From 90b86c94516a9d58f88b55959bd6f0192f9a844f Mon Sep 17 00:00:00 2001 From: Rushil Umaretiya Date: Tue, 3 Oct 2023 16:06:26 -0400 Subject: [PATCH] finished 5.1 of hw4 --- homework | 13 +- hw/hw4/hw4.aux | 4 + hw/hw4/hw4.fdb_latexmk | 157 +++++++++++ hw/hw4/hw4.fls | 621 +++++++++++++++++++++++++++++++++++++++++ hw/hw4/hw4.log | 520 ++++++++++++++++++++++++++++++++++ hw/hw4/hw4.pdf | Bin 0 -> 155602 bytes hw/hw4/hw4.synctex.gz | Bin 0 -> 27225 bytes hw/hw4/hw4.tex | 299 ++++++++++++++++++++ 8 files changed, 1612 insertions(+), 2 deletions(-) create mode 100644 hw/hw4/hw4.aux create mode 100644 hw/hw4/hw4.fdb_latexmk create mode 100644 hw/hw4/hw4.fls create mode 100644 hw/hw4/hw4.log create mode 100644 hw/hw4/hw4.pdf create mode 100644 hw/hw4/hw4.synctex.gz create mode 100644 hw/hw4/hw4.tex diff --git a/homework b/homework index 8f4238a..24419c6 100755 --- a/homework +++ b/homework @@ -2,9 +2,18 @@ from string import Template import os import sys +import datetime + +def next_weekday(d, weekday): + days_ahead = weekday - d.weekday() + if days_ahead <= 0: # Target day already happened this week + days_ahead += 7 + return d + datetime.timedelta(days_ahead) i = input("What number homework is it? ") -d = input("What is the due date (e.g. September 12)? ") +d = input("Is there a special due date? (if not leave empty) (e.g. September 12)? ") + +if d == "": d = next_weekday(datetime.datetime.now(), 3).strftime("%B %-d") s = { 'number': i, @@ -16,4 +25,4 @@ with open(f'hw/.template/template.tex', 'r') as f: result = src.substitute(s) os.mkdir(f'hw/hw{i}') with open(f'hw/hw{i}/hw{i}.tex', 'w') as f: - f.write(result) \ No newline at end of file + f.write(result) diff --git a/hw/hw4/hw4.aux b/hw/hw4/hw4.aux new file mode 100644 index 0000000..c4dcd01 --- /dev/null +++ b/hw/hw4/hw4.aux @@ -0,0 +1,4 @@ +\relax +\@writefile{toc}{\contentsline {section}{Unit 5.1}{2}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{Unit 2.1}{5}{}\protected@file@percent } +\gdef \@abspage@last{11} diff --git a/hw/hw4/hw4.fdb_latexmk b/hw/hw4/hw4.fdb_latexmk new file mode 100644 index 0000000..ff840cb --- /dev/null +++ b/hw/hw4/hw4.fdb_latexmk @@ -0,0 +1,157 @@ +# Fdb version 4 +["pdflatex"] 1696363543 "/home/rushil/school/math/hw/hw4/hw4.tex" "hw4.pdf" "hw4" 1696363544 0 + "/etc/texmf/web2c/texmf.cnf" 1693368362 475 c0e671620eb5563b2130f56340a5fde8 "" + "/home/rushil/school/math/hw/hw4/hw4.tex" 1696363543 9493 35d98841100097c541cf32767cf3fd38 "" + "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1246382020 916 f87d7c45f9c908e672703b83b72241a3 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam5.tfm" 1246382020 924 9904cf1d39e9767e7a3622f2a125a565 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm" 1246382020 928 2dc8d444221b7a635bb58038579b861a "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm" 1246382020 908 2921f8a10601f252058503cc6570e581 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm5.tfm" 1246382020 940 75ac932a52f80982a9f8ea75d03a34cf "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm" 1246382020 940 228d6584342e91276bf566bcf9716b83 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx10.tfm" 1136768653 1328 c834bbb027764024c09d3d2bf908b5f0 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm" 1136768653 1324 c910af8c371558dc20f2d7822f66fe64 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmex10.tfm" 1136768653 992 662f679a0b3d2d53c1b94050fdaa3f50 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi12.tfm" 1136768653 1524 4414a8315f39513458b80dfc63bff03a "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi6.tfm" 1136768653 1512 f21f83efb36853c0b70002322c1ab3ad "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi8.tfm" 1136768653 1520 eccf95517727cb11801f4f1aee3a21b4 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr12.tfm" 1136768653 1288 655e228510b4c2a1abe905c368440826 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr17.tfm" 1136768653 1292 296a67155bdbfc32aa9c636f21e91433 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr6.tfm" 1136768653 1300 b62933e007d01cfd073f79b963c01526 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr8.tfm" 1136768653 1292 21c1c5bfeaebccffdb478fd231a0997d "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr9.tfm" 1136768653 1292 6b21b9c2c7bebb38aa2273f7ca0fb3af "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsl10.tfm" 1136768653 1508 efecb4a315fe0975509670a272d75ef5 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy10.tfm" 1136768653 1124 6c73e740cf17375f03eec0ee63599741 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy6.tfm" 1136768653 1116 933a60c408fc0a863a92debe84b2d294 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy8.tfm" 1136768653 1120 8b7d695260f3cff42e636090a8002094 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmti10.tfm" 1136768653 1480 aa8e34af0eb6a2941b776984cf1dfdc4 "" + "/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmti12.tfm" 1136768653 1484 ed72f8f5cf654cda15ecc8e32bfcbee5 "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb" 1248133631 34811 78b52f49e893bcba91bd7581cdc144c0 "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb" 1248133631 32080 340ef9bf63678554ee606688e7b5339d "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb" 1248133631 30251 6afa5cb1d0204815a708a080681d4674 "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb" 1248133631 36299 5f9df58c2139e7edcf37c8fca4bd384d "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb" 1248133631 36281 c355509802a035cadc5f15869451dcee "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb" 1248133631 35752 024fb6c41858982481f6968b5fc26508 "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb" 1248133631 32762 224316ccc9ad3ca0423a14971cfa7fc1 "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr9.pfb" 1248133631 33993 9b89b85fd2d9df0482bd47194d1d3bf3 "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsl10.pfb" 1248133631 35022 e40946b20bfdcd1099eafb2bcd9f25dd "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb" 1248133631 32569 5e5ddc8df908dea60932f3c484a54c0d "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb" 1248133631 37944 359e864bd06cde3b1cf57bb20757fb06 "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti12.pfb" 1248133631 36118 fad905eba93cff5bce1e185fe980a177 "" + "/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb" 1248133631 34694 ad62b13721ee8eda1dcc8993c8bd7041 "" + "/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii" 1461363279 71627 94eb9990bed73c364d7f53f960cc8c5b "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1673816307 1016 1c2b89187d12a2768764b83b4945667c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1601326656 43820 1fef971b75380574ab35a0d37fd92608 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1601326656 19324 f4e4c6403dd0f1605fd20ed22fa79dea "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1601326656 6038 ccb406740cc3f03bbfb58ad504fe8c27 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1673816307 6911 f6d4cf5a3fef5cc879d668b810e82868 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1601326656 4883 42daaf41e27c3735286e23e48d2d7af9 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1601326656 2544 8c06d2a7f0f469616ac9e13db6d2f842 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1601326656 44195 5e390c414de027626ca5e2df888fa68d "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1601326656 17311 2ef6b2e29e2fc6a2fc8d6d652176e257 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1601326656 21302 788a79944eb22192a4929e46963a3067 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1673816307 9691 3d42d89522f4650c2f3dc616ca2b925e "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1601326656 33335 dd1fa4814d4e51f18be97d88bf0da60c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1601326656 2965 4c2b1f4e0826925746439038172e5d6f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1601326656 5196 2cc249e0ee7e03da5f5f6589257b1e5b "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1673816307 20821 7579108c1e9363e61a0b1584778804aa "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1601326656 35249 abd4adf948f960299a4b3d27c5dddf46 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1673816307 22012 81b34a0aa8fa1a6158cc6220b00e4f10 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1601326656 8893 e851de2175338fdf7c17f3e091d94618 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex" 1601326656 3986 90961e1e824ee04363a83e4b53cbd527 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex" 1601326656 3937 3f208572dd82c71103831da976d74f1a "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex" 1673816307 923 c7a223b32ffdeb1c839d97935eee61ff "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1608933718 11518 738408f795261b70ce8dd47459171309 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1673816307 186782 af500404a9edec4d362912fe762ded92 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1601326656 32995 ac577023e12c0e4bd8aa420b2e852d1a "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex" 1601326656 62281 aff261ef10ba6cbe8e3c872a38c05a61 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1557692582 3063 8c415c68a0f3394e45cfeca0b65f6ee6 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1673816307 949 cea70942e7b7eddabfb3186befada2e6 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1673816307 13270 2e54f2ce7622437bf37e013d399743e3 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1673816307 104717 9b2393fbf004a0ce7fa688dbce423848 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1601326656 10165 cec5fa73d49da442e56efc2d605ef154 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1601326656 28178 41c17713108e0795aac6fef3d275fbca "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1673816307 9649 85779d3d8d573bfd2cd4137ba8202e60 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1601326656 3865 ac538ab80c5cf82b345016e474786549 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1557692582 3177 27d85c44fbfe09ff3b2cf2879e3ea434 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1621110968 11024 0179538121bc2dba172013a3ef89519f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1673816307 7890 0a86dbf4edfd88d022e0d889ec78cc03 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1601326656 3379 781797a101f647bab82741a99944a229 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1601326656 92405 f515f31275db273f97b9d8f52e1b0736 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1673816307 37466 97b0a1ba732e306a1a2034f5a73e239f "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1601326656 8471 c2883569d03f69e8e1cabfef4999cfd7 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1673816307 21211 1e73ec76bd73964d84197cc3d2685b01 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1601326656 16121 346f9013d34804439f7436ff6786cef7 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1673816307 44792 271e2e1934f34c759f4dedb1e14a5015 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1673816307 114 e6d443369d0673933b38834bf99e422d "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1601326656 926 2963ea0dcf6cc6c0a770b69ec46a477b "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1673816307 5542 32f75a31ea6c3a7e1148cd6d5e93dbb7 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def" 1673816307 12612 7774ba67bfd72e593c4436c2de6201e3 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1673816307 61351 bc5f86e0355834391e736e97a61abced "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1601326656 1896 b8e0ca0ac371d74c0ca05583f6313c91 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1601326656 7778 53c8b5623d80238f6a20aa1df1868e63 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1673816307 24033 d8893a1ec4d1bfa101b172754743d340 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1673816307 39784 414c54e866ebab4b801e2ad81d9b21d8 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfiltered.code.tex" 1673816307 37433 940bc6d409f1ffd298adfdcaf125dd86 "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1673816307 4385 510565c2f07998c8a0e14f0ec07ff23c "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1673816307 29239 22e8c7516012992a49873eff0d868fed "" + "/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1673816307 6950 8524a062d82b7afdc4a88a57cb377784 "" + "/usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty" 1160617237 26750 ce139c05a983e19ddca355b43e29c395 "" + "/usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty" 1160617237 3457 d9077efe6b74c5a094199256af8d7d9a "" + "/usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty" 1251330371 3249 15763257e50278eef5db1952ccde229c "" + "/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty" 1591045760 12594 0d51ac3a545aaaa555021326ff22a6cc "" + "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1359763108 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c "" + "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty" 1359763108 13829 94730e64147574077f8ecfea9bb69af4 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd" 1359763108 961 6518c6525a34feb5e8250ffa91731cff "" + "/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd" 1359763108 961 d02606146ba5601b5645f987c92e6193 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1654720880 2222 78b930a5a6e3dc2ac69b78c2057b94d7 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty" 1654720880 4173 c989ee3ced31418e3593916ab26c793a "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty" 1654720880 88393 1adf6fa3f245270d06e3d4f8910f7fc5 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty" 1654720880 4474 f04cd1cc7bd76eb033e6fb12eb6a0d77 "" + "/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty" 1654720880 2444 70065bddd85997dc1fd0bb7ae634e5fa "" + "/usr/share/texlive/texmf-dist/tex/latex/base/article.cls" 1667332637 20144 d5ecf0a5140c8d8d8b72cbe86e320eff "" + "/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty" 1654720880 5319 48d7f3cfa322abd2788e3c09d624b922 "" + "/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd" 1667332637 2469 24e8437abfd2393aed5f0ac9f00f801e "" + "/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo" 1667332637 8448 c33a4e1cb35cee9b33c2b21033b73e39 "" + "/usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty" 1561238569 51697 f8f08183cd2080d9d18a41432d651dfb "" + "/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty" 1579991033 13886 d1306dcf79a944f6988e688c1785f9ce "" + "/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty" 1668028059 3192 6ba4418fdaf0697f15000d873503aa38 "" + "/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty" 1668028059 18450 88279bf67c81e69f8e3f1c1bad1a26c5 "" + "/usr/share/texlive/texmf-dist/tex/latex/float/float.sty" 1137110151 6749 16d2656a1984957e674b149555f1ea1d "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1459978653 1213 620bba36b25224fa9b7e1ccb4ecb76fd "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1465944070 1224 978390e9c2234eab29404bc21b268d1e "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def" 1663965824 19448 1e988b341dda20961a6b931bcde55519 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty" 1654720880 18387 8f900a490197ebaf93c02ae9476d4b09 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty" 1654720880 8010 a8d949cbdbc5c983593827c9eec252e1 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty" 1654720880 2671 7e67d78d9b88c845599a85b2d41f2e39 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx" 1667332637 2885 9c645d672ae17285bba324998918efd8 "" + "/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty" 1654720880 4023 293ea1c16429fc0c4cf605f4da1791a9 "" + "/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def" 1673989714 30429 213676d4c7327a21d91ddaed900e7b81 "" + "/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg" 1279039959 678 4792914a8f45be57bb98413425e4c7af "" + "/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty" 1656621545 62269 5c1837a5bc5db4c0d255eedc225ca44b "" + "/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty" 1616101747 5582 a43dedf8e5ec418356f1e9dfe5d29fc3 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1601326656 1090 bae35ef70b3168089ef166db3e66f5b2 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1673816307 373 00b204b1d7d095b892ad31a7494b0373 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1601326656 21013 f4ff83d25bb56552493b030f27c075ae "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1601326656 989 c49c8ae06d96f8b15869da7428047b1e "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1601326656 339 c2e180022e3afdb99c7d0ea5ce469b7d "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1601326656 306 c56a323ca5bf9242f54474ced10fca71 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1601326656 443 8c872229db56122037e86bcda49e14f3 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1601326656 348 ee405e64380c11319f0e249fed57e6c5 "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1601326656 274 5ae372b7df79135d240456a1c6f2cf9a "" + "/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1601326656 325 f9f16d12354225b7dd52a3321f085955 "" + "/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty" 1654720880 10214 de3e21cfc0eccc98ca7f8dac0ef263d2 "" + "/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty" 1655066402 56148 51a9a8571c07b9921892ae11063ae853 "" + "/usr/share/texlive/texmf-dist/web2c/texmf.cnf" 1681034085 39561 34c98e380bf7c7201ee6a7909aff625a "" + "/usr/share/texmf/web2c/texmf.cnf" 1681034085 39561 34c98e380bf7c7201ee6a7909aff625a "" + "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1693368379 4623455 fa0568a71dd9a288d6c226ee477506c6 "" + "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1693368408 7880218 5644a8bb2704ddc1060e0c139ce5389a "" + "hw4.aux" 1696363544 195 15cac26600106fc29820619f968893c5 "pdflatex" + "hw4.tex" 1696363543 9493 35d98841100097c541cf32767cf3fd38 "" + (generated) + "hw4.aux" + "hw4.log" + "hw4.pdf" + (rewritten before read) diff --git a/hw/hw4/hw4.fls b/hw/hw4/hw4.fls new file mode 100644 index 0000000..6688771 --- /dev/null +++ b/hw/hw4/hw4.fls @@ -0,0 +1,621 @@ +PWD /home/rushil/school/math/hw/hw4 +INPUT /etc/texmf/web2c/texmf.cnf +INPUT /usr/share/texmf/web2c/texmf.cnf +INPUT /usr/share/texlive/texmf-dist/web2c/texmf.cnf +INPUT /var/lib/texmf/web2c/pdftex/pdflatex.fmt +INPUT /home/rushil/school/math/hw/hw4/hw4.tex +OUTPUT hw4.log +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfiltered.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/float/float.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT /usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +INPUT ./hw4.aux +INPUT hw4.aux +INPUT hw4.aux +OUTPUT hw4.aux +INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty +INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +INPUT /usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr17.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr9.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr12.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmti12.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr8.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr6.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi12.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi8.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi6.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy8.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy6.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmex10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm +OUTPUT hw4.pdf +INPUT /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr12.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmbx10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam5.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm5.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmti10.tfm +INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsl10.tfm +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd +INPUT /usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd +INPUT hw4.aux +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr9.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsl10.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti12.pfb +INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb diff --git a/hw/hw4/hw4.log b/hw/hw4/hw4.log new file mode 100644 index 0000000..0d6de07 --- /dev/null +++ b/hw/hw4/hw4.log @@ -0,0 +1,520 @@ +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30) 3 OCT 2023 16:05 +entering extended mode + restricted \write18 enabled. + file:line:error style messages enabled. + %&-line parsing enabled. +**/home/rushil/school/math/hw/hw4/hw4.tex +(/home/rushil/school/math/hw/hw4/hw4.tex +LaTeX2e <2022-11-01> patch level 1 +L3 programming layer <2023-01-16> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls +Document Class: article 2022/07/02 v1.4n Standard LaTeX document class +(/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +File: size10.clo 2022/07/02 v1.4n Standard LaTeX file (size option) +) +\c@part=\count185 +\c@section=\count186 +\c@subsection=\count187 +\c@subsubsection=\count188 +\c@paragraph=\count189 +\c@subparagraph=\count190 +\c@figure=\count191 +\c@table=\count192 +\abovecaptionskip=\skip48 +\belowcaptionskip=\skip49 +\bibindent=\dimen140 +) (/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty +Package: fancyhdr 2022/11/09 v4.1 Extensive control of page headers and footers +\f@nch@headwidth=\skip50 +\f@nch@O@elh=\skip51 +\f@nch@O@erh=\skip52 +\f@nch@O@olh=\skip53 +\f@nch@O@orh=\skip54 +\f@nch@O@elf=\skip55 +\f@nch@O@erf=\skip56 +\f@nch@O@olf=\skip57 +\f@nch@O@orf=\skip58 +) (/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/extramarks.sty +Package: extramarks 2022/11/09 v4.1 Extra marks for LaTeX +\@temptokenb=\toks16 +) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +Package: amsmath 2022/04/08 v2.17n AMS math features +\@mathmargin=\skip59 + +For additional information on amsmath, use the `?' option. +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +Package: amstext 2021/08/26 v2.01 AMS text + (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +File: amsgen.sty 1999/11/30 v2.0 generic functions +\@emptytoks=\toks17 +\ex@=\dimen141 +)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +Package: amsbsy 1999/11/29 v1.2d Bold Symbols +\pmbraise@=\dimen142 +) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +Package: amsopn 2022/04/08 v2.04 operator names +) +\inf@bad=\count193 +LaTeX Info: Redefining \frac on input line 234. +\uproot@=\count194 +\leftroot@=\count195 +LaTeX Info: Redefining \overline on input line 399. +LaTeX Info: Redefining \colon on input line 410. +\classnum@=\count196 +\DOTSCASE@=\count197 +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@=\box51 +\strutbox@=\box52 +LaTeX Info: Redefining \big on input line 722. +LaTeX Info: Redefining \Big on input line 723. +LaTeX Info: Redefining \bigg on input line 724. +LaTeX Info: Redefining \Bigg on input line 725. +\big@size=\dimen143 +LaTeX Font Info: Redeclaring font encoding OML on input line 743. +LaTeX Font Info: Redeclaring font encoding OMS on input line 744. +\macc@depth=\count198 +LaTeX Info: Redefining \bmod on input line 905. +LaTeX Info: Redefining \pmod on input line 910. +LaTeX Info: Redefining \smash on input line 940. +LaTeX Info: Redefining \relbar on input line 970. +LaTeX Info: Redefining \Relbar on input line 971. +\c@MaxMatrixCols=\count199 +\dotsspace@=\muskip16 +\c@parentequation=\count266 +\dspbrk@lvl=\count267 +\tag@help=\toks18 +\row@=\count268 +\column@=\count269 +\maxfields@=\count270 +\andhelp@=\toks19 +\eqnshift@=\dimen144 +\alignsep@=\dimen145 +\tagshift@=\dimen146 +\tagwidth@=\dimen147 +\totwidth@=\dimen148 +\lineht@=\dimen149 +\@envbody=\toks20 +\multlinegap=\skip60 +\multlinetaggap=\skip61 +\mathdisplay@stack=\toks21 +LaTeX Info: Redefining \[ on input line 2953. +LaTeX Info: Redefining \] on input line 2954. +) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty +Package: amsthm 2020/05/29 v2.20.6 +\thm@style=\toks22 +\thm@bodyfont=\toks23 +\thm@headfont=\toks24 +\thm@notefont=\toks25 +\thm@headpunct=\toks26 +\thm@preskip=\skip62 +\thm@postskip=\skip63 +\thm@headsep=\skip64 +\dth@everypar=\toks27 +) (/usr/share/texlive/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. +) (/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty (/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex +\pgfutil@everybye=\toks28 +\pgfutil@tempdima=\dimen150 +\pgfutil@tempdimb=\dimen151 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def +\pgfutil@abb=\box53 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/pgf.revision.tex) +Package: pgfrcs 2023-01-15 v3.1.10 (3.1.10) +)) +Package: pgf 2023-01-15 v3.1.10 (3.1.10) + (/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +Package: graphicx 2021/09/16 v1.2d Enhanced LaTeX Graphics (DPC,SPQR) + (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +Package: keyval 2022/05/29 v1.15 key=value parser (DPC) +\KV@toks@=\toks29 +) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +Package: graphics 2022/03/10 v1.4e Standard LaTeX Graphics (DPC,SPQR) + (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +Package: trig 2021/08/11 v1.11 sin cos tan (DPC) +) (/usr/share/texlive/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/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +File: pdftex.def 2022/09/22 v1.2b Graphics/color driver for pdftex +)) +\Gin@req@height=\dimen152 +\Gin@req@width=\dimen153 +) (/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +Package: pgfsys 2023-01-15 v3.1.10 (3.1.10) + (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +\pgfkeys@pathtoks=\toks30 +\pgfkeys@temptoks=\toks31 + (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfiltered.code.tex +\pgfkeys@tmptoks=\toks32 +)) +\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=\count271 +\c@pgf@countb=\count272 +\c@pgf@countc=\count273 +\c@pgf@countd=\count274 +\t@pgf@toka=\toks33 +\t@pgf@tokb=\toks34 +\t@pgf@tokc=\toks35 +\pgf@sys@id@count=\count275 + (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg +File: pgf.cfg 2023-01-15 v3.1.10 (3.1.10) +) +Driver file for pgf: pgfsys-pdftex.def + (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def +File: pgfsys-pdftex.def 2023-01-15 v3.1.10 (3.1.10) + (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def +File: pgfsys-common-pdf.def 2023-01-15 v3.1.10 (3.1.10) +))) (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +File: pgfsyssoftpath.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgfsyssoftpath@smallbuffer@items=\count276 +\pgfsyssoftpath@bigbuffer@items=\count277 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +File: pgfsysprotocol.code.tex 2023-01-15 v3.1.10 (3.1.10) +)) (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +Package: xcolor 2022/06/12 v2.14 LaTeX color extensions (UK) + (/usr/share/texlive/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. + (/usr/share/texlive/texmf-dist/tex/latex/graphics/mathcolor.ltx) +Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1353. +Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1357. +Package xcolor Info: Model `RGB' extended on input line 1369. +Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1371. +Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1372. +Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1373. +Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1374. +Package xcolor Info: Model `Gray' substituted by `gray' on input line 1375. +Package xcolor Info: Model `wave' substituted by `hsb' on input line 1376. +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +Package: pgfcore 2023-01-15 v3.1.10 (3.1.10) + (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex +\pgfmath@dimen=\dimen164 +\pgfmath@count=\count278 +\pgfmath@box=\box54 +\pgfmath@toks=\toks36 +\pgfmath@stack@operand=\toks37 +\pgfmath@stack@operation=\toks38 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex +\c@pgfmathroundto@lastzeros=\count279 +)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfint.code.tex) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex +File: pgfcorepoints.code.tex 2023-01-15 v3.1.10 (3.1.10) +\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/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex +File: pgfcorepathconstruct.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgf@path@lastx=\dimen179 +\pgf@path@lasty=\dimen180 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex +File: pgfcorepathusage.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgf@shorten@end@additional=\dimen181 +\pgf@shorten@start@additional=\dimen182 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex +File: pgfcorescopes.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgfpic=\box55 +\pgf@hbox=\box56 +\pgf@layerbox@main=\box57 +\pgf@picture@serial@count=\count280 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex +File: pgfcoregraphicstate.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgflinewidth=\dimen183 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex +File: pgfcoretransformations.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgf@pt@x=\dimen184 +\pgf@pt@y=\dimen185 +\pgf@pt@temp=\dimen186 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex +File: pgfcorequick.code.tex 2023-01-15 v3.1.10 (3.1.10) +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex +File: pgfcoreobjects.code.tex 2023-01-15 v3.1.10 (3.1.10) +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex +File: pgfcorepathprocessing.code.tex 2023-01-15 v3.1.10 (3.1.10) +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex +File: pgfcorearrows.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgfarrowsep=\dimen187 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex +File: pgfcoreshade.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgf@max=\dimen188 +\pgf@sys@shading@range@num=\count281 +\pgf@shadingcount=\count282 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex +File: pgfcoreimage.code.tex 2023-01-15 v3.1.10 (3.1.10) +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex +File: pgfcoreexternal.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgfexternal@startupbox=\box58 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex +File: pgfcorelayers.code.tex 2023-01-15 v3.1.10 (3.1.10) +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex +File: pgfcoretransparency.code.tex 2023-01-15 v3.1.10 (3.1.10) +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex +File: pgfcorepatterns.code.tex 2023-01-15 v3.1.10 (3.1.10) +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex +File: pgfcorerdf.code.tex 2023-01-15 v3.1.10 (3.1.10) +))) (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex +File: pgfmoduleshapes.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgfnodeparttextbox=\box59 +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex +File: pgfmoduleplot.code.tex 2023-01-15 v3.1.10 (3.1.10) +) (/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty +Package: pgfcomp-version-0-65 2023-01-15 v3.1.10 (3.1.10) +\pgf@nodesepstart=\dimen189 +\pgf@nodesepend=\dimen190 +) (/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty +Package: pgfcomp-version-1-18 2023-01-15 v3.1.10 (3.1.10) +)) (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex)) (/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +Package: pgffor 2023-01-15 v3.1.10 (3.1.10) +\pgffor@iter=\dimen191 +\pgffor@skip=\dimen192 +\pgffor@stack=\toks39 +\pgffor@toks=\toks40 +)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +Package: tikz 2023-01-15 v3.1.10 (3.1.10) + (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex +File: pgflibraryplothandlers.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgf@plot@mark@count=\count283 +\pgfplotmarksize=\dimen193 +) +\tikz@lastx=\dimen194 +\tikz@lasty=\dimen195 +\tikz@lastxsaved=\dimen196 +\tikz@lastysaved=\dimen197 +\tikz@lastmovetox=\dimen198 +\tikz@lastmovetoy=\dimen199 +\tikzleveldistance=\dimen256 +\tikzsiblingdistance=\dimen257 +\tikz@figbox=\box60 +\tikz@figbox@bg=\box61 +\tikz@tempbox=\box62 +\tikz@tempbox@bg=\box63 +\tikztreelevel=\count284 +\tikznumberofchildren=\count285 +\tikznumberofcurrentchild=\count286 +\tikz@fig@count=\count287 + (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex +File: pgfmodulematrix.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgfmatrixcurrentrow=\count288 +\pgfmatrixcurrentcolumn=\count289 +\pgf@matrix@numberofcolumns=\count290 +) +\tikz@expandcount=\count291 + (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex +File: tikzlibrarytopaths.code.tex 2023-01-15 v3.1.10 (3.1.10) +))) (/usr/share/texlive/texmf-dist/tex/latex/algorithms/algorithm.sty +Package: algorithm 2009/08/24 v0.1 Document Style `algorithm' - floating environment + (/usr/share/texlive/texmf-dist/tex/latex/float/float.sty +Package: float 2001/11/08 v1.3d Float enhancements (AL) +\c@float@type=\count292 +\float@exts=\toks41 +\float@box=\box64 +\@float@everytoks=\toks42 +\@floatcapt=\box65 +) (/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty +Package: ifthen 2022/04/13 v1.1d Standard LaTeX ifthen package (DPC) +) +\@float@every@algorithm=\toks43 +\c@algorithm=\count293 +) (/usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algpseudocode.sty +Package: algpseudocode + (/usr/share/texlive/texmf-dist/tex/latex/algorithmicx/algorithmicx.sty +Package: algorithmicx 2005/04/27 v1.2 Algorithmicx + +Document Style algorithmicx 1.2 - a greatly improved `algorithmic' style +\c@ALG@line=\count294 +\c@ALG@rem=\count295 +\c@ALG@nested=\count296 +\ALG@tlm=\skip65 +\ALG@thistlm=\skip66 +\c@ALG@Lnr=\count297 +\c@ALG@blocknr=\count298 +\c@ALG@storecount=\count299 +\c@ALG@tmpcounter=\count300 +\ALG@tmplength=\skip67 +) +Document Style - pseudocode environments for use with the `algorithmicx' style +) (/usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +Package: enumitem 2019/06/20 v3.9 Customized lists +\labelindent=\skip68 +\enit@outerparindent=\dimen258 +\enit@toks=\toks44 +\enit@inbox=\box66 +\enit@count@id=\count301 +\enitdp@description=\count302 +) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +Package: mathtools 2022/06/29 v1.29 mathematical typesetting tools + (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty +Package: calc 2017/05/25 v4.3 Infix arithmetic (KKT,FJ) +\calc@Acount=\count303 +\calc@Bcount=\count304 +\calc@Adimen=\dimen259 +\calc@Bdimen=\dimen260 +\calc@Askip=\skip69 +\calc@Bskip=\skip70 +LaTeX Info: Redefining \setlength on input line 80. +LaTeX Info: Redefining \addtolength on input line 81. +\calc@Ccount=\count305 +\calc@Cskip=\skip71 +) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty +Package: mhsetup 2021/03/18 v1.4 programming setup (MH) +) +\g_MT_multlinerow_int=\count306 +\l_MT_multwidth_dim=\dimen261 +\origjot=\skip72 +\l_MT_shortvdotswithinadjustabove_dim=\dimen262 +\l_MT_shortvdotswithinadjustbelow_dim=\dimen263 +\l_MT_above_intertext_sep=\dimen264 +\l_MT_below_intertext_sep=\dimen265 +\l_MT_above_shortintertext_sep=\dimen266 +\l_MT_below_shortintertext_sep=\dimen267 +\xmathstrut@box=\box67 +\xmathstrut@dim=\dimen268 +) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +Package: amssymb 2013/01/14 v3.01 AMS font symbols +) (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautomata.code.tex +File: tikzlibraryautomata.code.tex 2023-01-15 v3.1.10 (3.1.10) + (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.multipart.code.tex +File: tikzlibraryshapes.multipart.code.tex 2023-01-15 v3.1.10 (3.1.10) + (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.code.tex +File: pgflibraryshapes.multipart.code.tex 2023-01-15 v3.1.10 (3.1.10) +\pgfnodepartlowerbox=\box68 +\pgfnodeparttwobox=\box69 +\pgfnodepartthreebox=\box70 +\pgfnodepartfourbox=\box71 +\pgfnodeparttwentybox=\box72 +\pgfnodepartnineteenbox=\box73 +\pgfnodeparteighteenbox=\box74 +\pgfnodepartseventeenbox=\box75 +\pgfnodepartsixteenbox=\box76 +\pgfnodepartfifteenbox=\box77 +\pgfnodepartfourteenbox=\box78 +\pgfnodepartthirteenbox=\box79 +\pgfnodeparttwelvebox=\box80 +\pgfnodepartelevenbox=\box81 +\pgfnodeparttenbox=\box82 +\pgfnodepartninebox=\box83 +\pgfnodeparteightbox=\box84 +\pgfnodepartsevenbox=\box85 +\pgfnodepartsixbox=\box86 +\pgfnodepartfivebox=\box87 +))) (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypositioning.code.tex +File: tikzlibrarypositioning.code.tex 2023-01-15 v3.1.10 (3.1.10) +) +\c@partCounter=\count307 +\c@homeworkProblemCounter=\count308 + (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +File: l3backend-pdftex.def 2023-01-16 L3 backend support: PDF output (pdfTeX) +\l__color_backend_stack_int=\count309 +\l__pdf_internal_box=\box88 +) (./hw4.aux) +\openout1 = `hw4.aux'. + +LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 147. +LaTeX Font Info: ... okay on input line 147. +LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 147. +LaTeX Font Info: ... okay on input line 147. +LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 147. +LaTeX Font Info: ... okay on input line 147. +LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 147. +LaTeX Font Info: ... okay on input line 147. +LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 147. +LaTeX Font Info: ... okay on input line 147. +LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 147. +LaTeX Font Info: ... okay on input line 147. +LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 147. +LaTeX Font Info: ... okay on input line 147. + (/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +[Loading MPS to PDF converter (version 2006.09.02).] +\scratchcounter=\count310 +\scratchdimen=\dimen269 +\scratchbox=\box89 +\nofMPsegments=\count311 +\nofMParguments=\count312 +\everyMPshowfont=\toks45 +\MPscratchCnt=\count313 +\MPscratchDim=\dimen270 +\MPnumerator=\count314 +\makeMPintoPDFobject=\count315 +\everyMPtoPDFconversion=\toks46 +) (/usr/share/texlive/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 485. + (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Live +)) +LaTeX Font Info: Trying to load font information for U+msa on input line 149. + (/usr/share/texlive/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 149. + (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd +File: umsb.fd 2013/01/14 v3.01 AMS symbols B +) [1 + +{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] +Underfull \hbox (badness 10000) in paragraph at lines 159--161 + + [] + +[2] +Underfull \hbox (badness 10000) in paragraph at lines 194--197 + + [] + +[3] [4] +LaTeX Font Info: Trying to load font information for OMS+cmr on input line 248. + (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd +File: omscmr.fd 2022/07/10 v2.5l Standard LaTeX font definitions +) +LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <10> not available +(Font) Font shape `OMS/cmsy/m/n' tried instead on input line 248. + +Underfull \hbox (badness 10000) in paragraph at lines 248--249 + + [] + +[5] [6] [7] [8] [9] [10] [11] (./hw4.aux) ) +Here is how much of TeX's memory you used: + 15659 strings out of 476091 + 318610 string characters out of 5794081 + 1867330 words of memory out of 5000000 + 35765 multiletter control sequences out of 15000+600000 + 521802 words of font info for 68 fonts, out of 8000000 for 9000 + 1141 hyphenation exceptions out of 8191 + 102i,11n,104p,445b,326s stack positions out of 10000i,1000n,20000p,200000b,200000s + +Output written on hw4.pdf (11 pages, 155602 bytes). +PDF statistics: + 108 PDF objects out of 1000 (max. 8388607) + 68 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/hw/hw4/hw4.pdf b/hw/hw4/hw4.pdf new file mode 100644 index 0000000000000000000000000000000000000000..51af7854f870f33ecd9e5d0610db0546256372e7 GIT binary patch literal 155602 zcma&MQ;=xOx-{ChZQHhO+qS!B+qP}bwr$(CZ5wypIRAOtE8^^Ws!=hXD!84IYyTLQ?$H)1etoq{0I@m3_3qs`iOfNiGV;KqSNk+;jqz_LC+1_G=mWhB<^Y|Dv!wl? z<6#=PZ=e)*m^K_M`y$4Iv6MzEM1*)0@!b?(Fzv0**LwlJew{3JHc|!QD=}_@IRo=e z1^PRxcpvR}NX~Bo>jMB~YG?BQ?(d)7|9|(4tp5oDBPT24e+$C0maa20JBrV2?OH}p z6*vuvt`AcZ`i9VXQx3{N6LVjXB->E6G599ooc?Z+?zNcfigg&Pp}QoGwAY`T<@P-6 z-0oTTm#e+;`~IT88>YD)#Imm5shSy@B^cxhxOrx^kLc=AkM|}FB;xOtQS)6IvEaf9 zet7Xy;z6yWy?mZjst;WVL&1;ndVD{N?v8=xP!I$Ye)zPrgXAf_`6@O(HBRgW?%A5LT`GjeordcDW%ls&(!htXY=HIusN83T|!Stj)GKRkQo*Ak{e zj7nlFBgl!Ad-479pbu$yp z>z4&5JbqlcxoTQ*RE@c?AXBc0Rc@@9s?z3-9`0<&E6k)2g|v@+ftK|tOJHjA8H%Zv z_8l-_l0v&{RZYv0OffW0GFl1QkVOy4@iGS5T~qAYQD_U4Cpl%WV@l-U=S0j?`=JxH z_#&!~%V@jW&6={O>G7ZQOp#J4$=Jy(ZiS{@SqoS?L5{S%J7kJ9}3`Q?`D{7gtc~0xKfnP zil3-BOB7}~0nQwy`ReW0+X7reeG5^M2=M&<-D2qbi|$+y{5$G)tvqpvH-`e3-Yoqa zs`X_nX6DNa58ho8qPj+lJT^%0g%QF1>XYzMQS&AZM9fgd1a~bz3j}%=i>3ifku+Ae ztjr+Qq%9E`Gr2MRVBJxc)!6PNTorJpd^#~gBz|i^QX0xw$fpdZMT&7+ z`I>7zx1hBNB72e5lkkUfz*=6?HBBi7aB!$XZEDm&qMio`(FDQLko`RyFK$sRaBc}} zr0FP*n;dpUPYNd@N%ZiWJo=&Gw+)H@xNsD#${Y$ob#Q8z$NtSU)fp>GmfDwYZ3Nq+ zz$u0s{X1ie#X8N`wE;yuA1mV&T;teuDk-l>v(^PC9fw0AZE{L6O=nm~pZTYM)sQo> zuc>`gJv!Bnd>Cm@ipJl1i6qZRPtvD_&&s>&RN)iDOP%sOuMW(rL?LQcm=^k}1L51{ zL@I}n=Kr+ccR20HAcYx^-EHNFltF7JCki2_?DuJ#aa{N5UhLWNFR~gbd0X{%sdl?ZX+=ucqu&hFl+vBP zj&Ab;REd@VypHT%zquYeK-HcwFg83u1A0y?9NqvMBsV$rcL5RM9=f8FE91(o{KjG{ zQi^TgSdY~71@Zw;CqPA*mt5f(PMxkTyugId70wUOP;C0lPF_xVUBC zR=Rdyjaa$>tE~0`TQ&_fU!ktZu=vkGzx9b2Ac3NgPhQfvLIP(@+20ANj@@n5LWDKk z`PQzEc%|Y_-K#=_#kNA)TdBDxj^-#)7@~@6DmQG+a>GjLfzU+X7=l+6)QbXJ-5fqQ1;tVq0Vv{BEaZ=xux$e~Cy}xq#jUwws>~dk)LCBfNCy}|4{rFa(ONPNOYtjPDDC>d{mrW&HFgvldB{*2 zOJ;i>|KQl_`^|I?x%p4IXZjb<#mM%*rtAOqT+^D;NyzL7J)i0_s&t21G{q}k$~qE2 z0YoT(&X5l2y71QKtHwrNj`z2Vi6@qmv#coSUU-?Q9lbZTourvtBrF~~UR+nazGSjS z5vuu#`==tpg&_pVjV2sYe8u*+=!fIFetod=yYh`5J=ss-G~X+y@n+xhgK2Sj0Tw>9 z801qL$v6DJJ`HUn_D(2$9v|v0IGxl9zQu_>(~qL>2dZj1r~A{LU!I&9sQa8HIN}YH zKLQX5Kb%=7m3(I|Y`w6zq8b5K)_snkDDKUHueJIxg9ei6*gK!bYoE2Fcf7J1b7@Ej zOzpWZeBOoQ5P7{a6#FYA)cjVN5ZM7_ZsVOhySyEXt}x*Y2&F$EQQ;v12yhKrJ6Z2l z@MPZ?zEaRMqw7pn8X>*&N0%na^irA~q?1fUAr&U5#}K&`My%|1!6ap1vQn5BY06L^2MAq&PIT4G<$^feDeCibw40 zP74~bf0G8bX&$q@<#?7*)y{~n%fSUG850X;0{ugwB702Er+&TletQ}jW+3V|u4X4$ zQ4mS{_jp)W5OG=OOFeG`iHL%bi-zgAJ)*HOtM~zI7swHdGst9CjBQPrBuQ$~y|EDu zA5l9%gpbbWp8S!)SRG;tf(ce`*a|4Ni1G$yF?H-J-@KBlCA%Ga#mqpRE+?Eoe zTJ$*qRapiB&3qs`d!nvP=!HS;5AuDde+~-!{9ZrK z)X4J+y}6w>_>;47MH=eladZ{H-IQ#Unc{O$5MZX1gfORvVBn~v6n~aSZMofn=_%Qi zSh3~G2O|3ptS)O?rFL+d9IlhLUTwLaE!hV}_m=GKBMkV*ha^$;_#&M7i;z3jaNe(m z0vvCxP&~czJ9Z(eYGXMYd9*Q$;09*WDBf7`X@Iy~$;nb%f@E6T>l`VA7{eG!kAkgy zy=GTA`zSO15U*on7Qi((f6YtH*PBX{W4Yy&U-fw(v_7Ej^$Jd8dxP%6@Rk;3-Vrl< z;s^UG0D=y}=Bm#7m19Lo6=WwbQC-_{!m9QCa8%(Xn`E>47`AR}W9rfd4ee9KuSC(x z(9*5;HFYt4(Q>@ZOrxlpoQ^}L84(y^r9ay(JcJM^4H_-8&;!qCB`HKgk9ntidry&S z-x!G-iAFe*kQs2Jv2HiU;w&6snZ~iV&Fk&N;9N#kaPmT^t&R|635c``0Orva<$oDJm=UOZ-7`aUY<)rk{+F=GK^RCWx zAUq&+E^Mw0SX`bJx(EWMVc@u`fv7y3*h36g9OlgFl zQ-aK+OTznSv}Ezo;l2bV>Q6^H`DH=f{y*`~udWBY$QK|2n;zc`X7B6AcRz&XF39(0 z%JgR5ch3pk#!nAi;KGmtztdyhPrBoW$Pk|Zy+XRoqd*Y=y4pXy7YBIRjEkP1eOKtm z5Lp+mkWai>rk>e%=MdW>c}Jcz64DL}y?FJ|(gKQf1nu`})=pt_XGx)x{-*s-GsCOs zsVdoIn6JuKw-AhzOE6CCA zgRxjCB=#l}goKMb14X{(z$={!NvLi$H+7w8&F!QtM7PjbM%&sitajMoub1mBk^0lW zY$SQcJOBVxLIO3EobQn*qFCv}hXZ*jaq7e}MrP+r@|OQ8Y78KFK7eiYoFrx>u`X9t2u-}139!97mk5mk2QS^iHpyz&-_<-6!QMhg;Ct6)_0Ge%^NQCRJm<9ei$3yPj zM+?+d@F$odTDJUE#-W3~9}_>T16VN97z9jr`Gn#_sdNW>5hXMjGz7JnmX;VMWbC#~ z-_m5mEG}Ld8P`wo87wMeEmDw*DL!EX72^iay8*v)r=sY#{6b?wc>5TflORBYv6(ASy}L8^1ib0!Bkjp zV}EK_d({}Y&@V?%|FiR0W}l52l<$e2|6sUNg*FwcP4RE}km$Mv1RkMT2*kTNY5Sxy z02?&8d0q}*%dV;qgNaYwkxJpMlGTR!h@O^BmsBVZoJ8g6xr?_G0Q(SwAQOt;n_ z>v>VFY8w-c8nm1h;?(_o2H17@@NPlze093K!SYIH>NWNU^1f|l0`l>-gj zf(`P6-f!Mu(pQ8Qd-(f5)G^oLt6pMX!Zr81w@MXfc&ggqPS1m&5T$b6&288RV%eHs z%2PE^%msX8S8!)xPqEX%*Qs4hf(t!;Kn@p#SFyQuU@k8BzHgzgX5>_Fx`AUX#F1oD}ACGO7VlSuNCa!05 zHvEshcWZNw)n{%}b0z1}4U>VYt5?NsrN7{VwNK>#gQ%&!As?8T{04(`=OMfvX$&CtR1m3$MCa9{#9aACBA}yK08y zurD`MXW43`DKR7YWuJ;9f3Mh7Y_>aTHhz*{DUbEVQqN@vsC3NkUFXrG16BcWzg?{k zUoFCT=tIFgODUKPIWc>^3PwWf`H_;G4Mc4MTM>s7OVp#;oB2&2rE|*yL9%ErCxt8O0(5Ttc}c*bhli)cDyzEnD`V^)_|URPk5)`bBV@DdZb86+PTA}}Z^ zxSp~LGFm$6rfuG~Q5bLXzsXxQ|NIWY4+`AY$bYy!Kruv2>Dz889U@ z0*ebD-<+;E`r z!4mQ{7^N7YN@P@oFBTLK`NR=@vr|6wr}9fCeBg;5SVpSsJgh|~(gY4a1b1qAaJ}1Y z^6Wzz>#kmYHESaO>XR$2!gak@K#T{eiW7a2$|m_J1m1MgSpc`>a|3?INjL75+j|Oh z&tjMyv+rtxkwbH!a8#dK!wB$WLyJCzQHtOitx<{v-R++Iy*#}MPHbVAIKZ(Y3 z0fvl$TsC>f?#he=3iCXVySP)yUaTqw?b99qEoHoaH;yI#0k_hzru>)J_%As)8w1;a z{Tg#r#_cv4{&|hm5KlsYXoIqPp4RhiwsT+>2ie&;7!fVuYl+g53=glkk;%y8w)0O! z35{Ls*kOgVg=fxBj;Ojci=0~V!^!gVRzYSs)5Rnz3{4aBSi4Ps3|$?GPJni=QGa>3$sn@m0lJ-kO)g-(SpXmcdMisE$RlnorR6g_?|)0rCXQmkO>KCWRyxYb9gc8L70f%?O&R#muyn2= zhwyJGlUnS)hCvum>o&ywxs7il8Y-rMmnFEwf~pjekYu+6iVZV8!B*i$_po*hIRznX zk(O2}rER^j83#9W%A>|9)_=iJ0X7IdUyJVLp{$U0rovk6sx~ry zY8s}xHFP`HtwJ-%l8ei6(2nk}LD$z-T#Pv^`ZTSX7S~!{q#Obk{8!5agLANs2FG{s zqyJ6IY2pD!o)zbi)7 zD%18^3@E*i>KYrvI1X2@HZ~iZO{Ut-vR2aaw(!v$kXjNf`H?TXv;A{|sce?3NwmFj zyQ7WM5r8v{z`{xFv7f4%AmxboZ=VW~$?KHoGX< zto>#$pw;CDq zz;9VernDV&b8c}Z+hu4$oi(01_+xNWZg^Hc1cZA18toVT$nAm=>f24(gRSZlKC_zd zF6z}v4Dn)rl+JS*%3-;cWOi8=)*&|XctGVwq9IzfWa^IqA4||Cex;{oAsIupJ+UL; z-5BT|4tdX_u?c&;;07_ftVJbsjN$g#7dD1sUyMinLb2u|{srBC5jPeV_Wv5)Y87ew zB?g3^Q}yT}QqCdk*){9Gyaa?A`9LHaD!j>fGAo-RSHd=dR6o3O+4&??n`#GU)85Rx zgAJTpz+tcRSv*=*$pO)((mFytfHCu zn@4oL8dVChCm{r6GAFHWhxU~ncg!>N1d;rkr8e?RKO?BUE;TpUc~?CS1Jr0OrY?z@wowmXf=hki2NBj0%WjY7wX}0B*BS@6@ojmmRSU~ z6~X|r>tRZ3haDT6w#y_I-Uqt(b&wS1Q7u|>mAGwP`CYKl%n@A@Yi$tkw02b z5DPhEbmrV7Nfu&M@{=NiO&O&1zLrS8!Y9PsJhEiR(5YX-;JnR3afg{FtbV~(<4p*& zK0(`?Ss-%R=?9o^z0#Dp8jYNX_)paY68{no|Dql&|1=@~XZ_#m5u>bYy(xg;y;`er zHVJt#dE=um4FPGp5!y1RQ2;NA7wlawYfIg1BJ<-j%QfC67Tkl|*~r{ji8w$n@RqEL zy1w50Pa%qZK;Rxk&0jULh=jt-Vb-p7+Pi*=d_mH+m5RMU_XydDz8$4%3O_2V(Yhe^ zB!Yzel-P^?$8cW7kxT@La=o=7=T<+GH-BUkA+zVcSx24lPicV_`ZL!uqN&J2r*~np zQQoEM+VMbx=Og#Cs*^!1d;B~g6ema9=TC`*LBA#ZEFao>UbGQ@z(UVh$bv$3!>4$# zX4Ni$(>d-H*AkS9ih#xd%V)xVWh-%i3bN!!3<@ziQlxYNxYy$Kqcb03?D8P(hR6Dg z@r%V20lOHCaT+AyJ;Z*yqZt4XK_p`84XZ)TNDsafIyCQrw+I;#3$DvfoCC$pw&0QN zh7~(}7K4!l)lC<#=H*htGkAv+FSa4!Y>AH#eI$gN!TQsvozUi;PY26qd#{&z)dZg} zz3y6zPqUu-#TUS+` zQD#e0e%i;8KcYOuzWCDpk8ecW8=NRs)Oiv>>r0KV=eJR=`_9?q@ri!Zoy!|aUpTCI z+^cW_^d8L)giZ%&x{B)kaTL6XJHyN+D8DLcH*{#BtJAXx>Vkp|+W}8d3S)}>=dH7v z0MPlYJRk9*y+jX=CMX}G2vUurm^r!x+Md6N!tv#%ZoCyH6Y2u4({hFQh4v^3z z3)ZgB`hs)%Q*TH3`mu6-2;EN(A3+`pQXi(oB~!l+O>6~3^M{Fk0C$E+h5s27Z2u_^ zj0B7v%xwQV|HVYW$jrpX@V}q`IEDY+5-_r`F#S)(;=f>x7f=PA%@t6nqJG>!;iCTS zZQQ_4;lsJPHsr0GJvoO}gstsB5Vuzl2)H=n*Ieh`-&)Vw4y#wZ#T5+e>2@pS1j8(62kPxW99 z42y#Yvm^#b4`>w-PJknwYk;aN05v*3H9I~uGyrU9=vzM^K?6Sj;E1edPJskS0&ph) zE@GvKARONQl~gr4`^&FWQ~_f#XoKV9W3xAATmmb25bdlC4geHcohttqd+N-LHNYhS zvlRjK*oEQ#*{Lakmsm2m+!eS~0BCD&g1w?-proiUXyCq~{;xOz zWN!00?VgCNh~}J#bM3yoC0PKaLMnhH_7J~IXEtDM?hX!SPVLR_f`s=tCi_jAa|1fK zhE{N{HV)#Se)$0`7#6QhH~EuZ_|+A_qno{Nd=tZK1H1b$7-w~HGgxqIa`pVGpzvVw>U|L@xyEFJU*MM`z9@hM7 z0F(H=zde{;f6_U}`ez>V?)c-PKt=WcN2dvQILT>0J<VL9Ed!0;iX#@avde3^U7yT$Yzqf%|{NN#I_x!9W19rI3A@bk<{!`ZB z(45-AtNP8`{GLtz_0#mxSIN{m0uY?vPBcYrMdp;j9HmcTEP==Hnm1)uI$}7rtciV4>B{q z22cUx)c$pB2EfqN)cA?Jwe6U)*{y*;ZO#2!1og(w{nb@k=!Y@+8BMP5&Z&dMusMi$ za~-n}N8X$MV2eEwh~w|X=$kqMaPp7_?232<)$s2N_sgb0NB7sff?w1R$L^!~(I1+I zGf4fWKQIJlsQd}q@wWOUkOOEO@k6}TMoscVp!Z+D>J3jig$=mcIru9`3#U^V6Qbx5jP-$M4|l^!XRt)Nk7^$+z@OmJT{K!<~NO zE=7A=&`-);OJ2=ypnc%hPk@a*D9>-f$H@~=;P1pwo*bhyXwdG>B)|E4b<9uDZ&!AJ z0DL~?!2-}&H2+#DU)y($TJl_uqrH+ts+Bx-OzONBix zyX_1}gNufGp83<;U%A6mIi92`()r>~yfKEq2i2Y9XkPrc&1&T{CtES{5w%g`Fg`(? ze8ShXu5X%fuVHSMj!&U`aX2^OZTrW2KSLfKvffVoraTS~m_-I={zB+zrfxNznq+Ho zi#Ae_0^b2mfIHm56)GD<<(WpsOB7jS8^1ppff}@m*bCV`MPbFCPdY_WGvthLadE6C z1`D}ItpqEs<}LWEi{IQQP)V4Uplc}5;eR4cOX6;O<;#vgr7B`MMp@82E@8V)m{E6` zHUu_<-%&c(E^8m3i9PQ2sO0%Fso3$zbhCN=&Ldl~=B+D+d-@?W#n>;7V0SZI4ZRHI ztxkS0rwArPsY5;05~i7H(pvhN;%skaiUCVls~-$%e5AzwNj;;vKC`zy)abejonk#E z9Klp#5+eke(ql}d+@9Doa|w`UKAI+-a|gk>4y@-19B30I7M2_3*-h}+EHibtU-kDS zLhKtlPcY=N{d!Le3HHQgD^d`Z&T9+?tRu={b`MROOOWCjGhTZ(N2)zT*^UPK+GiwF zzC1e2D1r|t@!WT0w-TLxVJfL_YiXP_08%GV+ES9K%lxMH$hWc$l^(b$q35!z{{;Ti ze`e1NXw9(Q5_9pGcTCc!BDe;)=p6VAjNr}Q(y$!yCz>3t623SVK)={cF;O2}x5Y+G z_ua5qM&SR6MWgLNTXm`jC|bvB7b;NgWuOztubjHst`~J>LkFBpCHH;zL!I;ZLpbqz zE`M>-iVd8RKJ8>a#aiZzbaN<&aY?Yn9n=ldky>~hV3`HV8;$9dPHMghHyfkT z)XJC}_0pDYrDjeEiM(VgX&Re1(I?Zvm6AnW?y6?hT z;c?M?@n1<{rbMGV>n5Y0QDv;;a!;~|zqBEl*G@d&*d4S9-1IN-q{B;#lsd!xX*T7R zw?v&~2IrPaHOw}^(Unmi<0{o{L`OanvY{o(mpK zkiv`{xcjkMA@#G2cYDGhe@r@v{_wgHi&2l5qi@HEWB4%C_rjY;8jY*VJ%kE$%wRRq z9V{Lj2W*^;qeQHofrYY#P(x#X90f1V&&1X+j_s1S6R#iP(R8<}q0FIT*LV_5_GpJm zA3+O-6Q49dCb~et0A$tp1bqXtm*Szvskvt}1xJZ!kK^HX24))RKQfSs<>M>}4$j56 zdqZXW)e~4|e9e54L84%XVQD(a+gvjU9jQi`<#AuUeBJe6YZnM#UcKy;D7!$|(8O(= zAup<}>KP6k%w=>883G7@gqT%2x2U^KEasMBM*3k#vW(L>_2>I%=&tV#t1w5TWwyyg zak}IP$xx!pyqr3w1=uP1l&J<;UUwOCPja5k!)=NH<8FXr+%3S;%!WnT3t?w%F|~Wx zj>Lc0J6!+Ze`HxQ_J!}ZWc7}+9ZAK}ED88f`ma1sqVP+IMlToy3MND&*>4)nhCJ)m z0daZX(66TsNtKaw{*wF@pEC08D_+l0--yhM6xe;oKz?t0$X$Xz%3tz!5EyzK9w%gf z`977H52)`FOaF}51ba43kR%kwS`>h0Wcp9!CXIeZHK2Nd?>MeJfsfQ}c6W(qGx0u& zP>fA90w(hv0i$Evk+{DA4zteM)*kHngwh&rPogD!gR9z@GFlf@Zl5R7qyMG0+s{;b z{3ujw`IFytVznmwM1zO1;HGfSfR65R+W{6qoNNNAvL)rtncuacN6g{7wc#fO%yBn| zByECkpN<7Xd)(Izr6Xf8r*X4Qvs1f>g6U@>9b@G~H=upbWEy6=E{N4>IHbH<^=wxw z*v6dL9v;U8vv>(&v>pL#YhP46g2eAALj4T`c;(6;+-r}Dbb$nNl3G_uBFk*%ZE&Bx z&Otpm8B@}h5VQ(Z*Joc9g6wq3A8OE{^Yg+-}jvCT8(h@#SHEE~c_$9LS4C66m zx?Rq^n5Kj}P35&kbj^Sc&H6}_m`n7wOjIE*kbW}Z>HBp}y`Cw-^H2DsKl0uyyLlO7 z_VGu9dBSx5)-{Lbg|nvZX3fN7Oy_x~$QTyom#(`rE`q@t>Q;P8^;5UML~->B)FZ=Y zo0z-|Rh4s&V1U((UJym)H$tT%491+CxTf?4z{8qR8hHNhlb)rL>jmoBvj~4!v8Kh{ zp>vnW@Y3mCWmltRx0E-8okX~|`8t}IRYnJ(mcA%q5zz`k-;G^sz^jZUj#668jqw5s{Bbi^*3Rupl!`4bS#^oX=Z z>82-JMy6d*Off;6g$Hh;yr6O%p|_xcR^PuIfk%XQ0kD4!`RQHS6D!Pua5e-{*%8bi z)w_gwm(N%J8AX^eh`g+u4E!}uL``?liS4gd4@@R#x~n>iUMm|%qVFQveGu#Oa$ioyA8gO37&4gSDOKzQjlk&IzI zTt#7ksoSLvIf^{6v5<{*bHO=SKf{}i-$FSGBk+AEowwKi!!X~L6L7a4$`kHu*`~C^ z1|}MU%uZyj!dA9rb|uO5^tYVrno|o_3(rHwB1j?Wb3Sv^crX>7ln!~+5h-V^s__o0 z@LBgQnOLOgysw21gD@0bwW-ivS$%IOrpNn9Hzx4SPJ4pHhw>f@UIpjHywGcwf(-ut zRywGCDL@yigtABaqrnSg-(cZtK1@-EQ(EZg>V~%G8x_)!C$K?LfCxwSgdQjwuXOhB zP&VU6#n{LcH9T&~jzibTGEWwVg`?u;_oPxf(h^j_;XlP0dKuyrj|e-m(JU*k@~A5QM6wEkJM7tokdrcy>^yc|iUN5EkGtBUSc25I5c3Si({UU*)w!gh zSmlUyd{$;BdE(w##Yuxsces*IPJ#>`5GSJjTc|wyETf&#@b8g7RqByd{yh${a334O zYlX32)~G!+`cy>idJ=WG-={>grp_d$-f}hXdMK=*(C08`bnC;awT^10Mqi3b#^KQr z_69O}F1$OKle!Pj7c~uL=gF7aAuDkh#R@d2cp%A*V1Oo6@Z1;j!KC5PtEy+GzD8=B zfmup1px8$?AJt$moj;9#hztm1DJyc80JjB-;a(S&rXC6%5tVX^G8vZDt@G;3ywLF> zc;7Z(OMza4w;}^yHFw(`bHqz=Ga-Qf&S#lVY_D^y%=-nqWHD#uO23`YuWSu!Iwc=9 z;`7x?Dho4kQ-MA!6_g;*->Wxwl3W)Fls*WG9dhE~5#t;0zJ7F2oBcB{Bc@6`I%*yLk;0|urW z6pf1$>h)CC0Lul0P znE?5?8X-#=ooa|va9_?tDxVD9l zc|qlIEDG&-ud);0-51M6Qx$@n8M6I>S^VsbXx1!ZXr4`0cH#7``}Kl z1O=g22p?z(?vD0scv2|d*POCDg#S4FhMRIRmV6VE%m6Yp0(95)Ix8AZMeq6qy^(p7 zw)Uvv-ZrJgT(n9z#QvXAUCW#nwr)Upjb26jz4dC>B{_B`_+&>mMiMb_B;K9*hrZd| zmqBtx+Txd+;YtjMseq4B+R~ygG#Vz*oCYqfy5kROD$+3*b*|H6QV8*$tmiGf#Vbe@ zi$mDqLq=2lM7c?v=EAzkE_nPv2+E|W&hrqplOAcA0u15^<&s~k(t1_Fs+t~9$s}Rv zjV}^Pdy5{SsU8!)Bxc3QQYhHlVzF?udZ->#U?c}N}@ zV}ulD$d&L42G(USomsrCJ15&}718MuE&cn32(N{RdYj3bK_+OcP{Z%xkf=&oK%bMJ zMgJ7BYoKf@!y1vfC6C?Iruj)vft|&`Z&RfE+m04xQf{Wq^^&Vu^olrVq{nMcuxP{h z*3Joav?hGH?OYC`zf_(i$1LCE&+eU9y?4SPd4Y$D{R$?GeTxywKVtBMx2J-YQi7I; z=i(`lY+G8xqbM1$yU4rK1EjwgwiuWnWTlj{hrO2FQI)OK+J&T41P{*+Kr3sWY=h%w-?LhF5BdmqVd@n; zP0iqx`6hydTZ$6(+r8?HC#~^P$5SouVrR<|9f2D=^8iZlxUy1g24nJJIk08Q)@m)V z4K}qip37LMbUgB_F?u#PBMT~iEYLbv0KPG;GlM}H+Ektn%(VNSYP=C{E63274hLR> zYuQ#z6ethv7HytOWBgS2FSXNP@sD?ge)rHOnXQS1gHOx$Ht>;jJ{*PQ2Z;AiDvI2W zxWjD{xeG6zo8t52&;uR7ZM z$-+_g>6}fvyoQ_^?ZQf*D`q7vWV;>M!k?(%Z2lyBqr#kmB2r1)>Wj4h42Nx?+m9jh zY2Jz%Tlr@mPJZDy@tO!~2{q4jm_jxo*sotdfdKfR@)!!D4XM8YkNPYErnqF_SF?gT zkPv+k#KjZZU~WPeCGVklWk@c7lv;EL z<)sSy(|C)--`RJXayU;GaH!&+8A`ZhqJlGakJWv@9GI;v!U9!b@cXwM`Gv6`n|!)`NyHVR<#^f84SFlGAnP}L+s){>%rdEXK$;hQC=pq!%Z&4Zk$tJpVh3XgeLdL)VnUhcE zg@rbKZfF>_YAtPQ$ct|l=E!r0&3u^l;y#~Z-QrGXp_5rTRfU`Am>k>*%cTXiX6|{f zmTwRVS@iPc@z9}xTCK@Imx`=fZJ1d^O5Q~tv>!>)FGnoKGsYAWx}{fyoRUj6%3M^G zVFnVN4;b9N@OcHk{^)#Ia`^@7+KwiiOv+G~(ILq69$8jjs7pc`cLCN)2A$4|s~rt2 z@!U1f`(bZ(puK#W?}y6ceRIC`0M&4m&(-{$5UyqlV>e4eO+vh2HD}RL;gN%)g}qR1 z0&|FskWCt|dg3s${+N>$lVPI#r~yWm5E>MM{F6wNbinCPys>>ku*fz9mMQKU)gknH ztM5CWQfU3Dlun${ZX=jVCY1k_Y#5T^F?e_cZ|*_%=f%R&>^>5ealM-`l%~kl0Ct-G zW+%U=5WU)py(=ckJ5^mDcRcQe! zW6aIjjq3%|bPbUd^lptUvM(1Hl8HEb2OIk%PCTN?`G^^^)qbhF3?;g*6J*I3nKKZ(UP~l99=|BB<1dkqxV@dfr>OIq^C?~$0 zuC`F+LR&l$r#ZM`l$N^yTWeY*sA{5t*+y|oBGtqVLRw7}B_~zfn@ObVw3g*tgvL?m zpk{JJ^mA^SC!!?S#|vwz3*mv)ws}$N(>$4tBPt%AZ!M3zFkRd%C~t)xNN2sJgI=YJ zc`knH3}_SOp%oc>JWCadnfW`JqWI!0DcADsF@u|KVK>8z<~=R~4&AZa#XdZJbNW$q z7D|?{liRRZ@*d+m?`CZ*fr%H~v@Jk9r7o9I3U6_#So4$iTMzHx>CcWzjaeAnAXW-2 zbBKN*B`=afR3gwugUQay3k6qB5akL348x{mQ7-OEZtu%GW5XOIq+RvJcl&-pS*5qD zO3qa4I7xyx!NY~f!c3c$U#ONrjmM2?yz)54=o z)6ush^IoSWO|?87^2fBNcqJaW1*?+yfnZZ#&o;ogo?eo>yMv^E3{b$hFI~9hkyIAt z0AgW7ye#U1pAA`!FSx(apsG7v5azyTUdxk*DUW#S`^zHmpdNFD#8v=;MO9qs&mR#x z&6CbEmyvgO=m?&k;w218-3AWu0x@FTYB9yiQce~~0vY1}>EW~NK9KIdj7kav3V*?L3NDWz!&3cSz)Cx^>1#uO_4xO&# zJ_ix)yWk20et4SsPSiGTo!;ej1gm5@NU2cqF40|hBn!DdU!bWB*U76>h21M)Tp za$-r@C1IEwg8?h{lkI8ThD^YIhi`bGdnv9ksA_)Vl_W3BOq>E!V)0FJNxc-<0a z-|XC2Dm>Yk9mFs89L|mz*VMTaZy$6!=ZF+hqVU|KZ2#e|EB_zg=mL77jawp{eeH_r zHel9rAOQ7#tO6FMZD7<_fZeRLi$?h@jc_kY{y9Y;8$4uVnEp_|)8~X(=cGCf^OU;mZpRH4}5?#l#}SVne~GsSk?3 z)>>D88oxkCwsT6g-Ekt%(l4b;E*P3F-j67sEb2mle@jkxbfk;Rnta%4`7i@Jmo+aMp$zZn%i> z&0;CPY2n=-;(<#x=Y)6Yv>TOsm(BX;KV(mx_(h|s7}slWROQ~dB!6#lwpUe7QG&_! zs}Rl zeia%iv!_7ar-Ej&&WfR@nG~P0B`(HAVp9TB?hAjlA71UE-Z$#t!mr|1 zcfHE^=f@j@UvK9DFN2Z1x6EVpr!Xvix&U*Wx#mf(d<3BzcCD!FP6^;yK^HvVAcNX%4xUt(Mi+vO1+%+_=Yd`QA2FatPO+t2Y24XPh}w6N_Z>#HTI|0c}R5F|n8fF;~Iq z+6sXxhv5M7fM(k#%pd_s8WP|3;~Zd~>BVJvnw@D*EBLQp9no;iyH}XPLfoG@gxMegLi_ z{J{epQb+;nA+}!4-@Qf0Ok1h3K^I6GhNVm>lIQ-w-^?0O2xIIZf&N7j-<@3?y2waK zrPx3)Fqmad*HcwJFdbtqfo$`jW{)JX;Hn=kh~XaTjOF7yzN6=28F6>+$D9|D3>> zIi=ltQ_dOPiKY|9qG!=_rAe4VVz9@*R#5rol<&&*n6va+9mQu%)#?MLiKbqt47G<0 znjYW;yRc{T@Oyc%qoJA=fQZ0i7rU^f@iGbN-WMXY1+jpNd8sg)Bak~G2)I8rF+GCi z5cumltGYws02%AsG}skSD55(!;?D~EQm%N4YDbUuA9zlx*dmbpG#vL=IH-wRNSmzF zMlKSaAcz$T8puWbHj7gNfL)meWsZ;4h6a0k_P%!~ikQ*7bo1Kffb}9{u{ElvQFTDL zdy{5?w9NCuUWJA)VK}r-kdq=!=)C;g^|$sz6PBa6uZ%r7v$WPnDoV-)Sy-~ISP9wj z5vG*iqd@NJA3uoidT;_5v=#Ak5#O({+20D0B$WU#zJZn*1Q;`nq$i-Eot%3QNL+ zfaZ;YdtLc#i5u06h{th$PXnO`V@%h8S;6+6h+Q>9Z_-G!5H**^l}Io~P*ipqvI5>m zBJI7gu`lJes}O%(SL(9!5yPSBtB=>%x)gi5FX4GZCatauRNECm=Puu2wz9#s*!PFS zl!eNd2qWA%rAuz#?!7O+BLrt6PV}ZEeg#_jJECW7$1>$^+4;x-)xVGv?nCdnsyA^F z)OOl8&Uxb5ajOwW7z8EoNw<|62SI~1L>R5RhX$RG_SXZtx`bmHx0{_E7*kVb#&gh5Qwfro`n6vUq7`wKv3I{K8$U%WKooUo zU)*&kO3($blr|U<)?~6(O$T+R?feZ~WLk$^AvNY}ET&de7&Moy~^h43czRD8j)b|_>pt1OHsp~^7pyBe9Hd}77zj`P-6_yZ+B2Vz#E z-3C;vI@QmYI_LBy(Z2%cfTtlc=a0lZo-C5&cdQbQ4L*915Xfjb;yz-$f12eT(E80r z<87^IQiM|5Qv4Iug$0=yDp-wIH^*>4b#gU|k@9zH$f6-tYU(d_1K3P-`jit^4>1-h zv|aHjx;C@%s$~W%S)-7}yix8S${uRqEH9YljaLh2;UZTO2gTRXPQRXaTMjD|5r4;( z`9EkO1Me=D2%y;XjOe2(w~5T5!#`H?E9zedl3O;d2QF(zeQgBDav`oem_jUEm<%)L zR~2~D6ay0;bSqVPB(7&E>ntmnE|E|mgU7}lpo4*rC$z&M@)B&;(=j*Q&Ly(_)Jh)< zMSd3lv~Y##+YK}c13r(BIhG1m(~7nPA;^;2a+6S+m`9xr1$!jqEtxvH5DZ~Ih%or_ z!Pcx~tZNsYk3tua#09#n`FyIpMk(K@x>uN=NFRx}sb}y(Z87jKYuAV(fawcof@-a* zZ)w(L<$>VLJpSIfl+8F>D-ZW;li(2xAy0~5pasG$OefRehW@DNchezd8h(T@@#WuP zo!>RK-F($5sYSkGyQ)y0gv3*6%7TKqQ-Aq3fT&=*3}YMnh-Nj>q}8z{c-+^1MeZs& zl+HemuGY*MUR0I7flYg4XG%s|!`~PL=*lKXMHVAb_XtLgZE46F<59Js5g-E6t;#`g zNV{tE{S%0oQBI0l6uyOVH>Acn&p)LJE#P2oQ(JF1=g*TA{bKJ;*G@jQOJv{4tz+Lr z*EG zDEX1}9&O*f8$dje7`xJQn$@)(k5qaK9b`Z03W2FIz}P#}L12gb*%UqOuL{W;v*VJj z%es83mi*Yjo0(~iHn$$hd|vCq;|Omfz8L&^>=lCB#!l^(3^I9kcp_~2#TaZ(==>l3 zG85%QA7|z?c@^OV@s-tjdFSXV0%ftvq4m9H_p*lqE;9*6s9M!GC|{1(vy_qS>#MGN z$^h{CslsS>qNqXH!r1HqM0*>TIj2aR>%ytg6&z#aUF-7G4^0Qf^QyzwTt#)NK%X}n zJ`eQD^Y%y;Uckb9;$u`O&W_s@UV$ZF1?Mj4qFi%rxww3+P%cHqvmwqkS;5@}tau-i zPhf!9Xo5TD(3iemnmr}8je(zAC-Vl5C3-7-vcmp`?i zEPDBmt(+nE|Nc79bP*QO+`x_b%RrODyaJDN&=!3k(dhgY);(u9mOqVE1UrUNV1(&2 z&kK(H>buBZO&tW0f>VoV5WBnhls2J(h_f-hH0a8>%`|46eqwKk-HcWW)sayRi6CzYFDM?kXj4WDgLQb|hp>m%Smjw)X z@)5t1|K!tmwyZo#pp0%&l5GX$o6yFxY^J{Xjs)i&v({&joU>42k@VBrgU7QDf?Us`W3r8^)@)bei`-7b92p9Q*nrosg5slJiUInshLA~MvnGxhNRsMzh2 z?JjqGxqf`jH&%NPB`Zrsx<~<)DI_s=J<Zf|%UH-jf2n7-eWco22*oK6@C9H}r{CaCgBD!IXsr0!mN1ddd=t{lpA zZtz7rw?EQGMVS$v_TiO0*Y9`3Zq}2Ohrx;VDsc=LjwY)R!DfLf`I}e-V)sJhB(NH< zs+JDiIPnzSv4m&|($$MQ%xIE5N}&n$+~rcsvY5zpAj`1M-O+p9B9DD*@*d7x5=%(Xshif-HTx>D2esbs28 zet89r@@&gBGk+wH1bV<2NZQe8s1XW5skX3#filVW53&_A3`DIS8d8L7zYXvh z^`aC|<`-&zQF9yT>!c0h9WWGK?(TM^AdF#bUD(2at(744i-(n&CVC~6Szmr+&}o_u z{3%>H;P=0*5#|GA%zF7(zud=WQ-`dYh55Ni@KEE;eyt=8&T!uD)Q2M3`eizHf3{(& zIT-2-7&FlXK)G0kusvpTc6xAoRQ>(k9wvlx5>b4enXP}Mx}*hxM7_Si@R-eg_4};$ z+(O@O6YroFOh^T1MtkUp%IveG(WOkndM5`>JAWr|JAp(4SJMAJ5NY5GDB>Nkl6+d+ zq-asn?^6mhd>3b?_tUvSZk09d3^RT^PMP{#HoM`~^r!4G`wBBrQmtN&w-8Bkc?Zzu z5czrEN@|^!P6ZCtA@-*9*jEgs7%Lf`JM!Lw8OSOm3S^F%V;0xUMyhab3Jv__e_1Cm zh?=#_SA%^-7|_qyjJE6Qv3IuQ$%%-a0XOrn_TRDRzlc`&4O}pVri1`N4IQ5|yUwpZ zVd32b2*kE$&_>s&N-R~nn;wK$%L$RDZ@Jg8=Bkm$ck>_(n&gO7^VPfaf4OhnWIBFi zo32FdtQi1a5&kTRsma5j&=MytnG5v7^#TFg+?dg;W_!l+&{7wiQh0nAS*OG{cZp`t zrv*ez!WqCZbXFN1apZl)YUsUofChPck82l%J>F;p4V+of-_+dMM$)adT)8H@{1pQEkd0)RQu#1E6RdWdg3`z;vIP7BeGVhbFk{VaLbB|B z%*ZMHzWffG8>0ZO{Si&xlc^<*cNZ1z*fN{l|1K9rW-rjp)3{&=SMhxiV zq9DLip}fWNJ5uG+WU^8IQ{^~Z!9DmL2nE-*tgub#SFXx42UZ`KLAV0FO9r=gjlT=y*7 zlvJZlcP6r*-PdGRr-Rqa6JzZ`X26JO^5~W2J-5C`@ zFP1}n(Lq-Ua4r>SH^&annQYuhr`? zKJih5Eih%5n}um6hKtj$a2hfWaG_#*LpgL1>DRu|a0M;^cER{#Gnr!_^5{bX_=PCzr>+WbQk|2eo@Q+xB~ zEOXdy@K8;%TFR7L>&apAx_*N!4D8{_2}wsFDjqTv=(4i;=|1wy%?{M4Z|~y?%;z>& zHMtRAhFg;Rvo->nkB-|@4wpDVk9kjhljX-+-|^752f;S>yz=I#n|I8DwxzMi%#WZ6 z3A_;jA|dDwv>VjfY^}w~aSqp_MQ|P3Y zN5ayiInTWtnzj?^Qmnyz3&!lPVE!?M{#vlTiPV3;bdKt&ZyBJRUX2= z{~TCfwThqCH*K$EU31fBP>QovHhdi)N9GVS5DFt^aG(rK{ILvvlqPm*!0_#PcSl>N zbfioD)jeW}e*Daq#`pT^JndgUpDb#Mam|`%6YY`13C^H_9kGN(nf1wNF}F#guZqhL z#T(h%joZwdD$N9X85dUUm8w2Xfd`E;7Cof3ok4}b|rKHm#($*Z-F!Bi(5%sL;B_SL6_`B(R}fpJNLP0f*X4|+Y>A?ab5LVSm%;gcK2+aOUA z6?bJpla(t`lU0KTu-R>4i^fZm+naaXEv@{xXfDw_9s~lu@%KvhrMF7lRxNI>zOx?u zSqphM;{Ub2$jXD{lM?ekXa+*`NMcS!=Vx$Dd1j=npZF}t>-;`(e&)*?I$=8?4cuuU zZ5>`4X0S1vDi=F}*uc{CZPyA5(ZfN2ZGwGhvkaDQ;xSFg>kEe|7a-_{(Kj3p7!qup zpxlk~r-NSOB!?p{eD!NHhb3A5qZ3QkK^|uEj$)~TRu;E2;gr+!q9xrTOb?uSOMLaD zh!pfg)ZiSXyBMn|M~7g}tp>2ht*HtgIf6C_7gZ^zDY437XDHjA$dTOA{=-6OV zfVh=unB9o0*)h&BpM=sdTZD}UFlXR1v~z)q_A8}kzGsEib}-!ETW>pd+#}efS27~U zS(rre)@6(RSC2{O79j~^+EYB(Mto!;E{ETZ#D$)ehJY`o;05=OKXzH`+SB4s0Fe16 z)c?c9g`M;N;#>b?89CVhcb1WngPr4l0gV3#%gDsZ#ri)%*#8ffu?1WaZw-SE2JCeY z2M6}%rvE>fk#$Z`WKr-CNf%`c8YS2!e$Sq`trH9yiL6bgPQv_TW~%#Fqgz8&sJ45x z#bt#bp07EaJ*z0C5L|Kw`C?*Zc!mltUOk0*?*PKl`Jv9m*|~6W@iI`4_}}l^{Q0vW zBW4|`>YD+a6&BRlhiMXU2S2hJem)R62UK7*WZy8u6gknZ2`T*`G{AxYEKt`m!aUfuw;D7WA#P*6bNN{(m`2VWQKomVd zgnr2?zoZPozuY*1=-q327r)WJd62O_BpBxw7Uuh*p`JlR?0{Abp`iZJmk!)qoKL_2 z30M201|eaNmU{l=}TsxV3m z+nng`>IfvHr#BbyN&y-kM4LCW9er3k*&M;`E$H_XQq`|WbGd7x+0Ny3Cfq+`Pb8Mn z%c=0^DZrMUNCSwFf}#|t7YXPH4#-P;!}*K;-{CRX$Kd$$<`-*7ZCp|zYTt(yTs*@X z&eId*_9*xn0!Z7ymS7M6ulpB=@aX}FW)PhoFa{AWBieV~m4bQvbKcwekCCB5Ak%5m zR~t}vZ@|xw=|d4CjRfV;CE*95#uPCX106ZT=)>w*08eod9v?8jtuHSSyFEWW5GH0E zl3-vQ>fYzB7i-{N@5kO3g*vkJH5AfE<94abhr;AdfK}jqEw~ZLmj^xDD8+Fw5a1W; zn~j37^mvh>=GUVA7y040^kG-)r&joPH}+_YC|=+T5P);vlP^#U&MnUJ_ z#ak2X+;8zk$d9fbmBioW-w!msAcamM=;oj=KY$@7R~^Ne^naJY>a$e$r|I%XpA`xV zX2H=F_}5<>$W}Ky`}fdigI?yd^mOo8Dk-2%P+{_Mm)tBrHCDa16_6E22o%~MsDGBN zpnPz02>Ry8S6zrc_K1iM%DI*wTcbc6Si0{Eyb{a!w97HU0JRtYZubES?Fh<=_9FxW zgs|M3u$QE8NjL<#H}{PT&Bqk;8b}k?8(r9F?b6MjZBTDO7iS!}2dbzCk(*upK@_ ze%11{xQ6uS>URjV+(`lb_6P7*62()Dq4*iC%qx=()o>R*e>9S{LvEgwt)YFF_*0{1 z&4N@-Ut_XMGpig&{8L*iHht*B+$x6G8j043R(<97k!z-O$Uj2 zlkzozyr zxY0zS!^hFVC3&~Ppwx?MWJ1QUDQ}l&V7o&t$XS*TPSYb*Wc8XgOO3cGSnu&uIKtQB z{|3gOowvF5{@4G_Ud;piKynnU1k&zzdM!VJ_seT#?+_QiOD1ABQ21N<=4Bs^r*TM6 z_>W>mh$p!3Ir4Tbofqx7@V-5EKd5bn6K@!Z&M|&6m0JdE{cEq#KfnQer?8uo*GuXN zEVyCYak)Y{g5$-cbz_uo(lAm?WxhH~BOPk@G~11RTll0}Iz|YU>D+xlT2FC^_;?da z+x~iMc0|gDFGCr_6J^k>;!Y@*co`&RSkTa4+LIns>rf}_v493%dVhW+GI87kOQ4#% zxC&)QmNGS#Fq}HwyGv!b{EZc&ASHq8VB%}2FfV--dxoFae!rNscPBLZpJb zPCYi+IP-bk)r&i$`%ZvEp-2>D{v-$X`PS^R>{&_xm}s z2dC2&xNzs_lC-&+F6yd(Bh<2{j;Rhih$UB2+w zkcQxS#f;$nCAidf^VV4;zb}My%|}HA%g7w4I1I+e-7b{RDtK<8u|1h`Hs{EX3fsgR zDYq=a671KPJMW?O{0Zlc3gfo(^udlR`%X6JhjFlB=s&*<>0sbVT~89Kszf|svF?mM zpQ80?+waj5I6Bm-4n$#t1OR}U5`RY%g(tkLItmsKO4;`ssRRP^1X50BW1F|HYwFLj zubj6-b#Ml-NOqo>tUbKy@5fn0M;os*Qj*e6B6(TJ4qzG7qm>-MBzgXMI(BR@^~+67a717^{OxjTV$AQk)8&Ad7jGD5d8$EIFRB5m0^ zINyKg72Tk)+zm16bO?71gtH>vN)0U-sRmi(xD3XjU*`U-E8z)^bBO{ho{2Y9g^u>8 zhBjKczb>>^Yza(7yc?oZ*INvDkqKBod$?BT4 zE?}zB_Z~Iq;#v9ApbNC~qnn|oaMY(L&*6sti=HSDbq;hDvHs0QQ&G)U>#rSnQW5B? z@hskT=|UIyBT9UL_D;(V(ukB=f8IKF+g_`4h_}$M!%>)_>sVKDl=%Hf;8ds(F-U`A z!bBQ;i6ef8z~eO5gg}HH^BDPb;PEwmbT7pr9Cl;e(vV{g0qE9uGO}JRrvwO_ifs<5 z`!*J|(?E0;OVatiE!B^vLo8sA<(U~!>W%nXJM{VS3D_COiwG`cKNPf(9NGg9Y;p3* z(%VWZjsB6}XC-pX*eYA_)!F25c&b;}s4YQsc5+d|2wF8x8A%Z!nL>VpH58eao{QLN zIl|2espgt+29OLDo`PB`tN_BNZpJm1mTOI*`;?*;iTixG8msL5xcf6zE973%wnT)* zH=TPM4g+ImY5k$t3zquK4!&*qCJSy%4PR!K5&P1N@hZ(kDXg>Tx(^aI#NC`HD~TiX zj*M*P_iG&oK~taMp(|KMs2tZ`d!$!Lx=ISOJABM(v!*XY2tSs`b)rRnPbk=NwPg&M z=46qrD(UC@+3V3v{U+u%uz%n6m;b9%% zx21#LOjZ0Vu| zDX_nc6`}}PE|DljL#o1|8PhVZnC*EWuGSuW-Xsq+qoS%++dj?V4lVnnFslmWnI*cM z60&`I9jdn`o%LtL@HGkalFQ(`$8Xo~3S(Y4d}i>>h2QIM*xu4J@5HUZzKrI)D3^tx z|LKC(*-!eP4p;es#$EehBc!e#z5=oLq1MiGsYbL%A9&+hC1zDj*}7C*TXU5fC}X1UGQ4y8sQRt5oE7x*dgFgxv8O?^3V!tD!4m45-51=1zic zxffK1#VY*#k!9tDopL0Rcos;L|g^O(D2KY%N0NFk$(WyNy% z*_k0oxTrlqE5L38aB(62{*WROiU7vT1FDruN5)`F{om5t+dqUgi$#0I@fb~kEL6!8 zg08W>5I@q%_a7I=ifIVEc0uqx7wp2HhO;#-DeQX7IfbuGUuZ?xb;L=H`=t94x7<1- zDmvtKiviKf7x90*T&`91U0`k9aFDGX|)sc)}6roFcTK@wkU~d+_ zFa8w+=f_6xPp_#ME9Pp}YDOFt4T+n<8>#N4fGrzad&W<$K%?sc=F6KyX`@bdFa>%F z>sbV?nH;^`Yhg&Uc2laWwr8`I+6&k7cPv`|7>)l6Urm9FBg7T$Gfmm+zudY*ljPbj zCBO9qQ_d6n+r9bkdbGED6ibr8k%lO?Y0U0OQa9zcOsfE#(o(mZ-pkIuzJ*D|0~*!F z0w>|`AthNSN)+<6<51ed@bJ1tf`DO(S8R*S8V^A!o=5R5M7J3>iLbambcu;Ib$aTUi0}#sA>8(UE1PyT62}D&B9k?y{ZO%shxYN&ZZ_767r-}FV8l9P( zE)j|7XWCcb;kDcuSmAuE^Q*ZN_whUHdl;tZRiZspYR@^p>RYo(DeF;P#1R95w=Q6rvu9JiU!I`H&&UvKSMhEf=KdGsAA+aw&(ZA*c zr~6RPH;XUcV&67gudv&Ge$s$gpfO_ZZi>Wuxog%Np)&kl1K?cN5!QVaIpN@PKGBYk z|6U2N$lQaVD64D&?OFlSSD_rxSV44->B_BuKtu1%+o`ek>wl&RFjeWeIFcIaf7HWo?#b4MCs+toeBh zjl`7y1&QG51gtP2rJop5z&88Jpke>5h<=NGo>1SDRAfu@uuTJ*_K}eEG-)%RzUc=( z@lVKiA`pot&yA0r#64kOf;$p`Gb1jpvPiL+xF(!P-a`Ih#tPBNo|Km3DJ(3cWD~0m2uqPS?FRZ>m^k9PaimDy3 zu2*-k(`^4C8G-{?npt{T33SNPoqEaGFhx>?_vq;e<{{ruo)lGGv*0Q>lG(b z+-J_UjQiNHlE41ynWXp7%Smf!i!sdKHhy7~NiVUxI7x^%5He>^xkPMFPzC}E0L z3RM=aaUtcFS=^uj6v9JNURLB#tFCAxF9H{8%H%dEW7c=AAayF=$$T_xQ#v{An3OQv zhcdR0uliD5ED#v8MFNoz{4KN#=aPDn`IIMAiuqxja0Wl*%@ZGwEA$kjKS9dG4j(5g6b!pxZ%A{{p z3)!X+FD>9>z##w9DPNwH$Kz6g%ip(y;t%E~-G)p`42zL0>czMe(5vqu0qOO?*eC^M z$ER;t6kjOVqo8A1T>cJJb&JgqoTP(E*zxKCp+$XtVU@tQl>)~m&lTDaGl#Px9SiMi zq8c(I0ykKp9jV~ZcOQ>OP}%R zeL#3Ps)W>Az`RK_OkjWjeoGD{0Y^Bs;StCd3tsyY^?lxWKB!79hSvH%n7(WhA$mEn^{e$9jN;I|| ze9A{L6ey&Bc@FZM2z94>>Q$|X7L*JRp60~dv?&0O_Y#F6M?QkW0?-AjQx<~>Y0r0~ zN7(KXU%nn87R^{!{b+ z;*=B)!cALnJec*1=*Ls-LPz{OwJK$&XU;#8%BzSFRzKd1%|B#`u(=?Zf#o!w*I1Fh z1Mkg&Di66!?>&b@LbF=T6yK)jJZXNVXYgtVrcZ;deAXiKjG?k^WrGIapQJi`ygZA+ zFEI~YXBYnUHT&xh&S}7x?;4>|55eca^_F>thfc$ifft#4!)Z>nC~r1f9tTKX__?t~ z#%t9NSl1SdXC1?7S|GUUh<%*++24n}xhP&(Jaj8C4n~FySU3Nj)p~xiKrLb~b1eNf z?SNpgli0Z*ovv(k$ou}_uNIilGwYCa#)pi%rZezzgaoQIQ;7BN=zVRlXIbO_KI^T6HjU#L|#(L|!x{x`fqu-X~&pg)NF(HEu})53)?%d)y@r z!H*UJK|K<+IT-USS-b({^3m2-&ZAaal4N-U5@{hN+&@jblIh}5W|}cU_dSP!s|t0G`M=J3XDFXKKN|K2BUz z4itjpQuJJY(17Sf)BEbLFqBbbh@3oDGdQ>F4hQxXaiD?FT+ zhJMGeZ1b5Y$0Bz$CF79rYId0Uvy}p$MZXSvf;I^KJJj(5CA!|obG3!~14j=VE#o>| zc}ka#RLj+ib8o)s1jf%szTWvJo29hl|FRX`xGkj|sgJCM*&h6jY5V5c4G~6b+v_k! zw4WrNVl6^c;u!OlH%ID!=q8?dEjP*d!W;6=7UC@~I`Z(ol`jQAT?TIO; zGL)5kds8yjPqPd{kPZyToE8Te$4Hk@=FsgWkW$ntAxG7H_K!|b&h{bFaY10C$3`D{ zX?o^1-ynml?1uTypE^qZFt5$a{OG^<(4<`=BL}h8cS3V36kSX)MN|DQf32llkLJ2x zXxjx0-%@kOgbfMxwsi-u*(%*DNte>B+aT>`XsWgiif*jD4a`=qWObVyj%5W@{Jtr! z9tCc4_lzbTPmLAGkH;wa5}+rtd(1SY83{Y$-UO$hjHg9G#SIo214GMdu(5?Bu|ojJ zLft_FkeW%AiBJ8WkJmoT1p&-^PN3_1{}Nzo@5BZSWh++QJ+`I!ubGyUTq(DK?H4rg zGE~{?>ody2UQnk9mPd`wVY${_vpCC4d%GAa`2uOuq1M=DS*B6u%*K)tJiKWL&pg~r zE@uaud79YWzLYQF*{4|&YDTL$P*o|!>{ShNpoJ9y6X#^hAklxirHq(EoqV27VdKQT zq5jAufD3V{xxWjJq% zV?U0TgLgNfLfP%VmLhU1@oU#3;Xqms2wWGPmp-Ub8FsXy(jrc;g(f)lB@M#K>Iw0P z)QLYFDP-9c>UNYXLX*`&WGizQrnV0@yf6sLQr_L;gSLaizQ;*YjqTpIGr_>{v`jLA zImAA}zG)1`ELBpXJ-zQfP8(W9G7Q(-g*=7)QOQ$T5#l%w__J{w&^4lqkc+K8IJK<4 zrcP;8KoQVep?{dR5w6)IcBflC%&vOT86yJ!@zN#QwArP&aT%P^OpY zTF3yti5~>)pP`lylxe3TzC?=AFlxF z9>5s3^uDD+J4PCkkIpco;gMabK^B~zDiHsgw`jPvl59@t&Ao0>%A0QN2dCoK+HXST zVXqFl1;0!h56mid9jS1-moG2lmQC?)f6ywYJ9_S` zEdOYt8YieinI@iOEPB9+;0dT!nGKfJ+zu zENmNxlK4<&AqNHFfFla+bU}V}#?xXVY4i5c@|3)F0oOn;Uwjc(>%)6d55U&{LmZ=Eig)x?R-^(* z)^yJD)fbhWAmty%DkZiujX-gWhc*YMf9OEGrF3i!!Y#SaC)tMu)-bQWyM94+V1R2E zG`g8r%UvZMPd7N}C59RCkCg97^-k{jr4l(Wz(_S^GO@4LVvPs$>i5p62xcc&+t19f2UPw$1zR8ndkagu(p*NeBR+A% zO-V8kn_}rb$4;S>$S6`bTtM3tT6cBQnCEe=kWYIk(o$jntC@M3Rad9JZ3;>k?&hy6 z_1O|Zjaa*P$Tr zas2XlMW|IT*$qw<<0l6RiXwOEOI?3)8E-~sA|~86uM!*5cgVq&zXcuLR3kYr6$Z zz?8u)xvDU7`FjPm{G=>)758?oNhsQKGDd7LhonbrUQ64iGt1WJ9|0LfQa?hBh_nN> zDtkuN5Q>Y3K0F=YtOJzds+gG$+gG?YHRB_gIn0ag){xqi6a|j->2DR3)i*^lHyM`+ zTZvZ5%WPGK0k~5xo>r(RjDEz99;~128X-ZhOL`QBWhXWs%jyD6pJnTw*P0)+)VnF6 z8YeeG9Gs{TzDf#8js*K(SFY;*n&m%%tJ1|cJKeBu=tc~EiwR`^12d-wjydPl`HnWq(!80gU`Ao5UE3Q7NwznqJABsN$M)9V}5S8g?0A}t>oVKbX| z|ElLu&^BXnGryB{FMhX;JetsIva(?^;FjT}*_uUEjaOKiC^U6m27H=hGYp2ctfHT6 zOT!zCyOw?4o=r?D5ytweX-_N2;ra_$Vdy40D-p|22<)*3x9~<^#y8Hp-XLYg5CNAc zC6BcEL@NY2Y|PP4x#gGNN$r+mwMQ2@__t8}D%mW8dAD)$*J@1HY0s3(yTsQM45Q^F7Ng`s16L%*d267XwG%BplL?-3@G9_G$8l_wNTOFyAK4iP?%h_oGp zY=m2e6hKL|@N4UP%fzJCpS8hE7EUB1X&I*tSNBe%J=cjmb(RP%p9pM7Y$G(t40}9d zIJ&M6>-|$Gx2Cp~9wksjdKQA2Mr~Q{RewRN6JeL5>#SLVWn-mme&F1C`#xXc~PBdc^!Mniwf$& zjQ>fIDW%6EzTcJo>64;yNQE!sZDZ_pA??@2uxJ~Q-S^*a^+AdDy{`%q$(4HDiO=vh z(LXlKdFk1YaBRQX_iO3Z%b!<1*q@o$+k+4=Tx#k6bcIhoX&>|^*CB5(rNj9Q)V?nS zlz5*ki4kHrd;nvZ^!Z&$tkSM^mWy>~h*|u%lwr$(CZQHhOTeoameP49PpZquI$cP-~ zAO|_fz0X=U{%q{P4CX9&6g%XjTExmvwP#5s!p*G4OIsZHq&jLlwbtao5|ytqt|x`5 zc_k6&&9Z6=REzOQ)uRt^8T8$V2VTx(VN}wsd)5r7G|~0VmWuNp55NYSg9Bx28u3Vwxyik;<4s| z3xud5SQ{}RoYcPwrcFnH`E`a@qPPvSzlMp4 z_O_`!i8}^s7{zz$tQNNh5+-r0+$z{0Yph3W7rN*x%fb!ZyX10%`BoXK=hOOtsC|mi zP1eo$hi`W}nX&U9E$h!9Au8Ta{z#$BJRF{)ZAhKC3EJjx#4N@?>4hQ1!o+{lf12;n z>MXA2n`w9U_NIx|AoYf0v09qW_2Bt1q^y0g!b!0hJuJsxtq@O%xN?jP4oF*(2C)ZV zg@u@?;w!j5U&B@=xK3SHWG4rmgJpVzTsyW4pH9xvAO(Ly9LCJ?*2@jgz2XEWe~W%OUY>S^zbctHmx4E^qe3oJ-r{gYr^BhSM4m^>7vCCZsG$ z#+DR=+P47O11rAAoOep==7L?e z#rD*dz)ZzqrL0jfz36A>6Af-j_x7a_w}m6-NTTNcTz;7%9KLxWLCONlCb*SizkMk2Yrl=!66WovGfr!;tQ=Rk z;aJzXn6peic#g_GQv>5t0&jw^KGC*`;~9GCEXo*z`a8C$Alf#NH9ta6C^rMc!*# zfo#r`OGvzEfPK0crwH2^^T{MD%3xQstsx9gWQk5t~9yp;# z2KGMPV%%THd+G8mPo(EE5 z5fEKgMu{X+Iy}@sJ~sR3rT&QTSSv-!ZC3>y9|1FmP%8t|OSg0o2;%QxyWPs_(9%t| zC0M?(+UEQZhfD)Z{-){C8t7n+?p{XJ%vpq*Go5o@6(oNwkf=-mw)PkEnW$s^8C3mc z`^S>L9U??wGh{py!U$8Rxs>~QZ^&<3;CufOlhjUs8VjdItW&H7lyn1mZ*%AS>13O} zGSCJlSksP5VRRJGd>^0_HQ>L~kqS?>qpBummeEI^4~Gh-YWujC?xmWb-`V!52bZb} z>m)>hdU=gBrQAv!Zs31IDZv~UfJ~!D)E_;jNf1tM^E10&W380XdoibkUXd4d*?fq% z;0PjGw!>rdZu}Ww=P{T@jomWj`$m|jV9@=|`#NUWAM1@nEj$=L`>2Q#g-wHn?1+Sk zIheKOm}p#GycmocqlXpI8)mJwR0BXTI^8B92iPNjo(pMN470c^F~4q>;tp4g=&E3t z8K$KkHGx}bMG}fNn@hGJx~%mUZa$pcAJUe(rT-{J5vC?qA-v0TI8-E~?S466;aIS# zfUM*-hzch`O<~lnT}4F0Io=sW&F3qE8urNV5^gmA6^#9g?ln{&l*8q%0%F%=K{s;ctBly)ltSg=5xm2$i>6A1 zb54Ib5G{AT6z`S_#gvardcK1oa;Muru}i)8Fm+r~6J|@UlpWb5wE)~_QcRETZ1|IP zqw}l~mv3hrOGLM2WVe`yyo~*sa62f3Jswf2p0ZYd6FtWz&B*m4OJQ=z262b^6TEV~ zVjnQ{>>2TqG;w=(QLC-)Yho^|(s!m+6qmXTT{j^#l=vfMTt3yqB=wd4k0X!il~8z! zX>~Xf|JvXPj1(g?Xi|w#Rz=Pqewr>bQs4H3(x#X=slR`hzKd(u04TEjt8wl-_+_w_ z0hh)|o*=(48$C@GA-}>b?V+II{*amIIPeW(?)W!5truM7XNoOc6RwD9%04>M2}};q zkj?@wpEm6zJ8No2pE5LequXD1k#8F4@9dLaop4`mBG_>E%?a{UI86)Rinvc6g&yV> zT}DY*P1{J>o4JK?INw4>g5B{M63^nd&@DmhIJc%VY=om7T2ToLruwW#Wx6GNxnGNW z4E4E!gz*{IqKB)Y>%p)Rml2I2Hr+6+nuvA_Hc7#l;3I#Hi)1sPDBRpyLwaxceqcyRTm#{CW;++yB34)BW^E^E>!RlsbXTNRkoFh5wGk z8N{a{&lmSOyY!m%nES1J_PNx!^vLzuThsBEkCzX z5AX-TmzPF|Kp{CiVGSzUG4R`(Xs6L9w_`^l_{4)?L4k?xZLA1dP~-O@2C^R;!vR17 z_9r$GP;BJK=SP7^e#Z(Io&Z`N=(Q*3*F(1lkMQ?Ma;PHU0hYHnLwi!m>GK2ZM&Jby z7ZsJfb7SWp0S*lm>WA>>MZX4mY_Eg>>;jffKwyW#xr;;TexNmPE~^d?&&$iBUmwy! zk8o5yLI!yoSfB+!PG^HTh7JPqje(&D@aq4GCY2tArFRPO`aPx>;Vk&>Cr96(+=mP6 zN7z*(;DsQE0d22@qhDD7M)w><@C$hU0fGSfv4#U6hWSwIc-hCF#^Mg9%ZNxi|zI%I}r*eIbVv8z@lw!o&X$4cJK#?+Y=#M@7aC zbn#>bQyy0q&H;3D47{Z98`Qy=@V#{cBLqzB&seCKm^Y{^lvr|A?%q%SIN_g1$BiVp$=^gHE7LLa`h0{hoTWNMFgJ;nD&LlGEIK+q3T zMp+OEK(wGA&{%EEyCo4opI)83Ug%n!m745J2q^6gWGcyiw1Lk_Hyx{^kDe z&1XR1U^n+>-(L@+(N8(xEni;E@pC4)>d%kv?H?H#ysxjhC=w9TOOIX+Zlvw6sdHPG3US6u7 zk>BxlS2{)Yy=PAGO-s|HLxJ%lao61g^u0(rjrkTIH+=&pyN65$mDhNI&66+bdR47otnJLosQQ4Z{f#vB;#; zlGMcO1`YPj8L~97z=8N}2!IbxYbx!k4^b8;F;vKD^ip@T0OF0cL}> zyh^F*Ks=|d*-e z=Q!xkEsF`zdrP>wnQ{*9if;DKJ= zgl-(hCa=LNumqrXj!gSN!gYE0IBXLv`d?~D7MFaUX>V`PI6fTu!cje@oP?@8C>No? z=IAfS{K*SB!1@XY;;1I!?+7;JJe<$QT$y}b7f`^t;qA^&wVdx3C<;_3u!&qnZ|srr z2pa1vw71Qqy*)+$fgNBR=&+}5ujx0;h^Rrxe0|GIBCecUa`M-FSr^O^Yw~U`$aPq) z(K&Gfc^ef*cu&3?0QD%GCQ&aS>{?j}S16A!;XVua?c=Vb9vt&0)~8%@30&1sMI^ao z3M+=%I0N=tit<*$wyRI3#L8ZNCL6gXn!Hd+#K91v4Cc_(I_T)T-b}rkT-T^{CGnrO#H#XIl^fTK&Lypl}&pKX&0uV+8Ze zQuMQFV5@s=Hrd=-p;tNA$D0d1^7@YZOPSTBg0IP%?%vK=*flHA^qO6?K@YNq)yTTf zzyaQ7o@oIKnr`!#HU6!0k)Xs8dbLTp3Co4i0W%Bpjb}_hyhIbkyHDAzS)4!U;mWJE z^YVeD-+edSnywgpId)x}X$yePN*{c;BByMjSlFb!w2POs{4NO!Hu+w$W^pHzU3VHq z-fIiTY~nFvQaR1&lC@C?buLL=Su3p2jXbAi_p=TDyt0$#^QYM5=4CLCk^M}64=VkD z{B)~>ns2VS+o~`OSccobe3O4qxjlZNx%GauD&r2f>Ag)s?IoD2Fyd1=Yi_o0==I$? z0#X_xz~p4xYZz#<@lQ1NS&F|%*FIDAq)W7TIbWyzhkynZ0z9lLV+&Pl_0XjlV+aB} zQyb1?NdEljgtjnvjg`Bdd9nyVo9i zS45L?C*9Y!_d}kl!O-fiUlq2)Q^C30Hx(qo$@I6$eGNsim@*w0Xmhp>|6VzqGr^;GOD4@Iw8dx(?on z;B4!)arwjUxbEb9y-JP`yS(y=_>`}mZ3T7M<2odnyuH}F#@^RH82hp9a+7Z-pFV1#l4LeS(FWPT|=5kow zM5Jbqr%y-&Wk5;^H;@$SUhZOxJy;n+nbTb8rtW>w;RGuBuTwQwUFm*PrxL@2Lzhi- zv!cBSG0)4+0db7`08iO(a~MB~jw9tL05axxW*5y8Z-&J8Q%2BsXW^`?*rDeHz-mVb zQJeS-N-x9CC&D>1=h<}n{_GJ^6bcp0xFO4)9{EqZ9XKt%@mVU-_JKz|_N{VBcjDu? z+lP|NV91O|&Ls=*irGtoiSy?mAl<%Ls$oxAF;aSa@md?ZgZZ(ot#31LQ=Oy(`H_DR z9KG2brgh;3;#yGefwGuJI@HIi#O$jd5-y0>Hk9UZX_f*u)^GEa*`LbQXAY~un5Ls% zbgmuBhYZHPh1J_$pXlyvUd2ZdI7U{iEM7DEv?+CD;&_X8XNp{v+htK_gj(bReR znZ9ZurO$^F88=uVpI?MZu5la^1YF>(g>F;M(2*8;!85T&e3yvG6?y{{RA1a%DH2!; zRJ?`uz#zYTFKmzf=gT4x838_7YZs)psTY88;R6HE+4S$Z^Nvc6jcpwV)k6KC)@-lnyL%#2yJ&j zxH5`)(62tGP9$rBTqk-XXL67M+J->i&}{q2i4kk!`|YNu zz+q*3VI#6)=T$cS;Ss%eekbx#L|V-acS)`2)k4sF+;ZFSye>R{qHwc+I5=$m=?b51&Tm4}Ay5PP25=v0i={e|RM{q}8-@ja;j(4zZ~5K855`NKMf8%8DF(8~qzUogL}1t$I_sZ^Bi z?PHKJl7{k1nH5&Qz)O0{2P2dCh^PXpgE(`r#53fsTlg>)V0_VDB&QsWqGI|;T+g)Dy}Cv+Ks&JAuWev?YB6tO$=TtG0zg9=#x2=&cy*fm?Hqxo9{T0M5DVwg5*0+z!zZ1dy_<1>&Zl}1H->BN4^-d(KA zNUqykF!CVTP*(B{z^!gt^hYzcSy6+zbe>9AP!^GVD|iiLQgx1&5?k`;_QX?75HW1C zh{T$%Bn;LLt_Mp^DR?V|Uv0~E)H<}AGXD(4#C`6jx_CSHRN2$=Xph%Y`T= zF-e9<4=WA26Z{Frt>c5Iwb8r2nnKr_>64Nc)C2nm5NIjYm$<3b5*L~qR1+tc)T>r? zqPLlEjfI)4DG*ucu)fk7(U;LPAc2{AZ+kOLiW}G&-P%wUy1xl^S!1$iL9%Q;-M9M4 z9n~g(`%P2NsauP7XnGT06U<;rtppF`IsS1K$?m!>6Ff{3A~#vgOH?dzJGN_W^o5T^ zkn==+#ypb6y}6y;oH{_91~Z;8=KPQR-4ABdHY^Tig6x9d!lsI@G{v_L0W|kQKL|0#P7 zMe5M~kJYGZ;3Uq{+HdJ>$`>g*;m|9|4NyANH`k>S!=sCW@;Xdw_#*eNd^^yvb`Cw+ z6wH01$NnfpLgceG|9kSayVB(u9U@ySE(|NbpMo zj%3eNUl}{reSRmWjkyiUA>aX5kaO%t=Fd(id3+O zq!aFeMc}bSsOOCGy@IVV0dl-TC|9;tWr4@(my1!+oZnEqRf4S{Ln(kRdKf`JujUEK z12RU?MtnK3{)mC_i9J-0MBb6&V&dq3B?ZW;1we;7$-hdzqkdxS&|>mE-s!BJ^$NGMD* z^*kyW*EPkN*UNq#ji(RXEk@RGvuSAYqDF1@K@F@+@s7E-@GDLBk@_z~+1y)LWj3gLi<>DP4_|7opiv5I*MWo8nqb znljtXXpbS9sV!G4?TA*Juv4w{-%wf?&t=Y>m3#DGkzDh&pWxk3OAL6uG1Fi&xTNQm z?euxWFq>f`5q3apkOOVKbMdrfj{c{QD~4D-7EFI|mK_fF!{HN27gv8&vCBpHoUMjE z7ec9j9o)EJ3ox9oj6NvoB~fmK=f(sQdmS71#)#Hsvy1Arnq;i_S}ga%M5&t|r>)Cr zxO0_-RKo*FbC~_mwaAW;vcqjbY#%PezXg{n;*0x#Z%LY(>+x@?mo-=!Q+G|FxU_l3 z)Uws#LXzYnnK(S-U*yv~`{jfh;=*)eA+b2Pn?T^=?!$ef0BhxD4x`_4KRTedhLCpf zVnl;)8gr@ZU!0aT&CI}0q#b&B;+C}?nJ|2p894$`t39svTL*LAHu@j%W4TGbA;v_F^jRWr)01_LFlk+~{_h$bq{` z^o`P)#y>^!AGQs&vXZN10tt^CZqT)=QIiH(>;}Q+=drh z)q>$_L`)&a_iakoA*re7zXjykQo0vpbSO-R62>dt(+kyd+l}85r7JXO)vylKV6?S^ zoLOw^D~(sorp2yc<}MY42De!H9jl&?9?C72x2Abw0XRn$rxUzP9Aetj&*o8&Cpk;~Jn=(@c|tmrf@AWX`& zDb=*d34>{@SF+P0(Smt1@7*fbzU=#U{ZKEb`n2cWX39Qzttb<4r)G^JPs<6-xrp06y6 zKjFaOTHpeN?aFO>(Y}ucni^lGCmR$=P_85Cg!GWhr9QB8=Rz{7$*Fsz{1|hC;QrNd zXzwWqif~CuMq;ku|gXFUbU~gwncc>vy8|s?EMJRp8 zoLnuM7|$hGlB-^?7cC6q(EhZ~*FmxQgq~-Ucipal*xIt&seW$|S1L-WAy=Ue(u4XI zyUE4uK`90l`9kbsy}f7Zbt8r3DX}eK-K|*Y{oQ3EQKUgxo50$HY$Q(9RsZx!{;Dw9 zJ#07RC+*6_6rqpMuf0>XNjRM~W##P}@D}Yg<4gAu?`xb^^46n^)Xm9iCaaA!V@llR zgrpzTBK$sk*V(G?sa6&#K&BPrk5&61EwLP&?F!Z5qoD1n|mu~=Br;p^HC8E z0~!h?HY-4D7rCe;r$l3QQe}c>;H@7ddOG7G_o$}eD#FntHaK}Fb>&zf1g7IyoOB66 zd^fycax-v6ai${mpepDfY~T;bu?^HRyKQe|QADJQ5DbI^C|GSiRN7;F(unkZ9jWju z%Ef5It$2n_+iZ%wht)uw<>O@8rmD6jIj;)nYu0nHZd6#rnto`z@f_VJmP6!4F*@${ zN)~<-Gv7lr7En$Jd*WYvexDO(>0Iyeo@^=wK00t{Nx!*_hl}vzEb?z=OtEbYe77kRl7p=oX+;mgh&7nD!TUcLdlO7xMllXj zD{1kzO$hGJg*(M(Z_ZT1IhA&X-8sP&XoJli6Bw4EW}*;&-xMVrZ&YPML_kwD(qzZ)2druV zLVc}4v*>H}muE21_F)!&0f2e5^ZrW?$N1l^s=le{tFv$HcZ{CgM*&_|2v0k z`Tk2|52xm7MHAo5MA^8 zj?#R)P*Tq=PfCrWz661eNzLji{RzOvivCM3R~}lOFQ^L{QdO4%OpUqz-hdbo5}mNgH6HwS%lZV1QK*ZgZD1jC^vdI9EkM;9C3jY zx-4+S6Fx>N1fc#gin~ZLe|P{#0DtZ28V+BwdDoDDA9=^`KYUO7=Ws!T0IBdc{@eqp z`C)j{ZtU}rApGpTz#g5yTK9VpNm0=HfUIHw)BLLX5GQ;Kc*FQpeD_1|T!A_OVA=3b zhd}l}KVPR4X8{I(Ls)EPYi~E>lpf8m7zGKa3t)TGy*==H`#U?Jc6K+A zzZyJz?k|oQ4#ZDYtlv8&KXrls-hl7gCw+OJmFq_oNVJ~~1oD1gP=z2~IW!Rc&ycf_ zEU)Zi*nfyqy}t(!|B|>pg`Ya<-@VAA-Hna!0<*8B{of++&7f=T-$wWR8?NCY%yNFb zRKSP6QqO!oH#JaWKwq=pK21=NI|CeI0#*2A)5E_er$^sPaG_HHI{bew^n*K|^P1n4 zY9GB0uKE$;IZ@z#d`7t49UOn+ZVaZTZSZOl-+ranslwh4@%@bEhZMiva2gSu z%13Um4^Ixk0dQ~vYSZDve*ND7ZnWX8ECC(ggLVMmTp>{I_krBcHjwopU53AW=D)lF z;3oD8`4IX1g)Z=(p!x~E@re5&_vL@#k-X;tfB(azYWl_J6#y6;YSI6V%Z+*@fPK@u z8`ygJw+;N@z3~gfjrZZB`2&B@jl=Hyex)7rzL^ttl$*#LCNuEi#-EE z1Zf=nPG;;jKkkIyXlKg+mF=PkzA>%Klf2S=N~UHa(N?a&)vCk0#av(+mQ` zF4w2uyqp`aL?ZH3>+C(%klMq%F~$hrerhBP(AP-~A&#*aTUw;+N}HwiIf!P^myFxu z$DimF(W3SfnD3kTgaw3$k40v$kOogHdJ)6Z%>Bve!n)OYscU7W2;~TSkQZk+NZ*ot z4iuBT8LJYajiqBbnMg5Mw4HsaGQ&NltrDH|d70;)le49H@&2S@0zov8CjgKUU6Az( z_hZNKQo4JTd$iiYldX_SD58#sQfZQ`mGu@6^(vqd=T4Um;Wbd}vTf@crvOlqR*%^_ zG;}dE*oknZ`suyGr8aKRSpCd1l!>t1jqH9&%ob|Pq7;u z7G?SnH&w#dyw7Xv45wuC!%RWvN_ptv8O)o9yHkW0x7DbpG-2}CIz3m3@G8NTrlDn& zX~-}?)I7u4-G9ZSRMynHSI_|nTqd)vu!2>rR*R;ZE|*k2(Q*OYh=JSpN*uh?AakWI ziv{ezwnUoFgW}q4+qu=(il5o1x>+GTD1dalGCgjK3%PLbssG|RKu{Xqd!$^!UlVS^ zK4)%RZ1bneAzedyGGR-fh!eqz-hWN_Vq$Z4X)G9et%pcWJB<3!2_z}*?&Zm{svTT^ zo;l;PIZ;2E6|Dhq3gi8P3K)~fW}`_q3uWd9fetR!s`}X_5r8CKKzjG@q1YLba z!ql>pyXNLSFir%=Ca0|))Xp{56?d0958-k%1$hD5sYLuF#KPcDn}T68o569gEqg1# zqIS%L$tf;FzEB;;FPK{Upvqx560eXyyZP0nNAp=2&eSMp0ufe8R=5P`7FbskiDweB z7bnq|@c>J!ZC^F4qE`OH{-+sqn#5+&h4zgRuUsCYKw}_Luj%+qN0vn!T#Gs{W732i{xS;9X+Mj zoNU9QXujWKEq==CKs=Lt@tb3{y>?<_>0CT2GZAWzYO-lzz{)TM+q>Z1w942DxpmU4c2d4$ z+?Gv{b*D{`O|3w`vL;Sfl&T^NV2-4yphv&+1%vxgGTS?wf0Y=RY7HR`qUkJ(2j<&= zaR86XPhVyEPnA!3-y=5KixtOz7pIaYB{c#t2SQ4*IQNt=9JLHi54xpgN1ZMlv|=-u zz#My*t?Q9O(OLER4&7B4YpJfT`Dj_Uj(w62>4!h=#KT6UUnSe5xS?KW<-#48w{}Lw z`7Cfopqf=!0i@t}QQ3G*`i>9hSXr`(m$kkAfZ^gtbjJSyg558`xTh}!OvWOqvr}wm z`Jk>$WfW@lPYA5&k;hB5lmMGH%zri4+O zrZk(A)bsF&wKV;x@@R73T7SU$mQ*XBQqPgu5Ga(AO;NQ%iY&0AK@L{#rVw(QQfr9K z{&;|dmf;Jbp~s){AGR?VXRKJvqIVco4DeX!Pt-=y2#F6iON{6}HdDaxtrl|7$iX~3 zbQNlCYc@Dq#^{RFNq>+|j>R-nXi>)WHsiQ$nV3%I;TRTuvxa;fpA})rZd$p~O}N|f zb{8N(;Ty`VF%m4Srp49SV&ku*)M>3KaeP7benT~rrN&LmcYFF80(%*i!#%;sLi5x) zXXFCXDsUc4!X3kCes(070u~~Gb(?EFO*RUV*)`HMCnl$yUtu9}K7VEMB_e8Ab6)rK z%q=qK|8r=<5feu^o+&@5_nosGd`W4xIECTA(yb+2G4i3FO{KUEk8`=!e55?rScOw` zoB2>Qsvzw22X?YR7Uf`I_m3#JM?}vs2-Ad1GHZhVaX!DPvl+T>$QP@1 z5)2yoZ}104XMxtuwV8KpgoLG^2G-8l&AIkKUwi0RGu5F>iXGXT_H#1#b~l-C4GFHt z^a{beqfIe&E3mW3)V8U|31@Q|YL6!CKhd4#ZSO<+E~m-P0Di15=Q?Gl=SYRw6<_W} z6G3ZYQY#g&ibGe4-#5l}UKmO+Md3)?er3z0F0&1*)CP>eq_v>pItfM@qk*Jf)|b^J zNHASgRY?ED62s{hR;q3a#B<2Y-N9=I`4mi>6lutEPv5n|Oc~~qFgSVGO_|0^r?ul0 zJ?R^qKx5@e>C(vn^ub8cp@@NfcI`&0ec!FxRjkw*D*1AsF>K_zyrkXbtE@xY7nIMo zCNe7_&J^z9b+z>Tu>`6S1(8#*@Hc{GJRt|DG~Eondtd2zI{Ja<*qj9j+w(v)N5reR zMWjhJ@xhEXt^PJ|Vr8cZQN4|Y?ev*U{frh*hplQMZ4J&}n?NSQQ(z;&iES^7C*sr~gGsQ-jW$>}dQN~LId6SHUDzCJhv;nYb{?c9 z#&bp5xkJU_#uG61mDt#%-I3H6RZfj@E&I=~2?(vGvYNDq_Tjki#X0t%I+3mzsp`Ie zJ*Ct#)<6c3Y0@G(;{DNLG}^k`jUwQMd)JBOSzx8zP~7$8x(P%Jy5{JE`b9wa?_7&n zHSGbKLrX`;K8#JTtSv_YDh<}XB5+t6+9FT4$s3RioX|$eG>)$eLx^slM`twxvKBW= z$d!f_``(+T+qBQywM_i-3Z-ewq#{rXX>U8{%4+VJhpH!t`=rUjbJ3nLv-t8CEOIuu8048#sqFfU5_}- zdwPGdn^&L$L|P?r3AE7I2OEGi`OtF7+H>dP?jc&Nt5aEoIaQs>k5uj~WSwDN%XWMjj_k5Qo zan?vx8_SOV_AjNhJ&b@T@IO4~O^f--dG$2gwC1%?RwWYI+AFnZm??{{U)i8_3j~f6|JfZ3 z$WCt{eJ$9*lcN!Ragr$95jab1Ij~Y{5;Nns4A@TgT73yf=JCoPI#;ywDz76z~p%vtM%89jmqG`M=j zi?h1%8&IfVjB%qBt|^XdEVAFt0<`)e}i&uwnvMhL+Qlh_jIn(*Fv;QQG*8tTdwSGg|Ox&SQpka zKY01|j8kU4cmV;Xc#{aS=BcCG4&6>D+_nzLO(2j))MBhWn0 zK|knf89~G16P6a)o1cHvpnY&`z{v43^4E8zNsK(vG9%g~;Epae$-mG8{r}OW7HIS&wFp(puYbD5AXaGPRDx zsv1ad46e%ZIVAnnQErEMh8?L9oVK>-gA&JpnkJAwCu>XjY#zddLKGbSbp?Q%CRAs3K_ZP}9_SiCT<*p@Vp}OdTg+w-?tOg$X8B z#v_6#%gxkGOP>^QLI0hFxEccoY$6=;#1#jYn(RKW=CRmzS8?;Fw7BZ}wNQ9}!%|(8 zTUxbz#sipgIMQR?DgZW&*FzAloVe$EwN^5U#m#Y$@Z&YZ2#`%z2X~C* zc?w+#L{6@m1AEKv(P9#wq-(}i^TW}ycI{g7{CZoKUCCef4zGdnVzIJYGSnq%EbDJ0 zov)=J>Fih1 z!k#yZ(ua@5=d(JVfZ3H%@dt`cCk<#ylggTWF$y4(E*vUlT;#_KT1H{%*PJIF5nrt6 zJ~s|xJx)HDnH>)zLszuil(lzoN2v$>MeX8vUr3pjB)^XZIbNtWS8`f|IaL)k9mPQXIpsp9+=I_z+TlbJz)>s+`IrW= z;TJ|KwCY!#QYrz`iJD8;LlG$&CLx)zwyZtNttj8M*vez8-a8V_Zhsxp5fSA#we_=p z9V@mr3z_goxtdPBu-y7$HgEoJH!jIT^}HRoJ(FB6Ck38~5fIUD^IDFsDYc5Mg!)nw z6pg3zDLdh$Ld4o^KS|j&h1FA2$myYDz#krxAju#r_t;)%TkOz{V@)AncIePzrUpg0 z6Avo?2PJ1r(OBwV&Xk;7qxf;;-7e@9z$7!#O}xY&T~dw|C7md%cEinTkZ6;m+R>id zVaW&mDtfh1v1h)D1yPc5Zu`dzGJJm7t}^*v&p&ULl($P(sckqx8HxreQv}ysg|KJS zFhabWb&??6yWk={;+g8_Hf>SA)ciu)VoEDZoBB2GI(d5;A{jI0$i8;11JZ;S0T4y{ zEP3I_#8(H+ReaUu7@<*TtQhvDX+C&fJpJ<`N1xXcb^y|9zGEFZM#t)41U%pIH>pSF{h2Bb zwl$3*>gx6gjYyi5vBNBLYD2&@Dg*&>9K>`r@@8oYTGiPIUr}+lYyAoQ4 z1Yhh{J3hM766lr;=_DdPcG>Tt9J%ndp6jG&jDh3l?Bl5@Qk%L)EY-t`uQ{%!@{X0+ zf_myhqb+UcU2$x<4Hl*hk;e>i+6K}nH_uLwKJ~U6oYoKW`lnuN7L^6LPQ2Gs#ve`O z3PMG7wpsUJ*V$~Tan!w=?frHWduie(9oQcMP&v0OO%-qTrP-1Mvyy4AJ8J}0E#Wxo zVaMByj3CEw6)|;b&~t^%Z491z6<%rc{1{6u1As-Ml|`|&Qh!O_!vKG5G<$YXrxVJl zH2!w#hKvgRK(AVXUdwjo-*q9bEpOxpt&2TC(%T=N^wf5^gd%3(41GO_b<~O!jLyAT zc5FG*eF)84m;^&52tvjKon^!?g!>y?RZ!A4w0--`$s{A!4O8%GAu#Geg337II%4%W z8f;tr4KYZmfNrK&YAoWsS1{=ZpAnWNs*Fiy0pftqpu0$ZIW$whAQ|SrvUZyPJ276v zW%0o1$h{mK*R$&i{1(=87^-`eNj>Z=t1}Oh(S5{G)o=2|rIt69Q%$qKSX_!^@}oE<54f)|!pU?_F94$;I^yAns3}VKtFR^GFNk0K zO=_O0JXhcfkee=^5;M)a-T}Hp7z&$Y=))Q+-nEncjul$L9g&3oY=T%|V5Uuv$>s1u zWdHEXh&CebW`}c2$zn&Jg{<_(_}+P)3V7aBlLofG@~;>8!6;+O5Ik^0%qk)~b;4NR zkH9pTKAq#id3IpVP>8_)qo@zLMR5n(2;i-MR>k?dI6PnV3P7I?Z%#yk zx{zt3))KMP#C}RjAIYp+^fK=Y>axnu8)tokWw{EuJTiU_j zv|YDf{$O6W{N~_>^(0~4O|oOHcfq`x{D@$tLhPU3TThW6uGbxAuT(p%z13&(7L!a~ zA399Fmt7ybBP1)_0=`zkbV4r7`ulcQNk@-z-64WZQHhO+qP}ncAc_q+qP}n z)u&%Xcl6*6UJf%d{z;B9*WTZ1$$actpib=qLN;O*O=b-Rqz}~nmh*I$;}+C%O|O1` zFo2|wh>(F{RU#$QEYqiOA!NuK_B;|{LM)|^36to)>RE1VvTc}bw%e6rxu-`Zl~Sxz za~0tht|8+&h2EI`&U-(dbh43x1G3%M%@}kkfRD+JBN~K z#t2CM@Pg?w`X&o2j}fVBTp}Ej3t?H=!SFSZplIF@fyT5-a=tltE;eSblZPIjQghvh znvisMs#J<%*Knt#9T7t65Y2Y<^`3HVNL97m%(Z4FceK5uKQw=Qu_Y;!k-cdLI|6HPyN$irv=;JdNt1GsU~$Qep7S zm)BZ(_{QDc`HJ-W*DwtYsK633PJSdb%!;3Cl4zBGxeT*qqW`FU=nrlYT}6rPozNza}G5P;qhw z>GI=ri_U&K+?!MBKe=Q!V@jH)D;+}Po(>~QQI=gVSk=P0#o9#2{ar7#9ep`Ri2>Vv z7HGpjvptY!>b&eJbXJ7XOO116NQ!L%#uq-a={>KB!XwEMFvDw*E;tX(Z3o$6lK5JV zOQaz9QhJWlrz(Bfgvbl?XgiDv^QpZ|z*5hAilS4u4EuzgbmL{=D=Ex-WU| z(>ANi(qw4StoCTQ5zqbC!X%Re+l-~@hPUu*NAqVmvh^sfpSyHDRDNqcPh{Ipye%S3 zrzlvH6^$hp@vnw`+?27%_*WH>ZY3$7F4t$5vi2|a^KuF+b6 zNqZX78(Ht2-gEb^z);)jYI=q=H|c;qeyzail*Gtg%j0Yb%%hxg1OnK_R9WY=(&2z7 zp6jy>Dmr zEUmbzMssrfs^e}wWA1!z{<-cX=h!Kzt4JH%$;UnxCXeJm(ug}V z+`$=u67F~lq_$ut?Dfc;xeHL(+=^=zYNcxCP>)&gRPY#g+_&f3>KADLX zI%j+7{p-bO7W0Wo3weq>R;!t-G!aP@dvpEV3sf(skM2A>F2{)2e65X3W;dwM>8~4cnsH{O8efk!F1vUF zrmgKqMdG{1NR)g^_E|D#-pyg?cJ2C#0M0DB>>2oz83@061B<|P ziu-1G?ro%zsWKVR+v+UI;HHDQmk+p3PiPXULesLs$eVMqzU_IuAGOaTW>AT^A;Z22 zJy7JRz~5bj{2Jw5g}rLPla5+8S1Wut7Q-C6dsZ)LU{AscdOo8GuZ)=&#tX%l@HQp3 zm1ti)dFLtiu2~_{mGIo^s)M6tVmJ1v{ehbvx?EUPamAm z+;7@9-E*)~U-35L$F*eLBydMW=OQ{66|&8>Z^aY#U_30TYnSNi;n<%wpS(t`0FcmD zF#>iS=jhu|fZ>HcvR~@kMXz0sds^uf_k^W2=7p>y9l#V`Ud=`9)YL`j>w-YZ_c{SZSXm zmG;`gM6WE5i%C9G2E+Q6PgP54ZruToHe?>(tRU4Tam zqE7qN1SB;-+lN_4ubMd;sFt6eb>feZHiJx{0co7Xd6_9Df77xds@*zVj9j+2_ioI? zxgC#9!FE_y`e8@|A8LtNu`hl8;>$ z-2$lTPUH%EDN}iunQijR2wL~7r1}&NGZ0BR16*2urDccMrCED=%{6bo<<7icS~*{N zGlCTleka3CV|iUOgaWb&Z1w5=1P;Bh+-spBcWAxy#eB4~d@JHB8)J^RhEqbx6{W|Y zGwU?P6rGCRTVc1^w{y?8)Q=qirWf?q_vsfu^q$0J%@C!AU zA~xH@cTs~m*DeelV(n&$y-wGb9+%;;j+NQaoU^LToRthcD_LJSfv2p9NWpl?t{x+< zHShy>nJF&)A4cSu|I>&ZGd=zP48<|xvof*$Z%yO>?PX+RV*dXhk^66|;`W7>LOjxW zeD0rAAra(UsyImh?+asS4nGhd2MAGd;lJnRU?Q0*1A~)`oWDldPrv+5cbac>8dunM zcRtrYw?DUMAOHRAI(wX0$FC}wfM8EV8v;)TAUC(Hhy?QI7vRO02Z&2q1_*Ty{Bb#~ z#}wG!GJt3s`UN6y6X+LDmP3dZ-e*Rz_sCjnk_8{*5ZcyF`1%VHmdt~APS`(tdwe_$?&^9f)V40+^Z?MMFYe`!yM%Lb0@)1s zg^8XI>Kgi!5e*lIqOT9<^n17}wno_9XDbgdu@4f&zkgE(4c7*<1mn+%onKo4IOiHL z@axa=1KEx1aDm>fGDx5=ZFpJ$ttI$5fOHz<=djaL z*q30Scw5{#fZku6x6%-BAV6z?^4bQnC5Szzp1xik6_$@g>B$K0Dj*; z-=?vJX)r)HM~`@Kx8Dzy7(9&2j7L9A_q|3B4-j_#cythbRQS*!{``gb{^S=VdwD9( zeRaJ$0KZ8Ue_BNV`1|;_3v15xaJ+s<07ms3?16qXq@e-~X^{Kw@e;EDLjvHJfS-P4 zo_8sJ*+PFS9)1bm{n(1G_K%*prtZ0Z{DS*u=*jYW0gx?t;>iKc3FR66f7zD)wPQAA z%44O6J^G2MB0ezxfOLebKv_q_ZuFf` z!!>&*lR)1A7l2p-KmSZy1MuNt2M8Af$TNWhSR>fF_pU$#{Q-V6==JuKMh1P`@16F; z2EMm<5_-PR!YRZ3G5KBLM81Ft*_)ol$4?}HZ6>fWTXt;H?Xo&lT=Ob7BL(U@d`E2? z^DUN`JO=rmiUxgFJbvemZwL`8P3^kWSV>za>Rsjx^~5Vc(gi!db%kEJXKE!oQ;P5{ zb(Urtk}>BP8GnEyj@- zpO3`0p)voj>IV+93KCDL-mI2=l;;=K1~sAZ`5!e|afnUVUwN^!8nE9lN9^;otsr2T z+i&$rO&3ornHc08DafuOn&%i%(-6hos<->v=qpTFJMeCt$W+hnOVhpUjzvXZWx3|T zW4cWw*KnFK=z6Xax^)`w>4{*N22Hg+?`Fk!VHq39TaLrD1*>ELwrvqriM*9I?OB)P zSGE9FROxs@MFfOiGsm;k>mNiMtGAnDa>s%kZbF@hQ!}82WmAI3Pq#*Z@ZL1qVl`l% z^i=d@pibTxNDVm{wvE$9^UE0BJH*T>;Z@WUq zeLhq3MuP-O|3!Naf|i?d73*yq?Jh7dx?`2%4-bV!RL(5rkWk02#z zK77{Du^MGE&!R-OiLhtZgb*di^`7)_2X+eKU0-_O3e?qH}RHSQV^g zxo&6rYIIEv(0b@BDJW(hH&ng?s!Nwo$1vfe&0Zc>@h_OfEcAlhT#T{D(zKwN*G|PA zlH##{&eHO6`?;zkXEjgb3ove}Go zr_6Y;bk7-tu!#*%tQyQvS|LDEC|@3maPWOvJ5tqNMH(D=HWgCdmx!3t7fr3_P^xhu zBxeLJbU`WioSvQdB#N?yyjILCtKrD8IXbe@k{U^>ACi)eDP)@RT&ypk9g#JJ>47CI zHYqcy5nRc~IucK@2+&v?J_m(T*tB#*Z@gEb6IpwCzPI)>sX;)akO>97HA3-ve0#jK zpVrNSY_X)%8hTs~9d$|Fv9N1)!s5;45kx1UZ5%Ki_O5OiD+1GP>c(IGmE@?q9o?tz zFRd}d{BC@V%w9hnj#HcF*-iYTwC8!a$Rx4vgE`l_vzfDqwa(T?!0{T5VZI64UMeiSPA>Fo|ZmqGJ@P`D+$l-czK-)8;c0hN|vKu~Hi=m}@dn;3)QOfp0v5GrK~J=RM8Cn-$wmRY`1SoyFz zMs$HHAi~%4W%E!M=44i8<4}ZSOuIH1TAe$NP)HtrBX27JML|O|cgLS@}$ON=sz2aVly|V~)5_y|IeE8Ag)+#yJwS$%mBrVrbofa@829r3c zBwFe4svhmz?&i;uVki$$1#i*gMXuO1B1bmvxu4hT=sd z^H>CeSlrkLGwgasRJLw4ayYjRXq{a3(#Un-`T=@anTv+3@gRy1tz^TW^pYFR1C)Xb z|8+&_#y+)&mHDSh?+zb&0J9a>kuE)w{oCtbTbkc1B1(-JTwNxCs;{(3?tkKmfph!J z#%MZurm`o_jIJ;CEF~t4Ac04N%;z#pV9G4FqcymC-~-(hiLd5Rz^m?I)#Y#;S3lF@ zvmOx7AJd_DlNHpO^E@0Iq)7G3+du5PBkmXNPAe89Vr^E<9y;ncUxZM_0>JG2g1jH^ zMuW1#D9Z0RCG-+YF+2F{xr}GR=vu;~!*e(Ob&P42<)a1Gw1QGO9z1SAGZslFH=>*s z#DLrF(OnOKQ#f#4{rj;+*>1_|5=i-obH&Q2Ug-bR<}*)@m| zHm-Rww>}(U(nYc~>zKCsxm1x)?(k=S5xfTu``;;aoQ;4Me=;XG;@1d(!A<~MT^#Sw z$-FEs%&3EjOSm0_nl((HSf1%ycuzKGau9mRtLWO3Dlfmj7^BfB7DhQ1M!i9l{Vwdj z1buO2zfz-trrY9z;iGtFTsO6V4PcWj;R?u=*p4yAk9nAgu%O-RWahuB^OoGUE=bzZ zf#lk2!g=AHw25bg%6{5jcW95Wt$o4mTiG(@qJB9O=jV;d1nR?oS__La4=(Op}5 zhaXL2T)Sf1%kNwox3oZyBb$tsPOIdhzHrvfc^3vaUNchPcq}xvM4dX?HCPhalJHP& zcsgoc@-5f1SBk@Po)p5ZDw$pLO5a4+w7LgS6|jmd`K1cEU!-kXfjJ$8zj#7pT2Utq zpG*f5QW{=tcgZ5RjpfKrkX#djoWIIA>l=s21yhP)+xIx;pST|_*R0ti@RyL?`n`;u zU1+j*!!}mD@$95NptqL|rz!X8&k9?>V~oEkymU+fN|qD$U{qgE_K`p(#qDI3BtpVy_P&Q8Q*btzaRz>K+?=*?-$Bzm&jQ0#A+iQ&u%3Ok+5~Moa;( zXa~yam=5z5y|AbA#yjiIw{V;udx>D}FNQIMW=@R9x`cR(s>oT0S+*+O z7b12#6XRVLib$tlQYZv@-}Y!zc#oc~j~JeV_Wk({hVxm>L@uNS30S`CE$z_7^r zAJ*!lqh=9t)%nmh6PSeI+tzL@GGp(P&#-cnxhsmPQc%;IG2)-NvY@tE&^7=bC>9Qh zk4!-^IY1M*x3lXzjYh6+ziE9-RmxB|j+4K*v1Ji;UPn_+JTKxcSX&JpWtm!^3VrgT zIM^31s}wVwk9eCj|KLk4-%jM{7c7z!zWOc)6*ST9QK^Q<4iUjpTZf%OQEFQP>XTA+ zhfqvjff3Kk`%Mxx8FfSpZrSinlQ4jZ)M)bLHma!ZG-OF4c4yEr1*9UibM}09{EfAe zQm=6%f{CnF8qj1Sdv3czkB-zYB5!=ZaJ4=6v8z^d6piGB9i!g{YrkMe z4DzU_xbuCxbkH79^q?%xIGJOS5+`ZVz3O%bl&k){%}(wu!eXprtNwVag`+As&WWFa zTF{+eO{XNYeDk`2;AwS6LB%Hjv@m313;` zYOP$-9J8j$?+P|jN-#ocsZ`3Lw{uC(!JAcgm5dKX;%O+`AJUyCYo}vfWBp2RFVdaK zZ8VjNELpG)WsLOPrjDaAAkf%tJU$9dQRNYFqjC(vsmn!E4|0+rBE}tD;KdQD39MuX zVScVZJwo4!=XNK|(9Yh_{@%BYG#(5SJHPCIU$yu<`STiN8Gs;cRQfH(j#jzRmDgrq zE$bE!r$5G?+P-n0HP_js%z>=Ly$^T^-mIucmn&V>@HPi$OqXmg=HN)I@6`#k>{kP3 z^P=PTLBAPW749A+Ef-B^ZPYOu2fe=vEm@V`&UdifarcM~$0MeqtV>s`NXzVSm~XG=eta_lc+!5kEvvYRfwU+rDGPclOdt0fEdk<%!`p$!8HJL|zV&rcCQU}nSm8EJR_SdOyN@iY_6v%H!@t1qgDPM66#lXYoD ztfPlO#*IIsBQ~OE(HM#ONs3#1#mQZLzRuLd_wn*p|D%f!`~^^J@|C@M@Kq3OD_JQqj}gcHrP(z^^clz~kLq6dJgjxl9)KWK2;IbDAm^tL1wu|4k| z>SDWRM@sAqO%_D#!S0vxoEcKn(7wimCe^#71nsLII9-e0#nlMy$fI(j_qgm&#Qq+j z%}qph2=l?d4pPM)w%=95CoOsfn>@1w?w+_$>kmlFhAjK+tp}Q;ch;K9bxhITv>Wwe z%;`M#@bPR>S^64FN{F6R2~5$^=3F|N+Z90?*q9P%NG@=~kf)nTRG-!nYkvyX_I#0- z)aO@YtBXJA9>m9nU&sfR9m4cc`aQ-1cO>k!X1A8ifKTC0O($Tg=3zF^M;%EP#}y#D zKN&g3wrUOvCU@FNHI0zJlxt!WY}A;|ODFUjHi=kgS3qe&Hb5TR6++!*bKs)#As{;1 zKs)<<^%=Rtlo^fxI`)`rnFfp#)qAi#*?9F7Sv&LOTY7ui@^Jn0CB`*_g{WRw`$ocH zTm?I&2PcLpwMA1$2U}YZ&{en%ll|*>AVcmXPTYEb=aD1izQF};20Xm%i>pp$^~VZg&40@gc(F@vTk#Q~VYiR;rCB(<71%kzkcT1F zKAvM!QcVgNTay&@zh!Ve5QlcBvq#o#t@$i*-11)$X2|9k|uqsT}q7OX+v7|}G$Y6PqsRfP~ z+J+l-gX$D5XOr_#i z-V_wCiG(5NNB4&f`XueP&t^`fkD|K5{%HhUYLexkk(m3CB*wVG9%Yq$$dsDu)`8X* zHB!VkF^np_oZN0qOBWoA%-;7p;Mw-HaIwzi`6Wo+H<2l>Qd4 z`=rp;A|t5v+jD!X=8Du3rF>W_@5o)T8!u#p11R&$(CDD@#yA}Ok8;+j;pfwEvXf5f z?axg>NEm@`x_Xipq1QH7iZM)Y|KQCWKt9D*x7)2`^32D4#?2ldnR@xewPk14d9-3I zejz5~$|52iFV*DOcA^FSUe6VyPj23Wt{l;o_TCxbkD`t=av#hLM_Y!?{n;$5s}a(P(jybYgvx_vKzrEHFy-4Lwfk=QT<|x2H2!g-KkcibLPg zvN)ZfRqk@3yQ1@dkkF~iqPokX1CJZ5*N0NEF@DGf$CKr;}rK||nFL~Xmy*}Ec?cFglIwVnpaj*v567~4r3@20LSJn)CUe8VyrT#-k7dsYh>Us`VY`Lv}W zHy-*Y+|6fNh-C~DQ|D>eTvL#Qr~FEL7Tl6PwZzkj^`<3==>I{e^h?R0t6udP%qCF_ zt{tfQW}4X+7B_004tT4thMmNAH}@+Yt%hQg``vEmOgj~~GFBXXv1ygm%8_7BAXTbK zWMfb*o*PXp5tyW|G)(J?X6KSvL)6GVI1&~Bsg3F^pp{bUbu$-H*#SyIcT{0&{^Vc=BNk>VC7=&Vz!|mPE;}LDXfLs`*2q2?{o5 zTu|{XO7gcM;Z^3Ncr(i4UD6kt>hoXc3r|G;xh|cgN=1lO^n3w0{usV)g*%(2PR1LB z$bN4PN4g=ApJrC5Z=+o+XH*`9BkG}Bh2gu5ayz7MvH%ERSTZdv}u z1>lO7&{-_OKg`@WU{3}K5!Fq-8$S7maj#fAfr*LcehHs0=)6`j?08wE`d4fRvZ&_5 zcRak_-top{PcCeo17_MIRh340wa8{SbK*YK-hQNUijI{1iK^(fLT&uP^SR_E`VSE) z>wkzy8JU>=Hxy;WXQXFfVECWJ^#5k0j10`|tpCpu`9mjaVeM?AUjNZY) zVeaP`7QO+LQ!^7i0Kidn29C>im4^hhT7PRtb68LW5q5sBZjBN$a`-S~$Zu~BX@%xYhl(7!j_EYl`Q}SEB z_M8Wp|6#^a2Kb93wR2-*830hhCsZ>zHe&wpGW_(*ec{*s^(*ssOa9wR@Vg5d(Ydzv zRb28R_4})UwXV70{$+H>+C)2J2Ze9;+5(pUYf}OEcfA+9q5D5hyMyl1As;Fg=6&Lzk}BUqZ|L? z!vX|t;XS1a{P2Z8(v%$FJ)w%c!x;k7mwgFT0e~&@omE>l^PSP;ef)b!?vOA15(eX2 zz-~R}H^22q`X^{@$C=cX)eiig4^eex7g1}I@26KTy#Gn>E(UZj55msniwF1D;I4J2 z|JbJDx2=oC;sv~?n4amMIO1pZ%g>s+JNK+d;d^lHCOFbsSp5UK`_}M-=1p|GJKW1)`U&2n!vyU|*x213xD)!K_tE-t{e%2? zV*RRj(Q112Tecgx-rF6;&&uD(2i?H z@aBZtn*cR;UaRwI^fh%sSAIOeXhee+ZHY1KiHwXuPmMQ@}I z*nPQkD6J%oB3r(BEcYtA6K)vDNJcEc4bewC*TvTJG_~i;5mkaSHca5G1F}>=+6$`F z(|6aYXFFx15*jT=4J$0*5zEIKb4c2qKm+qjp_)VgMqi>AlpUY~E8}$<3n%jj@W~UU z)G>s-l3mQ@nj_hwtt=vbIHDhb5nDk?(Rp_OQ3Q~wN|pdfs1r;SOZ;B`qO^PWw`lj~ z)Wu{NN=-(GS|4^p>TrUeQ|qcx_u$9f7{Ip8SlUYGen~=(EnW;^fNucYiLEr=Ftzi* zs%rZpWDkEDXPl6;1wir6-}#z0QU_iEEYL?!pAV8R|Iw!Jlmvw=qz*Lit3e8_*wr`Jip;)eFUZ{h=K_jw9B9DP6VOyAtfm5bSP>Q z_T7rULNuCt{KS}DQ>_mcan(LblKIY7bq?&B&+);FT&lbu^vJhp+0*LT|&75~# zccTR)6$3TH%@TBF7?qx|oco#qGPVsx3I)fBK$CXg451zQTa#{*`9R$*OFx0C*;SdJ zsb-u%Zp!-N80MGrM;M=#@kL-bgEAMrx_80%D$2JH;ykT=o@izxZsB63Zev~6l+ID= zpP7K%)(PeDtPaRSQCvS3X<6RN3Hx-W`_ovKwt~-8c$N#NVE$R7LPqifMRhpT(YNnp zu_S#vqj@gzy@pP$0fbonw9p%WUwtztKK1Jj`nmw zu-9O3xsN{!HqwvuCeS0P4cmtVoVQqR$#-qKr6CK%|3wi(bg#>i;&T4~{Fgw5Cr^jI zp@vobc(5|LXIU4VX*%(lLo#hq`sC>RaJtOSgz!d^k+yF|NTSCYPnbHTgPb>pdr$<2 zjk(qYwxsxo`XMaZ=akm#xtFS*b6*N0qqPHXA~N&FgE_pKf`SfC9ewmw`MpGiyCa?ZabLcOFxk51_wS*Tiu!XuO9 z(!yHmgq6Sn@qI=qe@L`L8H>_10vuGorARuH2{AIJ5BG&Um~?<%Qf1L*=CSR)*$-^t z;b7HFtrG$>wz%ipCYYX7J)zlBR)%NPYO>qmMx6#pcv;AtW510wH%A4JesGT(&edw{ zkcP8>eBK!&)Jd1v|0cEWy39^D=1`G?NV*o1eb(R#&{v4r;y`|08*`LAbP!IT>yfD< z+oF)!@p8V;puiJ6?0&j?3PZ+Jb+N ze^U0yz!`P;?7q!ZnW=4bLY6VRqsBL&i@0!%p|tRzg!P};>I(*FNwS7eVLa&felImQ z0OG@o(ZUWSfYz65w<#pg;Y_QlnMk2?-pZv*`|3m#QT-$-EFAwgXb5~ z3ruumPHh?rYOx}_DnKWU;rupTBUvw`!6AmsvRvgq#2!#T8Vj`Gsi(z5Ml}4b zzc+6qc{?fYS@cd7ATM<>z<@b`=j~gjG%8qK4qdHzuyB$KYK@#j@z;pO2*tT6LJUSQ z)s@_I0nd3%Q0B99R{-Sz{Y=`tBCLB5x2sEWqFhi_#k<=TW~yBbAa-tKv$tvwl=DM_ zn46ibP5(Rc-^624{rx~tCn)7M?GPqJra@!lo`fwWX1lD{K}C!arm|UFFWwxj5#g75 z2N!yXE((ztlezUR-oRnAE+-hCe8EtlOMcBvWAY|1E^Aa^v~D?nZG5wd#OBPnMhic> z`xX|Wb?$WOWGjg{Vb3!@k#A|H)mJ*=YB?^vjgX0v?s`tUA-57jv+S0)JZBy^U&ZJ5 z`%bt@1Z1b@6q@`<^L4)NoHny6K)BmNEAO}yV~i|#f%}NdV880o@7qN8odD}3k{aE| zwnsUUp}T;tMSf+Mxmj>F2sm0sa@8@ENZ?!|$B$b)OeeT|8MAkEo8Ta5E%et;!oizb zh&cg4Ho|H=NN)^A7I!2bjGLxc)N}GAl0GJtl2-t-jz=^gqd%JV6f>BV`{XeOn)@Mj z7cK(GOh2z2!Fb@iHL5)b+y_(+_G{|3iy0|FTI7N>u~&hFC(ep@3W=#vt1u>#zti}t zk_SF+>@fIz{f5hsZ=$lH;O;gfE+(wkcCGDA+nMGjBE-j~wPDJk6*y%28D0a-ie@4S zrfqK?-iH#xAA)se1L-_Qj2efIIlYd#>>KJNZtaK1?8Ofc*j2eCqP1ofo0B#nScVdI zAJ10$;Ha8@;u~HMPPaP~B>f*lEVSjlnj44hx(8d%B;mNFMYL0?gzifbHb+tcaqWv~ zML&k_zx1nSjMDOrsp26Ji$Zx$<>mP2HVkBI$<5wp+QHH+?laVKzN@qCAXxzS;FRb? z#p3UicY^l0)wiG}bjLh#WPA50=5kqhn}Z(Uf1HwBKNte(B?)pm{Q-6OE=av?NU0@IO14|aX5qoDq-Fz!xQ3h z)tGNNO_HHv!*NXO!jZBfKn|pX5}KSLnOA`;(KmJ!q^-FV-Xu*kSY;b5byS1HVN=;- z^q$-%kRzKKMMqmb`67$0YMGHUKas~MR|LRe$u6l#Ui72=s&|-{M?O*5|#Xk73FZ*S0Am%|F#gn?7%w|o&-GmS1SAjSdM?-DnX@uzyHTT z5L;V@`u6RC+!bOTr#V#nNLkgWK#d$khrW8P90Lj4Q)ahZt;J=cn!e!qHOq?m9^7Hs|dn80V zb?u%tb~(0P^S~eHQ7(q$S}C>Qt(H$JG-zGLyO$Ku+b*Bdu1?i1d~q!MkrW|QaD(%z zXU|I%=RUK2$Dra~NDoGqSbF2v;fv4hIv-v}0=4XMpu+5i2ndA`bk<1ho-lmZBZo`_ zKBCs}2dVWwb?r%pkrWu)O*b;jL)x4n)V1Gi%h9LvYEwWpPS^JI@O*TewP-?KEd4PL5gZPuy&HtYwV?;;ois>; zgnio%R}q6&ke+2{?>~QLLdC1wTI-Q?*{S9H$s}i-Nld%=%>VHoU%^d1@AjI6Efz&c zFXLCT^Eu0UjO^fxpJY`dN<6a_Ao~Me%rwx5sQXkc$CIVsowtb{#EmAL^lsAQNabXt z)(>vl#V=n|*b6oTvuQB0(D9}FF(=AuBsb}jP2@9QoGF{xhmeS}-_w9w!V|{Yo>#XN z1Gv^al;t#7_JcZMaMhl+%#lRKpUEN5kjWu2);&1ws~AVrmL`s?4dW;(0yZ~!H9dS# zVZ-6JmHak+uT;Lqbsv~r%e~oBSB(bg?w-Vw1^4}aWzKE_5{)6yqK=Jc;1}tQORJHt z?!5&bA12jsy&!4)=_aw`=3r{0`OW^g>_@U8r8s5;9_E}H#`2CsXn^KHFw{Oldn%8w z_b@#g>c9-#3ZcQvN@T-~0|i*8SA9JrH!Ot}ZKfbUL%>;fk}nPf?j|0-jY~QNF&VEg zplHwv+;x;~$>JY0t6QBj@(V1gfqc82Y0IFI3Jj9bchXIUHIy9u!fDW?nw5$z*=7az z#`hzfdqJtLIzZVr#vOFeth~q>7opFsR2tP#gST(;QWGglH~%Y1!gU7P~}dKq!94YQ@~eR@{)Q> zpCakvCM^uUss$KyfX3_2wDdIo+Xz?qlh91QT)6ppRC(}rU@!z0ue6j%o{@Jza19+78bsQ;!2Pfi)LU9|H(sTi(Pu;x!RMTeGVX&y5#J>}p44IxENi4#6OXckK zMS(nr0x}YT5Kr-Q9&{7yDMKOkTdWWQUmqs+3Hw^Bk@>1YI`n>XIyasdO?Iq{%IjxF z|7fr-Ez5^VgS|zNKrZ2{b|17LJ!66C8Y`|ObiIChUQ$r5QCUkMi8t?Oo3Lf+9k1T- zNG&MvfMV;;ojJDG!w`6i-{g8QKxeDfvCe{4%*t;UgB)Ou(Sq!fqBtao?@yD$CJuU< zk$-L6)bW|7F9<42>Yb_J(apF0sZ79^bQdp##RYTc$x#u7jxJVLLb#wZI7|_rnzmd) z5Y-A3OeIikKvkS9Gt;=M3Ujaft#tETWjH%luV#oFt*$bGu^ZeyAHZwampGgd$Wmlr zx@hqc`@IdU2wEC7ikWdJ^6+7j2o;zS7a>FkqtzNlcmLS2<9!1BqqE8oiD?7sUg`w< z+(XiOBqCcXXunITQVb|huous--TgRh@CPiack5WcGEO#->*}+Xcebx;&soAo=K;ML zX|*njiy_>poBeg&)NGexUVxUz$ zplMRT?8@}Sli2y{Y)$e{P|MR<@*yP`Poa&`BrC3*FgrG+x`(*tDiom$%6Cf`%twq0 zBCRzT;(47L%%pTkT-gkCf>Su1mV(jdDTG#4o>e*}zX4cW;TP`jt#^sgm+kfpEn#iMa9voD-|>AdZA)DZ4wxs z9n=7A1H0V34RrH(u6iqLHF;+2siVzJL?fP0lHMm%dXEnC+8YgU=N))IjLr=R!ChCu zL|gzpI{Gdw(>A*a+8RzIw!-Ln>T}MG&48(nc zBhM=hopDTH-MmkgXoVj%6z@sc?fcVb``?>93ueK=lA8d*oI)jZ0X&5+`3h^0CMj+@ zqD0X-qPHwR`&{_-#c^3B=wm*?+;Q{=VCc)JaWCkkN7>b07_O8*O&zf=4-MQ*3hT~25T~EVN%-=T@;2QZlHlmRmDd&}L6x&^;~S<;eERJt^LB}SN!UM`Ow ziC{(?3rf};6c{()zh`fUbdk ztSo|r^aM^jWm9LjiHzK;Rr-~dJzq1NQA!nGCaErk=g;8+oa-bevJN+Qy!affm0Td# zK{Ye+)Me9;5$W_=pD;3|urIs{Lhbr!2tO4jZ*Q9+CwYQ|rLsX2)NKRKEY8=#9i;-l zRF}FiQA0Z&uMNIxqdW#{dv*h~$Sw*O9(VLKwOABYocu1wr$(CZQHhO z+qP}H`)S*@ZO)synu{-)UvQGTIaSHtYwZgXJ(di)d;Y0_MO?o63Z=PZ8vCnW`sYa% zPOBJUGMze-+s2U@b&@Dy9?`Wj`MEbq?OxO1f=>eR z_xh&o>=c~YCws#GGh2%+dm?t1$^nm6%PY!28g3%dX&2M0)V>sQvir7*s*n~){StAI z{D%1o|E4CYi86cRGKRJ1bj==38v~LN0I$}J?yyJ}ou>Lx%B2En?Spz|!8K%lzuh{_8MXD#2 z>0m}{MV$-OAExU*#57AVp3)DlM`e!|uNXBN=1}D4twc59=}=V9%Qg;)H{zOhw9nK^ zL~Bv0H4M`n;DRASGil-8AY5vN7$cq#ka8HgPEhfnmJJoUPUpJ@Y@z4L?Fr`pIDY## zyH;%wg6{B@ojSYKhW-N4m@`U~Q%%71_HZypd%m2>MoY>gX?|X}Vu+~b(=oursWy;}S42k>%fvMK;_2KGY@_B+yNE2{wtTYW;;z#Z2^#S%^OPDo!Y_apGq@awa# z??1;pKh89j>Ww&)Knb?Y#||K?nTN@cT*I%or_p$n9_<{^ZV&>L%{V=eP?-|Zdl-x% zARmN_8i0eF{ElKa^m60bJq)H=Py7)elS@bR6&5I!cNF4Ls!%CXN}#WXuQmL-t1`2( zk@>W=a#9q|&bn#{xmGvUuuJRV@VSwbW3-p0@KAnx^S}AQXFtZ|C#u$K`>$JJt#g0! zZB88Sy4NXu5?#z^CfXMFY&ar-W}k*{NfYq#lMIHsQ_x487en=h?qg+^bscU?uh*WDLS)SurYh&m^ zTbTJTDwY|noe8cPj81@KVv;LJNkgS0O)(H6{YY;S#=LW-p+Xgk4|?Xqn+#p`?lL#` zH?*H3X}o+$&{Z3?g z=vYb~K;`rKRyDj9G%k4I1DKX$@E^|PGD7X>5daDmrwou|^(3z#W17$-x|JV8{@Al5 zQf(xI$b@qaDKLjp$J#hZZDF;N4v)#g75&y>-6TRai0>n!jw$y@C}IVu)bDaz5yQ1$ z;<9ZN-6by+ph6<+3j9|DWO-tR#E8qy*lNH`{Pryms-B(gFHZ^~o+)Y*qr1d8t`0P# zUEz4g4(-Hy%&w%IUk2T}NgbEbSpp^@2`r0VT};hl0Z+Q;_=>ihw5N)6LI63j#rF3Z zKt1g&oc?W-z)b#l4+ms3M#Xj8ghd^9u&vstWvakvIc^!l>Cw|1Em2Sj+OsAL(v2@E z*kZ1>XL2Tiye+cRf8nDlZF`ffu~D9s2W#6Lf^(;oz!s@{*!t2^i>Oy`tZ{eMTan<)P>p6c03a)Pnye|!;4LYhb zO@v@d4;u5gxYq=5%#WB&^y%!WQI-@5?_VlB`g2WrYf!pn!i3#}+Z}cUx2IAZMX(BF zWZc$T1h=Zh_nEe}jn;((alJb!%_vySr%GQs)!W_N-q4`Yl`FgWiMRe!rwqKCMlN;c zl;<0x7xzO*(d%%=jdhNTjEQS{p%=*?K>a6$=9jwPf#@R}Up45L^HXLsNg8TXXnwyq zOF_vcjn;8oKp`r1@@)R*HcE;Ju+K}_<8u(S?NS>nc=Hp-wW7P)DepKLRz@s-h0(ev zXgpM{rZ$JTVp7B=2#qV}f@fzo3M)yaepQ`<_43s*Bj;4D1-CSgCSMOs5T}Sl zKaPSzQ6K1y+SN1stEy0uqBkYZy_U-)dV7f&M@PMBoZGvWFzHY*l_HmskRC}&ZdeP} zs$W3Q0+0L@!OlIx3$>}GzVYH->%&PEffLE*!_0R%dvU4`A-_%ITB0Uwlf<8gZ?qM1 zx;^~s@wA3_le^#QVWUO!p7MHPdl~xEm$ycp-#*8k^Ww|t$rtr`YYA-Z;QTb zx-ksUS&dG4i}@H2lFK>DJp|=LTH{l)xy+v9?={DYC;6@v!O*y{nsUoNFhd{7VcAhi z9R-?)Ex*~+HU%N`3`1L;OE>F8h<7yAGo^$xIOQijsB(CKT+xSY*!>YO ziTM+>B#~LqjPv6-T)U0DHd~I;zPuX$k4wPM3(6(EFa(e;R zFgc$S-J}9dbK)mJE|nXWyDAQ_%|G+v*`@&KK@=g^oT+w#Rlm1s*(`!oA-*BLF$9K|-$UrdWG zXanvIJ5vQK-(=ttYvFU^P8Pn6#We}Y5`TB&6}*q1Qa?esC=vlj|}*1+?+-X~fi zAMr;7zehZhUnr6kZ5}^ZGF6(gCz>HS)h?|^E)n%~X@cPlPb2Asl8~-c;dDib?OIFO zJ-7yeC;(x)|KXS$g2U-!lNL}!2Hxxd1Bpm9h>yU%&EjTrwv2x&E-t$ciBWer>YF&t z2KgJIXaC$c^OWtnU8(#x+27*-rYaQkYKDPtWOs3)o?+ z@FgMrc)5pM6?oO#8aN*T0Xr(Kn$Jh(ySfNT1T%w9{0(`788=nAK5swWXRCbfC-X16 zX8?QR5W=|K#bgj0Ew@ppMn+G?R7`rx~d!ds*dsTXu`#l2yvxZkE z?2aF7cAwwamnP2W(R~Q7GD8d{?YBo3%;jf9)1p=4*@G8H!aDilpLS{@X);>gXEm3< zl--MO=cmzSn+yb(=-L4RKZW4_+9Mw7x9mu}vJ>M~6dw0rkSsalOwK1sK~=N^KG_J# z=XUNhno`ik4f|(fx+%@F3K%@PqtMrC2I62HsqvOak#y=|hAFc@50ecx7UxW2`6cL< zjWw`Xy%8&8>OE2&JgN`V$*k9cyMzvR{xtipzvX+w)b$z}WI!IDsq*W|SxS_l$ZVVOP1)x;9;*xUV9QP&Ty$5&nXB`o7NXeJVC5{^N4RKDRMFx-G zH&HGI@^U@3P|Ss}w#v&0AzI$}ohyk8DTE}VKyw^G_VH+j)~kXVPBW7JbOB*hzD7UQ z5p-dlxAVQHnMhxY1xXijfARH1Cu!0XknmThlkFqp_EL3=1D+X^#b)Vi_|=(Vg3>x| zpJefxC)aHGv#lv$M5zceS0=juL}rl?J$)}KV#GfDDO50oVhC4eST}`Nc#lI^) zvZKRZho*pIyzN%xCipo{U($>9V)-HX>Hs>+~xfq z=LN?oSGaRCS02Wa;6BJ@I<`x+V>6vKYlLfIez`U9pn_OlbG<7Ex)1W5W%_OO zJ35K7h=ySf{HB5$3Jv$*oMi`MS3-bCQtH*ggfR>-8?(8kJHjI^K3{$*l4Lp?OuC&_ ziQPM?J*yM*z$%0RuzQ+jG-9V(z;5L2tG`E`9-Z;6g5@A`4C|{n~7uF zX2!6TAr-VFlCzmSuLU2o8X4}UmoP-2V)k^0ncX|ZX?#@CCOd0Y73t{wQ4H7|XPiox zRFp6qFb$0@`>ml%maZPQs8vfuW32L?=3c^O1jPdM5o5ztv}2{L!ZY~}E>;U-rC1Yh z39TL@At(BF@2K%fz!eMTNhYC|Q#`-l-9{&|7p<;#MSqgWcq?We7p&a1nYBbBh=E4D z{sItgmzev$UOtWRsP3?BTC1}LIV=de075m7HQ^PpkcUP#IhEltj!{BPn$#Y4?aqeS z;9L*|eel4GfzSW0qIE=f>#x$0&jgBIp<8Eru1!iTok@#KTnZQuD+Q(*PXPN8=)$LK z;$H+O?G5hOs58a@wZ?AW^^Zc|kU<%-iP3-VqB#e2E$c*aQ=vznn590v5u_xrHc7(b zwVbPDu!aJtB?bzr7|n7@gfga`xMHCPw)U|sE>$Gm=ZMh+C3yhY-_^l2dK{!a_FmUC z_?;wYG!(sAeL>yzl68uR`hF?{3DJ%TfMKu3oq49nihP5%FXCE%hnqdfXd#@-7E$N^gHjhTO*pSr;dYc}0hkQh*nT(cZYYx50%L9omKweyy1 z2C_K3y&YKBeG5mNVA7Qio4_o;MC@u%u}G={qI#S9#5eDXYN2E&j0#5ky0fZ@LU(6Q z-oWb^Rg=(DL7W+b`|Eu^zqMor%6NU>`bc#04Ces0AnYwd!d(j%0fAUtvYu&-Pc|A! z#Nb`idl!{=s4{wCLSyqWDs#mHMjcp$(lieY;H}x@#wki4TKLAS1cxClYVk7-B!7Na zpX+&rk{W!e7E~T@_j9$QrovE+AynVr4lvO=I;QJ_R*mRU%cX1q*QAkeT_;yny839A zdJ_PgXR45I{()i+B&8SHB2O~GYrRiKv`pbMhW*Q_=7NRTc8;x(LV=e{dW5Zu!f6c> zPrIbIa=LWivJO2JERXYRiSc?zv}!9pF~)5&TK#cmkovALKu=n~>DHc^x|dIWoUscn zLU1cBA%h)tYeSkGrNb3fKLXsb1wY{kf#s|vcyf4qj&G1gi$fG3U52hPFVnF({>OAp zDjZ|Y*0RWvfhbzCCclBk>%;dz_%t1~4d)E9$+4G@pC{S9kjmkW7j*HJ9^au+=0lUJQFUZID?+49OTcbLW&r8H(DvW2;#Sin z7~P+eW|4Pc;syhLuhRQT;=(M5-&wcS!nKp~x`|6#q)bk1!RdjbJ-Q1%9SZ^EFCKB~ z6c4JlLr~2O4t#_3p#{4bCK$v zh_>#n(x~}Qij0A+*5}OPMOKX6S7~nSOf3c6f~`p06+?=2mI!KS%uKt2kT-{8_jVR` zS&!*@B=Q^qO5|P0FribX{(ngdfR+zJs*>SBbSZFZ)R04BT1EBSU;>SwZ%ZZSxJoBQ z_Ha>o5~WQdU$dCU(g|Y>(!T$CtvqA^iy$erX@CbvTk|wssCn)7ais+wB!HSsLlLV^ zP0N|k57VwJ9a)}ArlI4Vel9kcNVb6VV&5ZuSLh-@W^x0Fg?0idOqSTkC&<^_Bb%cyH|HPBQqEA z`Ul#4)x_FF4Zx64Is?Q+<%eZfp;qnrbf)3+9QoF>@@?~bk)(4kt$f%C(zGKykQ^0G z*(v*v2+lq_!v^fMB}#lvIulcE6Hl2$AZ#CVc>d#zACYj9a2xrz1+&jO4WVAz)2?60 z;d(S^vzUZ!TpnEUcL9^amFT&~jJR4v_niM@2|9^-+*|7PEcMR-rDzr|Hn zxYaS%q;?mu_Qu^zE^S{Ja>oZg&fIg>Rk}7+bGI9Uo3f~0eRHHzEsDZHck=0acd? z%1u=sK@pC8_R%e5Bf8CZRvxHQpV5CfH9rKM`Uft&&*#-wM*AwH9ZFyhB0)_z=1fo7e;*d?ppkdP}}?`6@izm`aaUoUgfOz`Xe!7LtaT# zyIgCH(~&h}2=zXvuLqCA@U+qF+^QFUik$bx7k47+f&v66kPp)^R3Z zoH$iCgylI};*L6^p>cB_nUv6ypy#x+uH!y{e~%1TGxe)v1mx^ZPv3q8S2XB* z!VeQNW$IvMM=s@RPKVYu1vAvsD>%EEyJ(~C$)QnH&5LoeL`5~cz%RYPAvX&ouGYpf zuCUz0oxF}~m8Lc*y4uN-o=mlzI+Xvnc1D*XK^Q`O1x#faUua%}4~EFeXM}gjtDUGP zU4Yj@bw)bNJOZCXE)Y7A%E{Ph4x`K$4s@Q&uRUuMyAu`Ikl7n{cU;MKF=^K@7rSe2 zi#p}Tj+?~Ma9%)zpqNK7FLj0`^YAH4!Jk9O30KppROKR`+H`UCtwZ!~KuWm`!=d|l z-ECbs@_wV`Lg{HJfu)(0YL3)XLg796<7zk7U@<9`63DYv)u}{}TVF$(0RreWhYtwg zWSHM$Y|P`DA50fw&C&}1o=+yG&YH#i*D{&QYE~rvDQ0hOXX~Dk5~1w-m!c`i#INa1 zW>Kbd{+x?hVN%i$$uiU->vu%MfURedqK)&VVqOECe3ab~q58SYf@Kr675G$@d33xE z5Lp`9#2N?CrW+|1qtud_lb7PUn3tp=B}1aky0HCJm{L`mqg6X$L!wsxUN$huL!euj z{Dd^k3Wah>ZfC(}kH&p1s(xwD7`Emdu4MW5JdaV9>t}%UFll>R9x_cdrr$9-g4rAy zv=Y^rZC}m{pC!S087ji5Y0)I;hA%0pObZiHtS}OWP0%PvBkRAcaJG9rAcoIykdsL!rB{PL%7V2ay~%;io;N=sW!b}c4#M3C|>9<1PRdH*$w zJXMTNUs%Va9$r1W5t%>CoNo$?L#;yWCgXh;oDx#%lwqQbu+B-IGbkONOFvyz zip$Y<+i3zj?gi{G$C1+42O#e-f^<~JJ58Q+Jlb>e?vUP!2CbLLyyg8nxVw~CnjrwD zZyrqTnw`^@_c3#hs2}(rvP1=TDNK`nlI6Q&YGV5&@`Pl03)QFDEvcwj6i%?VuaWVw zdlolS+mWS`$(n^5n{f$U%4Ho5--}POm+?PD8cZUXZ&KdTDSRi(!wfux6{??*9XJ;c zRHy^5?T_7Vb~2#@AgSZ3Yz_IYjC{F(HP#wn^)5M>;q^8uF%aN6SJq$a^{NpyWNnr_ z3f^7rfXRd`a_xLs;csg3Vdk`UGE9=Lq;p=Eo{!E>s{%5n>Im$(?P zyQKy|%@CSxC|<5h52x?K`sT8hdaVk1(xFDdZS;iD712Cm63@va51vvL{e!)6Xwh`# zJAS=JOc)-m{h_Vn=|u@xIP`$jF_yftea!fDjI*>{bS1X*+osE;I)YndfBIuFrt9oZ z_;*jM!l4qtfP9H?C(s28%jVY><)d)moH0J71#pqDg#xq)!MR2N(Z zOfAl(0OS+N)oYrwasGoCb zg4|@kb+=fC!)J~X>i>d{F8Z&rf=Jp?qGgI|BBZxb?G?ah90@1lq7k^rIW5|pwC~Gs zg>3)Ur~q=cIA+d}n^DGIf?{ryluOC4cZ7b`e>}yV{~=+0JMr}s=()89_=p_e8r^Hp zFrHVK-P)&h+-QzFf?A~%B&k4!^PXGhXTP_NJA*p>-hERWK}>QgTtO_HEvI&mo7Hz$$?ayh!H|!YM3W{d`jyS_d6N;p2t46 zJcwsPqpNdIc8WiOlx(QnF3C)hL!B(5$fwM z;p_w6D2;+O>#g^m#g|*{&7aZ8PDf8^2$Ppwde*5+E5osOBN`-T<}U|)p+&%KA%}<^ zOAjqbJ)JF@@k@+n?6(=$-@H2rE>!qU5BJ^#G zE$2vYQr2SDMb z6E85pkThC|?H=V{;B`nGAA5Pq-Hy9-Nhp=b18VFt{GEh9ExRK3oc&R*t z+fq)ws&cMQrk`AFo2pJ~{PSAx|4}l_h3>)YKLKnTaDPN)KPJx1ku}V()S6rk+^mw9 z6QryjU#l9ApyGyE0cFx};LkQobFg%d^uE_(o7&gvctNP2VAbe7e4%O(^_2^!(<3Ud zi4O7=kxE2#cJod|Nq3`aiay(yoR`<{0W{l=?;W~SA|~k4vgDJwCupuW4?Y@~qUAe& zyFR4@I}FOMyND5Z2n``ReN{&Frha=r&OeK4sc}RF9Zxd!{4_H!PDu5?mWb z7Ku43k9oW9K!U5zDv)?qXcDqFFN^$!b*UQU~e?stwp`X|iR5aNL3@(YcRb2FKl zR8M>;a3z<7(TK6Pd*QHy2<%$O+6G#;bX6;CcnS&xOPLz7N$f{rCRHiN^^zs3=L@Du#XHE5`uz3gMA{X;<8>wd?P9DMQoz!d?WbLxs(I6eZq z%w;+p4@pksvLg32Rkb7LmAxd5eCAEz>5h;8`IN7IRPlY^z5~5h{0T{VSDI+Ce!%4l z?m{_HAY3q@3=yT7*#XG5)h(0IG@(hm>4`?*6-Rv%#Hinkq%JstpWf%NAK?y;kGqX2 zC-WQ%2Evg?AwMbT1r~GZ^+bTh!W|YH1X^1#ExPfch@IY)K$T?Vg)@pP1Uf`Oi*APf z;oE&{SSDLP^LbtLh)fvA=RpJ5v%OjQAvz&q(1pw6h8|&mjfTT7VMtO4G(kCzhI0^!Hw4SCelTp16 zdHRQ*>cG}i%4`Z@1!k!j!raK6(+**0R|E_TvOaM+Hd{>CNCQYOD0{V=U`|9n&|=p^M# z?V?>04Z+yI39j7vgq1oOY#KxZ+rui45__K(43Bn-3+CQAR6JtF@x>b?{wy%y+z(WG zBtc0jgX^cWt1G-m+(ChMjX)EUCHkSd{L@Ml<;X=-v@VMnT{P=d=&dptiU;`^s?ncY z&7aw9lO=3!xadOyFawzn#Zwncn$4&exPFQf8m5v)F>)CW_g$;2G~aiHC0_P%BwSrY zWYpovrMYI{#XR-pYclc|731rt8XW z4->dd^CB!WV3K(yNRIwSxFJJ}I9Sc_JuXEkhZto#W$HaMZ>V{yUrFQ&&ap&<{7 zd4>#uP}q&CY?T2=>3lvWfg>;@BVtt$I)UJ2zBk~nTdT90kOe#n! z=X!kphq3taY#Qb2>TYx;a{4k$Fj~W4iUgeAilCVId1kY|@j4ua+4(+ypvf|&Wsde0 z>rxc9vEz3BYmJlX-bX<&5u-Dbv>Ik`o`Y06pfJ32lk=E0Q9#&$7|fx5et|4xj6Y0X zn*W&bNOpSu*%x;Z(Wma9qudc0{X4sEJ^{beIhgQ2X?soUa6iHifSg`smJ*KwD@pL} zD~`nd4eLB@S3Hu&8AXe(geP@eJjf2dNb~MG(`q`=)%u5IuR_$La|&WTo^dZ}YCJZi zo%E94u(9ef?V|l<`I(_%dijQq6X7!{Bj3*Qu>f>SeJ_=Z8iDRO2)j5QfNXPc>a|7A zKHBqAlfaFO^7~rTl*+l#%#33uZWK-3Blbw2$=`l$BHc`Sk|b&!qBh!>8~mpg(k?n% zWQ;%)y6r`%l0Be#B>VaZcAG&E%yy~hWlo=A6f6%;NJhnCyJjDFxTmKdfN+h1m|Exp z?!m;`9kbf5PP@b51=3kTIY)WXLkQ*^-C^^NZ(R6n=6CI$-py6Nqc5bY>gP5Xp|FGM z1;7n%@^TT&aXT*mMBXf(*-!I9-_`^|B}=&zf=@-wGh^_0SuKeXlBI{T83W>q`1nc+ z^Cp}7F}lLCA9=4>S$EW6_@s~D$9%|jbj=b(x|eqXt8X>D9p@|ooTCs8jg6^kIwLZq z8n?vgG1K$I%=91?n;_&v->P2IG*p&pq(W{d?VZ3A?LCw0iD>rBvu$zaSVbx3IBe4x z`|fKQdDor(;6_V&s8*5K=htZ27H5BQCWf`uN6)EEF52u{Im{S)I+{Pm?yzMiS>p`Z>V3Dte~wNaa-MHkG-f}cDB zxj_HrKJG(_817#Z=5Xt^@_51mWzjp9Dtmysr=Mi>9uMnK4MTVH9C4>?BQmgbiSDoQ zEL}-pXCONv`I0(h;zJ(x=no`>)O$0?kPEh~+o;bc+V0D4CUZS_gh4{PRBn-xmpEMt zrYOjV4+0BZ3-+^Iw%$a#E>F(PHhK(7RTo1x;V4EVI8s?b18h%ihg!UhXy7;y>6WoG+091`uQ@QLIE^7cCS;W=_bM5>MyXH8?(f~ods(ppiVGf^&{nHd5%=VxbU>!cBcA=y7&x>Fm?3EyMy zfBOM~u7CyZURdsVm*659c0e!2JsT2O%+)pJd}H zneaU{)%X;EpWd^;&DODED)i()fLu|Z=e!V3!MAi7GdH%9L}KSZ0IbB71z{ru#fX&i zUxr+H1O?x+*8^<6)aYqT(nnna)*n6ivO0hlU!-g>|FP<$ zX_9Rlf8_g}_LR?A^=*gQ^2cJcxFkB#+(ktOor1zxrCqps)q zlQZJ^H7_q=cobv0f*ly_@7NleJbtj{xR3u@{>O4OB7U$=fkQny9{KJcPQhG&oiK3p1NGeoU5qWvVIpLB%>4rpSA4iFPSR14=Qlu|7M3 zZZ_>^BTVma4NVJ^_6Y4Dsl+ zqJo?MR2koDPRoZz$TF)m05l8IXv_E-01ct@o2Ja?pnIA{C1z&ldIOqc)JyEyFO`{b z7Ae5(eW)}rUX)RHxJOiepzt2OcvAqmB2YSGs3ez>dRnT6u1n6g-st|bA-zRYqi)7i zBC37upx|eVfx)abrkSDy`IoQAO zJWL?LR19*IRTeb?;slrPU9#@B{kb!JDUMx03EXOETnb#g94$Br<2lmQ!e*5u(df>S z+sOi103#}r6wPoIGPBBm-h=bmOkTgueDaop)`EwD<-W9ex9`K=A_W0ZwUj-w2#)}7dsUG7|qE4L^Pv56SnP1oZTFr8Tc!5 z0<_S&&Ak=h@V?x%(frx?4ODK@oMKR8V_GEXg#ygpQ5l zp!|o>=7{QQyYe_*05*9n2Le4q6`suX|0l0o!y%OWAFnMB5-a>%$ z!?TqQxQf~4cC^8RN501$jtvIJ^COL~|2!6GtUH5LY%LDFNa!}Y;mKv>ao?E@WEex^ zWO?A%V9dI-+%)I?Ng9K$m)t7mRh<9)W^vm+6T*NzX((}Vj_0>yG4Ia3^GuchmBrtk z8&@Iq3?7x@;njOy18u*XnAtsQ-4ee{@BR*|O^lVg{$-e$GsA1tI`H^CAxv>Hyosj# z?L;Ot+GGcEp~Aq}ya^XP<8bbOW>_S$RRJY`@Cf`2$4mmg^-Qlr52v@c;4784mU!Y$ za=Sn>%43*QPb+t)AtH--GJI1IaWs50E4~NW+B*K)jBzPNEoc0ES>bm3OLJBaSMjWW z4FKrmMB?F|f;{gNsoAbE$%z%coeN#BlUGOYIrq9a?Cd$JK9$)!Ae~I2?u#Th-f z-6BpV5mMKzW59HSVjftab$a5q8Y(o;60Uxq6Xbr@E0IK$-Q|$jrQ-8zyQc?X_=5fi z12rd_*y^_-wdLj``?x6iPq_Vl?W!pb_qlT}O1}eOf-B#H-wawr*0++v`huiz^A6Zm z91V}E^Pk5kD62y5u#_vP9mtT)EzAjnhaPui+*O`sR7?-EsRbR~Q{nbUK~plzb+2_1 zWsYp(xw8EfMOTZcQ}}q3ckUbx`FTyLea~-TtLo>qiu=nRdHT4)^sz|#Yyn(E+Z|9i zf-9Tp^Au>^8_?A^DIc{HL#0GYi#~u2_fE6+hSuYXO7C}!nCRn@4gi!|LAj+0c(7I+AbjsRj6aYKv1C{57@BdO$P z0=<^fyOr~-xYEB2zW5ppS*1I&?k&Xf3Huv1DDt$u%u?NDR7%w{moZp%7il3W5TJkG zCVtaxv8`!|J%nn(!)yyrXv{~;7R5LPF3FnAUL#je+1Q3xSBsxFi4L%Jm2PJw-nOhZ z7Z3Plk!j!Enwwbs(kAJqsp=iz1t2o5U8IfzPS(nP4BfZccOdPHz7}pF7g?a-3#xn_ zNx?Fkv3YESC-!oTc&T^im4%%}S6j71G(Pe;p-)D2>A9%dCSh>L65O1f_QxawWwe1} zjblcFfckJ>z_SmUW?nFvro&19}2g18YjBeb@;9veQ2c zU*YX$TkrF=f3d(4I@dyWw3?y7Xza_mQzw##dc)aE0PQcN{O6UAr~_XPG8^c|17#xk zPz#{dk;I;>i?Flz%y#9vx~%^pvisURNZlCG9}ML5l$-K=;6@5By)EQNt6}orf&-9% zxy?Kk+h}ufamD`DE5Unfw0i>M2L?GnitjQ-YnVD>csasxXMmbLOc*Nb^@#)c zGS4m970#O5XvocT^kXgI<{lYZX%hNx=cZ}l!z;U$HEV)7(S4P$dr=FmO^kpoA5PUo z6(BMZaT3QslK5Mp^04I~T~F#>eq^fB$!MH;8<%#!So&Z?#=Q2xOSRn=I9~gRx`CfT zm+T5SZA>q&j@Y3QeECB*u;yl;=2$S~pAJ*U)pd%)y$Z-wECKgGR0p;m&Cg|U3D?m( za8E&ba^0_3Ijan%E)3{*VHrZDF(g8v_wQ}pd?&E1`{DBs>+dsrVKp!I83wm}JD!v- zO*~?=D6&bbB+eMAmC&DZv7W>)v2C5Dn({r~3lH+tqPjy;OTIZNmx8b=DYF2d;Jxo>>b(Vqk+0}2yGi`#fl*EytPpuzJqfPgJqCb{e;eYP` zREu>ZoJr4#t+~~`2W3{NcO;Yff79cW_LI{{M$AQg(`v30=9k~_6MuHS8sLjfm*IM9 zvsH%MVW(FzS`&5^&oTN z>;?SxtxV`Zb){3k)K)n`G}guDrSjiTj#0E-eg+K201=1`P^X!crN9?{ z_qwivxl{`y1~EN!ZIb;;e!*MBW#?7pmIa;$eW1GL<9*~{=^Qk>_=)ufOB0^y{U85} z6s>j8w5>&~k0an=ppQrO!c`2%SPOf2l25EM!%1xaU&?PriD_E}BG5heO#ij9T^FI{ zX>QsCR#=u}*nItRIaS$nN;oKIxDxlgmHz!+Nnygof^+p;VH-2~Rx`tc#q*{e#8Mdq z{Rb;Ounstr}7Zsoe?|N~sy4+`NPO=9(v%gBTr5_D4m9OM<>GJ-7 zvZh|mFr7GJldCXNTb$Mv;BMN`C`nVQk$F>HN=i|rusreEj0^da_!4L_7Ed`rUKRg8 zhtjsa{&OWmT>m9RqX7&K;b$-UWp#8M0T<$VdeP0 zj8TIBKV&r44O9i$=8K(_kt-!lQldE)CFS-u1>*^UH1)hkCj+i(bPNzSqC_DBuZ#xz)3*W z7a5ZPgN6_cEE@RzeHuYS{v97>z#LHA7=fZ>`){$j=s~4<`_aL6AU1 zO-<~$om*i8I!Ix9H_h5p5%*!7}B*4EF3<5Fu8~2v}PCxL!M`jf;U`|e8MZt&? z>IBe3$Z;$x3dzG@2ciH9CC>E26y#x`?%-d7iFgX-Jc9Qkg#)oB#{?+)`ueMe2j(H{ zX~bZH@4rzb>TsN@T$R)PU1&?IJ*fFX6gE+ z9A00*GKmrS`W$Rq`)TeG_VK4t<3ObX2MsVa84zxPL%;{N1^R=sLA{3ksR{cHe0~Wz z>{Hn1LG^)nKn{S${{S2?D)4b4M8AfF9saZ*>>&XH0df%;XyzerqXd9{Bjdsk==@E- zj~5~U_H7yRJP-)p*Us*ear3liDN4-u`A_@9p%)j~7?@Phes%Bns8CT=01(Kj=zvjB z(}92q5gZ*0V15xE?2dw44e;K@frHPE>``(0S^oNza3O^`|2F9yDJ=<5V#C0I z?uo~wl>~4=`om`L1NLCRf<_W3Xm&v(=;=YugM@(nW|XmjKn8t%9(2ct`w=BI2_XIy zeu$+31b6fLGWr3(Ap|wpS-$a+eVhnt_%GYP>#q&^ELi;5{hPt_KmCvQ-~n;)0Kx&u z#uXc~-FNhNe0^0)r*G-IcnJ81+HEokDWbAP`X6`;38hhe5^)*B`Bda?ZVJA7O6VL4 zSVmprwC!sMqwS>F?D$~$oF$kr_3Xf8V01m%-(7S&yP}hWgqLM3N#D20*NL`+I}#gI z!|CV7-@sxO0gn>@v}Xb?>mD!Q6_2LIsOd{wDd#5nqsTJGx5Cn69#6P=F^vz%Mx&gP zpc$`0=Hu{i;uwzM^c*foAc2M0kVv8&*q#pIjI(Bd{f(Z;2G{tsj4uq6nPZPB!C+qP}nS!vsLrES}`ZQHhO>(%H@x(7Xo zUx*bq&bfQr64x!l;OZ5{wWEefblfY|hrVq@Tn@xWt4)OP6@{6~9II?BCOgGPa3}AG zC{b6M?FDY-a64EUg89ImIWY|-f+_=6zY^IW~+7`mV{+;{Bz z>8veWq*$x@1!AFmFJ1rNus0B?TAQf1GGUmF^;9XM?-SC`Gpn@|JIGhIE?Zg0Ts zCqAA{zPXG~_+c+Y)PEE}R$O2;WZ~*^{@hwDlM~mXweI>fQu)DlLRr-b7+>P}Ov?jF zQSQ)JwoyjkJ@T4!mCxpf%s|{1ot&fH?Ro)l>MU3ap(e7rFId3$rfdci>D5MzIT3#q z@_nh~h$jyX%RJatQniw$Ns>nO78P6Oi>5b+rq4|81B}FWex;9QZEoP@XmhmYh91a? zJ5zU4wu(-+$~YB+Lk2G_P!q?@=yLk0>qRgqR4)n>|BTmj7Eutlh&zAw{5her_sm4` zWo8{DxbAy3#DV|#Vih3Cb60*EpvI9uCR(=A^BTaUV25`yW2@Adm)r;nP`Lv4xcX9Q zkR+b+b943UQT(cxOc|G1wu?67P8yM52R{V`kv7WT&D)Q6;g3WO1XH-qhJ?Czp4v6= ztA+e!o?n7Ozo0H{My|RPUS3Z-=n?N*R=hoFy?_MJvu8dN@qniaMiep|0yk$Z?4=S$ zRQP`CEOhPd$_nT48A#ijPng>Ah&wTH#lsLW0SZSrvd42HPSeyUu@O7!i#=MkF@RpY*YxMNe0Z~`Zt~oktUt-nQBuZH(lQsr{m5kKo^QNww#Xbeg5jNO=jawJE zYSdMEI=Wu?<*V(I`K)?qimUhppJYw+ zzjt&2H;LINxWSIScA#>MTyBbU+-t`$gUSw|rsZ&qi*&#^)^NbwlEVwDn^hv~E%Va# z^x#UdC_O53j*`0Mt5-@Q=<8t8X2}aYH}l9rpKd6PBtAD&3W#E{6(j>{rA`kdH_e}b z4GX8W%RGs|hu)gc0P5V(AxX6fvYnxO-Xt{Fst^-zxl<5X%ncgoh)->V{f8-bvMYEQ zbQDN$OgP9g-Njtw8xpPO2Nf04(H>zELMt@U-Kn|Wiww!D*@SI5QI*48ae9vp(Gal` zHqXVcO{>n#XZslhs$4p`=z9|KLki$=EV&YTaydutk_XNO__#B(1W(ajF}ZDBZPK2a z_mdA?4XT{Ah^g7i&uP*{?~Ej1sl~n+jf8BrNP8v(;~Phetwenyd$VcFXOw^|{3X=n zw$s_Vnsut=VMf(rz;r8NmM3HQ`0lxOFGlRZW)y2D3Ykq%qX0sG#^uX|KO#LB2U}ho z`)ry=Q4KA$*9>evV9=i9*|mdwlImUeA?b9;E75kTMiZz_w@qmB;O2H(x`AyKab{1( z$R4F2JI&w5P5Sb;s6rDBKAx^`|2}DJ&FUpaQ)wg0me;bEc6C#{8{A}gO%|?{1_{JA zH)<6dntXM~eKy9Ed9r6XT)X>H?MTx~DLd*K8Y&XxI`=r*$>&L7gk^869A7rn!d+Q@ zU}J4>9cRn5CV}(mjoYIPSEZ!S;lLfV8TvIUxDQ!9ea53f;q9H zH>Yt=R;~D08eF&A7$i4lQ>jJyJPIB9NJDs5(bdg!vDDUu44YKEOwVEL9_Ne|64V5G zWqdr20Z=A6GQFiVUM2{HL+_<2N&i?d5+uRJh35U4d}Q z#>OLywJ#f!6B3)5@WDDp5z~#Q+aK0!kTpM+Ozk#VlE`RTLrq#<3B|=8RKjzsY``5) zhZ1Ug9ZwN&bgypeeRyJ|Z{*vN(>kuhF9B{i#=1 zNMpi$z9bfgS*UP1s*@HUScTwjr8O%+Hjw9ohqS4pV#2^NOFpXNl9IOW%Ohx_%uZ(j zcRs^cZeXv!r-ro){51(Pw|OW?xJQZRFI{aDF+QjSIxB^1CCs!R-Ar!y>VmEi_)3uq)H+R?K+c_7xnr_RVHPY5c%-H?3BO+?0v@>& zv9xOn;s=M>Tp^NodrPrXGs@6M;i+S}%T7r+(u&`v7}2xcb|ZtwlT-rAb)F=@K;-Qg zfGaZHz|ib61;SEGp>9gKZh$S5lN4Nl$B5ZuvR4fYbj8TsH4o6O&5^kh7R9ZgD9xqy6H*MKijhi}8#F%kow5OeVokj|n}(hqLLl zolToH9Ix$GnbNP`Zj3kVST>f&!X8CHXFestv! zpSMCQGG-Q1UQRzJcT?LPeGbAR($k|)Aa;!GaR0ax|Eah>yU}Any!Rq>%2nGACn&Hg z9v6#{%()iGXTIdfzPguNb!Yp>a+y6gWmg76KE8kjy>D$Sia!c5ipXi&;%fwI8noPn zDJ+2Z=7kF*#T9BR>2z|RD1(T=fz>jS>jOhIMs%KrtC*Z6Q?;d?P;aZb#9H_#y_jQP zWvdm9C4=U;c;fvXqM}CIwozJB$ATbqBB%bj371)|{MmOuaO80(t>XE6{O)e<*KX&O zH6!ij*DQz@b|n{E(_I|31DY>zJ*oy@-Hd%!!##yvk@rTuT?BXZO4S2LuVYl?>BJ6o zuyK9?QT2QF^pBTihb6jwUJ%SYQ8k}0l+9j20>v?vXI9vOck>i&nq#|XKoqGD8G9@5 zzP~ZWvz{?m4a7yiP=nyQ5LroB|7y2gUtS(M$Fs>V)tp!^ttV8o%`LBEQ5;{I7{mJ~ zG+6i8!CUU{f}8bR&hLYSGHVR#3Tth){sQ5i(7&1&Xuj$nnePe$8PjU%ks8ZE=h#{v z&_R;3Z-={4>%N)&;1t5fjB)bTPR~-2`uq9Cr$`f%2msi4yHKgc=kWCH?3{u~Z$Or) z=9I^t%G;-~jj4sl1w-RJk8dUaV}q5P+3=`vkG3a<;)CxJmCtHiPMK3_-JBd9pPfBMlSRp6#>>`L!@;{S~Wn>m7irX0{C+aQc<=B_$o##<_GT_T*~w1DJMyG#f;+iqEoDrU~N zYa@vZ%E)On1w(*WOf4#0sl(=N=f*qjN(FS(J~s}`jg-t|FH}YN=yIOO_6HW3z#2MZ zNar)z0i~8xDwuuvc?^fEn@`S_kXSudUC4IvqR2|ISE$aQLY18$tYmJ(6(7!hcWBz) zj5$T6nV(%&7EX{3&K^=2WNe z6K=mwX|o(_J0_sA>Fxg1N8pKoS@rVOUDDIS+yPcM2#giZW-x>q0_&3BHr2)MJhx6| z!}alWOPXk5U2=~ue{JVNR;T0loM9qSo=?(ydma0TglaPWMxW^3E|vNU$XG&U_n z<|%*R45xXg_-(65gbkBvc{8JV;Hni@2MuySW6r9}z-dMx;BZLZ$t;KCa-DWi|6*?&Wn8@EFAESX{brxMx0&;sLvdOQK>#6kF`c<%| zz*}54XduWK!9<3zz^=&1c4%KFr#M$X_%o5rvAIzrh{d1YQ}5*ER66W{#6Zt@vg(TB z$BdNP(m#VV@$HVw_+f;^*10oVaJ=6UckiQxx73;^7VS8Ic&9tM2F=OCp<4;I?Uvb+ z-QF-gdF8S_GEIek~ZN_NN?nwntU(Q3)f3vPKzYX}OdrIR7XPK@!`&95Pb_(?q=cW=Pi{ znk!Wak8IB!V~FSvX%~QMugr2H%sF8W|CXAH>W)K2w+y2GFnoYtoGuL%c0B8f_H^$N zB$NY)-0(HL`yq&u^%5F@_{qM#cJ&8j9w)dxJuwB5PT7-LK=aSnL zbAHh*Z!rs6b}d!Va0gr?{;tl%?OQHKmN0KswHiDYm&x;G0nj8zdIobQ&v>1*ebgWR z8PU1D#CeOj5M#%K4Yefi!YAgX$py2i&QbYMb1F_9u}|Ctk43E^ zjbB-`Jq7R2Z$`&}IHTFR?pEd6{Cuk5(-*)x5=aucHk8zTmbO%=8=C2=ATi!0(;#mL zdfkR@p;3XW6$t~rD>=m?(Y4o>D}#s@-Jtt7O`)F5y$#&JfPjT_YU$$+sH8nD>-s^Y z=D0!w$o8xys|k(o=&Y&YxT3v66YN0K#~Xb3mD>9$MQlHB;YzLKl)`N&a~K`L`rkYd zu+z99+J_4vjQH(-z=m~M#!RCIdGs+?2Zh2Rty1Z!jwu3k&sqZ|G{igMVPiY@Bc{rwf-T-t<}yF_xUoaQf30G8Ic` zlE$en3WJs;H)~1>-pJ*dyyTmC=sPnQdXz&d`)ec_ z0QpeJzLHx#nK{kVO6NPQPX=06ZnH>M*uO@X+jBLhnQ}#uV7%h1#hLR1G+z#KUsJxn*0z`?$J zl~MU<`nwOQVfEi1Yb#V{lI^9emodgEhv1#)nHK%yzKYWE$_H_3{h>*mr>~CLyAp|E z?Br9*RNxaiMGDL8kO-NMtNblf z@8L6b#h8fsO={n$r;_3ps?l}d+wWm&`&oxR@Ba?_PE-m1B$VLcds&EzNXDlia-X;m2Jl@So3iG1#7T3nX!DEVZTw4pus=5Zoh+ zA<{&i+0?v+BHXUA9gH+86Q-^*3TG{vu@VDwjnm!PP5YbcU! ze~KC)25z?N>S>mU*r1BYKOaA#&ZYu@(b5{Q_PFzBDo784h(bGt(?J>nOGSGT@2@uq z2N`?#Z*Hk?zoSecr`V$ zCS#odxpI$rLBe#ZdN>49{^Ggl9}RK)Tg&8LTNSn+!Zw$QeV%S3bZd@LI9Xo7>+PRv={Kq>&$FPEazz;43mVx{C}{sj}Hj z(`=noBO5}cUHTj!Zx;+wA*yaz`P|}Y`R8YhUlWw0GO@O-SSc|&w&CWRNEQs-t*kAZ zfS$E24j@j*>3!%Qy7q-y9E1`e6$spt3MA;^{cR8=qz+@<;~f-vZMap)ZT;RvD<0+P z`4Mg*>;Mb`Z-*(DmX&^>?-s%VHedI` z6;2)<+MPo!IJ>Lr6^gVbfm&)O;t#IJq&N;F)m-1M`deWdZzVS|MJct$e4b?us7`-I+OOW4C4 zRd5B!ame-1$VsV-JlDwMqh%w%YeAeLr9~*peB^E<9##E@V~T+2@Q;?P|L;f^6CB?3 z1`E>h&h9X&1ZuyqQq46;Bf1~Ogg98K13gvCh&5YF*!dG38=PMH*A#3EuP^;)GHchC z!`k`t2()(9t5HBkuy)U_eJ$*}d9XfvXHME~9z^vtDHioz-Vwf6;g*z&(H5qBT>4Pb z=8@%L&DlEO2C1byQTWqZ`9775DM#aG+r!V(!l;3G`g?1OsPjK!`ch!W_QSR zZp$*o(J8iqI_0EXG)a6`iM9xibkEIjwLCxu?tqOX(I;S!K!uw#g)N zto)g=G=5vRG2BJ3w?Q&g7dxp5w`)|xAz6}I<`05w7Pu0q&Lf11{qi6zupYSRhD*$P zR{dSP2sS$o0@XsiGNX52&81oS(sI`61cava<+Qe8UdS66v zH}!!6OVV=N)Wv*Oc7Z zskVvN_V1o_(g3F^r5|yQL?TMWTVV3hg*o`tx}1U*GZK%^3-B+8Nm&p7dL%L?p@V{F zm|t=d;O~f2`pe$T*SbY4HXp#1vkTS)3EZuO*{J~DBtwr0YYpTB%$*ef3`Fwu0BoFh zC+;U)8*Zcbfa%V`&56q5T}9c|*oOArP@7RZXTZZR2~8#L47argH$ zmVM~OpYKku=QU}qOy>Sy;H+YG#s3UuIT-$1Fw4R4|Gq~i0!BtQcFzBn%rY`@Fme8m z`p4)dP?fB8B-$u1|2?_F{%tHbH}W=?IgLX)L8L9n8@T@MzsN%NZqPRfBpk8n?XNRi zpTAb!ts0f@uGbY@sxGd$SWv34ri{>Gm=ahAdlOSL10(Qp3QFKWYik^u|BiyWIZJ#m#m7Ynhy%b_=Q`jTC*T#&*Hzb-wKV`78{1wl zF5%1^FBd|f50 z0PYcxqbs;3z>hh4p0y?XM)J7WBiPWw^57CCh&$_Az_cJ7T`iz392$XH z-{m?0ET^b{1o7BDz1eUtP8z^37Oa1E@HhYY59+r#QQcr}f62)Sf|s~5IDK6pY9Ep{ zI8d1cbwitH2NR$SF3pcUOS4lz*GOhZ=HF|XXu61=^ zg`m*v;%c)HV$@Vf8&*IfERbsJ3qoU5)M*WX7+&En#ursXD#U+Xviq&AKr zlmpyKyU#&YzDOVnN>TYvb^ODrvao?jIP|Kwr7gAXhqcbi#weMkqf_d~w- zHGrxLzqB8rKLBdezXSyI{>xANVW-K=F5j6TKpNA(fo<=)h(kBck$&23Z9jEuo4?t6 zu`e35KY;6iRe8P4cU=YiW}o=bt}_#)2OwToL38^kL3Bpt6{_PZNe?D;d^37?k^I#uPLCB-FHWzV}~xl zCE_L1SVi4@aM` z9oe6g6_I(%3qW~Avoc9u68GfN#PZ)NYc)OC^f#*3h4GxiDo;Q$lTGr8i?M3(F66h@ zuJ{<&C;D)|G7}u(-m_m_4{bD<;ux7pp>AEc9!glRYRPFMocop*zgdn(yT%sFLX9KY zSNwo7OiIUVe3Ef*89A$__F_jf)0Zmj99lQsk?^U?0nVB}_9rNuBK}IooTUw~=oq?- zjJhXxvULnuYMy?(M9f4_6#hmK1_KqJzV`G7-$|Oa8oj3%P#~Vqljan1zteb^+EW;; z4L~~-{*{z|a{G&ueQ$cd2}y#L46);`X+Ka^-E!GkqUQ(aQlX}_@#hJQtO}vc_U+t= zR&l@NjQeKf7Q+amkSOQRkx?Yx8DS31!M|^>X1+F=E?i=_N4@k=BiKV_pm=F}hL53H z4Vvn)oh$JRG6Jq_hZ$h&idB2-&{`=ZxNNzHwt%tFInRMEM2& z=qt36frrNv-99cfcNo+B)~l1xrW*Z!A4X$Hhd-XSAkvkG}Q7hT7G7=Uo=iR3u8W*gF+N$fIk+BAtk zP2NXE5`XA}m3^JKcxd0h+d&K^<|~HMcqYIVF_RFx$gXjz!)+TUC_u4FI|_O+`WC-s zW^)`T(_yHplE$~orYUN!fRAHPph`I`8*4thS-wAHI> z43e~i*sHm=(oC_ae0&rFC05UKRmJD*1LcBuHgwRC8X}bIw@{UO2;|r)#f2g%Ha^+R z+^n24x9GDxn3H$SMx|jQI)-z8(da0?w&8mZ&XKIKi30~yf7teEQ%iXj9^5JeWbNFc zN|HxZS4dhPO_5B^^%FDogb*ou6lb7)w;VdggELr03}c@@yBe@Ahgj-_;z+=KCXT93 zqw6IlGP?VaQnjaQtVRKfE`W8_GJ z|I&{Z%qwr@s)JFwwbuH*ywdD9uf!yQIqp;4c6R&ik|YG@m)(@PK2#R=eY8-;y@f{i z&BVVa6NcFqJ3JBZ%c1^Lla#De?TatEl8BARI~M-~S^OI}z}cyM^0z(?+A#pk&C&q30MLY35xQ z6n@KjbyK8XRd!HDm8VGYOqcj_J5pcrGnaX_7m+C9-)Gk6EJXr6Ee!cmYz-QGYNXKB ze3m|_$tM1a^$2gE%oN>H7Ha$B2@>}yVhh0CvKO?{c7@7OF8u_)RD zpgybY;wvaFg)p5-1k)ye-cyv6)3RX-0fX`T{Zx#L|6RJA5fQ!|Y!sjrFTWtGG6`i< zy^7m+OYw<&bh5AP+Cy;Ixkj+q1>>_Drp6Xt8Ka=!CYCz_Het!tu-PR)ODmgU4K|~( zIt;p5H;`%5D(0=W>QdREO)5uDaJUTS1?IS{Wo{E~y?z?Q#sN_PKq!D$L%N z`zH#l1nL~o9x&lMRC7;P!p?M%hqRcE_yNM5fOBqcjzI>PDuD_Azc0A zo=2LHyi7cB+e|Bx>T#qBs^qnxp~5f!eJKc)@`|KZX~^j|iF!o5TBrV3;MIXivO^Nu zYL5e1lSITI!RjDTB9(3o!i0h4m#SmL6r5n!g3RJMyHQrA36fP zd6E8kdm}ayeX4D;PdQayT8El0bv3uwYp{j78^I}LA9H=*)N1gM+h zayU7vdF-x#xZx+uV;03BH{q~7k_946nN#|Gbds5XTom4&EY9ubc*DZU1gUI9v?lZ@MLV?BKG zJvYr?#7@m5;U>_6dGj0%2E;duQaA@#KUlj}yG!T$&|9gy!Ft(H+FMIRjwJN55X}ZFSKKqXwb7V+I3B{{K*NL6-dsYoL7%|uQ zs(x)RsBKt}V){wb7?2bTyoOr$&jz{%x8z_ld$?Pk_r)1!WY&w3W4I}u zRG9(Rds?BuIet5on=UbaxT~Gp<;%9|DYnumWkf(VAxB&?Bnfp3l^5H0!Rj@9hN0JYAWL*$+|t^Z=hG^CANfRw!TF2OBM)u*{7S z>Pd)ZWCk&gafl)n?cj&`GO&y0yC!C&3q#3X`jf1w4cxHOr}IJKcoJ_i98V;$T?a6QeI&f zRn1FP>byLVtVxjp`b;VP$&gR+)tHaR!?52f!u_n%`eSm-s7i!96|y-PSXz@B?n)pH z-2??MIECJ$ZHy0?2z#zl`ZONyEe(lT_NzN3_*MS;*q-CR>Kum(a%)>(RQ-~VJ3@v7 z-nD9|p;G>sr?z})vNbGR7B~4bt%0JxGCIU;56`^v*Z?-XRxvZ7FHp12`jx~}$VSE# zwb_$P1}^fjnR;E62@=EVuZ(?4V0Qog$aQgh-SDd*q3s5_}Y2H zKFtE?Iq+(K&bP(cc+;T&fO^fSWl*Hd;#mdYJ}d1wA7I)k5$h%=lRmP;b?2|m(@_M!6XVp zJD6#+!tJT`pVNEKRPeR}G{ex+S2O}OyO92CK|CZ`dOqC3`W`NfM|)IS|6_!}|20@D zOpod-iax2J;YHMau3VLEZMxW!Zx6Rr;C4^)kN1Fm%STNEb+&L80~DAEC)Wl%3K42l zDjPCQeUikOwtQngb2+=Z@;N4z^8;fgt-4E%a2QjrFj%$h^mJN(s`wlpELPt=*`PBQ zV#P`Aow!ON>S?P&SK(xC9jRG$dRiG%cwVA58+FJ@tV?i;A7YqTI=NW9x(|-9>=BX! z(oRef$Ikw=J9$1|jN0h$c>I+A&4Q*_ryAUicp>YlxxFMS*r(ayp6K5$?WDQ&n)A5I zTg!bq)0=CGnjwQkAKdSy0o_s|@hN_vS0XBs&M|f4;a;BB=r~sR#)cQ$+8dC5ZP|_4 z?f!7{r$g!8as(r(XO25L_$pkh>QNDMQamlXnv+>KiF_j&cRtk(^yXI=U#$#Axla&1 zBF!>ePZ1`+&KrR><`D*JXK3KZ#tonEN3K!jf&0Cm5tsX}OTzOrJO~GNq;eyjRrZx> zG6t|d-js>CtHd;Jf4G@k&AOHe z+0Nx}8A}1u2wN>fRPaxU=wV(ln`jIkItFpuU%|=7s2z42eev$Kd8BkfdC#{-8aCHf zXf8x21}IM9Io(r#1Z5;v^sd)=xDK1J^lQ%WPKmUxk|g%cj+**pu;Yvq%T$$9nS-)p zs&ymb3SB6waIl?nNCsqPlk%Q9P%y@a=)=kC_PxH?1yIEC@xFBG!Hdq!C)}fKx~?bm zdqGUZE-tc z@rc_E^OERw{0j< z^15mzzNMpLy~%k${_6CoNZDrGM-sx|isOdP8}??7A3ELa$zLOVZiQ(4#z@zXpJIL_YU{Pz)J_%n zpEw&TdMACgp)+QjIkSOdBPf|C>cf!g5tiZ5>fg%x+reh7Ve$y#(j_to#=v9Xh>cn>p(OeZz(ryZv4 z7WtsK^2F2~I=4DpJT(2;S0?2)%HK(F?tK^FT6F-=E!I*27>6LQb~bI8=t~?FqTwv7 zuQZ1%B`jXEo?!6c8QmSaeAd9-i(k_n_K@F09M;M%6mAwGd==H5yge4EV77dyv0t&Q6kYkStS|+sgpnczvZZ zilhaZwk5X7Uhr4!z`HeQ7<1h)c}|ju4yK@RuYH>2`f1f!i(!-51}^B>ZHw;Aa9Lf7 zolFT#=rajVjv4fCbCDI9+zR$2+QvVa|K~YfXXtpxCF0T*{MXrab^K;MHeB6i&)>|o zY<9JLTqOOmbLQoSS)hSkIu>V_)mRrik2N4=b~qtT#d5!yldCBka#>lmKA-Nmxv&_GRhx!!mCCBZ#g>6pu#>#?mn4==x@0L zqb*4caPCVlR;ksaIT&@b8&;@!@(JCxC1;))&ZD7FN zWlVY;?A=4HCM7UHv6q`8<<4~Zwah$8Qad$_>mied4^JTx;pq@FfQm4VaO2CINMc@= zD2{sdQg`=DO~_1EGmAv71v{&}hUwz=G}9v%2EJ5Ts2IXXu~O$kscfBbIn_Tnvu>#V z@TYm1i)lpS835!Z5DXC=F=l756A%G)I3(CxR#~SHJxAUs$PP%3 z-_To<4Bq29r)7x2cg5lbJ#?$#_@oeM5KkcK#26LwpYGC210gNp?&VDuQ}tI&w&qId zJQK_;AdE?B5lMQ~*j%uqlr5~@bH4q&Y3&v|DuflYcS z3S)T@mYcieGAGd@{9z%%)vgtHX3I9*t60NV57el@Iur9b{3kM8;UNqXWLuZTSVsSL zO@+qOA*KKLKgkZ(6~otO|z7%I~4 z_BvVtX;TF4Inp?V@*3Duj;GmjhRS^Xm()gu<^IKN-{>|Km3CO&Yc%|)?vQ_e9@FMZ zsEMbRNSDRi74w0UkLbmSE~TI{c%ki7TUB#B5p2oxwL<>>j1)%=qbRLr`Ur{%84fx= zS;bzx5kW!z8+i+8u>Q#oTMu`|y#fFOemiaw=eaThP8G`iX_NIYzfL#-p-@ znFwq>Yf;EKLDaOM-vDLi?Sop^CGWwC$sf3H%|d@S>h+xlpECV(4BiN0Swzg>JBnUB z{Dy^SH^*{!*xw!47s z{j9&-Hr9J91#!>=9!;NhAl%}1Lkb*#&l@vG3E#7p13hK~vn5N@K)3Pm=D0eGR<>9k zZi&jya=sCs9t2$u%?_@2*DifV()ZA+gdVAnC90*$vd4F(N(&+vlgD)s)F#Ie@OGx$ zhHEF=MYs9MTk2~0Vnt-RZh!f;$BPK`$#s?&$A5>3c=bhq&lmX0y*a_mlurhpE-+29 zNW-@K4R&PND+%pGl7e)MYi;&=0AaLND$}NFw0CyJ0Ac2@tM~x=HVQ^DL@})LvE0RVzQ{tN{*F~I+^u(cLyBnasWpRt|yel zHS9Oh&o#c;G*z0C#XXx=UF*yCv(qO&wk!8~(tXyl$cY=hUjIruAB*>D>717653w{p zp#(6jZhg8%TsX;B+{we&>4O1BLH!PN4+~Nuyg#h@Xia#r?Ry}r-)Oty!Nr#!768_OMn*7GOmSqW}fTJ(@i~I~In#LK+&QXZnOAliNrE zWq)E+Vc3b8sjwd_gqlV?wRYF)8$p%?)q*n7W)3lJElzi~V5XsDTa*1VeyD1P)qpbv z{Nd9l3}LcSu-SlXPOW0zX1H{>Iij8(Ntaz2ZFI*x`Bm53$8^<9He?;7Rc^2U(?1ig z9hz_`k#&APDRJiH9g?DXX$`W(QpVUf!EIm?}f^d6+moZuh%<}7FJi0NR6I%W1tfI^XuHMm%NdzBPKoZ((pJg<04SFd=dpk-Rk zO!-Zw3{Y>0OS`{VpTHlr`kC5Z;}oQ#<4NFr!|mGjJv1A99<4D%zF+V)R0;8N$$ymN zZ@|UtPM_$r8<4q8y+eD>+)t=IrrX7zo+S4Dnp%a{S!3P1aqyDdI+HrA>_VDlTw^!L zYGCIgOK9xEWr!jK@sc7SH+L|iq31t86kdS3gnPid`BfE7*v>vclyEsD+FQ<@5d3CN zx04{j^rq{h@&`X-0sl^xCVKv%Y5<6S;d+k2ER3T{C^l;D~?oodrxk24j@Lb)fJ15oMV zPX}Z0n2(q~yj%(5rQA0`^a(Sx;bZq#Rf*`P6ec72Y%r-)stZSVc8sU%Pre<11LzJr0Ej`wSd4PQd&A^aXw{yJ$L23sZf=W>@A zoqt&4MLLWnZX8+a)yaRm?qZ#Z?N}^foB03?)WBF zMe+;kwGF1-9~;>)Wp+VHZO7-gjfv^KnBGXJ1xy+5RS_m5c>4Ke5s%oc6=J)a8*ik{ z2pv9n?~hzb{*P#~KBc{H@~)c8lv6pTpt8=7IK>DLC$q&PdJv0S6vL0^3hEjaOk+!XhhN|85MFtshybGSe zIEn5iT~B!r*l{Pzwnv5$*9uHrNm@*SlHQJ(pv-26TecN zr+F{tpuV5P)x8RfPlhBC!Hv~NA*~9%uxXAQpnK!kX(hXy&Zs#D(oR zS~5q=O|xE=QE=jqoWva24H5e>EOs#gSX|J|9^6a8wwAO`h-TiYro=(!A~drL?9&Nn zXD20M8>l+bRF-7u@fu&aZ~h?d-A!ni8RYTBIkd#<`qN+ZN?AA-n%8P)tX-d_VHqm( zRIq*RRaJD*Y?_*mV@}n>%VdQ5S{;bmP#Lmquu3S|>&Y?e|k!dA3huY4W4=_vW2;wS z7{E|9s%M;TVZ+@8YXp&@$Rau`gD-~tKwbKb^Ed}&f+$NtP#{$(R;5;hojx@xjWc<2 zFGU@E4H>9be<_tKLG7M~rwo6iLYAyGI~kIndQ5L{YR@MWoqwDRUzi6_8GxZbS(6*=AKVPYxNB^( z#_YALG&=yKDw)!5pA`72 z+PghQd?SJBQPqPpB<@hRl7!HzeUhL!#)*@7@b4D!Ty5!SHJ8NMH0+eLBltu1RRM&O zT_5}09El16*S}?`F3m4}CTZ&ZcNIOgmc{8lKIenQb>*h%(ddP8vN)|dTf}P=0t%8< zsm!K*HB3QJXmpruD_E4+T41gwNiKkRm%0Cidz)1u)@y-vmvGLVh4JytV_j5O4yX0$ z`ca9LG|}A}9Bt_~q;%f}gpL+dKC9)OTEsx?^enr)PRSQ?N#@UR2_wG#9W%goVrxzG z3}&}Mii}?%N8L+hP)^PPWnrA5tI z$HZ~lWz2Rxa^PY^TN{Fo5))t$a{YO#zF$#9C*P~$Anhs=Z2rCZj9FE``;UYRz9;c# zx+2V;OQe+7Xe$Pbu{FomzX~e_5Qqw0ZP(=nFs4N~_-C|j>d1gb*pk>^H9avSy((MPnD!Sxsqc0=co zujvD}aJ;zc;M#3QYMd}%k3jIOvh5|D5p7IQ2@zL?h9Ua7%sR#|B9LnCB3Hl#CCTkL zS+q}Z&%>Ak?rSqNTcas;wJI)lf9$NYhJ?1UXio7#M|iEGRzjFTqvO2<_kkPVOqzPy zT!i{%lm|nX-DE2S+7lz4hN6&MW%EW8gs&hZQb|9JHDfJb&@2_;WGof1EU=8iIdi`KX4B2z<@ zypDsUCx|C}nw*K1X~yHf?%~%~Jam=!&18j7OQU-yaD>$beq4IwT}Yk3 zO&LqvPTufei}$a7@N{9XK4Vow2co1@cq0B;GG57U zKVg#$NV%~f%~M`{gC<^0P#a8ol=mfAsDWFP>=wiOae8OkZshgo6m}+)HAF~@l!cs9 znpB`9fEJmS#()Ym7mh^WqAbCJT?ljM6iEJ=CG5t%P5I4gFWF@9cA_I?jzp7fA5ZJ^ zeQ6WXWyfMC+8rws~x^^Z3FI+rH!28lX=qEQOmypwg_q3#Q8_GOy zG(%bLLWN=CLK7*gjQoqq4j{xCfQA8kB4~TAmlRL2MWaxsg2+9IeesBBCvdLn`~&i0 zH}P>*riX*M*a1XVi;?a(d&k^~RT`)K*MuoIs`JUrq3vMFa#g8mq%|eZ%xJZPq);@O zD`4rm8?QGI^bS8C97@ywW9%H7L;;pG+O}=mwr$_GZQHhu+qP}nwr$(pb2sxMCgLq- znN>fasjFeRp5b5~o8P3(M-FDmoOK z;mX>av4to;zKdSO(cOUAtB6`HKOPHkKuynkxv@&C;NA$xN4!#yIO#+d}_ zB1(4?S?V2nP8~wMJ=v&3RhA@F{Lft1DyiHPC~wIOj|0#VY%3iapIW z*t=Fks6v4&4@iF0w=70FE2$+8mph4D>d0aRw<3D#*P6lKlskG^`HLLNMaz0iH>0$x zD$PgUSZu0aj*KrFZ4)2^s`z@83U|$E%X>;R5FQ39KDS0AF;9LzW9)xnTfWW(o=cUer1l^Fj%NyM-bf77N$ONnZ& zBeK2GQAn9N#ZLY{XXW70U)E3c;6x=W6K!dxfPB}xQiqasBuM>hetF$(OOS7*c`Z-= z$YJZe9CYJIwaf!6JKbpYv0FM{Z8k=j>N>~fUA$&txv;_r#4_cgB$^rj0|7lJjNJM| z+Ev0i0R|*a_7o6V5M1=@glXM_3 zt%aprbI5D88k!xL6Yqotn}k2kq)o`V%k?PcQa#iXz6KDrQWXs(j4IvALo)HuS;Lzw zFlB1e-L2I;6Vi^4J!;1sS(xS`lQ|mi-E5NEcPLyBwnY0ar9#g=@Uo}D7CNSgfa5Nj ztZ~TX2V1J#I;GKeJAN8uq?9YLb_Y>yKP7 zYCQIIh6DoCYEB4yZnPJ78}R$LVesnAM)#O@v~NrCSA$^>ISpj6b8S|-2Q_9bS>D4b z9xGUpdQdv)7mn*8Ck)OqE5l7JutJn+rm<9Ieg9Nw9-kNtj&aV_Tj-R#iDB~Rba5SS zS!zToQYo8{wIx#BYwcy*ql|zmJ7_soM`767sTDC*z7zAa?Jnyu>!!yc+YMNh2G3!2 zUJu+I9N00(u#++{?s7Uf+XrYs5}4G@)%Ew1bd)bM;&yWgTgvFCQNG~3YVWx7qC_qd zKjq=u_z5Z2OS?02{_AnVnzSV4Xgogq^vC{HaM7SVh!8QH=4wToy$Fz;Swwt1%&OLO z(7^H;bJ5Dl@{Bn@-dLwRrF%ObT^tWbal52d0WF6_b zZ$QfRr6M=OoE`iIormvW-zT{|!#gCguy~rIevQfFlbioQeNI|Nw5VJ&8({WxeQ*os zuNZhQ9Yv9_A05e9%4TrfLDGU(qgC{U3H})}`v~+{9$UMWV0fYheMR}(!**0sG>gVz zz}_qNGET7q5o(54U9DcUHzP3_Qi9fpc}q?STgjK%L_d!G1d#nCF$G3&l4}o@_rh9# z2ro`Gw2)?qhs-?-<@w-lrW>S|%_Ut!%`hZTZQ*ZpOj%W;Nx5SRTaUW}6mmGNsE;=; zpdqDrvS*t>CkL2G-Ce%^SMX7WrxQcsZe(BYW8AsSu)}e5zr7lzql1^4N@PFlSyU{_ zs@31BsccAO`wFG+dj!;(rbyuX5xi`Xz6ZXb0j7J^4lYtJc~l6wuv_0lJ@As~borto ze4AAqEL3>=u`VjC{BrE(k-r2*}GjHyYK{FeafZ z-U|QcO^Si&cbAV|df+v%@4uR3m^9Lm$NkQz7J!aJv8uv`CoXq3StrpLCSHiDI_2R7CjoElaF}>gGuq0uwFz>Xj?{YHf#V3< zrNf_6qL_ehn^{S~*7D4TWy*xGRm8d~q#ARvu&l*H;_i&Tb^2>XXGbK5Ek0}F!H?q! zBnw~i7ZwRtBmMH30}k7-5LtgMqZeLcdOCBoL|(XcV7r)Ay}m<&CL}A0F@lRyB*pqN z!Q~8+qAn1vjRU`WBsW@tfE;WbUS~SPW@)$$?HQrp-Pyo3;c6 zF*l}QnW_I+`g)#Yf~+zp8DeVH3^sP+pY9pl5TD2+CLP~QptQBZs2?=U z4=zpnWgIj!oX^}7(~P7ZXXNMW#fn>TO4%~^qE*5wj43JEvfcFOkCuV+(}+Q3!iKQ! zC^WKg>*eP-_CG((^vdN$1O;PJ+x*(B)nczZX@J=v(1+lo-@*eR=W*- z2jALBT#SO5UonaBN9-xdek#$Ok!hNooJk%E9uC%i>mNci{_~FUSM`F~*O~Y^zXf{h z;?i{PR8<--ENqDom%~p$hs=AO4RQfos}FSl`LmT#RQx8@V#EIVyE#-WAt8O2bVBCvbblq7HU zIV{#h3M!v_2`^~Id!9474dJply%w-yo9Qky1wJLF?`_J4hAvZ0sIM+`G0Bf)GY{6e zAvVa04YcK(6xEvn@{LO34I5{%5ZLdlR3EFaT5CoVeu2xkM!Ww@D23_2g;H2JSpPSL z!bI@T3izLjnSkMcHwZZXt^dDmfo|Xm$eOFwKnn@Fs1QU8UbPFwZWcgD68-`b{=qw) z61TXNKnq^CxPtLJodn&);r?G`ufDInyI#zVgP< zKpXbZMa*-6Fl|l(geUqK2Xw=TU_jgeH?H93)D-|r*L`*T`YHSXY<+rRzZ00FPitYFwXgengSL9N+?d@vHv6vu(AI`OUDK;|G}1h_Z?dAEPv_IAFk*qzR_{{Z^HNb{WxO^gqJR#I(P(Pu%pjes`UJvmgA7-fO9TDvVf8S21r0Nu+kU8BOBtQA zI>kX8MyGZO@3Mn`x~p-faNs_QS@C=U0p|Jv&mw)?mfg_!`?5dfk_qZ2?dX6xIQ8w1 zbfETZMdbZKw*Ws^yP+O-=1?R&oBhW*ma0NaVbcj5R9 z08Y2PUgKy1_L@37O*qbSap(ZZ7chS|e^wDrV&UN20)J#%Iw5~s{Ce^9>!89F*5Fz3FywJ#EwKSvng@pW&>nD|W{?1{RzeLpLr%{V^^5ENE zT0f1qS<9sICJKv=nO0`utEc-IJYokSG=J(5OH?l zOVjrHWNa~y4fd{ZtBtwhH)MX9n}N^Dz0=r;6IoO$`%A4mgD}k0?NEw4pbj6ot>ElU z8i&3WegD;E(Q)uO64^f@(CN+Gb7f(AQwoUzDAi1#2Vq+-s;!Y(nCYz9K(4k#_H-BA zDD7L-uQd7hmtOAsvyjIqa{$*^2h`Z8mxw#u_vl zRH`7wCy21)EafOyxCeS{H(P)ilHxEY3 zE>8K5@FVjkRqa_>R*~!Y(%wl;w&Pv9v3dl;dG$gZi%omCBL2_Rg8&?t}=)CO@{w^tU_?U+I9!@O7% z`18pInUJMkxs1pIA8U&qNP>lq52+{WYj0{8SY{DQR9I({UnbZ(EpjGRt#a9eiLKe% zqKk5F`#>_ok;v-PO4dkOYgByF!-h_w7y?$QC{bS<8vdyLn4!>w(FT=nQbzeKWq8@e zh}bqigEH|1OCGfZNsHAFmn^UrVsMVyFnSX!0-0_4hKxfrwv!{ze@hI1naUjNtlC+B zBf8|!lV~B3_3v`mKBPMvl9E5+Z>UXEA;n*yF?MoXY{V2ZhzUjq55AK;2N^rZz0nRvVi&!Vt<+w)Gq?*~vhoyU+GlL2uHU`b`oUh6Y3q;v2) zPV#DeD$8VJrn8wA!SIWPphxFUM?k-(pNhAWkKv7w_`r%q&RmKRQX-pe_xR5Jm((w{ z{=8f-`CzX0oPx2S>~-6Y z>n*lJR~x`YE7gm2IVF=@?oaW^AH3*mtLWLD$3f@H>rnzuxw>z!O}Zcusdy8SFO{zi zp>25@U#{CS-tJ_?8#_h+ueam;wVyoO^nwZoXAF7S?f^%dNCbt%2V1yd7P1?sIk(?4e_m(U7XfFe5W#@K3pyw zGy@h9&|A+NNyv}{ACluGtA>)auq1S|ydKVOEVy)JTS(h=T8zUIaxt^ALHbFR%(`7n z{y4RD4}*P#HOD@zZt3jBC-<(%x3#Y1w!;pLJ$i{@lD*r~=M!MidPh)QFIegOsXb^r zE3(K4*7tdEIiDCVJgJf8=|7%_Un2Fabh#i_FuiRmykp3|OMQFg>%!p(3a&Mga$Q0I zgT|D#bv5>}Dtf_^?F{|%@Qisel3ah3X(_ZcNt^kGI+(4up<3$=ZOY9d)}VAF$;vTD z@9$%1-9R!0gUbo8DH{PaPHC>5kJrq$SFl}26mKWg+4m8#dy*>^3o8|+bc3$GiEug) zc}P_p{>_e%7$U=&40x!%T;P#bX&g_Irgn@d%rp}(3;m2zDlE}7BD%*0_nv9AP#rD4 zDzR9+Dg?Ln{H&GM!%Q+?gNdD6q7C0J@ca{>j}o#7L~VRf73MVPv&)69%$s0s9ER`6 z|CgGrQlF)_Ejo+OKGh*&fuG9^oBzfET{xEx2e%Pma-n6DSI%m18RLoCbb6kOfM(;5 za7>bbNyPlC80#BBb2}E=2kqlW52Q$>iPA+Q`nvq%7RwRwdur-(ZD)jK+ZD7t8*R!U zWaeemaPcq_DTD7^8kH_xy~0M+wf}Acq+Ge=LN$z7gu@GYx+eZd*;+dq-gVsC` zSG%^Wg&E&|AG)+gC{}8QCq=)A0VmDGEsMw>s*r``(bCIBc6F-Hb{4MPS-F#HE=6nm z9P>SlLq$n8$qODhct=5Eb>%yqEU7vza-7g?yAJay0PQQ#;v8ohuh|ugQNAPxyCzD) z4cO}6o7t~wDJC2lq>>dh;gN$aGZkkIJ0L+>9!26SO811ZsSaCmGiZ61 z>68_&jY1Tp=o_rt$(Zo^%g^)PO@;?QMQxJY2O^(3Cyo=^pLa_RksdnN2BoIgp730d z5Il*9A`IJkSsgxFHa^gJ1o`% z1G0kiZ%1`glnN{3h+#at*}w43jREy#av#id|FE!|{XO$F*WB-_E0 z0Jb)rqz9j+ekA`Hl^k=O25MW{v`L=@o3010uyR5V6933EVc|sU-Th2Kq43%vWwhee zcmDJpNp6B@lBLiZI_6|=HWV4!_IU0pGoLr9HGMKoa0H$qB9!*5uREGPU=bkulLW6` z<=tQVIJ@`~8vxqWSuHwlNTyHU=zX_Z`1U>5+L%9T42CBa+crVc_ELkAe;Io-4Tj;R z>YwD*O!q+Lqar@VmI^U>4Rz(*RZR$HIZ2(9+Zn;=ygyp%IA9%UO$DXGiLJ0m(Y!ti zezqQpy}(G9Z?HHb)^1kIREqOOH&Y9!@}v}ekdWaae;{Bk$vKJyxAxL($F&K6$9f@1 zyiGvY2sJY*?OpG_n@Z=bX)`SX566}(ett2#3g&A`P=a2Ad<-9;1MN3FrFT8eN`z?f zu||0Ub=tg!eWSRFdE$jI7r6SN-^pqaV5!ild);xJzuX3(K(ie)Fbr0F?eSj7D+3di z_TW3NN=ARw@J8vhZUSu1?5vu|nwtBk)>nfibb^kS@hWW(jf&1eXA*|+TZlMwopuYV;&l@A{EW;5~w zRY$K<4qysDL5`$Y=c2KJ7`mE9GeSN~1Ap}GOkTm!5OvP1`b~>-+xvNJHclq8_@Hb` zyKT1{xBD25wT{jS#K@=WC>il3BnmB{HOvENcFf;%BHfXpB+W1=FA}5!6>JqsUQRRz z;-Rq`kISNSupcR;4rZ9^Qrgzx;Gq`oNtudq8ukvPv8L(5T$+7f;~o2y{{trsr6x1 z4fUX3Ka*Ub-Ua%lkM?Mqi(ZoKi=aObPUSoy<4e_Q8~>mAO)=#$n-M*8QO$J~^F{{h z)FM80N5Vp&$^`$Cg8jRgn*d^Y}>( z`acHH*9mFBz=!akwNs{o(^igD+x=ODg=UZ<{2#;LVPW=qb8HX9oyOKU6yn%|T%ixO zi@KgAPEatJ)0JL_5--Psi~QsZ;%bRxdRtsc-vj~%E^f3(3g8<^sm<*;u`C73a)UBr zrs2>EcVRiQWa#~0Qe%a-O5h9e%k4Z`Mjm{}(&?@#oP)yc%C9r>C`WIzt7#GE z=P+`Zo*sIHOJ?5^XN3$oaMW!MkxUWZ^KO#epURnI61s20m7&P!Bh3GzbB&knx)#Pa z)k2Mc#byAmNM*oHk;sA66TANtI--d1S7K6 zX)+G-Jq4#LSkhgE^)@Z=bjRZZ&q_tq*(T!7FHFd=YA}jL&c2pA(b+1ocVnz4sv?VG zw*Z>;U8lyluPFAtVsxN~l5*=HzdWrROJ~ejom(-KyeTjKNy6bJaOn!x_PVtG_#myR zkdfU$hmvF)m6;SiG+F{9Mu%wSDwEnJfBn`2@ER}!p7VreT}YK0Ev-A~M}l?Pd+iW3 zDNn*-s#l+wRoG|3=@Q;$_~dgI>OuWxBlM^U>2#N%Tz=K|TD)Sh6N4qyZKO#9M z&kk8{;Y>Go>fCCdeAA#HV;r%Nh8&$z-N!FfE4%O|h#_kFrF-3N@B^wWGiE{+@Yy&| zWKV%#1GtCnE7Ug~+_I&+?_4N;UgVl_n4pvG$NkGM*Jnjh1Z`(26|Bl{if?t>LWE_t zZC`B6Wv0?+N>}}^I**6tm)E8&Yt?hF@VkoGzk{FV6VPm!ioYxF=MQMroGi6D8{uGp zskuhk`Q2vk`0p6OoF;vN3^8KyjWz>ppv4=~eF`vRQJ$7pSz|S|^_wfW0X?H$%~nsT z`5fTQw-YD5^4xZ1hKoJ_jJ<9m^9l|j(NQIgQh|B8MMWmh5g=nzFd-1n;}s%hcTfKv zk1-sp+RE>!DDc>~zMS9??VsJfhhX0_`zxyT$0nSA8!XDYE~Ta%?YILTW=bPk0pXgb z+{l!p{amF`8+9t?qTJF~a@!}%86{YaPA$uN^(N9QD`=9}aAK4|!GIMxZ&X^=Y_(DB zI=enq7m+zR*0oKxfMwROgGGujO`wRcxF z--K3Qg+V3Pf86DV-XD5{HN@z}eqdpwHOF?d$;kB!{y07qU-&_Ive+o= z9lHZr6V`bI-!WF?T&zf}tnI;i7hd{^p~S-Pb_crnj;`2-_tBXfnO(Bt@`GfGnTYU# zxKOmjNI2}sq>O`c`PER@SPVCZr1+g;swAJbDBc-D=kOU|P5W#A>xaBh6T75Zvc*d~ z4jwFH49|#?bab5nooP^tT5I$V+OlBs%z00(k@bn5S!BNL?_ zmgnA!%F*<6qb%7@3!N*hq4jqHXM>oRVFV`RQ?aS4V-;|yV3GpYv;&8@T(Yu_@|8H! zf#U4W*>?yK)d7>}F}28K_>GrA)up{ND93}+ow~DG9~)mwV3Z?nYck* zPI6AyYtuC)dj8Gg->|3{HkwMs)b}1&65ui$Ef~!6*4&~anP#;9OSnjOWp@v?U~60v z?6X+>*9#m>2%OZ=>JL7s8B_(5l5p#B(Df6>d7*ST}eZY@JAu{ii-zMNE%vuBk(Nw;%O=AWt6F?|K5;Q`?SZtF!qyAQFycu%yC|l z|Jr%MQDU^yJezU*AL-Mtc@9&oV2FM@NxsdDYFJr$AGTkfmB-gF^(|2(26JJxyz0j$E`m-#5b#L!#yLt9En7}@Q0E%AbJ0Ch&kU@ z^IO+ReM4fxCi7@#`lXxI-bj}74tt4okpiUbUW10D;0~1C#K{P7T_KpB`_DhA0yXMX7m;AL#LMS7-{4j2*@(GR>I@ z?A;!Pb`+~#ENZ*k@lEOIeBj$ZMsAzWv^wNftx~X5ehP-P`N_ zc&U6$2MazPQ@@N|^1f5}ln*T<#)P}6ub0Sn5K;T)ejs68F)TCFD@o?6#j-36f6)-? zr~KwjOMB*69)MyXMi0y8kLOU)*x_bKso9Yz(c^o`0p1Hgm^0co&87QX>&g2Bi;bJ! zQg>ydxP~N#g~rZBv^pq5x!(@R^O@TA_RDo!O>AFqsYY?XCCKM z$zhH+-umi!?($gg)>ifXJ1~kf@M76bNk0)nUZ!7lKiW~=>K740bpy`9+|IM(a@zOP?%&>sOLSOZ%)dPwemVmt-26wJ$;8>$-25CJ3RiyDQk_ZWBVHRB(GmMFK#`5l ztW(*#tIUa--E}5FcEe2niAxkOAGHF1<4H%xFKx{a{d7V$5$c<81+^Z#U$o))TZ2{r zga3C2FBWu5v&r_hbgc9P0=as)S!1B}h`yk^YL}N7a=ygA{r8`)vw?ok`O)>#n2*oP zwp&)Kdwa)hx_!2%TrUEen9go^6}pjqcWL2p^gb9LL(|Ne$Z0N;k^rS+uVqzEUloPL z0b)y$vcT_jRIJg8*)=dd#r^Gr(P|0}PWC0wCh+4{~Dap(;$uqGVtI$Cp>{^ z#e#nNki~;f+y#mjI#Mh=2UIY-P|7!lVASe~0BuNG$mrJVfWFNx?y?OutcGIhX`F-a z!`WfGM3cMw+VUk4nqSJ@g9VUcY{_5=HG5!akd^`R_iOu^@b zP@20XU4!~Hix@+q1{YOUnmP$o#!@H{j{!ho6~j(GP&HX|c=97RXZxgNBuR+py{dht z(3rC#d|FHTnpYf_zhbq7%YcC_qgpu!{-3`mxlI1A0g_>i=N##I%^CdrN8+2!Bb6C( z7Hil${)!hTJn(i%&R+zQOk@72qnt4Bv|>9MTd5UU1UXr_)JJ>8Bf`ndb9B2o6eBKqbtZ$rGf-K4t zYZkB26JIn*uQjM>(bP$5CfRmx&G71U%0-W($OaZ6(b0}FsR7HU^9fC>gOM}O(3j0H zGUM*2*Ec(5gj$aM#_5^&WeCM~#DjMD`gDF!h>%`fwCb04e;%L&kCvu^7@X(V^baJI z<{CFt*7b+Ed4_;}{ZrEx*&1fSy?T%hjUVquo`FW#GE3 z>kZjOEvE8opeLc8vSiZ-2vDF?@SZ7bOxJP=`Q8ef5+SK%JKI1F{O3cJJ;F2{c5}@m ze8wsT7EHfCyS+NBzI9esmMxMgXJ-iIRw9MHM!PuqM^ehQMqKPYXtMSbE7}mg60&Yd z^~wuk+_@EqR1rWq-KZHTzwWc9H8rg!m_9dVixY{93Emr{;Aw?@x~523b0`Xet=kh3 z(K?}Jn{)wWo+6uwq$7t5Uf!d_gsBhsRH2l$2h6H_UX5WBStRtnCH^f$?vh{Ohwini z=vACzVzgJt9di{r7|pXoe52=cRw^)ad{hQA(+d!+!nawIDkq24+5q>Mm{OREIJ#PD z`XgYi0LYkBwz|!syeRbwtFnVKtt0tW&CP8hYEkJN0j*Bvd*My{M;LM|(6q4H)ezV_q?{9e)~dRO}RN)>0Oo`DSHZE&A)paELKYkC*Tju1k;D2g*WoMZiBl{RBe?Y%Wqd zZ7%AS<2;PBc+cQJO`CkGX`?=-Ua@Ofi%vRJ(m8`{4*$+yW?}$8lUu#*Jm!d_Z^Z2N zL)#c?r!bJ_0_L$$B7GMqE8HmMc!*I;c2~^}RrFZ87XOLkTTE3724J0c#%l3Q9kU7V zlR4jl%e?Vii8-D!Ixa1t>9Z{Zs-BK3skwqi!qmJdSi{3>(}5f9g3 zZIISQ=3CO7ZanBNEk!!Vrw+KNrNGO&CY^8MFn~oHm&2FGUoVM^|I#G2a?*eDci8#@~(zqur+s#_8MRC>pdjZRFYxrzc?f&3X3G6qX=WKHdq z35cik?d@xm9ysd^n$1Bbw$4B)?Qk3^2Gt2mATqAx@W0-A6;9M~0qa_@7->-8u=~Ym zgf(sQrQqzmVh+K9FT6`rcchPafmsJB5*Hb6zK>2$D@3bHYXx_n{Cpy+tPCI*`~}`M z2^0P=^aaa*qc7N4{^J1sM_;gW{HOXq^aTe8CmPS>e)O&Kj;XVEN)!c1uP)+=vVs12h z;c48hs$;mox*OvpxayyP;79}?o1_O+m}6o9egJ-Z2laS=2ffo!hsl?~c(cRF9mcrY zhZOB2{pnY@1K1=~OfSGi5?vDN1H91vcN!u9pdD|B?~$kN`xw?kIr! zqtOfC0)l%TG*S?3eevYQ%1JEo`T2p?1#tifI5;TY?A`!ys?~v`7=weGuM=kX)s*21 zx-$3!0)c=MfB&EcekUL!os;#Co*o_!TAf~uN8Q;cpX`CX2_(n?_|%cF4Psvby!~Mk z*qlNADrM32M)S`{UV5Yt0t5zruLB2Y=I#@aMb0|}3;h*c z`HJd;eRJXfAfUhF-~Vy{g#rorb!`C-K&Y{GwdbeULIemH=mWqtk<~4tPsG*-cY70U z3i2RQ_;KBFRY=d~jlAP_;r4I%i`NJDXFvCYM-Weey@=+CU;vk(cf$V8@sK%Cc)PpLGSZKO0^+wf zofrcW;RGEW@gFzRcLPvIKNfMj3Kr^XySF>C%TN)T2f!YT4G>5Li~|zluZaH!nB%&m z53n!@je~M0KiI4GCP2^!2qgq`)gPer)@ zk8fJ}cjSeu^25~>NI?B760`el%>)icWg z+&tZyU#maD8~G)Ia5v#fEbt29X?kb$I2YwG&!F6ALJ0(=y(*9Bwog_&`U)KC==+f0 zE`xbpZ|}dOp;%1u&=+X;B9f1-kkOg>ez%n%;Dk87uvz|f5PdU)gER2>%T`NL7zh9& zvc+D zfcj+{{WrS50*ZOmC^yINdRS0*frRu6F??+fx>>2U$eHqTxRiUVc=9Nw*dmI`?t@x*l;i}ph0)&CkO=N5U1#fI%%+u zEPOoJhijA6+x3*DL5u?uEAaBbe_0$JRCd}YH@TL0F(y~CYa=srpo{juJURER*0m5i zl8ZHiMU=6$llTuP@!owmE+I5?v!--JBVQnGd3R~L zZ(g>T(075`fF@=oF&fR|BOF7vz0U4Uqo=6H6q%(Hi@fmAICVoU#gbOf?&pf2-)lfB zZhfuLB-;yf`Fklbu%^&>DCf^=(aWQV3OjCVXVf`T*H1mEIkYoPnzG>%EF^5D{ zOtD6~Kn|)ppP$N%E0|r><*7v#wg{c+WRKcub!Q?BI4OnrNRv0QUA~9zzC++Q6%TVc zup2W^HZF1JWyhW1tUwP$elSv=0j|kzl+U0<%~z24V-O{5RgTw#W4XIFVPrxSYm8M&rs_c!MA(#@?r{bAjD`}oGkB1x_m&|jw>D~t zE@-QI`$kf(tH-yk#Xkk*pP*^RvgKrm6lssaKq6*Lu2OZJMl}=JcnbC%cmN?2Xp46>H=eYG-vCZx*bTi>g6-;~ZHt+sM(mGA5 zH6M?1o*-s?mqiXSD2rfLm9T2G3GY85cvK|}$7h?aYGBuh?`lb0uDb!{4TluXd6s28 zyGFg_Z_Zk}d5HG$8n(PkIP^DjRU@e01IPqo9O{b>*crY;T$gALfSl}gnajniez~Ma zj}VED=YTqSYvEWd!lSkpKKgFV8so+^d0!0vL12|uy; z`gFCLm>kFzVw5b$;u?`PX**yoi)k9B@_e=osi>VxJZkDsi{*XW>Ug0Fu`&bTOPqhk zUi^&FY00Od|IsH8ynFZxi(muJ_RUcmk$e}l^?HE$SeIXkZpOg~dY}z4sUxH8=s~{Y z>~_rmcJSCXMo?pkR@h&FQqX;=kHcjTT)}3Ff;bJ7;iH(_;MO;X>hK?*3*<;MOz&CI z0KZ(d)%?>bR-M!prYd5tav9wvZK%?jb!T`oJX;OE`y^>+9nVab*v@Mg=M>s)ypFF* z%(<%?KfT53sfmEl_Hv!28=t)w>PQMh-1w<7h2EG7R{Dg?B)cq9(@<;sry;^&-reFN zR3YE!$+wNMfbz4@O?=-sQ$|l2EXY_)uyARO+~OuYzd16~R=OnfwmQQjdGP~Wedhxz z#`t)dkn~BFg}f>0c8n99&{EbJaPgA3PM+CZ zCX_>mb-8P1-E)GzY1O`15=Id*l)!bV8XoRW%^>2ujQS)!SL1tZ2n7T;MK^nb@%W@`h+&{x3!BFfS zicj&&<$%f}l;{~XaEamg(e)HHy%kH4x;N*3k~X3Td*? zpsc^MTV)R@!2qmawt>ZXTcNvlP%@)j;S-{2bjKUW9;>c%@?CB{JRQ)1_!meb(Uw{G z*(EK96X31YVhcZuZU#4=(OV-H8Fj#F--WIsQdK>7El#V)%_n>~o=M*!ha| z%o9nHuzq-67a}shYBE7`@B{2-qtjDvzVZnhDQ#R_5sLk5$8i&)jn5Z2^~D4}$~_tR zaJ!eZZr&~1)^eO+GqB%l7VRTD=&H)F&f%gP!cvAqN$MK^zGW^ID>;H^i-yN(zh7Xp zVEFPO;PErx;;o>(5-Ytp>igH^8~9~-UD7JR0}aX7xxMnzXEj`|DH!qqS3S>)!|-I< zHw7VOM-1FUN2GoixuNgrNYpOWD@;31St{xboGDpTK=M|PM!(1c_S$E!lDo8UO?XD! zP`fj2(HPfxDx!0DlJRAfu`4-uCn3Af=5)f@tv7}3GY!7P7QeV%GJ%?8}R=K}2z3g?YnEkI-N{2DxH&7|lF1 zzb6M-lhiq(qyF!-eE(j>k)wnMduH6E;S=zO^dEvS3R@GVWJ-sMUxw(6T-zVAruLFu zb+8SmTivSP^VGFDeSP_irormQTmxN0bHAwi%RAE-s1&bZE%6Y=ilxP+!S_{M54WN3 zdMy;+f46}Ukw}}+_5-cnM%93ve zEy7O@lth%&eNy?FneSl2n6tYH4pgC!m<7N#V3V9Tym2qHb3ykF_gq5}>JNFLaXE*l zBCSAjd90X<7`NKmQ%Mm$-C{tphiju|cDA*2I*_-6S7Z>?>NmHKOevcs&Z_G?t6q@B zuqC=~UOs&3BK(m-hZ&)CSEE)~InjcjwqKm1_hdE^2KRuP@9n?}g=Is`9WlcU(#!u%}P~Ddx9id{(1xN$h|k5;fcm= zlJHZPLa%vKIQLP{%+l&+GLt=S9Vy1S6^75o41;W=__C!u=Y|P)=P=`)?kOK?y`eqd zui=55xhIw7g7|PJ^5}KPs?^DBBth2!@F4eN!5dvF(9SgS3j#Z}Eh`tp{}4Y^W%~tv zTx@l8j>2)jt36F}%QA)SWRm!FQs%Riqd_je#m%`=rxv2FrJaZ);lby9Um}|ub@%og zr}z-p=hIvfzPcS4LG+5ZC~VVl+n&pds&orbYK8PD+hz6{;0oyYUfay^I2c8Jk`%ne zKL7jXtQ~9XNVo;N)vXjT!wNJ|1VwC6@V;vbxd7LAq1A9|AsOi5_LfX-VJ@~Y`X=2F z{{c#k>u}a3)5NC_L~dDuN3LcXl_evZ}rH zVd8uEXdZ)c@Zqx9A|LH9$H&=1a(QjvX-7Qx?Y*UZ`zZ`ql*r6VN1b`DXR@k#(LZfb z%eTT)!b27L+N)5=drLT3fwfyAds&;$!OdoLT1s**S!c?q6SDwpj7PbF68wcH zVRW(^2FIxGpGU(-n|FQqp^GS&x=A{kq0@KdzzyB;7pumKc2jg;UoxACw-HukZyqXc zz(NA1b`wvts=N-Lcaf`Z=woZD72@7WARBt2PME*j4HIfXUB|*@?wV{OvKxqGCBtT#y4$OK0$sxH-W3>x!h&EE?ZEWvxIvQY0igNp#gED!SyKkm76 zpcN_FO1h?whbgq=md5?AK&G&fU{n>N1}xQjUDBi`=xO@)od*+np(;!wfdIrpFSCo_k)#p0^IR(%P(vKahG88!RT=`KyK+h_x2QbariVpsuI#XkUBLW;d<7Y@_MH2JDdkA^#Rn8PS;2ps zSMiN&s#3K-c#ZWcTTTA?>q`jB^{*BR>GuxJp0!_W_=Bv+SM8T)Jcsb9Xz?`(O3`s$ zSj>^1a~Oa1eF_Wkf_BmYutqFTtV`$M06_%yJHeaLvshSh7fQb?k?{ZtJtk z?~6$KtaJT7sVumqdzvZPLn^7}zrM~RGpMq88M;lHm0dXUrpdk4cQ>rL;v&Pbe<>Rs zk3VVt42K{aSz@*#!BBps?Finr+~G|dn~-RS?9`(Q@usBsJ6%}otWxJ@*aSV@*F_B4qXp4Y3rnaq zgK86yx|TxFyD0XP_mgx^lkZS>@|yKy;mZO+HJPS@nDCL1t6F5M`=l}CCw9qSOvfWh zCI*>wP(`2;&c=tLYZ*wTPE~dmkWnfRnX6*~?{$AJBpKo#ZjD)fd$?yVHCb#;Z(p+P zpR76%;t^^}Sn!vBP|P$dc!5UWjIIRN#s{%D;>8Rzw5&|_KTK6Fa;KW1KZ+7JW#*rG z?GJaHR~1N*Fn+YBMfMhj7S0`#uN&lOyn@u*3p9{m(_|c^ogRA4C?7l^^SctbX zo>nqNVmP$fN8cS1<2&*!DQrg;m>X%~Twa&0VWCwCAe0F z2S+WY4qPI5mx)~5jJytvjimKyXrFK9t4gVxk6tysTUuQ^uKKvUe(FXhq6$J!3k(5I zKD93n{-K(z3ha4q_kS2W$L37HHrvLwZQHhObZpzUZ95&aW81cEbgU=N={Z&BOik7M zVSdG3_qEqvJDV?ZIZLrL-iiEB-ZNdzBedLML7qD;WZwVy(-9RAPH$^d2>VNtL-9$Q zB{JxhYEgyu71}ah&zK;0o63a%yG6o0pH{3M`3Ngci@jZMQ?o@}jv`0N@K+9SrdboO zg)#ObRP)Lb)Vs=q`Sq|Ya}^PPI@Nh9`?0r>TrR-7uGnQNe^ZBG7`Zue|u`0T8{`J zYpn%rzZgF5{_id8$NDSg8;RqWt!Ym=bAQE)4m@MkCKuM9nY_>#WmN`#ij0<%X z2Z2?+$^@BzpJ3HR2N zsmyA&!VfVuEr@$V=YFk>U%t;J@zi~5%z6Sh(u2eM!8dCqtkPaKJ*Ih8t^>FHxep%T zIfFg>d05ko87twD?hY}wu73tNTW{~Noihy>x5B~iBUAp~!>8I=vIqUUQ=j@oNV@N_ zH*XhFZg^;q{fVY+6TBSg+P&DWZP-BfWb@;1DAOu-T6^Re2T2pk*! z)Mr5+4Sfe~&49=Jt&;Y)z_*z*pKW8HirhGh(JeH?ZH?6T-LA|y?ez$YJsr%Xd^EF$ zv#gJ|b1(9dQzSKfoqQ*=#9o595V8A>fhHfa3C6^y$i~T&XDUTKHc%Prt(&^dKMlD3up(C`bI zkX5{fwp2Dj61-Jr(-;L2#q-Cs!}M1TXEPVjjFAq0c+kR8rdnfMMILH~%^%Xw!}!GA z-X;`%1n){T{ZoGqfB_Z{Q>mt4)7j?bN>pQZ#L9=i5$Zj+7Amt}kW1Y_DM)0LYQcF&hN~wGr%`hOyv1pSs>^M3k6>D3LOH%aQ`%jnv5gNY(B= zr0n2z+i_~Y1$}%lhWV>c7%2&@E|3a(`7F?2kybl6k0Gbqsy}@U$>|bA7*8kEcdvTT zFT9T~aAr9NGp={{#zQ2t$^@W&PVD7MZR|Zyd%t*%g2r#?<_Bi*OkBhBxCnwtJ<)z- zNBQm9-X5?FpTi&Kzm4-Ml-9ZH;p%!|oU-~=gr95?=6%Sva-LSa&1lp3^YCg*D~@Sl!)``Yv?)Dna!a8!0N$VwvdE}_~Ro!8*&ziMq?d-=Rm`jT$;EtM%QhM z^PRp4h&du@ty^WFN_BT?U+W(Qxs@tyrb0Hw19*w72oH@K$dKfpthHALych7A4a>6v_or_6LDy~%}(F}g}3LEnHIBna4 z{<{W)x3u#Xec}@A7+5dUo~w(hG>FX2xBR8^F|7$(@5Qj)(u{LeVCgnbnfJ8#djyfq zMm8m5{`s_Un!c~g9#M9{QpbPqqN{d!0k0>tN;G0TA7`CV&5e?DPi|(V>DpZ8!`&iP z@Azs42d%UsxHYWJ>Z+86%0zx)YPQ@jRBb0p6_Mbl35wVp zNnwvLB!ICu<=j|P>Nw;d4bQ|o{(_=Z!+x2KG29xepdjYGsXG5+Bkt1$EDq05C%?rY zJ#2_3ON;ZQKk);YPng&#izYUf(nILo=hk2;-?s?J&#dFv`tLoz?&P6QBhpl89YQ^z zoOy1yJ9PVPw`AolYq@m`jz{`uAMmF)OMM5g6X_*@$8hV2O_7&UyG4gP~E8@5I`gduUtA+gam#vNXVmb$jd%zQg zST!wE+%3y;jBDgn*0ZFE6SMcH)B~0oRYBc(U~YU_Y(T7sf)(yWxYwUGaV!1f!Gk=5 zdp{eau)vN)NiN9N?500kN*(8D-C_{es~w=%{$mm-;18rj!LSN(QT85+gA1BWU_UyI zK;`UxhaZYciThK;pjZ_ICU{r0I`rW&AE5GF{;mF@qkK2)F6}3jjI$;i&NA2lX-yG5(v~4IO zj88RxSAH1tfalwt%_sMbYI;iPWZu6wtus zd=OkU%aT%#noGjQxNGz{3j$jQp*UQt&AY~zcT}bGNE9aSXr!wq6E_J?VGIbwh%u92 z9TdTPuN66)NVOC1d6iewK9}YjGIS&Ep1ql^I2u--WXezBd65%kp=P7%%(1W9D^2{t zSZ8H9y$|Lu9BPR$IuZu~6AWW0?J*L)v{b#^vcuovezj2_8UXL9uq-w`O7bm=B#ac2 z1k%a2VV%Qfdw8+VxRg|JRNI37>eyvS`^?CSx}dm%OH@aNcY7Hfcp1A;PZ)UY!HVQa z@VK>IEw+b4O^bc;@sbG!HTp&=Dq?Z$T56v|KSd{1E?Ul=9_NY*nYr1)O*5)<{{Syq zkE=D90<*+jHDvzEs42{(;KAm(%WYe56C@=H%NeuW z`X_il%}$r&_+f;Nr`=h8;FI9fc7|VXDC*KBB-BSQK!w+V&Gp9AHyCjd%(P%bUuNG$ z(o&$XzeUI8mmc}7t{Y}%jC7a3SCPg?}483xp)mDa=$&Sl`UTU<;VL?5LKaGbk> zr8!{hG7~Ul`G?(#L}Jhk11Mn|Puj&+Wa;3%pOBGGzd$~DcHV!#*5i>_nBs}Dm?BQ8|tO9h*$^1ob zA)KF2x|GMx^y#}^ratWDLYz8E(o6h%z^ZrT>6Lkm3O89<-OyHmZ&3ZSazcG~}JgHH9XYreexP zm(=Y~)HmB*-}AP0D&3&lqLRd*Zr)|1(!;>_ zWkmf#g03xyIs5SUz>>=L-NZdZBIGXH45A($p!iH{+Az@+TTc2%Bh^LvsYX zCeGkS4Oli_jnpg3=p?W;VQ$rH2Z06g2n1zy<_&`_gxmS;PQ->}(}3my!IJrG%5?|EWp-2PebE&icRR zWd1GZE^lFS$VIxg6~e&>!@&{n{3{PG1A)RZgHF%yz%P;%2C{)H67A?Mk`qytx}L@C z`usfm+4S6IxA?of?9SCS75HUdus0V-YYom2KR9ANU?XC-F$qbiOGZWD_Rq{rjm*Fg z8kw&Kkz5o1oI7Pc6U{If11sQ>k#ks&m#5r3=&ua2NB=s=^CaZ zS@iq42eu}|2<`lHz{A!&U;f%F6Lzjp`+2eB_B#T{|pd%t64WV0vK&FXTm9S>}e(zNiYXnRH z9zDW4LG_*XmJ%TQzdiu%i8x_ne3M z9Sq|i^h#lSw;)#mMem7y8k*?F&~8qz2GuAizJ2g2On-eO1dk4m4o^R15yi(vcZkz* zluE*83~JtF>py(@GofTrGzS73cUfQ}Wk(~qb*P$DdZ#}FW)>VOzPEcoCL`2#diU_2ltMCTha7!kH7Qp)+AqZgqA^q_} zB0}{p$=x*}GtS_JLdTp(JXu}MFz;rPwTbTW zt`%rAnSgeeQ78|&RmIkUDW-civnb{8$*gG+?6{kkFfL}Q1OxZFpAXI{Wyzi@p)H}H z&`Hfiiby8yLm`}U&?|9641Vo6z)TBCibEA%KYo~r3KUpE*?_rA5CeV-9K zwyL&0I2-RU&Er$l_g_7XPeuV(VfM1!uG6x8yDu0>)4h#K>rtn9A48RMMViP$werdh zxhQGD*_700*MY>IRSoV#Nv!qCd1?F-N;BzE#yt(;v(-&|DmIs9z+uhhnqZ4j8ian(9~VYS z5Ur)K$62+69E!aSt`=JutmLbw{rBiEs$Q`Io>gx}2>xooX^lu8roYCT^NwWxatxR9 zmwSP!$3Z*4+tEpn^ex)a*4kD-@g7W7bAzijHsq;LOBkK-k_G5HD6r}qLz-Ek!iGBk zdPveNTqnnDadaG>jwo3i0f?HRPPS2&+7POQDron4XfPpEN242SJ7uNdDLkds@ITlL zYkIN-X|}08x$qPDBnxNVfWl9Fo_rj#0sW$$k*dA4nmX+@UmdJ3KQ|@OgYiuuKuJnc za_KWQ!P&@WarApq6U0Go`hCCej-U~4XX02*`#_aYjVlM(E(E{|W@j*#S!bVx8zb6R z&(at@MA`W_h6g^{KN>Zb?rCxj8t1tqo*H?Q-1mp5 zhGf?a!l|duQF+=k(hCZE0eGH@7yX$WnHugDkv(0=t@5r%vu9|!X^1@t^GemxMgA3x-hi zc@&SUBgxD_HTwN-D{T77AcHnVXV9zduQWK@viP$cO2@3w!!&BSaSFbWSC~a;kKQvh zPbyT6z4r2~DM(FIJ+Nmg&C<2esKqQqCB>{(%j|$O3V{Cb*@;=Pt^3asN3hyu*oKO{(pfzSB<9j17lr8eFA24r@cWTRb ztxrB2nGIdq{2WF2*SyoSZ#OJvZ_C?Si><89T318oY2c5N?~j$RE6AP{&t_p<)*tq` zvgfUBcqR%JJMvP+$f6)-MD>>oU{wbvRfq{rM8w~=LPd!@GIe-K8IVJN<>aZ`O!fyn z1=#)~pSfP1wGk>=gM+<>nUFVsMde}(yHQeA5U&q6;7N}5X?H^EQVWD@NHE?`ySMCJ zMqwXapeVt-BgECzk0t_RAk4iDVljQbaf%TTDmQaPuFux>Ky{vQ71#w@EK1s;VgB(U zbIgiNHjZ=X>&szl&}dpi6<9~m7}o1Hog(il!EG};^!7tmq-he`VEjJWUi8XqpJCc+ z3gNW+^^yb)iodm@(jY04B|YUx8MzPb%|FU2;00xc{PCB!%BZiC52Z@M#@|Z^VaAytMUH7>jFwCgFZV_Lh1y#Xg zVf$QtUo?>0vvLq&k?}yf+Z3oE3RH(SN3339uE=sgNp!A(R4Cv3{NiJ>z%fteHmIVA zgZLM{y?_f4W})6=jN*|id&<)hFp}xM1Hy-6X&F9YJu|Dwq0~)o`$Rn-e%E7^+$6&4 z=NtklRAD^Xu>`R~;?jhpYjUln+X`1s;5S5uZBG}O^LXF0Dp9-LFzWOi)GP0XIeF#S zRNlac+_7luUVSFAa*CLS>;Qq?p=d9#D9F;8^VmAsKIN%}m!K>9$`+>QownD`PUzBa zO5vxcqgbBgnChV(G+4P$qu`q$#6v1)ElM-6V~!4V=wtTreQwDe##nk{h-;;!>KkFw zi)AZxSVXr4tpC}W>6x>)+AbO@c$sU_iu2>f#WC?)moJ!6GB-qyh-iorO{9^Owl5d} zvf(;?r9BOLDjV$5Dy}6Ak_qjK;B$PzuJ9|wIeX6Z{4N5SdeSY$qY=0?f?a|Tbfnpn z`eTBTe&hlkQ^MFI6i0oCot7}34D`8-u3BSCsUe+*%f6HoW8oj@{Zy$HoQm)Qf@zhe zfX7;@03&6W&w&Qa!~M)G;AW4qgqNRtQN&_KCX1x`PQx;iF(>)#!-bZ<0 zTWv@Ew7P~WI(%)n2J!wmVg?sIn-wa%xFQVf0Z7vPwc9x}oe7TO82mRHQ?!oVxJPd} z1a@uNG3#+1kmiBpz2$?7I(CGv4lFy1xflJXtRaXkR=h#e$O08T<&5h^LXTyw>6>#v>yc_I*gk@503Wn!C()L`ESGy-!`h-hBF@EH z9h@9Wu`q4YYB@=R%}&6pc2oTPIS+UUL0hxZ-Aia`;))ZAQlMrynDnmbopiBQ#d-Y$ zgWdKQ(gMr3h{h3Yc#$k!wj@L^f7@#7WoE)4F8lN=tkAh3IgOcJXa%)5{+?*tM1NT^ zte2*wP#mF8R0`ib$U*^tSwR(K6?qUR9M`Ta4o&{4cl3-)!RNvU0WN92H{fb{TR?1nlYBy8hbN1{oHN=Avic^h1@QLRN(l5s4I*R(=xLBHBY zxH#nGa1-37b52`ZegCCZ%R`=9wT(lX$cjD5%~)QSXhBJbb!4fPTO3Qpd9??(=jh$r zasCpEV-q*f|CwYkJ1ts}8?%_B{!vMzRxq$&_Joso>PZ#4QNseYUyI)ujZ9quY z*karlef31IMiejHF3|8Si!0SkyU^cKrU!bXsvgCkOTowEXJ=g#^FUVJ%D>@~!+@-4 zk&q%?Z>bx(?(XSvaN<1Uw2i-T#4D)s?La@}20p%DDJ)-J)M(&hWq@`?C!wI}(c{e8 z&;#2nU{JVIQHXM2ukwPG(lIHuVaxK2)Oc^<0~G~(BLxjJ_zzx!m~(*^KnIA6nc5&$ z01l)(WTeDODa`0O6^d%vhyQL64`1oc^u_xNiKAWt>aPB>S#y}ZZ2qYHBA*>Rl&%hy z&Ubo<68cf8*ZM%IqD5~i2Lzcwn~?-nDy~uj*I)co5_+?ul9-ns%CCd&zmD{RP)1L( zC9(3>($;Nht2xUPX_asI^`1G1*KDhe1X)g}KTm@YBXlyuIM}qkac#DJYHO49!p6uB zeBv>>1unTf(?NJNqD8<_Qh?LF# zna{XFp&RD&0VwwW#f&yrHJ3}JF89?N&IslDtxQW6?E*uAEu=w~{+;(d^VSCxrc-67r5__hhe9 zDQI=|{;uVwCQjZm1{z{AnSIR$R$C#9GfXbSksu=)4z%Z{B=kMmpS=>NaiT%$dw(*< zELWN0@|DEe)JLP%ymI%(dpy$HDETzcItx`S(*0o(fl66Rn@pHpl_qafypobn2O~Ji zFiqD#E~U$~nAT|@H}VH9jja@~LZ4=9Olt)eLwV+%XYe+vTU^y`UA8jlWt*e#Up`gK zwCfbY)9m101&3i;P^W!dy&7k+5k*NwlLj&mi_~0pf?lS%75+ihuiGd-;%7dhOjjK# zW+JGH!WW*XzHIfqh9}}|Vjv~Nqn9cA>?dei1u$8`)eqB*29$RT0#2*Rm(*4|&kBB{EA-v6CM1M=LJW0I(#<Ars9{{6Q&H(T?vuX3c)r+LGDm6+EGWzUid3hCYv?&2Q=uE(0wx5(6}=(>p<&BLf)ER61Mx0 zHKLFeF+f#=v7OFio`h9f<bjm&Yu|32*tMRpWogESe6eviwK)9M{@4BA4I>4-oWf!v={)I?l!ab(gQSucE- z({)UkcENgC?K%dF4F1D6;-cuctYQX%dtRhh&-7;{EfVCJk`aMEO4pk!g6G)cuaiwe zv8zMX!_Zf>b&c`Lx9b$&j!=!5U{Eg5-_O3toe$?9ywHez34ie)i2%&BdNOHiPVd9n z79Gia;ToQ&mgW9k^o zhz~AveEPo2a;D{WOG4t1MNCmRPaGS6CJn0v-<}L(vx!VHZt9{%U|uc{JS!Y^e79Zt z_3QK+*{QD}r!OWHXe2zL@PLMMv73xQxR}(KE%50$F^WTmfqr&gg7llzlkoV~n!#+q5lDS4EazdjoQQaV0h z;NMV{_5?wCwoe$Ul5kueZoVf8=eV~57xuqncxuJdrN)mnt$t0YV&wMX59=R;{Ky!k z6cy-6q_H~)4iw|d1W;)ne_PI`ziEE8AJpH(^P7F;faMQ8W!6*UZU~9;mYB+7WF!*) z9E9aqmQw(M1G2(6Itu`H+J%Tvh^5=&Yi#!8#eb@sQnQn?@KqbWq>g{zz2wJ+7~{Cv z!Pna!jp1b@L=5u=E4R|dN^8~Ey}?`p(WE$~K705NAA&`rZavUr=sj9D9O>CTf3@synpRCZHZMG6kOixNNJ~#Ls@qwr;2qDR;lc09o9ES;Wks_IXnT0cL5pQK zHXm}Rr(@TGmzkSITWq%|l~V3%qjxQ2;>P&o?C34^;$LP++EV4NOwKBrd)NBJn<=wJ z@r=qZK;3@atHuw}%Mox(a4ykHU!x(b{U zkUk}_i4H@{x)JI{qsD^<3A?{luV>!v7nDKCaefvt}^^Dls6&g&<&4d2LDObOa%xRrooE6(}VnVCaNnVvQ zC)Ga(TKBPcs+FRDJ5&H(GOblm)!COv@v)03zc3fd(_V{sDa{DIWky8lL}-MDh1n=} zPYzy^+3N?WsBx^h@Oyv^nx8Kj=IsVoxy|+h{jn#HO)m4?7`Oq1XP-)RqK3ni63Ov9 zZz*?Sv?2>FjA8;=$qG5Wu3}AwYR>(Aw7NLb=8tyZhKns|oz0cg;2iKL<&t}ru=3JT zmT-1D7$L3_dT3e1~?`8<&+r5@wMkkR^TS(zg6P%KvFaJ9@|c@AhJGdXIhPGIn>=KWaN zJpph3c&=V3pZX}jRs4jPXcxt2{sn*z@HJPX7*y0IWK9*IPJZF)UV8fJA)E$nd}D7$C3uNY%;g=0fbI;}(g zR`yd(wBy?8z6`{Tq~aM*x=d=zu?p_pBotij#+Wlr0Z!sWA&1!<_(aDN;5AQ}SC;G& zSbZ__GA#vA&FL`PRn&NEi}cmMZALvJSFIPZ0}eE|WFj%c5v{%5JT&mPFdYJ_(hvIE zLSBsTuXO6T7kf*v!)1!{UP0N1Ia+h)hZC!eG#5TCo)7+dcBl{1fjYF0KrMnyngkq^ zN5-5|TcQjbJ1>aFBbhgJc8%TQ!x4~xW?M2C#;xW zoW#rhY9b~jPX0+)R<5nfpT-zWW>dR#4Er~YS&gH;S_LHXA-tiy zY+JURed7}soKBbzyo4AgmMOq1H9bKyK0{|JiAhIfYH_x!hDf&UE3{ic;>+;bu*r9RC7o^zmMKV@gvr zjY`HWyZW0O`AYSD7{`M&alwcPw8*3?#Tf%7r@*-1^7o%k zK3+mmQ&y9lKAHuA@rPh@n;_PGsKXT(y=g}bf@9c?rQY@m`o%M1f-lvYzok@t=l%RJ zUG`K@{SCK?H~B^3_fcT?rY-=Our~74OmHjfg_H! zqqunbe~&gbMed~M&B#WNjsgQDxp2l*s&I!UXp}mn0$97z;*nPfpXjJ9QLsgXGdoShUOV*Okzzo+*x`bq?lYsx# zIM#jBCAj3v%@vN5z|Iu?s)Hy$k7edQ(_K1`jZa9{Z?K|c)fur7!u3M-G$2e0sVTAq z8N}^=3B7T{a#D9s;(LyD`yMQC*gn;ICEYQH{(Wf?`Rep~y z9xwsIJ$&Ew7gf!dd{=5xV33er^y;I&_w3=iRnjW$MF0b{&H8gwQVIoXe%XNGyGCSQ zjfI$1=d&vCX>&?$qCf!MV2mQ3=^H*h!?`%e2uqNzLL1I=1O#bCF!Ymcxh~*Z#J8*; z_mRSXTXql{c4@!aeuwrG7n4w6@8{|AV1+O_XLuoqnaiM?R|Z`y)|h>Mkz^*^x} z+-xlWdq+tNBwMZ?CPxh_y*J};5A)bv6#m~5G08+ja1vPq=RK0Q!AN?Mmcml5$YM{s z;*^mL#iuFdy|*7fHhz1ZYuO*YFTF1UJ_Rn+5F1`vQpLIq z#gOROq`89z;X}4}2lC^>xw!<60RG2c%m?ud{8-CpCc+w8MhN{}FbQq6dx_{B1nPv4 z4&ua%?S;3K8aZnAUta=&Mq&u9VaI=_)I3uPBi*f?0tpQk1}uJ|fAJ!Nyh$=GZ{nOB z!-;#7Cbk0MhLYkHR+o`qot{uY1(F!`MJY+LU2+gy0*iBr)Y?M_q#}SXwA6$iFNRZ+M0H_{#XRbM_NsK0`C@HxX;pJbu1kgiix8L3Odc?nZbRo$mQ7=9? z8-;m?93v+Ua&=G-`Z#pjafR@pz+|FiK=&Dd+A~`6#&5yldh!ke zxP<#=+W22Tcz)*sbF|s@e<5?+ZDAHM;#>klws&+6efj+?-S0&rfr0cRt=a?8w$p=1 zzdF3=ux_6!`ucp=K{585?ALw@0qx(O6)-;PgbgT3N!|ur1mHD9<|lPhh>7mkr~f$7 zP#1Lr^@>jP4**F!5%vG{J@SQ;d{=?KI?#bxg@8!?Xx&^3eCaig8Q|=H z*$BM?{p86)x>f6P1p*9;1c9SLYaIfFe&(EiNRR)^QquH)EhXrc9lSi>2WMX?cR%-{ zc}VfQ0nGMke{bA*!8a?mw1mDHSFpa%&aH=xpghWdo<+6`+m;F=n|suok)-6Xs9wtP zgET}v2aFJr?N{9cs!kQV7H+*<#E1?Ml`V&FaZfp5pgsxrt`oI*w|7a-b*#P*g7;?U z1L~`znsW1%1bq0F$i#5Y5+$iSPdiF*^lD=Cw8L zT;o459<7GIVg?5SCH>s(#)m^)3hvWme-YlbO0@;-*QSeYU+EtFG~}cGGt=I@TLk}X z64-cXu5EQ4BI57e?CiZJ#6Tkef^|@5<%(;}hOTS|vja3}S-fFt5u>A%TnWVskg)12 z7kz9m!>Fe62t!~^%FwsQIE`oj37*7c1K7DT=YjC)df&}P$LFV)*^f4V)xx~PtBxC7 z6}D`PbFyu1PUik#m7hpQ^>J&`_R5OnJ4ZJjr+7jke`)K82*|9J~ z6e-EUDMn#zl&9@0)x4{@ICfzU#0Yl?Kl2A`Uat9?suk6IOMP19kWd?PC)#`D4{N-V zdukIKo|S`zA1{~;V{NW~)9jd$IE+iX{9>v{@7xo*>FM8$<)8Wa=yZ;!=4HlIpH?rk{U(OM=B+Srl&8X~ZCEzb>X&Qg6L>G-(zuDh$l7IO z0sbY=^y^RN&%o6O6Mj@X;uXI`3VN z=?j6a>I;!L$5}gZAcC%5ko4%QQJT}yf4_}^>ZDYmXpbw;E3_3B+oFuu)mZP7O*saZ z?t#tUohiQX{<&aqz|-|TSnI|9$-N7b3_n}|F7)zmz z3U7G9x-3>Nr3t?y6NkKz{?1{PihnMDmeC^rD=6vznutT9Zh+j=ZTq7?gGgXL<5MXP z4Q^~W`nH6#-PI6QpSjMSTdQq{_;`M2DkG&;7<`D;o8l`!3D2$z)x>Bj*fgAFUP0Lt@qoUeb>k5Mrmvkc!4)A zaW*T6xp#M}@>$!Nq4buWeAQA$ddae6WVy7Ru4=gU_G6%{L)5TD9v^H)Ez7x%u_)Fj zlJR!Th_y+0v##Yu>Ly!11k`O<(!AA=W;=esN)2OBR>N9_>?ighq%(25Jsli}NS9Br z+ub2;C=KqwZjedh@jgtTba{|E;J3>G5&FWyDC8H3nFK(S??o06enx!J<*-+|FC38~ ztlMEcu}$ZfJL4nemvjZK5zVlPJyHeaJuGQow06?^NC(Le>ERSYC!3EKyZ5)b##+jI zNhT3<`S9HPkbkAxI(`By89a+}sa!Q)jLmWj{y^*4kJ{Q|oIGzXmsQGgyL-6msC}$o zj;w#&w#Qp=nj#*}CXc}%rb(}>2jL|%A`aGHd}rRl8NbdbRMOq6KAi4&QzBaio?&8m z1lz@;Hw(|^^}}%djH(1ZY5H*`gp-C>u#^V2IZ91^b%cpNQ1j6E6}%|c7@lFI6tr3# zDLtR*F}j^+L$_&+86W#u92OUe@({=1A?toDHiSON08bC$_?6JrC|9v@OHJA4SJ#iX zOtLzIxI#NOO753UEJMlK;6g`Nq&Ks7OO!^GmtQ|#%s2J{KCL-RiLW1zyo%9heMrBh z)6aaSQxMJJN75m2@ZW^`+6rdSqBpk^eR{ztbT&MW>a`9!!qh54tEObf+Gug#S{-8| zKIN#DCPwBwTu`@3O!eON)mXSMm52Tst|Hia!I%kEfQw}jjKb-qTqYQ|SD7NF0UHIR1RMm+oLouSL{&nJD)Vvq zEn^2JOuSh-(5#6TI(N2$hIa`)Ovm!ZP<#4wlNMkb(r9Af(TAlW4)Th-$-a<3Ue3LC z2k82NPfOp7TVARNAx2#umr|Ve?!`9&wv+N{rBa;M)x86akWS=qD^nL>bPAGB=kl&vPqtP{KDb}>PoK>gZs8tF}xI2Le}KDNj_O5S0h@jXO-guidKhvSAC?l4?!5VGHyC!+xthodi z*_wZ6s0&v2}d7tz$~&hUdSh3V9j_?Q^;n*ZSVgLny7#=8g` zgdd%tkn881km0jJ%|k4#YfiD6h7-z*UN^13lj@VvTE_FHS;yhFnh$3Ke1T41Bx44E zN_~*MZ|~TVh%QgUxZOJ*;pdpfv~g zA`|vQ%LvBv%=}|%l^|$THS!+1J^iJGkQctYU#06eb0&PdS9914%5KJ*-W}4VPlp|6 zhO~}pMM>|@-dfcPFiPNG;E!!b)3Qa@*=D2d5?NeF!%k84E)YVbpvK0qd|n(DWRPVD z1_)T2@`h$^tSv5i8b#1dkK(_wLxioM^q(?+2MmBdd!t!i$E44B&&l?+fPw-u(rzcJ zvw;fY<(3mI35Ln1Vak@3iEb|9o2lt45eD6g{rdRZ94(U-;h!=2Y2BOQbMgpgQ3rzG_Ad*cuGyP2|CFk*kO=| z+tE!w=#R!3p>M7%l7AVVVCfg!gyz%HUjp|EGL5)=vYeTwBbK#YxCrX?Aoyy9!`)+r zGp(-_R<(k8m#7ww@r*@O1iv}TnqQOrT3fUXADA_NPC}-dpuT~6IZr>#p;xdLsawJ) z^vsr;8s9o-ykr?c4hD#e9v1N4cTS8)3!>wlpV~F^`Ph`vfxDUNt3OoISuR)l!=TolIxu zGiEn21Yq6Qt``?>4HzW0;pnIdgV>#}OP1D~Jh%j)_oBw49fNXAIh*sFG>G~A`raKnXn|10P!TbT4hmsWtQ_Gjm1|>t9AwQf6*H) zy{cSGCgvG^Y$qToWF(>qtlaBO!uN`#8rrU;`iIXi)xNlKB{2l@k}^(5-}FswZF8zD z6m2-XwqZg8I4gRo&m@DIl6W{VZ}e*`&mP-w)w%skZfyomhP4wc{4eMbD_Sh!vxd}% z9A?zl;vB^Zub8~AgQL8M(5o86S-G=<^)Uum4t!_jLqyv^-&8<-TC8N>jV#n-)8Gq= z#Mh91WJ+1p<{D;w776f#Q5<5*C6_+;)vuQ+xDM4R?8`Ovi)vNY6InZ0oDTgcQAnx^ z=uusW8yhEVe%P6d_s9iv81)o5wGwdd*WQ9cgUmcZFb3U$=o zX@gKfMJv?@OtgJw$UVyFJDSdgdL#yK=8?g>KdkNVVr`Vmtm4SHlNqdEk}_?;Nx7By zoxx4=mU(qHY)s`!7Xs$sYt*yNJ{;~wbtnps`m}Hbtsz_=3(TP3+Ic>`3LPbwQC!Qk za6Wb=Vr)d*o_p^t-#8yfR>4+tcDG#Wh@{aOwcAo&;mUjPIsD*5Jr*RD%g-g@=xYDY zd`9b);fH$ocr1rj9Pn%vwOk(2UH}WGql{4ke+eb9@k(2|B-kPTvp+RfO5yTMLw1^b zijwR==CoOSj4FY7y8!Izhj8aE-9FXkMZ-+AJA zo#rIrD8^nDL9!Outt0UuqL`{9Be+Zo0wm!%CFCwCNdWU;{;9}@T@p<$Qn@XIWEu#J zB)y3($o*J6Z73pdimEtRW894KKN-heDsPm;SsKcWVlSOBKX4*L`;5o*xe;XoGHe)8 zKO{CVbg624!%Br!BDd*2s)SR zns%PLN%gAb+GvNk9ux<8TDizV**Bpa%sSLq3fyx8>ANi5_hI(2K0xKCc1X=&+FFeD zbi=O0A6SyNgK$5TzdKDXEl8Kz89J z^tq9HHyZ5yvSYTmjjEoa%mF2#M_|7#Ld^nrfzQj-rgr>@sfZ3>y5`1nEqTie|3?yoznK@I;oLO zBYX?#ZFg#g5@VP#(6Z<|#m1Fl9rI$-UojGR@u7ONL5w>Y*{9|QA3Nr50}|70<&Pg0 z5)VSDUK|BK+vu0WCkV-wKHrl>*NS%TP@`ki9_;eLZAPaqe5v3L%2H@_ty69Lfm=5f4Y=Ij7nnt4K|0lT!&yzqd;+IBYXR zFaf;N&N6`->cf^@^7j|Weh)<3D~+o7)fEY`xyM^t3j2|!%5oTEr9B^!6&3v&!JD`6 z5^hZt)Wmdy{%caammYFwm8@{VUCRlZ9inTvqR8lJN|drHcmdy`Z+CAI21{zX;U@Bh z`^v6jtk};MSqO-f2mv3V37Q-tK-fiaMpFYx+l!=m19sG2DPbP~fiB z`n^jM*3~VGFM_1Hs#+366O_(%nO)m4TOgGSV{_%Tt~h4ubagoRTT&U?G)}&*EN=U| z2C16?!O4!&anMJW>gE&K$Pdd~9DJhJFn$-U2fdTpXUHE13Xg15d znnLsFY!0JHG@SsbHg-d&m_R>bnUXunTM8QqqTPsMbj zuAE@IUU4ulo=l@xt;E>Lwds;S&2GImHP7eyyBl%A?3Otuz$%0q_*q0fP7kZFG!|gG)Ke!Z!SW*o$g-Iv0+Hb$+E1j#U!`c02v`lk|6EZm4)OXp@y#oV(9~!=hgg+ZljHi7`LdNFx z;q9g^zi-$t#*TD_h7>HH7%%ZW7)Xr15F%f7at`cZ-`->|0tlM!bu}AXB#HX{F1 zJ}=#>`}c=r9m2u0yvS;k4^79W28KOXL-8t}3+-xjDX`a1;+=I;?ijLafTcq76 zrKhCTSPV;2NchjdqKNO*BNe-YLM8smMTDPmD~Pm(fy625sgvKXMCHjC+~$r9!H?66 zpgm02e9;;tG>yAU`k&XCwfNAM&cCNX)AZ5#9E}%GX?`XjlMajnI%#2?KPi`Hm`|U_ z=prOm9-@Cwi2DIp}9WIj3NzzROIPTDN(_GFDGPlimnaukb#+(*oSoWc^eksT$r1_~k8={%^XEZ*sAiea)y zo<#CPzOV_N8z42CWk`GajODzDLRDr`m=*5?2AS~I9-@jXb=Y6bJaBwjfIc={- zRRbJ;O>|ROj4@#-X zuQk$l;OBxy%Y3-58QC2%7NuWlwfOL!)E1{Z#<&9PcK__JyM^?ft~IgdUR{(7d1*`-K35qnRP7Dqjdhm|3ht!#iohk}XdKI0 z7I<8q>Aj+9S}bO?(Hqd>5tQmE6Y>e+XcASu(v5}=5H(wj-4#_vi2Gn#PmUgcPS|X| z5_}y*wTj`h^mfnD1N?p|YP#WEaCEHTz@&Sb%_$u@CLrgG)*jBZf!jr2$scn;+6kgD zY<3#_Nj-tmM1z5|k?LV<-brYHs+nMz9IpgOqa%$i)sjy-zffm?Bk%jBPurs7))03)Jei}fS2rRm z8{9GQZo{&}sLA$u#y+h?ztf8o)Gtl_cyW~j0R>x3=dVMS(#6MA@SPC)G_wmrRcRe; zipV)?uU}=pBJ~t0iLvyFR8QG;x<>2;WT(SlFDekdlFSgTCesr$_zHaCXVa`1782J* z{qv_q*fc_zKBf^JbOvw8SQ7EzoF#}&`+Lp+Vu{z`}cmHc^%u%`Ke1x9i~2`-31qorOXEnxMRw z!M#B#GEfJsAq!!|14fbWw8B)1jZE6^{7j#JDYz*x&r#WUt_|ufHLb$+JA_4*9p=@5 zS7@Q6fKK}kfdqXBhv_C!kD`G%KG36m+nLYi$%}H^E_suc323oZyazQ@BtDEBV!gp0I3}A@3v6E_O1iIG zRVj&4^GWy7>|(X1;8E*29gC3wi$qc)s>!M{SFfRWaxq~=e?Ir6Ww(W!n{=x@h-Xa| zYU7MjeG68|2eOGW_@`U6nl0CZtgd;!1=_ygL_x~wqv(lsI3t^bdi`+}Yi^Oj#Fh9u zL@cKDW(7U6p@j~i9y75fj)8M#BDf%EUJ5G=X6TyUscJp;-Z41lb?Zi zen}_e;Avsiz4W2qC=m%JE?_tqTaEpZA}&Ir6sG7a+A(@bj#nlbd_b3R-XE!iEb+k1 zaniBy!iO_3a&o}4c1&3x*(M9^jE!7fStCz&6kUoP8(M^I5Ctn|v$dzuWc%EW@C@Li z^JZvs%}{9EaGkI>_euSIYC#y~A`0198&&qva3eYY0viVA23l>0htiVXmD4y89At3P zE|upusNbQcloKeNn0|??R#$zEtOE+Z{qb}|QBu9UIbo&%;ogcMjCSk_^#lpF4d_^= zB0^7eKq9(_82;pSX#R^ zYR&XeY%$FF3#7SVfH9ETUgP^iWt%(`0RGTt2p<6;sxs|*4!5PH@to=yM01fkhWsc? zwBRDKt59cZr$@5eONy0B5yoBT6e8EdU0?urw(ERI@v9-Y7X!`bNAPH1E;JVH`hHTB z72K;nce$tjpVIhV(>n!9+9H0K7n~-?#{Hn$fM0~-Yl#pF9x*TRKrgXH{FX6Va(P}@ zqJIc{hRh$DNx{T3TTvM6;b~uu1?*Kz5BZD&EhcfMqo%WwcT9z*2(1LdUynsO)8JCD z*~R;T+`IRb6=P7@gmCE;ZW!W99-@Mu^`F29up)Dnrw-dy9dyYV61UfGUSaxHaMun(L;-LRfnU zZISi9@J+ASCt(g4j|)s5lR`gli+GN+#7$`K3eii+TR_+|;QkttQwCyFzY}Kgw8U}+Txbx@ z6)Ym@cqVN?feJ&wx=*N8JfTfd#iS>m_dVoCIuxQZ2bzB{ zU#5SohtmEi&|T6JisML`w|HOV>{du3`MM2Q(S6YOuhRLr8|kghtt&T)@%7$}DqPl% z|8i)q3hp-#=QbFl3owmk^&E?D;06$9%Dxm}jiXel4yXfzZjJv8hhFnE&fXBtXofiB z_`Fhhbahx=xoq}5(y?fgXrUpZOD8}_1nT-IJ9DMQaY)@v`;L&4OB(Pmb)M=o%X_4K zl~g}-DDPu$bAH7eg2{N9eb>3@H`t5uhjo!+P=UT!MaVpK3!Zv(reX;Pr$-4iMG>!U zVm39BP;^kTA)Drv_^pbJ)9u5I@}aMV7OU=qS`}>nn<6ZgTC4X{x-Wb%niPC?-J_1# zG25e7fvm|bU#Zb(7bXqCpx_wrf+@A{1Kk}!l6)1rCS*$=(vKfx%N;TO~9 zrQ5qJ=+ZKKP%ad+$UPCcSS7=UQHFM}4L}laQEA;*6Nhi>Ch$q`Z*LjZwO1}l%gXjI zg-wJs$BPSF?rlLVl|le9syaihn0x3{?o%kgMPx7cY_IM)ZZ+;q7iRo-pC2J5!|hr!2`8+Xubi_MA4#AL z&kj3-yD0Ce;|*XN%f{>SqZG}qQ_hE62`2cya6?J(XaBW_ik2G_e80h{N<~%7vC@Gqv;^yzn9YR5tU68(j7BIOU zA3D(wT#;lD;b2HTP&^%Q{ZD?qWM~o6UVbD1hBPbKJjG+&e(CxLfA~edkY_I`ia@q!1;H?o2x5ScMf~1_DlmBY9V2gvZlL%bi3r5_ zW6Pq`0eI_2eo&n>CCI|ogrb?5pYpw41y>rU`*uTQCH&4;wgMn1KOT&KC^1-oM2sre z^*j-U(8cqt?&@LHnMt)*LIL+W0FYh_D}4a(Xkb{`%|DnFga~CrCj#QjgJp&N(BF+M zQWUU2--blVDtlX`e-J5H@CVr0!$XY`l$#$p4#Gf{Sr31qj03655gCnzHGAC(RbFkP9*lV^YAc$;5!;M02Cz!%U3KxLTW_}9W1vOz&B!um2Lej zg9n}>&9}|_W#+Xj_|)rgF-U4O>SKjF&y*-KIOU-5&0hr0h$U z+5@d2Cw(h$cg2CM1H!IxJd{Gp>+xh~dMPD%)+=ZBS{26D`ngZa`p&DBk98Z}N7n;k z+nF$(%w-)naeBsz88OyhPWJj47{w|M4wR8xk?hgZ%Ab-+ACzah#u|3J%(Xk%dG785Jsr=cf7{wI za6XK(l1P5&J()n!QY91kYzxyyPVs2DsU`K)CUJfW|8&0}R#>o-;Fw@)OzSs(Tcp+l zYaG0?vTbFiYTWegeVF38jBFN_*h&1g4>~+OI^3A|EzaJrenyG^Ht0#AK5FEw0H=^` z(rsUH_)t0QH_)`%$nI2H|Gd(!OnArPdEsUlMjtuU#omnj3M?YWtc-~kgLT2?+R^&D zP3ug_ajJ6X3bq`ZpfLLx6yd5}rEN#_CV*?%Sl6+B&qZv$QIOwgDwyd5-E+}YTta;{ zC7>djUJ84GG1n?Dveb^dEBt$=m8JcFX2b*ArQYEXQDrYzYUR8tLBB`4?UWD#oc79O zTzDBmrI^f;s=azY^sWNg^Kc?Pzis%E5KYjO_L0~9#luS~dTzSIn*K2SgA4pJ=J)5% zyBomDw5m0B)0dg4GILPvy#YtRDA%b1k2UMZF6-I~4j&D}PqKlujFyEZ2E(uo%-@U? zT6IfTy?k>EHMO+LHvop>Zt)j6Z4>L{>BHq+otdP%jc5|)BA^$}m=_ayj5xTJr*9cfiq8|e0*p&H3y(D0oJks2WycFrjxiLkJd5-veI=?I z^+!!C_9mt;9)z0^ksmUoK^ zQ_j2O*jVWbTD*R&`pgIlS9W)PRy|7EKhqWwP^KDcCZZaTCIaWiIx7@GO@Qz>_%cnk zZ4G};?fl8kh11N2%xE#wlr0#!Oy0ucVk@e-+Tku-Pl+PV;b^_kbpMXRr7@4PMwmG| z$8E*Dn8nn16af!rUP%r~eRYv!2{GIE<_>K*j*RW@YJMMX1#6D3y})(znPoA5U3V1+ zuc;wBXjf4ulQi-DMS21GFe+yriAN*-vvycLa1X_`d##C(V|CJ{WO)>ywwpwtwGFiH&iBXaD1HQeR0@?nbg`*HI~GbN8r9ZKoP3B~6X>hTGd@Wedzv=p9tO zN|Dn2+rCb$)`qr6ig!)5v-IZA>fBRpR_Vv8f^6`X8!BcN6NK8QPmV94^O| zYF7J~bu(1j7CN?J##YY7+W1J~Z-rLDwjs&lZ&TcWcZC_UwvC5r)l<44wj00CT83uK z*^S#D)KrP;V)WYsI%7UXi|)VY2;7cROb?7Gzs0h>`*_{;K5!PpHF`&82`EJ+H1YS# zCq`M_{@MEiOPC`*_?vwR!@ulHzJv7sy=NN_l2*jr%E{OPk5@_(M6AL ztZqQ6HC*1!-Lv~J&g4c*>XeZ3#k5qv=(NsMTbEODdeK%(>Gma!<;27s(+8X(g<^EW z5$WT6)4}llIghsKS;-|XmHS3gsHCyTpCuye&9h;}I=BvB#vYOb`zO)su}cNq*YMops@;X~99rj0h6Oi~gY_M_%FR^?S3{XHxxaB?e-h_xl@-!LA_u%|%y z>dL7fbPihwb2;Fswmj2a>@}I*KdDl!UM)yxyq|WMct948Y8bRPIvd_J&0Q=U*|TB6 z7|`KVC{@zCF3di@mT_P*eNJx1-QU-N2dQiOj&N-2J@ zrp`ue_!N<(j2}HiDmOx=Ff^(Sli5XD119E|^sl4#_wR;5qJmGTsb!I=*0HIPq)90- z?E-Nldz1}1qg7fe#Z8I|A6!|pnjP%`O|W4~jv4BSJCkkW>%(vnW&w*f0)xjubnpyJ z+fX}6;A_h=AdEcgWxd`2?M=oiM&0>76PC7C`;%sUABmv?;aX0V@*}p-mt}*~n(@m9 zPv?la!(%i8;G>q6ax7Q@Ir}^%~2Q`3n%m+3tdx% zY_~p6O{k#2tPheM&^)4W&6i0g>#eS2IKUN0o zBk&IGjW~aDsbD`Jey7xbBqE;s6XkWiEPWaG~`}HGnTCbeO?+dF(;-%lW z?%e0wW)f+sC6`vv=D1rf^9PVrSr1o+C;r~w1jQ%%h{u?y^zk|lZ zro!NFK=ZGYj`5h-nf@)A^}oV2iPE-(bnqcp?~qsc3LbfBv0lnQ!Uy@s_17xGRk}zX ziG(4+FydIge7JGMek;TB$C_?p^Z+N0)joCQR=$GxyicxxH#*xAJ!fu>3};FSQNKYt zJwfL2MXx*tcV%i^<{K_d$(%c_aI4?QOjy?HDRHA#?UR!I+Gy>i1D9-dSZp-M{jgol{j^=m{h&0$nK12(tb5Sg zfL-?61U4ZZ1lu^rU37Qp^UGCu(a``kJlk-j{eVk>+_7z3=CN(xaIWW(j)cCi{#!`P zLNXy+_CF3dJ5>GlodUcBPM9$t!b0}vXXOP9XyT(OQyo-7WSKDQHKLd zcDA@ZMBfdZ;zqVn8@Mf5Hq>_b5-?96)~8^V>oe4!&$0sxnmZrBAW~SNfAj8P{?~uG zEbJ`*^>>fbU;7mJuK(Dl;1c;m;;%r&vsq~-TQsSPNwFe|%l!!be0%tbRHecVFP*bB z*?9xy_;lvXIj7vxg7h%DlF99w+TECV{&b1Fv2md7Zf?cNrK!1M!Ntw{YpI*E#YOLF zg=DMo;d*;CvzbeWg0tR-1mjJ<#Xo@O{Bz?oJ4sp*if2XlbWg4Y3HH{L8w>kn#PN{t z5ydF!e&q3}-7+`LZ9j`sZ$m|WNiWKgsY^nCL4G~ort-5Q^dg@IF+tgxU2E%Do#m1z zuJeNnu6d;~ltzPQ<$ek~C-gIsiAQK5wY%PX!>8`8c7A>C(SZY-+K3LPTBWKUTy<{h ztJ9Jy^OJ2a`tH-cUTVJMx_!K+{%E15@uTLWZZ6>tMH6+1qTc%9Ldqexo;PZJ(f$Ps zu6QpQ7nw$i@4j>O=lnr1Jz6~7NuYX9v4bRz6s9g)*f&oA* zH3Xm{e^$l6uMLP!&_hc58M@z~&d@1d90(f%z1);Y&&+8qk}hjlOC)F~3WyGF0Hf$9 zQi$UzR$S-~w1p8DbgDSODN9zz!;OdO-A((1Z^!2;v?^4Q{b*c5A!RB~F5zP`D%j2B zh~?lW5DW}WxIu+ucC5n*YH(2o=nm*1>fm>j=9P7f+G}@^Zi0$BKdrHhheW@6>3O0y}4Ie{G#<*+mUGqo;2OY3KS+?ELM^9;|$%GZ)J0lFNp zJ|{%a#S7c1fBI;%!F!^hebR-mDUn!vjwcFeA-=56^VjCdXuYoqSeK<^D z4Rz^6$bGGRYdRjo!$qgtfd5!0JHwc;i7r&avS24;pEjS?8Z6_?6a2MXA9#q)G2WvA z9$TBa)610hJT5p$kltF~aX;o2-w|Z;KA~J&x&ZI^Dwxc+qAgvR69Ci(|IDp19s^kc{T%Wnz*&DEV#8D?=5Gw({@dKn4!?*?ClOGH|z$w=KAn6 zUY#Q6)U&hO31lT4OD|-pHu7Q>>hL;xHvC>TWRIJNVZ~RHt@qxJT9M!17UR2Z`CG5f zNL=hs4R`ZOqF~e|bw)6r$20Nsbun-Utdre!$)~w>@N_)0o|QxuJ}{nKgS+V;6c8Im zf@A$j2N8hWB)WnELXtehL9NX%*;^}nS3y{qw1;c1PWG@kd8T=*!F78V+13POhJdnI2i(+~0Ii z`N!m&4k&b+rmpqIDw|hxEg9>(NzL!(8gl}?mp?jQxXWR?wi7SfR^X)nf&uHmrbBn8 zN%OFc#U%BM@vGuOldKe%!?bn2*;y55?*Mt4j#J%9nblIGvoFFxa~$fAvC|Sv8p0=S z>~np+o7X$0w1J8ZXa0=(lgw-`n2%D$XLu>y*VTLJx4ui;q?PoC7q|7FWqMp{H0sta z&G`?Xo$Tl=AJf~(x1a7zQtiL+l$BL87wi?&eHMJu@D9Aj=IgbP9?OuBQrK9==O{i=Iv86<* zL3$o^Q=iUWwx>Plye5HyKOp5%;~ey;*GJYl19RguWg;-QvB((n)*BT`|4eoyX(=o1d@6MV6EP zNd4E?3bLRwV%&mu0vv=e+;hZ0Y>8oP2yF8FKKb|*V`v`3S5d-=Y;Fw^Ztt%lMx}E2oF|Lxtnk8u%P{^IxKMsqwph zg4;p(muMXw>4AyT8Q-S8xhs?V8_4|YDgJNKO83738R&n9%vyy~WtV_Kdpusa0Nedm z?UpA5%^D8h-qFon6n9z&F6~-+&1zS6aBNoBs-x$LB&VeBW&6K5J!32bw3d{b(*JOJ zS`Plep7U%NWtQOJV7V_OjYt}k{&^xY-1>HU^l)9iOui<^6>Cl2B)zdtO@{qnRp3NL zUrbWk5Z|;6TDMy+W}Mf!=x;{ZU4uKz=O019ru)2*`wkPU1UHmE%7QNVRq==_PaV)j zpS5$=#d~)zM%?R4r5()ziS+MOS>177;TE6ZCv)G%AD!=}FL|LHk=7)au&KkoAycbv z3|EtT_hIQ;Z}l17LAiHP*dVp57FSYVecrZ~+`Pqn#UjS0+fYRI$KSf*>kzqm8JDEO zL8&{aR!;N`FFt>OAq2>E8AXqQNlC3;K#dJczHbLFJa|CD@cXAcUAcnUAn5(xP*WCivajn$S#~I;+Hn4_BrdRT$UwS@Ed%JlPXqoXS+S6YdG@ATQNMkjU!>__ zhR?lh4|^z4jJz`XS-!inS-Z_(T>dyhKTPp^13AS()ezC{A?|ypfapBp$Q@<_C;2M# zENAUT1?07Xb>=np^H_86Loe~bX@R=Jf4oE8D&ysH6_0-VJb;OC>woz?v$Vw8hG1$4 zU|aYPi@gx#ra!Xcrbqp9%%T9Y#D%hcu*u8#@c(7>9Ah}{27)EaV?RecW8BLZAzdjr z&O;oP2hT*O@UU{+x6MK2{=|M+KVCi(q0IeR?QO$kEF6f#?IHS?(Q~)Pb@FZWglrv- zh1I$`;$Ik_`Z;gJ=2Uq2c{=8+|T za+e66QKazBnIC$XzD|wpadOMtM(N`5I4Hi_@C=is=5e|n{2krZJ*>UfNAbSR$n#;? zd))Tp6R=3I)aP$7!~TDYX8s3e`0=q`ua@>i?fzdhqyC>X^ZQ?E=AEI0<$=x9!+_RX zwR)=evO&4qB6FuNLDjm6cge)aTXz1i%bXkZt?rHW&Qt;Wb;!um=237#hONwYs;(u; z)+C+!*9`F?>O0Fv`N`_Pd82ZT&VR7=wvnZ136`Cbnk-k_d&u-Pk0FDMoE2eG5IqoRhTbgzWrqr{t)fBYq(*tiW^O7rV4Z}h_EKfO_C1q=-;L*&+> zX1_5xMSUA6eRF#u(8xe0R8-P&6e`$xkVNqi5v{yX0l22tO9SU<$b^@&ve%9i+Ew?~ zUWS-qgg-EO*m?&~{hdyjMNvQfR&n3D*9T2bTQX{8llyF-#tOFw5a`CdwF{#PIF*8pP0(;13Qei zt6Q@f;7Hco551T(lP$0b;>_-qF`r|e?BP(o*LmfV%1k&HU&<*N>*>;kK0dI$zHf=r z(1Kn4b#yUTchZ7WoAor4s6QVKdP1=_eqU;B-fn%TA3%IW*-RCote0`x^Bs(N{z%CD zONnPhwX8t7E-8PALBwCv3Mvhn8Rf7U9u-wo>AQ|F+`lW-7BJMu&}WoTfPi+KKPyOG z)1jta7+}OhLGfkP5$S?MQx{eE7ty3Bg#zIq{^@1xXSWmLwA)UrJ9AuFsScJQFFF$^ z*+s{VQsmXq%X+bou>XYf-A8U=z7G1%Im-(61NTgTs3W4ehdA;-!>GH%Qyj6!F#@X& zsNvs<6Bcj=uv#2C77~1y7T(s&29HF@bAJk}%g+|lY-01?xhuR_=P21{l1|y) z6%8$MnZGd0a@@PmGv<IM zu>U*I(ElsZuzw@z-#-3pWwzbIseTXn) z!DhIZr`QI|OzU{TsNZ&NoSax8uDL!u(_THkF^qS@5xO_6yt3L^%v;T&yO%W^u1DHf zvRj7dhQ8X|J}A7U-cRVVyWQ?)xWha5?8LlL8*6Q`OI5Ln0$$j|S>FLypX8sMXD%bI z#HKSxI~Pn*jN$vGJNGFGJX&ZF$i4vqEFVavdv&-ykPpHV>3$E(tZ&%EY^ZloDD*uE zo*2VE?bir1da7j9ulbzX-N!9!#N2f+Hy>^h9icbIx>TtKpOn-%vJ0H{?^=_-Qr=l1 zH_Gc@;?&gKIdGvZKQIMQE0d4+BrDPmzq&Vs>A&oTHK!Ne@FAtQBHW$dcyQp>Xk^xI zm{BFkRSnu!sv_7PeXGq!G;?%o+MLIerC;Yf%i*pdjV$`0g{_E&;b^E8MXoBxCu%$jL;Y9v<3o2%N4ZpTaw6W zQcxHurf19a@q?5*K?kWq8Wz{YuIuvjD8VcMW(U4=kC*|#Wu|}e9q-m1&#FjLBW(k^ z35Y)gBeBmktVI5$U7&pE1 zn6!ER6hj}ayFl5QRQLBC%Rt{(%Bs~5j<~8Frb5x}z|5k~O$C-cV*_KI@Wwt}lf+(Z zTu+s&QE-FhA1;M9fo(-2w|^9Vnr>O$i_oPUtFrITz+*2B{9mTEj>?Kd0+Z%h-W1~5&bsUk^=OIhzuP>n(xW4z|S}R>v-1Ex=qC8tAN*(zAlE8e(_4pF7v-2 z@<@dKrMM!EK_F=80W-(t3{DU$?CixL(7?rsw6H9tTG_-5mcLsz2ZJ3TV7Tv3JtFp) z>D6w-{L0M`WM z@DC72rrl!h68|OuYr27^zXxMCLnxCD%F~Uj0lFz77nYJihoC>{bu7+X0{c{$XEcFF zGKJti2x!&ELIS%KoKwfNK*=u7Q<>Yq*v8PQ0(3<|Bmt31Ti^z0sl)4Hc8brGdcb?X?DeE*f}G0 z>TSYs#hB=so8JFMb+Bn#e$69U{G{IA+KnLtk_AB5px3W6qVIm`$x3byy$299r^@=s zQQpxUNb$ZCmiwuw_n-jc3wSbF3-WjH`MWCn|Ap`onEr40{5O35&%uYtx)%2D;PW^2 zb~eU;pM?5fski^bBLB~dY2-x^o6?W5>CnXiA2ZGBN67HCXeC7C?OER*AI6~G3h=lO zuDf@W_w#k{mlv)E>7Iv%=St+B_k3QMrrd)qmbc@}n&Y#DY1fgfP1bGt&ZNq}S>Bv-Cvd+<{;3WHwAPpd9dc7F()<%MJtojz91t*_pbRdaSL8z^KS&#y28J^yYx?98n=2pN8uSX zYK8Z7fep*P-b{{$-WM=w>1lC2X_=-_&MMx9aUU~R;W97356F`*87M2Cjk-?xTK+mr zx;S&LQreL{W6}iY0}g|rL*xU}>q8*+L-xbRD-46~y^SCQmjkFvhw$sCiEt%H$nVV$ z8)ydwuqz`5mIOfcGlT__06_6G28D%Dm?}yK1t`u)T3rVmC3~d+Dq5unh(YHts3{f_ zib_gTSVZItfI%HiWQZzMj@VV8kU=8{_#r8tHl4rdH$WFE7z7&nTQQL8)iSYs47I|V zgLy?DajJww^IF|=$R9g9E90E+G@*P9mV8=9+NEs$Krs<}-0om;A4|f~+uXr!)+{*~ zqgwH619~SeeHob{=4AGzN{W3t{g29C=dSmGdySfTM$BEq&?Fmac7{hy>juR5Vg{U> zear&=j3~~OJ7)A!7Fra7Oo|2y5WUHgniI#N<1f(R^S9YmIv&>qyFV%lG{37I`mtll zd5-Aq=er|bBwfH7N6rz$2gKB3gPN17v5JD|%@xm?9fIaZrD5Fb0x%R5pqJ1KQ3sewkiWm^y7Wmg7mc4?&=(DQb&X8qmA=ok6pr-E!)kk^ zBThd^j?>l-qYSCe#*dxoXm|t{krbk}bk`qL*JiapBrmjdI~@K|rRjJ`t|ZYtaJW^* zk@dLUFG#cjV8^K?-~5~q)XojT@7%ff&nv}H=VXjuMZ zvHw^io|L(ZG2Zv87-)rz4b1gz$nh-g^qtHcjrH+d{{8tZG>kOgf7*BFsIiUFU!8OG z|15Zw-0h6b5`G5q*|w zk4Lnj4K~r>q4hX#;s?`-rrG&%j5@3>Ra3CUr+@YM^iVXfD@{lcaH1QT`ln6Nphha| zViOS$Dc9F4CnVP=|0!1}VbD-sRi5@Upse)<^-yvXq7#Wyl_23#E>=q5-lL-|f_xtb zQ%+YSr@eu8BT-bp7X3*9^=YJFtX)hzhp#KFx}s(-c<=WRb;_=R<3vh%0UV^KUsZgv zLm3E8#O`4r4~|bCGR}T1ENhnr;^D``@Q8Ka7YORM^~X#vC4<>=Yj2PZFP_L|Zkgd|vtq=BD*o+Tf20=9oih`kEJEs&;( zRwAxl^(5{??uP7*?HGTxhM3axO-!0R7%82+zg|yRJ=y)q{T&8Oa6bskRCc*lI~arC zm}UvikACz$hQ)P9kGL)NVX$HB`MEAf`RdnbV75eORnKGvTr>si&vLCL3FA)(Mr`86 z1Yv^_(OXwTCqU43_K|=rZAH|nS3eW{sPPo>ydabKykce_Jam@7|u@ zJ2e4g|6jqbSQ*11sEw^sXBq@*Jl{x1LDge&vb%<%cry)Fo+nBb} zW6tAi9H+lcm%_M~HpigIIlRt^L3LH>gj!P9#uxf-mIgL8jd1E**Y zv@2}!8IwzJZ1<8VTPBtCj0(WnSXqh`P6_Q57rd4%ylHh!`>zxfLg(vJV44 zr@?pi-0u1%4w%L??0yox;8|Wq`Ycf#DG)N*DoW#)`@>9^n~0Q5+v`RDQl2DVL7SSi zyqwf`&uod&e3WL-_%-frv$MxAR7l_HFPFJDw-4Qc??Rrinne}~*hM<*_td5oTueur z(kZn@**1RfAUwAFOQ5Sqy8b3N;nl;Pm3F5(e?tcl5X!Ps{vPUz-np-|J$bIRpW49` zc0k;~!NoKbxp2kryN$3`DpU{16z0iJnfmjGKf|AZ!?Ni32I<>AaQB^)<%2d{EuJ!m z5|9~olQfy8zDh4XLXSiJDDT6#PEB|Z2FWFAU5Xw~rkINHJTlhFcuJyGmmPV3_zSaz=F4O#Ut;b$DLCFYF8+oNKwxAsUJellAr z*J&f@yP}8IInPpZUfYUXnK309aIqdVq%#u;zz9aKw}Nph#?1` zKw|J#cjiH!O32amLuSCVb9sK&n|n#6X-2FCES5 zG7Ao5LaQtlFT<#;!b?4RniBEv4SH)QDZGf-04zD#;*KG=ga= zT4~XiNObH=l8T7xGN{reOc`S^V{Mxfm3St`(hi9lt+hhbc49Otkv6Ecm^kmBcg}m~ zy!YR|_uTKh_uTLP^E>DF-3xy?6C0bVJsdcQ1Q}I&_9PPe3z!tEAyEq4<3iIB()F^Q z`Kyu8=6+pJVP8DAIe82@&>kpn40g`fQNA%suaw$nt-XKlgMt{3Fvc!ee}&xu7$h&q z6%*zfZ87H2E$4OB+P6g9`ogem)Y5Mf2KB*!@r@D2Pr5~eVe7N)*730`4l8pnMTpDg zA2kCr1o9(BW2K)nZ%@DJ7uD4Qx8eh?G*^9Gr;B4?nx6X5o{fX+e~HZrKGE5!ic=ll%yBQc6^k^>hV(in!N$oi3^l&PB<7~q z!jfZ4xtJB?^~_F(xyNjT888*PZ z;(WD?FCm%IQ$7AxyV#6+PU%oyv6zP3&SmBOk;{6qVjArG!CkI}LuoNh-s$aXv_;rAH z&bd91PmbIEz(JkpvOj9!o0)tkV$;7_Hy{Ocxcj7z-th9V9~%QeW688n>j+X`Hn%LK zBDv3SoBWz{^i4{}r#WSav-N^6Sl=b#dY{HL!e<1g`ujQ1>bb zbt!(|!86Et=m@~Ki>4A+8{Be~d$Ap#b`!P#T$;PHJNVuWDRI>N*bQEQ+ctS)eqymx zWpQS1eB=^3XHz*sf_ zf?h2MM^HYnfxAZP2s|2g9c0lrI){zgs=xMOlpEr>`6agvF=6Oi1q*C|)>@Y=6#*&_ zN#9HnuenxUp+KeG3ReFVjj@Zmv_40Pvo@vT@TOAylj;1o5GiZ0#mMgI!E^XxgMHN5 z%6`EbC`PtEO2ICf#`xlm0e~0G8e{^-w6PUgym$?5JUn!|E4|Mz9T|!-P1{G+fAHFr zn!l^?50(nLky&2A)s#kYXgHY-$3#$dR?z4t%P)u5vb)94WBm$#(`%==v>_^GxzLDI zQWLuRKJtB$q1h$YJz3=KqCRDE`w`09$}Z$jc}>!7?OEkQe07TN?Bj#2m$tu4`&k-R z@R{f7BA3feQ}fl5A)P^t=8Hm!{vO`%E63*Y@^2v?ZFzfk@!X1yZK0doNbk0qrm}YL zjg2#+4*vAZE-t;-VF?AF{dKXZr!5+~)`-i)|-Jz%4V31Q# z_z4d<9DdyGI1CO2Lp+beA#U!j!2j){jN?m+y-N8G2m}BBBuh}Ai-UWpfk3fA=T_bo z`t+ByKE`=J!kKtScv?W-0$vcIKCe$*uxr3r25`;@?h`^3d!89wh;|;1S(`~4x0Yz5 zJ^mWLvwOWu#n2MCi}_34U1H%6S^GHt!y3|xbc4OMODE9Y#B{rdo=|N5D_e!`{*JUV zb`3K?eEWNomNksACF2?F^6X@NkV I*wb2n14T3yUjP6A literal 0 HcmV?d00001 diff --git a/hw/hw4/hw4.synctex.gz b/hw/hw4/hw4.synctex.gz new file mode 100644 index 0000000000000000000000000000000000000000..99d00b7ab202af668745179a84767149a1aac7a4 GIT binary patch literal 27225 zcmYJa1yCH%^FE9oezb1-CYlNhj3^PcMlre-3bl{1PJaBAVGr%I06I-fj^(` z@2z^bs%v+4XJ=-+XS%xQd6qT-9pQfm@|XSzA6mr=ZpfPDm1sB`->~z+09>?c+iH*6 zK2CUH0nIo|4%mUidYfSx^KysS%9f3ks()L-(dlMvyO;452ZJtK=9zZzL*Vs?fq%3w z=P#ju?|ok$mKs8@EQwC!a)9%Xnn&qX%kAIr? zbGt=@A42|yjDFfQ+%BZC6#vm58vGYCUGn=&-P6CTA5+^GMFV>&O%i=$FE5XeC+Br* zDVCSp!H~aq!nB13fIoZy&AXSg27}a>>%8rP*_VskD&fKHe}BG(-v3=%+cxBS_U7_< z?IQT!)$RVs5{x-st~AI=2q8Vkya7z^3=N@N1B#J8@LRgu1g;e{`DGO($K$bY7T}#{{7t?H?+K@ zeO~)|*7xlVH(p4NP!#@?=x-2r*Vm)XwZFJ`ufvwu^+@p$YIw)cLr3pHd%5jtaX&RB zTqGI#^yH)kd`x7yyyozG`Rn1at)J!aHfWOI)6?O#hsU^RVcK;XJrK6P`Qb;|1{Lvc zfbkK-b!JRJV`Ye9Km(JIbxzK^eQ>|~yf(g;GC0`#0>3@q-`qArbg=zUMH;RB+2QAh zL0QXI{7#3%5yT~V?KhWcSGnY^bN46Ly-k+$xy2!Y_J_aPo`2szoE^P>IM3>l!=nG! z=LfHUE~!C5p+L98+hGT?i)#%{UEX6Kj$nykH}xLhMf9HhoAh4aRU%9D(0i7|%3j~- z#A#1azUb`PjI`bCwG>ScTJkAXhl#Jhe{^bk421jHO^%z3%G);D^^skw9>q>mx~(2* zHiw7PLddfpjl9WInk4`Id0?;!t!WcH`<=p5ey6$feIALcLvv~C=z4#VRrn-lZd-yk zV()|Ph2IwKWzjdtBW-S6!L4{b;npB(83gw%tJCtbJLB|&ZS+9Ezp%BZn8Tx(xu!wB zNwp4mdAA(suf<6o#UnsjSDS9??3y5DU<7jMGZnzHP(fDv0ije7W5G_X%z6Zqa!B zA@uq7CFF1PlvS7SpDP0hQatu`dCf}}p^T1raM3v<&$il+M4N6PGU+M?V$ z+9+ef&|rmue?Y8E&8FNrlv<|)vx^&O(i^uUxWtN_xt=; z_$2Zl&qh}-uRXRUIM`=z$9vbp_Yz1cr6=#EV&d>QZ^9_QwM z>2RGI)Z>nz?TqH$yx2Tyusjv`EissGbN1-}3DvyMRX6eygk2x%*sHk#i#@vQSeJ4A zX8FQT>U*+iJn~q`*XKJ7??1I0$@|^!JIoOz?jpaIM4Qj=-yHrx=Q!ZoLa6NU_U3Z` zpa0mMP93AKk_XmvkI>yJjchvh>4E|M*(p4H`cGS?Wx=v)m4Kl}vP< zz0BMvdVYMkj;VTH`g;5n`Y>G1F&F)GG&8Q1)?3wSIT%8|p5IBdpS!knN&A7i+w3&6 zpg_23FytTh$_I63je%wJccwe1h`~>PcF)A`<)@vGRB_a~?X1KdyGB~MZZBtreoq}$ z1)0%fU?DZkYWCv(SzGgUVRs`~1AJ z)X8l*=?;2cg%lJydJKw%l|G;UnBvC0{L5{};4D@zA$dLdQc`$%ffjo3RB^80a+^qg zf4;wTHaPgVp{46sRNCf>z4iWbd*BUj^|yqVf46@%?=CO4Kd$hrga=-I2C60}qldeB`%pPNVM_F^+rI{V-Up&z z+_Rv%jH$tD(lwOcr;xhPun+7E^65=3t)&>I-;vcVUP8UD_d;wC2cHO^sn$UEV8N$i zmeq}V>R8!`F`|6IJ}>Op(d_~lnAi!mOk3fhC7dZ|NB7{wdnC|CKm7B}EJds+prYNN z{4wxcQp&l^XZbx;fmH8z5-}PFV}DU<3WjLZuP3RlLcG;<_d^a3i(pG-dYS&VqYC+g zHk=y5RjT>H31d4WAadKAgW~`oZa|_>KA!iiH1jN*=)T&jn4*rfX$1tRU^G4v=z;wt zH8x>)j4XQ08if}^RaMSvzVpV{gEGJ|B$>%C_|F1Ty9yZ^$G&ziRhRsw8pB=7{DcTM z-kWK@ePZUf$5I)D%(i6oRnb&_Ms0?(sD;Q1-108e%sF7>8+sc%wbls-3-vg#qAIH>h)u`dh_|Z|q^G5UECg7(O4xI78IYdl0C?-g{cyS2rV;mZKCwFvl zT_CYpB)PSqKrfau)cCyPjJ!SikMz4wsXSlCK6`p&i%=7A!kxppS1$+@9Iyc9_!;ht zLzDffbNkjGD=rWS)2yhB;_yRb)>l--l;;cPZD|rq0QA-%sWiuG+^MkN=o%6D=vzUK zfVxGMmVjQ9@Cu49lqiAt8Ia@U1&^2VBPOC<+cqZF|UOrhU zt+&wmj$1q{Z&trYCkNr>*F4?heT_$l0(H_P9DN4g$?@Ubz?1Lq02#aWJ9Besb^bsK zQD|m7HD(P{UA-zU64F}|*FH@g?Y7S<*Y&~`8!y3E!j7-2ASU#x^J#CpvYPn#n2?>2 ztiV;>X*MT}Q!}3D>Ofi9Kp>1;Q)puIU}D(XsPLCzAD8B8d+1=SBEOBj#t22rQVh`etv`R;?*Tap7J{rZH&1LR#$pSy9AtAgNJ zFu{hC6mQXw{qK)VM)e%GCKH#DD)dg^(#V!ou~%M>U6Wauy4MRrMSjl6)NVe4_O07eFrbtZQo)uH5&G| z3XQzfI5r7gwBSL-JwD*=#l0_n85rpEe&kH@4E2!eoTMG->QCYVSU?13`_CB0?vBq{ zZk{Fi`8B^-z_-mM2OZYUcqsdPN~zZtBOAmV32m>zuc+hves@Xs?+^#eZZdcSHBsNk zImC`92&F5^mGU6;?c*`g&oAP|#S1o9^V~Zn<$m3V$g=E6LEOX6t%f@{F;W>Wq{}~D zcppd%lG(zU`#7(xIJLu)bmPKJ`!RA?gAVr0p`b&GUllQ#-KGYBeAToQ?v zl;@LZSi+5s*)lg`AWk58R>oGOUD-2AW4+xzZ=f2j#&es4SYRXi!MiBpHb@hAv!mccQ>7v0RUkrl#-QjU)DmudPa-NF77nu~F5 z{I$iP6JIOu!qL=dTR1c7)8}~|VzrEtNl|&-Ka$RYBh0?p#2KLUP&)aed4EEI?9z`z zK{$WPi3D%bi0rVoqBQwgC!6zxo6G5RY++(Bmfmin6-+8sZ3W473_ip+D3AK7afvaC z&4s(5QvXTQtTKJW^wO;?aaJTr<=tqK%s0rnA?<}KY1%vF>v%Op3pbl&`I<&aW5A!Z@hmjbGiGoi#t!ij<( z%eTWPglCP6<%{ID)#qJ%$Ra+o-JT##_kH#<2$XNyGh6WOA)_poM60N?O2Tq3_e-Bq zc4+jwTE=-282$aDnXMgT>9qN3$3z;@;Fz@;1eRj>6nWI`3)~57Aw4ALC^KIi7IVoY zaZqcP=Pe7iDY4fQDE>?~eVu!0bgV+Xy zVvkk0+s4PiaZ^e-*~~i9rzI8>K_m`5UrE$51{rlm7!Z1E$xI>gFZNoA(PXW!c_=Ke zW4h=#hMUwe(?#Y2E0IKH7CS=1eQ)gWQ6o@ABq zS))`pkDVXWI=pRo(L_80!04MV5YS=kBrx}k&c@l5w%+7kHT0OGp<`e$8~tYAS3Sn> z?X9Sb>XeuYeT8`LL#bh|D590wdsQ7h9~XXLZwqH&tw%7Q5TEfH@k!&BaaKp(Wr9m_ z0_mP?WS}*;T*(DDN-+^02pUjlPoupspI(ulsK?TP=6GWCt?rJ-HKO2fF&<}fK@lOq z(I2L=b8FECzUd$>^g*bozeO!?;F6G#z%;2*BO?~ghdO=kU_{cEy@S2mhE#Uux=ED~ z$6mpmzQ4dP*UjIt7OH3U7_KWlu2=S}kPwq%dQJ3($*dfV{Slws0oz=^Fux4N2T^4{ zOu8e-Na%qS0-R!$c&_PpAFJPtcbFr7K|#KtEIw!lZ{oPWo6i^Sqo|fxGQv^T-)*-4 zuHFO};;PoNf2rd7MRPwFVgZXD66B>!-5d zj+Gdga~<&#!0603h#k|rDj3+9Fv zK8L@YKY`tpiPZ5Cd#d=#+m=8DnwjLIz#_AMTTUgw{4G_T;<37A*u6vJD*g$R4I z=+MuvK08@K97Xc3KG0gAN`OQ=WQut=36eFkhuSvnVh7g<^z1W8#awz5qyfupBq&E2 z=YA)xq6P<-mT5s^N&G(|i!T5}x_SFwdn) z5+z|bF!@!WOjnd&_|VChISP4*aJDtC|J<~{uKWbl3xTrO2sLP54P8qfPU5srhN!9L zxn!PYa`RyIPXy+LhM5(bM2oEU^AB0qgtfKGY`%Y{!q z7f92PIyRvl9==R8j;R)plmI=jX`34sSpCdJ2*uu$?J5CJncZ{mHgaC`Kq&;-u3nHH3sL`9h$7i#j?PTrE$d z(BO_n%2(KKSJTUPe>2~oq~!xS=WqT=To!3g{DB}uSeBm{w-roScr5s}F#ggpXK|hB zo$lOy6rV+mJ4|{wD6aX9fCHo+rag))x7x0a9Ws62!b4jPwz3juE6hXwf+RV$i!6`v z7ugT^+Sqj%CRsa}YU)Rr^Kn@iCI6i`+m@scZ%8sZ)#w-Vx=5X;gxqxW&V}7F>c{c*?u$8w!D!E%;HEN zi;J4v(FGswyX9#LvE_fcf{U_)jN(E~T?dOp0F9sT_ zRTdZP!SDPIEx6o(4EcB7F*?=RF5U)G@6HbzAr}V*3e5fAF^eGGnZd^gv(V|O0>s?x z&9JJz@2eL+7F=h8KEXNJrVl*aodhV{of#@Ezu@`VMq zQ@Vnd>PbS;Z8F;P=|^VK9kTfws@J^_VGbgI)`RJ=IXXm5PKQ8U4NeEgS3`|t@!Q(} z$wcLZ5@>Ka%vNh9ZyC?#YnLDgT1Nd@0qB+#jE7;Ki$&%N5;aS<^;mL2Z1cYwuu?j0 zn$EfwlscWbf_(V4H435*u$_PmX3hC074rv)*Yx4Seu1F2y$A0~KGE*{8u)~FWjby) zKR=!6>@@Ush+$P({0%>jviR#?X0NQKawlUr9oVFeW_{C}^GjZ*dfQZP$bGv8>F?KP z63%{x^OxgW|sY zU3J22e&6B^?`WW&squVRX=KJ!t}gQE{JZ~7D+{kP+<-E;m?EVt%vr2F>=gCaYrWa| zFy|?9Q7tz+X|(wNH1dAI6~s?l{aNI=@_5?261cqUU5Vr{l`ER+3Tm5R;c_^YqUCZZ z54$+{1r+$^*|9L63EJ9@Rn{t47frD|Zwsr8{1+w>^Xifwq#PWm6y`y~^VA_c^W+?a zTatx1z5rw(^$dWb-guf)+xpe0o;>pfnLP8dpgk%7%N|aR-U#?}&T>|TZ5R3OufUD~ zskYnGFkJ|??b!-)l@?N=Nzt(rj+d&-lZT@t_LXb*OGejlx+;FdUk`-IAw(wKX+RE2<%^4To1gp9VigRI@4dI zQs@HrZ>W}>trUMuV7k3^7SKxmJ8Hwy_hqe)y|BrUy{yOLpSHwO<|%%2gI)^Mtzt5) zmwm-Jfth_JA;`T|N05A<-A}@`!USVjr6VIUldXY_v7K@My;7Cu!=WF0G^e2EA)(L* zWmHBR6^e26nVk6Ffrv%9_~IxA41wtN3VH|^;`1CJSjjcm{83GX88>wedm$9pN( zxAY;Xz&s&f+fojHhh2Yu5#h3XC7iMF6DsL_q-gyN*VsLhgF+Em`i`DD@*eZk;TNlw4H0VQ`cc=FXNC$rt^N& z;5qso`{ zJ?AQco}Mw8!S^Yxa2&4T=?7m{B9l;EA9*8J>%^}LH78_M6l=t9#aW|<=8Y{GZFt)G zM;sFEGa=jILEuRP^dT2BN!MBvjEzlKK5p_=#pdNdeU5JJ!#)OKcnoA#|?!|vo zA=(gQl$Id_xMamud|*gOcT6FvE+;7`x{i=GeUH zpA~!Um=pbKm&cC$P^+5l?3-#n z2u5zzCiWm@R-u3+8&OJLsIICK4~VyRRLc0;HYq`Q3S#FXJx}byyNpgtUCt)NbCLT-JM-i)82__S8boMQQ0MAs!)C-Y0comR$L4AB(+H80_ zi5eJDXk<)JS@{RB*wA&=$QYiW(E&TBz;VaJC7Bm6vGhg`;)uns7y?r=7>P!)6l`G!G3MAM=so-bo0N0b&DBshWrx#8NfR%^etsYQ@g}Wci)^DG%(l zxld2r;LeJbItK?Di7+M-JBGv^8((GOGJFqAM4K1pEu2v_ffgXG;zY=TfAHWz+fcuu z{%^Kl1Vt&56^X!WA`_c@Ys0kuQXJNeNp%UtXcxnHgd}DVO9|Zqz9%ea;-CKG&{@NJ zT>$s*ISuKCBKBsG712b;J{hA@P;IkM4Gam76UBb{2Bm*Urdsumx+rL?Xd(%mGNSp( zfjf~%9zy!j0t5b+2ami#&T@*_7hoQq($#P*#6o5%4Bh;O-rx+I-lMVy!QW1^6qc=Y z6P%j3Z_){2uBdbIBy78jaOpFJMX#CxlTdGK#ETFUdA98(Q(paCx7yIxgB-UQwa)d< zW52!%&fiGB^gX}57uk4)^A$5=WoZ_rZjru(_0-gk8-3)V4jNC{{~EhSD6?(PoS}xW zI@)Fg`@w&GzTBM_eFynGV}*iU@Xooa?HD>3)oI58+J2noVgj!%Ag7_Mgpf*6HXQLQuK}=r8)v5=6nz4G2}hS3y~j@w+T)8D8A6U)iUB%AW872Ctw~`=aLAam<3TC{5_TO*7}ULIHD4d9Uyj@E!1L-oN|p7&g6VIXci&zc))j`5|9T(Fc`&{wvL`vt~vpE zgo?5+8S5LL)>}tg_L4&cf6o2Sgj0w#7$2#ls5(|Nwfc|#OGNJq@naR|6?(PhSKWv1 z*sP@ARhK0;73DR`ZeG*qO_S~ZvHMM8MkcGTus<44Xcms1%#=92LjXs=qP*^~-+ABQ zRm(M$rCs2pK0+X7xK7ODgY#-JK@pVCsn=9pM-=Gr9-6eT-@oQhGv^tJ0u!D1Tg1p7 z8SkAMxa@rA1MRI{K+|6gkoa3NVQQ{*>jGj=t6yP#yc2P|yI6Pvx&h&xNHK7DR3UO> z2W7u0IrcCO|AZr>tYYo-$cTqaKD;6*1pL8e7wdjBNza{+Jj=oW8+Q<)3~h5WOkC_q zC)SJX`(S#&Qs;vZ;PX63Hjj!3U-Qw9KYte(Jk zVSz!3ycz3C2f#sB&?-|LB8uci3_%3D>XPMvd51Z%Q-|lWzj%pb4SpKR1(VMs za{U$a)aw#HvnO_h`^~fGW02f`W2%rwnPQ4MDLC*_1yEbC8PV7MY^?yvlGc|{)PXyk zW5eyjsHZ=0F?F@2cIzbfC}ddg7#E&xLh@$Jjck<`oXw==u-~m^jfrn!&#c z==%B{PU6sfMuKIKjwBRNsU9Qw>8>#xqz(z+@30m%kH~K~{vo@L*El2$krBmCbn=_A z?H%1|-tt=49sxBhMFj)%W~qivuzk?k!$6Vk)*qXF+HR2Ue_+p2$Ne@Tx+oD&UiwsF zD&pvpllOaOar7Ya#6DONSe2HLfxKmQadVL!rVaa6u$dU@i(|^jCozY2D6EPldYFj+ z$limi@*YS#=^SYwh{hhI_eDSvh{>&t4l*e)94?MUdqWwukf3#tI>cXtltk*=o~NuI z2T5si)TyzKMCRUm`?|w(WD$v^Dyi{WEFD>+FABtG3jE|nJpVHVf^Wb`?O7KQOH5`X zhN3TUbS!`4T<_g+Dep+PTehI5hOIH_-5(PhH#EK(au|-<(0<^ioHg>;T%&WRS2}hI zr<%8;*ygYT!GB2}(fxE3ABpm(iyz+XM{k0QZ%LCyiC0$Iz)Z(_>%)bm<#O?Rgz5V^ z*)zuqFsiQnumxRt?XWBqb3lZ|bNO+zj($v^gRA+acc;Y!VQKuls5%bTnB}uy5XAP? zustVO9mN$mPuGLf`G=yzcpGNFyeF&lYywL=vjm$|VLea@6o?Wwke#XtAo(#Fjk1)S zcy&u^4A<~4?D#m8`j`OjWZKufZxqxbC0B=V*H~hOUNZX4dF~o z=dU4a*xerdU?T(z@ByCH?*!knx%ZCnFW|ZHvMA3yR2t~3SNFN0VE_fDv`}@78zpbp z2q>QAsE~0QG4pjZR=wRqWKC3wHEHJhHoGS)7miximX6GIZBWoHr14%ix&v`4yUIT4TGHSqB zyK(ajkJ|3cZ`YkAQS+}y#V6C@E7m!vbtv{jj<1UP^tRgp~QZusHoyEa=4<9SOACawz(?2>=dd_F4ucZSpNhTk$T{TUsiDx4D^|&_%ed6kxhuI zYICmY1c^&2PfZ#p1chE4UD0QUsf1($UVd>5xrfQ}+O0c(-b!K?bP+X%PGhiqTvJ7L zZb$O;gO6B$NVw#BAd>R2_7qRt|5fr^lKeSEGPm~*^X3NM4F9_o=WI&>?6R^0<`tT+ zlaS7nIW-c_Pq#q+eH>_pMCU6<>lbbmJQ1TD!0mEg2lkrQyr}B1FXoKs)onsV+XvOu~cz?TAKcfz-MCe{Rv7a}(u@;D1 z<}rq5==3!ohzF_eTKKrGgo6BZv2edJARmAD5_?5uJeb>hqx6dV z_Sk|){}1-vuyeuCJxDyLnB3R8ctN`QTq!r-iUSn4@@molAL{F7m4@^m>U+P!%`uEk z&Ae)uvNS+29(PbwK}a|_${}Q3p<730l?=7THNYp4L9EpEbF>}_>}zkkqFtN0W~^Ph zLrp4b*}u&sHWyEZ8X6P}2?qF)g!w`B9aOn4(yETHBD{*j<-$w7Of6FLy#`I)RL8&v zA{CtS4hghKe7?ZR5sJ)`tH~sPqJ}HJ96*BH4mg!B6a-tek|PRDP-1HhFDQD5vVy;k_;FgeVrwH)J`IacYk>JNo>XZg-}k`R|> z=Fbf?ZYI&Tz0i4iBqV~0y`JgHAXteNHcDpi&`l0#tq?N!>LmpFuj1x;wP6`IW0DcI zLVeq?CtK=(ppxHYpv3()R2vxM+YvrKz^X<500?_uXQ^Wr>~1tjF4m7IKDM}Ph!ruh z#0$%{PRC{9eXUMaWE0ybiF1re+?HA>6EE{`2pNW)(_l{~^HYBX!NT+pm?=A69#C!S zV4h;N(^@~#^Q%9$CfA2SN_jwxL@g7X5&~+jIS!x_14^j8$CRsLwoI7F&g`mnPl+kq z>6o_-Rzhh-vh{Txs-HwzniPv<`g+YK~ z81rztnpcPwFPy7!**TCmLNoJ2uh4A9KA#mQpg7m%=s>!e|!=+jPA zRhb84q(^I4>06!PmZP~SlJiuvE&uJOYW8gzs^fDZ9qA!BM3*46o3}^xKHvEl9xY^q zRyTmzWajwTfZB`czJTkE->92Eys}B8*wvFe=9SS))ay3N6M0V`f|YqwPqXR$V6i~M zA<7auR#7?fd-$tMH7eR@fYv>`yLli3DmKg0M3T=;8ZQebL_x5BcPLGW-dl|2DKT52 z6LKG6g+MSG!HTeL`Yu`X{-ECm(#$%~P+76POhdxb;FtKGvr3gfV5niuQtrZkZc?zx zt*re)b>lzCdk?u7W6gH+&#z2v$ZZ>4^R;or0Yy7!ze0>>-%s}tcQ_;U-~poYpUSF1 z%f%rC8zq!zv;e+h0dks%$M7p#2;99yW8DwwB3pXNDcXtwFhRCAzIU{`8J>#pBP_$- zR40IIWu1t6&Wbmyqr`8d-^T80N+t}<8|ZjgpFiFy>)83RihBrcHR}i}$aP;Bb_6}K zof6TOL1_Z|dxM6YV|;Qm@rOJW;)u6yp}88OA4JMs`kSuoqHi}*@UDs)9nvL!~|mIcen`T~qN7wDVw-XMx}$OmzfBrdcCYVarq ztoKYwyq9QDwE`vW@>7-^!l;Ss#OK1i)69Q@sGQSV8U94z5nm{+4 zDSVZ0urGhh2*Z(+_<8HmeJkbUs$sQGX+%7Z*#{MS4q4I;7MeWuV-U`tENSql0j0^2 zNws4vPi(Q;fI?)Iak^R#G=)awmsUdeyl?2`TWbHqq`e3QY#DMl#Je~qvq^goe1s!9 z>#(raM~f9OoPMAV1QA7}P#5N4UxIa`*{&yq@%}{N49dcG=)#+ap7f;-2%El`L|q)- zE+fXP2k(VZ#N!8}Sj=gNR96jgB`=oqG;3k8{#Hh0unC_F*4eQWV9C|Q6q|2X$hiQU zdeWMbA?C=~`KKNs91Y2h_&}+@G+&FM898YAT6|5rx&_bpptxa2$ACdHU$oMszlNUJT)y?r}HIsmm8}I`meNo7rRpSX8X*44JAW$zd}K z8`YZc0PKaIIwzIhW7AY?(0Ml6uz?ThsF3O+Jkjfc;RxS-@K7M83Fx+sB>#oPNUtIB zO}TuvXZ9=Drl&q&_M_0?giitRWYL8D>jE`?m zL>CbgJ;NH$h)a5A_YK`8idOyD3(tBckINewJS9TdcC^-JplbgUza3WdwcXO$TJf>U zr-|Uw#F|usH6H`+w ze3^8I5|D|^y&?}cO4_}RMD2KQLB^jFvv0-lVCX}zRIQ#tPTRnruE0nQLnn1yw!p8| zZh7}6RLDoCtP#?v&0dy4kqLXCYJkcni6Zm;Pd37;1e{|M@>>3o>9R9l$5CVgk!=EX z%062)-vcrr8a~=Bd_@tJ{7EJWRumlsISPy*Yz0Q$>Kdh_cZikm0OJMD_zkeIsY*n} zr1%sbhPW(DcKyq-P-hT4fc?8=6$q+3*4bj5Tq)uNH1h4;5ty@b(}L`09>B*Y?I2`S zE!bLMZ*pl+H#V93ypY$&jXF@A(+C^xhH0M&vy&`e>Z?hFei2LC_t4(#C8*+aZ2vO& zc85v>H)Z^OZ?sz>Zt??=4bDLmn!j}pkm*Wo^9Q=A&3vv@6su5+Yl&d97n|Q|^$|23 z_9wToU5Cq*wm2JLCHZUf2J+2Rl?Z1H{~%Ala+bNI;x{o1gQjT77HV|m;X4Bpczu(O zG9$d;_ruanQ~()&aRv+A*+L&*wlnnuHpLibqb@?BlPYh?VYEVgF}mPI>q1_3qXLYi z5xk-;ukHo>dh9XQ{KWRLecnv!xg4-~^j!E{bmAiAxNHA)Ae|XM(#@aWYUFDvsOT#A z+fj`$KNC`&VdhT2&}f6Gi?cx)+*$i4LF`3Eo5>76Q!2l7p-74M@|3l=kO9D>BFq|( zkExGKFcWBG%Pd}-n6(ft=@4^*>SB)#T;j9N!K3Z+-2reEKKdkE98kr8q|1>b*{s|B zW*3-aQr10_ixC#EH7H4kR4D8q3XXY#g$5N4YG4QWt(!q6(RpjH8mJPxjd3Z|J*f>d zAJAOLQ8vmwlk^FQ=jiFliK-snbQZ2w?xfJ?Re<8>$_sETJhOQskgWO|G_#ih&BXz8 zw-h`tCVup+L-~|R#bGuKZu@K)RX2nAITG9iwv=w%ke`_O8bTgYJFXj zEZE%bmG|Rp(>eMJzsKPZ)!^4~cLpRp{fI`a&V#1eYRTe+t(*LOG}?7liEvTtxACom*G9)MgujX^D@ycT>4 z|Hzasah2VurA+70?*mKWFA8!8^^5?mXUOyO;Pvo6hMI9kzeFGkt zJV^)%@$N!%0q;;g|4U~8Z*uR##Bs)Ue%lBb65dw?=QLLTCn%Ndj>-RtPzc*AP*d>s z7;{lUL8OkICAg7YBU@yRIOLnW`H*PMDdt9ly5T&Px*^=%jlUz~+gtncMgpZX@?8S+ zg#^~`GHb-gP!EZA;8w zUBA#L5`Rv}n|#{&>)fBJEBbIl^&k@Hfv8l(Q zE^xq(SjZa~wXLjPN08A0@@x@Qeu&-nQ0FtL$k)ue%hPB2Nd{>$S3gc-sO=&P(0A1y zvU2R>@_H9IhEjL(Wt75pb^pk3DREVHbDaFWAVWLVL3-AaJP4af@atLY@TL5UKJ%0k zMhL!mwe!>1`)kgY=2&27aUXv)aShx=#F2?m=Jb^@cT?T2Fe3-2-%Buyt56J%$NQTL zkGpqm-9M;A&k*S@d~RND>+JrFm9@)A^JQ3DYFR?LU(;-?c=&+u4)3asaA-ySpjS0! zn@aD0%VcPzbYWqxiiSkQk+hG8>fQIfBkNUzP%65f9tUV$T@ZHtl@ZF$@(S^%aN1iZ zHvRuit^q@c0fzr)iXy*Q>`=;>zX7kj7O2cTjlR&-?p4G`j-N0OL!U#C=LX4L@*%>C zGcSaH4pCRV;*}b8)QD-GqtfMM&Y0>>A^TrI^F=d{2^J{CPU3kt{Yn#YFTePhe#nCa zsRKOeV@I$C)_L>#_Kfh5N6}X0=U=cFYTivM6<%at=c--XfHyPVA$=AH0l()SUXx(4 zZ#dlMH(MxmjT~mg)n3<_=kYk68cEHBS!$l*1teo9ke0m-AMyt=IAk(By96+>AVv~w z3;Mf2wkpeDTaGjA9v{bT-p4_!@Qqt)!Ek@WdfFMpD3&JVIjg=A7J^rhkOnVc?lwRd zBb@E@t<^x9yLF_E{&HBUN)0NHzVCnB2~>T#yb<*5>QW1}IK;{xw)lIZJu#7~J5*q@ zut-|VP&NS{#Hl6{)9GY;?FJ=OwDD9)6ynZX1G|sJ&OkQ&hJs5RE=WGkoHI6xw0cvg z{5Z*+P275NvL--X_HT+;0uz{JipYE!Ul)>p<)aCwe#5TKF19&(9<1YM9&U%aCA>2b z-jqf-r#+z8-j{tPgiy~Ja0gSNbjgJP#qf!zJlQ7gL=p*EGIvYUrl6V5V|Pm@JD#tc z&JEH_!)87)3y`-A`TZ`1!ZbKCHk-d-x1PuO&6Wwc!#Z*dvwRK|1|3>>!^P}GUc3gz za1H<--8AVCOg z4gLj*APn6m(Rc;9T$m5wG17cfp(M8qKl~KOf?tksas6E13f5r_yUo;UXVCc!Q_zJ-x^pKeKNIf8NJn!29H1QW=9YRa z8v0}Q)0~DbL?$z0{{o=2jZ&EpP$He$j7xb3P#M?CzeucsBaoi(l#5a zQqk?XkW^2sHLqC!^d^EA^y`7X`pydK+s$SJz3HFSpae1glGi*yTuf4@tNrkeQL2Ys z-T!$Q;lu_&LiZzpS1Rzo-xbi5w%>XnmveJi+#sC%B_>5G$0h$0k@6A)oon3pYPUk< zWId&|?>&c-#QmFT(d&>YRB#Yto|Z2x zT{mLN1fd6Z`rirF1gfTgT zjLux8iYYY03UN_*H9%5IbUOA`LFW=2S8eQpe}_@y3I_sZ5wmQ-ai%oOo0WF)kgbMW zp^RQsjMW|egj}kv1Rh> UhEz%N}>_E|XlzWdV^>r?={Ij<}n%!G{=(P6kF9#ALG zeH}hEQ!lLDnthY=TgyZ>=HQ&^)Q^*C4=2*rp+l92&`gKJboi1tDAg;EbH8#0kG}gD3n!*meM=?5zR8Agf%|;6NB}XRvEL6p(hR&ox<^lMD!$xYz*WGe`FkRZ#TY2KRQr{oSf)?$8#jeM?g^2gJtkmjg7O3VVO%Oj~FD>m8XJOM6&|rBMPe&tM zT)Om(%TkT>uzfkej@i8m60QSD934j^{Odi7&zgp022$<`*={Ty##UIR{ zxQ`y1Z;l-pwO6YplJj&|HMma*zv@B30G@~w|c4=CX0xXzcDdXVlx+~qd35yzq9 zZRbFI@92y!_d$KB?#ppGVHX%OAlkkuQ>B0no7%wnBcHA6U0+I;zCGv56MYwxSZ@j+ zi1drDsmq&z;;$?-S&1IIOY*8neJ11k!4GN$3X2Oiq1GaLRCN?v{iFSP^Ip}Vd5U94 zQj%6)z=8u){N_cJ7JiHIB+|yzbbB>q>X}APQ48Jvjpy4u<%BLhqBf>!P9{o*q>AC9Yb|;y*Td~-|u7RSV+?7>%h-*2@-O*=x(v%UFwbv9`b7;s-ai}l6@~oYOIPQfFw2F(>XVKX z-W(A%mSoKX1<=Td0M0!k%cv=yLSLn9-S*=CQ`gqV7-2okdr$fL@!KS8I0aJ^$XRgN zvYm?6ivw06_Np=C5dxnR@BJ3-I^feX99WoL-{Z0^pESi8A0Np#xPfFFY*UUF` ziv2B!*)5u@i7{)FGCCVQu_P#fb_Xp>!t+XvM!(Mfo=6H=bPi6QKjiw5`uPT#ev)@c zjpz$`Su51r{<^Q~(g#pQF*v2!*W@X?y7%f4`qZ=63}PdaVdMQuv{vAd80L57DLh^H zUq9JEJkezW4r2B=$9}b$0f!Ea`fg@?pdqU9clxT^+3dP|%dQF~S?Dfr_ib$bgq!)e zxU*C9b{@w?EeO-OzMrwP&`!=`apHVr2tA)&vLa8h!gJ(=ZS5busVCv=pG^L#Ll2b1 z{eGi(u#>41kqp&;yS3l?54m#*wgJd-BOmN9aYI)L1N+n6Ah_#wILKT3ti92pun5cx{maLKeNH#XLQg9FeTK+-I4Fbp#|-hTS=FTdp1VZq zsg?*O6f@_(Ag1dvY81b*@W}If@-}O61!7Z({OC_JF6DaV%c7I0!RCRs4eu7F^Wu}E z(H>H5BOEVO;!u`!ra2w@RtZ)8G_1>KE`8OPf%3JO8kPYG>6OJMrjyLMM=*5{t@BEyCdc*(gr<>3PD)k+)^?@=0) zhuzKoM}-p21h2^3?RZP1V}elYUDjSRu0BlI|EuIH!{TVRZgF=A5(amN;7$k<+}+*X z1`QAx2!z2Q!7aE2NU*^jf&@YcKDY&#ArPG0A@4coJ3sDopZopj>F(*O>aMQtUAxy> zd%q`N^boM>l4;nxI{VZMH(Ng|BiNb4!uGLd z5dx$LG;qVa-D9R0^K*|^HE_e+w-Kb&30hUz2bG7-Um(R?L8I?;+q$ zQZjBRd;XPj2c^)9tD)(T`{`$vanukje5-4I6j}na(|w`tykzGeQ%E&7l4ynltVk6g zkA|UWn^41P?B-60i5CwD%?%;rw_+Kk^lT(?wOTGpA1U$|ibFMX@adif@UsZ~$V*|0 z;u!t6#7M9VanFheS<&}WB@{-0?F)rE{5>G%&D)CuUoZ1T{k4H&>0PyNC^q^qV?w%k zgqCcAGy7SCFI(i&tgCHd_7!`(09J7)oFOd_wdr#6 z%WpArTKcYz$@fVn4hON)dJ-D*;KhEHw%B1zZyWn+62@THk;QE`JY#zUa+Qo+KMl!? z^uBw9mczY^X#7r*f_u&YO`iv&(Fvn}3)KU-B-a8X?J}MeFjbbpISjIxD8p#YljK(< z>CD+qKTHu4Gc#Zd5AYkYh>1)R!|?&>F#sw)3+FzPmt~i6WhbR6HjW5{lYWvR<_#B5 zw)`qh@*%^~+{skJo>Hd($!b2Pt29<#ZYj>YcImj@!`}#ybD0V0a)lOoja(PyJ@pKN z;J%D{MBBcHUmaw=Dr$P^_81UD%VbV}g9wH(S;rZ1V72sL!|g|d(T2Z@;$w+fj)cSX zotmKx(%B0>#y2GH90D?GjVzNeY*dz=!MS3Qj+oc$XMNLK;m{pd2Yge%EaZFiql=U+ zS0(3KlFB|3!`$7X7*mYl1>8knL(0>&x09aYjYeuQo@oOi{zsUGgcC>s8` zbxUe;wf)d9MBktGu#Y(5<8u>dajEDNO58!&(MU_ZuEyhtJuOg>zsyGLI)pLb2jTq4 z3Rmv^{Bx`K{lhZCJVZ(%%tI65#%BdZzdS9rNGtM^yKkz24Z7YC`un{GMcL`}O*AZ(^Er$1Pmp z`H}cSKW#|)KlehajNP7*vEJghXi0vHNAsUQtMaK-Io z7Z%>f50dqjQOc}P)>;h>aw%c==T!DKsQ@!`GvlYpsZ_d~kwq4pt0_O+pFI_=8khS~ z*hm>5ugs%DD}>(D1x*trB6#8JY61r-lKr}JmSdY)| zXz34jLp4t%_e$6sEi!5;!+#rvvC;J;3-e3IK&VlzLw;ieK3?tTv{kUm7V^=Hx0|A0 z#7otH&xop04k?x@QtDX5cbe48c=|>Rnn-SNGpjG)*-71%?cS3|7SQ9<7*ZTuHh<3B ztLT0d+req_VH~MiX5+(a=&u=1exxzHrUe413qBR{ox6Eu1^3OOu1mCArr>bMRE0&& zlWCe51YTc9TiLX`$r#|ZZTJoiAvys~8)|TqN-#yUlIYJ@gcH9l2EYLk3jCG7>TB_1m);#*Sgv^p_d9)F2@yD!}#DjKzcOWHoYj{`K=Qi@!*B%djuhA^F`^FIA$^Mcw+i-$d+3-q@*;1)Xt4B}1^@ zP90&vKvYb&0r3Pe%uZ}lIhJJi`yu6`YpTsxVn72rd%G{;oB3sBNO0NC1GY@aTl>+& zH7tXYz&e9-%2S18+xa>JVUicezty!2lOf^-0E_IVw#_~@r}#3OTFu%Ac2toTW9f8KzDBR%@?7oG*2&| zTbe9h>HGT}a5eyS1T*>8Fsq_s8 zdR{OX>C7u{r*r^|2UDp-rC$#7otaLx!8w24`w7knp%PfB=P+j!X=0S2aUEsx$An5& zbQE=OJl*MuUbd5QHxFjat0VgC_d$}~l386l_=C&bz|};9Y*J1xd|!}J7$p~_yhTC2 ztvG+)yA391en)~e8EbLajRC-bD2eEYg87zA;$)2(C%xsj%7xB8zY~X;2(w6)FQ< zm@=xr_D#@fU<+3(u~e&EB9*#j%{qJj?P#?gz$i?o+(ll~^d_WBZ_$ORBBm?lo$fa` z{tLbbZ@!14xoj`Q$4y)K#qj}res1+>q_v^D`~G3$!D{C;`PA|u@Xz^^S78?$!ViBI z7PP#q5b3SXcel3I5jm$ey^7!uT`xWOC07|^Cus#68yEZHZJN~(2~VWlf3pTti-g+1 zOX4Qi8rq0NLPs0v(r#qY!UAcM?PhSCRp$Qi&(TQp85SS1(yQ7uGnnAycI8>Z8W$0e zOD<1Yq7w7F*N6ts55)0vd4w`di3t9xeq2S}KP#-iO{Ns-EW@>F7O=p{wU~`X6dXmI zxr0cAT3PkK{&}4`;Aq!D_CIB5-U9yFc|3x9P!gMUHjS1Ink45pm@>BHaQ|Ju@&|ph zi%!H0#eLfh@1M4H|0i98W_S!fD0Xtqcn@)Lo^0-cFk0Emd=ybyLWb`aXkoa0nbTgw zSD&xQQEG)s19Kb8Qu3r^L_6@SBtjH;I9*2h7XZmZYZH8*P8R0i<%Wiir-2eh@ENl> zkmZj!vqI^NY_qdV7IE8324}SA%6Qx{Hj=ITXG)#6&SA#{131JjN=d}esYu#}oql*X zfHsR$u@_{>2=9sedn-0Qu&7$isc5$p;s#-DM)3@Z&K*Wjd-3lM&|9-OBWA{*}Mepgn>6E zlr!9c0)yGH1=c{R#uo6Wi68NvIBwbSD}LbNjtn=+GII}(7}m?-wkq5g1eJPB>loA% zN1jm8E!GvDcj^%0x-n0$=WL*I3eZ|&V-5uJo6^}gv9yI1p}nEcXq*)QWn498RrcQN z{#Qx~q>EETN(rsu&Wo5-pM#3$kRefF!u=?cbWjV`Zfbv9zi@kr;7cceM3B1DGcZ}w zS0C>enI(GtL3|t%cI&V28TQ|5eP-4AdX;C75R?5SL1>KYbo*aKr>?T9VV-;x1c=*7JzuI`)x{B9&J+@Z zQi}Lb=fXe(EJ5+a0%{ zD6MSy;vG>QqkHDhy5G;^1!6KB561c>P%daStn$&9;;58b(Lxxn4te>*n!Ya&!k}0E zX~^^FW09B#9fK@I;zij4^(52Cu6z}M7{FriR$M<~Tz}G4iA1%~svBEEo?z?5E?#!G z&P=Opkt!H>e^0B>j?Ob~RQ&j;E0Noqh6?h_jw_#wO(87@)G}FLh#|O?tsiazJzviu z1zScsI8wGyujT6&-pTqHF|U{$rpyVtguPyh+D|%&&q__bYt=Wqk)GNj$_&buw2MXJ zZ)ZieHj{S|>b90awo>tDWH!Nda?v&nKT)TVxsKg27*52!*X(|3=Ai0_@G4gT03wkVe7aeVU3(FH+FvaORld*n)*Dh~T=fTK z0Hqm5cP%hP1bLqPo0jn$Qt_iiZn$PnHkAK->MIay_LGy?9LdXX>CR!=jkobk z^=O_MH=grVc#zyy_(RNTKvcrltGg^~RYA+_fn3av$J^g)oY0{Vd9R~Xq9KC{@gznk zjGSl1?XA*S^JucpC|n4NHkjH;%5qm$`lKgdnACTbhxm3dh9sKx56l1rHoJ+YqlnMa zo^YyRQwH>JwnFWX{^*9)5x3=E(G+NxrZCB<4lh9kRD~sGgfQ3SxtGAZkx%#vJs7i?qRi}srjZF0 zeC;G%30^N)`)!KD%HxtDJ8eU{ns$hZJ=vFbz*oWHiA?yYFZ9Bg4%kXfBySXLKMTN? zk~ofiW{q)G32c4s1S)oj^_-Sq-NKN+w=5?T_?-f0g1c&VxO@;m@Y3|RQqLN%d3FDT zhScLDVtg~Kulgu&o=T?NTElgbS(l5HqFR4lj;En>9wTX^1$$w^$^sy-N6l-|v9DaS(A>B6{z zx=NQmP+)YoyK+ZcX`DGJJ(K?riLwfZUdnyK8SA+k*wW&A=xWPhIBijd42#=C7sQ&w zk_6}6@&K1|>0`oE>J2_8hUOi^i-G|2)Vpbd7pb{}t{cp14{#qJp2F}$i6aQ4w zs`uF)6V@!?U5*U%PZIoPW_tIO&5KZSQEK1)$5;j$!-pP zmW(#V#umh4{T(-z@p^{EP4`~AgD?| zCy(=G$=r8&uZLcy#86;7U|uxtIJlL!tkp9?($uCLwSuFvq6~cUzH#vtA2_pyd2>4m zkClBwaZ54gO)4gn&vO*qadQ}Gq6+&ycB|qCXYtbZsT~l&dozSYojz+m>^00YVaRKA zSp0%xy^cruVy~ipl+(Z^jU3R?gG*_epM!@`)bxqt2lTsltBnOh3^s4a7u%vd&w8_h zRPZpYrgIFQ1-rp`c_y=L!9WHrUi?`YB{U+On!yLh3 zlj&V{Rp2l*&v%(y3|AaRW!`Kjb>aTx`IGNP+m{A5Fkt-ROaS~z z2`=SsXjn(L^Cx3ZAhG{oZpxIdzi;(9|MLoKek3GCC%n68iosTA{PbyMIu3vpp#gus zIBf<7I}jB2Aj&!oD9aFyp2)}KWF>_w!6EP=2Y}Of)_E3#q;8w@eM8C&f^s2ZqN@63cSVgOxAJ+{^-ySdeWPO%4GLZ>eWdSRO)&E&&?Rqns(l zqw7-wQd836>0(RB!>h>LsAL@URRM)?mw+KSmE*gQ;4J|lpUhzQklhMST)JryJE#5ftK~4w6FW=rx?;$oWD!)#7_H85k zaQU;EXT2jBUpo9Zx2tt-SFzr5JcTJ8f|V}tcwF@{YQ~OpGd+B7#T*{*^x2yhoeYW8bU}uKk!PCsvtMc8dr9>TB=}kg|VBF@> zx8f^_Aogxe+Jrb0l3ox-6p{R5K}DXmDT_ZVkRVRdH6dA4rUgaK38B4Q;k=M1s7(Kz zv)9|e|GbuF!p8c76p|_>0^9umv8>Srb>rIfZpx^GLp{$7oKP}|VVGvFRjLr#ixzcje!QsAw(QPD@3Opf57Dy(i*K5S?d`8`9kE;}36QhrC^Edp7$&ykQu4h>iK1IZ#R_ifkq==fS32Qq{Cp-hf*!gI7bY z$=`*M<9b#>g@RWD>!1W3Y31PqHWI)phv=#5yzIY-_)r)5M(xb^ARgfZQUNy1-#n0Q z=t{vsRXZ#Jlgl<7dJ!{3b}rh$77?9;KjKu`qk-oIvzy+R8lrX(u6;&2aD+w9<#o!f zFf@(Ge#D5tH7&A{jDsd^|G;Q>QL$!DiY>n3@f^SRG1jOzb7XGMw{93)usxfKpvr1H zu_N}b5oJ*8bTIC_n5pj{ejz#a;W!hU$5KY07%S62p@Ma;o;?|U;&kC$aPDyDTrT%xqK9@k-l$Hc?hqyjhU&(?W ztgU|W!q=wiYw7v4+0lQEY(_rqeM$fD7WUMK2?8%Tr(~YCNnO*6j*@YL=SGVR`<#+! z`P|*3+w2_>wrRICI4eOxVeOca@7Vw&Z}?I7IPMj5QAKtQI!ckMsVwQV2-{UNmrGW$ zqKaK(jyX#bvr%gGV>b)R7Fp5IRt_~rOUf2MS6JC>Wy$Q#vLv+vGlevbO*V#j?-J7d z(Shwd>Io$_D=)r~S=e?QsDI^;mcW=xLxdN^DI(=K3t`LkER-7riWQAd5v`%EE{dYWmd?n*f6e@3d8>) z9ef7h9VZ=`Kc~HQ$z8LPs{8BJOIJNk0{=p=s-Q(#9cV0M{ zF?@FW4K&@CsxYqf%HBG_mTAE0iEbcx18(O4=~0K9w#R^9v6)X|5hfDhZ@jA}D}Ih4 zU_MSlWPlQv?iuz)u|2#(+PjTC3Scysihe$jdNf1>+#KwNQx=6@ECdKCFTR`|@c!F($^dLPU;E;%E{h!txfasv)l$X?tcPFFxIIIJ z_q{5zDxLa=^hbf@Ph!n&hw3oe=2wieC$Upn+aJyX!S*6-XOGTz)t84ikoX_&<`ZmZ zBsL-T^aZ0@H(7b3YV3jT^m(JF$zwLtToHH@vZ)j`P2#ERRXbReUwJ(TTCQzkX&T%ll#*7=$E<5ooL=IooWX>aeP`$A-yPB0s|72$Tz zJ-Xd02)8?7XzZUl>7>D;;;DNFP3YdrY-eD)HaKbUns)gE)pkYTAJdw9(%`>dx5Ao+ z=Jx9L|8j-!xh?QtSrwgLK9(Jl^ML{_pB^^b8Sp(0C06%63W$ul}1lanUM@74fSgUJ((FKLSYAB zX=4e*-2IqHv}DW9TMX_Tj&}n7^}FATG9~Mm4`sbfBm5b`t_Lme3v)!2Tw(mj5d6LL z*8y+F-b4jECvEQBAd!Ck=p%~E;{3A5^}yQY?H2Gzz;$<5SCK@f15;FV;M`)ILgu@d zBvEMn$Hx6XF0dD}_wpy5j<&BbALn5|&kry^-OC){nsSi0ix-Id0SJ(cTC zqwl_A%A|=me_Ft|8bvACNE6R}Dret;$^fNxJ`2QToTG`qPr#KVdI7qhzkh{w^;3ej z^B0P#?wsrwe`S?KgUSS!2}vT8wW!f_ns}+jD56V#}A(j zJ0*!o!UbhE2^0!`%59JRFIR}!JUH_ae?5`IddKNh5lA1n^T0=RdXMNf;_J-^lTj;> zzN|YW?{}t{<|aW*h9-X4+G^Af5c7UY{=#geD02C zX`L0aQ9t^WC=HccrOVbC4_?8o=tSf}>6`!>fB%k5ao{O?Xjo!a`9O>CV(7S%nKu3l zAqY5bQ3%xM1`Jbv)-2+Z?Hm0;MD6lQ24tHQ`yqti4mb#!Hrbd1kkP?3aH*+i=^$W# zI`lccgq)L7Xs6}y3&qwxG(G5%T@vA*aqF|~$cvnphYJdtVg4zMFVwOX#A;d9=xE9| zKAdlqq832>o-+@vCKI4F`Ah%Z5X%k}S8#^=iYn0S8*Z1r<`TcQp<;fpL6WI`dW3<6 z`3+7(D=PEAZ=C|_B1HY$7)IHK&hf?oQUOG?+vRcqDT*8HwRF!P>36U-VFm&7vDMZd zej0^Kbf?@k;*s=#3wuTVLV{Zqk!rVc=UEoum@Yp$!P7RvCLQ3yo7U^CfUw7wf-fby z<;X`wPc29G%x|vF$Q!mMu(@h(1|<#>c5su`zgiFB%K)V;8!6K0vKXH5{-~(6hJU&O zAX4?(gnhibioU0p>ZJIIZmvPW_hT39Y_z70s=!tmAr=sXJRJ2yqJjpA>VZ*S9K16UXj~>I|aZ*?+tPv~K zn`J%9Z*TUH5;y+yMt3La;APt@+BG+zLk+ zX>jPYcVq6qjP&OQG1G53_MBviRH}|L`8#L=yzA@(uJH3Dp+KU(&I(%DvLCV7 zuNiT%db7oR+J<}ZrGI3V=JKlq-OskYhj89?AFJ%t@Db_L<2I+@5$OrZ6JXlY=eX=y zdHkLVqZ!!T4=+SOC7)(F#V4VrCZw}4-I;mjF1Sij1n8wmk`^eo3XVspI<3?|Wr>;Z z(S+v}xyjhTX6fXw>Lb;nO8q?>h-E#}TFSX*sy)Tq^n3Okbosr^UF?-}MgXL%v2nNo zig*O}eOQ})T|y*dV@b}ueSLWs2TyJ415}b!s z&n4c#{KS97njoF9xH)DllwW09t)MU(LXs|kG)kYls+Soj+UdjYxAA7 zY=2*NN{h)z#@sD_WgDr}YHMX@;~enub}ZgyC%P~qLV z#ptlky`3Cr{<}jLZg4UMPSnpl22Vhm=9DzCLm%FG4-x16qUfx;(kE=^89?w@2g1!uf)W( z;@+6w*WfermK0v18SIn>$|B%|8@Ooct}}Um!)1&-R}R|Np!4 z9qu-WdTP-Vzs*?@>);{jY{Z#fH38{~usv{YB5obbea?#h*mtTCmkgglD z%#4}jbRFsJ1n03sE{q0CH2M?bu%tAQs7X}s+Mw>6YW7&zkEY^h2=;b|pZW_yl#6Jb zbFY3MY8UXl^2WiQ_Jd6yNd#9%dk0F8hP8u1aY|7KYAtleA(F0*R58gaH9que=ecI; zaf>+zqOB}6t!XGnT6YCxjyw$&)0~5YWrS}b1OtLle7Z2rHADbq_e(=gQ&4hIMCloT zE zDgG0-XooLl%Mrho9Q-xdKz+!zE#TcN_mw`0;{7I{)~Eibm0?`8yD?x6UGWy{Q8~=U zh|lzYI0=Hr=*V9WiR^Mm@bt*MWSzMkUUAThyqCJ#Sh_&i==!;b;T6Oy(h5x%+12b; z&LUiAny6S~N*`Y~$?_20jWCs+&s^*q&WrgW){veg9>s4VGD_{|yFQ!Lz8Gq6`+L%J z`s?t@`^!;+=W|)^qPxG>nMfa_0K|{`4cN5<_#S3%hF*o=oE>u^1Y6x5w|DU4nh`Ip zpi4SS>8|TP*{OwvrG>f1X~l&)1PZJ-A@sU@A6uf;zJ7`4qVH*A77*oNn@^Y!?-6Pk k93LE9NmKheipO25ooAk5qOFSv{6a_4)3ppGRYXDhKXxKa1poj5 literal 0 HcmV?d00001 diff --git a/hw/hw4/hw4.tex b/hw/hw4/hw4.tex new file mode 100644 index 0000000..e88a9fd --- /dev/null +++ b/hw/hw4/hw4.tex @@ -0,0 +1,299 @@ +\documentclass{article} + +\usepackage{fancyhdr} +\usepackage{extramarks} +\usepackage{amsmath} +\usepackage{amsthm} +\usepackage{amsfonts} +\usepackage{tikz} +\usepackage[plain]{algorithm} +\usepackage{algpseudocode} +\usepackage[shortlabels]{enumitem} +\usepackage{mathtools} +\usepackage{amssymb} + +\usetikzlibrary{automata,positioning} + +% +% Basic Document Settings +% + +\topmargin=-0.45in +\evensidemargin=0in +\oddsidemargin=0in +\textwidth=6.5in +\textheight=9.0in +\headsep=0.25in + +\linespread{1.1} + +\pagestyle{fancy} +\lhead{\hmwkAuthorName} +\chead{\hmwkClass\ (\hmwkClassInstructor\ \hmwkClassTime): \hmwkTitle} +\lfoot{\lastxmark} +\cfoot{\thepage} + +\renewcommand\headrulewidth{0.4pt} +\renewcommand\footrulewidth{0.4pt} + +\setlength\parindent{0pt} + +% +% Create Problem Sections +% + +\newcommand{\enterProblemHeader}[1]{ + \nobreak\extramarks{}{Problem \arabic{#1} continued on next page\ldots}\nobreak{} + \nobreak\extramarks{Problem \arabic{#1} (continued)}{Problem \arabic{#1} continued on next page\ldots}\nobreak{} +} + +\newcommand{\exitProblemHeader}[1]{ + \nobreak\extramarks{Problem \arabic{#1} (continued)}{Problem \arabic{#1} continued on next page\ldots}\nobreak{} + \stepcounter{#1} + \nobreak\extramarks{Problem \arabic{#1}}{}\nobreak{} +} + +\setcounter{secnumdepth}{0} +\newcounter{partCounter} +\newcounter{homeworkProblemCounter} +\setcounter{homeworkProblemCounter}{1} +\nobreak\extramarks{Problem \arabic{homeworkProblemCounter}}{}\nobreak{} + +% +% Homework Problem Environment +% +% This environment takes an optional argument. When given, it will adjust the +% problem counter. This is useful for when the problems given for your +% assignment aren't sequential. See the last 3 problems of this template for an +% example. +% +\newenvironment{homeworkProblem}[1][-1]{ + \ifnum#1>0 + \setcounter{homeworkProblemCounter}{#1} + \fi + \section{Problem \arabic{homeworkProblemCounter}} + \setcounter{partCounter}{1} + \enterProblemHeader{homeworkProblemCounter} +}{ + \exitProblemHeader{homeworkProblemCounter} +} + +\newcommand{\hmwkTitle}{Homework 4} +\newcommand{\hmwkDueDate}{October 5, 2023} +\newcommand{\hmwkClass}{Discrete Math} +\newcommand{\hmwkClassTime}{Section 003} +\newcommand{\hmwkClassInstructor}{Reese Lance} +\newcommand{\hmwkAuthorName}{\textbf{Rushil Umaretiya}} + +% +% Title Page +% + +\title{ + \vspace{2in} + \textmd{\textbf{\hmwkClass:\ \hmwkTitle}}\\ + \normalsize\vspace{0.1in}\small{Tuesday/Thursday 11:00-12:15, Phillips 383}\\ + \vspace{0.1in}\large{\textit{\hmwkClassInstructor\ - \hmwkClassTime}} + \vspace{3in} +} + +\author{\hmwkAuthorName\\\small{rumareti@unc.edu}} +\date{} + +\renewcommand{\part}[1]{\textbf{\large Part \Alph{partCounter}}\stepcounter{partCounter}\\} + +% +% Various Helper Commands +% + +% Useful for algorithms +\newcommand{\alg}[1]{\textsc{\bfseries \footnotesize #1}} + +% For derivatives +\newcommand{\deriv}[1]{\frac{\mathrm{d}}{\mathrm{d}x} (#1)} + +% For partial derivatives +\newcommand{\pderiv}[2]{\frac{\partial}{\partial #1} (#2)} + +% Integral dx +\newcommand{\dx}{\mathrm{d}x} + +% Alias for the Solution section header +\newcommand{\solution}{\textbf{\large Solution}} + +\newcommand{\unit}[1]{\section{Unit #1}} +\newcommand{\problem}[1]{\textbf{\##1}} +\newcommand{\prob}[1]{\problem{#1}} + + +% Probability commands: Expectation, Variance, Covariance, Bias +\newcommand{\E}{\mathrm{E}} +\newcommand{\Var}{\mathrm{Var}} +\newcommand{\Cov}{\mathrm{Cov}} +\newcommand{\Bias}{\mathrm{Bias}} + +\renewcommand{\And}{\wedge} +\newcommand{\Or}{\vee} +\newcommand{\Xor}{\oplus} +\newcommand{\Not}{\neg} +\newcommand{\Implies}{\rightarrow} +\newcommand{\Iff}{\leftrightarrow} + +\newcommand{\AllIntegers}{\mathbb{Z}} +\newcommand{\AllRationals}{\mathbb{Q}} +\newcommand{\AllReals}{\mathbb{R}} +\newcommand{\AllComplexes}{\mathbb{C}} + +\begin{document} + +\maketitle + +\pagebreak + +\unit{5.1} +\prob{10} +\begin{enumerate}[a)] + \item Find a formula for + \begin{align*} + \frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\ldots+\frac{1}{n(n+1)} + \end{align*} + by examining the values of this expression for small values of \(n\).\\ + +Given the following equation, +\begin{align*} + P(n) &= \sum_{i=1}^{n}\frac{1}{n(n+1)}\\ +\end{align*} +We can find the following values for \(P(x)\) and generalize a formula for \(P(n)\). +\begin{align*} + P(1) &&= \frac{1}{2}\\ + P(2) &= \frac{1}{2}+\frac{1}{6}&=\frac{2}{3}\\ + P(3) &= \frac{1}{2}+\frac{1}{6}+\frac{1}{12}&=\frac{3}{4}\\ + P(4) &= \frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}&=\frac{4}{5}\\ + P(n) &&= \frac{n}{n+1} +\end{align*} + \item Prove the formula you conjectured in part (a). +\begin{proof} + We will prove the formula by induction.\\ + \textbf{Base Case:} \(n=1\) + \begin{align*} + P(1) = \frac{1}{1+1} = \frac{1}{2} + \end{align*} + \textbf{Inductive step:} + Given P(n), we will prove P(n+1). + \begin{align*} + P(n+1) &= \sum_{i=1}^{n+1}\frac{1}{n(n+1)}\\ + &= \sum_{i=1}^{n}\frac{1}{n(n+1)}+\frac{1}{(n+1)(n+2)}\\ + &= \frac{n}{n+1}+\frac{1}{(n+1)(n+2)}\\ + &= \frac{n(n+2)+1}{(n+1)(n+2)}\\ + &= \frac{(n+1)^2}{(n+1)(n+2)}\\ + &= \frac{n+1}{n+2} + \end{align*} +\end{proof} +\end{enumerate} +\pagebreak +\prob{34} +Prove that 6 divides \(n^3 - n\) whenever \(n\) is a nonnegative integer.\\ +\begin{proof} + Given \(P(n) = \exists k \in \AllIntegers, n^3-n = 6k\), we will show that \(\forall n \in \AllIntegers^+(P(n))\) by induction.\\ + \textbf{Base Case:} \(n=0\) + \begin{align*} + 0^3 - 0 = 6(0) + \end{align*} + \textbf{Inductive step:} + Given P(n), we will prove P(n+1). + \begin{align*}(n+1) + (n+1)^3-(n+1) &= n^3+3n^2+3n+1-(n+1)\\ + &= n^3+3n^2+2n\\ + &= n^3-n+(3n^2+3n)\\ + &= (n^3 - n) + 3(n)(n+1) + \end{align*} + Since we are assuming \(P(n)\), we can affirm that \(n^3-n\) is true. Now we can show that 6 also divides the second term, + \begin{align*} + \exists k \in \AllIntegers, 3(n)(n+1) &= 6k\\ + n(n+1) &= 2k + \end{align*} + Since any odd and even integer multiplied together is even, we can affirm that 6 divides \(3(n)(n+1)\). Since we know that, + \begin{align*} + \forall a,b,n \in \AllIntegers,\\n|a, n|b \implies n|(a+b). + \end{align*} + 6 must divide \((n^3 - n) + 3(n)(n+1)\). Thus \(P(n+1)\) is true. +\end{proof} + +\pagebreak +\prob{64} +Use mathematical induction to prove that if \(p\) is a prime and \(p | a_1a_2 \cdots a_n\), where \(a_i\) is an integer for \(i = 1, 2, 3, \dots , n\), then \(p | a_i\) for some integer \(i\). +\begin{align*} + P(n) = \forall a_1, a_2, \dots, a_n \in \AllIntegers, p | a_1a_2 \cdots a_n \implies p | a_i \text{ for some } i \in \AllIntegers .\\ +\end{align*} +\textbf{Base Case:} \(n=1\) +\begin{align*} + p | a_1 \implies p | a_1 +\end{align*} +\textbf{Inductive Step:} Given P(n), we will prove P(n+1). +\begin{align*} + P(n+1) &= p|a_1a_2\cdots a_na_{n+1} \implies p|a_i \text{ for some } i \in \AllIntegers .\\ +\end{align*} +Since we know that \(p\) is prime, +\begin{align*} + p|a_1a_2\cdots a_na_{n+1} &\implies p|a_1a_2\cdots a_n \text{ or } p|a_{n+1}\\ + &\implies P(n) \text{ or } p|a_{n+1}\\ + &\implies p|a_i \text{ for some } i \in \AllIntegers \text{ or } p|a_{n+1}\\ + &\implies P(n+1) +\end{align*} +We have shown that \(P(n) \implies P(n+1)\), thus \(P(n+1)\) is true. +\pagebreak +\unit{2.1} +\prob{2} Use set builder notation to give a description of each of these sets. +\begin{enumerate}[a)] + \item \{{0, 3, 6, 9, 12}\}\\ + \begin{align*} + A = \{x \in \AllIntegers^+ | x = 3n, 0 \leq n \leq 4\} + \end{align*} + \item \{{-3,-2,-1, 0, 1, 2, 3}\} + \begin{align*} + B = \{x \in \AllIntegers | -3 \leq x \leq 3\} + \end{align*} + \item \(\{m,n,o,p\}\) + \begin{align*} + C = \{x | x \text{ is a lowercase letter in the alphabet from m to p}\} + \end{align*} +\end{enumerate} +\pagebreak +\prob{6} For each of these pairs of sets, determine whether the first is a subset of the second, the second is a subset of the first, or neither is a subset of the other. +\begin{enumerate}[a)] + \item the set of people who speak English, the set of people who speak English with an Australian accent + \item the set of fruits, the set of citrus fruits + \item the set of students studying discrete mathematics, the set of students studying data structures +\end{enumerate} +\pagebreak +\prob{12} Determine whether these statements are true or false. +\begin{enumerate}[a)] + \item \(\emptyset \in \{\emptyset\}\) + \item \(\emptyset \in \{\emptyset, \{\emptyset\}\}\) + \item \(\{\emptyset\} \in \{\emptyset\}\) + \item \(\{\emptyset\} \in \{\{\emptyset\}\}\) + \item \(\{\emptyset\} \subset \{\emptyset, \{\emptyset\}\}\) + \item \(\{\{\emptyset\}\} \subset \{\emptyset, \{\emptyset\}\}\) + \item \(\{\{\emptyset\}\} \subset \{\{\emptyset\}, \{\emptyset\}\}\) +\end{enumerate} +\pagebreak +\prob{18} +Use a Venn diagram to illustrate the relationships \(A \subset B\) and \(A \subset C\). + +\pagebreak +\prob{22} +What is the cardinality of each of these sets? +\begin{enumerate}[a)] + \item \(\emptyset\) + \item \(\{\emptyset\}\) + \item \(\{\emptyset, \{\emptyset\}\}\) + \item \(\{\emptyset, \{\emptyset\}, \{\emptyset, \{\emptyset\}\}\}\) +\end{enumerate} + +\pagebreak +\prob{32} Suppose that \(A \times B = \emptyset\), where \(A \text{ and } B\) are sets. What can you conclude? + +\pagebreak +\prob{44} Prove or disprove that if \(A, B, \text{and } C\) are nonempty sets and \(A \times B = A \times C\text{, then } B = C\). + +\end{document} \ No newline at end of file