diff options
Diffstat (limited to 'buch')
-rw-r--r-- | buch/papers/fm/03_bessel.tex | 51 | ||||
-rw-r--r-- | buch/papers/fm/04_fazit.tex | 4 | ||||
-rw-r--r-- | buch/papers/fm/Python animation/Bessel-FM.ipynb | 110 |
3 files changed, 136 insertions, 29 deletions
diff --git a/buch/papers/fm/03_bessel.tex b/buch/papers/fm/03_bessel.tex index 6faae9f..a49b21d 100644 --- a/buch/papers/fm/03_bessel.tex +++ b/buch/papers/fm/03_bessel.tex @@ -198,28 +198,54 @@ Somit ist \eqref{fm:eq:proof} bewiesen. \subsection{Bessel und Frequenzspektrum} Unser FM-signal Fourientransformiert \eqref{fm:FM:fourie} wird zusammengestzt aus den einzelen Reihenteilen mit der gewichtung der Besselfunktion. -Um sich die Besselfunktion noch einwenig Bildlicher vorzustellen, sieht \(J_{n}(\beta)\) geplottet so aus: + +Nochmals zur erinnerung sah unser Träger Signal anfangs so aus: +\(x_c(t) = A_c \cdot \cos(\omega_c(t)+\varphi)\), dabei modulierten wir den parameter \( \varphi = \beta\sin(\omega_mt) \). +Davon sahen wir das sich ursprünglich unser Signal\(m_{FM}(t) = \cos(\omega_m t)\) war. +Wie das Beat zusammenhängt sieht man im Abschnitt ( ref). +Wird es weiter transformiert zur Summe, so erhält man ein +\[ + x_{FM} = + \sum_{k= -\infty}^\infty J_{n}(\beta) \cos((\omega_c+ n\omega_m)t). +\] +Diese Summe nun Fourier Transformiert ergibt +\[ + x_{FM} = + \sum_{k= -\infty}^\infty J_{n}(\beta) \cdot \frac{1}{2} \biggl( e^{j(\omega_c+ n\omega_m)t}\;+\; e^{-j(\omega_c+ n\omega_m)t}\biggr). +\] +Dies ergibt wiederum zwei dirac impulse im Frequenzbereich, aber pro Summand mit der Gewichtung der Besselfunktion indices und deren \(\beta\). +Gegeneüber \textit{AM} hat sich \textit{FM} zu einer Summe mit gewichtungen der Besselfunktion verändert. +Überall wo die Besselfunktion gegn 0 tendiert können wir diese Summand vernachlässigen. +Um dies zu sehn plotten wir einmal \(J_{n}(\beta)\): \begin{figure} \centering \input{papers/fm/Python animation/bessel.pgf} \caption{Bessle Funktion \(J_{n}(\beta)\)} \label{fig:bessel} \end{figure} +Hier sieht man gut das für kleine \( \beta \lessgtr \) nur die ersten Summanden \( n\) zuständig sind. +So kann man mit dem \(\beta\) gut bestimmen bis wo die Summe berchnet werden soll. -Nun hat es in der Reihe drei Parameter um unser FM Signal zu verändern, das wären das Beta, Omega c, Omega m -Gegeneüber AM hatten wir anstatt beta Ac. -Da das Beta unäbhängig von Omega m und nicht in der Funktion selbs ist vereinfacht sich die Berechnung extrem, um herauszufinden wo unser nachrichtensignal sich befindet. -Zuerst entdecken wir was diese einzelne Unabhängigen parameter verändern. +Für ein Beispiel nehmen wir \(\beta = ... \omega_m = ... \) +Dann sieht unser \(x_{FM}\) so aus: +\begin{figure} + \centering + + \caption{Beispiel eines FM Übertragenen Signal} + \label{fig:bessel} +\end{figure} +Nun verändern wir die drei Parameter \(\beta \omega_c \omega_m \) und sehen was sich verändern wird \subsubsection{Beta} -Beat ist wie die Phasenverschiebung Varphi -\newpage +Da \(\beta\) in keiner abhängigkeit zo den anderen parameter steht, und jegliglich die anzahl der nötigen Summanden bestimmt. +So wird es auch diese Anzahl bestimmen was man hier sehen kann. \subsubsection{omega c} -\newpage +Dieser ist unser Trägerfrequenz auf die unser Signal aufmoduliert wurde, diese bestimmt die Frequenz in welchem sich das signal befindet \subsubsection{omega m} -\newpage -TODO Grafik einfügen, +Dieser parametr hat unsere bandbreite auf welchem unser Moduliertes Signal \(x_{AM}\) befindet bestimmt, auch im FM wird es wieder die Bandbreite bestimmen, was wir hier sehen. + +Nun einmal das Modulierte FM signal mit dem \(\beta = \omega_m = \) berechnet: + -Nun einmal das Modulierte FM signal im Frequenzspektrum mit den einzelen Summen dargestellt TODO Hier wird beschrieben wie die Bessel Funktion der FM im Frequenzspektrum hilft, wieso diese gebrauch wird und ihre Vorteile. @@ -228,7 +254,8 @@ Hier wird beschrieben wie die Bessel Funktion der FM im Frequenzspektrum hilft, \item Im Frequenzspektrum darstellen mit Farben, ersichtlich machen. \item Parameter tuing der Trägerfrequenz, Modulierende frequenz und Beta. \end{itemize} - \newpage +\newpage + %\subsection{De finibus bonorum et malorum %\label{fm:subsection:bonorum}} diff --git a/buch/papers/fm/04_fazit.tex b/buch/papers/fm/04_fazit.tex index 598f258..26f541d 100644 --- a/buch/papers/fm/04_fazit.tex +++ b/buch/papers/fm/04_fazit.tex @@ -9,6 +9,4 @@ Ohne die Besselfunktion könnte man die Einzelen Peaks der Fm nichicht sounabängig von einander berchenen und herausfinden. Da die Besselfunktion schnell abklingt, brauchte es auch wenige Besselkoeffizente um das Nachrichten Signal wieder zurückzugewinnen. -TODO Anwendungen erklären und Sinn des Ganzen. - - +TODO Anwendungen erklären und Sinn des Ganzen.
\ No newline at end of file diff --git a/buch/papers/fm/Python animation/Bessel-FM.ipynb b/buch/papers/fm/Python animation/Bessel-FM.ipynb index d631ef8..25aac2b 100644 --- a/buch/papers/fm/Python animation/Bessel-FM.ipynb +++ b/buch/papers/fm/Python animation/Bessel-FM.ipynb @@ -2,10 +2,23 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'sympy'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m/home/joshua/Documents/SeminarSpezielleFunktionen/buch/papers/fm/Python animation/Bessel-FM.ipynb Cell 1\u001b[0m in \u001b[0;36m<cell line: 1>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> <a href='vscode-notebook-cell:/home/joshua/Documents/SeminarSpezielleFunktionen/buch/papers/fm/Python%20animation/Bessel-FM.ipynb#W0sZmlsZQ%3D%3D?line=0'>1</a>\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39msympy\u001b[39;00m \u001b[39mimport\u001b[39;00m \u001b[39m*\u001b[39m\n\u001b[1;32m <a href='vscode-notebook-cell:/home/joshua/Documents/SeminarSpezielleFunktionen/buch/papers/fm/Python%20animation/Bessel-FM.ipynb#W0sZmlsZQ%3D%3D?line=1'>2</a>\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mnumpy\u001b[39;00m \u001b[39mas\u001b[39;00m \u001b[39mnp\u001b[39;00m\n\u001b[1;32m <a href='vscode-notebook-cell:/home/joshua/Documents/SeminarSpezielleFunktionen/buch/papers/fm/Python%20animation/Bessel-FM.ipynb#W0sZmlsZQ%3D%3D?line=2'>3</a>\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mscipy\u001b[39;00m \u001b[39mimport\u001b[39;00m signal\n", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'sympy'" + ] + } + ], "source": [ + "from sympy import *\n", "import numpy as np\n", "from scipy import signal\n", "from scipy.fft import fft, ifft, fftfreq\n", @@ -15,7 +28,15 @@ "import matplotlib as mpl\n", "# Use the pgf backend (must be set before pyplot imported)\n", "# mpl.use('pgf')\n", - "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ "\n", "def fm(beta):\n", " # Number of samplepoints\n", @@ -90,19 +111,19 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "0.7651976865579666\n" + "0.44605905843961724\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -115,12 +136,12 @@ ], "source": [ "\n", - "for n in range (-2,4):\n", - " x = np.linspace(-11,11,1000)\n", + "for n in range (-1,7):\n", + " x = np.linspace(-11,16,1000)\n", " y = sc.jv(n,x)\n", " plt.plot(x, y, '-',label='n='+str(n))\n", "#plt.plot([1,1],[sc.jv(0,1),sc.jv(-1,1)],)\n", - "plt.xlim(-10,10)\n", + "plt.xlim(-5,15)\n", "plt.grid(True)\n", "plt.ylabel('Bessel $J_n(\\\\beta)$')\n", "plt.xlabel(' $ \\\\beta $ ')\n", @@ -128,7 +149,7 @@ "plt.legend()\n", "#plt.show()\n", "plt.savefig('bessel.pgf', format='pgf')\n", - "print(sc.jv(0,1))" + "print(sc.jv(2,2.5))" ] }, { @@ -173,12 +194,12 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 44, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -191,8 +212,69 @@ ], "source": [ "\n", - "y = np.sin(100 * 2.0*np.pi*x+1.5*np.sin(30 * 2.0*np.pi*x))+np.sin(10* 2.0*np.pi*x)\n", - "plt.plot(x, y, '-')\n", + "y = (np.sin(20 * 2.0*np.pi*x)+np.sin(5* 2.0*np.pi*x)+np.sin(2* 2.0*np.pi*x))/3\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nat Modulationsarten" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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77uxuOocGXd+7bbKVBgK6zi7dfimAjnnDIYK1hW4uv+ua4vNGIxBpMMNmiNlytv2mTRhPzkDgLkauEaQXMQ2K0CM9BrZfaJ9cO+Ezy1Qg81DbJIHAbVfLApjZASye1woEJ0YnsKO/A3vn9mYDwfHhcTSmwUWLlhLIOWFa33nqYWg+YZx6BE2Gm+f7DsSTQBQI2I1s2ETAs8c2InCfk9z4hCL4RNGgmxo6snYEewbbwxPjZeydtTcbOVSi4RFB2Ge+b2nAAgAz087mczctPz5jNXZ0AoC53Vjrz2W3O91BScRYjYNYv3AORnM7191XjwgcAtBOcKXAQAFBF31g4ezovV1GCMAF70TUT8VxOq8ROubndp1EprXNtIiArtFt5+Oom7gpEGSvEz7IUbj7Cvc41iVIl7tk0SZjWUrZBY96brd9nLkEupKxKFGBaCOCJzI19FU3XBQnp0QhiqxwCYQTNtSNnbwBYHjCX+QpL+ozrI4bclwOACmzgeDk6CQW+4s4e/ZsHFo91JpEyJJ68eLFAAJ33Pkz1dgiggWeORrUSZbjX2Hfx2/qaEJgGZBmNynP6lPKxbjjrNJA4N7Dg3At0JkpHl47jN0Vy7bHq95B8djKhEDAztF6gUAlk2H6Hv9eFvhGagSQXjK7E8NyEHYhSRROZ3jDghpZIbQ3DwwWoXJBK6Fz6L2eCnKvE1VEAUH17WfS0EZPDASNbqJslX8XDX/v8CRrvAw41NmF/KIxXgFm3YTaQd+2xugUUM0BMztw1PH4u2Z2YedgJ06OTnZOwgBCcNtxsf03CT5knyVEkNUJHAIdu4TAoH0caR9EYizg568pey1XVioub9Z4cgaC0RIw2G6FSQDb+tvaar0blI01ugGIk107ETJ/tX5k59uNK2vvw+I5Fuqym2G1WcVsOYuzZs9CreuWk4kCwdlzZ2NQDNZFBLWugVOPwCzEFEKzmncbaehAGXBEwC9kjhpYUPAUBETMm7IMUCfBllATF6MbIYBMUF6pV7DWrGFPtcA+YNUjAnJy+KEay0MDGDfTBwKTCQQ5RMDP+1iPQyY5sxNrRVj4b21ad8yEEQWCU4/6zF0Ptvlt6Hyl16OfcNx5TakiChCqNwv0w7FVRvmkJrtPpmlx/E0irHpdjJ/P0RJA1+NU1NCypVGBDSCCJftbBttw1Jk8dg12YcfABs4uhyCAENApECTBh6igs+fsOchai0dLQDWH2llDldEtLaFr3uDP14PFCBFooz11u9njSRoIloGZHRg5YXR7f3snIvCBAAaY3QmUg8g+miICGi0RiDSC0vmG51xRnIOexhgP/fbM2tdSGEtFQLsHuzFXzWURAc/ixvUqsHQQOuEqG/edqdCtjQ5cMvsczfzbfGow7EbmdtpoAmHbNMmxopsj0hcgWoV2QAiCewoGjcfL2Na3k+HxUVJ7QEFSVqg1CwSqKxDYG35aRMCfG6txjAhYIOiiHDcyYkRwwE+kigUCOl/+N5l4P+lcp49pqGoO6G8QEdRr0fXQJNcjHeuWRkDX4zSBYLwUtLlpxGWABYLtONXY71jsL/pAMNFksZoEgiT4UPK1Z8beo9yFFr7/FDBYxJgd4xQZdlJDHBFUs9FvVkZ12tUf73hyBoLxMtCfx7DsoYDAfG++ExHQjdUIAfQWAHdy6Cbpulm63ABjKiAhuOuy87EeQxuN2coiAiBM/DRoMtw9uxvzvfksIohsn8uHAJhWIKjdpJXa2qLJH11/s+0ZNcQzzeiYsACr00CQWBgBRw1lgjJxs7t4IGgsVJ6v5tuuL5pk5nZj3CEQ82Nl3A1vMgJfDhHw55RWESJoWCDoyvw2MmhyGDUuELgM2ZR9v40PBB3UEAX4lCryGkFvJkYEWq0fCMYr4N/WJNoOHeu1Zs0iFmPsxO4RwRTU0GgZmNluCzk3Ggj6C1hyCdhCbwE7+1ZTOZFQWtEgY8HCuYCQLUSwUq+glCUWe4v+t3V9f800yHTi7zRsMHRc9+aAcfjNWuvYiruJ40kaCFaA3gJGZYUeBGaKmXXFYhsI5iw/O171k1iXxa4TEbiKZMzusv+u2AmOKISZciYEgtV2IJiv5jFTzmC2nM3C0sjtQ43GZmJRUXVU7naJxZFewLbniMBPMJCxtsGye9XkEUEUCKo5S+kk+ghB8m3EkfYWfMDY1t/W5mpp32Z3Y8x42CgQsHOnR6cAiIh3p9+RpYZSe+3aMYsWe7PQReBxN1MjaEyDZumgp4b4eaHf0tIEOnj71EaqqlmYXqh/UEat7xqq1+x9Qe9JaLDWMapXLbU4b6/v6RDBsr3nqtnpi9AoEFQzWHb040K1EBDBaAIiGC/b7ypK+xkZRDBXzWHWOfGy1NDwlA0E7NhEtTgIx6ZV98E+rykHUbBsTLNFDW3qqNeAaoBRUWEAiUE5mIIaggsEs0C94umSru6XbY3AIQKK6HMuEDiahiDmbDnrYWdKDR1ZO4LdMxZJDMpBNnjxC065i1jPbPfPmaIP47IenYhY2gSNoNNBxLQtXrFMk1Ihi/hzI0SQcMhu8uLf1fSdPS7ZltppzMMdv/6C3yYbCGjSmN0RBYIu+6gerwC9OWii7thvWjcQkIPGBVwlAyJIJ4DTGbE1twbm7ETKj1tKsxEC8DSd+4feQ7/Ni8XVDBRzO2mjYySYoAMfCPhzCU0SVafrOiQFlARNFQhWgP48UA02Hgh6s1gSAv2ij6qofCCgWoDO7+u54zDY1ipiW61XMVfOeffORETAaJyWduMet55nqKquBhEK2tIINns0I6AcYCRL9GAn1S5qyEduIdwFOQuMV/xNwrMyPmGmSIGcK2NXdp5SQ/T9M+UMekUP2/vbW4jg8OphHwj6Rb9VwMP3FwCUg8CGc8lze0IgMO1AkPub/0bFqmMijUDnj0OECDo0gigQUM1DEpgJEcwLFgjcZ2/vb28LgDQBD7bHiEAlkxN9b7MGlANro6SPmID6Wshi9bjVkBAHgokOlSlHrKHAT6TReUmCVkpdUkBIn/eBv5oJx959Xtc1AASxmCOCJkUE6bGmc0rXY4e+5ocxdiKsZoFq5jQQwRyWpMR8ZSd2ryetFwjoOPS3Zamh2Wp2ikCwiDFTULo0ghaVxxFANYiC5ZZGsNlDjYCyj5EsMDDAoMhn10BSCNabt9nCeLWVWQETvPQIiMDDxf6C5T2d/5wHAgA4a/aslhPm6PCoRwuDYpAVqqNAMGojAj2zPeL2+egKBHxi52SBzojFACYggviY0HuiY0iVk0mQo+K5BbDjR4igt60dCOj9g20RRO/SCHS9BlQzUBwRZMTs3HuVVnbCcGKrmkAJnM6Ijo8QPuDkJmrfUsKdM/rXB4TksSTtoJqB6gVEoHRMDaXIV2kF1GtQDCGm9SmtflU+EGx3b1hHSKdzWA68NjfVqFd88FiWAguuCKuSFRZ7i5PF4nrV3ueAtdMm1NBqs4rZahalLNGTvQ6x2AaCms0HXdSQThxFNbun6iQQaKO3AsGmjmYIFH2MpEAftgNg1w3rIzecRlBZaihXFcszoPTGGVMdAd1cQgBzuwM15C5y4h73zO7BobU4EBxZO4JdMzYb7Jf9bPCK9mF0CpBVVFmsZ7bDjPM3VBc11KkRsBuZO4VSRCDcQ5VkRWn2CriLH8gign7RR48cTP15P1Es9hd9q+iw0yEQdGoEfDJvhkDZh8khgmk0gtEpu09IronNRgQCnoLKUUO+yVwixKeIwFNDRBmVfTRl/NsnIYJa1xYRsAKnpunWCCJqqDdnhdh6vUDgXi8HG0ME9dBu37OIYIHt4/b+9va1wsd4OVBD7l7ng6ghAJipZvL24JHVCPicMsk1FP3Nvq8u+z4QGGMsNbQlFm/iaBwiEAJ9Y1DJaoKKz6ihdRBBlLl1NP/iGRRmdwWxOEUEM2dF1NBqvYqVeiWihnK6RsR7j5aAud3QbJLW/UXojvoDDe37onRN7JpNqlEg6KpEbob+IlMdPnOOILoQwVK9hIVeQAGcGpqtZtsOqiZQQ3wKmxwIZqCY0JtOrnxENlTTWHeLyyQ7+y6d5mjZa3OIwCUSLQoICRIgStP9NjqbqujZAiY3tNHRNZBezwaWtvGBG20zQKTHcERQzdjJfWpE0LeT8nrb+/cNPYpYlhLzLLgv9BY628kAcBqBS5x6bYGaxGLA3qstRKC1q1Na7O7gi+7rsOGBoAhOKTqfWxrBZo4kEPSKXqfNz7eGELAXY89C1Fy2GHHdyY3jb0D+5MwOL0blqKGjw6P+c8g+6cXiDmooCkbjJWB2d0z5DBYjbj/aR52nhroQgWY3Pk0axpi4jqAZ+clGJ5Oiz1rZ9zZUlZsGgvES5qt5Fgi2+ax/rpxDrev4HHqNYJvNot3oqiPwiKCcjAhafn24SXW87O2Xyij0yce/CfbRaEIRsNcNknPkCo/SBCUNAPTYIwJ6f1FCy1gon4QIiBpaDxHQ+ggRIij7LhCsoxFwRFDGwmnnULVdsKeyDq4lKbEgNxIIGDVUxfZNwK7xQah9tpxtawT1CgAD9ObjQsmOAlMgRQTcNdS3v1mrYMbYCgSbOFwgGAPoaz0ZEXBqqBq4i2MliwiiQJCIQIq255MkcyVw1xBgA4E22geAI0NXQ0CIoMwjgmh/xsvA3K4kEGyD7rihulwi0YTAhFDDbmROQcTUUNhH1aERxIjA3bQZjWCxtxieJ0RgTLDy8ezMB4LFSODuQm26GVmNgCMC00YEOV3DUkNxIBg4LndT7KO8yEgUnmOP9oGtSQx0awMpYvBBuqigme89rSNIqU5ttE2IqjDJpgWDta799RyJxTSxdxg0wgdyRDAlNUTblDNARYEgnNP1AwGnhmZa1NC6iIC+vzeLWtcYEC2ao9Zyf7PfWNO1yBLPLY1gs4YxNpMs+hjC2EBQVFBGtS524uUAx806nzjGK2FC6OjDHxUrmZAj15w2GWzvRAQkClNRmS8mWwcRRNn1aBmY3R1l6Lq/CNPh1jDG5FtM8KDAVlTin8MRQUwNjfxFpk0NvspUOlkB8GX5LY2gXrI3IH1nfx6AAXTjb8yIHvJ89HxEx3Wdo6ARhEnDB3t+jjNOJ6VqO2H0gkYwQLuL6+kOpVVoETFYtL2qkn1o1uJA0NIIkmMdVixz3yHL+Doxupvugwve9VqkKzRNJhBUPBBwRNBfHxHQud6IWOzpJ6KGBOZFSF4We4uTAwG5lAB3r4fvNMZgrV7z11u/6Le1RdrHygaCmXXqOYDkPLLg6O+1em2LGtr0oRtb1FIOMBYGfa3Qc5A4vWnjildhl9er5gBdQydLAKbbR5NMlD3yQBAQAU3qtHTdWc4rTrUEaSDoF30oo1r7HO1PvQrM7Y6f6y9kWmBl3tuBDrirJuod5O3qpuUa8s4UCCBzA0QN68p8IBg2QxskCVVQFWwzzBf3sIARIQL+XSzTVspaihULdDkNI1dR7ouAnFisjcaMQ06bVUcwcJRZw6zA0flyVuEu22gaGIJG4OoIZNkqIuS/O+07pLVFBE3FqaEkEKg0EKSIYCOuoZn1xWWAIYIBVDXAUErMmnD+p9MICBHMWdTikpexHqMxjUc5/aLfTsbo+6sZjNUYM4gXAvKbdWkEHH2SMNwMvzoQgRDiVUKIO4UQ9wgh3px5/a1CiJvdf3cJIU6w1xR77brN2J+Jg2UlQ2M8NQS0YXzLtkfVxYAPBNNoBJ1c62CbLblXjZ8wfCCYiauLj6wdQSEKbO9vt291E0NaSxBl780QmN0V3+CDhc5WYp0ogP8ulgEaNsl5Dhom9phyjQAALxRLJysAwcef/C6/KEczAmRpoT8ANGN/Y640HBG47+ktdCKC6De6QMDXAc61wKDgEQV3CgQOETSmwYCuqU0KBIQUG9YhNDqvLqFIJ37axheYmZQactsnhYCpRtCNCHjgnEANqTqZ2DeiEfRcIJgGEYTvGLrsmTduXugtYKiG+fPigpvXCEg0dt9LiJOCW7/otzWgFiLII0OekLTQJf1N6LQZeaR/plxD5fqbTB5CiALA2wB8E4CHAdwohLjOGPMV2sYY85Ns+/8TwHPYR6wZY579ePdj6sECwQgKfd34yTc9qa1AANgLEiEQdN0snehAJ4EAAEanMFZjSCFRukxy52AnClH4WoIja0fsc+5CIBFuqIaYR2gNEH2vExajmoD+IliC1Pq9uaZz0aTHqJNpXUOWiTZQQsDUbV0hmpxL9/nJjTNshhgUAxtIir6dHABAjfLUUBci6HJ5NSOgGkQOq1wgoBsy59jxGoFWGBDK3KRAQOe7YY3hov1PigRztBvATAv0XjpvRdU65xOpIaOB8SqamT2g8mLFfqsxxk6ELoDFiMCJxetx/hxBFL31AwcQdIdqBmvutM/o8DsWevYc0WI10fAB3QWAigWCfujtRddbr+itiwi2yQpQw7zGQrvMW53wuYI0m2bot3kiU0PPB3CPMWa/MWYM4N0AXjNh++8H8Keb8L2nN9jFODIafa1QdUTtuAmbu6pcJq4y1FDX350iMgWC4QmM1djf7ICN/LtmdvlAcHDloO9BBIRAkGY2rX0ebI9v8N5cdjlGem+2xQTP2FkGGD1P2aRBQg2Nwmci1hWyGTeJ0aodCCw1NAaKygYD9/l0Y0aebmYz5a6hrgporcaWTuDnUKvWdjlE0CSIQBuNGXed1JNoiClHYzg1lA/6mooHU9dQgv9SFxEFAl1Uschv2olNKzCoETRrsKdSSy2QiMXu3BdTagSppqBjjSk76hA8fCBg+03N4rL0ELnpiBqif93zRD1yjaAdCOj7Z2wgdMiw5bri8wN363FqiLSNesgKAJ+41NB5AB5ijx92z7WGEOIiAJcA+Bh7eiCEuEkI8RkhxGu7vkQI8Sa33U2HDx/u2mz9ocLFODLK2kfdRJVOqqHHPkK1qKNGctRQVwZFJ71nEtHIB4KT2UUnzpo5y4vFjy4/inPnz/WveRQzQSNohP2OqCZg0K0RdBaFsT+5WBwFFKYRpK4hOnQGyFpOowmnIxCsqTU7GTrHl0cEzWgyNVTNToUISCPIncOceyaiZSgA9QM11C8oEEzRT2ed0ejGoiHAdqRM9s/uQ+w3z+07EIv67lPs/8uyNfGn2kgqJkONIxcZn8QIXXeLxTNTaAQJIgCQ9qBqvydk5KsuGM2wy5EQQT4QuIp7bx91pFJCDVFBWbYQ1VNDMxbJuXu6ZSfvQtzcmMAQwf9uYvH3AXifMVF4vMgYczWAHwDw60KIy3JvNMa83RhztTHm6j179pz+HriLsSlKKBhbUOZe6kIEPYhwS3hE0GEjzPxNn9MXsq0RADYQqLGf3Gnsmd3jVyo7sHIA582H+EpBI6WzWohgZnt8cVWznRpBxFt2tKHmYmrUboLbR5M6AjIpahEjgqzwShNLYq/zkyFRQ7QfzJnSooZc5qkEUECgFGVnb6gcIsg1xcsWEtLkQ4hAa1RlH6Ux0TKZpzsa3WDGBQIuzkbHzX1Pl2sofY9/nmylqWsICQKAbk9eqoZhnLXOCPGxRsDF4tNABMD6gaAOiJ8q72dYxj0RETB+3/7rgq4L9N7izTSCSdSQMgoDovSS7brMJJwa0l4sHn1ViMWPALiAPT7fPZcb34eEFjLGPOL+3Q/g7xDrB5s/3MVFi9IMtEHVgQjo4FcQocuiq6TURBF0iD65iF9B2kyLXmOBoNa1dy/RoH5DR4dHMVIjnDN3jn9tGoFb5RBBNegWi2Hy1BDPfrlGIOL30rapRmD8NiJCBLlAoAt38bNzQfUSARH0bJ8mAFBBkIxcQ83YTh5FDwo2EBSymBC4DVDFiKBRDY4sj3BqyAqDch1TaYJjdQRF0UNlTKsj5+mMRjcYuADpC+6S/afakLTHUMvt0xLoHSoTSU+p5DwaYzLU0Dhquc0nMUpQYo3AJQVFNWUdAUcEUwaCJlAz3pLNAsFkRJAEAtIKHKpLxeLJiGAWSiuf3DWJ0K2NRumon9iezAKEYIjgiS4WA7gRwBVCiEtgA8D3wWb30RBCPBXADgCfZs/tALBqjBkJIXYD+DoAv7IJ+9Q9fCCwB7lnDCpa5q8TEQD+NCaIIBJ6OuCeRwSyAHQDpRVkIddFBGfNnoVT41O469hdAIDzF873r1XuBpykaygAGGyDXj4RnisHUSvprvd2agRFFVoaZ95rkEwgXEAEosVpstm1p4bCcaVAEDSCnu0XDwDMWhllZ2pkt5MFlJAohIAQRbdbw9WJNOz11/3eZ7B08mH0z3oAPdc5+Vc/dDt++PnzCSJwkw9rMVGUtpKgmcbyuM5oTIM++dG5a4sHLaKGMBkRpIHCawRGt85/Sg21bLSqDlkrEmuum9BmqkQsLgfWfbdhRNCLn+t8T6gjWFu21usZtl9cLJ70Xvtv7BpKNYJe0cNYj239DfGfDBE0JlB66VoNyihURYWmaZK5Ih8IzrRY/LgDgTGmEUL8OIAPASgAvNMYc5sQ4hcA3GSMIUvo9wF4t4lXu3gagN8RQmhYdPLL3G10RgYtOu8O8sAY9NwetRCBu4AqI3zGJNyNSOzWNIjABxRRAhihMQ0qVHblJcAHgqqINYLLtlmW7IP3fRAAcMX2K/xrXdRQjAicWLx0X9gXgaixWvrenGsoQgSyAvXJ6NQaIkoBsVicq0bmn083VAYRRIGAIQIpJCpZxU34CBHAWiMLuEDQZR8FsP+Ewn/6wpcBV6Lwwsu240XnPh2fPP4p3HjMPvfR2w/gups+hauuvAe0NIIPBKzpXFFYaqheL+tdZ9AEPXDgvc6sl2APw3QaAU3mKTXEX6PXUwTQutbVOAoEOpMURaYG0ncAew7Xa7+RRQTrBAJWWewRAUsqJgYCuubouxKxONUI+kUf2mh7P4tQBQwgIAL3e9MW3dpY2/oa1hKNIO8aOtMawWYgAhhjPgjgg8lzP588/k+Z930KwDM2Yx+mHoQI3IRjEYE9yF3Ca8W82aWDutyVoY1tD9tJO7iTW6VQsDdvuzAOT2KkRy1q6Gm7ngYA+Kt7/woL1YJfMBvoFovjLLdo0R1aa+iOrLJL7I6opaJkgUCsvz1A7tGpEIH/TPa71pS9iSKxmIKmu3kHxSCuqSB3EYCGAoHsRgSNEPitf3gEzd5Av73pmkvxNWdfgoOfnfOB4E/f9Hx89s4efuPGLwLOfdgQ5eEyyMY0KMo+StPmhjc6aH9nqLI4aQzn/3YTTcs1lKwy1raVhsdxu3HTOqdZsZhNTLnrnwKBNjogAmDKQMBdRoQIpqSGqrDGyCwLBINigFKWeWrIIxD3XQkiSO2jPMh5o0e9BggJLQsYGG8aUEmnYAoE9DcNYxQqY3tKcUTw1aARfHUNHwjsQ44IOqkhfvOU/eg1IH/TRZYwRw/0HO3hbxghbA/74UnUqm5RQ+fMneMLy56z9zkBfoIhggmuIUUZcXKD8sZq/OaOhNQOBxEXi1VGIwDSoBCGFvlAENNZ7h0ZasiKxbWjhkgsttv1y36GGnLnShQoYLOpSYjgBVeci3//zU8NH5GhVwaVxJuuuQw/9YqAzu4/egqGKA+3fVEMUMBE3vrTGXR+qWdNk+mOCgC6iQOB/zdpNtfSDti1HZ/ztjgcu6dshb6JXEPdgaDRTYIIqun4/qJnW2psGBEMGCII94gQAgvVgl/fIhrMUQiABYIgFley8sid7tfouqvXLBogRESFgE1by/P6QVJnRGfYFzc2o//tXEP/9MNNKhQIesagR4ggyVCIlyMNQRnV0gj4312TjHKZRD+XxfcXgNFyViMQQuB1T38dBAS+9ynfG73W6RriAchlNnGGbiJE0EUBxZNkxt4JRKtTdSILAZBryAAwTbvFRDzhaEAU0SRBN/SgJNdQZauLAZ9VthwczdhndkoWKCFagWDI9kVB4LtecDlKdp9lxWz391w/3Don14ZY0SWGdaALi7LnEMHjCwR0DfYp02dicRR83WSVZvypOJwGBrDH0e9sRq1kILpWaN0D3qjOtJ0wdJ02pskgglFETbV/fAjmPoCsiwhCZbEPBE18j8z35v3Sp/n3pt9p5wzecA7oqOVp1rw+AAB9qv9IApg22t/v8fWlvHlFMd1hCxFs9iBE4B4OjEHlJvLUgUOTas9VJiodAkEOEXSKxS776FFxCa8y7C/YymI9blFDAPDD+34Yn/6BT+Oa86+Jnp8KERR59MI1gpQOyD3P03rFCog4+5wtLoN1CvG/10UERtmJnv2uSCPQjQ0ClBlTxpw24WOIoBHSIgJGDa2OG1x/+2NhcycW5+yluUDAA+7ehRLLqsSb3vV5jBttxWJZocImBAKXLdKCPLyOI7rGmiFgTEsD6AoMuXUKUjtt+rsjZOgCcGwf1a2/uxFBjOjyP37Y3n49ROCWHIUQWGvWUBigSt4zX83nEUErELig5RD9ar0aBYJuRDDjrzNCBOkyrY1u/D2c1hFUblr2zzYj/3lbC9Ns1nAnZMhon0qvoxG4bX/nE3fjTe/+MgDgJLMUvvvG+3FsZTwBEViOsXIXTlRL0JsHxnlEQINffDQInraCF//eMsdBxoggpXRy9tEIETBqYipEwPcNMTWU9sXx3yuriD/2GkExcIGgisRiINOWOxKLJSQCNWSMwc++71YcWQnbawAoelmqLEd70TEpRIG5vsD83Bw+cddhvPkvboUydm3ZUsioidjpDAoEffc76ZzyfQFgrZuMQkj3PQ0MuX+j66RpB4IowFOLlXU0ArpObd3BKEzoicaT//GjMBn77Hw9aiigjrVmDTNCQiTv6Ww8l4rFRWmTDoYIZtj6C1lE4LqX0u8vyz4KY1oJAdcIYt1KoRDCao7QvjnfFjW02cNdFGO3Rt/AGJTuIHdV/xXKnqjf+PjdePiUfU7KMDn8vx+4DS/8pevxjhvutdunXLRzHfR4dkSjPw+MlrN1BJPGNAVl5PlPu0qaDsGxUy+IXEMsA+TfO6FTpd9G2Akm/Y50/yx/3EYEg5ICQRHZR4EuROBuNCFRmoAIfvPv7sUHbj2AZ56/EDZ33WVzLSgmob9SljCmwfzcPH7y5VfiL77wCIZNjVKWKCCzy1xuZPjM0mkmqkugFwIYLXVTQ53IIK8RaDWcKB6rDDWUO06FKFCK0h4H0neA6SqFm2EQbjdSWewsq2vNmnVbJe9Z6C1guZ6ECNh9WM7451eaKaghhwjovBfFAGUmEHCNIO1OXMAFAmIgvkoKyr66hptghu4G63UEgsdODfELf/MlAEDfnYQP/eTX4YM/+Q2ALNErww35xz/6fHzn887Hx+84CAAQiCtYlQsEni/k/Yb6Cx4RpPbRSWM9aqhnjLV6oj2pc2qoSyPgI5ogZAc11KkvAFwj0Jnuo/4iN27iS6ghutH6Rd9NJhlEUCRrOLNJRxE1JAocWl7Ff/vwnXj1s87FlXtZ3x6ghQhy1JVHMWQtlpW/YX/iGy/Hdzz3PDRK4eFjo81FBC6AdtGPCgDGS61A1VqhLEUIVAiYuoSacbuOIEUgAIzg9tE2Ii5EESg5VYcAXsTnLzuoihyYHhE0Y3/eLSIoWq0s5qv5ya4hbq8u+77wbWpqqJwJgbDs23qSCYiAzwdGWwt3IQpnTrGFd1uIYLOHX0TenqiBNiioOMxd3H9/12F88/+4ATc/dBwA0Hc307YZdxGXM9DG+Oh8xVlz+C/f8Qz81+/aBwCoG+CBoytePNSuurTKCM3oLQCjpYnUUG6sV1BWGeNpnFZ7YV4dnAjJ6ecAqWtofbE4dQ1FlcWcGkqy1Ir+TqyFUYvuVCOgIFH2Y/soUUgAlBQojAGMxM0PHcfFu+bwy9/5jJZ9FEUcwFuee7SDQyUr658vBxBC4Je+/RkQQuP6Ow5vCiKojT0OPWqN0lHAqIGJiCBXs8EftxCBzlBDmUCwHiKgjrqNaeBrQIDpWkaoJpznaSuLVaAEbSAoW8GjExEoVvlMgy2p2QoEMhcIViONoCwtIlCZhM2LxZofN40CEoUo7DFzhXdbiGCzh4PYQ3eD9Y1ByQLB7//Dffih3/8c9sz38SvfbSf2KqUIyj4UQok4Pb9nwV6AM1UfJ9aGeN3vfhZLwxrKla73yFPMNQJHDY1VXizuGrRtV1uMnjFoHI2TTtKPp45Ai/XF4nh77lgBDO+3nmSvFdxEJ8s4EDgdpJIVoFWsEXRRQ0QhwVFDMDi0NMZI1fj17302Zntl0k8JQNGLBU/V3WuI3lvK0tom3THtlxIQBloJjJs23bjR4RGBa98d0zMM6TlqKF2cPqLsMmKy5q/xc67GreshSgg8IrBTSAUJlTlOhSjspKYbm4TReZuG6mG1IFNXFqsEETCOn8Z8z7aUTltDezGbJTioQrvslWbFtzMBOmp5iBqiSuCyjxKTEUGafMgWIggtJkq5KaVfrfEkDARjAAJjusFYILj+jgP4z3/9FXzT0/biL//11+HsbfZEUx2Bz8bKAbQxPitPKY7F/gDnbR/g5odO4Ad/73NYXXPUEBUc8cmhNw+MlzDWcRvq9UYXNeS5a2O8x7vl/sisywt08/zRhFAwcTDzven24Jy2iKkh2o73dLKIIPaYx4igjjWCidSQg95CwCiNk6sal+yewbMu2G73RwdxXAE2EPDgoNp0TJphl7K0lEgVFxq+/Olno1ECw2aTNAI3mXXVeijABoIJCIBn9T4gsM+K7aMbE4tLIWKERRy5LFDKklFDFAimpYZII5iyjoAFDxsIqlbwmK8sJRh1q/XvTe5BhghS+yhNynEgWPVVxQBQlDMojIkqhgFEfYhaGoGQgU5zC/jQ3LOFCDZraMsdkwBpA4G9gD+9/zC+//kX4rde9zzM9ApGs7i30oVeDaBg/IWQZlmlLDHXl/jNf/5c3PboSXz0y/cDAHq5QNBfgDF6wxpBIQtIITtXPiqBQA21AkFeLLbVv7GbhP8+INEIODXUQStpBEESAHQGEdB3VRBOI+iB2wqjRXt0E2sEZB8tk8piln0qCOhGY1CVOG8H00fAsjIhWouzUKfUXCCINQLdKjS86pwd6JcVxlrh7sdOf00CulYql5V2rZFtAGC80ioYS91fkVtINf7MRNcBHCKYUEegfCCw10AlClsMmKBn654iaogHgikQgW4yiGAKash99rAZukAQI4LOxnPU0JAPl5EbY7Bar/qGc0BHMlYP7fzgNYKBRQQTqKG02l0KGToVuAV8tjSCzR6OdxypkXU0APjc3dZP/swL5vFL374PhXRZYqbFBACLCGBCiXiyalVVVFBG4RVXnY1f/a5n4ehJ29ekygaCeTSwN+5GqCHAXohdrqHSGN8HppXZdSGCzIQHxEGhYRdiI/OBK0YWgPaCpci2oeaIQBnlqKEYEfhjo0gjYI+RQQRa+aKzpVqhMAYX7VyASQRQCuYGsIiAT3ZuHyYJyNY1FOpLeCa8Y3YGRhj89J/dgkbFE+20gzLBcryKEnHWHdFYAsB4pUW3tazD/Hk18g0IWxpAWkeQ1Bl4ROCusRLSHll3zLhrqJCMGtqIa0iNGZU0LSII3zFSI7tSnBoDmQ6krVoCblel4QLBSFmeniOCrHOvsWIxXQelLFGYvCMxW0fgEEEpSqaXjbc0gk0fugZkiZEaeSrm03cdBCBwzRU7ozYOdCMQNeQjd9mPEEGL65Yhs3ztc87Ds861F9etj7QzTPQWUFPfow2IxYDVCbpcQ6WBL1GfSA3pmGoQ3uHTYQHl4iAvLkuQhX+efZaWBTSre0jRR0wNxRqBR0skFpONVceVxX6ycg6Vux9bwnKt0ZfA9pl+K/sKqA6tQEAts3P9ifxEJwvLjSftPApR2EpyYXDrwydx7afuzxzN9YefUMarkBCxWBxpHAKoVyNEYEy7PxB3CaEZdVNDGbE41z+Lql8rWVh6qomvcUJytH6BrwifihpigWPaymJGDQ3VEH2fQIQAQtRQCxHwOgcaZR9ohmEtgrKNCKJJ3lW0R2K5EG1qyCif3PjjqjU0DAQkpHRGg7IPsKC8FQg2azh4OlIjSNcx8LKdPVSyhIpY7zAB9BK4a1eyQhCLk9a/layim+aKXXa7G+4+Hm0HAOjPY3yagaAqqlYgoBu9hPGBIJ0MNMvkU1E4Sw3xLJnXETCaqGt7MLHYiAK6aVNDPngJaSe6DDXkEYEL5BAiKjwblANoo8NN6VxD/+Vv74AWQF+06zuUUSEQCGSoIfvZOe1EG+2FUG2U9Zuz317KEkVRoYHBN1y5C7/+0bvx2KmNt6Sm81uOV1AIEaOA1DU0Xmmdz1YSwKmhpBNslPEnYnG6HgF13yWxuBSFpYkSXaWUZRCLN1pHwO2msnCtR6YXi+3yr0QphWPvEUHqHOKVzzQqW0eQNpwDMs49Y0AV7Z6ilSUk4kDAmQP+GGoMDViNgMTiogc0ARFsicWbNRx3fHxtFctrAjVKfMtVu63FLRO1gaARcGpICXYidSzMlemyf+4iXOhbZLDEqpLRX/CBIF2qcr1RyrJbIzCAkR2IgPcL4h7mjnYT0eTCK0l5IOhoMaEhPDVkpPSUAv++4BpyE11CDdWaNeTjvDGrNyB05+kh3eDRpRofu+MQer0CJUxrYRptgvPLwBWU8dfdpBO7ZQL6E1QByhABXUM2E67QCOA/f/OlGCuNX/zA7djoCJqPaQcyjlSktIEgdQmlgYHrWc3Qb52KwVpNriPwx4FcQ8IhAnfe4uOQE4un0QjqOEOfZgF79h0c9fP3dSOCcR4R1GuttQiAjEbgGvHxViWFsFqeThIQIDj//LyjLEKTsgjn2hkn6HhvIYLNGqqBkSU+ee8BwJQoyh4GoskGgi5qSLuLKxWLuxCBdpPT9119CQDgXZ+9L3xJbx61Y6M2GggqWXUuXl8Z46tQU663i9LpWqEsmnw6qKEuG6oBy6KFjBfnTik1IfPUENVYaG1vNApADBH0WBYI2Gz+Mw+cwrnbBqiqAoXL4LuoIeU+L+4gW/v9TNEfIQLpVp1Le1AVokBZ9NAIgQvnDX7spZfhulsexafuPYKNDE8NubqVrkCmi35EDdG+ttAg1wiaUSz4R72G6omuIZ2IxaUs7Dcl1FAhinBv6Y1SQ0wjAKyQO00dAWkEzQj9TCHavFtAqI0Ihm1E4FxD6epkQIYaYpXJkWuKTBBucLTEH0PVUM466s910bcBYkss3uShxjg6BE4OV3Hu4iJkaYuX0vVsgY7uowCUcxak/cRzGgEAKNe06pLd2wAAn7r3MD52h2t41l/wE/ZGYV8uEHgICZNFBMaYqFFYeoFGHDJ73v8tuVjMawra9Il9PgwjZLScYRsRMGooCQS2hsC9108mod6AsivKzoxqcGCpwU+/4inQAih0O6OONAJZADKZaCmoGOObfXHLq3V32EWLchpBVfRdxe8y/tXXX4YLds7gLX9124aEYy8WG0e/JEHd73/Ri8Ri2teuWgADS2Nw11CkC6m6HVSiz4oRQSlKqxckYrEUrDgqsoNOSw2xQFBMsaqZ+45GN2hM49u68Pd1i8XjjkCwFgJBRiPwiIB1PuUTd2utEqKcU/uo02ykC55BLK6/OsRiIcSrhBB3CiHuEUK8OfP6DwkhDgshbnb//Qv22huEEHe7/96wGfszaTx2YhlH1zTO31lh19ycpxeyiECH7BpgE767ONOIziN97MCwFwhdOOdt7+M//MWXcXKtBnrzaFxSttFA4EU4vs/G9ioR5OIA2pkdd/50UUNdGgG7ZHhQ6Nye1eZoEVND/rhRcRYhAlkiajGhx6GGAIgRgXvO87WqRtMoSFNj+9wMXvuc86AAlEbnqSFyDeUcVozvzhkDCrfOgYZo1REUskBR9m3F8ngFg6rAz33L03H3oWW896aHMe3wiAAWETTJ8fMBqqiAerV9rjtcQ6QR6I5tc91HYzGZAgHRmqX9rBQR8DqCiNajQDClWAw44XSdlh0ueFCCNKAmcWyluH7RR0/2OsTiDkTQtDUCX0dA++TXM+iFAO56TmWpodQ+qkZQIljDrVjci5oJPmERgRCiAPA2AN8M4OkAvl8I8fTMpu8xxjzb/fe77r07AbwFwAsAPB/AW9w6xmdkPHpiDbc/chRl1cN5O0rLHzp7VpZvpxOW2EepmdskRBBlAE0cCH7wRRfg0NIQ//3DdwL9BdSPAxHkdA0JyzP6mz7h77sQAR9d1BB3DXHhuLMAjbehThCBP55aQRorknFelEatXEM+ei/XCJx91Fda6zGu++JDAIAXXL4XhRRoYCCNDo282G+kiTRrtWVisQ8YLCkQQkBC2AmQEIEOiKAs+vbcul5Tr7xqL66+aAf++0fuwvJoukKzQA3ZTDHl6b0FsewB49U2AkjPva/ydhqBCC6xeKJvOquS7WcniECWNui7Y+apEV9ZTJ09k4KySRl+CxHEPajy77GIgKrMqZo/DSDZNQlyiKCy9tE1V8fBA4EQAqUoM4igH10HXkdyg88TAEcEY2gIiFQs/ipBBM8HcI8xZr8xZgzg3QBeM+V7XwngI8aYY8aY4wA+AuBVm7BPrWGMwc/82S0ojML5uxZR67HlDx0fndIGAOfb7WOfDRYxNZS6X6qiSloVDKPtL9g5g3/+govwrs88gNuPKm/BK8XGEUHUwA4BEfBJo00N5TWClHbIPa+4vXYK19AkRMAnVekyXkUtJNiE7RGBSqghhhzo2A6bMX777+4CAFx2ts0pFOA1gvT3eo49aRcCBI2Asn/+ujLK3uTG+LUMAESLjJflwKI9FwiEEPi5f/Y0HFke4e1/fy+mGRwRpAjQ8KJGWQH1Soui63INaaNh6mH2NSDfYiLuiePuBZbEaAifFXO7oy26o3O3UbGYBQJZTd4ecMEjLFLUp4Xocx1IU2ooax+1HW9XHHpIW8JHzj0eCDgy7BCLW7SRE4sLUTKxuBeJxU/k9QjOA/AQe/ywey4d3ymEuFUI8T4hxAUbfC+EEG8SQtwkhLjp8OHDG95JIQR+9pVPwdP2zqDftxdKX/Z9xJ3kGvL20WRxkFyWCKClNyjnfSb6ojENfvoVV2LbTIW3/PVXUDsBaqMn2dvykn22iKDMBgJlVFTpG1FDXboA/1tMgQii1gfdiCC0OdCuOyinhhL7KLeUcsFRxdTQx+98FI8ctQV8wov5xoqtaUGWYevGZhCBt492UENS2HUONEQQizWjRMoZ+/vZhPOcC3fgW595Dt5+w34cPLm+nZRrBFK27a8UoEzZiyqLgYxrKKGGDLNUtmoOdNM2GURiMSEC+7iUVZ4aooIyyshbGsEGxGKeDEx6D6OGPCLItJloI4KMfdQ9XhmdBBCLxUDi3GNLXXq3lyhRSIkmcz/5QKAZIhD2PEspQ5W9GkXB40yMfyyx+K8BXGyMeSZs1v8HG/0AY8zbjTFXG2Ou3rNnz2ntxHMu3IHdMxKQto6gX/Z9ljFNIKCbkvrtdBaUJX504po5lbR9toefeeVT8Ln7jmFVxi6kaYfnXtnQRqMwBlIW2X767VYBbTdD+nw0+USIgLcg7kAQfN+kyFYya60dNeRExSIJBLR6W6oRsOBAfOt7broPT9vjeGEfeA0K2Iu9s44gEwioY6QxoYq8VUcAOGoobihYiAJFggho/NtXPhVKG/zah+/EeoO7hkqZIE3NqlOLChivtibvVlbPXE+aB4IUPayzQpk/d0JCQKAgaogKzfhx4AlLq9dQR4ZvjNMUuH207N6ehqOGyEY8oIk7Qw3lK4vTQGCvpZXREnqy13L2RdX9VOxWDiJkmKP0AEBKGaNUNYZyx9IjgrIPGO0TqCcyNfQIgAvY4/Pdc34YY44aYygk/y6A50373k0frkjFe4xdVpmdVDvEYlrAvUrohE77aEJf0Pd839dciKvOXcSRpoxen3b40n3+87RFBIKhktYNzTP2hA5LG8G13s8RAfs7DTb+eY4ahIy6j3Kx2K4gJkMdAftdtapjRECTCKs3oGP36MllvOklF4bXASgYGxwz+zlJLDZsUvNBX8eIQBjjXEPtQFBVM9BC+IWJaFy4axavf9HF+PMvPIx7Dk3uQ+S5dhjIhArk+2UcNZS6hlKqKKo8TqihtKlcl/XUPiZqyHhnkKWGxtFx8mKxSQPBOm2lPYJgyVGxjn1UK2svLnphDQsSi5NCtOwC9lmx2D5erU/lVwqUVTgnFFjLXvT77WTfDqJd1JCM7KMueXRB5omMCG4EcIUQ4hIhRA/A9wG4jm8ghDiHPXw1AKqs+RCAVwghdjiR+BXuuTM3SExqRrFYLErf+51Gl32UuPEy4Y27CspU4mwJjgqBf//NT8MJbZ/f6Enuqn0ojEHB9qHVZsDkA0GaMYb9zyMCTg11dTHla+waCOQWLyGNwIvFXdRQqhFwasgFgnO2l3j5lTuj7RQsIigSaohTK+SkstSas91Sq2VjWOFZbB8t4OivVCyWViMAgCbT+/5fff1lGFQF3vrRu1uv8eGbzhkR0X20L37/izIrFnc5f4wx0MxJ09IIEmooRZIkZNK6HFKWrqAs1F4AbD0Cj+am7D7ql41kiIBbiCe+pwpiMdk9MxpBu+ncON90DsDqeKVFCwEJIuDUkK+WLyFFYZedpK9haCFCBM3YuYZK1muIriu7/09YRGCMaQD8OOwEfjuA9xpjbhNC/IIQ4tVus58QQtwmhLgFwE8A+CH33mMA/h/YYHIjgF9wz5254VoPRIhAr1dQZh/TTe5dQyJuTpdFBMb4CSXXZOrFV+yG6NsLbEojiR+52gc7kRmIooxoDBrtJQdV9rVuEZlNNB2IgP8d1RpI6Xv88+3INSQJDssy4oLHuqOOgD33lUds5ec3XbUbMsk+G2NQGLQQAef+yQ0VCbBUNMXdRTx4CQlp3FFO7aOOGgKAxq1Hwceu+T5+5OsuwQduPYDbHj3Zep2Gn1Cq2RZqVVpBStepUpbWPpqI/J3UEHRrkaBUKJ+EJA0FAtjjUMjSIiN2zOg4lILtN03svmVEO8MfqRGu2//XOFgUCTW0jljMggd1oh30uqmhSCMwxmb0KSJwYvNKvZwNBJFGwMTiuA13HhFEXUYBhwhswE8RATVAfEK3mDDGfNAYc6Ux5jJjzC+6537eGHOd+/vfG2OuMsY8yxjzDcaYO9h732mMudz99/ubsT8TR5YaGof+32x4zj+ZUKmitiKhLi2M4rZSVUO511tNptzYsX0RAPDXNz+2oZ+Ss7xqoyGNgWRFbWnWP2lt4pyu0EUT8SrjztYHbP0CDeF71PDPMjAoHCKwYnGRRwQtjSAUlL3/i3aZ0OdcuNAKGNp9fi4QpPZRpVUrEETIIXUNgVxDSUGZLFBS5WluNSwAP3rNpVgclHjrR+7Kvg6wXkO9uWxlMdELuTqC1vKTyfnlYnFahWwyBWVtRGA1CykkhJAxNcQLymSB2tN661M9v3nzb+LnPvdL+Im9e6KWJmmhYWt4OokhAqJz0lXKqgWsNWtxbyqYfPdRACv1KubKDDW0nmvIaQRN5p6jqmuOCDSs0UNKR5NSrYH7bU9YRPBVN3SNxmXSaR3BemKxz/yJGnKHL+XiIxG5WfPOilaTKTd6szbTeP8XDuLQ0vSNyXIFZUorFEZHNMIkuoD/Zt50Li1cyv2t+Hq1GWshAL9uMuBcQ5mlFpVuIIy1zVlEEFMAte6oI3AFZXceXMLn9p9yz6lWIFBGW9dNKojCTaQmUEMRSiBqCCZbMyKFRGFMLBbr+CYH8ogAALbNVHjTNZfio7cfwhcfPJ7dptENBADZmwt0Adt/61ySnq40Op74475PcdM53cSIIG6v0a4j4I3PyNoYIQKgRQ0R/eGviZYLqJ3I/OU9fwkAuL3fw501Q0tJ65HW4IhAk310Ln7NDWozQRXD2YXrgUANNaudGkFwDYXvjzQCWVgkTfqSO0eE5qJeQ8IGgkgsBrzh5ImsEXx1DdVgVNifPSgHzjXUdE6qANBDTAFRG2e6pCcigmbkLZSpWEyjKe3z4wZ4xyf2T/1TcvZRrUaWZmHOpVZW2NVQLu1Xn9mmUy/oEpd5rYEQ0CqDCLTyiEDROgJGgRY5magR6Aa/e8N+DHivIZYZAkADbRGBSVxLOlhAqYtm1LaBCcO5KnJLDWlnH223mPCBoM4HAgD44a+7BLvmevjvHaig0Q1KCMAhglQslrCTifZBr/FZ4yRqyCCxj+YKyjpcQxX1ZHJtuyUkpKycayhYbgHElcXAulTPPSfuwbHhMfxfT/1BAMDn1h6Jt59UUJahhjoDQdp4zr+3wz7arK2vEXixOLiGgkbQRkuhIR0hgpFzDVXheaKGdAMBEbXJ38zx5AsEusbQ3Si9oucvxlJM6D4q4gk8IIIOjaBg29drPq9Ks0oajbv4Xv7Uc/FHn3kQR5bX6afiRs7ppNTYOUzygUAZNVEsXtc1FE3y4fLpCi4Np4aEgMkiAltb7X3yNNFrBaUVlFH2mLY0ghJNPcZf3vwIXvMs6xQaq3EGERhrTwVav10KCQF4B5Q2rMhsSo3AuoZijcCvqAZATQgEc/0S/8fXX4Yb7j6Cz+w/2npdaYXSAOjNx5MGXCBzWSXRlcboSNhOK7550sIRQYoUja5bx4rz/p4aMnYfbNYrAiLQ8XHwAWwdauhLh78EAHjF3hfg3LrBLasHwovrFZRlqKG+y/xzYjHAGs91IgIXCNRwfUTg7aP9BBE4/SSzVkOEllRtEUHBC8ocItDjM4YGgCdjIFA1xu6mHhSDiBrqWv+3SrNBHwjsiHq8I1QIW2po6Ktrc2IxADQucLzhRZdg2Cj87g33TfVTsgK3QwSCLbKSFntNEotzAnOahfq/WbEY/5xo8RSOCBLXkP8urayYSxMMW3SGFq7P1hHIEieX16C0wetfdBkAx6mzKlbSREoYCJho/w1ZH4GoQZ+UboJngaDMWIUtraStWyZZqrKUZUAEzJ2TG6974UXYu9jHr334zmjypWNZAkBvvhX4uUbAqS0etCa5hiKNINGOtFZxYGBIspCh/UFABHGLiUgsliUaMx0iuO/kfegXfZw32ImrxmPctcZ0s/UKyhgi8AVlbsJPF7RpLVdJxyJFBO7xqhpFDedoxIGAEEGsERSyjBABPzZRcFcjWwUfIQLqR9Scsapi4EkaCIbupm/VEaQTtG6sv72IJ3BCBFUHIohohGboy/Bzi1UDIRBctqOPb33mufjDT9+PYyvrFM4AYS1YNrRDBAULBC2LaIcQ7Pc5eb6rfQRvYdyJGkSCCHJtCpzTqWghgiZZuD5xA4kSK8M1vPKqs3HZnu0AkkBQhHNaGOvFT4MgIQK+mpt0BlLj948vacnaYgiJwtg1pdKlKmmtXgCom25EAACDqsCPv+wK3Hj/cdxwd9ymutGNtS/nxGLbmQZCiKggjgvbXYJvighaC89o1VlHUIrSUkwOEQhh6QyrEbj1CIylMnz3UQpgkUbQ5vz3n9yPixYvQqEbXFzXeGh0PFAv6xWUsUBABWX9agYQslMjaFFDmcpiAxsIsoiAi8U5+6gsQ5B0xzu1j6a9hqSsAuoqg1h8poRi4MkYCHTtF4IJ9tE6z7cbDQkByTN8wN90FduO/qUo77evp0cEZVPj/3zZ5VgdK7zzk+ujgmxBmRrbFhNF5W/kiY3IOqihrmDRVWXc5RpSjBpKxWJPQ1HAJYGbLUtJN1lPtjWCh06MIY3Cj7z4knj9WBWQg4fosPRQ6qqxzp8kELhqWdIIDEIbam4MKEQBobU9v0myEGsE6xsAvvfqC3De9hn82kfuis5XoxsUMEBvPmTi7Dj7giXfJpt1JM25hiiQpfZRJMVnRrWOFef9NdMIClG4OgIBbh+lgGSTLPdZURM5hvLcuO/kfbh026WAanBJXUNB46Hlh8L2kwIBZf2sxYS9x/ttaqjqooZSRNDDSAgomLx9NGo6F74/brpXRkFyEiLwLSa8fdQGAu3mqDM1nnyBQNUYusXpbdO5bteQNraBW0Eng7Jlx3OWBtHzPkvkVkOGCFoLUdAu0ec1I1y5dwHf8oyzce2n7sfJ1cmdFvPUUI0ioYZakwHnfpv8ZNDVeiKaiDAFIkjFYuaqCTSF8i0mvFhsf4zPBlONwBiDOw8PMZAaV1+0w2fgYz1mFFKo5ygNLN2TBDgB4Xj+ELx9DyEXtHiXz7ZrSFtklNSUlLIMwaNZPxD0Somf+MbLcctDJ/CxOw7552tdo9QWEaTJitcphPSV0YpNwO2OoQwhGMCoUf412AShS1viC6sHROB4cOYaooTIZr2ZQCCD/ZeO84GVA7hg4QJAjXHx2P7W+066pGjqgjLbfbQne1ZczQSQTkSQEYtX3LntQgRhYZqhRYYimBJCsZ3wwaazxYQTiyUvNPMFZc0WIti0YYxFBGCIwK1yZTsktouzClg7FxBOINEdFdsOYNmkYKt8NUMowEP4tBUyADSEMNyF8uPfcAWWRw3+6LMPTPw52fUISHhlyy5GHHfSPEx1VJdG23S2m1jfNRStcQwBwwOBDzoWEUhvHyWNICCCiq09AFni8w8cx5FVhfkK/nhXlAl6h0q4SSXavYaIT5cIwrefXIEIEXgBNl2YxuisVkJdNwGgmSIQAMB3PPd8XLRrFv+doQIrFmsfCKLj7+yvAsJbeY2JHU4taogXlHGxOK0TSKih1D6qYTw15FslcB5cB2RSyhK+1WG69CQLBEeHR6GMwt7ZvYCucW5jz93BlYNu+w0UlPFlKjPv84hgvI5YXPSw6q6NTrHYVxaP2cRtV7Uj2szqJ+2GfL65nHu/ZusRRC0mdHNGEcGZKVN7og53wIcpNeTaUKd8OwUCiwiCnY5geMn6ttD2LURQ2zqCgmVHLdeQu3ELdzE+/dxFXHPlHvz+P9yPN774Egyq/AWQdTqp2tIgRT/qK2M7QDZtjSChLXJicSdNxN7XuQ2vPhaBiip4UzwdNAIrFpe0c2jgbHiyBLTj2mWJP/z0A3hhWaEvw/d64c5TQ+FYF8b2G6J+O0LYdhMpIogCAaeBMtSQFBJSK5iMVlKK0gePZr1VtWj/C4mfeNkV+Ok/uwUfuu0gXrXvHDRqbK+z/jyK5kTL/irc0oa+VxILWunkntqDzYTKYpOKxQwtlg6Roex5wV0KCZM0nePUEAA0CMYLe1LiCfrQqkVCZ82eBYxq7NQaPVmyQOAChzEegUUjcQ31yz6+8ugpXKQL3PvAIbzz3V/EWq3QKINBr4BEhRv2P4Qr+o/hWaNT2AVkCsr6WHEMQragLBWLae1qE8RdLxY37WK7qDZEOY3AFeFprVnrki2xePOGO2Fjdw2tuzCNVlYjSPhf7xoiqoj5zVsagYd7HCbHWXxNgYVl5z92zaU4sjzC+7/Y3YOPEEFcCFTbOoKyH6gsrSK6IKaG4lbEOvlN6d/RhM/uxWkQAaeGeHsMbZxrKCMW+8pa1nbi2NDgb798AJectQ2CBcIeuUVy1BAAkegfnud3+0bP2UAQ9lUZ1tyNZeqFLFqIwCMQGeyjjZouEADAa59zHi7dM4e3fuRuaG3QqKHXCFpLHrrJVgjBAlm8rGYa0KNrJbGPptpRl7XYF0g51EmisOL20YQaAmBXa2u5hsI999iqdQidNXsWoCxu39vfGSMCVpjVGi6ofPqBJXzyngM4ckrhW/6/G3Bk1eC+g8dx0wPH8cDRVRw8NcTtj56Cbga48YED+JFrb8K/fc+NAID/+fcP4oNfOoC1MaHKPlbc75jrTWEfZT2n6HfLgmizDCLgtSGuDXW8ZnGoIziT1NCTCxG4i46mPo8IYFBmKBurEaCtETiomCKCwJe67ExroFmzjaTcSUxvZgBQooAwBkUdAsGLLtuFZ5y3De/4xH5879UXQMp2BuRvMNP4WgetG0dnhToC3j9HmRjyd1JDUyACjms6axNk6Tc0ELZHDVhWCUIENnMCAC1czbZWaEQozKFs86+/9BhqZfC083YBR8NE4m9K5i4K1JBtM0G/p0ARJv0EEVgBOTSoM4Y1d2MFWVJIFFr5ynF+rKgPPwDUGwgEhRT4Ny+/Ej/xp1/E33zpAJpmZBdG6s2hGLUX1vH9athKY5FrqMP5A1hjAc0AvDMpbSu0zr63FCVqTg2RYC0QCaIpIlBAWyxmnVkjRKBsM76zZ3YngQA20Bfx1LU0rPG52x7GNwL4j399Jw5fsIy5+Rn8wvc+C+d8YhsuOGcPXvM9L4ve823v34VLL9mGH3zti7D0hUeAW4GP33sSv3bbFzDXK/BNT9+L1zznPMjSfte6LSbYwjbKKIYIYkdV1H4jakMdksZohTI4RLAlFm/SUDlE4Dp/QmQLygpj+XZ6DDCNIG09Qd5yVqXKF6QGuqgh62XnN4UQAm+65lLsP7KCj9ye70HkM06+/KNubBtbGTj4yP6YZonMX83hf1ftQNRKIjlWfpsINTBqCMJ/PnfAWHeWCe4sCnq6Cf34Zekz/T+/5TG85Ird2D4/G4mHvaLnXENBVA7UECDp+0ibMA7xwXi9I0yuMTXkJ1yGEiQsNcTPZs41pIzCxNYIyfjWZ5yDp+xdwK9/9C7UzcgmHDmxGNpXFltEY90tHv2lrqGkwEzxc59SQwLRIkL8ddsfJ7iGAiJARA3RfeCPgxCxfVS2qaFCFNg52OmP19kzezxS8O9l71Ha4E8++yC+/lf/Dh/4otXU/vO3PwcvuXI7LtyxDd/+nPPR6w0gM9rCQm8BQ7WCqy/eiW+4fDsA4L3/6qX4k3/xArz62efi43cexg///o047qLluG63iY+Wi21GkY2YzkNRVDE1xIrNosTQzxWsGZ0vKNsSizdvaEIE9mbwriEApRBZjUDC+DqCgAhcINCU0cZOEmpjbO2ja36xCQCxOORGI6QNKknf+m/edzYu2DmD3+lY1jDtkW/3pfEXWEqBAGgtVtKogAi6ms51IoKOOoIoMMlEI3B/84CoyTXkEYF7TysQ2L8PnGrw+hdd3GpFUckqcQ1x+ygg3c+m54xbo8CuMta2j1IdQcSDI5xzW3imoDPUELVWAOBWKYvP7aQhpcBPftMV2H94BUeWV1CSfTQVi50gK4W0LeNcB1RODfEW2konVeWpaygqPHQ0I0tqfEGZCNQQXVvpegRcV6FrrwYSRFCBF4gdWj2E3TO77fvcOTx79iwcWj0UZcf0ntsPnMK3/c9P4j+8/0u4bM88/s3LLgYAvPgp56Km5U3997QDwXzFFqdxFGnZG+BrL9+N//Idz8SNP/dy/MYPPAdLbp+/73e+iP/r3V/E5x84HrWcDy0mRsH3zzSSQva6xeLIPjqGQoIUGC29hQg2axAioEBAriHYfu8pdCZqSBR968zwiICoIfcYSSAgB4p29lERboacRqCEsFbUZLIoC4kffcml+MKDJ3DT/cdaPyeLCIyCdE4SLhaTY6n1G1WCCEzIlvln8m388/zvTmcRv3iFFRTdvnuR3RfuUeYYKoujQOAmgN3b5vCyp54V6AG2JkFKDXkYbgwKRpX5Y+XaT7QQAYS3PHoeHLKN/rSK12VmN7kXiwWAenJ1cTpeedXZuOrcRRw6texbTKQdcr1zSdhOldoFAu4aot9Dv5u7wRp27lvXBQDjstD0urEaAaKCMiFE1HSOZ8QRImgFgrAPR4dHsXtmt/tx9vldg91QRuHk6KQ/36oZ4W0fvwev/o1P4tDSCG/7gefiPf/yhbhwkXpQJa6hst/qPgokrai9ayiIxb1S4lufeS70wH7O9z7vcnzs9kP4zt/6FF79G/+AP7vpIQhjTSbaaPCFbUhDAmxNjxJ5sZifU1MPYVKNoNxCBJs/PCKwF3REDbmbOb3RCgOg6EXZGGW5FROJ6V/uGgotJgJdlKOGaiEsf53JGr/7eRdgx2yF3/77/a3X/ETDWzowROAnLa08UkmbzqmEGlrXNcTRB9uXbtcQQw1C+OyZB0RjXFM4crt4+6gKC7PICodP2ePznV9zEQrJaAa2XGXUdI5TQwhicfheu2BNViwWwerqeXDmdIo0gkxAjArKhAAm9BvKDSEEfuqbrkSjx04sblcW0z4IR7lp1++Iu4Z4MVx7mdI6+qwYEQho1bgqa9mmhmCAoh9d80YgWue5LRajbR9l+3BieALb+9vdztnnd7nAcGx4zL/3Z99zE371Q3fiFU8/Gx/+yWvwz555jrUQp66hyD7apuaiBexzC+G4seyO3y982/Pwmf/wjfh/X7sPw1rhZ993K37vhgcBAA8eX46WulRG+fNQUA2KQx1diIBWMsxqBMywcCbGpgQCIcSrhBB3CiHuEUK8OfP6TwkhvuIWr79eCHERe00JIW52/12XvndTh8soR8b66ktZ+kBQulSVO4eU64qJoopuQl8gltAoLY3AaKAeQjsxDciLxY1RloWs24Fgplfg9S+6GB+9/THcezjua083eIwItG9jG9lHyV2SOEdo5SP6vbm/tc6jgy77aJdrSCMEDy4WK6NsG2qqvKbYkVBDX7zftl/49uddbF/37qIORMDqLKSzj9rfwzJ9Y9yaAhnXEBOLhfsfP9cSEkI1eY2AUUMNsOFAAAAve+pZGJQGpQFGxUwriaAAT88bt4hKOvF30YK6AxEUENDCNp6juphILPYaQeWFdO+UY4Jo2z4qQ40I0CooOzE6gW39be7H2ed3zNjV5o4Nj+HRJXtsb33gMH7p25+B3/iB52DnHJu4O+sI2pXFgFuucr3KYgArRYFZp8XM9Uu87oUX4cM/eQ3+5EdfgAt22nqEl/23j+KBQ8dxfCR8zYWnxig4OGNGl1hMld4RInAL+NC5PlPjcX+yEKIA8DYA3wzg6QC+Xwjx9GSzLwK42tjF698H4FfYa2vGmGe7/179ePdn4nATxgia8Yf23yKpDKW/pRPFvK8X8C6RMlmNyRgTaQRWLB5CycLTRTlEoIyynUw7eOQffNFF6Jey1YwuEiPpJ2qFQpb+5qX9I0GvVVCWTAbZvzvWJlB8UulEBLxDKXzOmYrFUeFeRiMYNwJ3PGLpsV0Lzr3hlzsMiKBWcSDwkxcAyYqpwvfa1csM6xuVBoKIgvHZm0MJ2gYCbisF4HlzgBDBxqghwKKC+YFAaQyuu/1Uq9bF21+FnXyIGoraUE9CBAkt6O2hwh4prVWgFBG7hqg4TBnlaxmAGBHwgjIAfmU/P5KK35Ojk9gx2OF2zj6/c/YsAMCn778fv3a9RcX/47v34QdecGG7JbNHBK6ymN/jOY2gN4+1Zs3VnnRUFgNYlRJzyVQphMDXXrYb33v1xQCAH3rxhahHa/jMQyt4xVs/gXsPn4KAS/5koLTo2ADJhM9eT681Os6rI41/8+4vYtR02Gcfx9iMEPN8APcYY/YbY8YA3g3gNXwDY8zHjTGUEn0GdpH6f/zhLpSR0XYtAsBnldQuotXd0QWCCBG4E1Sp+LEvKIvso0Nol6EDHYhAN3aRm45AsHu+j+947vn4iy88HLWo9hNNCxFU8aTFXC+TJoNuOqi94DwwpUbAbK9GiBBEWSGNDVRBI+BiMa0j/fd3HIFq2t1HaTsgU1BWhIXFJQDJRH1/XIxxTedSaigcP571toIDW7yGH4eYGsJpIQIAKKRBBeA3P3kAxrTXXOYOE+0QAW9DzREB0YKhzoW5hNh1UQgZicV03YRAUbj+Sr1Q3ewTqdCGmutiQOipFX5cEItrXWO5Xg6IwF1zFAh+84ZbsDBne/1ctXcmf7DUGIAAZJFoBPlA4FtRj5etWCwrQLanxGUhMQfReh4I/cP+9Tdcgkt3VLjqgj3oVxJfeuQ47j+yhje883P48gGHBBw11FVQRgjNF5QZjVseOo41U+LREyt44OgQn7znCO49NL3xYNqxGYHgPAAPsccPu+e6xhsB/C17PBBC3CSE+IwQ4rVdbxJCvMltd9Phw4dPb09VNyIg9i2yTWrlAkHVmgQAoGJWOSBkaHHTuTUo1zMeyK8h0OgGpRDAOKZ++PgXL7kEo0bjXZ8ObSd8C4MoY1ehjW0iYpPgna5E5X9vh0DctU2XRhAHCxltzzWCoEfY4yyJGqKbUQVEcN3Nj+HcxdIuIEOvJ9SQLwrkbag12UeNt4+Se8bAWLE4ax9NEBUT26Ptkmsgusm5a+g0EIH9vAaFMbh/yeCugyvRsSUESjSg1wgSq3CkGbCaiFTkputF2lWvYYzVCIgS85XFLlDQUpUcEWhGDbXso4n3n4vFJ0cnAaClEfztl1ZhjMDZOxr87Dfvi15rH6yxvZ+FwFiNGTXUy4vFbnEaGwjGWVoIAFakwJzJBwL6bbWuIdUYF561A3/94y/GCy7djp2zA9x3ZAUfvO0oAOD3b7gLP/4nX8CHbnsUAPClh5ewPFJYq2t8+ZGTWB3Za+STdx/F39xiayde87YbsNIIlAVw8a55fOrN34inn7uY//2PY/yjisVCiNcBuBrAr7KnLzLGXA3gBwD8uhDistx7jTFvN8ZcbYy5es+ePae3A0QN6cauRQAEsdhNji0HDlFDTNz0ELlDLI40gmYELdbRCDwi6M4aL9szj5c/7Sy86zMPYFgHHrq1zzCQRRsR+FYEqVjMPdldtQBdy1byz+nQF6alhuKCMoYI3E1//9ERnnXuPETaxhjwE4NvwucDQThnEuEcc3eUdKQQ/Sq/fCXagTRnyS1UTA9SJiyEiF1DG7CP8lE7kfCFl+7BzQ+dyrqGrGNHQ5exRkB6ULo+QaRd0O822p8ccgVF1FCqIQARIvDXPKeGUtdQKnYysTgXCJQo8R//6nZUmMdLnzaLuVmHBLpWKVO1T+ymEYt947l6CbwYLB0rwmCOJU98RM4912LCUnoS526fw9//7NfjX770CgDAedskvvjgCXz0djvJ/6s/vhmfvvc47j1yCt/6Pz+JI0s2Ebzh7qM4tmLPzq981z7sXFzAtpkSu+dn0CufuGsWPwLgAvb4fPdcNIQQLwfwcwBebYzx4dkY84j7dz+AvwPwnE3Yp/zw1JAKiCBZZKbVlAy6GxEkk0DqGrKBIEYEEffnRmMalLJYd7L40ZdcimMrY/z5Fx62+5y6hpoRNGxmTToFTfxcLJ5mkk91h9zznBrqfC+jhrhYHLmwXCDwrTwIhuvG/7bFQR+X7+4HFAC0XEMRNSRLgGX1EgKCnT//vNGxfVQzOySdV7BAwIMDBGSyNGNeJD19RNA498lPv+JKrI5NWAQeDIE6W6sXi9n1RxM1ELqResTKOHZuLS2EtDUfzrIohIg0hJLcX0XPC+lBLG4XlHVSQ9RN1BicGJ0AAE8N3fnoUYx0ga9/yh5cuP0snBofzxaURUONvYAdawTdYjFAiGDUjQiAzkDg25+TzpBpOnfuNqtpXXPZNvzDm1+Gn/+2pwIAfvMHnoerL9qFvYs9/M4PPg87XG76H//ZPrzpJZcDAL7t2edAlr3oeJ6JsRmffCOAK4QQlwghegC+D0Dk/hFCPAfA78AGgUPs+R1CiL77ezeArwPwlU3Yp/wgRGA4InBicSL2Aa5xlLbUUFwARYigPQm0EIFzDfGbIocICrF+IHj+JTvxzPO34fduuA9as7YRtM+jJVu8VvQYZ6ta1AbdvACgWKbUSe9klpe0z3eIyxE1lNcIqmQpTWlMsNkxRHBsxU6gr33WhSihEbUWYF1KgQQRJGs/lKLwdQRaMxrEWUjpNqeJk3hyuOZr3H5LnysRitQiROBbCzDb5GlTQzaDv/rinbho5zwMNJZHjd9Xqlvh1BCvLDbGRHUFcbsMuGNTehrJF9OhXUcQ+jbZQEF1GtE1r5lGkIjFDXcMARGio0Cwvb8d7//iw/jUXQdhZIXfft3zsHtmF44Oj7KCssnUEPn6vQ7YIRb7VcrqJRsIJiECPT0iAJKmc542c2Kwu2heeOkenLt9FrM9iVdedTYKb2sv42SSFe6dqfG4A4Gxi9D+OIAPAbgdwHuNMbcJIX5BCEEuoF8FMA/gzxKb6NMA3CSEuAXAxwH8sjHmzAUCso/qJq46RLCCRny71tZp4iZW7ssHgEI1kaWwZaXzdQQyooZaiEA3KEWRtY/yIYTAj77Etp24/o5DbWpotOTWPO3FWaBhrQhc5hdqHcLv5b89Pg4dOkIHIoj+jrLO4M7JU0POMy0CIvjc/VYP+p7nXRwyfRqTqKHEUSVl6XvnaOjQLtpoCBivXdCxEs45Y8jJARldA97plByXLCIQYt1z2zUao1G63/miyywl+vuftJXmWocApY2GqlxSk7iEeHUwn1Aad5wJ6dhKa0I+jhpyhXQURABCBPCIgDuklG5TQ/61FjUUMnyihr78YIOffu8tuGBbidmZAQZVgW39bVFBWXcgqIGSLVy/jlhM1NDyeNlSQ2nnUTdWjMac1tnXvE6nHCLINZ3zaGnymsVeLGYMgi0q60ExJHcmxqZUKBhjPgjgg8lzP8/+fnnH+z4F4BmbsQ9TDaYRLJaMP0SXWNy4grIYERDHLt3ycRwRRMKZca4hUU4Ui22xyPqIALBtJ87bPoN3fGI/fva1yYpn42W75ilDBHTz+8Ijd0NLIQEzgf/nf0c1BV2oIUZS/m8RxOGUGuLFawUYNeTiQFOP8fkHjwLbgUt2L0aZPgBGDblAQEt3qtCUzIvFokDBJmvPdxvXYoIKCrkTB/DebzqvEfozoZFduk4B7Q/weKkhjVLaTP+8bdY18/Yb7sXrv/bSlq3VuInMIwCa+CkTN/Fqa/5cuEI5bbQ13Qjbu8iYxicPfJGbwoRAoIxCT/RC9XKGGvIBsSUWu2RMB0Tw8+/fj2ectxsvPXc7xH329cXeIk6NTzFEMIka6vmF6yNDSDNqta8mamhpvOTE4g5EAIW5jo6nXiym5o2sAIy+PxXSU/uo1WdMCARInIdFD9qMntiI4KtquAM9Mg360gUCSWJxgPY0tHHLBDr7aKoRSD1u2UqnQQRZsVhWUwWCspD4kRdfgs/dfwz7D9uLzxfBjZahISCLcGMq3aaG+OQwjWtIdTSg66KG4sVQeNYZZOoIEcBRQ77FhN33Lz18DKtje858r6FIIyDXkNNsqNtohhqSsvD2UT6peY2ATejeMikEjLtmuF/fb2c0BNmO2TVAkwMFD1VUp20fbWA8IqBztjQa4x2f2O+1H39eXQacdh/1vYaYtRUIQZosjAYWEcBl/KarjgAO6eUKyswksTiZyNi6Ew+eOAYYib0Li3jnD30NKiifpC32F3FqdAomCfyt4QIBLVMZ078GaftqaisdxOK2RjBWY9QwmGM9kfgIy5G6e9cFY9IIgHDeVNJigrq2KqMA3UC5i4lTbcooR3exgH4GxpMsEBA1VNuGc8BEaigggsQ1RFlmU3uPNdB2DRljrEYgxMSCMhsIShsIOkQpPr73ay7AwqDE39zyWLzP42Xb16jsxx0omde7NTlMsSRlNwrI1xHEBWXwv9ugu45AAt4+SnTSZ+95DNtnWVapm1gjSKgC3wBMBwrJZ1+yhOSIQAfXkG06lxSUET3iaAa/upyvLtdeX+Dfw3vs0D41RTXRETZpNADKJLP8lmfsxTtu2I8mcfWYyl7TdIRSaigNBHSWKChHQRAWCXJtxFNDTkOIlqr0Wa+9FhvTtKihtkZgf9fhk0u47tb9gO7jXT/yQuya73vhF7CIYKzHvjXMRGqoqPzC9alFPEUSlawwU85MtI+uuAm+KxB4aogWeMpoBK2qa1Z06BPMZhSs1awTgdUIqkjkPxPjyRUIqNeQGrfFYh1n+wDcwjTodA1J1UYErWjerEFPiwhgpqIQ5vslfuAFF+LT9xzz+wnAicWAdE3yaJ9oRS6OCCgwdWf7PEB0PI8pgogIF7cNSnaUrOpXuS6gpBHQex4+uoR9582HY5pqBJ3UUAgYRFMVsvTnmNw0gEMEDKmEDNdSWVQExP36gOPn3Xv5b07dHT4QnAY1ZIxBI4DSZar0uf/mm6yjpGFWVW2YfZQJ2Bz98c6o9jjDfy5Zau114mg8qiNI3GYFEFFDObGYurPy72tSaoN6B7378xjrVeye24YLd7kF4nWwgi72rG/+FHVLXUcsJkTQDgT5WoLl2hWU5foMuRYUc03+O71riKihjEbgJ3WdWaGM7gM19vdGGxH0oZjIfybGkysQUPdRXWfsoxmx2BXzpE3n/A2hmjZv3LKPjqAEW6FMZhCBaXzWN63f/Ie/9hKI1D46WrLUUNmPnEskgBIvHxUVTbNIPZv84wVo1t+e/vIZdkYsNrD0TGofHUiNK86e9eilpRH4hUqCfVQbbb3syWLzUgREwCc1qS29Q9QQ6TzSWShJLPYTLmtTQbQS/x5ODdH7GlmcFjXkXToJ5bN3sYc3XXMptNF47NTYX4OqjB1w1EiukxpCoIa4tVQIV1DWWUdgg7VxHWTjQBA0ghY1VMQTWePw1KNHT+LZFw2wc2aR/fgQ9Bf7FAhc1r2ORkCBIBKL6TOTsdBbsBpBh1i86s7bXDPOonVPDXmNgDWdo9bzCSJINQJlFKDGEXpuuYZYRfiZGE+uQOAu0qEaTYUIGm3XLEbRi9YR8BG9GbV6+kR8qVZOLBZRdpCrLCbr5KTqYj7O3jbAN1x5NgBgaTjy77WuoX4Qi01GLAYLBF2tIaaY5KNFajqe12yy0QhZKM+ulavupWNwyhXMPeu8eRQFm1hbGoGbWBRrVQ2g0eOWa6goSkidCQSOGlIssw+IQARqiLlnaDtptL+B6HuapF2wRQTlaQWCxk1chZugeJb4L6+5FEIYfPLuo87uaYJYzPQOXlDGKQnA2VoRU0O+J5VbmCdQRWzNYgo0ZB8Fy2CZa6glmrOM1hiDP7rxAADg377iMvR7ta/0tR+UQwQuEOg8TUN0UlYsBjpbUQdqaAIi0CYbgDwiIMTnPoNfB76ymy3jKSCCAUHH1FAbEVTQ2EIEmzdyiIA0Ah04XhraBGoojwjGrefjBlz2wlMIN3EnNUT7s4EJgxpefeJut4LTaBkaduKIiooYZdUSi9kkn1ZV8+OQez5tgJbbhiMCTg1VsmLFWQYFpBeL/+5u22X0ay5cDPoJ0NYIEmrI35SOKwZCULKIIAT7gAjsOfZ1BIYKyhxPrgI1JGUSCLQOGoGOkwEapSytbfI0qKGmsddCVbZF4JmevZ4Onhzh0NLY/iZCDkyzymoE3jUUJh5CDxE15DQC32KCriP6fFn5QBP2TQGu+2YqlnKN4Nc/ejc+eZ+1jL78yh1YrpcxV7GlIJlGQEVmp9zx2DAimOA2WqgYIsiIxUvjJQDAopus0xEQAWkETiw2bftowxABf83SmePoXolqkYqepYa2xOJNGrpGDXuSQrEJ2UfbiED7XkP5pnOiGUfaAZ1gX8xF/ccTRJBSQ0orD/830orgqedsB2ADwbjRwHjJ0lBFsKsS9+szu6Q1cSc1xLL6Zgqk0IkgoqzThDoCEbuGeAD98O225vDs+TIOBF11BDpFBO06glKWKNjKZB7VUa8htu8esgN+KU8STSM9yGi/xgFf/jIKBKI8bWqoGZ6yn0GFYiyzp2O3d2EW9x5aRaM0dIJuaT0Cn5EySgIIQZp4ao8cXRA0hnWtNazOgM5bYc8hryzWENYBk7HRkhvsfZ9/GP/j+rvxwsstooVqsFKvZBBBEIsB4BTRLxPF4p5dpQ45jSDfZsJqBHlEcGpsz8Gi1pMRAekPbH1zuh6DQy8gAl5g6sViptlEiL3oRUuQnonx5AoEaoyRm6R9tkD2UR2gvd/cBGqoCxHkxGKfHTXTIwLK+qalhoBwQy+NRrjulkcDIuDBSCuf6RHHzTtQRi2pOzJ/0zXJd4rInBoK+2rcUpUCSAKoQcGyoEdPEQWg2oggqiOgABEHgjpDDdmCssBfe0TgeP7U+VXI0u4v6wjZcogRdci+p9FNlLmVskQtJveR6hrNyAWCKq4YVkb5Y/yqq87BuDE4eGoNxmsEzCbL0F+qEZAoH5kISBwWMqaGDBOT6bw5TSbKYAWs8MmSDf/9UuIf7jmCN//5rXjx5bvxQ9dc4Q7eGMvjZW/ntB+UoYYalyRNFIsZNSSnE4ttHcEwqxEQIliYGhE41xBzj7U0Aq0jR5HVCJhrSBTxKoelDQRbGsFmDdVg6C7+VtO5DDWkTNx9lFePAsE1FC19yPk9qiREyHa5W4ZGYxoUHhFMP2HQRbh3scLv3rAfZrwM5bKzyD7qbnBeIep54ql0gQ4toOu9mQXurSZgJwqJpJMnLDdN+7QwU1rk4JaqrCTL/NOFTQDw7qMA0GhGDVHQLqrYNcTFYoSAFRq5WY2A6D1OrdFnCB16q06mhk4TEYzsJJTTCAjJnbN9FhfunMPx1RHuPeGOQ/I7/blOXEPRuXEmAiGsFmKEhNFJUzuk1FDZCgQKAFRtHXcyRgRLjcGPvevzuGzPPH7zdc9F6eyuUOMMIhj7oL/QW4CAwMnxEiDkaYjF9D0dq5TVy+B9gvg45YLxgtbZQOKTD3qNUUM8+QNijaDVaaAJYnEOEVCCd6bGkysQ6BpDxzH7OgJyDSVCMABmH+1ABM3IBgi9DiIQMSJoErGr0Q1KykY2QA3RDfbCy7bjjoNLOHr0sF/zlNtHA+QP7YRD9WkY0/D/0wrKBWhicD3sZeELyohK8GIxLCI4vGRv4GuesguisA3J2hpBt2soBAKVRQTUMjpywDgdiPbTe+mldTlRME97NRkYFJQoIKAg7p+n390IeXoagUcENlNOnWCAPddP2buIsgD+0ImvVEFNbSPSBYxSsZhWi9PQXsQ07rdSYPDUkJDefWWKouWUM44a4gGIvv/uo2uY6RV45w9/DRYHlZ/o62aEoRomgSCcaykk5nvzobp4YvfRKmMfreiAtt6y0FvASI1Qs4Xn+Tg1PoVZ2bO1GU03NdRMoIZCzU6GGiKhvhlG6DnWCKqIVTgT48kVCFSNkbsoPCIQdu3b0rSpIW10cA0liEAAELpGwVzo6SId2iMCRFCwhQiiQLABash95tPOncdZC30cPHrUf0fLPirYkoaGLU7CspDOib2ry2hHV1L7fdTiIny+cY8lo6mAMPl+8EtW9H7plbvtRO66j3r7aKuOIC4oizpBUqCj4j9ZeddQlhpqobqyZR+la8BrRDq4hnySoOMKUKsRyNNDBI6WKKtZvw+0j9yL3itL7FmocO8Jl/ETIjPhmgSYa8hTNaX/3GiiFxJaOmrIUUWkqwgI37NJOdspJRn2OQBqHAXEUW2P7Zo2eOcPfQ3O2+7aSbt7ccXx8NT7x37QOAr623rbbCCQ+ZbS4T0dLSbo9WRQ8FmCyiOC8SksOo1mIiJoYkSQpYZYIpK+ptU4Eu9z9tEtRLBZQzcYuourz0960UOhOjQCk+8+WriTFjUi0ykicAUkjN/jFco0Gt14+L8hROBbGWi84WsvxnjtlP+OXCDIicX84ttoTUGnZdRoFCJBBEQ/QNgqYmbFVO7Zj9xmG8xtmy1cIFCodc0QgeroNZQigkANBadMBelQDl+NS2obtOixLyijnvxu0vEoBrznTjOx6Rztk6LF66eoGuejGdmkgAIB540JTZGIPdsr8OxL7GpeKythkfScRuAnJiZmxq4hCS0kjIndZn4hHG8fLT1dFK4nAKr219yoUfiJd98KALhgzwL2nbct/EA3QS9T9W6VaATsXFObia61BewP6nINTaaGAGBZyiwiWBovYaF0RW4TEYF7rQy9hnjWD+TFYi/k12tRUhbbR/u2q3C6NOcmjidXIFA1Ro4aGnBhqCjz1JBxGZ9sawT+JCOuOM5rBDE1lNMIyBmykcyRt4n45y+4ELMyFjYBOxnkxOLoxkXezeSPA0MEXSggRQR+/XnaV7fguRZhUuUagVIGq2NGvckiTw1xjSDTYgIAGq3b1FBRQqocIlDRvoSCMtsSQzGNgDftA+DEYvtLedO5VCxuIACTd51MGspNkJWbIHlhGJ/UifJ7/UuuBADc/vAxd1yTFcnIQUWfkyACTyEioYZE6DUkhYSgxMet4x1rBCIKBD/1nlvwD3fb/ZmfTSZajwhswOtyDdFrK/UK+KpmmQNmqaGWa4i6nHavUrYkZVYstohgrvP9LY3ABR1ODYX5oBsRKDWM0HPaYkIJQHaskrYZ48kVCHSNocwFgh4Kly1GWTG07zUkpfRZrzGGIYKQMZMbJ/RdCYiA86XppKmNRlX0gHLmtKihRjfYPtvD9sp+3+qo3Xq4JRbzXvnIu5nCPuapoXibvEZAYnQhrEagkROLgVED7Dt3u38/ZAmoOkEEXU3nQmWx/c5cr6EeCgbN/UTqWi3zc1iIAkIWUIBvOmedREX0XqGV1TIQJlml2y0marp/N7hKWeOuhaIXawQ8kHHKam7OJhP1yE5KrV5DHdQQdw2FgjIRqCGI6LM8xSaKICBz15C2YvGN953EB750AP/hW54OaYxvcueHO3bLrj4griOIA8FcNecCQQ+TC8osNSQQVojzYnFHQRkALEkRKCQ2lsZLWCTKipxB/Cd4Ib6OvotTQ8G+2wBaR0K6nyvqka+oj4pSuViMjSHKjYwnVyBgiCCihmSFkjXL8ptTm2FHDUUaAfXQYZMITQIewvsCkkANpRQM/V3KEujNbWiyoBuQ9nkg7IV60wMng06hp6OGcpSV38cOjYAP/rylEEgjYNSQsUy8dPvOK4u1Ab7reRf6fabVq9qIYEKvIUIErhrTfjYhgioSi6OsXsTnUAiBQla2utahDaJgokXcVagI54jCT0B0XAkfbVAwrt21ULpAkBYJ+v2i8+quscu222v7pgeOxhpBIhZTy4dSlN415JGP+8yIGqJ2EhQ0XWDklcUaNniu1mPc9dgKfuyll+FNL7kUBdAOBO7YrThbaIQImH2UXluul12CkEEEWjszQc+vV0z3QLpuBR8xNZTXCBZovzLUkBAClawYNRRaTKSuoUYIpNZa/5pay9cRaFdHIMQZnayfdIFg6C5+LxYDQFF21BEwRJBYBynjlci0mEAcCDgiSCkYaiFdyALozW7Yb+5bVmgFuIKbLzxwArX7GRGkZ83DfFbYIRbzEa1N3IkaUkQg/G+nzzewk5UAYrEYQCEkXnL53vAdTiNo20dzYnGMCGq2HUcEvMVEKCjTEFnBv3CVxYwacnpQEIsbSLY0of/tKTVE898GBePGbV+6iSiHCPxEjRAcrthl9+m9Nz0Yu4aSFhPUFprWIzBgy052UEMCIhxHdz1FExcE/vgf7sVYKTx17yL+3aueAqgapTHRanX2i+1Ev0T9fHoJImDnOkIEOY2AMnLnGurx7L4INtV0+FXKpMyKxRYRLLr3txEF4FCf//6+T7ZSaki7z8jqB80oomkjXaeoLCLYoMa0kbEpgUAI8SohxJ1CiHuEEG/OvN4XQrzHvf5ZIcTF7LV/756/Uwjxys3Yn86hawzdAe6XsVhcMo8vDasRtBev5/BfsvekMFnpDkSQ4dZLUQK9+Q1RQwBblcstSgMAwxq+M2kE6d0NHReUIbtffEyDCFquIbKvuueIVtFCRtTQzQ8ehxHAbK+HqmC8aJdGELWYsBNWSyw2QVT23vmihGSLpvgAoVUryAsISGkzeV5QRqiG00pFUq+Qo4b88dtgICCNwK9HwBAB1wikkB75AUDlfvNsr4DSGmOXFKRisU6SkyhhYJO8ECJGlqyAkl9bAGAE8P7P349CGlxzxV6blesapUG0RrL9Ynu+Vh3lMkuirP3xsUbgKoBNUeYDAU3yjhqKA8H6rqEcImi0rXimpnc5RADQPVgDogCKsoW8fJAUAmjGkW7j54qGuYZkrBEYhwjOnGdoEwKBEKIA8DYA3wzg6QC+Xwjx9GSzNwI4boy5HMBbAfxX996nw65xfBWAVwH4Tfd5Z2aoGiMKBCk1pHMagcm2oeaumAgRkGuIory7YDk8TxFBwyexDVJDgA0gyihbVezus4t2zuGjtx/2++rFYiZ28gwOgJ9McoMv19oVLEyCGjwiYFy2gYER0ruGAOC3/v4uAMBcv4opDLKPTqKGAEchhTbUgNMlijYiII2Au4aEaw5Gx4XQkvSVxYEaIkQQaKUGklpnsxYTnBoqRYmGjs0G0R5Vq6atCniLCeKTKcADlrICgNe98EJAGHz0K/ZaSAvKGo4IGDVEGoFvMQGGCITwC/xwtAlDCBB41dN3QUqDkon5BQxa07eboGn9gBkyTBjTcg3NVXNodINxl1hMwYFRQ36UkwOBhMCJTCDwVcXrIAJLDdURLQSE4xytCOcQgaeWvZ44DOicN/EzCprqKbLfvjljMz77+QDuMcbsN8aMAbwbwGuSbV4D4A/c3+8D8I3CHonXAHi3MWZkjLkPwD3u887M0A1GMqksBqwGkNhHbYGNQckWpkndQUCiEbRcQ9R/vNs+GgWCanbDgaCQBUME9re95Iq9OLoSGlx5+E5ZOeeNWTfQTtpng2YF+33ub6YRaKOhpfQtJgDgw7c/CgCoZBld/DYQ5CqLk0BQVGi3mIh7DQkIiLKXbTHBEYFhNJa1j4p4+UARjh/gAkHS3I5fG7RPjTk9RECtjVvuk5QaQtwmunT7fN4OOzEdW7HntVapayjud0O/y7uGkNeWUkSgjcCvfeRu+xwE3vjC82NkpBuHCJIfSIHAIWcfCCgZSzQCAFguSmQLyjwisK6hLCLIiMWFLLC9msexQrbEYlo+c/vMrs73A0QNNdFaBEAOEaBTI7CIAP65SA+igNKRqG3G2IxAcB6Ah9jjh91z2W3cYvcnAeya8r0AACHEm4QQNwkhbjp8+PDp7eniuRjO7gSQUkMVpK4j4dXDaOSbzkk6kYhdQ5FGwAtIqKBMyqwF0yKC+Q1PFoUo7D6Pln1OftU523D24qz/fO4aSvvPREtJdtA+Gx1WQ4kRAXXu1IQI3A0wcHO8EOk6rU4j4AVlrGLYD1q5DEwjMBp8PYJC2LoE7hryEymrIwjn3E2uQnjvN9lvqWWHfW8NyVoK+O9r2UdPMxDUcSCIeg2xQEAFXz64JTTny55itZfr73CVx14fCoGARPBAIQpPaaZisUia9/3tlw56i6gWttCSW5QJEbTSDPe71lyrFh/w/aQeawQAsCKL6aghOR01BAC7qgUcLYoWIjg+PA4A2Dmze+L7K1nZe7BIEEE62cNSQ1EiyREBO8886CuPCJ7gGsE/xjDGvN0Yc7Ux5uo9e/ac3od861sxeuo/QyGKcNEBoLJ1L7yCUQoGgGuzm6eGmHXQZZ+eg1VjoBy0TnxOLPbUkOsvM+0oZWn3eXTKZ1xlUeCVV50DALj5oRMtsTiihjKI4HQrGHntQii0cssbkjPFicWn1uyk/B3PPdd9p8wggoQaUnVcRwB45EDHAoipIS/eFhUkUXU8+9UNJJsIATtR0mRoaE0AF+CjSVi1NYJGNy3XkO/ntEFqiFa9os/jxzfVCDhl5QOBu5af5rrUHlmxnzccO7cWRwRMO4qooWRhGi4Wf+7+Ixg1CkeXG/yHb7FssAagWOtu+0VjlMYuuxkNV9VPKwZ6lw9l/OweDVx+sXFqSBaWv+8MBHM2EBT5QLBj1hbqdSGCSlYOEbhissSmGxfbjSJEwNcz9hSQTDoDUIB4govFjwC4gD0+3z2X3UbYZbW2ATg65Xs3daw1a3ENAeA96154RRLV0/VqTfBmS7DOla69gF/f1sHFFApmqSHhAsEGs0ZflzBejqyg11xhg+Uff/a+DYvFnNrYyOATeUAE4TPJ4igB3Hi/vcn++QvPc68nqzK5QNCuI2ABHACvNI3F4uCUkUICsoopDWo9YRoId1x8fQBfnEUFREDumhgRxFlgnhpyR3mjYnGqEWTso4U7btQrCAAK6nGVFJB97WUWDX/oNtvmW7PJiHcXtdSQcBqZjJCQFNIHx3/757cA0Pju512Al17pHF+Ar6j3CYVuUMK0AwEAFBWGehzfk7Q+cCIWA8CKlOsggoxrCLDZfsdEvqucyyKCYyOLcnbM7o2/Ixl23ggtKvzyqOlkL9BCBP4+1KPg4mL3gjIqaDlP8EBwI4ArhBCXCCF6sOLvdck21wF4g/v7uwB8zNjZ8zoA3+dcRZcAuALA5zZhnzrHSI3ibAHwk4kXXpGJ6q6KEqCbnaghk50ErPhaA+VMCxGQMAckAl5vDhhtzDVUiMKiitFyZAUdVPYmuufQEoZ106IQPE9MwYP9vtNFBHyiSlsv+J73QkAY4JaHbDuMnfMu25XxxU/BeTqxmNFrABoE15APwkUZLSvpeX7FNAIT9AwpJIwQ3vlF/voIETS17xrLkwG+VKV1DZ1eIKBGZpxWBGKxmFeMd1FD9P5dC3a/Znt2kjy4EtCO15L8xC9CiwmnQSitsTxSuPuREwCA1z77HEgJ7Jzrh3MvBJom3m+oGoUBlMhMZEWFoWmCPgBEVlAaRA0tS7EuNZQNBBNaU+wsBlYj6KKGZnfZ6y5TUAYQNaR8ZXIwKGSooRQR0DWvxjAyNNnj7UQCIngCawSO8/9xAB8CcDuA9xpjbhNC/IIQ4tVus98DsEsIcQ+AnwLwZvfe2wC8F8BXAPwvAP/amA7FcpPGiC9TSaPoAWochFfwTLadyXMeuDCxRkD6QCEKqxFUg/yJZ8EDcJNYf8HWAujpD4GnhsbLcfdCtx97t/WwNKoBxF0kc3UEm4kI6BM4l03UkFJWYAQCNSaT/ki8jqCUpS0YgskEgqJNDUGAF5R5RODe0m4xkVQMu8lVMWooFU0BiwhEwgs3JrNUJdWmbNg1ZCdUojH5AjORawhJICNEkNYNuMff9kyLwpZq+xmfv/8kDAyUZlSQQwRCCAxrjUdPrOL6Ox7D4aUxZgr7Pf/ypZcElxVDmLRIe0AEViNochmtrDDUdRwIaFLPUkNiXWqoZR8FbLbe4frZVQywJiVWk4n2+PA45qo5+1lFf6J9tDaqRQ35Fdo4DduM8oigqaGKsD2fJwgpyDOICMr1N1l/GGM+COCDyXM/z/4eAvjujvf+IoBf3Iz9mGYMm2EsFAOehihE38O6cKO1uf0YESQecskQgaqdRrAaEAErFCkRJolKVhYRANY5NFic6vcU0nH7o6XICkp863c+7zy88y6Fh4+vYTCQPhv2kzazsfHJxR+aDYjIfAJ0c0WLGmogoLTBcy/YgS+PAiLitluPCJoRCwRuMk01ApbpebFYCL9dQARV6KPPxWJVQ1YldNK2oaCCMh0Hgvi9DYoy9JaJvs+NUpShruG0EEG/5RpqTNOuI2i5hsoWRUGv99yEs3fHLO6ol/DAsTUU2+xKd/3+Kg4WFbY1DWa0xqfuOYaxUhDFGnb2F7F7bhZX9CWAk7G4ThOaCG65oBG4OoLcjyx6WNN1nJypNiKYdY33VkRXIIhdQ23U31GIBmCXsNseVatglQw4NjyGHf0d9kHZHUhSREDHPb3nNUJlcSoWKz1ymX8TOQ8j19ATGRF8tY1uRFCH7BocVoebMNIIWJTOTQKkEehkvVk/ASeVzIUo4kAw5SiFCyajpXDBsOz6hZfuRCGJimmLxVH30YRK4PsbHa4O6ohv67Nvlh1po7HaGEhjAqesw3GOjk0qFnsBMUcNJb2GBHw26cViWYX1hU3ca0gm3L+vuRDCO79osovF4nGoLGaUIj9+HmX2Zk8jEMT1EV0agQ8EpBHUw+jYEq3lA4PbP+EK+L7HrX191mIPQgisjTXG2pppd8718dSzF/HUs+dx9cXbsTAIFdr88zn9wZf3tE/ayuIm53opSgyNijUCH/TDufaIQBhkew0R/0/UkEw1gl63RiDstXK0ie+748Pj2DnY6d7frTFYRKC9OymlhkLNjt1Pfo0E+2hABKl91PeEOoOBYFMQwVfTGKphh0YwjhrChYu8XQimjEJBTg4w66Bb2MO+T0KbBqqM2wOk2VlcUOZ6mmygutiKkbaOQFO7YnYhARqDSuLkCYVHTzRAFVNDOoMIosxeFGgSmS8VvPm2/m/6dnZTaKMxbAx6PYFtrhMlTU4iufhb6xFkJgf7uECrshiiLRYXZURX8aIw4dxA3CAghVuzOEcNIaCJoop54XRhGk8NbbRGRCvfyGxSHQFROZHrqRkBmG/pCD4o06JBjhacKe1EeMmeGazWBjsHO3HosUehlw2ecd52GGPw2OpysCHrBpBx5ku/2QC+Y2uw/da211A2EPQwNA22lzlEECbzftFHKUqsOC9+a6xLDfU6xd6dbj+PjmPH3vHRcewloXjC+0tZYgjdqiNI3V5UR8DNGv6a12Mv3keB1SiGCJ7YYvFX1Rg1oww1VDlqqPCcdZjA2ojAGOMRQeFuwNSfX4gCSikoQgRpBsA4ZeD0A4G3vI6WoVmXSqKGDAxKCZyzbQZ3P7ZiFzlnBWU0xfPfx+2POUTQpSHkqCFOTzROLO5J4TWMIJanBWUFtLbtjCsmCEcrlNHj1DUkwnY2aBfONRRaRXtEoOqospZ+h9U0MtQQguNITFlHYGCgqpmNNZ0br/geRS0bIkM0ti9SLGKnYjEJvv497is4lQjAN9yzriH4ZUW57djWEbgGjZqCuIgWpvECu4wRgcpNZEUPQ6PzGgE710IIzPXmsGz0OtRQxj7qnu+ayHe7fPjI+GT0/KHVQ9gz66zqExBBJSuLCMrYNUTH1Ws7EEAzdBparBEoNc5qBNroUO+xAe1wo+NJFwiGapihhiovFrepoTwiIKQgXFFNmk3bLK2BTtabnYwINk4NhcriJaheQAS+qM1NGi+8dDcaZXBkeWhdQ9SUzX0Ob8Xsb2DA9wzig2cs6fN+vxD4eAB47JTtsdLvlSgAP3F4jSA9zkUVH5sujYC1mKDfnWoEFhEEaijKnrWy6xNnvPkagFZN/JxmFIwxnhrynVR1sjANubOqDVJD4xXfrdMjAuYa4kGLnGg+ECDsCwC//KS/pmlfCQ0ybYa21RCuU6wJARBWTC6SQBBNXBAeRXH7aAEE9xQfssSaUfE96c91HPTnq3msQAd7KR/ruYbK/oRAIFAagwOrh/xzYzXGseExhgi631/KEjUM+FoEQDv5a5xYrLVut6FWNYzMIwIvFj/BK4u/qsawGbbrCMg+yqkhmhQ6NAJ7kgUKdwP6ySHSCBgi6HINcRjpEcHGVikjsVhXM/47vP3M2LqBPfMzuHDnHE6ujaE0F4vhWz7kCso69QDWfdU/l9EI6Kb4wgMnIYRBr1dCMI0iuIaS4yzLwJHLSdRQGbmsKukWgpEpIij9nnJEIHTjq57b9lFElcU0IfpJGGghAv99bniU0pvZGDU0XrG/Axn3iWkvTMP3ISfU0/VoX6e1otH63AgNwVp9uVtKQkKoOBCkGkFeLDahnoKPooc16KSOgGie+FzPVXNYRhcisO8xsuymhjpcP4UaY6/SOLBywD93yAUFHwgmaAy+jUiHayg4qqxYzK+R0D+qhmJzRLbFxBk0VD7pAkG+jsCJxSIjFrOJvYUIyj6koX4rbUSgjYKuErGYZXVAByLYQHWx3+fRsqUf3HfQRE1oRQiBp52zDVIa1Er71wFYf71o2w3t78gjAppV+etRAEnqJE6suiDq+qqnFBkhAqo3AMFtOjaqQyxOulGWsrALwTCNgCqL/ULzJvbcd9tHAaNDduv99L7wDCgcpUGfGbVWAAsE5UapoWU0AijZRN8pFiM+liXiY8+dRUAQHamHVOCpw8I0tqDMIgLerFAK6dd1yAUCLQvfnym0mBjD+mG66giSQJCpLAYcIjDKvp7STO47G0fzbYQaQjPGucpEgeCxVbt+9jSIoJKV/W1FnhoSQlgKlxABcw3546ZqP+FLIaN5gqghuUUNbd7IuoacK6UQBWrjNAIdawQkdkarPhV97xriDgogcPfKZSZd1BB9n60j2DgiKKTTNcbLMSJw38czuUFVYsdsBW007jwYvkPAZvi+eyV3DWUyfupICcCvy8Bft9vQZGSPy3nbXe8j1/2/RQ2l9RqyiNtvdCKCQA0BQCkKS6mw1g9eI3Db8IlUqAbCBR+OCGzbhUAN8VYLfjtjIKuACHKuK6/FVDMbpobsOrVtB1eKCDz1QFRNggiI9/d6FAVp2kcZIwIBGwSMsNQn/W5lVEQN5fZBy8Iv0hJRQ8aA+k7xYYoSQ5gO+2ic1c9Vc1hy90vLCuq+k6bqlmuo6HXaP6FGOEcLPLr8qH/qsRUXCOY4IsgXlHlqqKOgDIA3H7QQgWCIgAWCKOiT1rBlH928sdasxcIUgMn20VDtB8BP+r5/jbtB/CTKJjRjFHTRYR81MSJ4PPZRX0dAiCDhGH0mB4mZvoAQwKfvPe4/gxaK8YcjooYygUCIVkaTvk8aA2GAoVsh56VXnG33h00uQLBISnacvUZgmC2UsqEJTefs8SjsBJdMbijygaDQNQphg2A6cdrnYvtoGxGEmz9NBgCGCKrBhqmhWtjfQ4NPDqmwDbBryW2f+vzb1FDoAwWEYjivj8BOENRigmzHwp0zLxazgKWdyA/EYnEB1/ojGbUooQUSsThPDc1Ws1ijz0g7kLr3jFz1clsj6K4jQDPGOZA4vHbYJx+ECM6iPkPFZLG4EfDUUNQ2hr5eltYV1IUIdJO1fyuj0Iiwmt6ZGk+qQKC0wlqz5otT/CgqAAYF48lTjSCF5VJIoOyjIETgJ4fYl68cNdQSh1gRGpC6hjaGCLxryE1KnGOkDpG+e6YxkMJAG+N7yAsH/2nEXH97oidB0T6Xf58wBoIdx+2zzloHAWnCcfLZI3dbuTqCvFico4ZCIKhk6cTidvdRX9sQ1QJYRADEQZkyODOpoAyAZNRQznVFtQ2qGmyMGqqtWMzbVUR0QSYbDxN/LBaTjuBfp2uPDiFb54DOLWkEkiECEouJGqo5bcYQgWqJxeQaame0aw65TUMNzZazWKWlZFOahhCBC3JZaqhjIoca4VxjUSEhgYeWHsL2/na/gtkksdknH0lNSXQfCWl7BiVtqCNEwIJDNN8QO9G1VvMmjCdVIKAFMKKVkAA/uZRC+skgZx8FwiRiq1V7EKQR6BgOFnTzuMwkPfGU7UaTXVHZiynxM08avqBsvOQDQWTnc2jF0x2Ox37xFWfBUNDCBETADxO7UH3A66CGjNYOacQieiPsROUf01KQqSgvKy8ubowakhE15GG4b+UrInGfWkzQtrQP/gZNXUOGrVtgAFm1A0FaUAYATdHfuGsIiAJBZ4uJBBFIY39nixqiQEeoN0GxpCVZasj+SuHapvAESCb2VI4QlSh8EV7QCGxlcU4sHhb2fXmxOA4Ec9UcVvU61JC7jPMtJro0ghEuFHb7+07eBwC4/9T9uGjxorDNpIIyCJt8pGIxD+JC2ow/bTFBwV3VnXUEofhxixralLHm2vpmqSHYSaSLGkoRgRDCIQI7AfiJhU4wBJQQbY2A99xHEgiADa9S5pfJMxq6aiOC9GaliexZ520PEzfL0Pm+AvHznN4KiCAfCIZj53lJAoFCSg2R5zwgLysWFwki6BKLq8nUELX9SKin4PwJNSFc/PQaRpJ52548IfOmQKCMylNDbvKuq749r9MWBY1XoIRAybJif8xME5kT6BwFu6gV8dPKXx88SCxOP1c37HcKW0dgjEeSxtigIDOuIU4NqZZYTL2G2tQGLR27XosJwN63q7q24asVCBw15L4j33SuOxBcIe33333CLrDzwMkH2oGgSywW0jq8EgdZaiNWskBX0zmtbeEYXXv8/vXnegsRbM5YdRlZnhqywqdfmIZuoiLWCChCEyKQOgjIQMiQpRPcqMd4l33UC3hEJ/TmT4Machka0VB8ImMtEiJ6QEpU1BcJBrUy0Wf6vzuon1AQ02E11WHdYv6ZCnYi8vvnrYaJWFxUfuKoxDoageKBwCGCTPdRAHZFOd5y2oQgVCc0UHT8iF7RTA8CUDh02UUN+YXjyz5gVPdklI7xMhrEgSDnGpIi9GjybhUgEod9W+0kEPBlROlzfaUyjNUIDKsjMBbleWqJucwiaogdR/tkNzVEgSDbfTSlhqpZaBiMcv2G1BiQFcbuvS1qaEJGDzXCtmIGe2f34u7jd+PU+BQOrR3CJdsuCdsU/W6xGMI61YoYEUT1OELaQNDEvYbCvFI7R12sw3EacIsa2qSx2rhAkFJDfrIO1FDaa6hLIyCxOD35hQsEqsy7hlKxOEYEG6ss9nRW0UYEkcWPVZfyBXQEgDsOnIo+kwa/QDaCCPqFgBTt9zZwdEOKCFjApBYTWWqoyAQCRg1VoEDgJmATuo/afQwLsQN2MpfpsQKH5nHWy9s925ZGDhHo9jUAcGrIZajT0kNj0gjaiKBVR5AgAgljEWnaa4iuNbIuk1js13FobMJAriEAwl3rRKfZIGP89kBMDWkps9RQgXDN87HmrpFpqCG6b1dFphW1GgNFD2NX1ZxvMdEtFqPs4codV+KOY3fgy0e+DAC4atdVYZty0C0WA7ZlOaMjgTghKERh3T8qpoaiCmLWxRUI6DUEgi2xeFOGp4aqhBqiNr/s5vEZ10REEOoIWq4hWM98SyNglAWQCQT9+Q2tSWCdTi54lQERpBmt71uvGaXgJnNpgNE4ZBvraQRcLOYXLtUKADYQ5GglJWzTOd9iwvfcDzZdrxGI8Bu7xeKYGqpEYRdJT+2jXiOIG8cJGI8IeFM2f/zot9MEyW5MaYDCoUseIHJicUMLqE/binq8gqaoWjwz/aasRkATs7FBKvzGeGEl3zQuqX2hFhPBNWTFYgG3joXTfeiaSNGSgIAS0iMCjyzdmsVNJqMduqA5TWUxIfnVXCtqVQNFhZG7njZqH0XRx/P2Pg/3nLgHH77/wxAQ2Ld7X9hmkkZA7VQIEeQKM2UxGRHAzhep9TjSH3MV1Zs0nlSBwFNDLUTANIK04lfGE3mECIoKhVskpOUagj25KhGbuxCBvwBORyOg1tll2NeWpdA9x4td+CR+5Vlz/m/FVquXmclcMAjLL9yHjwdXjDSavZNNYgh0AxAQgeAagbYaQc1bLEyqLM5SQ+E4Ux2B3Y943eGCUUPcDukDFX2NlFEtiT02BoLZR9NCIn7MFFEVUyOCZdSyiAIBpwv8JM+FWo8IEDm2OK0FMLGYrUlMv4HQkF07wp5HjggKV23Mjxe/trUIriF/HFRtVyjLaQTuHK/XawjgiEBm7KMOEbj3Zl1DugFygmszAso+rjn/GgDAn9/953jOWc8JjiHABgJdI7dWCO1lnRSLtuoIhASaYaQReAOAAFRyT3rnYRLAz8R4UgWCbrGY+OPAE7daTCSrQxW+sljlXUOwkx6fnPnrKQV12hqBKHzRFhem0yyRnuOTXQhaBrtnw013y0Oh+RbveEjHgCMCwS6hHTPh5hPGZDWCBrFYHLLHxDVUVH4SLnkbiWwdAXMNQcRtqEkspha/QDSRSrQDQSGKoGEQ8kFcrU3vFdVM4HIzEwBN5DVRWlMHglUoWUaBgPYtajCXQQTSnZXUKOD1KIYICOnQ+8OKZ1YjIBqP6ggkwqTBqTTAURlSeoTKK4sLBCMGHxQIpqKGIkSQEYtZIMjWEbh9aQ0XCC7ffjm+4YJvgIDAG5/xxuT9/bBtMjwiYHQkkCACUdhAoJKlKmlegbDLuCZJRFrzcqbG42pDLYTYCeA9AC4GcD+A7zHGHE+2eTaA3wKwCJsk/6Ix5j3utWsBvBQAzTw/ZIy5+fHs06ThNYJULCZnELPceZhftBFBKFKyYnHeNeSifFKQltYR0GLn3r65UY1AhkXnDasjSLNEmvhzPWoE7OTsP1OU3lFiNH+eaQRu8njsVO1TosvPWsQXXN8uXz1sYj1CwTi0YN9f05rAaUGZLOOma77FBCerkHENCQwRawQcERRkH50QCLhrg+gpbsnlNk1Ug5AxZ6ih0GLCHaSNUENSRkEFCJNDto6AznU54wMebRM1FeRJiAjWYUK6dluH3rRtru7dcjC+qV2KgKSQ0ELaamzJxeLG6m+mTW0QhsyvRzABEeTE4qIM1FBOI6DtqkHmvX0IIfDWr38rVpoVLPYW421o/9QIQDx/VHQ8ZIz2UxuxlhKoR35tc4DNBwCUaFeSx4jgzAWCx4sI3gzgemPMFQCud4/TsQrg9caYqwC8CsCvCyG2s9d/1hjzbPffzY9zfyYOooa67aMBPgcRMxZ7KRsjsbhwnSB5Faf919gbiNBGcuJ5HUGU9fXmN7YegSg916vcZMOpm9Til/LGdl8RLYP3/Et2+7+PLIUMaGVk33titcHRlYQHZscIAMCoIeKPAUtH2JYWLhD6grJADfmmc1lqKGlDzYMEgBKu+yjTCKxYTIggXt9XGjMREfg1nXMCvGsrQMd1IjVEnHU9Jdobr6CRRRRU6LNTROAzetqvagABjhDCojpA4JoVAhUEwK/dYB8bGIgWNSSNbzPVsssS/aFNighqVEmwpDEksVgyKqcj6FMCt5ZFBJbn76aG3ONOROASPlm0gwAQAkkWEdh7p2b9rYAuRJBfqlIJ14crgwjCeXviUkOvAfAH7u8/APDadANjzF3GmLvd348COARgz+P83tMaRA21NQJXUGYYIqDqyMT+GWsEfQgXsb0IS5ZMtzSfSsTmllhsmjjrOw2NgAyNmtU80H4Q1SWSi4xPzoB1h/hdKML+LPbC38eW7WetjRV6rhDo/B1BW+AXvjDBPhpNNnCBR5MFsd1iwgcC+o0TF6axVeFEHVXCWflSjaAIGkEbEVTRsYqotQwiiCpH3ToKEYRn59OLxfTctNXF42U0Qvr300jpAsEERr9f5azVCHSghgQzQhQM9XJ0x+2mGgZaBNdQqCMwFgkhrxEYRj8Gsbj27rLUOTR02fQMD3iO70fS8HCutNfaipSbTw2lgSMdhAgyFtLKdCCCNLsXwovFrZYzGWooRQRnkhp6vIFgrzGGWvYdBLB30sZCiOcD6AG4lz39i0KIW4UQbxVCdJ4NIcSbhBA3CSFuOnz48Gnt7GqzCgGRaUNN9A/TCFwVciGDEwdIXENlD4VSUaWq1wJgqSGdUEO8OhToQATNENme65kRbJkiCjoeEZh2luu3ESFo8WXw+P5sH4S/L95txbMLds5hh2sZkbM32s80oM6k0SQKyzMTFdUkgcAjgqLyiGBiryHi3qllNURnG2pgOo2A0BMAL1hnnVhusvI3bCYT9HUExelQQ6KlEUiZeMsziEBUA5uIJPRRCxEwlxA9pm1JI5CutiCqI3CTN08y6F8lJHR6HFTdQlM0hk55HnA0qZs28kNw+6121RGUvfWpoZzzR42CBtA1vEbQDiTUDK5OEoWWAyiDCIKbrhsR+CSzy/66CWPdQCCE+KgQ4suZ/17DtzPWStFZNimEOAfAuwD8sDF+1vn3AJ4K4GsA7ATw77reb4x5uzHmamPM1Xv2nB6gWK1XMSgHMYUB+IuuNCGL8v1SysmIwIvFaUGZMbY3e0IJpcU/pBH4QY3npqQQ/ETTX4gy0paTJJNt0AQiYCKNIJ3Q/a45pBDRSpwaYv55izBE2J6EVmi7HgFNJkQNkZgrpXMNlR320UQjoImS1i32YnEIuLF9FK5YigWCol1QFgKX+xrI1mRWFCFJiCB8psiu9ohgA9SQkFmxOC0oSwOUrGYgWBM9HwjICUdN40y8ULpx7SQ8AoANBFGLCScYA+3M1052wovFkWuIJrxEMF6DQV9rSI4UVI1WvQiYRpC1j8Z1BFnXEH02H8Z4sXji8IEggwg0UUPxb0yvg2YCItAQ7W6zadBv/gnFYmPMy7teE0I8JoQ4xxhzwE30hzq2WwTwAQA/Z4z5DPtsQhMjIcTvA/iZDe39BscffuUP8y8QImBiKq27WnRoBDS5SN3EbQdECAQGobK4xQmyVhYRNUStqEfLwGDbur/Ji5H9+YmNyFIqiO+LFYtV63kgcQ2x30CfVSRFMzQiaihyMTlE4Kkhyq5dMBa0HkEZFmaZ1GKCMkcdEAHXCFotJtw5Vlr5/aM2ImnxHQC/ipeU4Tf7gMGMBBGEz7iGGgqSU1NDK6ixfV3XUO5cy2oGEqdaK5R5dEioVyvIQkbXRewaEhA6UEPWXgpPDWU1Al9QxtbN1jVKIQFW0U1jaBQGxsQTtK6ziGBQDiAgnH00QcyujsBTQ7k6AgCtWgLdAGwtgc7hqaGcRuBoXhmfh3RStwvTjKBMOGdcLNairS9FQf8JTA1dB+AN7u83APirdAMhRA/A+wH8oTHmfclr57h/Bay+8OXHuT+nN7xGYIKtk7zQSRvpyDVU9r23t06KaKTRdv3WBBHkqKGIB95gB1IPLXtzkxuRYRIiSKghvmaxy9y53RQIdIDsEIup3w3fFiCBMnxfOG5tjSBbR5BbsxjwVFqghhJEwG29rgDQB8IkEETHj+kcqfWXGwm00XFLcTqWhNhoQp+GGjLGaQQZaigjFmddQyZBBOxWp15Bxjm7WpQhIQABSKP8msWECGhrrinQvhjWxsQHREYN1clkNjTaBQKW4ZNGkAwpJGaKQR4RNCPQwvWVrKLfBKCb2qGJvWx/X/b9maK00iU1tTdEZBICUUILAdPEq7dxsTi3/gQ/1+UZLCh7XPZRAL8M4L1CiDcCeADA9wCAEOJqAD9mjPkX7rlrAOwSQvyQex/ZRP9YCLEHdt64GcCPPc79mTj+13f+L5wcnWy/4CuL7Um0VZQkFrc1Am//KorWSlz+piDXUFpQllBDta4TjYDWJJjOObQeIsitIgXA9x6y+xyLxTlqKNIUkr/5Z4b30SfHVJIm15CJEYFkhXu1ttnddHUEoXoVsE7WaIUy0ghc/yGquFUmgwgyLROInuKBM4iywa6bVvvS8OcHxl5n01BDagwY1eo+yr8re67JJVTNQgxNZIeNusuySTRLGVKTObAWE64fqWS0Xhr47KpuVEdQhc/19GfdooaGUJjRCSJQTZYaAoDZcqbDPhrE4hYtBLCEoSsQJLph6/2TqCGX1CUFZVFCJSQaEZgGrxlSwgLRiQj8eZ22T9VpjMcVCIwxRwF8Y+b5mwD8C/f3HwH4o473v+zxfP9Gx3nz5+G8+fPaL3hqyA5lVIsa4l1DrbNaAGWvlR157k8bLwBFzyfZW6dGMGUg8IGlN5tdrCTnhAHiyU6aQNXwz7SvBbupfy6ihors+2whUoYagssqGSICkGlD3WUfTTWClBpCqw21/91F5esI7CIrbv+Ktn20hQi6xGJ3LLUJC9NkqSHdANXsdNSQQ4M1TMs1RMcnWl85sQqLagZiGCOCOBCESZfrN/45qr4GILWyC9k7asjqSYi/j13jWgjolBpR45azicaaRwTrU0MAMFvNdBSUhcrillAMhIk8zejpce49fEwqKKOlO33H2ryNeAwB7d7fmg+EpYeyiMC3mHiCFpT9bzPI68+yey8WT9QI+kz0jFdlKoyGETL0c5F515Bf7YzGBqkh+jzVm5uoEeQyP64RcLEumtzdMUntpynHyZ/zj90EE1svrUZAnxv4dkcNyVBQpkgsnmQf9Zme/ZzKdFBDACArSBMQga+slvHKUnzi5IggDQRFGWjDSCMQMSUAuMmhNzvdeXVJQAPTRgTStuBIq4YB+N8kerN+CVWgPdlHgaCDGlJGwQhhqU/BxWLdrixm6NCKxQkyUjXKhFajsWZqGwg4ZeT4/tyYLWexNqHpXHbheqBbLPaI4PQ1gsqdC/rkXDvyQhbWTs6uJyDWCBREq2NphP7OICJ4vBrB/x6DCspoZSejQk911wwrUBs6CJBlr+2ppsnPaFdck9hKU9eQydhHgekDAVEgvdnWd0kho6wtN5HTaxwRxNRQmEz46mvZbSOaiOkIjKM2SKghushZvUaoI2CIoGvxeu8acnAcplVHEBBBCencNIa1wJhkH6UsL6KLKOObxjXEJ8BqdroWE+7cN0a3CsoKUUTrEaQagRQSqGYhmN6VJgE8EHB0x7f1egPVEbj+TJYaQut40b9KCN+xNWo6xwMiG0PdYGB0ohFMCATVnKsj6HANdVFDZYd91Pc1Wg8RTCgoc4Ve1M1Vu/OWBljK+oGYThOgOgITXztpO5GtQHCGB7OPAg4R+KwvbjGRIgKfHSVwsDDaZkcmzg6y1NDj0Ai8CFfOZL8rWo+Ai72MtxcQkWuI70+RoZti+2gMf8Pn8wZ8MTVhXUPh9wOIhFelqY6A7Y/XCDKVxYDPKCvjWgJTF1lWzg9ZebHYWoCJGupGBHRUcgK8YBpBVEewSdRQA50Vi0O7BxG3vnC9glDN+K64QNwbCkg0gsREEJaqDOvk8kI6uwRpSJhon/y+QQTLLX2uqluFlDSGusFAm7huZiI1NDeBGqow1l3UUEdBGXH+UyOCtkZAdlxCt2TLjb5eFK6NhH0cBWZI247GtBOruLK4o2neJoytQAB0UENO3S8ziID3GkqoIe8a0spG+SRL91QO2VS1ymsEU7ai9jdYb6aNCMACgeymhiRRAOw1/zerTkWGJumihiR73KIfjPGIoPGTZxsR1ELYBmpCdmsECTVEqI43D/T7WFQoXK2IFYvpIzOVxcS7e0FdtAJBwdp+8zYjOWpIGbVxasjobGVx1OYEiPZLwiICiQQRcGqIOWey1FCECFWkQRRmcmWxzuhi0LVvIdIqKDM1ZlquocmIoLP7aNm31FBqHQUmBAJCBFMGgkxWXpFGQI7DlO6FQ3KwojCQ6HDC0plaIIsIeJPD1u/epLEVCIAgFutAV/jFNdhiLwD8ClW+stjdFHwSAWxQySGCNDNqu4Y2SA2Rp9shgmhheVm0+s3Q4HUFAmKCRtCmhvjoooZgWMVpwlELMETgaZbMwjQQvhAJugHI/RPtAInFrsVEMklFgcAtYN+mhjJ1BF4sdvsr2oFAMGqoUyNoIYKNUEOqExHk+tXQUpOoZiAMPEWT0oI8ELRMBMm5kjp8j0UE3RqBrT8QEYqyb6x9QGuJxSqjEXRUFgO239BqlhoKdQR511BHICCxOG1E1/X+LCIINC8QqKHo7dIhAvc4RgTCIQIT30+uuNIneDDZQLQZYysQAP6iqxAE3MZVKBbJCmMRBcSpocRKJ7VyDopEI2AUE31edLMXpc0+prWPupu6qWZiYRT2po7ojoQaCq0BZNRnPcryM5XJXYgg/m4DalHdyjLBxeK2fTR0H4UrRIKbHDLeBtbPBmANwBgiiF1DpmUfpSCUW6uhEQJFoo34Y1p2aATcPeU6Sm6UGtIA1DqIIOdEE0IA5QASyUTN4mfLPsqDNEN+QEINaRWLxSzJ8PsmRJv+UBMQga4dNcTF4vFEsThLDbk6gk7XUJfrhyb2x1FQRoiAWIFGN1lEoFz/JnpMQ7rgmbqGUspRGmRbXGzG2AoEgL/oCh3a62pF8D9GBJ4Ccoigq++KNNZ214kIODWUTnAbaDxXuIymqfoRXUD7yBuPtagh5urpooYIJXFEEGkECcrwnwEg6jWE5DX6/d6T7wKu5OsRJIggFwharqHY4x4dE+caUka5dgruaTdx8HPrJ1cRax3RPrtumK0bNsMPb8g1NFqKayjY4FmiPwesr1QhijY1hJQairPanGvIP2aIoDGNo/XiYxxrBIH+KJl+0x0IxpmCsknUkHUNGT4ha2XXgz4t15D73vU0gqK0iDQrFo+j3xYlH25IIaFgfDfbNDHSwvZ3irScVCwGthDBGR3C2g0Lz1s3UO6iF5T1UTdPwyb8ou+poRwiUALdiICJpTwLALChNQlIqFLloBUIhBDxZJAEgsjVwxFBVEfAWlSw7bN1BKlYzCYIfoELY5hYTK6hNiJQwrYGBzABEVThdcSBgLzv/vcUZUAEWrUCQbrYO2DrCHg9BH020EYEufUIADshWkQwMx01NFqKayj4Z4lyokYQxGJeo5Gc+9Q1NEEjEDpoBEorCKP8anJ5jUBEllv7xsY3J+TUkNIKY11jxuikjmACNVTOohHC96iyHxQWslmfGupABOsFAtomV1DWxGJxlhpyYjE1bOHHuISAkmUL0fPiQQE3WW8FgjM8ip7vImhXm2rswUnaUMeIoB8KytKbQisH7xNEkFJDqWsIAHoL0yOC2l6Yqhq0MhFPSQBRIzogFQmln5j5PgKxWOwRQRIU/LYR1xwCAZ9Y7beB2UepUR5zDbGCspIuUd1RbZo0nfOdIHXd5uxl5VsvGBhP+RSJayhas1iE/Jie83pQUlmcKyQCXKtwrYBqbkpqaDlur8F/LtMjWk40E+yjEoAm50/q2mqG0W+K9ZtEPKbgAteUzmh/vPKuISaI8l5DSa9+AL5TaKugrKPpHMBWKeMTsgqC71iPW3QaANYi4jTrCGibHDXEKCH6t0UNSUsN5VxDErAruyX3Lz/XBZ2jM1RUthUIaMgqBAKjoHVt+eakoCya8IteKCjTLEDA3kAaaC1hSRRNp0YAbAwRuBuiKfttjYA1GmtPxmECkEJCMMgeN49TYXs2sa+LCAyjVFqCZAgwtI6t4GIxdR/FFBpB0oa6Yqiu1fKhqFAY411Dwn6x75eUbTonJWQC5/2iRW6BI68RZOyjAEMERA2xRn7ZMVpG01/w741+LmtnkdMIrGtoxlOW/vfw469q/5vSib+1boWOrZBSa3+u0spiS3/ArTnBPleNfaDndQS0PshApwVl+V5DAOtAqnggIETQw6gZtdvMA1ZLEjJTRzBliwnA6gi5XkNEDZluasjSPLodJAHXsr5o3b9EA0afl/n+zRhbgYBGUXo+vNGNs+IBoWtlnA3aOoJQUJa6hmQHIqD3cmqolcFsQCMoXROzphyEQjf2PTlvPD0Obg8ZuYZSasBuI7ITe/qZ/m/2OHUc2ZYWzjVFWTujWRrTAEWFWogpxOKkxQQTi1vHXpZRHUEB2HOYBnmWQdcMEXi/PvWLYdZi7hpqUUOitL+pmrFc9nrwfrSExtmIp0EEfr88NTQb3dhCpK4tA3QE6VRPkDqhG42GKPqREYEHJAOrq0QToWpQJsEDAIZuMm9pBBOoIVqTYEWzCdG3iagwVMM8NQTkJ3IKDOuJxUAnIijdc8QWqA631yREoNySs615gnqbsaB6JsZWIKBR9Pyi3o1poHVj+X/W+gBIJvyyN8E11GQ1AvqbJo2WfRSwrahHS9PttqMaVDXIIwJeWdxBAUghIVhBD98fmdmePs8fB/a7wucHK1wrCAF+lazGt+DIr1lcUgBRDVo1BECbGtKTEYF0nCstsoKiagcCGVcW0y/0tB61E6kS1xDpHTK+rYJGQGtNrKMTjJdQu0DQ6jXExOJUd/KFTE4j8O9JqSED5PpA0eOYGqqjIF4YbZEwSzJSRKAhUPBAoGtfJ8I1gqFDszMboIZolbLVtFsp4MXiQdGR3Re9x0kNDbIagVRjFGBONa2iewFgSI499q/BUkMtRCDaVuEtauhMD1l5sdjaR5WlfZLF6yONoOh7B0WrjkA30GyVqLTtAOcT0wwS/W3A8NRUu124SaUpehM1ghY9wJ08CTWU0jj0HEcE8d/t99Hn+u9OMlLfdM63mHCtwGXJWkwg1ggmuoacWKwzGgGvLHYCskcEsowKpoB44lQsEARqiBDBrP98vupZzkPuqSFg/VbUo2U0btsusZijv8je6amhMPj5sr8PgRpKHF2txwk1JFzVN6cduX1UC5v1RoFA1XlE4CbVln10YmWxo4YiRGDfa1wg6HdN6mUvYx/dADVU9vL2zWZs259PooakpYayriEDKDEBEXATyBYiOMOjqAIi0A00uUpSjcCErBFl3/ddiSgjYywiSFaJ8l8lwiLyWbG4vzA1IqhGdlJRrmYhze6mWqpSSMh1AkFcd5C0p8i8T6afk1pL2QLq/L0tRBC5hjKTQ9JiomRIq2XnLIJYrI22XTSLXhbtBbFY+G6bLY2gijWCSWKxryMA1kcEU1BDkUbAbK2BGgqQoMX7Iy72m1hZnASCwmi7DocI/Yg4NaQMbF99mlpcsViZNPYDmEaQ7TW0jkag24hgJO3v6KaGcohgaBOWDgQSjQ5EgGaICnJ9asjk6wgKGLfEp04qjgMi8DbqrUBwhkdRoaAs3TTQprF8c7KwjO8yCisWZ11DqkZhjG/UBST9exg1lA0Eg0VgvBQVeXXudk1VqE3bPorQc6clFjMKQAgZLVXJM1qaBCOnENiiNh0agQC8CNuaXAy8JuGpIZ5V8oIy8ECwvmuIi8Utzt5ZhGONoIp8+On+NoAP9hw5CGMg3MQuIf2avkBeLLYtJqbsIzVeRuOCTCXyi9dPriwexNRQhprjRoHJriEVU4JGezqtRQ1JrhGw8wb4dT0iakgxaqjVfXQd1xCvR3BZ/ch952RqKCMWT4MGALtdbiJWY5SMhs1RQ6UooaGzlcXSGKiMayh3rp+QBWVCiJ1CiI8IIe52/+7o2E4JIW52/13Hnr9ECPFZIcQ9Qoj3CLua2T/NKCrPL1tqqLHwOeHCo5XIyn6rxUQhC6BZsyX+Sb8X/1UJNZROHOgv2n+nQAWF60lEnHhKQXW1oeatBKQsILjLhLfCpe277KOIL1z/PhPXEbQyUuLyWVM7+peazimI0Cddq7xGkPYaUgERcDsobSuda8guu2gsNUTnNlNQ1oiAeIJYXNtf7doSeHdHZq1awInFugntQ9brIzVaQtOzgWAqRCACIrCBIBaL243lTIQIUuSWUkHSxIEBRT8KBP7cwQqitkI25rRp7e/HTQ05RLDGA4F779Bdw53UUNFrT+TTrFfM359FBCOUkPn+Vm7Y46XyvYbgCsoyiD49109URPBmANcbY64AcL17nBtrxphnu/9ezZ7/rwDeaoy5HMBxAG98nPtz+kMyRECTKnvZI4LUNZSuRyAk0IxQwBaPZDUCTg2ZnEZgrYPTBILSTSq+kVoy2ecaqdFjn+mJIkz4yDlM4skk6lzagQjsa0VrG/tZJhxrWqiGNSrTRgNCJoigng4RMHrPIwLaxulAnnclaiil/dixagCvA3lRVo/tXjn7KCG8xjStiZW+v9FNOK/rIYLRkkcEk1YoyyECAREhVaBtFJCJtXdiZTEQOcoKrdx1L1tUmC2aMlCsLYen7Bw1xOsIiBqaEUUIBMa4mpF1NAKT2E0BjNxXdiKCHMffjKZzDAGOGsrYN9UYFdPjlGk3nZPCosaca6g0lhpKA4g/11pBPsEDwWsA/IH7+w9g1x2eagh79b0MwPtO5/2bPorKrzRkb2oVLma0EYEUEhAC0k3iUYCo16IAkd5sRBUQRdGyjw4IEawvGJduUmllDpheLJai8FRC2o1SZLfn6x13UUMmyhRT/YDE6Yb1rqHPUEYBQqARkiGC6aihnEYQXEPWIuwDAYxtHOgn+FyvoUANcZtmYUxABCJUFrfQnfv+xrBAMAkRuPWKa5el5lxDHtEkwdhTQ0K0roP0nEb6UHRuUhrJRMWGkVjc0WKC6ggAeBG/LNt1BN4+KsowwbEq4dygSX6VN69z7x1iGo3gcSCCDvso6jWUTI/z60Lwt7rKYc3uIRrStayfjAhihLXZ4/EGgr3GmAPu74MA9nZsNxBC3CSE+IwQ4rXuuV0AThjjr4yHAWTWkbRDCPEm9xk3HT58+HHudmYUvbDAhGmgWZtiIEwmY1qwhvjvZJlDiwiGEWWUXhQEq+k9bbF449QQuWTSyX6qOgLJnD+IHSY5sdgyZlwjENG29nNYZXHa58ggFJSxnj+APc6krdTcPuomoPYByFNDjW78jckRgWQagXAFg5EP3/1OT7cgoKLQHsTVmGTWI2i1CwEvKHPU0HjCeW2GgG5Qu8/OIQJfbZrYRw0LviK5DrqE/LTGo5UImICIAIcOyn4ryaB/taOGvMjvF3iyk22WGpJFaDNOWkEHNVTIAjOQSSCw7xk540G2oAywmX9uPYLHEwi0smK4KKKmczlKD4Bf1zgW4DsQAVuNjno1namCsnWlciHERwGcnXnp5/gDY4wRQpjMdgBwkTHmESHEpQA+JoT4EoCTG9lRY8zbAbwdAP7/9r482LasrO/37eEMd3pjv0fTdNO0EBmMAmlJVCpRxBK0CJgQC5NYGKGMSUwlZaDQUEkZkxREUYJAaywwYokDAjIpARoBLZCG19DQDUh3091008O7r990p3PuOWfvL3+s6Vtrr3XOue8O3fbbX9Wtu8+ezjprr72+9ft90/XXXz8jNPMSJCuQTyZAblJMVG4SAhqeJfYlzMrm/snQXhlzD7UpCWYpgjlcSIvtdWCpbKwSzfckEYHnBeRsBLFJ2+yXydeksdGdy3Z1TADIRFOHAWVEniLoookqKq4UIjBPOkUXhLmG6oiNwIss1ooAtVrV5z4iaNAtcPn3JYWkqCGHCEw9gpQiGEwGKj4EmI4IjM2nnK4IYknnAGm49b1PQuXuxZB4aIEa1BDLYENNDRGJ4jXSvsOsYy98RVBoGi0aR0Clm6Dn8OtfoBybkNSQusbaCJKIoGxy/LqOwVwSyzWkP5dG2UONo8Vs0f9qQy0H7uiAem9qUnWhY4hALfAMNbQ/iGCmImDm56eOEdFpIrqSmR8koisBrCbucb/+fxcRfRLAswC8B8BhIio0KngCgPsv4TfsjeQdz0ZQsatgBTRtBHbwx8Ltx0ObemJUj6Iw0XDK5rMnO6CG8uFFAMcbq0TTRvmyhjYCm300czaC5sQgzhcrfGlstOdyZT1oiGEHb1MJubgFhg9LDdKqudY2Ai3VWEXmhiLKIQJwhcTrSTPlQ1YEAWVNRBDSLRXcitidVynEJ9xHY/1vpBFQNg3p6Wc+0VTKtHoE5rt8Ksfx9YBzFHDPyyiCuNdQkyoCWLoWa2SWsU8nme9UKhaOVjWKQFM6oY0gpxyFdOsU6SJSskA5NrkZR7A9SxEUXWAYrD8nwx16DQUrcp3rqxC1PyY8aXp76TE4yl3gpD3GrpphzGuoZlGp7lFqI/gAgJfr7ZcDeH94AhEdIaKu3j4O4PsAfJWZGcAnALx02vUHJnmJ0vi2c4U6ZSOofEQQ1rtViGDgUk9U44QHwTRqyHDJMxRBNXYpJupJdEUht8OVn1sVOuzToAoMUoCPCHxqSJ9b14GycJONhwiyTBkdtcSM8lVdqTTU5kDKk4RI2QlMriFPmetiNea6vERe1y4yV0TJmmvCVbakruxigCeqXwrfRhCrTGW+f1yPgSxT9NA0Y7GpTpbHFYGdHOraotSQDlT/ffQnqSB1jVMiDdtRaNyX9azrifIaiqAQIlJBlETumRpqqGxSQ4PJAL2iB8pFTWqbLiKtCBapxIBEyUZjLJ5JDcXiCEbzG4vzWECaMniXVE6lhhwi8JNYAspGYKoZxhDBpJ44hPcoVQSvB/BDRHQHgOfrzyCi64nobfqcpwE4RURfgpr4X8/MX9XHXgPg54noTiibwdt32Z5Ll9z3Gppw7YJiIGwEpmCNpYZ0LnuJFLTXkDk/VqRiT6ih7XU7UU54Es1eKL8zPObZCAQF5K/e3X4voAz+hAkoH3OnXHL/fG+y8dNexwzOChGQo4aqtCcJstJ5p8TcR81Ll5XI9MrdFGIPcw1ZRSBdaLWHl4vg1Qbu0vcaSiGCji6Yoj7MSB9iqCH9W3fiPiq3M3GdXPWbM42imBZoCCj+mhrUUBmtVW0QgWcsnri8TJkwqALKWNzLe74R10zU06ihrISXicsYi3U7pxuLI2mo56aGdECZTBpoEEFeOEQwxUYQRQS18iZKeQ0pJwTfFrbXMkc4XVqY+SyAH4zsPwXglXr7MwD+buL6uwA8Zzdt2DPJSlu5yfnkp72GLCzPSwCjpteQyIsfdSdkgQhC99HOoop2nIUIhheVURawNoKQGjLS4P6l509W+NRQxFjsBZGB4oiAaxFrkDvqCf4qM0MGEgFEUUTAFSoiW4N4WtUq5KUrVVlNAHQ8RCDjCAqGrwgK3300yrubWAcbeNaMOg/pGimdrGPHB7ozEIFWEmblGHoNFVnRyEgZVQTBOAipPIkI/PQTzXQU7CECZSzOxrHvzHSGTfFMBdUjky0CykbQK3pANnRGYpsELvGsASxmJc5Kc6R2Cd3WzzvtPhozFu8koEyksi5M6UqFCIqswLYoYp9GBIqys+OkrpFhBiIwBYf0InM/ZLeI4LEjeYm8clWz1EvdXPVMKpFiArAVzKTHCSbbtmPH9bgx0WeU2aA1IIIIiOZLM6EVhTEK7wQR+Ct8R4I1Aowi53v2BTnBC0SALCh8I9uV5TbFBCBWj6LNNdcq15A1FqfTDiDLBTXkXsYmIiiQgYUiqD1EYFx9G30XBL1Zl9cg9iHM/mqkiQjmoYbiisCsqlOIwE70QblMp+AAZKUXEDh1wQB46Ueonnh2FXMNoL1cbByBFkH1FFnhFCKUIugXfTXpN6ih9Cp9MetgU9JXISJIBpSVzTiCattN6rPElrsUBuOxMRZ3/DgCarIAADDW77rt42obGQM1IVmYxqaeiLm/7pG0isBIXqLUnayCs5rVvmSAln0JC0cN2Yc4GThFUI0bk0NIDUULacyTeE4bvsqIJwnQXCn63iAi11BWQEYWh+6DZp83+ZO7jz1XrhwlNdTwGsr9+gfimEQEY3JppVGlo019asjxtGb1KW0EGVwa6lAR2JVX0HcUKgLUDeXlcsI0QXaZlZZSRHd5BiLQxuLMJeGTEgsoi1FrHjUknzVIRR5L+01oO5L3Y/aflfbeCicsc23NddRGgKKLMit9G0E1ENTQ/MbixbyrFIEZb8ZGUM9ABNE01Ds0FgP+qnxiqKFyKjVkUKlCBGJ8TbZRQJn1w4VEwwkh7z5q4wgeO5KVyM0kwsprKKbVbRyBmTD0oPPiBcYDUZy9aSw2XiReWopQeitzUENr9noz8YVJq+R2KoJUeg0BaFADdh+57RgiMBlF3T3jk01GpEoeWpqi6aZrEQGEIkglBstLG7hElcoEOa7HXsI9dfMSOTcVQYxO81fFNSBiBCpuKgITR9BAd9ghIrA2AvVdUTQZ2Aii7Q9sBEYIAMqeoPAitayD8z1jcaWNxREDtVVSlLlcR2YFnpe+QoSghvKY++gUr6G8g82MHJ1kUkzoaOOpXkONyOJ0EZzo9YCvTKz7aHcuY/GIAgU/2Vbuo2giAskcKERQtohg3yXvIK9EigmwRw0B6sE03EcFNWQn4dGmRw3FvIY899HIKnJn1FBhqaGUjSCkhqwfIZSNQFKuoWFXne6nlYitRv3JPY9SSeYYhDdVDBFYRVDrhs2ihsxKsxqpKM+Y+2heuIjveoys9t1H5ff71BBUbIg+bwz2lRe57KMpY7FvI5jyXEcbAAg6mxHKvEkNNRBBhKZpGIvt8wKgDbf2WOAB5PUHgEwYeEOXWwCewq+1K2QDEeRd1Q+VTw1ZRSCenzp/GiLoYZBlqA1FU40AyrFdjVBkRXxhpX83JgPf2LsTRGAUjEQEuh5IkXc8RBCj9ABglDsjvWq7ciwxxmI57oqsAEPEp8SM3XskrSIwkhfWWKzgWAQRZHkzoEwPIskvqxQTTd5Z3meq1xCgPIdCn+dQNCIostJFtnrJrHzu2F/lCkQAsvEQ5rPdFm2b7T4qoj0z31jsrzrVxO146ia1Makn2kawA2qorgCuUSLzIotDRGDur6JkZyMCAoDxUFBD7LXZiyxOuI/aQjkzEcE60FnCSK9uO5k/IZqxk/QasigvrggyMFD2kwFlDUTAAFXS1Zen9pky8mc2jkZO7NaNVou1EWRipTunIgCALYOYq23MLEoDqJQgXPv0yk5TTAC+jcAggtzZCKZRQyPrbWho5JFOja4iw2P9aheT0payx9IqAiNZCdKG3aquUM1CBKYoiB4cITWU5RHbgRaTjXK6IpgDEWhFkeeF5RJlIIvn4pflDS7Z44nFJOtN7jGqiaT3iZiEpriPUkj/CG+qPLIin9QTMAGFqelUjad7DVVjl2ZCPyeDCGz/5qVXY9pQQxRBJP7kysru4+3z+3JaZHFHjIWZXkPDNaC3YqmkpPeJWGDEJo88eJ7O4wtKEUilHngN+bYk9hGBTtTn2X+EUjE2AksNWRtBRBFE3UdnK4IFHaW8aRSBpne2q+00LQQIjl+t4sGsjcVzKgIT0DiWxmIdR1DMSQ3pd9KyAJMhcii7E9BE8YBKa9Maiw9K8g6gk4YpmoVdfg8tGWXuBdUPUnoN2RdyvIlcGpEjmQhNoAiQUATz2AgG54HuilMsPEkigowy71gYHRyuIO223h/SJ9LrxIpnIyg8ZREai5Hy0NF9uK0hsE8NpRBBodCAfjYmE2Qs15CXA8qkmIgoO99gCg8RNPpIUH2xZ2loglE1AjrLahUpvKY8GV4AeocwqkfoZD4FI/tHjqs4NSQWBNJYzACKvk8NJbzJAE0NCaSXAZA1HMJnp6ihzPazcwftNKghE1CGvHD9MXHG5ZQs6lTUm9sX9DVDoOwpRDCN5gmNvfVEjdkdKwJRWMgai7uYsArqjI0DSw1lASKolIfh2NSymIYIitZYvP9iSiXqQuMVGFlIDVHetBHowZFCBKNqFDUWz/YaWlGrQ8lnhjI4D/QPW+NzmPTMG1SRlZ9nMExRQ/p3yKhlswI219p71s5GQJmzSTQNkjkgauF6q+sgp1PBtaV80tRQoRSFRQR5MvuoaYWtKaBTKts+y2KIANoTTPC3kQkwlXSuI8aCzTeUshMMLypFUI3sdd5PFZND1LBt+rwovX0+NdTznk2oSEJajDxXX3ieVv6iIbOpQXKJ5PQ1MWpIKYKdIYJFnarDUUMqX9BwMqVwPSAmco0IdlKmEhAV5gZun1EERQ/japy0+5nPoxDFTUbImTFKVDIERHaC1lh8AGKSQZk0vwFfB/jUkLMROEVgzx9t2myLseyjxu9/JjVUj6cHkAzOAf2jtgBNmAc9pGNS3iEE0oFxzesMZeTTC01OHwBI5+NX1+VR+kC1JQcqh6Bi8RoWEUhOdyY1ZOiU3KtZ7CECSQ0B3qQmf09TEWzPRASxPPSA4/nH9Xh2cZoZikAiAje5N20EubjWe3YaESRjPIIFQ67LrtrjzA1EIa+tWBVfsRlLRRxBmTuvIWb2qSHrATRHigndh5vb2oamDb7zU0Oa2pnMjlnwJIYITBxB0VMLyNBBQYtDBKpvXe4ggwiaisBeUwtqqA0o22fRE15BOSb1GBNwNDVEI/WuHly2XiygEYHLrXJp1NAh9X+awXhwHugf8RSLXIk0jMMJCoCIQMIo6Z0XURAZ+cnsjPuRdDMk8qkh/7sDY3Fk8DtqqBKrxGmIYCKoId8GYxV00bXcta0pUHSiq7CGjWA8CM7z22wQQcwDLI4IZiuCGFJs0AVBW+0zzbq67X4fkzEWy2cTUIhh0sEsRARFN64IhI3AGfn9OAJDDY3rMWqutbFY5hqaI8VER+Xi2hwZG4Hi+YfVcDo11EAEWiHMG1AWRQQDICtRaM+wFMp3xmLnamvankNFqwMBIsgCpR/LlbRH0ioCI7lTBFU1Qg2aaiOwFIIYeM5GsGUDzUZ1nBqq6gpjNlRGRBH0j6j/g/PpNmtFYO4XKp3wJU0FDmWU2fY2Aop0v4Tny/tYqSsXaCaoodAAmWtqyBk74wYyQHsNmRVp0n3UKAJTDSv3XkpnLO74OaD0Prlijk5w2n00pjAA4QXGkbKjcC6gChHMKE5jFEE9iq5u7YRSjZKTseoSk/7C9+7K2KeGGuOiEVnspwNRiqAXVeKmH5Sx2GhcrQiywosjsIXrLTW0gxQTVhFoes0ggsksRBB4/Zj/ZoKfJVYRBIig7FvPsNTiziJd89n2zxA5M8bhogUCEVQjNUe0xuIDEJsVMMOkGqsUyKFWJ1cD2K7GxCByNoKtuBE5uE/Dq0XKThSBsWtMiyMQ7pzmmL/y1y8JhdSQTzHI/+F3yJKG0ljc4KEzZRyMUht6n6lepRCBKVYyLaBsbOmFUsRVmN+ubta1cQQVu3oE8nvjaRvQQAThZAnEM80CjhqaaSOoa+Ug0DuEcTWeSQ3ZiN7I8zCINKTzVNbUwGsoWCB4SjvvIBN0RMYAyp7rpwgtNQGpzK6AzhHVBYi8eApbprKRYsLFHaRksavQ8pZBVTpfkDU+p0TTuFYBmJV9LL15TKLG4gFQdO07bMdtJBAQAEa6q00EvHI1TyACaSNovYYOSDKXHnZSjVTmy0RQiNzOxCByNoItZMatNJGGWlJD0QCYWYqgrh01JCKLi5T3T4Qa8laFAorHqKFUxtGMMheYJozFyPyAMo93znKgGtl9eSSTpUUEHjWUQgSlRw2ZnDZW0ZqXsug6bxbAIgL5m6MBZUADERQp746YjSB36HBqPerRhjKKa0QwjRoKkxk22q8RQR4iHVbUkGfIn0YNFV1kYvLJdPptqeQb/UBwacYrF7krqaGGIqhDRTAFEXQPAwA2xzoHqc4gOpgMbHH7qOhiP9b90yiCYqeKQFBD4yFQ9O17NxBJ6KTYcW2q3QlF4I3JyLiygYqtsfgAxFJDhKoeYQxKBoUAwlgcRQQDm3pCZrQ0IqkcIOE1tHBU/U8pgu01NWloG0HMfXEaNSQnZwJZiqtRjyBiI0hRTFSNxeRfeMZory15R0+sLubAiOljYyModSlAdXCWjUAjgqzw3EddZHHXy3RaaJ942Vc2x78MxuOmjUAmdZN0TSrXkDk+1fZj9s1hLA63G4ogQASeIuguT7HfBM+q6IFEWgYCkjYCy2kDNnW3Wq2r3xFDBCr7aJBiIu8AYoyF0u8eQsYsFIFCBFuTLaVYUmIRgZ7Izcp+XkSQl6qtofto2bPP2FRdSwaUgVUlP4FKMpHnK5be226naibvgbSKwIipEYsclaGGghcxNuijiGC86dsOIkbnmcZiiwjOxdtrFMTCUZRZactrTpsoGu6kYmLPkoigaTtIeg3VgddQkhpSL/48NoK8Hjsf8yQ1VAReQ2U8+2jR9evvIk0N+SkUELERNBVurPYEIALKqrGnCB4ePIwf/+CP4w2ff4PdB2Au99HGtvEWCmxX5gznwcVAZzFpIwiRY5Z3PESQA0DRj+Y5Ms97DJ6JCGyZyqKvvYYmOsBrSioR8z1lDwvM2JroCVkigml8vxnjISKYVxEAQGeh6T5a9OZHBFxbhKmun40I7HarCA5ASlOIXCcsI0KRN20E4XYmoKjV5uMB8jJiRDafsyDgKZpraAWgPI0IzH5JDYXuo2LinuYvbjMbwp/kAdh4iDCCNBZHQMKjIZOpjoNVZ56XOlV3ExFYG4F+UTqTyZzU0NijhjwbgVAEDURgKJSAEvKeNQCMBwG95Z5Zw987EGsjqHVAGWXA4AI+8I0P4GvnvoZ3fPUdODs46ymCcT1upJdQ39tEIrLdzkagFZw5btN9AOgspt1HA/SaFT3PRkDMQNH1Uk83+iGhCGQaajNhLhQLsMkEq7FNFzFVih4W6hqbZmU/2QbnXWyNZyCCMrQRGEQwp7HYnOsZiwdAMRsR2MUCauUAYe4xHniTcArRF1kBWxhnH2RXioCIjhLRx4joDv3/SOScHyCiW8TfkIheoo/9LhHdLY49czft2ZXoFVQOYFKNMCZCkaURgX3hOm4QKW+YSq0exYCMUkOzEAGRQgXzKALKrQ+zVCrmJY0a9gQ1pLyGDDUUtFe8lCkvFetKWo3dduA15Ocv0ojA2AgiiMBSQ8IIPDc1pCkI0x9WWeU+IsgFIpAZNOVnQHt4TIb+xBt5YUc66VkontdQlilUMLyAT9//aXvOzadvbiCCMOGcbJ/8XrntuH8x8cvjAFAuJp8NKLhv0QWJRGfGayimMK2NIKEIOnnHeg2ZCdN6DZlzxflJKbpYrBmbIh5guyjB4Ok2gjCO4FIQQdkPbAQDoLPgEEGlEQElqCGDCAQqkYsK7/1tUEOPUkUA4BcAfJyZnwLg4/qzJ8z8CWZ+JjM/E8DzAGwB+Kg45dXmODPfssv2XLroibtAhrEtuB0k/IoggtwUJId+EfQgyQU1FE4OZVZiVLmqZlFFAMytCIosnmIiNOilbAZSEQBB3WMxUcr72Qlfcun1GIbuzEUOnwbvrBEBzYEIymo0R0CZTlEQIIKGO2eACHKGRULR+AEz2SFTyl1GFou2SI+RmV5DANA7BB5cwO3nb8eLrnsRiqzAbWdv8xWBTjHR+Klz2ggsRST4Z0AHlHUWk7RdgxoqesiEjUApgm5DccrvnEhFMBlZSkZSQ4bWsdQQoAMoR7P9+oseFrnGZuUUwZZGFXMhgvEl2ggAhQhGAhGMNoHOkhsDKRuBWeCwjl+RiCBrLt4A316QZZlqZ1gqc49kt4rgxQDeobffAeAlM85/KYAPM/PWjPMOXvRgLQAMa70ancNGQKGNQD9gEtRQiAjKTK1ebNBUShEsHAW2ZtgItCII6yTI7dgqFxC8MuWuvcxJY3F4XXhPqiZWQZCI2G3kr9GRpOYuMZrFuOGVXLsXd1b2UYEIjE+3NzEXXW/AK0Tg15CNJ3DLm7mGsqYimOk1ZBXBYZwdnMWF7Qt4+rGn47pD1+EbF74hFMHhHdsIwonZUkHsn5sBTWoogRQBYyx2q1DlPupsBHLsyusKmVZa97ExFjOz7zWUSWpofkSwZWobTIYY6N83VRHYNNJhHMFOEYGkhjaBcmFuamhcV4GNYOglCCwi7wKgkULRVQ4iItJ7r2S3iuAkMz+otx8CcHLG+S8D8IfBvv9JRF8mojcSUdJ5mIh+hohOEdGpM2fO7KLJCTGFyAFsmwjVwCc5Okl0QkSgBkleLESvA5wXyeZ4Exllu0MEvcPIKY8qlRAJpBABEYEsNcT+ClHYDlL3sd9Xj2AgQS4yVIYBZRTy13LA6/Zv6X7sMKtVFzA3NVRkLsrTm5jzjot4hUYExqga+21WUWaN7KMyhUMKzhvxso8CQP8w7hwpBf9th78N1yxfg3vX7nWKoLty6V5DQSI6PwLcGIuXvN/rPcPQwyuwERgDeyrpnO2TeqJcnKttOwGbBdCEJ01jMSAUwYyUD0RYYGCzGtkMolv6d081FmeZundIDc3rPgpoG4GghkabHjVk4wiCd9qMke16rG0EDpWkqKGmsTjivrpHMlMRENGNRHRb5O/F8jxW1sMkZiGiK6GK2H9E7P5FAE8F8N0AjgJ4Tep6Zv5tZr6ema+/4oorZjV752IQAQNDM6kGAzI26GVAWU65hY1RbyIt5gXfGm9F4b+V/hFgcCF+bPNhVc6y6OjC2brNkUlJ8sH2twgKIKfctxHIYSFgukcNifKNdv9k7IzIATXUQASAQASuf4ySNNRByRCKINFXpkKZUeAaETQMrkTeSj7XCdhk38Qm1ywrgPHQ/w2JVdzM7KMA0DuEeycqjuDalWtx9crVuH/jflSD8yoXUV7MjCMIt5PG7ohRH51FYTwOqKHQeBxSQ9q1M2YsllRGwVBKYOIQgfk942ocRBbr31mNPHfTabKIDJv1yHrRDLI5EAGgnrfl57fUmEpVvoteHxiLR1tAZ8n+tqTXkLER1GPrfKDaMESWx8dPg3azkdF77zk0sweY+fmpY0R0moiuZOYH9US/OuVWPw7gT5nZupYINLFNRP8XwKvmbPfeS+EQwdDaCNKKwG6XfVVqzvDgetJq2A6ESEQQMwha6R9Nu49urgJLSiFKRDDNkyT0GvK8igpBDUUQgTQihitIe249gvGFy3Pf1zxGN2VWmUQUgYcIdARpCjnZ7KPOtjOux9HoXJlltdAJ2AA3icXoloJy63ueI0OF2qYZl20G4ojApD0wzwi9w1ithsiog+MLx3H18tUY12M8tPkArlo4BgBpRBDx0gHccwhpQApsOaHXUMyjLU4N6X4yyRkj7qOeDQXKwI7JwLrMSmQ0mAxQ6LQTHiKYDOdaoS9Sji2e2NX9lk7mNtVYDKh72ziCwc5oIcA3Fte1UgqlMBYnFIEZIxOutI1AIoIOTPKJVIqYggrh9fQIIIIZ8gEAL9fbLwfw/inn/gQCWkgrD5AalS8BcNsu23PpYhEBY9sYcUNqSD8kzyNAF0S3x3XqABKUUWpQbI43ZyOC0UazziqgEMHiFfb+VhHEVrQJ/lvSCSRePk9hyMnIRBAHcQSGfkA1cSvQvEwGLTmXVF2MQ/SPUYwmWMhTBHPnGnKIoJH8SyImwD730A9fnSsMr2OTOsCcJ6ihhLHPiFEEhjZA/zBWeYxjvWMosxJXLV4FAHhwcAbQimBcJdxHIzQa0HzW5r9EboBQBEGgmby/txAo+i74CYIqjCgS2Z6SoVau46FFXRYR1GMMq6FbvZvr6rGeWGenhV6gHJs8cYhAN7k/a2Ivuj4i2AktBPjU0GQA6LiMWYhAjsOC4SbzydBfnCRoRkUNBfUU9lB2qwheD+CHiOgOAM/Xn0FE1xPR28xJRHQtgKsBfCq4/p1EdCuAWwEcB/A/dtmeSxcbUAYMjSLo+KuL2IoY0IMe+iHq1AG5ySkTOz939Md0RHBY/Y/ZCTZWPUUQc0WdhgjkC08gR2VxHawIhY1A8MKSezaTTS4UVi48S5qRxXryNddlzclkc6IUQQl26RhSGSlNzVvjcqqrRcUUQSaUSa7TLcT6SvZXlpX2xS3MviKuCGIxIUSEftHHwEwgvUM4nQEn+scBACcWTgAAVofngYVjyr7Bk2jenIZvedDW5krdp4aU19BSdEyY+3vPquwFiiAwrkdoPQCOB58M7GQbUkP9XI856T46nhcRFBiBMdYLL0PWzEQE5S4RQWdBGYgB5z0kFIFFsoESL0NKsoEIlEyNI3ji9wH//F3A8uN21uY5ZAfkWFOY+SyAH4zsPwXgleLzPQCuipz3vN18/55KXgBZgZxrDE2gVzCoQtc8I6YTi6ywWSUzk1MG6dXBTBuBnuix9TCwHNjhN88A1z7Xa1e4HSKB0OvJ9xpSL0QjjiCCFMLJ0osjYP1deRcZbdtzfLopoIbESxK+UCWzrc2cLCBirjdlA/OupYZCRZvnJQAdaAZqeA3F6L9C2wjsNQByURt3lo0AUNy1RQS9w1gtclzTVWE3Jxa1IphsAgvHsK1XfDG+O7UCb3iIGWVuEJpFAAQUneizNNd7NF7ZA4nKc1aJR2wqXj8AGhEMHCLQfT2qRxiMB271bhXBRE3Sc0zOK1QAmGBtcB7HAAy0e9RMG0HRcyvq8WBnwWSATw0ZhdBZbDg5hFlQ5TjMQYGNYAWmjk9qLGWUAStXqr99kN0igseWFD3kbIkOFGUcETQ9Asjtt4hgxR2fRg1Nc5Vb0pP/xml/fzVWtoMlNYHMijaV3jv2PIEIsiyz2UcpcB81xnBvckjEEahUBHp/3nWTD5ouiQBsCcQ8n6YI4Ep2JhWB/s3b6wAI3XIBDJWCIFS0nrE4b67Eou63ecfafgqrCGa7/Enp5T1LG6B/GKfzAidKtVhYLpfRL/o4XQ2AhWO+a2X4UxOIwBm2AxQI9jK9UogSw0jyABHkxYI3SZjkhOZ7kopAB+HJFb4pLL9dbWNQDdzvs8Zin0qaJiv6ua4NlAehQQSzjcUiDmC8dQk2ggX1u+raOTEIG4FBsuF77duRMqEIBt44nBUwuF/SKgIpRU9VxDIfA+8F85BCusFYCaQiyDoOETTOl8bilG88YCd6bAQ2+M2H1X9BDdk2R/y6o9Gy5NcddknUfGOxjJOwfHOYfdRsVyOnICQ11Ago015DbGwEQhHEbARWEUyhhgBlSyh66GqFsT5abypt+dJF+q3huw29CtYUhFUEqWjQWCZZqAnKTPBbZR/reYaTuVayRDjRP45VqoGFo37UbfhTIzRarP2eTWB4sakIIjYR89lDfGXPFaKH9PhqKgKPGgKrlbdY4ZvfM5gMVMpog6pkwRdBJU2TQ/rai1tnAQCbGuUtCieNqHSXXQpwXUtgR2LbujmVGgrfax8tkQgo2/LoytSiYuo8sQfSKgIpRQ+FqLLV4JeTiEDsH60DeReFGGB7jgg2dRyFUQQ0fVJK8d+S87eTP7Pv829sBBIFRHh0QNsITABT0fXvLxGBQR+2rF/TWDaqVZrqHJifGtpeB4quheUxr6zSUwTNVX3MHbLIO1bBmytmUTShSEWwmqv7nhTP6kT3CFaLQiGCKo0IYopKbjeMxgxgeEG48vqLgiyYAkJjcV4uepih0BNtzH3URwRQirmeOEWgJ+/hZKhsBOb3GVvcaNOjkqbJin7Ga9vKq26NJ1goFpLUnJXukisKpIPBdiQyjbhxYhDUkFnAhNRQRpl9RsrNXF872vCyEKS8hlpFcJBS9lxBDTQNfylEYD1JKFcDpLvkTfANRaAnp2E1nP6Au0tAuRhBBPpzhBqaBidTn2V0KbGfYoJMgFJADdkJP4UIcj8fTcwl1RSykSsiIrJ90sn0+nt7DaAs7e9t9m+vA2XfvoQb442m0U4+lwglFQ0oK3p28ihMCo3Eai2l2HuFo4ZOkxpjJys31k6UyziT58Dicedjn0cQQUoBhXmlJDU0OC+oo+B4YCwObQRZ0fOjsfXEGXMf9egPZmB4QTdU/Q4z8Q8nQwwnwmvILJpGm3O7jx7SaOriUDlSbNRjLHWWpl2ipLPknA+2193EPq+Y84drXtK6MP4lNg7Me59nep6YqNxKMpV9SXFX5KlOJXsgrSKQUvRcjhQ0J3Dz8jQVQeH2b28A3WXvnBQ1BKQnDitLVzQRwUYaEcj7hd8b8sFGfA+iGvI0eY2znjjxbQRjQFBD5tJwlWzLKEZsBLLdpen/4VoaDQBu4hhcAIqepSDWR+vNvhcrtVxsx6ghu+otujoPzrYtMegFT0m3yYRi9xCBTmFyYuy8rE5kPawWObg/nRqaZSOIUkODC+75ZnHkIO/j9UG54OUrKvRkG3NJ9voBcN5uITVUDVSmUKMADJ0TnD9NVrR79pqmDderIVY6K9MuUdJddqvx7Q1XMW5eMWnEt9edjUDkGkpRQ4Drn46hkHU7UinrW0TwSEnRUxWxzMdE4qgm1SP261XGVEUgJr6pXkOAoodCRbD2LfV/5fGqXWLwyPulCmgbYeFa6LxM6qQNwEgDHZj7gwU15MoZht9rEYFVBHEPi05A+STFTByD80DR8wKXGtSQTA8eoYZiwXIWum9vWBtScgJMvLAeIhgqXvvE9qY9fhIFxkQ4V5RWEcRcIZPuo/CpGhdNDmB4wV0XKuWIIvAUTHfZtxF00tRQw33URMXr/jOKYDgZYnO8iaVST8KGGtJ8/zyKYFlP+mu6gP1GtY3lzhyr+86SWsnX1SUiAq1sti96SQIlNdTJOg2kBcgFTqm+2ziWJGjkVhE8UjJDEVjOOJFHpDDUUMdXBNOCS2ZCvqUTTWro4v0q8Kj0/bPD+zXaHzxuGWxkB11IDUl4wHKTG8czcVJWdKP0ASA8T0yFtmDl670wgKKGpiECA60H54Cy51EqDfRWuhc/Fh0cRwSGuli3NqSkIkg8z37RtxP86c3TWGZgYdNFjZ+o1LhbzclPvxD+1Ig9RbY19AZSiOC88+BKjF0jOeU+5dQ95OfL16v3mEtyw0ZgEiYGNoLBZID18bpTBGWgCKY9a3P/7gqW6hprY7WqXptsuftNE4MAhheVYbo7B4qQ0tPnD9eEIljxqKEUyneIoOMjgjBNTWR7pu1jl9IqAimdReQis1+K0ml6BKjPBaAmre5ScqUUfp5NDZ0E1h/y963dD6y4sAw58cWooVgRGcBPSOYUQR1d8YfpKWLbGQNsPIGKhaQHjTGkZ4l6DI1+1hWokmJWVFvngKLvGeoabnyCR465j8qJ3NIf5v7bG8jDYjdB+1MIz6OGtlZxEqUz+gM4OVJKYnWyOdV9NGV7Cr14vL4fXFCptAFwxEtISpb51FDeP2zTVABArlfdZoxIRdLwGjK/T/ef+T0Xty9iUk8cp5/lavLfASJAdxmHqhoXtSLYmGzNhwgMAlh/0P88r1hEoBVB0YMsXg+k32k7rvOOut4iAqcIvGeatYjgkZHuMjoifLsbTD7mJW+6JOrVZF0pONw/6h+fgghmUkPLVyqjm/F0ABQiOPSEaDs7kSjF2qRyCGgAyfmbcytmL4BI5iOS58ftBS7vYJ4XdkIJzy3NqrKK12z2XhjbwDkQAVdA0fVW0o17S0UQOU+e76ghgwg2wAbFyAChOdz8pCI4vXUaJ/K+pwhObF3Ux1atwTGGCLoRuwbQRARugiZgeMGmhQ4VQQzdevftHbIGcgAouoGNYBo1ZJwa9O8wbX94oNyfvRV8ueAQxByIAJ1FrBhEUPSxPlqfnxoCgLUH/c/zSogItM1gJ4qgk3c9aigr4+loWvfRR0q6y+iJNAmh14Z5wM2JXe/nWtETC0eD47tABEeuVf8v3Ov27RARGEkZiwnklAYBZLwqgORkHrtnDnjZLsN8N0YKvaoyV6YUZU9y5PMgAr09rQ9KQQWUkcSAsRfOrtiGa6i1kkxRf6nn2S/62K62UdUVVrdW8bjOijP6Azi+eRYZKyWxoSmD5bI5saUQQZg7yCiqmjJgcF5VejOf5W+L2Ay859FdVtHd5jsDY3GSGsq7wLq2belr8ixHJ+tYReD5/HcWnS1sHgNuZ0kpgskA3FnAxmhjTmpol4igswSAHCIwioDcwie1uLO2r6Kn6gpoyjcPqxxq8WwErdfQAUp3GT2TkApNX2DzEjaMsPohFeNtxfvNQgTioc6MhLSK4Jvq/2hTIYRDThF4VEgEEaSoITm3m99UAcikItArPhYRx+HEboQYVhHIAW0Qib1n2Qey0iqClDG9X/aV2ygwAxGIPiy6nmIM+7cQK8Cu2Da/KZq/x9x//UHbZSlngNTKzXi0nN8+j4cHD+NE75gyOOoI02LtQRzPSqxurWJjvIF+0Y++/PJZx74rRDZMGTC4gEKP65qmI4LQRoCi62XhzfXEGVsUedvlArD2gPrQc8q3V/RwRkcDeyv4ckEogvm8fw5XFc7X29joLGLCExzpHZl9nXnml6oIiFT7AkRARNa4PxMRmLG8rvpH2ghSNqAWERykdFfQl4ggmHzMS9gIGjIKwri/zUAE8mWeqQgOP1H9P68Vwbm7/P3wqaEy4hufEuk1ZM6tiUDmJYGkjCq7Qqm59pSBpQnACU8k/3uLrAC6S3bwhROeUWb9YkEVewfmo4aAho0gLFRCYrXZidACUURgMsle/Jb9KamVeWoSONRVE8adF+4Eg3FyWVN7F+5TynP9IZwoFrG6tapojggamPa9BqmEE3SdZcDmKkqNMho2ghgiCAzImZjIM91nsUWR3O4WC0rRAd5k2yt6ODtQtgAfESw4t855JufOEq6oKqzyBOd66j5He0dnXASHNtbu1593aCwGlGILEAEALOpxkoputkravPMX7gMALx2NpNq897pVBAcovRX0xQSXQgThCtekOCiMsWthOiKYtmJtyOJxNdEZRPDwHer/8adE7xfjkFO0DouEZHbCB0BG6Yh71Fx7isBMPNLQ7AUeidiE8PtzyoHOMiiyCgdcP/eLvqIMgOmTg0QEncXpitZTBM17yhfO9E+3f0ztOHsHKvLbGLY/9cIaRXD7udsBACePPFkdOH+PcgaotnGiexSnN09jbbSW5LtTVIzp4xAR1JQBaw+i1DamWiA8YHaKCdUBri2kx7ZR1l55StGenszcK65fLBfx0KZyfmgggsj5Seku4URVYSsj3KsVwbHesdnX9TVqePhO9X9hDuURysJRleZlcN5XBIVqRyoDqn025reevxvICnQSSGaa99teS6sIpHSX0aubBlQjZvCH1Aib1ZHJAdSfjgjkyzdTERApeujc3erzw3cAIODot7lmF3EvmVmDR07U5rcSgOzsHfYcszoMf3MlvGesK6ELIwCBklRSmZXehBy206yoekXPnTdVEYgXr7fi9UcjOleggI5YidmJVKATaw/oLCpkcvorDhEICs6L3UhwuVYRnNeK4IpnqAMXvmlR3snlx1tEME+UrFR4oe3CUUMEbDyEQrs6VgE92Fj9y3Qj9ovEqlnXSzDjTCp5+dt7cpIX24c6h+zY8QLA5O+dZ5XeWcKJibrP1ws1jR3tzzGpLxxX/8/8jf48h/IIZelxisbaPOPSwMCN21S5TKNg7bg7czvQP5o833N6aG0EByjdZfS4Th42gz98USr9MvTWtJunSR+tZdpkP7XGqpETTwNOf0Vtn70DOHS1C8JBYCyO5TaPAwKnCJh9b5kHb23cI0wlbRFBJhEBuyI95FaWDRtBlgPd5aSx2PTJ3IhAviTdlemISxQM6orVnBHZD2bC6uZdFeH98O2odau9/hL9kkQEnUARHH+6orvO3wOc+wYA4MSh67A+XsdDmw9ZxTFN5O9MIQKmDKgnKDUNwZFso1KiuZIENWQWOdNKcgJAzwaLLQPCDfJw97Dd9qgcOSHP48nTP2JjL76Wqf9HuvPYCBbU/bceBrLCW9HPLUsn1MJstOESQ8IpglnUUMegko2HgIWjyWI68tnM9C7cpbSKQEp32aOGGocTNoJKT4o94/4mXDuBuBugkZmIAAAe953AxXuVe90DtwAnnxFtFzAfTWHErtgFIgAIdPq25LlGqog/fVks2gElkUnDa4gKVRwl0mbAvUhKEZgJZcrkIBVzb8WbmJvUkJvUOhEqIUYNdbIOoGsGWGNxYoWWogXMxP61c1/DcrmMle4KcPQ6hfDO3glkJU4eVXTfPWv34Ir+FdH7SJHjyrbVoFPjNWT8/VfVClj6psckpEMBqBWwEV0sKRZxLvdZJdvzV/emHxbLRf+9WNTPorviKY6kLJ2wiOCWSmWZPa4L/cyURX3ewjF/7Mwry49zGUwjiCD1ThsmoC/buXBsdjEdzLlg3IXsShEQ0T8joq8QUU1E10857wVE9HUiupOIfkHsfxIR3aT3/zER7a/amyVLJz1qKBTzcjUqjhl3R2a1wggG/7TJ3vCKU+XK71T/7/qkQgRXf3fy/nIStBNsYqxLzt+dm3mrendjt8lgz0ZQ6WjsbmfRpiPo6ALyQIIaE9RQqFjNSnexXIStNTDLpdA8k4BWaLxA4sUtV9wEF+PMTV928o6dPHK5LyKp1eDh7mH7nJ506Enq3lc+E3jwFuD+LwCP+w5cfehae76pWjZNYpO26Wub6dIEyumgRNPX5vmF6Db6u2QxlESQYCi9JX1NgI6NImgYdg1lM69ff9nHyapGxozVeoirlq5KBjA2xLRp+RKLvIgxJKuFmbGWmrTNYmqpd9jZKlaummsxGEtAuJeyW0RwG4B/AuAvUyeQynv7VgAvBPB0AD9BRE/Xh/8XgDcy85MBnAfwil22Z3eychUO1WlqyDywSqShAILAM+HNE14Xk7l4zSc8B8i7wJ+/Sn1+4vd5hyXc9tqlJ4pY+UTADcyaa49TTq3UJSqQiMBQP928oyJK9bWx8plWykWMqEmzACpHEKAnDdPXizNWyIbSCzjfxoSz6FZjvWXngmuVlsj+aCbFTt6xbrymnkHqxUxOAkS4evlqAMC1ZsJ//LMU13zPXwFXXY+nHHEOAI9bnF2OUCoC+6yDCGkVPe2enNkyz29WhloAwPLjG7vMO5AqmJIZ9+Yg/sMouIYSM89lBwVYelzjSWM1VkzfziXmHT163fzXSJHXHf87dtP0RcpobZRuv+g7JXTk2rkQwdxK7hJlV4qAmb/GzF+fcdpzANzJzHcx8wjAHwF4sS5Y/zwA79bnvQOqgP0jJ70VyzvGxDywkOox+0tm4Iqn2v3mZY75N5/oqxdiLjjbXQK+/QUqBP/wE5ViEJIaJGb1lZqczMvYzbt2EC8XCyoqFMCTDz/ZnnNF/wr7u/tF307e3bxrjX7lyhNwrX4xCyrs+VH/7oWjOKL7OuxPc7+CCvfSRiYjT8x5h68B4DjVBsUiszuuuHtes6Kuk31pApQWigXgyu8CADy1UH2aUu7TKkmZyeqZJ56pdnz7C93Bp/4oFstFe9+nHX1a8j5GZFvNszb7zHM70j8KHHuyTRNhFg3m/FSQoScnntrYZZ5ZMpr3yJPU/yUf2Rhl15i4j3979PypcvI78Ixt5e79zCueuYPr9Dr02JPnv0bKVc9222Jcmvc99b4ZtLjUWXLK5MRT990QPJcw867/AHwSwPWJYy8F8Dbx+ScBvAWqWP2dYv/VAG6b8h0/A+AUgFPXXHMN75vc9l7+g4+/mj//4Ocbh8bVmH/t1K/xma0z3v4zW2f4jTe9nscf+k/M5+6x+7+8+mX+3dt+N/o1t565NXksKmsPMv/Zq5jvOxU9/L473scf/+bHvX11XfNbvvgWvvfivXbfh77xIb75oZuZmXljtMFv+PwbeDAecF3X/Fu3/BZ/c/UrzH/2an7fF/8P37d2H9d1ze/86jv54vZF3hxt8pu/8Gbenmzz/ev38w1fvIHruua7L9zNf/C1P2Be/Tqf+/Cr+Ma7P8LMzMPJkH/zlt/kzdEmMzOfeugUv//O9+vf8xCf/uhr+Y03/QqPqpHX7gvDC/wrn/sVdd25u5lv/G/M4+H0/nngS8yfeB1zXTOz6t+33/r26KmfuelN/O6Pv8bbt7q5ym+6+U08nLjvuW/tPvsbeXuT+f/9Z7737k/xW7/4Vq7qyrv+0/d/mt97+3unNvHei/fy6256ne0PZmb+8p8w/+Wv2Xbf/NDN/OYvvFl9Z0L+6lt/xe+5/T3evjNbZ/iGW26w7arrmm+45Qb+5sVvMn/zr7m68b/zm069kR9Yf4CZVR//xhd+g8fVmJmZP//g5/ldX3+Xvd+n7vsU//UDf60+TEZ84/t/mm+8xfXnaDLiG754A69vr3vtuPGeG/l9d7xPPa8bf5n57F3e8VE14l8/9et894W7/R9VTdTzW/2b5O9uyH2n+N6PvIZ/9XO/wheGF+a/buMM84d/kXntofmvCeWm32a+zX/eq5ur/LqbXscbo43oJQ+sP8C/+rlfVeP9zO3MH/0valwx8+9/9ff5pgdualzzqfs+xR/8xgcvvZ2BADjFkfmVeIpxFACI6EYAMZz6WmZ+vz7nkwBexapofXj9SwG8gJlfqT//JIC/D+CXAHyWFS0EIroawIeZ+TtmKa/rr7+eT51qfFUrrbTSSitThIhuZuaGPXdmblNmfv4uv/t+qNW+kSfofWcBHCaigpknYn8rrbTSSisHKAfhPvp5AE/RHkIdAC8D8AENUz4BRR0BwMsBvP8A2tNKK6200oqQ3bqP/hgRfQvA9wD4MyL6iN7/eCL6cwDQq/2fA/ARAF8D8C5m1tFReA2AnyeiOwEcA/D23bSnlVZaaaWVnctMG8GjUVobQSuttNLKziVlI2gji1tppZVWLnNpFUErrbTSymUurSJopZVWWrnMpVUErbTSSiuXufytNBYT0RkA35x5YlyOA3h4D5uzV9K2a2fStmtn0rZrZ/JYbdcTmbmRuOtvpSLYjRDRqZjV/JGWtl07k7ZdO5O2XTuTy61dLTXUSiuttHKZS6sIWmmllVYuc7kcFcFvP9INSEjbrp1J266dSduuncll1a7LzkbQSiuttNKKL5cjImillVZaaUVIqwhaaaWVVi5zeUwpAiJ6ARF9nYjuJKJfiBzvEtEf6+M3EdG14tgv6v1fJ6IfPuB2/TwRfZWIvkxEHyeiJ4pjFRHdov8+cMDt+ikiOiO+/5Xi2MuJ6A799/IDbtcbRZtuJ6IL4ti+9BcR/Q4RrRLRbYnjRES/odv8ZSJ6tji2n301q13/QrfnViL6DBF9lzh2j95/CxHtaRbHOdr1/UR0UTyr/yqOTX3++9yuV4s23abH01F9bD/762oi+oSeB75CRP8hcs7+jbFY2bK/jX8AcgDfAHAdgA6ALwF4enDOvwXwW3r7ZQD+WG8/XZ/fBfAkfZ/8ANv1AwAW9Pa/Me3Snzcewf76KQBviVx7FMBd+v8RvX3koNoVnP/vAfzOAfTXPwTwbCTKqQL4EQAfBkAA/gGAm/a7r+Zs1/ea7wPwQtMu/fkeAMcfof76fgAf2u3z3+t2Bee+CMBfHFB/XQng2Xp7GcDtkfdx38bYYwkRPAeqBvJdzDwC8EcAXhyc82IA79Db7wbwg0REev8fMfM2M98N4E59vwNpFzN/gpm39MfPQlVr22+Zp79S8sMAPsbM55j5PICPAXjBI9SunwDwh3v03Ulh5r8EcG7KKS8G8Hus5LNQ1feuxP721cx2MfNn9PcCBze25umvlOxmXO51uw5kbAEAMz/IzF/Q2+tQtVuuCk7btzH2WFIEVwG4T3z+Fpodac9hVTDnIlRBnHmu3c92SXkFlNY30iOiU0T0WSJ6yR61aSft+qcahr6bVF3pnVy7n+2CptCeBOAvxO796q9Zkmr3fvbVTiUcWwzgo0R0MxH9zCPQnu8hoi8R0YeJ6Bl636Oiv4hoAWoyfY/YfSD9RYqyfhaAm4JD+zbGZtYsbuXghIj+JYDrAfwjsfuJzHw/EV0H4C+I6FZm/sYBNemDAP6QmbeJ6F9DoannHdB3zyMvA/BuZq7Evkeyvx61QkQ/AKUInit2P1f31QkAHyOiv9Er5oOQL0A9qw0i+hEA7wPwlAP67nnkRQA+zcwSPex7fxHREpTy+Y/MvLaX954mjyVEcD+Aq8XnJ+h90XOIqABwCMDZOa/dz3aBiJ4P4LUA/jEzb5v9zHy//n8XgE9CrRQOpF3MfFa05W0A/t681+5nu4S8DAF038f+miWpdu9nX80lRPSdUM/vxcx81uwXfbUK4E+xd3ToTGHmNWbe0Nt/DqAkouN4FPSXlmlja1/6i4hKKCXwTmZ+b+SU/Rtj+2H4eCT+oNDNXVBUgTEyPSM459/BNxa/S28/A76x+C7snbF4nnY9C8pA9pRg/xEAXb19HMAd2CPD2ZztulJs/xiAz7IzTt2t23dEbx89qHbp854KZbyjg+gvfc9rkTZ+/ih8Q97n9ruv5mzXNVA2r+8N9i8CWBbbnwHwggNs1+PMs4OaUO/VfTfX89+vdunjh6DsCIsH1V/6t/8egP895Zx9G2N71rmPhj8oq/rtUJPqa/W+X4ZaZQNAD8Cf6BfjcwCuE9e+Vl/3dQAvPOB23QjgNIBb9N8H9P7vBXCrfhluBfCKA27X6wB8RX//JwA8VVz707of7wTwrw6yXfrzLwF4fXDdvvUX1OrwQQBjKA72FQB+FsDP6uME4K26zbcCuP6A+mpWu94G4LwYW6f0/ut0P31JP+PXHnC7fk6Mrc9CKKrY8z+odulzfgrKeURet9/99VwoG8SXxbP6kYMaY22KiVZaaaWVy1weSzaCVlpppZVWLkFaRdBKK620cplLqwhaaaWVVi5zaRVBK6200splLq0iaKWVVlq5zKVVBK200korl7m0iqCVVlpp5TKX/w/CykUV7IyhEgAAAABJRU5ErkJggg==", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(0,2,5000)\n", + "\n", + "# m(t)\n", + "k = 0.25\n", + "dc = 0.25\n", + "f1 = 1\n", + "f2 = 1.4\n", + "\n", + "# x_c(t)\n", + "fc = 10\n", + "kp = 1.5 * 2 * np.pi\n", + "kf = 15\n", + "\n", + "m = dc + k* np.cos(2*np.pi*f1*t) + k*np.sin(2*np.pi*f2*t)\n", + "\n", + "AM = 2* m* np.cos(2* np.pi *fc*t)\n", + "\n", + "PM = 1* np.cos(2* np.pi * fc*t+kp*m)\n", + "\n", + "dt= t[1]-t[0]\n", + "phi = kp * m\n", + "phidt = np.gradient(phi,dt)\n", + "FM = 1* (np.cos(2 *np.pi *fc *t + phidt))\n", + "plt.plot(t, m, '-')\n", + "#plt.plot(t, AM,'b')\n", + "plt.plot(t,PM)\n", + "plt.plot(t,FM)\n", "plt.show()" ] } |