From 1749f702cfebd5444f6e9ba092c6bb3dd0deec70 Mon Sep 17 00:00:00 2001 From: didericis Date: Wed, 13 May 2026 23:56:38 -0400 Subject: [PATCH] Add flip-symmetry paper with empirical density census through n=14 Introduces the maximal_planar_graph_edge_flipping paper, motivating flip-symmetry as a structural restriction on minimum-order five-chromatic counterexamples, and reports an exhaustive census showing |F_n|/|T_n| decays geometrically (factor ~1/2 per step from n=10 to n=14). The census driver lives in flip_symmetric_census.py. Co-Authored-By: Claude Opus 4.7 --- flip_symmetric_census.py | 73 +++ .../paper.aux | 16 + .../paper.fdb_latexmk | 128 +++++ .../paper.fls | 450 +++++++++++++++ .../paper.log | 533 ++++++++++++++++++ .../paper.pdf | Bin 0 -> 160434 bytes .../paper.tex | 236 ++++++++ 7 files changed, 1436 insertions(+) create mode 100644 flip_symmetric_census.py create mode 100644 papers/maximal_planar_graph_edge_flipping/paper.aux create mode 100644 papers/maximal_planar_graph_edge_flipping/paper.fdb_latexmk create mode 100644 papers/maximal_planar_graph_edge_flipping/paper.fls create mode 100644 papers/maximal_planar_graph_edge_flipping/paper.log create mode 100644 papers/maximal_planar_graph_edge_flipping/paper.pdf create mode 100644 papers/maximal_planar_graph_edge_flipping/paper.tex diff --git a/flip_symmetric_census.py b/flip_symmetric_census.py new file mode 100644 index 0000000..d09c04e --- /dev/null +++ b/flip_symmetric_census.py @@ -0,0 +1,73 @@ +"""Census of flip-symmetric maximal planar graphs. + +A maximal planar graph G is *flip-symmetric* if some admissible edge uv +satisfies G^flip(uv) ~= G, where flip(uv) replaces uv with wx (the third +vertices of the two triangular faces incident to uv), and admissible +means wx is not already an edge of G. +""" +from typing import Iterator +from sage.all import Graph, graphs # type: ignore[attr-defined] # pylint: disable=no-name-in-module + + +def triangular_face_pairs(g: Graph) -> dict[frozenset, tuple]: + """For each edge of g (a triangulation), return the two third-vertices + of its incident triangular faces, keyed by frozenset({u, v}).""" + g_emb = g.copy() + if not g_emb.is_planar(set_embedding=True): + raise ValueError("graph is not planar") + pairs: dict[frozenset, list] = {} + for face in g_emb.faces(): + if len(face) != 3: + raise ValueError("graph is not a triangulation") + a, b, c = face[0][0], face[1][0], face[2][0] + for u, v, third in [(a, b, c), (b, c, a), (c, a, b)]: + pairs.setdefault(frozenset((u, v)), []).append(third) + return {k: tuple(v) for k, v in pairs.items()} + + +def is_flip_symmetric(g: Graph) -> bool: + """Return True iff g admits some admissible flip uv -> wx with G^flip ~= G.""" + pairs = triangular_face_pairs(g) + for u, v in g.edges(labels=False): + thirds = pairs.get(frozenset((u, v))) + if thirds is None or len(thirds) != 2: + continue + w, x = thirds + if g.has_edge(w, x): + continue + flipped = g.copy() + flipped.delete_edge(u, v) + flipped.add_edge(w, x) + if g.is_isomorphic(flipped): + return True + return False + + +def census(min_order: int, max_order: int, minimum_degree: int | None = None) -> None: + """Enumerate every maximal planar graph of order in [min_order, max_order] + (optionally restricted by minimum_degree) and print counts and density + of flip-symmetric graphs at each order.""" + for n in range(min_order, max_order + 1): + kwargs = {"minimum_connectivity": 3, "maximum_face_size": 3} + if minimum_degree is not None: + kwargs["minimum_degree"] = minimum_degree + total = 0 + flip_sym = 0 + gen: Iterator[Graph] = graphs.planar_graphs(n, **kwargs) + for g in gen: + total += 1 + if is_flip_symmetric(g): + flip_sym += 1 + if total % 1000 == 0: + print(f" order {n}: {total} checked, {flip_sym} flip-symmetric") + density = (flip_sym / total) if total else 0.0 + tag = f" (min_degree {minimum_degree})" if minimum_degree is not None else "" + print(f"n={n}{tag}: total={total} flip_symmetric={flip_sym} density={density:.6f}") + + +if __name__ == "__main__": + import sys + max_order = int(sys.argv[1]) if len(sys.argv) > 1 else 12 + min_order = int(sys.argv[2]) if len(sys.argv) > 2 else 4 + min_deg = int(sys.argv[3]) if len(sys.argv) > 3 else None + census(min_order, max_order, minimum_degree=min_deg) diff --git a/papers/maximal_planar_graph_edge_flipping/paper.aux b/papers/maximal_planar_graph_edge_flipping/paper.aux new file mode 100644 index 0000000..b17b3d3 --- /dev/null +++ b/papers/maximal_planar_graph_edge_flipping/paper.aux @@ -0,0 +1,16 @@ +\relax +\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Motivation}}{1}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\tocsection {}{2}{Preliminaries}}{1}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Flip-symmetric maximal planar graphs}}{1}{}\protected@file@percent } +\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces An edge flip replaces the diagonal $uv$ of the quadrilateral $uwvx$ with the diagonal $wx$.}}{2}{}\protected@file@percent } +\newlabel{def:flip-symmetric}{{3.1}{2}} +\@writefile{toc}{\contentsline {section}{\tocsection {}{4}{A minimal four-colorable counterexample}}{2}{}\protected@file@percent } +\newlabel{thm:min-five-chromatic-not-flip-symmetric}{{4.1}{2}} +\@writefile{toc}{\contentsline {section}{\tocsection {}{5}{Flip symmetry frequency}}{2}{}\protected@file@percent } +\newlabel{sec:frequency}{{5}{2}} +\newlabel{tocindent-1}{0pt} +\newlabel{tocindent0}{0pt} +\newlabel{tocindent1}{17.77782pt} +\newlabel{tocindent2}{0pt} +\newlabel{tocindent3}{0pt} +\gdef \@abspage@last{3} diff --git a/papers/maximal_planar_graph_edge_flipping/paper.fdb_latexmk b/papers/maximal_planar_graph_edge_flipping/paper.fdb_latexmk new file mode 100644 index 0000000..c9edf33 --- /dev/null +++ b/papers/maximal_planar_graph_edge_flipping/paper.fdb_latexmk @@ -0,0 +1,128 @@ +# Fdb version 3 +["pdflatex"] 1778730894 "paper.tex" "paper.pdf" "paper" 1778730894 + "/usr/local/texlive/2022/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1246382020 916 f87d7c45f9c908e672703b83b72241a3 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam5.tfm" 1246382020 924 9904cf1d39e9767e7a3622f2a125a565 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm" 1246382020 928 2dc8d444221b7a635bb58038579b861a "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm" 1246382020 908 2921f8a10601f252058503cc6570e581 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm5.tfm" 1246382020 940 75ac932a52f80982a9f8ea75d03a34cf "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm" 1246382020 940 228d6584342e91276bf566bcf9716b83 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmbx10.tfm" 1136768653 1328 c834bbb027764024c09d3d2bf908b5f0 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmcsc10.tfm" 1136768653 1300 63a6111ee6274895728663cf4b4e7e81 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmmi6.tfm" 1136768653 1512 f21f83efb36853c0b70002322c1ab3ad "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmmi8.tfm" 1136768653 1520 eccf95517727cb11801f4f1aee3a21b4 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmr6.tfm" 1136768653 1300 b62933e007d01cfd073f79b963c01526 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmr8.tfm" 1136768653 1292 21c1c5bfeaebccffdb478fd231a0997d "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmsy6.tfm" 1136768653 1116 933a60c408fc0a863a92debe84b2d294 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmsy8.tfm" 1136768653 1120 8b7d695260f3cff42e636090a8002094 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmti10.tfm" 1136768653 1480 aa8e34af0eb6a2941b776984cf1dfdc4 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmti8.tfm" 1136768653 1504 1747189e0441d1c18f3ea56fafc1c480 "" + "/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmtt10.tfm" 1136768653 768 1321e9409b4137d6fb428ac9dc956269 "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb" 1248133631 34811 78b52f49e893bcba91bd7581cdc144c0 "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmcsc10.pfb" 1248133631 32001 6aeea3afe875097b1eb0da29acd61e28 "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb" 1248133631 30251 6afa5cb1d0204815a708a080681d4674 "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb" 1248133631 36299 5f9df58c2139e7edcf37c8fca4bd384d "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb" 1248133631 36281 c355509802a035cadc5f15869451dcee "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb" 1248133631 35752 024fb6c41858982481f6968b5fc26508 "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb" 1248133631 32762 224316ccc9ad3ca0423a14971cfa7fc1 "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb" 1248133631 32726 0a1aea6fcd6468ee2cf64d891f5c43c8 "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb" 1248133631 32569 5e5ddc8df908dea60932f3c484a54c0d "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb" 1248133631 37944 359e864bd06cde3b1cf57bb20757fb06 "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmti8.pfb" 1248133631 35660 fb24af7afbadb71801619f1415838111 "" + "/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb" 1248133631 31099 c85edf1dd5b9e826d67c9c7293b6786c "" + "/usr/local/texlive/2022/texmf-dist/tex/context/base/mkii/supp-pdf.mkii" 1461363279 71627 94eb9990bed73c364d7f53f960cc8c5b "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1601326656 992 855ff26741653ab54814101ca36e153c "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1601326656 43820 1fef971b75380574ab35a0d37fd92608 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1601326656 19324 f4e4c6403dd0f1605fd20ed22fa79dea "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1601326656 6038 ccb406740cc3f03bbfb58ad504fe8c27 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1601326656 6944 e12f8f7a7364ddf66f93ba30fb3a3742 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1601326656 4883 42daaf41e27c3735286e23e48d2d7af9 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1601326656 2544 8c06d2a7f0f469616ac9e13db6d2f842 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1601326656 44195 5e390c414de027626ca5e2df888fa68d "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1601326656 17311 2ef6b2e29e2fc6a2fc8d6d652176e257 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1601326656 21302 788a79944eb22192a4929e46963a3067 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1601326656 9690 01feb7cde25d4293ef36eef45123eb80 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1601326656 33335 dd1fa4814d4e51f18be97d88bf0da60c "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1601326656 2965 4c2b1f4e0826925746439038172e5d6f "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1601326656 5196 2cc249e0ee7e03da5f5f6589257b1e5b "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1601326656 20726 d4c8db1e2e53b72721d29916314a22ea "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1601326656 35249 abd4adf948f960299a4b3d27c5dddf46 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1601326656 21989 fdc867d05d228316de137a9fc5ec3bbe "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1601326656 8893 e851de2175338fdf7c17f3e091d94618 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1608933718 11518 738408f795261b70ce8dd47459171309 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1621110968 186007 6e7dfe0bd57520fd5f91641aa72dcac8 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1601326656 32995 ac577023e12c0e4bd8aa420b2e852d1a "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1557692582 3063 8c415c68a0f3394e45cfeca0b65f6ee6 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1601326656 521 8e224a7af69b7fee4451d1bf76b46654 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1601326656 13391 84d29568c13bdce4133ab4a214711112 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1601326656 104935 184ed87524e76d4957860df4ce0cd1c3 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1601326656 10165 cec5fa73d49da442e56efc2d605ef154 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1601326656 28178 41c17713108e0795aac6fef3d275fbca "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1601326656 9989 c55967bf45126ff9b061fa2ca0c4694f "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1601326656 3865 ac538ab80c5cf82b345016e474786549 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1557692582 3177 27d85c44fbfe09ff3b2cf2879e3ea434 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1621110968 11024 0179538121bc2dba172013a3ef89519f "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1608933718 7854 4176998eeefd8745ac6d2d4bd9c98451 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1601326656 3379 781797a101f647bab82741a99944a229 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1601326656 92405 f515f31275db273f97b9d8f52e1b0736 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1601326656 37376 11cd75aac3da1c1b152b2848f30adc14 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1601326656 8471 c2883569d03f69e8e1cabfef4999cfd7 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1601326656 21201 08d231a2386e2b61d64641c50dc15abd "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1601326656 16121 346f9013d34804439f7436ff6786cef7 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1621110968 44784 cedaa399d15f95e68e22906e2cc09ef8 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1621110968 465 d68603f8b820ea4a08cce534944db581 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1601326656 926 2963ea0dcf6cc6c0a770b69ec46a477b "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1601326656 5546 f3f24d7898386cb7daac70bdd2c4d6dc "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def" 1601326656 12601 4786e597516eddd82097506db7cfa098 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1621110968 61163 9b2eefc24e021323e0fc140e9826d016 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1601326656 1896 b8e0ca0ac371d74c0ca05583f6313c91 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1601326656 7778 53c8b5623d80238f6a20aa1df1868e63 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1606168878 23997 a4bed72405fa644418bea7eac2887006 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1621110968 37060 797782f0eb50075c9bc952374d9a659a "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex" 1601326656 37431 9abe862035de1b29c7a677f3205e3d9f "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1601326656 4494 af17fb7efeafe423710479858e42fa7e "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex" 1601326656 7251 fb18c67117e09c64de82267e12cd8aa4 "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1621110968 29274 e15c5b7157d21523bd9c9f1dfa146b8e "" + "/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1621110968 6825 a2b0ea5b539dda0625e99dd15785ab59 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls" 1591045760 61881 a7369c346c2922a758ae6283cc1ed014 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1359763108 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd" 1359763108 961 6518c6525a34feb5e8250ffa91731cff "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsb.fd" 1359763108 961 d02606146ba5601b5645f987c92e6193 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1622667781 2222 da905dc1db75412efd2d8f67739f0596 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty" 1622667781 4173 bc0410bcccdff806d6132d3c1ef35481 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty" 1636758526 87648 07fbb6e9169e00cb2a2f40b31b2dbf3c "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty" 1636758526 4128 8eea906621b6639f7ba476a472036bbe "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty" 1636758526 2444 926f379cc60fcf0c6e3fee2223b4370d "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty" 1579991033 13886 d1306dcf79a944f6988e688c1785f9ce "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1459978653 1213 620bba36b25224fa9b7e1ccb4ecb76fd "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1465944070 1224 978390e9c2234eab29404bc21b268d1e "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/graphics-def/pdftex.def" 1601931164 19103 48d29b6e2a64cb717117ef65f107b404 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty" 1622581934 18399 7e40f80366dffb22c0e7b70517db5cb4 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty" 1636758526 7996 a8fb260d598dcaf305a7ae7b9c3e3229 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty" 1622581934 2671 4de6781a30211fe0ea4c672e4a2a8166 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty" 1636758526 4009 187ea2dc3194cd5a76cd99a8d7a6c4d0 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def" 1644269979 29921 d0acc05a38bd4aa3af2017f0b7c137ce "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg" 1279039959 678 4792914a8f45be57bb98413425e4c7af "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1601326656 1090 bae35ef70b3168089ef166db3e66f5b2 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1601326656 410 615550c46f918fcbee37641b02a862d9 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1601326656 21013 f4ff83d25bb56552493b030f27c075ae "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1601326656 989 c49c8ae06d96f8b15869da7428047b1e "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1601326656 339 c2e180022e3afdb99c7d0ea5ce469b7d "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1601326656 306 c56a323ca5bf9242f54474ced10fca71 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1601326656 443 8c872229db56122037e86bcda49e14f3 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1601326656 348 ee405e64380c11319f0e249fed57e6c5 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1601326656 274 5ae372b7df79135d240456a1c6f2cf9a "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1601326656 325 f9f16d12354225b7dd52a3321f085955 "" + "/usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty" 1635798903 56029 3f7889dab51d620aa43177c391b7b190 "" + "/usr/local/texlive/2022/texmf-dist/web2c/texmf.cnf" 1646502317 40171 cdab547de63d26590bebb3baff566530 "" + "/usr/local/texlive/2022/texmf-var/fonts/map/pdftex/updmap/pdftex.map" 1647878959 4410336 7d30a02e9fa9a16d7d1f8d037ba69641 "" + "/usr/local/texlive/2022/texmf-var/web2c/pdftex/pdflatex.fmt" 1665017617 2826443 7e98410c533054b636c6470db83a27bc "" + "/usr/local/texlive/2022/texmf.cnf" 1647878952 577 209b46be99c9075fd74d4c0369380e8c "" + "paper.aux" 1778730894 1086 27c5b16223020a876dd8d169d7dbeb8e "pdflatex" + "paper.tex" 1778730888 8284 c20bb0e0a06c6c5be3373212d2684cdf "" + (generated) + "paper.aux" + "paper.log" + "paper.pdf" diff --git a/papers/maximal_planar_graph_edge_flipping/paper.fls b/papers/maximal_planar_graph_edge_flipping/paper.fls new file mode 100644 index 0000000..90deaa0 --- /dev/null +++ b/papers/maximal_planar_graph_edge_flipping/paper.fls @@ -0,0 +1,450 @@ +PWD /Users/didericis/Code/math-research/papers/maximal_planar_graph_edge_flipping +INPUT /usr/local/texlive/2022/texmf.cnf +INPUT /usr/local/texlive/2022/texmf-dist/web2c/texmf.cnf +INPUT /usr/local/texlive/2022/texmf-var/web2c/pdftex/pdflatex.fmt +INPUT paper.tex +OUTPUT paper.log +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/pgf.revision.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/pgf.revision.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfint.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT ./paper.aux +INPUT paper.aux +INPUT paper.aux +OUTPUT paper.aux +INPUT /usr/local/texlive/2022/texmf-dist/fonts/map/fontname/texfonts.map +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmr8.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmr6.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmmi8.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmmi6.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmsy8.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmsy6.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam5.tfm +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsb.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsb.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsb.fd +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsb.fd +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm5.tfm +INPUT /usr/local/texlive/2022/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/local/texlive/2022/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/local/texlive/2022/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/local/texlive/2022/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmcsc10.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmti8.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmbx10.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmcsc10.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmti10.tfm +OUTPUT paper.pdf +INPUT /usr/local/texlive/2022/texmf-var/fonts/map/pdftex/updmap/pdftex.map +INPUT /usr/local/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmtt10.tfm +INPUT paper.aux +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmcsc10.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmti8.pfb +INPUT /usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb diff --git a/papers/maximal_planar_graph_edge_flipping/paper.log b/papers/maximal_planar_graph_edge_flipping/paper.log new file mode 100644 index 0000000..7b2012d --- /dev/null +++ b/papers/maximal_planar_graph_edge_flipping/paper.log @@ -0,0 +1,533 @@ +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022) (preloaded format=pdflatex 2022.10.5) 13 MAY 2026 23:54 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**paper.tex +(./paper.tex +LaTeX2e <2021-11-15> patch level 1 +L3 programming layer <2022-02-24> +(/usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls +Document Class: amsart 2020/05/29 v2.20.6 +\linespacing=\dimen138 +\normalparindent=\dimen139 +\normaltopskip=\skip47 +(/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty +Package: amsmath 2021/10/15 v2.17l AMS math features +\@mathmargin=\skip48 + +For additional information on amsmath, use the `?' option. +(/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty +Package: amstext 2021/08/26 v2.01 AMS text + +(/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty +File: amsgen.sty 1999/11/30 v2.0 generic functions +\@emptytoks=\toks16 +\ex@=\dimen140 +)) +(/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty +Package: amsbsy 1999/11/29 v1.2d Bold Symbols +\pmbraise@=\dimen141 +) +(/usr/local/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty +Package: amsopn 2021/08/26 v2.02 operator names +) +\inf@bad=\count185 +LaTeX Info: Redefining \frac on input line 234. +\uproot@=\count186 +\leftroot@=\count187 +LaTeX Info: Redefining \overline on input line 399. +\classnum@=\count188 +\DOTSCASE@=\count189 +LaTeX Info: Redefining \ldots on input line 496. +LaTeX Info: Redefining \dots on input line 499. +LaTeX Info: Redefining \cdots on input line 620. +\Mathstrutbox@=\box50 +\strutbox@=\box51 +\big@size=\dimen142 +LaTeX Font Info: Redeclaring font encoding OML on input line 743. +LaTeX Font Info: Redeclaring font encoding OMS on input line 744. +\macc@depth=\count190 +\c@MaxMatrixCols=\count191 +\dotsspace@=\muskip16 +\c@parentequation=\count192 +\dspbrk@lvl=\count193 +\tag@help=\toks17 +\row@=\count194 +\column@=\count195 +\maxfields@=\count196 +\andhelp@=\toks18 +\eqnshift@=\dimen143 +\alignsep@=\dimen144 +\tagshift@=\dimen145 +\tagwidth@=\dimen146 +\totwidth@=\dimen147 +\lineht@=\dimen148 +\@envbody=\toks19 +\multlinegap=\skip49 +\multlinetaggap=\skip50 +\mathdisplay@stack=\toks20 +LaTeX Info: Redefining \[ on input line 2938. +LaTeX Info: Redefining \] on input line 2939. +) +LaTeX Font Info: Trying to load font information for U+msa on input line 397 +. + +(/usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +File: umsa.fd 2013/01/14 v3.01 AMS symbols A +) +(/usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty +Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support +\symAMSa=\mathgroup4 +\symAMSb=\mathgroup5 +LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. +LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' +(Font) U/euf/m/n --> U/euf/b/n on input line 106. +) +\copyins=\insert199 +\abstractbox=\box52 +\listisep=\skip51 +\c@part=\count197 +\c@section=\count198 +\c@subsection=\count266 +\c@subsubsection=\count267 +\c@paragraph=\count268 +\c@subparagraph=\count269 +\c@figure=\count270 +\c@table=\count271 +\abovecaptionskip=\skip52 +\belowcaptionskip=\skip53 +\captionindent=\dimen149 +\thm@style=\toks21 +\thm@bodyfont=\toks22 +\thm@headfont=\toks23 +\thm@notefont=\toks24 +\thm@headpunct=\toks25 +\thm@preskip=\skip54 +\thm@postskip=\skip55 +\thm@headsep=\skip56 +\dth@everypar=\toks26 +) +(/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +(/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +(/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.te +x +\pgfutil@everybye=\toks27 +\pgfutil@tempdima=\dimen150 +\pgfutil@tempdimb=\dimen151 + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-li +sts.tex)) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def +\pgfutil@abb=\box53 +) (/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/pgf.revision.tex) +Package: pgfrcs 2021/05/15 v3.1.9a (3.1.9a) +)) +Package: pgf 2021/05/15 v3.1.9a (3.1.9a) + +(/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +(/usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty +Package: graphicx 2021/09/16 v1.2d Enhanced LaTeX Graphics (DPC,SPQR) + +(/usr/local/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty +Package: keyval 2014/10/28 v1.15 key=value parser (DPC) +\KV@toks@=\toks28 +) +(/usr/local/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty +Package: graphics 2021/03/04 v1.4d Standard LaTeX Graphics (DPC,SPQR) + +(/usr/local/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty +Package: trig 2021/08/11 v1.11 sin cos tan (DPC) +) +(/usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration +) +Package graphics Info: Driver file: pdftex.def on input line 107. + +(/usr/local/texlive/2022/texmf-dist/tex/latex/graphics-def/pdftex.def +File: pdftex.def 2020/10/05 v1.2a Graphics/color driver for pdftex +)) +\Gin@req@height=\dimen152 +\Gin@req@width=\dimen153 +) +(/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +Package: pgfsys 2021/05/15 v3.1.9a (3.1.9a) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +\pgfkeys@pathtoks=\toks29 +\pgfkeys@temptoks=\toks30 + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.c +ode.tex +\pgfkeys@tmptoks=\toks31 +)) +\pgf@x=\dimen154 +\pgf@y=\dimen155 +\pgf@xa=\dimen156 +\pgf@ya=\dimen157 +\pgf@xb=\dimen158 +\pgf@yb=\dimen159 +\pgf@xc=\dimen160 +\pgf@yc=\dimen161 +\pgf@xd=\dimen162 +\pgf@yd=\dimen163 +\w@pgf@writea=\write3 +\r@pgf@reada=\read2 +\c@pgf@counta=\count272 +\c@pgf@countb=\count273 +\c@pgf@countc=\count274 +\c@pgf@countd=\count275 +\t@pgf@toka=\toks32 +\t@pgf@tokb=\toks33 +\t@pgf@tokc=\toks34 +\pgf@sys@id@count=\count276 + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg +File: pgf.cfg 2021/05/15 v3.1.9a (3.1.9a) +) +Driver file for pgf: pgfsys-pdftex.def + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.d +ef +File: pgfsys-pdftex.def 2021/05/15 v3.1.9a (3.1.9a) + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-p +df.def +File: pgfsys-common-pdf.def 2021/05/15 v3.1.9a (3.1.9a) +))) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath. +code.tex +File: pgfsyssoftpath.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgfsyssoftpath@smallbuffer@items=\count277 +\pgfsyssoftpath@bigbuffer@items=\count278 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol. +code.tex +File: pgfsysprotocol.code.tex 2021/05/15 v3.1.9a (3.1.9a) +)) (/usr/local/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty +Package: xcolor 2021/10/31 v2.13 LaTeX color extensions (UK) + +(/usr/local/texlive/2022/texmf-dist/tex/latex/graphics-cfg/color.cfg +File: color.cfg 2016/01/02 v1.6 sample color configuration +) +Package xcolor Info: Driver file: pdftex.def on input line 227. +Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1352. +Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1356. +Package xcolor Info: Model `RGB' extended on input line 1368. +Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1370. +Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1371. +Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1372. +Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1373. +Package xcolor Info: Model `Gray' substituted by `gray' on input line 1374. +Package xcolor Info: Model `wave' substituted by `hsb' on input line 1375. +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +Package: pgfcore 2021/05/15 v3.1.9a (3.1.9a) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex +\pgfmath@dimen=\dimen164 +\pgfmath@count=\count279 +\pgfmath@box=\box54 +\pgfmath@toks=\toks35 +\pgfmath@stack@operand=\toks36 +\pgfmath@stack@operation=\toks37 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code. +tex +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic +.code.tex) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigo +nometric.code.tex) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.rando +m.code.tex) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.compa +rison.code.tex) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base. +code.tex) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round +.code.tex) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc. +code.tex) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integ +erarithmetics.code.tex))) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex +\c@pgfmathroundto@lastzeros=\count280 +)) (/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfint.code.tex) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.co +de.tex +File: pgfcorepoints.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgf@picminx=\dimen165 +\pgf@picmaxx=\dimen166 +\pgf@picminy=\dimen167 +\pgf@picmaxy=\dimen168 +\pgf@pathminx=\dimen169 +\pgf@pathmaxx=\dimen170 +\pgf@pathminy=\dimen171 +\pgf@pathmaxy=\dimen172 +\pgf@xx=\dimen173 +\pgf@xy=\dimen174 +\pgf@yx=\dimen175 +\pgf@yy=\dimen176 +\pgf@zx=\dimen177 +\pgf@zy=\dimen178 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconst +ruct.code.tex +File: pgfcorepathconstruct.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgf@path@lastx=\dimen179 +\pgf@path@lasty=\dimen180 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage +.code.tex +File: pgfcorepathusage.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgf@shorten@end@additional=\dimen181 +\pgf@shorten@start@additional=\dimen182 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.co +de.tex +File: pgfcorescopes.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgfpic=\box55 +\pgf@hbox=\box56 +\pgf@layerbox@main=\box57 +\pgf@picture@serial@count=\count281 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicst +ate.code.tex +File: pgfcoregraphicstate.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgflinewidth=\dimen183 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransform +ations.code.tex +File: pgfcoretransformations.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgf@pt@x=\dimen184 +\pgf@pt@y=\dimen185 +\pgf@pt@temp=\dimen186 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.cod +e.tex +File: pgfcorequick.code.tex 2021/05/15 v3.1.9a (3.1.9a) +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.c +ode.tex +File: pgfcoreobjects.code.tex 2021/05/15 v3.1.9a (3.1.9a) +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathproce +ssing.code.tex +File: pgfcorepathprocessing.code.tex 2021/05/15 v3.1.9a (3.1.9a) +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.co +de.tex +File: pgfcorearrows.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgfarrowsep=\dimen187 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.cod +e.tex +File: pgfcoreshade.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgf@max=\dimen188 +\pgf@sys@shading@range@num=\count282 +\pgf@shadingcount=\count283 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.cod +e.tex +File: pgfcoreimage.code.tex 2021/05/15 v3.1.9a (3.1.9a) + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal. +code.tex +File: pgfcoreexternal.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgfexternal@startupbox=\box58 +)) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.co +de.tex +File: pgfcorelayers.code.tex 2021/05/15 v3.1.9a (3.1.9a) +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretranspare +ncy.code.tex +File: pgfcoretransparency.code.tex 2021/05/15 v3.1.9a (3.1.9a) +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns. +code.tex +File: pgfcorepatterns.code.tex 2021/05/15 v3.1.9a (3.1.9a) +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code. +tex +File: pgfcorerdf.code.tex 2021/05/15 v3.1.9a (3.1.9a) +))) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.cod +e.tex +File: pgfmoduleshapes.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgfnodeparttextbox=\box59 +) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code. +tex +File: pgfmoduleplot.code.tex 2021/05/15 v3.1.9a (3.1.9a) +) +(/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version +-0-65.sty +Package: pgfcomp-version-0-65 2021/05/15 v3.1.9a (3.1.9a) +\pgf@nodesepstart=\dimen189 +\pgf@nodesepend=\dimen190 +) +(/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version +-1-18.sty +Package: pgfcomp-version-1-18 2021/05/15 v3.1.9a (3.1.9a) +)) +(/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +(/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex) +) (/usr/local/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +Package: pgffor 2021/05/15 v3.1.9a (3.1.9a) + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex) +\pgffor@iter=\dimen191 +\pgffor@skip=\dimen192 +\pgffor@stack=\toks38 +\pgffor@toks=\toks39 +)) +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.cod +e.tex +Package: tikz 2021/05/15 v3.1.9a (3.1.9a) + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothan +dlers.code.tex +File: pgflibraryplothandlers.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgf@plot@mark@count=\count284 +\pgfplotmarksize=\dimen193 +) +\tikz@lastx=\dimen194 +\tikz@lasty=\dimen195 +\tikz@lastxsaved=\dimen196 +\tikz@lastysaved=\dimen197 +\tikz@lastmovetox=\dimen198 +\tikz@lastmovetoy=\dimen256 +\tikzleveldistance=\dimen257 +\tikzsiblingdistance=\dimen258 +\tikz@figbox=\box60 +\tikz@figbox@bg=\box61 +\tikz@tempbox=\box62 +\tikz@tempbox@bg=\box63 +\tikztreelevel=\count285 +\tikznumberofchildren=\count286 +\tikznumberofcurrentchild=\count287 +\tikz@fig@count=\count288 + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.cod +e.tex +File: pgfmodulematrix.code.tex 2021/05/15 v3.1.9a (3.1.9a) +\pgfmatrixcurrentrow=\count289 +\pgfmatrixcurrentcolumn=\count290 +\pgf@matrix@numberofcolumns=\count291 +) +\tikz@expandcount=\count292 + +(/usr/local/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie +s/tikzlibrarytopaths.code.tex +File: tikzlibrarytopaths.code.tex 2021/05/15 v3.1.9a (3.1.9a) +))) +\c@theorem=\count293 + +(/usr/local/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +File: l3backend-pdftex.def 2022-02-07 L3 backend support: PDF output (pdfTeX) +\l__color_backend_stack_int=\count294 +\l__pdf_internal_box=\box64 +) +(./paper.aux) +\openout1 = `paper.aux'. + +LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 55. +LaTeX Font Info: ... okay on input line 55. +LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 55. +LaTeX Font Info: ... okay on input line 55. +LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 55. +LaTeX Font Info: ... okay on input line 55. +LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 55. +LaTeX Font Info: ... okay on input line 55. +LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 55. +LaTeX Font Info: ... okay on input line 55. +LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 55. +LaTeX Font Info: ... okay on input line 55. +LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 55. +LaTeX Font Info: ... okay on input line 55. +LaTeX Font Info: Trying to load font information for U+msa on input line 55. + + (/usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd +File: umsa.fd 2013/01/14 v3.01 AMS symbols A +) +LaTeX Font Info: Trying to load font information for U+msb on input line 55. + + +(/usr/local/texlive/2022/texmf-dist/tex/latex/amsfonts/umsb.fd +File: umsb.fd 2013/01/14 v3.01 AMS symbols B +) +(/usr/local/texlive/2022/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +[Loading MPS to PDF converter (version 2006.09.02).] +\scratchcounter=\count295 +\scratchdimen=\dimen259 +\scratchbox=\box65 +\nofMPsegments=\count296 +\nofMParguments=\count297 +\everyMPshowfont=\toks40 +\MPscratchCnt=\count298 +\MPscratchDim=\dimen260 +\MPnumerator=\count299 +\makeMPintoPDFobject=\count300 +\everyMPtoPDFconversion=\toks41 +) (/usr/local/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf +Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 +85. + +(/usr/local/texlive/2022/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv +e +)) + +LaTeX Warning: `h' float specifier changed to `ht'. + +[1{/usr/local/texlive/2022/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] +Overfull \hbox (6.71799pt too wide) in paragraph at lines 171--175 +[]\OT1/cmr/bx/n/10 Definition 3.1 \OT1/cmr/m/n/10 (Flip-sym-met-ric graph)\OT1/ +cmr/bx/n/10 . []\OT1/cmr/m/n/10 A max-i-mal pla-nar graph $\OML/cmm/m/it/10 G$ +\OT1/cmr/m/n/10 is \OT1/cmr/m/it/10 flip-symmetric + [] + + +Overfull \hbox (1.86401pt too wide) in paragraph at lines 187--199 +\OT1/cmr/m/n/10 voked through Sage-Math as \OT1/cmtt/m/n/10 graphs.planar[]grap +hs \OT1/cmr/m/n/10 with \OT1/cmtt/m/n/10 minimum[]connectivity $\OT1/cmr/m/n/10 + = + [] + +[2] [3] (./paper.aux) ) +Here is how much of TeX's memory you used: + 13153 strings out of 478268 + 265523 string characters out of 5846347 + 542763 words of memory out of 5000000 + 30991 multiletter control sequences out of 15000+600000 + 475834 words of font info for 54 fonts, out of 8000000 for 9000 + 1302 hyphenation exceptions out of 8191 + 100i,8n,104p,386b,794s stack positions out of 10000i,1000n,20000p,200000b,200000s + +Output written on paper.pdf (3 pages, 160434 bytes). +PDF statistics: + 77 PDF objects out of 1000 (max. 8388607) + 47 compressed objects within 1 object stream + 0 named destinations out of 1000 (max. 500000) + 13 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/papers/maximal_planar_graph_edge_flipping/paper.pdf b/papers/maximal_planar_graph_edge_flipping/paper.pdf new file mode 100644 index 0000000000000000000000000000000000000000..87147208b8b3302d48194973232a6eac8f146fb1 GIT binary patch literal 160434 zcma%gLvSttvt?}Cwr%6awsG^twr$(CZQHhOCpYH&!_AwjnN!tO-J9-BFAm5R#s1JU zGqA&u&o7Ux!*CEW5!o4A!tn9IFv;B?#kKchm`dIt>1dTUm$+YmSQ^pbQVi zt;<%3US~4y9H7q!osq)Y(yg2UTYn!Gab=SRO_xj6iHmF7)LDH2nYphY`|s;6+LReQ zr;KsawKi5;wyE}PfHHG#=Ek$-3$cgOL!E{lgZ>=mrl27x9u6%6bri!)L3;(^VUh12IDDgh1%oL zh;IAwUD{nOgTXJCHbSv_5CDTuZCVl%7JIa#G=#zSvUKuHglsBQP9O8)e!c>rJ+LLs zVm7q3-FL`|GmTacPbX}-!Ff{F;UXn4C%c&ZiQmJl?KO~Mx;=P^cbt-_-=mNDFQlHN zBU2~k8WEkpXWj0lcfw(`m!@?&Z_P!Cot>ZUs=I)Dq^zS}O39}n;8U)5YUs*M&9|@g zwz0JK)6y@F-rWdwS22qGHhs@J@{EcXY9eDv>kU3rC?PrERe)f>n@8qRu3;z#R~J%3 zlFa(%<*92%Fm20Q6tTu|GMxzPLJHxDtlfkfv&Pook1F)!TJ4f=4kzH-YEn%}A~h-1 zp<=6}uXIriV>&&)GOuW9U1S>PIbAhWiyAWOp2_T7Ew&``)hReOZ}y=&r+CBLNZ92L z@zvSlv$KaJLpoK8x3|bN4)c)-lLA=op9y#xg9<|Fg+;hkr8)O;;{vHAJwyr)5$W}Yx3PH+5ep=J5*Q29B{>G)+>IdRY$4pH-gRa2 zHgh@Jf(OeV5v?@}Tdg2lu1y2Q5>G{hOA4dTt2=1M-C)sntNzpTf$*14@b#X6dqILLq2(=-Rip6jmCaa>yWk1coLUAcD4(C24Av z7-lw(>&m~5e);vvsv~FKUVYS14u8oGJ#TDOK}b$-*q59x)`*~LvK|@ix?{=80g(Rs zid$opS4XI|%q=N`z+LkeZ5WBkmD6rh_Z)vhcOqTc%w2s`yj$q6I>BB<=SD7Tx#WWS z!<{`49X1@&zEC}M0)jEu$=k77y_-j3bH9WPBzz6`Re|GFzP=S>IK2|1AWq%c?a`rx^F>^F>N#}Dkc z-njSsYrw#s3nwu6PAFUG2j6B4g~xu(JY7(5VN*j@yU~`wx4A~F z2Yq^yTKt-9f2coRwTdu=>^e2kQuSjag9z^!VU{8y(+n)e<>-RETY`Znrl6_v~34)-s};bgLFApg9|gspv0m^=&YcvB_JB7L?X zDqOX@_m8ocfjYeh^6ZBf<}CSL6o3oW+49n=gRAu)ld8A=S(s-&5|$1|*N5T~*Dmyn zi+o6q9t1q74Hdq8Z5z}x@*GYvE}pUiJy9ZzzaTOSmP2d$eJc$Ic|LG(4MPF`8ZudZ zl4|r7R9#U7)*MkLA3`_vQ7z~$0%q`2f3RSW{;?2aBPgzQuB50UXsO^v+l1(kxuw9t z1`x@MNoa0Eb5pCyei+T<^fSObRBddGUq@k_fen51LdqZW;TqdopO8 z_xI1W|5;Wp#_d($vA{JIIB-Hl4bokhL^u;|HFXMZ{;4Ku#Id}HCPfVa?fw0J(4&P> zFtFrOQDvwCojSm`ZBN`S(6Atdr?D5hUF*s-l#?1S&Jv1GF5_W@ZH8s+B83okj$krA zS@<3$dTd&zo(&fri7^6M2G`gJk*CN89cBDFIe6)9b4^*kpFh20$;`c#3&bm#r7SO3 zYZACAI3QK)P&KbvlvMxg2nUwq3y&^+mr$WUaOKQ!;3q(O=DpqjnQSEbt*d4}L2X%YH<#koMRc^ems*DHeluY;K0eNve0v;oLlzIKF)I;kKWd6#= z1^>Q4%k=15++NBfMJ?9SrwN|sGEz9d^q^%jqxrbaW}+B@{}AFwFybE#a4vafUx}Q^ z2BFRXzR0@x&~25Xkq|ra_KOZ5pj?$wiVnzv7wD|`9;Hg`QMb z#>eg`c=-a>IF3N>#doUn%x6CANDP|+eO1uE#eo%109yn9nkhy71RHq0R^9<~Hy>r! zy4~BVER@DX{F71$P213l3XnsQtnsFdixpGVCZKVAl+b}QJ?pS)ZsX-Y1JEa2J|&5Y z?6u+i`X`a?{`1v+iKrX3PN>Dl1#r=QLo7^ud4tDj&0{yeR);~9uy9#fxoL*)QI3j` z4<ec35J z=ex0{L-T24WeuBi0rG%^!l5@%>al#@bv7Xa!nH;t#)uN6rP|cdYT~oVJgD`J_M|8NC?g1^|C`(^}R~JgL!3Zd9|FrX}W~8ihKLX3dw%7MhD1`ey zq@>N4gqI&spUIX;7=W$G|KjHV>Ha&fXJPrT1fPwGiT(eV;J4^VrEQHO_s-SzCwR{Z zc^V{^1tm$!e?J91S&sy4Mx*@^?DpfMsC)Z~+%{%RUvl~2QYF12NJ_!B3m%2~>%>KOH zWG`(98vGv3T=ji>{QT>>yOW&9uB+SIQEDfKw<%x2FUwDkke6AaTXXAUBYM+2D!!8( zt4Wv{gUI?OTqCHfE=q>ojgMu!`jX^@DQ$G7A36MP?64Z^Yx@gs^G?y5K$aw?)=cl2 z0VV4k&EqlXki=CQc6wWb%LH%p=I7C;%Q+i9a=2`;BdTsB zHWp!_J)&7gB|(qC6V2J$6iE%4LxdiJ=NyZGOOEkJIsek;mIf=!x+YE$^-FK0BP!0J zFy#iQcDoc?qm(pTNv}|(VwTFNDKGh&j-6+SnjI{x4@aw4MRLd+lfGc&x+zeVJBybrCec!8snOc$)^?f;z zQNFn}wyYElAEdLf*LWK>{GIUVM8*L_->xasYJQZMx_=O9-{hmj{BNfUo=Bc@C+Y{< zW}qsXqxmP7@Rp=yaI2wB)=ZCoTPsXE2QR~0YmP`hz9CVsBGhP>Yh+O?Og9HHwN(~S z8NMNZM%wWs)@W4;KX~s8&XWhR2klp5YSlbsfYuNj)QZDEFPd*DDnww;vi(tlK~P>= zqzHmq8 z`EZG#d2n@`yd7*9yLS$6j=q<73Nk~R$;nzLBSb{fo*)L;igG25Hyl5C-q%zkl4!3>L%0`G;bA})DV zqb>`-6)xOdS!D4o8mueGn1 zXpsR0beRKA&SDUZ!1RgqfWzXY;0s}`k@8D2F?Xf#33;5UC?5V6Fp0BJT{=qso8~^( z`2yC;_()UC&dCA~Lja&G{)Ei7U+v+Cz1$eid@07I69|lmmn*K4%B8m(M% zvOFP&IQUVxK&cs`HoObukE0B$Rq%^Ec1fr>275eLIeH^n@HL36FxsZF%m821s-zRF zO#&?D4hCCSJtJ(Xu!&33LMT&eO77ooec4@YdvW$WEe9odtcIu3#3-vB2QmdSncDwc zJpRwcBWT41{P~TUvkfu<-DCYH`v*>6DHdm{E=*4y$a2K-YGd#vCoS zI7*A`SZ}!T7aFl$?O^zL9~bmL@b?hJwzNb3Zb0HHn3MJY*$js(6GM!BowIDzZ_V{k z!KP+>ZcEZ)EY2K?a5N2~Kv%^)9WsmrrpYj7T!gj!S1AAw!z7%;s$8j7i>idg=gBmO zek%Kp?p0VBb$FAfjpyximDY-_l3VDv6(`0j-GYi|7Slq>Qn7@d0O8yAa=qY~Y?UjC z798hmqrLB_LBf|3&$D@?B8(LoNO>6%27^CYT9G2a*6tu{LE+oj%7H~J8SnbAIM#jkY-Nuy!vfh%`CauYe6E5f@=52yeR=3gS^djEH2VEZ z{Z5Rm$2PrwpvTs0*ofuQ-e+0Zj;mf4%&|6)>xbS9on|dd#V)GhZ=5f((Y0z)?Ja?`}%2sfI z4hal*tTDO@molxw9dY~4yg?IW$?j@i^u0q}%WNwOHhw!q&>m3BPaP^MAv83*bDI<5MHIP~W9P#p zmW09l)$;IX;NgJJ1r6D^Er2+cFH<*iiR86VucR860$hX514S8l6=*$*+Xq^t z6iVurxZkN??ACae>li^e82ASYdZ&>bFB*YBaLY$=0pZ!T>f4AQ-v7s0GF)(2V`!V( z+8JcTGdHk}!_7zeE*tqc=@7)l*fAoz4FlOea`bs!wsZT&G0lWwiir(cArb-lMWPe0 z>YE`i{=~^7zGh*NFi#yaIh++&sT7iPB3efx`XZlU5E$M-j~u)%te4SyL;V<^IMT&m zD_EG=e(lP4>SQChYo2 z``f4WqaGEro;N_cE^MBT8_wm#SD(($5G#3wJ-vg9)NzBCej)L@RJ(V?givL`JOf@} zH2yUsbEpeyk$-QR>g_<+wkJ%cPYOE1K?eOM@_S+7u#L#h_&M{_{@OQm_lK)enzk-#>7Jk9i4dibB1K#H*7K69#rApLZU#ff4c6D=mV$ovo`N&A& zII3)s&a8xF^+miYLZt&M6V1B4hvVgjC2vvsHPAdnlhQrrQ|WEe;U7R0-|fFZp(%_0 zj7LkRHTtze5sEpmbFpXWnhn17%f)N2#ti4#b@T8rk%l5jNATIlh;U%hP?!D(dq6Jp zSX{wsusI|r${^AXJ-=N2R-|~uCX~=`^q=mc_g*_AZC0GTBYZ{#39@x=7UAvg$4t0z zAKsiY-L3bKh$7&u#Ur5Da)qq|flUN0g&R_=k_kJ|ANu&(3QpMnLIfeKe%qFVKXhWH z03!&UPAW(JyJ}w>`av(Im4@prnieYYwWS~s(^22qzYabHXDdKozMWUF!>D{YFv5@v zBPdl&yGQe7NuK$SW4Me#fd=0y3X&XT&#lJqjnzRUXjFrTDe+!9w#4W^_*+m(&LpOi zMGa7{Hir4GO!z!yaE&6L;$vV+8avC;1cVg=B8SeF2>esSQ*RyBG4u6^ORUve`%l*( zm@n0Y>SAsKvM62Q9Gb+Lv-(-uC=-b4-MMaK{rUMTtNC?1PGd{RfUceevJe4V`=DroS^*Xn)oH z-!AK)eafbs-<<%^T8|?*g2mB{Wd@)AtMT{yhRmaiP^jtS4m`x-ki7ASat`t1gH?oT z=&CUt)D!1JGuz9^i{jSo84VZ3scwnSgP1dWK_!OMn#Kqlgo+rM)-%xb$*#q|x|`nq z?&6vT#1?s?s1ku67ZBRVtFhFIiXgpi#1<9!ul>LAp$gTnOJWAD9wLN-*_%;~VtSiV zFsfL;2nNqLwHq0mww@Xm05!a-=A)*qVDNwuhGqhcySTYnv#zoEiGLVgU+Xy^knG}r z&IXM@S6P-To^=0|F;qu8ejt(c|0VY&2`&yRP628VUbn;&*^SB@J1mSBb%T4VjD_xV zK30pmk7j^U*)F$ozKH51L$l~seXit?+~y?ruDlK=1-m`WnsXcWXM#3F??=e+=LFD+ zK2*W54td9DfE0uvu~gBk(h{p?IP?>h9RfT2zVjIdm_)75aHG~iHJp7&MCT21Lg*;{+?rSTySa>Mg4mFdN(zfGC*_rZwgLJH0Xq z#|t@H&^Wc!pTca0DH;ra);1Spx)5~v;=vVnK9>V&S&meuLQ~R7n!J;$OwE}Sn24Zo z8L^PSV~DN(y&iZGd-7m=S&b){GTDVAf{fW0Y@d}rzF)5$h!Q?~+rV8f{N>ZeRozM{ z-yo|mou^T~+!52BxE1cCQx&?Tyy4Tg{T$`f_c|15khwpO(R*Rkz-R4NaB%`?gU98e zbwh#zc^a+_AVGapkjDo!v`ayvzr1;o@EIJoJ0-a$-dp&c8}vfAjg5`@-bvfPUdI)G z>D}4ge$M#1Naih!3w?^Gyi9pl0>2)NquTvd@(!H-MFjaA1^K^-{{Ks=$HC0?KQ%wm z|2x$SQI)gXVuI^A(|Dr-ZL*YlShL+&HNoB_p>m|Ezad(eCJ}0do6yfP67)^J0HasT zr&NkVdw-MUjfqvlvB5BSiOOQHD$G_7p(^?&KCI5S5SolkMHiBLO4_c=ZGElk;+j}Y zzP?pQtdeNvjH}vtHDq!8v~h~s|FG@avLWPf7;L9WcSx>~vxmI8%C8&F0%BxjkI1X_>RO^J%WGt9XF3SSdU#p^$ zX_65tvc&$En0iIz%KK6 z3AhA5OY+z6vT8|KpF?o&xKL!EJF8Wm_^Z<-$&cpz$}*<`scH z_cZz8kyQT>g()qBm@3ZV*<1Q3*?N|>2NUa05e^=;HP=bEd)4B=22)C4k^%LUbKaZN zR^|LLP!%4|Q3%lz7jY?J4h!okB&UcZ{|LlX$ZQa#DsC5r`KZi#U#+mF{1Lwa3%uj} zI%KDnJKKx__cO`XZux5|&rJ_fJDLdH1WzcAtF!y3WsD1!gIXGk_1AX8P9x3!tN4hU&53}m%$fgX_qkFfBjrm z?*C#}F%vO!a3@%`ME|EHVrFAv;r##1tz%lj6|=2S7@{HC_6H!` z{yWU89`wgNnsJt{e#29-;5;V5s*Zt*QNl7cr&1J|LcI+`{P0) zNCiq-Sedj}u3t|u#SCT8^o|bhiyt;fs4d`}YT1|@;KxyhRH3fd@Y2y%Ahq}k^!bs0 zeY%PdTAl4&_e?CEU0tkLTimSv*>qs#7eKe_45>iq`K5Y8ao5|HK6Q^08W{x5zBCqE?fz&`?b zK&+tu`gXo;zQagqKLulAL2S$cM5DcyDULY6NSFxXL z?XFF&0an(J@^7pzfBl2&S^D342K%m@I9wVX?Hx?*TN}TN{)`H4cM~?X_he9w&mx%L z9m4%e_!_Ir3oX4my_$S=b#S~8xq03B5j)X(vHlaBWO8ybRBdZ>bOx7>`kwK?9QY+| z0_p@>&qz<_;%)~Lk^q_?T26e31G3CT=od_x_6y&$x_@>B;s%=Dn*#dK&H&x>+waMV z+3^R$q}0f-d-bFF!5v^_1)Z*z)dQjsf~EC(^Xu-53OMyUc>Uqk@&Izq*d2?*?tdCP z+f(?sLp6nHYcFV;a7yL2*Rj>Zn zppxRgZUr59BlEjXesko_2Q&DF-ul-kT74Epoj{0{oEB4Ms&Dj!vEzd<%G3&gs0zZZ z^XCW0$SA;!(G)E1=#IhcwyDJBDH}VcLEi8ZU=bRjb-%s@wcFs5qZiw~?=>Uo~@*BgI z0Thk$OJoXEbSxMS-cR+6XbjFI{Tsvu6z%v+Bo9>dC3w!CJJ^T3<^@*bH{Yd@;)jIm zuXIEBWLx%ZH~iI$9o_G@-&N4D(ntJBh;)4UMEK-pkopU}7uSC&xbL;%`rH4iX59RX z_(lNpWH(jUUJ8;*+(~ZbJel1A1Tl6hqf9e)FB{lgA? zC!f{H!`-vz=68GeiS-5h>(K!cKp>>@b^;zxZ5QsMCpqR5!<5VW{X_PP_ugxY!`}1S zxa77bVUligd0Cw=SEh4toS?tlqUTVFTYz4OdAGC*kzU^_cJe}*XEx-XlJV{OR$@^- zP*JFI@Bs|MK^P;1JFb4ufc?lPp}}BM0`lbb>MIrZ5%9S3FbDfN3AuvT z2sL-o^t5nk@B|{`8-JE%GItd3ZC^m?U-IsL5%73)>U#V4b{RK8mXE&sPK)hI!!CzD zH9gFu?pc~0q&S?J zqd4=5u7T|kYfJUGitj#UM%7!?7TS#PkJ`0iX>0#N;(mWnJ=2>-$&yRD`|bU)g?83a ztgQj!2!hoeXQe)g*V}C~y9~R1O<#E7ap$q;;)PMzdV02OO`Nw+qya#fb!K z4Xg222C(pPN80sl-brB9x6sx22d$LeD6f>s<4(jB z+A=@j{?KNIiRvvU72JG!g==tfVjgFw@ zc>FnB#u1t~NSlJZdvK$Jh)PH~K_xxr#xa%Ua8`!3iO_Z`c0PoNIDo9M<8>UbQd;th z2S{mHWXV1B^CC+LJCM=V#R{S;q6S$QQ3I5+0@|Fqw2u? zHIPH1)z1Tnm{X&pFEg53I1rwk%0~hg83(Tc6>@Mug%5gdu2N2~qpBp+9P;C=rxjxu zeJy_y^s5=~ckGmbb6GTPiNSO81ed_YB1C1BL?S|~cfy=am5c zf(?w$SK|^o>e6)iQ!0cG6Dhq(fNk@MAk&Eh*|I5V?ebp@LFJ2Bjy`&MhZf&+Ba7wDbjZrqVLm>_p>{ZX3*Z0r$E zoA51%fp0_4DKE~rqkm&|NwY~2=8wb|_OED@Pd*63Vadp72^WuOF4^$rHRjX|JXs2g zp7LNn0@o9d;@D`BgVbUOD$7+89GZ8BY82dzIQmFef%@{ z6BG}Impx5nA=T^7E9lw}I|AAiT2P^c%t^7BWdTK?nr`^#gmCT5Pwno_gT|=?dSvV2 zujX4As+gadA9e_cl@~ zlv!d7xW|mmRCs+^c4W_rNNM&g;nhj;G)EyoS#%eiGwOwK^@W1f3H+A!mp|UOZBl-n zTo2Gmvp49BxW@uTea8rOO4gb!*e)UH(t*Opo>F)Pg)-<9F+h6h%011$SY{3PB)H zV@ejQ2CIE3Rp`^tuIUW1lAOMR*4bPRT+Hkhwkt4o5JvX#mkjG{&wrn1mqaQc`j*J}zOiCg zXo%)V5U1&l)a0{E=kiS+vp2r9LX&VsJxM{UpbZ0ebP>mnmc3xU&mAXzY~a(_c_Q+t zO6?j!-74T=y3k781|&4d|8}YS^DFY;@E7xKRlGwifUZ1dl~6v^#*C(4-gC|}Sp<8r zPZ|Af8ODuvnZJ;S`f&HFLS}`hoo(>u^@}$m2ebc4y7-;=gf3KZcQ-14=gK zV5M1>3t89u!mvZ3+k)(o^zWUy=VX9?d-A%Ek~x6&{i*OO!}TA{4fv&>>CG8~N58K{ z`Q_}}-8YAS7_!pOlT?X?*64S>ipE$J>Gal`c@1S$BTSQa70@2w9kwnJS3>00OC~;j zzo}t001!PfjGFe}KYU~@sNqgKc<*q|m8x92rqexle3>p446clBxXV!)h9LbAcUNFQ zF`dIy%uTAN)AwUq)-`;&C)=pj(2^jpb_i2S{0zzC3sxOL^$3Gu%?pdFi<%%luA8QS z=kGr0Tg1CuVw}HtdqB&vYMhM#yka72rv}u140k+J?y-~!3Eu|_`J=~4Tu_@ELd9g| z^M9a=x`tQ|t+YOIR^qIIre>6`jBR~1Z0v=h@eR9-XurEiVsD+@2a5}G4Wmn^u=eb! zNbRiHj7cW~V0=?{Jn!1JWiRd809YA^%%1W?nbYC?POQ-R#dS;PhPhp^$WzNCM+s@3 zIU=+e0b>TGCSW%}hq19!Qp9Vz))26)MZ8pcti~O3Z=-YD+2LK{^gBztYNX^DgtX4# zxNtG&IqKGFe=Qg`@dtuf92{Tn)3#Dc{^=nV9E%Omn;v*v%bDyC5}s^+;QtjQhv&xE zZo++X5>2HoH(#F0$5VFzVQ%vs+gMA;vr$;dw?d@oLg=Dk(!UkVH}hA8TkTDa`2$T0ZHKzYXL-Nu@Gl%{M^PPRb zP6EI*P#%PEHNcMC^4l ziPAy_TD^nFm|6Lrkgo`fPs}V0(uq2-b6F0at%qk6R2GxyT7Ki^PEIVb>>l6sX6Z8ohV`8YSW> zDNnnc-AKSHR|T`y_jA%b6`e!R)*6S&N!(*UeT)#mzD3d0;hRG7{@PeL<}X+oPcCy&Oa#BAWTEj-KqGd!s@W7y&TF8j|)h|dD*SaN&|U0_dO z#N8ibY1E-mCz2|x(>@l)@?yYBUG%F5LMN3GIYE`Oe=p#}D&ne^LhpbjWEIN*rsZ^pF`7HXD;m6g*K&!`lbV0qK11shpTQ36^;lhlc zkfbAwUYtlD`fJby{jwu3`~=}QRZMh%0y;{+N?<4VSGOh}HNFyUL;Wz`lt?-2p9i-m zV4@tVU{zQxzI$ZSjP7z^1X33B1z{@q4meIF_m|iz6?MzQWV81{WuDD)Nw$L*b_?Rt z*t`w9Xrd!MkHO^`G#Xq-O5kc?s*?;Ht0+jso{?LcWq`#_EllPR7{#3i@eLC%tO#`& zH9Ab+!0jDQmhBIdU3;BM3UG)l90j1FYjv2Xi&?~5NgPsAxUEh<7q(Tfd{1BU5~wPT zv+@00rE6g4>e4lT0qkV?X&60T}+>3_W=S~pBjpexY4*%g(wf)oKs($1%NcOt}O zsWrQsP>dIOR=x>yW+(8l5|y)NI|d~uxDXl$$!oJs`y;x~5QP0sdI+42GzAFbj2M&jVBMMCTGIwKC~Qk(}h*&4_MM zsfLP?uqmXb>cEzgLoT>|Fgf&b`4j=enXWcvB40=Sm_HKb`T6hHe-rZIfocNu? z9s(>L1j&h z<2U#Q1S5`ve)de*0yG{QDN+Y3@ke+h5jZzSs~MuJdq=8iW%sCKOr810FzCXtW~=y` zQU*8pPW|rU;K&L_9>L#Vt$xcObzsvJA_)-l%WgZJ#d{Z0qC1a)Tb6|V*4A&?fz)(M zTW;PHk&}zCb#IAS0UxZlo!rF~ZuXOmEmoalRq?p?=+NI{2Dh{w4gK(Y)-o;=N~lBg z{f%L4yP&XvYmfU(5&KQ|4+lUudztA2w1w%n^<>W?hatTBo zl5E=SRZ-|snmCrg+a~?CE(AInr}kQxQ8CW_M1Z{4V{wC_Z09+n-a$2=5;)PLmeIL3 zB4x%)pLyqmZ^#h7e$C_jA`V$dJVc1&AL3!>z1o5qJJRII^xOOB`AQU5@HW4EkYWOE ztTbzpglu@;E0tpPy4!QJ4c+f+HJkXZd%i6u@0MOd85J$-!>)DkF9N%qFc)L%+Vg?g zX8#MVe`M=B@$|(*(O2L`^;Ocu36rOVhF8i&4C;q?x>*QBrw1axrzcZvR^%cfmsMNa z*l7Bte5E62D34F7>ijPF;$4!Ni;tc&4ZQlM&zjw_^@-%MwT`Yanet3gl?JD7gUB^2 zDBX=WQ1S$8_iJqbbPWJ$!Vy(@+>Khi0G^x<2}K*LHdVbeo1Lgq+ks#NA~;QNx?i+} zZSyVT#vAVljenQ$zLTUkJBDJwiZ1RszX6(%`tcaQa$ZA)V9Neo*S4M@{+*|6M)G*m zD(&GHy?{8`=E11NOgJtK6yM~KDWvA`ixA~-w=eHRm=Or|u@LDU!m1Y+5ZivV>dzxj zi_A#NtK{o*u(=9&odfjIOd9LRI~GP-gUQPYbJ9I28X>hEAY&F9jAQ$l&3jY%K?X8B za1HzWsbSQ|4(H*!s} z0*G~Qhf!csZ@bCYWog5arFyiuZUp{zw{KCm&w&n2HLhBWCjQ@{=g4d+@XTL_<-(2G zkw$6syGoPN{QL&lyilCUm#VUX1xtJ@rtf9E7Q~qMHl*JgRexJANbVB~?Jm zCyAJZ7i%Sa@(SJD)80%QQ3Et-izD`eW_b&31rsCsQOi{UH%Q4@XWHNh+44wIxKi8z zol?Qe8e_yGLXvl9!-A|zUj&T>ZLiMS1f6hTS$vj%gqi_ZjZVnvQ@zSCNcy(eJuy6|Z!7Yj*N9EJ? z3`!D3Hvc~vkgZehB8b)cW};K`FM80I@z{TcQe1TOJ|cP@W$R<}Z8ApkME#$xPNL{_TYFsKm5>wq zSvrO&58ksbma2yhPr^IO4v;^x~Yx6nC++)5=%%Az@+x1EZhnDJ6VBOYN z3L5$$E9Bz83n5-(WYad^#RsApv)D>KJ+Cx-M1COA*Vs^uIwRcE9xIl|z7fkA;CfE+ z!t!P@9zU0vN7InP94%h{@w@C-{d+fR~E7b!(&u2zREk@@U! zR9#k+;cw8CceS`FiaG%Q#|C z9($Nq%xIb}xxGU0;K`iObsknQi9Ca^{AKfQo~<+n3BU=o_j5%vamn<{EMs;NQ-2!K zfqA~N`Y2b}vZkvtnGioSrTFs*Ps#t9!U|7soWI3z0VDz=W0Ut!hOLuO0juQljYgr@ zQ5gAX^HwOevj?WD(=OMumtKZD0#8IdIU+bKN5JHM9Ur;L_3uq2vHFwK<8;~a9{4mS zpf;}{gQ+{%2)}lLK-zF4v2$rDx8CY~DBG+bEMt4yeh_?h$fCPi&>5Prv5*2f6|91C z=`GU)9FLwk+QasK371H9f*=dRFT(_pBduc{XIv{_GR<3=;$gAkqGvqd%zt+q!+f{K zHO8^9iL?o!-+VCZORVjXCT1z5gA7A#{$UvH|8Z%Ai{_!)UWUC^GSv)m`!q{-6p;KmC zXzcN1tW@UW8JI<(A%(w6=cCONQnY_LxI;s3(e|kY9C9t=N5*?yEOBM@oiy4``Emkv zC2LF?=PE66RmA3F5Xgp1Ml5K0v|xjnioUxeoUq3cCBD{9{rQoLa*EQ3PZWMsN1-%| zKZ%0g&e}Bg0`2rhb?Fs1RA#7-oEasH{qXQ-;foI4eF_GaC~9pV!8{shZGCK!B2KQl zjzj_?gM8TfXsG+ejR9DbWsc+!WT{X|>yELF^kjE0p0CbT{QTX>TM;7hR*Tz%!lb^QI6>bIgUnumlG8u_XCvyRfnuYkJ)*=TQ@)cee^HB1cs zlmkR~fy3e;^cW6zyp_vGjds>Wc$gBu{^dtodW%C5PP1moU|_=n6Dzk+XCZUHP7WOu zx5FiV1q#6uGBbpIpRNBT{4y?-A~ERocu&@Gz-oaLS3P2b+Pt)A8bPP1P)tsnyrVPs&gdPpmYIT(<{=X!P8%CG)Pe)g6h^#uc4eE0goYRtp5m_wpSYQrs zFdnDIh{syApDQl_NHv0a>h?jfl>{Us*^D@0V;G37+3V+M7$>mQme6K~hsIZ-3UV_# z>$i5<9{iJunQjFoT)bomTPG0#iW0Gvph|?=AVwS}0YeApk&`rjxES@-ZGk+wFL)o2 zawreb9XHW&Z!FK+14JSLB^8XwL9Ep5tEnalWiF9CB`U}6m2{zQaRp6rdL&NzD<Ji6}5=KFouLuLSO;8Hk_ zR=f7tpcXM;2o0b2ehL>PrG zQGzww=HIq$+qP}nwr$(CZQHhO+uiSO-eO{AG0R$KWkf~hIbUfJgkRe+Q!sAmje zG@Sz1On`bZh5(D9L}qdZ^gv?J3HhgUgZ;F#J=P@PqGiT^GTT$`BId%qiJy4BhFbB( zD$Ajq%=jetNn^blbCmJ%5AFUFkyw1fepRE1zjj#?!7O=djng3|5*|3%5INddA<}@r zsf1tr3O^Dc%^#14_=((?c%sRoWu)i(iJ{my{c?fR#8G5$Tk#DD@tycZLcVP@ zRb1x`*#0QkzJbqz4OmszgR&`lO^dUHrq16{wmhl)G$to}t+R#*gY_!(&uJVMigYQH z>G-yv8N736DxFl=OkW)V>-tzuP>A^e{|^uNHwk$NqBZCqsaA~!w7Ts<8po-suekM= z_F2l6sAD|iknGJzYVy+#1(*us3;sp>E&eYj%_(Pv*X6%8737j08)|`|o*+V^16&Dq zHi%OM%~?~TlW3U}8x<~--ye&e67O?7np7w1Vt<%jHJJlDqU5clee@n#h)&h(k@ThH zG!SDeMwuu>;B2LroYRxij&hXQ-eZu2-*{a}`K+@CvboG<5A*lej%wMk!^M6goUpHH zH=L%evEkKE94PWWSkL=RmQ51*ZwLF+$O2Q888ZQ5r%M!*8k~vI{1WP087w{fCt;$B zE&_%eQ0-hFrh>j~pNa+K4bm`5)*Gh}Pq+63#Bc#qg4`-j3PvILCt;xqgC&a&6eKBzPhX8AZAZ8}&Lw{SJc9hCqLBeMamT7G+ zU!?9cMhhcvoyoNig^3EZn;S$DYkyVQu{phjsOIN1@nW?cC}mu##(m=9W{n1NwDpsi z9(OMW8svpn+On4KHiI3#GZQ^)lEG}$@w2$Vve_5u`bPR4#KKw#2Y=Xl4uxoUNJhDK zMshV${95V=^rid8x#K`HtsWkeQ!U}2=MkY|i+w$%G=#|R4D-AUqsz~s zdw|`xT-bwwhtA?s2q=3E#K#;{o2n>b!tvvCJP2Hsa*3r@JS8MQvhEM~Ma{1mD6YAT z$+jKMEHU@EO8gOv+-+Zqo$a)bM=nNt(1Ia$Mu+V~w6)&{jvyP3>&HikxpC5)3heJs zGHe)h9FOBt5Ygh9Q_hqE1E`O@VOtvcna22`TeFHCeIqOxo(+ka)4A=%)I-%{KwbyB z93rKW74F_TvyI_lR+VSBv~e^sWpX?VRWFFBmn4n>Tsd_baf;0H(rPSZiK`G2G=N=m z5_W@h;*NT}NjykZ_JMwJhWtE!o9(&?SC9%&-R*?0sbMzU=tenWK36~PR%y^#H21~< zZNX#_!ZFzhMVATj2zrButB^+NK>og!bb_gsb#1K0?2F|oSD<1rU zGUb_a`FpVp6=Qy}wI+j#6Y67LcCMXm*`aUvnWgg1=x75Yo!M#brB?K;#0x*#*jTOk zeBu{|3O*ZZGk@Pes5x6f4JAul`3a2tDB;1Wb}w3}6V_GK5wASi7tv<$s$1vz!&eJe zkcb7lAW8YI>a)ap(1^UbBjzvqU9RDuTh|eha6@JTF;fHBNJmKCbLINNx<=T^pGJ(T%!3!)rWz#TSHGlc=g;pk~jMk2n4QE09z2b}i zQA^K8=OZq;Zx07sQH|0EcHk}gF;&7h?b&*>-cY3WFsRirRhPb%>OD zq}Rk#$8vpQi>reBBYnLoS7tzgVs9pCHd|~lyj-ZFm{;YY#Wbj?2tk}SgrwDz1E844 zCNWuX*>$rUN%=qb6?uu`_e2b6!{c#^jq*(xGneqg5(nV6t?UEJXhq`t0k+smw_;F89c4A{V^j zh{uu;Q~ER7?xh7s-Jh0{i?(s>MHP1w)-$P&Qp?D|3-KjA6yFE!w5sVFT`X~x1SB?8 zLS~AKxCQ5`w-5u#tXdAM1XGZ>Iph%xLzy*rT2=&zgv(mpa^3k|I- ztkBpXeil=2EU^;aS(D_xD8~F}vgCf_2Wq|+9tPg1x?bYEg!G_J-d!`iw+YMK;n@W_ zs_$KkZ*-nOhn@fJjXdelRu=`8s@Y?LI*jluseWA&>wvhprqZ(k_0zY!*`~J-oZo-x z-0xJ7C%%t-1O$WDka(z^V8-I9kw<_bl)bh9P7>nAQN?~4&s1iLraXmdnw~#4IEpk$ znTgoed!I(ZhU9oYxCA1YjW(%eJc)*%0!zYt>Bj9W5wEcYxDZ10-QTTSt!83C4@`W` zJhU=T<)K>}D$7HlKMyqWcubIfnpP=#q?W-<-4Y`<>&{Q*R*Uz0cNzmw7}lAZ5bu{K zI4CadHEEgbg?(Naj65j=%Wpmd{aIz&x_wQ@;wHp~Ert=UYw(XXU z&S92rbBx9z{Kv%9lNbJppu2QvUUE(=y%)@vh+k(s30%~w1~tWS%V1CQcrVMyqJ+#( zeMrG^{Iht5J?f}*BL}r@Scx%|-PJah?L=?hNM}{rL_J1hv?59Jrp4A(nW(fiXE__( zdvJQ#jTEv>skRig=F0!(G0av;5Wb~ud>S_Z_Hfm9E_kK!BJo&%uwnVB3$V~8;wZ}G zOjcnQeBu#=(($%815PZ4Kn`i|UIP--S-B@rX~^FKB}L+VS@76m|nPMLHUzS$An$Hw0Tl% zeb7gw#7)`z$I#0sL~6EeV!TG*sxy;%o-743&lPr2j*GZ>hX#v1=H4IGYcX=9)6UQT09Hz=%FjQUdFx-;i8T)=AnWfE+nhexeF_b~Hc`yHYngFK zS=Iez!?gH}4|;V1BxP;rof&u9>&77f>!x@t{F=Jb3Vupl8x8^@viCbMd}QLi zK=1oO8mulE0sDa!VD_qj;xlO;Xan-yE%n}Lb-dVq78nf1kJ9!z6QFEs-a!@D;?DL# zsG(tX-YQXzBv0KZBp|-drsXetY}Z)8*?d0U;KEiYxo;gYsr9cxu>sH)Rc~;oB#}Xd zL+SHFXe)R>Jh}kVoggOdVy{Pnd}EXH(-niHjVF&^J>*SY0Ik$?Ay(R8Ri{e^V}_7Ytu3rmUlO9WpM_??Q4 z)cD_2DnQuk4_@k8F&{}LL}2lXB^LGH5WNfsx>jocMYOnq>s$EyC$8;gZdCyT|1k?} zX7uUbFf-5Y|h0hrYwe!{+dQ=OW_~fJLq8F?O^Fm;aX%Fq0@V|7*lGshI{ZbIN#%mP&DAR_Rm6!Tder_PVefnP4@ zpbBNTWY(je2j<6H0kkXRbop@tt9PN+`YL8@<$`3Zlw<33lK%Q(XA5VGcOq3EI9a z{jY^@fy?9__D~9y#w+7d{HsF11iD_2@8fK$Xt}_(8A~zl51;4kq@0acCs4`%aLe(~?jTE zOEQCy$6nN{YgwZxY4{};9N+2#eFKy5W~*t-9-5BOUe#(HY~u$e1D_h3s-+|;LrTdy zDxth`08zCHN&kpXXyRbuk`izYfZ0+Do|10uwy{)vtPB-w1Xp1z%-c5j>69BTzeDlr zl-L(;Q&NaY>{Yft!xwqL>f0*(WLMBwv zpWDE7+(}4sezitta5vt>VTZnrLO!HqUz>~}g=fz6_-w)o?>g%VGA4JeMQ>O!#{=){ zp!V*|lhT_m@sI@@dvcq+4uP$IMj7^l@K{I4klRpN1#H$%jCO#}apn~j33IS*%Wx|; z+au0V;`$Ivh9W1?YXPR+B7oir99y<^Es3 zvmyjVW##_S)>~H2#~pjmV>1Ei1-?IyAk<3ZZEw>n*LdSop#p;bohK#v2=gBmzLGa= z#RUx1^&V5e?$oE8WmvoupCqirJo_$uRT>_aMeiE3M(P33-pa~T`258BVks;a!VucP zgyF}r3+l4tV-3I|icoePXgjpb=w;lL+){Sd$*SG~`<9DvAVUH+U zch;U+oxO|LqV;bg@)GCqT8Tpl>uYN#9PE_;Zc|epc@BmNJG6W&`h)7O5Y;@s^S4iguchj}3?qoBO@3;0F-|WQ+8B92w z{G}pr&#K3p&{hhkJr;b!tMI&rW`@@)Q$$)V&&^(C;NPa=h92(MZpH*vt4Kv9?0mwp zJpYA{?GX7Nk$UU|fAg-G6|@>`>U$1-&luE~NA=R44e}ocj;AK3={2B}tOj#MpAsKo z!a~=X8iLk}a=kg4emjpVQ1SI0^?(f~RWPI6Q{x%g5b-MUA2y4X&A!fPR13%fA|~Sx zg(o5#*#`GK^W(uMVhUz>;6KG|#g66lyH@j()WoLq9-N#tvC*iRTNyjk(wkn%4IQIp z`TV-{hz2EpJXVOyc+pqvw!fYLyec4lvdz$PzkC2y4*X_HNJt9ZZ}tRl_TL5Jana{8 zMkeZ|tNXff3y{lW)R_BN5iwppU3sp5J5)!BXA}qBXy}SqKN2{cyO`VV8j`->oTv%3 zo77LUp0|z3b^d!Et?Sf8^yaugFd5vF7I4bFn6j?4WfTVm^3Xic0Wytrr`w;IQ)+g$ z;M9b7iDXc-4pbOcvj(UIbYBjmtp)7swSX&I8irUGZBYzF(xp#sMZO|;hDe3ro(7xJ z|9qJ+0|l7RT9tAOey(F%+n_PV7m|D=!fl~k7#$aVce%pHm}@4tRDK;7Ynu;n z4bSA737qXE4<+)fYhZb&i66w8!k9E$)=*sRG6uc(Au{~ImR_Ei+oM3_NNn4rhy<&+ z(jc1)wzwcb$HNi$`M@sQ1~yr@eYv=%wo!YEMb`}^LzeI%L{J9+j2ijE@J OldKA z9xoK*$|%?*$wV=Bwjw1CRLv{0D(%b`pf%bxGobl>j&0`H(Cx7_u~91itc2^UBK?o-KTl>TU98(J0#SCEzs_HMWv(drPE)39k*~rk8Zy731AHr^Ge zORzdX-k)=R2lo28xsYWZAs@IY)PKk4mkP8gJ*TUy34*LFEe#EPej*0=)RJmo5bQp% zeG9O8z*b*PjvnH^%fcUQ9`ZYHmz^FRpwkt;jgN#2oiO}4-T=RqReBN={3UR}CXh9L ztbV@~C=0Bcof|6vJk+NQ2xsR&?qNVKe>lZ|LasFW-@5g{Er2gAfdDTpF2Fh{z-w#k(RWX9Z5-1(9NC-QlM))B z?<~EU|BMpRK0r9k`vv&W9LzZ+SbLYJKk)bO&AVOjzzht4K=lrws=gKk@=@NkoN4_` z-n#@)ExesS4&ULkkaZKu>zne{g{3AP&zT zQIEuWaBpP_@?ktMAkTgkVEcUF>Nx)b-PwQY)HZP5nGqM|wZ{715D!ZM9>9W_32s+i z{VY%Ax_0k8oPzlWGU?gI@2J4~XJFTEYPT;PT@70s_phpqvLiI6umT|4Bf|DM0~w{Snvzkbxtg{vrdpTe1P@13UdE z@J#}J%UOQfd;&u{08{{{sEWUKz+8vvBO?1g_xOlR-= z3E%>h&Gg~Z`7gcd#l!Vmys;g7RnE?iZQNcseuh052Yo~H(%ih$y*IZm@!dI~c zx#+G*BzZO5$wm_78Ea!b*2|%06?MQ(&S_ecTpSzMRjQI#|Ffq`-*U4WZ`VGvrT%&T zTIAn3A99@0&wuw^d2-T(;Umxlg#FEmCG1XE8k|^T@PsKYYHlEpNfavqF`xwAECaoU zfqeSz1nBJK0^PD%DcmgDoI;$FXb4tsm+)X90-wEL@(om*hA2ozL6uwsJ1m;stR=zgdW+?@+gko01qBPO^9NK!HK$HirGHsRYMhtHw?a@H>G8dI$l{8=4?rrcAiMkVldEwf& zQ1&@ol3-hbyP_ifFuKIRgMVb`*0`7sx5l<8qp7O^^vbqx2yLZ!fB5+pc=eFHty@mw z3Jh18na0 z;`_YKQwL#>xpq9fbwtInp4p0i!$a0)>O=5NVr@rN@b%W`XsEA{F-Lm_xmWS5Do5@) z87*@Gdvi@?iADt>tnQ&ep3&mkR;{fquU;{#7s|Cq2=0d(Ln0@%Yz&@5d{W-oECZdW zbEt$Kz<$z0yi;TDPzOVXI&Uaefw_yi%|6Deb)BQs(`nn>@gO25qu=?V%Jbi0Q%ud7 z9AtP}K|%&MS$x1Dk5oE}@zWTy43|`D&gToaErbt+9d@2eItIcOV0;mh&+Abzw*`X4HCw1YzWhWd@AyLuzJ+=_5#}*O+b9!AmH?U=LboULgU!id6G24tc4P`~Ifa>x1 zuXn~+t0(F84IK-4IZNm-$8lq4RlMoD739P@oCx3=0M*Zg>Zn%F&7gpqW>e+}JJ7M= zOUi=Ol(=KmuQCI3@P=Ec*4S8JhB7(NX37p=Hsz8x=xiQQ*vb-eHII=>aoZ#^@OvIL6@?PBmz|7H>A}88zSm{~&gnyrTUxc0vBE2JbOL?RLwN#@6`{<4f zL|b)4C5&Iz3Oxf0&mw`v1z#HX90qlx#sOTDSGA_#gn96!CsA)B!jtv3NX&aeeUoxN zA;3^3W~==oL!fL2Br~jeOe7RnyzU^LtF7#UHY(ZEX~=X;O{NC6QDa;IPIR-j84ZG^ z)xIiN4kw;SY9IXl_pnL3vji*0RVUlf$K`yBkGggtqeMEM~SL8)X+`IN2$XPp30J*#2`^K%Xen z89?G0zGi=2tl9F`zz1s&7o+L0XCxg!@;^@3R;ZB57j)b?%~lF>vd43VNAXG5bR2dn+Sb2nD+j22&VsA1Ok7UASFamg{=D#&;HN3K4t#Cy zC6I+bZ>?r8lw8xsf8xz^v~4*vU4b=sUTq59V>ol^CCsNR);k_SkJ7`Yo414jz{1CQ0%nu! z!H6&}Ob)gGin2P(;NtdXAuU7=&uw7Ejc&0fJ+u#pcy2>`LcwaSxG1o=<0rgYiWKyw zYXTnjAk-1{g!}qCJ$@93rXgWvN_!W_N;i{^%D}JQa!@wA2oe4KiNg*+Yyyau))*eQ zL)1+5_Qg4Lg3juQ9H*z*a~u{J>uJic?pCuQsmGMnEr4ki>oRqzOO@nPZz)Ee81#1y zF0^cHP8aLEcAQI7@@45lE%~(i+v9DlWu1IV&D1K$Tz|c*=8iR#Ac^0OdKuG}!E}3- zo}mjW=WiLHv%F@P*mYeBcQB&SmMvLQR)H{p@hpMzpPhc&sEU!v_-JptDtA*Tr!MVjzhkcJuI5I!N= zjn>Zti;8I?w8&BaraVMNzNHpTHNkS{mh`K(QL`6G10(>HuqN1}GG_AxTf{Cwj9}_l zn_&smw=6>a^cLL%iri^f;wyqg0KsZ2a^Hy>{D4k6LY1-<-rzNiO)H53t}0L}sbfTo zB0vH4zcNTGmgztBOu(EYlC%BiGP^v>PS3qvVqzGA#~ov%ChTPHYv#NL--5dAMz!Jz z&D3)q%#BuUb2rjyNQm%V-@Pf5;!4)hZWWtqiYKUtfS$u@6(GPj@skV%$ZG`okVA7qhFxu*a)O-+C?R$|y z*@@uNs6TRsLdZDR#Lk37%G4y7nT^Yya^XK&ZQdJ7E%hd)hJ%^3n(x+=%vl$8 zVra!solF9*=^^bJea80{21|DrVaD{kWpQV`CtL#}We7>jT`G6sLHQlr@=rozv1zb1y7 zkN}%?)JB$R?!u&ESFF2Bb02sr(UaV31nvSk6egTmSe1nDWvnCvTtg%+@ZFSwa&7jC z9%}Zt1YU4ITg=!|twk+$m#Wb`5D7YTQ8N#bH?6eC6(-T%-|I>a2V7`q ze1g+(!aRCInk8~Q-))fkJn$nCt>RTMJu|zv#6a(zyGuQo$P8L7xWIOO__S|+3ukJ& zO|)W@1*q?d#K5qv4f=W+y^CDWFQC_BH8Q zNdeemq8C&+x~IEDUn@DeBJkc`Z}{dXt?9c2(s!u-auhSZgIj zHzv7u?YcXma1292CVL)DVqj-HcYK?VRX(`d zzCYHxvBWAkPQxNHGFZK^A<2CJ=3PvnaG-*X!Kn+2sp%m`RTRybq^xPYRqp$?_2DSY_87_#WFI5zmL|ilw{0MXZ88X0LVpk*0Id$f#G~}(6=qCGZdXFn`sO~Y-`ar zh~ar)S#;`ke!UXpzxQ@L0H7J*IbP#jx`{b&o={hv!YBNMe*#%6`fVnfY9=q# zfd}Od0uMl>KARa*jP5d4(cO?5AEH+AO!#lmLr9UC@EG`P{FLJJ7t_HF01W6VJM^^J zC=TTR)Z$x4E2QOZ!pbm0PN)ZWwv$8DH^zTK%=V7V=*}1NbBr`ZuLR z?LRJMO6?^2q@8M0>~UEBEGn;5k}P}zK+bf!G)IC@ceI*6u`<9zPc?ETA$!ESu>aV? zPN$o)@KXe35r*ZG71`n^Ua?|4kN`zw7jSWhb4oyS8GJ~3?OLZ6u2y{zr*Ww^pZB=~ zkH;hF2sLyB+|X9K3zF>uvnIHKA)4;g4cX~(ggDEvAVbpj4!HPVI!xJBuK_sjEutjKU4 zDHBQ_&t8uxj$3A&75#5S4jqngJz&?18A>$!_t!--ireN5y#Zj1!#nY?{v-h z@W}5rLMCO_;H105MH=FUL!j5tfJX#T9w|Q}3@a+tehfd#%(YdMh2ILU1&7S^-Gbl( zicVbdb+VOvLtMn*c1c@p?Wg_Km<=*0K0$QU+RRs6YUWfSSRn_Y6Z&J_e(Y)ft50v$ zz$7BH(|CKlptkvH9kfECw>7(>Ur>|^nJBu|%#P(5MdyrytC(Rme@a7W84vrw4x=)B zo$z^1L(vtvAovP(+55JR{hzMeaa z?eNNj-nPGZb)5?*15+<%iV|`qHdKe2M{3}uj69FcxOfkt((W5me-`zSdr{%9WF9=D zI+O>*7_X}U=?Z<-l3I!K(*A+fKWNaqQ!z71y#*jjSrCAJ^Ur0@a@8H40iIAJ)e*YV zHzJ&~e)j3lOc&r2yx6Y;!#DU3+aID~-2?O{;M7-TYW$p;!oZoB*GXJ#0;Ad*m^In@ zZ7;tK`u(z>NLFyKVQWF(rjRB%lL(=5EGM3ebc$C##ioq5TqNm+zLWo8_=Y<0cg7fQ zV&s0HTd8d#1_8-=LG<)E7Z#Bz>W#E(J0vNTA!5d8cGOG(abawYLI70;Bhb%vs6Jwv zD6vRLckXKQ$^{Jni;orqJVG%T~X8FLi zwcH`soo~LOefltWX%8LL5ioI6%{;wl``KiZSw4iO5-7&q?aY?B_ZPI)_5_Ygn&n z)}8e|8RO&&uxK>8c=iahlYMPcl4{i4BxDxln}?19>}L6m+xAYD31#BR@;XsV?Sb|t zQ1EJUgHGq`p}8|ZI2(0NXj)}LSJ_x@rZ#*5OBv$ipTBtRmK&5b&V!zwInGuw_u>9sXf6TLoR)x$gVI7Ui4 z42{Z!|F<`Yh%0Be|Bu8=pJxRjCsKR}jhv4JYVI9DH{?-IW$BZ2uU>nmD|y6HwNUt_ z*P20@%N|(-O$;K;)SY53aFI@^@ouuUiZE(*q4-njb9&9RnHKAsB@*RHOj_yNMnYO@ z=6qJOIn;V0No6`SVQwZicTSh`G#e_Jxo5lM1b(h-U2Z$VAiaX)gF6e3j((sox#s%Y z;h*Q6FkN7uK)C6Nu+HjM$l{v;?d7?ZaR=J%GnF*LWMXr{X^AoX&YW6ocmUL`f+0>& z2yvEL&=ZClU=Wk8t_|u+{4$!W!J1GA#VU2#Nhuxgt0|=^@2*phqz1k`*>pFf&(i!D z56NYJ3%TXcKhK1`$lq0#vPq{N95hNC)0|bjFQnj_A*IE4*v*{9mC0O{)cz7O5xOEU z1F=5?`qT_H$=1}?citB#iv||~E?>GfP=rg#X169K8pjoP2`eC{8X*N{qr<=}wGwxh8o+ zT3Vuuccxec5q66MPViL^qCz()I|D?T8?G*M(~;Qg4P=s#I{GLy>ei6**Tp=Raj?B1 z9fXiVANIVQW4b@_s?I91Hdbv<8DD0-WL&Z{4I+Q*{I~_hg|yh+<+F?}2Z3`YHzZo` zD7gp9*Z>-C1dyQX`!ifa3&*=f7yzwzrL!vpwZH_V<}O>Ex*?K!_?s6p7rxOi1Vx z$*4VnF1u%!>5A93>BT@SnB8ZSJ`3NI%nB`2?W;PF`LaHhwyWL{ntE(JXtafqy#YdG zcFZbiLslXZrWF z%vo1S#-=Olvo%hredZGRmndT_Wd-~w_*Es_dM3F|Qlyc()ot{o&A)JRhWo2U;`~j9 zS76CrN=;0*XXb&lhmj=FNVUP~b_9=Rr(N976`^}ZM6U@`FHxDb!uW!viya?6dgPgn2!TWxF0*;{h(^4Bn~`zk%6xT%=lCes%~sa?<*DmKzfcE^VQ?Bvf?>x^EJJ19WN z7rNjh0JAJOv!HI@EW+IBK3`Dn_akR~W{#*bIov7zc9jV6+AGC@!)!yVRtX+@3-j1J zDr;QBq4#$RcwLR$)QL}yDShS$m3avvwaEFiP?RwP}Z zY3>3!Dg~%B(`o&w3_}ygmrxOQ zRq%F}LVuP0x%A+e8P?SfCR$=s{DBOi7ORXl0zxN-3QL=4o`>kx=Aq<5M)AOGptiBp z*cwXqPCR9-Vev~j{YDp+^P3Dc!)sf3!M5ShY;ly{QyL1r9^dkmX-z{^SWyjIOpigi zNLw_V3cmM`5=*7>9o5>VQ>F+9a%Yq$srBQhwz_`({;WUVCP|g6KE9aWkI6i(wmd@U zOb@_@n?=TM-G9jGHfFRP)@VvvdWBeWS&Wd^m5Rc?_xL3ddmB6Amu&y~L?jOX z_y=-WNQM_Hi|wXcwUsfR1pC2n;BP`lorgR`0X=x|o9coR)M0@3A(NwMioit?tg6n9xrDQmxJ6-&@lKN(;?iu zT}YjXCB80-v6jtshx2!U%mvhgT$X)2RTa~n)VQk`$H4rFA3Q>SEv<#h&0zqDvGJXL&iG6q{? zQZSxP6?&}(u}Ck~^w93LVa07dfJmMXM`iS3mh^UT;Rrp89^XmHW?P}c78`ct#eF7F zEPhH^F8Z&HRWJff9531L7Unt$kb2;bvQ?@_L6siS1hfe9CRVTD#pDR;2Gr$SYToDy zXxgO+$f}h3hIxL+Agqmhz(~`5;6$Q}#Mz89CC5gLT;OF>YeN~{03t7qa2xPwB*Yl? z3MeeKO=xwIM(i*__Usj8j`9SZLEb-T2gGDGoev{e0jpp+Kq-{2CmiqK9fKclF0(@B z#Q>y zJsMvw3Mg$asEHIAKfItrcybd)Lrn~966%fJp}TRZyWwplgAglEJ!FLNQxg*Tx_Cxn zcmz@VFSO7F-{-MPDZ(q5wse_B{AsBg09bu=#K653SzRtoR6mHs^aTJV!z}MEQ^Z!e zQ6J$->?UO(_%a^7uEJ#h(F82a>yCssOoMIhp^MK7D@%mx9l?XsFdS6j-`Vhb*mS&@ z#bDe)W4F~0D;*aquA*g^QaJ(3n2_*swGhvfC9IjST;g!J(;@G=M2TGYf3HAthf%#n zbS$j80^UtuE94g?RImauv|avW3aGV<#r=p-%b^U2H8vg?@f&>WvB*KJ*{`G~dm)j# z0S(m9ARR}nZd5PySwqmeeAM|8d;@_hcrB44AG-$=?qOFsTm+ePgp2n}p2`-^phl1; z>0Ivi)jX1qBXNAO$@m_^mMMj?x%Rn|-WNlpw-S?X1L3r;M6dr!4JG5Y)hyE&VcP+6 zd?*e(&@)|Y!dFLX|COQ+a>kK)#bF`+I4%UFSxO(ybhWS1V;@)BQU7+*l#+h!<-t8; zwWqnWK|}cbgm4E>(&=DVQ_wcF7G+9aK;edEqho~k z0EK<{=6LMD)YqoMrKjBownG6PctA1U_cK9Z`sUe_?j0N~JK*f*psZ`#P#3NoYqclvRj^m(Gt`En68_o3h-{F10^~*A!noc94Y%Avbdo;&2VIylh8P4#i8Ndi~h7T2#{8`a63SS8DY_ zqMSeMx;8bScFCVY;5HyYw=-CE5#|=%+N!v0$fIhSL1(ypVC;lpoS0mfb{?fmH?&pC zPw&Oe*i32sR}N)?PmjYG+v=4ZvRky|D&Ke{V1m@}mHPJO7%#<Z^S5h(8IM{{Ho@O!E=;#(>^`dAJpvb-&++2Wu12MjvH z`%f=WK^nHQa3Lf!uT;-Ph&ZuV0##i>co*Igv;X!UfOq3wG*)Mhl9?u|-i*OR1uH z#c=AS9DydXP4&lG8p7cq?~yllEkGo>iWC^bNEx@zXPoakAH4G|ei0ZC7od(_*l81O zFdWm|je;9asfJYmxzElRTh_e44sUB*kR$m5uSj6Onh7LgOxtTu-C4dcSiDTtqDKf& z+#7#%_q|jl6}8*fC&F$*{-Pdc5IV6;h z<{U(=WtsgNR$+aNc#@7?=L;CUe2DJ!6BG0Hy7B%~E^09n9CU^pK6}sG6F(Khj+6K} zImw4khQ_pXl>YP{@sNY5G+;l}UPK$u{oSrb_8A*-oNq&6n9gNGTyFOr7>UYB+xPGm zR~zd)IY5)6-^|E0#^I5|WptFbN7)X^6C*pww&J?PnCIIv_xeb>8hFAt$46zuS+CXf zO+@?)=*=rkRUB&Kl9w=qK`eE&U6;Td2Ci|*B1(DXGAR?U|9lNSS?Oi`9!O?FEsonAL7)m;5E8=iEr%fx zWw_AQ^HOgyV;3JGYkG$@jDV~}G~keC!-s)1eQ}ijGk|*e7-S#}$PX>PrsE~=Ie=bM z#DEdc&1elVtL0-v$0EFNh{{9I*g*3@axQLhh~~j<<@0N3ekYu~)2g;ysXSp}9A)XF z1+1fv2BT?~AmrO3B+7GxyS@gFp0^9sc|Eo(jiYH zJ?OYU?2TFFDh=v{^}<=2!-Ts$ToyR55Gm5hn>2@ko%xzvMVT8udEm8X9R_lUs@0HVDuC^q zT;FA|%4oy!wC#&AE1Vm}#?h?t3qqm5S6VTZ8aUQ<5Doj;bem*!3P}M688oQUP||)$ zE|ikKM@@Fe>+R~DK*sxpCVjQgGRf)kI99*)oS`g0`}~qEkQ)6iN>1e+om`(! z#<=auARyU3#`8&pN)v*S#?PWL~c(_Nha;F1eIc+ViB`(#+L%IINLf{d{)3 z6g+2(J$1$`b#afmbzTPwbv>k4hp4k@>UbaBp4X&G#2RixNZguTFSW|IfFi$qfh-qm zsSD)R8D=ed*zACva_|)?D~&x-n;0Rs8Zh>@-wKe$zG+d@aR?N zkp)i70s%)##suNpAT=6h(ywaY-kRz$wKwfH@NhQezpv`!-}~;r;=Ba^Y7719p|7HN zL`G5gH1g_T$V~A+jGaStrcs+{W7|$Dwr$(CZQHgg6+5Zewr$(ClP^wJue<(UJ?Oz5 zpW!<>=iSe+g&;IKlN!87kd%!1mlU=$#@}kLcXv{dKazA( z9LpQi`!xnfZfkTd@?S`zNh6}C{pYr2%J#94tJ$(*_UBxL(w^|%tWvPip7&PKcOT9@ zoukLmMwk`C2OUcU_1P;Y`A?h;C!I-x)+2YVA&*xi zY$`Z{k{;-J{gF-Dvl`>zbOq!C?l83?^YwRYw~kqdb@c7r5*FT1{^>2ySL^A~f|tr( z*g6?Ay&|O+*d~z+xSjPxjS`&5qJ$O}=X9 z`wZNqn99Q~CLPXcn_bo8`O7$$VWgko&YF+-fZ>swher`|=1Ib5S#J>P#pKdYf8R1M z<`&wJl&Q>2t~xU#$L~AY4T_fMe(h+JO4h0tagPYL)4LomGFK2R>{O8^RX(VSRB1qV zM%3JN=B=7VFLHTOb7%7A=E#iw64CF}=H4kxP#2Cen@--f6a(L6Grd-FL?i69AUOK^ z+q@z9mn`ECQ`gn2aBVEzSEjVo(dVC3NPRoP4-HYszV-985R@P-QFy9*JYOdi*O z0w!n6jEV6HgzFPHCnhLb1~vvr$6?o=K*kcIVS?tj#a(KHoX0MTs>Dgy{yecqm0vz{|ddS`9}BncL+SPAZ9-LRDK! zI9YC@6|U~#7bnK&&0`;-xkltzE5PFR9__P)gY z@@_=$P?0*Tzf?eJW+|m8m<*E_O@uvrFtxX!CA9`c5)-(vYKO)KMx^l{ulI?++^}|UC!VQEsmEKMvr=!sh#c9!M|5*rFt?*cwrsaF zP|(Q3H&ixV_Kxb;tuchP)~V1LA-Perk2T^FP<+*zjK z&dMu8p-Kzv(zy9$xTQ}wv2Wg^gBK6P49cUR>w2cKn@6XWyUUZ({h#$9TpMmD72)tu zni@zQC-w(4lhJ_f|5&2}ahCS`$4vUP!shzLrOnn+R- zR$AKc?9yk(Yxbx1+0SOh`=lM^N_me!^&5d;nl z3`EKc4E*;Cs`3}wIn3Lpe4jO(kf-oIL5@f!>4!M8dJ@--z*! zDaS{^uYyVPKz@-FVEgd(ke}Ar`S8vmpH^`Rf#`;3V9%ehjDb8veu7X?dnMEV?Q)g*KC!2SAX{G?UAq+e(!1cO(=qa`TE@Ye+GnKf`okZDF)=>!9}c+QlQ03W^E}E6S>(0o?-$`u59z_M%|Dw~P3P^ckFN z5`ZY(IC=yQ+TkV&mVq9iSB*5?j*h5k8 zW;HkNbk2o=@P5=g{su+@y}kf{3S54*PW~vI^cH^BO8?wOt9I+^1svl23lI_F9YMG~ ze+;($slj}3hi}?zodo)DsDM7I-Chn}6Y1Xi#$6T+wqF$jJ~?}@jS2Ox5cd1^(xFJY zcFr*TX~yy1Y*V9%C5m|i{q^hyd zWiW9e5E2OR14$eHf1>A8{pQsP`Uu~651sJIJ0;AI!|6ZciZybkjKL*iR~)J`iPFW{C3>;M)Rb!xV+Um1Dk8Ts0x z8K#N9>(YdoP;*s|nafM*F%qFRZ>Y^Gn{C}F519hSN~D_0GY)_W}TcAreXN=MTF zwVR@@!r1F>oY1li)G^Y8wn!+KJ_BzgtUHYg~CA zO{Fm8BQ7(0ILe4}VVEXMFH|~05fkW>-@0F;nzJ~)r4kBL5}(Z50&bK?@iz?J`_1oG z5g*<1VzVEpGz6CD>4hnz;R8LXBX%&$Q6*$#8#UN>UBNMYa?^POls8>k{W5_F>Evmd z&OT`;_@7^)PxAL`%>Xe5$n`WVxcUf7oS_Qt&o%m!Y-ub8UE#cU4cV|#@|uM+=e%H@_6gB~;()hDRnS3#uZ_JX`}kT_Yw?(l@`BT9}R!(?C72nF!pQR z-t~Dw5fWD)%L`}1U2vKtWA91>Fv;@lETl$JK0_vB5DyQ%=99G#axt!R)D~hp=f5T$ zg24vj#{|YNct}ByQ4^(xj_zXLROFn8WStPlL;4r9^bNwj8U=1&*)lEqIAX;xR;X?9 zcY5kuCYtZwD6p4gY^5dka?M0)Q#PH-S$fu$aOq65OS3A@9d`&8F;vpe@8uAOlGSJy zJom{;IeYCyNA>Lo?=JC;a%a*}BJ2)6mcPU3d$gG>6vi^(QsMhsL(KxdqGsS!)tKkhp{=9y3b78oTlWBO%Li=+FxRLr z!gbD)?T4aj*^$tjdsKC~6&@pC9!`z#2oS88&#%>*OSGnF-eGr~#Vl2ixGKCm#cf-6 zZUa|u3?FEs;?0kg2mw4OsXp~lYv=eshlFpW?%wX?48`vtnXVPGzq-auW{fXk(BTm- z!_eqrI`e>kt=dP)=F0Jq zRQmRNUMN9iv+Ut!P#wuzV|spYYI+|xEmgebc-TM3;?}&K`%8Tz8L7h`hRH@m)&E}C zWB;;IMgMJhR~q&r_kwR1O8KRzm#in;BU3NO`8=A2TIs3NysGL2=rGtJ)LS>YO-(2O zMo_GQVk?M5Y$Bi|k66prU7PAv0;R)or!w3qKpc&SNl&9HT#1H_ys}u~aRejGE!LJ-@KL40=nekEm6a09!Q@dpnkafzQd3BoW5S+Iwz+1#rZ*nMTAl7Ave*XF{0aQNm2>Nl6gR z`>XH$^m49;pV&z+y;C_7z+`$^&v6WZ&jbvLmzJT**v1^htdNw@Cut+h+F3)M8=(Vt zvAgAwJ>qMPjx2B#U2u}AdJBqQb3&K6QQh-A5DEzVhVwEQZ<)>-D!`*By1U4~>gyMa zB1jt`X07G+>rW&1PtyAb-bP6^zdj~;=7>NP4i+?-Cn}}$&K^TU3n6k2;*k!oFVZC~ zSC$4Tr_C-91+-KaEEO01V=}NRELqd0lEIc;1Y^Q3dmOkt=pqeSa+4Cb&}sCK-FlvG zGu91Bv*bFIe?qpF@!)BW+oyt}onHouBPmRF;?D-q|Ma|h ztK)|H^i_2&A9Low7HgISD;V9o#Qc;Y=q2efPM$*zwmD=@>wWqAcD7uYGB-RrStJw> zcEhMBSLcT59RxEXG%OI2$|pK}W=)egVtce#bH9#fa)7(A131YS!w;>A$-8Nwo6#yK zPc&hXWi&rsZuQJR>sG7sn)F|csfr_KM6HT~Np>4rO0>unX$+P&rR~P7ubMb)(cr6i z*jdalDX|4PPT!gL5e`G*0mgde-K6`%Z~o^`;*c?6jgYDNytWktR9AX0rIQKx)JGZ( zxn8q=<+0uDy%kP9Mb(-P==#D=eWw5%Z(HIek06HN=%|2?K4LHU|N%S`k;pKV;*)hNhZ=>NvNu`$6|;=#&KvV& zpYK(Zs(F#3q!b1BxTamXf6(%heiw+N6TS~{MpJc?ycJoV7S3yD3MD%2fK9oGC~2WR8PIfeOixdJr$Vq3n^5z+)clei2jTyo}Q22kMfo5 z6cUSA`GEAEo)l^y><(+L`u*pf2{<)0dQL)jqY6@p=V=I?GE0iR^Gz2rlyw^igyagC zZcIqv?R+mQ@0k$V*a^nDlN1QdLlXW{D$1CCpFb^)S^f1b{^SnZ2K4If!?42_P9cfe7;_1Datk{x&c`dubf&bMP25Y zAja6B!C1DoMFZoF^{TvPw!}%k0!c0lt-J{ygM?L?8I_soVq;AP@>Z|U=sFBP;kl&2 zD@0J^kAHF{=U!FiHug`u3AIs~DnUxt;H*)G@9wxRb{x`mAAb{Bx7uEymqSt9TqWgb z?rBu%%_uXZ{HWjC86zB9j>Pw<71%Eu+-mK4cAFieFI(}jAiL-OQ$VH$R?z+qMYZlg< z0k;1tMwMu=G!<%aV{KdVKkRI1CyO@&tbnzpy5R^c^Sc#$6J|wzs4|)iex@Wd0zoEsGz2-)xxyF6)ul;4n5G*UJ&z z_`0V}H`Qj%s-}j<+8R(TkoLV-fyhz2!w``pzYiZ!C7#TD=%B-I5bHj4?K++VN8~$1 zW3P@iJ7MarTU<3tQg@BHOfF6-i3!vpI+X~hA>8-Xu>^uG zEIsXqyjSTu|6pj5_-88N=p%)FtnmC{?C8w0VW51Y)(eJY%T;Fx3B&(u(Xw$I?3Y+4qH<^(e-#454DYVH!g5GGS6ee`?hBgu@=hzN&Q%p{Wt6AOK|JF}9@ zRQ=_yyE%{d&e!vII&$6MekgNAZvYoUd8t$7+M&{MtHES(LQbKDI%X%s>ZNSD9Uhi@ zGQDKozI6WLne}LaH93EU`1_;FcCI6xfdKMQAQocvPK9ho4S(2xJi)VlnPw1j&MZ;5 z<(LpV!H!>{7ONsrW`FN%Gfi`Co~}eUPGOxgUL2bz>xeM%c~`Ie9Ho0{u};%Dea^Zz zpsl%wgRjs@2BGsl_hmiyzIbG)OQ7yNtkx~QW?*IQY5FvOBCc^uf-81Se+(@oi=yRZ zf71HB1uonwUbypuZ-9oY@d`Cj;$5`m7`A|(Ypa$z)lxlGQZffrU3&;)Z_@5!ql1&c zG~u@tA$R;Clmf)99UW%DOvYiavE?ED0X_fci&MPA^I#eW)5gBNDV_>G=3T}h zlHW5V#kZRf1F>69y*=tQ^-2MEumN~X>+XpCNpa_MTWi`nrw9Wvdi#x?n4#G|M?KZp zHB}O5eMg<;+MQ)zt?7&MF3D(xH6j%-#!yNx++I)c`kEK_`?I!#sf_~#-45*YN!>Fm zPF=XDR~U81>4bmdy^@M&Hl9m^nL%0^kXtCPBKhPK+E&3w$LeW)`x$-MYstNrDA)ubG5eIqU_JA z_)xKqO`IOR{G0-Us8US5MSIOV&Jaw|j#YBsRl5K~sPt}NBzKBCvZe*5aW@|(k_p4rhsf8-uX(v+8k~O^V<{e_~7AAk(r397{*^W7k~V#~ zfO4a>l4*GrTMcO#rViU4T9VHfi2uV`VqSXoJ4(Z7|AK^(iJkmvY*lk*8FjY+flIr4 zASFi|Asj^>R%Nq&ACQdEDZ~)Gnuq8ie|NsIk_8njUkCdgiL#ciC5ZdjbLVv27(CR@ zkBbPqQzT$ed}~p`J~?(bn`uPQ4x{mPRVeUY<>hUgQ+m-}Jqcr@TN0jze}-c2RsF-X z5wnqN4xMGGiqcL5sBmAs3KKe*jREmTRnef%sU|(Jt|U;+aA6km$Pp3Oj-56E1TH<> zVY}p13B@~X9c#4kT)cu+6N?JXHd0^}4qxTm?HIdGt7>8gfUwIeh+Ub(VkF1YxWr~? zKHaMjEknrymE*~Yc7DHkCCt=Wo1?J%NKS@LWgMKDC7`g$9P(#P1xKpM{H+-Dg#k}p z>C=PHdV)D`E{8ShEP~A}-kW1bPh7I5D_}LA>BEV6#a@vK4#P%DuoGb(IpiqLP(m3_ z?VRpDKEl-klrlc(9GG^6jC%GqI#5+6b8d{cEp&Cy6>RnauwT-oll_|j1525PypgZ4 zI>{ODTt7tkBH)W|SI>cI7a!XX%lc1*9+x3>SP~yxx0a+`8nOq&iiV9cqEz1Qk9I~3 zv>Bp+=fWkI)K9Pw$&FHgOyv%M_HH`6lfr|2H$SiIG~m62LnV>GdJtBXTlHf7T174D zkpK?Q1_uaSAZj;&jN4R}y~QtBp?RGW!!o!^vzJ~D$%ThI1CdcVUe6oj-Iy5)=Sa(` zX*cCr6VJ5S8uv+h;kaK&-Zjg>nTLaUgEUNwA2i&`NhK zQo~g&uNg9ClX<5LGyJTe{-npxPruHbhhv9*&4G5*BEQwgb8ZStE?&JQNxKrppZ*%F z`OEQL<_{Cw0j-ts!o>O0;e^GJg@RszN}JvJvfg|lSpli*&hrC8VIzciP<;FT85z^Q z`?O891NJ1VAiY+NqFFO}5|SIrqErj;?5aYU-;OhWt{GbKQ+$=wynU^gvnpBL8TE_@ zNcJALfAov8d=3WF#I$`Q36M`)^2o~A+EYS|~HO)$=`>*+2hqAz8o6_wmF9gM}? zOS7lH^XcZR%$gEo`OTFC5nl}SO`C^QYVfOanq^S;&*CaqrcZ=qvmX!g_9Px5K~Hu( zDaI&!cJ$cmrIXtD+l}88=st}UgR|J7iWgGOjCZDC)Q=06$}GMPfL%g_P%(5Pc+Ksi z5H4vu^{3@@$K zLRP}aZvM$-IV@8iuy1Le&!lcu2}hL~(|YBZZ9B|}E~^ zee}-bdjUp%g?`ngEd$!&Fu$=Wz%shI`Fe#jwcEIl@oI9qNZg5H9FnWap$|8;@<&zG z(lgTT&zcB-O*i`&wW^6`GXZfVC4mNBqfe=lweuKJ?XA-&ndG0ZZy5KQwX~>Wd2XD5 zH7NknVbtg9hN>zvho=3f>^n&H!<*WnXV3e1keqyUL51Cbb-)8|MfO}pt#l0NRoDUx z>TS&k)QyR>cRoyRh049wgFqUlG4MV-U`vvqk*#TsIcHo-YL0JJ!}_kJp@|$=rvp8v zd34Zuq>uWDT=s+$27G)p`Wk1*`>M`7Wx}WIfy1KRyw#k4+hC2nAj^>L_^;Q zWNgGadWNqWoA4WPfilhM|A2jL{}=3IXXN@1-eV@>Vr2Or^!LAE9}^=J_tlJUf4jSk+boezl8aN2ZpGfh^K_op3OAz=7p&8in0cgpP9tjK~ zh8OPU7^1mRV(0Yj1G&$98etC=-EZPKf=6%#`v9UDq8*4;NYW?r(NEka5mk`T96pSw z`lb_AE*)r-;7nq#_F=yf zFxHv~asc&{QHvyEA}*LCgJZC^h%OR(WP`YRL;Dg}PcaM>?@1+Mml5h#b`6uWw1gKpENU{|Z zNg(e>^^;>@{}6OdusR8daR}ie_|f6XhiT|V!8hRBUQwaXWsmRc6{v5wHXwKE7TX-u z#p&UF^)rFwM2%%BMTPz3v+_6~#o3urArP?@NFXrF;2$;xg^32r-4S^G^1#DKdip0z z8`M}H#(;Rmzw+n?guHi}19~OrFV-E!@dwwB;{JlJ9N@3^===%8};_B<4;^{o+!Clx>Ft?zyKBT!_ zjj3)-q*sBC54uM8u3m8@z}BY`!Bf(#Hl5$U@m4C1?u8P3K2HCOo2P!!a0GS6vGAbqS3XF}4Z#66>eOPJ#w( zUc)+iSJ`{g(@q!NJL_1jBb#cD*b9_vOwK3*HL%IA5YWd^z9zl-AnO~U%a17|Nnx>j zU>tCvDe9s(-p|WyV?YjvD8HeZaRz?Y&I8%Y(j!i_$Vc-az6(Ul(M;)!`gjYIuRu40 zCG`Fysk4=R`x~wjyUY6ilV#kOvXli>(T!`_#OScct`+|BfXH&UIYoy=TCG7@ue#s& zUxv^)85X677USzu13np@s!lsB>&f32ssn6d@(r>tb^@DwUHs;yRc|USbI>N=r^Hq- z)ey>JkA=VJfXPEaKs;~enxsX1cisuV(!)wh`FDa_y(F%$ovRva)aL2yMVWRcn;&}| zV0QFx?(h988s!5BNp7$AyPPj{j@ylE=5OI>o_tQXFKC}^yfW|9;AG(h^Yl8lk2woIA$2-qKRwP<(>k#>Og>qI#*RX0qIPIJv)9p08x`14uQCBY3HAk%#%wY$(7 zO31mTP(>;HbZsYpBlto#l5VFJF;Q!FT*2ZD*mAO(7ypPwb*v=*xp%^LZ3Fiy37wNS zM3ka8TyNYLuziV~f4{TW6}u4azcnSap{FTWWd-kj*4XypkFfaD?@soLh3~ufaw6Nz zoLH;Y>1WIIO6HRmVRe`L?4q78^57o_J)u(T!h?6f>LdL%GRM0T!SEHi*Scl0*`k8+ z&u^GQCeP6PJHK^)Wxgb4XWkjI+Kg7Tq#_k`d6R?f*D%(^A|?0KcZC3-2)*pjGK%n? zjBd6GeVP~?=lygKK#>Il%7apMP8q?(E$j8y{HNOP7}+kt=^5?*YsjcT+@;McxzMK7pN+}WrxS?iQauERCy2sNFRoh0)s?XpV21@LjBL@BF1ZubeYR09 zY%OXyaf`ay@4tdIeun#QJ(|mtC&+FfD~eWQtK*GeY2~LxJ~e_8^)o2KYu=E zD3ncXBiITXQ7z_3WnA6rEZ-h%Tm7Y^xf4Czt7nJ+n?SZ2vxn2K(OB}FdJx54h!FrJ zo(8kusUn{tnzb#EzGrGBD!SoCqwn&F# zvL%U8l}2w93+?7RP_~5o7Tzdl7%RzK*CnipQ#o1-D^z!|TbdB?jLPqPVDm^?-}X%u z$SKjq(88?t3ly6eKpHpSQ<#gx7XFJUPt2FwPmCEW2j z3pPaAfKv`hD*H#m?{((3Do&NEaz1pOcAFJ@mgHY`7#O%8)=Znn=<{Snac-h~Z$9UU z;M$_~3GqhXMePLxPmlV7<<@UHzBfbM8);R=>gEX6(P;@F+7A16pMoBZk)(0T2os`x z33dOgM91OtU_Mml?Q1C{s54c3*_4FPnDI2+D<+KRD}p#EBHlR)*{@Z;Q<)$thI|uc zS54NW@?(x~J8C2H3uGmwErSJ%rH>TO_IW2Bro-E?*waqnJ5@wTMIn{sCKKbhe6Q09 zu0Q7K@bAVO52RK+98G7v<8}jpZOv9pU?>8l((NAZT;yo~pYoXb;B@lX*a8V!y*;H;?}D}tZ32x56ZEKUbA2pkZ(&X9QA$@E5Pde;5cdPQdV@N2 z4(~gwy0enN8$8b)A0Rore7=$SPC@AR)#+d#<{*Npax`i@8!#Ijd3O%Z{Wbil!v`vy zfkvKr6$tBK4n4f8C4}yXeK)f=QMjL<$7-aa*3;V*rDhq>S7a?0U;YHIpIyjCCzqp8 zWineBwU*aHqCyG(e}`h!x&l<6`(H50ZcR@LUw{T3x-QBr*$Dh^ zLsV5gZMZb)Py49irPNkSZo3V04RG$WTj>ECN`0A~#SFre*27zV>FQ8wJ{7a%R56vREgTQN}Rbf1|h9tdg zSh=MA0gi5*)wLM);sbKL`G|(&iA{l`z~{GTqcYWNsGq?M@d{xzA(W#m4KVPQZv^8mzPR~&NyqubfnZ2ddH9NlHhq%y5)oF*6Z))vJ zHu3zfdo++-3QeD_zRqXjrh zYmdmH5#5?p>zt2-anp+N@5ye*eOF2Mx4UxR#Rwk&io==Z z-^X~@gYWfNIT8|<{3Xp9AKJs1T)R_l(SHH@IxUVSEe{)gfv`?lP3E)G_*4Wf0~JKv z!;exsH>Z7eYVn4iaYm$BizL)r8a{A}u-;S_p2pFwE!Jf4TnB_R-^*gnSZ+pbsxrvdthgZeu{^Eci)w4t?ACYxXew~uY;Z5ZPmo)LQFZ_n(5j}o$| zYrYJ_8D*x;l^)$`c#Z;-%ZQV!9@Wu-KZliw7p{M1=3$v*Qo$P(*h_fwnqxgsjGUM* zh3axB&~l5qW3FSvJ`k@pZX^zj)2ArLcOp3_y=SvO$3$DLR#7Z;WdNmpSaP&h5e)yl zN#u5gDH`+xh>{EMnJQlu7ULRt`SI;EvU60OuI%#;X3Z-%L?baV((w;f?DTs#D|L}! zhsx<2SDQ*9TO-m7w!uStFCFr5EO^uVdV&_asS+H_DX7{FP}Q`GG+ATzUAaI_*cdMe z*Cgz6It_TjUk{E`{KRTUtxNz2hO-4PCp7gHU_yv`zx>49Wr=f3bQFimvdz}stylk} zdoMdZ{2NyU-#>)?>ay$~$^g`CYo|m2!9QG8gMV$e%_%Gusa<^CSme2 z6J^OL^s$@Nw2O1ey<%kr9=Y=G5Z`T|6}wOPl!h@Fbdy@e%g}a(p_zbCb!Rw)gjWU7 zfkfav7wtLOHGGu44BJC(&9y*PMp)mwb`HIMILqfQ|T}dwc@E<0gaf}08codYJCNm=NmHdF)%BNF z*DIxw@qZ;WqoNC>_PTGx={Iqxw15b3g3m{xby=C3>+s^$F`^OGIQyw^I5o6-ll~;u zf6jE1bes?Ery`N5bJLwV`%9*}cR7hfmV*6SvENaks~IrB-cTpGUQ*I9krQrmk115~ zbe{t1pUB%h5r61@ACVc}%mYe=l99^nb?Q3M185Db;mC!X#U7zV4Ef!N=zM8W7ETFc zK@(biH7%}|c@eSaI-ff~Car4=7)EGE7SJ+vf~TWA`>B(s{A%tGkOTI~mJKe1zx+#(~dRr)+ zaIei=q~}+P;p<8Kjb_H*&wI98U^ug9i6+n4j#ua5<2!&9D~DK)w2L=@h{bYqOjUm` zpwa_QT~ZxuScFD9aaYZTHsUQ@Srj{=OGpOCq4tNOmn1#-r;cXMdvD*Yht({VD`C&W zZKwOs%*mU2*^Z+Z^^J?O@f+l`e;?tmInsqpc!GAFC;EahNa>X^AieXqbvOHKetII z<8kq<_WPI8ir**dD&3;JD6bK0r2@sVf!5gMagC^h`fo}4w&4WrzXZvq-0eLkha3iH zlB>ar7Ud4)pf*+k(*G(+Z_2X>j&#P02=`Kw(ABP=&$nk}%a}LC=nU*j!LDqjRAt?EN5BsH=QZB6S!p58ik`T=6 z?onana&uvXnCZH5C4>(@qZsQpppv|G_k^k?g-x-(&ik#Y?!K4Un<7oA(hE1E{LTT< zK(hg0O-&GxsWg!f$W5HroTaMrtw+bjhu zeS#BT*8*3o4@)9@tQA@yyS6v-3_O}oRQnH({NQ{+A0$2{mFJRHQB*l>Gt)lIqQ zT(Eg$jJEWhOtr_jAs#Y`4lB;--v zLvR&Zp+1?g>n0*ZWS~e`7?&kMHwiRD$w)*q*s)Kx_!4vV;fcfmAx>#+K^+TVMc|SS zyNt?mb{*i79l38ZQaFw|Zm$_)0?*?S=E>(;+Y`FZJ}jQI!9^W1tC*++^s~p0+?8I| z=zE)>e7Vx(wk3~lW!xa2txgz7epbk3d30AVQp8vGI5vtXA!f&wq^?o3?iAPHY>K7v zx4Gda9r^vVh5S(%?^Brn%vamHR<7rVg|9UKtzp|!?kmL1{%YJ@PMM0Tvl61pM|fHV zFZf9R3zf$}$un+ce2q>QMC9&8*JUnwVvC4)`$sC%2mSg_Qw?VPp!3=4Rq&sqG`%*f zo~`8-9I&%rqizsqpkzIBBXz3KTHAR4)9NcoRu6UcG3`^>pi@!~NWN zmUm6MLqBGoyeb=O&IS=G6B5YY3lQ&_J1yis&6OjCHM*I+>=A1`cifN}#SF~hnUmhM z(2`5AuGU+XH6O8wjMn#pr3+J@XxVx>ia+ z;so!_7M6)@IHcw{VtWpPAJcHAc^CRRz;DKvwftz_Bq)Ux^nO7&z>Gzc^@X)LayFDW zIaT3U8CKb$i?g&aj1^svUuB%Vh1~5ew@aa#*$*e?M0PMo9n;sP{&IwIztS_s>k{Av zL%$qlv_Iw*4XD=N+;HME3%t26Lfgl&SDd#eB)wwq^eammqBgh1SzgS{1=4J$p($If zONx$ylTaI->igY}lFquhyo!SAm8I}9gy2_c2|cOko#baHj5x*Y%?2A|1t+NAAl$@J^8DtO5>n0Vy7)%cqwo`Q37n8+n0W| zUj(5;%NKEp*!JwaUJSz}PG3JN?T>H=E4J2Zf7AS0@c`9**08WVE|3Ld+{#VqS6#We zTQ}?;=S7}QDw?EhqlDLmg(6zmt_mKLKa8S$QkVQ)Ra&eS+`5JD$irpZ`fiQ8W5v@M zdJ*g%vp~Nz3Ro*C%;(xq^PWYRcY(*NCD*v(Zl8fTvCp7LK@J(vfg9nO(;~}y6uyuiO|^CIAq5B?c+L8 z2>enq0Cee-uqxFzbU^XEsrxB1RzT3h&71jKW4`!7HQxifDzD&q(S&XPCS9AKpNF<_ zYt}@)v3-%#B{Ry?keQXGacy>~l4PFWo_)jkPIG}X$@}4Ghc|{#5$dn(zr20QrSYZ8 z56bfqP4&Z|y_rRTzgJb2xU`EtMnd}27GJbW<=2bZqIKCMvq`zM>#RxmVRgdysM#@| zz{d!B@i?qxfN{;WtRbkLnVyf#bpYOhV*szL+uxK^MBNub!&72-a=2e2vo^_CALCD! zCr{*-uh*eP($V$9DZAEgk=6oM=7&!U2=3lmGIuUR+vb@UhAqK8`c`Z(!LMQOC!e#UHNSJkq!>3f z;a8(36t@}RT0(rKMB!1umhgQK<~lOfj8;@iIsvZ#DjFqPcy+m`^%#jF>F7hlP`}*v zNbcEWziUjpZDIt6?*XtYWoB#HZ?+L6P}q1KcffnwpgkfOoZ(xUQi|iCG}mT|J3BE9cjH?)3c0sTor}xOJFLG# zfPa^M3_Gnk3CY(uDpC&~pejxO0oN&`Y&wa|>Z{^karlq~UWmk0<;8H#ENxQ6rqcsF zNcefksAj_-f>i$MPZ*Axd`wf9od%yMPZ5Jl`CGn|An#>0H@$!2bxjq zk%zlqe#APe>PiQHD&zm)_4?5V90YUTk|(4*>QpuYT7bcLDIPw}gRjN<`fKbrxGfKKWKO74+r35ljWa4PCb16sf?X zemC{%RAtBE9MOZwMON;@P?c`JK^I-+Tqtjy*CbtoHBTIhRZOoU)oUgP53}i8C|2q_ zMg9jH$HtkzQKMv&zO2zn zgNtqf5bz`OhSN>?mZL@8?N^MDji&>{N`m^p>eq^$t4I#zhqYJ2W@5V+el#Pxyp8CQ z?LQ13QECR%h-trr4YbOcUviFo@h!I#PhG{V=mL0}M@vx*jdYkf?)-ZRV)TIx=ZXlf z5~U?;)~=RJqM{xzf>J!0^`dIl+x2=H)c!6TLR0-RAC~3;8Hm~$vH0?GSDd&%9qNn8 zepVU}Dr~La(8%>bKPmh##?C3obHLHkzqW0A+U{w)r|oImwr$(CZQHhO+t!`CTU&b{ z{#CnqOP-UeBKsf?IK@F1P@_HoN8*( z%wt9U)4m@uClzD$1Y7NiW=F$6m}HtyeT9|?vqD;G@|G^o4CR?&sV6+^aqZ5FpD1@+C`z9h4t7tKB~yrE)4+Rz%_i=d);70CQ6{Y1hrH&mX17JO zTGhS%aVf*(dNUH2DI4nR*RJ2Z!?5?H^{x`}yEH6AEVl%7xEBL2P!xy4FB5n!kN784 zR%?OR5Mc=)_h(4F`te$cDk+C?Mc_BV71g!M(99D1iHc{45oD{`HcNUSKQ|OvTt?Vx z2wK+Swri@gLfx^(ncw<6HQE_|jA37bSZy7&=uU3G6fICsdQM(2h485EvD>7T*(r*{ zaCL%V`8~qm`?Y#2+YNnbG*5&YLksZRe>os2guhjE8LiRaKKa+F`)w4 zmVsq!%A6er-B(M0r$|p0y%ipi$a*-Nvz$?BH%%cAd)XzXT+{uj@YR5_EUYDtaOlRRLYkJUqvKBSzK zQ3(!s1M=7u$c28XxJ(7@Q8c^P;_zCqNtP-n-f)9C*F(2)<=w=`qaEf&T~fG08tLhB z(oJt?jB1VwP>Zn7W=nPN%(Uaa#Ghzegi$$m>%B!pC^LwL_zSt|!~j|1yr72V(E8e2 z{I^Ycw=~;IR90RZ+j>9R*#N`p(BKSn5UGV!uFYgnV$HdLBO)*ZPqh*?Q*D=&eiv;6*_eV_kA(dc+jl zHp9@-_Sq#uq{uK2tQE{<)g5taqq~Ia=u_OqhUBDT@zprO6#q19mXXR{r~Apm)%ro} zbHNnByJoCa#J7k|*s9v@3fe2QtjE?-(U6dIEqS0fJk<-~v5+1yMwRHNK!+AzzjY(2?z%0q8>0*yf>l1-3L#&kEOxhLLc6!8# zCju`fANkX27YwjDS88K%3A;hZgPn}6{c62=3&CdKu5#pQ9NG;dPoGw9CUEyJ5N1gl)*?&Z(*fvK}N?=P9l_Myi64}%sD z$^$iRR>}8CLUdv4bTJ>;D{2Uj@k1Us=@EY*WRCIaUlYALeLgK5jJU}-8PO9b<$pGY z0C$87O=WZ~?*jAg=hH+>r*MaHF*@-Ylzuafqiqx_;1j; zBb_7P!zq{cUN4&FhG<_+XEFTpIGN6)ph|Bzm4>4BG*5WDmFS;jp`mN=@b#6qtF@AX z1pSiU^#mK-rYWPufV zNcA9@GCt{3GP{X3ni{-y_*Ck}S1o{+V@>Q98FE#+6!E#}GZHFoIK0&4=d=?bY@!-ofyq1Q6HtGp4uRGC4`p?t_z3(zsX-QGD_y7s! zd`~)eJJWj9K=xmIP@@Mm&$>S^r30lM1&tJP zx2^oi1h>DNjS&`@S}RwM!0W2^ZgZLWTqVcfl8~*+S)v};5GKskX%vu;z)X9|A40bi z2}#3qSsy?k$J+%t-7oQ=Os&s?fuAXcQE6O%w$$Pd?$X6rxW+R@Pe_z@(Ffo|tSnKx ziAs*-O;9=TW@rMB8m*SVgw`3u9Qxvw>3d`L0ZmoGnR7arL?E5`nH)&Pmy2q;4eh%D zlB|X-_yxG7_SeQn`Q1EnzX}A%iqgHE-P)-I1`D9<+p!cfc$u!J9AlpKNTc)EI)FS< zJ^vP19!;fvUM_#=U1NoweQ+dm__@M2*mM_)&xTU~0{8Koj`rWlUVL9 z$mC$PR(sO`qL~YG-j2v@WULrZTbZe4-8=byr1wWVjQ30{k}rnwpj?N6Yzsy7a{?0Y zA~XZ0uuOx)&d{iIiWMGS!XRptEx^V-wG-L6DmBa8u^2|=wz)xsmmjLPZ6Fs^K;#J9Nd8Z zu$OeMUwqFM*MzUR-I@Rsr7J(9gMFNxpDh@Xd_$ z=T?o7SVYwZQV{Km;Um(^;S$#51O&9}PTLqD9?|#5y zUHp9GC~|-?!}`q#cL7Rlm;h1$04gHj&!8VafDe)4nVzs;7&jN-9HI`w;tEs_$v%jd zBaFXycm&+kB$OZhwnFW@6%GPGMnT#8&VrA13T)-C>b3O+$25bm`;%n~77X-=s4NFL ze?dUDN_G`1MsCN;i-3TjU0Xm+-#?_B9)Pn8B)ksfNK}o8;S&0Lccm8~T}yH}W7zph z1MuQ1y&&kp?*~5va`pqr!DB8$1G@+twf0pJ(E%3s06b_;zR4({-w>7G5WR4(9&7+a z`qQ1GZ{r^-(4Zd~a1Avg+^k+(dWubSU63FFfV#war%g?{X@VDRl88Lwo01oucCkD>{ z1cWjJ_RWk&UMf1fQ&0|F5FaO^(tBq{p!Ps(1>k`00@nHEd|r90bzL9GlM65oRi}zZ&*}f(Gs4x70-I|@Ao$S0*qbT2j&To*P zE*)MiAutp$gK9pMAFf~IA-ABfx4r=GPeFbFBq=cPKQ!0px0)~x?AHd^EngXxEeX&U72``uIa&2{uMe5<4MtwZ{A z6P&oITf3w8ymR+M0_z;u-}wzJSLh^^51Q-8KL+^Tks}!;m^0_E%(IUE!BZ0Omluo; z+Q=WB1VKIogZ{n~(n`wxS9r6cm><7JF#3Ll^A?8#4-#rbs-D%^L03daeAQu0?5@O> z+d)u4rT+=+t){3W@~OE?ffE=z%kiShzaU7v1g#~o9`gYyQSBRrU)0O-*$UEeWZ~9IU7Gr!a$zaJySlJ=10f-{^l2K zYI3w+6W_F6kb@}tL3})ZwegVkHL&K~)G0;JyJ~pxgWHn4%*Q8K@`_iAPNHP6W0dwDAFdXhF+Y<3?0yve%`5(Df4iXq8H zi4>yb**EiH#nL!#J!m&^O;#oNFmd!6Mjwj)5Y%RV@uB9n1;!2*ZUX6?98sxz&+&Bi z+x4P8N~fvuv<730&qwx&X0Gwa8X~{PjvYQ-W9mO(w!C;82JsqmNI(>~KvZ7RgklH7 zk$G64{n?Fz9o7O>u->jUYzSUed4I(z9J_Lk$H^hKq_3Mb1|1QoFQ2rccO5@#=U)YV zDbFdTU$*>1LF*Bhu)t*bRWEIohZp#AEE&9S@JdYjaz)h@0e>*voHjeaC*k<97}ZAW z3;OmUMB?+qC0V11wS^H{ODU$g$JUf^FuGX^|elnBp|Y*?Xm zC&gr+h>)&X^R&&i6uT;3jfi8>xg6a#<%S5q4~2U6DBS{NQ!Sf=hZTjQPw^g1=iPZ3 z8LciIx76P|YC$qy(6~pIXMmyZcr|BID6k#>>bRuF$Z@y4iR5$-x#{^xsM~*s6Ec6c z34?SDP^+X7T(;UANG0-pQ&d7(Jg-qCT07xoP>qfuR=j(2W)==Srx($V(41e}>PfR} zj0Gr3ow&Rkx*DAG9ckBrrW^zcAVlgKdPpO0YH^&$Ptq~YUrxAeci`> zky)L!XRfr-To;F*p3|4FDrYHKaMW=zb#ou3Y@&Zuq1mw%WOZM<*zvj%!ZcBgpl>+^ zXc1xw_ZKyd8KPKu-I>mvVIK9);wTF)CCv}R%=Lg=`?r|DQZ=1c&_c%_6rbn#kg9Ub z>S3RZfm+>@ge`F64@SfI^Dc6A?=IOmP+{W`ZdW`(cmW+`HIFKVhX zXx7~ojU4}g?a7SNysNU|0Sei{@`-9k^5S>C%`v=zkn{)lc}%TcoH`ITy#th=1%xotAQ%lPG!U>A1&&oxQEGOB;y7X5Ne!pksDf` z{nSW*!$-6+{?*^~+H&5crk_It1EKYWzCcN-r%&cd^Mt-_mNB=Fbj% zj0zI8VXR+7OR$E)AmpE31PYe#{zP@kGzMXA>C<}n5HTlnX?ZU(IRCM$|9ke?ck z!Xw9M4PT_aHtsJvNn5XHUk5L0;hjcBXR4C#{!u?Rb1OeY9v7uQ)2&=i&T+?VfOsY8 zrC+sJAuBe*G=t=VMuy_SPt8~VEIByaCNa= zdRh?3y%nv=*go_ancqwX@P8e3=N5~?8Xe?A{*4`ZXi83}r&r1-w@04P4QHtNGOJ}m ztvGe(lf*Xem~dyllFx3zK<7TjAttr?GZlxIgqn(DYlq3oPMNuX?IM*!5TT_aNqABCJWN z*?ZbX%}wPz&CH}4kpzYPmA%N0j;xX-ofMX3Dv82LiQN%o;%5HVB5ZXg-m9K@y-bc(gv|?QZ5|bpPS`A^7~Q*SOt?h`UK6!K3u0if9=R+C1x)tz|19| zj(G4fQ4+zt$>A~N+~W25{W-j!O+W53e+O|L!+KCh9i>X1MvO<8H<-pl)-`a7y}8K!1d2w7-Vk+gnhTey2Nq`bVh%Bl(7;qgbB4tWyqAj>~=nc&RMZ#w!?A@eV+GW4%X;^GRsT6`Fo86W8 z5s=FHvJeHr7GnAg@?Nv$Rq(Q0!83VeQAc1t93E4h#*JW72cBCumW7zLiIAoyO#-CU zg}Ti}#e;$~OZ)RqVdb&8wRS~UR%3Z(*ySSBa-1&6QHF@sgk{!uG?pvjML2x$ZywGZ zt1Yqld>)j79%hs=RJ2F1ZAbP$WBs!WAv2Q36k4aS-k0*yx^S;_6=2;E6~9BuwwWZs*dvDO&t{ zdRp>4!rl`07kWWTR;z>wJeemirK`0tN?SdcXFbo*;}{d!eSca1QC<~)EKim(GM)yY z%rN3lzW4j&Us2$v2^VgXVYg9>A1Jcm(p}?5tWQzbuQl1XvyRVJ*T$Q9o$t+6n$;x_3P^@$n=tB=(s%pbAcKj3B|hmjKCM2i>(ejDmlC(t z!hh# zDKE|1&jp=-#U=8?4mxxjIyRW(J4xLXs!`zVJmwc!VP{N>e<_7Ai}sA~_;_kvi>%c$ zRtw=XpOX=6sG1*gN_R`mYIhG}Yh&f+%Su%vhZb5BMT&*k2s!C@zhfB#nFaAb;91?c;89jx)y)?*K!Jk1`j z@qQOSVzoD{l?#9B^$Hu|VBf7fG?zQ_Nkx$O;Z)Axgcw{}Q0MN4slA_A;cOeUKiA`% zSQqKa|0*=rX>(Y{e}>fa)`frYdc3jGj_;mdkod?KPVS<7C@&OS5-9rg_QC{{2E`rh4|&u~OW${w`ANZ3!nBsFm>o zw8eanwS88HIL7n*Zev)r%2Ex##=(aO!M>yqD`27!BgPXT5}%A}p}n$6@3!v0-HrNl zT_~fJ?&Qa)Np}l~`8#udWjJ^z)XvN2LloqzBnlQVDAG{}_uD5HJVa>a8Tk?P_FJ`z;+BbJrCJc1Yhz z7lieSY=zWnCt{1*g$+uGJ+$sw8Y)vUE*bhx7Rx1~T@&uzh8sm2!j9^%E~$Pu!f$8D z_80T!jrVA-#Zlb+uPI(-aQn?|xXcjwZvC%;vFy zU0HB3bJ1q=_qHvbEXTrUXzbKZZ8OTMuHiNkVNT@TvacBkCKetp=dkRR(*_(nSPQ!h zf5L&&rsOjSwLIT>7++;>>;p88XI$^OnYsnEE)*Sb*nD`$i*u z+bwi5z?0dUrCrHyn;pj8C7>Q`k5aJNR z!%VVD@LQk<@(RXrF?JzuRd|XLbei0F+Ir9VSJSDKhvA31F(c28;N@SMP^+h{**IyI zg2{m<#0n_;_t;oB4@3d4EWpSTzwjSDJk#IYq7lxD(Dv$w^BMDfvcDGMwOm`dF6SDP z-eSF;!M+>Teht`hQD$HAKT|(gH{?^e+ri}YiMqAe(}Jh4C$Lwl!JWD&pG3MNWH(w&d!_xH`j5nF=8LzSwoMzHrV$S_XB zsbL-VX?ws*q>S28UY<@HDEvYe&RAivQ^Q|JhLUC;zq%{=CEAAO8@e5ppqY_ z7{P%)Okm()!XNeYoV|u{L3dR9WmZ&~l4^v#Q}1hhLCyN|>8li}tgqRBzXjoNVQi{C zm(qNt75}5@d;QqiWgnml`ePbW~2u>8k5O*F=KLD`eHNcs)nAyke4BBSbxK)ZeV6e7@qMUq7~88Vg^%0p!jWXx#zH$%}(r zcCCfgt1%`0tO1d-Hz=qoDv&g?cd3Fwn0jtUc)Mep6ciaPA{yrfc$*F(G77mB!yr29 zt)hpHKdJi#q9(uddF#qDclfx~Yvlca+fI}=;9&+D=^QKgaD`WnS-kpsnV%@T9yShb3p6ElENE8xTGvj$o4OsLjKSaz_7&~!V<-29Mxeir54=9{1 z-AcL596J?fpH-sFk=9U8Tzv!?_N0dSP42MQKgNMU=C$^DnPK8%i(N19xK7Y@Awv}{t&L(q+Dt}=;^f{3g-VBbm#0dX; zT$EKa`S0R#j0_M~u|_{`lfd%FMVS#J4i1S7cczjL4-oEGK{=Yq!eJzX3E{^EbLGI( z@MRc#g{N6uka>|}W`js&(qv;>Brh_Y9L5Qqm+`qCG4KNjEysj4*4nnNipE1`K<;Li^-(<*DM6c!PIqdn|NP6dI=N|)X3L@V8BUZKeg)KLC zgOzjWYgI6G-NQE*`1BPP0sWn}*0fHik= zS%YPh9jT2|m;mMFT`?TWOI4Wb;}D1-E#X{XuLtQzX}57Bnf!*MaK7p~PS4iOh~DFo zIDC)xyf1x2e)8RZmJw&=y8H#|c|LXAj((e0=p-4kcH7L%JS~(T%-Inl%ViLsAiVv$ zubmsWGE|#t_><~gm)ddUbR%|A{t-k3H9V`Adt}OJYJ&Zcmb&vXA$JM#(?Rq}erPac z_g+s*cH@8(@;-etXQbQLMNme*e<~KT>2c3gsU&M)PzKiN;Y_zKzA$zgt503Siyrag zbRJ))%TC0cY>g>0p4glgMIw?-_#!yaJ;t89)nMmFG$tkQDLOExDjQgg12^T{ zlo)LIBr>?cn)Adl=qa?U>U{dk`0FWeT1m*&6JuR=D&i|$eD7KPD)

J7wUzUSEu0eu^R4T9k|Z{$00 z+i_Cd&SO^MBjJB4&Mok*OmXoTG@`eqs|hP-mwof~;( zRf(MSr*A=D&$AY}9^$(YAU-(qM334EswZ65@OF=&pCvJRuZ1u1yG)cw*5mTa>LXIOjjr1v9IK+#Zw_G)GEIeg$W;|_549s^1hK`H?BjnE*paLZuf%mruJh?Uv_Y} zxVzn`Qa(DClVF|V*hJ1u0>h4Q8#O_^44mH56nJ&!c=%rbvo}9-InjN^6dte66}i$% zRYtH8dz?@Xby@k@&!M$N1VrR2U<{V6*ob)qMX$_+v&nLX(gbx(dWHDtjdG?^?l@F? z_+>?0y+Ez1`8YZ-YBIqsBzP^T=LTzI9dQZ%Q0OkjH^jN$cYiz#*jPOr+4{;0( z2i-8UNoHY4vj0uoW94m1zrGFX!@TQ8ghs{qtB2AAj*NIHM}bHQRm$+f0T_kHH8lbF zRWcI-NJ`1aWvs$9crF{T31iHjUoKWTw$~1k-SI4LE}ZT{CwJ3m4Y?vj`~MA zo#&O&dDWGAbjy4z)iS(%WqhMfzfTcf*Ek5P@B|B$tE{D-WSiHYrhWUY+szghn?SA~OviSd6~6#m~~Yh*K+9Nv08ZFmU3 z?Msl5t&2;DZlBZMHC-Q1E6V29e;@uG5N?JyUb4?^KPp`+ihbC$2F@{SJQ#(6_u(wS z!OQRb@)pz(*x>5!GQP2s7~t*z9v&209v%`{%Ch*f0I*vEX4o?5+3D@Y_3#HBAVFt- zo)DLe+Ux<3%*ZA*{`ooJ-d<2$-6KQYgTfLBhWQ1DPubiiJaT^3nXyGgLLr#g#%AF4 zfmmp@jn?%v>v_*S5O6X-mjVb6wQpp00MzXL*B=lb7~lLR zKg!v@rydH5R%u*ZOZKzV%&aW4Cz>m>s;fvh$}*toV)$Ra^!y&VStzrJw;g)EmDyys zH`AtiVn7nVil2Qp(5j+vGoLPfeO&^A%7A9azj+4c#t}^+T={TwDTv@=8-Ucm@MykV z0Kaz$tN^f$us?Yp!oFEJ@SK*M|ekJ7b6I*0H6o83?nB4d{{OH*oil zpIys}128b|C9Yrg^^fx>o4=ke05ct%9q{NkT&&FCv$`|IU(j>+akP=v4q!RmF^K`< z|M@uK%W2#mnV4N4?|+hg)p?ODp`xTMF8uT4GV*f=1+Crz*fdK$17eA!c?1OS2n|1f z_dWEO9X?6@P#);CAuEe41EPB>yi(45sGQ$T02JS9@DjZ~4rA&)vb2c&cP691&(u!g zwtW~s`C{I6D1UrVzB7(~SPy?X2<1g#B6>Daecpcfta&6AU{-v9w?mfa_Pl@$D|c3U z&wWD5fq%5sv2ydu3XXoBCD>29=>2_@>V|v_S(-3@I{{&jXK-Sse)7=zY$W;Eqy?3s z$!)K1KfW{o=eqTz{~USf(1JX?lni`(k^a~N?XaEn#GuwO)v|te=||F30(iK%cvMnf zB)vsx04~8VS}dULpT7qIoa)pTAup)C9v;~M5(}=>9k%gt;9Qhft9P6_pwqx_LU=&d zs1G6zkFU%lfjCEzZQ|WSg`$FklDpJHylqwdJ`F@C@uslx zfg*gOs}J$HV%ynryleSY6X;Tg`vbP4DAnuNVvs1T-Co+h4Qr;`34(qRy^wmWdE2+Kegb-TO&% zy>C20U(m{wt0((r>5xaZ(mVcY^E6+N98$y-5ZK(OGou)EkPR&^%%gn2wjoIi%5=G9 ziBs=4m)NjK2u?PaC6X|&xa!1e7a8w*ZQ?{rMmNC_kVzTQH(?%>KQOe?TOT03d*#Wi z=LzTW8H$xty`dV+Ps{AFwaiUcry?O<6Am5=E{B!Te&?RAB8}xKHJ%3Mu`4pBf!x8b zM}e-W-zc_6P9oc-a1>i?0~&12e~s`)X}TXhHMpFZdV;ofd=rH7p8u3^J?|jia_z z0=Y2$3O}P`otQNXiqM2AG-y^sr-u-`PbC|4e?}h<5&YfLmd;~;IGbITNZI0PGA2*B z$pck@#Z~%%hx!O}deq9yz1mGpiL@xf)u`;&N#OvGjvK!DSN~xK+U#flpwRj`x(zl^ZD9pa7R>D3nUC z`gVG7_|0tb8DoY~M*~*jhn$%xSE;oCJ^$7U+aE-UX(oagNfi}|T9}c=Z6ncdTi{!> zlM4qQ+n+1o+lhkG%6Kh?a_qTG}{UV9|uj zRI+U(d&cM?IcHG{X2D zyjq*spo~tT?1IwFz0S)F^it46|P=NatDWT6%5y%Y{HdHfEGB1*@8YvwmGkKu4 zyDGOj0AOWFUOWZHA}O=W^bXRP?K-4TW@;*EN|B;8pfBENH;}S7o~5}sNlc!3v-R4t zB~!4$#XAVX@$BOGYj+Bsm`Z~3qLGd<%!fNZ`Wo&`Ozv*uttLQ;$JH`)-4btzJ#G&D zyZAVoeqw7%_V%QVsT~owb^}=gM<(TFSCzoyim7xq2m$*3R%MGj3weITvCK%VgC{?r2R@NC4z{HP!CEw^Cypi{Q`404+8}@F9KXk z?WV_xt_I}x&mQy_V^NhVYE9-?xM{Qr6*be~CO$MrG=m%Xn1M5;h>kj0wzOf6`N@{c zQ7q7{IPC7c47fwGX>766Tb5zKA0~3q%n=ft>=Fb?zr&?24lPZ3P?FBXo-a@2aJN8x?EHkBglV$;Yu`YlR9D?`~M=c(R&9q zA_s*N`NM;V1K*jr{M4J`1uQOA1Patu6u1Kw)8C%c9_i77R0J^bC6tCY-i70AfuFQf zJKPSRE5xf6Z8_JR#0mhW=tpcbg;U^(-Ng}AW)8z;Gdm4@2}v3lD3?pV>x+S`)!vsc zS&`_@;hvDz@?Yx$OEuzKa3SkTi7|_)LNDGFg6_En%lCJ~Dbbyl+iu+Z-Y^UwMIJkw z(dR;eZueQ=9M=O_%|a;&QXoP-rSPKeYN-0eFhN$>pwrN7CGKrnWW3X27<%>2F*8<- zEcv)>5>`uwRYe~sZoc>0716I(XJ7b(KHhFPKSeMrrB?TG?%ib+tX0PiOgWSIhUGq% zBr$LKFmB-g5UTtclY=|mcm=g@t3iwLexy~<737nX-&3D7$AiiC3lXAADM*@FWhwf% zh@(#%dEq*Pf@S#bD;R4SlO=6`BPDy!O)UDMrfk<5Vw?Bx?{Dp-_EPg{r_qn9y~}l_ z)3g5LaB(Cbqvi)xV7~|>*I#E<5x=6!kPZ=Ax5COd)yx(t)#UFIaqa&tm;At-;()Kh zIRGa~jeM5B3eUqWcjV4|Uh&EZJJRYRTe|rBxfd)I6lyxT5-Jd_);Re=gR} z=d_ZQEOcqhMho{{ZWqS0-t-?r#b8#;$fdB$xsY>1jo7{Y_^3Vi*%_xii#Vvxx@>jS z5s08rw*DuWg)cOya-8s-$&S?{wiSrMyD2id)Ir{^t4c#8U4nd`*!iJfil)}C{oG%2 z1SV3ZTjP?tunFZ5l1QMzToHu|Mc?(@iGuZzyqn$-B8?>lE*&nR9CRvkZ~TlqJ*w#z z%`4y6Ukf&+3w{dXXnk{>*^~C_+X)(5A^5fPuI+bX2Ol4`cL~A}K@sL=H*-!vhYSt0 zjMyJG{v(DB!v?F;6jW&7nu{8vjR4{_Tk0mXnpIZuvoT+{ODy^~hN09rXOIKq$_)u78ks5hPVZzaK=NcP!e zuuZJ4y6V#_hx0nT0Ok<6_yx!<)4I2!9_iq35BgA@xsU!7%(n?T0 zY%Y2vZ(l!e-3^ql(&3x((jzCVTM(MI%ej7a+wWSIXA%Lyb`+wo0|B8@)6EuH3mjP! zVPYJ2?7p2y{6no&uR#!|IqqoQQr;E&s?fce0^;&KL`JCXS{g0B8$Qc03*@OpQ+^%> z(n#_g?AlRYThxtPrh4&a$ZpM*wFSSNpk*9|P1LqrO1S~9Tk}MlhM1x7wU^)T_Q;+@ zd$an&WH8?KjamV0=g- zc%=3d>U{19({prXd)oK(>Ul}4WQ6CNnW|Oq&O!rC6FfKUkfVb0VgqVqfn@gr=amH( z7oe4x1;dMOM!7GdcEYFoDl*yV5>Vh(I<>$a7aht_RQWi1t_ScmoT!%hAa#=UT_zM< zAQuY+7x&et#I3v(`f)z<*6l}|PQI~~Ob2{|PLySLD0#UUILFvFA{z3wU=cLfq0B18 zHtnPQhvU27))59xtrw>kxJSvc4NKxd)ec5P!d?*tEvRsp;XJ`{|UGX@4%)>B6 zmh9ahi6bOU?4;TLJNZEURtQ9$85WYX-WYQVP>BrGin&X#hrf*;PD=(rqoWmJXj9Vm zdk*}6cFhG)rS(evaznsw8(s%1t)%322e=D`ANq@5UVp- zm0TTbWoOouj;1rn(&#jw9uZ5H5*~lIW&U*o`;;+bX`(()F5h67?M>+-(F63?P{<_r zeu1xHJAeZ@)&uK_-brJ81y{5c{8gGX z#A_HaJ(^%fLiFTH>Z2PXR!IR=c1hkA7x}dqqUK*yK2D!KZumr z_Jzi%bE_^RO4UL4W-!69z*l^lwERAs`wPYuClDN8UA4l0d0b9YSYXYM1r@R8luk;$ ztSzJJl*vuimt!yKf;B->)v(*uMj7dPiPvOndej9Wr**_gC`^$w>mhRE6wh?voh}`B zA}!#em@TvDdX<~oi^{;oQH!juLqfG9+9iHU52+%8G57`A#?4hiCiHqUldkq#J)pn%;fS2=kU2 z;)%}JwFS%Gi~ja&&@=nf^HA8PNpC!Qnx~XqiAJlD<5>Sw8X$r8Uqq6ye$^=_t(J47 zm*wmglu8m2t$H33(oPoqsRIe`xYtlylYvyQfx(b5Nu&g8q}<2Z6X?ccm0S886&}SQ zC3c$){lVY#I%9c^fQ0` zFqr^OSp<|%nRrvSJuB3su2NCFxcfgzDD5X}Cs+QpKGo_7Z$xf0RHM91VcX}-om`$l zU^(t_8&0a94EC5d2eQu!z&O}vl=Xd?I=d%-+dBbU>w@#vTY;AiP0>Uj`rXDQamn6R zQzx-AjHVCt&;uGl_3t7;iqutC7vEURe+WpDp%eL<+oiQ|2(V(#u0*_DD$%AgC62EJ z-rf(}msK@6p`IVx&@5+PucOj#s0)-|T#g0r66-D(gDOz3s>L<6O0@=krn?}?+)Q6ll9EKC)c%IZ_dxNoD10A-lLF3}DJ;wL? z9g>&Ff9*yWqnjQY8D?*Qu2u3NE0>rHTax`QMBGQ4v_BhUJHGR8$nh*A{I`N3f8mMQ z&c_U<(w~1=ROFkxnv)pPc3^8d!;Y}D@E{Dn=9ljOK$IXLSh|zk`V5M|edS}^0*O=j z>w`N=bN`SoZ(osqdOh9<{?JWph|uL`1;i$+6i9Z$jhvCuL+mPp2Duglum4C52Mvqg zi>=q~OLjCkIObt55R5$4D6ut#7$Zt;#M&FN&1d#K=-sxG9R)Tr03LEA@x6Lx_XtK< zx%L4kvuT(7B%OC-#1zJ@=Gjy@uFzAq?SU4|TsUBJj zS>+#0jV%E*%Tpq=hSBxsO5WtXhds{h2(awXwz5YEvjEnBJQT|5^^Uy>0v%Q zlX8MSQeIGW*3yK74Q?v*A)QKj&R?2$6~6blsA*keV28lgeiZJIV39IGOks@a3w6 z!+=y%|NZ5GEj8~@?(b7Ie9qZozoH_e8EP{@?Fp{vQkbDcAZw(d42Gu04ovXbZq82< z&K&A~?6F`TiI51dvEtnH6ruQ$o2N`s&X)k_&&rb^fTx%f958SJZj?8Ix*B(1+`Mmn z03KtwL~a9xB@485Jo^VU(KDR{7Z?7#5O_zO_)7UEXxTz|BB($2uQ4ATop?3BFud?S=_>^FAgV?*e>x0d764U_yv62+M3nALCsL8 z9t0z^42FZpJ({oRz3W4_e(#!`-aEsh{n$L`7-X{v?IJSkZk%Q zT%U#!T}*9=P&-eTB{*JkzrT{ZFjBgwPU0Oo8=KXXp^rPl^bWT~B+Z5A-Xvb-gY+r& zFKr?0%=>3OuD4n|`?tZ6s|Cv}p>l{+VQU9qA|k#a+l!MQScu4OVQY}yuCL*<7G~kk zIzyY=(+W9;n}?@mnMBJYpQ>;;1JD30^j4#Cx}5#x?MMtubcFCxmA@D&X6kcKyF(HrIq_{GowE((e754p(W$E zbElv1dwA)tYTFS?R3?*(p|*qT-)pve8n?2t$7V^$|9Hzo^SjRTx%F?smUzIlBgqo~ zZOs#j{4yv}#_%aj2?oB$66-nuVr!uTbDx#OmfM{QrS(E^GG%Bke?y|3m*lIH&Y8=t z&zs%O5p)i9RCBK4`PQ@!w+$KKsYt=OVh`mhzX_X3D+E1L`6=y$&Uhc2Dh3XB8e04M z*J`FF`>Prnm-&D@=yIwb311g`Kv_hT#l7{)b);TAT^aicsJ8!9Jj~ZvQwX$v`MMzV zPFoA__teDTvFbut3~e>|m9>(cutcel^SL~|al+Fp4x!mvW^=;t-xab--jy3Tdtm@- zMHQp#mjaAw{8UpjS4eKD32a1F%81$6bi7f{VODp7;lZv%RjuEjRqNf&N@F3x`4>Q` zekg)F#cp=AnFQMZ#JF?9N!%^N%0SeD{g&47w=!UTb-(6;S%g7{4k8>dNdZf3I?`9x z$qn*%pAH>L;DVW42z7=8V$&{=MMF zHzPt#CIA;FdciAWFq^&(JUfGOM*0$&tbwH9FmB^Q6yF-52Y$jPTJ2WmV6Nr zNuDOk{uWA;>M_>*ssA{4tK6#=F@O#ICp8ys8YxAL3uCeQ%P#WWeF4Wo)G7j0pXZtQ z5#rET^QMV{!r(E)Kwc4Rup(rg=!$Fg_D%lp&F& zR8zce^L&svuf=aH>L4IoL0q-o@Qx>aIs#KZ@4j5Zg=w=11*gd`MH60!kYBKnn>s`X zlYxD-3aDCo%+jQ?f&bQo7Bwz-7X*(K_jeQ`+?6nN!Q&>7e8qrJGlXZk` zN@UAXlPee9OyGOCw*}U;e9#2N)li=A*2D?~y|cB?!52T+kqVF%SWSM5kgY_Hy_k*la?_%#%f%$?E{XF1|EPS8(`6_!}HX zBcgP1o#9EFBZuPHwWe_8f>Vd9Zj)0_sfm27`iB*xZ5}` zvnZ@mi;5bWq>HD!WRczxAIElqK+A#`uZwuS2g8v8iKa8jt1y8rcCZ-?D|B$=p7KCZ zV`T?~00Z@o`RMHBIeF(Ik{9Gyp%?nXVb8!}$w~jBDK5Dvv)1mNQqu2rT};OC7q67K z(L+C}IfJPNTU*5Xtg3&Ie4uU1#;iuGR2_H6-ioPvA$*$?2dlP@hHPHiC+nVQ0g;UQ z*elmll2ey#54k$HQH7(par;tPaaj-%bWs1^Idp5(MXv}x>Q2b4V16$1Sf(r7q)LvI z`U*M|3TIDdA3fZ*S|sqi@jqJIMTb1Q;TA^|@0~P&mo16&S0Tb%2hXQq2rl6@G$dU2 zW+cM~=U9-R6PLks_qd#;E$mtRg%Tg-bosZ{`Ms;bPg@9UDm+0q2*Z;^jP6S+;K>Xk zBtr03Gf-4AX_Cq%NAE_GyIARo5XH;x&17E+Mq@1x=eZ2jo;LyENlhJ6k2Y1$?bJNI zJztk4Nwbw^94Md?eCguRBp{Wv1?)8^#x61+-Np_re(4Aw^AN}9IC5j=>oC{kuEnYD zFqYue@P#bnK3o5&$T5gBcWK40!Mo!1KF3q;Q5HROQfPnrOZ3RQ#x_Zyg1%XY&iFpq zgHnxy&oW3oO3}l>N(*UwKhS%gfWzcXI`h6#$N?jxK(x(G|F%jCPZd%;%9IhA8-#WV zWwNG-2d*sZq)3$wsHY_+GqHbd`y^~lGT~HeG&PhDozIlvr3Pzx9HPP8CLgQynbVr3 z7v(MiWSq?M82&^O6VlT*tzH+yun^tE>irgzjl@r+_2|faSOI1XfHZ^)!TBS$dXHpj!y3vLU z5Pf%(#AZC2qxj^qM!VQ$P*iY60|WXx8kB=^F^V6L$L}SAwdCGJ1yxt97Zd{0ulQ09 zyCpy-jBhM&cSHk1i2%O!j{rFFM9&s(Ld+tJC!DJGfvG4D!zz;!WEvxAFqsDj$pEdp z(0vlNKiC&Y_9#*+LjU6QPIZAhMXL*ykB`1j`*~_4;?;a!7rV~)nr$6$#GbctNp#ys z%G+IGgq7;0l7_;%Q+EdlH+Z7kN5=1_G}=`TW*?pZYo&mRN{hGyfH>EI{;KVGLT~e4 zg1j#ASSq{eUG+0EJqc4pCg9WbMUgzr9%dyI1;;d_-`uK`9bHfXN6tzfpZzo1-JWhB zEJ+Q2aJ|Fdd`1d*_CX^wY1IRDw~`5i0ev++W`-!)3~^Wt=f<3~;UcV#dxLgAn|X=bxhJiOv|lM!a^Ls%<)t@qlvNkT5c8m-kfM;9)B7AS zIHNtD&b9fd_5$eAfCB-*_W|>dK$pH}%MpeUNg?3Dv(;Svmb~V7O|8BRLd<}pfX45# zQh&}iZ`AAZ-?apx!eIfR^B_8IMOB_MvduRAzSV*RP-s}e(Uz}}?o;Huc@;VBm`B)% z;7a97hyvDOS+iC2Vz!fE2XNOEvU{dO$J`|AnNfI#=*tbukUeiJ*0X|Pr-|>YuO5O=P=Yjm3MU-q^ z5NH$HMJdP*sBzcY?(jtgbBPFhPE;t^M4z5|29J+vlR~?yNZ6?x{@!c-#2+}WfL^25 zU^_|iL)Fse06d)%OdSHj5+rmY6IL&|*=3raCjXWXW^?KwO}0WIZ?!u>t&mY&!2FQC zQ{&)stmR+PPf=IsLlLjUl|RRZl8&+F>C>H9Fq~wcrfk%L%m#esne%uWDrmxypPMSO zGTt;tzb|#G8#8rTJsVv{9@>b%BF< zueW93wSFJAL9-f*l>6KOtZR(`#=o8$Ou~mkl&Vlrt4#vbqYRpo1#Bq0oTp>V*pAz_ z@>K<<9!q2(>4mk*PJyk;GkZmyf5yy8Dcsf{9V_tzycJ+A&L52frE%)(h&1=-!T{#U zC2(bGP7aFe>9j3>Bd>42zv4>w{?{=zrEn@)Z(!W3s{b8fcP;;ZA`y9@q>8>EJ85oO zw0kUCTQo0}vb8B4iu;}zsMKY?5k6X?aHo4m+>{a!qn{qY&f7>ll)+_g z9I0BW>#iK_n>H(lD2NmUtH ztk)eqvizG8vO`ci4A2l#G$hOvl6?)Se7i1cU#U>n+v-#JjAS!{Eu9^>9CnOQFT92V zw4z^C+~#$i!lz7YDSaWvst%Z@&B~Q(>824mYn~{@J=4QQlTUIqW^~A;)LG7{kwk%x5S?BwOrpII z!IKqa)vB4nL8v7S2eCb zYN)lY~kan)aH2sP^uF3Pr9z9Lw+eR{*QTDryI|qSm zrNmRLy4`_%Zs<<4hRWrWT3qzkaF?{UTCFR*$}!Ir6XRi=n@Sgjz( z1QA50e0t-l3g6Pv@)+0};#qGUZ zarMz6Y_o|ORK89ae0)eUkhH{PTlI{iofCg$S8~Rfqu%KJvXif0S{6-SRBB7+A+O4i zN@MPlC#h}O8b}$bzAvuU{L!_D7TdU`G##ek&328&+IO|$dJ+dW6bapSLSI5;|7LES zl=NF(&#B2%cKW%TRo3u$GWt@8LHc|PQvq(x)l98S_l5G-Bdt94&?YMJHG4D9W;unY0;QYgzfIF}g)hhx$pf2CGjj)j)q%iNl|~#+RWVeOY1&g@e#g*= zaS6vrgLbs6ChXt@;I05D_vHsu&)#L8neXzsut8iwlc6wh6GVp~&MHg>HbMd5BYBX^ z2DzBW?Gi z6oMw|f^Rj`h&bE>Sq2@W2BC~ty79h5F^VPmZy3Y`Q>=3e;|-wsJ_+ zn+}eS?@f7my%zPja}gYCYKhD0Xhm!!Hs7iPgE_v(yHVgMo+>{TYjpQRRhJCRW;&`~ zi`LrTnKi@Fgb@#m;A!;j!qIZre~yNP2Akef7;riq z2wyN-zCN=S`0yZb8igY*6VgF72&J8PxAPZtw=uY$6z*=fdGrnSs41fF$exJf*SsV1#48Wo4&Mh;0wh~@ZO0lX=aQRF@qnx)#(OWDRnYy z3u0jexEE@(DJU6)*~O=dWp}aL8G#JtbiR_uI~DN3>s9%VWmS2}%f1ONs!GZ6rP3^8 zo3I`^JU8|E2y@8m!tyxs}|o6gja8dd{GJ9PqX^hAib^LDD)}`xWRxuZ=~> z4q>c;oGz6baQR#OF|3y+!4?5ZvUmsmvJ%T%YjXN_bC9*xOnJ>8(ka!lp*k5voFv^H z^EYVp9E4kGWDISiOo0oX2VOPm;Tt}xrQTNoSj4wRcnNJ?8;#fx(an|42D=dL=nb~KN{QId$1j|F)>%t40 ziKw6_S&ypb>XIu6#^xh|E^{U#kl%<+L^R5YswEi|Kz&V|#N54|FvdnwBEM}dP z$jYm3phb%@M^8wKd6ie~4T<(7f|;GB-jU(j)gvtYxVeDOM84}2kn{BT*nmwj4pb(E zW3P50DxLud(v$Y=q#j5!RUmp@3)gFe@b;S|Axj1t<32cSxoHm^)W@|I>MjrFo`I<( zSJ-%_jR|!Ivd3{H-kSO+`{C>*Q9T52ue`Duq2w*mSp8&W@PZxIK0Q{jgQ6v+0smU) zxqVwl`{@6TvxYk!@K*ZOAEl<^78<$ej+tYRoj}&dwV_I(0M^)ibNHa3^r#;bKhae` z*V?0Hp8Uno@UsxuWu}$T$n9%psm;U*j!WwqsRdt zqz^~kFX)#%tV9%^o(p7idoX(1B-<1_0v(7LsdnleWh45$hv6wcLoyvnCcBr-W{3z5 zPmmqGYi*od_5|5Hd1;Z!>#4vuFuxt0YwE_Q{#_uaz2bZj4RD1roGF5g8(rvn8bHvA zAv}$ScNqk(+)@-tW$E*Xf+}nB8uVSAPQI|xJn59xP1?NVP>?=da9A$qf9N5GPTXY! z%36d1$+n%^?JchbNly#U_LB7S8!b{dcheyn*g2!qH7VAVlbOsbs>ncc>v0uY$`@91 z^=}D1jKiAZ&lgi_U&vhZ6bCgo!K?6rSdy-1V^hk;thsKeBTErUFDF!*9#O&lR4f2L#g(Rf#G6#C}(QXY%zD^C!u2R zKK<&rtHVe_X&GswtUDqeS8_8eSM8h>c_Hc$x(G;SfbVvF2(=?Ds2nRWDvsezNc!I@ zoWPG}TH7&?qqEz;DE9XE?Rq5iEDMI3F6plco{N^JhouiuG(MBDLFnK^Hqva)(2Zwa z$TiuVHWr<*%>V(HVzLg9MzN;K)2g=i=9~Yz^3P0m89N^6%tCO9v0F7aIxV93H^1=Q zQ0JBf=9JKXCOq>!5UAo15SU{dZz;j$BM*GsPX{=AM>*LFVX)ZiJDhS+R2`j{X(BW4 z@HIItb3}@I$-S4L6{??F$;a`9kl?LuSGB2}*^(gGB+l0to600Q-LQ&_%mmgTp>Ou^ z@^i>S)vw!x`p~O#mAg3vm`kTJO-iC0;IwqJo&@G&>dVzZpz&ny?{Ih%u-CR>6n*P* z?RYwBrAZ+aP8A?JzAsfJz#)&CQIG6IQ>%=+tU(u`2jP_TbkBkLE$4LdyG2_$O}m={ zy$KcX69xidm>sj`{l)ds?>{(TdY7LC=R>xa;>mhFTZ>4%1yQ6b$L3ggxJ=vd+T~iF z8I*yGdEm7z9->kvX546_K+)ZAHx+6Dq-g)>m!%R&Dn+?iqfBO?{~*XZ zH?`CTEt(l22}uI#<$--2A%0D|m$mvL4Z!+r1d;_%5G<+%WJ&NvuCjHUtm$t*^61D2 z%NJ8gxyep6o{&wjTP4Em(f|0gFn`*2N`t1>_`-3Fh8N9nbvvYM3Q)#s1mxjEc7Xe+ zFzF6#hcOI>sNrO+ppUQ!NW`MPRvQ#P;BsHRlct$N3{Lm<(RR_8vcb|iKEhlVJ-ZI? zi`5SP``11s?hBq<)wJlf7AJo-%*Dgi9|yt|QYB}Cu%SPk~-CZk5P@U1$ zUpuo!YGBbYS5hr3_VrLDxU&|esJ6Ih-T_Lx?gENIF9uIWC>Cz3>n8Ctx_(c})m+n& zdcXsUYHrVDr@PH$HA@=s4>qs<5HGi441O~rf28v4Xw-F5?+>%uM&yYyyl$)~1yD8m z&aB?jw-N%x=>%Jaw#-z=fGD9B#pH4NtaQ%oYeddXBF^eTo$x@R zh?SyCy||=ap}H-}kp-2{7`FtpfJK)#WM*vc5;#d<{XQx+T}~GI)zrSva^;g*8Ri;1G z&`_=$QztC0Z=07I%9XWXD;e#2suJJ#Gy3ZiUE-Fzeh@)`D5EP=4aLyT6s;Xj-+4&i zN9&qAVC_Fe-7G}#f`dqr>|;{u>uWmY));4H9p==}pmY&1FTFEuY!yljJfI)obE_Q}1Rf@Y;*gG)%#M)i;z)eOQo3eK@~ht6k4P~Y41sc zthZs{b-7axkkRPIq+Bu~j_ohRZp?dKAzroGrDX>fF$B{hHu0N?nK|gp{*XE zcgfn*^?@a5VD~k82Vu8jwvU1U{8@BVsAo zfJTojg@nqAx86>GD%KiVRS}(mC;?Y z4J&s_j_iVS<}mp;*y2?WDAhEzaW3CIXSoU24Cg`_&SrBu>A~tUK1YQ2RbUl}%1d;U zWu@qHY*M7N)4Fp|GXiABV1n8AG+&d=yyXhyH&&BMY%+Tm;49wA_;_N!OgHUt-L{4k z#JWQ#MP!Qo+ox$VudrK8wb@O2c(P&IY}cG2y>N-g*>vDva(V|Iiw`GGSsz;e(;W-+ zDnCTmSZ)c!DscM@@fI8hb|IBe;G;4apFaeZ41P8<(Ucjp+){>?My_UXX++($QI&;oG4Q zrIGkx@kLGvL5FA%IiBglz{GNcnK{1&oO1Mvh-@vK^XOY7d@m|WAt|gMJPU#7dTW!qCjDic8ACeGOo9@)R<_I{HMUGPmFWCG*)MBEDT;@Uw zV%@9_3r3IF$*}KtA&_T5EpC$T$gTa*#SNZ2nZw1y`zD@Fvn|RmU0SL64V8Gy^t1HL z9^)7?=8SX25p4O?E?pzLYwjz~hDmr-JjWATQRE_q=VWax)hk+aoS*hoh3lWFPDu@| zbTU<(oM?iN$@nksRRq{>0jZ6g3zG4d-1Fp14iWXfiz3eJNDm0k3OE!OZx|EvqAY3& zFB&#lIJqA{Pr53-D3YC^<{7W8Vk9+U=j)W9ZaZXz)Su4xFFKPEey%j^j-J~3rZfCE z3uRDM?7V&c1y&=rJd%gFF+!v`kv%I^{v&UH{0KZ47jv#KbfY8jY6|1yuNPanhe85N z!;O;*;uV%mlp}jkW=}!cV#TN`GMa6ARd`d+?c-yv5@Q7WW{?CLUgRS_{>sq245Q9m!$HxDz7qH|F@nQ~W`Uu_W9U#Ep=zuz=mguzZZEg9zK0Y3 z=Y#c39jdDdMd7wEXMxrD3k(;U4;~HkyuMUKEov=x!u}Rm$6OmcPp29|RCPM6secmm zaY<*bn zITBeCxbIq}m0v%dYcVTU=Y#yq+VYI;+1%Xp-7o3VH?X?6&|k5Yf4{AXo7$H~yON$t zYoCVBKQC#6`d?KuSzRgdhm)1Up@npt>pM&|RnCptPVn1>jn=Hjoo)L1;qWqrs7@XNX&eQt{noc2D1+ zyHl3-m8a;?Z=@x|kYi??&40^YMz5>fRWk1MJ=CVC*mA@ca_h8z>P?R%yAhP5;--l{ zPUb{@8d-X=Z>aabp!sL9UG#WQ&T-uIPLv9z_nhrAKnb>c8H{!%KJ@>gEy|ugwQhcw z4iNd1M-NzN*b4HYiIXGavVW#0E?*3!N6VdG%;@U}u7-|)=j3?ZuqjaY2E}2Ab`@~~ zAIAd3ZVfW)i+3wwlYi{C5Fu?)zoxV`9pre$XsG(TW*HOQk*3NiqR-2#^*ANYZXs3->)ug`sFgBR0l3N`NL&P}rboLI}^I$v~ek0|rLZ6_BOG znBZrG_iB|8A$BiYF&G@h9%!#X!5o?a8RbbMa1`~%f_~5h?1qC*LN;#>9ssrluS*t% zCdTuW?K+l0EFc#`n?%q2scH#LQ@o|HWJDfK`NQUKJf}~52#&@t4Q?9XJ;~O1Mn-qC z-ev&i6Uf(gNnXhan&~GseOE+@u3*HEnXtOIkVD+LyIkiXFAUI+jmn2t!lQG@j39R< z#g5}b14Tugn5xLn~_$NzPW<6797Ft82U6II@ex?oqX3yD)nrcLhnVh_zhPy&EX=G_KME<{_eO%)__Kb(`e zOAVBXN(`^R%2lfR!02-9H)ezdVdbsWvLuiBh(3Sa&!T$F3J`LpSu&E@)V+7YCX5hm zMq2h6x`Da)UG%y_P=&^j?DP8z1pEbc63*&I7fC9@n2%tIV(244I@be;fqFy52#Qj{ ziu-q^XPo8}u%&wwhjbBT8x88A({0?oxm#DOHb zaxl!9=bSW%m6hg7cfA;XC^sen*?bRV*;Sl@PZ-90c|U3*wVU102v^E_j3mR%YH`qO zzBKGBl=p5P{?;t4exUj4(vyX(W(P9n^ffn;~ z$+iH#>E9i7&wNC+Jy8I!cVP+xhbz}!c>sij?^l8yW$ITu zUGu*f`G~<`3ae!6K+nm?`QdUwxH0jfgDqoJ3w^#vSRZlEjF73>W0DZ@Ok*|5o||6H zR-a5=(K1JGPZ;8eOWnN%HI2sf{4KxR@IZu16t6MrH!@`ZTqoyA+|<@U3QX>0P^nnn z9X>mzQ2}xZ$gyX1iOy^jw(RiUCw(&&HrZ13b5kl^hB$t!f3oB-xh!XL_0MAnNGo!{ zXIS^wz@f+~RF8oMAzJQ84!^_Zw zeyYvD1g9A`$%Y%;u!c31yR^$Ks#- zcOm8)X!^RH$qTs7=6NX*rwV4-MVm{2x$eyQ43orr4~=-UpZd50>>5pBu{#a#!;$@7 zT1F`#)QhVvuP}VrQX$roL8Z(#;WNH#*uo%vhT49!VH?h$tcOb6t5*9GR~zI#GFN6E z1W&A$GjQM|LgN>1i`XUH0s9b`sQK`^EI1qSg|)xKZh3`%x>V2jH8oiK&V{=rf5@bi zn4s$Qv3_dp%KpR;wWehljpc-QaNdx-UOsp-O)HzyNUO#r3V(?*Hxn!kLg(i^>MI<- z&7ck5x&#i7H1(S1GO7iksEt+ejU>zip3XKaZjGKBUM*n{T#4c~Z#2j1iCdL0c#fkZ ztZ8*?VEe)E>dxYS^8T86W>Rh_Oi&A_9jh|uI?7kPELIQWFW_1V+s(glG@0H)>S%jTLKmTl*o4XKPdmMuD3L65m z7@hh4O*AYz7H#@+SKD{Hy=OIKEN4{b%+K4&DeDR);VQ9eAGSAS98b;XI!-E42an3E zSH}OypGnIr#af8gl>NCcVwpNJJ?2ugozG2_RZZ>2dyR_vD{uEKUr5k@uB?aq zQPs3$b2gg77$8O?1fJT0C9MqDEt5Vk1;q;CF;&|j|BthJEA@VGmv3 zncK;;8kVaLCzMsql6V21LEzCvgaO0kib68Hfw-a9Zh!_-I;zYUImk9|NkkC?HNYag zBreglT6{PZNZhj$o+kjTE*$_YRaATb>x9vVK|F#Ut-RiK{9(bDjCj=g z6wQB7oppeRa|EYvpsz0#FJ2wB*|57Zoax6^>*nlrLrSI;oW_MZdcaoyw@8ka@&6%` zV`OJy`k$CCCIUu=|6;rT=lXx9b}=%t|M&cVpZ~u|F2)s98O3sqj+D_^Vn|$kY@Xmh zbsR7Z0|c{ko4B}?lvG%7xO0$yvvXQ<}}o zjjM!JJE;g9oRbl_gFPg0iAoEIzqU3Hj<)tT02mlgbAfABdZgp&hcM@M_`uMvbBBG{xqZ~m%)3S2%C4wwTd zgZNNRw@!Ymt8JXduM-H91|zVbkPwiyUk5NLE+L&fH3LjJlxtHE2cKy(5H~=}fvS9X z)|+35K2n2|lM~YE@$>WZF#va`W515|Ncx6mIhbqk_X-BM zKVZ2LxXX`LHEf&16G)eU|9?);a#WDh&+~n_rqFf(d?(-*R2BbAS%meyQ7S*|dceO9 zEP`<0XS;U4Za?tA!C%M!BD)4~bNU(VD5lZOfnEFoR!)>Tw!632{q@sd?1bxssJ|ER zuK`23{AuxFf2nX_l9QG}0`b4T%DC02(aV#vsKcn258T4C`-XUQ8)>FBv2M>H0y;W? zeAmc{j3cRSh7^o)EUgS-a4|M<293|86twCY{m4wpj&b9M+Lnf}yyA_4r2TM^g^ z@X^uJ{1MO*4q<}bH8vc6;cAa=Kt7}(KWTld_x9ExZ$X+ptN{<+tKIKak*wo81{Wpr>83d-*E>a;= zy7D{6Yn!}0IVw8%93Sgbjvp)exJzzipl*M;yE!~P0uR*D?%(wvL*yso%cnngfUP0a z^<%^sp8yQ%;_U>$-+BVy?AHP4JDZpTKTiIp{ltC%<}CRo03;}T#wUR|PW}iA_Rnto zBLbu&DBH#d@gzCKABH_veh+f@&yMt)H{wg-KWEIl#D7kgyU`Fefj*(G>AjMX6yH#9JtsI z`HTNh%+#rKqeI|V#48)KEQ|a*?#Rf54A9wEud2iM|NbE3u_V86)|c3rWk@ZPwRwfIa~m zaVrJGF=q$Vfn^t2*YkDUYvnbS7A8c-&eB%pf!b&{)yF7qA%+c-F4uUxX*!drMAXHo zOvsFo<8?5Hr!Spg9MdOXK~f*|{ch|YaQhPR!#eqKZSmRoNAq75NcMJjHA(RYaHT;d3f2&dFt7R{Cg8{-QDXu(Q zj&i-zh#J1yS?F+Uv-gB+?gD<8`#GnSiunCIq4lR#K;ZLHiR*#O&o~}whuKkK!D*Bv z(9KPS#hAi+tf-XG^bU}3i-hEOPo086_EMc#cQZwnV57?GwwaFWj@SUF z&wDnt-GmM=na`OY!9Y|d3j(>10xM%NPTY7_RyrfHknoxSzd(p?Fx+D!r}2es5;{i|LZfWXdJu;5>}~ z@;Q$2rexW=kPDp)OV9)o^8j?B8!Z0=tWaUF{jWhH~;mNHK~ylj{2wLZOJ0Z$+5Py?;hB|^T`u4 ztNAQ^smD7EpDsaWT%=WECcs@VI-3cml*@k)q>aEhMGsMhUJ=qTrld95+n%_vB-5}q z#~S>-FRwmknw)(0JeEXF7DU2cLIM@2Q!}EL4LBNgMThRA5$+E1*B2Y8qd7dmNKh#Z5(KxgN--T@mVPB2By@O?VR0<7P+Q*4H0|@wIuh$TJ`3huNA5 z*k2Wg4NNVw2xqg&bpN3ej*`!suie{7&h#5W!UR7bhMLn$?{73b_o*$D%?Lvhs&sm) ztg%;Jo%y;A3*iv|7Pj|4`9w>wCvE*>F67%;YO0WFin-FbL4psaoM@@Mxb5^h!iK&0 zEQ()Ku>Iv-YH|7xF}F#4(Pu7k zb|{bGn9aW0>-LUGRg}FzIUd~#BF{4@xe1n{-_J)p{witmQ)p3!Q^vZcw=REnmG+j% zP!0AXn|2;cwYX=9c86ioz7KX_tqLsIc-zP@(foT9d7s5C?Ge4Y`mTRAzBEi%WOyy7xyulT|GCX&KOIao&%^q5{I z@6M1v-*21vmn$&5LtT@+Fa^F^a5?16ccKF9Y%_V`Bwl^$lC1F>^qGYuZ226s<%j>e zhx~KC$4!VEO-Vi!ue~_wVDFrqKXe_^gpm1vqmiWBe z)LQ)D)#Py8usVRa1yTop;8k-M|0oyfW?s%sAUe#0te3@9)D=3_z&>^OSWJ6G^t#ll z6mrLs5e^Ve+}ysynLfH&{;)KaBe8o`Nheo4)UNAN%&dJ6M>r+3Qlzd`9t=c-(D2Xm zGZUquzC7AR`t5B8wMd<^eVUr8l`Yk?mIV=cGaJ(ry>gbebmOeJPh{%WS~DUNx+9sg zaNXNi=pLjHww=*f*JO+nbrV*(0Pkbm=1>o;T>Hs46MBNRX zR;aveqT}Y602pOFJH{ppw>gM@vnXyvtO^ecPKz(?V`S}K+4SJ2C`Fu1y#jgaJKYP6 zU2xKN(eDfl15T(if_mMvGVTkxXDur7x(vLNGyfJ0hM_e}NB|dmZ1kKK=Y}2Xb+&R6 z(O+dpAu5k|T9r(;mG(8Rt4XsQY#m5b|6?{>;I~LhM|VBmhd6SUHKA~F1ds%EP}I*_ zzqak9)=(&GJ)}6Z#_Ma6ihQ_dauJa{9O7CxEpXxNmaedi^EDuHA3npgZ?~Y49-^Yh zCGmb$h)q$2g=b(B#A`>lO+FP*rMe(1;Js|~W6V5i@2Aq#DP0pT_pi*WVr-psI&=$4 zzB*2y72VQaFSVkr|M4h|soqncBlx1oC>pP6k-W9a>YG|NyZblfzx^#&%=Y9`W26K# z{8LBgV?L`lRaI*VCLK9y34=Eg%|+nNuQagcaLN3ASlsLoAc|&S+ftoD>fIiwpV!`{ z&`8AN0*gaAHybm&g~{^YyqIYo7ksl%aB)(-p@f-NXwj{9iigRPLSo$<&U1|uA}f77 z<=^Zk=VR$itjOM%x!l-h+wPiOBHv9GM>fj&f313|HP>onm9K_K?>;58$5n8xo0I1e zc=cnK3JYsv?fUF-WmQm{jm8z_f|T+nuBbv=Xo84Q<2MDN-PHXnkFRG~SX@bV5clWx z@ec}|+Q}^59BE?{xFl7Wb_r)nfU#t5_Ma$9UT<<6CQ`0nbMN{wNL!p|;}e>sgG0X4 zOVzhI)TZ_Rl^6O*fPa7})~6xk8g27Q(3AHvx%NsZ5~-TZ52^QB3Ag)8Z)8nFlel59 z@UC2|FyH@T?3{W;0iZLud)KyY+qUl7wr$(CZQHhO+qT`CHf_?R5B(eG%r`SITEs_l z-CGcUgnAvM8t5na5`NDSyyT~`)ce-{+6XQK>zh*T;Kc&Dfs{H9B zXEJj;Cf@aeuY}L6g69vd?h-*K6>5QoaPv0WJn$Ed*ckg{GL`&nyZ}D2-qrZEVYu z)o|nfQlkE{n)van$1+h-$0u-esU>iY4RoB|oispr(gd+H+$D!9c+4&MJAK6hf zNkS%e+N!lGq04*l8&i6%{w^Mf$&<9jAMar{eOlyIa(r4n?mWbr1+Ui-8su-;Zb9w) zuub91^>UHzfAearF@;$*XQoRnhNFT7ia{zvm$(Jd{OMC4#tM%lGo~$Z>^>W>8@kGG>M}Cn{KlHkPOno|4%W z^`-H|(d8yDOB^$sUJI_+!WR(@rQ54bO^E1*tAgEf@b>96c z2w2Kb%*aF}0GPo!0kVooeBKq)h^QH)8#T;jO;Q^+5)HTo)TG4>naRB@2k*2Z4|6ne zcOnp3&-i+=o!`2LCCXjaCqr%rvB9jUn;-vadv#-B_g=*(#|@%lAZ>{J-6PlWSi8{+jDcHWFPc9PDn~+MS>bfnh5ZTNE+}!E|!5%L?!vS3h$S_wM|2}}BjA?qg_avJ< z?+<_Z0ZaUm-wmtOQLtg1``a_)NK#E?{(6e;n#IWAv>ewGFWlRYU>6w$kcty|ZuS$EcBCHhX@o?ZP9Mi{R8~bDD z6D7I=OZOQOwm7*8 z{8m>l<;k_yFf(yP)n&dB74Edu-Nz?O@l+XvLcK>nMF)SdIhOV`Bm%WEF=XWjSP^jV z1bdB*g)k)PvNK-9m#iOSTaGZhb!To9E(WXVNcR-X-S9Iew~O>~0kG*bZ7hR-Gt!C{ zD1-+@25c;#!EG~vW|(22kHYs)Pnm4`w>3ossmyt5$pn`afF9<*t6Rq`luxi8zzUR$2YgZU}|xVT08A{4RD5C2+~yL zh0gIQ0qq+y@>)T-rm&kbS}_B>DJkP0Q;}*u*c4!fIUb)=!L^EYh+bY_v5$L987%F6 z6r-8wy^iRl8)LeFwG`#}9PN~81LZ{x>Da8YQEXe6M~rgh#(UK!%Gz@LE|1*!ATc7Y zqSEPel5kYykFCti^viIO| z*O&}Wqt^_ODDYsOe-9Iol?9ngZ4Do;(p>*6i;Dh5&9O3of{0nvQaq^fap{@Y@}mB*k5C36pjbe0<|#JBm_Nj(QpyUH;!`^~tXjvK$Oi;n&MZ&DsY8%%lI2Ud zxYt5;lr_H#rO*0yUO$&(29Dk)!kcb*E$#)VIHQGNAqR0o993gPK-p?$5DTdP@7RX# znp0$g9j~(S8UsT^o|SdcnJ)ax`Nil$xSRhpG2(CK+h{Gz_&szoB?>)7MieckJF(k# zqldNYlKPb%{2Im-8%!VV5UAsvT+ns4W51n&Tg_S@l;cN*3DUrFjSm1yx1%De$0U#K z@gSUbRg#HrWGnvCY6|>dq6VF=f>ZQH;t^!sm2nE%%rvTRvfDjVZ*wfR42R@&#cCI$Aa*4HlpGa?R%>NUB3L4M4 zi*`v`#Kw-+l)!1O*K|KjIpu$Brr^u0@OcoBuZ#sYN%6315e-IDDDkfMZ%&(-7Hcdz z+qHSKVKSP{pE}LwYu?M!(Rv2%De;+N5K_DL6OhQonP)J_NO_~x^3XhI4y;|O6;Ze^ zc<$ntn-R4bs)X|w$A>5+m(36oUB#`n+vdfXjF+1u{gHHtKZUqUL#BpwLXd!l@-T|- z*1e;YUA5Z9{j_8f77;!v)wXiV0*GPNjXD;+XpH1+QmLBnb`gs4x}8+i+-td&lF^GD z^+X0&)zjx7DweTpEYk&7HW!S1p6RLV`lH|uqd8s}3tf=(Hej3*S5;?%?@rrld-?Uv z-P^bvxWylicjYxR)@ipJ92r^77`=ce>d(`%;n4G(yN7$+GX1fREU+nLG(o}fpD6Qs zv&>5^Y%2V8gmO>wz@Em$S8ht?qd)eWE$Qms&E+(n8sw-M69FvDq^YB!kK+QYS}v#U zEPeR#6JP=bU8`$5wI;m)L4=^v8q6v+FUA9y)4WgqN+|+D`J}by2zM35n@7~KGB`>s z2;K(lW*MNXk1;4{74Q`xSXSJ16YHmAXLNc-p zs};=e?*9=#>3$*+IFZv84wfPsG6P&g|AJS&Do!4z3r#TX(XzQ|`+*>@5KQ;bwE>_v3w zR#P>$S$>QZ$}JaauOtroM3+fR zrn8>jFUJ7$6QHy0OubUdNwI=cPb zwx@cvu80*(1OBY$@t^dmHjt)9Uca`_UE&E6?}K0+sTnG*F-sLA&Ui58Hl7kdK%gAV z{Tuu37@t#}^#J$G8vrO28 zH9ht#6_u0hy>_2f;%A(b^A}YIHv)J_VPCUFW0*2xPLb{!%P6dZ-v=xE!*xe(dUFCW zn2=7H)N}MR@cqqrJ7I8I{*Dt071L=`NW z84|5F(0Ei-=@Bj9-lxhAulh8LPL=f(`o_U^Z#?Ej#O)bBPwW_lHNy$dAO=H(^V{KN z!8CQ6?8#2HdKuwxIIp~B@PUNdfpzRiy2?;!ioxVa^HKePeFPjaU=+-JLwYV!T$l4nr$^U+i zBf}XP5RI4Ms7Q82ZkbzY`!b+0#K-Slg^n)WjOyGm4+cB`M;F-lg z!$RtCJE3x{=8;QZ<;ZyY4wI&crHh`PwNo568(R*fo?Y`?K&K^;fimA8`j81_2o$Jmmisxirv)!#>j0tMkr z;tD6N>nz#($lIKbsTz-ccMw}_&ugJ(;7ld$pildL^sK@bBwh0s&3sCK$I{@^Vb;A{P(K)sH4$%dI10$ZCD zNL+2P=&uq9XZAGCMtXB_0*b_$$2s>&>Gb>qiur!w+nzxE%yqvs^E~JKlECT7!3fa> ze&@vq{uS`fP{*;wNeGEHDSF*{ri~3D6*k~LQ(b_fnLdmjRQv&t!(D7 zTz~FnD11lw>D|zB#F_FKB8%Wg+TRpl_`rjD?TQ+(mEH5=r(%?U?Pt3bUo4+v^d2WE zc{BqWGrX5!+J;73A&ANp*(1!>zrGbRGrpxcM2EmaxX^4kyi9cJgTueRt?Q4TMY4`6 zP@0VWSNiDUG4(|B8$Vz}pWjuQCfq{dEf80t9Mgn~=+6|(Hl=FcQe>j>wOB|~Y4<_k z%+q747G^>K7rNZ3Xc{)tjs_yxPWLf30$h`)?u$H>eo)6EWx%gGdy<~85e{3%*! z2-Mz~Kb1TN-}JL2dt>vcd>QDdQcr8{D)mNSj+Ps$N;5Y$VH+PQ44{J`vu*a{f;B-zJbW9Yk|vfaav{l+31QO8VpM9VF4@rgT)ni| zX=M%q`<4Y#nYy{{%c&)F)WiiY8M-(W19!({YS;VdZ?y9m=J`YW`z>y{{;+pj4{1H) z2w!@B8s7-`HjLnz?!*F;PK_6ySb2s~px1M0OO{=muAG~R+*ii&WlE-7-Hwm+30D-} z^Bu0Frpw%_b~l*jw|J7aqgY;pi18IP$rY^Z=ff&#fAb{1LI{dCq{F1Wn9bi$A-yVu zdtW^c7EebZf_joDKgh53^R!jxX(KemzR8fm$sl0h)oc{zc8Uj_@NnOMNG&>N ztRgSCseJ>t=BU-Sfnx)a>txS?&;m>A#a@7_)7$LkZk*9z8BoR%Z^k20TItN-Isj68 zLRlQAu;A0yh(;mk8GAr<``9*MWDBibuZ=!q2a8OI2PbVH z3?mr^CUc+i-0W_L)6l>U>82xZJhIFeTY1O<{LW@_sT0pgx{=qraM!#vSdK|$6<=4p z^k)i~abW3qoZ842+VqFqv-2avn~2f9Tv3hDcH71wsjcC#2cIkY*0U2k!K9=GqVpI! z-*4BIzaEUcjY1w&q)IXh=VV`))B48&h9`s1e;^(9+J5 zHC1I>A!tw_9UZ6mqq%6VFEDVXLb9vj?t|wRGyr@8R_5e_KL5IWh`y(0dr9>|13=G${#{41`>@sOr%8u%Y>lfG#Ju9x> zu1mGl5MyXyHsD%qlxenP6-iVX zsG*$4H!pBU!2;0cDGpSDFwwUd9FX&S-k{HQd;Uz2^H}9h$+=oL=_rght+A%|clQq= zMK;aN>5fo`>sqvSKH0JLUL%7tYPA?gn}{nXq0WAcs_?UY0KpNb(KYmSvdx81LJnvy zzQ-p)CuKG@d6NHG7P@Dm-J(nydBl9ELZT2!8B{{r9`}*|F5d^`Ln%+v-huA?LQ0fn z1{wKYey|4qNlW0Vxi6l@t}(HQZVZvRPXG-ZxMOWZ$dUb>qiz4GYtT9!o;)Vv!^KR! zs_%K!`=OP78y0_A!`T58`^_9glwUlZu>YTj|FARmuBU4#l-Ox}@8=1m8+K z08vFnyBy-^>8LyBF#Htkg1I6Aba1eIpHWu?1p1RN1p$-mzrx*308PgLd(IkgXa@z$ zD?&GE9I;0u#gH@7ahm#h{$xrGj<62!(q{geON-fSlG1~3Dj%NjzQ;uZEJcgujf+Xr zKJxh-Rb6?E)=zhr=+daap?o6TkH4OK)9}vVk}Em5Ap(8Ej0iJCJmv4y{#Vzx42d(T zgc`KH?Qs!XMypanYbMzOEgmmVSBgqJVLp3~PE~AV>#gHS5WjI_($I? zm%eZP`H)rVRWMH3!1UN+f8nQ2*X@x`b<2c|GNK9Nh0m(WTQk<#Q z8@i>2qh+4|-w2s{;1=oyiaF*T$SsI|b=1s%y^s>J;)IPU(#%Isqm18LkJxcEpMqos`>-shV^% z`r#I|v*gLiZ`DTWq3v-&eeE+3?$*ukW0?hi4)lV$03Z@&K*N_wmI}F;$N}v9)$1yS z67L@f)>OUpyx5_!PM(yZG22ttZ(ZNiRRa4uX_#D_NF+>CUN401M;A$62|nYRSAoQI zv6FQZ`ffWFI?*!F3L}OM!X?fVv3S5h>*$6%w&b?{@<=4gV6Jv*FZCFlL~Tz6CQDDu zR<(DR$%tGQoE%qjbMt5KGKXxT-SKwLpG7M@zXx(@&e*FBgHKm-4H69mL^P&DO-zwy z>z1}N{$}u`i~7bfUsJD6Q3cZY{l4rf;o>X9#eJSQ%=i8z19xr5zwmlr&2R@va7G*#Tn`L z66^?7#=9OLzw1Y~tdHf2+2EVZ++*f6Q{6@^046{+54e6#Ga0>H#sO zRc&~n$`loNk9x_cOUpspb6rwrq8;kly^6wqW?+wFH6u>BfR%PtvT%^fqQ^tJ&$6KH zcFSA}2q&n=P4xEEHx+7|uln!z&bGPF@G(BTw(>9eY9Y7*JsX z^9ukLmX;M3R>nv}gGQ5${>+wwu^M)4czFeZ@Qv?Dffk>s6)n9feKRt>fe1M73>Fli z9e`g)06!NW49qVvP-u@YB!)Hsz?=zAQ__zSi+>*BkAp}_vV+ruOMP>Tz32EtE|Fh< z00ICq{GQ?aBo6*QfJ1#VeIP*6^p+JrEFA{TR3Ct}7?ft*f5PSPE%yK5awF5%rzayO zM>}Ijr+QRlBS5!}j&%TL{u+EVxHytM*G>QwCa^i(=z4<1KTTFv+P|oloEq)!8SQ=m zbbsoqLBJ0_4)$Q{f!hIe9DtZnk^m}X@W*yX{{ExO0e;#s0peiZ{);Ye2>v>@GSS~Z z+cN^aZwXcds4?yZ19_#@8u)VMWdQt;_eZ}ON8ox^+WB7U?;i<&@`gVtVwibLL zU*1eVpns`BiS~L8%h`MAQGxZ|gzSW1abY7<>Gpn^rhgsYe+^%6$$!xTes4XDw)^*b zo1lA_fAOl*18LSi@xGySx3_iLYOmfJ0ONkGKR};eJ17IGt+#Q0T2=a|uZ+Qn@mKbI z>E>6IS5}~m%1tg!^dH%je^M-eb?ED8fQwGfEIvO40PFs6u>Yjq7*|qX>EgnyqVfI| z|LLZl_AO2FS7X=s*`bxe)$vP@j7(>Hm<-c}hwDRoYY0ifukA&L)-w%c@91s=(Ajtd zQ{(8s|IHzzgY(lqXg#wXg3?R<3VZ{&Qt*ZUh3fuCn*(%C^_~UGT{ZZ^qxos?!+C_4 zKhYid)+>DmvIAaW`p!wxZ2S`Xr(T)-65@|WF1+~mrGCNw3f`bSJ+%Gw({W_$lpUMB zj{=Rs=()b5^=y%KW|kh}v5>*{-F%bvNjCE0r}jSoI`5<2(9+V)PU}M5Ge-aJ_3p63 zk3kvvcQx&q5g=Qr;%)dSk_jA)cW@CfN_Kvp@DNqrCP;>U;&2L58d|?>!lY7#FYVK% zRcV~C@yW@eB(+bFqgP)#`VhV!%3m~rkb6R2@x7EBkn$WI=w7H zw1isw-zXGKySki;sZtHK-(Mv@TAbBtVL<7wDeqPudq+RWaSURX;#i_)PaBH5^2HuiKB)YSX8Lj2F|F2!Tx`w^3lYzagMLBu zw91%KeZZHF*PCzcG8#0d_Qvfs^jh4}D{Cg)Nx-n}>;wQBVVK8ObxLhDFaTv-gh z-sU7Tiu=ICjGFI|&vjRH~I7u=tk6qtkVEeUYn|GSzKM z4wo4xDsh@q2M6ziB#MsZ)n8{%EL=~FQTHMcHC+Qd2Z!@p=_>Jd22vVCsgTr2hvn{k zdHvIX;*!bqvNdxJd(AyyWz=6YNJ~GeUy2ma)MJpIU1VGODDHlkgi#Zz&E|Aiy%oCnrYwa?GRR!cSTh;lHjJ zlnzGNn$ngzU7?*Gu-h*<#P^~Ce4G0MR2QgzVTaE^!KFg`76NAOf^s0+j<0T1#fLfx zQJC57B=YVhhgnPpBjyJ`M{lf*62%hx$2JtI^SZhgUp1bT5;O}V zWb59>#yG`Q1n3r8lVG(nzXm_fiZnqmQLZ|L4u{x65e=|gbwyC2VQ$Jw5=xJh-K#bO zW1d^e?A;`Cl?AIsJFZSQGbVJus>VzxP~q^_on%#j0aYK4v>4Hm!7|PJR-tj`7hm$T zy#Gc#e`}Fi`2~wj7*>{5s8Vq9&H_bNV?|f*N?-~*dNsoyN&NJKebeLx!|(I+p+SZ; z8E`m16d@O;DRW76m~IF_hgcTew-F}c-oK@gH#C+RS7M8SIVPwZh7-%(%u}ptX80-j zEDTPrQh;v?Li{T4v&=Pq?@69+K(pH8=^!gKUgbALumqAiJ)zx#&Oxo4XR;XJvpH;uSzWo#s?L2t4xv_Y{BS}GmT28(P? zTv@gnv`nK(>778}wc2{;m@=&te!lsTWHHa%XAAc!H=$pVcYw*$aur|c{Sbe0 z-LQH3AAbbHZ#l-f5-_Y7a(u=CFhNyvq?$(dWe#ESqW@+M7oq@gu8h0pzE2mRE}SHk z-mgO%Sl^1#ly=&*4u77!mF1Gcm1k`of0}eL)f|r_e7+^!Iaa6xTrg}7t7SZc4%#A~ z%Fr^0=WyRnz%Ynr_r<@*d%*v53nUizpPxaj^?=17R@rwQ-cyl>aIFkcL3e)l1!aYx z>x}M=@_0pb{TSXnUv7A!3C&Ihyd3enZYU;xNU1X$CaI{!7vPi?0c|a{XXV?K+f~NA zHdRGZNo&Jk7F=u2U)0efq1zmw6$W|_&>$$#M#BZ|%6Lb-xF{5r4(>4RY59Ly#sWhi z7?b7?83hb*(pBHfi`30{rofF&)v}ijlw4#rE9FNg?ZE_c#@myOG}x3>?wfujjVjV6 zA1V%FSCT(;C24RO7MT3m3LTFY+>k0MO?{ouvj-_z3!xe|%^YKrFaTZ0vCRW>Krs`C zhE#o4I~pvkm*o6JNfF^-N|nRtJ>_ds@xni&G{1to3%`#zzNUn65{DQRo9j+k4)<{- zAt}5lM)wJ|BD<8sv=|gG;@Se#7>gvi7bz4RGw*oleDe2^>c ze*T6n`&l5-*fo^N1u0VGMEdy~1*DE=a(yJ-tHtnDJ^BdQhCsG==cGr`Fyl8WLNTz5 zA%8hF*e_$D-#Vey4yQTC>H1hy%60%*E-UuTRdYSG<1^tv0_qOayxY_|$U^nXPBnQp zYlU1%zfM)l=6Yt2ql}Y#kfoLBOmXOzt&Sv^%y1@aj|=sIl)_f#7YIasT3w?vn2XFD zxu9$O{I835$*qWyyLNx=U_2S+cGhQVMBhcZ#K`OIJ*;6yhx+OGCU#=QxLFccOn3NI zf>clh14zi^`YaI8$%+W6=)DX$RkD{Y^fx??9;5nlGd8Jej6`$rt3&;8O2%nR)djLzx$axVmC?6n z!!2xaxYztMZ){-TJg%w6c4f}j(ColrIIWEok{66ODor}Nu;|!j@cH>9^5|3ASorb5KDsrS3`671fEno7UM+%;u{zw&p*tDY1bOS^G@t-o)_O-!^@Xh)%oVzAlrQ}isO+o;AsZf$LXXE}oG9#LGn@#)aDLi699;8yBxX3l zF%nP{Z+w7OtWIne1DJSvdukIaL$4#cxGCEdd|%9l!~-l(Ag-qzN7$?4!dMZWmc5cR z4A@)I&-#k)DEqjXLIqE$t&Z%)+tZS&=2Y6tk{b%=YjsePrWkz6oi-ns=N7MdH?!j{ zzR;PI(cVz=hupWy=w;hWm;(3ChK-Ww(RA$i24DiqF@lpw^qIX%go_GXaG)$vn*O9l zQ#xcWNdLg%3Z-`sA=1{!yL*hNiZDb9ytF?PZlSto;oGay+UO6DD)CcBVb= zHo}HFYa@^C+3G%oJj>2RLM!|PthB4AEgWS|EY$+<7?g1(@zd7O;3^i9T>gcRnG@7; zwa|8>bTwuWs@98B2r{k%R6pMr6hB|fZimf#!;0b^3kF}G`!KA&E?!|A~w*c zvqMg%OW;O32nHd%7))z(#4|a(R&XcgLuPOBb462_w~)#VmLQJ+S5Yk%!~0Z5xyb8; zz{K33dE!+`!l|Qm$oQZ5KbR{_nVmrsJ>N_`Ypy2F&XY4!iuJN6YocZ;Uo*E5M2C=Xe>ROig*u) zLrx}Q$`NW=OEpajEB#3BWq(H}3dR^MslT^S zi=lXYLdS-FB+lah4Jrv;Kb_lhN4xK)baNeevj&>PcCl`AFnim5ifQr(U;8C_0D{E4 zDGS+6hG&4P`_)4%Qk!|hcG$rXLgRs5ydg6De>m5@ zrp8~-Tu=LP6T`l^5G-FZD^d6;LOZ}8MP;MNWROe{`YY zUwKH5a3+D5w<&OreSu`fu<&AN``Ru&OdfyE{z-<@q3*xX8Tm)cth#?Eg3~o7u3qj7g&@ZG5x@1Gs;=V`>nUc{A zRevEghni}z{Y254x{z`)OV>NBokv(qGg3Yb4F_Pl@wOv9LOo{f28EMb*Dol$;7eVZ z(9z`_NM-|Xq$e3(M)c|)P%F?``aEwVZ_^h|H6v>lMdw!9)IIPKbbId@Y-+Gs`j+J0 zdSC`f`KH|bo>`O{p`mTX;fE=Ke(?3oQ44N(Puu*1^9gVA%0kG^h1eUF15u>kI2nO3 zDrys`NsDX>RI7Ese%HKFzzS&iP_cU%<9{&Kl1aaTRE%+}VqCTEP4!H*fzrNmPGV3X z&f!E=%fL@|_^rqw&Es{I4rtz>d@wUKK48C*-R6H8z@xOs(%NmXna=(RCcQi%5tdUx zkUR)~e^VYySCR$@#Y|FFZWU;wqD!Gb6Xhp|!La!k}aicB*UV z??{{)0ViLqow3t^N>Jv_j@DqMmXox!a5|wA$tcq&P|N68k9o3I0z0R@qS+M2^pu*v zq}=?OvEjyS$6fyUIQrMqY&q(>y1!)$PCI!Z{8FUZnatTtj3Omt$z-X68lDy?O2}6D z&gb7X=*2}TQ0ljq35-r=`SLR-{KO?YllPE6E;59KHSL?-l0i68A|F_%GnTFR3_u{7 zkou;R)9Zvhvx`(yQzIkF+VdcK(&_U}xwIJtiFV3hN$d7@Rl~hcFJWW#4 z7w~Z$S{%p3c`+`jJN1STLAu1gqVa5gdil1g+o)Xr1WC2A>us_*VduoFk z1t|Aa#6X{TJtYLTqIjs9uJht<(`TfH;CFDZVrtLj|L7RZiHy#sa>>&57$A> zPN`c*)RnxF2{~Tt1FacqHqQWl+py^5zL8FUVZ49u0d1y5#~8#w)x!CNYp8k)H!dLw zQPoRc5EV5WkOH_4FIboVb9!~bnwIpsZIuW>xUz>p5GUn!Ues*n(r&~r3FX{}DfKVM z$9H<43`153HM1*PM(JJ)xV&H^dJXO2rFr#SLFJPx7L`+g$6YD2><91Q+UZY=KqsH{ zC;tn0TF!#UwrfHV1V5*f#Lwn;57FbdJNyp!pcKUw8#ZDTH%V|>)fdIdtFS2@XOCL3 zzGb`y`{CC8n}Lt3jFb>d!y*?VXtBOj2G(E(hGfJ5A>hvA48|wK?hDN&1kV=9V`Xg( zD)AYWN3QCcu9EXi(o5iSD#g`!6d>2A*FmqY*BwD9YBsyi^D-pblHc2%mU`^sxtQ}4 zjL46c=2~{Jj)pSG5@@X{FStNMThngQ;XZY+-=0vc90R+Otn^k7o-~hUvRyY}6t0({@uYO1} z3nK;2{2EEAP(+S`oYi{9Es~NlQ}C&E3Y3&g5D!XQGIIS;s%>*YhQh#4L0|d7a$w!- z!u23y{*&W)!THb->F@|j0_^Hm$*_dhHTw7nRuXyZASmM??Pdg{@iwj=cne}s4EgJt zm`$c0B8a3#-4x2$2&IL~jFh(4A-{ZLHf*GVYLzDK}y14234wU$kE| zlB`RYKV#MXGeF3j_u!tNwpay3eMzP01El2~VR(}=yCb(6Kc2>hZwtSETI*ax%9;NP z?UiqVjmwBD4y3M57|L_NRT#b2r{_h6vb1gGt?w1xc5@oA#$a;qJm`0;Au8DZ&6PcM|X}2_3@D1ERO~gpl(q1J_J|846tK0g0Wt& zym!S`wXDOm;OEc!wT|*VgBCxwwId#3RrZB=KN!6DcR=c$#YGz`$6!zb7i&B`*Ohsb zLp)yf(@U7^CZe3lCe7Es^tixo8DHlO;n3ocaz z#=7g}SEpSzhcuVU@5Px92Db*dnK*G5FRLdiyosbk+s+fF*o^@{ZnT)X_>gu=*g-Vb zOt`nr1TE;drUazz%;~Vkck<8;`%SW4KBzRhB8b1)%n-JweNGTI%Nn@ed~N}3+Y#dIG`4NZBdWf98?+!1x?Ep`h^DzgytRiUF->XNKYX zFHt+E?;MUuwP^OFsMJGFmX>Wp937*BAC%Y>9!j@c?V+x{(X)O!as0q|YO3A@R=hNt zRLg|%i_m(LW?NA|r@tJPw8>nFh{aA;YQ{kxc4(@fgxMUwp`VD@pe50zzng3w;}-c- zo4V|6cGj1mK=KtxQ+OypiXBP}J7SY%Oq7h$^o!4+Q~Qdkei3q~4&Ld{5lztgNZ_r? z+ZkEHHj9osdmoeCV+Top>6lY1%~_a|Seie6*l&kYs95Ol3lAQGsQ~}{ltfrR6_NL| z)%@V`#G6RgLle!yp?&{FfszI7qGAYOol^x?@2U!^?F4cH;-FQMAChd$-{E6*qfl3S zM)5+EYb-ovqVn}k9w+htcU19Z9vSa52B=yt(A0;qqA3!3EC1{YWZMF0T`Ij?O#J}8 zZn>4pWKDllcRUp93`ywDFm9r#jm`d7g0h+_)cEn%HE}41*D;iqwHVCPN1TS}1;M0w z`lsw0Nf?z$Yw;@8oC3uR2&tNi)27Cv532`kK@r<>cFh@`d~9QCKhTy`E0Bo6M;567 zd>`2<7S}b8nxMn2j9lFB0D1sd@JCe~t@tbzJi<%V@TyxW({vE9rGVTLXc>JaSgvde z-@$D!v8JrEEzkVx8dibZRH(qsQhV4dHAgn*oiREVbB=D6mYV`QyD=@ao|AJXc`sAg zL~eEEv53b)(4gA8yrqFq#lY3F=gB6xFK0pR+7Yrr@A$s2btuJSOEt zvN*o&5hnGqn)qB1Qg2T~N?5lRft?w33zJ@Mya2o0IWw}!UN#zjtIb}dSpipbG0lgX zek`rS9l4-ef+nbcU=C%E;%>9V+=kRp}@+A=4K$qAI6BgWEH?7w$cc zcj3QH{TLjR`(WL6QX~!kYF)zI1$LVl3~g)!2Gy|Hsi#WTTfKuJ-|8u=fa^Qu*sFd` zrba74y>Z62kKW>}tKQMQC!olD#s!TDV+4KEGkv6j|mp6CI^ zLZfR;OmD)-0v}GKBFCv@=;sCzF=ku_$L#3zemLz2vIz46=_LA&^`_)1~c7=VP5s-u^&9S7NK zy1=E3s75~)1(Ue_xS=%R=gHK_?&wntv@ZC?x5p&4*7Q|$fUy{Y)n^4*Ey^{9U|Yj* zU=7nv!Cg`Pzl{-1l1z6N|^&SXIL-kZR zx9Rs>5*}uaZm)@2nH@P#TSCG{MrN4`V($Um9${$|lLQhJ(svCarA#r8q*>IowGR@o zOieay#)&6*G7@uFR;w^Y-%dGfhM;Bh@$Ly1k};asR`g3D&(XZGu*nLk91NQJ_2Pdp zb`HUv0F8rm6w^&S3)KJ~2+UES5M-wSq8 zONHLm-%Sya+7>m?#rRcL(e6ekRj3soL{Aq?g4ZZgH3Hm^2u5?o0{(5pz1F!b{9LFX z)y#BB&+G@LSpxT{ICtgb9fM+-HK~v?FBe&E|3Dyz0L#08Q|mav?Zy9^&uX)8--WM6 zv7~m>Z>1Gof_|R3)?7T65S-@LH^V>Bh%l8ptej|gjK9%s-hRXG&|A=jHrSHV0>m{y zPcVehXdEg>J4b4>5rAe1ourqCXRXwKCdvhWOA$dmk6>=SH2)BAm}N(c+-nitu$Z7!{b9HbjK^>nO0 zkC4H>4xNWX%YB^Qg-x4g1>Gh*eKiB6goGqSd2&JS1-AL1dxOLn8b7u&sssKAF4o8& zMgkY}%rDei^kXEgInCM064vSrsUDo_Lh&=UGrR#GVOPlcX7Fc{z_yu-u|)^* zu^Yl2T*LQRZKc*ys8QhH_7^C_J&R}t&wfQ5@yi}+uKAvvo?2?=;Tt8+XfTsAjD4V1 z1_TyYh2h-*-ya`O!0gcYcMD5*9(m64v3{?8$ATzN@B;$wukqsFaQU!1WxY5=n#rLP z+aPml-f@3njWve%G4;TvZ$OfM>s*2VnnZg^~c7;7&U<%EV7pEzgOr$ z2=BX4Kz&B2bL){Y=mv#bU5yahED@^0F3A&V28g57k{nu2UAi_fcrRu)S7Ro&LSa?^ zaggrNw^)h$ut~h2)(-puKR^OxIFpL_sEekkzvJ1ay!kiA5U3CH@3OqB-1Md{wi(i3s#jo#@hbUMLbv|SlHER+;rLX+&m4L?$83+~AZG3GU z{U}yoK0ReVp0qB(d&+PFYA1362A8{2QNqHd+1$(&k(ehS)l=mZXf!cR`x;EY!=wm5 z?Px4^tPn=G?IcCp9rooKx#-KGjt*;r62<3vn?Rz!_8#VOWx>%^7gYgSF|ywQ4Tkd& zsZL1^XZa+2O+Dlw`(L|vLkat2_8;>i`)gBzed>c6&t@?y6F4%woi}q~RK(228E)=9 zN6BzpmFtH# zcv`fM3g;Z^cK9ujZroF>XmlW!D&=lBHq4B4W?iM&)n>qx7rWGC>3-bu za+|Obh-(JQT>toIBnpHqS;a{!O2&yY62p+)O))gNX)p`cWdKx&d4*@XmS)t0)xH8J2(5w{1Ef9#H`GG7;>+Ym(W=PHj|xkmk1*=uoM;3xI_W_9 z6S?yU<-7b^qo%@KQVJvjQ%X1r)(&GxBeFBSCl?OAUfGSitlU5uvzCWSAX1C-nmgj) z;V;jkf)|{P!(nf%XS5w)ivf$N4$yi2*nYmBrWLmrQ##HfnIGDi0{$6chRqa@-zT=a ziti?x2{|DiU(vUgRzqHpvVi@Fw&!(fa4*s-v8u@m+nhA+p(rnv6K^zI?(FpYyhc*3 ztPA=DSXNZTZT=0N-cQ;(qsVbRgz`N1<2f2bnlU2lrK(7jMX=53#N3x}Cf^C@)O;5_ z3wM>3$mIfX2=jXay*kLs(kf59onNCd>`tD*;itz?^Nl+3*a4C}AT}|^xKh}MJ^H)2 z`J!7&qS>JDUE(}g*${5s?Y;%-<-fnuIX*0$awd0pel92x>ze1~f5)Dmt9zH2d6=aV zo^=ulYYoh&cNUo~qxK5sd>5PE^;Ty`}fNJ>}4S)Se)?^Yo zz|%&x1}Hp9dAtN(Pnw0vU)Lo^GotPt4Q-ya#@$(Z^QE_5|M~5nF%aNGT z%}l>fy~SpsCN0;cKc0lFF3f9TYw(zbDkAj7*mR@H2`gSSe3A;jDt_f)yw=vg6b(^; zcL0koP2y~(KQNs`8F+esW#jvrX674>$`B{iR4C9v4s%lvGfAPuJ~0nwwL$|^n?;?; z_aulyyS+u=STbMkoLc0L=fL7spFI2E=J^jSo)V6iH38>QAv>wpcx7*7mSJHmK`LO} z)2c2Dg{DXVo?MqLHEwUWC<{O&rJ0y{qE#__ zg+-(ta@($Ih`$r8a2596Qx27da7?Dzwb6##S4xfF%y=>Qu%D93n(xlrmWCV3l37<5 z;NIVFBGsEZiP~yzin86w|EKuumCH}Vg7|p`iatWKspqPU{#3Bc*XN4LruaadQGBAN` zXSYIKcFGeHo@wbJwCHfkm`^y5j8crI%z1HepsvzkjsXo)t-}r0cwVj>2|CuDiMDJ# zE}H~G>93AqX=@Qi&sQW<*0v6bOwk)(Nr3a`kil_vv%jLpNeXI*H?cNLK+aA!T&llBj6Qm^kzZFX#wl~SrdX*bsByOiN5M{l zD&Q!M>@IfUrhNR?*4O+4iI;WTE*-y2bDnW!H~Xzd#_`x^6LoyIM26q~(Ap10`35{~ z8qp@^KLNvKFh}n`P-wDJC)712m0#;rz5Y(*Q#gWIzQX)Cy)ge($xg`9roV%C^{Q#) z&%WF%L<&)panIV}vk*73nVL%N;{<$Nw;}oiN!{IB_+J=K*8j$Eva&P&hv;M?VrSv} zuM8&#D+|m2K{)>>hTwK^6;vBs_E;7PQeDt9JR+reV%@~~XyBj*VqEw{rFkf&`7MdI zL=>qsA_+-ScqQM3(G#D%ldqqdx85e_R$Tz?HLdSTkAd;B#{i`{Y#T7`prHhxpl?2y zfZ#(!1Q8Mt7|a7`fY7Ur%{vkq+9!MLj2V=hsKD;;2tN&~_Q0A1Dw#Q)2&Tp0K_DwT z1^@it0=EUh`Q>0pP)Hyk!#`}nT~a`3HCx23K(fC6ICv0ZyG_)6y4^a&&j=EWoPGds zhro8A!2SKgZon3>)3kv))EExLY_k}be~uz$V0D2%r2`UJ^y9la)U-H)L~&HGzkgU5 zB%p;kknq}yVQLum)}II;$kPC9bqU`F_EnWhU}7Envy8>po6Wx$6znc-A9@qv%|s z@TT1u)Ms<$n__rzOkw~O#N!NFMf2StDERs_eAzGI52f(ACyXoz^ok913GIaR>gwN{ z2K(A}&mLXbKQjt`4N@r8l3b4+G?%hq><= z3G3UhsK}sxOP|T=yB0~_pBhP&Ul8ba<$(WYQW35xWH4XvhxLco2-ww?JgH2J$4}}z zPDzj88v1q*6$SD(f*%Y73>=&gL_|~+$oD6<$Qb@DX_Vhv)zHns|5g92@cq$!{MwJB z@6BAW9q1>v1YDdE6K?mDVQ$KwL;&er^7bd=8le0Aqw!5U{*!Y0laTtLiJq ze}Cza`i->tywV6A!2_nz)v4vRS7a8GC<4S6SYFc%?)6Q}XGvL2`4^zrFyy4j>%8x$2K@b4 zfWpj3q$i!l&pBn_bDuKErfa4p1W}lgF`CqtQro>(LXfhbG7vMK+}kR$@OP`p8Y@8p zyx-#IRz9>|snmPA&J9JWIH!2+S&t_Rf_-r!U*THBz;L>{$1;Q@mGEF?1DvToNJ3Li z_m@QM^sT)C_1Zl>sY1KDS0{t;b}bGGmKBq=!=#=QEiPY#Ai;~W(8vhgOLdw@Yn3*0 z(-6wN>d?YXos87jz^g6z5B#i@yQ0G<6ga1OxP=b6kg(d`xFx;yk#bR(XiV~nfss#s zQ%Qd1pr$U^jm+=fUsTWnauZ^;MUe%=m+hBqE_rD`EOnSlW|PTK+-o-PvuvyAZb0T+ z=J{BN(ad)88)s{=_A2O{S!Aq-YM$ZMig^LhfZ&3A=eNNE-G{fiAnwS{t_CvJ zDtFf|UjxmdwRQq1s6DN6b5|bMdYbut1!2DMAePG^UHkE@Xh?!^IR>-8J25k(^r`6+gMAbn3X@XgGJ3&YONqO!nyoUzYlCKI2_;Ti0%}#qjbe?-R_EpiWu+ zqbOf=#Ne}yp&AJoAq+lf$PlGI%Q&`_vhB6HgKqGY{7_)BGvtKT;GG&a%ho>b9W*`^ zbx=g4$LT)A^xawo*nRZZL6S&zr*#s4XvD-Uc(n-0Sl|!Do$Iap^n=FB{Yodd7)^cF z&?L3~r6-PdtFyjgJ*44#{Ivk=r+7s~5}KFey5fKKs{9+C2NCt0Zl^Q9PPlQ8#b!>? zf>^Q|24xB8(DB3A5{@&6?U|4r*Ea(HO$li8gl{{h>HgQ*vPi>rw z?rcL)^|EzwEEyS3OQ?IeXf~y7V{-)fJB<8VGC@q0z9lV>>jWcfPlz=BmSWMW;<{naqR76t{;)*MhhK#~rZN zpXq8dxuzI%S?V=P^iEMEWo;&!!kur^Qdu?}QF<;SrjD_au}7THl_$1r1!5Lfp99Vd zwGdiPWN*rIq6%u?iil=fA3^9OF7qrf4$#xeI%iB1)3d1J%HO{lg66_Rcd!9 z^kK5dFVeC;Df+HBBn^B9@BbE0s%*{X4bXjgX&^1-oKkO!mc_AI=WOJzpy@A&Fp0x( zj4?X_cIwd&s2N%g=Dre{}HVfol5Df+9kP z5S&EvxMDqgsU-y5tk)T0*gv(dL+l!SBrq3Ye_$iRa4STBdZT!}lNVsA97967$ zPs2r*&7(E(Bq^(#Adj=2``qQd!k!j^)Oeu4@vNm&(Rx{zU7pMe$rwq#+-D)0=Lojo z-Bm>3`_(6@9cgvbD&w{e6tB6gBn=V&nWeEEoEHVwq=VlBd15{SVk;ntnAy`-eZVBL?H_hmmZ+jK`cOhhg@g*8aNHeNdcy+e4VA26KnX8*mlmO zXi#YEh4}8v@$3ZY0;>uPh4vz*Tr4hAhmxFQ?!P|oWROgEq9=bVhDpgzKV{n@UTkN> zep1aaa3Z$R&a7j$N%UfLZVFKz8sZ`9#<+I{V`(4R2^<@=@0{~>v8jsvy`8+r^IU1S zzU_Ug@|8FHbmBI_$w>t=Y=I^l3Q_0g(^Rdq1g+L0<^HeoI_KZs`-66WL2W{fU9N>mUdGrYOO67tvDm`N2JM+7>8vV8&^Ye3{+a~2fK zH=I`1cMLo}XXEl6(i{jWX&1Wnev8M_Ty=Bd~@$;>^1@*?N4IAiOb zia4y82KAFSgt&#^TM)?Q4VGgwsDO2dI7S&0)6Era?F4BAz%{i6xSDQ-GR4a=HA3AS zz&G^j?M#DMZsf)4y<5%&Y(0fef9>coEb!3cw5nqjNASn~@O{*hU&Xewt6g;Zwht5n z1Q72%q`mE>sML_N1H5ip{;1?#j3u8>;I$j4^yj`~ca#~+!SWL@JdeT>;P#)NwS|Fg zRh}t`#@uwuGX{gs;JUmT+$Oaaxy6bXQCvx{8uaQ42EZ1U)6Ml!*^wuF)Y%RqJnS+4 z2ZtE3{5vWCdpS*)z=dTPDr~eZq(3oPSE+RU#QE}4*qK_ zBJj10ba2P}e7%Br_ILCj-}}9jrx4~n-ts3(A?H@Fu1~rUHOCtA)RfK`Bu~F})--qX z9>(Y(4vugz7i0$CgIx`{_q(_hov@u#=O^dqS(q6c@TDfFobmBcQhdN`+R^@ezyG#M zNgOS9YDTUo%gD7x8rGRzgGZQ*LRF7#F6(sJ)D?6+327XTwcem z!G}4iyLH*)hF*eO*~pZ&w-$-g#+z@mX#o^IrdhJZVedcob3~W(?D)Ul z_?{7w2jlU(7=y;H%(()5PgV|kmH3P16?V)!MVftFI~&-ME%(DjqZxgzFCsQy;dq|u zoq)TSx^GIn@h5^sB+wxOMHb}Cpip`#)t3OdC6sq3J17eDrA4?F1R%#0q)$w#+9Y#t zny0*dU>qgedd58@rom4~a zOLhE8c8pbeWtcJrGR?C0=Bclwix3T-flYq7qU5qB>`sv1(vjXtp`|C)w)1;-J2VJS zw>;b0Uk&oimKdr3Y@hS#m%`^hm+Zbb-ae!3(L|J2+o(Tn(tU`MIRJFKx4lcvs_8qU z%eu~=-FSSbKbd3bO7uTN0rce_%DM*YaH1+O#JH0AOM5|7SBi%rB^A}X+l)&)2ZwkU z^~U3V)$avtp%zds4^VTnzc5W@AuTS_Z`2Ieo_}&ZNar>)K0uz3-R|XIQc{s8%*m%Z z3WKLiMX?(t$*CycX~cEYGd2G^=jiX*V4}6X++#lbh>Ke-p+5!-hioUZaQ>~x40BYp z)I<7U=lT2fyg=rGpeB!t788?$!#%7wX^T8KOE}{QpD0SISI}!_k9X_S{8+*M^W*_} zfOVzEx;Aswp_HpmR2bAy%4LHuuhtRGs)WDxqc=K* zL^gO^`|~cR$O9kyQe#y^>({8ZnVchofYinQaE==;7O`;i3^NTbs+?siC*$>08a^mt zPGnCo!!B(CrUk6O{{d9W68(UNXk5xM?87Hepj#(LB>sjCVF_4df8cc*L4Y&ML`Csu zHCpHdE<*EIG_yUW8YQLL10=U9S~?_AS84VHO`;mOOp(c2QNaQ29=my+ZhC&F>RLqS zjuPo_+tes(FrC<&MMCq13rfBV1p?H;=I)$CQrXkstN07K{m)5PwYWROmsD?-rHlyt zQ}1Rg7-W2cg6fUGW88*iZo%Fn?C3`>Wd5|uB!@DCDV!`u?(;e=Y0ce< zUVE;2&Mo7SS55NN_>#!ZS@g!CK=Jquhil$OZN&N`%6v!f_g(Yz?#hR&=3ch0?-pA; z%hJnjN-q`wh$)jXn~iappmvGL5NXS#h}N>xvf0&k)-RRQE=%P$7$$Obn}<~8dI%le zb<0Zd8_sPL>ZJKZm(U8kg#S%uujR>vfSda4e%`e^1eI7}mH@w8G!O3RyI((l~p1(6g6dKfEJ zk4^?lR?&t#Svxd!(ZX6LuQid7ezD&Tz9p(9J7s@K+x2G#Oz2`l!!h}@R6G7KX^J{t zkHxEv96^m*U%Ec<=7_SHRxIb&e)GNkzHI7f${sy$;zDSdX*rk4`mGB2t8EYz%>nU| zx(9Rg>Xz-6K$Z*;*@@6?`~>t=QBB5CGcxDa^ck`=E{}+q#Q}BF1kiK@I*Uw=PtvV@ zV%(IKRe6o!|LeAu@Nw^U5&?Msw*!P84;9u=%GkI>94EXXLX+bB^(wxWab%ECs*hGD zYY;ljK)EG}jQ(r<=9;QXZrYgs^e_ng>5hw>+=XQhacrH^53OW8lF;UEk0NruEeg>N zVL?*TQ(P(3p$=+`_M0nL8>yAl>+Dd++9@9o9N}#wJaC{^b3v zKLCfSCm_ampeetW8yTe75IdU+H)$Q3N5tmWHMrNn(qx*sR7MzYEuod)-iucTw*Myf zJti^l7^@C8O~ny4l%cYl0$PdkxED%zL!=2BmXU7 z5~fKU+-I)Htv0UKUS^aRkNLFG66+?TjJh^x=gNB4t(CNYHJo_S{wispfx!fw)jhq= zH_8V+-A6;xbIkRoyXL)VkxxYrMs&zOo~8IIMbr*8;;}D)y=^Bj+s9^TwfGs7o}@=( z623o%rDs17EK}5su(34>oL>9KX)(44Jgmcd`bkepqw>3*-e9ABvUF20n{Ctiux&gU?u2WhL0;Q9eAKw92cjxci z(PUi+)>y|0A#9L2f7rEaHcV4DgyKf%`6yoQ3=%I%&bp+kWW|}R1}qny?4+AbAJ$k7 zRD&?upb|o!nyy#-3zW^8r$E@MjJL!yL&wpA1QPP{{$#7HghUUOTqS-<;Q*5rVe-OL z4vf`@Hs<}}j4de$+3KYeb={GBJ}A9wdWV#ureGn#Z=5xj8Kbi5Fxw+3ltYtli+EZ4 zbW}l^oc%Mw%m0>3REd=91x}L@m%JpYzA|9ez<14wwq@)4?vVTrp2>W(pFW7nS5#)w zAcB>*Sk8%4H3L}^xq`vdyu7ohB`i%&qQTHCn(DGF#MAjpoHW@#Ve&j`0J%t*4&%a@ z|1xhY64d%K`JIDYSEJYt@=AdD^Gq%d*-IHlm^+{<;mL%U;z8J>(qR`mw}BHn zVr!|0c|u_yT(X+q5nj-nb*uF0eClUe*8!ysQvk?-IZ{mm09(Fmv>weM!d)bfK&O|S zWc%9rh;k?IQ)Bmw+D*7?@>mbu+r-3)TNf)!(igGUtHfEUCfO*uu{x$P{r15 z0(kniVbkax`ua)}YKt`CAESKRO-SpGv4Bp_*kW!y0+Mbev$^*|q0h5LIQH(^SZ~GF zS`mM=r=$Kp!L$1a>P4HJe;82j>$Ir6Zsm!p7*}7^QLgaji&<}&T3TO76C(2*)^#1q zC1i7V$QW?-a+K#eyb?c9U$@KMY&I)xnoJg2utk{eCeN}~Qt2t3Og5|EMzj@gZ^z)a zL}3{>ns5tP+cAZuED`8}B#oD!20Ya>f?Ye>!nB`0>C;X3(3%!tRJsq!D}qpl>)bw0 zs**1=Jt zT7ccDp+KzNF~9@O}oZ1D8Mh;zq0BZWiK1ZSyW4U3jFpy7AApp zEUQ(NcB_A$I@9Ea%<9I3aK(?rGD*}OWjC`J_NViARj9sW7`W?5`O|Ug;&VA z&5|v9!~@m7j6d5dEMw2V_o+|Ivq3X)8t>k>vdSfb3R~L#Gu2o)&bwvpfqF4+sDa*H z~ z`FeO#cN*g1ZM0>E(hZYg3RPHyu4Mb%P1-vE%#pLbFO#(bNIhHc;xDS`j=rN`pTyXK zdb;gH*D!yEx^DhHr;Z*vB5Jf`^&e8)P8cgP~6Z!U@ty;@&t z73vd-_RUqFqx)^Pela^*q^^_zf7*;4rB=7W~Qz=V{Z)hnl7@tv&~U+839y zQknVv*z@;z?HvSvW1#!oTmPQ``vx5PdM)r2mG`Z`v^Tw10J-~*^{?#4T-r;Nm`#Dw#A^9Bu)xuij?`dv7RGSCq!y4p0!$RU0nV{&jYDJM)k)jVrwL7bhsSP7?I zPiNksk?+$SQ?Xi$sG^yb;O8pCM_R#4iXH(MOq9V~*Q@Xou&sr%5@kMd;Vlizua($N z@iNvVw^Dw=m!d&;Jm^IlsDn&SIy|O$Z9^65&@X%sV}6${-Q0iY3T!w8IGu72WoD4W zkj*OjsKie-i%guGZ>kZ|d~`0tWq4C*C8l8O-+U7M+MUR^L|HUF1f}19eiXxShX^yh zekPW@HHg7a53mTBSG3g7h6jQt|9$1C%_F^D#vmfrAa^f)F^+HePCrs8ltvJVY{TYK zKUlbYo<2zi#%+V-SroOU4hBt$-U6RiOgRl7hg$PRAY4teYL|?wOE=u_T4K4_KxFKF z!Xi}WV1GWuGj#F@npW0RPFuc7S!MpcE1929=OV4#^hCwYok_;Kz&p&VJ1W!3l$7Q0 z^VR=zA{fXxur`atS7uvb3@HYy@Qng)xy}~ZWR|G ztT@Kn0*-k0aa<)V+=bzg;pNW6lKmL^v)|WP{81=~lo}MV(Mohl>1JGLf7DU@eiOVQ=*WUTIC!DPJ#4OEy`Mbl%mU(>tPH1i z8(+$0=}mH8RT*O51XRCFPPBw96w^LA_7_kOgkX0zB>D%zW{Q|aJRq|EFEyg`T zy>qxM&4^_-PMyfHG|tE36|l#_{LBCxe{Hh!9bR2~HF3~HmUx%V-MWn&%1PKi+hMiZ zyP;45T&4Z}92>U3yG39Cu30eD0`Fr2{IaC}iZx3eU+c5KeFq8{pCd3R-$^bq2O%Ab zuXny`^=a^)lcjS>tAU0))eM*OWoX@w)&@#sq?HHIm6{e)nVR+ zpAKqFaipaK0&h6Z#vwE!Mi}RO=ns2Db)p9cw%Q$^8_qaN{qnKr4y@g=zSZs?DNdV1 z+cQh{bNGq?8cuaxD0=uTV;5US8BFo7YibPj56<0ci58gjN~l zK)*g2CL}YJobk0`zcS8aRqgEKi?*6&2FHgTSm?N#T14W5Fo*!pwPwf|k1JU-y~7v~ za<|#%iq}1s!DOaxvKHW^M)2J+>(*~6X07GK7~F6AFB+{2~Yn(b*xH{ zMoe+92*n|%0-m+fl=o)w>xL%v!iG^#;XKW{FjUtUcfnHmjrtb8cuoLaCTGBSP0CBH zXXpI8?UIT}_SK>08Gw7$q?~x{eT0Sk0}nE&;nQoc2jXWYwXAN)C!DJjfeR99#sxtx%>_TCE%p~7t6L-Ef5AG~{~Ol9{{KLZf8}Q;CKl%Z zP#*uEn~Ry5*0IWoM0p_tP*>SjgDHS&`P_)fU;LB_v zHv(WcJzzFAAV^%?AHVQedJrILX7_kq@k_}RUd!jKGJfrU8`u;4#m@-UvnxKKlq{wYg?gF(ZS z{VBt9!&<=s(7V8at3WLNwE~##`Q*EC3BWXF2z>x?W5H5ji#30pA14bgEkT}19e;oI zAl@+$C^sK?M^J4LU7)%p;LLj|AXQ4DSBA!UeK3l?oiI=XbHg9|PC(I*1Q^H<_J8bL z&maLcz-mNZL;|W}5#amKh9KzyzkY}^*SffRN3uGy0xqW}^`ZS*?I7Zj)gjY+^M@}wyc)iJI@}Dz5$k9C z;?bdOET2ZPQtjlb*A3#Ea252O(&nlL=Ump4^%ts;#YntxOs1Z-~N=GgZyaen&y*_P3`@79ub?>Z4e=}`l_-p zb7R8duIRhPSHX>;T2w#;YOH>iWCAYN{Vub3q2N@UUBJKY2D-%>8omg3E)q3YdwNM~ z>*hZfz`eH$erjmpTOFD|jn_EZJ%G&U>CN=U>fFB~+kyEm>$EMQA3v2Rfz&YSNe@}U zZn=sG`^M+M-{PW^oO2sUOHb8 ze(HbHLzeFKb1T=IrS610Nr(~@A|i_T~qum?fMC6NmCb~PlyLg5bv1Y zwof}}dS0%tkiFMX7XTyuw#217{o5AiGQY?kg1Ch$4g4Qgm=9}i`k%nM7Tq7%4t?tm z5PSiQ*yq?E`uj}CdxlrfM!SELf&@PTu`3X~Kj8YfkMF48GgI2_9qrwGL4LKTRdnA$ zKidpa)aOQ})}GC!AJJ2v0clDk7)gLHmyZ0t#@57#lr7h2f&v2%}I za7O}f)=OZrNH9>E@4GoW&LX>{q)Zw@Ot;sR7|VnI74J}Qk~fO$Z#nHAr{=`_Khek5EYBlwr3;p!UY9= z;T&E>-1#u`f64ETu(=6Rk04F=C=mGTTW1^C5DbPJ2?SILP@mnkx6Qex8}%QbP7y>i z$9&H-M6Y4w>sW+c)eBvif|j~}Mszd;;%$4BF^?fR?e#Dph>K;Za8~jG$tFS%OIrK zB0w_dO#YTCTp&gwwDFn9D$^vMAQ}JKHb&u$dyW*ie>687i3qReAcO>Z#@2bWj-;O>^$6psg`db*2k>2D@Rw(K35rh`)*s)vlH_+A`{zLCr7ZXP5) z*^m$>OAfJQttMxKs*Vm0{zCdyiT%195?S;O1H*L)Z^m*EGN-70Bk$flKU+Cd1^Mq8 zVTNl!tbG0S)%$y}Nc%#O!@uM~yY{!#tH3qB;5=;ivzXwmr^0b+3^${T^bZ%(hmijiKAA zxre*sNSp*RwsPVEe>IxdFh&GM8pBpssz6AmlnNcMX1p zm7wzw&CKF*QBuEBcRBlPeeqFX zDz4cR_iy)bO5Tjsi(cjSmKx4eNpf=S?QPPk+?DOr#z+5iP}1_*0B^9gZeNZ5U6=R; zIjM%z`cBW6C&oThiXJ{$yoK6S@G-iGUARQKe4qPfC78pP?ve)=n_BEioIU4a0RHBE z%LKJP)~7O>VB|O4(?x2%gm~X}u<#$E$3XW~n3sbxb`6n^^3xSS>REDlUH zU~p_6%|jMA92Wj5^;Zm=D5f9}B;&vMat_K?ISHY~OBv*U=frdX)XVY!2_Gu%I#xP( zl;zza!l9lvw1QcEoEW}cd$sRky^!CTeU;3{nmym3IF=<*cbZ1#*br@>a%u5w8sC>> z78xSn;w$C)*0Ha@VV9W=Kp%6U5d!WjPTg8rn z_@buaHHxL}NnE;bQGk)fd}T1b*opHl7f8h!Gh0wOCi>)7E>C+$t+#y}Fa#S(L3^bV zU+wtdyS0S+O@a-=6nDed^$#N>U(sKcX1_XgFB818 z5p__jbctnfXVlhY=W8O30 zApnC%KYo&uaTfdujUrHU{*$$AjEc~_<7wxoZ#MnYw6~HIDV8uXYDR{`CR*5%WjvKBX!u?i{@6Hko!h4DSbdBYAf?bels!<9rCNH>xpIs zpQqfdvycosK8)_ysQd$u5H)cRR&-hnzB3wfk4WvTGsyn7<+`g>c!F0J z+sRwLvzqY=X8u;DU^OT9sBWKSQBbxmM_1m1vU5ZP4rK04B=(NscK%OUfngU-%ab+z zXqR_VP)>bY7#Z%s0D#f4Xj_NusH05A556nh(@T-5y_03Yy=v;Kcg_UHhp@ys(C`K& zoapk_`Rm&}zHdSq^uuLQ`@s{7rNaB0(i=dGz3_W=?U|_+H!A1-mqY7_lSA0&6J;3= zLwxCJJ$oDT?^>;e`L|E-KhTkX1eN8LXZIrXW@J$ugL#}5oU(K9O%7TXaZh6v`P*o# zV9R4#;M}nY+@n1Y_1T;B+N0LkpyGO~GpNYJLyou5yj-ee*oeFzlQdfwQAMmi-Op;6g%5=;Yax?Gxvwox>PHtw?2_zu1lZOnxsYj%smwGBZj<)5L-Z~_Y?dsx@ zM{|lVhbwT!mE)roD;>CZuCCpgsfKt|ok*ZPiGTh*-BhDemGnN9gP^qi5BU@Arcg9vpo;Xcb zWdlZ=INqPxZ%8}8U`-i|bhiH5fF}BmtfiC}Xe8M*=Ax*;l1>`w==d=*&WDmrRA0#4 zZd1kyFL4majjyB_S>M?25^hA4jNWY`_PxZ{TYUu;LaWEHO^L!py5L+rOPa8dY zeyvinU&Yu5h%MkxCZRlPC+mLlk>a^aI%esf^TByu(=qrW_kud|@s0YxJr``~JVx#Z z+}_env1G*Z;AHK`+TU+^DLlj_Ct0U99< zWgTrxupF5$U3nUQ@|w86ZqU#k8ttYGP)m>ewG>@DrKz-?fmdtZa~m?_`k@n@;{|MM zy9WRl8R`d?d(oeGHjhd2ENYs@&oTEhvpaipT!1&M46bE_;O zFOIv&j%@R0(#sGT`jt?X4Z^U<%A#!I3*(|CF9h7|cy@!~6D%)bW{PF@zlA z*}kj7pKwY7lnr>ec}r^82unFIpXm2FtFjSuQH^;j60JrrMGPjm*BbC)( zRl9JCMkyT89FCsfSd8p`Diy^Qfg@Ywq@Pj5-Eo0dv4}XQ+#LKU?6$fY{sx8j#%lPb zz#mqc{!~@JYk>Gz?fxoge>U*qY%57jg8i6JjmIe;y5__Mj%NVGI(mp_evczi?pO)> z%+$c-9Us%iAn*tvtvgD zDC2Z6l2zSu6ak^qsf@?Fo@!n*M1Rg7Bx&Gj@rDn=gKi|Umd#bh+z3~h*ZawA73Rnb zY3@LWLFYu)s5(8%7tsE<11tbID2f+UuOadMtSnXngxFRw7OmzIZ#i z0++9{U24{f@66X|5KX>?P8pn*%(RfjT!N}{p9J={Ku3++)G8KFK9E@RoCson)NS#T z614FEEiI+|L6ob<%$y+yl9N`@6g%+1(l<8WusiBRBm^0rD?#@LE zH;}?$#~5HAUZm~R7z-8UM2IEw~qm&S<4tdU@KO3^n@N0Shh6UD;6SF7Ys_F(Kma0amzSLpOiMKq~+SL z;tv3c3_A`keBi>bu@pnoP0$;c%-4YydA~*z5q@1?4(_fKCUiy3$9Oi0nl|$oh+DC8 z(eJa7**(;t?pWa)xCvp;q+(SPZt@U)R&;q3*@Fo~MerqYA@+YU zb`H(La6xyywtb&#+qP}nwr$(CZQHhO+jibc>KmjggADr@oUT55tsP>fQ&4D(pXCw2 zjGtYP0t<@fA|GAi&ppVqbOb5k1N5rULrkY8Pcq{}G`0mXDZjhQMh2;BOL}j(Q zW?Rxjj%(hS*XFyYNPkrKqPuWoKZ6;G*OXl8FSeM}H73c@tSuSUVgs$e|EygK$hWWo zoWE%gjG_X4JB7n+52JS6k;C6!`MXVcv}*V%wXFpiEsU)5Er$i`^x|M0#Ij=V>TP%) zcW@F^POye5eLlN44BmB^YETR}i1pU4OdPorKg-41gO72vD=J$O0}T3*?6I(?F5DGr zL^fHbk#>`|w^cV^db^Kc5MuQ{cJ3)If2=*a%k3ZY`HpeY!Sft*yxovir3u;NrZW>f2m2Q%vY zMCIUG193@ithiSmPl3K-p5#I=6=K(?16G6hBa8kb_~OY;5C4kYwm7QxiBuF-;hRJi zidfk*J^cjS-rP37K1?2`wvz_HQ8M2`_xQ6)X$z^W*|%*S?8BJ8kSDLH$TKz9 z^Pots5@&>eAs-Za;{TtC`O2=LAj!K(QWcO*Hayo;`d2ZA49+)>9+7hXfh82(KG7;o zKL&Oej4KI;c+ihhpfzEiqk^^7W?PH+;hUSpkoKQ4iQd1ee}gCCpI44TDh2n?q;H*{ z9%Pdw4xW-wtlId^d2!RV4;ezt(fm}9x9JzUJbHd-G2TZ*yJMD+7d-AEteRg#2NOb+d_6pSh8nft#4h#A# z598#2dOEzYB|3|H$0GwHQo==${qf8R>vQ!iamjD(n~J^^7UYw~hU*ebL8t6azlgr) zXY^P(7B(9-I8qIHI~eIPjL>O^bb@N5dVeCNO~zKvbNYbh;}D;Huf7)Kke*r$(zY|B zybB|za$B0ze3DUFA;eIyF7`Z;j>LDKa zrfg33I73C6u!jnCP9R$dq?u6|3jS5FTZ<^XRigg#kX){_}0{}kS4SZ{fY4d{N0=^H)lw401k8nSzhxDAdTqUQQ?!p8kH-8N})Zmq}N1`|H!k} z9~VO63Y%;b-p3)nH_mxcB4?&+XPODYifq%7aM&a$ZN8Lpd zjR2huW`88du8D!n;bTjp7u&sCKGLEh(8I{GXHV!8aMct8!F#m4b35N3=7rGVojNPb z2Hzlv$83DhU{kx&I2dxP1KIw|ZwH?ii;>8S1_zni&x2O8dzWUOhcY=S8;#jgJl>2glOFS4Z)|9sz&NzxgMrYJ{WIj#4NXniPpIN+ zzZCA_@^-qj@H3LYVq7HLHntswmD4Dxp#PeI%$*V10K9VbnZGs zy?&43jVs$3i=hZNL`*JI3a5t%yR=!X!q)qC{!~aOHk`F|u~T;D2@C4Y_Hthm<8fSi$^7vrphYQo8|t0)ub{uyVT;|B3E^Y?9f zfgBw{LsTeF6UE#dJt{3Q4$8x*q;CoRs4UZBTOlIW6*k`(tqYUn za!FPKE3?PB^Cz!!p0hs+BVwLhPlk|h&F30}k5~}3Ewy|l93xYz4lm|ZsbyYv*1Jfe+^<9(vXtihZGkc03SjV? znGRp>1pBenT*xm)zPmokyc9}utS!(31kF^_`e>5QM!|?|jtod%828tz)2ks>AgD!+ zjKPPLomq{JxYcZwPH#CtTTvjn=1oaar;wmJJkOlG8x`Op!>z|W+3S*Wi(WelT+b+O z(TY!O)_^9PxKg~pC<+6F$oH&w1Rixo{rMV&aVsWoG+l>UpG?7ytfipl~zbgBxQ z8GPU@(RGOL^|K`kI6JA59oR@$7H3UNe(E&njupuX)WXSSQg#?TW9_sls+}QxoS8g& zA_!JM>V(Mc=etNpL>25+D7$##%>W68pqVamQpAep+L0~k6Mh&p-A>3)f*%gWM|TO0 z*>MqIC~YvnTGzI%(hM{!+Uf5aq@Lu8NJkY8mJ}~sMoaJ1yF=V263>m)3E9pK;-I49 z58eQy*NVvV#BoeC6=IF2OTVU-wZT7)M6$E>@FFKF8Xc{B8$gup9IFkY%$8`V*4Lb| zXRVz>b!`zjaUoVF_X=F7duy6Z@_9BxUW|vmiEdekhOulJ3nv`Vyn|JZxJxq0(GhhS zti8X4V*^KJ1;4%iu?q=O$)3AwC0U1-t??2FM+Hj{K5b04V3`^}o&LZSVpqSBF@(l} zIV6Lmp8CJ~Vah%oTW+jVE~%xDqN)@R z%N?|&U$Mp9E2Gz8p5>^+#eqJWOdQt|6Ahck871f6Z~2;~uQVO53$U`8+70Hc?8CL{ zI%3lt)n<9{l4EHCf|o>mabjh2mcC?Dcc?4hNUEZAn3BC;xzK*dHgRugkx>dSJy z9+lES*g%jO=Y#(HsTIpZ?nj*tPt9lClFBH~w-8c-@=rf(m=JTA3q(Q*hgR zO9mOdkBPMplnILNkS#Kf6WS4!12T5aCpNUjj8RwpOG)dp5e z<&<jyV6q6E>UAt48rR34Hv$FiCw*fXs#=m@o zeUfwZ%|jFOB+yX)Cp=@$2;Z9dqhTJaARGi~1;^GnjOfn4c)tU7@;HC)!BG0v+N`#5 z4IwB_mt6OZUD$~&&-#7pB%NBM_edxLiey5LX5nDNILJNZcXGxhK zxtOlCmv0J+_*F`#4ehcN7UyIYgFy`YY~y7>>LwGtnCSnn176a*>jsyp?~9TWcwnU| zd$^IlJv2739pb_ih%gNklt2`0~c^v-bDjHqK_CHz=teepDR$T&Z z6@t{PgoatyNYf4W11el9N`k)Xw>f#=@EdModjW;{YevJwjZv%8uclFm#&$`NbAyAs zBdBM zaYGGW7R=|3^Q}}>C>7gf>89fe4%^ud&Gjg>ZW(gdj#gOcOn4%zDvL_0+Z_5ZgbhoN z*zw5fT-h~l#Xm^+2FL0GZGoMj8zWqPn3g}HPX_nr!Zhk=v*i6`3e{8$+;pi8$c)i< zG~PHf@GzG!tIX*IQg)FU{*|ANuHFoDpF6bcxiXD~``XQ$&t^cWbd_!*zgGVIEX42+hwCp;&}?L9$UnvJAFX{8 zwLLHHoe0txLf8{u7L~UbKfFaN=t;U{XPN_+mpp(9si6#m$O#`&y~eXLI@}GpEKkC$ zI}zl=c#S1&`KB=Ee7-f-Hq|hz*viFPe~R_B36lD>+t9tQ@NL-%Q+1$U=QVfSYJY(6KeKAF)qtL@s>OGAUve)m_HepxPja zz~my}J!a>2vC+N9M4nIHEH06B@Q)11=}m99^4FMs+;4xg>e2&s1^X$h5jqq=7R|o} zX;hYwcWN&50RC~aQDJS4+vLJjYQM$Tq<63ef6y2rUeJfF3S7J_>(yfCZAa7 zb%>q?qv{}^n#koR>SH=E52UHt_bOW7UNHP;-MR>+;*N$v_;)-7Z#M~?PQ`S1+fW-L zq|VOlUtV$TA#@hG-ELku>q#liz4uLiit&v+NS`#L{B{9>IG*pr|5BdEYJS``d>ic2 z;nI^48WBfj!N;7mF-y^k)oU@n$z-iOHzODZ`5oMJZ(zZVUD6r$q`yu!Zv_dJLIX_L zhGu-ITZ_|1();T@Bk=9gD)vItUC3w5msAmWai&RPB-vdNAQJ)0n|k7;cwJBPC(|41 zdPuBS(*jj~*`41#&Hh&Zqr|<3X?;gG6US$J^`D^GyO=gGkdz359b02h&o05j&fY12J;5TR3 zUkb_i8~zjovRB|5aSK{N&Xfa0?58Tw*J4X^4XtOsHgo_%JX~Fxte+=vglRUNf645y zj0z6!?StcG_@UJ6T-wEz81mbk)NurW8mUEFLi_S$w1e@svq`lahZ+`w(RaFo=~Q4i zTg0Ba!-+NH-nNi?9DRwMRk$&5G@0eG-vi|&uTkm8THC0Psbh6vH%!)$)bF9358-20 zh#!YGS+CIAop4=J^?>ff2ie9ORB(}&@O4~SE*1<6m&v92_&eJun*q46cB$1UOO#4n zYY2E5PX^++2BIG3V1ES_A9Z*t9z?*;jDpcNos6_P@w(dDPp9(aZwEb3!X{8g4P)VJ z()enRkB{T}*W3G1V+`mG&7|3)up9Nmv>yLqbq(wD?iqzmH~Su?WnXn+O5g9^_|B6e z6z6!rkref4v`pgEoC`B8%`xIh;`}HnxAW2qbgxE#V-!;SC2UPM9reL8`@Y9x{C#cQe_T zX2%7>2f*7yULkfLl@9+V+Tl0pX4hWY>&wChh^e)W4&RjVd#8d`gF@E7M`02g;L1%2~F6T;MM7)qBnUR&RTs_~L-oc?F`U+Y6 z%&%7h=KJ+$1}9ELGkdmo$BfxFvo_<@R1@$R?wD`)?s}XgZKjz0CR=4HM2S<7)ii8R z)3i<=MW9Qe_jU2zsV-qo6rwaaXX829j22an+=>aBb;`6fd3$L_s^-eH@cJ2YP9O+0 zvpe?`VD$`uV4g*(F!DTMj_j*=!tr~R5lw98M%k+jK%fgyVy(1%>KfZZBMGeh}*Mz06S8Wl^-ap z^k(glqoF=ofhccw)#@Y7**N?2g5xvR{)_NaW<-t{vm5kUSi+1%A{~fy`?AhSjaLZW zq0C`B6ACc&=S0pR4iqqj(c#l6t3{MztDi{Dj3>*ppW@~ZEC$MZ$RD+@BV4yW>N(|_ z*+Fh0)f2?si8FRrr%opuSQFh!Cdq#q`UvNzL42$jWE!Hr4|TfgeVrt~pOl3}NIJ(| zv{C&f2PkC%2XF}a*?`=#G%CW2*yyPSWW{EtIV90(YOE=@P(Cz`RJwv`PA@+MMaAi* z*)I*-f(;{eB@H6qN6M8*-hY|thpHT?>t6>IQ=BLzIgm6^-^@?qf(cB$bQJOJq_En_ zqgm&crjpzI_!-XMSp+qcYr45Vz4TeIxj5o0#3=h_RzyYA>EODQbm&JSn%NS%?l$7t zz|ob$W@O2+W{hS}^!cWFjrx?M@mg2j%kPNOsF&8dwK}Bi@r}6^7-J5D*XXwKXzI22 zm~@t5N|5?JhTx=hR0fG?3-X4BnP7&g88wfwh93=8tF7ZIkzzgp^|I0hHAznqbS_P6 zYcU-DvtB&Ghu@4-P*|(iO;`wVk^&S6Ijzj2BOF_Vf)z1pml0D?3yMb)c%1$<2NA1wX&S;Jc4GWg7A=PcF zGm}XT6)?))Zx|=ajm0Oys(UMX?z9eCfvGVO`ay}nYB&42K$kwUO^w}r?@pEQW=00*$)|{e z?|m05afTG274YKdsR=Haar(=(3|6SK*T5WFqHF#woejwfIm67{*)fj5;s}`)dKi&f zgy>GrZeW#Ve?eMFO6PVzo&r~8bT4J1hPvc8(W}?$D3xBgUzi>@c6(F{c<Hv$r8>2$Q-hUp`mut^1w#nAVM$OSVO0p8~q6 zjvoPf$Ou!my}WmQqeI65gG$FESB+NlL9f7=7!zww%Z!&9x@9NO!$zCEe=-LWdv9@N z!o7Zji$dE&qh&RL5`C^Ca9K#Jb9&vfWdRs+cdg74)yJvZNO5|}EAu(`e1dbYo>Nl#Hn=FjT=UJ!nfuCtg{+ z(~i2B{pvG1f_HP^Wv{w$z%nEUP7Pt}XW%B4BpiFGFA+IwY@0W0n&ew?1=0OW)?Z!a zG)Q`~?s&U(Awo-Ddatdc$t9V-u=ce%@7|1Uz#-~(^*Imfsq&w?((Wmx+rxWe&5K@m zGTS;gLV0Nj3ZR6G)ckt{%PLsRYaAaMo0y#ia*XuAol-BXvARSB-Tgjq`5FQzZ4QcQ zwG0`xG3E%`mKM98{(x~i@_)25=`D^X*$qtw?+Mf<9MzJ6k*7ZM2Q<9Xx+0>$Msr&h zl*wfZYN&yiN&n7=Hq5O^xTYhA@?CPl?l8)7bJg>;oF>nly7hn~DN=Y}q7$>s2KD>W zp^1g84hfUw-hE3$#B8>|Vnon$7NVF5#pCl=KlCmcbs(V+T%y&}+Z5wxL~M3t$f z%N6L}B@BWwDA4iJUc|j|xt|BG+jJaa{1J12aZ@I5d;D=Px;+exQ#6FI4$iUvxnl@} zdqu|am1J-fOW0U3Vh=)!q`+M{(=lSH(xAghi6D1Sm`>pB<)~FO@mq~VqC};Yod*Z3 z1Yp@177%2PucWDB-30h?fTeC@N;@oaw0bs{FB`|y2Qn39f_dfcu(g<+_g}0>6KRfn z)@V-cP4QvOnc2ot1cu$C=>nat;^Quc9KS2ekjrj0KkAncTmJr|L59)ZVCPvwfhv=- zt(aSAupebDsvZ#?fqtSZnU3G+68JbMAaUR6q~Uk-L`C9(zFn`plIUOCM@)Get0)b2 z*pYSl%BxpImZN}vEB8Q6ch8E5Ssu?vnC>_txm=EHPVn$yr^0j(N4Po+%8F`pVVulZu zMkF<{exhJVNKx{86G+Cp)fswxl82#=R}}{=UmbRzJak)2otK_aGn}c*Y}3_0 zF9xazNg8TBSAr}WfIjs(x;O!mVbQfgk63;XcTqO29gsG+?bsx!Hj0dCfj8-rz_!Jh z;Q&$l;zHf>l?%~eWWvRK`?18ASyxp)5=pV~kD*zn9v(DLyWbXxc|}vYObH{SHp=fn zTux#&301~dv1x}mGvv2ffVsmB| zU+N9B>!taa;TaiSGZwFLC_8_$5{*w*LW^81Xq+Sm^&}`oHic zdR9h;|Lvvy|G<}8K$WpJk!ZE^#T}?<2O_274{2_1o8^f?AkZKNb|SmFx|FtcBDEeA zBT>_UK%q_+oMw5>w!i+YdfFOQ8~ZZsOkb~mX5fHhGD*AIF_%%Ofm?!_fH~TO0TL%Q zAAta9X>s9bX>Fasz-S=0!M@Wla|FO)oPzmpf`3Kgg9Bvt<5($>--+ZfEy3mO8vy}4 z0Q%De`F#m!X#v>K)As$s<qm&Ay1R@ok|)1^7u_0ZfqFN!DK*2*-!P@*zP5`t95PBnOBMA;Y$y9UME`+wIfW zIUV^8(CX4R0B8}~N%(=UAwoHVW&rxIz{=Ct1OKk0fpY-!O&}e z=g%=bJN@m3Y%2Sjz3GYoPFCN&td}f?{K>}(O^@9_HZnre|APeJ3gE9Jkec1MWYw_| z^k)y`mxaf5|5zWk2|SIL1>hwxJrKutjvGrls}F#E3iA5+-geZ7$cX?!ALPFepi~b! z4EK|F9cNnqk@x=aXn>&BuT?8{0|=PY?Xdl?L^!(4r5p#7D@se|QAM;|utgSMn=1{+BoCXZFz-@$JV(d}M6&6qa=X z|Mxd$V+h^g@D+9c-;~nh)w4{UzjSUHJC%=k6s=3_OS!P@C`NY$TZyX z$^PNb5}ZSFKzrcKGQNHMNnYZ|Qtgk|vNgV|K1(^#@!QrT#>mJEU+>rlkOp5bUTj?F z_YkNrcHUntl?`}c=1(q@ZEqR?GRE{U?9W3f9wJ^p@H>0Fss0*YGR*#Qeb6AD5I`J{ zC*X7e{qx@1XChud#mCk&_@SThq#qF=EfPLm~5C~v)ejnn!LQVF* zA3mG^680k<9i9Kue-IOV|A*b36hPTZ-@Xw}mfygbVCx@0KDz(Xt=@eD?X%tZSNg=S zf~kCy9|LX_$1gOm;{IP?91Z6W;NMlWfGqv`k=D}~Ik#@V-#s2Y7REIcSOJ|+U|=wC z%_Y!Qoz?J!&UzbJyGH}q+z{>jf9R1!j@!x)iHL3Q({UJGq}$w0@SgVo-#)E}dE+Y4 zVWV%`ZN@)Z;b!H%SZmwPiBpacI!~|t^5fy2qV<)R(e$y|>A>@14WsoFLF?3v^qB)| zFJ2=#)ngH-l{m>MWaZIOAvo#bh;e&mBtSr1>EV93hv-4@bpeYk;i1--g#~&YRuaT(eA2o_SPrXEne{z7Pn5~{A627DKA9~H;p9~qC zu@;fcR_4M^A+tVR?I*}*B82y zqM*TK(aD$F>vIyIuY9sF84R1Q#@iO^*e7Md-N+nkVpaYMD5tNdavhw+dMoJ6Vu!xv zzLz4AHk<~%s6y+if|8c{tlSPgqY4e!mLi9#f#Uc|nN6Pr8vGuYCOh!_ha5VooDtdO zL5d}!I=bnzf`ykQbg-e!E8#vz5(^((F)qTuq0%6ad7hb}>GC7b`Pe-Scn!$%x?URY3%H1RE_cJz2H|{50 z(?)F6wXL>SRdR5VxaDljD+adR^D=N!fkWcC6j+$6_Oc|$*O^SC`x`2;9snaLa7ud2 zZL);3iTl}=(lV*;vz>nw-*6V7|%$^^LAdgF5GEU?(5ShC& zUoecylRQH4Lg1#;^2BSMa1q%PLz+JsP-WRXxNO;T+i8nA{vAdznzqU}ollMm4{Isw&W@px0UoL#m`bu}YO9iJwjc1h{ z7DxA5=v1&Zi)@Z z+`HsQYx@#NSum}~$;&oZ(T~$Ps$rlogX$Rg}zh5<$zBAA^=;AV=_Icrl*CL(efpJ^9EH{s!r$-4Lo<{OuT^RDyV4a=Ouuvb`&%rlB8ey+^>H;?rD|{Od|44sn244xiu=vdtWlbw+gdad%PltN`cgLs}U}PuZqg|GH zeV-mgKF9msFKh&*c-!PY?gSR@V0t5yNSg_1g+H%qBNTaBO9_8=ym}i*F0f(Xz3mw$ zH`kj0(j3_k*;Cgpqokbfml4$>BU4_m?A)n{_PWEcG$yY}5pa7hvTQjZ^o9;TQHr?S zkY9!mv>SeaeYk*qg87rvioPhleYF%V^W0hJtwzFP*Eq|P+-XhBD3k4EDlL@O!`NMm zY)nPA;v>B0gQBqn1MNl9QMaF|pRUX2l>oX(4L)D2L!CX@$+7QSrS3lZGfi7S;MJVO zLseR)+g;HfaGflem+X-_Xz8k>{<1w}q<<6Ey^3+oK@wAf7v<~fGq?~~Ccak&^>0ZY z6#eeH&_LDl<4!r6%c?^A^icwGouRO6jPL71w}*ytL7SUumYiyF2Gn+*E}e}Lg*L5T zr-yITwoiB^Rx5z*UH3MRpv*tIh!^5`FGu%l*8`bDS?{QHH)RKcetL0qBhe8Z>S7Fb zDxJ_L`9rxmnofblAFaj`4;oAY6M;g;=P^NkH%YFX|6({L%RI9nSges^^dJIp5V5>h zHGjP04xcP+Mh%STjWe!Sme7S{+kzu0)bV8WKpalawJ*3PY{LJBwE|PCUb$y>WoSX> ziR_eBn%pg56huRAcJV(<(&=Fd_|A;Ig4AiRNHL$zGCU=-lyC!Z{2rAs>@ z01^_EK~^PsIh0~P<+v*Jm;|?Y@?od+WpV4c*k)EdzRk)0ZnVjTIA01mV-OU02sl8z z?JamjKsB3^fs4tfM~?Cl!ezQ;QB`~s*?Hg!7V3+%4|WP{W3U3DNH0q0;B@nQ*Ger6 z{LEWV3;zhe2j5v{Qqw&HTLue_fO+#Q6uNc5CtgkqbbSiyy=Z(-dkyye8q<05(IQYo z8Ge>lYOIe)20~%NJC-PhIXq6h9R7k zZJJEy`!d*BwblrGdl_B)7EM}|QKu_Gzwqm{yow`WY1|n-ayI*;Uj%|{ zNcbtt0RNWGq?liG=DW-{cfpMXk}z>FdlY;}XFJ;T4v#+mJ8VcL4OLPWf;Ms+H`Q2{ zQmoE6FZT^Ew3`?A!nAHXTEg1z<_e+)c*$&#Ew%nd!+g zL#F?5eZcw`iFFNWFXc1prCO83eRw!+yP6~X0r+6+2AnjGa`D3WL_TKl`~^sgL{!}p zZ{DGsdenR?7ZEcQQWzqAVndNZs6!%Z3Bq6D@o*BZkiWG<6&lL`^?B#Wo|dN`Zpo6UR}*<99go70b&>MGStf*iESCul%|4Nc zVhMzhJ)AprCEp5a+}z!2I7v;mtbZK7^)=qS`V3SKZS?5$Ya%JAc1;7rp%mM)l(;5m zttT7C$ik;qm4fU=aG;M~fZ8(i3VqtTAq`u&L%y-+Mx@v-O+)U%%eqOcIg2Z}zT>k9 zv%K@Zf<#*%G! ztcBd&!&2`Z&mKKb@0Vz}q)93R2jh(8^4PF9U2fyo@@YJocy}TETw2Scz~@ zNM0?4&H6LxxUM}zfo$e@z&;W@G*Cqp0J8G$q%Y;Zrr_S7hOsNh%&;<|rlyMI~X9YSz$gM#))M zb!T9bc}c}Jsac}RenODSeBy?ug=caxaiX_4?1+G8vWATaC@QH5@@7XxJZ-by@&3ME zpDQ+pTAsR+LsY-xUq%n+qO&5;-t2-m4kl|t(%`M$ad_R%nK*4-CT$X!$KN~-)%%Q| z1#*^)qosA8tt?CXZvc4kTMEJoe#alps%y{dA-rfouGtH@+xz7uV~sFMborfAA{Zyk z)rnhz#v(d6ij-pQ;`!;;Y~gWv{xM z0zX`o`lkkV0h7iTvJKYKyhW#r7PY!y2spBYzEzzj&~R@Uis&<&nm(7WkhIp#2CB`( zWqLI$yVs#ot{CxVY$JnaRnLz4kXSH8o*ZpeR zUoOIzr^A!?5=7+T3>%|+E%z)?u3`rdIWaf$tjJOURr(?f zX{YxZL@Eu_aBiTgaioB!Wv(90W2(W-C}B#58Z+B6`d-3j+f0(UB@YP6QVL2Hn!8SC z!sC-`6FW%V%X>`;i;cSH(=3Qz$=VmNvw_YON}syTt=`lc*@dm)@EDuYh^#abDZ_sX zUX2);I-K_&!+jw<(44sx?+U7wI))6-CJ41;H7Xc~P3C*84bZ9+KRhl~zj!(0(R8n{ zd%;!PD!Zlnw>%zXZ1m+KO`z^9abi*uV}*L9V@q;Cuy@E-L?pgy^DHkM%?L(TO=Kf|vDvF{mnHpU3 zpOQE2`xYqA5`#Y;40d(|_t!TCDL`R1@y*83jQW%LG%#CKGR(8MGfHYyJ5JBqTgS+> zNH;@Ui~`u@)vwBvn0!N3nexID;kv$D`g6>Z2@2(U-4yDCJWpAhwvbT&DP=kx4B;6-sugmj_VaT-ocYiz&PwykP#8>6$O;CH3&DT$ME zH#}!W{Z*GAj>_>XaNr-x*%w*)QGvD9t9h9;AFWg zaO#L>lQ$eTu}DYn2st=We71r<*D1^FBYWyCJ*1~@oQFK{K6ZnYQg_8IXXKu+emE8Q zh{l);7^Tge=f1jSTzk=;l~A$=^kY3-@(gkqX}%E}piOQH#h56}8xDiX=!9 zn&0d0tbbHb>zlOpx}teeH&|YBXVGrYMvX#t)&I4yJQq zxyFhCWn*eYFl+S1%!W9hrQ5mIoIIVT@4YkWQ2G*en^E>+Inu^O(xw2CI@QY^EO1<^ zb^Xrrc@S+!+Do?6Mh(jKn~i%jExp|NX$;O!?AVxruqv5c&s|WTFn-6mVOE}!sOocA z3Te@>{3yr%r64ab4&H1W%Hv+6i@_5!ZCZ0S%Mvs3p+9@YiDnP0`wBmW*fva6-dDC; z{}^)n(|xG@*1iZ?t+FG5W!3Mh$n;tRTI75d#%I5+?{WhrEvI3n-fOb03YhOH8BWiM zJ7ef4zjSbd*1#2_5wrSAAPL?me**dqh6|cky<2*Ij%(c?PSsH)=B3KV`fmDo>>g2r zpcpz}3s^LJFs)7gN&E7yT$HpSMnqT~S`&5l^7su+Y^a>Co$c``nb|`$0=r7xI^VMV zu_moTEqm^Y0Ps)sv_pFDjZqaw2UnxJafk1sZW&du%TC`vWZq%ZXv zJsx{O)F<=95lzsZ#^8{Bv_PoDz3*?urpK(i;!Rar`^{0&)uP>~WT7(V9)Ri_`5(vM zz-m!bs~z<;&X0I7T_f)84B;jqItDhWYMPVC)FuUtz3}fnre;4WwuIW zN@0^}o#GTTSnF-oLUf}u{-z9*5R}KWybzraH8il>#Tb#sC{|)))l>vqzW{88X(Qe- zD;KtQl7+li+%30R+j!*7l8J(0Hsh_sVAdEk#fy)`ep&xubE(@{QHlC^3Vqywuk_-X zp2j!q$jJH8cbB5%p@oAHn_ot=U^C!~nb=O$t1^wWN#29=j38IGf$(`tyK*xCX%u?j z{JeKZEkksPv}$cUY!2H>zm~XRBK(Be*31t@LAt06QC1j$&Uy{62Cyh!IYimXg$+aI zT@j;g^=8jX;4?K7>)2`*K(AFlain>kKP81N<~r7k9A;_?Sw5AoG8s9OlWBk;j-8KZ z>o12K^euYQ@`dF#-i%>EZnwEt7|aZhB7iMKXloheJR2D5Fm1cwWlk!9&Eltj|I>#< zB^7d|p~i;6sNnGl@%t{gb)C2!GM1Q@Ys&UWtXb?HRlw#Xx@FAGmYWXI}GQ;$#! z-P2TNJ3EuRUNAk);buArO*VqfCloK<1T(C2Bd?)B%FZKX|Mo`4!nzKWSC6PxY~qLF z4Vc0KV+&HyJfe=W&dc538L3LoZ6RsVH2>A4vIbV-32WT!8WWB00=>m*U739fviwEw zCz4|u#c8j|_*t8A+U0d^21|1}NI7Vj$h3DN$HB1lpgG1mZkCN1p9KoEJA!-@f@3)dGi+=0Ylh+15k|>A49ieCIR_zbytb`1Ob> zrPWvE$hWj6tM5;bR}{s}U>LOSY{Ry>4;GsIaSZ}=t2zW_l=!NY1S8Zmn-W+wT^lOJ zdy;z1t@#qToKrDI-igvKf@n(swhbzEQm23FDdo>qjZAk}!Fv;Vcdq&oxXzq_IZJP- z0vCTUPU=%5pHCz)p*k53wB?qjV@vSSftYy$#Wary(i&(sgJ81@;SNuPWZd5 zoY&ef^-9;GL^57H8RbdTfQQmJ=lvR1@byiS5qP$TMn$ATcDX&L{f+@BT-z7e0U;?HXZsXvD zPr%SY(_%Hhd_LY1w(%w=h0=6Rp!H73MZxp*B|l)R<#TBY2jIIg%WRcp+qB~BHxu9i z*O0`kmyf+nMGpZ3JM)-#6W0?l;Q+Sd;Ha@yZIeV<&0v-ckqT6t$@OnS*{cWT(m*$4 zXm66!a9o-VcLS$J13S~R=-HP%8{4Tykj@t_@hA_<5#x@Nd4+19YYBV;)u{}01mn++ z=TpMp5TG^4wvlE!7i(zq-|4iu7&4753mHaimPueAqAnxiFo7aTQH7Am1j=VTj;(BA z=cYEth43lp`oX&ZfX9YsrUKljC694dkvd;yWjgNGFd1NvVMDY zX+|3<9yB7IVmdfWO7At?N(fw2WqoAh9 z#3oK~wp(~`1w>%=Ok^eCuMu^>cXT^?>9$V;Tr1qYC9^$koIHIaHgA$Hf_xP@G2ZBZh9I);Yj!Z6{i&Ky9~N+ zJ4<#7x)WIcMuXoih0~4fV3dE8l<}~5>%R`Aj6wsed5^=V;=NbmyoSc3rz^7?%1qhc z3uwfO<4*QA=8a}M_U1u6O(zezrTwAHbX;~8kw>TI^ppn;&b20+z;oTe%J;+aiPSxF zdr1fJ+aP9B^Mv9JJMQ7NZubIymi|~-73=9wIi6eP ztal<+Drg|dp#@`hh>YxF3EjwICFlrF_J!b-@Ax*!N^e&U*Fy5_yV4!8E^fjTd{ zguSwUx7Rw-I`c#ZGt+(SMb;Wuh_2*0%EA*~Ob%KIKZpCzY>&uuR=~F}27YPq+A)jk zwkgckBhy@o$A2ZN3#!1Q1fO;f)>qvQfhH%G;xR0J^EXbv zL)Ywo#CFVLw?Z0UVh#K;5N|v}wNN9)rDtRqP&4<3hsy>&xxkW^h|71G+NE)IRa0=5 z_7)4%d|qsF6CyIl zt%FaQ^|E`wMxW=cW>(p)pqqyT-H#H_C;=0b|tASP^ELuFGjCq zX8hk-9#2wo&Z5P|PaAa(h<{9Cw9EV)94?1Hu0nW$zRuTF`B4mTlX%ZM$lhYnN@?wr$(CZQHi(s=IG@ zoQT_f{)j&Pn3=D0%*?go8)IIqGFFMU5rP@p%Yjc`0Ea^$B(yIm{mkU52h*Ff-%@%o z>S-=-o=P%B^;J6thIsF?5#o}^11e@UUn(%e3>^keQGLlAzW|l`n^G7No@S7&T3iK6e)@Obo z_z;biU~>^?(jd3F)dgec{sUsiMK)`gN$~x*ckQdUjfG>gz8%3UGwTICjyb)+yWI8G z-m8ChTEma>mjZXyq(cAhBrP_Qf#LbI8&|%gEBfKNK!JUWO{q!ljlS!=ck-wi=PIKe!MBp3Fcms4HKQs6b z{UZ`gci8n7U+*MFBv=j_@FnAYX)l=x1Z>CJdD zhMYbpG-4j(+Bt|E(>DB51s{A(9Fv6g7*0`;h;n7zsI=xfMy1N?f- zNup>#Z(iaOsgTfSyn2+(EL&ty9Q0(ntrjN%Zhq-|RJ9oP{aE_OvKVA#vh7;C0Kp>84;8f5taouuX ze>;5;4W+TfkY{3f=7*TK@2jk$GYuviF>gwD-|0eF%5*3ZDqZk&1w-*8bZxvi-W_iv zv!dar!GnY6@b135D*#377bZAEyR7+-s^Lk3OgfUHcM(-R@t(}gnodUnfmP)nfm0VM zYAut1(Bl8j5Q^BPu)`r#>=OdQv-H&{Di%<%8jjg}>qRB*L8&D@WO%hyRt8 z{}i+Awdhzi3Hz3*8y8@?GB*ttQhYp!9)O(DsyOn)S!**bQ$-q>#gg!!VpvxljA0c= zDm4hRblS~ta%Dy4ImH{PI^iT)EJl~4l=)!^G3p;kox-GUk+PV?JI-&F6?f{4pb#Z5 z#|d?0>=hf=KO0FbE!NTJ`I84S9!lj^cyPG1Y?1zDx{6{}wm&u`uw_Pe3h`s=Gs?-! z@*$K_7$;w*=PVl<6)q32qF;6^Z}hffTHf+%5F}U&ed%^20nON4Z59tg#ts0LeBaNJ zgQVM?OXlCqIHfyP1-^mNiGs%5_QFtz^1!&G2ob2s7}(;U1o2G%uHa#x3GND->lSSzgw5$wWf?^`Oq%L&qW)H|Sbf}y zdsOO}KXC%liVyuXqX-{p)7UD;2gbXn=aqZb!2rKsvtNwg%0)_iXd;dQQ*R+uoMq(+ zcAQ#H3z)0gSmUS#2~tmZhfS{6tLvzkXt4g}Kx@&z&3O1Z5wnwKYs*U>BUE)8#k$YBY%-17V3h=UkS70viWTtET9JVz;Dik` z-l!^D!REu~5jggN!cpcjXe6wa{Pz_kNhWTa!#0e_Yw24l$I6S%^Z*m>YoT#KqEMYi zzLAvey!>#lHIH6QqNXBI+mNq&4T8_%O-KB6yF<6IXox1|WbW{fwsq)RyDclsGY+pw zo|i{d?Hz58w0PH~!Kf#8gw{dvsEB^6Nlt+>H7ltxA&mLMM)5ZtOBqG|B=%cHy3p4Q z=#zd;OSU*0=)C*+qnHoK2k_;0#wnG%eBqlBbmf6gZz8B7X)u{B=(?YGN9YprFGG}> zpC?;v(4R~_YDHhgbl7}%C?_m^@h!00Te_Vknmcy#nRbQ2b$Ewv_4oUeY1IsuOUbqso053E# zd$3{H)kl7xI9QA%8W(FL$Ty~_xXRl>5IHV7*5A-&g{Ms|r4WUwmii2~)3phqULyDQ z{1%4OKV5bN&3=(ij^QBWC^b}*0lsF8|M83`mR7+5*$%az=&8h?`FdmqdBgrXMeuse zBSMUdy$VSSXZ^8|-{-cb!uti+S#|#V-<3Vk+#Dx+MWvB^LNI7z`vxVok~5l1r&0t7Mu3%iC&xJpX9rY=Z?CM7uqLIkjQ zxy`h{dffijK6_iPWTczkny!BGeHNF_FX^YY1OfI#F_bZLvxBEX2&l@crDj6+4G&ND z4-W?l%GW~Mw*dc6#t8mG!MFzWcp%>FcHm>~q&IMIyI}WEa20`q zbmgw0dIyKyg&<)JogQhsFGnm{)bCnV{|tZ+9UUE^4j#Z7B7h6{y4??5-sL{P&*b>` z<`+j`Y%1^+px!eF*c!M2sLxmbokN2iC~($3ogRKIKkjcdLt8sw3PKz+07OfO0OL>M z_dHC?2R8o>Kh6Oh!-+={KD*!L>*?;V3_hv}WZ;JTSLn|ws^f*kWcg)z-4F9aZ#EMX zgR37pH@;tXXexT&EHwlI0vf>Emn)hq^ccVP7h*X`a{yq_ug%MS($8|;B|ntjhbeCw z;BU4x?n{{_gWown6Z`(b=|AGr{+B=UyEg8ZKl*p(!8iH+*QIFB!1OgW_uO{ichpuN zzW(to^uA0J{d5#pA&}Pw=*hSIW3Lxo4b}?MzW!IYHlcC&kWNCl`ufK^4uKprjC)NH z`2eQjT^idr^V#P%9Tx;@C5Thdr)bo>1_;z0pn z>ftrv{tg;|X3q{99;QZ|^#1M?bN_Yf z^1_kLm8Ri=(v#*#`P7xp<6SJ>>YAD4luEik^_}j5WZ-t2H1>ncsUq}}s}4BrvzdN1 zy{oz~jJCi2z|h8{VD*I0BMiPh&n1xj_7Qr4ckoF2VUZh>0?Yxy#{hi61V)#>7P z=PREJ-8HpN_9RX&(w3c40>|st=jbmK-4cm@1?C@Gd!Om2O=UAzN%9(ZzHNsxxxX0$ zvv|IFsxgMccbriN-+RVQ6Ug4IhwWN5lZQ)^QsNd*SxE0VzD5cC(kAR0=|(e^Z43^g zUUZR>>A?ENMX?*6ZGk5eL+UD!xj~a~eDq%qK{KV*G0c5=;K;m=(xY4c#Vh*&o;RG8 z$(fl0lRVKU13Hb@{tQo%b{v((8I~{^9igi)8$1*3`~B?`{eQ08>QCe9m$|q`xaJiT zry91j(+c79v8aaETNFxN{jJ3ywWHNyuix?qlRjHIXGVXR-f!vFFw8(D%{kgYK+mHC zo&xPpSwXzW&Qu1h1wfn<=}Zm<7eGO~Md3yhuRVJTw-5`J36rtq+1Vq&;5&!zg-Cq} ze2|-IDQ?EX%5WgLX#;2l89Mb`>XeJcjvj)O9tw<$my9w82oK8suFZ(9UM_55OLw8K zR5h=HAINqhfg@5Ziro&Zf0oy>q|r9HqOoEBe>5To!yK9(%gdnt)Wm2^b)c)+y7D~qm#EPKJtnZ_~4WNrwL z>Gj#JS!5#?qn4OK&p)+4yrZ-(%rl$Y^I1;bf7sAand+;@cj#kw;2O91uHT|Da}=+z z3?JC+@(6cXtEUTb5ZSi{4Fm2HQN%jeJsc!lKB2`?ZI17F(pz-QYCMmRczOjKHb`h< z9dGJ2Pp~w2mu%BFl7fAc`X;ze=6085Jos#_Q$Hop;-~)Usg*w`&`p!XK8jXRxK|;9 z`zD|et)iyrE^;Z%56A5%#OlVuF6S76f@CclM|v)g?wumqYPn`+`G?&&QWo0Gp8jr~ z)L~E;F6p$TVCMr9^w5qYI?a7x43B~eDa&N$?0@bXc!eFCyw#I)@>*W<%6Ha34yE?z z9|eDneaJ{=Ha3Ns=$&lvPV$f>GJVBSU$zqSw=Ih0i=3`s-$-JQmfFJ$^~HNqRn5qE0oDCa&+2ck^G< zIg!ALF;5n?hl?2Ox43k!?VnE_AJR;X+nij-QE9T5qdjRg-EHL_m8=>1Y!20Dyd0YL zal5|?2#>7zFGPC(*n!67axA?d&wh+zE@>d_+f-q*n=D-)kI~igGiZ*p&@dNF7PhOB zco-p1TClYmng41Jto%ss%ho496MBaV-$Y{^1^o?-2%oPcF)4Au*sQ+NG1Uam>Zc%i zwPWIu?9mxz=38mM7Iw~8*r#V!g2{}qh~_3@5Qe;vdbd$di~hLM`|)R_Y#~Cy{xfK) zNce0WJN!4~N1$)|xQ*i1!Nk9$`{@b5a;CDKaP~O=>kS5h(Rt0$QHNRED#}V$4F;^? z;v%}{`+;K-+WI<5aUH&a!bIiEb%1`RD0W4ilz$Ru?wZEiWG6ME7M0Rq!F0<+7*4n? z_1seE$FRq4`i~g+dWpRYtZkKU6o8ebKhZs&9==$+rWp$pWWO< zE?8kUNttmt%p%uC_FX0zQQX)YD)J8zHocOMic+?$i1jM9Q0OaZEL%&GpX5sg$!9Dk zvq2z**zfSRBR{ACoOtF^4mo+k-2cwj+!f>lz=ky3qS8U;Z={!0w=gHe-uL(Pl;G{hv8u}BSr8b{}NI}~fJBfYNsVA*s`5@sJ1f~k2tkwORwNbgf4mw}%>C>N# zTq-YWGSi-CHlps-YnsY2hwYeLL=G4&7b9uauVKJBiLxEk3r%4)wNM?5=N=yKfRi&O zspY436IEKo^F@u+=joj$QgS9FaICAb)Z$k|rk}r;=uiEqd6d!3VX0-^-v@vA^OB%0s z8u?!x<$HL*8x?w-N*XyWCorshefaOqjX_g<bQqV#4}s*SN+&f$hvdW^ zd##TU=DN!xP(cMys)dFh(RShkg^18O5s)=*D&<^WgO}}Y!!q)Iy)B<6X5s7@S&-;mHOdfvl%AU>rk{wS`ctOX~ji#l#sx|FH_mK1wRT+a4xct!$U}#nEH~O8m za_Wor~J}+&2 zq`=PG%yvfQXK(#ZI$AXYLZ^J0cj($ua%<_*uu9=TUEl`1e2IBt%}*d;WX3@Z=1pI4 zAe$R*#h-Hrf9!rt-pogw;_J}rrxaCm<~2a^)9l?r9&|stg%7fBi&&6VpfaMm>dBY+T0>VLYTP;zi zX_QPx{h6k+WF~~dXuNE|xt})@ll8zLN@K2I-C`u8#u| zt-F{6@_VQ^C<$H9W-#i#aBZVliNvHybnRy}@)_i(i!G3Tbzkql$w_!yJe+!{v6~Vr zE24?Y$e8zSSw@g^mrUhq5y+@KfMbIt8Lv{n+Ldxdt7UMCuFP9Gl<-8Gh%UL(kI03q zXE^(0bw?o-2Cru}9Kw10_XYuZJ>{G0$lUHWU#!mWvb|JVunL6%;#(V^Yp5G$@}n!cyI+PtvF5ZJt}#s|d+YE~WHPlYX*ttsmi&WqYrRc1~*p&L6Fn8Z9xj-v)V4N7|+ z(SwD3JZMmPU;RhtKs7u1*eMDic#;o4<&ofnI>mMEZMArHCPmJD2(uyVA}4R8<*6W3 z;3u`G&_}m3v$4<5JI6I?F~u0=EesL6M1Wj=BnB|P+8)~b{9}Oyvgfo4!&M^qi;ntW zLb;=K6%{gKUnERuIK)zRXwD=c+`e`b>jfa|W%9CAV+LN=i^UcmIomV*AtGt}G9l;$ ztfYw&ZIweprYmGhI|V-~d|vtcqDzigX*ItD& zN(XPSmC7T-z)mf4GVnBvMFY@Zx`p?%6kOF{J6ZII&$o^_HLX3^?vD`$>&BZNi}d$& zuiICyTKHmookih8wB?l*F{@Zo)U*Lbn1@+9^(GWKcvmTR^QSlJsz>ek;$^k>pvh`v zrt)-wrzKqU7tTAWRtzSI@tz*>EjR$!d@}w!W}T!+R6e=Qr&%IL{=z3KuvD>JvJMV74s=W-t&*v9ZISPsbA=B zg-1bbyjWf&jyawDVa42-X?xDyYTb!-j+cGOrv4LYE9aut+C@sl>-u#uaV&c=7~pj?)G(Jc^NrT#W63nq{rhzP}= zNDT{BlCcFyC12FDx7tuw)fhdHH0Sb9n3!OOZj%rmSSTe!amX$Ws~T4W8lwUJ} zmlY8bCg#E!qZD_+?~{QASqGWGy)!2KG%;L&uU#vk$S40IbrnqG0)Jfk#7mVd6UjR{ zVl++@NTt;??)8)*8}rcTxGCDIo`n&!%{YB6-gZR(8lN`)Gnd?4sz)+5njS6H&eJNX zUr#uhcb5?WE!S%A*Rr66KMLg%jr`3gyEOt&*#N0lcPwddJyxxh$9tAPzn94QJLyBd z1VusYwePoYSQb=bfaA7|KJ#LJA;k5puIU(rCHn{~awVjTZcm+0fM)sJ$Ft=wL(HSo z$iHnva*|qu9toLx)A)z#128?f8s`~j>hCzYRyZYG5xn?o1^)#y?1g0=T95WP>EE(K z8%cGLy}`}*6C{%&iCP-|N*Zh+RF#U)?vnI~9aJvJ?PXSdSwHksU|cg?QGU8m%FD=cq6Zy6}{ZM0HHD}XTqteUzUvKvFIe{ z(-(IdjPiHtmH3I?v4BbHaABwkMI1iQ9y)3v-Z?>6CmeU+Yq_sHhvGS1)xMhKW-hd< zW>y{<%wmj66#tdN33;#f<|FQhSs6u>W(T4*$4ITqjZ%PY$DJ+5p@fncDJBN+#q zUhm6yd4lXWzwztp%tr=gQw`o?5BD%8YxJ^Q-c;87xLIQm zv1bW*u4hSzQ@2yDs~W={OrU=R@Bj?fK|J2e20Br3;+ zao)w|nd+L+BiLA|@jpi<+HqQK722Te^v-6)9Ci+(o1F*_a0x1|29bZh1hmt2ONlRy} zN6WbHVovL^Wdn>S}tstzm z?++P^Frnw;Y0!YvPyaQ#W3J=YhR-WohT_R%LBk0W8G@HroE z%^g3753r<~H48Ed;S<{=gma+LC+eRm9|^}c(HhWZRL%%+CJ}Fs8j_;ilwY1|(0h=u zY#a?&HvrpDLDNH}Vcwmsl>MnXV_C~p9lp|SX%ll-cZ8HiSzc7MzeUAMSN0p7NXBAx z&bk9LPIAg5GA+@Tzd!Bogl%6s+pxCPx<2coCO{9>ih<+jGcao>mKo5;j#&M>?`&R^ zL(YxqEy&-u|48n|cru(T-bdOOxuiPYpcbWqcEcZ5#?Yy;A{IW+e@fKy-lMdckjy*j zshRFJ^BjzpBX^U;SVFAX9!;|IJ!}Z^IO6tUvLO={(jAvslcCFcpNWN+gVZ_1doNS4 z;0kiXFo~Z2HZib^xsYTKC#p-W6k6iRyB+&A`SJSFsZK(A>O%?L(|iZQOqgs(CLfW z9bDQrv|>Z_{q!&!Mo-)zKLg4#C_D<*P$qB z==0Brn|45BbeSVBv{Ht*@j_&a8C3dmGoBl|@t4PN+5U6BHHE10k2jI8pbBGQM;vy{ zUk+ZZ%C0a=60so!YX*l$<#YS+-M;~%`P}tqZG(T<(PDiCo;+UJD0U@-aT! zY1%6zeME0-M`*gA{rSfdZET4Byioyb9PY(b#LVdW66CEA-){N(eO7%at_dt=+NGty z<{V`8E|yfg?h~R1){ARfo@aI^xnF3ZibNChaF}-vi3&Hq!(d6RHC$B^YBkKz$Scvz+POzhZKjN`&BChs_>x9o7+Y8w7rQ5aeptn0glw zxCfryv4c78w(2!guOVaQ$Kb@cS*(Mc-*i@*ahz%H!#Vre6+dAsEGr=udO(h%+0XR9 zC4O`5x%P$j(M>q}+1K!@es)^#QQRrcFj*Ez&H1|iL;)x&r!7V=nB`+>#VoKkr-A4u^c73nYOi8!4juP;B^^+#%a@B!E>n4;II=ll9klwOEi6|1pLWz@1*fR#u zAM|h+PuXbm?uXtT_P{OPvZKqzw`AMqP>iuvNWOEszLJ;UUK-acyz>6Xz8F4p%vz%_ z&BB&0#0@&VrC-{V2X-%sYfPL%6;f764yP1WIfr;f9q|~J;9e+T;V53O!rneY`W}}C zaNMXp?8e$UD$=(59fMLQ(l4qmiRcCg>m&>eHj!*B_8!DoZtDv`#-=pU1*Xjn?itnT zel%O{VI)6JlOdP5@xy(eejR*_hVN$%p%I$f07hH-Sq@6*mx?6>UfFL1(#^LHom^E` zi*KD^;#?BP^P06~*2HhieBvCw&<)kVVIo2n+C0!6n#3!_qDaq#qJ5tab<#VpJ z-Gk>W<+r92-|>4ZRhk?u;m8uWaFuESD+*pDR&$=T`pD}cqS;Pa8Z)S4HD8vsfYCL( zqP=`ds*T40+qdMP{UAgw4Q2)SB&>6IvuEB0#4|!!+d|_QiUu+1p{vpf96C^T(ofnTha-mZ&-W`2OYmMacVF+tlF>s!=gb zXEUH*4?vx&g0$;fhD(Bx04={(o;JbZ01m4n%EN3)j{z>)Q{HDAkP@|)yLe>_g1JBX zF9uyE=uUX#3|7iYP~Zs9YMy)3>in}^a4l3;Nb6izR)lO|PBtK~1aXkH{7Ol&PqKv8DH@m8@l2f`!0(C`%lI*d@LgZu%Ho-6z-3=va-930x_3Z9I^6rH9`x z?e44b#bFI;mSuIk+!FlbR0wl8q)TB5NH3;$iQpc(do2VP1Pn-$fBtX{kIjA>X8uIZ za_c8$9@P_nA)CU=Xh{i9p2#a*KHYF!VX}*j2F%Hp(aQ$K$==9Uzm0TNxuh^rL4y=O zwhC$33V8%qS0|ckYYn^Vn(=oZ10cq+FK?-2tn<&siRm|~%2U;VMm|>JqKGgi)J9BZ z5bOFy54Fj#c)h!`N6^OL{}vDqEVvGn^>jd$Q#%&jR4(wg_7X# zDe1K>Ay>|#VE(2d*n6eCqCLXecJBmsE`4}1NkmJKcp#kOoFLa4Q$Nxm-4)o!mWbjC zv188i?MSW570bX6 zp=**#qY@8I2^-5PIcX56No{P&d95nX><*vMUdV%3hqsgETA6zV z)M;(U$uGi!za!1f=>F9s9QE{oq%f-Qk(rz?EY}_wB1xg490UeqF-xOW3FS^2;hYXR zzBYD&fnrGxL&KuqJUF;!q0&&c@Y5%4QTH&AVKpw_Hyn&>K}36rE%c?oQ@0mYc7}FF zr1H=*)Ee8?x5mAtH6dz4_x}=vH|Ke%H`WDhWWML*?%0vk*y&?*L-95^w~?G)IjC~6 zvYSeDmm|I2PCUzxMkhQcF7y>DY^ZAbOD9~mo~Rt#nR(M>t{=Wzfz0X`Xoa2*q2|}HCVoF5 zX7nC#nH($4oYo7i2Qap6w5()Ark*aAz@)~t^3Lt?acYnTpeixW&M#ebEd@*6K= z0gV^llO$>S9AlXXsbUME>==3@xVC;E-w|}bZ)}NPoP`-}J-FW@BzKdTZYT&}VXHY9 zHuTRnq(@(9*m6Szg1Gt=gDp)#H_M3gB45MdZECMczOO7Hqa=@AJglIt3o?as?CQk5 zMrLh*XXaQrM0kpNZK6BRFWPC*5wHo5+QrP4v`47TAy0QmNVAYZMLyVlsde&ix1_+T zrGnc@@tZNDnbA*24!r20Foy_b29^Q*%#FX6pM`l!`>br1r`P*;4y?l16AfN7ufE$| z))K6G>YD^zhWFHE(H?p{_-kk;Hs=oLR!*2pQmiC!%jJN{WvlINpix1k9E5IG^iWIr z#B;!4@4!e48o6MlSZ@g8n73Ao!R?xdsU(<=Ds5@$cL@fyE3Kq4cZ^0{yjtI<<9Tku zS-XH!)t=WkN<{-3OH=;IsTZ&&w)bctO~aSdnI@T`#*N7c;21S$lT4^(mzL4VXJ4R> z^0p@#kg3vJo@JjvXVnpDAs${z{C=l~F6>mgQj9R(-Z`VY@ARj;Q8f~x+*x{jx1CK_ zg#Guh(DhmMsaMAoK{|w5>1$DGSROs9y?GF@Nw^;NoHr}b2fIk=`MU;^bvOdDz5ft> z$^?F=GaiTu8yjrR-TSBCmJz7}FRX9(C|VkvMuqjoZd05TS$^hxk*&aupOg`T3nn5S zrY>xH!Sn8*14?oij-+c~Lf?xzyyj-%S3@+vNC#Ha=HNh!)E;~XHCc)pZzQV<-NQNF^MwQF zl6OpzE4|8a&)o9+eV=N*5pS7h6Nt{BvTBY=rNxZO`(|b%y_C&*l@)1X`nspNj4ge6 zm=JbToYv24FKbOR$nymK1yz||ihzvs1ku3+d%~82A0(o}+zZ}pu|PqD*v>+>lwVES zzsk-e+GOWt;o>L?zmcB*-(XP=-=aZGJ`~EyK@9&G*lw+raoSB^U+Ne`GVcd6uQmhc z>r3~x)voQhbY;cQj*Rkyh`*DXbUd;T9K#X{IT{K|y4iS~7ImAU_8(*=*<)RXKj)oGw6QmOErj zU>+#|SLU#~9fqL#W+a)z$xNr3k2B1JWVuDfjd{o0KjrzS+YP7k^@gg!fr;9o#)ZYJ zswApA*qp;;PHIHa;OL{#mNyP&?7<|kUPgs(0vo&31AD_t2m+X(wb3SwJsJjP#kLbz zfJxqio#P}_`c%#tNt56-#*zi?m@MjFWh4@Lq>-kH1toF!@}rB5r5Rfg5QlAp%uc^e z4J8wSSC7HZ2i@uoqhDJeOJQ#?&n^?1y=HTXg#PP=Rlwuv+t-K9@TL-YpwbywOd+1f zbyu>72v^C=1qJ>lm7Q29qg5>7+(>Q9uS$PBS{{$9)M@MwZ98+8lguJSzcWowip5Z} z`Pa0U!uEt}QVDLm=K#3$VS;i6`ArbQ8vc6lgK_I5%=0pf5p8hJWgSWnpzRZ?<+fM` z%`?`w#-aZK-=l{L)%q%UGqTNaNC~!GYpH8JH##$Mc)Y%z;Id`m+PN5pZ0!o}{pQnS z*1v}6zwyqfL^14?XTr2DZ_?OEtA@F|>5=TyaZLF$mpaL@t}`1{=#sRlYyaDhP9lKG z!YI^_|KyW#T0<-~r#AOPpxvA`BuU`AB=0ChilfxKymuu&-JlEQQ(vg_GvSrk*>Dr2>fZKB;Yr9mu{F}x^M zWlxV}DpkVYKCNQvtT%c~zf`EpY)?ZT+d4alOE;p;sh0sRMsjlGzeJUd)Q;K*v42W0 z=kRT_0ZOQORsVsM@=?ci^5W3WVAyup+M)`Mbb8Q&7gf^w^Q;{m$r>#@F8g{? z7zvA>Q>JYO%%NK}20F`8P45N0y=2pVejkNe4u*3M=4JiK@CF|GSuup~j{8i5_@URr zR#gX9nxS2$@jxA_eqP8+hfMu@U?v(*__+9uaunh3DkJ5iF&>~2KXSooUY`Z9%Bc|? z`Rm|pWUkRWOhuW3^obJO9BhA%pn^@Hi-F#>4Wn>n9JR6ckmw@i1Pb=SX!wjPpI=2< zl+d(Y#4Et(EWrS7V71U>DMgXd+{)M2Dg!HDP2j5}X0j@cOWP+u-+|E3fg2n+(NTp8 zPl7TM#0NUVjIBS?1^NpOn*9Vo#_DQFi#aMv8gEn$lF>*>i6>;TI8r|~Bat)tY1EEm zKw`R_p|Z^2kW5=ZplCeiea;3&5+lm%p~dDb`bSrI;hQbfM9D`vn#AVioXbLMA1`)) zTA*YM|E$?{c&IKrqqNZ^*W@ngrMHUIsv6Ni=@8iaQrVDTj-)inHU1SfD$E~pPsn*U ztPy4)eiHEEgPRBox6U*DUnqr!D>Ei$6_i*C-_Z2o4OuM@dWwf>S-MXURvko5Ke#v(Ve?C_Q0a$hRecme#K>p#^#KLvnRK`DOHYO zF&G}A86o@nhI0Nc*2FJ%!k@wSMiI=Ou@Kr&Y~|F&Qg3`gh)W^S>?3!AG_{(e=_VY=RU3L;8pSg0)Y{Q6&X&7Nd%4?z z%KHUae#Om#UZ2Mo@`5!C>kR~fa7a-;Udt@(OTL*)AuFX?yiby}c@KmBmGKJEI8l-A zQHq@Vn{Ypt*jg4jiUNtA2&NMFb}iW;Q2AAht3+*|+K}3o@bp6XzDN&!f(qehcF7RC z4mUhd^KekNcC^jg&KMe~WYoShH%%b&N9 z+H%l+Y{~1&jsgk_Z}ImgL(HE!u8z^NWabDpa#SkYZUT7aiF{OgUDGey9h{ufr*@b} zshv8hc<(!{%^-6^LE0wDjB7PSZ`sl%8^RhWjGwNabSYNW3b8%y)>Fu9Q#Hz{Cccq+ zH#%e8Oz)e0D=8BQ-W4#@{dALXvPleUTy$8G5haelpT0HzW6Bf8E{?Vv|LKBAeI{es zdns&7?u6RMF67`<#=`wi22sObdXJK`P02=*L#PE+RH^S4jLy1}N2nTju?h3^MKLjp ziJbkDwILOUJ(DYBj*C)ueA&5e@$3c?+4LA;|F>FAbdA&=`aGzxT&hcJ;Zb-w^Bj`b zp+_Q|ArqQwG>Jhn@MIC+fBsw_Y>TIJP~0}r3~rmq*DT{q2(`dAZ1L;^j>SEWW#U(3 z?njN)UqH6Di1q(~aQ|bn32Y54pm=!xi_#`wXZgR=cnJvpzw>ylRb*`s7*M)S)!g8d zH-Lv-B!Ezb8XgJl*Q`}4mURdjwQF+7sCoWPJ$cM+7Cmh8lpnCkXY8IxM$Wn~JUHe!ojn$r z^2u{OxG&VtCdzr`JZ+sy(tG7J{oB|$l`Q>t^yt3OKATAAm7{p`m;{wus{FxI+<2MY zuG{ljd}uu&?cx10A-%eeKF`~FlRt>8#(wfal)Hhf+8*mUG5QM^l@qx~FECZ1{vSlc z@*hOQ`2RyR%Kuw52;KjOXjFoXPK6KZ{twZR;C$S!G7DosJ_C4Q_G0!&1rv3OgHRyI^NyIxh@|cZQL)nZ!9mK-x2M6)@*eA;W5edT4Xy+B)8qT za4X*)`ban0R$F8Oy+Mr4y}7O8QV}jbvhp>LFspHSQKhxkx4vLNFEbD9Huffl# z@kYGRkU9qz)im9P+%bYUQDZgWJLhJx-qs}z=Y@btLUUG%UM2skmFppm>-xqMbKPhP zrIS!%{JjeuT=OlQDAoH}S*@|%pucx3ozAtUKYg6{ha(Jp{=0OuC;frfbt5M?ej`@c`%c7kLF+Jy!!@S5t|8H0&6d@_rJatBD?{O}dQ3gK91 z7{K#-_&$9j%DN|ib@wa`7&n|ENE|ZEBS}z7FvY10)uqWaI++4VfoI!Q-Qo#5P;(?G zOIpLej03xT7)Z@N=mF5ZFq=3(!vXbE59X5qxoVb`rZBZU4U?ew+{H;!Kj~yN7a-lHlx${h5ui|p}Ji*{0T>!CcE@8NfCC;-yOB#W!$Pw6m(i5U^7pa^MWwW4X zY8)V_{wB%#T_SwvvvEoY;=p9zZndgUF?qU{SSoNFgk29D9We~RGOWaVBB0&SOR-W5 zFkk9O_!s1y!~VGl{GnWs=6xC%l300aV)t9oC+(SWr#5IjuE_UWvQv)ikh9wuIh}-q zSaXJDYD2T@@FjZuX$jwYq@Vp%FM-Qf;MfiLR{`I8#4mx->+o#){A>SCYS!Ra>hPnSXO}(j5XcC>;+C7uYK*#t^5G- z`I=e>Z*sOJdCS}#9m$jtq5Xt%dWFgph+cmQ?#}#slW({22;bX)n8m#^wHX@$1d3#aJcA> zM_~t=M`;JtM?q=CvtioTSx=x30SBB92^=Cih_-Q#2N>?MS2r67;$s2o1h(PGM*%lN zx#N5ItmAvW;XH4noeBNF0}oJ^g%l#ToGT7^`!oagT|)dsPFOMDq9XQJlm-S_Y9vEv z8dGPooqUc4tEQq?7WO+7Q740|cDDGvBsbgMl18>s+xV?nHnetxQn0Vz))!!vTeGx3 zZ}NkSn)~0tATl_i|Dk%={(JSXakBl-tLOjKRPjmtp$OL@<2kG}lP#LnBxKl;Bo!b+ ze?FhFk*idB5oB|Ar@HQ;9bYeCZwzrS9-Oa7Ic{DZG zEqHkO>sNcITV3>C*U5I9p6~X?GFy0bsJI(^$S^usxQtm;KMvUE%7FaFuex2gQ82))jy zLrPF_=G59f(_p*d``1!=;9J)JwbZ|K>rd0TIiWv^EPNu1sXYze+dg%lwF_JGFAiL| zv_=eg)v8qu;A->Jzg?CznLiwd(T_jw4KfRzcO4To4X2AWP2V-&b@K_2sG4ZQR1Mb8 z*D?;d4g67COZM+L@WqG8z%U1_fMOg1c^P56aR34lca&t{bpUygV;lfW2<_k~egngb zZUoMLA{|-?7EAyVsUZLr`E#oN{p~;u!X7f(Z!iM}b%svyl0dkS80DrUdS*`ZkqlWQ zT4F)_Q9umvgP29w$RUmwIB}u-FcwBUFsYIN7i?Lb&-WgtkM|vuzMVf8Flx|6_G57g zh198dxx_EYXkhnKqn1NEK(MfM;RY3s*|84iXu(App!=XFXhWwV2DjER>K{Ep(!1=V z%@Vup;<)FZXhEMnHU{XWd}MGI6KiqJN6uOPwOyD49pa;#P;quNT z%enTxYG>F=^rVcQT5lL`LO6terAyKjW)kJ8%5y0vIf0#0<#4n9v$ZZjt6P`-yq1Vx z3rugtDtFSe0lHjpKIbHF#fy8XEB*A@;Jr~WKIx)&)X40;XOji=kiS+}`I`$A^#7~9 zvkr=DTem#~cXw+71b26Lx8UyX(zrW>gb>_=1x;{wX{?bXXrR#m!CeB}&fe#oyI<{8 zopbBetM~qRRjXQ8SI@5QUynJ)H`ljy5|RGJVJzQF|Euv9ywtOIw&71yPCg7=u0=MRxOo{A^(oY~9gW~2}{XB>x^0^Je59e_KAKkcc*tuh=J z(2vu0q1AmjU!Xjf8H2Y|yS^a$Z<=PbOHRJujs47JU_*6s4RInFdif0}L z2mc{{0S*P`J#vAiCkz@)c32Xe1jg$?30MYWmS`j`B!&0m2t_a8!n_@j3rSI32#9l; zVYuIqe2xYKSP+Hfh_Yy>Ux&R8kb4#*N7RKp;4on$Lp;R*bIy?~+0JPpP(B3-gF7qi)K*NrE&Mol&sebMI8p(#*jE8ywUrcfdM54SB;* zCNzJ`km0JS@WBAv)ZA4v$d%!0btkU$Sh@8g*vmK(dhz*nx0__^@sAh29{W}sg=I+? z2Fj)*BsXI@)J0|_R0A&QKr_ZEQB#0vVD62Myw(HBwO@2M=cN{I!$|b2aQZ=|>gjsZWn;D0U$e>bLopJQWVK3xAerSV_9f*}=uRbY3}xANd`qOSAJ zWs){%>tHgs-ODUX@yg2!{pjedR)|VPScFVFCm>f;6e&_m@X&E9T8Y^ONjq#?#8Ul*0sp|NXLpWm^RTPq1naHMo%URlx{8SB zluMEQk80uG0me*I@A|z8=lMpTP@IA0R6=CXeilG&g3 za`Hql9?G?EuvN_NmM&E9`;Oe+E@oZc`mc~xn2YGM8Myd17hOJf3KH`@OhMAm9)Ub6 z?H>WUx_UWt9@<$Ub0L|4?H~|zhK*QO^OU1(Kjh1=g{Qpj6%@^6h**iv`i>KI#nPzP zx}uV!CAz**pg3Ykk`yfwZyRb)9U?%q(ll(-(nYa`#(p2$e}A zHzx?ncgZLLG+3-FT0C<_<6XQdxOr~#?~=ADn6hEP81`+&9=>H z3jCAjx%@bNJpi-P&9w3f57Z3>^RxA<^axk7yVCbg6XAIMClp%h2xYDOfwp2JE`0|6-+A`9NX!9>yI^Vc+M@iK|^UIcwj`Uz8nT|o&PtPkf zeuK>4Pr(Guayb4skU{?kGRq%ys=A~s+g}6Xr35b4>ed2L*p?|JHou>qCy8cuP_Zv( z)h>1AMZe1JTJj3qQx;YZJ!=0m%K`BXusbmuss54Wv}}LHJP`Y4ol{0hNe-NQJECku z|Mi;IY7Ls@m{a*a**;B-Y1i4_D+iPB+YX1{y~L82zqNhWhI?;p*$Qbn1p6$DaGs6| z`bBqE&R)SIPW1)h_wA%rOMlaOsE9h0)C15~?Ryf--OTt@RpV5DOls6$kZ9wVAU3!KREe)a(+ziVBS0|X;9hF zPc8dYbI`V&-n_n=*6^O;Yq-mYrycwns44y6snZ=*ry>6X@VaP#E9RNs0)aUf zkB)x3l)eDDX5Ts>K6*gO3VN-{QK@A=h;T7IEnQdJAz+gBtSJ{iJ=E`^A}^L%f4J!5 zTMZVuVa+4s5TU^Z|H*`ZiccU3m zB%D$P*^at5Qdki|AD8F?<)U};8Am`Wqvv$wghW-L)3p1jl%@%s>8#;aA%8w~>=6Ko z{aIH$@=vrgT|j|I=_oYGflb3&`IY2Mv(uSaA?o8Gu2Elp?nSAzL(WZ|8V$?0PlCx+ zl*vUF&{PYN{1xTwl6Y-IBBpCn+$7wPTxh<>JJ#}=MfqMC4NiV1#xHcyHiK3`Msd5c zyYO9(xqz%D*pk;hbG|IH2aR%K)^zDWRsnt5tw`3&cM!gqI^#7^DH^QJ6r4XhbUAgB@v6t$KLR(aLro8+AA~Od6l9?}mmzkejWqg+cfdQ86!Fn~5y+;kY-HtiyeQ)$!n#AXAt%KEP zce)%z5$@~n`OodNDDG~p16{AA=hOr$+$QT=-n!Xlv3>;8?GXOtd#K!7`ZN91X!Q9? zVGhApVSm2h{kF+zslA86!e|#Y%GyU8BjfdbE#?(%z5jy;>4e3XqjrGm;>8!W{Fujq zy+GtLaIni=S+L!8LG)t$A2RccnLlKv;PS!Ai^KWu4`w#)Grg@Ovp>}Gm2Z}DJ(LCW zOOD;XDYa=sS223}m3|(&{ww`N*CH`wvBGa1Y7PTwXj{0VSvYveAS6ce5E9al5wKv+ z!lx<5$Qc*LN?|p%9$ES%qrSPVsJQFcV_yQc_Hv~RYn>76Yf(U%(T4*g6ZPU8_J&*a z*Me>AS_p+oQ)_=Q6T~s~(?8tfXoO^Vi2nb}%wJ@NIUxArm&{yGi#GjJW=Q`bGs7dH z=t=qG5UM_y^2pyH^Y^YV06~ubnanH;VR!z}tB-}*>*E!t)nY@3dv6UVcmbz+a#EWz zxP=mDBi)R3d;O}xDaYltbkZ01Heq4%7{7uLv8kY*&=l@-*#xuGR&jNcT;8?j*o~vw zZ+_oR$ko@Z4y-~=L_-L~%Y(0p)i=6<_Ef{`7lL%+N#B;+Ud>m(N|Oqr7|x9l+jwMr z6#n5m;zwr({=R<5lf)grRla`l?v0o+5ej~2Lsf`&+hUFtOE2a9Ju*Xm1 ziBOf`+?Z3{l_y13R?&Q{*cN0`DZ;As-A&~WnLAJ2-()$T+=q>(=I*IcRo4=LKKEjj zSj%i`%cs1A%8YuJZHv_j0#~6m4kJeSX0>fTW9h1QGXa`438k})FJr=%o-x4cz%Ss2 zAwXdKdtf23@TCZ6fO@_oUpL@9=FdCxI%M7iFKXVulM9Noc z85gy@Wn_Ctz{NB*U132TrQ3-x$P&}=d0FA4zR;W*(Gg~PfDNXV7Y0df>Z8Q&M*Z&e zOJ!C(2&{hr-9_dKH&!-Xp=7iSC_5U@nx%Zj_Zb52+TT2b6E>A;M9KzAo7m~ zQ|vD*Q+#e*$xv}_b5lOeK4TuUt5KTRVC#N{ByR|WJ8w^XdGgAthDV_F%`trE)`Fh* zt;wX2Mu_>V^(6AskMBGUQ#{yQCpk?c%?@cn6GI9Kx<2Oh&rF67<^wwL4z>mQe}@Hb@5^{blNS z4&vKvXiBds`?en6b>-65MAM%^4#m6_eRHh!FUGH=zw!NHw@jY9eP|R7PomB=tEj(~InvSe?JmA;w2ykS*85-aq-7fiZpbii~;rFDMX;fwwFB$I;G_p`Ll*^Hm+;PGAd z@=|`sk$pJgW?#T0G!x%sJJ)+g4Gt z8g5zV>2OHrqqxfSg5)i(m{RPosbiuIJPI2pEVMvvxrh6~-9rI|2uYFFnA}OFRY1XV zAxYbQFxnFZL-b-lAYqf2Q~xYp^VV+OtktV2f(tXbbPH$j%~@|4a{|U7T7p-cv{1M- zxn@!@8@(0l$y+H)bzB_TlSrTad1igPki34OCnRx;gk^FFydyU1kyIEWn=blCT9y;M zitrqS!3xQ;I7tjHxY~$($pN~=%rnvrx-ZWWn@-U=FAxRoaVk`!3e8e$pPjyElvPn9 zM&aD+^(rl#M|{+p<+jDfvqKTxj%c+Y$3r}lo-rVGB*-f*d^z)t1VUn34eLjM`vP7i zb50bdr5?~V&AkzY@>>Y^$7pklLJWb}M&vyqK`ind4J-ko9PBZlv-rn#C&un4?2oyvI>9RY!M0q-+-ZRYS^f7c+t5CRCt}K_*9Psa-6U%8xiB0J=KZE4 z7QmxGent=UO_-<|J^m}9%8uqprl0F^1&`Y1ms;?luzM4A@V}www?*{-X;$&y^}zpI z^o%b)8dHt5XL*Ca!gv!kxwf*yaaAySLY>)jk$(7NC-U1G zhnMiO7u0yw|I>IC%{_Js8}L1;K?u$s7Y$x`u*T^wzVzMoEj{#`jK#p6nrC55@G;NX z@9D~9x{5_16=pE&m)~=zpyl%Zm;~sfdtt6kqQqh%MZkv1xV{01k4m&k{zVabjt6RT zs|H(9QLL$nx<}^=L}f8frl*5DG{4%H8h;qC2z@O|Vt3h(;r@~ym>vrB?r}5;AHmz! z)d=}o3I~eMi;+X>)gA&6eoWM9>wkZO(5ralz~xF{NcEW@PxqE4P``^p2zkcq-VjF2 zJBrU)A!*yIJI!t1YK^09D&6_saIlaspE_n0fW-Q&DIWU*ZB`eM&r=!)LZP94LE&GE zf3ehSrW7!YZn?oyRBnvTpJdhF8_Xc2EL~IFfd84PT^LSeAdweRE7czrhT_$Z1R*4R zPZS`Rd(z7~#ej8_c|vj#A1~hhac2@hoH(dW#}Jd~ft#ab#89Fi_m# zEEQ4gu9)I9>pE-7Ex0TZN)8kvn(n)a(K<11C@3sYN_K;7pF;tHQc`-IWdJN7ISjT< zy3SJU0;}u<+j<^zYx@_JuH3T_KmocCQzn|{ABYdbgRv!?nE%1U0uDY#q{Flz597Go zA2$8&J@2a#Elz$iw}w(}ngC(X>#ybi4LrXort|T0{pYELPM<5ZYS?v7uqs`8l{(A^ z`-UmOnk?0Gq1h3-0tL^#T_Ijl0`uYiGD+IDV;}Z{xF-v^NxyS6^24=k|H|C%l*Z1@ z*PcDt#%||(cOo?CYi`f2AuFh{{G0noq*Y@AUbyr?nh^DXO^q zY8VIMuKwQdKJaDUh~~-S`fTp-@T5TMTF&W~;#xj8m9<$UdK#1+d&BF&L7ML?NT_-_ zSLjygGe4Q4C+R&#hQB=MVhM+}D=56=|Kk79@8@%M4GZc3TQq*J5pJFdnA~xDbSJ)7 z|9pcz3C;PglJCv0%}Q@ezLow^BZQWHT==S+<;`ZmPo3gMd{4f^WZxeeprJ(za{Gto zX6cqX=N>;QK0~i=iyxm>WWIiR%A=#+bkD8GDu*7oW0~$;+=Nd#j{j`MiYjd2J$iU4 z*8AR3RP^_~8oe4-Mi^^89|}$@%`WZM%+gQ&3GR7P@@Umz$FXDYL@@Q?OyP}T)TEFw z1u%$z7zipBumL&o+o-?j27}B>xQd+F}?)*d-$6r7bidPRba?y2J2H=zSd) z8FIiZ*<-9Qnm(=Pxi%a)0*9zZc;oLj9(t1ydmm1c4(NGH+oPirQi*U|ihHJ9x|K0D z%3ccHB4fziGdWMZ&NK(P!mk z}oygaNNJoFqK z^w9lO-K_uJE;^nT?(R0$0CqVGXD=I6c4+?ueKt8CXJ<7 zjhhYnnZ*8BH1KP+8RuWqeI1~?4S-$U(ox&n1(jV5zym#Jyqtrlmp6c$kLO>j(zv;J z|DmY=epT9`p@AEjB4)^ZUB!qA%SJmpfVfva7bHlstSExFCHYRc+1GiT29#wT@^Hpb zS!MK&La^^>{27jk$)x3LDg#>O*F;JJuhTgU^Pg#+Vp)h;mysjHzM_;W@f_xAGmTXOpgo!r|6t7pj zDa7c+m$bWal5vO4lz4?KWdai{B0`Uo{HdQACvU8u3@7cXU-&hCHQYPvJdzt)Etu^H zTt+8sN12#l8T>^?x=*9421Svhu#K>?+@z=xo+;+2k8?1nkJ^YAa9-&M!IH8yBK9>D z=u*$*h^wq&B(^5|&@eLXGx26N0j+(TBXGcr%XXZz$&+f5(QlwHoo(4*85nwU^esv5 zoD~)MNpuk@yt?eUQ+K;F*&vN)IIzqOw*q0?+WN7=fMs>@B5T+Uwij~)Kh`T?>HDCa znZ?}7^dN!(L1#9P7w%%Y{1A;?;?dw~36T(%EinLDmJ`*9k_~d}_aT;b&0)fiOjc5n zBlez)0c%F^MSxG$ZULNf*gSJ|LP_50(+Er*nH` z*_K4axG$O(FiHapo{*m1nAc&_JcA;-=UoO7RS zF2BBLN%bnvUXw~3OgK}c@N#&u10yGY?5eJ%d$X0U}@qUQ_CQ8A%9}; zkrXF-z9{2Qj48HT2H;ue*iyn(+`hCyio=n&a3vJxpr6UrR1?MHIn-GwdP~0TR%R3XQqJ=& zmyzO{v{P5+8-hY`#0Iw!Id`dQbGoB4dYokAYc;a$iQG&Ei{MXh%{Y>a>84}nJp4o` z#yyw9q}cSku)!iSO;;aGhH)|`wXT;^baVU>5gK}yG!GqeYaXa{$Z!tG3|k;WN%98g zMinoWINO51W~d8mbGCrPrSkS_su7Qw20=*K_Qlo{`1gG3Nb!tbkgqe-ns$bappK&D zk1Xrqr!lAmWp2cHRU3 zqOhN5kG)cyj!? z)b37Flgb3qsL2-VySp|rf{e~C#l#EY4UqE!%1B^;>HiZG>o0)~IZu2~C_pOy$0vUik^4sBrfomUm-}z97v^ zql9N;RS@yaSb>N;)ybS!Tgn@Q2^p2reYNdk93U;k=VLcUDf331Q8z6(FR56ArpBh% z%b0MOW1Fe_mK#g5t75=%_U+;#E z-)kW$ICgtAokFY22HKmlF&PCNh|DpbU66>%*qp#^YHm-7tVj_-fnZG+K zTfT=430HW#n>okHVysL40$FIs*sPItaV`DQ=9SGIi!g`TUNSzxog-7!%iE<~-MQAy zs7|RYBF|2XHQcFp2|1f9;5^1?j#K#YYq%rRHYE++b>N%c&E6_~Th~%f)rq;OFlLO; z+{h+l6>HK4YN}~PY8nn>*6_lXR>k@|d+p;qbFvu@D3U@1luI>_^qMdkRf=Va z?}jFZ^^DXpNGY&t;v0;Ci8`{>8DplSlO@^Xf^Wy(`c~6T$Fs=q5FUOF-j9qn#CNGw zG#}%3HkrMkKv_lz53fP|?ubeo&8j|ZIR(spX)B9?SE__gbQ8%Ek1DT-!K2ov5v!_* zAXt%lGHmEoYrz^P_vJ;5M)LhjV9&{md+2fpQzJvSGv~w2!hX+~V9l3oZCL{|(aXT% z-JDln^xAJ^_f5IUR7d8|L2rBXgGD=|_}Q;kyG24C>b~g-j~MnPCay242<$8r9s5$< z0w_tUgM|dD1E`QZ1Nr*h{G}16zO7$^CvOhODYc0eRuI=jXK&6HgZw!uUCi=Kc%BVX zP34UH0gzY8Gh{WAB!+L@6Uuh_5%;tzq z$ng^e+KD`Y?A9RUwV4wjcNIRaYxDbv`YH^z`q!8kNq{E|ZEoyBT$yZtB`LBl0%GH! zQ>wcMEAISFC@Rrp`7P)siK=WAQJn(r@CBk+=)L3jy+DqWFAYA3h7Bi;%GZP4UCdWh z7RD<-j$|QJAU{uUv3Dh)?QLukV-evF;;AW6T_}j1qT%6%Emi08y~}atL`sWM4H1&q zK9#litW$EgRHD$=LDg#D)6ea>5}NuQ^E|9P!yAq5V@^AgGU_!Cb3agGZhOe{=(u*9>^@V*QSW{-J-rL%pHsv2A)}iqSI5N47nQE7 zM&ZOG;@=)p=XB39KTmCU-RKXl}dBetG6n0m5Gl{$3ab1^U`kcW*wHal+y*LD& zVLeAeQi3>%n&7LeCPGI~tzoxjS@7uw$gRgJ!{cUoN$brJ%?H|PTM4?;nnReufj5}% z3VFXCkEgBgVyRWo4^)a|Vaj9N=E)uSWwu7CZY?&FOyw|A&72aT+fBw{esK;G><-)J z*E{(fZda1@)As)Q(99PmzvMD{lpUOSFDWSazUibhs@38n>h?+=$*3v&*}*4N4N9)xn*`-j zdf@sllT4A`RgR3gypP0r{E!&p_enf|YNw)j+I(hweM3^ZIZ#|IuK*089IKX3Yth3_ zDKAXJ@xP0aT}$*OULU#NxvVlqKqEV|&6vk|1Q^FS{emvPaI>bDD^#V`b&o`|1VqCffweq$H^ zx*YINr=+iCV~fhJ=xS}_4=~~Y@C%rrvTHj8*g$Wgvg-kiI04)MPUvG=Zf@QH{$Go- zwSMhx>jvQeN=$jxvWNHbs1~dRju#p(BSJk4Xkq{U ct$KM|czXMLLcd3-pBCidM5UvXRhL8kFP&o1CIA2c literal 0 HcmV?d00001 diff --git a/papers/maximal_planar_graph_edge_flipping/paper.tex b/papers/maximal_planar_graph_edge_flipping/paper.tex new file mode 100644 index 0000000..125198f --- /dev/null +++ b/papers/maximal_planar_graph_edge_flipping/paper.tex @@ -0,0 +1,236 @@ +%% filename: amsart-template.tex +%% version: 1.1 +%% date: 2014/07/24 +%% +%% American Mathematical Society +%% Technical Support +%% Publications Technical Group +%% 201 Charles Street +%% Providence, RI 02904 +%% USA +%% tel: (401) 455-4080 +%% (800) 321-4267 (USA and Canada only) +%% fax: (401) 331-3842 +%% email: tech-support@ams.org +%% +%% Copyright 2008-2010, 2014 American Mathematical Society. +%% +%% This work may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.3c +%% of this license or (at your option) any later version. +%% The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.3c or later is part of all distributions of LaTeX +%% version 2005/12/01 or later. +%% +%% This work has the LPPL maintenance status `maintained'. +%% +%% The Current Maintainer of this work is the American Mathematical +%% Society. +%% +%% ==================================================================== + +% AMS-LaTeX v.2 template for use with amsart +% +% Remove any commented or uncommented macros you do not use. + +\documentclass{amsart} + +\usepackage{tikz} + +\newtheorem{theorem}{Theorem}[section] +\newtheorem{lemma}[theorem]{Lemma} +\newtheorem{conjecture}[theorem]{Conjecture} + +\theoremstyle{definition} +\newtheorem{definition}[theorem]{Definition} +\newtheorem{example}[theorem]{Example} +\newtheorem{xca}[theorem]{Exercise} + +\theoremstyle{remark} +\newtheorem{remark}[theorem]{Remark} + +\numberwithin{equation}{section} + +\begin{document} + +\title{Maximal Planar Graph Edge Flipping} + +% Remove any unused author tags. + +% author one information +\author{Eric Bauerfeld} +\address{} +\curraddr{} +\email{} +\thanks{} + + +\subjclass[2010]{Primary } + +\keywords{} + +\date{} + +\dedicatory{} + +\begin{abstract} +\end{abstract} + +\maketitle + +\section{Motivation} + +The Four Color Theorem asserts that every planar graph is properly +$4$-colorable, or equivalently that no maximal planar graph $G$ +satisfies $\chi(G) \geq 5$. Suppose, towards a contradiction, that +such a graph exists; let $G_0$ be one of minimum order. Any structural +property shared by every maximal planar graph $H$ with $|V(H)| = +|V(G_0)|$ is then automatically inherited by $G_0$, and any property +\emph{not} satisfied by $G_0$ excludes a portion of the class of +maximal planar graphs from playing the role of a minimum +counterexample. + +This paper investigates one such property: invariance under an +admissible edge flip. We call a maximal planar graph $G$ +\emph{flip-symmetric} when some admissible flip at an edge of $G$ +returns a graph isomorphic to $G$. Our principal observation +(Theorem~\ref{thm:min-five-chromatic-not-flip-symmetric}) is that a +minimum-order $5$-chromatic maximal planar graph cannot be +flip-symmetric, so the search for a counterexample to the Four Color +Theorem may, in principle, be confined to the complement of the class +$\mathcal{F}$ of flip-symmetric graphs. This raises a quantitative +question --- how large is $\mathcal{F}$? --- which we address +empirically in Section~\ref{sec:frequency} by an exhaustive census of +maximal planar graphs of small order. + +\section{Preliminaries} + +Let $G$ be a maximal planar graph with $|V(G)| \geq 4$, embedded in the +plane so that every face --- including the outer face --- is a triangle. +Every edge $uv \in E(G)$ is then shared by exactly two triangular faces +$uvw$ and $uvx$ whose union is a quadrilateral $uwvx$ with diagonal $uv$. + +\begin{definition}[Edge flip] +Let $G$ be a maximal planar graph and let $uv \in E(G)$ be an edge whose +two incident triangular faces are $uvw$ and $uvx$. The \emph{edge flip} +(or \emph{diagonal flip}) at $uv$ is the operation that deletes the edge +$uv$ and inserts the edge $wx$ in its place, replacing the two triangles +$uvw$ and $uvx$ by the two triangles $uwx$ and $vwx$. The flip is +\emph{admissible} if $wx \notin E(G)$; otherwise the resulting multigraph +is not simple and the flip is forbidden. +\end{definition} + +\begin{figure}[h] +\centering +\begin{tikzpicture}[ + every node/.style={circle, fill=black, inner sep=1.5pt}, + label distance=2pt, + scale=1.2 +] + % --- before flip --- + \begin{scope}[xshift=0cm] + \node[label=left:$u$] (u) at (0,0) {}; + \node[label=right:$v$] (v) at (2,0) {}; + \node[label=above:$w$] (w) at (1,1) {}; + \node[label=below:$x$] (x) at (1,-1) {}; + \draw (u) -- (w) -- (v) -- (x) -- (u); + \draw[very thick] (u) -- (v); + \node[draw=none, fill=none] at (1,-1.6) {before}; + \end{scope} + + % --- arrow --- + \draw[->, very thick, shorten >=2pt, shorten <=2pt] + (2.6,0) -- node[draw=none, fill=none, above]{flip $uv$} (3.8,0); + + % --- after flip --- + \begin{scope}[xshift=4.4cm] + \node[label=left:$u$] (u2) at (0,0) {}; + \node[label=right:$v$] (v2) at (2,0) {}; + \node[label=above:$w$] (w2) at (1,1) {}; + \node[label=below:$x$] (x2) at (1,-1) {}; + \draw (u2) -- (w2) -- (v2) -- (x2) -- (u2); + \draw[very thick] (w2) -- (x2); + \node[draw=none, fill=none] at (1,-1.6) {after}; + \end{scope} +\end{tikzpicture} +\caption{An edge flip replaces the diagonal $uv$ of the quadrilateral +$uwvx$ with the diagonal $wx$.} +\end{figure} + +\section{Flip-symmetric maximal planar graphs} + +For a maximal planar graph $G$ and an admissible edge $uv \in E(G)$ +with incident triangles $uvw$, $uvx$, write +\[ + G^{\mathrm{flip}(uv)} \;=\; \bigl(V(G),\,(E(G)\setminus\{uv\})\cup\{wx\}\bigr) +\] +for the graph obtained from $G$ by flipping $uv$. + +\begin{definition}[Flip-symmetric graph]\label{def:flip-symmetric} +A maximal planar graph $G$ is \emph{flip-symmetric} if there exists an +admissible edge $uv \in E(G)$ such that +$G^{\mathrm{flip}(uv)} \cong G$. We write $\mathcal{F}$ for the class +of flip-symmetric maximal planar graphs. +\end{definition} + +\section{A minimal four-colorable counterexample} + +\begin{theorem}\label{thm:min-five-chromatic-not-flip-symmetric} +Let $G$ be a maximal planar graph of minimum order among all maximal +planar graphs $H$ with $\chi(H) \geq 5$. Then $G \notin \mathcal{F}$; +that is, $G$ is not flip-symmetric. +\end{theorem} + +\section{Flip symmetry frequency}\label{sec:frequency} + +To gauge how restrictive flip-symmetry is, we performed an exhaustive +census of maximal planar graphs of small order. For each +$n \in \{4, 5, \dots, 14\}$ we enumerated every isomorphism class of +maximal planar graph on $n$ vertices using \texttt{plantri} (invoked +through SageMath as \texttt{graphs.planar\_graphs} with +\texttt{minimum\_connectivity}~$=3$ and +\texttt{maximum\_face\_size}~$=3$), and for each such $G$ we tested +every admissible edge $uv \in E(G)$ for the existence of an isomorphism +$G \cong G^{\mathrm{flip}(uv)}$. Writing $T_n$ for the total number of +maximal planar graphs on $n$ vertices and +$F_n = |\mathcal{F} \cap \{G : |V(G)| = n\}|$ for the number of +flip-symmetric ones, the results are tabulated below. + +\begin{center} +\begin{tabular}{r r r l} +\hline +$n$ & $T_n$ & $F_n$ & $F_n / T_n$ \\ +\hline +$4$ & $1$ & $0$ & $0.000000$ \\ +$5$ & $1$ & $1$ & $1.000000$ \\ +$6$ & $2$ & $1$ & $0.500000$ \\ +$7$ & $5$ & $1$ & $0.200000$ \\ +$8$ & $14$ & $5$ & $0.357143$ \\ +$9$ & $50$ & $17$ & $0.340000$ \\ +$10$ & $233$ & $48$ & $0.206009$ \\ +$11$ & $1{,}249$ & $164$ & $0.131305$ \\ +$12$ & $7{,}595$ & $552$ & $0.072679$ \\ +$13$ & $49{,}566$ & $1{,}828$ & $0.036880$ \\ +$14$ & $339{,}722$& $6{,}164$ & $0.018144$ \\ +\hline +\end{tabular} +\end{center} + +From $n = 10$ onward the ratio $F_n / T_n$ decreases by a factor +approaching $1/2$ at each step, suggesting that the density of +flip-symmetric graphs among maximal planar graphs of order $n$ decays +to zero --- empirically at a roughly geometric rate. In particular, +the conclusion of +Theorem~\ref{thm:min-five-chromatic-not-flip-symmetric} is consistent +with the prevailing trend: as $n$ grows, almost every maximal planar +graph on $n$ vertices is already excluded from flip-symmetry on +purely structural grounds, and any putative counterexample to the +Four Color Theorem is forced into a vanishingly small slice of the +class. + +\end{document} + +%----------------------------------------------------------------------- +% End of amsart-template.tex +%-----------------------------------------------------------------------