From b7b4bb7c9afa467fd4c9ec32ea71f016a62c8136 Mon Sep 17 00:00:00 2001 From: Nicholas Miller Date: Wed, 18 Feb 2015 15:16:11 -0500 Subject: [PATCH] Nicholas Miller's ising model code, results, and report. --- mill1825/python/grid.py | 99 ++++ mill1825/python/gui.py | 90 +++ mill1825/python/ising.py | 47 ++ mill1825/report/ising.aux | 16 + mill1825/report/ising.log | 378 ++++++++++++ mill1825/report/ising.pdf | Bin 0 -> 181845 bytes mill1825/report/ising.synctex.gz | Bin 0 -> 19110 bytes mill1825/report/ising.tex | 109 ++++ mill1825/results/50x50.pdf | Bin 0 -> 30233 bytes mill1825/results/50x50.svg | 569 +++++++++++++++++++ mill1825/results/magnetization_10x10_10k.pdf | Bin 0 -> 13767 bytes mill1825/results/spins_50x50_T1.5.png | Bin 0 -> 1654 bytes mill1825/results/spins_50x50_T2.5.png | Bin 0 -> 3515 bytes mill1825/results/spins_50x50_T4.0.png | Bin 0 -> 2717 bytes 14 files changed, 1308 insertions(+) create mode 100644 mill1825/python/grid.py create mode 100644 mill1825/python/gui.py create mode 100644 mill1825/python/ising.py create mode 100644 mill1825/report/ising.aux create mode 100644 mill1825/report/ising.log create mode 100644 mill1825/report/ising.pdf create mode 100644 mill1825/report/ising.synctex.gz create mode 100644 mill1825/report/ising.tex create mode 100644 mill1825/results/50x50.pdf create mode 100644 mill1825/results/50x50.svg create mode 100644 mill1825/results/magnetization_10x10_10k.pdf create mode 100644 mill1825/results/spins_50x50_T1.5.png create mode 100644 mill1825/results/spins_50x50_T2.5.png create mode 100644 mill1825/results/spins_50x50_T4.0.png diff --git a/mill1825/python/grid.py b/mill1825/python/grid.py new file mode 100644 index 0000000..6fd4e21 --- /dev/null +++ b/mill1825/python/grid.py @@ -0,0 +1,99 @@ +import math +from math import exp +import random +import numpy as np + +random.seed() + +def pause(): + garbage = raw_input("[PAUSE]") + +class ising_grid(object): + def __init__(self, x_dim=10, y_dim=10): + self.grid = [] + self.x_max = x_dim + self.y_max = y_dim + self.J = 1.0 + self.B = 1.0 + self.T = 1.0 + self.beta = 1/self.T + + def initialize(self): + self.grid = np.ones([self.y_max, self.x_max]) + + def compute_boltzmann_factor(self, S): + return (exp(2*(self.J*S + self.B)*self.beta), exp(-2*(self.J*S + self.B)*self.beta)) + + def metropolis(self): + + self.initialize() + + boltzmann_factor = {} + for S in [-4, -2, 0, 2, 4]: + boltzmann_factor[S] = self.compute_boltzmann_factor(S) + + M = [] + + for k in range(self.xM*self.y_max*self.x_max): + + # ------------------------ + # Metropolis algorithm + # ------------------------ + + i = random.randint(0,self.x_max-1) + j = random.randint(0,self.y_max-1) + val = self.spin(i,j) + + # if spin i is down, choose first column in precomputed boltzmann factors (corresponds to flipping the spin) + if(val == -1): + w = boltzmann_factor[self.get_S(i, j)][0] + # if spin i is down, choose second column in precomputed boltzmann factors (corresponds to flipping the spin) + elif(val == 1): + w = boltzmann_factor[self.get_S(i, j)][1] + if(w > 1): + self.flip(i, j) + else: + if(w > random.random()): + self.flip(i, j) + + M.append(self.get_M()) + + M = np.array(M) + + return np.mean(M), self.std_block(M) + + def std_block(self, data): + std = [] + blocks = 50 + split = len(data)/blocks + for i in range(blocks): + std.append(np.std(data[(i*split):((i+1)*split)])) + return np.std(np.array(std)) + + def set_T(self,T): + self.T = float(T) + self.beta = 1./self.T + + def spin(self, i, j): + return self.grid[j][i] + + def get_M(self): + return np.sum(self.grid)/self.x_max/self.y_max + + def flip(self, i, j): + self.grid[j][i] *= -1 + + def get_E(self): + E = 0.0 + for j in range(self.y_max): + for i in range(self.x_max): + E += self.get_S(i, j) + return E + + def get_S(self, i_in, j_in, p=False): + i, j = i_in%self.x_max, j_in%self.y_max + # This is where the periodic BCs are implemented + ip1, jp1 = (i_in+1)%self.x_max, (j_in+1)%self.y_max + im1, jm1 = (i_in-1)%self.x_max, (j_in-1)%self.y_max + return (self.grid[jm1][i] + self.grid[jp1][i] + self.grid[j][ip1] + self.grid[j][im1]) + diff --git a/mill1825/python/gui.py b/mill1825/python/gui.py new file mode 100644 index 0000000..31e78fc --- /dev/null +++ b/mill1825/python/gui.py @@ -0,0 +1,90 @@ +from Tkinter import * +import colorsys + +class ising_gui(object): + MIN_RED = MIN_GREEN = MIN_BLUE = 0x0 + MAX_RED = MAX_GREEN = MAX_BLUE = 0xFF + PIXEL_WIDTH = 10 + + def __init__(self, grid_x, grid_y): + self.grid_x = grid_x + self.grid_y = grid_y + self.pixels = [(0, 0, 0) for i in range(self.grid_x * self.grid_y)] + + self.root = Tk() + self.root.title("Ising Simulation %d x %d" % (self.grid_x, self.grid_y)) + self.root.resizable(0, 0) + self.frame = Frame(self.root, bd=5, relief=SUNKEN) + self.frame.pack(side = TOP) + + self.canvas = Canvas(self.frame, + width=self.PIXEL_WIDTH * self.grid_x, + height=self.PIXEL_WIDTH * self.grid_y, + bd=0, highlightthickness=0) + self.canvas.pack() + + + self.TString = StringVar() + self.EString = StringVar() + self.GString = StringVar() + + self.bframe = Frame(self.root) + self.TLabel = Label(self.bframe, anchor=N, textvariable = self.TString) + self.ELabel = Label(self.bframe, anchor=S, textvariable = self.EString) + self.GLabel = Label(self.bframe, anchor=CENTER, textvariable = self.GString) + self.bframe.pack(side = BOTTOM) + self.root.update() + + def draw_grid(self, grid): + self.set_T(grid.T) + + for j in range(grid.y_max): + for i in range(grid.x_max): + spin = grid.spin(i, j) + if(spin == 1): + self.set_pixel(i, j, (0, 0, 0x00)) + elif(spin == -1): + self.set_pixel(i, j, (0, 0, 0xFF)) + else: + self.set_pixel(i, j, (0x00, 0xFF, 0xFF)) + + self.draw() + + def set_pixel(self, x, y, hsv): + self.pixels[self.grid_x * y + x] = hsv + + def get_pixel(self, x, y): + return self.pixels[self.grid_x * y + x] + + def set_T(self, temp): + self.TString.set("T = %f" % temp) + self.TLabel.pack() + + def draw(self): + self.canvas.delete(ALL) + for x in range(len(self.pixels)): + x_0 = (x % self.grid_x) * self.PIXEL_WIDTH + y_0 = (x / self.grid_x) * self.PIXEL_WIDTH + x_1 = x_0 + self.PIXEL_WIDTH + y_1 = y_0 + self.PIXEL_WIDTH + hue = "#%02x%02x%02x" % self._get_rgb(self.pixels[x]) + self.canvas.create_rectangle(x_0, y_0, x_1, y_1, fill=hue) + self.canvas.update() + + def clear(self): + for i in range(self.width * self.height): + self.pixels[i] = (0, 0, 0) + + def _hsv_to_rgb(self, hsv): + rgb = colorsys.hsv_to_rgb(*hsv) + red = self.MAX_RED * rgb[0] + green = self.MAX_GREEN * rgb[1] + blue = self.MAX_BLUE * rgb[2] + return (red, green, blue) + + def _get_rgb(self, hsv): + red, green, blue = self._hsv_to_rgb(hsv) + red = int(float(red) / (self.MAX_RED - self.MIN_RED) * 0xFF) + green = int(float(green) / (self.MAX_GREEN - self.MIN_GREEN) * 0xFF) + blue = int(float(blue) / (self.MAX_BLUE - self.MIN_BLUE) * 0xFF) + return (red, green, blue) diff --git a/mill1825/python/ising.py b/mill1825/python/ising.py new file mode 100644 index 0000000..0ac1eb9 --- /dev/null +++ b/mill1825/python/ising.py @@ -0,0 +1,47 @@ +def pause(): + garbage = raw_input("[PAUSE]") + +from grid import * +from gui import ising_gui +import numpy as np +import matplotlib.pyplot as plt + +gui = True + +# --------------------------------------- +# Change lattice dimensions here +Ni = 20 +Nj = 20 +# --------------------------------------- + +grid = ising_grid(Ni, Nj) +if gui: display = ising_gui(Ni, Nj) + +M, M_err = [], [] +Ch, ChB = [], [] +T = np.linspace(1.0, 4.0, 30) + +grid.B = 0.00 +grid.J = 1.00 + +# --------------------------------------- +# Change Metropolis iteration scale here +grid.xM = 50 +# --------------------------------------- + +for T_i in T: + grid.set_T(T_i) + M_i, M_std = grid.metropolis() + if gui: display.draw_grid(grid) + print "T = %.3e, M = %.3e"%(T_i, M_i) + M.append(M_i) + M_err.append(M_std) + +M = np.array(M) +fig = plt.figure() +ax_1 = fig.add_subplot(111) +ax_1.errorbar(T, M, yerr=M_err, fmt="b.") +plt.xlabel("Temperature (K)") +plt.ylabel("Magnetization") + +plt.show() diff --git a/mill1825/report/ising.aux b/mill1825/report/ising.aux new file mode 100644 index 0000000..befa369 --- /dev/null +++ b/mill1825/report/ising.aux @@ -0,0 +1,16 @@ +\relax +\@writefile{toc}{\contentsline {section}{\numberline {1}Theory}{1}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Ising Model}{1}} +\newlabel{eq:spins}{{1}{1}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Monte Carlo and the Metropolis Algorithm}{1}} +\newlabel{eq:mag_avg}{{3}{1}} +\newlabel{eq:magnetization}{{4}{2}} +\@writefile{toc}{\contentsline {section}{\numberline {2}Some Coding Tricks}{2}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Precomputing Boltzmann Factors}{2}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Periodic Boundary Conditions}{2}} +\@writefile{toc}{\contentsline {section}{\numberline {3}Results}{2}} +\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Magnetization over temperature of a $10\times 10$ periodic lattice with a $N_x=10,000$ scale to the number of Metropolis iterations.\relax }}{3}} +\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} +\newlabel{fig:mag10x10}{{1}{3}} +\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Final configuration for three different temperatures.\relax }}{3}} +\newlabel{fig:mag50x50}{{2}{3}} diff --git a/mill1825/report/ising.log b/mill1825/report/ising.log new file mode 100644 index 0000000..252f8c5 --- /dev/null +++ b/mill1825/report/ising.log @@ -0,0 +1,378 @@ +This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian) (format=pdflatex 2012.10.11) 18 FEB 2015 14:49 +entering extended mode + %&-line parsing enabled. +**ising.tex +(./ising.tex +LaTeX2e <2009/09/24> +Babel and hyphenation patterns for english, usenglishmax, dumylang, noh +yphenation, loaded. +(/usr/share/texmf-texlive/tex/latex/base/article.cls +Document Class: article 2007/10/19 v1.4h Standard LaTeX document class +(/usr/share/texmf-texlive/tex/latex/base/size12.clo +File: size12.clo 2007/10/19 v1.4h Standard LaTeX file (size option) +) +\c@part=\count79 +\c@section=\count80 +\c@subsection=\count81 +\c@subsubsection=\count82 +\c@paragraph=\count83 +\c@subparagraph=\count84 +\c@figure=\count85 +\c@table=\count86 +\abovecaptionskip=\skip41 +\belowcaptionskip=\skip42 +\bibindent=\dimen102 +) +(/usr/share/texmf-texlive/tex/latex/geometry/geometry.sty +Package: geometry 2008/12/21 v4.2 Page Geometry + +(/usr/share/texmf-texlive/tex/latex/graphics/keyval.sty +Package: keyval 1999/03/16 v1.13 key=value parser (DPC) +\KV@toks@=\toks14 +) +(/usr/share/texmf-texlive/tex/generic/oberdiek/ifpdf.sty +Package: ifpdf 2009/04/10 v2.0 Provides the ifpdf switch (HO) +Package ifpdf Info: pdfTeX in pdf mode detected. +) +(/usr/share/texmf-texlive/tex/generic/oberdiek/ifvtex.sty +Package: ifvtex 2008/11/04 v1.4 Switches for detecting VTeX and its modes (HO) +Package ifvtex Info: VTeX not detected. +) +\Gm@cnth=\count87 +\Gm@cntv=\count88 +\c@Gm@tempcnt=\count89 +\Gm@bindingoffset=\dimen103 +\Gm@wd@mp=\dimen104 +\Gm@odd@mp=\dimen105 +\Gm@even@mp=\dimen106 +\Gm@dimlist=\toks15 +) +(/usr/share/texmf-texlive/tex/latex/appendix/appendix.sty +Package: appendix 2009/09/02 v1.2b extra appendix facilities +\c@@pps=\count90 +\c@@ppsavesec=\count91 +\c@@ppsaveapp=\count92 +) +(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty +Package: amsmath 2000/07/18 v2.13 AMS math features +\@mathmargin=\skip43 + +For additional information on amsmath, use the `?' option. +(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty +Package: amstext 2000/06/29 v2.01 + +(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty +File: amsgen.sty 1999/11/30 v2.0 +\@emptytoks=\toks16 +\ex@=\dimen107 +)) +(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty +Package: amsbsy 1999/11/29 v1.2d +\pmbraise@=\dimen108 +) +(/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty +Package: amsopn 1999/12/14 v2.01 operator names +) +\inf@bad=\count93 +LaTeX Info: Redefining \frac on input line 211. +\uproot@=\count94 +\leftroot@=\count95 +LaTeX Info: Redefining \overline on input line 307. +\classnum@=\count96 +\DOTSCASE@=\count97 +LaTeX Info: Redefining \ldots on input line 379. +LaTeX Info: Redefining \dots on input line 382. +LaTeX Info: Redefining \cdots on input line 467. +\Mathstrutbox@=\box26 +\strutbox@=\box27 +\big@size=\dimen109 +LaTeX Font Info: Redeclaring font encoding OML on input line 567. +LaTeX Font Info: Redeclaring font encoding OMS on input line 568. +\macc@depth=\count98 +\c@MaxMatrixCols=\count99 +\dotsspace@=\muskip10 +\c@parentequation=\count100 +\dspbrk@lvl=\count101 +\tag@help=\toks17 +\row@=\count102 +\column@=\count103 +\maxfields@=\count104 +\andhelp@=\toks18 +\eqnshift@=\dimen110 +\alignsep@=\dimen111 +\tagshift@=\dimen112 +\tagwidth@=\dimen113 +\totwidth@=\dimen114 +\lineht@=\dimen115 +\@envbody=\toks19 +\multlinegap=\skip44 +\multlinetaggap=\skip45 +\mathdisplay@stack=\toks20 +LaTeX Info: Redefining \[ on input line 2666. +LaTeX Info: Redefining \] on input line 2667. +) +(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty +Package: amsfonts 2009/06/22 v3.00 Basic AMSFonts support +\symAMSa=\mathgroup4 +\symAMSb=\mathgroup5 +LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' +(Font) U/euf/m/n --> U/euf/b/n on input line 96. +) +(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty +Package: amssymb 2009/06/22 v3.00 +) +(/usr/share/texmf-texlive/tex/latex/graphics/graphicx.sty +Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR) + +(/usr/share/texmf-texlive/tex/latex/graphics/graphics.sty +Package: graphics 2009/02/05 v1.0o Standard LaTeX Graphics (DPC,SPQR) + +(/usr/share/texmf-texlive/tex/latex/graphics/trig.sty +Package: trig 1999/03/16 v1.09 sin cos tan (DPC) +) +(/etc/texmf/tex/latex/config/graphics.cfg +File: graphics.cfg 2009/08/28 v1.8 graphics configuration of TeX Live +) +Package graphics Info: Driver file: pdftex.def on input line 91. + +(/usr/share/texmf-texlive/tex/latex/pdftex-def/pdftex.def +File: pdftex.def 2010/03/12 v0.04p Graphics/color for pdfTeX +\Gread@gobject=\count105 +)) +\Gin@req@height=\dimen116 +\Gin@req@width=\dimen117 +) +(/home/nick/texmf/tex/latex/wrapfig.sty +\wrapoverhang=\dimen118 +\WF@size=\dimen119 +\c@WF@wrappedlines=\count106 +\WF@box=\box28 +\WF@everypar=\toks21 +Package: wrapfig 1999/03/11 v 3.2 +) +(/usr/share/texmf-texlive/tex/latex/graphics/color.sty +Package: color 2005/11/14 v1.0j Standard LaTeX Color (DPC) + +(/etc/texmf/tex/latex/config/color.cfg +File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive +) +Package color Info: Driver file: pdftex.def on input line 130. +) +(/usr/share/texmf-texlive/tex/latex/float/float.sty +Package: float 2001/11/08 v1.3d Float enhancements (AL) +\c@float@type=\count107 +\float@exts=\toks22 +\float@box=\box29 +\@float@everytoks=\toks23 +\@floatcapt=\box30 +) +(/usr/share/texmf-texlive/tex/latex/tools/tabularx.sty +Package: tabularx 1999/01/07 v2.07 `tabularx' package (DPC) + +(/usr/share/texmf-texlive/tex/latex/tools/array.sty +Package: array 2008/09/09 v2.4c Tabular extension package (FMi) +\col@sep=\dimen120 +\extrarowheight=\dimen121 +\NC@list=\toks24 +\extratabsurround=\skip46 +\backup@length=\skip47 +) +\TX@col@width=\dimen122 +\TX@old@table=\dimen123 +\TX@old@col=\dimen124 +\TX@target=\dimen125 +\TX@delta=\dimen126 +\TX@cols=\count108 +\TX@ftn=\toks25 +) +(/usr/share/texmf-texlive/tex/latex/colortbl/colortbl.sty +Package: colortbl 2001/02/13 v0.1j Color table columns (DPC) +\everycr=\toks26 +\minrowclearance=\skip48 +) +(/usr/share/texmf-texlive/tex/latex/amscls/amsthm.sty +Package: amsthm 2004/08/06 v2.20 +\thm@style=\toks27 +\thm@bodyfont=\toks28 +\thm@headfont=\toks29 +\thm@notefont=\toks30 +\thm@headpunct=\toks31 +\thm@preskip=\skip49 +\thm@postskip=\skip50 +\thm@headsep=\skip51 +\dth@everypar=\toks32 +) +(/usr/share/texmf-texlive/tex/latex/caption/caption.sty +Package: caption 2009/10/09 v3.1k Customizing captions (AR) + +(/usr/share/texmf-texlive/tex/latex/caption/caption3.sty +Package: caption3 2009/10/09 v3.1k caption3 kernel (AR) +\captionmargin=\dimen127 +\captionmargin@=\dimen128 +\captionwidth=\dimen129 +\caption@indent=\dimen130 +\caption@parindent=\dimen131 +\caption@hangindent=\dimen132 +) +\c@ContinuedFloat=\count109 +Package caption Info: float package is loaded. +Package caption Info: wrapfig package is loaded. +) +(/usr/share/texmf-texlive/tex/latex/caption/subcaption.sty +Package: subcaption 2008/08/31 v1.0b Adding subcaptions (AR) +\c@subfigure=\count110 +\c@subtable=\count111 +) +(/usr/share/texmf-texlive/tex/latex/fancyhdr/fancyhdr.sty +\fancy@headwidth=\skip52 +\f@ncyO@elh=\skip53 +\f@ncyO@erh=\skip54 +\f@ncyO@olh=\skip55 +\f@ncyO@orh=\skip56 +\f@ncyO@elf=\skip57 +\f@ncyO@erf=\skip58 +\f@ncyO@olf=\skip59 +\f@ncyO@orf=\skip60 +) (./ising.aux) +\openout1 = `ising.aux'. + +LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 28. +LaTeX Font Info: ... okay on input line 28. +LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 28. +LaTeX Font Info: ... okay on input line 28. +LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 28. +LaTeX Font Info: ... okay on input line 28. +LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 28. +LaTeX Font Info: ... okay on input line 28. +LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 28. +LaTeX Font Info: ... okay on input line 28. +LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 28. +LaTeX Font Info: ... okay on input line 28. + +*geometry auto-detecting driver* +*geometry detected driver: pdftex* +-------------------- Geometry parameters +paper: a4paper +landscape: -- +twocolumn: -- +twoside: -- +asymmetric: -- +h-parts: 72.26999pt, 452.9679pt, 72.26999pt +v-parts: 72.26999pt, 700.50687pt, 72.26999pt +hmarginratio: -- +vmarginratio: -- +lines: -- +heightrounded: -- +bindingoffset: 0.0pt +truedimen: -- +includehead: -- +includefoot: -- +includemp: -- +driver: pdftex +-------------------- Page layout dimensions and switches +\paperwidth 597.50787pt +\paperheight 845.04684pt +\textwidth 452.9679pt +\textheight 700.50687pt +\oddsidemargin 0.0pt +\evensidemargin 0.0pt +\topmargin -37.0pt +\headheight 12.0pt +\headsep 25.0pt +\footskip 30.0pt +\marginparwidth 35.0pt +\marginparsep 10.0pt +\columnsep 10.0pt +\skip\footins 10.8pt plus 4.0pt minus 2.0pt +\hoffset 0.0pt +\voffset 0.0pt +\mag 1000 + +(1in=72.27pt, 1cm=28.45pt) +----------------------- +(/usr/share/texmf-texlive/tex/context/base/supp-pdf.mkii +[Loading MPS to PDF converter (version 2006.09.02).] +\scratchcounter=\count112 +\scratchdimen=\dimen133 +\scratchbox=\box31 +\nofMPsegments=\count113 +\nofMParguments=\count114 +\everyMPshowfont=\toks33 +\MPscratchCnt=\count115 +\MPscratchDim=\dimen134 +\MPnumerator=\count116 +\everyMPtoPDFconversion=\toks34 +) +Package caption Info: Begin \AtBeginDocument code. +Package caption Info: End \AtBeginDocument code. +LaTeX Font Info: Try loading font information for U+msa on input line 35. + (/usr/share/texmf-texlive/tex/latex/amsfonts/umsa.fd +File: umsa.fd 2009/06/22 v3.00 AMS symbols A +) +LaTeX Font Info: Try loading font information for U+msb on input line 35. + +(/usr/share/texmf-texlive/tex/latex/amsfonts/umsb.fd +File: umsb.fd 2009/06/22 v3.00 AMS symbols B +) +LaTeX Font Info: Try loading font information for OMS+cmr on input line 64. + +(/usr/share/texmf-texlive/tex/latex/base/omscmr.fd +File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions +) +LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <12> not available +(Font) Font shape `OMS/cmsy/m/n' tried instead on input line 64. + + +Package Fancyhdr Warning: \headheight is too small (12.0pt): + Make it at least 14.49998pt. + We now make it that large for the rest of the document. + This may cause the page layout to be inconsistent, however. + +[1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map} + +] +<../results/magnetization_10x10_10k.pdf, id=14, 587.19376pt x 442.65375pt> +File: ../results/magnetization_10x10_10k.pdf Graphic file (type pdf) + + + +LaTeX Warning: `!h' float specifier changed to `!ht'. + + + +pdfTeX warning: pdflatex (file ../results/50x50.pdf): PDF inclusion: found PDF +version <1.5>, but at most version <1.4> allowed +<../results/50x50.pdf, id=16, 623.93127pt x 241.703pt> +File: ../results/50x50.pdf Graphic file (type pdf) + + + +LaTeX Warning: `!h' float specifier changed to `!ht'. + +[2] [3 <../results/magnetization_10x10_10k.pdf> <../results/50x50.pdf>] +(./ising.aux) ) +Here is how much of TeX's memory you used: + 3780 strings out of 495061 + 52133 string characters out of 1182620 + 120501 words of memory out of 3000000 + 6911 multiletter control sequences out of 15000+50000 + 11195 words of font info for 44 fonts, out of 3000000 for 9000 + 28 hyphenation exceptions out of 8191 + 36i,12n,43p,642b,360s stack positions out of 5000i,500n,10000p,200000b,50000s + +Output written on ising.pdf (3 pages, 181845 bytes). +PDF statistics: + 106 PDF objects out of 1000 (max. 8388607) + 0 named destinations out of 1000 (max. 500000) + 11 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/mill1825/report/ising.pdf b/mill1825/report/ising.pdf new file mode 100644 index 0000000000000000000000000000000000000000..2568bacb81b31070427587b19e859391f32355a2 GIT binary patch literal 181845 zcmc$`bzD`?)-Xx+JBMluo5fT9ED%1XNnO6$F9bKB)J8 zz1R17eBXb5@R_}5?>)0-&6+i9R?Hk)RY_@94mK_{+VSb0IW$fXJIKN0F-TAl4XkKx zZ|Q0Ug7ES1gKq!Oz|z*XuIA1lu(YkQtGT4Pse_q0ny@gMi>tG_u^pP{{K!Lv#Ki{O z_Jc|z`&vTGAY?H(ImQRE3Jq&auQQMDB_z1z@Xe9TbFMvK^Q65TE53^&^y)1h_cXJhq6?bMr-mQ(xvery~5_o8y93spuQ zbQ^s+DJc*~8#0~I5^OV%EerEXHcg&$j9H~&vWARk5{`$(Yv#e1d;McyHn<(j-&%Z* zH4YE0b3|UE9I{5{L$h$h#wpzal!FqIRpO9HfdS{>&+R2jQ$;fY5hl zdiulS)Ipog!iMIqjm}io+#XM|`w5yu(1OzYX@i+BADjm&w&nS{DB)!}WI;-tdFPFK zO@n!_B0U^UWx|u5s!tCL$SZjH(GNj)N#;;PQ?? zAmT1H!CoNlSc!MpiRLOxiZxpIT7p`T(M@*X)&XY&h($X=1b!&x5Ew5%-x|@rXF( zc7?FfA)!w9v)pa6?as8#baHOoxP<8(O1x7;1cxgs@A?FD{Q5D|?Tr`-l|~T=>#Vm$ zxZJ0n=wS#Z5+?cM@%J~9X3-~N+yxdX$caLd!xUVTvGRIXWbaY<#-w}8?hN3dYJ^&p z$yA>6$6CBjGZ|zd8!6uV;-a|n+Jm)LcQ#}{BY&{Hb!8sXd@N(~LL-IKxRAJ|Y75^s zZ=qXHbGYQYijQUdV~_%??u>r#lThP_h=cdAD%>U%;)Wl#O?J)1XQmBM3d=N_2!f_w z^Fm57({c}TKzs9fG)95>2H4?IN^J*}^M9ybg<$uJF-*t80{cUK#%#|; zC4})UQ9*=FZ({BRLBu|`FitEEb;^{&uknPhR>C*j&83-PhMoCG=Uz8&84$B!*Yy;b zgbK11!xja$d^kTm$~fC({W4tv^JE&EV&*zv^ePKERB3@S8pr!&BkT&=9*_;Vtv zltdE!k8c!apJn;tSkGUR7+f~l(m9+TAAju%dnPu=f%64M))zNBPXJX+KuM$s(>)!} zHGvZ^F9=?&Ju0|^w2C?vq>{tSTn@wVjH2Xn4oCBZqV0ZG+jrHN`Mi$0kXg@r;#k9s zcV+Jn!io&RgstCEu6`f(nnrduJJQ?DHg4^}US?XNIrmHC1uhFU5q){LAuHLnP?^sk^b|x)pR@$Gn)vNe zs*rkOJj}G1U&wJ7A1z5J&+l%{mX<^4jWQZHBomQ?5%J&#rusN1wBLt=kTxw3%ZT3FA+^CsP_$Mn9N|ddZ?I^oIGh@ z!bdEsb=aDva;%S&Sl(_($TLaEUyvdods!VYuwFG=J;UU_GB*yM>&cw?V(0SJ%f{t2 zC~&kg_7Z9Q-SX*x*UORF=0Jmwakl%leCN7z@1J<~!{!RD1-wJZ2yQ1m`0nh?YSI32 z@nuKrF&yKI4$<@W5U%+IV;N1Do)uPjg5IZMEOUadugA~zJ_f$l9Svl5$Z)(#7Wr^j z#)anYmem6Wqd3dLsp^&-x18=cQ0K=}-Ekuiui4kx^Zo4xX2w}%3&mG1m#o^;A`@z z;B-a}z3EeUcE384P!N0?m!HavQs&ITx}EWn_+8G{hmG|Re+dTr?qi>anmpW8eOHBF zEG6+>LNy1~Oox~W@8(+?sRqi#$D@a3BG`aVwsk;e${2)Q{Ho?pMQOK@&wDN`{@k3&kj`H_mMeGXCNe zMyaOmts8YJE5gl)yX0ahx2M`iD=)EvH#vb-|4AmFfQyj1lgnm$oKi1O8{s7!EK7nn ziKOq+mnQ$hhW6PuaMnU7c2KcC)*UlzcxzdrNk-jHIwBO}D6kt!&?|6gaRTyOw6#RA zR|b7wy|3ELy&)fghUz$yr|{;O4QMfm_m^u!9egtMF)rY%q#{%~iE0dd{Q0pGgT(8& z-I8MZ&{?-r)lMJBA@#v_oR!$P4v$N1^PCc0NlIfxAhnobLxK5I?}ghIcx|GRlB!clVAjy_5T6*fQ|a;6lv=-Y`zBSpz4*gA&)^(5 zDYb(S$Bbh$6(9WX*a!4|YIh!;KCL)hkuzx!*DLb<#&5njN115IBLC4=V<=uzRaM1q zZBDUvI6Aa0oEiI`{!4i~*aHjgBeoo#d}9x-H`2?BIAKiCy zK79fswTV7BndLJ%zeJrPUTf4Opf{)}Wxf$>P!+|*)W(HOP)>g&2B?1iz5P9zaw852 zW4;eqTAs@G>hKWmnrkw_eA)HXbEu%P2r5=-KNsK4K$~3I``oYfoa~OlAWs|9LY2)< z(M@c`9#iz`*ueP#eed)4HedOW@%C?Ezu^_bqnX>A{nVd<9H4unLH?nGYkE1FgTSiB zmgZ<+2?u*ub9+}85L8K5M+2*yyEwQxo0_|TIDWiPGB>j}7I*Lj>9GSZxcRx+AiO*v zJ}wS6K7Io<0E#nE9mMgYy09?lXM51vzjS_SpbbFz2Q+*RZV(p~EHujt;{KV1KtMdd zvYa5^Us*m7->)n;i2qlX2gCtI1PTJe4&u1Q5}M}%aX|a14gyREu&T3zsfM{LNDt_y zq%;VuY3}I?G61ZKU+AHs0hRxa;V-L%pO^1%t&(-ph1dn2ufFYF;HW{-uyrN8dMQIv znh!*>@gK0NT4XPBs;%@QSY9V&4y^6?V0pQ^Y^DwHU?YC*$&=kaT=cBiDE|;y>DPL( zys^EIO7#f!O$}d4dBz@7aygfRPM$Vz&$iO(1;velA#<7}$up-o>BtHG$Y}ol^@7M0_56HX@Jh?=Sf2 z^f@Jc(yE)cy{e^XxS3A=65EcT9vIT4b=|f*`t{zif!*b?#>Z5p7%sm{^+A4hv|j5X zSj+G!<_^nE*S>c z$D0k)Y>Cc*>ttTR)F+`YCU7KEC3I4(d-!6AMW!hR7)(_tR87Na5wFx4qwxtX)LU;i z>TiB1b;H}$K?%0Oqy; zs#uh(o3k4M+X=lBE=}U{lA#?M>`t|#n$tmDOeAdwbXDn$S$tf4IN8-)gb0bKK^M*S z85@p*U#P1n(#vjK`*-F$+Vw3326=s_kb0g4z&;eu^cD^_N3a&eXvKxc9NQsR;)jP* z(OYo$IOucWCl*V)Gs1_GI=v(nHx+5Fj-kiHAK2lxVIi8ob+PSdXLgD~SHssV^u@2R z)Ov{ABpsU$&e{rPthM&DCja9T8wYC1u=#jaJA_ApWJ+1R-Sb@}ly~kgdDCQn z;k@dFeE-7t9yh7`m*0i_EKy}eL|NsVyayZ1jJ_A}j?N6YTWv#7#mic19JS=I zwNSsh6~kw(4r52UE6drPymJ@IeLVExo|@>_^b$&)57h`Hvj*qs&T+Xg!SR^$#{!O( zOVZ2nok~skb(P;Mu)N`#cpa0qf;dTTwld0|L!A9o$Q!xNTg9~cL9o{Y{B*pl^%zKr zR!F|+PN2XHxRNV3K2Yk%>?4*87ty>d+zFxzTI^~?I?(~EOt-n2=Q^18+tIVoMrEI| zvt=Q?gqc1Mc!!UTmx{e&2-`c`DG{y<39d#by+0aqr*X|~St(9y3H=SZ#34#9ob_8+ zyEmoVL#A#bVaAPoULv87VCBa%BjUFXtk6ZK$~_SuNynofoQave$tOLvn(Adbc=Jx} zt%s|25o6oLMK59qoSmHNI%jv&y$SF1<_`4SPzn~Z6C8RhT*h`jkMZ+}(XSzT@a{(U zb4eOJaDtgCu4}%s@zZ|_Z`~{+ulG_|sqT2u8T^f%FZ94`^CnXQ}EV;Im@BW3?6MihU z7~1Kj);N_R-|s>yIPA)e;rT8$IHRVje#cJU+l+3wHx{NX_D@e6?OYD;VtpO2JM(Mc ztG{j-p}x^>aJY-zS{n8}_n1-5#f(^-w@^1BI(GpFr~Q!xj@5$mQzTxA@9t$$i^j_) zJ9;hp|s@V{xUn*`Bb<{!wQZ$ zn=9p}*S?P&SXN4uH0`hI`jCb1iEA`A-h~Nzl&h6<>O^%g*4}k4{JfDavd6hjf87Jr zM}xUQm&2B&AE2U8uN4RL8u=bBMv|Jw%IVg=431UjC)(V?{OHUGcEvmOX586}`A9bQ zd4u*oBJ*6VhiHM6U@`uHyY+_0PXgc2wxf^-=abZaLC=lAdxnI%WSKBv96|5-85yBd z4CZ|rOq`j&HZK9f%CzETQ<^me+qxNERt<iqV$7$Y*NCB57n}4NuA4B_VqokJyc6D1)BnMXeH$Lh!l+~d%XqU~N{ITAI+4-R!{~=JDEO?&ikwe|5YAqVV)Y!&M{kO-=a3i3Pe zDXC&YRGZEfF~wP6zo=9Nd`$}Rf0OtrJAQR)$yY;;m@%8oFwQe9IJ_iW^pdecVY~7r z_66*`h9M-&-Irq8oqhjkHrFna?@oijnv{8Dpt#*AmJpcV#k?rtuwI>RMQ2<=s?MSJ z&ZM6scTI{G8!G$A^MT15WYp`@DRuje;%}M^@k#TYomiY2_SoRs#d~=#Vg(6lYDg7gQ%2>W)|R!u*X1jc;w&(EEN;9&BQjo6(5tgN)bu=&d)gHi{$Q5j$njO$9u=zs za*}Qd)w6Hfy%4Do=E3%B^A?R6!{IVKq~(a4mBOL2hpv#peCn9khmKA65SkYim38-d zvp%7fq8HH%!=e-Qz`l}O|A<_W!ERp@O8b2|=#5H(Icw*GH>kKT(zMb#G8WMS%nG@YjvBiRA1uIV!7Rhs#et3EwmOXeH7918RRCFFHv#GAZ-b4vX=A zav%N+)S(=QccfhCPPZ*RDU~-f2PWW@i9!hYEK1;Q`xrar(wzg@yO+fF> z9b_Qv@pR*P1?q zV_)xOIadXL+$hvw+}_Prw%~F~?W+I0acQ@JRb_vYf>BYPNm7QyLg8KtJ6m7s^ZFKxJq&M^9ZDh3%nQj zgzwG-h?5H@qB5JWDLdbu!t};EnVjPXcN$4peL4$%|779P-zJkeYa$NO%>Q**dmOrs z=?H}Uaf)bSIZ>|iLcR?%ld>Pl(-&|sb9~--Pa=X-4DUSMe7l-Lfw47h2d9cvFr~p) z$1Gw@u7WC69nqPx$1p-&}+r>4fKcosAs{L&10(Eito%}206ND+t#M(Um(kHuC z>oty|hh?s&`4x^RP#&xv6Ju3JYZ3V=`^Eg^L>N#T&WMdNcqQsd&%QlEtk8&%!SWwRarrq5rQJCHwwV7PgCf7m*p|2+f~sySr8z>d?p!|YjrWzzISp4FT2 zVI$@eNbCt?0-0u7!-IY;Q%h9YNAN2;5wOJ zA?m(-O88bQj6{k^!C9uV!*2|o5#v=8R$$@mr7*ZIPsCs~oVFjG(yMgy!NS_pxl@BI zcp;2)uLU>z7a}ZdwPR7c9PlrPQ87Xh;O%8=NA~aW>6%<8IMS6T2+B;SFkmX`1Ut#t z*JeZ)kM^DQBN>sPC?qjC5!_{<;2g!!iNl4&tgbY1(z3PN1wPrXemg?q#Zg0ye^Fu} z$D~DKoZu{Pl6FW~kWs%=+$MorP;|(K?X%VT=pfVK=3V=qhw;F;Ffr{F`MnZ#1fRyM z(1b9_y=Mehk2_~0;*sUR7UC)oaa1`_i85lz7hTwprt4IqU*4mX#oy`;vZDy5%{CkM zs6VqyeCTO^WnoJ-38&}@OS7sTGpvo;74ash1|u%PsX|S;h)F2tI`hm@mxSe8&^Mfi zL91^oBhf~=I(1I2_%lr8lU4;jTQ5pzc-Y_RIg|SmgWe)XsgRkEVHc(skL5y)wP}4f zTO>i#I76{7Z*%dRuSm(9$L94{_BA~UWn7iZ&J}V#?!)um7LL~>Al6#Px@y8OiJBvY z?_n`L89dS}CS6Z9jM#%nVrPP5208C4Fy+N?Z@9bh7Nq-mjEPZhY+B1{`>OXjd>sW= zX}z~{jUH<9FW#xVyrzg(_SXV+V;6J{Fj*+oL_LuTY`%sk6{GzA-*XXQ`+rZ2KhMSg za!5e_Upx|E8D|GKM-bq6fVwyS?Ev6_`XPSJ%pVBosF*x9H+4k=Yq*)X-nvMn9h~ie z$pKt%OK<>=1x+a(HXvYWu54^)4q{+q13R0$xY@e8fbEPe?af`Sy^US19qbJ`*gZMe zfvXLhqnQQc&w5agi?W-Y2@vf31xn7|!a>s7)D;A|b$g(J#sBSU;RBo{TpWOp<+m>U z!$Sj&r~X9xHnyt70mM~r`w5mbe{8JfreSRF!fI!2@8$x6+&WMILB|v;dqp zu0Z6~9$Fdt^e3kYSPtlzxj5*@UE=3m4sfP`r953_G+cq0?a%reR>o%5_Le`N{vqu^ zoVOzfNGhnX`sHikH_6uZlSznHxRZ zGuVx;-7#Q^GkhUaTGrfhkxu{${0w1@R}zw+rq-R|Y7;s<-IJWE)W{TGz2Oaisxqe0 z5Pfqn?~mJ6%y)CMcZlxV&Ywi^)ZkA47u{|_PhM>G8C8yS!qi;QvDtFupKX2Kd?;m!*VM($bRC|@eW2hLdG(7_@l;(f@Zg6jb zfVNW@SnX3d?*Fu|Y8x zL^I@h44NqQr?0hm9T_Vh%BC@>H^wnKDiI_;b&EDLOIK$d=_+hxpjYS4W@Q+CTJOr6 zE2g8a^OEMVvhDgVvW#w;-PbNYGdt$<-a@iq6D%2)nbkG%QObvJ(QticST)f#aas8_ zmQg>UD=J2mNIIe4`D|O9tk_1DMGg%Pl|fpiM!(MtIp)4vth)ym7U&SJ#b8!`6@qoH8n8a892 zyfSJ=P&|R?Lyz)7+o^`a~`ikp$l~2ue zfC*ffvh&#`{77(Z-PP2|=|u~l@6{y}ous6^Lb_jQQp6ln68Ml^BR|B8z$6HKY32q}{jSVReK^1pV@s90{l-po zX&F&lj9q*eB%~99;mSgd50`7i{_jUB!0#y2)s&!vbxUkuMQ zGg`i)jQ$g@T`UOX%E?oZrD|x6kV1*{naK#{`1}2wn08Ea%zRn02ywRlJt~QY30Jze ze9=R~4phlGkB$lW#0P>#v7hTsqLk;7NoiAU`mF}oaamC2TSZyzx|(U2h~I?vP7=TG zaNO1p6%|7lNKjU-@d8IA42MB#W>+T8^t}S&8FPBzZBlUaIzzb$^3@gQd1Dp~7ho=% z%A;4vbJW-|A83u*(t0NfNe`5mC(JZ=yk`(2si%`ak7veCL39#W#)f$_0{cEco|F;! zs#KDZA<>2`$4sBo%y7+CK;p{3$gEibaz6jU?0{BouNKCCy9GU8(hUpGXtJH;i=$e=p$Imw967h%5FN&H6WPoKUfiMn?+@NC zmv_J4319UI9=zs(b8eKH`rNIJJ+;$uagw>UoEjY2(FyV&$Kdff|8|I&a_Q{tdH-sC zxvIkNu=u_eKWk%O1bWckZjc#g2dMdZdsOuI2^Yy&8KKqr;yY^N1}2gNNXn-&w(W0& zobI<6Ee->QbJ2n6%M~!GXiA~A&j2TUYfZ#B8l=Uc8E$d70%q*9cEG|`3(Q1+uytey ziS>MOM*l1i?gv3l*GI;0nz9Vo?Kg;{iKjd`F7o%jZYG&b3HN!LQ!GHDzSNlj0PX+) zq8GLAWB6qTKntK+JlXY zM=oNn7ZxX8zGGeL>1ch#Pwz^mQR2ZoJ zzpprm_<5oFc89F<2?QCEuR2oc<(yrdB;(hpmZ;s;zF=+%yDa`Zq9ju`XypqMR|{Bc zt10Abh97Se@oXE2S%3DzX!FagiUY;X(N=h0s>mau4zF*geZz;T*Pcn_SJwIYBDGbQ zwSyJkR!2Avb)A_m!5@}ya_=MDla=wmINThk+P_C$$eYJp$G434{rxr`^U?geUJ97O zQ8~q-J8|9esP#KjTf5*K#EtoSivZ>mLg&YK_h3(#aXYE@VPYrst|gFXLq>^G7ow=^ zcLrAMJZsKbvWX1~d5ImI)(%X*VFY|ch@)~I!xg2-b{t}X*2yUT z%rN*K%%BBR>xon)?~o-znibah$>;^B>0y+uO||pIP#p8=;IgJS`kN=FS>c8LyD;ZW zZ32X?&g!xPCwG%c^S&fL@eB(B@6fgTeE+h(wVL5C;`ij_a>yjQ*rCxc^Xj9yZ-;w| zSZvoqN5*TM>>FpKm2Q8SuRWacf6&CCiYK55qd~Pv31G_|RDYF(YIO{f0uXi%ZgvO< zF9#0?CnpapI~P4WJ3UmLb#^dwGX?Zm20LR{M_UJ1TWb>#py`54j7@ET2p~}87L>#9 zB{>eqW~DtnSWJgbFp9p)MrMhhWIOD`O|j3MeI*|1piY{|EXAVaPgsm z|3jnyp;d!`J&C;BKd-l0=mi=U{MTl~Oy4*$EO<&3sk6)=bfX-!?S`S(y|(FeZ8r^W zi!h0x$p!%i zkR5ux%|dg(Bg(1SzXDM`T!CnfbF21080XevSM6VRUV($*MMKd21Cl=@)jx;{M5-mt zT}+*=9bEz5<-Cn3qk(UYy?@wLP@B-+Rms@Z*&2w8gV@>F*`ZK?|6e)4JQ6o{F~2o} zeygZ$ZRTnPMB9H_xBoIVp$y9j%o;0WXQ&+pl(-F){~`nw5Y$?7c5#Ik0kQu;;a`0H zr{M!j*#moNe_CWZ0%qM;^G5)n>#yz9qi4)t{x6xS1V_8bFc-lO8{(P?QRZs0cgO@12(^{#>)*> z0P*sIm4F=rU`-G|FW4A}*K>f)fh#B261Z}Mt$`~)*bZzDb^rsGIR_UQu!lK#z^-67 zAchYCdjrJ#F@Jw`;D_C4{Il;6Ztj1GiQ6&y#bnU2gKkG)g>XWROMqzqGleu<&F!>q ziD_$W3D6v1JRR8|Jpm~E0|_XUfAho-sQ=9nO2(eILksML-~ymX7(4zOj-0Ept+lC` zy``-=v@Nk8IPydI|JjY79y&BV5Dz>1|F4OYgAZT}4uA#NL42HiARbO05I;9Nh?kEY za8m#ik00H z=L7f&cm~Fq8)%#tnz$i=KZE-=@o@8ixVZr!JiyKoE}$$QfB-v?hu(oQJe)uRc8Tx; z^`S8N`S^kRk9W}fZD*i}03CuN0qqnt0Sn%3U2dS`KVSf5fp%~6z}$oYJ4K+0o0tFg z&d&?r3%ut6cA@+z19)$McDVt$%E=FX#|3Pjfq?h`VnOe>36Nq?B0-4&y+hl-9egP9 z032=!3$)1%)VU?fFXW(iD4*T7#07m|hmr`2HneNdJCJUxL!0}Reva9{K>f%72>t*8 zIEkUvxS?19nEzsf{~Sgrw!aX$g}}wjaocSu`cOXj7kp?b=*wGX0vHPV{0kZsI`sMW z+fM-ez?pzw3CajRcmT==zo%PT1AGDHiGQYFJn`#(%PT*50?H5nOi;XTp8*(9-uRWE zJ?CMEjthV*ln4Hh`1yb_f$|05Rs3iA#S_2oKX~CMPeA$NAL(|iZ+Qjy4&|Gl3Cb5x z{sHa=zceA>)4x@;TWS46Mgzs5PR(C}8sM7SM?g@6fHAtwL&Y=*=<4kQREz`6__NY4 zsSgank2gOTgr8nks8|O$?6x8x_CZ`fSFBs{4>%@&d{F>#{X{|ukQYDRL01J3*G~jA zf%W6ZYhw`C&!)|Rk^k||5@60BIctFLe&p;x+&`Og0CE3p#vY*ekFSovTJt0449vYB zIX4jZ&o*2Ey8U?fLx=+s>_^W5+TZ5>tzO;|@7KEVN9E*S`sA&g{&gHBllz$hpdn&N zobiW(+133*9PgD?6rFwIF@A`OioO7TLlhhzt)OVM``mPyR#WAbFb(yyW;uSGQdM3A z6)QyyPTNV^!$H?ikZiryOs(x8W!bf@mpr6-(H4)oCp1RUGOmXfX&#$Pr@=#ZG#l}2 zYK#y!5bFicIQL8RH$%d+2CFueIr0`Qq)Gj57EZ6>d?4(mf6!{6MEaZFasA#oPM$hd zc2#yRcH{)M>cn`BnCYZh;%#8s%TkkeO86-JOI+hDc8TfY<+OP5c~g{@?LZiV?%>1fjqm zv{I?4N{-*SdQaXMmQQ1~bt=O}5J?4{az9pJ-*18t+Nd%}#PczUvpWK=#DEd%<7Ofy zojSo6amuhOH-6pwtZTUmCxh8{zunE;JG@_OzfAwwood3F5HelM)prL4U+SKqmsFAC zO6@z387{nO3v}fa*a~HlXe<~bszk1M3D1GCBZNrI*XhloccLG+UE_auP+A>@O7tk+T&53A-vll(mLCsnEpl#6 z8mNQBEpr+YX{@tkp8$s)%p$Ly&H4xstBEiU|QFMU|O=ZvV9V2rg=W(>EH6%9cRU+5e{ zPe?UAHoYm}X`CtyUx}m4NaTr}2!m9)Z0MP!9Nc;TF61L_Vmv7h&6{+EC?(k>A-V6& z>t70zxm^9|m|ed4IF}MU&L2P_1nInyP+@&EFb+M*q-JWM%iV>k< z-FT`QzR9R%sn4bsQK^e$l-&2aYV>#xC?)g1ak3=6>0_XQ4Ocd$L7S`!zzyVYtBP#f zK<6jwd}^MR&VpfQMcd*X8`?RZSzBn_JDWXwa*Zsd=ac`3QTV0TL)|O?lRSg~Zi|09 zB3RY<6X3;AhCUN|i@Qu6R1d|U-E5%^!Ul&)fCN~bRC`r$QkXv;_dlpxK1jRs#^X)y zr$M*7MEp2}vXgf-l}Zd+@3kSjlUcx>6mYWylkC8Yn4sBd>M&HvP!|Z>J`_BAMK}K?KbO^N)rMhhHHeD&FSR6urxmtb< zS&!e=5OtRE1M0^Zm--3|vo83fq+Iuj$_4ogWwbMg271t$k*``uI;Av8%LQ@p96J^y zt}=Jmct1|QuI)KJf85N_)q2Me^D>6NnDB1d(IpqV^M7EASIlG9v z$7cg*5%>w(wDW}+@v7ehLp3`rhg#d;W#WPqlF>nG!7 zS*8r>B<7(WWa$`OePrRo_=4e_cuA+e41R_Rbj=L$B3PKY{)YE}y^cr@ur3oX8Y1C| zkKP+sk{N|g_N1@*iZbDQ8(rMYo_k$?hbLX7>}joo%H)lk+-@ibwxLvR@GAxZdPRt5RZnK!-FY{^r>MapO_^v!6OcPQP3My? zQ4V7*lsZWpA>Ups?_I%U%8)ew0kgkVfB1eEeL}GvrNC8e4gqMCQ8XmqzK-_fX{Gg47D;V~aLHxzs%IPpOBnD98xeA*aO`rj2o0=Fi)_3e&?IOlEX#PVN^G)xWrfg6g2c{=X)h+35XAkX1DIDMFlY@y+d`)d-t|^c&YsJS9e|s@bOYf zv!^e{jzU$}W}y$ulL~Q);Zw!?9&*%ehei0f7TAdDX<6~f0zxLfjiNU%%$d(G2gXjW z&Ze6NU_E1;|CfFo50CYKjCw)^w;h6U)mc_t!nm|YXLyTj&%x@Q^ zzSX3~G}j39ly$Rb>7ABjMujOQrhjHqAZbL;?yiscoZ|Zyo0qEu*)2w)3-iN_l`h(d zqub5>HktPx+=9dzn%mRF&xq9sH@;D-IM`;dHP4mRcK60P+jr$rh431db@qMlr&n*0X7KI$ z9Z0_$jIOYv^y}BA-=Q^H)S#2XGgEHRv5%U`-p^$yatU)G0d2pJ3{&4Q(JuGLxbMIM ze$UdMG>i_BE>_Cs^X&JFNk8>U{_J@LYkT5y|Gx=;Yd`*t{Lbq>oY`{zVt+2*>}H|d}1xH@WCYz?uk!1 zrmA1ao!Qc+RZEMRDUNFryor8sbPXSyqk9`q`TZ=|tz7$VkO_S))ubPn0w_GxcYXM2NT6=J3ASf?4;DJLQ&u22r>p z%Z&tLO_JLnV-kX$*rz$_O$Q=D+(o3?4d>d|iuPYR_Vv)SX9e`C?T|%LQ(Qh8A;G-u zMxBRwyEy-mh>?NfL35;B*Q;ZF`unO4<7KX`ya6Q0cleFE6JBA>S~m014&uPNuVd*QI4+{PBik>3PJM``P>SaxZ-L0A*!2zxl(Ia z_WVkpcp}Pyx)a@m3E%rl^sqYV%MPLr_`W8Xmj1x`W{>N+B9D7&$yJCvbrBxRX96$wtN!B=vxcpDvhu7LxJW93 z;WegHoxqta#+BiE$@(wV5a-1$^57NB&lQ=PHBD;00%Zb(d_|uJFUt16H?a)1Q-?zk zZQt=@@i?wG7)Rshk7#*>UrNRmCzj@~xX0O^2PgKn56%!aDf3)z)80W2^2-J_m zv`kXq#46geakL}fhz)|X4>KvX5?rZP{C?=1Ol5b;rxbY79hvZ(a~8WfFEH&~;kCl= zRqKJq3yfwPK+b*GcQD?h;YU$n$SWb;ymCHMUpx>ZbI5y|)HDoX#@nJe_PF^;uP?@L4YGJQ(Wdy2I)z*YqR`8$16&u+JNF}Q6vv~ zgwlFM{0T&`okBCZupa7YujeL@JvZJOf?I%A!Kzh~y6@{A>txp>D;^hS^jG-g7Fga% z`6M|w0)!v;^46S-_D8?TIDRqwB2&GeIr6sCY#l4a;tS*clMHe-gAZo@lcx6XZ2Sqo zmQ~fgEL;y+7&YL`LD(-P+q*(6brA^p10(#cRtk+?{nHjyQdO{*q{LWoiPT?`qoITy zm6&<(`Ff$cTXT;o?2f-I_Eybs-`#>1SCep50fuYZ2P}HfA-8jl}2$5iGY}@<<@RodB(IQ?^@Q)_^Kk5l4bg5}81jK- zFmFCF75jF;(!>~O{DEkHt1EMG|E|kR#l42k9!Zx6VyJjkDBIP26CO9E#NXuW9AH?( zD`_>#DCnt*7H6$a*}bq{DA8)M%+WO@k~-fd5|ih6?y1aCp5K_87CybxR8rRDW|2H) zJv7+ke`2N0nJCo7y-k0pw0ZtQudFQ*bc$ycvWW$GZmWfg+De@ zwnCW9W!4)t-p6#mvk{aCDtyw2D6niiGu%)%QW0Wc>d{OgXFc2Q?HPOywqdgOyM5>dkz9Nd~AQ{>)&e49Gw3#;hzm* zA^@KE1I=Z;V-n%g@R{tn>&hMWbTRRBF{=AV>?ki!j(Ns=4kz-ud9Qh9%1x75D4M<1 zwXnD1!ds6CRjt|8-iGQbl1mtmJ|FB)fi&J-Zcqw-X`8J1D%f2R3A>@#yd1@^)XsRD z+J zJdtivtwJ^c?yu9-$<_LhFL4ygfR7Esx)g}G+)j3LL|pP_wkp)Q+s6#fNPgO0v{zz+ zL{?V}*Z4A?aI-+Q(sucP0i-?sGBnrKFW|lAMQ3v~u8h^%$76${bYjltO z*t6H`{YS#OjZ;ahe93#$vA9AEH9hN@gjL1gUyf9hWnDu zC7<@lzP$Jj%LbE6@`nNaTX!t)f2`HfZ!iPcG2m~qsHnLjlpr`Oh?oA>XnTFaS!PoV z21|t2;vt#y{ch){O!tH?pfZcxm7Q@eV2f8!=KX*p`YXi#v z%~=O-c292hzdhN&^E0mZV6B!_TPRzki7W ziuP}Z4Zz0iw|$WigC3+X1-6(#=N52;;h(1=JfT5cpfw;s>IuZte?}5Lfl&L8P@*vK z_pj3kz%~M4bJU;Qi~n4Q-Sib|X!z|H`xuYm22rmE+Su5cUzuB%ZS^n@NY8Jc2erVP zO_!^u>Mpn(;)76vKqwm`m6yp1K4aSL2eTb>Hy_PMX8mvac0N72@wz&JBfL>nH9WiQ z^)KAu>KjUbAo03QSfsM!>hkKM@22(oYscP~${V+K6z%a&^-rH}zxZzB2YNw?9ekSsW zsr8}HnXcjM4sFuP7nO!iIY-K-u*te`zK>qDTlyKOJ^Xm4K9u~3wZrD_#27N4gVjV&LMMo5)JfU;LO)_+YOb_VdR_hL!FeE_;

Cs3nVpR_{nRYX;v**|qSs?U+?Nndg+hs6LK* z5bn7GbL>Ne?^q-EieO7z;jY05>3HkxkbG*yE8|T3l2(efAf|pH#=sUG{SG}q!!VU13_}VB7ukGD-<73aB>#=CLJ-qo4w%Ri^O_$#!;X`DJ zT+1=;(D+_A_)~Q(W_?5F1VoIl8K!u99? zPu^DN{41lCee&;>Ey2c-j;-{5Pf`Ul4f`>) zio`Gm>Vy_r3$bw5Ur!LFnf5n+{Zg`6Rps!)ta}M{j_X2u4L{lV67*@*`2s>oP^bQj6ZeG(-3S?wT*6demV0JNi5jiPh1&x*2873f=Bl z<&4T<tqmK$6NdE`@>Pd9}MD z6_2bFi({zozA>u)wwAf@>D_RISPKW4cgkgCVm`gs1{w@`CW4N zSMSO*ly!W&DrfsOJ@bq)h*llaF-|=aAWz`Bgd1kLBTu;(c1emYxKyoPP*P|;)?~^3 zPRjaDBt;Tri}QSn86_A(!o@&msN=TdmhMURev=eo{SdwCrNI*tMc+mtSx#b4qweSw z*m35Y>#7V)pW?Kq9SZb!>O4QxDdQw?nZ1C8aJOLDlC4#q=Xlpz6PsESl_@of;1?p- zLs--1w-v=vPt5P23k$d5KCeq|tby07;Q+rijI+lw^LL5bntT+NHK7TJLP#h|i1cOxBs3`^DDch5KIc1UpMBo3O)>_Hxw4fc|^>)*ZeaA8#nLjxEz7p#wr6o5o<(GePI?PS9Lfwi&Xh0{7N9{yQ zEpg8JXG~<2=?cSXhZ9|FeR)(mu=_g7&G%@ys3=L6#Xt9OlaG}0Or9xag>1MUDadsr zs&VV%!`=!Um{L!pRET0uR|o4#d{5$mEr!hJE$?Dp6`hE;J%P5{T5?pcGu0sGjPW%c zorU8G`j4|XKP_)7uqd0g2;Tq1F$p1dxun{LHgVj{(ofP=jVFXM8n$!*_oCH{w)u#~ z*n_;pw&O=s{Tpm=C0hE4OE>x$4)G@j(NZ_oN_7p(<@lTFR3DfdER78xQnYUFQ0#+6 z(oIYoV`?+6-#9b;wP7gHub1=FkyhP^D6=B*h-b$Ku6EPd8cgT-Vn0V1l>b@=*GmW-2q!qT=XiNy~5LU(UukFcH}^0%KOqSp0YSGCHejP zleomTJ!v`iRP3DtQsH!r>WLGCA@Qw_Qn3YmmJypg{C;^iS5ffeYE`$1#yI&Z?fVjE z`q!OYZx*;uH06zKF_BE&?jCrhu9)Z2g4om&Pn`(wqs<~S56^z(=bV}r=j@7NaP#}= z%1N&lI?p}d*mphX;M;p4dY)3$v6_a64QU}2?jd#*@qR;$1o`)*%w3wVYeQ`uC z#A~hoo6EWL>9Ctc52#K${I~0P1b8Ai!)YaxDA{A455J4Hv>sOYo{t&cI87WHJsT^* zrCraf$90{j({r=Qra)Wnd23`{>E-18^_%=#i=MWfK0>#-wEsm3uWjUWzrapfOp$)Vx0{aJ*dKmP#ih9qPi%*>io#$lR@j*70o-!c_rn^ z0vE`P4o}9rCr+hFv&LU|@0`7qD)~J66Q8gFJt?+tIp%;-!AG4pLj#w;#}@W|-=!6V z2(QQfa$0nBta@9+W|~VvBzNzPJQp9W#1Dygb*!T5y|g`Ubb1$?P)7EercaHW=!9Z@ zALpwvKR9fz6)#m#zNO&4S1f;Q(*ys=t0$$#Y94L-Qd>9EA@6?DbZPU{y_R^(5)r?Y zwhh}6_oFv1T_p4jeXTS=&@p%4p{C@ItT5e0@I$@a*`2a4_f+%7huLO}{1_mqpqU7r5#U#n%>`OiK9FeBD%UNl=|n*Ubu1P-uKpZI}L> z{-a>Ofgia=T~S`Ck)pMkO@gJX!J=GRE&N1<*VZTZUU5TNR-Kyg(5k#%YF@j|#KCSl zSu2CO?3NkwiBrYzyThj%<=E;Sd$&V48t)9w943iN#nQNBYmi>zJhvRVc!tJtg#x@9 zRR7VfO?i8q=H8st2{nmmxws*@Y&rb3;+cIRLB-h2Ur1p&2v$AgxONVdi)J zm2{I#iKnRVyG=0a<0O@ zGU4Jc0cSjxZ@HqS!!GY? z-k#Z(S1)IeZn{zZ;3+QKZC2Q7siviQq50uvnv%x3-lUfy87DMWw<$+!&{{kl0rMyp#$I{mn`*;2#@s?p%o=tRiyc-p&V|?c% zSMNo=9#$CDFRo?nwrlqd6u<1Hoe z{q*s}bKbSdW=<9#_3v*F9S#quJaY2W#XWw%OtOw^K0C3a`sB@}t-B9Yx2T)%73b_u zIf^NIeq!Hn_kjm*TPZsXe~7pp@A&-e$rL&L)Ao{19V0GNf}_#fceITr6vaJ!OX<1r zaRn`iced4C+_fuTP^z2!8%NR$_!3V}v`RIWYTY*tWOd9_{NB`yv8RfBUfzi$deWZ{N=abD|9le1q!IVxW4UBcsM5?W`j zka=$z3ZPCH1ZcN}oKvDRFe0zR3TF?a5O!(6J4hhs#iYz|bj!h{mq?wpC=K{<5v zO~?xzlZ;1MTxmRzv{;5Ol3m$w>=7%}?w49stq0aSHr{wV?in4FbFrjynIE4t!>(^2H=YTUDzF1qTUgqQBmrl;h5zWw&;zA>Gx1>Fs# zIu3}3+wAN_+Ro~hS%~`+X~dzNqpF3J{=)5ac?F`OU;on#qh!=}jjF>Wof8)xe0-|$ zS?BrK)|le7*bQB=KO&~ff=Kth!Z;o9r{6$>^No1U!e8!@n|QiUf8)rB*m#S_{df@ZCwkp8W7hZQvN>#*%8d_Wi&OkUJS31+Ug@II-XD zA|nk@W^=bHH&Ys5$})RGM^?k8By=k!Q-3^w2=|_v-xqG?9yB-wktl5qK2(!k<{3fzlr*r@p4sE8t`Zdx4^a>9*qa3*PHd$ikI zVGZJ~p@bycC@Z1o2G`P0?-PukS|Hdtn^lgU*|V)MmA*imKIaL{n3&;2R9A9sYrQ#_9mY*qT;r}+1=$bjiM8m=6khn5AOXU z!Wywa%auLZvb*-EjBJp0ID~e$Q)|&;w}Jsr?%ke|d$m^37_)Hrt?f?R?%#gC@wQw~ z#*cI5_of4w(sz&cR;>E?s$Z;zBQRu#UA|`2}Rp*zBWJ=FO$6K0-lv)MK3n$tNo{lLrhoxjwp6xcQgX zTd!0(A@AM341OR=$M$I$UbILZ%EF_2p4bb~8{bzuhgalsM(-PcH(qDt|AVK@<(39P zK=l2sK9>7!_ecD%45g9GnEBQN*ZF)M{7uhX6xw5@Ir5&_$uW3(dgJ}lIQ6S z;kn!8gM#!df{nS}q&>+$7R>lW48JUNUY1l*Zu$vT&o~!+N~X6w12vlG=r=I3RdhlZ z)oy{3wIAGRy)}7%p+KKV&Bu3PREMXvVd~n!+vSU{RB2l!KS-QZxvm?((5Jal&b;Ew z`$0PK;hdZ%kC^y&okwx!H*yZYrr`%e-efFcGmrCsP7OA^k>h^j!MQkO`Iq?z1nv!s zS8w%32)yNgA|bGM-)J>aZtKp2V!hKZ=Q|@7yl7d%yPU-h(Jwv>Qs0VL9p16u;sX8c zmN_9sgP;*IobOGOE_dpJ+%+|wkPuqAlS`JVrr_e)Bf4+$`seo!aoR_n-ljjb74JW- z-}umFc1pZ&M2q9XrpDmGod;)QE?$-s8%er_nM-c-Km0xXrZdORw97k%@4h*IB8;<+Tqsk1ju%sV^uHGERMYFQ7>`F>eLEeZY}9$ZRk=9y}=9K6YfA_TAhIs)e={^H;PtNFIK6SaOTkyfwLQOM|X9 zem8SsL;Dh?XA%(t8E$Ia%V;{jx8_*wXRVoQ)(DcgVZ4;8O~vB7JyqOXg<`%o?@uN2 z9;)>{hHiLDGtbfY6wll*!gc?w+nviKc*W7m0rYK=dpj_%s!RpTMGO>QXD1rOA5p2d z_vedimC;?|Kh*2AdVJI1mT>ho-r0(-kK$*ZKS&ikDaRf4QpQju|H{n`1H;K8DrZqL z0{QSo<8p*(oN}$B6uv^^THjR-1hNoO>ku&BP2zfaV2|tZ>G1meXK{%U=T%$wej=O= zJI*bXZQTV6eEgyG7h>-Lm0WkoR_nH=-NlNA(szYk?-X3C_WopZdoa$XbzF)!++psO zKmSJUN?*@eSx$3H)MTE^)*ysw@5#9V(<9_J_k=cR6^C_vDbdKcfH{0N|1`1U)Z1UR z{EPdNNMp{nC#Mb#@o5jmSnsI4n++2+(2doP3VJNiELxhrW=XRcOBz?XKC*J-rqHfU zcil|~ic{}gaGL9%maB6QhP_NDH@$z@UU#Ma!}ra|$bDQ~!JWMY0+&v;jf&yD$D0Q9 zkE&sl;u>P*c;Is913SI!`(HYLt`Wp@-+j(7Yk{8pCEJzfDCyJi*B&3|!~GA{9vFtT zJt@QGsd<=jUm+HrA|?{EB25wr0s0lhYp8R}!Dled&gR5-Wl5Iz%W*v0Temfxmh9Ai z7V33RCE@OTpyCX{Zk}`Os_x+V@LTuP`yLDT-A|Sdd|)IZ^63s{aI2e!gjKk6ksRN1 z_1(pnHx!M&bGyA&TsQIs-YQSN+p4kV(ZYLbTXFj+Niyt~%C#xx;LaN@Eb1pwGzlgg-J%T&zk#1(qZC5zCV`6(rWJ{BtLTu!Rq|Ab}&;yP>dam|H zhkItuKWV6)U15d=`2;*ayXDTZyE&;dH>2(D^`~pu|0tL-IP_&AZT$20y)5?pf*I@SqyRUk-e_yV&w{qP7u(oId+WVw9b$n#E#HrhxW>NdSkGM*6 zD9-Mnj4~Q361WNxSM_34{p*jTsPzF{t5qjXZ4P#|>ivA0Cw9LgSM$ct58rMUP?ev^ za@k@KzlGnkvjcvAx0%eP^xYXwek*NZBfqph*cX00ZTk{(ViF%>IH)r+olVR4gf6>T z;w!DMOB_p-($?_`UJ;iHJ-3Ui+8*LL&EVb@`cf)bd$)0u&FXdj@_Ef|cztsXKW^@2 z?mL59_2zCdS4m%X4;IS#&zMh$W(Zy58MvDAF}M}!xbM3}HBJs~ZRZWV z*Ipa8TD$+GPP@i)f%Y%^B5w$ZorbmLX?&~NE*;+fiK|T1*l#;N`A2$~X!L#QNhLu% z%g*^dT*B7n&BrQ*)|HREmng39qG&MhkLeQFxw8ExEd2E$o3xn16{N#4&BU&*{?Fo= zcl52~s}Etp$sbOU>Q_gf@zn2&o0ii0lxkP?;WSk7lf+3JnXF7v!!ir*}& za!oz$8`!V3^3?ESW@L8Gs{)t})z%a~5@YVFGQZE4=k`ITb~W%oeYH~U>7zR0L3%y5 z-x#ECnmfh%F4`P4DN{C8ChoUeQ2g;exOdyDqRE-})aCZ%?3cgTuIg4zCBH=F^m9;PdPQp)VWeW5~N-zqhGXw^6FkO2~cChM723F0omkcr-{Oa_MV4L(0zW zvluD8@)mfV=Z`K8&1r=_H~hKHOOe}os~2B!?YOB)T)ft5wpTvqi$kgY52NNmNxRkP z2K}zo<~Nb9I}$^KnIpS4$87sTd@8`V@~cyD0~HQ@_`9`nOHGpD*L$Q&@k}7(717r||1j#!AOP zBTUEL#of#N=VRUf*d#m)-tg|_;m-bbrTso$Nbu5k?VCQ{7wx@t++97u!-C*>>3_bN zY_jjTTi>yrdRo(=?E~W$JUjMm+PN30@exa)hJA{)wdHsb6dHQr0>_o(uH0kozPI-N z`#<_Y_?2(M-{MLk+C4+2-7P$>kp?%_C5pxOW=%e5^Ywr7??2c$e?$GuqtgGtpEr** zY1ug|sihl#81`%kC>DQi@H>BQd3N)+WlnOO`fvY3BByG`zv)@$`NwfUaB zp)T6Z&+RI$(=+sZ((Z=(p5oN4u90_2PRQk+UJ7JqkBz4@m4gO9#XKl<*@nLLs+ zdCa88+N9@dN@-C_Y5hr8N7a9i8h_qo{%?5ppRjBx!gURvoVNMp-BM?D5D4A;^EWC= zH=gRoPXfIAmqV=zF6w9c6*V>&hKajOYp5>q_$lF842oMny`+!Kwcj zH~oDS{98o)9zy=HuBY35_n+yxP%O^V21*LtoW(1;Jz*UG?l5~(t?Hs4 z72Hril0NC8*K?KE)lsgS|NIU0%it63p04Q9dcp1%%VP1TZN8-$lP|+di-cVx4;80^ zul#3n(0^@|x!Bf{@tbWqlN!1`S7S@(w!21Zb+_mgi*LTEF3|3~`^CTi;6ISJ+UB;M zY2WvHfTb=C>5)*E@CoI}}FoA1Dm?_kWDSq|`pvsVLYuP&QgWKsg9CcN}Vr z@!x;TVsV#!6xZPgDruoBTR1r0&4zMt9E%BET^el(Ut3#?`C@~Bq5}~&6djdKsh7ri zCSqqIRm>MVeHMw8Ns(@RY9$|bd^#{B;GR8IFg}GuDGBuL^l{3Pc&SsjuivQe^2a{b ztkYiN;jxZ$23I1(Pgi1yW!V)pI#t8Rye$tM^M;={)E|O$H})%R#-YZtpPS2xhlvZW z&NwjplcsDEU~_H8S~-?#oa&N4hA16XN_|!Gg^cv%+a?7*T)u|i>XY*Vor(WwAUt`7 zgJWdr_|Ve%m0iT?OY*`Y2BSsJ)#%o`4dDDSn~d`j1MN!_N$&I_4-UcAW5k3pvmrkp z%?iflr6YT8g`a*fb%<#3O+2*~zhtSog?s;yKxSan|G+TcjO94qSgZ>6FNhB+gX>!) zh+)QpItg*s!Wvy^oV=mCQ(NV!bbTqcXGk|Y%S{(bbI#Q5(;qE5k0iuJwK%4VVW73~ zlZU~Ufccmq-0U*utVi`7pfh%Xe3Cz|{vkuw+}y;GNP09dG;~yU;GQDYs8G!kje2b| zY3N{Z9}5=T!bUecX&m|x;qXndjX$568sg+1z#E)VR4hfi} zc3_;cVd6NFhINjwWKpIb6ih=_;h;HX9(x^%k!E$o*!dRcMu(p^qU+gVF*eA2**Uw^ z?l^MHE@<3LWM1VxBc+eH7^r<(zPbA2uJ#OBu)%1NxIBjd>MJZc9_eJDsD8;puWn!V z?7`m}yS^W6AF19!=s>M78LT?`XID3_P9w1FWe9nsO$~90=%I>A77J5~2dnOya6Xk* z=vFNcH|b~SU!kxUy@zf#x`0bA+>#JqM%ZBm0o&N;`#(I~Mh+wTnYxPAYnGbHUGCXx zt+<}t^5dbIs8uJStL@oPKBvro;pf( zwdhS8oqHK$_)UMs0XtVod>Ab@7qqu?2k$`cfDtkcR%YsXJ*~A~?ck8uLULZq98+1= zjXa04GLQ_)41rKlHhuaH4^f%|tb5_^9sgv+mt;$hTX~;q>RBefDmw876; z48PIx{>cBW?{J9GH*(F0IF6ai>}?yGB~jfYVwCD1fiU_@9-8^Ndc~{!g_$1;r_|Hj z_|Qqn6{ZIiJ-%6^-8E3J?{4^-VU}&*9;A70M?MP{iNhMHfS-}=kz*=L{xFaQj+~pU zo#lY2QG-M6i5o8X^w^k|9T+-oHV#uU=-Vl)#9F2fVP!vV^Uvt{8cp2ByB2q@hN#NS zzL;lCE98ekF>Y^!`buFPu7=+pSu9g2rYaHVD8vwCIhN$JF>S20D#J~uF7(BRLbn*= zVGF0u1zbH8nk_b?TQ(_-6cb#PK!+f`JB-uKitx7Lc&uXIEoq`_VQx?C%)Y#NTyo~` zOlhE)6F9ZPkY1=(l9{K@q90sEqOXdWG~}mdqE!|TARl^kKbV4N=If2ZP?|g420@uo z7teX#bGEMvkKM%{y4xy^D4wUd`pcnZ<~BEWdnn5Vb7vBcjAm5b>T7r27~-C zd4G7!*UYaFhuy?pFgFX|=NZi9f?ga>G$dzar;mDG1r18&1QQWfkyXEFid?arqEffk zeDvfargrqPuudDmnnjDD#dC9sA##gMr@I5=CpYz(FsG2vl3QSV8Xl7PEi4c<=s=`W z{j^WYZ8vG;A`yG(3|O{deS2wxzJ0dn(tq=<~iH7saBgViju%wAby=*ZSR+d?bEj=(~ zTS&@cs(G2_$ree7VBGR?*xWg6_ucT&sz2ufAs_iTjtK|Waj#OpM^8W*>txG2%nLVC*iCv#`zE#$w!5e8lcA zTO0*Y2K`3^);&ozb|x&8rf*4|>e=+;!We_qO*B%9pG-RY?KrgHbaI!%j~KUVd_l7X zqzjJ;-)Bx;F2bzTP5&iMT>8nC0CLBK3PEtUL3C-sC}@%BWs69yI-Mip(qmY{thVVh z<}pM6ds!n~2ql<}4AWeEGq1oapOoh~25AdesQUdw2cE_V`B34g^xO-`-I5w_KX~58 zC&?-7T*%|U6CP=$X3_@rrblFGQm@9&Y(M{=m*|AAyx5VWwpDQNwSTy1t^1`79NDu8 zGnh~zIceL4giGfbLF%uk{L(IY>Wsd?%Zl7jI_v-Kf5pM|wY515vSP!`uDR^N?oTmJ zQgdp8T6Og>hH-7lD{-n311WhsJhG6SeB1fDIu=7_8FKLo*kV*R(cbx5Krpm89>KlU zitc>)hm*MuiiHw8BsGHU`**^{dQ2&HHU$qBHwXBqLa{UJ#cwoL8A z;Z%is{XvjOlr21hd0_8|;p8L!JV&T2%{u2GN{0f0N+ z7Apk6{kb%R=Hrw3x)o$M0QoIkDmG!^YmL8S@ZU)?&F9DcCcj$)>={+Bf9-B<>`Y}s zAs9$;V14-dD~A64%`k95jQhG7SC2_*Ow;9nVdS!PbC2y7Ok12qg9$J$|D2Y??ybD7 zflKGWMCS^AP9L)MZun?bP!?E_CCi`7B)VCrZqBCq16a7A_2t}p=fDt3!S6N*rpE zHhLFto64Le>Ag<^FeJ9v!pilU)ll(SVOk`>DB(q z0U+ADsyQ`mibm@;KvSr6^!*s6%ln5^rc!C9^v@`_v1MwWd?DN?zl)Q%#&fzdMpnAj zTZdL?f<)0Xu2TR4KKxfx->e7eb%4v)h}D?#M4G7qTnuNf-dSlm#3A{EMP}tn;2%=+ z#GP$$Y%PdnAUk%@-Z493lnS9IIe6F9=G2(?oUbFD-Y3yyfi?_HMTsNdmb_9cxlVBw z=08(c(^46uHr#EM+Wm@A!UwdXt)q>BxTkBr$)wfXrHGBOGlh`C%$Raz%N*Z)Q~_Ip z(lGyI#*b`ajw`aXRoh?2Vx}sxOpwSIbJmO2v?jG9Zm~0MPe?Wd3zz|rfX|Sr`Srs9 z(2VmY(C7d3)7IVOlTgTtU%`ki(}AC;3>mw zSWksk-JKnOr6cRmCb%jdQlRapIEw3OA~ne?2_Y!*g|dtC7J_>p*tNjQ;?eO4Cn;hQ z!Uj5p$d%OC-IP-3CM_pj(P8AHR8fiTt+;sB|JY+y+ddOZ6W=_{n3FFGO7Kg6Jaa|T zyPBAqpE6+vX{S!iV!fud4-M5CGJ=rm)~a1u4jH&EI+WfYajx!89C?Z9``YXEd5SKq zs2NA9+JX+}mcYzWC++BV2}x0ShXfcpP(+qjK>uG2{Yl->odZL1%wPJNVjsD&7M6^)xIY~=*pg@|GTjro#%FFZ7O7a&KS6m$2?;k)+wAP|cH z`6+cv3jiwh2;|_9?XyjQ+#u&VfQ-G0*}=QEd<3wkg5;cj{f2GL4?qk#0(Ruur?CJu zsFj0mU5(}zz<&O2!n$$$g!*S`27T&hcH&`{rlY8=3fhMqyaL;Av(V5El+E~5iH~mG z#_+)adto4NiGfFfTIM)VZey*NI*OjMId34TafatV^VOdT;M}+MeAW-JpXg^{iYQn6 z(C2J=_FFy3MXnYMT%dt4H3A1@&MtKLX|n6eU+2ViitvqpO|5J}{SoPb?8jD%znf13 zNfTw^V1WtAX4X;Trflw?1GwnA(vqo|Nt%a1Mes2`iQQ1 zoA>nHKl+4UvqDY%{Z%hf^$+c@7)J04Q&oc5oGUhl90HblExbkJGypcYravwwM#*uw`yr_bo#bwgwEGG`^&9Q?jQ%@+Lt3rkMZZUIshJEc>{7$x z4_j!;nSlUa(dHD-nGV<@4yEmseI}d-iq#HBu712-q3Pe!{;OO2>0|%W|B6&=pcyuUIocE&t-gBn<>&bebzeeT;0AY5y7#O z!L-X`xy0;?OZkR}h6EP3@cN`wvyS>$Ak1@vEMGjHiTtfu>s~*>>%LU+6&f+sTdIl= zfk1;+?}V@AYWunM?19x_WHr~c>Ow8j)yrICa05od&(;9j#kQsPD8Hw=XGgaJpV|i< zYjI5;0Y$=w(bIr8%leF#QanKgaCmMXAlJe~?;b`us4;$75)fR? z-Zj&IxNQB;JbioZd{MeD5CqO@CN-cgGl0Un>4(Yk*8J}{_-p9#?)#P?S1NIGqdBOU zeIhjxMeTj<*g!5`E1Fm*)c4NPq?003BmsbM-xN>Fo1JN6%B5bf-Sjcy)@(;G@YtLU zies579mZ1SdfyRZ0caZ&H%kTQo;^{3ZDzzuJ3`O`fCslLotI} zjfSG!uFFZY9G-N=0SpxI<8r*hcfm*OvZ}R8COPH^+pT_U+PW_Q`TVBF*z7WB-l!3` z1%(WEkM{JNHf#ev=02Z{Qq-s&mBt5GPl`i(w*wc}ufa&y3;o%rk^ZK%!$O0rvGR)Q z%&`|SJ-r^tj`q;bYX6dtYH)(cuI8i!x(OnB|mhFaz=6DJyCzSc=##Qv+#aFXJvQ zGe*-d-|6z9A(h67+{}12H}86?slhXK%aVe}Gh%kW9qnhu%Lqfv+{{*ST({-fZ`=OG zymfm2b$Uj;_90{}$bqj0(mD#{g>{Efo%<~@$F?Q%&Jf46Rvo8kZM#{!*5fimmSY;+N}7d#N|4Gv_8W;s+iir zZtj$gJkSMKDZB%7j~jo%ZUWVaJ4#|P;i2M{0r!oh+5MOAlPAFs00L+qq+YgD%VYOx z+~12v0ZVMT3;Pd#Jj?Fqgs8U|T0lTD_g~nBF#&?i?rV>yeg>En?KdW^TU+P%t$y&` z^jIay0+KpmnB7W@2e~G6cQ5GU!9Y_fUc71E+HV#l8i6}vHJNj=<`kdT5*SUEi46#= zs~#hMJ~sAPjES%0N5{SeshrY0URJSjzo+Wvb|h zRM!fYO(Q5{vX#eSA|=ly->nC+sI5utvjUvTu-(sJ*x2zbh z#~1v<;3GGcU4Xfn`6QcnS@o4xOhp9wRJ;PZC^n-fh4hYD+J{v5oZ0h`Ep>MGF)WlV z%O>%G2ln;39RV`ywHNNP_=2Pj0_WBtGZdhhe zXF85VEp)q0{3+%1WFdmCNOS0D5kCTo4?zlb^s%+1j2R~G1}+&3>I`F8FVMeyKE>9E zI&q{2x|jPbs7v`eFf`7#j|=%zq()mfNOm)`u`Q0`z(-b?Qn?ju0(S9*qC~r;3KXfy zYJ<|5Fcqynwy2Ceh!%}1CH}_rAzlFvj-DTfDyQ5(CXsCA%P}N|og2adN=#D!n%qCZ%jj0&exrNbpZjQkCdyV$+r&MIVEC zK?RF-BT7v`Z^Q~zOYK%fAn_!>TQQ(iiVrHyWNUr6ru#D^&;c8{-`HDaBrOMp0wT#S z3N(*S#-IK6$R}tArXpe7E(?1OG_67Pz+xT?%C1My=e{-pnyOZPkKEVn^V$rWHDJW98k7h1YhplS?!8DH zArNC?iN($*=dsHR39UWS@iY6zza3QcQ~20)4vGfNZBU08nniuL12txGTV2MKy_$6% z_Je!&|2qkG3;uohsQMdG_`n7qrfYeMoqkbQ+J4@B5iO(VI4wGQJXD(=I24`I0=|>l ziss7AEgSNBEJ|?*ye%2DQ|*}???qGhdb%VeiSm`}>^B)7O_<>GjQ+dLXB|!?Px3yV zF&zuSOP^_-UK-QxQYvj&XOKQec+4TZpbR%r%Y8z^qAu|HZzK5<9nw>kG^X2r~-08K& znziq1lrHQO1y`d0igj!xNY*L*`sp|;>B5$AMgTGK~H1tC}RJ!{t2f$=bwx(RTAW%R0^Gj zIX}^b$6w6AFXsHIml-?Fs(NBZy844&xTr*0>_f>$DkjWLIA#9G2)YJ24cmjq9|7hs zV)u~XEk(G8v-fACC_mty<;2&L%zy!$myEY+D_)tTK$2FT^KKYok{;)>f(uFMWV%L0 zw@i)9vrpt!;Ygg^c`((gKYZ|I9M$Zc>SOaY3Ilvnn)!S(eUL#Ev?nHgx|{LT_K2}> zRp_`irn#1aJVf$QdbLgOXpL3UM8MjIBE^I|$*glv#+|N-MPCYeb)suwHS1put+{kG z>xsk{yx)`pH@)ZBoCA0-jc*Qw9?|kn#qP!_A&|h>ylqhj8A90rS-o=E!{$Oze-x zT`z{Qh0op$3jig(^IaKuD3pJJKk4DFR^+{2CKBMZfZ!aD%WB(P3# zPu15Wk^OS{o(n1C7?46i1H^Khp_?Ey3rGGRZ*aP_NmMQpj*g#P(j+`uw74j_c?1v{T zC*c=cvAafP@rv$gxh8L^?@-hM=TePNyWg<4PJ-Roa(p$!Pjm$*vi;$h{J z3nD&M1GiXrM$LNkZ!-fTdTc_q05vVw^#3zXnO`?_&3d}9M*MBjo?btD2b&n>rTe&t zJr*L7CG88*Xq= z;)pGyBlGZ50E$!Cp^#Du7b8(X=>Ubm;?DB7KyrYCpORLf-SzU$4!CTSz;t?iXO7H{ zh1RA&Y}j8V3jt)vMMTpfVu74q)zRro^hR=pCBoIiSR3HeGi-_@KMWQfaJj#P6o>IE zAa)NXg@asm8mig~B-_q~(n@Ev1Z4UWvZPjt7c~_SiUrvTjyMb^OOrKl=r3V9-EkJ2 z?Oj;40KBf8Xx7m)i-*Plj!dO)rb&J#06IxRF+7l2xn*<&ZVw>qSll-J*+!6J&Czq@ zA?7(#_vQ*qRY1X^Ffn+1EP$OH*-=bA6`j%l)UUwHj)A}dnJjex;N}Hr3j}Du-%jNF zPjx03P{kdRneL5{K|!cQ9rK0op8_D%d?af zJPj8)*Kf2?S-FSQ3s`SC5YzXIfW#ODy4wLeN~d3Bn2?)m4-F^5Qzioj)M*iqRm@K* zC`2my0d6k8gZ6nCB(Z+B7{@SCDAgwfz^6T;%B4gcfy!t>rhlebv^F=VlT#BD?wo(C zL^#>AQ0)f_0idj7W5aJh1z11)Aik-g3+RmBGyUtYA-<&Is7O^Jb&-<^0K4$zQqo^j z@=WaDY_9LwM@BXbc{M1hz8W<`9vtZgfS2P>ki$1copQtqiL#l5Ib6jX;aLv% zG&Y$~HBW6UXN!knB8C-RPmgx?y4H$e>b?W9xVn=@fy4I5!{G5kfh`u&ig>nqD0gEJ zhdl_xNhzPav(@6*9OQHZ5<(M>Y!;?{ewzlNMm=x_^5HQ4w)M^F|0?iV4+AUZ1q50`g0S|F@ueSsc#P;RP4`5rR!D2dA>zWh8H zP@_e00UF?$Iu^VJ%f3+*0zmjJ2})w}!2!_>8rMDKmrz z$lpQ;dmvxr?4(FO4MU`giy(sPP>dE6AGB)1Tz)J@=A&?=+_d&&Kq%iRMqRxf$^gX< zZ3m#P_uwnHlz_EKah#gag<*i);llta?O8r6-vQS448I)yX3d`w(Qkn7UPoDxp1`s8%nhZEB9#3$c-N$zP-!Zw+^88`C z;TYhY1BYctmrC&`PyWo~bJ>tp zmFCWhzT?d%648NLG)k}armSsx5p3GO5Of)~Cq<6#0E6{zA-XYIWMy1sWC1b;7moH2 zhkq6biNiK+NQj@M)=eE#HqZs08t4?}9z93sq6#nG1_4#XcTOyt4*>80>)%Xi-B-Ps zw$mVv#N?&E=95#u={xUi#e;PFo#j?K^H9i?|h|>!bPW25y^ALmvZaf_BLO#6{XiKAP0lOXGTQYPF zh_2o!_hS7o6Kc)1RfR0ZCa^E3D!M(6zj6fVrgACM-#3*$*iS>w-3FVUhHx!U{8Xgq zH!N0Qs!`G6YWX6vukty_AOB`Le=AC``sjp- zj8oEYR`!wdgery^^6dHiB@eCpW+f2n%078On8(|T;1`jp$h=%-d?pG^6hW&ial1( z=oaz{qtVIgrU>Ax7O6Z5H?F}juKBHAvIz;^4V2Ve_ReBW!q1<0g(E9>I;x_Zn+d}V z6AQMVLZ#~tC4GWAh_Q-NNOU^f(_0$L_EN0Skf8B|Y|+C7YZLmc7rvYzL}mLZ_4myG zwXATOCB8g$=2ehb2L5C@9#q)HQXJjzpn7=FZ3@MnWL1=6@@Jx%prHT2_w9Gu_qWNaFlZ_&CBpow{UA7wXFGCrTWfLxeJy1XDp zUC{4^vzrS!GN@K_#Hk8~<%&MCYKIC9G$K|G{~<&E3J+@xvTHdgx0?h7H$Z4m1U=Bw zgO11rHTYpB8y^>hTj4MydfK`c?UxSf?NK;3($ZiW-UuqR+Hn)CKLTLHAv_ziZEe4h zkx6sTqJ9IehG zc16gwzg>h{xVbs}gsueqNvLN-Dza~)4t-4;FN@Hmw8tvZ@Sp^(`Ky7oahM;2dRgil743mOO6>d_ev3^v?` zjz^md!+Nc06nS`*RCQs7mp5dN4Sh8}4SCUWQ~4|h5xlO@0L+v?!2HBX+uxtYdKBr} zPLme-RcL?`-}QowV$*~e?90ldo7LI;xk|+wXh&~6Q}rsIJ!3OMC7Y-Z1pehu{~JiS zx11TU9s@E7f#2DRQIYdTlqY@GxS)%QVCR}`|0@r#vnK7eWJs?y|5)-)kbyC$D&WQ% zEH64yRj64GWELbk&nrqX(3gCL{6!AOB2mN=S9bf7T5x(S;K5vprauWzYMtsh#%yIZ`COI zFL>(u_WZ0MPlIM1_M8}B3Jx0zBcu^%qZenroE-W=E?32VxXU?;We%{@*MjPk%9JFG zpB61J23wr|hJao6L$fe}!Tg65avT_dTBK#ly2^Oqv8xDr0K?{)PE&Ip1_da@Xzrgd z{5nSRR`nCyKhOql=)w9Y06qttd1j4t* zC(FM@5~8rEUv|iBHf_`i4m7g@;&2+IiQHV(?i%%^a+L5(0#LQ*|BxYnO~FO|hynG{ zyiw1~Vi=S#+ri6Dtz`nK6R@|eBn|`f1hItbnFC^R5&P$!wB83?Y6fi9PsXac{UVhr z`TngGIvEtlJkrp*yZuFCeW03R^S|W_zal~? zC?V}EcRvBtor?qPT!v9=bkfpopuO#Ug>ykRL@5`^9Wu>!)T0E|k_qyP6?_)J%`}p` z(2r$47G*e8Utz#SFo;c9Kt$3g6X(u88Miit*dFu7-zVca*}1&c!8c2iG@qY~QAkv! z={dl{*o?ywQeg&ef3fT!i;z=T2a9lLfLduT!XOSuDV~yZVr+3}LB@4Kp99W9?;-;t zj7bw#n%e{!C4xrvMd1Fk|7z~9Ql!78A5`3caFjJT6&l}2S2d?hkcP4Bn;lrmh`;>7 zbr)=33xKtFof){R4-@jN;sm9Z2`_Y>tZRAF)}UID53tQtU3lReP*tgb+XDo|OKr4$ z333Y4OKAs9&I1%sfc^joh--QyG6D1v5pMi;fsb7)X@+KFi-(*PXEw3r97rgC^ziG< zf!*JPTUE3;~TN50kDvS`G1&u>#!)lZef@PkuH%C1nC%JhG9Su zkP;-M8?vie#q`N!bdj@}xKIb{_xz6>y|9o5*d-lC^)n04u zJNAMOl8!nqjU!&GAwNC??tKh*e@`r|_`ut%cB#r#+gLHW4ZI*^vee_$a`@i8e62`e zm$bFU2Uvg*UfV3T!sYH#Ro~&TBCf4N;O0$UqC4;yU&!=B!P#fvy&U_Z8Q{@EPj~Wa z_&RLgYFOWSo-NYz5^%==)A3YYr#I2`^Hm5*@)gOP^|unnEgGCAt5>|AgLHW47z*G~bqOifJ=b$@`V zCw`Y70^WA%j9wjI3{Un-l81D%H51tZOrGOn6 zuyMAwFzJ2&`Kcb$n#Z-$V*9~{LrYJMT+c?LV_e6&IIs@$s1gB}prZ0yZlaK5A&+|s zuvd}&4xW9< z*-B+H{QV|AcBh&<>cDGa@~RIVfhR-`fQt{)vDR4e0KxZ?@AKT2fX71%Ho%Ku6%)mM zhk82j7sXU}yMbpz9X|nh?7kYLuh+nLm=1aKiI#zuZ>s@#<}8}TMm_&KfUjAA*VdS? zF_Vgq(*K*Fp#KDJ=HY_y{OeHPe*zQ3c)))O|B2(v%>{u$|7ptoPt!jEIB!C9{$~Ks ze-H5auMnO*zr&Iu!d^<+0!Q{fd`JtD1Y(0C;#vY(ejt`6{H;|W%LAc>huDQ@xq%Ry zh;WziJQpnw;?QAQ;ACRZpHP{!peNScwA{aYKe6Va<^I!5(ZSYG+1QCzn--)fE(wGi zHFk5N)dga0(*AR{@juagwfVqMPJZ2gaE8JoeZt?X)#iZ$<+M;l3Y=N|R}R9<#R;Q@ zLVz*|KPQA1$_?g(((>~_;ibI%z`4wPU|vpcS|~psCoe5OFE@~ad10J}#KhW!9-6A9&0+8%4DTGI%y(vdXFyw!c^1vW)di<60^Y9_$4-O%4+BcBilt6(t za60k;?V)^7pbbBQmT+i+u(vSy`hnvNtS&@LUVeBv1Pp<%A07zMo)2I-eEsmi#TU`$ z_sED5e&_jtkiE1J7#Cbn5VQQA7tx-Z3kFPn0|+AJLoCc2@Ndxl&-~vdHv`|u<==T; z9=PoNCKzJ!n_j=m`GDZTzlp@p4@c#u@89hqh&EtAv2fFZxnYQumy_oY)8J|k!JHdJ zZ^pmL-;DF0`J0meIpyZ!;{hoA8x#b`|K|?>``X__|Ni;A-@n)VJ@>!Y{9D(5ue#yf zP5SRO|JI2IP+EYUxIq$nqdyQS5FHah`zD23fZrUs5gbH|8?b&0(T%_&MEeGjo0;K? z9SGkHEJT3&03iW&4aAIw=iwZO8w)_~^K#R|xWE7y5P&tz{CI@fD2$ez%&5! zA{NTu*#2k!Z~FbMZU4^y%@{DCO#zJzPyfgy++rhS@H8vOS%7xk^je)*Z!X^1q1?@i{IuHFxP+% zfk5G^2aqqI9152#J^%y2Tm!NOhz^kFrv(H04Ujm%p#{oefc8O{V8B;G6x`@8Kx+Yh zF%)jI`FSBgbACYf;GQy~91vNc8<4`K3!Vb&1~CiJ0gzU1gdXDo+}S^R=Xd_!wLO>@ zSOtLk1c-!iwc(HfniiM@N(+X;T?GgbI0a~f5FWT7^CJ91pq2-YIRpaNYrNc0fKxEQ zWe30kNDh<(^TN#{7>+IUh6!+84+dN>UQLjYsJ19zJcBF+QYGdSlm$|R z8wUnP1lj?132<8hEWrRb0DqeczAfTGIJ5kKZUbO}JEQ=;;nD@CG|&>@0I-GtJb}>x ziUAM-!Pgd?|A3bV;0qXh1cmtk4#D7#3S1Cx8o*UK zAPNBKfT0k1en3D0#sHfcC_q+#U4Y;Ns|ztPH#ZPI=qCHyD*@Cs1dwb54S;$6rpDhG z!Pg3~;($TnY8dg0Q1QHgBm(OIK{t5mKlmd`0e2mc3dGnjUWCzr_y1R02%;Vg=oWyR zz&L;${Aq=#gG(CF1Cjroa&i5Ohy4HAlmmw8_e$YIQ0@0#557_m6untR|CxsX`U|cH z0BHpN;iJI+5$h1(5a7um*5Lmwg|9>~ptSyJ_xJcWefR+l0IV87!~6r^KWqGVJuus! z+zpiQ7Jsj&oBF@%5dI~+)lJR+OZpEq@ZaB>2H*~W6(apjH2_Qa#_M0Sgx?tXtx5QJ zZ$u9+zrZFFp(P<)z!hQ*!p%7#BnA=YwH`Zmxh$2R9!C`p+e>wf-jyxchLp z;D7&pR4w4Hm!lI9{mUBLZQ|7tx+2xs1bX;9!4!wIVT1V;gPWbJb(+1I*;EQz0+Q(4 zS&9ch36mSv))r?%BCn~*k88c*8VS;aGq25>+Mj*TaxIF(wMDw?c?hJ`)$sUSMEyR# zeaVT*2X@hT;SIPSIlVC(R`3w=S>6h88`7pV3m7wRt`kl;9Ympt*;(MO4+eU0P} z^+dwF;}@v@CQ#u`3Uz(Q56+z#5iAt~T6BkRB}mLA$P4#hKfj|Q@FXKbxD05S-}lhUy`vr9HSITM{6+iexE?~O8A4!=M3HF5q)DiT?}ehBL9^Is>`Q~Kk+ zBwy?=c<&n7;Mv=uz&ytJwUF7ZHyV&g?@I8gE2xtpwfE0QiM*+~y}&@TfcK>YGqDEk z0w#b(OJ9hARKs-S<}c!hc==sPj8jX<25_gXRY0jg_^4vokG zu1Zhj>na^VsnC$jUf<|XuQG!cX~67L@BOr1^Zl@S4$G~3q4zZBdMv-b5b2(ai;J)x zGSb*xq$BV*jH`Z;!LC~u*)hNH_itl9qG1XpuHOs780&2%y4b@UZbM(d!>ADZS??o! z?Q#JUTbxDG7<*TZ(p|5{_d4fV#g{vf<2q1(i^k&DEw1Oj(KMKTmr<#8kM7nmccaXk zZ67L}q^jensJ&5qGiY!Xu{R@s>sBaJeMnr$?fTA+Cgj=KSt6vJ-D1>>t8YJMn0EA! ze6>_X`F!Qtt`sC-QnFYgvyUF=$#2(*PhBfvH0fJ5VV%t2b-uYH6o`y--9GasCFJMD z;+?kZWrh>p#p~3g>zuu7*6VA*=*Z-n%T%A>YqX2&6Hz?ABRyYO?_T-&k?w3l+}TY0!0RP~h(|6_F(G%50>ni1ayCFH zzZT|@Pwc+4=c148D_EoYS-mD0O(3bi4SVFrfEIq%_G)hr$#35G-Bq9)vPhUO0SyxK zDRkZt6Uq2WR0k<->d^{=(yDFqHBs&v{yZAe@U_Q8%4`T;%>5>n5# zr0;v&zIpvOs7Pqnw`*g+p55`vwY&tKhz%_1?|h2-Sx5T_$?O_*GB7$v)4n?}x(k$o z7Hr!uiO%;{uDdS9MpkK#yX*yO%&7K?8en>ofmgR{BbW9-CvWG@pkA7H(mq2-E))Xq z+(ptAqP>=Jo0~tvU-0VK0VcZJcCK*pD1+NIP)z^c(4)~aiD%a>zO~cOit1}tTwls*SE!OpQIS+jbvKKcq-J#BF>G0$HC~Bx+Y@0rny&&kEl#3$ zN~K-~Q!E_6q8U!w@}_x8G{nT0thn5I%d>6osO7U~yMAOVSyf1;ae%3MB zT@Eh4+EjWPs&`l75A(NJP9apnrMcy*4WIpv6nQ!*GD)q;RrnQnhqh1?zg>AaAS$4dwBqyKXLZn6H{leiyc4{sRDoiBE zvL{|DEP-ynH}?!Zexa53FoQ#b)^tlIuiSm^ZF}EG$FC59Fn?Xo zSKVqart&Rn8#|=%VsupQd>z@865G!ClH1!yP@*R|`dIbHvAJ&85lMOi&I{=R!EIM1 z6Zd6l2M&GQy?KgXw{~zG|4Vo>tg)8!b)uhgF?FF%yzPFg*Ot;%mF+#c^5^W|ozKar zZHz}W9S1p_eq=NwJtR!FVPl?|3+4J~NAsj9H+ugkt$E#Y#LK&dV|KYjR$LFt!izGn z&^l$q+S8dXcc<4fcC_Mj?8;0s-1bl>3MGPGN@Q%m)af{RHYR8og)gJAIMZ4WR#IxC z(yz5&_3E~cdQN%ok!_4A{Xz;yD%~CV;Rnws_|pnWaf66>-^8+F9us=WiR#}@?;t1` z{kB>0<;UF|WBFl^y&N}TT`BLJ^j9-06#Be6!_Q1&x=s5&fFG(&PtbK)tX?z(1%~l6 zaJrb-25b&I%O@$+^3@F(p;$N0ol`9n7&Ivl;2kh#ot4}one_ZrH9~W(JB};Rl*2r4 zqDv)6{cs!v5lHS+y5_2En!* zM6_ZRd4W-;J8_t>{NpVYM?hCL>bTA;Fnq*WZK!BGYmENxxcU&gE^FYkfiI8equKUy zqtYgxa!ip!nMab?Kh$RN-!0b@$vh`9-S040z!akUVP&%V5Neb|X)xqNwjwz++Dq%Y z17QkySz8o|Pk|NB>x88qeCyctsqDn$L-D#!Is@nf_c9gnUO&3-9@+;`%v`5O=b7vm z_h6Ad%$98dL3aXhjmbaik7eMT4H;K(aFUMn z_^)y1?ls;))kvu>!cVkiQoquD%6w=oV=8*TCAS>ql6hH5x4bTE()p?*veO5GDJsS? zY)z2(i1`;TjjLWe-;0B-c_VFno(O6BeZ{bHoaj?Bb^Oue`)`GPs_%il?%U2hkHwh zE5R*Opy=A>Q@(Sv?_$Tp+pcOI2de!tX!qhi`Gw`I=>^e*Kh@h+O=O;*Qe)L~&}H3Y z#6E5_aqzL_dQXO3`f&IDJVzKc-mR))<}Sf&hhMgr#abDpSNs*SSCLpK;w)bh^G_Jl zyA74MqlN9K!EJ&cC#`Md}(* z$d>4TpqnIi#d@S|DO5f;6&r2CCv0zsEg|RL+Vov$Fe-O$G{D2?Ykr22JgS#^$0HKT zZOgNzgSw+9XX?k}`qO&xlJk6;AMF=jVW9+WA*rdbpLpkRMEG!zzq82fW@<;#nGp6H zG5Sh=p6ETkH&F$_5hiE7FT<|^GF=)ju+1iq*@JW-&!2}%7nM&HS^M|xt_JnqKU>Hf zi=3L_Fny=`-bqfl;tbVI31@!j&^)N1^g+TyC2eMf?Ml^_-M0_(dnQn(e>#jyp9f)# zQaoQ2q;k_|`b<34_x9S$5BlcE{87X0b(cLg%(bbl7hh^Euvt+O+wa>9`#2R}X`qxp z%(T5CtgxPa|4cu$@yJ;6?axA;J# z->{zw*!2t$k``hyqUP^$Jn=R&S;(y1cI-Xmn3oSPn8|KdmuPX0@L;7OTV{t9v{lyM z@iKp-it}E*;~SY!@5QaK%9F}e)q|iiY7HSO{hnf^>=WUNOEVVMfOuq;ULxkcJga1q+GEV`Vog6Zxj2C4tTupW3P zrj>&|Yex0ut9-s9%$$4iW^p6wtW&z=liK>5UrXi>_^S6lR5_lJ4ucqLk)aZCOV0>P z{Rpo!F=J--itaH4E;a*4vF{W1gZpcAu`Tf~r%2?KW0z25wQ^5uS<9}(1A*85Yy>8; zu6wpWp@iSq?LuBIvZ~%-UuMDfJ?5?ZPNMjFO2IM^ehQTBCHbKjN!fKG93Z3HuV`@G z-KLoa^Lwj_$zQI%8s;LhB4)KRTcC^?J`v>m7{?O5HeI??*RhCdaG=#E?0uFJX|jPm z)PS3`Phol6Y@Lx)90ppvO3#{Y;s^1d5NFX3Tiu^PyN|xjv0}>K!xS^|@=HL;bRHwC zaB|COyk0;5eWm?!mgeWIN_lH|9G=MrWJYTt$qIVsLYUM%1B5I;STyqNUR-kGYiT2M zF)Iw4wWt@5_@!#6At&~m+N`Y2P<+pTY;N3=pj=hYo2I@J*C%?1Wg_?DyLGkeXK`y+ z!`5#_B^6V%g+DLnbgc?k_O9sXUS&Oe>reY4_ndk4@t9iKJNcJ;a95ks#47F&kPJrP1mv0NMBs$?WXl1=Ra$SI>_HC z@>Fc=zGWwqK~_|0bh!sHcv8MPc<0M6s!8*+R}ypcjHMsY&@KF%~l8I?m?z73j%a&Hw2H@-Z)>**Uz+9$(A_~kjZ_fbT= zRlM<`4%l&BXccCpJ~xPRSPe2HeW$FU=|?leFU3$CQ6_n^vdDIK?R9edIS=EH&Tg2> zqEB0qUg@}Lu3WFR(%bPlZ9K5c_@VM;7Id}A_%4O!m*m| ziG!aPwK3gef)Q)ys`~Z<(l!zv_b`Dk-(G7M_kN$>s7@K#JXzyGnc;<)_Ic0W zb(sG6p^r191rrNTSL0i>-Xr~17NN;qxqAZ|awAWnfCXlraw)R$Z<>yAsz5b10PV_)^gjSMFeTnSB7 z^HErEbyi?)l~KbePIDLE8k@Pu=r}DAXu)jk?QpB|+ALSK{2RNtwHCAb(C6N_Wh~FmDN(Wdh9pVfSU26 zPp(3oX&hH6r)uM^Pd25yvTnP-U)pFHxx6rdX&4L!XKJXGWXjUtAKCX7d!YFUR}1?M z=6!hU~fo0OJkgUn=?cAypY?ebhVgRG6_uQ{b^ zag5Z>Lc#_KmDsY0YzBI@Vz0~hcg^?Sxc8NjiyALA6(81rz0JF2CNHv}TlAzrwslnR z6>A1aaDkn6lnz8W);Snvu%e6#gpGsudh;-e2J^KE>d+<6<3qZ5jK^T^+b!&U`}yWS7piifOP8!mxiTh=e%pB)b$Q>A+G=t*J zemwj@;j&f}r#$nZSMRj9;PGeIT-Mpj`_sEja(rvNh`5T@i9aU~!9L)KNNI{~ujJWDC z7h0$-M8B{4Gg_l}UiQA$VniF>TV#{M6yNa+WB`_5Ai7|ifZ_1zDep>eo zkDj&D`zphan&o67M^GUk?_-FxCcEMX+C8^qAGP zJ}+{}z=*4RxvW#tj@;TH#aC25w;{29ue?jGXVkH2k}%Q#h)9$8>SSlyU^HJ_)2yH~ zG}Rev$EiCx&Hk5LwE>}c{|n@l33f97;@~nd^iPFGNo$)k3F!$av)Cw?H7H-Qb;EEz&`Xj%!Hkbn+AhM zWMJT3#MF>AdLxD>>L;I2FMls5$5-Z){w^Z&l>*gRXJ5qd-FW8=!i=WaW`yt8d_^nU z<2!e`n_5Xk7Vx=O`xGU|?SMVw{?WNn<=KxPwspxwk_5kGCA}ZLXjov-+z}e28_(sL z-C#SaJmvmgx#(!1Bu92iXLAnf!Pvw}$c-5Iv~IAQIy1zqSW;5G#S_2OW~lu^M_wUi zpMkz*LV-Vv&E0AZ+gEa*y56k1LEE=WaWl3Xa%c3neFN9zsK``U zqrBG~-iAVZ{!kzJPtNBTHpVi*(OUy<{wIw0$Og5`=Xa2wXTFEP z&Ng@ZyS}uD|4Q`GJNVGkc@VA=pzcC>SmLWsmpGq3BX-POOLomuE~-9(pS8DdpfN_K zf%&b&h-q+IuYf%2n6LvwiG(7SnO=ulp%W5!l!kwO;3=2*+U^N%$CzR4iL10qfKC&HDnUXdwdSq$K_{NDj7|^O%!Sd=)9clsNNm}l7nFj%ULsS`t|5;%@sTDJ3ad{o zd_x`!svPQ!T=<Huek<@u6jApBJ4PL+4}pNcSB9#xs^vL7)q=1KIG%( zs2finKJ7{pEBfZ|RfVCsGWM*vy_&2-;NZL5-n_)|mxR4~L$H?blRb^RBuE{5-} zLy!e{*TcKvGyB^SyvUbmp)^-^m62LUZ=c6Xg6G;iR4s9h8v6^-kAvHs3Urb!G_Gu$ zZ?{3dOSX!3y)3TtFz)NPZdWO56|)Mt~kn7+b~(Pi>|BM)t(ixvgSpAMw6oZJTCxn~tt zy8FkP%MW*lowQNgnk(Zx#SRecqDXz%NMD8{5X)YUe>|);_#vL%lI~5Lr4X9$b=KWR zFT=9TA?DZymEL5#(_)kSA=s)j$gGYK%`j(A# z9Ug(p|&rQEt5!PLSLoS%WZ~ovwooS6^=TmU~!Lo zD-zm6!zV9eK;dFWNR+S7#TmP9u;f1dU4dNekYFMg)k%7b%4*&F@`=Z%#HPb{1p05= ze`3Y4$(WzL9DjH0VY4xDW~soY`byGoDm-H;3MFG!P`>E7nkC7@g}1rbP@OcS2Y0pOBKwKp5#w{PT*AIf7{rRx837MlEsxSSt>zu;gU_P|j9Q7X}B3$$d zHN$!0OtDp{-C-)!Ix&yOAebgswP%Jub{ z>y+5vGpn*S(M#(<{{j8`=`M^@{TVGxJNpgXf~$w_nOhN0a6v=6-xmc%-L+OE$2TKs z!t?bd*$Syt_*dmn;^;zWva8?uj*JHLYDIS9|H%3{+>;^uEc^=&6fKLGDV|&Pa~sCX z=t@mK48l%AZ7GbGYt;AJPR)Hjb^gjRRC%Xr+(b^G+UPo#DjnoO2PRG}RMnetd3n~C zLRFFY=B1&asvJG}8^g>IKH{B)vt)-&$4~(dnt-D&t8EV2q)cy5bK9jzwF$)q+_Ti$ zYre5tUX!Co!IHrntK3 zVf?(6(uv?0eJM4;1V`@Tx{8ZghC3Jj1Lp=-9i^UnUsWVh?Q}J@qS`k{uxXxLAhUS1 z9L5liAMjzIRDQ@g-@Wx!`ms5(L#g75sl=||B=(CVwEmgC3A25=7$<2QZ(k-M!PW28Eun!yr>_dm*d8_AOM6~K zvc6As8GcIKKd+9~y*}{dieCK!m7(ynR+ELA`yKB?d+$avYo{t$m+I3if0|t0P>#ak zLn9N7)=!fw_K(b7`DYF|7g%Au^tx(DE99zR5OPEvw-zrG&w^$z&Fi~J%n85#$nNgi zY12EDug1Ll1$z7T+v+~GdrvcQtYq_Wiv%d8EUG-sL%-RrdFHJflvX`W>o|tF7%{W_ z(n31wH{g8a(|9Lbg5Tu;GwP9x*?gpz*PUmR1T@s;999Vo4)@DNQ5g<2o8w62NK}Gyzo$Cb<*~BmhG2@yHh)6=03OZ| z(^kFxe@?Gjz;&s;?#;H5v|fQgP>bA0vzT4BWD+d_=S=EK zrc7Q-eH!5-=n^F%n4pH5_Y>;@2gS&}np8eES+cBSmp72PSfe0PsRQ3C# zYZwAV-@DfjRauIE#g*DUz7M-!;FK=QRXEegw9PKn7-Rb?DMR4pNvVjBfG<_Mt2h3~ zOSfB-hH9u9k0G=@=?SZ3eQzuXj+dY0v2PmGXB>3*=26W2$XoefJ*d!mUveB;xb&99 z$2ex)(TOxHccY>H?T7f}r0x$d{Uw#HH_Jjnt(P^>X8*twyb9C{{%_&DoF_wH{C**u z$W0Brn){Z2sdMVuRXof6IqKB=Gya3^^4(^b*0+)j@s|z3G0_QVYZ6q@CaInLd`h|S zfPt~5z*q`=vcQILjP@7OuB>1t_tux9(k2fb!BqiHVu?mQWpSs(FUcHw3qjZX^#kcz ziBkq>CiPaST5_ciafTIV#iAtV!`hCKMEEHg8Nbf!yUnY`)Z99bu2bOGN-_sin}Q$` z1pS@tpUPXXy)uNk?*|395mfi}Zg*tsC}ckL%EQ`Ooe-5jupPAiEC6oYSvgTM597MX z^Ux#0Xq|-C=baz8P#*o@x8**8z?e=C`G4`~PYIzR9nXEMpv~-ky}}>sYfSL8=NR$sDG2P1K4~@dL3W zSFII|anW5$s%E^*ShNRyYR;331HvT=y&=?M=PY;QQ`yyDZzxS_*Eh3~b$-W;?UIKm{zEnb!qBz{0M1_5<3d+YdJ3#_Ap+Z5}D-6A*5>X>}-CMdS19J z!U&l=AUe%Oh3c_CbwjqMl6C(KOUbQo(zp=);&WbR_Uxx(e{Pw^q=BT?Z7YMc;lLCI z0_$o|eY)P0t7DVQ?Fq9|oMLc;M(kaIv8$k+xM{}am+{2*ms0XPD5Xs83qEK%sZJz9O*0^NVE4JX-F8%e)@5WAJG0mh4P5 z2L~Uc3Y%s$<9ckak`Tugmb|6+^LeYL&)01c4shwUa)_jo` zq>UXASF#rO-bv4!Vq!Y~ZrC7Y!@f~sBNNVrYvg7;ehSe-!`6qM9+xVTopj=)ewNm> zs<2=dmobN`@w{0X-jV`BgUd{k8q`DY{x|CLhjrX|=yZu5yn@wKV<#*OEIZr%V%9q7 zPxJ_P9KMY(&78GYP}7roKZ#g=OL|Up=IOuWnEGq2J)|2XMNBF#$?)~9EB9HCfT-2+ z{Ci_ply@-FX;yiGt%;?lSPAU?LA(qS7~VrtZ$3BY1hqh%(dsBt)N4m^E|+#*u(<}^ zel+t7m+3sB3%`K#%Ej3__kq)k>)35&iu(h4Ck*Qae6t(TlhCw;x5AAAl5NBvinWKM zd}K}Pdc()V*0ur#@$Ent8S5Pe1;$#c#tU^!IFTTiRn539u0| z^%o?+NR}A-f?KYda9?WPywEP5R>^fiS+T|ZVd$DRiaRv@(^#40j;d+Rz`L?&mJB>q zWp&iv_5O?b-TBojnE=A7kEjnmyvr}ejJ>r?zummDE&K)PXujGrf<^a3IThN-VsTb; ze38j#AwK#T^+3(6Qty_B+o~$R!8>ym1RX+laUvD#`Q1wPpv+Pdj_ldVTPD7y zIfBXuMXFdnePEfk4;+<9w$B~>^ObzvgPkfuQ*dV_IQ5sa8jDnM%;zKW@IT$7kE%*x z=zaFkfs&w?ani?uk^7Vd$f7ApdY{dr2g4Viv?_V%oqu9!jn%SJO(kOz2&HMK?;TKc=q{=$uAjQKj-Xuz+E2V|*QVnf%l28f^|ZEVwp+XySM{p5JB9TtKa6_r zJ<;n}v`n`rk=^y3YX>zf`6! ze&qF}zcYMIM#=-U9oPo@>T#|WV^Lr__cBoy%O>&NcV}gi%D8Df{otWlpDow${nvdM zUiWY({qAPgjlUoGQW#HfVbmJ83}QQ?b*s+shj|BDkvJ@VS!4Byl<)rL?&OG<9Op#b zEHWRGEsketsC_y?+2e1hPe9(QewcI5+_pgAxtrQP7FOpV;RhlmRa5B-s`iU18&NM6 zQ*bXwlFWwwQ9O)IbwKdR{-yAuG+x_Op-mhoa!l8N%bs9N`D62xX36ZgljZ|R{7l79 z95&uP3W059le&%HQVAx)-{t$TdE_u2fmHnBPB-iI7n4IHYo$C2TdbCJ+E&Jf0oN_?<5uiv|m3V)Rr~FOeAk7;TIdvZdpn#*g1zNK6tf3@+Aac zZpam#JW!*1R-Yq;En(YZ^?;t;`B~)-ZN*aUbiIriQlU`QW%%SlFDa7)w-3|!+;{`l z%5?WgyV$xj1ALLxDzb>E-p`v;dNXK_B$3cHpqX<1}P?+7zr z8ve?Y7$&0QOQ&)*j#pH%ar|Yqbq_Zrw@SWEYb!}cV11wb6~3j^r-hFysB(L*YE*UX zo&+`;Pcu$h>jY`itlv^QANfxym=HcQ9U|Q}@pyhb;Dy?eZm1YFGZWq$SoqZaJ#7V~ zCqcXPN(g6H?!+zZqqn2_No_lN{GG$E!?#MZ%4IL(Yoj^i$9w&`22$!IMM&Mw1zwTY zZ9*Ka7YjL0bA`*W3>F{Ywm_d&9S^KziwZdyyy`&9I;0a=?k7CT`rMP&-w>8@pXt7O z$DkPOac>n(KgiQ1sijT18l}oM^JiddhYuFZY>W|U!)4OadrrKXx1@9!9rklxp>H87 ze!dsd6EczhZ0ca>$}2NQz>TMd`2@P zg?>gU5>=kbe$7*@jm(Unzna>X(cK>tu2+Aky0q6~U^tg&`{g|qsX9etOJmyy5s- zScnl{Jxav0e_=uKvEJx~c2iE%?TyjXq}rc%3*{ZTX6v&+~oPmJA( zt&kbCkXMK9j2fD$bkDpgi{D2nVzxXzr5D$oKsK~rij=B46XmOZu$*y}nzESC5MjW6 zpUagjg0Q^}%@g_2BxriUw{<>V>Y8L?&P87NQ`Y#%XG8v)({`@63p*H6bXXPaE97rS z?)y)fX-Cwt3e(9(7=b0wg=nma{BUNZF(evS>dq;cSp!|WFn$d*{o>Trz~_L#e9riG#vU7UdgTBKhB{J?clGg< z|56BN2rri0^qGj~#(wlw)Aw8Az2qMs>fJD6U5D94oMz(oPopz)tPBXE#@$F$>k=cBFNo-w_+2qHSpqnK|x9qWakD1p9y6?63w1}8Y#p9Dvu@r(SEc$C0Fr|Kh2Vb-wx*s7|M}-Z)5sqI%wK{uzh3rijISGX-&Yq`M3NLq-W_9?2$jiKw8>d$r7af}1+W;VPJ_89Sp z_a9A2L*L&q>mJzJt*Ogvk|cD)U`n3qNUJ|wFs1RjZ|_mBGk!Qy8#f#%XZV(fxt+W; zWmn@WCkwMJ>nocie$moI=nrtqa$ME!E&P~_EbSLCX=+@#lI6xmlbMW zQ!5$0-Bv69w$rPH74|56xA!RT=kOp`qQi1_TJ$IV(uTy$lxNve=VbOj_hqN*P`N6{ zw;ISbNjYwq)OJ7o7uoJa2Z1p;fLx9|4P-^t&@XsF(_M0;?gas`Y zU7<1Z$-cb!x|j(T%X!q#hG^RMyS-XZm2HAI;_zS8Y`4E2Ad@067-z1a&C1Htk(`_5 zxv0_%@h)>S*vleAC6PyV;=JQ&`fgEK5kiBtW!)fAUdJ(2ulDj`lzE#hP%^2?X2{0Z zYUTLT>Q+Q6CSAYcW%xUCtrwC6mQ%MZomWg$(z|e{`9nb?znCboE-Q+%Ki{3~dP_j{ ziJp^$gUdKVoG*0UxMX0WqBPYWM{Su@nPk{>n49SP#mOxCo+*8mRn5UI4bIj6FrQ-v zMe)o5YSYs!qX%_bjg__YOXj!nxMeojHrHQ&7Kd^Pmaax zb^kcwDj8&Ynb+xXC&8igBAQi1~{nr zX6Eyzv8VY>iqHkq>M5Cb_F;JKvb+4fkKa-U#~g&dn2+GtOE4I9I%5^rjrU9~AS3o|8^pOJ}gg zYO~4G2T*zU6gJaXmK1hrpZ2vVHBpjrwUq1XI)kyrd%!C=@{wE5MI@|RzEyB%|ICon z5Y@pFG50zB5%P_4QkBGz2w&}(X~6_IdQ0^@(lJ6cR~u*5L8nF7H~SS?oU)RFS096gPdG#LCzp|kO#{RB9i97^uXtC@W666|+#+R>0&uR|~A=~Fu zqq?Kiy>`WGclTJv=r_{xu=vCAoAG1On9V=G^Y=rdRSc!UB6%=B%N3BWlkVFU#{V=; zT7eve^OS}{Mw*%2nO+$q(}v_Lp(S>h{2n}LcJoa}C7DW-CP%};Gz)wtulOxF zl%SZco&ecj^qJ4KT?51BOR-8>Y^;-$lbyhy4^IiDr8I5y{P1xW(YX9P#G6Z)vqVdYMJ$r$Zf7= z2{+clDoQXt0}TqFS5pSfonU9o4Dr%gL}on*3N=>qpJcl~ zHI-%;%hX?V5o;jLypXl!gW{XCjv{qZ-|w4B_1w-gL?66SGld>G$Au5d3Erbgp(O0D zGk&c|B7(+zpP7*r+s^|jt(JhvUmrR0Vk*5(v=6k48zNFB*hoEV_ZXD|%h7N8duZQ> z=eEp9K?eaC8P~)o%VAh(C}T~u%zo5EgcwX`-;OD{hvtg*<*uW-^!*riOfE!_W{Z~f z^+%w@CQ*LXXP4TSt`X=@Nn#Ii;@qzkukPgJgzliHouUOHdj$|>h#*O8h?CPYGGbv} zWM}%u&Dx&Tee!rdmU?j2^a*1M8TrjgM2p<%mC5|2DY)Wl0~b1*O6WuYMa4z8yY##& z@S_uH@4;WW{*GQJcjeo3-PLt1aDAN;otN-=-S+)DDCim!v${d&^2%%qr|iy}39O6| z%7$`ntE#-BPg#KbHN?I05}N0aGQ%E*GSz>mAN0~auhA?0$b*Zdd9?_3R*etc(lxNl zxz|X1wEhEm$KS91y3u9?Z{ESN$Zgtb9g0>np645^;{TZ7sBT0-QJe%xlCHr=9NJR{ z3q$HlOBVVXa&~pk)(`0sm46jC@>Jh#G=ADQ;&mRZIA~a7_ZtXu*oKflVL3WopkGTi zw;-c@(6h0r1BrXS%dTb{+n%A_c_czIbmx%rRLX<^^kC1#-dCYlZo)U!cZNtY2Sg$U z<_+?bmf(jIwNE>f&+vprv=AuB?PqfW z@z>oBVbeC2tx-OSg)=_)>E?c6Z=!ppeS~HQ=<6R0p;zOU zo+C>|ha~Xl>fIX7Rj5m{9jq@McYUU8dA9DHk@Su8gZHc~SiTs$;N2{9c~|O3)27F} z+=NrvQ^yR+{KBWwnkQFDi=wRf&t~N_6k!uDo^Y*N4fxhhNcZiNHtAyA_F&vF>~#Hg z+!s!%iN7M8&enBDhDjraYN}{>fn6a|>=~z?`+K^ws%8(QzGFh!E3Fo2c%oo9*7H`Z z4nbnHhT0?*vsKsB#!bPtVVQ}eq?5?8XUF;7ulhEohacG3B2l}s(!Br;2arXCxi`LK z$Lyr1iD1COT^IyT`5s^?SJPqeLi$vp%IC4@J>4a7%77uefgFsHn^%Zb7=iwcXoNVS z&*?f(>bRw|=lgf>d&e;kRJz4e1g4Y2i}-5CGMAnea;q}aXlT7RdogXSMV&O%bsWdK zSS-1u+@8Q;Ft5)6!9BI^%Qu;)K>Ge>!BjcUH!p`Wm;xr!!ZSw>EjVH2F*O zw!2vq(s4jRf+S0j*b;v&{fiLP>;J>pJq1Y?F4zJt+vu`w+qP|W*|u$?%eL8N+qP|6 zw@#dinK}2KxiODBBQpQUeA>CcSZkqYH>FHW*$Yfp6{)FFiDTXORri^MZgFDS^l{zZ zgQFU`l{6fJM0@NDCrT8$q&H-_y@uJ`I3b*^2-;sVET4i|wQdl^)(|xgD#prJMYWS1 zD1!}$oM`POboaU~a~{)2HUvDtP&|B>zQok@53a(Edeoydz4YQ6 z{bDz`BZR$>F6(Te;Ao@Sx8ND=xHrQlc>Qp9d{F%(>EQ)y)oi%TsIhCX^gfQ9kVY_W z1z6958i-i73=WnNu82`+6_~FLESJH2Jwj0zGa|{sY40k7RN=qgg(%tcm{UK|odB0u zqO~16cARe*{}qLinC405M;5_lr)Ya)&D^xpSpxesp@C}?7b)_D3aeN$v=rUNvWQ$d z#Gw~ufDEV93u6xg?e%!x4&cNQL^9Mn&82{@?zz=&eOZM?<4TWbEAYzeq8_SaRFi@{ zFKIY+Jn61is7urAdAEytCAD59t3C+_w_LuXg`*87?HhWRaP15Uh0|Y_;!xIW+Q00- z+KV^nWYP-$B0s!g3}2zl{1 z-P#A@HJ@3YHAstBeo{No`KZ=K!u9C$m#$Icv032>`~A$WaS*NZAM?j5@jF_AN%!Fz z8Ty*f=u@ZCi>ySZtmcs*)$v4EV0D8kGLmITD#I%9Q_iKb?OVo zZ5eGp$~6?((ngr+OCLSqwpWyh!=xl3`c|+4{A!R*BKOO?aZ7NIQ41z)EIl+upSI%? z+suP4BOE=EVxYa!QaFz9VouMGWu)cycz>XKF4I0HIkkYy>8N{L$+~$5qvCFyrMc`w zTrd2}uNqyWQJg+(6}iUesRSZ6Q+w8^T}g5Ni3Q*(3{#aXg4dl4NYz$Lgl{K&cf5!* z9(X@?(scc%J+#BWdG$H$3XDWT=4~=IGq7IDq!a4nE{U>Ljy11+doF3w7ZA=aM72+1 zPF>`kH4P6hl4&!}A|TajVu-KZ2nSctlzPDPbtp7u%q9Cga;#NmK&M?H4!0-~NO4s2 z-o6{9me^6sj-LrIw&Xoz`Kr9;a7S3+$)GOsZwIA%#atSj=Ll4pW|vAJQWWdXBCim^ z+Iu|T{zTY|aX()DEzH(c`tZ0s|AznJ&3ZU#Gdv1}@Q6fX2qfkw_EF2~q~S8f-OU7Z z-mHNucllmd^_HFpAForV!;=8#q+)`y#^cCUIB1}qgepMZfxjK}6-^{gGR>srEPhtb z#-fEgjm~=Bwl9gqnn=abi4rCg*97GACS;?=;gJU&Enm zqDeMKmBY3sSv789<;q-@3Rlh1Tz`a0h0(`a{O*7NXCxHkWMBQDn*fnV*iB8k|M{9A z_pZ7lsJ(_uv4J!7P^2D8`Fgk^wl%L;zF$pEd!A`~O3tbonyPet|K90`lL7UZg&dJ< zgrvJ|+@G7!*6=#|(bq;f+8l-o#>ub8%&IQD&_43eS@f&2Q`@YPko5O zXvrs&wOaPd?G#h1zv)%W;A}~BnB;G*fkiF&)F#(~An=7%M)>a3g5qc~ zcf3-Yq!;N}LeN(5;WTx_KP4clud21qomj%P;N%_$p8+{Tp%MU9XFNe_8nIng=cdp8l#Z6pA~Eh`!cx{Wvl!`d<} zLS|gL=|C8EbVY(^)6nS$3&_qV*#)T~F3WXUS1526zo+Zk`_j9uUs#IfClNL}MHOiz z*$U7d_VrEDcDnL6pBLN$g6C3YG|Xr6R)-A;i0Vc$E8_QwIhBC*1NEp{}jcEK4i4o-ptgV}rS--98AbYK=; zQ&k*d<+0RU?FHs)$*e+TijR>d`4sQye8#&<1WXT#8n@eW~n1<}h_cHq@EsD`5+mttOFuY~rVhkPni}w5}FI{6e zE#Kf*c^L*TL?e(>XI<9X_2ZKjUmN##$!bmN%0^uV{C7jD^YwuY`W!e=x|-#BvjRY4 z%evI%b=#-QRM(kPQx*_BbX92u=I#Eb&9eLm{T!jz(g@!h_1n4lzgp^%eAic0<`uX8 zf7ePkw*GXvJsL6#!$y8it(Jtx!t!)hC26t58dpvZl3yQ_$Pn~D)&Nu%zd7O&#Q_gb z%VIO6UNn)U>3IijcWqZMLzrC|O81RvMKoxkM3k;6d!0rKf&Dy-i3i7EKjqxd7M(*9 z&er%G!BBVze2F`HnLkQ|gX01o$)lmc<16<~kiu9gv?85go+5_GciHwTK^hWou6qj# z>0Tpo6DR6)fh4>j=V@A%ZQ-o=`*=5DxL%GW6(7<{sW?DEjkk&^GL);Ri6UV19cR&V ztYM421XFp~ij^x2^{pP4mMvqWA33tNRP6s$2I_~aryYwiZ{hebLPi$LmBgSOAe0{# za7Dk&+b7TL7SKzrKub^QZ(78E9_@Y@_zeGfAYj^$RY>h;O-t5jzkeCYU`7~lqBnUDJ*@^Cb=8Qn!t!z&zt3GrY8e(wSyvbUAn}P)A&xn$ZH61;cnpBpewuY z=;YwhQ2z1F+~0&3x*Cmg@`iJ9iO@@8vL|Jgd|ts!tW(U5;~V*yU3uPb;AvI6REl@{ zz8o~<5Yz$c*zb_Fj$=Tvy)6be8{F6mY7lssfqNIew>?9u=!B^`s79R=1pMV5zRNrN zXq%gTV31c6(?~%`J^Mw$ovrZB@&L=_rVvIVZk|0Blg)DVexR|C%gxxSgXS9EVV=&$ zPXFp&nQI2O32T3gkseL^Dz)knxiL1m*By~}Y{o`9#obQ{W^*&U>t!p10GGs9@2yLF z{EYM5-T~@6MlY`^TL~#^YC(OGJ?tz?Onke=xsW4yU)QM9MX{lG2F>41ajXhAp9rgg zZN8x5QfFP9PBvJ?m5v;BdVRh5=%pT40bu^x!~!S(Y1`1pNh7W#-U)9;HC|BSZmBfC z2C|Pa2HxigqbVz;WA)Pn8E5tUgFf5VJ98dM7woxUwuwA>L8mi4j!AaR?U#1^9LWJ) zQ3MDbAJK3bgfwC;!RVnDrV{OeFmpZQS@oIY5Imb%boR(G0$hZle+DUSACjGO^=k}J+|opk*l(XrUT-PBAQ%XrSbA8-GaRx4mO}hXW!w=g{96T zg(_4@b8!h?hFeaxBW%Zdy3r1ria4X?t%d_*-82hJ+4+IN3C2ev9|y&`7T`g!eIIh= zD4A#92C!_~^nBxO)8)I^$okTJKuvL2i$LG-B#_B*-84_{;{$&)4|Z_*hBjioJh!h`*Vcz6!kir87KIPL4fGzfQrzGhQvj%-uyxEm3xOh=e~04} zSz*+j8|_SBr4&dDJ=b{oqv@|@scs3?wS#do`0fcSBS&+U#x0<5h)H%&v3ER_@`0d(&7a)N}aXThQNS z9+$lI3cOssR5qC1%~_is^;K(6x=r-VWS^)xK7S(2htujM3%>t`nF4ZkBW5#(Z2+J% z;HhomyZgBE#*tyW`!)`%_^0&>6#3- zBOoJ3y9DlK)XGWKQ=jF&Iy`lGf`_?lY}3Cw{E;No+y%4kUR>5U2g*ZDY@exynQfIX z-E_)z&XOYm8?g+_t1v?Jw9$HOZxDP_>h8?!2So^C)p? z?e;a%&m(DqE9yD*xp}nhVt5YC)`65Pb*KUX8q}JZ4z-3%`*XaB6Rn~MM zu^|pn_yWIkB}epvtz+KmkEI#6Wicaz-garzduiaxrlZx>uT~{1Te^M~G#waG+$PzW z>f0smW@n9~u<6;GdSJbts%jWsG0)j`ChDDpDDnKGgY4z&G(HCDH+NlXeTyT>iuOO! znwFb^)lRYm9*aA1Sr|sh=eTio%_K&78C(O8(Z{Prm(836vr>o&xx?=J6SIa-vLH2e zZ6)QEGA06(iO7gt?g1nyMq}Cq#VOuE3*;<>O8j7I(4#TF3VBBqvYX0#qVR)E1kg)v zq^kwQRS_>D^K$x%i%?~2^f^d7eUydm=7ACf6}(2YR;IsYBY}|Cs)158%g9nhWwCe% z2)u*tlgwRUE{)Fw{bp zkK3ZogLwPD6i4UM+vO&3k)lE4eOgnks(nc52S&69Jy2a)PKw@qj#nk=jtDf2YDvaN z0G?^02c9EFz0{$eFA`=VvTI)0?2ms*7rcASp1nf*1PC19BzmHVQ{HX~`4`Xx?(8fCbsp#2N|TGV$U>O2r4IthD5zMf zp@tjUh>qwHI>U2o_Pa0Laoz)o5qau_d-5cFhuFFWA;Y=WcJ8gvx}4 zE9>A5-&TJ#dZAIG_%n6@;*;wBJ)69xTJ1XY>40Vl6psvZ=s5c*+-kAyoJaCNJ$zrs zncP42D{b_#BH!}3H#XVX8WqE%Xm^6MD5j9 zM$_s#=ZjF!@)@A0*_15bHU7GPJZJmQ#MMfS8tNZAmSReddkc6^y%)u~NXglQQ0_DZ zR~n_-jcW+*$YY|-H-vBdEaqI!^+AA>T&HZ$~qPVEcDQnzw#T% zom`nb3Ivmwsg3Jx^~}VH1WhQiw&)H;lFl(@h?lu>ZZ_j=f$Y2|$_^+$#gHxJ zlSf}`*|Fv05?|q+^a*3vV)>zC>0aL!qPze@%kYQl%jW$ydG3B$aWf;7^L-9;;c?35~-)aO#|**MbJIu&ZyTe zTm6L^6ohXh{%A_^VhX;r{gylNYHZnTX!bIb`2*#931hhU<>zs@9IPGb7N9c0)+R@X zVYEgTlzG&1?y7PQVsJonRyK5QqQ7N4ykO|oF8Cxxy5M4iYrWv4T(S+w&XK3JtefFy z=|^LkhRUQ!@%Ka`lv6HO<8doqm}cIO4^kC(PG+WsRpp1un7Q(a;QO#ABwNYJJr^JO z0ng%#lvLdHms8>vdmmLlVp<=#etXPP01P{@$y*!Tl(kxpIcl$U_#VvJEH$VdQx|-ew(;Z)=cAp@g8ab@!Uz|9A zc5gf%v&odsg*qbjxm)y1INSUoD+L)H$}LQ^rhO8FCVb4~ofKV`iCsH^=iK4$)T%YW(d&&7Y* zF)RJg)xWi4=AZh+|DHgOU(H#MbmbhfrOa5A^G`EBlKXJz32 zUoSZQ%z*q04FAJ{{{@Esqr?3Ff?+16{|3X1^#8WUk&S`vpEZvE8yI#4Ri5`==Tk%? zq)1>yjYC*Dxw=9pK{A3tuZy;x!xvAT)0u;qqoJU{mn;{T6o(+k0lI#8^2t8-`TBO; zdcMfKbbWk$)y+Bg^x6MgWjj!!AKDmPMu@1+i@+z3lv`L(00;!+$4}scFCP~b2n;ja z*7LQLXrImH>b0WAO#F$!G2$0reJY9rCF$OIIGo12@R(7%Q+@n+x}SMLDu>`RFH5dA$f zSM*#xbRz&dVN@6J%sz~804svBzWKf+0YpCFLb>vVR8Rpo0YumUPj+bN{BkN8c<14r z@P7CgJ{*GD^y1pw12{mg{wsUfJ}q#7rIhFZ`0PQxHwL+8>`;-r!#z4a1}HDdV6GFC z5L_gM6;v?(gK?i{au_io0`|vOBsV{W8W4rxeaE(=xG}X2-=O_hKdgZc=;{eFFaNb4 zs1*OHbqvrCB<#0mD7Z%mkcI_t1nG?Oq5^Oc9Pr5+;8SLg{^2Drj?#k*4txaO61wX% z;zf_(iVhIz19E@=D%a0P!iWH&4<2d=*h~-39&oX}YHyMDsmEyZW%ie>2Pmun4+7xh z@pUB^b!n%a_RhTL`wA&$A!)#S~J9IOgZqU+#YW zMj!_Y+Uw%~KBjrWx%(#iuA%;>`u=VwS`?$D?Y`9Z<@n%p38UH=JdXvBnTf6adpIMo zrwVerU0qz;&8i7*0`7b8wyg?F4bnmk1p$sd`^w+8NXfoxI&KP-szO*p?j z-?M1vPo)1Q4)d`*7#Ilz^gSN3&Qr>C<G3oxJ#6aPL!2ot?p8!wd%&Rp5k>S7~PQGP6 zQiMnVfE(%UfI683cc6zfyd+LFm)SU?iW+p&*l?T*@JBc&ZikpLVn` z;z`#ecvz7SuqbK?d!NdqH0Xw~jE!Y2JLNwYfEAk@&Sq4cxTdn-YmXbW$5oF>yhetL z+m3onu(+Jv-HZu)kHZe9P>hkc9Or)zY9$Pw=yH26k(bLVa&U#}62VDsd$MfeA#<~z zN-7UB3u!v9b5%$(Hl1n^OLuuQ46v@l`Kbv%VO$-0*?a$LMERsA6k+>}NpX6I)aVc+ zSrq)<>49;Ew^UQkEq+f-zP`v)w?Hie{AIjbkxa_uzU+I1(r#Nk|FTj(J7&A~m@?@| zhPQlj#YuZ@qq%h?d4b~CDA5=T=6%m=P$W7zLs6XXc&|ou$!i)~hsgXiPKs?H-8R2- zR&%WDW8l0513i0}o_&I=^YSWACDOmAqes8&o#pl?^6t>q=MmeQ;p!>xh32_Dp)6I! z?UbpN?c*Zw?rlY<-UO~ykW?C!Wk zw=zu2agh}Iq^zt7pkB++HfSKlXizl2}BV8<;rPieiAEU1$s7XQZOT6Vm zs#!16w+z+|2lQ-4#@spqR&~U9*Qz#LWjr;D;uh58&XhKOIR=q9N#IxD2Nmt`BeM;2sHZ$wSNLD(yXEGI2B1 z7=bgcDT|2~48?KF<`4TYmqK^d!M;;a0UTJ3rB|k|ima^v_O^vJ_}enmYk>otSW|h} z`}`ymBgGhe&n5}u$ag6>E)T=v!5NF_@%%HZcjaASw*K;Py(KhBjBuBSU|=b-R|Km` znEt1sD_&^^?)rrJ@db6vw)l}HAdvib@tuZ=28cj=$wlrb_~V)qG^mB1K7(P$3#gd5E>beyvu1Z5rVtkR$`hgkgO!cmdkY7@koi6X+xVyx#gU=!* z*S2=~DpPJICB=@dYa4Br$m+t|Vmq)6YI^jX=ab~%zmKaC)qaM|vKeBHrR+in`qyN! zd%yeGE;6tRySdCiy*Q_?HVz!vhYdQf$802$N$Uodk(1gT<}vbl9@5N@h*3Xe@eb~J z<5I%m;<0X>7`2?&hJS6aZdk}+zZp|K7s&-Zt&p0!nUbyMYNQOz>Cg6^&boYdRBGd2 zJ~-g8KkoxLtj`d6dnqJPU#Nmrx`#^Zr!waoM<*9W`fr_ERh+iz+1a4GIImIDl^({Z z_f%uCy7hi7)FhfXGsm}6Dre4&*lkdco|8s9krvC&P)JOdJ2R99M-<$zG3{5T#DU_i zhNJs$+>I%cs2zMj*##ABTyvb=%e2?<#ys@Z$1}&PRdFXpc8&MLJY7~lBUth8xEvLz zLf_#$IuMsy+7VEsr1KAMnSiRUtgcpleFj>B6u9bI2rR2rjgCAS`*yuTipGqg+|s3ta#K1(@ia*n~i73hu@Y3hj1E{lQskIcZe8(#@g5sd8&uXyR3Q=iT@=!`&6o znl5bkL+6xJ(nU6>GZ6bNk|#VnS)R$2AGgGLc20l)=+vzaG^;4USB1aR+$4eeIZ|;_ zkrN6UA;R?;O6b=<6>+=kjYhj(k9+HAf;FeNFlki&2EnswzGn6bl%n#w!gTd}Wp4AR z{Mkj7mA-LMa`8z|&y~{bY}A2NZ^@V&#fL+d+AE=%Pmjy-w6G`9V4wb%$xVJ+NYc+a z3-bEOfWZt}wMb(wmsK4L_AN-+AXZsQivd&-)YqmX5*HHj8xTS;m~;+QO-+Ly-Gm2} zk7=E_;ins(A4Lh731VbDs|A12P5ob>rX=G7Ep3M+WzWd?62MgNCoMBFxZMoiWmc%y z4bflBR>E~vjr&?jbB~%eY)f3MJo|6&zu5Pa%KM{8{AAO{Db%x!0T^6%lV^dMuFl&( z!XXv#Ge@I@Lm=v+Uo`6hDQV_Y)c$m40Gm2fu_vY>Es{nH+&$)f03p37eimS=v2K-l zkkz9#fusAP%=D4jz3S7Qoi@jfOP-0S?(eF73hU_PriAW4G*~A%3LeVcThJ9Azk`)T zT%t^WU=}nh2ZZWAZiHnx(5#YL$}wZ1+h!r$*Td3t2?;vToOGIoTq;!nn{$;evwz@O4@lU%;pY@EZoLj_g~% z)(6wF<^x%V4{BK7{8V`?Q+Q$>fSw$10Jq*i9QD1K~* z)WsyhK$GE=)pot9@G{nvj3>yAmwA=$VoG5fRwGh(9rJ!=vTdUror#AXW7VdwnX@Dt zSMMWjVj5Rj*1I*6uwl*H^BC{HwK!uP{Y0)eA3(6R?Gq8fzvtud$LumSV<~t3!`>Gj z;I(2>@mImSutTn?g8=b?rxFx$=e;hiwp>bM4Rd#Y*O)QU3PViM>Q}Sq+Nk;wCEt*c z?=R@$#IVoGxhOre^5Y)1Ebc{A8I7W@7)|59a0+By&Y=f+uD!38l>T+MTD_FAq{6%! zxnVprb_jntM}^}E(JDrLRz9Hk2w=ji{vpVAFOK?iM*DQjp!nl`^Z@z zw%|aO#lyxULn!L=VY3`C3Fn zzB!D=W)qbW{%tBTR2UPJ_t|>6+O=R;+kh0#ak?w43r`SblRIOn2n9I9^hlT=gEE z3XXg?t!cDT`71g(Hm!k1zM=Iw^O|eikr;Bo+fER*;4HWruwyK33Nz+=;yL&X;b7SC z2PD|hUJdkG4qT53@^a0&=!&}Jl?fqsD7CTRNDE%chM9q~3{?kSe8xLR>9NstOARX5 z*;y;8T*=_eEPs2*q;*q5(GUBZbSrSp6fhNSNCca^B!2>)?}~-InwC_0SOVUr@E^3 z*LNBznwJz3 zOE-%Q=0tH7qG2<(Q0e1l+V5n9rW$hel=M)S+d8Gu!S)8c> zP0%jvtOcoZmp|UmTT&s$-2-D)cDvY%YuuH^d+fcfq^?BdAaQc-^1W7xNlnCbh|XN7ukyNFfIzZ!%mWF&1rJxH z9m50j&cCTq$4VH-8j%wGyg-{j8P^HwwO3be8)WF~beb3YSRwVs%y%Ai$)8W%@eofa1PPt8*3ZXTdxpKSZZ@AzzQ3^L>W|c|l}Fjhy{989pfi)X zG}b?Myj3WN))@0pFJs^DOS0uL2>d=JwmMr#%atjMk8T<{9uHs}h!4Z_qd?w!7x6wb zU@kDYqx0>-OMqj{#sb#`3ax4#%9`@d0gZ|~KS*4@#4OPGlNSaN6*~er+-Dqw45G+7 zDCZ7>*PH(C7LU~rq$(?w*1&q`>hMvm%xGZ}XyV_v>S&!YYS~#W+ASrV$5Y1EHN&tC2lLzK`XtwEX35U9HinpD zRNW{dhar+~UpZ;QuaYFlhzjN9e70a^g>llw4;$=^Uw{{-Pwj-gfPj6nW|_|!VKF~H z)O^my+O&JLxAk1BiaZ>}_=<-s>Qj=fz%_{=Yf0(jl$*FU{%sA>;DCb0hESH0c~Quq z%ay%ZZqO!}o15CNf*9d$q&L~i;uwOd@Kxy}7MDn#438>N-L$WVYS7+D=cIKMKbGC= zVF(4eTwLF%T&1Kkt-pWzK^C2iEC7RJsoVeYM=(pMRI^V@r{GK6EN5q6ItAVg^J`|6 zq)wu!L{&1PHB!M+#fh=urv@$KK&MR_ttC}EAf*Avyp8^d`sZ(vKFv8>>mCCN`RfUI ztBUm5m2(@`0_)qCXsQ*XW<#n2C0T{$1O`TCQ->$w>q+QEK;gwNynImZ5_!Q(w+y|B z=$zDcP{hUio%Mr!z#=iI13KiW!S^@M_&RR#36>OOsN_B&v|~dp_aMOQt=c35ZDv9) zUcs4j9WxT|n-Z{Yt(v9AB|eKket}mh;Y>85ret}_#Opj@4fSHDD!I%DkQ|$bn~a#? z=ZJ&ppRC*4#Od}}9#<2CHN!{`ZV3@lcXC`Q8zklms-_zwuOQexp-bA&{PGTP#si}611<~Iw)e-oC#otsuS>2Z@%t>L!5eDK zPq1k{M0SfJ=b@obYTr~@Ts9`->ky64i2BGP`W0tl!nokK0*NTP`d;;4t3Hq+;zT&)Q$0P2#qDq{d)c!EcR+whpPm4T?_hq7#qz)Vk z9t3n(lOuOV^hO%hxwTyvWxkZ{msgm_KW@6MlaCnJ*MPG%g-ik+j@z(<>_MOQH{RY_ zn)oZY27#d*aHw@2tT&%@NAV%zlfw00ON&Bb^Y+Iu#(O4^UE{!;c7 zJ61E^>bQiJ$yllJ8Xkrn{@%465Cw-+hT6-% zlF4lHHzb_geRt}a?x+W;>5j-zBf=eTyFSCMJ(_ztogS)kMg+ZEH=MM1R>S2bAHPg= zj{9h(_ZSK#tHO(7^s~URe2k&fqu1}@5NTvc_+vYK^-AfDZ+rEN&4s$)F1Xafl2OY0Str2aUVGnTE91YHlaSUUjn*&v{0W{OP*6Qv0$hn_5wg5|QA#?tEs{ zw z3w+tQ87vG(DexR&mSwXVw!oIQ;IahIosrUkUGVU|B=6xeTJElpN{tp;Tt2e?kUU)} zh8ul7hnF#O!n5;O?Q4*k3B^b8JXPlQek7r2ppR=V^|OcuFPdsh+XnW{OG?uDGw;JQ@D!y~6GC)fm{W{LWFhOe^A1h0zl%sv-i90&-?f zC)5c0H6(-=+^i0^Fw4)9sChQ|o!8{1_lY2AZ`MTK_>)`?K_~6CGv+&*t~m2?*|uIw#~4ijf)=0F5fUanK#=)X zSkjcT2A0=@lf4gCRaFSz5q(!r@6%;|5P55Ai6$9^8kH0@I{gl$4OZszCW`mQgn756 z?|LmtN`+P|!xc1@sO<)tZFNvBu+mrKt+FJNyX@u?0#DW9NQE66$cv)|;_&OyA;ej? zTK2VVh)jKyS&`9Yt`v3` z&kOl#w_>`6$^DnJP&nirW8gha$5+3)OxnAO4qlE-j5%-QNs(2T@>Zq^rcWXF_%V_g zNt)z>*pwd@$~e}ay=w0#h_K8l!-b!lNkl47iNXoYy;VrjfB^@|T&=zsUn{iy^pZ#G zq8iIq$pH<2lrNY0=wyz(w+L7&DsQx=EhsTY+~5ng@H*1N6XU@2wE+ugi|cXy+Y2joHa6dzuxi!V+tx5 zBTK}{R?Y+cY*Eqa>c+as!i8a%7!k)B&b8*CCFAYjU}f0ZFn%Y)+N2A!EfkFVV&Tz*>H~wv^$h^EEWX{hYbB>A^l=)Q3L{ zeaY^)?HOY@q2@MZmA?ic{c&w|__lr$$!qpo5l)p&iGN*G{f}L{tSPm#5cmf4k=xPg zYC8(}@i0QW8*w`n5%D-apUin`A3hImmb%8Mic_Q-WS`l~A@5o9K3M|2UozAU;@uO8 zzgkGaWKY>HRUXM@g_JgXu8r`l)VOPkqC3YA>Wv!@*u#$WFk#d|VL(#HY+uP`IE%5h z&k{y+I$8it>w?mrW} zY(G)q|3P78>5OcD>G^&g)4FTnaAL$v=2tgNg*pZ}jrdGw6`IPRa9|2=y9lR~Cv z{@*U;wSdZNZz9pafWX7`8qe%p!3hL-+Ceb(AfyR^h3?q&Zf<6QxIzL3aDhNvVPfOH zK5V^zt6VQCGnhKpTy0gjK9~8YD5?aC^kEx9CHed1QDawL1o*K@N;+U?0=T%)s=Bzy zDr;)WAS{5rwBRH^;mq_Rf&fB)f$v8H&w#vHB{KT+A}8bP`*kG3`UOJw^iqxVl8sEk z?ff=Hd&z*XM*tE3!yY&RC|L>M4uO6WCixC#czgs<-x$EV{Q8c_Z#x9AgMhGO^hJb? zZvgEC@aK;opd_h0Rqmyu2oo}vAJ_m4NKo6S8kC0t75Rc}T=eANVDRF=QatLOKE+rM zj2)mr6~Gz4SZ*NG4EBu{Bme5aua{J2Rb@@TV$_jaxlphHpfkfg01$30D}EFH+I`0` zuomcQS#j#?+@^zYdaw6yTi&%)l`y%h1mb5|X=H&?#eHsJNcpjY;7e**$#Xnmv@ zT>Ty{1_fK?0z54I+T+fU|8CL%%KO>L^WmlS(FK^n1#n_%FnrhHpPz(#2~FH@dDRF^ z4aFIN)4!z#J^`%<;PuV(U{7ZU29yUU%S|2j<^00RbFc%L5HOMVqnJSg5&dL)Z@@6S zCG+X>1&{mLRrqxOU%}hu@Q1b(a zMg#W?P7KBA>75#d-tqLgdAsKRcG|Ih^i@}p;rGpo`P`0j(1#vz%;rmc0uF0ugr-Y_G{+Yg|Y|v^tt60t84g@?|;N|Yt#?HCE zkV_5Uzb6#@{=2n}{?cLb?G0yMi!t!=EbDN010;=&ExjS1BesWe3&72uow|&D@-{pH zyrSNVaN-EDqtSrY1GMM&_MYz!3Sc$YE#r&ND+{o`?u*FgC-bE@0Isj}hIR|QlJqU` zF)cmm8`t9~+u(~ZZTrx%O8TwtmQ$hrZ`=g5@df+C?N*bg3E#StRGLCoC{bqi2uyeCqm1dcK`@tz+4Q=RizDKC^5n^X zt`FlF>aXNe8oQ^o|L{Doloph_?tcvm5;Pb|82lV?igux#IgCoN2y=v%hJ7h4;m}JM z%8Ra2Z&xXc!r(a03#%zTz1+m(Xiw|pHpu98=U+8;nYB208u3yHbPcz(m?u*ln4ZCn z7F5%)WL@y-D~cXON>QRn0nxIZJJhCZPz47AOKb3);2iuu#`SKUJp&?8R}>5;QS>*y ze2eDLaKjXp9sh5-m^#i{t@|p+l36ECPV#+m8Gg=?BD5oXBoSGiTS$~z67}iJQkSAu@;Ed z{WYUXns`VZ*^dz>Sl041_4LdCl}3O?G|8f&3_6dT0dbTnAZJCJyWEt~Dwehd1DUzK z?aD{y@wEDzoG&MG8*xZB&$5m2dup~zF3xG?r1ShwqW>I zQGAhU@ckfEXsBKVl^V5+ifv|H5{?K{hkmOdFF9pDC>X6XK2`AK!{xg;G!t_9#FH)L zhKVTczzEPBY>Xe3xpdVh!-4zt2<2ba=)gijQ1j*~Jh%2?b_WT;&7*WG$M8P)kl57h zj^vCvHtf%PcZWSnItu|9hhS@@j>tT`LDtSsTr|j6GDUGzdyHdMHlFUd^oRT~xTScUcv<4I3IhSDJR;L@eC(O+K9W72*r77zETFxA=hFQu#;KG6(E zH-lAHJi{&*zk$prt&7%Ec->LcPLgyXu}4&A@>=f`M=E!OdV(z2_95*o1s$TNS(CUf@ zZqiiVle*ZBe#7vWr=(ryR<-Cj5<&Z6s+46lY42!`tHFPeu$<(w@8#|4{EhNKmu} z(2FQ6Q**$5cRVJOSkig-7Npt)8t711aBq|DkPb4F)u=s=dlNnx=Fx?i+emoza*Eh{ z^l<$Z0+1h2bqx^_c_Eh%JV|kIw5ME;d`hGtoItP#RZOxv!G!X(Sa9#SV2s8d3d#i4 zHAgv}kbXe0gE+YCgAHTc+>fAEi!qwu8PZWn0(LsC-W02Ul9hXj*uftZu~!cNsLpsC+Ui zi%?hVFAb@4z*!rSb{;glOIVo7|iuVY>M3?>I7Y&1ves&0N>n&+uN&AELKI zYCUr-Sdq%1h_x;%c~vx*G_+7xGRuz{+^Y5#-vo$qoI|LXev&v&;V&@C^xC%6w_yAH zGtV(2aAacg#ygfqZ)v?#=Qw0Q=6l&w1)8~xhitioJr@tU{Hm(m1BJ!@s+1s=Cn?~r zN(R8}qmo_4OGh;|3%MMLOy2V+4uxD~aEqFm zV{iLj>?vz=LBnfQO1Z8q0FZ|#qJG{ACLD0uCb@|G1i8V+1Xsn56bva&JWWN{Dk$^} z76D3vCC7OwhSg4tG5)-@M@8&_-?r%cvun9?e^Eo^%*EWa)bL>KHL+~Bj=(NTGp!~@ z?XHt&S+h_Hb-(?@03xZ#P*QX-n15M5sKYj9{Gqn#qFFzG8#O(Bwp+8scB)-GiR!;~ zDUiLVo}!#Y%KTigi{o087H!AA5x^MWMtlK`41Bga`)p*Mn0n1O^H4bsSeJ=BVNWma zhnA+DP`hR_hk1j5&NmHtv!um5fTsuQ-1!KlX1H9AAJ~3OH>nIA6+lm0Ed?SGQ$b8`6)>`FSp9} zz=VjH?Pq46t(M)r;@NQ(Fk;Nvn-aF>s(?#*#CyqFPo4rj!MX04X^xVs+1)GzUEGzT z>#F2hBA;`4^e%uP=Ad!$YZQArx_dQxZ@XsFo4Xm`OeY`nygU_gQu2-GNz~!f(YeGL zd<;wMkypJ2&!fFp%>+b*BX5P6O0#OT#Fc69C77LpB#e>O(h99P+{`WFggbHs7N?P? zAlSYph)(sn${0BZ1r^28Hk0m`b0=ZwxfkW{tHN+m6DQ{qg(=T%2G0OdJT}r#FlIFN zdhalq#)-^vb6uGBH@tP*!Ft@TlG2pOi&@F8b*KRg(Zblp+vVj3x|@$Oa&>lub>;Zm z!zM8UKNGi(%sv*L;s{G>k1&!N@pNP;rahOf%Z_RPs&vkFx9_&UWyL@eO)`@Asyi)z z5`sLDTBO9YNGf+Ef*ljPrCYiYfV0 zFG=;r9>Y*e9&N(4tmnwLQ%90c?U+QJuw$~_7ujt>pj?ywx#{mQ1&zAl)&S#^&*czH zg0fHj%LItA{;Dy-(0Exymg|xHe^`5`SW&_N&Gu~Dwtcp3+qP}nwr$(CZQHi(IejOS z>B;R*=3yQy^;GpzNv-vN%U&VmEL8La+a5wMvn?qEX*X}@bs_BDXF@e(PVV9GBnN}} zK4S$w1vBuKrOrJ-)1TK|3d(o6FelD)pyI-{9D)Wux2gWyNN_a;AG2&foCfx6ybAG1 zC58SXekFS_+ac@EJpzWckhJA-B9;g$?z@z*9Fo_emDya~ZLG=8`yA>vulBrkQ@t-m zu%$diy*Owc{0pu&h^=@zszzHP`FuP*RIc1wkYY~3V^y8OgS+= zlfwIh#YyBh<=>D+eg!1e+Xj1vU}Zm1tiwS>^Ph+#dVtd>3m|WPn0JRIcrwbP=xK1u zmm_u+Y@8iwv!cBa^ zk^pxF0O>?jW;88rjqvDmQ=taASsC~gvi;!{is~wBw(joi;RtjBkwSZ)y_0<*g*yv& zgN`V;H7DwS{ccQ+xU~KWwb@Yqtj;vrsMZiwpSr=j#C(-ob4(RIJi-lnDxoB{jy1PP z+lD>Z09>;24D-o-=INH0k$w&F7@tPWvzN-DeqYaPdh(}ZEdH1%g*3Rh_2Zj14cVz@ zR9IC#)1&JKl82&~=nP-IB1r`R z4O3^v@Yjco$yLC1Ig@Ufftwg;4!!7bq9G-&ZOfry6eZ|rqShZLv0wTt`>B5VS60o@jXU!(fd8Q zvIO5yf_;(KZ*0VWyy>?3RdJBfbzyFoI#;PEDtUzbcj-1tHWOGG_7uc?_cUP+5$jDM@ zvT-bNptE8ERj6*ya6X7)8|gL9X^)B%W~?+xQP*NofvMNQtlL~UlChJBv9o!)(L@+4{*pA7RpCVRM{6nh zN_G(A7ThkHnW^1=#LV-SxuJJs{lrm{LvQ=4-zlZ6=4x3RJ zs*}DRP9#5TO_j_;q%icaljcQj9jqLeE=zHlf&#*{R;?=eyw8`Ry@Oj-_TKJ!lFdA}Mc$#74KG=pL)Uk6hEo&LbEDTs>e_hm$5b z7zWu?s3owMA!SCMlja(1Y(zY};)?7dq~^baesH-$Jj4g7bjzP-Me?ljARVk?9VwV{ z>LO3GL}Yq3U;DTv8(=t#G0n<+?Bp1gte_y4N0Js|a|pbSZ%%QLL7-dqsI^Hai=iHY zLE}qa**y3jB+QjcG&RNC);$npv|ee8P5iREoc}xaIt4d!H^M`%277c&)p-A08^z5p z(3NirP+yHTct&TH%c|2#T&sbS3Yr2Zqz5{+0pK+fSx$jB^jj3StK5@kf!-e&c$|# z1YR&mqYXoic%1y1;5~fTRB7Senbz(bRfbEsKD0+B&Mn$Ow-OAH4uL@L@y4HGZ!zHS z6Qxexd7PS~6;u530dB}Hg^Q(RbVI(H7Nu{lA+E)6WWnzdNbLb=O!PBMh5Vr`iA2gY zsuF4J6ZA9OHl6r}%wsQSBBp1Os*p`1?z=O@2WatUJ@VYAJ*9fGaY`(j^5NUf+t%YJ z7w;?~vpB65-j=WA{HNy!pDd32;q$Lp!}krMv^bNs`Y4Es(HM~mG)MU{Ztr@)GrXwB zG+)9!z`zrhPvDRRwV#!|g0f(%DYI!vU6l74ahzmbXYGdvAMbJ7Y`5k7Vk=;Sy@ct3OnidFwZ@4#7U4MGW!4BWS|{8bUuu zr-pZjooTf$`;7s3AxLM+xJZ&EWdP+%r710(fRlJO+Q2W^2}`>U-OJAmu=ji9vTv6)(?MCkd+RVIYj%W>?wFFeqL|K`VZQWd|1{Hgq}iH?j~PA*0{ljWc75-1@3G8?F_t7 zv+EN#LFd0qA=c<*o21w<)|D&W%IoR+9~TJvX6ta#W&YeKIp93MhM8J%(!Mi-U8EtF zmZGUdVuHP*raNOMvCL6sY*2WGRgQF{r%U-ONb+1+<~J{e&L|$s4sn&@QnL+QJZ^{- z5@T71nfJNgp#{?%)#Wk+MRage}T)ed26(K0->QH(zeDHXS1T^AIP$tomCT^7jMvJO@}_gpR?i$}pFa zKSOEH(CNf`WfQ_g zj`{7zXWkXV#*?ol3%RY-1h-8+uqc?yeS2{>ta+X)B7^BcA}pTlJWxoF7YThHskEF< z<|VlS$G;$nDw?TuaCjtv1zxS?gT5FZ)D;QqSKN^3GHoQGq5wO@ z0l_alC|=`@@}9N#r!ZEb4mO__wiiU)^5#`ZyM5T$dkbf+c5oe!ek3xofQVSJ7RsE` zjprBQmotDM$fzdw3jZ3M{ydKdWGV3ZnC*95zd&gO#JpKsQL>hc8b+3jlD29$e0Y&D z#E)E!W*fIj#=GFuHc$=AJ=QH_#2UrQc+UTn+*%lG9xgS7^n83ywSdNGrpx@?yy#ff zFm@S+Gkv=U9jT2iT}LQEV2>K<+n}OEq=DXO%@gAnY+DU5XP={NhC|Ub_nl$Z5Gzjb ze}A%Pmkw541-kXxG!PBgYS7W+hLt3{)ck#l`nILm)uw*WU{zrG08e)`twfeja0StsfHhEmQ*@--QsmP}32h;{$UeUUcQ`NH z@=Y+eja(3#o$E$T-uf#?SGT9Oh)%{TMc}``(b@b7NHB}G^iTPQ5`-Z5*uMo|G=YgX z+6+FTuZ1mk490CIoqs@o`66m-|9#4P^cLTjY-S#q4vRz)vz$U>vvRnPnedjw1GWit zjC=_FWspt5r|fdx)?UThvy?WZB+$eh&Q6$c2WhU>*OU|!dX6T=>d4nLg^%+{6I2h- zkM$`kZXUr6Gs`YOu?s(ll4bA^)-J?>OA_1*ThAH**DG9=Dd^MXz=CaTp;VKHG+!px zrz={Q^cf?1QQt*HZJH?F9d&SJ(`~6!UMsVS=^+L3GA2{!=QPoAvy14yK>d761jy6BMpPRS_`~-*-V570 zZc=PfX6A0ld$3?NZljn!M#wye_A{=F%AA}vFkoceBARvXt}9=kRj>&s2~4{+I{lQ1 zF6sG|emoYXV$?{C8#Ysp@@U~Hw5)ZqIeqetzRnzBpVQ!7o3ha z{TgZ!aB&ro15qOExkNhD9eLgdbPxXGTmPMtT&(jUqr2mTT4WHuSv>@@#2AKmTW~S; z%eQx;N_kjG+1)#gaWbhd_RjU1(?HC?zP~96t=}bx#Z>~gC~zrwM{cP&Q{LEMG2xKf z_hj~-Q@(qV?E1yfV{-M(c#r&gTm_EGc}sV>k#VpH&?MSF^RA5*j|ub|d4+oN9KfLM zNdY#V3m;vHw+lHqbM;(J9eV0HtZ_}Z+CSVHn$$nvH0A$^xxQ5$01j`($RC>9nMz;$ z2Pvk5jmwag$5^&ZowONM%xA@q6^U*{A3|E`udtCu@eRuu$CTHJL`q6@D+?iUUEP2< z)rqR_VYs(T6xINy2bSjo(#r5av{yeKlFcKsOrpjusyXT*LvXib4G%?0MUUE)0A^Oa zSDPu0>9nW)G&8UTj`zQet_|AR)w-)Q#|T?hP`<97iv?4#t*$)9;(^))o`uWQ$ZiO4 zy5szo6;KLE)n556IKW1T)pw=#L@cwg1}IM_SiPOY*WZyXv{gteyLi=iSLXZ*baNHX z+sUdK&X5*P9-BE0bV)?>KIF7pq%Oi^FtGEqbf(2OUCnUpRWLX*qQJ?_VH(=VJ@ff7WPDtpDIS`>kRwm4eHo)_)Jhvm4axAB z(Xn*9RI}=Ho|iBV7Y|YPq5Ic_4LpxsY43}hFV7rv!X@AnHYaDBeUK76F!Rks%;(&GX zO2+YfZ^wkaT)9(!kFsx6J|JmmxiUtUEm4m~IM;SSXA3OYB7}@d{I5xg+1SHU=w4zE zkyrO?N#xI7y)ftzOp8AYe-O0?4a^3<<>U$gao9FJT~j` z5B%d`KUrM50cxQf4$-4p7}IES?sJYX@fRxZ&oYKZ*{_kzO}dXH+T=NUQEZ(MMm9+< zLU+@@pDg)NNCb8-=b$+jA1LHctf3zPh!szgommWgJxv7HZ4)7Lj7Wxeie;`Mqc5jHTCnjrI6(l<$Cxg zPB21aT1z9dCJSAc#1_!USp8e39kT}69AIW3q0xcE+oRE~mC|>Xy@2_E2kBwq`Uo~; zSG!a;MT)$nqdVGTKiq#_P96?HhxB~$sG{a?g)D{+92oIvF{}&?)T093I3m=M4leIn z>%kM&=3#TOmyKRfv}5FIMz=6Thcs%_h>YDkx69O7nLg&K)VU0+T|nYrJak($fRIsy zh8<4t(autMCI-a`B$0Y9;5Gm51!q_I!C9dG%qx>MN6&bnQ)V`y%X}Q7mou6Y7X{{j z9Xl=3@*BQcCA(sINWQ>%i#0>@t=)nH<4HhGhFK%sldvT%J~+*gduoG-oCc5SRuL^c z8Y?M3N%qD6-QKbzc;1CE=)W4rK4PPIL;~F`hj=8iS6J1qIRwDUypd*Sby@Ikt`x5>wz8L zx%RIk-1fQ3)f(Bx)KqDbMo-OIB6+M-=qR*GU_`H7B(*lsPXg9mueWl8dD_4*9g1$f|tU51CoZb-ZEF+(Jd3&>eLGlGYz2J>PSKK58AQ} zbKi?s;+Bcptvn_T=40w7p2d;E-X*E1`WR@%(j$z0L4!%tiR-MW9I~mOdPVMvU=zG) zg?A!VbPq6l#{2x_jYxAV34XEhs6im|PMqc@&_+^HW&mz}Xn&#n*df?d>Ag8}6YT22 zd7f%P2=RK^&J<^$H`4ni>{dOiD%v;c`)L8Bh!Nz5W_om$()1B?iLe)i*f|Q$ay$3AEcn+@`u0`Phus?yb3_%^cM}6 zxn~iErCrPA`uTie} z4j?sqBh0MUtJj+&Ga#p%sGvL@@EwJ2QZBMa5SNZDxAL9#m{GIVLsQF-AOJUo4su30 zIc0=?rn{izHO?;+UUM~&C)dsCgmy!cG0z;mz2xzv7mV0~wdPbdnofzo2rAsq|6=$t z0a@+7k7>%72@>C-!$Szbv^f@-kzB!XgJ>m-l=h{L?FrEirko@8sXgKk3b~~3*x!j0 z+zPV&2RY}AF+!1DE+X9NIEED{h|xvH?sKjmrA?={U+84NL-glqw#;p3D*aJ4t~V?t z&z+U>h2M0{DSBYyIp?g92c;_h*?$hXk=H@wfY}mh?dbXL%F$;;0S0q}{VYy~DHHXg zxiv2PcMY{1zU2A}45ZfAFV1U5N9kg-bY&F9)57p9&x)8gn1s8hsnXQ3fv5&ZArkCX zwGaV=Aqy3St#7csY z(uY$dCWa!AAu}EnqU>kx+x<@vhuYd?Mh|CsGqJ7oaS?DHqILA9G^KgA?ATI{D#W%U z#_$TMlZnVzKfNHjB571&_`2n8y~6EZF9{|-iR`?>CY9iuOU&6WOrS?_5cIjXZ={86 zo;gv92m$Q3K!I4^Hc&umH;m@e6iI?o2^+<&G<0gn10Lur-xp;% zx972|YqH8)b4Zq%5P{7$v7nS{E}H}Z4gG6Wp16yaqn5T!>@_o+2^T)bxvQZCILNV2 za!&RU+EXcqQ~=~85w-26pvA5GC`sq4+xsxTmxE^bt8q^{Bd*}Q=W{~e0%)mIQs{{&I84TZo0S^Ga|7FG2A)8M3hq3M=ODKKMD}r!5%`s{&tTj zYp3+=Q4=6{sg6Q4@g6pSebkho(_?@=f{uAbGGS1|*_#z>BG#Q00O{34?@7wIgq69m*or4)3+`Pj49X7s0eBmcUg}SC6%apTk5*(t@uF;Xkd>(B3j<=?r z4|dJec;6cT*3Mr|(ZaPhqBbBJeo(E$;?4Eau(U9+j%p(OOyq)@4o>3}YeG2fjJ@Kl z{T5qw;}nC3{YzE%2_i^FucIYgDp|`|s$zdmKtRiMtl_)JRfZw&sBx{te4q_h3cFux zX)3fC4Gu7GFzDusTA+ooS^=}f;n z@upSrVQKR!wU~9>q z_u|Lbo1&f=?!IjgKA(fd%Dk;7LMoQOoiY0|e(<@8IMb(1#*~9Dvp0Kj&XRJ8w^nGS zE<)Y+qNI1?N*im|#;FnKye$$>s7sG?T33_&0aJocKeZI;bT{wS{!o6~@r6o;5QuyK z+(!s2NM)u_IS%J&?31Vyh&}6uJ{yu`r>0rGNOEdpNiHK%RQ8x6PZ#rybF=@fA7~Y) z%Jz5-7hN z+o1>{@np@UjJsRj!uPF?OngA#$(ia(p$Y6+IGq|$Jv*+09c7lPO?ADR$vcF2(OaJs zW`(Q1%Oh^v4BFT;T zvdvm5cI0WBS|uvoLbs}9aA%8yXmQOz_N`R;2Vdn=Q9nf1vUtoi3~AbcfG}%}9Sb2f zN<=GZSqD^HDd;NDpm2-8X~2XP)Ko2xrNX>{6E+>Y_>ru)4e--&TkT9tEd1Q|uu5_5 zt~YtbX)9GHACEO+o%PTB?pX{b^r5N2Wo|I@(!Zwg9` z^#9AiW?=b$WMH!}|F;IVFs&G^#J_x!%)fM!;s3O;X-yrB^_`3z{^gS_{sol&Q!>fX zO5f3p*7g6;wg1D;{y%hW_W$%c{&y(pe=lJD3nkIfvHe%JHVZoo{r`0+$q9^U^ZK(@ zJtAd86Ir-=NJp7bVtzwIgAl@iSm$8{w5qBk<{w~*FhKtUWG^of z@F=1$T4s=32<+iNC zoCR|af1JZO0YT?bK+Fo`>{KCnn3EdOF!e1%`%~XP!QuTN0r?yp7zTO=0Vrkcm;fR9 z0i6iYIoptW2$2uK>4f+Z?4nkC6~M_i^yy|E3=D8_aSPzdROOL3RK(@b_x$_T0HF73 z?3y^SLEk{o^T6x_e)&ly`oZWL1lxY*u?no{aN(J-{Z!cq^X!VKcm`k~0t*4&4*m#I zeeGKDqQ8g={=<~v9c<1o)tQSJNR8wQkMTWhvg-WU{8VnhnNNeaBL5* z=bv7U_vLH&Tip%E|Fw*Dmm8!ZhK2kG_$v^=*WLHf?l%$@(6>4Ye{YxMNzRRC5CHI3 zZWoXoB*?voJJ}9C$Zz$XU3rje)(K-gj7dB;f+OH~2rejkJBB!6k3ZCh%gA_$MEd zqW863a;!|4x^JvFcf!9ZzO`J~HxQu;Q&RbPkOVKw1k&H?pDKK==E8Zeh3ZGM7?vpb1{ka9ygbPm$wY$nz-1%ZpWku>&*SDFSE5q}+ zC}r2UO%Ktp6ek%W0(hMr#OlT4TK&t5T?VhyQW|)c(j3epg4?EBpi{`+79iu%oKvW! zTt+4@>j*C5$eB}1)FA1WYMe@Z8{t7pqIFgpJ44TOn__rr2V86TdCm9UYQJoY^U&u8 zzow!StcB8m>s+!|I!RX_pD<Cpp zS}^vT)_YES#408VjTZv-D9Z!M%#>BA;UQXF#gIO(uz5w0p1vKbdn47+dW`e%1 zMdv{8*tH|BC)QV7EySdI%XD{T(iK|ifT_;}IOWnH%|B_&_ia{LToA>*DdH(QSW~;U zunQ{QN}k@NIf=$qa6wecEaH@Bx#}YRbPs}6DAXz!%VfERE^lRms^9_n-k!04 zA=_cUt*%+9F!YcE$X+3;ylc7>zWFpmy3 zt)G_m{9sTfoY9~sLig=jte9lt!X`Zvq_>QgzLx0(fV3+xlSmXGu3&ZUEPrFJqq=%x zZ9N=H5eG>6;F#=dVsdY(Qm8jmr@Dw{hh|$cT)0?qtskdd6s6UT^RGZ!zr0|N5BdRZ z>!)1bcV6e*Pr7lxo4&gu zS-szOQWr@Gk4O0l7oCzdiD?c>{8wfQo6{Db}oerIliM23m*TV8jo0fqE>vLgRPIfWYdTXYL z4Yh&}5sTWHW|eJV-Emtr7_HhfGPBS0sc6p?j?mz2?P| zd)=PZw}YslsDmB4KD{dKJ1Sp)dEl8U*kQZ^a46q?50XG+s>61HR$TOYAnHPwXRaAbScR}#Y0ljb_*>1S#Pz!^@ z-?T~>Yklj>GXJ2`rfG5HH1qE)_RWn9;HhN<_n;zJtsM)s(VQpTVHu}1m~|Irr}+a&q19{iQ@*`vvz`P2mfxT zt-q>OGK(zFe65(&y{B_rGq97F_HNX#)gPtxwQUZ$p@Sg&rE4`)Q`*!=zG-NM&LX*n|5s{Q{2^%GBma8rj17p8{ReuB?rv=w}fqfDhin5 zJ_$|vx}?TuLngVx&N{>1om4V^RGLBu3mh{lw<=8&EjaWB1Lta1sYGeKL$ZaJuDR|} z&I&49h*!Pb8rZELs!grB(}gQ7i|@MQS`X|ruJ|q^q%Em8;9e1Rg}cMA&0{2P zXrDjw8!wqkm^DNZX-!(}P3@$+j&GBg~o!vkY$IiOB4# z+}ujwSz3!CLte|eN)OYc@vvVf(VDXd`VFWN@ z>(@{fPHEVPE~(P^bge53XW6iB9x#(*?^@M~zP8^yBBpe&p}x?>^Q0`F1r8V`N`%f5 zWtoMn{Pf?QDlBGP=2DVXcOF}(O-$9Cx4hC_S(0ayPM@iRPJ|Z=KiM(DD=n06YyL&+ z%E|BaX8)sJnw`SYQrf42Pet}+NAW6g6uE9<5kf^NY|npjKU=s=|D};$oh>0(y(qqq zCVJ@o-5JKY-X0neqA{$W#Bz_cc5%#&=+5m)D8&MNzf?8K4Ow?Acs*fwztQk`)-O`^&f z_Qa!JX_8@V?9FqTC#*yT2?<6J@%1PPc(HI|JJtC~@A2 z^q1u?XGW^KQ|q1&MX@xTj+{+dOe-T>6wjHjJ^MPrZA;*2D)N((k}BFd@%L;Gfkyc|W*E&!)0ttDR`#fQl>m3L=;4zAh1KeSo{jAPfhJYr`I-dzB$|Gvzk@aHVEa z!i)ZXmeI%&>=Mt~7RPD2APl%~p#W!HQu)sWzd~4)+OYI%dwF#w#&Di2GPzK9$|Kvhy4{U)_7Hj}MW%?=ZO8 z$3xc-_3Zl|2%1|Nou+1+j#5unyIEnQ2jU}GxMqfX9bWd?TP1b8LaGS{9ORB5fXxZ^ zwv*|wbChC^a*ggV6sC^{;2$L#dr*labf3WvYSc*!jkxnfKW39dDmDg}7hP)Q$$|!+ z#V1$=EfgX&BhbOApdAz)9b+-0hJf1GU%zAAMmqaTKtEAiUMpV~Z z3B`*AGAVdnJisn1bXgO#t}9sGQKCnZbij)wC1PV(qUa@$G+GGWABp^~A~iOn3ZbEa zf4>TshTWo3R($rAts`42YOf6yA$&`w^`&XA;)?-o>Se*@30u4}wbB8;fR-E;(YPHL z#pEd4{<L$Tww2kgeROEqw#x{Tsj9$}MglM|1cC(KyCRlpO@E%P+BAqsyO z-_wu4&Ag{RV4nT6gFP!a#10VHyM0sw>S$z5=I0HYs^O`AB7wGQ=ICKrgC>s+g!|62 zVl!%0gp}ENvPJ0=#As^iwR*6JmeQc|yk|0ZSL`rxV#|2gA-9asG(HS)DrU1=445M{ zyV*(G%MBeNPl-ko;9f3=C)>okp0_uUrXa#Ru!IV~7+va~K?xxw60}XgSqfp<1EiQ@ z5ludNSAjnC^clO0kwyGhPyl)qiY14KELI%PCq$h?XBLF`Bxxg@|Em2~CmWjTxT#WUh7uCM0YbtfmoI1AeZ=s{KTgthnACH%;Sb? zY6qz((#pP+4l>9^Fr(xFUA)8h?4zz&3%JW$GTXv;UKLuXozu2#XzYI?!3qL zox1Pu#8ZaW32x=8$%K86%?Q4K!PPzpo>T7YU~;bfn(P#usOI8P_>1gCw) z4rx`0I1|-2B#~SI*^L^>FB|A^7P5EFZD&E?*{W=POpKpP3?9s>2Xf$gs!&c2sUuT` z#VX!>@_Unnwt8fOV9wItB}zKx!3S^?+b^%MHQG6_^Er-j#v@){lwGBtze4B7uBG^o zrXtVUt(DLAB{xwXbDv%NQY%3Wtc0MF<*#Ar6(l_SSs^>;f*TX{CjO5&mxlfCtCx*x zja=LW-rYt&K&o9R;Y({R?kl|v_szm`>zCY6IQ5o%qoiVzw8)kzFb--A3G|K z=Z@LDr~5AP)$RG}sv>DVFOFGF?VYXKr4XH@cuiUR@E~UG<_4ob<8+@lFHWurLOOHf z5DzGANZ6Lm&416k%9oZJ#^20Tk@+K1S{?VB{+$Mq9GmikHqUF; zzRY7^_Jnn@iQQe{g8OWX#!t;jk>>wThVY2J4#TI{ z&54%4+TyXoJ#;(MliFz#>q3sFXEJtA$vQRc;oSZ`c*8dd={vx<%Yx^PJeRmqwRQNIvI*4w{gllxx(42^YVbjokH;@kjWST`PE~Pyk}k8@{_45b z>}hw*xS&~)zw}b*R+@p6 zd%jR?G1U^h2%7PNy^AZIU@;A-1$CyaY`nve$%>tB9uiP574nF!@D1cO<^q)tB96ETky?Emp!B~8*6WJMdwfm zh4diBr%u25P3w!_CX8_OE;_`i=VLMD@s7-zT4r&eBKcQ}_BU@#;7sA>BqWgD5^i#K z6;cZ{R>_HQgq~p^FF!bNgXOnJ7Tk-mk7SA-M*6s2cp2?*#k0|YJ8I9wdwod>fqc%n z=;q4;{?M64mFK_Q6C|ng>^a(6xbuq^O)XG2i^Ld!qQ(p%eUDJVv6_t97~)ayntquW zU#nUG&v6}GO&~i-^cdPGN~pNLdK}n-L235l<{mfEowEdS;FJbQ`0+^C*FZtrI2}^E zEfLr3HJhKDJ3h@45aMryI4nPfh)`kN(g@C02MW|=8uKa1E#4K51l>ukz_JgZx*0;J zTWnc`0Ns&y8M#?X|&SbPcpv3Nzb- z(|h;vi!^Qk#{sC$`b>A#IDNW3%of+;Qhc8QORe7Nd{1S~O2?I$)(CoIy>^r4lo_^@ z$;$km|Kj_6QPD&LdfgT1wPH-2`=Dw!aFlE%4=EQ^Y0|vuE|ue5A!&~totx5o-u?Vd z#Kmf=f*(`{%zC51!+musQ-IE#f3V}Pc0lc=?W9bdEeccs9GW;4B=++O{3u%GayjG% zQ4A;vS9l8=BZz*7b8y4CdHbUU9*(_7jH)7Ea-DLGvJnw5?K+fcz$!UUuOj`gTg!D_I zU!pYw#_t*yN>ylVQlmH#J8@$K?jH;w(1PYuKeDG95?G*BWZpPbnVnl}=8ofxw>|$y zZ8evrw@VdIgg`3hcxn#AHiolzqoMV~SG-i-`DYNRtv&e=IsVnAM) z&S!_toHmZP4!dO%iWWw&(4)XxA0i)!w6wB3KKkD=Fi@yJeE2}X8wfwCSbrD-Iy(sD z#KM1*|K)Q+3+Q=-$uSd4!vz4Bw{ZO7`SFE>00}7pK!HH|^zM6+X?mnqN$60$d;ONK@OF;$KdopR^bY(ogRJF{=I*In)77t zc*oxU;OF_{3|z1u*vBv1C?Dvi~fkOye0Ml zeO=o4!SjsyZhR|$S0VtuccMcE=4WN)i`fD%pqd5R1pzfDGr!I0nBn3hn}1UwT%3gr zED3Vwfs2-*knX>Z=kpn}YvUsW{o{`|bgDs&8_}~c`)^Q$zqKrBnkoVsRC!rhdtyyk zd#mrr2sL)-CmY@Gzg8;%;SWL|KgMhLaVspnd}^JXk645VG&gq2!@UZ0G=020nrxWl z(5Of#$Vh(%wEgU8({O%kUqE+e?soadXjwu1dutgdFw6o00A5Ac`sjWC=(3i9VTZXm zhkkzk-1hZS{{aSU66u@cqiUlDgm^3E9D!+lH#AJSjkp8k0W@p_0|@Z_{&{>s7o@dB zUYP&PecJszUS*bFo|`}Y34G(FcXv-hn@dFlJVJp71tNf#2bV*BJovq(`R)H@ec9E) zAwQ^X^#3(4i)i8pAlTzYr%Qchg^les>%UJmV)OsS%?}>1!+UPk@>|@78ay`h!fl}AfJIkH~@nBz9-sBLeR0Z!~w=Mc?}iwy#-_(MDP!~%-e$R z?O{u!q0Khn{|gw@(IL0v8oT&sjtp5tGiN77try7Is59ovE_XEJsGTO<_MFhrI zCTv>1?`AIvT&QQizF)dHvJ}Hw4{6(Tkwi>?qN}wMq%ZC9kdU7%(`**}b|sTdJ$7ww zI(?;10oNjsJWK2CT!Jh6xJDYslXkUn%_AzuiLuI$#iSJqtGjm;cl_RGV!Uxe69m;L zoA^(RP`)K?3asMN^-LziN=x?#z5?${#?3jfEXxF;v3zr!O7+W3MFBL7g@}D&HVU^> zqjGP5#vKB+=Szg*RU_@}G+{#Xg4$B?hAhB+PI7DN2k7VNxJTNK2uOuHaP{>rlyD-2 z_zNQ?B!Uv=^l5^Y5t@fpY5b=KcV3+8z8BL>x*T$A%8q4MG#b1L`&koi_sx$+!)5um z%eZjJ*6AJxDT2Z&wB+`_tL3gmB^=P{a!gt+n7KWWZPSPf_|2rr_WJl|%>txJmD3dk z2>@md-Oehnpa5~qf{hIQCpzTN7Ih|O6>t>{E90~N>1|y2)NTEB##Xb>d)bk=QmggA zX~q5G*O<}fb*L)n3KN6#k5&`H0~#z|wcg2`K|3Y!SanHIIrmiwBJwW z?qE?>$Nr@w(;ILeWBk|7k#{Hb4NhJdL4afb_fouRg>>wJR!*o~Yy?D{$3B<&Ue@?@ z)Er$M2kCf4>+`89oV+1MHwWxv1TO-YvTUe2?Dazemv~$il6b;ca4qOe)4RL;M4kTM z9MO57t%r%QAan5ymGVhJYX!wu7=}O2uQzfX9#&-yB|AT7jc|?ghIbLYAyPJcg69kE zeQ@<_nS6XrR%^|+9W9Rg0A0jzlB7GrKnYOA2vHJgzp%#y`EM)yL!@Lg9CZs*Rii4Mi{hBkQ zp0xOp)eO)YG0fy3ggU&ig=*NsDFeFg z4)_Y=e|6%FU*Xv$Bxx+}XJpp}^)4@w3N9Ie%8-Zg2An}3s8@_x3bURmI1bvYGUqUc zP;#EkIb8RqkQ5S{z!t_ilm1Y$WPr`dBI0FeM_zdBs&{Bxhf#7L|CBO~8E6f%r4koeOB&#D*&3UTxUnSIN0!LB`>L35F;6=;1j_qXWb+&0 zT1Hhy&s~FY%j+lWVYs+Lwu#Jjys?KZyyj$Zo4wtcm$c$72So&O^`}4Nhpz26&x~75 zTAqGuC6~aTuUUKzXu{SkLR@XW$C4q+i$YHj3?`+;8lx8}>zP@S2Y(~W>~zzGe*MmE z&pCU*$Hh>tyw2M}&g|&!q!t%FkM_y%!rU$Zw!K}yer=5R7Wtj!xRI8gC&OQHvFw$I z^29RhdX!$~cd=aCQ14?}BtwWaJ+ldokkCK=N1rP1mxMn$z!NfxxlzXmNE@6I!-Dc5 zHbp)6Hu}7i+U+Fp7CkY0%ER=broeDoaQkK>?9tc3te@zsR2kR0le;5YX%z(XX`Mqb z=Z_Mioy@!LhFIK~a^K;}c#2-pr`g&-(H6%1eN>*c4!Q{Jok!QA>dQgFjiQnSM08=q z?HT}1L0~so`}#zjYu(4NBjc`;aupUa{T3EYmEL4`(mMwy3E%CR$ID2PcxeC-R?jca z&#RpQR?=eT^*UPw=X84*sqEgi5*By#52xIdd8DqMNWoU~Vpy3Jerx63CRxhnyoF#p zAZYfGZA3Kvpqf}=h+|lL*=^LoX}IM6$k{_vAotSr?s&~0)MYD6qdQH@ zh37U(YPtPWZCWL4?iMMYnJ?;InVdQa6otP#Z4bL)F|ai9ReDx6iGo&`}H)&e)%JrWsGsDi(|Bj!jhARex*0 zaH|fvF8z}faT6pU(i^CFpy6if-T2Z_|IvYxCg1QPnvZ0Fk8a|OdlUD5PUmK-ouEIw z#ZKWybJ!m}aoyOdSw-=Vd`?2&e0=+5_NHLinuWNS6=zWOo3G^( zZO0K`i+-e;&%g>j+yR>dxteyb;~HOptux4bS{qR;+=dK(eb+QgW++ssFI}&+-%X49 zFHT$K#}4Wok2)!o@6ghnMb|RNOy1UzkF=*`A$Jom zG2OSi>H9c^wdmQSe7LRFl%%~BJv6QaZcXrPD$buu2LNHZ1Voc>Amo}`jAY~o)h2$? zs&Z?xLM_KaRY@r7wx+|l@{x8&Qxi|ocY9U|CE9K)3GimrzoW_!T?-vKn(4TgM| zOpRKwY{cGC(!5BHDkEbzl=Jdi<%MR=Y%sahRj!NM8R*loyoS*k%47u1l+ z_ZeM3!Bwlp-@5^3jW@l{u8b$si(3> z=ercN!;^&fqE$jB!#bQqkoR<#w2GJ7n({vEditNQU#-DzMq<9cV#U^Au?LWF;=Q4M5VpsG|k^{KqPhupl&Pq^Ud!gM}G0Yq0@|uIQJjV$LC?mAu&+A@C za%%(=*{$QK4cvHEJWq5DGk7WImL5<**tZH?2pDNfLhA=vAoVt=#vlUDj1^%e(3WIo zmuRgSkj4oJ*PVRQ*r`2qX8Klq>32YxvEq*S+FClEwb|H0J8GB1SF|o4I?N=sHWBnV zhUH+dv!GJaa4JaUSH(9n_ta@Um~zGvIoz&kXG(p1rP~9)5a-_Q9cb}ot>`a0Ml`Nl z%*?JGtrkm!du-I)8mUN8qZY z*>BrSn>}O}j0E18Vk>R&L0(DYC?7EqJ4k}e6Vbr0u{lYJ^E4+J$D}x4Ef{dRI4U<7 zgEJW<{r9nFUJx`$a^EPKI7MiQUJK*Zm9}vPf~R?SgOiLg51+o4soM3m44GW3i?1{Z z#i&iMl1W*htKq`q;sPp+EJhrl84I!Ob&MLmAyPYV&zk~YcuC#m6}Di0thG>IHF{CW zLxA>>M?!qq;Ct@rJbdA!!zz^Dx%BOGj{PY-l}p_9fUKwY?B%!cL2g;-7O0D7&Aqb9 z)l@Z`G3Avg=NL0sQq)gnrc}aXvSmTX!;{f?8ut&1%>A$KRCrImoG9(`4(DrJQ>*NB zOoNA1M0dYc0%?TJ)+LM9r&U6?*u))Lm;jH4E0seqZtFMazl_}kU2*Q8txAa*C7R$6 zaBW!&F4@R#$YCGRSYdwBaXBIeiV^lUx1hqF^m|bh>IQvAj zmSdZLN8q2~jm%1vZt$kjzp1>OUFa7*zS4M2PEY1$kD1IeI?v`bu82e;yqyW~%5Os! zyM_~o?*V1(cJ6&NP9DPQf5}Ize4J@|O!RqP30|WQQ6mFlrQX+=yLZ}|b7UPKooxa*80g-|Bs1wG)ZSu7Fx5v~a5K=wP^%7_wYHU0 z__%V~TUkhIXZ8%JuRh});ouS>Xx!FK+iE}ZS+SDZ|oM6BqRhUG30d>l>Ik?M`EwT;iQIY!^VnFkPVKTd|Mqdn`088T&CF zh0NG7K&Q3)1%ez-D<=!1=+83m9dunx(DhR^YwcEvYeWZ!iTs0O4CD_^{TBK`q$5&f zeh8Dkc-%(yJa}>;HBQyc0x8p799RX#2TSSONvT%tX~w zb%uVJ)_dTOOG;l_AC)q0)YFZ)m70xM)!@TcI(V9kSA~){Q8eOgYXPF_a_8a_l2$3j zVwDlbR!#PGcAYmJs*mo){KHe0T?#ju+zdv$dL3s__$f`ajTb<#t%BPGsp!&lO=OZ| zL)tcq4#gyAO0bwCun+!`3qJps%XKV^L!)4!KxB>|CP`$`cXJsNSzzkpa@s`vZ?4m{n`*Ah6ht3sD4>GqLU4H6f*Zz>MslKFd zXXt5y)8>EH-RB~LzH)_5cvj<|=$yiSUKI_{bHI|$Mo{0<$RuK+KEZCPgFTWgjNL^B zDn{Z6wX6~#%-9Mss6smTUPp&aYn~W$Oc^C$2oYqJU0SPhTYIfnn|T11#d(RugNANn zhG^yPJm77GSgzakWl(CRVVc;_neD`$pG_g7_~=AX=Xf{w;NfDV2pEzK5~4a@-&qfX zx1X$)M%)L1PF3ta-qYHE3Zukgj1XJH3GIC)e%S5?ETg(dB6*DCtDM1|??Bm6dpPsB zCQf7rt2(Y;D-#EsKIQun1}GM~66&d~Zy$@tR^CE(^=;Th1}EDsuY9dbAHaAsB%+5rp|%%@WwB2T&i9HX>p2z{^1{_Z$tPh9JGSh^ZQ9y(ohznH+$urH3{pFr8Odv=|XE@X5_K2;F!!7ek?+ z|4FjTnPO(Bk;#!2DkI9fCS#H&79xO!Il~*Y4Rg@5`GQ1Gve@y&Q5j?}G{Q`?a&OEh zm{_U5PjNRY*UA&EUxK3NOQb5lC;Wbms_AcFoXj@22!}RfGEhj^#1)Jg5C#vF|!zDqYXp2y%dzu1URcztbDobY87F*6HO}yr!{s zeS}x8qQs<9t09ii!84Tw?G%?a{EdaB!qUbC`87sy{aEcPgq!Ss`BFp)DsAR$-HF=W zNSYzO$vFw+?c|lgemiVjYJPk^fWUa-0^+A%(NzZet~1_VFydu3a)bwrYc7?DyH&8A zmV`Pd%-7FEeO~-K&ir~My=3BTV_P_M9m88Ln%qvb2T~(CRnW!M4nOjvhZk{x52_W7 z(oUL30n3y?OyQfe$JyyN=~R{#Z(dB4D4bu7GwF1%;a1jrYAPAwv?WogPIp)rJycl> zJUU#xcjU}5CBH66tW+5u|kVNwUmQhuy++czfzTJx5^n3$!eaP;CxzcAHY{}P88+`d6lNLUg`O`yTOt_J~ zUO_H`EjYD%ETm=j$L#PIY_WXJ!6dQi$oo*8C+Fo42+U}$o(5EK!1wcz+Io?fKm-#n zZuXRRU=>78-b8e-p>-xPSGZi|>#6hQ{bo2-M8U0EI$OFV`(34yEiEl~xc@gT#ZFQB zq3zbKk3Q1i-rv$kj8qp@_3H13o7BZ??OW=pEyWV?5@!Y!wYI~sHEqeZze)$beZq;U z*w6^0B?w>coRcc`p;GpS_^v(!g&)7FL)>#c7nj-4eNxATiF0I*MXf8gmY5;KP~9%F zCN6jDRsL{a^TQGd_|ciCMJ&c2jik$=g26)Gk+R78jYZ(PVrYzxw#)gfl{@yW*h~`{ zJKx?NjN&zN$K6IFu0dUqa4nW4ZC;o@1w*j z0KWiw7wkJScBG9{{z1NS%;NZc-)jD*GYK`i+L7bRy}SqZws{fThk15;OUOma=+S&; z?W_8qKYK~cFRW0QWm5U3lFaDO8ZJ|&8EQuREf6jV(rQ_vWvXC9uNV-{oiA&ZUsRzZ z$#8#4LwuDp6-zYjCb%AHfDVKB;VJMau9q`Xmp_4@sFl8{Bf-z4nEyyN1qE&02()Pa-{6vg?f+VE$?*T#wsiZi!R7zR zDgU?N@@I6-e>O?~Gq_}7{Liu^BLN#L^M5<&hMo2QM|HCCC%DwYW{o0HoS$c*hr?xZ zaut_^6^Ey1X6l8b*@BmpC?TMvDP^ADBA74ob4v9(<+yP_0Ia-svsm&p)O0*|KYMRs z50(~9&{#&-22l|1lG{Kbs>2b~E&yNxW zL1;hV5Q%o%=DFFWw8Q$l39MG54wN82zhB#T9=Lv*p3Rer9Ooaf$XZ|4jZ0$yC$JNe z>N9=Pi*NGZ#9E;|?Ljwp9v&X|f79Z4L77#kTo}Czc*c;k{)GBAc=VRNw*5ddrA(J} zCfuzAemU7Z_jDb!{SZgc&Vj(!aI(*;^z8Sv1GqNuj-Z>?2(u~*klgnEeE=9$0F@u? z?aLMr0e775_*eE z^-UhJv+C~G(h9=g|C8SS5 zd~@eSsn#`6V@s!l?M5%#If#gRuiFbzAI884IAIK5Bx3lun%{O)B!Nvc}UeG7==J)GcJApP3t1IzepJ&$E4nA!?;zdvh z{*xi~#N4 zo>4%Zg}@bn7w2^cO=XuAs#hnOkNDc=Mo*agdl`IVhiL%e^@fHS$<-hPc=fx=8>N54IWtIxklBXvyzwAQXHvKClO_i!Xa-@}OD-)d6^7 zyaI$ki&OCD(Vk>sT*Oef!JAW6ERz?pyTF~?c3|hU;C3Txh<^j^2EMjT2nm5|Hf(Nn&_d4$n zla+GGe%jkT?AB$aMiXOE4el=zrciVlj+KY3;4`9~Cae%mTYn`Rh$8%ExRh|EmXa4z z-S?b1Mj0d@;R)XiN-;Xs{pIjt5e%Wl2qJ6ijWXCjUelUi#>Yiu69tMS`b)K> z0m?i9D=+B-3WE{*JdH3Q>Sz#-;9x6lBzPN`#N8?5h4+W;SZ`6BNv%Bh;A6SZLCak3NCc^Efmn1FpS+88-ySWw6EYBLc;S7WNCk_3cRaGj+320GWlf09-|eqyoa>U zwH*5`an1iufbh0>s{P==J9HJ;2XVSK#*DZJtYhsE}4_L~GLPovh6j zjw0X&D8m*0(yjx|!Z$xEB600y`KJ#+@{WC7OASO}vmxQUYDzkCQh$h{GA1~)g@G@~ zAC~$fM5o=qzGHhBKT!ZqJ|7!nJ85XpRqhAFKl?`@WTn0R8#2R7FjCTt6HznhX*e;P zAgDnraI)o*z`2m->aQvi1Gq7Ampb8|x}=LPffmM^9*0FwOqoSjO5XTrNiAi1h;xBs zWDBMcui&VQRS3AsODx#}^(J&3#hqFY-#x^0d6@I8?FTsH+>wa7-O8J@i|8MQyh_-1Cg`zcS)_MUZ!@+lnM`^&sc%W(H%mf{D9tbfa{_hmZdph9MJ(wByQim3woq>T$gOom^YN1HUy! z2iq+XYgGKGSM35op zXp?bjMmtrkQ0Nas;?y;{gD{lJWzg1Y)4y%IG=^yodtbtLYq^AOBYF;m^_~kmE5OA& zq&=r5EEyr)<6n4)c?G@#qK-I}UHt0rL~Eh2nEtz9aT#j96buMI+cr}*^>H!lKx9W| z6Y>ws3xfBrcWMoD{=k1xZ?!ng*@lRY{b~RaLqQWLXxEn!cc-I(+m<+1=L~XzFIAG; z<0bXd#gq_)p#jf@AfjI`mMd9IkhaM-+HU$5j0VzTs(ckWz6_JN}> zjTmFrQ8}46m*-f=%XxzP+h@5#BTmX9~tPOXqrEHU%E5WACaC$N(+h;gBg(D0uZEYL^#hYv~KFF{=HQ zP7)blC%6F!0Xd<+THmFFxk!YcK1;rRk;fmi?4URKIL*S&{Y@T(ZoBb!3J?tKU8-<} z#|7vK)5LVL3Vx z8P|fmG9o(Ib{HWn7eQ>)mVTo~R{uOb(u~BzKuFhRmZB8j(}Rv9|F+4bYSbpm=h(?| zQz|Z2EEyt3yHfM$V_zvRATCd@rKwO$W!^VZ5TQObYSpL?EWd zpX5Z>>*y7#j`@KQ{%_#`0@rwvKZTW4Wj<@bsqxM!Z96F|o@HWIwVwEl~BkQn?WRn<9 zvLo8#9ordxqJrN0WVhkeFPuyIaHaqbvv)iEe|brk)pnV-6j_wQ%F$3LxjkvdyFjE2}akuvmCG!W}h-IK%YqbWhc@RS{Yq2WhI9KU8MpJFQDu8F)Q{t2(KuG zU(F|94HU{{bz#&`PponAeC>6j02yq4xE}Tr*1Ln=fspE(Dl@;@y|0Gi&s8xFJ}k_p z-yDfk$CQ1EH&`^QS@{AB>?!bMJq`tr zRlE6}ufw|9$lvIBB3<=~>t`ff^68>;i5$Rnh9}~sAimnvF4l2ubx&93?z$JvpUISv z>-Ddc2SY|65+UkdhWh)nrE%B6vz%}wXra3Tv{4)*q*-mlve-+6a%P!zC8HSD4^&SKEMLuV7)HWZwMEoH+G^`zS_`%!g~?=BeyK0l!m$dra&PBTiSpq;jWHBC3;Ayse;z& zDY(vTb7Tt+PMEbq%Df3DG#$M>-Ekb?qM$zb13aA(o$I)3Tk4Dym>eBNeI+8IYN+b= z!aX)(zyao_Pt}0tMj)R;^53S^aX?1H?av3M*4{dRZXv_cyC&aPeZuyu!7>$>_UG97 z^(j;CiEsmMY2_P1Y>S94JM#kE=*-xP6chfR0X&W*7)!`BV~kO9JhHaXM8^Rs%^Id1 zrIm?c96uY6pybV@;IMG~Jm+UAzPC%F*1OZF(=jNndj{hbp(`Ye`zOer$!X5>J)v`! zD6^rr*1;O{_s>;V}+3cw3IG~<5{f&)5uPsjk^nk z{1MfMrca|25we>jJEH9W!sr%BkJ;8=l4etfAvQg8VU8+VtT>I$+(?ECg+*l3L5}OT zuSC}%Yh16G@Y(p{>+HyRLdg&&ODTQ)(z8aVH_#XB*iUUnXzIn(VNY+T}f>#`A9uN;Q%LE9oM7E#3%ox9-Rg`UIv0Xr}8 zef3X=Zk|Dy{c)-QrW2;FjXvj46^mg-Q;{m>Tty9Z6pZPjg-`ywaGX82z<|c;U+2LUJ(?gu&+ESOZmQ#VIW{%9uwjjI(BIm*C3SXo(ggSH0@w;HM<#gBFtTF3J zAzC#8+$U^98GjheO8%BIFpSYoe}(tM6 zyF0&f+U75*2aSm7F#`F5Vft#FU~#w3b-x!WWxx2iHDCK+_$dD+*5@F=Mis^{-!N{Ov}hDnEN*&RKW(r|=#3AY4SH&Hm1^ z;1gJwYoa^Y0^_`NUs%YrP2;jDRS_G9=*!Bwa zDD$C|l`eH`rxxl-KhNAIsz#955)!g+8Q>Yoy=*cS4`ezSxGL5@>|gysi(YV~9Q+|L zCkt~VHD*}T3$n?X<2bpCT8EvGUgc6>r`M~W`_*hlD{1^B;A~|jS9wwQ3CGevF%|#1 z!8j3!`dpL}gui|kmc-k4exUN@XSKH*y`+`@EgqwsU z7g{*cAB4b{1goz<;3xdkj?>Pzdot#&k5J+QtiLoWKYa*wviL%+-ckudFhhmpmJhCA zzs#V}v9h`o*|JOLQM!f&TWBAGt<&M)A91N1qMqx-3NT{!hf{|&n4XhnX!~A9kcVUI zpQYB)=@u+F&&XM$dG3E4eHAF=CE;$jUDm*Y;PCc6h_0}cA;&n8Ia-#_et`&&qO_9C75#VxqQf*?KQ z{95v&KhkINBHNrbry^`#uy)?_i5exS@cOPnpI}pA(!TIAu1h=F4r=0PR~-o0{o@2v z8Io1ZU0CreJl_yZYYbDH^Gl_hN*RCOF|A+v+`yi^@7Z|>OFKpdP2j1cZ8wMBFHv?$=K&P{@4?_D8k(vruOVUkO#F7gu` z)O@dhNrUULG4{b}jmSDkX6i6A91stai6``90xcMUqIkw@p_v4bOF|gdEVHgQ%CyY+Y57};b{YXPG~Yors7rCn302vuAly{p&rL zrg_l34n~g-`u2Kd-XKXdvvXsRvuacmX2V~r$}x;0$WPY1n}%5y{d$nF zlL31yEeyhy;vpT2$H|3BXHvoDoxZhX2OdMWu>{cbAX+v>U)ngI{VN0ITO*yKVlRAZPNcbZm*-@occZ*C$u^5Tb=Ub=+S z@B!9PIW<4r!$RoHQd&rK{1W<_?e9$Xw^TtLVBUkJtm zT6mH)NEMB0M&zz2{juW|iu~CVabVY8V$`?V=MnJnYYL~s?9X|XOEH*^ytFGMW?`zX5gWfIhBQ5qVNL`(-GhfW=gYZQh0M+J@+v2apdk zLSClRj#@05>9CSV(G_6e>DP%w>rMtSER=EFSTb+?i(YGPNW=&bVI&&DA{A?Xg6teo zi0JUi2l+OR>4iQzX*#A$vIx=A#?$y^eE!guh&C@Xtk6`OW27RO9e0y;7hY7K2%>_+ zlyLa>d>Xmc{6+KN8G`sWoGNB~;~ha6`le1_7oFy|^Kpcq;-Lyp$5y;!am{nkr6<^P z=Kkw^E8Ly??h6V-g$f(<2#@rKdwk0=sYwoQuuE!?F*?l@xO;JZk0J6;=KF~0cn&dS zeDxS?yu&I1O(kW_d0#JQirb95T344J!5nkHIH3j5JZaCyN?h5MEF`F_dv(gtoHnJu zOkc|`sZTybZmtz@!&=(QsFH9e6K%6zm->ZP-sL7w3dJ%7gU7t@upqOdP?KJC`|9sT zWe@69_GMhP?MIE#5@`Oaa~FurZW!V0%FUB7YR#yqBv&<)q+ju`BKVyMP9m1k-E`)9 z_35sh8+~_W-*quA1iAg5l2JjSh&o9?;!_IsGViI$nL?Fp5b&WS_HLy5#GTNu#$gg> z7ic4Y^FfSd5GaGM;2w30x2HmL*UN?=QFgU$iUL&8stmTtfF)f0a9zkZ(F>Cw6oWDP(A&}?)tmXk_|s7{y)-sr}tEw zP*u;l93^kWA!xyk^u8t$Sijd8bm2)5a;#7te*cYb8LgkuCPY?Y^L@(`s*&L93T=pJ zC#~p_kSYYT{3MyYvvg*EDjsL+4_j=mnR(Qf`Av|IP=k3fWi_dUT={#){_2CH|wp}&wAwDoka=^ zw#G$l>_+D1W(8yS)_cfm)TMq{2_M&Vm$lO;HqUvOBjdib&DfQ+_DP5bs0yFN{n1^pRMcn9YGPu{vI7Te=?o8u&8s;5cz4w@mSOj5YaF zuUT8-vLxp?u4JDMfM#|b<(iH{+l;;OK(jRCvrtzS9GOjPIID-dX+?Wdy)R594m;g})Tqj%{4a$(p~RjJq~IT80=ov9J;hXcd0T zU)$&=m~Rtsc45aQxt=++Z|1Uk(lXJTcW@)A*TuzR;gh?xx4h2{75H5%PKINhnW^*c zZm*E4v~uM*D@4vBB6Y(d7L<-xp~{(-*-;xlqtsW4#pMD6>Htxk0Av!#x?mWdgHYXl zJVJEiqaXLXWT&xxNsENql`%<{v~(CmJMRe4DA7`wbpCBI`fg~a;;7apFdxQ?I`w<} z-&9-7wd7!@&L~IGuR%ki&iXzQ8H@Q(&}^XtZ-x{K+sjAeBDH8KP?4G!9%MuCd&JgX zCBtjO>Ch>DyEYvm@U(Z-kLebTyTXSQu;%hpO)GZUb>&-PdVZcsi_Ua*>>Zkh=ne0M ztKDBjw2PCMP0SZFjCXlsOG3l6l3<S>&8j$T#Fv6 z`re3Ui#fP6)U>ge<#T57BiITTqTmRgNr4bZl%nHG#0gT&Ma67%(WJWwGZw*I@iW+OW-x~FxzZrlNABcL z=Ewj|gbTH$A=EL@WEXMlwoYn6It>lwBK!r7LOqDK1Q1F~G%RG_4E9n;U3R2j+*5^- zZ*h3VnR;9?WdgMH_+H6l&ckd+Jr&EzM*6Aom4?!ty~y5*T>eb8!aYUeLz!$j-M%y` zzY-Xk#$0Jk(dDi>EitWYfQwbIjNUTFvM~j`;(7&knjFri1$ry%=LkvAOxENyF5>+$ zbOb`!JHsXPMgx^ceESI>V@ZAlYvmTO6|G@E4xAr~LM2`6S|k?&c~pUae^qxC8$guo~G5CmC8?b&oLVR1!D zcqAibqP~m!;PbMbsQhmz8Rq}OlKh`28D&*j18Mgj&VR+j&konc^Rr~jX=|DUy+Tm6{Ne^dxoKL&JRV?$db zV;Eju7)PfcCAu|?+j{g1xV-kpGC0h^^)>VLb#>p?7B=i`Yez7@UFhyLGL)>{%FltI z_2OW(>tyo=P_bQ6eZFltT~|D#(or_5yqG>n&2Pd_5f?~>g3Uz5$1kW59gWsIKHfJu zJ|4p_Qlx)i0r{yF#a{&OsSO8vqeRcZ{ z;70h>0Li(LmdOc(Dx*{7|9pctC36LIPT+|BuVMv|_7APm#o77LRR8Yw_AhIbt3CvW z7W4uG2)C7X6|eYVB*ASK91zOZ5!+J7$(#n;8GF2yD{L3~7P;NszBAksT1 zpIkf`j;7dRY8WOM*d2U|MsEX?p2>Xd>f(NvSN;gqv{1f-WabBO%)WFT7!!KgU#CF# zcDHZX>g(+4>fiA}!I?yn#eva@*z&6Pw&NX8d-&;SvuM3T z!P9`NtZ;sP*L~AMXnqIpWZqaEK+l?b=kl-uUEt>ecrm+UQ^803rZ4c{bH9w={!!7A zluh5N4Fi_KBLlgCd8M-|fk<6wRe?6}g@zx#cVBu;zP0=S#DEgzp~d5y-EU)sI~K+{;{UvPBh7hq|; zJ)^rOG%YZB%Xh-;;E(YEbfbKoJxj~CWytqJuZZz9OdANl`31fS$m5%19SGe7 zGVbC7sn^rP2S_T8sUIKrNFTgb{EP4%_6|rL6%hHl9e>6bhS6*AjJOY4n+Cx6*@RCD zxZFs5irtIRQlkR`tbovWeF$`NwgMQ;{;C|u(nhjul z<|8t=KEC|)as6%^ym@%Q|2z?a2lD`#LP|LnI0ngUe#*OgX)*}HllDXrWK#BAH+Pce zm72!2i6yTcb7Ij8WXrN0N(l9wRdwZ^-43Ho?0&^*Vea*@kWsewy!U2}QOn%66jIOX z$4sN(AMIoQ`jpM*i12!3 zT{FZx?p&c{S=DL3rMP>#4I{LrA1*HQ9z;|+w8QX{j8uh0=g|U-6nBinR8mWyO+#E` zvb0*v$I0-x*c?gWTyt?u1kPg)0!`}(cQ%$$AD%uOUuCf#R!FOM#=-X=49!m2x4df6 z+)8OK6Q1zm>*)eEiFdAw1^rs z5UZ}fHAOBFOznsfaxw=suABXxx|Qgjn<{dych!4Hm46C8>=HN|d z@L7&Elg!CxI)`z|O%EruE!dj8J?T@JlZ&yh<>*EKh9#Ss`j+?Mxa~n5UCz%_YtLGk zb>!6m6RJ@^8L3RDpJ{n#5LX|jq}uLko9DqkPp~@i>|f*erd%P}Koe8JpKSF)9AW-h z%U~wXO13H5;?ezDg%P9*5XZXy*(#(d*gqWM=gHPWHIQ5{wIZfjbb zt`l>}7T(^K@uOH>*&04?B>S#<-xP7!K|_KvBcEi*=S?pl*DDncgCx@9&Jt9_o_B{C zyne-%d}kqm&|5?+GVi^;2Sh@DlVP*a`A(8RwzS$lS8lHhdb#7)(JR!-$s=@rqV_b*Mi2yV%9c zO>e*H423G7snn&UGvfHb=ol2Pra)~>M6L*{ig&1}Em4PuagLPK&0;G+pwbr}7_KZl zXpRE73D6+6sxYlkFumFKZZ|s6UgiNyrr@+6y(4&9V$q$FYPOpS-i>K$bq1oU zyU6wki;$4K7FP$bU*M`m5E`jsHd$v1Ak9gPx+z`rZ&3XF_1TJn5wjA}b+I@4_8pC_ zC&#&WED)TIx20ct);QHzIuIZNDuxduM~Hrix*;eDZerP@cxBcf5MTXYTC`$_42ud_tBVp}L zmp;J61&}`F;k*J5C^+4dH2gVJ@j=>px~198hhjG|Paa`N#d*!dqG%-8EeBu( z10;ooUFhHOmdVT3C~IJc{)EuBKNjbeW18@+<%+7Um-JPRiF%=k#qw1kIm~FOqrERi z6mcYLlMDb)8V7&o@kXL$GiX(;;TISrJ<%~N79a8i?nzKBAzdzBjXL}-@uh8pAv*P6t zy$lG$6{h1p1nM4-bI+V$F+bV0vY8`p#}5sFvsnH<8xG57u&qApK9+_BCdVxIM?6FM zk-*R`L<;ReFXZ>4W9|vBGGlh#cVP5i5U%Upr6zN0*!tk{jVKR^YvA9ufsB23PH6;# zoV{Fkb)0jsCq#6Q5s(2{@V_>36`rj5rqvdaQZfPrjD?35z1FdH9B?*T*-UUO1Zw=F z0=qq37_bV+{>JIePBJoR^_o<9!tj+!B>|r(NK5N7)_C#ggMnfeXr!rgdMpIjWu>&} zXOkQjvhz$*iH{1HDkW-}Km5@?*Cw91q@?XuqNW&*UY;&*=eAh8G*NlPQh(5U(;D9_ z?OUD*pe&)nw!TW`&-J(2kgO@eckyJ$u~g|3B>drt6KZDf z)`NL>Yh%_o{NwEw+7WMPl9jKSk}7znYJ_mmGlGg8oX*`Km^FG%PLX_S$8T zbSHF#!N}N&_;New`;_DSwg?{e((VBb%OZ`eyFQ`hLAVHbs}#KVRrS1tLBn>dA5_RCj*@e)aOnGn1rrofpw$!&)IZ~I1)=!vx&jdY>xHQI-ggFLU zsqa@JCHR%i8h5Dng{9B$#)TR7V;uwp98(~e7edY#eBI3AKZmsva(=foAYuuVk8`k; zjB+;IQT3qX*GQr-;VhfFP-6KnUD#i*)lO&H2GB* zsrZR{$GyRzH3mwP)lR4!qHun$g*OThNkAQMMUZc*Z_c}j1Y9gFi+!K(h^FHi)3|FyW3@Mo zDQ8Wy53kMM4(@og)tSBvC3p`@x-Lxh4Sk90HFS>zc$`$?`04fCHI*BUnw4kk#*c?x_j2M*&apspKo z6Oxb0R=Cg%<7mCVbW~<&i82ddE&q_Ev_&ZYX#QM=^gmY&ah{r=%-F8*_-P^kc4KBW zIT&}3r1p?lYs{4h57ijYamXHHbh{j@kN`i9cJm(f*To88YYlR*%?W>yDxjh6$# zW!@sSM_u9MCb=?dbj>%2mCp_Vz2PilJZR~3WSk+dtSj?N58q$Ok-y$#g7_wRHOEEX zZ5-%|Ji6`0^_=nA*zQs)#L&@37e;UXHm(?Dua-wrRQJCxZFC-l&C`8N34RuuCwc~N zsx2bMJZmpGvPHedT@UnFdRR9}7ofZ^4n~D84a#15<9K*8PXlJB_G?ZQY0CW8SNQ>b zToHjok!BS_RwOVKUix*kFdLUTKr0oa*$KGmNIYH)bK07tob3fs0W$$e}R3(37MFD4tFey|&Hti8cCOFNy zeks$(nPJRO)KE6UvaELi75%r_S0?uAOP5DdBUv}5AjjG4bx65^Cx@V@cP|V;_4TDP zWH?_s+4Ps1lP4BQK{EC?K$W76OLLBxW+vQ*5Z_e2NF0PrqfS*hi$H%IEP>B_wlUMB z0MZb8m=lqU=DHoUZJko0mh}AbSL-mOB4Xw~`g^7~8fe(1n5@IyX4>l8VO ze45a{v_XAvpx-%zr3+AaMcQ9Si$q4RC0o!7dq8oQu8-4+D!me&Z+>{SHNz4uTH&br9)#=r~>CR<{IvrHYiRcaTyga|#gnWM*@EKRd_dg$~8-G&0!$S)w=Y`eWVvbEZW~f1BAW z$Pxts7jOpc$y}N;U7`Tos&@P6Z|VgqMke~2XWZ`yOt4Bzhx*?$4yTE_4U$7EZ!?-S z$=*2FlxZUcLjl}}^G1}XD&Q>1;dBeN4TW6m>Ga++Em5*l?OsuHVxfKw(8|pR0ftOj zCV$46Y-|S(7z>BtcM3q@_?P6hzy@t5SUXPg7Qr#A6$upR`jQK(XC>4kK~zCt|$vV$LnK z5=@N6ro>E{PmZLq(_gdr1w2n;upFFo^Tt~lNIPrK6uR<+alA>ivp*p1l)qp3uwr@D z#5o@@B~J%-*=XrgdkZ-ky)i|+wqx=(dqvldy|qPGjT832N-D0-AO`F0)Nh8*q{qM3 zHR5k7Jj&el8P1)WL^OU@0jYw@zux zjmg6ROd53t*glVNNUYRV=a6|7*!n$4T|qM#Aw>D{x012@BO{FlH~hZLuz5? zcmn3(djt7Yc;th9V^YE$2f$bC4c?3szHcC8{|S@}AOzJ`sBfgSxoS4mf+9Vt2OLLv zcQ2Cw67RO-H&W9Rc66?)kxjt85`w;T*1WaY)MUFMPwnW^|w2j**f@E&1UMffo(SiPTJf zP*J&o5KFbb`M$815hwJsJSp@cAEtGNG4vMZC6d-MAzb?J+z3sy87 z+>THNiM_Z7W0$V5OG4o~^yG0&%4CLJy^s5ig8#fECj3TF{$Z7UcuC@)2mBH0M~S(G z+!EMRX^#}vViU12OTvJEqsJe!WfeqoUO^xF?z;d_>DuotiSexGT7gUkHPR^|Y}p~x z$^K{X8SccFnOK+$%ZP6k=Op_Szc5i%`jG2LdlA3bi-;?fvsO)jtn{OW#GNRtU%DFe zIyVm%QWr_+n2?{?B0hGdT_cy97xA5@4_c!^_!Q-kfA}asf@~Ro{CrsbLMQ;WA|$P$ zmmRkUGy>Y8_}*l@5L(nWS(b-x{))EwF3oR#G!TF%S>#e`m{vi7G=hsjOw4?uVE0FP zHCaw!W8F}-j#uc_iqPkE$_KjjO;cLYdYZkdNd$`h2ZOVoip9+NZhXA*G;za_Mz-$&hlIDPI z;;VT5hbc)cp=g}ZkZf0S4o7(0PPCkFSjYOG0_hP{zNSKlmn`Z^BL8;vNL|;k?5+Uc zU7}|NEz`lU^{g)EQlOU$SOz9RFGZI9A+V8>0*d+*)}9EqP)swQD<|2c`K)N{{OKP4 zPfZH=X*tbb#Ju*K$0n+5mwUmo$kHVRWIPo=^T;TGml#DP8YVbhLOtxW!$NQoJDr-5 z#WR4z_n?anLh$}G16ox=+FfCF32hIZGoS4hyUAYLaEN}+0fX2<2l(`KpIh6d4em?5 zVVk%+i-!o98-Iw+oszJ?c|#?ki7sV|A0&&i5Xi#ws&%1yALB1GdHZ9aWm6v)q!>L7 zq?xf0yr>Tbb05rVJ>#`vIBz7qn?rIoD`Pkp)c@fUdLg9qM`wLiZ#cau00%s^p&B1j zG%wKn6bI3Y{*j)dat>szTp-Y&TX9B5U{Z=O{q4_F$Rd9U=ay7+zDOSWbw9%EyIs^0 zVWU>7Bbd{#6~JX|i0G4R^p@%6AsK@)qJH_=#zo|jgW&zy`OO|tJTz$1Rs&YCV=GY} zN@q7IpM3W_2VcQUPYl3qwN?zyGz6EaLtIzUQCy*OH*&b?fpH}1)wf5F-A|U#w0yAN zO;pHhQXb59T2l>e?tF2JEC@>CUZkS)8-z4P*v zv6MGl^V|d=ZeY6d=14_dcXyZSMTbuv{}AT79HkHA))P~cGMrZFYTp+17u{QIoi6*W zk5-QqNJfJw=nWy$3}kC<6Y!@)da*8LwB|k& zS4B+gPO*2i7l(mPX8fPMv*9Yjx2lc`-brP8*2p_SM(;ib1BuTEXE;)@)ICt{q+Iif z@8%!A!lpU2vFVz+gmqtk!SEwN{0M#Vm@@@^h79oxVnqa;9EbhZ;+TM!Qv8o`YkflJd8vqktk-@#`cLH| z2|!5~=c}G-*wByNT*3{`?DgKv#&|$)7-t88ksLv5Fx0=xdLDuI!TnP0SCb-jRLMidJ#97uD+*PAa+T{h0{ni|z!9auUc zt$7e6uOzzPv@mG5gO)kL){YN(PK+RG;XXnW2$)mp?67N^w?_v3(4f7*xV)j;tG;ANPNi0<~2U?>)6iE=@ zxk9ap^PRzW5}gKEcr1$PM&Clnh5QQBD%n4R$27_UpC0b~LFl7h$t}aQcgwH!+21Y& zY*+N;)G8eKwzXW_hmE5-3o8{gu(tVa#G8jyVG7y;L+2LaH>n~sIpe~TW@8W2%ze=~ zy<55DpU3iiRxN6LX7{hZGhyAXBq><4ABCj9)pgvkSrW=C<@s@{^w?BwYS(4wXCohv zAV;HY4IeNXyx%7)4F2$sx9{mXZ%wfVR4h4sCg?PwltoAM+*$1Den%K?3f%#Mf$(UU zj>Jw#`{dZOMinkK5TCt)IEILpcD%u_E6>Q82GX8@cc^U-fhS5 zQ2LdM_LkL6All;#z1m)($&0fnu3JV$PKPUY878y1xK}IIi_E@JiaRM9eG$Y)Qyql>t0at69NCv?5&abuEzsI8 zR&$2_D)gXmup+!>$f>I7!=8^n%et~=n#!g-V-C9I> z;0=#@yQ-EC0<@8vb|dzIFj`T?C{cm)Y${)sC+pAYS4qvzQh~R^dy>Kj(O8Q&6*}G^ zqm!kW;~Y=mEPx~VP2ji?)Jrlg8g_lb-JNtgfyvK`N$K|pW(f6o_XOMHbgP&-kH>|SYYHY;YuN%^#p>lw2dVP~UY0`cSNvJsX z&Kmc``w$O|idVdIQITUY8|_^cMy4jz6LFLQNrOcP=xc>eq|D|3cGR|J?G?}=H- zCNN+U|F}~S9IiG&iuo?#LK6zaB^5U$)6Tk!48o-^v8uSG7>L04Idb|}v^cqy=`TZJ zJ<=>wxwV3F!OhoIc%sh4heG+O;R=Mrr^e$6%A-f8s`tnhSJ?Q!o|cSrTFbC*dJxVthzoOQw`)2zWtL~wS21?ozn+hPt56BbuTeLH4@=uVYN|az=_2LNtUAc` zT~H&oDNXpx<&H1jk`~Ufai%x!*t3w;CKU{=o%Y>XQ231DSz0LK>BBLyEMTkY_R_^Of`jRfzmRjD5j~x!lovf3&zpchG*PhX~wbHD7TZDYh4qroLoJfn$ti z)tat*`?9Cu84pv-8B-KfJFQWfM!s^jtp)(?OeWMu&Gz@u_1wh^W}XdRI>U;X(&7kZ zfsK8%&0+0RN}mAl1C?j0PJ#D>RzG#keQu;oi4hKR=iOY|{P;fTmZBP74I0hlfQxT# z@U-oc-GR_Nw?VfWR+hf=wMk;G>QRMcJ_G7LQ@5b?MUu5Z&-ymmP{9&KDsHXW1z4 z{qsIUx5@#v+~(7HNjC|VD{)JC-&$8!RV3tTEuya>B&e=2;ix%@dYh0*U09$cB**Ma z6dG1xy8g3}z%qE`js}N3>D}p{r`wvITwx))U?e|~9P^=xQ*H1WT!z0!Mu?A}xt9PT z$%~~+%a;L?Bh5g{rljZK@$umGwPYN=D&$8%Px}>MAAEXFEK%5^%!S!vV;~&S8wSnT z=hsH#T`s^6qQ^}1;L^Bc;Fb6^blcF#PfI^K|GsL1*BSa zRYSj#=LGt6SqTUjmaASrJ~2_$YQn)7Bz;2@1#>dr@cJUO9}QC7i{Z6`QMQWaVrcau zIxB{8$;In^0qLMi?wTC_cq%D^dUAfZP6mdnS!k)u3~OUsy30;D*4mjU$2Pemc*MLK zFZEONBm@39@?-ixh0Tt=X2uo+c64c}WIO3~QFYwJs%aV+v zp}E>3d{AK&zOP)U$;mzUNSfbB1P_vIEl2$*`dAtbQrW;jsmMGxy%L0bi5!#YNeWdJ z(n@Rll}oBVsSqEv*p)zL;Mcv1&&T1?qmy5T6gHmM7S8T2?A^EDeW6t&AlQ|V66uzj z%3nH+d&48T0oZM4)`>wZKn(}Ik|Iy1JJiQC%X7S8j;h(A zhIike)MH`s_EFecd+CwT00K5C8)QekWiL|cV$3mSD+J;Q_g@%lWzHLvEC1+{e6y%~ zFsU7=9LW61-ngMfBSkBq_JE28vYh&`zD*WmS~V+DXg@ZH&pn_w`e=a>!XzB7q*WDD zjH{VAO>W&hRnloz{WUz*XN(0Zku^xDZ&bO!sp#mnKKq^6PJ-#R2!JRxp@sR_+mz-U z!Ud<#JZHlxYqZdWVFXVs| z#9uXSV`}Ejz0QbNij3&Bvi{tWOV$%mONp37%8iT#3zOesNKrXcm1twsWAwC zh)&k{NDLDzhgnL(96PwLSY%CjKEDNF2}LY!jAhRL?ieKzO%t0z5E9$~pvV+b~$o#E#!h?7vOct6xlUeGdW~wK&T^Ge9O-xpaJ*@5Te7z!k>?Vy0uyaVNKM0_ZivA+2Ek>-% zJ)FtNWXGqQFQEKu;l|mh0K1BBcu4;$v~2ZtwJ!ePdduaEa4jF>fN11;)g6aksBxYL z7#J_E0t)@FowVEcdOt0|iCMNCu-I#K&CFv-Z&F|*fJKn0ee}ab-U*U%Hms=a=AK+0 z!CF(ICqR90oQ0>{6sswL_m$q3bksR zCMq$2H!yS4PVoq?~h~~z&1LC?U@8us|=^>6)?mYO7YG} zf1K!7yVA@=@6|ObQQpDWNCSAv3a_>HMTSCn7=AtlWZ@IO<3*uyvCTS56tyXWUsy1G zcuSuKD5?B`!@WhGTL%CTg;=e*bF8kn31RWBxXAmWmt_FpN{I07(Vpd5jR6mPqP z;!}^1v*<)pSps$vEL`I4yu<}ha-eyT{v4eBJ|$K(k!=j#FPf)LeXOwpQEebj_AxR& z88h9jvjwhbDX-QUZf>1yDK_9&twK6(YB|H6&e+Bvy7}vgfuoI~xN-HvLFpRNDy4O? zU>tt$oRU&0YbqkIg|F`+J1KRhiYMUbF!O@VC8HcH(radZ#pHe=A$rAt?4z|G=7d`@ z0UD1?uYFyj>ZL$;-^gH0NT!#8UQVHv{$)$D9kU2RmY&oge~I_YOdM%f33Zur?f6US zb;8^krftUN_;Eh3Sr${C@d@~!Su7L1@peI?uvwAUeIkqmkR2D(fK7|WjOD9r z>l4vW^My!6kThPcx5PEEp?p=u_J%1IWGg?91EX1OPbVgVxsBdF3&?c6F?{E`v zZgZ&%%5tJg(&VKkwUKF1TE)~2*uGXymhZ1ZQ&Xj&0+GemLeYY=M=Fp#B`W&f6Y#jw z5$fMoRYL~`!oAZPVOPYuTOEcPM~2F~Q4Y0f(CZfd8W9@YNPi`S9;z8?m!*t@ z#n%_%rMU4w&|o~85OD?C#MrnhTNNg}O1#+4+5+&>GC^(M7$$6(oJP`xDwO!NezzV< zbJ^|uI~%qh>acokTG-;}NH&vJWjTTedhL+y&MBQwp6RJ}c{cs(Dj1bE1~sXw<{=Y5 zil{8s$l7~=kCw1-N(V0>V2tck7@szcXsYE{7vB;YK5?mC(W6jQ_!vOZE!F8)*NOi`=)D#c^&574vp3*_Zpk+XLOziT`dti#_GS)sDDp(E@Fgh!2b`L;<*bRGF>S-h%pifR=!11(xbB+5F;@+Kv(7Q z5iN_ZJi>QT&Ww(Npv``3eo9_$xbTVZI^4nTOB$js+nD+~BHKNv=_HmsCr3P}m(jZF zUQWLydcQBQ_g;iUzNY=iIyr7)rY7BW(*7JuI9$DSHJ-clhVJAxaz zl2KFZt?#fQTMHbMl&S0lpeoq`g1JaS{qoFJo_S8t0OV+f{V0ewEosi}J^lLD)9ZMV zrG^naeqp88iw_dfPSWi(_ruE?ZT>8H@v$cG&QtGmVLT)>?S%`f{|ctzP{O?U{0<$0 z^}_KjNzlYxO(W*z$luuXVZamaD;5zlAbYgn2G9`Q=B*AS+)5LiRVQ@G^iU8J3uHZi-a3PCB9cm;phlN!ELekaq*kK4m zYK=1T2s<){fvnX&I*uN9)%F}r$at+U_M2Ou%Tgp=jBtvgarZ^OiH(P+zaGrta2h{16^p90QOJwt zDy`!g~IE-gNA7;FT1>FWkI= zD(a=^i)#Hv;{5h(3!c*kOLd|x#b|`)49(x0ISa4@QRf>a!#2r8K7ZpK8~Ig9a(Hmq z5?||9yxKOjMQCt?SM1P~Wm*I&--8ZB8KTvEKV`pZ<6n_pv?L0!+uH(%no6bY{2cCxgat+KE_a-H0<*Lr6bNs)=PyeL>=Oy1QOLg=I5VTBDNp zFg@BLZLr`#!?L&Iq?C?^WmPS^6@hB64f2?VWiS0U>t5qXd@N+@^zQK(MNc|R_NA}4 zja1*9Hz4BWhOm$_t7KH#nkn)|alepyhV7QuLZRlVOe>R@WIv*-*{Q z<6c)_>frSBi>$oTWS|=x9CaytAd6vrf;uYT*6|&A5KZC+yH4LWz@*k>UY&eF%U8pU zcazeh#N$>a2VsI59}is{BPGO4??v?j@qw3m^W8M|9z0>IweqcP?atMJ24H9B#Eio?ICNmZ%zo1W!C(3!QB*T(&(-FOx|-6}-&?gHBGL zMr9|3gW$e&EVL6rS&hIN8uyX=%ngdqaFZ6|#Z{1OaZ%C&4!Qf2*;a22#~lyO(Wx7@ zYEud>YBM^7;O}|t*QmR1MSwD}kNM~rw&@7dV`ky2NrZs+!U#LZYFbSx2@}G6Lnc^U zPhb3n9btU`(#2=4G^I@;bU0WhplN|8E7AWBPdb(J%Chm6tmzNi0XmmKhkkNJj(n>U zM?Y*-_EuF3^32_!k5!WcdHF~jnYXYJ;%gwi4=OvOc>cyQ6MN~Hv+e4$YYK*C;>Fmr zk8(uiKhU_YV2-0&Q+~}m)yW(zIU!$)(DX!+|31`8pD>r%yi|Ph+!n&E7F+75zv0F* z?vM-vUHP528YL_c4(g{`@3SgbIB?qs4Y+Oa`bNYZFJ#tGObbTM6iPw&fQ|o3C-1m# z=}5M9-B63;F?-3u%u(gI%ijpyYq2cr@!K1fu`!f6RE#8mv+RVRtXIYttfnWh21n`m zOV2B!-URf)v)Z|mM~+}7&Id_)@L@Pd-C94=AmD(tAv#6!hx62ZxFpWV@mF$p;~MW` zq+w``Ps+Y=we5h06HLVcrfie1rQ4jkPd>J^lD_GLuQ3YBXKP9&r$)n3E+sjMnNss# z4zs&^MLkocz$;cme0|NjR8moQj@&anT_-*ss)K^Aw|BvQ!Bg_T-+8m=FOOO9rrzl+ zk}3h04hwRw!7(#59Xqvdkzzh5rEQiW>8LAJ{1xK8r{k3Qo6`XaB1u0ORbB9TK2nAr zW4TCA4_MGc6D_;If@8eya@Df305W&$WwpnOJF6i$6d4wk(yNcWN9E_|@G4r(Up|xMb*?IZ60= z4zaQa)uwP1&6DXT#-W#=C8A2qCE(c_lMh%uVYgP12jEjW!L8u{ME}_1aF_Un?Z~p! zEaT66w5KACmgh?(bkn-YCKOcFX@D&yu^ciGV)ArkD61dY3=Q5^WICEe`~f!^jt11Z zul#%sA#TFpz#D&$I#da?ZBLb-pOcLHM9W{MX$Tnj3kLK2HpN~G>W^uC3N;js`b5I-XZ&fB5St0gP74?9WvTMQJX+mt;gfC%ewsmvd?Fc6Z2YL%aF~D&acSW6 zqv8ZJp+E7!WT&zskC29V5h0|#?WXuOwY{ z$2=D5=k-BKOv7tGos(NP$f)K4y5Msu;qhaWSrkGaU$H)7vDiWyj!M}Ttp?RofpH7( z)}E_6(-ef5M*7B>WrG~p4)bDOL7r>&eeGv_b1>7;j?1aMIPq-7yh@Uh+~JH zSA&|}l8h>Ht8j4}hQiUH3}S`geb$_$vo=@PN)P6Rv;4}_C;-Zaw_$QSX~YmHufi`KJw;bws%#S zun48>7GM;i;!r7_###)B;@*A73CY`&J; zL|o2E4KYDvBP1yJI>!)@epMATrY}*S1_{c%{E<-Z?OSzbzFxZqT|0mgC9||J)%ua9 z_^CX!jC|95j}?+{w1uM==YUU|Z1-n|wPvbvcH}5IsG7ZO|2|+81lbs#g;gU@!1JW@ zRv(L+HOd>!s^q5uEyF{4YZ@yB8VySWH~3Kh8Rg{F#pHr~-#hpf=%SIW#D6Tl;c##h zBLjl*@wd64#=eeycQZ{t=|Vvrq?t>MTt{AQv zWBrYkhX~HA_@VsH*p=8ER>xDb6?X=^O9WX!h1TaK+kwMZG)7l<~yQC!u>dP^Pt zAPcXU8=NNXF=rEpFuRPTPaTn(DlSI{mWM&ON7$}1`WV|AE_r$FTz{hZ3~VV^E!?XQ z5Shjz&wl~Wvi%=4>HiC!6;&4!6ZsE|c|}Hs{~DfUVfdf$ECU1Q{|`L-Z+Im~Bdfmz zY@GjBbXJUBmR^ru|G(q2mNwS(hV(}CMs`kmmh{H-#{X_JdJ}q6dNX=UdaHj}tqr}6 zwGq87y{(bGnT;X6{Xfpuk>1h8hTe(Zncjuoo!;HZ-sV4f*8c}*`=7vD_Wxt5{ug-5 z#KQ8w;DbjMn3-oZ^PC>!}sNE;q&aE zudlDM{522$F}O&ZTLB#%9=0jFaD=U3ZIhFn37J1#VR3d0 z^TDERobA~Nd>a!`eZxR|2dAe7`=&-Abd3!U-)r)sc-aLOd)GEG2*lxIn}7YnMHm&e zwA{L!lAXfY>HmBo_Z<(#>Kz;!y1TP+@r`Aj-QFAp0*Pg|WdYXc5oKYj{aw0>kp_&r z^&R3LzA`yCmz?3(H#8Kq-Mj9$J-nTm^G@75v^fWp3*!j1&J7&(%Lf%Emc172TM3i* zH>beTg|LEwu#jetwZ16Bs1)gflqT8z}&%ZE*f768SN>Clh+5 zWd`N?y^4W}$=Ry*OMn|_c4;(nkKSE{U2}Iws<>y+2G!MVb$#`>%yu}Cds+t2PB#J% z4os#WkhlkVZpuhb_>U-rj0}*01F^U-;p`$#;BCg2EDXyVcn|E(_9klX&}*}Y4A5{7 z-_Q5Fnzhy2jbd0>#0)-OCqno1xpV>U7%baHavfGEV> zryiQ0<)5APpJXbm)E{#8;hjK50%UBU6@Jprr|TXgjvo{1(r*XGMcc3o%AVhhJ+t42%uH zF;+LQTL~GutI(OTv3mo~t^}g|s(ozOeEskY4_=RdyHd|U>*^cC+^&eMtpULZ`GkE7 zUIKyb?SumN65P}4|7HmNU4;YdUC{;vqyIw$Ck7PoYV&AJdx!mRRgw4*qX7jh+B~9( zT(j?kFpU00aO`lP`V_G9C+&njT|s#luqVs+%xN0u{D^AVwC|`pbcr&2Ms44-G_o_) zgLHQx%Ha4+sDCH@H1z&ZZI?!Ui(1+kin0B*8ThCPOnRaZYkIoz^^r~Ldxd{RLwe2F zt2*fY3F{sFMEkIs27@#1(fmq@$y(TO`Yd+4C>yhRHP*ccH~fN5|LJ=R_7P@F?#X?) zp-KHl`Xn>?nAjX1`;IZS0W0?DW&hq;tLwgsP0OglM0gAt%D9YqjkGb+`24jarvC=+ zX>pKK)b+Ib9y7oF{*sY)HHG@W8U(XHJQ;c^;5bNUiVeyP2Aw+0qg&5vRNtf z6Zd^ntG=zj_WNo_+r=lf{)d*i<&9Tyx#f6OgOl?U@j+JqCF7Wul$$)GC1m^u?!AWc zYtEp!CHZUY4(+t%ZX+R~Z*CIrb>z5HW&c$FA!IYJ!BT+<)<(jT{X49>M4)~UOjmw}D(Z}gupdLV>TC>9|#?OMit$i`Aw z%bprEBHO%;jNJ^v(LSgV`+B*^M{Q3qJ&6FW&=oHK|$)7cropJQul zleq?Rov=a!GsI4Bk$TUk*-gV}_f!`hYE>iW(_!L)g+bE5PC@*P;#&khnfPJ#M~d%u zJ^o~#m@UR`qpV&-CyAqO@)}PYAICCjLB28BppXfmFv=%V{Q?!H>Gn_#xM0?Y&yL67 zibYcKh`a&uAdUxBQ0izdHY1VhuI!OZt`}i7s!9#mbOa;j%0Vt71$<2iLRV+pp^n*4 z-i5ppiA<*}!h)tb*2!SwYL|EYKw8}Hjbh9uI&X1{@X-5~QH}dMq-VhY5Bu5^N!ees-5|w+o72S; z3W~}t9C))p@EKVLk-OnKOmlMh-x)tm#%CQ@ec)vLs88m$HK&Bv{nt;50n`R!4d0^h z`1sluscyz83w4);Bf6CYO3i{c5m|>prtn}kbh3`6mb;cWQP_JXA z_$Plx`3;HQMOFm2bDVn~X>qR&S0NNb_+}0h0u88HM;5&W;CYq9R4@f;!&HoHf)14F z-9Tm1J0)Z5YD;nbKHKYAkuQ}6cm3eLI-Sd& zr(V%x(4L%bDG#O&{gqU}K&a8~29w!`TQ-T@nRbqOl@wwtI1sE}=Ea#GB)d8g{*Zd} z{-x?h!bEft(n!ffwlFcs^l4zAG0C79u{`MMj#s!NOLV_}OLvVdlbzb6VvAKrUjc@( zxdqK&@KuRy&Z;w_5z}^vMlR@m1;nP9TzoqrS;%#>k^A4VC>HrP zL?(Yvm)}#U_x6Q@AJ_f@#dFG%sVh2gsZXq{f;Z?_;&HHO6lk=;2O}l9+ z>{!M127Cx+)?5{U5-ZInYWH}h3V7C@20j}A%>;>v_(_2&y8s8pNOyAdxq}4cBJm`C zMU-@qbHu&+@XMpZ^Gt-{P0b9JESg;Oacyk-K*-YoL$G8PUouZhsD@ofUfn({(Ln=*zh#@4_zhZ5Ar8A-+va&`vOD?5q8 zHinng884t4YD<=Vn_mBXcAaocz4(R-NJQS-0_XE?)Vj3(x~Gy*(ilWRoyB0hc>x>s zJ4=AxEugSN((aI`O+|X|zHKDN@(D8g zwq`X4=8yjO(;JCW)9mDQusGG7MO1$qgyXZ@a1L8^?=*;j5Qe8u8V{MsUxZ&hSVHCj=|XR5_b9)0cL%DCj< zrm}wQMlbo-fnSou>a*Z6jF_z9^xho}aK3 z(m!3?DN?c|O#1guSRy@j$PXJ!f;iFTlh+3ZQsbe>QEf6$+ncMuecQDB(LdY!$q%2h zklpc_DL|);Ixs(oz-+Y1{>HF!2siP*nwn)*v9NW0@EUo`e%}G81CR=+A#aYDUMy_IG@a)KV$89&+@~#k)(H{@? zfC@D8gOP7SepZSc{#scNrdH`N_DkXibs*w2*jvUt!k%3n7P23{wYjudbxT$Rqyw^# zw~#^@dT%ph!np=>G_e-)=o~MDcy6f7^;SiUw$~Q+ZjodeSK!PMky(wUEbWbR-q89h z9dT@2s#jNy^5;DOiT?>r(YPtas0R3I|Gsp%MyAhFQNxsiwW>Nxrv)Nwg42U-I4T$@ zS#f;5&aF9qLoNG}W{sa;&^cLmM_`S$B!=U3EVWe_6Oo5-i=3s(@0bXDxW*#If*)MG z$o{{vb`Qa#1znqB)cp;6gIxtc)d;~d5fdEmHvvV!r))SM|~^8%Z^o{OdR#K15L)pcO`Y| zI-iE*#>#;yiD{ENKjrda*C~Q7I+*WliC|rYpPoQY@KRxciGeHyLKz9iRpJyJx=3L6 zhQVrOD#c6#MJH1$z$L?M#4wgxq73hE7$sOQtIXg%tX5}twQoW^mk;2d-j9ykh%PRH z$wMewj+Os8DcnEXQb+Nx@Q+lkpTWg-VnJH4&zajWlZn5qd#O1#q5exF!Ybg2f<8%- z6DAQGq92;bFvSjqgwPZlwaHX3JO#a0>%~!8{98KKDYJe-`o!55)jHr2sJ~{R`vd(& zz*UrSntwEQU@im0bLsS?Es+l|5LjMo#Fhmcq9$Q5OF8{2)WnaGaoq`di9m9R_ytN> z`98V#2bg3irBm~#U<*d;mQCPWXENS3FUwrAQ}cpo-gv7`^)DCR-dp#{dP1aZ`=)I5 z7>GsQ4SQ?d%loHE3`*M*qo3HlQn*_MV=J+a3F=7C30TM}pzCn?w{T6P^eNHdk9d@4 zUn((Bp_T3TKvc$Em$Ii!yI^RO40*Flk8#ifwLXnOb;Z$n>GE&jyBnyeT@0krBd%A5g4VdHWsO zEn}jHT5`A&Cx_L=b9mZBekIj$HoHMQWPAhfRS*TvCox$9)dp+Cm#n1VXfmPJ1D!=z zpdUe{z|l#$Nfsw|VHZ(PK0YMd^qrf>+NRV2p^)`1JmFiufDeRYYINe|qUd>h?K}}P znkw(Aj)1SgpNpn*`_1Qg_BWM$euN_@MwLJdR}6$O*Z2)B3G7;OI|*Yp-f#*Hk3kc9 zu^k;;_7K)ac|xlWo!Fm{x#wB&2ovDqM0U4o#rEn$lxo|d|zIIR8lT141{!~)m1b%)Qad0`Y^W; z!(7euk#XoAMI2^p0`Aw18B}0T^(~E@^gf1lywQMcNAnW^58%l+?FGW;tq!R$QSusi zmmtsvsSH(Kb>k&>Y+un>7)i?fn1t_ycZ?(S4W?ZqPOFFv1TA#^} zUAQrwtIzOrqY)%9|8B#!#m@=@X3jA@+U$(x0vlJ(tCnwJtqOt18$&4z?sAwcLWNzr z$5x`=-c%LbfY1(j9_}Qc<%#@U!M&>+6~5J877mvJ^?_O+rAm;+dvG7)TfL#JsYCYf zS<-9{@6J4QUL6C;-xE*o#mhhCezJ#KY)sx=#S}*1t*k2Kp^A8R^{PfFW-Q)DzXK13 z-W`hWMw9RoB4xC>4GRWpmUC^g`}o4mmkL)BDH6M$UXoF(0t2}p*bF6`sHI8v;#U3f zp&eWG_G*R*`#jIBr)skXmMPDaQ68XtK5NImeJy4mKfsWK4^0q&9wNXshzA-lz<*S! zF8B(A6(@?r3;yw^eBbDZyQ7+3XbBpoTgjYMdOlI)PK00~CsTvI#D<8-PU1JVnHg-Y zG~$%cB^Iig`p3RkVcE57MRN5G)%D8EsnV180H6kXLVv(cY-*KBlNOMl6oy^rORuUr zd_wAC^1BVBh9S)+b0k&&-fjv5JbAea)_nx|(v7jWFnoORz^vV0IIh;==*w~TvF3n% zu7<#zHE4RxIrq7kM0Ktwr95cps6Y$ys`bmCS5a8A`-OR_3-ccl^+i6>C?Q*SoP{Z# z_S}+4dWnpD*eT@}!R^O14iJPs0WPGRG2|-Fg6tVn-llUv6Z-g=1VlxXjIT;JhdrRY zJ{)h}n632}6ZE%n2uFwtT(d>#VX|t!?D=8YbCS@I zAqAv3?f4Cl^`~L{dvuC6wB1q53!eqRw|2hB3Du_*_FWiK%4s9;F{&$8ZRu1`n zjW_8)b(DR~!N1bxRVI(yq`$+vq&jx#zFczbRw-k__6WS;-C!^l14pIq;+f2xvN4)- zp+jZ)daRIED2!j5l<~dt1eG`~4C40mT@orA%@sZ)JRmAE2hdl~PN&&bq+sPov`%Hl|ecA$feI|uFH^_#@ldraV;mL}uvCs(Dh)VEt@F#Ej9dXiBzkjsn zmZ|50JA1h`xx1bO>IDA2^NAuG@I}5v192GZ+PR-4wv`$TpFZ5X?P0oExl)y$uC#s$ zZuC|+{3K=GFN2%>y#B{JJJ>3`zz5Q#P2mOzCsEq69>Zk@%J zqM$anqCpx?JMl5wXM^auZgG${hP};#{bF(#{$sW7ng>u3^?o*LYZ(JcRi4{Bs{NRv zg^cTX0V>XqZ-LgEyIqa!MkuX*tK#_xU9&&H}bNyc80{*P?to znb^R_625mzcNq`gFR%fVM5`yNv(ZjfoZ{nMRki8|ip<}0fZ#sHsh`iP#JR&VD4s3+ zcU-Z~@RYd3-ms47WpYJDF^zYIW)tnIj9^Q&5oh?#3NOS3F?M9>chC?-J>WXRz^5xU zdzl9W*f*3>zAJ~}2<3eHr3NyM*k^pBSFN$eIE;D@lk;SZjOzy?Xojj73GdanLwqjq znos#odar8^piHR-t4f+G>-9uEgOgwRTZNi21)uIgc7_)^u(=nJuXSyd+7(MJW1$dB zP9(!q6DfigA13pJAOLmT+mNMyWaJCh`9u{~eHN`?$b>Ng%B!%INsUe>PP=ja8ZAoS zi{8Y_9w2b!IGG9^`8LzYC(&2+=&>cP()@2TvT^0tDS3xODsb;*hQ~NH0^mEAUw@40 zr|_q=KM9Tl-Q$s=$=`3@M1|iVkJBVm-r$1QnOVb{rsd6@UkDLoB9mIAPp(f@vUZD^ z?S~cmDev%N9_HUsmY@7}o8WPz5i2TtXs40M{nG!#NO`r$M!zK>go;eUF4!~p z&^86@22vE>12Z{x0~B2RkpAEa1>$ewvvK^Q_LyeWLnBOlO&Ca-eecpz2BHczhW(J zK4mtbTLj@X^C~1j#VJA1IAS@7qjJ*`)~Q0IgyzgNcQ`a5SLGR3&co6$OiPIhGG5aa~^5Cl$Dd~ zjf2>Uc^aa-Ngb-d_l+9V#4?rR=g;T1^zpcz2Z+yh^dY_i&G5FD1%gsuW&o&hUoX`1 z?2Zd*D6jh65gqmNFb_?*QP&GsMTf#f{7!#!$Wtqn+|19)T>iBoRk{u9G0hnsC5FgR zr$lx~&yI8EJii=tfxEIKFk$W(Vu`>-M7*jU{+gv6%XdrSbPjpHpQ;6?aWd03Ey^=v$RqZ-lW zv_BqyQgHMk+?ZOZhFIC978Yp0mM(eug{c~lVDF;ujVyu4)BO(DuWxyyz&Lei9fIVg z(s<2kg<>alrOEJHv(Iqq19D2WvRhO=z+N_-a=~fu5qmZZAg7zb4Ot!{BYS}51Rw32 z%qQMGGa2;TF@`TO?w_(*&);8a z^7F#MSnMR+DwHmKtX`jEXVaH#zqMs%%#Nn!;C;?c;i`5JMP5}hVaCk`P#EN-Ugp!p zXBafa;AT}cX^sgmlgt{#JJKE&8Z7lQK^AuVb)l3}gHK}e*0@P!aHj_Iy}q|z@nyZc zMlspbi7mElnsR}TOv!aTyW&=?+VhG)zOCDnzi7^RX)^f9rb8|Zsrd+oY9HklEukY8 zo+Aj)sMQ~DXg6UG?W)dl0$>yWvLwx7J%&2!g&G`{g?GR%mlngE!cVrBDGE*OFTM1) zAspi_7(7a7R#!6Fp8jqIUaO%prEad#o4z&-FM^#&iiF=T8);>Wj8=EY!lq!zI zWh1tBw9N||lrP4FI73QNjLQSVKIgPe5^Bv=iKS($K#c*XUF-ReljLQE>F&(fA@zd= z4<2v6$NfTqDZpL4c$gx^^L|QiPG#oDgbw7fB)(WC_y4=eC04&uybD)8dR|-3Of25Y z7aFJvmm{9kS;f~Qku1GWA~iO+APiFCH8@s%Ua>Y#Gp%aZSPYnDrS zXh2~ZO>-owEw6J6a15S9tK^0dfxi_4A7Nj+8ktKt2$AXm$&IF0} z@krByhj^))R`-l%$ipA4hkSF5=<;5jM{NJI!9Ni$hc(gEJU)ez=KqBkdUJr#q4de3 zHhq*RxR3>NNawrI^9$Jx?L9Y2GckXOP&@qK`FH)(2a94!_wo3>u}@%F*KE+#kxqwo z?|2^P=|{-w${?oBy712+NYFqxQNrKc`~*3( zyV|N$qO2vllCOWbGtyr?8Vkl#OufIJ*Sqf0?x87mjf!){YL?rreO+<4SrV}Ir&J)@4Q;B4`{=GPmR`h|6JAL& z*x;GnKUBRk%Qv;~#K;o729p4!oqQnbOWscc zDmIG7^IRg7%*%CUo7Do;%+QvPr|JRlF-$%@eH}(O8)(iVE8FlMoga%-A0!&${<`>N ziVHf1I9Ap$k*vF7-$8eD0@K@)`Uk1`jnKQ0M{w|(wn>e}A@OKUXX1##3)^>l7& zP>Dp{y06*>6A3ITQvox-#`>GW+-+an`(dgmKU?LM>OrL0q0Q|E_%GZ;^uYkJ!n2j; z<2(J5Dcjfp^Ep#=jdz;W5droi*=}ZExQFMZKW9$;SjssEcWV&$4AAby{Q;E< zUOj|_b;M-@-T0Ie%4BJN_vZo=!y^=G$tqs?wGtpffdq#X%jsd>ss6uge zBz=l#O`?_k+wP*v%o#R(c7-7GpYA1g_CA0Gw_0&2{4K??DXS#;+XF`GWIMY8sNWKF z#78uikLAV#f_3jR45Y9L8BHtB2XeJ)4+svql|fzef&NSA;2B9mbU@jzX|32T0S`Jw z(d&>p2Q;L4l0c_gJY}9TOxU4!V=7`Gjn(wdKDyi3RZFS)cT2(3PR zKH2ZQ^576Op3CfDP4E?p*9u`GQ3NzYnYg!ZVkngrw8L1jdP8{Huzn5#UW_RF-Kw!? z)Ct=Dk<(-It%Ns7i3JBwrF!^ohFFUS7c!-$WcrgtLA;$VUyMv?QIMOzNh&+ue(SSW zWc|JeGkuwB2EI!FLQPT^o?&((h!yzBf-hylk{4G1;YnFM!GdOju|5j!ot+WUYyZIintGhfyX$)sV?JLlz z^V2b~PcB5&ceEi=of~rO$Xs9s-hrMyr@JVV+io3m!hzMPPYC!CGTj@M+-!~cnjlc8 zhNOXn-`VW^jf@gXK_U*f=L4!W%rR^`fgbDFHAJ;qsU3Oz?8#1k?4dTJDZqbsIL70T zOLj;aVo*;r(y+>daFfl|8A87fTN{8Uy>1xAx})rIJfek(%bbKpJyu~H33@5zj(nXT z+&a|Zf}RQ8ohiroF+KnheFhxQ)A{_p`Q+4dr`Y5 zvbc@z3&|-sXH@-6=Rww=BauE*gTm=aQ%2y_RFh6Yr69$=KXL(JsOmL&QPyP9jqh2t zk5dpg>X>^hwv#J_Lp$_$pVtAs)}6gPIYQZzz>ZVkQ+wn)?oYc43Xc-bQf0}TZk%Q5 zX9HcSm-6j*BUPSEOfgygEf}I)H##-r_~N|MGO3r({(E9crjS#0qg*B~kL`*&$2qBF zp%^(rUQn>+CQ?E@{Ocd?)8hXzi~v!F*BILG^T+(;uu81f-C z&0F66luMIXTH%OJyG4swTU@tX1u>xAXHv`+u_qrn;VzD^eyAs0oOwA;wRoGjK3=}I z)U1xZvRzdROugSB9n3?*m9sm3#~D-F@ZFM77*S&Z`#1X1b1_P-$+u4OCO@T{4*rz5 zd(`-dj;Gbx%_}-1heo9rnME2VTSj2TTIB?b=cE2T@c6S&K^Kps z2%(e#fIkEDI`uuJQPih70h8=)AcHJB59~Bj)7PRC})z3;tlh=*8Ad{c}Q@LX!gm z`bKm;yQK%+wyO@NgekvVjuc$uTWAM)kBjLCMFGu}pMCu?T83u_pIkXfsv@gS3I!g~ zxFe=Q%BZxBokMP=D;&2x>zX1o#&Hw6#_BeCb_0OU^R*BUPfu zC_egb#w)r}e!!FMd{DB$^7eW?B;O^Xda|^L9HvkGZyf@LdF`V3GH=y;eF&-ZvZD0^ zE%6)d;AZvGasp3rsfN6iQ!Rs6l-{Xs=jU!N7w5y=P+9{&J@H3WKk_oFrq6f0%5y2L z&{=(|?f3W|x5@V6!WX_%!z`IZQrcpwekF9RB3V`;|GMQVPoQ>;-s=9A+S5PEC-dW<%8gN-qmGe$YC7^FjUg)>q$O4OA5n;MxQ zVf)PhS)8EWlF@_%(U*rKhU;o;3T3T#f>^}sv0|&->iK9-KLluMLuY2G6Nx<(>g(u& zyiT&92Y+3f+h|A^v#^aLN@i<0J}Twqe0tthVj zNzZa&XpvFSnxWNk(I=u({~^IZ+GC`L>_j_#bnCmbZD6M)=85DB(3q zjF-qi*Hn7xy;#|ilJ29vhCi;ZtoRE|+ISiuT$|J#ki1a^vhyV#P*MtV!GT>7{`MAY z;$Ak5xLX;>H}~N!xgWr^E?$N{b)Xi|C67esxSENrNR0tSlsz0{f%eBtHto6~7E?gY zrWV}}@DAyEE+?!tstrOfoWD=138*hz>!OHpB7Lu?2rsdp>BHoiD6dN+cM$nA7N`p{ zVwgS|bjHN?7OK>P{SvoM6eG+im>b&FS^J|EcAAlMxAxMBA8S?5NEQuK$9YN~y(;;c zm8m{3Buj4SAQ?nKFk*pQiq8qr%|Pt%D(|Qq#-n6G)h{Kn&FB-fN_!=FH>0@S$8NnO zt_6c9UVZ#JtD+X)DEyB-I%ADeZ1Mr7*(*)j_0Uyo$?Ous@OS4tYh74xQq%@w;Ecd7 zV+Nq*3(7BY0Z}TZlq&}fU5k~)CF43=^iP)@wncYUxxneQ*_yPjOgc-+vkh7N zJuy-FuRu-CMFtWemS6w+Foh*g=LuvI8=*ZrTl>4aUmrKp{&k7@6wi07F7Uk&OX7f2 z@5+3dx;3ZDlo{Cv9qR}e=Ig_OJl@NoK<-icb0usB*}3ZsVr@zsLqfU4j`Jx|BUz=93Qse40*oJ`kk$hN-|6soHUAnJ-UyW|(JXqv7cZXiq;`MBh{|Q#b zLuI9#d(3NUSzP|tK|})fa%Y!97p^%IQUB(}|EljOLZ&L^(}WDmOS5BHX?CVJitXb= z#s}~%uOllivv-nu7tnK48 z9HOL}%Ptp)T$R5|YS2jS0z8D3yaGE5sq#coRxU14e@p6sxA_|=uMzO^*6wA+x-9Om zLi-^+x-3rg`(f~5zG6-K;Y*m8%u=Jj`8#0M=5Eh)f#Im{b5MQy^UE6gAJn|J z(*;-XAF4bvgH&@fh`aNoh)!6h3*Th=#zGd``ff5PZZukX&tsAZn~Kw$S)^c!F^G~^ zvz*AfZ8<7mT%2WMU8T8{hH{P((B*B z9`ltTxcK;&em(Pe#3%V+x^SISvp>z};alky4H^|bs*t0&spwAoRL#i5rbZ|-?RD`S zk(ZW>+_O0Rcu{F6`jpL}0Z_FoGC|Yd=RL?k7p9)?rbR#JlCHW5YeFsu@&nd?RGIF5 zanmJqbx9G;YWT}b-HR7M9E$xv((bGln6=op2P_TFv!!G9%+knlP6>Jm@JAjez>PjH z)&5c9_W#m=w)B?7E$$ES6)Sq$y)JUyH+0o%W3t&oQzy)WO`-I`F&&y0NyncC>#R7q zVm_UA^*~Lz%`yi>Kp?!x3PRWV2V@&z33)Ii7SOSLz4W~$Bq$d70>{c!&V-q<$!ZNP z$XS+xPCOw^n?}Hjse!6QG01e$IsXG|PLO0|i2DipZ0 zU=8x~zC`X%hByymo@#4#*xZAoAz~o^F3$lKub{vBax;j z*Y*qm{!OkZF4Tp*3~5|1z3V2AE450%cnO<2w)>;}=aG;V=puG^rJ-H=5I3d(5lr7I zw0m%X549OZ1M%77wU4L?-}Rvv3x8Mid;a&&$Z-xi5+ASqD0dl)P_kps(o4~qjO><< zQr0$S8kDlDwK2eE8-`W-v2ks~t~L0ZESF47T!-bQ0h@CLFT01u$tH@`7JM9nL&@Cw z*4-T5=-GatMym8S;lV$;rlaaT@)Yz7=>deuVyxp4r|_G9xlp;ORtkBEHToFat(Tt+ zS`tys>w9{SCN?eE$EdX7AKWrD#Q_j(P?({p=A0(du$k7bj>q*x9o7pX>x|E72bPE% zc32cFY&W5PqyZ&g)0I@c8e*K>FYw&&tAW`pp#rwdLA|S0e`E*xxJ_YjeyoPZJ;~bq zbKbuj#DnI0Ksc$aRuBAMlkKJV#l{PxuKb$8@Dr(Ah`%z*(R?-la?AbKn%e8g;Aje& zl^b>dwibOxD#m_*KYV&uHhhJIl+o%l4?Rmm9PgeYxm!i3vAs3wf_>HVfasYkg%?&7 z8@#sQ6G?E9!Y1N`+H|V{{cEny*=?niIOFG%c598Fc}KmkxA?e>fV9_M#x2`ii=`87 z5iAgLu?=~&1eZsb9@lmTo!{3J;*3`fuI3tpJZ^t*6oV+{6{N0)sx4tIZi~80&+JfY z0bF{3@MP6aR)|KB{YynoOO^q_2qe`;PD`IOEtt>|@@Hm-B)&w27FC@O_$zdTSX0-%0(Y_h@3s9+cS(7UlS`wMB>(rdy8k1!bb$J4pwJH%w4G@rk|bi(6N1+(p$ zp~T;Ee4@$Yf0-JMurD)8)M~)K`az{S$SwSmckZ81KY3+)UPUbe~ zD#@p6In+<|uQ)nSplp_a^li=_VXjJ$jxc=h^l?Q657tGl%A2{M*cqO6dLTxS&Ur=M z6?{hv@Qx>1hRZo?8i3gP74P@S3%%-_>^MuKP%#GWKurR&Dq;OAhTA$VMUd6R)C+i1 zGh_ns0wkxInR!TSoE8|vUWKG%yg$ZIfWKTNTPe-{1mcS58(`bGIH8&dv#piQVmL=? z(Z!xWIyyigyO_~|8CE8o6T7zuW5`0GH9_77YVC}~TjN?Ty>&ZouNkX(2plqb5Mpq+ zdgJ^!$r--f^jLn8Pm@vUc#9o(-cTfX`WvpXTB)w;*wNu1G56lF5V0>{b9Qs+I>4@Z z4999`dS)BQ_^`#XdhBFJ7xAPS)Rq%^(Y!=h<;Jv{Ya;uKs}`4vt)-RTHu}rtGMmFN zH#UzCrDpSi3vR8zOkJwSi>FfpQif@ejfQl=(!9k_Oi&d(oM?($f4a4#Da8lb`sBMJ zLUdBE0to^0Hf@qwCY=pOio)d;Q4Rr7L}wscFUj_}p0!`nn`IZOF#>=7tqV*R zFLb*1na6y<&|P}UIa|;#p7PGug_X$RA?3OO;#gAB$3 zt$;bxcgqp-O7YNTmi0tI-RZ(SsPD4;Bpt)evTHpuK9_?UY^K|0FU-O`Vq*Q(oFfZ4 zn)%3uqVgTEQRU3dhpd7^NZnmloc#RD*Go0Z@&XiHTQAX9{1FxeSQ`q0d2smV0qTdpCAqG8c|Uu~%i zzp}+Pew+;pr3R3n92-MsS-*ZV7uOHQoGx)ynEUSK*KSO3XgNp77Yo%}H(b%0LF8(45nwSQLrF~m}YTc2x)%0?_wHHee=>yBU@Y3)rhuiVSYbacb*FC z1l_4Ps-STz>!JQmE-+?Xdg|#np}^f+_bul;pT3J^NJ4GKdpa2j>5PTDHXmWZ>pwiC zcYfI25bt1V*sbc|Dss<+Ov8hZVgiE{iSG#45B=y_VseuQVbVLk>hsS*S{@&6^5I{T z*h)tjcajNp6tX)X#B;@OoxO!lFm-s$JJ^v&zfhtY0%-|-T(f;I%BU+(_*Ki3TW1EM z9oh~<|LFtNoTnG;v-|hH_0*f%-J_mKiizZ4w?;hllr2Krsq(Id=SjXptF0+9jYcq< zAZbSxZferg9+9VKstJ}%R06X%n=z2IJcCwG0}lDoH)_Bzu8%=9xr@t}WI-Lt(!scT**ajh$)0}RW>|T-iB3*@BYj}8x{$;X6 zkMb~5nz_o};y1%~rpTMuy<|lmLd*cRrkHRsvY&U;<{f$hdzq3Nb1d@!PO{N96UVut z=e2xB3K-WJW|jKW3`-hHp;Ut~9S4rqKVu^-DAYI{s~sSJdLNrJXEq!q;bh0{;mP_C zl3C;1hN)qr!HRMYcV^~Ewx@>>h~n>;N<_ZTiyBQ^q z{EQp)vi|7%2jJ57zX(mY3q$Kca&cfC00&_(k}0H&$n9jC0x|10zkgg_SZ-<;-ks!E zgK9JC!=J~m#4P*ER}#*U6I9n3>QMLZgfj>VTi5oVI-m{y2%={1&ysn(eW0hq276Z# zRFIiL1nT#R9Lxm-Vdv8EU3oH5i}hgZku0f>y2}lGWg}D9If|c zK*@MP(cc9%K?sw%leu^>S)$tzYT(+Gsw)Z@i>tRv>~k8^2r|F4eH`*(m8mMqQhY3S zFboT0>&k)Jj$g!iWz~%COna z3qb{w?7{k!r#y=}f!PCeWrEE-L(6qB!p&_B7zFu}g_pE0PVIWT*n)jr82~&g-rAPz zB4fZk-E~5Gb$^gw>x6&>MOu3uJVXMbZHr(1QU%+jNA9*9*w8CXYfCqd>nhEqXbA-E zxFhl9ExzV4cB^~u=T_vm@}c+u`@|RnRw~0PjWFUFx#-0fZll3W$yo^7StL;UcRfgw zw2^Z-1#YWZYwBt_$j!JxmaHz2;YB8R9Dht~pnB;((t_naZ6#@a#BdHitMil5iadG5 z)|@LNFLtM+YiN#WT??n7Qpv~x1(xc5_RoS~`v1$)uzjNo5_ z@AjZjLnttsiadK|X6$c`ACnk?ZTDq#!A3l+IN(L-QsCpB_l53;5>fvure=6{+AN2b zcj#m}9p1joehZ}%LkF}vF-3Hv|4JGNen3QDauBCWB2-*QBRyKO#uZ9R%P{r(g5(@u zH(m@&_h|E>`Rsh%y#I2u1eXB3bzUj#_Wd!CJ9MA?s5ax>xz_xy%y!?OH{NM#b%hAQ zhuV3=;@MQhC~f1ev8RT51iQ_=Q~u2>wk2 zZ=6wEkTq7qeN#dL76>IN;G|i7wWMCcG86ys!FRDS6ER(M!G2_D79B-X25_t$c6R0{ z-fNC~Tqx=)*0A$AC)Ehb-?_Vjr>dvwD1_`AJ;=NH5y=aV)X>MamwIq?_!}j1bC5il z&&Yoq)yCdqyX)?nY3B9Sq5Z34>)W+pGj*hLS%hKU`{|dv+0$0LQ(6wo5BYsb8($X; z;64DpIzeZ_Y_B-F)g1a#&PJ=T*o8~HN4!TokD@;gb!1%ZvD?A(c(%J1V&+*}<1-c#c{r5x*%ms%OK z8_qgrv4V6#63|abQ5q0De^`rG7I(8^Jb}VTEwIP_=uUAO_B%?NaCXW%5%6;*Nx?*b zoV^m2M^7R`E>f`A4E3*B>d~;-t7FHhUA+-xiRMU3tyDmug zuWsd{v~AMx<(LBUsYe}ARlK<6+3t7In+V8nQl6ACRAZrSWRE}9&w;#87VTGhBe@-P zucqhHFn#|1T18^vB##t`%%A!C`Srs|#Cv=3OeK2g&m@BtOOZd2_|WMM%q91Y%c$Ss zW~kum+G-RN?ySo7>!OwyIce5aO3FF2N}-Ly7ZZAQ3B-`yqKb@OAwoxbO>331cdlj1 zG2MoqQ=MHyiFQ|zR0*=Gn{YLajTBRKFdC1^0g%Nd^xE|g6YK5 zC_<3{_jGXt@ckj zMObur(eFudtN@+gdfZ#R81o2?W;>ANf@Qp0_;t_i+yl9(h_1CzRWT8a=X^mmOp&w~ z9E)5A|HZhd(SA!S#t!XO-!60#=0fx^O9$yl9~OvOo7TW&>eJ^f9c0cp_RQAAQdu8j zfxeOtr^$>JZ>1y#M{E_S8;D84k65?Es4VgRYxfam=u~9~J?$mV*criUm`c@}O6q`j zZwDRqevLeVU|MFJm-gYhr4!D1Txrkmt>Y&3VEm%F8Cd&v2PGqh7<&Dsw4@nYvF6H~ z>9>dFaN>2qT-M#_{q#6r%_x;`*tFH3E!XeOxyU(S=|{(cwU>*3*ISbm#>M`NBN)LO zoD7m|aA=_s8Wve7BK-u1kM?9W$|+V4GE~%ZOty&D1!!0}pz##-Q*Bh@^jTF}OmezN zk!d^04#V^^I+jxegmS9nW;X3w7SS`k8SUiRPF9P7KAg71HPFwq7D#k;81{S?0`96x z{pw&0D{F+exM|X`jyP+Tcv?BVN-^#J0wolwa);!jFwj>XgVC@Re})=VIB{1*Q$)~U zCqe6OX}mQ3e3urXcA8D;MfRjxKwyG{i$tAkY}dhlOYDhmz>Ew-4pJC5U{}yfoBtl? zOrV$hbq1R2OE_Kk#~>M!d%l21k0t`jAdI>?o9;)Gx);vd;5WGwm#tu&_8VDex*=xW z8+WKxc*`Y@rAx^ZWnspsfg4?)Z@FEn7XQ~%uK?~*by-nX$|6u#kXz&<1Gk=&le|Yh zgEk5txWwlftqGU^!1BvSRB^v;(S5U!^fRk`szZlQAl8CMM&>O?wiD$k0>yF;bJK4io30}R z_e&1fPvd%&V}7}Qd3%#m2d<9;fyqWJy>qWY+r(vq=)h%IMM8G5Z}cNl6ZOtWBu27d z2#H=vD4EhWu@VE&HYKYQoH|jZQ`SG*Y#Gl&L|SI4>!OSWP1&+cZm>AiK{eju=kKtYcW@e0$RBYrYQVqzo z-mSeXXYeRHz+ri%ge6K_gF1T;P3(JY^rLwfKjNrR74kSD$iIU_{I2pVl&ht##Tb|? z@tqBvmY+W?7^xkOGz+l25E?g8*jjial7Wm*e&%~>7QV_6QL@RRlrRzemMwI2SK4x) zPX|QHkAO0V-N=?Kvf-Vj-Ix(0N?{z~SpZt)FRu{F!{5wAI z9vk8ZrC)=Xr8x*Oo! zVvWaxrmprz9*-Bt03nSDznxggl_hR?SV;KvLIorQWMk9LZQWyg&V$_HHMl3%P>s$B zZ%W7hi_>1yGUG-wVUMfXACuA%t@|x5IrX-i&2DpSh`@1rP?3@5{n^9Gi5&@2+A-WR z?Bp^Ufi}fJq%7N}kt3sm^(5P$sTom-^9;r%=`fOU)N{g;B@_C6`T@b8)OjNj_Yy+d z{GFq01WfFBdWvN`($12Nc0Bqkaq4(NHCA*#=s?>3V+}{n++g^%s3pcnRaI5Th`;H1 zP&BO~E`>c^SU1Eexu?RM0CVxgGKNKbUd!z0l^I6}rwH%%lg@G0APZ+QvPFQ7)QIbU z?sQzmqkcy&ifg|y#i$}c+gl?`Xu-<{I9EkvOTnM<@xT|ae{BHAcUEpDrk_Q}TkkZsPKKNrhsWu=&<;M3K|6ORkQQGgPjK`eP>>(*Ne)4);6 zk7r>lGGvTm1#gJKRv2@WOO*i?+L2)AtHuh=kON_R?MdI9LFCa^vZ|F?0M3i^xi`4W zMf6>?Ai7PDxe5w@8ZU#IJOxFLKw$;_PH|?6NnW_*RDJ>s>JO{Zg_E zJaG(>6N}Y09VkY1B_BoIha^WyJYFa%mp*QNa^QE7v1yX>h9(-9H^tWu_Lh2(MDaTH z2Ja~P0jLco-ksW3`*(3TCF&Sy`K0>SUYRY2Ig?U%CanTt7V$F^uPxoh!8n9pR_z8I z^j-#dSJ)Pq1xIzt$=u#=5W<(c6`P54c}(kTtEkk`}^Y`<|?D`5>wyL)LRJL`!tiw_0~GwJB5y@jLWu zDr5TE=Js*ysnO-XI;EA-RBdv|ByjpVR-=`5izdE&EyYs_L+}D&4-REiPMI+*3d#nD znDaBQomu9l^b&a$GDsv_`Mx^&gjF_B@s7JDN%bVV4v(n{@OPwv@clZ;v?<6 zT&PQKq83_wZqHy?7Nz0G{CL5njPC3Ka>?`V2#=}BG2SWPFAV`gljlpcjycnY9Bm?8 z$Sl}xwTVKM_i8+>MVd+a+{bB#u%oG+XjG&6N#$~mCFohFMOr|ly!}7(J8mEdM=U@r z3AhKYIdsv23_-v}LBoIvY$8S`>SDWN%_cC9g^|PiMQ6 zz1~kcDS0u9%>m#!_%O)Cg61;ls9eTW%6GPkq1Fi#0FT=KSP~rWjE`uLBD> zHBX#jGHlv)1&Ukm1XW<0L31j$o+r2*P0*7#cJfMdQM*cp`^cX@Mp%;uAqLo#ZT^6W zI4i)d^I)7HK0R+J*CxHn-lhbROmlYWYZofJd3RnVvnj4E;I7}hf}wK?BRP1l_{)Fd z)$)3}eUl+qFrLX-aZ89~T=lae2JM%l=HR-IY6wW87;Tfpi;>*}l+*8{Zg&c@S3~GR zwwFHf1^G6O-YNwITuMSrd`qhS!{r zK+wOw`#22i_4%psC^jH>gxaRo&N))@LdsXZ`U#*`ha9ydtzq+WJ3GkG1TKNxzS6sc z>@8v44o1*b9CMXzQDuD-7JnUl=X{3T51sRFg0m`WyS*yBG z#j|~=dg~pVFRcK^`J{iyl%E7x2cW10$zJZ=+PRp3U%YZS6Z@t<1RFmBJ0v8y-Bkwg zT2TGmPp;foghjw|aitj6Wil6_qy&Z9dEt)1C3>f6-RjT@Xenp8hINTRu%=1R@n&*D z(~fd+0bqRR2KxS@`qU!Puw_G7>k@5@nG|4RN?NJI;5C9iju9f_i`btK7!VCXUUL!o z=Kf9jbM=3K&^Z1V-Ru7iLQ|2JQc~3T4}`|_e}>SQS^f(`V+)U}s{yA&*u1^0!)+{_7EKKeG zS!-7G*8kmGv$Ooit^H4Q&Ctoz?mrtl{MYQiZTnARGd8tz`5z*igN>^*y(7J&tG&xV zqV2!F>%SXq7EY$7|BKY-LGSs0(%SwDXZzo@HqQU$fBp}xjgf_s@qd_XOayF9od0yW z|2x*k&cw?4AFJ*E1J)Mn0;;lXy+*IQND47Nj~mRgxDzWS1;fAq$SmAOu@fPY&H@2M zL@Oa3PC$SQ1XSqaUzF>-d)NI|>w5R6<@f1&x6l0V>(GFa0ZslnKpSwyfFT87ettcR zfaaP65&?~myn=>CNJQ`uNK8<`uSMj)qXYyA23+#5zMCn?I9ljx#d_hqU8e(vz!WeL zz%DSrNJ${l;@}_vqM>0$AMOE!Wk6I7`8r@eHNN4PYSD=A^w(Bp)J@9WQ7Jvf6yL@L~p+70mkRSNg=GIVw zT`L1V!!+bRL|6d8rxjNag*^&?KicX2)B;*iNYRlkuk8SWHh1&T-KZ^~Ra6*&HcM~c zJmC$Z0XvEk0%X{?5XCb!>}QgyA>5<`1qz5TVWi(n8IV}O^+MY%@w0bzEkir{^xfPB zB8;=cH|W5?knA`LnA;nGW##utpc>+j_!)>0;BZK2C~0v3Kms?wvF#nrGj&H~JoZ1V zsts$$KOhf#8+Jb;3;+s%J80hj|6=VNgJXO9H67c@j&0kvxntY5ZSUB&lO5Z(ZQIu5 zKku9~@6?>BnGf^rc~-Bk>b0t?tGn;(ciqB1;+k>@0Kq?#!7rb-{oN#l_y{`yO=5r- z{IYuJv%Y@|7V(Gq7(MPFYT0@O(Pg;t`Cpc=a}s`~Yr@%~4;=Gdb%#L!~oIriMOT+6$!asz}NF_d-o0Z+HL=(n*0rZ`Q47k z0uOP}ob;aZ`dzyw*o%`nLC4(2Q79DdeN$}t_yNePy>wfhXxF=n@R5i=6#8WF zpD4e%N+_rDZ0s&ig@=U$TOmSd;t@XV%*Lblz=!F`g8zB8)d3Cy(YHh41n~<&1F#Ds z3iFvnCZ~o%aQG^ECjuG-6fE@>erO1ipMpR*X+F{ozT`oGcwqb@1#7G5KHUC!W4i}l zgqsxaJTb~?TVyw7s!%byK~}<#%i2})xs4L-umzeuvXc$U?Us#s{S9MRkv{$A|1wri zdKcGEejU5kG{o_7Q~axcAN*Y;lRvxS!8CiUu$CRCx{YGlo(6#dDviSWQM2(mDX3M4 z#jtH@f6(SB9*=pTnC0PI=DF;WG6@?ZQ-x)t6mGfQMva9Q#u8lzLy>(jQa}DCJRA{< zq(`_@wDC-u!OfYSJAu)vza)7;1ho?0sd{4CMU3S7H0s*bCk(PGJ1uJ~I~?RK%)vf% zTGH?;c>dI&E3r#xK>vtreLlnZz=800^s>F$)G1=+&3tl{fpAhrjx0!~3InHpr7#YJ z#zdkId2;PLzwxB%RWW}SZnP!`q-!=*eBsZU6ApXyVwaUj#JE+V7ri*_lw_4bpJBwb6q9W>-9;It=K35?q}@Oj0CqQT?ojTyFv>Q`t)Y|Iw9a>iq&%ip_H zb~4mxH7dnF?uMPY`>Yy|61%oycQ@wLqT`i<47@j6$={SezdFY-c}Mcl)~Sg`ja})b za%04PS#G7xWm_$u*9sfJZt2%pt=Mu(18mokfaCCq9d(^+sKF`k`-_8bbe6R>Km8#` zObL=$zDH>f64JKqwr+c8{dQBRkl)##9YJ1-!m*;!x&!f!^Ng>D)Z^xl@=GdyLw;{m z5esh|-O2CGA)FU-MKXm3k_IST{voL(xqiVxaCDlNrkSBxQjlbYXU|Q%aI7wcGti!a zJp0`3K@G$$+Hx=C)w^=CsJYi)rjb92TI2UWXNClRNUTx}D*pLa4)Q6V3EI>#`{nJn zejIse&D3{?U>%=Cd_ELXO+Pw%bM(&LmUKC7(5G^ZtS5kGZy;p^*4-s;Bu!WWGvf-N zk%k4Y=-Ua+0^y8}RF!SDr|*H0iH#$YuTs*reO9o2imH4M#PS9pz-D&-&T^pbJ3imnz_ zR8K+FE@D&zBArv_6eVz2cLlqAnaF!cxWZ8oYer?JMUlrygtyC-t`G6M+hP1kp>?v9 zVej*9gAT0(TD9P1JaSX*$2B zTvsMzB!lk|HsN?<+g!cuo7n6#?0#~*m3|211t<{Z_tme_Ren=PO@nz(g``5M47$#r zOfK1h61>BG?=Ls4HXiBd&HPCCWpI?_cqCxRg@QwzunkSuj6d*qS{)qF-Mk%?uoU>Q6=@2e|$wPes+;mZr?#g#jYB#$_IQV-Nf`c^jZpWhcg_n!?~Gb1bV zZamBi9>WXAV*{5RI4s_?2xzbUM~ouE4F?rfFYJGbDL$xZptlNr!2GNcxN-Wss|y*GhYAJm)PBb5PeOD~agy@v0>!c%r8Jz@aZtnw1S)ST zI)zXYqd!m%%xT2om_-`@jqNmH!?=nAUC)bE<-#^Q+%VT$4`V}=uYx_nj#JTtbv=h8 z$vYP<iiwr=JqaX1!$PUHTUvi_bJHp0M2Fyo!bGl# zlq*o=D@E)BQ(qx5*m^U)-huFxX@Gm%fi6Q*ciTr-Z5ihT>k^0PtBV{W{UZwXd$%rK zec|5FSlQdQs@9PZjm2zM(G>SB^s{QkJt{}EzkuXi$TKb9v{~n+%45ehUYM_*Zbv(X z0s~-ldaa7?$$)=?vieglgaSp!IT}*_fT_(((Mc=LW8K8X+%;8IN}M9x*n#0#eqWGm z?62|C+=BzGl4DR9<8vnSF?iaq=+NB}Xyi1*$!p#d72jajBX=h7vI3}$wez&_(k29< zlOXUGujBOQk?(w8gmy&UFNmhR{4YHUXRLdk0OuKq72ZAMz2N~-RgxAl>gJzKb6fux15 z-U8cH%=aE`?WTLu^YA?X>CZ0y$w zHt<^KJ@qtTQ!ME@9;cl2XF44cMr5XH5`RpshNa^Beye}6o=)cr67dMOVYOR7%|-cE zGC?rVARb{e#n(tPvL5a2dQExMWkmMWC|x47(=rEP4)@{j#@tx*e`m5c-mN^RMwU?o zkb%FXcpPg*RhhB#0l6-0h=IGmH@P3b;T7Kx4F-}2-gOT+r8R<3DNhQ6kBfZlPY5Ca!+eN5JS1N=3M?$X|6so0Akx{42n2QYI_xJKrnFzI{PJtn6@Unwj%>Qgb#$iS^rBdo;C&`d7E>}8gZfb=e5MIoWwrtLjzKclf(d+B<3h@gi-MJhe;_gjn`~#U~5(_!H$PISLG&X@gW}b&> z{dZSV^|*sH#G1{Eo<-=On9AD;Wmd16Ml_F>H@EuW)-j+KDx_7V)gl zK<8xG?Q_SHvu(zIs(cL|mCacdAJU0Y*aC1PJb;_|1|qv~g($RaP(2EdZMl6K*d^AN zKNN0FI9>o$W)8cwW^unYyl>vA!V$lq%wU(wEpA-`TN1U#28_dlL|1SI7v!9(a_jmf zyBBAdTkGyjkbylwKWxB;Nk^go>}G1l$gVP`FIPq4P~5#%nmbA&D#r*=VmhH9^)n+;kh+Yjosd*z1X1Xf#mN*~I?S=Zuod0p;W2Za*M5<9B3)4% z_Eb_0D!dJup1sdMD98y(PzGeo0sgu&6l^)THcLRg8kHMe_@f1#(_Nz?%QJ%0{#XU<-gUjB5 zi}7{xZq+L{9XKXi5#tZPcZ+%8J~|hqp&4i4!RvZfYg};SRjYjNwB+SwuycpQSy(SZ zjfyeE)s?9FkIh-YHCH1v&yW_uw5*+jQ)GU1K(bAuV3VS8Uv53<1rF zL1;z?9W?yNUmfSt+JwmGQ6-uX*RNXoy1(RD9X2k#rzSh#ZAv2V+7|g8i`iCo>f-Ox z4qmE9w-5yatRPJiT3C9hFApE7o-jL7y`hJQhl3h-H_Ninj-gOTC{&|zkrh;{j=Vwh zmWSSqiE70(k}GGrxXwMhe0n-Gv_e*nZENhAmfh>@i5h4dpH1RF>|56F^sRNqloVn8 zcxQcNsnIf;R34!sKzqx@?2}SlP~W39u;K?PoZgW-Dl@6kd;9y>c6>X^c8@j=KpO8nJ)!^gBtMrr*e|bJf$t)=NZ3Ln=XwJMX+#X9TDsY8!g2!qjC# z#WIWzN6#A;#_)pzi#gNzD1|;oM+?svFO{sAnt)6OYS!C6_JzS0(67_4Ydou^xy4pX z)q0n;KDN|{a?y>|&f{JeIV$e3q(rxO{85aN1ihntE=i%b_-#UhAithRi?B| z0(#w={-Ag16|j$kEeO4Q?Gr162csp+R+T^>w(bxkyj{HMAgt~Aw|o{;+~>JOcCY^l zb^+QvV?RL|Dq^9ii2c@qdw?$vxm~RbE*8;LgBt#Krp)p}#8JdEvV71&E!VhL=wD?_ z){S3=E_MiA`}VOlQSOqfyoDDdUI9+j9&>mvI%VUMCV`bc94Q0Ddp6GVYW$iHUgG0V z{&?5=g0ei&U0u%IE2!bp3hgfj(?%&r{07pPO1ZDPEvE(YZ%aUO#2z^LOg#!D2nXRb(g5KT~qxwA%O@@F}rVo z3a&$}udUlYeE7F=qQ0eR)4hj6do_ z=joro!glf&5)vA8j$b7e`{@2!JmH=;Rs9oLQJX)2Gvew1$(L7F(kzOh7=Npu_9H%& zb9Ujsqk=C`k7kRl5;17(?BgMuMloha8!|OI&vDu61u9Dck#?O#44JxEi8=2;-z`j( zgTX=IM?A0AHip_$?wSC1;>Z4!a8aF0PFks_cdN8xqOfP(R@GQgX|frM7_CzGq4q*v z3N1_Y?MH7VCtRC;(~iDe3~(_inu?~ZnL}+zyp3G0`f&IB`m!+n%6zwqncTu&_HspY z9uRg^^rCIr!qP_=_&ZpHi%x{Kmwg+(hu4;9-|+N6Bd0BG>q5A(?ATCVFStdvz+Faq z4xvu;=_c46q(!@OtF?y?9gcR6YM_BtBac{*m7wT56=cU%`JsO;jKJu`{^51_`Dp zrF5%t$%;x}{_wQn_ z`_Cb9(JJc*dvUWuc zc;ya{=eZr*F(+z%wVXY@tmX024KATvNwyou&O2S(BDSz)@IGM>BB>LOw8Ir1E1{Rq z3ylU19q8nY8NjPvK`LY%& zo^63owP`Nd4;(JkvGJm5XTttU7Ixot&h`S$hHoxQ?{X)P%rvy@nj+ckg`VK(*hfiE z4oc)PK6KG!v!dXgGG<}4+NNZ60rwDtL%sFg1mb)WQ!C{&ufIDo!j;T}aF}#oB`)?* z?-TJl#VP@l;gPE^kJ|VKVmW=la^K4YgE?c2mGm0jbZm~e8)HH)+V(lFcFI0CF(blwPVa_@w%6R6E-1vGwO2r@&H(QZh4v!QzYP_j2X25&XQfxuPb-!Wgh&T z(eHXyu9?_yBFOk7*cIvlu5Z%Msd-77ei!@3%6Q77HJIj!ASFv8(=^==X|8bf*YrTw z*|?(maGIwp0*q5?rLA;3(L-Oh6T*{4{^sW^C90RtTL1_TJhfWRx_bE zN3iyQ=`y>l%gWn<9XoKP!_ntH^w~)qD!BD8o?+A031v%xy*{4ae5=XKy-~5o{NIr^ z;AGXYA<5*bc;($oY@H0%jL=DxlSh)rN|E~OY&hyF^pPA^m;5`K{ts@b@`I;%c*(G^ z@pvZP!#9S1HDh?z{1zFFWge(`@VwZDFXXx_CyH!cjd}8&`45M5o~|rJI0cE*2?1gX zX>tXuf*%8`ZK~!`T{hR@!p+9^K5*}$N?0cyOPV6v$OB5*m8=TO?OV0}27PyG5cteP zo)s;-&Ec}{$apUXE-AS$eG1HBB6RSDe4jWF0XGN_gP_U*JF&I#5bH2LeXZ6v%Qc#J zel}iwVX4V;GFS7_J1jf&Ek~r&mXDYo){FA5wa;#zPXI*!c^e<~Kh)^jl`nGWJc?$6 z2F*fs#{{$Oi}j*fwbrBaIZBL{K$RtFfI>0qmdnje+j5CnutHM zvQOOdV(%vGXrUOx?AAYIMLwi7doeC4cGFKI9zKrp!?-qlIiKkDPka7Dhxd!>c7y{= z3Ix2u5JZ;+_8CmI%p;(2_^)Mac*l`*RkK7b&wBe7)E;m_U4OGKO_qvg<@zX)59fqM z2WeiZOk(#V$2E9H(}1`2jG~WLYdKGBq6V!^nx*2XX0#WLN%|`9Nao~VIy&oS8+*Bd zoaO=Uw;n#M<7|OR^D@ZFupzL8L9CK2uEgBVn6kW=8*P6!Hw`le{|Aa^En}kW+!O2+ z8zQTr62&d2tFLw$slf4pl+09Jd{vF0sU<8piYN)0!}M7T|MSB1@fjnDChwXoa&t! zc~SbbnYqtYXCD2}DqK+kKyi^IHqS;YMa3BxiiMVxG{Z9*LWxacCbaX+v6zJRzdFH~ zLr%8Y349X(eEDfHwE|w`89&UvM_x?7961|1pCsoiDKBOaQEhJl5wqlSxkMn*uZCBI z=}7hNLyxrT=6GD-HT=-p*Qh*IFHYL<$y3{OOlWEZ#WvC_v%wH*xm~Yls!8pgz85^P z6|C9+J)LHtr~kJ&^Zyo4t0+o}O8@tGn*INfPP6_;O&1&e|Ce~0?WgrhP2BjO*cP9e z=_g|qGShcZGDl@x!~I{%wf;$G|2?i{plA5E3;fT#mX(S5KN4ETpBKvb zUzTgJvv4r|Kj*bApi1-JSZpy3;t@`;g^qrH;;ycde)O#9QLw{ie`HT>Ku$#kF^P+$ zegi@Z@M8idxs^0Oe{w(Hf9KqHnI2npUmw3|EkAZTa2XmdvFs$&i>&x1A=;tj;Pc%e z@(YajNFzW100qDL^AiBEvI>zyfqh|-=`n#3Y3D+`6nqShAJU@JHh1#`pzlL#&`6Ol6CgX7NB>9$$+A zkcC0xlhe`;y=&s&AA^Vr3M|?AC9{m-UIaZs{0#wwLBJuhCEFISc0tNv&w21}* zo&kV?0_xYEp{%ykq(}05f}@w82RUI6-1UuP`6j#p`XUC$AEA4RZRK0*h7s89PO1{X z4@#(K*+7PB2IkMDr{@<_Pry6$-vd?axAsM>(x-)J=xWShK{2roB>m`WW8qhqh1ZLY zxsmgt#V20CIPALy3jT~x*h#@~N>AEpf`T9;qsKlJygB!YkS9hDnrbiU$=T!VL%g!P z?v_I!-$1>ig3(kp1temBNTX7dxrGOZMf?D-2QC00y4#y_L)=beW@{}$M@KDY)8!%v{y+qLyg^YR?dFOQ%H4VnkQs>em1 zxx=?KOOJlHjG^sIya22RC)}Ka5AbsSIGq66)^CMqmwN1b(k(@uTTEC}QZsN*cHkRy zcLxFQ$CmSl-A_&n1p)yD1qC!LJRHF5+xj>M<^$)`R%sdY?bzkpSOFGJ0AS!73Mi|y z8`%DR9wXCtC;%2XA_gS7$S1k(STZV}{TncvdiIeGm}n!wv+h3W$IB z1lkY(4@fr@RajSvAIruRm^rKiNP#Oc$YbP<80p>i-)^Y4W_dMq8X-c&tM3p{e?b6$ zU8tRJ29gi(FFek*K-f0nop1gVanPBuZm@4WX>kO6y=TkIfVdsg>Jyz;F+bA&nb%jg z2(YYNJJpo$nHfJS7*J+R!hDp;5&fItXT6GZ%Qz0l=e zYcv)Irz@`}a13rD)nOO{(krQ+;SzQ(FTT-n7eI@qkt$GrWmZuEP% zJ60+^4iOf#;Jk%qTHlcrwwKR?DxB0=Q~^si+GNZ+Sr>$wVg9=X?Db5dS)(UL;Yv-n z3XA%k@_yspGu}s0xh~)9pl|e84p^3H#Oh!*ZOh+{H>?4a(6K0>_S0GGB z+HF*k`%TA9Zc=YE^HXgVU)}N>`z}$rMl)k_j!7Om=cCNsAVAEB7wShgTJ(!MLQ|-s zQG06UVA;HjaW%QYWMA3i=jI`Jh<4T$b1IOHS$E#K6OB-Ww4||99p2*RwGrkIT7Kcp zL*+UxSJD+B?~IsOKe_)`r$hRv>IU(x9!tDcO8HY5s4RYTbM^AS|6WG-uRd~D#F z&5c4Ldv%pBA0Sedb@US11gn{ON2sFdPuBHf1P)*Gg#!mM??o`mk-zeZ=!$?c3ghwK zfOC9P**l6#pIMR{Ts~uTo?WrW*|84t{1Cc|L~Vu*-%AG9u+K`t?PrEITgK_`OcVh_ z4eG~R@0LY|?iX1-eZLU^kz_blbO z#O{(qE&5}bE`%I12$IBrse6NK?}pUkP=kwnA|QzFeJm%N=1IMbo*@cvAGq>zUt0$P zqXA6E>0sBur})ORN2!3W;_W6v!=P(aEne#*Jq?jVu-++3#F=%? zb_knV`#f&fL?xX*K>=<|x9^|CtwhNQVvRe@7@Uea$T*|KvCx66(u8E$F0-N)DJAtp zhWPC+J-dOmv3p|WSafSHf}oxGNk401Ff%PL$w|8=WgC+<#Qiy%-H;7t_`565Yp+Bi zq|BC1ZLl=c&{0W=<7ylkjOceuEda_dpOd2j_+r<<3H$&z{QU)Wjdo9I=dNRV3=f27 z2ljEFqM{t1!D5j##S^eoPc!>k(X^=@C7AlPtRD?ojjxS@?>t$1lb}q7c%f?yb`fmL zn8Vi3++Zw9g4{NPN7~_K{nuqic1`1r=^+xjio@`z5c~xcXGZ{qQb2jQmW1nJx-iat z{_WiWOPt{NOeemfu=W{vb8==4B;%&Dgfx8j9ly~LUY#+DGY01f9ugQ?Gp`y22Q?T=oZA^I!lyRsdkt&`9F>0K zIe}_>Eh~#78ACT93sb`fClJB#E%O951Ob`xJVx{dq&v3+oQG5T8O&!WS`8312P#8A z`w*Xab`tV&_*;2~%BaOttod>$ZHzq2%IPM^;clfpe$Fm-|Jf%5*_CI%)zYb`!z@j& zj&B5D;FYcno{!+!hsa;;C_?mk?NJbmu()p1a#@1-BY%fD)Ls}V?@=e+cpCP~o0Xvk z^No@GO2~Aze2-^4bkr@)C(r<1(M@N@lt0{7J1L-YICD1;Z|S^*Z_+IV(L4pr z0DGmr)r)SOcLGq4dAiC1O&-j~tD0VC104(Etbum2mi?2Esb4Cr)zvC+ERdvlH6dbX z`y{B{S@YNanQiPs_%H?lb)D05>SN}#ZFh75m#t_-c5`PEd8KFOT~WPnzje04M%+vS zb;w@%Nyb^vJgUk)$lzoDEnAVGZJVl-*FK$ z=In)UwNKqewa#l;r8@2JtSC1lYYTISm~*@rh1-T-Ot zq|eb!s7EGSg!s*KnBi?6V`Q44;2oAxo+88c=`1>2_9_vKwEJZz}$1sf0 zP^Ubu3#{h!=WB}DDIbK_nkj!T)t>XfZAE-z9qmmvew$@Sql8hox<4*bwEQBnh%&-D z+D8dW^?7c50F2%`MvWNT;hwf~$Qf7>VJmJ2=bqk&a=`FRNW|o4xYni9BQblto`O`$ zW{|(iKN6~?Rqn;egKmR*T(?n};`%8?-@@Dk@q594_o@Y5bkZ%4a)cyA7YW)pJo|(L!U&Xc zLKl1?XW>5irK>?c(*OkcS*P4hiO<1H^il-3FK^9EZa-?HpP(lA zo0abB1T;2UZ}Q@ts1LVMIyL{uf6I`1*Y93bo0omB;j$%5$f2*&8x(Egr@3V(fSpp6 z8b3l);=rfedPM<{kaTceFi$%D5mV~5DFx?VnEjbb7(aWhao7E!%+^L=dk_XBfv z<3hRQHEiNmtV@6Ec_m$lJp}wT383OY!ZtHGYNU@vL&UjR0`E4xEquYrgo->7+jd=t z7xA3_Xbm@B4jkM=KBZ!rfts-g>Mg0ua@&HiZN?;(Te`-l^L>XoptVmkz2qeF%KB{t zp68p7aE|-lCr}9f;Jf5CFmh&AMN;dyRM#SHNh=P%bFuaCj=>EVsF9)?!Y%%lMO#gA zY?rf@1bl-r_a3hHl98WYjHu#67+I|*8N2umy_;eKP`{0%4D}ev%Hx8W-8D$6g_EHV zz0JXmhMN~7;c)GUGgg-`t51o|P%TY(B^l3E;L!?H-P={~ZBr3p!@*d`$xU3O(bF(# zp3PB#=eVdopBE#;@2hU};Q|EADyN8=mgWySTRSG5+uDQ`Fhp*~{L~y?6p2 zr3v)?_FIm)3_t(jDfOwG=8)&A#8{!$KM-ksdbw&x%@}<_fr)1!3+^7j`M#_H50Ni%Jw51?h>Nq#zGVYLR zb><6Jt`bd|dA+AR$g2~#1u>5CMQ-{8!Q{V4*4J@L)*^(3UpnO7w{6<$uLPRB-cq6` zY8*%oT~*g}I&t~1N%b{OHL|^C{Ln_xRS?+f=+ug!^L%{U_kvuPa_LkboH}7czexV( zu5kODR;|y=1zE#3@)eZHa(!}7DXZB!oCZL<4!wHcrw?C65qDDLy|HiQai?d4l$TA0 z!6)WddqL|Lw+#;PZ0HQdQq>;DtYhVU*9I%P=wXirkGn4TszP~3Bs z7~RbNxj>JKUpWXd9#a!|92a@&e~wXNx@C{gMpIv_7G9EY;|eCZ^!^a}1WzTueCyk? zOP#TtBNgLdiKM5ctb#`B77hHE#HvpObpy86W2Uw7xPbA5Y&M4J=jR?K5l0O)ihhg# zoXm|q7*o>~ICBTzC%)8~+|0-dX3Qo=urKm0FxqmIgDa__jXxD#2i%*QP{BzZ^stWH zW@V3PU{XGVSFxWf3}<+k6m7?*KD+Ld3z8{XyzekVMS1=xYM>LeX00vASJ;tTkwp`$vwWY^r0_Q= ztvwF*>;anmNgDX5f^W}~d1xrlC&uFzXX6(4dTm%hp9mo45}ymw8g&Q!lyYC$?yy`wWmkoNSyjyM<2KLHxIbX z2i)pCCB&zkj&{J>a8)tdQIm%IMNg zCCbx#w_t%aML6A%RU~qo-lbGci%M=_!baKa^OM|C+-28Qbc>(cn+Vn(bq?{&G9FA6 zNS;>a>RSY|eHzP8M>T+L?N zr-Jo&4f0vFhmX1NK_fe0W2=pZBP$-o8N=@U6!@X}Z~RUrr`Y=98Pd6;?&o?7vA8HB1c!>$$IT-KXm^J3PNB40E->6W_2{CFRuW8G|##xUwOUfPWK z29cv-1T=w6KZABc4`i~bWDAahl_c(XO?x>hLBhC|8Uox-_x(`t9o14=+@Pqke857X z`N3mW1xVamwYYC#H>%{CVmW7`Cr^(kV8wnbi2_%7tSp>*2Kc^N#|f2W7kBI9!GjmC z>mMB^07o`*Ikq@$m|((QZb#+Y_?cSIS~o_FN%GsFq)6j-*}Y-0z=K4a=BM5Maa*YA zb0f~hKn+l&M0Mfl7fZi6&6d;>ZakKU;y{09YN7eVgx~FeVzleyo&vZK&XJ3)j7Nyi zQVLllKHF#(rS->9t}pt`*31d@K)!`> zEI<*aRsQ2*DcaImNJvy!r(dRU!OKzyn-%vmosgn5#(IQzRCtAOsJw5{>aDZulq>iP zys8EuEN19_SIjdF)ezO&BbA7Bfq?V=wqaLx;6tItfD+#JJi}F9rjVe41n0_jPuCH| z=CKJm-L$!XeN|Uw0<_;g1 zuSgabqfa0%-_9lVrOdp(`T=C)>Y*w9Ziy((MrqCqyV^f)3cWOEML@iFwBtsxH73=` zuV55@xbI`mWkP@6A|`kF9Y!Qkofu^^UUabLxPgy*L3oAJ%Px%wl@vCCRJvPE%rlWO ze2-qHsR-d%0jYv#VXJ3Qt~uJ{WYg3h`*0zX20_%Zo=WB z3A4hBCt33c&TbpNsv8yRdB(3spS`RMtsg1t&Exzth_rd7HkBN(_v-+~1BeGSpXH+e zr=!u)HXO{A^dj?y0r96rx4$u>x{>3G`@2QEbIFE-LlX{Pd_upf+akVr92yzFeq5aY)^$}q$ z%=kUcH!yxq``L9j$|xvH>TdHTT}L*bI^p9CYTA)TO9~>A@(5b}5Bn zmRJNt$3nGM*^cR>(312Ukih0X!-?aCqP0Q88hIA6-|B%@-b7ZorcTpcFS7TBvp-Fi zFl1YY5}v@k3B#_2;dMg`WgJ@zneY-xR$flaUzysbuvDHXy&ic)fAiZBFSZO>5c5Ey zjF!|;V^Yyg>OQz%H?LM3*=ter7p5t8CkUN+KmaFiO*zY3E+)xguE8qBww7Lf8r~nS z5Pa$!1=C&UCBxInlLRA%l7N!^JY|~Zc{=W5g}|=WD;|6pWhu?Fk8%ds6g&!Bx4#w? z1`zT$8ZyKCWgjw0+=M6;JeU_s6!s`se*_Baa!t_1gBC*fJTuhQg97;IOz|Qli(yLy z9!1z}D@=C?her(eBa13@*>jI|C5xTQAx+fb#x+)MO0K)L zmr4tI3%v#ISYV?E4GGT8ekd3v@U9uxFFf1PNJ?K_lV%cxWEU#-o_aE5^Va3*T?!}3 zSOosdvC|>^|NR2AKShZ52cbYejSQ%Bs_=K1Csg^7r1paq3nN)^snLL zZ(ptMYxx@5Z7#TbPjCk}j3n;4j_o$_?(+1Kzwkeh)$n8%=by$LiYdd>ElIPc-=k%% z9HXZ$;0bRBJdgsvnK%rLl&Z>L5)vnpPu9cOe}!2o({>4IcFg3~6WwT-Ej z24iYL&L#Fh5~6Yc%o@-R#>R4(-Ci%UqWMa_Hy9&VKc_!E)D8i-ur23Z!yt$Wod+L_ z1`4!YbU$TA=ViTh-^}Hzd7Eovu zfaZ;oo(lBdw7P~<6K8pl($EDuRd>k@@$D?#zODAbTX5O~kR)Z)=~jDX=HQXVezp-c zQn|2=Msaq2UF>b{!qsF#c!^t!a4@RlOC327GkPbD^sNPV>uBz1=okM=K>rbiOR@-y zfSl|?o75r>%dzC@e`hQEcjEwjL|wcnRqITYp5etJ+eMUVzZNPE-2o2!ETLu0^)A^L z)5eHlD#~qU3G9a)P}EJ}@u_VhWS14sE@}z0iqVOL4CQDsxs^O9(7x$ZxN!1_62$Wk z(p-nZCb?D)9G@M+beyWy`b+vwcvLFNPrNX)GtM>*s<;;;gAnQ&Q^>XNJBr&(msTH# z&`k@x6Ju4_Jm9W}{ZwIE?$RxuX}LN0yC~JT!?ec|jkP^R($TL8hUUlJ{PJ=cU%iU8 zCf9*Q%Pw%)nndlM2rN=74=ojwv`-u>M?c)%ijiyVWh;i|o^(#McaJdvhx9OGY%w+5!Ln6!9G1V?dLnupGMlj2x~ zM97XM;*Z7%36PyR}lOK;59zD9)dd+f!ir(Q>gD$Ztg0Q{OJoK z>X5@*|61MRYiicds~{^-dmfDdD`N05*psFhI(NCTWQ9rv1*Sd-6_uhT|arN*NLE&hG+Dn3SXRKZ$q*qS})SW=zuRry%VPEOt_dHPR3jj$1 z4jEWIl*)sJW$EZNartElt0)RojkLBsB~kAm+Bnr1cH^PS%0Xx6rSh@@po^Q(pft)j z7RT(*s9dr6)qx#ZfR0yF;8LiDXdmO@}g zzDDA^HMMoUSvyp{{)|OvnKJ>x-G*2xLt%mocBdvAjwfv&eEng|;sKP?b~V%GYS}(l zn_&qKX&a*)8*UPjERQ47#IQoGm-s@g@6C;yiYF=VC8vW&Vu$d?4JXxoI@r-N+N0S! zEIWOU`x_?sTKJE2qLI3hMWO3b`18EcnKi){ip_qmVI*%B zl@tbpwhqIHySo4gPSR))^0;~9EzMP~vqHhJ6hL8~R+CFKYvbwKzxkRa+PAe>8+vBL z7a&CLoaDn=l?=?alBzhsP;dtvYOFcuW&uemG|(qx-jqtpY8KJ^?2o8WS}M-hTd_57aUr3OU|XK0QL`%MSTn6Bw7r zMyx+AHc(`mFIz5EC+34aTmNACN;&+<|FHB8X;IZU3hU`IwNt+o?OJGC(jbe`?l;?y$$BC&4F;f?0NIK6U4u&d zU|QB%C!Ip)|y#rkG@2GxBc=Qml(DiV&s%z0hu8yATM_g1{9@*=n!$k-`G^!MrxIa%RFmGP-+c6(L zbfB}+N~pt8sUB0^dON{^(szwk{YJuMb4Q!jZaG-O0UpSS-V@g{ZIl$& z^#pah5T<-B^}61V_~#cL?q#+2N5$dBM!2fw>z|C?uxx(|B1|4q84g+EzKRtqF~2;2 zLEjcd;s*9eOrAaGfcTVqcv9~@i1BtOi>G6~8(3{9jLx>3DEl0i717AFmBP;6l$-S` zLMACFzBIt^6yz4mpZw~*iQqrT6kKF@@pu%sF9}$D1 zIs^TG&AKph;L~uh(&IBQFtFmYv9V}F(Fr*IBOdq%eE9)Y^zHr!x5CQK1ofj)_}61J z3>-h?iG-8BmARpSjj5F}J`Kaq0YxWcYZZLvpXdD_Xcv7O(|`9Y{Lk&blm_|^4z{lU zTK;pI@qfw~{)h6wz}d>m*op4vxb;731XBlN{T~~GvAwgt6`hr_qvO9;*5)=pt^{jm zD<^Y1EBAlrYW{`M{I6gQ)4$!%{{(B8|GD;m?fwxV(6jx=?&s|PSmLuWu(SR@gEh{e zN{N=stTZwBut;Mw1e+wA1eXzBZTkmV{Tg#m_-tbrn*#tE}Ao|eCB0aMm0bW4A`AKku93gZ4{OEK1 z{1E)2Cm}*yLcSP)SEO^rQD6X5-r)U^ke~z&t;X<~!Ab)CfLS)P`~&*<1sEs<>?r^N zbN~4H9q96d{Dvxpx$_h7WriJ1ZOtM=;rm$)T7PKEi7c8uCdDv zfJT7?4&33#L0AJk3;2-)IDlai_Ry2Bz3Wo28)MIysZ#j($jQm^{(+8w_iso!+ynIJ zn}Op8CWnf6@Dudog9N?~)XMEny9HeF6NRH+ux%&kgS&(j6!b?AWP*VSE};M6SRha! z2dvCt!hpaMMmcb@pUQkhUn zE6OKBp9Jp#1nfrS@JBF$djf&1W_$8v8M^yL8cO=p1l@YY7G=I4Te zEajVki*N_@Qox5NM~HR`eS7~Z+25w}%f&|k0xs}xlJ`W%zL9f@!mxPuj5g;*Is$D# z=`s7kd2a4s-^VeD=pcZuEC00IRi z5%%BPi|7CLEqQ$h_#*rsF9#3!q>$aoiNdtw0+GLC1E1La9PHnZrDp$*f;LkQFn5)<)<3|N?Ef-Qa#)|G(@4|m;?YqOVZr}ft zG$axwW!zRa_a63^9oaK`?@c5tdnA-lNJd6hHd!GndsE2BCc8YpH_y}e$$dYc=W~3H z<98qa@IH@gysq57~CIRJ{900T<7yl>Wn&1-@1xfuT<>mYUb5JVc&o* zPQ?qeI?<_S+gTJf#3O^yz7J#Mv?3pEw=%xTQ9O#2-|u#`O(JsF0KP`pk&!7VX_)22 z$-1&O`#ou;bXas%=(5vx!&H`{jM1pVciR}g;>MyGHwzwj(pwW;Rhk8l9}N3ymPC!6 zsyKBq;`TG8`R>T8g<42EgZ5|Yf@zb_wW2>nGjR5fg~P)haoZc*vu_TOD=5yGkcqQj zSe={oD5|Jb3fOTd;bCj~*uZMW>IHvRctGZ9mX&N|K9Kfy=&E?+laLs)r{;PU{zYBW zz7;$s985PSa?^y1H3n&H1u=JW)r{+7GD@wU(e%y)?2fKDRVVaTuK@qd8!D!JhA+?e zd~`s2E{9>4jl_&JbaRocyEW2sM31}xrtd~SnkFW4J5iMRr~S*iHw7KtFE#3DuCR8s zUAaTAGNN|K$^{FllT4W&YIw6B9lJ&^^u?lYMW@{_xG@K{Y`?>BXRAsM?~ zt^H5FtA`KObXYY)r2OB7y?K7Ifo=%ql8c`mIoI)nDSJ9c!Obv^)RKuKZ|Djm;KY#g zci1y71qA0<)5u@Gl>V5YCWFCACEjq0I1AG^cyWo`q`1}xR3uunEW8=t#I0*z z8VQgwvFH7ECUuR&*k+=l-`qM}SMuwZ+4;&B`vSe+x!t9ASsqnc%~Ia&&bC~z$dteE zFmwGSFG-vgc@F+)k3ft1guW2@N7Med=iO4BL(=ukK!H{I>#PZ1Q!^ekWE`|-PWwpR z@*RCXqG``FS2E~cD-=DPbW0nh8X8we_Q7fm?~9ebqP6#rIfKZ>Zx1Pb$JWu-7h3Y; zNjFod>R#AeCp6u9BzN#gGo}?4oZGJB(s5}<*8^n&&cYL?v%&-$O_rFDSTjE$rx~a& zY*cBEzM+)%#_LRR&3xkpt4r_M248oS+21+cStF=RQ7LUj`eYR*!f58s!C6Q(V^O5) z`e1acs!>jn^0s_EgxVP@)3lB@@CL(t+Bw#XHw*6O>K%sMxR&hgP^xSFdB3?WTmGs? zbc^b9x5u+3f!)PVn>+=749#+UD5sHV^W{z5_}K#=Oem*8drG|3gnEy6Lfj3+RNd)a zczYsFuf1NJ$e8O|WB+|&HHOkPXZbx zC_Cdf7pmS|Ua);t*bw-X-k|kqY`jkoITwfL0p&84dicU?=~Fk@ZOIRoNi*;sgg!n+ zQ1UbVdcxUeg$&`g$#{x}yO$z-ud}neOq4CXZLam`x2`5tJcYV+p{5_dQ_Gw6?=%$ouv@we|U}bW$Ew}Jtm&` zk?(iJi>l;hmDx+QY= zGk&J?tx*ox+rFo&-6c}4rKO_SM@ZzuH&8THh%R&(ck$)fQ+d0j?i=!{V^}I&c5(1* z8-K2=CmBz1@6xNhIl|Pu-oii!-FnA-j~1o z8ZLTIh9LKLwHSt-*$Y7&>AGicl0%s+XKBtmO_%u+IM#KM^U4+5$vuT$2>&>$ zmMF^8(5^=jW$`&GsacGt_Hed?n#sxQ$5y7vCuTGBD|1mZ%52%?Hw`D8H#|mBiuhuj`sT zgBHZaJLt%~ws%PP7!EldUf)iX9Jh&74{5J((;DkfM)1*ya`R0FE>Eo&*9{e1HYs^r z=_*{v!d}Pl)9#*?eEsgv@(x@2Bz@6OMtEBl+|2Xs6HTj-;9L?`wSGLeb;+LC29gIx zvGD4GEY*?T44syo2%aFq-TMAViBTC-?P@lfX!KB4t`B+IxyE!K;F z%|>RyR8Q5l?_AR?*HRldVOZzJ>MnPrjf5KsBM&zeWT1QNR?Ge1EZYw~>g~^~QEY%-m3PaF6!)s%MHIUjy41mD_Aw z&EH6LTUi(a$!~>SYnFR$8$+^lT1&xMi6KXIag*`#VoKz~?r2`ZQXet(>o`q%vh1QQ ze8;Jv*6H=kJb}HLHr?;FG=wU)a_udGh5qNr_^cZdxeImAIlDalm8NdW#OFf=EVBpf zQ?KvZ?F9Th6lsh$>%0j zn>1+GG)_dnS&F&IzpM>)Z@qCAugJwgsFLFJX}^y`78A3CJ7e^r9p{UhO2X*B3OEk8 zKiOZPapVd;50S6yNMzJ;RnZ;q4dC1ubPt_~Rqwdc3oQvI-((q96!OwYc}^wug?rg- zo>TTsI%@6P#a_q9lS*+O--R!}_=0zbLyMQ3hYUfgkgAZFHs9NvO|7vsn{PsuWKnx& zwffZkJV8BP?K_Z>C&Mc{=-P~3DgiGaj_;;tKl|s;w_dJEQuyP3;#V#Tp25QVZ5T@4#AI5Sjb9eJbq(Q35{LlOx zzFpSR3HN1Fow`dmOX5mkGpJ}XZicxOE7$dchYqf;6GyjBW$CffywvSyY-e7KAu8LC zmj2?$J=Htf~78NrSudWW%tlcxV(ym{Ag(>Dp)YZL1 z3!_ab+UPzY?L7B}L~15SL4d>?84bp>_;@)Z2f4U^Xe_+jTyE#wX-MFZCiSU9`sS)K zE3bd)x=z(f1W$P**AOv4|^5B{)61|ZlN>*r4!^xtdBDj z{JuKBcsm7pL3TgeTXlG(xoxUqoPVvFUZu$Y%I%u$dNFlJZ`b`tLGB~X`oy}V>^Ct> zn93(Z&QpexB5}-8;ho7ftxX;cB-s1^MT_BAqrS=?2k4)Pj8@qkIVN9WGk%aaoY3*d^L2D{GW}&l} zzBAjzKH4H!3yBTs6`6h0HN03Nq>&V-Q(={A`Gr{YOKuGQ+2^i^^xYuS+{kIeGCDS< z(CE7AlHhuy9~#ozk~L224)XIch0Kn@kkK=G-PY$6o(mL)RPVW26;P)QahMZ7e>y@@ zmBQ~t)+B&A%sVVJ*5Il4obt*+;4kw!ez1#JoO)DUHM7d6?VP_r3&YP5nnjSGLRSD5a7Vas{*p{c(O#)~&hu z1ADs1`Giz;6>(H0uc8|UJlCxXTh^6Q7?2Ha%;nLDNU7xJNgqtmtNK#sh>!8jS-i59 zqL~FQTAM9m&C2IrT-S2cpquDieW(0Tg1MZ&|I|*d`TY`Na&O|?jUg%$uC#uJnrcuh z>sN}{xFqso*3W}EtJl|79bT*yDV(NtC$=LK_}uGK>ZTUV{~FR61A9Ftsv{D+Rm}=j zHleu;jnx>8c)@?_CXBs>QX@FiYOYj3XKCkokEHd0BLV2~kKTAkr&aHb;#;{HDNoD4 z=xS`IX2uCpfEZ}~4HXA?OS4|0t8#hNd3{7+v-xa9dt^#G-j-62+v9njF(2YRI@ zQ#}c?LiA;^vcN%tec9?nir7t;*cHDPWyky|dy*U7i~}O6esG^k5yn57Dwc#4)d*LM;k)hUfi4-9 zBd%H7VzxEfq{Edyt?VIrB!|zW)CHWit_AZbya>F_>ERaA-e)MGbO?}7F2>+|8hT34R9 zZQ&(AD{GcbODh5#S2%9yKtsJr2x8<{S?;I3tu)shbib572Yd-+$b?rC`52XF)+Jsa zm5FGi;7BjvvB;&>qU#{txQh6Y*sP@TrFdF}ZF66IeCf%GUnFhW9G|YJ1xjtg_R{uD z{yDFO;gHm?CRfQXH&?IbZ>%Yk$|S2;^?Wz`AveFs&0cw1#XK}$=`5SkS64oeZ+iLR z4cqVa7pi}FI4&!6bLEc=-mLH-3KOKPed9S-mm#Nq$6Xc?&0vwT`#p}j^9zl=qh2F? zN{br89y&lZQ$ZhLX{9YJHy#6mi?@w+-0AD@uqusV1w+DiZ!F)}%u5Z0m&}uES0(o? zy{e1kVk79rls;K;ayi9ir*~7-L~J`7Ktl0~ug5eesVmJ6_{1r@3 zM3&`&cK0RLg5(A!kFY0WR0QGvWI}Ogt#8&R(B~u%lZ6;i=qqFuUf_rr;P(nxY2KFL zZ4$`DJWe3iz+b#FsKFFbIycv|y1vTPxQ9Th+D&T;&H-Nz`xP{D@YN71Gm(v+^8 z%K;3P%+%v|lfu+9E5GHSCTQl%O>=lj5ih8V=|{C?{F64?@8SLFCI z<>bd?;K~#b4f}M;yEz5eyp|eWVpw~VK=Zk*GYUe%pgqG*t<$Fd4tyx~kCjN9Cba^h z3MSpGh zD8!6Z8Hl!hWnC|5Vr2FLQQey9A*k3oxF!%-MW>&o^OgN3x9qK@QX~Hsr$n*2H)#Y} zH6JdAmwr?+HITtf-*>UR!}7wreC(%Oqw|hd(4aPp-3wFyidC8~B2lA4+d+Oq{4xoQ zLM^=y7f0*44q^j6XUGFVr$)<^6Z{?=Ha7*Mr+5<=ReY^~yr|q6+hE(GpnUr->)F!c zddOyT-7OuTYc>%weVZ_j^wRUD%{iv{iLHq9v+f~Dfl}hs!)04LJUpJJ5NICBZ0q=N z;fm!Gn%c=%p>o_($kR_#^0d2tWP5xli@q}Ru<02Fiq`Fb^ti8#XsXF@B${j8y(TV7 zZT<)T0mc5~e~RqFe~U!^x5%!9h@zx|#&Kl#KNT?m1A$$jQac2KMgW0b%>R$T?td<0 z@OLElIA;6zQW%yxLKz4FJkNnCM8)C)9!fX8%7Z5C{P5mtOvCDj)y?u3Z2y5JLVr58~gzsHiAQ zDX1QU0hoYA7tEiF{Y@E*56>D|GQ=s)um+b+&u;ZBo|zGVXX&o1rXj3llh zA|ZC97o~sTE(V9Y#}`)o;_it(eN-^zck=%4P_V8s!BPtjcLCq@H(Q`UvdmuwLSt_u z$nUjW{&w{Lrj?T=Yfd8hv-r))ZFB+)1Yr9w=3;x@Bl7%jWWmlU!Ulsw-4nzG|F(;c zJlpRUg8Xw4pMTQ})-i~U1&6x-5zC(~|K8D%-_wHrw9y@XQ)5RUBg)npID7!}%9tBD zg0zm83xXVPLJ;)$Nr&*aalp9#TT~y&o3b?}VkOLm_Ag9F75_IKc>J zFqj!=CueK)-Qm7#$mN?7gCFx>G_NC-|}G#Ul);^Z6{@X-NwQievsaAjZ^ z&b$~10;?SujDo=cuk!nNUfq-E+>wtg} z7#v*z6vAFF1dPGa3j_kgwj~&NPe9>}2Sq}$Fark1AhFg4hQN+;2v6z?0s{z*BZK4O zgCU_f^TIG-oH^hS+;zaAM{ehYjUaF&7+3ZWIzYgH-G|i|0mtPU0tp8W$&+&+Fi0F3 z5`v2v=!&y8BnpFLBNX)L)Hpc@3WmUyAyGKBANCw*C~jXg6b0OVcM>1q zim}fHFa{1sWAWwK)#1ue*!G2h(HJ1D`@|f8TY~`C@12xEP#BzZ3wUwB@w-Q^3Cl)+ zyMkeJ95|qGxB(0X#rA&?Bp8Xkj{q4O`|O4wF$fg)I*=F)wyuD)0(jrSS{n)j#rA)| za-qME=j5PoZe{F1$j1lbzH9DbeEh<}tz>KK1pEeY=;)7BDH{`8;0Zu+{3Hg_;zPla zNVqUsOhQBiibf)Yp`uVRh=>Rbffhp|M8!n~K>xjo4oE1Jdos;8>w(wUGHVKg(+Nu$w>G#dZ=Uw{7of4uvj|MY*q z`}FzaFF(Jrum0=Lzy9{+jeYa+^T(gx|MAPa-%p5p^QYfFfBMts4{txc`xC%F{qQaR z{_*3#wBP>p<6Hjy-P_Oa{`B_Kmyh57`0kJ2|M>Z&^)IIV{PF*LXB|j?IZ4AyNZ-Hv z<)?RFKK*t4@W;UG$kX%W@8A9W?$gKb|Mbgu z?>_zI)uOB7`^+gPR`ux+|FCY59 z6S*~iBRzioGSl0?kse(#lfOvrCi3q-&!cZ&BzhD1FTdVuf06is?1x`|{_=VJFmrg3 z{LLIb|MjQuW(Hr8Kq0{A53>N+ugKtcVE6g=qCK{fBE@` zkMFPgzW?EU*EKJaIZQPC^X*^W{c!&HNBr11KdP;`{D^^g``vFpzWp={gL{!U z9prC6eR?}jCifyiY9IUMyC267Gl!RHv!6bH|6`jAUq1XaQ@==+egF2?FIdX@zZ1QG zkyr_OKQnldF6#_F|MuOY4KEV3AKw1_{a-))<Ep-F;BV7Xzy0+2?H_;mODBGjNX^9GO~fyfsn+mcAQnG;BI$qo?F(t~ z5wHG_x9@-c_`}EV-+pQ4i!tWa|Ml}nD4kdT^Pm3P4?lc<_vMXw_5WNy{ug$|&tKlW z`h#<|y!u!B>d*F@oZp1(lPl?)=#n+L1PEIyF`MvB$R&qR%Qvn>Q^HsAqj9x*Z`SzU z)Lcrs&~r(_yKl^^$Nx=u|GxIQno|n)!b>UIlKV%mk&VFm^Zz=_4f2Og{rLaY@2w2K zhiq#vd-eW+rfhw^pa*U)E`=y@izyz+0=K$qqb~w#O^iNusKY|nBZg0r<6UHnXA1z5q4M!_(pe*t13SR_WiPO`_-K%zxw?W=WMYem2&*GKKsYX`8nd%hf*#v zf`O5&i=p?IDxW8UH=#J^qL4xFY)+7GA+g>;8$iEFY}s?4c0G5O*iFB0z#OU9=idV5 z)LUn<(9tG^fWDh_daS73mP06E7Yx+s(7GbjADZioGdpBkEoO1~CSyf0EYQ#^XC1Qq?5a3Et5jbxV$%YT$%PfsMriufDv$Wu zggG~mTixMJ!rZE+UMzwO;b?DoLnUQX5G2LM2xfN@cal`}zjs$H2hT(Qc9IX*@rZJ46N}SY8XV-`4nXTxMCCL%%*?5 z!3Sk4M*<41Kp5(}e;_$fU`aO5Td37)-KM54>VimsVI|8sfTq-B?DKOV+Tcdwg;UtNm%VpTjX`!2D@2Y;0giS^cb ze894P%U;6*Dv2NyE|$C@f-zAuBvue%Y`t-Q)4c3sF~-VIg&IpHTgeM5BbboZ4RDwN zFnf|9!jy>>-0nm}Vlg?A_lgLr9{SjBYVrm;%F5=UL%pwM*E|@Q)fiP1tnGwlbJM&4 zi3`Dq{(%kbsi-74T8NG_vWf_OpKIK-s|ILX>m?D^9*j*{6M6Ki&!z|>7)Q`ElUM}< zF$!|}2_gYrOg|_}bZnlM>sV@W;Tv12So#`-`4I^`vD*U2MJOdS_W~cSNjbxHRp81s z1EMdO)CkRAoy3Ogi)A+|bhIQ@&M%4YOoG3&fO|MXS@Utp!>U=}SD&5La8I8uE#R85vMKR13?3LU3SJU?%2E^`sNjGxR`~E~Qc4;h z(&k~?OMHh9gQ1xvezSd&%?h7ZJuK)8{$UNjJcm|_xdZ)nQ9U(591=aKEPU-0{n3mC z!Xfd2R)Iy&!`_90#;Rc=J`v*sa{!PM0+k=c)0-`RDG?@nmgv8q=n;Mq)Llm(YzEvz zCnqeN_;grWSnZQJzqsLH34oFrc!wj>N^10h64^PQ6fmsYN;BXmKIWgv#i^D^_?t}I zo}#t<{(+8_ABvvS-NQlr2F?U5LRgD%V0>>&4$USU$Y?!0CHlgnq}Pf`jXtTXTFr#+ zQh4Y+XBvMfo`;d%cl)?`;H9LQdS2~iYv;f?$a6$2Iw1@ zW}W_FL;w2$FEAImx(xWk2L9CH&=pw3ug`Wxes5T?bl^b2OOr5C%E?o(JQTB^4Y#>- zVyijTxol^{5_>fp8e*5`UfriPd^H=E^uHhQA>AGRuz|mS9zLYH!(VSp&hD1*{XDqI z>-_yz!4P!BnZ-OByg3wgl1 z0n*{GM|;v`cGG0^ZU40Il5zVbPHr!-Q>ezJ3%hj-7SIg$JWSx<8#ou6LQvSnV469F zT@&|c6n2G`2p3FZ!`Dq%*)`l67Zz=?{GA@VgyS1cEUH?F7;N;U@nIvTtXpq=<{^uQ z2Wz4=ntwq1bJ6&40>D2g`~+hsn4s`;EzrPD;X^)b^-kfJ_ni5y1h!nTs#cpYDl`0SJ-P=yr}5!~VdOQwx25fANPO;f>mk^ZC*ZWBMoVH>AdIQGV);0w2J{ z>RFQE#X(0H!c@5{b8WhUzYrlpLS2G5$u%XT&t#M#;1wq?^kYesl zuLd8QFYKYsXHEq(0n6Lq#NAHYd_kzSHu}IWreOKa6Sgbxy?aF^XmfjGrr)o|1Z9mBnh4u6#J0P(GU>8lbiXYe)y?>KBhi8By^Ks(~jd4hM& zrBL6WoUMWD8wV5ayH-21e}9(n+`~utL5};XP3_<1%R%X+l9IxACi2));p1~5!bZxY zf=dCbg_{HYW50%d6UPhtCE^H&AN`iiN*pgvsHf%-E^+MR_jDp+_@H_(L>>`FJ9?*@ z+C22LxRZ^#1=%HW&POiIMs>J{Xoh5!TwL&HCC&wtlC^afiT>G_**0|D&c=H&@=@z$ zBB4q&4{16`wz-TJz|NfmYv1${7qW0GoHXmx38SACOV zJa}r5JFg7Qo4A?|Ubcj2PNH@~AFL#TFKuew64AJ@6VbyOeDH!5Tbl7AKIY&B4TaVf zMT8{-w#SBu;VoE{v!tRyYMP z$E)`|Y@@TARB>llQo%B5WVd2zfXHXnMO+%7H@AHR!yFntDl*vquqMNX%o*6$X(~R+ zoT-p|=XYct?pQLaFL<;cEH}c}WH5DNI~EXR5vF!1c1Kon%`L1zkX3^vHyYLR2brgP z@3WC)SXCm{?5b*eSQmG87AgW|8jj`5PF>acDEL`Dcjr^x_0gqo1et{Q1D;6>VKzXQ zhUbC|fL$;J15{JT?n(g5Nrrq~ObiSg-zP2{MR-pa(FqP1?xMif!1v&Wzo^49Xb0aR zDhZv;F>VeXizI^qVX|?XwqZiU=1fktBI5UwH5`UT#>$|op(9wJ07f;Q0ef*M03LFt zpxEUc6FmUQj%#_XyB>v2=VMs(QFS4dZ67gqp|*&_I~mL+NJrT9k>eJHk4}+6G%)gM zR~u|tC`9=^iN1et`dCN3rsyeu6VVa_=V2QP4Arz18K z47LFs12ch-roenEX#vKV(X$myG7K|1wgddI2A_5Zj5uz72quMrI54dQcFB>epTed- zw+b5qT4;iamMCzyC9(@M_^EZ()!(C21OAPv?Ln>(&f&O1&>S}zZ1p=m`T^KhV{;>n zAA6dzK!LeixJ-7G4u-aZO?QEx4lou$?xc%@Sw9u!hz}CRMGrr0? zXiLFM$eT(moTw6AR_x#|dit}HoudSD2Cmt8n1g02?r=6bN7VzCr;rwo(8Vs;b46!y z;XdG0+{vKkBhT^It#BNdCbM@kj(_1X{Dur#tQ2b$8BcC#p>4=8whYNrWYF7%`zRYS z#;MUxlw=8NhbGmA3}cUl*2x}rFco25D!4Z=9gIeRHhD~< zkm7SziF<=pfgvUXyHAx=9Czsk_^20pxbSFW@b*nd^r;fLUzQb7VX%kU5LFnNZYmuU zhWm$H0dG{Hi)5%F($SM-k%xE1Uu2PiKXpt1hWZ90KNn+NOtrcdFpLtTQrB&V;Rff$ zSjDcwy2q@MaA*eG0%%1wFd`yc)VTRr=U@O=9~Bua7EIi-X&tvNXtkgOSEt^oFd~E+05?VcyG8r@6|{#1Psnc-Zb7jIJw?r*?27cHF>vy z!;H3B2_J+AYnb0j-!+j0nS`$gtb*Jg>)2-nl@avh-Q|!Avx!#vK`FK$(iiG6E+GBBJ4xG_T;8DETnC@6}_H1)hIwKGt*3sM)uI%rk^E z?xYhl2-9Mg&OVu7{V-Tn!TV$q)kyeil0loZ2fwn4L7!EsrW3oFoV4s*YKw6PpX*dW z#cbvsn+r6zDFt@r8BkEzP^>OHh25e!om1!*D|C%N95AjuXvR z0=u}zMU911b%H;&vA(3Hiw1lkxR&8?G!_V_Q29%!poXGL<(UgKOYFrBngw2KzaLj< z2Kd14cW4Iq^@(43C{0yxX9Ghhwu>Nw4?GR@Bd>A^d6exj@*$JB}D10cI$n$53 zA490nY6>52XezWS1b$|G0SEYw&#g{wYAQHSntgVX56pbngGqHKtrLvWRPR%RU!&cJ zDZ$_i-ktnZ`6&%)x}?WF#t@!UF=^Zp>e#LN_y!(HU9 zxxEv1WR4;FF(@)xBMh0iksT)ntr)gJ+hP=C@G{`T`dw`aLlLT1WC`8a48AoPOk*q( zPLVN4InpRzlhsVFR+2e`Z?^5a;ED`Rqi^wTl8kW> zIsZ3gA+!tciY(-cP79kpb6r(n%94xj<_F#Ye%w3@kS%G3qPIpOV zFkaYo2{$HqEG@}kZu5$n-FzF&ZSFo~Mdo?;E1O+y*DdKgnS`(Avt__oDbLU6NGx+< zpA~akl^0e8nAarXgkRvJIlTMIK(MPy1{RLFVtAs#alKQ)(}mvW)Vq<{G0{_nN{O1R z!jaU!MiPzEE+7Ww(iK_x3>HF;)}5?K_ZN91xz8&-QK~D5sf|!GKd#Ln*}?b zB|%JzWQPfAGd+-X>l|1y>{yY-%7F4)7bZB5oeV#t6IJ7RF$bDr*M*o-hPQiE<8!4S zqv4eY-c@zEt62HCQ@*YS-3JprRmsjXsK|vX*?C*Jw;=n-jwu!>WvXi-#^^jnHd^6R z=Fq8Dj43AAN%(5&IoL<=)Sin?;nYjPOxR=Uh00*70e*jgi-}od!*$LyLIrltG^(P+ zrUe=O1pcrDUzf#L2od8x#h`g=t-tzVd@PhkfJf1qus}Gwshtu-?NnYx!@6YPw_!GA zo~C{SOwUaVOZA-UmH5UQLeqc&|;El+zTZM3yGOrXKJjQ;+(}{-$ zFzj~VIeMvSRAFI}(NsH&JK3mOke%^)4F&5Nw8{A7&JtF46Yl{(@hi{lY1wr6;~I`d zFQ*VOmwY?joR;w1j60~(iOcJgKhM8yvpVnm6`Z=YEfgxKZ;1`X4)b@R)EGqobAn+C zQ)A8&xSEt+**Ww;v9u)(hb7B1MA>+sU14iXnR#m`NSuOQzi$AxSdU6!|#qr#Sqap29LI(Wo(A-?P;M}Yy#D=Gs|Ope4c zsiSz1^{NHgG&x}Vhtibn@ySEj1^g?*?s&^;;&KT)_ojp5ui#%1c8UF*bQ$J!GPlO` zX;5HPa2oWIJ_(ox$_52z2nvMpvi6Dgcyz_NOQLD>5 zYetaowHj|Cf?tk&e87kZ7VGe3N_6;WPr9N)u)HN0>+{wwmb^F%P_iQ;xMQ<_V7x#( zbH>d~;KsIN43w4@AMGVk;dvqhz?Vc7-e=}MMkhMJ44^FSrni8*mKdhUN-VFcSW4uw z79Q}y%C5m$G@SaSZiaQxM9xJy3 z)?^6-7GhAXV5|ycRIzJGD2m;&E3j_OR6O7{z}46A8VkJ*4X-WJhlEoPv?~>&S&Zq8 z%xJf67M!LOLr^2mvya2%UXxLA*BDhRJTE|G4G-LfTfr-*riQ~lWcaUY79*>g6DpeZ zurBWGGW|9!0`6E4=XslZ#wZpu{idJxVw{=4uK(Cm!lz z3Og8eJOxUf2TZTjuIHV&oyP@-u58B!JYl2P!t5*Gj5e@+ft#c!UcbJ3l%YSkZy-La zG7;BZi%nzBJEnAtC7I{Wi}hM>J*mE?${0sw@r;#kKEH(b6=AN%YIyg~=XE0U8f$*eI|ugg&QI(P z#>9(OfwPU?M-2{K*C+7N8B7UdZY^mSa{9VK*ETsx1l7X`tc!>ShUrAirWHI@(A)xE znKKs7ij~|jMwtG|ZrWg(Fvph#88?)|mJEwg%t^O`*W5if-vk`$kB5z_n%K5%>aH4| zBQ=jlkmbajU3o`_wpRw+%U19LpvjtDtvs$Sf}I^&pNG$(NHX|inB+#1nXUn3@mLMQ zal3QCA0<5U24mRFNe8Qju|5Ouu>D#|b&!I&LF2X&if$(smLvvFEBRqME0IBZ0kJG+xb=9jEnvV1$cvXWw4nv)%(5`q&vX&6Cm`&@vgv{1o$XlXQjXiw2B z314YdhX0h{o;hxy`b1yFdSRaxz~Eql#*2w(X5+5xTR>{PN>4BrOoq@(Fl_Y_7GTZ_ z%>;V0V9=dx5%+5fZ!FxKG%QMswTnx?Wapt33Qr#dI}8MRFmApO)^&v;8WmY!CIhbD zYcei6VJaT*%xhs9&J37w1&6s=qlV`YDRHVOHSjLb6D%6eB#jK? zm({=oU~C|1r6k8+8*PH!P$M%ttKlp4Qqf4vy64qPVr+N_1G_u-40N|lOBHZc4% zotrfodntKcTjYU%O`A`KQ5LY8B=yaS7v#(W&XCZk;hEQDl7^!POr7z&+F)cJrEvW< zl}ToTQ|v15(R&4FFeZb}*Go;=tsCDGY+E(rjyai`ZgN8g4P@M+w(8pTxD6Rh za9)P9va37~R`|YwVCUOiixM{94ClVI*fvQvtebT!hE@?|628zjt)0F+7Yo&#z8XvN z1G|HnDK#rFqh$+*V1Q3G!_1V~PE|J7wW}G%qF}|m@iOg-45q4v!_N1N3lf!ZTh;IZ zighiPvFg5Pc0SMrNQ#}$RE}xK&cn60Q}NI{ys)%_Gb5+h@Q6h<77b@cQtBz$EaudN z;uFoXL+>zKXwHf(!*5Prl3iXSlSx@kR(PJ3w`7&s!A+KpcLpLFqhbf0Xt+#o*tJaQ z#cFnznIuxwaLT6f3htQBFL+fw_o~f=FRBkTaEvAkyy=;?WRW>cidC)P%5a+uUAHWMuU`oQb>%u>N|Q6^R#+ zBw1Hn8?vsTB$mb}f@&ob(qW-h&9sT{v|=XAStHgtq`OCTZm6;eCIq#rQBKLLPX>VQDL=P?U2|K1%q> zdA0N9+L>_Sg~5sQLoeYgUr~NLBLOpytHn1m$UgIyw8ZxnexFye!T3AJ=T9U)H|u#r zL-ehNpM2oLG6Y`szyyD`Zyld%V0vra1DRO6`1cow5_xZ z%Pc8vLhPWidDvX3JdT<)#tH5Lv;sV|QwKjT!L)GGMRKW zD0sV$>=$sjc5rqidoF8mEj7O9?MAENsl8L7`M^!*tAYx@@U?(Nz1)d3i+W3j%r5X5 z*O)avWE(R+D*TqSWzi3qd$2IzT}ph;F$V4r_`?R?`IL+*ycFXJUg#KyRbn~fafdc? z?L6^@l(_)wIZp!GDIzsl@v7zE(sn{6KC}|EIjI(2@aJ2YV49@j=N6uQk|J#DXfMuB zO|M)Ur%x^J)kS~UH;eL9Bc*F*aVOd_fN-yoqQ({)Nn@Pgp^@(3p?W&_aS2{)qRkvhh#ku-y$krvU? zXt-y#5wH26jZD&}@F7GtT8$raVrm$LpDOcSY5dFwBIouzY~UxK5`1L_F^ON=9Rzd1 zpPG1Hf_n`y_aEFLZwrJ|vKdPV)GF}94F0psfk`0+@K3!OJKBEYl2P8Tt!xm?Fw}cl4U&N{! zUo7RdzN|R~iwzXWT}&P}WlwF|T@!Nje#DHoN7kC3%IZR_I#oXKc~fV#aEW z6Fg?@9XzIH2R|;s>ls_F871&eHmcYt27ShMjCsat24lu9zVr1-18<6(mGVm~6SMdU z{ICWeOlo2VsH&LoWnyC`wl$18q?LC^w|tn8x&0(QrUnBq6+YZ*2zFBVJ~CfhR`{Ma zL(K}Gas0e9D?V1kJ3d^8lr{grX!5A>d5QG~Kk>7}a^^LDVYI;ve`>OS&59vE5dIjB z=Sx=z$F#}j8vg3}o@IS*+Ek4#rj5op!DHIo!DD`O@Z%D^o;LLoYk_yNQN>0v=+mZS z%+p3Q7}I9)ov%-t_C6gY{{E$~qxdG}1wOFp5BjEQ@93NfhL4{N_`?Q%^1&1_kpnFF zFr_@)2900&xSmt^?Jh!gazqsT4L3`RS&NCr-mVk1y>Xd&RzG#+!j?L!_{I`O|EMi0NXDT}ZpFG1cmIBQbLujVxt(GDt=&0Dt^JBPt4VKzCLMM2n$ra_))29mFsViq@s3xswT>hb;peLFuWQ`iwjfvF3b#4r3qvH$!Z-xAZW52&SWJW1O1!_3D6X6;pg}~8zT37LHZ^tQ}8s#6_yZzg^Ai3MO zrD%L`XU}Maad_EEGt(?xrF;Ny1?K~JvBi*_)xY1+?|bxY)_GZTg>?3SCZ0$0nQ{1g z$<*!}MnxZ+|nD4$J@f)gSl*aDDY}_SGM(dG)XDUa&QF`k6F2sLt8+jut1^dj5TwxonME}>BZm>V> zns82H7A8KV$F~EHLJCm>^Vx-ZflqASrJ{Qyuz7czUW~x5%oPgVDZp@gU=xKRxiB`B zC*=yiC2N}SKds?P&paJ?+BTU)H1j4DpSG_1y_yXmtV{2X@RHsg9 z-`m%s(agTmeApliow6$3fBn3Gy>J?#NY}c$4vC&TKY?YFZ=M*whz^MxuoC0#iDS-In~=)E)_b1yknSG zfXHP2ww$Zq6(A536G%Pxx)qRnV#*V_Esp+8att7zSom1&VO4k-@K8Nfk`%sZ$xZc% z8dPB3r1LemIVOwR=m(yyzhSk#;q5i@kA;x-NNCAI{zf+#R=dv%+d znx`GIB#L~KC8kYH39e_o`mTdBucjH?!XcyXyf%9@?7|t7E2@fLgqd(5BT4@ai z-t-{)umn#gyl31f+E$IM$OS&qVm7S(l5a_EQ$XNC6}DS|0?H$TD52Jv z!ukYb))lg91s_=nE+}j!{;KLrtZOmV3e3E{Nqq}n&t^2f#15D)IXa0QDS6&W>~>HQ zG&bad8>b!oum*SS#VhnM*gE)8fYFV)`c({JLo31Xbm&Ao_iw2Ec+cEs$##HGwu|7* zhQ_-mc4qs~3+Vn>`N>S%$;%_++bW-1brS3#)V%sWz)ww@$E@hGZ*5C^b8P+S@^jAc zh?l7hi~pwZAzEAENhH=1WYmCHy;%g0k23&WQp z%fP$dPCef3!|yKj(m{0AD~PWB46ejBs$Ql<1&7)?_)&oQnu(9A*s+Ed+FQCEZTj4i z_Ne#qE=AIdaeqH|AI=O(_wN|;+`%J1QogKD%S_+FOqZHkekbPZH||J%zrx1M3*IL4pB#aN%;{iUfc}tNxa)4i-_%$)~utHY9)Ba(O$e@GCmM z+9>h)#1EX{s^Bmpc;0ZqpBnt?#{T`31P9!+B871F^Ocm9iJrJ#J!1y}o3E2`N_Xs5 ze|!U5!$iK+eldaMwpoeN${biz=}BY_L-~vqRQaT`CNjqOD(-L>pewyq?3ikv`Eu8d z;6tqK)dorC`9KO*unidpD1@w90lT$bZ*%OuQ*A<1CMS-?}SH$Gk2!A&#N7whVoMJ~9i*hPj6CJl#YfCW{5CDu}g z=U&xdR+T!)n8%D+*af?`9B?B+uw&RXQ+ID#?JfK-KNWW}rhqIt?Z`aCKCP~eDQZ&L z);6?_Ad~Qw7E1UEn1o{E8D1;agzUQ(I$uHV*e96R7Fy?Y@KJAuA<1W*F5a0&LRU^X z^VO$2FDfT2HVbf~W>8>gAKP|lMb&(ix8*Co*X@U?g?4eDP?AB+3ZFleO@3Gx(+yve zF`AIc%kG`{_%iG>33P8#@_fwt!p1zoy7wqc9a9CkRf_1QH~HQk?d}urND|jdB34`% z@BF*FGPgGKS<8?{YfrD3lQzUrPv>@G_oKeUAT2f5sU}8U9yhw0sy5N_y3FX@M+xV` z<(6J~!*jIp!oWLroQ@JcNamFAz)37+hWAASvdPRqqoKZ(^I5W{9Q0oeu#=Cqs(|RgJ?^L0f1e+OFM7@K%xW@l59WTDPv<1T@7fGJLDG zMo!{UTWD__s(A@lhHpTrdC3RD1H;$8OP(o9hV}hL( zCvGA7c~tR9X|y@FL{3==0|YX}>ULz6&jlN!$f(#uHk;4nQf;`AEXaI|0h}g=AcLC? zXHb(dhiS92)?{=cnNCiUG3Nodgm+}zIGHE+!v@}0{`0-4_3XV?ctIxNtChd-<%2N! zAIzqf#mdiYQFX%ZU|zYb3d~&h%m609Ir5s40vF2k%)9TsFrCueKr}e^9%RD%=moFX z_7!7PyejW4n;kC;C!k%O6;v2MW{b#ztPhqd9==Ve40O5R=StSH?a}IEzB3c+8%%q? zQ}3B_xLzw6R6NGO4ZLe5b8vr{kVZDt!DQs)(VOq{%x+kXYG??}d{XQJg9XZ#9p4Yl zMYDqkwyY*G89X<8MK#&N8V_Yx4Fs?nEf?@z3KKyovWIo?SZA@Wn|ZVzB|JdiSe`jI zvvq0TRG*o%dLUmz1CKDFpH*vX%2bY45?>AMn=vs;b4#~kcE&`ZzfXO1;$16kY372v z^Ph}~(OOuQe6a9&V`6YSv1enVc-ZQ8s_AY_PzasYaTC1HrnNBv_l%pldLlW#(UgvJ zklSd(Gi2b;M)LV$m#JF$@ICb0tcW{1&&>%&eXM29JH{_$P397}yS8Lw!4+f@zFLSY z-vO!H^jCew&8ZpOCwAWmWVYNACMNI;b9Y&?;r*Jcw1WfIj0L!GBT#{>u`RGc)Xasr zZJ{n}X7>6zm0m|A+)t{4>RLflYAFmP8AKp3$KoJkZccOU4z?Ewy==MV(>`$96gzZq z=H;Sw+qu`9?NmG*z061j+4w=m`1`h?2r{U!%IEerWYCN#h>EPhq4Q1-?X|4I-!4<} za1-IRwG+E#ZQSkS%UrUn_~;B@S61v=(hs-$X1-Qrn5a*(!`vuN_XTEAW#*?HJB&(d zTLpqFqcfQ2XWbXf23AZ~l8e~|Q^V*!g0a#93^%P{ii0#250&Eirk;jFIUH;Ay&BkN zhU?{~noBnbG6`Sk3_dE5kM}yB(-~)Gn2z1fPUEoY2l!|YlZErJN`Q}qVv5O;PfTH> z$DPq&Uhpala88biKn1wHVL@kC!kJd3TGbZX)E+`E^}J;$!kmQu|zx#tM5Cq@nRz^YaMO7~liD2WbrO>k}VR1>sR_ z;9>=)ClX*dx6ql;K7xIFT!e=V5})td^BqiypJ=9gEAe@W-Nm^%PYr%`ZtoRFOV*IW z$xtC2y$?M%`iYl((FxCJH(*D;DC92e)-L$g#LN@;=>YR37>|Sh}m^ z1ur~US0yh#_RQR5cV6Kng5_O(n2I~x@?rC!;Vve2gscS>V?s|~a&NNb@?x_3e%`g= zi}#8hw-%V`aouX>P2l;kBy&uu5IM&NS%Dc;I~n6f%v9XTESv}o-KO!5kJd0bswAUi zT57y?BSU-D%PBJMOjKSeS=R=27Q3J!A~-}kTa+o0w?xaF}|5Qv={iOmn(as67IY` zebwGt-uVtwX$MEXbC@Ns%-~S=)Qy)LGsV|fN|jW$ZK~v{34Hb7c*46)7`~@y)c3SI z@yzce+4<1YU~j&N=RI|JFHo}Iz$RfjnJ6YRtbWxG<`MFeN|BY`he1lN;6rE){ znwv&C-rD2CLxPN#=doP-Eg1vVoKFwl%XR%Fi6nXjA1Gs|j?^Gtf!z)yCJjA|C) zav(3&BgiCtrIPqMtGUHHEmRVNd3co7vAgbpKgJW=!Gvi;PCus}=L_CRB07x>z`qj> ztzbemZE?R-Sq3j~6Z|5>v_1EmsASq>h(?j|CaMwg(7k75x zmD{Q;*+C-t?$p)W%$z%P6SL*=DwZUR%ty~FmN&A|RS807tXE{vkco%KgX|`J+{|e^ zdb071xrR_&@P`e&Yfj#m%4OHJa1|LvEUR(GP|S;D$EynP8{$STc+|pY3KctERWMO? zg5xUAWPR(_IX;A$lIjFzZ_KVL@pJ7RMl0oLv@UW(&nLw$F-NixV#?Bg1k!8JALD^fYB0Sl|md>p`Z@ZCN%Y z8DDhg1Jvum^t=?|lWP2>odr7yUukW4@O(^5Y3)W?Ppw^HrL@mEvAdrXXeX7438Mfn zKdH9&AS4w88Q)3&=|*)%b^X@la(U6gRVblyKN_eiN5MycUq<2i|#F#*$o& zv6J9I*5K3(UC9T4itf$SE>@=<8FgjmuAXS`1@Gy@shGm7{N8`X zFl6*H7pfDx8-`4@$jz+5gwJkvs~JnLZJz9%DCgMnh_8u?fg$WlRbsshF^lugOhh4z|MO&xTs^R6P7yxSq|!6tz99i-!heLYJVr z*0yVkwC*}Po{LO+vobbZQSoJgW`QoLVq#`Z-Smjwt7W1RmL#J=xyp;CC+1d3QzITW z@Zq|f<3M0N9+}>+PpTT;Gp$-AY=sqGZP~EnrMDK8B*>VIAhwliDN5YMH_0ej!i2+k z#GNoXPHC@2u!R7*g$zEdi-)pz(J)9!vcrmgY;UZ_m+wXLj<%vAO|!$6RJ?P|_iG2$ zqlAY@k7u_MWNKJr2i|2iWaYe2QiG=OvpXM>at8OwPIK#e6`fV9i|2Mm2F`fD8UZw zeuBdDgE%qa(q+3r(b6)|yuK4LZ#a*}*F=TZYs)xx5D{W3(ngYoc;w@exF}?Fr;8zVC8zctvjhz_G^!vwUKA?-tGo z+xAsD*~13j@gan@=+?oQ=gUb~HRwgGO2dvQ*;w5ZmanXoFn0xWS>&-NC5ned0MCa{ zO)7S&&~e@Ltc}o~F&ae{Q462x+>ya=YsV3yj}-heAzIL`tOmYsZO5e7+_3371mGDb zU!0WepukhE8eXD3JTd`ibT=b-W%U)#2vgGBtM9&(Djuc<|EEuNXUCYo$Y<}@g5}z6 zPVU19vi6W{F*`EPv7PisU!O1dvlA6I2CNM3XULh#TZ9br+zhhg0nL$W@ZR3QtYRkZ z$RaO|d8gWY!Jlt$gdKQffE(?7=p{ZeX^L!6OuXJ4#FQD^Z1A+42|M$A`&wWHq(8cSQyt1>+DmWX<*CQ!9eZ^R-f!-Igp@CS;K!$`LmVvXbyC zz23bV316&V(D!g+@^d*IxPH-NHW&733nchjX=2iS#L8?a3S5{F!z(7G#&(n_uz3gv zM^vH1!vmwJ@%x)n62HGGCGlfyrjNpp`FIFY;`hiTiJzFP$vTD4uqS5Om-r0PHBsY3 z$wE3cKDAFY3ZE*}d5zB#Wf(^qpLan8JQ#od%=9HXU&^8L z)zJ?)=5^uos}ua`fVXI?lqdF%&rfu+g!M3%tjM@+2VZqZ2EU4lvK3j)?d`;wte#F2 zi<$KV{o)iI%_hDoyQ{CgLKU4;pKaj<7hacB93hmJuR%(V51aCfBh*87c?TbmBVV}(45EcYXgZY~xdy(2b2Pib^hi5m`;$hfVq5$n2rT=t&J-$LNpg8~7%WPlJ#luX)kkbQ&ONW=lBKTPJ+j6+9hk zOciv4=B5&{uzM)nuc<`KtAZE$&~30@8FV1w87oLLY&*Q`ykZy%dsXWh{%VKL<64}u zBEtlSR-mk{>DmE^oyrHHYrD%;5k73n2gi0v*vG5jQ5Eq1RbD=keJEnXXZ_4TJe-cB zhyh#KU#$u>q~ahA@P|V6`g20$u$3)gjO}r9O~|tYS0}=2zwuE1Op+TX!iQbKQ2sVE zt-^Lla^eNG#aJ?@7~i7X5mx4W-1-6e0fnb^Q8evNSQZ&Zt9)Tn-<4uG$BtrnI?Tl*fI!B<(JOIFnTWB z8^WOoC7~=>YRD95QMqUKEQwA(h+7ODz1P7|JlJOwo06; z8q6reEE`ufXsjFSRpoJ%)2-vPVb&_TIwqrG=4BcxiV%KH%cr`okax~2ACy&u%mN2X zbV~?z%n&HmBf4NHTFVU9RafOP)%Zl)z3(r=5F*^UMH^wXF%WS#XuK0s+}tad{En(!fK5sN3+?ZIs?3IhKK$M)b>Koe4 z+!}Rv@tRvp-Z@PbM!Q_9qHxEiD8iO(ib=FKP4V13Hc5{xj0>#y*=z~>ZCUvZ*Nm4O zWx-MvvezNJ4aMp1a?Z(>xRqJR+;n1gNaf+#6noXd6%`&e2NdQ{po)WvZ(1=w^_$JB3$quTsLV z2gz7k4b4}(V~S6#%$s|0?FF>6P0gy6wpkfe;~S2!3%NI_2|brzI?EeEc;NVcubV<` z4yo20OJx{z*mA54AG@bXbGH9jy@q7K5!BsV5&j+G%(Ru3sRa@)Hfn>I2qyXA9}9ItsJ zIm&`-@tUR-dOU>s{N`sJ4|8<%UI!0&%><__11-?omLhXBXfi(bnf7F*UCq&CCE{=H zqD*Aw>U40(e9TwTF)w2*)~os+Hs#aI-*F z=k;Q_xgp}?c_JL5(;v@l*(Evs@eiBwOXo1lSXyulnQv3siz7PMq)RU{Q%PIhB_Tcb zFmXHx;~-45l+0A)!>*unOpMhv+mVGmVS`^0W+sn+hOiXoVUC)x(l`rdCS<jox7{iw`?&pVJ~QR74m{(zX!YHIMk~olm#ojivg?w+@IY)sKaUK=tHs6 zh^-4aMw~(31Kt%bya^uPUDaafF42HpXy{Q%vK%8%4t8YFo1V*{YKG-wX*^h!40*Kz z=3(A)WO4~Nm0tx+&S0|U2w6j!+j3-3K+KD#FqbCNMBWK6izl`hvWg~zqs+a^ZH=kI zmM&g@LvCqJz2-^yYQv_= z1^$}x=g}MHLhqIHej%esB%CSLX_X9k*CxzFd#g5AR|Xjt$`FcXXBh?-=X!=RY40Lb z!SHfDS}xgIHOI)5#kp#ZTwHi>Z_`Ak%4v_xDvpJZ#^tOzRz_P!*+zHGP@er&P3T%^ zAUyBQ$ML2nLvb}BJV|Ci-_{tI&dMwZc|wWr*b*|mgrCZb2~?kv-i!%%7W#5Vg3+r!&esVu?U~&*CGsg z4P{~j`{HUex+uq~cz8X0RTDnwoy>N!%8a3@Dl*u)Fy5$%*VQo$*O#e$S}{#~5>Ih# zx9F4Ka%|ab+=3(gJQ03?iBOQhXyX05Y?`>TAbWN#O`9j@&y>(QSL% zF->8!(j+0)zs!J$Eg^J3TJ#!IyCudG@4g|@W==(a1D_$~i}i{l^SsgB-8BUY)A7X| zMaYD;e8y!%$h5jXP36~w^X;&4_YIztre@u1?NxI6$-5do-_lM-ef%{cB}ZAXoT-84 zXq*shO9xd^^T{yi6}~{=xk`z7W=Wdq(_fe~OrMuJ@3} zm`;gm3+3dk-K*W7HU*$#gn72T3Ga6tp6T1OZRdlrORU}#n*27l&y306Ps+AmGV1#9 zd}FsCxh-JVygvVa28js&{OS*$87p7?n|t*KYhL~93xqE4Eokpwt_|QR@I0+<2t0hI z?52y2r;Ml${*Ofb_qNgTwT#;fvCmD>j%}V-u>U@$8|)9eCQMTrfRNkWtyb8jD8ZEQ z^#Y&RFn&{r3Y*&wE!E;38%7!*M37)>n58uo$;Gy3{hY?PP|a?_|FniHopVk|1_zaN zePes27E*21j8zB=wcc@_(dxaOUmM$nW?ACM1!^?2uRb3(2sgDNOZQ(tFKSY&bYiJ@ zck=z!-up*RfGz;M)>$sWYN?aqOpcCI2)8NX4PzjfOyMq<&FJ(@xOSIgo`gC^t4Vy> zho826xLi9G{SN-zs&J~evs@~4gP9V;yaL2(T5g1cm%0XjDOH6wl56_&@6EkXyl3yWz+p*8r=9>hd+vvr3-jwQ?XLn9XA#eQ|&pU9_ z*f6x(&X*vdBl*PbH|_pjn@lV8p@bHNO;Y}bDrAdHi};@Gk7y#3IWhH}RSi0^$K*y~ zqT9uUMQ7pJD~UN=m@r_}0K@e-cBKe<#u<1?1R<|2!{OB|zS6>JzAA;L%kjFa;S3`K5XDmC!EQ_)WG+?;8m}Zt&<<+9Fy!- zHBt-;GfvAF-=<;8`CT=k@(o7yv5>kJb+;pfDDg6YB1_pEIRn;Ye38Hx-4|HW_&~9m z1P|-t!4C42(j=Xa5)Qe*u(ixTe7Fwkw=ISzeQ7sb+`v2aGD})U;;GkoNjr?OZb@%T zRo_u+seCDYL&hNGmS0$qVGNSH)n=-5T?cs6p7}{qvNZf$6PViDI6YlXb`09hRSh{$ zZEG~UA*TXyM-IF@na9-Q!-E^LD>>brOu|Pdg6Gx~zMjL0ek>ym#VRnPv6+FSgO3F-Gq(Uu!8>+NFtwP7LSUD4m-fJ~_O) z^pKO6SMoQu>FGenA1sHAH|Y4WLY3sy8?6y0Z!^&_3$gGxrZ@Y2FJSaF4~Kg}r|`^5 z%JVWw!DN^W03QXPHU)2vHx92Ezva;DjPN@uPibYHaK-qvyr$s$2mxZM3V0pB!$ef9 z_|Ofnk4p+iF=u?bq-cqDOAeaC@`|2`1#|{@BjGrx8Gm=0VV(EFQ31>{pq_O-@SSD pUw--R=Pz$;M(_W@rB?D!pTGa~@z*cE{q*M5{}1MjTnwEv0RS(VY&8G? literal 0 HcmV?d00001 diff --git a/mill1825/report/ising.tex b/mill1825/report/ising.tex new file mode 100644 index 0000000..3678a45 --- /dev/null +++ b/mill1825/report/ising.tex @@ -0,0 +1,109 @@ +\documentclass[12pt,oneside,a4paper]{article} + +\pdfminorversion 4 + +\usepackage[margin=1in]{geometry} +\usepackage[toc,page]{appendix} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{graphicx, wrapfig} +\usepackage{color} +\usepackage{float} +\usepackage{tabularx,colortbl} + +\usepackage{amsthm} + +\usepackage[font=footnotesize]{caption} +\usepackage{subcaption} + +\usepackage{fancyhdr} +\pagestyle{fancy} +\lhead{PHY 905 Project 1} +\rhead{Nicholas Miller} + +% ------------------------------------------------- + +\renewcommand{\arraystretch}{1.25} +\renewcommand{\baselinestretch}{1.0} + +\begin{document} + +\section{Theory} + +\subsection{Ising Model} + +The Ising model is a theoretical approximation of ferromagnetism. It consists of discrete variables which, in our case, represent atomic spins in a two dimensional lattice. These spin variables can take two values, shown in Eqn. (\ref{eq:spins}). +\begin{equation} +s_i = +\left\{ + \begin{array}{ll} + +1, & \text{(spin up)} \\ + -1, & \text{(spin down)} + \end{array} +\right. +\label{eq:spins} +\end{equation} +Since the force between two atoms falls off as $r^{-3}$, the Hamiltonian is written as +\begin{equation} +E = -J\sum\limits_{\langle ij\rangle} s_i s_j - H\sum\limits_i s_i +\end{equation} +where $J=1$ is the interaction strength, $H$ is the magnetic field strength, and $\langle ij\rangle$ denotes summation over nearest neighbors. For the rest of this report, the magnetic field strength will be $H=0$. + +At sufficiently low temperatures, the collection of atoms are permanently magnetized which is called ferromagnetic. At sufficiently high temperatures, the atoms have zero magnetization and the temperature at which the phase transition between these two states is called the Curie Temperature $T_c$. + +\subsection{Monte Carlo and the Metropolis Algorithm} + +The magnetization of a collection of atomic spins are numerically calculated using the Monte Carlo method. This involves choosing a random a subset of atom spins and averaging samples to compute observables. For magnetization, the average value is given by Eqn. (\ref{eq:mag_avg}). +\begin{equation} +\langle M \rangle = \frac{\sum\limits_c M \exp\left(-E/kT\right)}{\sum\limits_c \exp\left(-E/kT\right)} +\label{eq:mag_avg} +\end{equation} +where the summation is over the total number of configurations $c = 2^{N_s}$ with $N_s$ independent spins. For a reasonably small model of $N_s = 484$ (22 lattice points), the number of configurations exceeds the number of atoms in the universe, and most certainly exceeds the memory of the most powerful modern computer. It is for this reason that the Metropolis Algorithm was invented -- to make possible the stochastic computation of the Ising model. + +The Metropolis Algorithm is run for $N_xN_s$ iterations where $N_x$ is an integer: +\begin{itemize} +\item Given a specific configuration, flip a random spin $s_i\rightarrow -s_i$ +\item Compute the change in energy $\Delta E$ + \begin{enumerate} + \item Compute $w = \exp\left(-\Delta E / kT\right)$ + \item If $w \geq 1 (\Delta E \leq 0)$, accept flip + \item else if $w > \left(\text{random number} \in \left[0,1\right]\right)$, accept flip + \item else, reject flip + \end{enumerate} +\end{itemize} +The main observable of the Ising model is the magnetization $M$ given by Eqn. (\ref{eq:magnetization}) which is averaged over the entire set of $N_x N_s$ configurations. +\begin{equation} +M = \sum\limits_i s_i +\label{eq:magnetization} +\end{equation} + +\section{Some Coding Tricks} + +\subsection{Precomputing Boltzmann Factors} + + + +Computing the change in energy $\Delta E$ can be costly, but one way to ease the computational burden is by noticing that it only takes ten different values. Consider the sum of nearest neighbor spins $\sum\limits_{i,nn}s_i$. This summation can only be $\sum\limits_{i,nn}s_i \in \lbrace-4, -2, 0, 2, 4\rbrace$ and multiplying by the $j^\text{th}$ lattice point's spin $s_j$ gives two sets of spins $\sum\limits_{i,nn}s_i$ which are equal and opposite in sign. Therefore the set of ten Boltzmann factors can be precomputed for a given temperature and accessed from memory during the Metropolis loop. + +\subsection{Periodic Boundary Conditions} + +To implement periodic boundary conditions, the edges of the two-dimensional lattice must be connected. For instance, if the energy is computed at the $(i,j) = (1,1)$ site (top left corner), then the $(i-1, j)$ location must be mapped to $(N_i, j)$. This can be accomplished with the modulo function in Python. Given a $N_i \times N_j$ Python array (index starts at 0 in Python), the $(i-1, j)$ location is called as $( (i-1)\%N_i, j)$. When $i \in \left[1, N_i\right]$, $(i-1)\%N_i = i-1$. When $i=0$, however, $(i-1)\%N_i = N_i$ and the end lattice points are mapped together. The same is done for all edges of the lattice. + +\begin{figure}[!h] + \centering + \includegraphics[width=0.8\textwidth]{../results/magnetization_10x10_10k.pdf} + \caption{Magnetization over temperature of a $10\times10$ periodic lattice with a $N_x=10,000$ scale to the number of Metropolis iterations.} + \label{fig:mag10x10} +\end{figure} + +\section{Results} + +For all results, Boltzmann's constant $k_B$ was set to unity. The magnetization of a $10\times10$ periodic lattice with $N_x = 10,000$ is shown in Figure \ref{fig:mag10x10}. In the range of the phase transition ($2 \leq T \leq 2.5$) the average magnetization oscillates rapidly, but the expected behavior of the magnetization is within the error bars given by the standard deviation. + +Figure \ref{fig:mag50x50} displays three configurations at different temperatures. Each configuration is the final after $N_x N_s$ Metropolis steps. The lattice was $50\times50$ in size, and each lattice point is represented by either a black pixel (spin up) or a white pixel (spin down). The lowest temperature configuration displays almost fully spin up, the middle temperature (near the Curie temperature) shows some collections of spins, and the high temperature displays almost fully random spins. This matches what is expected from the Ising model. +\begin{figure}[!h] + \centering + \includegraphics[width=\textwidth]{../results/50x50.pdf} + \caption{Final configuration for three different temperatures.} + \label{fig:mag50x50} +\end{figure} +\end{document} diff --git a/mill1825/results/50x50.pdf b/mill1825/results/50x50.pdf new file mode 100644 index 0000000000000000000000000000000000000000..8950a21ef79c6213a2dd33bfc7c3559739d5c349 GIT binary patch literal 30233 zcmdqJ2|U#O`Zq2qOF|?`N)bg_Lzc*{Lbfr)kgQq8I`$=7QV}7>8nVqWlk8&)5o0e* z_AT33vt;M_Ox@>x&biMy&-44gp7XoU`Tf0m8S|O%e7@IpeXiyGzOL`9OPY$x*M#^* zX)YBnV0LIkI0QKy9@@}IOLGXQS-`DatvRlPC2blG4h{k3M|Q3j&fwL~)YU@K!pyLgy!qlF|BMD)2_dS;ceDKqi6>>cFesdMSAYZ=4Bh+jIU$b)m%w}N4Ve@XZ zcAUY0%Q6!ORUik|lq_~9_O5paw0en9^YviZqK)8x@M&(u_`q{-m7MuNQ`2N)r_n!i z>iVaa1c*X;m5eO5W^ZS2`_n_cXqh0{lvJTp z;|dRsUi*YPV$!^6y*r5WAon%SueS1oY26>*&~Aw}zE)$)*406I!@+vAny2%u zNTOgF0uB*}C`4%zJ#Vl6}REsyXulCyO`e)Pj}gkWi0t zvK8-BOpfnw=bxOFzsm+|JJVT7Xt@&?mT#KGl#~Bn%R(iUz)WEq{b`P)snM!WvlzL< z5H$8Mkmmz*e!{chd?<`*^hVW%%zZdwJ}P1(-tej(;{L(VlZl3wZtjdS1@BW#GW-xu`j6k25r^LIdZ}8E>)Yi z=f@{N5SCqEZ?K~K!J*V3-E;7A_{l6-i;1@ zMdJzktf}4vf0uaNI~)15<}T0aB9EaW4Te|O%~KBvi&oIto&AR0eB)L4h{f#DDU^DtEK??B zvG6ryKT%Ddde!3eF&UYv6Y)i{rSA_Lz84bsXc7shGxv9SKKnU8d{Im^;6q&78D(?c zSBs~vBDY&hP8ci}ZGLV}Wtgp0FukBTkiet~0)vA#{ArY?b_l0;|lJo0R z?!jOuopLeP;b4KF82%sYyELvYF{vK}WxBCa@ovoxuXgNJWib+V{xi$Qivf?2jV8Qf zLu75#MK4$tdQQB3P{I}>I_@=!vqM-14w8`~YbK2r-O1;S{5x3MI zDk!WA#VNnaB>%d7JYTnTMc0=j#wr2EW>{QpOqdta)^q2wm!$G*n-18zfPUNIOgMT~ zcjiTIe5cS=36BPo$MJgZ>^x1bs$+EVK7{1MwcLH9B6yAP6oz1pD|5~f|q9+E0FV%m?1eIG>6aVjSck~lj=|91Rr zjv>qaHJdENIlorX`AJ8qG3)t)(_XaKHJwXW9#A!Fn#={juU-gE`c!hvi5JZ#%Fn@( zK*4rArd{wgTcagHKsG|+`t|ZLc3La$$b1^TkRy)nXBt;4@^?+E`Zc6yTTKZ&TjXg! zPEveWr@Y>rJ8?{dE1AK;`$1h1)%|t0#Vx8j7V4KrS(d|Z|DYpZTw*8h3!9>(b64c! z*~i+hzBxQ(=5z7mQ$Hmq?*0jM(YK0)fSBY_uqNHeQ^%U>?)b)EfT~^Nx~%2|pP%zV z{ifZWyJ^rzg)e$+6zBr$sOYIe$b$*R3!c1!PT@PO?HyMHcJh$phnH|;)3+lzDdg*^ zl_<=pdYz7H9Pu`xTr)t_l^7;+)F1KaD16;1dv((IKF8Z)YLn16i09`V&ONZchMCc1 zATKi{4WY0#zqWxBC$g|r{sKK!S$#! zvaHiH)yEr-671qaDF>}{?Of&JKgT~&&=0G3mUp!7bt%$ln>eSHwm5OU7lLwol_yF3 zY8FbX=m)u+*2BLxRTlOi{ij5_DiEGlC6Rm zXwJFUcVEaK)(a6fQ>XR4M^Sevx;FntLfqFDGcBbpMkyLaxIQc&tNuvxl=76+AeaO-Jqy1dKWGj9Ro3zs{|>RM@^imrv`eq+n3j(8+wR4)Dd<1f#hjJdd;k*Idbecu8aaZRLWfR-RqX) z_G9~49zGQ*?!CSCo`Tp%g2MT+_gHyXo^DGA_g7C61^41b1KAqMT5omVDTu$<*yLe* zk~5-$P8J(Eo^e(SI~TyZa9f+~fuq%C%B=g1@d0#9Cku@4v16yv=Tk1#)B`K+1@Bg_ z9kH%{@fw}w7|8S)hDeSyQaBwG55LgX^zz(tZiSZVW!`tEJ?N>*+s27A!J{R@GO?%M zzU2xfR}s-;yyg)DJt{z}Cn+a$uO<8_K~(zAV8T1U^y||5w4zN&I(aRhAEoRc#bTqZ zH^xw-(sV|4l3CKDQDxMlomP9-8bvKzC&ufzD<2EaRdAC9e(OQgn7up_s84^Nmh3Px zI+n7se2SuQ&djOUV;z}eS2iR`rRSl|lI&RfGC%@Zs$110d~v(ib2NXv6+fwb%YUWy zetg#Qk=2uBp?$~e-jtnoD&?$@oO;Ds$8quu=f^4YvMijf)srxP1@)jC6oZ;d19JgA z?osUrf%g5@o^-tT2QJx4uv(boa!)e6(S6G6^9D{+zTxy4MdHpKw6kF_$WJ5vbIF>KHw#_g1%=|ACaZTnZ&IDUn%3UZ zS}bSW-gfsmY>8q_m`3fAAmZ@i52jh%n%swGTlcs!&uF&BxL2v1aU(;w@aOBa8C_`d|?a@Ab&x{vTi5E` z&2}ev`zB5&#H0!^5NTOu zESwefoqzCtJe>Y>6YA5|eL>+w)sIUj^jd_XEWUHImxr(}YUL`yE80(I_CDnn5HUMc zP+VS_9Oz)`jy4cq?Z5f;=FrQpYIg`0l~j$I8HoXNC)fs_cncg4T#$%gBu8ue2iy&< zy0|WP;Fr-x6BLKK@%gLdh@gn|mPD}pbMHeULFtb91qa6Ds2%grP!&(@)yI`b+Zv!^ zm(Ti7><27zDpqnO@4gUW9=y4BGWghMbNxKw`LeMS)lBfk^VY_$rc|~ei$Z+_nJ|R} z3+Dn(yC203bJP&}r;!bZg+Hkkw(&`6RY&+;hfiHxPFQAm2LH$`je9&6mtYd6&-6y+ zVVdlD#%GJ`<>t29mD9J*9>*q6t`nB-*n17bVFy;IfLTuln$mUcIR3(8%!dTCPco>* zf4MgTZBS5n+DPYe8OC5_XLnY9!1t5o`|&%i-Rs68T(L?^yc;>8e3RJpvvvjWtW>+=kKo#$_0*|`_3{qp&QFr8guM)?X}Ci zKJvjLgeSdn8@i_jRH$;E3`{(&)rUlA2OB+RusQxb@Xg^szJc`JJ7rIoyofwct_@b~ zMSl2DX~Pmolk&1mb5N}0qFl_T~qgRn=>bUZGQAQ$-r|33N|#}hdu zt*WV;JeG-x9f+}Dnr!-1Z5v#XL;mdiY~yU5n#V3xsoi7ga(dQJkB8MFmsmbQ=uWUiIsRa>|Dq-0ZG@wo7z|s$~ z)O=|S=&^iV8z3d`%fMgwph{jp@kRWCxS3+~`jE_C8S#M|^=F>=@Krt;DmHcog_lux z50j6-CtybXKBRA9CHtycXFFKGxD$ma`@Z&~obu3y>Epo=`j2!mob>0;Pgmpk zXir{b8(ey~)*G_!Ovq$DWy`J_`}Xr_&qo&hDNeRmBgv!)xcp$SuNTk1H?IVmy|Vo5Jl@7TJd;sX|S7B4VdPw%pl~@OUGS7_u*$LSTR>V&=T~#v6Q;Vec-hvgAE@bZBHekwyHr=VkglqYd>k7;BVRtra(>Li*v5 zsWc3Mh1FVm&GzFd-d#9rFSHa~pO+dHA97cs{oL2`+W|t9Oj!nfQ14ftOU~d1FNo(j zh|n5zHlHpMR^@rZ^!_B{LAA?QR`*&0uQ>w@|A8*E4<`7dY%ipcCQ^PZw(WP3POEtaP2<1sfcjnT-DMHrl@ zeUb%bRZ)yo4)b|M-@;mwcA!Vlok^G#H=EeAe#CU@$P)*xk)q_Fdp4`XOMG<>zR-7R zt<9gpyXqcvecm~W2t7|h;oCcyPk;Yr=QJC}Wwv=l`I;muA*vygkIIPeu6M7q#qc}Z zZ#9e<$|rB8wA&#!&ScqBUBiDJ|1scddu2FW@`Y+ZXG|$NSJF|N@&OKe6Bm!m4AqD) z_foFFJ@mY@?RyK^VylB|EKSgRUWTS(=s4ai%hfBN>hJtiJnqSwxA1bg`5O6*sp9C} z;Kxs;hF&obJx}EEexb&~@-+xKN(-0f)DN~T zzp3Ws`lp`GqONH?SHNTOhl{a?dKIBB9VAX{-qNUBgL*v8)hl=N*$rJcFlHOOji-4^ z3^$#H4I^56Gtz7)FqFsG=Jby|Ewse6-?zGWti8#rc820DcfA|=YF=($A!WBz2xY)a z#f+Ljd!yFwd4}T9_GTr4$k5LT8Tl#x7pz>B>@C!;3@qP`X{cSJ<(yN}vJ&|>#^Z~1JXQ~^X;%8S)+)!{vZ)NrvkYXZ8MxuaTmtqhQEu|k5(AqMlvT4UYT(4;%@D4lZbZMSQ`gRR zrG>r~M|f@FJY+DYD0z0`H0RC0BP*U9E?4b&$b?r;v`tSnRK!tWVWvtE5+3zJo;~$m z6#G@zZyxov*B|^QOBKl>Own@qTlmML^b-8@nRdriqL0xz^>!OQKdpWFe%k4D8~44= zfQd65FU|)Gr7&zE<`*!2s-p@MOId_GC&)Hj4^wGi#wi%jEwAA0yT{J$f9DiMwS|b& z(iG(>|99NJ@~73CjrYyy%GP9#W0ZBI-6<)zDT797l~x}U_wnCPk7D^emUZS?)0rMp zjhH6w{$MDmHPd-IMJYUq-Z{l8ePfKai`x5XS8c$4EyoRoF6lS)UEj}#S~Ic9LOXM% zH>((Ug1f#_l(MS3Ghh;T(*jtZJ?B{vWyH*x+kP_QG_m{erAnYV`-5`o=ASPII-_w@~bV@Ebl(zcq0LwyrJ-^ADNPp4AVpO0GNmiwA) zUiDcPBK&3R{L@6!FX0`1HxpB6j9$`6Q=iYt*FE&^$$7qVLUfvxA9o!m#NVlXHXhA5 zHRxaet*F2GgxB{Up~_iOO}2Jx)ZdFfY)eoqz8)Ik5Z!yN`XwVYE4v^cYTRR@Wi%0? zV=umT-i<2oqD_~ior7z&Xszru1$G~$0h7%s{HDxFwjoX9iyEb3T4Fd3^L63fPrif4 z3knyOKlN;PB?_I!SNcp1bROzv&wX;*_#AzWjmOLdeA|0wz3i%bk@dV%$jX%{v0OH# zeItrj7rcjBk5uj@D>5*o$TdZ^4JF*#`qVa9)9LHuyLR@3@^T|jInu1^gY=j6_n*iG z%X$nM1l?-pbX=-b8d>$zqh|QG+g$FRs;rGa;Pq_p*cyG4b;18#!&*e^>Gz+EYo&}u z>oenWUUVYoZ8QjLh4()UN+21Woly}uyM!C%QpEW4=CAWMCwLcN>?@OFGbu{Amjz$~d(`l(I znyVw@UDu9m$NWhBb}+HMv+iHP7n(t10XP3`Vgvpn&3Z@!9?~lq@ra3viIXlMy%qj_ z6!dfWqvYYLqT>n%KOEB1qy_LJU@8dSa0n>KaR_k;n3;m#U>pQK`1M;r|K39z3p3ZB z*La9>h>`|L90DF<9AdxyCC(xK^Dl5c`1jj=Z~T5=4gpXoNIzR?zQ@D#G>CR@Je_2)l>xvd`kIXEzRpd#FziF&( z;o^XBHnVWyAX!iQue2g5PqOM?4b~)n7vvue)=2jKCD3nX{HcWw;-TwLo7}eli&3DD z%)yjSR8a8e1*#U0tgKzZTcMwC6&&mwoOK*c&43yIMqq*4z#Ptw4x~{YhpRKdtI4d~VJ37EgroQnv1HOeJA^4EsNhP@@|E`f)U8)mjkDNS*kp6-y?+N%CX<|b5 z*2mxf-aWDhLiUt1U2c!h{qq-PAI#n+^JY|ui2T5qR)0H{eW=PKDb6DHbD0Y-I^8^C z{`m)o*Q}*(y)5|`ynJ{mL&(bBOD;LQt2%JVtBC!L%0GB{?9@-!nXy22^Z)rJlu%_s z4=rM+>(_WvQZF~q-0611T8g!wj?$h-VPNddg1NQS*`j1x`_Q10=(GjLPB-CyBGcaq z>fkg&wM^6R_q^mV_RT`6wbXz8&A&*we~pR$yj=?I2V}wNADY+r2WS2l`&tc@99|yz zuO7lbb)jF|`7)*2e);lvqw9ydwbZ-F5(oK#fRG|zrhdAsZx<3f-5y-99|VSCK!Uy^OYHEARQ=k8j!SsI$w13}cp-v=qJ^1WHo%-9I`{^c%k|&GU8y`uv zJd%3x#qISMx6|1RSF;xcH3kec227Jm3X@9eZ`fN&{PV2w?^EXgme2kbl5K_99~dR3 z9DVns#8wIfLOejG;UB!VL$Gw4Kc93!HDZPqd0|Dpk z32wmU{%&cSrGy<^`hRiLf1CyX5)uC>L;l-8yGP37hj#hwWxL!sZVlWkVyEf^%@j)V zqCLfd0J49!OgdEky0Dk|)>2o~7VMM;OsVay`1ea^UsHqrYrCvQb`;M(>dan{Rva*mELml+50&e0S14jX`bdht z%kA{rfBwP0pl)@p9>3Lf{$26h+TWu`5{mf^Jqino3jYPgks#h5@Qx4(qW$wHiT*zW z9^tT9f0k-Kaye97XQS7316P?43a61Q{(R!= zg)w@Eti}AAs`#AT(IE5{WC#svu1E zNW1EE=Eg>RpriKp5J5PoyJK6>o-?ym(jN?ax*o7fT>+q%1V3b%BhpV?1ky3n>d zwxjM4xPHbs{cgxe*VcT3!(^c&8RNbnE^bD9%-vO{V#;vq>ebhPpULuj6?FX_EzIN8_apvfa1}Gn61e4PJqZ zI&EtxGYFDrt~Uu}I0& zk$TnFmCg$eIF=*z%6 zvAF2c@)PbnTlP31jH)M_Oz{2AM- z&$-?c)FU|~YKRnQsg{#jN=Loq#WA+^#N75(q8Kl{b=6Z}h07ju?jd7nd z)(_#*t)8Y`h%sTupoE7W^Wf~UIRlZ)=X2N4i5dSurI8|X;M4+RO8#;Q+D-}^?ndIA zLshthF?UG~xzcEm@*&qafC^3-?+-IW2o96Ru(o9>_UtzUw}+}Qs8gh^%e49eo}uPS zov|3p&EyE3&V{#&#!$#Hk`{wG^S6|G)(y*{P?24YPgiE#wB502)De=w;JR*a(uv#o zgJ?9XU-raFSE<|z0;Go=D8ekxE2XK0*wb6=>7lLp;zWZ>?jD*$*&G5kd&U;ao|A*~ zdLu;Zmt2zq;XH^99P0ipV775(3rb!T zW(5BS^+v_>$;fo559me;c;irWO-h-l)(9hWTmc4^-j22bc3npqp)i~*u_$3F=cw66 z9O{`Q76lH8fOgKsMHuO#@bgVdS!{DCUScJxCmoK;l+ zlVJaWL_lj@TIlM`H|DV73;GPE= z8N>HGbd{wXM^<(=$9@ENgF>$&#HxjY>%ri+++8cu z2K2kLZ32R2^KgTY7iZiQN(*xC^?=f^k0?Jh)V1&gZl;xrI>NaBj_7VDNwUeEyrgf;Nq@q&$o52fm8Dews?$s^*M_jn|6Dxtt z9pTR;f(``HB?oPbWqG!(8!A_)aFv~B235Wyua!y^RP}h8IY9vvg&JQb>aZWBrY~?! zdV`+A9|MM}=NP;2I)cfy$H+4+=N{rTm-NTaPJx&NK7o_#xpYCnq56^ZY|0_YaX}t;8)O{h9c9OxEM>-d57hUHVMS)=`5BW$==B^l-F>Y-EWwZ#SOJ!(@3uE5|> zY-?hmt(g=G**d36K}~Oh6hA^}bkh|<5~8RW&s7UM&|tzBax8_hoF}-XeJqAg8nF#% zwV4~MTvYYg#8+M^6D!F`Xs(P~_GAy^7#rjJs~i7jUHm~N@{|1@ zW_Cu|B9(8C2y$)`HN27>fuQLBd(OUXhi-7VC>yLsvkd zF5G3`0S;Dy&$+9si1Y3k%|hL=m?<^K31(0M278whBH+3|%0W>DwF5cY$OmdhdH#qf z`%uoj3#g|c9gEb4LqU~sHmtFg#A)?SgR%$`xK$t<79{R(C4K}~*Npcapt^yS-%cTJ z91wia^bZ979V8Q6cb_-AKOP}zRQ>B~PiiBVE90+t)u(^%!n}f*T?oeu-f! z$R)ir$p-{$E&U~~;AzH`jg?rSz?9)nwJcB5Qg?W7-2sZO=KoY*g!W1Bbd^sgFvynP zPcyL|Rj6AvuKo-R=kv>)v_TifJOxbtMx0-G(aSc?`edtgl7sHDE6opJ{ES{ z5|ES!rLYOOcuuC9wSf#6{`aDO_!XpP zATK|}RU^yd30f*fY-k;+-b%eOGOpdZ*0~%`On6T&yR9*r#03#ki0%`FMq+n_C>C;q zjQT)wRg(DB)(m0uDS^NXxS@ZtCp+R}ae-v9S(`00-L1Ns_R0v!@qYc}{(`Au8o(7z ztc+FIo$T{87W7x|ha8Sv#)@DwBFe<{vfc7L^GOtxfczUVcC(nt9`F+OP0q|jELLP{ zAP{d?4K@r2&5~E)k;|Pic;j+is0yHfsfgsf`f-rZ)N|)!@BZ5_`{gEInf&(L^CwJ* zYEu#heMz1+Ssj4p*93cN=!sdSB+QC{=74}{N_1=+GTU;S7BKd^@zdrOE>pQknIORP z8ULTZ_9+GMeU5Q~F~kV}CLP(qal#sGCr?MjcTqJ9I#3~37j)u3Y2{aHW87!=%a?Z- zo<QF=2)>dq8Pd?xaLYx`*tmH@%H7jmEkEFLsm3MeCCzJ#boI=ypq!WFFOAiz zPWd3D3?%w8Ez{9`laR^bkUMojQLS4Gr=caN2L#!9(1hCWqU>ig6dsTo!zGjVD z#&(bc?1J+o0*?8v^=Yub?Q#}8VLYc9F zQu1`{qVZi7F6moT|C+Dlf7P>Lko$4&x>~R@$M7VC;*9GYnRN`~7tdOkKT%04~Z3Q9y)iTz_ux2%ZD zcQk_tsfW6Laqr2KGRU^ngJ{9n+gzMMge@}pw z&s_ymYDN`W66M;f_Na(fKVa$uFBM72-lQ;Fab6y%O|^PYR39ltnJlTQd`b{;T2P++ zcBid0S5kNfB);7__SqSI7jDc@PLfgXmKa3EvIb-+|0+&)cH8!k#cZ+Be4-;+#HM*t z?!&sj%`j_2mbqm(J7-P}=&~dCKt|nPk8pL(lVBpibu}>EK8YyK!Vz$|HN#O65u#S( z{o(lL*aQb1g!vDUR5uC#Na)}38$y2{!@3hfA*nI4eo7LBxuPq>rwsylPoA7Td&%n< zJA`nOHl~QGGM9 z26ITuASTF97G4B#KPbS}>9mb0?bJf3r>z)7-Kjgj$ig^t!w$sU5Z|en3JN2TLR{ej*T`{h;839C>&6z*%Sw zl2_(HuFhXKO{&yB0zIO}oO%GzE~+zmKYD!z7ozGhjl>5>?^(*$7Dvn39Ky$1hHX0!US~MUHhDrsB z2!`DQB&N8Mi3gkd~ zcM7WqH1}ND3?&T2Gg>3AlHBT#qW$s(K%YO|MbAHR>N`NV-9PH zp2E_#(>xg8>IHVlAOmn=xby#9Fx-WB|CBoTUnTa<@|=8zw?> zd$0gy9~(TvQJ4{-K`d)K4pm|IUDWR>0j7xT(^BC<3{E{kXGF-j=h+xu8WV4t&&i0E zguB%DXsM)1=@sX{T4pnM>+ZVEURpjz%*p6rNB8U9-aP(y;{Ag6KbDr+Yr{omd@N~d zL^`Gcy)fujt8;kFX4SdXdeYA-r2|lq!W?Aq2$^{Mn^okM-FE3zKvOKWM5t>H!IR{s zMRYckJ%KcyZRwVbeuoEd1hrdbElaKXEb6Z&D1pht(K4r_$sKBA?o(TX1yiD+{jho5 zae`Jd6^qS$|*3jU>j{@b(Ikb89`3F08Vq&hI>r>!yg1|{b})s2XrP{BDLt! zCRc6JFlHn|gt14hu7=LIN+~OvG_=`sONz>|1Z91hcuhFDn>5@hop_-L?t%@1Iz-LB zB@KaU*sZuw$Y6i=O0VZ?Jf!){&cY2&Eg8q^y9 z(}Q4+2L(f=X!hnc1NRkBXy}93YBE-Nb=q9tb0THtG>k!5nL19myBb@dkQ#1WU#y0j zL5Y#2h3`hRqro_-Il_E9Ps$V2m(beqkuJ~JTuaHmD791sj{t~e!LsjCl2|ZG;*oka zTe$cQRF?Bc#lgrC0;XQ(D#E_K$(5k2{Jn6$SMf1gP)6JopoJLFgw1ev0A8AVqZ~L` zxTAX7dp2AG0#dHa9_uY4MO1BQ22Se`3@XY{XHOm)baQhC6M?((YQWK4KAc86IrC32 zmM{oEL}hXqgn+h_Gw@!vu>^SwaaYkflyj~m?}nvYchs|J5D_C(pjuU=p$(w1cYCzT z#X&6SCJh2NRxZoZ>^lx?!-4*C1ilKy*W2-LAT-45K;eSV*z`gswGq0DZSy&t%sizK z#_ALQP=%GBlZ$2cb8lzFvfmfr?A?csZOyou0aJ1)l}f~h_t;m=88?A8CW(1m!L{Yu z<-rGF8}c%^A$@?URJ-goEX)uCi#V2*u7yT$cyiC+F1&2$0XISwpd8|-0CLlIP1Nbr zA1bL>4DoTTC;+@DGJPNk-$*POLI`}z7zig(os&aTx?*~z3mESU=ZD}|0nPfONWWx_ z1cGf;H6XAWArwYTCl{E({)*nVmC$T?at!seAJ2f8=~be`Xq^j(2oy@*N?_}*;WJA; zxsi`;1JkQ60tu}h!Z(Pzsvkt3t*UEPnYpM{gHQ}Fv<62_ z{7DT@=C-O9^{7LVJ0x8p<=Z{#n(ib#m8NQ;oSqLy5q)~o(D)uKJP`Mj$|>=RFxn$@ zAk&3(FbKvE!PGrO;*yuOkx|y@L=@;V%%GgX{PN8ri6bgR;a?~k4(ax6%gt(# zS1T`$rCo__YaYb4qFhDY=f$H#faR}ezL!86#u>z7rXuz%-!DH44$aaP<8hf2Mt|-Z zEErKc1&$B&U;b98Un2`f8Jg7?iEQtabjS>M{FQNcOaL~ zNy$_`YE3PN`bjR4gti|Pw>K}l%0L<4qz^x7xovqpae?~Pvet|bhU=D6)$zFKR%@{V zCa$rJ&Ml+ckDqz5@$(?N>`Hi4>r~QK%U_W(uZtOJ2xs)!-HQxVH4K{x5m(``44+|Gf`> zC)Gw=t$1&^cW{2e>M+aK%cFJ9R@!{ck!44%^l^Tztm)M$oaTzgu2H@gqm#OP7;ZRqc-|)HZp`dfWjTLLC6g@F zHb&7XS~DH9k^OJI&5Z0^Rg5;?baxWFA&TD^^5hK_j$56#$=FTzc_<$d@ z&f<;Q3(?^#&sW0Qc8#3MaPPT@UL$Dd%PtZf7%{v6o=0rerD2SSf0Z-mi^Zq4PD)qw zU#_{F`n9!#ITX!z7pPkGr*FQE?$N#@@k-~Q4T-8DeuQ48R`bbNm5IjQbgvqDqu~?s z>cdBI$t97keiy>d@jv^54JbM@#+hroMxs!83-e7k&dP$HQk)Qb`Ag47v6IES4I=H==`M__VUnVfL48wi-U06L#WKV$07C8bQ<5piBdr-7C*Cn=u;#H~Cy7%E~c{ zNDOyLTFxZP-Dud7iI?7#v!e?vOcgn6%n&xOKqL5XvBVrFd~vOT-+S8%;=eLwT>1+BS% zEi;DmJH~xcfO2v`aMcq0cSE*tZYGn?NnVkqgj*f3C2v^y3a^WVk&6g&GmsyO^dwMt zEqaa2;bWo5ma&Ay=8r6{<@nYL?oMzR#!yTpP@FKR#$ElU1!6fY8jw;kyn%C`giJY? zO<4+mKLW!DuVSdz2G^?zv3ywJxO!3X=rDm9=UAk>`kQIsZWtp^U?xmCQq4y$4&7R5 zOAd~G2{DOBw@x~?wV96}!x>pj!I);sfy?qijV=Bl@?MY4mCUovCi`uylZIhZEx9yE zPar8^BRo?2t#H%M zwMrHtDkKnUi;=g4B9{zT41B~uPQWF^1EHZ83el|_*S4<8u)&t@!PHxUEzpsDkg1*5 zKBrQ{L59F^PXT!$P4m2~zISDwcPJBfbf8SDzzn?RZn0a{mr@(7GUoPj(P4iO&m{k~ zHa@C#Pu$7~gy~=#27?zss`FyDx2dlhr-4Lf)Gp#)h(@p6wTym-uJ$8;4h7;%#;vvv z%@a|(ulnAOqp+zT#+iYz?UT|j;uSdF8gsGSGU6Q1JC6_`+Ml=WF9%CIXk$HMfqB&w z8y93dQHklj>{-q&0&_C=qI2z8Pl^5?wfgILX69g9?RZ@Yqm=UUBtDE4p$)@bUVhf- zBGkBL5VLWh_y4C)_HBw|v?IO=98A%wOqIT~9Cu8;`frg6M>&!`zir=LRtR||Lw;|MM^RFTQ{0ipomddb=;1MzF0y`Bo*g zsnvUct(>vktG#t++YTh4GO?J%4)2iG%F?PRz9{r`YbCbBtx7iJKmPJx+6lW?xs1H! zkEuC(G8R1eib)Z<>0%{;NJkTZXSs~ZNE<q)anP*|8?RX+yTQx0#8jo~Dhn0w2-+Sgi>C%eNi z#@>rw9RWMbj&O}8h3BgQ%@bxIew0nn${gBHMo$+Q(H1u>i@u+PF2h%Prc0iHvQ4)k za{Io zgH9~whLNYpP4T7kOb8H|nS=90o0}VAklAPTvEpA`R`-RpNYLRw{qpr+z|Y@c3FA=z z{up6|nZMYcD+dEDTUcjttr~ee7c{Lspd3i_3K=l=mjlqWOvdBiamm^*K@SX;ur=%- z3(pR^TUZ)Lh;2PbhY#qogcf(LS3_^U{5QV;RYC!Kac|j(@DPc6+R{>-Hkgz<{F;!7 zOZYY_?LzWzmlbFG%i>n3(n&-vh8v{fBvL3ORT{D3+d!wm6NW>btRL4Ha_ zC0Wryq0hVwhl}x1NcVhP|7b!ms8zBMi4H*7POg_!+QxE;7xcvUQii-|Ttwu~!->-)L@*OlS4y9ZVr^+C=~d{G%c}KiL_hR~4mSMw$!kvZqMT>Iz_#JX4dSfH(8EyHzbE1B#uP zn-UkNfRqvvpp1KJ>+DoA=euOYa%Wg=y|VHweh{GEGC-!E7Xpeg4S2UDYI<@~b4sJN zrS{Tzf>F|f*N7A$YhpRbU6?X%o*zlM8sACe%OH|DmH>x+&@WZ zGlHJwhZ;pQdAIBG2xCa>p$tBS8+R-pPe}Uek|h~M!XUB@2oVBvXbUsp+s71}9Ss6cc$czolM1ISA@meFUEte_W~TZ%Q;db(ZGb}Wv{#l8Es;8i2nW(PuW{?6M`8%`aBY4gCkUr<6H7v*$ctZHqK zGI#>zRq5Q`(LW0ItHh@ttS@TA96|kNf>{9i!e`EncWoHMS7?F=s`H#`*Km!Mh+EBz zL|*>F9Ll#Ozu@IhGmVsz>ViyxW{12bVAp3cmB)&KZIY}O=M|wyKzC@6fJ!@+t?+jP z+y3dB{|cE`2YK$36=uiR^0{!@j%|~pBv6pTEIf@%aBZ`XJ|Ov#Ek7jzKn|du1fl1x zEj)2oh2%+~LqGyFRw1qB7;c!$z&BZvFD10pt^>RQOw^7LolO|vKKSWPMsyf}W~L1; zxM0w?34>x=FG>Cc`Uxbg1T5hKQ^!q}H2af0N;EEL4nP@Cy{4o&o6n-9>ia)^3J@6p zlz=s-jG)n&a{HC@B**^;B4hRLUYS�hn{-3h(q*3FgL)pLM*9#dWAP8KT**sY^;e z#vP@IhT3v%xErFO>dls*NDTRZ|2cd=rQ5j)8Ya$GfG z)gI>Lh>1yr!JGtUa7Zcio1(NFQp&1IahQ7+a z^)PP)f`BTdxx@C11|;B-xqqV4FJE;gnk<1hV&mujk=L5Mscd_)0|UzK4i0YI37QO` zt;hms$&`jqhUhaZf&ty4FHBs3)N1JKdGZ|aA{U{OS+=n*>PzO=LwLB4(R?Fsm&W8rM`#v zUQU5oNtA6MhAQ8H`teWH`Abt`ZfLT6KK&-ohrRRoT&9ZgDSnbZ|B*|-e6tb|burgm zK+K~pSTGxiWJGT1q;EbTJ&aSsCz=FM*!>>1r z`$@Hyu{_~wg(I+c-d#}DZ9!_u#b0t3HEMc0^Yc$9`nACIbWC+43u#bG^wugN1>YmfZV~g<3I(k)+1qqKMMF;Dcbfj@h@}~ zujmeQ4C8i-?Q7h=n(gc<0Ui8b)m?i~Q)d>R>5lC#uAQlrvQxG@jFo4)0TLlZVb`r_ zDx~JY_F|;)6RY6 zY+naQdbL1_7Ff9m@6r&p9~}FQy&JD`#R;0bENFR`KE*w2Wq21hyc4M4W`x@G%Ss8@ zs}-F;)opnNqZ*F7$#k7gG34w#f>xF;`E${dV@5~Ld5KVKx3m6WNd?-cqLkA~?VpLn z31L%*EfB!viWC~{Qabk1!ZqXRroTlhO9GQ5V`gJLXpedxH2gVQ;kV)EZd_e{Y)3*D zlWS&xVNd9gNEu)c7fG+G&?NgcJpE-$*+O{(cy1OrNR62db;IqZlWp~T!iB4?$4{w( zL7)Yb{XxTF826|?)wG)70QLWPh|-6FT>Oh(ZGZ=`Q`Y53W`CfYMCWV0>Ah*y3o%iv z2>i6TR(ePRJE-dAFIr|69t>Tmc;t=I_v-ef_vW(!wPaD@$W#U9W?0c+DIv2ukAuR{ z+O}sp&*L$@D)q=Jya{r}uaTJ2bvb{nGBV!2F_Pektn%SVTsWMna+eeNy}|XjRw?_R z5_my~xRv%$E;;8OW`d3eGtliNJ9ZB7y&@u@Uf&oXjsOSmA4C2z66eM-rFNq7l(zW* z@a-BS^0ZzoPeFJ@1Cn{z$S&{^NeuGY)z#M=N)dM55QnSc!6WD%=7s0-KHuO-ip5_s z6xV!SX_}99X(o(Ed_LfLz#C-{a@yavENmIx#W`!87F9^4;#t?FV{%3Ep-$z+@zdHZ z{+sFP0s(*4&lO=EwAt^nNVi=oTykw^oK~-=W}V_ePKgMYO9(-4V^aIq18p{^(}6tb z%qMY&(;2gg(G%u{Yj#wx30+`Do?m0FwyjX*VU{C9Gi4FA-jNJsJtprq*%&8d0A2CRl9I+C06AUgkl~|!9%0VGs_@PfLKQtCd70Y=~j$2u-?$RNwQ8n0_!vQmA5NQVf8Hc_9Y=dTRUxP z(Pg3TkbGkTrHVrv{6zlDy8v}ses$vbTNEaTcS&_&3c%tt{lgv<)d8>DA)9SZ-7s)= zoyW8IU)E%;9>}pqgSNmoJax_s9LI!+SVI=qmjM)e{E1NIYHMfy+MO4HO{w~^oG|AR zT7g1(+ALcF=&oLj6?PT7+uE=H5wQ2>ZE;5+8me+koTSo2l9kRKryMMo*Bes-+bmB% ztlg9Psi{jm@cSShPZ9HINJI?I@xs-6uT+-ut1}hM8xH0%6wBS>Z3h?IzC3z_%GfXT zt`uW`KpBUG-&+RdFYC`a;vF5~MJD5NKr40=MWktX`JB4oe6dUU*0AXBkh27a9gql9 zhPdphdHj$Cgz9y${U`4q?i>^u85{w|4S-|%OZlyDe;g2&JI8H)8WlT)^~57@jBdfR zGcA~lTt2#c6&5S+e+;OWaZ=lz-e7M3`HoW%4`{om0Pi^otV%Cl3m%Y3{z>(F5L3p; z?5Dh(Mj%iCe}D%xo;evm4*1A|udzmA5LaRs9irdARLA?@JOt+;pgio$M>7YcZ{iyU zIGd)#7JrK?Z({`O{5s~pRfFIb+9|=Oab87mc($zO7t=R@`|vpWD8_8yyVu_mr3{=l zdncekNE~!F4MjRsAB^=Zy%zUT|7-99X7go-I84Z46193XJ(*V{K;F=l3S|6ziQ%6& zj8K;&?->PY!RgRnX$uRd>OIv;Kj*LNTab=H=qSc;HzhINremvXd|{w!MErY)I9HBx zJK}Qg8d$JW`~0USdz@ezC`^e=SQek} z!a0XQh*5nd=b+lf_STi*K$~8zZy)A|(%<$11R1Ol@*v-kgC@mS2l3j;r64@%(q94u z2Ee(YPVDY57FVT=wak)wK{#cj4M!-GKVD&VJ)#FYiHU=I%br=>GksF_ z;q&qcR9;m8JOq)Y8A_`@^z4S*5#d97cbkL(g#~at_jTif`NYJK2M#C)&cK46e1E*d?DVj;q#UZge5!Z?Lm-- zE=!>h%>1AC{vD~pQK6XVngg_V~BxyhO>YrZS(+lIdRQKVFUiE_p zJd*}xYpF9&w7>V&fd`b7qB_yJlG3cqY~i<^nZL24Ucz@eBr9gy;T3J&tblIFsEKmf zx1EobsA=+dnh|H+>Fo^No8jx7O)@eubyLk&QkIy-&C2BR5>vM{H8n2HfUeG9l#n%z zTefaeaAl+qyyV)L~&x&#uMi7pvfTmB}(UPnK?PRFx|UtnVDJ8koj&~ zPEI!TGQ8U+$jpL9hIiY9{7mSWeU~jOSCD(JEi)%K^S=8EQETe^&ds@Z%sgSX@ZRyk z+;Z=?<)TOV%~+bqnyvM< + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/mill1825/results/magnetization_10x10_10k.pdf b/mill1825/results/magnetization_10x10_10k.pdf new file mode 100644 index 0000000000000000000000000000000000000000..1849f3e0559886da84304c89f40f6dae509f02bc GIT binary patch literal 13767 zcmb_@2{@I{7r%YE$WElX$iCdoz1Nj}-}j`bY*&=^y0T^8BFf%|l3gWRktC6_N2P@} zTaqQBD9L}`tG=Z?zkkpF`CreNdFP!ubLN~gb3XIF=M^*8)|EraE5O7qzkpw=hoRs| zxVO_Gn6fe)VIAZ{gd?;Z$&Mc02jK{F$Ad&aI2tstgsZB;h+ZyGL&e`Z*qS*VB07`d zcuE`4flMZnyx>^q5{57*c{^JX$#6SBN?R9@CkB$?2m?<*R`W-$^&>Zc?}Hz zr5+dzTv?MGz5IL}NklK_pr2D+Yp<#b%@y1ruT2()Fd@3QJ8F6d0@fk&SVb&cK>-Ev zXi4<*_9r<5xj=HT{7DEB6&MsS2&nkM36y)kn1rr>@~G?X0fYoc=z4&eY7?EkT|iG` zqSryP8yp2`gCcA{GKuKu2@A|_-D`4kM=jf}#j7Rxp|)4_EqMH~*_(adM2~2Y=7no(!X$g!eeP>w&jj&hDV3Rl`Px=<0O;E{fI(c!l5S} z(}O%>1s$>(h9)K&q88n$$A_19k6znsG2Hb~&WAO1S@4?Fu?$;!t4$6vroyh<59SMK zbZGd|yD$#0?l^9F?1l~AN9yWc{WFr5wJB0QCOqlK{F7W<&RWWKHy1WYN?2lZH>M=IOsJG{g=jUcc7f+d`dxb*LPMh>(`$tAKdxZDig>i=T%UQEn zbIK8{hL~To7#k;)X#28kAt1R>Z%*5I@?8-6D*x$LRur~O1CvF=!v9fF)^|*{;*p#W z+r`Hhbt1VO6RUerS*&cf&pKG5v^Y7QS7=tl33taTA|A4vakCzKGR21@p<-Bg@7kQW zVb{AE)?7P5C6;Bp*O2D)k+XI;3Q{;lb!57W6WH$UR%%PSq{&sG=(Lymk(|e9X-rz8 zxJ_ZucIjByN>LN{&_l=jA~lA7!}eWL49x~bwsp%9W*SdZ&Q&p3CMJf6ZE_G5?~N02 zh;_V5tDjASkiOx*BiqG9N}Rp;ijYvWm3D*R=R7-oK95a&v;2xCU0B3gwnS%8GB zVA$OO9R(kDR17Z=Ur7f>GW9&S9ApO6oVQ;*zr*xsWlB?-|B0YOd^HiFBBm``!7}&z zDoXe0Dt}60s7qU)F}O`IudahbL|y1HiN(fq>Kn~I?;%hKZ7+J;7F!(uZMo=InLpOj1& z^AC%8Bs$;#<3JA|W;!NK5-TTftxERbIW8vnu*boPOICe(VA}~nQ8$)&!UZ|g+Pbs2 z3(3KeoNR*rcX4hU+eAK$$}SJ|TSdRgBHWxhBm?7}O4JtLI?I*7#uItj#UF0|%~VEo zwp}*aLnQD09Z&T)1L|&(T^1(_=xAyqlZ9z^owKqwpzYJ#f0|_ZV$X{v6@SvEo;vNI zH-;&@vybsmOMEz|o23;+Z4xlg z>Ecu*vk$vPRHEyFEkvg8%%@T#npL=c43aBnK46xpOVyRPXXkzYZk9iGufy*{&DG=0 z3}5;Vf9Gt8O>NWQa?VaNEH9II&FOgp4ku%91v%yi-08A}8OEg@m_B~nc_F!xjmVa- zFO;Au-!?6xb-j-)epfN6Q`K7}^TPg*Jc^p_Q9bOZ_dH~}lqaOKTjX8XNQ9??t8l*C zaknY5i3uGfo9x)p;kcH|3-qll&%9MT@1aPUf8t!=_DG)7c|Br4J);LB+dzclLc3 z=Vym=FU-IHf!)Y-wznC%9NEAPQ$-+R9{Ny{tZ^Gu9ZA=)`+Rs^-I11_!w< z>Vx$rJh;ObZ*5mk97`T{*ZJ&;p;OU` zx0~SMy{x#9r7yGeS<9s0z?~~&Llxy=v&B2z2y(Ue6Ii0Ar=naix8e1t8;>V_>+{n- zp{Fu3P`ufqcb}7XJA>(ho=4-|DBqno9bR-HHY18YIA0z{2&!ilx`(u5Xd9{$dSU3B z-t{yuy2_~@jPH&ZoVZEV*B0%bcw4}Ip!i(dQyk|@Woz<&$2)a7`;cC5`IGn`1)#p> zPk(-w;q*xLejsuCAo}>H8Ye(tGa!&OII+CByEnJS$_sGu=vpX`j)=*NmScQLgU{(l zT*K}JqC)xePdOAEH?vFH{dsP5*W0iA{WQp5UFU;B9|Q%g7>h}A8OqR_@t+!D@Qg|y z$PfA;{;fUzQRbwYvdZe@M9av1GfC0#Z^PbdVL{BHEiq$?N>K;4j`)b!U0D1&pUGWi zUShFj_g9&lam&Ty-6ncv9d4m;O^b-pTUCXM^|ZaW)BwT@%-MtqaU2UutvP1 zOA#SG;8fq9>(eO<^*LAkI#A@x1MVKGXP#7@2+5A;2uT~N>Oh7HL+>0l!JN3J*AD05 zb$gF{9IhmN?M#tb=oqpNX1R0JIVZj_e2QvG`j!%J1IbcfX?{zl;KfhrM+4)c5R>AK zA>TfYO^loiR|`8jzuf7RRP0?Fmc8MBL$vPE9g0c9=TtJS1jqc13lE=*fBm0!OJip3cn8m=)vkP;9n?{2HBW z*N|=VKFU;obmB5j@M4nd{+2$g9@x3>oiBDABI=%@MNeASa#vM3(7&a>ro4!mDY1VS z6Q9#j@y--=@rA3dVA$&5!grbwG}3v4DgP@V{bO<%T#Y%>9I1e0Ow)~1&q__uOcdtV zr@GrU7RCHFVh@A5;6+8oa`AW>HmZB?*u?)H82vk1|6gKNM6Q#nPSQ=bCM1(~NRb0w zn7HeC$;|5TEpWpZK4$eHbxK@lt5=S3@pQSYvT;^(3}^BkuywkY$vIQ`6kQJolT8c7bn_sLuY`vt(k0jCmjCKu&)%Jm zoU59)Z5d2KrR_aZ6Go~^#_ZSSZ&!-2T=5s1>NpF}mHCi&rmC{<*|39;p!og>KD@&_ z_hdmVc_^w#K2tNYRc!XmQU8#4jb;LYhXhDR=s3079heW*^O@MzD4$O;r5;`lYnhQ7 z%}bl_$ldZ~OZN2a&T6kAi9<(3`bfO!$JGk=H#2eTY*P->De@VveiG2H!1dUb#Wah$ z+*B=T6P1I={yh;><=O@m*$p;Y6zil4 zJ-=d8u&mv@eaic)@GTv>mP{h*bE!nV`!IVan)DL{E`+<Atuq$_KjB> z4STe#;qF|y{j8}2n)~#Zo^ZUnV(fBJ`6}m59|`_^Mpf%Ad$t9u@6_hqQ*O{=+i$b) zP)-GnP*qQ}ze-mb-B_Q*VX5ur)|$7-tLH-omRYF05tAFt4LS<{)7;iijj~cBT6nbN zsRT1wv|t0&*|Htx#X%tGqaaBgV9-Vt1O`GQ&(D9Ti z?Nts_DZW6)bSj3cLk9vgOrx82Zb84|OivZ$*m38q(Qy;~3>AZKGGm_#G8M>S;xc|; zLP(`Nhw|H*c;U7;o-r24NNwA}t&*T$MY@HzIrb`LciR1fV&VcEFU2cOYMMq~WY)x- zIju?m);6M_TwVWF$k=wIB4$q7k*`16Bo|v6<63jV*`+0LvDr8wHm-%s{9I@zbJ?kr zk6ti~7U`KBnQpGK!+j9e&i{gu&A4-4atC$1sq+rl!-@#bNW!g(#9MD!2z*V)h&g9v zSv}pvZU&!-ZR*XgE_A&2H23NJcSaq%ko*m_06p6H7cHO_6xW%qoCP6`R)eW?oHtn0 z@6m_K&eX-#30MbpbetAkNzT{&o*74$%&U)WyK06$oY{OQ;7;D_4*xBD1P)&PhnuZU zO7=BuyTy1!$dzWk04p0UFiETC48sTe1{&XcKJ71nr3-m_*v!=&EyM5IewW_L|5@9a z7PF!xmTCJ3Y;89$}>wzsm#Fs?LoH|balUQ*`Z^0_^zwURwGihuR+Ms@4L z(tf|H1|+ZT+}mqgQcSKb;Ss}2DkGC$zR{Kx+VO25K2hRDu2B-7>jkGS5}*}jV{`0u#>OU{|H+v|fZZP+JL z;u}8ln!6({?#Avh-m2x;bGoA~3thWq=((8-IwBB>-{j1H`5&92!p;2(C3IXb2;8^+g%-aJ{i^w96P_k)|lwi$0@zMLPL zUZKj?6R6*Svwy`4itG0Zl@m8Pf!o%C-1a}&AnGk$+V6c$NHdey16G3 zuQ8*8sF3%LfC(SpA@JpMPwPdSGp$#Pbl%4(7-Zuu-kBaZ9H$*w*c7N*@4q$pZ}u?% ziYm~5H~&>O{&qwfDh>ved>H|YrCygqa-xY?) z9xd10-nC%7Gr&Of)@%_srz<mb8>UI`1Npx%hor72R$V zVUR#2iSR#DRiq4e7iV7W8ya%jITr9Nx4Wz9nl^&FQ|dvU%-t6{U#iX|*H=sJ0kH?v$pB|*?c;qXyqNn!gCq%I%Vs8yf(iE8^RANOm1-c&1C)vR&IV7yvF z`I&#PnYc{eOyiUxvkKSsA={bIoo6d21kWi>g?-R{(vei|CLGqb zTVhho;f0mB4wsARbz86F{kb!Fl0|-Tegg3K&lBS;-#YES6wbQSTNd$Lwk@NJ1+80b zlB*cl7M6T=At-Y^aE01q-f!myg8x?pg;v0>vj83Qo5@;h2#U#JMK&ZiKtFTvwu+&y zPpt4>wY0rlr;jxmu~uey59{e_sIc7Tj~&L`eZU{9(Gydkp8ZLH<4j=OfUeiOBR)M1 zEtn(%4S(xipQ1-+KHEPV&1RI~=<&>$OVX@2u;%r(KJRNhS61~P`DtX~HIM2?sZ+wq zF-8Vr;-|u_q*rUC?4;if=x|r)k4C1OC=AJ}X{9-JUC6LlL|!|w;9Hfd=il4@JeweQ z=J`zVwDD1PTk$g%V^TTeXjO^Qd3)2)nd+^5qZbQzErY{jYSu@QYlC_H6T8JM&LsC2 zr_?F0CY_)APJ80Q9?E-=^#@4IzhX2DX1x>F0Z^(H$uv05V-Lr?JvcJoV7hx^r8d(? z>80`lD-$zXg{WWj0+;0yGb;44aJS2`{*?2&C$#T!yq3yqD*t$+A?vPvn^%J2T;5i- zQ-yeRcX@AFtzI$ixGq*kbR4b~6KwOYYsO;GrDgJn@Pv{TU%Zd(suq1!hJS}t2A!wI z>t~|xy!n(lUocd^B~{-r_WE>t#*QWTsghl#C!;!ZmftG}2CBO)%mY++UktqBlak!N zt3J`7`N~IoiJj)xd&|fT_y_^U%>;**v@4sQx_MKzsIo6y)NTFDd!a-Y{=Mh9>z!Aq zcKr&8w+yB#zDljBJ_d^SXw(z04D-~_ZGAS3;4eRRc9z*+iD=T$oI5alUo)NQgQYLc ztjHFxeOq;|d6X6M^2Tj#2AVeamkMJ1R+=2K6blYpSUJ;DJPjGQG};!RC>WSvOh;^xa*qs zwNI63(u;|$(Zg)x<=NI%br$!O%9MB&i^e;?md$*tlkI2}jYrdaJRxkt`HWq6OybV( zwh4$|)=nu-FU=o5lH#!xoqn&eqo23V6u10dY%^n2SRS+SN0STwaq1&)rGiP!pXYpU z&Z}3{HZT`>FpaixByG~TX<8ocJNfO^s!~hN_yFtf69IEOjSt@(L7>_bZ$#+K@I0PZ z;lDD;y7fc*8E4X?P_1$Miq4lBMGwAhpIl@&Pjo%DfgJx8@}W_GcnR~HoZ#dFj(aSl zJx8bU4>}7wzkBY;F3`kja%G$~ZqJBU>PWjRWwuq-$SJ-de$2}SCnl|fNUsoE?1jyR zCcNcYeA%B>t)+0vjS$9ykuKY^^^p4Tn6GS}WLlf}ZIyQL-U5fG*Wsl5 z?3-EdoZ&t$!fI&3uzH2GX!+uUijeokV;SVx@-Jfxoe$(1OjS;3*Wdb*c-Xf{38w9% zd+1{#*|D{%O{<`v4y!_Y_!?FDtKctqH$AdI#1wbJh(e)|*6NeG`;)ZsiIy8Y$^d)J zKO$n>ABZ@`h^qw-o?K;X>dopg9L*)y8-BQbMcAY|qPS9>AwYtz^cp>PA3eg;sGddD zj=ASv;5(cbmTQ#GKfc=O@E*g?p>(rr?ZxfeRc;ysxG&j*^OI zdcNrSd^+$+uW}~4`)-rV*rpiQPf{~S&uz8X_tGW&p|jVM!{NN2%PMLv7mmdY_Uyx4 zpqnWbnqHwV^;3%3z!3fwm7+1YbzaNF+{jB?n03%E(f*CW4q@sZt^Qr(-v=vOtf!^p zHizr8PgL#NHfiPLpD^{Y(BxDHI*7Mq%xrMgf|bT=wYN>9rZy?Z=`Gij*5)0`V+x{M zB%aD{Ke^Lvi)-w?yU8Ot@&XR$`KYmWnca~DPbIv1eTrahS@kOyb5@b}n%#`)^4Z0G zr;ZVFOB@UX#IL1nu~+TSqxIc;3wFc#c)Ispp*?v`j=jddPYzH&DQU0T(*`$)6YdGk z56OTfmvjWl@HVrj=W%|D>%YK|c_a2>=~&vgtphYj`s+#l6Rd`jWmI=wOBaXUrrwdf z&+2cXDf}x|Mq$@ud7YFS(CX3l+oi$GRl)SW@_t{yYAOF0!y0cYx%jJMR%P2IM2cQK zbz49NZ8~ovW+VGd{Cc_|X$zl*A?kFXDe6*wZQhyq$CGs>Wp)0pnUCB%J6gl%-F9Qr zRhqHyC1y?DEuB}cDSc;m;VMf;sQNX<90PMy=vAl4{Olv)BH5eYs0!$vkrMTF@`6n* z3Q)N=?ykExLjRH)AGEv~ytdCWfNfcotQ?oS(o1EV>GXA|?7FHzmR`6be>X=#sD zr}veN1(U80#wT*h9Yq|x7f*c*%~owCZ1Yw+tSG<1T>lw0{{cU+mW1+`>a3HYuzm1| zBi-5K^rc}luj4Wfz_e;?63?FC%XI%j6y7D5E`NL4z%yaX$HjJ70(aVOv4KL?RP!&& zvDUW_b~ZFV$>xL`Wx~?a)9#D0d}lrNN?vH(`LNna(EycThh0fAT-2RB-1&$1DBWy1 zoBU0=h+1u!lT>b7E9A_p&sOg{!23aKKB!F)?s_^a5w_1JfiFyB?t7u1c0Ixs4m?yn4d$ ztG>)(^FV*`ZFvMSsc zitpl9j>m9iEQCsi9WWBFmrPaL#FiI+U|W7tHiI{{U*GxbiM0H4&mFG{ImA9}Jv$nz zF3lb6@OAa+QqcErv_jV-tT#~2zv5~PVf~R_#nQ-&9z0}wAXTScIBP=6EqyifGTiQ5 zmvtEoL3O_>O1RHX(rT; zXsfZd&9ix#uQeAd$<0nB_a>5ls8MKjj=$v2(~4M9ONa}NgW+Q@^?O=<0{VM2I31T$ zdEXV7U-cOJAPL|7_;PF>+36Tt7L`=vCANgqCC@L!$7H6JZGAYGR4{9IXJ3M&xt-l0 zU7%|($MaXI$()$!J^|l7oQKs^Ch{%N*DM6sO%5KNdx^H3?*n8Xw!Q4oI`}|S!ePf- zgVWfZ8Z4*<->X?>9*d`?Y*J_GcXm+I-dcH;mi!>(jck(r;FPh%Y@d6v5cieF zZB8rEY92=C?C;CO>+qB`NHT>z)!_C$YTLT#lCK?5L;XaQyWdTWgO#hfXBzo2@LtgK zSG+ZE7qs2-wYNP!!Kory)jF2VTT%S&a(AUrF1vV$cg@L+uC9_8-p5CRORhg~-ugHo zclql#YI&+WfejS;uTUTV2lPm~!xn*LrCrSt5miVqL30e#FNeFsrthofxIB{F_lDP9 zGbVeW&A`lVCO0NJnkS{=fakmZMrosvGWa3%ciho{rz`#FHEfiAKTY6i_%g3a5wyK}k3~2z~nfox%uO0cnNA zVRyBSq47AHYEqM|sGlgDWyf&`4VOn$)CXX&zhwvL{l+N>mC`2qIg{Ld$lfG4iV`vg zN0>T#f@mmh;vq*He=88L1w%kVUnY)Zk~<|BOCE`Yc6RXhUkLgML6{FodoC+SEYhFU9<3G8D3Z+6$P!V<1KGa1=%XP|> zAVOnltT9PIQ{LeIoX5`oR^cjGWP7y*lf)nJ_aQ4svQsdLo^AB z1dy-QK{;hI7(5KhAtsP&*t&2v816z zhwO~PjRJImghT|f4NVQoL89mb8g4DYus?M6AE~thU~r8D8q64U!$MpE&Y|v*8T?e& z&m5=>_LC6`1qD24gaT88YysH8fApbNP$k8f043=9KPnJYNF5%yT>$ri`z`&niJv(n6rgt)C5OttC5o=s?n7<WTJSApKqIf z+rEJeDZ#)$wr~`5FtuFUz$p4I>EQ(j`l6J4z;aqEk$_>XmHgo#N}56igi`e} z!9EYZ7Xbf%{aepwXo?1icw*97%#LDlxBz>9z4OLBkF(;pR=n_&Fo~(Y~RF%a?JCgU-7SrI%j5hR}xRayv zVPN>6i55f(VBg(>?jUmdibpdZ}pM;!`{h1UA|Iurrgj{dB}ZqN=`!e8wOe~*EL_R4kizylMUFEPS!!N;dhC+6SJB$M53`b;vOc?zj;4-I0e5mg8 zV-oBCU;TQZ2rdIt45S$vvVXQ|Iru-~Q+UVFVa@P}uVDu>kO`x~LJIHv7_dlhnD~-~ zVSVV;B87fm^-WLtE=<_LjATTIHP9#qhT9%VJDE*XFpNa8?HvocjUZ|1nSKoNtFkPc z+9X?^LLCM+73LTQh8iz?rXN^X_ zazcU?hcqa}VNyte4-rC<0vU#^8c7!x)ksbNGf`E;46?X+=kxJZtDZj2s8C>xKnr7F z@B;&ppOQo-WGPs?DynaNVqM}+Ea{km;Xv6WU^wx1f)XdP3lT{l7|p=&p;zTzK<%&i z9`le!y(c_aQV#<|-{d1j>=_<-ljR^t{y(<9WI4Yo>!*Z_TuTFvV!&ong|q0thVt1r zd+n{UBi1~p&VZWlP%<#8)Dc;r2|L!lWRY38YFcyB43PwIfyM~nUyPTWmZl#YH1HA%||}UvaFesW&|lw)GQTBe1nf5v#GS3Hdf~7 zq~zFWg7^rK5{0s~Yboa7Bf$enYK0<|A_^+^sLibI?ack-EY{g;fBXC%-|zc2=|{c2 z3>U9n41>W84;}RU2?o;{n|bu+&8(z54}w4QWA`3H=;`T+df~6Z*X42hkHz^!hQ<+t zV@|<*!sFxOPQ`?zzSIW+s6(C}hy{UZKxbd_p6kIkF5yRw%1%=0^&6v z*9qyg15YL`n^Wt|x#in-x5MJdMEeEcr~k&!MYN(8Nnx5tCjE|MS7T6u(8uCsfhaJm zQUYx~W;=rnio==_%xIrI0y{<|n(WVYvJf;xD6u-vz#%`ZOo zz{U@Gig0%5n6-^q!Q6JwZoeWcQG8|~98tRwOlfqg{}DuC4p-KxZ+6ql5_p1|JAC6K z$Eq};l~NE>^hDlC(%vTwQsJ76>|?DGuPw>prt|)%B4AyOmhB0?ETU_sPsx2l_5-A+ zbR$Z46fFVi9aa~Xd3!OMWL`C7gx8yE=9hS|yBFP%q~~Y$AZo2k7~TaJUq&XXk8B|O zY311(po`q>x{!TBWXFiLx%x>(Zpc3oti!aB>ddm@%YzPV>cIo!J;}Xf70cWX{+Rx1 zta+&CI?us+_$E88i=zQb38x42X}KBx!^c~5yZo!(lW@8bb}3wi1!RBNvK#B3bKZ&z z|AHm8?ro_1B~dpfj>D27m8aRhw@Gwilja^s;L(H+YZu*-yWCz6`+~J|@%{Qu4dC~Y zs%D{W_*`FkAE{kIUFkWw**p92D#L)6;z8@!{*%>DS!kVmBTK^|YGmo;Pl}ul0*V3kFkIvci;yfe)S2V^7i4*~z<>&$+dpOb zd4G+Qba$tsxv7~(eZ>js5IS{~c6zkHbwy@(6dDRt9zn^}!qWW!>&HZgDMr zaJ)qQF=2~SfeYi0M(e52-u5f;x8A$iZE_R?_x0v~)f#ZYxcUxA{+~j+*(n4@6s}>{ zi_rqpn`Y%iX`v!b`#CVS&)5d*u?%OQf zy@A#sQJSRd-HX}?`2%D~M%rQX0oS?r7ly_lP4k~n?LX7Z?wuvy{81?7lY(vFuTur_M&qPC;623UQ zOR9iyPZa9j88NGc zqUvk9+8zWvRsAb<7IJ;JZy?5u$H&KGEL5jEzdc)Z3YTM1cH1X}h1H!)WBYdyp{(#^ zqm{qqo#Vah__jyAU35z2KT=vHw7LRZ zUc%{6gRD=Iq)YOJG*X99&mYAT(#-|=7XT)DMI%lkaf|WFF~`An@e)^kEwCy21yuL< z{KsRFXdzuEgr!iddssBeKx-mGBE;h7`SMbp--(q>^o(VGwjoc`&sRJ>|9HgFQ z)Z%hD@vL8TW?2nUdp>GGxMn4kPgov%iMNm*mmB+2@Z(JBn&a_WX9-^3l_~OiHeQhB z$`aZP-^6NA9Fvs0>|m%&9)msL5qcU+s>nW%s4hD%>|*OD7e;X6CBI{6O|4Xu^uGrigIKa zTUH6gBFpkTimGr8zCAn>!C{UGC{15T{u~c%J5psgmWtd^4OCP6)wD*cbejHas7OQ? z@Q=0(0l~LV)8Aq>2f?Z(OM3rFu#58x^SU`toVxs41!F(XxL^9k63hFNM8?$K2x0ii zu}3z;lF-ta*?EMvKyV%rAD`BTz#9l}TO1|_cAT-_k^I_370Ez=ZKOZQzj{C!?O<>N zmCR!mf>gShw&*LdUez1LVfFd6g&UiPF>DiADzq6NUzc4abGtqe-mwPh@7!NLF-v8Y z?LQO}wc9QOIhbYdHK9UBX9^1ds-aV&y*GIGRG!JPxH^($T03*s`W5Qy9vr3EirS{P ziiRER-bR}yE@PwJtQ5W9HYbQMM!7lDD6UWY;g9@+(%;e1|ek+wluu zk3=qm^2vD}Rs`~e@U9&lfvgh-@|&XsnnMs5ySBZVi|4IPl7Y?y-a9ZSpy-}f?*87< zWIWTh>_T35mz=#14n&FwgUoHF9ZHvAmJ}1kj~K^1n7y95iJ)fxgD)ws)1qjSc!OY7 z=G$Yye`rX#2ntt8o9^LNO;<(+1!4+!6t=t!7QuUC1|@t5%Jl-aFhytM@n|whs1Xzz z@hX-TZ+_m@c?nL@+Q(+*wM@^|oC%eFYJEouNv=O-$*p!cn^$>lECBg1nm`z&AkVN1 zWTw8ZKN1kUwujvHjB~O)QozD@8Zj2C6h}#FL2N~kc^{&+Qks6hNS%>WO=ujV)C`nt zz_<*r%Uz3TY5F-@tRl)e;-;Wf9W|E)*+y<)ml8C>NiFY__PQC=fzVm|W>Rsp6 d1xvK^jE(<9uyX+g`1cETXur2-`QD(^{{R;sUB>_b literal 0 HcmV?d00001 diff --git a/mill1825/results/spins_50x50_T4.0.png b/mill1825/results/spins_50x50_T4.0.png new file mode 100644 index 0000000000000000000000000000000000000000..c6fde732eac9184ff969f36057aac248f1a6fa38 GIT binary patch literal 2717 zcmaJ@4Nwzj8eZj20hKysPOez0bK`{;r_>>Gh~clEqFf>Igd`pQ0(VFRe{%eWfC<*# zbSCW-^%#a?{;YDQ-7TaRkpO|k5*<<5fa!uHCgF0LEh!;Fz$GMsTX8zQo6C}!%=aa; z@4i3J^F7ZeK1x5lB{)170DvuNM-CnXfOQKmzk%zCe+r_WrxHs*#euY}z`#J`zZjFm z&#je*KCH~-6<6{L%Z~$@C#otdkC*@T{74W01jnZxd_Swk;4s~8Fz(xW=+E>$D=R}& z6E%%@ejB_C1mDt4>_7dW^=v@k+kbl(uzHD4@7R*hgRl5Lz59$+yI`53860te=(Fgi(POe+`{*K5|3M3Vxz8CsJe)#$Ajb zR3?q5DHBATcXeFg*c9!*@(^1hA24E`bg`i%zO`EwioeY;FB^O|9GyG6VQ16o1HaTp z1OR~JbaMSdgC2=#%T7CquE?b|%tR-qZ@*6rE8Xv~UbfHdxD=|4j+9RuD(vM}8smut z+#`EowBX%x9Z>X${|b|z;UQMwO5X>VYR0oDuQ(xyY@kbHWcze2{A8nV^!K?$OsoGG z2c|N+je6S=S*izNW+V)aC2&`oPN~Dm(czbfVtEboAr+tK$GhzyU80t&kwPj;95`6EWAAmJ1R@9+ThQY#)Nk4AIhC z9t*5W2_TuR&TH3(zT?bAwfcy*r$bQTi-o7YKG)|7ighG>Y__o>ii#rtPR)bBv3TB9 zUF(mTKS^;~3>-YL*)Q;Mi(XVSG^FW_`O;7r`((S*dtkfSvBq3mI3}+3SO3<2UO9)& z^KSBRh!x}H|Il&7#$HGFe@vPY&ai~1=_m?iY-#K1lMWjTWekZ;rbayN6Qq>nPkEUg zSM(f5_dh&mPEuP$n@lghdg_TLKO+Gy$TlMHu?g#GvtX^LU0_=7-E(6zQP?8QZ}WHy zCw8#fqz&DNJ4X9E%ZVC44z2gF=B%{$$kY7O#ddyC^LjB_B&#^1Ql+9ah7_81BZ8lv ze7l`|a$z*M$9WlIU9)d%Q6o&eNVmgXLj8&f-ifjnv ze7fWH6bcz9m-5Whxw@dZ#;XxC7(vb+McwiS*QfK(&}Z(=DN%mI>Iy`iSbDK};zB5X zuQazF6XP!JJF^-#tXf0HsPO(WIhA*nXU%5H8Ye2kDCWjQ_)-w6WIZB9m7M_B8oIC8 zX1;Smnv#6w_YI;dK~liQKdq|$s_L(vHR7NF=Uzk)t3>smiMd_o!u>O{hy=$s*{XiM zRNh7<2yGelD@j%to6*Ss-7{@fd-iTNx^lU0`Tj%I`c+%_Uu6Xb_I-@8BlA&hOCKnJ z#mP!B7qw+%U>RZw=hv_N=a-5I`2)_CCAlE}ymT8>i|Of;mBYSq5Hrnq(XjkHa={}i zl8r1Pcv}ysr+ieme9u+{QtzPU$BtmZ3_hW)J zV3)zA+0#o9b9eUz_gy|~Fr>f3bC`L2&4^kofG&|q)GSJn$627$wOJeb7VYF7`5PT! zU4Nluso?C+P4wNv{i^ibX3iR>nz#oxxV(2Y@q^+nw%Of7$+8GydG#`aijDp)#Y33t z91_##61u7jEv4xRM*ZJQS9%e0Znusms+>(Z2bQ#$VHn%q1XWd7qR3wEq0Oj4x%6~m_XVg L`oZ=C1?T?*R?JY% literal 0 HcmV?d00001