{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Digitális szűrők\n", "\n", "Szűrés:\n", "\n", "* sztochasztikus folyamatról (jel) a zaj leválasztása\n", "* jel helyreállítása, torzulás megszüntetése\n", "\n", "Az ábrán egy lineáris rendszer (szűrő) látható.\n", "\n", "![lineáris rendszer](linsys.png \"Lineáris rendszer\")\n", "\n", "A linearitás azt jelenti, hogy a rendszer (szűrő) által végzett művelet a lineáris tér műveleteivel (számmal szorzás, összeadás) *felcserélhető*.\n", "\n", "$$ v_{1be}(t) \\Rightarrow v_{1ki}(t) $$\n", "$$ v_{2be}(t) \\Rightarrow v_{2ki}(t) $$\n", "$$ v_{1be}(t)+v_{2be}(t) \\Rightarrow v_{2ki}(t)+v_{1ki}(t) $$\n", "\n", "A digitális szűrőket a szűrő **impulzus válasz**a segítségével jellemezhetjük. Az impulzus egy igen rövid idő alatt 0-tól a maximum értékig felfutó, majd szintén nagyon gyorsan a 0 értékre visszatérő jel. Az impulzus választ az idő szerint integrálva megkapjuk a szűrő **lépcsős válasz**át. Az impulzus válasz Fourier transzformáltja adja a szűrő frekvencia tartománybeli jellemzésére szolgáló **frekvencia válasz**át. A frekvencia válasz függvényt logaritmikus (dB) skálán is ábrázolhatjuk, az alábbi összefüggés szerint ($A_{be}$ és $A_{ki}$ a bemeneti és kimeneti amplitúdók):\n", "\n", "$$ \\mathrm{dB} = 20 \\log_{10}\\frac{A_{ki}}{A_{be}}.$$\n", "\n", "Ezeket a függvényeket és kapcsolatukat szemlélteti az alábbi ábra:\n", "\n", "![válaszfüggvények](filter_char.png \"a szűrő válaszfüggvényei\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A digitális szűrők alaptípusai\n", "\n", "A digitális szűrőket az impulzus bemeneti jelre adott válaszuk alapján így különböztetjük meg:\n", "\n", "* Véges impulzus válasz szűrő ( **FIR** = Finite Impulse Response ), más néven mozgó átlag szűrő ( MA = Moving Average )\n", "\n", " - a szűrő magfüggvényével számított diszkrét *konvolúció*\n", "\n", "* Végtelen impulzus válasz szűrő ( **IIR** = Infinite Impulse Response ), más néven autoregressziós mozgó-átlag szűrő ( ARMA = Autoregressive Moving-Average )\n", "\n", " - kimenet és bemenet súlyozott összege\n", "\n", "* Nemlineáris szűrő\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A digitális szűrők jellemzői\n", "\n", "Az **ideális** szűrők lehetővé teszik egy megadott frekvenciasáv teljes (veszteségmentes) áteresztését, míg a nem kívánt frekvenciatartomány jeleit teljes egészében (maximálisan) elnyomják. Aszerint osztályozzuk a szűrőket, hogy egy frekvenciatartomány jeleit átengedik vagy elnyomják. \n", "\n", "\n", "\n", "* *Aluláteresztő* szűrők: átengedik az alacsony, és levágják a magas frekvenciájú jeleket\n", "\n", "* *Felüláteresztő* szűrők: átengedik a magas, és levágják az alacsony frekvenciájú jeleket\n", "\n", "* *Sáváteresztő* szűrők : egy bizonyos frekvenciatartomány jeleit átengedik\n", "\n", "* *Sávvágó* szűrők: egy bizonyos frekvencia tartomány jeleit nem engedik át\n", "\n", "Az egyes ideális szűrők frekvencia válaszait az alábbi ábrák mutatják be:\n", "\n", "![ideális szűrők](filter_ideal.png \"ideális szűrők\")\n", "\n", "A szűrő *átviteli sáv*ja az a frekvenciatartomány, amelyet a szűrő átenged. Az ideális szűrő erősítése az átviteli sávban 1 (amely megfelel 0 dB erősítésnek), így a jel amplitúdója sem nem növekszik sem nem csökken.\n", "\n", "A szűrő *vágási sáv*ja az a frekvenciatartomány, amelyet a szűrő teljes egészében levág. \n", "\n", "A **valóságos** szűrők nem tudják teljesíteni egy ideális szűrővel szemben támasztott követelményeket. A gyakorlatban mindig van egy véges *átmeneti sáv* az átviteli és vágási sáv között. Az átmeneti sávban a szűrő erősítése fokozatosan változik.\n", "\n", "További részletesebb információ található a digitális szűrőkkel kapcsolatban Huba - Lipovszky: [Méréselmélet](http://moodle.autolab.uni-pannon.hu/Mecha_tananyag/mereselmelet/index.html) c. könyve [10. fejezetében](http://moodle.autolab.uni-pannon.hu/Mecha_tananyag/mereselmelet/ch10.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Véges impulzus válasz (FIR) szűrők\n", "\n", "A véges impulzus válasz (FIR) szűrők a következő műveletet végzik: \n", "\n", "$$ y_n = \\sum_{k=0}^{M-1} h_k x_{n-k} $$\n", "\n", "ahol $ x_n $ a valós bemenő jel és $ y_n $ az ugyancsak valós kimenő jel. Azért *véges* impulzus válasznak nevezzük mivel az input megszűnésével befejezik a működésüket (tehát nincs visszacsatolás ami miatt a működésük magától vég nélkül folytatódna). Időnként *mozgóátlag* vagy *konvolúciós* szűrőnek hívják őket. A *leágaztatás (tap)* kifejezést használják $ M $-re, tehát egy *10-leágaztatásos* szűrőnek $ M=10 $ együtthatója van. Egy kettes leágaztatásos szűrő esetében például $ h_0 = h_1 = 1/2 $, tehát\n", "\n", "$$ y_n = x_{n}/2 + x_{n-1}/2 $$\n", "\n", "Például $ x_n=1 \\hspace{.5em} \\forall n \\ge 0 $ bemenetre $ y_n = 1 \\hspace{.5em} \\forall n \\ge 1 $ . Figyeljük meg, hogy egyel kevesebb adatunk van amikor $ n=0 $-nál indítjuk a szűrőt, ami azt jelenti, hogy még egy adatot meg kell várnunk hogy legyen érvényes kimenete a szűrőnek. Ez a szűrő *átmeneti (tranziens)* állapota. Egy másik példa az\n", " $ x_n= \\exp \\left( i\\pi n \\right) \\hspace{.5em} \\forall n\\ge 0 $ bemenetre az $ y_n=0 \\; \\forall n \\ge 1 $ kimenet. Ez a két eset azt mutatja meg, hogy a szóban forgó mozgóátlag szűrés megszüntette a legmagasabb frekvenciájú, $ \\omega=\\pi $ összetevőt és megőrizte a legalacsonyabb frekvenciájú, $ \\omega=0 $ (konstans) jel összetevőt.\n", "\n", "Elemezzük ezt a szűrőt a `scipy.signal` modulját felhasználva." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "from scipy import signal\n", "import matplotlib.pyplot as plt\n", "\n", "fig, axs = plt.subplots(2,1,sharex=True)\n", "plt.subplots_adjust( hspace = .2 )\n", "fig.set_size_inches((5,5))\n", "\n", "ax=axs[0]\n", "w,h=signal.freqz([1/2., 1/2.],1) # frekvencia válasz\n", "ax.plot(w,20*np.log10(abs(h)))\n", "ax.set_ylabel(r\"$|H(\\omega)| $ dB\",fontsize=18)\n", "ax.grid()\n", "\n", "ax=axs[1]\n", "ax.plot(w,np.angle(h)/np.pi*180)\n", "ax.set_xlabel(r'$\\omega$ (radián/s)',fontsize=18)\n", "ax.set_ylabel(r\"$\\phi $ (fok)\",fontsize=18)\n", "ax.set_xlim(right = np.pi)\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Az első ábra a szűrő dB-ben kifejezett amplitúdó, a másik pedig a fokban kifejezett fázis válaszát mutatja. Az $\\omega=0 $-nál $|H(\\omega=0)|=1 $ (azaz 1 erősítés), amely kifejezi azt, hogy az $ \\omega=0 $-nál változatlan erősségű a kimenő jel. A másik esetben $\\omega= \\pi $-re $|H(\\omega=\\pi)|=0$, vagyis az $ \\omega=\\pi $-re a bemenő jelet a szűrő teljesen kinullázza.\n", "\n", "Mi történik akkor, ha kettő helyett 8 értéket átlagol a szűrő?" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/tg/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:13: RuntimeWarning: divide by zero encountered in log10\n", " del sys.path[0]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import gridspec\n", "\n", "fig=plt.figure()\n", "fig.set_size_inches((10,5))\n", "\n", "gs = gridspec.GridSpec(2,2)\n", "gs.update( wspace=0.5, hspace=0.5)\n", "\n", "ax = fig.add_subplot(plt.subplot(gs[0,0]))\n", "\n", "ma_length = 8 # mozgóátlag szűrő hossza\n", "w,h=signal.freqz(np.ones(ma_length)/ma_length,1)\n", "ax.plot(w,20*np.log10(abs(h)))\n", "ax.set_ylabel(r\"$ |H(\\omega)| $ dB\",fontsize=18)\n", "ax.set_xlabel(r\"$\\omega$\",fontsize=18)\n", "ax.vlines(np.pi/3,-25,0,linestyles=':',color='r',lw=3.)\n", "ax.set_ylim(bottom=-25)\n", "ax.grid()\n", "\n", "ax = fig.add_subplot(plt.subplot(gs[0,1]))\n", "ax.plot(w,np.angle(h)/np.pi*180)\n", "ax.set_xlabel(r'$\\omega$ (radián/s)',fontsize=18)\n", "ax.set_ylabel(r\"$\\phi $ (fok)\",fontsize=16)\n", "ax.set_xlim(right = np.pi)\n", "ax.set_ylim(bottom=-180,top=180)\n", "ax.vlines(np.pi/3,-180,180,linestyles=':',color='r',lw=3.)\n", "ax.grid()\n", "\n", "ax = fig.add_subplot(plt.subplot(gs[1,:]))\n", "Ns=30\n", "n= np.arange(Ns)\n", "x = np.cos(np.arange(Ns)*np.pi/3.)\n", "y= signal.lfilter(np.ones(ma_length)/ma_length,1,x)\n", "\n", "ax.stem(n,x,label='bemenet',basefmt='b-')\n", "ax.plot(n,x,':')\n", "ax.stem(n[ma_length-1:],y[:-ma_length+1],markerfmt='ro',linefmt='r-',label='kimenet')\n", "ax.plot(n[ma_length-1:],y[:-ma_length+1],'r:')\n", "ax.set_xlim(left=-1.1)\n", "ax.set_ylim(bottom=-1.1,top=1.1)\n", "ax.set_xlabel(\"n\",fontsize=18)\n", "ax.set_xticks(n)\n", "ax.legend(loc=0)\n", "ax.set_ylabel(\"amplitúdó\",fontsize=18);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A fölső két ábrán a szűrő amplitúdó és fázis válaszát látjuk. A fűrészfogak a fázis 180°-os ugrásait mutatják. Az alsó ábrán a be- és kimeneti jelet láthatjuk. A kimenet a szűrő hossza miatt eltolódott. Mivel a bemenő jel frekvenciája $ 2\\pi/6 $, a periódusa $T=6$ minta és így hat mintánként ismétlődik. A fázis válaszból látszik, hogy ennél a frekvenciánál a fázis körülbelül 30° plusz a 180°-os ugrás, a kimenet fél mintával ($ 30/360 = 0.5/6 $) plusz 3 mintával (a 6 minta felével, $ 180/360=1/2 $) tolódik el. Az amplitúdó válasz függvénynek több maximuma és minimuma van azokon a frekvenciákon, melyeket a szűrő kinulláz. Tehát bár csak néhány értékkel növeltük meg a mozgóátlag szűrőt, sokkal bonyolultabb lett a szűrő viselkedése." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Kerék gyorsulás adatok szűrése mozgó átlag FIR szűrővel\n", "\n", "[Vinkó Ákos](http://www.epito.bme.hu/vinko-akos) 3 tengelyű gyorsulásmérő adatait használjuk fel, amelyeket *spline interpolációval* egyenlő, 0.01 s-os időközökre [interpoláltunk](aint.dat).\n", "\n", "Beolvassuk az $a_x$, $a_y$ érintő irányú és centrifugális gyorsulás adatokat és felrajzoljuk." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aint = np.loadtxt('aint.dat')\n", "tint= aint[:,0]\n", "axi = aint[:,1]\n", "ayi = aint[:,2]\n", "n = len(tint)\n", "dt = 0.01\n", "\n", "xlim = [30,50]\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(tint, axi, label='ax', color='b')\n", "plt.plot(tint, ayi, label='ay', color='r')\n", "plt.xlim(xlim[:])\n", "plt.xlabel('idő (s)')\n", "plt.ylabel('m/s^2')\n", "plt.title('kerék gyorsulás, Vinkó Á.')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Végezzük el az adatok 8 pontos mozgóátlag szűrését és rajzoljuk fel a szűrés eredményét" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axf = signal.lfilter(np.ones(ma_length)/ma_length,1,axi)\n", "ayf = signal.lfilter(np.ones(ma_length)/ma_length,1,ayi)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(tint, axf, label='ax', color='b')\n", "plt.plot(tint, ayf, label='ay', color='r')\n", "plt.xlim(xlim[:])\n", "plt.xlabel('idő (s)')\n", "plt.ylabel('m/s^2')\n", "plt.title('kerék gyorsulás, 8 pontos mozgóátlag szűrés után')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### FIR szűrő tervezés\n", "\n", "A `scipy.signal` moduljában található eljárásokkal igen könnyen tervezhetünk FIR szűrőket. Példaként tervezzünk egy aluláteresztő szűrőt. A [`firwin`](http://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.firwin.html) eljárás `nyq=` paraméterével tudjuk megadni a Nyquist frekvenciát, ami a gyorsulás adatok 100 Hz-es mintavételezési frekvenciájának fele, 50 Hz. Az első paraméter a szűrő együtthatók száma, a második a levágási frekvencia. Korábban, a [wavelet szűrésnél](https://nbviewer.jupyter.org/github/gyulat/Wavelet/blob/master/CWT_filter.ipynb) már láttuk, hogy a kerék csúszás nélküli forgásának a kb. 4 Hz-nél nagyobb frekvenciájú jel összetevők felelnek meg, ezért legyen a szűrő levágási frekvenciája 4 Hz." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "a = signal.firwin(61, cutoff = 4, window = \"hamming\", nyq = 50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rajzoljuk fel a szűrő frekvencia, fázis, impulzus és lépcsős válasz függvényeit." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#frekvencia és fázis válasz\n", "def mfreqz(b,a=1):\n", " w,h = signal.freqz(b,a)\n", " h_dB = 20 * np.log10 (abs(h))\n", " plt.subplot(211)\n", " plt.plot(w/max(w),h_dB)\n", " plt.ylim(-150, 5)\n", " plt.ylabel('amplitúdó (dB)')\n", " plt.xlabel(r'normalizált frekvencia (x$\\pi$rad/minta)')\n", " plt.title(r'frekvencia válasz')\n", " plt.subplot(212)\n", " h_Phase = np.unwrap(np.arctan2(np.imag(h),np.real(h)))\n", " plt.plot(w/max(w),h_Phase)\n", " plt.ylabel('fázis (radián)')\n", " plt.xlabel(r'normalizált frekvencia (x$\\pi$rad/minta)')\n", " plt.title(r'fázis válasz')\n", " plt.subplots_adjust(hspace=0.8)\n", "\n", "mfreqz(a)\n", "plt.show()\n", "\n", "#impulzus és lépcsős válasz\n", "def impz(b,a=1):\n", " l = len(b)\n", " impulse = np.repeat(0.,l); impulse[0] =1.\n", " x = np.arange(0,l)\n", " response = signal.lfilter(b,a,impulse)\n", " plt.subplot(211)\n", " plt.stem(x, response)\n", " plt.ylabel('amplitúdó')\n", " plt.xlabel(r'n (minta)')\n", " plt.title(r'impulzus válasz')\n", " plt.subplot(212)\n", " step = np.cumsum(response)\n", " plt.stem(x, step)\n", " plt.ylabel('amplitúdó')\n", " plt.xlabel(r'n (minta)')\n", " plt.title(r'lépcsős válasz')\n", " plt.subplots_adjust(hspace=0.8)\n", "\n", "plt.figure(2)\n", "impz(a)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Végezzük el a szűrést és rajzoljuk fel a kapott eredményt." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axf1 = signal.lfilter(a,1,axi)\n", "ayf1 = signal.lfilter(a,1,ayi)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(tint, axf1, label='ax', color='b')\n", "plt.plot(tint, ayf1, label='ay', color='r')\n", "plt.xlim(xlim[:])\n", "plt.xlabel('idő (s)')\n", "plt.ylabel('m/s^2')\n", "plt.title('kerék gyorsulás, FIR szűrés után')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A gyorsulás adatok wavelet térképéről az is látszott, hogy a 0.10 - 0.04 s közötti periódus tartományban jelentkeztek a kerék csúszás miatti tranziensek. Tervezzük sáváteresztő FIR szűrőt erre a 10 - 25 Hz-es tartományra és végezzük el az adatok szűrését.\n", "\n", "A sáváteresztő szűrőt úgy hozzuk létre, hogy egy megfelelő alul- és felüláteresztő szűrőt kombinálunk egymással." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 201\n", "#Aluláteresztő szűrő\n", "a = signal.firwin(n, cutoff = 10, window = 'blackmanharris', nyq = 50)\n", "#Felüláteresztő szűrő spektrális inverzióval\n", "b = - signal.firwin(n, cutoff = 25, window = 'blackmanharris', nyq = 50); b[n//2] = b[n//2] + 1\n", "#Kombináljuk sáváteresztő szűrővé\n", "d = - (a+b); d[n//2] = d[n//2] + 1\n", "#Frekvencia válasz\n", "mfreqz(d)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Szűrjük az adatokat ezzel a sáváteresztő szűrővel és nézzük meg az eredményt." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axf = signal.lfilter(d,1,axi)\n", "ayf = signal.lfilter(d,1,ayi)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(tint, axf, label='ax', color='b')\n", "plt.plot(tint, ayf, label='ay', color='r')\n", "plt.xlim(xlim[:])\n", "plt.xlabel('idő (s)')\n", "plt.ylabel('m/s^2')\n", "plt.title('kerék gyorsulás, 10-25 Hz FIR sáváteresztő szűrés után')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A kerék megcsúszások (különösen az $a_x$ komponensben) ismét láthatók, bár jóval kevésbé tisztán, mint a wavelet szűrés esetében." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Végelen impulzusválasz (IIR) szűrők\n", "\n", "Az IIR szűrők esetében a szűrő kimenetét visszacsatoljuk a bemenetre, és ezzel a rekurziós eljárással végtelen hosszúságú impulzus választ tudunk létrehozni. A szűrő egyenlete az $x$ bemenet és $y$ kimenet között teremt kapcsolatot:\n", "\n", "$$ y[n]=a_0 x[n] + a_1 x[n-1] + a_2 x[n-2] + ... + b_1 y[n-1] + b_2 y[n-2] + ... ,$$\n", "\n", "ahol $a_0$, $a_1$, $a_2$, ..., $b_1$, $b_2$, ... a szűrő együtthatók. Az ún. *egypólusú* szűrő esetében csak az $a_0$, $a_1$ és $b_1$ együtthatók nem zérusok. Ezek szűrő egyenlete tehát\n", "\n", "$$ y[n]=a_0 x[n] + a_1 x[n-1] + b_1 y[n-1].$$\n", "\n", "A rekurziós szűrőket a *z-transzformáció* segítségével lehet igazán megérteni. Ezért a következőkben ezzel foglalkozunk." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A z-transzformáció\n", "\n", "Egy $x[k]$ diszkrét sorozat *z-transzformált*ja\n", "\n", "$$ X(z)=\\sum_{n=-\\infty}^{\\infty} x[n] z^{-n} .$$\n", "\n", "A $z$ komplex változó tartománya két poláris változóval, $r$-el és $\\omega$-val adható meg:\n", "\n", "$$ z = re^{-j\\omega}.$$\n", "\n", "Az IIR szűrő z-transzformáltját úgy kapjuk meg, hogy a szűrő egyenletének mindkét oldalát transzformáljuk. Az $x[]$ és $y[]$ z-transzformáltjait elosztva egymással megkapjuk a rendszer *átviteli függvény*ét:\n", "\n", "$$ H(z) = \\frac{Y(z)}{X(z)} = \\frac{a_0+a_1 z^{-1}+a_2 z^{-2}+a_3 z^{-3}+ ...}{1-b_1 z^{-1}-b_2 z^{-2}-b_3 z^{-3}- ...}.$$\n", "\n", "Jól látható, hogy a szűrő együtthatókból az átviteli függvény kiszámítható. Az adott szűrő esetében az $a_k$ ill. $b_k$ együtthatók száma a szűrő *rendje*. Ha a szűrő rendjének megfelelő $z$ hatvánnyal beszorozzuk a tört számlálóját és nevezőjét, akkor az ott szereplő polinomokat gyöktényezős alakban felírva\n", "\n", "$$ H(z) = \\frac{Y(z)}{X(z)} = \\frac{(z-z_1)(z-z_2)(z-z_3)\\cdots}{(z-p_1)(z-p_2)(z-p_3)\\cdots}$$\n", "\n", "kapjuk, ahol $z_1$, $z_2$, $z_3$, ... a *zérusok*, $p_1$, $p_2$, $p_3$, ... pedig a *pólusok*. \n", "\n", "A $H(z)$ függvény komplex, de az abszolút értéke, $|H(z)|$ jól személtethető egy térbeli ábrán, hiszen a komplex *z-síkban* egy felületet határoz meg. A zérusokban a függvény értéke zérus, a pólusokban pedig végtelen. Példaként rajzoljuk fel a \n", "\n", "$$ H(z)=\\frac{1-z^{-2}}{1+0.7725z^{-2}} = \\frac{(z+1)(z-1)}{(z+0.85i)(z-0.85i)}$$\n", "\n", "átviteli függvény abszolút értékét. A zérusokat kék körök, a pólusokat piros x-ek jelölik.\n", "\n", "![átviteli függvény](Hz.png \"átviteli függvény\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Az IIR szűrő frekvencia válaszát a z-sík egységköre mentén kiszámított függvény értékek (az ábrán piros szaggatott vonal) adják meg. Az ![pz-ábra](pzplot.png \"Pólus-zérus ábra az egységkörrel\") az (1,0) pontban van a zérus frekvencia, a (-1,0) pontban pedig a Nyquist frekvencia (a mintavételi frekvencia fele). Mivel az átviteli függvény szimmetrikus a valós tengelyre, ezért elég a felső félsíkba eső részével foglalkozni.\n", "\n", "Rajzoljuk fel az említett szűrő frekvencia és fázis válasz függvényeit! A szűrő együtthatói $a_0 = 1$, $a_1=0$, $a_2=-1$, $b_1=0$, $b_2=0.7225$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/tg/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:4: RuntimeWarning: divide by zero encountered in log10\n", " after removing the cwd from sys.path.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mfreqz([1.0,0.0,-1.0],[1.0,0.0,0.7225])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jól látszik, hogy a szűrő sáváteresztő, és fázis válasza nem lineáris. A nem lineáris fázis válasz egyébként jellemző az IIR szűrőkre, szemben az FIR szűrőkkel, melyek lineáris fázis válasszal rendelkeznek.\n", "\n", "A `scipy.signal` modul két eljárást tartalmaz az IIR szűrők tervezésére: [iirdesign](http://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.iirdesign.html) és [iirfilter](http://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.iirfilter.html). Tervezzünk Csebisev II típusú IIR szűrőt 4 Hz-es levágási frekvenciával az `iirfilter` eljárással." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "b, a = signal.iirfilter(17, 4.0/50.0, rs=60, btype='lowpass', ftype='cheby2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A szűrő 17-ed rendű és legalább 60 dB-es elnyomással rendelkezik a vágási sávban. Kirajzoltatjuk a frekvencia és fázis válasz függvényét." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mfreqz(b,a)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nézzük meg ezzel a szűrővel is a kerék gyorsulás adatok szűrését." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axf = signal.lfilter(b,a,axi)\n", "ayf = signal.lfilter(b,a,ayi)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(tint, axf, label='ax', color='b')\n", "plt.plot(tint, ayf, label='ay', color='r')\n", "plt.xlim(xlim[:])\n", "plt.xlabel('idő (s)')\n", "plt.ylabel('m/s^2')\n", "plt.title('kerék gyorsulás, IIR Csebisev II. 4 Hz aluláteresztő szűrés után')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Végül pedig nézzük meg a FIR és IIR szűrés eredményeinek az eltérését." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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IgnCSIYJcEHzw2GN8OzERva35eWB6Ono7Kx7TFRdBLgiCIJzEiCAXBsY99wDnnQccOjTonnRHC/L9+6O39ZSnAGNj0dtZ8YhDLgiCIAgARJALA+T1rwfuvBP4wQ8G3ZPuHDjAt1GjzkoBe/fy/fn5aG2teBYWWvfn5gbXD0EQBOGk4pJLLsG5556Ls88+G5/61Kfwmc98Bn/xF3/RfP3Tn/403vzmN/e1T1KHXBgY2Szf7t492H74YXaWb6MKctMIfvRR4MlPjtbeisYse2iKc0EQBGH1c+WVwN13x9vmU58KfOhDXd/22c9+FmvXrsXS0hLOP/98fP/738fVV1+N97///Uin0/jc5z6HT37yk/H2rQsiyIWBcfQo366EyIo2cKem2OUmCtfOsWOt+yd9SmNpiT/IXE4EuSAIgtA3PvzhD+Paa68FAExMTGBiYgLPfe5zcd111+FJT3oSqtUqntxnx0wEuTAwdAzEFKnLFe2Ql8s8h02xGK4dfRICiCDH0hKL8WJRJgYSBEE42fDhZPeCm266CTfeeCNuvfVWFAoFXHzxxSiVSrj88stx9dVX48wzz8Rll13W936JIBcGQr3eErmmSF2O1Ots4G7axG7+3Fx4Qb7qHPLLLwcyGa4JGZSlJSCfBwoFccgFQRCEvjAzM4OxsTEUCgU8+OCDuO222wAAF154ISYmJnDXXXfh3nvv7Xu/ZFCnMBDMMXzLXZDrvm7ZwrdRtOOqmgtHKeAznwE+/nGgVAq+vBbkxaIIckEQBKEvvOhFL0KtVsM555yDd73rXbjooouar73iFa/AM5/5TIwNoBSaOOTCQNDueCoFzMwMti/d0H3dvJlvo1RHMU9EVnxhkcnJ1v2DB4EnPCHY8qZDLpEVQRAEoQ9ks1lcf/31rq/99Kc/tVVb6ScDdciJ6LNEdISI7vd4nYjow0S0h4juJaKn97uPQm/QInfr1uUvTJ2CPIqZq7c1kVgFGvTIkdb9gweDLy8OuSAIgrAMmJ6exhOf+ETk83k873nPG0gfBu2Qfx7ARwB80eP13wawy/q7EMDHrVthhWMK8v37gVqN3fLlSNyCPJ0GhodXgSA3MzdRBHk+3/dA/ewsMDLS11UKgiAIy5TR0VE89NBDA+3DQB1ypdTNADolaV8K4IuKuQ3AKBFt7k/vhF5iCnJgeU+So/uqM+RRIyvDw6skpRE1EK8FeTbL5Wv6xM9/DqxZA3z5y31bpSAIgmChlBp0F0LR634v90GdWwFMGI8nredsENHriegOIrrj6HIfISgAaBfk+vFyRMdM4nLItSBf8SkNU4SH2YEDEuQ//SnffvWrfVulIAiCACCXy+H48eMrTpQrpXD8+HHkcrmerWOZhgSauE2/0rYXlVKfAvApADjvvPNW1l4+SXEK8uWcI49zUOf8PAvyVGoVOORmzGQFCXJ9VbJS6dsqBUEQBADbtm3D5OQkVqJ5msvlsG3btp61v9wF+SSA7cbjbQAODKgvQoysxMjK+vV8G0U7LiywO55OrwJBvrjIo1MLhRUlyPVY1ImJzu8TBEEQ4iWdTuMJQStynSQs98jKdwC8xqq2chGAGaVUiNFjwnLDKXKXlgbXl25o4bx2Ld9G0Y5LS6xfV0WGXG/MmjXhBXku13dBridnMovE4AtfAJ79bGB6um/9EARBEATNoMsefg3ArQDOIKJJIvrfRHQFEV1hveV7APYC2APg0wD+eEBdFWJmdhYYGmrNeLmcBfnSEhvBQ0P8OMwcOGZburDIihfki4u8ISMj0R3yKB9qQLQgn5kBGg3ryX/8R+Dmm4Ef/ahv/RAEQRAEzUAjK0qpP+zyugLwpj51R+gjuuxcPs+Pl7MgL5W4n8kkZ7+jOuS6rRWfYdYO+dBQuMyR/jCifqgB0YJcKR67sGYNgOPH+cl9+/rWD0EQBEHQLPfIirBKWVhgd1wL8j4apIHRuhGInq7QpnIm01cN2hsWF1mQ5/PBz6iUap3p5HJciL5pVweg0QCe+lTg6qt9LzIz04pKNRMquv/79wfvg8n99wP/8A+8fYIgCILgExHkwkDQwnQlOOSmIM/l4omsZDKrwCE3d2LQHag/RB1ZAcKdoezbB9xzD/COd/h6e6XCf9utoeLT0wDq9VaZH22fh+XP/xx4+9uB//qvaO0IgiAIJxUiyIWBoIWpLum53AW57mdUh9yMTa94Qa4jK30U5OUycP31xhO//GXrfq3WdXmdrNHVfWZmYM+/Rx3UqUu3mP0SBEEQhC6IIBcGgjm4EVg5kZU4HPJCQRzy5sZns4EE+RveALz4xcBdd1lPHDSKLh3oXhFVG+EbN/Lt4iIsVW4RVZDrz+Gxx6K1IwiCIJxUiCAXBoJTkC93hzyODHm9zjp01WTIozjkWpCn04EE+Y9/zLd33209oQdjAsDhw12X1w65qyAnsk92FAbdn8nJaO0IgiAIJxXLfWIgYZViFthIpVaWIA/rkJspDZ1lXtFEccirVb7NZLimJOBLkGvtvmeP9YSZ+fbhbmuHfMMGvrUJ8h07ognyxcXW5zA1Fb4dQRAE4aRDHHJhIJgiN4ye6yfOyEpYZ1tvo3bI63X+i8ygrHbtkOdyfXPIdSqlOetyQEGuHXJXQb5tW7QpY023XiYYEgRBEAIgglwYCHHmsntNXA65ngjIHMeojeLQ3H47f4Bf/GLEhkLgdMiDlPozHXKfgrxUajncTUE+Pd2aQtWHu63PG8bHjcdaPG/eHO3MULvi6XT06IsgCIJwUiGCXBgIK8kh1+WygXgccj2oE4ghtvK97/HtN78ZsaEQmHXIgWAb4+aQdznTMYuhNAX53Bxwyil834crrVehNbzNId+8mSu1hD1LWljg223bxCEXBEEQAiGCXBgIK0mQO8sehnXInZEVIIa0iS6v11SofaLRaJ2phBmZazrk+sPt8mFodxww0iHz8zxCM5m0V0vxQO+7kRGOrtsE+aZNfBv2YNSXQLZuZYdcJgcSBEEQfCKCXOg7ZrURYGUI8l5kyIEYHHJdXq/fU75rZWs65EF2YogMuXbIx8cNcT43BwwPcz98rN8cWFsoGII8mwXGxvhFLayDoh3yjRvZaV/xo3YFQRCEfiGCXOg7pigCepMhv+464PnPjz4TOhBfhtwU5FqDRtZseiKaY8cCObKRzVtzY6I65D4FuRbhW7ca8RVTkPsQ0nrf5XLGIrOzbJnr7QgryPVy69fzrRbogiAIgtAFEeRC3zG1nL6N2yH/+78HfvhD4NvfjtaOUvYMeZQ65LE75Epx7e1Mhh1ZM2TdgW98g/Xnz38eYdULlvgcgEO+dSsnVep18J3hYe6DDyGtu2gT5LpaTKEQfDtMtADXJVxEkAuCIAg+EUEu9J1+CPKHHuLb22+P1o6bmx9WkJtVVmLJkC8ssBDftYsfmyUAO/CJT7CO/frXw632Pe8BzjrVsJoH4JADwPyc4ieHhgJHVrJZQ8Ob1WKA+BzysO0IgiAIJx0iyIW+02tBPj/f0qZRIyvOvsY1MVAsDrmu5HH66Xxr1sHuwO7dfPvgg+FW+973Aom61XGtbIGeO+RakG/bZj0+UWObXLvbPiMrejIqm0OuQ+VBt8NEO+ISWREEQRACIoJc6DtOkRtmXplO6PGN2WxrzGNYzIiDvg3rapv55Vgy5LrW9c6dfOsjslKpAAcP8v0oJysZGIK6Tw65GVkBgPljDpfepyDX+7JNkAd0yG+8EfjjPzby+IuLAJGjpqIgCIIgdEcEudB33AR5nAUpDh3i2/PPBx5/nCv0hUVrRLPsYb3OSZGwbWWzMTnkWpBry9iHI3vgAAvIQqE1HjQMTUGeyfTVISdqTepTnnGUTPEZWTEF+dIS2h1yn0L6BS8APv7x1hUHLCwAxSL/6ceCIAiC4AMR5ELfMSfIAVjTxTn7uy7JfdZZLJ59lKf2xBTRgO+S2V3bilWQb9/Otz6mfddTzz/lKew4B50DR29DGobDHdUhT6ftz3kwO9uKiwNAZca4fBGHQx4ysnLnndadhQVuQwS5IAiCEBAR5ELfcTrkmUy8DrkW5E96Et/6HOvoilOQ+5xUsmtbsQzqdDrkPgS5jpnr2HnQkxW9SleHPMiHYjrkPgX53Jy9OmFl1q2GYWfMijlRIivmfnv8cbSWMx3yOCIrt9/eyhgJgiAIqxYR5ELfMbPUAAvUOAX5sWM8C2PA4iOuOAW5T+3YsS0zNh1rZMWHIJ+a4tvTTrM34Rct4G0Zcp+RExumQ55M2p/zYHa2VeEQAKpzDkEeMLKSz1smdoiyh6ZGbgpy7ZDrdqI65Hv3AhdcADz3udHaEQRBEJY9IsiFvuMUuTqyEtdM4ydOAGvWtMpBLxdBXirxthLFWGWFCNiyhR/7EIBakJ96Kt8GFeRaq9oiKwE2Zm7OGpxpOuREfNvlQ9UGtKsgDxFZaZ4IhnDIjxxp3W+Kc6dDHlWQ/+AHfPvgg9FyV4IgCMKyRwS50HfcBLlS1kQvMTAzw4J8ZIQf+5wvxxW3vgLhHXJnO5Ed8jVrWpVOfDrkRMCOHa0mgqCvbtgiKwEc8j/8Q+5yZd5YHvAlyLWY1rq5Nmdkn0I45M1JnrQg1y/4EOSmPm7e14M6Aw4O9aQ5WhTAnj3R2jL5t38Drrgi3MhkQRAEoSeIIBf6jlcuO67Yip4JfXiYH/vQqZ6YMROg5ZCH6Wu53NJ8sWTI9ZkHwELQx4ZOT/Mi69a1HgehTZCn04HOLv7zP/n2+KFqa3l9G1CQ1xccDnm53PWsrqNDTuS7KL4W4Zs3G5/h4iKLcZ2Lj+qQmyL80UejtaWpVIDXvQ745CdbDrwgCIIwcESQC33Hy3WOS5BrnTo0xI/1hDJhiDtDHus264gEwBvrQ5DrRcbG+HHYyIrNIdcfSpezC1Ofzh6r8Ow8RPxEGEG+6MiQmx3s0obuuqpWWcS3jfTsjL7qsmOHiyDX7QQU5N/6Fv81mZwEfv3X+X6UGpUm99zTun/zzfG0KQiCIERGBLnQd7wEeVylD7Ug11o1ikOuBXPcgjyWqwJ6ECHAgtyHANSpirCCXDvkhZSRIScy8h/eHD7cuj9/otr6MAG+3+XDcCZLGgvBBfnSkt0hz8OlKL6PA1E75KecYghyU+0Xi4EiKzMzwKWX8p+uEoRDh4Azz+RBrz5nYe3KvffybS4XfqpWQRAEIXZEkAt9p9cOuY6sJJOs0+J0yKP0tacOuc/IitbwuRz3IWxkZbRgRFYAX7UrTU1ZXai0PgTdjk+HXJ8DqEVHHXKgqwh2OuRtgtxnUXwtyLdvNzLk5g4uFgM55Hfd1bp/661g1/7IEc7ErFsXemTyAw84jPA9e/izfsELgIceCtWmIAiCED8iyIW+Uy6zoEql+HHcGXIzWj08HE+GPG6HPEoWvYnTIfcpyItF/vzHxsI75CN5x6BMHw65Kcgriw6HPJPxLch11FstOWbqBAIJ8mwWKGCx1Ybuh4+dMj/Pi6xbx5tdKsG+g31m0TXauAaAX/0KPPq2Xgc2buSpSUMK8mc8A3j2szn9AoBLKe7YwX9S31wQBGHZIIJc6Dtat+j4cC8cci3IfepUT3olyBPWNy9SoQszsxwwQw7wyUrQqwdaYw5njciKvg3gkNcXwzvkgEOQ53KtF3xkyM2rFG0OuY8TC91OPg+MjvLj6WnYd7DP6Itm3z7ehWvX8v3mmdLataz6Q0RWpqdb+/dnP7OePHSIy2Ru2sTriHOKXEEQBCE0IsiFvmPqFiDeDHmpxLpQlzwcGupNZCWqINeltyMJcm13A74jEiEWsdF0yHPBHXKtMXfuBGpLLhnyLh+qmf/O52GfYcrnZZZKxZ7jd42s+Dgz1Hl2T0GezQaauXT/fs6j79zJ95tZotHR0A65mUi5/37rzuHDXKB/48bW49WAUsBllwF/+ZeD7okgCEIoRJALfcdLkMfhkOs8b68jK2H6arqzAEd2YnPIA2bIAd/jQG1ojTmUtT4AnTvykb3W3du+HVCVYA65UvZp7/N5gEqWmM5mAwly8xwirEPeJsinGrwzTYc8gCCfnOQJVzdssAZ1xiDIH3mkdb9ZpOXwYRbjmzbx40OHAre7LHnkEeDznwc+8IFAn7sgCMJyQQS50HecgjxNTin2AAAgAElEQVTODLkuRxenQ27m3eOKrADcZph2mpj5E58RiTgcciKuslJBupU7ahb19mZ+nt8+Pg7e8AAOebXKotx0yKlcamWffFxmUYo1szkONQcjh66f9HEg6viMPvGbPeo4cwsoyI8dA9av53TK1BRaglwXjT92LPBUtjoifvrpVoa8XOZ2V6Mgv/vu1n3zTEQQBGGFIIJc6DvmBDlAvA65U5DH4ZDrqh5AdEFubnckh1wpu0Pu09kNUZjFhhai2UQFFRgOtw+HfGGBT5CGh4FENZhDbqZTAEuQV0p2Zxvo2Af9Wet9mM0CWbjMUhXAIdfH2cKUiyAPkME6fpxPVJpxcX2pRzvktVrgKWcPHeLunH028PjjaNVTXI2C3BThe/cOrh+CIAghEUEu9J1eZsi1wNSTAkV1yM3MMRBf2UMgYoa8VGJRbjrk+jkPlIrukGshmqUKqjAcbp8OebFoVXmpBXPIl4wKhwD3IVlx1DAEOvah4oi9ZzIugjxghlx/lqUZF2Hv0yGvVFhrj4/zGM6ZGaA+ZURWdC6mWV/RH4cOse5ev95KvOi8+MaNnI3Rb1oNmFn4ffsG1g1BEISwiCAX+o4zSx2nQ64FpllJJKpD7hTRQHyRldCCXG+o6ZDrTIYHWq+bsfMwkZVcDshQFRVkWjPV+3CWtUM+NAQk6pVAgtzpkOdyQKLqqGEIdOyDbj5Oh1wfZ+XZ8JEVXUBl3Tr+A4DSoWkupF8s8kEMBD6zPHq0FYM5fhxQhwxBnslwu0HrXi5XDh/mEbGJBNdvFwRBWGGIIBf6Ti8z5E5BHkfZw2UpyHW9bb2hPgSpc5FIglxxZKW5z3wO6mwK8kYNKhVckJuDOlPVpUAzLTkFeRSHXH8O+kpMZS58ZEULcu2QA0DlyDQ740ShBfn0NNeaX7eOt730uKH8Ac6nB50Zarly+HBrEqXmVKeCIAgrBxHkQt/pZWTFKcjzeZ5fJezgyV4L8tCDOp0OuXaKO7iyzs9Gz+7eaPhfrRaiacWRlWb/fURWdFxmaAhIoo46pVovBnTIs1kgVXfUMAQ6HkTOyEocDnk+z5q5TZAHiKzoAiqmQ147Om0vFQSEEuSjo602Fw8YMRiA2w8Yg1m26OoxGzaIQy4IwopEBLnQd3pZ9tApOn3o1I7E2VdnW1dNvx1v/q/fCVw9A0DL7jYjK3olHrgJciDQhJLN0oOpRniHvFgEUqihFlGQJxpVeyAc6JtDrgU5Ee+C6rxHZMXHvnVzyBsnplvCWdvwAQX5iRP2CHrlmKMm6GoT5Bs2GIF5QRCElYUIcqHv9DOyoiMOQUSnSVwOeaPByzTbUgqvn/oHPP3gfwIPPBC8Y84NDSDIzQy5+bwf9OQ8KcUZ8jAOeS7HgrwRQJA7B3VmMpZDbgbCgfAZ8gATHAH2mujFIlCdK9n7kcvxTveRSdL6UVdZAcCjPM1SQUDg7JWOrOjF68eneefrbR0dXR2CvF7nD3HjxtV1kiEIwkmFCHKh7/TDITezxsDgBblzgiHbYLrdu4N3zOmQ+7gUoD8Dc2IgIJgg15GVVIMjK2Ecci3I64nwDnkm43DIfZzV+YqsBHDIdV+KRaC24OKQA77EvTkHkDavEwvzrR0UIrKytMSrHh1tLa6mjBgMsHoy5MeP85WIDRv4JCZgeUhBEITlgAhyoe/0OkNeKHCxBSD+yIqeICisIG/WIdeztgDAww/7bmdyEvjv/4Z7hsNcUYc+6LeGcci1IE9akRWbQ+6jykqxaOW/UUNdJVsvBhzUmckA6YbhkOvbAA65LbJi2ublctfykTqyAvA21RddMuRmxzswN8fHq1m1JVFetJcK0m/0iSnyta7H7EwrvwKsHjdZC/A1a1iQr4ZtEgThpEMEudB3eu2Qax0DxOOQm/PXELF2C9rXNof8wIHWi6Y478LllwPPehaw/yEPAdhjQa73XbIRPLJiOuSugzo7LF9yJEKyWSCljMmFEgluw4cgdzrktVS2NfNTJsOKu1nPsZ1ajdMoHQV5gDPBuTnW3ETWZ5sEUuUF+9WPZDKUIDcjK4nZaXdBHmYMw3JCR3mGh3mbZmdX/jYJgnDSIYJc6DteMZA4BLk5EyXQEk1hHXLnxEBAVzPXlTZBbk7IEqAqxA038O2Dd7sU5gY6bmgcgrxSaeW3gwzqrNe5a2aGvAZDkGcyHT9UZ98zGc6xK/NsqUvcRL9kOuQZVFBPugxo6LAt+uTOFOSNpfCRlXkjnUJkDXqtGAcyUeAZrnQiyoyspOYckZXRUaseYsgvx3JBfy5DQ+yQ1+utSJcgCMIKQQS50HecgpzId3S3K06HXOuiuDLkQEyC3LIw9+fPsM8y2IGlpZbxd3hiMA551ZpgM1n3KHvo4UzqdZgZcpsg7/Khus2ymUEFjaRjttAQgzprqWCXawIJ8gAOuWZoCMhUHQfy8HDkyEpq0SWyYr55pWJOz6u3SXLkgiCsMESQC33HTeT6GBPoi15EVtz6GjmyYomgidwu3xOZTE627s8fjZ4hD2DiNtGCPNGotg/q7DBTqDkGVWfIgwhyZ9wkkwHSqKKR8u+QO9tIJoEcyqglwjnk+vMbGgJUKVqG3BTkI4Ua5+N1ZAWIJMgzGSsvv+QSWQFWfubajKzoyjQrfZsEQTjpEEEu9BVdCa45uNEijOvshpcgj2tQJxCfQ76YHMKJ5Lhv8fDYY3w7Pg7MTwV3yN1y2ObzftCRlUSjZnfIu4zMNQdlNh1y56DOet3TYXerkJJBBY2Ef4fcGVkBgHyyjGoymEPuHGBaLML7bMfHh2tGVgBgvOCYUhVgsRmg7KHW7lroDxUVciVHZEWL14D1zZcdZmSlBw55qQTcdJPE0gVB6C0iyIW+0iZMLXolyJdtZOXECSykRzFH/su0aSP9gguApROOsi0hMuRhKtA0HfJ6FTWkWp+DVrkeDrlZFEYP6qw6HXK9Ahe889+GQ95lYKkzsgIA+UQZ1YgOuU2QO/eHj8sPTod8PO8oGA8EzpCbpjEArBuuINWo2lcUJrO0HOmxQ/7GNwLPeQ7wrW/F1qQgCEIbIsiFvuIlyCNNI2/Qr8hK0L463WlMT2MpvQazZFWF8DF//dQU3z71qUCyVoJKJFp1GCNEVkIJ8gZHTpr6t4ugNrdfO+RV5V+Qe0VWaklHZCVAlRUAyJFDkPtwyPVLpiCnSrTIiumQj2VdHPJCIdBBrDWqbqIp8s029f2AEw65oRTwm78JXHWV48l+2Mo9dsh/8AO+/d73YmtSEAShDRHkQl/p5JD7mNSwK/2KrETOkC8soJQexhxGWLT4cClNQZ5FGY10MGc3gonbpOWQOyIrPgV5LtfKkFcbwR1yff7RdMgpWmQlR2VUKdi0sc528nkgrRwzfgaMrJjG9VjGRTwXCoEqh8zPc7+SVipofaGDII/BIX/gAeAnPwHe/36rYuTsLPCUpwBvfWvktrsyP887I5OJ3SGfmgIef5zv/+IXsTQpCILgighyoa/0I7JiXulv6qKFOvCRj/geQAmwTnbWIQ/b17aJgRYWUEkXMKP8C4jjx9kEPOUUIIcS6mkjiO8zsmKa6mEccp0hJ8shDyPImw55wMhKOt0qF57NejjkASMrOZRRcXPIfQh7/dZ8nk8OlLODQKhBnaMZxyyseiUBHXLXGIwpyMNM1erBffe17k9MALj+en7yAx8If3nKoNHo8J0zNzbEJEqdeOQRvt2+vXVfEAShF4ggF/pKvzPk2iEff+gW4E//FPj93/fdlnbse5IhX1xEJV3ENPxfYj9xgid62bDBKtcXsH6226yjiYR/Qa7HXKbTANWDRVbME5KmQ153DOrssLw+EdBk0iqwQ+4WWckivENuCvI0qkDK0ZcO26Op1VivmpGVNanoDnlbDMbNdY/RId+9u3V/zx4AP/tZ64kYrOUXvhA47TR7+f4m5sbqbYqpDrkW4c97Hn9FV3qFSEEQli8iyIW+0ktBXquxWDI1RzLJba+dvJef0KVKIvQ1kwEqZQV8/vO+Z9l0i6zU0gXMNCyH3Icgn5vjK/IbNrBDXkkYDrkPZ9et/ns261+Qmw4z1TwGdfpwyJNJFuSVAJGVatUhpFN1JKBQpfATAwEsyCsUzCF3CnvtkDfSjr6YK/VAa2Fb2cOky6DOEJGVriI/RkG+f3/r/tGjYFWu+//QQ5HafvBB4Ic/ZOf9y192eYPpkGetWVdjFuTPeQ7fmtspCIIQJyLIhb7SS0G+4KI5ABaBQ8f38YMAQfVOA1A3zu0BLrsMuOiicG0tLqKSKWJa+a8FrUVWsQgUkmVUEExdu+Xhczn/gtwUtGRlyMMM6kSjgQRUIEHudMizCX5fNeGoshJgYiAAyKCMsinIu/RD9wVod8iV6ZD7EPaAfTyiZiTFYrKWdVzqMWeG6oJTkA8nXQaK5nJ83MQgyA8eBHbu5PvHjwPYuxe4+GJ+IqKK/clP+DaRAG6+2eUNpkNOFPjkpRN79gCbNwM7dvDjY8diaVYQBKENEeRCXxmEIM/ngeyCNSLy4EHforxTX3fOBnPcXR3yTAHTARxyU2SNZMpYgqOYexdBGlWQm86wjqyEcch51B8CC3Jb9jvBqrgGR0wkwMRAAJBVjhObAILcHNSZQaV9kiLzzR4susTFh4gP5AU4Iit6UIMPnBny4YTLl4OIH8cgyA8cAM4+m+8fPw6exeq001jNRhTkDzzA3XzZy4Bf/crlDc6zj5i2CeB/F9u2ce1/wNo2QRCEHiCCXOgrgxLkOS3IAd8VGJxOqCaVAjYt7m094aNkoZtDXssUcaLuf1CnqTuGMyUs1YNNIeolyP1WWbE5zLUIgtw6IYrFITcjK+l04CorGZRRhqONDv0w23E65I2kS4a8iyDX4x31WAcAKIBVeinhGNRpLtAFp0bVIr/tyxGTeD14kAc+rlkDzBwu8fG8cSNbyxEF+Z49wK5dwJlnAo8+6vKROkfFxuiQHzkCrF/fEuTikAuC0CtEkAt9pa0et0WvIyv5kiHIT5zw1V4nQT5SNqq1HDnStS2bIK/XgXIZ9WwBU3X/gzpNkVVMlbHoJsg7fIhxOeTplAJVq6EHdWpBXg4wqNOZIc+AV1w1HfIutTNdIyuNMsohHXKnILdNUqTbCSHIs+AdsgRTpVvi3KfQdA7qLIK/HPVswf7GoaHIdcgrFRaqW7YAo6MADh/mFzZt4pJAEQX5ww8Dp58OnHEGf3Xaqp04zz5iFORHj/KYjbVr+bEIckEQeoUIcqGvaH3SC0GuxU3BoTnyeaBQmmrV+/MpyN0EnH48WjVEuI/2tOjNZNAUC7VsEdM1S0gEFOSFRAlzNUdkpUuB9FKp/XMPMqizKURTfEUgqkNerrs45B79d0ZWssTvqzjd7Q4HUbXKh4CuTAhw/fCyii7IM6ignjA6mEzyXwhBnlOWIG8Y/QooyJ2RFS3IS8n4HXJd+WTzZm4uc8IS5Bs3siCfmAg9QVCtxnH0XbtYkAP2ii4AXDY2HtdfKRbk69fzYbFmjURWBEHoHSLIhb7Sy8iKm7jRj4cqU2yzAZEFeSoFjFYNh3xqCt3Q9cyJ0BQL9WwBlXqSVaqPKML8fMv9z1EZC7XBOOSZBAvq0IM6rQx5uWYIcq1u/ZY9JH5fEEHuFPUAkFYVlAI65G5VVtKoop5wXErpMnMo4H4SmVUl1JBEyfx8IkZWCoqPuaVE/IL8wAG+3bKFm8vNGIJ8wwb+4EPWBZ+YYFF+2mnAqafyc/v2Od7kvBwQk0M+N8e7b8MGfjw+7nDIv/lN4JxzuAyMIAhCRESQC32lH4I85zCOczlguDrV+kX3WUy4kyAfqU21pun2IfDLZaNfllioZwtc2zuf7yoglOLt08Itq0pYqOfsCY0uDrmtDxZhBHk2ySttUDCHPJWyZo7s5JAHjKxUlCOy0kVI2/alUsg0yiiFdMj1W3M57k8t4ThQumT6AfeTyEyjhBJy9v0SwCGvVtvLf+YbCyghi6VK0v7mGAS5rvypBXlh1rLMN25kexkINCGXiRb727ZxbCSbbc2cCYCPpVKpJxly3WW9CevWOQT5O97Bkx/90z9FXpcgCIIIcqGveOWy4xDkWsA4HfI1mSVkGyUedQb4FiCd+lqoz7VqofkU5GaFFQCo5yzF5ENA1GosyrWg1tln21jQkA550EGd2iFXqWCCvHkyYAlymwMcdGIgyyEvq2CRFdu+tN5basSTIa+RQ5B3qfoCuAvydKOMEnJ2MzyAQ77oVuGwvoAFFNsXj9Eh15GVoQXDIY9JkG/ezFeXtm51CHKdf++BQ+4U5OPjRmRlYaFVX/2GGyKvSxAEQQS50Fc61fbuVWRlfdKKlAQU5J0c8kJjnm07wJfjbhPDllhQ+ULrtouAsGWwAaQs0WZbtQ+HPI465FoMq6T/QZ1ugjxK2cO04hWXG/4d8rbIinUwhnHIEwnL7UcrQ26r+AKEdsjT9WgOuetA0foiFlBsXzwmhzyZZOFaKABDpaM8g1U2G1mQm+474FOQx5Qh12O1dWRl7VpDkO/Zw7cXXMAlHiVcLghCRESQC32lU2QlwJw9rjhFq2YtWQ62FtAxCPJiY46rSAC+RJKbQ97Is4UZRJDrNlK1EsrI2gV5nzPkKplurU4PmO1QZaVNkAeosuJ0yJuCPKBD7ibIl0I45GZfmg454omspOu8b8MKcv0WWwym6uGQ5/P+DwAPJiZYMCcSrIWL5RPA2Bi/qNVsBEGeTnNcBOD1aNccQEuQ9yGyMjJiROG1IL/0Ur69997I6xME4eRGBLnQV3oZWfFyyJtTkY+PB5qZsFOVlSE11/ql9tFeJ4e8kSt0jSI4TzaStXK7IA/hkAepsuIU5Ei5OOQeZ1U2h1wP6gzgkLdlyL0iK0o12+/WRlyCPJtlh7zi5pD7HNRpHrMpN4c8QGTFbaBoptZBkPscKOrF/v2t9FaxCBSq0y1BHoNDvmlTqzKOdsibRVvcpjrthyB/+GG+fdnL+FYEuSAIERFBLvSVroM6JyaA970v1A+qlyBvThteKPBfxAx5FmVkUGVXzuePf0eHPNe9DVsdbwCJWgUVZAI75M5tieaQR8uQlyNkyBM1j8hKlzbcHPJFU5B3cfr1S2ZfiPgEoarCO+TmVZ1UtdSeIY/okKcrvRPk+/YBO3fy/WIRGK5NWwXJrSfy+UgZch1XAViQLy0ZKTE3h7xY5A8hZKlFzZEj1gmG9dGPjPDuLJfBxdA3bODKTevWeUwhKgiC4B8R5EJfKZdZ8yQcR15TkL/hDcC73w189auB2/aKrBQThmUYIF/q5ZAXlSECwghyq6OU5442fAhy27YphUTVRZB3ccjbHGKEy5Cn0ZwhKJAgb25/iCorTjFNNQ+HvEMbnpEVc4Iloq4DGtzKJ2apap/xE/A9qDObtX8fkrVy7A55qryARRTaF9cHQIQ64ZOTdod8jToBNTrWetP69aEF+eHDPDZUs3Ur3zZz5F4OuVKRozi6BrlGa/7ZWbB1rztz6qk8haggCEIERJALfcXpdGqagvyXv+QnfvrTwG0vLXHbTrFfJCsiksvHI8gblggYHvbdnk2QWkKQcvxEPYAgN+t4V5Bpr7LSRZC3CckQkZU0WbGUiIM6o5Q91Cu2OeRd3G2vyErbjKc+Boc6j+EMVewlGAHfDrnzik6i6hJZ0QePj5I4rjGYUgeHXKmu/fTi8cf5cDQF+SimUR0abb1pbMx37X8nx4+3pq0HXAS5V5UVIHJsZWqqNUMnwA45YJ0D6Ck8ARbke/dGWpcgCIIIcqGvuOWYAdZAVCm3ptnWGc0A2ESfQR6sQqrpYJEVX4I8gEPe7JtDkDcy3euQ2xxySzzVkG53yIMMakTXlEvb8oARWUmnfTvktv3ejKyEH9TZFORuDrlHjt0zshKLIK+i3AhXZaVNkFdcBnXqD8/H2ZNbZCVhCfK2w0wflAFjK297G/Dyl7cq/5mRlTGcQKVgCPK1ayMJcj2gE2gJ8ubATq9BnUBkQT4z00reAC1BPjsLu31+6qmc2/EYuxAnlUpfViMIwgBIdX+LIMRHJ0G+oWbZXkSc0QyIm7gBgJwlyCvJPDIBHHKvDHmhzoJcFYdAYSIrVsOU5YZr2YCDOq3lE7noDnkm0xoHmUy6L6fRTafAgpdSqZb29SGom5rJUhRB65Db+l6NL7LSNuNpGEGOCspuDnmXY83tmKVyCWVnhjyR8DVIVLcJ2CMriSUW5BU3hxwIFO949NHWXDiTk3x7zjl8W8xUMYQFHM+PoelZj42Fms1ycZG7ZQpybUrrkoSukRVdgD0GQb5rV+uxLbJy5EhLkD/hCe3ZnR7QaAAXXcSr+sUvun9fBUFYWYhDLvSVTpGV7ZjgBxdcwA5UQCvIS5DnG/zDXE4WWgO+fODlkOfr7MrVC/4jKzZB7oysZAMO6mxOmZmxr7qDkFSKf8jdqtsA/hILzsiKSgYT5M11h8yQd42shIy9LDUy9gh1CEGeUlV7XwDfDrkpnAGASiVUk7l2jewzX+TmkNNih8iK7ohPfvaz1v3bbmMNqnPeo8RniKVc9MiKLu1tCvJikf+aglw75OYsSPoDjViLfHra3SGfP7rEbZsOOdDzHPk997AQv+8+vhUEYXUhglzoK50c8qYgP/98toMCTrbhFVnJKhYbS4gnQ56vsStXy4cc1Kkd7iw3XM8UulaFsGXIreWT2XRTjwDoKAC9tkULSz+xFf2elNJ3DEGu7To/YthaaMnNIfeIm3jNsrlU9++Qt7ns1mdVQca+2jDRH1VBqe5Q6T4HdbadRJbLqKZcBLnPEbhtDnmjASqVvAd1mgv54MEH2bD/67/mx699beu1NQ0W3ouZ+AS5meMG2CW3OeSFgt0ujjGysmZN67EW5NUDjnqIWpD3OEduFnIRQS4Iqw8R5EJf8SXIzz2Xbw8fDtS2Z2SlvogGCGVk4xXkuaFwgrxcBtJpJNP89atlLQHRQWx5RVb8OuRe2/KMH12NN+JjoRzyRjLdErJEHdfv5ZA3z0E6DMjUYw7jcMi9BLltkZAOeakez6BOlEqopXLtGjmbDTeo01qmkiy0Lx4ysrJ1K/A3fwPceivwrne1Xhuu86CGhYxRZWVsjNsPWPXEzSEHWAfbHHIzrgLEIsjrddb6boK8dtAxhef27XxC0GNBvnt3636IRJ8gCMscEeRCX+kUWdmGSTRGx1ojxI4dC9S2lyDPNpawhDzKFQolyNvqkNfYlq5mh8JHVrLZpqlXz3QXEDZBbnUskctEc8irVTzjunfgY3gTqjPdxYszQ25zyHXjAQR5HcnW25NJFvUuDrl+yk1MB3HIvVz2yIJcKSRV1d4XwLcgb7uqUyqhkcqGdsj1YdRs11qmlsp5C/IADvmhQ8DmzeySX3SRw5yuWII87XDIgcAuuZcgtznk8/P2AZ1AK74SIbIyO8u3ZmRFr0YddjjkqRQXS5+YCL0+Pzz4IJvxu3ZJURdBWI2IIBf6ipdDnkoB4ziGxroNLVvKNmKxO16RlUzdEuRlBBLkzbrbzlKBdRYvtUwhfGQlk2mawjUfgtyWIbc6liqkoznkpuV2331dt6EZWdGDOtMpe8w/oCCvIWV/u0f9b9fBtTFHViIJ8nodCSgs1Vwc8i6Otq36jqZUQj3tEVnx6ZDnckb5T6uhetpFkOuVB3CvDx3i2TPdyJdYdLc55ADXEQyAfrubIG+WNZ+b64lDrv/1mA55scjnjGrKOrEYM7Zx2zajFmNv2L0bOOMMPhk6dMjlDYcOAS99KfDNb/a0H4Ig9AYR5IKNQ4ciT3DXkU6RlTGcQH1kNLQg93LI07VFLKIQWJBXqyxq2iYxarCqqSay4SMrhkNeTVmd9uuQa0Ged0RWtCPrsgNdBXmzdhx8DUjrmCHXjfsRw5aKryFlN5DTaVeH3PVKhbWgLSYSMrJSRTqaILfeu1gL7pC3fR8aDaBaRT0TbVCn7XtgLdNwazOkQ+4lyLNL7JDPpxxlD4HYHXKl4O6QxyDIdTlR0yEn6wIbzc60v7htW6vkTA9oNLjE5Bln8GfvmuZ717uA73wHuPxy/7VMBUFYNoggF5rcdhu7L+98Z+/W4TZ9O2AK8rHYHfJ0jR3yUgn8Y12teg4eNHEbvAcA6XoJdSRQVamWwO9wFmNpLLtDbgjyWrp7jtc2qNP6sU0VHJEV3VmX6jSubr85e6KPvL7+yJIqnshKVIe8hiSqdeNfWMgqK2Ecctf4jNMh9zGos02QWxZ2I+OSIQ8wqNNNkLs65CEEubM+t0lm0UWQR4isDA21/7/YsIF3z8wM+uqQA/x1T85Pt7+4dSsL8h65GZOTvIvOPJMr2rR9XRcXga99jU9OZmaAe+/tST8CsWcPZ2z+9V8H3RNBWBGIIBeafOUrfPu5z/VuHZYWbSOd5hn+asNjrdFTtllvuuPpkFcWW5EVrdh9XPr3FOQNntq8VqfWNN0d2tMv2RzyTKYlyJPdZ2HUOiyTQVPkpZ2RFa1cXESgq8tsCHI6dgTdqNWsqHe9Fer2K8jdqqz4dchdTyYqFdQTLs62XpkLXrXMgwpyryz6QjUGh1y72elc+6IBBnXaSikaDnnUyEq5zH/6K+okPX8CFaSxoIwORBDkzgorQCu6feQI3B3yECcZTqZdNDfAn2tqYYb3rXn2v20bn5jr8HnM6HTZGWfw9s/MOA7R732P1//BD/Lju+6KvQ9KGdl9P3z603zl7X3v6+1lV0FYJYggF5rceivfHjzYs9+VrpGVWnGUHxQKsUVWUrWlVmQlwIyHngNQ6zyTYq0GXzWPtbByRlaahUWS3UWRzhoTtRpMFz0cchcx6RpZOXYMKpHAIWxE4qg/hzyVQlM0U9qfQ95WJcVtUCfg6ZB7RVaqlGlf3mjfrZ24MuRu7SzW0nbdoadB7SBG2q4YWceAymTdxXOEyIrKRnfI9Tw8noJ8YRrTGOUB1JoIgvPecW4AACAASURBVNwZVwEckwO5OeRaKMfgkDuvBBSLQGZhmpU6GduopxDtUWzFFOS6T7Z/j1/6EmdZXvMaPjh7UIblLW9hd/7zn/e5wE9+wrfHjgGPPRZ7fwRhtSGC/CRhdhZ42ct4cgk3lOJ/+job2qv/n56RlZTCKKZRGbJ+vNesiS2ykiq7OOQ+hI2XQ56qlVBCjjWbj7JxbYLcUqdBHfLmtlliMTOUQblsJFR8OOS27ZmZQbU4ikPYhNSx4IK8LbLiIajrdT6+ujrkqVRHh7wtspJwEdLWax3772g4qCCv1dyd9irS9sOgw/7QeDrkGReHPMCgTjeHXGWjZ8i1IHea0prk3AlMY9S+Hq0gAw7q9CXI3coeEvFnFcEh7xRZyZZcMjvbtvFtjwZ2Pvggf+abNrX61LyA+PjjwH/+J4vxTIZnDt2zJ9b1z80BH/kI3//7v/exQKPBPzbnn8+PH3gg1v4IwmpEBPlJwle+Alx7LXDlle6vHzzIv23PfS4/7tX4JK/ISq42jxTqqBasH7oQgtzLIU9UDIc8DkFetyIrNbQ2poNQahOUbYM6u/epVGqfWCgzxJ1rmvMdZvlxFeRzc2gUhnAYG5Ga8hdZSaWMxlIuVVb8RE4CDuqMK7LSJqRDDuqsVr2FvU0DRhDkKusRWYnbIQ8YWdFXzrwc8uTsNE5gzL6eZJIXCOiQT0/bC5lomoL8sHKPrAD8AfQospIrT7e/oAV5Dx3yM87gcw2bQ95o8AxNiQTwxje2+nLwYKzr//nP+bh/yUt4cOm+fV0WOHqUD8QXv5gfP/RQrP0RhNXIQAU5Eb2IiHYT0R4i+iuX119LREeJ6G7r7/JB9HM1oA0Kr7F7+pLo857Ht70S5F6RlUKZf6zLhXAOuVLeDnmyYgzqjCFDnqoZkZUIgryZsPARWXET5NkhbrAZW9Gd9euQz8+jkWdBnp4KEVnJ+MuQt21/XIM6ozrk1SpUIoGGMzrjwyF3tgOwsLdpQL3DPAS5jvK4Der0FM8+HXI3QY5cB0HuU7x2E+Q0M40ZGm1fT4jZOp0zZWrGx/l26mCZd4bTIQciC/KZGRbfzu9/sQjkKy4d27KFb2P6x/nBDwJXX91KO+3ezQM6gdaqa3fcDezYAXzxi8Bb39qav8FWqD0ebrmFTwb+4i/48Z13dllA12R/2tN4/3RV8IIgpLq/pTcQURLARwG8AMAkgNuJ6DtKqV863vp1pdSf9L2DqwwdKdyzx0VQoGVgXHwx/+PtVUldr8hKrsSWlE2QBxjUqQWAq0NeWgzlkHtlyHVkJbQgr1SAYrHpkFfIXxtN4WYJwNwINxjaIZ+fR2NoGEewAZnpAA55wAx5J0EepexhI4BDrhQb805nu5HKABXEElkJ6pDrVbg65LloDrlbZAW5HMrzjjcHjHd0i6zgxAnMJna2H8pr1gQemOIlyDMZ1vezB+a9O1MoRHbI3SrJFItAsToNjG5p79SGDbH849y3j/PaAHDBBcAznsH69owz+Dnul8Lp//ImPrauuQZ4xStaDbiWYYnGz38OPOlJwDOfyRc87roLuPTSDgvozOMpp3Dprpgde0FYjQzSIb8AwB6l1F6lVAXANQBeOsD+rGp0yelq1d08OXCAf5tPOYX/n/c7sqInFCnlwkVW2qYLN6DSUqwZ8mSt3MqQ+xgk2jWy4sMht1X2aDrkjshKB4fc1WWem4MqDmEKa5GsLHX9TMIK8jZBHZNDXk+6OPTmCg10tMYpyFU6075IyMhKm0PeRZC3Vd8BmvuAsuEHdXo55ImCS4Y8QLtAd4cc09OYS7k45AG/z7Uan1h4rWf9emD+oHV20COH3O1koFAAhmoeL8ZUi/zmm1v3r7mG8+OA3SF/Gn6BdbtvAd79buCVr7QPMN2wgc+cImy/kz17eP25HHDWWT6KuGiHfPt2EeSC4JNBCvKtAMy5hiet55xcSkT3EtE3iWi7W0NE9HoiuoOI7jhq1lYWmkwbsUe3Wd4OH+ZLwalUb+e48Iqs6AlFSvlwkRXbxDkOaMkY1Bmgyoq3IDciKz4iMPolm6A2ZuqsJvw55M2+WAIvDoccxSGcgPWZd7ki4cyQJzLRHPI6kuEz5NVqIIfcGIdqa1il0u2LhIyseDrkHvu1kyCHm0MecVAn5V0iK0Ag8dpRkCsFTE9jwU2Qj4wEcsj1W910L8Cac/GI5ZD3UZAXi8BQw+NFXYs8Inffzd1/1at43M9tt/HzT386346OAs/Bj/jBJZe0N7BxI9/GFFtpNLh64amn8uMnPxn41a+6LDQxwRuxbl2HqUUFQTAZpCAnl+ec9cG+C2CnUuocADcC+IJbQ0qpTymlzlNKnbdeF6kVbExPty55egly/X9840b7nDFxUavxP3e3GEh2kR3ypZwlDgPMqAl0cMiVApbiHdSZrESMrDgc8jIFdMiNKiu2xUJkyDE0hGlYVyW6ZHx1HXLPKit+BbkxqDO0Q16roZEMLsj1Z64bDuOQdxocGsYhdyt76Cqe9URDjYZn3wCXQZ1WpxKF+AS5a2RlaQmoVDCfGYvskHtVOdFs2ACUjnWIrMQwqNM1spKrYwgL7mckW7faZ78Nyd69LH5f+UouTPPe9/L2PuEJ/PrwMHAxbsKxdU9sZddNbGVoonPgAB+rp53Gj3ft4kRKx3PDxx5jd5xIHHJB8MkgBfkkANPx3gbA9t9MKXVcKaW/9p8GcG6f+raqqNf5h1Rf8nQT5OZ02GNjgSuU+aKt/J9BZoHF4GLG+hX0MQOmiacgr1ZBjQYqScegzggZ8oRbZMWHIHfWIW9GVhL+Yi9Oh7xNkActe7i0BCrkWw65D0HuHNTZVmWlg6BurjuODHmthkYyFc0hr1aBgIJcl3CMY1Cnq0NuPUl5dshth78+drtMNuQVWUkWo0dW5jqkRPQVlqXMaHtzIR1yr8jKhg1Adar/kZXRNJsEjaLLScDGjVyrMeK09fv2sfj+rd/izTh6lKub6FRKMgmcS3dh74aL3BvQzkpMOfK9e/lWO+Snn87H5aOPdlhoYoIFOcCCfH4e9kkTBEFwMkhBfjuAXUT0BCLKAHgVgO+YbyCizcbD3wPQ7UKZ4IL+EdUOudv/adMhX7u2N4LcVYBYpBem0QBhMW39ChaL7AT6uEQPdIisWJODVFMOhzxClZVkxaXKSpAMuaMOeRVp/rXt0KdOGfI2h7yDqLVtT6kEKuR8R1aagyKt9pOZZOTIShSHXAUQ5J4Z8kwwQe4VfQGCD+rsFFlJFHJQyrErfRxrtRp33S2yksxnYnHIh4e5yl4bWpBnPTLkAQS5H4e8MdvFIY8wMZCXQz6a4nWW0y4nAZs2sVKNeHnxwAE22/N5rrRy9tnA299uvGFhAVvUAUzknujegL5KHNNlTi28tUO/axffPvxwh4UmJnhAEsCCHBCXXBC6MDBBrpSqAfgTAN8HC+1vKKUeIKL3EdHvWW/7MyJ6gIjuAfBnAF47mN6ubLTO2ryZHSenQ66UXZA/efFnOGvmFq8JD0PjeoneIj1/AjNYg1rDOiSLRb71+aPq6ZBbL1RT8Q3qTFSNyIoPgd+17GGdulbQsDnklljMDjsc8g4zVboK8nIZiVw2UGQllUJT3SbS/gS526BOlUhAIREpQ64SER1y40MNKsi9JgayHQZRBnXmc+2L+jh2Xb8HVj3QbI7cD9MAVVbc5uFpYh0/pbxLZGVkhDfGpxPfTZCPjwND6L9DvibB63QV5DE4040Gm+xaU195JXD//S0RDKA56c/e1K72BgCPqTzDo3W0TsecfrqtG+1Uq3xWoR1yHaGR8V2C0JGBlT0EAKXU9wB8z/Hc/zHuvx3A253LCcHQgnx0lE0cpyCfn2fdu2kTgKkpXP5vF+FyAFP37cPap+2IrR+dIiup+Wkcw5qWDtKCfGGBLfsudHPI65n4BDlVOLKSCxhZsTncRmSlXkfXAXtuDnluiL++Td3RHCXq02UulZAwHfIgkZVEAqk0odFgEZFIIJhDnkwCDfhyyF1FcK0Glcy3L28u4NJGmyAP6JAbcyLZ2wE75K4zdYYY1JkqZJpN66+Cn2NNHwttDnkuh2yW91XboNQAbrLX5FsAmpfVXAW5Vrezs+4jrx10E+Tr1gFD6M2gzlKJP2K3dQ8Tr3MpNYw2A11n/iIMYDxxgveRrrXuihbkCQ9BrnM+MQnyw4etco/Wcbh2Lf+WeAryAwfY5dGCXE+3evx4LP0RhNWKzNR5EmDOOrdhQ7uBox9v3Ajghz9sPl/7xn/E2o9OkZXk4ixmTEGuFYXPgZ3dHPJapsBaJ2CVFdcMuVtkxa8gV6pZjL1NkAfJkKfTyOXJvilBHHJrhG2yYDjkfqus1OtAMtlcXTNHHmBQp0qmbK81l+/Qd5uIrNXQSDnKHjYzQP4z5BRHZCVOh1xXsMlnbe8B4OtkUutqN4fcc/EA4rWjINcOeWGtu0MO+BaJ3TLkNkEe86BO3UW3yEpTkCc7OOQRBLk2kTvWJrCU8B6c7v56MsknKTEKcn2uAXC6bteuDoLcrEEOtAyVXuQgBWEVIYL8JMB0yMfH240KmyD/5S+hiDCJrUj+7NZY+9EpspKcdwhy0yH3QTdBHsYht4lgAyoHq7Ji2+5ajUW5EVmp19E1stJWZSWTad+UIBlynVUu5lBFBpV0IVhkJZls6t/m6oI45NbGB3HInYIcyVTz4wTASsGjD54OedZDkOuZhDza8ZoYyLYLuwzqdL1iZD2ZLqTbF/URj+oYWfE6VAMM6vTjkJeHOghynzlyPw75MOagEgl3xz3CxECd1l1scGRlgXoTWTl2jG87CvKJCcylx3C05DU7EwJXtemEGWfUnHZaB0Fu1iAHxCEXBJ+IID8JMB2f8fHWP32NNnQ2bQKwbx+q41twM34Thftui7UfnSIriYVZzGIktCDvGlnJFuKpQ64UqFJGGVnuqw+BbxOkxgOboPURWbE55G6CPIhDbq0rkePozFKu+9TmNkGeSrWvLkiVlZR/h9wzsmK14SfH7iXIyStD3vak/SmviYFcHfIukRXnDKQAkMqn2xf1cexqh9wrsuLanTgdciLUi2u8Iys+ReLMDH8uXukW7ZBXssP2SXE0+TxvaJcSkW6YBoaTomKHfJ5cxHCxyG59DA55x8jKwYOYyW/u/K+xD4J8/36PC0lOQT4ywq69OOSC0BER5CcBbg65WU7N5pDv24f69p34GS5E/thkLHV1NZ0c8sTcjLsgj2lQZyNrOeRkDaAMW2WlWgUp1XLIu4guwHEiYuQUbJEVH4M6bRnydBrpNP/OtQlyPxMD6X7kckinuTKG78iKlQEPHVkxBLlNTAdxyI3pMv3ETbzqkJOXQ972ZJe+gB1yV0HuEX/xjKwkk8jmE7qLLaIO6vQS5D6/D7r9jg756CgyuYR72UPAt0M+O+vtjgOcghjGHCoZjxGmupM+nX+TTg55vm4JcnisN+K09b4c8gMHMDu0pW+C/NChdkF+6qn8vZ+YcFngsce4dq7O9hPxDhOHXBA6IoL8JMCsHTw+zr/5+jmAfz+ILFdm3z7QqTtxB87jF++8M7Z+dMqQ01w0h9xTkFuCXuULLc3h8xK9qyC3lmsK8kSC3+Q3Q26oc5ugDeKQG/kV26aEiKwgm0UmAyxkAjrkhiDv5pC7VVkhSxm3CfIAGXIEmGXTM0OeCyfI3SYGaiTS9sOqw0RNgMf3wTrzcj3P8xGP6uSQe+r5OCMrY2Puh3IIh9wrPw7wa8M0j5JblhtodTJEbKWjIK/xP87Zhsd63UbNB8CvQ74w0h+HvFplHW1myIHWJEGPPOKykFmDXNOrWrqCsIoQQX4SsLTU0o06zmfGVg4dYkcmhRowMYH06TtxD54CRQTcdVds/egUWcFstEGdnpEV6wdZ5fItzeFTgLhODGQpjeagTqCrw2gT5MZlAltkJUjZQ6Njtk3xEVlpClLDIY9NkPutI16rAengcRNnZCWIQ+5VhzwR0CF3PTnQAzGzHpGVoA65IchXlEN+4gSwdq17cyEy5J0cciJgLD2PhaRHjjqCIO8UWclW2SGfqXdwyCMI8uPH+V+fZyEapYCDB7E4tqXzvGkxCXJ9guAWWQFakwbZcBPk69aJQ74MePRR4Ac/GHQvBC9EkJ8ELC3xP/mmCw67IG9mBI8cAep1JHdsQzUzhCNrz+yJQ94mcisVUKmEOYrukLeJfaPsRFMkdBG/mm4OebOvPsQ04BDkbmUP/Q7qNNS5rYR0l7KH6bQRtzUc8nQaWEgFiKx0ypB3qCNuVlnxjKz4LVkYUJB7ZsgzaRBFjKxYG5jIeZQ9DOqQp9Pu4rmXgzrjiqz0SZADwFhyzjs60iOHPFOdRwlZLFRcRnsDXMYqwpT13aI6mJoCKhWU125Bvd5h0taYBLktzmiwZQsft64O+WOPtSqsaMQhHzj1OnDeecALXwjccsugeyO4IYL8JMD8EdWC3DQrmoJc/8McH8fwMLB/7dNjdcg9IyvWj/RCMtqgzlzOZXyXdsidkRUfP9S+Iiu6vS4OeSJh5ZcNdUrE/fUTWWmbGCiEQ+6cFEg3kMkAc6kADrmVIXetsqILkzv6rl/WC1AqhUTCxSHvIMhts0MaGfIogzqRybQvEjSyYr0vmU3Zd2GYyEonh9zHoE59WNscVocgb1s8m+WD0MdMYH4iK5mMyyZns/wXoOyhWzVDk5HEPGYbXRzyELN1zszw99KtvHmmxCcBnv+Wxsf5e+RSoccPs7Odozp6lp7aOGdIPPsxMhKrIHdGVhIJnrmzTZAvLvJx4BZZEYd8oNx1V+sn/hvfGGxfBHdEkJ8EuAlyZ2TFJsjXrsXICPDwyLnA449HGqRk4hlZaQpyl7KHPn9QtSBvw1IoVHA45GEHdYaIrFhlx23L6w8hleo+qFMpF4c8YIa8bTIYox/pNDCfsqY271CVwleGHGgTsm0i1mqoLeHiEXnR2tt2smXEXqJkyIMKcs8qK6kUcnlyj6x0KXvYVmXFcMiDRlaM86wWpRKQz3sb7D6y6Y6m3LEiK5mMR0pnzRrfDvnCQndBPoQ5THtFRyI65CMjjhNAi2RpHnMY9hbC69bxF7bL1SYvugpy6x+3Wsf/yD37sWYN7yxPC90f+l+/nmzT5NRTXSIrzgormnXrxCEfMPfcw7dbt8Z64VuIERHkJwGLi96CXClj4gdDkA8PA7/MPZ0fx+SSe0ZWrB/pxZThkCeTLBR8OuTWbPTtWII+UcgFEuSNBuvOtr56RVa6uNtegjyZRKtai0fWuF7n/eScGAiI4JAboftUClhIWOqnw+fta2IgvTLHus3uaYe9zRDv4JC3nRjVau4lC4NUaongkLcJe0tEuw7q7DLrZ9sA0W6DOn0I8rbZP7tFVrq0C/Ax6OmQK8WCfGwM6TQfE23ndgFc2/l5Y4ZSDwqNeUxVepMh94qN0Pw8FmnI2yeIWHO7qyC3/kcn1vN6PL+u+mxmfj5UPxyrcx1ketpp7JDbcuzOSYE0a9dyXyKeICxbvvpV4C1v8f17NQjuu4+/Uy95CXD//R3GHwgDQwT5SYD5I7pmDYtA/XsxP8+vOx3y4WHg3uTT+HFMp9OekRXrR9omyAEOvkcV5EtLLEbyRik2H5lZV7GkVwSglsz5dsjbShYCzSeSSUvQul7nt/fFOTEQwPvVT9nDbg55U5Cb5Xe82uiUIXdZfyeH3G/ZQ1vf9ZNeDrnfHLpRPjJyZCWTaT8MEgleYZf92taWl0PeZaIhIKQg9+mQV6sssl2vRM3N8XFhOeT6/TYCOuRukRGTfG0Ox8u9ccjdBnQCAObmsJTsIMjdLkEGoKsgt/5xJzd0EeT6w4soEKem+DB2u1px6qm8222bum8f3zoFuT5RWY0u+QMPAK9+NfDBDwJXXz3o3nhy//3A2WcD55zDJ51W+klYRoggPwnQgzoBvuy/bl3rn6guM755M9oE+eGlEZ4jOSZB3i2yspQesWupYjEehzyft4slHw65pyC31G8taURWfEx73+ybV2TFhyDvWmUlSGTF4ZDPw58gTyZbd1yrrLisv00MG4Le1SF3WDdGXNzWKEWNrIRwyD2rrKTT7odBOu25X2s1/j46a6N3dchDCvKOZQ9dX7DjWVoUaP3vsBxy1276dMiV4q99R4e80UC2uoDpuoc41v/wQgpyz4GV8/NYSnWJrAC9c8itdjObeDp6z37oDy+iQ25d9HCN7+zaxbe7dxtPPvIIH/NuGXJgdebIv/Ql/ofwrGcBn/xkqNr3/WD3buCss1iUAyzQheWFCPKTAOdlZnO2zscf59tt28A/quk0UCxiZMTSZhddBPz0p6FmvHPSLbKylFlj10BxCHLrbCR2QZ4KGVlxnJXYIit+s8ZekZW2UZYtujnkc2SpAL8OeacMuWP91SoLz+aPeqcMOdA2IM7VIa9WkQghyG3i18iQt50YtDVsb8crstJ2GHQ50XLbLu22Ay4zmQJdxytoY75JTA65L0G+dq33xzcy4sshX1piUd5RkFsqfA7D7nHtiA55J0FeSg8wsnL8OJDLIb+OTzj64ZCPjbm/9mu/xrcPPGA8+cgjwM6dji8aVrdD/sMfAs98JvDOd/L+uf76QfeojXqdx4pt3cpXNgCeaVVYXoggPwlwCvING1qlcicn+bYpyNeuBYgwPGz9dj7/+aze7703cj+6VVkpZUbaBbnPQZ0dBbnlkNdq1nmFD0HuOuDO2IhayoisdBBduq22DHmIyIpXlZWm5tB2q5/Yh9Mh11OBdxBMzWqFneqQmx021u1WQ9xTCLs47LblleI+hKhlbnPprUECbScGYSIrXg55h7EBroOGrZMtV4c8meS/Lg657XvQaPCKstnIGfKOglxX6DEiK23d9FmKT2vIjpEV68RxHkPuTfZKkM/x7KC9iKwo5VOQr1vXvQhVjA65NrednHIK7yObIN+7t1Wk3EQ3stoEebnMoyUvvBB43vN4Qo9rrhl0r9o4doz/3W3axCUrEwmPWVaFgSKC/CTAKci3bWs541qQb92KliAHZwbn5sD/ZADgW9+K3I9KhTVjmyto/aKWsy6CPEDZQ8/ISqFg11gxOOT1VNbuDHuILsCnIO8QbXB1yN0iK0DHWt6uZQ8th3xWBciQW3dcyx7annAsZz5hCfq2DDngKuhty1sOeiLjf6bOtomBjGB+EIe8U2QlqEPuOljVcO1du5DNdhTkbd8D44pMXxxyI7IS1iHXGrKjQ269aQ7D7k32aFAn5udRyQ57C/LhYT44Qjjki4t8/uRHkHet6qjPZmIY1OnlkBNxBKIZfVCKHXJtwZqsVkF+//18oJ93Hu/3l78c+O53I3/ucaMNuM2buZubN4sgX46IID8JMKusAC1B3mjw7dq11uvGf9/hYf6forZsBX73d4GPfjT0QCWNLv/3/9j78jg7qjLtp+7t7iTd6ex7yA4BQgKBEBZlFxAYEIdRwW0Q5lOH0dFxRBnnExy3T9QZxxnHQREHZ1QcRUFWkUWWEHYISyB7QjaSELJ2J+n0cuv7473vvafq7KfqdnfCfX+//t2kbtWpU3WrTj3nqed9XskrfPduoKEBpaaByYd4XkmdgwYlWbu8JSsWhjxhe5jK0KyAUm5Dkfqu1JCrJCu8UohkxVFDbnRZ0QBqSZqhS+o0SF6k7YFsGnLBHD2EIddpyKXLyjDRUkpWhERTZRccrjUlIG9q6h0NuYkhZ0BusXfoS4Y8ji1Jne3t6B5g8CHnJJ0AQM4TCx9Arj08zzoOuhA4GmUcdxylGPX0gB4mu3YBRxwhr9gPAfnSpcD3v28c8uzBDmTHlR3JLruMfpQ778zcvzyDEzjZT37SpDog749RB+RvgxCTOgEC5F1dVBZ5w4YyOw4kysQNGVJNrsLXvkb/eP/7nYqH6EILmsv7bWyK8teQlxnyhPNDFkBe3q6nMSVZcWXIUw0nJCuAW6VLQbIi4TMDQ26SrOwqhQNyF4Y8cR6FpE6lhtxF8gKg0JQBkKcYciUgN7i16JxRlJIVAyBXSlZMDHlTk1VDnnBBES4epQwGyIchZ8mKiSEfPJhYAMt++JZ3Yci1gJxPgmdhoL176fJUMuRdXcD+/egZZJCsAMkkHY9wBuQjRtgBeU4MOSd16uLUU6nfL78MYNEiWsjgVAx+c9BPAHlHB1Ws/NzngC98IUNDy5fT/TNtGv3/ne+kB2o/k62IDDmQEyDv7gYuvBC48sqMDdWDow7I3wahkqwABMbXrhUcqtrbKwN5qygpnjsX+NGPgEceoc/ASLiNiFGuxCEBoxw15BJDbmEDJatBjvJ2pcaUZMVVQ24D5AaZhMplRQnIXW0Py/ohb8lKgIY8C0MubV9uPxMgF4Cqq3RGXOQlWdFM1nTJqrViyAsFOj2hGnL+WsuQDxgg32tiOIJEX8mKEpAXCtQfT4ac21IC8vI+e5oNkhUgM0NuLIi0fXuvMeSlkllDDhAgB4DHHgMB8igCjjlGXjGK+lW1zvvuI0A6Zgzwq1851cRSx4oVpJnnjPVCAbj0UtpBP/IV1DHkmbzIn3gCuOce4OabFSVb6xESdUD+NggdIF+/nsYTtq9SAfIKPrv8cuCMM4Drrw8uC52QbohRzmRSAvKcbA8TVmweSZ1aDbknQ17pWwpdJ2wPxR0r+qJyWZEkxa6SFRYbRxEaGoDdPS300PTQkPu4rKgAudRVH8kLgMIAdw25CZCHMOTOtoeBDDnnWihL0AcCcm13HBlyrW0pUEVuUaSfTDgmGuYiWQFo0KsBII9bDJIVgBjyAODJp0V73HFcAeTlW7emDHlbG4FyE0M+aRKRw489BuDZZ4GZM/UHMGJEv2HIb7uNjuumm+jx88ADgQ0lHqDluOoqYlo++cl+U31n82Z688JvyseNo2sn0wuUxx6r/vvxxzP1rx4UdUB+kEdXFwE+EZBPmUKfCxYQXp05s/yFG99UTgAAIABJREFUCZBHEQ00GzcSUx4QVslKGhh5PFBttocJvMtiX8NgaZOslBoHVPuakSGvaMgrHbT0RUBykvTcVbIidKqxEejqjui31wDyUon2kafLipaZdkkKhYYhNxy/uAtxxuU6MRDb0UlWfDTkpqRO3jREsmIC5Mo+OlQA5baFppIh5J9YGXLLJNuHIW/XMeRAECBnC0UlIC/fG3GLRbISyJBbpTq7d9NFM3IkoijlsJSOpiYaXDIw5EJagDFOPx1Y8HA34kcfJdJGF/0IkD/0EHDeeSRbaWpKYkvnKJWIGU4D8kMPpQJBd90F/Md/5NLfrLFpU5UdB8qFAFGVsgTFq68Su1csknSnHpmjDsgP8uAHR9qHfNw44He/o/+rGHLWMSbw2UUX0cM70GdVK1nRMeTNzXQADiyDq2SloiGPY6Me3pjU2dSExqaoNhpyAyBXuaw0NVVdAAG4A3IB1Fc2qZjPy5EAtGVA7uqyomS4y4DeJZnSpiFXFhfS9L9ij5ySrLgy5N6FgSy2h7qkTu5GnpIVQAPIWbKShSEXsv+MGnIgV4Y8ajUw5M3NwQy5MqmT+93aah6Whg2D2hzdHFZAziC/fJ6N842oPMHOQIEKaQHGOOccYMaOZxG1tVVduVTRTwD5pk1UEO/EE+laPu444Mkn5fXuvpvknL/+taah9evpnkkDcgD4u7+jGvVXXw2sW5dr/0Ni8+aqfhyoAvItWzI0umwZmdFPmVKXrOQUdUB+kAcP2GJSJ0AyPy4McNhhoKdtV5daQ84xaBCNXk89FdQXrWRFpyEfNKjqo+zQtrKkdyqpsyJZ4Y00YQTk5UTIPDTkPpKVSl8EdC0l6rlqyFVMbMXrUg4JkAuSFZvLitK2MAtDzhryARqGPGtSpwNDrtOQs715JXwlKzaGvA8lK0aGXMj+06ZDeEpWXBjy4tDBeifFGklWCkMGI44NLxSGDaMvPYXJ1uMWvN4Bh8PzkPypwpUhP/ts4Dzch1JUAM46S79iPwHkXHj6+OPp8+STgeeeS16vcQx89rOEub/0Jc3ka8UK+lQB8igCfvADutn6QYLnpk01AOQbN5JmacaMOiDPKeqA/CAPHrDTYPXoo+mzubmc1JkSMEqSFY6TT6YRzQAKdGGUrOgYcsApsdPGkEsact5IE8bCQGVAHmR7yIiunATkI1lpaoJQFKcqWUls5qohF9BgZZNKNSg5EkBUYLjF75xdVmyFgRw15EVdUqfi+CUfclNSZwaXFSB1WVkkK/2KIbdIVrT3BJCQrCTuNTHylqwMGICWYY29pyEvD4aFoXQc2mGJN3YogiSGFZCnOmc9vF5iyMeMAd4/6B682npStSKnKkaO7BeA/LnnaPidO5f+f8IJdOmLBY4WL6YaRyeeCKxZQ2SwFCZADpC4/ogjgEcfzbX/IaGTrAQD8q4u4M03yVGmDshzizogP8iDH75pQH7RRfR58cVlX3BXQH788TR6KUcocxglK0OHyuRmVkDe1UWoRyVZ4Y00YWTIy97dCUDe1aV9hy0x5I2NFTN2H8lKBQwLHZNKrAdKVrwZcg8NubMPuYEhV0lWigMVSZ2BGnJXhtwmWQFSuDYwqVO7qUVDri0M5KIhd2TIjUmdMDDkHpKVpibFuRGjrQ0YPNhc/LNGDHlxKA2O2mGJ9S6espXcAXkvMeTYtAmz9j2P3+37M3O+/4gR9LsFkDl5xnPPAUceWT3P8+bRJzPnQFVTft119Kl8KbxqFT1YJ0zQ7+y004CFC4ONEPKI9na6DESGfPRoegQFA3IWn0+YQIWgduzwnoDWQ446ID/IQ/cQPfVUYgR+9rPyghQgV2rIgWoGKLMDnn1RMs7791cY8gSWcizuUSrRdhJQEPQ6tZCsVMbYxsaUkDsZSkBejkSlzkoHk5HA4ClEKOF4H8mKiiHPAshdbQuz2h4yIM8iWUm5rLgw9cp2eD0dQ27RkCslKzVkyJWbNzQQZRjKkHd30/hRBqLaS9nRiq+93cKO80qtrbkD8p076Z5U7r98bzQOtzDkGQB5FGlsJYFeZ8iF4qvm+NOfAAB3dJ2PlSsN6zGyZ+q9j+Lll6vsOEAE75AhSUC+YAGRv+eeS9fzkiWKhlauTFoequKd76TfrQ+THtOWhwDd8iNHZgDkb7xBnxMmVJF+pgzRegB1QH7Qh+k186xZwvIUIB80iMYZScHAr+cCAbkEmoVqGKGSFS1zJ1Qy8ZWsGF1W0hpyg4c47zNheyg0WmnHwJBLchGhY3lIVoIYcpXtoY/Liiqp09P2UAnIXZM6BR2Qth8BtoeAO0Mu/SZxnIuGXFcYiDeXLvso8rICle6zVCZkHgy5MaETqClDPnSoopow7xNA08jWSj+VwYA8QLLS0qLZt9hemS2pNUO+YwddS9oJAseiRSg1DcArmFOpDaSMflCtc88e0oUfeWR1WaFQrTgK0G24YAGRVg0NZJqifCG8ahUBclNw1dKA52VekS4KxDFuXE6AnJF+JkF6PYA6ID/ow/iaWYwUII8iDT4bMoQEaAEzfqVkhQF52fYwgTUcGXIGQFLbDOR1DLmBEdROZMqaACmpU9xI0ZaVIXcF5C4MeYCG3AuQlwF1sMtKGdBrmWnHpM6GgX62h8WiAHZcfMg1kpVEO7wwQEMuMeTc7962PQSgtoiR2+Z+JYKZYFeG3AGQOzHkLoDcs1InA3LtPgE0DafO1YIhNx63MFYCvcOQW+UqAPDSS+S2UWzA4sWG9foBIOfH1uGHJ5fPm0eH0dVFmvE33qgWPTr8cMXjLo7dAHkGAiuvUDHkAD3GcwXkdYY8c9QB+UEeoYAcMOCzww7LT7IiMOTS2/0cGfJcNeQeDHkcewJym0xCw5AnXFZCbQ8dAHmxiNpV6vRh2FEtDCS1USrRn6kPgobcVcuubIf7KzDkkmTF1Yc8ZafTa5IVwJkhLxaFtwwcDDxtLiuNjfRlP5esaAF5WxvQ0oLmwfTYtCZ15g3Id+2iYypfH04MecakTqtcJY6BF19EYe4xmDQJeP11w7qc8NmHgHzpUvpk4ppj3jy6/JcsIXYcSALylStTw8GmTXTyDz3UvMPhw+m4+1CyomPIMwPyYpHE6LlYttQDqAPygz5qAsgnTwY2bAjqi/Z1t872ELA+VLXHqGPIHXyXjZIVD4a8p4eeWTpA7mJ76M2QB2jIe3qAuLmFGrJJNVKAPKGlF1cWtnUqDBSgIY8iNw9xZsgrYWLICwX605xHne5b+eLFx4c8YadjsCjM22UFcGbItQmdgJ0hB5xYW1/JSmenpusBgLxcCFMd5UmAVQofyJBbJyIp+t6JIc+Y1GllyHfuBN56C5g1C1OnWgB5P2DIly2jWzuNo9kC8YknqOr9mDHAUUfRshkz6NbcuFHYgF1FbAw5EExg5RWbNtE4k/4tMwPy8ePpZI4cSYNrnSHPHHVAfpCH0apMDKHoBYfWBW/8eLrLPcsCGyUrB4qG3MSQKxCI5N2sYMi9NOSpjkkuK4G2hwBQGlg+34qnfMI20FNDbnJZyaIhV8peXFn6lA+5dMo051HqCy80JXW6SlZ6gSHXAnJHhlw5jqQkK8aUCkdA7sqQa92ggCBAvm2bAZCXJwHWYamlhW7sWjDkPoC8NxhyLmYxZYo7IA+oYppXLF0KTJ0qu44deihh69tuA/74R+D886u5mpMm0WcCkHP2qo0hB8j+sA+LA23eTKqSdO7p2LF0zQXN2d54o+ouUyjQDKbOkGeOOiA/yCMLQ64t3Dh+PAFTz6Qlo2SlrCHPlSFXSFYy+5DrCgMBSgQitZNVQ57KKsxDQ15hugfokUZWH3IJUBeLXhpyyfe73BnXhMzyHKIapkqd3I7Lmwbujy6p08eHPHWx+GrIu7tJqRMsWQllyF015IBTouGePXIhMynK4NjIVjc30zF5EAdGVritDWhttQPyKKJzEZjUqY0QhpwLvgWEE0OeAuRvvGEYVocMoQGvjwF5Wq4C0E92ySXAAw/QROS9761+d8gh9Jl4KbxqFR3L5Mn2nU6YQCfGk8DKK9JFgTisSpPNm8kjUhUiIAcI8dcZ8sxRB+QHeXgDcuFJqJWs8N3N2SIefTEx5E1NBCoq41ZWhlwhWcmsIVdJVhyqbCYAuYDCXCQrCZVKqmN5SVYAD0AeoCGvnMc4JtToqSHXMeTBsheTDzm3o5nYKL3D82DIU7+tL0OuvA98JCtZGXKbhhxwYsg7OhycPVzkI9yIZaLBEcdukhWnYWnYsNow5OxHC0eGnBsOCCeGnJnfKVMwZQqdw/XrNetGUZ8yqaUSSbnTCZ0cn/oUde8d76jW6QCqgDxxXKtWUcl4o1l+OSZMoB+qj3y600WBOIyAfO9eYP58+mNTdjHSgDyT/qUeHHVAfpCHsdy1GG1tBIAFoW0tALnUj5SGHBAe5M16CUW6XSBfhjyvpE7JKi6F6LwlKzWyPQSA7ib9+VYB8iCXFUH74gqmtZKVMpgOAvWmSp3cjsZlRbIqLP+mWttDjUe9Nqkz0PZQ6TbkI1lx8CFXjiM7dtBr6/Lbtawa8nJxXX10ddFB2BhyxzdsHLt3089kZMht++QYOrQ2Lisphtz4AoAb83SaAei3a293ZMgHDgRGj67gMyNRymxxH8T69XQp6AD5lCnEgj/6aDLfZOhQumwTDPnSpdWaHLbgE9NHx715s5khV/5e999fPeAbb0x+19FBM9c6Q5571AH5QR5a7+B0lG3ExLACco8BpqeHAIj0oN29m57yAwfKgJxXzoEhr6mG3IBAnCUrDoWBTEmdWVxWKji4yYMhb6CEykJBwZCb2OkUu+2iIbcx5K5JnTYNeQLYKNGwoS8mhhzQvvnwTupsaqLzrwD4Lgy5lmB3YMiNkpVhwypekFGknc84SVb27ZM1vokQ5HV5AnJWUtgY8qYmuu77hCFPAXLAMI/KwJBznq4TQz55MhBFbmYbfQjIV6+mT12le4Bu+7QkLYqIJa8A8q4u4LXXgKOPdtsxA1dPAiuP6O4Gtm5VM+RG+/D77iM8cPHFwOOPJ7/j40gD8i1b+kyWc7BEHZAf5OElWVEA8t27FfdYQGUufmhID9rduyuvYSVAPmAAjYY5MuSukhW2eJOKsJkkK72pITdJVrIy5I4acv5/BRu6SFZMCZk+Li26NlwmBYDksgKkMK7hPCplJk1NavMew0QrOKlT0x7vV1kYSEgCrklSJzuLoLq7mjHkQgJ6noDcWiq+zJBHEb28qwUgN7rLaAC59vD4DWMGQG5lyLdsqTwPxoyhRW++aVi/HwDyadP8t00A8uXL6eL2BeR9cNxvvknPbxVDPno0PV6Vj/FHHgHOPBM47TR6CyJOJkQPco6xY2mw6uMqrAd61AH5QR5ZAPmQIQRApOf0kCEEWDzsqwRsnAxBFykBcq4jnZUh17msGF7RS2CJI2eG3Mf2sFiExJBLLisZNORdjX4acv6/jSFPMMHCwQRryFNJnZkkK4JbjMS0u0hWhFcpWttDRX+4Tzpwr+2C9INXQ8uQNzZW2GvG3dIkO4vt4c6dEpWqOX1WQF4qUZeNgJxf27ky5I6SDStDXk7qBByIfk9AHscWhry7m1bwAeQZGHLr5IRjy5YKEh89urpIGxMmEGVrcAqqVaxZQ8MWu6b4RAKQv/QSfboC8oA3ynmFrigQQPfoqFEKQN7VhXjVKtz09Bws7DmJlj39dPV7Po6JE6vL6l7kuUQdkB/k4WV7qGDIAYVsJYroAewByF0YciUmtVJRbgx5oUCDsY8PuQTIWXfjYXvowpAnNOQGMB1FCNKQc50cCZDmDcijiJabwLApIdMF0Ivfl4v6BElWBKCqNMnxedNQ3m9myUpODLkEyIWbn/8pHVoWhnzHDokh10pjLEiWx4l+x5CXSrST8qBoHZaGDNF4xqpj/37ahRaQp6p0Ah6APEBD7ixZefPNCiBvaKDJjJUhB6oocOFC4He/8+5fSKxZQ2BccklyiEmTCNx2d4P63NKitmtRRUsL/VhvveW/44zBVo0idhZDKf1eswZRdzcWvDkTn/vZMTSuv/JK9XsVQ16v1plL1AH5QR7799MAJEkv0qHwGjN6/A4f7vV6SsuQC4lKSmDk4CVsBORNTRXwWAEJjhpypcNKeUcJIGiwPXTxIXfRkFceIi6FgRSWf8ImUj94eWeDAyAvxgkPQWVipklykkrqTOQ7Ks5jqUTr5CFZSRQG6uqqnDzlJgYNuc4ZRWt7CLhJVlwYcilpoBougFx76WdlyBWSFa2GvL1dqzXlW92oIfdlyD015EpAvncv9blMWlgB+dCh1E+F1l8V3H8tIOfk9/7EkHd20jOAtSpwMNtgy5LXXyf9+SmnAO97H/Dkk9599I01a8LkKgAB2p6e8rE9/DCV8XRxWOEYNapPADmz+rq3AipAHi9dBgBYhsPx7Gst6J4yXQbkAwYkZ2t1hjyXqAPyAyA6O4Evf5lkXb6hfYimQ+E1xoBcSfSMGJEfINdJVgAnhlzpLsE7FXZYKZrI9b8tgFzpQQ7kypBXJCtRpBXeKgF5iiFPJHUqGGr+KnGAIQx5oVySXsWQa/avlKw0GAoLCQ0q+55HYqgAVJXXncatxiRZUWJlzbXB5iwmhlyb1KloT9xvECDPqiFP1ZvXMuTNzTTL0nhja8cJMWqU1GkEoanCaS0tDoAc0LAZ+uatDLlge8iTllpoyPlcGBlyBpgCIB8zxsKQz55Nn4sXAzffXF1+663effSNrIAcALY++zqwZAnpq32ijwD5+vU0xgg/USJUgLz9heUAgMMvJBeZbeNm0+/FwZaHZRkcgDogzynqgPwAiEcfBb75TeCqq/y3dQbkikwqK0Oeh2TFpCEHvBhyqW0FIK+ABAsAERQdyh0xEI1j+Nke6iQrUgeroZN88CbifnQMtbCJ1A8fhryx0FPteLr/hv3rkjrFRSq5SeqFgNSGq3WisjBQCpDbJha8jg6QR5HCPVBzbTBxGmR7KK4rhI9kRdrcgSHXAvK2tgRQ1PYdsIJkX8nKwIGEC7SFgQz7Sse2bdX0GCkEVp6bNuJcPh+OshUrQ877Fyop15IhZ64l9eIjGYy8GYzBAZBPnEjPjpdeAn7xC+Css4B3vhN45hnvPvrE3r0EPEMB+YQJQCt2Y+T3/pEukMsu82ugDxnyiRP1b8gZkIsvrHY/uwxbMQoXfIRmpmtbZ1MiKw8waQ9ygH7Txsa6ZCVj1AH5ARCLFtHn0qX+22ofoulQeI3xM0UJyGvAkCuxS1YNubDDBAFtAeRKyYpAxfN3pRLysT3klTwZcmnXCsmKK0O+v+jAkEdJQJ5wWeEFHhpycVFFUyJsr+17eWEmH/LUhMSFITdJVgDFZaVBwKlUgGRbgZIVrQ95Tgy5cnKf0laL3dQy5ID2nnZiyAVwHEWGCvEBDLnR8hBw15AzQ+5YDMYKyFP7B2qrId++ncB4QuaVDkbeAv1qVTJGESVD3ngjlZ//yEeAY45JMrA1iNdfp8/p08O2P/y/rsFbGIVJC35Fr6tdKnSK0YeA3JTEOm4c3dfiZRovW47lmIkzzqD552vF2TTIMwBZt04WpRcKfVr06WCJOiA/AIIHE8DqGCZFHpKVmjLkCg154kGeVUMeyJAbAXmZIQfsCZkSIE8hQ29AnkJyhUJqouECyONYyZB3oZE6ZCoMFCUF6TYNeRyn2OmUywqQctVJNagErqakTlfbQ0GTpE3q9HRZARSXlWaypmT+eyGp0wjIu7rKM0x1KCf3+/YltNUcoQy5k4ZcIR/JS0NutDwE3DXktWLIhfNcaw25U0InQGCzHMzTGO2oTzmFPhsbST8+fTohwhpa5q1ZQ59BDPmCBWj54Xdwe3QJfvqhh4DrrvNvY+TIPpOssGxfFapczMFvLMPagYdj7Fj6aZ7tmENfLF5M48PateoTOXZsnSHPGHVAfgCEaAHqOwHNQ7Ki1ZDv2mV8gKebB1K72L+fnvIZNeQMLiQArdOQA2GAPCVZAcq4L6PtoZdkRYHkEpsxZS08ESVAntJLVM57t95guYKBI9GD0a4hlwB1KqlTXMe0vU6y4uNlrpOsaJM6PV1WAIXyQwOglYWnFAx5qZR6A+EgWZF8yBWAXClZERtRhHIsEfTcYmgZckdA7sSQl9n2vAC5kSFPSUastof9gSFvLE+wAyUrVstDhVn58OFVh0ZtfOYzwPnnAz/+MR0PgzuReco5MgHyn/8cGDwY1074LyxoPCupnXaNUaMo10IxptQq9u+nU3roofp1JEC+ezeG7duMPRNIPz5tGrBwy2F0LS1eTHKVri5g6lR1Y2mA8utfA1/8Yp/YXB6IUQfkB0CIk07fCagXIE/RUlaGPI6dHzhKbShvawPkDgw51xBKhI0hN2hmlWygoAnwZcgrwMskWXFJ6lRQxonNXHTYGtlLdzesgLwIWbJiArISoDZpyBXbe2vI80rqNGjIbZIVFw25cqKhSOqUNs3J9lDJkAP+94QGkGsZ8jwkK+3thFzLwtheYchrLFnhtnJlyFnPE8iQWwE5+6wLQnNm1Y0vT8eMAe69F7jiCvo/gztGzTWINWvofAlyd7colYC77gIuuAAjDmkOtxLntwgeb5WzxvLl9Gw56ij9OiwFZzeW0lJK6IyOOBwAMeQr1jYhPvxwAuQ8aVIB8jRDvmkTae2/+13gf/4n28G8TaIOyA+A2LwZmDWL/r11q9+2Thrynh56eqaegjz2awE54DzAKF9Fp7x1tUmdFoZce4y10pDnyJAHa8gFJJcAPy5OJSkQmcCwgwYpH+AmDbmJ4Za6a9KQK7bXaq2jCCgUsvuQw8CQB0pWEj9hRoZcXJxorxa2h5p2xfa1gFyhIa9pUqewv15lyPtKshLCkHODgRpyq2Rlxw5qX7iIeRsv9QnT1jUG5FOnBpDbr71GD+ALLsDEiVVfb+9gQN6LspVXX6VPxg6qYCn82rX0ue1JAuRD5hMgnzSJLp/OmbPJ+pABuU6y8uab1bfmd9xR/U78dz20UQfk/TzimMaDw+n+8Kk1AcCRIdc8BRsa6MGjBOTGjE/HXaSsvLSFgSwP1M5OzTGaGPKBA/OTrFiKvwB6hryhoeq1HaIh539KgNwk+zAx5Bq3jYrSBMnGbC4rUndtgNzGsPPC8oJgH3IXhjxAsiIBcs1kTTnRUGjIpX7lpCGXNndkyKX7TMHcct+zSFasPuTC/rSAvFCgY3cApD09FpmGxvZQq9jLW7LS1kYXnvBbOgPyWkpWUqg9CJAPG0bnlVFhDSLY8vDZZ+nzxBMxYUKGYpu9BMjvvRf41Kdo4rB4Md0CjB1U0dxMLyz41O94ahl6UMCkM2YAqBYZ3TVpDq30wgs0q1EltY4fTwMbH+PChSRj+ehHabt6WENl8FSPfhS7d9Mz8rDD6P+O+LcSXoBc8RRsbdXs06hnkUP5oHWRrDgy5MoaDXlryHWSFWXHk4tMkhWgnPiooRV7lSHXTFRCXVa0khVVUqfL9rxQ6HuQD7ktqVPDkNskK9KcysKQKyUrpn6F2B4KBb+0BLuFIY9jP8mKliHPS7KSYsi1bw4dksIBGori2I8hB2hISNVTQ2WFYtGbIVe2BVSPWaB4nQC51Z9Rjjh2ZMh37swHkEcRgbkaOXTEMbB6Nbkresdzz9F5nzkTEyfSIe/da/iddNELgHzrVsqR3bePXCQLBeDYY+3P/ylTqsR392vL8TqmYtaxtBED8k0jZ2MMANxyCyF81Q0qvukYM4aKPZ10Ernq/PznpAnT3mD1AOoMeb8PTujMAsitkhXDU7C1VfNMCQTkJobcqCE3pO27SlZ8fchthYGAMmAsFmn0C5SsAGVQG2B7yP+snDOFZENiYzUMeVcXtOfFWbJi04ALSZ2ZNOQmlxepUbMPuU9Sp02yogXkKXTa7yQrFoa8u5tuQdekzqwMuTWp04Uh54YcALmxSifvc8CAyo9imVcQyBwyxJsh1wK91DEDdB02NFjs4wMY8vZ2ul+cGPKUUTlv422YUkPLvB076FETZHn4wguEaguFit46iCVnIFpDQH7ffXSpf/nLNI945hngkkvs202dWmXIm9cvw7qBMysveBiQrxpyLP1jyxbghBPUDYmA/M03gVWrgJNPBuaUXVrEap/1UEYdkPfz4AfFpEmE+XwBuVbOIYYFkOfBkHd0VItRVsJVQx7H/lU1gfw15DrJCqClBBPAq1Siv5RkBTAD8gQIVFDGCVCagSHv7oYVkKeTOiXJik0DnoeGPFCyotOQ+yZ12gB5sA+5JqnThXEHaL+Fgn7iAYS7rEgTS45QDbkGyeaqIeeGHAA5p8IYfciFfVoBOUDjmgcgHzRIX8AlvX8O6+EFaMiNFUvFyIshB0h/XCNAnslhZfly4IgjAFStt4N05L3AkD/+OF1yX/0q8L3vkXTlM5+xb8eAvKc7xphdy7FrbFXjUgHknZOAU0+l/3zoQ/qGAHod8dRT9G8RkLOovR7aqEtW+nnweM4yu34nWXF8JcvYOJFU46ohB+ihohGW+jDkNZGsAFpKMIHXOmValBnyihZdcT69GPIMGvIKQ674wSttpDTkkmTFw2UlWEMuzFCCJSsZbA9tkpUEGNFoyJXMPx9X+Sbxlax0dCjudV+XFc09ofX692XILdUznX3IBbrTCMgdclAAR4Y8xcoDDtU6PSQrWv24Yv8cToDcWDpTDgbkTkmdc+cmFrW20pjmbSYydizw8MOeG7lFMCDfvp3+yq+nMzHkAwfStcgXWg3i8cdJllMoAJ/7nPt2s2fT/b34/jdwTGkPikfOrHzX2kqX0KZNILeZJUtIhqKKwYPpTceaNXTdNzQA8+bRRTpwYE2Tdg+WqDPk/TxEmfWQITUC5AaGXLvPgKROqXlXDbnYR0UoNeRxLFk51qwwEDeuYciLxTLGUqAwb8mKAqG6SlackzpzZMhdXFZMzLRWsiKSAK04AAAgAElEQVT0PciH3KYh1zDkwS4rLpKV1IUcktRpA+RWlxWN/sHKkLtqyB0kK8WiJieEQyNZUara8mLIhYrCQG0YciMgD2XIAzTkCntx/YopyUoU0aIghnz7ds1Fky2CAfnKlfRZBuRcYGfdusCOjBxZM9vDzk4qpHnccf7b8jYP3kAOK6NOSWaBjh9fBuRDh+rBOMeMGcCKFcCCBcDxx9P1F0UkVK9h0u7BEnVA3s9DVHWEMOROtochGnKjJ6J6F8oqnQMGVFCCVkMOGJ98SslKVxfJQwIlK8rzZpKsGBhySa5h0pBrwHACTFcQfrW53JI6PSUrrgy5dA6KRTV2TonCbZKVmvmQGxjyIA25RrKimyRo+2XRkEv3mK/LSohkpViUZgJWDbkhqdMoV+F9piQrpZKm656AXAtCd+5MgE8nQO7BkO/dW0OG3BOQOzHk3d3UJ8VKw4cHasgBbzbfJVavpt+VddHOsWIFfZYBeWsrYepgonfEiJox5KtW0T1gclTRxRFH0Lix4u5lAICZfzYz8f24ccnihMY49lii6p9+uipxAZKZo/XQRh2Q9/NggiUUkNdMslIs0lPJ8YGjZMhTrJMRkFsYcmVJbyC4MJC3ZMWg/9YlUwIp/OwCAiXNRM62h5rzwraBUSlMQ+4lWXFxWbFJVrL6kBs05F4uKxbJijdDbnFZySxZ0dwTWskKA8WUwbOWIS8UqBGDD7lRrhLHfvIRj6ROZneVsWtXAtE5SVb6A0MeoCG3yneApJYyFUGAnCv21EBHvmoVEbfesWIFXRSCPGratAyAfOTImgHy5URuBwHyhgaSuszEcuwrNGPk0RMT31cYcpc4/XRiaHp6gPPOqy4XM0froY06IO/nsWtXFfvWDJCHJHVav5R3IT1od+2yA3ILowb4AfLMGvJiUQ0mDZKVhMMKoGfIXRIJJc1EAEOeop1dGfKGBrmxLC4rWiDsoSH3kax4+ZBrbA9dXFYyJXUqwLMLwAdykqz4MuT79imtQbQMOWBEkVaGvKODqEDXAjkeDPmwYalrRIwQhjxPQJ6VITe4VKWDSWomrZXBVToVDPmIEQGAfPRo+qwBYF29OtBhZcUK8tsWHlyZAXmNJCvLiNzGzJnm9XTxrW8BJ49Yhp7ph0mZxV6A/D3vIWb8Pe8BzjijunzqVPJlDPDEfztFHZD382DMGkUG+Ygh8gDk+/YpiVsvUbvyQZtiyI1Jnb4achtDHloYqHwyXSUrib7ZALnB+9qZIXfRkKcWJACpQUPe0IAqoDb5kLtIVnQa8tQ5cLE9zOpD7jIxMLYjHKDEkGv6o03qtElW2KpII1lxBeS+hYG0DLkGQWsuZQpDmUsrIFdo1nl9Zdcd6hgADhbJKYY8b8nKnj0Wb2sDQ27sQ3Mz3aDa2ZEcmzcTqDZKHRlx5yVZYTo+Z8Da3U3EbDBDzn7D5Zg2jdrTFoQyRQ0lK8uX00sGb1lOOebPB04esRyDj5Mp9vHj6THvhKUHDgQee4wqc4rAfsoU+qyz5MaoA/J+Hrt3V28yX4ZcW8wjHQbJijF306NDWsmKMIKEMuRKDbkCkCs15BrmSNmm8D7dhyF3kaw4A3IFQ+5te6hguSuLbQx5j0WyYpOcCAsyacgFdt+FITf5kBsZcuH64IqqJqtCKakzipRypmDJCqCVR0mAXDEAsGV+rgy5AkFrukiRhSFXVAbNiyHXSjRKJQLkIQx5Z6fFKJzCyJB3d1MboZIV3oFjbNlSVZBogxG3QrIybFiVQHcOBvY5A/J16+j0eTPkcUyA/NBDE4tnzKCfNCixkxlyj7cVrrFsWTg7DoAOas0aZSOV4kCuLLkq2BKxDsiNUQfk/TxEVYcvIOcHeVaXFe6HFB6UvTapU2DIOVex1zTkcayh/jWsuwmQuyR1GhjyiobcBZBn1ZBrAHlFsqLRkCcAuc72MIWQtS4rQqVOb9tD4YRIkpXECVVuQuHiQw4kqDAtqy00ogSiimsjOKkTUKB+CgmQ9/TQNZ66OZRzLkeGXHmfKSbyjY2068S1wWFAkVYNucL3PA9Avm2bAZC3t9PBCODT2fYQcBojjYBcMQnhcAbkHjryzZspkc8YBskKA3Iv3BlsYG6O1avp05sh37aNDiLFkB91FH0uXhzQmZEj6Ybwfc3tEMuXZwTkq1dT3xSNsN1jLoC8nthpjDog7+chvin1BeTa18zpMAByrmegfNOWlSFPacgBBSZ11JC7SlYSGnJAywh6S1YCGXJJQ27zvpaQZXbJShQJux4woOpQk+pDQkPuyZCbJCtetompc9DQUK23VDmYYtEsWYlju2RFgYa1IFpYnzXkCTDSVwy5htZWAnJHhtxHsqLsO5BNsqIAp9z1rAy5VrLC4NNXssLrO+jIjYBcU3wJ6AcMuQaQd3U5nfZqsE93zgz5qlX06Q3IUw4rHLNn0+fLLwd0hmd8OctWdu0i3X8mQL5kCX0eeaT0VS4M+bhxNA7VAbkx6oC8n4eo6hg0iECBhtSVwhmQGyQrxgJjHhn8WoY8JXqTsEbODHmpVAa/BkCuKKhJUQOGPEiyYmLIFQyxFpALGWwVHMw/koLRzaIhNyV1muwGXZI6U4crtcFMrXT8NslKqmGlfKarqzoJKDcpMcOKyZq2LVtSJ3+huG6lwkAaQK7E87yOrw+5QbICGLzIQyUrBoZc2XUuDGSha40MucJRpLGRfnKrywrQtww5j58egNyJIbdIVoAA2cqIEbkD8tWr6Vpkltc5Uh7kHEOHkhw6CJDzjC/nY+SuptQ1fsGAvFyVVAwG5EEFkTgKBTpxqozY7u5AUf7BF3VA3s9DJJGNDx5FaB+i6TBU4zACcgPTlQ6thjzF+oQw5D4acqB8XgyAXMle8ropQF7pa0aXFWfJiqvtoYAIbQw5t1FhyPlYU30oFqEE5CaGXCtZcWTIXTTkyjaEBSmVjXRjaNsQD0B1LLywsbFi+6ctd+9SqdOVIXeVrPgw5FFkdB7STu6VN7bRDCabZCVEQw4YE7i7u2mcNXqQAwnygJPseX6gDKPeL7n/zs7+wZDv2UO7szLkO3fSj6zIRA0G5MOH14QhnzbN4J6jixUrCEQqxOfz55PVtrcUnAF5zgy5Zu7gF0uWAJMmKSd9nOCbiSEH1BY1ixfTxXb22Rp929sr6oC8n4coWTG+mlWEl2RF8xS0AnLHgV7aRWcnIQ0bIM+ZIef1TYBcO5ERKMgghlwBhJUuK6mRPnfbQwmhCjhYoyXWaciVPuSOLisu7LZNQ65k2TWgXgLkJg25i/SHNxJAtNLFRHFtaCUrLhpyg2RFusd4fSG0uNvgze/LkIdKVqyuUAaXFSMgN4wfjJd9GHLAwUTFUbLCp6I/aMjZBtyJIR82TPKfBzIy5DXQkAc7rEyZomSzzjsP2LgReOUVzzZrJFlhdU3QcXIsWaKUqwD0E3tZH+pi6lRZsvL979Mk7OGHgfvuy7iDAz/qgLwfRxwnAbkvQ+4lWdG8Jx42jIiCPCQriV1oSm5LgLyxkTrgqyHnk6QA5CbgWfkeAZIVBfrwsj1UJBLyPrwZcg8NeaINzUSlIvlIyV0kyYqHy0oeGvIgUJ9Cl/wb2OwTtTITYYErQ+4iWTECchfbQx/JCmC0AjXaHiom86GSFWdA7pPUqf2SgoGjsSgQIMnrrIDcMamTOY1Qhrynx2Ax6cmQMyB3Ysg1pTz7i2QljokhD/Yg11DO559Pj6SbbvJss4aSlYkTLbaZpiiVgKVLtYAcIECeSbICEEP+1lvV67mjA/jNb4APf5hwwB/+kHEHB37UAXk/jo4OenCnAXlNGHINIC8WadxVTuqbm2knDq+aJMzvCsijyCqNyZshd5GsSEBQA8hdNeQVyYq4Hqrf5cqQKwB5hdjWJPc52x4GuKy4aMgl4BrAkFdeW/N35QsikdQq9kPcGMrTpgXkUnEgFx9yjWRFqffOW7Ji/CKcIddKVkIZ8pCkTu2XFFZArlkhL4bcCsgtDDlgODxPDfnmzfTplNSZNyDPWbKyfTv9Pt7MMVseagD5hAnAxz8O/Od/Ar/8pUe7fL5qwJBnkqts2EDXh0I/zpELQz5tGn2ybOXZZ+na/sAHgJNPJh3Q2zzqgLwfB4/jaQ25KyD30pAbhJujRhkYcsDKknMiamIXGkCuxBqcmKWJIA25wVXCyJCbXFYy2B5WJCvieqjuw8SQJ8BkXgy5TbJiSuo0scoulTptziYKyYqLbEbHkHP/bAy5UUOOZJOuGnIXhlxK4q6Fhpy/CLE9DJGsaO5na92E9nb6AYQDtRYG4n5qor8w5FqG08KQA4bDC2TInSUriugvkhV2WPFmyLdupd/MkCX5ne9QQcqPfAT43e8c221ooGsoR0Aex+RBnktCp4Uhz0WyAlRlK489Rp+nnEJ/L7/sXNn2YI06IO/HkX4O1ExDbpCsAATIt25VfOHk/aVUj7gz5LyhZh89PfTnw5CbpBmARUPuKVnJHZDXiCF3SepUaciVzHIcV2Q3LpIVSfJiYti5jZT+2yRZsSV1ao9D7AAUkwv+PkBDrpxo+NgeukhWUm8CxM19JSu+todWyUoWhnzw4IR22UmyYhijDJba1RUGDpQ6ZgXkjY20/xoy5NYUG08NOTPkXMleGwbJiofbYzJGjKAD8fJL1EfelodiDBlCCotjjgG+/GWPBE8uDpQhFiwghn7zZipQtG0bcNxxGRp0AOQTJ9JcycOsRw6eGXEW6mOPAXPm0O9+/PF0EoMM3g+eqAPyfhw82NdcQ27xGtPqxxzZFx5fEwy55iGjxLUGRk3LZu/bV62SWI48JSs+gNzkspIApUq6N4XBbbaHWSUrNkCe0n8oJSvCsSolK1EEFAq5MuRZkjr5n0qGPFCyIjHkGslKsIY8hajjuLYMubKp7m66cEMkK11dSqmbk4ZcMWYUizXWkCtqklsBOUDbZQXkTF4oVshbsrJlCxEwCsOtZBgkKwMH0l9wtc6cWHIuCsRKCedwAOQAHeNVV5H8etkyx7ZHjszEkMcx8LGPkX79b/8WeOYZWj5/fnCTxEyPHm2chaXVJkExahQwZgxlw3Z1AQsXAqedRt9xxaVXX82wgwM/6oC8H0d/kaxMngysX0+DwVVXAR/6UJkR6AcMuVXbKjBpmW0PbZKVDAy5s4Y88Z9qc5XiOLUG5DbJSoqyVrqsmOQmLhpyW1JngGQlheGVv0WekpXMDLmivVIpIyB3SOpMNKWcaVv6Lq6vSBxWvu0So71dKd0YODAckBsstSl27lR+6QTIHVZyYshbWiiTMBXWw2tspD8PQG7Vj8exUbICVKt1egW7kOQEyFetIjLJO9lx5Uoa3xyQ/Bln0OfChY5tjxiRCZC//jpNNEaPBn77W+CHP6T75eijg5sEXngBmDdP6ZjDwW8ZeJITFFEEzJ0LvPgi6cf37KmewEmT6BqvA/J69GWUSno8m5as1Cyp0yJZmTyZ9vnII8CPfgT86lfAokVwBuTK53ZOGnLNW3kl65+ZIQ8oDOTlsqJAMaUSPf9sDHllswyFgRJJnY4a8mKx2sfETkwMubBtqqtKdrtMqFdDkdTp5bKiuGhSm+Sb1KmxPSwWU8/AlICav3cB5Mp73ddlxcKQNzSkfgdDhV+rZAWQ9qWVxYjBkhVFk1k05IWCslkKA0O+Z48lpz0vhlwxCQEcnwktLV5JnVb9eHs7HbRW45MRkOeU2JnJ8nDqVIfXBFQdc+RID0CeUbKyaBF9/u//0ul/9FHgnHMcSDdddHQQCLZoXvg8sgwoOI49lmQp995Lg9uZZ9LyQgGYNQt47bWMOziwow7I+zguuoj0WSyrEkOnIe9tycrhh9PnN79ZXfbUU/CWrCgZcpsPOW8YypALkVlDHihZcXFZ0QFyJZg2AXINQ54AtXkw5ClAXAElGoa8siuhZCYXuLS5tKReCCTOQSbJimdSZ562h4p5lV2OxKFI6uSfK5MPuYUhd8nTEPstdkHaDyANZE7jlQacap0UHeoYMAGuJQgNDDl3SRtDh1oZcicfcs1swRmQe/iQWxlyBpRs46eIIECes2RlxYrAZMeVK503jCLghBOA5593bDujZGXtWvo85hgix047DfjWt4KbI/lId7cVkI8YQZdyZkB+wgk0oH3zm8TKi9fQUUfVGfK+7sDbOTZtoonizp3AT34if8/jeKhkJY/CQADlXQDAQw8B73wnPeNWrkTvSVYsrgy8XSLyZsjj2F4YyBWQCwhTKVmxsbsKyUqleUWmpKRy0RQG6u6Glto0acgTXU4BWZNkJbFf8WCE2vOK+YddsuLqQ56aGNkYchfJijKpUyFnUh6XwmJEeVllZMhDNeTKhE7A32VFk53uJLEzMORZNOQG9YWRIQccnFYONoacAbm2klIgIOcfIQdAvnMn5T3NmhWw8euvewnPZ84koOqU2DliBHUusCrl2rX0c44YQW6Bjz5afT4HxQsv0Oe8ecbVooiOMzOB/e53V3HDFVckv5s1i0BRzsWhfOLJJ+m89lWNojog763Ytw+49dbqFBfAn/5Eny0tdGOlo9c05BbJysSJ1QTpyy6jAmZr1yJbUicD8pTAr5YMuVJD7loYiHekY8ibmug/qVE5gdcUFKuyMJAnQ57oi4Yhl5IiE40KgFRDbZo05IndpYCsUrJiAuSpBhWSebekTgUgryh0MjLkedkeSsel8O+sBSAPLQwUwpAbAXmODHkWDbnBMKS6goEht3qR5+GykoUhd6yo3N5Ow6wzQ543IM+RIWfg6A3Id++m42OLPoeYMYNO75tvOqzMjHDgMa5dS89fg9zbL556ivo0ZYp11ZNPBp5+WnNPu0ZLC1XlvOEG4JOfTH7Xx4mde/YA730vwbRLLqFqrL0ddUDeGxHHwKWX0tTr2GPJiB/Agw/SmPaJT1CeQ6pAI3btouuXH9w1sz20SFYA4Pbb6S3TJz9JmvJ165CdIW9uTuiYAU1uZH/QkKc0ARIzrEEgNpcVm4Y8mCF3AeQpDXlXF+wMuQaQVwgfBUMuyWVsDLnQR61kxaQht0lWFBeNNqnTlmDqAsg1GnLpDYxCsiKdH95Jf2DIlTd2cpdalxVx+3I4A/IaaMhrypA7JHUWiwbJci8x5Gx56MyQ5y1Z4XPsvaEcwYCcCTMPQM7qFpXsVAo+Z8rCHvZgQJ5bPPYY6V4cEP6pp9Kjnkn14DjhBOCv/1p69vc1IL/zTppU/fSndD/dfHPv96EOyHsj7rkHuOsusijZswf4+tcRxwTIzzqLCmTt31/B6ZXYvbs66AM1tD0UkhV1cfTRwD/+Iz00xowp+5JnSerUsD7K3EhDpc4QDblrYaBEm3zSyydT0j8bAHl/0JBLgDyVUVhRebgy5OUGtRMTgeGWHFJUyaTiAuEcKBlyAaXn5UMuJXVmZMilSp2685lu3JUhT123uQByiw+5liEPdVk5ECQr+/fTtlkY8rY2mW0RgucYWkzUSxpyLgpkZchZA+3AkDv7cwM0LgwdmhtDPmhQAHjlojUekhUvQM6zHZ79eMa6dUSI5RIbNlDmK1sPWuL00+nevPhiqlZ666059YNj8mS6zvvIi/yOOwjbXH45HautCmupRMm1zz6bXx/qgLw34sc/Jv+lf/s34MorgZ/9DKue24ENG4Czz67e0Gx/ypEmZhoa6M+XITc+4OLYiSEXY/To8gTfUbKiZcg1gFwpWclBQ57Aqg5JnYk2U4Cc20tIVsSNy5HV9tCbIde4rEjgL9VGqIbcxpBL3fVkyLUa8jySOk0+5C6/BX/vIlkxTdQ0fVL2i9vrZZcVpT94b0tWenoIWPokdTL1bACkRgc/lpsoNC3OgDyOjZmfbW1aApyivzLkFpeVzk538iixYU6A/MgjlU6R5mBA7sGQM+hft85h5fHj6TOg7GVPD82FrBMm17j7bvo8+2yn1UePBv71X+kn6ukB/u7vgqXw6oiiPkvsjGPggQeACy6gIeOSS8hfXlAYS3H99cAHP0h5dXlFHZDXOjZsoMzNK66gB8Nf/RXQ2YkN/0rTy3e9q1p/ID3DVr0pNWBTKZwY8q4umup5APJRo2h83wd7FTzA4LLiCshZsqJgmYwMeYq5k4BrseguWVHMKhJgUoFA4jgFKA1JnbrCQEpAbmLICwX6CwXknhpyF4ZcSih10ZDrGHI2XDcx5BoNuYkht2nZhS6FJXUqzqcSkLsy5KVS4mnoy5Cz57f0RQhD3luSFQaVinFDqyHn/YUy5AaTcmfJCmDUkVsBuWGFPDXkzgz59u3UpuGtKp+uIB15ToA8OKFz0CCHUqXVaGqiZ6KyeF46eLYTAMj5tBiUQn5x++3EBrJUxCH+5m8IqH7/+3S8meUr6egjQL5mDV3W73gH/Z/dGB9+WL1+ZyfwL/8CnHhiwKTPEMamoiiaE0XRU1EUrY+i6MYoioYL3z2TXzcO4vjlL+nheeWV9P9584AjjsCY+3+OKVMoIWTiRBrbbAw5YHnwpGL/fnqgGy8YfihaJCti8Fj11o4ibRea1Kl4sCrZO4NWx0dDLmFmDQDJC5BL7TBdLLybDpKsmBhyqWMGyYoQEkOuAJDFItw15CbJShYNucZ20ctlReND7sqQ56Uhl4C91LjB9jC1E8ULHCMgBxSXPktWFDqDmiR1+kpWNFap3AUtG2sA5F1dxCcoJOIUhjKezgw5EA7ImV3XSFaammg4yYshLxQcsOj27VZUmAmQZ9SQ795NheyCAfnUqd5Zk+PHO2LsYcPoBgwA5A5KIfdYu5Y0sx/4QFCGKKtcnnoqh76IMXs2CbmdMmTzi+eeo8/jj6fPo46iS/yRR9TrP/AA3QbXXgtcc3p+J8GG7W8A8E8A5gBYDuDxKIrYal+XglIPMW65hdKT2Vk/ilD68Ecxa9vjuPTE1ysJb1OnVt+WcaQ15IDlwZMKaxlqwPhQ1UXiQWTQd3P4SFa0hYHEvgoR4rKSCZALs4ogQJ4CXN6SlQBAbpONJDbRICmdhlzrshIqWVEw5BIAVuw/SLJiSup0eVvBO3aVrAhAVytZcWXIUzvxlaxIfRQ31hS46nPJisYqlbsQwpBzk+lxthIGQM7dcGLIDSu1tRn2v3cvXTcaxB5FDm9NPTTko0bJuXZSbNtmRYV9yZCzBNmD+K0GA3LPmDDBkSGPIg/0ngyHXFr3+PGP6fMTnwjafMIEumaXLcuhL2KwH3qewmyHeP55Ghf5mikUiC3XTTjuvptuyXPOAa5+43O59cMGyAfHcXxfHMc74zj+ZwCfBnBfFEUnAfBJ13h7xuLFwMsvU615IV6eTf//EG6pLJs0iWb1YuzcqWbI+xqQ87OhrQ1OgFzLkCseMkqMPEgvjfHRkLsCciWOURyETUPuA8i9XFZMtofcqIkhT8lGEsfCyZ4pUFbZhNstv3bR+pDrJCspdl4qDGSTvKROSCbJSkpDruxHXkmdqU5Kx6V51eMLyKXCQJx9LISRIVd+oWHIDW/XjJKVUEDe1kafvoDc4NJkwPgUjCgVeulikYYwI+h0YMh37zYw5IZj5nAC5Hv2WDMsnTzIAUKGtQLkOWjIuUiPpdaNOgIB+fjxjoCcV87AkGcG5B0dVPjkoouCLVuiiMwoli7N2Jd0HH883VhPPJFzw+ZYsoR81sUx7uSTacKhKqy6YAFpx5vWrkDr4t5jyKMoiiqQMI7jhwH8BYCfA8hsvhNF0XlRFC2LomhlFEX/oPh+QBRFvy5//3QURVOz7rNX4xe/oIvrAx9ILP7tc1PxOE7BUYt+XhkkJx9SwnHLfgV84xsVMV/FH3fTJuC664BNm0wyTymEOjbmlQAvyUoCkDu8Du3oUNh6aZwDfBnyXpesBDDkCdtDEyA3sLKNjVCI0jW7dpGs6AB5FClRYIIhT7mkVPqv6Iy3ZMUlKVTYj5Ih10hWvHzIFUjfRUOulOBrJmuZkjpT7WkZctY0CKEF5AZv/lwZco0ELYtkJVRDbgXkBg05QLjUWAmdAbmFIdcCcsMxcxjKNFA0N1cLmxnCqUonUFtAngND/vzz5JYxcaLnhgEe5BwTJtCExinJMSMgzyxZufVWcmX49KczNVMTQN7SAsydCzz+OP3/gQeoVPjf/72nZY9fLF9erUjOcdJJ9JlmybdtI5n7qacC+N3vcu1H2lAsHd8GcCSASpfiOH45iqJ3Abg2y46jKCoC+CGAcwBsAPBsFEV3xnEs1oL6KwA74jg+NIqiy8r9udTUbns7zV6q+0nvN/n/QoGWpf9KJfr9OY+Ql/P6nDvX0FDND2xupkEgikCj7I9/DLznPTQ6lCOOgdtuA1qO/AROWfKX9O7j/PPx2Wf/EnN2/YrO6i23oOPhJ9HRMZQA+cc/TtaJS5agqelWNeukCKHSuz56iSGX+qGRrAwYUM0zrWjfHRjyxEO8VKKDdwHkroWB8tCQa4Awf2VlZflidJGsmCp1avpR2d5k05cC5DaGXKkBTwHyxEPMkyFXashtkhWN/WQetoeFgkIyLqL0sjORVoqTQqNSv8R1BERtBOSazaVxxMCQ94btYVaGvKODxldJEpsFkBskKwCBI2Ml9KxJnXkw5Nx4e7txnN+yhVhCa9RaQ75vn+PrXXU8/zylanlLo9l3eNIk732OH0/j2FtvOUxqxo+vVgX0iNwkK7fdRhaD73pXpmYOPxz4n/8hPk5b1Cok/uzPgK9/HVi4kMjMXbvI3uW973W2aPSJ7m6qtHrJJcnl8+fTeP7UU+S+wrFwIX2eeiqAf36Sbprly3PpixGQx3F8i2b5OgAfz7jvEwCsjON4NQBEUfS/AC4GIALyi0EadgD4LYD/iKIoimP9VGnZMvk3m4GVuBh3YCtG41a8Hx1wB58cQ7ALMSK0QRb7DcJefB9/hz/H7Xh24JHApZdh/t5HEO3aRebdQvzxj/R6ZPyNlwHf+Rp5k8+ahTmLH8CX8P/wmV+ciPGXn+z9JTkAACAASURBVIvSZz8H4L9w5PaFBMYB4O670Ty3C/v3u8n3e0Wy4siQS823tyvvYtF1r9J3Xw25pmCJhLHyZMh7Q7KiRIRuDLmJpeY2Esdisj1MAepK/xWdsU0GvDXkLpIVFx9ynkULm9gYcmVSZ2en9JtK8xmFlaQ0UaklQ56KEIZcm9Q5YIAya1yjfKLIqiHXJHVyG9L8YNCgKrDVNGkE5E1NWmZj5EhHhlwDyOPYoiF3ZMiNgFzUsWsyNuOYGF4rmIxjJw15cI0flgbt3Bnk77d3Lzms/Pmfe29a1Zx4U+tVzm3rVkdAvnOnt93wtm10q2kTkF2iq4smA5ddlrncJ89bNm5UT+R27wb+8Af6LazVwsX42McIkJ9yCl27L71E+pHf/KYmgHzNGhrb0wz54MFUf+XJJ5PLFyyg45k/H6R1P+us3AC5k2FLFEVH57K3ZEwEIKqmN5SXKdeJ47gbwC4A0vwwiqJPRFH0XBRFz80YvBYPPhDjwQfpbcern/8vLG+YhX/B1fgfXI5tE+bguW8/hPvvJ3D8+I8W441TL0XXgBZ0DhqCDadehie+/hDuvivGvXeX8OxX78W2OadjF4ZhVzQMm094Dx788Sr8/vc00fzD95fhjUkn4uPRTdh57JkYhW044b8/hejWW1H62terabugxOarriLZ1ocub6QLbP9+YOFCLPvUv+N6fAnLDzkLuOYaNP/6ZlyAe3DKXV8kYd9PfgJ0dGBm92teDHnNJSuODHli3OnpoSc1A20hlGDBV0OumWRIGEtTCMVHQ14BSwowLfWtDwG5s2SFG3RkyCWGOmeXFa3W2pbUadOQK3T4yqROT4YcMAByF8lK3kmdPoDcwpArJSuacUOjfKJg/VqoZEXDkHOXlF9mYciHD9eCl5EjLQx5SwuhKI1kpaODrquaMuSOiaUdHQ5gsq2NflQLTTtwIPXLeG5UwdR6oGzlpZfoReK8eQEbs4xkwgTvTfl0OB1voBf59u10KWay2Vu0iK4DR+9xU/C8RVdi/v/+X8L9KU7SHtOmAf/+70RB3303MGcOCbYffdS66T33kBWhT22h1avpk303xDj5ZODpp5NvcRcsoGKjA7e/Qb/h/PnuO7OETbKCKIrOBrHUp+S213LTimVp5ttlHcRxfCOAGwHg+CiK33Xbp+hq+Pa3gR/8ADj3XOCmm4AlS9D8qU9h3jVnA+edR0+Ahx+mwe7Ky4GuLky8/XZMXPBrQs2lEmVaTpoEfPWriPbvx9gf/ABjP3MUGXIOGwZ897s0+tx3Hw4791yUemJ89/KXcdMvB2L+0sPxX2Uy7uabgauvph/2wQfLD51jj6WruacHWDcI+GE5sfO667D3lt/jntcvJG+bm2+uAPsZnUvwSuEYpxPca0mdlmwW6bnN+1QAcuXrdF8NueaYWGbUn1xWEgyzQn+RwJ+9BchNDHmHRbLi4rLi4v8tbK9kyMsLtUmdNpcVBfA1TQyELsmAXOFikrisFMJyrWQl0PYwF8mKL0Nu0cRpATmgFH1nkaxoSHcKg8jaCZBrTcodJCtRRIBYw5DzIWXVkDsBcoNshl3mBHWlOhhEMqg0xOjR5YrOPsEMeSAgZ/u6IEDOzzGHY0vHqFH0+dZbDiuzRn3NGmD6dOd9WC5Ft3j5ZfoMynhNBgNy1eM/jsnmHCCZ9T//s2fjn/50UuN++umE6bZtM04Gr7mG9N3/9E/Ab3/rtis201BVQD35ZOCGG0jVMHs23a/PPUf7qTjB9BYgj6LowwA+D+Ddue2xGhsAiGKtQwCkf1peZ0MURQ0AhgIwvSCkKf4NN9AfQOWkvvtdeopOmkQX5PXXA7/6FS37ylfoh+cf+Qc/oKSH3/+evr/+euB976s+jf7mb4AvfYmc8eMYePe7CewfcggAoFCMcPXPj0HXLLp+nniCQOCqVTTh+9nPUvdguV1+/bN+PYABA/DMNb/Djqu+hOM/cRwmXX55hd0Y270xX4Y8AJAPGECnpgLILcbokmTFsE8le8eA3FVDbkk2SwByDchPVZbPz4c8i+2hEhH2D4bc5EMu7Vt3DjXbJ+ZtLhpyFx9yGxPtwpDHMR14IEOulKwcSAy5ZYDRVgTlfeVsewjUgCE3lvGkx8aOHamcl3QMHaplp62A3JEhN9o2OySWMpC0epD3c0D+xBNEcAeoTghZDhkSJIj2YshZ37FihZeO21pAyiUWL6YBddq0jA1VXySoGPJNm2j5jBmEfd54I+jFQzVOPJE+X3xRe8527arWFLr7bnUdF1WsX0/3ruqS5sTOJ58kQL5wIQ35Z54J4JFn6Vk4d67/8WjC9vLjpwDeF8ex723lEs8COCyKomlRFDUBuAzAnal17gRwefnf7wPwJ5N+HAAB44ULCYQ/8QQlA4hPvkGDgK9+lTQ/r71GgFyccQ0cCHz0ozSt+/WvybJQfKhNnEiZDNu20VV3330VMM4RRfSa5q67qArnoYeSOuXRR/UT4uZm6gaX390w+Ahcgtux7/PXVlmWwYMxpnNDn7usRBENDG1tcCodKjHkDKxdGXLD09ZHQw4oALmGIZdsFBXnSdJdpzru4rLCD3EvyUoeLiu6wkDcYaEPnOCs0pDbGHKJCbZV6nTRoPOGUOLmIIZc6gfPyBTtJCZYiQUUAwa4achdkjpdAXlHRzXJvBK11pBbALmRIVcUVLBKVtra6P5LTSYBB4Y8i2TFAshLJSP53H8YcgMgZ+DsDMgd/BHHjMkAyAOKA8UxFXI544xAeXQG1MgQwokhnzCBfjRP3XFugPyoo3IpL9naSn8qQM4l59/zHvrM7MbCBuGGKp68jy98gYamP/7Rren16+lylp75IOw2alRVR/7ww7TeO94BYshnz1bimNCw/SpfA/DTKIr8syAtUdaEfxrAHwEsAfCbOI5fjaLoa1EUlX9G/BTAyCiKVgL4ewCSNaIy3vEO0oecfHLe3a7G8OHWQenCC+miuO8+4P3vtw8Sohc5EwQV+9soAiZOxOjODX3usgIIgNyxMFCtGXIXDTmv5+JDrnWUEABIHgw520Rn0ZArddw5MuSJ3Xoy5ErJiktSp2771FsCow95ee7uoiFXgkfFeWSHpURfFAy50oc8dU7zTuqUsHGoZMX1ntC0b+w7h4EhN2rIQ0rIOwByLSnqIFkBLMzo0KFaQM4YWZvU2UsacgbOLL3QhidD7l1wMQNDvnw5JaaecYb3phQZAPmgQfSYcmLICwVi6tKluS2RCyBfsgQ48siMjVRj4kQ1IGccc8459JkZkI8dSzebAZAvWUKfV1xBt6wPINcZ60QRseQMyP/0JyLrmwfFpF0RcgTzCCMgj+P4/4FA8e9z3Wu1/XvjOJ4Zx/GMOI6/WV52XRzHd5b/3RHH8fvjOD40juMT2JHlYA0RkCvdtg45BCP3uTPkXpIVD4Yc8GfIE9g4R4ZciYkyAnItQz5ggFT2PisgB4TiOAZnj1w15IbCQHEMiSE3AXJvhtw1qdORIef9Kx1SyjaRrgy5BB5TiFKbYGoD0QoNeS4Mecr2ULqFQyUrKaAcx+GSFV8NucI2vRqa2gWGrlPwGKV4udreriXdKSrFINTBzKjRaWXIkHDJSns7nRTDxKdXGfLNm+k3dxAzB0lWMiR1PvwwfZ55pvemFBl1FaNGOTLkAJl4+2QeIgdA3tlJE6oc5Coc48fTJZEOxjEnnki3bGZAHkXEklsAeVMTzXXOPpuIUBfrchMgB8hEZelS4M47CYNfeCEoE3T79lz144CDy0ocx78A8J1c91oPZUyeXJWsbN9OF3LioX3IIRix148hd5aseDLkgwcLDPn+/caKCB0dGsmKK0NucVlpbEw9xH0AucaHXAnIFTaKWW0PuZ1EUmdWlxVbpU4NQw6UMayNIU8BanEdJw25B0OutT0sL+Q3DKbEUP6uMo/QaMgTbSgWatl6GyDXMORKlxVF0q/Ur4wMuVWykvpCM1dwkqz4aMgthLsTQ64E5FwYR9EZTTkEiji2asizMuROGnIDOw44AHKecVg05IMGOcinN20iFOagCRkzhvplccVNRlMT/V4BgPzee8mLQeWWYY04zgzIrY47Ypx0ElUFdS7vmQMg37CBjlOVvRgY48bpAXlLC81lcysgdOSR5GutiTVrKF+2oYE8O954w4jfAdDpsAHyD3+YxrKLL6aXGx/9KGqS0Ak42h7GcfxQrnuthzImTSJCpq2Nxj1JETNhAobu3YT9HW4Vq3qNIQeMVeAkhtzXZaWxke4yAyCXdggoAXkC4Pgy5KlzZGPIlbaHCiquAiglG5gaMeQKQJ5ow8SQp/TnkmTFxWUltb2X7aHiHEhgOgXqlT7kLgy5Qose5Izi40PuwpBrXFYyS1Y0NDOv59q+se8cCg25dbwyoGdNraHqvjRfGgH5vn10ABYNOeBQHCgLQ25BYVZAzjlIFobcyo4DJA5O5UzpgtsLkq14asjb24H776faMUH68R076HruLYb8lFPokytSOkRmQM5s35TMRdYrMXZspbB4IhjkRhER8qwpzxSHHUYnWHNtbN5cVVK9u2xDYpOt7NhBsMIEyMeMoUKhAPDFL5YvkWeeocFq9my/Y7CEqw/5+6Moai3/+8tRFN0WRVF235x6JEJ0WhEvrkqMGIFi3IOm/eoiF+lwBuRNTd5JHi0tZXxs0HeLu8jEkANaNxej3juDZEXZpicgl/CahOgoKhpyqYMZXFYCKnVW9uehIbdV6vRO6kyx20pAL64HBZhWgPrEJhrbw1KpWgy1stA0scnAkGslK72gIfdlyLXa7hpIVozjVRbJCqAco4yA3FKlE3CUrDgw5EYNuYUhb26mn9pYtt3g9AIQILfqxwF1jXFNMKHkXSV++HBvhvy+++j6CSoIBGSyPOTwYsjnzqXjvEVZe1GKUoneNOQCyHNmyNvb5bcgIuvMUlwX+YgxDj2UPjXa+y1bqj76hxxCCpc//MHcJEtrbMVZr7+ebuFvfau84MkniR33qnhkD1cUdm0cx21RFJ0CskD8bwA35NqTelTuk/XrNQx5WcvY0uk2WDm7rHjKVQCBlTFmU2l24cuQ8w4VD1QteOZtUpEAOIbCQN4MuYYFFb+ySla4gzYNeR4uKyZA7qEh1yZ1mjTgLhpyHaBXTEq0DHlKsmJL6hTXrWwQoCGX7P40PuTBDHmtALnG9lDLkPdDyYpyGGIdRiggN2jIhw0jFtAqWdm/XznWMEbW9sGBITeUaahGHgz5rl2EelRlGRXBzzPGgc4xbJg3IP/lL4nJfOc7LSvu3Qt85jNVw3IOBuS9xZA3NlI/7riDbJYt4WC2Yw/+IWzo0yMYAKdZ8jQg37fPMml1icMOo08NIJ+88Ul88cUPVeQk730v5RWsXKlv0hWQA8KkuaMDeP75stVKvuEKyPlx+2cAbojj+A4A+U4N6pFgyFmql4jyg2FovEPWlSrC2WUlCyA/GBjy1NQ9SEOuSdwTv7ImdXKjfSBZcWHIi0VIDLc2qTOry4otqVM4jy6gXuyrTrIi7LbaTo005HnbHubqsuLqftLbkpVQhpy3YVQjRFaGvFikr41AzJBU2dZGQ1vKhTS5ggWF8XxDcXjJPhi8Gd96ywGQs02fIyBnZYS3XMGTId+wgRLurrzSkJzLceutVGvk0kuTy3MC5Dt3KnI+dHH11SRduewyKyi3Sptc4o03iMb3lKeaQgXIOzvp/yIgB6rgNzhmzKDZrwKQd+yLccOej2Le8l8BH/wgUCrh05+mMej66/VN+gDySjz/PA1sfQjIN0ZR9GMAHwBwbxRFAzy2rYdjTJhAypGlS+kG1AHy4dhhTewsleiacZKsBNygvc6Qa+wVfTXkEiCPY2kEzUtD7p3UKXXQDZArEyuzMuQ6yYpNQ64A1EEuKx4ackmyopDNJAo9aZI6xeZVDWeWrJj06BltD5Vvw3KSrGj9wbNKVkI05FkYckV2oRGQMyi0OIqMGuXAkANKQLxjh5GAt3SQwnB41XBgyK2SFc6Qc5SsDB5MSa9BgNxDQ37TTTSMf/zjDiuzf93atcnrLyfJCuDBBA8eTCLn+fOpOKHhGZoLIH/zTYdSrH7Bb/HFxM6NG5O5o7kB8oEDqTEFIN/xp0U4FKuw4ahzqRLRI49g3Di6Jv77v2mRKtavpzF97FgQaPrWt+i3MM2wFy6kzxrYaruC6g+A/MLPi+N4J4ARAL6Qe2/e5tHYSOMBJ/DqJCvDscNqfah9zZyOrJIVC0Pe1UVgzdX2UAsWNJlLmRlyxc56G5AnGPIAQM5OIyaGPMHASQsUDLnQh0RSpEayUtldyvZECahTGvSsGnIXyYokD3FlyPNM6jRV6jQw5JK2XWN7qATkiuuNF0n3WLFInXJN6swqWUndz0prRTEckjpzZcitJuEUVkBuYMitgNxBQ54VkHd00HmwMuR/+hMdrCMgB4glryVD3tEB3HgjcO65jlXoX3uNPnt6klqGjRtpvwHPQg523PGSZjQ3A9/4BoHlu+/WrtZfAbmKIU+zzrkBcoBkKwoNSved96KECMs+/xO61n/xCwBUoLGxkepEqmL9evJSLxZBBR//8R+BH/6Qyqrrkh/uvhuYMyf3cwlYAHkURc9FUfRvAE4DcG8cxysAII7jTXEc3597b+qBSZOqEzCp/K8HQ24tQ80RKFnh52k80MyQKwuBGgCzL0Ou1ZA3NirfA7sAci3Ir6FkJQtDLm2mAOQmllps0sqQ25I6eUUToM5ZQ+6S1CkBclcNeUBSp01DzgDblSEXd1XZgbgN/HzIo8hQ1l6RVxGa1BkiWdEqYDo76a83ATkjXIsX4MiRFsmKgSHfvr0K5JThIVkJBeQMII39KJXIxuScc7wMAKZMITs6rxg2jPpqzFKluOkmwk3XXOPY9uuvE5gCkpUyN25UPHD9gs+ft2PjmWfSs/2BB7Sr9FdAPno0jSciQ54G5GPH0ljgnUugCk1BpQHPLsDLOBpD50wGLriAQHNPD8aPB973PuB//1cNUTZsEOQqN95IrimPPkpfnHmmXE1182YCaMHZw+aw3VknAbgdwBkAHo2i6N4oij4bRZGbiKwe3jF5cnUckgpqlQH5MOy0MuRegDxQshLHQHeTmSFXYu+9e+nJqwDMuTHkmkmGZHuo2FkQQ14opGhqje2hTbKiAIG8WOeywvtw1pBrCgNV9meaFGh8yBPPToGydnFZSWzrqiF30aGnJCuV0LisCLutLqyBZEWZm8szl5Rnm/QGAqCDKRaDNeSA1mBI6c0fanuYq2TFktVWLNL5zFWy4gjIs0pWjEDYIamT+x8KyHkxd1MZr7xCNCj7yTnGnDmEaby8yPmVgUW2sn8/6YNPOcWxOmepROidVxY9rXMA5Nxt7+TFYpFkK888o10lF0C+dWvugLyxkSakIkOezh0tFOjU5saQb9+ePMlxjNaVi/ACjqN76eKL6VifegoA8JGP0K33kMK8u5J8umcP8PTTtO1pp5E9y5YtwNFHA5/8JF3/APCv/0rA58MfzuFg5LBV6uyO4/iROI7/IY7jEwH8FYA2AF+PouiFKIr+sya9ehsHFzUoFhXjQ2srSoWiE0POz7paSlYAoKPgBsglhlyzz9w05Jr2lQx5ChgEAXKpcXeXFW/JikaGYNKQS5IVTWKor4Zcy5CbJCuODHkcGyQrwjnwlqwoXqsoJSupzuWV1KmcV1nkJUodea0AeY4MuVGywno2l+YcSsgrMH5ymxRD3tNDQ0rNGXKDZGX7doNkxfJWgMOJIR86lE6O4gfheYIRkN9ffiHOtdAdY/58Os+LFnlsxCfEQjXfcgvh6GuvdfQef/NNup8PP5wStkRA/sYbuQHygJpGwAknUOVOzY/Il04wIO/qooutBjKLdHGg9evpXIi3jViFPFOonFY2bcKgtq1YhGMp3eP882nwueMOAKQ+aWoi4luMUkkA5C+8QAtOOom+POUUkjd99KMkZTn6aLKq/N73COE7Jjb7hqsP+fFRFN0G4B4AnwMwC8BAAL+oSa/exnHJJfR5+eWKQSaK0NUyzElDzt/X0mUFADoiN8mKxJAr9ONA7RnymmnIAYkS7K2kTl5U2SwlzJYIcYNkpatLPg6TZEXLkIdKVoSOsG5aktuI66WPXdygvK50/AaG3DTBCtaQpyQrys004LlWgNwoWdEw5Imm4jibZEWhMTES7g6+b9oCORpAbkhlodizh651i9fwqFG0X63RVKhkxdHrzhmQA0rW2Ukq/8c/0ut8TxcSLmT49NMeGzkw5HFM2Ojooz3mCFyhaOxY8rTmTL/ubkKUGRxWgAySFQCYN48GqsWLlV9b/eptwTNGp+pPfpEuDqSqfFlTQF6e7b2IuXSZDx1Kb0HKgHzQIMq/fPjhZFNbt9KYM3kyqhfoCSdUVxg/HvjJT0i+8p3v0Fj3l38J/Md/5HAg6nAVg/0SwM8A/AWAC8t/58dx/ESN+vW2jeOPp1n/DRqX967Bw/PVkCuApktUam0gQLKSI0Ou1ZBrjikBEgy+y94acm7cpCFXAGHAzJAn2FSLhjw3lxWN7aFTUmdq/wkQG8fK7RPbCkmhysPNK6kzBaJdbA99NOQmhlx5XMoLOQMg51LxOTLkifZ7emgfWWwPgQQgd5KshDDkvK8UYjWYPVXXb2mx0q/sTqKVrWgY8o4O6oOWIXd4KwA42h4aSopaAXlHB7BgAWVOesa4cYTjHay2q+FANS9cSNj1s5/1qMwpvgqYPr0qbt+yhdjRjAw5m/EE+W0z0Fy9Wvl1ZskKT0ZqxJC7APKNG53SAswxbRppYERA/uKLAIA1rcdUHy0XX0xaqZdfBkAOhS+9lBzaEnWSXnmFJmSq8zNyJPCFLxBo/+lPM8yK7OEKyLfGcXxnHMdr4jhey38169XbPCZM0D/neppbMRjt+WrIMzDk+xCQ1GlgyFlGq/QhV1BA/Yoh14DpyiDhktSpkZtEEdwZ8pQw2xuQ2xhyYVulZEU4D4ldSTXsFedQOBgtcLW1odCQBzHkKerdR0OemFAWi/QQEd4aSJvlLVnhA/EF5BptN29jXmjsorwfwB2QO4BTLUNeKBBqTSFWQ245BQNySzDW1cpWmproeFMMOePNXmHIDYDcKll55RX6IQN9l6+8krDMSy85bsDI1gDIb7+dTuv73ufREVEsP306IcSODvoEMgPyhgbCakEM+bRp9Knx52tro8tYO3m0RQ0B+dixsmQlDcgnT6YxLF1AyDsGDKDGUoB8S+sMFIcLQPnSS2msuPZaoFTCMcfQkLhkSXWVhNZ95cqayVB8whWQfyWKopuiKPpgFEWX8F9Ne1YPZcTNgzEY7X3uslJhyGN9WWpuXlzftk+tA0RrK41KqSI+uWjIawjIGxvLYJr9zgMkKxUQGMCQl0q0a2+GvKen4rVn0pArJSvl/TMhbgPkcZyy9Stvr9RaKzTk3i4rBh9yE0MerCEHEhe1NqnTlyE32R5qzcOl7iTDlSF3GGCcJCsCgs4qWdEy5AA9nEMkKw6A3MqQAwQCfQG5J0MeCsitDDkLwI891tgPXXzsY/SzfeMbjhs4MOR33QWcdZYnWSnOPBgAv/56LkWBODxrGlWjuZkkEgZAPniwx9uAdNQYkO/dS7fX3r30hiANyIOLRKki7bSyaBFWth6bfNM0ahRw3XVUMeriizFvEh2/OClkCc3kySBAfuihOXQuW7gC8isAzAVwHoCLyn8X1qpT9dBHqWUwWtGWH0OeUbKyr6vBYG/gz5ADGvautZVQm0u57bwBeXc3gUkXDbmAchKTBUNCpi2pswICDS4rib6kJCPSJlKWp4IhF/ZnkqyYGHLpkDX6b+ftNW0ESVZckzozuKwk5o4CbZ53UmccKwoDWQB5Zobc0j73PTfJShaGnLfTSFZqzpADSpcTljZoJSuODHlTE53rmgJyEcR6xvDhwF//NbHajAutGwBaDfn27YTHTj/dsyMMyIcMqZqWr1mTG0MOUNeDS8TPmGEE5JktD4GaSVYAYsl1lS+nTqXP11/PYYcMyOOYLt5Vq/Ba01y5ftfVVwP/9m/AAw9gxhf/AoMGxqxuAUAMeUsLMLy4m87PAQTIj4nj+Pg4ji+P4/iK8t+VNe1ZPdQxuNWJIXd2WcngQ86b6/Tdle/hzpDzutKDlR/E/GAuh1ZDnsH2UMJrmie3C0OecFjhdRR98mLINW2obA95E5vLisSQA2rNs0tSZ3n/EnZ2BeS67Q1tODPkzPy7+JArNOSuSZ28q0oIAFq5mS9DPmBA4veJ45wAueILZVO9LVnJypDXULLCDLnVi7xGDDlA3TQCcgONv2sXba9woaVYsgQ46qgM9CxVh+/pqZq1GGPQILp4NFTzCy/Q57x5np1QMeSrV9PfwIG5gNURIwIZcoD6pEGsmQH51q00CFqqzoaEWBxIB8hzZ8h37aIbrqwRfwkKQB5FwGc+A3z/+4gWPo4PTnsqwZCvW0fseLRqJS04gAD5U1EUzappT+rhFoMHe2nIjeR3qUQrZtGQ74ORmlLaHloYcmVzPBqlAHmvSFaUND+Nb4kqihrJSuU/vE4qJIZcl0gYIFlRbmLzIbcx5MK2XCNENTGRmGAfhtwmWfHUkFfAhgao5smQKxOTBV2+cl6lYciV/eL2yjtQ3uuhkpUcNeQ1kayEJHXydjWSrDCgtlbrrBFDDjgA8pYWOrmKWcPu3Rbpx7p1VYozMObOJRzMRe+MEUUEHGsByBsa6NkwbhxdMGvWkP3hzJleBY90kYkhnziRaOaEfo8iF4acq/jkHC4M+eDB9JImN4YcIJlJmfJ+pnOu/j669FKgUMCfD/oDXnqp+uZy3bpyP1lMHvgGKM9wvQJPAfBiFEXLoih6OYqiV6IoermWHauHJlpzlKw4eyPKkQDkBoZcaXsYwpDzaJR6qCof4gZvdaXLis2H3ADIAQEMKmwPXQF5IqkzAtPO9gAAIABJREFUQEOuY8gl2bYk7FYci4kh18hdTAy3JFlxcWnxSOr0kqxI5vDJPpreeCilL4kDTP5XclqxSVYMDLmU+KoA5LViyLNIVkoljbNCSrLCpjBGyUoU+U/kOWooWWHi0Zcht1bI9LDWULwASEYUESLSSFa0CZ2lEtm+TZ5s7YMpCgVyW3n1VccNDGLs114j7GosqKQKPtAoor/p0wnULVtG3uQ5RLCGHCANeVeX8jfKBZDXQK4CVKX3GzbQ/KZQkAE5QCx5bgw5QLKVF14ARo7E0t0T9OT/8OHAiSdi/vY/Yvv26qRh7dryZb1hAy045JAcOpctXAH5eQAOA3Auqvrxi2rVqXroo9BaTurcHxvXcwLk1ieSPnwZclcfcl7XR7LikoDJoQTkqZ0FA3KF7aELIK9lUqe0iSKxUuxWxYdc6LNJsiL1XzgGrWQllZApfiUejFZDXrGdqbbh7EOuAZJKEJ2aafgkdUptKTTkmZM6awHIBw7MLakzdRnJ+wEq95a2GigHl9Q0MHx9JVkBHKt1KiQrUWQAw3lKVgAtIN+1y8CQb9lCP6AKYXnG7Nlk2BKbH10Uw4drNeTB+Xe7diVP9lFHAc8/TygyJ0DOkhWnY0wHI1tOMhWiPwPyUaPo+lm5kpwGp0xRDztTp+oZ8lWrqm8+rDFtGg2MixcDDz6I0qmnoa090jPkAHDaaRi9/gU0ohOLFtFv9OabZWOVDRuowyzr6sNwAuSi1WHd9rBvIxrSigb0oLtd9+Sh8ALkGRjyjg44MeSulTq5bVfJihKQG8SoCbybmFUk23TRkEvsZV6SlcCkTsn2MI6ddNzif3015FL/eUWV5MRHQ65jyBX6dy1DrtKQa1htU3KpuGsfDbmOIVceV4akzhBAbnRZUUhWCoVUfx0lK8q+A1pAriXc2WbCEFaGvEaSFcCxWqdCsjJsmEEp0d5ufSvAkQWQGyUrCbPmbDF7NmFsBd6Uw0A1X/TSN/AP27/oj3rTgHzuXAJjPT3ArHwUucOH062hvQ4NURpXY0Beg6JAAF2inGe5YoXePZAZ8vTP9sQTdPrnzQN+8xuHHTY2UkXNf/kXYP167D3tfAAWefycOSj0dGMmVuDFF6v2h7Nmga6BiRNzkSxljb7vQT28ojiUHkpxm+n9pCcgDzA3raWGXInvewmQK3P+fBhyGyDXgOkEQ57SkFfwrytDzhv09IQBcg1DXixCK3cxMeRBLismDbli/86SFR+G3KTnF1dOtWXTkOfGkJdv8t5gyKVm8gLk5XvP2lx7uxWRWDXkNZKsAESuWSUru3cn9ME7dlhkFx5ed1kZci1LnyMgP+II+hQd67Sh0ZDveX4prmm/Fue98l3gscf8OpB+FfDud1f/fdZZfm1pwsGxURnbtgGnf/DAZMiBJCBnRUk6pk6le070Io9j4G//luYKM2YAX/mKUkIvx4c+VFnxrZPI8M8IyGfPBgCcM34xFi2qAvIjjwQB8n4gVwHqgPyAC1dA7uSywqi3hi4rHR0EYhKAsKurdhpy9oAzSFZYRq0C5Eqw5KMhT9keVvpmcEhJMMwKDbmLdWIClAodk2TbWRlyhYZcx5C7TAaUtokphlwCroq+O7usaEB0nkmdrgy5S1Jnr0tWFAy5UtvtoCHXVt0FJA25FZDXgCE3AvI49mbIrUmd3GY5tm83JHQCTpMQDsV8Qw7NrMHIkHPFl/HjnfphCla9OJVQ1zDkO299oPqfe+7x60B65nHcccA//RPwn/9ZtQrJGDzB8gXkt94KPLOBznFpQ86AfO9eujhqCMgPPZTMatra9ID8yCPpUyzO8+ijJFX52tcIjC9dSoy5Nf7P/wG++lXgrrvwViOdN+O9dMQRQLGI04a/gueeI7XLwIFl95c6IK9HaDQMp7syam8zrueUr5mBIU88bC22h1JCp2WfrhpydjiRNMaSB1w1EsCzWJQ81DMB8gySFS8NucKfTJKsANkZ8jKSSsjOPTTkWV1WMktWAhhyVT84lBryQkF61emqIZfaCrQ9zF2ysn9/4r2y8oVTb0tWPBhypZKhpYXuc+FCNfIR3JAjIB82TCt5pmAgKOjInRlyh3BmyLdvl06QMalz61Zi6L0zKOVgQM45dMZgDXmKLi298CK2YAzaZ833EB2XIw3Io4hQ4FVX+bVjCAaFvk4rTz4JdGIAtmM4ti/ZnPius5P+ggH51q30WUNAPn9+9d8nn6xep0xSY/Hi6jKuRH/ZZVTtvrERuOMOhx02NFDhnwsvrNx3RoZ8wABg6lQc07ISGzcC//7v1OdiIa5KVvpB1AH5ARYNw2iAjvaYGfK9e6t4UxsZkjoLBWp7/35YJSuSftyyT1cNuRLjWoCCBBJSOzMCcoUPOWAG5BIzmzWpM5XQKB6XiiGXcjg1oF7JkHskdXq5rDhqyLWSFYX+W2K2hUZdALkrQy6x9a6stk2ykoEhV74NyyJZKZUSP0hNAbmPZMWBIU91vRq8rUAc7NtHP7FyjGR06wjIhw6loUn7ul0ByLdvt+BcD4bc6rICECDv7k70oVSifmsZ8q1baTutSbl7NDfT8Toz5KWSdFCF9a9jNaYTuhORnUsYZx75RChDvmIFbbsFY9HxerK+vIfZjjoYkNdIQw4A73oXsc1z59KLB1WMG0fH+Mor9P9du4Df/pbUJ83NdA2eeSZw991++2ZAbmTIAWD6dEzqWQOALq0LLgC91tq/v86Q1yMsolZ3QN7cbJEfWrOazFF5qFskK5LDimWfSkDe2Eg7tAFyDZstNiNum96ZEsdokl+VkhUdgMuQ1JmQmyj049wXiSF3lI1Ix5JiyCVAntpWkqzYXFYUgFxi2D0YcmlCYJKsWKwKTQy5tGuNVaHSXcQlqVPRlnKikGovd8mK2Cg0gDyrZCXFkOchWdGYJlHwtgLA27fPktAJeDHkcSyluFSDEa+Q2GmVrOTNkDNDygANdDri2ALIcwRykyY5AnKmO1PItnnzGqzBNAyadxSJkY06ISG4qmONAXkoQ75mDXDuucBmjEO8KcmQZwbkNazSydHSQnaUTzyhn7tFEXD00dUXG7/5Dd3+VwolJs89l2QrXDzVJfgSsdY8mjYNjetW49vfBs45B/jkJ9GvLA+BOiA/8KJ8Vxb2mCUrlrxJigwMOSBgAgtDrpSs+DLkgKQDDakgmIkhr5HtoeRDrgOBCv20eFwmDXllM43toTNDrtCQS5KVnF1WJElSgGSl0mWLD7nEkAuVn1wBeUqCX12YwfZQYn1zKAzU1aWQd7hW0MzKkBcK1ImcJSuprleDgbUwfuzda0noFLezhIIAN65QKjlIVjwZ8o4Ojec7BwMyoX49zw+0OPWtt3IF5Icc4iFZAZKAvLsbQ3atx9bmqSgefRQtczU237OHTk4vAXIfhnzvXpLqz54N7GwaiwE7DzyGHCC8YYMSZ55JgPytt4Cf/YxcTo4/vvr92WfT50MPue/XSbICkO/8W2/hi1e14f77y79VHZDXI1OUGZPiPjeG3LoSUHOGXHJYseyTMbIEFlpb+1ayUiMNeQKDp9pIENIWhtwJkGsY8gTwszHktqTOnFxWlF0NSOp08SFXMtGpi0XatQWQ9/ekTnE16QuBIVceZlZADiRsUfJK6gQsDLlAIxvdV/MG5CmGnOUteWnINTnvyeDERQGQc3+NDHmO/swTJzraHvKJEanmjRtRjLuxe+S0qmXL8uVuO7YeaD4xZAjNNX0AOXtzT58O7Gkdh9Y9GoZ8cAx873v+mo5eYMhd47zz6Ll+7bXEpl9xRfIt/pw5dLk9+KB7mzt20LhsvVWnT6fPNWuqyxiQ5+Czn0fUAfmBFnkC8owMeQWQDxpET12FeDOEIW9upoeV9CB3AeQZJSvKNl0lK3kldXJiKhQack1SQF6Sla4ueANyZ4ZcIQrPQ0OuZcg9NORKJtrUDh+PDyBPacgzJXXmYHsoblsJV4Y8q2QFSNx7RkAex9kZ8hpLVnwZcgZsebmsWPcPVAGZ4DvHDHlvSVZGjyaVidXajicBoitMGbnuHz+VAFRTk6OHIqonpsYMeaFATK2PZIUB+bRpQOfwsRjU054guPiRN3H1AuDznwcuukjytDfG1q10YzlO7moZ8+bRXOpHP6I6SOl82kKB9OgPPeRuM79zJ51zqzvotGn0KQLy9evpeZaTy07WqAPyAy3KA3RjRw6SlQy2h0CKIQeU1FQoQ65sLiVZyYUhb25215Cn+qzUkAvoQ2m355LUKTQqAfJAyUqQ7aHQh8o6rhpuTw25U1Ior6hJKq0M4Ox6YnJZUSSGCpsk1+nqUjv6BDLkuSZ1xnGwy4q4WiVcNeQ5M+TG7vLrsiwMeT+TrDBgszLkeQJyBrkKhlyJU0slQs85A/KeHgcGmfcp6N0ZSJWmTKMxYPp0Kg/pElZtTn5hqGmkDH5jMHEiUBozjv4jTJoYkI99TmDGFyxw3wF7kDv42dc6iv+fvTePkSS77zu/EXlXVVfX3cf0Pd1zcS4OZ0YcXuJlgyKWoghpQUmmTZMSBFm2BQM05ZW1ko3VQpDXsgFJMAwLwmp104ZtyRJIr0RRpDW81jM8ZsiZHnZPn3P0Ud11V+WdsX/84kW8ePFexHsRkZlVPe8LNLKrKvPFy8jMyE984/v7vRLwJ38C/OzPAn/+5/KP1/vfT/vkpZf0xlxd1YirAKFDfvFi+LtXX6UzgwKKlouQBfK9pnodfbgotwp0yDNGViIZcn48YRNZMuTS4QSHPEuGPAaAOg759jZ9YBUxhyIcchlMsxvdyEqwaa65t7LLShKQSzLYgN8iyvOM+5An9VFXRlZkQM/mpIDp4KTGcSJnKEU45NLofUpRpypDLj3RyNL20B9sLA75KCMrmkvIaznkQ46sKFsfTk7S+9IHQwbkSod8MKA5aLqabPuJxmm1ShuUZMilDjlrOzg/rzUHHbFzAp6zpZqfp/3FzdW7dBkDOCid8OMFbDUaHY3IIQfoJMsEyBl7Ly4C5bvIqR28HsZW2Dnk5NWztLoOADz3nP4GCr7KkVf33Qf8+q+ru7G87310q5sjT63FYJqdpddfBPJdkh8HLJDvPTkOdtwpVNsFFXU6TuJl5yTFHHJJjjz2pWfgkEtX6xxHZGV7W9qyxgjIFSAMSCIr3ESKcsjTgDyyQI9kDqUS4Az60Ttzmyu8qFP2eHZHnQ4pnG0vvVIhvOdZN0mVQ27SGUXXIQ/G8jyzFor8/Dud4QA595lQRlYcJ9FZknabEbelE1lhRJLiFmtlyMcVWXFdol4hsqIECbZ9TYecAXWiQw7QpXndos4hQKzM+JaqXKadw92xe+4SXsNdmDvkv0nOnCGHXGdpxxEC+eysWWTl5k2aVr0O1I8TkG++HHfIa9euUMj61Cng298228AuyI/r6uRJeoosRz4YAP/m3wB/9Efy+6+uarQ8BOh4deqUBXKrYrVT2odKu6CiztTeiGpFMuSAXmQlj0M+NTWeos6dHekXszSywrWuyFzUyd1ft8uKNEOetDCQAFJsfRsZkAeb7cuBvIi2h0YOeVL+nf9lUmRF0WJQVRwqPTkwBXJVH3LFSYJyLP6+nU6mPuTKyAp7n3NOcrutKOqs1RKPHdJuM7waDb3ISpEO+ZAiK+ySeSIQc6sHpUZWNJ8zk1ZkBSAw4+IQibWOQwRyyYKh8jtzQN6/cBmXcSKsMT19mo7dOlWiIyrqBLI55IyXp05TZGXzfOiQs7dC6bUr1Oz7kUfMHPKbN3eVQ66j978f+OIX6dj9K78C/NN/CvydvwN84xvx+2oDOUBAfuEC/d/zFwXaJQWdgAXyPalWeQq1TkEOecb8OMCZfkNyyKWRlaIz5Dp9yJlDLkjqkHteAK66GfLd4JCzX6kc8kpF/ViVQ565y0pahlwRWZF1amG/T8uQCw+JDqxqwZizy0qaay9MIaphOeQSIO90FJGVhLgKUGBkRdMh1wJy7oS+yMhKvU67OhGIuXBxalGn5nNm0oqsAER+gkPuOAruH6dDDsTm6l6lHuQBW7I12nVy5LvYIb9xI6wp3H+GyLz9StQhnyutw9nYICC/5x7K0+tcGej36YRlF7nAOvrgB+m9+Xf/Li3I+aEP0Wfs934vfl8jIL/7btp3rJBhZ2dX7RsL5HtQ7dIkqr3kVSCMHPKMijnkEiDP4pAr+Z5FVnwHWsocw4is6DrkEmdZ1yGP9CHnBjXpsqIF5Io+5JExVIWlhg555siKYdtDZWRF1oc8o0NuEllJy5DH3goJJwksFRJ5bsJG2m26T2xurquMlCiBXJK1VkZWUqJuWpEVEyDPU9RZr9MO4og1NbLiOEaGxf79GkDuk9rKCj1X5fCGDrl2ZEUC5Pv2hXXQEY0byHmHvNNB9earUYecAblOjjzxzKNYzc7ShRDdLiE8kC8cquAW5jF4PQrk909coR+OHSMo73aBa9fig926BXz5y9HBe71d5QLr6EMfAt76VuAzn6H+7H/8x8C73kWuOS/PywDknQ6tPLTLepADFsj3pFqVKdS6BQB5Todcp8uK0iFP2C77comterdvHx1c/G/vkUVWtreLA3IJxMRW6uTub1LUGaxho9NlRQJqgUMsKepMAvJYlxV/Mr3OIPgxsm0dh9yg7aEysmKQIQf0HPJckZV+n/aL6LYnzIndT+mQt9uZgNk0spLHIddpezj0yIrjEFhyQJ4aWTGM86UCOZdlWFvTaHkIGC0MVCppAvnKSvCGWl9PSHEMAchrNXpK2g45i9e88gocz8MlnAyB/MgR/daH7IlKzzyK1dwcfdSVq7YK4iPei4vADRyAczMaWbmn5gP58eNhYSfrl8jrIx8B3vlOWnUHCJdF3WNA7rrAZz9LQP43f0Pv7yeeoNVAeRNhc5P2tRGQAxRbYe0Pjx8vdO55ZIF8D6pdmUK9p86Qe56BQ14kkAuWtucpHPJqNbEYjH0HxS6/CjnQQoGcy33HxlTsTGmGHIg4oTouKNsVg0F8ghF3NyWyEswlqTtIhshKLEOeFlnxHz/o9KJPOaNDHutGouOQc3StszAQe8hQM+T+L7td4ryADRLeG9J58eP5DrkpkJtEVrI65KOOrCQ65ECkqJLdLxHINeMqTFoOuQ/k6+spnGvokDsOPb3UyAqzYv0Q98bGaIEciEXD1TpyhE4ednYCeLqME2FkpVQiwNKNrIwgrgKEcKgTW+l2qbMke1nm5oDrOIjKStQhv7vMATkDyCtXooNduxa647/1W3S7R4EcoH3x0Y+G9RkPP0zH8rNnw/to9fPnxbc+/N736P/33lvIfIuQBfI9qG51ErW+2iHvdAjutBzyHJGVtLaHvR7NI+aQp2xTWNQuFPtC9r+ssnRZkbY95FYhUmbIMzjkuhnyyDg5HPLgYTkiK92ufA6RDLlO20MAvVYvuilDh1x67qCbIU8r6lS8DjGXHSjOIfcfE2uoksUh55baHBuQpzjkWSIrQ3PIgYhD7nkakZUMQK5sewhEIiupfGjokLPtaznkQOA8b2wkzGPcQH7sGN2+8krgBr9ePRl9zXRbH44ByHUKO9l+YEDuusBa7QAmNqIO+XHnKn3elpbUQM76BP7wDwNf+xrFMvYwkIt6+GG6/c53wt+ldisSdfQoHcRffpmA/MCBkb0vdGSBfA+qU53CxEDtkGvUTZKKjqwIDrm0+4PGNhMjK9wfsvQhlzrkbF7I5pAHY2XMkDO+7fcRs3sj7m5ClxWVQ67bZYXdJ/GkICGyInPIvU5Xvm3uOUTaLfKPV7nSul1W/DFYjW0MyCX7MRZZkbQ91CnqlIIol9+InVeNwSFXRlbKZfqjD4Sel9BlRdMhV0ZWuLaHnQ69F6QXzjSB3MQhZ8emIh3ymRkNh7zdBprNwh1yIHYBQC4G5H6OPDWyUqulnniZyhjIr14FLl1C3ymhvXgkmiK65x4CcuVZn6/EJ1qsGBzqADlL5PBdCbcnD2BqO+qQHxlcIZh0XXpfLizEgfzpp+lN+C/+Bf38uc/RiczkpIGFvHt1+jQdcr773fB3xg55uQzcfz/wrW8RkO8idxywQL4n1atNojFQO+TaQF50UafwTSg1qzW2KayhEUrolFBYZIWbe64MOUdiDAR1izoBH2pV+e3YDwlzydtlRagkNC7q9MeORVYkhF2EQ57Uhzx2QaDbpddJkg1WOuSGRZ1SEBUiKzGw5+8jGW9kkRWA3uu+Q86edxaHPDWywrU9TIykb25qgWG5TLyi45Cnrok2jMgKR2rDcsi1uqwAAZAnRlYS7fPsyuSQnzuHG40TmFsSjltPPEFvnrQ2gLs0ssLqa/mV25szB9Hobwfvgc1N4HDnSjTrfPx4PEN+9ixVQD74IMH7f//vFLp+4IFdsUpnXpXL1KOcdS0EMgA5ADz1FF1B+O53aZWiXSQL5HtQvVqyQ86uNu8WhzyWIU/ZpuPQ95AyspKUIWcbTYAb/rFFOOSxyIofS4iMI7V7SWmL8uh0WYk8jBswU5cV9kPODHm/le6QKzPksqLQyGSi2w+eO/9LGdQngKqOQ64D5Gz3qyIrsZcx4WSN/XpcQK48vzVwyHUjK0reTqTGUKwpihLIOQs5tdlTBiCfmookfeLisgzDcMi1IiuM/DiHPDGyMgSIXVig3HRqF5K77qIX9epV4MUX8XL1TWFBJ9NTT9Ht176WPNaQTi5kMomsMIecB/Le/IHIHzc3gaWWBMhFh/yllwgwHQf4wAeAz38e+J//kxYTukN0+nS0ZCAzkG9s0Pv77W8vdH55ZYF8D6rXmEIVXeW1YO3oX86izrQMOfsyN3XIAUWBkk6GPGXBEl0gz5shl4JgpSKdlzSyUrBDrtNlJQLkHAWmZcilXVYQOuQxIOdesMjVAeGXXrcXLFgUSDdDrmqdyF4HiYoq6nSchLH8kzVpZCVjl5VWKzuQSw8hOkBu0PYwMbLS6wG9XrLhrgnkbMjEyIp/UElt9pQRyLeS1mvjrNO1NQ0gZ60aNaUVWZmepheGy5AnRlaGBOStlrRLblSVCkH5Sy8B587hRTwQB/KjR0M3OEkjdMjZhRAdh1wWWcGBg5E/tjfamGlejwL5iRME5OysZmWFLjuwCMYP/AC9GTc2gO///szPZbfp7rvJIWdPOxOQf+ADdOs41PB8F8kC+R7UoB4vvOLFCotYdbJSOYs6mUPuOS79UFCGHAhbjkckRFaUGfKES9tpQB6L8/b7NKZkP8WiEtzgUoc8oYd4ME6RRZ2ylTp1HXIByI0iK0KGPFOXFQD9di8+TZM+5LITkgSQ1Cnq1MmQs/sVVdQZO+ERxsuTIc/skGtEVqRXCnixz16rlWy4GwL5uCIrU1P0XJUnID419JZXsbOjEVkxiKsAmpEVxwl6kff79DTH4ZADmqt1PvQQ8Cd/AvR6+FbrfvmCk5/8JAH5V7+qHmeEQD4xQZ9vHYf85k16z/IvdekwOeT9167D84CZTb8wkwfykyfpTcyInnUMYRGMD36QVvQ8cgT4oR/K+Yx2j06fpo8Gi/qsrtJxxqi9/MGDtOTnSy8hfoY3Xlkg34PqN+LLQPNiLkkqkBfQ9hDwv3CFft5A9gw5kMMhj/VZjMo4ssJOMkwy5KrIigLIi3DIi2h7GIlsJAF5WmQlzSHXyZCDgD62yxIccq3ICsuQS6SMrBhmyIHIwpzhL/ztx55CAUWdsbf8LoisSK8U8OLaohQRWQGkh6FQ09O0X1qtoUVWgASX3LdOW9eI1FIdcsNFbFhkJTUK4gM5O76OwyEHNIH88ceDz8eXW2+R89M//IfAoUMUP/jYx+IrWLZaNMaIijodJ9JyPlE3btDLwV84rR0nh3z74g1sbPgFnUCYqQcIyIGwl/ZLL9EtA/JaDXj2Wcp3jOh5j0J8G3GALgzMzWWIyD/2GBUE7zJZIN+D8iboi6K3nsMhT+37la7IJemJCb0MueZJQOYMeYpDHgNAXSA3yZBndMgjRZ1iQSUbw8Qhz9plhU3c/yHYrG7bQ84hj/TbZnfiMihJDvmgk8Mh9+cfO4fI6ZAH43heKtwnOeSxXDx/n7SxgMLaHkrdXC4MrUzTaDjk7HGJkRUAaLUKjawkOuT+eMOKrAAJQO475K3rGkCe0SHvdhNOSJgOHBgrkM/P060WkH/kIwCA/qEjeBEPyB3yxUXqhfeP/zHwh38I/PmfR/8+pPaNSeI6XCbq+nUybHlNnVzEAA5al69jZQU4hqv0B9EhB6JAXq2GiwYBdJApuEPOuHX6NN2yHDkD8jtFFsj3ovwjf3dVfuRnQJ54/Ol2JU3CzRRx2STWlDRDrnkSMD0tiaxUq3SQ0cmQK2TskLNYUN4MeQK8qYo6BwPivjwOuWlkJdgv3A+Bo2vokHvdXvS1YfPn7Iw0hzw2TcM+5KYZcpVDHsuQm0K0kCEv2iEfeWRFwyFXzp2J++wVFVlJdcgBYH19aJEVIAHI9+8HHAfdGyvBj0plcMi1s8uCQ76rIytvfjPw9NM49/98FYCjThjMzwP/9t/S4P/lv0T/lvpEixe3BlSiZEC+cLCM25hH97UbWFkBjuMKPMeJLvHOwJsH8tOnjWoO9qJOnCA/hznk167F999elgXyvSj/i6K7JnfI19fpTZt4PNfujahWBMhNHHJNII8VKLH2K0kZ8pyRlU5HYEYTh1xobcdvLwkEVZEVaUGmTg5dxyHPkiHXLeoMHG4BqCUnFNI+5FzkRcchV0ZWVEWdRWTITQsxhS4rhRV1ZgRy16U55MqQ5wXyIURWEh1ybsWxxMhKp0NvyKKB3HWB/fvRvzUch5w5z7dvp9zRX5J+fY2yLdJdy9Z+HyKQp86T6R3vwOulo5HHSlUu07LxX/969PdjcMh1IyvXr1PahtfSEq3W6V2/gdVVAvLOwuHo521igq50MCD/3vd2XQu/YahapeQOc8ivXYvvv70sC+R7UM6+dId8/36hO4VpiRExAAAgAElEQVSo1BBlumIOeYFFnUqHgWtlUIhDzkDbB5CYe5nFITfMkEciK0kuu4ZDroqsxGIjhl1WjIo6A5BVOOSchJbnsScTebzn6fchV3VZMYmZpHXN4e8jKClDrizqHKFDDnBtS0UVVNTJpqkTWRlJhpwB2fp6cmQl4TOfpFQgB4C5OXgrdGBLjBRmcMiNgLzdxs4NMjaku5ZdnhwCxM7M0PFI5pD/0i8Bb3lLWLTHxPqWR7qRyPTkk7RQEH+ZYJdGVrpd2geiw7u4CNzAAZSXrwcOef+u4/EBTp4kIG+16Dnff39xT2AXi299aIHcauxiQN7fUGfIU4897FvD8KDPK5Yh1y3q1ADyhQX6Xox9uXL51m6XYC5S0KGZIQ8AR1gqXAnkEoc85u5mzJCrIivSgswMbQ8j+yhDl5VYhjwtssJlyNMc8th2ufG9ruCQJ0Rm2Dwjv8zbhzzpSkNOh1waWcnY9jArkCtheXIyOD7kjayYZMilw7Xb9E/TLTZ1yKUX64YJ5LOzcNY0izqH5ZD7Ta/br9xUz2OIEFsqkYMsAvnGBvDLvwx885vAf/gP0b8xQNcCcoAKGpnGBORpDvnyMnkMIpDPz5NDXl27EWbIjx+LD8BWyXnxRYqfPvJIcU9gF4u1PtzcpI+qBXKrscrdR18U/XV1l5XUDisFALlxZKXb1b4UrLysKTjkMcZNiaw4jhBNYM9fBeQJXVZYj2ztDLlhUaeJQ64q6owsG8/GiAwaHUNW1BnLkGs65DGgVhSlqiMvksdzfxc2p+eQm0RWJCdYmYE8qQ95lqLOYTvk7TbQ7w/XIRcy5NLhmFNbcFFn4gXCIQN5aV0jQ55hIRsjhxxA/xpRrnTXDhliFxbiQM6v7fP5z0f/trxMx9rUAr43vYluWdcRIHwuI+w2MjdHm40YFYKuX6dbEchLJWCjfgBTW9exutzDMVxF5cyJ+AAPPUS9yL/0Jfr54YeLmPqu1+nT9B4/e5Z+tkBuNVaV9qc75CMHcp2iztRKqlCsmj52WZMDcilzpDjkgAA49TpROtdVIrYoUMKcIzCZ1vbQsKhTCvU6RZ3CSp1SIE+LrAhFnZHIiqZDHoucGDrk0sdLtq/ThzxTUeeQHHLTos7Y/uHv2+lkWhgISAFyANjeloOr52k75MptAHqRldRWIFHpFnWOLbIyO4vKVopDPhjQiYghQJoCOethPWqHHJADOWul/dGPUptovnvhzZv0mMQYJkDPbd++6HKOYyrqBMIGCzKpgBwAtvcdRLXXRP38d1BFF5UHJC362NWA3/5t+iyxFiR3uFjrwy9/mW4tkFuNVeX99EXhbcqP/Csru8shD75oDQpJmUPOsoOB0hxyDSCPAI7jRC7RmzjksbFyRlbyZMiTIis6sQ821yxFncoMea8XPxmQ7AOVQx57fIpDnhRZCaaccGKU5JCbFnVWqwogl/Uhz+KQuy5QqcBrZ3fIEyMrgBrI+32C8gKBXDldQyBPdMjZQXFtDc0mffSlh4qMQM7unpYhr+2sotFQHg5o+55nDOS1Gs1BF8id5ZtwXcXheMhAPj8fn+e5c/SU3/MeOuy++mr4t5s3NeIqAL2o4vrqY3LIgeTYCgNyGVB2ZilWdPB7/4N+wVbg5PX443R79iwtBy8xWe5EsfOOL3yBbvnmM3tdFsj3oCpTNfRQwkAB5LJWSjEVnSHXWRgoA5DHHHKu4CxLZAWQAE7SmCYOeVrEoYiizgR3l82fHzCzQy7LkKc45MGCJCxDLkZWTDPknW50miYOeYY+5MqYSUaHXFrUKYusZGl76I85aHfgeeYLAwE5HHI2X43ISiKQ60RWinTIy2Ua5/btoLZcuqDIMIF8dhaN1ir2Tyes3mP4nHnJQDcm//JjeeUmpqcV+2AMDvm5c7RWC6tNZJEEgIwZaQ9ymc6coSJHppUV2pcKM2MYYg55UmEnA3I/0h9R5wB1lTlz8f+lX8iAfP9+AnEA+NEfzTjTvadTp+j2c5+jl5T9fCfIAvkeVL3hYAtTwFY8stLp0AE59TLOiBxytlofgGKAvACHPAY4QqGobpcVQBFZkTmqGYo6MzvkaZEV15V+Cyd1WalUoIR5Nn5wiTkpcmKQIUevJ3eSdfuQG2bIlZEVVXwIKLYPueJ9mwTk/WZH/tBhAjl70CgiK0VmyAGyLldWkruvZgTycpm2nwbk5UEXh6blcUMAuRxdLSCvVoHZWdTWb6p5O8dJgY4YkPOrijIgZ937+Bi4tkMOkIV66VL4Yb59e+SrxzAgT3PIZ2bk/lH3vocAAI/f+gusVxfCPJKoz3wG+K//FfjJn8w5472jyUnggQfo//fdl3ClaQ/KAvkeVK0GbGMS2I4f+ZMug0U0ggw5M6t1enqLmp2lx6UBee4MORBxyGMcs7VFAKvoDCN1yItoeyjC5GBA/3SKOrlegqzLSqBYlWd0jGC/CEWdSQ65stuMLLIi2ba6baJehty4y0rC6xAZg3tiuYs6hZM1qUOeUB+gdMhVQJ4QzeGnJI2ssO4em5vDdciHEFlpNOipK4vpfCBP7L6aEciByOFJLp/U7ppIILVhO+QAsLSE+ubN5FU6gaE65J1OuK+aTeDqVQLyxUXaTTyQLy8bAPnJk/QGeO01+nllRQ20Q5JOZOX119VXspceWMAlnAAAXDn0VvUgx47Raqap4fo7Sz/4g3T7gQ+Mdx5F6431Kt4hqtWALUzB2Y67LJcv0+0xSZekiIbhkPd6EXKIsbEBkJfLdFBWZsg9T85WWSMrKted9QOWXtc1zJDrFHWyH0SYTMh+89uJFGWquqwosoapRZ0pDnkAQRwhZ4qsGGbIjfqQmzjkXEse0wy5cVFntap8jyUDOdFu5HPmeVpAroRlSXvAyEeqKId8CJEVjvHlGjeQ+6R2uKEB5Blg2ATIp7ZvqHfrxga98VKOpVklXgG9cIHetvfeSx8DPnXS6VBxpHZkRVxW/vbtkQO5TmTl8uXoSve87r4b+L/xSQDApXd+vNC53Qn6hV+gWtZ/+S/HPZNiZYF8D6peJ4fc3Ykf+dmSsqwSWanNTYINjS9VlWIZciDiksfY2HB10IMHg0YAoSYn6cjdbI4mspKyYp52hly3qFMCgaUSEB8wPg8gDuTSyErCGFky5CqH3OmnLwzEhos4msN0yE2KOtlzyZAhj7nP3NWTWClASrwkEchbEoc8JZPOpIRloT1grSYYcCnPXWsb3KS9ZkJkhTm1mj25JYehqLjIyjgd8oO14Tjkc3OaQH7gAKZbKZEVZcA8v8Si/XPn6PYev5kID+QM2rUdcnFZ+ZWVkUdW2OZkix8xXbwYnjuIevObgf8T/zuO4QoqP/YjxU9wj2tqCviJn8j0Ed3VskC+B8UccrcZd8jPnaPv4eOShb0i2tpKdH515wFwDjkQyZHnBfIDB8IITiCub3iMcT2v+KLOlBXzIhDLVuDxoYttC4B+USc3wQgEKmCUf05s/vzEpF1WDIFcN0MuOuROL79DXlSGPJiySVEnG0cVfQGK6UOeB8jbCUCecmKqjKxw7QGbTUXBqMb47C5KIPfbnHjNlrppy9oa7SzNb17JYSgqziFPzZBrHqd46QL5UjnBOs0ZWVldTe5/TRNYwmwnJbIyxK4kLFJ57RrdMiA/cya8feUVOpyzRYG0HfJjx+gMcowOebVKJx3s+YlaX6fXSQXkd90F1OsOXsExvO1tw5un1e6SBfI9KOaQl1rxI//zz1OVemqhAwPyHIplyIHhO+Rcs9+Y2cmoxaTtIRCLrMQy5LoOOatgzdj2UIThiCEdI/z4PCJjJDnkOpEVWdtDxcJAsW0bZshVXVakQM9vML656C/7ffS6XuQ+Rn3I2S+LWBjIdQO4V0ZWFIrtH6ZaDV6SQ57yOUh1yH0gjznJRUVWAKBeR3+7pZ4uczc1jQNh4d24mEO+7SUDeb2eqY2cLpAvlIbjkC8uki+Rtmw7lpYwO7iN2X2yNxZCh3xIOnyYblnM+9w5gnR2qD19mp7HxYuUtQYM+k1XKtQL79IlqrtZXR25Qw7Qc2RzF8XOFVRA7jgUafnudzVaGFvdMbJAvgfFHPJSK/6t8/zzmgt2FQDkkciKxJpqtxVArrxWHFWiQ761FWcr5bKCUaUVdWZ2yLnBTTLku8UhjwCprKhTMYfYCQUH1KPossKaxsQiKwD67V50yikrdXqeJD6Tse1hzNX2LWlpUaeGQ+6JnfKqVXgyh1wTmBO7rLhuEFmJfVyLcsgBoNFAf7upHm51NQzkakgLyPt9OFubyUCe8Vo4l36TqruPwHAWGkCuGdPhxYoEY0aGKD//cagsFulwcxjiQjpLS3Tc4IGcxVWA0Ck/fz6si0q96svr5El64NoafXBG7JADyUB+8SLdqoAcoO8/tvCo1RtDFsj3oBiQV9pRK2ZlhRZTGBWQSx1yIbKStagToC+X7W3BcRIc8gibxRqfy1V0hjxWvMd1WTHJkMvc7WCMFCCPudSqLiu6GXL/iXmevkMei6z0JUWZRTjkkv2oalk46HBAzp5MAkTzmwl+6Z8csUQSAPMMORsrqahTIXbfWAyhWoXnbyTyls8bWXEcckdH5JB7Oy31cCsrxQM5gNrW7aEBeZJDvuHtQw8lzHgJQL6+TsdIxec0SayndRqQd+fpjgecm4qJDtchL5XI8U4D8pdfptXhq1WNtTV4nThBNjQL1O8yh/z55+ljxlo8WlkBFsj3pKpViqyIQP7ii3T74IMag2xt5a6IYF+gkQx5gZEV6ZcL940bA5s8DvnODjAY5MuQc4PH2FG3qFMyhgmQiw555i4rQmymUoF5UWfWDDkH9FKH3MBl77U4IE/pHS4tDuWKOmOudsJYaQ55FiBXjQcU7JAD5I6qgLyook4AqNcx2EmIrBjGDVKB3HdKazsryUWdQwLy9Q0Ha5jBdC8lQ54RhtkxM3ZlUdDOJDnki54CyIecIQcoJ/3aa/QSLy9HgXx2ll728+cJyFksXFsnTxINX7lCP8tW3xmyDh+m10GW5//Wt6ijzJ1WlGiVTxbI96AcB2iWplDtRI/8E//Xv8B38CDuX9Ios19byx1OY7FYVWRFCuTlsnYnf+nl16QMuQGQxzLkqs4tJhlyNrgsspK3qDOly4q07aFspU6NPuSep5iDaVHnQNJlRbIPVDBt4pDHrlQwh7zdDR+isSImIO/WIi3EBMyBXDVWRiB32pK2h5rAnAjL09PAxgZarfyRlcFAkYEHgEYD3k5CZCWjQ66EYh/uGzsrY3HI19eBVcxispsSWckYF9GNrKzXCMgXBuNxyIEQyFk3FR7IgbDTypUrhnEVgIDc84CvfpV+HsP66ocP03tf9lp8+9vUScXKipcF8j2qZnka5X4n/Ebd3sZjf/5/4EG8gGP/4/fTBzDMZqoUfKnrFnUadC6QOuRJGXLNyEoM3jhbLcZGKQ55DO4LLOrMFVlJKupMGWMwUMxB4ZBLtw3A7ed0yEWgTzgpkb4OECIrGhAdeR7cwNKYScpYMoD2inbIu0PosgIkO+SGkRX+ITHV6/BaCZGVYWTIAUy0hgfkOzvqLifr68AK5jDRTgHyjDC8fz/txzSHfKVMQD7bTQDyIWbIAYLsy5cJToFw9UWmM2coynLxorpft1IsnP3003R71105ZppN7CSCFXAyXb1K/554YuRTstrlskC+R7Vd8d1t1qf3mWeCv7lf/pv0AQoC8uBLXVHUGcuQGwA5c3siXy5JGfKskRVVK8XBgL6cTSIrSRnyIoo6E6A+UtiYscsKuwsPorE5CI+PnVC4LuC68Qy5YVGnW4RDzgN5lshKUmeUhLF8MzxaiFmpBEWYRQG5U0BkJVYsCuhFVjQdcn5KMXFr3cfOo/t9Or4ZRFa4j7Jc/lhTneEAOXuYqu0ic8jrO8OJrDiOojuVoNu9/WijiumW5I7tNv0bskN+333k3/zZn9HbTVw7481vppqomzeBRx4xHJyF0P/qr+h7bsjPRSbm+LMrAEyf/Szd3mmrTFrllwXyPaqdqg/kbG1e32Z4ae5twNmzyQ/udulLZ5c75IuL9AWTFFkpLEMOxIGcfatniKxE2LHfJ+oZYlFnbC4ZuqxEgJxFXvi2gSkOecQVrFRQ6mfsspLBIVeN4XW64Y85HPIYM2cZq1oN2hQWElmp1eD0EhxyDSBnda4x+ZGVoTvkjUYA5LGP7fo6TXAIDvkCloeWIQfUsRUG5JWt4TjkAF1ZTAPytXUHN7GEqW2JQ56j7aKJWAeRz34WePTReGfL970v/P/b3244+IED4fvmTW8a2gJHSTpxgj7nIpD/p/8EnDplCzqt4rJAvkfVrPlAvrZGty+/jHXsx9WT30+l6dKVRHwxiB+yQ54XyMtl+v68yX9nsMfLijqzdlnhgqeRMTc36TZH28PIKpsZizpLJWgBeeR5cUBu0mWF3SUoimxyQKvrkPsPcAb5HHKpw879HcJDZGNE2h6mZMiNHXLXVV5tkEJ0tYpBpxv5ezBWSh/y2Fj+eI4ssqJ5YhppWyqqwKJOfkox1etwWooMOWumbeCQNxrEXkogr1Yx2D+DRSwPLbICpAN5eXO4QJ4WWVlfB25iCY0NCbmPCMjf8pbw/7L4xiOPAP/oHwE//dMZ8taOE27grW/NPMc8KpcpOcMWPQKAb3wD+NKX6DmN4RzBapfLAvkeVasRBfL+xSu4hBPonLyXyEQMrvFiX3TDcMgLBHIg4IJQpRJty8+QZynqjAGgKkPOvlVNHHIuslKp+AfdFCA3iqzkdcgTIisRV5cBbYsD8gwOeZ4MecxhT3HIZZEVjwdgTVc71mUlw2I+KiBHO7tDHnOyq1W4OR1yIGFxoIL6kCu3ARCQtxUOObN5DTpkOA4dYpJ6gffnl7CEm2MD8hXMwVlb9Ys1FHfKAcM6kZW1NWAZi6huSNZ2Z0A+5Ax5vU7APTNDy6DL9Ju/Cfz7f58RXj/1KeAd7wB+8idzzTOP7r0XeOGF8Od//s/pa/enfmpsU7LaxbJAvkfVrkeBvHfhMi7jBJz7/etgL72kfjBzyAvozRo45I0GOYbcN6G0D3kGIGffD4H8VgZDz5DndMgD6EpxZrVW6kzpshKbi/9DLKGiG1lJcsiF/mMqh9yVdVkxcchlDjv3dwgPSe1DnpIhl4KvP7lYCUAWIB9ChnxoQD49DXQ6GOy0hl7UWSSQA5F1vqTqzQ4fyNmhQ9T6OrBVnoUzGMjv5HmFOOTLy+rCUoC+Nm5hEe5qApCPIHf9G78B3Lo1pPjGBz5ARZ333juEwfX0Nj9BeusW8Jd/Sf9+8ReHfq5jtUdlgXyPqjPpu9v+SmSlVwjIJx7hVlRQqcDISuCQOw45yf7B3PMUK3XmdcgBNZAXHVnJ4pBz7nakwwow1JU6Y8+riKJOhH28gwy55LGxLiv+A9yBnkPur2EUynXhOQ5KAzOHXAb1Xle/y4o0GuLv1FhHnxSIlsZBqlV4XfPIShKQl3qStodFRVYAVJvrw3XIGw2U2hRZiX1sWe7CaEWYdCBvzxCQSzPk/T5NNieQq7a/vg60J/zj7qoktrK9TQfPHMR24AA9jdsJ3W/X1oDN2gKcWxIgZwfcEQC54ygPR3eE3vUuuv3rvwY+/WmKsPzMz4x3Tla7VxbI96g6E5xDvrKCcnMLV3Aci/fM0sGcrc0r0zAy5EBQCAaEHSbyArm/YGBU/jduYQ65/8UzWN+M1l7mdMhjQF5EUWdCD/fIXLiVOk3bHgZFnQj7eAdzUMAwEF9y3s2aIQeASgVl6DvkaZGVUgnafchVDvnQIivtdnYg73dQKkkiMGx7CUp1yAFMeRtxUC7YIXe7Cof8+nUitoWF1O3wSgPy1nSCQ84eOMTISmfKvzIpA/IC3GmdXuRra8B2Y4G2J56RjdAhv9P1xBP0NfvRj9LqnP/6X2udx1q9QWWBfI/KadTRcap0UPdXI7uMEzh8l0P9oy5cUD94GA45EAFyqVldcGQla4Y8Fm/wv3j6q7ShIjPkAHIXdRbqkGtEVrrdcK6xDLnEzpJGVioVlGUOty6Ql8uoQN8hT4qsBEve53DIpUCecHKkzKN3io2slAY91KtCFlnzc5CaIQewHwqHPKGgVXsbAFCvo9RpAvDkkZXFxcT3vExTU8lAvjO1hHncxkRV0l5mBEDen05wyAuAYen6DYLW1oDWlH+iI7rkI8qQvxFUrQK/9muU6PzZnwV++IfHPSOr3SwL5HtU9YaDzdIMHVkvXwYAvFo6QYydBuQ3btAXapEZcmBoQC6LrHibW/FOgnkWBnIcDNZo7oVnyMdV1Omv1BnrsmIUWRGA3MQh9/Qd8ljeNa9DzkVWdE+MlBCtanuYxSHvFNv2EACmasIfNB1y9jFhH5uI/FV8lUCuafOlAvnkJFxvgBracoc8w5LnU1PqDDcAbE8uwYWHfR1JpmMEQO7N+EC+IulFXkBchDnk166p77O2BnT3pwC5dcgL0Sc/SW+rX//1cc/EarfLAvkeVa0GrDszdFD3gXxt5gQ5gadO0e9UVT3XrtEXnaHzpJqHzCGXmnQZIysbG8LiJVNT8PxvvEIiK44DTE9jsC4AOftWzQDkkQx5xqLOoWXIDYo6By0hsqLpkHuVCkoyIFfAtOiQeyUzh1zVqQVdLseekn2Wgm9S28MMGXL0is2QA8BUVYgcaAK5ZOmAUD6Qz2JVXtSpEVdJ3QYQXH3ah83CgFx6Es9ps06rVO5rLcf/OAIgd+YSHPICrl4ePky3r7+uvs/aGtCfVQD5+jq96Wy2ojDZFodWOrJAvkdVqwHL7gFq0n3xIrYr++HO+bnyu++mb+9XX6Wf/+IvKIf56U/Tz6+/Hh61cyrikHP5kphZ7XmZHfJ+X1j5zo+sAAUBOQBMT8MTgVzDrTKKrCggxnHogkWiQz6mLiusS0lQ1KnrkMuA2iBD7pXJIY89PphMVKo+5F6XOylIyT5LIdofuLAMeYbIijRKw004BuSanwMdIJ/BWi6H3ATIYxe2XnkFOHpUazu80oB8vUZAPilbFCcnkNdqdIKqAvK1NcBdSMiQFwDkU1P08r3yivo+a2uAN5/gkE9PW4q0shqxLJDvUdXrwA34S7K9/DJebZzB3Lx/AD11im4vXCAQ/tSnqOT+136NnPOrV4EjRwqZh3aGnHUPSMhjy8RYOPIFOzkZfONFOKbVoi+RhGwvQH/2PAEgubkHY66t0XwTsrJFFHUCQqcRHwLH2odcVdSp2WVlUBYiJ2yH6wK5D/SRu2foQ45eL+6QK+CXMWYEyDM65Kr4C1vIJ7JfYj0V5WPJ+pADCQ55yudAspZXqCQgH4JDPo3NeKHrtWu03KGh0oB8rUpA3tgsHsgdJ+IXxLS+DjTmJ+i1GRKQA3Qew/wYmdbWAHcpAchtftzKauSyQL5HVasB172DdFn3/HlcLp0Oj+H33EO3Z88C3/kOrUzwz/4Z/e73fo9A/fTpQuahnSHXKJCUiX0vxIDc/+KMOeS1WqqzI23TNz0NbGxGx1xbC8Akaay8GXKAODc4QfAh0LTLSlFFnYkLAynaFgaP8xUDasWiQtxUI1I65Io+aaqiTq+jH1lhjBnJOxecIWdArnv1RDkW95ipihDQZgWnKZ+DRFiemoLnumqHXBPIE6EfCI4H89XN6HSvXqXb48e1tsNr/3463KgSeytlAvLaevFADqiBvNul/bB/xiHglmXICwLyI0fUQN7rUca+cnCefqFyyK2srEYqC+R7VLUacHVwhKDx4kWc906HNZpHjlB3gm98A/jMZwhgPvUp4N3vBn75l4mWz5wpbB4Rh9z/JmRAHrAPq7LKCOSRTiuTk3CbO3AwiBd1phR0AgrAmZ6GsymJrJgCebWq7kOe0rJQFVkplVCsQ24SWTFwyHkAigF1wvyNHPKEucsiK+hxcxihQ67KkDtihlyjp7dxhpydmKYoEZZdF73J/SOLrMyVhVZKfueoLA45Y8lYdyZfK94seiihujZaII80L1lYkDcKX1mhFyZnfvvIEXVkJajZnCsT+ItAvrZmHXIrqzHIAvkeVb0OvNC7J/j5hQ7nkDsO8PjjwDPPAH/8x8D73keA/vf+XkgtTz1VyDxiDjkAbG0FkB7wsUbHEpkYv0e6Jvhflg004w55HiDfEoA8q0MuZsg1IgSxyIq/UifLl49rYaDI0vMmDrkrAHUGIJc65AmdaqSRFVlRZ0qGPOaQy4BcM2aicsh156Qci3vMRFkSWdFwsNNguTMxixmsxdnUILLCPo5pQD5bFtqi+IXqWR1yQB1b2Wm5uIUFuLdGC+RsPgGQyxblWV0tpB3tkSNUXiTrbsPOA+bn/XksC8WtKyuFdOCysrIy01iA3HGcOcdxPu84znn/VnoEchyn7zjOt/1/fzbqee5mTU4CL+BNwc9f2vm+6DH0iSeA736Xvtg+9jH63Y/8CPDAAwToDz5YyDxiDjkArK8XFllh34uRvsL+LyexHc+Q5wBytyggV0VWEiAmElnhHHIdoJXOhVsYKMLfGYs6TR3yWIY8Bcg9Dxhw7bQHpYqRQ66KrEQy5FmKOv2dGuPvjBlyWure03btlWMBgYsaA3JNYE4D8lZjBjNYi59DGzjkjkPbSYusxID8wgXa93fdpbUdXqlAvgPcdpeIWEWNEshFEAYKA3JWCyvrtMKe9uIi5CcGBc3BysrKTONyyP83AF/wPO8MgC/4P8vU9DzvUf/fD45uertfk5PAeZxB563vRPed78VLuDd6DP3RH6Xb6WngIx+h/+/bR5D++c/7tmt+RRxyBq+rq3EgzxhZSQPyWGRFAxSkRXIckEeKOjWAvN/n2jJmLOqMwLQMyDW6rESgtFyGJ+uyohFZ6XbDHyKRFYOFgQau0GUlBcjFx3tuToec3a+fs6jTfy1i6wBlzZB7HkroD98h1/gcMCBXwXKrpgByA4ecbSfNId/vCs/H6g8AACAASURBVEB+9izVwqQUpsqUBuTNpp8jl62cMwIgn5nBSBxyQB5bYecBS0uKeViH3MpqLBoXkH8YwO/6//9dAD80pnnsWdH3hYPX/uBLuPo7XwDgRI+h999PGfJnnonGRByn0HZWtRqBwmCAcInrW7cKy5AbA7mGQy5tIzc9jfLOZjSXrgnkAOcOV6tAv49+d2AE5LGiTjFuolHUGYFSLpReRGQlcMg1gXrgChnylA4psceXJAsDmWTI/fs5Bn3Ik4o6Y5GVdjvxtVD2IQeiJypjjKy4Lu0KFSzvVBMccgMgn5jIAOQvvkjHsAzScchXqgfUQF6pZDoRYNJyyBcXKTsyEFZZLRjIZYWdDMilDnmzSf8skFtZjVzjAvIDnuddAwD/dklxv7rjOM86jvN1x3GU0O44zk/593t2WXYZ8A5UAKpNNyjWjx3HH3ss7LgyJLHv5W4X/hEeESAfqUOeM0MOAFPYor8PBtpFnZGxOJDNVdTpeeh3+nEgNyzqjD3EMLISy5DrRlZEhzwBPOVAruhjrtiHSZGVyBwSlnxXFnX2++h2PKP3miqyAgBVdIyAXHoCyT2mUcpW1AkQLKsc8q3yjDxDbhBZAVIiK+Uy2m4d+xwOyNttiqw88ID2NnjpAPla/SABeWTFMdCBJoc7DhhEVvr9+CRXVwuBYWMgZ/uhoC4vVlZW5lJ/u+eU4zh/BeCg5E+/YDDMMc/zXncc5xSAv3Yc5zue58XWhPc877cA/BYAPP7445749ztRPKiyY/o4TA1+aewac8iXl9H2TfhYhtywqHNkGfKgH/IGKpVpOoHwPG0gj8RNwNrt1aIbMinqDMYQ8iCGRZ2xhyREViJRHplDblDU2S8pHHLJPkhy2B0Dh1wGv44YWUnJ8buuxCEHZemrVW7uKdAbOVEVfllFJ1NkRdWHfKIkaXto0Cdc5V5vlmZwBmvx85ciIysAdkr7MA0OyM+doxPijEDOPrJra4rt7QAbjQPArR06LvEmwSiBHCAY5uG3IId83z7ajiyycvMm/b1e9+fRatHznpoKgdw65FZWI9fQgNzzvPer/uY4zg3HcQ55nnfNcZxDACTVNYDnea/7txcdx/kSgDcDiAH5G1E8qCod8hEocml+bo7iMLduoeV/x+XtslKtEmxpR1ZSABpIdsinsUHPKfLtqVYMJjkSC+amsXJirKgTDMjr0Q3kdcgNIyuZizodweFOKGyVAXnfLaOCbbg5HXKnx0VWNEAyUhPBjeMOuqjw2045+WN3HUVkpe5mK+oEkmF53ZnBFLYRy+sYOuSJkRUQkE/xQH72LN1mjKyww5DqYunmJrCzz/eKbtwYGpB7XjQdqARy1oK226UHFnQgV7U+XF4OL2ZSkBxE6VNT4ZeJBXIrq5FrXJGVPwPwcf//Hwfw38Q7OI4z6zhOzf//AoC3A3hxZDPc5WJcu709XlODd8hR9vvaLi/LIyuNRiJQqsStAxT+AtmLOmUAyAN5pYLQXksB/Jh7yZzZbscIyGNFnUC0ZR9bFCehGFflkGfqsiLkJIwdcjFDntD6UV4UatZlRdWH3MQhB+glihV1AvEC0xSHXFXUCZhHVoyB3ACYkyIra/Df+2KsIoNDroysAFh3Z7F/wK1a+cIL9D7PGLcrl6mln6yJCkCHotb+A/TD9evRPxYE5INBuDga0/o67YtKBVEgZ2LHnIKA/NQp4OLF+O8jQH7oEN2ydizjdHesrN7gGheQ/yqAv+U4znkAf8v/GY7jPO44zm/797kfwLOO4zwH4IsAftXzPAvkvniHfJyxv1jx2uJiAOSOw/HT5qZxfpzJCMhzZshNgVzlkEeAXAO6YkWdIHc60mUl5WRGdMidwQAOBvmKOrtchjzFIY8Aucoh14ys9EvVeIY8VlkZHUPah7wnAHkKqFarQmTFf3AF3fDlGwxoYxqRFRncm0ZWSiX6LKnaHsYy5AVFVlYGiuyHYVFnWmRlxV3ETJezs597jmA8tiKRvg4oajYBOhR15jiHXPxjxuMUEzNLxNjK+jp3wU0G5AUfyE+fBl5+OV43eu0acJCFSRmQX7s2lDlYWVnpa2iRlSR5nncbwPskv38WwE/6//8qgIdGPLU9Ix7Ib98uZHG3TIo45EBQJNQ+QWwcXLLd3DSOqzAlAXmECwoo6iwKyN1uO97/OsUhFyMr6HZD/k2Ia/BjRCIrgN9izz/v9jzjok6IGfKEyAkfWek7ZVSh13JQBuS9UhU1tKNHqAQgV0VW3L4QD8nokEdODmKrXsnnw6YcKKNDzsYTgdyrVOEAqDmSyIrm5bIk9/p2P2xjGhu/qC4rAG47C7i3czb8xXPPAd/3fdrjy7SkaDMO0KFosKhwyLe2OFrNJh7IAycaGkBecFzkzBna79euRdu5v/IKLdoMIA7k7ARlSdVnwcrKaliyK3XuUTEg39oiIJ+fH888Yk7gEvX3jZnVOYqVRuKQ++A9i1V6TlmB3Idut9uOQ1eCwy0r6oxFVlIc8lhkBYi2DmRWmU4fcmEnJWXIWYpGjKyYOuQ80PdKtSi4AolAXS7T0wvcQNcFXNc4sqJyyCORFY0TrLQMuYlDzsYTgbzn0mNqOSMrKlhe7ioccs0TX6a0yMoyFjHd8R3y9XVazOyRR7THlykNyL2FRXqPyBzyjMYBk5ZDPjlJrxEP5GzCBcHw6dN0e/58+LvNTZoHWzgI8/P05mJAfu0aPYGc+8DKyspcFsj3qESHfFxAHnPIjx4Frl5Fq+lFv7NXVjJPMgbk9To8x8kN5BFH1Z/bHFbyOeT+9ku9dhTgarXE/u+yos5IQaIGkEccch+cpatlmkRW+MJQhbvuOML8AfSccq4uK32XHPJYhjwByMUxUC7D7ecs6kxyyFOKdF13uA552/OBXHTIC4qs3Oj4J9AikGt+zpjSHPIb3iJqvR2i9uefp1/mBHJVZKXToX9T+0vkUssc8lEAueOQfc6fNRQM5KxWlAdy1gaRtUWE69IVAR7ImWtuZWU1Ulkg36Oq1ehYOm4gjznkJ04AW1sobaxGeeX27cyXYmNA7jjoVSeLXRio0UCvXMM8btOYt2/Tl6ZplxX/SUuBPGWcoTvkKZ1aZEWdjoZDDggOP4C+U8nVh7yrcsgTIiviGCiX4Q5yFnVy+zF4aKxiWS4V3BcG5KD3VN0TqgcNIiVJRZ032hKHvN+niRg65IlA3g/XL8Bzz9H/C3DINzbihZUMkvftA4HouDLkAIEvA2FAWNM+v44epbfByy+Hv2NdVwIgZ/NgRZ0WyK2sxiYL5HtUjhOC6q5yyE+cAABMr1wu1CEXoaFbm4xmyD1Pe0EUaWTFcdCamA+B/OZNmq+GKw3IgdwEBKVtD7u97A45lyEPGJptwKAPObpdlv5QLgzEhow45MjnkPd8h9wkssJvhm0rFlkxLerM6JCzh6oc8mA3agJ5rIsMgJbnAzkE6jSIrCTB8us7EiDXyM+LmpwM2wDKdJ0B+fIyAfn8PHD4sPb4MonNQ5gi65MdOBB1yD1vqA752loKkN+4QbUsBvs2SaUSdVo5dy78HXPIg8gKABw7Bly5Qv+3QG5lNTZZIN/D2g1AHnPIjx8HAMyscUDe71OGvKjICoCu6JB3u/SFmjVDDmDHB/JqFQQHGpeOi3TIxS4r4CMrGl1WIoWNSQ65TmTFb+3hdbnuIgknBSIw9pwKyuijUvbC+QP6Drlbi3YjYWMowFXtkBdT1Bk5uTBwyGVAXne7YXoph0Pe6pbQQQXVQXaHPCnffWNrEn2nFAVyzefOa98+yvarwP9aN1xQDN/+NrnjCfEuHd19N91eEFatiCyHIDrkOzt0DBmSQ762JiTgDh+OnjHcvEknCQXqwQfDFBBAcF6pCA753XcDly7RAcgCuZXV2GSBfA9rcpK+YHKwbm6x733RIZ/b4IB8fZ2+6IqKrADoVAQgNwAFJZA3BIdc49KxCsgrXtsIBGVFnY5hZCVS2CgD8hSHPNYPvFKBwy9wlOCQi5GVnt8epeL4v0zoQy51yB3fIS9ztmpCZEWZITeMrGi1PTRwyGVFnZE2hXmAvAU00UBtIJCuQYZcle/udIBmy0G7MSMHcoOWhH4DowCGefV6wKue74ZfuEAO+RNPaI+tEito5OMa/BwiDjmz7jOuJixKBuTtNu3nSF37oUMU02HvgZs3C+9u8thj1IucvYQvvEAdJSMfo7vvpjfXiy/SgdYCuZXVWGSBfA9rZoYaEgwG44+sBOAxOwvMz+OujbMhr9y+TbcZJynLueYBcim8AdipzWEet+nvml+OKiCPxC00HPLUos4EGJXOJUOGnEVTIicGvV4UyBMccj6y0oUf9WBAbhhZ6TpVuPBQdrhBM0RWIkCeo6jTtMsKG0ucDyAAORsr5bWVZsjbQAv1uENuGFnpduOfBbYWUGdCAeSGDjlAmW5RrRbwCo6iX6oA//E/0mSeekp7bJUOHaLnlgjkBw/STmQTi/wxu2RALm3vzWI5LDYzJCAH6MIDQED+4IPCndjlhL/8S7o9ebLQOVhZWenJAvke1vw88L3vhf8fh2IOueMAjzyCk5vPhd/ZOfvrMiDnM6idspAhL8Ah36qTQ+44yB1ZiXQI0QBBaR9yMbKi4aKyu2aJrLB5RGIvPSGyYuiQV50uNykYRVYAoDLg7OoMkZXSoGvkkKuKOiMOueZ7Tcsh18xkJznkFR7IPc/YIQfiLjkD8v6+4oBc5pC320AfZawtngGefpp++da3ao+tkutSfjrVIQdCIC7IIWf7lAdy6SKcYg/w117L3QNd1OOP0yH5b/6G5nPpkgTI2eWEz36Wbu+9t9A5WFlZ6ckC+R7W/Hx4oC/4OK6tmEMOAI8+ilM738VEzSfMAhxy1tyBqe0DucniO0xKIK/OYw4r9IeVlVyRlYhDruFYpkZWEhbFkc6FA3Ldok72p8TIiqZD3nH8ntue/8YwjKx0QI8vD4R4R0pkJeaQF1TUWUYvfGhWh5ytrOlyG2CAmzGy0kIdlR5H0wknPjKx5IkI5Oy4MpjOD+QssiJzyNmuvH7vu+k/b35zYTnq++4jR5hXLEMOhDnyyB+zy3XDOCGT1CFnQe6rV+kMaHW1cHd6fh548kli7a9+lX73+OPCnY4epYl98Yv0vrnnnkLnYGVlpScL5HtYPN9GinRGqJhDDgCPPoqG18Tptv9tyByojJdjmePEx1YYkAe1XwU45Ou1JVTQC9sSFAXkpg45aznY52BaA8hVDnnwsJTICvtTsF8qFTi9bvTxmg55xxEcbsPISuzxbAzTPuReL3pilMMhNwXymEPuvzcbJe45sUV2UooYk4G8Ff0lt600MSAXI2HMIcfM8B1yAHjxf/k54MMfBn7zN7XHTdNjj1EsnZ8+A+O5Oagd8pyRFYC6qfAnIFIgP3WKbi9cCLuc+DU4RepDHwKeeQb41V+l1/ud7xTu4DjA299O/3/yycK6vFhZWZnJAvkeFm8kjQvIpQ75+94HAHhi2b8Eyprf8us3G0gG5K3SJKbAVXpmAHIxN3ur4e/Er3+dbjV26lAdcjGyktEhjwG5bmSlUoHT13fII5ETCA65YWSFOeRuT3DIDSMrZcPISswh51oVBi9h1i4r/v0nHAGgNa/qyDLkTTRQ7nL2tiEwqyIrDGJLc6NxyHt3HQf+9E9DMCxAYn4aoBpK1/XbDw7JIQdofNmJQKTLyr59ZFJcuEDFQMBQgPyTn6TX+YtfBD7+8XBRuYj+yT+hDlk/93OFb9/KykpPyW0brHa1+CuLBZg6mSR1yA8fxrfKT+Atr/43AD9PQH7ggPZldFEyIG+WJjGREcil8QYAt2o+gH/5y3Sr8eWoAvI6WtE4TcoLJFsYKLLKpIFDHrQthFmXFTZGBMjbPVTZ1BMccjGywhatKff9N4ZpZMURG9wjU2Sl5OUs6pQBeV6H3BWAXPMkUuWQl3I45OyzJXYxYg55aXF2qA45OxEYhinLgPyZZ4B3v5v+z1rEui7oP6VS6JBrrs6ro5kZ7ioDFA45QPntl18OgdxvG1ukDh0C/uqvKKL/D/6B4k7ve184Bysrq7HIOuR7WA89RLfvec/45iB1yAF8tvSDOHXz/6Mvu/Pnw8uzGSQFcociK0GlZwGRlev1E/Sfz3+ebnMAuWlkRQRhwBzII1CaI7LCF3XqOuSxyIrvcJf6gkNumCEP3liel62o0zNzyOt1YXVH//WsohO+tQyKOmUZ8kmHs6NZZCVFsRMFhEWdpU52IGdmsArIq4sz9MFjGy+4ywoDcvYZL1JLS9RAhGWnAWHNBtelOzGHPGfxOS+VQx4D8rvvJof8wgXaCQWt0inqrW8FPv3pQsx/KyurIckC+R7W/ffTl80f/uH45uCvHxN1yAH8qfdh/z9/CnznO+HZQwbJgHzHnUQJg3DDBRR1LpcOYt2doW4Hx46F19oTFINJ14VXLhtHVsTsNlBMZKWEfq7IitvXy5CLDnkLgsPd6dBj3fghJ9b/HKHDHjy+3ycoN8iQe6Vy9AqBxusQA3J/ezW0MxV1RiDacdBxa9GVNTUjKzIgZ20P3U72yErSIjaOA9QOCqt1ZgDyyUkaS+aQs8/0MIAcAN7xDuArXwnP22OLqB08GDrkKyv0Whj0WFdJjN6vrtJ+iH2EH3iAriB+6Ut0jMy5IJKVldXelQXyPa6nnhrvOg6OEy+E8zzgG50HcX3pIbpGurqaq5WZFMjhByGZtWcACqzftgjk3Z6Ds3X/Orfm4iQyEBxU68ZtD2WrbEaWfS+iqFOzywp/YuD2uXZ/KQsD8fuz4wkOd8L8ZfuwLT4+IfLCj8HPwStXwuev2Q6Q9eUOTi44hzxLZEV8j3XcBhpihlzjPRsrNkUYWXFzOOSqOMn6Ov3Nnc0P5I5DYyU55AUwsFRvfzt1MD1/nn6+dQtYWODucOBA1CGfmysEimWRlZg7DgDf9310+/zzkvYnVlZWbyRZILfKLbEQjsDBwdff+wv0i4kJKvXPKBmQb+cAciBehAgQPP3ugU/TZeyf/mntcQDBma3WCnHI3cHoizrF6ExJdMg12x62PMHhNgRy6eMBo8iKVyqjAn8fsj9oRFYAziWXOeTsj6YOOYCOW0edB3KDyIp4FYpFVtx2/siKcpn3mfxADtDFJhmQj8IhB8KykFSHvIC4ChBGVpgzv7amAHK+iPXDHy5k21ZWVntTtqjTKrdE9459Z1968qPAJ2ZpRbqILWUmGZBvefmAXOZedrvAM3MfAC7e0J6bzJkdVGqFZMhLeYo6M2bII4WIlQqcgeCwK2Be3J+Bw81HVlLiJpE+5mKGPINDPuAjK2weGg45QM7t5CTUDnm5nHhiw6Ya64zi1lH3zCMrSQ45WsVHVtbX/U4kBQH57GyYo+Y1bIf83nuJsb/8ZeATn5AAOXPIPa9QIJ+Zode+1aLnpnTIq1XK1Dz/PPD+9xeybSsrq70pC+RWuSW6d5HOCX/7b+ceXwrkokOuueIhkzROoL/AYSBpZKUsAfIsDnnRRZ0akZWIq+uvdFmtAhgMCFoUjxX3Z+BwZ4ysNAeSDDqboOYYXqkSAnnK45lUDnldjCBp5r5j7zGnHs+Qa7RIkjnk7TbQdetwWsU75EUD+fw8xUVEDdshd10yob/yFXqO7bbgDRw8SC/S6ioBeY7ic178bmNArqwRf9vb6J+VldUbWjayYpVbKoe8qFZmUiAfDMchT2HemGTObN93yE26e0i7rBhGVrQd8pTICn9iEERWGMxrOuStgeCQGy7qE8uQZ4isDFwussLGSQHp2MqVbLn7cie6CJVmN59YIaZTR80zj6yoHPJuuUGTFbsNaVrOlQqNLWbIEyMrjmP8QVlYCBfs5TVshxwgID93jtofAlSvHYgt5nDjRuGRFSDcbUqH3MrKysqXBXKr3BLdu1EA+aYKyDWcS0CdITcFcikI8g6555k75D6huoYrdaoc8gDqNSIrEYe8UkFpIAB5VofcsIe40iE3iazwRZ1ZHfJSCX2nhAlxdc2MDnnLqaOWscuKLEPer9Tp6gV7bTN8+KamDBzyZlNrZVFRCwvJDvkwgZzlyP/gD+g2sjo9Wxzo+vXCIytAmCO/dUuIylhZWVkJskBulVvDdshly3tv9CVA7rqJsMmrKIec8V3EIeeBnIGSRkeOwYD+BRly0SFPgcnUok7NhYEiDrnXjT4PTYe8KXPIFTtXdlKj7LJi6JCbRlZiDjmAfqmKRkl4g2d1yCE45JpjqfqQd8uN8Af+1rBPuKyoc/9+0NlwuRx1yDN8sOfniXcHg+jvm00a3vRzZ6LHH6eP3+/8Dv185gz3R+aQX7pEkymImlksZnmZ9m2zGbK/lZWVlUwWyK1yS+WQF+V6lUr0hcoD+XpPAuS1mrZzpwJy0ww5AwkeliJArllMGIFpxwFKpTiQZ1yp0ySyIjrk7qBHUzd0yJt9SYY8Bab5fRhzyFMiK9Isv1tGFR2jos6YQw6g69Yw4RbkkKOO2iBb28N+X1gNtU0tNgGEZxAFOOSDAdcVxHGiTbWbzUwf7IWFcFxeOzvDy48z1WphF9NTpwQTnFHys8/S7ZEjhWyTT8KwJi7sd1ZWVlYyWSC3yq1hO+QAfWknOuQ7O35bDD2pijqzRlb4sXoVKtwrl6EdkhWB0uPdabaBvJEVzaJOPjpTLsohT9i5sn3Y7BfQZaVcC4E8h0Pec6qou9wbXBPIZQ55C3VUM2TIq8LuAOhzFgB5Dod8aiqaIV9bI3gOFo2cnQ1JemtLqwhVFHOMxdhKRr431k/8BN1+9KPCH2ZnaQc8/TT9XBCQLy3R7c2bYZtz65BbWVklyXZZscqtYWfIgTiQr3UlQG5gtRUVWXFdYlQelHrlBhq4SWNpAnksclGpoNLqhjn0jEWdVbcfXjTI0PYwAPIiHHLF/P0LApHHb/fMuqzIIivsSoVJUafMIe+4NTRc4Q2uCdHie2wHDVRFh1yz7SFAT6PBpVQGNeEMwrCWAog75Ayag24kvEO+uZlp/XUeyO+5J/z9KBxyAPj7f59ccn7bAOjNd889wDe/ST8fP17I9up1ivzcuBECuXXIrayskmQdcqvcEh3ySNvDgiQC+XrX/xZnQL69beSQF1XUCcTBq1uZwAR2jIA85vBWKqhAgOEMDnmtxD3JDJGVsue3PUx5rLg/d3r6fchj2+Ufr9llReaQsysVJkWdMoe861RRy+iQ9/vR3HRzUEe1ny1DzjbNT0PqkFcqqT3SeYkZ8kQg39rKBeTLy9Hfj8ohB4A3vUnxEXr4YbqdnEzoTWgu1uLcRlasrKx0ZIHcKrfG4ZC3Oi465UbhDrlphlw2VqfcQAPNXA655y9qU6kgHDzDSp0RIM9Q1BlzyHUXBuqX0Yer1WVF9ngp0LM7SiTLkPdLEoc8Q4a849RQh3mGXBrF8eqo9pvhZAcD7Qw5IImGiRPOUHQpLms/DCA/fJhuX389+vtROeSJes976Pa+++iSV0FaWgodctflIkBWVlZWEtnIilVujSND3ukAncokqrxDnhPIs2TIgbi72y1PYB47aGbIkLM5eWVyyHu8u6sZWeEd8qorccgNFgYKTgpSHivuz24X6LlVlBhQt1qJHSxiQN910XPKKOfostIv11BGH2Wnn2mlTqYOqqg5whtcw+7kc98MqHe8OioDIe+tWSAKxE98vbokspJzFc1hAPmBA3Qu99pr0d+P0iFX6sd/HLhyBfiRHyl02AMHgBdeoJOQxUWjixZWVlZvQFmH3Cq3xuGQt9sE5EUWdWaNrMRgsjyBBpoEUVkd8jIXWcnhkEuBXHNhoIE/h0iXFU2HvNul7iQBSKcUL4qxn04H6Lk14y4rkchKyV/23mtrvw4yh7wNctrDX2R3yHcGdZT75gWYKofcaeR3yOfmyCFnb49UIM9Q1FkqAYcOAa++Gv39rnDIy2XgF38RuP/+Qoc9fJhOQC5cKGwBUCsrqztYFsitckvlkBfpfPFA7nk+sFUnoxlyg2/2ojPk/PPvuA1MoIlqxcvtkJsAubSo0zCywj+XvivJsRsAed/lztRSQFHsSNLtAr1SNRp54Z+k5PFA9DXtMiAftLThV+WQV0WH3MDVjmTjB3WUB13an2zfZHTI223OIc8J5EDI3Ldu0RDBx2lmhnZIu53ZIQeogYkMyMfukA9Jd99NNbBf+xr938rKyipJFsitcmvUDnm/7zceqU2OvcuKbKxWieZRHbQyO+SDUnaHPFLUaRhZ4cF44OrPQeqQl2pGQB5zyPnHs1vFGOw8gQfyXonua+KQV6vUeIMH8pZXozGYmk2t95rokHsesNXniJ+9oTXGUrU9dCckfcgzRFYAWrgHoMLLhQWupT9bdnJ1tXAgN6zF3lM6fZpu223goYfGOxcrK6vdLwvkVrml6rKSpUBSJR7IGZv1a5OZu6yIAMhc9yxzFh3ytkPQVe3tZHfIMxR1ytsemndZYZsjh7yHStnTAnJ2osSeR593uDMAeezxgHIMWetEFlkp99vaZ4mOQ3eJRFa8KqoQ3uAatq4I0f0+sA2uXSdrbaLxvq0JXSABAcjZhDNYzswhZ0B+7RrFSwIxIL92jYpQcwI5e48AFJXZvz/TcLtebDEiAHjyyfHNw8rKam/IArlVbskc8npde9FMLfFAHgBOvTiHXLOzoNZYTZfmUWqbA3lhDrnfLaLimkdWWKu+vuO77OW+FpAH2/afR8/AIY8VxnapS0rk8UAq1PMOeccxz5Czu/AOeXNQQ3XAvcE132viPul2gS34MLu9Hb53NYBc5pC324A7KWRstraMLWfmkLPCztdfD7uiAAiBnNnbOYB8ezvs6OJ5wPr6nQvkS0vAxz4GPPYY8M53jns2VlZWu10WyK1yiznkzPnKcNU8VVKHnAG55+Uu6tRkXqlEmGw6BGtOq1lsZCXFvhehvueUUXXMIysAy4DTDzW3awzkEYfcl95OoQAAIABJREFU87I55GV9h5w9rcgYPJAb5KgaDaHFZr+KCnPIu13ajwYOuRTIt7aMgFxV1FmaFCIr29vGwCw65DEgZ8TOgDxDUScQLoLJhmm1aFdOT2cabk/o938fePZZ22HFysoqXRbIrXKrWiXmYrw3LCBvNsNoCQAMGj6Qt9tk6eYo6swD5LEMOXxY28keWcnikItQ33fKqLj98A6akRXAz3A7+kAungx0u9R2EO22Vr9tOZBLHPKEAkjxNe24foacZfnL5cSTESZ+oRzPo1VDK8whZ6+ngUPOr20URFZ4INcAaLGos9ejf86UPx47g8gQyuYd8nYbuH17OA75XXfR7Suv0C1zyu9kIAeKvVJoZWV158oCuVVuie5dq1V85wTGP61WCCWDCR/IDYrjmGQACBSTId+BP48m55CnnKHEHHKDgkom16Uv/yAD7pRRcSSRlZS2h/A3aQLkUoe87IexNdxpfh96fmTdEx3yWi2RbsTIShv0xqwM2kZvSn4p+XYbaKOK8sCfh0H0JdEhN4ysiJ+xoK36RJn26+ZmOG5GIF9ZoZg4MBwgZ6vSX7lCt28UILeysrLSkQVyq9wS3bthOeQAsXfgkE/tp291g+I4piIjK7FVJsFNlhUApthkokPed82LOtldIg65GFlxnMTVCCMOuR9ZqTrZgLxb9XNGmvnv4Ln7xaGDin4GHVBHVioDP0Ou+abcty/Kt23UqDAUyOWQdzoKh9wgQ96WTYM/g8jQBaVcptjK9evhSprMzQYQAvnly3SbkaAPH6bncekS/WyB3MrKyiqUBXKr3BI7QAwbyAOHfP8sRSGuX4/eSUPDzJDveFyhnWZHjljcJINDDkShtAcJkKdENniI7A7ovo1KL5tDnhHIgxOuin6XFjYG75C3vPwOeQzI2dWYETvkYlFnBMjZGYTnZe4jeOwYcPVqyNws7w2A9nu1Cpw/Tz9nXAO+VCKX/OJF+tkCuZWVlVUoC+RWuSWDhVE45N6Mf62drcdtACLDzJBvyxxyjfnw88gSWWF3UTrk/X4qkPMQ2YEksqJ4vAzIewZAzrdbDPZBles/qOmQyyIrQdvDjA55Ew2UOn4BwzAy5BnaHkbOC6amaMKdDr3GGYD8+HGKkpw/TxdRIgvZOA41Jmd5loxADtCKldYht7KysorLArlVbo3aIQ96RLPw69WrdJsjslJkhnx7IBR1ZnDIezkccjYXqUOe0u4h4pB79EO91A0npuGQs8hJv2bmkIuLcg5qE0YL3oiRlRbo/uV+S/t1AOIOeRMNuN6ABjdwyBPbHm5t0b96XasFhwrIA4ecjceegKGYQ37uHMF5bFcfO0a31WrmLisAAbl1yK2srKziskBulVvicuPDBnK2ndKCD+TsOjvLumpIFVnJAuTiWFt9oagzg0Ped2kxmkoFRmcL/CJNPZRRNoys8A55e5CtqDN4DvWckZW60OsyY2Sl3MvukO/sSGoCgEyra3a73FgssqJ5Eil+xmJAvrlp5LiLOnaMAPmZZ4AzZyR3OHqUbg8dytU25ORJKh5dXw+B/E7tQ25lZWVlIgvkVrnFwzIwfCBn2ykv+kDOroEbAnmvF/ZOL9Ih3xxwsQTNlRNjbQNLNdTQJtBltmhCyz+mGlcH2UcJFQi5HM3WiZ0O0PHyAvlkFGIT5s8DeRBZ4YE8i0PuA3mp1zZ2yHd2/JU1t4WuOTkc8k4HGKCEfq0RRlY04blaJQ4WgTyIrBi2URTFOqCcPw/cc4/kDvfdR7cMzDPq1Cm6vXTJOuRWVlZWvCyQW+WWzCEfVttDnu8qS9kdcgbeDIDzALnokG/0J9FDiWzAzU2tS/yxlS7dbEDOnxz0QJ1aAvV6qUDOu7odv6iz6poVdbK7evUJolpmN2u2PQxqBBrmQM475M0B7S+nY+6QA6GJ3ZT1lc/okAP+iYohkDtOdAVRaVFnhm5DTI8/Hv7/qackd3j3u+k255KTJ0/S7aVL5JTX61pvaysrK6s7XumrZFhZpWhcDnntgA/gzCE3uPbNO8F8fjmrQx6Jv/QcbJdnsH91lUBpaSl1jJhD7gN5O4dD3vOEyEq3axRZafWzLQwUcbiBcAlIw8iK1/Az5IMBvalSXl8xssKAHC3zDDkQMrO0r3zGDDkADBpTxpEVtklpZEV0yDMA+cmTwHveA3zve8AP/IDkDu99L/DCC8C99xqPzYs55BcvAjduAAcO5BrOysrK6o6RBXKr3BId8mF3WQnW2lncRwVxGxt0B4MWKbx7OTkZQmDWLit8ZKXTAbYrM9i/tkZz07gmLxZ1dmUOuWaGnN29izLK4FbqNIyssAy5aR/ywCFvZAPy4OSGXw2q1UqlNzGyEgB5O5tDzmLZEYc8Q9tD0SEfTEyFgxcB5KJDnnHhns9/nsZXPvyBBzKNy2tmhv5dvAjcvKl1rmplZWX1hpCNrFjl1qgd8sCknHDCmIqh1Sb2iC7SIe90gO3qLLC2ph1ZEYs6Ccg7qJQG2SMrniSykqGo0xTIg5OTCX0g5/dh8PhJobVOyvOPrdTZL1N0qG2eIQdSHHKDtocxh3xqmk7UNN8bTDIgDzLkvV64nzM45ACd22ZkeSPdcw9w9iw55BbIraysrEgWyK1yaxRdVhoSk7JeR7jG98GDRuOJ7mXeDLnokO/UZoDVVQIvgwx5kGlnq0x6ncyRlY4I5AYOebsNNHvZgJxt35k0c8jF18IRe10aZsg7HaDt1OmNOUaHPNY9Zv8svTdWV8PWnRpKzJAD4TKbOdoSjkKPPAI89xz1Pc9ZI2plZWV1x8gCuVVuTXAGIutDXTSQs/Fiq9GfOEF/OHTIaDxVnCCrQz4Y0PNmYzVrM7SCaK+XySFvu/SEK4N2SLgaeZpqlYusDCRtD1PGYPu53SaHGQD1Mh8BkHe71PUmAHLRITfsstLtAjvOpE/V+g45Y+SVFXpovypcnqlWATf90ClbGAjwF7RaXaUNzM1pzQmgzxk7H4icF7D315Ur0SewS/XII/TUV1eB06fHPRsrKyur3SEL5Fa5xbvXOTqvJcpxQiDZ2eESAyyqctddRuMV7ZADUSe0VZsJi001oCvmkINb9r3dJutbo/8z60Pe77MMuVlRJ3+1gznkbt93yEsl5RxkQO7u81+kGzfoNuFNwR7f74f70Z0yA3IxstLpAC13MrS6Nd+UCwt0e+sWXeAI5tFs0liaffpUkRVvdo4C1BsbRkAuRlZqNf+8YH6efvnyy7TRjJGVUenRR8P/s26KVlZWVm90WSC3yq1KhVit2cxdV5YoBuQRs/PHf5xuP/IRo7GKBHJZNKHV4FxKBkwJEh1yFlkp9do0oGZvOBZZabf9toeeWWRFBuRBpWbCY2VAXprigLxSSXwOkXaLokO+vZ3dIS9NEfwC2lEOtjL88jK5uLUZ7oxTs0gXIFguleIOOWZnQ4s7Y2QlclLKA/nsbK6Fe0ahJ58MX4p3vWu8c7GysrLaLbJdVqxyi/VI5h3yYZh0UiB/z3u0c9q8VECetcuKOFa7wfVEZ5ZrgkolArggsgKuQwhzyDXEIisMyEuGRZ2MeVutsO1hZiDnHfJ9+xJBUVYUWpr230QZgbzTAdqlSYoOAdpnibUaTXd5mepya7OcQ24A5EC0WDWYG1+AzOhfQ0ogZ++vy5f3hOVcqQDPPkuvzy6Pu1tZWVmNTBbIrQrRxMToHPJWS2hykeFbfRgOOe+EdibMgJyNw8bICuQsstJu00qdJdEhT8lR8w75TlcfyPl9EAPy5eVwKUiFZG0Tg8evrtJtCpDH+sF3gVZ5Erh+nn5h8KZcXAwd8kNz2RxyQFGsepyrZDSoahSLOmMOOaD9Xhu3pKuBWllZWb2BZSMrVoWIOeQjj6xkVJFAXuPYmY21PXskvINmB5iigDzikHtmRZ2VCjn1zSbQ7Aqr/SQ8li8GZc+hPMO9CVIgVhZZCbLbmpETvsMMG6tdngRu39Z6PK+FhRDIp+Zr4br1BTjk7lHuvXHsmPZYokMefAZmZ8P3h21bYmVlZbUnZYHcqhAxh3wUkZXI5fqMKrLLCh/zYGOuLZ4J72DgkDOgbHkCkGtOLBZZ8YSFgVIiK/wS7bEMecJj+X3AnkN5gbtKkALDMoe9OiMAecpZHr//2LQ7Ze6NaOiQ37pFUL6wyGWycjjkgfN/P2cPs7adGuKBfHub+wy4bgj2hsXNVlZWVla7QzayYlWIRuWQb2wQ4MzMpN8/Saoe0Vky5LxD7nlkKG8eOE3rhD/8sHaRHe+Qx4A8o0PuGhZ1AgTXrRaw3dGPrLDp8UBemyzTcvfr66kvGO+wsxObILut0aWFzYHvB9/tAjtVbrsGIL24CHzlK/R+u+suhGecGYA8tvjUzATwr/4V7ZtSSXssHsg3N+nhgdhGzpyJPc7KysrKavfLArlVIRId8mEB+fXrBDbDiKxUKtkaVPDuMOOicqMCXLhgNA4PlAGQM8I1zJC3Wr5DPjCLrAAh+EUy5CmPZfsuAuQ1UJxifT11JdVIMSkD8jnf3dYsypRFVrbrXFtBg3z14cNU0Mn+j4kJenNniKwEMaQ2mdnlMoCf+zntMZgajbCl5caGkE75pV8CPvlJ4IMfNB7XysrKymr8spEVq0LEII455MPuspI3siLrjJIlrgJEHfK8xaF5HXK23a0t3yEfmPUhB8LX0sQhd5zQWY8BOWAE5MwFru2r0h9ee41+oemQe1447Z1GtoJHvujw6FGQHX3rFk0wY2TF4GWUip2Etlp0jhNxyD/xCdrAkSPSx1pZWVlZ7W5ZILcqRMxAHLZDzlorFp0hZw55Fsny03mBfHvAL5lp5pAD5KBKgVzTIW+1gO22flEnoABy9kZYWkp9LBA65Ky3PWZmgFdfpT9qADkQfU2bDc4hNzhLfOCB8P8PPwyi31deoV8YAHnkqkerGCBXJmeynlFaWVlZWY1dFsitChGLCm9t0WX5POCh0tQUgYhGJDlVMiAvwiFncYuUDn3KOTGY3ellz5ADIZA7YmRFwyGv1/3ISodbrUgTyNl0g7kwh/wtb9GaNwPyYP/NzpIzDWgVdQLh9rtdoDnJ9fk2yCM99hht7uhRfzHNmRng6lX6owGQs33C5pXnc8Ge/sYGfc4MpmFlZWVltctlM+RWhWhmhjK3bIXyYSwWODsbRmKKBvJuNz+Q8/nnLBn3iEOeEcjZc9jcBDyUadl7JgOHvNkEWm0HPaeMsgGQM4fccXz2/43fAN7xDvqX8lhAAuT8C52y4qnMIX9t6c2Jj1GpVKISgCAWsn9/GCo3aJ/I9gmQH8jZrshg1FtZWVlZ7XJZh9yqEM3MkHO3sTGcuArgO5Xc9vKoSIdc1iEki0POxxu2uvkc8vV13yHvZy/q3N4G+m7FyCFnQF6t+idlx48Dn/40XTZJeSwQ7sPghIa90KWSEJqOS+wH3+0CzZlDwM/8DPC5zyU+VqalJW6389s2yKLXalEgz/K+YGK74sqV+JSsrKysrPa2rENuVYhmZqiY7vXXh1PQCYTpB7a9PBpGZIUvSMwaWdnYoP/nBfKNDaCMKpyu0AdQs6iz1SIgH5Q4IE+x/XkgN3WClQ45Kwadm0uFetkCTZUKgN/8d2aTkYlf4v7QIe2HDcMhz5CcsbKysrLa5bIOuVUh4mEhw0r2WrrTHXI+Qx4DcoOFgQCKrHRQhdPLHlnZ2gI8t6xd1Mnc4E6nQCBnC91ovOAyhzxroW5M/II7YwJydkJqgdzKysrqzpMFcqtCxHjp0qUoOBcpvnNe3gUJmVFcRJcVWYY8K5AHkZUOV6GY0SEnIO8BgwH90qCoc2ODgHZQzhZZyQPkzSa3/1gbP40BxaLOPCdZMfHtBA0yWUUWdVqH3MrKyurOlQVyq0LEYKHZHB6QnzoV/v/48XxjOQ7BGr+K4m5wyIMWeR0XHbdGOzRjhrwLro+459GKMpoOOWts4o0ByCMO+bveRbePPJI6Bl/UORjQbZ7MdkQPPUS3hnks3iHP2/ZwepretwzIbYbcysrK6s6RzZBbFSI+UTAsIOe3UUQshgfgPF1WGKfmdcj5os52G+iWJ1Dd2qIfNBuvs+2ur5NDDoAGZflrTSBnpnoA5BqUnQfIxasMAWw+8ADwhS8Ajz6qPQa/QFNhQH7kCPBHfwScPm30MLGoM4+r7br0+MuX6WfrkFtZWVndObJAblWIRgHkAPCtbxXXxYUH8k4n+7iOEy7bzoo687Y9bLeBTmUSk8yq1gRyZuCurgJdpwp4IKAulegPGpGViAlcGQ2Ql0o0NXaVIbKw53vfqzVGUf3glfqxHzN+SJEZcoA+Z6zLCl9namVlZWW1t2WB3KoQ8UCeskp6LmkYpdoSgTxP3phlhYsq6my3gW51Alhepl9oRiUYt6+sAF65CnRBT44BuYZDzp9QOWwnafTs4xcGygKeDF4jbQ8NNHQgzyC2TzyvWCCfnR3O4ltWVlZWVuORzZBbFSI+z3rixNimYSTRkc4D5CyaUFSGnIB8MgRyTYc8CuQ+fHc6VNAJmAP5ZCN8YkN0yPnHRzLkBuKLOtnrMG5oZc+DndMUAeQAcPBgvnGsrKysrHaXLJBbFSK+RfReAfJKhSuizOjKMhXhkLMMOStI7PFArumQs7vt7ABOzSdUVpQJaEVWeCAvT9bDwlINh3ycQM4Xde4mhxwI90ve+Zw8SbdHj+Ybx8rKyspqd8lGVqwK06/8CvDNbwIPPjjumeiJj4hkhUAm0SHPAqTMIWcnCb36JPBatsgKAJQaVWAN0TyOoUNenqoDOxtalM32wfa2UavuQAzII20PDbQbIytisWpeh/zMGbq9775841hZWVlZ7S5ZILcqTD//8+OegZn4riZ5gZw55M0mmdAaRnRMjJm3tuh2UJsI250YdFlxHMosVyYkkRWNiR07Fv6/tK8BXHslHDxl250OLUqUpUC2KIec5djZmOOU6JDnBfJPfIJOej/+8fxzs7KysrLaPbJAbvWGFVuREijWIc86Dr/KJgD0J7jejpoOueMQu29v+w45QJTMIisaDjnvbjv1OrC2Rj9oZMgB4PZt43bdweObzez9w3ejQ140kB86BPzn/5x/XlZWVlZWu0s2Q271hpW4aEteIGcgmDWLzoB8Y4Nue/u41jUGq8CwHu2VSS5DblDU6TjA008DZ8+Cdsr6Ov0hZQcxV3xrKzuQa25Kqip3/rHbijq3t+lix7jnY2VlZWW1O2WB3OoNK+aQ93r0Lw+Qs7HygD2DtcAh3zcb/nF2Nv4AhVgGvDolccg1szTveIefU+YvI6TQJN/6MiuQsxrWLJGX3eyQsxMNC+RWVlZWVjJZILd6w4rPLLOfs2pyklzQIiMrg/3ZgHx+nm5rU1yG3CCyEhH/ZFKeGG/iZwHyyUng+nX6f5aVWGVtD8cN5AzALZBbWVlZWSXJArnVG1Yss8zgLU/bQwbkWTuEAHEg9/ZzlrMBSDN3ef8i55AbFHVGZADkvEOexeGeng6fe5Zl4dmKqSyvDYwfyNn2NWP4VlZWVlZvUFkgt3rDqtEo1iHf2irGIWcZ8sHCUqZxGIwuHOYy5KydjOnqR3x3lxTbmnfIswA1/5gsDjkQFrTuFoecbZ+9puOej5WVlZXV7pQFcqs3rIqMrExNEQju7Gh3KIyJOfQs3tA9fX+mcd71LrqdWeQiK4zSTS1anoxTbG++f/mBA2abAaJAngXoATox2tnZfUWdzCG3QG5lZWVlJdNYgNxxnP/1/2/vbmPlqM4Djv8fv+EXEMbYUAdDQE1CTZsKGkrSEqK0hJemUWwQVQktRZFapChR1SKlBSlq1bQotKpUPvSFRGnqSKWhaRK3CKxQaNIm9AUwScAGQiGAGmMLYwMCy+AI8/TDzNhzL7PX3t25d/bu/n/Sandm54zOfTz3+LlnzpwTEY9ExBsRce4Mx10aEY9HxJMRcf1c1lHjr/4gJrQzhvzllwfv3a0S8hdfLN7z1NOKJPjGG/s6z6c+BZs3w/svrg1ZmYOEvL6ce5cJ+Sj1kFf/pn0uuCpJmjBdzUO+Hbgc+GyvAyJiIfBXwEXADuCBiLg9Mx+dmypq3NVXhqy2B7ViRbEYz/PPw/rBOrYP9awfGm+8bMHhQdV9WLgQNm4E/q82ZGUOEvL68PRhE/I+nmGdYnpC3nUPeRWy3buLdxNySVKTThLyzHwMICJmOuw84MnMfKo89jZgA2BCrlYsXVrMDV3lvMMOWQHYtWv4HvK9e4evDzB1Yu4qIe93DHk9Sz6KJzWvvx527hwsIV+zpvlzP5YvL4asHDgw+IqpbaoS8Oeem7otSVLdKK/UeQrww9r2DuDdTQdGxLXAtQCn1df9lmZQJcBVj/Qws6xUDzS+8cbgwy2qHvI9e4r3QWYqmWJxy2PIj+Ivjc98pr/T19V/dRcMOJhuxYpiyM+wCz21ZdmyYvYXe8glSTOZtTHkEXFPRGxveG042lM07MumAzPzc5l5bmaeu2bQrjVNnCphq8ZsD5PA1YdYDNtD3tp443oPeTXLSr8Jef2vi1nOcE8/ffhz1IesdD1cBYo/LFassIdckjSzWeshz8wPDHmKHcCpte11wM4hzykdMv0hymHyzfoMI8NM2QfDrVY5xZIWxpDXu61nHmI2tJNPhltvhXe9a/BzVENWRqWHHKYm5IPOwCNJGm+jPGTlAeDtEXEG8CxwJXBVt1XSOGmzh3zYKf/g8B8Ie/YUPatD9/DWh6xUg6n7PWl9tZ85cNWQv+FtLNDUtmOPtYdckjSzrqY9vCwidgA/B9wZEXeV+98SEVsAMvN14BPAXcBjwJcz85Eu6qvxNH0M+agk5D/6UZG4Dd0hvWBBMeXKMGPIAb72Nbj33iErMzeqhHzfvsHvVLStutOxYIE95JKkZl3NsrIZ2Nywfyfwwdr2FmDLHFZNE6TNHvLVqw9/rs/H3Y8FC4rkbd++FoarVJYsKYasLFhQZPiDTDty2WUtVWb2VUNWXnmlxRgOqfpjbdWqwR9WlSSNN/970MRqcxXFeqL11rcOfp5qtpbWhjYsWXK4h/yYY2Z9HHjX6vPBj0oP+YknFu/1uyiSJNWN8hhyaVZVQ0ReeKF4H3bM8T33FHnvMD2zK1fCs88OvjDOmyxeXFQqczSmHZll9Xm/zzqr27pUTMglSUdiQq6JVSXgu3cXQx0WLhzufBdeOHydqh7y+hCYoSxdOpEJ+Z49ozNkpUrI5/j5WEnSPGJCrolVPWD33HOjM7yhStpaS8irQdUTkpDXH5oclX/TNuZXlySNN8eQa2JVa97s3z86yVu1rlXVqzq0ZcuKOQAPHDg8L/kY63Nh0Tnx3vcW75df3m09JEmjyx5yTaz6IpSjkrxVnditLThb9ZAvWjQRPeT1Owujsmjv+vXFXZhRqY8kafTYQ66JtXTp4bVzRiUhr3pRN25s6YT1HvIJSMjrSe8oJcAnnTT2E9xIkoZgD7kmVkTRS7537+gk5JdcAq+/PvwDpocsX17M67h8uQm5JEkjyh5yTbRqVpPWxmy3oLVkHIoe8v37J6aHvD6zytq13dVDkqR+mJBrolVzQw+63P3Im7AhK/VhIevXd1cPSZL64ZAVTbSqh3xsE/LlyycqIQf4zneKxZVavdMgSdIsMiHXRKvmrV63rtt6zJoJG7ICcM45xUuSpPnChFwT7ZOfLB7s3LCh65rMkgnsIZckab4xIddEu+CC4jW2li2Dgwdh3z4TckmSRpQPdUrjbNmy4n3v3qnrykuSpJFhQi6NsyoJP3gQVqzoti6SJKmRCbk0zqoecpg6SbckSRoZJuTSOKsPUzEhlyRpJJmQS+PMHnJJkkaeCbk0zuwhlyRp5JmQS+PsuOMOfzYhlyRpJJmQS+NszZrDn1eu7K4ekiSpJxNyaZzVE/K1a7urhyRJ6smEXBpn9bnHTcglSRpJJuTSuKtmWnGlTkmSRtKirisgaZbt2gU7d3ZdC0mS1IMJuTTujj++eEmSpJHkkBVJkiSpQybkkiRJUodMyCVJkqQOmZBLkiRJHTIhlyRJkjpkQi5JkiR1yIRckiRJ6pAJuSRJktQhE3JJkiSpQybkkiRJUodMyCVJkqQOmZBLkiRJHTIhlyRJkjpkQi5JkiR1yIRckiRJ6pAJuSRJktQhE3JJkiSpQ5GZXdehVRHxCvB41/UYI6uBPV1XYowYz3YZz/YYy3YZz3YZz/YYy3admZnHDXuSRW3UZMQ8npnndl2JcRERW41ne4xnu4xne4xlu4xnu4xne4xluyJiaxvncciKJEmS1CETckmSJKlD45iQf67rCowZ49ku49ku49keY9ku49ku49keY9muVuI5dg91SpIkSfPJOPaQS5IkSfOGCbkkSZLUoXmTkEfE0oi4PyIeiohHIuKPyv1nRMR9EfFERPxjRCzpUf6GiHgyIh6PiEvmtvajZ4Z43lrGaHtEfCEiFvcofzAivle+bp/b2o+eGeK5KSKersXq7B7lrymv4Sci4pq5rf1omSGW367FcWdE/HOP8l6bDSJiYUR8NyLuKLdtOwfUEEvbzSE0xNN2cwgN8bTtHFBEPBMR28qYbC33rYqIu8vr7u6IOKFH2f6uz8ycFy8ggGPLz4uB+4D3AF8Griz33wJ8rKHsWcBDwDHAGcAPgIVd/0wjGs8Plt8F8KWmeJZl9nX9M4zSa4Z4bgKuOELZVcBT5fsJ5ecTuv6ZRi2W0475KvAbPcp7bTbH5TrgH4A7ym3bzvZiabvZbjxtN1uM57TvbDv7i+UzwOpp+/4MuL78fD3wpw3l+r4+500PeRb2lZuLy1cCvwh8pdz/RWBjQ/ENwG2ZeSAznwaeBM6b5SqPtF7xzMwt5XcJ3A+s66yS88gM1+fRuAS4OzNfyMwXgbuBS2ehmvPCkWIZEcdR/N439vLozSJiHfDLwOfL7cC2cyDTYwlguzm4pngeJdvNBjPF07azNRso2kw/1pZgAAAFZUlEQVTo3Xb2fX3Om4QcDt2G+R6wm+KH+wHwUma+Xh6yAziloegpwA9r272OmyjT45mZ99W+WwxcDXy9R/GlEbE1Iv4nIpouxokzQzxvjIiHI+IvIuKYhqJen9PMdG0ClwH/lpkv9yjutflmNwO/B7xRbp+IbeegpsfyENvNgfSKp+3mYHpen9h2DiKBf42IByPi2nLfyZm5C6B8P6mhXN/X57xKyDPzYGaeTdH7cB6wvumwhn1xlMdNlOnxjIifqn3918C3MvPbPYqflsXSu1cBN0fEj89ydUdej3jeAPwE8LMUt65+v6Go1+c0R7g2P0IxLKAXr82aiPgQsDszH6zvbjjUtvMIesSyznazDzPE03ZzAEdxfdp29u/8zPwZ4JeAj0fE+46yXN/X57xKyCuZ+RLw7xRjdFdGxKLyq3XAzoYiO4BTa9u9jptItXheChARfwisoRiH1qvMzvL9qbLsObNdz/miHs/M3FXeyT4A/B3Nt/u9PntouDZPpIjhnTOU8dqc6nzgwxHxDHAbxS3rm7HtHMSbYhkRfw+2mwNqjKft5sBmuj5tOwdQi8luYDNFDJ+LiLUA5fvuhqJ9X5/zJiGPiDURsbL8vAz4APAY8E3givKwa4B/aSh+O3BlRBwTEWcAb6cY5zexesTz+xHxmxRjnz6SmU23vIiIE6pbiBGxmqIReHRuaj6aZohn9UsbFOPMtjcUvwu4uIzrCcDF5b6J1CuW5de/QvGg0ms9ynptTpOZN2Tmusw8HbgS+EZm/hq2nX3rEctft90czAzxtN0cQK94ll/bdvYpIlaU4+6JiBUU19h2inaxmjWlV9vZ9/U5bxJyYC3wzYh4GHiAYlzpHRS3sq6LiCcpxkX+LUBEfDgiPg2QmY9QzCjwKMXYvo9n5sEOfoZR0iuetwAnA/9dTvPzBwARcW5EVA+JrAe2RsRDFP+p35SZE/2LS+943hoR24BtwGrgT2BqPDPzBeCPy3IPAJ8u902qXrGE4j+ZKbdcvTYHZtvZHtvNdtluts+2s38nA/eWMbkfuDMzvw7cBFwUEU8AF5XbQ1+fUTwULkmSJKkL86mHXJIkSRo7JuSSJElSh0zIJUmSpA6ZkEuSJEkdWnTkQyRJ4yYi3kGxot9u4J7M/EbHVZKkiWUPuSSNkYj4rx77N0XEFbVdvw18FvixXsl4RNw808p0EfGJiPjoUBWWJDntoSRNgojYRLEwyFeO8vhVwJbMfM8MxywH/jMzJ35FP0kahj3kkjRGImJf+R4R8ZcR8WhE3AmcVDvmwoj4bkRsi4gvVCv0TXMFxWJAVZmbynM9HBF/DpCZ+4FnIqJpaXNJ0lEyIZek8XQZcCbwTuC3gJ8HiIilwCbgVzPznRTPEn2sofz5wINlmVXl+X4yM3+acuXE0lbggtn5ESRpMpiQS9J4eh/wpcw8mJk7gWqc+JnA05n5v+X2F8tjp1sLPF9+fhl4Dfh8RFwO7K8dtxt4S9uVl6RJYkIuSeOr6SGhOMqyrwJLATLzdeA84KvARmpDWcpjXh2ijpI08UzIJWk8fQu4MiIWRsRa4BfK/d8HTo+It5XbVwP/0VD+MeBtABFxLHB8Zm4Bfgc4u3bcO4Dts1B/SZoYJuSSNJ42A08A24C/oUy6M/M14KPAP0XENuAN4JaG8ncC7y8/HwfcEREPl+f53dpx5wP3zEL9JWliOO2hJKlRRNwLfCgzX+rx/TnAdZl59dzWTJLGiwm5JKlRRLwbeDUzH+7x/UXAE5n5zJxWTJLGjAm5JEmS1CHHkEuSJEkdMiGXJEmSOmRCLkmSJHXIhFySJEnqkAm5JEmS1CETckmSJKlD/w9+Ur/qhMjX6QAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 8))\n", "plt.plot(tint, axf1-axf, label='ax', color='b')\n", "plt.plot(tint, ayf1-ayf, label='ay', color='r')\n", "plt.xlim(xlim[:])\n", "plt.xlabel('idő (s)')\n", "plt.ylabel('m/s^2')\n", "plt.title('kerék gyorsulás, IIR és FIR szűrés eltérései')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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QICLIBUEQBEEQBCFARJALgiAIgiAIQoCIIBcEQRAEQRCEABFBLgiCIAiCIAgBIoJcEARBEARBEAJEBLkgCIIgCIIgBIgIckEQBEEQBEEIEBHkgiAIgiAIghAgIsgFQRAEQRAEIUBEkAuCIAiCIAhCgIggFwRBEARBEIQAEUEuCIIgCIIgCAEiglwQBEEQBEEQAkQEuSAIgiAIgiAEiAhyQRAEQRAEQQgQEeRlxuHDwA03ADMzQbdEEARBEARBSIfKoBsg+MtFFwGPPQYcdRTw9rcH3RpBEARBEARhLsQhLzN27+bHxx8PtBmCIAiCIAhCmoggLyOmp4HeXv7fCHNBEARBEAShuBFBXkYMDACTk/y/CHJBEARBEITSQAR5GdHfb/9/4EBw7RAEQRAEQRDSRwR5GTEwwI9LlwKDg8G2RRAEQRAEQUgPEeRlhHHIV65kca5UsO0RBEEQBEEQ5kYEeRlhHPJVqzhLHo0G2x5BEARBEARhbkSQlxFOhxywBbogCIIgCIJQvIggLyMGBoBQCDjiCH4uOXJBEARBEIREHn4YuPxyYP/+oFvCyEidZUR/P9DWxn+AOOSCIAiCIAhe4nHg4ouBgweBsTHgjjuCbpE45GXFwIAIckEQBEEQhNl4/HEW4ytXAnfdBYyOBt0iEeRlxfAw0NwsglwQBEEQBCEVDzwAVFYC37p2FDdOXoHd1/8q6CaJIC8nIhGgoUEEuSAIgiCUC7t3Aw8+GHQryouHHwZOOQU465Vv4wr8BEd/5QOBiyYR5GVENAqEw0BdHXfuLIZbMIIgCIIgZMfEBHDqqcA73wms//ZjwNNPB92kkmdmBti0CTjpJKDu3l8jRrUgpYB77035mZERoLc3v+0SQV5GGEFOxE65CHJBEARBKF2eeYazzk0Yxol/fwbwpjcBfX1BN6uk2bmTO3KesHIE2LQJvz/qCzgY6gLuvjvp+/v6gNWrgWXLgBdfzF+7RJCXESayAgCNjfxcEARBEITS5Nln+fGqY5+yJ953XzCNKRM2beLHE+v/AiiFyWNPwAPTb8PME08mff/NN/NFUTwOXHdd/tolgryMMA45wMJcBLkgCIIglC7PPMPO7LsXvmBPXL8+sPaUA5s38+Pyya0AgOZTjsRzOAkVPfuBAwcS3n/PPcDxxwOf/CRfC01O5qddIsjLBKUSBblEVgRBEAShdNmwAXjjG4FVtB370Y3BVScDL78cdLNKmu3bgcWLgZrdW4HKSiw+Yzmew0n84nPPud47MgI8+SRwzjnAWWexrnrqqcR5+oEI8jJhYgKYnrYFuURWBEEQBKF0mZkBXnsNWL4caB/ZiZ1Yjp7wSmDXrqCbVtJs3871x7FlC7BiBVYdVYWN9AZMUyhBkG/cyNrqgup78e7/fBs+Q9/Fn/+cn3aJIC8TjPg2GXJxyAVBEAShdDl4kM22ZcuAyp69OFy7BDvVcmDPnvzlJl4HWIJ8xw5g1SrU1ABdK+qxt2mdHdrXbNgALMVunHjdRah84Vl8R30WdXf+Ii/tEkFeJkSj/CgOuSAIgiCUPq+9xo9LlwI4eBBT7fOxKbqCLds9ewJtW6kyMgIcOqQF+f79nF0BsHYtsL7iFHbIlbLev2ED8NXar/C0zZuxc/6p+MjmL2B62H+BFaggJ6KbiegQESUNRBHzXSLaTkSbiOiEQrexVPAKcunUKQiCIAilixHkyzqjQDSKUPc8PHN4OU/cuTO4hpUwO3bw4+rF40B/P7BwIQBgzRrgwdGTgcFBttA1258fxkUTt4IuvxxYtgyvXvWf6FIHcPiL/7/vbQvaIf8pgHfN8vrZAFbpv08A+GEB2lSSGPHtdMglsiIIgiAIpYnlkNcdAgDUL5uPF4ZFkOeC0dpHNu7nfxYt4udHAk9MnczTdGxlchJY+/IvUTszDlxxBQBgzeVvwp24EG0/uZ4zRT4SqCBXSj0KYLaxSt8D4GeKeRpACxF1FaZ1pYVxyJ0Z8miUO4UIgiAIglBaHDzIJltDlIVf86p5OIAuqFClRFayxAjypZVakDsc8s1Yh6naMNeaBPf5vGz6pxjuXsvDeoLjQ//V+TWEJsaBa6/1tW1BO+RzsRDAXsfzfXpaAkT0CSJaT0TrDx8+XJDGFRPJIivO6YIgCIIglA59fUB7Ozj0DKBj3XzMIISxtkW2fS5kxPbtQFcXUNe/jyc4HPIZhHBg0UnAo48CAHb84VW8BU9g/OLLeQh08MP8M9bgJ42fBX78Y+Cyy3xrW7ELckoyTSWZBqXUj5VSJyqlTuzs7Mxzs4qPZJ06AcmRC4IgCEIp0t+vBbmORnS/YT5Pb1gqDnmWWBVW9mlBrh3yjg6grQ14tv0crnW4dy/Cv/ofTKMCHZ91i+43vxn41Mh1iF72SeDXv/atbcUuyPcBWOx4vghAT0BtKWqMIK+v50fjkEuOXBAEQRBKD0uQa4e84YhOzJsH7A8tEYc8SyxBvn8/0NRku5dgl/y36nx+ctNNOPnFG/FU89moXNLtmsdppwFTqMIfLrgRGBvzrW3FLsjvBvARXW3lVADDSqnEcU0FxOP8WFfHj8Ypl8iKIAiCIJQeliAfHOSTe20tVqwAtk8uZUE5NRV0E0uKaBTo6XE45DquYlizBrh/zxrgHe8AvvIVNE4O4OF3/HvCfN7wBqC2FnjiCVt7+UHQZQ9vBfAUgDVEtI+IriSiq4joKv2WewHsBLAdwE0A/jagphY9sRg/1tTwowhyQRBKhZ4e4C9/CboVglBcWIJ8eBhobgYArFgBvDy6lGuR90hgIBNMycMVK8AXNAvdXRKPPBLo7QWGvvszjF72KVyCW9H+zsRq29XVwMknA3/8I3Drrf61L+gqK5copbqUUlVKqUVKqf+rlLpRKXWjfl0ppT6tlFqhlDpGKbU+yPYWM0aQ19byowhyQRBKhQsuANatA/Y8upvLi+3dO+dnBKGcmZ5mY9wS5C0tAFhMbhhYwm+S2EpGbNvGj2vWIKlD/sY38uOz+7rx5/f9AHfgg3jDG5LP64or2ET42Mf8a1+xR1aENDG3TcQhFwShlBgc5MHxAKD/Kz8AfvIT4Lrrgm2UUPo8/TRwxhnAV7/qGnmxVBga4mZ3dCDBId+Npfwm6diZEUaQr1w2xVa4R5CfdBJXUXn6aeDxx9kJP/bY5PP60IeAN73J7q/nB5X+zUoIklgMqKoCKvQllghyQRBKAcegeAj/hQfkMHWABSErBgeBiy7iSMdjjwHHHw+ce27QrcqIvj5+TBZZ2WtqXYhDnhHbtnFKpSHSy4O0eCIrTU18p+6xx1ivn366XSjDS1UVZ8gnJ20jNFfEIS8TYjE7rgLYgtzHDsCCIAi+Y3Kd9fVAc/8ufrJtW0m6mkKR8O1vAwcOsNW5eDFwww1Btyhj+vv5sb0dbJc7BPk46jHW0CmCPEO2bQNWrYJd8tDjkAPAeecBDzwAvPwycPbZs8+PiF10vxBBXibE48kFuTjkgiAUM0aQ/9WZk+iM72XhMToKvA4HeBN8IB4HbryRldUppwDvex/w0EN2R6sSwSXIHQ75vHl8fu+rl1rkmbJtG7B6NbhDJ5DgkAPApz7Fcf2uLuDyywvaPBHk5UIs5r5tIoJcEIRSYMcOPvmtW9CPCiguXwDYLpYgZMKvf80Xc3/3d/z87W9nkf7UU8G2K0NSCXIidsn3VUgt8kwYGOBtuno1EgYFcrJkCbBzJ3fYbG8vbBtFkJcJ3shKKMQCXQS5IAjFzJ49wNKlwJKGAQDA1Oqj+AU9OqFQQA4eBL71LVYkJUhPD7Dn27/C1PxuriUNcBAY4F56JYQlyJsmgfFxq8oKwIJ828RSFuQm2vXb3wKXXALs2hVAa4ufV1/lx9WrwQed2lrdYzaR1lbX5i4YIsjLBG9kBWCXXAS5IAjFTF8f34bvrmEFMrxIC/Le3gBb9TrlkkuAL3wBOOccrrtXQjzwAHDMynG0P/cH3Nx/AR5/Usub5mZg+XIOBZcQ/f1AZSXQpIZ5gnbIARbkL4ys5E5ie/fyj+jSS4HbbuPvT0jAVFixBPmSJXy7oYgQQV4meCMrgAhyQRCKn74+NqoWVLEgP9Re/oJ8fBz4zGeAhx8OuiUOtm7lrPXJJ/P/f/5z0C1Kmx07uKjKpfPuRxhjeLzjAvzN33AFDADA0UeXpCBvawNoJLkgf3rqRH7y/PPAz37GJ/u3vQ24556Sy8sXglde4QucI46AfVuuyBBBXiZ4IysAVy0QQS4IQrGilC3I24kjKz2hxUBjY1lHVm6+Gfje91hEFk0xmYce4sebb2Z35957g21PmkxNsTlcUQF89eS7gOZmvPe/3oqtW4E//EG/6Zhj2CL1c5zzPNPf76hBDiQI8k04FjOhSi7if9NNXBT76qtZDLz0UjCNLmI2bgTWrtVVUYxDXmSIIC8T4nHtkCsF3HILsHev2yE/dIiPXIIgCEVCJMLHro4OoGWaHfL9423AggVl7ZDfdx8/Dgy467AHgVLA//4vsOVnz0J1dgJHHQWceaZDzRY33/oWl63/0fen0Pjnu4HzzsN5F1ajs5ONYwC8TlNTdkmfEqCvz1HyEEgQ5HHUon/x8cDXvw5s2QJ88pPACXqY9xdeKHyDi5yNG4HjjgMfcHp7RZAL+cNyyO+7D7jsMuCcc2xB/vDDXG/zvPOKyI4RBOH1jhn8pKMDaJzsxwSqsH+4AZg/v6wd8k2bOEUBBK+dvvhFdpinn3oGW5pO4VztW97CIm90NNjGzcFDDwH/+q/A+98PfKD7cbaVL7gAVVXAe94D3H+/jsKvWMEfKKHOqv39jgorgEuQL1nC8YtnVn2YJ8ybB3zgAxzDaG0NfqcqMvr7udLhsceCM/eACHIhf1iC/LHHeMLLL2NBVT8L8q99jcN0f/yj/FAFQSgajCDv7ASqRgbQj3YMjxALjDIV5KYf3vnn8/MgHfJnngG++U3gU1dOYC1twW9fO541+HHH8RuKMPqgFPtOl14KnHUWsHIl8KMfAbjrLr5N/K53AeA49fAwO6NYvpw/XMqC3FH2o7KStfctLZ8G7riDK8jU1fHF1LHHllxePt9s2sSPxx0Hu3a7CHIhX1iRFccP8U2RP6FyuJ8753z84/xjLZHbkIIglD9Ohxz9/RgOtfEd+rY2Hv68DDEC/Ljj+EbA7t3BteWrX+Vrn29++jVUqBn8ZWoVHnwQPNQ8AGzYEFzjUvClL3ERmD/9CbjyStairS0K+M1vgL/6K6ChAQDw1rfy+x99FLyDNTSUTGRFqdkdcoBN/+27Qnx7YNUq9wsldOFRCDZu5EeXIJdOnUK+sBzy/fvZIWhvx8l99+HN/b/le3af/CT/UF98MeimCoIgALAFeXs7gJERRKtaWH+0tpatIHeWX1u2LDhBfugQ99u8/HKgoZevEl4LreDxcxYtYke2yJzWl14CvvEN4IoruOb4D3/I127YsIGF1nvfa7134ULuirBhA9iMWr68ZIRqNApMTHgEeVOT6z0rVqS4vli+nDPSUtHB4plngMWL+QIYO3dyD+BFi4JuVgIiyMsES5D39PCed9ZZOLbnDzhn5Hau83PCCXx5aO7dCIIgBIzR3K2tACIRTFQ32A55PM71AcsMI6JWrGCTLqjBFn//e/ZqPvQhu1Hh41biiSfAAnblyqJzlH/8Y74T/M1vAlVVjhd+8xsWWe9+t+v9xx7rOOUdcUTJDJqTMEpnOMw5FQcrVvDvJ+G61eTlS2RdC8GTTwKnnaafvPIK7wveOtFFgAjyMiEeB+qqptj26OoCzjsPjbHDeNvkn7izh8mWbd8uV86CIBQFIyP82NwMIBLBVE2D7ZADXIakzOjpYbOzsZEd8tdeA2ZmCt+ORx5hwXfMMeDzQjiMlafNw4YNuu9/EUYf7rmH4yoJQ5r/+tfcEbWz0zX5uOOAzZt1gbGFC/kOcgngEuRDQwlxFcDW3QnXTCYvX2QXU0Gxbx/fPHEJ8qOOCrRNqRBBXibEYkAzjfCRtL0duPBCHFhwPPajGzNXf4bfdPTR/PqWLYVv4L33sh0kkRlBEDTDw9wXraoKQCSC6TqHQw6UZWzlwAH2TAC+mTkxARw+XPh2PPoocMYZbCxj715gyRKsXkOIRnV/2uXLOU+9qPFUAAAgAElEQVRTJOVye3q4Oaef7nnhlVdYdb/vfQmfOeYY3r7bt4MjCkNDJWFIGUFu1SGfRZCbIeEtjjiCH4PsnFBEPPUUP552Gnhf3raNC5IXISLIy4CZGS6i0gRtNzU1ATU1uOWa9ViOnRhr6ebpy5bxo+nUUEiuv56XaxWGFQTh9Y5La0QimAm/Phzybn1Inj+fHw8dKmwbhoY40XDyyXpCby/Q1YWVK/np9u1gxTc1xRZjEfDkk/z45jd7XrjzTn688MKEz5j12bED7JADJeGSu/pWpBDkRx7JF7PPPut5oaODR78pgfUsBA8/zImf444Di/HJSXHIhfxhBh9rVA5BDqC+MYQJ1NiGgCnzE0RocfNmfpSyi4IgaLyCHOHXl0M+bx4/FtohN4fjY45xN8oU63j1VdhOa5FkkTduBEIhuwCMxS9/ySrdCG4HrliH6cRXAkI1IUPuKHloqKoCTjrJvlCxIOJ1LZILqaD54x+5BGZVFeyNdeqpgbYpFSLIy4BYjB+9gjwc5qeWIG9vB+rrC++QRyK2BfTKK4VdtiAIRcvwsD5cTU0BsRgqmhowNgZMNpSnQ64Ua1/jkJvIc6EdclM8Zd06R6MWLMDSpdx38NVXUXQCdutWvkaornZMfOEF7rX5/vcn/Uxnp6PaYQk55EaQt7UhpUMO8HXICy8k6fu8eLEIcvD3vmMH8Nd/rSc8/jjfQVi9OtB2pUIEeRlgBHnDjLOHVBJBTlTwbv379gHvXLmbnxxzDFtBpsGCILyusbSGPkhVNHEN6ZGQFuRl5pAPD7N48jrkhRbkmzezUF2yBNyzNhYDurpQWcm6dd8+2FcNRSJgt24F1qzxTPzmN/mK7vLLk36GyFEe0AjyEhCq/f38u6isxKyC/LTT+Fr2uec8L4hDDoDdcYAHkML0NA/desYZvGMUISLIywATWamfdNcrNYJ8bMzx5iVLCirI774bUGbEPXOvsUxH4BOEcmNiIr/zt7RGJAIAqGxhQT4008S9DctMkBvhbbLjbW28moUW5Dt3cr66ogLsjgPWVUJXl57U0MDnkiIQ5DMz7Nq7BPmOHRxXueqqlIIVYFd9927w+jQ3F8X6zIU1KBAwpyAPhWzhabFoEa9nEOV7CswTT7C0+MpXEl+7804eM2nVKgAPPsgdOC65pOBtTBcR5GWAMZzrp+eIrADsEvT2FqxtGzYA7eD7b/FVR/PEAi5fEITs2LqVBePXvpa/ZaQS5JGxCs7N5jGyEomwaVZIXNlgABVDA7i1+qP48M1ncsd3l3uSP/bscYwcbgT5ggUA2Bjv6dGvLVzoeBIc+/fznQXngJS4/nq2kK+5ZtbPulahREofWoI8Htcl1JIL8rY24MwzWXgq5Xhh0aLgyvcUmM98hvsXXHstD0puOHiQO3R+8IMAQQFf/zrfkjrvvMDaOhciyMsAS5BPpiHI581jO8b1680fu3YBHeAu4wfa1vFEccgFoei59VY+dnzrW/lbhleQV7VqQR4Bq408OeQvv8xO8LvepQ+Fu3YBf/lLXpblxCvI8fnP48LYLaiODgKf/zzX9DO3PPOIrnLIJHHIi03AmvSFNdr5wYPAT34CfOQjdv4nBQsX8m40Po6SiXJYgtyM0jnLHYD3v58vnp95xjHR5P9LYF1zobeXM/T/9m98J+Tv/96+KXDHHfz/Bz8Ijqo8/DDwz/+sR1AsTkSQlwHm+F0zMcL3IOvrAaQQ5J2dXPbH/NDzzM6dwKpWPgttr9alhsQhF4Six4xwODSUH108NcXHpmSCPBoFlz7Mk0N+ww28yAceAJ7/zR7u33LMMcBDD+VleQZXZ73xceC223Bf95X48DEbgdtuY3Xx05/mtQ0jI/ydLl6sJ5jjsRa23d38+vi4flJEgtwa7fzmm/nE9w//MOdnXVH4rq6SOP/09XkEeZIqK4ZLL2UP7rvfdUx8nQjyBx/kx/POA/7jP9gpv/12FuLf+x5XoTn6aHCeZfFi4BOfCLS9cyGCvAwwDnltfIR/mbrDQkqHHChIaHF6mm+NHjWvD0Noxt4Z3ammBA6IgvB6Z8sWzqcCXL7Xb7QGR2Oj/aS6rTAO+YMP2oPiDP/gFj5IKpU8iOojLof8ueeAsTG8vPQ8Xs0PfIAvCn7xi7y2Ye9efnQ55DU1lgtrBOyBA2B7+cCBwLPIps2WIL/jDuBNb0rSyzMR05ezpwccy+ntLdgd4mzp73cMCgTM6pA3NABXXslxeuva6XUiyJ9+mo8fxx8PXHwxcNLR4/jGPw7gi1/kPgdf+AK4ssrjj/PFW01N0E2eFRHkZYAR5DVGkGu0UZ5ckBcgW7ZvH7tgSxv60I92HBys5jORCHJBKHp6ezmfCuiBYgA+mPh07EgmyGs7HIK8pYWtWp8ZG+P1eec7gRNOABpeeJRttH/7N3bI8zjCYX8/X+Q0NwNYvx4AcOiIU1iQEwHnnssqI4+jSRpxaznkBw+yUNVGjkmA9PSA1ezUVOBZ5H37+HzW0qKfbNgAXHRRWp91VTtcsIDvEBdxZ+GJCWB0NP3ICgBcfTUbYD/8oZ4wbx4X3i5zQW4q71RUABUTMTwceSOe2duFZ771CC64QO8i113HVzd/8zdBN3dORJCXASayUjU+os9uTMrIClAQh9wc+DvQj4GKDj6md3YGfnAXBGF24nHWLCecwM+tTPHpp7O16oNQNoK8oQHWQaqurc5+rbk5L4LcDDW+Zg275EsHX8TMG0/SYVMAf/iD78s09Pez8U8ErhLS0oLK7nm2Pjz5ZBbAecyzexIqnpIe9imirw9FU/pw3z6+gCCCPTTl6aen9dmEyApg5+aLEJPSykSQL18OvOc9wI03aj1QUeGoX1m+bNvmKCl+992o3/0KajCB3y36FG7/xSTopU3A738PfPaztkNZxIggLwOMQ145EdVnN6amhn+XQUVWjO6uH+tDpLqdn7e0FCy/LghCdpjDw8qVfB47cABcLvXFF/mAc//9OS/DJcj1Qay+nQV5NIq8HStM/Gb1auCE1REswEH0tenaaF1dwGOP+b5Mg0v77twJLF+O1lZe/VgMeqQe2ENp5gHz3ZpTAQYG7JFRoaMS0ILcCNiA72ru3+8YiPO559j9Pe64tD7b1MTmlBVZAQJfn9lIGKUTmFOQAxyP7u93lEAskQ6s2TI+zpFYK7X0pz9xv5O77kLTvldQ/aPvAf/yL2xSfvrTgbY1XUSQlwG2IB8H6uqs6UR8IErqkBfApTYH/uroAKK17RgZQd5cL0EQ/MMUQlqwwFGXeuNG+w0+OLjJBHmCQx6P+151ZOtWfly1CnhD624AwE51BB8wzzgDePRRX5fnJJUgB3SKYsUKdlLyLMjr6uw7qBgYcDnkLkFewIjjbPT12e3C889z1j7NPDCRo29qqQlyc65MQ5C/8518XfXLX+oJZS7Id+zgrgCWQ/7ss8CppwLnnw+cfTbwuc/xQCj/9E+wfmRFjgjyMsCcr0IT4wklfRIEeXU1O08FdMhDY6OYqG3C6CjEIReEEsAI8vnzHYLciPDWVjv3kQPJBHlFfS3CYYcgB3w/XuzaxesUDgMrQrsBAC+NLOMXTzqJRYxRRT5jIiuYnuasuleQh0LAkUfmNbJy6BB/r9ZghR6HvL6eBXtfHwpq4MyG65ph2zZg7dqMPm9Vbyw1QT7sHuxvNqqqeETKBx7QfVaNIC/yDqzZ4uqcPDPD+8W6dbxj//d/AxdeyFGVz30u0HZmggjyMsA45BUehxxIIsgBPsgWSJA3NwM0OorpugZxyAWhRDB6xeWQ793Lwu2oo3zJFLsE+fg4n0irquxjlhHkPh8venrsXHFNzy4AwPr+I3jC0Xrwsjw51JZD3tvLvfeWLXMLcoBd8jx2LD10yBFXmZlJEOQAu9F9feAvp7a28EOJOjBNbG8Hb7O9e3kbZcD8+XoVmpr4HFnEGfIEh7ypyS53NAdvfSvvWtu3gwV5LJa3i8ugMYegRYvAFx7xuD1yVHc3j5b0X//FVyolggjyMsAW5LH0BLkZHCjPHDoEdHVMAvE4ZuobxCEXhBLBOOTz5nkE+aJFfEHf15fzMhIc8tpagAgNDfl1yHt7HR0ad+9GrKIOG3q0QjWC/OWXfV2mwRLk5vi7YIGlhS1BnufBeA4edAjykRFWvKkEOVHgHfFdTXztNX6yfHlG87BWgcgufVikmJ+WJchnqUHu5Ywz+PGxx2CX0TFWcpmxfz9/nV1dsO/YrVwZaJtyRQR5GWAiKxRL0yEvkCA/fBhY0sZnXdXQyILc5ELNVYQgCEXH0BDr47o61i+jo8DMnn22IPdBoCUV5Pq5VfYQ8F2QHzjgEOQHD2I0vAA7d+n8Rnc3LzcPgnx8nFfTJcg7OxMd8kWLeJ1HR31vA+BxyF0lPWwsQQ4U7HyRCpdjvGMHP8nQIe/s5H16chJFL8j7+/mnUF8P3ikyyD+vWcOf27QJdqH5PXvy0s6g2bfPru5oCXLjkJcoIsjLgFiMq6lgPI0MOcBWQ55GwHNy6BCwuJXPutSoIyt5OskKguAf1pD2sM1TtU8LcqPWcsymGkEeDoMPYtpMyGeGfGpK37kzgvzwYUy2dKKvj51YELHY27nTt2UaXKN0mguaVIIcyItLrhQv2kTDrfNAKodctzFIh9zVRPO9HHFERvMw69vfj6IX5OaCiQgZO+QVFdzf1SXIy9ghtyrv7NrF/eOsCaWJCPIyIB7Xd3vH03TIW1sLMjBCXx/Q1agFeXMjIhFgpjE/t6EFQfCP4WG7H1lrK1CDGEL9h22HfHo652x3JMLn0OpqJDjk+cqQHzrEotQpyEmrtV279LRly/KS4Tar0doKW+DOm2fpLVdkBchLhYyxMXaJLf3tukqwaWtzRI+LySE/cIBVp+mcmSauvqldXUUtyF0XTBkKcgA49lgW5KqjkyvRlKlD7hLkpmNIRWlL2tJuvQCAz2U11crlMhlSOuSxGDvqeWRoCOis5duulc1cHz1W22K/KAhCUTIy4nbIu6FHBlq40LfKG5GIY9gEx929fGbITV8+S5D39aGqm+vpWab4smWcVfa5OoWrpPThw0BlJdDSglCIL36sm5Z5HPbcHHYtjZcistLSYme3i8oh7+3lC4Q0OzkaXLvsggWs8icmfG2nX7gEeYaRFYAd8v5+4NBh4hx5mTrkploQAE8OrXQRQV4GxGJAU+0En0DSiawk3CP1n3icz7Ft1eyQV7XymTdaKQ65IBQ7zshKayswD3YnRHeh6uxxCfJkGfKmJr5v7+OxwmFMW/mNhmWsflyCPBbz3RVOEOQdHVbtQddNSyMsTM9aHzHLSBDkHoe8pYXFeCQC3lhjY0lOJIXB5ZD39mbsjgP2LmsJciAv29cPXBn/LBxyE6/fsQMsyMvQIVfKU9PfWTqphBFBXgbE40BztXa7042sAHkV5GbWbVXskFe1NQIARitEkAtCseOMrLS1OQR5Z2d+HHKHILeOWRUVPMqej8cKl/6MRoFYDLWLO9HS4omsAL7HVhIEuWWDegS5KQSeB1faFZsB7A3icWFbnDcyA65FbgR5ayuyFuQJDjlQtLEVa9eYmuKOvbkI8iVLylKQRyIcvbIE+YEDIsiF4iAWm12Qj4157r4WQJBbt0Yr2SGv7eAz7+iMHh4uILdFEIS5cUZWWluBTtidEK2zYI71jRMEuT52WQ454Pu4BeaQ58pxd3Zi8WJHQiRP5eJcgy66hp5M0q0nTzGRhMhKfz9f9HhqNScV5AHlyAcGuD2hELIW5O3tfDOirw/2HYgiFOTRKN9Z7uyEfQWXYWRl2TJeV8sh7+lhcV9GuJJWY2O8o0pkRSgGYjGgsUqXEUwSWZme9sTlzO3JPFZaMSeXJmKHvLaTHfKhKX0GFkEuCEWLM7LS1ATMI4cgNy+MjOS0jGg0dWRlfJyPW2hu9tUhdwlyE7np6LCHVgfyFmkwq9HSgoRscMLwDD7VeveSNLLiyY87X3cJ8oAGmLGiCUrxd5KFIA+F+LTncsiLcHAgc80zbx6SXD2lR00Nd0PYuRPskM/MsCgvIxI6+gLikAvFQTwONFWldsgBj/4tYGSlkdjqquvkM+/wlG6QZYFlz6uv5nWEaUF4XTIzw3fKTWSlogJYXH0I8cp6PqCYF3IUyrN16gT0McvngcQGBngVqqrgyq8sXOjQLB0dvNI+O6jDw9yPs64O7ise8Gq6bgR0dBQusuLJj5v2WO83rwckyK0mDg5yTsHqyZcZ1k0HE9AuQofccdPGc/WYGcuX6whWmQ4O5BLkrquY0kYEeRkQiwGNlcUlyM2BPzzDDnlNGzckMl3H99N8cMjf/nZg3Top2CIIfjI6ymakQy+iu/owRmq0UxoK8YHFB0Fujk/eDDngKH3oc2TF0jcOy7q7m/XZ1BR4/To78+KQNzfrfpxzCfI8RVbMId9adDqC3DjoBRi7IhmWQ+5SYZljbdLqap5HEQvyXBxygB3y/ftRtoMDuap1mjtJjj4ZpYoI8jIgFgMaKnVkJR1Bbo7GBXDI61UUqK9HXZh3tfF4BXdaylGQ9/bamc/nnstpVi5efhl4/HH/5icIpYZJohgjHADm02EMhBwOVHNzzpGV2aqsmNfzEVmx9Kcj1L1wId8ZsGLSeRg8xtLg09O8ch5BHok4or6ukXn8Y2iIt68VGXeVqrBxCXJzFRG0Q+7K/GSOa5MWaS1yxwCuOQnyhQtZkKtF2iEvU0He3g5X9KzUEUFeBsTjQENIO+SeDHl9PT+69G8oxD/yAmTIa2Z4sCJznTA+DsdQfNljRlAG/B3l+phjgNNPz3uJdkHwhelp4NZb/S1ZnUyQd+Aw+sjhQDU1+RtZcXTqdB2z8iDIUznkgCdHni9BbjawR5A7m4TOTt5AsZivbUioopfCIXeNyRQK8UYL2iF3lanJnLY2hwe1YEFRZsj9iqwsWsT9xvrijfyFl2lkpa0NOd85KSZEkJcBsRgQDmUQWQHyPlrn0BCfWEMTnA11CXJrKL7ssUqUAejdNQ585zs53+J1bo6XXsppVkKRsHlz2Z2LXNxxB/ChDwGXX+7fPM1P0xLLANomD+HgjEOQ5+iQz8yk7tRpjlljY7Az5D4N0jMw4BHkOn5jRvyzBPn8+b5HVoaGtJZMIixdjjTgW613L4ODDkGuVMqBZ6qq+Huw2uMaurNwTE1xG9rbkZNjDHiuKfJwweUHvb183gyHkXNkBdAX6mVYi3xggD2Bqirwb6S62n3AKlFEkJcBsRjQUFFcgtw6zmvnK8Ehz1GQG0dw8WJg3cPfB665Brj++pzm6RT5eRg5Wygw0Shw9NHAaacF3RKbl14CLr6Yc9p+cO+9/Pjoo7qS0osv5iyczE/TyncrhaaJw9g/6Yis5OiQj4+zHgyHef7OTp0JGfKpKa3Oc8elP4eGrMGHjENudew0gtzH0TqHh7W2msUhtwSwaaTPHWSGhhzrPzbGt1hSOM6uXHt7eyAOuVm+K7KSg0M+Pq5vOhhB7vNorLmybx+LaSLw9q6sdPwQ08clyJcsKTtXwpW0MiVE9SBbpYwI8jIgHgfqK1KXPQRSCPI8R1ZaWsBHwLo6VFby1axfkZXDh9lJWLkSWLL/KZ74yCM5zdMpwptvvRG46io9drRQimzcyI/79hXP1/ixjwG33w788pfgEkHvfW9Oosus4+QksPu2p4ETTgCuuCKnNiYI8kgEVdNx7I132tsxR4fc6OuGBnDjHaMMm8jK2Bhs8eVTbCUhsqKVsBmN3XLI29vt4YZ9woqspOOQJ0zwB5dD7iqMnoirwE1ADrkrjTBHe+fCJHMGB8GCPBbLuR+E3+zbZxdGweHDvGNmITRdEawydMj7+x1JK09N/1JGBHkZEIsBtRW60HhNjeu1ICMrra2wBDnAD35FVsxoZm1tQHd0G0/cujUnx8OZeDnrrk8BP/oRO45CSfLaa/b/AcVfEzA/ufXrAXz608BddwG33JLVvJTi0p9nncXPZ351J/9z990scrMkQZDrH8Yh1WlfR+fokBtBXl8POyedyiEHfBHk8Tgv19WpU88/FGJT3HLI81DqLx1Bbq1mngS5K0M+RyfJBIc8AEHuGll1eJjFqbNzQwaYC7GBAdiDyBRZjnzvXtvdxqFDWVcOcY1MumQJr3QZjf2R1CEvAwIV5ET0LiLaSkTbieiLSV6/nIgOE9EG/fc3QbSz2InFgFqK85PqatdrKQW5D1USZsNyohy3oi1B7kNkxSnIOye0rTU0lNNJw4ilhR1xe6IUOi9ZnKZQMYyLMTlpx6K2bYO9w23alNX8Bgf5t/+Wt/Dz6i2Ojg9bt2bdzgRBrn9TfeiwDxk+OeTJBLmrU2eCUs2ehD5yntKD8+Y5Its+D55marsH7ZC7IitzREBcgrytLZCr2gSHvLGRa8RngesrNYMDFVGOfGqKrw9cgjzL2trV1fw9HzqEsqxFniDIy6BDJxCgICeiEIDvAzgbwFEALiGio5K89Xal1PH6778L2sgSQCl2fiyHPF1B3tjoX5A1CZYTk8wh9yGyYn6Q8xrG0KoGoU44gV/IwfEYGGBNcNw8xzxefTWndgrB4ewPVwyCvK/PvoGze5cCtm/nJzt3ZjU/E69YvZp/C80HtvATwJ53FiQIci3EBtBm6+KmJv4NT09ntYykglwfJ1ydOl3lPnIjqSB3uMOusXh8FuSu2u7pCPI8jBWhFF9DWQZzGpEVlyAfHi74EOwJDnmWHTqtecARWQGKSpAfPMg/J0uQm8hKlsybpwW5qUVeRoLcNcBsf7845D5wMoDtSqmdSqkJALcBeE+A7SlJTPyyhpIL8vp6vsuXoH8bG3linsK1lvnkKGfmZ2RlZITnv6iKKyFMrTuOX8jhAGsqgK2sd6g3qzCxUGo4Ddw8jLGSMeYCoasLGO+L2r+BLHsQm4uMhQuBrvkzaIr22D1YrTB05qQtyIGsL+rNMurrYee0kznkPkZWEgS5I7ICeMbiMWd7n2IaLg1uDsaNjdbrDQ1s/FoC2McLEYPpSGsVo5gjsuIak8lsjzzGHJOR4JBnmR8HPJGVIhTk5jBg9HMukRXAIcgXl1ct8ulpR+Wd6Wn+QkWQ58xCAM5Ltn16mpeLiGgTEf2KiBYneR0AQESfIKL1RLT+cDGcfQuEMZcsQe7JkFdUpIh7mpNBHnJlxolpbkbeHHLj9MyvYrEQXbqOX8jhAGtiNkuqHQ55HgbnEArDyIjtihXDaK5mV1q7FgiNaOsvHM76asFo7u5uYGX7IKrUJHDssVyZIUdBTuToH55MkKe89ZYes0VWamr4uOV3p84EQ3h01CWKOzvzF1lxVbAzK+/ogF9R4RHACXUHc8cccq0LrTkiK01NtrOfj0x9OgwMcL7furPgg0M+MAA+0FdXF5UgNymz1avBJ8pIxB+HfOFC/kGXiUM+OMj7ZFsb+PcxMyOC3AeSdR329sj7HYBlSqljATwA4H9SzUwp9WOl1IlKqRM7y2AI1XSJm+g4TfBRPRRKeE/CsMyAfSLKQ2zFVU0rlSCPRnPqgGkEeTtpsdCduyA3DnmHnidWrCgOa1XIipER2xwqNkHeDi1sjjyShUY8nvqDKXAJ8ga933d18V+OgjwcdhR30KJ0EK32XQdjs+ZBkBM5upn4mKU2hzorsuEamYgF+ciI/ip8FuQu7Ts2xgdDTxY64Tid9MCdPQn15ecQ5I2NfAc2HoftkBc4R97fz9qZCDk75E1NfHocHATPsMgGB9q6la/Dli2DZ4Sg7LAEeXU1r2uZCPJyHaUTCFaQ7wPgdLwXAXAlPZVS/Uopc6a6CcAbC9S2ksGcy6rVREJcxVBoQW6O801NSOjUOTYGPiMolfUodNPTfHJpagLawCeIvrolfBb3wSFvhb4tu3q1CPISZniYD9oNDcUlyI880t5vsXYtP2axnx04wLqxpgZYVqv3+wUL7HGzs8QIcouBAcw0NGIKVQVxyM30sTG9nFDIF4fcHOoaG8FF2ycnEwQ5oL+n+npuTz4iK2Njdi7HQcJxurU1L4Lc+m6HhnjbJmkL4EklBeSQuzrveTrhZgqRZ4DqIhscaOtWLuNbWQn7QmH+/KznN28eb7+pKXAOpkwiK0kFuXTqzJnnAKwioiOIqBrAxQDudr6BiLocT88H8EoB21cSWIIc8ZSC3HUr1GCOtnmotOI6+STLkJszQpaxFafT1TytBflMW84HWOOQN6shTKAKavESEeQljIlNtbQUPPqalKSC3HTCzGI/c3ZsWqj7UsRachfkY2OJgtwIMksXGyGb5W94tk6dgMMhN2Xu/BbkCerUNtlcHTvz4ZA77ho6SeqQ+7jjJo2stLSkrHNtPJuREQTmkDt2vZwjK4DnKy0yQb5lC7BmjX5i3GwrUJ458+ax79XfD75VKA550ROYIFdKTQG4GsAfwUL7DqXUZiL6dyI6X7/tM0S0mYg2AvgMgMuDaW3xYkVWisghNxq/qVGlrkMOZO2uWfNvAhpm+MmhWJNvgrxpehBDaMFUayf/+rOsJCEEi4k1NTf7Nq5MTvT1cVu6ux2RlSOO4McsLoydg9x0gff7QxULeAE53IpP5pBTexsqKpAfh9zTqdNMtwbn9OkLnEuQuxxyH5cLpOeQJxgnhYiszOI4F5VDrlTODjngEeRdXUUjyPv72SE/+WQ9wbjZOQpywFFpZc+eohuZNBvM99feDnt/FEGeO0qpe5VSq5VSK5RSX9XTrlVK3a3//5JSap1S6jil1NuUUluCbG8xYsylyiIS5Fbn/foJPgCkcsh9EOS1UxHMgDAUr8vJ0Zqc5Oa0tADhqSEMoQWxxk5ufzHYq0LGGEEeDgOVA4eAVat4sKeAMONXdHY6HHIjyLMQfs6a0u2TvYihBgdjzbyQHErUJRXkbW1oakJihtxPh9whyF1DFfgkTEdHeRGVlUiiTj2DqQBwr3BuZBVZyZMgdznksyfo6v0AACAASURBVAhcl0Pe3MzxlqAc8miUjZEcHXLXeHgLFvCXXeBSjsl44gl+NGMKYO9e3jdzWF+XIF+8mE++xTJCWg6IQy4ULeZcVqUmEiqsGIJyyFtqEsuZ+RFZcQry6qkoImjAaIRyEuTO83PddASjaMRY2HuGFkoFZ83lcBhY1fsY1+b+9KcDa5Opzd/WxoJ8oqrePmtmIcidw6A3TfajH+3o6ydbpWcp5hIEubYpXYaxDw55RYX2EFJkyK1Z++iQW0VVEvIbSQS5j4OnjY6ynq2tRWAZ8oRVdg3bmYjLISe9XwXlkM9RMz1dEiIrShVFadv77uPT90kn6Ql79rCIThEnSocEQW7mW+L09/NvqakJLMhra1P2gyg1RJCXOCayUjUzu0M+MuIpOV6ITp3V7mxoPiIrobEIImjgk43L/sgMp3tUMxVFFGFEK5vdCxRKBmeln3AYWDKkR8OsqAjstm00yrt+KAQsqOxHtKbNFhg5RlZq40MYRCv/9nKsEBKNes5v2qZMKshzcMjNGAmpHPJ8RFYsQZ7EIW9t5d0jHw55JMLLJsKsgnx01GHYGoXu01gRmUZWXA454PsFwlxMTPB2a2/HnDXT0yVBkAOBx1aGh4Gf/xy4+GLHT2DPnpziKoCnT0QZDQ7U38/fIxHsUTpzuHApJkSQlzjmXBaaQ5Abx9CiEIK8SjvkWpDX1vrvkCMSwXiFFuRtbbw+k5MZz9MlyCejGEM9IhX56/gq5BfnPhIOAy1juoDT5GRgJVecVfbaK4cQrWrJus62Um6Ds2acY1ZDQ8hZkI+PO/SiUpYgd/Wt9KHsobWMJJ06XQ65T8I4qSB3OOShEG86lyD3KUM+OuoQwrN06gQcq2oO3D4dozONrCSM/eRzhGYuXKN0+uiQW9c4XbpmRMCC/Gc/4+/m6qv1BKWAbdu47G4OmP1pcBC2Q14mgtwqqmJygGWCCPISx8qQT88uyAHPsdQUGs6D2DSzDFe4BXlNDR8Ip2v0mdh05spy/kaQx0Jh2yEHsjppOE9WVRPskI8ifxctQn4x+0hjI3+nbXFHJ8eATsCRiC2GmiqiGKcw/yhqajIWftEoO6lml6+KDmMYzb4Jcksvjo7yrQbtkFuHC/MGPwV5Koc8H4I8SWQFsAWbn8tNWPYsDjngWL6PNdiBFJGVTBzygAS5nw55a6vdP9RyyAOsRT4zA9xwA3DKKcCJJ+qJ+/bxRj/mmJzmXVnJX+/AADiPVVER+MWHH4ggF4oWE1kJTacue5i0gzwRH3Hz5JA3NgKhCXeG3ETcJ0L6ZG6dcTPDKbYQiSBW5XDIgaxiK+Zk1dAAVE6MIYowhlRuw4MLweG8PR8OAx1TB+wd8ODBwNpkXNKGCr7oA5CV8PMOA08jQxip8Mchj8USR+lMiKxUVOQ04q5Lk5oLc0cfGFenTteQkdkzV2QF8GjO5mZePx+qLJnICoD0BbnPdzGjUR54proarARHR2cVuGbTBOWQm/OV3w45oHdrU+M7QJH62GNshru6trz0Ej8efXTO829t1esaCvH6FtFASNniLPfqVueljwjyEseKrEyldsjNcSdBh+RJkJv6z95b0aZ58QotyLN0yI2OD4cBRKOYqGpwO+RZCBGnQx6KcWRleNprEQmlwrjj5kx9PdAy3W+f4AIS5M7IShhjiCgtyLPISLuGYgdAQ0MYrymgIAc8qjkzEhzymhpXDtRV9tA1ZGT2pOOQuzSnyWxkedGRctnpCnKfx4pwddY1FzizCNyKCt5fg3LIXdU05hhVNF1cP43aWl6nAAX5L3/Jx6j3vtcx0Qjydetynn9bm6eqTJk45FZt+sOHcxrNtNgQQV7iGM1bMUtkJWXflTw65NYonYArsgI4HPIcBHllJbs9iEQwUeMR5Fk45E5BXjHO7uXglERWShVnCiIc5tFXZ5ZmX2LQRX8/Bz8zcGyVcgvyehXF6Ez2gtzlkOt78PE6Lchd4dHMSSXIE4z8hgZ/HHLXAplwmPX39DR8E6YZO+RmuT51KE03Q54vQe6MTKUrcM3NCauBQWXIfYysAI6fRsC1yH/3O+Csszy74RNP8JCdprE5kFB3vQwccssUn5riL1IiK0KxYEVWplKXPUx5Zy6PgtwakQ5IEOQxyl2QWyfzSATTNWF3ZCUXh7xeAeMcWRmO1fBFjgjyksO56zXUTaMZI5jsXsoTcxVYH/848NGP2sWD02Bigs8fRhDVzUQxMqV34iwEuWuQm7ExYGoKU2GdIQ+FWLhkUaJuZobbmsohn5iwL3ZydcgtcegYzddgft/RKJL0LsyOBEFOlLDcpILcz/y6Upk75D5GVizh573FkoLGRo9DHos5doD84nLIh4bYgfFcuGVKwikiQNe4t5eLqZxxhmPi1BTwyCPAO97hyzKKeWTSbBgf57/2dtgrJoJcKBbMsZFmiazU1fGxvZCRFZdD7smQx2eq2OLOQZBbJ/NIBNN1PjrkoRhIKYxTPd8yd52RhFLBueu1EouPWMcifzoy/+Uv/Pj442l/xGvI1kxHMTTlyJBn0anTmp8WV9ONLe78cxYXHuYC39KpHkEOeCqt+BVZSeKQm/cl9i7MnJkZT447EnHUXbRJyJDnuFyDtWxzwA46spKtQ+78bJ4ZGGANHg7rZba05FzeLqkgD8g1Xr+eH63OnADwwgv8fb/97b4sw1UJuKuLRUAJjzyddFAgiawIxYIlyCdTC3IgxcWx62jrH5ZDniJDPjGhp2XZqdPrkM/Ua0GewwnMEjjE/0xWhVnU5emiRcgvzl2vBaxwxmtb/amcYc7mGZQQc3YaBrjW/dBEmFMvjY0ZRz9cEWit4FRTi7tDYBb7bULBE0fPugRB7menTo8gT+qQ5/C9md+3yyH3xFUA1nzxuN4O+XDIXUOUujF1yhM6dQYYWXHtRjkOOJUpJppAhDkrwqRLQjejAF3j55/ndXvDGxwTH3yQH88805dlGIdcKfC6Tk8XfHAnP3EJclOfVBxyoViIx3V/qHjqKisAx1aSOuR5Kns4W2QlHodjlKDMsU7mk5PAxARUWAvymuwjJkZX1M3wmXvCCPI8XbQI+cW56zWB9/HxqqbcBXk0ap8IMhj1ziXIJycRmpnCqAqz8Msi+uGqKa3FFbU05yzIPTe1+Gwe5vKMCfq0UA65D9ENV8QH8KhTG5dL7ZMgN/1RGxqQcEx0UlHhubHhsyBPGllJwyF3RVacn80zrmoaxiHPkepq3gauXHU06kvH3UzZsgVYtsxzXfjQQ9z53AyzmSNtbZyCiURg110v4Ry5qxSmcchFkAvFgilQgInZHfLu7iSGXkCdOn0T5FoMUEPYGpkxW8EVjbImCMV4ntM19SyW/Lho+c1v+OgrFAynsDR3PaIVDbkPh+68qs2gWotLQOsnUYS5KbkKcv0bDrU22T/nLDtcJjjkelAgIMkYRn455LMI8mgUvgjTBEHuym/YJBXkOUY0zCaayyE3y7f0bijEbcxnZCWNDHlCZKWADrlVTcMnhxwontE6d+zwjP0zMcH9Ut72Nt+W4bojUCQjk+aCqxSmCHKh2LDOZXMI8rVrgV27PCmRPAjyyUlehssh1yfbhMhKloLcGtrbCPLGsDU9F0He0ABrA03V+BRZ2b0buPBC4Nxzs5+HkDHOyEoYWgCrcFb7x+9/z47MfffBPiM0NmbUV8HlkOv9dgz1tiAfG8toiHRXn0Q981BT2J6NX5GVuQR5Fg55Qr/GWTp1uhxyvwV5isgKoNfRpwx5QgdcID1BDvh6hy7bKitBOeSuEtNzjCqaCUkFeQCu8Y4dXEzF4tlnef/wUZC7huYoA4c8aYZcBLlQLMTjDkGeosoKwCVNlfIYtT7V93Vizh1NTUg4u7sc8vr63B1y/flQQ501PVtH23KPtMCYrg3bDnkuJ8Tnn+fHnTuzn4eQMc6xZupmWLBG0JCVIL/9dj6B33477JPAqlUZVfNJJsijCPO/RiVl8Hsw+yuRPb+qFp6P9TvItyDPMrIyOcl3s9J2yIOKrBjBHqQg9zFW6LoGGR62R4mdBbMbKYWcy2lmimPX443iQ2QF4HlaMeqAXOPBQV4/l0P+yCP86Cq7khtJB0I6dMi3+ReahAx5Y+Oc+3ApIYK8xEk3smLGRNm82THR55HgAI/xYjpr6Z7xfkZWwmFY6iFUX2tNz8UhdwrymTrtkLvG8M4CZ05ocjL7+QgZMT7O+1tFBVA3zd9pxDjkGUYQNm1yPJozwsqVLBLSdLVTRVbGxuDpwZgerviBR5BHIshZkFuG9eCgdd87wag2DnmGI2gmaNJZOnWOjcG+8vChU6clSOdwyIeGwDuPD4LYfA3OO3DJMuRm+QkOeT4iK2kK3KYmh2dTJg55e3vwkRXjz7gE+fPP84W+jyNPugR5fT3/zkwfmBKkv99eDfT1lZU7DoggL3liMaC2Rs0pyFeu5B356acdE32ucwvY547mZtg9TjUJgjzXKitaPVQ28sktl06Y1lgduk2qTmfIXUMGZoFTkAc0QuTrEWcKonqS7ekoZZch372bH3fuhH0mX7HCHn48DVzdKfT+ZAlyVw/G9HAZvFpt1rQlEeQZiuUEh9whhBIi1Q0Ndv4kAxIE+VwOOVHOwth1QWQmzOWQA1ldwHlxZcjNjpBJZMUHQT41xcddV2QlDYHr8mxqa/kcUwBBPj7Ou0VbG/iKIBr11SG3BHl7O5fgLbAg37+fHxcvdkzcuBE4/nhfl+OqBEzEJQLNXb4SxKXBRZALxUY8DtTXTPOJcRZBXlkJnH02cOutjjtWPvfid86qsREJgtyvDLk3slLZwCdzS5BnsT6WJnAop/Fx5C7InW5ECWf3Sg2n6Vo94XHIM9g/hof5b8ECfhw/pAW4OZOmKdZcQtfrkLvUZ3okc8hrWlnkWYLcqLAMSKiyYg0qwMeQcNiTIc+w3UB6gjzhpkGOWWozH2e51LQEeRYlKb3knCH34ficcIcgTUHuuitCVLDROl3RBJfLkzuuUoAVFRzlKPCxuaeHH02sGyMjfMXvsyBPqLve0VHSDnlfn6Ps+OHDZVWDHBBBXvKMjwNNNfqkO4sgB4CvfIXPLVdeCbv+MeBrySeXGzSXQ56rIDcOeUPukRVLE2gBE6qvsQX5+HjGTqOF8+RVwvVfC8299wIf+1jWu4hrdPIqI8hn6nn/iEbTHhzDGGemVvD4wRHekY1yS/NiLZUgd2XIMxTklriKRIC6OjQ0h+zZZBlHc7XT3AFwCCFXWT4/BbknwpFw0yAfDnmSyEqCCZxDJRlDpoJ8ZMSxe/rUqTNh/dOsWpKwGxVIkLvK26VZESZd2tsdpQCBQGqR9/Tw9Y2JdVuDjR1zjK/Lqavjw5UlyDs7S1qQHz4sDrlQxMRiQEP1BD+ZQ5CvXQt87WvAPfdwh27rhJQHQd7QgLwIcleFBq0eqps9kZUsBXldHVyCPBbT7VQqq46vn/gEsHfToH0VLyN+ps2//Avw059yhZNscJqulfEIoqhHbKLCFkJp7nvm7u7atfwY79MjvGSY+3YJXb3scdT555CHw+6fc5YX2652RiK87xubFJ6fVx4dcvPU5ZD7JchnZlJGVowJbPVbzKHWusF1TJwjQ55Q2MWnTp2ugaSAtOt6J/QbKLBD3taGtGump4txjV0dOwMQ5PPn810nAFxyBeAMuY8QcWzFJcglslK0iCAvcTIR5ADw8Y/zcMR33YWCC3I/Iiuukaf156ubHJGVxkb+Z2oq4/nW1toLqAw7HHIg49hKTw9w003A0GtDUIuX8EQR5Gnz2mv86OqEnAFOhzw0HkUUYbtPAJD292nMJCPIpwZHeB/LUIya/ba62n6SV0FunuTikCcpjedyyM0ychXkSTp1VlR40mI5OsVjY44ykea4k0SQA57+sH475GlkyAFPhn1kJPs7dJpsIytF5ZD7LMhdgwMFIMi7ux0TduzgHXTZMt+X1dbmuMAs8ciKlVIZG+M/EeRCMeES5GmU/2lu5pjaU08hWIc8y2y2+YizykpNi6PsYZYdVRMiK+HarASc4YUX+LEVg4i0L+UnIsjTYnraPudnWy3SmYKgsSii1GDf8QDSvhj0CvKZoVHex7IQ5FbBIb3fxlCbtSBP6NSZyiHPRZCb/dXhkPseWZma4i/cI8jN7K1Z+xBZqa93l4lMFlkxi3INsJSjQz46qqv9ODr0zlZlBfAI8qkp+4vJkoTISjYZcoDt1qAcch87dQKeSiuHDqUdY/ODBEG+cyewcGHS30GuuDqxdnbyDuljqeNCEYvxsa2jA7bLLxlyoZiIxYBwVfoOOQCccALw8ssojCB3tClpZCXLkml1dbAjK02eTp1AxidvryCvClfn5JCbyhyNGMVAbXdWbXq90t9vnxuzLZnrMl0jEYxT2L4QBNL+Po2zZO4kq9HRrB1yqz0+CPJkDnnS0S2zFOR1dUjamS6pIM/w+OES5AllXWwSHPIcBbm1vRLyG25c/TizHPHUidlliMArVFPDo3AmIakgB3I+drhWeXqaN0gGgrzQDrmrU6fPDrmpKugS5NPTBY1yHDxoV1wEwA758uV5WZYrgmUc5RKMrZh9oqMDtlMiDrlQTIyPA/WVmQny1at55+6P50eQV1bqpngGKzJ5OSuyMjOTcW3uZFnc2hZPp04gN0FeXY26euLrhbrcBHk9xjCCRj6xiyBPiyxHp3fhjKwgGsVYyOOQp/l9jo7a1cLq64FQ1BNZyaBTp1eQV9TlJshdNbV9cshdVVaMEMpnhjyh8LmNyyH3ocqKlRKZwyFvaPA3shKJOBblGqI0kaRVXoCcO3a6VjlhlKTUJBTiKpAg7+vjTV9bi7w55EENDqSUp1oIwA65qyi5f7S2OgS5WWgJxlZMkzs7YZ8YXFc1pY8I8hInFgPClelVWTGY3/2u3jq+l+pjHXJz8iFCQmSFiJ9aDjmQcY7cJcj1k7o2T6dOIHtBrv+preXrhema7AR5by/Q2TKJKkxhZLLe1wE+yh1z4F2xIntB7hLAkQhiIU+GPM39zuludnYCleO5RVasJ0Soqq/KSpArlcTxbWhAXR23M9fISiikL54LEVmZwyFPEORZZqmTlYlMK0NuIis5ZLjNPgSAVz5FXAXIn0PuWmXXcMqzY8Zkcjnk8XjOEZq5cFW0S3JhmAtJM+RAwQT5yAinkKzxf8bHOcOSJ4fclTIyG7UEHXLT5I4O2GUqRZALxUQsBtRl6JBbx5+D5MstWSeRiOPk4xHkQH4EeW1zjT2rLGqrK+VxyGtqrObFKzJzVA0DA8CRS3ndBuMiyDPBnDyOOCL7Ubpdu140inhlOCuHfGTE3qU6O4HqeHaRlXjcI8hra1EfJv64CZdnIO6VSoysVFQ4DN0cBLlrUCAgIbISjeo+03506kwofG7jGiS3sZGvkLMcEyCTyIrrkBgO88pOTGS1XMAjyMfHZ3XIXQO5APmJrLgGi5idigrPzb0CjdbpKqAxNMSNsEqS5EZ1Nc8uqNE6XcISAHbt4sc8CvLhYR0DNAstQYfctd3MdyWCXCgWTDW+cIaC3HX88VmQj446bs/mQZCbviiWIK+uRkVlBWprs4+sTE3xud4pyI0+iIcyc1QNg4NAVzOLh6EJEeSZYHTg4sW82TNMNQHgz1RV6Sfj45iozN4hN7tUaytQNzmSddnDBEFuMtKm/EeabUrQkw61acU8cih76BoUCEhwyK2XcnTInf1A0nLInW3KkLGxJA55up06nZ/JApdJMUdkpamJ71BYYtFnh9wVWUnTcXalhYwgz/ZKOU1cgjzNDqiZ4OroaE6IBRocyJWFBoB9+/hxyZK8LM98ZcPDKJ/ISm8vr1geOsEGiQjyEsaI07pQ+lVWAHswgoMHkReHfDZBXl3tyJADGTteCRlyPR9Lz2RRZcU1T49DPl6RXWRlYACY1yCCPBuMIDfnp2wSVZOTjuvTWAzTVbU5O+QtjdOon4naqqmmxh9BDmQkyGcbBt76OVdVcftycchHRvhiwSFcXfqwuppdyyw6dVr9GmcR5AkOubXgzMmmU6dS8KXju8ukmEOQJ9SN9lmQ19cjI4fcvK3QDnlCZMWn/Lihrc2RIa+v5y8o2x7kGZLgkJthO11lV/zDddeltZV3shKNrJjfBw4cKDt3HBBBXtJYd3srMnPIa2p4p86HQz6XILcc8gydSoM5f9fUwKUeLD2TRf3lhBhMba0tyJG7IJfISmYYQb5oET9ms9kmJtwOuSXIc3DIO+ucw9DC0+twdvIhyL2dOs00V4WQXCMrjY2cW9AYo9KVI8/CIXcNCgTM3akzx1GFk3bqnCWyMjOjv44sK8k4ySRDDvw/9t482JLsru/8nru/+5Z6Va+6lq6lu6t6kXpRi1ZL3ZJAYRCLGCRkxGLZYxt7zBBh4/GYCA8BhsETNjEgIGwiHIgYsMAyYgAHAUICYYUWJAFCQi3UarU0vS/1aumurnpLvf1uOX/88pybvzwnM885mXnvfa/vL6Li1r3v3pMn98/55vf3OzH1tqCkznAyV9qVeRRyeQCM2rJSpkIOAMeOjRzIlYf80iV6LRnI19ZAo+ClpX2pkL/8MnW9VgPByxTIpzFJoUDSEciByORkrMZX/rAG8qI85CE9KLjxeIxuUshlt3c9FPIgIDXiaJt+s7I7BXKXWF+nY0gmXyn4cwhmWcmhkEdhaqkVAzkm4aYHA92wJiMD8lbLTyHvdGhlk4DcEZbZLPY3bmggVBqQZ5U9zAnGxqTOFMsKEEJoAZYVFw85EIPFAhVytbp5FHLPeR5cgtWbBkqxrCwtGYDcN4PcMYwK+ZEjpdkvtLyEo0f3pULOare/9NIwGe4AxRTI93EocamaA8g9VLS00IA81ifNspIHyE2WlXqdFpITyGW3lYfcAcg3NiiB5kiLfnN9e6awKbBfDSGPIXnv33ppA/iFX3CCsU6HW1YGDT+F/MaNYT/k/hzMRIA8h0LOeN7XshKDSy0h0REkWf329XVNRdWA3AP6GZBnJHWqpnOCsWtSp/paAZYVFw85EAPymRlSNQsAcrW6eRTyEQC5NufL2loplhUG5MePj0whv36ddqkaY2izBBUbmu3/ppv2pUJ+5UrI4EEwtaxMY/JCgaRwK3sI0PVnHB7ywpM6I5YVpqY53LgZE8QU8h24e93lhV4C3CvbbboJO67rqzVkAp68YZ381Z8BfuqngN/8Tes2lELe7wPdLgbN/Ar5YoN+owZpjkCuToWIZUX93AHI5ddmZqDZL1iXPGbD1TzkMWiTb0elkO/skH2kcIW80Yg8QuHBFHLPxFUZvR6tg62HHIipt0IU8nSNzeyaRyHP6eW3CU1BLimp8/r1SDXLEVtWjh4NSwMDpQP5gVPINzfpPJoq5NOYpJA35qZwV8hVbdKygDwItImBgOIsK8pDHrbDeNcREkw2GLkpO70KLcwDyA81qEMrO23qZ6cz0umZ92tIZpHwN/P8N+g/f/mXVr/v9wni6nWoEVwggbxivz+DgDOpBPKtIAQqRtTpUaSHXA5Km01oQM5O5yKAPMGykmfiHGajzkjqBGK5IR5g3O0yV0+MzvUwWlY8r5HyZ64ecpVwKH9cpGVlY4O2d8KAJB5sPFCQpz0tGJAHQWkKea8X2a3HjpFqPBgUuhxTXLsW8Y8DIwNyZftfWoodYJMf/T4JiCdP4sCWPASmQL6vQ97LGnCrsgLQjXVtDQhmiwPyIIgAuaxVZwDyTgfDG7CkC8vQLCth+4xn8gB5TCHvdOAMNlKJmK8NPeRqxs+pSp4ZcSCfu/j/0X+efdbq9/LQazSgdm7QmhnOZWIJv7u7dCOQDLJQMwC55QQpVkBu2ZYTkHt4yBmQx1RUTSD1tMXYJHWyypI5wFhuY2ZZSQFytqicyrwG5JYe8hs3IuU+c85SCsTGIIb9mhYSyIMA5LVot0tVyFl5u50dIucSPORAhEuPHaOTveRyjnKZSv0fDMh+USKQt9s09mIKOXs8MPlx7RrtnptvxhTIpzGZoYDcQyFfXKQLfq81F6nxlS92dqiZuTnEqGEYjUb4J3nXd5zxTYPneFInUAiQKw+5rAjjANLy3jkL6tBm0Eav4fdE4NUYHMgDzNwIk60cgbxeB/MjqUPNcoAVn2FcAvlGPwSqZrNYIPdRyGN+aM26lUchNyjJmqXZE8hdFHLfZG0ZrOSf/CAhoRMoNqlT7h711NDSQw7EZuss0rISLR1kEQsLBEPq8Cw5QZ0p5HIjFAzkEoiVc+PYMXodQWInqyBz9WqENMsJIeh+r4B8aYkukiU+5Sg6ZGXIkycxrBc/taxMY5JC2TfgDuTy+rZTC2fAK2AqZKYGJQC5sqx4AvneHrkOajUwS4ymkDsoWkUr5PLe3RrQb7bR9koOfbWGZJZ2G1iqrKE66JFctr5uBa0mhVy0WsOHMZbwGy/GMVehfXejF+7LVis3kPd6YX99gVwuP4Q8OXYMAnhbVhQss9l0KKSlWZta3iEYkKckdTKFvNWiE99DqdaqHFoq5EVYVrSKOIOBNZCzSitFV1lxVMjlz9QHJcLclSt0fT9yBEOKlL6LgoLNxRH9YAQ+8uvXh/u47BrkMpRFFTA8Hpj8ePFFej17FlOFfBqTGfJeXPcAcmnJ26641+1OCtlEmkKeF8hlcpwQYFVcCrOsxDzkSiH3APJmFMjFVCG3DQnkQgC3zYXPr++9l14tFCw5y3m9jiGQzxCQDwaw3p8seRLArKDfrHfdgFzOqGuqsgKEXckL5JGBqfqOh2WFVVlJ8FozPsxbySXW/2iw7SOE17KAhImULBTyzU0MJz/KUd0FCBmcTVGaHGUBObOsOCjkbHZWoPSKURcvEp9WKhgCuSLYYkIK4oq/tQ/Ki7W1yPhihEDOLCvAvkrsfP55er3tNsRGbAcrpkC+j0PevxuD8A5tmaQDDC+ym8hf1ksGezybYlnpdCKfPwkYFwAAIABJREFUewC5uplHFPKyLCt5FPJmbxuDag091L3qmbN47DHgM5/x++0+i+hT/TOtEMjvu49eLYCcWVYiQK7+pkaF2f0AhvzURmTmVYAOGIt2WGUggCnkajkOQK4lNkcaZ7nSeSwr/T69Mai5GpA7Xjs0y0q9Hk7byUNzqXgmoGse8oykTm1usRyJ72wwIDtiUWUFiE0ONGbLChBTyEsE8kuXhpOClaWQy5KKowbyvT065FnJQ6B0INcsK8C+UshfeCEyN8XFi8CpU2zCsoMSB2+NDmKsrBhPHnkvrgUdGjE6HKBSIR81kCsWqlToRpwHyMtQyGOWFVURxgFs5Hao93fQb9LNdzevQn7//cC3fqtzEux+jCiQn6yFQH733fRqUT+3E31gFANy9XTG4riTu0r2RVqQVvfcPOSaTToG5MqS4aOQx84zBuRyIOmQH6LOL41ih8H4cHY2UpvQLjQgT1CM2/ExbFEKeYZlpdGgf6yeexFAHj+gEkIKf+qSn9MiEgTFWFZUqcv5+VItKxcvRoBc1ZAtVg2dnaV/ir+PHKF7UslALrehKhpz+TI9/SnZfnEQFPLbbgufjC8vA2fOjLtLpcQUyCc9+n06Es+ciaTdUyjLyqDjZFcBIhN89EsG8li/mDjp4MGVoQF5RCFXVQUnQCGv14Hq7jYGTYINVZnDRyHv9Yb/l8/uDnBEK8OdqIYAfvvt9GqhzKUp5OrpjIdC3uiHHvJu+IHl8WsE8pkZXhJdVlmxgOe9PboxRdcvrpBvb4OO28HAehAXBJHzK2V6eU0hVwu0C8bg7ITmUZRC7mpZAWLM6eGTNy7bUiE3WlY2N71Lpkqr1n5QyIMgBuQlKeRAbHLOapVAtWQglz5uBeQvvUSKtcPTbZ/Y7x5yCeQACMjVAXKwYgrkkx5f+xpd/HZ2gEcfZX9SCvlAr/edFWr2rl7UMJkvnCwrgBeQs7mGItMxao/qfYC83qebXgFJnXIbBA1qaDvIoZAvLw///8wz7r/fRxEvRHFchDfI8+fpVcl0ycGSOsPtXWlHFHJLII97yGt729hDA5u7NfpAWlYyIJoxc79PA6xmU7XLJiyyOB/kOaDyKIBkhRywPna7XVqVLIWc8ZhjFRI5PmBJnQlAzp4gyGUVVWUlRSGXiyrNspLhIT90iPYtA3Igd+nFPGUP5c/UByUB+fo6baZTp8IPJJAXXGUFMEzOyQi9nNCA/JVXhnaZEkMq5EEQLrxS2TdA3u/Tbe/22zEcsU0V8mmMJb785eH/H3mE/UkCQzWHQr7aLUkh75hro5elkDNl0PExugKmytDrwJI6Hfup7veR/uVSyKM2jX045bFLSL6V8HQU17BdmR1WQbAAclNSZ2V2Zvg3T8uK2NnGNtpDJmw2qbOxJ1fxYEAeOS9YXrPDRFlsUBpTyGVf1cAUsD7mWFMZCjmbGAiwBmWt7LiFQs4sKyOosgLkm2gscdmWCnmlQgDFPOSANwSzakFy6tA8CnmJlpWLF+mVWVYWF405BnlDm5xTI/TiQ16+1Pji6tWRAPniIoHt5iZoWx4+vG8sK889R5eJe+4B3f86nSmQT2NM8fTTRBaNhqaO7u7SxbvSdQfydpts59d2i6uyYush7/VCVrZMiouGltQZrjebZ8gDROp1oDoYeh1qNVKpXABOhrrfdzoQTerf1sBtynYW0RuxuksfzIhD8ALWsVFdHM4s6KCQMyD3UMg1QXN7G7uVCJBbVgrSLFEA0GiYgdxBIVdvIn0xKuSWMMmeCGiy8jCMlhVLUI4/dUgD8qIVclV6sNvNtKwwBi9AIW+3Ye0hB8i2ogG55zWarX+8uL5FGBXyTqeUfBYNyFdXS7GrAAZBXCP04kNTyK9eHWaYlhhyE7LEzn2ikH/96/R6zz0YPi2eWlamMZZ49lkyT50/r/mH5b1MeAC5EHSfWeuNNqlTWuW6XeRTyCXVh+0zuPFQ7VotMJITIjaJkadCLsL+qdrVPpaVKISOYCa5wuOzn6VtaGG3iYuI88EGNjFPB+yhQ+6WlXC/1ebcPeQaP21vY88E5BltJSnkRsuKj0IuRFiYP59lxVYhn5+PWJodzzUfIM+rkDP3Tcp6xZedd7kIFzczE+bbWyrkQLFAziwrsg0HhbzRoF2kTj2N0IsLCeTMslJSebtjx0hwVQ9SxwHkI7SsRJePo0f3jUIugfzuuzE8QKYK+TTGEhcuALfcQgegPBjDUMlRkWojLjE7C6x0igXyajWmBBo85ICf8gxE6jmzUhoJCnkOIJdN+/Qz6iEXLeqfmt3x1aiQv+99tGN+//czvxpnltnBBm4gBBJLIDdaVqIKueX+NCnke7X2cBdalu50Ush9gLzVCg3lButWdEUywsWyAoSXDEcPuTYPECu5wkNeS4pQyGu18FIRn+0pIRiQ50zqVJvQAciXlopXyOfmMLyWOCjkQOypSM7+pMWlS3Qoq0kYV1ZKU8iPH6dBpdI4jh2jlSxgkrykYFVWul1a+AiBfD8q5I88Qnrk/DyGCvkUyKcxlrhyha5OhhNIgWTHXSEH6AK9ujvjPQNePKRVw5RsJiMvkMuJgeLtF6KQxyCfTWJkkbwnI2pZqc6ECnk3R1KnvBMuLe0rhVzmI6t1ltOtpUScWdqDDdwI5Nz1C96Wlfq8v0IeBfJOLadlJXKMyZ/v7MAJyNU5AMToPJ9lhfUzI6kTCPdtXoU8BciBYpRqBsU+CnlOy4oG5BlJnQCJwupyP58v8T6vQi6/ziwrQGkK+fHjkdtZiZYVmZYiJ34cRS3ytTUaaM7OYqhQj8Cyooo4REsf7gOFPAiAz38eeOtbww+Wl+nCPoJtNo6YAvkkRxDQ1SIByFWBghxAvrklct1wosFm2s4A8tyWFQM8y7+XopBH1ykjmGVlpgkhgM2dKjWYRyE/edJbqRt1XLkCvO51wPd/P4aqxpUrmb+LA/lMbxPr/YhCbgEB7NAICbA661dlpdmMlPff3ka3ntOyEjkvClXIw2BJnSVZVvIAuUtSp1w8U8h3d53L/21tRURpreSIxXJzWFbYNXESPOQTrpCzkocAbYSSLCvSFnPpUviBJPSSgVxW0VHLmSrkifH887SZ3vKW8ANZ8vAATgoETIF8suP6dYJECeTr66wmNYNTx7KHQOQ+UyCQq3tNiQq5yRKTVyFvNqEBebPpD+Sy0oxoNIZqm8NsjCxu3KDfHjrkP9PniOOTn5SvwfCOJ2elS4m4iNjqbWA9mKfD3tFDXq9DFe1uzpLHminkGU88ovXQ5Qe9hr9C3mzCqJDnAnLl4aLQyn/KFbEIVyDf2Ij83Tep00IhZ0AOOA9Kcyvk7TZddzOq6WQu21EhX1sLxx7a1KHufYBsZh8o5Mo/HgSlKuRyOcoJOiKFnCV0RpdbYhg95Lu7E38/+fzn6fXNbw4/OMAlD4EpkE92SEVRAjnAPMRFWFa2thAruusfDGASJgZiQG4502E0khTyPECumMagkCvLimo8O+JlD9XN3bGeuYobN+gmyOhksuOpp+h1BjvD7WZR4zc+jmt2NrCBeQI5n6TObpdN9MT2pyqIbw6NFbe30W/Eyh4CmccFK4SSlNTJ/CvpwRic+VfyJXUyf3dKlRVWha/EpE6EzTPLCuAsHhiB3MVDLn/sMZjWgLxet5oERorCa2soNqnTUyFnp16JQH7pUkQh39qigVBJCrmcrV4p5CMA8vX1WEInMBL7xcICqfJMIQcm3rby+c/ToXrPPeEHB3hSIGAK5JMdJiCPPGZSinSOpM7SFPKEOuRFJHWmecj39uCspKnxTJZCbtlX5SEP94tySORRyBcWYnQymuj1hlnuLvHss/R6GOEdoN22guk4kDf2CMi3t+GX1BnuXDbRk3yT8cSDHc/hB4NWJKnT8rhg/YkMVBnPF2RZ0WbqBPzsJFtb9FjY8ORt1B7yvAo5s42wUlDJIS0rQQDn7RgNDcgt1HEgNltnu037osiyh3kU8pIsK1tbBIysBjlQmkLebBKDj1ohZzXIo8stMSoVWq4G5BNuW/nrvwYefjgsQz8Y0OhpqpCXE0KIdwghnhRCPCOE+EnD35tCiN8P//5FIcSto+/lGENmmyQAubrY5/GQ71fLSsEKuQnIfRTyXo+6pvZLOOvn3h6cFfKLF4Hf+R0gWI8o5CMG8l/9VeDee4HPfc7td1J4UUB+2210jEUsV6Zgh023i1pvbwjkltUu2G4Mzw2mkFsCuUkhH7TcPeTsUI0MVCsV+sw1qVOzrETOMdZmHg+5pNiweks0GJDLORJKAvLCFXJLIG+3CcbVeQt4nXsakFv4x4HYA1FZozYHkFer4WFShIe8JIVcKtUKyKWCXCKwnjoVUchnZ2n/jNKyUq1GPig35GydAMiyAky0Qr69TYUBHnoo/ODll+niPgXy4kMIUQXwqwC+G8DdAP6+EOLu2Nf+GYDVIAhuB/CfALxvtL0cc9gq5HktK7KwcM4wAnns8WweIA+CZA85UxsdFS1lwWdSpiGp06Kv7Il4CEtqNR0V8n/1r4B/+A+BlRfGB+RPP02vn/mM2++uXwde+9oIkJ87R68ZCjfbrSGAKCBvt+mCnOHlZZYVk0JuuT93dnSFPJhxt6wwII9ZudixIReaEWkKORCZZVJmpPp6yBN81hqPOcxkyWwx7IQ2xzg95EDsSYMnkKtjSDugkkMq5KzSSg7LihpbbWzQsRbWrbcNCeRBgOG2KxjItRrkI1CQT5+OVRPWZgsqNhiQv/IK2VVGlKB4+HDEQ74PFPKvfIVyKN74xvCDAz4pEDBehfxNAJ4JguC5IAg6AH4PwLtj33k3gA+G//8DAG8XwiDZHNS4coUuxLOz2Qr5JCZ1NpuawqYBucNsbxJsMhVyB7iR7TKF3FT2UDWeHux+H7esOAL1F79Ir3uvjM9DLg831+v29es0kcMiwjvArbfSq7ojmCMTyIHMbWiyrPgo5MxhMBgooJJPQWyPC22AoN4YgNxnps7Yua/GfUI4HTO2QK7N5O5QhYQp5N0ubdcRKORalRULhRwoBsh9FHJmWQFyiSasD9L+5hgLC/Rwa3cXBJA5BghJoSnkEoxHCeTHj4/OQ3716kjsKjIWF/eXQv6lL9GrAnJZNlfeSw5gjBPITwFYjry/GH5m/E4QBD0A6wCWTI0JIX5UCPGIEOKRV+SjrkmOwQD4+Z8Hvu3bkv0AV64AJ07Q/+UVOlKHugiFvNsF+u0SgTwWRoXcsr43g7W0KiuOnu80y4qrQs4SqMKBkhp3OCjk3e7QsSS2N4ePUx2g4DOfAb73e/PNcyFPJdd71PXr9GRxqR7etOVd1hPIt7ZgXTXEZFnx8ZAz8TbciGKWDvCtLeS2rAB0SBStkLPDLA+QJ8BjrUbLUDzmoJAznzpboDm0sodAPoV8c5OAMmWZcrlqUUUCuY+HHMgFwKrqE0BtZAxGTCEZniV2HgCF/NQpulapa2SJs3X2erT5lYdcKuQjCmZZ0R7BTF586Uu0f9QkUS+8QK+33DKuLpUe4wRyk9IdJzOb79CHQfDrQRA8GATBgze1WpRV5qC+jiJWV+mpS7C5Bbz3vcC//beUtfBDP2S+EctJgYDhRTQCznk95PJG0W0UV2XFGcgHg0xfsYykCVbUZ/I7QtAHDgq5VdlDT8uKKibjANTLy8MpnSudcErW2Vkry4aMH/sx4KMfBT7ykfCDwcC5dJs8LFzuUZ0OHaZLS8BSK9wgssZvBkwlAbmLFUkD4LhC7pCMqQ7hcL9V5trDtw6WFSHCxKQky0q9Tl/wmRgoC8gtzwNbhRyI8ZjDTJZMIdcM5XoYq504igfsuiTXK+NBK2Nwx/KRMvp92j0+CrlUURWQ5/CQqyRz+cbRPw4MIZIldpYA5IcPRzbR1avD615JIXUClthZEpDLzTUuhZwBea1GHZlghfyRRyLqOEBAvrg4Ms/9OGKcQH4RQNSdfxpAvFCx+o4QogbgEIDsucOfegq4/Xag1cLG7HG8fPZBXH7T38VLP/i/Ye2nfxH9D/0u8Bd/QTvYo7asa6ysAD/yI8DppR384tn/jMtH70PwB38A/NIvAX/6p/RoTlFTJKJAXq0yWSoI8ldZkYy/1wgVckulOilsgFxayn2qlyRNsALQ9aVSiYzBHNTopCorPkmdyrLS6tMd2bPKilTH77wTaPTCxDc260t2yL584xvhb06eBP7xP7b6rQzJPi5CioQIBuRSCXIB8hCAtjDLgdxVIa/XvRRydlqFy6zOGxRyCyBvNEIGjCnkbNxomVOhKeQGywqrBGN5vMivqW1vC+SOHnI59rABclbtxEMhl9dJBqQWCrHRsuKhzAOxiYEsgVzm+hWlkDMPvQfgankDCwuFW1a0SYGuXqWBfIku1bNn6fXChfADCeQ574WmkA8Hxwnk7AHlBE8O1OkAzzwD3Hdf5MMXXjjQdhUAcMvsKDa+BOAOIcRtAC4BeC+AfxD7zkcA/DCAvwbwAwA+HQTZZ8qVuTvw8yd/Cq1ry1hYv4ibl5dxZvkZnPnSn+MQ+Kh+AIGN2RPYPnIavZNnUL3lDNp3ncH8a0+jeusZeu5+8qRzEgxA5/R//++UnHfm2ldwcfbdOLy5jC9034J/d8tv4D//2Nsx0+jTGfrJTwJ/7++p325tAdUXX8Izt57EvfLDiI9QOj3yVlkBgL3aHKmnu7vWj1RN66oBuaFPmkIO0HItVJs0hVyIWFlzB/hNsqwohdxSCQWGIDTXGIKXsqw4KOTyRnz33UDzqV30ai3UomCQ4QMNgqEF87nnAHz1q3QD+L3fAz70oZCIskMCuYsoKa/xS0sAGiGVyBuPJZDX61D7bwcztOkX7S0rlUq4iuG5Ua3SMeLiITcp5AzI2bSz6e2oUyFJIQci/pX00OqQJyV1yjYdFPJWK+Sfra1h3oohNCC3VNpYURULy4qsdrK7C8wYnhJmRadD42JXIGeWlZv9LCsakDso5ABt/qKAXFUO3Nz0Uhg1IC9BIWc1yIGRAKsEcmlPxrFj9MR2dbXw+ufS7rO4CDqgNzZGallZXKTFqkvGBAP5c88Rktx5Z+TDF16IfXDwYmxAHgRBTwjxLwF8HEAVwG8GQfB1IcS/B/BIEAQfAfABAL8thHgGpIy/16btk3ct4Kce+afhcuiYu3gR+MtLwMtP38DWkxfReW4ZlYvLaFy9iPn1ZZxYXsaZ5W/gzN98HHPg0NBHBTfmbsbW4dPoHDuD4PQZ1G47g9btp7FwzxnM3HmGRvIh5AQBJeT97M8Cn/gE8KN3/jnev/VuVI8cBj7yaaztfSs+8N3A2V8CfvZnq8Db3qaVsfiVn9vET3c38d8+eRLv/ivgrW8Fe2wp7w15kjqV4FoLYXhz0xvIOx06gZwtK4CzQt5sAtjUyyoyuCnAsuKjkCuPbIXXm3atsiJvxLefD9DGDjYwg3kHL+u1a8O+XLiAUCYP49Kl4Z0oI/ICea+2hR6qqEkiyOg7ywWOA7mDZUUV9wlpWA7YXI47k0JeWzAAecYEQ1p/ADOQWyjk/fDBS1ZSp3o07QHkADLVXA3Ipb8zIxiQWyrkQGi/PjJDB4bDwSgPN82ykhFFJHUagdzh+nrkSHFVVhTobm5GTNr2YVTIC65GcvEi8MADkQ+uXCndL3zmDB1SCsilte7q1cKBXKrThw5hJCUd4yEvwaur4YP3o0eHj2InLOTEcoq/g4CuMd/5nePq0khinAo5giD4GICPxT772cj/dwH8YJ5lCEHH3dGjwOtfDwALoCqLvMLi+jr5dv/iQoCXnlzH1hPL6D5/EeLSMlpXl7GwvoxjyxdxZvmrOPPlP0Eb/CbXRQ3XGjfjevsMnuiexye23oK9uTfis9/3OXzLn/wExB13AB//OHD6NN4B4D3vAX75l4F/8S+Ao297G1lWQkWg3wc+/l+v4KcBbLRP4Nd+LQTyiEKuJtJrhR5sD4Vc3md2axHlyXPErt34EgYJ2kydgFPyJRBCwwoHG/m5j0KuFMwYLPkkdSrRTwwHDEohd6gqI4HqjluoT9uDlhOQR22Qr7yCyDNZ0IFeIpDLwcSRI8BubQs7lVnMW9aGZ3wZB3KHpE4FwN2u2n/KOuSgkMeBvL4YAfJqNeaTsmgnZrWamYmooBaDSK28f0JS5+XLkTc+QG6wwkRjYSHC4I6WlXiibJZCDkjB3q1qDGC4LuWxrIxYIT9ypIQqKyzD0z7KTursdIjv2VhheRn4lm8pbBmmaDQITplCDtAF9DWvKXRZzLIiL9AjTuqU/Th5EqSY+Mz6NoKQQH7HHeEH167R+TO1rLw64tAh+nfvvQL4nxYBLAK4j31nd5fOo2+8HGD12RVsPXkRveeXgYvLaLy0jJmVizi8uYxv738cP4D/BmwC+CMA73gH8Lu/yx4V/of/APzRHwG/8ivAz/2d++nDxx8Hvu3b8KlPAXiJapCfe+tJ/OLHaYAoDAr5fIuX6nMJVdih6v4oOB7ynm+rkHe7AOaK85DLz4u2rLgq5GrQUBlaVpRCLv8TBJm+yJUV+sr5U7TMzV4Lxx2Sy+SN/I47QiErqoSwOl/J0ekM1d2tLXoCYlMyVwp58/PAfGUL2ygIyC0V8m43cjp0Ooom1ADLwUMet6w0F9vRt5FGHfojfwd3hVw77LOSOhnxp4cG5CmgzBwLjkmdvgq5+sABjI0KuYXyWQqQO3jIAeqmnPEW8/O0T3o9Z/skY3CW4WkfZVtW5ABSKfkbG6RKWAoHeeKWWxKAvOBgQP50eE7K8oMjiKhCrpY9oUmdTz5JYxVltZKj/ymQT0NGq0XXh7NnBfDGJVAFxvv1LwYBZSR8+ct0tj/8sAZgd98NfN/3Ae9/P/BT/8t9mAUUkH/gA8Ads1eALQLya5+gC/Pt8/PqGaaq5lHnnlSXUNNsV8KrdY4kHe3GV6JlxeQhl5+7JnXKIi9JlhVfhbyJ4X5hCjlgZTFaWaEL901ztA4b/Rmn5DLJYK95DVVaGVx5CZWbb6Y7n+VjSjk+O3GCxKqtLbsCDVEQmRNb2MQsjlv23QrILeqQxy0rQDEKefNwRCGXjVpYVhiQVyoKqlyTOhmQ93ox/woFS+rMo5CnAHmepE4fIFfNOywLiFn7ADqoLWb6Y8uV01w6Arm27LwKOUDXaMep5BmD51TIGZBvbFiJCzah1SCXk8CMCMhlzesygVw+XTh0CPwx4ohC6oEKyJeW6HjIONfHEU89ZfCPAwceyMdZZeXghhAkTb73vcCb35x4wfqJn6CT4zf++BiNVh9/HNevAx/+MPA9D5BCfuubqcrK178Oo4dcJQ/mAPItkV8hHyWQm+qQy/+6JsixSVsKSOpU3cKwf5rSbmFbWV2l++6RNi1zo9NyUurk9V5e1PqXrwJ33UXHoqViGgXy6PusiJZ+nME2NgazGAg7qCncshKhYdcBllEhjwO5hUKuWVaSbFauQJ5g+dAUcocqK65ArmZu3N2lwUFGsLxxB8sKU8gdgFxZ+/JYVuQHeaqsdLs0gHIE8tXVsPxpFMgdot+nzTw7G77Z2fFSyJtN+sc85LLxAkI+tFNALi12IwJyVWZ2aYmukSUq5AsLGCYHjBDIjQo5MJGJnc88E7GrAK+KGuTAFMjHGg89RPmc//E/CQzuuRd4/HH89m/TDfybz18B6nXc+TCdsI8/DrOHvOYP5PLesCkiSZ2ekQvILX3VzEMem+Zefu5qWWFFLwwKeb8P9FGlzxyAvIHhflFOlYY92K+s0LV6sUXfXevMeAG5FBSC1TW62Rw+bH0BloeDZQlx7XftNtAOtrCFWfrMAqY0IBcCotFwTupkirSHQt7v0w06SSF3saxo/UmzWWUcG1mDUtmMT/lPBctBYLTCRGNhgU6XvT0YZOzkGJdCziwrFkAuE4sZkOexrMjfOiZ1BkGorM75PcVUws1c/I17LCxEPOTadK35QpsUSHpIRgTknU744LBWo+tkwQmrAAH5wkJY+2EMCnnUQw7AOPv3JES3S/m8bNc/9xytwAGuQQ5MgXzs8RM/QaPzpxr3Inj8cbz/VwO8+c3AscFLwIkTmF8QuOWWZIV8ts7rGruEvDdsYn8p5MpDXq8zU7NPlRVWFtqgkLO+WgwcNMtKmNQZBEC/Yb++EshnK7QOa7sta6sFMNyV6gZ3Y52elbLSDXZtyOu27TxbW1u0uapVoNUnIF9fhx+Qz8ygNSP4DKx5FXKL7aixbrjM1hE6wNUuzKmQMwYvSCFnE+D6WFbk+mQAORDymEN9cJ+yh6zpvEBu6aEWImZXLwrIHcseAiG7eSrkbOZg9sY9FhcjMOfZn6S4coWOCzWL5YULdAFR0zSWF1J0ZZVWSrKsKJ5cWaHzxkNI8w2jZQWYOCC/coWuXawE5tNPxyTzgxlTIB9zfPd3A/feC3zwkXshNjbQeeZF/PiPg00K9NrXAk88AebbK0IhlzfGG4PRAbksTFGIhzy2zj4KuXFa84hCLlfFZdIWAKj1uWUFAHpVd8uK2KNlrm67A/nMzFAVqWysE0Wx4sbZbQDDJ5u2T6ejImSzFwNyV8vKzMxw01cqVtYBLYnSI0lXS1GIKORCRA4tSyA3DRAA90Eke0qUoJCzCXAdyn8qILcAZcZjDvXBC0nq9PWQ93q0zSwVYnao5QVyLes9O9js5p4AzPrAphF2DzbTYwlAfuJExN154QIRmeV8CXlCA/KSZutcW4sMOKTiMsKo1+k40CwrE5bYqeUTAAZT+cGMKZCPOSoV4Ld+C/jiFk3/808e/Dp+4AdAV4fwmc3588Dzz4MuguEEPkrsqOcH8vV+cUCu7q0ps4f6JEtGv6ZgxAAiuS0rcsQAg5pvmdTZagGiO9wvKpdT2FtWNjbCe1743ZWdGScgl1C8sABU0UNtd4vuBg4z7MnDQVbmslXIoyJkvUNAvrUFP4W81eKb3gKMkgBYHXe1WmSWoOR+ALpCLmZLFEl3AAAgAElEQVRanHELsKx0u6H9ukCFHPLPMzMEor1earvy+7ZAblTISwDyvAo585A7Aik71HIAebsNL4Vc8hpTyB2v0WyV5W89gZwp5PIAKBDImRh+4cJI7CrAaIFcKeTXr48cyIHYoGpCFXLNvrSzQzaCKZBPYxTx4IPAb3z+HgDAz3zf1yEGfUpiOHcOAL2srfFqKNLLl6fKSq1G4LLRCyfcKLLKSkolkbxArvyzsXVWCijgrJAry0rEk87413Va84j9RbbTrdqvr6odHK7DjY67Qj47GzK4nJ320CFme8oK+TV53XZRyBWQ7xGQq/JxPpYVRyBPsqyo40POEpSyHY0KebsNCKEDuWsd8phCDmBoyXEBciaXD0MDcsDqXNCAPKMOOeAH5C51yDWFPE8dckfLBjvUHMstAtTNWi3c3Z4ecmByLCtGhbwgD/lLL40PyOfmaFuPFMhXVlJnwi0rDh82eMgnTCHXEnyfeYZep5aVaYwqzr9hETh9GrUnHqfSdJ0OA3IAuLo99GqurxN0NIW/Qg6E3Lor6Ko0AssKQP32AXItqdNGIQ+C1DYZeMWAPI9CbgLyTsVufYMgArXhd1095FIhP3QIOIRIvS2H/Sz3qbS92AJ5VCGvRoHc10Me3fQZIA3ELCuRN0zMztifRoU8PLiZ79ui7KFmoYkp5IAnkCeAMysK5ADkCpZdFfI8SZ31eqotoVAPuaNCzBblWWWFlTxUHbGLIoC8SMtK2R5yWc0J/T5R2YiAHDDUIl9byzyvXWN9fbyWFYCu5cqx2GzSsTBhCvmlS9xuqU/beXBjCuSTFPdSpRXypwC47TYAQyC/ciO8um9u4sYNOrmVNcIjqROI1CzOMRMc4AbkWnKdg0KuSjgbFHINyJWRNjk0y0pRCnlHt6zsws5D3unQPSmqkK/uzsRM7ekRVcgZkDvsZ7kYeRNxSeqcmwMQBKjsbmMb7SGQ5/GQA1b7QVlWgsCskGtvzG0ABoUcsYcvBSR1AhF4LsOyArgNJh2AnFUAsTiutLKHGfWP63X6l9dDPjODsVhW2KRAsh3LkEBSBJAzy0oOhXxtLdQ4CrSs7OxEZo8ESC7v9cYH5LKsVMEquaaQjwHIb7opnLlZxgRODnTxItlVVD7B00/T61Qhn8ZI4557gG98YzgiDEk85HJcXB0qUethjp5pghyXaLfDe0VBCjkrm1aCZaXVCk/ULIVctp2hDKZZVuR/u91449l9NCrklh5ypmqF313dadFopF63VshnZ+nrxxoxhdzyJioXI++9zpaVXg9iMMAuWsUp5Bb7Qe1GORgzKeQZQJ6lkOfykGdZVlKe6hgtK4bzQLXpaFmZmYEVkLPCKpZA3u/T6jOF3MLCwQ6b2VnawfL8yoiI0yifZSUvkHso5LUanbIrK6B9Uanks6wUoJB3uxEBBygEyGWFQQXkI6xBLkMCeRCglMmBBoNIlZUgmBwgX1qaOIX84sVYQufXvkYf2MxKt89jCuSTFA8+SDfZ3/otugCHRaTn5+lEevEaB/JDh5AbyBVcFADkzWb49LnXo4tOFpDXanSTcQByNmV4lkIOWAO5qrKS07Ji8pBrCrkHkF/fDtfHwrIB8PlPTrZjQL63ZwU0vgq5sqyEfVdAbmnJyARyW8927NyYCIU8wbKysxN5YztQcFHIfTzkFt7uzU1YA7ls1hXINS83YK2Sb23FapADTpaVwoHcwUMORKqUCjGssuXYB6A4DzkQ2lbkNizAQ36F5sAbWlbGBOSbm6FHvgQg39wkKF9cBO3DXm8sHvJjx+h4Ug+OJxDIL12KAfkjjxAbvQpiCuSTFN/xHXTh/fzngde/Xk2vDZBY/txV7iE/dAgxz4V7KMtKTiBn99YE5U5GoxHyoBDWoCubVYxgUMglY6n6y7JjKaF5yCPb0UchT0vqtLWsmMqlrWyHv7UE8igMHG/FLCvRhWSsCzD8iXPZw7ABBeQWfbfykNsq5DGqLspDnqvKSlZSp3pjDuPEQAlAvrcH6/NAFmJxBXIXhVwrqmJhWZHLYgq5WnB2sNnqHT3kRZQ9zKOQAwTkyvPrYStkY5ACFHIghNZKhVauAIVcAvk4FXK5qBdfRClALoswLC5iLJMCybjpJro/KgafMMvKYEBAriqsrK+TY2AK5NMYeSwtAQ8/TP9/17vYn86dA56+PLwZ3bhRjGWFKeQ5Lq6uQM7AyFJ6ZffvBIUcCNu2BBHW1SzLiovKGNkvSmnPYVm5ttmigYaHQn5T3LICWO1ruYnlpnTxkPsq5Axec1hWrBTyFJDOUshdJwZiVV/SkjrVG3PYJHX6KOTG+uYpsFyr0WK3tsLlVyruQO6gkBcK5L5VVvb2wvqUdpHXQw7EkvA8FHJjlRVHlT7aFyBW+rAAIH/pJXplQC5LtI4oWOnDEoBcbrNDhzBWIJerpmwrE6aQv/IKXb+VQv63f0uvb3zj2Po0ypgC+aTFBz8I/NzPAf/6X7OPGZBvbhZmWVEeco+LfTQYLGf0yUWpTF1GASBiXWXFEoRNCrls0teyMhAVdII6/cxDIV+oRabMdkjAk+vimHurWVb61ebQkqEeYZiDPaTIYVnJVMgzQNrJQ56j7CHLuXQA8jQl2wj5GeeB/LOtQg7QPt7cBD3pmpvLhGS2DPmBpULua1nZ3o5AsUdSJ1PIZYOWUYRCzpjX07KirISyQxW/274202POe4aMl1+mQ0jOUxOdg2NUwYB8bo6OS2luLyAkkC8uYgjAYwRyNdY4epRUaMucjLJDmxToS1+i1ze8YSz9GXVMgXzS4o47gJ/+ae3Cfe4ccGOQ4iHPUWVlZwd05c/hB9TU65Q+5QHyLA+5/F4RQM4UcgslVC47ntQpu+llWdnbQ79GK725CSsgDwKukM/VIkqqQzJWHMhtFPJej0TEdhtqvw6aEctKRuUbpiYXZVmJz9QJZO5Paw+5RdlD66ROi4ooZSV1Mga3qEMOxBjcwvJmtKyUrJAzD7mHZUVVTi0CyGVStkMUAeRqdaP1SD1CU8jn5wvxkF+7Rm0rh+by8siB/OhROhRffBE0Ojh+vBSFnFlWxuAhl5O8MYUcsJ69uezQJgV65BGqajGGbTWOmAL5Polz54At0MU02CzWsrK9DbpSKOnDPUYF5NYKuaUymGZZkZu020UuhVxVK4SHZaXTQVCjBmyBXBbqkPfe2eouOgjrPXso5NUq3SxtdpNRaW1GLCtAYkODAcF8WZYVedwFAXIp5K4ecqb6x6oP+VhWhAjhpcCkTiOQ2yrkgBWQ+yZ15lXIGZBXKtbiRbs9LBjlA+RMnWflXuyDMa+nZUX1ITpK94iyFPJr1yLqOGAos1F+CGGoRV42kE+KQg5MjI9cmxToVZTQCUyBfN/EuXNABw0MKjV017bQ7xdsWTl8mO48tr6EWDCxqyQgZ0mdCTN1yr7Y1l+2UchdLCsmhVxZVgaN4ZdSIg7kg4abQs5+D6Bd2cWeCDecB5AD9ruJsVzYzyAO5An9j2wyIqHwoPKuQ27wkAdBKNDnVMhtPeT9Pg00shRyVmUlBZ7lPhECieeZz8RADJYdgDy3Qj7KpE4pF1tCMWPwIhRyR7sKMGTeIIC3Qs4sOzkUcgnkRXvIGZDv7tIHIwZyoFwgX4+k8YwTyI8cocNfrZpUnifER37pEokNx46B+vT881Mgn8bkxalTQL0usFefxe51uhkdPYpCqqwoIAe8VfJJUshdqktoZQ+Tqqy4KuSdDqlx1erQi94VVh5olojV6SCouynk8dy1dmV3qM57WFYA4F3iT/BP/uh7M0HIBHZiJmJZiX4pFhLIGw3eELOeW2w/Na5iDcZyAiyBPG8dcg3sC0jqVD/f3R0+voiEz8RAPgo5s6wwudwceZI6C/GQOyrEkp93duAM5Gy2XdmIB5AvLNCgzjfxfnMzUr45p0Jeq9HPS1XIL1+m1wMG5FpS5+ys9z07T1SrtK01y8oEKeQnT4Y5D1/+Mn34KknoBKZAvm+iWqWy5DtiFrvX6cZ3/DiKq7KSE8hZfpYLkFt4gmWU4SF3sqwov0N6e0ohD9vS2nFRyCPr6WJZAYaboCV2sRPkU8g/tPG9eN0LH6VHiBbLjoKdAvIM4GSW78hKMA+7xfZLqkOuAblFvW/15KTb1YCcWV8Sjgvt9MxZ9pABOXtkNIxRecg1y4plUicD8lGXPXRQiGU/1aRW6k12xG1j2N72qm7Cxs8eZQ83NiIMzgzlfiFn61SdK8hDroBc8yyMLm65hfqytYUhkGdc721jbY2Ow0YjfCMndxhD3HSTwbIyIQo5cyvJhM4HHhhbf0YdUyDfR3HuHLARzKK7RjcjBeRqPnn3UHBxKG4QdAtjlZVxesgLTOpUlpXoD1L6GId71o7F+krWaLfpR6JJALexAScgl9ujhV3souVUDhJImGz18cdTf2PykFfbTa6QJ/Sf7YsIvWnQ2u8nJoYGQXodcrUcF4U8VrJuZoZsKCrZNwgSy+FlKeRMwLZQs9mglL0Zhk8uhQbk9TDnICVGndQZBMg/MZCHQs4sKw7LBfJbVmTlvxs3QABsOamXDE0hz2FZAWKpRgUo5LImtgbkKqtvdCErrSwvg4C80xl6TXLG2trQ8oMbN8YK5MePRwrITKBlhfnH77xzrNtq1DEF8n0U588Da7059NZjQJ7j0Ze8R+y1S7CsJPSrXi/HQ54HyJXFIa3KilxuRh/jQK7N+JnRhhQOKxUwgNvZgR+QBwTkW1vwA/JOBxWESpG8YdosO3xTadsp5MxDngbksnOGkFycVIccsANydgjHStYxxmU7Vw92fPV6MUN5zMXjY1kxKMxyAty9PQyTGF3LHroq1w5AzsoeWiZ19vvh8eEA5EFgUMjzArmlQs4G1fJ3nh5yIKKQqzd2wVa5aIV8YcF5gBCPrS1qYhIUclkH/aWXEN5cUZhtRVVF096MPk6dGpYXRLtN5+AEWFaCgHY/q7DyKvKPA1Mg31dx7hxwo08e8lotvIDkBHIlys3Ea1q5xSR4yBncWNbq29sjWKpUkG1ZkctNiMGA/qwmBoops7aWFSYcRhRyXyBvRIFcrocFkKtNHFVPMm5QzC4T9rM2Z5fUaaWQZ/jQGQCnKeQuEwPFgJwJ2S6qv8FeVqvRP5bUmQHk7DwznGPaBLjM9G4OLRnXEshdqqwwhVwm7Vosh4nT1SqtswUYd7sE8r5JjXk85JpCnsNDDhQE5GUo5I79iYfkQAXkly7RSitZf3TBKpAUPDkQU8gnAMgvX6b7FYCJmRxofZ3Om9OnQaOiixenQD6NyQ1Z+nD3+hbOnAldKgal2CWUYNrKr5CPbKZOWcs6QSFXXmP5o5Rg4xkby0pKX5nNIYdlhTkROh1UQiBXAGgxyAAiQD6IALlGa+ntNJvgx0TGZBlJCrkaTES/FAsnhdymjRyWlb09Yr9qFYlAbqOQs7zSBCuXOgUcqqwASAVaXyBXybgWpQFdkzpNgzVbhRyIJXZaKOTaXDyOCjnzkOcF8pwKubKsAE4AvLERYdsyPOSqc36hAfkYSh7KkAz+8ss40EB++jRdl1Ri59GjE6GQs0mBZELnFMinMakhgby2u4nbbw8/LMiyslkr0ENe9sRAKWAjv6eqT7jMophVZQVIbY/BaATIw2Ir1paV+LastHIq5P0IkANWgBYumlY7OmlExg3K6CGfbXHgzFC3Mz3ksnNZbcQmBnL1kLMKK4AXkLP+JFi51ClQUFIna1O+cfWQWyrkvV64jnNzdMynbFOmkGuG8uTQ7Nt5gNxDIfdJ6jQCuUdSZx6FXFZnmZsDiRg5yx4CMYWcdc4vJAeqeV8uXRqLf1z2oVIZkUIut90YQo53lPtwQhTy5WV6PXUKZFepVIBv+qax9mnUMQXyfRTnzxOQz2JrOJNsQZaVnW68ppVbuFZZUbZDSyCXE3RE61unesjlB7aebyDdQ24B5GkVW+p1e8sK46xOJzeQ13IAeaMBdUxcat6WmeRkKntYbTetYJqpyZGN6WJZsVHI9/aQWR2FPXgqwEOeppCrQ8LHQ55wjuWyrDgAORAK41J5TQHlnR3aDpUKDMSavRxXhVzzcXtaVra3MbxQjjipk4nQDhWSon2Ym8Nw4xWgkG9shDnVZVhWXnllCMMjDlkS8OWXIx3KeCJoG6ywygRYVoCIj3xpaSIU8gsX6PWWWwA8+ijNWp7zeN1vMQXyfRRzc8DssTnMYgvvelf4ocFL7RJM7Tt82AvI5XTprgq5qittAeSSZZQ/29C+xjMuJfIADaKZsu2qkMcGSkqQ9bCsiFYTjUYOIO8RkKv7uIViCuiWlSu1s5k3X5NlpTrTsLIRJfm/S7OsZFRHyVLId3fjjSavk5VC3miQpagAhZwd+iUBOWNwC1hkOZweQO6rkLM65A7eZOYhr9fp35gsKz4Kufza/LypQ34hVd71dff+mEIKswrIV1bGMmGOjOPHQ1G8XidQLUAhDwLaXouLoAvUzs7YLStARCE/enQiFPILF+h+e/IkgMceA+6/f9xdGnlMgXyfxff80CyONLfwlreEHxSkkG9vwxvItXlELMoeAqHK0mwOs69sl5EANhrvWSjkaUAORJRtiyorWTXNvSwrYQcVQ0sgT6mPG98f1d6erpC7eMjDH75cvdkdyFsttGaEE0ynKuQutpcsII/+IBZpCrm3ZSVhzgAF5Bb+fm+FPGN/S15vNuGnkLM3ycvQgNwCUjX7to9lpduljefrIZcNjTipc3aWDgsfD7ncFXNz8Tf+cTia+1+Ah/z6dVq/xUXQDWFtLeJfGX2w+YAKmhxoZ4cOv8VFDLfVGIH82DECX6aQr65m3oPLjgsXSL2v7WwAzz0HvO51Y+3POGIK5PssWkuzqO7tDFOkZZkQz2AqEMvYsQ8NyC0UciACqNHfZCzD2kMu/25hD0myrMi+2lZZsbKsWCjkpvKOSuRk87+bQwPybk4PeQghV8VxurGr9Hw9mDU4XJFmM8zDrdpVJGHqdrPJH05Y2l5MM3VqZQ8z+mLlIc84Ltg6JZwXbIyW8fSizKROWfGlTIVcNZtHIZeFyTOC7Tbm37CLwoBcGu09PORCRMp95wHyghXy1VUU4iFfXSU2rVQwFIPGrJArl0pBQC5vqYuLGFr+xgjk1Spw880xhTwIvO2qRcWFC8DZsxjOdTEF8mlMfMQNlZYlypKCwQXL2LEP5huWfQISBwq5gTxBIa/V6GLD4KYAhdzLspKkkFuWPYxaVjQgt+yH/GqlQ0CuWCIPkAOpMGRUyOVACR4KeaOhz9Rp20ZJCnluD3mSQq690YMdGwllD7VmLIFcXUYcFXIvy4rmJ0kO36ROJsJ7KMSaS8UXyGMTS7nGwkI+IJ+fR+EK+eqqe39MsbY2bFMljx8whVwC+aFDmAggB8i2wpI6gbHbVhSQP/YYfTAF8mlMfMRvfJaTayQFA3LPbGujQq6Ke+uh1YOONpKxjJkZJCrksg9eHnKpOsdgiSVjynVLCE0hz+Ehj9dbzwPkYo+AXDGZBaDJJFoJ5N1KA9cH4Z0z5RE1W3ZIj6rLwq5CSlwh97GsWHnIoz8wtKMp5OHJYvSQu1R9SUrqBNwtKykKueqSJZCzGTRLSurM4yHPZVnxVIjb7cimm521BvLtbVK3Z2biHXEPNUN9s0mqg6OHvEiFXIrXRQH56moEyOW9Z4xAfjx8CLi9jcKAXDL4pCjkAHDrrcDzz4dvpIF/jImd/T4NEG65BcDXvkaj0LNnx9afccUUyPdbxJ/fWt48k4I9lpUZLSmWBFMYgTwl0dSokFsCeZqHXP7dq8oK8zrwvnqVPex0ki0rHh5yVyBXM5+HE7AwILdI6uz16KfSQ96tt7E+yL4BSwVXCKiNq3bxoDH8kiGsFHIXy4oE4Fpt2C5iA0EbhTxWos+7DnlWUqf2xtwvdp4VaFmxPX9luFpWGPQ7AGLesoezs/BWiGdmYgq5Q5WVdjs8D4pSyJl/JTvK8JBLIF9ZAZ1kzWZuhVyVA5RAPkbLijY50MpKrplIgQTLyhjLHgLA7bcDL74YXrYmQCF/+WXazGfPAnj6aeDOO8OT59UVUyDfbxEH8pwKOfOQnzhBJBatO20R2pTYLkBuOaOmBruAcRlMbXRRyBOA3MWyYpXU6VH20AfI1e97PYjBAHsippBb9EGty/Y2OrU21vrZQM4Ox1BmVl3uVmhDuKjbcQ+5ZaUWpUjLyiWIidkuCvnuLrUR/iZ3UqfBQ26bgFlm2cNclpUSkzoLUcg9gZS5VBwtK6zCCuB9nVYKuXxjWfawTMuKukUsLORK6mQK+QRYVm66iV5feQUkUKk3/jFpHnKASigPBsALL2C4vceokL/4Ir2eOQMCcjXRyqsrpkC+36IkhVwBOUDT1jqEscpKCpBrM1dGG7FZRoEKeRaQeyvkOZI6NZ+wI5AzoA+X1a+7WVbY5tjeRq/exmo/O4lLU1ojZQuVwu1ShzxJIbctexizDQEeHnJJkiHYlzExEMt7KMiyws6DjP3NEi7zWFZK8JA3GvS0hynkOzuZT/KKAnK16fICuadCzsYfc3Njtay0WrQPVaqRg2JvCqNCPkYgZ2Ixm7rTP5iHfAKqrABD3n32WQxHIQVNguQTTz9Nr7ef7RCd33HH2PoyzpgC+X6LghVylqBWFJD7WFZcFPKUKi4MblyqrKQo5IWXPRwMMquktFoYfi+PQh6uf1Bv5gLybqON1Z6dZSWu7jNRO2WfONUht7WsxPaBWo4FSGtAHoZcn9KSOhP2Tb9P/5pNxEz+ehjrkGeUynQFcmZZ8VXILQBRiBgLW86aKRfRamEsCrni7yKBfMyWFYAcJUohzwnkmkJerY7VzmEE8gOokEsgf+YZ0DFx6FAky3P08eST5Cw8J56n+94UyKexLyKuROVUyGXi0fY2cgM5q7LiallxUcgTwEb+vUiFXLOsWJQ9VH00JXVarK9SuGWfPJI640A+aLh5yNnm2NpCrzGLtUF23WFTQqqmcNt6yOt1QAi1S2wUcqNlJQxj2cMUhVwdwjEgr1QiwGtZ9rCIpE5twBcE9h7ywSDVC+sD5K0WXT+2tkAr2Gi4AXmjofz9WcGgVKuDaA45F0+lguI85D4KeU4P+dycP5C3WuEmdrAIZUVRQL63R5uGKeRHjozVO8w88sxQ7h/r63Sot1rhm1Yr19whRcSxY3R8Pvts+MGZM2MH8nPngPoLUiqfWlamsR+iYIUciAimRSrkKRecwpI6i6yyUqBlJbMOefTLsQhzMHm99SIU8qabh1yzrDTb2EC2Qs4YODKpkepKyiBJU8jDdRUiMkGpZdnDvJaVNIUciJwzlgo5q0PumdTJDvuMWv8akMv1SAh1zGjT7iaHEHQ5UgzOyFEPrQ654zT2vkAOoBiF3KHKSpEeck0ht/SQb2xEVndzk5ZfrXr1IRoMyHN4yKVyzKqsjDGhM9oXppDnBHJpyxECBORjVscB6svtt4cKOUB1EJeXx9afJ58E7roLww5NFfJp7IuI3ozkY+scCjkQgYv5eXpz+bLT730tK7agqy0jRSFvNsGVYAuFPA6/0Sg8qdPCcqGEzwjAKcAqCsj7/VTFNA7kfR8gDwdmWlKmjbodG9QpIK9UqFM2Knus9CTLXciwIKUp5IA7kFsndaYAuVZSUn7fEK1WZAJcVqfRHKoCSka78WAMzuhcD00hd1BrGQv7AHkRZQ8dq6wU6SHf3AwdR3NzTkmdCsgdB0BpUZRCzqwcADU6Rv84QE8TFhdDIF9YoBO3AA+5YvAJAXKAmPepp8I3Y1TI9/YIyO++G2QmX1wc+3EwrkgFciHEfUKILwghloUQvy6EOBz529+U371paBG9GWleEb9QKpAQVHfowgWn3+eqslKCQu7qIc+yrHS7kc+LmBgo+mVDf1QbBSrkaMWAHEhVTE1AvoP41IV65FHI2TJjx5CtFUlT2SNALgR9bltlJU0hV64fyzrkWQq5FKbTnl4YFfIUIFe/sVTIbUA/HppCblv2cHu7dIWcMf/mJu0ER6uA5iHf3bUqC1s0kMsnZ65ALkuFczrPF0UBuUwMZQr5BICYmo5DiGEp4BzBElfX18de8lDGa15DM9Tv7YEU8qtXMwWsMuLRR+na/6Y3YVhh5VVY8hDIVsh/DcD/BeA+AE8B+EshxPnwb/7ztU/DP0xAXpRCDlBlflmDyDJGntQ5Qg+5sqww34Q50iYGsrWsMBU0oqi6AjmrxAFwIGeZvOaQOae1GoDtbQxaswhQQcAeQejBVtvkIXdJ6jQp5PKNh2UFiAyMXD3ksXNMcbNFHfJqNXQKpCR1ymXaWFZaLcQOFD1cgVyNOfIo5CmwKB/IMIXcAch9FXK1CE8g1TzkgNUst0UDuWxz4hTyHJYVCeSah3zMwdavgMmBNCCfEIX8Na+h8/LZZxHWGwRw6dLI+/E3obT7pjeBLCuvUrsKkA3kc0EQ/I8gCNaCIPhlAP8SwP8QQjwMIDllfxrlhVR5Nje1CUt8QwNyR4Xctexh7qTOjLKHGrilVJdQXc1K6pTLs5iQp1KBscKHzQAkaeAxM0OQ3KvaWWfiQC5mDAp5yjaPJ3UOWgQTg1Y7FUisFPIUmK7V+KRCMhiQp7SRltQpPy/UQ858MBntJDzZYadASsIt+7mFZUW16QLkGd70eDDlOgUWtUvVODzkHkCuKeSy4Ywo2kMu28TcHG3Mfj/zd5qHvCCF/PBhOq52dkCkubXlNXmO5iGfAMsKEJuwugAgX1+PAPmNGxMF5ADwxBMYAvkYfOSf/Sxw6hRw6qaw5OGrNKETyAZyIYRQR08QBH8O4PsB/DaAW8rs2DRSQmb5FKSQs5vO2bN0AbJQgWQUopBbAnlWQptWsSIIEksMSgu+lWVFNp5RZUV1qQTLCoDhbJcp/dAmtQFQaeezrAQzBCNBK71kIhuHmDzkGXaTOMzLYAyuNmZGvy6g0UoAACAASURBVNOA3GKmTisPeaVCowgbIO906PuxxDrjgMUwiHRN6lRtuiR1Ol5TmMc6JalTs7U5Ajlj/REDOfOQy4YzQgNyIbyv0xqQqzfpoVlWClTIgVDhlqQpy/k5BFPI9/ZonQ4gkE+qh/yuu+j1iSdAlhVg5D7ynR3gz/4MeNe7AHHhRbKDnT+f/cMDGllA/j4Ar41+EATBYwDeDuAPy+rUNDJCAnlZCjngpJLv7hJ0VOTRVJJlRU0Hn5AcBxiqrMgfG6LfJ+6xsqzI9my820FAjXtUWUl6EqCAPMguv2hSZb2BvNIH9vYUkA+a2UCepJBnWVbYGCZNIU8ZGBVhWQmCmPUmDcgz+qNtj4RjFogAeUKdem+F3MKi5GtZ0aqQJCjkWrqLY1Knmj5eLke2kRJFAXmvFx5XlvXPu136p/hX0rmnL9YI5Ba2Fc2yUqCHHAhtHRLIpdztECypUxLwBFhWjECe8pQ1LYKAtpNarQkC8rk54vAnn8RQIX/hhZH24cMfptPpPe/BsMLKFMjNEQTB/xsEwRcMn18IguB/La9b00iNghVyI5A7+Mi1ssUuZQ8dLCuszrky5vLQPOTy+4ZgXJ9VZUV+0cYqYoB7TZnNsKyYyh4CwE4/e4IiBoE5FfLmgA/6Bg1HII94yLMsK2kKOdv0KQq5ZlmJDbAUO6cAuTbeS0jqtO1PvOpMPDQPOWDcRi5JnWybZ+xv5u92vKawa4eLZcUxqZNNH+8wMVARHnK1KEn3Fsmk0W66Dj7iwYB8PrvSkQzNslKwQp4XyFdX6TBrtTA0bU+AQn7kCB1r3S4IyHd3vRNXd3boGnD4MOhE29iYGCAHyLbyxBOgY+PUqUjZlfIjCIBf+iVS6t/+dgyLok+BPD2EEK8ruyPTcAj5aLgghZypXB5AruW8uSjktRpJ6xYKuY0lRvOQyx8bglnRbS0rGUCelHSqwD7Du2z0kIdJnUAEyG0V8rDB6qwhqTNlECQF2jpo5UWTGuw3ZlJBSEvqNJU9TKmywuA1SSFP8fIXoZBru4+NBilsLTRsTGCjkKf4+40KeQGWFXbM5VHIS/SQLyxQG70e/Mseeirksi1by4qWw+k4+IgHE8UdFXJlWZlQhZxVWAEmAshlF1ZXkbsWuRxnHDmCIdRPIJAHAYA77xwpkH/iE8BXvgL8m38TPl1/9lk6aeR8KK/CyARyIcS3A3j/CPoyDduQj4bLUMhPnaKzI69CngLkLA9OVi+xUMhtgbzTCSuTWSrkRVpW0hRym7rrWR7y7b6jZSXcrrU5P4W8AVqOaEWA3EYhDwL1Jpxwc1hHPWV/MHj19JCrxNAEIM8qe6jZsxMUclsgz1LItScI6k1KvwpM6mSwXIRCbni8rzXrCORMGG406OmYq2XFA4pZYRVLIDcq5DmA3Mey0unQ8TLpCrkG5BNiWQHCLh0/Tm+KAHLps5+QsocAqdM3boRzAd5110iB/H3vA26+GfhH/yj84NlnSR1/lZY8BLLrkP/PAH4RwPeNpjvTsIoyPeS1GkG5o4ec3b9dqqwAqTYG4zJSgFxTY+WPDcGsCTZVVnJaVrpdIKjbKeTMlhAF8m52PfQkIO90YhPF2AC5oP9UGrTcngWQ1+vRBhq8YmQGTFsp5Bme7SSoR3TxKdVR2EBNFoBOqkMuv2ij+hv6I9sCsv3etonNWpsZVXVYwmVehVwVzDYvY2YG9B1H1VgyzMYGhlOEjshDLtuaCMuKJZBL9jt0CLS9Cy57CBSjkLNJgYCJUsiLmK2TAbn0XE2YQg6EtpU776QOv/JK6cu9dAn49KeBf/7PI5ewZ555VdtVgGyF/AMAfiAIgvL30DTso8wqK4BzLXKNV1wsK4BVvXAXhVx+P0shd7asWJQ9VJMCxdqS/+1W7DzkcYVccVon9M47KuT1+dbwrUtSZ2hZqbQkkFuWPYwZsdWYy1Mhd7GsqDZiteDlTzsdDHMQDO0YlegiFHLbpE71xqJfBSjkbBU9FfIgwBD4DLDIoF/+wDGpE4j5yFPAuNMhe0uhQO7gXZddVB+MWCGXQL64iOH2Vv6VfDE3R6fOygqGErenQs5qkAMToZCzAUdOIGeTH7FR0mQEA/LXhc7kRx8tfbkf+Qi9vuc94QeDAc1SNAXy1Pj3AD4ghMgnwU6j2ChBIe/1IoUdPIBc3b9lhYgUIK/V6JUpzwVaVuRXbBVyJ8uKTdlDg4dc/lcBeUq5PbUeJg+5nBzIBcirVbTmasPfW1Td0IC8GQJ5zdKyEtsGCqgzKqRYe8htATgJyFPaYV1POMeKtKy4JnWyCjwFTAxktKw41CGX5UPTlsOgXwKth2XFFsjZIoKg2KROVyDP6SHPrZDL7xbkIReCoHV1NexctZrfQ76yQsdcjicJRQVTyG+6id4UaVmZICA/dYp24RNPAHjgAfrwy18ufbmf/jRhxmtlDb/Ll+kiMgXy5AiC4P8GqeQfLnKhQogjQohPCCGeDl8PJ3yvL4R4NPz3kSL7sK9DJnXKK3/Oi5h2Hz1zhp4pWUw+ARhgGUi9oQsRA10fy0pCFRcXhdy2ykq3GyqAtmUPEywrANAV6VVSMqusyOnaE37f79OYiAF5HOgtSk2qmToDWpdqCOTdDCBXUB2bvEnt4kaDOmk4tqw95BlQb2VZ0d4Mgx3CGUCujgtbIC86qdNGIW826aSzSerMqN4SD9ukR7YZNWLNDmZZkb+1APJ2G7SCg0EuhXxnBzEyTo6iFfJWi3bfpAA5EJnNUgiSufNaVq5fJxKeAP8wA/JGgzp5QIFciEillcOHgXPnRgLkjzwCPPRQZHfLCiuv4kmBAIukziAIPgTykRcZPwngU0EQ3AHgU+F7U+wEQfD68N/3FtyH/RsyqVPenXI+itRmhD5zhojs5Zetfs+qrFjO9MdYKAN0AXcPuQIR9UYPG8uKhKleL7ufaR5y+d89pCvkSZYVNo9NBgBG+y03nKawyw4nhFqFgBqszlCDaUDO6nenKeQJyy5CIc8CcrbpErajUSGPAarcnqpii6diL7sBOFpWMsCZNSMnpSkpqVO1kQLkrFkPINcUcjZ1px4MyHMA6SR4yJllPsUWFI2RATngBeRBYADyCbCrAHSs1WqxWuSW98J4rK5SW3NzmEggByJADgAPPwx87nNhVYRy4pVXqNz5gw9GPpzWIAdgWfYwCIJPFbzcdwP4YPj/DwL4uwW3f7BjdpZuyGtrw6t1jmCPZQHnaXSNCnlKHXL5Z++kzpSkUR+FPMtDDvnnESjkRltCvHRgikJeOJCHlpVqK6KQJzyy10oOYrgslSaQUW4wr4e8CMuKrUIORFR/myRTG4Xc1UNucx7I/pcA5AxYUywrY1XI5ffyAnm9Tv9GbFmRbW1ugo61RsMNyD22d1ZoQC7N0paxuUnMxywrE5DQCQwtOWr9cszWubJC6ygEJhrIL1wID5N3vIPW9StfKW15suk3vCHy4bPP0sjl7NnSlrsfwrYO+Q8KIebD//+MEOIPhRAP5Fju8SAIrgBA+Hos4XstIcQjQogvCCFSoV0I8aPhdx95ZQRZwmMNeWF9+WW6yeR8zGe0rAD5gNxFIS8rqbOgKivqu64KeawOOQB0BmHddU+FPKtSiRWQK7k+G8iVZSUE8r3qDP3OoKCwZRsUcrZPPBXyIEAuhZyxfE4PORABcpsBgguQG6B2b49O9Vot/HK9Hpkel4d26Kco5FodciG08yApbBVy9qBBK9SdHa4ecsagEl49gFQTKyyquxRtWdEWm1LvXcakK+Rslk5gaFmZkFhaiqzf8eO5gJzN0lmr5S7CUHTIxM6nngLwXd9Fb/7sz0pbnqysePfdkQ+feILsMjLB7FUaVkAO4P8MgmBDCPHNAL4LpGr/WtoPhBCfFEI8bvj3bof+nQ2C4EEA/wDArwghEp9nBEHw60EQPBgEwYM3yUSMgxrywnrlSiGZ80bLCuAE5IpXYspoUmiWlTKSOguosqKU7S4yq6xoSZ0GhVxZHDI85PFKJVo5xwwgV4s2ATmrQ2iOOJDXZqjBTjXZ48xANvakxMayoinkkX3cakVmlLdJDJVmesP+tE3qLEohty17aJPUKe3gWZWMNCB3UciladkibD3kLKkzh2XFSyEvwLKiNp1WkkoPltrT69F+z5nnI9OG1BtLIF9YwP4B8gmxrADUFWZZyVFlRa3WjRs0QpoAn3w0WKWVY8fIS/Knf1ra8p56ig5FWeIdAPD448C995a2zP0StkAuM7C+B8CvBUHwxwBSPQlBEHx7EAT3Gv79MYCXhRAnASB8NR7tQRBcDl+fA/AZAN9k2d+DHfIqtrxcCJBrKtCRI/ThKBXygoHcRSF3sqykVDexsqxktLO7S99VE9uEPy7UsgI4A7lSyCtxQtF/Y1LIWVJntKOx3zcaGJJ3zLIC2D0hYJaZHJYVG4U8q+pNmuofX7csy4qaeEq+SVHaKhVarguQK4XcQcFjx1WGZaVWCwUwDyCv16l51yorhXrILZYL0J+lu8Wnoowp2GLn5zOncl9fp9/UaigFyA8fpn3R68ELyKXDZXER9NhrgiwrQEwhP3aM6FyVIbMPaVkBQDtlwuwqAOVRVirAk0+GH7zzncAXv1haPfKnnqKS52pcsrtLlpUpkFsD+SUhxP8D4IcAfEwI0XT4rSk+AuCHw///MIA/jn9BCHE4XA6EEEcBvBXAN3Is8+CEHHK/8EKhQK7uo0KQSj4qIC8rqdOlyooiUP7ILJdlxZDUmaWQM2F4b4+ulNVqsZYVudIWVVaqfWpQKuR71WToMlpWwo47KeSGpyy2AxJlWckB5GzxKXXIAUeFPOG4rVSozzZVVtixkQHObJzbTq4fr9UhdwBylyorbJZOwBlS5+dHD+T1OlX1U6tkqZAzu4rsb47wsawo9itJIQdCDvfwkDOFfGuLTpQJU8gZkAdBRDK3D82yMoFA3moBt90WSex85ztpfT/2sVKWJ4FcxRNPkAhzzz2lLG8/hS1U/xCAjwN4RxAEawCOAPg/ciz3FwB8hxDiaQDfEb6HEOJBIcR/Cb/zWgCPCCG+CuDPAfxCEARTIAeGZ/jmZiGqgvZYFiAgv3jR6ve5q6yMSSFnSqikwdjjRE3ZTgBBOUFhXoU8aWZHNo9N3iorSF8X1U9ELCttanBPOAK5g0KuVteQGMzGVhmlE9kTjywgT5kYqHAPeYJlRbZnk9SpzgEml5uDnVYulhXLGuSAm2VFbUJPSF1YMFhWgsD4XaOH3ANIhaB+uyrkGpDntKxMKpCvrAA4epQOooyBSjQYkEvQnSCFXLOsAF6VVvYDkAOxSisPPEBz2n/0o4Uvp9+nBNJz5yIfPv44vU4VcqQ66IUQjwD4KwB/BuBjQRDsAioR84rvQoMguA7g7YbPHwHwI+H/Pw/gPt9lHOiIKgkF+OU1ywpAQP7JT2b+djAgzlCgYDlZkUtSJ4NdwH1iINsqK4ZENs2yIu0UMSW916N+Zk0MZKOQM4Azlf5rNBLhSlv03h5w6JAXkFergOhxD7kq25igcAPhNvPwkGvqtkEhZwMt2clYG7OzSFTI2Vhm1B7yjOOWrVtCUqerQq4288xMosKnJXX6WlaMI/vhR2oTeiR1AgaFfDBI3A5FKeSyDbVKs7OZdhFWVKUMy8rcHHDtWur3GfsVNCiIhgbkAPXJskoGA/ILoRQ9QUC+tES7bncXaHnO1tnr0fHKgPy224rtaEHxmtcAn/oUnVKVigC+8zvJRx4EhXreX3qJoFymqQEgIK/XgTvuKGw5+zWyFPKHAfwRgL8D4LNCiI8JIf53IcSd6T+bRqkhL4Dx/3uG0fopM8sTFCgZWjlky7Jp9bp9Uqf8nvPEQLUaAZttlZUUIFeWFbn8WLDVzrKspMCwVem/ESnk9fpwXVyA3LcOeZpCrllWogs09TvFsqImesrhIWfOkoz9YQvke3swmL95v5iHvECFXNpmbEA/GsayhwkKuWZZcQRETSGPthWLooF8EiwrShT3Ucjb7cSKPD6RCOSWIYH80CEMB4oTZlkBwvWT2YeOQC7XkXnIZf3OCYu77qJz9MKF8IOHHhoWDC8w5EP306cjH37hC8D991tXdjrIkTVTZy8Igs8EQfCTQRA8BOCfAdgA8B+EEH8rhHj/SHo5DR7z88ObcQEKuVHYuukmogklSZlD429fhTwFyLVlpNQh11wqKeCpVVkxXBA0q0n0h4a2sjzkqlqLo2WFrYpHUqdWTc8RyCvNOiqVCJBnVVlJ8pC7wHSah1y90ftgGhDIYIvPmBio8DrkNpYV7c0wNCB38ZBnAPnMTCiE5VHIKxXqYIKHnFlWZmacAVFTyGVbhpBdYBMReSrEjMH3q2WlQLsKUAyQywl4JtGyIruysoKhZcURyNksncBEW1bkfDzPPRd+8NBD9PrFLxa6HA3I9/YIyN/2tkKXs1/Dtg75g0KIPwTwpwB+HMDdAFoAPlRi36aRFhJGCnjMYxS2LC9CWs6bpUJuTOpMUOO1Jm095PID2yorWZaVFJhkTwqygDxDIWeKahKQ51XIM0o4KldOZF3qdWAXyYmyaVVWVJdtLCs2HvLoyprasAHyAqqspHnI2cylgwG9ybKsaG94v5hlpSCFnDF4nqRO+UGCZYUp5B6KsatCrkThnAox85CPOakzCHBggFyVPFyZPMuKXL/r10EdrdWcgVzmuR45AtpxsuzhBIb0dCsgv/deupA++mihy9GA/EtfomvZFMgB2Cd1/g6A/wrg+wG8M/z33aHPexrjCFnA/4E88zNRGC0rEsgzSh8VppCrItMZy8gAGxeFvAzLSpKH3FYhz2tZ0XIZQ8CSTghnhTyyLvW6g2UlyUOeom47e8jTSifmAHJNIVf1+oahAXmvp02WxPaFfJNy3DJ4LkAh19rMUMht242GnJtINc3odRhaUqcnkNsq5Gy2+pxAqnnIXRTyAj3kMpdGFSVPmd68bCCXMO0L5KursRrkwERZVphCLoRXLXI5zjh8GMOpSScUyM+coUucAvJ6neohqlqIxcTFi3R5UWOvz32OXr/5mwtdzn4N22mRXgmC4COl9mQabvHhD9Po8nziXEnWUavR+WcE8oyLEKthDDgp5JJRmPxpgGLj7JUJYCPZSfFehkIeVhVMtBN4WVY2LRTylKTMzKTOOXfLChBjsmYz1Y4Ut6wohTywTOo0eMjZoCYGwkHg4SG3KZ2YQyGv1RCTdoeh1SEHtIEiA3LDOsXbs1HIFVdZJnUqRTkDyH0VciHsPNY7O5F0FylfO4arZaVIIFdltsekkMvub20BM/LN9rZxvbpd2t5lAnm1Su2vrmI4N3wehXxuLvHcGEcwhRzIBeRHjmB44E4okFerwK23UjlwFXfdFSm9UkxcvEjquMoT/dznSI2foKcj4wxbhfzfCSH+ixDi7wsh3iP/ldqzaaRHqwV8y7cU1pwmbElvuqVlJZdCnlGekC3Doqwi45kMD7m6B9hWWZE/TOtjStnDNBCUy7HykDtaVgADkDt4yF2A3OQhbzTChyBV8+9lBUMnD7mNZSVh5tUshbzZDG8aTD4ehqaQG/pjfGJga1kxwLM2MZCrZWV312gLY+q1I5AD9kBehGVlby/crhlAvrkZWUQBQM485HL2zYQoy0OumpPrkmBbkbN0siorOQcEplC1uqtVeuML5NevTxyQMUsOQEDuWPaQWVa0nTJ5ce5cRCEHqPTKs89GlLP8IYEcAJ1Hf/VXU7tKJGyB/J8CeD2AdwB4V/jvnWV1ahqjD01A8wVyHw95Su1lrUkLIGeP6jMUctVMTsuKU1JnXg+5bZWVXo/+hf0uAsh3Bo5JnRGFHAA6MMMr22QpHvIsy0pWUif7aYpCrn7mAuSx7Zk2QDG1l/VUR6tD7prUqTrMQ7OsONQhl00zy0rCYCKvZUXOgbaxASvLimLwnECu1SEHUlVyZpcp0LIi23YG8hIUciA2ec7Ro/mAfILsKgBt70Yjsn7HjzsDObOs7AMgP38+BuR33UUX5gIrrTAg/8pX6NicArkKW8vK/UEQTGuCH+DQcrGaTZKkfDzkcnq7lDACeQIglqWQM/i1qbLSdlTIPT3kClzyVlmJ1aR0AfKkpM6dwDKp0+AhB4COaKJt+L0RyJMU8kP5kzrTtiMbqCUAOXuos+SgkBdVZcUnqTNhffIkdQKeCrksJecQsmLcxgawlAHGmkKeo9wcuzZK0t7aihDlMAaDWB3yra1h9ZkcEV0sH5nose+AfGVl4hRyIWKTA918M3D5sizUbdXGykqkksw+APJz56jPat/ceiv94cKFQopHDAbApUsRIJf+8QKf9O/3sFXIvyCEuLvUnkxjrGHMxTp8OHNKZGOVFYsbem7LSorf0EZtBDwsKyneZcaQBruEl0Ke5CGXCrnBfsAgMDZa0oA85bE7A9vQaM8UchvLihBqYKY2XUJSKANyA0zbesg1Zd/TQ84sPwYgFyLyJCZBsXexrNg81fEpe8gmBgKySxJ6ADk7rlKAvCiF/MYNuCnkOS0bmmUlZblyOzAgb7dzT65ykBTywYD6OMkKOUBjBLV+p07RNcVh0KHN0glMPJADEZVcTvKkipPni6tXaRMyIL/9dhrsTAOAPZB/M4BHhRBPCiEeE0J8TQjxWJkdm8Zow/ik+fDhSDaTOYwKeYZ/HMhhWcl49C+/Z6uQZ1lWtLrV6k1KH7tdgtiIklJ4HfIgMFalcQJyW8tK2Pl6HdjuOyR1KiN2ZMw1cLCsRPaxbdlDpzrkcj/EBjY2CjkQKYaSYVlJU+yj6+dUZcUyqZNZSeT6xIKtouPEQEAMWG0sK55JnVGFfGwecq3OIw8th5PJ5f5xkIB8Y4NOOTVhzgR6yIGYQn7qFL1eumT9+9XV/QXkWi3yU6fo+l0QkLOSh0FA/vGpOs7C1rLyjlJ7MY2xh7F8sIVCrlVZSahKEQ+jQm5jWdn18JAneP80NdoAXrZJnZqHPAb33gp5EpDLv8eWw7hvlQN5qxXhF08gd1LII31XXQ7qxt/bKuRpinQQUHKodZUV2U6vx7ajjYcciEB0GUmdaUAeBO6WlZRp7ZUoLtv1UMiVe8KgkAdBcUmdQKiQy30yIg95p0PHVtVCmQdiCnnRQH5rOpCzaen7fdrBJQD54cME5IMBULnpJrI3Wlg65C1lcRH0/dXViQTypaVI1ZEokH/TN1n9fr8p5LfdRq9qnZtN4MSJwoH81KnwzfXrwBveUEjbByWsFPIgCF40/Su7c9MYXRiFrcVFa8sK86A6KORBADeFfEKrrGQBuQaCNnXIY2UgmWVFNab/Xi3PoJDbbBcgBch7YX+ykjoNCakAsNcRxicEWfBqU2UlbWIiGZpCbmiHjSVyALnRU2+b1GkAZ8XgcjmWSZ1BADuFPJZzYBtZHvJul/pQqGWlUqFljUghB8JNl+FdNwJ5zgor0fZsFHJWbq+gsoumOHKEeHpjA8DJkzSwVZJycrABw/o6NTKBlpW8CvnKSuQpwPo62fdK2A9FxcICPehgiZ1nzxYG5Jcv0+upUwAeCw0W999fSNsHJfymLpvGgQuj9dPBQ+6qkNfrQ0Wz1KTOjCortkmdWVVWNFtNDARljquyrOTxkGfU4QbCVdnVFXINyBNmR00C8m5PxOiR/wYwK+Rs0xkGA1kKuZaMaVh/G4uIDZAz8dkGyG085C6WFcMx2+vRudJsIjYLVXLIbu/twQ7ILSskxSPLssKeoknFNodCzmbrNAB5EESYv9+nDhQA5NvbiGVX6iH7JgcP47CsrKzQ9WZhIfKdkiwrQHiLOHmS3ly5kvk7BuSSeCdQIWeWnBMnaBCYx7KysJA7l6Ds0CqtnD49lLZzxqVLdFweOwbgq1+lD++b1gqJxhTIpwEgJanT1UPuoJADMdAtUCFXrJahkNuWPcyrkAsRAq1sJyEpM8tDngaS8qN6PbzuZwG5WjE9VJWViGTP+u9rWemYf5/lIZczjdoo5GlArpU9NLTjopDv7CBzgGCb1Nnvh2kBBiBnP7cEZ8bgKUCuLCueQG5M6owc22xqghxlAJlCLpdlAONOh7bj3ByGfy8KyDMUcg3IC7asbG/DCsgXF8NrwAiAfGUF/kAuiXcCgXxpiU6JnR3QxfD4cWsgDwKDZWWC7Soyzp2LTQ508qRzucekuHSJmqtWQUB+6637YpuMMqZAPg0AdME3Avn2dmo1Dq3KioOHHAibLtOyklMhZ3XIU5RpLakzoS1WrcUAw1qfkuqQq06l/D5mQTACecJghSnkYYO2QK5APs1y4gnTzop0gnUoDeydFfKCPORA2F4WkFucA1qbCUAu/d1MIXcs0adZVgYDti3YNUJ+0XOmTiBbIWcujQKAlBWocVXIC7KsMMt8o0EnWQKQM2V2VEB+4gS98VXIJ9SyAsRsK5ZAvrVF1zRmWclRenNUce4cOVTUrenECTqgUuyNtnH5cqSgymOPTe0qhpgC+TQA0PVau77Lq0mKbWV3l0a8tVrkA1+FPOGkl/dwr4mBylDIE0rlqW5lAXkGUKufZiV1JkAxK9kH5AdyB4VcqfMJlhUnhdwA5HkVci8PecIA0wnILSwrQASeu93h9KWIja0KVMh7PeLnwhRyQ3lFZlnJ4WmuVoltlUKeAeRMIc9Z9hCw85DLa6gC8hs3CgExZpkXIuGCTcGU2VEr5C+9lPm7/WJZkV3yAXI2SyewbxTy8+fpsrO8HH4gB1oFqOSXLoX+8Z0d4KmnpkBuiCmQTwMA3Wc2N2MuClkoNgPI2f3bUSHvdpGpkO/sREr5WtYhd1bIDRVLAFpmrZZtWdndpZumUocN/dMU8gQfdpplpdcDBnVLhbwsIE/Yppo6n+YBz/KQV6va5FJZAxIjkKcl147IQ55kw4m3pVbJkFNhVMgtkjqBdIWc2UlyeMh3dwnsTdVc2DJyAvLCQrZCLhm0KIU8l4d8Y6Mwx9dWQQAAIABJREFUZZSt7qQB+ewsrbSFQr66StfVhQXEMlAnK7TJqh2AXFutfQLksha5sq3ICbwsBlpZoYD88cfpYvG61+Vu86DFFMinAYCu14NBjHEsFHKNv30U8oykzu3t2OyVgJuHfDAw1uzWFPIEyK/Xs5V82ZYQ8FbIZTcbDdDIKEFl7op8CnkQpK8L4K+Qpw0m1OIMVWY0hdywf9V+tbGsdLtGqDcCucH73WiApKJuN3cdci/LCsCg1ught0zqTFPIiwBy2XQS+DPLSgFA7qSQFw3kjQYdUxlArhZ340aEzvOFBuQJM3Wy6h5sdFJsyGWoxMeTJ62A/Pp1+m21Gr4RItLhyQnJokocPnWK7oWGPIx4yG3CLCv7CMhVYqdUyHMC+dYWbYJphZX0mAL5NAAk5AnJq0lKYmdehdwmqZPNI+LjIU9o28ZDLvva7WIogScAuVrtlIotaSDIoLTfJ3JOA3IPhTwIstV+IJLU6QDkmrpv8JBbWVYSnjAoKxIz9ru14aSQM1rVo0jLCjsFDMesT1KnjUJuzM/wUMiBEFgNy2GWlRxJnQCxbRaQl6qQC5GQcEOxsUGgqaot7e2Vo5DPz9t5yOXGKgEGWy3a3a5Afu0aldcDQLXLjxzRBs6TEEYgB6xUcjlHklrPfQLkp07RJapoIJclD2++GZTQOTs7pP9pqJgC+TQAZAC5q2Wl4Cor2kyCQCqQax7y6O8iYeMhByIgKttLsKzY+NHTYDgL4BTUCn/LivrYViGPNGjrIdc7YrCsZCVAGvavWmzCwCit7GK8H1Ye8pxA7lqHHLAEcsukzlEr5EnLMSrknomOzLLC3gyjaIVcW6WU+ucbG8TKQsDgX8kXNpaVfp/0Ew3IS0ooPHIkcnvwBXLpDZmwOHSIzl0F5GfO0KtFXW7pOz96FKSC3LixL4C8UqEJgpRl5dgxei0IyE+dAgH5ffdlTiD1aozpFpkGgAQgt/SQM17RCN0cjGFkVmiKZUXdvy0e17dakZy4AhRyZVmRy/WEe81DngZwKbW4O/C3rKiP81pWHD3kznXIExRy9bMUqM9qQ303wfqi9qVWQohHaVVWmAdk2Cf1c5+kTlk3Mq1GeA4POWCpkOe0rDCFnPlXhlGqQi4bTknqZP5x2c8Cgo0DEoB8fT02Lb2cIbKgQUE8WK1uCeQJcxvIuHYtksPJ6HyyQghSyRWQS0X3+eczfysV8qUl0AnQ6+0LIAdoNZVC3mjQSuQEcvlQ4dTNwbTCSkpMgXwaAApSyFkNtfTQGCYl+dII5CnLYJb0AhRyZVmRbxIUcrUdspI6cyrke4G/ZUV97AHkKrk1YWIgGw+5Uqazqqykechlgx6WlWqVbrRp1VpcFPKdHXjvz3hbqomCFHKtGcOkPcxBUiSQG6qsFJ7UubBAF6xINRqgZA+5/CBFIWf+cWCkCrmWTCg97CWpkRqQb28nettlXL++PxRyIAbkp0/TBcQSyOfnw9NdDor2CZCfP08KuRpXnThRHJAPlukRzhTIjTEF8mkAGN4f2TW+0aCbjy2QyzmyXRVyIBHygFhS584O/TjlBpMFNzJY8t5gYG9ZSSh7mFch1xRewAy1rpaVsC+FKuQ2QB4BRmZZsYHpBMuK2o1ZtpcEIBfC4OUfhYd8b49GNAnHbVZSJ3sw5KOQyw8SgLzdtm83dTklJ3VqCjmggSlTyIsueyjbSvGQl6WQ2wC5Vm6voLKLSaEBOZBqWwmC/WNZAWJAXqvRVPJsKktzsEHHPgPyc+fosGGzlBZgWZmbA+afDxM6pxVWjDEF8mkASJn87dAh42NhGSyHMwNgoqExTIINQjbLFPKM9pkl3UYhZ14RPWwsK9rApEQP+W4QpVseGpC3Wmq6ZhcgLySp09eyErO7RNtglhUP24v8aVEe8l4P6Alzkqm2PzPyHoBsD7lL8qXWTLttB+QeEwOptkpO6tQUckC7PmkTA1WrzusUDVk9yVYhZzXIgbEo5KOakMYVyLe36TA7ehQkgly/vn+AHCCDtaVCrmw5+xDIgci4Q9sIydHrmXf/iy+GFvyvfpU+mAK5MaZAPg0AGUAuLyiGYCDqoLBphTJsLSsWVVyyEuSAoSiuSuRFOxULZlnJ6SFPA8EsD/nQsuKgkEe21UiTOmNQLSeOUuvvoZCzhygpbajtl7I/k/aDnCjHViEHgL1eWF4xYYBVqyFxkBFvy6nKiktSp/ygBMsKW45NHXIhvAF5fn5YvESBZuz6xBh8c5MubuGg1CeEoL7beMjLVsjVYiWQx/zaRstKiSDIgFxWIZEZfIZg1UfW1uhCPKEecoBY9OrVsMY+QLRqAeRMIZePLSawtKMpzp+nV1cgHwyAt72NnD0f/Sj/23PPhaD/1a/Sf0rKadjvMQXyaQAoCMjzKuQ2lhULhdwGPLWZNYHcVVayPOQK7PMq5IN0hVytRhqQJ5ReBOjCqhw8MYW814NdUmdsG0gGK0whN9hebJI6gXQgZ5s943hmuZcJ/VEzlyb44mV4AbmrQm4Aclb0pKSkTtbs1haRpScgM1E8RSFXi5BAnjPa7RiQJyjkbHFlK+QyZycSRiAvUSE/fJj2784OhkB+8WLi99nEnJLOJ1wh7/cjg47bbiM4Tdj/MphCPsGTH5nittvolU0OtLWVuc5/8RfAX/813Tt+/ueHnwcBAfn586CEzqk6nhhTIJ8GgHxAzmAZ8PeQ21hWHBTyNA85Ay8LhXwUVVZsPeQKyEtSyNnmMAB50LRM6owB6P/P3ptHSXLVd77fm0tlVlXW0rX1ol6l1tbaWmhDyGAs9sXsjLAZsOFg2Tzw2Ayex7yZZ/s8xu/Mm+PBHmPhAezBjG1sPLbhmWMw2zNi0YIk0IKE1OpV6lbvVd1VlVm5Z7w/fnFvxo0l48aSlV3Vv885dbIyKjPiRmRW5je+8f39rtKsPnETk3hHWIY8dmQlaEZMQ4dcneAERV88d4LXVa/DpfR9xhWxqFNzyF3ObhqRFa2OMyCyoso+pFqOidSWy8voOr8uQa6J4n4IctPISh8c8kbDPikO+MD2mLGrkCEHbM05Nkbb6iHINYf8zBm6c4ELcsBhEEu1GuKSazl5eRayRgT56Cjtt+aQA6Eu+b/8C/2P/+7vkjB/5hlaPj9P/wpXbF0B9u/ngs4esCBnAHQFr0eQj4+HCnL1/Z3EIQ8p6tQE+SAd8oAuKyYTA6WVIa92kkVWenUGkcOX43ULcgDoDBkWdboEqDp0YUWdCTPk6iQrLYc84AQwTJBrQ+iHQx4inGWnQ5MuK0qQ5/ORJ2nRUioBDrn6l00oyKXYXVxEqEMOIDVBrrnTppEVOa6Upq2X+1SpIFCQLyzQ49T7rs8T0kiNqer+t26NLsgv4MjK1q10e/SoveDyy+l2//7A5zQa9D7wOORrJLICkJsdVZDfdx+Z3x/4AN3/ylfoVq7n+syTZJ+zIA+EBTkDgL6DR0Z8OlaFOOSaPg4RME7kF4YWBfFxyC0remQlrEAOiOaQm3RZiTQxUMIMeVhkJZJD7rMvoYI8F1LUaVm+gtw4shIzQ24aWVGb93kdEjnkPidYpoLc9z3rELUeh1xWGoagafAAQS6Eow95xLgK4IqsZLP0ArjaHqrVrqwkEuRyaoRegrwfDrk2U32AQ95o0I/mkI+MdAsoEuIryF0f2AsLLiN2NR1yIJogXwORlR076Pa55+wFV1xBt/v2BT5HmxQIoIMzMZHa+2A1uPRSV2QF6CnILQv44Q+Bl7yE3gJ793Zz5D/9Kd1esfwj+uXGG/sz6HUAC3JGMTlJdTYaBl1WNPcLMPoCNI2sSCESu6gzxCE36REdK7LSxz7ktWaW7M80Iis+62i16NavywoAtHMFcjrkAx3bViLeNXY5fi2y4ihIM3XItRlYk0ZWfI5BlAy554pDgsiKaZcV5ZAbxkrCBHmlQv9bQsB4DgG/bQAODe7ajuczIuYsnUDX7DV2yBM68pKxMYf2LZXo9VRn6YQ0qzWHPMXiNU2Qy/X6RFaUEdtu099XW5D3mFr+7Fn66JqcxJpwyLdsoc9BJcjHx6mbTFRBvkbiKpJLL6WrAo0GjAT5qVP0Vtuzh+7//M8D999Px+LHP6Z/mbkjD9HJlzzLYTywIGcUgYK8UvGIL4D0lKb5IkzCYRpZkV/ysYs6QxzyvhV1mkRWYmbIg2Ifch2aKxtW1BnmkLu6rABAOx98TLWTCZdo1CIrgPaeajbpizqTQc8MebttzwMTsw+5/Huj4dghH0GeeoY8xCGXRa9B79lajR6TyyGSk62d5wY45FpL0RgOeS5HhzJI+GurTSiQNYdcfs6sgkOuCXIphl3utLyrNqflV5JjGllR2k/+bRUiK5ogP3HCc7IiOX6c9F02C3rcxESsk8DVIpulXVKCHACuuqobkPZBm6UTIFW6xgT57t30/X7wIIC5OVrYQ5DLSP3OnXT7xjeSZ/P1r5Mg37sXEA8/BNx6a6KOR+sdFuSMYsOGAEEO+LrkUpd6HHKDL1zTPuRaxhWIXtRp4kanIMhNHPJexYTyaWpMYYI8IMtu7JDLfY2RIW9lg49prysOnqiI4/layqeHQ66elkYf8kyG1KRPZGVoCKGzwqYpyOX66nXQmLJZj0OuUioG65KYRFai1GcE4Sl67OWQJxDk8uPo/HnQ66fNFOSziVUU5HIYypBOOS4SWZDLqOFqO+SWFTiRzPHj5DoDIEEue5dfwOzY4RLkV15JDrmr5aREi+UAdHCUOl8byJj3Y4+BPlCnpnoK8iNH6FbWvN58M514/d3fAY8+Crz8iuOUXbnjjr6Oe63DgpxRTE76TMqpXSPW8RiISR1yH0EutxF7YqAAhzxKUadJZCVNh9xIkAc45Nq5QC9BLoRrxiN9HQCQz1nkYvtFVtRA9PEPDcGlaruoIfvsvybIe2TIe+2/54TGJILkEtIeh1y1B/FikiHX9qlHZEWuT3OzXYJc6/d/ATnkgEuQh0VWUhDk6uNofNzXIe+rINdavXSRZoZ08QfukHvOENKnVKJzR02QA4E5ck2QHz++JgT5rl2uyTmvuoq+KGXkxoXW2hFYk5GVq6+mj6tHH7UXhPQil4JcplEyi+fw1ZF34G3/+F4UV+bxCyU7UP6mN/VtzOsBFuSMwjeyEjD5BtBDkBt84XrSAgFC1xNZSSlDHtsh9xFeMk5dKMA141DAemRxT8CYtMiKY0xJHXLtREUu6CHIhzItbQxJHXJPZMXxfI+b3MMh7+VIq3EGnBTJcQQJcu1cIsQxNulDHsUh1y4SuU5Qtacndcgdzp5WY5nQITeKrCQs6sznaVvqc8pHkFcqtl61rFV1yOVHpBLkKTvk8sQpSJBblitDLo9LHyMrQrgmBwoR5CdOuBxydefC5eqraajqPXfllXQbkCP3RFbWoCDP54Frr7UdciBUkB8+TPFw9a/98Y/jpsP/gHfjC3i8dAeu/udPUEGsDJkzvrAgZxRRIyuetuMRIisegzbAIfdEVqJmyHM5cjgTOORhXVa0mcx7rEutRwaGIzrkWtLDR5B6zgVcglw2wOjVyxvoRruHhL4vcpeaAYJcm90T8O1DbhxZCciQa/sfEFnJZhHqkAd1a/E45D3eayaRlSgiWvsXKBY9XVbU05M45LIDjo1WY5nAIddanPexqBMgwas55D4zdY6Ogvaz1UpNkNfr9ntMCnLXZ6LHIdfUcXLkx+rKCnwF+coKjXE1IysAbU9dWe0xOVCzSbNebtkCeh+uEYdcakjZLUQJ8oAc+fw8vTzFIugD+dy5NSfIAcp9P/qoff5u4JDLuAoqFeDTnwbe9z5kv3cvtmZOQBw4QLMFcX68JyzIGYV0yNU0wUD0yMrwsHEfY03DBBR1eiIrEfqQ1+twTRHZJUz8Bo7TZ11aW+ge6wpz2sMy5JmM4yQmTNDLgbkElibQAlx2NQ7oK1QOeSZ+hjw0smJZgRl8jyD3iawMDdmf+SFtDzWH3GdiIBOHPEyQa0Z/1MhKmENuKJw9DjmgiWVPZCWNDLlrAqI0+5AD9JEU5JDX6/QzMYFIEbowtKYmAQ75agnySgX0+mcymiD3RCVWUZArh3zDBnqxfQS5jJVv2QI6WPX6mnDIr7mGbpUg376djv/TT/s+Xpulc3GRvlDXoCC/8Ubal2PHYCTIZUEnvvMd+qd/97uBl76UKkMPHwbe9rZVGPXahgU5o5icJD2kfc9EFeQRvmx9ha6rUEaLrHjauvjjiWb4uO+JHPJmUztr8V1XmCCP4ZDLpwU5xLEEeY/ISiET4JBn3AfYpaMDMuS9Iith7rocu3pawPFTL6HJxECeOwkd8gR9yOX61Cp6CfIIbQ81o12bwYfwFHX2KUOurh41m6kI8qAMufzsGhtDpCt2YWhtv0ME+cQEyJlfXu6fIBeCBtVLkEuV3OeCQk2QCxHYi1wWRm7dim5rxDXgkO/YQYda5amzWbLNn3zS9/HaLJ2r9Br0g1tvpdsf/hAkyJeWfK9idzr02ipB/s//TG/Wn/kZuj8zw60ODWFBzijkd4cWW+khyH0jKxHcKE9kBfCIGi2y4mnr4k82S0kVLSudZpcV5wrgOg4+2W/nejodR9s+kwx5L0Fu4pC7hJum88Iy5EGRFR+HPMzd94zdOWD4CHKTDHlQZEauO4Ygj+OQ9+pDniiy0kuQR3DItciKGjCRZlFnUIZcHcaUBLIWWXHNk6DNVt8HhzxMkI+M2O8d+SHaL0EOeAS5R/tJhd7nGSI1QQ4ECnJZGHnZZehWASoVd+GSydCEN9/7nmPhddcBP/mJ7+Pn531OitagQ753L30c3H8/evYiP3GCPutUZOXBB4Hbbzc2DZguLMgZhbzUqnVaiVrUGeHLz+OQAx6RpUVWPGcAwfQSN87NxOqy4hqnqUMuF6lOK0kc8rDndzq0IIFDnoe5IPcdu08fci2y4ueQawdTJyyyojR4j9gL3E91nax5HPIe77VIbQ8NIitaUadPl5VUijoBjyBPo6hTS6m42h4qnS8f0MfIitZYZACCXIurAKmK4XyefoIEua9DPjYW+r5LytRUd9sAAicHOniQDPQdO+Dtk3eB87M/S4a4LNjE9ddTBsen04rmkJ8+TbcX8ORHQQwNAbfcEi7ItXOrWg144gnqe8hEhgU5o5D9/7UWssUi/Wf2O7IS0J5Qi6yETNTixOMEJ3TIWy07TeNTkBjFIYfcXFgfbXnHNd2ySWRFE7YuQanpvIAMuSzqDBLkDRHskBu7+z7PD3PItYsoQ0OOyw2udfQ4KZKLNYfcMYlJFIdcaxfucyy1DHlCh1y72JGkqBPQxHJaRZ1GbQ+lkky7qHN5WUXIfAV5SjN1ArYGHxqin1UW5ADtiibIHWOQoliZsas0Ic3cHA1Dvf5SkGvFSCTIt22z/yeOHKH3mvzSucB55SvpVk4Hj+uuo1sfl1wT5FLASkG7xrj9dprYpz4ZLMi1SYGeeIK+QG65ZdXGuJ5gQc4oZMcqj7nhuiwskd+5cSMrvoK8V2TF0wMxmF55XOdmwlxt5+JWC11V5BNzMMmQAw6H3EdQy6YwylF1VaWbOOSFAgKvJkRxyIOKOv0Euaajk/QhN3XIA9YRuUjXJaSjZMgBx/EM67Ki3QlZl7zj6rKiXsqUijotq08TAzk22unQcNOMrHgccstS69Yy5J657OPjMcW1PojEqgvysbHeDrmWnegfMgaujJytW+nDUrrDNocO0ZTsAEjF7dy5Zrpu3HILzV75l39pL7j+erp1CfJqlb4qlf5e44L8JS+hz9UnToU75Dt2AHj4YbrDDnksWJAzClnw7ivIe2TIk0RWPNlsl3DWTLUIX+ja5f+EXVa0nuk+cYvYDnmvosSAiIOxQ24iyEMy5IEOecZ78mRyPHsVdYZ1aAFcbxGfHLo6fgaCXG3a9d6I4pADjuPZqw95qxXYm969rn4UdapaaZcgbzRoWCMjMC6YDsI3Q25Z+oWaFDPkjYZ9eGSkzjYMNIdcU+fJuCAFuU9kZXTU8dZYpRkipSA/ccJe4NOL3LKoS4nsGKgE+RpBCOCXf5kaiOzbBxLYs7PkCDuQenXTJseCUinxVaFBcfvtdPuDZ/0unxNHjtD+Dg8DeOQRuuqxbduqjXE9wYKcUQwN0WeMqSBfjcjK8jL9KZdDpC/0SBlyQ0GuzbIZlCEPaXuoradXVw4TQd4rQ27qkPdoexglsmKSITeKrETJkAetI+T1LBRcxbUxu6wAjghQr7aHhrUPkYo6I2TI5VOUKLCtbO3qk+wclDBDroS/3e9cu4qWYoYcsF1yE0GedttDueACFOSa/l6lyIqvQw5ogvzIEfoKufFG0Hvj2Wdpopg1xK/8Cv0/f+pT9gKfwk55DDSHXKnztcfcHBXhfv/hIomDo0c9j9FaHj7yCLnja+TKx4UGC3JGw7dA3mfyDcBHkEecKtqkqLNcdqwyriDv4ZAHzYrpHicQLsi1iYHCBHmPPtpqgL0EuY8jq206hchKzvIX5HXEj6w0m4A11COyEiVD7rMO7YQg5PVUVzyCHHLDSah6tT1Uwh4IXZd2VSdMkBsKZ+0819WmQ/t3ilAw7cfICJ3gNJvojm1lRe366Kh7g/GRondxES513r/Iitb2UK7zQhfkg3LIfSYHki0Db7zRXl6p0BSYa4i5OeBf/Svg85+3X/rrr6dKT0cdi69DvkbjKpLbbwceeACwtm/3FeSHD9u1ueUyXQbhuEpsWJAzGpdc0nXIn3/ePuMPiawUiyDXQ/tGCsfUIVcGV0RBHpYhz2YdszrKAflgGlnRHHIfMdhLCMrlYYJc6b4ekRVjQR4zsuInyH2LOn26rABAAyk45D4Z8iiRFfVU1zHQcvxRM+TttvblrF7COA55UJeVVot+ImTIYe+KPve6yyH35M+ioZnvjo1q20ipqFPrxCoFry2ApUNeKqErmFOICxSL9FkRJMgti8ajPv7OnHFM15gexoJ8FWeInJmhY6ME+ews/SM6BPkjj9Bjrr0W3Rkur7qq72NLmw9/mF72v/orkENerXb7OaLrkK8nQf6Sl9B+rUxvI1HgoN2mRTt3gl7kTge47baBjHM9wIKc0di1i6rhf/ITuqK4Zw9QKwQXdQrhyNs2m8kF+So65ErzhRR1epxt1zhjFXUmyJA3GsHPV5sO6LJi4pDLLiv9cMgBR+QlaR9y1xhMIyuaIHed2GidUQwFuepDLgcB+l5qtRz/G4CxuLcsBDvkhr34JZogdznkmlj2VGhHw1f4V6uxa0B6oZniPoJ8bMw+oZI1LZnkX3NCuDT42Jj2mbiyQq+3+vg7fbovHURGRx3Fs1KQ25OpaYa4nHJ5FRzyTIY0pxLkmQw5Ow5B/q1vAS9+sf0+kDNcrjGHHKDJcq6+GvjSl+Bb2CkdcvXSnzix5gW5zJEfxXaaAcgxed/x4/S+37kT1H8cYEGeABbkjMaNN9Jn/NvfTt/9584B+08HZ8iHh+24WIyJMHwjK70c8ghtzHpd/gdcwqvRoJ3IZgPHCbgiKw4xGauo0+ckIWlkJXJRZ0iGPNfx77JSs+JnyIHgtomxMuQud1trY2nqkPsVlzabZP9Eccgd4zG5WuG3LsuyT4g0de4Q5BGFc6/IihaxTiGyAhg65GlGVlyCfHnZMVO89uGRHE2Qy3aLNtosnUDfBPnIiMshb7fV+3eQE9Js3uyq93P0Ij9zBvjRj4DXvMb+2+OPk62+RloeOhECeMMbgO9+Fyhv30MLHIWdJ0/Sa5DPg16oc+fWfIHjtdfSv+zTle30HezQArLl4a5doCk9d+9ek7OSXiiwIGc07ryTbvfvB37v96jzyoEztkPu6iurzZsiv5FSjqz4OuQGX7KRHPKAFoOSsMhKmg55pKLOgD7m/c6QNzp2piOiQ65MbSueu23S9jCWQ+5qYRkl9+0R5PY+eYpDDdcF2OtzXDGSDVCGhxFZOGvOtWtmGS1iHaHHvx9GgrwfRZ2u2cykQw7A9eGRHC2554qsyMi4Flnpk0OuCXIAKJfRbtMYPLN0rpI42rzZ4ZADWjHSX/0VnVe++c323370I+Cmm9Zs4d9rX0ufNd//0QgJUJdDrgxxmbfevn31B5kiuRxdGXjg5E5a4IjoqEmBdlgkyNkdTwQLckZjxw7g938feM97gI98hKbPPXjW7vXryCsCrtqytAS5S2QmyZBHcsgDCgDlOOXDUmt7GHCSYNz2MGymzhQy5EGC3G/8Jm0P1UUQyyum1e72cMizWfpyCGp7GKUPOeA4jn4OeUJB7ikOlQ/ugXaRyKHOZdfEYtGxrjhFnYCWeRiIQy5PChKgOeT5PO2AQ5D3yyHfsMExRbxrQiI5YePsrP33PkZWPIJ8eRnnz9NHtDLEB+CQewT50aOw2h185jMUe7j+etD/1ZNPkiBfo9x2G/kRDz4I2imXQ67y41KQr3GHHKC40deP2BGjn/5ULT9yxJ59tfJTegO87GWDGeA6YSCCXAjxTiHEU0KIjhAisCRXCPFaIcQ+IcQBIcS/X80xXsz81m8Bf/EX9CV69dXAobPOKqouWsQ2hiDP58MjKx6H3PALXSvqNHXIAzDtshKp7WFMh1wr6pRBZcdT1KZDBLmadbSHIM92YgpyrWK2izK121n6FO/lkAe09evVOtG0qFMz110nJbEdctcJpTaEOA65o1+h9lJGjKx4Jud0KLo0HXJtOz6CXHVZSaHAUsbC1eRAGzb4R1ZSdsgdm6HPOctSZzVySvWZGdD/ZR8dctVeUn7Wnj/vNcTlGcIqTdm+bRu5w+p9dtllQL2OB//hBezbB/zqr9rLf/xjitms4U4cpRLVcz7wACjjeeCAejNqDrksgFwngvzp9uXoZHOaID98mE7Ghr75T7TgDW8Y0AjXB4NyyJ8E8DYA3wt6gBAiC+BTAF4HYA+AXxBC7Fmd4TGSHTuAsy1bkLsKO/sSWQlzyA1oDl+oAAAgAElEQVQvd0fKkGvhbS+RuqwkmKnTNEOuohZqUPqvYRly9diADLnU+FEEuafLSsDJBADUG8L3+VqGPOD1UCdaAQ557KJOO6vtcchDhK9qhuKyorXziggZcrUKxx3t6RGdbFfrcU2Qay0C++GQr6x4HfIUprEXwhUfcShlLbLSB4dcCXKZXbedaM0hP3+e/omUXZ4eo6P0Vq1WoeXnPYLc03+vv1x2Gd3KTDEuvxwA8P99ej8mJ6ldIADg3nvp9qUvXZVx9Yvbb6eERucme4r4H/0IlkVFjrINJI4epTerbAO5hrntNqCFPBZmrgCeekotP3gQ2H1pB/if/5OmM10H+zpIBiLILct62rKsfSEPuxXAAcuyDlmW1QDwRQBvDnkOkzI7dwKL8HfIU42s+DjkMiWjOeSGX+ieaEa77XGTozrkmhD26cwhBFyquMd6es3s2GNMWmRFrUz/NcwhBxwxi0ZDq5oHHA5527+o08gh71GU6bf/kR3ytDLkcj32eyO2Q67NwOMz46fhutQq5J1qVT/hixhZcdVxalWBWmSlTxlyT5eVFAQ54BLkk5P+kZV+OuQyCmIvkA759DR8Wm2kh/Z6OvLzHkF+4gQ9OMX978Xu3XR74IC9wBbkx7+7H+99r+Ntde+9ZC+vknPfL178Ynqv7Ruznf6HH8b8PP0bqci4so+Dv1vWChs3UuHmM0PXAw8/rL4z9u8H3iv+kjrn/MZvDHiUa58LOUN+CQBnF/pj9jJfhBB3CyEeEUI8ckbaFUxiduwIFuS+kRXVZiCcsKLOep10UhyH3JMhlyt0rDtM/DrHKR/mJwQ1/RmlqNPhzMpVGmfIA9r+qU1rKq6LdpgLBdq+o3e2XE8mA2TaukMuEyhGGfKwokyXO2/qkKsrHwFXCMJ6wTtX7XeCFTtDHuCQR+2yooYS5JBHjKzIfxdV/uGKrAwNRRtjEMZFnSkJ8slJg8hKyg751BQds2YTnu4uZ87QmPJ5dNv99SGqIHenUnGM4fx5FRlXglwLM/cf6ZAfPGgv2LoVzVwRl3b2d+MqjQZw333Az/3cqo2rX8jaxQefnaKdf+QRlVBRgvyZZ9Zkr/UgXvxi4P8tv4pO9p54AuVlC287+Sn80v130xWPu+4a9BDXPH0T5EKIbwshnvT5MXW5/UqwLZ9l9AfL+qxlWTdblnXzbB8uFV6sRBLkhUKkL/Shoa6I9BOYnon2IgryVsvWmj4xE49DblDUGZQhr9Ucux2lqNMlhk0d8lYL6OSCIyuRHHLXOuT48nm4cih0BSCXMxTkPg63p5gyiUMekCGPUtTpF0FKnCG3nxeny0pQUWeSyIrHIXdFVpReTSjIg/qQS0FeLKJ/DrktyDsdWtZPhxzw739+9qzD9JXFfHIK+RSRu7O8jN6RlVUW5FNTdEKyfz/d7yCDw5nLcNvUfuyRQdOHHqI3yMtfvmrj6hdXXEHvs4cfBkU1Hn5YCfIdO0Cf7etMkN9+O/CFc6+jO3/yJ2i+/S58Ch/GmetfAXz5y/TlwCSib4LcsqxXWpZ1rc/PPxqu4hgAp8WwFcDx9EfK9GJiAsCY/Q3nE1lR399nz0bOTGoOuRCu4LfrkjoQWZADXrdRktghd7ntmrh3PslB2ARDphlyAGhlgyMrWoa8l0PuMwY5Dj9BLn81iqz0GLs7v25Z6WTIEwlyR/9w7YTGcGIgq9gjsjLADHkvQa7p1T62PRwetufmSamoE6DPJbdDLpuebNiAbt4t5Qw5YGtwGVlxZMjVx58U5H3I08qTjaUl0L5ls0qQZzKOC5SrLMiFoIYjjzxC97/zHeCpxuW4rri/+6B/+Re6XQedODIZahSjBPnzz+P0k6cB2A75yZP0Iq0jQf7iFwMnsRnP/8wvAp/9LCb+5cv4GP4fnPqzf+Le4ylxIUdWHgZwuRBilxBiCMC7AHxlwGO6KCnMGTjkp05FzkwODblmG3cVX8rNqS+ZcjlSUSfgiGYAwQ55SFGnJuByOU+HEO3EJEpRp1pp91eTLisA0BT+DrF6TK1Gv7hmKdSM3ACHvNWyzY4IgtxT1GnikNvPl9F+9dxMJtBtCcvQDw2h52vgGYdPu8I4vcOb2R6RlTS7rETMkA8Naa3HPW0PlSDvY2RF/cum6JBPTTlaEG7YAFQqOHe6qe5iZYXUeR8c8nPn3HdIkCuH/NgxCt32ITusCXIhVH5+fp6Oifp3X2VBDpCD+uij9Hb/zGeAo8UrMHH2YPef4StfoQetE/F2yy00x1HjRsqv5B+6D8PD9u7Jwsd1JMhvuIE+Gz910+eAv/kbfPKXH8Uf5D6Gq6+5kGXk2mJQbQ/fKoQ4BuB2AF8VQnzDXr5FCPE1ALAsqwXgwwC+AeBpAP/LsqyngtbJ9I/RuVG0Rda3y4rSBTH67mpREMAj8qQgV3WiWsVWb4LcRkkUh1zrsiK8HUI8DnnArJ9hDrlphhwAmhn/osZMxt60dpbQxZMhd61DrkeLj7gEeauFRA65O7Ki6eeA5zrX0StDHqvtoWM9cQV5XfSIrNRq9J4Iaddp5JDHmOJe610dFFlJ6JDn8/S+q1ZBv+TzSpArUzxFQT4z0537Rorj5efPde/KvFu/HPLhYXpxbUF+4oSru0afWt1pglwOym57qHRurUbjGoAgb7WAv/97mlp+4lW3QjQapNKPHqUJgd7yllUdUz+55Rb67HqieCtQKmHu8W9h9267uP+hh+hBa7i9o5uhIboq8P2HCsC73oWvPX8trr02MF3IxGBQXVa+bFnWVsuyCpZlbbQs6zX28uOWZb3e8bivWZZ1hWVZl1mW9X8PYqwMMDsnUM6M+zrkShckEORaYadDNHvqRBcXjYtGtciKSYbc1CGXC3o55DGiEp5hBOTalSAPcMjV800EuWlkxeFWG0VWAhzyoMiKibvuXIefsy2nnE+aIVeHLaqrDf2kz9NlZXg4dGZC35iVo8tKnMgK4BLkji4rnshKjysTYQhBu6jaK9p3tJRKikWdMzM05JUVKKVcOeYQ5FpPx3SQDvjZs6AdtmcKqtfJId+yxX7gc8+triC3HXIlyAc0Q+TP/Ry97O99Lx2eV/727fSH++8nhQ6sO0EOAA89mgde/nLsOf4tXHON/ccHHwSuvLJ7FrdOeMUrqN3j2bPUUv5FLxr0iNYXfK2BCWV21i7sdAlyZXhZVnqC3CHyPJ0Ul5YiC3Jjh9x0pk4geDKZkHWlmSFvoIdDDEQT5L2KOvN5TUhqgtxxPDUzPcDlDirq1AR5iEOu3iKuExrNZY/ah9yxnqgOuUqWCD1D7okPGQjooPesfIvEiawA9D/q6bJiWbpDLsVygunMR0ZcgryPDrkUn2fPQome6gkfhzxFQS4nfDl50l4wNQXMz6v7l1wCyt8dPKja/qWNR5C7IisA4G33sTqMjwP/+T/TIf8v/wW45JYtwKWXAt/4BvDpT5O9esUVqzqmfrJ9O33lPfwwUH/Zq7CrdQB3bD5EzsD991Poep3xpjdREuw//Se6QnXHHYMe0fqCBTkTyuwscL49DsshyDsd0iyjo6Avv1otuSB3iTwtstJs0re9YWQlUobc0CEPitbU62YOuW+GPMjhDhPkIsRhTyOyon7R9yHIIVfa3aTtoeP5HkFu4pBrOSIfh17d8ZJ2lxUAqFo9JgbSsl3BGHVZkeOKcJ24VHJFViwLqNVi9/gPoqcgt6xUizqlWz0/DyXIGyd9HPIUIytjY/QayDbj2LQJOHkSL7xAdy+5BOSON5vkjvYB+RIpQT4zA5w9qzvkAxLkALWiXloC/u2/tRf8639NgvyZZ4CPfnTVx9NPhCCX/Ic/BJ65/OcBAHce/0sqXp2fB968/qZNuekmemt/8pP0OfrGNw56ROsL7lPDhDI7C5zHBFrzi5DyTJsS+zRVl3fnDDbDNLIyPo7uN1A/HPIoRZ2AR4zWag5hE9Uh93O4LSu0qLNuhTjs2llCF+1QjBs65K59CCrqVA+t130niPJEVuz8bVRBXquhm8n2m6p+yb7jk+NXj4HLIQ8S5CHC1yPI7ed5uqwkcMhrQ46/BxTr9sKTIQeASgXLy8Pd961mZcdjZMQxdbp9Z2XF/pet1+ksPsXICmA75NtIkDfPOAT5k+lHVoSgjzhNkD/4II7bvb+2bAHw7LN0p09OcCZDu6QE+caNwOnTWGi7BPmFMkPkxz5G4nTjRuBd7xr0aFLnFa8AvvpV4DPf3IU34TV41bfuAQ59ld70r3vdoIeXOkLQxY4PfhD41V/ty9xXFzUsyJlQZGSlfe4FJcjlF/zoKLrXcNNwyF1FnaOjtlBLIsjH47nREpcZG17UGdMhV4Jath3p5TJb/oI+kkM+458h17qsBAnyca9DbtohJjSyYuKQyxUGOeSFQmD8wjMOxwo0QV4sGue+a027kDGoy4qBQx7YZcUtyCMWXo6OOgogpSBeWdEjKyk45J4MuS3IN2+G6wMjOZogv54EeefsOWSz9j55KsLTQRPkmzeTQ37MAiBI/967j/7Wx2jG+Hj3AgDm5oDlZXRQxfS0/b44epROFi6EaruREeCeewY9ir7xznfS1YD//t+BFy77BF578jbKsHziE7E7Fl3ovPzlNDEnkz4cWWFCkYLcOt+NrGjfr0eO0J0dOyKt1yN0fRxy9X0qv2Ajdlnp1YfcNLKSzZIu6+WQm0RW5Hr8HPJ2mwzEsMiFJ7IS1KUljQy5z3HpFVnR3Pm4RZ2mGXK5Qj9BHrKOoMiKZTkuLEQU0dUqtPevp8uKwZezjPyoSI4Q/pGViF/0fg5541wFzWa6kRUtq+4Q5CrWBqQWIdEEuZqx5xwmJ+1zKE8BSjp4HPKVFZw6sIxi0XaoH32URHIfJ6cbH3c45LYJMofT3QuUhw5F/ixm4rF1K/C+99GVi7s+fg3w2GPAd78LfOQjgx4aswZhQc6EIgV5ZjlAkB86RHd27Yq0XpOiTmWIJ3HIXW60nIjGtKhTCM2M9XRZMS3qBFyC1jEmrSiyRx9tlTOG9yTD45D7iOJ+ZsjDHHLZxMOdIfeI6QQOuUmnlmyWxuIu6oyT+/bETHp1WQlBCMcq5B2/LisxBLlW1Alg5Qz9A2tFnQkjK2NjXkGuYuMpF1lu2ECH6OxZ0EEeHUXu/Hy3sNHToikdPIIcwLmnT+Kyy+wTgYcfpmBxguLYMDRBbqvwOZzuXqDcv79vRaWMl//xP6gn/i/+IoDdu2nioz6+/sz6hQU5E8rsLLCEceQri6Rm4SPIL7kkslAwKer0OOSGX7BBBXLO7Zk65HKsQV1WTB1ybT2unTctSpRjrsI5V7nPpgNEYKwuKw6UIHedPJk45HKXekZWDNoeqreI48QoikMu1+N2yOXuJBLkrj7kUQS53LbaP1ud12p0EpHLIZYg14o6bdFdm6cFaTrkpZIjSmHnV5TOT9khz2apq8jZs/aCuTnkF890XeLz5+lgphwb2LyZSmaaTajG4yuHSJBjeZmu5ct+eH1i3NmB1u2Qr6zQxEQsyFcNIVI/72MuUliQM6Eoh7zTUoJDE+QHD1J7q4iYFHUmjaz4OeSe2dlDRLR8bK8uK0kdctO2fb0EuSaKA0SgdqJi0oe8l0PumGZV2+0eJzhKCPeKrPQQ5MUiPb7TQe8MuekJluMYJBbkw8OJ2h7K9fkJcvX0mBlyd2RFCvK0HXJNkDu7rPSpL7hTkI+WT3eTItqHR3rs2kXvvaNHoRqPZ144it27QY2ZLavvgtzudEjYZyAbcYq0+cGDtJwFOcOsOViQM6EUi0CtYFsAtjBWgnzEokukCQR5r5k6k0ZW/DLknlbOcRzyGBlyIDyyEibI5aIVy1+QK1EcICgzGVpHL4fcqKjT54RCi6wEiGp16BIUdaohB832GeKyy8dpDnmjod4XKvedMLKi2kBGcMiDBLnanZgZ8lrNPneyT2jrZ0kgq/PbFBxyd2TFqlbRavXHIQdcs3XOzWGsfqYb2+iTIJcfc4cO0R0rk8Gu5j4S5D/8If2xz4J8elrfbwDYjBP0q+zywoKcYdYcLMgZI6wxWwjbwlgK8onF56nLSowvoUgOubSEIgryahVdMWSLV89khwaCPJ/3F+SyEDCyQx4QWQmb+l055O0hUnsRHXLAYeSGZcjDijoB7YRCi6z06AGuZtqM2YdcbTbIITeIrHgEucMhj1LU6WiG4inqDOt444eWBLJfKI9DHkOQA3YHFFuBN87S/7GaSDCFWTSlIO90AIyMwFqh96bmkKcoyKenaYZMAOjMzmGqdXrVBPnBgwAKBaxsuhRX4RlcdRWAb38b2LOnrwWdAO33woJ9nIeHsTSyEVfkDtNx/slP6Kz76qv7OgaGYdKHBTljhJj0d8g3PPUD+iXGlF29ijoty1XUefYsfZkbihFNg+dypPbsnmyaIJexix4iWo7VT5BLMWkq7pM65EpDN7tFfxLNpV5ZCRSUSjcmyZAHCXLZQ72HQ66EsJ09iSPI1fiDjp+BQ65Evb2CVCIrjgy55mondMiTRFakBq5UoAR5c57+j5VmTWHSHm07jmOhdVlJMbJiz8sDAKiW5qiwcZZqXPolyLdsobeMrGM/Pn4VrsbTuPHKFeB73wNe85rUt+lmeprEuLxoeGJkN67M2VGVxx6jlospTcDEMMzqwYKcMULMOOeqdkRWHruPvmSvuy7yOj0RZkdFW7VK0Qn1nXr2bCTnSbahVnrVIRA0Qd6jo4l7rH5dVrSYAxA7shI1Q16v6/sEuERxDxHoEeRxM+SO56pthxxPrajT3ljUDLnabFDbwygRpLSLOhM65J6iTrvLinp6zMgKYGviUgkQAu1zpOYmJkD/aI1GKg45YJvhw8MQtSoAi5b3IbKydSsVWNbrwFJxDnm0cMmo3V2lT4I8mwUuu6zbh/mnnatxJZ7F5Df+lgayClMXyk4yMrbyXO4y7OocoDuPPQbs3dv3MTAMkz4syBkjxCa7fYHd80sK8qGHfwDcfnvgrIi9GHbHoItFEgetlreN8Jkz3ebDJuMVrolKHPN6a9GEOILcIQQ1EQcYRVbc2WXHTTqCvNEgUR7gkvXLIdfiNmEZcsfJQNS2h2qzQW0PDSMr9Tq0JvNxBLmKELn6kGtDSNshjynIKxXQvo6Pw1okQT45Cde0u/GRgrxcBglyy8IQGmTKLy/TtlN0brdupdvjx4GFPGVVtuTsWYP7JMgB4LbbgAceIJf6S2dfhiE0gPe/nyo+X/7yvmzTiZyRUwryZzu7sbFxjOaDeO454EUv6vsYGIZJHxbkjBHZLbYgt68RVyrAVOY8xFNPAj/zM7HW6RHkjkCujIzHdcjl6kId8h7i10lQZMWTRzdoe6hlyP36kBsUdQYJ8nwe3WVhDnlAhjxRUaenhY2Op91goxFpYqC0IisqHSWEej21qx0ReocrV9svstJu0wFNs8tKEkEOAOPjyCwtdrsCyj+k0GUF6DrkADCCla5DbrvzaSEF+bFjwPGmQ5BbFtWcqIB8utxxB30c/fVfA19ceBXKMzvpD//hP1B+u89IQb6wQLdP1K6gX/74j+n2Fa/o+xgYhkmf3KAHwKwNJjaPYBHjKL1wElnQd/jLCw9AVK1Y+XGgq3c0F9teMD9Pl7bllw/OnAGuuSby+jVB7pchNxTkSogCmiCP45A3m+g+JmKGPJej7/yeDrmpIM/ltDFItKLOqJGVkOPpyW7X65H7kKvNJijq1ISv/Xp6ijqjimi/yIp8cxuKXa2oM8W2h4BLkJeXuie7KTvky8vddZEg39AV5CniFOTnl+bwKgCbsmdIjDeb6DYlTxdpgr/nPUAuV0Dzu/cDlWN9764icTrk7TbwzeXbacEf/AH9kSMrDLMmYYecMWJmBjiFjWgcpcjK0hLwstx9dMn/tttirVNqFKUpNUFOvypBfvZspMiKXJ0m9ns55HGKOi0rcscWJWgdzixgniF3bt4tyJVLbSrIPVOQdtejIitRu6x4zlC8Y3dnt9PIkEdte+hoGa6OQZzIihyTX9vDoSFEzk5rdbr261uvO95fKyuRHfIJvUESMDGBXHVJL+gEUpkYCLAFua3Ox7BMvy4v91WQP32Wrp7lz53uTqXZJ0G+ezfwjnfQ7x/+MLBhz+ZVE+OALshPnACes7bjzPabaOG73rUqLj3DMOnDDjljxMwMcBKbsOU4RVYWF4Hb2z8Abrwx9hd5Pk/fHaGCfGWFfgYcWVHivlCgy+KtFur1vFoEwLyoU640YoZcbqvRgEtVRnPIZUbfPeuo3IXYRZ2mJxN+kRXRomBuUofcoKizWHRMge5yyAtDvYti/dZVqwGY0gW5Fgcx/B/R3rP2GWVtxF6XZcVqTygFuXrNx8cxVF3A5E77vlTqhpNuBaFlyG3xXUK5G1lJscOK3N70NLXePnDCPlk/darbeqVPghwAvvhFYN8+ULvDVWbDBvo/PH6cYuMA8PRv/zVmX/gb4CMfWf0BMQyTCnwqzRgxPU2CXJyyM+TnGri+9lDs/DjQLbwMFeRyOr6IDrmfuAFS6LIS1LsaMI+syPVEzJBrT0uaIffsGJGoqDPEIe8ZWen0fq7zTz0z5FEjKy6HvCjsXwwFuTovcp30FYuI7JB7ZtUsl7vrkq9rREEunXCnIC82FmPPghuEFllxOOTj4+hLZAWgdMZjjwH7j+SxWNxIdnmfHXKALgzu2TMYMzqTAbZtA55/nmo4AWD2jiuA3/3dxK8hwzCDgwU5Y8TMDHAMW1E49TzQ6WDTiUdR7FQTCXKgtyAvFOxFUpBHdMi1yEqaRZ2O7iSetocxBXmUyIrSoUkz5NrKusQR5OrCgKm77xNZGbLCBbkWWenlkEeJrLiLOju9j5/fmFRkpdkE2u2uiI7okNsanCiVgEoFtaqVqPiyVCIR5xTkI80l7yy4aQpyW3yPizIdxj5EVgC6QPfII8ALLwDLs7uAw4e7gnzTptS3d6GwY4cuyHfsGOx4GIZJDgtyxoiZGeBpXI1cowo89xyuPHsf/SFmQafE05oQAKpVFRkXAt3p+PrhkMfNkAPe3tX2sl5i0CPsY0ZWUsmQewZExOmy4omsmLY9dEZWIjjkPfuQGzrk6tDZ65Gv5bCwD04cQW4PLq4gL5VoX1ot+45lQdSqtK6YxZeZDMVWlCCfmMBIe6lbnyEFueEsuEFo/c5tdT5bXKb/4T5EVgAS5JL85Q5Bnsv1rcvKhcD27STGjxwhn4LnAWKYtQ8LcsaI6WngKdhdTp56CjctfQenx3cndqEctZYeh1wr6ARiCfK0HHKPsw1orqrK+DabPQVlWGQlriCXE45GFuSuDLllOSYu9cli5/P2Y3IhRZ2mEwM5+pBHFuRBfcgN2x5qx6BW6w69Hd0hr1Ydj3d2RokRWQFsHW/fydYqtDsJii8nJ7uCvFMaRwkVzE23aUFKkZVslv6FnQ75dMHe/z455G94A+3bpZcCs7ddSir12DFgbm5dFzdu304Z8n37qP05wzBrn/X7icWkytAQcLS0h+489hhub9yLg5e+KvF6PYWXgFeQS4c8RmSlV1FnoYD4fcgBryAPcYeB/mXItU4lCRxybT0BDjkANDPxHfLAPuSd3mLeuVotQ25ZarO5HHxPJNxokRX7gKirHUkiK4A+u2aMyArk02wBKyplOldN0C/cKchXciS8t5RsZ3xpqaumEzI2pgvyqSFbkPfJIZ+YAA4cAB59FMhctovOJr/zHZpOcx2zYwfVP3/ve7EmSWYY5gKEBTljTH52EqdLu2D93u9hDGW8sCdlQd7LIc9mI8+81yuykss5YhlAOoI8pKARCO6yErXtoeqy4piIRj1F7nTYTJ3yCY4Muakgb2W7ylheGNCKOsNOJlxFndksIJrhJzSeDLlt6UsNLqwO5T0MHPJGg/SbW5DnWzEFueP9m9QhL5fh6OVdoV8T9At3CvIlkCDfOOwQ5OPjqUza4xHk+WV6jfpU1AnQ58T4OIArr6QFx44BV1zRl21dKNx8s//vDMOsXViQM8bMzADfnX0nRL2OU5jD2Vtel3idRoL8zBm6E/EStCeyUq8DnY4+0UoSh9yOJgAxBXlYZCUg16455LUaYFm6oDdwyG1jObZD3hA+RZkxIyseMR8lQw4ol93kZEaiCXv7ONZqtEpRiynIpeB0dkZJwSEvoUzLE0ZWZDLlvEVZ8TkpyBcXU+vOUSrZJxPZLGqZYUzmyvR+7HT6JsgVN93U/T3m3AhrhWuvpdgKALzpTYMdC8Mw6cCCnDFmZga4Z/L/xNlf/7/wOvwzSjPRJijxw6+o06qsYGEh2aRAcnUese+MEwDxijpdWWEgPUGuRVZy/tMEKFErd6JW03WoPKA9BDngELU+gnwo2ybFbhBZ8RXkAdsuFEibtbN6UWcsQe5w2U37oEscL6EKgat63JATGjdGgtwwDiJX4cyQj6KSOLLiLOpcaJH4nsm7HPIUcG6nLMawIb/cLRrtQ2RFY3gY+PVfB3buBN7ylv5ua8Bks8D99wP79wNbtgx6NAzDpAELcsaY6Wng+XNjOPye38GjeFHUBIkvmmguFAAhUD+3gnY7uSAfHqZIQrOJrrgKEuQGRZ1KtzqEsNaHPEFkxXdim4AIgeaQ2/ukCXoDhxzyYQGRlYLwPy7yHKEpdDGsHuqZulRHNVcR8RzyXI4ulKgMOQA0GsYzhUq0Y+CIrMQR5CqPbgvo9mIZzaYjsjI8TArKAC2y4nbIE0ZWFhbo9zMNEt8bhMywLCXusCKZmYGaQ2DZKmEiU6ap7AHHP3Qf+aM/Ag4dilxvsha55BKaNZRhmPUBC3LGmE2baKpm+YWbRlcxLbIiBDAyguoCCQ/1/X36dKwvWEcCRisYjRtZ6XTszLFL3AO2kDMQg57oi6sPeS6H0NaJvQS5iqyokLwXx/lEYGSlkHFmV7ooh7wllJj3za8HCHKVMhF63MRUkMtVuyMrUR1y7RgECT1StpkAACAASURBVHLDKerdDnlrsdJ9eqUSKarh12VlVGbIEzjkGzfS0ysV4GSD/rHGW/Y/coqRlZkZOn9ut4HFzhjGRLl7JjA1lco2eiJEKll4hmGY1YYFOWPMzp0khB5/nO6nMe+Gq5U2MDKC2kJVX//p07Fm3XPo1eDIilTUIW6o1Hd+brtt7CeOrChTPIYg92TIe+yPJkaDIisiRJDLXuTOtoV5hDrkKnJi6Q676QmN/LO7l7npTKES7b1hK2r5WiaNrDTPldVylMuRHO2gDPnICBI55DLWcOIEcLhMJ7dD5+3uRSkL8vl5+imjhNHOUvcMfjUEOcMwzBqFBTljjJwN7sEH6TaNmam1DDkAjIygfo4WbNoEUn4LC8kFeVBkxTPVpj8O7acpWm1dEQS5u6BSm+DTQJCrLiv2PnlcalNB7nLI5a/FrIEgt63qOJGVOvQ+5FHiJn6dWhI55PZZYb3umqI+giBvNoH2sHTIHYK8UokkoIMy5Ekd8s2b6fb4ceDZk+Noiny3neiZM9S3OwVmZ8kdP3gQmMc0SvWF1XXIGYZh1igsyBljnIJ8dDSdpgkeh3x4WF3y37wZ5I4DsQSDFlnxa0kHhApIiSbIg8R9SIcRoCto2214HHKlQ7WV+o8lNEMeRZD7ZMijOOSaO1+rUV66R4cYwOGQ2zNkmnRoca4jMEMeN7LSbKJZa8d2yAGglu1myNXyiAWTfm0PlUNeqdDOG+bRnUhBfuIE8NzzAktDsyTE63VyyFMS5LLU45lngLOYwXDlDAtyhmEYA1iQM8ZIQX7yJM2MlwalEolTpQlLJbSXK8hm7S93KcgvRIfcEVkBYOyQA7qgletVGjKNDHlMh9xUkLda8ERWlCDvcTKhBHkrS8IyhkPulyFXbQ/jRlYAdKp1XZAbOtHqeKIIZDLoOAX54mKk/vlyk5UKgHwe7XxBL+qMEVcB9MjK888DK6VZ+t+SLnnKgnzfPuAMZjG0eIYiK9lsarEYhmGY9QgLcsaY8fHuF25a827ITmjLy90FmeUlbNxotx0/dYqWxxAMjjrOYIe8XieVGeI6qv7bToc8ZmQFsIWvK7KSRJCnniGHv9PcK0Outh3i7stddD5fmzU1ZoY8kUMOwKrWaNMrK7SjIa0w3euq1gRQKsFadgjy8+cjdTDJZul5Mp1SL05gHEukwyPm0Z1s2EDH7dlnybBuTc2RGE/w/+WHW5BnWk3gyBEaABdbMgzDBMKCnInENdfQbVqzw0lBLlsVY3wc2eqyXtAJxHLIHXWcvR1yg24amkMuqy+DWiiGdFlRD03okFvF7omBRxT3cHdNHPI8EhR1Gjjk6jj6RVYMBLkWWYnpsgPeKe+VII+Q05YaeWWF7lhlR5eV8+cjzzBbKnUFea04iUmcp+HEWJdECHLJf/AD+/6sHVlJ8P/lhxTkTzxBkRUAdBbAcRWGYZiesCBnIvGJTwBvfzvwy7+czvr8HPKh+rLKvCoHL63Iil+GPIIgbzZB6sbRmSO2Q14o0C+dTmRBDgDNfNf1TxRZcWTI1XpidFmJFFlxOeSxIispTAzkfG90VmrdbiYxBLnqjFK2HfKCFTmyItdnrwLVAgny0VHEWpeTPXuAn/zE3sZOO7KSoEbDjy1b6MrWoUNAY9xuVbpvXzo9UhmGYdYxLMiZSNx0E/D3f59Oy0OgGyt1CvKR5pLukBeLsSpIfSMrCR1ypV3dnTmcf4wiyAE9cmEwJiXIC92ZITWXemUleobcsrrjQsKizh7b9kRW7H3X2h4aFHVqM5WmFFlBLSVBXiE1PSxqNJ6Ik+6MjnYd8kp+EhvEeWopn8AhB4C9e7u/T12/lVT/s8/SgpQEeT7fndJ96BJbkC8v0yw2DMMwTCAsyJmB4nbIO6VxjFouh3zjxlj5U9/Iip9DHuLIAi5nF1CCPHGGHPAK8hCHXInafFeQa6K4XO45TbknQw7YVZqOCYpiRFaiOOQqsuJ2yHvMUOpchybI7chO1MmF7Kc6ijpr9DZJKMgztiAfbS3SH2I45FKQl7OT3Rk1I+bR3dx1F7nX73sfkL1sJy287z46iYiZTffj6qvpdvN1jtl1pUpnGIZhfGFBzgwUd4a8khlDAQ1cMmMLq9OnY7t3mkPuUE1xHHKPIE8rsmI/L05kRbbZczrkSpD3uKKgxTW0ULsjQ97pT1GnX2RFy5Abnhy5ne1EkRV7PaJaTcUhz6zQ2eVw3RbSCTLky1mKrABI7JBfdx0VdH72swB27aKF3/0uzb+eYsHlW95Cty//xS3dhSzIGYZhesKCnBko7sjKYocU+tYJe4F0yGOgFdvlckCxCGu5HEuQa44qkI5DnlCQ19s5GsfyciRBLsfrzmGrccGwqNM+KYlS1OkpjnVHVgwEucqQ9xLkMRxyUU8hsjI1hfwy9d0ebtgOeYzIisyQn8ckJqzzQKdDZ60JBLkcSi4HCpTLzkJXXplonW5+5VeAs2eB177Z8Rrcemuq22AYhllvsCBnBoo7srLQIoW+ZcxekNAhz2Qc+fRSCZ3lMjodl4iO45APMLKijcUuIlSiONsxFuR+Drlaj4kgt4+BpoGTFHVGiA+5BbmKrhvm0DMZeoiaqRNAtpUsslIuA5iaQqFMgnykEc8hd0ZW5tuTKFo1UridTmJBrhgeBi67jH6/44501mkjBDA9bd/5+teBD36QBTnDMEwIuUEPgLm4kbpRiuYzNVLoc8PLJEBOn47tkAuhNb2gSYeck7YApMgMxFevyIo2MVAmY1uQ/njaHtrP8xR1mgrysTHdIW+tqH3tNQYhXBlyV2QlZ5k75JoGjlrU6YysnO/dHUbiEeTOEyPDyArspzsjK0Wk4JBPT6NQW0QWrW5kJaJDPjlJDVUA4EzTFuDPPRdrXT35gz8A/uzPgHe/O711unnNa+iHYRiG6QkLcmag5OzUhcyQn6qRQz5bWALOnaNiwwQdIEoll0NuC3JVw1arGfVI9nXIFxe9DnmIEDSOrJjGPuwzDimkC0377KOHIJddGzWH3BVZMRLkCRxyFVmxTyZM2jU616GdTDhPjAyLOgF1PqHGO4wUMuT2e2kmcw6582fpD8ouNmNqirLelgWcrNuC/MgRuk3LIQeAN7yBfhiGYZiBw5EVZuCMj3dF84llcsgLjeVUJi0ZG9Md8s6SjyCP02XFVrQeQR6yrtQjK/YOynHlavbO9uiyIoevTa7jdshNijodrR/VQ2MUdaoMuaEgVxlyIYBCAVa11j2HieCQDw/bx8AW3yNYiRVZ0WbXtMX31uF5iFMn6Y8zM71X4GJqis5Dy2XgRNXu333oEN2mKcgZhmGYCwYW5MzAsVMXAIBjS3aV59JSokmBJO7IilX2EeQRMuTOok7Lr8tKFEHu55B3OqTGomTIl5dRr5M+zdfDHXJ7+D0jK9mOYWSl2USz1gZg1vZQM+QdRZ1RHfJ63W6dXiyiXaEXRQlyIXrGhiTqKoF9rEoox3LIAUfu23bItxQXgBMn6OqOLJ40RF6wmZ8HDlfsq0NPP023PMEOwzDMuoQFOTNwNmygdAoAHDznUCMpzCLojqxIda70VsQuK1pkZaWq/c2kQDRUkBtELoIc8kIBEGV7Z0MEuSey4irqNI6sgGa4VOMKOZ7y+TJDb9Xr6HSiC3I1hmIR7RWHIK/VjHqZy8dXq1BnZ6OoYGTYSkWQbx6aB06eRLehvjlSkB8/Dhxr2Sejjz1GtzHWxzAMw1z4sCBnBs7MDHDmDP3+01N23vbMmVQccndkRVSSOeTOyIpVdQlyA0EZGlmRFnwMh7xQQHdnDQS5FllxZciNHHIpyCtVZDJANmOFHk87ZaIiK1at3t2niIJcdkjpVFyC3GAdgKPfdzaL9lARJZQxmrOt97iC3I6szOUWSJDHmNJWCvJDh4DTsE9GH3+cCoZTmlGTYRiGubBgQc4MnJkZ6urWbAKHj+WxMjxF7vjx4xQ9MCi6DEKLrIyNIVt1CXLDtocu3erIfEQT5KFdVuQGTHPYLofcVJCr4QdkyDNtw8gKAKta03uAGxyDeh3aMYzikGtXK4rFSA69E+d7o10cxSgqKGXsLjUJHfK5zNnYgnyDIzbeQh7VSdsVn5sziuIwDMMwaw8W5MzAkYL86FGKUDcmZskhf/55YNu2yBlcJ+7IihTkUSMrQjiEJAAMD0PUEjrkMSMrfl1W1HlFBIe8WoVvhjyfB0TLX5BnMvTjdMitlWpXDMuV96BQsDc3MmLP2hQvsqIEeTW+Qy4PV6tQIodc2ILccB0SJcgnJ1HLDOMS6xhd4UngkB8+TLfVbVfQL1dcEXldDMMwzNqABTkzcObmSMz85Cf2gtlZcsiPHk085bY7spJrVJFBmxzyVgtot426rACOdnsAUCxCtNvIopU4smLVG8ky5M0m2mVbFC+bZch7OeT5PHp2K8nndUGOarUrqAEjQV6vAxgZgaiuALASCXI4BXlIlxcnzvdGo1CiDHnL7r8pp5A1ZHzcbt0pBE7ktuOa5Qfp/bV1a6T1AF1BfvAg3TZ3XU6/XHpp5HUxDMMwawMW5MzAkZr7e9+j2/yWOd0hT4DMCXc6UCJ1FBUS5CvR4gmq3R6ghOMwql3tvLISyyFvV2mlsQS5rd7y5XO6IDdoe+jXh1ydGDT9HXK5yBlZQa2m599DBLHdXIUEuWWhgHrktodAt4e4VXM55BEiK/JwNfKj1GVFCvIEk/kcze7AlecepDsxXO3hYXpLPv443W/f/b8BO3cCv/mbkdfFMAzDrA0GIsiFEO8UQjwlhOgIIW7u8bgjQoifCCEeE0I8sppjZFYPKci/+U0Sa8Xts9Qy7tixxA55qUQ1eisrUIJ8DMukwQ3jHRLl7AKaINcc8hBx7yvIKw5BHrWo0xbkhcoCLV9YoDGEuP69+pDn8/Yv2axvtxK3Qy5q0SMr0iEHqP/3UK5jHDfxOOQJBLl8C9TzFFkZbtiqOqJDPjkJnLcn5nwS13X/cPXVkdYj2baNHHchgJlX3Uj5lRtuiLUuhmEY5sJnUA75kwDeBuB7Bo/9Ocuy9lqWFSjcmbWNNBGffBLYuxfIbpqjPojtdmKHXBrF5TKUyJoQy5EKICWaIHdMt540stKukhiOVdRpC/Khiu2Qnztn1Ku6Vx9yJch93HG5D1pkpVbVTyZCjoGfIB8WZs+Vzwe6glzUXJGVCBnyZpN2vZalyEqxbgvymA55pwPc17m9+4ctWyKtR7JjB93OzRnNccQwDMOscQYiyC3LetqyrH2D2DZz4TE319XEd94JPSu7Z0+idcv1lstQsxxuGT5Hxm+lQn9ULVd6Y+SQr0JkRevlbYvv4eoCjWNhwagrTVAf8kiC3N7xTL0WySF3RlYAW5DDzp/HEeT1and5BIfcebK2Iiiykq/Gy5BPTpIYX14G/lf9zXjopg8C3/hGpHU4udyOjV95ZexVMAzDMGuICz1DbgH4phDiR0KIu3s9UAhxtxDiESHEI2dkU2tmzfA7v0O1nB/4AIBrr+3+Ye/eROuVgnx5GUqQzw3Z2YIYDrlzpk4guiDX9K99p7MSTZBnMiSKnQ75cHUhnkPu04dcFXUGWLN+kZW4RZ0ACfKiZS7I3RlyUY8fWQHobVBGCWOiArEU3yEHKGnVQg7feeefAK9+daR1OLnzTrp96Utjr4JhGIZZQ/Stqa0Q4tsA/Hp+/UfLsv7RcDV3WJZ1XAgxB+BbQohnLMvyjblYlvVZAJ8FgJtvvtmKNWhmYPy7fwd85CN2m+XWXuBlLyN7MKJT6UaLrMy6BLl0yA0FuVbU6RCTKjYe1SG3lXWn5hNZCcmAK1FrC/KRmi3Ijy4Au3cb7Ytfhlwr6jSMrGQbVQyNIZJD7hbkhQiCXB7vlRXaVqaRXJAvd0YxinI3uG34npBIQX7kiH4/Lm99K/Dgg8DNHNRjGIa5KOibILcs65UprOO4fXtaCPFlALfCLHfOrEHUnCe5HHDvvamsU4usXE4qaSbncsjjRFYcHVtGRkAt7lqtUEEpBNVKyiYmGBpCJ2JkRRvL2BiQzWK04XDIDSMrtRpgDRUggGSRlWa0yEqhYF+xcDrkHXNBLl+uSoW2lW3Gz5ADNJbFdgmjVpmC4GNjdLIUASnAZe9wg4sUPRECuO22ZOtgGIZh1g4XbGRFCDEqhBiTvwN4NagYlLkYEMK3w0dU/CIr09n4kRUlyG1VWEKZdGXVXFAqQWuvVE4fH6V1oBqLEMCGDSg1znW7rBhGVgCg3rI7qbgjK1Ed8iEYt5H0LeqMkCGXgrxchleQx3TIz7dKyMCi2TVjXJVJW5AzDMMwFxeDanv4ViHEMQC3A/iqEOIb9vItQoiv2Q/bCOAHQojHATwE4KuWZX19EONl1i5aZKVYRF0Uug55xMiKn0NeQpk0ZFqCPKpDDgBTUxhvzaOUq9E4DB1yAKjWhKPK0kyQ53K6IM81bUFuWCTrF1mJI8iVQ95uIoN2oqLO001bQT/3XOT8OOAV5EkjKwzDMMzFRd8iK72wLOvLAL7ss/w4gNfbvx8CwI13mURoDjmApcwkpjLxIyuqqNMtyOdXV5A7NDSwaRPmDh3HBpyj+wb2rFYYqeayj1jUmc8D+TwKzYreRjLkeKrN2YJ8FBUUWuYdb6QBX6lAHe8C6igWhiPN1CnfG0tLwInGNN05dAi47DKj5zuRAvzQIbplh5xhGIaJwgUbWWGYNJBm5zlbq57HJCbgcMiFMM4cq84kgFJzE9kKsllEdsiVmB4eVs+NIshV20IA2LEDW9vPYap1mu7PzhrtC+Ao7IxT1AkApRIKzXIkh1y5+/bjRrCCQsO83WA2S/svHXIAGM3UkEOLeg8aCvJpW4PPzwMv1Ow7p0/HdshzOeCJJ+j+xo2RV8EwDMNcxLAgZ9Y1uRzpq4UFmrFzoT2J8Y7DIS+VjLPqIyPdmLS0aTfkbVdYquOQ/DRAglcJWofKjyLIR0Z0Qb7FegFzK0fo/tatoWNQkRXZizxOhhwASiUUW2UabqVC6wp4nsSvD/lQzb6EYZjfHh3VBflksWY8MZFkcpLE/ZkzwPOV6e4fNvk1h+pNJgNs3kx1vSMjkZu0MAzDMBc5LMiZdc/UFAnyahU4h0mUmrZdXi4bx1UAlwjOZFDPjWAi6xLkUSMrxSJEzeGQ12p0gpDrnSZzGOtob92BLDrYeeqHtMBAkAc55JEF+dgYii2HQ25wPJVDbotpEuRLan0muAX51EjNuCBWkskAMzPA888DL7QdlnbM2TXl0zZvTqUemWEYhrmIYEHOrHump0mQnz8PnMYcxlbsaEelEsnKHB4mh9yyu9zXsqXkgnx4WE1soxzyYjFU0TkFeWMLzbO+6/l7aeUGDm9ohjxEkLda9p1SCcMdW5DLKw4hODvENPIjGMtUkKksq/WZ4CvIDScmcjI7Cxw4AJyBI+azebPx853s2kW3O3fGejrDMAxzEcOCnFn3TE1RTlgK8uHlU6SqYzjknU43/13NljCWsXPTMj9tEFlxO+SZusMhN+yjLU8OAKC+5VIAwCXPPUCTKYW46/ZmaR9kZCVBhnyk44isGBxPuTnLAmr5MUxml6nqtlQy7v/tFuQThegOOUCC/JlnAMBxAnTddcbPd3LjjXTrnGiWYRiGYUxgQc6se2Rk5fx54BQ2IteskRg3nGZeIrW2NGIrmRLGhO2QL5kXJXoc8obDIV9ZMRL1zvhMdfOlOIMZuvOiFxnsiU9kxZ0hN+myAihBHjWyIrdVGdqA6cx5On6GcRWANiNbWQLAhmI1lkM+N0fvCwB45n//HHDNNbFn5Hnve4GPfhT40IdiPZ1hGIa5iGFBzqx73IIcAHDqFC006Nkt0aZsB7AiRlGCLciXzYsS3Q55thHPIZf6s94Q+Ax+le780i8Z7IkrspIgQ94ZLaGE6JEVgM4BKvlJbBDn6PhFmJDH7ZCPD9W6L0yEqx7OhjTi/e8DnnwykqB3smkT8F//K3D55bGezjAMw1zEsCBn1j3T02SGnzvnI8gjOORSJ0vdV0EJI5YdVVkyL0rUeogPDyMbwyF3CvJaDfgdfBxf+swZ4M47I+1LtYpYGXIlyIdJkEeNrAC0yeXsBkwinkOuRVaGqpFnXgV0QR4zOs4wDMMwiWFBzqx7pqYor3zggEOQnz5NCj2GQy6F8LJVwojlcMiz2VhdVrLN6A65swXjygpgIYP85hnjfUnLIW8NOxzyiJGVeh1Yyk5ispPAIbe3N5GrxBLkV13V/T3C5hmGYRgmVViQM+ueuTm6fewxYCFr3zl8mNRogsjKUqeEkbacAtR2eA363bkz5NmmyyE3jKy027QeOR4DY10R1Ic8alFnu1iimTbzncgOeb0OLIoNGJeCPI5Dbj9nIrMcS5Dffjvdvv71xk9hGIZhmNQJb8fAMGsc2Zb74YeB3KY54GSW7gCRcgpuQb5gTWK0YVcERnB43Q55vlUDYGFoSJBClvOw98AZOYkjyEP7kBsWdTYLJYzCwoioRs6QNxo0c+pY+zywNBbJoh4bo0NulcYgAIxnykDZHlQEQb5tG3D0KPUjZxiGYZhBwQ45s+6RgvyFF4C5LTngkkuABx+khREmgXFnyM+0pjDSOE9WdYQMtNshB4CRTB3ZLCIVdcqxJHHInX3ILSt6ZKVZIPE70inHiqwsWBuQtdrA8eORHPING6gX+lKHtj+GeA45QO+PmHWcDMMwDJMKLMiZdc/WrRTvBoArrgDN3HLkCC2I4ZBXq6TBTzXtgtDFxfgOua2sx/N2MD1C20M5FinIDWeMB0DHI5/XIyvtdnd8poK8YQvyscY8Wd6GRa0ACfJzln01oNHQKyxDkLW4L5zOo4YCSpZDkEc5M2EYhmGYCwAW5My6Z2iomyO/6ioAV19Nd4QALrvMeD3OyEq5DJyDrQrPnYvvkDvb9gGRHfK4kRW5aWdkRY7JdKZOywLqRRLUEwuH6Y8GmXxpolcqwJmWo8vNxo3+T/BBCvKjR4FljGGks9yd6MlwciGGYRiGuVDgby7mouDnf95xe/PNdMeyItnKzpjI8jKwAFt8LixEcsjdbQ8Bu22fXHnEyEqESUI1lCC3IytyTCaCHCBRXhsmZTxx9iAtNGgjKQ/T8jJwqu0Ib2/aZDx2uZljx0iQD7fLxhl2hmEYhrnQYEHOXBR86lPUZeWGGwC88500z/nnPhdpHc6YyNJSHx1ywz7k8uFxHXLVy9w+Q5CCvJDvUCYnRJA3m0B1mE5Kxk5HF+RLS8CzrV3dP1xyifHY3YK82FxmQc4wDMOsWbjLCnNRkMvZYhwAJiaAH/848jqckRWPQ56wqHM8X6WF7bZxH3KgK8iF6BZLmqJFVup12fkQwzl7cD26rAB2y8UiHYPRkwdooUFkxSnID6w4RPg11xiPXQryw4dJkG9vLgNliwU5wzAMsyZhQc4whuTzJOwrFZdDfvo0LTDsnedo+60c8rF8LZLV7XbIR0aMWqBrFIsOh7zZRL1mARBdQW7gkK8U6BiMHn2GFhocAynIz54Fas0svv2a38crNz0Zacp72RnywAGgjBIKjQWgDBbkDMMwzJqEIysME4GJCdLemiB/9lm6lZWjIRSLDkFuK+tSttqdAjSCQ16pGDdm8TA87MiQA6jbfbyLWXNBXu0UMI8pFF84RAsN2kgWi9Tl5YUX6P5Tr/st4POfjzT2iQk6ATl4kBzyfIMz5AzDMMzahQU5w0RgYgI4f54iKw0U0BkZBZ5+mv5o2LavWCQx2+lAKemJXCWSQ+6MfcQV5FpkBUCzQiHy4awMk/tnYJyCvNEAXoAdO5meNsrNCEHjl4I8QvtxRSZDr8XJkyTIsyucIWcYhmHWLizIGSYCk5MkyJeW6L61+ZJuHj2CIAdsl9xWo+OZciSHfGKCbpMIcq2oE0BjmWz7YsYW5AYZ8moVOAZ75qXt2423PT5OcwEB8QQ50E3H1HJjyJSXqR98hNk+GYZhGOZCgQU5w0RgcrI7DxAAiO3bSKEDwI4dRuuQJnKtBuXojonlSDP8jIxQ7GNxMX2HXAnygMiKc6bNahV4HHa17FVXGW87qUMOdPW/NTFJZyYnT0aaXIhhGIZhLhRYkDNMBJwOeaEAZHbaqjCfN27bp01bb6vRMZS7Kt/A5ZWxj1QiK7bC9gjyAIfcWVBarQJfxLvQvvYG4N/8G+Ntj40Bp07R73FNbXX+MzdHPeXbbePCWoZhGIa5kOAuKwwTAacgHx8HcP319IdCgSxrAzRBvpGU9BiWuzkYQ4U6Pt51yA3af3twR1ZaFYqsFISZIF9Zoec/gRvQeuQxZCO0XXTu4vR01JETcsLVzuwcYMf42SFnGIZh1iLskDNMBKQgV3HlV7+a/vChDxmvQ8uQZzIoixJGOw5BLgPiIciOL3LG+Ki4IyutFRLipoJctlzMZAIfGkgagvz97wfe+lbgHR90dLcx7HTDMAzDMBcS7JAzTAQmJ0kAnzxppyP27KGG2hFyF1qGHEAZYxi1yqTygcgO+eJity93FNwOebtKQnxI9J4YyB1ZGR6O3gNdOvpCxHP3ARLyX/oSgCOO7P7u3fFWxjAMwzADhB1yhomAc0IalY6Yng4sgPRDi6wAWEYJI22HQ25Y5Sgd8vPnjU11zzj8MuRD6O2QO2cJlYI8KrIgU/YkT4SzmHbXroQrYxiGYZjVhwU5w0RACt+jR+PHld2CfMkaw3C73K0UNejlDZBDPj9PkwPFcciLRaDVAtpZEt6darQMuXOW0Khs20a3mTQ+gYQA/uIvgH/4h0gnRgzDMAxzocCRFYaJwNRU9/ekgrxeJ0FcRgnTrWVHpagZExN0YgDEj6wAQN0awgi6kZW8Fa3LShyH/EUvotsrr4z+XF/e856UVsQwDMMwqw8LcoaJgHR2AWDnznjrcDrk9TrNNFlsnoglyDud7u9xx1FHASMAOrXVE+TXXEOm9s03R38uwzAMw6w3WJAz0Nx2UwAAFg9JREFUTAScceVLL423DmdRZ61GDnmhWY4syJ3FkBs3Rh+HyoK3h7ABXUGe60RrexgnsgKwqc0wDMMwEs6QM0wEnNGQG26Itw4/h3yoHj2y4pyHaPPm6OOQrRJXWiS8rVod+TyQafUW5Pk8FWLKDHkch5xhGIZhmC7skDNMRP7mb4B9+4BNm+I935khr9VsQV5bIkEu248YsHVr9/ctW6KPQwryatsu6qw1yL1v9BbkQLdlYrWq5+oZhmEYhokOC3KGici73pXs+U6HvFYD5jGNfL0CnD5N4WpDnJGZOJPryKhJuUkZGqveoLFJQd6jY4lTkMeNrDAMwzAMQ7AgZ5hVxpkhr9eBM7DbtRw/Hql1y/btNH38ddfFax8oHfJK03bCG+YO+cgIR1YYhmEYJi1YkDPMKuMU5NWqQ5ADkaszn3wy+iyZEinIyw1beNfrsSIrLMgZhmEYJhksyBlmlcnl6KdWo0l9kgjyJBPrSEG+XI/ukHNkhWEYhmHSg7usMMwAKBYprlKpAEews/uHOO1SYuLOkIumLcibTfpDLvh8fXiY4iocWWEYhmGY5LAgZ5gBUCh0HfLjcLRIufbaVRuDiqxUs0AmA9FwRFaGhnpmYYaHgfPnaWIiuR6GYRiGYeLBgpxhBoB0mMtlwEIG5V/6EHDHHXpz8T4jHfJKBSTAmw1yu6Ug78HwMHDiBP0eZ5ZQhmEYhmG6cIacYQbA2BiJ8UqF7rf/6B5glYVtJkPRGSXI6w1yuw0E+fh4V5BHmMuIYRiGYRgf2CFnmAEwNgYsL5MoBwYX+xgdJacehQJEs0GuuYEg37Ch+zs75AzDMAyTDBbkDDMApCCvVEj79qif7Cujo12HXDTrxg755GT3dxbkDMMwDJMMFuQMMwBKpa4gL5UGNw6nIM+wQ84wDMMwA4EFOcMMAGdkZZBdSkZGbEFeKCDTMs+QOx3ymZm+DpFhGIZh1j0syBlmADgjK4MU5KOjdqeXoSFkOw5Bns/3fJ6zXfqmTf0dI8MwDMOsd1iQM8wAcHZZGWRkZWICWFoCOrkhFFA3jqzs3t39PZvt7xgZhmEYZr3DbQ8ZZgCMjdFMnefODdYhn5gAFheB9uwQhmA75LUazVzUg5076UTila9clWEyDMMwzLqGBTnDDICxMbo9eRK45prBjUMJ8s2FrkNerYY2Fx8aoj7kPEsnwzAMwyRnIJEVIcTvCyGeEUI8IYT4shBiMuBxrxVC7BNCHBBC/PvVHifD9AsZUzl58sJwyJu5YQyjSmOpVmkqzhBKJUCI/o+RYRiGYdY7g8qQfwvAtZZlXQ/gWQD/h/sBQogsgE8BeB2APQB+QQixZ1VHyTB9QjrktdpgM+STk0CnA1TFCEaw0nXIDQQ5wzAMwzDpMBBBblnWNy3Latl3HwSw1edhtwI4YFnWIcuyGgC+CODNqzVGhuknUpADwPT04MYhe4iX2yTIozjkDMMwDMOkw4XQZeX9AP7ZZ/klAI467h+zl/kihLhbCPGIEOKRM2fOpDxEhkkXZ0R7dnZw45CCfKk9yg45wzAMwwyIvglyIcS3hRBP+vy82fGY/wigBeALfqvwWWYFbc+yrM9alnWzZVk3zw5S4TCMAc4+3oN8u8oJfs41HA55rcaCnGEYhmFWkb51WbEsq2dDNCHELwF4I4BXWJblJ7SPAdjmuL8VwPH0Rsgwg2PLlu7vc3ODG4d0yBeqtiAfsdghZxiGYZhVZlBdVl4L4GMA3mRZ1krAwx4GcLkQYpcQYgjAuwB8ZbXGyDD9pFjs/j7otocAcLo8ggwsjGGZqjxZkDMMwzDMqjGoPuT3ACgA+JagvmkPWpb1a0KILQD+zLKs11uW1RJCfBjANwBkAXzOsqyn4m6w2Wzi2LFjqNVqaYx/XVIsFrF161bkQ6ZNZ9LhQx8C/umfgO3bBzcGKchfOD9C91vztIAFOcMwDMOsGgMR5JZl7Q5YfhzA6x33vwbga2ls89ixYxgbG8POnTshuHmyB8uyMD8/j2PHjmHXrl2DHs5FwR//Mf0M8u0oO7ycWiZBnltkQc4wDMMwq82F0GVlVajVapienmYxHoAQAtPT03wFYRURYvAT6xQKwNQUsAIS5JhnQc4wDMMwq81FI8gBsBgPgY/PxcmmTSzIGYZhGGaQXFSCnGEYL1u2sCBnGIZhmEHCgpxhLnKuvpoFOcMwDMMMEhbkawTLsnDnnXdiaWkJAJDNZrF37171c+TIEdx777144xvfCAD4/Oc/j9nZWezduxdXXXUV/vAP/1Ct65577sGf//mfD2Q/mAuPl72MBTnDMAzDDJJBtT1kIvK1r30NN9xwA8btOdeHh4fx2GOPaY85cuSIdv+uu+7CPffcg/n5eVx55ZV4xzvegW3btuH9738/7rjjDrzvfe9breEzFzDveAfwxkdHgBvBgpxhGIZhBsBFKch/8zcBl5ZNzN69wH/7b70f85a3vAVHjx5FrVbDb/zGb+Duu+/Gc889h1e+8pV44IEHMDU1hZ/92Z/Fb//2b+PVr3619twvfOELuPvuu2ONbXp6Grt378aJEyewbds2jIyMYOfOnXjooYdw6623xlons74oTrkccufMRQzDMAzD9JWLUpAPis997nOYmppCtVrFLbfcgre//e3YsWMHPvaxj+HXfu3XcNttt2HPnj0eMQ4A9913Hz7zmc+o+9VqFXv37gUA7Nq1C1/+8pcDt/v888+jVqvh+uuvV8tuvvlmfP/732dBzhAjtiA/e5Zu2SFnGIZhmFXjohTkYU52v/jkJz+phPPRo0exf/9+TE9P4wMf+AD+7u/+Dp/+9Kc9MRTJwsICxsbG1H2/yIqbv/3bv8V3vvMd7Nu3D3/6p3+KosP1nJubwzPPPJPCXjHrAjsKhRMn6HZ0dHBjYRiGYZiLDC7qXCXuvfdefPvb38YDDzyAxx9/HDfeeKOahGdlZQXHjh0DAJTLZd/n53I5dDqdSNu866678NRTT+H73/8+PvrRj+LkyZPqb7VaDcPsgjKSoSFyxaUgn5gY7HgYhmEY5iKCBfkqsbi4iA0bNmBkZATPPPMMHnzwQfW3j33sY3j3u9+Nj3/84/iV/7+9+4+xqszvOP7+RMDBBRVwwdFpXbIriHUHqKOFGtRaYGnZrGxjrasFs4lD2GxTrTEd+IOaYptoUyySptJmC2xcutu6G1oykm3BZYC1oAwZfrjyY1xAQYgoqCvB2QT59o9zmA7DvfPjzmHu3Hs/r2Ry7z3n+Z773G8eHr4597nn1NfnjB8/fjyHDh0q6L2nTp3K3LlzeeGFF9q3HTx4kNtuu62g41mZuvba5HHIEK8hNzMz60cuyPvJrFmzOHfuHLW1tSxevJgpU6YAsHnzZnbs2NFelA8ZMiTnJQlnz55NU1NTwe/f0NDAqlWr+PTTT4FkTfr06dMLPp6VoQtnxS8U5mZmZtYvFBHF7kPm6urqorm5+aJt+/btY8KECUXqUd+dOHGCefPmsWHDhj4fq6Wlheeff56XXnrpkn2lnifrg6lTYft2uPlmOHiw2L0xMzMb8CTtjIi6vh7HZ8hLRHV1NfX19e03BuqLDz/8kGeeeSaDXllZGTUqefT6cTMzs35VkVdZKVUPPvhgJseZMWNGJsexMnPDDcljdXVx+2FmZlZhfIbczBI33pg8jhlT3H6YmZlVGBfkZpZIbzTFxInF7YeZmVmF8ZIVM0vcfz/s3g3+Ua+ZmVm/ckFuZv+vtrbYPTAzM6s4XrJSIiKC++67r/0qK8OGDQPgyJEj7Tf4aWpq4pprrmHy5MnccsstPPXUU+3xjY2NPP300/3fcTMzMzPrkgvyErF+/XomTpzI1Vdf3WW7adOm0dLSQktLC42Njbz22mtAcmOhdevWcfbs2f7orpmZmZn1UGUuWXniCdi1K9tjTpoEy5Z12WTOnDkcPXqUtrY2Hn/8cebPn88777zD9OnT2bZtGyNHjuSee+5h8eLFzJw586LYNWvWMH/+/B53Z+jQoUyaNIn33nsPAEnce++9NDY2Znb5RDMzMzPrO58h70crV65k586dNDc3s3z5ck6dOsVNN91EQ0MDCxYsYOnSpdx6662XFOOQ3Or+9ttv7/F7ffTRR7S2tnL33Xe3b6urq2Pr1q2ZfBYzMzMzy0ZlniHv5kz25bJ8+XLWrl0LwNGjR2ltbWXUqFE89thjvPzyy6xYsYJdec7cnz59muHDh3f7Hlu3bqW2tpYDBw6wcOFCrr/++vZ9o0eP5vjx49l8GDMzMzPLhM+Q95OmpiY2btzItm3b2L17N5MnT6atrQ2As2fPcuzYMQDOnDmTM37QoEGcP3++2/eZNm0ae/bsYe/evbz44osXFfhtbW0MHTo0g09jZmZmZllxQd5PPvnkE0aMGMFVV13F/v372b59e/u+hoYGHnnkEZYsWUJ9fX3O+PHjx3Po0KEev9+4ceNYtGgRzz33XPu2gwcPtl+RxczMzMwGBhfk/WTWrFmcO3eO2tpaFi9ezJQpUwDYvHkzO3bsaC/KhwwZwqpVqy6Jnz17Nk1NTb16zwULFrBlyxYOHz4MwKZNm5g9e3afP4uZmZmZZUcRUew+ZK6uri6am5sv2rZv3z4mlPAdCE+cOMG8efPYsGFDQfHvv/8+Dz/8MK+++mqX7Uo9T2ZmZmb9RdLOiKjr63F8hrxEVFdXU19f335joN569913Wbp0aca9MjMzM7O+qqirrEQEkordjYL15frhd9xxR7dtyvHbEjMzM7OBrmLOkFdVVXHq1CkXnXlEBKdOnaKqqqrYXTEzMzOrKBVzhrympoZjx47xwQcfFLsrA1ZVVRU1NTXF7oaZmZlZRamYgnzw4MGMHTu22N0wMzMzM7tIxSxZMTMzMzMbiFyQm5mZmZkVkQtyMzMzM7MiKssbA0n6FDhQ7H6UieuAD4vdiTLifGbL+cyOc5kt5zNbzmd2nMtsjY+I4X09SLn+qPNAFndNMpDU7Fxmx/nMlvOZHecyW85ntpzP7DiX2ZLU3H2r7nnJipmZmZlZEbkgNzMzMzMronItyP+l2B0oI85ltpzPbDmf2XEus+V8Zsv5zI5zma1M8lmWP+o0MzMzMysV5XqG3MzMzMysJLggNzMzMzMropIpyCVVSXpD0m5Jv5D01+n2sZJel9Qq6d8lDckTv0jS25IOSPpa//Z+4Okin2vSHL0paaWkwXniP5e0K/1b17+9H3i6yOdqSYc75GpSnvhH0zHcKunR/u39wNJFLrd2yONxSf+ZJ95jMwdJV0hqkdSYvvbcWaAcufS82Qc58ul5sw9y5NNzZ4EkHZG0N81Jc7ptpKQN6bjbIGlEntjejc+IKIk/QMCw9Plg4HVgCvAfwEPp9hXAd3LE3grsBq4ExgK/BK4o9mcaoPn8w3SfgB/mymcac6bYn2Eg/XWRz9XAA93EjgQOpY8j0ucjiv2ZBlouO7X5CTAvT7zHZu68PAn8G9CYvvbcmV0uPW9mm0/Pmxnms9M+z529y+UR4LpO2/4OWJg+Xwg8lyOu1+OzZM6QR+JM+nJw+hfAfcCP0+3fB+bkCL8f+FFE/DoiDgNvA3de5i4PaPnyGRHr030BvAHUFK2TJaSL8dkTXwM2RMTpiPgI2ADMugzdLAnd5VLScJJ/9znP8tilJNUAs4Hvpa+F586CdM4lgOfNwuXKZw953syhq3x67szM/SRzJuSfO3s9PkumIIf2r2F2ASdJPtwvgY8j4lza5BhwY47QG4GjHV7na1dROuczIl7vsG8wMBf4aZ7wKknNkrZLyjUYK04X+fxbSXsk/YOkK3OEenx20tXYBL4JvBoRv8oT7rF5qWXAXwLn09ej8NxZqM65bOd5syD58ul5szB5xyeeOwsRwP9I2ilpfrptTEScAEgfR+eI6/X4LKmCPCI+j4hJJGcf7gQm5GqWY5t62K6idM6npNs67P4nYEtEbM0T/puR3Hr3YWCZpC9f5u4OeHnyuQi4BbiD5KurhhyhHp+ddDM2v0WyLCAfj80OJH0dOBkROztuztHUc2c38uSyI8+bvdBFPj1vFqAH49NzZ+/dFRG/DfwB8F1Jd/cwrtfjs6QK8gsi4mOgiWSN7rWSBqW7aoDjOUKOAb/R4XW+dhWpQz5nAUh6GvgiyTq0fDHH08dDaezky93PUtExnxFxIv0m+9fAKnJ/3e/xmUeOsTmKJIevdBHjsXmxu4BvSDoC/IjkK+tleO4sxCW5lPQD8LxZoJz59LxZsK7Gp+fOAnTIyUlgLUkO35dUDZA+nswR2uvxWTIFuaQvSro2fT4UmA7sAzYBD6TNHgX+K0f4OuAhSVdKGgvcTLLOr2Llyed+SY+RrH36VkTk+soLSSMufIUo6TqSSeCt/un5wNRFPi/8oxXJOrM3c4T/NzAzzesIYGa6rSLly2W6+49JfqjUlifWY7OTiFgUETUR8SXgIeBnEfEInjt7LU8u/9TzZmG6yKfnzQLky2e623NnL0n6QrruHklfIBljb5LMixeumpJv7uz1+CyZghyoBjZJ2gPsIFlX2kjyVdaTkt4mWRf5rwCSviFpCUBE/ILkigJvkazt+25EfF6EzzCQ5MvnCmAMsC29zM9fAUiqk3ThRyITgGZJu0n+U382Iir6Hy7587lG0l5gL3Ad8DdwcT4j4jTwTBq3A1iSbqtU+XIJyX8yF33l6rFZMM+d2fG8mS3Pm9nz3Nl7Y4Cfpzl5A3glIn4KPAvMkNQKzEhf93l8KvlRuJmZmZmZFUMpnSE3MzMzMys7LsjNzMzMzIrIBbmZmZmZWRG5IDczMzMzK6JB3TcxM7NyI2kcyR39TgIbI+JnRe6SmVnF8hlyM7MyIul/82xfLemBDpv+HPhn4Pp8xbikZV3dmU7Sn0n6dp86bGZmvuyhmVklkLSa5MYgP+5h+5HA+oiY0kWbq4DXIqLi7+hnZtYXPkNuZlZGJJ1JHyXpHyW9JekVYHSHNr8vqUXSXkkrL9yhr5MHSG4GdCHm2fRYeyT9PUBEnAWOSMp1a3MzM+shF+RmZuXpm8B44KtAPfC7AJKqgNXAn0TEV0l+S/SdHPF3ATvTmJHp8X4rImpJ75yYagamXZ6PYGZWGVyQm5mVp7uBH0bE5xFxHLiwTnw8cDgiDqavv5+27awa+CB9/iugDfiepD8CznZodxK4IevOm5lVEhfkZmblK9ePhNTD2M+AKoCIOAfcCfwEmEOHpSxpm8/60Eczs4rngtzMrDxtAR6SdIWkauD30u37gS9J+kr6ei6wOUf8PuArAJKGAddExHrgCWBSh3bjgDcvQ//NzCqGC3Izs/K0FmgF9gIvkhbdEdEGfBt4WdJe4DywIkf8K8C96fPhQKOkPelx/qJDu7uAjZeh/2ZmFcOXPTQzs5wk/Rz4ekR8nGf/ZODJiJjbvz0zMysvLsjNzCwnSb8DfBYRe/LsnwG0RsSRfu2YmVmZcUFuZmZmZlZEXkNuZmZmZlZELsjNzMzMzIrIBbmZmZmZWRG5IDczMzMzKyIX5GZmZmZmReSC3MzMzMysiP4PRb/FkH1MHYkAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 8))\n", "plt.plot(tint, axf, label='ax (FIR)', color='b')\n", "plt.plot(tint, axf1, label='ax (IIR)', color='r')\n", "plt.xlim(xlim[:])\n", "plt.xlabel('idő (s)')\n", "plt.ylabel('m/s^2')\n", "plt.title('kerék érintő irányú gyorsulás, IIR és FIR szűrés eltérései')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 8))\n", "plt.plot(tint, ayf, label='ay (FIR)', color='b')\n", "plt.plot(tint, ayf1, label='ay (IIR)', color='r')\n", "plt.xlim(xlim[:])\n", "plt.xlabel('idő (s)')\n", "plt.ylabel('m/s^2')\n", "plt.title('kerék sugár irányú gyorsulás, IIR és FIR szűrés eltérései')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jól látható az, hogy az IIR szűrő nem lineáris fázis átvitele miatt a szűrt jelek fázisai megváltoztak, ami a görbék eltolódásában jelentkezik. Ezért ahol a fázis információ lényeges, ott igen fontos lineáris fázis átvitelű szűrőket használni.\n", "\n", "Meghatározhatjuk a fázis eltolódást a keresztkorreláció függvény maximumát megkeresve." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "kiszámított eltolás: 8\n" ] } ], "source": [ "from scipy.signal import correlate\n", "\n", "nsamples = axf.size\n", "\n", "# normalizáljuk az adatsor átlagára és szórására\n", "#axf -= axf.mean(); axf /= axf.std()\n", "#axf1 -= axf1.mean(); axf1 /= axf1.std()\n", "\n", "# keresztkorrelációt számítunk\n", "xcorr = correlate(axf1, axf)\n", "\n", "# delta_t tömb\n", "dtt = np.arange(1-nsamples, nsamples)\n", "\n", "ido_eltolas = dtt[xcorr.argmax()]\n", "\n", "print (\"kiszámított eltolás: %d\" % (ido_eltolas))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Megemlítjük, hogy a Matlab grafikus szűrőtervező eszközéhez, az `fdatool`-hoz hasonló eszköz (bár még szerényebb funkcionalitással) elérhető Python alá is. Ez a `pyFDA`, amelyet le lehet tölteni Christian Münker GitHub [oldaláról](https://github.com/chipmuenk/pyFDA). Az alábbi ábrán ezt a grafikus eszközt láthatjuk. ![pyFDA](pyFDA.png \"Python grafikus szűrő tervező eszköz\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 1 }