX4gGl`vY%f)=!IUkavaL|(g=
zj?CxfDBa38h>qm91`ZcA6Z#}nhRJyL%7h*pf1&oUgu?>}FlrMf@ETmDfC7VyB0(s?
z&tLZ-C@8;`$i{%b2>lJ>F-+KBPxb*zjIQM0db0Ib;Vtgyi9Z{?c2m(uO#ecSVo$UJ
z4DXN6XA}4?;LjR#CrWRUP6^N6F8v5pcR89ym}FFxlvpo$m`O`T@GAA)T^3Q#BjB~W
z^UaOkx$$3!a5#c&qhofe0Je8i&mtW>CKR!zd5ykt7_{Nj=u@k_Y}vE@;V?2L^U}-m
z6BGjw>_~JZszpfzM+?B0i#Z#Ll#{&LJP&83Wy@+S6eh51lj{GEn#te3&#2P=)lsn7
z+dF4qV4$J?S-6}nX4asgBQ$#O`j`@ua{OmWL(QL5N#`07_9{Fh#oEJJSv(<oz8nk)
zw(Xt@Vom`9ii?X2g)YL>&J3KTy~8gqtcO1c?O>%_R?*G2(wKs+26>0y7{N46z_r9+
z8ijDNby;jLJu($wQB)qpp|!|$%|&7zSu&|lTz35~Y%v)jU8nA{yUG^?ZTNZWREq-N
zo|1-p2t@#Vx6{EPzQ7%%6&+NfCMInmSHLvIV3I(5udRLr_}TO4rw;pKqcz&J2`zz7
zw~dTG-5P>HWj_&0ed@r+7hM3j@<lKZ$0)-09K8sB+~7AVi*#C!u8WL_*!f=6bb??t
z#-)YRhM_O~TP6rc3mzh#Lk2jN3xLfJ9AJVWdOo<YDy=KNo`NvY|IY5H>o>PH%uMvm
z|NafB3vB=4UftvU$?zK6wckUw=&}5rq4;8NkYb#I_1Ddcabj!^n$oqXSnW!jK@bl&
zAG2q&fc;q08$cH!u<gKb{E%4y_z1hg<9D#c8{A>0d?Vx6u=BCxB$9=m8VHfUZ&agt
zo&T;O{e=v4KY=djYLg9njUB|jkt?v1n`qJFRlwHpXmVgw75I4&g6Br3HzTqZaqRk}
zb2ApEVBf)Qqaww(*B4N9xxrXr!y!gm+H!*Z!R!}ZT%UWCMDolpnp{#92T%wx>7=br
zL0%pOhw2N#($CKo!aLhyoYk~f>|zj2#H?A#c%9f_D|&~JC*%70!;{_~qCb2fBSv~?
zf_xb|?rKB*5BjN6v#|reYl9UpR>L&~D5Z(YSjg*<*^^_`#L%AN8944hPe^<Sax5La
zIYVUw@d$D=bw~5>-+!xrg$a6)05wGSPoJI$HpGm0ACXu>=;!fpAsZwEentpLy0j)$
z@h|U=H9R0N#3{VUO?*KB3E<9583a{HG#)qr2(kiFmrU54cdwZLDpB8_;XT;7b7W*B
zYN7Fwyn0Qvi{%DVBocd7(D##IX<b_$o{9p$ch5a8@#MgZHSQQvli_so^AnZ60>sN8
zXFgKVHh7k-tQwgBg}|jfb5oa1yLl1YoGW}FLKGEISFYTEzg1jD*BT^JJaIYO6Lcx)
z00A-iB-K;Ac`@T{>%eh~2aXL%R#sM^)ij_4AWX5?x`^c{$}Sn1or`vnXd;1FBop!-
zL`GYZ$-hBSs5E{Lmih*sYA6Z)v){Y~D=BRZowH(kamZrykh>2~J%(RHOnW-W(T96y
zql<zV*PH)A_Ig96z4p7FAyr-<X7L_I)Cd>(I7IwFBQkjj-VZori|lW|<QvbMA+@T7
zEjQ^G$9MUS1UXF`Bk-yhK5b9T@P+a~gAPZ13Xb(v8a+|Xrl9q6t$aGVyRGnIYBREV
ziW=NI%MC}1V;u!=QP~n%6xGiI2p|chp{A!ZjyEHaTOt)l%0hfy#J&(6zx%tpTf`(}
zt5C5md6C=x2Uh)8ou2Len=Zb-T2@j!yQu>WI~W9mwL9~qL-6X(auR1UVG<8^rD%F0
ztekkmG5?S4DH8+y$<uv7`0{lIZQX^)r@r@c2<$^O0>Fp&K@LPp`$H6v+{8Xi-@pCh
zj|Me!Oa`CaUv+6N{(+zW$J)~JS*d2B9DG~u^_KWIlBC*8fiu=Bs}=PZJa%=Efx_wE
z;i%{}-zzJ=B~%O)PIs5cWXN{OzpInBMbVgeSC~8)SQFB-x0L0a7Zd1L1W)#TZg9pO
zRp;0k<p8f1qxu_e%&nXlVeT4^S_^evyjOtD$cka3`c4m~sF-ypK{4aW?TQwc-trwQ
zvU^(lQs?eIA>7yLg$x6a50ZOpag>AkUxNx=704L_8g-~eZjO7fTc+tB^5bb73+vwg
z`>~y(dvl45tV1`LqQ_zEnWW&lVLr{Zz5VXvO0)Qi3+rvCYI!8jn|)x{iHDN!e2wUz
z{L|BNKIJ<KkMYyxSO$ZaX;}uT+<woI4u>R)Z-?0eiFP4Bbnxjx*ZT4bx&1#ETIdt{
z`-A>f+8)$lMxQu)O4C!-o2#+MSm8|d6LVyIgg+dbe7KdVgjxnkJ)%@-o~F&5sdf89
z-Ir$?>B-DbFD`rU6@k>#A4%j)BazDA2H6Qq57zdzHBC=I&Iq3+&bXqywtwQxR1Nol
z5eR$S_3++Y@&0&g!jlQMdxwSwHpbw00FM@BaDuCHbtA;uRNnwGmobmKi10D{XW1b@
z7OEj0!fh-F>ct#(=sp6bSlbueOF9}LvaOEyyT}|X%{*y9A~hZP?9$Y_nBh6V3Qf|t
zoOyJ+Ww?o`JW_(I)_&A9$%`hYZgF&n9XIdfYoFB_Omkm<w)|CcjOgt0zIqKw*$?8f
z)m9y;tJ~Z1=ij7Ovp=1lj1f5&G#V{mz(uJcc(YZ`73yx=K|h?7w`#Zvqmw0qw)F&Q
zXO!%ZXS8RTROcifOH{^<k(g$-EB#?woVtI*d9s!Fr)J87Llcb)dN~WKg-r$}`_jKH
zuHql<3=2`!7!l~{+e#gkl=kJ{IA3c+*t#r*?-8t|@p;?Me(CqTR|2Eg52p<i()PD9
zlX8UoJbj0#;c@5IPiOvcZao;_yZPufMi2$oKiId6Ie;~dfbrI51qxKdYxuLv*u3F_
zuj|@r2tO?0U(VL;^D10Wyyz%RY;F3%pqqNFras)!rBU<dy9HHDxnXu{!JTy(K2HzF
z1DynF4l{!ny){hxZ^BE65)UEf*Jke~jyFOWp+7oUS<M~83UWo}E%)=&MUwNZ^K7$U
z=_rlXI6;g?o-5CM(YSsm6sL)TaG8q21d92U2&RNbH0^NvZx@0yVgk3tT8HIEC-pAX
zm)a>3K+k#PH}BHg3O=JG{Ei*7X(j8O_6d&K@pI$aHPr^~eJ_%Hj`z%TKi;DtVcS+@
zyyC=`Oi{xgWc0D&Z$cTId-#ofu6w-=X3|)os5cIkx{lT_9s8)uX%6&@L=nv$`!31|
z7(?O-krI|5!BtdVZz7~zWRKn0tr#{_V7&#qdQInRcGd@%sCkW{$<v#bEZsHD!}3JZ
zJ(Gbv(;G(X?dBh)NPp!z-N@j+PI;`{IJf-{W6#8m?|Z7)wzfSEU&DyJDlGQD#AKx)
z6ab2EEA#cAf5jP5vVHG2Ou=IzX`P$8A@)t_9m~=wZOxl+dFGB@KUc*=`~n0!bL})E
zzt8KYHy3F9a@&L|`%6(p<@u6eRW!qE{mB~xCFARNI~ZgMB4Z~@S;`)LBHO3Z__pw*
zXhb4m*e{w!>v_XyY2$`2O4;O=ry4Z85f3^h{mb+!TjpQ8PxZ?0<w4)AvJYPKUtOma
z#{4~wg}97zPuA%<wJ+WT*HlcJ&56JvclBMS4D%j7KLQ|&qZ}3%zyjCSG(F30k9UZn
zz=!%F);I2|Lckqcl@&fA4x8#sS{0a`(@sxH=1^Nyiz=Ok&5lHH;F%E45bYI9q-*wo
z)-mnGsjj;Il5@r}By~zh?I-qgoZRr>7=ZfNQA8K4;Vyn0smrSDV3Oo&(P;~|A4~VX
zXHEUIY@~m}G$+pQ@9p~1u7`gt&zC8LV6&@y!~FE?wlnVpFQeohT)<iE=6izwoQUSK
z=`-E7v}1q7>2F~iSQuNs&Ykvf^T|w0tFoRwbLL;1*Llbr2}r70yRyeayV7R<Uyl8}
zSjqR6M&ujula_ShOL=EUkAIljV~yCYzL7y!j1kSV{LeqKQi@Qa{C}B4`gBa}TFTzn
Un(Y<Kh;KmNvSTyHXwT{Y0@>)SfB*mh

literal 56605
zcmeFZbyQW|`Y*l_r9(hUN<lyxq#F?lK@e2BySrPIl9KK&X{5WmySro4-FNcpd(S!F
zJMKN_`}^xR#=UEdJw!HZ?YW;d=QE#AJj?fkqzEd~QzQrkf+{8|Bm;pwtcE~fUm(DN
z-+TxrT?YSfTECUI{%EFaZKq+W19`7uZEkF4ZET?V%vQ(J%D~K&nVysW740*9Yin~W
zE(QjZ|M>^>W|n#k&n00e!9@_wMHQ?d5Oj_E7tBxoOalmH=DV2C>reJ^&{+rjPop>O
z2WLInWG|k-$o-Q0P;esT$&*QK_l2?Vq<#e7ee$YXsTCj5QYVEaPEAqcynd_rSUk(!
z1}3afxCzHr@WFH1BJUsJ#?1Bn!f=A%<mjG#2VN;+%YI&~{xen6-I<F%&h@9cvN_lo
ze;@4X*0vDRzYo^8o%DadV?prF*4O9HG5w)PT<Fg+;}xRv_X$gEVNlG!&nQpUj{N(C
z3RLpyzfWi}c{xe`_Zg;d{xAIqo;V@_71<EEj;#2rcp|T9eLMoM$of6<?bS#@;e6N!
z*@D)Pa|f<WlRx3Cw0&p$d3mJo#@T6HUe9}x%~Xx?O9p#ct#+-yvb}LBIHT#9_%R7I
zuI%maNUuy8;HCaIZ$M0v>WttN9`mE>5GH$jO-6@>;S{>(%@mlA$NMLf|GxjQS$dHb
z0Y5ab#G+!QGNVPZNQMJ=Lw7T37D|en|Gxk5GDYGufrG=b!Z#wCoT2^E&G>z2B7Y_U
zp=c+)1$V>}sU&T5;2=9B@yFOdz1g7?qC!qi?oYrTI56;GYcxk>zRpEVOsr9zu~5D7
zfu1*|O+$Zid+?>eGbJ~I*BWcODebNSo$L*h8k}!ksh}NSN`^n^TG+DeZcA`NyMEoo
zQCZotkdC(*dh%8l?mW@P<>r1GY-E=<V9Q5BYi|33bcq_NTU`$g%7se4+7~D+l<z4n
z@xiQA5&xAo0u>dNKM8-r#)iIbe?o7=7g!ikQBiY!9=On8f;RNb(WF==ya4Fcyi~4>
z4cBUGI$FRRY9xn+_c5r>gOeH@qgk5g=D62;kg)5J6~m23XTnWnd5z6FL(?|X(XY-$
zp7!*6c&LRapYSf^GuqeW?bu<+X_Pj}U1{iY5z>}~<HJ~4*;C_?UdKI6=)j(~#?09D
z2%zi_FGc<~-zw0bA&D$5v{hImGi{@_=sF!44S`8ueEERb2zHJl(~FW+u92KC<b5n#
zfLYyz*T~4Hsd6)P_eo=lSFb{nlAbj+H4#3Q%3R+~RyaeW-MD(Nnyzzv1=ZmSa`6eX
zNaSEa3qI1pZT1N_uXx<I*JG3Ykndgb$#IM&Srkg&_W|BGDsReAliEkQ>*2Uzjd8VQ
z=yJo3?giq?DsLCexEGI5IPQkjVM5TFr<V7{r1WiEY(ubdOSWFt{LmC%N-)zy<Eh8F
zeS%(Z0X0eW8L_xX-=CnKh?P5-qc4BL_ue~ia{u=ILi)EzA8`v`SK?4gDcy-ejZ-09
z_fBonSFeWVa*WP)XRWu#0@zHZ2J)2HhlYoZ=n}@zPqntMj;MG--XC--%gkSdY&iAe
z`O{l)w7z#KEVfM9cBTnzVuvSu8ln_a3ty)CV}q;vyUE7Jx+A?ug^x*QUwi>>!Z1$K
zPn0<c8}kpOa#<CGs?!KKMyqFn+YJ0zY;Poeu{^MXxr{D%yL|JH^7s*tPB~wZVq_uO
z@NtJGBuMJ&QhbF&%`Vvm^W{`~97~F)aafAKcXzhh;c_$6;rgK6h@7|pqIRvwLgD0;
zQ43uelc>3NIY2g1rZM@h{7#k1*=c{tm%i}kms_;L`$v^&mNeH+Y9}_i4Q{6f`79Qw
zcaw5A0q&0`B4DefxG9K(jSiMIl%)LqT+|=EEN&XVBEks)5p7-FpU>SYAb>MI8^Arq
z!w#;>>q9T$wBC3Oc^|`)^`XvaoW7{22+Zh(iC<dAGZn$);t>$@yPLD49_D`Y>vM~z
z>~+=;y5{E-LqfXLj!F;pJH%mlX~G=NM`4pztdnbVS4vFQKK84PiH%+!GZkk-N65D?
z+N@JYzopSk+4i*1<hU`pTt-nzi022JaLUw<v19TY=#<*fHUvUn)zoftQ@mu?M$(t4
z#)oH6*!zU|u*~@FW~cZ#wnfI+o@o<h$t?NyEYERy+`G#e7z|(K+O_68iTxcZEk>2=
z(=kQWu5-5@t(B`F4thq6tm2wCn)*lMbfaUxG-HR0RKI%3`yuD#(U7us8<s9DE;a^}
zi69_U6gjYNIrrx;ET}_Xz3K}<E>g^^xjyWcr^Ug<#N;qvfY2$HG-wy0rm;m!eEasz
zd_kZ$Xp*{{;Xwm)!?^0&XhQ_g%Nw0|pXPA2xl~9V4zKK5j6D5aupigh5>jrJtq;Mk
z`2NV4sG+1I1tDmzoVl5IJ`pLJUa2A#HMQpUSf1SV6xVz)4I5hoNGqx?C!cwEc@K_`
zw6;dFjHgNv)zs89H8m$n42D@tgCis5bS?(NR6ydNK+++v^jsm~lKgOmV0m_pB4F+<
z`tA^^li&P0X35;HJA!=hxUDQQH_{Q4SZT-IJ-g6Y0rQ}-&)`ZiEUekY&!m~1zD?hq
zn6740UKv`^FylXpbVk{jV7O+(2+?pY+}-Cxal~^Uv2dG3yPL7vTqKCabrmdjbVTqQ
zG3jhym`uzr&|-AhAD3=E@8xbL#0v8nF<6zwD|{H3P-#y@Hc<CGx4+*;UYS(0*zv^B
z@f7N?`Tg_HBi?Er9-b(6GveM@cD?icMgOO)->1#$<L7FfhO<6W`U{gKCnpnfS^FGX
zDwWmN)Wjva-9`@#3@G|i-Kg;oY)*a|F`9b3w*XmE!+X~@^CB1L{SaB-qK?P&;L-74
z@{4sZ+gq0NQQ+*8KA-r)(3rcucxUY^j`u|Rrqb}CBl}m~r|AszNk&=-d2R=>N@N2K
zSeM=$uc$Gyx+UN$?l8~Vap+Y<gtij65}^-#{QSr`Iis7J1c!!(><>FBCrb=MT`Vst
z-p4#9A?c6fw1Px2>!BecB1W>RjgL+o-Z}?fmxNY_&S?$A)CY&U{y@dLQ=l>NRnBjp
z5-3-byg1^oPPievGa=X*TWON(46kB-0_QdD%76F3@$^is{F@UgAz@g@XF~;&Inl!S
z`p>hEh0Yr%I7CFqEp7ba?AL`6_Op4S1`+II7i#m%+};ZHRn=p^xD9z&ur;@P`;xr#
zt+I4HNt=9lN(w0$Gajp9SS>U)h))wly5^vbfW>&?M?Zf-t*>?7DvnH>i(nTA>ZW<x
z&2U2cOXhHQwOPrd=LJ*ULG+h2nX)}Fq3{^>cPNQ#gM`=CEEm;d>c@xA4UZ$kRuk0c
z=ZRa@S(c`=k&}aJ*IRhAh!TXS-(NS~lu@>6U%%oiH_}oH$|rswPmoy6h_^5*X|6?f
zPKw2*H{CVO{>_POaSUf`lstd6ETU|VvG}a%tW2+Ipe7-2e0%|6|HxX`npBRWi$wRV
zOeGO_*E>!vfuDr~lh~(-+#Y;sy;lt_eFMda&Xwr4D-&H<9wui4Yr0kCSQc;T2aC4_
zmCB5hYiefZijk8{rpt0wsv~Br?TT%86v0}G!%H41@i;!g^CxbpDGh1jC7|l%G*q)Q
zY$epZjg#nJbX#k&Bav1$k7;s=HQ;t&4Zsu$skKBSh6&K;y>-%@QxsE}L+m4*+G(lH
z;w2VVDoA0tjH9_yVkfUMjA?}2C^h&Wc?G#mbw{ua^!}(wIYl*Lztp4KLJumDO%YfA
z80xsM%q{OYU0D>#MLkGPiVMDtS<}K%Y=8JoD*UlQz7scw+-eAKb(QVT_ff^!T+Ss^
zB-?`4`j2XmYwqI=MlD#>su>t}z0?o6>8)Y732iI5-v*~~L(O1wagbL%GY|HWo5&Vs
za*yCr#r72c)Yqn6<e@5-H&hHAjZfxaAX>a`UC5Tu?dz!%?W^Hm?%`48<LdkSEi@J6
z(}|{jjT^6_)dWx*zf-eJ+Ovmz&+~|C;Qw4{34xx|Upk*Z<MK-w?iBHv5mi_7C;rFo
zhfT_sW7pnjB<aIj;dhqjeg{v8Cd3R*pHI0(33n9w5~`dh)b8H8@w}P%I2>0>@aJ+e
z-2f>>eyHyaSTRw76PP>2J{L}mS8j73%;bX$g{P>0rWC}G^C(p94GJ7A@om|woYAhj
zGZONZFYNnBW6PiZ1|Q*GOy9+S&R@bw-tOZY6daR2Ta<lQj2>ETz|`nMoZ>3MZd*G8
zOS}5*_S9v|vlKojyhP3vE?4N<mEuAvv}5{`Ovix|qR+WRv?XGfU-te_wQa!*&`vjk
z)6!R@?mFoM$hVoZr_ax7Wi?dJhq1k>9ohXzZ`CGCpC<mPuQ?LIIR37+|3h?yxRu`L
zi{`$`8#jJ>@{Eeg7lTarF)^{Ey*&rBUSDpZ>sYP=i`iTpD1nJxj-^44RH?FFtUa5{
z`CtYXHgvKW-ptI5@9x@4u|)s1urORd&k;&%Yb(#)_0fz)I}y)83zkG8-)wO8%ilpC
zry{RT>pM95cCM}`vUn>TNZ1MXe23l2bx}#l45f0@QyV`VI?dggN^L#8qnoq&<@NRU
zH|V@AplUG~&IqWT+b*b=6cT#Kf4vV&;=B(NO7VW_WL$0CkD=}vBjbQ-fyHtg7?!te
zo+76u?r#{f!j-1sPdZ+SM#N>lG4TA#($<!ZkB<)z1<vE^SFq*5HfX=nV8o-YVIw6?
zX{rhd!9*kEXlO>~?@_UvZ5>P%fnkj8b-vmu51f4d`{q>UQ%#av#*0fzQgCri)x`w|
zzqYrx_vD%`H(PJ<#VRqKts2^<!$Ah4(_HBYj^nWK0O^3qYE42o;AyLpS?wbM5aMdP
zz5H3CKezjJCw=htm_I%<_^cBBL67tEbHB0f-rm({y#$S^5`)kAB<!YyXR{zfNK3Qm
z54Z;saSs)0ym36)daJ0YNcWcEcZ6kFd+&$F#jQ8)nUb2?+12%+!LamjBQ@x-jlk?N
zCZ<f*uG{SqNl|feG=~K#<Yariy}jLgX-U&|cgBEZEh;?xvrYly?@<NEWB>sD>G6{%
zLK+&+)twBNgZOVde6c7Y_UrL>`hzKtigkN6k2eOd7t!64-umH0_3B=p?e#}7Y1uD&
z;%<x=kWhsB_VZo!)Ww6chs!AP4=&_N(T?n}=`d!~VvA*{a&2&jp;f60YiSVz!=lL}
z;dNwjuZ5quz{J85laMH3hzt+6fKL2EI`a5~|3+{Cm`@AwCULE3D_aFc6$qT6vD2TG
zJv#XC<j;?!{~;fs@8OtbbtwLvY@E|X1l~O{(`pLmPYjGQwIfG3@hkTy4A)C|YvEhq
zx&H|gKW+OnwMj|;Ln49VCvN!<wl;~zd~Fos1Uw1i^Ade=kft8CoLJfF{~7m^z}6(W
zDVg?!5a!z2u)&)2R=c%Ue_Aya1IG@u@K5S#`2sRnxz_P<hV)&qeBX-Inz>hT^PdTY
z@f-c7SNLFwXJ{RxHc+OO{?nV5(b{riVu;Ia0c0#JVPF;wmYb=`$jC6_q0q_~HcT#x
z5$zvAEz<ZNcZ|&oe~7A#-uR`ab%<(iD=#T6<GO2?GwNXBGx9J8JMc+U<Aay<_0}%I
zRlA><p#9$0GI}DUr1?t{oP-_TWN*RtIIj1rslR?^I$SZ1D4>ESGAe1#u=JI7$7Aq`
zc>JzBgM))T3B0jiVBsJ9`0-<*P@Z%bDh$=KdpyGDu>|E=n>`O}o{HG=<k_d_g{#|u
zGR9HYKj9PezSE7TAvlMfnMd*xavxkM84${k8b!M6^q6!~cl(l;TL(Ww1V=V4;2vqU
zj8!SK9XOpoxGgym5dgO_O$Y$$;P|>7GpQwF=68)YQ~3%KB)5wu${}>Gx6SS!7&qo5
zl|?JD>n4n@IF+?&j1~~jgc?%wk`u(WDO)~Qv~04NOtI8mtP#k3{Ae&=#|zOdj_&9X
z_3-dOKt{Hbr)|wdo;c~WJ7+N!xSGFd)7be7RPmG{ovt-rsGSp0f1^^;Xs0^==z*!a
z1W2%`3jDe$^!3D|M>>p747q%8%#MPv<TWjCo$VgCndI8@Ddp}j_ZM!xl-PkI`WlCm
z;4|`?vcDlU$Cy{WufBXb65T9AP?-KYx%U2gU3vRkj^~T!t!GWc>H7*?*VZVvgRssj
zq;H<*H;{WVNha__YczXJVyQsD8U^EaD#*uGa}EYSf&Ff}%p|8&9<5+PaLr@%2_cWF
zk%^CT0J@#5q;+HE>K)NHa(-?u>foGE>z0TOkL>=<n~VKhw7<$lN$lqH_hnXRO@mKy
zjNkODO{!l#dq!$G#y!1YzSz3Avj+7ny%Z&-*Bo?JN<q%%%e0I43K}LP3a=;zweLGA
zDN1JM(AQt#J}cTSG{86&ZSPj^>9&5y{^sq?%_W49N%QjSTX^bvi@1J-p4si6K0^7u
zk<p{|uNB<Q&;?C>Q%Nx^9g$DpD6rz{BbPbYhXirbzQD*@mQ46X4woI<*P-uT8I6W4
zwi4qUt?)}^+%tC~Lv!#tSLWlEGiBo&Z#0;JG_g>m)oR-vQW~1>1nAae@%rcT#l1Z#
zF|k!Ci9DXChcXSLW^&Y9!|go@MIR$`*9nFLWU)f>^{1Jz3UY5-k2ke480jj7%T`5C
zQp}!R=6wcW5E2^{xwNyh9+i}jMO4QF>t0?S6iQ~nuyf~tlv-|9YV(fvv8xt8lAWyE
zZujc&g)(=Ou$!2``n)=0G`(WGA=UcrpqZ8NE&-Z<&&_5Wj@&A)8%?klj;vC<rl-y(
z<$hhI=hu`fzKtqrWC>#H>y(9%(ZlW}3yBA<@FOm2#<USRZXU1W_a?Ck2~h-ug}rKf
zz`k(U&7k#5o{)>PRy1CxcE-=Wt;5HtP<59xPejI-rck~jce|iZ4}(+u%yvmKf92-=
zo~O*4d*C`TArH0}hm%pcgX80t{{En>kC{aV!xYXgF226Lm1}H=hlkm;{4qs-W_wSa
zdZ%$?b-F|J9kr&#$HaLNgYs+z1U}1`(fXdNua~&c^@TO&0c42J(1u`by4LEor0Lyi
z!@F_V9hu+CmCw3$#{c@zV!C_`cUjBhD}ig8YrGq!6%kjWQ9G1(fA@528_%EO_Gnk$
zG%o!rFec4PQTekZ;>@Yb$(y8r1``v4(CnjX;ms;(Zej%(Zp&<v7=n#Ql*1nna*tFj
zTcl+RR9!|>&$q4(R=`$L<8Y)uSHs!tjjlKHQ+merYUg-&HdZp8OM`{W78gaBjKWL`
zg_u~KQT_0=Wg}fmaY>nvn31vO(qbQHVNO)!?F&nj-GFSqK^+L(w`8Hnif{AZJjxH2
z#`Vb_%aWMtuXOwrN~1?U_Lx>uy__@sxx3Tyb_VyeOA4~O=)-r`VgVMuAF1f+16NkG
zk&uza#Ko68DHFAaGu}($H%%Ds_wtmOp}Fw6!qi6uIOxw4?kb$rH7`G|9Kd24_@%LW
zSnRfPCh~eu7Y$WxCELdA0lLVvYr$4Pwh62~#aQxlU*%E=gMBq}6iRr%9@&R^tXpST
zyzHw_G^FG4{MPQWx8Yc-dIe<leqYoo7knO8^36^?*hMS8alLg~oIJYn5@t*(O-;qL
zTML=@#l^-Bj)-XcDV++{>E}HoJX-Hx?+7M)K|z5@NZ50_6N$%cj{T}mf^@k%?dg2J
za>6xH4#)YXpE~1E;nlO4xf>6cS>N<TbIk*5o(HjyISp|r)ZEZqxnizWj2Im+9<yGG
z^E{Y23v6hI<%6QBK|S5{nxv;^Vp`y)FjdOS2H>eI==$3Ps|C)-i6<_*i|L+TP1K!K
z^CN9lu5d>w7dWzhm2zra$1hybQ;H7i9NXSbmK{i`16x6GRr@?v#@RPcr^WfJXIGKZ
zHWsh<)oB>n?F{Wn<yzF;nJgZYJOt=)S6RuyN=*s9)ro90N8B(%-1XB$kq+|e>MFLQ
zZSCFdRn1+UqkJWIL56fmbjgF%Ok4x4%YpM#N+!oEO*)3<l^|wc2Pf=IcIRea@?nFp
z^Ov4iY{RyPhDDM66i%yzG1r&)dV7L-hfIxRc_zG?NL|LY2+k^p1<Eb9AH(o8uQ<8g
z+U_o=iA(91zH7oR=Fu0fL>_T&+U^eo)cSmC?#FT^fF+x52=Fu3A=%bASV}>GJAWUw
zvktAD^>DouR5kP#pVPG2nZnK)eHTfu5=Zo%BTCL3L0F2Rfi0Q=ZkkFt!s$Uln+Bf0
z@Rp}t+A})*)N%%jc{q7GoGxUk<we|;o&lmR{X!RlpI|BzkXN<DzXaGZQhd*CDL-r@
zWGW@7X(`0=W8}hY4Yn`?354gt(~r&^u;QKghvfxHH47|o=u$NvN<}xDW%tOpuDY>P
z+V3|`5j7dM`@UrPPLgn?qo({G0XaoCYNu>A45rn)61=@)TgI3OOM&I4>g5x<LLWxJ
zXA4e6p10B*`MXF$07VjgtBhh#T|J-R1lC8U(W9Kge2sD^{fQl7$-G<kvBOt|ii{Vm
zE$WO5izGr0uLG?-{?v6C-qJ<l%I{7OC*wE^zvgBI!47Cn2z?KNl2`P<f!=LU^%1^n
zrYs>!CcE=!)PC>})RtlO757hRs0d2KiZEecGW{@)6v1dUV{}MU!g-<0&3<Mk=Zn9E
zt1JQ*z5lKZ1yqo&xD80uT(g78pJ@4P136=hkYCCN-PZQW-y!(U;x8?fh6A(;419dw
zNn>4r%fiQ`;y8kjkB<$@51_^ULpgE`fH|@r<Z`>{Ruh$w$hCAB&Hg-NJ^bE!Z!X?$
z&H>&%p4;w~!{JKKWIETTVvrR;NZ>bZ{rv@9C+X?wC`4ROiYI%*s6M`=rd|r<-c7RG
zoAbwGdSG6!MSVY#rR;mvElY<?B=7}*k#ML_f5gQZGnC8I8c!B^j^!z-9hYv87qmAw
ze+{RRE3#M?4kYGP%#t)Ppvub1!c__U{#_Gn@wp1cUIq2HF@X5e)Y6))uppDoDHT5b
zMPCuI4Bgx74<Q$?*vyE{R_1rRb*{48la!IcBw#aM=w_%-)9X*5RjVVEl9DPjnO=)%
z{|leDU<05=y7Y{Q%X(oT`OWDnApbxnjWtxeCuJ^AcaR14=4vMaj!NeOP-f}&YOj97
zQdAT{RaF%dB|+gYJe|%@P5pgmx?JrBZB$y$Dvp<z7ZC}mYU8q}M}o^1iXdQYOq(f{
zn30qOalgKHe#)W`sn}!sOV6|*zZWbyL@g~}fdcn*_4wEt#46k6y`&@>3``j%<@wcB
zXlUq1joMbtMexb%V@hUumKV<A5wyvlb7TPoga9<&2e5B}M$lG94rgB^Kt#=ltKGj8
z^Kz9dLjZd$o3AVeMgaHq3jpa2E<ss;EiD=_w}sLodZU<Nizg)jr1l94Dk$m$m=VBB
zY}Yy0E0YJXu${fVkDf6w1T{1?AQi;&yYa!op;T-fD!`)?ujG}_74=W92IjAFsCBu+
zz;d`=bKG2=WdeM?va({nS9?}uwJ!OT)vzUo)yUA^>@P^NVz_DGPfA*93_!0x5qFu4
z10b5C!G$3^Q>A27R9Q0dHrr!NdVPeuHAj-Nx$=$RrqJX{iHn0beHDszgJWX4PIsmi
zN)5wZ94?PHd5#C(@EmrKNyKxNHa&zYC@281nW}3y=6gS`@15G3fUcI$lf8O)uIJ4Q
z_vq22(@f>`pXk2@*@1NFg@uJhT6+3trFAa?)1-=uDAig=3|w3hFby~@R}emCNWiG~
zL^07S6n)#Py9zu%x4%8k<o_)13jNg{#p}ezZ3|sEXeVhmW}99w?&|1B0wrQ;U1Fat
zXFL8gCZ=E@Yz0R}b%04nO}Gvs1Q6{ez`bAL(bvAf6E6VCrPY`%G$!WV-R;en?e(a?
zIGPci`?1OR^`V95d>_<L`<N-2mYFGcmDYgHcb?Q_3FaamucLLkqj)5Jo~1*J4+dCm
zfSUk|a;VZu4+XAy6)GGrht+=3v<yEHWF;>zpH8gdhs%&(2sQmP^*{eL^@Tp8R$F}o
z)f!k(@k3?I97`N(X21U;Eq{nn_;0lMuj2XuqwxQO!~Y>1UTVu7%XW*L(i*hD!N~g9
zMf>9;ie6V75uhrRe-@%xzDv61s`0k<Mcm4hrFr9p@|>L9^I*9hi-@QfFje>*=FcF2
z$Vc;Q-B@jWA4;6+&>wjI5dMSx@e^+TiwKoO=j}qgG{fiUHDbkI7`V7mD$&A}7VEDT
z{Ccc(zPf&MN>%^BVPDZRj$jiziX`spHR;qBe&dLU^4%RiH7P;7=BuwyMJATs!V!vm
zAqi4f1H>8>g>T<P3iky{3awn0T_apG!?Nj2M-Vtp?k0PeKH!(i^jc%2KajrXot%$)
z+0!yIhU#3LAU(Rw!NI`~A3egr!C5Pm_ou*m+iofEJRiHFLqz^lh2v)3f3@d;@RaVI
ztvn&=65*<>y$$cR`Gl>O+t`-}QAOBe#9#U6lfKElw|9f@nfmw(`S5^we~@0@6_0NV
z=0s&lMM9{h_F5T%Ol}fWRgW84{>#d8;ToR5pEpckH7_nk@R4&70pHA{wj;jWIO;F>
z)r;PVi^~a*H&$!T30uke0^k2vP<t<?IUK&Qo3VgrVq&s}P6RvcR(dbD2aUg@)p^@$
ze0hYsvcvsAmS%GL%tHOZF=hr&iDt)FboP~7BHiGlb<_R+JD1kM@4R&@Te*CO;?^+o
z+4A+<EY~jHZ{A>H1gq7QVMr!qo%11-C9lb<3sMtOn+vLw0=AKEvP=l~Q^IXClJ;uz
zor#S-;7!&;RW>&_wRLr0=?^5m+XghFfS}+5kh>#Q9eqnmSjtRi-{r{WoiCHzZTvV#
zA*P724OkuNqxCMKB<<5GZHlYKcCuFKfb`7fRHo;TMn+@T2UPvQmbY$TvlbQ-BBUh4
zl_}1-C0(MWVN@$`BPB&U)6qQ<BStPW5R^=?_$1W#aUI?rh+GKnpdk44a=z3E7v$6z
zFJ1tO@7tttSwS_}UZc2dwsiggUa|B;Sz=TNswBPAf?9(i(RW9F6GwZik+X9r*-|9T
zPF<2JMG0mS?27M2t5QtbC2EQ;afdU5qMKMyMZ&YAufH0cb@l`F`@q|;f&WEF5p-+2
ztF<&SJYX=>wbZ6B>`ix{3)M{N)NAR=dNj4EUFVuwmpDRSr(p|QLZa;$T<h-TlJlLb
z`zw&R9$_(19NS8K7)Oln4@_Q$;&Jtrrta{cF5-{WOmVHs`fNI(I}qHiC;iM%XqB0j
zqZ!QsvL7IMVLCcG3L_QrWK~@+bZBwJ(>pf-I}4Jo4qzTjiKkJQy@xBTP{fJje9}M7
zA`8tVBv<jNgj0_z;*EQD^Nz_KyMc{+9QvxD8m<=oyAMagZt~8*N5NSi?k4pTTLC!M
zOK?~#n(pZC&MCUq@1n1(H8Kw0Hg#Uch&h9H*u7EB<fz^n7k~RN;;EI4NC3dhpxTq1
zmN`?%H6NGZkon}05OTzN`lXbAuXW{i?|JE3Cu`xN&`Gm)jsK7ELs*#c#)q+iLpsSj
z^MKM_hg({+jw2FjuUgyb`Qk16Nv$2iW2+>0yPp#1^nU2#K7t^S%G|1o@M0p_i88GS
zQ29%em=Um{$eEmMjUGc4ZuG1Dvi_}l+GbU~zvRadl913hQ)xvLHeNz7?;N&P%QcCq
zLTP1`M}(23<PTTDo_#5V+wcP+Y@<r}OjtH?;}xX5T*wzx%J6=u-)z5(_U9m!iOhhC
zR|_?u#yX{YhA>jpS|tZ4)yU8O!o=T?Uf$g7xn<hzSsg)YF1K=wCknsZf#29WIgKmQ
zo+z=U%xc+vaLxGEXvAL_NupBimyRx(TWb3@&9s66bBwr{SGAT}#Y01$roC+?5D2qh
z7We0Al{B}n&x~Oo@51+&TFIE-FJN}eg~881)D#c=5Xs6`ak(b)he4q$uky6<O`fq7
zYrz(Al>x7PR%)n+6=S5Rt;)}zKYhR&1`PkB22jH|Z0D8h4`-kP0TBKfu)5scp4GF?
z*)}#}IgdG;2bjsxo7|P?QFTd>FUXY-J9p%q9+oh<a9rsTo}PQ#vl+J~l<&d#J?a;x
z^Ce_O{@VFapifH8V!wFM`uycAe)TichGv94TTi#0FO|{e*O8RbEQel=!TaVk`>#0J
zh3(WC8*<{4OkksG$4{fQA^hk{n8rdzCtH{p77++;Q8vsyqTYZn+ho8mKto*&9y7OM
zUT>o$wd8fmClZ2h$VKTm*J(?4q^O`lAvS@1T{_PGQ_`YSdpv?p=_Lb0xs)XELpkM+
ziKEhD%E|tyBmO%0HL6^;Xnm(KY>lv$xsVD1m+H%AMqfH!`UDsAWT^hYcp&P{-BXdd
z2oeO*ibw7rJMS8Eq<?-qeLdryIcUp#_ko4*O6NA8g0D;{YJ~7>BOA(Ef;oq6+o?vj
zZ%~LYDXGnCzsr3^o|*|5)7v)LQ!$22uNS1G6T8W7L`Zfe-w1FfyCP=b_{JxBOT=AS
zwx>#IWOKslRjN3+pIH3xm^C`s8^ML#q196LOqkCp(imv<K(D5?<lptFAD^}szt(Dq
zK;XVg^PQpNU&5WnLZNq<5+~ArC19n7aPT=LhYcU4jDDPMn+Bj?nep?g6}fd%(%rpl
zczRVcUwZRF?MUT&Ws~s&4x*mBE(M^bi^@p%kxz7#Q0;&`FqvsEF!XZ117ClCPhUJF
zUilKS(Z!pa#q>`FW<g6{-9jF<1uvtj?{t`+{u2G;jldNbdc7BfrNRQDhh_}lps3n*
zuRuZ%(3zqno}?AD1AGcFw|6`JJqQCwU@8El-!4r|Uzlybf*h6=G_Y3{yQnxMn~c?Z
zsC3%1`aWD}@aKPQ?CRr)Q6}>K$<Dm6=@#Zt`@FD*F12_4NGS6k>)uST@TA}WUe?q+
zGxEjbtz{fVe{p!>CgZHlKp7#C`O*lvz5dQe7gl8W=R6t9))@k%x}AK;c>`~K_s1V?
zas&x{Pn~bP2d_PK=6~8lH1EtzJS{)oz+G?6d*aUaT}YWe`4f_}6rkJvIsQ93P718L
zBl>zN9aydsz_SNRXOI1T^QPwJXih6#&l6Bwr#Kv~0h;QS!O)Akn^UEw<>ia%`CHlK
zIhV89cA!*&Ononl6x3aQS2C^i1g3@u4<1Bu+tFWKT+G<byFdsz%-!`8T_S)26@`dJ
zu@5+EF5|@e*cpa|sK~6JI|w=#7N<VOz_3UF*L!6Pl}~Wm<qQc8-5kq{b(u|h>vw-S
zksx9nAi>;Yx%EW11R%x@r;Fn{)iTtbKX7-uUM2w|B?RDAu(>~E*6mS0g-%}Y+SLQJ
zgy;?cV<Pu%#aG~=v$VAA=<jdu@9($Z2H%=g=FL4TAS6Vu1OPH9*?=tPg-)Vsa0A3i
zF)676TLPfT(bhViXbz=`VRy;pDYm|6pA`Z|HV2^VLH-NKcL%r#t$5NOSoSzLqJV)9
zD21IXouNkh4BLVKtEf6wpe6-CHO$6zIRh{*em2z_OnEy4E(`%9f~dcWh9WY$4-Lt@
zVrB-CE-FN&+P0LkQ7Heji7I=8?Jc<AAFd(0CgRiQwfu2Z42*j?D<qUZ0N6#bckfbw
zI`D#$a=IIA;`fdVfGKfZb}mo05BB%fSG&URJ!GjOK~v*z-@g5&*@^^I?B;PbxA#E9
z1Q03XUzmb6lk!<%5T))2Ix+zCD=Ikt!92*G%?^S)<{KDT#-OLI4X`+xz;Eb&aCUop
z3vlo!M;BLDJ_iQ}ppwt1%F4@kw3E2?08qQ51125_`<3M%p?9%1cw50lg&nfipC|<a
z4ZenEvlr?&FE81uh)*^y7USDqK0d!~$#R=bsv@!MW@Tq6RZ*oz<3m82gE*e;_IjZb
zK(_@21@{jR9~kon0X-hv+$T?-K+0O)1Fs+SWIRtv1h9Ni-msLElnIcbd!ccm|AhsR
zR9AmiSy>5LSzX1z!;{bIJDYdw2T_nshWb(_s9&ESU<a-?c_LSC=T{rjx(54YZEnK}
z05>5Kx9!7cz%K^K5V^m`40Bdx>f_VF`Ijxb<8x)<xU{2Vl}pr2tFok78gTIqWPhe{
zc6Rm&4Acd;rKPP+lMxRA6}5C+sZjm3=feQ*6Jf4tWZkB3h}d1Jzs2e#tM$HI`Ckv*
zb-E)gmIK&jr}{kGH)ieT)4@DB-kYx%ti6v&sgc~3rL3%MDX)o8zO0EdyQZe5e4R5V
z$oPO@vb;PtNLngg$wls-*{pg_O1l0huq&31L^~6|n)wRGCKJo&U9UoFgVBh2I)Egv
zllW0@ttWcMX|EPKQyB`j@n5>VPn~ALI3}H(lo^1m_mY<OVG>{|thYvd0gE85tSkY7
z&GCmtNCKWQu-Omit8hc!y?bZB8ZHO5O1KZcJKzWa<)F8>`CuRL0iW^4URvfE9#t`^
zH$VbO_$2`|U@%j`bnk|=ru))04(LS-HOHs-&S~Y~VkxAW5C24?<XCzf{VRzgtugl#
z6nn%DD;OD)@rG_lNv)dCU%o_WxD69<uXQ>bD$)_ZDtu9RBD@964DWX`hU0F2xG@2;
zM}2cB{XPwv&TzB^5a_9m=PED@2N9!Acp2Ut4@;fe02=HGF0R~^Du5{@Zr8tDIJvoF
z8yW<zZ*Gj#&4i2%x2s^vtXzJRFd)T9f_UJu=zs7u68k)kYo2&Nr$417+`IE-$d;Ct
zM8(B(%KA{*X9O%Pm_Ys^1vMQ=Z&OZWy+Hm26Kwx{IS4Q)_wG=1o_$E7>m?OXRYA_V
z+OJ0TUjJfpcnT84$kgp9Hah<`BaoU(%WgmhoCCK_ak{SKBLAccrqJ!q6=2ny%M-2r
zg~pyl{`#TPwCrtUWqy!Lg0}-4@7oAEbaL{?ga5(3aL*6JlQ@6SxVWAZB@_1l`N{2I
zsWrSS!R__}shitwHw{e8)6T88X}dpnwuOHaF1V`V!v1*DSrYd->MZ@QW`mKaY%eNK
zLBPrV`t?iFKuIV+ARkzcWQKpIWRS*$g#NW*0lcvlcP-P=VIw&`2(z%h`A`0Nz~R_P
z3e)qHO>vq??ZMppD3$)Y1jvT*|6dG0t#oMtOdktr@V|Of0+$mX-4y04V^SE4n>eDF
zKRYzX4-lZ~d$#>s<%M;OL)azL>;&_sX&162H#hCy<;pX#jqiXGz+lAfMFjIj9B14j
z)cnuT{umRe=$BeTHt}3w_Yn<t{^?C+ipkG1GEEg0%ODw~gOzl=GaVTg_5|q8$T+|Z
zZ!ZIX&ErIvh5oSUq#Wakt|^5hbUex#HjXIbe-82Ao8#GQPw<j&su%DV#0^|A6x1k-
zZ+qP|spzcq31y@^V9kb%7XbhEMyO@gnEO%jS)9^sFDBj-m^Y*i{lf~<m5DA6`vtY@
z5m#>TcAkwc(gPjs4i>)30W+BAudr@IZSsw0gzXuTrr@~f?qkyMHbezbip#NPb<bH@
z!vO$*RcDL!_4j}A@}*B<A)|L&@zL;}{9PMu*Z1!SXou}QJCC?{?a;IKoHqwJK-}_2
z+2Pf%DH_c4p`sYhg~MgL%fyd2c1reV+Agv7XQV#pa?06eKh)K2NKp&4ib_0M!m7li
z>}$}<Sy0z#J={ZYT6)8n#e9rxA!!Vj+X87b9;H-5PoYLL)R!I-+9{;1omMM14l?O`
zWo1IZI2~_|`i+c?DEh4*?|u!##-7GOfy>3Axs~oU%Hzer2%a)8gtTRPJSvo@Dd_L=
zMvNsQ3csRy`4v~j*q6Th(RS`ch$=%KtP%DdJgLoKB3om>XLxtNs(72RyVhGYbg*H!
z<o8il13!FcPmlIM((CXsA`bJ01ZWJW6$RMcbV0ak&X@dnE;mw3pUSoC?XETYE6mjI
zV0lb=7i&$8mrf=4_=vv0>aW|vqQz0az~GQ+^;WEOo+mCOuc4Q)j@S7mC`@eJXR9wy
zDyO5ym&@yVa5RZ@&yFeJW<3MdAH>ELZ#nsmH$)%QIi81L2MG=j*O9Vi)gNf6+dbYK
z#tVo{Y(F|X%S=m4lX0L4@~U|<P~0_cd~+pt|6<Xf_4w)JC~XZL(J8m9{Vn*5lTgk_
znU=)-uzouo7;Ud}!jJ)&5Kn_n)*?EL;3|5@F0QS&*4br&*gn<U(w4H<-Au15lM8Xz
z9-B8qP%`}HZ58NncCT-Q0&ko=V9Bi9{<r}s-sVufzHt-xo4=`@;=;)Zucy8AU0>=6
zMBL&^KAL0#K>khpB$M(DhY~IBmEr2pKm6mbpgLgVi&S&P_iL5Wu)J(1cJc>vuFW66
zxhI;L2y=e(_>Hz%f6DlLf|cmKONuqUYDL`BQTQXB$kLiW(6W_NLO!=EC^xMtv!lR$
z1&Tk0MfSh9heK_E@`2U>WE;R%v&;joQ0HIG;^K948wR8TR<<f&6B1*o{k22Bou2Tm
zU6%V<5;d(-gphOLz0t~|WSqV64o%saV@QFf?mCJMmCsgGVpressdJdD3(?oXmY&Xn
zq4gs<BCHXcly1T4dSEi_Lv0B#?(`Co`>fWEfU@UC#!#QMtQu;~$L$qZthK?x?Uh5a
zKAIypT&y>mx<jAdcLqHK_2FF2eX$m|*zC=0IP%i8{>BzmR_`+<<Fg6#&j;S1|1zF@
z1-vl|%Ln$CSD3sb{&MaN5LB&ZUjkO2#88&61wK9%5w9^uDXaVi+PwxcUbBX;gzTch
zYq1hl`wJAZ9~*8J{t(Jn1n+g#U!r5+7~k*b7<%^{3gmtZl+5P{8k)bmwF94vDgeqy
z@Y$p+EKl5le+~mU?LK_?&<n3sipjd6Yl_EDm>LPMC%F=G(yJ(w*^_rs22zEgw6_-{
z&r@ApcbMsGWj%ZtHFP|J^|XZ<Q8E(yO0t^LR$JwMDaNP2$eSpxk$ASQ<$jQsVN@2}
zA-Pr~eeb48=m!eFREvPMd*}mzwHiU{!lkCBCZ(ebkWLkb0Rw3G@%+upmoI@a5{#$?
zfE7k%OILpyxfr#UC8znH2RlH;;Am$4^;mH}VxQ}SIt}yFBr|6FS2#^Kalm(t_e5j6
zmeqwF%H@)O-PX1*q@=VY-SWA_1d@2-kyULhWy~A<68-EeM&9ChvLvb$NENK1Du2w=
ze4H*IGhA$DCdLtlkCgq3MSOjYMT|fTE(v;U@nGp{_%N6X>}H@FK>g4}U_@L^6WGM{
zb_4_IE|Fz(JUgTlmq$5z#K44?vBN_t)361Jyw3S0wfEXdQgV4QnHB%qT3O=PN9I)z
zpI!-sI`##=TiGf>a=)tvobH!YJ!9V2&D&~i#dsj*gbl#P3=&AIVX10WN=3jwjNH6t
z=ou{QFB86$b-vf6pnx&oIFj4nn}7!!EK_I%7@WENZtRMwqQ9Fmf03Na>uq+opW(!S
zP|WXBcNcZj6R~j7SC~H~TSD`2G3E!0)5cfV`*GxlLMOW0_{#?i^U3U<_yp9WozoHD
z)Zm%TcYjUD<~-V4%X>Kyj)H@{S#Y9vCnBX)s=PI+1<t-dmcIXGZC3s9wR4<pIO|se
z|LP-7?6E}7xG!?c=Kcw)5CHre`*2O4vD+Z31_)AdyZ9H)V3oMKFaftYM|{!1U^U2}
ze;sH^fKqq}xQH%fE11G3s~XuP@)|drrN{_S$4Hk-Re5gBc?FSX;x`-@%MubN1PkMJ
zxNxZ$^{4DsYae3Bn*V6!81VOUyWkBQdq}wrKEz>KZh>I7vgvY|pf36KIya;+B7ADy
zn)!mQVPW;F*)eL|WIe2VN^TyYEX<Yn|BPjc5kQT<NC{v-Ppch5p6}oQR%<KENm@vk
zrIb3OgJ$+T#C>U50ZObzVIn~ynMwPi;_RzE99v`gXo09xDf<PtEQbBCfZlH4-+TmS
zr1R5M<wPLdCp8tBed2-qHr#VNRZ1P{Yf{h^9AD~wRn3@8iZo*VTQ0MpKlx9(O!fQn
zxiZ$(5;95_P>kAp%xzzW^F%QLN0e&-)FireO41r4u_vAL{?l|B7)?ceTG|UxPXaG7
z$Kv8*PaJ1)(<Oi#gEbCTK=)OsFn@k8;1|l%I^SNbfAjR5+y-=oUCr&~HV~4J0M(3v
ziP=O~J|ieCjR6A#(-Y5)OF}}DV84WzA(gnhF$>muB|X*TXTKO5GpTFjH;B7W9yN5*
zIf>oWGjN8~%ytG(w$w9*EmX)}@9!%`e!f#1L?5*jVslLZO`Sh7z$#ebVzXQkZ3`so
zw(92<0lM~Vl}&MhQi(nWsE*T<lH37t;X&eh4)e9~g8{*Pv)p8nj<&Woqr;*0?d5p=
zE8v&}_Y(Mn;fnS8*X-)Ahyn=MK~p1diQ#D1Up8?|l_AD9#i3Wfm~ZrgRvU&;oiB3Q
zFAn8`tkgH*F8lGtyIt$E4_V<p_TJdx@kp?i(cM?1c4NtJ-~lqwR_p8QYin<Z|Jo=3
zhKJ+ld3$qp1h5Qnxlz}QH8;b8h=2w}sdw*?AmF@vk>AOq$C&MCr+l7E*IP(PS@}QU
zOv1;~)6xb~MbLo>p$|CNsp#l*HU^Rb;LnhVe(*tOvM-)Hn#aKs6`DN4MqX_wHjWq+
za<KQJOiD%6K=paLgQsy~)eqjI2&?69A~1MyhtK1MQI`TevGB{z)L6b3y9}=@%)=j*
z;My~~;Mg&^1wFQ!A)huH%i~4Y?Mdk^6oM;=?Q&1QgBLi8<vxhrqdXFrl7PG3N7E>u
zg$PWTun!zmeks|&>i>#gY|p5LBV4e>eaUNSPuysc#~9_$Q+Q?dKugfX#Lldr%zGW<
zmSDO(`6TAy;r=bd{&9|-4LnH6LM>nZ3;EITORJs3V(H;Mi2^nXTIGtuCL?iiaZaGH
z0ojU_n|oSS^&cDv3<5g39-unVCI|pJVgwT>BqRg~Uof4Wou`(5txbSS)}O69d8=0K
zdgBPXv*ar+$qCp^SAfKiJx2NBMIq?l0^H3Ta3jHN$#6Q`eL+tCOQRVMfabpIizAxw
z*0#2LGfA$jQQl7Z2nvYwYk{1{*UhmZ7o%J6woh;EuwgKI5qu2M1dbmw=ct|kaC^(&
z(y6xA^u4B<(&?@`WYWaDc-8DKeUFl1ahi4`WXEyjC_~zrMQxVndx4o7K43Fn^j(up
z-`-+dO$Deox3~>CZ5=%<4N||e+n%_*b>l3d4Zpu=eF{mFjEt?ql^$KWx%G}DP<9Xm
zj#P;{dwC>|5{QhudAThuyH$aJMsM_&QN52*s|^LfRM6=6jE}FbiwpHBOOjlHDqeuF
zY2Ae`=%S*|O=Q$~0GtH6eQ}&6M&o^|w=GywjIP)Az-96w7NqE<Q+lXNwZoAvP-;K!
z7>(tthyz|8W@EOR9r$8?7S0V1W4Rw5S_01KzNe6gdx~$q4aCfJmJ85tG~qBpfFW~n
znvIGPrI+l?S6skaK^GVtgudJU9vELVidfeBErHDlF>@GQqf{Q+nL)<CqkdOTCEra4
zjW753$X(=9QLL11qSB$xQlv3d|B{9}qvq$gj_N8a5CNbAw<($~4g|$c)Z6psc^%iS
zx$qPjDtWHRZr!;UNV&3Z4}NLRDOa%q_!ziGHjN9u050{@%b>tO3K|+@cLLLjFMtz(
z6xwXdUOjFt2EBZpMLON~E5RZgfZc}xUXmUdOH$qLZciP7jyZZN_!uKNTV>*kjhDA}
zsPtTrlauq|!wEjCtKUYOtUjQ)`vwG%Gcx`F2(8%p!ZKHuhDI)b1z>@emX=S{uqPun
z*zasdJ(wpQAR|VKmF%*$6sRUPl4}n>m~Yspb3KBmiC87!a8=-~20)JLHr)g=zt*^-
zR*{#Rdd^mVIysMCF!gRYc4`rOL0sSyLbO_5+sf(}v!iEVLNqLfD-~1%t^m}72uMgN
zg@uprh1mTZwVUst53$&Alo}3=5RjZA(4+GEwz+#?Tz|7;#&b4f6&4n@-$hff4-lLN
zTWmB_^Xa!8uwmR+u$eodK0Y~>adYLst<qr3CU@=t+EoxyP+qW)pGI^4w)ng&a9Q{Q
zKLI3P{<~{t&_zPX?-~cP<8XzARt$?l6EOKuhx=|14C5KS-c3mCoOTQAfSKjAe2tz7
zZfI!v-OEZRbXfJ$PsH0w^*YN)-LA<2oOK67(OTP&urhFn`NWD%cNivQv5?RcbBk`n
zJLc-pb6N$f=Wo5Vwr#=u;ixerFd-IgDHnSam^W=RI(_fN%QDg9f1=U@K3u-anhNka
z_g%2}uTz`e7*;J{_kq-$P8r?5uvL|mm6bIrb94Q*+5<mtM1vA#l>4e>2D#L9Hs<1J
z9d-b4Zy?7|k1CX#5?QVFEcS8lX#-!`=>=9lH9dXX^fW>0pig~0e_dT2uoMALWY_*;
zGhpNiC_=Mj@FyI%PC@Qjvy(RrbF>`|2^;4lyPV@Ial4k}x!GFW+!L>EcYAX@z?bHK
zRWdcsR-HwZTyEW{{tDAZis5M)vfliiYt<6oE8N^<gK_yLw^{73gQ9+X2jAwVJb8~~
zAs?)lSWc8!s<tu(h!u+CZR@XCz2znyEr?WW!|(so&IZk>sW{FqqXNr82AAi0zZtM|
zV;yB6H$r)9!1g=U(%SkthW|j2ea0LXV4!;p4=C#xHWS5Uxm`foGR5}J02o$cJc$W9
zv;IMXonKxSfo1YeN8QOs%o~l!(1m|>>ZhI@9q0ZHR|HzD&<qJ27XMVlTfRyi266BA
zMU>w36h}FqOP&tJ#`2%@KJu0-g8sTo-CqxtBYZPgM|OR_k$5pmgFduen@PoCABWvv
zBX!DvwYaAgCNVP0TWK~;3ABs44VJ?q$}D(}8cQ0C`pve*&t-E)-f||*G)Z-9+rOXF
z5S$~cvZs_fC<<_p=)E{W-}09U>hPl0(i;W82|y9*-1<UqK)K1M7yXk1YR88oAVj5f
zV?R4@l%fpuh<r*f`kc!5Gi5EENNlbTB;@Q*uKEhp-Vy1t7cn7m&UFOGncY)$jr!X+
zHm<K|caB=qT<Rw3l&z1SB(jn?Kl<C3svMo|#m@B)3NPQ^i>XV;V1kcO+(025YwK@A
z<_PxI<f`EAJ4bZj#ikA?k+1oJEp@XRQ=WKUz{IjM1^jOYxA^`E6l@YP@5M|PS<A`p
z6CF5Yl)|8v&yjoj$G1)+`8a;bmj7wrB9)mAgNATX)<1b=89!|MzdnFNEIu?C8QA9~
zr-z*cexv96bb=9Vl!>_YN4pdHKRn+grda&{50BR%|F@6VX!+kfUIS3Ke;u%+7yoBR
zm85U?%5tj;f8Co}iZ9nRm(Md>o?-t}2T_-%CyA>U1M~A8mMD~gJj5A-M;5R90{d!T
zkQ5WG2T+=HTfAmu!E|H+#cbs-U*)VGo~T$vaW^mKRp8^_^>qif{-DmuL0{$QILxSe
zbQ~zZ-07ku9wuUdOB@bhDj@`t6T6&!j+Uq>zV3XzHt2M$Ie-uYe0LlByz?7FLu#O;
zz=L#+g^w@x;lpDM4Gl?O8ja)H6%wA;V9b&RYAb>|IC#~Ary8RO@~%{Bj(9kCDE;N$
z@JgJ_f@kWbO;_CNV+r5eFEa0KQZu-S4Auj&r4@mzA`7cFW!e{$N1VL4b8`=n&zikw
z0j-(!{JV15*GK!+qvlYF)<dabjXA!kDI(3M9ONv37@zZ>WwgP?>#vrYGk-7^?+*IH
z`N=;iQ(Dq(T{E_IhEg&cPcS;AAm7sh`1lH0a^s*IGq6!z9drwoKK*E(`BL%NS8p0#
zZPbvPR8CXZ>)t`dSLm?=OWWWyZDK}YX;R0pEpGjKwEe<Q;{4LRxf!#PS_Ek^XghgE
z@xb|Z)mm3CkZzM4Ji$QL{`n)xxGYVgA8JVTcZl!k!pHr5M0XTjMnJ!j)mg9k?(MQ0
z{GwkiU>axS<0Wm=Gc!Y@qdSvcf2Gdj29Hbd)E)<##yyPy%Fu$*C=?2^*}FYNS4SJJ
zh>#*h6Y&+xa0U9CHFY7gXRI2hb6X5?a0_Zq#w1ljTU8edW!vqol5#X<3CW+y(S^2R
zP$@N}R9jniE@&HkHRWw5f~9?Z5E|lYBX>(#oy=N=qB=@{4mabW6LCEh0BxVtVS7`h
ze!01{PDMGubDEjx3RurIzz7#q5V^Uz0ey%%y!`J6S=iWb(My{4u53tg8;s?-q>p#B
zo@{FAN=;^oj~xYU3g;k-$(8Ix`O3-OX@Un_e2j`vCY!c=k@)kWqSS2`;0hPKZ}j$e
z(+>#by5;$QoF)?G0rs(@1GZjQBW(4Pnq13dN@m&u)*Rv+)@4&VS^c|Mkq!mU_AkM{
z%9Xn4l4*nP>r8kIe1mbNHU5<I(Y=l6uG<YALWaWL3?}nD_D)8Jl~ZZU%E<o0T+Y(&
zjUQapV#(e<#vAorN*pG95_M&Dax|$~dAU1bQ>7<oZq5k7$Hzat@0SL~Z2wlxUzF9V
zPCKkXy#zY8P+r?I$)JCfx0%LGY_VY}Q80}TqsrVju1F=RY+Lg7{)NTQe!)H?C|^5s
zri3DE6Z-TlU_cK+q3UIZ{CY8P2I2b?M@m>vZaZ!qeIN1Xn*DbVu>h^bx<Cu6xjCJd
zo0SBTR`{yON85uP6|J4__h!c8wZf<sdM8&9JYEU=v4VD&X?~5#4l2SMgZ0nt=Dhb!
zO1~d+G!hD0K;a*L^8DMCHBOrO(DaJ9D|_?Q2$BN(-uNZGt-SJX#*86%UnaHP!@Oq=
zSdv5?4aJgf@y{M;u{DGwGVp3IcykWx&zr|+d0<w)11pmtYjm6`iU;p#`U>x0{fZDX
zRP_B;(ZH$MuiaI{@Ib4b3MVQ;>YDQrM97@*xx+f#*7zo^r;)|Uk;7jOt;wSy?3@po
z{NEky?HSGHcw*Si`ao5K&uaJtD4g6t0L%bRH-IW47yvkq=f2k@NJ%{atgr+Yr6T)-
zrKdrZR)bG(hi~w4DC#<zT5uI^nnc2I5;QcH{0QfxRF`+agCqnPHs(_<`SocSS%#!B
zDk(!@;6x@cy>Yc5a9*iGz;)92n-h(N=;LlAxeMht(mh`=%D#PS@~Xl8gSRL6%z8Xb
z1(%d=gln!R<W*^HBNsthz?=<~{EzbTqKb-7rT8vh#Il(bp=$u=!(B%||6Na=%hg1=
z83~<I*~+~^K0?Vf>p;HC@7+tDIFmanzG!4w8c*+HR)t!QS-?g@tq%CN=o`)TqTal*
z6mL#R4tE<R$?zAbAmJIB8kF``jz52fXC1s=h4+ixq`j?K$KU#i1s4fA9<JHdP1DCy
z=phN$#2n3Ap_X58A_AFSxb@zqis-~a7Umz8#<rY`wgrKs;NDDbkC|Fb_`Aliw8bNJ
z-$7j(RvjpJXr+ulk6CDZdA|LA%j6T*mQzDJ@8YicKG&YT<5QD);oc3z+ZaOu<!_A;
z20M@Ssn<X3T5aM98vRx8pGlGKhHPIzBLx467CjFgi@UjYYmt_8>B$_$c~Y!Nns2{D
zKL*qPVDGKNs@%8r?+FS>3y6dQiXb2@iZliSlT;Mx5|NUUZlp0lT1hDpl$Me%5fG4^
zbV+we*E=3{?Y;Isd!4h-d!6@>_xC$q*V=1sV}f%&&-WSQ9{2qjG><Tgiq11l$I{fe
zFlbA#Erdlz>Rjs0w-^?y$7LePbMMPLVepoG`F+2!*toLucH2$&iO#2jx~pf#HseP-
zM54Un1JAo-XrF6~NxV1+0oe~+P)QK~anZ0n`y*#Fridj!RZY}k7gxXv*L>H2X=$_Y
zx@hFCY*zoCsGeL5=e2KB8XCR!g;$R>J92PAoYF68^a*RxjHw3TfZiCmPJL#6obSZ%
zLoctZ7`L#`^NsL6?K{6jfB(F$HIFvB(KOYb*ZR>iXNBIZQkgSeuA10!wE2g8(yePd
zPDGNV2=HPw?giM%^0S2V@00MlE4-ap7PlTN31a0IkRL5?{uo;t1>u_pZ9%*s56O@8
zhoZa|8Oa<=M-539?8b&V%O$5=*%KvH76dEsBFVMJW<^>`&fNkOMr@VtF3R=}g%J{J
z@|V_98b0#rlIN*Y;O)w<p9s-<?0TW6?Bt<>E7tPTx9IBU#2dD8FRtfAoV=s$KpU!a
zT+%{EuADeqodbbj)NmgQ^3auA-$U_G%YT~tO|rAPGrM+{E1~oZ-W>-#)bsT{0AS=~
zt(js%7ZmHU@7*8L_NuC($Qp@w<o<~hHwiCiDNgn|<-)Ln+9JNo^-Eqwzsnq9rB*I0
z{GZ5+No?K!dE$lrfx!!`Bt=)E^Q3Za*9z!$?h&4^@P*P{WX}v4D!DF+%fPU7g!1&*
z$9=Ff{j4?nQuLmWk<S*EKM56gk?dnH14mzY`+N<k+;W!je(wOrrp3L9k`+v-aE*7;
zTc|Q&UI>rIf)*eiebCLcT5uo@C=--=po8DehWG2=f7K$we{_ajUvz%)a##C(HrL+F
z(;Jj!(KpEsv*y)bAlel2BSx`?`roT~{}!dvA%*skn)m)u&{rW(%m+Op!JJ`p)XlZY
zW_)7ei8d*QI-^VN;K4!+1qAD0X=sTPbza`sm|SZWPlX8$h?&cPrMji5`4xVqmCk;k
z3L$HOen40J3@Pm~FQPsb9ucsfBm!^F-tO=r;x|%`5CucU-gc||Tetlkl3sDLV0N$z
zbPE2IR_9p<hN0=F5w_z%Vw50{0Z**C+#GyUpy5W&&p#?ZJaFFI+jE#s@arjazGBw*
zF$d$kzm9=ocmynHBVMFpx-jBIq+pkoI;x|%xP5b%%?BXAvVnMTq!!`!^Z#O-bbfIG
zCAR<LP9OMZ%z7dE)c|f?#~*D{ruL~Yf(`*kf##Hu&2%LUP3N0>dwU^+qzj%M5)#OQ
zk-`+&yGr-nav!`H!5q{uh^B<tFzg3ysldvH1GVhmbX0gbeavGE6>aU7bmjNcFo?@H
zfU=iw*!|Fza|t~Na)!i%2Tb7ZfKi-^y13Pt1dNK`4}Q*T6_d@<E_-#!SSiI83}hey
zctHe;4=i*tva&QnHmvYx*zUYV-Bl}q2-11QIL#x@tYh>r@+fX$W?_L~g_%yvmoH~T
zL`tv6LWylXR*SD*Xs$K04stL$^gJ&pkqR*aRS?;E1*7OB$rodgcEX0=kN9^mza|4;
zE)Vv*!dpp1FR~S40D3`;kZro}IeWT)8F5Q#be_xu<6DrQA0Eg_55Uv6!R^;7BQ329
z&uApp25DZ9x#j=v{6f?h&@5CgJbUp1@c^o3bgTDUkg5D6W0=6`7Q|$Ps^a3ZcXMuH
za&i@}Iv)7oFJOWIO1QgN67=pJE9ih%>jUYGd$P|WZW>O`jEF>J;1ay1HCGnfWis(T
zt9&f8WHG%!uBAAeYH+eSnw^-i>>GUkGhoj{L2>X9TxgWt&Q4C)1@yLO&z?n`jgS+=
zK7Q&{(<j@xFJHfYxQlz7lClm2Gt-At5}Gjp+r*^h4NJ?v;z_vfXk&8;q&JTR+$p$u
zCSF__I>W@2+|GZn7Jv9MHr6aYD*>)}xQviH2Hx@cn$vl?x#|19Kk1#B&G|$96H`-p
z_DkA}Mc+vd;0{>@ANf5syUDLK5PxR>+UivHDVs_QjAi==oA<%#c<flVC}k7S;9_E8
zWNeW)6}&c2o;>+zF&sD16se!Dt_C_X45rVYKmS&V#^{pIm+ec}AT0X_#w0p)1YCOK
z;Dtn$uC)jwv=x}L@H+i4I#~7-|CV@@5YbI`Hw_^cR=QkG_+t)38ro0`cF%{yEpVU4
z=F9%P(KFbK3x)fejKDDmGR@f1l1|!JK&c=pGBAzS2@2oEgIDlMk&SEz`TE&LVt<Z4
zo}%dbU7y^3^O6@}qk3#@jr9dW0jpRFh}#LFyC4A}@FCVcqw1(|cc;B#E(hHNg!aN4
zC6XBddXjnLVIEChuS?td-~C%5v9Vgl`=DH5%@32uaYHB#NGiLJ)zoO<+IYX5@iTnd
z83X5%uqk}A;j=M11psfEbGrB=PqF+T++}|q(&PR&^s~ig=O5Fz*MvF7JQ26k1;?#X
zKX#@MnLcn^fPM8{uo=?5e+hrz;4JI`B2VSPT`55pF0RE8>+T`T8e;I8bwF4ZrsPI_
zAK9b=Pv?j$Ta8xxz^#Bt;_3yD0tySS!0iv06tBawF2DwQ;ay6(m@WGJcP@`H^Q!0{
zoL8<Jwq?^`l8hCyWduREZ`(wCYXopgAS~u>W}X7DCcN8e*$371_o4R=Zv<Z}da5Os
zmzpRNlp1q|Ke({Lw70sJC8hj9IOgZ?W;1)%dGp`GzI=-TC-67|Q?>33BteNQPJKk&
zxj!!+c=0sri;qWhx>}5#ok)MCJbwS$<AuMpiXkc6-#-cy1WRiFFEMkea)=(TUJ5?q
z4EC+ONap<wIucG<TU8>Z{Fit`$-R|SfUmuymXW<7@U`DQbAEx7M*ur9e3ODI>^0uu
z5Z?R1>#uR{)AqDXEy`EwTG}Cqw^Zu#KGI=2?-+8UNkZ@iEO1uVGcSITsBPo8*Y7;y
zz7fmrY<LQU8y<1Pn-g*Tao+BRaT;#tD19Zb_FrYeVPeG8GMi`oXJQV?3&TzE$XvUx
zM1BQqkJ(PLm*(RfL_>Hj1hux=YyR@{=YFxf0Yy(ONGiAPRuV+$G%CbA36~nhaE|65
z<zX9T=3+cY1rN7WnU?Ta4qvlW-4^Ywcfv;<g}KGZ(wrMPc<jz`>=%z&#&B=+g<PZ%
zzEN>J)n|$yw3DClx)lNUGKQ0je&Qef@YDr4MaYU}xOksit&TSko#Ou*H;v8nT24Yz
zvd`HTs;F-TW{3?wASh@G8ZG;KMT`o(hFKus6x3qWPF51gN&95<Djbs=zW{{V?^k+T
z44ND#4BZchuf0l{QuKeu%I0V2?%Bai2^O&Q&50`ZIXe0Xpnozf6)=B#Gv=H?$y!+b
z{?sGUHxqpvLb`|uw0U~T+%G;*Q0M|#@jY9y-td2dmQwoiv_xMC0`n&Tc8b@#HB33*
zf*Z@~Fi^4BxlU*L$F4KatJyuh6IWEsecTt*$^)^s81r_77;WnY$|5t@vP26k%5Khn
zVj!tm;iD9nh;7AwB!Ca7(x24DmN1n=ZKJyGb2GAo{aO_7yEZ1&Z0YJ=fMh38o8P&u
z_Z(z$>^D#^P&V2x^xXur@r$pRiJuslzo+7Sa_RWW5g|h$G*$`(Fei5bg3v;$=!3nw
z%k`s+{|1gUL{Wl8T~STNjE-=5Vd(lnmh+AJqqecr%M&!H-(fi8%^5N|x32j2sWNYF
zr)r-_Nfltdu$j76Z08*qb<-<)u}b&TmRV$%Nx~9EmbJ@4Kgn}BiP`iWx~~%ZX*<Ce
zPU>!aj(1$}m99TJ;VW{=uVbTT5Fyf-2C6NmF?i&E=;VD8(0N>?qA*W2^B{UbXqcHz
zK!Dog`E%><$}k|~uGoV~ddl_OxhgycB&#g4-gyVy@0~Ity&8Oi)-dq6r(ix*^Y$=W
zc3ex;B!x4$$>2x2z1liaT-0$%O|PoC)uET%n*&r<=aW>*WW{e+-LIR@05ItzuH7Mp
zB`?f)Zctv8f7Ol6Hpa|kFls%8qgF^LN=3(&5(52D`9db~0!RbZ7)<1=SJWsZ^=@Ru
z3KI|n;|b|HUtpTWM|MeSYj=4K2ECmh>o55XYT2{=9k;Ceg+L$$p~tzwDUAgVT#{q&
z2q0-khJdQGZrbq<6cmkVYEfN8kzt+ZKS3qTkvVrQ(x<@vnXRU2=MnVFIA?Q(q;zVJ
z*!NT&cQ>~$OHNrYIJo<ny^_nH%4?{VvN#A97TZm#86yw=G<Q{uXfJ0+Nb-%f(G4Zr
z=5iAsgO^)$VVa3+(%Dx|OvZGEzNwoi+9?|Zrt}Pug;Ln>CHz;;G#*;BlH;_r1b_^>
z0`<d*_bM2L0;c;{?M3!ov5crsDGU(a=-JGlBX*|PBp)YsjZ!|uGsD4^5@0<OY<fu`
zai`XUY`PaTms(~bq7s|2?$#qavuP%btIuwUPm^ozm&M{xe;|8~sl^;|qf_6v;z!+J
z<QlxDA~75Br{EoaO2y&+60mSid3btaH#RmRqkQNP5z7bEcj^Ht3+D>k%~qFqoT6BT
zqH5wCn|fCZ54&YF7*)o4?Xnk-jz=mljvAo)aH<FOTKwh48~4w5Zq(Ls_J)TZl{^B%
z$>u@~dDIt5!ga(M*72ipj;N<)McfXXAvEb6Fk9w*NS3EBuySSXU{PJ+_dJjZ(a9Sw
zc%m#d`hb#@oEMwS%~B_fkC7tSbd<aylaTUncp8*|(+^e%NF;(qAEx0@{nkU*q{?pQ
zZr>VjVo<_}NjGra`bbq;Ru}O@sHp}*iQZJgo<Xt)bxrGEnvS|xG;9<tWszQ;akP(L
zxmHkn)w=@m-zq8Q`}k@Xcw^Gm;sQFVsp3piwY3<P)aGz`l33)12%_^^!<}hHGkLaL
zotNLOeYcq{KfgZG5x3lZQq_8XAo7u<7w79OB`M&Jn)ow5rqo<bTKZeSjsa?Jc)WlK
zPT=}Mpz`UxA2)fZjeA^=%P+ZAl`qz|D+=T|2+=>0_lJC7XqGshIGy}K=4I+K7k}D)
zW_m0xfwLIOW1C)SgL>{_^DX(zpT@k-+*&h!N|-){r9U?ET6KCeHsg`DPXCn;jG3Qx
zJ@C}4zDfVoae(4Zm7KuK_}I$K4ehYdoVV{ln_!(C!hJd8HTT~7`K{vPc9T6$gLVX-
zl9}5mVXzSXHpgX{ZxC9kXv-%V@fqU)WTyS|kA#&4#ru%3gYa4dgCY6a#svk7Enk4r
zb+E47CfGE4yD;AMfID7(qfzkE_Bvn75RTumwY+`*A}?I+DK{06YX-N=cr;g@utKE#
z_CWzdn%3F!0tPZG*V(NLTy^XMN0VUwomFLo?X_@%t4S0rZahF~TCWyXdKvNjpZKJY
zA5Q<Svc^zcy?L@sV1OHH*3kQryUw|B%t&r!l!$}b@XK(y=c;E1wTQ?HfqBD5YX5y6
zr{lYexGYkC)NlFnq9wHxVKD+<f*mc|9@h$QT=Z&?=y;NZcHifJx?%SDTsGTHJUgW*
zSN{!$w`5?km!c}4s(trcuc#&K%#+o8n)30LtGlarHp|=l=_*#MalV6#2|%wA$ln=O
zZEC7CsT#)|_p0*nb3YFLy%v1+U%H3HX-PoWv-LI^T2EGz<h~Unx%y0xf=w(pazu<2
zX0)jS)~v+w-{9e}M~EAW|KVP{b}>yh`O5C=7Gmw+FJTfJqBW*O%N+RT_Lx6`fm@C!
z3Q(gpGV3+*ag#5Le*dmyb0}edzhD0uNfD5fwm-dWqoseK{|B_dMg=(vq^pMT-NTj-
zTek}TZf0{tpvGWD03UiO^s<z*|Ix{IJzmT;TRj8i0!;*9sC`-D96V<_QiUH3BNNj4
zR*EsNSUR8I+L7}q!N*MC3YaLKibK%JK;Z1ffV0NG*m^1#P%ourWoiYFXyB}3gvSWu
z*|SyJ7ElOrXcRnu{+tLjgs(b>J1TPLDG=bsw|mf!_vRUrW~k?<ukRz2j9`FQ|Cf42
z`^~w%32yhZyu3M$6990r>X5(ER^|+Vohdrh@6cS<!^qiWQ_&XCR%{jrXvD=UE?^=f
zA}-oY--50aXe0^m-uWZ3KJbI^-S=L=&snsSL#~?fowomIaeMeHmGuVx<{+c1IAlPh
z1!z;G6^1+o3ZC82EFo@iz`3Ge`n0{#Z$XzUjs&(kbHQd30)Htu7cZ3Z0(iXOQSWsK
z8gcLRK@RadkkA^#*%1a0C_5Q<Q$KzTgS5aiE~)>Jse_ygB<|XV@_Xnso2)iAHw_y?
zm=U^=a%McRUqDk~0lEwEDgNb&NF8W}6=4t&n3~E0Q$y>fU;H49ALt{%lUrzl$q@*1
zM~?sE++eBZ+{b}dK6AMb5`$pNZU8OmOG^tbV&eug7#WBZfc`}NcA5qD&>>4cPES-@
z$nskZ$-zgR?%MoMVn_Jw*Qm?SpvXN;Yy!Q*!O;;5LW%H<jXVHFrNCm?ZC&`TlvcCV
z#*ZHm-k46DYdz#gIO!d!ig#|^LLruIuxg<OHh-~PoTI?a2ygRAPIZ8D>lnm(dmn{+
zW<FjPTs2C1``-8z)FKW%AT=g{e;5TM?Bn2e!4;S|P(>O{yyE5lkpCBCpuqiyb-|gF
zK<DYT$ou7DVuE-kq~FL-oqATKdj>4!mczf^-o=^uY5zZ2tD4I900z4ZG}kfU>w;rc
zDZv~(n8+OxB(i!8zD<M+M4CMqEhQ<5{SuI{3r5ePk`aS}NiV$Lh*bxq#nS0QW(1Fu
zmKv9S%dX$75b}i5=H^_w&NW4r7wbXY;?u44c*YfPyF7Aj$O(wJT$&CqobT9cHCY|N
zghzFu0FQ{ea;)yz%y5M`7(vgou=s)Q8i|Zc!6Cni2xlPuVLCH^-sS?zFeUf#@$oQw
zb^q{SpZB#KfT_ZOdlYzDu=;lh!J>2p7owMlsDtEZQHU}#F>w<zkB56x;#mD6B_QD0
zNbmi+1@aUHivJw0`)m2*{~JcprU8F6Sazti#32e8!KEbwF~$_<>4(ixh#ZANrl#;u
zKEWI&Q%mD-&L`?8x1$k>pcehtk-Ep@U&s(IY9)AWRdXNU54&#Ct*or<%_zF3XYcjs
z2k|;@JhGebse+3j5Xc{`hT%Xl{^bmcU3eVG2kB8T6;gmB>rsC}Mzz&Yg}eCQl^1%4
z5iCSVhBFHQUXaUVC~^x-Lq4UV3WUmAO);DWs*j&*qLb9ERxUU{?+z9+OC|*aM=>}q
zPJ5we{kO?yI5EZoVu;FIK@igh{`6hdLQr*u>=&O`=@!KdzFRW^Vv)lhYS)T{knsHv
zvu?Ot*f~o6fIKN9AEdx-<(kFQXW<?N&{68g1)@NK7R>M8k@o)IRa25%8n}I)YfgQn
zqeHpH{W)ldB)T7rSL?rz?b!JL(T1CUV~LIbU-E$i1WVvl`D<QLP?|x7PVn-o>(P${
z2^<yvW(=J7cRPJZf^M{IJ8lRB?m1)Ql3KW2?<W)8FqJFEY9Wyw=qz{HYAv^Javvh_
zI(MdVSdFYWHR&d-2eEGYex>RS(7BHj;ZD^tGuo=8;kbzqJ==iJ{rEJFy?1rS*^%$$
z_T_M}VkT>8RI?8UR$mdrmKk!-%y?&`NQb6)eluD~AQ8jm2#-H{6mZXAym0N>H89Ex
zUW$7;WMvb*D)2sTS6C{f@cZr7=p9a4!ArPl9Kdro=3l;P=yw+L#NDtjL}MyC5?|+G
zHA7#`k&GCM$PzWTqX$LwjT}>r<$@?329MpONA){Sj(I18n?mmpDYD#9&otZe#Obd%
zrBIz(GMcpb?JK6?8YE;o6T`kQ`<)QD<CgiTp>=uxY!Tmy&!4?!go*$MrT6?_?2?&-
zxR%KFcqkCWqd<gTEg9a=>>fiq%!n22O^Bb?&Zjgj_G#Z^eB4gbsqPH17NGi`x4>a9
zh|g=8)E^ooVGk5I%X1}<g-To7P}WA-HfCzxr}#BATN1Omk(e7!nG2hFm}hy12b#xP
z_m7@5RnCG?fR(Es;ple$Elus5y?N*1#3RcM=JoXxME^pQfkiU1+-2TDL8L%0e+bn=
z>GouFK6#Los0D3ZVWRf;tGJna?3?DV6^2{2KXZRXX8^j$wrPr{OGn^EMQ5-n-<6Jy
zx0-{7?XPKWWs+t<4;m|2K(86`>_Z{SdF|}>t0P_@aaz4`+<jB4v@iN&zAQXcZ}D9V
zslLdsjWKuS&V%O{vDN_F38)8CFov5Nsq&(Bqv>deI<d*T=I5rE5SfXesNSos1P0nq
z)?q=C_u(gY*~R#)Z4Dg*Tc3~Ze5Gzq)R5GfS=3VbXPu^xBvt0u#uz&pfbY<_?iq>C
zJ%EidS55f0_z4n3vUWZ_w#tb={kcZ`T^|&qS1orJPb~C~ym>dE<Hy~K8d+HQJ}x~F
z4fYKqr(p+LQWt!$HXtx|uU@2&5(vF<=+Fr68wgQJMprD=mKfj7w_TMvJN{Pq%kZif
zV0@iUHr16^fBJ}I@P11%TFifwVtk;)02IUxu-X7FQ3#;?Rgd_=J)Eu{ka}s@&g+x@
z&J{3`DLCH7KQ$aBZ&@$h+&>|~OA&fWC$dv0NpZg^YtD7sHsxZ{=7fB@{*RUS6Vej3
z%G9oVl}<C!_qDEo`Cscb*P7^}j2Ncq-v|Oq%gY-8^8r9oJO+&?z=qxgvqdy41i-?I
zbfeYzv*(6AEPRqO#C?QX^|IZh3@2m&J5Kd$=W5TQf3FaOpx{r$dfILy$G0V6R@V3B
zaY6VB^NRITW3hze<i2}G&SMiPnIHRAINuhZkIv-Pa&vrVX=RmTeZ<NdkWl*O=jD3U
zUFnh<yu_auMW!COWP#TPxu}BK_2$x^k<N&lHe(Lo+8*)qwvh+;uRPQ~+*&yVw&jMA
zP(Z^hI0^V5L=0jvkaDmBCv``Oy#+wAyxWYJI5>z%Nl6zg4&6|&CPM~>hdpH_b`P~>
zcU^dMg7#^LU+T&Y#W9uIFtG41C5(IvP&ZbTn8hVMM|8|<mR|e*Q8$XG<XRY`TN3L5
zT<0wB=!Z>{la=&qcwh_$dWR-@{2ahtD)3eGmzk#IswQKbZ3b9Re&dh+2?@N>Fmvj%
zi3D^?$TJ=V_v9p`Q6!|KFft+<;;NMi3|Dw{SK?`Mt!T^Ty;S)h%Vd0n)3s^Y$Y}h|
zdR@n{qfRyc-GPCP`va7?X4vTp9JE;66e9gCV3v{AIyr))SbtAvD#6HT^xzy^6yrj+
zvV{Jm={xj&C~D$mzYX}4f|`uIwh6!1zRWjpc?5~=_=9NLmZL8PP!usJWuW-dT{x<n
zpQ|?}zMWVjU2Y`q$si?nFAFvvNStHXN@m$he>$3Jb*;cweojz~%l=O55wTek*C-XY
zyuejIcN@P~b0eqN$citL7I=!=d81mNPL!W_NaqxB4tVeiN)Gn5OVztqK*Bc*$XN5)
zuJRi!Hh;U2wq|Xo4D<%XAfqB}2hN?~u(0vcH_6=#@f#dBU#A`2o3)D~b?nlP<9|zP
zh$rGBdT=(5I67x)!MXB&Ro-n`Mycj%-P{*!P1`f<ByRjsuwg`4pQ={=(xy+4)76I%
zJuV2heRM2?OZ4U&%_k`Ctu<oH<YV1*eoBNNjZq6ns%{OcDv=du5(j=H7SypO($+L&
z*KlFqDjL^<6zP}nm35CRZaA&^;K;d_gQLFPU;e5B$YNTnW)-HGOx4TR_H0wmxQc>1
z1bi(ITKm1&ngyR4>fS*SNm7^%X_{o2vT-rZrnrCaeZ%W_a5=D)Q~dZ#OF~p?$f1`?
z(yi2aucCNq_x_;H%!lhE3e7p^7*#5pj!sTaMTEme7d$5qZ+^3_3+X~g4fVv%oqr4*
zwrH3#n>~N+>h4SgEZ^rt<qrHtL_Oqsh8>t<4YykE0v2kUzTZyhB6inVs>oZv@`jRM
zRa@g%Jx}j`dKWoG#>X4rl#mmnda*`ZJIXo?zQvK@wg@KS;vW>AyCn8T1AoXdsz|gC
zctXjgJX9#z+w@?0*|4Q|BgQha{Elil-9zF5=0wDe((|3+KF@1bX`LWNBVlkckpyY|
zp^Hd?E`q<_KOjBSZGaj#(|KZHW4QZiwORy4V8{Hui;3Lh2;afg?CrA<&_4Rc=#U?{
z#V^GU_zC##2<}Zt;4MA**=N8F==pZ;1nh=cCyv=0<!jfTxp}oZBkUo=dHat0p1UHo
zix_fVCntzPN{_D{CU1Sw2ELQR?e3F-?uTT}xPfnPS4bIkE|H<^f@G7ozwx#V{$3nH
zmImRHKW}xZJs9pIn0UKGywz1f$o(mHEq>sSeG-c||J(K!<mkBbPr6Htn%+M2MhMaz
zYI(V+O92)Y`w<A{bfd6B`5nNFHm#sn09-r37=HQ%z+{Jr5FQ?=$(C4I=ys90GzyR8
z^aw-@Cr14k5MT?U+K}`^PMj<_D)~=N7WgP)41eKYBc|e<5sEpu2p;Mb8nrRP%QXRk
z1kn_b%+2;xydn59ZD!i*w3lFk3u=Vna0?ID3(EtzK=8uIQV)c{TCqF0BrPL@Jpy#z
zDS!{30ir@o%<0v&HCWzaJ)nSGgq_EU^`VjpZi@J?Wf~=))qfUeo<4nA^gU1*$xVS~
zg&HYYDzEvuoCKeQ<UHUUAa#J?k!kyyJ|zMF6$px7%41?<UqBrM^hN~R1WyPQ@PuW-
z6%*dC3V}#aeOUgMFvKQ$1NsRNgQ2B5auu4n1vHQSz33^vp1?Vv1wjia_xfT=qjhQe
zMSD>MBX#=M-qT{ne`z=QE26TA4j|bf@4~K{_mEh}eg85v%N*LJufW2T3t1=F@YY*k
zcB*jD?i94hi1r172egnd*#5(TGH5ULk6Ud7P`@%%pND^EsAkrIfd%X!B$eu{21q5~
z!tf$Y+(=+hLojKf3A|PFLuDntn{Un2GuCKy5B9bZ&NO6|_#gFLH8L_vfxqY4kX9>l
z^+^3jJ2m>01%hPrXo<##7Y@G^i{Ww<!rceis0Rb}&d9_BPLC5k%?nA!bLZGtSy7Jy
zq5(7AGnb`N7zmKJ9%ojB_T;*|5!EZm68%q-%-_8h=XiLsm105si31Nt#`RvrytTFR
zo&9u^4<XfKjFx?u>R#r%x2=XAf8smCUY{(RKo#2|FXz}+IIsedwKxFh2`6->1K)YS
zUxU`yi64^c@C*jYuo_Gtuv70J$jr`VID{wfN`EW5W09O!_Ts$Ut6K>oFyVqS76rZT
zSNP0Osvy5y8FJ81S<rNN4kR)y5U!*^=V0&DD6!)NQ6`_;(7-^sKdFJP>+|;Me;`4F
zHg$xubtR9B!#Wk_YB0wBX%z@&e=JxQ2yMPzyvp2sE9|>-Z5WdN8{b*$609UzEZfvZ
zoDWdSz-9BIY!M=M^JONPRM0z}IC&EL8$f}e_>lll7AqImTM$T33qJNn3|P0o+XeEB
zF(#7^1s{ItY9srGVC%!Ludpg%Z~;r~@-|tqx4?mafymUxFyB#(l$yr_*sFhXwp@t)
zervlFEK9+rNvX*GsxOp+KtcX<qO0Tri-68Q=D8>*UqGB|GFXaU570v!sVH@hlfY*}
z%`4&`?J2S62D|V_(nD+wi)4CHr_N4uq2}HPjdeuu)xnGt0<>m8&rn}6k8#!d1zNtO
zdy0G$$V|N$KzRYyNz>RFglQL8k-0Ge?mIwbuWW8+Jt<4uHJNk4?LVyQOuGXJZlpql
zOOFQzVFXhS%2T36t=k-sz9&N9&H&j!=tdtuel(dI_-AiRTG^F$h$8laAqX}q34pEw
zchE}Z5z=LNx9;;tqvhrENh?Y$9q4<`TP(o|k+GnowX$488v5#$s%bwd0l^rug)4ud
z<f*A>Jl4k2a8U1~w>lMWU{`yExXOg;-wQ2`?g%1hiHTQLdVQ&8=g$R>Dianv<Ff<h
zy4Wxgotx)@qK@$s$H)B=H`r;S4+lE}z#@rXG6o|IECTWnKUfJOG21lhthI`0vd*Yi
zM=bdMYag`BqL5PsdJgu*g%3YDeM<W2v?P<qKn@1dmr#nCm5vbd<uyb9Elv?I@;e2$
zQ(gwo#S|nRfv}3;AK?2h`F8+(AM<m^uytSD&=C;+JCMLU@<UVj=fVHW6!UNHd#31o
zrXhVw|E;ddMF<vv^VLQDBQva8!XDcZ6u$K9rO2$#K*YZgncU!8ugzRqV_nz(lw;UF
z7)BLiXQ%o{)p8Xc=lxI$bi6y1<}h3pv=*r89sTv4`THLMdXss*l4dQee&F4~9ieFN
z`_nHL%jLdLPWA?%IvFjk4A}R61M|Rpdy+$SBwK*~>nr8asnLBMo)JI$)7|Bo1AiHb
z>U1=09C;5i3dNP0jXN#R>b1hvbZ1(pBI?b&!@le03vr*fe~@#1m6tkiRI@j?rr<l0
zH^bol*Nd1ADEDvqOkjzZ-hf3wB&IrCTz}U~7{`>r!8G$gK+Prd(Y2F%R|s*vt6w?r
z(7<k@et~-rgj-&3gJ>dtbeP^dnzknF6yT@_!n@31$L^kbPZ;s%wU++2xi_|`z5VmY
zHmtN=7*`J$1|3~GyUGq%Fc0)XFMnbDLVoQ21Nobt9OMyBDcv~11s4cREb`4G)8FMk
zHVvOm>F$oVHBKXZDx38<-$+*Ln}kG_zXxkB4i*;9lVeAZ$zELB)tBM%rMnoqJ-O~8
zvZ_1j()!iq;hxZ1>}HI0dB}-V_*SZy^{S5oI;{~_zf5<gQ6P^zz_Eu$L`Z_d@m&eC
zGRSA-&>nDN&%#`jUMD0u>GsD{nT`zn3m1mV4N+g&-zQd8=D+6U=Da0y&T^1LwK(6!
zd29IGCoxr0`(`g^=i1VbmBsobU)i5)lein!4&-t!KXY+NXYeMnWJVKw^gdSdIf$Xv
zpX^+tCzl6QOkjkC6TkqT<S~FBGw6ra!nMd;n1ka(=O-aek(ZY(T2mZitwov80aFa`
z-&kUv?1~%;KA%O^GuM*c==w1vv{h<!*ndtU^@?^0v4RNKLjxRzs*|sB%n$o(Dh;D`
zH*f_q&>zx6n9wV?CP=ja+tvtc1ss>F@Yo+|<eN}}DKrUI)_sk>lJ&tA9Jnz3I=!mj
z`CcVRtK<UxLZPB@E$8~~;u=3&zG;Y?Hp5WaXu=J*m|62mkJAz1r$wkgbgbC)1vR~&
zf4pG~KUcsVM-y2ek*sRE*>C?Yv@P^j`$6RLz-<CEynS!ZJncX|gQ~}4>x$p9TZ8bK
zmkzVpPY1jdomF|{P-lBJ=xztYi<Ft{e$pawDH++VHjB9NrV4GUnnoscd+;&8AeXA<
z3k-G{YI(RG@ZgCs)q(m8D$Ebr+E8khIBfJ9I)Yi6JwLNxDn<dl!gWt^cX}jNc}D1f
zpL>W|TB#Z>mf42o^(5ELmbUgy)QC)G$H>UqWOWJ?!xUOMQ1Wps?s2w>$|;?v4y&~2
zkn|_;)xcg&jTj*yl#VY!^`Qd%N%(#>l+~Fk+KxW(VXc-exh}nANP1^9Y)#lb!9Auk
zHJH<CM#n`{n@hFoALe8de<M6PS}HG&h2i6H>5JtKfsE~V_=(NWD~^xQPxDVbtoo3(
znc0>vekbmLuvh+oJT%I4+CIK=d;-rc_C^Dnh~<=-CeKR2t1ik*tz2H>TmqKy$>Vnq
zOgn>$5A4MQ<!^^D&G?(a0uBh)c*BG0^oAMffwg&z!NZ3k!NFBPyl8>4`%A^aIyVHR
zMSy;I1FVwMpdb_<D2l8cRnfG%nbLi?!j&*;WBN<T)Np!deK1qn#n|DUGgw65KAij^
zAa;)ur^6A?F&4{&sp>VSzLJ72u^^ce$wdz?>==spHF&p@YwlLKxxzAs8~Zzc;ulI9
z{j|W<EeE7_3I%~D2pkng9lk^~*P+yzfmlC!ILZw{FCtS@uHx|!nT)iWn@7|(tFAwd
z$jbQr9kiX!ZBI<-w)gSJJyJ1E)DTy^_|E1L$}rwxL`)@~$o7u@9mQKIUEb^pLYDD*
zW^c>}dpggdL&j1Y74?r!L*SdwFhb|jUV<NeBE+I6`r@2s*;>SQ=X2A7!Y7ifTJO&8
z%Z8jFWJ51s<t}ojFI_jdG|-picH#L9wwFfj`%k(w{i3uF_lF5sx4Q|oglRH`Xt<22
zvKl=n#1)?gE;`*e{xMGAoa{Z4XlFUdw(?#+gsD#9y0_M_GT5MDf<Xh@9f~(#lj7pq
zhZh9C+~+kFS5_T64~LE`P`f#+?T+b8pl;<limsQq$5TiR*2DilE~9X^Sm8+D;3_uy
zvPsU2m&(>o7oNXFb#jnf6s>$r{TXz9O6B1X5AMR6ANg$_Z@R47ZtJ8eyY1PJNu!_o
z`l-YnE!L@u82t9}B#{8tEYo<KYS#&Zn^N}stfD(Y7CrdHrV=_+zL&?eVwuoS!@WgH
zqhNds>t85Ort0KAK*wBAGUzX`;ZI0DAvCnh)pRg*-OfT?%B1FD<q#ilrsGaz=iEh)
zTQV2umK^<VJtolEUmAS$dKY*76LF&D=izC~O$~1nJ4p_7y03cYlX!to@7m!L(lh(6
zb#u8(-qwr@?yNlTy=H!3OiD9d526<x(|UUUL4OG8JB;la)Vk27p>vfK<<1G$D5=2~
z!K*($+(QLRzlvh{XxN|l`Z!76kBW*`D);gT>7G0z893TPPDtR>*rn~T4Hg893$^j_
zFm+{0%@oK_6fA9}d(g`Fy$qv`O}e#LXUI`HbE)8~b0}?nVd8@|OxUB|tA4|!*JSp;
z_r@H`e2Dji7lZc%tA>l&d;B}C(kE9!)aV#vNRX+j`R*j?+iyI(rMYwY8u8aB_ZiyX
zwOaC*@1JO>zx>8L)y+F3<X!&^k=+Ni(@m?)$m=LQr?z7|d)i(}@u^q?&KsjDo7o33
z>hMBAZ`(&Y8BoXBdgYnOMZ1*Y-0?Q)OjP)6Jij%@hkB~wcKyX$GkulPU*8T5^6h*V
zijjP<sc`Zzm%+BZB&TGVoqtjR`^|$U-0KZ#Obi&5N9>$R?zoB|$3Yj0f2!j8_k+ln
zec5cbeeOYZg`0+RhI~dnrbZ(1fj?g~ohji<+*zJ<U9AJg1KT0G6|QqUzH&5wI;J-7
z-})vd(vA1&N?@zLEb=xdCry2U4-fhCIKFz3KVK&VyC(bRFEXK@j7DkUWxqEP9_H9%
z95Og6ne?^0^PS4noBe`CUr$b6RwIUsvo{7iw?qnl{!t+(U#*`nh9)3N<^B0VGO_Ux
zmHc|$6V!kI)tdk8tLpXqe6vH6D|zOBy_}LRwcW38^M7BC=>ORFPH9Zb<L9N4UT#Ne
zHWlroQ(N-9(kQGqigtY#{<G-f@5{kzt+|?e3*%^y{5thTgVW7Uai^Cqjx`!T|Ksxe
zA9<7TDeRDm6~L3)A&X^#$!xBCa-^ZPmE{BhuR&v&Lu9H)Unyan2CjW8tRvR@EX4Yv
zw&Vg@i3yv5s(L@ZT5D}2r!KodU`QEmHGQ_Q7>U*r?y1Dqxbd-@ify|G@u8Z0mxm14
zu##&_JZ_K$NKlKp2q2(xU~VIEwE^o^Ua%LTa&vRXG!s0hQz$KmQ?rGM8qWHoxHCQO
z)mJg(C72BgP_d%BI^V`xuKDp~@$9_UVm&%~Y|nsKGYSi1a9xRYNLdE%^saSZLZhJ)
zzB{->5;KeBxbmgpcb1C6_Hq<!OD-u};q&I2LK6vam2eR8th$s{c#XcD0l5RAaTyyM
z!(dZri1~u<kmixiuR*w4$LX3W4>tWXFZYkmZYJu$0g$6i?mPFeYOi{Fou_Sc`dC{<
zD&a^DvlYj!5GFc4q<mr_EwA0k_n99k@^Rd(xcWKB`WQ2_L|B4=jKAmu$hRQ8cd!|R
z=R+7Q6ubuf>84;vigDYSiLq%%BmahF!<V!tE>zuQT>iq?GyKNG@+kkjcVvaXv04aI
zVn+j&S)i}x?pmi(&nMxBaEc_$+)8qzn=N>BebjTp!0eQ`n!*bw+jsrx=+o?X7~idS
zQ2(m}`pC%a`>e@6(<}qn-z2j3l~2>QOBqR_<CPtPLh%g*G*AnV`NXW9c{g})_u|3S
z{*jFUiR!)43<J%<V(aHno@0G1pRwo^UpRfeVOQL{m&SL)P^aOoeO!Q^0Tg%A`M>J$
z2vgZKjZ+?4(S?!u3w@=;9-ZzM9p%K-FKco`EXK4x^THg97&K0jT{~sB2N>Acg@S;M
zaq$KO8gm{`$iS7cwKJFXn$M7gO3Q`}h5QfrmGnTJh3^%q9)T~-NTx!ka#zOdE#3kJ
z0W+PFIJ!M2ygj=Y%PTY2tz1erB<!0^fn=*lsCtEhn#K#<daP{c_l7BLPn5TVwZPni
z`v&-Mpc!Dd;mlc-t>3F2<$>VX2lf1?P%VeV#1KiO3P3E$6SUd3<c0)di?2;hNs94e
z;cHA`w@$hoIX5ioQ1Rm}@vD*!pAsgvh|ey^mRxK{jGv?2w`<Dwmg}7Ll|q@&LPB$^
zR4Z9)i>#Oe(<ZxuOf^OI)PhH98_cK|!l`-i7}8LobJ3Nxjrdi3*TadBzN)7JRyy#W
zA?rS2-H{T+1(A*ChyebpBt8d#yBGGa30~fzy*~F{x2s_Ke*La>=G4uX$*+WWCBE#>
zR=S!n-%wclS!Z5oZ8scFoLj$vl&#gwDK-@|QqVop2QOE-Z7A8QOw?q8KM%1TcB$wz
zL#E8QE1eRM^+-At(Pcp^RnIr6gAa<8lam?zjNpDN-&>W1pQKz`4fnWyw&*;Cd34#*
z0{ZHAbxXJCR}su;>>d7R2dp_p9S2hOFB&~QrSWpW!&CX`Hfgy;^T(Z-_)V$n=(G3s
z^iMMEcV8B?wNw_H$Np6dw{T!KfPLBqVX8Bq;#81D0Du^zfuJme@I~Nb@)Pm7y#tZ{
zkwEk15=C8%eYt$B!)cM1#Kfkxsr=~l7NwApDs7(g43j4p%}DommvV`UR+Al+S<oSY
zDbmKT;Cy%~z7gOMnRqnxxE{uyl8P$NVdXx+#<jXPro<0lLmz;suWj#cpNoS#bc^!c
zRe=g(A`z^&nZCpBv}VrPR6k6x(Q!q0LdM?e5x@F|ck+?v?L%$-l_{1QQjKeO6kFiX
zzq<fB&Sh8*2uV>`eSX1I7|ayg5RV;G4flNKM!bbCDbrK2P+Vk2D_>_l8hdJ?%*`jM
z82;oB3n&#03=Js)P8-cw{;Cp`rJz^5`s-OBbnkx)kpFJA#Uux`F$@>rB4q&&_)e>Y
z{|Fullel>NE!JAtB{`-Q$E55ydhF{CE&UGB!7#RiHSs)2Jv{ozE3XKTZnus;!CCGh
zS1rCgM2S|~%NL!p@s%r%mL)iErFU>{g-Z&biFpX;^iyf3YT#YK19b|zSf+F5ypXw5
z!VN#fxJWrgz?^2HQGf%dh0de?U3MvIqq|2w#}f3)kEz8nDeD9ulT#&9<njqQ#^jeM
zuCV7wMkIu__|>xy->Q}iT|d;)+^_nh*0j^4-9tfqSFg0`Ha6Nns0GZFJhroUAx|p>
z*ecYQhK94EqOq|42ZF|Q$k&`z*B}yiCVgrrmF4ctgPGJ?*2x>mDgRb{TeC4V*<@jb
zc^Sj(oE0g#q3yQI-lL68y5V_?bt50GRO))!RScEUD#Y0m&f3OQd+9T5i{rar>!16E
z@C+OUu-7y9wiXhlhFxOb*Uy3tufrky0$RCctx30OarG>QUN7<7v4dRJZYUU@+SO3V
zZdQn5f7K+lCe*(NSM!rwaQuJ}j*NtW$#PGxA5684)tO+Vi3fu<z;~lnBU#bP_n5Hn
zl>58s^~Lk>n2J8?A$y<Bghq9gdu!pT3G=cY&2l4)c49&kJiQ?P!U{5#DA<SoQF9k)
z!2ohJQ0wU`v=~luf|Ty*kdSnjjZ}e|z3Z27-l^r?i(wBYQDjZQjg99PGO9TCtz1LV
z?!#8m>a&o*v%~S>U!t_P*rP})yuM)tUX!gMi*vT6-Td)5gBD%YC6+=~*eU*L=|`XG
zPpQd;V(DUF0PLZ>b=PKjiEmhWq9Yc#KSuy!e5?CpfJD(RU4~168;u8j)lG+~jT^HX
zpSm0`hMbU1(I6zHw!u2im0~mZx#t9QW>@dR!|L_x*HAZEg7E{{+X#qLBq9GA*0tEq
zb|!$;x_;aW#--C8sja-l+&GFsDv5`S1I2vhKGISng$y-e;k(*-gozbSHs(k3Fem0y
z{qEXsAAFD~(8JpsX`b#2*rkwB&>NE%Pgq)VBQL3DV*C7CAG)0&3gb&9lZy#qCyx0@
zXTFwUB0pRDo{2>HeBi)<NYuKB;E+MBayV&;l9JLZ5yy)Vkh%;L!en@6KBpIrf)yxv
zfUi!amubJI*-r8{({pgt6;GRNL_DZ@2^W+YOBc?fY|hebm*M_U4-(>$A8&VuxX{-y
z2i1JjyN8+VC2liMr+Polnx5Y*Js+sdMs{~QoA8ZBp*aGh)$G4PDk=dg&G);(Ow54=
z>xrou6>JOzZc|d(VaEsB2Dz0&PH<nb^E4|Njenms+Fj@#CQy799uf@+0+cLht9#4W
z>2bKn>q>~2-*}%s`CAHU%D~vx5MQwz3t-6w;3qCAy&T+9W2y;E%ABe6q=!Nji_-;#
z3%++o^7%&nGR9OQnUw88n2BDh8h$*&vanGg?jj^Nk7s=O`@JY8G(P*;noJmh+)-Co
z=bCo{MN_TJ=`xI`K4_Ihz!0uB=Q=vw$t1OM+iXL-g5wD74zo;1y7%)POZ}-bOkVWW
zkaM4)ieSX&eX&xKo0k_LL6RMk`m6U$Pw_t8`>U&DT6p#^I^F;6IsdZ;`?)uM3A93W
zATT2J4m=wkj#NGwpPHf|@OgF7K&G@Q)aC>u*_NfKoF;)Hr;lPqKmj_yr0$->LmH8s
zqpRhfA(o}=Axvy`GUt|ugd85T$zAZMi~g<^OnzJG#R;dw0~6n7r&qEO3iqd<;|Xp*
zJ-fmsi_iFPJtXMTe4<BG7^<lH8w>3pp*G_PGUh&~aLo8W>ccq{#Tz>O<l?MOyrpbE
zJuJdy0MZhlHNT`dA?9SH#Znw@g(ziISD>Pnj0n1+;e>lxz!kU0S8lRng6(8Zl^^cW
z&8t=fP-e9}w|7h*BftLu1DOCM(TFUJNPnMsAC@D?z2bR-DF5y4fW);el?}5wD#q;@
zUxxR-P<f!hhH%dY*F{UyD*7(v0;`Ydke`~4%D_f5SCL@F{bT3RN-te@h&6?+hwClY
z2$SmVqV4O-xtQOEjKzN49~@>?&pF9RMnLsJx9e1%aUUPwPzoCslSI#DAju-UX}H}Q
z`+)TetD#uf*`GnJzUsxWhfp985(-z*2sWTC80w!g(><-=@{LW&&Z5yCmA-Vw!A|XK
zQ%K+!)AxD}5w1(E&JQQVvMbp>g(QzSJvbZYyJ`Ih&qbLiRHe3v6-Sbl`Sruz*DiUM
z2BosMvEQxgVc^x(U}q1^8s2A{!A9x_1_opVK1CA|8mgrZyzwrp_(1QND(E+Vb|XK8
zq$@&exm#sdjJod}_TK(8qh)4gTkb6HZ&(FV{(%oQr#~@=B%{<z=vJ?s-s&MqjE`&&
zp0;fbpC3~HnoBhtV9zFlQg&<3ylmQy`UXDH#|y9)`97>Ag0Bi&>?IWx6nYC_7s<+W
zQV@OjcZj#X47)p#Ctio1qOwEX%6ph0phAB7vPRrjG^vZrH@AM7k)n_1y$dY@t|@nU
z?OIQK*_*qdM9VK~RB<qM@QRaRuWXet{ro^Y<)y_AnY*?^aSFRuj(7{3T?I-&HNLZr
z!<O*z_ZY=~*VsNVxgm|t(RC}<+di^3JGb_d?p2Z|neqU8ntF*Bw3lHgm(YB_^0p1K
zff)rmpThEQGLo79?4vAw>Sk(2dBAzc3Z;*^++3KAgG?bq-*SYsG5%<5KYKCl%yhW<
zu*CTBN!AE+YokaeHV2aR9xhFnEgf~`vh`Ba6Pzv6jdS8V#KMGw?lwm0dtWla|8Vi*
z#UkieVHTAFfhuHC2g0KPGr%_xGam1Q_ta^&JEO@K3U}3@(8x$BFd_yT%n-b!&yqNV
z4%X0x5dRhX&<m~ypDIQd(UouRvAKM7Wnk}_^Dh=x3B-Sv<c`<=4)??E@@1v>dy4V_
zHT!DUzKdl@PzF@`6ff6xmzgTNsgPUhrTPv`9%L-3LW}MmYcJ)q5ofPch3_i7*5_lN
zYn{X=N}_CTPXAlKN&owV0q`eL&{-h53$z;Y(9c4~MXfl^4=JC($uI%!m#s`<7%Ec$
zU(!8$$?WWz6P{!X`syJzwOmF=THQ(d?UuwV>7dEwLMxr|xxU;HsyiRE{|FEI9hMnh
zPFei<B8s4?u=oRycDj<HWiP*`K8$O&zj5Rqe_;4uJU^Q<Ve{023ltT5KuJjki)0Sh
z?RK*1ej>MC%FnGq2iRK+I#_o?Mhb_$6kd!e$J#gqX5o;od%{R)a?rUy)ZbU<Twe|I
z0{jvaI^5z*Kz1fIy*f2<VY%xg6?U3MVdB2-XDYTbm-_En=#Jr2eTFCQJMTT$Vn7iB
zStK$8ldoHajTk?WrV`nI0UaNZb&O)(huN_D=KHANN=Z2`SZST#TifNyzB$ks5-6Q2
zx!ky!bas)xreoAXkmu8#A1W5;5YI<<@f;j=x7)U_*gd81Ul-bP)MT1@CG8)qHT=5~
zYpTu!Ifkx1u`(q6?WFApG;H5x6ERY@{uZL`Z30}(v|~fU;!dt|kwp>b&`MwP(+Ll|
z@XvET)2`?-U}LINz3!_8aXDX&U!7R`nX`YW!sy-m|10wTHx=!3detx!wc`bx5~v9`
zL77BWP=j0utpo&y$d^{{XI{cyawq2I@^jDhlrI_63Wg#-k&c;Xp=p}8zF()hrQJb=
ziLTi4=qg5PbIRQX>l8?+j5E_5{n*?Y{s)wg0_-o>YiBvTH!k<OPmVDw^0~C=Ogmy&
zLzJNDiy*&xeV#d3+8ek}q4Dvpzn$U;`3g)hIA_?|*;^<-cf;3ljj!IZa1}`P9`P(#
zex~p;iihki6FNPek<1|-6{ktiFSAjAk$)0z>;0_n8taLQo#dMJ1B~TT{j&1PP{H`|
z7+1!Db{rGt+AHVSOq%(Nthv5&atsfN5<`DS5%f$^tG=(AMMr-_E0mRO2;KbAX<V)-
zAoGf5W$CVtzr8U$s>e88f2)~b2yaWf!-4_;5kQJrU{y+YhDLpHb&unmY>}B=-A2f<
z((KdaT)w*sYa@3+s*IJQs-lo(FR<WzBF^DKmtt9m&dHJ$BF`)LZDWwQF<`;|qVoOw
zM68~8r)y8eY1y$p3}dOZcvQzy7B+KxHx2us_Y)i!dN6h$%(QczmcnoOOAA~tvty~v
zI>Y?j+d-H?+)V_$imZg6P`@7C+^4#1LA2?}(6|D6-Zbo>2P6BlJNe<MOhgrjOiqHi
z@nVjqdK<p4!l9bQHZrrak-$8WQ!QQMR##G{2#_$mDZ#ia<{OA&F!z`-)z^A$^B_*0
z*7cBhNneAyr<CwK{kW(|uubuz3m4m~+MDrW*VI$_UHC^CR=CjkZ{W~{1Jz)Abpq%j
zAF2zWB?<S@LU09$K@illiOFb-$*1g@{<dl1=G{)J71oE>sIDp<)7GZRgF9OZRkl-C
zwHqd(JDc8^byG-vt>Q_z2I*rW;?i;6kK~n$Jf*93<zAVh)s^D+Zc2^dR<V%o#~Si+
zO-%3|JgZZzxVC~Bt}S6=_V}xI6wt7_X0UkbJlo9j<5K8LYs%$6To#+7RoC3EKeB-@
zHL|qSGI}7ETK_J6Herph4W}I*)Ra>)p3N9RewSGNnxFq-uMfb8N!GZDpAC!oG%OYz
zGWdM|JB8+U4>9itj;(>zpfX=WO}Y1T@glm=IPZ5%bbb{S<iDv*vDjL#EmJf3;9z~E
zVLnhvpxhR><O<X0Eb@grv{thF<#_XXjx)4SrX>%@n~$s$E<Kmm!#DZa<sLnE;=}DE
zTyQx0xt9E;`C#H?>LKL&8c$i2USlF3&BtgzlPwERv#GB-JR(({;{A-&UFszhy6;@6
zKD*^hoU5TB2ZM^~ebse%!;0sEc~a<auw!}Kn+yLa7bYpQNR*b5e_L*9H**}CKz2U9
zPzXvRuz7&7q-hj#A=L)5^aGA|SgW4%VM#wo6t^-N9ZJpjkO&wdqT}@qzXaU+(gXc8
zOP0Nn7t<e~?Bg>tTVrnSZ?`RQC0cQ;J23AowZxWZhBy4<d+awiI>kpiz!DbrRova3
zB9@_o?dN;gQ9o2bz7>Qa6-i+~Av5+l@6+Q6;_}7%5U9Y4Cika>ns=icU!CwYe*w^w
zto!Piwm*u7;(|^mTO+<?7M;?F)=bWR<FH;|^CZ6&gQ0q>^ov&Glap;94A<$?)bpnn
zu>LcL!kkzty|&X#3j7IJKJi)LuBKzVNp&%vz{&%qW3*i!3^CLt(1<E6{}7-T;_o?p
za-Y1dqu<_yx+XFCoQ)>Io`CCNf9S#B)ZVPMr#*8~(?ycphbl)U?flgQ!&%4^2DAC7
z`RDYIo2-(>LT_EedV54AsJ`SPa%t!OZpYOQrt19Yo%{jde+1c&P`*8R3eIz!N+@|`
zfTaqv7T&D<+`&$o@*ym~?wd6k%Y~ATU5Y+_3Vxq<b+m85_~6a;vkqrYxgCgo*y<+A
zW=hn_?!)*E$DUkZVfKuVC(@y;Ic0i*{su<j37+#c{m5`7&*`oc=5qw!r=+r$dSf?B
znTI=RKy;QesPA6Ps4HFh4i5`o^1J`&bGU?pptt_k@+jm;U;Juu9M-#3@Nt%peRz0r
zFM(w|D=3b4a=|@FuB@0ZW{_Z(#s(R5y+Lz26o{9uGw*E<7-`s1Z0VU&J76c@+up`%
z*M|PTf2j(`EYXn5UDSz$<6!QDK<ed7AIOH`Az-VgA+X@ERYAEtFx6HN|IrIEfRs7h
zJFiR(B5!lNcs#UOxpgzqmrXx|HGWJ}d7jB9(bz5Pt@BjXVX~HsDV#@Dclc=BzL{9`
ztg|R?d^mcN;AZOdhJc$zkFBvJ{Dwfu=ue1Zpofu<{jL#oH=OA~Pk3ysJkw(j<-T7M
z!Cg*4)bBy|lmB^PfK3lf*bt?KzJ&xNpby!u0Dy$VJF$oJVzD305v;)Sq%ys^QqKV9
zU<O<WT7%4oasZhHvAM&#VKF#PP;xN>!D6mEmVi3UbKW#Zfs!TxuLww;^C&_pE@Yk-
zzUqSfg_Hx!Ni}6REV7>4)9l)ytC-q_Qek-F{ji6bEkV<9A{;S=zqxh<mX)ZP_rqn_
z2nVj}Z{sd3tpEwe2cQa(bN0|KtgJS1uYuncS!M!5Fo)T+RAecT`2LKd<9tp%0=aAz
zSt9~y+!=6#AZBAr_$?ukk@ax6VIkXSVLo-1JfL<G2Trt*y9#SVu>y04ZZ*uZELIIL
z<y&{JNZ6i<9n-q^dhyD>|24(K)t9^C(N=6e@myK8Pd!_+WtFbaf@){l{ei6nw$@04
zbNiUj^{=pp6uGB(03i+ugQh_{xOzd@41)&fHY`R1!4w+w%iy1f+=35G%yJ(zkVC>j
zlJ&#|dj{lD2TjIzNGfobRDjlzqg&-kEn<pJk0Rk;g}}u=Cp;tvmll96cnu8I@JZMg
zZ(>A&bSMZ+CFER1WtDBvf&md4&~LDr0~F>dX$^GxTZPju7lz#zN$$z-`cswLQ*yg3
zT|oYON!%Teg#^}ASWw7_+1-|AW!`=@7#T<hqicL)uylcv8K%X}%KAn=njiJ3?_&Un
zghy^=X^VoX@a|&4sAbW>1neL|mcBv5|4PhN2p*9`ORgMhx!$FvBH-q(f;c|GRbVMV
z#tdyBs*IL7wtLF)6p7z!um{lz+4L-#^#f4{5U7ra`<vVK;s;g0ifl5=QpuvXDBnI0
z)>iD14|y$&u!m$|KofDb7n%>AHfBe6-Q6f+XLaBW!U-y`UQAq==jv<ml+w}b9k-tr
zTqHnoeRcQFgd^HZ#jVM|HGX2td;v>ZH1nh&h51-WN~pkLtav+PYX3EcEcmF4l6A>h
zUQmDaVGwI9?r<Zm#5c5=@XHFC8mm*ZTGZI=*!j?bGIH%Uwkg(Q<;1g@3h_j1D)9s)
z)3V{YJio0Y|JJH-!#gCj$f2R*(tOW_ot`pb-r4sJAGb$mP@U#|FPqA@PNmtJGW0&9
z(ghC+c_T#Uk-HCOxyi7bXm`FNTki%yG_bG2{w>HYa1@HNv84@6z?p|^VpKDXtpo0)
z99YgboEe~{X9O{yVQ&P_1^kKid)sKG#NEX&{on_G6{;XK<56hbmWXrNq!R_AfAPTX
zrK_+o08VvE^G%50w8QSH>j}q4kW0gSw$S2Q8Gp0t!RF?LN4t9yG@TaxF*^$is5ANw
zBuj%oj<r72Z2au5NG2y<!5v?*$JH7u60+^?^!kb7!1dTkN^y&F_7pq$z@@mV;a2Kq
zao+)%vVvxsy-qWioo~aA2VqUy(}k_y4%>8IcBgUbly01j7umXK`gm&P(dQHqxTi+7
znEih2F{bEsyJo+n*s;SJ@pjYd$=zdDnC=&JDzl*CZ#j$^)PUsWK{^F;VH&i4c><5l
zaMRW=UyzO6S8cR1VDxb0WpuPGgfW}eGw!64%we(&Av<D_RD(!RptuA0<KdT=XKkjx
zJpq9iD%QqD{oRd)u!sokwqS#qnYNqfR5CRkE6E5$?#8;<k1v40WZYk{aCUH``O0uI
zWJ5aBmFHgWD89bv1K`iB`A_G}nA4on!tarKjM@577ErqH%YRh-KK<xLUFgt*wf4&r
z)uXxD#tR=>x5jj~C1h$`#2kf&T?#_LN9y*io|u_=rA@R|NvSlneM~Dk9usZL!118&
zJzqeWuiDy%X1Rkt|AOD9`0P}X-RIPa>I}yU_XLhTlc7{TowCiD+v1YPY3$Gh-jET<
zHRf)PzLE;b7od#>Axlo+14eSRz{SC<1i@7BaBr=6)b|vkj-iSsqfBAV@^LuWr=-Mp
z$lxj&NqokY2%(wM!-L%zcmg0(WEi$1tHWveAAK=Sz3F$J>coj}z{A-Ru|lUak{FCH
z0MhhcL3ejt#o>1RAr^wFMcn_pnt7(~fF^~$a3qISCnU_n?u2A(qIQW|U7KotG~kVT
zsbe#8%$j!yTnjR|h6`-Fc5cwZO5f7Z*h9BR9zraa9?sb>nNA4J#(dj)vuVqt)4b*V
zuuLIAa$l&^0^>R1?jAHw%hoCQ{}lHf&|J6u|7MD!L>flJNQ&GVD3r=9qNHI~(vnTt
z4N@|a(GVFCWsmHUP=rv)CduC0*O&k6y6Ya#^M8K7-~WHk^PJy(PUqa6Bj3;W^SM6P
z^?twBdz~j1%a50~a#B4d3&ZHuIs79wovq{wr%GYo(IXi8$?Pi>m-l#frCmOSc4if7
zOB&G8*^_$Hp%us~QF5hZeY-1?jz6Vww%CzTmcGylAzmJw7XgPt???3XU~1BL_{Ls*
zY(|0(DmMWdHK`5`ET~Ombs3gIBmfxMwOdZznlq4{pS4umJ^VJQ+j}X`g$6{=Y_O;E
zjkuL;R2RtMnCLZTX`ei?YeP_VW$&RXuHLUB)7muq-*DDi?H+h5*b!H2^7+=dC9ABw
z<Vfsx7uq!E)WkP+e7$KGODE!Y3?$FDZPZD)p(Oc1cz$|c?wr}O`(_X0&pDJTbFoFL
z)hIYn+rl>F4z9I48yJzF-j`H{+!(Wid=jX=VOH7_=`E~$Cjw*)EL~GBj=}Z=Qc$c)
z#AWtuLRSj!&Y_HD88qaUfsG<Y5Oq0f${P*^vxr!JEyd}1nfv$n*q+sBb^4rqy(4<O
z$E;LKj=x=z{v99XJFRI$cCB!VbTU)ucm8_akKPJVDTYOI#ymDl%A&H>llu<V2R%Ks
zQTR>(eP&IMoL$0Y3#$wM-<CX)it89wbXf5&bx^F;FXU;twnSKXdam8za<%EYItOYM
zyNd0AY#3#+v?5^!x?gag|84?@A`l28q<&CzTZT{xbmC9^$6Vw6qWM5(OHC+OUUZP1
zE%;c@+`1Zt#(l5Xh(%By^3f)k&vhPLW3GNeGDWUzUiRihA;q$|aK0!leupomrX`tL
z=6PFpU)9~zY{#O(sb(>;&`Q2|qlTXGgLwmcndfts&fV2Et{#}po&8=TgwuXDw%7l5
zwvtS~_Mnq|17C0jx%}GP$HT(gd-yu-beRkYz7(O78sF_%auQVss6qcZN#BT=&X=n~
zxVL_N+&KD}*+fD?&SAfIs?86&;PUhodCKF)Yp>oveO=kmSD)fv>qedN8IT(rlwfz>
zwfNNR*qY5wGoDGkMZLL(z~*=rK7aPES^2YMjB!zTTEDbeH>r|w+`8)zu4&A)vx9m+
zQ;1hT)baBgK5^<}Ca;+}COL}8W1|qAP{+wHJp9iEN3j(pUMiaihYbJ2FYRS_OXT<2
zFwH^ddV##yPn5tvK8IuNzga}NXxaauaTDrZc|6Btuw#7JH|^W}(b>L3&1K0u_gvt2
zN>%cWiTZwWdwMHX&Rn@5f@nlEz)=6B^+`2IteI0NEB4yiN&f{AsYtKZH@V$w{O059
ziL|HG1&uq_?C8IzkBa;11;!xikLF(OJT^Ip<#WRa8i@{O--$C$AHIBELs}Fim24Kt
zhyN3a&l4T*(KccmY9{1h|7_37s}$9ZU+L5*ZrVi;#~k*JiH{0+6SCsiW&J$*fgq*^
zm9~;@aWPfjqvhKM>b>xujJBBupUZFGS(3#q;Ev9XWG_RT7Ph&I4kJkfkx2aJMO@45
zkDb3r{NsVb-3w=}mA7><6U60sB4_aYZo=X3=ySQv#gkr1&tgy(NAyK8!Se5w$L6S?
zKV(wH-(;zL)AeFk@@LILf)KHBtlDw;xT^^y7n`_j${$JGCb4UT)DPI$z0gGLx^rB;
z?Z<JG2ikkyjvMj|N9yS^w%yF09AGW{^f@tF(f6o~b?%SdJDie&tdl3iKOL8L*(CEX
z3I0?B^~B{&oD6oJyM`Uet1FS9V=6J#buF^iPU|v#ZOb30e$!D-n3m?V-+s#Kd&K<C
z`DavSTluF7CCf!c@BU;?E>B69xW!v`NDkNMRVNG{xTQHE=e=7q>4|>xJi`XQtaWbw
zj3E@OUq5!4q0RbANVWT^p2;n>$Kp*arS)tC;~kt22F0l8&@cF&@ap@MtAXYRKfTbn
z85UMJFM9lWVcai8z#h~V*Sl_vzize@LE*c(Z)R|Q&XiDKDDvC2Vj>DTnzbC1sO#@<
zz26iZtl@iFIQtUQEqSH^4(4Ue88SN<AyI#NPDVX)Vt7e<YYr2wl8Un6czXTp*@ETY
z^{$14=UDC0lI|=0@PX)1V7GjV^jboZgnP@DB5FSxWep}8o<&_w8Vz#nO2w3v{=!LK
zjC}1LRvBw~x=Y4H*J#9Ab^>ImIqzn%O?i^k*8;S4haOCwZ}_tE*b0Y%%EY!_?lrj;
z{_Q!|L;8H&>FOJ$TmwtyZw$&zczos1I+U(XZYsHH3QP4mt*1SR($(+Mskt7C!}LJ&
zqqT?B`juMdZMVcP&V9tQ=Jngmx3_%%CW)&ao%kg(5DGG*Lx*`5HlW3;e!E3R24Z{w
z1}R+ad}@0fQ)!_?Nik^%K*awj-~2Ei8C*Cls$WfeOWy26@!U;O_qa}LWy*0aKu_&s
zkss3r=GZtMxOgpDE3zd3%R7ctPnYLo68cO#i?=MjlR$kb&-Jo)uU7Y;+JguE4X=q_
z%n2#461D@4Ny7Jti&@`kT0rF3D+6MbLSswD9|T?d@yI+*r@8>(uTJwiyXgi~1$)t!
z##MIPsROZKOST9z%!{pg{KZSJMIzL^GH;9bO}Vk%QwJ5HRP#@j;2J_rJ1n|yQJ9MQ
znZ`iq9#@FzeL%K)yYAhHa1Q2z)JGqqgtOD>esC!?Bt6M@H3<)202fu&h~(5M*4Z;!
zV|^KGY~>%EG*c5<S<URFnjWr%{#2L0(XbRFOED;R%bL1zU0k)h$zETtlas|&a>|;Y
zHFt74Rg2C*F6XzAU9_*XqC${e>f<K4UzA5&%<SV|P(pR+ANu8gqnus17}XHLwGqGu
zzU<gn*$dVD*fNS?RY6_OMtWMVyr~1OP9#AQ(QgqLREiiq7MCZcxsS*QOH3#58_&Yr
z#yk7h`%m8D7v94<F0;B7MM@}asXEToan6|>3~~HjhKpz9Fx?SI6J%K-h3v49y*C$-
zv99QXG5ezJo<v0}W&lLOG5_X`{1q&xQb%834l{CO6&3hv>nZE$@gjlG0B=!8TFy+*
z%f+j=xuY2iuGI%S*y0$7<}2asdtVDGuhWzvW*=7|v*_)h^SnI`X~a-cYscx^*zCy2
z$ndB9eyJTYc3|BRzI2=Xb4W8WRzNqd1;+6A<>ei0&QtWTEi<(~57hexy22293z^7?
zZo-30-{C$HP31b;lY~0}OJ9+ih9b?gZqz^GnK-oO!d}GT4J~JB9M_5!nlF!SLFWdN
zJra-t4PqOiekg6iXoNHZkf95J?{L8$bcvgG7b7STI)RG<vMkEXk@Pu=*uVY}o!9|T
z1+X8eiKrwKL|@UMTD}S97Pjbp7#!d-GB^tA49JYuM9qVUe6n<ey@1dln@6E;9QHNH
zfRDsg-e6?;nqWweW`1L>Q-xF~lygPMRLZ~uo20CStSfr!rh~p#W=wY8&G>o<JYaeT
zt{iYebfbywU~@S(*hj!`kT<Yr+vZ;2OGtNHi(<*hu@*GRDbt)HXx?dCUJG=eN6X{O
z@w@FAC<g{r`ocm!___rm;Pipa-iKQa<y}p1w~dkePoh6b?a%(wKcc7OaC10@+P=dN
z(tr&QGc0uLNF%c_Sj4h@0A~dsQIleHfdsD^6Gm`7B}kJ{qye}@ngcR37Kd(JN+-Ya
z=Q~8XW1e6v^YHIID9!%$%i_|%G2<dcF?d6xO%~>6!jDDk=gH!HXc#;btCNxR=EYX!
z>N%cL`!U2GmICykeOF%o95Y@z5dY8+2!KPubM*nNt~RrWzP{`<WJCv`C7N{XiWy_o
zs;GKZ>r5P50wTg6un*F~!KjC>{&Gt$k9+X4K6vuTKn|Kl=Xol*H)LGNxeqHvv-*A`
zG_54}kJ`Ms?Y~coST3Z-&%r!AUaN1}?zt0NcNr#Sewzs57v7jl<!yqxoCFl*IZ?^1
zTp7DD1AG;u!74JV1ul2;%kz*{O4b}7=3XF7Qv)4@pjyy7+{+4p`Ni0-rom5RhQ%34
zN?-D$?Uz>IsTu@@#PSQo9gcV$;xP*odN`U+GUfsx;@hmC!Y}RqU3tlso~Ar|J9}TP
zHFx&%48Qg?#A)UN?r8zml(+JhKz%1EVtZFsE?D!if9};Y^AIo3m@!_eF4j*YUQeSM
z?&XgtmgK0{`$hR@mo2=v?nrUftIqeZB*l@^Sd-JT&M1(lhGLH}S?_MDvZl4otCsLQ
z5$v%`_XhG89T{@^Mz}6u@u^1t%S7@2gZ7C(`a?x^PGDX=Z=N*2GG}aa+T_T9*=&!G
zm4PE)dVs37Y^4C>gVMQ^tX;f=Nq%c#bjc5O-@l&35X{ax3}lb0L9lUkAft07-eb}x
zo5#U4v2hXT_Eyuf$+V}tmf*zld>X2oGxb?e`E!$R`A`YtP@7whiE$1q*X!FFJZq&m
z^6L5f8+?r;hYR9)y=_;i>_KghQ7_lA#r%fxa!`LT>;dY9Lm!jSssMdTYHw7I8F;fS
z{S50tN|J*;!#jPpz&sZ9G1rOlc1>t}FL~@JR5#9#s~+ipVp|yQ(drRvX1wCo;%t85
zrR=9yw_}@y)O`PmkBmM+K?m*Z?CM^`;eE5fW354aE}5~8L6f}k76QtjKaQnx5)yEa
zxp3p8@<CY4s0}%MiZ|n^<tJx5FTQI@2=RnMyor&T-jysQ<vc@gMU7`!C?K@|R_LZ@
zrQUrfkzHCADAtK6`&YlKjtE`ZH}n1dgKiXPo68>XFLHS=vR0Ubr!7?s;^gLqBCqA2
zWQuP&<QtPJ@Wiknl73Q|x!`+8)rC&q7`IB^kkY;^p~Ub6_hQ|Ks`>j>{I#zN8e6Da
zh{y`e*`<G0#&(FGiWk8-8xiqV_0F!m1bP=74MiEg2BX%;e9|F{c`!f27`@~PPl~?x
zy23i&d6mVRVt9Y*h)VPdow%xc-0m>-E%(a5G%DL!;Pfa_IOee#-m|sY6~CCoj(TRf
zx~zpg#omG9lauqRU&`fn^hq=PU)6C~VXm&fx-F*6EZ&2(j}xcB8h$xtD!|Pe$dU!`
zEjxCQ((Sc6g(wA1>&Ea$ulDF`zIL9fVxw&VwUsFg-w0(ibo>E_P}{=vxL{Tdf4(~Z
zM~_JG8yP)_^XOCTsX#?OM?b($no(*z(l&hy^AWB?^x$6!^rGnfBeOTI{gH97)SrBz
z|M<2|hrFHHSife}uyvMx|9u;Y<8JRPoR9rFZ?~0Z`vZfbvAiQYw;$6&V~~8K*m34-
zL(1|BJ9?D~iE{3+mJsKF2k!|h==YDCNJd&(=ft@~1G{awOrkW-t;uZK7Q{LKa8(rZ
za@GG2{ZQSf!eg-~X`u-_6qoU1b%o4i<JEvI$}#8MqHu})b~8ne3u*T?7<?2^7XOkU
z2ue$D`gDtF)w;D(3|uL9tc`qGzkk=5FX(P}R)E;IsCP%=<&j+<=4;A`UNH<zIt{9k
zGe16zEE@PFxuyMz;2tn2+s=P<L1Wx9H?b411@CPYyb@Yjc4pcuW+!#lCfVN7X0IxX
z;$f=|Vb7c4kCx8LupDDpH_AMjE4FXULUZ9jKdlfiR|%bf)=)iTo|o++6$8B9j@stt
z;vQUL=g7G2R|wR>*{X5!q{@X0!cjpM%min1@bKf;+GYH7VSjG{i^$qZk*}OyZU$Uw
zuE{6mRs8jZkNDn*wqf3FAw7HPkX7mQ-Ppq-ix#B0@I6;-c`2Y=aNozU_E-6PDkvA|
z4}@epD^UD1@T|^{&pa^CudJo$c~&ysdQ9Dy<MN+g3<Fo?pZXRpRkas{>A_z9A8>Ih
z3WJ+K2s8TEl~NXGUHefxoknRy1Mi#+L1eN2<jUs}Y#!&_R)qCp0WjtxJZLXs4+%Ca
zylE4i!MC?}P!QaPss15|9r}+jv*0&M!umx^`Xp2}@qV2z4R(E^UK{>aM1B-J-LQxL
zY?yo=DI^JCi}^<ogfZp=u_mLRuKsvrTsoucG~Ka({rysVdE9`{Iz~?Vw8xPNL=?0D
zZ7C+Bl7|z)!|~7~d_VxFJ6R^+rUDu!U_tv04m=`O36iqBiYPBoSB40W?3ihSZjVe_
z-#wI1e~(Wt7}W}~!4t+u-FfB+uYI4m4N5zS%H4%X;v(RCsh==SkX=tS>Pb{HrZhen
zxQpL9JM?jxlpl3^s@=O2<wz&UJ|h${V2~noNE+}%6v(61s$#>KhR5q7ex}$Ap=18N
zfuKvTT)EOAyABZB#kk*c<NJoA<fwQ0`uZ#!^BR7bKRaEXpepV5FREwE(~5*|pJp+)
zqz|TpSiDC4yaoi<a}?gtMkb({fDz*m0U9%{4ACbLHVfr8<fWxeC4_}RU6c-}ylfyI
zixELLYZp|W+-v=ent_rKn-&*|;gAnKoIwh|0MzD**GA8wxTiV)<<$w-l9gKxXrOV3
zeQQjvUB;_plG6nrPnwu|4AS{xs&B%}wCT&@tcWw`|A~X!Gj<4{JwrpXH1JRSvrHtp
zMQt-s=#dLQQ^HF66|jDj_I#=Vo7Z7o0`w-aKy)9m3p0nCL=>7oqh9ldl%0G{4C^}_
zM@1vG4$9qvn@pDdskH->;*IJ66i;^^chbM!b$$+HY^F}0V`{%g$@Q3nZo1XtLwHsX
z9z58Gc*O4J9EvOjvE)7=vS<z;J-Q#yuFOOoBZ_TNp`)xXHv4kIc$g5$V9Tk^iU7<}
zOaEY!o1zVIoTw9bc8bwsHF93?HOYtt+%C^@!GkXnOn`Q6)=Brld_W(lMUS0M#nP32
zSUQ!fi3kKR4+@y5bApmvA8{4_Y_IDwmaQe8YqaBJ0GuGioUY0`6?cMl5Awv(Z*H!A
z4WY>^{k&i>KY`SGivmV29|%rSXCtB*W*^oMp!JpbHEsA1)`hTo4)-}tm_J$b5n?ZL
zFYP{SQD|Q!L}wy#={K?lGNJuFc{JS{t&>KUjY&^!d?lXq1m*ZZ6t2=g9&7Q{@x&WQ
zk2EJ=9m*vOa$l28oOiPxHBz}_ORMRFU<AaC+0bC#t{P%Sx*@p2QhJWGeBw0tRk*|Z
zREC^8b#Qk;<G0b&>R2wpM*G9>h+5lqCSKy_@es{)$Cz89QHAsE0)ZP|XoM5D6u$TO
zlo~bquzkL}YzMescgD3&Ps{~@1P8KI4knt0Ea3}vNk(;Z4k(4I5JCr6W!~I)JZ(D0
z&^?qiUmtqd9Wvd=V9oENH9^b<`)jm7;Kz8%C;hQ21U|L4M>~5DeH3=HMENyWxnF!`
zIS@15U5^o%GU#bYz&^Y#>e*#dmu2+s%<ZByPJLNsr8p`r2j>w9TF0{EYY1aCK*xp{
zJ6FP0ob!%;tKmP<Stgbjgx4**G2v>r*_6}^l=`H|DJibXtr(ulrR(sful<>gvaF_r
zE$JUCe66H1(X7osywOK0pF4N%1D|$*?W@U7At=KiHizI_u&VFQjd#JC)|vDBX-@m!
zH~TBRxrJrWe;SQ=%Eixj!FEghloBj*mB-x?Xzmcs-!WKkpTW<aCmnIdP`kUitU-l<
z;sBtUy-ax;`iH)%Z6duP>j8dtLkMT!kgx>QMlxG)9F-srjP_k=>0L`#=CIVFp?C6E
z&y+W(SvErjS?E6D!*N&Nq`IwMi`iSul`C-2WY_5SDMJzXMOS}v*Eb<A;qD@Vp}?Y{
zky6zCxvZV3*CF<?X8-nNE>z0=<K(-{aiLG9EjN5)iyUS;wNDIniJ&ae(vhDP+xp+;
zB*9yLuHR<mw5UV!@?4pRm#Au2ha`ZQ=e@t-b3KrKkMc^V`)qu##9DGC7K_E+s$0``
zCwGA!F6fSd;-cAE$Kwf$*0)@2(PMU|aQ`s5l{dCXq4jf^^G>zA!A<8Hhn8M47F|nd
z>Py!gvdc8-l-w`eBRB!f)kY8!!e5S-#3($IgxXg+&skz;+yh(oR9&Uhig*i7n!Ndx
z(}2B?Xcz9f^t-@YPw#|y7t90>iJWuU8zTt=)4fn;RLUVU+TmlWBE#{NRl%a}<{JL|
zy#XOx=daJVgY#J`yd>HFlK7Jq@po-cz)>LkM?+x@0EIIRoqo*bzD$s`FSK5+zy{v-
zKwY*CLAYMl(ai4g9^rexTo33}VJ`3xIjwcy%1ZAzE7R&*D{1v~IeA#caF)cp+(!2x
zkS|@G0s5sodCg`j{g1g@a%57UY&+YPHIJAm=X=+en?AqtGICh-5M-BZmvxc_GYvFr
zB0Frm{_=Bw&9oLFJI+h(c)_v3YewiocD*VAytYm_y42X2)5^(^i3VPXyOsh48m}qN
zK65YWD{0vjTXQN|q90kx!+h?A3>V$GwEkyJHh%J>ACA-w7e$G0RFSrs<v#i`U0p<}
zF~mE^Z^5DW4t=c~p5)dsE;*SN9${9#mvW5p&qn0pw%uNbHQ7xnaHe?_Yh;^C$P8u%
z(RzEgeU>PB8(sZ&>woWa=;OJ)>Q5IRtQv{%x1nG8VCpow#%`=@FFH|(gxs~?t5~(|
z<8EdbmAT3%+`Qg!{r!EE6Jp<Fw_vY(en5ro%toghd=350tCy(C*<aptN;^I(<tmru
zfTLHjZnf@fRVJ+tMVr5Zk<_qZTlan;1A&derXug}Hq<es|0N7D^tEJv#V|=W$<83l
zjZoL%NWVQMiP8&IU6gM~d17sQ3%w6=6<4*$)1B?T0?A^yhwY#`yV;c}!4IR>+H~nX
zG7qzc^N(11$1h3_sMzqlbe>_oe`n`2^fM>-ew%aXJFwnNgLkt?{p4farMkIchjgdR
z`b%#~g?`DLJuuswy{j~}AA*@LTKbA1DXjm{z&OW}Dh~s0g3R75y2mZ$i`Z3(v+tJ9
zOb)8!tWs7{3B$LGh=?$&I>1GXIj!Y5-79?sRKMxuuxm7Z>JqkR8_QU_z{!vIC17t$
zjVyX5T^hM7w*jjFcj00#DC(c&v)XIbaG?K&`Hv|gzx|<J8L8$`%wKy@0PjmeTf5Qa
zQ_1U^pGV()IkF*(20%eE0M@cpnX!-i$iN5}g4kjZ$`CnSQRNaLRqou(C14oeG~(!5
z-3}g4TJ?idVPCuqpP+JRm!0lTTek|&Zzn>nx-8UOG*)d*Tsy;365M*JvLon+*#*kf
zXTawX`)t)jroKPvTJ?I;`ZE51Wxb%&IFD+`?%l4dm-JW+tjW81m|ee9Z2e>@<);|^
zA5)o5G=$908WSM!N@lkp#IBFFU0?^GeD9Q}%H>qe*0vhMQm!hAy4XhM_v?sdqng!D
z@_^2wADKs<U0OXmXz?&--Rk<_Piv*+hx?9IQHg6oOMfH7Yg^ag5=HNR!W-<`dDrWU
zT=Idf3f8ns?+jI$hO~vZ$SxmL@iSomt?yUr5*E9EDk^-h?Ck6*&gc2jkGPl6;ejk!
zAkWaXZ{O$YRpsH%_m!+tPWw`l@l@oQU0W$z!kz5{Qbw}wrfC0kP3+f+P!m79@!8r%
zuB_RDu#5Pz-(DAZ^nTegKquJo{sT!kbesQ+W{NaYSO#!;_ApbOrpxrJQLsRcR)Q0q
zF5h{s)43V}1f=A^N~B5uMJ7z$!*#~Q7fPjN!QDi3?ST0mU7d(d4$3rXB2^?r5Dnf$
zRx-91Zo11~6Rv|hAkA0%J&E+GZyq3Co+l*upbkp32#JXCJd-NtjC@bhgJBIO0P0Pe
zz|Gdg(QVOUn%iJATE4R;LV0;GxQZlMr>Ofk3KB$G<FZFoz?6{5cbKTO`E@`1Lq_;K
znrwW8&eb+oO1AgQxXingEzThb_p%twnWP(fx50Y|&U7>UWdu<Nt6UH%3VDslaGerp
zY17*lmm!CfMw?JbkP#IXW^^~AwWg?_p)ek~EjN1|25|Zz(m>(YY`yqtBawdKii=2k
z8@|DXmRuPmYOEkQG6a6Hr(PHLO>g?@RW#@DH>ssxe<h9cOic(HInmn5ER!?E_u6tP
z10uC0gWEK>uC&ow4%rb}&+SIFEG#V1IKDy;FLXgCGB}CaIE|6W&|W!XU!*~k^&HY~
z8WN}qRPdO>H2e<tZ+dc1^_x1E0pFgqr=V&1h*lP$bvbpiMc>dKNx@OUc4Sj!4BK!H
zPX?a(P&8YJ81#l*CxAjH$iu=Uo%RHY&v=SV20yK#fmtTFBdHfZhoRpxYM9_|=>I2%
zqr~M;hU3U~%WafVTrC+N3<xFs*)y77eVJR*pg83c#GWTyPtK}sV7zIly<HsXx7ck!
z%Rm@~=BhB$oA}zwx7YgV@<CojdYP!FHmhksfCxXS-l(jpm6&&*9>6}DkQy`{)aEqQ
zdIv*fpOObo<_!VI&uN^%0w+BK>E&rEq<c3L?HWh|{455$dxD<9!){Mm$#VqXx8WC`
z5=QC5C6qSVz>0-&TK91S4<A3iaDSmICV`FOr15?9=)@OWe5-6&+R^wf9lEOS-+q3g
z(@avQZKRM*j%0~|w92iYD00+cUQih4VviM$BR>><3=){B?t`82&QuYUN#u}v)sLy?
z-w35e!vALE1(ajXw(v*|;UuuERu<wJ+JX6L&p>AEv9eOt)STWI1uh#c@TSHAd{_kf
z9HVeUl(!`ykGv*?m2O*IuKi~Lq+?^cIe9I110e~rC>5pwWIPOUti+W@$vH?m=niXY
zzTwo?DcIn>o4l>hWrVc!OHMn_O;9Y*ykov65l8;M6Ar#Sq?xeFhOseNKl$&CB5$=L
z%;^uX4g*+Hao#T4b92EG(ml~20djY1d^<?P8e2tHWd5WyS_RNw!;4K`7%VC2h&c>g
zYr_z5k*onFS{@O+infrA{pL7hMT0jK^Er(((3(vM?A#fM2%Y-?EF`%jBO(~wc^mrc
zDluzHK{RJfGt;VD)8>@-q}65~4{F9=ed+@g>?DjExz5H<tyd5&Y%Rt)$u>-s-~qY$
zUFCW<rKGAVvXk=+idd2iL{xjb2D2Z45GBLo%%P{X#9S?nqetI@KLd5dLf&8k@8i}$
zHbVH#wKHuv+I_Cdpn#p|#?vzfa5dK7V4Jsr3Hq>PizDOfqy>gyqdoIW;75X*Z_hpi
z{W&{Rn<x7?>3QKu|Cubj>V(+GhO9{X*{X0R$Pta8Dn|q8MtWw*fiZ&nz5d(?7v8aA
z(4zaG0zjaHAh@XSWDZMW3GW$5HfJ%$9Wau35YPcKY>kP}VQWR@vAwpEl+j;WMtDj)
z0BS^HKlq(T#_biyq9EEkW|M!xZ_PYaV0H)TB(`=KeQ6bBjrahKD|hw6x`qea2kJU`
z=S==3%XHOMm>1h@z)eTi9~~V4GZtgeyccr=38N>pFu<yu7D@}iXkZdMfL3gUK%>z#
z4^6FvN&Pk&Qtw^K>ffP<Wt`McD6<Ug^<|zu_a~lj;%RWy#>NKH*tTw)Vz)ue$XvFZ
zQ`8;rpLz>UxtG>wf2HS<oS~8V){Bt!iSCNz<3*}c1Rpb`g;g+Yq3L(Xmn9ZB04l4r
zb*(vpyZ~%*!;uuQON$ELjO0&1+xG)8)v;S$mxXz38I-b5JbJ=wJh90ZSi~wT;d7hp
zotydcYLp6Ew<&;RJ&s=j8F`=OslO}kLOT9b+{xk|CY9MMSoIG#9lnJ2oq&5r9-mPf
zL|YJ^HsazX{hBr2sl*E`At6FF$5G7DF?EpOu>VEa-@o7K@cV~F<SRW)z<SgL9~=Pi
zmB2O&Sh<xjo&XRB3<7VnveUmFV;^LOLvVH4fR`;}b(N*uF`vFoP4-gUcl3FnGQ%5Z
zwsHOag@w1-gb+hR-ZYq+$Z6`v%EP<|fK-skz1YtUtw?97f1G0y9$EN;)yGnPwg-jM
zv1VNsb<rk!$DvC@)PSK7p}oDC!!P0J3*jm_<IxryKaobgyg<jCeeB}uyv&FViPpAb
zS*2wnlW9vFSwyd}6*eG5?aFiE0*KC|8^^z|j=p>{(@lFp6GzltKPC3{eUG;q(vd?B
zqYbTkJ}q)Va0&?mR#gqhOJW|k)h2+ez+WPaZ+)9-s&m?+D|1Vosuqb};EV6US9XA1
zb2!A0FIbQLdTs6geF-Hq@(R>+e<7ZL${ht-g9R1UBPBMY%xyC#hFY51f_f}pykyW$
z*)^kUbZwaf5^4e)+H%!flTBM|Pb|=r-Ui9|$$^;+)27N1;lZNl)dG)iJuH^|85p3k
z!ipBU1;A@+$BwOll;s)Z??%oj5(GfKdU0w8>sPwQ3Usi!84QlgiMnteNQ^^v+}Gnd
zOPnT^$1Gec-z>Z=c3t0*VOi9NjkLEmm{I!f?&aDaujrB`=LUt~;UFspUcKYuT{m)S
z=QCC}&;IsBOL!sl>3a(ws716oTSAP(z8^6t|15Z04-gbv6Z*95q&$*mg9=HK_4Bbf
z*C%0lb3ErO>=#bu`BPe8=3Z~#y*9+$(BQ<f5A%Y89ZHG<&N8o>^~Aeo(##m<1`?mL
z=YMG$>fr+0XsSx5cN~on2S1M}@4LsZJ2kT_*sk(C{%JJqdUF(+!}<vZRbdBS5rKdm
z!GFGySs4Js<^E{8FB&^vFxERzHt#Ux;<!G)J-*YD5=}jQ#E)ND+|Q}=$)|p+;=Pn5
z)7>j~%#G%UJkreGp3%DFG4*@xEqRLE0?%88jgzyzI<|w;i6RH3=~8!%@wW%tvV9d=
z{DES}g-+h%kcP_2Uwt>FF+ej*u)A}-t!WMKU30BFKf`huHmv+<BfKr=7<(~l*B;C{
zrA7C;@sh{>^^JDDv9}7_m<?-1;<M!e3{N*t=5p0YpILA5tc9A}RGG2HH^SxatvlSM
zok1b4Dh#|0!b+^>&NjAR+Ai8xbo+4(o*qx}MrJF!(nbp<#e2gTMIsN)ESXA#LNgrr
z`yUYksLc^aSL*q0rhv^UpEx6y>})hsn#?mQTOm9BeK}54dFqUo{q_c<Q>`V}m<E>9
zDV)o<j(Qum9<X+=m<JL8nSurBhd!(_vnV`%6mH~eYuci2Cwv)M5|wYX%3t5xYMYH;
zzH>G$Ou{Wf!VKWV*g|--GW}NmmBqX-va!6DZ}Ycs`(RIUkKXy2Z|l8gkzMBg5^_xu
zNNe6d5VCx;NNB6YcO~QpltW<Ag-MlozFWAg5I60HAs@F@L6rIo5=@^|Ri)^Y`+Ex~
zSMyEDom`0K^B5<#%v1XsxTiMjDeviYTcE45xT*S?V-9t&X5BLd_MnDMkw(gj5yw=<
zWM=jVom{Ngs@N?qqD*`EuiWLk2(Q@sx3spia6OQ@9_Um%L8QHY!%>Xd`fhTiY}VzT
zGfSKN8B1zorq=oHPwCIg+E><oS|4qD;>VO7vw|Ws8Iw&eYZ<o1ENWNtR5Yq?V{tWb
zV0#gg>3t^a@YrDRkx;|(bUz`Uw3oZ&0~I(MCLOx7BY1+UHb)8w7g(pCU)w8tT&Zd#
zby)PkqR3LQ!+ByTMaabfVhFqx0?3(7c4c4D`6sp4m5uWy%33@86H@u@%sxe}(s{g$
zXBxT<pQqOAgAOwZa^~;46n<p2x9auLlZtXIPd?qXb*&D)bV^LR-=_Mvs~s#GMLpeg
z=${n2FYe0rZru|TbMblphMYEMx!YXY`Sst<Q-nQRzu62?S5*0EOCRO)v=?j^*tl0~
zdVAJH$4xfbXAr3o2@zP$4b2^I4_#nL>vwzn9)dgHm?yf=6T&&XR9(;J?GY~UzZKrg
z^I6SpHP$pzA*-lTQVglfE!<sCckh7%b|~YV_6;wh%9Blz5NFh}SlCnRZp(?vQhmuj
zT1F)m_HDpyX_qnYZTfUodtG#<iu?9oakUZq{>=yCvb!JxuX2HRB5iS$?tzBsb8TEC
zrgybbTBJgbG?B;rl~t#91{(~1^gqFx{-*$h-!IsgW92-b$CHz-JpL;zXz-u%0k!>c
I@&-5l4?C2>+5i9m

diff --git a/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb
index 9a33caec3..2a86a5b8e 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:09.094115Z",
-     "iopub.status.busy": "2024-11-02T22:07:09.093635Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.093726Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.093004Z"
+     "iopub.execute_input": "2024-11-03T03:09:36.781894Z",
+     "iopub.status.busy": "2024-11-03T03:09:36.781699Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.765285Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.764665Z"
     }
    },
    "outputs": [
@@ -36,7 +36,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpp56jd4o0\n",
+      "Parsing /tmp/tmp1kn5cxxi\n",
       "converged SCF energy = -75.6787887956314\n"
      ]
     },
@@ -59,7 +59,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -125,10 +125,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.097160Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.096390Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.101323Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.100896Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.768847Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.767905Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.773013Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.772563Z"
     }
    },
    "outputs": [],
@@ -168,10 +168,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.103629Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.103242Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.106674Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.106113Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.774914Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.774553Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.777802Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.777214Z"
     }
    },
    "outputs": [],
@@ -200,10 +200,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.108692Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.108255Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.226251Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.225704Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.779838Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.779439Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.892792Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.892277Z"
     }
    },
    "outputs": [
@@ -238,10 +238,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.228417Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.227955Z",
-     "iopub.status.idle": "2024-11-02T22:07:18.112696Z",
-     "shell.execute_reply": "2024-11-02T22:07:18.112176Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.894957Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.894498Z",
+     "iopub.status.idle": "2024-11-03T03:09:45.830630Z",
+     "shell.execute_reply": "2024-11-03T03:09:45.830079Z"
     }
    },
    "outputs": [
@@ -253,10 +253,10 @@
       "  message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -75.6838156986605\n",
-      "        x: [-1.603e-01  6.416e-03 ...  5.748e-02 -1.005e-01]\n",
+      "      fun: -75.68381570802092\n",
+      "        x: [-1.603e-01  6.417e-03 ...  5.748e-02 -1.005e-01]\n",
       "      nit: 3\n",
-      "      jac: [ 2.174e-04  1.151e-04 ... -4.758e-03  7.400e-03]\n",
+      "      jac: [ 2.132e-04  1.165e-04 ... -4.746e-03  7.405e-03]\n",
       "     nfev: 112\n",
       "     njev: 7\n",
       " hess_inv: <15x15 LbfgsInvHessProduct with dtype=float64>\n"
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb
index 9eefaa1a6..07c3b327b 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:19.654851Z",
-     "iopub.status.busy": "2024-11-02T22:07:19.654659Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.377607Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.376996Z"
+     "iopub.execute_input": "2024-11-03T03:09:47.572603Z",
+     "iopub.status.busy": "2024-11-03T03:09:47.572123Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.272145Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.271588Z"
     }
    },
    "outputs": [
@@ -40,8 +40,8 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_a(0)): -0.25,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
+       "    (cre_a(3), des_a(0)): -0.25,\n",
        "    (cre_a(0), des_a(3)): 0.5\n",
        "})"
       ]
@@ -76,17 +76,17 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.379884Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.379426Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.383728Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.383237Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.274578Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.273960Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.278035Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.277487Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j})'"
+       "'FermionOperator({((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, False, 0), (False, False, 3)): 0.5+0j})'"
       ]
      },
      "execution_count": 2,
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.385740Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.385366Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.389693Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.389238Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.279831Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.279613Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.283964Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.283396Z"
     }
    },
    "outputs": [
@@ -122,16 +122,16 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
-       "    (des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
        "    (cre_b(2)): 0-0.25j,\n",
+       "    (des_a(3), des_b(3)): 0.0625,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
        "    (cre_a(3), des_a(0)): -0.5,\n",
-       "    (cre_a(0), des_a(3)): 1,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j\n",
        "})"
       ]
      },
@@ -170,10 +170,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.391711Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.391270Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.395098Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.394617Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.285803Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.285613Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.289505Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.288926Z"
     }
    },
    "outputs": [
@@ -182,16 +182,16 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
-       "    (des_a(3), des_b(3)): 0-1.25j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(2)): -5,\n",
+       "    (des_a(3), des_b(3)): 0-1.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
        "    (cre_a(3), des_a(0)): 0+3j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 2\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j\n",
        "})"
       ]
      },
@@ -220,10 +220,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.397030Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.396685Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.400609Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.400023Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.291473Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.291124Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.294960Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.294391Z"
     }
    },
    "outputs": [
@@ -231,16 +231,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
-       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (des_b(3), des_a(3)): 0+1.25j,\n",
-       "    (cre_b(2)): -5,\n",
+       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
+       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
        "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
-       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j\n",
+       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j\n",
        "})"
       ]
      },
@@ -265,10 +265,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.402780Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.402327Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.405706Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.405220Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.297038Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.296681Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.299730Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.299148Z"
     }
    },
    "outputs": [
@@ -298,10 +298,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.407686Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.407335Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.411626Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.411127Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.301714Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.301366Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.305046Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.304573Z"
     }
    },
    "outputs": [
@@ -341,21 +341,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.413487Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.413143Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.419446Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.418877Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.307040Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.306688Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.311970Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.311499Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.14864815-0.06985559j, 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        ])"
+       "array([ 0.        +0.j        ,  0.        +0.j        ,\n",
+       "        0.        +0.j        ,  0.        +0.j        ,\n",
+       "       -0.07897558+0.00918165j,  0.        +0.j        ,\n",
+       "        0.        +0.j        ,  0.        +0.j        ,\n",
+       "        0.        +0.j        ])"
       ]
      },
      "execution_count": 8,
@@ -380,10 +380,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.421745Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.421274Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.434858Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.434284Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.313721Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.313530Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.324189Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.323702Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
index 8fa454c33..9a5ebf832 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:22.149915Z",
-     "iopub.status.busy": "2024-11-02T22:07:22.149720Z",
-     "iopub.status.idle": "2024-11-02T22:07:23.165114Z",
-     "shell.execute_reply": "2024-11-02T22:07:23.164515Z"
+     "iopub.execute_input": "2024-11-03T03:09:49.935152Z",
+     "iopub.status.busy": "2024-11-03T03:09:49.934963Z",
+     "iopub.status.idle": "2024-11-03T03:09:50.910705Z",
+     "shell.execute_reply": "2024-11-03T03:09:50.910127Z"
     }
    },
    "outputs": [
@@ -27,14 +27,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "converged SCF energy = -77.8266321248744\n"
+      "converged SCF energy = -77.8266321248745\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpgls5fgzz\n",
+      "Parsing /tmp/tmp3ddibu_u\n",
       "converged SCF energy = -77.8266321248744\n"
      ]
     },
@@ -42,7 +42,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
+      "CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
      ]
     },
     {
@@ -57,7 +57,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -123,10 +123,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:23.168746Z",
-     "iopub.status.busy": "2024-11-02T22:07:23.167789Z",
-     "iopub.status.idle": "2024-11-02T22:07:23.239035Z",
-     "shell.execute_reply": "2024-11-02T22:07:23.238466Z"
+     "iopub.execute_input": "2024-11-03T03:09:50.913953Z",
+     "iopub.status.busy": "2024-11-03T03:09:50.913324Z",
+     "iopub.status.idle": "2024-11-03T03:09:50.984167Z",
+     "shell.execute_reply": "2024-11-03T03:09:50.983496Z"
     }
    },
    "outputs": [
@@ -134,14 +134,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.87421536374029  E_corr = -0.047583238865859\n"
+      "E(CCSD) = -77.87421536374032  E_corr = -0.04758323886585516\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialization: -77.8716002481628\n"
+      "Energy at initialization: -77.87160024816322\n"
      ]
     },
     {
@@ -189,10 +189,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:23.241642Z",
-     "iopub.status.busy": "2024-11-02T22:07:23.241348Z",
-     "iopub.status.idle": "2024-11-02T22:09:07.699439Z",
-     "shell.execute_reply": "2024-11-02T22:09:07.698844Z"
+     "iopub.execute_input": "2024-11-03T03:09:50.986862Z",
+     "iopub.status.busy": "2024-11-03T03:09:50.986639Z",
+     "iopub.status.idle": "2024-11-03T03:11:35.224237Z",
+     "shell.execute_reply": "2024-11-03T03:11:35.223530Z"
     }
    },
    "outputs": [
@@ -204,10 +204,10 @@
       "  message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -77.87387392331689\n",
-      "        x: [-1.152e+00 -1.542e-04 ...  3.684e-04  1.287e-01]\n",
+      "      fun: -77.87387392050736\n",
+      "        x: [-1.153e+00  3.835e-04 ...  3.271e-04  1.286e-01]\n",
       "      nit: 10\n",
-      "      jac: [-1.421e-05 -3.411e-05 ...  8.527e-06  7.105e-06]\n",
+      "      jac: [-7.532e-05 -4.832e-05 ... -1.421e-06  5.684e-06]\n",
       "     nfev: 949\n",
       "     njev: 13\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
@@ -251,10 +251,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:09:07.703001Z",
-     "iopub.status.busy": "2024-11-02T22:09:07.702186Z",
-     "iopub.status.idle": "2024-11-02T22:09:44.475010Z",
-     "shell.execute_reply": "2024-11-02T22:09:44.474342Z"
+     "iopub.execute_input": "2024-11-03T03:11:35.227184Z",
+     "iopub.status.busy": "2024-11-03T03:11:35.226942Z",
+     "iopub.status.idle": "2024-11-03T03:12:12.262082Z",
+     "shell.execute_reply": "2024-11-03T03:12:12.261507Z"
     }
    },
    "outputs": [
@@ -266,10 +266,10 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.87363426389763\n",
-      "        x: [-1.153e+00 -3.426e-05 ...  3.518e-02  2.561e-01]\n",
+      "      fun: -77.87363426424223\n",
+      "        x: [-1.152e+00 -9.666e-05 ...  3.520e-02  2.561e-01]\n",
       "      nit: 5\n",
-      "      jac: [-2.842e-06 -8.527e-06 ...  2.842e-06 -1.421e-06]\n",
+      "      jac: [-2.842e-05  0.000e+00 ...  5.684e-06  2.842e-06]\n",
       "     nfev: 329\n",
       "     njev: 7\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
@@ -314,10 +314,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:09:44.478658Z",
-     "iopub.status.busy": "2024-11-02T22:09:44.477668Z",
-     "iopub.status.idle": "2024-11-02T22:10:06.110406Z",
-     "shell.execute_reply": "2024-11-02T22:10:06.109698Z"
+     "iopub.execute_input": "2024-11-03T03:12:12.264734Z",
+     "iopub.status.busy": "2024-11-03T03:12:12.264493Z",
+     "iopub.status.idle": "2024-11-03T03:12:36.098471Z",
+     "shell.execute_reply": "2024-11-03T03:12:36.097860Z"
     }
    },
    "outputs": [
@@ -328,29 +328,29 @@
       "Number of parameters: 46\n",
       " message: Convergence: Relative reduction of objective function <= ftol.\n",
       " success: True\n",
-      "     fun: -77.87363432086376\n",
-      "       x: [-1.152e+00 -6.554e-05 ...  3.512e-02  2.558e-01]\n",
+      "     fun: -77.87363433758041\n",
+      "       x: [-1.151e+00 -4.606e-04 ...  3.452e-02  2.562e-01]\n",
       "     nit: 3\n",
-      "     jac: [ 6.404e-07 -6.053e-07 ... -8.231e-08 -1.129e-07]\n",
-      "    nfev: 544\n",
+      "     jac: [ 4.562e-07  1.736e-07 ... -3.227e-07 -4.524e-07]\n",
+      "    nfev: 577\n",
       "    njev: 4\n",
-      "  nlinop: 360\n",
+      "  nlinop: 393\n",
       "\n",
       "Iteration 1\n",
-      "    Energy: -77.87363062143118\n",
-      "    Norm of gradient: 0.0016370665470034896\n",
-      "    Regularization hyperparameter: 0.0032271540206360518\n",
-      "    Variation hyperparameter: 0.9997509026686763\n",
+      "    Energy: -77.8736283232542\n",
+      "    Norm of gradient: 0.0019097937737423828\n",
+      "    Regularization hyperparameter: 0.0011342252364610983\n",
+      "    Variation hyperparameter: 0.9833189070064106\n",
       "Iteration 2\n",
-      "    Energy: -77.87363431675553\n",
-      "    Norm of gradient: 3.8336260919499114e-05\n",
-      "    Regularization hyperparameter: 0.0025217349578626033\n",
-      "    Variation hyperparameter: 0.9997506593747205\n",
+      "    Energy: -77.87363426110551\n",
+      "    Norm of gradient: 0.00010311164011631924\n",
+      "    Regularization hyperparameter: 0.004681491680754198\n",
+      "    Variation hyperparameter: 0.9801535566741463\n",
       "Iteration 3\n",
-      "    Energy: -77.87363432086376\n",
-      "    Norm of gradient: 5.710324954165145e-06\n",
-      "    Regularization hyperparameter: 0.0025222760278943114\n",
-      "    Variation hyperparameter: 0.9997506618976828\n"
+      "    Energy: -77.87363433758041\n",
+      "    Norm of gradient: 1.2775334823866314e-05\n",
+      "    Regularization hyperparameter: 0.003048628566278581\n",
+      "    Variation hyperparameter: 0.9802467636577891\n"
      ]
     }
    ],
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
index 6ecb445e1..b18288874 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:07.678004Z",
-     "iopub.status.busy": "2024-11-02T22:10:07.677818Z",
-     "iopub.status.idle": "2024-11-02T22:10:08.377733Z",
-     "shell.execute_reply": "2024-11-02T22:10:08.377077Z"
+     "iopub.execute_input": "2024-11-03T03:12:37.889779Z",
+     "iopub.status.busy": "2024-11-03T03:12:37.889596Z",
+     "iopub.status.idle": "2024-11-03T03:12:38.580022Z",
+     "shell.execute_reply": "2024-11-03T03:12:38.579464Z"
     }
    },
    "outputs": [],
@@ -54,10 +54,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:08.380399Z",
-     "iopub.status.busy": "2024-11-02T22:10:08.379943Z",
-     "iopub.status.idle": "2024-11-02T22:10:08.950985Z",
-     "shell.execute_reply": "2024-11-02T22:10:08.950368Z"
+     "iopub.execute_input": "2024-11-03T03:12:38.582251Z",
+     "iopub.status.busy": "2024-11-03T03:12:38.581958Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.150076Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.149437Z"
     }
    },
    "outputs": [
@@ -103,10 +103,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:08.953549Z",
-     "iopub.status.busy": "2024-11-02T22:10:08.952846Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.012477Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.011861Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.152839Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.152130Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.214306Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.213700Z"
     }
    },
    "outputs": [
@@ -160,17 +160,17 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.014649Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.014206Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.018489Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.017849Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.216546Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.216162Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.220539Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.219965Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d47ee0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d7b0>"
       ]
      },
      "execution_count": 4,
@@ -195,17 +195,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.020438Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.020240Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.025295Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.024703Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.222630Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.222281Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.227274Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.226695Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6fdc0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b5007bb0>"
       ]
      },
      "execution_count": 5,
@@ -242,17 +242,17 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.027527Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.027034Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.031793Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.031307Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.229451Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.228955Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.233536Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.233060Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e78100>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d660>"
       ]
      },
      "execution_count": 6,
@@ -279,17 +279,17 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.033747Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.033377Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.037418Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.036961Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.235405Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.235044Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.239111Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.238652Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d66026e0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48be170>"
       ]
      },
      "execution_count": 7,
@@ -315,17 +315,17 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.039543Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.039079Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.043658Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.043057Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.241098Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.240734Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.245046Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.244474Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e7a410>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b519f850>"
       ]
      },
      "execution_count": 8,
@@ -354,17 +354,17 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.045788Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.045430Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.050355Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.049767Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.246992Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.246644Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.251581Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.251112Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6603340>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48befb0>"
       ]
      },
      "execution_count": 9,
@@ -391,17 +391,17 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.052549Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.052067Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.057472Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.056994Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.253610Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.253168Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.258320Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.257748Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e79180>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b531fe50>"
       ]
      },
      "execution_count": 10,
@@ -428,17 +428,17 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.059366Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.059031Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.064840Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.064331Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.260485Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.260126Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.265208Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.264754Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6df30>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b50078b0>"
       ]
      },
      "execution_count": 11,
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb
index e4d5f4c53..97b6ce455 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.023218Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.023032Z",
-     "iopub.status.idle": "2024-11-02T22:10:11.726751Z",
-     "shell.execute_reply": "2024-11-02T22:10:11.726209Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.138211Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.137758Z",
+     "iopub.status.idle": "2024-11-03T03:12:41.822139Z",
+     "shell.execute_reply": "2024-11-03T03:12:41.821616Z"
     }
    },
    "outputs": [],
@@ -71,10 +71,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.729211Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.728796Z",
-     "iopub.status.idle": "2024-11-02T22:10:11.792461Z",
-     "shell.execute_reply": "2024-11-02T22:10:11.791845Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.824635Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.824156Z",
+     "iopub.status.idle": "2024-11-03T03:12:41.888068Z",
+     "shell.execute_reply": "2024-11-03T03:12:41.887437Z"
     }
    },
    "outputs": [
@@ -154,10 +154,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.794615Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.794266Z",
-     "iopub.status.idle": "2024-11-02T22:10:12.073149Z",
-     "shell.execute_reply": "2024-11-02T22:10:12.072610Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.890036Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.889820Z",
+     "iopub.status.idle": "2024-11-03T03:12:42.164116Z",
+     "shell.execute_reply": "2024-11-03T03:12:42.163502Z"
     }
    },
    "outputs": [
@@ -174,7 +174,7 @@
      "text": [
       "norb = 14\n",
       "nelec = (3, 3)\n",
-      "E(CCSD) = -108.9630419334854  E_corr = -0.1278053627110062\n"
+      "E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110059\n"
      ]
     },
     {
@@ -188,15 +188,15 @@
      "data": {
       "text/plain": [
        "{'0000000000011100000000000111': 9924,\n",
-       " '0000000000110100000000001101': 16,\n",
        " '0000000001110000000000000111': 10,\n",
        " '0000000000011100000000011100': 10,\n",
-       " '0000000001011000000000010110': 10,\n",
+       " '0000000001011000000000001101': 7,\n",
        " '0001000001010000000000000111': 5,\n",
-       " '0000000001011000100000000110': 4,\n",
-       " '0100000000100100000000000111': 3,\n",
+       " '0000000001011000000000010110': 5,\n",
+       " '0000000000111000000000001110': 3,\n",
+       " '0000000000110100000000010110': 3,\n",
        " '0000000000011100100000001100': 3,\n",
-       " '0010000000011000000000010110': 3}"
+       " '0000000001010100000000010101': 3}"
       ]
      },
      "execution_count": 3,
@@ -276,10 +276,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:12.075120Z",
-     "iopub.status.busy": "2024-11-02T22:10:12.074921Z",
-     "iopub.status.idle": "2024-11-02T22:10:12.625245Z",
-     "shell.execute_reply": "2024-11-02T22:10:12.624751Z"
+     "iopub.execute_input": "2024-11-03T03:12:42.166426Z",
+     "iopub.status.busy": "2024-11-03T03:12:42.165828Z",
+     "iopub.status.idle": "2024-11-03T03:12:42.716195Z",
+     "shell.execute_reply": "2024-11-03T03:12:42.715670Z"
     }
    },
    "outputs": [
@@ -294,7 +294,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "SCF energy = -75.3484557086637\n"
+      "SCF energy = -75.3484557078781\n"
      ]
     },
     {
@@ -312,7 +312,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(UCCSD) = -75.45619739097027  E_corr = -0.1077416823065346\n"
+      "E(UCCSD) = -75.45619739111282  E_corr = -0.1077416832347316\n"
      ]
     },
     {
diff --git a/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb b/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
index 636d05070..67fab4d38 100644
--- a/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
+++ b/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:14.381182Z",
-     "iopub.status.busy": "2024-11-02T22:10:14.380997Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.137804Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.137200Z"
+     "iopub.execute_input": "2024-11-03T03:12:44.267379Z",
+     "iopub.status.busy": "2024-11-03T03:12:44.267196Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.023340Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.022753Z"
     }
    },
    "outputs": [
@@ -80,10 +80,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.141695Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.140522Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.145296Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.144828Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.027049Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.025926Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.030664Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.030224Z"
     }
    },
    "outputs": [],
@@ -106,10 +106,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.147362Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.147044Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.151602Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.151030Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.032787Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.032369Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.037126Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.036677Z"
     }
    },
    "outputs": [
@@ -172,10 +172,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.153661Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.153315Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.157122Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.156662Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.039118Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.038771Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.042961Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.042384Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.159022Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.158702Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.162593Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.161960Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.045031Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.044679Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.048132Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.047640Z"
     }
    },
    "outputs": [
@@ -242,10 +242,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.164656Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.164315Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.182933Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.182341Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.050095Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.049748Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.068578Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.068091Z"
     }
    },
    "outputs": [
@@ -253,7 +253,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Maximum error in a tensor entry: 0.036685417309836654\n"
+      "Maximum error in a tensor entry: 0.03668541730983488\n"
      ]
     }
    ],
@@ -302,10 +302,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.184960Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.184491Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.188871Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.188284Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.070623Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.070269Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.074468Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.074013Z"
     }
    },
    "outputs": [],
@@ -360,10 +360,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.191079Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.190624Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.194332Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.193718Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.076384Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.076038Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.079535Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.079045Z"
     }
    },
    "outputs": [],
@@ -400,10 +400,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.196201Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.195900Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.294202Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.293548Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.081597Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.081249Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.179224Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.178629Z"
     }
    },
    "outputs": [],
@@ -439,10 +439,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.297362Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.296578Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.346001Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.345517Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.182273Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.181487Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.234243Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.233745Z"
     }
    },
    "outputs": [
@@ -450,7 +450,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.940243538754112\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9402435115134801\n"
      ]
     }
    ],
@@ -480,10 +480,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.347846Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.347659Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.576635Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.576128Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.252904Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.252557Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.465435Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.464922Z"
     }
    },
    "outputs": [
@@ -491,7 +491,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212861539957\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854198805\n"
      ]
     }
    ],
@@ -521,10 +521,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.578705Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.578355Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.721380Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.720805Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.467506Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.467310Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.595746Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.595252Z"
     }
    },
    "outputs": [
@@ -532,7 +532,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212861539393\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854198383\n"
      ]
     }
    ],
@@ -563,10 +563,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.723511Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.723079Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.827746Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.827238Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.597844Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.597491Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.705201Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.704572Z"
     }
    },
    "outputs": [
@@ -574,7 +574,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9996731164192681\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9996731164187923\n"
      ]
     }
    ],
diff --git a/dev/.doctrees/tutorials/double-factorized-trotter.doctree b/dev/.doctrees/tutorials/double-factorized-trotter.doctree
index d001175ab1de41291ec16dfef318d078af1cbde0..659fe7fa764334f7edadfbce9637b17e1505ff0c 100644
GIT binary patch
delta 508
zcmZ3sl6l!m<_)@ujE<A_63vB8EG)Qe^b3ko?WSa~$4<$x>j8^11H~tANvvWloxCtq
zXL59sAz0+2q}b#I8`v>K<tOVU$1<8su1_@N0qTSq1r`8l-26ZJr~TxFU3QbtEo0*}
zG&D6dHnA`;ob0&X7fodTlB&tw$5PNlA@*ith{{j4ToyZ->x2bJh685q<bV^7s7g0$
zE$8RpFf}o>w6HKR1zH<|;LKhB6v2U5RD>)5v}5BOgg_wB?Edv^aDmM_n<}A38(SEI
zjAjShV{9>*WA`(NGLQs{$q)hg$xHV@O$G@-O@?XTJbkYu2djm-r4h(fzsVntaYA{5
h$6i2L5JPj2<UUHuPhNX`K2$#NgcpRhdBF)b9ss)(s__5-

delta 561
zcmZ3sl6l!m<_)@uj82pF63s=-%uG$VZ1f9?QthT>u*Xixu<HR!uz(~cZ%V9UEStPA
zRA+Kzk|9Lsqomm61sm8gh2<w}CC4(FPL7XNoIF2KfEQ!{%t*K>*o@6TlYiPX22BoJ
zZ#&sw37dqmg}JGTp`j6)JKzd9U<xMBUQ)%_26oSe-R2;@2q~Dma7xQhHeVLY=sNk}
z8k5PoOE?8#hQizkmw}tPS!+2z2Zx!Vsj;P{srh8b^&tq(-1Scp9EjaT$O7_{EjP|V
z2n3#RoZP>j4KA=*XHzBAXk$xbkkRa5dyFk7bL@TwQ3jGgF&QEtKY8h%IdIhhC!9bA
z!}y!0@0H|WwKOubFa#RvH~GUcPAE_C*b68NVrCAK+($|I$!m|#hsp<@@Pe>5FF3)*
F0|2>Ay0!oS

diff --git a/dev/_images/explanations_qiskit-gate-decompositions_34_0.png b/dev/_images/explanations_qiskit-gate-decompositions_34_0.png
index 5d5866284575b3198c21166515e14a9e574c1524..adc6258bcb36a06626f846bec1ba6c02721df9dc 100644
GIT binary patch
literal 54140
zcmd?RbySq^w>Lbrv~-6cAku<Jqtb$)pmaA#$IvAr4FXb9DhMLd-Q6&h#L(T{&2x=k
zJ<spF=R7C=e($wriF0$uRr}hX*aW{&l)=TK#DYK|xN@?R$`A-@H3Wik_ZB+%=0z04
z0{BPJNlM*G#n#lx#lXP?^4!45&dS!w%EFKyYU1E%VQa(7DaiSNo!;EZ$<9%Ti_7}o
zeu2~0!HnyUA_^Sb1k+Ad!w~|(H$Z%lzKdsBKp=x_a*|J8xh8K;xoLk~y1v;P?J2<i
zu797tD2Oo6j?cyM)#l=wapG2G=CH*X)T;12`(x~KVUbFTiYg1oQ3l7dplUlQM?YV*
zb_Weo>_=_o$q%nhy?qqEG6vn_ZpPVJS!k44uFAit6F=GN6&>|luF9LxFV)Nq`g>F$
zr5B^zCirt?b3B6v|2;MFqDWry&oTKvT8H7!G0*>Tlko2q<zI~B|6Wjm%T)dMf)?w0
zaHhXk*hqA8{=LAS>i?&Yn48;#tQSYepixg<hZZ;6Q9WPKTp*cs8E`-Q_QAOc3F$Qh
z^X*H~lw#YzgCWRN{lm`bg3Hsbnb<6Fj{iM-igf6<nr?~i2qt-b8@OVAO6)e>X0li4
zKSLnfYeAm=zZ{KEpLHjnwi)wgK{E_@cU$!L8(21<J(W>lDd?s*3uOK?gm@XLI`jO9
zujkS|h5CeL)5mm;>+Kj#vLb|q+5fz-Jv~!(%NDt4tp&d;b=+6akYh7JVd{T(QauD)
zu;x-H%-iquU70gf;O~@r%o($JpOy6vD{JuXuAQfs7lnWwy@iDZISzUpr_TE3ZU*hC
zvjO3n3%|jEXcY10bz%amp8h_z6I5L>N)Kxy;z^smfVDl8Z#(BZ4wSn1iZ}%d<zskg
zRQmK7bIgHwKO}`FT(+0yUV%>Eg`%J^A%Q&!T9&~D&zL>+v#w;C@StDs<P~1nmTFcm
z#c9dP%Nwo#%5G_CDX^P+`W}}G{qfVMZzUFZ62i0}I`dh-*9&hnH}1RfHr~o`VP)fV
zHm5e^I)trQ2yWVgfqEqqI@e3HTVMNP-y=FFn{1L4&1n2>V0T9OM)}vFT_`$xr=Lna
zOC_aS18(kI9h-H1Xa!ad$@K+xPxm`7w6X_``gndA^Ynu=*>l0#Md32~$9Q9Qi&h#J
z%yzcyht_i?1(F%G!Wx#<ww}kKTipu2kCn)2F&8HM$~(ao9VT|ck;XeU2YB6a9E_r(
zDR?wO5Pkln;E)i8d-sAya<zo{QepTrlHJoZ8bZ4~UC)$wSFc#sgiP*Q$T`wb26j~L
zhZt<06x2gtTRqMtsMB2qM~Cj&!U;IAkbY6(*v6~uvT5WI$1bIm_fpkXba~TjDBhg*
zE+l?FR)J?4cH6m)$Qhe~rS*-Ib^VzJ&}b5}l5={II8*ug)HfGAuErc9MEE{XtKyfE
z>y?+v<n@%$loH#ClzRau4-6b>Yo>{6KJF6QvvLmf87=oDhLQ7p6&XO&e~=gy5^{fM
zxYTh)(fw#$sv5erI-En6n3(8Hsx(oJUU+uIL`>b0e%gUKXy&ERV{M8f9WRhFpE*6I
z%QN7d_Zq_ht{eD%F^<%<dHH})$4tEtmnJ2Dg&`<(%;9kJ$o=}EH4>Im^T8S(-m}FA
zB=L<yR1Jo?r@H1>S7zgVc0XG%8-rzQkG5eU!Fi6k!pNZ~0uLAnvT={ZgkusDJGZB*
zDa1To157+lwmFobS4&(zbB!2u#w)NCk<(fKNtYQfXTnIe&ve%YY9Gp-UEJVNz14eI
zyUpU4Awux1j@D%M0Im}qfdRBK@#9DrwU<vgfAnCbZDv<RkeoV2E<Yn0-CaxlL4{1J
z-_0}THp#OW^sB|?!djGv^U#lEwuGeawAJ8Fu&k(>Hu_Cx_IaH_!^nHF`u6WZzif}Z
zKR>sz;e_-iJt}9LDKx?m6coIB_paS){~dm-v4;JnZlsEZ2w~UNFM+39<ueuYA)zdv
zk&%(_v1Xq>)T4^b6d@QJ&Fg8NA@hx1KwC0lYPaT1bHA=rxc^AsH*s@FhD)=LtBlM#
z^PBcynNgOW<`p&tcZ0$cY0F%z?kLX*D9dudPR>swq_U-ywu$N}qqhzcnGI~_;$|~a
z8#Ek#%(>$)+!yDarINF^*r@g}ZG8sZ)n?rBWmJ}h=^3KB$sU|by$uuzYIK@g&Mp1<
zG252QbaKOpnk*scm)7)`!V(W_m00JWW6LFn)|13<?4QIsOJzVca#ck{L<H<+A%1@G
z{Q1(gJ8%+eYMjTaBXIjCsyVSNX`Y0ktxummMFvC0#LkWr)5-r~-1q?jC1uxiZK=5F
zhLiUlNUERrl8J7(b*KN}Onk6_w#E@HntADJ;e&^U+1HF@&UvjQ>drg29~oAsa`E$g
zdoo%a^s!j?=>*=Cup~9ivQ$}Jy<@pIiOX%ueWsX=lQSYAft>mIr*~OdEZ5i9J*lEe
z;Z%?2S5{=Ktk|g@+58+3Q%n`nusCZhp+Q9c>Y`{Ow8fQc=@)^ripDoskL}v;JyRt8
zP=8WR**do!9iw7CaMcw$A}@}-Fe*U*`Pp5Ttlyi$sH7Z)_C>h$X<Gm}Za+&;5^ig2
z1a?oadaj)ema!U7zCV)r7QXn_jQ<mSln?IPrMbI1o1yqKr)R~LC5OWj>KWehqNq0~
zM#IiH%=o%V+;7GEDCZJBOJ?Y@6*u)S*%hodIfp$C%q-x%dDlEoNRagK%}9T_?M$fJ
zPf5_#OLKFL^R1znn3x8Ks{;xN+<tc?-uKu0_z1adhYgtD6%k3EoYd~>vVtEM6+Q62
zI#O$DZr-??*@IvA?cfHtxm-%6#vdivXH&IE>{+Abz+KUKYF*|ErXTA<q->M4TM4d{
zv5gRyvTPw9eYEYMr@@@|n9Ynib*kZyZ{qru(+^wG4l9tGsB|jq-=I=@G|j${k!E5z
zO6-KVXlHm?&CNSYW?W~VbaMJ~>QsIB^y%4?CrA_&6q7zTS5}i1g`N)QVAP1{==#1&
zg+kOz%n3kChCk(RI9R!RVPbes!opd7%uexdX4RL)MwD(`Qa0r?s@lr^b?f!^SG=L3
z2QuDD!mGoVm!*r!I&^r=3|94N9w?#*7tXn}nX(udOb&^f58tj3T8-M8;J%ghNf>M$
zcp0osn~r4a9QZgt#GfMEw;c0&y7@RisDr|##II#0W;V8TYdc6aTDyg0_`)D8mX)3T
zE+eBqCK2<;_}ZfptuR{APb;Y&5t+}E9{6}qJ<oW<QT!o}FTUh1?wVc6rF9PcWO_lL
zd$8ohPIK~9{j4ag6GdQXCG*J3c7CEtREsXGIb9ALGA>ez8tF@K_HOHTs<am4b+Mk6
zQdsA?my=B-o0VwQd5N8k=XR66uUyI(58hL|N0-TFY&-qLHlc6D-)F1ESH!*1g1a}f
zPon8fq+&`0<>!u$_D0R_to5u)az1y0uy5K{i~Ag7Q(s)2Nj#EiOc^Lc1#PTUKu?$^
zIp+_IJZUI1D%*djuSGRJscbDwptcy@nfE-2|D~#`>U1&oY!_R;@z!{$V%Rh4#vCcW
zEnW41fuT^)mI}j;EAm=vd~9y==OrHA0XklNp9`=|wtJe*H(oob+;zI>Q9X{-g@tv9
zQs8h4^c*`bi`0+yRq_P?k_^l&dw-p1Ji6kaLKP|dobMzcaALw6HkqEbx;U92nc>Y#
zG254GEpE0=WqV?8qrjld%gGbA=PBxb*kD;Yn5*^3ERX?jnS?rIU<kW_shm6615>Lr
z!OFBxyv>NUu=jz6`z1Za&5q@9?G38xo7cP?e^YH?yH4Zyj^M*3*T9m-)g={O(yK*7
z!>p`XD%$qBB}Yh*mjOv3uc`qn>wL?(2@Ff^PnJzB*~w`y$P{>DufK<*8J=RIwmmmP
z?AtaKs9fTbqoWbCJ*slrt=f)$|8E+XWgK5YEN{W%p-UyPQQy<HxM5rV^JfD;<3%=2
zw(G;lCig1DX~>zd@}3RB(ypu2KaXlD)OL95Zc(wX%9&xl!|z}^gYkGQXpNX|OlsFR
zYSUAQAU%sLQ~G(3`{K+;5^5I5bvhpRM@=~z0(Z(492^e+JYRVfK!^B2c6;_-!uIjl
zvvxRbEa8bmYnFXmZPD}{`#&8bd-d5M?9U|(|3kQ8{?<L)#SnRJN(?sPBJm+Qx@oM?
z2;7gJf#I#&!7`jfuRtH^&Ye5&0s|dSrd*8pDAz`EseEoOX13OA_q*77K0OS**r`ur
zRmp_xcCw`H4$5;G@KL%Q4Xdrei&>1?BTTj@D?vUQNb@Jf=2LhEm8)IY!Q5+vMKoQ3
zARYlO-ra4+j{(6XU$?d^-s}2o#q)4LW^rk0?`TwSVP~hWBZ?7T>Bs_RFI)a2!<Jj~
z3kzp+fplHn)2<7+s=1m{y1KOZ;+Nc^WL%jtk+gSNSa|Jb9|zL@eW(a!+r7aC=gqOG
z$;rw6Q8zcY)6-LZZt`1rcx^K?bdZ?NS6|Fj50-m*D7S1GqoSgcg`7hc+9QdGiBTJT
zkx<mjtTbro{?0siXfU5^c6RpVQN9m{PfBbo81HvFDY;tZ4yU^Y<7L(!16w*iS4SXM
zcmdX4>TF0*kUmIgN~tRTKn|u~#qt?`pLosiOp6l>3b;XgxYT!Af{8>9`z2})V8X-W
z+dYZA@H#JH@vB23IXSsf;y>_H_UOA=yex{dDJ<`xwWZ}lObm+eu;tQr_0DqTN-85C
zUy0_#(cWI;=qOpva96fU7Nn!IGg~#E`yWUV^+_23)J;@0w3jblK*mzXPp4dF?7?e8
zOnW~`sjHJ?ld|j2w*>d3iKmU~dW3^caGY<!)b-qxk`AYo+L^8`RA(1C=;4JRI@!46
zb{0*{KaJv}1{js^v1u_yG2F9pNg@!>q&0-(E;Dm<e7u^$8E705`9n+Mbm{OSEq?Dy
z*S1JHTeULimgaWt$@C`-&VQz^0|B^;EZPc7f#o{*K4*CAPp@kSF@Gof1B(d$hX9)B
zmwauE9+n16a`8^W<J}V{SlyqcnX&wFGuoYH12s%<A=#^b0%P9)Uoj-E5%K@}QK4EL
z30BL$B3|Lprjjerp1#wOTMb%6g;FeT_WubzEq-9!C#AvHcRfEUt+-)W5Kn||lG$Wz
z{sIu_FY?FB0P%(<J?l{~dStWmN2P&lcC$dnzrpDDNqPG_f${aB16;S$`paN=GJiu`
zhe@;!6BE;2CME(}+KBvoE))#ByBr+2{*4WT-{ezhQh%Y;b1E=g!I-V;Sfbxfi4*ZI
zVJmq1!SK3SpLM~mZAyi>@S?``OPl<V$6T;Nx;b_AGU|jiaq1T(yt9iL2?*3)zC!mn
zn0x$X96Eo_u6lZOQl^vL3Lglnb_m8?&sAkBpLD<m7*rueC>Eq_q@3Cv1qRI!Sy@>-
zb@r&y69${hv|H=9<?N^BNL_py3@+k+1Wccaa0H5OZ*nK!uP0tMZSrw|#o=C%ZkwZ&
zOTHbLE$Nr!OdQ5aTW)BwI$iph`!fn-a*VRA)c-NpN*jwqw)c52H1c|_V5@Whf+C^s
zDI8>xFw+~<Aw|vcUQl?hSnu=f376;BO9M$999#^4@ZwLqe(uh3PV`+r)zUChs$eDD
zw!yCBj7qt!Hb)pgB)n78Tx8NMtE7|#CNU(T*YxYxueY$UzB+G=;DvrWJ!OUVTw$fL
zQ4Y;biwj%TGmtqJ5x3>P*I}8P<hpdgp8eKauys!)=JUJw3iKS3%p07WD>PWGF#vu6
z)%v}65{Aeq+2)uy=X1P1lr&zum#NQH>lqw9NtnVGLKEZ=A;=DlAa0z>u@=>bSx;<r
z2CfX<*+3N;e}c(nk87fuP=Z%CWqYIRT0=bD_l^#~al)&ikLdyNJeIa0`2vU<6g-BK
zZeOt*KuS(R@_IUFW3Qc#<^FvvFbU!~wAR_<u5$PbJ=Q1{w=QyF$9EhArzZi_Lo?I6
zv87|b8Aha2sUK0wB*|WRKfj5_&$o4Sdc_dGV$P#5WnK;KqsujD<UhQ;$u0M~eVahg
zXoPf3&u*@4>Z?wHDxF-5l;?FQ#{gQa-jHxabNvHqn%IhB_q5Hfo*v_q?I|2Ov6`l$
zT91=BmTH@tJ!wSj2Ej93g4n)FC2Q`WmSjc%W`Zg<zVtmv(sFrW>UI4S4PUO4#$ZAj
zsk;tmao5OMITcT|3VNGk+&g{)H<yf#IP&k7LX7E1V&hu{A0#ao7p9Iyt6*lW{3M~v
zX0hYSJHnXD%gf09HExd8`!vE(5HwX%H`gc1cT9E|>FIr=qeIdX#$EZAf*ZPL^2VqD
z2s>U&C(B(Sn+W9}Qs%UnC>-L-y$--3*UzM9ELAOAlC9%WBj7c1j&){l=&O&N-`d(q
z_)HlTK}Uu(yS25jC_5=1=tI}Kx}|24LWnKtL?_vJ{3G8hTTG|VIsK?55_9w142O9L
zZ9|>I1YlBI>ho1W4C&=-r{|$L`;j+{FJr`WiXvLEIuir;>V$fpynKjLW%~;$1|vmG
z#CgE-ENd=g3^nBB$3@+kI(z&Lsy_lH2?&t;{`~oK{{aa6F-l^=t%mlii-!zHaivv{
zkiw$~M)h;IALhy^2eTEZe;>J01DGrMOIb=qjJ%uAkjIx_(f=*fvI;-3-(T!}){URJ
zHQP;<`OEdfFeW+q=|2S9Il(^!8-t)=z^VSqW;Jt&Vl!QRA+A}?ZN~o6Z)6*xp){mw
z68&2zTsoo7x^IT{eBS+<v6|7;3yQ=%&b^6{KDtinab9)Lqrxtpi_LvK%0vF#^Sq0=
zit9ynI{(@yQZ?tFsCida>v#I4XUEy{>2*e3atFQAZNfCrCL&&o@|6dZQFkh|7f-u%
z63A#2oA#PS&gY!OM+F9AfZTxj?%j6-=`y?qO{nj2D4yP2U#(46@=B*0;Wz5@8SWpq
z%+4X9qcGblh3TGWFu|4<keV5O&|=sk*@Qa0l4N-3sO2;q%!$HX^6;5cu>7f`fGZW3
zXCyyzE>+{}UTTWipkHRsYxHGvLd&;oUQZ}$w`>i(W~qYM1WN{UW<TV#XLVj14EXiy
z6&4m&M@Pr(^~H|aLR+{ZMbp^wat=kM83D@m5&3m)p8jI0)MUxIb71=&hr0Tfr&*aK
z-F=r)GX%I-T0(qxqq;|`1;auLuXN#5!?EFWUjzc*-*tc^*Us8bH5h+)6{Yf%PTie<
zt^a*pB{zsqAQJkHABluW*KC{dq^*fg+fMQ=pMnpLKb6*mxA;lzZqJd|YhLn+5wP-w
z9Xoegu(7c_J3926-eE48AhIg?IQF>)KNPT)6H-(6jO3D0@Y+!ni7DRMSoo+pllQ7`
zEym4Qj5p!yBo3iiSGg9{vsrEPW>+Ju4oOn%QcSn;3*;lMXv4Bc`l^61QNC$zGC`Td
zscS=0?Oe0YZl{fad6HI41#_9?C|&d6lV{r9H?2=Dn0KG>TU}qlN!3or>W-=zDLr-e
zX%r}bcyr9vdUK0o$K6=69q_>2y~3?f48oJC(t>`8Bc<-z=&6@ri@{Oc>LY(_5Td%2
zA~^=BG!s?cMMqKCM&5f;U`MtoV!(#KSA6uMhT~anRR*+jQ6}IYm}ELyya6)Km7~$&
z=B}wkPZaZuO$TVL>ze=*46zisYKu<doxb_m=)`w32b7S&x>Jns@gqB@?}~FqZ+Wb(
zMGX~G%8nRz9XsnC2(;4g@%%b=G`$YH!7UTD)M+7UedtFqrGK_F>ezLA_eHa=<d4}M
z%#)U;3TXe8qZYjWu)x*+B|6GwW$D(6!i3Elz1JNs=Vm5x^pn*Al$_MTetHTKk-b~D
zet0H!qNK;;i{%R2-RH&i9Xe|l@Y?5|?q#GQ|8_uuTV{(QH5pE*Gq3n@l`v|3@FJ~(
zjj1Xl?|UMXO|zzI*BX&b$4uF$A(jKksWqHR+kQ(gnL6<g11=B}4LIwj?N8FjJxPM+
zR}7xb6Gp7R@yq2`nj3nQzsxjVJayYWWr~|)ui%u_p6nEh<jF&t*1+Qzp7cpQ*`vw{
z#fd{_GQo*8zu*QS|3w_KG$8lXhQTr<v7olbX37j-TojmmWbSj=e(K1l6O*})BNp**
z4sxBf4x9GYJ{ydLY`R(Fd~td1=&<<ju+Y%<83{E1YGQ&`j>!FDs9`8JkLYalWJBQo
zpSR1#=QI1?DlCB0Ur$MR>{=dqaLl2srL3$>E(}Gm^dPz7ww)HKUIM8xJ%}JJEs~Jy
zi<z4T_VbbtczL(hMXwHreri`n&(9m`x-F5opKSN84y1R&U~Ll<NoNNuM5Lr`09Pdn
zyKtiWHyX67)4e(oX>V(Dn6NINo11%*#BY5+ImctWGB8EhMOjs~ZL-qQVl+?3Uo`7?
zv-1>0t23tePTql_dU@(0bg|kx6$XIQ$B)F6k8BhyEq_cE^@-mkKk-M8t-n4TQo_W?
z&o2ni$hfPTrwve<XHz#<Jx)V$pIG<$a84qh1)*)t9y$a-aC$+(O1#L->mM*TJX~Cp
z-cJvIYL;T94<M*Ffbh<ilMwBq;5FSH(XvIty-5B&k`?z6k`?u50Phx;m*eVT-QCUY
z?O8SL{eZ2NnW^*Qp=6tm6BV`A7`wdm6mniieQa!e7s4Eq?Ma1#j-wARGI4ezKhk}@
zayIF>w6*oz-2D4g)k^A01dTAV(4RKTBGfMo+2_xhn3*##omEvy!B8ya0~pl}I+v^B
z8el>S5m#<-!+TuC>g+YUP1vAQ@O*=UZb7#vH82LMBSKSFcIqx7U@5|mvkgd~ue1%W
zKqu|>OW@lNzg9!~*Jniu@tMJ>drWx^3=CS@+toD9rmCDvY-ecc=+dxl%o^XKWqkX#
z2Rb)C9%R_|7hB~-G&DLB2Gz;y$!5NOC>TW+LkQvLbUi2kKKsq_gsn!AF{VnEVs5qm
zZ_tsU$O^<g<v>^u(?jcVzUqCD9y>TVK*owpu)E{AR>t4tGXdRUZ76GEn1hoOy<ui1
z4L~lWva{O#{r!rI?dtB0rNzbmGV6&dk!1HAp_R&vjEtHZ`-L`==uk75BiKszj*ieM
zj|E8(%fSA%J0-xsM1P=OLjsQxIj<=WBse%&AytIJx1H7_4D68hH&-XcZ$>%0y1Kw`
zphF_X&hLRP09h|OK5frpXN;VpqG`v6JBos-=j)RP$#HRQ8FDe)l;J?=;WqE5$D<Z#
zc#DReAYjkX{2n*Gpy0ND;|sC1dRX@FHNWu^z|D*ZaJwGU1GIR28ljIQY^om;64Z6e
z3|m9?XUuv(p^Ysc2+br;KU>kPhH{)td)VSKK%d7uq^jj=nw0-E>5fxK79jXM7`#fg
z{-<pw2t8Dw^ZUzmOJ|Rr+7sPen?9Xiiy|9;W+-j%|5`|8{vPknQcql@C}1|j;|F-R
ze^Cg*$Q>#E)(-_Qyvy-hFoex!{zfE6z%Bgwnc;t^*#ab6{(%SH1Lz}i5fPpQkzLH{
z=zfAB%*_WK@GpO929#{G_=<4wwcP2wG}r;&;Jq?3IM<{sJbM9#_g7@52J6ILSX#;U
z6E1Dww|i+{uQdJz5B@$GH~$om%ZDsok6!GHbqY<y?{NtV68O-4xBA($XR^<pF^Gsz
z>*?vC<5A0MYEq*6`+bv-7ZMi9#_-ljkUUR$KIW-(7p>Zd*|du+;SxE8Ca!`fr*wbj
z+qSw>s+8n<>=3DdDvnfE3JrMm<osDaYBs+j^s)EQ{~i%abK$$!ai@N$OWDQ5%b1;g
zS=M(IP2*Vaq>iIp*)N=ywN%iaLi3&vVxoH5M|)~_0xz1IX|x{T7C{!#UViiLyw@^d
zslKUcv)E*mBXBOtPL1!hszo><D9A%d8}*=Ae~rs-osZmiy4S!M$LY=T=BlJ5Wmzo7
z?2JYMPv3D>c6=_b=vQ12R3GvM+6PBs{g(<LJ862S<lGk{PsfXc<Q_rU7Z<nCxjsD|
zux%eZaQo3bf16<CUU5@~^X`_nR`YdOZ59Fw9^bBUjV07AojbBFpr5G2-nW(79l=wt
zq?=wx3D=(2QIKq@z0`y(s7?^-nh9a6`~8}k4V3smj4wemDndpO<=8WYX}b+s5TsL$
zh-*kr+1<+D&9Cck>2})_43YPwP7-uvW|R)Qr{si`puh~ED!|&aAUIyGDfuw)^T#Qs
z2-y!kf3!DYTR$wvo`oF>Kb;Ruo^*u#RNXJzHrRQzVLmOIr+Cc5aMT?w3SeKd^=#V3
z#Si~u(YnR`pMvJ{PDtwaHR=`wE*+C3BnSzjW<+a|B8cJj_;0PhSCS;e;Z<fO-%bdU
zMJZ?Pi(7pgGUTJ~m+a~4R@~g|5b~d3zvvGid>i#=gIQAP0Syn-wV}-CRH^Rktbr|N
zyW9g`WvFG!R|JfG80JM(+1STTX3{r2(Pz_jK56~P6q~lbvHo@Tvth-<TEa|Hvc<kg
z@v*z^lAdI;0b1O53wDNiJGz}bp-!Vl{^uQ03^G!SB1hg3+5bexyG=~|4sOM%H&Se-
zWZIXiv*m?~iuwZV`(J9pWmHmcZE7u5iRzKdSa{!or~UkSd`<ZS38lw4P0W43-Mg^X
zoR?!Mx{OBnYH(ez!xzaE>j5A2>-%O{w=%CL^?+)Jc1-s4u{m+p!H+yPvJrzPw9;wP
zuSZz#`>X0;C>I!o`+s%tp%E`D^{lD&N~R9>7;=MBr)-RqIrVzIn>ug@!dydAxA)@S
zyXy$dAAbEuo8&@$5nm3pALV&^;HN&h1MXG)bh9Bzpz_)WFJygRgZ;HvsdDLm4g|Bg
z1#4Rk4URYAI5a{fFr#YAb@RMc%I^K@Oe5CUC&&clX5W7(sReX7lS=!)m~!-zyJ2Bq
zP&OK_*`YiXyT>r^YAF$)b0S(jKR+K79BeR{A?NDuJ`bqbO?WZ9!k*FF+q<Q$ZG8Bq
z{^mmb^6JVBh@wAgBV$;UR5iW1tugebxxWpXOr=pt$j&HwI(HWnue`3S8<SU5{33P2
z#-+)1bt}w8StfjOk@z<imwm&oT48`jeeb7$QfFn}u3u^WcGKeZ&K>9FYdZa_xgUX@
zt`v7zwzQC`8c>rW2Df-8>RVe|VYn^5Ya+rCFz2laZyf2oA5{@Z<UZE;v|idPwft-D
zP@ELA_I|fKDy2(QR*WC1%B{DowDwqgy=X{BOtgwkalI~7MaQ?Fu6y-y;^X6!a_K6_
z%HB$si8KXh2#4aqyX&iqp-M-yu(smB-P46ggoG_a=Vh#>J5eR>^XSf%&;+55jN&i2
zH;_JfC}+!7e-P<F$|b)_s^LzNzIOiF4Z*PpAOyA`Jkn9r@kiP2x>5zA^SU6N+8FsB
z%2L&Hr$X{;PA1~{|0ryh;*o>mH)l%cC*s2R4Pfh4ulE)O1pLkJ@o`?UI%TP)^u?af
z*Pq|tC5_g-)b+O8!c(1mSPMI5V>oKwdRcJ%VQX(ac8wH=aa@3(+2vO~6Hch_&EgoL
z)=HfjmG3Pd*NWPhw?qUMv#IjF)oOs|yCNf!w#uj5Ft1hu78xVwH|UHLW2u(98dOyQ
zTp|OVa*cus@^`CYYU=8;($eTe%nA_wjgj1*1Rj6r*7!iRi!B61q0>H}Yn6=)vC<vx
zoxn-$jfvRxPJlYRc0}>e8J~OLXSIe$#&WTZr?pO((={n;DujNCoSmuTg8NisvXhD=
zl`>d1A>%N|5T%p3%o@B?b8o<a?+)0UZk@0s@*TWSO4olywL55{Y6O7YI*uAY;MS}n
z<<NIe3YZ$(%3kM#?9nV3#}`elIa%S<f$rmV>fZVoaa&11j+W3PF@mV~n{&sviEd#R
z(Qlkk#CtxslXz26O@lhDGxOQKl_^FCB;{WLnF0h&-~`bx)wR-(szAvn9VqcIAdyz$
zdccf78*=Bw=<pat|0b}H@aQzq_4E-^gR=JHL!z`<_$iiyxa|C5rY)vIMO*MdX!S1N
zIOPGO(QN<Dfy={_LZ+sSV{)7_1MWvs4PO{00<)LJo-v06{lYK^pIvixtzp!z?NQ|~
zPg4N_m%z$;b)#ucDR=fqpS4MMK3W?3$a`p~v05ap=*LOR&oyr)x_uszKi4lXA!Gl>
z^pSeHJ5^1_ukmq<|IREtL&}YzM^!E6p4`?03i_5l_{$1$|HhFeO-adhI`Q~RzB>%_
z*RZS8iGD(zS!AMLp|6%D&mC$c#`O>Pk!BBrn~9gL?l?4wXljf5p@f=!9OV!N1X@xZ
z)90bbW&vz}QXjmpfV57IZoUvGa7E8;gWc!ieP|hGE6E~qnKVE1g-)uH0;1lnSiEvn
zZQ(VO^eO*O0+WICqTR@zHEz)GxQ74zh)-g8=gFp#w}MzWxBHnsD@UgJ4z%Wz403@B
zEFCpTW}XWEm{#!4KMx&j0C^cFlkL*ekYgK0vtuvFyYK|XJwF{(d~&%^Dq176L3$i%
zq9`A)w0V?j0brrRa^&Be7_}X67?Y%QsfKmR0HN#m;VcKzC|01a0h#TmPNI)C9RzuS
z2s2EnMC&+E35%LE>2KDQw*0^L@gZagBBEP6$M(|*{UMo^i7BAas2vRK6G=%_pgI+6
z)#*1P151Uhg2G||neHsWYj?%OQhhEL=%7b+=j&{#UdI~1S>g(kbxZ)%fF`A$s|uO+
zJa|4{Zre9r`UZjONJ9e>dCdrkh?+|*hFq6o)u^F8h}M;Y#$~%)irx_$gTDmr5a_G0
zUr2ahf`uS=fR1$tP@yM$CCvv0LRm|rKL)(O0A<GKMl@1n{}x!;>00GBOGl=#WH|?i
z2O1h0J;{PGKpVo1>1+uhVe8reuL8uQR=}Bqn8e8?4&5X_J3BkQxDa0UML-|RsP{Yo
zILej+ymFg_Bmiz@3cL*@aY|`oDLp+s*m?EtN0#o#n{q&1N__Z6HDKx6w{Mf~8@T{A
z=(?{l0r;~zUYeuRWO8x51s+}u#p^(G`VV5BdbthF)x`;h{%nIEz-sW^jk!6$$VdP=
zobKtFmTK}O^@h=jr+)p)P*hwDJOIY4{a+@XM|FVKhviEv>JH@3`2>IBa<w538IzN@
zj$82Jzz-j814sxotNEP#x+W`rBmN{zJUnJm(b`5}RFR|<`fc9K7;g)wl6m$F3&@$w
z4<DA+Od1vz062({0vnyv)6+FdElI>LcTw~__t3xr?T%;HcnVqzggt|+^P`Wkv4x&z
z4xkG(bXkDc1(%BdBYvx+3m6-KvOd<sy1KwHA{QLhVd0d7*W=&1H4FFz=tf*zoWo)V
zfoi_)b0C015DX`nS``%nzyQ|#MIx{R23rQGpOJ?r%I9iB4+6%b0QkT#sK4+LKdf{C
z>CUSPvgDnrjXXwh9bhUPw@OE&qobdKaUK{La9SJu_OH!cj82(ZSOxPWQ>PmGI**8w
zG9*5p4B&dq^np5xB99Xr1lAvm)<kHQPo6v>DFYC>7g*=sxZgS&PZo6KPU?LZ5I{gj
zr)QA@%sh5LScCxEj$91$^UXM=B>wOu+qy)lP||@qFAvBkerv3T{x1^nDrYv(uLxb&
z)x*OPNXs!%Q7_Hf?;^*$?Cc&M{yfyR%ge97{^Wgiz6Y#hAL9WXqvW(P0#q*uUzkT=
zP|(;vw%Yj3OIjJ=e3O)xR(&(I)E$q=J3T!;H@l3Cj5I18n1H)!r~W1tXr5|S-V&?M
zPMKsqU@3v~hK4{zMf&_^G!H?L_%1FQSGnxir~%(j9YO~+?ICwRTtym-Hq^hk2@MJP
z3OZ<Wrk)NE@qkI`zQK2NaQLxl!RSzF>9AAr0nDlg4<4K@C)v6J9zoDy@fJiro^$Cv
zmCe2U(c9ZJ3=D?pnCoEaWQ-$55-hS+pjDuGP+L!wg=5gVHsoyrwqPkcE7cINEr^Y`
zPwe7nlRJ>BmOvL8?9Mi7+qaVN*-qDR;x&E)GcFeY#tL4<1o)*)y?Sq_?a4%&sVaLw
zijcCaHvnnYZM$+sR!;5?J9}99j5n1p;J9jPYRm^SFmJ9;>h}&07xSvO=K;0R*4Gya
zMhIzlAyRz*d?R0YOQ7}Y*WvWbSVy|N{(L=gu(l8@L{Ko%EY&Tutq`OTzc~O&$sb!i
zD#(4KW!748>>9|A!CGcZnXIX(0JK9Jx5x43GnP;Mi3-5lMFqMIa6DV7k6rVUlc~=S
z*Hns8vfE(_KfUh!i>&<dqa;Yy&x(Mkg`nafsov)nh)=aM;LfxRJQ!snj2Animhunw
z_Yo~YLPB~dLKszy7=i>|B|PBh{;5?S5lHJE1cqzi$LpN^FGI7}CwK$|g7VGei0*Hz
za$0j3I7>yyn1FYw0BjPN!+`X109}U&O%U(1B{C2p{Lyje!Ehpa2Xr03&7`cMA%j+#
z6_Qm<iOc3#AuKYxjuNQffP8T-yZZc@{u*@aDEwFo_BzD_<Hek=-FEFlAf5MT5NZ#%
zr;^^}RlWz)1WSVa33#8V_mZLrlX!;ak9B)vV8Q^Z1(?TV$r~2n-eEMtWlzr%Q)Phx
zA+JBj2&nGRd@wT=K{s@>B$Gy+=VzYaeRt*ZEk21r+!%b?Y~YNMB8DfLzwa*f+i9Ln
z5{vuthqb-EeM@WW@R>KjR!%#&38Ka`|DV1RgD~Zt#rUTqm@AvY|Ivq?G2JPI1nhNY
zGdstA2th~-v;lEgD*o=?-#@qf&phw_s7Ldp515k#OBqT016j~xFvJYh2!#xV{B+O-
zh4~PK7dY(ck2VR*3BcEwbW1~S(@!W{j~Olks91%aC*cPFMy!Ce!KQt6?RjzILILrT
zN{M(keD2Tw9)$Ayq_TF$+|rKWA$AK(Np5lTKX(Uwq(h>ynw%Uah}*ytv#_zz4RjGX
zdHH62?gFPZWwSt*qlSF!7}@$_%%q**4E>Y77KJn97`@NM&411R82_zKZZ0Bf7RKUf
z_eccg>RvC`-IdT+BceC9?BBA0&3FvE_P|XO&jU0kD5xTtL&m`17(VKwi`UFJ7bgoW
z4yv!V&HCg{^+(~O{`GIEG@G{u`g_{l?1Qx<h?sWwY)<)BtTYDEE7&OWtmc6yT2c~1
zCI_tro)dPhvarKLCn2X*h%elV`TqS7Fi$nhZMOPd%j!=^Hd3`3)|w1!{E@lq56DyK
z>Vgk7=!E&eYKi)!Sw@y=gNkF;jYr%>HDTR-J&f_mRhUDhyl|Ua<dQMDESW=C6ZxQM
z_F$&Z@r}<)D~kgw9$Dk*a6x`U-Q|YY?sLwXeiHNmAr^kn)pk(^VZ3HA<CY+TrC?5A
z&XIie>Xlo59+hoP6vB1*;lty4?<=6s=NG$1>`b<Ux0=BAN6Kk^_Si`_WlISx6wXay
zG?k%7Wc8mU@hgkXC22G?u@{2Ql(h22OjYbF9L0w6?xK4{>TGA?x3eQt;kW8ZU$Kij
zawXQ#;*ki60NOvw;YbV~`yU<3fUby4^SMq0ThcxNfCyXEsD*Y4ZB<lt5vg5!TqUY=
zkp6_Q-mkT5#7v*a^7x@xpzaGOr^ifmmfz0nCf~@rrlhS3H5&%}jM;Tem1ricWcS!N
z*s>+7OU-?pNOB$H=!XUNd%PDrfjs|-Zf!YPVSiQxHYp=MRq;r&+qWNs=@_ujPy5`B
zp}_XrhSl|o5B#$4X0XDVeBjYh`fmS#<xc(=%HOJXXc|lXm~Kg8oP*p%M2fe?5tnfT
zgcpq>yR?XdAnKfR`CHm<_@=fA4O{=x`)a|mb(D70rT3cRWkC%&?+v+iD&Qui>J``d
zLxP8$d<ex_$XgrLx4fKLDu?5V|IVGwX&+UMcEi&B^%e1bJF;S<x0duyqQdWC#YU?l
z!tZm^%tDu*>g8%{|C_B?Rn;vK7?^-g(PCIQ_FPdMc!R*K>jl(v;v?HsiFx7FMEU6v
z>hr4wgTPJ1;Fi6L^(@RW;~TcWYXe(FLT{G3ui>29%Jgcb&VZZTNfc~3D#I74I*3RH
zNNS70yCR~ZdnYGmfc^j`RRVEwaYG}c?u|OYsYBS+3w(o#Sc<^*XbFV-&Y0LZI)#bG
z_(uwrtLM^6M1G%&H@^PA{lcL^0^`M0b3PtiBGhYPujy_=q2V`69}*@9sws9=rGX1r
zn&`k((XioC4ngCr9w%<i0G((BeO{V>379-`@{CZW@wZ_yk!v-h%sL2$=Qq(ax4z;A
z<e0-PtuyoL&}_iG08_SljVlju<01U2z`V*0+*ju(J4!$jVWY_ta9EU$j)?)uglum6
z0>!LMPp)YV@)g9KlI%%5X7kxYDc)0%gukJn)c`ESEhkH?ElRbQa-8dJx42aY3cGKi
zdPvlh;$h1z7CBpDStI|rzHQJ5^+5#HIKU}ke+C&!M&@{5`XK=JF@Od^`H+^@2h?;R
zHet*j^og^8GKtThKab<LSu(kw4kKzl0J|H4mqu>}*BsP4|9*S|98SuCLi_;(JltH^
zIAhBzLd~~M-5Ne}Dq_LH`40S8gd4-2mmRp<yd4PQAmHD^pMAMg|CYEgyu<4l->%Q{
z9%pfVYTu;HH6b>SpCZ-^fSy3?O35!M_z)I`!>o`1X#j?|3Q&w9;Ji-E91{!znApvw
zBMw;#-NIn(GTDBwb>Hwg6am73YJSVsSl)F@)P#+fQeR)bLL86bGKDIwnw-{R0~9PM
zj@e&Yxt*}ha;c3IMl$5hceU+$izn1JAGeI~2JheUA)g@4!*;QB1xqzAadW)Hg2=?g
zWGQB-+<f3IozLY!=gZ*qWU)k<WnO>Qu3maj15|DDt=(rK{?Yc*VYU&fju(d7<(@9s
z)T}pXZo(T*8{b9x4DUS&4f>^m?r)tig_~=jBt{(fB#4Xe2nsdcZl^Z9fV*Ht#5a(L
z^-qq%5k?(;zg-6x0cBK-P%F_VjFhhzG;k21V-{F{0i*#{Yh1c7C!;$b`Ihx@nvI5*
ztE!jXq_3DiynbDiB=a%8RZ$6v-sSp+@$(QwCV-V;UKs~H2+Iyij4P2NT}DUXa(mP0
z0?dJIB|hPI71UtorA3PEYgbLKj+s1DDm+Mhb8p=2W;G{9OL=$49QybjcsSyiXXk_$
z%P&6NFVD}sdXrS3$*~B#@hNe$<bg<C6z^6sAg5==$1whJ*+o?$Tx}$2BQ(2s7ATK3
z8sQYak@-5$VrU-;u>D)1)NSC(E1#bdi5_CXQ*qy<m$t3n-(T2>AE?+!OD6v}0sAcw
zu%n^OOv(iwjKVR52+|2fUKjcEQm#rzsyz{$3x{!W<Ss-pO(3jsF*y6Bk=c9pe_oma
z4>)M&qsK+-o3=}RF6tnsQcz}S+x==2TEAX%;Ul)d*1x4)u=LdbNoij%{B_@<*U^(_
zN+gBQeQL8n<whM1?9=_Wtj>v|YQ>Y^tU&gV&Z|m9{hGZGD=RC==Hh^a3En6HM8Bzh
zG;Gq_goIB)I>}YDi>&8;#<aJ$2Y7*-f}E58=(x?VJ*EsL<p4DS{wFg&X+UBGgsu6&
zS2PGPaUkh~Nm>JJyAgu=V1q-K?93DTRpf#(Pgfl~3mbq?!%IRB<HeUBudA}im=fKL
z<)XS+G?%BFzRJ1A;9=YlV4(6*3c`nW<bj<n0|}H}P^)Ar%mE`V0KKugweGQ87ncWp
zXRGOv0<OFCRQy)6z#P01B|~cfv{Zn|a%-l+9^MEt?T+s51#q3|-h3;&W=Rn6#3-w%
zxNYQ?yPhq@V`5_)wPIahY*GtD!+?Se=wzDTOa`vsd!CUf)nFZp8apfxwVx{s;*;&|
zJ{6I*Y$Lp`1H_uR=MvvG$Q4RYW(;<@hsVnh8Rn!$djw5qZ!d7_#>WQ&J^<)jz{xiN
zYAPWAC|;kYs{Xy@_pz(103eg0CK&j%ivaX21E~VI)sg$tW$*#yptb|kJP)YA0pGvh
zL(l^<k$DB40Hzq5n(EqJ)zpYo0bA=@JZ6qsex_MpDk7l=N-I)<*98=?C>kCZ^om)=
zYBXy+TQ)^vat0flefLB)9<OyGm%*;XHe1=&#I|f8Hi{lGFrxPdS$&zjhNBpK8-wVO
zK54Op8Mm<N2V`~&UG+qk+YSR)rJKWkAob|Ckz{yu!<Y1hO&6VhaUFJfwvjlQ$P@Wx
z2KM!+R1K;Bd^~6MaF@FYy~R;&1bMql({~_eJ;K}Qn2WhWo(hMV(PcYXDQ3)WqRzub
zzvsGD@)CY*{oVF}IqZB%LgdPeYiALWKnuLEw7k#5!?ToMTvP=953#DvM@F$epayJ$
z-R2liwKKrt?u3Md2rdi2an#QMBLhHz(3uf983HVStzZV+yMNyh7y<rp5-=e#Ap(L?
zKATAa(81=D6+D3ZSXu&%7I5Ya0O*CCM|Jx)qT~wr%FO~y06PJIcnF>MsUKI}>D#w&
zk-<D4D=?5aizk>r|G4=B#n1XFW{`Q~_Dx=Pfz_ywDiJw6x?%M;#L$MPc)9S=8NKOU
z8SgY~w)M8U&GWt!_8JGir0YF8beI=%ecThWsr<nFN4@h#r#r($r-mIdsFG!O?Wa|&
z&Q^RhetENRWZfiP7t`JOE^)Ws^N1)(?*_lJbItQMZ#2H4v>~gYPVPc+oQ6OJRQQgU
zFw*V8d?FU;4oilu%)~}ria?PC*|)QR;qg=i=->sGO^jl=0`Ojgl^r``0iY_2VlreF
z<RW|)gDo~^|K16nEMWguN&M<#PmjX&LD~(s^ZKjbT*+9pkyiOgBrAucq;}(3t*y`X
znHeAk)s}=(Q&X2j-}I6FD_;{w8XOTZas>~+2Y-#>`4$;+Pb5LjKx6JpdYMpTne8oJ
zQuY;BQ%=>;Zz6D~*>>y8eG|%&2iVo5`SYt~)C~DMuMM<Tc*(<m`plsyl98&Ysz3dO
zTPp|}>>;Mqs%d)Xq&oa^zgK8{a<IOw-BtgHw0cqXyqhkbrC#%Rt>gNkmSqh-h<Q;}
zPMM<(|0T&X+TM-<)M;cC6hW}7gVhUM5eVDNix;=S%1$pS`3MrKhLKQq;Boa$PENk>
z!3@YoAS?Vs^^CYy1A9dlm`A|#4_UX~ut7`@DK{3RUF(-TF`E;U$GN%#1QU<mWjXld
zyjb}qc2RU$TmL%8Y!m>C5TBVxzIw9UXDhaBEA-xX9;RJ+-K_VPtioyYAB!WWOTe#Y
z9wyX?>|$dwfZ;v%sjqCiK$M2tzX!<&F#18v|1a-COhz^YDqawl33;ws)COQ*Se>eV
z1WekC12S|>z=;Zi=s=bdolW%?KdsNDeFUAjBA^K?&)0Jhjyy2IA(sGj0AAFLCNoI3
zRyAe1e4@;{*@}PS>T=80r+T&QWNV^5jDojoWs~qEJ&R|=j|g7xupjR)iM!S7ci=7{
zHPxRKQ%}9vl6M7B=OAfEePrnzF!knUm+jQLxs|s^HMDixx$&B@WOI0~#`<BF{!P@g
z4ZV<>T#o`x_LBOQKI(G|4AszptDN%wZJ6Zcr$<ZuO2V8T6No+3d8;SzD>elnT-j8A
z(gWHNc#r^}*cD%D1&;<<HZu1g<A3?~kdk;W_*kozd0)9#BT6#BWPj)D>q|)s!i<N|
zLCfSpsr5u0lYAVczs~DI-n(DM-X2gzVF(oyN;I|tyf9fxX_T$(M}h9p;i!_V8J6WT
zB&UiUcMz@iaCXzLynL9KN02g@YSosiI6TT&E<f3jD@cE}U6&a;CfGciiHxUi-u@=u
z4-{vD(W3@^K0<!_)Ln5Xqeo#boA=z@0w2~JC|t=;WVcy$e8z+3LT$nwxaEoyk56>l
zzZ?mJD(2ds)(B73FATsDGw|>f!pi7~iCbm>YbG>N7Zg;zKKKnA)W?zK#wR3n0G3!z
zLBSYQ7%$a2ko`MOY3aZZWRC+t7O2A0qXu-(ddGCWk6~*N+3NmkZ;Mh5i7#Ukw9v2x
zd#UpaHkfq7C6(XA)#~@u6t~2m?w`i9o*s2Dwc9!LA=Oo1NL}yVY=7;Wp<Db_H=};k
zzp;2FMsS_lrxILO$W?Be7z*U~X4t|HQ903u>zzkLXDhm!de$4YWj;rwHON#JbwE8s
z9F<nDkLn&$h9d|=z|`Mg5!Eg<lnN-~t#trP?~NK57bw{4LK^ieE<b<MeOZ))x20EG
z+0`;Kzm5Ouo|fobc=!0I->+N{8H=8}**FM+C>fil;=rDk|6W`rcZ<r~=V@zYXF=H6
z%m<#Er2WwVjL3cOj^6m&rHI%V6x8u8+sf7GIoLo5$jH=kCWu!Cxuvt?GHDnJKBne5
zJ@xwMMFDhuDq5}Gfy?UCUjMonYssTtqwfcXZtmVOk$8eaD6N|6J+5A^rd12WD{O35
z!Iv)<uKsxd7&{UsaHaAAqjS|2iOci+p{+lE86fD_LndIn>*NafNd$wtD9{6&$iMi0
z5QR)J&d6=~_OQB{Efi4D1TX({&tJ*^qhb|v7^gipMNDt<cvMJZGm(EMN?HLMCJj$Y
z1E+s7&8I&%6ZilMjwWt_uir)PuZir?hZ}lCT{VS&OcC1NL=ZTLqs0#tiIp229%jO4
z?bSo}S;y0sHtqg7_xB_#=i=_Z3(q;)Jkj{bzc5~vl0`Wg8SlVa1$iT|keU1=pa3kb
zUgeZs44n4!qXBXmGw^r4Cz8qq7iNZ;o_?KN{r|$K4PX2>#UIbKnd!J}PHjl*dXsja
z^vGtl&>uhD@l1_trgedmE1DEGmDe}5SKnC>NWkgO5u7B&)p?stlj0#KYAoDG6)~pk
zg85b}{j-uIH+eEuQpdM(FG8_#TsH53uMf<pZrOyq6A$!{?1T>lYkx9gDlo=pzgn__
zCr!-7-K%J7w*b`Nt%B=<++O>(EAa-7C~kU5Yx8U!!0;Twgm((8;133ehSvJOpg=%9
z7D(zqLSa5tRjM-oEWwrP>;i9Lq9$17n9HGVh%}+7@z`Mamby2WULjrG842wg#HG~U
z^xbx&Wx!~8<6EnXgUbcm-R3(LqFA&W-yglPr(wfyh!KZJFPY`7^bqZqKi`FO?V54{
zuFf)uVYqCEc(NKDj|3iHACDP&(y%#wdt!_gn85g49idH|H2NZ0DK*#Jmrmq)Z_xVg
zj&TuX2fK@h+5dlQ{D1W4Y{1RZS^*OY40A%^tQC%Y1}O9J{WhNsCvk>&L)|z~mSHAd
z@OBG@y<w(&d|DyHv<_CvRP}lP;BwC9)G)sp!9-zT&1O5lFfFZ5^{G#Wd-ud0656Aw
zvWdi@2Zr9)Kwpe+0;YXs`PL<X<;zE?OPH!=t*R+tW#ZT6_+pbwy9F)b!yCqGrl!o*
zE<2{DyK^LQTT|7eobXbEW_0h%JsGe~tn)GZcgpU>-!w(WOt&gKR4JY?DeGi$koh=r
ze|_{}yueOv_>m&Y?vt`DiFjGB^1JQOn~MG=%hnOzlA=XFS+C;jTgGW6N|UMG$kd$g
z7q241o&g?{bgRlWKR2LylgNPK;miF0lsvo7$+?X9`vL=Br4o9V<)@V%KZbxzo}_Ey
zclk#h)P#nv!jCb@#c{WN3+#bknuHt-P|y=P#k>x`9$gxG447(mF<A>k&%X`Ve*k_U
zV&jaFt}^OQ79qbfUZ0;u5oo8!@eDN=7ME>H5BM#g2A<#pLJZ3|1@$H_SJ3O{dKCkV
z^gx+Xj39;Q70>pFVE~>FZFAucnIQLrDEZO-yfr?m^IPZ(0W6=2<5HHdHL&3)ZK8N#
z3K>wR%dz8Lf55e+<;V;5IX9SRECgn8lmFO$<M{dZCrOvg(@`7@wB>8<D^OF!SuYH&
z-TqU$|L-`qk1W*)nM68_{E4x#aY`G}ZFuz9%h7`EGc@Nax+r-Q?$@?YQ`Sdfx^%kE
zcwJqG4em0OHtX;Icrfr<S824k0s?3Nb*|}qBS*k(rH-E7E=8oX<ScsVCS@sucqAE_
zjDi9V5cQgdhKPK8e1N&C7i@id2M3J6j|Q+FkObRju8+&Rr~5i%SlBqk6UzL#Y!j5P
ztAH11&w3;wX`}|vccA&58Ka)fj8OcdJ(oQgj(8dgi4XrpwMj&5L#bZ#+Wo34O5X%#
z<`FV7VRlXz71Pp`m2?u}x8s<H@6tVrcYluRu>>_N9u-`UhT>D4LI;GM%+Di?-V#<S
zq+KEReN)qE*WcIQ7cJ*KZk?bZjFGioN3eE=rAzA{VUAN3_GpWw+OF%U5L?E}DlgIS
zb?3OI(u(t=8q;3N^W!a#y^z@NqjatR6<^0g8ICYkZ%vdFk&s9Mb2Jdc79xEv8E1f^
zpW9x1aX@!kaw6dwcPfy^BnJD`KK-@ib5I{4-AXxbVriXt)Vk$7nt$_;YyUFja%sW)
z3@6498hWG3TIK@CeGLfi4KQ)eEq4Ixk@ROB`V!mu&%TnDv!7n<^1k+p<fqU#uV{XX
z@bOI%A{<G#w8<g}b(G(%U$qzh=SBUu7F3i(TLG@?N)`1OD>lQ=)hwOg$gf}i^d>L+
zNWBY7{@z%c+O>-3BC2{W@n+wU@zJ~!e(RHhzJQzW)o9H}xipl~T9gDR*2wp7xJ^(Q
zE)5j4WMr5e+~)oDPtj603|rz#QV8*f$=B}9JBiVLAhx}@x|Bce*^m()pJtPiY$>#f
zcn5pVHTm9V4*R54NZ_9R8xXvm>zbOL0wr}bwPlqZL%Dn(Y%FGhcaX=X>8Cd^P$V|f
zoaW8mR)3u<O<lKsMFswJO#OLNIKiwl?Cg+lye|CH5E(Mxuy4gJf27n+9Q^V?dfN*V
zoutNO@AYA(JQF+e%UX;U)baShM{n13=J=27ND1t*Y>8?Hy7>oNR+3kO5^%~qPCTv-
zP2T<DjNiCh0W^Q$qvlN594|JDG(sT^?D~(Er|tw1U)~fWt(g<%y4;E4qecOdPbHAg
zy(;p%w{AH|kKqjsl3hbds5#%h@uBOyIHGGDUAi9JD2FH|Ot!|+lka}Z-OPFOxo}y8
zl+2i~;X8Q+FQvP;0o%n6z4>rQB@lY@>Nvng*&$}(A#OE~Rv11k@lvt{?kTEo$l^+m
zS4LO-{M&6J^*!uIQRA}?bbcO(tA4}oQHf5i)^4RinN!#~-0tpCJZ=y*oJzX%aykfl
zdN8yvzaVFaf>`y-&pYN&SUJNpr{NSw4?ETYraag}a%u=Dh|1w5x1#$D+nED2FKn~}
zrRt$0lz4ud@4K9Kh??C!X(cUHP-f*f#b}jltiWHqLbp)(kr?U4|E=$T7oC9s5#Ye}
zMUZ%k8C>nc8MxB<#X1RJ)3g;f4~adS7X)fN@gRj<KN$cs$Ic{`tX|)vG55PJ0pv^m
zK<VeqTHF=GV^4jOQ&_y&C3=~J++T6=0$7Af+1?CZxnudj*T)_sd@0~)nM2gp8?thk
z_PsGOzlw(^cwTMA#gZhW&Vou_U_3Gq)d~4lLhgGBD*em*8591wOmZ?MGmkVry4>N8
zlt+0K?}ZqoNm?Q6w1M+2Mws!+P%!v=PTUVIpZ;RJ$^1Dhkf?GKG*C^T+uMX$X%Zci
z{-=&PswxxEo*zwvjV$5>M)G>Z^Y9_|T=}^##J6LQ@PhwZy#Eh-?*SB5o2~ygqM)Ln
zBA}8~KqMQ;QALp;L86jT$vNjF0tzCMk*t8^oO4n^5KvN+bA~3zCjHk|XT~{mX6Bq*
z=l<)~t<zN&d{7_Vy?gKdzUx`f^INm{|D`xGY$pG2X8A>h9}X0%fh-AyHQ2>j?d<KB
zo4JO%JJZsQxg6H?zz49rv7xiSyA76)6k~7~$2j~o`M<rqX|?f#uLXQa;5v8@5r%}1
zAA4C4_3%8q-YIB&j3KudL_J&@shjUFY0n&dd79=?wx+vU&u<Cw5yUIls&;SuCC6ey
zBnlr+0#2G#A0cAY0JD+2sMYNW<1*b?=g`hHrJK+QLU;kUfQ^xI0H3@5Ft5!#ID<{L
z=RmUqBgnOLCl2G|18{)I?d!ADC5+mCi3lLyS%|x}Jrz5H&Z36IVQTh*XRnRs5UEjv
zaT!E(zzYeU0qEJ3)~-Of1019FHS1tW085jhJ^7C6-$cT)-2>g<4yO&mTM6!fl1p%x
z`1=Hmjdh{PK;uZAw|-wC=3bHQ-a0x6`l0YS5D9KwL_sw~;^2wsbfTEDM|~#H8-nAI
z4gRV^qaN7|V`XMib-R%xuo~kh8{58DxB8{9DfH+N9zCkLy)v-|e%{*L>1jPgrUQRi
zHJOGJSb1=umuA$Rjg!`?OkaO_G!r>`aj*sTfJQNRMnG91=;AXUJxnC9b_y)?QU!&4
zmXi+(O@~@QszPiUEcbpo1r<_E`ZD#~KY~+ze=SKU2MjF+#(V%U19y7#^z^i{PnST{
zknh4@O-5rgGmizaBTnz%zlSpnr!dA!*P-X${rh<!;VSzmCusdVNW80l9e-*_Al6zy
zV|KOQvK6pI${85!*4FUcoP?(4#U!cdLl^1klawoJk!yK;MLx+`Nk-<@<HzSU=Ws|#
zNUVQgT(C1qK%X#&KM@v|VytWF!d439?}}C|2jbHL72N}L<hU5C%VEOOfC}J)BXsuc
zSyUm<G3Y7s5mF1Ds7`;JcNBDN$PGbwB>=ott6<qN-`z5oisG*EWvguXE&jj<07e-+
z#8L#A)Y1H>h*3a48Is@Hy1Iy93S76D!3sVlHER-lLW<;E<4w@l&ybROfsGD~K9J=p
zsVTzzoloe;Klp@FE&AZh0`cU$(?*YO0ZFE)2ee#7ai4KUf-R0rRnTf$Mlt=-Z8(oW
zi2-XK1a90O#*17x=(t*@4ZUXF-K}LCZMdu^1|1hO?1z!Nv}{dcKBg;61868vawrsH
zTGo#9DG8hQL2n$PddOcj?JHzK8V_;KI~#Bws<zqq`uakg>_nb!Yhh%yAU(aepfk4P
zs!o8H2zXFZhId7zBmw*2SWqf}6!s~C1sIBWxVwPIY3#!~SQ`<qIhbh5K@np&?0OB|
zk?-k`Z-PMl#d&i8zZ##~=@tm7U{VBsU`}QonK{#6$%*p93Ki3@MQFeTb>-&Gyhfg8
zc*hUl&p%i!1=*!H1a#`?OtrEn*UqsD=>_2Z44@$|B0yQDXX#7COJ83aR@O|#B8Ik8
z)B3NG1AsjK1!)B`Nb6EA49}v?S}LC&su^nM*+D{V$e)am%axdoPA9(R;%B+BXF?5K
zl|R@N?5`jGUT5z93x*_5*(VlQNG%QSGvX0R18vHwHj~!slhvWJ6Baglzh2$t(Oa`%
zcA<eELo_#OwcLZ<2Xk+OfJ@e9w)hWI3IsFz-~4Eg)bXg-VrWd#a}E8&^z!qUiN$a0
znub14lf9JIQ~85OF@ED~W?<kMQ2CA$5!Iv7VGxB23=Q?F(bNR{U<;x2th)x;l>irA
zV$LCAv6_Y0SMOGiT&cSC2k&D13~`4_hN4Ny1Zi7aTR5*Z(qCX!Eq<$2=Y<1qkKyb`
z*h=ihhjrK|3<7HEp%$&o7D4Tlq#p9DfA9kpnbP-8k}mS7Y!peFS<-&Gx=7Eew<)&u
zj3{03Xc7xl)iwf~CWLq%dGW+0?Dak)RaMnWJHwBT<*#{wP3G;jCG%IL?_P38d^T_-
z+O=x!$$hLc94e}ZSxisvZ}*~E`nr&p6)WMbLNn5MMe4ZdU4u__5sLpZFT@@beV|^`
z`_+=7R64*n=aJTzD_hcp=UT-MG50(*yeRpq$T|6pIZ4w-ZHHC$@z9|r@WgE5kCZAd
zSse-onjcw!^`V6WoHwChpOHPG@}~BK+LEH_(G?qYr^~VjQH9mPC$mSDc1F0V7jo&e
zKiYcUelJDPYWyf;3CsEDt+8uN)z%Tgog-8j0DhS(+g-MJ_fHTJOgC->GG&zqZf)5i
zXdUqNMU!N{l!NSzgq1tXvbEQd>_hEsT9z@yhloo~0NA0!uh6i^LTdZn&_NLq>GU@7
z=w<Q7;RBZ!V{{u6x+a~DQnd#vQ%itcjM+g;seB-qA0j}!Emty%*4;uQww<yNMnn;h
zde3noDhuFC$jbdEcAEn7+G4xqC!o!UNlQ;bee^W?^I2y(p@r@ZDy~e2kQUd9V;(7k
zu_ES{kPox90k=i9cUf8{jjV=K{@kdwU_+tv9E<Fba~ZV@Q|`ejYgU5n{iE~z3k}J4
z69kzU)36oaeKPL1)f@D6zU(yESxHZQGb&<aOnBOyW!>f6)BhM6D!8Gc^bdML-z4+X
zfmMR5jeKHeQ+n7c9-N>eGIEXG>@ViUW&b)bBx|Ux@@Aa4=UpM&p1d|C!O}$LA@zlU
zj_bEMPEiW69;)u^tN$8M9JaAYSv{_?Uf_^_IKq12zLrh|5*{jznG@N1afE%ro*1v)
zGg3`4&C}i0K6EH_x7j`5m8f%Pa{Rk#-BhZSCpe@gTOmnVJ{AvTOd3{wj%GSp>LTO{
zB5&p`_T!%%N;|H*zv?)nWZL%_U=qzX6^nsqe<S~v8UKp>dlEJePT{g?Fdq`}FQGsH
zP7AVI;avPU-Eb^hnP<h4lU!r}WimOo<7?&J)TZePl?(?wY00BBnKi=-6<p)9>N}TP
zo~^A^Y!Q<%E505qjk)*fW3Mq^1yPr1L2F*k%Nk*f-f1P-MMoQGzMcjfJEUE};QI-J
zu+a3&GanP#-Q9iZ=XV5YE7JoB5Bfe}`luEr68Kbgu($Zrztf0c_S?Uc;-KwYFzb>f
z%L+US(t)gUy^1v&xZ&a+O1*1gaU9WWZ6(J^>I#OsTRW`<aZjDsd*W=KQ#WdGwA5K=
zr|8jCf#SfsL+|KYTJ+`5<7PWIbLGqMRdpeFiY(K-lR+sf4xI1o=C+fz+IOURm|^{@
z+L)}%UQ7i~PpKCdo!aJnlcL#$GgZ$6eXXdDZFoI@dVh^p&zvW7u<%#bXrsdJvv>zs
zm8htwnAOX}!5A#!Pu2Y581cCq&yIqbJ;`#a<(yxkFx*@5;cSQm^RF9+;p`QaGd%fR
zF*q(Lc0b>^rl&>OQv_)8jVlXu4di(F=~$xP<NXvfNYy`$$N;z^ai#<S0|>j8zW$lG
zXrJnujI;uAz>w#TaM5sTpAG4-j-O`wX(6Iw*7Dg^BLG&E+u^I7PSN-yh7>D<of0|_
z17-#eVy=PC%SYI@gY{o<cS#s-8gsOvO!d0~>NgiZPwRhJ8or)Omi4S%XkU(g=S<1j
z12mNj?}_asrj4Z=C`@FvUq<xlcMXX<mc^J?zL6`8SB|~LTe?}J(Z@%}9w0%wK=ib)
z*6|%l*!gU=F==Z&>Y#WU;sES?&Kt8$Z~>+5;*bqQ)@agwHJp#J$;Mu!NEyF<S>$3H
zwTZut$g|6`#H<1Hyc$|sm!S0m3`HC_4}78<PFrSBoL^;Piih1uIb_?da~HEr96m}F
zGRewiT&Qu}8#awJ63e>Df8tsK3IE_RC)E`;^$VBTh<EdnFy=!V^PX*%%CXD03qRd@
z=C(RYTp~}TdQ7sy=vY?#6hATjHzF#NEOoWZvJd;dTuWm6)_+21Dw<{UMlJAavnZ?M
z2mRYq4kC7H9i5SNVB~ubThD7el^e^iq#$hEaq8aqjpFh9L%&EAih?}OR#xm_v9Pj`
zA3d5RJsGh5P1DEXrs&qyA(NivlNvb(b-LHFc&E0PcI=My3G(~{VWaNuR^9yIl7t}e
zE+niz<KHH3PGVqfK;vGqb@v|C{H|1(`x)1GDBGv_f(Oom5pI#l?N&A;ZLsRH-o9{w
z<}z8=!sZKfW>6uuG>z3s#g)Xuf;A7cLv7ZP?7i>|wDHtMy~zloY~s_Z>^+@ej7aZF
z)u}pVtG#kE4wKi^vp$+Z5=yycbp`X0POe<Y*F!?*j7zH_iUK=I&2E6M`|+Mv!O*qO
z|0SQ^y!D1HUFoOJ=stov66%+r9-OAs+zBWpnbigF5jyEj7TA)gV(bndR;c_o?*5|*
zADlwmA@A_2XLg@P3EH1qoD3j*E&F@R6a{W(bMmfSS#bE=*)Qyj64a0E9xl>0HTzuP
zYHsoDFB_w)urcgAT4s2m=cei8^rr99NmGB=<b0^;Tk@4M``ZTUA}bF7*R*&0HtB2}
zZY0@!G`DECJxkpyyzFjtBS~FCt3^j@ikePm1?;~JzyG*361?UC_Yp&PML@LJs~3aU
zLqI{uFW0|Z<+4Sw4Q{Cugfye>Mb{m6%qIXsnmtu;{ly?h^Vfjiy(dvM*deM)l}#yi
zS8SL9LH2uJEFLtxq8q9zHR>P!wla%4$MGP>@Sl%=;iQhpgWcx;7ugo0`>YeIjeDCz
zt-yXjg3BRF>N#nfok|+Z^Ledj!14jNdTBkqt0<^_E`lW)To1|x1{2>43;v^;;9GVc
z3`yXi0uxC%h|Fc$VAJIRV?Lwn-b_;L87eAuEpl+mBEqY*;P#6!4VUw7|3Ml+L5kxx
zKp7~hB=;1eS1AB#8^K}t2+}(u@d4oc?dx=0ZRSFvB2bwPXA}({`U`DgQz_bJ4Jvxj
zJRtjU9uOK(V`FBUAu0ux9fAcxoImROu!->iV_tBT&9gq`pNNa;?i`wul9Hb>g{9?X
zh6Ba1vc<}Hs7B8Dk(f5c#1t|cxwr^M^I9Lec;m(ygjHDShl7g;U8~$u{?`s!sjE&4
zB`c7;I`}g4+OpLW7G|7iIi$?cKbLB7AN&JlyOyF*_cGEVqBJ}QM1u$+A%%nZb)Z;P
z-7h&p(O0Mlq=rv8;KPFYis3ib@b30piRIJ{I4lI2LSQXLm=M52Y;0mCB|!XWz?{In
z2(U<~sk&~jWsW_W+D2YHtXdS@W^Ql@lpeW$kGqXv4OOi>72JMNA=pnS6vY3|+@R7F
zGe)<T$NnMBgfL26x0^KPXL)jsGXR(`O8IxdM5c^9lL20czxn(7w;n0Vg9IH^4|Y(x
zH#I>uQoOg(2Nsu1OtzYob<53aFzWY!MH7yS6GVteLR}$w!~8h+1sF!V)UtnGx9fMU
zdw&407V<$i03V5p;4(ESa)N5V-)XfOv8iof`s9F14Amx_s>yRpY@!gCeA$8MSJ$;0
zgO5)@-7-Etj)D#xX(*dU3)q~%rLGIkFr-Q^Hv#{`;NTzx<JyxS(o}O+DM4zhJxQ7^
zD=a8T7<?RaTQ6smW}~K{o`UoZ3T#m3p5vqMR^jVYkOADioTU)m^3$F|66MJy5I1m^
z&{g{(NS-6p1d>32>bSzf;)gI#1ROWsMn^Xnpw*iofyCpmb``2<YrS9R96ds_i;F|K
zA;}xWlLdu!6S11Vz{WWcutpIs6=X*sl?J~*fueF=dstgr3nJDDD*kY2*Z}eC+uKXR
zQ5O8`oh4H|@Qje)0_-Q8H(KyvBcD9f<<}sS0~B}>ScUOC-aECq{yryPwiw?J3k|(t
zx1{;t3USe(0~45efJ%-KctI|MXF@_z&@39Or*=JT6l)DwUOetXW8-Y)3`OtxuSY0<
z+Oy@qnKe$F&$YV1QmQdCf9<Y;LQ$*HK_<Dw%v=kwE5Co2fj4DH7Ye2Q4c(R~arzQl
z>lWVD1t%#cxu8|%&ZJeu_4!7oozpu{C=1jYFEBIYf=~vZmZjK^Y%5qG=+AQ)$Y+=U
zUjzYBmiR_Q>HdBb$*S9{;&of85TgC{xN!KtJ;vdC`?<vbXXb*RamrurfdAsWiDR>$
z|L<r8|2`n|@}DXRXDku;_&=8cmcqf{iF-_XP)ajWMrw*IcOs*;hj-^DVA6E=O0T`b
zjeSrzJmM#9=lC~+LS%0cQS1WG4)$|1hyr)<xtT6+T4kStjK#)!haX@>csY-F)IdB&
zbWg#+eQ~31s;b)b-uF)g`)3JVPaL5R)7ysLLdUm}%a5>4J?J2G-4Xx+47iQ;!t9z{
zr=o2E4SRlOX2xpzI}Qq5eDd;VK@7|{8R&h#{9<GAPFC2$)AhQ8aq!ggJ5}hP?fUlq
zy6C<4wt~`4TK;@|C-hN*J;o9y(T0%BvE$<Jg`L<~RB?ZEBkocMFSjudWXRZ@a>y25
z7Dmr`t>~~^?zBulNA<w-HF4nx0V$mDLWdSHFNz$5C4}hlVf!KL-R9zPzdbH_-l%6q
zV`NUXSdil5Cyx}I{P$}AIUX`CIr$|lvaxViYfF)%M`*0PzVsun`g+!8ljb!l&Kth-
zY}>u_MteRZZx0UB^4O*DlJn`^E-l<a{`T5T>Ab@)s{0>o9J5=YSNV{ZyIQVC=9J%e
z9w|XL#(5j~wRZNt?Tvn`sv@nf6MFtxxhDcHyi8M99R6HVpQiby*78l~O0vlXD<{<!
znZ+PAu<gwcRz!lvt@NnSc5!g!8Jbv{A4&4^*)BW-NuK{;cNK;L{4{9x4LjZ=_HsVB
zP-N^7=DsNO%GGX_w+CQwY^!;xmF5>*vuHS0f0*<|S}4SdO=;hLCz$Wkun0Y{_2FDq
z&5|SCAw((O6z78BYQkk1#H9;O?fXt(tMI_9BpzHA*SWaJ+$NhbL1KJ1^Pn1gzj$$Y
zWp(wPkgFibsdY;`;i04~%JPoXkSz=j4hF$<>_;&Dp`G3kdk*~<HF~t8rBuvSPcL}h
zf78BKl5-;bW<YD!JG&HbbR4iGuk5V-@a<al#oUY3XRxM}O2j*HP3~>LY_PM$p6=Rm
zQr&YJg{~abjQud0IXE{+0Ubi%8(Bu}?-s{6x2t%#hSEVUykhY7!;-2$xRa64qSiCt
zk<UE0aTqUt=DBsccG7tsXQ~oYq2cNVxLHxe4+s^F4O}j5<fWImls^^QFtnE8@uAd-
zw8^uwwzT+f0FgX3x^zV**elV3NDc4&SG02yTqcPSQv?$t1dr9|mxCw!E+qF2s)_7Z
z4qatp)~b8$dDzyctz1p&ET6!=Rco>6n^^W#7q!J%bcoOE!Olqe`sp!^`hb@&)2?B+
zJl043o(yoos;2fXb(_kTA=Xe;0SO2FYZn0o)c`he52g^XRji#sbZHQ+=$V*&tE+v5
z{1*Sr@#HWufxCKtP*}6G`<+C{KQ$1j%vQCNo?9b{;#IR2peCl+rz4Ifuw{MgTRg$n
zN6f}%lQd9@CBMVoW0f(pu_NpWQg$@?%gA=1iBMy_!Z^V<ptmyoBd2J&+P8@3%2n8E
z;9uAjFcNeaxwNOdyY!hp-+2D*TZ3mmb3J{Vqa;iZLF=%$v&#mN3)27R1RU6brlAS6
zt+mCWSiqJ6a9e+%lmpa(e)D=t6r|=oAZedtsXOqkJoNej`REr7Zw<X`K&(6yQyg6<
zq-)8zX%-D3sabp?niIw+6$HvZ9o^-jper@dvwH^YN}BJh#}O)^g>Y?k+69(Aa*CZ(
zNc6zFgdunKZrEwPp~GRKR-N({(l$5{|Nci<CFEPUKzB#>pU??G0cq_k>?Q#TlM-ad
zS(OvqzsPxGEt0H6yN++G;OJ%hehKSbHc%2o>TlhQZ8VJ$iF?KM+IVg{xxe*f#(Oo*
ziC6b%hP9s`7%omDnjFE}bNsQ?%$qmxYWrQsy<Wa#mqEX{?Ibf{tcR<~UL8*fJXy=)
zySZ~to}QlIUI8x)YS3Yh1!-zQ`1})$;b;LG8N_|X1`cZ$<ho$1wzJ2$1?R7YE`Di|
z&teV0`|ytF8-~C&`B|}H*u}nF(#kjfO#@pF)hZQQw?sd4%}t~1%D6spx|t^29dGOJ
z#EY3d>>jf*;c~@pSbVF>m$nYBA=P(Dr_~pa2`l#iM#TU_WV-RO=0Ts_;?#WVH`uO#
z#*imr16`^hKnj${eY&(#l%X@^=<iV@+CEsPZ$9>Pq6y~w<ZNQRvx7<7pG?zi6)j3^
z44EAAJ<_U^@iHPC<stU8DPi)??r?@+_6{vFDqybTY_F=5&#jWf?&<*dG>bdsf;}nD
z@;&pqmEIw*)GvWPq8>Ju!Nv{SMBc;8u}0cMyQiI0b338$W}&~!KU^YIU56Q|7nU({
z=fo*wn<SSd@1+~sK)U}5#GklC)mc91Z`Lxtj!}R1fU25Ac!AB;pl_cjmTq>LXnD!>
zkXvH0+cdpkP2MuexXas5UnPgmgq!&xcot$3q+0K6Bg;fn@LjezR{lVfkY`8v73`q&
z^&+;bW690Pl}-0XW&Z{$@%vN|94cdB$L6R`c?1vlG*P98ZV>6jt7|F)c)?$OcS-c)
zR4rOq1BhpumI?JepzL=;l0V^jo(;!V_00DULy!NVdeK_<Z7CCMsGAfnqFMiXaK8lq
zfQ2~W;#l?Q`TPrfY31KKlCM{uj$T?a^>OufIXj_)(q!RljzKRXQydKb;&%<eyH$7Y
zbK)a$-=5XpbIJ$WoL4jsRxE;~X<n-f!cQ4`%P6xZ15oqPt5<6#1GYqLEM!0ZuK7nr
zK~RwRs#1bT2o3L?sZm-qALX1h$!c&#+D5(VyWg=N_4sjjTw@6F2>_8TtTsw=cVk^8
zpMo>s%Rr{(%IV*)UQ`X?WQyl~%3+tFFjShPM&r9xZ`}nT2_|%JB<Ro|F{Gsbe)$hA
zs|WwhoY6m)<3L?R0x?UFd2a()Ll-2?L9ESw#Eh^(Aaw*6!53&KjAlPYKFbuzKcN42
z;8t%Bm0^7_gPh&gh_{%eWTH}*`a~0w)Dy%`(-2beH$dUA1!ai+c))!G>jCj00RKZr
z84`|P8ylZMx3hes*ATkMNDEKB-k{)yVHY!i0KAHdZ0)yU&)?A6T0b;2bR8er<;(j1
z>Zqmu)65Ro1KI%thM+s46kud#V_}&9<mG20&Q%y`5D*r29||JO8P>icQ(buS0?S*h
z{{erA4|wfT>$&NnDj^gY`hmLMY@!ATDX<j)XGC}#pv*qdv4uA3SrU?f=x9l(ix6G|
z!d2)<k^6aXhw`VMB7wMbEh2ONf&d!KR!5H=t1;rd30+u(0s~ni@TU$BYeGkayq|*w
zKFXs%+nb^VNXr%e_g_3v1N#zyeF5Df-?(q%`J4!}%MCgiUA9K>E4M}oAe1m4$_AzH
zV1*;xplY$}a|}#OPk%T6%cWFRDImIamD*=&;qS$O!<uu>B<J+VU8zBrfnz-1#R7*3
zP;=?(6%pW|Kq0s+prC+P03s{i@b2J!HiN_>0&V33EV>E>Cpa<)fsp&oRN7Y#%2TIg
zMlJ{p0fPmBr>su3{)Avct_mcR5ApHPKa}t&`v@g3#qFPjf|6%bo7`BiS|D`PkhvFL
zUZWEeN5HF5tCw%;g=`uDc861#(1n-|WMpJKF?WAC1tO^KRB--1-ZKemR*2FZasxye
ztQN#&6L7r7;C$8rYbe6~bc1vF&^73bgW*CPbdH%H@%T`^t2(cD!ot(hbG_3x%u>?P
z!9mf%FJ=zxDhOG_X{iQ(LL1?qz$pt<0MyB`2)F{wX@6FSKLILNZ{7?7`m;es*<Y;$
z{%ZCx#)wHN^OHfr3W#BraF&RpO^;T*X<6e04oZZYJs2us`V`6v(;K3YricSJ$OnK^
z$IOBx5e7#K8vDXPgF>muo-jIaefaQUz9ISz^bejEDE9#MeEUF4N=hn3Afo@FWabP3
zXdIV-yk}au?FF=tNC0J^5PX42@rc)o!^x3fuUJxs4KAHd<gg*m0FW2hy2tcDrQlzx
z#<kG~01%6`!1~!gYy~7;<dFOT3*$+U+b4aPGUH%|h_(4qR+g(*lbyD7A@_igD*$+d
z2t<$v^n(i}8+4m1Qc(?-tpdnN0O-+jP;O8Fn}*N!9+*hCHmeT&VC<9afHj$thBF6{
z=0J-%>IM<p0JMhdfPVdqC`ZM|G>e6V1NhT4e0-5`g}{x%e)65J0Yw>{bMjI@PoI>+
zo6^VlHQ+5EXjT-sFSD#HR-uUmN3RZiFHF(j`<~sn?zmwD+g=Fu6*?XoDFHQb8Z??_
zLKq%*(|y|$_<6qxrlPX4XFyM!Xi_dT`ihLVK(r@&_=o8No`|t0#*cz0Fo5R%Pe5)w
zoNkbi>sS(16^4(%muK~^1Yl0!j)9C1>n<=P15YI*bsNEgt0YLk+!4Q!Nq#^KpZKsU
zzyjTHFm;#@Id5ulMnal#0`#o%wKfUV?n)CIY{l_TUibv|tJkry)F8t^$~^!$B;ffu
z)O|&N5nw^l)N;-oa2o+pWX@;@O4QxGMc1r6OqtKDYWpou!?k`x?0?Q5LFa>+$XE{1
zLr$lJraDlZ_Y;9(R1b7?CXY-xTmVKgaDX#pTt3pvLc)`2E#`5~6VHJ;IJ)fxhUk@7
z755B2d_=R$my3+db2vA1pv~Z4H;W_O+UM2hkaI1?`PWS>BiZQcBV*WBBR-3kO`1cc
z$hEH;@?VlW0QlU&_j4#D&(51;hh3%r#El^Qt6Zt-EsmC+%`)eUg57^OG1{+*z&rc-
z_%DvxWWQZe?D_hujub}p^YF;4nsImO?vNL6!lg9BZnqFh{#Jx2L<Pz|86!Wgy}xZ0
zWBXPlr=r1SM5IxQ($?nDUp5W5kS@e^2Zwf}C2r<>+h;MY7Jm$QM1GlbmdwI#yX@TF
zq2*)7bAMzyRIl_X$jaV<vk(NdEi4w%EI|PU6C1NyX@{11e@H>~f^G*J^^LW@$Ao=V
zs@?w-O_H(+q<&Y+mdcp@n??e&<#zp@`UL4)>+^F7C*N+6KgwwF{Yv>b{jI~%D_KG+
zq2)t1`|!ymXqo+c!YlQs*ZGbD@CxSDOTTFCgc1B5z$7@GcuA9yf<aKFkR5+N2v@jH
z%Yr}r1ma?#V9bx68rarts%(J?f45tih7;4O(R9k%>nbh`ARTZ{x-Un~*^Ekm=RCFF
zL;T!1iYykcb#5;S_OwC!DN5K4h&VX#0{shBZN!QAtRXN6h#VVnRmgSfwPlh#rl#Z5
zK7dbx!#wva)fUd1knXV98PsZzy2_K`8g6gzNkteG^4<S!kg0~rcEx>k@6d3GRrrtQ
zk@qFh4CEIDS~toj%Bd`S=!XN?!_h=1#F0rq#T;RxHi+(jnnolT=>H&c!u=R%nYp^H
zR50`6%ZfHA^kZ<t0E=0tzN+yeh3JAUIRk%k4izlu4wc;m_H+v9$N2;RD->b<@gzC6
zi{gbEJzIIdkFnjDM^c;ujko874V=%j9%Sk!IE9oR*4`tjOcW#`$om(rFfG;5(Lr!r
z>M(@pc+<whKohtqU%h@!3*54DCm>ly2|Abd?i@XOG%g|GiDA`m-02K2RpsE_f$!dn
z)cd*xo9*9E{?sTw6MOu^ohD}1rF8rxoytb%Le+TRH>UDTRrtcW*JLrZdC4a(;}5jF
zqCOa_Zs?atJBXAB5-igCNeszRp1H1b!&|7GKQ1h7J41|}S}>(?u1DD>LM7JOU*ll?
zEiMfx^8rm-IjZ|FA`vG@WF)~Yka{qUKu@|2YnSJCDX@xRA|%lk6#8@QnGJJ}=B3#$
zoSC{b%5ytPx@Q<#2yfs0G!cG*Bjd((8THnz9NZ7)8ds{mkWq8#GSqd55-Fq{3(|O+
z9r|#6H7wo1&JXTuxQO6XQ&WR_2I0F3N84&nt-W8PGg98pW1$5F9=<Um*Dc`!7<}<;
z;wb^)ufZ4crRf+okA{8jBZlv&Fmh^NzcS=cyG-1hOQd#RmWo&v`aJ?e<?g2+RQso0
z_^oW-WD-2)Jur4qT`m-UVsW3%#OrfenqVuCjIyMheIf^48@0?!B8hTG7F7TW!fwBU
zzFxHK$~HI&!vn#mm>UhbUxbwl4GRhN%~6dh-p8<0gO0<42=-S<LkrBXf#fE|?m&+l
z{y7*iU2PAVH;54ut^WY>(E5Wcq0zpT8SO~)ts{|KMS~UxH-E|9q?v*wz_E1X^3?h2
zrlaT=JhT)=90??LstHh16%X>Xa)2i>K;rDVbE2_=&PPv_uc`OIXY?;e6)s1OkU>`q
zX||Oul%`2NHE^uIMVL9z@^t`z7V=1t6`h$4eS7Megh6zx8_V@2(fikCzFKpf>4Th;
zf^~G2>aqQpH?Qi|j@Z`?U_cSzKXiGIlGq<P!=)>zza0IZC_yGGhoL`t@Y|MvK~QV;
zu$NR4T+7K!kKI`09e@PpOB%a#Bb_lzPP|S#X)GnyB60K&<`2Jm-{R9!LHoHc@Nw*d
zd;3(Bo(6HhEnPneCcUA*NdRM1Q8ua5OO<Kn<&CrO(#yM-kBt+S2y+U!w*TObXe#YP
zm7;|05HV-_4?X(FGs{C;6Ml|7&a>xkD-G3<xR!^(n$hP_?+PZAYa?SC)=u9qUtX7|
zA=*;m+A2UPQfAW~ttE$v7WQ2``$L&^b$Sw1Zw&Fj?u^`JVBd7dximZ#n3041s+qmM
zP|DG06GKEMOw872Z!$W8V6E?ddZ?OfU+^n}!1zF_3P^wS_h{cd`?DdBIhf{A_H!j!
zoIE|DtsB!3&UbKd`n$eceC^rO<_zy$%*q_dI!i8^o}-$XzuF&Ll{7gCpS^yA>Iz@q
zFP;btfQ!r%K23kk&TjPdDfyY)(f;W17FVC>R#o92l_$!y>5CGEhknev9YtDI$jf@H
znyVYu;5lxpA-RL*)GAPJh(0*bTkUv)0u5xu`rcs?X+JF_GL0NyU0Cu|mh}g47T<EB
zU??6Nn^2_<gQP?MaQa`Pj<;1U&c!!)+Hv`h1D-UPitpu*zO3@yEvz>C0+ya$<S&qp
zH*sLEPk{FO+4;c+m^uL}%w%<77)sB6?rg4Z|J@COx}zl=#}HNF={5T&1|8k+F8w9?
ziK}-mzBmDiJvd^3N{ey{h<+8F(`fSUzUIwdsl7(6oZl_@m#Z+34NkM4kAFVQyABy3
z-a`1Hl9A_e^$$!HH{Xe(AMBYN>NqZt4Mt{^QJj*Yd-9Ji(O(A<Fcw}vw?PdDri+7P
zAJSL%{i}4j?QhAmx4t~8bM#euy}Si~y0%H^JL6F8#6JCuY1X{h8P-0V;(<cPvVm`1
zDu!I*WleoIRN525J1#GyMo;6Agz!fm_qq6OcR!rs9^r>t)o-8Yw(XYQ&N-^xbkf0c
zS~fdY4lN#mDeU2RT4eAA9uGXS34VR|@pd=zD|obDoImvQ8#nz^HaI`Ot7bn6^Wc$(
z=7kq(zrMS6vX=GNcmMn6{(pPyyt01$IxF0;Y1{{|T?Q-B(>ET(+dsR%&87d$>b%$G
z-{*?gw*8K}vvs{yeA6|*(-P_r=LEUVsd>E*|8n%#N%B8)R*i6IDVdw+=zI%*59T@!
zqiz{tuM-bpWC}B>FJLI2SlM4o3HsdjoMNVRrtRAa{pL$49r{)ZC{&VMua&BUrSF<W
zDLb1S?;}0rhjCXPJEhOAPI+^f^zD?I)>m~LG}Dh059?YzUOH4MLMB5gl_Uq{kODjb
zAW#5r^d36ldZ60}CUkc{@?d&#o@J1xBIh3O)LSR!K)JRg$Aq_E+J>;=(T7g5o<hy0
z5Z`NCol967%QVF>lYSiu-Vb09ICV+#O>jDCeA;0Y3Z1&sZkr-`pvQ84B}%+CL~mLs
zDRpWMKbUt+AYMY4a*BkeY_cUf4Gj4p@`*u9KirFuG8Og#jrH~SVW%_OofH3quJ)PY
zq*#`A@pIO%91%^+O)oRcZ?=sMl?fW*p!m~1U6R~?*vP%mYtyiP0TVno<zb{hD1}P^
z&(HC(X-~MozUxUekDcnhdMSpzX6dubDv`{JSubyBUd)=l1mwOB@N<xmkW84YE-ycP
z^eEg>9u3V5YnVbX1DiLrB-cPfdOCA_qi2{UZ=$V@XvoRqX55MK_u6zF1(Zoqw=!qO
z`J_tkWH#<HNicFx<piQow^){l3=*n0&@)?I0}F*uBW;_i#AuFqsp@KKFX36cTzIOe
z7;3XPm;s=j5K!rc1pUt66bW1dTE-j*2o*4GG7I7?GROg`1c9Mx@BlVa9RPq02@Y;}
zqSb<%;58yZvK%WUZ~q#i;I7U=@%8cX0`erNTY<cSn>o)NhFE>2Cz7t+BV=$IzZ<=^
zAWWo)heBm47MogDoMO*@5NWC@EGE1B_2xq1XiyTJm`l~X@Mk=tLWZPq-T0>D(=fNX
zv9+~ow6AkJKn+qBfeDbY3DJka;@%dPmL%llX?5O2hM+Woh!;hx52laaV)OVn6g(C^
zJ45C6dB+I|CaiL2xmBGa3rpv(llm4Y*W;iJLQV6!6!6p*#_as?P}ON6XNxoW$H+Pw
z1}2B{b7*H&ag-8och2rMWJ0G>G!S}tod6gS%RDlNID)+E-otqbwYoI?3j-$&E&6Od
zG}iP%?kQa;ojqxq--o$yP4gCp|EOI^hL8lYqQ-u4wxVQ+;-^|Q)UcRbm)H<xGEADG
z-5aY?N1F;d572Pnpxg{CuUdOomOgcOS2!xCEC1H^Zq37JE5<2$F<IZ~Ya~;#4{Iu$
zh>TKN1A{OI15<c#7m$x8D!WWW1H)_HLqh0lYpb-oJ2E5n4HUH<V3@JS^eVt)Ns+K)
z#4}wFX1gEt+V&Q7n`?`hs~tuy6$elzjN>X$w^!fKEm(da02k}VGv_tGQXvjy?=F+D
z_yl=@n6mpl2Zmwo<|SDbGDDr)*-dD)65z7h0A`yBM7^uDw0D8Q0|Ke6l+>Ga#WZNj
z1&4(twYAA^Z*3*#=gWh#7X&|i%}TA_@FXDSb+Eds#<ELV0_n*FKH;C|Zd-L%CL5hi
zRI-y5TKKeVTr9pXERF@2pLRVtau|O`YG>$Kj&lA~6LrCeLf81G33wF}flr=12@VXD
z{fL47Rae|?589Hh)!85M-oTwrULLDA9I5s6@$<{rI4d$NTh}Yr{xqS=DAb2-o4xaW
z&YGe|%DbxT1vs~yCk;b%)`LDKi0jw0<*T@C+h4mAVOR066F!fKac1kQ)?XaOqnBfT
zBvv=s-Rrhaf%L4ljt--s;NZXp43IT|%FqG$Tb-a7I)jk;h2*GQ@lE*)ZHmf;8rV5f
zrM`3**{V5OCbEUYs5<u5ut~zVg)wibu-bl~=}q3c5MM4B9en_I@AViZFEy~<GP1BJ
z7#XFPVSsG>9n5hj(~s+%9cLTp+rHD?8SCqab1PaiNAyQCn~_kh9<n#st!1jq1RqZ0
zOuE60*{^k=<Gy12?=1();Q0UUL;ky)uB>BaKEA#j;N*fHelkRAF5Gzb5`=y2oJaZ3
zzMhG1!gb?q9SL^fXRfG_#4cvEHS*6y)lH|OP=RZf0r_TOYh8+P_h%@op7udi+eMqe
zeK&OX@un{Q>_Ug_YgT;qPw44GsdY0}1`xRtmy}evbLTnKcljXf`cVle2c9J-H#GA^
z$rMdQ1%6Bq+K8!KV(}K1wRD{ciIE+ed!0^*nq^Cpi-=^Xh@}hRrla<qYkFmCD=OS4
zek?~;IE(u!zFUNn)k?lid6DYLOvBXV`>s!|c$O}!FL&|SE~v7o6g~h4j*pK|AZ?Ek
zCp3l`xVay}m{0cNJE-I`LQ-*m7q*F5OJfcG@VRF>Yv26a%H3tHEQK3!-5iYfrDj}h
z)Vo=&)wlNgaNFLU(N`4u`efP37^Rtyn|6a%jM5ZiY(}@lseauLfo@z7aw+GV4y2`~
zriN!Kxo<51ZWOpR2Yr6>10<){j3lVpC{LcY6iaR4%vA~tzl&S-gwje!Pz^%#6=4e7
zE=dW&G_t+s{vn4^ZVVmU*-T7K5`fC+0t|K|+=NYI`Q}T3##;a#8&5AUhtj*K<h&>;
z{jch1{Ev;?w0m}Uc^$gs6mU?q3^Vj8TQ>~pm08-_Dq>RbQK-D+)%J6cEu|Gh)a3Tc
zr}cyrlar-&nGniSZy(C(G0Ih*bK1c7xa&G9j&tbHg>$OM%(R&+_kGmEU3<o&0&AaQ
zr{`lN3pCEkc-T36aT!`~N*Hk1lrk$sd4%#tDQB~bWvxHWxPY1@S?E(`JFM2H>!5ng
zE?bg^PKaDh#BXVHQ^{q2La0?WwIzv<MLGX1EyNhh`l6(gKK@*8YDU*kGDmd9awzWU
zrdk{6<E%bIRR@U^yiq!DB^F4L$jHJy`R+Lib?p_eP%gxhWT7ZTIv|kz0R17E$8z#2
z3yY-R1rAwg0U3@jc4KT#p1T$&vOqA|K1YDAx_9s17t%wjo=RL|5*AGAc@h@RbEgMX
zm1D!yzMj4{@OkcLdC!l$He)6=Lwdz8qho2Vg0@+B`xEM|BzPz)o8OC8iH&b3V_K{~
zb7f`V=gYAuA)aU{7`AjGxy_N5zOS>i^`uCcRx&TO%{CTm0R19|-Q{`?m?{ca*i}J6
zb&%H^zkb!4y@XQzvKO7Gy^~=1#s`-zDPgGd+a?~$jp=)?yOk~dOwa(yVv+c4n|x`C
z!si{F>iOEm%E!0|j=7FI?g9h~*^Akv>-KHcslz8{ox177K<g0~6Ju!KfZ=k6V6?<j
zIE)&Mmm@}N&&5iF9B17=^9_Aja<K-V0d=j>^{!Y_tJuNd;_)KZec4ejoi-I`xU_D6
z#&N6370O}SAuju&T}@y=k)8Z&83=uxH3vRvMQ=jNeAfdPP>~*hZi%OO6lE>Z8rr5*
zmpF5stT$%i3JW#s-jz?qrKq^d)dF!>Y{*)UWNFc==SB~g*um?d=eQ@BPNGm*6Cqkk
zA|hVm5)w@>)WBBS2FzH{t3N<*$N(AzKmV|_u*OWwcY;155z*$YQ%6wNckaGjqy9lw
zxT8-0_&ih+)e6f#`me)aRBu*P3!~x+>_Fjht71Ha=68MR=JUTb=YO}rUW&+0D=vNn
z9(EZ~(U%uEjgl`3dtK$=P$2ca2XWo&rTi##^-ORVWx)PBx;-X|-j%$xlS_(@#}kMw
z6E<zcH*jTN)xm0jT8ffQTHCucv&YPEU8Rv<-|F6yh@z{;`oY}Th1D^mf!L7bABH+J
zUiU@LsgahyfZ9;ryM3ku`cWYf5vgD)1C2-zBGMNG9P()yI61q9kK?FjVCWOVI7J<$
z!;BYu<sB-LI<9|zo9mWl@!=7+PGrWrPP@-zFEPwP)T8&DEGY^_mA4!|SFxn2)w4lW
z)0QTX*mcq`g<!CLb}YWOj(%;u!d1~_;nERXg3c^5DRd7FeZH=~&yR`sZ&rN*)SwaB
z34=?(yq5q25g$O$x)Y{vPK=GkLle<@zWc}Y85~tlwe7a}A&DL7u%R$(@rZm8Ue!k~
z)G}nzEFm$wx3SA++s;B{60J$0L^W{d3StqGsFF_E+GQClp6g$DmNPZ?+?J7nS+-Y0
zP;o!TBd|SXOl4DV2tC)CDxL5nv4#LPV;o>^@S_$|hf8jO^Viw}$3qc11?|Q~10Nxm
zJo|;*v_s8yAQ9TN=N?^mo85|ikdiE)s^=9}H*@@`VB@mg<7$P+l^VVFsiXT&E{Y2(
zD(^lJpsr=v7D^<(5pTiJQeF)v#VngWymrzz%U^lZucNik(vS6sdR&XQ8bqdhD;$fU
z6)J~V$#-DYX7c^~flS@*HW)H{q5c3k*!rk1+XWdGw^?2VW@pQ|(V+LMQGtR(bH^*)
zN*D4}zsi1gNm7kJUzBHZ3|0MtFeX6OU(wlwzGRTiJ?+P0!7E-RndB(xs+*-}?c8~*
zbin@}Lz@EqZ0%l<`QP{VtA76Sg%K8S&dBD9ENG|0?!Sd(k213PN?JjSuIn|?HF{k-
zF&vzeCo(_rAL<>7n;Yu2>KT&?6ZP}R3L5*yKqRjq^gY(_{`kRskZGP`n1IRm<e}M)
z-d4k^IEUx^C-UA)*Qs#KIt0~f<Y;UZ<0eUvocf-;LGWDZ*rstN*>gO_(kk29!)oZf
zG{x7FZ^u+$;WMpDdEoa2%dO=7(C#=2IHQTFDUD^!tW#<GhkFEKvNkq_WzDepne9li
z;HH=$O|s>tK&lp?R8IWh#Zi6NcC(XwaFm%PAb$D*ixRGCS=&we@$@egpWE6`U=E?e
zrL9{r6rM`^?@88GV#BCq%OcARKMT0Z{xHW9r6#rb&-=W7Ee}J|!H;kS(B(()@C;g_
zc;LP&2h70^=&|0Y7h3O-JAUFs2iP97rvI`gUXk#AwT7)-H+}dpAjdQO8%>%T!8=9H
z{sBgPy_Z>>Q7M{799226mYDF!8ElF;?8m;BPOPM@YH-*SVQ+r(5<F=-VI^)$FX2eQ
znyz5akd{yuA2D+e%f)K`mt}H8(ADLxF}{f5_P{Yl-Y*aQXT_xo)2w63U$fT9SPRat
ztgm-|xaW&h;f7FL96xsKp_5ZN(A9!r0=v%a$Z9KC@6(xC)JlUHUb&IkjXN;77=PYj
z4rC_PcPhRwaVWD_?R{IVTHB0e2!1hf>B~3*l%_bTFZ+yx{+BP}8xku8;+tOf`OJ1X
zUnrGR`x5%(0exkg6^$_w%D3?jTyX8IZu}>!=K=<*OnsPHiUoZj!_5sP9d>k>@q`h}
zUey99L1->FGFO6W!w~hokh7ir$+K=u?YZu2HbOHq)QLe;tobSv$E&`0OKjS5rt+dt
z2173i+uq-q!C*4Y=0+{c@C4h)D-xw7U#AidPOk08V|Dw={8(|-8=0y!SecpSb#y*D
zR%Ajuaux<oqrtC|0Lx<<%(y{rg*6I?lHXj9PGIvY5wVZv;*rH}W+h(2oM0j-W_;M3
z$mW7MZr(~xe#O}+Xf$4R$N?9nsY7HPAV@B2W3}&kx1<GwRomxfMaj^VKY4~u1VWO$
zvhplp8K6i~3$9*sD@~E4nR!K?u+68|M`V4ykZM?&eZ$(bI7_#<FsWZpj|YXaQx%O{
zdk`EPKGs|5ug!q63x|>pa+7rZzogz<JnB4tr+-yw$w&XUD*GR=%2tbEX|2<mX&-2-
z+7zSr@yi5VH2g=;8QArsdFqRV#O@`EC>>T6@Rk!77@cj^SO|F&%~5)JxOY4%kaW>}
z?^*1P(ufH3;=0&{vVFCIqE%eKfi0qS`|V4Q_niD#3Dm2Z9A5pK#aLjjFE)XzQ1m{l
zgXKnnsI7Hij9=hx`ITDOhgpZTGwd;`I0#Abs#&}j_^#xTpT?e<_blg}617>P3paB`
zr5LY_-TUVH%YO40E6n0Ms+k1O<FMK%CB9&1z}O+Hwd|erj`um&tvmBEi)?6Y7_oxv
zqXf6%E4j_iQUkG-5;LYQPptHl$I3_PoEQ2_z-aRhtZyJK(uw8v7(vw~XJ(cS5Fb4=
z&zRL_={Bewi^8}QrEMg<2@<&+ELV<!K-U~a+2;6oqK`m4;h>ih)@-Vh!BuM<rLp=t
z*<EF&myS8IN%>Z>OsE}4p|4?Vej`WTM1@?*40uBpG8AU6>R?w8%q?or{(ZHeGe3xL
zQ=>ck(YO_NXM&~5*zxD+C7-ZWn7U>FmaT<2i9oRXoh2omr0TSWYzX6(D<U~LIZ%Gf
zIXINw?(B*=<GqG%&K!ykp?E5EHA83?kv83qQ8HWkO{X^YfAbO2!?E^jpNSwDu~Kv*
z#02LrB<Ih@B{AV<wp8V+W>vj8zQIEq%^bRK{|;?tYB4s>XYFe9;ft}obj`!}y_}m8
z@e<F;l2^5qeygDn;0pe!hT3+oXSwc4z*Iw7W#xz%*L{0|l?Iv^)`Bjipp=!j|4t{S
z=)3kfvtAr7@GJRNixd6~=Hg8ooh~fZ1&v#e8(E6K@#H6bjuNgTh_V#bn9tyz=54(+
z)8w3ax>zTB8`HY}@Dna}eo{Ahy9Uk3znk}iu7;pvTmSVxNSy;(O5n8{*n!bs3~B3)
z7W|RTHlK@@^GS;YQ*4M26eq3|CarDH`Z-uuOH!q#y1d-~RB%iA)-7BQrt4fWx~;?Z
z8z+8#$)u!o5t42mT?qMHpVjs>if)R1%ydzIv^+`R(Yx&*Nrviqk&AK-a*Im#uZ7!E
zS;|N>%W7`k>m**AikRw4_q%*BweoeoM>a*f{%ADcEai~+iyclh!EM|${>f*GF>g$p
z75ax_yL`%s`Q^gHF7S7Mj5=fa;`tv!Zgv_B!wO88pEp{cX}=$6Sc3&sxpBlS_;HjA
zxC*f#cTZUH7J$=Fcs4^aQJ3w2x_jnoNc>VG9~|at`!{(<0$KA=$(`6H^IHRxSIeD*
zta&LJCnzqcS3k5W#n#7U?B@*D&Q8T&?3%yBfyf2_rY0V!Z;9lR4h#+tPX+`Jz^Ao4
z_xWtf)WETuyo@z$TfRI~n5EW^$M`e{J3V3UVb#h``XgDaqS9<nMgG&Oa-?01fX7tN
z&7WUNY|{BI3k1lnUnfoT-`_(|ofSCXX+5hT{XNNWaOTWRD2amfOzxv}tiMW`;b=Sm
zBFC$JRlb<rngS_HZMpLqqzoTR^7p%O{JX4K2oo2+E7?9^YoA0X1l+m5_G54&g;CI2
zq?tyTgjh&KsE6ykeB!3)&;0{dK(@f7wJ&IVZVoxXDPVnzxTf_SFasP<J{>)Ifn9W<
z%r?txb_AD*KMw4VAohH7^D&e*b7N2SA&^#PLDZ!}!k9F;{==oSLS@k(Lt?KgPn4EB
z%ikm-J))ZUrLxVmj&aCzZz7y;uJy>^$OP5v;%^aZQu=qu{6pj%qok~<Ec3qXa;t#Q
zWzew0rgy-lue{Ud6wl-V7Z^<$EdyNK3=G;;>P`?><bX-&VzReyySo5&9aI3(z))7T
zR45^i;Nv@%clB<l=38y0=TE+6>bFp3Z)9qacG$VXki9a&0ZS-r)02R~StfyHkNl|*
z=QR~e1T{VJ#aw4Fyo5`5()|}<+g{ni<Vra3T`8hd+Mp&^cInKXvKX69n2t_yVXN)b
zD%;oAdlI-R<PRS=BU|h&*PUD_?j`L1PUKY&w8F0G`%&^K0=yv<wEpKF9tB|geEh%;
zk93%3Pl=jg{pFm`^`ZS6H`cfH^q;-#cmew@REOK#1ySmgftA~0SmB7Yj794<Q(kf5
zUU3&|7Z;S7dzOO3x>B3k`%I>=EHgD+iB_v1lf|nXt6YVG!{P%2VzUFX*eZdx=W3aS
zj(ieN?;yLP^b^VC<u~RV8yaNv^-~<pv48}fgS;nuF=K0vvZ}sIl_J?>%}`%YcLdxZ
zw-0ZL7I~^3E!%JT95eEnnG}6?K%Ir{g&NV_b1KAUEO&4d4_;QDvJoINHWIj{HVVoE
zlrR%kiaFwZzqTl|ba-*NKfnEdt22G8;>J?OP}*V|u^(&v9XM$ixp}`$-zbmxOG6Z;
zn!&jj-!WF=*zv(pSFA1PwVL?B96fJ%Zs%~Lssq2Rzw)OSbCLKOSzXK2_xNR+NZwI{
z$YFP~Y#=i``x+>llHu3h_wR!TRso8&kimWEvd#A7B>@;eZI{oqVm%aG^B+M%Gz6Iv
zt;&T8kEU0TjfJ_|fK!=)Byc;7PteZmd6w7H0hLQ)QqpR~Nz}T$x0b;A+>!PIHhmAl
z?arszaV39!jW)bJhY>65bJ(=wrcaksO0Iqyos)aI=@}v1eWW@KkY*3zo&u~21#xko
zvVjq^t28viYCwx#E0m02|Irx2)Cu*QxIgH#QLtjuiNSykq?;8brR&#8gwj!n%xaxO
zXN6^DWkHB61KjJ3Q0>B>{QC9lY=21}G(_y0@!T9z7n%I8?#PuDwrt;-T4|kD-9K*}
zz3OQ}>YOB)#eZ3>ly9BV+MhbUuhLFo%+@&}^!i93ZPk~P&mwoC7FxwSqKEb*F-F(J
z_8g5(eA@PUUX{A+UK^+|c_Tu%rx4h&F}Z+k_IX#zwyJSqy*YB$&d^j$wqC_??n~1B
zw7p@fQX#&F@KH9-YOK?ic@r|r`i7f92e{O93g4iM<I{T4&i$G9xV~qxk&(1wCsjDw
zJsgEXH8kte99JH^&L(hE@_F+{5sF+#M_BMm_px(n<$kfTv2fv~@n5-q{UJ2_EKO|}
z`X9sO2EUP3)bL4zv2}Y)Zvmpw)9Qo9*PE^7K?@l$Ynag*20d$9^*o%o%45e(ldina
zDA-wDY{K-d_gpw)Z4e*VVoWD?`l&H?zr=P8)?(g5?IK!+`4;!y^&SJ3Vy)*l_V?d;
zm2W=3P>_OMeNMa0c|xX%>NIwD($1OZNos_ZLA=(1!$Xz9eN}=of%KDEF3GnoV-(Ef
z=`m`RQjxmOAIrzBoX;-13HsRGdNUemARwrlA`HDXr9O8q@xb0M1Icn_M9G+HJ@iI3
zxi$0CuojZDigWw3#Nhi-hoQIkK+9dgK)q)@+c6Wd&^}_O2eS%GVO&$cG4TC*p-Ig#
zz=rCeFIdJp!E8{NTPbGYcL=zGFKG3@2GW&|z2WPxUq((^36J3`feE$3^-UNi*lNs$
zlV)!EfBO`|`!0k&scwWYl5oFR(y>ZBB(LMWny=!_lyS+d)sAG?UKwec0=fE*D4pj$
zMiyqpZpuAtJ&X<Jal~bKFZM$p^%v1|B!V{IIfTA=7#0Q}D{4EyzT(?8xOq_-zjDZ;
z*|qL9I9u#O0O;4Gla~S&5%lTqd)6EE6*gCdHf_fqz~r^^d1p5D@<&jfr;hmG#JMCl
zqo*LZHv>73zyug*!(rI<ATT&8YMyHO2rAjNg{n1-mcvNRg<Y{uv01I2!m`3Os)bK>
zA-sL3sgPuzPc|b!4SB)X2~!E#_(B$Wvl-_JD&#v>M~yH`&1Ri~1+?V;ZNIY}CDAsn
z`xQ>RKz}mM?j?NP<=z>YwQU-HTIuQGVFfVSCj)~r%y6+S(HGJh%wn@(=bE?KAsMoT
zigezl4E*6CF)^87+-Kn8Qi4rGaaS%*^_s!zdI^l{RW3GrZ&I~q1KkDj&3;RN=oBZy
zc<cs9+Bj2W^`K;`q8hiwwjGHWjO1M@%b&fFg998=wfR;G!+TN8g10eirn|V#TDuTe
zII}&#FO2%qycKt&Q7n(y1Gqj*$19a*zPUdop>m~rV>&>SR0mJC<42g)cL~15H7uOQ
z?s%m<Oq=8_H>p<`DtdQ4m%xnyM!Z3!Vl}rOQLLdq402{T7~c_{dDf3>@GWfx*yNQ<
zEE0jpfXu`~vVn~)Es9oFR>omOsE-Q7S*;b0n~I>4jE;_;B_@uCwJ0pI_UbFN5h~eR
z_Fzf+-mXpd2dXkP7x$ABuz4vJ*dV{xfAdkw&B3gdLSwA8T*H!j?$)Eu?M!ZtMbcD(
zgZ*V6!|sZ4{DKAYl<xt~+BwRdE@niY{cRFFzKUXj$NgjE$2M59u#9i<UAt3F{NHrA
zb7VeLg)=N2`Hzv4d<x1|3#kk3^XGbwR2xRcuE?HF>r7o3D1&ZMS|gJS1ern%BX4Mn
zd)6BdRjL8)!HUi41S&Zk?)WfqNKI!5=KiYaL?Uk?b|d3aQo?c;!=%uHqCdl?Xdq;{
zW!tvU{Ub8kHm;Q-BTw;XCVN_^*W90q$E+zuZ_jj-px;(a#Z@|wvtc_A$~18IHyon}
zUGJt{X>D89AgvwBW4{-@NRjMVR89{fp?{fl`o`t;Kr7949cyf}ByaW?4hKwi1j`DM
z!8Zpr1@MPyULcW-Eg^+v0MxAXA3KNLu*n}aVwq|UIZ+)N_+3VsH@cNOroLJj8;<HK
znT=0SKIlpHzf5%%9TOInSw6mY+*Ho#!>y+J-5ljj)0|QfS2YSRZI`8j8$w&X6>4_V
zx_fz;0VNshy*hT0p9{SkZ=Ah+GR2fQqpA#bXMMvj@0puMzt%zIA-;TObmijQN#*r%
z6|~bqouGqQ#?GKj=ALTJV<?aFM+%O>-gGkJK+0L<x6N(Im#$Ek&GkEnXz4+xa)m3n
zmVWImuH5;bHNuUM{5#7M%Ak6`oy<kZqN^CBC+!e!*4@heWcgY4Ofb*vjki~8*zPUa
z4#Y<5Sure~0UgeQHyVN(>0ppeg3Esn#*52?EeB9zEMnj*;DA0UdbIldOv+jPH7>GV
z5f_$<Vs+k!&s3qYpubF|Ki){t=YMc<PbYD0LcI<O#17#cIhVBOd-oAZ3u*td>i(PZ
z9F^HMa%X0w6RAH&-479p4eirv#|94i2Sse1SGWY{z(Hf+er1KzPC%aQol>h(d8~1G
zeG@#@O_owy#hn^~`~_)hy`|kLKj=7r097=C$MPe%dKL*wX}^NC34%itBG!8|(yoEO
zI<fp}SKQK;g!t5Mhs8g4CKQA2g=ZPR8VPE6`mz4Tn^b>$!!)bZ?wji<)GWQPzrx-D
zw%8?#Q~J#)^u*oCQriEah_1Y$g@)kbI=Dp`+1WdS=nfT&>xw71E~ar$mv(;;2n<@+
zLRH6yE(B48*<%Ez-iBf}!HD99Wx#&rvocyWp~U7qfB)qc$?O{Y7s$(r$pZVPF(2YN
z!eEtN$OaOFD8jKTFdMnkV^o-iRpE@3R5Xlk*=Ibv_sWoN(ajAHPw9yXe=7%DoSKr_
z!O;0Ifd#vOj%0fYp5v<mG75XQT>mJI4}=Uj&7znqLt1HUL!;Uc99IP-!#DHsnQjVU
z^L3Z_9r0T8bi+sN34cl7q56hxDSoAb+^QP84nDUP?6Yb-j2juYd!}y~yr`<GT3OB7
z&C`q~EK|<cyY%xG3T|-P64LZoUh7l}LT|o#Y#sG}9Qakz<dURBLXHm~=kXy(vyN(?
zdAmvxrh6DAZE-d>ggG>oDEHC$Ro*eA&$})KzQ1IxrjMm_JC6ft)3W?`FK~5Ks0_)i
zeBwHX@nr0r`L`u+NMPWH^*QvM(7~!u){JS-ua>YE<7Sk)M)5ui<7lpR!K<l~NuKC7
zQ%u{!Zmw^;#<%}d-IsvHxcB`J4mn7+NK{7)D$3HLk`mGsN;O5REi`GOl}QUuIFvM6
zXqOq)qzRQY)gZ@K6s@$AmMJaLlxC#&b00m=dERHa-sgW^|L48_|E_bcv&@Bi?)!KD
ze&6qB`>LdSsAg!ztM%`3Y2W(iU2B$OB<{9Hzboe)p!H?<D77g&QJI~XZ2rg1!aX~?
zFtKA(y53;5Ol4_KkCX6Bpk2V;rO$oz3#ctYV@}R9{GASkCk%N1=A@+aj#CprTg9ER
zshWSnpU30j#zkNzd<G#k0!^%79Eu9>Oci_w$UQ-RtzR84pa20ls1ug;G(T|8Yw*0t
z`!005Q7UFJ`QjG(s+56bGtbNppP>7xDicZZepagKR(sl(U9cfL#+lxElz3|z$s#Fo
z{`~Hjr&@cHQue1Rrdl1Ex%ki>x`PcK+<4Ebtn1Ytx@PTK!S8d;!KS~`5BdCLfpZlB
zLgOGgT%M@k_4@i5nEtLKgJY3{PH^eMcN^*VFLn=KbPg>W`+hQ~Dyy26hj&veV~enl
zXPI%9)AMDnbop34@6MoefSN(&Y$%RASGi=MRD9UErbUTZ@fQG$sjOXV1%;Jy%)}Py
z-76~k6j&27ndZYL3!gc<2V`C8?foc?j(C-^=xN0>EdpE0=#W)qaNK@rl$8&g8X@i9
zxLc7#N>eZF)lfpm!D6v`BOGIhwEaWVCmwx8&pA4Z*E!nIfZtTck;DG%@!sbz&0ubc
z#E%WTD+AoqxSrX<@joI@?w|g5T^rnZIJ3zNqQroX0oKeIJ+&oEHUb_5l4*xvb49-2
z15pBed`yTnsBp<Lm@wq++L4+)Uv4(3%HYR!9*w{ltrA*Z2FMFS43O;sm#nm|cbXy}
z)3mA^{hA&5qlC9Frjb^QCAEx92M{@k|Ia6g2845|k_k2){zx}|1Wt?1IJ|-<sA+q)
zz~xP`v9XC7{#<2cuB@iE1H&Zkt_`7BO#>Cz)%@T=6Q)y;D_~2my60|>hEyMZ9G6Q$
z7~80E<n1bQ1<a`6F<-i!I1Jf0M)Z}GmU?-}83Z~2vAO(YUxXsu2{%jXpFMl#hQaK_
zQ&S{lehh01i)2KOlPg*tox!BAyLM@^kOUEG@fnuyo=<>C5#wFqgk)9JbDSSI5pPlv
zJr`5f)4<o}5Bs2j!cJNNeP=REFqVjWicp04(h~io+{yk^qPJjqmG$)-i)0oqOh>P|
zhBbwx$YL^=%gYxRB_t$dzJC3h+Bk%X^>1K?j=Fp~87LmN9!dx{;;u4~LBn7oP--~R
zm}K~h5W7Fz6LV?t+Z@*`oCn{9DjwMw_b9$_&1QxMU?BImw;vT{!2vojJRGA4-QaVo
zPf=smt~*BXMGKML-SBMb(xt=@XP4drTv#1Ept<_XN&Wj^fR1@}&<c)P<SB+{aKmw4
zn=#-?&xE8nzy85U`=XU-E8yPMv`{7`%M&X?>QhC;B)|b+AFYt5i&hEjnj)EK!ij|<
zlkM4N8glMj#>O*KsP*?UiMJl>pj&S2>p3LuEyb;sRJG}hwx=n3=@~C1rS+AC7Y4LN
z*_PyN-Mo3ZwsxM~a70p)IvMJ{80b=0kX2Mv7>b(ib=D}iBNd@8ve98IARTQ3r2wQx
zNJZd3j9L}2r>e^6+;*?m(jWPF#ifo`B(Ndc9*9mEABBdJNaJh2inpMfSe3|_UqYTX
zb?VVRm_Mx`y@X{g1L@<{EeaD!UejmJ^feccVd7xvMoc^fpF>-%0cW;8dJsAS`7|*D
z(Y-E*Y?DDjuz0j0Av=RO>+Y@<z4w3)hDoh1zWfZcowg8bedE7sg8cLMqw-G;nZBS4
z0-IWdw|STA58odK-N3(oPPQUm#|y9S@)x;Mo_qErL(zoj^DL|nx3-d~yY)S$+qPK)
z<tJ(^czwsar?dnyagtB`tAkfw9nA0^L*_f7G=K<?|5(CcMc&xAkd5#vCU}Ze?9K<G
z@23yG*_y@MLo(Faw*Mzm@+EkAcf!mU^$asa?V)WVsDy3XLNOmZbG*NKjkpuo{I&Fl
z-tNavf>*ARcn>g0Fg<AOyYz;W_lXlH#)(dbzq|?v5Rui1<w0h+O=$mO`|~7HqyVlu
zZq^?AxlKW10mF3{uy;Qq%H<gr)z6Xm|JSy|$Dz#plui~<pV&1n7Zmvz;Hs9Lg%%ip
z%5l~(gw%>;;sm1)eNw*o#4_O=;RUJEA(m;?M#=3SgTFq1ZnDMLSb882p9IG~JihzK
zhWx+l2l+SDFQkSGrt04UTSAZdkVqx<LBis`j>S)_CnQrRH4BSmpF5_BvgbA$^oR|w
z;;uOUv-6GVX){wR(~*gw0u>EjQ20QJ2cv;O7-UOGU>`|NB>fV#4vZ@++|T*&q9{c{
z(GFqw;dHOLt<*`uLRtrz?_tmK*{Yt?$Ti}sJJ8cEe%!yBqeYUeAKA;O;b}DE7!4_u
z{}ij|$AQl9CIXPK9>|O%T5+ft5Z8PQ@3XYS5~#Ag*0K1DSj?o7dwNPN*$7#ul||YX
z(<Ig~*OSs}ed8mSW=32vE4`Pre%Y&cOL|sbp0iJB`l$t^tEX+Z?Z+bjyQ;c(rz5f_
zE5x-MlF>b<fugp9!Fy-hL{isvidd<bV~38SWVETrk)gw6Qm}I&?}el{Ma%7Tvxrr7
zBkI#nd#;xGJ#lTgH|*2F&Z`=|R&e0+=L=IO`4}e1y^D&9Vgbo_tGTti4TndbIVKbw
z^H8_TF~RAPxB}-jxdL@{^#|$ql-cL3?1HwHth{VAN#9PIROO~;Zfb9C9S~YAzp}0;
z)^}zy?X6bOwVE-Vorl6ZGPVqtNe}KQJUQ`O)KE-#n40(>DwluYqTG%YsS)y$YLVrK
zPV+KT#vh`{-||1Nf4r@;Jh%1i*gMq+2Q$_E9kOQc_fZi{m$0^m!ep=3AV0Qt1ufnv
z@%y2uXY1lC1_m8tB^U6orF8u){O?t@9&e;rKJA%S+wz{Qv5dDJL1u3$NJ#j%B_%G!
z9OSb(<382Gnwma$*^c8}Ym%XU`+8gJqE^$gYELCn@I@W=sL-LPl_Z6cHoI&ks;xV=
z`r=(vk(W0D_IL%TBXD9(ggKyQO2^*XRhOHg=ql){CPWzo_5p6?#K3_7B(nTT7-gQ@
z=|&%2vo1O9ymm+3?_XxDy>3u@>Dt1Iv7Ypk`cmX+w@v+R0yu^S<`kE}!9!QY1Gw!8
z%Nev$JC*bUvH2f`-@c`-v^4)xSiAhkP1z91-Q?W3x@eny>dw(9boO2&hpN`Ev0hys
zR-LGBHG}=S;NKTm9y8aU@$=6Sij#l(sS~5H;SsnIx?&N@qC8am%6D~JPN}-hLwQ&4
zw5eRu!^g3cO%ygU)rV}p&2f+TxIdzIn!wwI#P)o=DX;V9weS*9Y{i?FMP_&ExqKU4
zd!zJp3~1CC#V0_Qlvqbji^esV3?{-LFfDO2cEKpH=in@E;kA$=4rE?e!)CgU4M-Bj
zj*!_-Hu-^ljh1wF+%W;P`9nygpSXnoOubOejMJPspD%E-Joj|U{He+DZGNMWnYBE@
z+s(D!yZ1T{X-PRbb+WE^=Vj=zZoqyJ6&=k+<{DAUg|3`Kvgm85+c?cbKH%<F(+$5!
z>NzZV+nB(#uQ%iQ1hTe~R;8ZhRp@Dxo!jzn#`h^-mfi*R2-CmVA*-51`qE!=TXnp4
ze!@qj-mRP*jWZb&Nrn)j(v_bICXv$gz6CJ#bh&{fQhWQKWJ)ngZ{nv*X{q&(fBR37
zDXW(J)AE^cr4V%}jW=>o|6BiKz#45t(&;VYh(mP&WNWcb3h-Dr3`QX~N<|9Y{$b^~
z6>(MizbKti+obkA7;{1m$*87Q;{-2lEXOOCMQh~d=V9c!OOc?)-gL)~nj7I8RQ_5%
z4^Nm-ZTNPw!;R7a`vFV|R{=CvQBRb+xFqX6d-g;Hbs!?R;`ZLhIhd1*NPsV~-BVP&
zG6U=wiGQ*(s+Bwpjzj-yj&i6r&V#2+CMsimCDpiBH!;xU_RG&5q9R4%1`x)Y=f?>J
z5y&6v>*Q0Q1Ryy$aA%hyWN{Oy5Jg|BkB*L}B4ZA<f>&NoL%tOzWT%{!kmDdb`7b5*
z8j1DN$<$vR4aL(w)zA6c0$a<qVlyfQ>j#0OD*ElvLYkVJ$0%Yap@OWKAz_@!jowg%
zk-dcS8M_BT>Hq=$*i@VEb%=n44ZiiC;e8u0OVIH$W@sQX80|P=Ch6U;-a9-8saT{I
zJB)()o6_52cnB#p82~rCQU6nsw|lKV5Q1v1sJEar2Zk==tipi{7$TTSR56Ts($Z`q
zZur9u68qfk>1i8d0`2d@_3VhS14`3V^b>HoQDl)qm4;m2{5)cXLuch=f5%YMVSAEO
zfo~=T?Z}g*H4b0aI`X!q3HMBIL?rq{yKx|w+jN%beDB|17l2v}SKTvy)uykK44eVT
z;Fz*S)Q*Zi4LN-TfqD3F8ldG~nxAfh5Cg1yp2_${>TFO^F-0r~#{XV~%we~E+a%kN
z@rz~P&_hm<V`YHu;+dJ~3y3zqAk1T1i?S^?m-uzpF*%ydiMWU<;LH79f=ffS%t2$A
z1{%EN<;yCh-ed-SYn6lWWmm|kQ%WD0O^5U^3Pa8(+M?F<fMqFp^(smc35o^v5PY!l
zOYi3)_6eClYK^}2?!x}Z5&~RlH!^R~H(a?StItLwMVtx@W<x`R${`Xd@q?T9gy4lQ
z@tu)zBfakE9#(TSNRI7D8aQz6p1nsA1<Pt*)Nm293n9m6-!z@fZnG15L+S0^Ri#X}
z3=HH!F<QDf8)EVzP+vl5N8xJ<S*MQH5?Mxd1%B$Ivao5*2S;8I6KS%2do^Y_9musK
z9AF3)?80h5QC)?cum%OeT$KE1GC{N(;wIG+LRiEkW0{)~Ov){UZAcAW4gNB<AXu76
z9^Rg`p~%5MM$It?*GIO@qctALtIzt%Tf26xOJ02x76%F_#3`5qd4s?0VQ#dzb(fuR
z5Y1Q);J3y=Q4ey)qk8i@WQTbvDf0SAuqITUqLdk+rJ%Kp#O9A?kvKCm9rEuwJV?@T
z{jt2Ky*;7@_|9}VTv`(?I+-9O;Pj&$bjHKbKu+`;cT|YI%`km9^=cuy(#QGQ>{W9r
zrB2y_eQ4#aAyWt<7rQdSXdnRg&7(770;qpY7*2G)68<zx3^XU!ASPxL_6k*9UGBY7
zv6A#1NqC9!V1&V-@l>R+<syc*F?GR;UCCHE{5#KN(S=xnjwF)6@a~!s8xE2|suBG<
zZG49@6sO~5ZM5Zae#Vx_^WSds&?NNJM9xl1b2NrM`1CaqN?}Twqq(W6O06$HZ+S;}
z{g0ZT&(m0CQAtfP2Y^)Ya_C9(42*_&>@t+=(d-0gW7Z(AY;0^}Gi)j(3mI%ZD>DwO
zyv;oiaVzq)!kU&HRibjuZ5I$*1j*266>rv$Gv<HSXI{AU6Gp_=V1oL*Idf9*9H@B9
zVQPv3sLW6@3ssX?>U;NVai7x6)-Dp&=omkw**r$dmiSVf#&;LXddfU$V)sX+9Swcf
zCF~%?7U}8frY0s95b(~&gTUbgyWjr(;+$Cry>DC44;2jhG=<!&w>51oW_^CosNUz`
z{xC{KEvo$xIjNWTTI*!~VB9SJ3zPKp2gh>JHno(@i#8d19=V~k2p@)cZ%rHgUEES3
z>nqb)U*_z0(>qpu6pQ0}QS;_eOAE|$eaaRX$AsvXseWH@^?&FbUbeR^bS<XxJAlwX
za@cx-xx1eE$*LmhkM5w*@V8BLEsC8#^N4@MCcAjmOoOFG+Ls?fAM$Wf{K|;LuN&*=
zMxIVpfj6y%$73P`w+Ww-ynb@(newFbrnYQlY-)4OqsYtwcd6v3J@(RY0|fu8ZUg*P
zH3EOHV-{&Ap?SxlOSR5lb?O04S<c(>$h$y(!5P_=Ki{V&wM9#C%e+kM?0+dLczi>N
zxH~EV_s!}&Q;xj$NwliCbfrS<ova!=`gh*ZtTjzS1DRdfyUQ%kftT*u+`a)t9;7_~
z0P}BvR<3xudKw@TP|~Sd9!<9l#zx8$)g+f5yZ>7903~;QOtpLf_nDRCgxdBijh2)%
zvl1B5y<XzyunY_vDP2(6bA(c<%(42`(Qa|kA3Xbe>T$=lVNRpXLieZZ#YZ}<C!ft(
z!_|Ne-r)9X_43?3AOl?V2GPVt#>Hj8lq)%JUgsH!4X>dKb{TPT+6~VPq3u4RwL8;i
zgGhCm@Jcp=`GXOVJ*7|E`PPh5KEZDttItoyHaIi$9D5>%5uQc+_I1!jLeE|$_qR{!
z+5UOQlb0vA_iva=2;tG-XqM->s%|MO`1br}(nZ$I9=(i@$D3TjGp82^#C3-xpK_`D
z7N;5ggi7gr&a>0$m6Vj#OW&YwaO=^R)WiIK<tdadnSbtZ_D&ra#!YWsmGBqy7vVK-
z`}i>p9|<dyzB2(*yf~QcicQ=&YKBKgT6_Qet^Bs|38C%Y&-u5SYUw+K8n~kg?JJ5-
zU;pY9Nb}=7l#Hgu<!zfR3Qx<qy=#%PbMk!cvv+6<)H42Op}Z|5FW7D!L3veUh~#xh
z=Lw|877BiVW^92U`0pt*q%2CqZ?+4BE+oqz!g-TNIuN>Xo)oC=kJ3=-(q(-qd^~;q
zP*J4st*-R^m6Moq*%fW}9S<f>DESaD>)@uOv)5ojNUT&2%Qn*)k<5ChlpmcnRUCGj
zmx9>oR2kF8>sh^5oo@C(%mQ-%6aDpl`4=yIb9=qcym66Ymj&Iz40b{`PoS*O{A>hZ
zF1>o+uLLxV{k@c$%LX1uNb4~^Q;`h(g@R<gT*SSc$vCGyZP3f{ZXSDh@;Maz>nXF3
zx<B>d=yo!g&A#(D0`xYNIdsQlIK)=go6HGl)s1T{`Fu_8Wae|SLUo$sbSSNqheG^)
zysa+n=#bImYE&Kb2|O^~1}U+&)dPUb#EU^@K#QA>bBO@I2#^Uu!0FiJ5jI<V-gECn
z^R1?6&-u?Buh))f&&_y}>s0&Y4Lp|$sz0&IYi#Jtjf98pbuYT~<x%ZOv%5P}tT-%#
zK<BId{Lkl%9IBPfQ`OBY(BCXALv;wybp7&4X~07|ZKw0tmb<%r*7=-cEaUAZG8dd?
z`#Q33-?o57<wAJ4UtSSvMmmz^1~D9gfR=%uQEP5p+pAezpxGaFuvu~CyKXMSk#-6l
z;FNpOy*(=g`!1|2eEE@PIlPA-<Y(3$&NZs<j^i3Hzck~Rzyp_56#&0MW<gadtGhw1
z^?rsvH{UJid%thHRJ9T$4Y}{DC5XSnI6pZ(g?kxDHJUZ3nQ9tqP!gm1ZM|@s|I^p|
zr-RXeJqq5klwN6A<n6VnHoTHAoq3pLfa>kI(#0)8AOG6&5v9zpw<bEYj5l2eB6N?>
zx=woe`@VGgc2K>f;}S+{$?KyP5IlgN|3Kc#wX2OZTX4gGl`vY%f)=!IUkavaL|(g=
zj?CxfDBa38h>qm91`ZcA6Z#}nhRJyL%7h*pf1&oUgu?>}FlrMf@ETmDfC7VyB0(s?
z&tLZ-C@8;`$i{%b2>lJ>F-+KBPxb*zjIQM0db0Ib;Vtgyi9Z{?c2m(uO#ecSVo$UJ
z4DXN6XA}4?;LjR#CrWRUP6^N6F8v5pcR89ym}FFxlvpo$m`O`T@GAA)T^3Q#BjB~W
z^UaOkx$$3!a5#c&qhofe0Je8i&mtW>CKR!zd5ykt7_{Nj=u@k_Y}vE@;V?2L^U}-m
z6BGjw>_~JZszpfzM+?B0i#Z#Ll#{&LJP&83Wy@+S6eh51lj{GEn#te3&#2P=)lsn7
z+dF4qV4$J?S-6}nX4asgBQ$#O`j`@ua{OmWL(QL5N#`07_9{Fh#oEJJSv(<oz8nk)
zw(Xt@Vom`9ii?X2g)YL>&J3KTy~8gqtcO1c?O>%_R?*G2(wKs+26>0y7{N46z_r9+
z8ijDNby;jLJu($wQB)qpp|!|$%|&7zSu&|lTz35~Y%v)jU8nA{yUG^?ZTNZWREq-N
zo|1-p2t@#Vx6{EPzQ7%%6&+NfCMInmSHLvIV3I(5udRLr_}TO4rw;pKqcz&J2`zz7
zw~dTG-5P>HWj_&0ed@r+7hM3j@<lKZ$0)-09K8sB+~7AVi*#C!u8WL_*!f=6bb??t
z#-)YRhM_O~TP6rc3mzh#Lk2jN3xLfJ9AJVWdOo<YDy=KNo`NvY|IY5H>o>PH%uMvm
z|NafB3vB=4UftvU$?zK6wckUw=&}5rq4;8NkYb#I_1Ddcabj!^n$oqXSnW!jK@bl&
zAG2q&fc;q08$cH!u<gKb{E%4y_z1hg<9D#c8{A>0d?Vx6u=BCxB$9=m8VHfUZ&agt
zo&T;O{e=v4KY=djYLg9njUB|jkt?v1n`qJFRlwHpXmVgw75I4&g6Br3HzTqZaqRk}
zb2ApEVBf)Qqaww(*B4N9xxrXr!y!gm+H!*Z!R!}ZT%UWCMDolpnp{#92T%wx>7=br
zL0%pOhw2N#($CKo!aLhyoYk~f>|zj2#H?A#c%9f_D|&~JC*%70!;{_~qCb2fBSv~?
zf_xb|?rKB*5BjN6v#|reYl9UpR>L&~D5Z(YSjg*<*^^_`#L%AN8944hPe^<Sax5La
zIYVUw@d$D=bw~5>-+!xrg$a6)05wGSPoJI$HpGm0ACXu>=;!fpAsZwEentpLy0j)$
z@h|U=H9R0N#3{VUO?*KB3E<9583a{HG#)qr2(kiFmrU54cdwZLDpB8_;XT;7b7W*B
zYN7Fwyn0Qvi{%DVBocd7(D##IX<b_$o{9p$ch5a8@#MgZHSQQvli_so^AnZ60>sN8
zXFgKVHh7k-tQwgBg}|jfb5oa1yLl1YoGW}FLKGEISFYTEzg1jD*BT^JJaIYO6Lcx)
z00A-iB-K;Ac`@T{>%eh~2aXL%R#sM^)ij_4AWX5?x`^c{$}Sn1or`vnXd;1FBop!-
zL`GYZ$-hBSs5E{Lmih*sYA6Z)v){Y~D=BRZowH(kamZrykh>2~J%(RHOnW-W(T96y
zql<zV*PH)A_Ig96z4p7FAyr-<X7L_I)Cd>(I7IwFBQkjj-VZori|lW|<QvbMA+@T7
zEjQ^G$9MUS1UXF`Bk-yhK5b9T@P+a~gAPZ13Xb(v8a+|Xrl9q6t$aGVyRGnIYBREV
ziW=NI%MC}1V;u!=QP~n%6xGiI2p|chp{A!ZjyEHaTOt)l%0hfy#J&(6zx%tpTf`(}
zt5C5md6C=x2Uh)8ou2Len=Zb-T2@j!yQu>WI~W9mwL9~qL-6X(auR1UVG<8^rD%F0
ztekkmG5?S4DH8+y$<uv7`0{lIZQX^)r@r@c2<$^O0>Fp&K@LPp`$H6v+{8Xi-@pCh
zj|Me!Oa`CaUv+6N{(+zW$J)~JS*d2B9DG~u^_KWIlBC*8fiu=Bs}=PZJa%=Efx_wE
z;i%{}-zzJ=B~%O)PIs5cWXN{OzpInBMbVgeSC~8)SQFB-x0L0a7Zd1L1W)#TZg9pO
zRp;0k<p8f1qxu_e%&nXlVeT4^S_^evyjOtD$cka3`c4m~sF-ypK{4aW?TQwc-trwQ
zvU^(lQs?eIA>7yLg$x6a50ZOpag>AkUxNx=704L_8g-~eZjO7fTc+tB^5bb73+vwg
z`>~y(dvl45tV1`LqQ_zEnWW&lVLr{Zz5VXvO0)Qi3+rvCYI!8jn|)x{iHDN!e2wUz
z{L|BNKIJ<KkMYyxSO$ZaX;}uT+<woI4u>R)Z-?0eiFP4Bbnxjx*ZT4bx&1#ETIdt{
z`-A>f+8)$lMxQu)O4C!-o2#+MSm8|d6LVyIgg+dbe7KdVgjxnkJ)%@-o~F&5sdf89
z-Ir$?>B-DbFD`rU6@k>#A4%j)BazDA2H6Qq57zdzHBC=I&Iq3+&bXqywtwQxR1Nol
z5eR$S_3++Y@&0&g!jlQMdxwSwHpbw00FM@BaDuCHbtA;uRNnwGmobmKi10D{XW1b@
z7OEj0!fh-F>ct#(=sp6bSlbueOF9}LvaOEyyT}|X%{*y9A~hZP?9$Y_nBh6V3Qf|t
zoOyJ+Ww?o`JW_(I)_&A9$%`hYZgF&n9XIdfYoFB_Omkm<w)|CcjOgt0zIqKw*$?8f
z)m9y;tJ~Z1=ij7Ovp=1lj1f5&G#V{mz(uJcc(YZ`73yx=K|h?7w`#Zvqmw0qw)F&Q
zXO!%ZXS8RTROcifOH{^<k(g$-EB#?woVtI*d9s!Fr)J87Llcb)dN~WKg-r$}`_jKH
zuHql<3=2`!7!l~{+e#gkl=kJ{IA3c+*t#r*?-8t|@p;?Me(CqTR|2Eg52p<i()PD9
zlX8UoJbj0#;c@5IPiOvcZao;_yZPufMi2$oKiId6Ie;~dfbrI51qxKdYxuLv*u3F_
zuj|@r2tO?0U(VL;^D10Wyyz%RY;F3%pqqNFras)!rBU<dy9HHDxnXu{!JTy(K2HzF
z1DynF4l{!ny){hxZ^BE65)UEf*Jke~jyFOWp+7oUS<M~83UWo}E%)=&MUwNZ^K7$U
z=_rlXI6;g?o-5CM(YSsm6sL)TaG8q21d92U2&RNbH0^NvZx@0yVgk3tT8HIEC-pAX
zm)a>3K+k#PH}BHg3O=JG{Ei*7X(j8O_6d&K@pI$aHPr^~eJ_%Hj`z%TKi;DtVcS+@
zyyC=`Oi{xgWc0D&Z$cTId-#ofu6w-=X3|)os5cIkx{lT_9s8)uX%6&@L=nv$`!31|
z7(?O-krI|5!BtdVZz7~zWRKn0tr#{_V7&#qdQInRcGd@%sCkW{$<v#bEZsHD!}3JZ
zJ(Gbv(;G(X?dBh)NPp!z-N@j+PI;`{IJf-{W6#8m?|Z7)wzfSEU&DyJDlGQD#AKx)
z6ab2EEA#cAf5jP5vVHG2Ou=IzX`P$8A@)t_9m~=wZOxl+dFGB@KUc*=`~n0!bL})E
zzt8KYHy3F9a@&L|`%6(p<@u6eRW!qE{mB~xCFARNI~ZgMB4Z~@S;`)LBHO3Z__pw*
zXhb4m*e{w!>v_XyY2$`2O4;O=ry4Z85f3^h{mb+!TjpQ8PxZ?0<w4)AvJYPKUtOma
z#{4~wg}97zPuA%<wJ+WT*HlcJ&56JvclBMS4D%j7KLQ|&qZ}3%zyjCSG(F30k9UZn
zz=!%F);I2|Lckqcl@&fA4x8#sS{0a`(@sxH=1^Nyiz=Ok&5lHH;F%E45bYI9q-*wo
z)-mnGsjj;Il5@r}By~zh?I-qgoZRr>7=ZfNQA8K4;Vyn0smrSDV3Oo&(P;~|A4~VX
zXHEUIY@~m}G$+pQ@9p~1u7`gt&zC8LV6&@y!~FE?wlnVpFQeohT)<iE=6izwoQUSK
z=`-E7v}1q7>2F~iSQuNs&Ykvf^T|w0tFoRwbLL;1*Llbr2}r70yRyeayV7R<Uyl8}
zSjqR6M&ujula_ShOL=EUkAIljV~yCYzL7y!j1kSV{LeqKQi@Qa{C}B4`gBa}TFTzn
Un(Y<Kh;KmNvSTyHXwT{Y0@>)SfB*mh

literal 56605
zcmeFZbyQW|`Y*l_r9(hUN<lyxq#F?lK@e2BySrPIl9KK&X{5WmySro4-FNcpd(S!F
zJMKN_`}^xR#=UEdJw!HZ?YW;d=QE#AJj?fkqzEd~QzQrkf+{8|Bm;pwtcE~fUm(DN
z-+TxrT?YSfTECUI{%EFaZKq+W19`7uZEkF4ZET?V%vQ(J%D~K&nVysW740*9Yin~W
zE(QjZ|M>^>W|n#k&n00e!9@_wMHQ?d5Oj_E7tBxoOalmH=DV2C>reJ^&{+rjPop>O
z2WLInWG|k-$o-Q0P;esT$&*QK_l2?Vq<#e7ee$YXsTCj5QYVEaPEAqcynd_rSUk(!
z1}3afxCzHr@WFH1BJUsJ#?1Bn!f=A%<mjG#2VN;+%YI&~{xen6-I<F%&h@9cvN_lo
ze;@4X*0vDRzYo^8o%DadV?prF*4O9HG5w)PT<Fg+;}xRv_X$gEVNlG!&nQpUj{N(C
z3RLpyzfWi}c{xe`_Zg;d{xAIqo;V@_71<EEj;#2rcp|T9eLMoM$of6<?bS#@;e6N!
z*@D)Pa|f<WlRx3Cw0&p$d3mJo#@T6HUe9}x%~Xx?O9p#ct#+-yvb}LBIHT#9_%R7I
zuI%maNUuy8;HCaIZ$M0v>WttN9`mE>5GH$jO-6@>;S{>(%@mlA$NMLf|GxjQS$dHb
z0Y5ab#G+!QGNVPZNQMJ=Lw7T37D|en|Gxk5GDYGufrG=b!Z#wCoT2^E&G>z2B7Y_U
zp=c+)1$V>}sU&T5;2=9B@yFOdz1g7?qC!qi?oYrTI56;GYcxk>zRpEVOsr9zu~5D7
zfu1*|O+$Zid+?>eGbJ~I*BWcODebNSo$L*h8k}!ksh}NSN`^n^TG+DeZcA`NyMEoo
zQCZotkdC(*dh%8l?mW@P<>r1GY-E=<V9Q5BYi|33bcq_NTU`$g%7se4+7~D+l<z4n
z@xiQA5&xAo0u>dNKM8-r#)iIbe?o7=7g!ikQBiY!9=On8f;RNb(WF==ya4Fcyi~4>
z4cBUGI$FRRY9xn+_c5r>gOeH@qgk5g=D62;kg)5J6~m23XTnWnd5z6FL(?|X(XY-$
zp7!*6c&LRapYSf^GuqeW?bu<+X_Pj}U1{iY5z>}~<HJ~4*;C_?UdKI6=)j(~#?09D
z2%zi_FGc<~-zw0bA&D$5v{hImGi{@_=sF!44S`8ueEERb2zHJl(~FW+u92KC<b5n#
zfLYyz*T~4Hsd6)P_eo=lSFb{nlAbj+H4#3Q%3R+~RyaeW-MD(Nnyzzv1=ZmSa`6eX
zNaSEa3qI1pZT1N_uXx<I*JG3Ykndgb$#IM&Srkg&_W|BGDsReAliEkQ>*2Uzjd8VQ
z=yJo3?giq?DsLCexEGI5IPQkjVM5TFr<V7{r1WiEY(ubdOSWFt{LmC%N-)zy<Eh8F
zeS%(Z0X0eW8L_xX-=CnKh?P5-qc4BL_ue~ia{u=ILi)EzA8`v`SK?4gDcy-ejZ-09
z_fBonSFeWVa*WP)XRWu#0@zHZ2J)2HhlYoZ=n}@zPqntMj;MG--XC--%gkSdY&iAe
z`O{l)w7z#KEVfM9cBTnzVuvSu8ln_a3ty)CV}q;vyUE7Jx+A?ug^x*QUwi>>!Z1$K
zPn0<c8}kpOa#<CGs?!KKMyqFn+YJ0zY;Poeu{^MXxr{D%yL|JH^7s*tPB~wZVq_uO
z@NtJGBuMJ&QhbF&%`Vvm^W{`~97~F)aafAKcXzhh;c_$6;rgK6h@7|pqIRvwLgD0;
zQ43uelc>3NIY2g1rZM@h{7#k1*=c{tm%i}kms_;L`$v^&mNeH+Y9}_i4Q{6f`79Qw
zcaw5A0q&0`B4DefxG9K(jSiMIl%)LqT+|=EEN&XVBEks)5p7-FpU>SYAb>MI8^Arq
z!w#;>>q9T$wBC3Oc^|`)^`XvaoW7{22+Zh(iC<dAGZn$);t>$@yPLD49_D`Y>vM~z
z>~+=;y5{E-LqfXLj!F;pJH%mlX~G=NM`4pztdnbVS4vFQKK84PiH%+!GZkk-N65D?
z+N@JYzopSk+4i*1<hU`pTt-nzi022JaLUw<v19TY=#<*fHUvUn)zoftQ@mu?M$(t4
z#)oH6*!zU|u*~@FW~cZ#wnfI+o@o<h$t?NyEYERy+`G#e7z|(K+O_68iTxcZEk>2=
z(=kQWu5-5@t(B`F4thq6tm2wCn)*lMbfaUxG-HR0RKI%3`yuD#(U7us8<s9DE;a^}
zi69_U6gjYNIrrx;ET}_Xz3K}<E>g^^xjyWcr^Ug<#N;qvfY2$HG-wy0rm;m!eEasz
zd_kZ$Xp*{{;Xwm)!?^0&XhQ_g%Nw0|pXPA2xl~9V4zKK5j6D5aupigh5>jrJtq;Mk
z`2NV4sG+1I1tDmzoVl5IJ`pLJUa2A#HMQpUSf1SV6xVz)4I5hoNGqx?C!cwEc@K_`
zw6;dFjHgNv)zs89H8m$n42D@tgCis5bS?(NR6ydNK+++v^jsm~lKgOmV0m_pB4F+<
z`tA^^li&P0X35;HJA!=hxUDQQH_{Q4SZT-IJ-g6Y0rQ}-&)`ZiEUekY&!m~1zD?hq
zn6740UKv`^FylXpbVk{jV7O+(2+?pY+}-Cxal~^Uv2dG3yPL7vTqKCabrmdjbVTqQ
zG3jhym`uzr&|-AhAD3=E@8xbL#0v8nF<6zwD|{H3P-#y@Hc<CGx4+*;UYS(0*zv^B
z@f7N?`Tg_HBi?Er9-b(6GveM@cD?icMgOO)->1#$<L7FfhO<6W`U{gKCnpnfS^FGX
zDwWmN)Wjva-9`@#3@G|i-Kg;oY)*a|F`9b3w*XmE!+X~@^CB1L{SaB-qK?P&;L-74
z@{4sZ+gq0NQQ+*8KA-r)(3rcucxUY^j`u|Rrqb}CBl}m~r|AszNk&=-d2R=>N@N2K
zSeM=$uc$Gyx+UN$?l8~Vap+Y<gtij65}^-#{QSr`Iis7J1c!!(><>FBCrb=MT`Vst
z-p4#9A?c6fw1Px2>!BecB1W>RjgL+o-Z}?fmxNY_&S?$A)CY&U{y@dLQ=l>NRnBjp
z5-3-byg1^oPPievGa=X*TWON(46kB-0_QdD%76F3@$^is{F@UgAz@g@XF~;&Inl!S
z`p>hEh0Yr%I7CFqEp7ba?AL`6_Op4S1`+II7i#m%+};ZHRn=p^xD9z&ur;@P`;xr#
zt+I4HNt=9lN(w0$Gajp9SS>U)h))wly5^vbfW>&?M?Zf-t*>?7DvnH>i(nTA>ZW<x
z&2U2cOXhHQwOPrd=LJ*ULG+h2nX)}Fq3{^>cPNQ#gM`=CEEm;d>c@xA4UZ$kRuk0c
z=ZRa@S(c`=k&}aJ*IRhAh!TXS-(NS~lu@>6U%%oiH_}oH$|rswPmoy6h_^5*X|6?f
zPKw2*H{CVO{>_POaSUf`lstd6ETU|VvG}a%tW2+Ipe7-2e0%|6|HxX`npBRWi$wRV
zOeGO_*E>!vfuDr~lh~(-+#Y;sy;lt_eFMda&Xwr4D-&H<9wui4Yr0kCSQc;T2aC4_
zmCB5hYiefZijk8{rpt0wsv~Br?TT%86v0}G!%H41@i;!g^CxbpDGh1jC7|l%G*q)Q
zY$epZjg#nJbX#k&Bav1$k7;s=HQ;t&4Zsu$skKBSh6&K;y>-%@QxsE}L+m4*+G(lH
z;w2VVDoA0tjH9_yVkfUMjA?}2C^h&Wc?G#mbw{ua^!}(wIYl*Lztp4KLJumDO%YfA
z80xsM%q{OYU0D>#MLkGPiVMDtS<}K%Y=8JoD*UlQz7scw+-eAKb(QVT_ff^!T+Ss^
zB-?`4`j2XmYwqI=MlD#>su>t}z0?o6>8)Y732iI5-v*~~L(O1wagbL%GY|HWo5&Vs
za*yCr#r72c)Yqn6<e@5-H&hHAjZfxaAX>a`UC5Tu?dz!%?W^Hm?%`48<LdkSEi@J6
z(}|{jjT^6_)dWx*zf-eJ+Ovmz&+~|C;Qw4{34xx|Upk*Z<MK-w?iBHv5mi_7C;rFo
zhfT_sW7pnjB<aIj;dhqjeg{v8Cd3R*pHI0(33n9w5~`dh)b8H8@w}P%I2>0>@aJ+e
z-2f>>eyHyaSTRw76PP>2J{L}mS8j73%;bX$g{P>0rWC}G^C(p94GJ7A@om|woYAhj
zGZONZFYNnBW6PiZ1|Q*GOy9+S&R@bw-tOZY6daR2Ta<lQj2>ETz|`nMoZ>3MZd*G8
zOS}5*_S9v|vlKojyhP3vE?4N<mEuAvv}5{`Ovix|qR+WRv?XGfU-te_wQa!*&`vjk
z)6!R@?mFoM$hVoZr_ax7Wi?dJhq1k>9ohXzZ`CGCpC<mPuQ?LIIR37+|3h?yxRu`L
zi{`$`8#jJ>@{Eeg7lTarF)^{Ey*&rBUSDpZ>sYP=i`iTpD1nJxj-^44RH?FFtUa5{
z`CtYXHgvKW-ptI5@9x@4u|)s1urORd&k;&%Yb(#)_0fz)I}y)83zkG8-)wO8%ilpC
zry{RT>pM95cCM}`vUn>TNZ1MXe23l2bx}#l45f0@QyV`VI?dggN^L#8qnoq&<@NRU
zH|V@AplUG~&IqWT+b*b=6cT#Kf4vV&;=B(NO7VW_WL$0CkD=}vBjbQ-fyHtg7?!te
zo+76u?r#{f!j-1sPdZ+SM#N>lG4TA#($<!ZkB<)z1<vE^SFq*5HfX=nV8o-YVIw6?
zX{rhd!9*kEXlO>~?@_UvZ5>P%fnkj8b-vmu51f4d`{q>UQ%#av#*0fzQgCri)x`w|
zzqYrx_vD%`H(PJ<#VRqKts2^<!$Ah4(_HBYj^nWK0O^3qYE42o;AyLpS?wbM5aMdP
zz5H3CKezjJCw=htm_I%<_^cBBL67tEbHB0f-rm({y#$S^5`)kAB<!YyXR{zfNK3Qm
z54Z;saSs)0ym36)daJ0YNcWcEcZ6kFd+&$F#jQ8)nUb2?+12%+!LamjBQ@x-jlk?N
zCZ<f*uG{SqNl|feG=~K#<Yariy}jLgX-U&|cgBEZEh;?xvrYly?@<NEWB>sD>G6{%
zLK+&+)twBNgZOVde6c7Y_UrL>`hzKtigkN6k2eOd7t!64-umH0_3B=p?e#}7Y1uD&
z;%<x=kWhsB_VZo!)Ww6chs!AP4=&_N(T?n}=`d!~VvA*{a&2&jp;f60YiSVz!=lL}
z;dNwjuZ5quz{J85laMH3hzt+6fKL2EI`a5~|3+{Cm`@AwCULE3D_aFc6$qT6vD2TG
zJv#XC<j;?!{~;fs@8OtbbtwLvY@E|X1l~O{(`pLmPYjGQwIfG3@hkTy4A)C|YvEhq
zx&H|gKW+OnwMj|;Ln49VCvN!<wl;~zd~Fos1Uw1i^Ade=kft8CoLJfF{~7m^z}6(W
zDVg?!5a!z2u)&)2R=c%Ue_Aya1IG@u@K5S#`2sRnxz_P<hV)&qeBX-Inz>hT^PdTY
z@f-c7SNLFwXJ{RxHc+OO{?nV5(b{riVu;Ia0c0#JVPF;wmYb=`$jC6_q0q_~HcT#x
z5$zvAEz<ZNcZ|&oe~7A#-uR`ab%<(iD=#T6<GO2?GwNXBGx9J8JMc+U<Aay<_0}%I
zRlA><p#9$0GI}DUr1?t{oP-_TWN*RtIIj1rslR?^I$SZ1D4>ESGAe1#u=JI7$7Aq`
zc>JzBgM))T3B0jiVBsJ9`0-<*P@Z%bDh$=KdpyGDu>|E=n>`O}o{HG=<k_d_g{#|u
zGR9HYKj9PezSE7TAvlMfnMd*xavxkM84${k8b!M6^q6!~cl(l;TL(Ww1V=V4;2vqU
zj8!SK9XOpoxGgym5dgO_O$Y$$;P|>7GpQwF=68)YQ~3%KB)5wu${}>Gx6SS!7&qo5
zl|?JD>n4n@IF+?&j1~~jgc?%wk`u(WDO)~Qv~04NOtI8mtP#k3{Ae&=#|zOdj_&9X
z_3-dOKt{Hbr)|wdo;c~WJ7+N!xSGFd)7be7RPmG{ovt-rsGSp0f1^^;Xs0^==z*!a
z1W2%`3jDe$^!3D|M>>p747q%8%#MPv<TWjCo$VgCndI8@Ddp}j_ZM!xl-PkI`WlCm
z;4|`?vcDlU$Cy{WufBXb65T9AP?-KYx%U2gU3vRkj^~T!t!GWc>H7*?*VZVvgRssj
zq;H<*H;{WVNha__YczXJVyQsD8U^EaD#*uGa}EYSf&Ff}%p|8&9<5+PaLr@%2_cWF
zk%^CT0J@#5q;+HE>K)NHa(-?u>foGE>z0TOkL>=<n~VKhw7<$lN$lqH_hnXRO@mKy
zjNkODO{!l#dq!$G#y!1YzSz3Avj+7ny%Z&-*Bo?JN<q%%%e0I43K}LP3a=;zweLGA
zDN1JM(AQt#J}cTSG{86&ZSPj^>9&5y{^sq?%_W49N%QjSTX^bvi@1J-p4si6K0^7u
zk<p{|uNB<Q&;?C>Q%Nx^9g$DpD6rz{BbPbYhXirbzQD*@mQ46X4woI<*P-uT8I6W4
zwi4qUt?)}^+%tC~Lv!#tSLWlEGiBo&Z#0;JG_g>m)oR-vQW~1>1nAae@%rcT#l1Z#
zF|k!Ci9DXChcXSLW^&Y9!|go@MIR$`*9nFLWU)f>^{1Jz3UY5-k2ke480jj7%T`5C
zQp}!R=6wcW5E2^{xwNyh9+i}jMO4QF>t0?S6iQ~nuyf~tlv-|9YV(fvv8xt8lAWyE
zZujc&g)(=Ou$!2``n)=0G`(WGA=UcrpqZ8NE&-Z<&&_5Wj@&A)8%?klj;vC<rl-y(
z<$hhI=hu`fzKtqrWC>#H>y(9%(ZlW}3yBA<@FOm2#<USRZXU1W_a?Ck2~h-ug}rKf
zz`k(U&7k#5o{)>PRy1CxcE-=Wt;5HtP<59xPejI-rck~jce|iZ4}(+u%yvmKf92-=
zo~O*4d*C`TArH0}hm%pcgX80t{{En>kC{aV!xYXgF226Lm1}H=hlkm;{4qs-W_wSa
zdZ%$?b-F|J9kr&#$HaLNgYs+z1U}1`(fXdNua~&c^@TO&0c42J(1u`by4LEor0Lyi
z!@F_V9hu+CmCw3$#{c@zV!C_`cUjBhD}ig8YrGq!6%kjWQ9G1(fA@528_%EO_Gnk$
zG%o!rFec4PQTekZ;>@Yb$(y8r1``v4(CnjX;ms;(Zej%(Zp&<v7=n#Ql*1nna*tFj
zTcl+RR9!|>&$q4(R=`$L<8Y)uSHs!tjjlKHQ+merYUg-&HdZp8OM`{W78gaBjKWL`
zg_u~KQT_0=Wg}fmaY>nvn31vO(qbQHVNO)!?F&nj-GFSqK^+L(w`8Hnif{AZJjxH2
z#`Vb_%aWMtuXOwrN~1?U_Lx>uy__@sxx3Tyb_VyeOA4~O=)-r`VgVMuAF1f+16NkG
zk&uza#Ko68DHFAaGu}($H%%Ds_wtmOp}Fw6!qi6uIOxw4?kb$rH7`G|9Kd24_@%LW
zSnRfPCh~eu7Y$WxCELdA0lLVvYr$4Pwh62~#aQxlU*%E=gMBq}6iRr%9@&R^tXpST
zyzHw_G^FG4{MPQWx8Yc-dIe<leqYoo7knO8^36^?*hMS8alLg~oIJYn5@t*(O-;qL
zTML=@#l^-Bj)-XcDV++{>E}HoJX-Hx?+7M)K|z5@NZ50_6N$%cj{T}mf^@k%?dg2J
za>6xH4#)YXpE~1E;nlO4xf>6cS>N<TbIk*5o(HjyISp|r)ZEZqxnizWj2Im+9<yGG
z^E{Y23v6hI<%6QBK|S5{nxv;^Vp`y)FjdOS2H>eI==$3Ps|C)-i6<_*i|L+TP1K!K
z^CN9lu5d>w7dWzhm2zra$1hybQ;H7i9NXSbmK{i`16x6GRr@?v#@RPcr^WfJXIGKZ
zHWsh<)oB>n?F{Wn<yzF;nJgZYJOt=)S6RuyN=*s9)ro90N8B(%-1XB$kq+|e>MFLQ
zZSCFdRn1+UqkJWIL56fmbjgF%Ok4x4%YpM#N+!oEO*)3<l^|wc2Pf=IcIRea@?nFp
z^Ov4iY{RyPhDDM66i%yzG1r&)dV7L-hfIxRc_zG?NL|LY2+k^p1<Eb9AH(o8uQ<8g
z+U_o=iA(91zH7oR=Fu0fL>_T&+U^eo)cSmC?#FT^fF+x52=Fu3A=%bASV}>GJAWUw
zvktAD^>DouR5kP#pVPG2nZnK)eHTfu5=Zo%BTCL3L0F2Rfi0Q=ZkkFt!s$Uln+Bf0
z@Rp}t+A})*)N%%jc{q7GoGxUk<we|;o&lmR{X!RlpI|BzkXN<DzXaGZQhd*CDL-r@
zWGW@7X(`0=W8}hY4Yn`?354gt(~r&^u;QKghvfxHH47|o=u$NvN<}xDW%tOpuDY>P
z+V3|`5j7dM`@UrPPLgn?qo({G0XaoCYNu>A45rn)61=@)TgI3OOM&I4>g5x<LLWxJ
zXA4e6p10B*`MXF$07VjgtBhh#T|J-R1lC8U(W9Kge2sD^{fQl7$-G<kvBOt|ii{Vm
zE$WO5izGr0uLG?-{?v6C-qJ<l%I{7OC*wE^zvgBI!47Cn2z?KNl2`P<f!=LU^%1^n
zrYs>!CcE=!)PC>})RtlO757hRs0d2KiZEecGW{@)6v1dUV{}MU!g-<0&3<Mk=Zn9E
zt1JQ*z5lKZ1yqo&xD80uT(g78pJ@4P136=hkYCCN-PZQW-y!(U;x8?fh6A(;419dw
zNn>4r%fiQ`;y8kjkB<$@51_^ULpgE`fH|@r<Z`>{Ruh$w$hCAB&Hg-NJ^bE!Z!X?$
z&H>&%p4;w~!{JKKWIETTVvrR;NZ>bZ{rv@9C+X?wC`4ROiYI%*s6M`=rd|r<-c7RG
zoAbwGdSG6!MSVY#rR;mvElY<?B=7}*k#ML_f5gQZGnC8I8c!B^j^!z-9hYv87qmAw
ze+{RRE3#M?4kYGP%#t)Ppvub1!c__U{#_Gn@wp1cUIq2HF@X5e)Y6))uppDoDHT5b
zMPCuI4Bgx74<Q$?*vyE{R_1rRb*{48la!IcBw#aM=w_%-)9X*5RjVVEl9DPjnO=)%
z{|leDU<05=y7Y{Q%X(oT`OWDnApbxnjWtxeCuJ^AcaR14=4vMaj!NeOP-f}&YOj97
zQdAT{RaF%dB|+gYJe|%@P5pgmx?JrBZB$y$Dvp<z7ZC}mYU8q}M}o^1iXdQYOq(f{
zn30qOalgKHe#)W`sn}!sOV6|*zZWbyL@g~}fdcn*_4wEt#46k6y`&@>3``j%<@wcB
zXlUq1joMbtMexb%V@hUumKV<A5wyvlb7TPoga9<&2e5B}M$lG94rgB^Kt#=ltKGj8
z^Kz9dLjZd$o3AVeMgaHq3jpa2E<ss;EiD=_w}sLodZU<Nizg)jr1l94Dk$m$m=VBB
zY}Yy0E0YJXu${fVkDf6w1T{1?AQi;&yYa!op;T-fD!`)?ujG}_74=W92IjAFsCBu+
zz;d`=bKG2=WdeM?va({nS9?}uwJ!OT)vzUo)yUA^>@P^NVz_DGPfA*93_!0x5qFu4
z10b5C!G$3^Q>A27R9Q0dHrr!NdVPeuHAj-Nx$=$RrqJX{iHn0beHDszgJWX4PIsmi
zN)5wZ94?PHd5#C(@EmrKNyKxNHa&zYC@281nW}3y=6gS`@15G3fUcI$lf8O)uIJ4Q
z_vq22(@f>`pXk2@*@1NFg@uJhT6+3trFAa?)1-=uDAig=3|w3hFby~@R}emCNWiG~
zL^07S6n)#Py9zu%x4%8k<o_)13jNg{#p}ezZ3|sEXeVhmW}99w?&|1B0wrQ;U1Fat
zXFL8gCZ=E@Yz0R}b%04nO}Gvs1Q6{ez`bAL(bvAf6E6VCrPY`%G$!WV-R;en?e(a?
zIGPci`?1OR^`V95d>_<L`<N-2mYFGcmDYgHcb?Q_3FaamucLLkqj)5Jo~1*J4+dCm
zfSUk|a;VZu4+XAy6)GGrht+=3v<yEHWF;>zpH8gdhs%&(2sQmP^*{eL^@Tp8R$F}o
z)f!k(@k3?I97`N(X21U;Eq{nn_;0lMuj2XuqwxQO!~Y>1UTVu7%XW*L(i*hD!N~g9
zMf>9;ie6V75uhrRe-@%xzDv61s`0k<Mcm4hrFr9p@|>L9^I*9hi-@QfFje>*=FcF2
z$Vc;Q-B@jWA4;6+&>wjI5dMSx@e^+TiwKoO=j}qgG{fiUHDbkI7`V7mD$&A}7VEDT
z{Ccc(zPf&MN>%^BVPDZRj$jiziX`spHR;qBe&dLU^4%RiH7P;7=BuwyMJATs!V!vm
zAqi4f1H>8>g>T<P3iky{3awn0T_apG!?Nj2M-Vtp?k0PeKH!(i^jc%2KajrXot%$)
z+0!yIhU#3LAU(Rw!NI`~A3egr!C5Pm_ou*m+iofEJRiHFLqz^lh2v)3f3@d;@RaVI
ztvn&=65*<>y$$cR`Gl>O+t`-}QAOBe#9#U6lfKElw|9f@nfmw(`S5^we~@0@6_0NV
z=0s&lMM9{h_F5T%Ol}fWRgW84{>#d8;ToR5pEpckH7_nk@R4&70pHA{wj;jWIO;F>
z)r;PVi^~a*H&$!T30uke0^k2vP<t<?IUK&Qo3VgrVq&s}P6RvcR(dbD2aUg@)p^@$
ze0hYsvcvsAmS%GL%tHOZF=hr&iDt)FboP~7BHiGlb<_R+JD1kM@4R&@Te*CO;?^+o
z+4A+<EY~jHZ{A>H1gq7QVMr!qo%11-C9lb<3sMtOn+vLw0=AKEvP=l~Q^IXClJ;uz
zor#S-;7!&;RW>&_wRLr0=?^5m+XghFfS}+5kh>#Q9eqnmSjtRi-{r{WoiCHzZTvV#
zA*P724OkuNqxCMKB<<5GZHlYKcCuFKfb`7fRHo;TMn+@T2UPvQmbY$TvlbQ-BBUh4
zl_}1-C0(MWVN@$`BPB&U)6qQ<BStPW5R^=?_$1W#aUI?rh+GKnpdk44a=z3E7v$6z
zFJ1tO@7tttSwS_}UZc2dwsiggUa|B;Sz=TNswBPAf?9(i(RW9F6GwZik+X9r*-|9T
zPF<2JMG0mS?27M2t5QtbC2EQ;afdU5qMKMyMZ&YAufH0cb@l`F`@q|;f&WEF5p-+2
ztF<&SJYX=>wbZ6B>`ix{3)M{N)NAR=dNj4EUFVuwmpDRSr(p|QLZa;$T<h-TlJlLb
z`zw&R9$_(19NS8K7)Oln4@_Q$;&Jtrrta{cF5-{WOmVHs`fNI(I}qHiC;iM%XqB0j
zqZ!QsvL7IMVLCcG3L_QrWK~@+bZBwJ(>pf-I}4Jo4qzTjiKkJQy@xBTP{fJje9}M7
zA`8tVBv<jNgj0_z;*EQD^Nz_KyMc{+9QvxD8m<=oyAMagZt~8*N5NSi?k4pTTLC!M
zOK?~#n(pZC&MCUq@1n1(H8Kw0Hg#Uch&h9H*u7EB<fz^n7k~RN;;EI4NC3dhpxTq1
zmN`?%H6NGZkon}05OTzN`lXbAuXW{i?|JE3Cu`xN&`Gm)jsK7ELs*#c#)q+iLpsSj
z^MKM_hg({+jw2FjuUgyb`Qk16Nv$2iW2+>0yPp#1^nU2#K7t^S%G|1o@M0p_i88GS
zQ29%em=Um{$eEmMjUGc4ZuG1Dvi_}l+GbU~zvRadl913hQ)xvLHeNz7?;N&P%QcCq
zLTP1`M}(23<PTTDo_#5V+wcP+Y@<r}OjtH?;}xX5T*wzx%J6=u-)z5(_U9m!iOhhC
zR|_?u#yX{YhA>jpS|tZ4)yU8O!o=T?Uf$g7xn<hzSsg)YF1K=wCknsZf#29WIgKmQ
zo+z=U%xc+vaLxGEXvAL_NupBimyRx(TWb3@&9s66bBwr{SGAT}#Y01$roC+?5D2qh
z7We0Al{B}n&x~Oo@51+&TFIE-FJN}eg~881)D#c=5Xs6`ak(b)he4q$uky6<O`fq7
zYrz(Al>x7PR%)n+6=S5Rt;)}zKYhR&1`PkB22jH|Z0D8h4`-kP0TBKfu)5scp4GF?
z*)}#}IgdG;2bjsxo7|P?QFTd>FUXY-J9p%q9+oh<a9rsTo}PQ#vl+J~l<&d#J?a;x
z^Ce_O{@VFapifH8V!wFM`uycAe)TichGv94TTi#0FO|{e*O8RbEQel=!TaVk`>#0J
zh3(WC8*<{4OkksG$4{fQA^hk{n8rdzCtH{p77++;Q8vsyqTYZn+ho8mKto*&9y7OM
zUT>o$wd8fmClZ2h$VKTm*J(?4q^O`lAvS@1T{_PGQ_`YSdpv?p=_Lb0xs)XELpkM+
ziKEhD%E|tyBmO%0HL6^;Xnm(KY>lv$xsVD1m+H%AMqfH!`UDsAWT^hYcp&P{-BXdd
z2oeO*ibw7rJMS8Eq<?-qeLdryIcUp#_ko4*O6NA8g0D;{YJ~7>BOA(Ef;oq6+o?vj
zZ%~LYDXGnCzsr3^o|*|5)7v)LQ!$22uNS1G6T8W7L`Zfe-w1FfyCP=b_{JxBOT=AS
zwx>#IWOKslRjN3+pIH3xm^C`s8^ML#q196LOqkCp(imv<K(D5?<lptFAD^}szt(Dq
zK;XVg^PQpNU&5WnLZNq<5+~ArC19n7aPT=LhYcU4jDDPMn+Bj?nep?g6}fd%(%rpl
zczRVcUwZRF?MUT&Ws~s&4x*mBE(M^bi^@p%kxz7#Q0;&`FqvsEF!XZ117ClCPhUJF
zUilKS(Z!pa#q>`FW<g6{-9jF<1uvtj?{t`+{u2G;jldNbdc7BfrNRQDhh_}lps3n*
zuRuZ%(3zqno}?AD1AGcFw|6`JJqQCwU@8El-!4r|Uzlybf*h6=G_Y3{yQnxMn~c?Z
zsC3%1`aWD}@aKPQ?CRr)Q6}>K$<Dm6=@#Zt`@FD*F12_4NGS6k>)uST@TA}WUe?q+
zGxEjbtz{fVe{p!>CgZHlKp7#C`O*lvz5dQe7gl8W=R6t9))@k%x}AK;c>`~K_s1V?
zas&x{Pn~bP2d_PK=6~8lH1EtzJS{)oz+G?6d*aUaT}YWe`4f_}6rkJvIsQ93P718L
zBl>zN9aydsz_SNRXOI1T^QPwJXih6#&l6Bwr#Kv~0h;QS!O)Akn^UEw<>ia%`CHlK
zIhV89cA!*&Ononl6x3aQS2C^i1g3@u4<1Bu+tFWKT+G<byFdsz%-!`8T_S)26@`dJ
zu@5+EF5|@e*cpa|sK~6JI|w=#7N<VOz_3UF*L!6Pl}~Wm<qQc8-5kq{b(u|h>vw-S
zksx9nAi>;Yx%EW11R%x@r;Fn{)iTtbKX7-uUM2w|B?RDAu(>~E*6mS0g-%}Y+SLQJ
zgy;?cV<Pu%#aG~=v$VAA=<jdu@9($Z2H%=g=FL4TAS6Vu1OPH9*?=tPg-)Vsa0A3i
zF)676TLPfT(bhViXbz=`VRy;pDYm|6pA`Z|HV2^VLH-NKcL%r#t$5NOSoSzLqJV)9
zD21IXouNkh4BLVKtEf6wpe6-CHO$6zIRh{*em2z_OnEy4E(`%9f~dcWh9WY$4-Lt@
zVrB-CE-FN&+P0LkQ7Heji7I=8?Jc<AAFd(0CgRiQwfu2Z42*j?D<qUZ0N6#bckfbw
zI`D#$a=IIA;`fdVfGKfZb}mo05BB%fSG&URJ!GjOK~v*z-@g5&*@^^I?B;PbxA#E9
z1Q03XUzmb6lk!<%5T))2Ix+zCD=Ikt!92*G%?^S)<{KDT#-OLI4X`+xz;Eb&aCUop
z3vlo!M;BLDJ_iQ}ppwt1%F4@kw3E2?08qQ51125_`<3M%p?9%1cw50lg&nfipC|<a
z4ZenEvlr?&FE81uh)*^y7USDqK0d!~$#R=bsv@!MW@Tq6RZ*oz<3m82gE*e;_IjZb
zK(_@21@{jR9~kon0X-hv+$T?-K+0O)1Fs+SWIRtv1h9Ni-msLElnIcbd!ccm|AhsR
zR9AmiSy>5LSzX1z!;{bIJDYdw2T_nshWb(_s9&ESU<a-?c_LSC=T{rjx(54YZEnK}
z05>5Kx9!7cz%K^K5V^m`40Bdx>f_VF`Ijxb<8x)<xU{2Vl}pr2tFok78gTIqWPhe{
zc6Rm&4Acd;rKPP+lMxRA6}5C+sZjm3=feQ*6Jf4tWZkB3h}d1Jzs2e#tM$HI`Ckv*
zb-E)gmIK&jr}{kGH)ieT)4@DB-kYx%ti6v&sgc~3rL3%MDX)o8zO0EdyQZe5e4R5V
z$oPO@vb;PtNLngg$wls-*{pg_O1l0huq&31L^~6|n)wRGCKJo&U9UoFgVBh2I)Egv
zllW0@ttWcMX|EPKQyB`j@n5>VPn~ALI3}H(lo^1m_mY<OVG>{|thYvd0gE85tSkY7
z&GCmtNCKWQu-Omit8hc!y?bZB8ZHO5O1KZcJKzWa<)F8>`CuRL0iW^4URvfE9#t`^
zH$VbO_$2`|U@%j`bnk|=ru))04(LS-HOHs-&S~Y~VkxAW5C24?<XCzf{VRzgtugl#
z6nn%DD;OD)@rG_lNv)dCU%o_WxD69<uXQ>bD$)_ZDtu9RBD@964DWX`hU0F2xG@2;
zM}2cB{XPwv&TzB^5a_9m=PED@2N9!Acp2Ut4@;fe02=HGF0R~^Du5{@Zr8tDIJvoF
z8yW<zZ*Gj#&4i2%x2s^vtXzJRFd)T9f_UJu=zs7u68k)kYo2&Nr$417+`IE-$d;Ct
zM8(B(%KA{*X9O%Pm_Ys^1vMQ=Z&OZWy+Hm26Kwx{IS4Q)_wG=1o_$E7>m?OXRYA_V
z+OJ0TUjJfpcnT84$kgp9Hah<`BaoU(%WgmhoCCK_ak{SKBLAccrqJ!q6=2ny%M-2r
zg~pyl{`#TPwCrtUWqy!Lg0}-4@7oAEbaL{?ga5(3aL*6JlQ@6SxVWAZB@_1l`N{2I
zsWrSS!R__}shitwHw{e8)6T88X}dpnwuOHaF1V`V!v1*DSrYd->MZ@QW`mKaY%eNK
zLBPrV`t?iFKuIV+ARkzcWQKpIWRS*$g#NW*0lcvlcP-P=VIw&`2(z%h`A`0Nz~R_P
z3e)qHO>vq??ZMppD3$)Y1jvT*|6dG0t#oMtOdktr@V|Of0+$mX-4y04V^SE4n>eDF
zKRYzX4-lZ~d$#>s<%M;OL)azL>;&_sX&162H#hCy<;pX#jqiXGz+lAfMFjIj9B14j
z)cnuT{umRe=$BeTHt}3w_Yn<t{^?C+ipkG1GEEg0%ODw~gOzl=GaVTg_5|q8$T+|Z
zZ!ZIX&ErIvh5oSUq#Wakt|^5hbUex#HjXIbe-82Ao8#GQPw<j&su%DV#0^|A6x1k-
zZ+qP|spzcq31y@^V9kb%7XbhEMyO@gnEO%jS)9^sFDBj-m^Y*i{lf~<m5DA6`vtY@
z5m#>TcAkwc(gPjs4i>)30W+BAudr@IZSsw0gzXuTrr@~f?qkyMHbezbip#NPb<bH@
z!vO$*RcDL!_4j}A@}*B<A)|L&@zL;}{9PMu*Z1!SXou}QJCC?{?a;IKoHqwJK-}_2
z+2Pf%DH_c4p`sYhg~MgL%fyd2c1reV+Agv7XQV#pa?06eKh)K2NKp&4ib_0M!m7li
z>}$}<Sy0z#J={ZYT6)8n#e9rxA!!Vj+X87b9;H-5PoYLL)R!I-+9{;1omMM14l?O`
zWo1IZI2~_|`i+c?DEh4*?|u!##-7GOfy>3Axs~oU%Hzer2%a)8gtTRPJSvo@Dd_L=
zMvNsQ3csRy`4v~j*q6Th(RS`ch$=%KtP%DdJgLoKB3om>XLxtNs(72RyVhGYbg*H!
z<o8il13!FcPmlIM((CXsA`bJ01ZWJW6$RMcbV0ak&X@dnE;mw3pUSoC?XETYE6mjI
zV0lb=7i&$8mrf=4_=vv0>aW|vqQz0az~GQ+^;WEOo+mCOuc4Q)j@S7mC`@eJXR9wy
zDyO5ym&@yVa5RZ@&yFeJW<3MdAH>ELZ#nsmH$)%QIi81L2MG=j*O9Vi)gNf6+dbYK
z#tVo{Y(F|X%S=m4lX0L4@~U|<P~0_cd~+pt|6<Xf_4w)JC~XZL(J8m9{Vn*5lTgk_
znU=)-uzouo7;Ud}!jJ)&5Kn_n)*?EL;3|5@F0QS&*4br&*gn<U(w4H<-Au15lM8Xz
z9-B8qP%`}HZ58NncCT-Q0&ko=V9Bi9{<r}s-sVufzHt-xo4=`@;=;)Zucy8AU0>=6
zMBL&^KAL0#K>khpB$M(DhY~IBmEr2pKm6mbpgLgVi&S&P_iL5Wu)J(1cJc>vuFW66
zxhI;L2y=e(_>Hz%f6DlLf|cmKONuqUYDL`BQTQXB$kLiW(6W_NLO!=EC^xMtv!lR$
z1&Tk0MfSh9heK_E@`2U>WE;R%v&;joQ0HIG;^K948wR8TR<<f&6B1*o{k22Bou2Tm
zU6%V<5;d(-gphOLz0t~|WSqV64o%saV@QFf?mCJMmCsgGVpressdJdD3(?oXmY&Xn
zq4gs<BCHXcly1T4dSEi_Lv0B#?(`Co`>fWEfU@UC#!#QMtQu;~$L$qZthK?x?Uh5a
zKAIypT&y>mx<jAdcLqHK_2FF2eX$m|*zC=0IP%i8{>BzmR_`+<<Fg6#&j;S1|1zF@
z1-vl|%Ln$CSD3sb{&MaN5LB&ZUjkO2#88&61wK9%5w9^uDXaVi+PwxcUbBX;gzTch
zYq1hl`wJAZ9~*8J{t(Jn1n+g#U!r5+7~k*b7<%^{3gmtZl+5P{8k)bmwF94vDgeqy
z@Y$p+EKl5le+~mU?LK_?&<n3sipjd6Yl_EDm>LPMC%F=G(yJ(w*^_rs22zEgw6_-{
z&r@ApcbMsGWj%ZtHFP|J^|XZ<Q8E(yO0t^LR$JwMDaNP2$eSpxk$ASQ<$jQsVN@2}
zA-Pr~eeb48=m!eFREvPMd*}mzwHiU{!lkCBCZ(ebkWLkb0Rw3G@%+upmoI@a5{#$?
zfE7k%OILpyxfr#UC8znH2RlH;;Am$4^;mH}VxQ}SIt}yFBr|6FS2#^Kalm(t_e5j6
zmeqwF%H@)O-PX1*q@=VY-SWA_1d@2-kyULhWy~A<68-EeM&9ChvLvb$NENK1Du2w=
ze4H*IGhA$DCdLtlkCgq3MSOjYMT|fTE(v;U@nGp{_%N6X>}H@FK>g4}U_@L^6WGM{
zb_4_IE|Fz(JUgTlmq$5z#K44?vBN_t)361Jyw3S0wfEXdQgV4QnHB%qT3O=PN9I)z
zpI!-sI`##=TiGf>a=)tvobH!YJ!9V2&D&~i#dsj*gbl#P3=&AIVX10WN=3jwjNH6t
z=ou{QFB86$b-vf6pnx&oIFj4nn}7!!EK_I%7@WENZtRMwqQ9Fmf03Na>uq+opW(!S
zP|WXBcNcZj6R~j7SC~H~TSD`2G3E!0)5cfV`*GxlLMOW0_{#?i^U3U<_yp9WozoHD
z)Zm%TcYjUD<~-V4%X>Kyj)H@{S#Y9vCnBX)s=PI+1<t-dmcIXGZC3s9wR4<pIO|se
z|LP-7?6E}7xG!?c=Kcw)5CHre`*2O4vD+Z31_)AdyZ9H)V3oMKFaftYM|{!1U^U2}
ze;sH^fKqq}xQH%fE11G3s~XuP@)|drrN{_S$4Hk-Re5gBc?FSX;x`-@%MubN1PkMJ
zxNxZ$^{4DsYae3Bn*V6!81VOUyWkBQdq}wrKEz>KZh>I7vgvY|pf36KIya;+B7ADy
zn)!mQVPW;F*)eL|WIe2VN^TyYEX<Yn|BPjc5kQT<NC{v-Ppch5p6}oQR%<KENm@vk
zrIb3OgJ$+T#C>U50ZObzVIn~ynMwPi;_RzE99v`gXo09xDf<PtEQbBCfZlH4-+TmS
zr1R5M<wPLdCp8tBed2-qHr#VNRZ1P{Yf{h^9AD~wRn3@8iZo*VTQ0MpKlx9(O!fQn
zxiZ$(5;95_P>kAp%xzzW^F%QLN0e&-)FireO41r4u_vAL{?l|B7)?ceTG|UxPXaG7
z$Kv8*PaJ1)(<Oi#gEbCTK=)OsFn@k8;1|l%I^SNbfAjR5+y-=oUCr&~HV~4J0M(3v
ziP=O~J|ieCjR6A#(-Y5)OF}}DV84WzA(gnhF$>muB|X*TXTKO5GpTFjH;B7W9yN5*
zIf>oWGjN8~%ytG(w$w9*EmX)}@9!%`e!f#1L?5*jVslLZO`Sh7z$#ebVzXQkZ3`so
zw(92<0lM~Vl}&MhQi(nWsE*T<lH37t;X&eh4)e9~g8{*Pv)p8nj<&Woqr;*0?d5p=
zE8v&}_Y(Mn;fnS8*X-)Ahyn=MK~p1diQ#D1Up8?|l_AD9#i3Wfm~ZrgRvU&;oiB3Q
zFAn8`tkgH*F8lGtyIt$E4_V<p_TJdx@kp?i(cM?1c4NtJ-~lqwR_p8QYin<Z|Jo=3
zhKJ+ld3$qp1h5Qnxlz}QH8;b8h=2w}sdw*?AmF@vk>AOq$C&MCr+l7E*IP(PS@}QU
zOv1;~)6xb~MbLo>p$|CNsp#l*HU^Rb;LnhVe(*tOvM-)Hn#aKs6`DN4MqX_wHjWq+
za<KQJOiD%6K=paLgQsy~)eqjI2&?69A~1MyhtK1MQI`TevGB{z)L6b3y9}=@%)=j*
z;My~~;Mg&^1wFQ!A)huH%i~4Y?Mdk^6oM;=?Q&1QgBLi8<vxhrqdXFrl7PG3N7E>u
zg$PWTun!zmeks|&>i>#gY|p5LBV4e>eaUNSPuysc#~9_$Q+Q?dKugfX#Lldr%zGW<
zmSDO(`6TAy;r=bd{&9|-4LnH6LM>nZ3;EITORJs3V(H;Mi2^nXTIGtuCL?iiaZaGH
z0ojU_n|oSS^&cDv3<5g39-unVCI|pJVgwT>BqRg~Uof4Wou`(5txbSS)}O69d8=0K
zdgBPXv*ar+$qCp^SAfKiJx2NBMIq?l0^H3Ta3jHN$#6Q`eL+tCOQRVMfabpIizAxw
z*0#2LGfA$jQQl7Z2nvYwYk{1{*UhmZ7o%J6woh;EuwgKI5qu2M1dbmw=ct|kaC^(&
z(y6xA^u4B<(&?@`WYWaDc-8DKeUFl1ahi4`WXEyjC_~zrMQxVndx4o7K43Fn^j(up
z-`-+dO$Deox3~>CZ5=%<4N||e+n%_*b>l3d4Zpu=eF{mFjEt?ql^$KWx%G}DP<9Xm
zj#P;{dwC>|5{QhudAThuyH$aJMsM_&QN52*s|^LfRM6=6jE}FbiwpHBOOjlHDqeuF
zY2Ae`=%S*|O=Q$~0GtH6eQ}&6M&o^|w=GywjIP)Az-96w7NqE<Q+lXNwZoAvP-;K!
z7>(tthyz|8W@EOR9r$8?7S0V1W4Rw5S_01KzNe6gdx~$q4aCfJmJ85tG~qBpfFW~n
znvIGPrI+l?S6skaK^GVtgudJU9vELVidfeBErHDlF>@GQqf{Q+nL)<CqkdOTCEra4
zjW753$X(=9QLL11qSB$xQlv3d|B{9}qvq$gj_N8a5CNbAw<($~4g|$c)Z6psc^%iS
zx$qPjDtWHRZr!;UNV&3Z4}NLRDOa%q_!ziGHjN9u050{@%b>tO3K|+@cLLLjFMtz(
z6xwXdUOjFt2EBZpMLON~E5RZgfZc}xUXmUdOH$qLZciP7jyZZN_!uKNTV>*kjhDA}
zsPtTrlauq|!wEjCtKUYOtUjQ)`vwG%Gcx`F2(8%p!ZKHuhDI)b1z>@emX=S{uqPun
z*zasdJ(wpQAR|VKmF%*$6sRUPl4}n>m~Yspb3KBmiC87!a8=-~20)JLHr)g=zt*^-
zR*{#Rdd^mVIysMCF!gRYc4`rOL0sSyLbO_5+sf(}v!iEVLNqLfD-~1%t^m}72uMgN
zg@uprh1mTZwVUst53$&Alo}3=5RjZA(4+GEwz+#?Tz|7;#&b4f6&4n@-$hff4-lLN
zTWmB_^Xa!8uwmR+u$eodK0Y~>adYLst<qr3CU@=t+EoxyP+qW)pGI^4w)ng&a9Q{Q
zKLI3P{<~{t&_zPX?-~cP<8XzARt$?l6EOKuhx=|14C5KS-c3mCoOTQAfSKjAe2tz7
zZfI!v-OEZRbXfJ$PsH0w^*YN)-LA<2oOK67(OTP&urhFn`NWD%cNivQv5?RcbBk`n
zJLc-pb6N$f=Wo5Vwr#=u;ixerFd-IgDHnSam^W=RI(_fN%QDg9f1=U@K3u-anhNka
z_g%2}uTz`e7*;J{_kq-$P8r?5uvL|mm6bIrb94Q*+5<mtM1vA#l>4e>2D#L9Hs<1J
z9d-b4Zy?7|k1CX#5?QVFEcS8lX#-!`=>=9lH9dXX^fW>0pig~0e_dT2uoMALWY_*;
zGhpNiC_=Mj@FyI%PC@Qjvy(RrbF>`|2^;4lyPV@Ial4k}x!GFW+!L>EcYAX@z?bHK
zRWdcsR-HwZTyEW{{tDAZis5M)vfliiYt<6oE8N^<gK_yLw^{73gQ9+X2jAwVJb8~~
zAs?)lSWc8!s<tu(h!u+CZR@XCz2znyEr?WW!|(so&IZk>sW{FqqXNr82AAi0zZtM|
zV;yB6H$r)9!1g=U(%SkthW|j2ea0LXV4!;p4=C#xHWS5Uxm`foGR5}J02o$cJc$W9
zv;IMXonKxSfo1YeN8QOs%o~l!(1m|>>ZhI@9q0ZHR|HzD&<qJ27XMVlTfRyi266BA
zMU>w36h}FqOP&tJ#`2%@KJu0-g8sTo-CqxtBYZPgM|OR_k$5pmgFduen@PoCABWvv
zBX!DvwYaAgCNVP0TWK~;3ABs44VJ?q$}D(}8cQ0C`pve*&t-E)-f||*G)Z-9+rOXF
z5S$~cvZs_fC<<_p=)E{W-}09U>hPl0(i;W82|y9*-1<UqK)K1M7yXk1YR88oAVj5f
zV?R4@l%fpuh<r*f`kc!5Gi5EENNlbTB;@Q*uKEhp-Vy1t7cn7m&UFOGncY)$jr!X+
zHm<K|caB=qT<Rw3l&z1SB(jn?Kl<C3svMo|#m@B)3NPQ^i>XV;V1kcO+(025YwK@A
z<_PxI<f`EAJ4bZj#ikA?k+1oJEp@XRQ=WKUz{IjM1^jOYxA^`E6l@YP@5M|PS<A`p
z6CF5Yl)|8v&yjoj$G1)+`8a;bmj7wrB9)mAgNATX)<1b=89!|MzdnFNEIu?C8QA9~
zr-z*cexv96bb=9Vl!>_YN4pdHKRn+grda&{50BR%|F@6VX!+kfUIS3Ke;u%+7yoBR
zm85U?%5tj;f8Co}iZ9nRm(Md>o?-t}2T_-%CyA>U1M~A8mMD~gJj5A-M;5R90{d!T
zkQ5WG2T+=HTfAmu!E|H+#cbs-U*)VGo~T$vaW^mKRp8^_^>qif{-DmuL0{$QILxSe
zbQ~zZ-07ku9wuUdOB@bhDj@`t6T6&!j+Uq>zV3XzHt2M$Ie-uYe0LlByz?7FLu#O;
zz=L#+g^w@x;lpDM4Gl?O8ja)H6%wA;V9b&RYAb>|IC#~Ary8RO@~%{Bj(9kCDE;N$
z@JgJ_f@kWbO;_CNV+r5eFEa0KQZu-S4Auj&r4@mzA`7cFW!e{$N1VL4b8`=n&zikw
z0j-(!{JV15*GK!+qvlYF)<dabjXA!kDI(3M9ONv37@zZ>WwgP?>#vrYGk-7^?+*IH
z`N=;iQ(Dq(T{E_IhEg&cPcS;AAm7sh`1lH0a^s*IGq6!z9drwoKK*E(`BL%NS8p0#
zZPbvPR8CXZ>)t`dSLm?=OWWWyZDK}YX;R0pEpGjKwEe<Q;{4LRxf!#PS_Ek^XghgE
z@xb|Z)mm3CkZzM4Ji$QL{`n)xxGYVgA8JVTcZl!k!pHr5M0XTjMnJ!j)mg9k?(MQ0
z{GwkiU>axS<0Wm=Gc!Y@qdSvcf2Gdj29Hbd)E)<##yyPy%Fu$*C=?2^*}FYNS4SJJ
zh>#*h6Y&+xa0U9CHFY7gXRI2hb6X5?a0_Zq#w1ljTU8edW!vqol5#X<3CW+y(S^2R
zP$@N}R9jniE@&HkHRWw5f~9?Z5E|lYBX>(#oy=N=qB=@{4mabW6LCEh0BxVtVS7`h
ze!01{PDMGubDEjx3RurIzz7#q5V^Uz0ey%%y!`J6S=iWb(My{4u53tg8;s?-q>p#B
zo@{FAN=;^oj~xYU3g;k-$(8Ix`O3-OX@Un_e2j`vCY!c=k@)kWqSS2`;0hPKZ}j$e
z(+>#by5;$QoF)?G0rs(@1GZjQBW(4Pnq13dN@m&u)*Rv+)@4&VS^c|Mkq!mU_AkM{
z%9Xn4l4*nP>r8kIe1mbNHU5<I(Y=l6uG<YALWaWL3?}nD_D)8Jl~ZZU%E<o0T+Y(&
zjUQapV#(e<#vAorN*pG95_M&Dax|$~dAU1bQ>7<oZq5k7$Hzat@0SL~Z2wlxUzF9V
zPCKkXy#zY8P+r?I$)JCfx0%LGY_VY}Q80}TqsrVju1F=RY+Lg7{)NTQe!)H?C|^5s
zri3DE6Z-TlU_cK+q3UIZ{CY8P2I2b?M@m>vZaZ!qeIN1Xn*DbVu>h^bx<Cu6xjCJd
zo0SBTR`{yON85uP6|J4__h!c8wZf<sdM8&9JYEU=v4VD&X?~5#4l2SMgZ0nt=Dhb!
zO1~d+G!hD0K;a*L^8DMCHBOrO(DaJ9D|_?Q2$BN(-uNZGt-SJX#*86%UnaHP!@Oq=
zSdv5?4aJgf@y{M;u{DGwGVp3IcykWx&zr|+d0<w)11pmtYjm6`iU;p#`U>x0{fZDX
zRP_B;(ZH$MuiaI{@Ib4b3MVQ;>YDQrM97@*xx+f#*7zo^r;)|Uk;7jOt;wSy?3@po
z{NEky?HSGHcw*Si`ao5K&uaJtD4g6t0L%bRH-IW47yvkq=f2k@NJ%{atgr+Yr6T)-
zrKdrZR)bG(hi~w4DC#<zT5uI^nnc2I5;QcH{0QfxRF`+agCqnPHs(_<`SocSS%#!B
zDk(!@;6x@cy>Yc5a9*iGz;)92n-h(N=;LlAxeMht(mh`=%D#PS@~Xl8gSRL6%z8Xb
z1(%d=gln!R<W*^HBNsthz?=<~{EzbTqKb-7rT8vh#Il(bp=$u=!(B%||6Na=%hg1=
z83~<I*~+~^K0?Vf>p;HC@7+tDIFmanzG!4w8c*+HR)t!QS-?g@tq%CN=o`)TqTal*
z6mL#R4tE<R$?zAbAmJIB8kF``jz52fXC1s=h4+ixq`j?K$KU#i1s4fA9<JHdP1DCy
z=phN$#2n3Ap_X58A_AFSxb@zqis-~a7Umz8#<rY`wgrKs;NDDbkC|Fb_`Aliw8bNJ
z-$7j(RvjpJXr+ulk6CDZdA|LA%j6T*mQzDJ@8YicKG&YT<5QD);oc3z+ZaOu<!_A;
z20M@Ssn<X3T5aM98vRx8pGlGKhHPIzBLx467CjFgi@UjYYmt_8>B$_$c~Y!Nns2{D
zKL*qPVDGKNs@%8r?+FS>3y6dQiXb2@iZliSlT;Mx5|NUUZlp0lT1hDpl$Me%5fG4^
zbV+we*E=3{?Y;Isd!4h-d!6@>_xC$q*V=1sV}f%&&-WSQ9{2qjG><Tgiq11l$I{fe
zFlbA#Erdlz>Rjs0w-^?y$7LePbMMPLVepoG`F+2!*toLucH2$&iO#2jx~pf#HseP-
zM54Un1JAo-XrF6~NxV1+0oe~+P)QK~anZ0n`y*#Fridj!RZY}k7gxXv*L>H2X=$_Y
zx@hFCY*zoCsGeL5=e2KB8XCR!g;$R>J92PAoYF68^a*RxjHw3TfZiCmPJL#6obSZ%
zLoctZ7`L#`^NsL6?K{6jfB(F$HIFvB(KOYb*ZR>iXNBIZQkgSeuA10!wE2g8(yePd
zPDGNV2=HPw?giM%^0S2V@00MlE4-ap7PlTN31a0IkRL5?{uo;t1>u_pZ9%*s56O@8
zhoZa|8Oa<=M-539?8b&V%O$5=*%KvH76dEsBFVMJW<^>`&fNkOMr@VtF3R=}g%J{J
z@|V_98b0#rlIN*Y;O)w<p9s-<?0TW6?Bt<>E7tPTx9IBU#2dD8FRtfAoV=s$KpU!a
zT+%{EuADeqodbbj)NmgQ^3auA-$U_G%YT~tO|rAPGrM+{E1~oZ-W>-#)bsT{0AS=~
zt(js%7ZmHU@7*8L_NuC($Qp@w<o<~hHwiCiDNgn|<-)Ln+9JNo^-Eqwzsnq9rB*I0
z{GZ5+No?K!dE$lrfx!!`Bt=)E^Q3Za*9z!$?h&4^@P*P{WX}v4D!DF+%fPU7g!1&*
z$9=Ff{j4?nQuLmWk<S*EKM56gk?dnH14mzY`+N<k+;W!je(wOrrp3L9k`+v-aE*7;
zTc|Q&UI>rIf)*eiebCLcT5uo@C=--=po8DehWG2=f7K$we{_ajUvz%)a##C(HrL+F
z(;Jj!(KpEsv*y)bAlel2BSx`?`roT~{}!dvA%*skn)m)u&{rW(%m+Op!JJ`p)XlZY
zW_)7ei8d*QI-^VN;K4!+1qAD0X=sTPbza`sm|SZWPlX8$h?&cPrMji5`4xVqmCk;k
z3L$HOen40J3@Pm~FQPsb9ucsfBm!^F-tO=r;x|%`5CucU-gc||Tetlkl3sDLV0N$z
zbPE2IR_9p<hN0=F5w_z%Vw50{0Z**C+#GyUpy5W&&p#?ZJaFFI+jE#s@arjazGBw*
zF$d$kzm9=ocmynHBVMFpx-jBIq+pkoI;x|%xP5b%%?BXAvVnMTq!!`!^Z#O-bbfIG
zCAR<LP9OMZ%z7dE)c|f?#~*D{ruL~Yf(`*kf##Hu&2%LUP3N0>dwU^+qzj%M5)#OQ
zk-`+&yGr-nav!`H!5q{uh^B<tFzg3ysldvH1GVhmbX0gbeavGE6>aU7bmjNcFo?@H
zfU=iw*!|Fza|t~Na)!i%2Tb7ZfKi-^y13Pt1dNK`4}Q*T6_d@<E_-#!SSiI83}hey
zctHe;4=i*tva&QnHmvYx*zUYV-Bl}q2-11QIL#x@tYh>r@+fX$W?_L~g_%yvmoH~T
zL`tv6LWylXR*SD*Xs$K04stL$^gJ&pkqR*aRS?;E1*7OB$rodgcEX0=kN9^mza|4;
zE)Vv*!dpp1FR~S40D3`;kZro}IeWT)8F5Q#be_xu<6DrQA0Eg_55Uv6!R^;7BQ329
z&uApp25DZ9x#j=v{6f?h&@5CgJbUp1@c^o3bgTDUkg5D6W0=6`7Q|$Ps^a3ZcXMuH
za&i@}Iv)7oFJOWIO1QgN67=pJE9ih%>jUYGd$P|WZW>O`jEF>J;1ay1HCGnfWis(T
zt9&f8WHG%!uBAAeYH+eSnw^-i>>GUkGhoj{L2>X9TxgWt&Q4C)1@yLO&z?n`jgS+=
zK7Q&{(<j@xFJHfYxQlz7lClm2Gt-At5}Gjp+r*^h4NJ?v;z_vfXk&8;q&JTR+$p$u
zCSF__I>W@2+|GZn7Jv9MHr6aYD*>)}xQviH2Hx@cn$vl?x#|19Kk1#B&G|$96H`-p
z_DkA}Mc+vd;0{>@ANf5syUDLK5PxR>+UivHDVs_QjAi==oA<%#c<flVC}k7S;9_E8
zWNeW)6}&c2o;>+zF&sD16se!Dt_C_X45rVYKmS&V#^{pIm+ec}AT0X_#w0p)1YCOK
z;Dtn$uC)jwv=x}L@H+i4I#~7-|CV@@5YbI`Hw_^cR=QkG_+t)38ro0`cF%{yEpVU4
z=F9%P(KFbK3x)fejKDDmGR@f1l1|!JK&c=pGBAzS2@2oEgIDlMk&SEz`TE&LVt<Z4
zo}%dbU7y^3^O6@}qk3#@jr9dW0jpRFh}#LFyC4A}@FCVcqw1(|cc;B#E(hHNg!aN4
zC6XBddXjnLVIEChuS?td-~C%5v9Vgl`=DH5%@32uaYHB#NGiLJ)zoO<+IYX5@iTnd
z83X5%uqk}A;j=M11psfEbGrB=PqF+T++}|q(&PR&^s~ig=O5Fz*MvF7JQ26k1;?#X
zKX#@MnLcn^fPM8{uo=?5e+hrz;4JI`B2VSPT`55pF0RE8>+T`T8e;I8bwF4ZrsPI_
zAK9b=Pv?j$Ta8xxz^#Bt;_3yD0tySS!0iv06tBawF2DwQ;ay6(m@WGJcP@`H^Q!0{
zoL8<Jwq?^`l8hCyWduREZ`(wCYXopgAS~u>W}X7DCcN8e*$371_o4R=Zv<Z}da5Os
zmzpRNlp1q|Ke({Lw70sJC8hj9IOgZ?W;1)%dGp`GzI=-TC-67|Q?>33BteNQPJKk&
zxj!!+c=0sri;qWhx>}5#ok)MCJbwS$<AuMpiXkc6-#-cy1WRiFFEMkea)=(TUJ5?q
z4EC+ONap<wIucG<TU8>Z{Fit`$-R|SfUmuymXW<7@U`DQbAEx7M*ur9e3ODI>^0uu
z5Z?R1>#uR{)AqDXEy`EwTG}Cqw^Zu#KGI=2?-+8UNkZ@iEO1uVGcSITsBPo8*Y7;y
zz7fmrY<LQU8y<1Pn-g*Tao+BRaT;#tD19Zb_FrYeVPeG8GMi`oXJQV?3&TzE$XvUx
zM1BQqkJ(PLm*(RfL_>Hj1hux=YyR@{=YFxf0Yy(ONGiAPRuV+$G%CbA36~nhaE|65
z<zX9T=3+cY1rN7WnU?Ta4qvlW-4^Ywcfv;<g}KGZ(wrMPc<jz`>=%z&#&B=+g<PZ%
zzEN>J)n|$yw3DClx)lNUGKQ0je&Qef@YDr4MaYU}xOksit&TSko#Ou*H;v8nT24Yz
zvd`HTs;F-TW{3?wASh@G8ZG;KMT`o(hFKus6x3qWPF51gN&95<Djbs=zW{{V?^k+T
z44ND#4BZchuf0l{QuKeu%I0V2?%Bai2^O&Q&50`ZIXe0Xpnozf6)=B#Gv=H?$y!+b
z{?sGUHxqpvLb`|uw0U~T+%G;*Q0M|#@jY9y-td2dmQwoiv_xMC0`n&Tc8b@#HB33*
zf*Z@~Fi^4BxlU*L$F4KatJyuh6IWEsecTt*$^)^s81r_77;WnY$|5t@vP26k%5Khn
zVj!tm;iD9nh;7AwB!Ca7(x24DmN1n=ZKJyGb2GAo{aO_7yEZ1&Z0YJ=fMh38o8P&u
z_Z(z$>^D#^P&V2x^xXur@r$pRiJuslzo+7Sa_RWW5g|h$G*$`(Fei5bg3v;$=!3nw
z%k`s+{|1gUL{Wl8T~STNjE-=5Vd(lnmh+AJqqecr%M&!H-(fi8%^5N|x32j2sWNYF
zr)r-_Nfltdu$j76Z08*qb<-<)u}b&TmRV$%Nx~9EmbJ@4Kgn}BiP`iWx~~%ZX*<Ce
zPU>!aj(1$}m99TJ;VW{=uVbTT5Fyf-2C6NmF?i&E=;VD8(0N>?qA*W2^B{UbXqcHz
zK!Dog`E%><$}k|~uGoV~ddl_OxhgycB&#g4-gyVy@0~Ity&8Oi)-dq6r(ix*^Y$=W
zc3ex;B!x4$$>2x2z1liaT-0$%O|PoC)uET%n*&r<=aW>*WW{e+-LIR@05ItzuH7Mp
zB`?f)Zctv8f7Ol6Hpa|kFls%8qgF^LN=3(&5(52D`9db~0!RbZ7)<1=SJWsZ^=@Ru
z3KI|n;|b|HUtpTWM|MeSYj=4K2ECmh>o55XYT2{=9k;Ceg+L$$p~tzwDUAgVT#{q&
z2q0-khJdQGZrbq<6cmkVYEfN8kzt+ZKS3qTkvVrQ(x<@vnXRU2=MnVFIA?Q(q;zVJ
z*!NT&cQ>~$OHNrYIJo<ny^_nH%4?{VvN#A97TZm#86yw=G<Q{uXfJ0+Nb-%f(G4Zr
z=5iAsgO^)$VVa3+(%Dx|OvZGEzNwoi+9?|Zrt}Pug;Ln>CHz;;G#*;BlH;_r1b_^>
z0`<d*_bM2L0;c;{?M3!ov5crsDGU(a=-JGlBX*|PBp)YsjZ!|uGsD4^5@0<OY<fu`
zai`XUY`PaTms(~bq7s|2?$#qavuP%btIuwUPm^ozm&M{xe;|8~sl^;|qf_6v;z!+J
z<QlxDA~75Br{EoaO2y&+60mSid3btaH#RmRqkQNP5z7bEcj^Ht3+D>k%~qFqoT6BT
zqH5wCn|fCZ54&YF7*)o4?Xnk-jz=mljvAo)aH<FOTKwh48~4w5Zq(Ls_J)TZl{^B%
z$>u@~dDIt5!ga(M*72ipj;N<)McfXXAvEb6Fk9w*NS3EBuySSXU{PJ+_dJjZ(a9Sw
zc%m#d`hb#@oEMwS%~B_fkC7tSbd<aylaTUncp8*|(+^e%NF;(qAEx0@{nkU*q{?pQ
zZr>VjVo<_}NjGra`bbq;Ru}O@sHp}*iQZJgo<Xt)bxrGEnvS|xG;9<tWszQ;akP(L
zxmHkn)w=@m-zq8Q`}k@Xcw^Gm;sQFVsp3piwY3<P)aGz`l33)12%_^^!<}hHGkLaL
zotNLOeYcq{KfgZG5x3lZQq_8XAo7u<7w79OB`M&Jn)ow5rqo<bTKZeSjsa?Jc)WlK
zPT=}Mpz`UxA2)fZjeA^=%P+ZAl`qz|D+=T|2+=>0_lJC7XqGshIGy}K=4I+K7k}D)
zW_m0xfwLIOW1C)SgL>{_^DX(zpT@k-+*&h!N|-){r9U?ET6KCeHsg`DPXCn;jG3Qx
zJ@C}4zDfVoae(4Zm7KuK_}I$K4ehYdoVV{ln_!(C!hJd8HTT~7`K{vPc9T6$gLVX-
zl9}5mVXzSXHpgX{ZxC9kXv-%V@fqU)WTyS|kA#&4#ru%3gYa4dgCY6a#svk7Enk4r
zb+E47CfGE4yD;AMfID7(qfzkE_Bvn75RTumwY+`*A}?I+DK{06YX-N=cr;g@utKE#
z_CWzdn%3F!0tPZG*V(NLTy^XMN0VUwomFLo?X_@%t4S0rZahF~TCWyXdKvNjpZKJY
zA5Q<Svc^zcy?L@sV1OHH*3kQryUw|B%t&r!l!$}b@XK(y=c;E1wTQ?HfqBD5YX5y6
zr{lYexGYkC)NlFnq9wHxVKD+<f*mc|9@h$QT=Z&?=y;NZcHifJx?%SDTsGTHJUgW*
zSN{!$w`5?km!c}4s(trcuc#&K%#+o8n)30LtGlarHp|=l=_*#MalV6#2|%wA$ln=O
zZEC7CsT#)|_p0*nb3YFLy%v1+U%H3HX-PoWv-LI^T2EGz<h~Unx%y0xf=w(pazu<2
zX0)jS)~v+w-{9e}M~EAW|KVP{b}>yh`O5C=7Gmw+FJTfJqBW*O%N+RT_Lx6`fm@C!
z3Q(gpGV3+*ag#5Le*dmyb0}edzhD0uNfD5fwm-dWqoseK{|B_dMg=(vq^pMT-NTj-
zTek}TZf0{tpvGWD03UiO^s<z*|Ix{IJzmT;TRj8i0!;*9sC`-D96V<_QiUH3BNNj4
zR*EsNSUR8I+L7}q!N*MC3YaLKibK%JK;Z1ffV0NG*m^1#P%ourWoiYFXyB}3gvSWu
z*|SyJ7ElOrXcRnu{+tLjgs(b>J1TPLDG=bsw|mf!_vRUrW~k?<ukRz2j9`FQ|Cf42
z`^~w%32yhZyu3M$6990r>X5(ER^|+Vohdrh@6cS<!^qiWQ_&XCR%{jrXvD=UE?^=f
zA}-oY--50aXe0^m-uWZ3KJbI^-S=L=&snsSL#~?fowomIaeMeHmGuVx<{+c1IAlPh
z1!z;G6^1+o3ZC82EFo@iz`3Ge`n0{#Z$XzUjs&(kbHQd30)Htu7cZ3Z0(iXOQSWsK
z8gcLRK@RadkkA^#*%1a0C_5Q<Q$KzTgS5aiE~)>Jse_ygB<|XV@_Xnso2)iAHw_y?
zm=U^=a%McRUqDk~0lEwEDgNb&NF8W}6=4t&n3~E0Q$y>fU;H49ALt{%lUrzl$q@*1
zM~?sE++eBZ+{b}dK6AMb5`$pNZU8OmOG^tbV&eug7#WBZfc`}NcA5qD&>>4cPES-@
z$nskZ$-zgR?%MoMVn_Jw*Qm?SpvXN;Yy!Q*!O;;5LW%H<jXVHFrNCm?ZC&`TlvcCV
z#*ZHm-k46DYdz#gIO!d!ig#|^LLruIuxg<OHh-~PoTI?a2ygRAPIZ8D>lnm(dmn{+
zW<FjPTs2C1``-8z)FKW%AT=g{e;5TM?Bn2e!4;S|P(>O{yyE5lkpCBCpuqiyb-|gF
zK<DYT$ou7DVuE-kq~FL-oqATKdj>4!mczf^-o=^uY5zZ2tD4I900z4ZG}kfU>w;rc
zDZv~(n8+OxB(i!8zD<M+M4CMqEhQ<5{SuI{3r5ePk`aS}NiV$Lh*bxq#nS0QW(1Fu
zmKv9S%dX$75b}i5=H^_w&NW4r7wbXY;?u44c*YfPyF7Aj$O(wJT$&CqobT9cHCY|N
zghzFu0FQ{ea;)yz%y5M`7(vgou=s)Q8i|Zc!6Cni2xlPuVLCH^-sS?zFeUf#@$oQw
zb^q{SpZB#KfT_ZOdlYzDu=;lh!J>2p7owMlsDtEZQHU}#F>w<zkB56x;#mD6B_QD0
zNbmi+1@aUHivJw0`)m2*{~JcprU8F6Sazti#32e8!KEbwF~$_<>4(ixh#ZANrl#;u
zKEWI&Q%mD-&L`?8x1$k>pcehtk-Ep@U&s(IY9)AWRdXNU54&#Ct*or<%_zF3XYcjs
z2k|;@JhGebse+3j5Xc{`hT%Xl{^bmcU3eVG2kB8T6;gmB>rsC}Mzz&Yg}eCQl^1%4
z5iCSVhBFHQUXaUVC~^x-Lq4UV3WUmAO);DWs*j&*qLb9ERxUU{?+z9+OC|*aM=>}q
zPJ5we{kO?yI5EZoVu;FIK@igh{`6hdLQr*u>=&O`=@!KdzFRW^Vv)lhYS)T{knsHv
zvu?Ot*f~o6fIKN9AEdx-<(kFQXW<?N&{68g1)@NK7R>M8k@o)IRa25%8n}I)YfgQn
zqeHpH{W)ldB)T7rSL?rz?b!JL(T1CUV~LIbU-E$i1WVvl`D<QLP?|x7PVn-o>(P${
z2^<yvW(=J7cRPJZf^M{IJ8lRB?m1)Ql3KW2?<W)8FqJFEY9Wyw=qz{HYAv^Javvh_
zI(MdVSdFYWHR&d-2eEGYex>RS(7BHj;ZD^tGuo=8;kbzqJ==iJ{rEJFy?1rS*^%$$
z_T_M}VkT>8RI?8UR$mdrmKk!-%y?&`NQb6)eluD~AQ8jm2#-H{6mZXAym0N>H89Ex
zUW$7;WMvb*D)2sTS6C{f@cZr7=p9a4!ArPl9Kdro=3l;P=yw+L#NDtjL}MyC5?|+G
zHA7#`k&GCM$PzWTqX$LwjT}>r<$@?329MpONA){Sj(I18n?mmpDYD#9&otZe#Obd%
zrBIz(GMcpb?JK6?8YE;o6T`kQ`<)QD<CgiTp>=uxY!Tmy&!4?!go*$MrT6?_?2?&-
zxR%KFcqkCWqd<gTEg9a=>>fiq%!n22O^Bb?&Zjgj_G#Z^eB4gbsqPH17NGi`x4>a9
zh|g=8)E^ooVGk5I%X1}<g-To7P}WA-HfCzxr}#BATN1Omk(e7!nG2hFm}hy12b#xP
z_m7@5RnCG?fR(Es;ple$Elus5y?N*1#3RcM=JoXxME^pQfkiU1+-2TDL8L%0e+bn=
z>GouFK6#Los0D3ZVWRf;tGJna?3?DV6^2{2KXZRXX8^j$wrPr{OGn^EMQ5-n-<6Jy
zx0-{7?XPKWWs+t<4;m|2K(86`>_Z{SdF|}>t0P_@aaz4`+<jB4v@iN&zAQXcZ}D9V
zslLdsjWKuS&V%O{vDN_F38)8CFov5Nsq&(Bqv>deI<d*T=I5rE5SfXesNSos1P0nq
z)?q=C_u(gY*~R#)Z4Dg*Tc3~Ze5Gzq)R5GfS=3VbXPu^xBvt0u#uz&pfbY<_?iq>C
zJ%EidS55f0_z4n3vUWZ_w#tb={kcZ`T^|&qS1orJPb~C~ym>dE<Hy~K8d+HQJ}x~F
z4fYKqr(p+LQWt!$HXtx|uU@2&5(vF<=+Fr68wgQJMprD=mKfj7w_TMvJN{Pq%kZif
zV0@iUHr16^fBJ}I@P11%TFifwVtk;)02IUxu-X7FQ3#;?Rgd_=J)Eu{ka}s@&g+x@
z&J{3`DLCH7KQ$aBZ&@$h+&>|~OA&fWC$dv0NpZg^YtD7sHsxZ{=7fB@{*RUS6Vej3
z%G9oVl}<C!_qDEo`Cscb*P7^}j2Ncq-v|Oq%gY-8^8r9oJO+&?z=qxgvqdy41i-?I
zbfeYzv*(6AEPRqO#C?QX^|IZh3@2m&J5Kd$=W5TQf3FaOpx{r$dfILy$G0V6R@V3B
zaY6VB^NRITW3hze<i2}G&SMiPnIHRAINuhZkIv-Pa&vrVX=RmTeZ<NdkWl*O=jD3U
zUFnh<yu_auMW!COWP#TPxu}BK_2$x^k<N&lHe(Lo+8*)qwvh+;uRPQ~+*&yVw&jMA
zP(Z^hI0^V5L=0jvkaDmBCv``Oy#+wAyxWYJI5>z%Nl6zg4&6|&CPM~>hdpH_b`P~>
zcU^dMg7#^LU+T&Y#W9uIFtG41C5(IvP&ZbTn8hVMM|8|<mR|e*Q8$XG<XRY`TN3L5
zT<0wB=!Z>{la=&qcwh_$dWR-@{2ahtD)3eGmzk#IswQKbZ3b9Re&dh+2?@N>Fmvj%
zi3D^?$TJ=V_v9p`Q6!|KFft+<;;NMi3|Dw{SK?`Mt!T^Ty;S)h%Vd0n)3s^Y$Y}h|
zdR@n{qfRyc-GPCP`va7?X4vTp9JE;66e9gCV3v{AIyr))SbtAvD#6HT^xzy^6yrj+
zvV{Jm={xj&C~D$mzYX}4f|`uIwh6!1zRWjpc?5~=_=9NLmZL8PP!usJWuW-dT{x<n
zpQ|?}zMWVjU2Y`q$si?nFAFvvNStHXN@m$he>$3Jb*;cweojz~%l=O55wTek*C-XY
zyuejIcN@P~b0eqN$citL7I=!=d81mNPL!W_NaqxB4tVeiN)Gn5OVztqK*Bc*$XN5)
zuJRi!Hh;U2wq|Xo4D<%XAfqB}2hN?~u(0vcH_6=#@f#dBU#A`2o3)D~b?nlP<9|zP
zh$rGBdT=(5I67x)!MXB&Ro-n`Mycj%-P{*!P1`f<ByRjsuwg`4pQ={=(xy+4)76I%
zJuV2heRM2?OZ4U&%_k`Ctu<oH<YV1*eoBNNjZq6ns%{OcDv=du5(j=H7SypO($+L&
z*KlFqDjL^<6zP}nm35CRZaA&^;K;d_gQLFPU;e5B$YNTnW)-HGOx4TR_H0wmxQc>1
z1bi(ITKm1&ngyR4>fS*SNm7^%X_{o2vT-rZrnrCaeZ%W_a5=D)Q~dZ#OF~p?$f1`?
z(yi2aucCNq_x_;H%!lhE3e7p^7*#5pj!sTaMTEme7d$5qZ+^3_3+X~g4fVv%oqr4*
zwrH3#n>~N+>h4SgEZ^rt<qrHtL_Oqsh8>t<4YykE0v2kUzTZyhB6inVs>oZv@`jRM
zRa@g%Jx}j`dKWoG#>X4rl#mmnda*`ZJIXo?zQvK@wg@KS;vW>AyCn8T1AoXdsz|gC
zctXjgJX9#z+w@?0*|4Q|BgQha{Elil-9zF5=0wDe((|3+KF@1bX`LWNBVlkckpyY|
zp^Hd?E`q<_KOjBSZGaj#(|KZHW4QZiwORy4V8{Hui;3Lh2;afg?CrA<&_4Rc=#U?{
z#V^GU_zC##2<}Zt;4MA**=N8F==pZ;1nh=cCyv=0<!jfTxp}oZBkUo=dHat0p1UHo
zix_fVCntzPN{_D{CU1Sw2ELQR?e3F-?uTT}xPfnPS4bIkE|H<^f@G7ozwx#V{$3nH
zmImRHKW}xZJs9pIn0UKGywz1f$o(mHEq>sSeG-c||J(K!<mkBbPr6Htn%+M2MhMaz
zYI(V+O92)Y`w<A{bfd6B`5nNFHm#sn09-r37=HQ%z+{Jr5FQ?=$(C4I=ys90GzyR8
z^aw-@Cr14k5MT?U+K}`^PMj<_D)~=N7WgP)41eKYBc|e<5sEpu2p;Mb8nrRP%QXRk
z1kn_b%+2;xydn59ZD!i*w3lFk3u=Vna0?ID3(EtzK=8uIQV)c{TCqF0BrPL@Jpy#z
zDS!{30ir@o%<0v&HCWzaJ)nSGgq_EU^`VjpZi@J?Wf~=))qfUeo<4nA^gU1*$xVS~
zg&HYYDzEvuoCKeQ<UHUUAa#J?k!kyyJ|zMF6$px7%41?<UqBrM^hN~R1WyPQ@PuW-
z6%*dC3V}#aeOUgMFvKQ$1NsRNgQ2B5auu4n1vHQSz33^vp1?Vv1wjia_xfT=qjhQe
zMSD>MBX#=M-qT{ne`z=QE26TA4j|bf@4~K{_mEh}eg85v%N*LJufW2T3t1=F@YY*k
zcB*jD?i94hi1r172egnd*#5(TGH5ULk6Ud7P`@%%pND^EsAkrIfd%X!B$eu{21q5~
z!tf$Y+(=+hLojKf3A|PFLuDntn{Un2GuCKy5B9bZ&NO6|_#gFLH8L_vfxqY4kX9>l
z^+^3jJ2m>01%hPrXo<##7Y@G^i{Ww<!rceis0Rb}&d9_BPLC5k%?nA!bLZGtSy7Jy
zq5(7AGnb`N7zmKJ9%ojB_T;*|5!EZm68%q-%-_8h=XiLsm105si31Nt#`RvrytTFR
zo&9u^4<XfKjFx?u>R#r%x2=XAf8smCUY{(RKo#2|FXz}+IIsedwKxFh2`6->1K)YS
zUxU`yi64^c@C*jYuo_Gtuv70J$jr`VID{wfN`EW5W09O!_Ts$Ut6K>oFyVqS76rZT
zSNP0Osvy5y8FJ81S<rNN4kR)y5U!*^=V0&DD6!)NQ6`_;(7-^sKdFJP>+|;Me;`4F
zHg$xubtR9B!#Wk_YB0wBX%z@&e=JxQ2yMPzyvp2sE9|>-Z5WdN8{b*$609UzEZfvZ
zoDWdSz-9BIY!M=M^JONPRM0z}IC&EL8$f}e_>lll7AqImTM$T33qJNn3|P0o+XeEB
zF(#7^1s{ItY9srGVC%!Ludpg%Z~;r~@-|tqx4?mafymUxFyB#(l$yr_*sFhXwp@t)
zervlFEK9+rNvX*GsxOp+KtcX<qO0Tri-68Q=D8>*UqGB|GFXaU570v!sVH@hlfY*}
z%`4&`?J2S62D|V_(nD+wi)4CHr_N4uq2}HPjdeuu)xnGt0<>m8&rn}6k8#!d1zNtO
zdy0G$$V|N$KzRYyNz>RFglQL8k-0Ge?mIwbuWW8+Jt<4uHJNk4?LVyQOuGXJZlpql
zOOFQzVFXhS%2T36t=k-sz9&N9&H&j!=tdtuel(dI_-AiRTG^F$h$8laAqX}q34pEw
zchE}Z5z=LNx9;;tqvhrENh?Y$9q4<`TP(o|k+GnowX$488v5#$s%bwd0l^rug)4ud
z<f*A>Jl4k2a8U1~w>lMWU{`yExXOg;-wQ2`?g%1hiHTQLdVQ&8=g$R>Dianv<Ff<h
zy4Wxgotx)@qK@$s$H)B=H`r;S4+lE}z#@rXG6o|IECTWnKUfJOG21lhthI`0vd*Yi
zM=bdMYag`BqL5PsdJgu*g%3YDeM<W2v?P<qKn@1dmr#nCm5vbd<uyb9Elv?I@;e2$
zQ(gwo#S|nRfv}3;AK?2h`F8+(AM<m^uytSD&=C;+JCMLU@<UVj=fVHW6!UNHd#31o
zrXhVw|E;ddMF<vv^VLQDBQva8!XDcZ6u$K9rO2$#K*YZgncU!8ugzRqV_nz(lw;UF
z7)BLiXQ%o{)p8Xc=lxI$bi6y1<}h3pv=*r89sTv4`THLMdXss*l4dQee&F4~9ieFN
z`_nHL%jLdLPWA?%IvFjk4A}R61M|Rpdy+$SBwK*~>nr8asnLBMo)JI$)7|Bo1AiHb
z>U1=09C;5i3dNP0jXN#R>b1hvbZ1(pBI?b&!@le03vr*fe~@#1m6tkiRI@j?rr<l0
zH^bol*Nd1ADEDvqOkjzZ-hf3wB&IrCTz}U~7{`>r!8G$gK+Prd(Y2F%R|s*vt6w?r
z(7<k@et~-rgj-&3gJ>dtbeP^dnzknF6yT@_!n@31$L^kbPZ;s%wU++2xi_|`z5VmY
zHmtN=7*`J$1|3~GyUGq%Fc0)XFMnbDLVoQ21Nobt9OMyBDcv~11s4cREb`4G)8FMk
zHVvOm>F$oVHBKXZDx38<-$+*Ln}kG_zXxkB4i*;9lVeAZ$zELB)tBM%rMnoqJ-O~8
zvZ_1j()!iq;hxZ1>}HI0dB}-V_*SZy^{S5oI;{~_zf5<gQ6P^zz_Eu$L`Z_d@m&eC
zGRSA-&>nDN&%#`jUMD0u>GsD{nT`zn3m1mV4N+g&-zQd8=D+6U=Da0y&T^1LwK(6!
zd29IGCoxr0`(`g^=i1VbmBsobU)i5)lein!4&-t!KXY+NXYeMnWJVKw^gdSdIf$Xv
zpX^+tCzl6QOkjkC6TkqT<S~FBGw6ra!nMd;n1ka(=O-aek(ZY(T2mZitwov80aFa`
z-&kUv?1~%;KA%O^GuM*c==w1vv{h<!*ndtU^@?^0v4RNKLjxRzs*|sB%n$o(Dh;D`
zH*f_q&>zx6n9wV?CP=ja+tvtc1ss>F@Yo+|<eN}}DKrUI)_sk>lJ&tA9Jnz3I=!mj
z`CcVRtK<UxLZPB@E$8~~;u=3&zG;Y?Hp5WaXu=J*m|62mkJAz1r$wkgbgbC)1vR~&
zf4pG~KUcsVM-y2ek*sRE*>C?Yv@P^j`$6RLz-<CEynS!ZJncX|gQ~}4>x$p9TZ8bK
zmkzVpPY1jdomF|{P-lBJ=xztYi<Ft{e$pawDH++VHjB9NrV4GUnnoscd+;&8AeXA<
z3k-G{YI(RG@ZgCs)q(m8D$Ebr+E8khIBfJ9I)Yi6JwLNxDn<dl!gWt^cX}jNc}D1f
zpL>W|TB#Z>mf42o^(5ELmbUgy)QC)G$H>UqWOWJ?!xUOMQ1Wps?s2w>$|;?v4y&~2
zkn|_;)xcg&jTj*yl#VY!^`Qd%N%(#>l+~Fk+KxW(VXc-exh}nANP1^9Y)#lb!9Auk
zHJH<CM#n`{n@hFoALe8de<M6PS}HG&h2i6H>5JtKfsE~V_=(NWD~^xQPxDVbtoo3(
znc0>vekbmLuvh+oJT%I4+CIK=d;-rc_C^Dnh~<=-CeKR2t1ik*tz2H>TmqKy$>Vnq
zOgn>$5A4MQ<!^^D&G?(a0uBh)c*BG0^oAMffwg&z!NZ3k!NFBPyl8>4`%A^aIyVHR
zMSy;I1FVwMpdb_<D2l8cRnfG%nbLi?!j&*;WBN<T)Np!deK1qn#n|DUGgw65KAij^
zAa;)ur^6A?F&4{&sp>VSzLJ72u^^ce$wdz?>==spHF&p@YwlLKxxzAs8~Zzc;ulI9
z{j|W<EeE7_3I%~D2pkng9lk^~*P+yzfmlC!ILZw{FCtS@uHx|!nT)iWn@7|(tFAwd
z$jbQr9kiX!ZBI<-w)gSJJyJ1E)DTy^_|E1L$}rwxL`)@~$o7u@9mQKIUEb^pLYDD*
zW^c>}dpggdL&j1Y74?r!L*SdwFhb|jUV<NeBE+I6`r@2s*;>SQ=X2A7!Y7ifTJO&8
z%Z8jFWJ51s<t}ojFI_jdG|-picH#L9wwFfj`%k(w{i3uF_lF5sx4Q|oglRH`Xt<22
zvKl=n#1)?gE;`*e{xMGAoa{Z4XlFUdw(?#+gsD#9y0_M_GT5MDf<Xh@9f~(#lj7pq
zhZh9C+~+kFS5_T64~LE`P`f#+?T+b8pl;<limsQq$5TiR*2DilE~9X^Sm8+D;3_uy
zvPsU2m&(>o7oNXFb#jnf6s>$r{TXz9O6B1X5AMR6ANg$_Z@R47ZtJ8eyY1PJNu!_o
z`l-YnE!L@u82t9}B#{8tEYo<KYS#&Zn^N}stfD(Y7CrdHrV=_+zL&?eVwuoS!@WgH
zqhNds>t85Ort0KAK*wBAGUzX`;ZI0DAvCnh)pRg*-OfT?%B1FD<q#ilrsGaz=iEh)
zTQV2umK^<VJtolEUmAS$dKY*76LF&D=izC~O$~1nJ4p_7y03cYlX!to@7m!L(lh(6
zb#u8(-qwr@?yNlTy=H!3OiD9d526<x(|UUUL4OG8JB;la)Vk27p>vfK<<1G$D5=2~
z!K*($+(QLRzlvh{XxN|l`Z!76kBW*`D);gT>7G0z893TPPDtR>*rn~T4Hg893$^j_
zFm+{0%@oK_6fA9}d(g`Fy$qv`O}e#LXUI`HbE)8~b0}?nVd8@|OxUB|tA4|!*JSp;
z_r@H`e2Dji7lZc%tA>l&d;B}C(kE9!)aV#vNRX+j`R*j?+iyI(rMYwY8u8aB_ZiyX
zwOaC*@1JO>zx>8L)y+F3<X!&^k=+Ni(@m?)$m=LQr?z7|d)i(}@u^q?&KsjDo7o33
z>hMBAZ`(&Y8BoXBdgYnOMZ1*Y-0?Q)OjP)6Jij%@hkB~wcKyX$GkulPU*8T5^6h*V
zijjP<sc`Zzm%+BZB&TGVoqtjR`^|$U-0KZ#Obi&5N9>$R?zoB|$3Yj0f2!j8_k+ln
zec5cbeeOYZg`0+RhI~dnrbZ(1fj?g~ohji<+*zJ<U9AJg1KT0G6|QqUzH&5wI;J-7
z-})vd(vA1&N?@zLEb=xdCry2U4-fhCIKFz3KVK&VyC(bRFEXK@j7DkUWxqEP9_H9%
z95Og6ne?^0^PS4noBe`CUr$b6RwIUsvo{7iw?qnl{!t+(U#*`nh9)3N<^B0VGO_Ux
zmHc|$6V!kI)tdk8tLpXqe6vH6D|zOBy_}LRwcW38^M7BC=>ORFPH9Zb<L9N4UT#Ne
zHWlroQ(N-9(kQGqigtY#{<G-f@5{kzt+|?e3*%^y{5thTgVW7Uai^Cqjx`!T|Ksxe
zA9<7TDeRDm6~L3)A&X^#$!xBCa-^ZPmE{BhuR&v&Lu9H)Unyan2CjW8tRvR@EX4Yv
zw&Vg@i3yv5s(L@ZT5D}2r!KodU`QEmHGQ_Q7>U*r?y1Dqxbd-@ify|G@u8Z0mxm14
zu##&_JZ_K$NKlKp2q2(xU~VIEwE^o^Ua%LTa&vRXG!s0hQz$KmQ?rGM8qWHoxHCQO
z)mJg(C72BgP_d%BI^V`xuKDp~@$9_UVm&%~Y|nsKGYSi1a9xRYNLdE%^saSZLZhJ)
zzB{->5;KeBxbmgpcb1C6_Hq<!OD-u};q&I2LK6vam2eR8th$s{c#XcD0l5RAaTyyM
z!(dZri1~u<kmixiuR*w4$LX3W4>tWXFZYkmZYJu$0g$6i?mPFeYOi{Fou_Sc`dC{<
zD&a^DvlYj!5GFc4q<mr_EwA0k_n99k@^Rd(xcWKB`WQ2_L|B4=jKAmu$hRQ8cd!|R
z=R+7Q6ubuf>84;vigDYSiLq%%BmahF!<V!tE>zuQT>iq?GyKNG@+kkjcVvaXv04aI
zVn+j&S)i}x?pmi(&nMxBaEc_$+)8qzn=N>BebjTp!0eQ`n!*bw+jsrx=+o?X7~idS
zQ2(m}`pC%a`>e@6(<}qn-z2j3l~2>QOBqR_<CPtPLh%g*G*AnV`NXW9c{g})_u|3S
z{*jFUiR!)43<J%<V(aHno@0G1pRwo^UpRfeVOQL{m&SL)P^aOoeO!Q^0Tg%A`M>J$
z2vgZKjZ+?4(S?!u3w@=;9-ZzM9p%K-FKco`EXK4x^THg97&K0jT{~sB2N>Acg@S;M
zaq$KO8gm{`$iS7cwKJFXn$M7gO3Q`}h5QfrmGnTJh3^%q9)T~-NTx!ka#zOdE#3kJ
z0W+PFIJ!M2ygj=Y%PTY2tz1erB<!0^fn=*lsCtEhn#K#<daP{c_l7BLPn5TVwZPni
z`v&-Mpc!Dd;mlc-t>3F2<$>VX2lf1?P%VeV#1KiO3P3E$6SUd3<c0)di?2;hNs94e
z;cHA`w@$hoIX5ioQ1Rm}@vD*!pAsgvh|ey^mRxK{jGv?2w`<Dwmg}7Ll|q@&LPB$^
zR4Z9)i>#Oe(<ZxuOf^OI)PhH98_cK|!l`-i7}8LobJ3Nxjrdi3*TadBzN)7JRyy#W
zA?rS2-H{T+1(A*ChyebpBt8d#yBGGa30~fzy*~F{x2s_Ke*La>=G4uX$*+WWCBE#>
zR=S!n-%wclS!Z5oZ8scFoLj$vl&#gwDK-@|QqVop2QOE-Z7A8QOw?q8KM%1TcB$wz
zL#E8QE1eRM^+-At(Pcp^RnIr6gAa<8lam?zjNpDN-&>W1pQKz`4fnWyw&*;Cd34#*
z0{ZHAbxXJCR}su;>>d7R2dp_p9S2hOFB&~QrSWpW!&CX`Hfgy;^T(Z-_)V$n=(G3s
z^iMMEcV8B?wNw_H$Np6dw{T!KfPLBqVX8Bq;#81D0Du^zfuJme@I~Nb@)Pm7y#tZ{
zkwEk15=C8%eYt$B!)cM1#Kfkxsr=~l7NwApDs7(g43j4p%}DommvV`UR+Al+S<oSY
zDbmKT;Cy%~z7gOMnRqnxxE{uyl8P$NVdXx+#<jXPro<0lLmz;suWj#cpNoS#bc^!c
zRe=g(A`z^&nZCpBv}VrPR6k6x(Q!q0LdM?e5x@F|ck+?v?L%$-l_{1QQjKeO6kFiX
zzq<fB&Sh8*2uV>`eSX1I7|ayg5RV;G4flNKM!bbCDbrK2P+Vk2D_>_l8hdJ?%*`jM
z82;oB3n&#03=Js)P8-cw{;Cp`rJz^5`s-OBbnkx)kpFJA#Uux`F$@>rB4q&&_)e>Y
z{|Fullel>NE!JAtB{`-Q$E55ydhF{CE&UGB!7#RiHSs)2Jv{ozE3XKTZnus;!CCGh
zS1rCgM2S|~%NL!p@s%r%mL)iErFU>{g-Z&biFpX;^iyf3YT#YK19b|zSf+F5ypXw5
z!VN#fxJWrgz?^2HQGf%dh0de?U3MvIqq|2w#}f3)kEz8nDeD9ulT#&9<njqQ#^jeM
zuCV7wMkIu__|>xy->Q}iT|d;)+^_nh*0j^4-9tfqSFg0`Ha6Nns0GZFJhroUAx|p>
z*ecYQhK94EqOq|42ZF|Q$k&`z*B}yiCVgrrmF4ctgPGJ?*2x>mDgRb{TeC4V*<@jb
zc^Sj(oE0g#q3yQI-lL68y5V_?bt50GRO))!RScEUD#Y0m&f3OQd+9T5i{rar>!16E
z@C+OUu-7y9wiXhlhFxOb*Uy3tufrky0$RCctx30OarG>QUN7<7v4dRJZYUU@+SO3V
zZdQn5f7K+lCe*(NSM!rwaQuJ}j*NtW$#PGxA5684)tO+Vi3fu<z;~lnBU#bP_n5Hn
zl>58s^~Lk>n2J8?A$y<Bghq9gdu!pT3G=cY&2l4)c49&kJiQ?P!U{5#DA<SoQF9k)
z!2ohJQ0wU`v=~luf|Ty*kdSnjjZ}e|z3Z27-l^r?i(wBYQDjZQjg99PGO9TCtz1LV
z?!#8m>a&o*v%~S>U!t_P*rP})yuM)tUX!gMi*vT6-Td)5gBD%YC6+=~*eU*L=|`XG
zPpQd;V(DUF0PLZ>b=PKjiEmhWq9Yc#KSuy!e5?CpfJD(RU4~168;u8j)lG+~jT^HX
zpSm0`hMbU1(I6zHw!u2im0~mZx#t9QW>@dR!|L_x*HAZEg7E{{+X#qLBq9GA*0tEq
zb|!$;x_;aW#--C8sja-l+&GFsDv5`S1I2vhKGISng$y-e;k(*-gozbSHs(k3Fem0y
z{qEXsAAFD~(8JpsX`b#2*rkwB&>NE%Pgq)VBQL3DV*C7CAG)0&3gb&9lZy#qCyx0@
zXTFwUB0pRDo{2>HeBi)<NYuKB;E+MBayV&;l9JLZ5yy)Vkh%;L!en@6KBpIrf)yxv
zfUi!amubJI*-r8{({pgt6;GRNL_DZ@2^W+YOBc?fY|hebm*M_U4-(>$A8&VuxX{-y
z2i1JjyN8+VC2liMr+Polnx5Y*Js+sdMs{~QoA8ZBp*aGh)$G4PDk=dg&G);(Ow54=
z>xrou6>JOzZc|d(VaEsB2Dz0&PH<nb^E4|Njenms+Fj@#CQy799uf@+0+cLht9#4W
z>2bKn>q>~2-*}%s`CAHU%D~vx5MQwz3t-6w;3qCAy&T+9W2y;E%ABe6q=!Nji_-;#
z3%++o^7%&nGR9OQnUw88n2BDh8h$*&vanGg?jj^Nk7s=O`@JY8G(P*;noJmh+)-Co
z=bCo{MN_TJ=`xI`K4_Ihz!0uB=Q=vw$t1OM+iXL-g5wD74zo;1y7%)POZ}-bOkVWW
zkaM4)ieSX&eX&xKo0k_LL6RMk`m6U$Pw_t8`>U&DT6p#^I^F;6IsdZ;`?)uM3A93W
zATT2J4m=wkj#NGwpPHf|@OgF7K&G@Q)aC>u*_NfKoF;)Hr;lPqKmj_yr0$->LmH8s
zqpRhfA(o}=Axvy`GUt|ugd85T$zAZMi~g<^OnzJG#R;dw0~6n7r&qEO3iqd<;|Xp*
zJ-fmsi_iFPJtXMTe4<BG7^<lH8w>3pp*G_PGUh&~aLo8W>ccq{#Tz>O<l?MOyrpbE
zJuJdy0MZhlHNT`dA?9SH#Znw@g(ziISD>Pnj0n1+;e>lxz!kU0S8lRng6(8Zl^^cW
z&8t=fP-e9}w|7h*BftLu1DOCM(TFUJNPnMsAC@D?z2bR-DF5y4fW);el?}5wD#q;@
zUxxR-P<f!hhH%dY*F{UyD*7(v0;`Ydke`~4%D_f5SCL@F{bT3RN-te@h&6?+hwClY
z2$SmVqV4O-xtQOEjKzN49~@>?&pF9RMnLsJx9e1%aUUPwPzoCslSI#DAju-UX}H}Q
z`+)TetD#uf*`GnJzUsxWhfp985(-z*2sWTC80w!g(><-=@{LW&&Z5yCmA-Vw!A|XK
zQ%K+!)AxD}5w1(E&JQQVvMbp>g(QzSJvbZYyJ`Ih&qbLiRHe3v6-Sbl`Sruz*DiUM
z2BosMvEQxgVc^x(U}q1^8s2A{!A9x_1_opVK1CA|8mgrZyzwrp_(1QND(E+Vb|XK8
zq$@&exm#sdjJod}_TK(8qh)4gTkb6HZ&(FV{(%oQr#~@=B%{<z=vJ?s-s&MqjE`&&
zp0;fbpC3~HnoBhtV9zFlQg&<3ylmQy`UXDH#|y9)`97>Ag0Bi&>?IWx6nYC_7s<+W
zQV@OjcZj#X47)p#Ctio1qOwEX%6ph0phAB7vPRrjG^vZrH@AM7k)n_1y$dY@t|@nU
z?OIQK*_*qdM9VK~RB<qM@QRaRuWXet{ro^Y<)y_AnY*?^aSFRuj(7{3T?I-&HNLZr
z!<O*z_ZY=~*VsNVxgm|t(RC}<+di^3JGb_d?p2Z|neqU8ntF*Bw3lHgm(YB_^0p1K
zff)rmpThEQGLo79?4vAw>Sk(2dBAzc3Z;*^++3KAgG?bq-*SYsG5%<5KYKCl%yhW<
zu*CTBN!AE+YokaeHV2aR9xhFnEgf~`vh`Ba6Pzv6jdS8V#KMGw?lwm0dtWla|8Vi*
z#UkieVHTAFfhuHC2g0KPGr%_xGam1Q_ta^&JEO@K3U}3@(8x$BFd_yT%n-b!&yqNV
z4%X0x5dRhX&<m~ypDIQd(UouRvAKM7Wnk}_^Dh=x3B-Sv<c`<=4)??E@@1v>dy4V_
zHT!DUzKdl@PzF@`6ff6xmzgTNsgPUhrTPv`9%L-3LW}MmYcJ)q5ofPch3_i7*5_lN
zYn{X=N}_CTPXAlKN&owV0q`eL&{-h53$z;Y(9c4~MXfl^4=JC($uI%!m#s`<7%Ec$
zU(!8$$?WWz6P{!X`syJzwOmF=THQ(d?UuwV>7dEwLMxr|xxU;HsyiRE{|FEI9hMnh
zPFei<B8s4?u=oRycDj<HWiP*`K8$O&zj5Rqe_;4uJU^Q<Ve{023ltT5KuJjki)0Sh
z?RK*1ej>MC%FnGq2iRK+I#_o?Mhb_$6kd!e$J#gqX5o;od%{R)a?rUy)ZbU<Twe|I
z0{jvaI^5z*Kz1fIy*f2<VY%xg6?U3MVdB2-XDYTbm-_En=#Jr2eTFCQJMTT$Vn7iB
zStK$8ldoHajTk?WrV`nI0UaNZb&O)(huN_D=KHANN=Z2`SZST#TifNyzB$ks5-6Q2
zx!ky!bas)xreoAXkmu8#A1W5;5YI<<@f;j=x7)U_*gd81Ul-bP)MT1@CG8)qHT=5~
zYpTu!Ifkx1u`(q6?WFApG;H5x6ERY@{uZL`Z30}(v|~fU;!dt|kwp>b&`MwP(+Ll|
z@XvET)2`?-U}LINz3!_8aXDX&U!7R`nX`YW!sy-m|10wTHx=!3detx!wc`bx5~v9`
zL77BWP=j0utpo&y$d^{{XI{cyawq2I@^jDhlrI_63Wg#-k&c;Xp=p}8zF()hrQJb=
ziLTi4=qg5PbIRQX>l8?+j5E_5{n*?Y{s)wg0_-o>YiBvTH!k<OPmVDw^0~C=Ogmy&
zLzJNDiy*&xeV#d3+8ek}q4Dvpzn$U;`3g)hIA_?|*;^<-cf;3ljj!IZa1}`P9`P(#
zex~p;iihki6FNPek<1|-6{ktiFSAjAk$)0z>;0_n8taLQo#dMJ1B~TT{j&1PP{H`|
z7+1!Db{rGt+AHVSOq%(Nthv5&atsfN5<`DS5%f$^tG=(AMMr-_E0mRO2;KbAX<V)-
zAoGf5W$CVtzr8U$s>e88f2)~b2yaWf!-4_;5kQJrU{y+YhDLpHb&unmY>}B=-A2f<
z((KdaT)w*sYa@3+s*IJQs-lo(FR<WzBF^DKmtt9m&dHJ$BF`)LZDWwQF<`;|qVoOw
zM68~8r)y8eY1y$p3}dOZcvQzy7B+KxHx2us_Y)i!dN6h$%(QczmcnoOOAA~tvty~v
zI>Y?j+d-H?+)V_$imZg6P`@7C+^4#1LA2?}(6|D6-Zbo>2P6BlJNe<MOhgrjOiqHi
z@nVjqdK<p4!l9bQHZrrak-$8WQ!QQMR##G{2#_$mDZ#ia<{OA&F!z`-)z^A$^B_*0
z*7cBhNneAyr<CwK{kW(|uubuz3m4m~+MDrW*VI$_UHC^CR=CjkZ{W~{1Jz)Abpq%j
zAF2zWB?<S@LU09$K@illiOFb-$*1g@{<dl1=G{)J71oE>sIDp<)7GZRgF9OZRkl-C
zwHqd(JDc8^byG-vt>Q_z2I*rW;?i;6kK~n$Jf*93<zAVh)s^D+Zc2^dR<V%o#~Si+
zO-%3|JgZZzxVC~Bt}S6=_V}xI6wt7_X0UkbJlo9j<5K8LYs%$6To#+7RoC3EKeB-@
zHL|qSGI}7ETK_J6Herph4W}I*)Ra>)p3N9RewSGNnxFq-uMfb8N!GZDpAC!oG%OYz
zGWdM|JB8+U4>9itj;(>zpfX=WO}Y1T@glm=IPZ5%bbb{S<iDv*vDjL#EmJf3;9z~E
zVLnhvpxhR><O<X0Eb@grv{thF<#_XXjx)4SrX>%@n~$s$E<Kmm!#DZa<sLnE;=}DE
zTyQx0xt9E;`C#H?>LKL&8c$i2USlF3&BtgzlPwERv#GB-JR(({;{A-&UFszhy6;@6
zKD*^hoU5TB2ZM^~ebse%!;0sEc~a<auw!}Kn+yLa7bYpQNR*b5e_L*9H**}CKz2U9
zPzXvRuz7&7q-hj#A=L)5^aGA|SgW4%VM#wo6t^-N9ZJpjkO&wdqT}@qzXaU+(gXc8
zOP0Nn7t<e~?Bg>tTVrnSZ?`RQC0cQ;J23AowZxWZhBy4<d+awiI>kpiz!DbrRova3
zB9@_o?dN;gQ9o2bz7>Qa6-i+~Av5+l@6+Q6;_}7%5U9Y4Cika>ns=icU!CwYe*w^w
zto!Piwm*u7;(|^mTO+<?7M;?F)=bWR<FH;|^CZ6&gQ0q>^ov&Glap;94A<$?)bpnn
zu>LcL!kkzty|&X#3j7IJKJi)LuBKzVNp&%vz{&%qW3*i!3^CLt(1<E6{}7-T;_o?p
za-Y1dqu<_yx+XFCoQ)>Io`CCNf9S#B)ZVPMr#*8~(?ycphbl)U?flgQ!&%4^2DAC7
z`RDYIo2-(>LT_EedV54AsJ`SPa%t!OZpYOQrt19Yo%{jde+1c&P`*8R3eIz!N+@|`
zfTaqv7T&D<+`&$o@*ym~?wd6k%Y~ATU5Y+_3Vxq<b+m85_~6a;vkqrYxgCgo*y<+A
zW=hn_?!)*E$DUkZVfKuVC(@y;Ic0i*{su<j37+#c{m5`7&*`oc=5qw!r=+r$dSf?B
znTI=RKy;QesPA6Ps4HFh4i5`o^1J`&bGU?pptt_k@+jm;U;Juu9M-#3@Nt%peRz0r
zFM(w|D=3b4a=|@FuB@0ZW{_Z(#s(R5y+Lz26o{9uGw*E<7-`s1Z0VU&J76c@+up`%
z*M|PTf2j(`EYXn5UDSz$<6!QDK<ed7AIOH`Az-VgA+X@ERYAEtFx6HN|IrIEfRs7h
zJFiR(B5!lNcs#UOxpgzqmrXx|HGWJ}d7jB9(bz5Pt@BjXVX~HsDV#@Dclc=BzL{9`
ztg|R?d^mcN;AZOdhJc$zkFBvJ{Dwfu=ue1Zpofu<{jL#oH=OA~Pk3ysJkw(j<-T7M
z!Cg*4)bBy|lmB^PfK3lf*bt?KzJ&xNpby!u0Dy$VJF$oJVzD305v;)Sq%ys^QqKV9
zU<O<WT7%4oasZhHvAM&#VKF#PP;xN>!D6mEmVi3UbKW#Zfs!TxuLww;^C&_pE@Yk-
zzUqSfg_Hx!Ni}6REV7>4)9l)ytC-q_Qek-F{ji6bEkV<9A{;S=zqxh<mX)ZP_rqn_
z2nVj}Z{sd3tpEwe2cQa(bN0|KtgJS1uYuncS!M!5Fo)T+RAecT`2LKd<9tp%0=aAz
zSt9~y+!=6#AZBAr_$?ukk@ax6VIkXSVLo-1JfL<G2Trt*y9#SVu>y04ZZ*uZELIIL
z<y&{JNZ6i<9n-q^dhyD>|24(K)t9^C(N=6e@myK8Pd!_+WtFbaf@){l{ei6nw$@04
zbNiUj^{=pp6uGB(03i+ugQh_{xOzd@41)&fHY`R1!4w+w%iy1f+=35G%yJ(zkVC>j
zlJ&#|dj{lD2TjIzNGfobRDjlzqg&-kEn<pJk0Rk;g}}u=Cp;tvmll96cnu8I@JZMg
zZ(>A&bSMZ+CFER1WtDBvf&md4&~LDr0~F>dX$^GxTZPju7lz#zN$$z-`cswLQ*yg3
zT|oYON!%Teg#^}ASWw7_+1-|AW!`=@7#T<hqicL)uylcv8K%X}%KAn=njiJ3?_&Un
zghy^=X^VoX@a|&4sAbW>1neL|mcBv5|4PhN2p*9`ORgMhx!$FvBH-q(f;c|GRbVMV
z#tdyBs*IL7wtLF)6p7z!um{lz+4L-#^#f4{5U7ra`<vVK;s;g0ifl5=QpuvXDBnI0
z)>iD14|y$&u!m$|KofDb7n%>AHfBe6-Q6f+XLaBW!U-y`UQAq==jv<ml+w}b9k-tr
zTqHnoeRcQFgd^HZ#jVM|HGX2td;v>ZH1nh&h51-WN~pkLtav+PYX3EcEcmF4l6A>h
zUQmDaVGwI9?r<Zm#5c5=@XHFC8mm*ZTGZI=*!j?bGIH%Uwkg(Q<;1g@3h_j1D)9s)
z)3V{YJio0Y|JJH-!#gCj$f2R*(tOW_ot`pb-r4sJAGb$mP@U#|FPqA@PNmtJGW0&9
z(ghC+c_T#Uk-HCOxyi7bXm`FNTki%yG_bG2{w>HYa1@HNv84@6z?p|^VpKDXtpo0)
z99YgboEe~{X9O{yVQ&P_1^kKid)sKG#NEX&{on_G6{;XK<56hbmWXrNq!R_AfAPTX
zrK_+o08VvE^G%50w8QSH>j}q4kW0gSw$S2Q8Gp0t!RF?LN4t9yG@TaxF*^$is5ANw
zBuj%oj<r72Z2au5NG2y<!5v?*$JH7u60+^?^!kb7!1dTkN^y&F_7pq$z@@mV;a2Kq
zao+)%vVvxsy-qWioo~aA2VqUy(}k_y4%>8IcBgUbly01j7umXK`gm&P(dQHqxTi+7
znEih2F{bEsyJo+n*s;SJ@pjYd$=zdDnC=&JDzl*CZ#j$^)PUsWK{^F;VH&i4c><5l
zaMRW=UyzO6S8cR1VDxb0WpuPGgfW}eGw!64%we(&Av<D_RD(!RptuA0<KdT=XKkjx
zJpq9iD%QqD{oRd)u!sokwqS#qnYNqfR5CRkE6E5$?#8;<k1v40WZYk{aCUH``O0uI
zWJ5aBmFHgWD89bv1K`iB`A_G}nA4on!tarKjM@577ErqH%YRh-KK<xLUFgt*wf4&r
z)uXxD#tR=>x5jj~C1h$`#2kf&T?#_LN9y*io|u_=rA@R|NvSlneM~Dk9usZL!118&
zJzqeWuiDy%X1Rkt|AOD9`0P}X-RIPa>I}yU_XLhTlc7{TowCiD+v1YPY3$Gh-jET<
zHRf)PzLE;b7od#>Axlo+14eSRz{SC<1i@7BaBr=6)b|vkj-iSsqfBAV@^LuWr=-Mp
z$lxj&NqokY2%(wM!-L%zcmg0(WEi$1tHWveAAK=Sz3F$J>coj}z{A-Ru|lUak{FCH
z0MhhcL3ejt#o>1RAr^wFMcn_pnt7(~fF^~$a3qISCnU_n?u2A(qIQW|U7KotG~kVT
zsbe#8%$j!yTnjR|h6`-Fc5cwZO5f7Z*h9BR9zraa9?sb>nNA4J#(dj)vuVqt)4b*V
zuuLIAa$l&^0^>R1?jAHw%hoCQ{}lHf&|J6u|7MD!L>flJNQ&GVD3r=9qNHI~(vnTt
z4N@|a(GVFCWsmHUP=rv)CduC0*O&k6y6Ya#^M8K7-~WHk^PJy(PUqa6Bj3;W^SM6P
z^?twBdz~j1%a50~a#B4d3&ZHuIs79wovq{wr%GYo(IXi8$?Pi>m-l#frCmOSc4if7
zOB&G8*^_$Hp%us~QF5hZeY-1?jz6Vww%CzTmcGylAzmJw7XgPt???3XU~1BL_{Ls*
zY(|0(DmMWdHK`5`ET~Ombs3gIBmfxMwOdZznlq4{pS4umJ^VJQ+j}X`g$6{=Y_O;E
zjkuL;R2RtMnCLZTX`ei?YeP_VW$&RXuHLUB)7muq-*DDi?H+h5*b!H2^7+=dC9ABw
z<Vfsx7uq!E)WkP+e7$KGODE!Y3?$FDZPZD)p(Oc1cz$|c?wr}O`(_X0&pDJTbFoFL
z)hIYn+rl>F4z9I48yJzF-j`H{+!(Wid=jX=VOH7_=`E~$Cjw*)EL~GBj=}Z=Qc$c)
z#AWtuLRSj!&Y_HD88qaUfsG<Y5Oq0f${P*^vxr!JEyd}1nfv$n*q+sBb^4rqy(4<O
z$E;LKj=x=z{v99XJFRI$cCB!VbTU)ucm8_akKPJVDTYOI#ymDl%A&H>llu<V2R%Ks
zQTR>(eP&IMoL$0Y3#$wM-<CX)it89wbXf5&bx^F;FXU;twnSKXdam8za<%EYItOYM
zyNd0AY#3#+v?5^!x?gag|84?@A`l28q<&CzTZT{xbmC9^$6Vw6qWM5(OHC+OUUZP1
zE%;c@+`1Zt#(l5Xh(%By^3f)k&vhPLW3GNeGDWUzUiRihA;q$|aK0!leupomrX`tL
z=6PFpU)9~zY{#O(sb(>;&`Q2|qlTXGgLwmcndfts&fV2Et{#}po&8=TgwuXDw%7l5
zwvtS~_Mnq|17C0jx%}GP$HT(gd-yu-beRkYz7(O78sF_%auQVss6qcZN#BT=&X=n~
zxVL_N+&KD}*+fD?&SAfIs?86&;PUhodCKF)Yp>oveO=kmSD)fv>qedN8IT(rlwfz>
zwfNNR*qY5wGoDGkMZLL(z~*=rK7aPES^2YMjB!zTTEDbeH>r|w+`8)zu4&A)vx9m+
zQ;1hT)baBgK5^<}Ca;+}COL}8W1|qAP{+wHJp9iEN3j(pUMiaihYbJ2FYRS_OXT<2
zFwH^ddV##yPn5tvK8IuNzga}NXxaauaTDrZc|6Btuw#7JH|^W}(b>L3&1K0u_gvt2
zN>%cWiTZwWdwMHX&Rn@5f@nlEz)=6B^+`2IteI0NEB4yiN&f{AsYtKZH@V$w{O059
ziL|HG1&uq_?C8IzkBa;11;!xikLF(OJT^Ip<#WRa8i@{O--$C$AHIBELs}Fim24Kt
zhyN3a&l4T*(KccmY9{1h|7_37s}$9ZU+L5*ZrVi;#~k*JiH{0+6SCsiW&J$*fgq*^
zm9~;@aWPfjqvhKM>b>xujJBBupUZFGS(3#q;Ev9XWG_RT7Ph&I4kJkfkx2aJMO@45
zkDb3r{NsVb-3w=}mA7><6U60sB4_aYZo=X3=ySQv#gkr1&tgy(NAyK8!Se5w$L6S?
zKV(wH-(;zL)AeFk@@LILf)KHBtlDw;xT^^y7n`_j${$JGCb4UT)DPI$z0gGLx^rB;
z?Z<JG2ikkyjvMj|N9yS^w%yF09AGW{^f@tF(f6o~b?%SdJDie&tdl3iKOL8L*(CEX
z3I0?B^~B{&oD6oJyM`Uet1FS9V=6J#buF^iPU|v#ZOb30e$!D-n3m?V-+s#Kd&K<C
z`DavSTluF7CCf!c@BU;?E>B69xW!v`NDkNMRVNG{xTQHE=e=7q>4|>xJi`XQtaWbw
zj3E@OUq5!4q0RbANVWT^p2;n>$Kp*arS)tC;~kt22F0l8&@cF&@ap@MtAXYRKfTbn
z85UMJFM9lWVcai8z#h~V*Sl_vzize@LE*c(Z)R|Q&XiDKDDvC2Vj>DTnzbC1sO#@<
zz26iZtl@iFIQtUQEqSH^4(4Ue88SN<AyI#NPDVX)Vt7e<YYr2wl8Un6czXTp*@ETY
z^{$14=UDC0lI|=0@PX)1V7GjV^jboZgnP@DB5FSxWep}8o<&_w8Vz#nO2w3v{=!LK
zjC}1LRvBw~x=Y4H*J#9Ab^>ImIqzn%O?i^k*8;S4haOCwZ}_tE*b0Y%%EY!_?lrj;
z{_Q!|L;8H&>FOJ$TmwtyZw$&zczos1I+U(XZYsHH3QP4mt*1SR($(+Mskt7C!}LJ&
zqqT?B`juMdZMVcP&V9tQ=Jngmx3_%%CW)&ao%kg(5DGG*Lx*`5HlW3;e!E3R24Z{w
z1}R+ad}@0fQ)!_?Nik^%K*awj-~2Ei8C*Cls$WfeOWy26@!U;O_qa}LWy*0aKu_&s
zkss3r=GZtMxOgpDE3zd3%R7ctPnYLo68cO#i?=MjlR$kb&-Jo)uU7Y;+JguE4X=q_
z%n2#461D@4Ny7Jti&@`kT0rF3D+6MbLSswD9|T?d@yI+*r@8>(uTJwiyXgi~1$)t!
z##MIPsROZKOST9z%!{pg{KZSJMIzL^GH;9bO}Vk%QwJ5HRP#@j;2J_rJ1n|yQJ9MQ
znZ`iq9#@FzeL%K)yYAhHa1Q2z)JGqqgtOD>esC!?Bt6M@H3<)202fu&h~(5M*4Z;!
zV|^KGY~>%EG*c5<S<URFnjWr%{#2L0(XbRFOED;R%bL1zU0k)h$zETtlas|&a>|;Y
zHFt74Rg2C*F6XzAU9_*XqC${e>f<K4UzA5&%<SV|P(pR+ANu8gqnus17}XHLwGqGu
zzU<gn*$dVD*fNS?RY6_OMtWMVyr~1OP9#AQ(QgqLREiiq7MCZcxsS*QOH3#58_&Yr
z#yk7h`%m8D7v94<F0;B7MM@}asXEToan6|>3~~HjhKpz9Fx?SI6J%K-h3v49y*C$-
zv99QXG5ezJo<v0}W&lLOG5_X`{1q&xQb%834l{CO6&3hv>nZE$@gjlG0B=!8TFy+*
z%f+j=xuY2iuGI%S*y0$7<}2asdtVDGuhWzvW*=7|v*_)h^SnI`X~a-cYscx^*zCy2
z$ndB9eyJTYc3|BRzI2=Xb4W8WRzNqd1;+6A<>ei0&QtWTEi<(~57hexy22293z^7?
zZo-30-{C$HP31b;lY~0}OJ9+ih9b?gZqz^GnK-oO!d}GT4J~JB9M_5!nlF!SLFWdN
zJra-t4PqOiekg6iXoNHZkf95J?{L8$bcvgG7b7STI)RG<vMkEXk@Pu=*uVY}o!9|T
z1+X8eiKrwKL|@UMTD}S97Pjbp7#!d-GB^tA49JYuM9qVUe6n<ey@1dln@6E;9QHNH
zfRDsg-e6?;nqWweW`1L>Q-xF~lygPMRLZ~uo20CStSfr!rh~p#W=wY8&G>o<JYaeT
zt{iYebfbywU~@S(*hj!`kT<Yr+vZ;2OGtNHi(<*hu@*GRDbt)HXx?dCUJG=eN6X{O
z@w@FAC<g{r`ocm!___rm;Pipa-iKQa<y}p1w~dkePoh6b?a%(wKcc7OaC10@+P=dN
z(tr&QGc0uLNF%c_Sj4h@0A~dsQIleHfdsD^6Gm`7B}kJ{qye}@ngcR37Kd(JN+-Ya
z=Q~8XW1e6v^YHIID9!%$%i_|%G2<dcF?d6xO%~>6!jDDk=gH!HXc#;btCNxR=EYX!
z>N%cL`!U2GmICykeOF%o95Y@z5dY8+2!KPubM*nNt~RrWzP{`<WJCv`C7N{XiWy_o
zs;GKZ>r5P50wTg6un*F~!KjC>{&Gt$k9+X4K6vuTKn|Kl=Xol*H)LGNxeqHvv-*A`
zG_54}kJ`Ms?Y~coST3Z-&%r!AUaN1}?zt0NcNr#Sewzs57v7jl<!yqxoCFl*IZ?^1
zTp7DD1AG;u!74JV1ul2;%kz*{O4b}7=3XF7Qv)4@pjyy7+{+4p`Ni0-rom5RhQ%34
zN?-D$?Uz>IsTu@@#PSQo9gcV$;xP*odN`U+GUfsx;@hmC!Y}RqU3tlso~Ar|J9}TP
zHFx&%48Qg?#A)UN?r8zml(+JhKz%1EVtZFsE?D!if9};Y^AIo3m@!_eF4j*YUQeSM
z?&XgtmgK0{`$hR@mo2=v?nrUftIqeZB*l@^Sd-JT&M1(lhGLH}S?_MDvZl4otCsLQ
z5$v%`_XhG89T{@^Mz}6u@u^1t%S7@2gZ7C(`a?x^PGDX=Z=N*2GG}aa+T_T9*=&!G
zm4PE)dVs37Y^4C>gVMQ^tX;f=Nq%c#bjc5O-@l&35X{ax3}lb0L9lUkAft07-eb}x
zo5#U4v2hXT_Eyuf$+V}tmf*zld>X2oGxb?e`E!$R`A`YtP@7whiE$1q*X!FFJZq&m
z^6L5f8+?r;hYR9)y=_;i>_KghQ7_lA#r%fxa!`LT>;dY9Lm!jSssMdTYHw7I8F;fS
z{S50tN|J*;!#jPpz&sZ9G1rOlc1>t}FL~@JR5#9#s~+ipVp|yQ(drRvX1wCo;%t85
zrR=9yw_}@y)O`PmkBmM+K?m*Z?CM^`;eE5fW354aE}5~8L6f}k76QtjKaQnx5)yEa
zxp3p8@<CY4s0}%MiZ|n^<tJx5FTQI@2=RnMyor&T-jysQ<vc@gMU7`!C?K@|R_LZ@
zrQUrfkzHCADAtK6`&YlKjtE`ZH}n1dgKiXPo68>XFLHS=vR0Ubr!7?s;^gLqBCqA2
zWQuP&<QtPJ@Wiknl73Q|x!`+8)rC&q7`IB^kkY;^p~Ub6_hQ|Ks`>j>{I#zN8e6Da
zh{y`e*`<G0#&(FGiWk8-8xiqV_0F!m1bP=74MiEg2BX%;e9|F{c`!f27`@~PPl~?x
zy23i&d6mVRVt9Y*h)VPdow%xc-0m>-E%(a5G%DL!;Pfa_IOee#-m|sY6~CCoj(TRf
zx~zpg#omG9lauqRU&`fn^hq=PU)6C~VXm&fx-F*6EZ&2(j}xcB8h$xtD!|Pe$dU!`
zEjxCQ((Sc6g(wA1>&Ea$ulDF`zIL9fVxw&VwUsFg-w0(ibo>E_P}{=vxL{Tdf4(~Z
zM~_JG8yP)_^XOCTsX#?OM?b($no(*z(l&hy^AWB?^x$6!^rGnfBeOTI{gH97)SrBz
z|M<2|hrFHHSife}uyvMx|9u;Y<8JRPoR9rFZ?~0Z`vZfbvAiQYw;$6&V~~8K*m34-
zL(1|BJ9?D~iE{3+mJsKF2k!|h==YDCNJd&(=ft@~1G{awOrkW-t;uZK7Q{LKa8(rZ
za@GG2{ZQSf!eg-~X`u-_6qoU1b%o4i<JEvI$}#8MqHu})b~8ne3u*T?7<?2^7XOkU
z2ue$D`gDtF)w;D(3|uL9tc`qGzkk=5FX(P}R)E;IsCP%=<&j+<=4;A`UNH<zIt{9k
zGe16zEE@PFxuyMz;2tn2+s=P<L1Wx9H?b411@CPYyb@Yjc4pcuW+!#lCfVN7X0IxX
z;$f=|Vb7c4kCx8LupDDpH_AMjE4FXULUZ9jKdlfiR|%bf)=)iTo|o++6$8B9j@stt
z;vQUL=g7G2R|wR>*{X5!q{@X0!cjpM%min1@bKf;+GYH7VSjG{i^$qZk*}OyZU$Uw
zuE{6mRs8jZkNDn*wqf3FAw7HPkX7mQ-Ppq-ix#B0@I6;-c`2Y=aNozU_E-6PDkvA|
z4}@epD^UD1@T|^{&pa^CudJo$c~&ysdQ9Dy<MN+g3<Fo?pZXRpRkas{>A_z9A8>Ih
z3WJ+K2s8TEl~NXGUHefxoknRy1Mi#+L1eN2<jUs}Y#!&_R)qCp0WjtxJZLXs4+%Ca
zylE4i!MC?}P!QaPss15|9r}+jv*0&M!umx^`Xp2}@qV2z4R(E^UK{>aM1B-J-LQxL
zY?yo=DI^JCi}^<ogfZp=u_mLRuKsvrTsoucG~Ka({rysVdE9`{Iz~?Vw8xPNL=?0D
zZ7C+Bl7|z)!|~7~d_VxFJ6R^+rUDu!U_tv04m=`O36iqBiYPBoSB40W?3ihSZjVe_
z-#wI1e~(Wt7}W}~!4t+u-FfB+uYI4m4N5zS%H4%X;v(RCsh==SkX=tS>Pb{HrZhen
zxQpL9JM?jxlpl3^s@=O2<wz&UJ|h${V2~noNE+}%6v(61s$#>KhR5q7ex}$Ap=18N
zfuKvTT)EOAyABZB#kk*c<NJoA<fwQ0`uZ#!^BR7bKRaEXpepV5FREwE(~5*|pJp+)
zqz|TpSiDC4yaoi<a}?gtMkb({fDz*m0U9%{4ACbLHVfr8<fWxeC4_}RU6c-}ylfyI
zixELLYZp|W+-v=ent_rKn-&*|;gAnKoIwh|0MzD**GA8wxTiV)<<$w-l9gKxXrOV3
zeQQjvUB;_plG6nrPnwu|4AS{xs&B%}wCT&@tcWw`|A~X!Gj<4{JwrpXH1JRSvrHtp
zMQt-s=#dLQQ^HF66|jDj_I#=Vo7Z7o0`w-aKy)9m3p0nCL=>7oqh9ldl%0G{4C^}_
zM@1vG4$9qvn@pDdskH->;*IJ66i;^^chbM!b$$+HY^F}0V`{%g$@Q3nZo1XtLwHsX
z9z58Gc*O4J9EvOjvE)7=vS<z;J-Q#yuFOOoBZ_TNp`)xXHv4kIc$g5$V9Tk^iU7<}
zOaEY!o1zVIoTw9bc8bwsHF93?HOYtt+%C^@!GkXnOn`Q6)=Brld_W(lMUS0M#nP32
zSUQ!fi3kKR4+@y5bApmvA8{4_Y_IDwmaQe8YqaBJ0GuGioUY0`6?cMl5Awv(Z*H!A
z4WY>^{k&i>KY`SGivmV29|%rSXCtB*W*^oMp!JpbHEsA1)`hTo4)-}tm_J$b5n?ZL
zFYP{SQD|Q!L}wy#={K?lGNJuFc{JS{t&>KUjY&^!d?lXq1m*ZZ6t2=g9&7Q{@x&WQ
zk2EJ=9m*vOa$l28oOiPxHBz}_ORMRFU<AaC+0bC#t{P%Sx*@p2QhJWGeBw0tRk*|Z
zREC^8b#Qk;<G0b&>R2wpM*G9>h+5lqCSKy_@es{)$Cz89QHAsE0)ZP|XoM5D6u$TO
zlo~bquzkL}YzMescgD3&Ps{~@1P8KI4knt0Ea3}vNk(;Z4k(4I5JCr6W!~I)JZ(D0
z&^?qiUmtqd9Wvd=V9oENH9^b<`)jm7;Kz8%C;hQ21U|L4M>~5DeH3=HMENyWxnF!`
zIS@15U5^o%GU#bYz&^Y#>e*#dmu2+s%<ZByPJLNsr8p`r2j>w9TF0{EYY1aCK*xp{
zJ6FP0ob!%;tKmP<Stgbjgx4**G2v>r*_6}^l=`H|DJibXtr(ulrR(sful<>gvaF_r
zE$JUCe66H1(X7osywOK0pF4N%1D|$*?W@U7At=KiHizI_u&VFQjd#JC)|vDBX-@m!
zH~TBRxrJrWe;SQ=%Eixj!FEghloBj*mB-x?Xzmcs-!WKkpTW<aCmnIdP`kUitU-l<
z;sBtUy-ax;`iH)%Z6duP>j8dtLkMT!kgx>QMlxG)9F-srjP_k=>0L`#=CIVFp?C6E
z&y+W(SvErjS?E6D!*N&Nq`IwMi`iSul`C-2WY_5SDMJzXMOS}v*Eb<A;qD@Vp}?Y{
zky6zCxvZV3*CF<?X8-nNE>z0=<K(-{aiLG9EjN5)iyUS;wNDIniJ&ae(vhDP+xp+;
zB*9yLuHR<mw5UV!@?4pRm#Au2ha`ZQ=e@t-b3KrKkMc^V`)qu##9DGC7K_E+s$0``
zCwGA!F6fSd;-cAE$Kwf$*0)@2(PMU|aQ`s5l{dCXq4jf^^G>zA!A<8Hhn8M47F|nd
z>Py!gvdc8-l-w`eBRB!f)kY8!!e5S-#3($IgxXg+&skz;+yh(oR9&Uhig*i7n!Ndx
z(}2B?Xcz9f^t-@YPw#|y7t90>iJWuU8zTt=)4fn;RLUVU+TmlWBE#{NRl%a}<{JL|
zy#XOx=daJVgY#J`yd>HFlK7Jq@po-cz)>LkM?+x@0EIIRoqo*bzD$s`FSK5+zy{v-
zKwY*CLAYMl(ai4g9^rexTo33}VJ`3xIjwcy%1ZAzE7R&*D{1v~IeA#caF)cp+(!2x
zkS|@G0s5sodCg`j{g1g@a%57UY&+YPHIJAm=X=+en?AqtGICh-5M-BZmvxc_GYvFr
zB0Frm{_=Bw&9oLFJI+h(c)_v3YewiocD*VAytYm_y42X2)5^(^i3VPXyOsh48m}qN
zK65YWD{0vjTXQN|q90kx!+h?A3>V$GwEkyJHh%J>ACA-w7e$G0RFSrs<v#i`U0p<}
zF~mE^Z^5DW4t=c~p5)dsE;*SN9${9#mvW5p&qn0pw%uNbHQ7xnaHe?_Yh;^C$P8u%
z(RzEgeU>PB8(sZ&>woWa=;OJ)>Q5IRtQv{%x1nG8VCpow#%`=@FFH|(gxs~?t5~(|
z<8EdbmAT3%+`Qg!{r!EE6Jp<Fw_vY(en5ro%toghd=350tCy(C*<aptN;^I(<tmru
zfTLHjZnf@fRVJ+tMVr5Zk<_qZTlan;1A&derXug}Hq<es|0N7D^tEJv#V|=W$<83l
zjZoL%NWVQMiP8&IU6gM~d17sQ3%w6=6<4*$)1B?T0?A^yhwY#`yV;c}!4IR>+H~nX
zG7qzc^N(11$1h3_sMzqlbe>_oe`n`2^fM>-ew%aXJFwnNgLkt?{p4farMkIchjgdR
z`b%#~g?`DLJuuswy{j~}AA*@LTKbA1DXjm{z&OW}Dh~s0g3R75y2mZ$i`Z3(v+tJ9
zOb)8!tWs7{3B$LGh=?$&I>1GXIj!Y5-79?sRKMxuuxm7Z>JqkR8_QU_z{!vIC17t$
zjVyX5T^hM7w*jjFcj00#DC(c&v)XIbaG?K&`Hv|gzx|<J8L8$`%wKy@0PjmeTf5Qa
zQ_1U^pGV()IkF*(20%eE0M@cpnX!-i$iN5}g4kjZ$`CnSQRNaLRqou(C14oeG~(!5
z-3}g4TJ?idVPCuqpP+JRm!0lTTek|&Zzn>nx-8UOG*)d*Tsy;365M*JvLon+*#*kf
zXTawX`)t)jroKPvTJ?I;`ZE51Wxb%&IFD+`?%l4dm-JW+tjW81m|ee9Z2e>@<);|^
zA5)o5G=$908WSM!N@lkp#IBFFU0?^GeD9Q}%H>qe*0vhMQm!hAy4XhM_v?sdqng!D
z@_^2wADKs<U0OXmXz?&--Rk<_Piv*+hx?9IQHg6oOMfH7Yg^ag5=HNR!W-<`dDrWU
zT=Idf3f8ns?+jI$hO~vZ$SxmL@iSomt?yUr5*E9EDk^-h?Ck6*&gc2jkGPl6;ejk!
zAkWaXZ{O$YRpsH%_m!+tPWw`l@l@oQU0W$z!kz5{Qbw}wrfC0kP3+f+P!m79@!8r%
zuB_RDu#5Pz-(DAZ^nTegKquJo{sT!kbesQ+W{NaYSO#!;_ApbOrpxrJQLsRcR)Q0q
zF5h{s)43V}1f=A^N~B5uMJ7z$!*#~Q7fPjN!QDi3?ST0mU7d(d4$3rXB2^?r5Dnf$
zRx-91Zo11~6Rv|hAkA0%J&E+GZyq3Co+l*upbkp32#JXCJd-NtjC@bhgJBIO0P0Pe
zz|Gdg(QVOUn%iJATE4R;LV0;GxQZlMr>Ofk3KB$G<FZFoz?6{5cbKTO`E@`1Lq_;K
znrwW8&eb+oO1AgQxXingEzThb_p%twnWP(fx50Y|&U7>UWdu<Nt6UH%3VDslaGerp
zY17*lmm!CfMw?JbkP#IXW^^~AwWg?_p)ek~EjN1|25|Zz(m>(YY`yqtBawdKii=2k
z8@|DXmRuPmYOEkQG6a6Hr(PHLO>g?@RW#@DH>ssxe<h9cOic(HInmn5ER!?E_u6tP
z10uC0gWEK>uC&ow4%rb}&+SIFEG#V1IKDy;FLXgCGB}CaIE|6W&|W!XU!*~k^&HY~
z8WN}qRPdO>H2e<tZ+dc1^_x1E0pFgqr=V&1h*lP$bvbpiMc>dKNx@OUc4Sj!4BK!H
zPX?a(P&8YJ81#l*CxAjH$iu=Uo%RHY&v=SV20yK#fmtTFBdHfZhoRpxYM9_|=>I2%
zqr~M;hU3U~%WafVTrC+N3<xFs*)y77eVJR*pg83c#GWTyPtK}sV7zIly<HsXx7ck!
z%Rm@~=BhB$oA}zwx7YgV@<CojdYP!FHmhksfCxXS-l(jpm6&&*9>6}DkQy`{)aEqQ
zdIv*fpOObo<_!VI&uN^%0w+BK>E&rEq<c3L?HWh|{455$dxD<9!){Mm$#VqXx8WC`
z5=QC5C6qSVz>0-&TK91S4<A3iaDSmICV`FOr15?9=)@OWe5-6&+R^wf9lEOS-+q3g
z(@avQZKRM*j%0~|w92iYD00+cUQih4VviM$BR>><3=){B?t`82&QuYUN#u}v)sLy?
z-w35e!vALE1(ajXw(v*|;UuuERu<wJ+JX6L&p>AEv9eOt)STWI1uh#c@TSHAd{_kf
z9HVeUl(!`ykGv*?m2O*IuKi~Lq+?^cIe9I110e~rC>5pwWIPOUti+W@$vH?m=niXY
zzTwo?DcIn>o4l>hWrVc!OHMn_O;9Y*ykov65l8;M6Ar#Sq?xeFhOseNKl$&CB5$=L
z%;^uX4g*+Hao#T4b92EG(ml~20djY1d^<?P8e2tHWd5WyS_RNw!;4K`7%VC2h&c>g
zYr_z5k*onFS{@O+infrA{pL7hMT0jK^Er(((3(vM?A#fM2%Y-?EF`%jBO(~wc^mrc
zDluzHK{RJfGt;VD)8>@-q}65~4{F9=ed+@g>?DjExz5H<tyd5&Y%Rt)$u>-s-~qY$
zUFCW<rKGAVvXk=+idd2iL{xjb2D2Z45GBLo%%P{X#9S?nqetI@KLd5dLf&8k@8i}$
zHbVH#wKHuv+I_Cdpn#p|#?vzfa5dK7V4Jsr3Hq>PizDOfqy>gyqdoIW;75X*Z_hpi
z{W&{Rn<x7?>3QKu|Cubj>V(+GhO9{X*{X0R$Pta8Dn|q8MtWw*fiZ&nz5d(?7v8aA
z(4zaG0zjaHAh@XSWDZMW3GW$5HfJ%$9Wau35YPcKY>kP}VQWR@vAwpEl+j;WMtDj)
z0BS^HKlq(T#_biyq9EEkW|M!xZ_PYaV0H)TB(`=KeQ6bBjrahKD|hw6x`qea2kJU`
z=S==3%XHOMm>1h@z)eTi9~~V4GZtgeyccr=38N>pFu<yu7D@}iXkZdMfL3gUK%>z#
z4^6FvN&Pk&Qtw^K>ffP<Wt`McD6<Ug^<|zu_a~lj;%RWy#>NKH*tTw)Vz)ue$XvFZ
zQ`8;rpLz>UxtG>wf2HS<oS~8V){Bt!iSCNz<3*}c1Rpb`g;g+Yq3L(Xmn9ZB04l4r
zb*(vpyZ~%*!;uuQON$ELjO0&1+xG)8)v;S$mxXz38I-b5JbJ=wJh90ZSi~wT;d7hp
zotydcYLp6Ew<&;RJ&s=j8F`=OslO}kLOT9b+{xk|CY9MMSoIG#9lnJ2oq&5r9-mPf
zL|YJ^HsazX{hBr2sl*E`At6FF$5G7DF?EpOu>VEa-@o7K@cV~F<SRW)z<SgL9~=Pi
zmB2O&Sh<xjo&XRB3<7VnveUmFV;^LOLvVH4fR`;}b(N*uF`vFoP4-gUcl3FnGQ%5Z
zwsHOag@w1-gb+hR-ZYq+$Z6`v%EP<|fK-skz1YtUtw?97f1G0y9$EN;)yGnPwg-jM
zv1VNsb<rk!$DvC@)PSK7p}oDC!!P0J3*jm_<IxryKaobgyg<jCeeB}uyv&FViPpAb
zS*2wnlW9vFSwyd}6*eG5?aFiE0*KC|8^^z|j=p>{(@lFp6GzltKPC3{eUG;q(vd?B
zqYbTkJ}q)Va0&?mR#gqhOJW|k)h2+ez+WPaZ+)9-s&m?+D|1Vosuqb};EV6US9XA1
zb2!A0FIbQLdTs6geF-Hq@(R>+e<7ZL${ht-g9R1UBPBMY%xyC#hFY51f_f}pykyW$
z*)^kUbZwaf5^4e)+H%!flTBM|Pb|=r-Ui9|$$^;+)27N1;lZNl)dG)iJuH^|85p3k
z!ipBU1;A@+$BwOll;s)Z??%oj5(GfKdU0w8>sPwQ3Usi!84QlgiMnteNQ^^v+}Gnd
zOPnT^$1Gec-z>Z=c3t0*VOi9NjkLEmm{I!f?&aDaujrB`=LUt~;UFspUcKYuT{m)S
z=QCC}&;IsBOL!sl>3a(ws716oTSAP(z8^6t|15Z04-gbv6Z*95q&$*mg9=HK_4Bbf
z*C%0lb3ErO>=#bu`BPe8=3Z~#y*9+$(BQ<f5A%Y89ZHG<&N8o>^~Aeo(##m<1`?mL
z=YMG$>fr+0XsSx5cN~on2S1M}@4LsZJ2kT_*sk(C{%JJqdUF(+!}<vZRbdBS5rKdm
z!GFGySs4Js<^E{8FB&^vFxERzHt#Ux;<!G)J-*YD5=}jQ#E)ND+|Q}=$)|p+;=Pn5
z)7>j~%#G%UJkreGp3%DFG4*@xEqRLE0?%88jgzyzI<|w;i6RH3=~8!%@wW%tvV9d=
z{DES}g-+h%kcP_2Uwt>FF+ej*u)A}-t!WMKU30BFKf`huHmv+<BfKr=7<(~l*B;C{
zrA7C;@sh{>^^JDDv9}7_m<?-1;<M!e3{N*t=5p0YpILA5tc9A}RGG2HH^SxatvlSM
zok1b4Dh#|0!b+^>&NjAR+Ai8xbo+4(o*qx}MrJF!(nbp<#e2gTMIsN)ESXA#LNgrr
z`yUYksLc^aSL*q0rhv^UpEx6y>})hsn#?mQTOm9BeK}54dFqUo{q_c<Q>`V}m<E>9
zDV)o<j(Qum9<X+=m<JL8nSurBhd!(_vnV`%6mH~eYuci2Cwv)M5|wYX%3t5xYMYH;
zzH>G$Ou{Wf!VKWV*g|--GW}NmmBqX-va!6DZ}Ycs`(RIUkKXy2Z|l8gkzMBg5^_xu
zNNe6d5VCx;NNB6YcO~QpltW<Ag-MlozFWAg5I60HAs@F@L6rIo5=@^|Ri)^Y`+Ex~
zSMyEDom`0K^B5<#%v1XsxTiMjDeviYTcE45xT*S?V-9t&X5BLd_MnDMkw(gj5yw=<
zWM=jVom{Ngs@N?qqD*`EuiWLk2(Q@sx3spia6OQ@9_Um%L8QHY!%>Xd`fhTiY}VzT
zGfSKN8B1zorq=oHPwCIg+E><oS|4qD;>VO7vw|Ws8Iw&eYZ<o1ENWNtR5Yq?V{tWb
zV0#gg>3t^a@YrDRkx;|(bUz`Uw3oZ&0~I(MCLOx7BY1+UHb)8w7g(pCU)w8tT&Zd#
zby)PkqR3LQ!+ByTMaabfVhFqx0?3(7c4c4D`6sp4m5uWy%33@86H@u@%sxe}(s{g$
zXBxT<pQqOAgAOwZa^~;46n<p2x9auLlZtXIPd?qXb*&D)bV^LR-=_Mvs~s#GMLpeg
z=${n2FYe0rZru|TbMblphMYEMx!YXY`Sst<Q-nQRzu62?S5*0EOCRO)v=?j^*tl0~
zdVAJH$4xfbXAr3o2@zP$4b2^I4_#nL>vwzn9)dgHm?yf=6T&&XR9(;J?GY~UzZKrg
z^I6SpHP$pzA*-lTQVglfE!<sCckh7%b|~YV_6;wh%9Blz5NFh}SlCnRZp(?vQhmuj
zT1F)m_HDpyX_qnYZTfUodtG#<iu?9oakUZq{>=yCvb!JxuX2HRB5iS$?tzBsb8TEC
zrgybbTBJgbG?B;rl~t#91{(~1^gqFx{-*$h-!IsgW92-b$CHz-JpL;zXz-u%0k!>c
I@&-5l4?C2>+5i9m

diff --git a/dev/_modules/ffsim/random/random.html b/dev/_modules/ffsim/random/random.html
index 5ac5e4fd5..9871af7d3 100644
--- a/dev/_modules/ffsim/random/random.html
+++ b/dev/_modules/ffsim/random/random.html
@@ -308,6 +308,37 @@ <h1>Source code for ffsim.random.random</h1><div class="highlight"><pre>
 
 
 
+<div class="viewcode-block" id="random_density_matrix">
+<a class="viewcode-back" href="../../../api/ffsim.random.html#ffsim.random.random_density_matrix">[docs]</a>
+<span class="k">def</span> <span class="nf">random_density_matrix</span><span class="p">(</span><span class="n">dim</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="o">*</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="nb">complex</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">np</span><span class="o">.</span><span class="n">ndarray</span><span class="p">:</span>
+<span class="w">    </span><span class="sd">&quot;&quot;&quot;Returns a random density matrix distributed with Hilbert-Schmidt measure.</span>
+
+<span class="sd">    A density matrix is Hermitian and has eigenvalues between 0 and 1.</span>
+
+<span class="sd">    Args:</span>
+<span class="sd">        dim: The width and height of the matrix.</span>
+<span class="sd">        seed: A seed to initialize the pseudorandom number generator.</span>
+<span class="sd">            Should be a valid input to ``np.random.default_rng``.</span>
+
+<span class="sd">    Returns:</span>
+<span class="sd">        The sampled density matrix.</span>
+
+<span class="sd">    References:</span>
+<span class="sd">        - `arXiv:0909.5094`_</span>
+
+<span class="sd">    .. _arXiv:0909.5094: https://arxiv.org/abs/0909.5094</span>
+<span class="sd">    &quot;&quot;&quot;</span>
+    <span class="n">rng</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">default_rng</span><span class="p">(</span><span class="n">seed</span><span class="p">)</span>
+
+    <span class="n">mat</span> <span class="o">=</span> <span class="n">rng</span><span class="o">.</span><span class="n">standard_normal</span><span class="p">((</span><span class="n">dim</span><span class="p">,</span> <span class="n">dim</span><span class="p">))</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="n">dtype</span><span class="p">,</span> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+    <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">issubdtype</span><span class="p">(</span><span class="n">dtype</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">complexfloating</span><span class="p">):</span>
+        <span class="n">mat</span> <span class="o">+=</span> <span class="mi">1</span><span class="n">j</span> <span class="o">*</span> <span class="n">rng</span><span class="o">.</span><span class="n">standard_normal</span><span class="p">((</span><span class="n">dim</span><span class="p">,</span> <span class="n">dim</span><span class="p">))</span>
+    <span class="n">mat</span> <span class="o">@=</span> <span class="n">mat</span><span class="o">.</span><span class="n">T</span><span class="o">.</span><span class="n">conj</span><span class="p">()</span>
+    <span class="n">mat</span> <span class="o">/=</span> <span class="n">np</span><span class="o">.</span><span class="n">trace</span><span class="p">(</span><span class="n">mat</span><span class="p">)</span>
+    <span class="k">return</span> <span class="n">mat</span></div>
+
+
+
 <div class="viewcode-block" id="random_unitary">
 <a class="viewcode-back" href="../../../api/ffsim.random.html#ffsim.random.random_unitary">[docs]</a>
 <span class="k">def</span> <span class="nf">random_unitary</span><span class="p">(</span><span class="n">dim</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="o">*</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="nb">complex</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">np</span><span class="o">.</span><span class="n">ndarray</span><span class="p">:</span>
diff --git a/dev/api/ffsim.random.html b/dev/api/ffsim.random.html
index 1021822b4..ba92ab44d 100644
--- a/dev/api/ffsim.random.html
+++ b/dev/api/ffsim.random.html
@@ -300,6 +300,32 @@
 </dl>
 </dd></dl>
 
+<dl class="py function">
+<dt class="sig sig-object py" id="ffsim.random.random_density_matrix">
+<span class="sig-prename descclassname"><span class="pre">ffsim.random.</span></span><span class="sig-name descname"><span class="pre">random_density_matrix</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">dim</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed=None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype=&lt;class</span> <span class="pre">'complex'&gt;</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/ffsim/random/random.html#random_density_matrix"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#ffsim.random.random_density_matrix" title="Link to this definition">¶</a></dt>
+<dd><p>Returns a random density matrix distributed with Hilbert-Schmidt measure.</p>
+<p>A density matrix is Hermitian and has eigenvalues between 0 and 1.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>dim</strong> (<span class="sphinx_autodoc_typehints-type"><code class="xref py py-class docutils literal notranslate"><span class="pre">int</span></code></span>) – The width and height of the matrix.</p></li>
+<li><p><strong>seed</strong> – A seed to initialize the pseudorandom number generator.
+Should be a valid input to <code class="docutils literal notranslate"><span class="pre">np.random.default_rng</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Return type<span class="colon">:</span></dt>
+<dd class="field-even"><p><span class="sphinx_autodoc_typehints-type"><code class="xref py py-class docutils literal notranslate"><span class="pre">ndarray</span></code></span></p>
+</dd>
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>The sampled density matrix.</p>
+</dd>
+</dl>
+<p class="rubric">References</p>
+<ul class="simple">
+<li><p><a class="reference external" href="https://arxiv.org/abs/0909.5094">arXiv:0909.5094</a></p></li>
+</ul>
+</dd></dl>
+
 <dl class="py function">
 <dt class="sig sig-object py" id="ffsim.random.random_diagonal_coulomb_hamiltonian">
 <span class="sig-prename descclassname"><span class="pre">ffsim.random.</span></span><span class="sig-name descname"><span class="pre">random_diagonal_coulomb_hamiltonian</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">norb</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/ffsim/random/random.html#random_diagonal_coulomb_hamiltonian"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#ffsim.random.random_diagonal_coulomb_hamiltonian" title="Link to this definition">¶</a></dt>
@@ -798,6 +824,7 @@
             <ul>
 <li><a class="reference internal" href="#">ffsim.random</a><ul>
 <li><a class="reference internal" href="#ffsim.random.random_antihermitian"><code class="docutils literal notranslate"><span class="pre">random_antihermitian()</span></code></a></li>
+<li><a class="reference internal" href="#ffsim.random.random_density_matrix"><code class="docutils literal notranslate"><span class="pre">random_density_matrix()</span></code></a></li>
 <li><a class="reference internal" href="#ffsim.random.random_diagonal_coulomb_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_diagonal_coulomb_hamiltonian()</span></code></a></li>
 <li><a class="reference internal" href="#ffsim.random.random_double_factorized_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_double_factorized_hamiltonian()</span></code></a></li>
 <li><a class="reference internal" href="#ffsim.random.random_fermion_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_fermion_hamiltonian()</span></code></a></li>
diff --git a/dev/api/index.html b/dev/api/index.html
index cb373d55a..4170ae019 100644
--- a/dev/api/index.html
+++ b/dev/api/index.html
@@ -418,6 +418,7 @@ <h1>API reference<a class="headerlink" href="#api-reference" title="Link to this
 </li>
 <li class="toctree-l1"><a class="reference internal" href="ffsim.random.html">ffsim.random</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_antihermitian"><code class="docutils literal notranslate"><span class="pre">random_antihermitian()</span></code></a></li>
+<li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_density_matrix"><code class="docutils literal notranslate"><span class="pre">random_density_matrix()</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_diagonal_coulomb_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_diagonal_coulomb_hamiltonian()</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_double_factorized_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_double_factorized_hamiltonian()</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_fermion_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_fermion_hamiltonian()</span></code></a></li>
diff --git a/dev/explanations/hamiltonians.html b/dev/explanations/hamiltonians.html
index 6c1e6d9a3..c0b28430f 100644
--- a/dev/explanations/hamiltonians.html
+++ b/dev/explanations/hamiltonians.html
@@ -377,7 +377,7 @@ <h2>Operator action via SciPy LinearOperators<a class="headerlink" href="#Operat
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-np.float64(-99.5571707255154)
+np.float64(-99.5571707255161)
 </pre></div></div>
 </div>
 <p>Time evolution by the Hamiltonian can be computed using <code class="docutils literal notranslate"><span class="pre">expm_multiply</span></code>:</p>
@@ -395,7 +395,7 @@ <h2>Operator action via SciPy LinearOperators<a class="headerlink" href="#Operat
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_4178/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.
+/tmp/ipykernel_4325/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.
   evolved_vec = scipy.sparse.linalg.expm_multiply(-1j * time * linop, vec)
 </pre></div></div>
 </div>
diff --git a/dev/explanations/hamiltonians.ipynb b/dev/explanations/hamiltonians.ipynb
index 17bb39168..98bb144eb 100644
--- a/dev/explanations/hamiltonians.ipynb
+++ b/dev/explanations/hamiltonians.ipynb
@@ -33,10 +33,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:50.758615Z",
-     "iopub.status.busy": "2024-11-02T22:06:50.758414Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.481361Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.480785Z"
+     "iopub.execute_input": "2024-11-03T03:09:16.346902Z",
+     "iopub.status.busy": "2024-11-03T03:09:16.346714Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.081020Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.080489Z"
     }
    },
    "outputs": [],
@@ -68,10 +68,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.483854Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.483383Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.486495Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.485987Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.083290Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.082995Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.086117Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.085545Z"
     }
    },
    "outputs": [],
@@ -99,10 +99,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.488478Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.488009Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.491328Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.490731Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.087978Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.087600Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.090825Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.090268Z"
     }
    },
    "outputs": [],
@@ -127,10 +127,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.493562Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.493096Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.497862Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.497322Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.093007Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.092646Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.097274Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.096726Z"
     }
    },
    "outputs": [],
@@ -152,17 +152,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.500287Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.499883Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.527874Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.527295Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.099572Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.099346Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.127017Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.126284Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "np.float64(-99.5571707255154)"
+       "np.float64(-99.5571707255161)"
       ]
      },
      "execution_count": 5,
@@ -191,10 +191,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.560563Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.560093Z",
-     "iopub.status.idle": "2024-11-02T22:06:52.266470Z",
-     "shell.execute_reply": "2024-11-02T22:06:52.265818Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.160310Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.160096Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.860643Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.860013Z"
     }
    },
    "outputs": [
@@ -202,7 +202,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4178/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
+      "/tmp/ipykernel_4325/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
       "  evolved_vec = scipy.sparse.linalg.expm_multiply(-1j * time * linop, vec)\n"
      ]
     }
@@ -224,10 +224,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:52.269507Z",
-     "iopub.status.busy": "2024-11-02T22:06:52.269047Z",
-     "iopub.status.idle": "2024-11-02T22:06:52.864554Z",
-     "shell.execute_reply": "2024-11-02T22:06:52.863902Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.863573Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.863211Z",
+     "iopub.status.idle": "2024-11-03T03:09:18.460712Z",
+     "shell.execute_reply": "2024-11-03T03:09:18.460087Z"
     }
    },
    "outputs": [],
diff --git a/dev/explanations/orbital-rotation.ipynb b/dev/explanations/orbital-rotation.ipynb
index 655f3ca37..859e67a31 100644
--- a/dev/explanations/orbital-rotation.ipynb
+++ b/dev/explanations/orbital-rotation.ipynb
@@ -62,10 +62,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:56.169737Z",
-     "iopub.status.busy": "2024-11-02T22:06:56.169538Z",
-     "iopub.status.idle": "2024-11-02T22:06:56.899037Z",
-     "shell.execute_reply": "2024-11-02T22:06:56.898375Z"
+     "iopub.execute_input": "2024-11-03T03:09:21.631563Z",
+     "iopub.status.busy": "2024-11-03T03:09:21.631376Z",
+     "iopub.status.idle": "2024-11-03T03:09:22.312533Z",
+     "shell.execute_reply": "2024-11-03T03:09:22.311881Z"
     }
    },
    "outputs": [],
diff --git a/dev/explanations/qiskit-gate-decompositions.ipynb b/dev/explanations/qiskit-gate-decompositions.ipynb
index 8ca2846d6..7b29b6292 100644
--- a/dev/explanations/qiskit-gate-decompositions.ipynb
+++ b/dev/explanations/qiskit-gate-decompositions.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:58.522357Z",
-     "iopub.status.busy": "2024-11-02T22:06:58.522168Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.126606Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.125965Z"
+     "iopub.execute_input": "2024-11-03T03:09:23.917368Z",
+     "iopub.status.busy": "2024-11-03T03:09:23.917178Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.565565Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.565031Z"
     }
    },
    "outputs": [
@@ -81,10 +81,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.128905Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.128584Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.332766Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.332206Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.567924Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.567322Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.761542Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.761019Z"
     }
    },
    "outputs": [
@@ -119,10 +119,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.334978Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.334626Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.442284Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.441733Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.763519Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.763323Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.870911Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.870313Z"
     }
    },
    "outputs": [
@@ -156,10 +156,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.444404Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.444018Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.553502Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.552920Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.872949Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.872604Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.980857Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.980297Z"
     }
    },
    "outputs": [
@@ -196,10 +196,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.555681Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.555487Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.739469Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.738954Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.982990Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.982648Z",
+     "iopub.status.idle": "2024-11-03T03:09:29.164677Z",
+     "shell.execute_reply": "2024-11-03T03:09:29.164172Z"
     }
    },
    "outputs": [
@@ -250,10 +250,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.741538Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.741329Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.961375Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.960838Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.166796Z",
+     "iopub.status.busy": "2024-11-03T03:09:29.166349Z",
+     "iopub.status.idle": "2024-11-03T03:09:29.387587Z",
+     "shell.execute_reply": "2024-11-03T03:09:29.386986Z"
     }
    },
    "outputs": [
@@ -292,10 +292,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.963675Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.963176Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.100453Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.099729Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.389663Z",
+     "iopub.status.busy": "2024-11-03T03:09:29.389299Z",
+     "iopub.status.idle": "2024-11-03T03:09:29.523546Z",
+     "shell.execute_reply": "2024-11-03T03:09:29.523016Z"
     }
    },
    "outputs": [
@@ -334,10 +334,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.102962Z",
-     "iopub.status.busy": "2024-11-02T22:07:01.102426Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.646930Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.646337Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.525706Z",
+     "iopub.status.busy": "2024-11-03T03:09:29.525352Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.039067Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.038535Z"
     }
    },
    "outputs": [
@@ -378,10 +378,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.649188Z",
-     "iopub.status.busy": "2024-11-02T22:07:01.648806Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.845179Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.844535Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.041471Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.041025Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.220602Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.220016Z"
     }
    },
    "outputs": [
@@ -430,10 +430,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.847416Z",
-     "iopub.status.busy": "2024-11-02T22:07:01.847024Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.015640Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.015064Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.222622Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.222411Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.393201Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.392564Z"
     }
    },
    "outputs": [
@@ -474,10 +474,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.017941Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.017560Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.148536Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.147928Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.395341Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.394997Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.528290Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.527638Z"
     }
    },
    "outputs": [
@@ -513,10 +513,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.150512Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.150307Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.333394Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.332800Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.530494Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.530071Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.717127Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.716609Z"
     }
    },
    "outputs": [
@@ -553,10 +553,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.335622Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.335231Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.497600Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.497006Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.719094Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.718894Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.876052Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.875446Z"
     }
    },
    "outputs": [
@@ -593,10 +593,10 @@
    "execution_count": 14,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.499931Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.499520Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.633290Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.632671Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.878081Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.877874Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.009339Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.008649Z"
     }
    },
    "outputs": [
@@ -630,10 +630,10 @@
    "execution_count": 15,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.635564Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.635087Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.793784Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.793247Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.011688Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.011191Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.172103Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.171450Z"
     }
    },
    "outputs": [
@@ -677,10 +677,10 @@
    "execution_count": 16,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.795802Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.795595Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.004199Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.003576Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.174179Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.173981Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.352678Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.352060Z"
     }
    },
    "outputs": [
@@ -736,16 +736,16 @@
    "execution_count": 17,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:03.006269Z",
-     "iopub.status.busy": "2024-11-02T22:07:03.006027Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.475875Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.475209Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.354709Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.354371Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.809821Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.809198Z"
     }
    },
    "outputs": [
     {
      "data": {
-      "image/png": "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",
+      "image/png": "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",
       "text/plain": [
        "<Figure size 1547.39x1018.38 with 1 Axes>"
       ]
@@ -776,10 +776,10 @@
    "execution_count": 18,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:03.478046Z",
-     "iopub.status.busy": "2024-11-02T22:07:03.477834Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.741246Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.740643Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.812088Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.811571Z",
+     "iopub.status.idle": "2024-11-03T03:09:32.070455Z",
+     "shell.execute_reply": "2024-11-03T03:09:32.069935Z"
     }
    },
    "outputs": [
diff --git a/dev/explanations/state-vectors-and-gates.ipynb b/dev/explanations/state-vectors-and-gates.ipynb
index ab5474e3e..fa05e1d09 100644
--- a/dev/explanations/state-vectors-and-gates.ipynb
+++ b/dev/explanations/state-vectors-and-gates.ipynb
@@ -26,10 +26,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:06.348043Z",
-     "iopub.status.busy": "2024-11-02T22:07:06.347449Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.057825Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.057280Z"
+     "iopub.execute_input": "2024-11-03T03:09:34.368745Z",
+     "iopub.status.busy": "2024-11-03T03:09:34.368470Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.073398Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.072795Z"
     }
    },
    "outputs": [
@@ -74,10 +74,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.059969Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.059671Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.066592Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.065966Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.075828Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.075334Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.082159Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.081632Z"
     }
    },
    "outputs": [
@@ -120,10 +120,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.068827Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.068331Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.073007Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.072434Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.084178Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.083815Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.087941Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.087438Z"
     }
    },
    "outputs": [
@@ -157,10 +157,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.075076Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.074703Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.078868Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.078309Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.089961Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.089501Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.093668Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.093217Z"
     }
    },
    "outputs": [
@@ -199,10 +199,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.080725Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.080532Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.086393Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.085880Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.095658Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.095181Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.100872Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.100400Z"
     }
    },
    "outputs": [
@@ -245,10 +245,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.088300Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.087940Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.093699Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.093134Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.102857Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.102500Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.108227Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.107638Z"
     }
    },
    "outputs": [
@@ -293,10 +293,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.095605Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.095418Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.100663Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.100092Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.110198Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.109861Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.114791Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.114306Z"
     }
    },
    "outputs": [
diff --git a/dev/genindex.html b/dev/genindex.html
index 654e4653a..45290075f 100644
--- a/dev/genindex.html
+++ b/dev/genindex.html
@@ -998,6 +998,8 @@ <h2>R</h2>
   <table style="width: 100%" class="indextable genindextable"><tr>
     <td style="width: 33%; vertical-align: top;"><ul>
         <li><a href="api/ffsim.random.html#ffsim.random.random_antihermitian">random_antihermitian() (in module ffsim.random)</a>
+</li>
+        <li><a href="api/ffsim.random.html#ffsim.random.random_density_matrix">random_density_matrix() (in module ffsim.random)</a>
 </li>
         <li><a href="api/ffsim.random.html#ffsim.random.random_diagonal_coulomb_hamiltonian">random_diagonal_coulomb_hamiltonian() (in module ffsim.random)</a>
 </li>
@@ -1026,11 +1028,11 @@ <h2>R</h2>
         <li><a href="api/ffsim.random.html#ffsim.random.random_t2_amplitudes">random_t2_amplitudes() (in module ffsim.random)</a>
 </li>
         <li><a href="api/ffsim.random.html#ffsim.random.random_two_body_tensor">random_two_body_tensor() (in module ffsim.random)</a>
-</li>
-        <li><a href="api/ffsim.random.html#ffsim.random.random_uccsd_restricted">random_uccsd_restricted() (in module ffsim.random)</a>
 </li>
     </ul></td>
     <td style="width: 33%; vertical-align: top;"><ul>
+        <li><a href="api/ffsim.random.html#ffsim.random.random_uccsd_restricted">random_uccsd_restricted() (in module ffsim.random)</a>
+</li>
         <li><a href="api/ffsim.random.html#ffsim.random.random_ucj_op_spin_balanced">random_ucj_op_spin_balanced() (in module ffsim.random)</a>
 </li>
         <li><a href="api/ffsim.random.html#ffsim.random.random_ucj_op_spin_unbalanced">random_ucj_op_spin_unbalanced() (in module ffsim.random)</a>
diff --git a/dev/how-to-guides/entanglement-forging.html b/dev/how-to-guides/entanglement-forging.html
index 70cfdaec7..6fca73f9e 100644
--- a/dev/how-to-guides/entanglement-forging.html
+++ b/dev/how-to-guides/entanglement-forging.html
@@ -335,7 +335,7 @@ <h2>Build a molecule<a class="headerlink" href="#Build-a-molecule" title="Link t
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 converged SCF energy = -75.6787887956297
-Parsing /tmp/tmpp56jd4o0
+Parsing /tmp/tmp1kn5cxxi
 converged SCF energy = -75.6787887956314
 CASCI E = -75.7288249991515  E(CI) = -23.6332495815006  S^2 = 0.0000000
 norb = 6
@@ -347,7 +347,7 @@ <h2>Build a molecule<a class="headerlink" href="#Build-a-molecule" title="Link t
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-Overwritten attributes  get_ovlp get_hcore  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
+Overwritten attributes  get_hcore get_ovlp  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable
   warnings.warn(msg)
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable
@@ -471,10 +471,10 @@ <h2>Optimize energy<a class="headerlink" href="#Optimize-energy" title="Link to
   message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT
   success: False
    status: 1
-      fun: -75.6838156986605
-        x: [-1.603e-01  6.416e-03 ...  5.748e-02 -1.005e-01]
+      fun: -75.68381570802092
+        x: [-1.603e-01  6.417e-03 ...  5.748e-02 -1.005e-01]
       nit: 3
-      jac: [ 2.174e-04  1.151e-04 ... -4.758e-03  7.400e-03]
+      jac: [ 2.132e-04  1.165e-04 ... -4.746e-03  7.405e-03]
      nfev: 112
      njev: 7
  hess_inv: &lt;15x15 LbfgsInvHessProduct with dtype=float64&gt;
diff --git a/dev/how-to-guides/entanglement-forging.ipynb b/dev/how-to-guides/entanglement-forging.ipynb
index 9a33caec3..2a86a5b8e 100644
--- a/dev/how-to-guides/entanglement-forging.ipynb
+++ b/dev/how-to-guides/entanglement-forging.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:09.094115Z",
-     "iopub.status.busy": "2024-11-02T22:07:09.093635Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.093726Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.093004Z"
+     "iopub.execute_input": "2024-11-03T03:09:36.781894Z",
+     "iopub.status.busy": "2024-11-03T03:09:36.781699Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.765285Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.764665Z"
     }
    },
    "outputs": [
@@ -36,7 +36,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpp56jd4o0\n",
+      "Parsing /tmp/tmp1kn5cxxi\n",
       "converged SCF energy = -75.6787887956314\n"
      ]
     },
@@ -59,7 +59,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -125,10 +125,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.097160Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.096390Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.101323Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.100896Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.768847Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.767905Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.773013Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.772563Z"
     }
    },
    "outputs": [],
@@ -168,10 +168,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.103629Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.103242Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.106674Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.106113Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.774914Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.774553Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.777802Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.777214Z"
     }
    },
    "outputs": [],
@@ -200,10 +200,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.108692Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.108255Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.226251Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.225704Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.779838Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.779439Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.892792Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.892277Z"
     }
    },
    "outputs": [
@@ -238,10 +238,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.228417Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.227955Z",
-     "iopub.status.idle": "2024-11-02T22:07:18.112696Z",
-     "shell.execute_reply": "2024-11-02T22:07:18.112176Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.894957Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.894498Z",
+     "iopub.status.idle": "2024-11-03T03:09:45.830630Z",
+     "shell.execute_reply": "2024-11-03T03:09:45.830079Z"
     }
    },
    "outputs": [
@@ -253,10 +253,10 @@
       "  message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -75.6838156986605\n",
-      "        x: [-1.603e-01  6.416e-03 ...  5.748e-02 -1.005e-01]\n",
+      "      fun: -75.68381570802092\n",
+      "        x: [-1.603e-01  6.417e-03 ...  5.748e-02 -1.005e-01]\n",
       "      nit: 3\n",
-      "      jac: [ 2.174e-04  1.151e-04 ... -4.758e-03  7.400e-03]\n",
+      "      jac: [ 2.132e-04  1.165e-04 ... -4.746e-03  7.405e-03]\n",
       "     nfev: 112\n",
       "     njev: 7\n",
       " hess_inv: <15x15 LbfgsInvHessProduct with dtype=float64>\n"
diff --git a/dev/how-to-guides/fermion-operator.html b/dev/how-to-guides/fermion-operator.html
index cfa186be1..4cb7f4b8d 100644
--- a/dev/how-to-guides/fermion-operator.html
+++ b/dev/how-to-guides/fermion-operator.html
@@ -315,8 +315,8 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
-    (cre_a(3), des_a(0)): -0.25,
     (cre_b(1), des_b(5), cre_a(4)): 1+1j,
+    (cre_a(3), des_a(0)): -0.25,
     (cre_a(0), des_a(3)): 0.5
 })
 </pre></div></div>
@@ -336,7 +336,7 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&#39;FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j})&#39;
+&#39;FermionOperator({((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, False, 0), (False, False, 3)): 0.5+0j})&#39;
 </pre></div></div>
 </div>
 <p>FermionOperators support arithmetic operations. Note that when multiplying a FermionOperator by a scalar, the scalar must go on the left, i.e. <code class="docutils literal notranslate"><span class="pre">2</span> <span class="pre">*</span> <span class="pre">op</span></code> and not <code class="docutils literal notranslate"><span class="pre">op</span> <span class="pre">*</span> <span class="pre">2</span></code>.</p>
@@ -365,16 +365,16 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="highlight"><pre>
 FermionOperator({
     (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,
-    (des_a(3), des_b(3)): 0.0625,
-    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
-    (cre_b(1), des_b(5), cre_a(4)): 2+2j,
     (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,
-    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,
+    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,
+    (cre_a(0), des_a(3)): 1,
     (cre_b(2)): 0-0.25j,
+    (des_a(3), des_b(3)): 0.0625,
+    (cre_b(1), des_b(5), cre_a(4)): 2+2j,
     (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,
     (cre_a(3), des_a(0)): -0.5,
-    (cre_a(0), des_a(3)): 1,
-    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j
+    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
+    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j
 })
 </pre></div></div>
 </div>
@@ -404,16 +404,16 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="highlight"><pre>
 FermionOperator({
     (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,
-    (des_a(3), des_b(3)): 0-1.25j,
-    (cre_a(3), des_a(0), cre_b(2)): -1,
-    (cre_b(1), des_b(5), cre_a(4)): 12-12j,
     (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,
-    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,
+    (cre_a(0), des_a(3), cre_b(2)): 2,
+    (cre_a(0), des_a(3)): 0-6j,
     (cre_b(2)): -5,
+    (des_a(3), des_b(3)): 0-1.25j,
+    (cre_b(1), des_b(5), cre_a(4)): 12-12j,
     (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,
     (cre_a(3), des_a(0)): 0+3j,
-    (cre_a(0), des_a(3)): 0-6j,
-    (cre_a(0), des_a(3), cre_b(2)): 2
+    (cre_a(3), des_a(0), cre_b(2)): -1,
+    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j
 })
 </pre></div></div>
 </div>
@@ -434,16 +434,16 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
-    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
-    (cre_a(0), des_a(3)): 0-6j,
     (cre_b(2), cre_a(0), des_a(3)): 2,
-    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,
-    (cre_b(2), cre_a(3), des_a(0)): -1,
-    (cre_a(3), des_a(0)): 0+3j,
     (des_b(3), des_a(3)): 0+1.25j,
-    (cre_b(2)): -5,
+    (cre_b(2), cre_a(3), des_a(0)): -1,
+    (cre_a(0), des_a(3)): 0-6j,
+    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,
     (cre_b(1), cre_a(4), des_b(5)): -12+12j,
-    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j
+    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
+    (cre_b(2)): -5,
+    (cre_a(3), des_a(0)): 0+3j,
+    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j
 })
 </pre></div></div>
 </div>
@@ -512,11 +512,11 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-array([0.        +0.j        , 0.        +0.j        ,
-       0.        +0.j        , 0.        +0.j        ,
-       0.14864815-0.06985559j, 0.        +0.j        ,
-       0.        +0.j        , 0.        +0.j        ,
-       0.        +0.j        ])
+array([ 0.        +0.j        ,  0.        +0.j        ,
+        0.        +0.j        ,  0.        +0.j        ,
+       -0.07897558+0.00918165j,  0.        +0.j        ,
+        0.        +0.j        ,  0.        +0.j        ,
+        0.        +0.j        ])
 </pre></div></div>
 </div>
 <p>It can also be passed into most linear algebra routines in <code class="docutils literal notranslate"><span class="pre">scipy.sparse.linalg</span></code>.</p>
diff --git a/dev/how-to-guides/fermion-operator.ipynb b/dev/how-to-guides/fermion-operator.ipynb
index 9eefaa1a6..07c3b327b 100644
--- a/dev/how-to-guides/fermion-operator.ipynb
+++ b/dev/how-to-guides/fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:19.654851Z",
-     "iopub.status.busy": "2024-11-02T22:07:19.654659Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.377607Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.376996Z"
+     "iopub.execute_input": "2024-11-03T03:09:47.572603Z",
+     "iopub.status.busy": "2024-11-03T03:09:47.572123Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.272145Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.271588Z"
     }
    },
    "outputs": [
@@ -40,8 +40,8 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_a(0)): -0.25,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
+       "    (cre_a(3), des_a(0)): -0.25,\n",
        "    (cre_a(0), des_a(3)): 0.5\n",
        "})"
       ]
@@ -76,17 +76,17 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.379884Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.379426Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.383728Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.383237Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.274578Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.273960Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.278035Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.277487Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j})'"
+       "'FermionOperator({((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, False, 0), (False, False, 3)): 0.5+0j})'"
       ]
      },
      "execution_count": 2,
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.385740Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.385366Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.389693Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.389238Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.279831Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.279613Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.283964Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.283396Z"
     }
    },
    "outputs": [
@@ -122,16 +122,16 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
-       "    (des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
        "    (cre_b(2)): 0-0.25j,\n",
+       "    (des_a(3), des_b(3)): 0.0625,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
        "    (cre_a(3), des_a(0)): -0.5,\n",
-       "    (cre_a(0), des_a(3)): 1,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j\n",
        "})"
       ]
      },
@@ -170,10 +170,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.391711Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.391270Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.395098Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.394617Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.285803Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.285613Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.289505Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.288926Z"
     }
    },
    "outputs": [
@@ -182,16 +182,16 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
-       "    (des_a(3), des_b(3)): 0-1.25j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(2)): -5,\n",
+       "    (des_a(3), des_b(3)): 0-1.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
        "    (cre_a(3), des_a(0)): 0+3j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 2\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j\n",
        "})"
       ]
      },
@@ -220,10 +220,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.397030Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.396685Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.400609Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.400023Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.291473Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.291124Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.294960Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.294391Z"
     }
    },
    "outputs": [
@@ -231,16 +231,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
-       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (des_b(3), des_a(3)): 0+1.25j,\n",
-       "    (cre_b(2)): -5,\n",
+       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
+       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
        "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
-       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j\n",
+       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j\n",
        "})"
       ]
      },
@@ -265,10 +265,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.402780Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.402327Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.405706Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.405220Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.297038Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.296681Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.299730Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.299148Z"
     }
    },
    "outputs": [
@@ -298,10 +298,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.407686Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.407335Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.411626Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.411127Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.301714Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.301366Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.305046Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.304573Z"
     }
    },
    "outputs": [
@@ -341,21 +341,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.413487Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.413143Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.419446Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.418877Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.307040Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.306688Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.311970Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.311499Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.14864815-0.06985559j, 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        ])"
+       "array([ 0.        +0.j        ,  0.        +0.j        ,\n",
+       "        0.        +0.j        ,  0.        +0.j        ,\n",
+       "       -0.07897558+0.00918165j,  0.        +0.j        ,\n",
+       "        0.        +0.j        ,  0.        +0.j        ,\n",
+       "        0.        +0.j        ])"
       ]
      },
      "execution_count": 8,
@@ -380,10 +380,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.421745Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.421274Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.434858Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.434284Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.313721Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.313530Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.324189Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.323702Z"
     }
    },
    "outputs": [
diff --git a/dev/how-to-guides/lucj.html b/dev/how-to-guides/lucj.html
index 9a71dfe99..be0758b21 100644
--- a/dev/how-to-guides/lucj.html
+++ b/dev/how-to-guides/lucj.html
@@ -330,10 +330,10 @@ <h1>How to simulate the local unitary cluster Jastrow (LUCJ) ansatz<a class="hea
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
+converged SCF energy = -77.8266321248745
+Parsing /tmp/tmp3ddibu_u
 converged SCF energy = -77.8266321248744
-Parsing /tmp/tmpgls5fgzz
-converged SCF energy = -77.8266321248744
-CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000
+CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000
 norb = 4
 nelec = (2, 2)
 </pre></div></div>
@@ -343,7 +343,7 @@ <h1>How to simulate the local unitary cluster Jastrow (LUCJ) ansatz<a class="hea
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-Overwritten attributes  get_ovlp get_hcore  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
+Overwritten attributes  get_hcore get_ovlp  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable
   warnings.warn(msg)
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable
@@ -388,8 +388,8 @@ <h2>General UCJ ansatz<a class="headerlink" href="#General-UCJ-ansatz" title="Li
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-E(CCSD) = -77.87421536374029  E_corr = -0.047583238865859
-Energy at initialization: -77.8716002481628
+E(CCSD) = -77.87421536374032  E_corr = -0.04758323886585516
+Energy at initialization: -77.87160024816322
 </pre></div></div>
 </div>
 <div class="nboutput nblast docutils container">
@@ -435,10 +435,10 @@ <h2>General UCJ ansatz<a class="headerlink" href="#General-UCJ-ansatz" title="Li
   message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT
   success: False
    status: 1
-      fun: -77.87387392331689
-        x: [-1.152e+00 -1.542e-04 ...  3.684e-04  1.287e-01]
+      fun: -77.87387392050736
+        x: [-1.153e+00  3.835e-04 ...  3.271e-04  1.286e-01]
       nit: 10
-      jac: [-1.421e-05 -3.411e-05 ...  8.527e-06  7.105e-06]
+      jac: [-7.532e-05 -4.832e-05 ... -1.421e-06  5.684e-06]
      nfev: 949
      njev: 13
  hess_inv: &lt;72x72 LbfgsInvHessProduct with dtype=float64&gt;
@@ -486,10 +486,10 @@ <h2>LUCJ ansatz<a class="headerlink" href="#LUCJ-ansatz" title="Link to this hea
   message: CONVERGENCE: REL_REDUCTION_OF_F_&lt;=_FACTR*EPSMCH
   success: True
    status: 0
-      fun: -77.87363426389763
-        x: [-1.153e+00 -3.426e-05 ...  3.518e-02  2.561e-01]
+      fun: -77.87363426424223
+        x: [-1.152e+00 -9.666e-05 ...  3.520e-02  2.561e-01]
       nit: 5
-      jac: [-2.842e-06 -8.527e-06 ...  2.842e-06 -1.421e-06]
+      jac: [-2.842e-05  0.000e+00 ...  5.684e-06  2.842e-06]
      nfev: 329
      njev: 7
  hess_inv: &lt;46x46 LbfgsInvHessProduct with dtype=float64&gt;
@@ -567,29 +567,29 @@ <h2>Optimize with the linear method<a class="headerlink" href="#Optimize-with-th
 Number of parameters: 46
  message: Convergence: Relative reduction of objective function &lt;= ftol.
  success: True
-     fun: -77.87363432086376
-       x: [-1.152e+00 -6.554e-05 ...  3.512e-02  2.558e-01]
+     fun: -77.87363433758041
+       x: [-1.151e+00 -4.606e-04 ...  3.452e-02  2.562e-01]
      nit: 3
-     jac: [ 6.404e-07 -6.053e-07 ... -8.231e-08 -1.129e-07]
-    nfev: 544
+     jac: [ 4.562e-07  1.736e-07 ... -3.227e-07 -4.524e-07]
+    nfev: 577
     njev: 4
-  nlinop: 360
+  nlinop: 393
 
 Iteration 1
-    Energy: -77.87363062143118
-    Norm of gradient: 0.0016370665470034896
-    Regularization hyperparameter: 0.0032271540206360518
-    Variation hyperparameter: 0.9997509026686763
+    Energy: -77.8736283232542
+    Norm of gradient: 0.0019097937737423828
+    Regularization hyperparameter: 0.0011342252364610983
+    Variation hyperparameter: 0.9833189070064106
 Iteration 2
-    Energy: -77.87363431675553
-    Norm of gradient: 3.8336260919499114e-05
-    Regularization hyperparameter: 0.0025217349578626033
-    Variation hyperparameter: 0.9997506593747205
+    Energy: -77.87363426110551
+    Norm of gradient: 0.00010311164011631924
+    Regularization hyperparameter: 0.004681491680754198
+    Variation hyperparameter: 0.9801535566741463
 Iteration 3
-    Energy: -77.87363432086376
-    Norm of gradient: 5.710324954165145e-06
-    Regularization hyperparameter: 0.0025222760278943114
-    Variation hyperparameter: 0.9997506618976828
+    Energy: -77.87363433758041
+    Norm of gradient: 1.2775334823866314e-05
+    Regularization hyperparameter: 0.003048628566278581
+    Variation hyperparameter: 0.9802467636577891
 </pre></div></div>
 </div>
 </section>
diff --git a/dev/how-to-guides/lucj.ipynb b/dev/how-to-guides/lucj.ipynb
index 8fa454c33..9a5ebf832 100644
--- a/dev/how-to-guides/lucj.ipynb
+++ b/dev/how-to-guides/lucj.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:22.149915Z",
-     "iopub.status.busy": "2024-11-02T22:07:22.149720Z",
-     "iopub.status.idle": "2024-11-02T22:07:23.165114Z",
-     "shell.execute_reply": "2024-11-02T22:07:23.164515Z"
+     "iopub.execute_input": "2024-11-03T03:09:49.935152Z",
+     "iopub.status.busy": "2024-11-03T03:09:49.934963Z",
+     "iopub.status.idle": "2024-11-03T03:09:50.910705Z",
+     "shell.execute_reply": "2024-11-03T03:09:50.910127Z"
     }
    },
    "outputs": [
@@ -27,14 +27,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "converged SCF energy = -77.8266321248744\n"
+      "converged SCF energy = -77.8266321248745\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpgls5fgzz\n",
+      "Parsing /tmp/tmp3ddibu_u\n",
       "converged SCF energy = -77.8266321248744\n"
      ]
     },
@@ -42,7 +42,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
+      "CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
      ]
     },
     {
@@ -57,7 +57,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -123,10 +123,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:23.168746Z",
-     "iopub.status.busy": "2024-11-02T22:07:23.167789Z",
-     "iopub.status.idle": "2024-11-02T22:07:23.239035Z",
-     "shell.execute_reply": "2024-11-02T22:07:23.238466Z"
+     "iopub.execute_input": "2024-11-03T03:09:50.913953Z",
+     "iopub.status.busy": "2024-11-03T03:09:50.913324Z",
+     "iopub.status.idle": "2024-11-03T03:09:50.984167Z",
+     "shell.execute_reply": "2024-11-03T03:09:50.983496Z"
     }
    },
    "outputs": [
@@ -134,14 +134,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.87421536374029  E_corr = -0.047583238865859\n"
+      "E(CCSD) = -77.87421536374032  E_corr = -0.04758323886585516\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialization: -77.8716002481628\n"
+      "Energy at initialization: -77.87160024816322\n"
      ]
     },
     {
@@ -189,10 +189,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:23.241642Z",
-     "iopub.status.busy": "2024-11-02T22:07:23.241348Z",
-     "iopub.status.idle": "2024-11-02T22:09:07.699439Z",
-     "shell.execute_reply": "2024-11-02T22:09:07.698844Z"
+     "iopub.execute_input": "2024-11-03T03:09:50.986862Z",
+     "iopub.status.busy": "2024-11-03T03:09:50.986639Z",
+     "iopub.status.idle": "2024-11-03T03:11:35.224237Z",
+     "shell.execute_reply": "2024-11-03T03:11:35.223530Z"
     }
    },
    "outputs": [
@@ -204,10 +204,10 @@
       "  message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -77.87387392331689\n",
-      "        x: [-1.152e+00 -1.542e-04 ...  3.684e-04  1.287e-01]\n",
+      "      fun: -77.87387392050736\n",
+      "        x: [-1.153e+00  3.835e-04 ...  3.271e-04  1.286e-01]\n",
       "      nit: 10\n",
-      "      jac: [-1.421e-05 -3.411e-05 ...  8.527e-06  7.105e-06]\n",
+      "      jac: [-7.532e-05 -4.832e-05 ... -1.421e-06  5.684e-06]\n",
       "     nfev: 949\n",
       "     njev: 13\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
@@ -251,10 +251,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:09:07.703001Z",
-     "iopub.status.busy": "2024-11-02T22:09:07.702186Z",
-     "iopub.status.idle": "2024-11-02T22:09:44.475010Z",
-     "shell.execute_reply": "2024-11-02T22:09:44.474342Z"
+     "iopub.execute_input": "2024-11-03T03:11:35.227184Z",
+     "iopub.status.busy": "2024-11-03T03:11:35.226942Z",
+     "iopub.status.idle": "2024-11-03T03:12:12.262082Z",
+     "shell.execute_reply": "2024-11-03T03:12:12.261507Z"
     }
    },
    "outputs": [
@@ -266,10 +266,10 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.87363426389763\n",
-      "        x: [-1.153e+00 -3.426e-05 ...  3.518e-02  2.561e-01]\n",
+      "      fun: -77.87363426424223\n",
+      "        x: [-1.152e+00 -9.666e-05 ...  3.520e-02  2.561e-01]\n",
       "      nit: 5\n",
-      "      jac: [-2.842e-06 -8.527e-06 ...  2.842e-06 -1.421e-06]\n",
+      "      jac: [-2.842e-05  0.000e+00 ...  5.684e-06  2.842e-06]\n",
       "     nfev: 329\n",
       "     njev: 7\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
@@ -314,10 +314,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:09:44.478658Z",
-     "iopub.status.busy": "2024-11-02T22:09:44.477668Z",
-     "iopub.status.idle": "2024-11-02T22:10:06.110406Z",
-     "shell.execute_reply": "2024-11-02T22:10:06.109698Z"
+     "iopub.execute_input": "2024-11-03T03:12:12.264734Z",
+     "iopub.status.busy": "2024-11-03T03:12:12.264493Z",
+     "iopub.status.idle": "2024-11-03T03:12:36.098471Z",
+     "shell.execute_reply": "2024-11-03T03:12:36.097860Z"
     }
    },
    "outputs": [
@@ -328,29 +328,29 @@
       "Number of parameters: 46\n",
       " message: Convergence: Relative reduction of objective function <= ftol.\n",
       " success: True\n",
-      "     fun: -77.87363432086376\n",
-      "       x: [-1.152e+00 -6.554e-05 ...  3.512e-02  2.558e-01]\n",
+      "     fun: -77.87363433758041\n",
+      "       x: [-1.151e+00 -4.606e-04 ...  3.452e-02  2.562e-01]\n",
       "     nit: 3\n",
-      "     jac: [ 6.404e-07 -6.053e-07 ... -8.231e-08 -1.129e-07]\n",
-      "    nfev: 544\n",
+      "     jac: [ 4.562e-07  1.736e-07 ... -3.227e-07 -4.524e-07]\n",
+      "    nfev: 577\n",
       "    njev: 4\n",
-      "  nlinop: 360\n",
+      "  nlinop: 393\n",
       "\n",
       "Iteration 1\n",
-      "    Energy: -77.87363062143118\n",
-      "    Norm of gradient: 0.0016370665470034896\n",
-      "    Regularization hyperparameter: 0.0032271540206360518\n",
-      "    Variation hyperparameter: 0.9997509026686763\n",
+      "    Energy: -77.8736283232542\n",
+      "    Norm of gradient: 0.0019097937737423828\n",
+      "    Regularization hyperparameter: 0.0011342252364610983\n",
+      "    Variation hyperparameter: 0.9833189070064106\n",
       "Iteration 2\n",
-      "    Energy: -77.87363431675553\n",
-      "    Norm of gradient: 3.8336260919499114e-05\n",
-      "    Regularization hyperparameter: 0.0025217349578626033\n",
-      "    Variation hyperparameter: 0.9997506593747205\n",
+      "    Energy: -77.87363426110551\n",
+      "    Norm of gradient: 0.00010311164011631924\n",
+      "    Regularization hyperparameter: 0.004681491680754198\n",
+      "    Variation hyperparameter: 0.9801535566741463\n",
       "Iteration 3\n",
-      "    Energy: -77.87363432086376\n",
-      "    Norm of gradient: 5.710324954165145e-06\n",
-      "    Regularization hyperparameter: 0.0025222760278943114\n",
-      "    Variation hyperparameter: 0.9997506618976828\n"
+      "    Energy: -77.87363433758041\n",
+      "    Norm of gradient: 1.2775334823866314e-05\n",
+      "    Regularization hyperparameter: 0.003048628566278581\n",
+      "    Variation hyperparameter: 0.9802467636577891\n"
      ]
     }
    ],
diff --git a/dev/how-to-guides/qiskit-circuits.html b/dev/how-to-guides/qiskit-circuits.html
index d3b3ed488..68a0533f9 100644
--- a/dev/how-to-guides/qiskit-circuits.html
+++ b/dev/how-to-guides/qiskit-circuits.html
@@ -391,7 +391,7 @@ <h4>Prepare Hartree-Fock state<a class="headerlink" href="#Prepare-Hartree-Fock-
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d47ee0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d7b0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -420,7 +420,7 @@ <h4>Prepare Slater determinant<a class="headerlink" href="#Prepare-Slater-determ
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6fdc0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b5007bb0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -447,7 +447,7 @@ <h4>Orbital rotation<a class="headerlink" href="#Orbital-rotation" title="Link t
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e78100&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d660&gt;
 </pre></div></div>
 </div>
 </section>
@@ -469,7 +469,7 @@ <h4>Number operator sum evolution<a class="headerlink" href="#Number-operator-su
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d66026e0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48be170&gt;
 </pre></div></div>
 </div>
 </section>
@@ -494,7 +494,7 @@ <h4>Diagonal Coulomb evolution<a class="headerlink" href="#Diagonal-Coulomb-evol
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e7a410&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b519f850&gt;
 </pre></div></div>
 </div>
 </section>
@@ -517,7 +517,7 @@ <h4>Spin-balanced unitary cluster Jastrow (UCJ) operator<a class="headerlink" hr
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6603340&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48befb0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -540,7 +540,7 @@ <h4>Spin-unbalanced unitary cluster Jastrow (UCJ) operator<a class="headerlink"
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e79180&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b531fe50&gt;
 </pre></div></div>
 </div>
 </section>
@@ -567,7 +567,7 @@ <h4>Trotter simulation of double-factorized Hamiltonian<a class="headerlink" hre
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6df30&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b50078b0&gt;
 </pre></div></div>
 </div>
 </section>
diff --git a/dev/how-to-guides/qiskit-circuits.ipynb b/dev/how-to-guides/qiskit-circuits.ipynb
index 6ecb445e1..b18288874 100644
--- a/dev/how-to-guides/qiskit-circuits.ipynb
+++ b/dev/how-to-guides/qiskit-circuits.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:07.678004Z",
-     "iopub.status.busy": "2024-11-02T22:10:07.677818Z",
-     "iopub.status.idle": "2024-11-02T22:10:08.377733Z",
-     "shell.execute_reply": "2024-11-02T22:10:08.377077Z"
+     "iopub.execute_input": "2024-11-03T03:12:37.889779Z",
+     "iopub.status.busy": "2024-11-03T03:12:37.889596Z",
+     "iopub.status.idle": "2024-11-03T03:12:38.580022Z",
+     "shell.execute_reply": "2024-11-03T03:12:38.579464Z"
     }
    },
    "outputs": [],
@@ -54,10 +54,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:08.380399Z",
-     "iopub.status.busy": "2024-11-02T22:10:08.379943Z",
-     "iopub.status.idle": "2024-11-02T22:10:08.950985Z",
-     "shell.execute_reply": "2024-11-02T22:10:08.950368Z"
+     "iopub.execute_input": "2024-11-03T03:12:38.582251Z",
+     "iopub.status.busy": "2024-11-03T03:12:38.581958Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.150076Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.149437Z"
     }
    },
    "outputs": [
@@ -103,10 +103,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:08.953549Z",
-     "iopub.status.busy": "2024-11-02T22:10:08.952846Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.012477Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.011861Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.152839Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.152130Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.214306Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.213700Z"
     }
    },
    "outputs": [
@@ -160,17 +160,17 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.014649Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.014206Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.018489Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.017849Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.216546Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.216162Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.220539Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.219965Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d47ee0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d7b0>"
       ]
      },
      "execution_count": 4,
@@ -195,17 +195,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.020438Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.020240Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.025295Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.024703Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.222630Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.222281Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.227274Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.226695Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6fdc0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b5007bb0>"
       ]
      },
      "execution_count": 5,
@@ -242,17 +242,17 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.027527Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.027034Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.031793Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.031307Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.229451Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.228955Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.233536Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.233060Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e78100>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d660>"
       ]
      },
      "execution_count": 6,
@@ -279,17 +279,17 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.033747Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.033377Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.037418Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.036961Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.235405Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.235044Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.239111Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.238652Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d66026e0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48be170>"
       ]
      },
      "execution_count": 7,
@@ -315,17 +315,17 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.039543Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.039079Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.043658Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.043057Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.241098Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.240734Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.245046Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.244474Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e7a410>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b519f850>"
       ]
      },
      "execution_count": 8,
@@ -354,17 +354,17 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.045788Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.045430Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.050355Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.049767Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.246992Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.246644Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.251581Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.251112Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6603340>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48befb0>"
       ]
      },
      "execution_count": 9,
@@ -391,17 +391,17 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.052549Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.052067Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.057472Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.056994Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.253610Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.253168Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.258320Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.257748Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e79180>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b531fe50>"
       ]
      },
      "execution_count": 10,
@@ -428,17 +428,17 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.059366Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.059031Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.064840Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.064331Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.260485Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.260126Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.265208Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.264754Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6df30>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b50078b0>"
       ]
      },
      "execution_count": 11,
diff --git a/dev/how-to-guides/qiskit-sampler.html b/dev/how-to-guides/qiskit-sampler.html
index 169200dcc..6b51db92a 100644
--- a/dev/how-to-guides/qiskit-sampler.html
+++ b/dev/how-to-guides/qiskit-sampler.html
@@ -459,7 +459,7 @@ <h3>Sampling from an LUCJ circuit for a closed-shell molecule<a class="headerlin
 converged SCF energy = -108.835236570774
 norb = 14
 nelec = (3, 3)
-E(CCSD) = -108.9630419334854  E_corr = -0.1278053627110062
+E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110059
 </pre></div></div>
 </div>
 <div class="nboutput docutils container">
@@ -477,15 +477,15 @@ <h3>Sampling from an LUCJ circuit for a closed-shell molecule<a class="headerlin
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 {&#39;0000000000011100000000000111&#39;: 9924,
- &#39;0000000000110100000000001101&#39;: 16,
  &#39;0000000001110000000000000111&#39;: 10,
  &#39;0000000000011100000000011100&#39;: 10,
- &#39;0000000001011000000000010110&#39;: 10,
+ &#39;0000000001011000000000001101&#39;: 7,
  &#39;0001000001010000000000000111&#39;: 5,
- &#39;0000000001011000100000000110&#39;: 4,
- &#39;0100000000100100000000000111&#39;: 3,
+ &#39;0000000001011000000000010110&#39;: 5,
+ &#39;0000000000111000000000001110&#39;: 3,
+ &#39;0000000000110100000000010110&#39;: 3,
  &#39;0000000000011100100000001100&#39;: 3,
- &#39;0010000000011000000000010110&#39;: 3}
+ &#39;0000000001010100000000010101&#39;: 3}
 </pre></div></div>
 </div>
 </section>
@@ -555,13 +555,13 @@ <h3>Sampling from an LUCJ circuit for an open-shell molecule<a class="headerlink
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 SCF not converged.
-SCF energy = -75.3484557086637
+SCF energy = -75.3484557078781
 norb = 11
 nelec = (5, 4)
 
 WARN: RCCSD method does not support ROHF method. ROHF object is converted to UHF object and UCCSD method is called.
 
-E(UCCSD) = -75.45619739097027  E_corr = -0.1077416823065346
+E(UCCSD) = -75.45619739111282  E_corr = -0.1077416832347316
 </pre></div></div>
 </div>
 <div class="nboutput docutils container">
diff --git a/dev/how-to-guides/qiskit-sampler.ipynb b/dev/how-to-guides/qiskit-sampler.ipynb
index e4d5f4c53..97b6ce455 100644
--- a/dev/how-to-guides/qiskit-sampler.ipynb
+++ b/dev/how-to-guides/qiskit-sampler.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.023218Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.023032Z",
-     "iopub.status.idle": "2024-11-02T22:10:11.726751Z",
-     "shell.execute_reply": "2024-11-02T22:10:11.726209Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.138211Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.137758Z",
+     "iopub.status.idle": "2024-11-03T03:12:41.822139Z",
+     "shell.execute_reply": "2024-11-03T03:12:41.821616Z"
     }
    },
    "outputs": [],
@@ -71,10 +71,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.729211Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.728796Z",
-     "iopub.status.idle": "2024-11-02T22:10:11.792461Z",
-     "shell.execute_reply": "2024-11-02T22:10:11.791845Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.824635Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.824156Z",
+     "iopub.status.idle": "2024-11-03T03:12:41.888068Z",
+     "shell.execute_reply": "2024-11-03T03:12:41.887437Z"
     }
    },
    "outputs": [
@@ -154,10 +154,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.794615Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.794266Z",
-     "iopub.status.idle": "2024-11-02T22:10:12.073149Z",
-     "shell.execute_reply": "2024-11-02T22:10:12.072610Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.890036Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.889820Z",
+     "iopub.status.idle": "2024-11-03T03:12:42.164116Z",
+     "shell.execute_reply": "2024-11-03T03:12:42.163502Z"
     }
    },
    "outputs": [
@@ -174,7 +174,7 @@
      "text": [
       "norb = 14\n",
       "nelec = (3, 3)\n",
-      "E(CCSD) = -108.9630419334854  E_corr = -0.1278053627110062\n"
+      "E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110059\n"
      ]
     },
     {
@@ -188,15 +188,15 @@
      "data": {
       "text/plain": [
        "{'0000000000011100000000000111': 9924,\n",
-       " '0000000000110100000000001101': 16,\n",
        " '0000000001110000000000000111': 10,\n",
        " '0000000000011100000000011100': 10,\n",
-       " '0000000001011000000000010110': 10,\n",
+       " '0000000001011000000000001101': 7,\n",
        " '0001000001010000000000000111': 5,\n",
-       " '0000000001011000100000000110': 4,\n",
-       " '0100000000100100000000000111': 3,\n",
+       " '0000000001011000000000010110': 5,\n",
+       " '0000000000111000000000001110': 3,\n",
+       " '0000000000110100000000010110': 3,\n",
        " '0000000000011100100000001100': 3,\n",
-       " '0010000000011000000000010110': 3}"
+       " '0000000001010100000000010101': 3}"
       ]
      },
      "execution_count": 3,
@@ -276,10 +276,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:12.075120Z",
-     "iopub.status.busy": "2024-11-02T22:10:12.074921Z",
-     "iopub.status.idle": "2024-11-02T22:10:12.625245Z",
-     "shell.execute_reply": "2024-11-02T22:10:12.624751Z"
+     "iopub.execute_input": "2024-11-03T03:12:42.166426Z",
+     "iopub.status.busy": "2024-11-03T03:12:42.165828Z",
+     "iopub.status.idle": "2024-11-03T03:12:42.716195Z",
+     "shell.execute_reply": "2024-11-03T03:12:42.715670Z"
     }
    },
    "outputs": [
@@ -294,7 +294,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "SCF energy = -75.3484557086637\n"
+      "SCF energy = -75.3484557078781\n"
      ]
     },
     {
@@ -312,7 +312,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(UCCSD) = -75.45619739097027  E_corr = -0.1077416823065346\n"
+      "E(UCCSD) = -75.45619739111282  E_corr = -0.1077416832347316\n"
      ]
     },
     {
diff --git a/dev/objects.inv b/dev/objects.inv
index de75db5eb358329bae929bf5a4559291e760116d..63a64fe0d60afe73b1c53f1df15f656f4612e018 100644
GIT binary patch
delta 6791
zcmV;28hGXAO8QE$#0r0%`Cv$FaR*LyfS^3*U$+7K&a-Yp9(TX@#tWYBfPn4uf}O!E
z$cTW`SP&TVjMyFp5OG`#1P7UnLx9AoNaKPZ9cdj!iHz0DD4xx9rG6vW7db}|(XjPv
z%DVve<=&9vEmS&I;5eZJ;|#xuG4#sGdQgc4fRy5;s#+vSzMg-Z{H{yjCy!k~YCXfe
zJK2glk$7$l1<}a7=()Pmgw*XY2&!m^;4@}q9Op?TA*Ji7pg~|$GFH#kY5W9?>%%oJ
z`=<B;)d&bA*B6{Yvt0N~g@pz6pEdT5Gs`sL8BX347K82S{xCEPIf0HVI|h9!)iLTD
zQ^mlw;U%povZ8-#S<=^n3g}$1VPK7XFQQb6>=&20lPS>9PEg4hh;j!!6|Z(X(iTpt
z`QMaJ<1i}A`dXanRx^<njW-@vgp|U^w8`aUBrVK~5$mr&xGKg%-iG{8)nY0hipuY@
zU{|vlQtPsy@Q^NR9$lMBIbI3{WpdfFtJ%$bF^5sUm_>hXbMHVNeOV5${NZMT<}@Xr
zK^eQj5fUV5LyE`Gez9CEZrUztyYoMa^u!7i$+&zRna^BU2hb&Rh(Q<<L<r4QyTQJR
zsfH64L9?8$#&6;{p@amW{4DqFDFiJrK?x|u)ir(!!4*g#9ZGHy8Gu4<0pU$`(ozGf
zMaT&d9lKeoy8#(*OSzjO?S@pOKe3}6AooebmOwB783@Vsv<%B{jo?ovu@d)QHxm;e
zK?y27{W9$yOm#erFoeJL-Y%B36(lGDp=Z6Ri=}4;2};1}O;LWZ#1^-dlMoFl0(<R~
zI}I5ET-cLV4IY2E1X#;LXZZkP%M!`}YuW-4NCy#H#YRB$S|Rw8A*{ww3s^3rp6wyT
z?jlM9*8D=<lja~}OqWz_A^-`Snrm(}1rG4cv5epXk@?Jpb%4b)fLH`Vfux*tjXaxT
zIDqKcRo&U74!3wRTssgG=}+t^=9w9>_@UN5rZ}5lz5#zMfljCcWauR43k3VHo$)Zj
z8~Bg+-gcrt!Xad-<i~~Nol1&!=no;go&3Hf$ab}bqO^lwdzLKAMNNVZ$f>5P=aY$e
z^5$7YPa2-ghLYll5dje*@D%s-H&PT3fpiEl*A*=+I~NW_2+UKR!$p%b&fYpxur%nU
z%^txcEP{V#NGWHls36`{5T*6aJ#_I}Lj=+x#D>+N;pS3R6S~ROH7#!{g%Z7xxx=c!
z#PDo4j5nNj&OlOIsP2`)!Er@U9O8v}y#mYF)OII9n8-T<>R`_NkqRs$`(=Qz2$><N
zNpuI>fr&xbmi>kQ)63_0P=rvOyf-Jol3Quhs}?ORf)HK>=n;3MzigRk+is4A1c=-=
zWwJXC5?GQ-n>zXNMO%Ujk~nYZ-F!EBlO7Kqe=fE^nZ$}-OgvGyfO0g#)PmrS>je`d
zu-(vtxbMNk#5S?rtxyD8j<EbTM|LVKp*ABZ4)J2V28|{=MO(8z#h4y%U}G69^?ivz
zKH^Hh`e=ywW(c7QS%WwPC8+f1b;cj74lYV#zM+ls2B!c^Zl%3v#s}LgkP5=1;o6&a
zf9s9@8f-y1fO6XiZ+-#Z_<~r4Exv583%(#ENcnvn+5hE0>j*><;-f3D2i6}K4nzpT
zbG(YHZsKZNf$~x>X}K8^J`Jm|lP~mwg$jB})}**8k9^N3zIS+G>sWF)@m;*w?^StX
zeG>H`4))oX%?qTqC`};&A~$+=d&8E3e<e}0iQU~YD3mXez-Nan^mb7$DHPRym-1-D
z@Cu8N8Sap!_Mo*0SqFLJ=$-mx41lCf&2`Rh3{~Pjt*3=2iS#FSltVZKRoD&yBq)KP
zw}@*+<hMWxi(nY~!evqU`Y^Ey7+<^*x~R^0LD3orcWhz7h)&p`fN})FQ{1tQe{3fl
zh!BG3<_5#xSWp@Ydwet^Jv$g!5<xqBB__mmbsff)j9_Jt=|&`I2LnqYXv6Org*ZF!
z8im9#Yyn5jf;`t}&D;VAZf2-EA~_QzD1o83h@VF#xPSr3AV{tP^ATCDa3De`o|c$@
zWUdx0s34KE7FKWv)*2dIl*U{}f56#JS;7EhFeLrgA%o<ME0NYT2N`2}q@wHsNZ8bz
z^C9<iYMw_e6qJ`!%s3fGV~8c^!}6)QlN`2X7!M=9%yi-e!ojB=7V&YC>&+ru7?{Sa
zVSVa1_ARZk)+QDEW1l@02qF~GVP$lw=SlOKf2feoP71b%K1(7rP+oSde;K|=4K}#c
z^Q48$Z=n#PfuzDSOhmOL)3NCTWB{~8>?VB0w<?DOd~Eo<vCTV1${?F=Al*x45dj{~
zW2xv%^fBoAvSbBsyGhw$*A7bf2nG7@6$P`yHl8`nG}ZTneTA7&vWwq#=qW~RCqm7J
z;my#rmS+Gn;#ZP3P5Oj2e|Yuc?M-t1`SbO^B5x{$1b?|`^KU=gM2_bWlf$2AtH+zq
zZ$JDVxs&X+vj*})h1B$y6DUbxP)QnTf4kvMK)90zce2BIrpy}HJSSexeRUv^n}eM8
zw;S#Rgga?)E;so|5rQVf=0Dw7V);Z3JON91nuS+NS#7JoSuNSQe+95?M5w^FOF<RY
zZFNQgOQMMy<M>P3wc8l4;qWSGAMP5&nmEi4J0wjF?T-jsy^X#^07;?AO(8h_Yicl_
zOE9d0i~R-E;9REm=HdiuVMy%^<to36qbta^YjMiN(s;Qg(1cLUm)q{D{Q`*MxsqBi
z4-;n-hS9;hA)5}=f9@2}9}n;rWxR*bX3axKZ`T51cz%SI&BMXbw81q94lKWMw$+6d
z9zh51Mpylmdf<emtCD;x`^$+nNyF-fwX6g$Mg$1jVd<(Q-+t`w)(?_LKQ=qFvnK>M
zU_P+#HOmHpDcpThSKk<<{qiV>1TbudkM@xHDD|+2os%4ne<u(9>6A9-<kvHR$4bTi
z7-H`^-rjS&z2`oAxQUNrVgsAFC@Jvj<!^)hwZ2|yJOh}yqFK92okp)xux;3|#YCUS
zDXZrYlk%HISesJGmEg6CC^`!HqgiqmPeI1yke@Y=tWD~)>GG^#swcwJ@L(b3vDD=b
z|Bp?K6$DHSf5z{UmQO>|ST$!-hAt66QZRCSbbgVCp|}P+6Syq^AVPL#W*8*^lf^f&
zY!4xphG`XHL&`MefPss`x$;_)Uc_~`mdH{AfCzz@X}erpHK%Y}L%_s9{K~;00<B5Y
zn+hWV>%NvI<_^q~0x~QkdM9alUob)r7}`MzAfcQ@e<XJj$YF-N2iBzo(@M{i1~Xsn
z(A3yKpn_1ATN)WtJuG79q%Pqn;uijJCKkZNqU1_&SRFp2IA#TSEN1_Hq9+YuUIn2f
z6dbE%7aU#%<pa9waxk&>U?5oxT}ppuC*kVWfYKP!!2ZQ<S?gxp0vI;nrq*uGXmNca
zC{EQLe`V0tzyT!fMCFymEX^Ju?VBdNd|*dc-!nk8WJ?X}Q@gQgVfLJMkV6oEjPkG2
z>9c6YGk_Vnc<{*hluUe*7irT}4hewRbkzmVqMHssuM;3vPiYGpPnqb0mNNxnSYBZe
zpLo81LYvoh1L<HY-LEtnT+fpRH~*Yy{<+8ee{+!ee8Y>#11}=Sy$B)hiJao+F^5XA
zCxRGM4I^iUrW;6yP&wx{|1A%J-Z$b)<5)f`0EiHT*<F@X^GH+mCqsEqO3SF{NduXe
z$Aq%{++S)u2VFTN0A};01r6>kmZYXP6-=Vd?r0o@qAwA`0Jqa@+F5TWJJUf_?x?k7
zf7bM-0!dt|B&*on9fiiE8%T#!sj`enL}+?bAtcC|;mrw5HW2f`lK~j-3r4V9u*j7F
zvRXf<)&xz}pA6+e7-uOpcM`;Q$qGVGHE20gK!#y6`vv+uqhBXLtWKNy^x=yI0wxCH
zr`Ds!_ydf<Zw&zxgYawmG7)2VG^<I`f0qbmkW(4tJ_b3Q0UrR72nan-8q_?m-z4)w
z&yxl<-x9rVJ>Iu4?<s>g*Z2)MbZhC;iq=1^Xi?LOmN>0wJ=2O7KCJ+r8d>1ar$*KZ
zAge?3M9BJ4(U%BeAflNPCsUfLKN-k_G>sbdJZT{FV+ay@&uM{xi3Ru(=T>jrf77Zr
z;29P1UW3ij@<M}G20;ru(sCS$ccvq#;19uDt=dn&Lqri=<(42jQ#p?6VG#r;V922m
zH+#q-h^T{WUvzoH?pVXhjDfedt!nNhxNUi4mq=jH4W!$tsFUu9ovEdU^{LaC<7;97
zyY4T5MIiw!n_-oVa*fK(!G%fGf1|mC+I0<aT5Z0<70~P{2LU{ET&DprDrg@Nhu=Ir
z76;(~l6a!9&evyp?t%kSXma553?9SAp@yIwo?^9k+hIi{X;GZntJSa_*no=Ld8=zK
zvXg6j$d>=7LE|Vij{Ugbzjz8Vb|qJ-TfEIt(U%BgF#JJapcH+Hb_UHEf7E_SvH4Fs
z*6<bUWcZv(qJ7T<V8E>#NcU3#1QxZBScej|q&N(#PbVZ_&rN>UtphkiXaq5Uasi6!
zixXy>BEJxlfUXJvfiS{Q##?gL4FVN(u@ncjso@WfQrj2)z$1Ysgjpu=*j=s`Kt%Ce
z^$U@z#RO09e2m<<8+7sRe{Bkj;Nut!i$GJxdk7qV`sio_(2y9O-?To{e(lBgxHfWK
z!QoXl_yAs&0r4>wXAl~A2O7pJ5j(3`=Vqna`bPZN8}%Kol14$!;SY4&vyuZuFZU8y
z2QK%@fN22-o-R#qs)Gb<@8~%179E}YLjvn6E$W99h<J7V{?nW5e`xt2gr213IXSTo
zXC}G+@G5!n`eto!O7R%Rm|Gh0L#x&e^4c}&)f0ySQ5nHQeK|S$r#{5jo&*hmPpoL5
z#(9<1bAU-;C#oZBo#x_k*xn=B!AGlmk8bB=kZ%$1dkX#yDH=94cap<)U)NRBwKBjf
zJVxwMsa*@TTO(Age=R9!yQ#kCyiZ|_muudDA}Ng8uSe~mgrCqD5)Z**jAIwsAN%d$
zLo<x{_7Dw@R6mK~1`dJ4d#UK4U?%z*bPeo^&4_)|%(rTcXLd7C_)dfE+;H;q8dW`i
zUqgJV1^|Ei^5yZ>$NKZ6_nA$_#+rsOPuL5wnsjV~fMhXre-Rr8cH4_R1HTZ88LX3W
z7@WHsw*ZC>cB$HK)wW6vkaQ9Kg5Ky{eeE-HJO`R2#e-ZKb4Gy#NJ5E{Z&<H6cyCuj
z#lgG@?a4dPmTFKAMG-l>a~QYG@c@!gqNv91oqu!GEdXcJu$sz6s``_`JfIEjJNHhk
zJrT-)5=wJzf6)~{6CepCith#90rn{aQUP+l4_4WzXkVr>o&n5kYwaBfASnpB?Jc|y
z1}+NXN^jMz`T!X)Eow{dKmbWW$WdBvQ_+_QV}Nb3bv1Vq$TqT-o|Rk)5UZP7W(NXD
z3PO(D8e6o35&=RzX%v3D{H~!T1#Ea*>wN3OLCC`Ce{OHDZ-Zc11q6F~3x4ZH0ZSr@
zQrq-f9}YqmPM6Zk-&)keA{b8CcK>#z91=jVLG}c<3srwIoX4iV;ns(PkcHDF_ZGJ<
z44~YSqW)b}FAqa-^##<9wOwA``#zmIip-x-9UnP>4(5}zZCS&saZzMN)v~0o#eT+p
zQE^8Te;E-HVi^yLRe*VOFRm7f!&IV}C*Ex{4}BX-P=ZV_@$D4jSSH%t!;lz>uP0gp
zoar1p!7V^xw@W?-a}b_)>ch*_QfR2VlTciE&h~ZA&f}n{rSn=t!NgpAjZaCd1Q0u`
zqNOFw%QO3ab+HWIhZNa@UVnNUO}C#+y#xOde@|&Xl!fF1lYOsw7cz8hzYK>x<N1uz
zRbD@pi@ragA&I|QK8_aO$Efb2?tw+q8N0|h&<P=R5Zl*zCWYdziaA`o5{;b)3ISdm
zt|1omv#Odx)K${MmBJ35<`))EpXZGq^E6hcb>p`G(f^glcU2>f@wVGtUYoj6rj83!
ze@oxFW;B0fm}^F+W;AL7GvU<a>@Gf~*<bff)tBd3Fx<=S7Zz}rqf$1SWh3t1HrLjL
z%J*>^h(E7Fh@lF)6Z5#blhtOb=i4geE3`SicJA3IX>PQ^M$!<L?V|?V29Xcq`air#
ztgIbgS@dOiRPQ^t5YZo@80h{YogYu9f5gLeMcD?m8BdGN(<?YaA1$cIEdTTro2OUW
zXgcJgJ~ks-GAS7?Bp0sOJ9vwTED*1?=MJEQ{uG32YIsZ(eEJ$J#ZpL;z2TLlsIs((
z#?xb2(YL()i{7OzZ<D`8e}B&>ss9-bckrCX4r25gk8{|V57A=zWS&FE0|ILyf4mMy
zIGiEMdGgm}ibkWTo4sghhS7KttBi<MM#Nu+jEMiv#s5>81^IB}0ev@uip(8B#mi6%
z?$-f&8^Ry?T4Vk!{(C{8KIn6E@lXVGmP3)@Poc#_Bjn274J4hp>mW`k>uQ=2kE=()
zO14sv74GBkG@2KzM2Y>{r)S>uf8?33MYS_HEFZU6PKS>xgcVC76<Kp9=VD-|17x`X
zH#(;Mvw1OoK0U>$-7~afH(q3Y*mGl!#7|FAYWHd3($~EGEAL_v@jgDYth&@yo6DqN
zDfXz!^89DdU5Z3<WG0Itm^vBDx!n&pOi-*2<3Zk7?GeqHL??V0&-BJGe^;Q>DPWZ}
zXEm0&`kqKEz9%yDUh;-VtljX4`FKsN^KNwKjk5IHXzA#;q|3`XF~~>yT^&sx>$q%R
z^X@6;J+Nr=MfYPrl#KH7{Q_3>N)zmu80DoL^owq3j`xD&e__piUf#!;Mm0qK4=1Kd
ziK;+z8>Br%xtX$r&!R88e^izaUfdxyn%{4Kp;wt@?rdPa>?u~g0hZfW(a71-#VmDd
z<fOosg7PQE%+G9ir^T4z3b~q&Q<vmIZr=c{89m{k6U{opZOjT?FcbXqfE^mOTko7;
zGH~mi2{;-$c>^jQu0Ra~C0P)H-Mvds_Vw~QRHPDR=V2>dUekwAe;x4=IQ%Y^e@7cN
zQmMv|28fXtbTV`5F0?ebJzf?cDWqbbBOZ@Ujja%w?Ts68Op2z1sbkW!Umke1=&Ja>
z&(Ey=MXYj(OU@Vmhgi%NeW<Nu1GI)EJYJi+YHUmR2wRhklq8(P;ne5FnUCSs;v*xG
zI=on-$OnADKR!S(f65-Js%7)eQ7kvlYy%r8yO%!1A#vWCinK%wYu;k^yeQe?1%r8-
z80u#<1_}mqQG#O;iEW}ZhHoIqJC{)LS+JasnSU^~Hsa{cpgz2H<IPEGSw-uyz<jHk
z&%OovmZI=+0W$t}6b9A!#Pc`*LJiDHLvLJqULnNfWO?N?e=E|qh1nhpA%~KapvAq@
zSVEx*js<W;T@X~L6ff+{<~Erzqj*9zB)G5+#$y=rLdR>zwR~=ovUVLEc8$?x{xGc^
z^BJ^lQPjcc@Vn9zQ)H#59?6Mu(C)IO+q81)BKZbv#J-gK^Rm6b=J$Ioqu+yacxuhQ
z<=w;Jy4-$>e=n?isLn969|Is$>n75N{E_L=kiMj+<|<j<WPRSX;VQ6H&}+kK7^(0f
zXV>uDsB=Dg`BTb^)ylH#FVUz6;&D(v;}OoXKoDkkcxgpZPb1?gj23i#62OhPDhXk!
zWYnmX567pM5-SDuQYJ+-`!{YAe>zP3tfGQg2?IE`e`);-Lf60Q1z-qR>jLq3WX)sF
zzKN9=%XAb%WQ8z35i2ul?g^nXtUj~YSVOnO$pdiuq@avN@&QUEnd{*y@*RfddSRc;
za=mgtv0N|G!&sWT@{|=V0RN-ch+|dD+_mq4Yg}NTwSxjb(`%0zpWoWqgk3$CD=*sa
z4Y4X8e;qi(l9Ilggs9e=*OURo|7|PD5QoPCAv-p4jBv{<x%GjKE5v4^_vH+MfE(~Q
zZ<Jq7Y2|U~|7gcP`#6a4GQtO+;?vj=^M|a-`5VYnF<+nj=40Bl8xCJ9={QSErHN#G
zc<HwAo3L<PTNqWu^2#&@iG)g|t3;V7r}A%*f3NJj{3*(1FTzL~9%9{ky#zCusZ>#%
zWvam&L{?jHP%k<*<>Ki@W2wJcL#v_UaRt41dAn4+w^c8q#S;I+P!_+U@fXOr{3Ty}
zQ(gFAIhHfdafTzxXBx}9O6RzJU_}91Mz#?>E)B_<D#XyJ83|23I3MP<N>kQ{G}1Ml
ze@oKT43JAy<<IxuZU^9g8O@5C_x2SpZH-G^#G6*Lvb>wx0GE;}^fI5Xq3A%>c`B7|
zAYJGs|1p+a1E}m+xts$UAWGn+`a@Ip`(fNgoOE&#PP?#8=`~eD=&klc0LfpLTpymx
ze0Qmgz(W~ntG>yY8^$WFpohXTJhNG_fBLtE_Ir4!^Ey^PJy^Qbr@S5$4J6U<ilrew
z8a?x=&$90^@Yb@o?Xa+vi=+7B$+KU&UW}B|!gAt&yxd_MZ9vq9S11aqSk)KB-#%yq
zT+#uvRJ(X$Va+)rg>qMWc>+rxc@7(Tf;5q0K4wY09$XWdPPrVf$I|mFu;f39f46AX
z?DGQT6)?Pi!t@QowEp7uE{gVUW0^jj*B>9+^bgacFp?%aV@?+#r9Q9g>x<>8{hl9+
z{y=<x%C0h|>etA}XBtQ$0&3jbA%-*^V0fabk1OhSfH75v7@uh%!x+L2F{J4L!xK$?
zxRz>HAJTO7;mNbr%~QL+=Pv$qe?fGq>AZXDzn!JS{QT>o&Z|968i5N~>+3U4B-fRl
z)olYO0{t3|_f)vk-VQekfCto^6m~rh4mmdDWI{TrcF)SWP)zOP_;egA@;{%2PZj9Q
zc0Fn2-?Vp|-EjWEvUTpZ<J_}f?^U`%_S-`DuAaFG?6raEn}`OjdzaPzVefzb*R#;E
zdP%Ekran=aWL%S?OLex?jQS}a69%0>WK0BAN3_&{+NY=Pfj4Z1wkP7js^dTWEsCGD
pEN!v}Q+jx&D*cfDDZOXU00TljU;e$bki~e+PQ*Is`+x7RB_dCd^S1y1

delta 6772
zcmV-)8jI!nO6E$i#0r1;4y|qj_8mgqggkCp?~NBclmP+T=dCy+P>>M;N2nk$=E1Je
zSs(}^;*1vv4l;v=0EwfF#;rU$(mM1J8LO9}H=F4m{6?@Za$qk)SnGF-cLD6ny&=b|
zqjapm89)cd8Gd_W=t`6INDvDEDaA`wHM38?o}2uxOW?<aT|j?o5yHIi*or!lc&_;b
z(a5~$xw_JX)a@_`s%VIaF=jX$=kX#TrR%9kKVVZbz|Pfa{BDcuYcnqUruYKYh~gs`
z1)PztT=+|cg$4DWHDHc2%QWE`PG0U6BjoAQFEk4|fsQLXMrtb6F;p8<#b~qPC9Np3
zqH0;v*MbV@FtC4NV2yk)LQ9J57dNnzDLT+jP{|lQatAyWWOh5!7EY@9-;__|Fe=OX
zS{%ey(}xy~H=Zzrl)}ff$>j_pEzH{t>rXehD#k+IhWt>~V*VTorSGy}SF;&Xi>aWP
zjxK8+U7JZcUJ6B0a@n%0+0A@0hf%&jLvC~LKpuTr4zPdxF=B$|G$o%w8F0Z7$0KM%
zipS4>vD^l3+AeCl^FNC8#0nG1xG@}=&s<ms(9Lj&K^PK52+dWycD{+Jh7%S+vz+d;
zZ{j$igan}cESKad1T8Q@2`I(Y-Fphb6-Xc*N^WtTpF(W`;Z1eYQUj|+oCpvdyQ;eZ
z8Lv3Gn<7x{T2rJyv7;Oymq5doKrjFq2+8%d49jng;7=y85|>ps6B8go2`WAP2J9Y8
zbv%qPgunH&Eta$uBq#x)XT4sFrDp{RO2Fw&p?R>x7FUat84W2N%jj52D*$gQkkTeP
zZYo$B+C~L|ho<dL0y0_LvXfs89)Dm0Sj$3Z`2b?e5`O?|+5!<s2N7EZG(huOA^4La
ztj72VST3WU?IFbOBD4b5{6gK6<{)ECmsCI@012C#Yi=~%_V>)OjEDe{`OJlNfCV9d
zSOh|Wq?~k(JevY9fauv(-Pxp0q<Au1JH-;|PwXh>K^L+3q1Ha8;Fw>&0e>ukj+Fys
z=p^S;|NF3=@i4+0_>Y&>cA`JRA!MoK$A#pbN{V(;4<Wmq{Jtf~b{~bJw1Z!JmMqKd
zN`el^sivyu<Aiwf<^e)a8lKFClHv&L01+ba6qoBaQWOw@bO<rmy(%m_7Y;-S%u^kn
zMUyiQ%sNxBH0Y(x9(E%vf`4X6DQBxt9^O<CrS)|?bn#k41kxeIhSi|qx=~dVy2;hu
zDsL)<61|YQW1+yr@N74XH=Gy6KvG+%?v=s8aYaxZ;)Qu90?XLcb|*oY$b<drV9xwy
z2`nS~3I4DMnIWl3bVta6i9y(w{e}P2%jbAdgixKl*B!x<TWQm)7A-974_*c65qG4&
zY?)}=u6u?Ah}<@1vO9PYSdvPcI{ER1NP-HIIB)3PeAjQ2Cl4Nf0<}Mx#EM=_JfX6H
zax}u!g5VCu1rsB%-Oz%#FR#PIHnH8UPy}0!u>3Yhb}B5PHX|qw@nXEYj3zsUNV7i0
zm>#c9V;L;<eThIm;vT;G(uera2cZgCBQFFcsPyP{#vfn~E=ps*p^frJlmJU^rM+jy
z2iq%<3c{n|+M9MO>y7>zY>_m8a@z=RegWQ~fLMhszHF}xzQ`d+`F$MO|K&jI2t*O$
zqbnMd?++M%^9-x7lP~mwg^E;3)}**8k9^N3zIS+G>i}>#@m;*w?^SsMbQ1L-4))oX
z%?qTq&`KczA~$+=dt;4)B~i4A-Q6;hlP{6LXNN5Gc2O=V6xDv0@@NF!3X6~#?vSPS
zNV5o82YKV@o%+rTfTT^$b<S=KRpLIar-dhp^e1+IltVafRM-vxBq)KP=M6?hWb4Jm
zDqwu^#=oLE;{`=)Al$J9-6A?+g96GC2v1SHHnN>?AVLV9o2#S0DpIPUJ^C1to*fJ<
ziJ%?6a1!FWx@_V~MzFF+Od}GsgMlRxwBfgSLY$p9c|u|swt$0NL7wZATy6mbH#3kN
zk(>#C5|qHuTSTX$5?sIlWDq1*Veg16S2z$M6i-V;Ju+7d7F3YPSqs{?18WTpE=prA
z<I8NPEMWjL7?S?WhCy=1g+ptagN!lxP=RLwBy4KV*@k<vGS5;L3d+kVBAbj-F+^(f
zVfobDNe<gGNQM!;WjfCR;owsbi}*On)m#yOj0;R-*04VH8~c{lSZkAt{jtxU3bPQ3
zm#{Lr)bphI%s*5}XD0>QL!TuPcqcDA)(jtM1{+-JdD24Ww@?VtKvLluCSpdC>DcrE
zG5}g4G7`SxTa`lsJ~n*b*ybH0WsprbknW|j2#OBpu~hUW`WSS5S+at+-K6ZWYX>EN
ze1ro1_lknqVH?k!W}51I!oI>xDA~ntJM<I*wiAI|!|-O{SIaYi8SyJgn<jn28oYY(
z_9nUh{Q3G{kvA1Wg1=m}`L`c#BFA%x$>C45)#J_Qw;z6w+(~xZSp#{YLTdWU36!KT
zs3eWFzuj;rAlylVJK5npQ)Ufpo)a&B=e{}+$jw1c``Zn70>Yg%IG3AzqzFM1V)LJF
zEU|o|2A+T=Jk7!@rK~os->jDG+yYoOA`oBOrJ#!HwmPGLCDBBUar`Ci+HH*2aCjB8
z4|fe>O&sQj9g?Po_D2MT-bP;{fTYmmrT~}zH8mK|B^Xx0#r^_na4u7Ob8!NHwJ@Z1
zhH{nP#la9{+qF2uVQIYF5@<rG=F4q&)qVj)@mxtQn1_k83B%~%-H=TOYIh3gj|X^*
zGTuXIv*w|rw`&10JU>Fq=HcLI+Ta=l2bQ1x+UmjzkD!BhqpN;OJ#fO(RY|^;{pG}(
zq+xZ#T2_J=BLW2Nuyj?DZ$EZ_ck2hqqaT}{+1V3<8!#W(_nKvcz!XeAsjF`c(tdfA
zLjo8!!zXdbe3W`v#Lh_$$CHQtbV{3Z^6MGEW2It$46*kdZ|}L?-gBQl+{DK*v4Kro
zloWXN^0z_$T3@d;o&n5U(X3siPNP>T*fwm~VxrIEl+|;HN%=(}tWBwZ<Vx^bMHC%{
z{Lw5qi>DxCa>&n`N7g2F+H`qVFx3;`X?U=Z@>uF}hyTYW#tH%^2IF^0%cr4fteP_^
zLzf63DHu6EI={%nP+WtZ3EUO{5FtA=Ge{AD$>NJswucZ)!?cR9A!V9!z`#Y}TzM@?
zFXA#;OJu15K!iZdv|TQLu9{Q0ts!7yAb#cG5P{aD=}m=^fOTI>6LSY<NdXy_@v@V&
zye}9b2Mq0?1dvcpB9c1^<S@hC1M5<PX{F~$gPE^(XliUAP(dimEscz+9u~24Qdis)
zamRf)6ANHsQF0|XtPUS39J2yE7PEhy(36HRuR=T$3XavX3l6V;g7N{~bvc+=doYkJ
zhAyQ)vy*UjYd~oXX<+|ix2$zDZUGD%a8qkHXSBFJ5frCtk1}X$-~f_#qVhsumSzu-
z_DvIBKCq*!uLU4lvZaRgsomJLFndlr$RUV7M)_Ci^wBZn8NiHOJa}Y$N+v#di?nGf
zhXg=uy6S>w(M^YcpVtWxtEaRDji*fXLCcu}F)Xhzhz}^=KcUU*x`A{smF`y>4X)=&
zgPVU&H2>UV{yE5ezTrjWffteEUW5?$#3k|bm;;g66G05BhLJNv(+#9UsGRef|CWb9
z?;G(QZ!Dh`07MAF>@Lfxd8DcOlc78)rDfFfq=C%KV?tSfe(o<do`bF&5&*OL(t-x}
z7E4mon+hh;W_L6WLeZB9VSw9dHtnpplbz`xDtFXcGHZHMfg~<fl2z>PjzVM74Wz@V
zR9QwOA~e0J5EA6f@a6<28;E(}$pDP^1tVB4Sma6oS*@Q_Yl5cgPloa!jI)%QI|*XD
zWCfw88nm2$DImkJnf(HNp3$!pAXcYMefsdl0s#{P@l)$jWBdU|;J1c=i9z@^eVK?c
zJet*{=t~4M$f*o+AA=mufDeF31caU^4Qig(Z<2YT=ShQ_Z;9Tw9`9S2_mn}LYy1Wr
zy0!FaMeCndw5VxCOPp4;o@qr3pH=`*jV$ozQzPqt1d!FCc_L)}sOU?CFc7gqiIXW!
z)t?OHL7GO5dY&|p`7s0uz2~$*z{CRlh;yqq?rGH<@QjLhufb+%d7;58gP?^SX*rI>
zJJS(V@Q2{7R_&+XA)*Mba!Zh%sT@c3un2+^Fyv5(n?2+ZMAX5xFS@*8cdTJ$#=u+K
zRyB8j65O^tvP&c|=myg5RMbg##Lm=G!}`=|%<-)*fL-_ZwW5#!md&tAM!81i=HS94
z>d{<6?Yf3Itu|lb3TXC}g8&{nuG0V*6|@hC!*3oQi-T|gNjy<l=j$^)cfkQEG&%5j
z29IImP(x4-PqEs&?XV(}v?$K()oR!dY(T|-?Yz}B7um_RJ!H%O)1Yw_8pnRz?_WFx
z8M~6J)GglTsOU?CF&O?JFi?uVL_34#3~Ilm*!-s*YxqWVGJGr~(Y_V}FyPh=r2DA=
z0*hKmtV4-fQXGcWhY6Ce=O(}F)&ZO$G=dmFxd27=JqNQ*k>B4)KvxBTKp0^t<1M*=
z>IQ)dx>$;X+SKp|N2%=#f8dco6T&PLc<e4$3m~F+uKI;Y)nbCDcRogL+zq;T_cnz^
z@No==MW89;Jp_(FeRQ+|Xh;mtZ(5&ezxLv5R~xym;P5INd;qV?fcO}TGYAd50}bPq
zh@DlebF)%yeItJCjrtB(Nuwa=@CQ17?petJqL+IKtOJ*OWx%w615cNxH`PG`ws&-#
zcZ-hB{UL#Ml@|3w3PilRe*fvsb+mjCLQm52oSayPGm~6@c$K_(eY3VVrFaZu%q@-h
zp;hY!dF`6?>WRaEsEpvDzMLHWQy=1MPl5)(Css62<Gjl1Ilv^a6V;KmPIK{pIBf3`
z?ck%;y+^lmGRU`x_dNywh7=8(nmfs1yRYl2=~@}!6&@q@sMM~7+N}{P)|M2s-BjOm
z-ls6e%QbI6krYPl*Q0h&!cS-niHBe@#<7d+kNx)Wp&3Sedx!={s-MJg1Bbxjy;O8i
zFcbX@x(0T|X2iZ}=36z!GrJjoD14{Ec5XQNd5x-`zpo)aRRe&(efjeE>SO(R()-M&
zVq;B1m?!LoSWP;%K|rz?x`>SfyY0oEfnNy44A#jw49?w+TL8lbyHstrYFniSNV<rA
zL2q=fzNHyCo&!yi;z6#AIio-VB%wsfH>}qjytk{N;$Yr{_T(LCOEoBehoXp_-8qa~
z=6C=}C{a{n_s+jL>K1^rX;@9=B31p#U>?wh_MLkt)}9DuKnbO}w&)6=36O*m#rFd5
z0Q-~ysQ@|O2divUv@cT`&j4n&we}7KkQ9X6_7>g;0~ZBxrMK!<eSi#@7PTdJAb_MG
z<S4DTspw0DF~GLix|%zG31l1DO3zBJ1c=p5EwcjwBn2TyZjCM4L5TpNo-_)-U4GZl
zk^(lot#!Wj;UHw;bho$Hw?Qzh0)jog1;2HpfF+ScscrhL4+kL&r%P$&Z!PL!5ez46
zyMMb<4hbOGAbWz_g{nUp&SO*GaO=ZC$inH8dy88a22gHEQU5M~s+Wf$xcUNW$J#D0
z?|q+69Yy9(sE&^uKnL?l+P19W)wn3KqH0;v*J3~8zNomPiHrydv5W`BD!{zC7gr0#
zVJcC~6YsW}hrSIZC_yHe_;!kMEEDbSVMvU`*Ap!P&UB8Q;1-~;+a(`^IS9`?_2Fe|
zDKymGNhmHnXZt#TXXkNH)Y5sap<rSzzQ(7dRRV~eRngKC=H;1vzq(ik??Z}gL9ai(
zji%dArrv@7h^I6k%0hC1$-dXT3mLk$Uxve;@q9+<DzBf)Mc*ILki=gtA4iMtV^nuh
z_rRj*j9p|L=!B3ui0$h<lR|M<#T+hPiN?+Yg#a%O*ANST`dL*?A?hmW;Ywi#PxA|l
zr_b}ok9iua)4Fln|LFh9<GZR6$9UWAF0W19C{xFUsip5+Gnzj#%rzrZGa5C4nQ&@y
zb{C)0?63Q#>dSL181Civ3k$f*Q7IeEvJrQ0n``Sr<@-1d#Gh9o#83s@iFsVz$!asz
z^KBLK722GCUOV?}lr%TmU?XV=%l1(NZiC1Nas3}&Bv#fAuPpj9JgWDdTZrh7Pz-c`
zk<O2&Q{v&eqHKfOjHkus=@lHIj~3KpmVbJR&C@GwG#zqLADa;^nUstck_%Vt9lS+E
z7Kqo{a|h5te+oi1H9RH?K79?AVksoa-tbCNR9RYoMC0kPtms?b{zdQ7mbb~@qQAfA
zlhpr=hC6spV+S#MjmJ4`%!g>Pd@|3W;{k!S5MGBP9L^BsJo#%fMWa#F&0e%L!)UyS
zRYt@rBjPVZM#O*T;{U14f_%8~fW8|+Mdps6;$<iW_v-+?4dIV`tucQV|Gl74AN0Ao
zcqjsYI?JKR@Tbt?p%HRr?*@|2+;tGAlyx=Dh{x5VU?p2A$O`vycpA+MR-(jy?b9=F
zdh*QIqS_f8mXBL3r^Ck;!ipu4imbVlb1|^f0kT|x8y(aB*}ND(pPu5>?it##8!xgx
z?71;V;-{x5wfnSi>1*Epm3Og-cpslxR$c0Us?B9muoQb#WqJOy=PpGeIWm*Q5KNtn
z<=pOv8zv}Lhw&h9toDfJOrjG$jAwe|mn+ce6tGH~vl`1>eNQA7-xC>nFL}cw)^2#j
ze7q*sc{jTAMp^o8v~=`a(&c5H7~~`Uu8t;;bzHWudG{3a9$2*bqWiHQN=AA4egP|g
zdZh_=OpNkU4*Es6G{<|v@xQR<J}>WMOrshi|A!M(r9@Srxed}DqTEbb!e`N!T`J25
zFYb^U&F{Cr(5uWccQ&wI_7tn$0L$&GXyk0^VwO5Ja#CPRLHQG7=4Up%(_+kUg<MU?
zsY`Mpw{L*fjGl1NiDn()HfDt`m<j%WdB6^h+O2m^Fd4Y@&IB9{oxA}R4_Baufs!l;
z!S3FrC;NJN9V$|Zvh%Q&F0biBsE+su9DbL|zoU&BsZ`@f1H{M+I+;0j7g`$J9xscJ
z6jHIz5s$~F##V^T_Qs7kCPmZ1)G_JVFAuz0bX9!c=V#XbB38M?CFcwOLoDWhiayj<
zvH@Dd5+1KjT{X5Pe1xq@MoJRS;c)8n;>^eJYVnbgNF81*QRD+Y;2$3#7-bJt)v|f#
zD3+UNwt)?l-Af<hkT`EmMOq?;HE%I{UX*O{g26mZ4D~Y_0|kS*D8aFa#5PeH!#5D*
zolB_rELhIR%s-e~8*y}JP#@lZy7A^DwXCA`SYW<Y&1c^NeM?dJxBwY{I|_qpeB$|=
zf1w6urJ*-2J+BaAa<aVgnH6c<!fcO)kVDBy(Bj@{ETPZ@#{xK_E(j`AiWl}}bDPYV
zQ9L0U5?ojZ<1q|*q2smVT0XZ(S-Xx7yT<4;f0$N|`3%~&DC%Hz_+9CLi7B$uQ;+1t
zIB0j-(rsF~b&-4nHez4O{dw75VDtOEmeKD)IXtyy-}3HZa9wUc#TV8+RA-pkj{%UW
zbrb1B{>b!bNMF)ZbCoP_vOe$Ha1~f8=(XWAj8yoLvuk*6)Hxr${3+$dYGv8=muS=j
z@i?fT@d#&GAPBQNytJZ!sHc(f6h;fWJ_+DPT$O~dR5EH*%7^3AONo_&dMT44n*AHM
zi9a1CepXRItb_p^+qC`#q3d7u0x$%ub%A(1vgR>o-^9v`WjYEWvO*Z2h?N;N_k>Ux
zR-ajHtf5=t<N-K+Qc%Vs`2eMo%=K^;`3}Q!y|7Paxn8-SSgsd;>0vC*U3toi7J&cJ
zYs9gtW$xPdz%?$g&)PwOpXs&7jL&cFY{IUd%as>x_l8)Nj}Dw+NlD*LLR9O`YsvuP
z|F)H6h{I!nkR6*iM!4mb-1@-A6=E~d`*MarzzukuH_9)kwDLIgf3#zteH_Gi8R3IZ
z@o8*``9s#^{0-!PshF=%e)BPH+6{-Vm2{k?rP4$)KD=~W_)S<it}TozVtHj6gG53l
z(p92NlvDXP$XE7V{uJf17hxm~53z2&UV<6SRH`V>GS%P>BC9Pps23fZa`E({vDDwJ
zq190FxPsohyj?2Z+o~7QVu}A@D2rdw_zPrQ{*o`gsV;nfupG-7=QzU=<ui@tU8Qr}
zKCq$yEhF2A9+!sXOci2i)Qp5CADj>KTBRxLLmKIt&LwGT2FN9<^5^?+w*zp$jAlj6
zd;5x)w#KC{;!UerS>8=;fJ?~~dYRAHP;{W`Je5i}kS_F+{}@ZI0aSLZT+RUv5GC+Z
z{h=xQ{V?u-B2GHF2&Y}xru3SsA@o-JA%NsBORf*kWxl&qM&O~0v{m0^%nf6eR?tIX
z8J^iJSp8c=`#n6=c^#{t9xPqzQ(ljW29jua#nKQTjh^|`XW91{cx&0)c34=-#Zi3m
z<k>G>FGfmfVL9<XUhc4sHXv%lD-;D)tm=#6Zy&UO0WRr)S*l$;v9RVGkwUqvy*z=X
zk35GBJwcjCF(0!eUJtH`Os8Cq*JJ7V6<G40#9K6L_IUyF3K-r$VfqGPT7PkS7e#xw
zu}mM%>yHm@`iJRJ7)g_zF{g`=QlHoL^~G}4e$Nj@e;~d;Wmg$f^=stgGYzB=0X6RJ
z5JQ@O4lq2?)W;QdJHVK#LyXTfkYNmAhZxdyfZ>UzK3q$+s}E_q`tao0>gK6k-*Xp#
zx*)pLblyGn-_Fuue*X1P=hYr3jlc!0_4OGilIzOO>b8Lsfqsp~dn(*%Z-*NNzyoSd
z3cDT$ha4MnG9jH*yJzKGD5mytd^(O5`Jc~!!lw#!X1ks=@^9L^&2Bh<VA(o%+i~vM
zulFk5Ap32hdsolg1oqm%^i4#A*1gMW|Mx%t>sjbny`<GNQ=ceIGOkI{r8-+`M*S3z
z34_ibGA4qmBU)-e?bB2Dz#BG0+Y|9%)$t$x7RAq6mNwagDLp(>m3~P7l-{#vfB~Ts
Wo-hC2S;%5MW+!4D^!-1HWy_6L4eqJ{

diff --git a/dev/searchindex.js b/dev/searchindex.js
index 3a698b152..598622e10 100644
--- a/dev/searchindex.js
+++ b/dev/searchindex.js
@@ -1 +1 @@
-Search.setIndex({"alltitles": {"API reference": [[7, null]], "Application to the double-factorized Hamiltonian": [[8, "Application-to-the-double-factorized-Hamiltonian"]], "Application to time evolution via Trotter-Suzuki formulas": [[8, "Application-to-time-evolution-via-Trotter-Suzuki-formulas"]], "Brief background on Trotter-Suzuki formulas": [[8, "Brief-background-on-Trotter-Suzuki-formulas"]], "Build a molecule": [[15, "Build-a-molecule"]], "Build the Hamiltonian": [[23, "Build-the-Hamiltonian"]], "Choose reference occupations": [[15, "Choose-reference-occupations"]], "Circuit transpilation": [[19, "Circuit-transpilation"]], "Citing ffsim": [[21, "citing-ffsim"]], "Code example": [[21, "code-example"]], "Compute energy": [[15, "Compute-energy"]], "Contents": [[21, "contents"]], "Criteria for circuits that FfsimSampler can sample": [[20, "Criteria-for-circuits-that-FfsimSampler-can-sample"]], "Data representation": [[9, "Data-representation"]], "Diagonal Coulomb evolution": [[13, "Diagonal-Coulomb-evolution"], [19, "Diagonal-Coulomb-evolution"]], "Double-factorized representation": [[8, "Double-factorized-representation"]], "Double-factorized representation of the molecular Hamiltonian": [[8, null]], "Example of using FfsimSampler": [[20, "Example-of-using-FfsimSampler"]], "Explanations": [[10, null]], "Gates": [[14, "Gates"]], "General UCJ ansatz": [[18, "General-UCJ-ansatz"]], "Hamiltonians": [[9, null]], "Hartree-Fock and Slater determinant preparation": [[13, "Hartree-Fock-and-Slater-determinant-preparation"]], "How to build and transpile Qiskit quantum circuits": [[19, null]], "How to simulate entanglement forging": [[15, null]], "How to simulate the local unitary cluster Jastrow (LUCJ) ansatz": [[18, null]], "How to use ffsim\u2019s Qiskit Sampler primitive": [[20, null]], "How to use the FermionOperator class": [[16, null]], "How-to guides": [[17, null]], "Implement Trotter simulation": [[23, "Implement-Trotter-simulation"]], "Implementing Trotter simulation of the double-factorized Hamiltonian": [[23, null]], "Initialize ansatz operator": [[15, "Initialize-ansatz-operator"]], "Install from source": [[22, "install-from-source"]], "Installation": [[21, "installation"], [22, null]], "LUCJ ansatz": [[18, "LUCJ-ansatz"]], "Locality in the UCJ operator": [[13, "Locality-in-the-UCJ-operator"]], "Merging orbital rotations": [[13, "Merging-orbital-rotations"]], "More examples": [[20, "More-examples"]], "Number operator sum evolution": [[13, "Number-operator-sum-evolution"], [19, "Number-operator-sum-evolution"]], "Operator action via SciPy LinearOperators": [[9, "Operator-action-via-SciPy-LinearOperators"]], "Optimize energy": [[15, "Optimize-energy"]], "Optimize with the linear method": [[18, "Optimize-with-the-linear-method"]], "Orbital rotation": [[13, "Orbital-rotation"], [19, "Orbital-rotation"]], "Orbital rotations": [[12, "Orbital-rotations"]], "Orbital rotations and quadratic Hamiltonians": [[12, null]], "Overview of gates": [[19, "Overview-of-gates"]], "Pip install": [[22, "pip-install"]], "Prepare Hartree-Fock state": [[19, "Prepare-Hartree-Fock-state"]], "Prepare Slater determinant": [[19, "Prepare-Slater-determinant"]], "Qubit gate decompositions of fermionic gates": [[13, null]], "Sampling from an LUCJ circuit for a closed-shell molecule": [[20, "Sampling-from-an-LUCJ-circuit-for-a-closed-shell-molecule"]], "Sampling from an LUCJ circuit for an open-shell molecule": [[20, "Sampling-from-an-LUCJ-circuit-for-an-open-shell-molecule"]], "Spin-balanced and spin-unbalanced ansatzes": [[11, "Spin-balanced-and-spin-unbalanced-ansatzes"]], "Spin-balanced unitary cluster Jastrow (UCJ) operator": [[19, "Spin-balanced-unitary-cluster-Jastrow-(UCJ)-operator"]], "Spin-unbalanced unitary cluster Jastrow (UCJ) operator": [[19, "Spin-unbalanced-unitary-cluster-Jastrow-(UCJ)-operator"]], "State preparation gates": [[19, "State-preparation-gates"]], "State vectors": [[14, "State-vectors"]], "State vectors and gates": [[14, null]], "The general unitary cluster Jastrow (UCJ) ansatz": [[11, "The-general-unitary-cluster-Jastrow-(UCJ)-ansatz"]], "The local UCJ (LUCJ) ansatz": [[11, "The-local-UCJ-(LUCJ)-ansatz"]], "The local unitary cluster Jastrow (LUCJ) ansatz": [[11, null]], "Time evolution by a quadratic Hamiltonian": [[12, "Time-evolution-by-a-quadratic-Hamiltonian"]], "Treating spinless fermions": [[14, "Treating-spinless-fermions"]], "Trotter simulation of double-factorized Hamiltonian": [[13, "Trotter-simulation-of-double-factorized-Hamiltonian"], [19, "Trotter-simulation-of-double-factorized-Hamiltonian"]], "Tutorials": [[24, null]], "Unitary cluster Jastrow (UCJ) operator": [[13, "Unitary-cluster-Jastrow-(UCJ)-operator"]], "Unitary transformation gates": [[19, "Unitary-transformation-gates"]], "Use within Docker": [[22, "use-within-docker"]], "ffsim": [[0, null], [21, null]], "ffsim.contract": [[1, null]], "ffsim.linalg": [[2, null]], "ffsim.optimize": [[3, null]], "ffsim.qiskit": [[4, null]], "ffsim.random": [[5, null]], "ffsim.testing": [[6, null]]}, "docnames": ["api/ffsim", "api/ffsim.contract", "api/ffsim.linalg", "api/ffsim.optimize", "api/ffsim.qiskit", "api/ffsim.random", "api/ffsim.testing", "api/index", "explanations/double-factorized", "explanations/hamiltonians", "explanations/index", "explanations/lucj", "explanations/orbital-rotation", "explanations/qiskit-gate-decompositions", "explanations/state-vectors-and-gates", "how-to-guides/entanglement-forging", "how-to-guides/fermion-operator", "how-to-guides/index", "how-to-guides/lucj", "how-to-guides/qiskit-circuits", "how-to-guides/qiskit-sampler", "index", "install", "tutorials/double-factorized-trotter", "tutorials/index"], "envversion": {"nbsphinx": 4, "sphinx": 64, "sphinx.domains.c": 3, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 9, "sphinx.domains.index": 1, "sphinx.domains.javascript": 3, "sphinx.domains.math": 2, "sphinx.domains.python": 4, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.viewcode": 1}, "filenames": ["api/ffsim.rst", "api/ffsim.contract.rst", "api/ffsim.linalg.rst", "api/ffsim.optimize.rst", "api/ffsim.qiskit.rst", "api/ffsim.random.rst", "api/ffsim.testing.rst", "api/index.md", "explanations/double-factorized.ipynb", "explanations/hamiltonians.ipynb", "explanations/index.md", "explanations/lucj.ipynb", "explanations/orbital-rotation.ipynb", "explanations/qiskit-gate-decompositions.ipynb", "explanations/state-vectors-and-gates.ipynb", "how-to-guides/entanglement-forging.ipynb", "how-to-guides/fermion-operator.ipynb", "how-to-guides/index.md", "how-to-guides/lucj.ipynb", "how-to-guides/qiskit-circuits.ipynb", "how-to-guides/qiskit-sampler.ipynb", "index.md", "install.md", "tutorials/double-factorized-trotter.ipynb", "tutorials/index.md"], "indexentries": {"__init__() (ffsim.qiskit.diagcoulombevolutionjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW.__init__", false]], "__init__() (ffsim.qiskit.diagcoulombevolutionspinlessjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.dropnegligible method)": [[4, "ffsim.qiskit.DropNegligible.__init__", false]], "__init__() (ffsim.qiskit.ffsimsampler method)": [[4, "ffsim.qiskit.FfsimSampler.__init__", false]], "__init__() (ffsim.qiskit.givensansatzopjw method)": [[4, "ffsim.qiskit.GivensAnsatzOpJW.__init__", false]], "__init__() (ffsim.qiskit.givensansatzopspinlessjw method)": [[4, "ffsim.qiskit.GivensAnsatzOpSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.numnumansatzopspinbalancedjw method)": [[4, "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW.__init__", false]], "__init__() (ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.__init__", false]], "__init__() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.__init__", false]], "__init__() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.preparehartreefockjw method)": [[4, "ffsim.qiskit.PrepareHartreeFockJW.__init__", false]], "__init__() (ffsim.qiskit.preparehartreefockspinlessjw method)": [[4, "ffsim.qiskit.PrepareHartreeFockSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.prepareslaterdeterminantjw method)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantJW.__init__", false]], "__init__() (ffsim.qiskit.prepareslaterdeterminantspinlessjw method)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.simulatetrotterdiagcoulombsplitopjw method)": [[4, "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW.__init__", false]], "__init__() (ffsim.qiskit.simulatetrotterdoublefactorizedjw method)": [[4, "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinbalancedjw method)": [[4, "ffsim.qiskit.UCJOpSpinBalancedJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinlessjw method)": [[4, "ffsim.qiskit.UCJOpSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinunbalancedjw method)": [[4, "ffsim.qiskit.UCJOpSpinUnbalancedJW.__init__", false]], "action (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.action", false]], "active_space (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.active_space", false]], "addresses_to_strings() (in module ffsim)": [[0, "ffsim.addresses_to_strings", false]], "alpha (ffsim.spin attribute)": [[0, "ffsim.Spin.ALPHA", false]], "alpha_and_beta (ffsim.spin attribute)": [[0, "ffsim.Spin.ALPHA_AND_BETA", false]], "apply_diag_coulomb_evolution() (in module ffsim)": [[0, "ffsim.apply_diag_coulomb_evolution", false]], "apply_fsim_gate() (in module ffsim)": [[0, "ffsim.apply_fsim_gate", false]], "apply_fswap_gate() (in module ffsim)": [[0, "ffsim.apply_fswap_gate", false]], "apply_givens_rotation() (in module ffsim)": [[0, "ffsim.apply_givens_rotation", false]], "apply_hop_gate() (in module ffsim)": [[0, "ffsim.apply_hop_gate", false]], "apply_matrix_to_slices() (in module ffsim.linalg)": [[2, "ffsim.linalg.apply_matrix_to_slices", false]], "apply_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_interaction", false]], "apply_num_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_num_interaction", false]], "apply_num_op_prod_interaction() (in module ffsim)": [[0, "ffsim.apply_num_op_prod_interaction", false]], "apply_num_op_sum_evolution() (in module ffsim)": [[0, "ffsim.apply_num_op_sum_evolution", false]], "apply_on_site_interaction() (in module ffsim)": [[0, "ffsim.apply_on_site_interaction", false]], "apply_orbital_rotation() (in module ffsim)": [[0, "ffsim.apply_orbital_rotation", false]], "apply_tunneling_interaction() (in module ffsim)": [[0, "ffsim.apply_tunneling_interaction", false]], "apply_unitary() (in module ffsim)": [[0, "ffsim.apply_unitary", false]], "approx_eq() (in module ffsim)": [[0, "ffsim.approx_eq", false]], "assert_allclose_up_to_global_phase() (in module ffsim.testing)": [[6, "ffsim.testing.assert_allclose_up_to_global_phase", false]], "atom (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.atom", false]], "basis (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.basis", false]], "beta (ffsim.spin attribute)": [[0, "ffsim.Spin.BETA", false]], "bit_array (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.BIT_ARRAY", false]], "bitstringtype (class in ffsim)": [[0, "ffsim.BitstringType", false]], "c (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.c", false]], "ccsd_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_energy", false]], "ccsd_t1 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_t1", false]], "ccsd_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_t2", false]], "cisd_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_energy", false]], "cisd_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_vec", false]], "coeffs (ffsim.productstatesum attribute)": [[0, "ffsim.ProductStateSum.coeffs", false]], "conserves_particle_number() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_particle_number", false]], "conserves_spin_z() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_spin_z", false]], "constant (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.constant", false]], "constant (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.constant", false]], "constant (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.constant", false]], "constant (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.constant", false]], "contract_diag_coulomb() (in module ffsim.contract)": [[1, "ffsim.contract.contract_diag_coulomb", false]], "contract_num_op_sum() (in module ffsim.contract)": [[1, "ffsim.contract.contract_num_op_sum", false]], "contract_one_body() (in module ffsim.contract)": [[1, "ffsim.contract.contract_one_body", false]], "core_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.core_energy", false]], "cre() (in module ffsim)": [[0, "ffsim.cre", false]], "cre_a() (in module ffsim)": [[0, "ffsim.cre_a", false]], "cre_b() (in module ffsim)": [[0, "ffsim.cre_b", false]], "des() (in module ffsim)": [[0, "ffsim.des", false]], "des_a() (in module ffsim)": [[0, "ffsim.des_a", false]], "des_b() (in module ffsim)": [[0, "ffsim.des_b", false]], "diag() (in module ffsim)": [[0, "ffsim.diag", false]], "diag_coulomb_linop() (in module ffsim.contract)": [[1, "ffsim.contract.diag_coulomb_linop", false]], "diag_coulomb_mats (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.diag_coulomb_mats", false]], "diagcoulombevolutionjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW", false]], "diagcoulombevolutionspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW", false]], "diagonalcoulombhamiltonian (class in ffsim)": [[0, "ffsim.DiagonalCoulombHamiltonian", false]], "dim() (in module ffsim)": [[0, "ffsim.dim", false]], "dims() (in module ffsim)": [[0, "ffsim.dims", false]], "dipole_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.dipole_integrals", false]], "double_factorized() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized", false]], "double_factorized_t2() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized_t2", false]], "double_factorized_t2_alpha_beta() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized_t2_alpha_beta", false]], "doublefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.DoubleFactorizedHamiltonian", false]], "dropnegligible (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DropNegligible", false]], "expectation_one_body_power() (in module ffsim)": [[0, "ffsim.expectation_one_body_power", false]], "expectation_one_body_product() (in module ffsim)": [[0, "ffsim.expectation_one_body_product", false]], "expectation_product_state() (ffsim.singlefactorizedhamiltonian method)": [[0, "ffsim.SingleFactorizedHamiltonian.expectation_product_state", false]], "expm_multiply_taylor() (in module ffsim.linalg)": [[2, "ffsim.linalg.expm_multiply_taylor", false]], "fci_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.fci_energy", false]], "fci_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.fci_vec", false]], "fermi_hubbard_1d() (in module ffsim)": [[0, "ffsim.fermi_hubbard_1d", false]], "fermi_hubbard_2d() (in module ffsim)": [[0, "ffsim.fermi_hubbard_2d", false]], "fermion_operator() (in module ffsim)": [[0, "ffsim.fermion_operator", false]], "fermionaction (class in ffsim)": [[0, "ffsim.FermionAction", false]], "fermionoperator (class in ffsim)": [[0, "ffsim.FermionOperator", false]], "ffsim": [[0, "module-ffsim", false]], "ffsim.contract": [[1, "module-ffsim.contract", false]], "ffsim.linalg": [[2, "module-ffsim.linalg", false]], "ffsim.optimize": [[3, "module-ffsim.optimize", false]], "ffsim.qiskit": [[4, "module-ffsim.qiskit", false]], "ffsim.random": [[5, "module-ffsim.random", false]], "ffsim.testing": [[6, "module-ffsim.testing", false]], "ffsim_vec_to_qiskit_vec() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.ffsim_vec_to_qiskit_vec", false]], "ffsimsampler (class in ffsim.qiskit)": [[4, "ffsim.qiskit.FfsimSampler", false]], "final_orbital_rotation (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.final_orbital_rotation", false]], "final_state_vector() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.final_state_vector", false]], "from_diag_coulomb_mats() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.from_diag_coulomb_mats", false]], "from_fcidump() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_fcidump", false]], "from_fermion_operator() (ffsim.diagonalcoulombhamiltonian static method)": [[0, "ffsim.DiagonalCoulombHamiltonian.from_fermion_operator", false]], "from_json() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_json", false]], "from_molecular_hamiltonian() (ffsim.doublefactorizedhamiltonian static method)": [[0, "ffsim.DoubleFactorizedHamiltonian.from_molecular_hamiltonian", false]], "from_molecular_hamiltonian() (ffsim.singlefactorizedhamiltonian static method)": [[0, "ffsim.SingleFactorizedHamiltonian.from_molecular_hamiltonian", false]], "from_orbital_rotation() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.from_orbital_rotation", false]], "from_parameters() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.from_parameters", false]], "from_parameters() (ffsim.hopgateansatzoperator static method)": [[0, "ffsim.HopGateAnsatzOperator.from_parameters", false]], "from_parameters() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.from_parameters", false]], "from_parameters() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_parameters", false]], "from_parameters() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_parameters", false]], "from_scf() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_scf", false]], "from_t_amplitudes() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_t_amplitudes", false]], "generate_norb_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec", false]], "generate_norb_nelec_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec_spin", false]], "generate_norb_nocc() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nocc", false]], "generate_norb_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_spin", false]], "givens_decomposition() (in module ffsim.linalg)": [[2, "ffsim.linalg.givens_decomposition", false]], "givensansatzop (class in ffsim)": [[0, "ffsim.GivensAnsatzOp", false]], "givensansatzopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpJW", false]], "givensansatzopspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpSpinlessJW", false]], "givensrotation (class in ffsim.linalg)": [[2, "ffsim.linalg.GivensRotation", false]], "hamiltonian (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.hamiltonian", false]], "hartree_fock_state() (in module ffsim)": [[0, "ffsim.hartree_fock_state", false]], "hf_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_energy", false]], "hf_mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_coeff", false]], "hf_mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_occ", false]], "hopgateansatzoperator (class in ffsim)": [[0, "ffsim.HopGateAnsatzOperator", false]], "i (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.i", false]], "init_cache() (in module ffsim)": [[0, "ffsim.init_cache", false]], "int (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.INT", false]], "interaction_pairs (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.interaction_pairs", false]], "interaction_pairs (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.interaction_pairs", false]], "interaction_pairs (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.interaction_pairs", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionspinlessjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.inverse", false]], "is_antihermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_antihermitian", false]], "is_hermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_hermitian", false]], "is_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_orthogonal", false]], "is_real_symmetric() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_real_symmetric", false]], "is_special_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_special_orthogonal", false]], "is_unitary() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_unitary", false]], "j (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.j", false]], "jordan_wigner() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.jordan_wigner", false]], "linear_operator() (in module ffsim)": [[0, "ffsim.linear_operator", false]], "lup() (in module ffsim.linalg)": [[2, "ffsim.linalg.lup", false]], "many_body_order() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.many_body_order", false]], "match_global_phase() (in module ffsim.linalg)": [[2, "ffsim.linalg.match_global_phase", false]], "mergeorbitalrotations (class in ffsim.qiskit)": [[4, "ffsim.qiskit.MergeOrbitalRotations", false]], "minimize_linear_method() (in module ffsim.optimize)": [[3, "ffsim.optimize.minimize_linear_method", false]], "mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_coeff", false]], "mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_occ", false]], "modified_cholesky() (in module ffsim.linalg)": [[2, "ffsim.linalg.modified_cholesky", false]], "module": [[0, "module-ffsim", false], [1, "module-ffsim.contract", false], [2, "module-ffsim.linalg", false], [3, "module-ffsim.optimize", false], [4, "module-ffsim.qiskit", false], [5, "module-ffsim.random", false], [6, "module-ffsim.testing", false]], "mole (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.mole", false]], "moleculardata (class in ffsim)": [[0, "ffsim.MolecularData", false]], "molecularhamiltonian (class in ffsim)": [[0, "ffsim.MolecularHamiltonian", false]], "mp2_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_energy", false]], "mp2_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_t2", false]], "multireference_state() (in module ffsim)": [[0, "ffsim.multireference_state", false]], "multireference_state_prod() (in module ffsim)": [[0, "ffsim.multireference_state_prod", false]], "n_params() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.n_params", false]], "n_params() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.n_params", false]], "n_params() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.n_params", false]], "n_params() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.n_params", false]], "n_params() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.n_params", false]], "n_params() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.n_params", false]], "n_reps (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.n_reps", false]], "n_reps (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.n_reps", false]], "n_reps (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.n_reps", false]], "nelec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.nelec", false]], "nelec (ffsim.statevector attribute)": [[0, "ffsim.StateVector.nelec", false]], "norb (ffsim.diagonalcoulombhamiltonian property)": [[0, "ffsim.DiagonalCoulombHamiltonian.norb", false]], "norb (ffsim.doublefactorizedhamiltonian property)": [[0, "ffsim.DoubleFactorizedHamiltonian.norb", false]], "norb (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.norb", false]], "norb (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.norb", false]], "norb (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.norb", false]], "norb (ffsim.molecularhamiltonian property)": [[0, "ffsim.MolecularHamiltonian.norb", false]], "norb (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.norb", false]], "norb (ffsim.singlefactorizedhamiltonian property)": [[0, "ffsim.SingleFactorizedHamiltonian.norb", false]], "norb (ffsim.statevector attribute)": [[0, "ffsim.StateVector.norb", false]], "norb (ffsim.uccsdoprestrictedreal property)": [[0, "ffsim.UCCSDOpRestrictedReal.norb", false]], "norb (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.norb", false]], "norb (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.norb", false]], "norb (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.norb", false]], "normal_ordered() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.normal_ordered", false]], "num_op_sum_linop() (in module ffsim.contract)": [[1, "ffsim.contract.num_op_sum_linop", false]], "number_operator() (in module ffsim)": [[0, "ffsim.number_operator", false]], "numnumansatzopspinbalanced (class in ffsim)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced", false]], "numnumansatzopspinbalancedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW", false]], "numopsumevolutionjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW", false]], "numopsumevolutionspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW", false]], "one_body_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.one_body_integrals", false]], "one_body_linop() (in module ffsim.contract)": [[1, "ffsim.contract.one_body_linop", false]], "one_body_squares (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_squares", false]], "one_body_tensor (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_tensor", false]], "one_hot() (in module ffsim.linalg)": [[2, "ffsim.linalg.one_hot", false]], "orb (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.orb", false]], "orbital_rotations (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.orbital_rotations", false]], "orbital_symmetries (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.orbital_symmetries", false]], "orbitalrotationjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationJW", false]], "orbitalrotationspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW", false]], "phase_angles (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phase_angles", false]], "phis (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phis", false]], "pre_init (in module ffsim.qiskit)": [[4, "ffsim.qiskit.PRE_INIT", false]], "pre_init_passes() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.pre_init_passes", false]], "preparehartreefockjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockJW", false]], "preparehartreefockspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockSpinlessJW", false]], "prepareslaterdeterminantjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantJW", false]], "prepareslaterdeterminantspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW", false]], "productstatesum (class in ffsim)": [[0, "ffsim.ProductStateSum", false]], "qiskit_vec_to_ffsim_vec() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.qiskit_vec_to_ffsim_vec", false]], "random_antihermitian() (in module ffsim.random)": [[5, "ffsim.random.random_antihermitian", false]], "random_diagonal_coulomb_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_diagonal_coulomb_hamiltonian", false]], "random_double_factorized_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_double_factorized_hamiltonian", false]], "random_fermion_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_hamiltonian", false]], "random_fermion_operator() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_operator", false]], "random_hermitian() (in module ffsim.random)": [[5, "ffsim.random.random_hermitian", false]], "random_molecular_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_molecular_hamiltonian", false]], "random_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.random_nelec", false]], "random_occupied_orbitals() (in module ffsim.testing)": [[6, "ffsim.testing.random_occupied_orbitals", false]], "random_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_orthogonal", false]], "random_real_symmetric_matrix() (in module ffsim.random)": [[5, "ffsim.random.random_real_symmetric_matrix", false]], "random_special_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_special_orthogonal", false]], "random_state_vector() (in module ffsim.random)": [[5, "ffsim.random.random_state_vector", false]], "random_t2_amplitudes() (in module ffsim.random)": [[5, "ffsim.random.random_t2_amplitudes", false]], "random_two_body_tensor() (in module ffsim.random)": [[5, "ffsim.random.random_two_body_tensor", false]], "random_uccsd_restricted() (in module ffsim.random)": [[5, "ffsim.random.random_uccsd_restricted", false]], "random_ucj_op_spin_balanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_balanced", false]], "random_ucj_op_spin_unbalanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_unbalanced", false]], "random_ucj_op_spinless() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spinless", false]], "random_unitary() (in module ffsim.random)": [[5, "ffsim.random.random_unitary", false]], "rdms() (in module ffsim)": [[0, "ffsim.rdms", false]], "reduced_matrix() (in module ffsim.linalg)": [[2, "ffsim.linalg.reduced_matrix", false]], "reduced_matrix_product_states() (ffsim.singlefactorizedhamiltonian method)": [[0, "ffsim.SingleFactorizedHamiltonian.reduced_matrix_product_states", false]], "rotated() (ffsim.molecularhamiltonian method)": [[0, "ffsim.MolecularHamiltonian.rotated", false]], "run() (ffsim.qiskit.dropnegligible method)": [[4, "ffsim.qiskit.DropNegligible.run", false]], "run() (ffsim.qiskit.ffsimsampler method)": [[4, "ffsim.qiskit.FfsimSampler.run", false]], "run() (ffsim.qiskit.mergeorbitalrotations method)": [[4, "ffsim.qiskit.MergeOrbitalRotations.run", false]], "run_ccsd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_ccsd", false]], "run_cisd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_cisd", false]], "run_fci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_fci", false]], "run_mp2() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_mp2", false]], "run_sci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_sci", false]], "s (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.s", false]], "sample_slater_determinant() (in module ffsim)": [[0, "ffsim.sample_slater_determinant", false]], "sample_state_vector() (in module ffsim)": [[0, "ffsim.sample_state_vector", false]], "scf (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.scf", false]], "sci_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_energy", false]], "sci_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_vec", false]], "simulate_qdrift_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_qdrift_double_factorized", false]], "simulate_trotter_diag_coulomb_split_op() (in module ffsim)": [[0, "ffsim.simulate_trotter_diag_coulomb_split_op", false]], "simulate_trotter_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_trotter_double_factorized", false]], "simulatetrotterdiagcoulombsplitopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW", false]], "simulatetrotterdoublefactorizedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW", false]], "singlefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.SingleFactorizedHamiltonian", false]], "slater_determinant() (in module ffsim)": [[0, "ffsim.slater_determinant", false]], "slater_determinant_amplitudes() (in module ffsim)": [[0, "ffsim.slater_determinant_amplitudes", false]], "slater_determinant_rdms() (in module ffsim)": [[0, "ffsim.slater_determinant_rdms", false]], "spin (class in ffsim)": [[0, "ffsim.Spin", false]], "spin (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.spin", false]], "spin (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.spin", false]], "spin_square() (in module ffsim)": [[0, "ffsim.spin_square", false]], "states (ffsim.productstatesum attribute)": [[0, "ffsim.ProductStateSum.states", false]], "statevector (class in ffsim)": [[0, "ffsim.StateVector", false]], "string (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.STRING", false]], "strings_to_addresses() (in module ffsim)": [[0, "ffsim.strings_to_addresses", false]], "supportsapplyunitary (class in ffsim)": [[0, "ffsim.SupportsApplyUnitary", false]], "supportsapproximateequality (class in ffsim)": [[0, "ffsim.SupportsApproximateEquality", false]], "supportsdiagonal (class in ffsim)": [[0, "ffsim.SupportsDiagonal", false]], "supportsfermionoperator (class in ffsim)": [[0, "ffsim.SupportsFermionOperator", false]], "supportslinearoperator (class in ffsim)": [[0, "ffsim.SupportsLinearOperator", false]], "supportstrace (class in ffsim)": [[0, "ffsim.SupportsTrace", false]], "symmetry (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.symmetry", false]], "thetas (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.thetas", false]], "thetas (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.thetas", false]], "thetas (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.thetas", false]], "to_diag_coulomb_mats() (ffsim.numnumansatzopspinbalanced method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.to_diag_coulomb_mats", false]], "to_fcidump() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.to_fcidump", false]], "to_json() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.to_json", false]], "to_molecular_hamiltonian() (ffsim.doublefactorizedhamiltonian method)": [[0, "ffsim.DoubleFactorizedHamiltonian.to_molecular_hamiltonian", false]], "to_number_representation() (ffsim.doublefactorizedhamiltonian method)": [[0, "ffsim.DoubleFactorizedHamiltonian.to_number_representation", false]], "to_orbital_rotation() (ffsim.givensansatzop method)": [[0, "ffsim.GivensAnsatzOp.to_orbital_rotation", false]], "to_parameters() (ffsim.givensansatzop method)": [[0, "ffsim.GivensAnsatzOp.to_parameters", false]], "to_parameters() (ffsim.hopgateansatzoperator method)": [[0, "ffsim.HopGateAnsatzOperator.to_parameters", false]], "to_parameters() (ffsim.numnumansatzopspinbalanced method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.to_parameters", false]], "to_parameters() (ffsim.uccsdoprestrictedreal method)": [[0, "ffsim.UCCSDOpRestrictedReal.to_parameters", false]], "to_parameters() (ffsim.ucjopspinbalanced method)": [[0, "ffsim.UCJOpSpinBalanced.to_parameters", false]], "to_parameters() (ffsim.ucjopspinless method)": [[0, "ffsim.UCJOpSpinless.to_parameters", false]], "to_parameters() (ffsim.ucjopspinunbalanced method)": [[0, "ffsim.UCJOpSpinUnbalanced.to_parameters", false]], "to_z_representation() (ffsim.doublefactorizedhamiltonian method)": [[0, "ffsim.DoubleFactorizedHamiltonian.to_z_representation", false]], "trace() (in module ffsim)": [[0, "ffsim.trace", false]], "two_body_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.two_body_integrals", false]], "two_body_tensor (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.two_body_tensor", false]], "uccsdoprestrictedreal (class in ffsim)": [[0, "ffsim.UCCSDOpRestrictedReal", false]], "ucjopspinbalanced (class in ffsim)": [[0, "ffsim.UCJOpSpinBalanced", false]], "ucjopspinbalancedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.UCJOpSpinBalancedJW", false]], "ucjopspinless (class in ffsim)": [[0, "ffsim.UCJOpSpinless", false]], "ucjopspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.UCJOpSpinlessJW", false]], "ucjopspinunbalanced (class in ffsim)": [[0, "ffsim.UCJOpSpinUnbalanced", false]], "ucjopspinunbalancedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.UCJOpSpinUnbalancedJW", false]], "vec (ffsim.statevector attribute)": [[0, "ffsim.StateVector.vec", false]], "z_representation (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.z_representation", false]]}, "objects": {"": [[0, 0, 0, "-", "ffsim"]], "ffsim": [[0, 1, 1, "", "BitstringType"], [0, 1, 1, "", "DiagonalCoulombHamiltonian"], [0, 1, 1, "", "DoubleFactorizedHamiltonian"], [0, 1, 1, "", "FermionAction"], [0, 1, 1, "", "FermionOperator"], [0, 1, 1, "", "GivensAnsatzOp"], [0, 1, 1, "", "HopGateAnsatzOperator"], [0, 1, 1, "", "MolecularData"], [0, 1, 1, "", "MolecularHamiltonian"], [0, 1, 1, "", "NumNumAnsatzOpSpinBalanced"], [0, 1, 1, "", "ProductStateSum"], [0, 1, 1, "", "SingleFactorizedHamiltonian"], [0, 1, 1, "", "Spin"], [0, 1, 1, "", "StateVector"], [0, 1, 1, "", "SupportsApplyUnitary"], [0, 1, 1, "", "SupportsApproximateEquality"], [0, 1, 1, "", "SupportsDiagonal"], [0, 1, 1, "", "SupportsFermionOperator"], [0, 1, 1, "", "SupportsLinearOperator"], [0, 1, 1, "", "SupportsTrace"], [0, 1, 1, "", "UCCSDOpRestrictedReal"], [0, 1, 1, "", "UCJOpSpinBalanced"], [0, 1, 1, "", "UCJOpSpinUnbalanced"], [0, 1, 1, "", "UCJOpSpinless"], [0, 5, 1, "", "addresses_to_strings"], [0, 5, 1, "", "apply_diag_coulomb_evolution"], [0, 5, 1, "", "apply_fsim_gate"], [0, 5, 1, "", "apply_fswap_gate"], [0, 5, 1, "", "apply_givens_rotation"], [0, 5, 1, "", "apply_hop_gate"], [0, 5, 1, "", "apply_num_interaction"], [0, 5, 1, "", "apply_num_num_interaction"], [0, 5, 1, "", "apply_num_op_prod_interaction"], [0, 5, 1, "", "apply_num_op_sum_evolution"], [0, 5, 1, "", "apply_on_site_interaction"], [0, 5, 1, "", "apply_orbital_rotation"], [0, 5, 1, "", "apply_tunneling_interaction"], [0, 5, 1, "", "apply_unitary"], [0, 5, 1, "", "approx_eq"], [1, 0, 0, "-", "contract"], [0, 5, 1, "", "cre"], [0, 5, 1, "", "cre_a"], [0, 5, 1, "", "cre_b"], [0, 5, 1, "", "des"], [0, 5, 1, "", "des_a"], [0, 5, 1, "", "des_b"], [0, 5, 1, "", "diag"], [0, 5, 1, "", "dim"], [0, 5, 1, "", "dims"], [0, 5, 1, "", "expectation_one_body_power"], [0, 5, 1, "", "expectation_one_body_product"], [0, 5, 1, "", "fermi_hubbard_1d"], [0, 5, 1, "", "fermi_hubbard_2d"], [0, 5, 1, "", "fermion_operator"], [0, 5, 1, "", "hartree_fock_state"], [0, 5, 1, "", "init_cache"], [2, 0, 0, "-", "linalg"], [0, 5, 1, "", "linear_operator"], [0, 5, 1, "", "multireference_state"], [0, 5, 1, "", "multireference_state_prod"], [0, 5, 1, "", "number_operator"], [3, 0, 0, "-", "optimize"], [4, 0, 0, "-", "qiskit"], [5, 0, 0, "-", "random"], [0, 5, 1, "", "rdms"], [0, 5, 1, "", "sample_slater_determinant"], [0, 5, 1, "", "sample_state_vector"], [0, 5, 1, "", "simulate_qdrift_double_factorized"], [0, 5, 1, "", "simulate_trotter_diag_coulomb_split_op"], [0, 5, 1, "", "simulate_trotter_double_factorized"], [0, 5, 1, "", "slater_determinant"], [0, 5, 1, "", "slater_determinant_amplitudes"], [0, 5, 1, "", "slater_determinant_rdms"], [0, 5, 1, "", "spin_square"], [0, 5, 1, "", "strings_to_addresses"], [6, 0, 0, "-", "testing"], [0, 5, 1, "", "trace"]], "ffsim.BitstringType": [[0, 2, 1, "", "BIT_ARRAY"], [0, 2, 1, "", "INT"], [0, 2, 1, "", "STRING"]], "ffsim.DiagonalCoulombHamiltonian": [[0, 2, 1, "", "constant"], [0, 2, 1, "", "diag_coulomb_mats"], [0, 3, 1, "", "from_fermion_operator"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "one_body_tensor"]], "ffsim.DoubleFactorizedHamiltonian": [[0, 2, 1, "", "constant"], [0, 2, 1, "", "diag_coulomb_mats"], [0, 3, 1, "", "from_molecular_hamiltonian"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "one_body_tensor"], [0, 2, 1, "", "orbital_rotations"], [0, 3, 1, "", "to_molecular_hamiltonian"], [0, 3, 1, "", "to_number_representation"], [0, 3, 1, "", "to_z_representation"], [0, 2, 1, "", "z_representation"]], "ffsim.FermionAction": [[0, 2, 1, "", "action"], [0, 2, 1, "", "orb"], [0, 2, 1, "", "spin"]], "ffsim.FermionOperator": [[0, 3, 1, "", "conserves_particle_number"], [0, 3, 1, "", "conserves_spin_z"], [0, 3, 1, "", "many_body_order"], [0, 3, 1, "", "normal_ordered"]], "ffsim.GivensAnsatzOp": [[0, 3, 1, "", "from_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 2, 1, "", "interaction_pairs"], [0, 3, 1, "", "n_params"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "phase_angles"], [0, 2, 1, "", "phis"], [0, 2, 1, "", "thetas"], [0, 3, 1, "", "to_orbital_rotation"], [0, 3, 1, "", "to_parameters"]], "ffsim.HopGateAnsatzOperator": [[0, 2, 1, "", "final_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 2, 1, "", "interaction_pairs"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "thetas"], [0, 3, 1, "", "to_parameters"]], "ffsim.MolecularData": [[0, 2, 1, "", "active_space"], [0, 2, 1, "", "atom"], [0, 2, 1, "", "basis"], [0, 2, 1, "", "ccsd_energy"], [0, 2, 1, "", "ccsd_t1"], [0, 2, 1, "", "ccsd_t2"], [0, 2, 1, "", "cisd_energy"], [0, 2, 1, "", "cisd_vec"], [0, 2, 1, "", "core_energy"], [0, 2, 1, "", "dipole_integrals"], [0, 2, 1, "", "fci_energy"], [0, 2, 1, "", "fci_vec"], [0, 3, 1, "", "from_fcidump"], [0, 3, 1, "", "from_json"], [0, 3, 1, "", "from_scf"], [0, 4, 1, "", "hamiltonian"], [0, 2, 1, "", "hf_energy"], [0, 2, 1, "", "hf_mo_coeff"], [0, 2, 1, "", "hf_mo_occ"], [0, 2, 1, "", "mo_coeff"], [0, 2, 1, "", "mo_occ"], [0, 4, 1, "", "mole"], [0, 2, 1, "", "mp2_energy"], [0, 2, 1, "", "mp2_t2"], [0, 2, 1, "", "nelec"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "one_body_integrals"], [0, 2, 1, "", "orbital_symmetries"], [0, 3, 1, "", "run_ccsd"], [0, 3, 1, "", "run_cisd"], [0, 3, 1, "", "run_fci"], [0, 3, 1, "", "run_mp2"], [0, 3, 1, "", "run_sci"], [0, 4, 1, "", "scf"], [0, 2, 1, "", "sci_energy"], [0, 2, 1, "", "sci_vec"], [0, 2, 1, "", "spin"], [0, 2, 1, "", "symmetry"], [0, 3, 1, "", "to_fcidump"], [0, 3, 1, "", "to_json"], [0, 2, 1, "", "two_body_integrals"]], "ffsim.MolecularHamiltonian": [[0, 2, 1, "", "constant"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "one_body_tensor"], [0, 3, 1, "", "rotated"], [0, 2, 1, "", "two_body_tensor"]], "ffsim.NumNumAnsatzOpSpinBalanced": [[0, 3, 1, "", "from_diag_coulomb_mats"], [0, 3, 1, "", "from_parameters"], [0, 2, 1, "", "interaction_pairs"], [0, 3, 1, "", "n_params"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "thetas"], [0, 3, 1, "", "to_diag_coulomb_mats"], [0, 3, 1, "", "to_parameters"]], "ffsim.ProductStateSum": [[0, 2, 1, "", "coeffs"], [0, 2, 1, "", "states"]], "ffsim.SingleFactorizedHamiltonian": [[0, 2, 1, "", "constant"], [0, 3, 1, "", "expectation_product_state"], [0, 3, 1, "", "from_molecular_hamiltonian"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "one_body_squares"], [0, 2, 1, "", "one_body_tensor"], [0, 3, 1, "", "reduced_matrix_product_states"]], "ffsim.Spin": [[0, 2, 1, "", "ALPHA"], [0, 2, 1, "", "ALPHA_AND_BETA"], [0, 2, 1, "", "BETA"]], "ffsim.StateVector": [[0, 2, 1, "", "nelec"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "vec"]], "ffsim.UCCSDOpRestrictedReal": [[0, 3, 1, "", "from_parameters"], [0, 3, 1, "", "n_params"], [0, 4, 1, "", "norb"], [0, 3, 1, "", "to_parameters"]], "ffsim.UCJOpSpinBalanced": [[0, 2, 1, "", "diag_coulomb_mats"], [0, 2, 1, "", "final_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 3, 1, "", "from_t_amplitudes"], [0, 3, 1, "", "n_params"], [0, 4, 1, "", "n_reps"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "orbital_rotations"], [0, 3, 1, "", "to_parameters"]], "ffsim.UCJOpSpinUnbalanced": [[0, 2, 1, "", "diag_coulomb_mats"], [0, 2, 1, "", "final_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 3, 1, "", "from_t_amplitudes"], [0, 3, 1, "", "n_params"], [0, 4, 1, "", "n_reps"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "orbital_rotations"], [0, 3, 1, "", "to_parameters"]], "ffsim.UCJOpSpinless": [[0, 2, 1, "", "diag_coulomb_mats"], [0, 2, 1, "", "final_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 3, 1, "", "from_t_amplitudes"], [0, 3, 1, "", "n_params"], [0, 4, 1, "", "n_reps"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "orbital_rotations"], [0, 3, 1, "", "to_parameters"]], "ffsim.contract": [[1, 5, 1, "", "contract_diag_coulomb"], [1, 5, 1, "", "contract_num_op_sum"], [1, 5, 1, "", "contract_one_body"], [1, 5, 1, "", "diag_coulomb_linop"], [1, 5, 1, "", "num_op_sum_linop"], [1, 5, 1, "", "one_body_linop"]], "ffsim.linalg": [[2, 1, 1, "", "GivensRotation"], [2, 5, 1, "", "apply_matrix_to_slices"], [2, 5, 1, "", "double_factorized"], [2, 5, 1, "", "double_factorized_t2"], [2, 5, 1, "", "double_factorized_t2_alpha_beta"], [2, 5, 1, "", "expm_multiply_taylor"], [2, 5, 1, "", "givens_decomposition"], [2, 5, 1, "", "is_antihermitian"], [2, 5, 1, "", "is_hermitian"], [2, 5, 1, "", "is_orthogonal"], [2, 5, 1, "", "is_real_symmetric"], [2, 5, 1, "", "is_special_orthogonal"], [2, 5, 1, "", "is_unitary"], [2, 5, 1, "", "lup"], [2, 5, 1, "", "match_global_phase"], [2, 5, 1, "", "modified_cholesky"], [2, 5, 1, "", "one_hot"], [2, 5, 1, "", "reduced_matrix"]], "ffsim.linalg.GivensRotation": [[2, 2, 1, "", "c"], [2, 2, 1, "", "i"], [2, 2, 1, "", "j"], [2, 2, 1, "", "s"]], "ffsim.optimize": [[3, 5, 1, "", "minimize_linear_method"]], "ffsim.qiskit": [[4, 1, 1, "", "DiagCoulombEvolutionJW"], [4, 1, 1, "", "DiagCoulombEvolutionSpinlessJW"], [4, 1, 1, "", "DropNegligible"], [4, 1, 1, "", "FfsimSampler"], [4, 1, 1, "", "GivensAnsatzOpJW"], [4, 1, 1, "", "GivensAnsatzOpSpinlessJW"], [4, 1, 1, "", "MergeOrbitalRotations"], [4, 1, 1, "", "NumNumAnsatzOpSpinBalancedJW"], [4, 1, 1, "", "NumOpSumEvolutionJW"], [4, 1, 1, "", "NumOpSumEvolutionSpinlessJW"], [4, 1, 1, "", "OrbitalRotationJW"], [4, 1, 1, "", "OrbitalRotationSpinlessJW"], [4, 6, 1, "", "PRE_INIT"], [4, 1, 1, "", "PrepareHartreeFockJW"], [4, 1, 1, "", "PrepareHartreeFockSpinlessJW"], [4, 1, 1, "", "PrepareSlaterDeterminantJW"], [4, 1, 1, "", "PrepareSlaterDeterminantSpinlessJW"], [4, 1, 1, "", "SimulateTrotterDiagCoulombSplitOpJW"], [4, 1, 1, "", "SimulateTrotterDoubleFactorizedJW"], [4, 1, 1, "", "UCJOpSpinBalancedJW"], [4, 1, 1, "", "UCJOpSpinUnbalancedJW"], [4, 1, 1, "", "UCJOpSpinlessJW"], [4, 5, 1, "", "ffsim_vec_to_qiskit_vec"], [4, 5, 1, "", "final_state_vector"], [4, 5, 1, "", "jordan_wigner"], [4, 5, 1, "", "pre_init_passes"], [4, 5, 1, "", "qiskit_vec_to_ffsim_vec"]], "ffsim.qiskit.DiagCoulombEvolutionJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.DropNegligible": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "run"]], "ffsim.qiskit.FfsimSampler": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "run"]], "ffsim.qiskit.GivensAnsatzOpJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.GivensAnsatzOpSpinlessJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.MergeOrbitalRotations": [[4, 3, 1, "", "run"]], "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.NumOpSumEvolutionJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.NumOpSumEvolutionSpinlessJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.OrbitalRotationJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.OrbitalRotationSpinlessJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.PrepareHartreeFockJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.PrepareHartreeFockSpinlessJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.PrepareSlaterDeterminantJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.UCJOpSpinBalancedJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.UCJOpSpinUnbalancedJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.UCJOpSpinlessJW": [[4, 3, 1, "", "__init__"]], "ffsim.random": [[5, 5, 1, "", "random_antihermitian"], [5, 5, 1, "", "random_diagonal_coulomb_hamiltonian"], [5, 5, 1, "", "random_double_factorized_hamiltonian"], [5, 5, 1, "", "random_fermion_hamiltonian"], [5, 5, 1, "", "random_fermion_operator"], [5, 5, 1, "", "random_hermitian"], [5, 5, 1, "", "random_molecular_hamiltonian"], [5, 5, 1, "", "random_orthogonal"], [5, 5, 1, "", "random_real_symmetric_matrix"], [5, 5, 1, "", "random_special_orthogonal"], [5, 5, 1, "", "random_state_vector"], [5, 5, 1, "", "random_t2_amplitudes"], [5, 5, 1, "", "random_two_body_tensor"], [5, 5, 1, "", "random_uccsd_restricted"], [5, 5, 1, "", "random_ucj_op_spin_balanced"], [5, 5, 1, "", "random_ucj_op_spin_unbalanced"], [5, 5, 1, "", "random_ucj_op_spinless"], [5, 5, 1, "", "random_unitary"]], "ffsim.testing": [[6, 5, 1, "", "assert_allclose_up_to_global_phase"], [6, 5, 1, "", "generate_norb_nelec"], [6, 5, 1, "", "generate_norb_nelec_spin"], [6, 5, 1, "", "generate_norb_nocc"], [6, 5, 1, "", "generate_norb_spin"], [6, 5, 1, "", "random_nelec"], [6, 5, 1, "", "random_occupied_orbitals"]]}, "objnames": {"0": ["py", "module", "Python module"], "1": ["py", "class", "Python class"], "2": ["py", "attribute", "Python attribute"], "3": ["py", "method", "Python method"], "4": ["py", "property", "Python property"], "5": ["py", "function", "Python function"], "6": ["py", "data", "Python data"]}, "objtypes": {"0": "py:module", "1": "py:class", "2": "py:attribute", "3": "py:method", "4": "py:property", "5": "py:function", "6": "py:data"}, "terms": {"": [0, 2, 4, 8, 9, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23], "0": [0, 2, 3, 4, 6, 8, 9, 11, 13, 14, 15, 16, 18, 19, 20, 21, 23], "00": 18, "000": 20, "0000000": [15, 18], "0000000000011100000000000111": 20, "0000000000011100000000011100": 20, "0000000000011100100000001100": 20, "0000000000110100000000001101": 20, "0000000001011000000000010110": 20, "0000000001011000100000000110": 20, "0000000001110000000000000111": 20, "0000000111100000011111": 20, "0000000111100110000111": 20, "0000010101100001011011": 20, "0000010110100001011011": 20, "0000100101100000111011": 20, "0000100110100000111011": 20, "0000111100001111": 20, "0000111100011011": 20, "0000111100011101": 20, "0000111100101011": 20, "0001": 3, "0001000001010000000000000111": 20, "0001110100001111": 20, "0010000000011000000000010110": 20, "0010011100101101": 20, "0010101100001111": 20, "0010101100101101": 20, "001011": [0, 14], "0010110100100111": 20, "0010110100101011": 20, "001101": [0, 14], "001110": 14, "0016370665470034896": 18, "0025217349578626033": 18, "0025222760278943114": 18, "0032271540206360518": 18, "005e": 15, "01": [15, 18], "0100000000100100000000000111": 20, "0100000110100100001111": 20, "010011": [0, 14], "0101": 0, "0101000001100000011111": 20, "010101": [0, 14], "010110": [0, 14], "0110": 0, "02": [15, 18], "02122442107773": 18, "02242": 2, "02459434j": 14, "02625": 2, "02998708j": 14, "03": 15, "03101213j": 14, "03525116j": 14, "036685417309836654": 23, "04": [15, 18], "047583238865859": 18, "05": [0, 2, 3, 4, 18], "05395": 4, "053e": 18, "06": 18, "0609050": 5, "0625": [0, 16], "06273307": 14, "06551571": 14, "06677383j": 14, "06844774j": 14, "06985559j": 16, "07": [6, 18], "08": [0, 2, 3, 4, 18], "08957": 2, "09723851": 14, "0b001011": 0, "0b010101": 0, "0b010110": 0, "0b100101": 0, "0b100110": 0, "0j": 16, "0x7f52d66026e0": 19, "0x7f52d6603340": 19, "0x7f52d6d47ee0": 19, "0x7f52d6d6df30": 19, "0x7f52d6d6fdc0": 19, "0x7f52d6e78100": 19, "0x7f52d6e79180": 19, "0x7f52d6e7a410": 19, "1": [0, 2, 3, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23], "10": [13, 18, 19, 20, 23], "100": 15, "1000": 3, "1000000101100000111011": 20, "100011": [0, 14], "100101": [0, 14], "100110": [0, 14], "101": 20, "1024": 4, "104": [15, 21], "105e": 18, "1077416823065346": 20, "108": [20, 23], "10_000": 20, "11": [0, 13, 19, 20, 23], "1102529j": 14, "11157654": 14, "112": 15, "12": [2, 13, 15, 16, 18, 23], "1207": 0, "12204343": 14, "1234": [9, 13, 14, 15, 19, 21], "12345": 20, "125": [0, 16], "1278053627110062": 20, "1294": [15, 18], "129e": 18, "12j": 16, "13": [0, 13, 18, 23], "13113848": 14, "133": 20, "13327423j": 14, "13957088j": 14, "14": [13, 20], "14864815": 16, "15": [13, 15], "151e": 15, "152e": 18, "153e": 18, "1561685j": 14, "15624569": 14, "15828306": 14, "15x15": 15, "16": [13, 20], "17": 13, "1711": [2, 4], "17181289596": 21, "17276745j": 14, "174e": 15, "17558331": 14, "18": 13, "180": 15, "18007105": 14, "1808": 2, "18j": 16, "19": 0, "1e": [0, 2, 3, 4, 6, 15, 23], "1j": [0, 9, 16, 23], "2": [0, 1, 2, 4, 5, 8, 9, 11, 13, 14, 15, 16, 18, 19, 20, 23], "20835741": 14, "20881506": 14, "21": 0, "210": 20, "2104": 2, "2190712273": 9, "21928194": 14, "21984743e": 16, "22392824": 14, "23": 15, "231e": 18, "23550198": 14, "23611476": 14, "24": [13, 19], "25": [0, 16], "25j": [0, 16], "26": 23, "26121865": 14, "287e": 18, "29821173j": 14, "2d": 0, "2j": [0, 2, 16], "2n": 14, "3": [0, 2, 5, 9, 11, 13, 14, 15, 16, 18, 19, 20, 23], "30052742j": 14, "31980058j": 14, "31g": [20, 21], "32": [13, 19], "329": 18, "33731417j": 14, "339": 18, "3484557086637": 20, "35": [0, 23], "360": 18, "36730125j": 14, "3714141": 14, "38435478j": 14, "39": [13, 14, 15, 16, 18, 19, 20], "39075171": 14, "3j": 16, "4": [0, 2, 8, 9, 13, 14, 15, 16, 18, 19, 20, 21, 23], "400e": 15, "404e": 18, "411e": 18, "416e": 15, "421e": 18, "426e": 18, "4390672": 14, "45619739097027": 20, "46": 18, "464957764796": 23, "46x46": 18, "47": 20, "478": 15, "48": [13, 20], "49094286j": 14, "4j": 16, "5": [0, 3, 9, 13, 14, 15, 16, 18, 19, 20, 23], "51253171j": 14, "512e": 18, "518e": 18, "527e": 18, "542e": 18, "544": 18, "554e": 18, "5571707255154": 9, "558e": 18, "56": [13, 19, 20], "561e": 18, "5626": 18, "57": 20, "58888": 22, "5j": [0, 16], "6": [0, 9, 13, 14, 15, 16, 18, 19, 20, 21, 23], "603e": 15, "6083": 0, "6332495815006": 15, "64": 14, "65": 20, "66": 20, "67794403659725": 15, "6787887956297": 15, "6787887956314": 15, "6838156986605": 15, "684e": 18, "6g": [0, 15, 18, 23], "6j": 16, "7": [0, 9, 13, 14, 15, 16, 18, 19, 23], "70": 20, "710324954165145e": 18, "72": 18, "7288249991515": 15, "72x72": 18, "73105542j": 14, "748e": 15, "75": [15, 20], "758e": 15, "77": 18, "8": [0, 13, 15, 16, 18, 19, 20, 23], "8266321248744": 18, "8336260919499114e": 18, "835236570774": 20, "842e": 18, "8716002481628": 18, "87363062143118": 18, "87363426389763": 18, "87363431675553": 18, "87363432086376": 18, "87387392331689": 18, "87421536374029": 18, "8742165643862": 18, "9": [13, 14, 16, 19, 23], "9289": 18, "940243538754112": 23, "949": 18, "958": 15, "9630419334854": 20, "99": 9, "9924": 20, "9985212861539393": 23, "9985212861539957": 23, "9991": 20, "9996731164192681": 23, "9997506593747205": 18, "9997506618976828": 18, "9997509026686763": 18, "A": [0, 1, 2, 3, 4, 5, 6, 8, 12, 13, 14, 16, 22, 23], "AND": 15, "As": [11, 13, 14, 18, 19, 23], "By": 21, "For": [0, 3, 4, 5, 8, 9, 11, 14, 15, 16, 22, 23], "If": [0, 1, 2, 3, 4, 5, 6, 13, 16], "In": [0, 8, 9, 11, 13, 14, 15, 16, 18, 19, 20, 23], "It": [0, 2, 3, 4, 13, 14, 16, 18, 20, 22], "Its": [3, 4], "NO": [15, 18], "No": 2, "Of": 11, "On": [14, 22], "One": [0, 23], "Such": 16, "That": [0, 3, 12, 16], "The": [0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23], "Their": 19, "Then": [0, 13], "There": 13, "These": [0, 5, 11, 16, 19], "To": [0, 8, 9, 11, 14, 18, 23], "With": [11, 14, 23], "_": [0, 1, 2, 4, 8, 11, 12, 15, 23], "_1": 12, "_2": 12, "__init__": 4, "_factr": 18, "_i": [0, 4], "_k": [0, 8, 11], "_nestedsequ": 4, "_supportsarrai": 4, "a_": [0, 4, 8, 9, 12, 16], "a_j": 1, "a_p": 0, "a_q": 0, "ab": [0, 23], "abil": 8, "abl": 22, "about": 21, "abov": [13, 16], "absenc": [0, 1, 4], "absolut": [0, 2, 4, 6], "acceler": 22, "accept": [12, 18], "access": [0, 9, 22], "accommod": 4, "accomod": 8, "accur": 8, "achiev": [2, 23], "across": 22, "act": [0, 2, 4, 9, 13, 15, 16], "action": [0, 1, 12, 16, 22, 23], "activ": [0, 15, 18, 20, 23], "active_spac": [0, 15, 18, 20, 21, 23], "actual": [6, 11], "ad": [0, 13, 18], "add": [13, 18], "addit": [0, 8, 16, 23], "addition": 2, "address": [0, 13], "addresses_to_str": [0, 7, 14], "adjac": 13, "advantag": 18, "after": [3, 18], "al": 2, "algebra": [2, 9, 16], "algorithm": [0, 2, 3, 18, 21], "alia": [0, 2], "align": [0, 11, 12], "all": [0, 1, 2, 3, 4, 6, 11, 13, 16, 20, 22], "alloc": 0, "allow": [0, 2, 5, 11, 13, 18, 22, 23], "along": 0, "alpha": [0, 1, 2, 4, 5, 6, 9, 11, 13, 14, 15, 16, 19, 20], "alpha_and_beta": 0, "alpha_i": 0, "alpha_j": 0, "alreadi": [0, 4, 12], "also": [0, 2, 3, 5, 9, 12, 14, 16, 18, 23], "altern": [0, 8], "alwai": [0, 2, 5, 12, 14, 23], "amen": 13, "amplitud": [0, 2, 5, 18, 20], "an": [0, 1, 2, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 21, 23], "angl": 0, "ani": [0, 3, 4, 5, 11, 12, 19, 20], "annihil": [0, 16], "anoth": [2, 6], "ansatz": [0, 3, 4, 5, 10, 13, 17, 19, 20, 21], "ansatz_oper": 0, "ansatz_st": 18, "anti": [2, 5], "anticommut": 12, "ao": 0, "ap": 2, "api": [14, 21], "appear": [0, 2, 13, 16, 20], "append": [0, 6, 13, 18, 19, 20], "appli": [0, 1, 2, 3, 4, 9, 11, 12, 13, 14, 18, 19, 20, 21, 23], "applic": 12, "apply_": 14, "apply_diag_coulomb_evolut": [0, 7, 8, 23], "apply_fsim_g": [0, 7], "apply_fswap_g": [0, 7], "apply_givens_rot": [0, 7], "apply_hop_g": [0, 7], "apply_matrix_to_slic": [2, 7], "apply_num_interact": [0, 7], "apply_num_num_interact": [0, 7], "apply_num_op_prod_interact": [0, 7], "apply_num_op_sum_evolut": [0, 7, 12, 23], "apply_on_site_interact": [0, 7, 14], "apply_orbital_rot": [0, 7, 12, 14, 21], "apply_quad_ham_evolut": 12, "apply_tunneling_interact": [0, 7, 14], "apply_unitari": [0, 7, 18], "appropri": [0, 11], "approx": 8, "approx_eq": [0, 7], "approxim": [0, 2, 3, 8, 18, 23], "apt": 22, "ar": [0, 1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 14, 16, 19, 20, 22], "arbitrari": [4, 20], "arch": 22, "arg": [0, 4], "argument": [0, 2, 3, 8, 9, 12, 14, 23], "aris": 8, "arithmet": 16, "around": 23, "arrai": [0, 1, 2, 4, 6, 9, 11, 14, 16], "arxiv": [0, 2, 4, 5], "ascend": 20, "assembl": 2, "assert": 14, "assert_allclose_up_to_global_phas": [6, 7], "assertionerror": 6, "associ": [0, 3, 14, 16, 18], "assum": [0, 4, 14], "asterisk": 0, "asymmetr": 8, "atol": [0, 2, 4, 6], "atom": [0, 15, 18, 20, 21, 23], "attempt": 2, "attribut": [0, 3, 9, 15, 18, 20], "author": 21, "auto": 0, "avail": [9, 19, 22], "avoid": [0, 9, 16], "awar": 16, "ax": [0, 2], "axi": [0, 2], "b": [0, 2, 3, 6, 12, 15, 18], "back": 4, "backend": [13, 19], "backflow": 3, "background": 23, "balanc": [0, 4, 5, 18, 20], "barrier": 20, "base": [0, 2, 4], "basepass": 4, "basesamplerv2": 4, "basi": [0, 2, 4, 12, 15, 18, 20, 21, 23], "basic": [9, 13], "basis_g": [13, 19], "bear": 23, "becaus": [0, 2, 8, 9, 13, 15, 16, 18], "been": [0, 8], "befor": [0, 13, 16, 22, 23], "begin": [0, 2, 11, 12, 14, 20, 23], "behavior": [2, 4, 5, 19], "being": [2, 16, 18], "below": [0, 18, 23], "benchmark": 0, "beta": [0, 1, 2, 4, 5, 6, 9, 11, 13, 14, 15, 16, 19, 20], "beta_i": 0, "beta_j": 0, "better": 8, "between": [0, 1, 2, 3, 11, 13], "bfg": [0, 2, 3, 15, 18], "bibtex": 21, "bit": [0, 13, 14], "bit_arrai": 0, "bitstr": [0, 14, 20], "bitstring_typ": [0, 14], "bitstringtyp": [0, 7, 14], "bla": 22, "bloc": 20, "block": 2, "block_diag": [0, 2], "bmod": 0, "bodi": [0, 1, 2, 5, 8, 9, 18, 23], "bond": 15, "bond_angle_deg": 15, "bond_dist": 18, "bool": [0, 1, 2, 3, 4, 5, 6], "both": [0, 1, 2, 4, 11, 15], "bound": [0, 2], "boundari": 0, "box": 13, "bq": 2, "bracket": 0, "braket": 0, "branch": 21, "brickwork": 15, "browser": 22, "buffer": 4, "build": [13, 17, 18, 20, 21, 22], "built": [19, 20, 23], "byte": [0, 4], "bz2": 0, "c": [2, 18], "c2v": 15, "cach": 0, "calcul": [0, 14, 18], "call": [0, 3, 8, 9, 12, 14, 16, 18, 20, 23], "callabl": [3, 18], "callback": [0, 2, 3, 18], "can": [0, 1, 2, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 21, 22, 23], "cannot": 20, "canon": 0, "casci": [15, 18], "case": [0, 6, 13, 15], "categori": 21, "caus": 0, "cc": [18, 20], "ccsd": [0, 18, 20], "ccsd_energi": 0, "ccsd_t1": 0, "ccsd_t2": 0, "cd": 22, "cdot": 2, "cell": [9, 13, 14, 18, 19, 20, 23], "certain": [2, 13], "challeng": 11, "character": 0, "check": [2, 4, 6], "chemcor": 23, "chemic": 0, "chemical_potenti": 0, "chemistri": 21, "choic": [0, 6, 13, 14], "choleski": [0, 2], "choos": [2, 14], "chosen": 0, "ci": [15, 18], "circuit": [0, 4, 8, 13, 14, 17, 21], "circul": 0, "cisd": 0, "cisd_energi": 0, "cisd_vec": 0, "class": [0, 2, 4, 5, 9, 11, 15, 17, 18, 20, 21, 23], "clement": 2, "clone": 22, "close": [11, 18], "cluster": [0, 4, 5, 10, 17, 21], "co": [0, 15], "code": [4, 9, 13, 14, 16, 18, 19, 20, 23], "coeff": [0, 1, 4, 13, 19], "coeffici": [0, 1, 2, 4, 12, 16], "collect": [0, 2, 4, 18], "column": [0, 2, 12, 14], "com": [21, 22], "comb": 4, "combin": [0, 1, 4, 12, 13, 16], "command": 22, "commonli": [8, 20], "commun": [21, 22], "commut": 8, "compact": [8, 23], "compar": [0, 6, 23], "compil": 22, "complet": 0, "complex": [0, 1, 2, 4, 5, 9], "compon": [0, 16, 21], "compos": [4, 22], "compress": [0, 2], "compris": [0, 16], "comput": [0, 2, 4, 9, 12, 18, 21, 23], "concaten": [0, 14], "concret": 9, "condit": 0, "configur": [0, 4, 13, 14, 22], "conflict": 6, "conj": [2, 12, 20], "conjug": 2, "connect": [0, 11, 13], "consecut": [4, 20], "conserv": [0, 5, 16, 21], "conserves_particle_numb": [0, 16], "conserves_spin_z": [0, 16], "consid": [11, 12, 13], "consist": [0, 9, 13], "constant": [0, 5, 8, 9, 11, 13, 19], "constrain": 2, "constraint": [11, 18], "construct": [0, 1, 3, 4, 13, 14, 15, 16, 18, 19, 20, 23], "contain": [0, 2, 3, 5, 13, 16, 20, 21, 22], "contract": [2, 7, 21], "contract_diag_coulomb": [1, 7], "contract_num_op_sum": [1, 7], "contract_one_bodi": [1, 7], "contrast": 14, "control": [3, 13], "conveni": 14, "convent": 0, "converg": [3, 15, 18, 20, 23], "convers": [11, 18], "convert": [0, 1, 4, 14, 16, 18, 20, 21, 23], "coordin": 0, "coov": 20, "copi": [0, 16], "core": 0, "core_energi": 0, "correl": 3, "correspond": [0, 2, 3, 4, 8, 12, 13, 14, 18], "cost": 0, "coulomb": [0, 1, 2, 4, 5, 8, 11, 23], "count": [0, 13, 20], "count_op": [13, 19], "coupl": 0, "cours": 11, "cp": [13, 19], "cphaseg": 13, "cre": [0, 7], "cre_a": [0, 7, 16], "cre_b": [0, 7, 16], "creat": [0, 4, 13, 14, 16, 19, 20, 21, 23], "creation": [0, 4, 12, 16], "criteria": 16, "current": [0, 2, 18], "d": [2, 22], "d2h": 18, "dag": 4, "dagcircuit": 4, "dagger": [0, 1, 2, 8, 11, 12, 16], "dagger_": [0, 4, 8, 9, 12], "dagger_i": 1, "dagger_p": 0, "dagger_q": 0, "data": [0, 5, 13, 15, 16, 18, 20, 21, 23], "daunt": 8, "de": [0, 7], "decompos": [2, 4, 8, 13, 19], "decomposit": [0, 2, 4, 8, 10, 19, 21, 23], "decreas": [0, 18], "def": [2, 12, 15, 18, 23], "default": [0, 2, 3, 4, 5, 8, 9, 23], "default_rng": [0, 4, 5, 6, 9, 13, 15, 19, 20], "default_shot": [4, 20], "defaultdict": 18, "defin": [0, 2, 13, 15, 18, 20, 23], "definit": [0, 2, 3, 14], "demonstr": [14, 18, 20], "denot": [0, 1, 2, 4, 12], "dens": 15, "densiti": 0, "depend": [0, 2, 3, 22, 23], "depolar": 4, "depth": 11, "deriv": 8, "des_a": [0, 7, 16], "des_b": [0, 7, 16], "descend": [0, 16], "describ": [0, 1, 2, 8, 11, 12, 13, 16, 23], "descript": [0, 4], "design": [0, 2, 12], "desir": [0, 2, 5, 6], "destroi": [0, 16], "detail": [13, 19], "determin": [0, 2, 4, 14], "determinant": 0, "dev": 22, "devel": 22, "develop": [4, 21], "devic": [13, 19], "df_hamiltonian": [13, 19, 23], "df_hamiltonian_alt": 23, "diag": [0, 7], "diag_coulomb_indic": [0, 2], "diag_coulomb_jw": 13, "diag_coulomb_linop": [1, 7], "diag_coulomb_mat": [0, 2, 13, 19, 20, 23], "diagcoulombevolutionjw": [4, 7, 13, 19, 20], "diagcoulombevolutionspinlessjw": [4, 7], "diagon": [0, 1, 2, 4, 5, 8, 11, 23], "diagonal_coulomb_mat": 2, "diagonalcoulombhamiltonian": [0, 4, 5, 7], "dict": [0, 2, 3, 15, 18], "dictionari": [0, 16], "did": 0, "differ": [0, 1, 2, 3, 9, 11, 13, 18, 22, 23], "dim": [0, 5, 7, 14, 16], "dim_a": [0, 14], "dim_b": [0, 14], "dimens": [0, 2, 5, 14], "dimension": [0, 2, 4, 14], "dipol": 0, "dipole_integr": 0, "direct": [0, 23], "directli": [13, 18, 22, 23], "directori": 22, "discuss": [8, 12, 13], "disjoint": 2, "disk": 0, "displai": [13, 16, 20], "distinguish": 14, "distribut": [4, 5], "divid": 8, "divis": [0, 16], "dnf": 22, "do": [8, 13, 16], "doc": [15, 18, 21], "docker": 21, "dockerfil": 22, "document": [0, 2], "doe": [0, 4, 16, 18, 20], "don": 11, "dooh": [20, 21, 23], "dot": 0, "doubl": [0, 2, 4, 5, 10, 21, 24], "double_factor": [0, 2, 7], "double_factorized_t2": [2, 7], "double_factorized_t2_alpha_beta": [2, 7], "doublefactorizedhamiltonian": [0, 4, 5, 7, 23], "down": 14, "draw": [13, 19], "drop": [4, 15, 18], "dropneglig": [4, 7], "dtype": [2, 4, 5, 9, 15, 18], "due": 20, "dump": [15, 18], "duplic": 0, "dure": 4, "e": [0, 2, 4, 8, 9, 11, 15, 16, 18, 20], "e_corr": [18, 20], "each": [0, 2, 3, 4, 5, 8, 11, 14, 16, 18, 22, 23], "edg": 0, "effect": [0, 4, 13], "effici": [8, 13, 16], "eig": [9, 16], "eigendecomposit": 12, "eigenvalu": [0, 2, 3, 9], "eigenvector": [0, 2], "eigh": [12, 23], "eigsh": 9, "einsum": 23, "either": [0, 1, 2, 4, 5, 6, 11], "electon": 4, "electron": [0, 1, 4, 5, 9, 13, 14, 15, 19, 20, 23], "element": [0, 1, 2, 4, 20, 23], "ell": 2, "els": [0, 5, 14], "elsewher": 0, "enabl": 2, "encount": 20, "end": [0, 2, 11, 12, 20, 23], "energi": [0, 3, 9, 12, 18, 20, 21, 23], "energy_nuc": [15, 18], "enough": 4, "ensur": 9, "entangl": [0, 17, 21], "entir": [2, 8], "entri": [0, 2, 4, 5, 11, 14, 23], "enum": 0, "enumer": [0, 18], "environ": 22, "epsilon": 3, "epsmch": 18, "equal": [0, 2, 6, 13], "equal_nan": 6, "equilibrium": 15, "equival": [0, 4], "err_msg": 6, "error": [0, 2, 4, 6, 23], "especi": 16, "estim": 9, "et": 2, "etc": 0, "ethen": 18, "evalu": [3, 15], "even": 13, "everi": 12, "everywher": 14, "evolut": [0, 4, 9, 23], "evolv": [0, 23], "evolved_vec": 9, "evolved_vec_2": 9, "exact": [2, 8, 9, 23], "exact_st": 23, "exampl": [0, 4, 9, 11, 13, 14, 15, 16, 18, 19, 22], "exce": [2, 15, 23], "except": [2, 3], "excit": 13, "exist": [2, 4], "exp": [0, 2, 4, 6], "expand": 0, "expanded_diag_coulomb_mat": 2, "expanded_orbital_rot": 2, "expans": [2, 3], "expect": [0, 3], "expectation_one_body_pow": [0, 7], "expectation_one_body_product": [0, 7], "expectation_product_st": 0, "expens": [0, 2], "explain": [9, 11, 13, 14, 18, 23], "explan": [0, 19, 21], "explicit": 0, "explicitli": 0, "exploit": 21, "expm": 2, "expm_multipli": [9, 23], "expm_multiply_taylor": [2, 7], "exponenti": [8, 9, 23], "expos": [4, 13], "express": [11, 14, 23], "extra": 8, "extract": 20, "f": [3, 14, 15, 18, 20, 23], "facilit": 11, "fact": 15, "factor": [0, 2, 4, 5, 10, 21, 24], "failur": 6, "fake_provid": [13, 19], "fals": [0, 1, 2, 4, 5, 15, 16, 18], "far": 16, "fast": 0, "faster": [18, 21], "fault": 11, "fci": [0, 14, 15, 18], "fci_energi": 0, "fci_vec": 0, "fcidump": 0, "fcivec": 0, "fedora": 22, "feenberg": 3, "fermi": 0, "fermi_hubbard_1d": [0, 7], "fermi_hubbard_2d": [0, 7], "fermion": [0, 4, 5, 6, 8, 10, 11, 12, 16, 19, 20, 21], "fermion_oper": [0, 7], "fermionact": [0, 7], "fermionoper": [0, 4, 5, 7, 17, 21], "few": [14, 22], "fewer": [13, 19, 23], "ffsim": [7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23], "ffsim_vec_to_qiskit_vec": [4, 7], "ffsimsampl": [4, 7], "fidel": 23, "field": [0, 2], "fifth": 13, "file": [0, 22], "filter": 0, "final": [0, 3, 4, 5, 13, 19, 23], "final_orbital_rot": 0, "final_st": [18, 23], "final_state_vector": [4, 7], "finish": 23, "finit": 3, "first": [0, 2, 4, 8, 13, 14, 18, 20, 23], "fix": 14, "flag": 0, "float": [0, 2, 3, 4, 5, 6, 9, 12, 23], "float64": [9, 15, 18], "fock": [0, 4, 11, 14, 18, 21, 23], "focu": 9, "follow": [0, 2, 3, 4, 9, 11, 12, 13, 14, 16, 18, 19, 20, 21, 22, 23], "foot": 0, "forg": [0, 17, 21], "form": [0, 1, 2, 4, 5, 8, 9, 11, 12, 16, 20, 23], "format": [0, 4], "formula": [0, 23], "fourth": [8, 13], "frac": [0, 2], "frac12": [0, 8, 9, 11], "frac18": 0, "framework": 22, "from": [0, 2, 4, 5, 6, 8, 11, 12, 13, 14, 15, 16, 18, 19, 21, 23], "from_diag_coulomb_mat": 0, "from_fcidump": 0, "from_fermion_oper": 0, "from_json": 0, "from_molecular_hamiltonian": [0, 23], "from_orbital_rot": 0, "from_paramet": [0, 13, 18], "from_scf": [0, 15, 18, 20, 21, 23], "from_t_amplitud": [0, 18, 20], "frozen": [18, 20], "fsim": 0, "fswap": 0, "ftol": [3, 18], "full": [0, 2, 13, 14, 15], "fulli": 9, "fun": [3, 15, 18], "function": [0, 1, 2, 3, 8, 9, 12, 14, 15, 16, 18, 19, 23], "fundament": 12, "further": [13, 14], "furthermor": [0, 2], "g": [0, 4, 15], "g_": 2, "g_1": 2, "g_i": 3, "g_k": 2, "g_l": 2, "gate": [0, 4, 10, 11, 15, 20, 21], "gener": [0, 3, 4, 5, 6, 8, 13, 14, 15, 19, 20, 21], "generate_norb_nelec": [6, 7], "generate_norb_nelec_spin": [6, 7], "generate_norb_nocc": [6, 7], "generate_norb_spin": [6, 7], "generate_preset_pass_manag": [13, 19], "genericbackendv2": [13, 19], "get": [0, 14, 15, 18, 20, 21, 23], "get_count": 20, "get_hcor": [15, 18], "get_ovlp": [15, 18], "git": 22, "github": [21, 22], "give": [0, 2, 8, 14, 19], "given": [0, 2, 4, 6, 8, 12], "givens_ansatz_op": 4, "givens_decomposit": [2, 7], "givensansatzop": [0, 4, 7], "givensansatzopjw": [4, 7], "givensansatzopspinlessjw": [4, 7], "givensrot": [2, 7], "global": [4, 6], "global_depolar": 4, "go": [0, 13, 16], "good": 16, "gradient": [2, 3, 18], "greater": 3, "ground": [9, 18], "gt": [15, 18, 19, 20], "gto": [15, 18, 20, 21, 23], "gtol": 3, "guarante": [4, 19], "guess": [3, 18], "guid": [11, 15, 18, 19, 20, 21], "gzip": 0, "h": [0, 8, 9, 15, 18, 20, 23], "h1_x": 15, "h2_x": 15, "h2_y": 15, "h_": [0, 2, 8, 9], "h_0": [8, 23], "h_k": [8, 23], "ha": [0, 1, 2, 4, 8, 11, 12, 13, 14, 18], "haar": 5, "ham": 14, "hamiltonian": [0, 3, 4, 5, 10, 15, 18, 20, 21, 24], "hand": 14, "handl": [20, 23], "happen": 13, "hardwar": 13, "hartre": [0, 4, 11, 14, 18, 21, 23], "hartree_fock": 0, "hartree_fock_jw": 13, "hartree_fock_st": [0, 7, 9, 14, 18, 21, 23], "hasattr": 18, "hash": 16, "have": [0, 2, 8, 9, 11, 12, 13, 14, 16, 18, 20, 22], "height": 5, "helper": 16, "here": [0, 2, 8, 12, 13, 15, 23], "hermitian": [0, 2, 5, 12], "hess_inv": [15, 18], "hf": [15, 18], "hf_energi": 0, "hf_mo_coeff": 0, "hf_mo_occ": 0, "high": 13, "higher": [0, 8, 23], "ho": 20, "hold": [0, 3], "home": [15, 18, 22], "hop": [0, 15], "hopgateansatzoper": [0, 7, 15], "hot": 2, "how": [0, 8, 9, 11, 12, 13, 14, 21, 23], "howev": [8, 13, 21], "http": [0, 21, 22], "hubbard": 0, "hydroxyl": 20, "hyperparamet": [3, 18], "i": [0, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23], "idea": 11, "ident": 0, "ignor": [0, 2, 8], "ij": [0, 1, 2, 4, 8, 11, 12], "ijab": 2, "ik": 12, "imag": 22, "implement": [0, 1, 3, 4, 8, 9, 11, 12, 13, 15, 18, 20, 21, 22, 24], "import": [0, 9, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23], "impos": [11, 18], "improv": [3, 23], "includ": [0, 2, 4, 5, 8, 9, 12, 13, 14, 15, 18, 19, 21, 22], "incorpor": 0, "increas": [0, 14, 23], "increment": 3, "incur": 3, "independ": [0, 1, 4, 15], "index": [0, 2, 11, 14, 16], "indic": [0, 1, 2, 4, 5, 11, 14, 16], "individu": [8, 14, 16], "info": 18, "inform": [0, 9, 16, 18, 21, 23], "init_cach": [0, 7], "initi": [0, 3, 4, 5, 6, 9, 11, 13, 18, 19, 20, 23], "initial_st": 23, "initiali": 15, "input": [0, 1, 3, 4, 5, 6, 18, 20], "insert": 13, "instanc": [5, 9, 23], "instead": [0, 2, 4, 18, 23], "instruct": [21, 22], "instructionset": 19, "int": [0, 1, 2, 3, 4, 5, 6, 12, 15, 23], "integ": [0, 2, 4, 5, 6, 14], "integr": [0, 4], "interact": [0, 1, 2, 4, 5, 11, 13, 18, 20], "interaction_pair": [0, 5, 13, 15, 18, 20], "interfac": [18, 22], "interferomet": 2, "intermedi": 18, "intermediate_result": [3, 18], "intern": 16, "interpret": [0, 5, 11], "intor_symmetr": [15, 18], "introduc": [11, 12, 23], "invers": 4, "involv": [12, 13], "ip": 2, "ipykernel_4178": 9, "is_antihermitian": [2, 7], "is_hermitian": [2, 7], "is_orthogon": [2, 7], "is_real_symmetr": [2, 7], "is_special_orthogon": [2, 7], "is_unitari": [2, 7], "isclos": 0, "isn": 4, "issu": [9, 13], "item": 20, "iter": [0, 3, 4, 6, 18], "itertool": 2, "its": [0, 2, 4, 9, 13, 14, 15, 16, 23], "itself": [0, 14, 16], "j": [0, 1, 2, 4, 5, 8, 11, 12, 14, 15, 16], "jac": [3, 15, 18], "jastrow": [0, 3, 4, 5, 10, 17, 21], "ji": [0, 4, 11, 12], "jk": 12, "job": [4, 20], "jordan": [0, 4], "jordan_wign": [4, 7], "jq": 2, "json": [0, 15, 18], "jupyt": 22, "just": [0, 14, 18, 22, 23], "jwt": 4, "k": [0, 2, 3, 8, 9, 11, 16, 20, 23], "kappa": 0, "kappa_": 0, "keep": [0, 2], "kei": 20, "kij": 23, "know": 15, "known": [0, 8], "kpi": 23, "kqi": 23, "krj": 23, "kron": 0, "ksj": 23, "kwarg": [0, 4], "l": [0, 2, 3, 8, 11, 15, 18, 23], "label": [4, 14], "ladder": [8, 11], "lambda": [0, 4, 20], "lambda_i": [0, 1, 4, 12], "lambda_k": 12, "langl": 0, "larger": [0, 2, 3, 16], "last": [0, 2, 3, 4], "later": [19, 23], "lattic": [0, 11, 13, 18, 20], "layer": [0, 2, 13, 20], "lbfgsinvhessproduct": [15, 18], "ldot": [0, 2, 8, 11, 23], "lead": 0, "least": 2, "left": [0, 4, 12, 14, 16], "len": [15, 18, 23], "length": [0, 4, 5, 14, 15], "leq": [0, 2, 5], "less": [2, 11], "let": [0, 13, 14, 16, 18, 19, 20, 23], "level": 23, "lexicograph": [0, 16], "lib": [15, 18], "libopenbla": 22, "librari": [0, 21], "like": [4, 11, 18, 22], "limit": [0, 2, 11, 13, 15, 18], "linalg": [0, 7, 9, 12, 16, 18, 21, 23], "lindep": 3, "line": [0, 11, 13, 18], "linear": [0, 1, 2, 3, 4, 9, 12, 13, 16], "linear_oper": [0, 7, 9, 16, 18, 21, 23], "linearli": 8, "linearoper": [0, 1, 3, 16, 18, 21, 23], "linop": [9, 16, 21, 23], "linux": 22, "list": [0, 2, 4, 5, 6, 11, 14, 15, 18, 20, 23], "ll": [9, 12, 13, 15, 18, 20, 23], "lm": 16, "load": 0, "local": [10, 17, 21], "localhost": 22, "log": [0, 4], "logarithm": 11, "logic": [12, 15], "longer": 11, "longest": 0, "lookup": 0, "losslessli": 0, "low": [0, 8, 23], "lower": [0, 2], "lowest": [0, 13, 14], "lt": [15, 18, 19, 20], "lu": 2, "lucj": [10, 13, 17, 21], "lup": [2, 7], "lvert": [0, 4, 11, 14], "lzma": 0, "m": [0, 1, 2, 12], "m_": [0, 1, 2], "maco": 22, "made": 23, "magnitud": 0, "mai": [0, 2, 3, 4, 11, 22, 23], "main": [18, 22], "maintain": 8, "make": [11, 13], "manag": [4, 13, 19, 22], "mani": [0, 9, 12, 14, 21], "manual": 23, "many_body_ord": 0, "map": [0, 4, 12, 13, 16], "mapsto": [0, 4, 12], "mat": [0, 1, 2, 4, 12, 14], "mat_aa": 2, "mat_ab": 2, "mat_alpha_beta": 1, "mat_bb": 2, "match": [0, 2], "match_global_phas": [2, 7], "math": [5, 15], "mathbf": [0, 8, 11, 12], "mathcal": [0, 1, 4, 8, 11, 12], "matric": [0, 1, 2, 4, 11, 12, 23], "matrix": [0, 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 16], "max": [3, 23], "max_error": 23, "max_term_length": 5, "max_vec": [0, 2, 23], "maxfun": 15, "maximum": [0, 2, 3, 5, 23], "maxit": [3, 18], "mcscf": [15, 18], "mea": 20, "meant": [4, 19], "measur": [5, 8, 20], "measure_al": 20, "mention": 8, "merg": [4, 19], "mergeorbitalrot": [4, 7, 13], "messag": [6, 15, 18], "method": [0, 2, 3, 11, 15, 16, 20, 21], "mid": 20, "might": 2, "mind": 23, "minim": [0, 2, 3, 13, 15, 18], "minimize_linear_method": [3, 7, 18], "minimizz": 15, "minimum": 4, "mk": 2, "mkap": 2, "mkbq": 2, "mkip": 2, "mkjq": 2, "mkpq": 2, "mo_coeff": 0, "mo_occ": 0, "mode": 12, "model": 0, "modifi": [0, 2], "modified_choleski": [2, 7], "modul": [0, 14, 15, 19, 20], "mol": [15, 18, 20, 21, 23], "mol_data": [15, 18, 20, 21, 23], "mol_hamiltonian": [9, 15, 18, 20, 23], "mole": [0, 15, 18, 20, 21, 23], "molecul": [0, 18, 21, 23], "molecular": [0, 5, 9, 10, 14, 15, 18, 20, 21, 23], "moleculardata": [0, 7, 15, 18, 20, 21, 23], "molecularhamiltonian": [0, 5, 7, 9, 23], "more": [0, 2, 3, 4, 8, 9, 11, 13, 14, 19, 23], "most": [0, 2, 16, 20], "motiv": 13, "mp2": 0, "mp2_energi": 0, "mp2_t2": 0, "mpl": [13, 19], "msg": [15, 18], "mu": 0, "much": [0, 2, 8, 13, 21], "multipl": [0, 9, 16, 23], "multipli": [0, 16], "multiport": 2, "multirefer": 0, "multireference_st": [0, 7], "multireference_state_prod": [0, 7, 15], "must": [0, 2, 3, 4, 5, 16, 20], "n": [0, 2, 3, 8, 9, 11, 12, 14, 20, 21, 23], "n2": [20, 21, 23], "n_": [0, 1, 4, 8, 11, 12, 14], "n_alpha": [4, 6, 20], "n_beta": [4, 6, 20], "n_frozen": [20, 23], "n_i": 4, "n_j": 4, "n_layer": 15, "n_p": 0, "n_param": [0, 13], "n_qubit": 4, "n_rep": [0, 5, 13, 18, 19, 20], "n_sampl": 0, "n_step": [0, 4, 13, 19, 23], "n_term": 5, "n_vec": 2, "n_x": 0, "n_y": 0, "name": [0, 9, 13, 14, 19, 22], "namedtupl": [0, 2], "nan": 6, "nao_nr": [15, 18, 20, 21, 23], "nativ": 21, "navig": 22, "ndarrai": [0, 1, 2, 3, 4, 5, 6, 12, 18, 23], "nearest": 0, "nearest_neighbor_interact": 0, "need": [0, 4, 9, 11, 13, 20, 22, 23], "neg": [0, 4], "neglig": 4, "neighbor": [0, 13], "nelec": [0, 1, 4, 6, 9, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23], "nelectron": 18, "neq": 0, "nest": 2, "network": 11, "new": [0, 4, 12, 16], "newli": 0, "next": [13, 15, 23], "nfev": [3, 15, 18], "nit": [15, 18], "nitrogen": [20, 23], "njev": [15, 18], "nlinop": [3, 18], "nn": 0, "nocc": [0, 5, 6], "nocc_a": 2, "nocc_b": 2, "noisi": [4, 11], "non": [4, 11], "none": [0, 1, 2, 3, 4, 5, 6], "nonzero": [0, 2, 5, 11], "norb": [0, 1, 2, 4, 5, 6, 9, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23], "norb_i": 0, "norb_rang": 6, "norb_x": 0, "norm": [0, 18], "normal": [0, 15, 16], "normal_ord": [0, 16], "note": [0, 2, 3, 13, 14, 16, 19, 21], "notebook": 22, "notic": 18, "notimplementederror": 4, "now": [9, 13, 15, 18, 20, 23], "np": [0, 2, 4, 5, 6, 9, 12, 13, 15, 18, 19, 20, 21, 23], "num_num_ansatz_op": 4, "num_op_sum_linop": [1, 7], "number": [0, 1, 2, 3, 4, 5, 6, 8, 9, 12, 14, 15, 16, 18, 21, 23], "number_oper": [0, 7], "numer": [0, 2, 4, 16], "numnumansatzopspinbalanc": [0, 4, 7], "numnumansatzopspinbalancedjw": [4, 7], "numopsumevolutionjw": [4, 7, 13, 19], "numopsumevolutionspinlessjw": [4, 7], "numpi": [0, 1, 2, 4, 6, 9, 11, 12, 13, 14, 15, 18, 19, 20, 21, 23], "o": [0, 15, 20], "o_1": 0, "o_2": 0, "o_k": 0, "obj": 0, "object": [0, 2, 3, 4, 5, 9, 16, 18, 20], "obtain": [0, 8, 9, 12, 13, 18, 23], "occ_a": 6, "occ_b": 6, "occup": [0, 6, 8, 12, 14], "occupi": [0, 4, 5, 6, 13, 14], "occupied_orbit": [0, 4, 13, 19, 20], "often": [8, 11, 18], "onc": [12, 13, 22], "one": [0, 1, 2, 4, 5, 8, 9, 13, 14, 18, 20, 22, 23], "one_body_basis_chang": 23, "one_body_energi": 23, "one_body_integr": 0, "one_body_linop": [1, 7], "one_body_squar": 0, "one_body_tensor": [0, 9, 23], "one_hot": [2, 7], "one_rdm": 0, "ones": 9, "onli": [0, 2, 4, 8, 11, 12, 13, 20, 22], "onsit": 0, "onto": [13, 16], "op": [0, 4, 16], "op1": [0, 16], "op2": [0, 16], "op3": 16, "op4": 16, "opaqu": 13, "open": [0, 11], "openbla": 22, "oper": [0, 1, 2, 3, 4, 5, 8, 11, 12, 16, 18, 22, 23], "oppos": 13, "opposit": [18, 20], "optim": [0, 2, 4, 7, 11, 13, 19, 21], "optimization_level": [13, 19], "optimize_kwarg": 3, "optimize_regular": 3, "optimize_vari": 3, "optimizeresult": [3, 18], "option": [0, 1, 2, 3, 4, 5, 9, 15, 18, 22], "orb": [0, 16], "orbit": [0, 1, 2, 4, 5, 6, 8, 9, 10, 11, 14, 15, 16, 18, 20, 21, 23], "orbital_rot": [0, 1, 2, 4, 12, 13, 14, 19, 20, 21, 23], "orbital_rotation_a": 2, "orbital_rotation_b": 2, "orbital_symmetri": 0, "orbitalrotationjw": [4, 7, 13, 19, 20], "orbitalrotationspinlessjw": [4, 7], "order": [0, 1, 2, 4, 5, 8, 9, 13, 14, 16, 19, 20, 23], "ordereddict": [13, 19], "org": 0, "origin": [0, 2, 11, 13, 23], "orthogon": [2, 5], "other": [0, 4, 11, 14, 18, 19, 20], "otherwis": 0, "our": [15, 18, 20, 23], "out": [2, 23], "output": [0, 3, 4, 13, 18, 20], "over": 0, "overrid": [0, 2], "overwritten": [0, 15, 18], "own": 4, "p": [0, 2, 8, 9, 11, 13, 18, 19, 20], "packag": [15, 18, 22], "pacman": 22, "pad": 0, "page": [8, 9, 11, 12, 13, 14], "pair": [0, 1, 2, 4, 5, 6, 11, 13, 14], "pairs_aa": [13, 18, 20], "pairs_ab": [13, 18, 20], "pairs_bb": 20, "paper": 11, "parallel": [2, 11, 13], "param": 0, "paramet": [0, 1, 2, 3, 4, 5, 6, 11, 15, 18], "parameter_valu": 4, "params_to_vec": [3, 18], "pars": [15, 18], "part": [0, 5, 8, 12, 14, 15], "particl": [0, 5, 6, 12, 16, 21], "pass": [0, 1, 2, 4, 9, 12, 13, 14, 15, 16, 18, 19], "pass_manag": [13, 19], "passmanag": [4, 13], "path": 0, "pathlik": 0, "pattern": [13, 15], "pauli": 0, "per": 23, "perform": [0, 2, 3, 8, 9, 12, 13, 20, 23], "period": 0, "periodic_i": 0, "periodic_x": 0, "permut": 2, "persist": 22, "ph": 5, "phase": [0, 2, 4, 6, 13], "phase_angl": 0, "phaseg": 13, "phi": [0, 2, 6], "phi_0": 11, "pi": [0, 15], "piec": [9, 16], "pip": 21, "pipelin": 13, "pivot": 2, "pk": 2, "place": [0, 2, 11, 13, 16, 22], "plain": 14, "pmatrix": [0, 2], "point": 0, "polar": 0, "posit": [2, 3, 14], "possibl": [0, 2, 6, 20, 21], "possibli": [0, 18], "potenti": 0, "power": 0, "pq": [0, 2, 8, 9], "pqr": [0, 2, 8, 9, 23], "practic": 8, "pre": [11, 19], "pre_init": [4, 7, 13, 19], "pre_init_pass": [4, 7, 19], "precis": 6, "prepar": [0, 4, 20], "preparehartreefockjw": [4, 7, 13, 19, 20], "preparehartreefockspinlessjw": [4, 7, 20], "prepareslaterdeterminantjw": [4, 7, 13, 19, 20], "prepareslaterdeterminantspinlessjw": [4, 7, 20], "present": 3, "preserv": [16, 20], "preset_passmanag": [13, 19], "previou": [18, 20], "previous": [8, 13, 14, 18], "primit": [4, 17, 21], "primitivejob": 4, "primitiveresult": 4, "print": [0, 6, 13, 14, 15, 16, 18, 20, 21, 23], "probabl": [0, 4], "problem": 3, "process": 0, "processor": 11, "prod": 15, "prod_": [0, 4, 11], "prod_k": 8, "prod_state_sum": 0, "produc": [0, 13], "product": [0, 2, 8, 14, 15, 16], "productstatesum": [0, 7], "programmat": 16, "properti": [0, 2, 12], "proport": [0, 8], "protocol": 0, "provid": [9, 13, 19, 22], "pseudorandom": [0, 4, 5, 6], "psi": [0, 11], "pub": [4, 20], "pub_result": 20, "put": 15, "py": [9, 15, 18], "pypi": 22, "pyscf": [0, 4, 14, 15, 18, 20, 21, 23], "python3": [15, 18], "q": [0, 8, 9, 13, 19], "qdrift": 0, "qi": 0, "qiskit": [7, 13, 17, 21, 22], "qiskit_vec_to_ffsim_vec": [4, 7], "qk": 2, "quadrat": [8, 10, 21, 23], "qualnam": 0, "quantifi": 2, "quantiti": 0, "quantum": [0, 4, 8, 11, 13, 14, 17, 20, 21], "quantumcircuit": [4, 13, 19, 20], "quantumregist": [13, 19, 20], "qubit": [0, 4, 10, 11, 15, 19, 20, 21], "r": [0, 2, 8, 9], "radic": 20, "radius_1": 15, "radius_2": 15, "rais": [0, 2, 4, 6], "random": [0, 4, 6, 7, 9, 13, 14, 15, 16, 19, 20, 21], "random_antihermitian": [5, 7], "random_diagonal_coulomb_hamiltonian": [5, 7], "random_double_factorized_hamiltonian": [5, 7, 13, 19], "random_fermion_hamiltonian": [5, 7], "random_fermion_oper": [5, 7], "random_hermitian": [5, 7], "random_molecular_hamiltonian": [5, 7], "random_nelec": [6, 7], "random_occupied_orbit": [6, 7], "random_orthogon": [5, 7], "random_real_symmetric_matrix": [5, 7, 9, 13, 19, 20], "random_special_orthogon": [5, 7], "random_state_vector": [5, 7, 16], "random_t2_amplitud": [5, 7], "random_two_body_tensor": [5, 7, 9], "random_uccsd_restrict": [5, 7], "random_ucj_op_spin_balanc": [5, 7, 13, 19], "random_ucj_op_spin_unbalanc": [5, 7, 19], "random_ucj_op_spinless": [5, 7], "random_unitari": [5, 7, 13, 14, 19, 20, 21], "rang": [0, 2, 6, 13, 14, 15, 18, 20, 21, 23], "rangl": [0, 4, 11, 14], "rank": [0, 2, 5, 8, 13], "rather": [0, 5, 12, 14], "rccsd": 20, "rdm": [0, 7], "rdm1": 0, "rdm2": 0, "rdm3": 0, "rdm4": 0, "reach": 18, "read": 0, "real": [0, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 18, 21], "reason": [4, 12], "recal": 13, "recommend": [4, 13, 16, 19, 21], "reconstruct": [0, 2, 23], "reconstruct_t2_alpha_beta": 2, "recover": 0, "reduc": [0, 2, 13], "reduced_matrix": [2, 7], "reduced_matrix_product_st": 0, "reduct": 18, "redund": 11, "refer": [0, 2, 3, 4, 5, 6, 11, 12, 14, 18, 21], "reference_occup": [0, 15], "reference_occupations_spati": 15, "reference_st": 18, "regress": 0, "regular": [3, 18], "rel": [0, 2, 4, 6, 18], "rel_reduction_of_f_": 18, "relat": 12, "releas": 21, "reorder": [0, 8], "rep": 13, "repeat": 15, "repeatedli": 12, "repetit": [0, 5, 11, 13, 18], "repositori": 22, "repr": 16, "repres": [0, 2, 3, 4, 5, 6, 9, 11, 14, 16, 18, 19], "represent": [0, 1, 2, 4, 5, 10, 14, 16, 21, 23], "reproduc": 23, "request": 0, "requir": [0, 9, 11, 13, 14, 22], "reshap": 14, "respect": [0, 2, 3, 23], "rest": [0, 13], "restrict": [0, 5, 13, 18], "result": [0, 1, 2, 3, 4, 5, 8, 9, 11, 13, 15, 18, 19, 20, 23], "retain": [0, 13], "retriev": 20, "return": [0, 1, 2, 3, 4, 5, 6, 12, 15, 16, 18, 23], "revers": 20, "rewrit": 0, "rewritten": 12, "rhf": [15, 18, 20, 21, 23], "right": [0, 4, 12, 14, 16], "ring": 0, "rise": [2, 8], "rng": [9, 13, 15, 19, 20], "rohf": 20, "root": 0, "rotat": [0, 1, 2, 4, 5, 8, 10, 11, 14, 21, 23], "rotated_vec": 14, "routin": [2, 9, 16], "row": [0, 2, 14], "rtol": [0, 2, 4, 6], "rtype": [2, 4], "run": [0, 4, 13, 15, 18, 19, 20, 21, 22, 23], "run_ccsd": 0, "run_cisd": 0, "run_fci": [0, 15, 18], "run_mp2": 0, "run_sci": 0, "rung": 11, "runner": [15, 18], "rust": 22, "rvert": 0, "s_": [0, 14], "s_a": 0, "s_b": 0, "sa": 9, "same": [0, 9, 11, 12, 13, 14, 15, 18, 20], "sampl": [0, 4, 5, 6, 9], "sample_slater_determin": [0, 7], "sample_state_vector": [0, 7], "sampler": [0, 4, 17, 21], "samplerpubresult": 4, "sandwich": 13, "satisfi": [0, 12, 16, 20, 22], "save": [0, 18, 22], "scalar": [0, 16], "scale": [8, 13, 15, 19], "scf": [0, 15, 18, 20, 21, 23], "scheme": 8, "sci": 0, "sci_energi": 0, "sci_vec": 0, "scipi": [0, 2, 3, 15, 16, 18, 21, 23], "search": 14, "second": [0, 2, 4, 8], "section": [8, 19], "sector": [0, 1, 2, 4, 15], "see": [0, 2, 4, 11, 13, 14, 19, 22, 23], "seed": [0, 4, 5, 6, 9, 13, 14, 19, 20, 21], "seen": 20, "select": 3, "sens": [13, 23], "separ": [11, 14], "sequenc": [0, 2, 4, 13], "seri": 2, "serial": 0, "serializ": [15, 18], "set": [0, 1, 2, 4, 5, 8, 11, 12, 13, 19, 23], "setup": 11, "sever": [9, 13], "shape": [0, 2, 5, 11, 23], "share": 11, "shell": [11, 18], "shot": [0, 4, 20], "should": [0, 1, 2, 4, 5, 6, 9, 12, 22], "show": [13, 15, 16, 18, 19, 20], "shown": 16, "side": 0, "sigma": [0, 1, 4, 8, 9, 11, 12], "sign": 0, "signatur": 3, "signific": 23, "significantli": 13, "similar": 18, "simpl": [20, 22], "simpler": 0, "simpli": [4, 13, 14], "simplist": 23, "simul": [0, 4, 8, 11, 12, 14, 17, 21, 24], "simulate_qdrift_double_factor": [0, 7], "simulate_trotter_diag_coulomb_split_op": [0, 7], "simulate_trotter_double_factor": [0, 7, 8, 23], "simulate_trotter_step_double_factor": 23, "simulatetrotterdiagcoulombsplitopjw": [4, 7], "simulatetrotterdoublefactorizedjw": [4, 7, 13, 19], "sin": [0, 15], "sinc": [0, 2, 11, 12, 15, 18], "singl": [0, 1, 4, 6, 8, 13, 23], "singlefactorizedhamiltonian": [0, 7], "singular": [0, 2], "site": [0, 15, 18], "size": [0, 3, 15], "slater": [0, 4], "slater_determin": [0, 7], "slater_determinant_amplitud": [0, 7], "slater_determinant_rdm": [0, 7], "slice": 2, "small": 2, "smaller": [0, 2, 8, 16, 23], "so": [0, 2, 6, 8, 11, 12, 13, 15, 16, 22, 23], "softwar": [0, 21], "solv": 3, "some": [0, 2, 6, 9, 13, 14, 16, 18, 20], "sometim": [0, 14], "sort": 20, "sourc": [0, 1, 2, 3, 4, 5, 6, 21], "space": [0, 9, 14, 15, 18, 20, 23], "span": [0, 2], "spars": [9, 16, 23], "sparsepauliop": 4, "sparsiti": 11, "spatial": [0, 1, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 23], "speci": [4, 6], "special": [2, 5, 11, 13, 21], "specif": 14, "specifi": [0, 1, 2, 3, 4, 5, 6, 9, 11, 13, 15, 23], "spectral": 0, "spin": [0, 1, 2, 4, 5, 6, 7, 12, 13, 14, 15, 16, 18, 20, 21], "spin_squar": [0, 7], "spin_sum": 0, "spinless": [0, 4, 5, 6], "split": [0, 4, 23], "squar": [0, 2, 11, 13, 18, 20], "stack": 0, "stage": [4, 13, 19], "standard": 18, "standard_norm": [9, 13, 19], "star": 2, "start": 0, "state": [0, 1, 3, 4, 5, 9, 10, 11, 12, 13, 18, 20, 21, 23], "statevector": [0, 4, 7], "static": 0, "statist": 20, "statu": [15, 18], "step": [0, 4, 8, 12, 15, 19, 23], "step_tim": 23, "still": [0, 8], "sto": [0, 15, 18, 23], "stop": [3, 15, 18], "store": [0, 2, 4, 6, 9, 11, 13, 18, 19, 23], "store_cisd_vec": 0, "store_fci_vec": 0, "store_sci_vec": 0, "store_t1": 0, "store_t2": 0, "str": [0, 2, 4, 6], "straightforward": 2, "strategi": 0, "strength": 0, "strictli": 3, "string": [0, 14, 16], "strings_a": 0, "strings_b": 0, "strings_to_address": [0, 7], "structur": [0, 8], "sub": 0, "subdirectori": 22, "submit": 20, "subroutin": 12, "subspac": [0, 2, 16], "substitut": [0, 5], "subsystem": [14, 22], "subtract": [0, 16], "success": [15, 18], "sudo": 22, "suffix": 15, "suggest": 19, "sum": [0, 4, 8, 23], "sum_": [0, 1, 2, 4, 8, 9, 11, 12, 23], "sum_j": 12, "sum_k": [8, 12], "sum_p": 0, "sum_t": 0, "summat": 0, "support": [0, 2, 9, 14, 16, 20, 22], "supportsapplyunitari": [0, 7], "supportsapproximateequ": [0, 7], "supportsdiagon": [0, 7], "supportsfermionoper": [0, 7], "supportslinearoper": [0, 7], "supportstrac": [0, 7], "suzuki": [0, 23], "swap": [0, 11, 13], "symmetr": [0, 2, 4, 5, 8, 11], "symmetri": [0, 12, 15, 18, 20, 21, 23], "system": [0, 4, 6, 12, 14, 22], "t": [0, 2, 4, 8, 11, 12, 20, 21], "t1": 0, "t1a": 0, "t1b": 0, "t2": [0, 2, 5, 18, 20], "t2_amplitud": 2, "t2aa": 0, "t2ab": 0, "t2bb": 0, "t_": 2, "tabl": [0, 16], "take": [0, 3, 18, 19], "taken": 11, "target": [2, 13], "target_orb": 0, "tau": [0, 1, 4, 8, 9, 11], "taylor": 2, "tensor": [0, 1, 2, 5, 8, 9, 18, 23], "term": [0, 2, 5, 8, 11, 16, 23], "test": [7, 21, 23], "text": [0, 8, 9], "th": [2, 12], "than": [0, 4, 5, 12, 13, 14, 18, 21], "thei": [0, 9, 11, 12, 16], "them": [11, 13, 14], "therefor": [0, 2, 11], "theta": [0, 15], "thi": [0, 2, 4, 8, 9, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23], "think": 2, "third": [0, 2], "those": [3, 18], "though": 13, "three": [0, 1, 4, 9, 16], "threshold": [0, 2, 3], "thu": 8, "time": [0, 2, 3, 4, 9, 13, 14, 19, 20, 23], "titl": 21, "tmp": [9, 15, 18], "tmpgls5fgzz": 18, "tmpp56jd4o0": 15, "to_diag_coulomb_mat": 0, "to_fcidump": 0, "to_json": 0, "to_molecular_hamiltonian": 0, "to_number_represent": 0, "to_orbital_rot": 0, "to_paramet": [0, 18], "to_z_represent": 0, "tol": [0, 2, 23], "toler": [0, 2, 4, 6, 11, 23], "too": 2, "top": 20, "topologi": [11, 13, 18], "toru": 0, "total": [4, 8, 15, 18, 23], "tox": [15, 18], "trace": [0, 7, 9, 23], "tracea": [9, 23], "trajectori": 0, "transform": [0, 1, 4], "transformationpass": 4, "transpil": [4, 13, 17, 21], "transpiled_opt": 13, "treat": 0, "triangl": 11, "trianglular": [0, 2], "triangular": [0, 2, 4, 5], "triplet": 6, "trotter": [0, 4, 21, 24], "true": [0, 2, 3, 4, 6, 16, 18, 20], "truncat": 8, "try": 23, "tunnel": 0, "tupl": [0, 1, 2, 4, 5, 6, 12, 15, 16, 23], "tutori": [21, 23], "twice": [0, 15, 19], "two": [0, 2, 5, 8, 9, 11, 13, 14, 15, 18, 22, 23], "two_body_integr": 0, "two_body_tensor": [0, 2, 9, 23], "type": [0, 1, 2, 3, 4, 5, 6, 20, 22], "typeerror": 0, "typic": 0, "u": [0, 1, 2, 4, 8, 11, 12], "u_": 4, "u_k": 0, "ubuntu": 22, "uccsd": [0, 5, 20], "uccsdoprestrictedr": [0, 5, 7], "ucj": [0, 4, 5], "ucj_balanced_jw": 13, "ucj_op": [4, 13, 19, 20], "ucjoperatorjw": 4, "ucjopspinbalanc": [0, 4, 5, 7, 11, 13, 18, 20], "ucjopspinbalancedjw": [4, 7, 13, 19, 20], "ucjopspinless": [0, 4, 5, 7], "ucjopspinlessjw": [4, 7], "ucjopspinunbalanc": [0, 4, 5, 7, 11, 20], "ucjopspinunbalancedjw": [4, 7, 13, 19, 20], "uhf": 20, "unbalanc": [0, 4, 5, 20], "uncorrel": 0, "under": [0, 4], "underli": 4, "unifi": 20, "uniform": [0, 4, 5], "unimpl": 4, "union": [2, 4], "unit": 2, "unitari": [0, 1, 2, 4, 5, 8, 10, 12, 14, 17, 21], "univers": 2, "unlik": 0, "unord": 0, "untouch": 0, "up": [0, 2, 6, 8, 14, 22], "updat": [0, 8], "upon": 16, "upper": [0, 2, 4, 5, 11], "url": 21, "us": [0, 1, 2, 3, 4, 5, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 21, 23], "usag": [0, 2, 16, 19], "user": 22, "userwarn": [9, 15, 18], "usual": 0, "util": [2, 5, 6, 8], "v": [0, 20], "v_": 0, "v_i": 2, "v_j": 2, "vacuum": 4, "valid": [0, 4, 5, 6], "valu": [0, 1, 2, 3, 4, 5, 6, 9, 11, 18, 19, 23], "valueerror": [0, 2, 4], "vari": [0, 4], "variabl": [14, 23], "variant": [11, 13, 18], "variat": [0, 3, 11, 18], "variation": 18, "varphi": 0, "vdot": [18, 21, 23], "ve": 23, "vec": [0, 1, 2, 4, 9, 12, 14, 16, 21, 23], "vec_a": 0, "vec_b": 0, "vector": [0, 1, 2, 3, 4, 5, 9, 10, 11, 12, 15, 16, 18, 21], "verbos": 6, "verifi": 2, "version": 4, "vertic": 0, "via": [0, 23], "view": [0, 16], "volum": 22, "w": 0, "wa": [0, 3, 4, 11], "wai": 11, "want": 13, "warn": [9, 15, 18, 20], "water": 15, "wavefunct": [3, 18], "we": [0, 2, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23], "web": 22, "weight": 14, "well": [3, 14, 21, 22, 23], "when": [0, 3, 4, 9, 11, 13, 14, 16, 19, 21], "whenev": 0, "where": [0, 1, 2, 3, 4, 5, 8, 11, 12, 14, 22, 23], "whether": [0, 1, 2, 3, 4, 5, 16], "which": [0, 2, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 22, 23], "while": [8, 11], "whose": [0, 2, 14], "width": 5, "wigner": [0, 4], "william": 2, "window": [21, 22], "wise": 2, "with_final_orbital_rot": [0, 5], "with_phase_angl": 0, "with_phi": 0, "within": [0, 2, 13, 16, 18, 21], "without": [11, 13, 18], "won": 21, "word": [0, 11, 20], "work": [9, 13, 15, 18, 19, 21, 22], "workflow": 20, "would": [13, 14], "wrapper": 23, "write": 23, "written": 8, "wrote": 23, "wsl": 22, "x": [0, 3, 4, 13, 15, 18, 19, 20], "x0": [3, 15, 18], "xx_plus_yi": [13, 19], "xxplusyyg": [13, 19], "y": 0, "yaml": 22, "yet": [9, 18], "yield": [0, 2, 4, 8, 11, 15, 23], "you": [0, 1, 2, 4, 9, 14, 18, 21, 22, 23], "your": [19, 22], "z": [0, 1, 2, 4, 5, 12, 16, 21], "z_represent": [0, 1, 4, 5], "zero": [0, 2, 4, 9, 19], "zip": [0, 15, 18, 23], "\u03c8": 18}, "titles": ["ffsim", "ffsim.contract", "ffsim.linalg", "ffsim.optimize", "ffsim.qiskit", "ffsim.random", "ffsim.testing", "API reference", "Double-factorized representation of the molecular Hamiltonian", "Hamiltonians", "Explanations", "The local unitary cluster Jastrow (LUCJ) ansatz", "Orbital rotations and quadratic Hamiltonians", "Qubit gate decompositions of fermionic gates", "State vectors and gates", "How to simulate entanglement forging", "How to use the FermionOperator class", "How-to guides", "How to simulate the local unitary cluster Jastrow (LUCJ) ansatz", "How to build and transpile Qiskit quantum circuits", "How to use ffsim\u2019s Qiskit Sampler primitive", "ffsim", "Installation", "Implementing Trotter simulation of the double-factorized Hamiltonian", "Tutorials"], "titleterms": {"": 20, "The": 11, "action": 9, "an": 20, "ansatz": [11, 15, 18], "api": 7, "applic": 8, "background": 8, "balanc": [11, 19], "brief": 8, "build": [15, 19, 23], "can": 20, "choos": 15, "circuit": [19, 20], "cite": 21, "class": 16, "close": 20, "cluster": [11, 13, 18, 19], "code": 21, "comput": 15, "content": 21, "contract": 1, "coulomb": [13, 19], "criteria": 20, "data": 9, "decomposit": 13, "determin": [13, 19], "diagon": [13, 19], "docker": 22, "doubl": [8, 13, 19, 23], "energi": 15, "entangl": 15, "evolut": [8, 12, 13, 19], "exampl": [20, 21], "explan": 10, "factor": [8, 13, 19, 23], "fermion": [13, 14], "fermionoper": 16, "ffsim": [0, 1, 2, 3, 4, 5, 6, 20, 21], "ffsimsampl": 20, "fock": [13, 19], "forg": 15, "formula": 8, "from": [20, 22], "gate": [13, 14, 19], "gener": [11, 18], "guid": 17, "hamiltonian": [8, 9, 12, 13, 19, 23], "hartre": [13, 19], "how": [15, 16, 17, 18, 19, 20], "implement": 23, "initi": 15, "instal": [21, 22], "jastrow": [11, 13, 18, 19], "linalg": 2, "linear": 18, "linearoper": 9, "local": [11, 13, 18], "lucj": [11, 18, 20], "merg": 13, "method": 18, "molecul": [15, 20], "molecular": 8, "more": 20, "number": [13, 19], "occup": 15, "open": 20, "oper": [9, 13, 15, 19], "optim": [3, 15, 18], "orbit": [12, 13, 19], "overview": 19, "pip": 22, "prepar": [13, 19], "primit": 20, "qiskit": [4, 19, 20], "quadrat": 12, "quantum": 19, "qubit": 13, "random": 5, "refer": [7, 15], "represent": [8, 9], "rotat": [12, 13, 19], "sampl": 20, "sampler": 20, "scipi": 9, "shell": 20, "simul": [13, 15, 18, 19, 23], "slater": [13, 19], "sourc": 22, "spin": [11, 19], "spinless": 14, "state": [14, 19], "sum": [13, 19], "suzuki": 8, "test": 6, "time": [8, 12], "transform": 19, "transpil": 19, "treat": 14, "trotter": [8, 13, 19, 23], "tutori": 24, "ucj": [11, 13, 18, 19], "unbalanc": [11, 19], "unitari": [11, 13, 18, 19], "us": [16, 20, 22], "vector": 14, "via": [8, 9], "within": 22}})
\ No newline at end of file
+Search.setIndex({"alltitles": {"API reference": [[7, null]], "Application to the double-factorized Hamiltonian": [[8, "Application-to-the-double-factorized-Hamiltonian"]], "Application to time evolution via Trotter-Suzuki formulas": [[8, "Application-to-time-evolution-via-Trotter-Suzuki-formulas"]], "Brief background on Trotter-Suzuki formulas": [[8, "Brief-background-on-Trotter-Suzuki-formulas"]], "Build a molecule": [[15, "Build-a-molecule"]], "Build the Hamiltonian": [[23, "Build-the-Hamiltonian"]], "Choose reference occupations": [[15, "Choose-reference-occupations"]], "Circuit transpilation": [[19, "Circuit-transpilation"]], "Citing ffsim": [[21, "citing-ffsim"]], "Code example": [[21, "code-example"]], "Compute energy": [[15, "Compute-energy"]], "Contents": [[21, "contents"]], "Criteria for circuits that FfsimSampler can sample": [[20, "Criteria-for-circuits-that-FfsimSampler-can-sample"]], "Data representation": [[9, "Data-representation"]], "Diagonal Coulomb evolution": [[13, "Diagonal-Coulomb-evolution"], [19, "Diagonal-Coulomb-evolution"]], "Double-factorized representation": [[8, "Double-factorized-representation"]], "Double-factorized representation of the molecular Hamiltonian": [[8, null]], "Example of using FfsimSampler": [[20, "Example-of-using-FfsimSampler"]], "Explanations": [[10, null]], "Gates": [[14, "Gates"]], "General UCJ ansatz": [[18, "General-UCJ-ansatz"]], "Hamiltonians": [[9, null]], "Hartree-Fock and Slater determinant preparation": [[13, "Hartree-Fock-and-Slater-determinant-preparation"]], "How to build and transpile Qiskit quantum circuits": [[19, null]], "How to simulate entanglement forging": [[15, null]], "How to simulate the local unitary cluster Jastrow (LUCJ) ansatz": [[18, null]], "How to use ffsim\u2019s Qiskit Sampler primitive": [[20, null]], "How to use the FermionOperator class": [[16, null]], "How-to guides": [[17, null]], "Implement Trotter simulation": [[23, "Implement-Trotter-simulation"]], "Implementing Trotter simulation of the double-factorized Hamiltonian": [[23, null]], "Initialize ansatz operator": [[15, "Initialize-ansatz-operator"]], "Install from source": [[22, "install-from-source"]], "Installation": [[21, "installation"], [22, null]], "LUCJ ansatz": [[18, "LUCJ-ansatz"]], "Locality in the UCJ operator": [[13, "Locality-in-the-UCJ-operator"]], "Merging orbital rotations": [[13, "Merging-orbital-rotations"]], "More examples": [[20, "More-examples"]], "Number operator sum evolution": [[13, "Number-operator-sum-evolution"], [19, "Number-operator-sum-evolution"]], "Operator action via SciPy LinearOperators": [[9, "Operator-action-via-SciPy-LinearOperators"]], "Optimize energy": [[15, "Optimize-energy"]], "Optimize with the linear method": [[18, "Optimize-with-the-linear-method"]], "Orbital rotation": [[13, "Orbital-rotation"], [19, "Orbital-rotation"]], "Orbital rotations": [[12, "Orbital-rotations"]], "Orbital rotations and quadratic Hamiltonians": [[12, null]], "Overview of gates": [[19, "Overview-of-gates"]], "Pip install": [[22, "pip-install"]], "Prepare Hartree-Fock state": [[19, "Prepare-Hartree-Fock-state"]], "Prepare Slater determinant": [[19, "Prepare-Slater-determinant"]], "Qubit gate decompositions of fermionic gates": [[13, null]], "Sampling from an LUCJ circuit for a closed-shell molecule": [[20, "Sampling-from-an-LUCJ-circuit-for-a-closed-shell-molecule"]], "Sampling from an LUCJ circuit for an open-shell molecule": [[20, "Sampling-from-an-LUCJ-circuit-for-an-open-shell-molecule"]], "Spin-balanced and spin-unbalanced ansatzes": [[11, "Spin-balanced-and-spin-unbalanced-ansatzes"]], "Spin-balanced unitary cluster Jastrow (UCJ) operator": [[19, "Spin-balanced-unitary-cluster-Jastrow-(UCJ)-operator"]], "Spin-unbalanced unitary cluster Jastrow (UCJ) operator": [[19, "Spin-unbalanced-unitary-cluster-Jastrow-(UCJ)-operator"]], "State preparation gates": [[19, "State-preparation-gates"]], "State vectors": [[14, "State-vectors"]], "State vectors and gates": [[14, null]], "The general unitary cluster Jastrow (UCJ) ansatz": [[11, "The-general-unitary-cluster-Jastrow-(UCJ)-ansatz"]], "The local UCJ (LUCJ) ansatz": [[11, "The-local-UCJ-(LUCJ)-ansatz"]], "The local unitary cluster Jastrow (LUCJ) ansatz": [[11, null]], "Time evolution by a quadratic Hamiltonian": [[12, "Time-evolution-by-a-quadratic-Hamiltonian"]], "Treating spinless fermions": [[14, "Treating-spinless-fermions"]], "Trotter simulation of double-factorized Hamiltonian": [[13, "Trotter-simulation-of-double-factorized-Hamiltonian"], [19, "Trotter-simulation-of-double-factorized-Hamiltonian"]], "Tutorials": [[24, null]], "Unitary cluster Jastrow (UCJ) operator": [[13, "Unitary-cluster-Jastrow-(UCJ)-operator"]], "Unitary transformation gates": [[19, "Unitary-transformation-gates"]], "Use within Docker": [[22, "use-within-docker"]], "ffsim": [[0, null], [21, null]], "ffsim.contract": [[1, null]], "ffsim.linalg": [[2, null]], "ffsim.optimize": [[3, null]], "ffsim.qiskit": [[4, null]], "ffsim.random": [[5, null]], "ffsim.testing": [[6, null]]}, "docnames": ["api/ffsim", "api/ffsim.contract", "api/ffsim.linalg", "api/ffsim.optimize", "api/ffsim.qiskit", "api/ffsim.random", "api/ffsim.testing", "api/index", "explanations/double-factorized", "explanations/hamiltonians", "explanations/index", "explanations/lucj", "explanations/orbital-rotation", "explanations/qiskit-gate-decompositions", "explanations/state-vectors-and-gates", "how-to-guides/entanglement-forging", "how-to-guides/fermion-operator", "how-to-guides/index", "how-to-guides/lucj", "how-to-guides/qiskit-circuits", "how-to-guides/qiskit-sampler", "index", "install", "tutorials/double-factorized-trotter", "tutorials/index"], "envversion": {"nbsphinx": 4, "sphinx": 64, "sphinx.domains.c": 3, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 9, "sphinx.domains.index": 1, "sphinx.domains.javascript": 3, "sphinx.domains.math": 2, "sphinx.domains.python": 4, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.viewcode": 1}, "filenames": ["api/ffsim.rst", "api/ffsim.contract.rst", "api/ffsim.linalg.rst", "api/ffsim.optimize.rst", "api/ffsim.qiskit.rst", "api/ffsim.random.rst", "api/ffsim.testing.rst", "api/index.md", "explanations/double-factorized.ipynb", "explanations/hamiltonians.ipynb", "explanations/index.md", "explanations/lucj.ipynb", "explanations/orbital-rotation.ipynb", "explanations/qiskit-gate-decompositions.ipynb", "explanations/state-vectors-and-gates.ipynb", "how-to-guides/entanglement-forging.ipynb", "how-to-guides/fermion-operator.ipynb", "how-to-guides/index.md", "how-to-guides/lucj.ipynb", "how-to-guides/qiskit-circuits.ipynb", "how-to-guides/qiskit-sampler.ipynb", "index.md", "install.md", "tutorials/double-factorized-trotter.ipynb", "tutorials/index.md"], "indexentries": {"__init__() (ffsim.qiskit.diagcoulombevolutionjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW.__init__", false]], "__init__() (ffsim.qiskit.diagcoulombevolutionspinlessjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.dropnegligible method)": [[4, "ffsim.qiskit.DropNegligible.__init__", false]], "__init__() (ffsim.qiskit.ffsimsampler method)": [[4, "ffsim.qiskit.FfsimSampler.__init__", false]], "__init__() (ffsim.qiskit.givensansatzopjw method)": [[4, "ffsim.qiskit.GivensAnsatzOpJW.__init__", false]], "__init__() (ffsim.qiskit.givensansatzopspinlessjw method)": [[4, "ffsim.qiskit.GivensAnsatzOpSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.numnumansatzopspinbalancedjw method)": [[4, "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW.__init__", false]], "__init__() (ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.__init__", false]], "__init__() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.__init__", false]], "__init__() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.preparehartreefockjw method)": [[4, "ffsim.qiskit.PrepareHartreeFockJW.__init__", false]], "__init__() (ffsim.qiskit.preparehartreefockspinlessjw method)": [[4, "ffsim.qiskit.PrepareHartreeFockSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.prepareslaterdeterminantjw method)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantJW.__init__", false]], "__init__() (ffsim.qiskit.prepareslaterdeterminantspinlessjw method)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.simulatetrotterdiagcoulombsplitopjw method)": [[4, "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW.__init__", false]], "__init__() (ffsim.qiskit.simulatetrotterdoublefactorizedjw method)": [[4, "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinbalancedjw method)": [[4, "ffsim.qiskit.UCJOpSpinBalancedJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinlessjw method)": [[4, "ffsim.qiskit.UCJOpSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinunbalancedjw method)": [[4, "ffsim.qiskit.UCJOpSpinUnbalancedJW.__init__", false]], "action (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.action", false]], "active_space (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.active_space", false]], "addresses_to_strings() (in module ffsim)": [[0, "ffsim.addresses_to_strings", false]], "alpha (ffsim.spin attribute)": [[0, "ffsim.Spin.ALPHA", false]], "alpha_and_beta (ffsim.spin attribute)": [[0, "ffsim.Spin.ALPHA_AND_BETA", false]], "apply_diag_coulomb_evolution() (in module ffsim)": [[0, "ffsim.apply_diag_coulomb_evolution", false]], "apply_fsim_gate() (in module ffsim)": [[0, "ffsim.apply_fsim_gate", false]], "apply_fswap_gate() (in module ffsim)": [[0, "ffsim.apply_fswap_gate", false]], "apply_givens_rotation() (in module ffsim)": [[0, "ffsim.apply_givens_rotation", false]], "apply_hop_gate() (in module ffsim)": [[0, "ffsim.apply_hop_gate", false]], "apply_matrix_to_slices() (in module ffsim.linalg)": [[2, "ffsim.linalg.apply_matrix_to_slices", false]], "apply_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_interaction", false]], "apply_num_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_num_interaction", false]], "apply_num_op_prod_interaction() (in module ffsim)": [[0, "ffsim.apply_num_op_prod_interaction", false]], "apply_num_op_sum_evolution() (in module ffsim)": [[0, "ffsim.apply_num_op_sum_evolution", false]], "apply_on_site_interaction() (in module ffsim)": [[0, "ffsim.apply_on_site_interaction", false]], "apply_orbital_rotation() (in module ffsim)": [[0, "ffsim.apply_orbital_rotation", false]], "apply_tunneling_interaction() (in module ffsim)": [[0, "ffsim.apply_tunneling_interaction", false]], "apply_unitary() (in module ffsim)": [[0, "ffsim.apply_unitary", false]], "approx_eq() (in module ffsim)": [[0, "ffsim.approx_eq", false]], "assert_allclose_up_to_global_phase() (in module ffsim.testing)": [[6, "ffsim.testing.assert_allclose_up_to_global_phase", false]], "atom (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.atom", false]], "basis (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.basis", false]], "beta (ffsim.spin attribute)": [[0, "ffsim.Spin.BETA", false]], "bit_array (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.BIT_ARRAY", false]], "bitstringtype (class in ffsim)": [[0, "ffsim.BitstringType", false]], "c (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.c", false]], "ccsd_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_energy", false]], "ccsd_t1 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_t1", false]], "ccsd_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_t2", false]], "cisd_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_energy", false]], "cisd_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_vec", false]], "coeffs (ffsim.productstatesum attribute)": [[0, "ffsim.ProductStateSum.coeffs", false]], "conserves_particle_number() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_particle_number", false]], "conserves_spin_z() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_spin_z", false]], "constant (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.constant", false]], "constant (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.constant", false]], "constant (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.constant", false]], "constant (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.constant", false]], "contract_diag_coulomb() (in module ffsim.contract)": [[1, "ffsim.contract.contract_diag_coulomb", false]], "contract_num_op_sum() (in module ffsim.contract)": [[1, "ffsim.contract.contract_num_op_sum", false]], "contract_one_body() (in module ffsim.contract)": [[1, "ffsim.contract.contract_one_body", false]], "core_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.core_energy", false]], "cre() (in module ffsim)": [[0, "ffsim.cre", false]], "cre_a() (in module ffsim)": [[0, "ffsim.cre_a", false]], "cre_b() (in module ffsim)": [[0, "ffsim.cre_b", false]], "des() (in module ffsim)": [[0, "ffsim.des", false]], "des_a() (in module ffsim)": [[0, "ffsim.des_a", false]], "des_b() (in module ffsim)": [[0, "ffsim.des_b", false]], "diag() (in module ffsim)": [[0, "ffsim.diag", false]], "diag_coulomb_linop() (in module ffsim.contract)": [[1, "ffsim.contract.diag_coulomb_linop", false]], "diag_coulomb_mats (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.diag_coulomb_mats", false]], "diagcoulombevolutionjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW", false]], "diagcoulombevolutionspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW", false]], "diagonalcoulombhamiltonian (class in ffsim)": [[0, "ffsim.DiagonalCoulombHamiltonian", false]], "dim() (in module ffsim)": [[0, "ffsim.dim", false]], "dims() (in module ffsim)": [[0, "ffsim.dims", false]], "dipole_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.dipole_integrals", false]], "double_factorized() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized", false]], "double_factorized_t2() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized_t2", false]], "double_factorized_t2_alpha_beta() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized_t2_alpha_beta", false]], "doublefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.DoubleFactorizedHamiltonian", false]], "dropnegligible (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DropNegligible", false]], "expectation_one_body_power() (in module ffsim)": [[0, "ffsim.expectation_one_body_power", false]], "expectation_one_body_product() (in module ffsim)": [[0, "ffsim.expectation_one_body_product", false]], "expectation_product_state() (ffsim.singlefactorizedhamiltonian method)": [[0, "ffsim.SingleFactorizedHamiltonian.expectation_product_state", false]], "expm_multiply_taylor() (in module ffsim.linalg)": [[2, "ffsim.linalg.expm_multiply_taylor", false]], "fci_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.fci_energy", false]], "fci_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.fci_vec", false]], "fermi_hubbard_1d() (in module ffsim)": [[0, "ffsim.fermi_hubbard_1d", false]], "fermi_hubbard_2d() (in module ffsim)": [[0, "ffsim.fermi_hubbard_2d", false]], "fermion_operator() (in module ffsim)": [[0, "ffsim.fermion_operator", false]], "fermionaction (class in ffsim)": [[0, "ffsim.FermionAction", false]], "fermionoperator (class in ffsim)": [[0, "ffsim.FermionOperator", false]], "ffsim": [[0, "module-ffsim", false]], "ffsim.contract": [[1, "module-ffsim.contract", false]], "ffsim.linalg": [[2, "module-ffsim.linalg", false]], "ffsim.optimize": [[3, "module-ffsim.optimize", false]], "ffsim.qiskit": [[4, "module-ffsim.qiskit", false]], "ffsim.random": [[5, "module-ffsim.random", false]], "ffsim.testing": [[6, "module-ffsim.testing", false]], "ffsim_vec_to_qiskit_vec() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.ffsim_vec_to_qiskit_vec", false]], "ffsimsampler (class in ffsim.qiskit)": [[4, "ffsim.qiskit.FfsimSampler", false]], "final_orbital_rotation (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.final_orbital_rotation", false]], "final_state_vector() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.final_state_vector", false]], "from_diag_coulomb_mats() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.from_diag_coulomb_mats", false]], "from_fcidump() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_fcidump", false]], "from_fermion_operator() (ffsim.diagonalcoulombhamiltonian static method)": [[0, "ffsim.DiagonalCoulombHamiltonian.from_fermion_operator", false]], "from_json() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_json", false]], "from_molecular_hamiltonian() (ffsim.doublefactorizedhamiltonian static method)": [[0, "ffsim.DoubleFactorizedHamiltonian.from_molecular_hamiltonian", false]], "from_molecular_hamiltonian() (ffsim.singlefactorizedhamiltonian static method)": [[0, "ffsim.SingleFactorizedHamiltonian.from_molecular_hamiltonian", false]], "from_orbital_rotation() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.from_orbital_rotation", false]], "from_parameters() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.from_parameters", false]], "from_parameters() (ffsim.hopgateansatzoperator static method)": [[0, "ffsim.HopGateAnsatzOperator.from_parameters", false]], "from_parameters() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.from_parameters", false]], "from_parameters() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_parameters", false]], "from_parameters() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_parameters", false]], "from_scf() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_scf", false]], "from_t_amplitudes() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_t_amplitudes", false]], "generate_norb_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec", false]], "generate_norb_nelec_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec_spin", false]], "generate_norb_nocc() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nocc", false]], "generate_norb_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_spin", false]], "givens_decomposition() (in module ffsim.linalg)": [[2, "ffsim.linalg.givens_decomposition", false]], "givensansatzop (class in ffsim)": [[0, "ffsim.GivensAnsatzOp", false]], "givensansatzopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpJW", false]], "givensansatzopspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpSpinlessJW", false]], "givensrotation (class in ffsim.linalg)": [[2, "ffsim.linalg.GivensRotation", false]], "hamiltonian (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.hamiltonian", false]], "hartree_fock_state() (in module ffsim)": [[0, "ffsim.hartree_fock_state", false]], "hf_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_energy", false]], "hf_mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_coeff", false]], "hf_mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_occ", false]], "hopgateansatzoperator (class in ffsim)": [[0, "ffsim.HopGateAnsatzOperator", false]], "i (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.i", false]], "init_cache() (in module ffsim)": [[0, "ffsim.init_cache", false]], "int (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.INT", false]], "interaction_pairs (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.interaction_pairs", false]], "interaction_pairs (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.interaction_pairs", false]], "interaction_pairs (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.interaction_pairs", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionspinlessjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.inverse", false]], "is_antihermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_antihermitian", false]], "is_hermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_hermitian", false]], "is_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_orthogonal", false]], "is_real_symmetric() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_real_symmetric", false]], "is_special_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_special_orthogonal", false]], "is_unitary() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_unitary", false]], "j (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.j", false]], "jordan_wigner() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.jordan_wigner", false]], "linear_operator() (in module ffsim)": [[0, "ffsim.linear_operator", false]], "lup() (in module ffsim.linalg)": [[2, "ffsim.linalg.lup", false]], "many_body_order() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.many_body_order", false]], "match_global_phase() (in module ffsim.linalg)": [[2, "ffsim.linalg.match_global_phase", false]], "mergeorbitalrotations (class in ffsim.qiskit)": [[4, "ffsim.qiskit.MergeOrbitalRotations", false]], "minimize_linear_method() (in module ffsim.optimize)": [[3, "ffsim.optimize.minimize_linear_method", false]], "mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_coeff", false]], "mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_occ", false]], "modified_cholesky() (in module ffsim.linalg)": [[2, "ffsim.linalg.modified_cholesky", false]], "module": [[0, "module-ffsim", false], [1, "module-ffsim.contract", false], [2, "module-ffsim.linalg", false], [3, "module-ffsim.optimize", false], [4, "module-ffsim.qiskit", false], [5, "module-ffsim.random", false], [6, "module-ffsim.testing", false]], "mole (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.mole", false]], "moleculardata (class in ffsim)": [[0, "ffsim.MolecularData", false]], "molecularhamiltonian (class in ffsim)": [[0, "ffsim.MolecularHamiltonian", false]], "mp2_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_energy", false]], "mp2_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_t2", false]], "multireference_state() (in module ffsim)": [[0, "ffsim.multireference_state", false]], "multireference_state_prod() (in module ffsim)": [[0, "ffsim.multireference_state_prod", false]], "n_params() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.n_params", false]], "n_params() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.n_params", false]], "n_params() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.n_params", false]], "n_params() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.n_params", false]], "n_params() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.n_params", false]], "n_params() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.n_params", false]], "n_reps (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.n_reps", false]], "n_reps (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.n_reps", false]], "n_reps (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.n_reps", false]], "nelec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.nelec", false]], "nelec (ffsim.statevector attribute)": [[0, "ffsim.StateVector.nelec", false]], "norb (ffsim.diagonalcoulombhamiltonian property)": [[0, "ffsim.DiagonalCoulombHamiltonian.norb", false]], "norb (ffsim.doublefactorizedhamiltonian property)": [[0, "ffsim.DoubleFactorizedHamiltonian.norb", false]], "norb (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.norb", false]], "norb (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.norb", false]], "norb (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.norb", false]], "norb (ffsim.molecularhamiltonian property)": [[0, "ffsim.MolecularHamiltonian.norb", false]], "norb (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.norb", false]], "norb (ffsim.singlefactorizedhamiltonian property)": [[0, "ffsim.SingleFactorizedHamiltonian.norb", false]], "norb (ffsim.statevector attribute)": [[0, "ffsim.StateVector.norb", false]], "norb (ffsim.uccsdoprestrictedreal property)": [[0, "ffsim.UCCSDOpRestrictedReal.norb", false]], "norb (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.norb", false]], "norb (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.norb", false]], "norb (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.norb", false]], "normal_ordered() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.normal_ordered", false]], "num_op_sum_linop() (in module ffsim.contract)": [[1, "ffsim.contract.num_op_sum_linop", false]], "number_operator() (in module ffsim)": [[0, "ffsim.number_operator", false]], "numnumansatzopspinbalanced (class in ffsim)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced", false]], "numnumansatzopspinbalancedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW", false]], "numopsumevolutionjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW", false]], "numopsumevolutionspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW", false]], "one_body_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.one_body_integrals", false]], "one_body_linop() (in module ffsim.contract)": [[1, "ffsim.contract.one_body_linop", false]], "one_body_squares (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_squares", false]], "one_body_tensor (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_tensor", false]], "one_hot() (in module ffsim.linalg)": [[2, "ffsim.linalg.one_hot", false]], "orb (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.orb", false]], "orbital_rotations (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.orbital_rotations", false]], "orbital_symmetries (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.orbital_symmetries", false]], "orbitalrotationjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationJW", false]], "orbitalrotationspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW", false]], "phase_angles (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phase_angles", false]], "phis (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phis", false]], "pre_init (in module ffsim.qiskit)": [[4, "ffsim.qiskit.PRE_INIT", false]], "pre_init_passes() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.pre_init_passes", false]], "preparehartreefockjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockJW", false]], "preparehartreefockspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockSpinlessJW", false]], "prepareslaterdeterminantjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantJW", false]], "prepareslaterdeterminantspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW", false]], "productstatesum (class in ffsim)": [[0, "ffsim.ProductStateSum", false]], "qiskit_vec_to_ffsim_vec() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.qiskit_vec_to_ffsim_vec", false]], "random_antihermitian() (in module ffsim.random)": [[5, "ffsim.random.random_antihermitian", false]], "random_density_matrix() (in module ffsim.random)": [[5, "ffsim.random.random_density_matrix", false]], "random_diagonal_coulomb_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_diagonal_coulomb_hamiltonian", false]], "random_double_factorized_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_double_factorized_hamiltonian", false]], "random_fermion_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_hamiltonian", false]], "random_fermion_operator() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_operator", false]], "random_hermitian() (in module ffsim.random)": [[5, "ffsim.random.random_hermitian", false]], "random_molecular_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_molecular_hamiltonian", false]], "random_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.random_nelec", false]], "random_occupied_orbitals() (in module ffsim.testing)": [[6, "ffsim.testing.random_occupied_orbitals", false]], "random_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_orthogonal", false]], "random_real_symmetric_matrix() (in module ffsim.random)": [[5, "ffsim.random.random_real_symmetric_matrix", false]], "random_special_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_special_orthogonal", false]], "random_state_vector() (in module ffsim.random)": [[5, "ffsim.random.random_state_vector", false]], "random_t2_amplitudes() (in module ffsim.random)": [[5, "ffsim.random.random_t2_amplitudes", false]], "random_two_body_tensor() (in module ffsim.random)": [[5, "ffsim.random.random_two_body_tensor", false]], "random_uccsd_restricted() (in module ffsim.random)": [[5, "ffsim.random.random_uccsd_restricted", false]], "random_ucj_op_spin_balanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_balanced", false]], "random_ucj_op_spin_unbalanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_unbalanced", false]], "random_ucj_op_spinless() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spinless", false]], "random_unitary() (in module ffsim.random)": [[5, "ffsim.random.random_unitary", false]], "rdms() (in module ffsim)": [[0, "ffsim.rdms", false]], "reduced_matrix() (in module ffsim.linalg)": [[2, "ffsim.linalg.reduced_matrix", false]], "reduced_matrix_product_states() (ffsim.singlefactorizedhamiltonian method)": [[0, "ffsim.SingleFactorizedHamiltonian.reduced_matrix_product_states", false]], "rotated() (ffsim.molecularhamiltonian method)": [[0, "ffsim.MolecularHamiltonian.rotated", false]], "run() (ffsim.qiskit.dropnegligible method)": [[4, "ffsim.qiskit.DropNegligible.run", false]], "run() (ffsim.qiskit.ffsimsampler method)": [[4, "ffsim.qiskit.FfsimSampler.run", false]], "run() (ffsim.qiskit.mergeorbitalrotations method)": [[4, "ffsim.qiskit.MergeOrbitalRotations.run", false]], "run_ccsd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_ccsd", false]], "run_cisd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_cisd", false]], "run_fci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_fci", false]], "run_mp2() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_mp2", false]], "run_sci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_sci", false]], "s (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.s", false]], "sample_slater_determinant() (in module ffsim)": [[0, "ffsim.sample_slater_determinant", false]], "sample_state_vector() (in module ffsim)": [[0, "ffsim.sample_state_vector", false]], "scf (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.scf", false]], "sci_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_energy", false]], "sci_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_vec", false]], "simulate_qdrift_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_qdrift_double_factorized", false]], "simulate_trotter_diag_coulomb_split_op() (in module ffsim)": [[0, "ffsim.simulate_trotter_diag_coulomb_split_op", false]], "simulate_trotter_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_trotter_double_factorized", false]], "simulatetrotterdiagcoulombsplitopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW", false]], "simulatetrotterdoublefactorizedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW", false]], "singlefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.SingleFactorizedHamiltonian", false]], "slater_determinant() (in module ffsim)": [[0, "ffsim.slater_determinant", false]], "slater_determinant_amplitudes() (in module ffsim)": [[0, "ffsim.slater_determinant_amplitudes", false]], "slater_determinant_rdms() (in module ffsim)": [[0, "ffsim.slater_determinant_rdms", false]], "spin (class in ffsim)": [[0, "ffsim.Spin", false]], "spin (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.spin", false]], "spin (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.spin", false]], "spin_square() (in module ffsim)": [[0, "ffsim.spin_square", false]], "states (ffsim.productstatesum attribute)": [[0, "ffsim.ProductStateSum.states", false]], "statevector (class in ffsim)": [[0, "ffsim.StateVector", false]], "string (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.STRING", false]], "strings_to_addresses() (in module ffsim)": [[0, "ffsim.strings_to_addresses", false]], "supportsapplyunitary (class in ffsim)": [[0, "ffsim.SupportsApplyUnitary", false]], "supportsapproximateequality (class in ffsim)": [[0, "ffsim.SupportsApproximateEquality", false]], "supportsdiagonal (class in ffsim)": [[0, "ffsim.SupportsDiagonal", false]], "supportsfermionoperator (class in ffsim)": [[0, "ffsim.SupportsFermionOperator", false]], "supportslinearoperator (class in ffsim)": [[0, "ffsim.SupportsLinearOperator", false]], "supportstrace (class in ffsim)": [[0, "ffsim.SupportsTrace", false]], "symmetry (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.symmetry", false]], "thetas (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.thetas", false]], "thetas (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.thetas", false]], "thetas (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.thetas", false]], "to_diag_coulomb_mats() (ffsim.numnumansatzopspinbalanced method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.to_diag_coulomb_mats", false]], "to_fcidump() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.to_fcidump", false]], "to_json() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.to_json", false]], "to_molecular_hamiltonian() (ffsim.doublefactorizedhamiltonian method)": [[0, "ffsim.DoubleFactorizedHamiltonian.to_molecular_hamiltonian", false]], "to_number_representation() (ffsim.doublefactorizedhamiltonian method)": [[0, "ffsim.DoubleFactorizedHamiltonian.to_number_representation", false]], "to_orbital_rotation() (ffsim.givensansatzop method)": [[0, "ffsim.GivensAnsatzOp.to_orbital_rotation", false]], "to_parameters() (ffsim.givensansatzop method)": [[0, "ffsim.GivensAnsatzOp.to_parameters", false]], "to_parameters() (ffsim.hopgateansatzoperator method)": [[0, "ffsim.HopGateAnsatzOperator.to_parameters", false]], "to_parameters() (ffsim.numnumansatzopspinbalanced method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.to_parameters", false]], "to_parameters() (ffsim.uccsdoprestrictedreal method)": [[0, "ffsim.UCCSDOpRestrictedReal.to_parameters", false]], "to_parameters() (ffsim.ucjopspinbalanced method)": [[0, "ffsim.UCJOpSpinBalanced.to_parameters", false]], "to_parameters() (ffsim.ucjopspinless method)": [[0, "ffsim.UCJOpSpinless.to_parameters", false]], "to_parameters() (ffsim.ucjopspinunbalanced method)": [[0, "ffsim.UCJOpSpinUnbalanced.to_parameters", false]], "to_z_representation() (ffsim.doublefactorizedhamiltonian method)": [[0, "ffsim.DoubleFactorizedHamiltonian.to_z_representation", false]], "trace() (in module ffsim)": [[0, "ffsim.trace", false]], "two_body_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.two_body_integrals", false]], "two_body_tensor (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.two_body_tensor", false]], "uccsdoprestrictedreal (class in ffsim)": [[0, "ffsim.UCCSDOpRestrictedReal", false]], "ucjopspinbalanced (class in ffsim)": [[0, "ffsim.UCJOpSpinBalanced", false]], "ucjopspinbalancedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.UCJOpSpinBalancedJW", false]], "ucjopspinless (class in ffsim)": [[0, "ffsim.UCJOpSpinless", false]], "ucjopspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.UCJOpSpinlessJW", false]], "ucjopspinunbalanced (class in ffsim)": [[0, "ffsim.UCJOpSpinUnbalanced", false]], "ucjopspinunbalancedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.UCJOpSpinUnbalancedJW", false]], "vec (ffsim.statevector attribute)": [[0, "ffsim.StateVector.vec", false]], "z_representation (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.z_representation", false]]}, "objects": {"": [[0, 0, 0, "-", "ffsim"]], "ffsim": [[0, 1, 1, "", "BitstringType"], [0, 1, 1, "", "DiagonalCoulombHamiltonian"], [0, 1, 1, "", "DoubleFactorizedHamiltonian"], [0, 1, 1, "", "FermionAction"], [0, 1, 1, "", "FermionOperator"], [0, 1, 1, "", "GivensAnsatzOp"], [0, 1, 1, "", "HopGateAnsatzOperator"], [0, 1, 1, "", "MolecularData"], [0, 1, 1, "", "MolecularHamiltonian"], [0, 1, 1, "", "NumNumAnsatzOpSpinBalanced"], [0, 1, 1, "", "ProductStateSum"], [0, 1, 1, "", "SingleFactorizedHamiltonian"], [0, 1, 1, "", "Spin"], [0, 1, 1, "", "StateVector"], [0, 1, 1, "", "SupportsApplyUnitary"], [0, 1, 1, "", "SupportsApproximateEquality"], [0, 1, 1, "", "SupportsDiagonal"], [0, 1, 1, "", "SupportsFermionOperator"], [0, 1, 1, "", "SupportsLinearOperator"], [0, 1, 1, "", "SupportsTrace"], [0, 1, 1, "", "UCCSDOpRestrictedReal"], [0, 1, 1, "", "UCJOpSpinBalanced"], [0, 1, 1, "", "UCJOpSpinUnbalanced"], [0, 1, 1, "", "UCJOpSpinless"], [0, 5, 1, "", "addresses_to_strings"], [0, 5, 1, "", "apply_diag_coulomb_evolution"], [0, 5, 1, "", "apply_fsim_gate"], [0, 5, 1, "", "apply_fswap_gate"], [0, 5, 1, "", "apply_givens_rotation"], [0, 5, 1, "", "apply_hop_gate"], [0, 5, 1, "", "apply_num_interaction"], [0, 5, 1, "", "apply_num_num_interaction"], [0, 5, 1, "", "apply_num_op_prod_interaction"], [0, 5, 1, "", "apply_num_op_sum_evolution"], [0, 5, 1, "", "apply_on_site_interaction"], [0, 5, 1, "", "apply_orbital_rotation"], [0, 5, 1, "", "apply_tunneling_interaction"], [0, 5, 1, "", "apply_unitary"], [0, 5, 1, "", "approx_eq"], [1, 0, 0, "-", "contract"], [0, 5, 1, "", "cre"], [0, 5, 1, "", "cre_a"], [0, 5, 1, "", "cre_b"], [0, 5, 1, "", "des"], [0, 5, 1, "", "des_a"], [0, 5, 1, "", "des_b"], [0, 5, 1, "", "diag"], [0, 5, 1, "", "dim"], [0, 5, 1, "", "dims"], [0, 5, 1, "", "expectation_one_body_power"], [0, 5, 1, "", "expectation_one_body_product"], [0, 5, 1, "", "fermi_hubbard_1d"], [0, 5, 1, "", "fermi_hubbard_2d"], [0, 5, 1, "", "fermion_operator"], [0, 5, 1, "", "hartree_fock_state"], [0, 5, 1, "", "init_cache"], [2, 0, 0, "-", "linalg"], [0, 5, 1, "", "linear_operator"], [0, 5, 1, "", "multireference_state"], [0, 5, 1, "", "multireference_state_prod"], [0, 5, 1, "", "number_operator"], [3, 0, 0, "-", "optimize"], [4, 0, 0, "-", "qiskit"], [5, 0, 0, "-", "random"], [0, 5, 1, "", "rdms"], [0, 5, 1, "", "sample_slater_determinant"], [0, 5, 1, "", "sample_state_vector"], [0, 5, 1, "", "simulate_qdrift_double_factorized"], [0, 5, 1, "", "simulate_trotter_diag_coulomb_split_op"], [0, 5, 1, "", "simulate_trotter_double_factorized"], [0, 5, 1, "", "slater_determinant"], [0, 5, 1, "", "slater_determinant_amplitudes"], [0, 5, 1, "", "slater_determinant_rdms"], [0, 5, 1, "", "spin_square"], [0, 5, 1, "", "strings_to_addresses"], [6, 0, 0, "-", "testing"], [0, 5, 1, "", "trace"]], "ffsim.BitstringType": [[0, 2, 1, "", "BIT_ARRAY"], [0, 2, 1, "", "INT"], [0, 2, 1, "", "STRING"]], "ffsim.DiagonalCoulombHamiltonian": [[0, 2, 1, "", "constant"], [0, 2, 1, "", "diag_coulomb_mats"], [0, 3, 1, "", "from_fermion_operator"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "one_body_tensor"]], "ffsim.DoubleFactorizedHamiltonian": [[0, 2, 1, "", "constant"], [0, 2, 1, "", "diag_coulomb_mats"], [0, 3, 1, "", "from_molecular_hamiltonian"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "one_body_tensor"], [0, 2, 1, "", "orbital_rotations"], [0, 3, 1, "", "to_molecular_hamiltonian"], [0, 3, 1, "", "to_number_representation"], [0, 3, 1, "", "to_z_representation"], [0, 2, 1, "", "z_representation"]], "ffsim.FermionAction": [[0, 2, 1, "", "action"], [0, 2, 1, "", "orb"], [0, 2, 1, "", "spin"]], "ffsim.FermionOperator": [[0, 3, 1, "", "conserves_particle_number"], [0, 3, 1, "", "conserves_spin_z"], [0, 3, 1, "", "many_body_order"], [0, 3, 1, "", "normal_ordered"]], "ffsim.GivensAnsatzOp": [[0, 3, 1, "", "from_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 2, 1, "", "interaction_pairs"], [0, 3, 1, "", "n_params"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "phase_angles"], [0, 2, 1, "", "phis"], [0, 2, 1, "", "thetas"], [0, 3, 1, "", "to_orbital_rotation"], [0, 3, 1, "", "to_parameters"]], "ffsim.HopGateAnsatzOperator": [[0, 2, 1, "", "final_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 2, 1, "", "interaction_pairs"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "thetas"], [0, 3, 1, "", "to_parameters"]], "ffsim.MolecularData": [[0, 2, 1, "", "active_space"], [0, 2, 1, "", "atom"], [0, 2, 1, "", "basis"], [0, 2, 1, "", "ccsd_energy"], [0, 2, 1, "", "ccsd_t1"], [0, 2, 1, "", "ccsd_t2"], [0, 2, 1, "", "cisd_energy"], [0, 2, 1, "", "cisd_vec"], [0, 2, 1, "", "core_energy"], [0, 2, 1, "", "dipole_integrals"], [0, 2, 1, "", "fci_energy"], [0, 2, 1, "", "fci_vec"], [0, 3, 1, "", "from_fcidump"], [0, 3, 1, "", "from_json"], [0, 3, 1, "", "from_scf"], [0, 4, 1, "", "hamiltonian"], [0, 2, 1, "", "hf_energy"], [0, 2, 1, "", "hf_mo_coeff"], [0, 2, 1, "", "hf_mo_occ"], [0, 2, 1, "", "mo_coeff"], [0, 2, 1, "", "mo_occ"], [0, 4, 1, "", "mole"], [0, 2, 1, "", "mp2_energy"], [0, 2, 1, "", "mp2_t2"], [0, 2, 1, "", "nelec"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "one_body_integrals"], [0, 2, 1, "", "orbital_symmetries"], [0, 3, 1, "", "run_ccsd"], [0, 3, 1, "", "run_cisd"], [0, 3, 1, "", "run_fci"], [0, 3, 1, "", "run_mp2"], [0, 3, 1, "", "run_sci"], [0, 4, 1, "", "scf"], [0, 2, 1, "", "sci_energy"], [0, 2, 1, "", "sci_vec"], [0, 2, 1, "", "spin"], [0, 2, 1, "", "symmetry"], [0, 3, 1, "", "to_fcidump"], [0, 3, 1, "", "to_json"], [0, 2, 1, "", "two_body_integrals"]], "ffsim.MolecularHamiltonian": [[0, 2, 1, "", "constant"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "one_body_tensor"], [0, 3, 1, "", "rotated"], [0, 2, 1, "", "two_body_tensor"]], "ffsim.NumNumAnsatzOpSpinBalanced": [[0, 3, 1, "", "from_diag_coulomb_mats"], [0, 3, 1, "", "from_parameters"], [0, 2, 1, "", "interaction_pairs"], [0, 3, 1, "", "n_params"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "thetas"], [0, 3, 1, "", "to_diag_coulomb_mats"], [0, 3, 1, "", "to_parameters"]], "ffsim.ProductStateSum": [[0, 2, 1, "", "coeffs"], [0, 2, 1, "", "states"]], "ffsim.SingleFactorizedHamiltonian": [[0, 2, 1, "", "constant"], [0, 3, 1, "", "expectation_product_state"], [0, 3, 1, "", "from_molecular_hamiltonian"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "one_body_squares"], [0, 2, 1, "", "one_body_tensor"], [0, 3, 1, "", "reduced_matrix_product_states"]], "ffsim.Spin": [[0, 2, 1, "", "ALPHA"], [0, 2, 1, "", "ALPHA_AND_BETA"], [0, 2, 1, "", "BETA"]], "ffsim.StateVector": [[0, 2, 1, "", "nelec"], [0, 2, 1, "", "norb"], [0, 2, 1, "", "vec"]], "ffsim.UCCSDOpRestrictedReal": [[0, 3, 1, "", "from_parameters"], [0, 3, 1, "", "n_params"], [0, 4, 1, "", "norb"], [0, 3, 1, "", "to_parameters"]], "ffsim.UCJOpSpinBalanced": [[0, 2, 1, "", "diag_coulomb_mats"], [0, 2, 1, "", "final_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 3, 1, "", "from_t_amplitudes"], [0, 3, 1, "", "n_params"], [0, 4, 1, "", "n_reps"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "orbital_rotations"], [0, 3, 1, "", "to_parameters"]], "ffsim.UCJOpSpinUnbalanced": [[0, 2, 1, "", "diag_coulomb_mats"], [0, 2, 1, "", "final_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 3, 1, "", "from_t_amplitudes"], [0, 3, 1, "", "n_params"], [0, 4, 1, "", "n_reps"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "orbital_rotations"], [0, 3, 1, "", "to_parameters"]], "ffsim.UCJOpSpinless": [[0, 2, 1, "", "diag_coulomb_mats"], [0, 2, 1, "", "final_orbital_rotation"], [0, 3, 1, "", "from_parameters"], [0, 3, 1, "", "from_t_amplitudes"], [0, 3, 1, "", "n_params"], [0, 4, 1, "", "n_reps"], [0, 4, 1, "", "norb"], [0, 2, 1, "", "orbital_rotations"], [0, 3, 1, "", "to_parameters"]], "ffsim.contract": [[1, 5, 1, "", "contract_diag_coulomb"], [1, 5, 1, "", "contract_num_op_sum"], [1, 5, 1, "", "contract_one_body"], [1, 5, 1, "", "diag_coulomb_linop"], [1, 5, 1, "", "num_op_sum_linop"], [1, 5, 1, "", "one_body_linop"]], "ffsim.linalg": [[2, 1, 1, "", "GivensRotation"], [2, 5, 1, "", "apply_matrix_to_slices"], [2, 5, 1, "", "double_factorized"], [2, 5, 1, "", "double_factorized_t2"], [2, 5, 1, "", "double_factorized_t2_alpha_beta"], [2, 5, 1, "", "expm_multiply_taylor"], [2, 5, 1, "", "givens_decomposition"], [2, 5, 1, "", "is_antihermitian"], [2, 5, 1, "", "is_hermitian"], [2, 5, 1, "", "is_orthogonal"], [2, 5, 1, "", "is_real_symmetric"], [2, 5, 1, "", "is_special_orthogonal"], [2, 5, 1, "", "is_unitary"], [2, 5, 1, "", "lup"], [2, 5, 1, "", "match_global_phase"], [2, 5, 1, "", "modified_cholesky"], [2, 5, 1, "", "one_hot"], [2, 5, 1, "", "reduced_matrix"]], "ffsim.linalg.GivensRotation": [[2, 2, 1, "", "c"], [2, 2, 1, "", "i"], [2, 2, 1, "", "j"], [2, 2, 1, "", "s"]], "ffsim.optimize": [[3, 5, 1, "", "minimize_linear_method"]], "ffsim.qiskit": [[4, 1, 1, "", "DiagCoulombEvolutionJW"], [4, 1, 1, "", "DiagCoulombEvolutionSpinlessJW"], [4, 1, 1, "", "DropNegligible"], [4, 1, 1, "", "FfsimSampler"], [4, 1, 1, "", "GivensAnsatzOpJW"], [4, 1, 1, "", "GivensAnsatzOpSpinlessJW"], [4, 1, 1, "", "MergeOrbitalRotations"], [4, 1, 1, "", "NumNumAnsatzOpSpinBalancedJW"], [4, 1, 1, "", "NumOpSumEvolutionJW"], [4, 1, 1, "", "NumOpSumEvolutionSpinlessJW"], [4, 1, 1, "", "OrbitalRotationJW"], [4, 1, 1, "", "OrbitalRotationSpinlessJW"], [4, 6, 1, "", "PRE_INIT"], [4, 1, 1, "", "PrepareHartreeFockJW"], [4, 1, 1, "", "PrepareHartreeFockSpinlessJW"], [4, 1, 1, "", "PrepareSlaterDeterminantJW"], [4, 1, 1, "", "PrepareSlaterDeterminantSpinlessJW"], [4, 1, 1, "", "SimulateTrotterDiagCoulombSplitOpJW"], [4, 1, 1, "", "SimulateTrotterDoubleFactorizedJW"], [4, 1, 1, "", "UCJOpSpinBalancedJW"], [4, 1, 1, "", "UCJOpSpinUnbalancedJW"], [4, 1, 1, "", "UCJOpSpinlessJW"], [4, 5, 1, "", "ffsim_vec_to_qiskit_vec"], [4, 5, 1, "", "final_state_vector"], [4, 5, 1, "", "jordan_wigner"], [4, 5, 1, "", "pre_init_passes"], [4, 5, 1, "", "qiskit_vec_to_ffsim_vec"]], "ffsim.qiskit.DiagCoulombEvolutionJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.DropNegligible": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "run"]], "ffsim.qiskit.FfsimSampler": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "run"]], "ffsim.qiskit.GivensAnsatzOpJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.GivensAnsatzOpSpinlessJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.MergeOrbitalRotations": [[4, 3, 1, "", "run"]], "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.NumOpSumEvolutionJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.NumOpSumEvolutionSpinlessJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.OrbitalRotationJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.OrbitalRotationSpinlessJW": [[4, 3, 1, "", "__init__"], [4, 3, 1, "", "inverse"]], "ffsim.qiskit.PrepareHartreeFockJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.PrepareHartreeFockSpinlessJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.PrepareSlaterDeterminantJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.UCJOpSpinBalancedJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.UCJOpSpinUnbalancedJW": [[4, 3, 1, "", "__init__"]], "ffsim.qiskit.UCJOpSpinlessJW": [[4, 3, 1, "", "__init__"]], "ffsim.random": [[5, 5, 1, "", "random_antihermitian"], [5, 5, 1, "", "random_density_matrix"], [5, 5, 1, "", "random_diagonal_coulomb_hamiltonian"], [5, 5, 1, "", "random_double_factorized_hamiltonian"], [5, 5, 1, "", "random_fermion_hamiltonian"], [5, 5, 1, "", "random_fermion_operator"], [5, 5, 1, "", "random_hermitian"], [5, 5, 1, "", "random_molecular_hamiltonian"], [5, 5, 1, "", "random_orthogonal"], [5, 5, 1, "", "random_real_symmetric_matrix"], [5, 5, 1, "", "random_special_orthogonal"], [5, 5, 1, "", "random_state_vector"], [5, 5, 1, "", "random_t2_amplitudes"], [5, 5, 1, "", "random_two_body_tensor"], [5, 5, 1, "", "random_uccsd_restricted"], [5, 5, 1, "", "random_ucj_op_spin_balanced"], [5, 5, 1, "", "random_ucj_op_spin_unbalanced"], [5, 5, 1, "", "random_ucj_op_spinless"], [5, 5, 1, "", "random_unitary"]], "ffsim.testing": [[6, 5, 1, "", "assert_allclose_up_to_global_phase"], [6, 5, 1, "", "generate_norb_nelec"], [6, 5, 1, "", "generate_norb_nelec_spin"], [6, 5, 1, "", "generate_norb_nocc"], [6, 5, 1, "", "generate_norb_spin"], [6, 5, 1, "", "random_nelec"], [6, 5, 1, "", "random_occupied_orbitals"]]}, "objnames": {"0": ["py", "module", "Python module"], "1": ["py", "class", "Python class"], "2": ["py", "attribute", "Python attribute"], "3": ["py", "method", "Python method"], "4": ["py", "property", "Python property"], "5": ["py", "function", "Python function"], "6": ["py", "data", "Python data"]}, "objtypes": {"0": "py:module", "1": "py:class", "2": "py:attribute", "3": "py:method", "4": "py:property", "5": "py:function", "6": "py:data"}, "terms": {"": [0, 2, 4, 8, 9, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23], "0": [0, 2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 15, 16, 18, 19, 20, 21, 23], "00": 18, "000": 20, "0000000": [15, 18], "0000000000011100000000000111": 20, "0000000000011100000000011100": 20, "0000000000011100100000001100": 20, "0000000000110100000000010110": 20, "0000000000111000000000001110": 20, "0000000001010100000000010101": 20, "0000000001011000000000001101": 20, "0000000001011000000000010110": 20, "0000000001110000000000000111": 20, "0000000111100000011111": 20, "0000000111100110000111": 20, "0000010101100001011011": 20, "0000010110100001011011": 20, "0000100101100000111011": 20, "0000100110100000111011": 20, "0000111100001111": 20, "0000111100011011": 20, "0000111100011101": 20, "0000111100101011": 20, "0001": 3, "0001000001010000000000000111": 20, "00010311164011631924": 18, "0001110100001111": 20, "000e": 18, "0010011100101101": 20, "0010101100001111": 20, "0010101100101101": 20, "001011": [0, 14], "0010110100100111": 20, "0010110100101011": 20, "001101": [0, 14], "001110": 14, "0011342252364610983": 18, "0019097937737423828": 18, "003048628566278581": 18, "004681491680754198": 18, "005e": 15, "00918165j": 16, "01": [15, 18], "0100000110100100001111": 20, "010011": [0, 14], "0101": 0, "0101000001100000011111": 20, "010101": [0, 14], "010110": [0, 14], "0110": 0, "02": [15, 18], "02122442107773": 18, "02242": 2, "02459434j": 14, "02625": 2, "02998708j": 14, "03": 15, "03101213j": 14, "03525116j": 14, "03668541730983488": 23, "04": [15, 18], "04758323886585516": 18, "05": [0, 2, 3, 4, 18], "05395": 4, "06": 18, "0609050": 5, "0625": [0, 16], "06273307": 14, "06551571": 14, "06677383j": 14, "06844774j": 14, "07": [6, 18], "07897558": 16, "08": [0, 2, 3, 4], "08957": 2, "0909": 5, "09723851": 14, "0b001011": 0, "0b010101": 0, "0b010110": 0, "0b100101": 0, "0b100110": 0, "0j": 16, "0x7ff8b48be170": 19, "0x7ff8b48befb0": 19, "0x7ff8b50078b0": 19, "0x7ff8b5007bb0": 19, "0x7ff8b502d660": 19, "0x7ff8b502d7b0": 19, "0x7ff8b519f850": 19, "0x7ff8b531fe50": 19, "1": [0, 2, 3, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23], "10": [13, 18, 19, 20, 23], "100": 15, "1000": 3, "1000000101100000111011": 20, "100011": [0, 14], "100101": [0, 14], "100110": [0, 14], "101": 20, "1024": 4, "104": [15, 21], "1077416832347316": 20, "108": [20, 23], "10_000": 20, "11": [0, 13, 19, 20, 23], "1102529j": 14, "11157654": 14, "112": 15, "12": [2, 13, 15, 16, 18, 23], "1207": 0, "12204343": 14, "1234": [9, 13, 14, 15, 19, 21], "12345": 20, "125": [0, 16], "1278053627110059": 20, "1294": [15, 18], "12j": 16, "13": [0, 13, 18, 23], "13113848": 14, "132e": 15, "133": 20, "13327423j": 14, "13957088j": 14, "14": [13, 20], "15": [13, 15], "151e": 18, "152e": 18, "153e": 18, "1561685j": 14, "15624569": 14, "15828306": 14, "15x15": 15, "16": 13, "165e": 15, "17": 13, "1711": [2, 4], "17181289596": 21, "17276745j": 14, "17558331": 14, "18": 13, "180": 15, "18007105": 14, "1808": 2, "18j": 16, "19": 0, "1e": [0, 2, 3, 4, 6, 15, 23], "1j": [0, 9, 16, 23], "2": [0, 1, 2, 4, 5, 8, 9, 11, 13, 14, 15, 16, 18, 19, 20, 23], "20835741": 14, "20881506": 14, "21": 0, "210": 20, "2104": 2, "2190712273": 9, "21928194": 14, "21984743e": 16, "22392824": 14, "227e": 18, "23": 15, "23550198": 14, "23611476": 14, "24": [13, 19], "25": [0, 16], "25j": [0, 16], "26": 23, "26121865": 14, "271e": 18, "2775334823866314e": 18, "286e": 18, "29821173j": 14, "2d": 0, "2j": [0, 2, 16], "2n": 14, "3": [0, 2, 5, 9, 11, 13, 14, 15, 16, 18, 19, 20, 23], "30052742j": 14, "31980058j": 14, "31g": [20, 21], "32": [13, 19], "329": 18, "33731417j": 14, "339": 18, "3484557078781": 20, "35": [0, 23], "36730125j": 14, "3714141": 14, "38435478j": 14, "39": [13, 14, 15, 16, 18, 19, 20], "39075171": 14, "393": 18, "3j": 16, "4": [0, 2, 8, 9, 13, 14, 15, 16, 18, 19, 20, 21, 23], "405e": 15, "417e": 15, "421e": 18, "4390672": 14, "452e": 18, "45619739111282": 20, "46": 18, "464957764796": 23, "46x46": 18, "47": 20, "478": 15, "48": [13, 20], "49094286j": 14, "4j": 16, "5": [0, 3, 9, 13, 14, 15, 16, 18, 19, 20, 23], "5094": 5, "51253171j": 14, "520e": 18, "524e": 18, "532e": 18, "5571707255161": 9, "56": [13, 19, 20], "561e": 18, "5626": 18, "562e": 18, "57": 20, "577": 18, "58888": 22, "5j": [0, 16], "6": [0, 9, 13, 14, 15, 16, 19, 20, 21, 23], "603e": 15, "606e": 18, "6083": 0, "6332495815006": 15, "64": 14, "65": 20, "66": 20, "666e": 18, "67794403659725": 15, "6787887956297": 15, "6787887956314": 15, "68381570802092": 15, "684e": 18, "6g": [0, 15, 18, 23], "6j": 16, "7": [0, 9, 13, 14, 15, 16, 18, 19, 20, 23], "70": 20, "72": 18, "7288249991515": 15, "72x72": 18, "73105542j": 14, "736e": 18, "746e": 15, "748e": 15, "75": [15, 20], "77": 18, "8": [0, 13, 15, 16, 19, 20, 23], "8266321248744": 18, "8266321248745": 18, "832e": 18, "835236570774": 20, "835e": 18, "842e": 18, "87160024816322": 18, "8736283232542": 18, "87363426110551": 18, "87363426424223": 18, "87363433758041": 18, "87387392050736": 18, "87421536374032": 18, "8742165643863": 18, "9": [13, 14, 16, 18, 19, 23], "9289": 18, "9402435115134801": 23, "949": 18, "958": 15, "9630419334855": 20, "9801535566741463": 18, "9802467636577891": 18, "9833189070064106": 18, "99": 9, "9924": 20, "9985212854198383": 23, "9985212854198805": 23, "9991": 20, "9996731164187923": 23, "A": [0, 1, 2, 3, 4, 5, 6, 8, 12, 13, 14, 16, 22, 23], "AND": 15, "As": [11, 13, 14, 18, 19, 23], "By": 21, "For": [0, 3, 4, 5, 8, 9, 11, 14, 15, 16, 22, 23], "If": [0, 1, 2, 3, 4, 5, 6, 13, 16], "In": [0, 8, 9, 11, 13, 14, 15, 16, 18, 19, 20, 23], "It": [0, 2, 3, 4, 13, 14, 16, 18, 20, 22], "Its": [3, 4], "NO": [15, 18], "No": 2, "Of": 11, "On": [14, 22], "One": [0, 23], "Such": 16, "That": [0, 3, 12, 16], "The": [0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23], "Their": 19, "Then": [0, 13], "There": 13, "These": [0, 5, 11, 16, 19], "To": [0, 8, 9, 11, 14, 18, 23], "With": [11, 14, 23], "_": [0, 1, 2, 4, 8, 11, 12, 15, 23], "_1": 12, "_2": 12, "__init__": 4, "_factr": 18, "_i": [0, 4], "_k": [0, 8, 11], "_nestedsequ": 4, "_supportsarrai": 4, "a_": [0, 4, 8, 9, 12, 16], "a_j": 1, "a_p": 0, "a_q": 0, "ab": [0, 23], "abil": 8, "abl": 22, "about": 21, "abov": [13, 16], "absenc": [0, 1, 4], "absolut": [0, 2, 4, 6], "acceler": 22, "accept": [12, 18], "access": [0, 9, 22], "accommod": 4, "accomod": 8, "accur": 8, "achiev": [2, 23], "across": 22, "act": [0, 2, 4, 9, 13, 15, 16], "action": [0, 1, 12, 16, 22, 23], "activ": [0, 15, 18, 20, 23], "active_spac": [0, 15, 18, 20, 21, 23], "actual": [6, 11], "ad": [0, 13, 18], "add": [13, 18], "addit": [0, 8, 16, 23], "addition": 2, "address": [0, 13], "addresses_to_str": [0, 7, 14], "adjac": 13, "advantag": 18, "after": [3, 18], "al": 2, "algebra": [2, 9, 16], "algorithm": [0, 2, 3, 18, 21], "alia": [0, 2], "align": [0, 11, 12], "all": [0, 1, 2, 3, 4, 6, 11, 13, 16, 20, 22], "alloc": 0, "allow": [0, 2, 5, 11, 13, 18, 22, 23], "along": 0, "alpha": [0, 1, 2, 4, 5, 6, 9, 11, 13, 14, 15, 16, 19, 20], "alpha_and_beta": 0, "alpha_i": 0, "alpha_j": 0, "alreadi": [0, 4, 12], "also": [0, 2, 3, 5, 9, 12, 14, 16, 18, 23], "altern": [0, 8], "alwai": [0, 2, 5, 12, 14, 23], "amen": 13, "amplitud": [0, 2, 5, 18, 20], "an": [0, 1, 2, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 21, 23], "angl": 0, "ani": [0, 3, 4, 5, 11, 12, 19, 20], "annihil": [0, 16], "anoth": [2, 6], "ansatz": [0, 3, 4, 5, 10, 13, 17, 19, 20, 21], "ansatz_oper": 0, "ansatz_st": 18, "anti": [2, 5], "anticommut": 12, "ao": 0, "ap": 2, "api": [14, 21], "appear": [0, 2, 13, 16, 20], "append": [0, 6, 13, 18, 19, 20], "appli": [0, 1, 2, 3, 4, 9, 11, 12, 13, 14, 18, 19, 20, 21, 23], "applic": 12, "apply_": 14, "apply_diag_coulomb_evolut": [0, 7, 8, 23], "apply_fsim_g": [0, 7], "apply_fswap_g": [0, 7], "apply_givens_rot": [0, 7], "apply_hop_g": [0, 7], "apply_matrix_to_slic": [2, 7], "apply_num_interact": [0, 7], "apply_num_num_interact": [0, 7], "apply_num_op_prod_interact": [0, 7], "apply_num_op_sum_evolut": [0, 7, 12, 23], "apply_on_site_interact": [0, 7, 14], "apply_orbital_rot": [0, 7, 12, 14, 21], "apply_quad_ham_evolut": 12, "apply_tunneling_interact": [0, 7, 14], "apply_unitari": [0, 7, 18], "appropri": [0, 11], "approx": 8, "approx_eq": [0, 7], "approxim": [0, 2, 3, 8, 18, 23], "apt": 22, "ar": [0, 1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 14, 16, 19, 20, 22], "arbitrari": [4, 20], "arch": 22, "arg": [0, 4], "argument": [0, 2, 3, 8, 9, 12, 14, 23], "aris": 8, "arithmet": 16, "around": 23, "arrai": [0, 1, 2, 4, 6, 9, 11, 14, 16], "arxiv": [0, 2, 4, 5], "ascend": 20, "assembl": 2, "assert": 14, "assert_allclose_up_to_global_phas": [6, 7], "assertionerror": 6, "associ": [0, 3, 14, 16, 18], "assum": [0, 4, 14], "asterisk": 0, "asymmetr": 8, "atol": [0, 2, 4, 6], "atom": [0, 15, 18, 20, 21, 23], "attempt": 2, "attribut": [0, 3, 9, 15, 18, 20], "author": 21, "auto": 0, "avail": [9, 19, 22], "avoid": [0, 9, 16], "awar": 16, "ax": [0, 2], "axi": [0, 2], "b": [0, 2, 3, 6, 12, 15, 18], "back": 4, "backend": [13, 19], "backflow": 3, "background": 23, "balanc": [0, 4, 5, 18, 20], "barrier": 20, "base": [0, 2, 4], "basepass": 4, "basesamplerv2": 4, "basi": [0, 2, 4, 12, 15, 18, 20, 21, 23], "basic": [9, 13], "basis_g": [13, 19], "bear": 23, "becaus": [0, 2, 8, 9, 13, 15, 16, 18], "been": [0, 8], "befor": [0, 13, 16, 22, 23], "begin": [0, 2, 11, 12, 14, 20, 23], "behavior": [2, 4, 5, 19], "being": [2, 16, 18], "below": [0, 18, 23], "benchmark": 0, "beta": [0, 1, 2, 4, 5, 6, 9, 11, 13, 14, 15, 16, 19, 20], "beta_i": 0, "beta_j": 0, "better": 8, "between": [0, 1, 2, 3, 5, 11, 13], "bfg": [0, 2, 3, 15, 18], "bibtex": 21, "bit": [0, 13, 14], "bit_arrai": 0, "bitstr": [0, 14, 20], "bitstring_typ": [0, 14], "bitstringtyp": [0, 7, 14], "bla": 22, "bloc": 20, "block": 2, "block_diag": [0, 2], "bmod": 0, "bodi": [0, 1, 2, 5, 8, 9, 18, 23], "bond": 15, "bond_angle_deg": 15, "bond_dist": 18, "bool": [0, 1, 2, 3, 4, 5, 6], "both": [0, 1, 2, 4, 11, 15], "bound": [0, 2], "boundari": 0, "box": 13, "bq": 2, "bracket": 0, "braket": 0, "branch": 21, "brickwork": 15, "browser": 22, "buffer": 4, "build": [13, 17, 18, 20, 21, 22], "built": [19, 20, 23], "byte": [0, 4], "bz2": 0, "c": [2, 18], "c2v": 15, "cach": 0, "calcul": [0, 14, 18], "call": [0, 3, 8, 9, 12, 14, 16, 18, 20, 23], "callabl": [3, 18], "callback": [0, 2, 3, 18], "can": [0, 1, 2, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 21, 22, 23], "cannot": 20, "canon": 0, "casci": [15, 18], "case": [0, 6, 13, 15], "categori": 21, "caus": 0, "cc": [18, 20], "ccsd": [0, 18, 20], "ccsd_energi": 0, "ccsd_t1": 0, "ccsd_t2": 0, "cd": 22, "cdot": 2, "cell": [9, 13, 14, 18, 19, 20, 23], "certain": [2, 13], "challeng": 11, "character": 0, "check": [2, 4, 6], "chemcor": 23, "chemic": 0, "chemical_potenti": 0, "chemistri": 21, "choic": [0, 6, 13, 14], "choleski": [0, 2], "choos": [2, 14], "chosen": 0, "ci": [15, 18], "circuit": [0, 4, 8, 13, 14, 17, 21], "circul": 0, "cisd": 0, "cisd_energi": 0, "cisd_vec": 0, "class": [0, 2, 4, 5, 9, 11, 15, 17, 18, 20, 21, 23], "clement": 2, "clone": 22, "close": [11, 18], "cluster": [0, 4, 5, 10, 17, 21], "co": [0, 15], "code": [4, 9, 13, 14, 16, 18, 19, 20, 23], "coeff": [0, 1, 4, 13, 19], "coeffici": [0, 1, 2, 4, 12, 16], "collect": [0, 2, 4, 18], "column": [0, 2, 12, 14], "com": [21, 22], "comb": 4, "combin": [0, 1, 4, 12, 13, 16], "command": 22, "commonli": [8, 20], "commun": [21, 22], "commut": 8, "compact": [8, 23], "compar": [0, 6, 23], "compil": 22, "complet": 0, "complex": [0, 1, 2, 4, 5, 9], "compon": [0, 16, 21], "compos": [4, 22], "compress": [0, 2], "compris": [0, 16], "comput": [0, 2, 4, 9, 12, 18, 21, 23], "concaten": [0, 14], "concret": 9, "condit": 0, "configur": [0, 4, 13, 14, 22], "conflict": 6, "conj": [2, 12, 20], "conjug": 2, "connect": [0, 11, 13], "consecut": [4, 20], "conserv": [0, 5, 16, 21], "conserves_particle_numb": [0, 16], "conserves_spin_z": [0, 16], "consid": [11, 12, 13], "consist": [0, 9, 13], "constant": [0, 5, 8, 9, 11, 13, 19], "constrain": 2, "constraint": [11, 18], "construct": [0, 1, 3, 4, 13, 14, 15, 16, 18, 19, 20, 23], "contain": [0, 2, 3, 5, 13, 16, 20, 21, 22], "contract": [2, 7, 21], "contract_diag_coulomb": [1, 7], "contract_num_op_sum": [1, 7], "contract_one_bodi": [1, 7], "contrast": 14, "control": [3, 13], "conveni": 14, "convent": 0, "converg": [3, 15, 18, 20, 23], "convers": [11, 18], "convert": [0, 1, 4, 14, 16, 18, 20, 21, 23], "coordin": 0, "coov": 20, "copi": [0, 16], "core": 0, "core_energi": 0, "correl": 3, "correspond": [0, 2, 3, 4, 8, 12, 13, 14, 18], "cost": 0, "coulomb": [0, 1, 2, 4, 5, 8, 11, 23], "count": [0, 13, 20], "count_op": [13, 19], "coupl": 0, "cours": 11, "cp": [13, 19], "cphaseg": 13, "cre": [0, 7], "cre_a": [0, 7, 16], "cre_b": [0, 7, 16], "creat": [0, 4, 13, 14, 16, 19, 20, 21, 23], "creation": [0, 4, 12, 16], "criteria": 16, "current": [0, 2, 18], "d": [2, 22], "d2h": 18, "dag": 4, "dagcircuit": 4, "dagger": [0, 1, 2, 8, 11, 12, 16], "dagger_": [0, 4, 8, 9, 12], "dagger_i": 1, "dagger_p": 0, "dagger_q": 0, "data": [0, 5, 13, 15, 16, 18, 20, 21, 23], "daunt": 8, "de": [0, 7], "decompos": [2, 4, 8, 13, 19], "decomposit": [0, 2, 4, 8, 10, 19, 21, 23], "decreas": [0, 18], "def": [2, 12, 15, 18, 23], "default": [0, 2, 3, 4, 5, 8, 9, 23], "default_rng": [0, 4, 5, 6, 9, 13, 15, 19, 20], "default_shot": [4, 20], "defaultdict": 18, "defin": [0, 2, 13, 15, 18, 20, 23], "definit": [0, 2, 3, 14], "demonstr": [14, 18, 20], "denot": [0, 1, 2, 4, 12], "dens": 15, "densiti": [0, 5], "depend": [0, 2, 3, 22, 23], "depolar": 4, "depth": 11, "deriv": 8, "des_a": [0, 7, 16], "des_b": [0, 7, 16], "descend": [0, 16], "describ": [0, 1, 2, 8, 11, 12, 13, 16, 23], "descript": [0, 4], "design": [0, 2, 12], "desir": [0, 2, 5, 6], "destroi": [0, 16], "detail": [13, 19], "determin": [0, 2, 4, 14], "determinant": 0, "dev": 22, "devel": 22, "develop": [4, 21], "devic": [13, 19], "df_hamiltonian": [13, 19, 23], "df_hamiltonian_alt": 23, "diag": [0, 7], "diag_coulomb_indic": [0, 2], "diag_coulomb_jw": 13, "diag_coulomb_linop": [1, 7], "diag_coulomb_mat": [0, 2, 13, 19, 20, 23], "diagcoulombevolutionjw": [4, 7, 13, 19, 20], "diagcoulombevolutionspinlessjw": [4, 7], "diagon": [0, 1, 2, 4, 5, 8, 11, 23], "diagonal_coulomb_mat": 2, "diagonalcoulombhamiltonian": [0, 4, 5, 7], "dict": [0, 2, 3, 15, 18], "dictionari": [0, 16], "did": 0, "differ": [0, 1, 2, 3, 9, 11, 13, 18, 22, 23], "dim": [0, 5, 7, 14, 16], "dim_a": [0, 14], "dim_b": [0, 14], "dimens": [0, 2, 5, 14], "dimension": [0, 2, 4, 14], "dipol": 0, "dipole_integr": 0, "direct": [0, 23], "directli": [13, 18, 22, 23], "directori": 22, "discuss": [8, 12, 13], "disjoint": 2, "disk": 0, "displai": [13, 16, 20], "distinguish": 14, "distribut": [4, 5], "divid": 8, "divis": [0, 16], "dnf": 22, "do": [8, 13, 16], "doc": [15, 18, 21], "docker": 21, "dockerfil": 22, "document": [0, 2], "doe": [0, 4, 16, 18, 20], "don": 11, "dooh": [20, 21, 23], "dot": 0, "doubl": [0, 2, 4, 5, 10, 21, 24], "double_factor": [0, 2, 7], "double_factorized_t2": [2, 7], "double_factorized_t2_alpha_beta": [2, 7], "doublefactorizedhamiltonian": [0, 4, 5, 7, 23], "down": 14, "draw": [13, 19], "drop": [4, 15, 18], "dropneglig": [4, 7], "dtype": [2, 4, 5, 9, 15, 18], "due": 20, "dump": [15, 18], "duplic": 0, "dure": 4, "e": [0, 2, 4, 8, 9, 11, 15, 16, 18, 20], "e_corr": [18, 20], "each": [0, 2, 3, 4, 5, 8, 11, 14, 16, 18, 22, 23], "edg": 0, "effect": [0, 4, 13], "effici": [8, 13, 16], "eig": [9, 16], "eigendecomposit": 12, "eigenvalu": [0, 2, 3, 5, 9], "eigenvector": [0, 2], "eigh": [12, 23], "eigsh": 9, "einsum": 23, "either": [0, 1, 2, 4, 5, 6, 11], "electon": 4, "electron": [0, 1, 4, 5, 9, 13, 14, 15, 19, 20, 23], "element": [0, 1, 2, 4, 20, 23], "ell": 2, "els": [0, 5, 14], "elsewher": 0, "enabl": 2, "encount": 20, "end": [0, 2, 11, 12, 20, 23], "energi": [0, 3, 9, 12, 18, 20, 21, 23], "energy_nuc": [15, 18], "enough": 4, "ensur": 9, "entangl": [0, 17, 21], "entir": [2, 8], "entri": [0, 2, 4, 5, 11, 14, 23], "enum": 0, "enumer": [0, 18], "environ": 22, "epsilon": 3, "epsmch": 18, "equal": [0, 2, 6, 13], "equal_nan": 6, "equilibrium": 15, "equival": [0, 4], "err_msg": 6, "error": [0, 2, 4, 6, 23], "especi": 16, "estim": 9, "et": 2, "etc": 0, "ethen": 18, "evalu": [3, 15], "even": 13, "everi": 12, "everywher": 14, "evolut": [0, 4, 9, 23], "evolv": [0, 23], "evolved_vec": 9, "evolved_vec_2": 9, "exact": [2, 8, 9, 23], "exact_st": 23, "exampl": [0, 4, 9, 11, 13, 14, 15, 16, 18, 19, 22], "exce": [2, 15, 23], "except": [2, 3], "excit": 13, "exist": [2, 4], "exp": [0, 2, 4, 6], "expand": 0, "expanded_diag_coulomb_mat": 2, "expanded_orbital_rot": 2, "expans": [2, 3], "expect": [0, 3], "expectation_one_body_pow": [0, 7], "expectation_one_body_product": [0, 7], "expectation_product_st": 0, "expens": [0, 2], "explain": [9, 11, 13, 14, 18, 23], "explan": [0, 19, 21], "explicit": 0, "explicitli": 0, "exploit": 21, "expm": 2, "expm_multipli": [9, 23], "expm_multiply_taylor": [2, 7], "exponenti": [8, 9, 23], "expos": [4, 13], "express": [11, 14, 23], "extra": 8, "extract": 20, "f": [3, 14, 15, 18, 20, 23], "facilit": 11, "fact": 15, "factor": [0, 2, 4, 5, 10, 21, 24], "failur": 6, "fake_provid": [13, 19], "fals": [0, 1, 2, 4, 5, 15, 16, 18], "far": 16, "fast": 0, "faster": [18, 21], "fault": 11, "fci": [0, 14, 15, 18], "fci_energi": 0, "fci_vec": 0, "fcidump": 0, "fcivec": 0, "fedora": 22, "feenberg": 3, "fermi": 0, "fermi_hubbard_1d": [0, 7], "fermi_hubbard_2d": [0, 7], "fermion": [0, 4, 5, 6, 8, 10, 11, 12, 16, 19, 20, 21], "fermion_oper": [0, 7], "fermionact": [0, 7], "fermionoper": [0, 4, 5, 7, 17, 21], "few": [14, 22], "fewer": [13, 19, 23], "ffsim": [7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23], "ffsim_vec_to_qiskit_vec": [4, 7], "ffsimsampl": [4, 7], "fidel": 23, "field": [0, 2], "fifth": 13, "file": [0, 22], "filter": 0, "final": [0, 3, 4, 5, 13, 19, 23], "final_orbital_rot": 0, "final_st": [18, 23], "final_state_vector": [4, 7], "finish": 23, "finit": 3, "first": [0, 2, 4, 8, 13, 14, 18, 20, 23], "fix": 14, "flag": 0, "float": [0, 2, 3, 4, 5, 6, 9, 12, 23], "float64": [9, 15, 18], "fock": [0, 4, 11, 14, 18, 21, 23], "focu": 9, "follow": [0, 2, 3, 4, 9, 11, 12, 13, 14, 16, 18, 19, 20, 21, 22, 23], "foot": 0, "forg": [0, 17, 21], "form": [0, 1, 2, 4, 5, 8, 9, 11, 12, 16, 20, 23], "format": [0, 4], "formula": [0, 23], "fourth": [8, 13], "frac": [0, 2], "frac12": [0, 8, 9, 11], "frac18": 0, "framework": 22, "from": [0, 2, 4, 5, 6, 8, 11, 12, 13, 14, 15, 16, 18, 19, 21, 23], "from_diag_coulomb_mat": 0, "from_fcidump": 0, "from_fermion_oper": 0, "from_json": 0, "from_molecular_hamiltonian": [0, 23], "from_orbital_rot": 0, "from_paramet": [0, 13, 18], "from_scf": [0, 15, 18, 20, 21, 23], "from_t_amplitud": [0, 18, 20], "frozen": [18, 20], "fsim": 0, "fswap": 0, "ftol": [3, 18], "full": [0, 2, 13, 14, 15], "fulli": 9, "fun": [3, 15, 18], "function": [0, 1, 2, 3, 8, 9, 12, 14, 15, 16, 18, 19, 23], "fundament": 12, "further": [13, 14], "furthermor": [0, 2], "g": [0, 4, 15], "g_": 2, "g_1": 2, "g_i": 3, "g_k": 2, "g_l": 2, "gate": [0, 4, 10, 11, 15, 20, 21], "gener": [0, 3, 4, 5, 6, 8, 13, 14, 15, 19, 20, 21], "generate_norb_nelec": [6, 7], "generate_norb_nelec_spin": [6, 7], "generate_norb_nocc": [6, 7], "generate_norb_spin": [6, 7], "generate_preset_pass_manag": [13, 19], "genericbackendv2": [13, 19], "get": [0, 14, 15, 18, 20, 21, 23], "get_count": 20, "get_hcor": [15, 18], "get_ovlp": [15, 18], "git": 22, "github": [21, 22], "give": [0, 2, 8, 14, 19], "given": [0, 2, 4, 6, 8, 12], "givens_ansatz_op": 4, "givens_decomposit": [2, 7], "givensansatzop": [0, 4, 7], "givensansatzopjw": [4, 7], "givensansatzopspinlessjw": [4, 7], "givensrot": [2, 7], "global": [4, 6], "global_depolar": 4, "go": [0, 13, 16], "good": 16, "gradient": [2, 3, 18], "greater": 3, "ground": [9, 18], "gt": [15, 18, 19, 20], "gto": [15, 18, 20, 21, 23], "gtol": 3, "guarante": [4, 19], "guess": [3, 18], "guid": [11, 15, 18, 19, 20, 21], "gzip": 0, "h": [0, 8, 9, 15, 18, 20, 23], "h1_x": 15, "h2_x": 15, "h2_y": 15, "h_": [0, 2, 8, 9], "h_0": [8, 23], "h_k": [8, 23], "ha": [0, 1, 2, 4, 5, 8, 11, 12, 13, 14, 18], "haar": 5, "ham": 14, "hamiltonian": [0, 3, 4, 5, 10, 15, 18, 20, 21, 24], "hand": 14, "handl": [20, 23], "happen": 13, "hardwar": 13, "hartre": [0, 4, 11, 14, 18, 21, 23], "hartree_fock": 0, "hartree_fock_jw": 13, "hartree_fock_st": [0, 7, 9, 14, 18, 21, 23], "hasattr": 18, "hash": 16, "have": [0, 2, 8, 9, 11, 12, 13, 14, 16, 18, 20, 22], "height": 5, "helper": 16, "here": [0, 2, 8, 12, 13, 15, 23], "hermitian": [0, 2, 5, 12], "hess_inv": [15, 18], "hf": [15, 18], "hf_energi": 0, "hf_mo_coeff": 0, "hf_mo_occ": 0, "high": 13, "higher": [0, 8, 23], "hilbert": 5, "ho": 20, "hold": [0, 3], "home": [15, 18, 22], "hop": [0, 15], "hopgateansatzoper": [0, 7, 15], "hot": 2, "how": [0, 8, 9, 11, 12, 13, 14, 21, 23], "howev": [8, 13, 21], "http": [0, 21, 22], "hubbard": 0, "hydroxyl": 20, "hyperparamet": [3, 18], "i": [0, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23], "idea": 11, "ident": 0, "ignor": [0, 2, 8], "ij": [0, 1, 2, 4, 8, 11, 12], "ijab": 2, "ik": 12, "imag": 22, "implement": [0, 1, 3, 4, 8, 9, 11, 12, 13, 15, 18, 20, 21, 22, 24], "import": [0, 9, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23], "impos": [11, 18], "improv": [3, 23], "includ": [0, 2, 4, 5, 8, 9, 12, 13, 14, 15, 18, 19, 21, 22], "incorpor": 0, "increas": [0, 14, 23], "increment": 3, "incur": 3, "independ": [0, 1, 4, 15], "index": [0, 2, 11, 14, 16], "indic": [0, 1, 2, 4, 5, 11, 14, 16], "individu": [8, 14, 16], "info": 18, "inform": [0, 9, 16, 18, 21, 23], "init_cach": [0, 7], "initi": [0, 3, 4, 5, 6, 9, 11, 13, 18, 19, 20, 23], "initial_st": 23, "initiali": 15, "input": [0, 1, 3, 4, 5, 6, 18, 20], "insert": 13, "instanc": [5, 9, 23], "instead": [0, 2, 4, 18, 23], "instruct": [21, 22], "instructionset": 19, "int": [0, 1, 2, 3, 4, 5, 6, 12, 15, 23], "integ": [0, 2, 4, 5, 6, 14], "integr": [0, 4], "interact": [0, 1, 2, 4, 5, 11, 13, 18, 20], "interaction_pair": [0, 5, 13, 15, 18, 20], "interfac": [18, 22], "interferomet": 2, "intermedi": 18, "intermediate_result": [3, 18], "intern": 16, "interpret": [0, 5, 11], "intor_symmetr": [15, 18], "introduc": [11, 12, 23], "invers": 4, "involv": [12, 13], "ip": 2, "ipykernel_4325": 9, "is_antihermitian": [2, 7], "is_hermitian": [2, 7], "is_orthogon": [2, 7], "is_real_symmetr": [2, 7], "is_special_orthogon": [2, 7], "is_unitari": [2, 7], "isclos": 0, "isn": 4, "issu": [9, 13], "item": 20, "iter": [0, 3, 4, 6, 18], "itertool": 2, "its": [0, 2, 4, 9, 13, 14, 15, 16, 23], "itself": [0, 14, 16], "j": [0, 1, 2, 4, 5, 8, 11, 12, 14, 15, 16], "jac": [3, 15, 18], "jastrow": [0, 3, 4, 5, 10, 17, 21], "ji": [0, 4, 11, 12], "jk": 12, "job": [4, 20], "jordan": [0, 4], "jordan_wign": [4, 7], "jq": 2, "json": [0, 15, 18], "jupyt": 22, "just": [0, 14, 18, 22, 23], "jwt": 4, "k": [0, 2, 3, 8, 9, 11, 16, 20, 23], "kappa": 0, "kappa_": 0, "keep": [0, 2], "kei": 20, "kij": 23, "know": 15, "known": [0, 8], "kpi": 23, "kqi": 23, "krj": 23, "kron": 0, "ksj": 23, "kwarg": [0, 4], "l": [0, 2, 3, 8, 11, 15, 18, 23], "label": [4, 14], "ladder": [8, 11], "lambda": [0, 4, 20], "lambda_i": [0, 1, 4, 12], "lambda_k": 12, "langl": 0, "larger": [0, 2, 3, 16], "last": [0, 2, 3, 4], "later": [19, 23], "lattic": [0, 11, 13, 18, 20], "layer": [0, 2, 13, 20], "lbfgsinvhessproduct": [15, 18], "ldot": [0, 2, 8, 11, 23], "lead": 0, "least": 2, "left": [0, 4, 12, 14, 16], "len": [15, 18, 23], "length": [0, 4, 5, 14, 15], "leq": [0, 2, 5], "less": [2, 11], "let": [0, 13, 14, 16, 18, 19, 20, 23], "level": 23, "lexicograph": [0, 16], "lib": [15, 18], "libopenbla": 22, "librari": [0, 21], "like": [4, 11, 18, 22], "limit": [0, 2, 11, 13, 15, 18], "linalg": [0, 7, 9, 12, 16, 18, 21, 23], "lindep": 3, "line": [0, 11, 13, 18], "linear": [0, 1, 2, 3, 4, 9, 12, 13, 16], "linear_oper": [0, 7, 9, 16, 18, 21, 23], "linearli": 8, "linearoper": [0, 1, 3, 16, 18, 21, 23], "linop": [9, 16, 21, 23], "linux": 22, "list": [0, 2, 4, 5, 6, 11, 14, 15, 18, 20, 23], "ll": [9, 12, 13, 15, 18, 20, 23], "lm": 16, "load": 0, "local": [10, 17, 21], "localhost": 22, "log": [0, 4], "logarithm": 11, "logic": [12, 15], "longer": 11, "longest": 0, "lookup": 0, "losslessli": 0, "low": [0, 8, 23], "lower": [0, 2], "lowest": [0, 13, 14], "lt": [15, 18, 19, 20], "lu": 2, "lucj": [10, 13, 17, 21], "lup": [2, 7], "lvert": [0, 4, 11, 14], "lzma": 0, "m": [0, 1, 2, 12], "m_": [0, 1, 2], "maco": 22, "made": 23, "magnitud": 0, "mai": [0, 2, 3, 4, 11, 22, 23], "main": [18, 22], "maintain": 8, "make": [11, 13], "manag": [4, 13, 19, 22], "mani": [0, 9, 12, 14, 21], "manual": 23, "many_body_ord": 0, "map": [0, 4, 12, 13, 16], "mapsto": [0, 4, 12], "mat": [0, 1, 2, 4, 12, 14], "mat_aa": 2, "mat_ab": 2, "mat_alpha_beta": 1, "mat_bb": 2, "match": [0, 2], "match_global_phas": [2, 7], "math": [5, 15], "mathbf": [0, 8, 11, 12], "mathcal": [0, 1, 4, 8, 11, 12], "matric": [0, 1, 2, 4, 11, 12, 23], "matrix": [0, 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 16], "max": [3, 23], "max_error": 23, "max_term_length": 5, "max_vec": [0, 2, 23], "maxfun": 15, "maximum": [0, 2, 3, 5, 23], "maxit": [3, 18], "mcscf": [15, 18], "mea": 20, "meant": [4, 19], "measur": [5, 8, 20], "measure_al": 20, "mention": 8, "merg": [4, 19], "mergeorbitalrot": [4, 7, 13], "messag": [6, 15, 18], "method": [0, 2, 3, 11, 15, 16, 20, 21], "mid": 20, "might": 2, "mind": 23, "minim": [0, 2, 3, 13, 15, 18], "minimize_linear_method": [3, 7, 18], "minimizz": 15, "minimum": 4, "mk": 2, "mkap": 2, "mkbq": 2, "mkip": 2, "mkjq": 2, "mkpq": 2, "mo_coeff": 0, "mo_occ": 0, "mode": 12, "model": 0, "modifi": [0, 2], "modified_choleski": [2, 7], "modul": [0, 14, 15, 19, 20], "mol": [15, 18, 20, 21, 23], "mol_data": [15, 18, 20, 21, 23], "mol_hamiltonian": [9, 15, 18, 20, 23], "mole": [0, 15, 18, 20, 21, 23], "molecul": [0, 18, 21, 23], "molecular": [0, 5, 9, 10, 14, 15, 18, 20, 21, 23], "moleculardata": [0, 7, 15, 18, 20, 21, 23], "molecularhamiltonian": [0, 5, 7, 9, 23], "more": [0, 2, 3, 4, 8, 9, 11, 13, 14, 19, 23], "most": [0, 2, 16, 20], "motiv": 13, "mp2": 0, "mp2_energi": 0, "mp2_t2": 0, "mpl": [13, 19], "msg": [15, 18], "mu": 0, "much": [0, 2, 8, 13, 21], "multipl": [0, 9, 16, 23], "multipli": [0, 16], "multiport": 2, "multirefer": 0, "multireference_st": [0, 7], "multireference_state_prod": [0, 7, 15], "must": [0, 2, 3, 4, 5, 16, 20], "n": [0, 2, 3, 8, 9, 11, 12, 14, 20, 21, 23], "n2": [20, 21, 23], "n_": [0, 1, 4, 8, 11, 12, 14], "n_alpha": [4, 6, 20], "n_beta": [4, 6, 20], "n_frozen": [20, 23], "n_i": 4, "n_j": 4, "n_layer": 15, "n_p": 0, "n_param": [0, 13], "n_qubit": 4, "n_rep": [0, 5, 13, 18, 19, 20], "n_sampl": 0, "n_step": [0, 4, 13, 19, 23], "n_term": 5, "n_vec": 2, "n_x": 0, "n_y": 0, "name": [0, 9, 13, 14, 19, 22], "namedtupl": [0, 2], "nan": 6, "nao_nr": [15, 18, 20, 21, 23], "nativ": 21, "navig": 22, "ndarrai": [0, 1, 2, 3, 4, 5, 6, 12, 18, 23], "nearest": 0, "nearest_neighbor_interact": 0, "need": [0, 4, 9, 11, 13, 20, 22, 23], "neg": [0, 4], "neglig": 4, "neighbor": [0, 13], "nelec": [0, 1, 4, 6, 9, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23], "nelectron": 18, "neq": 0, "nest": 2, "network": 11, "new": [0, 4, 12, 16], "newli": 0, "next": [13, 15, 23], "nfev": [3, 15, 18], "nit": [15, 18], "nitrogen": [20, 23], "njev": [15, 18], "nlinop": [3, 18], "nn": 0, "nocc": [0, 5, 6], "nocc_a": 2, "nocc_b": 2, "noisi": [4, 11], "non": [4, 11], "none": [0, 1, 2, 3, 4, 5, 6], "nonzero": [0, 2, 5, 11], "norb": [0, 1, 2, 4, 5, 6, 9, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23], "norb_i": 0, "norb_rang": 6, "norb_x": 0, "norm": [0, 18], "normal": [0, 15, 16], "normal_ord": [0, 16], "note": [0, 2, 3, 13, 14, 16, 19, 21], "notebook": 22, "notic": 18, "notimplementederror": 4, "now": [9, 13, 15, 18, 20, 23], "np": [0, 2, 4, 5, 6, 9, 12, 13, 15, 18, 19, 20, 21, 23], "num_num_ansatz_op": 4, "num_op_sum_linop": [1, 7], "number": [0, 1, 2, 3, 4, 5, 6, 8, 9, 12, 14, 15, 16, 18, 21, 23], "number_oper": [0, 7], "numer": [0, 2, 4, 16], "numnumansatzopspinbalanc": [0, 4, 7], "numnumansatzopspinbalancedjw": [4, 7], "numopsumevolutionjw": [4, 7, 13, 19], "numopsumevolutionspinlessjw": [4, 7], "numpi": [0, 1, 2, 4, 6, 9, 11, 12, 13, 14, 15, 18, 19, 20, 21, 23], "o": [0, 15, 20], "o_1": 0, "o_2": 0, "o_k": 0, "obj": 0, "object": [0, 2, 3, 4, 5, 9, 16, 18, 20], "obtain": [0, 8, 9, 12, 13, 18, 23], "occ_a": 6, "occ_b": 6, "occup": [0, 6, 8, 12, 14], "occupi": [0, 4, 5, 6, 13, 14], "occupied_orbit": [0, 4, 13, 19, 20], "often": [8, 11, 18], "onc": [12, 13, 22], "one": [0, 1, 2, 4, 5, 8, 9, 13, 14, 18, 20, 22, 23], "one_body_basis_chang": 23, "one_body_energi": 23, "one_body_integr": 0, "one_body_linop": [1, 7], "one_body_squar": 0, "one_body_tensor": [0, 9, 23], "one_hot": [2, 7], "one_rdm": 0, "ones": 9, "onli": [0, 2, 4, 8, 11, 12, 13, 20, 22], "onsit": 0, "onto": [13, 16], "op": [0, 4, 16], "op1": [0, 16], "op2": [0, 16], "op3": 16, "op4": 16, "opaqu": 13, "open": [0, 11], "openbla": 22, "oper": [0, 1, 2, 3, 4, 5, 8, 11, 12, 16, 18, 22, 23], "oppos": 13, "opposit": [18, 20], "optim": [0, 2, 4, 7, 11, 13, 19, 21], "optimization_level": [13, 19], "optimize_kwarg": 3, "optimize_regular": 3, "optimize_vari": 3, "optimizeresult": [3, 18], "option": [0, 1, 2, 3, 4, 5, 9, 15, 18, 22], "orb": [0, 16], "orbit": [0, 1, 2, 4, 5, 6, 8, 9, 10, 11, 14, 15, 16, 18, 20, 21, 23], "orbital_rot": [0, 1, 2, 4, 12, 13, 14, 19, 20, 21, 23], "orbital_rotation_a": 2, "orbital_rotation_b": 2, "orbital_symmetri": 0, "orbitalrotationjw": [4, 7, 13, 19, 20], "orbitalrotationspinlessjw": [4, 7], "order": [0, 1, 2, 4, 5, 8, 9, 13, 14, 16, 19, 20, 23], "ordereddict": [13, 19], "org": 0, "origin": [0, 2, 11, 13, 23], "orthogon": [2, 5], "other": [0, 4, 11, 14, 18, 19, 20], "otherwis": 0, "our": [15, 18, 20, 23], "out": [2, 23], "output": [0, 3, 4, 13, 18, 20], "over": 0, "overrid": [0, 2], "overwritten": [0, 15, 18], "own": 4, "p": [0, 2, 8, 9, 11, 13, 18, 19, 20], "packag": [15, 18, 22], "pacman": 22, "pad": 0, "page": [8, 9, 11, 12, 13, 14], "pair": [0, 1, 2, 4, 5, 6, 11, 13, 14], "pairs_aa": [13, 18, 20], "pairs_ab": [13, 18, 20], "pairs_bb": 20, "paper": 11, "parallel": [2, 11, 13], "param": 0, "paramet": [0, 1, 2, 3, 4, 5, 6, 11, 15, 18], "parameter_valu": 4, "params_to_vec": [3, 18], "pars": [15, 18], "part": [0, 5, 8, 12, 14, 15], "particl": [0, 5, 6, 12, 16, 21], "pass": [0, 1, 2, 4, 9, 12, 13, 14, 15, 16, 18, 19], "pass_manag": [13, 19], "passmanag": [4, 13], "path": 0, "pathlik": 0, "pattern": [13, 15], "pauli": 0, "per": 23, "perform": [0, 2, 3, 8, 9, 12, 13, 20, 23], "period": 0, "periodic_i": 0, "periodic_x": 0, "permut": 2, "persist": 22, "ph": 5, "phase": [0, 2, 4, 6, 13], "phase_angl": 0, "phaseg": 13, "phi": [0, 2, 6], "phi_0": 11, "pi": [0, 15], "piec": [9, 16], "pip": 21, "pipelin": 13, "pivot": 2, "pk": 2, "place": [0, 2, 11, 13, 16, 22], "plain": 14, "pmatrix": [0, 2], "point": 0, "polar": 0, "posit": [2, 3, 14], "possibl": [0, 2, 6, 20, 21], "possibli": [0, 18], "potenti": 0, "power": 0, "pq": [0, 2, 8, 9], "pqr": [0, 2, 8, 9, 23], "practic": 8, "pre": [11, 19], "pre_init": [4, 7, 13, 19], "pre_init_pass": [4, 7, 19], "precis": 6, "prepar": [0, 4, 20], "preparehartreefockjw": [4, 7, 13, 19, 20], "preparehartreefockspinlessjw": [4, 7, 20], "prepareslaterdeterminantjw": [4, 7, 13, 19, 20], "prepareslaterdeterminantspinlessjw": [4, 7, 20], "present": 3, "preserv": [16, 20], "preset_passmanag": [13, 19], "previou": [18, 20], "previous": [8, 13, 14, 18], "primit": [4, 17, 21], "primitivejob": 4, "primitiveresult": 4, "print": [0, 6, 13, 14, 15, 16, 18, 20, 21, 23], "probabl": [0, 4], "problem": 3, "process": 0, "processor": 11, "prod": 15, "prod_": [0, 4, 11], "prod_k": 8, "prod_state_sum": 0, "produc": [0, 13], "product": [0, 2, 8, 14, 15, 16], "productstatesum": [0, 7], "programmat": 16, "properti": [0, 2, 12], "proport": [0, 8], "protocol": 0, "provid": [9, 13, 19, 22], "pseudorandom": [0, 4, 5, 6], "psi": [0, 11], "pub": [4, 20], "pub_result": 20, "put": 15, "py": [9, 15, 18], "pypi": 22, "pyscf": [0, 4, 14, 15, 18, 20, 21, 23], "python3": [15, 18], "q": [0, 8, 9, 13, 19], "qdrift": 0, "qi": 0, "qiskit": [7, 13, 17, 21, 22], "qiskit_vec_to_ffsim_vec": [4, 7], "qk": 2, "quadrat": [8, 10, 21, 23], "qualnam": 0, "quantifi": 2, "quantiti": 0, "quantum": [0, 4, 8, 11, 13, 14, 17, 20, 21], "quantumcircuit": [4, 13, 19, 20], "quantumregist": [13, 19, 20], "qubit": [0, 4, 10, 11, 15, 19, 20, 21], "r": [0, 2, 8, 9], "radic": 20, "radius_1": 15, "radius_2": 15, "rais": [0, 2, 4, 6], "random": [0, 4, 6, 7, 9, 13, 14, 15, 16, 19, 20, 21], "random_antihermitian": [5, 7], "random_density_matrix": [5, 7], "random_diagonal_coulomb_hamiltonian": [5, 7], "random_double_factorized_hamiltonian": [5, 7, 13, 19], "random_fermion_hamiltonian": [5, 7], "random_fermion_oper": [5, 7], "random_hermitian": [5, 7], "random_molecular_hamiltonian": [5, 7], "random_nelec": [6, 7], "random_occupied_orbit": [6, 7], "random_orthogon": [5, 7], "random_real_symmetric_matrix": [5, 7, 9, 13, 19, 20], "random_special_orthogon": [5, 7], "random_state_vector": [5, 7, 16], "random_t2_amplitud": [5, 7], "random_two_body_tensor": [5, 7, 9], "random_uccsd_restrict": [5, 7], "random_ucj_op_spin_balanc": [5, 7, 13, 19], "random_ucj_op_spin_unbalanc": [5, 7, 19], "random_ucj_op_spinless": [5, 7], "random_unitari": [5, 7, 13, 14, 19, 20, 21], "rang": [0, 2, 6, 13, 14, 15, 18, 20, 21, 23], "rangl": [0, 4, 11, 14], "rank": [0, 2, 5, 8, 13], "rather": [0, 5, 12, 14], "rccsd": 20, "rdm": [0, 7], "rdm1": 0, "rdm2": 0, "rdm3": 0, "rdm4": 0, "reach": 18, "read": 0, "real": [0, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 18, 21], "reason": [4, 12], "recal": 13, "recommend": [4, 13, 16, 19, 21], "reconstruct": [0, 2, 23], "reconstruct_t2_alpha_beta": 2, "recover": 0, "reduc": [0, 2, 13], "reduced_matrix": [2, 7], "reduced_matrix_product_st": 0, "reduct": 18, "redund": 11, "refer": [0, 2, 3, 4, 5, 6, 11, 12, 14, 18, 21], "reference_occup": [0, 15], "reference_occupations_spati": 15, "reference_st": 18, "regress": 0, "regular": [3, 18], "rel": [0, 2, 4, 6, 18], "rel_reduction_of_f_": 18, "relat": 12, "releas": 21, "reorder": [0, 8], "rep": 13, "repeat": 15, "repeatedli": 12, "repetit": [0, 5, 11, 13, 18], "repositori": 22, "repr": 16, "repres": [0, 2, 3, 4, 5, 6, 9, 11, 14, 16, 18, 19], "represent": [0, 1, 2, 4, 5, 10, 14, 16, 21, 23], "reproduc": 23, "request": 0, "requir": [0, 9, 11, 13, 14, 22], "reshap": 14, "respect": [0, 2, 3, 23], "rest": [0, 13], "restrict": [0, 5, 13, 18], "result": [0, 1, 2, 3, 4, 5, 8, 9, 11, 13, 15, 18, 19, 20, 23], "retain": [0, 13], "retriev": 20, "return": [0, 1, 2, 3, 4, 5, 6, 12, 15, 16, 18, 23], "revers": 20, "rewrit": 0, "rewritten": 12, "rhf": [15, 18, 20, 21, 23], "right": [0, 4, 12, 14, 16], "ring": 0, "rise": [2, 8], "rng": [9, 13, 15, 19, 20], "rohf": 20, "root": 0, "rotat": [0, 1, 2, 4, 5, 8, 10, 11, 14, 21, 23], "rotated_vec": 14, "routin": [2, 9, 16], "row": [0, 2, 14], "rtol": [0, 2, 4, 6], "rtype": [2, 4], "run": [0, 4, 13, 15, 18, 19, 20, 21, 22, 23], "run_ccsd": 0, "run_cisd": 0, "run_fci": [0, 15, 18], "run_mp2": 0, "run_sci": 0, "rung": 11, "runner": [15, 18], "rust": 22, "rvert": 0, "s_": [0, 14], "s_a": 0, "s_b": 0, "sa": 9, "same": [0, 9, 11, 12, 13, 14, 15, 18, 20], "sampl": [0, 4, 5, 6, 9], "sample_slater_determin": [0, 7], "sample_state_vector": [0, 7], "sampler": [0, 4, 17, 21], "samplerpubresult": 4, "sandwich": 13, "satisfi": [0, 12, 16, 20, 22], "save": [0, 18, 22], "scalar": [0, 16], "scale": [8, 13, 15, 19], "scf": [0, 15, 18, 20, 21, 23], "scheme": 8, "schmidt": 5, "sci": 0, "sci_energi": 0, "sci_vec": 0, "scipi": [0, 2, 3, 15, 16, 18, 21, 23], "search": 14, "second": [0, 2, 4, 8], "section": [8, 19], "sector": [0, 1, 2, 4, 15], "see": [0, 2, 4, 11, 13, 14, 19, 22, 23], "seed": [0, 4, 5, 6, 9, 13, 14, 19, 20, 21], "seen": 20, "select": 3, "sens": [13, 23], "separ": [11, 14], "sequenc": [0, 2, 4, 13], "seri": 2, "serial": 0, "serializ": [15, 18], "set": [0, 1, 2, 4, 5, 8, 11, 12, 13, 19, 23], "setup": 11, "sever": [9, 13], "shape": [0, 2, 5, 11, 23], "share": 11, "shell": [11, 18], "shot": [0, 4, 20], "should": [0, 1, 2, 4, 5, 6, 9, 12, 22], "show": [13, 15, 16, 18, 19, 20], "shown": 16, "side": 0, "sigma": [0, 1, 4, 8, 9, 11, 12], "sign": 0, "signatur": 3, "signific": 23, "significantli": 13, "similar": 18, "simpl": [20, 22], "simpler": 0, "simpli": [4, 13, 14], "simplist": 23, "simul": [0, 4, 8, 11, 12, 14, 17, 21, 24], "simulate_qdrift_double_factor": [0, 7], "simulate_trotter_diag_coulomb_split_op": [0, 7], "simulate_trotter_double_factor": [0, 7, 8, 23], "simulate_trotter_step_double_factor": 23, "simulatetrotterdiagcoulombsplitopjw": [4, 7], "simulatetrotterdoublefactorizedjw": [4, 7, 13, 19], "sin": [0, 15], "sinc": [0, 2, 11, 12, 15, 18], "singl": [0, 1, 4, 6, 8, 13, 23], "singlefactorizedhamiltonian": [0, 7], "singular": [0, 2], "site": [0, 15, 18], "size": [0, 3, 15], "slater": [0, 4], "slater_determin": [0, 7], "slater_determinant_amplitud": [0, 7], "slater_determinant_rdm": [0, 7], "slice": 2, "small": 2, "smaller": [0, 2, 8, 16, 23], "so": [0, 2, 6, 8, 11, 12, 13, 15, 16, 22, 23], "softwar": [0, 21], "solv": 3, "some": [0, 2, 6, 9, 13, 14, 16, 18, 20], "sometim": [0, 14], "sort": 20, "sourc": [0, 1, 2, 3, 4, 5, 6, 21], "space": [0, 9, 14, 15, 18, 20, 23], "span": [0, 2], "spars": [9, 16, 23], "sparsepauliop": 4, "sparsiti": 11, "spatial": [0, 1, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 23], "speci": [4, 6], "special": [2, 5, 11, 13, 21], "specif": 14, "specifi": [0, 1, 2, 3, 4, 5, 6, 9, 11, 13, 15, 23], "spectral": 0, "spin": [0, 1, 2, 4, 5, 6, 7, 12, 13, 14, 15, 16, 18, 20, 21], "spin_squar": [0, 7], "spin_sum": 0, "spinless": [0, 4, 5, 6], "split": [0, 4, 23], "squar": [0, 2, 11, 13, 18, 20], "stack": 0, "stage": [4, 13, 19], "standard": 18, "standard_norm": [9, 13, 19], "star": 2, "start": 0, "state": [0, 1, 3, 4, 5, 9, 10, 11, 12, 13, 18, 20, 21, 23], "statevector": [0, 4, 7], "static": 0, "statist": 20, "statu": [15, 18], "step": [0, 4, 8, 12, 15, 19, 23], "step_tim": 23, "still": [0, 8], "sto": [0, 15, 18, 23], "stop": [3, 15, 18], "store": [0, 2, 4, 6, 9, 11, 13, 18, 19, 23], "store_cisd_vec": 0, "store_fci_vec": 0, "store_sci_vec": 0, "store_t1": 0, "store_t2": 0, "str": [0, 2, 4, 6], "straightforward": 2, "strategi": 0, "strength": 0, "strictli": 3, "string": [0, 14, 16], "strings_a": 0, "strings_b": 0, "strings_to_address": [0, 7], "structur": [0, 8], "sub": 0, "subdirectori": 22, "submit": 20, "subroutin": 12, "subspac": [0, 2, 16], "substitut": [0, 5], "subsystem": [14, 22], "subtract": [0, 16], "success": [15, 18], "sudo": 22, "suffix": 15, "suggest": 19, "sum": [0, 4, 8, 23], "sum_": [0, 1, 2, 4, 8, 9, 11, 12, 23], "sum_j": 12, "sum_k": [8, 12], "sum_p": 0, "sum_t": 0, "summat": 0, "support": [0, 2, 9, 14, 16, 20, 22], "supportsapplyunitari": [0, 7], "supportsapproximateequ": [0, 7], "supportsdiagon": [0, 7], "supportsfermionoper": [0, 7], "supportslinearoper": [0, 7], "supportstrac": [0, 7], "suzuki": [0, 23], "swap": [0, 11, 13], "symmetr": [0, 2, 4, 5, 8, 11], "symmetri": [0, 12, 15, 18, 20, 21, 23], "system": [0, 4, 6, 12, 14, 22], "t": [0, 2, 4, 8, 11, 12, 20, 21], "t1": 0, "t1a": 0, "t1b": 0, "t2": [0, 2, 5, 18, 20], "t2_amplitud": 2, "t2aa": 0, "t2ab": 0, "t2bb": 0, "t_": 2, "tabl": [0, 16], "take": [0, 3, 18, 19], "taken": 11, "target": [2, 13], "target_orb": 0, "tau": [0, 1, 4, 8, 9, 11], "taylor": 2, "tensor": [0, 1, 2, 5, 8, 9, 18, 23], "term": [0, 2, 5, 8, 11, 16, 23], "test": [7, 21, 23], "text": [0, 8, 9], "th": [2, 12], "than": [0, 4, 5, 12, 13, 14, 18, 21], "thei": [0, 9, 11, 12, 16], "them": [11, 13, 14], "therefor": [0, 2, 11], "theta": [0, 15], "thi": [0, 2, 4, 8, 9, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23], "think": 2, "third": [0, 2], "those": [3, 18], "though": 13, "three": [0, 1, 4, 9, 16], "threshold": [0, 2, 3], "thu": 8, "time": [0, 2, 3, 4, 9, 13, 14, 19, 20, 23], "titl": 21, "tmp": [9, 15, 18], "tmp1kn5cxxi": 15, "tmp3ddibu_u": 18, "to_diag_coulomb_mat": 0, "to_fcidump": 0, "to_json": 0, "to_molecular_hamiltonian": 0, "to_number_represent": 0, "to_orbital_rot": 0, "to_paramet": [0, 18], "to_z_represent": 0, "tol": [0, 2, 23], "toler": [0, 2, 4, 6, 11, 23], "too": 2, "top": 20, "topologi": [11, 13, 18], "toru": 0, "total": [4, 8, 15, 18, 23], "tox": [15, 18], "trace": [0, 7, 9, 23], "tracea": [9, 23], "trajectori": 0, "transform": [0, 1, 4], "transformationpass": 4, "transpil": [4, 13, 17, 21], "transpiled_opt": 13, "treat": 0, "triangl": 11, "trianglular": [0, 2], "triangular": [0, 2, 4, 5], "triplet": 6, "trotter": [0, 4, 21, 24], "true": [0, 2, 3, 4, 6, 16, 18, 20], "truncat": 8, "try": 23, "tunnel": 0, "tupl": [0, 1, 2, 4, 5, 6, 12, 15, 16, 23], "tutori": [21, 23], "twice": [0, 15, 19], "two": [0, 2, 5, 8, 9, 11, 13, 14, 15, 18, 22, 23], "two_body_integr": 0, "two_body_tensor": [0, 2, 9, 23], "type": [0, 1, 2, 3, 4, 5, 6, 20, 22], "typeerror": 0, "typic": 0, "u": [0, 1, 2, 4, 8, 11, 12], "u_": 4, "u_k": 0, "ubuntu": 22, "uccsd": [0, 5, 20], "uccsdoprestrictedr": [0, 5, 7], "ucj": [0, 4, 5], "ucj_balanced_jw": 13, "ucj_op": [4, 13, 19, 20], "ucjoperatorjw": 4, "ucjopspinbalanc": [0, 4, 5, 7, 11, 13, 18, 20], "ucjopspinbalancedjw": [4, 7, 13, 19, 20], "ucjopspinless": [0, 4, 5, 7], "ucjopspinlessjw": [4, 7], "ucjopspinunbalanc": [0, 4, 5, 7, 11, 20], "ucjopspinunbalancedjw": [4, 7, 13, 19, 20], "uhf": 20, "unbalanc": [0, 4, 5, 20], "uncorrel": 0, "under": [0, 4], "underli": 4, "unifi": 20, "uniform": [0, 4, 5], "unimpl": 4, "union": [2, 4], "unit": 2, "unitari": [0, 1, 2, 4, 5, 8, 10, 12, 14, 17, 21], "univers": 2, "unlik": 0, "unord": 0, "untouch": 0, "up": [0, 2, 6, 8, 14, 22], "updat": [0, 8], "upon": 16, "upper": [0, 2, 4, 5, 11], "url": 21, "us": [0, 1, 2, 3, 4, 5, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 21, 23], "usag": [0, 2, 16, 19], "user": 22, "userwarn": [9, 15, 18], "usual": 0, "util": [2, 5, 6, 8], "v": [0, 20], "v_": 0, "v_i": 2, "v_j": 2, "vacuum": 4, "valid": [0, 4, 5, 6], "valu": [0, 1, 2, 3, 4, 5, 6, 9, 11, 18, 19, 23], "valueerror": [0, 2, 4], "vari": [0, 4], "variabl": [14, 23], "variant": [11, 13, 18], "variat": [0, 3, 11, 18], "variation": 18, "varphi": 0, "vdot": [18, 21, 23], "ve": 23, "vec": [0, 1, 2, 4, 9, 12, 14, 16, 21, 23], "vec_a": 0, "vec_b": 0, "vector": [0, 1, 2, 3, 4, 5, 9, 10, 11, 12, 15, 16, 18, 21], "verbos": 6, "verifi": 2, "version": 4, "vertic": 0, "via": [0, 23], "view": [0, 16], "volum": 22, "w": 0, "wa": [0, 3, 4, 11], "wai": 11, "want": 13, "warn": [9, 15, 18, 20], "water": 15, "wavefunct": [3, 18], "we": [0, 2, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23], "web": 22, "weight": 14, "well": [3, 14, 21, 22, 23], "when": [0, 3, 4, 9, 11, 13, 14, 16, 19, 21], "whenev": 0, "where": [0, 1, 2, 3, 4, 5, 8, 11, 12, 14, 22, 23], "whether": [0, 1, 2, 3, 4, 5, 16], "which": [0, 2, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 22, 23], "while": [8, 11], "whose": [0, 2, 14], "width": 5, "wigner": [0, 4], "william": 2, "window": [21, 22], "wise": 2, "with_final_orbital_rot": [0, 5], "with_phase_angl": 0, "with_phi": 0, "within": [0, 2, 13, 16, 18, 21], "without": [11, 13, 18], "won": 21, "word": [0, 11, 20], "work": [9, 13, 15, 18, 19, 21, 22], "workflow": 20, "would": [13, 14], "wrapper": 23, "write": 23, "written": 8, "wrote": 23, "wsl": 22, "x": [0, 3, 4, 13, 15, 18, 19, 20], "x0": [3, 15, 18], "xx_plus_yi": [13, 19], "xxplusyyg": [13, 19], "y": 0, "yaml": 22, "yet": [9, 18], "yield": [0, 2, 4, 8, 11, 15, 23], "you": [0, 1, 2, 4, 9, 14, 18, 21, 22, 23], "your": [19, 22], "z": [0, 1, 2, 4, 5, 12, 16, 21], "z_represent": [0, 1, 4, 5], "zero": [0, 2, 4, 9, 19], "zip": [0, 15, 18, 23], "\u03c8": 18}, "titles": ["ffsim", "ffsim.contract", "ffsim.linalg", "ffsim.optimize", "ffsim.qiskit", "ffsim.random", "ffsim.testing", "API reference", "Double-factorized representation of the molecular Hamiltonian", "Hamiltonians", "Explanations", "The local unitary cluster Jastrow (LUCJ) ansatz", "Orbital rotations and quadratic Hamiltonians", "Qubit gate decompositions of fermionic gates", "State vectors and gates", "How to simulate entanglement forging", "How to use the FermionOperator class", "How-to guides", "How to simulate the local unitary cluster Jastrow (LUCJ) ansatz", "How to build and transpile Qiskit quantum circuits", "How to use ffsim\u2019s Qiskit Sampler primitive", "ffsim", "Installation", "Implementing Trotter simulation of the double-factorized Hamiltonian", "Tutorials"], "titleterms": {"": 20, "The": 11, "action": 9, "an": 20, "ansatz": [11, 15, 18], "api": 7, "applic": 8, "background": 8, "balanc": [11, 19], "brief": 8, "build": [15, 19, 23], "can": 20, "choos": 15, "circuit": [19, 20], "cite": 21, "class": 16, "close": 20, "cluster": [11, 13, 18, 19], "code": 21, "comput": 15, "content": 21, "contract": 1, "coulomb": [13, 19], "criteria": 20, "data": 9, "decomposit": 13, "determin": [13, 19], "diagon": [13, 19], "docker": 22, "doubl": [8, 13, 19, 23], "energi": 15, "entangl": 15, "evolut": [8, 12, 13, 19], "exampl": [20, 21], "explan": 10, "factor": [8, 13, 19, 23], "fermion": [13, 14], "fermionoper": 16, "ffsim": [0, 1, 2, 3, 4, 5, 6, 20, 21], "ffsimsampl": 20, "fock": [13, 19], "forg": 15, "formula": 8, "from": [20, 22], "gate": [13, 14, 19], "gener": [11, 18], "guid": 17, "hamiltonian": [8, 9, 12, 13, 19, 23], "hartre": [13, 19], "how": [15, 16, 17, 18, 19, 20], "implement": 23, "initi": 15, "instal": [21, 22], "jastrow": [11, 13, 18, 19], "linalg": 2, "linear": 18, "linearoper": 9, "local": [11, 13, 18], "lucj": [11, 18, 20], "merg": 13, "method": 18, "molecul": [15, 20], "molecular": 8, "more": 20, "number": [13, 19], "occup": 15, "open": 20, "oper": [9, 13, 15, 19], "optim": [3, 15, 18], "orbit": [12, 13, 19], "overview": 19, "pip": 22, "prepar": [13, 19], "primit": 20, "qiskit": [4, 19, 20], "quadrat": 12, "quantum": 19, "qubit": 13, "random": 5, "refer": [7, 15], "represent": [8, 9], "rotat": [12, 13, 19], "sampl": 20, "sampler": 20, "scipi": 9, "shell": 20, "simul": [13, 15, 18, 19, 23], "slater": [13, 19], "sourc": 22, "spin": [11, 19], "spinless": 14, "state": [14, 19], "sum": [13, 19], "suzuki": 8, "test": 6, "time": [8, 12], "transform": 19, "transpil": 19, "treat": 14, "trotter": [8, 13, 19, 23], "tutori": 24, "ucj": [11, 13, 18, 19], "unbalanc": [11, 19], "unitari": [11, 13, 18, 19], "us": [16, 20, 22], "vector": 14, "via": [8, 9], "within": 22}})
\ No newline at end of file
diff --git a/dev/tutorials/double-factorized-trotter.html b/dev/tutorials/double-factorized-trotter.html
index 3a840ca40..25a4df131 100644
--- a/dev/tutorials/double-factorized-trotter.html
+++ b/dev/tutorials/double-factorized-trotter.html
@@ -455,7 +455,7 @@ <h2>Build the Hamiltonian<a class="headerlink" href="#Build-the-Hamiltonian" tit
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Maximum error in a tensor entry: 0.036685417309836654
+Maximum error in a tensor entry: 0.03668541730983488
 </pre></div></div>
 </div>
 </section>
@@ -596,7 +596,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.940243538754112
+Fidelity of Trotter-evolved state with exact state: 0.9402435115134801
 </pre></div></div>
 </div>
 <p>The fidelity of the final result can be improved by increasing the number of Trotter steps.</p>
@@ -623,7 +623,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9985212861539957
+Fidelity of Trotter-evolved state with exact state: 0.9985212854198805
 </pre></div></div>
 </div>
 <p>In the code cell below, we reproduce the results of our manually implemented function using ffsim’s built-in implementation.</p>
@@ -651,7 +651,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9985212861539393
+Fidelity of Trotter-evolved state with exact state: 0.9985212854198383
 </pre></div></div>
 </div>
 <p>A higher order formula achieves a higher fidelity with fewer Trotter steps:</p>
@@ -679,7 +679,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9996731164192681
+Fidelity of Trotter-evolved state with exact state: 0.9996731164187923
 </pre></div></div>
 </div>
 <p>You’ve made it to the end of this tutorial!</p>
diff --git a/dev/tutorials/double-factorized-trotter.ipynb b/dev/tutorials/double-factorized-trotter.ipynb
index 636d05070..67fab4d38 100644
--- a/dev/tutorials/double-factorized-trotter.ipynb
+++ b/dev/tutorials/double-factorized-trotter.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:14.381182Z",
-     "iopub.status.busy": "2024-11-02T22:10:14.380997Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.137804Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.137200Z"
+     "iopub.execute_input": "2024-11-03T03:12:44.267379Z",
+     "iopub.status.busy": "2024-11-03T03:12:44.267196Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.023340Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.022753Z"
     }
    },
    "outputs": [
@@ -80,10 +80,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.141695Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.140522Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.145296Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.144828Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.027049Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.025926Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.030664Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.030224Z"
     }
    },
    "outputs": [],
@@ -106,10 +106,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.147362Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.147044Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.151602Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.151030Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.032787Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.032369Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.037126Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.036677Z"
     }
    },
    "outputs": [
@@ -172,10 +172,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.153661Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.153315Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.157122Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.156662Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.039118Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.038771Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.042961Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.042384Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.159022Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.158702Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.162593Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.161960Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.045031Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.044679Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.048132Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.047640Z"
     }
    },
    "outputs": [
@@ -242,10 +242,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.164656Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.164315Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.182933Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.182341Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.050095Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.049748Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.068578Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.068091Z"
     }
    },
    "outputs": [
@@ -253,7 +253,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Maximum error in a tensor entry: 0.036685417309836654\n"
+      "Maximum error in a tensor entry: 0.03668541730983488\n"
      ]
     }
    ],
@@ -302,10 +302,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.184960Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.184491Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.188871Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.188284Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.070623Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.070269Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.074468Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.074013Z"
     }
    },
    "outputs": [],
@@ -360,10 +360,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.191079Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.190624Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.194332Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.193718Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.076384Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.076038Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.079535Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.079045Z"
     }
    },
    "outputs": [],
@@ -400,10 +400,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.196201Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.195900Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.294202Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.293548Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.081597Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.081249Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.179224Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.178629Z"
     }
    },
    "outputs": [],
@@ -439,10 +439,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.297362Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.296578Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.346001Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.345517Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.182273Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.181487Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.234243Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.233745Z"
     }
    },
    "outputs": [
@@ -450,7 +450,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.940243538754112\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9402435115134801\n"
      ]
     }
    ],
@@ -480,10 +480,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.347846Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.347659Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.576635Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.576128Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.252904Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.252557Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.465435Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.464922Z"
     }
    },
    "outputs": [
@@ -491,7 +491,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212861539957\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854198805\n"
      ]
     }
    ],
@@ -521,10 +521,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.578705Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.578355Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.721380Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.720805Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.467506Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.467310Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.595746Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.595252Z"
     }
    },
    "outputs": [
@@ -532,7 +532,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212861539393\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854198383\n"
      ]
     }
    ],
@@ -563,10 +563,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.723511Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.723079Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.827746Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.827238Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.597844Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.597491Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.705201Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.704572Z"
     }
    },
    "outputs": [
@@ -574,7 +574,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9996731164192681\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9996731164187923\n"
      ]
     }
    ],