{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook was created by Sergey Tomin (sergey.tomin@desy.de). Source and license info is on [GitHub](https://github.com/ocelot-collab/ocelot). April 2020.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tutorial N6. Coupler Kick.\n", "*Second order tracking with coupler kick in TESLA type cavity of the 200k particles.*\n", "\n", "As an example, we will use linac L1 of the European XFEL Injector. \n", "\n", "\n", "The input coupler and the higher order mode couplers of the RF cavities distort the axial symmetry of the electromagnetic (EM) field and affect the electron beam. This effect can be calculated by direct tracking of the particles in the asymmetric (due to the couplers) 3D EM field using a tracking code (e.g. ASTRA). For fast estimation of the coupler effect a discrete coupler model (as described, for example in [M. Dohlus et al, Coupler Kick for Very Short Bunches and its Compensation, Proc. of EPAC08, MOPP013](http://accelconf.web.cern.ch/AccelConf/e08/papers/mopp013.pdf) or [T.Hellert and M.Dohlus, Detuning related coupler kick variation of a superconducting nine-cell 1.3 GHz cavity](https://arxiv.org/pdf/1804.02487.pdf)) was implemented in OCELOT. Coefficients for 1.3 GHz modules are given in [M.Dohlus, Effects of RF coupler kicks in L1 of EXFEL](http://www.desy.de/fel-beam/s2e/talks/2017_02_07/martin.pdf). The 1st order part of the model includes time and offset dependency; the offset dependency has a skew component. To include effect of all couplers, the kicks are applied at the entrance and the exit of each cavity. \n", "\n", "The zeroth and first order kick $\\vec k$ on a bunch induced by a coupler can be expressed as\n", "\n", "\\begin{equation} \n", "\\vec k(x, y) \\approx \\frac{eV_0}{E_0} \\Re \\left\\{ \\left( \n", "\\begin{matrix}\n", "V_{x0}\\\\\n", "V_{y0}\n", "\\end{matrix} \\right) + \\left( \n", "\\begin{matrix}\n", " V_{xx} & V_{xy} \\\\\n", " V_{yx} & V_{yy}\n", "\\end{matrix}\\right)\n", "\\left( \n", "\\begin{matrix}\n", "x\\\\\n", "y\n", "\\end{matrix} \\right) e^{i \\phi}\\right\\}\n", "\\end{equation}\n", "\n", "with $E_0$ being the beam energy at the corresponding coupler region, $V_0$ and $\\phi$ the amplitude and phase of the accelerating field, respectively, $e$ the elementary charge and $x$ and $y$ the transverse beam position at the coupler location. From Maxwell equations it follows that $V_{yy} = −V_{xx}$ and $V_{xy} = V_{yx}$. Thus, coupler kicks are up to first order well described with four normalized coupler kick coefficients $[V_{0x}, V_{0y}, V_{xx}, V_{xy}]$.\n", "\n", "\n", "In OCELOT one can define copler kick coefficients for upstream and downstream coplers. \n", "\n", "```python\n", "Cavity(l=0., v=0., phi=0., freq=0., vx_up=0, vy_up=0, vxx_up=0, vxy_up=0,\n", " vx_down=0, vy_down=0, vxx_down=0, vxy_down=0, eid=None)\n", "```\n", "\n", "#### This example will cover the following topics:\n", "* Defining the coupler coefficients for Cavity\n", "* tracking of second order with Coupler Kick effect.\n", "\n", "### Details of implementation in the code\n", "*New in version 20.04.0*\n", "\n", "The coupler kicks are implemented in the code the same way as it was done for ```Edge``` elements. At the moment of inizialisation of ```MagneticLattice``` around ```Cavity``` element are created elemnents ```CouplerKick```, the coupler kick before ```Cavity``` use coefficents with suffix \"_up\" (upstream) and after ```Cavity``` is placed ```CouplerKick``` with coefficent \"_down\" (downstream). The Coupler Kick elements are created even though coupler kick coefficennts are zeros. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initializing ocelot...\n" ] } ], "source": [ "# the output of plotting commands is displayed inline within frontends, \n", "# directly below the code cell that produced it\n", "\n", "%matplotlib inline\n", "\n", "from time import time \n", "\n", "# this python library provides generic shallow (copy) \n", "# and deep copy (deepcopy) operations \n", "from copy import deepcopy\n", "\n", "# import from Ocelot main modules and functions\n", "from ocelot import *\n", "# extra function to track the Particle though a lattice\n", "from ocelot.cpbd.track import lattice_track\n", "\n", "# import from Ocelot graphical modules\n", "from ocelot.gui.accelerator import *\n", "\n", "# import lattice\n", "from xfel_l1 import *" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "tws0 = Twiss()\n", "tws0.E = 0.005\n", "\n", "tws0.beta_x = 7.03383607232\n", "tws0.beta_y = 4.83025657816\n", "tws0.alpha_x = 0.981680481977\n", "tws0.alpha_y = -0.524776086698\n", "tws0.E = 0.1300000928\n", "\n", "lat = MagneticLattice(cell_l1, start=bpmf_103_i1, stop=qd_210_b1)\n", "\n", "# twiss parameters without coupler kick\n", "tws1 = twiss(lat, tws0)\n", "\n", "# adding coupler coefficients in [1/m]\n", "for elem in lat.sequence:\n", " if elem.__class__ == Cavity:\n", " if not(\".AH1.\" in elem.id):\n", " # 1.3 GHz cavities\n", " elem.vx_up = (-56.813 + 10.751j) * 1e-6\n", " elem.vy_up = (-41.091 + 0.5739j) * 1e-6\n", " elem.vxx_up = (0.99943 - 0.81401j) * 1e-3\n", " elem.vxy_up = (3.4065 - 0.4146j) * 1e-3\n", " elem.vx_down = (-24.014 + 12.492j) * 1e-6\n", " elem.vy_down = (36.481 + 7.9888j) * 1e-6\n", " elem.vxx_down = (-4.057 - 0.1369j) * 1e-3\n", " elem.vxy_down = (2.9243 - 0.012891j) * 1e-3\n", " else:\n", " # AH1 cavity (3.9 GHz) module names are 'C3.AH1.1.1.I1', 'C3.AH1.1.2.I1', ...\n", " # Modules with odd and even number X 'C3.AH1.1.X.I1' have different coefficients\n", " \n", " module_number = float(elem.id.split(\".\")[-2])\n", " \n", " if module_number % 2 == 1:\n", "\n", " elem.vx_up = -0.00057076 - 1.3166e-05j\n", " elem.vy_up = -3.5079e-05 + 0.00012636j\n", " elem.vxx_up = -0.026045 - 0.042918j\n", " elem.vxy_up = 0.0055553 - 0.023455j\n", "\n", " elem.vx_down = -8.8766e-05 - 0.00024852j\n", " elem.vy_down = 2.9889e-05 + 0.00014486j\n", " elem.vxx_down = -0.0050593 - 0.013491j\n", " elem.vxy_down = 0.0051488 + 0.024771j\n", " else:\n", "\n", " elem.vx_up = 0.00057076 + 1.3166e-05j\n", " elem.vy_up = 3.5079e-05 - 0.00012636j\n", " elem.vxx_up = -0.026045 - 0.042918j\n", " elem.vxy_up = 0.0055553 - 0.023455j\n", "\n", " elem.vx_down = 8.8766e-05 + 0.00024852j\n", " elem.vy_down = -2.9889e-05 - 0.00014486j\n", " elem.vxx_down = -0.0050593 - 0.013491j\n", " elem.vxy_down = 0.0051488 + 0.024771j\n", "\n", "# update transfer maps\n", "lat.update_transfer_maps()\n", "tws = twiss(lat, tws0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Twiss parameters with and without coupler kick" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bx0 = [tw.beta_x for tw in tws1]\n", "by0 = [tw.beta_y for tw in tws1]\n", "s0 = [tw.s for tw in tws1]\n", "\n", "bx = [tw.beta_x for tw in tws]\n", "by = [tw.beta_y for tw in tws]\n", "s = [tw.s for tw in tws]\n", "\n", "fig, ax = plot_API(lat, legend=False)\n", "ax.plot(s0, bx0, \"b\", lw=1, label=r\"$\\beta_x$\")\n", "ax.plot(s, bx, \"b--\", lw=1, label=r\"$\\beta_x$, CK\")\n", "ax.plot(s0, by0, \"r\", lw=1, label=r\"$\\beta_y$\")\n", "ax.plot(s, by, \"r--\", lw=1, label=r\"$\\beta_y$, CK\")\n", "ax.set_ylabel(r\"$\\beta_{x,y}$, m\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Trajectories with Coupler Kick" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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Uioi8vqWJJz+tZVebBwCNSuCO84v51rycIxtW5DgxJz+BN35wGu9UtPBORQsfVrexclcHn+7u4MvTMvnJwiJSbaPvfRfVxcHpP4VJl8M7t8LuZbJo2vICTP8mzLpOMaxUUFA4JVCEksL/LiEfvHwt7Hxb/vucu+WoyDCCp7HHxzf+8Tl7OrwAWPQarpo1jm/NyyXd/sWIoKhVAhdNTueiyens7fLy4Hs7ebuihf9sbOTNbc18qW/ZaQWJoxd9jhy4eqmcv/TubeBqhOX3weePy3YKU685ZI6XgoKCwsmMIpQU/nd5/fuySFLr4ZLHoOzSYYutqunkJy9tpdUVINGi59r5uVxdnkWcQXtMD0+UJKo8fnojUTINOrINujGLWmUnmHn4q9P4dkMP971dzYa9Pby0oZGXNjQyI9vBzxZPYEbOKCNCggDFF8o9BKvfgE//KBtWvvkj2PSsHKHLmDYmx62goKBwvFGEksL/JhX/hcpX5N5t17wCOacNKVLT7ua+d3bw8Y52AMYnW3j+2+WH1UQ1WpoCIVb3emgKhGgKhmkMhNjlDdAUDMfKxGlUlFlMnBFv5Zr0BBzao799p2U5+M8Nc1hb283bFc38Z0MjG/b28OXH1nBOcQq3LiqicLS2AloDTLpCHkPu8yfgk/uhaaM84O7Ey6H4IkCC3n3g3AdBN+jjwGCTJ50JfN0gReWx9IwOuflOawZ/j+zvZEoEcxKYEuQx9iJB0OiVXncKCgrHjGMulB555BF+97vf0dLSQmlpKQ899BDz588fsfyKFSu4+eabqaysJD09nVtvvZUbbrhhUJmXX36Zu+66iz179pCfn8+9997LJZdcElt+//3388orr7Bjxw6MRiNz587lgQceoKioKFbmm9/8Js8+++yg7ZaXl7N27doxOnOFk5a2Knj7Zvn7gp8OEUnd3hB//GAnL36+j6gooVEJfG12NjedU4jNdPRRJFckSo03wG5fkBpfgO0ePyu63YjDlDWrVaTrtTQEQrgiIqt7Pazu9fDQ3jauSUvgO+OSyDAcgQP3AARBYE5+AnPyE/jBmeP580e7eGlDIx9Wt/HRjjbKc+O5bFoml0zNGF2iuloLc74PZV+Wx8jb9m+oeEmexhKVFsSwHBG0pMjj1llSZAEVDYM5ESypYO2bBBUgQFwaWNNlwaU0CyooKByCYyqUli5dyo033sgjjzzCvHnzePzxx1m8eDFVVVVkZWUNKV9XV8f555/Pddddxz//+U9WrVrF9773PZKSkrjssssAWLNmDVdeeSW/+c1vuOSSS3j11Ve54oor+OyzzygvLwdksfX973+fmTNnEolE+PnPf87ChQupqqrCbDbH9rdo0SKefvrp2N863dG9cBS+AHTtgecvhoATxpXLvbQG0OYKcMXja9jb5QPg3JIUbl88gbyj7OrfHY6wyeXj2aZOPuhyDVtmepyJ8SYDGQYtGQYd4/Q6ptvMmNQqwqLEbl+ADU4vzzZ3UukJ8HhjB081dXBRkp358VbOTYgjSXd0Qi7VZuD+Sydx7fw8fr9sJ+9ub+0bwLebR5fv4eaFhZxflja6jVlT4NLHofx62Z+qvUoWK7ZxYB8nR5GCbvl/EXBC0NMfKfL3yNElf7ecS2a0QzQE3k7wdQGSLJIAokFwNsjT4aDSyMIK5J56cRnysdkywJIMCPJ+bVny8ZqTFWGloPA/iCBJ+x1gxp7y8nKmTZvGo48+GptXXFzMxRdfzP333z+k/G233cYbb7xBdXV1bN4NN9zA1q1bWbNmDQBXXnklLpeLd999N1Zm0aJFOBwOXnzxxWGPo6Ojg+TkZFasWMGCBQsAOaLU29vLa6+9NurzCQaDBIPB2N8ul4tx48bhdDqJizuCgUgPQUVFBRMnThzz7f6vUr3uI4pX3yi/UFPK4Jtvyc07fdS0e7j++Q3s6fCS6TDyuy9PZk5+whHtqzcc4d8t3Wx0+djq9tEQCA1anqrTUmDSU2A2UGDSM99hpcg8uiY9SZJY3u3mbw3trOr1xObrBIHLUx1cPy6ZwlFu61Ds6/bxxtZm/v5pbcxMsyQtjssK9XzzvJnH1UwzhhiVhVQkADqLLLI87eBtB0+bvFytBW8HuFv7J0EAMdL/N4f56FPr5SiV3gqZM2D8eTD+3DGxQ1Du9bFFqc+x5VSsT5fLhc1mG9X7+5hFlEKhEBs3buRnP/vZoPkLFy5k9erVw66zZs0aFi5cOGjeeeedx1NPPUU4HEar1bJmzRpuuummIWUeeuihEY/F6XQCEB8/ODl1+fLlJCcnY7fbOf3007n33ntJTk4ecTv3338/d99995D5lZWVWCxjby7ocrmoqKgY8+3+L6IO9pCz8sfg3UfQkkntjPuI1DQCjYiSxJs73Ty3xUkoKpFoUvOrBQ4svmYqKppHvQ+vKFERgc0hifeDEp4D3sPpKpiqE/iyUSBTLQJ+CPohCKGeVg7nP50I/EoDO20qVoYkNocldkck/tXSzb9auinXwkVGFZO0YDzK/J0FiTDjwhRer3bzarWLqhYXVS3wt3XvsbDAwsXFcVh0JyrS0tP3aQCyQD8gUq0DHMOsAiBG0AS60Qa6QBBQRXxofW1o/e1ofW1ogvJ2NcHevvmdCNEguJrk9Tt2wOZ/ElUbcafNpTvvYryJU444V0q518cWpT7HllOxPj0ez6EL9XHMhFJnZyfRaJSUlMFjZKWkpNDa2jrsOq2trcOWj0QidHZ2kpaWNmKZkbYpSRI333wzp512GmVlZbH5ixcv5vLLLyc7O5u6ujruuusuzjrrLDZu3IheP/wQD7fffjs333xz7O/9EaXS0lIlonQyE3DBs98H7z6Iy0T/f+9RbB8HyN3+b/nPVtbW9gIwf3wiv/vy5FEnbLsjUZ7Y18GHXS62un2D8owmmA1cluJgapyJiRYjtjFIvj6QicCXka/z9U4vj+7r4L1OJ+vCsC4sohHggiQ7149LYlqc+VCbOyjl0+AWb4jHVuzhhbX19ARElm538U6Nj+vm5/GteTlYj3FPwBNGNAyuZrkp0N0K9Z9B1RuonQ3YGz/C3vgRpE2RjUpLlsgRrcNAudfHFqU+x5ZTsT5druFTIIbjmCdzH9idWZKkg3ZxHq78gfMPZ5s/+MEP2LZtG5999tmg+VdeeWXse1lZGTNmzCA7O5u3336bSy8dvpu4Xq8fUUQpnMR8+Cto2UpEb0fz9dflfBPgkx3t/PDFzXiCEYxaNXdcUMzXyrNG1QV/lzfAOx29PN3USVsoEpufZ9RzmsPCGfFWzku0oT5OvbEEQWCW3cIsu4U9vgBPNnbyQaeTpmCY19t7eb29l5lxZr4zLonFiTY0R9hkFm/Wccf5xSxKD9OiSuLPH+1iV5uHP36wi3+squPb83K5dHomGV8Qb6lRo9aCI1ueAIoWy2MBNm2CLf+UjTZbtsDL34YPfimbbpZdCgn5J/KoFRQUxoBjJpQSExNRq9VDIj3t7e1DIkL7SU1NHba8RqMhISHhoGWG2+YPf/hD3njjDVauXElmZuZBjzctLY3s7Gx27959yHNT+ALRtElOJAYaZv2avMQCACoanXzvX5vwh6NMy7LzxyumkJN48IhLjS/Af1t7eLujl92+/ly1XKOOH2WncLrDSvpR9kAbC/JNBn5bmMlvCzPZ7vbxRGMHr7b1st7lZX2lF4dGzTyHha+lJ3C6w3pE3kxatcAFE9NYVJbKW9ua+fOHu6nt9PKHD3bxhw92sag0lR+dPZ6S9LGPtJ40CAJkTpenM++EDU/JtgiuRvjkHnkqOFceMzDvTMXCQEHhC8oxSyzQ6XRMnz6dDz74YND8Dz74gLlz5w67zpw5c4aUf//995kxYwZarfagZQZuU5IkfvCDH/DKK6/w8ccfk5ube8jj7erqYt++faSljbJHj8LJjxiFt38CSDDpSrzJsunhln29fOuZz/GHo8wfn8jS6+ccVCR5o1H+WN/KGZ/v4KG9bez2BdEKAmfFW/njhHEsnzWBq9ISTgqRdCBlVhN/Kc5mw5wSbspOIV6rpicS5a0OJ1/ZWsuCz3fwbFMn3mj0iLavVgksmZLB+zct4I9XTKY8V84DfK+ylfP/8ik3PL+RqubRh7i/sJgT4PRb4cbtcPGjkH8WIEDNB/D8JfJYeJuek3vwKSgofKE4pr3eli5dyjXXXMNjjz3GnDlzeOKJJ3jyySeprKwkOzub22+/naamJp577jlAtgcoKyvj+uuv57rrrmPNmjXccMMNvPjiizF7gNWrV7NgwQLuvfdelixZwuuvv86dd945yB7ge9/7Hi+88AKvv/76IO8km82G0WjE4/Hwq1/9issuu4y0tDTq6+u54447aGhooLq6Gqt1dAZ7h5M1fySciu3Cx5X1T8l+Sfo4+MEGKurbaZASufmlLQQjIiVpcSy9fvaIeTXVHj/PNXfx39Zu3FE5++gMh5XLUx2cm2gjTqM+nmczJoRFiW1uH6+19/BiSzeevvOya9QsTrJxTkIcCxNsaA/RNHewa3NXm5u/fLSbtyta2P90OaMoidMKErGbdIQiIv6wLMySrHpSrHqS4wwkWmShqdeo0WlOgW743bWw7nHY/E8I9SWOas2y8Wb59YPcypV7fWxR6nNsORXr83De38dUKIFsOPnggw/S0tJCWVkZf/rTnwZ10a+vr2f58uWx8itWrOCmm26KGU7edtttQwwn//vf/3LnnXdSW1sbM5wcmFc0UlPC008/zTe/+U38fj8XX3wxmzdvpre3l7S0NM4880x+85vfMG7cuFGfmyKUTmK8nfDX6RDohcUPIs36Dnf9exX/3Cr3gDxrQjJ/uWoqFv3Q1udPulz8sb6N9S5vbF62QcdteWlckmw/qQe/PRzckSj/bunm740d7B1gX5Cq0/L1jASuSU8Y0ZdpNNfmcIJptCSYdaTaDKTGGUi06BEEsJm0pNuMpNuNpNkMJFh0qFUC8Sbd6IwwTxT+XjmatP7v0Lu3f/642TD7uzDhQiqqqpV7fQxRnp1jy6lYnyeVUDqVUYTSScxr35eTbFMnEfq/j/jZa1W8sknu2v1/83L5+QXFQzyA5Ca2Nh5ukIcs0QhwXqKNr6cnMt9hQXWKCKQDiUoSn/V4+LjbxSttPXT0JafrBIEvJdu5KNnOaQ4LZnV/BO1wrs3aDg+vbWmmrtOLyx9Gr1Fh1KmJihId7iDt7iBtrgC+0JE3/6XGGciwG8lwGLGbtBi0atJtBjLjTYxzGMl0mDBoT3AEUJKgcb0c6dz+cr9hpm0c7WlnknzOjyBx/Ik9xlME5dk5tpyK9akIpeOEIpROUhrWwj/Ok79/+0Pu2mjk+bV7UQnw6yVlfG129qDi3miUZ5q6eKShna6wLBK+mZHIzdkpJOtP0e7uIxASRd5s7+Wppk42ufrzaSxqFVekxvPNjEQKzYZjcm36Q1EEAXyhKC1OP22uAK3OIN3eIJIE3b4QLb0BWpx+mnoD9PpCRCVp1NEqvUaF1aAh02EiK16eMh1GbEYtDrOOnAQzyVY9quNhoululQXThqf6nMb7yF0AM74NEy44bIsBhX6UZ+fYcirW50lhOKmgcEKIRvoSuIFpX+eN7gyeX7sZgJ/NTxwkkgJRkX80dfLwAIGUbdDxi4J0LkiyH5fDFcUIkUgvLvd2fL46xKifaNRPVAwQibjw+WoBFTpdAmZTHiZzAba4KZhMOcfkeHQqFZelxnNZajybXT5eau3mwy4X+wIh/tHUyT+aOjnNbuHMqEReNDooynS0GHXytgxaNfFmHaXptkOuI4oSHZ4gjT1+mnr9NPX4cQXC+ENRGnv8NPb4aOzx4wlGCEZEgp4QnZ4QW/b1Drs9vUYVE1BxRi2pcQZyEs3k9k3JVv3YNL1aU+Gsn8P8n8COt3Cteoq4trVQt1KeLKkw/Rsw7RvykCoKCgonDCWidBQoEaWTkDWPwLLbwRhP3dUruPDJKryhKN8/M59F6eFYfXaEwnyjoi4WNck26LgxJ4Uvp8QfMpF5tEiSRCTiIhhsIxTqIBhsxenaisu1hXCoh3DERTQ6enfYgVgsxSQnLyY5aTFmc96YHO9IiJLEpz0enm7q4P1OV8xUU68SODchjm9mJDLPbjlpc7ckScLpD+MJRuj1hWns8bG3y0dDtyyivMFITGxFxYM/Dk06NTkJZnKTzMzIdnBGUTK5h7CVGA0VFRVMHGeHjc/I+UxeufkXQS17Ns34P9liQBlrblQoz86x5VSsT6Xp7TihCKWTDFcL/G0mhNyEzn+IL63OZ0erm/LceP51bTnVVZVMnDiRD7tc3LZzH03BMHaNml8UpHP5UQokUQzi9zfh9+/F799Lr3MjXV0rRy2EjMYsrNYyNGoLKrUBtcqIWm3EaMpBEDQEg634vHvweHfjcm1GkvrzeUymfOKsE3E4ZpOUdA5a7Ujjdhw9+wIhnm/q5KXGdloH2JAXmPR8PT2BK1LjsR8DB/LjQTgq0tzrZ2+Xj+ZeP+5AhKZeP3WdXuo6vTT2+BhOR2UnmFhclsaFk9IoTY87IsE46F6PhGDHm7D+H7B3gFGuIxdmfAumfE22I1AYEeXZObacivWpCKXjhCKUTjL++39ykmzmTG6z/Y6lG5tJtOh450fzSY4zsHzrNv6ljuPNjl5ANop8flIeBabDH0A2EnHj8eyku2cNbW1v4fPtYaRBVjUaG3p9MnpdMiZTHg7HbPT6VLRaGxpNHBpNHCrV6PNRwuEeOjo+pL3jXbq7VyFJ/c7ggqDGYZ9DUvJ5JCWejV4/vLnr0bJt2zZUuQU819zFy209ePtsBjQCzLVbuCTFwZeS7Ji/gBYKIxGKiOzr8VHf6WVnm5vPdneyvr6bcLT//56XaObCyel8aXIaBcmjsxmBg9zr7Ttkw9St/4ag3GMTtQ5KLoaZ34Zx5YqR5TAoz86x5VSsT0UoHScUoXQSUbscnlsCgooPTlvKdR+EEQT417fLmZOfwPPNXdy9uxGvBGoBvpOZxC25qaPOsYlE3LS0vkZPz1o8nir8/oYhZdRqE0ZjNkZjFmbzeBITz8JiLkKtPnwhNlrCYSe9vetxu7fT0fkhHk/1oOV6XQrxCQtITjqP+Pi5qFRjMwTPwGvTE4nyclsPzzV3UukJxMqY1SouTrZzVVoC0+NMJ23T3NHgCUZYsbODt7Y18/GOdoKR/jDbhFQrF01O50uT0xkXbzrodg55r4e8sP0VOfm7eXP//ORSOco06UownMIu6IeJ8uwcW07F+lSE0nFCEUonCZEgPDoPunbTXfYt5m49j0BY5OZzC/nBWQXctquR55vlnkWTrUb+UDSOMuvBX1yiGMLlrqC353N6etfR27sBUfQPKqPXp2K1lpKctIj4+PnodIknXAz4fPW0dyyjo/09XO7tMGCYXrXaQmLiWSTEL8Bmm4LJdGjH+pEY6dqs9QV5s72Xf7d2Uefv92Yab9JzboKNTIMWi0aNWa3CplGTZdCRYdAdtzHxjiWeYIQPq9p4c2szK3d3DIo0Tc2yc9GkdC6clEZy3FDhfFj3+v5heSr+C5G+a1JrhkmXy7lMaZPH4nS+0CjPzrHlVKxPRSgdJxShdJLw6R/go18jmpNZIjxERScsKEziH9+YwW27G/lXSzcCcJ1J4JezJh30pezx7GLv3sdp73gPUQwMWmY2jyct9RKs1jIslmJ0uvhjfGJHRzTqw+ncTEfHB7R3LCMUah+03GTKJzlpIUlJ52G1lh2WyDvUtSlJEmudXl5o6eKt9l78B0mS1goC4ww6so067Bo1STotWUYd2QYd2UY94ww6jCezoeQw9PpCLKts5Y2tzazZ0xXLbVIJMDsvgYsmp7O4LBW7SXYjP6J73d8L25bKNgOdO/vnZ8yQm+VKLwHtKTY48ShRnp1jy6lYn4pQOk4oQukkoLcB/jYLIn6eTb2DX9aXkRpn4I0fzuO+xnb+3dqNCvhrcRaFHU1D6lOSJDzenXS0L6Oj8308nh2xZVptPHb7TBz2Wdjt5VgsE054xOhIkSQRl2sL7R3v43RuxOWqQJLCseUGfTqO+LnYbTNJTDwTne7gycKHc226I1He7Oil0u2nNRTGGxHxiSJdoQj7AiFCo3gEpeq0ZBt1fQJKT7ZRR4ZeR4JOQ6ZBO6Y2BWNNuzvA29taeGNrM5sbemPztWqBBeOTuGhyOiliJ3OmH2EkSJJg72q5Wa7qjX4jS4MdpnwVpl0DycVHfR5fJJRn59hyKtanIpSOE4pQOgn491dhx1u0OWZQ3nITapWKF64r558BD/9p7UEFPFySzSUpjkH1KYoRmpuX0rDv74PyjQRBTWLi2WRn30CcddIXVhgdikjETWfnJ3R0vE9n1/IDmhVV2O0zSEpaSFLiQozGoT4+Y3VtRiWJlmCYen+QfYEQrkiU1mCYhkCIvf4Qe/3B2Dh7ByNVpyXXpCPPqCfXqCfPJH/mGPUnVTRqX7ePN7c188aWZna0umPz1QLMyU/koslpnFfaH2k6bDzt8thyG5+Wf0TsJ22K7Ms08XLQjz7J/IuK8uwcW07F+lSE0nFCEUonmF3L4IUrkAQN54d+S3U0nZ8tnsD2JA3/betBLcDDxdlcnCJ3l6+oqGDChCxaWl6msemf+P3yuFsqlY74+AUkJy0kMfGsY9q9/mQkGg3Q07OGXudGurtW4vZUDlpuNGRhd5STmHgm8Y55aDSW43ZtSpJETyQaE02ygAqy1x+iJRimIxzGFTm4kErXa8k16skwaEnX68gz6Skw6sk36bGdQCuD3W1u3tzazDvbW6lp77eR0KoF5o9P4sJJaZxbkjLioM0HRYxCzUeyL9Pu9/ujTFozTPyynACePnVsTuQkRHl2ji2nYn0qQuk4oQilE0jYDw+XQ+9eXtBczB2eKzhrQjL6mUm82t6LWoBHS3L4UrIdAJergortfyUUWhXLPdJqHeTm/oi01MvQaI7eNPBUwe9vpKPzAzo63qe3dwMDE8IFQYvDXk4oNIGJE6/GZMoeeUPHie5whHpfkFq/PNX7Q9T6gtT5gzgjBx8/LlGrId+k75sMFPR9zzbox8x4dDQsW72JmmAcb24dHGnSaVScWZTEhZPSObs4GZPuCISdtwu2/Rs2PA1du/vnp06C4i9B3ulyxElzhFGskxDl2Tm2nIr1qQil44QilE4gn9wHKx6gW53Ead4HiHc4KDo3m7edbjQCPF6awwVJdsLhXnbtvofW1ldjq1osE8jI+CqpKUsUgXQIIhE3TucmurpW0tn18RBbBJMpn8TEs0hMOAubbRoq1cljNrk/GlXXJ5pagmH2BULs8QXZ4wvSGgqPuK4KSOuLRBWaDRSZDRSaDRSaDCQciVg5BAPv9Zp2N29ubeHNbc3UdnhjZYxaNWcXJ3PhpDTmj0/CrD/M45Ak2LtKjjJVvQ7R/l6JaIyQOQOy5kD2HMicBXrLGJzZiUF5do4tp2J9KkLpOKEIpRNE1x54ZDZEQ9wQupGPhNlMXZjDSjGIVhB4ojSbxUl2OjreZ8fOXxAKdQAq9Pr5lJV9H1vctFM29+hYIkkSPl8dXV2fUL/3TSKR6kFmlxqNncSE00lIPJOE+NPRak9uXx9PJMoevyyaanyBmIDa4wviF0duzkvQaigyG5gaZ6LcZmaGzUz8UTbhDXevS5JEdYubt7Y18+a2ZvZ19+eR6TQqTi+Um+fOLk7BcriiydsF1a/LzXN7V4O/e/ByQQ1pk2ThtH+yJB3p6R13lGfn2HKs6jMQjvL6liaWrt9HQ7efdLuBSZk2JmXYmTTORlqckTe2NlGel0Bhytjm1ilC6TihCKUTgCTBPy+DPR+xUpzE10O3UTgzjW3xarSCwFNlOZwRF2XXrrtpa38LkKMeJcUP0NCgGdP6FEWRQCBAT08PoVCIaDQam0KhEB6PB1EUEQQBlUqFIAijmg4sq1KpsFqt2O12LJaTY0w1Od8rm+7uT+ns/JjOruVEIr2x5YKgxmabQVLi2SQmnnVUnk3HG1GSaA9FaAyEqPEF2OUNsssXYJc3QEMgNOw6ZRYj8x0WFjislNstmA4zgXw0dgvbGp28ubWZZVWtQ0TTGYVJXHCkokkUoXMXNKyRp71rwDnUUJWE8XK0KWuu/GnPPmldwZVn59gy1vXZ5Qnyz7UNPL+2nk7P8PfUQK6alcX9l47t/1MRSscJRSidAKpeh5e+TggNC4MP4BtXRMMECzqViqfKcpgU/Yydu35FONyNIKjJyrqO3JwfoVbrR12fgUCAzs5OPB4PXq8Xr9eL2+2mo6MDl8tFKBQiGAwSDo/cdHOs0Gg0xMfHk5aWRmpqamwyGo+vX86BdSmKEVyuLXR2fkRH58f4fDWDyhsMGcTFTcFqKcFozMRgHIfJmPWFS5z3RqPU+IJUefxsdPpY5/Sw2xccVEYnCMywmTndYWV+vIXJVtMhDTUP516XJIkdrW7eqWjh7W0t1Hb2N88dtWjaj7NRFkwNq+XPjuqhZazpfcJpDmTPhaTik2bQXuXZObaMVX3WtLt56rM6Xt7URKivE0a6zcA35uYwOy+BfT0+KhqdbG3sZXuTC08wQn6SmWvn53HVrKyj3v9AFKF0nFCE0nEm6EH620wEdzN/jlzKY8ar6ZmVgF6n5vEJ8aS3309HxzIALOYiiot/S1zcpNjqA+tTkiRcLhetra10d3fT09NDT08P3d3ddHV1HdZhWSwWjEYjarUatVqNSqVCp9NhsVhQqVRIknTQSRTFgy6PRqO4XC5cLhcj3a52u53U1NSYgEpLS8NqtR6z6NOhrk2fby+dXR/T2fkxvb2fD2qiG4hOl4TFXIjZUoTFXIjFUoTZXIBafXDn9JOJjlCYz3o8rOxxs7LbTVNwsIC2adTMs1uYH29lgcNCnlE/5P9ypPf6ftH09rYW3qk4RqIJwNcNDWv7o07Nm0E84H9qsMG42f1Rp/SpJyxBXHl2ji1HW59b9/Xy0Ie7+GRnR2zepEwb187PY3FZKtphIrCiKNHpDZJkGXq/jAWKUDpOKELpOPP+XbD6LzSISZwX/T29szLQ2XT8KbOVhOY7iER6EQQNOdnfJSfne6hU/Q/pQCDAqlWr0Ol0NDU10djYiMfjGXFXVqsVq9WK2WzGYrFgNptJTEzEbrej1+vR6/XodDr0ej1a7RF03z4CotEoTqeT9vZ2WltbaW1tpaWlBafTOWx5g8FAYmIiaWlppKenk56eTmJiIuoxMGc8nGszEvHgcm3F6dqCz1uLP7CPgL+RYKhthDUEjMZxmPuEk8VchNlSiMmYc1iDB58IJEmizh9iZY+bT3vcfNbjGdLzLkOvZb7DyunxVk5zWEjSacfkXj+UaJpfkMiislTOKU7BYT5KARPyQdOG/qjTvvUQ9g4uozHILuH7o07jZh03Dyfl2Tm2HGl9dnmC/OL1St6uaAHkltpzi1O4bkEeM7IdIwsgMSqL8/ZKWPUXmPN9KDj7aE5hCIpQOk4oQuk40l6N+OhpqKQI3wr9lPeLz0STZeaX5jfIdj0LgNVSSnHxb7FaSwDweDzs2LGDqqoq6urqhkRjBEEgOTmZhIQEHA4H8fHxOBwOkpOTsVi+OD1+/H5/TDTtF1AdHR3DRp+0Wi2pqalkZGTExFN8fDyqw2wyGYtrMxLx4PXW4PHuxOvZhce7E49nF+Hw8BE9QdBhNufJwikWfSrEYEg/KfK2hiMqSWxz+/m0x82Kbjfrnd4hTuQlZgPF0SAXj89hjt2CRXP0QvZgokmtEpidF8+i0lQWlqaSMszYc4dNNAKtW+Wo097VctTJd8D/UVDJlgT7e9ZlzT1mCeLKs3NsOZL6/Gx3Jze9tIUOdxCVAJdMzeQHZxWQm3hAT+OeetjygnzduFvk68bfCwy4T3JPh2+8cbSnMQhFKB0nFKF0nJAkQk8tRte4hmXRGVybdCfqiXHcovo9xdHPEQQdubk/IDvrO3i9Aaqrq6mqqmLv3r2DxILJZCI3N5eMjAwyMjJIS0tDpzt1vGMGEg6H6erqoqOjg+bmZpqbm2lpaSEUGpo4qdfrY1Gn/QLKbrcfVHwcy2szFOrE0yecZAG1C693F9Gob9jyarUFi3n8Ac13hSflWHy+qMjnTg8ruz182uOmwjN4oGW1AFOtJuY75GjTDJsZ/VHm/UiSxK42D+9tb+W9ylaqW1yDlk/MsDG3IIF5+YnMyHEcmVfT0J1C5+7+HKeG1YOdwveTUNCf45Q1Bxw5Y5Igrjw7x5bDqc9wVOQP7+/i8ZV7kCQoTLHw0JVTKUkf8I4URaj9GD5/UjYOZgQZYkqEkiUw94cQP7YdQhShdJxQhNLxQdzyb1SvXY9f0nGW5k80zy7kJ+p7KWU7cdZJZGX9gvr6UEwcDSQ9PZ2SkhKKi4tpbm7+n65PURTp6uqiqakpJp5aW1uJRIbmDxmNxljEab94GniNH+9rU5JEAoEmWTR5duLx7sLj2YnPV/uFzn/qDEVY1evmjT0NVApa6v2DhaxRJVBu689vKrUYUR2lkNjb5WVZZSvvbW9l04Cx50B2BZ+a5WBufgLzChKZnGlHpxmjBG1n0+Cede1VDHlBWtP67Qiy50By6REliCvPzrFltPW5t8vLj/69ha37egH4ankWd15QglHXFyX198rRo/VPQndt/4r5Z0HJxbJwNiXIk9EBag3dgW6sOivaMW52P6mE0iOPPMLvfvc7WlpaKC0t5aGHHmL+/Pkjll+xYgU333wzlZWVpKenc+utt3LDDTcMKvPyyy9z1113sWfPHvLz87n33nu55JJLDmu/kiRx991388QTT9DT00N5eTkPP/wwpaWloz43RSgdB/w9eP84FXO4hweiV/LIrK/zU/MDlAg1aDSXUbM7h4aGxkGrZGRkUFJSQklJCQ5Hf68qpT6HEo1G6ejoGCSe2traEIfxEbJYLDHxFA6HmTt3LmbziTXsFMUQPl/dAAG1G49nJ4HAvhHWODD/SRZSJzr/af+1uS8QiuU2fdrjpiM0WATGa9XMd1hZ4LAy32Ehy6g/qv22uQKsqulk9Z4uVtd00uwMDFpu1KqZmRvPvPwE5uYnUpIeh3qsHMv9PdCwrj/q1Ly5f6iV2AE45Bfo5KvkHKdRikTlXh9bRlOf71a0cOt/t+EORogzaHjwy5NYVJYmL+zaA6v/CtuWQrgvMqyPkwdtnnktJBYM2V6nv5OXdr7Es5XP8tOZP+XLhV8e03M6aYTS0qVLueaaa3jkkUeYN28ejz/+OH//+9+pqqoiK2toV7+6ujrKysq47rrruP7661m1ahXf+973ePHFF7nssssAWLNmDfPnz+c3v/kNl1xyCa+++iq/+MUv+OyzzygvLx/1fh944AHuvfdennnmGQoLC7nnnntYuXIlO3fuxGodXcKhIpSOPXufu47s2pfYLWZwfuGfuTH9z+QEXGyvmI7fb4uVy8zMjIkju90+7LaU+hwd4XCY9vZ2mpubYwJqpJwnm80WE0/7p+NtVTAckYgXr3c33r7I0/4I1KHyn8zmQizmIiyWQszmouOW/zSS4eQOb4DPejys6HGzuteD74ABgnONuphwmuew4DgK40tJktjb5WPVHlk4rdnTRbd3cITLZtQyOy+eufmJzCtIID9pDH29wn5o2jggQfxzCA3ocOHIhclfgUlXQHzeQTel3Otjy8HqMxQR+e27O/jHqjoAZmQ7+PNVU8mwG6GzBlb+DipeAqnv2k0ukcXRpCuHuL+HoiE+bviY1/a8xtrmtUQluSPEGZln8Nez/zqm53TSCKXy8nKmTZvGo48+GptXXFzMxRdfzP333z+k/G233cYbb7xBdXW/Z8cNN9zA1q1bWbNmDQBXXnklLpeLd999N1Zm0aJFOBwOXnzxxVHtV5Ik0tPTufHGG7ntttsACAaDpKSk8MADD3D99deP6vwUoXRs2bPlQ/JfkwXyFbZfc0bZ+2jqLTQ3FQEqsrKyYs1qNpvt4BtDqc+jIRQK0draGos61dbWjthrMD4+fpBwSktLQ68/usjHWLE//6lfQO3uy3/yDlteo7FisRRjtZRgscqfZnPBoB6VY8Fors2QKLLZ5evrUedho8tLdMDTWwAmW00scFhYEG9lRpwZw2EaXw5EFCV2trn7RFMna2u78QQHR7iSrXrm9kWb5uQnMC5+DJs1oxHY+xlsXSr7pw3sVTeuXBZNJReDaWgumnKvjy0j1Wdzr58fvLAp1oR7/YI8bjmvCG33blkgbX+5XyAVnAvzfgw5pw2JDO7s3smrNa/yVu1bOIP9vXgnJU7i66Vf59zsc1EJY+vRdVIIpVAohMlk4j//+c+gZrEf//jHbNmyhRUrVgxZZ8GCBUydOpU///nPsXmvvvoqV1xxBT6fD61WS1ZWFjfddBM33XRTrMyf/vQnHnroIfbu3Tuq/dbW1pKfn8+mTZuYOrV/BO0lS5Zgt9t59tlnhz2nYDBIMNhvLudyuRg3btyYC6W/PngdX/W+M2bb+6ISL8gv4qWqM2koMxHdlYYjlE2+Jo1cbRpm1Qi9dYb8wJVnBIMB9Ib+dQS1gKBTo9KrEXTqwd/1alRmDWqTFpVJi8qskT9NGoSjePmcKlRUVDB+/HhaWlpi4qmpqYne3t5hyyclJQ0ST6mpqcfNVuFQyPlPzYN633k9u/D6apGkoaaigqDFbC4YJJ4sluKjGrLlSF7s7kiUNb2yf9OKbvcQ48uxzm+KREUqmpxyM92eTjbU9xCMDI5wZcWbZOFUkMicvASSrGMkkENe2PE2bH0Rapf3v3xVGsg7QxZMEy6IiSZFKI0tw9Xn8p3t3LR0Cz2+MHEGDX+4YgrnJnTJAqnyVWL5Z4WL4fSfQsb0Qeu7Qi7erX2XV2peoaqrKjY/2ZTMkvwlfCn/S2THZeN65x0sp5+B2jK2zfyHI5SO2QiWnZ2dRKNRUlJSBs1PSUmhtbV12HVaW1uHLR+JROjs7CQtLW3EMvu3OZr97v8crsyBycADuf/++7n77ruHzK+srBzT7uQqxJhI+F9nJ5nsTSxk6sYpZEeTMbH/wSsRwX/QdQ9EDUScw/ecOhxELUh6FZJeQNILiEYVoklANKkQjSokkwrRKC87WYd4OFpcLhe7d8sj0cfFxREXF8eECRMIBoP09vbGDDx7enrw+/10dHTQ0dHB1q1bAdmaIS4uDofDEZtsNtth2xSMLcl902mYTGA0holGmwhH6ohEaolE6ohE6pAkLx5PNR5PNQx4lKlUyWg0uWg1eWg0uWg0uahUiaNqmnK5XFRUVBz2EacBVwJXmqBTr2JzWGJTGDaFJbpFieU9bpb3uAGIE2CqVmCaDqZpBVLVh39taoAFibAg0UxohokdHUG2tQXY2hpgV1eIhm4fDd0+/r1ezhHLsmmZnKpnUoqBshQDFt1R/H+FYpjyazRFndj3vY+9YRlG5x6o+RBqPkR688d4kqfjzDgLn3UKR1CdCiMw8PqMihIvVjh5absLCciP13LPFBclq74DTctj6zjT59M+4ZsEHEXQDXRXyOMXeqpZ3rWcdT3rCPf9EFELaqbbpnNGwhlMipuESlDhXr+Hqid/hmrrVsTFixH/71tjek4H89E7kGM+1PeBDwlJkg764Biu/IHzR7PNsSozkNtvv52bb7459vf+iFJpaemYRpRaGhbyeG0moVCor/u6xDBhkkEMWnqIGKEECAeUOej6B9v1MYhH7t+dz9OLvT6B1AaJ5shnNBONlbAkJDCuZCLjSibiSMtAiK3Vf0AHxkrramvJzcvrLxYVEUNRpKCIFIr2fY/K3wNRRF8Y0RtG9EXk7/4ISKAKA2ERDnWfaQTUcXrUcbq+qe+7TY/a3jdZdQhjlRx7HDmcX+xutzsWddofefL5fDidTpxOJ/X19QCo1WpSU1MHRZ6SkpJOsHiaNugvSZLk6JOnCre7CrenCo+nmkCgCVFsJxRqJxRaFyuv0diwWoqxWkvlJjxrCSZT3pDE8bGKgJw54Dh3+YKs7Hazsi+/yRUVWRGSWBECkMgx6lhwlPlN04Gv9n33BCOsr+uOJYdXtbhocIZpcIZ5c6cHlSBbEczpy2+akR3f3xvqcJl1JnC/bEFQ+RpUvYbQth1r2+dY2z4nQ1Aj5J0BpRfDhAuHbZ5TGD37r88Od5Abl25mVY1sMXHLxADfVb2AevVb/YWLvwQLfootbRL7EyJava28uedNXq15lX3u/o4WBfYCLim4hAvzLyTeIP+PpEiE7mefo+Ovf0UKBBB0OlJKikkc4wihy+U6dKE+jplQ2u8AfGD0qL29fUgkZz+pqanDltdoNCQkJBy0zP5tjma/qampgBxZSktLG9WxATFH5mPNwguuBJTwsT8Y4ZF7ZzFhzQQaMy8mKHQQDe1GEvfS2dxIffNW+BBsySmML59H4ex5pOYXjih2Iz4thnz7ER+PJEqI/shgAeUJE3UFibpC8uSUv4veMEQkot0Bot2BkTeqQhZQfcJJM1BE2fRo7HoEo+akNVQcDVarlaKiIoqKigD5Je50OgeJp+bmZgKBAE1NTTQ1NcXWHSuDzLFCEASMxgyMxgySks6NzQ+HnXg81YPEk9dbQyTipKd3LT29awdsQ4fFMh6LpQSrtQSrpQRRjA63u6M6ziKzgSKzgevGJREWJTa7vKwYkN9U7w9R7+/iueYuBGCK1cTZCXGcnRDHZOvhN9NZ9BrOnJDMmROSAej2hlhbKzfTra7porbTy9ZGJ1sbnTy2Yg86tYqpWXbm5icytyDhyKwIEsfLzTqn/3SIaGLPR/L05o2Qd7rcPFd8kSKajpDP67r5wQubaHcHKdB183z6K6Tt/rhvqSCL0gW3QkoJ4WiYLa3r+azpM1Y1rWJnz87YdsxaM4tyFnHp+EuZmDhx0LMtUFVFy513EaiSm+JMs2aRevev0Oee2EG1j3ky9/Tp03nkkUdi80pKSliyZMmIydxvvvkmVVX97ZXf/e532bJly6BkbrfbzTvv9OfwLF68GLvdPiiZ+2D73Z/MfdNNN3HrrbcCck5VcnKyksx9kvHK+5+wccN1nPOmna6UL9OWOgtJCmEwNRMX30jLrq1EQv25GdbEJArL51E4+zTSCgoRBrxQj2d9ShGxTzz1iSjnwO/BvikE4qFvP0GnRm3XobYb0Nj1qCz786bknCmVcX8ulQbBoDkuEaqxrktJkujp6RlkU3Aog8z9xqGZmZnH5P47WkQxiNdbg9tdjdtTicddjdtTTTQ6fCjSaMySxdP+CJS1GL0u5ZiI5IH5TSu7PezyDRbzCVoNZyVYOTs+jjPirdiPojfdflqcftbs6WJVjSyeWg6wIjDp1MzMiWdegZwcXpx25FYEO1e/TVGkCipfh7YBbXCCGnIX9EWaLgJzwlGc0f8GkiRx99LVPL/NSVQU+bF9FT+OPosq7JXd1ssug/m30GyKiwmjda3r8A5IvhcQmJo8lUvGX8LC7IWYtIOT/qNuN52PPUb3M89CNIoqLo6UW3+K9tyLWPPqHmYszsGeMrb+ZydFMjf0d9N/7LHHmDNnDk888QRPPvkklZWVZGdnc/vtt9PU1MRzzz0H9NsDXH/99Vx33XWsWbOGG264YZA9wOrVq1mwYAH33nsvS5Ys4fXXX+fOO+8c1h5gpP2CbA9w//338/TTTzN+/Hjuu+8+li9frtgDnGQEI1Ge+u21fGpcyw0vgUpTxs7irxHUWOUfMaclkZzVQ+3GNdRuWk842P/wtSQkyqKpfB7phRPYXll5UtWnJEqI7hARZ5Bob/8U6e0TUr0BRO/wZoojItAnnrSoLFq5qc+qQ2XRobZq5U+LFpVVh9qsRThCM8HjcW0ejkFmXFwcmZmZMeF0srquy4njjQeIpyqCweHzNrXaeKyW4r6kcVk8mYy5qFRj2xjQEgzxSbebj7pcrOh24xlgQ6ACZtjMnB0fx9kJVkotxqMWb5IkUd/lk6NNB7EimJZlx27SYdarMes0mPXyNM5hpDw3AZtp+A4Bg67Prj1ycnHVa9B6oGia3x9pMice1Tmdijh9YX7yn618WN1GOp08nfAcRd4NAATHlbNxzrV85q1nVdMqap21g9aNN8QzN30u8zLmMTd9bqxpbT+SJBHYtg3n66/jfOttxL6mMOviRaTecQfNHSref6qSoDdC5gQHS26cylhy0gglkI0fH3zwQVpaWigrK+NPf/oTCxYsAOCb3/wm9fX1LF++PFZ+xYoV3HTTTTHDydtuu22I4eR///tf7rzzzljvtXvvvZdLL7101PuFfsPJxx9/fJDhZFlZ2ajPTRFKx4f/rNlF/McX8IBFxx0visR7jNROuoamuMkAxCUaOOuaYpJzTdRv2ciutauo3fQ5IX9/srfFEU/cuBzK5p5G5oRS7Kkn7/hgAxFD0T7RFOz/9ITl5r/9uVN9n1JoqEnkoVCZNLKgsugGNfmprX25VHE6VGbtkCjVibo2DzTIbGxspL29fdhx/FJSUmLCKSMjg8TExBOc7zQyW7euYtw45Ga7PvEku44PbZJTqfSy11OfeLJaizGbi9BoxqZXUEgUWe/08lGXm4+7XezwDo78pOg0nJ0Qx1nxcSyItxI3BmPTDbQiWF3Tybq6oVYEByIIUJIWx+y8BObkJTArL544gyycRrw+u/bIgqnyNWjdNmBjimg6kIpGJ9/910Yae3xcrVnO3foX0Ea9dOuMPFl6Fq96awdFjVSCislJk5mXPo/TMk6jOKF42C794aYmnG++ifO11wn15ScC6PLzSb7lJ1jPPJOaje188I9KxKhE4jgLZ35tAsnZY/uOPamE0qmMIpSOD+GoyB0P/oHpuod4TOfgly9ESe0B5/jT2FF8DV6X/EAtW5DBnEvz0Rk0REIh6rdtZvfaz6jZsI6Qf3BvN7PdQVbZZMaXz2VcySQMX6BBcEdCiogDxFOYqCcsiytPGNEdkj89IaLuMKI3BKPVVSqhTzjpYgKq3dfNuLJc1A4DalufmDpBwjMYDNLS0kJjY2NsGq5Hi06nIz09PSacMjIyTpomu+Hu9Wg0gNe7C3df7pPHU4XHs2OEMe8ETKZcrNYyrNZS4vo+NZrRRccPRmMgxMddLj7qdrGy24N/gGu7RoBZNktfbpOVIpNhTK6D/VYEVS0ufMEonmAEbzCCNyR/r2p2sqdjsPeVSoDSdBuz8+JJUbn58ulTsZsOElU8mGjKOU1univ+0v+caJIkiX+ua+A3b1YRH+3gz6Z/UC5uJgy8kFXK4/oo7oh8DSYbk5mXMY95GfOYnTYbm354P7uo04n7o49xvv46vnX9nR0EoxHruedgW7IE8+zZCGo1VauaWf7PHUgS5E9L5syv5aM3jb2JrSKUjhOKUDp+vLRhH3Gvf4OPU+tZJ5r49b8huSsKmdk0X3EvOzbJJmXWeANnfm0C40r6w7yRcJjGym1sWvkJoa4OWmt2Ej2g+SYhM4uMCSVkFJWQNXEKFsepnfAZS0zfL5zcIbnJrzfQn5juCiJ6wqPr2ahRoRkYkTogMV0TbzjiZr7DRZIkXC4XTU1NNDY2xqJP4fBQT6S4uLiYaNqfMH4izDFHe69Lkojfv3eQeHK7qwmF2octbzTmxIRTXNykoxZPQVFkba+Xj7pcfNztouYA76YMvTaWEH6a3YJ5DKJNI9HuDrC2tps1e7pYW9tFXedQ09CiFCuzcuOZlRtPeW48yXEjeK917ZFNLateg5at/fMFlSyaSi6WRZMl6Zicy8mCNxjh9lcqeGNrE5erV/Br3b8wSF6Wm638MSOH+rD8nJ1iKuSH6nMZLyUheb2IfVPU60X09P8tejxEPW7CDfsGdUM2lZdjW7IE68KFg/yRNn/QwOqXawAoOS2dnDIf7z/xFxZe9wNyp84Y03NVhNJxQhFKx49IVOTq3/+HR/w/5FsZ8TiDGn77kg5Hux9NWhqaux/hs/e7cXXKzQQl89KY++Xx6I39uRz76zMSCtFSs5M9G9ZSu2k9PS3Ng3cmCKSNLyKzuIz08RNIL5yAyWY/jmd78iBFRaJuuWefuD8R3R2iq64Ns2iQ86jcQwXIEFQC2hQTuiwrhqJ49AV2VEfaNfwIiEajdHZ2xoRTU1PTiE12SUlJZGRkkJ2dTWZm5nHpZXe093ow1InbvR23u1L+dG0nEGwetqzJlEecdRLWuDJscZOxWicdcc5TvT/IR10uPupysbrXQ2BA5wSdIDDHbuHsBCtnJ8SRZ9Qf06hjqzPA2tou1tV18+mOZhpdQ5vuchJMfcIpgfLceDIdw+RbddfKoqnyNWjZ0j//FBdNu9vcfPdfm3C3N/CA7u+codrCHq2G36XnsEol54/lhWzcuruIhGUbkYLBQ2xxMLqCfGwXXojtoovQZmQMWiZJEp+/WceGd+oBmLowC7N1Fx/+Xe6QNa5kIlf8cmgHsKNBEUrHCUUoHV9e3thIzSu/4RLTy1ydkYrRCw+9HIepuQdNairpT/6DjZvCVHwiD5Jrtus546tF5EyUQ+cj1ae3t4fmXdU07aymsWo7bbW7h5Sxp6aRO3UG+dPLSSsoRGc8eUagPxEMrEspIhJ1DkhCdx6QmN4bRAoekGujEdDn2tDn29Hn2dBlWBGOwADxaNjfZLdfODU2Ng7rraLX64eMZ2e328f0pX8s7vVQqDsmnFzu7bhd24YVT1ptPImJZ5GUtJB4xzzU6hGiLofAFxVZ3evh4y4XH3a5aAgMTs7OMer6EsLjmGO3YDyGDvcVFRWk5Rayvq6bz+u7+byum6oW1xBvtTSbYVDEacjYdd11/ZGm5s398wUVZM/rb56zJB+zczkevLq5kTteqeAC8RN+qX0eURXgkfh4llrNRJFI61Xxk515ZH26B/ois9qsLHS5OajNZlRmMyqzpe+zb7LIn2qzGW12NtrkoXUUCUdp2N7NtuX7aNrZC8Dsi/NIynTx8n13IUajTDp7EWd841q0+iO7LkdCEUrHCUUoHV8iUZHFf/yIR90/oiLOyS+SEnB4BR55PQn13mY0yclkP/csnWE7Hz9XjbNDTuYump3KaZePZ3ftjlHVp6uznb0VW2jZtYPmXTvoamwYtFwQVCSOyyJt/ATSCieQN3XG/1zE6XCuTUmSiDqDhBs9BGp6CezoJto7+NeooFOjy4lDn2c7YcIJZHPMpqYm9u3bx969e0fsZWcymUhMTIy5isfFxWG1WmOfRuPh9Qw7Xvd6KNTZJ5oqcLkr6O3dQCTSP7aWWm0iPn4BSUnnkphwJlrtocdQHA5JktgzINq0ptdLeMCrxqgSmGu3xqJN2caxbe4crj6d/jCb9vawrq6bz+u62NboJHKAPUe8WcesnPiYeBpkUXAo0VSyRBZN1pG9+E42AuEod79ZxUefb+V+7d85Xb2Z/1gtPJyQgFOQyOiUuGFrMoUb2hD6ctOkmafTO+9qfIZEjBYt8ekWEjLMONLMaEcRJY5GRPZVd1OzoZ3arR2EA/KPKLVWxfwrxpNRqOZfP7+ZgNvFhHmnc86S76AbFzfmtieKUDpOKELp+PPq5kZe+s8LvKi7lzsTE3jdaiYnYucPr1iJ7qlDk5RE1rPPosrM4vM3atn60T4kCUxxOjKm6zj70hmotYf3Szbg9dBYXcnudavYV1WBu7Nj0HJBUJGSX0BaQRGpBYWkFRR+YXrVHSlHc21KkkSk3Udgdy/BWifBOieSf7AYEXRq9Ln7hZMdbYblhDiYR6NR2tvbB7mKt7e3I4oHz4TXaDRYrdZB08AhW+Li4gaJqRN1r4tihF7nejo63qej4wOCwZbYMkHQ4LCXk5S0kMSkczDoU494P95IlE97PHzcLQunpuDg5trxJj1nJcRxdnwc5XYz+gFNnZIkUe0N8HZHL8s6XTQHQ2gFgXyTgQnm/qnIbMDW5/c0mvr0h6JsbtgvnLrZ1DB07DqrXsP0HEcs4jQxo88Us6e+v3muedOANYS+5rmTXzTt7fLyvX9upKjtbX6pfY4qY5QHEuLZo9OS2yJxzQYjZdvlThGioMZ92hW0ZJ1Oc9MI5qgC2BKNJGRYiE83E59uJiHDgj3ZiCRCc00vuze0Ubu5g6Cv/363OPQUTE+m7PRMjBaJF+/6KZ379pKaW8ji+d/D92kLcedmE3d21pievyKUjhOKUDr+REWJc/+0gh/3PsBCzRquzsqhRhXldPMUbnrOSWjXbtRJiWQ/8wz6/Hxaa518/Fw1Pa1yLw2TTcekMzMpnZ+BwXxkg7J6urtoqdlJy+6d7K3YQnvdniFlTDY7BTNmM65sEmkFhcQlHRvjwBPFWF6bkigRbvXKoqlvkgKDhZPKrEU/Xm6m0+fa0CQevZfPkRIOh2lvb6e7u5uenh56e3txuVy43W7cbjc+3+jGE9RqtbFx8kRRJCsrC5vNFptns9kwGse+t89ISJKE271dFk2dH+D1Dm6CjoubTFLiuSQlLcRszj+q/ezwBuRoU7eLz51eogPeQia1igUOC+U2C22hMO91Oqn3DzUeHY50vZYCkx6b30v5uHTyjXryTXoyDbpDOo2HIiIVTb2sq+tmfV03G+p7cB9gUWDQqpg6rl84Tc1yYPQ29keamjYOKC0MaJ67CKxHLjTHmmWVrfz2P8u5I/o4Rfpt/C7eznKziQn7JK5Yo6JsjyxkPeZ0usqvpEGdRzjcL14zi+2kj3fgd4fpbvbQ1eQl4Bk+V1GlEZCi0qBmT1OcjvzpyYyfkUJqrhwtkkSR1/9wL3s2rMPsiOfShT8j9HkXAJa56dguyhvTe14RSscJRSidGF7f0sQ9//6ETwy30K4Nc1VWNj4xzPdzrmHhH1cT3LkTdWIi2c88jb6ggEg4SsXyJjYsqyXkkX8xavVqyk7PYMb5OegMR2fe5+pop2lXNa27d9KyZxftdXuIHtDDymiNIzV/PBnFZYyfNRdH2hc74nQsr80hwmlP75AcJ5VVK+c45cniSZN04oTTgUQiEdxu9yDx5HK5cLlcMWE1WjFlMpmw2+3YbLZhJ7PZfMzO2+ero6PjAzo63sfp2sLA7o8mUx5JSQtJSlpInHUiwjB+OaPFFYmystvNR33RpvbQ0KZOg0rgjHgrixPtTLIa8Ysiu71Bdnj97PQG2OkNDIlSHbh+rlFPnklPgclAvklPQZ+Iso3gOh4VJapbXHzeF3H6vL57iCmmVi0wMcMWSw6f4fBg3fO2HGlq2jCgpACZM6FoMUy4ABILT8iA2eGoyIPvVtOx+p/8VPccSx0ano+zUFoHl62WmNAoEVEbaEudSfuERfRE7bF1DeYwCemdRAI1NO3cRjQUJq1wApPOPo/COacRDgh0NXvobvLKn81eupq9RPruXYNFS/7UJApmpJA+3o7qgAjxZ/9+nnWvLkWt1XLFd3+D+FYPSOD4ciHmGWMfmVOE0nFCEUonhqgoseihlczv+g+/0D7PO44kbrPLv7wfm/k70n7+BMHqatTx8WQ98zSGwkIAtm7Zhj6QxJYPGuhqkrsSW+L1TFuYTVF5Kjrj2LgdRyNhGqsqqdmwlpbdO+nYW4cYHfzwN9nspOQVkJI3XhZQE0owmL84Xk7HdTiYqEiw3hUTTqF9LogMfmypLH3CKdeGvsB+Ugmn4QiHwzHx5HK52LVrFyaTCafTGZs3GjGlVqtjoik+Pp6EhATsdntMXJlMpjGph2CwnY7OD+ns+IDunjVIUr8o0etTSUw8h6Skc3HYy4cM+Hs4iJJEpcfPR10uKj0BLBoVZ8XHcVa89ZBWA65IlF3eADW+AGv3NuIyx1HjC1LvDxI6yGsuQauhwCSLpnyTIfY926BHO+BlLkkSezo8saa6dbXdtLoGm3HuN8GclRvPgiQ/s/yfYq556wDRBMTn94umceWgOvY9QFucfu56/iO+3PYHvLad/NVhI3+PiktWi+S1CvTaC2hJn0d78jRE1HKPUKmduPg2fO4deLuaho403ofebKZk/llMOvs8ErNyYvMlUcLdE0CtUWGK0w17Lfo9bja+9RrrXl0KwOIbbiZ+UxyRDj/6KQlsT2lj9uzZYx5dVYTScUIRSieOt7Y18+MXNvCO4U6K2Ms9RbNZGmrGrrezdMFTBH7wM4JV1agdDlksFRXF6lOSJOq3dfLpS7txd8kPOq1eTVF5KmWnZ5CQMbaCJRIO07G3lpbdu6jbvJ6G7VsRowdESNQaxpVOJG18ESm5BaTkF2BxJJy0L/sTeW1KYZHQPjfB2l6CdU5CDW6k8ODcEnW8AUO+HV2eDX1uHBr72PaYGWuGq89gMEh3d3esac/pdA6a3G73Iber1Wpjomngp91uJyUl5YiGeYlE3HR2Laej4326ulYQjfb7F2k0cSQmnCn3oIufP2Zu4YfLwPqMShKNgRA1viB7fIG+T3lqDY0chVILkG3YL6D6I1H5Rj1JOvlHVWOPP5Yc/nldN/VdQ8VtfpKZczKjLFRvZoLzU0zNqxGiAyJTxngoXAQTzof8s0A39nX26a523nnxYc7TPcNjDgPxNRouWSOS6HHQklpOS9pcAoYEJDGAGNmLRrOPSKiOsH/wNZaWU0RR4VzSEvLRWA3Ud1aw9dN3cXX0+3jJUaZFFM05bcSeau6uTmrWr6Fm/Rr2VW1H6sv5m33plZTGnYZnRSMhi8QnKbvY19RIYWEhV111ldL09kVEEUonDlGUWPznTzG3b+QV/a8ICnDNxPlUu/cyOWkyf5/zZ1quvZ5AZSVqu52sp//B7khkUH2Gg1GqVzezfUVTLIcJILssgdOuGI89+dhYAERCITr21tG6ZxdttTU079pBT0vTkHJmu4OcydNIzS/EEp+AzmhCZzQiRiMEvB4CHnmKhILojCbESJig30fI75edyCXQmUyIkQjhUJBIMEg4GESt1aI3mohGI0TDYcRIhGg0is5oRGcwIIoiYjQqP7wkCYM1Dq1e3/cLU0ICurq6yC4Yj0arA0GQH2ACaPUGzHYHWr0BjVaLWqdDo9Wh0enQm82ojsEvZykiEmp09zfV1TkZlPQCqO36WH6TPteGOmFsHKTHiiO51/c38e0XTl1dXXR1ddHb24vT6RzWnXwggiCQmppKYWEhpaWlJA/TfftQiGKQ7u7VdHR+QEfHh4TDXbFlKpWe+PjTSEo8l8TEs9Dpjt8AtKOtT28kyh6/LJpqfIGYgNrjD+KLjpywb1WrBkWf9jfpWcISFft6Y811O1qHitlkfZir4ndzrnojhc7V6ML9vQ5R6yHvDDnaVLT4qPOaoqLE399dS9yGO9hi30uozshF61SoNJNoSZtDl70ISexCDNchReuJhpvZ38SqEXQkWjLJzZ6CRZNMoiYJsTs0yIBWMGiwLcqmU9/Mto/fZ8/GdbEfgXqTmeL5ZzDxrPNIzsmjq3EfNevXsPvzNUMsWBKzcph18eXkjZtKx6NbQYI1RY1U7t2JXq/nsssuo7CvZWCsUITScUIRSieWdyta+O6/NvEn/RNcIixnX1opV1ol3GEP3yj5BjcVfYeGb19LoKICtc1G8LZbmXjAmIAgh9SbdvWyfXkjtVs7kUQJlUoge2ICxfPSyS6NR3UMPV8Aupr20bB9K221NbTV1tDV2BD7lXWqYLBYyZk8jeL5Z5AzaRoq9bFpbhCDkT7B5CJY5yTc5B4yXIvKqov1qjMUxqOJP7ERp2Nxr+9v3uvt7Y2Jp/3fu7q68HoHO1knJydTVlZGaWkpCQmHL2okKYrTuTnWg84fGGirocJunyHnNSWei9GYeUTn5PPV0d6+jEjUjU6XiE6bIH/q5E+t1oEgqI66PiVJojUU7hNQ/ZGoWl+QfYHQQUf/ydBrY9GnNJWaSFeA9jYvtS1uKpqc+EL90WQ1UWaqdvIlwxbOVW0kKdIyeGNpk2H8QnnKmH5YTXRd7gDPPv0HCD5Nd62O07dn4LPNoSV5IiFkcRQN14PkRa8y4dCnYNclk2LPJd6QhjakY7ifEmq7Hm26hUinj0i7bMGiy47DcUkBQX2QyuUfUvHJ+zjb+gd61uoNgwYsRxBILyxm/MzZ5M+cjSM1HSks0vbXTUTa/bgnqFla/z4A//d//0dW1tj2eANFKB03FKF0YhFFiQv++hltLY2sMt+KMerio3nXc2PzuwD8+cw/c7pjJg3XXktg6zYklYqkG64n8YYbEEZocuht8/Hp0l00VHXH5pnidBSVpzLprEwsjuPzQg0HA3JT3ZYN9LQ04e3tkSNFAT9qtRqDxYrebMFgsaLRagn5/bFIkdZoRG80IUkSIb8Pzf6ojl6PRqcnGg4R8vtRaTRotFpUGg1qtYagz0s4GEClUiOo1bKQkST8bld/crogIAjQ3taGUaMhGokgSXLkSd6fH5+zl0goRCQcIhoOEQmFh+Rome0OJsw7nbxpM0kvKkGjPfK8lkMhBqOE9sqiKVjnJLTPPSTipEkyos+1ocs9MU11x/telyQJp9NJfX09VVVV1NTUDLI8SEtLi4kmu91+RNv3enfR3vE+nR0f4PZUDlpusZT0JYOfi8VcdMjoniiGqKv/G3v3PjbsQMH7EQQ1arUVUdRjNieiUVvRaOPQaPZPVjQaK9pBfw9cbkYQDi5GAlGR+kB/812NL0Bt3/eeyMjHphEgXaclKQh6d5hQT5DuTh+tnT5kOyeJ8UIT56o2sFC9kSmqwb1pRYMD1fhzZNGUfzaYRxazm6p28Mmr3yZaF2BC4ww64ovx6AJEw3WY8OLQJWPXp+DQpeDQp2BU96cbSEj4CeEXQgQtIkGbQKfkBJsWj+jH6ZFz6JKSkpiZWErSZpBCUVAJWOdnYD07C0Ej0LB9G9s+eo+a9WsQo1HUGg1ZZZMpmDWH/OnlmO2OQcfsfLcO94pGBIuGZanVNDQ2MHlKBpkZ7zBhwn1YrcUH/b8cLopQOk4oQunEs6yyleuf38g3dR/zK9XfQR/Hgwu+zfM1L2PVWll60VLSBQetv/gFrndkAaWfMIH0396PYcKEEbfb1eShek0Lu9a14u8bokOjUzHlnCwmzEnFlqQ4cx/OtRmNRGit2cWutZ9R/dly/O5+B2yt3sC4sknkTp7O+PK5Qx6gY40Ujso5TnUuAjW9hPY6h0Sc1HZ9n3CKQ59z7HvVneh73e/3U11dTWVlJbW1tYOGdsnMzKS0tJTS0tIjfs75/Y19zXMf0Nu7noEVbjRkkZQk2w7YbFOHCBWXezvVVbfi8e4EwOGYi9mcTyjUTSjUSSjURSjUSSTSe0THdiBqtUUWUtq4AULLOkhUaTVxqGOCyxoTXU7JSJ1fpMYfjImnGl+Aen9okOHmICIigjuMxhnC4I4g9YaI+CIk4mSBaitnqrewQLUNm9CfHiAh4EqYjLroPCxliyF1MqhUSJLEc0/dgW9lNUZfEaLFgk0dwa6zYdUlodfbCKsF/EIQnxDCJ4TwE8QvhPBrw/iFED4xOGRon4Nx5rwzKGlJItj341Lt0GO/uABjkTxeZsDrwdvTgyU+Ab1p+Oemv7qLrueqQIKus/W8uuodrFYPM2Z+QiTSi802jenTXlJylL6IKELpxCNJEhf+9TOqm3v5LOE+0r1VhMu+zDdNAbZ1bKMkoYTnFz+PTq1j+xNPoPvH00R7e0GrJemHPyThumsPevNFIyJ7t3ex5YMGWvb05xKk5MZROCuFgukpmOIOPyH2i87RXJvRSJjazRuo+XwN9Vs34XP2xpYJKhVZZZPJmTyNnElTSRiXfcxziURfWO5VV+ckWO8avqnOrEWfG4cu14Yh344m2TSmBpgn073u9XqpqqqisrKS+vr6Qcuys7MpLS2lpKQEi+XIOj2EQt10dn5MR+cHdHd/iij2u7RrtQkkJZ4t2w7ETaKx8Xnq9z6KJEXQauMpKrqblOTzh92uKIYJh7sJR1zs2rmFrOwkImEXkYibSKT/Mxxx9f3t6fuUp4HHcTSoVMYBQkoWWoLKQi8O2qR42kQbraKV1qiFloiRloiBtogWcWBDVzCKyhVGcIVRuUNonAGmB3dwpnoLZ6q2UqLaO2ifXYKNjdpSqjXZOPUpJGhCxIkBBEIECRMiSlTov6hjL31p5GtYrzdgMBoxGnSIYoikJAdGoxaDUYtWI7C3Qc/6z+Uk7ilTpnBO/lzcb9UTdcr1aJyYiP2iPNRxQ13XJVEi3OQhsLMb/84ewo1ukEA/NYEX2z6ku7ub+fM3g7Adq6WUyZOfRK8fW4sARSgdJxShdHLwYVUb1z63gZm6el5S/RwBiZYrn+Xyrb/HGXRyZdGV3Dn7TioqKihOS6PlV7/C8+FHANi/ciWpd92FcIh8GUmS2LOpg6pVzTRWd8d6yapUAqXz05lxQe7/lGAaq2tTEkU6Guqp27KRPX12CgOxOOLJnjyN4tPOIKt0EsIxHpwW+prqGvY31bmGtSMQtCpUZi0qixaVSSsPt9KX0C4IcpKryqSVxZSKvk9BXseokf9WCwhqFYJGoKa5ngmTSxB0KgSt+oS4kA+Hy+WKiaZ9+/bF5guCQG5uLqWlpRQXF2MaIVJwKCIRL93dn9LR8QGdXR8TiQwdaw8gKWkRE4ruRqdLHNV2j+T6FMVgn5hy94mpPoEVdhGJuoeIrvAAkRWJeIhGD548fzCiqHBipxdHbOo58O+wHbfbjOSOkt7bwpmuDZwV2cRpqgosQn/+T0RSsYFCPtZOZ0XcdPY5UnDYXCSZu3EIPdgZPDnowYR32HykQ6HVnMsnn6QiSbKIvuKSywl/1o5nVRNIIOjV2BblYC5PQwpECOzuJbCzm8DOHkTv4B6H5pmp7EjrZNn7y0hM9FNc8l9ARc7UZeQ78o64bkdCEUrHCUUonRxIksSSh1exrdHJy1kvM739ZUgs4tOLHuB7y38EwIMLHiTTkxmzB+j9979p/fVv5F5dpaWk/uIujJMnj2p/XmeQmo3t7Pq8jfZ6+cEuCJBe6KBgejJ5U5JOedF0rK7N7uYm6javp37rJhqrthMJ93ejNlrjyCqbTPakqWRPmkJc4vEZiDTWq67ORbC2l1C9a4gdwVgjaFWyaNKpEXRqVHo1gn7wd/lT0/+3Yf+nRhZq+78f5pA9I9Hb20tVVRXbt2+nubl/cF2VSkVeXh5lZWVMmDABg+HI8rtEMUxv7+exvKZgqA2DPp2CgttITr7gpBw7byDRaJhw2EUw2EMo5CQY7CUU6iUcdhEOuwiFvIQjPiJhH5GIn2g0IE9iAEkMEo1GiEQjRCMRxAGvZWF//EcAEQGvYMKlisOpstEtOmjzJZLa3csUdw3zgtspYPDAx81SPMujU/hYmspn5sl4bDYkqxYxTotk1YJKQEcYh+DFofIQL3hwCG75U+XBLgTQhFykWPTYVFGsahGN6KOz6xNAwmK5hI8+dBAKhYmPj+erX/0q1oCenld3E26UxaNgUMumsQN7zOnVGArsGCbEYyh0ENKJ/OUvf8Hv93PmWbuIRNax0/YDHvCcxW8LM7kqbWx7TSpC6TihCKWTh092tPOtZ9aTrPWx1vIzVP5OOOdu/mJS8WTFk5g0Ju4uvJtFMxfF1nG99x4td96F2NeN2vbly0i++WY08fGj3m/jzh7WvraHtrr+X8KCABlFDmZdlEda/pENKnqyczyuzUgoROOOSmo+X82O1SsJHtBLKyEzi+LTzqBg5hziMzKPW3d/KSoS7Q0S9YYRPWFEXxhE+uwTAElC9EcQfRE5yV2UQJSQohKiN4wYiPb9LUJUkn2hnH5UI1v6HB1qQRZRA8WTQYPKqEGfE4dhQjxq6+EJ++7ubiorK9m+fTttbW39u1KrKSgooKysjMLCQvT6IxvsVpJEolEvGo11yLJgMIjH40Hos6UYOIE8Pl91dTV5eXlE+qwvIpHIQb+PVbmxfJ1qUGMSdRjRYZL0GKW+T3QI4RDhkItA0EsgKOIPNOMZ18bX7vg7plAnnVveQtz1Psmd69BJ/U2KQUnD5+IElotT+EScQi1piBYdolWLFDdAPGkOLq6NKhVnWZx8yfkDLHhITr6ODz/Q43Q6MRgMXHnlleRk5+Bd24JzWX3MWV+TbMIwwYGhKB59dhzCgP0sW7aMNWvWkJGhIi//WbYxhQeFu5CAi5LsPFE6ts3wilA6TihC6eRBkiQueWQ1W/b18pcJVXyp/h7Qmoh8dw3XfX43G9o24NA6eHLRkxTFF8XWi3R20v77P+B87TUAVDYbqXfcjm3JksPav7PDz55N7ezZ1E773n7vlJTcOHInJ5I7OQlH6ti4JJ8MHO9rMxqJ0FKzk73btrC3YjOtNbsG2SdYHPFkTZxC9sQp5EyehslmP27HNhZUVFRQVlqGFBGRQlGkkPwphqLy38EoYkhECkaQgiJiMCLPC0b7PwORvs8oYiAi90QazdNdBYbxDkzTUjCWxCNoD8+2oaOjIyaaOjs7Y/M1Gg2FhYWUlZUxfvx4tEfZs1EURVauXMmqVasIh4+Vqhw7VCoVarUajUaDRqNBr9dj0BvQCRp0kgZtRIU2pELjA41PwhDVYpJ0GNFjknRo0SBKUZyhTnpD7fSE2ugNdeKMapHUaSS6fPg0W/CNryFp9q/5ykWXDn2+hP1Qvwpx9zKiO5ahdQ3ObdorJvOJOIXl4hTWiCUEkQWzzabH4jCgtukQrRpcGpGgSYcrKg66pAp0fu4I/h96QmRn/YxPPoGmpiZUKhUXXXQRU6dORQxFibT7UJm1aEboNdzW1sbjjz+OKIqct6gJn+9j7tM+TGUklctSHPylOAv1GD87FaF0nFCE0snFil0dfOMfn6PXCFRk/xld01oovojOLz3EtcuuZY9zDxathT+f+Wdmpc0atK5v0yZaf3MPwepqABK+ewNJ3/8+gubwhzVxdvjZ9F491atbBjn+21NMjJ+ZwuSzx6Efo+FSThSjuTbDoSh+dyg2WKYtyYjeNDY2AAGvh5rP17Bj9Uoaq7cPGltPUKnImTyNvKkzyZo4GUdaxkkvUI/FvS6Jkiy2Av0iSgxEYkIq6gwS2NUTax4BuTnENCkJ07RkdNlxh5UrJUkS7e3tbN++ne3bt9PT0xNbptPpKCoqoqysjPz8fDSHeV9JksTbb7/Nhg3yUCBarRZBEJD6bCkGTmq1GkEQ0Ol0MZGi0WgGiZbRfD+SddSoEDxRJHcYyRUm0hOUo489AcIdfkT3yIP7ikIUZ6SLTu8+eoLt9IbacIY6EVVm1NpcVJocbH5IbV9PTcJGuif1EieUM+eK3zNrfPpoKhG6amD3B7D7faS9qwY5hIcEHesp473QJD4Rp9AoDW7aNunU5CWZyU40Y7UbeEMVpFsncL65las930cAiop+x5rVUSorZTuI0047jbPOOgvVMLmF4XCYffv2UVtby+bNm/F6vRQVxZOc8lfqyebnwu/RIPEbczzXTB+HZoy97BShdJxQhNLJhSRJXPboajY19HLbtCjfrf4mSFH46n9xZs3i2reuZYdnB1qVlvtOu49FuYsGrx+J0PG3v9H12OMA6PLySLrpRqznnHNEL1qvM0j9tk5qt3TSuLMbsS8hWG/SkDc1iZyJiWROcBz1oLzHipA/gtcZRKVWEQ5G8fQE8PYG8fQEad7XSnJqMiFfGJ8rhM8VwusMEQ2LqLUqgr4wkdDgPB6VSiCzOJ6JZ2SQXTZ2w7OEQ0Gad1bTULGF+q2baa8f7D9jiU8gq3QSBTPnkDtt5jH1bDpSTuS9Hu7w4dvcjm9TO9He/mYadbwB09RkzFOT0SQe3jhbkiTR0tLC9u3bqaysxOns7zGq1+spLi6mrKyM3Nxc1KPoSPHuu+/y+eefA3DRRRcxbdq0g14/x0R4ShKSP0KkN0i0J0i0NyB/7w32fQYQ3YeOdAkWDVFjFHekl46evTS37cIV6sIXcSIhgaBGpc5Apc1Bpc1FF9WR1raexPY1fD6+happES4MaVhvu5Ufff0qkqxH1rxJ0AN1K2H3Mlk8uQaPDtBtymGzbibLQmW83ZOFVxq8H4NOjXuinWiigVvsW5ja8xsEQU1Z6cNs365m5cqVABQXF3PJJZeg0WhoaWmhtraW2tpa9u3bRyTS76+WnJzM/AX1tLe/zLP6X/N+sITCvQEadnZz8ZR0/nTlFKXp7YuIIpROPj7b3cnXnlqHTqNic/lyzBsfA0cufG8tG6sq+VfPv/hg7wcA3DbzNr5W8rUh2+h99TXaH3hAthEAjJMnk3zLTzDNnHnExxXyR6jb1snGd+sHDZei0ghkFDqYMDuVghkpQ0bUHmtCgQiRkIgYlXB1+nF2+HB2+HF1yr1mIqEo7u4A7q4AQd/QUdwPF5VGwGjRIUkSPmf/r9f4dDOTzx5H3pQkDOaxFS5dTfvYvW41Ddu30ryziuiAh7HeZCazZCJZZZPIKp10XOwHRsPJcK9LokSo3ol3Uzv+is5YXgnIzsumacmYJiaiOsyooCRJNDY2xkTTwKFVjEYjJSUllJWVkZ2dPSTyIEkSy5YtY+3atQAsWbKEqVOnHnKfR1KfUlQi6t4vgoJEegPy5/6oUG9Qbs48BIJWhdquR23Xo3EYEA0STn8nbZ211NdtoaV+l2zSOgCdKR5JygRVDiptFgIaErqrSWtZjdm9nQ+nRFk9TeIbIRdtzjMIn3YbP1g4EfVYPS8kCdqrYPf7smhqWCv/yOxDFDQEU6fRZJ9BhW4yLzSlsL7Rh16nxjknCb1Rw0OOt4jr+gcqlZ4pk5+mocHAG2+8QTQaxWAwIEkSweBgCwaLxUJeXh65ubnk5zvYsHERLknPj1XPEGnwoa3qRRDg3osncnX52LpzK0LpOKEIpZMPSZK44vE1rK/v4bpZify87hvgboEzbqci4QJKSkt4cP2DvLDjBQB+t+B3QyJLAFG3m66nnqL7mWeRArKIsF9+Oal33Tmiq/doEEWJph091G/vpH5bZ0ygANiSjeRPTSKrJIHUfBvqQyRUDkc0ItLT6qOryRNr8nK2++hu9dHT6h0kVkaD1qBGEiU0OjUWh5y3YLHrcXp7SHAkoDNqMMXpMNv0mGw6NFo1kXAUvUmD0aJDa1DHhEhPq5eqz5qp/LSZcN9LWKUSyCiykzclidzJSZjtR/jreATCoSDNO6qp37aJHZ8tx9PTPWi5yWZn/Kw5FM1dQNr4CScs2nSy3etiKEqgqgvvpnaCu3v6c53UAsaSBExTkzEUORAOszlEFEUaGhrYvn07VVVV+Hz9PxosFktMNGVmysn5H374IatWrQLkSNL06dNHtZ/h6lMMRgdFgQ6MCkVdwSH+WcOhsmhlEWTXo7YbBnzXIxolOlrraa2tobVmF617duPqaBuyDUtCCgZLDj5PEtFIGoJKTlo3hrpJa/yM1LZ1RIRe3p0h8MF0gUtDbs7uNvM71Q/49lcu54yiY9zj098Ltctl4VS7AlyNgxZLaj2vaC/kJ72XkpBppakkjnFGHX8yPkaw+x3UagvTpv6Tnp44XnrppdhwOXq9npycHPLy8sjLyyMxMTH2fNi569c0Nj7LB8Yf8kzgDGxrOwg6Q/z0vCK+f2bBmJ/iSSOUenp6+NGPfsQbb7wBwJe+9CX++te/HtQSX5Ik7r77bp544gl6enooLy/n4YcfprS0NFYmGAxyyy238OKLL+L3+zn77LN55JFHyMyUxw+qr6/nN7/5DR9//DGtra2kp6fzta99jZ///OeDRsse7pfko48+yg033DCq81OE0snJ6ppOrv77OnRqFeuWOHG8cz2o9ew85zmK5ixCkiR+v+H3PFf1HAa1gUfPeZQZqTOG3Va4vZ3ORx6h96X/gChinDyZpJ/cjHnWrGHLHw6SJNHb5qNmYztbP9o3KIKjNajJLHJQclo62aUJg3JFJFGit91H+143HQ1u3F2y2HJ2+Ohp8SGKh76lBQGsCQZsSUZsSSbiEo2o1AIqtYA1wYA13oA1wTBis+DRXJtBX5jKT5vZua6V7ubBPdlyJiYw8cxMMoocqMc4J0EUo7TX1dKwfSsN27fStKOKSKj/F65Gpye9qJis0klklU0mNX/8cfFtgpP7Xo+6Qvi2tOPb1EZ4YDTUrME0ORnTtGS0GZbDjsxFo1Hq6+vZvn071dXVBAL9Pxri4uKwWq00NcnNQRdccAEzR4joSqIk52D5IkR9YaK9QRqr60k2xhPpCcSaxiT/KCKkagG1rV/47I8Kxb7b9bFk92gkTGfDXlr37KKlZhetNbvobmocEi0CiE/PJD6zEIkMulpsBDz97yGdOkJSxxaS936K3VmDyyzwxiyBD6YKzIv4uamrl3eDi/gk7dv86atzSLcfXjPoUSNJ7Fy7jCJdG9R/CnWfgkcex+2J6EXcF74K2/Qk2hJ1nBNv4ceRX+ByrkOrjWf6tH+j02XR2NiIVqslLS1t2KbWYLCd1WvOICKGuVW3lNauCPo1HSRo/KyZ+A66xfdCXNqYntZJI5QWL15MY2MjTzzxBADf+c53yMnJ4c033xxxnQceeIB7772XZ555hsLCQu655x5WrlzJzp07sVpl1f3d736XN998k2eeeYaEhAR+8pOf0N3dzcaNG1Gr1bz33nssXbqUq666ioKCArZv3851113HNddcw+9///v+kxcEnn76aRYt6o8o2Gw2jMbRXYiKUDo5kSSJrzyxlnV13XytfBz3uO+C2uX4HMWYvvsR6MxExSjf/+j7rGpehUbQcMvMW7h6wtUjPuw9K1bQdPNPEPt+GRlnTCfpe9/DNGfOmDTdhPwR6is6aajspqGqKzZsCsg5TQaLFpVKQFAJuLsDhAMjNwHoDGoSMi2Y7XokEeISDThSzTjSTDhSzegMaiSJo2rmG6trs7fNR+2WDmq3dAyyWNCbNGSVJpA7OZHsUjlyNdZEI2H2VW2n+tNPhjiEA8QlJTN+1hzGlU4iY0IpBvOROVGPhtHUpyRJsq+UJMlj9kUihIMBwoEAkVAQtUaDWqvrG1+vbwqH5bH+dDokUUQSRcS+T0GlInFcNurDSKwONXvwbWrHt6Ud0dN/jWqSjZimpWCakozmCKKCkUiE2tpaKisrqa6uJhTqj3wuWrSI2bNnA/KAx64PGgjtcyP6wn1TZHS9+5CNQDV2PWrHfuHTJ4IcsghSWXTDJrBLokhPa3MsStRas4v2vbWDOhHsx5KQSFp+Icl5BWj16bh742io9MR+0ABodQJpUhPxW97A3lmJShLpsWt4ZZbIx5MEcqQwt3X1kOiL56fh65ky9zx+tngCuiOIMo8Fg65PSYIt/4LXv4+IisXB+2gx5uOcnUhQq+JnOfHM7fwRbncFen0q06e9hNGYMex2o1E/TtcWavf8AadrM5XGK7kvcAWWnU709R28Zf89uYFqGFcO/7dM/oU3RpwUQqm6upqSkhLWrl1LeXk5AGvXrmXOnDns2LGDoqKiIetIkkR6ejo33ngjt912GyBHj1JSUnjggQe4/vrrcTqdJCUl8fzzz3PllVcC0NzczLhx43jnnXc477zzhj2e3/3udzz66KPU1tbG5gmCwKuvvsrFF198ROeoCKWTl7W1XXzlibVo1QKfXpdL6tLF4O+RB5T8ygug1uIL+/jV6l/xbr08Btzi3MX8as6vMGmHdxkONzfT+eSTOP/7MlLfA9I4ZQppv/k1+vHjx+zYJVGis9HDrs9bBzVTDUSjVZE4zkJSVhyOVPl4rfEGEjItWBz6Y553cyyuzd42H9s+3kfNpvZBQlGtUVFYnkLpaRkkZ1uPiWu1JEl0N+2joXIb+yq3sXfbZkJ+f38BQSA5J4/siVMomDmHhMxx6Iz9dg9iNIrf7YpN8ioCAa+XgNtFwOMm6POiUsuiJOD1EPR6Cfo8hAIBfIEAVrOZoM9HyO8j6PMRjYTRGgxEw2HCgQChgL/fEkEQYAwe3TqjibxpM5l41kLGlUwcdQRNikoEanrwbWrHX9kFkf3HBfp8O6apyRjLElHpD89qAOTeUDU1NXR3d1NQUEBKijx0heiP0P7IFiId/mHXE3QqVCYtapseD34SclP6IkGGWIRINcqOE+7uzkGiqK22hqDPO6ScwWwhJX88aQWFpOQX4kjNobNJiv3oCQ2IYml0KjKTIyTu/hjL52+ikuRlzdkW/jPZx9oJAlYBftjdw8VuL89EzucJ9VX85sszWDxxbKMph8uw9/tLX4eq19msmcwlnluZOD6R9XkGVMA/S5Mx1n4Tn28PRmMOM6YvRadLJBTqxuncSG/venqdG3G7tyP11YNGE8dD5udY0xvBtrKN70aXcqPmFTA64BtvQWrZmJ7TSSGU/vGPf3DzzTfT25cQux+73c6f/vQnvvWtbw1Zp7a2lvz8fDZt2jQoYW/JkiXY7XaeffZZPv74Y84++2y6u7txOPoHz5w8eTIXX3wxd99997DHc+edd/Lee+/FupeC/CDLyMggEAiQm5vLt7/9bb7zne8M25URZNE2MBnN5XIxbtw4RSidpFz95FpW7+ni6vIs7pvhR3zmQlTRIEy+Gi5+BPq6F7+w4wV+v/73RKQIBfYCHjrzIbLjskfcbritja6/P0XvSy8hBYMIJhMpt/8M+5IlR5W/NBzRqEhPi5dQICobFkYlTDYdjlQTqjFumjocjuW1KYoSbXUu6rZ0ULetk962/uYeU5yOnIkJ5ExOInOCA63u8F/EoyEcDFC7aQMNFVvYV1VBT0vT0EKCgEarQ6VWDRZVxxmVWoNWr5ednUMhNFo5gqTR69FotIRDQSKhIIJKjUqlQuibwgH/IBNPe0oaZWctpPT0s7E4Rm+6KgYi+Cs68W5qJ1TX37tN0KowliVimpaMPt9+VAJXkiS6X9iBv6ITVZwO26Ic1DY9arMWlalvuJgB0ZbDuT4DHg+ttbv7hdGeXXgPyGUD0Gh1JOfmk1pQSGr+eFILCrElp9Lb5qd+Wyf1FZ207nEO0q9Gq5asQiuJzh0Y33sGsbHPx0itpmZqMv8oaacmQ0CDwFecTm7oddIdSeGW8PX4Umfy6FenkZNoPuJ6GyuGrc+eevjbLIgG+U74J7wfnc6sM7JYqY+SoNXw9kQ7TduvIhBsRquNR6OJw++vH7JtvT4Vu20GoeTrOL8ygrrVj3ZrFysNt5BFC1zyBEy+cszP6aQQSvfddx/PPPMMu3btGjS/sLCQb33rW9x+++1D1lm9ejXz5s2jqamJ9PR+X4jvfOc77N27l2XLlvHCCy/wrW99a0j2/MKFC8nNzeXxxx8fst09e/Ywbdo0/vCHP3DttdfG5t9zzz2cffbZGI1GPvroI37xi19w++23c+eddw57Tr/61a+GFWKrV68+4gEiD4bL5TomAux/hcr2AD/7oB21AI9/KZ30tk8o3noPghSlvehrtJX156Lt8OzgL7V/oTfSi11r59dFvybxUONK9fSg+uvfUFVUACA5HIiLFyOdew4cg+vhZOJ4XpvOljDNFX6660NEw/2PK7VWILXEQHKRHkui5phG0QJuFz17a2nbUUlPQx3hYaILIKA1GtGazLLHjxhFYzCiM5rQGk1oDAY5IiSBxmhEqzegMRhR63T43G6MZrMsbvQGNHo9KrWGaDiESq1BrdOh1unR6ORmrWg4hKqvqU01IOdDkqRR14MkiTibGmnetpGW7VuJ9uVrCYKKpMIJZEydSWJe4WHlaak8UXR1YXR1IdTu/lwd0SgQytURzNMh2g5f3OpqgpjX+ZEEcC+0EE08eGRopOszGg7jbmvG2dyIq7kRZ/M+fN1dQ8oJggpLcgpxaZnY0jOJS8/EkpSCSq1GjEo4m8N014foqg8ScA3OSTInqInP1pEoNhG34X1U69Yi9EWgRYuZTeVJ/L24kW4rqBC4wBfk+10dpEVE/hFZxO8jVzA/P57rZzjQn6CmtgMZqT5Ttj9O8s7n6dCkMdfzAGaDDsNpKdSrVZRq4LfmNjyuXyKKHbF11OpxaLXF6LQlaLXFqFTJCILAXzwibwYkkjd3Mq5jB2/rf46o1lN94ZuImiMbS/BgeDwe5s6dOyqhdNgN/yOJhYGsX78eGD5ZejQ38oHLR7POSGWam5tZtGgRl19++SCRBAwSRFOmTAHg17/+9YhC6fbbb+fmm2+O/b0/olRaWqpElE5CJgJv16/j092dfNis5quF5yJkJ8Pr3yd55z9Jzp0Is2/oKzuRMyafwXc++A41vTX8pfEvPHrOo6SaUw+6D2nuXLqffZbuZ54l0tGB+oUXEF57DcflXybpRz9CZT7xvwaPBaO9NqNOJ8Hdu4l6POiystDl5h6+oJkILIRoWKRpdw/127qo39aJuztA01Y/TVv9mG06sssSyJ6YyLjieLRH0ORzSObOi30NBfx9uUEhopEIBosFg8WCSnVk+z1h9/qkybD4AsKBADvXfMq2j5fRsmsH7TuraN9ZhSUhkbIzzmXimecSlzTKnlZz5OdxaJ9bzmfa2oHKH8FQFcRQFUSbYZGtBiYnobYcOgIbbvPS/tIWJMC+KIdxp4875DoVFRWUlpTQ1dgQaz5r3bObzn31iNGhTdn2lLQBTWjjScnJRztgzLqAJ8ze7Z3UbetiX1U3oQE5giqNQGahg5xJiWSkgfjJ2/T+52XCAwYR1hQWsOG0ZB5K3IRPLfcgOwsTP2zcQ0E4TJ2QyRXB/2O7poR7Lp/Il6dnHvIcjycjXp+F98Nf3yfJ08LNtk94wHku53VAV4aKyojIW9YyfjllBV1dKwEBm20aOt3QaKUrEuWj1ZUQiODuCHKReg0AqqLF/D975x0W1ZX//9edPsDQexFQxIq9G0uiUbMpGjVlU01vu2mb/kuym91Nskm25LubsummbHpTkxg1sdfYBURRlN47wzD13t8fFwYQUECw5bye5z4zc+657XCH+57P+ZQhI8f3yjXV1rZfgLk9uiyUfve733H11Vcft09CQgL79u1rVQOoibKyMu+c87FERqoPpeLiYqKimudkS0tLvdtERkbidDqpqqpqNfVWWlrKpEmTWu2vsLCQ888/n4kTJ3odyo/HhAkTqK2tpaSkpN1zNBqN3a5dJDg93D8zmQ2HyvliZz4zoqJImXQd1BXD6r/AischbizEqCHHYT5hvDbjNa794VoOVx9m/tL5PDn+SX7T9zcd7l/S6Qi55RaCr7+emu9/oPK993BkZlL5/gdYN2wk6pk/YR4z5ozI1dNbyHY7joMHse/fj7usDNnuwJmVhT0zE3dRUau+xkGDCL//PnynTu3ymGj1GvoMDqHP4BCmXNWfvP2VpK0vIO9AFfU1TvZvKmL/piIMZh2DJkeRNCqc8AT/XslNZTCZMZhOcfRRL6I3mRh6/oUMPf9CyvNySF29kv3rV2OtKGfrV5+w9etPSRg2kpQZs+k3ehxa3fHTKEiShLGPP8Y+/gRe0hf7gUrqd5ViP1CJq8BKTYGVmu+PYhoQhM+ocMwDQ9ot3qu4PFR8fADFJWPsH4jflPYFhMvpoLqokPL8XEqyDpG1bw+rS4twHzPzAGpKiKaps6h+qjAyW1r/0FUUhcrCerJT1TQexUfaTqnFp4SSmBJKbH8Ljm2bqP7sTUrWrYNGPzKNnx/Gi2ayeriWN+wrsXmyARhniuDe7AyGN+Tikoy85L6SN92XEBcawLfXjWJg5Fk0i2C0wIynYck93C5/ydvSeFbshXv6DeYf9TW8kV/GmABfLg2/sMNdOGWZPx4uwOaRiSx3Uq0oLDD8oqZqGDr/1F3Lceh1Z+5t27YxrjGUetu2bUyYMOGEztwPPPAAjzzyCABOp5Pw8PA2ztwfffQRV155JQBFRUXExsa2cuYuKCjg/PPPZ/To0Xz00UcnzP4K8Morr/Dwww9TXV3dKUEknLnPDm589xfWZZYxMc7Mx3efjwTw1S2Q9hWED4Hb14Ku+ZdtTm0Oj61/jLSKNAAuSriI/zfh/xFgPHGBW0VRqN+wgaInn8JdWgqAMTmZoGt+i/8ll6L1O3stTO6qKuypqTTs3Ufpvr0E+PrhPHIER1YWtPMrvQlddBTawECchw57neB9xo4l7MEHMI84+Wy7bpeHwsxqstMqyN6rWpqaMPnp6TMkmPghISSkhPZK9FxPcCZ+191OJ4e2byFt9Qpy0/Z5230CAhk89QJSLphNcHT70Uwd4bE6adhXTv2uktalU0w6fIaH4jOysXRKU+6tbw9Tv7UIjZ+eiPtGobUYqCoqIC89lcrCPCoL8qkszKemrLRd53aD2UxE3/5eYRTZrz+WkLB27zmPW6bwULXX36hljjOAkBg/EoaFkDAslIh4f1y5OVR/9TXV336Dp6y5xp15zGikS2byRUw+n+Uswe5R9zPYrw/3lRQxsTQLCditH8V91uvJVSK4YnQsf7psCL7Gs/D+lGV4cxoU72NH2OUszLuCqAATM+cl81ZxBX5aDSvGJNPPx4SsKBxpcLC71uZd0q0NOBUFjaIQv6OKqKq9fG38Exj84OHDoO+dHyRnhI8SqOkBCgsLvX5Dt99+O/Hx8a3SAwwcOJDnn3+eyy+/HFDTAzz//PO899579O/fn+eee461a9e2SQ/w3XffsXjxYoKDg3nooYeoqKjwpgcoLCxk2rRp9OnThw8++KCVSGqyWi1btozi4mImTpyI2WxmzZo1/OEPf2DRokX83//9X6euTwils4O0ghrmvboJt6zw57lDuGFiAtSXw6vjwFYBw66Cua+BtvmflEt28fa+t3lj3xt4FA/hPuH8Y9o/GBE+olPHdFdUUPbyy9Qs+86bsFLj60vg1VcR9vvfozG1XxzyTEC22WjYl4pt104cGQeQnQ6c2dm4cnI73EYbEoJpyGAMsbGg02FISMA0YADG5GS0jd9bd1UVFW+9TdVHH6E0hn8bkvoRcMml+F9ysbrtSaLICjnpFRzYUtRmikRv1DJgQiSJw0OJ7h+IrovFX3uTM/27XlVcSNrqlaSt/alVGoXYwUNJuWA2/cdPQm/omrXdVWpTp+Z2l+BpkQhVG2LCZ0Q4KAp1q9Xpq9Cbh2JKDiJz60a+//ffkT1tcyIZfX0JjokjPKEfbqOZsdNnEBwdc1wfq4Y6JzlpFWqU2v7KVmk3tDoNMQOC1OCBYaFYgk3Idjt1K1dS/cWX2BpdTNRzDiFg3lzssyfxnnUVS7KW4JbVcxwaNJBbHRIXpK9AAuzGEJ5suJYvneOxmPQ8Pz+FS4Z1olbbaeSE92fOZnjvIhRJw82mf7KmKpzfjovjQKKZLdX1RBh0JPua2Ftno9Ytt9k8SKflOh8/3vpiP382fMgNmuWQciUseKvXrumMEUqVlZVtEk6+8sorrRJONuUyWrRoEdCccPKNN95olXBy6NDm0EC73c7DDz/Mxx9/3CrhZFycOne9ePHidqPqmvYP8OOPP/L4449z+PBhZFmmb9++3Hrrrdxzzz2dLtgohNLZw9sbjvDX7zMwaDV8ddckUmID4OBy+PRaNVX/4Hmw4G3Qtp5SSC1L5YmNT5Bdm42f3o/FcxYzILitNbQjPDU11CxZQtXHn+DMzgZUC1PYvb/Hb9o0pNNcd8yZn49t2zZsu3Yh19twFRZi378f3O0n5zMkJGAePoxKiz/RfeLQx8ZhGjIYXXh4py1DrsJCyl55ldrvvvMKJgDzyJEEL1qEZdaFPTJV6fHIlBypISetgiN7WkfP6fTqQ7DPkGCSRkfg49+z0YpdpSe/6y6nh/oqB9ZqB/XVDhRZwe2SqW/8XF/joKHOhVYnEdkvkH6jwohI8O/UmHvcbo7s3k7qzyvI3rPLm1zR6OvL4CkXkDJjNmF9Erp0voqs4DhSg21XCQ1p5SjH1Aj0mxpL4G8SqSjI44OHf4/scROVNIDoAQMJjo5TkznGxGL2D/BeQ0fj2XpKrYLiozWtcjCZ/Q0kDFWFUcs6jPb9+6n+8itqli1DrqtTO2s0+E45j8CFCykZEcfbGe/xY/aPyI1jMiZ8NLfpIpi44xMkRw0KEpsCLuXukkupxZdxCcH86+oRxJzqBJLdoFP35+c3wv5vqY6cxIjsewCJV28czV9rKjna0Pw9N2kkUvx8GOnfvMSbDDzxTSqf/ZLDbr/7CHBXwG8/gwFtqyb0FGeMUDrXEULp7EFRFH776hq25jcQF2zmu99PIcCsh4xl8MVNILtgwMVwxXuga/3L2OaycddPd7GrdBcBxgAeGfsIl/a9tEsPc0VRsK5ZQ9FTT+OpUKNstKGhBMy9jMAFCzD27duj19ve8Z1ZWdRv3oy7vAJ3eTm2bdtwFbQT9g7oIiLwGT0a8/BhaPz80IWHY05JQdv4I6cn7k1PXR11K1dR890ybFu3eadOjP3743/Zpfhf9BsMsV2b2ukIRVHIz6ji0M4SctMrqW9R/FWjk+g3Ioz4oSHEDQ45LaLpeOOpKAqOeje1FWpNPmeDG1lWsFbZsVY6qKu0Y62y43bKeNxyt2r0hfWxMHRaDMljI9B1MuVCbXkZ6Wt/InXNSurKm6OaIpOSSblgNgMnT+2yH5fs9NCQXoFtVwmeSjs+YyKwTI0DDXz9/B/J3ruLxBGjmffo08d1nG85nq2CAFLLWyV+BAiN8yMhJZSElNBWebo8tbXUfv891V98qf54aEQfE0PAgvkEXn45mfpK3tz3JqvzVnvXnxdzHrcHDGXklrehUs3bVx88hAes17Oytg9ajcQDM/tz1/SknqvV1st06vtelQOvjAWPg48Sn+fJjHjigs0s+f15rKq24pBlRvr7MNDXjP6Y625wehj37E8MdqbymfEvYAqAhw63conoaYRQOkUIoXR2sWXHXh7+uYL8qgZmD4ngv9eNVsVO5kr47DrwOCBpJlz1UZt58TpnHbevvN3rtzQuchxPTXiKhICELp2Du7ycivfeo+bbJV7BBOA3YwZRz/wJXegJUhJ0EmdeHs6cXDw11di2bsW6YSPu4uK2HXU6zCkp+Iwbhy4sDG1gID4jR6CLjj6l1dldpaVUf/opFYvfR2lR/8s0fBgBF19MwPwFPebf1WRVyEmrIGtXKaU5da3Wh8b50WdICIMmRREY3vNhyS3Po77aibXKzuFDh4kMjaOmzEZtWQM15Q3Yal0oskJ9jeO4mdjbQ2fQ4BdkwjfQiFYnodVp8A0w4htoxDfQgNliwNngbhyDMjzuJsuQjkGTohk6NYaAsM6JHFn2kLtvD/tWryBrxzZvVJneZGbgpCmkzJhNZL/kk7ISZu3cxrcv/gWtTseN/3iNoMjjT1Xt3LYXH0842anl5O2vbJW0VavTEDtQnVKLT1Gn1JpQFIWGnTup/uJLales8E6bS3o9lgtnErhwIT4TJrCzdBdvpb7F5sLN6nokZsbP5Lbo8xm05U04ul7dn18EKyJu53f7B+BWNPQJ9uHlq0cwqk8QZxOd/r7//GfY8A/kwEQuaHiB7Bo3N01O4I+XDjnuZv9dl8Xflh/gZb/3medeASOvg7mv9tDZt48QSqcIIZTOLlJTU5ED41j43824PApPXzKYm89LVFceWQuf/BZcNug/G675rE26fJfs4oP0D/jv3v9i99jRa/TclnIbtw67Fb2mixXVXS6s69ZR/dXXWNevB48HbUAAAfPm4n/pZZiGDO6axUqWadi7F+vqNdStWY3zcFabPpLBgM/YsRj69kXj54vPqFH4jBrVrRQGvXVveqqrqV25ktoflmPb1mxl0gYHE3TNNfhfNAdjv349esySo7Uc2VtG3v5KynJbiCYJovoF0GdwMHGDQgiLt3Qpgk5RFGy1TqqKbVQV1VNT1oDHJdNgdVFdaqOmrAF3O1nXO8LH34B/qAmTrx5JI+EbYMQSYsIv2IglyKQWINZI+AUaMZg7n1fKbnWxf3MhaesKmq0tEsQPDSFlWix9Bgd3OllkfXUV+9evJnX1CqqKCr3tYX0SGHrBbAZPOR9TF3OMuV0u3v/D3VSXFDF27kKmXrOoTR+PW6Y0p46Cg1XkpJVTfKR16HdTotKO0ke4y8up+fZbqr/8yjtFDmDsn0TgFVfgf+mlaAMD2ViwkbdT32ZX6S4AtJKWi/tezC19L6fvzg9h1wegyKA1UjL0Vm4/OoW9paoInT8yhmfmDsFiOr3T7d2h0993Rx38ZzRYS8ga+RgztgxDkuCLOyYyJkFNC+B0y2SVWckoqmV/YS0ZxbVsO1KJIrtJ978Xk7MKrvsakmb06jUJoXSKEELp7KJpPN/fnM0fl6Zj0Gr4+Q/TiAtutBrkbIYPLwe3HS56Ccbf3u5+8uvy+eu2v7KpQK1qfmH8hbw49UV0mu5FrNgPZlL4yCM4Dh70thn69SPg0ksJvOpKdEFtf316amupW72auuU/0pCejmyztbLEoNNh7NsXjdmMecRwfM87D58xY9B0so7hiTgV96a7rIzaH1dQ9dFHOHNyvO3G/klY5szB/ze/wZiY2KPHtNU6ycuo5ND2EnLSWicibKo/N3BiJMFRviiK6l/jcnioKrZRWVRPZaGVqmIbzga3upzAEtQkbNweF/7BvgSEmwkINRMQZsY3UC1F4xNgwBJs6vSUWHeRZYXctApS1+aTu785M7V/mJmUaTEMnBiFybdzD3l1qjON1J9XkLltk7cmmk5voP+EyaRcMIvYQUM7JeZ+WfIlGz5ejG9QMDf/678YzD447W6Kj9RQdLiGwkPVlGTX4nG19m0KjfMjYVjjlFqftqVvFLcb68aN1Hz1FXVr1nr98jQ+Pvhf/BsCFy7ENGwYCgo/5/7MW/veIqMyAwC9Rs/lSZdz06BriU1fBuv/Dg5VnHkGzeMN4w38fZsdWYFQPwN/mTv0tJchORm69H3f/REsuQeM/vwp4UMW760nzGJkSlIoGcV1HC6tw+VpKzseTirgnvyHwScE/pDZKrimNxBC6RQhhNLZRdN4KorC9e/8wsbD5Vw2PJp//7a5XA7b3oTlD4POBL/9FPqd3+6+FEXhh6M/8NSmp3DJLs6LOY8nxj9BnOXEyfDa3Z/LhXXjRmqXLaPu59UojflftKGhBF93LdrgYBSXC8XhxPbLL9Rv2uQNtW9C4+eH39Qp+F0wA78p56ENOHE6g+7S2XvT5rKxq3QXJfUlRPtFMzZybJcFpeJyUbt8OTXff0/95i3QdN2ShP9FFxF03bVqmoEuZJDuDLUVDeSmV5KXUUn+gapWdbs6iySBf6iZoChfAsPN6E06DCYtAeE+BIab8Q81o9VpzrjvenWJjbT1BWRsLvJet06vIXlcBEOnxxIWZ+n0vuxWK/s3rCF19QrKc7O97UFRMaQ0lkzxCQhsd1trVSXv3n8HLnsDc+5+gOQJ01n5Tjo5qeVtsgGY/PSqBXBICHZ9GWMmjmh3n878fKq/+oqar7/B3SLXn3nECAKvWIj/nDlofH1xyS5+PPojb6e+zZEa1dfIrDNzZfKV3DD4esJzf4GVT6qlPACiRnBg5BPcvcHIkTI1c/u8EdH88dIhBPme3mCBk6VL96csw1vToWgvjuE3cvHRBRwutbbqYjHqGBTlz6AoC4Oi/Bkc7U/KjieQ9vwPxtwMl/yr5y/iGIRQOkUIoXR20XI80wpquOQ/GwH45u5JjGzyGVAU+ORqyPwRJC1c8k8YvajDfa7LW8f9a+/HLbvRa/RcN+g6bht2GxZD5x8kx6I6Oa+k4t33cGa1nUJrwtCvH/5z5uA3dQoaiwVDbGyP15rriPbuTY/sodJeSWlDKduKtrG5YDO7SnfhkpsFXbRvNE+Mf4JpcdO6dVxPTQ11P6+mdvly6jds8LbrwsKwXDgTy6xZ+IwZg9TJyNXOInvUqZ0DW4rITa/EWu1Ao5GQtBJarURAuA/B0b4ER/kSHO2L2U+PzqAlINSMtp1Eisdypn7XXQ4Pmb8Uk7q2gIqC5oddVL8Ahk6Pod/IcLSdLLOhKArFWZmk/ryCA5vW43I0ps3Qauk3ZjzDLphNn2EjWjlpL3/1n+xfv5qopAFc/ecX+fHNdI7uVXMWWUJMRCcFEpUUQHT/QAIjfDqMepMdDup++onqL7/EtmWrt10bGEjAvHkELlyAMSkJAIfHwZLDS3g37V0KrGqwg8Vg4ZqB13DdoOsIrMqFFU9AduP95xeJc/pTvFA0gnc356AoEG4x8uzlKVw4uP3kymcbXb4/G9MFIGmw37KO/2VbsNrdXmEUG2RubU10O+Dv/cFeA4u+h4Tzev4ijkEIpVOEEEpnF8eO54Of7eHr3QVE+pv45p5JRAU0Tku5HbDkd5D6ufp50u9h5p+hA4vFoapD/H3H372OncGmYH438ncs7L/wpBxYZYeDmm++pX7bVhSnC0mnQ2rMUeQ/ZzbG/v27ve+TpWksaxw1bCzYyLr8dWwq2ESts21ZgGjfaBIDEtlfsZ8qRxUAM/vM5LFxjxHh2/0HiT0jg8rFi6n7eTWytfkhrouKIvSOO/C/5JKzJsHnqfquy04nziNHcGbnoLhcau6rTpSVURSFoqwa0tbmk7WrDFlWHxtmfwNDzotmyJQY/II6n0fJ2WDjwOb1pK5eSfHh5nqg/mHhDJ2uZgivqyjnk6ceAuCaZ/+ByxHKsv/sRavTcNl9w4nu37FDdNN42g9mUv3Vl9QuWYqnprFgryThO2kSgVcsxO+CC9A0/riwuWx8kfkF76e/T1mDGsUXbArm+sHXc/WAq/Fz2tSM/rs+RC3YZ4JJv2d7zA08vDSL7Ap16nvBqFievmQwAT5nny9SR3Tr/mxMF0DiVLhhaRufz1bs+xy+vg38IuHB/dDNUkBdQQilU4QQSmcXx45nTYOLK/67mcwSKwMjLXxx58RmR0tFgXUvwtrn1M8DL4H5b4Kh/QevoihsKNjAS9tfIrs2G4DrBl3HI2MfOWfKlyiKwqHqQ/yc8zObj27GpXdxoPIAHqVF3StJg8VgYVjoMCbHTGZS9CQS/BOQJAmby8Z/9/6XD/Z/gEfxYNKamJ0wmwXJCxgR1v0M3bLTiW3LFmpXrsT608/eB6Kk1+MzaSKWmTOxXHABupCQHhmH3qAnv+uKLOMqKMCekYHj8GHk2jpcJcU4Dh3CeTS7TRZ105AhBC9ahP+c2Z3K61Vf42D/xkLS1hdga0wUKWkk+g4PJWV6LNHJgV36W5blHGXfzyvI2LgGR706ZSVJGnQGAy6HnSHTZjL7rvv45u+7KMqqYfjMOM5b2PGPBI+1noy33sR3y1bs+5oziuuiogicP5/A+Zejj2lOO1HrrOWTjE/4KOMjqh3VAET4RHDT0JuY338+ZkWCba/D+n+As9HZf+gCGqY9xQtbbCzenA1AVICJ5+ancP6ATtbEO4vo1v3ZIl0AV38MAy9uXudxqVOWZQehPBO2vgb1ZTD9CZj+aI+ee0cIoXSKEELp7KK98cyvsnH5a5spq3MwpX8o7y4ai17bwnKU+iV8exd4nJA8R/VbOs5DoCky7uVdLwMwOWYy94+6n4HBA3vjknoVl+wiszKTSnsl20u283POz+TWtc3OnRSYxLTYaUyLm8aw0GFoT/Br8GDlQf6y9S/sLdvrbUvwT2BB/wUsSF5wUtOWssNB9WefUfm//7XOJK7R4Dd9OqF33YVp6JAzTrx257suOxw4Mg9h378fe8Z+PJVVuCsqcBw82MrCdiwaf381clCSsKeleZN+6iIjCb7+OgKvuAJtJ/6feTwyR/eUk7o2n8JD1d724GhfUqbFkDw+0puwsTO4nA4ObdtM6s8ryM9Q03BE9O3P/Mf/RFWxzLf/3I1Wp+H6v07EN7C19UpxOqnf9gu1y5dT++OPzYENej2WCy4gcOECfCdNQmpRpaGioYIP93/Ipwc/pd6lCrQ+lj7cknILl/a9FL1GBxlLYeVTUN0YTBA9Cub8jc2ufjz61T7yKhsAuHpsHE9cPAj/szCirTN0+1nUmC4A33AYcQ1UHIbyQ2p+Kbm1jyWhA+DODW3y2PUWQiidIoRQOrvoaDzTCmq48o0t2JwerhwTywsLhrV+kOZsgQ/mqr+MLvwLTL73hMf65tA3PLPlGa+1ZVb8LO4ZcQ99A3s3seTJ4pE97CrdxfKjy1mVs8r7C7sJg8bApJhJJJLIsH7DGBQyiBi/rieFVBSFvWV7+frQ1/yY/SMNbvWBE2oO5d6R9zIncQ5mXfcj9BRFwXn4MHU//UTdqp9aJwzs0wfLBRdgmXEB5pEje9yfqTsc77suOxw4MjJoSE3DnpaGq6gIT1UVjqNHO8ygLun1GPv3xzhgALqQYLRBQRiTkzEmJ7fKou6urKTq00+p+t/H3rxeko8PgQsWEHzD9RjiOhecUFFgJXVdAQe3FXtTHuhNWgZOjCJlWgxBkV2bAq0szKeyIJ++o8ai0WpZ8vJu8g9UMXRqDNOuUTPjyzYb1o0bqVv1E9a1a5szZgNKTAwR115LwNzL2lgSi+uLWZy+mK8yv/LWYUsKTOK2lNuYlTBLDTYo3KP6IeWoka1YomHmn7AOuJznlx/kf9tUER4TaOZvC1KY0j+sS9d3ttHtZ5GjDt6dAyVpbdfpfSC0vyqQwpJh1CLwO3XjKITSKUIIpbOL443nzxkl3PbBDmQFHp49gHvOT2rdYfs78P2DgARTH4bpj51wHj27JpvX9r7Gj0d/REFBI2lY0H8Bj417DIP2zIiCkRWZ7cXbWZWzivKGclLLUiltKPWuDzAGEOkTSd+AvsyIn8GUmCn46H169N60Oq38mP0ji9MXk1Or/nL30/sxO2E285LmMTxs+ElbgBxHjlD+2uvUrVjRKlpQGxhI4JVXEnzTonbTMJwqUlNTGTp4MI6sLBr27qVh716cR7Px1FTjzM7pUBBpAwMxDRmCafAgdFFRaP0DMCb3x5iY2KXyOLLDQe1331O5eDGOQ4fURknCMnMmwTctUgVlJ/4GjgY3B7YUkbauoFXJmNiBQaRMjyUhJQSNtmvRicVHavjqxZ1oNBLX/nkCmoydVH/+GdYNG70JIQG0YaFYZswg4LK5ZOm0pAwb1mo/ubW5vJv2bqs6bCmhKdyWchvT4qahkTRQV6z6Ie3+H6ofkhkm3weT72V9to3Hv06loFoV9ddN6MNjFw3C7wwtZNuTnNT33WGFTf+nTq2FDYDQZHXxj+nQ7/NUIITSKUIIpbOLE43nh1tzeOrbNPRaiR/vn0q/sBaJ8RQFfnwMtv1X/Zw4FRa8A34n9kfIrMrk1d2vesscTIqexAtTXiDQFHgyl3NSZNdkszRrKd8d+Y6i+qJW6ywGCxfGX8ichDkdhvP3xr3p9Dj5KOMjPj/4uTfaCNRpuftG3ceMPjNOWjB5rPXUb9qEdfXPWNeua3bw1enwGT0av/OnYzn/fAzx8Sd1nBOeR3U1tt27adi1G/uBA1iLi9EWFiI3+ugcizY4GFPKUMxDUzAkJqL1t2BMSkIXFdWj04iKolC/eTOVi99vFVVoGjaMkEU3Ypk1q1MWOEVWyD9QReq6fLL3NYfy+wUZGTI1hsGToztdKub7V/eSnVrBwElRjO9bSd6tt3rX6WNisMyaheXCCzGPGO5NEdHy/jxUdYi3Ut9iRfYKbx22sZFjuS3lNiZETVDHz2WHra/Chn+Cs3HaMuVKmPlHao0RPPtdBp/tUAv0xgWbeWHBMCb165ks+mcD5+KzSAilU4QQSmcXnRnPm977hTUHy5iWHMbim8a2fQjt+xyW3Q+uevCLgIXvdjqUdWPBRh5c+yAN7obmfCxDbiDcp/edP6vsVSzNWsq3h78lvy7fO+UAYNFbmJUwi0HBg4j2i2Z81PgTWrx6896UFZmdJTv59vC3rMpZ5Z2WSwlNYW6/ucxOmN0jIlNxu7GuXUv56//Fnp7eap0hqR/BN9xA4Lx5J5VyQVEUXLm52HbsoGHPXtxVlTiPZneY9kHy8cGckoJ5+HBMAweg8Q/AmJhwwpIyvYHj0CEqP/iAmiVLm/2YoqMIvv4GAhcuQGvpnC9ZbUUD6esL2b+pELtVteZpdBJJo8NJmR573IK8ZXl1fP7sdiQJrn5sBOXXzcVTVo5l1ixC77oT48CB7W6bmpqKFCXx5r43WZO3xts+JWYKtw+7nRHhI9QGRVEjs1Y+DTWNPm0xY2DO3yBuLGsOlPL416kU19qRJLhxYgKPzBmAj+HctyK15Fx8FgmhdIoQQunsojPjebS8ntn/Wo/TI/PYRQO5c1o75TLKDsLnN0DZAZA0cMViGDy3c+dQlsozW57hYJWahVuv0TMvaR63pdxGlF/PZe51y27KbGVk12bzzeFv+Cnnp1b5jLSSlknRk7gs6TLOjzsfo7ZrDpSdvjddDZC5QnXg9I+GQZeCqfPflXpXPe+mvct7ae95z1+n0TE1ZiqX97+cabHTekRAOHNzsa5ZQ92atdh27GjO0uznh+/kyfhNm4bftKnHjZxTFAXHoUPYtm/HXVKKKz8P246duEtL2+1vSEzEPGok5mHDKbDWkTR5Msb+/Vs5HJ8JuCsqqPr4E6o++QRPpZqxW+PrS+DChQRdf32nCxe7XR4O7ywldW0BpdnNaSTC+lhImR5L/zHhbbKP//hmGlm7Suk/NoJxARkUPfkU+pgY+n7/HRqT6dhDoCgKO0p28K/N/yK1LhVQ67BdGH8ht6bcyqCQQc2dC3apfki5W9TP/jEw8xkYuoAau4dnvkvn612qZTMx1JcXFw5jbGMZjl8b5+KzSAilU4QQSmcXnR3PN9dn8dwPBwB44jcDuX1qO2LJWQ9L74W0L0HvC7f+BBGDO3UeiqKwsWAjb6W+xe7S3QAEGgN5ZcYrDA8b3vkLaofyhnI+P/g5nx/8nAp76xIcg0MGc0XyFYyPGk+IKQQfffcLvh53LBUF8rfDnv9B2jfgqGle5xMCl/2ndahwJyizlfHD0R/47sh3HKg84G0fEzGG24fdzrjIcSeMtussnro6ar75hop33m2VuRlJwjxyJEHXXIOxX1/k+no8tbW4iouxbd+ObdsvXiHREkmvxzRsGD6jRqGPiUYXHoF55IhWPlG9/V1XFIUjNUfYUbyD7SXbSStPw+qyMiBoAJf1u4zf9P3NCesVynY7NcuWUbn4/WaLmEaDZdYsQhbdiHnEiE6fT0l2LWlr8zm0o7RVQd7Bk6IZOi0G/1AzlUX1fPLnbaDAVU+OpfbeG3HszyD84YcIueWWVvtzeVz8nPszHx/42Pud8tZhS7mFvgEtgihqi9RorL0fq5/1PjD5fjVfmsGHlenF/L9v0yircyBJcOt5iTx44QDMvVxC5kzmXHwWCaF0ihBC6eyiK+P58k+ZvPyT6tT65MWDuHVKO9FqHjd8NB+OrgPfMLj0/7osAHaW7OSFX14gozIDg8bA3KS5XDf4utb/2I+DrMgUWgspqi/yRpA1OarqNDqCjEFMi5vGwuSFDAk5fgXvrtBmLGsLVWFUsAtKM6DqaPO6gDiIn6SKp0q1FASjboTZz4GxawVSQfX5WnJ4CZ8d/AyHRy31EmoOZU7CHC7uezFDQnom/F+RZexpaVjXrsO6dm2ryLmOkEwmfEaPxtC3L7qQEMwjR2IePqxd60dLevq7nl+Xzy/Fv7CzZCclthIOVR2i0t5WxDUR6RvJoiGL1LxBJ4g2VBSF+o0bqXxvMfWbN3vbzSNGELxoEZYLZ3baKtZgdZKxSXX+rqtsLsibMDQEh81NUVYNicNDOX+SQvZVVyMZDCStW+sVmbm1uXyZ+SVLspZ4r8+gMTA1eCoPTXuodUSmqwE2vwIb/6VOnQMMuxpmPA0BMVTWO/nT0nSW7lWL+fYL8+WlK4Yzqs/pc/I/UzgXn0VCKJ0ihFA6u+jqeP5zVSb//lkVS09dMphbzmunAGt9Bbx/KZQ2+riMuBbmPA+mztdZs7lsPLr+Udbmr/W2nRdzHtcPvp6JURPbfeg7PU6WZi1tFSnWxPCw4Vw36DpmxM84oZWgu6SmppIyZDAc/gl2Llan11oknkTvo05HjrgG4s9To1vcDljzLGz6N6BAYLz6K374b7slmAqthbyT+g4rclZQ08JqNSBoAI+MfYRxUeNO/kJb4CopoerjT7CuXYu7vBytnx+agAC0QYGYhw3Dd/x4zMOGdcun6WS+6zWOGnaU7CC/Lp+jNUfZWrS1lTN8EyatieFhwxkTOYZR4aPwM/ixuXAzH+3/yGt9DDIGce2ga7l64NUEGE98D9sPZlL5/vvULlvmjSbUx8YSfMP1BMxf0OnM6LKskJNaTuq6AvJaFOTVGTQseGQMzv/8lZolSwiYO5ew5/7C6rzVfJH5BduKtnn7hpvDmZ88nyuTr6Q4q7h5PBUF0r6Cn/4ENapDNrHjVD+k2NEA/JBaxNNL0ii3OtFIcMe0ftw3oz8m/a/XitSSc/FZJITSKUIIpbOLro6noij8c1Um/1l9GIAXFwzjyrHt5JU5VgD4x8K8V6Hv9C4da0fJDj7c/yFr89aioH4tZ/SZwV8m/wWLwYJH9lDjrOHbw9/y0f6PvGUW9Bo9QcYgxkaN5bpB1zE0dGinj9tlaotg53vYUr/Dx14MthbTe30mwZB5EJSgWpCMHTj7Hl0P39wJtY0Pc6O/KjDH3QYh7UxzngCXx8Wmwk38cOQH1uStaZUb56LEi5iTMIc+/n26vN9TSWfvTY/sobyhnLy6PLYWbWVL0RbSytO80VxN6CQdQ0OHMi5qHAn+CcRaYhkSMqRdJ327286Sw0t4L/09r8Dy0flw1YCruH7w9YT5nDi3jbusjKpPPqHq40/wVFcDqn9X4JVXEnzdteijozsxCirVJTZS1+VTVVTPxPlJBPm5OTxtOorTSfhH73FL/t/IqlGn/iQkJsdM5orkK5gaO9Uboekdz/ydsOJxyGsUVP6xcKHqh4QkUW518PSSNH5ILQYgOcKPlxYOZ3hcYKfP99fAufgsEkLpFCGE0tlFd8ZTURReXHGQ19dm4WfU8dOD04gM6GAaJWcLfHtnYzVxCa76CAZd0uXzzK3N5X8Z/+OLzC9wyS50Gh1GrdGbPbiJCJ8Ibhh8AwuTF56Uv9EJURT1QbPtDTVTsdwip485CIZfA6NvVHOkdBZHnZqr5pc3obJFBNjom2DWX7tlYQKotlfzyp5X+OrQV94pSFD9s64ecDVzk+aq+XLOMI53b5Y3lLO5cDMb8zeyqbD9enp9A/oyIHgAUb5RjI4YzeiI0fjqu5bk0S27+TH7R95JfYfD1eqPA71Gz9ykudw85Gbi/E+cfFJuaKBmyVIq338f59HG6VetFv/Zs9V8TN34f1bxzruUvvQSpsGD+fjhkXya+RmBxkCuSL6CBckL2k14mvHLagblfwb7PlUb9D5w3oMw6XegN6MoCkv3FvKnpelU2VxoNRJ3T+/H7y5IwqgTVqRjORefRUIonSKEUDq76O54yrLCgv9uZnduNTMHRfDm9aPRaDrwgXFY4bsH1IK6eh+1GGTc2G6d7+7S3fxx8x85WnO0VXu/gH4sGrqIixMvRq/tpZIJLjvs/QTSv1H9japblAPpM4m88POJGzEDIoaA/vj+N8dFliFrNfzyBhxaqbZZolTBNOoG8O9eJGCNo4bVuav5MftHthVt82ZITw5KZm6/ucxKmEWkb2T3z7uHabo3FUUhsyqTdfnrSC1PpdBaSGZVZqu+GklDmDmMUeGjmBg9kYnRE3v0WmRFZkP+Bt5OfZs9ZXu8x5wdP5tbUm5hQPCJBbEiy1jXr6dy8fvYtm71tptHjyZ40Y1YLrigU35MiiyTNXsOrrw8fJ56iEvd/4eCwtuz3mZ81Pi2GzhtsOUV5PX/QNOUAmP4NaofUuO9VFpn58lv0li5X3XUHxTlz0sLhzE0pvPT5b82zsVnkRBKpwghlM4uTmY8DxTXcsm/N+KWFS4bHs3frxiOQdeBZcLjho+vUAWApIUJd8H0x7tlJVEUhXxrPrIi46v3xWKwdDmUv0vYKmH726qlp76suV1ngpQrYNztEDWsd+7NI+tgyT3NfiQaHQz4DYy9VU3w2U0H7Up7Jd8e/pa39r2F1dVcA21Y2DBmxc9iXtK8Tvnj9AYuj1pYeGvGVkoMJazLX0dxfXGbfoOCB3FezHlMiZ1CSmhKu0lAexpFUdhZspO3095mU8Emb/uUmCncmnIroyJGdWo/9owMKhe/T80PP0CTH1NcnJqnav7laHw7tnxZN2wg77bb0VgsbHr9Jv6V/hpjIsbw3pz3Wnd0O2D3R2rCyNp8tS1uguovGDPKez3f7C7gmWX7qWlwoddK/O78/tw1vV/H32UBcG4+i4RQOkUIoXR2cbLj+e3uAh76Yi9uWWFyUgj/vW40lo6KYNpr1PQB+79VP/vHwEUvdmsqrtcpPwQ73lMLVh5dD40JHgmIU4VRzGg19YH5FISzu+zq9N72dyCv2RLBwEvg4n+CJaLbu66yV7H86HJWZK9gd+lurx9YgDGARUMWcVHiRd2qW9dV6l31bCzYyOrc1WzI30Cdq67VepPWxISoCUyInkCMXwxDQ4cSau7BLNAVWXBkLVhLIXwQ9J8FhuNP3R6oPMA7qe+wMmel1x9qZPhIbk25lSkxUzoVZegqKaXq44+p+vRT5MaM6Bp/f4KuupKga69FH9nWKpZ3191Y16wh6IYbuHPwNrJqsnhm0jPM7z9f7eC0qcEEm/8NdY0Z5gP6kDvwFvrMuc8rrotr7DzxTSqrD6g5rVJiAnjpimEMjOz5/9vnIufis0gIpVOEEEpnFz0xnuszy7jro53UOz0MivLn/ZvGEu5/nKmnQ6vg+z80Vx8fcjlc/ibozoBabyXpsP7v6vQaLf4NRA5T61sNngsdTO11diztLg9L9xaSml9DhL+RhaPjOvbxOpbiNNjxDuz6QPWL0uhVoTnqRkicdlJ1okptpfyU8xNfZH7h9ccB1ZfpwvgLmdlnJgkBCd3ef0vqnHWszVvLhvwNFFgLOFB5AKfs9K4PMgYRqgtlRMwIpsdNZ1zkOEy6k5jOPBZFgdL9kLEM9i9tjtBswjdM/XuPuRkMx/draqqXtjRrqTcBaHJQMrcMvaW5oOwJkG02apYsUfMx5TR+L3Q6/C+6iOBFN2IeoqaxcOYXkHXhher5f/wfrkx9AIPGwJqr1uAvo1o+t7wKtnJ1H/4x6nWMuoHUA4e9U5lf7MjnL9/vp87uxqDVcN/M/twxtS+6Ltac+zVzLj6LzhihVFVVxb333svSpUsBuOyyy/jPf/5DYGBgh9soisIzzzzDm2++SVVVFePHj+fVV19lyJDmHDAOh4OHHnqITz75hIaGBmbMmMFrr71GbGyst09CQgI5Oa3Dph999FH+9re/eT/n5uZyzz33sHr1asxmM9dccw1///vfMXQyvFcIpbOLnhrPtIIaFr33C+VWJzGBZj69fQJxwcf5Re60wfqX1F+9slsNh5/3erenkk6KvO1QkgqHfoKD3ze3D7gY+l8I4YMhbtwJz+1EY1lrd/HR1hze3ZhNudXhbfc1aHnpiuH8JqULvkdF+1Sxmf9Lc1tQgvpgH38n6Lo/FemW3SzLWsayI8vYWbKzVfTY7ITZ3D7sdvoH9u9SXqYGdwMFdQWkVaSxKmcVmws3t3IsB+hj6cOMPjO4oM8FDAsbRnpaes9+16uyIf1byPxRzSTf0CKHkkanRiUGxKkWxKapTt8wmHQvjL3lhIKp1FbKh/s/5PODn2Nzq8VvY/1iuWnoTcxNmtup6WFFlrGuXUvle4uxbd/ubfcZO5bgmxZRv3kLVR99hO+kiXx610A+3P8hs+Jn8Q9jX1j3gmq1BTXNxJQH1e9V472QmppKcFwSj3+dyvpMdQp5RFwgLy0cRv+IzpVeETRzLj6LzhihdNFFF5Gfn8+bb74JwO23305CQgLLli3rcJsXXniBZ599lsWLF5OcnMxf//pX1q9fz8GDB7E01ha66667WLZsGYsXLyYkJIQ//OEPVFZWsnPnTrSNDoIJCQnccsst3Hbbbd59+/n54een+ol4PB5GjBhBWFgY//jHP6ioqODGG29k/vz5/Oc//+nU9QmhdHbRk+OZW2Hjxvd+4Wh5PeMSg/n0tgkdO3g3cWgVfHyVmm8ocaqacDHyFP19835RsxFnb2jRKKnh/FMegsiupRRobyyrbU725FWz5UgFH2/Npc6hioOYQDOzh0SyM6eSvfnqw+2OaX15eNaArv2qL06Fne+r9faa8iaFD1YddZMuBO3J+e1UNFSwJm8Nq3JWsaVwi3dqLt4/ngv6XMAFcaqoaS9qzuaysT5/PcuPLmdDwYZW5WJAdcCfGT+TQcGDSAxIJDEgsZX4Oul7s6FaFUR521QLYeGu1uu1RkiaoZaQSZ4DPo2lODwu1Wl//d+brZ4+oaplphOCqcZRwycHPuF/Gf+j2lENqMk/rx98PVcmX4mfoXN+eQ1p6Wo+puXLveVjmoh69T9cXvEs5Q3l/GfQbUz/4Sl1RWiyeu8OXdDqb68oCi99s4UP9tZhdbgx6jT8YVYyt5zXF+2JvqOCdjkXn0VnhFDKyMhg8ODBbN26lfHj1eiErVu3MnHiRA4cOMCAAW0jJxRFITo6mvvvv59HH30UUK1HERERvPDCC9xxxx3U1NQQFhbGhx9+yFVXXQVAYWEhcXFx/PDDD8yePRtQhdL999/P/fff3+75LV++nEsuuYS8vDyiG3N8fPrppyxatIjS0tJ2B87hcOBwNP86rq2tJS4uTgils4SeHs+8ShuzX16PzenpOHv3sez5BJbdBx4HIMGo6+H8J0/K96ZDFEUVF2ueVS0LAFoD9D1fzVc0elHXQvpb0HIsK6wO3txwhA8259Dgak462T/cjzun9eOyEdHotRrcHpkXVxzkzfVqdu4JfYN54jeDGBYb2LWDO21q6Zif/9zscO4XAcOvhhHXQVhyt66pJQcrD/LantfaiJ4o3yhuHnozCQEJlNnKKKovIrMqk/X5673FewEsBgt9LH2YFjeNWfGz6Bd4/PxQ3bo3HXVw4AdI/QKOrGmdtkHSqMWaB8+D2LEQknR8PySPC/Z+Chv+3pjegkbBdK/qTH8CwWRz2fjm8DcsTl/sdUa3GCxcPeBqrht8HcGmztVIcxUXU/W//1H12efItbWE/v53ZM4bwZ0/3UmgMZDVVTL6kjT13r34n3BM2Zq8ShuPfrWPzVlqfq8x8UG8uHAYfcO6l25CoHIuPovOCKH07rvv8uCDD1LdmHysicDAQP71r39x0003tdnmyJEj9OvXj127djFy5Ehv+9y5cwkMDOT9999n9erVzJgxg8rKSoJa1EoaPnw48+bN45lnngFUoeRwOHA6ncTFxXHFFVfw8MMPe6fVnn76aZYsWcLevXu9+6iqqiI4OJjVq1dz/vnntzm/P/3pT979t2Tz5s1eS1VPUltb2ysC7NdKb4znD5l1vL69CoArh/hzzbCAE/5q1dcXEZn2OoH5qwHw6MwUDfs9VYmX9cg5maoPEZn2X3zL93pDpBVJS1X8bygddCMun5MPJa+trUUx+PJNRi3fHbTi8Kj/RqIsOvoG6Zme4Mu4WDOadqasNuTU8++tldjd6jbDIowsGOzPyChTl6a4tI5qwg5+RFDuj+garRkAdeFjKBzxB5yWE+f9ORENngb21u5lR/UOdtfspkFu6LBvuCGciUETmRg8kThTXJeupVP3piLjU74Pn8p0fKoysBRvQeNp/uHmNIfj8E+kNnoKtdFTcXdSnLRCdhOUu4KwA+9jrFdLebgNgZQl/5bKfpcj647v9O2W3Wyq2sSy4mUUOtTtDZKB6aHTuTj8YsKMJ05eCUCDHaoqITqa17JfY2PlRi6yjOHFfV/j0Zo5eNGXeFpEKjo9Cksyavk8vRa7W8GggRtHBnJxskVYkXqAc/FZZLVamTRpUqeEUq/FmBYXFxMeHt6mPTw8nOLituGvTdsARES0/nUdERHh9TcqLi7GYDC0EklNfVru97777mPUqFEEBQXxyy+/8Pjjj3P06FHefvtt736OPU5QUBAGg6HD83v88cd58MEHvZ+bLEpDhgwRFqWzgN4Yz6FDFZzGDN7ZeJTP02spcxt5+eqRBJiPl98oBSbMgtyt8OPjaAt3EbvrRWJj49TcQd2lthBW/xX2fIzXOVvSwJDLkc7/fwSH9ONka5/XNLh4c30W3+ywUlJfg0duFDuxAdw/sz/nDwg/oUBISYE54628svowS/cWsq/Ewb6SMgZF+fPHSwczoW9I509ozBTVGpK5Qg0PP7QSS+kOBqy+SXWcH/5bSJhyUo7f4xjHbdyGw+Pg0wOfsjp3NVWOKsJ9won0iSTGL4bzYs5jaOjQbteYO+69WZapJk7c93mzP1ETIf0hZSEMXYghNAkDYAFOKnZv+Ej4zR/U461/CV3VUaLSXifqyOdqyZmxtx031cVIRnK3cjerc1fzdurbpFeks7JsJavLV/Obvr/h5qE3n9DC1oTNZWPnvp0AXGdUrVragRcxeMx5gDoLsWxfES/8eICCalXEjksM5pYUI7MndS59geDEnIvPotratolbO6LLQqkjq0pLtjc65rX3T0NRlBP+Mzl2fWe2ObbPAw884H0/bNgwgoKCWLhwIS+88AIhISHdOj+j0YjR2Is5bARnHZIk8dQlgxkS7c/jX6ey5mAZ817dxJvXjz6x02ifCXDrz/DT07D5P2o6geyNMP0xCO5cUVysZWqod/E+NQrIpTrWMnQBTPmDuh/98YucdoYGp4f3t2Tz+tosahqap6K6IpBa0jfMj39eNYI/zB7AOxuO8un2XDKKarnmra3cO6M/N5+XiH9HqReORdsYDTfoEqg8Ct/dr47J3k/UxT8Whl+lOn8HxJ5obx1i1Bq5cciN3Djkxm7vo1M4bWqKhCPr1KnTktQWJxGg+hqFDYTk2RA1vFtBAbKsUN3gIshH3/7fTauHkdfCsKvU5KnrX1ILGv/0J7VUz6TfqyVnOihTo5E0zIyfyYw+M9hWvI23U99mW9E2lmYtZWnWUi6Iu4BbUm5hWNiw457nz7k/0+BuIN4ST0rWRrVx0KUA7Mqt4i/f7Wd3bjUAUQEmHp0zkMuGR5OentblMREIOqLLQul3v/sdV1999XH7JCQksG/fPkpKStqsKysra2PJaSKyMY9GcXExUVHNUTGlpaXebSIjI3E6nVRVVbWyKpWWljJp0qQOz2nChAkAHD58mJCQECIjI9m2bVurPlVVVbhcrg7PTyDoiPmjYkmOsHDHhzs5Wl7P5a9t5uu7J5F8IrGk0cCFfwG3U81Ove8ztYDnqBtg6sPg30GNLI9bTQq55jlwtsjDEzdedRKPHXPS1+TyyGw9UkFaQS2LNx+lpFad5kmO8OPy/iYunzKcCH9jt60ooDp6P33pYO6dkcSfl+3n690FvPzTId5af4SrxvbhpskJx48oPJbgRLj+W9V5fe/HkPaNmoBwwz9g639VETrqBjAHdvucewVFUc9590eQ9nXrv6lGB0kzVdEy4KJuC19FUdiZU8Unv+SxMr2YOoebUD8DV42N4/ap/dq3gmp1amHjlCtVX6j1L6klZ35+Ro3inPR7NddWB4JJkiQ1J1TUBNLK03gn9R1+zv2Z1XmrWZ23mnGR47gl5ZYOiz9/d+Q7AC6OGIe0bwNojRSGT+Fvn+xm6V51as+s13LX9H7cNqUvZoMoPyLoeXrdmXvbtm2MG6dW8d62bRsTJkw4oTP3Aw88wCOPPAKA0+kkPDy8jTP3Rx99xJVXXglAUVERsbGxrZy5j+W7777j0ksvJScnhz59+nidufPz872i7LPPPuPGG2/s0Jn7WETU29nFqRjPCquD2z/cyc6cKgZGWljyu8mdrx1VsEudOsv6Wf2sM6mZhcfc3Lpf9ib44SE1Nw6okV+RKTDwYhh02UmnHVAUhZ8zSnnuhwyOlDfXl4sJNPPghcnMGxnD/vS0Hh/Lpvpbr6w+zKFSNYO2RoI5QyP5fxcPJiawGwLB1QAHl8O2/zYXRtUaYcAcVXgkXXj6clo56iD1Szj4A878PRgaSpvXBSXA0IVqNGL8eeDXSd+eY1AUhaIaOz+kFvHp9jwOl1rb7edv0nHn9H4smpSAj+E4v589btWRft2LzTX6zEEw8XeqYDKd+P/gkeojvJv2Lt8f+R63ojqgDw4ZzK0ptzKjzwxvVGGZrYyZX85EVmR+iL6MuE2v4Eyaw8Sjt1JR70SSYOGoWB6aPYCIY3KZif+dPcu5OJ5nhDM3qOkBCgsLeeONNwA1PUB8fHyr9AADBw7k+eef5/LLLwfU9ADPP/887733Hv379+e5555j7dq1bdIDfPfddyxevJjg4GAeeughKioqvOkBtmzZwtatWzn//PMJCAhg+/btPPDAA4wZM4YlS5YAzekBIiIieOmll6isrGTRokXMmzdPpAc4RzlV41laZ+eilzdQUe/koqGRvLBwWOenkUAVQqv/Arlb1M9jblGjuqwlat21LNUJHHMwzPwjjLzhpHxwWrK/sJZnf9jPpsNq1FCQj57xiSFMTgrhyrFxXtHXm2OpKArrD5Xz9oYjbDikJhMM9NHz9CWDuXS4GkHXZWQZdn8IW1+DsgPN7aZANRR+0u87TK7ZoygKFO5Ws0mnfgktCx3rfdQknyOvgz6TTupvmlNRz8fbcvl6dwFldc0O32a9lkuGRXHV2DgGR/uzPrOcf646SGaJKqBC/Yz8/oIkfjuuz/HLenjcquVz/YtqRndoFEz3wLg7OiWYiqxFvL//fb7K/Ap7Y9BBgn8CNw+9mUv6XsLHBz7m7zv+zoiwEXyYcwRK0vih39PcnT6QxFBf/vPbkR3WZxP/O3uWc3E8zxihVFlZ2Sbh5CuvvNIq4aQkSbz33nssWrQIaE44+cYbb7RKODl0aHOeF7vdzsMPP8zHH3/cKuFkXJwa5bJr1y7uvvtuDhw4gMPhID4+nquvvppHHnkEH59mM35ubi533313m4STnfVDEkLp7OJUjueaA6Xc+sEOPLJCXLCZ/7t6JKP6BJ14wyYUBVY+CVteaWelpIZHz3i6OR/OSVBaa+fdTdmkFdSwKascRQGDVsPN5yVyz/n92i3TcqrG8kBxLY98uY99jfmXIvyNXDs+nt+O60OYpRv+gk0pE1I/V4VKU9mLoETVwpSyEEL79+AVoE6rZixVp1VL0qG2oHldSBKMvJ4sVyj9Js3tcAqrMzjcHtYdLOOjbbneJIsAWo3E0JgArhgdy9wR0W3+nh5ZYeneAv616hC5lY3JI4PM3D8zmctHxhw/akz2qIJp3YtQcUhtMwWqFqbxnRNMVfYq/pfxPz4+8DF1jVOOET4R2Nw26px1PJVyJ1cufQJF0jJZfotCh4k3rx/NrCEdR2+K/509y7k4nmeMUDrXEULp7OJUj+eu3Cru/WQ3+VUNaDUSD16YzJ3T+nU+XFlR1Gm4/UvU6DXfcPALhz4Tu5wgsj3cHpnFm7N5+adDWB3NOXguHhbFY3MGHtc36FSOpcPt4c11R/hga47XOmLQapg7Ipr/d/EgAn26OXUme1TxsuL/tc5cHTlMLQA85uZuFTL2Up2nWo52vd+6wLDWqFqORi9SM2RLUrfH0+7ysGxvIR//kktqfg3uxihESYKp/cO4bkI8U/qHYtKfePrX6Zb5fEce//75EKWN45wU7scfLkxmztDI4/uiyR7Vt2r9i1CeqbaZAlUL0/g7wHTiosP1rnq+OPgFH+z/gLIGdbyGhw3nHb8RGFf/hYqISYzO+R2xQWY2PHL+cc9H/O/sWc7F8RRC6RQhhNLZxekYz1q7iye/SfM6nk5NDuPtG8ac9mrl245U8PSSdA6WqL/gh8cFcvXYOEbEBTIo6sT38ukYS6dbZnlaEYs3Z3sjnaIDTDz+m0HMHhLZ/TF11MGB71XLSNbq5sSN/rGq8/egSzvv/F2wUy0wXLhHranWVBLFEqXWqOt3vupTdoylpavjWVjdwEdbc/h0ex6V9c1140L9jCwYHcO14+LpE9IFJ/gWNDg9fLAlm9fXZVFtUyMcU2ICeHj2AKb0Dz2xYEr/RrUwlR9U20wBMOEemHBnpwST0+NkadZSDlcf5o5hdxD04UIo2MHS2D9w7+HR3DAxnj/PPf4PBfG/s2c5F8dTCKVThBBKZxenazwVReGrXQU8vSQNm9PDrecl8uQlg0/5eRTVNPCPlZnsyqnyOmkH+eh5dM5ArhwTd+ISLC043ffmzpxKHvpiH0cbryPUz8jVY+P47fg+3XP6bqK+AjKWwMZ/QXWu2qY1QL8Zal6mARe1nU7yuNSpta3/bV2PDtQcTuNugwG/Oa4PVGfGM6eing+25LDxUDmHSutoNB4RE2jmugnxXDo8iphA80lFIbak1u7i7Q1HeWfDEeqdasb18YnBPDJnAKPjTzDl26Fgulutz9dZ4VlTAP8ajILEXOPb7Ksx8+6iMVww8PiRyaf7/jzXOBfHUwilU4QQSmcXp3s8V6YXc/uHavK8R+YM4PYpp6aCuSwr/O+XXF5YfsA7xSZJ8NtxfXh41gCCfLs+dXW6xxLA6nDz5vojfPpLrneqSCPBxcOi+fNlQ7p1XV6cNtj2Ouz7AsoymtsNfqrzd0g/KD+sOobnbmn2ddLoYeh8tXRIZAoEdi47eEfjqSgK27OreGfjEVbuL6Hlf+sJfYNZNCmRmYPCe/U+qrA6eG1tFh9uzcHpVi1kFwwM56FZAxgcfYL/e7IH9n+rCqYmJ3pjAEy4S11OJJi2vQnLH6YhciyDsh/AoNOw9+lZJ0wDcCbcn+cS5+J4CqF0ihBC6eziTBjP537I8NY6Gx4bwIsLhzMgsveqmR8utfL41/vYnq2WWRkRF8h9M/szJNqfcIvpBFt3zJkwlk24PDKr9pfw0dYcb42vCH8jd0ztx/xRMd33YWqiNEO1jqR91RzhdSy+YWp04pibu1W3r+V4KorCtqOVrEgvZuuRSjKKmjMITx8QxtVj4xjZJ6hNSHxvU1jdwH9WH+LzHfnejOyXDo/mwQuTSQw9fi04ZLmFYGoUnp0RTIsvgewNbEl6kN+mjWFachjv3zzuhOd6Jt2f5wLn4ngKoXSKEELp7OJMGE9FUfhyZz5//m4/dXY3eq3E7y/oz13T+3Uv7L0d7C4Pr6w+zJqDpWSW1OHyKPgYtDw8ewA3TEzokdpXZ8JYtkdqfg33fbabI2XqlJxBp+HilCiuHhvHuMTgk5uWkmU103fGUmioUsuHhA1QfY4Sp4Cu+1n7U1NTGTxkKCvTi/nvuiz2Nkb5ARh1GuaPiuWW8xJICu89Ud1ZjpbX869VmV6/O61G4soxsfz+gv5En2jaU5bVqc11LzbnATP6txBMLSJD6yvg70mgyNwb/j5Lc/X86dLBLJqceMJzPFPvz7OVc3E8hVA6RQihdHZxJo1nSa2d//dNKj9lqEkGJyeFsPimcSctlvblV/Pg53tbJRaclhzGs5cPJTaoe8697XEmjeWxNDg9fLEzj4+35XKguDnD9biEYP5x5fCuZfruZWRZYV9BDcu2pLM61+X1uTLqNMwbEcP4vsFMHxBO8MlMI/YS+wtr+cfKg/x8QL2HDToN10+I5+7p/QjxO4FolGVVcK57UXV6B1Uwjb9TFUw+wbDrA1j6ezwRKQzIewK3rLD2oekknMh6xZl9f56NnIvjKYTSKUIIpbOLM208mzJRP/F1KvVODzdPTuTpS7vn5O3yyLyy+jCvrDmMR1YIsxh5/KKBjOwTREKIT485+DZxpo1leyiKwt78Gj79JZclewppcHkw67VcOjyKK8fEMTo+qMfHpbO4PTLL9hXy2posbxZygACznhsnxnPDpARCTyQ2zhB25lTy4o8H2XZUTbHga9Byy3mJ3Dq174kTrcoyHFimCqaSxvpsBosaIXdoJRTtJXPIfczaOZ6+ob6sfmh6p87pbLg/zybOxfHsyvO7y7XeBAJBzyBJEnNHxGDSa7njw528u+kohdUNPHVp58t17Mqt4ptdBfxytNIb6n/JsCj+MnfoyTkznwNIksSIuEBGxAVy9/QkHvx8Dztyqvh8Rz6f78inb6gvV4yJ49oJfbqWOf0kcLg9fLWzgP+uy/Imd/Qz6hgQouOS0X25ckwcvsaz69/y6PhgPr19AhsOlfPSioOkFtTw79WH+WBrDndN68cNExM6dr7WaNScUgMvhQPfwboXVMG0/iV1vSmQL9zTADvTB4SfsmsSCFoiLEongbAonV2cyeP55vosXvjxIB5ZwaTX8PsL+nPrlMQO68R5ZIVX1xzm5Z8yvWHiAWY9f5k3lMuGd1BItwc5k8eyIxRFUYXS9jy+Ty3C1hjyHh1g4tnLU5iWHNalFAmdRZYVlqcVs3jzUfbm13gjx4J9DdxyXiLXT4wn59CBs24820NRFFakF/P3lZne6d9wi5Hfz+jPVWPiTpzrSpbh4PeqYCo/hHLlB0z4UktJrYMPbh7H1OTO1bw7G+/PM5lzcTyFRUkgOMu4fWo/piaH8fSSdH45WslLKw7y1c58Xr56BMNiA1v1La6xc/9nu9l6RJ3quHhYFNOSwzh/QHj3ynr8SpAkibEJwYxNCOaPlw3hh31FvLr2MDkVNm5avJ3YIDPzR8Ywf1Rsp/xgTkSTQPq/nzO9tdQAogJM3DqlL78dF3f8ArRnIZIkMWdoFBcOjuSb3QX8a1UmBdUNPPVtGm+tP8IDF/bnsuHHKYui0agJPgdeAh4nGaUOSmo3YNZrGZd48uV6BILucG59SwWCs5iBkf58dvsEluwp5NkfMjhSXs9N723nszsmEhVgIq/KRlpBLc9+v58qmwsfg5a/zhvK/FGxp/vUzzr8jDquHBvHxcOi+MfKTL7YkUd+VQP/Xn2Yf68+zNiEIP7fxYMZERfY5X3vzatmc1YF3+zO9woki0nHzZMTmTcypld8xs40tBqJhaNjuXR4FJ9tz+PfPx8mt9LGA5/t5fW1Wfxh1gBmDY7oeBwkCXRG1hzMA9Rgh86UYREIegMhlASCMwhJkpg3MoYLBoVzzVtbSSuoZeY/17XpNyTan//8diR9w06iFpkAX6OOpy8dzCNzBrAivZivdxWw4VAZ27OrWPD6Zq4aG8fC0bGMjAs8objZk1fN31ccZOPhcm+bxaTjlvMSuWlyIgHmU+MHdSZh1Gm5YWICC0fHsnhzNv9dm0VmiZU7PtzJ8LhAHpk9gMlJoR1uv/agGlEn/JMEpxMhlASCMxB/k563bxjLI1/t81aCDzDr6RPsw7TkMH4/I6lD/yVB1zHptcwdEcPcETGU1Np59vsMlu4t5ONtuXy8LZf4EB/mjYhh/qgY4kNaT8sdKK7lHyszWbW/BAC9VmLGwAjGJgazcHTsr1IgHYuPQcfd05O4dnw8b60/wjsbj7I3r5pr397GpH4hPDR7AKP6BLXapsbmYmeOmih1+oDO+SYJBL2BEEoCwRlKZICJD24eR7nVgV6rEQ/cU0SEv4l//3YkV4+N48ud+fyYXkxOhY3/+/kQr6w5zA0T40kI8WVffg178qrIakxuqZFgwahY7p3R/4zK1XQmEWDW89DsAdw4KYFX1xzm4225bM6qYP5rm7lwcAR/mJXMwEjVsXb9oTJkBZIj/Ho0B5hA0FWEUBIIznDOlnw65xqTkkKZlBTKX51uVu0v4cud+Ww4VM57m7Lb9L14WBQPzEwmKVxMhXaGMIuRP102hFunJPLvnw/x5c58Vu0v4aeMEuYOj+aBC5P5Ma0YgPPFtJvgNCOEkkAgEBwHH4POOy330/4Svk8torbBxZBof0b0CWREXNAZmTn7bCA2yIcXFw7n9qn9+NeqTL5PLeLbPYV8t68Id2Pei4uHRZ3msxT82hFCSSAQCDrJzMERzBzc9aK3guOTFO7Hq9eO4q6CGv6+8iBrD6p+eTdNTmiTHkMgONUIoSQQCASCM4KhMQEsvmkc27MrOVBUy5Vj4073KQkEQigJBAKB4MyiKTGoQHAmcHKlygUCgUAgEAjOYYRQEggEAoFAIOgAIZQEAoFAIBAIOkAIJYFAIBAIBIIOEM7cJ4GiqHk+amtre2X/Vqu11/b9a0SMZ88hxrJnEePZs4jx7FnOxfFsup6m5/jxEELpJKirqwMgLk6EsAoEAoFAcLZRV1dHQEDAcftISmfklKBdZFmmsLAQi8VywsriXaW2tpa4uDjy8vLw9/fv0X3/GhHj2XOIsexZxHj2LGI8e5ZzdTwVRaGuro7o6Gg0muN7IQmL0kmg0WiIjY3t1WP4+/ufUzfn6UaMZ88hxrJnEePZs4jx7FnOxfE8kSWpCeHMLRAIBAKBQNABQigJBAKBQCAQdIAQSmcoRqORP/7xjxiNxtN9KucEYjx7DjGWPYsYz55FjGfPIsZTOHMLBAKBQCAQdIiwKAkEAoFAIBB0gBBKAoFAIBAIBB0ghJJAIBAIBAJBBwihJBAIBAKBQNABQigJBAKBQCAQdIAQSgKBQCAQCAQdIISSQCAQCAQCQQcIoSQQCAQCgUDQAUIoCQQCgUAgEHSAEEoCgUAgEAgEHSCEkkAgEAgEAkEHCKEkEAgEAoFA0AFCKAkEAoFAIBB0gBBKAoFAIBAIBB0ghJJAIBAIBAJBBwihJBAIBAKBQNABQigJBAKBQCAQdIAQSgKBQCAQCAQdIISSQCAQCAQCQQcIoSQQCAQCgUDQAUIoCQQCgUAgEHSAEEoCgUAgEAgEHSCEkkAgEAgEAkEHCKEkEAgEAoFA0AFCKAkEAoFAIBB0gBBKAoFAIBAIBB2g6+0DvPbaa7z00ksUFRUxZMgQXn75ZaZMmdJh/3Xr1vHggw+Snp5OdHQ0jzzyCHfeeWerPl999RVPPfUUWVlZ9OvXj2effZbLL7+8S8ddtGgR77//fqttxo8fz9atWzt9bbIsU1hYiMViQZKkTm8nEAgEAoHg9KEoCnV1dURHR6PRnMBmpPQin376qaLX65W33npL2b9/v3Lfffcpvr6+Sk5OTrv9jxw5ovj4+Cj33Xefsn//fuWtt95S9Hq98uWXX3r7bN68WdFqtcpzzz2nZGRkKM8995yi0+mUrVu3dum4N954ozJnzhylqKjIu1RUVHTp+vLy8hRALGIRi1jEIhaxnIVLXl7eCZ/1kqIoCr3E+PHjGTVqFK+//rq3bdCgQcybN4/nn3++Tf9HH32UpUuXkpGR4W2788472bt3L1u2bAHgqquuora2luXLl3v7zJkzh6CgID755JNOH3fRokVUV1fz7bffdvv6ampqCAwMJC8vD39//27vpyPS09MZMmRIj+/314oYz55DjGXPIsazZxHj2bOci+NZW1tLXFwc1dXVBAQEHLdvr029OZ1Odu7cyWOPPdaqfdasWWzevLndbbZs2cKsWbNatc2ePZt33nkHl8uFXq9ny5YtPPDAA236vPzyy10+7tq1awkPDycwMJBp06bx7LPPEh4e3uE1ORwOHA6H93NdXR0A/v7+vSKU/Pz8emW/v1bEePYcYix7FjGePYsYz57lXB7PzrjN9JpQKi8vx+PxEBER0ao9IiKC4uLidrcpLi5ut7/b7aa8vJyoqKgO+zTts7PHveiii7jiiiuIj4/n6NGjPPXUU1xwwQXs3LkTo9HY7vk9//zzPPPMM23a09PT8fPz62Akuk9tbS2pqak9vt9fK2I8ew4xlj2LGM+eRYxnz3IujqfVau1031535j5WrSmKclwF117/Y9s7s88T9bnqqqu874cOHcqYMWOIj4/n+++/Z/78+e2e2+OPP86DDz7o/dxkuhsyZEivqO3U1FRSUlJ6fL+/VsR49hxiLHsWMZ49ixjPnuVcHM/a2tpO9+01oRQaGopWq21jPSotLW1j7WkiMjKy3f46nY6QkJDj9mnaZ3eOCxAVFUV8fDyHDh3qsI/RaOzQ2iQQCAQCgeDco9fyKBkMBkaPHs2qVatata9atYpJkya1u83EiRPb9F+5ciVjxoxBr9cft0/TPrtzXICKigry8vKIiorq3AUKBAKB4NRir4E1z8Gy+2HHe1C4B9zO031WgnOcXp16e/DBB7n++usZM2YMEydO5M033yQ3N9ebF+nxxx+noKCADz74AFAj3F555RUefPBBbrvtNrZs2cI777zjjWYDuO+++5g6dSovvPACc+fOZcmSJfz0009s3Lix08e1Wq386U9/YsGCBURFRZGdnc0TTzxBaGhom3xMAoFAIDgDsFXCW+dDVXbrdq0BIoZA9MjmRXafllMUnJv0qlC66qqrqKio4M9//jNFRUUMHTqUH374gfj4eACKiorIzc319k9MTOSHH37ggQce4NVXXyU6Opp///vfLFiwwNtn0qRJfPrppzz55JM89dRT9OvXj88++4zx48d3+rharZbU1FQ++OADqquriYqK4vzzz+ezzz7DYrH05pAIBAKBoDv88LAqkvxjYejlUJwKhbtVK1PhbnVpZIjGAL8May2eQpNB2+tuuYJzkF7No3SuU1tbS0BAADU1NcKZ+yxAjGfPIcayZxHjeQLSvoIvbwZJC7esgtjRaruiqOKpSSgV7oaiveBox1FX7wORwyB6RLN4CkkCjfZUXslZybl4f3bl+S3ktUAgEAjOXGqL4LvGaOOpDzWLJABJguBEdRnaGK0syxzc+iMDLLbW4slphbyt6tKEwQ+ihkPUiGbxFNwXTlTSQvCrQgglgUAgEJyZKAosuQfs1aqYmfrwibfRaHBa4iAlBVIWqm2yDBWHW1ueivep4ilnk7o0YfRXxVP0yGbrU1CiKsoEv0qEUBIIBALBmcmOdyHrZ9AaYf6boNV3bz8aDYQlq8vwxhx6sgfKM48RT6nqtF32BnVpwhTYLJqarE+BfYR4+pUghJJAIBAIzjwqsmDlk+r7mX+CsAE9u3+NFsIHqcuIa9Q2jwvKDrYWTyVpqkXryFp1acIc3MJZfIT66h8jxNM5iBBKAoFA8GtBUaA6V7WWHFkLtYXgagBJ0/iAl5rfS5rGz9Ixn49d3/IzJ9hXJ/eNBAeXg8sGCVNg/J2nZny0eogcqi6jrlfb3E4oyzhGPO2HhkrV2pX1c/P2vmGtI+2iRoC/yM13tiOEkkAgEJyrKAoU7ISj6yB/h7rUl57us+o8wf3g8v+eXudqnaHR4Xs4jF6ktrkdUJLeQjztgdL9UF8Gh1aqSxN+ka3FU/QI8Ou4+LrgzEMIJYFAIDhX8LjUqaK87ZD/C+RshtqC1n00OjVMvv8s1WdH7wsoqqhS5Mb38jGfO1jfbl+5uX+H++pEX3MQjLoBjD1fcPyk0RkhZpS6NOFqOEY87YayA2Athszl6tKEf0zrKbuokeAbcsovQ9A5hFASCASCs5WmPEK5WyBjmTqd5rK17mPwg34XQJ8JEDMGooaB3nw6zvbcRm+G2DHq0oSzHorTWoun8kxVvNYWwIHvmvsG9Gmd4yl6hCoWBacdIZQEAoHgbKIiS/Xfyd0Ceb+0nUozBUDsWIgdB3Fjoc9EIYxOFwZf6DNeXZpw1EHRPija0yyeKg5DTa66ZCxt7huUcIzP03D17ys4pQihJBAIBGcqigLVOZC7TRVGuVvU6ZyWaPSq9aHv+TB4LoQPFgkTz2SMFkiYrC5N2GvUpJiFe5rFU9VR1VpYlQ3p3zT3De53jHgapu5T0GsIoSQQCARnEs56yN8OmStg/1KozW+9XtJC4lToOx3ixqsPS73ptJzqqWbbkQre35JNtc1Fn2Af+oT4qK/BPsQH+xLg0808S6cbU4D6N02c2txmq1TFU0vLU3UuVGapS9qXjR0lCO3fWjxFpqjWLEGPIISSQCAQnE7cTixFW6DwU9ViVLQXZHfzeo1ODTPvM6FxmfSrdPz95JdcnvgmlabqpJuzKtr08TfpiA/xxV/rIiX/APEthFRUgAmd9iyytPkEQ7/z1aWJ+goo2t3C8rRHFdLlmeqy7zO1n6SB0AHHiKehYgq2mwihJBAIBKcS2aNGR+VsVktnHF1Pgr26dR//WEg4T51K6zsdDD6n40zPGN7ZeJS/fLcfgLkjopncL5TCmgZyK2zkVqpLaZ2DWrub1IIaADblZrXah04jERNk9gqnPsE+xIf4ENf43mI6C6xRviGQNFNdmrCWqoKppeWprkjN/VSWAXs/VvtJjQk2WzqMRwxVI/gEx0UIJYFAIOhtbJVwdD2kfw1Za8FR02q1yxSCfvAlED8Z4ieq5TEEKIrCK6sP849VmQDcMa0vj80ZiNRO9usGp4e8Khu5FTa2ph/GbQwkp6Ke3EobeVUNON0yORU2cipsbbYFCPY1eEVTfJOYarRIRfqb0GjO0IzbfuGQPEtdmqgtaiGc9kDhLjXHU0mauuz+SO2n0TeKpxaWp/DBau4ogRchlAQCgaCnsdfAkXWQvVG1GpWkA0rzeoNFjYSKnwzxkzlQbSRl2IjTdbZnJIqi8LcfD/DGuiMA/OHCZH53QVK7IgnAbNCSHGEhOcJChKeUlJQh3nWyrFBSZ29lgcqtVEVTXqWNinonlY3L3rzqNvs2aDXEBre2RqkWKV/igs34GM6wR6l/lLoMuEj9rChqFvYmi1OTiLJVqMWBi/fBrvfVvloDRAxpLZ5aTgWfQopr7DyzLJ1H5gwkMfT0+VydYX9dgUAgOAuRZTUzc/ZG1XJ0+CfwOFr3CemvPrgGz1PDvLUt/v3WpPb6Kbo9MkU1dvIqW4sFm9ODBEiShCSBRgIJCY1GfVWrjEhINK5r7CchNX4GTWMbx7a12m/TZ/U9Ldo03n0299+bV82ag2UAPHnxIG6d0rfb167RSEQFmIkKMDO+b1v/LqvD7RVReZU2cirrya1sILeinvyqBpwemSNl9Rwpq293/6F+Rq8/VFyTRarxc7jF2KG4O2VIEgTEqMugS9Q2RYGavNbZxQt3q3XtmtoaGaIxwC/DWounsIG9Hl35/PIMlqcVU1nv5LM7JvbqsY6HEEoCgUDQHRx1cOB7NdFjziZoqGq9PiRJ9S9qtBphiTglp1Vnd3mnmI6UWdmbX01miZWC6gY8snLiHZxBaCR49vIUfjuud6ci/Yw6Bkf7Mzjav806j6xQdIw/VE6ToKqwUdPgotzqoNzqYGdOVZvtTXoNcUGt/aGaRFVskA8mvbZXr61DJEmd4g3so/rCQXMC01aWpz1oHLVQsENdmogZDQvegeDEXjm9HdmVLNlTiFFy8dQlg3vlGJ1FCCWBQCA4EW6nOk1hq1Cn0Q7+AJk/gtve3Efvq0alJUxWy4NEDO21SvKKolBlc3G0vJ7s8nqOltezN7+a/YW1VNQ7O9zOoNMQF2T2PrDjgnzwN+vUqiGArCiNFUUU9bOsviqKuo4WfWQFFFr0b9EmN27Uss+x/eWmaibHtjVubzHquGJMHEnhp7eEiVYjERukippJ7ayvsbnIq1JFU7OlTvWNKqy2Y3fJHCq1cqjU2u7+I/1NbVIdNL0P8TWcWmuUJKnCJzgRhs5X22SZg1t/ZIDF1mx5KtipLu9fCrevBd/QHj+V/23LZYiUzce+/ySg5l8Qc1mPH6OzCKEkEAh+XSgKeJzgsKrTDFVH1cghRx04atXX+go1W7K1WHXEdtS2v6+QJBi6UI1Cih6hVp/vYaptTo6Uq9M+R8utpBbUsjevmpoGV4fbhPoZ6BPsQ0KIL0NiAhga7U98iC/hFuOZ65R8lhLgoyfAJ4ChMW0zZrs8MoXVDa38oZre51basDrcFNfaKa6180t2ZZvtfQ1ar6htGaUXH+JLTKAZg+4UpDvQaHBa4iAlBVIWqm01+fD+ZWo+py8WwfXftp5KPkkcbg/r9ufzP/3rBLjLIfULGCyEkkAgEHQNt0P9h+2sVy07rgZ1qStqbnfVg9Omvq/OVetrOa3dc06VtGpum4DY5izYUcN7zGrk8sjkVNSTWWLlUImV1IIa9uRVUW7t2EIUFWAiIcSXhFBfBkVZGBEXSGKo79kR6v4rQK/VEB/iS3yIL1P6t17XZBX0WqEaI/TU9zaKau3UOz0cKK7jQHFdm31rJIgKMLexQjUJqgCzvvesUQGxcPXH8PYMyN4Aq56COc/32O43ZJZzuXs5g/R5HLKE0f+Sf/XYvruDEEoCgeDU4bKrYqUmT53GkmVQPGq1eLdDjcyxV4PHBbILPG5V2NTkqZYet1MVRR6n+rllJFl30JkhKF6t5m7yV0tBGP3BFKhOPwTEgU+IKpBMgT3ivOr2yGRX2DhUUqeKotI6UnPKKfw0D5en/euJCjCRGOpLYqgvyREWRscH0S/MD7PhNPm3CE4aSZII9jUQ7GtgRFxgm/UOt4f8qoZmB/OWzuYVNhpcHgqqGyiobmDLkbbJNy0mXZtcUfHBvvQJ9iE6sAeSb4YPhMv/C59dB1tfU380DL/65PbZyPf7Crlbu4YffX14ONTMrQf/x70j7z1tTvFCKAkEgt6jvkJ1dM7ZpEaEHRsmf7LozGr5B71Jfa83gU+oKn6M/mqiRr2v+mqJhsA4VQwZ/NQSD70wVdaSBqeHQ6WqRSCjqJadOVUcKKrD6ZHb7e9j0NI/3I+kcAsDIy2Mig9iUJTlzAs/F/Q6Rp2WfmF+9Atr66OlKArlVqfXFyq3ooGcynqviCqtc1Bnd5NeWEt6YdtpY61GIibQ3NY3qvGzf2ctkoMuhakPw/qXYNl9aiRc9IiTum6H20NJxia0xhKeDo0EQFbk0xo5KL59AoGg53DWw+GfVVGUvRFK09v20fuolhrfMNBo1UXSqMnv/KNUC45Gr/o8aPRq2YWAWDAHqTledEbQGlULkG9YrzlMdwXVSlTPgeI6MhunSjJL6siptHlLbrTErNfSP8KP/uEWkiP80DdUcOG4ocQEmoUPkeCESJJEmMVImMXI6PjgNusbnB7y2ziYNy9Ot+x9z+G2+w/00RPflOogxAeNzUqdTznxIb5E+pvQtrxHpz8BRfvg0ArVunSSzt0bMsu52LOa1wIDsEsStxyJ556r7+z2/noCIZQEAkH3kT1qpt+czaowyloNrmMyH4cNUstxJJynRoX5RZwR4uZkKK6xsz27kl+OVrIzp4rDpdYOrUQhvgYGRKqJEEf2CWRkXBCxQa0FUWqqjbjgX3eZEkHPYTZo6R9hoX+Epc06WVYorXM0OpXXNzuYN07rlVudVNtcVNtq2JvfnEH+P9u2AaDXqlGA0weEcde0foT7m2D+m/DWBT3i3L1qbza3GLbxkk8gi1bJzN6ZRUnlI8T8+99i6k0gEJwl2CoJzF0Bac9B9qY25TgISoCkC1VhFD8Z/MJOy2keD1lWsLk8WO1urA4XtXY3VrubOrubOrsLq8PtbbM61M91djdWh5uCqgZK6xxt9unTmBl6QISFAZHNS6ifqKXVExyob+Dd/HL21tmodHmwaDUE6LUE6LQE6HQE6rTez3V2mZKKWrVNpyWwsd3QywkSzwY0GonIABORASbGJba1RtU73K2cynMrbaTnlFDl0pJfZcPlUTjamJJi6Z5CXr9utLqfHnDudrg9cOA7lgXrmL4XLtqpgCRhmTVbTL0JBIIzGGuZ+s8vZ7O6lKYT13K9waJaiuInQd9pED2qxy1GHlnB7vLg8sg43TJOj0yd3U1pnYMGpwenR8bhUl+rbS7K6hzYXR4cbhm7y4Pd5aHc6qTc6lDFj9Pd7pRYZ9FIMDjan3EJIYxNCGJoTICYNusFFEVhQ5WV1/NKWVPZNvLruOw70qbJrNF4RVNLYRWo06mCyyu8mtbrvGLLdLLOz2cJvkYdg6L8GRTVnHwzNVUhJSUFj6xQXGtnf2Et/1h5kAPFdVz79laeuWwo14w/eefujYfKman8zLNGX57fIOPWmsid9yf6TLmwpy+zSwihJBAIWuN2qInlcjZB1hr1VWk9rWS3JGAadTUkz4bIYSc0syuKQkW9kyNl9WSVWcmttFFtcyHLCm5ZQVYUnB6Z8kYnVLcs4/YouGSZBqdMRb3jpIRNR2g1En5GHX5GHRaTDn+THj+T+l5t07d4r76G+BkYFOV/xjtYu2UFq8dDnUfG6vZgbfFa5/FQ71ZfrW4Zq8eDR1G8JUWgRXkRGsuO0LhOamxrKlfSom9TiRJ1u8bSJbQohULr/hpvW/P6pnU1Lg9Ly6pIt6pJPSXgN2EBzI8IIsKgp94jU+12U+PyUOP2UO32UOPyUO12U1Bdg8doVtvcHmrdHhSgQZZpcMgUOTrOQdURJo3UbL1qKahaii29KrD8W63TYdZIp7+MSQ/Q5AQeE2hmclIID3+5j+/3FfHEN6nsL6rhj5dejP4knLs379xNYkAuU3cHYHb5s2v8A1grLKx4O43L/zBKTL0JBILThKJA+SHIWKIKo/wdbeuURaSoGafjJ0OfiRw6WkxKSkqbXcmywtGKeg6XWskqs3qF0ZGy+uMmSOwKkqQWKfUxaInwN+Fj0GLUaTHoNBh0GgLMesItRm+7Ua/BqNMQ4qs6v1pMOlUMGfWY9Joz/gHmkGWqXR6q3G6qXR7v+yqXh2qXm2q3hyqXh1Kni1Knizq3TL3HQ8NZVq6kI8waDb+NCub2uDASzJ2bxkxNTSUlZYD3s6wo1LqPFVQeahrHtO06NzWN72vcHmTALivYnW5KnF3PwWWQJK+I6orYCtRp8dGemfeoj0HHK78dyeAof/6+8iAfbc0ls8TK69f8gZCivXBoZZecux1uD4GHv+SbED8e2yqzf+D1WA1hmP11TLkyWUy9CQSCU4jsUauF526F3C3qq7WkdR+fUIifqAqjARepfketKKbW7uJQiZXDpXUcbizRsDevmipb+4JIkiA2yEzfUD8SQ30J8jGg00poNRJaSUKnlQj1M+Jv1qPXSOi0GnRaCaNOowocox69Vjr5/C+nGbtHptLlblw8VLjcpDXILD9aRKXLQ6XLTYXTTZnTTYHDSX0HTuKdxaiR8NVqsGi1+Ok0+Gm16qLT4KfV4KfT4qfVoJOkxjImjWVFoHVpE0CmueyIDKCA3NhXbuzb1J8W+5Jb7qupZEljX0VpXN/iOIoCJq2GUf4+LIgIIkh/co8qjSQRqNcRqNcR38VtZUXB6pGpdjWKJ7cqVpuFldtruWopwJr6ehRwKgpljX/TrqKXJK9oCtC3Py3YUoQF6nXePr69LLIkSeKe85MYEGHh/s/28MvRSi57dQtvX/UPBlXMa+Hc/c0JU3FszCwl3LSeMTt11AZNoCp4EFCC4liH3RoEtP1hdqoQQkkgONeRZbUcR942VRQdWgH1Za37aA2QMEWtLJ4wRS3N0fgPVpYV8itsHC6r41CJKoh2ZJWQU5Pb7nSYSa8hKdzPmwOmX5gffcPUZImnrQBoL2P3yFS43JS73JQ73ZQ5XZQ7mz9XuNSHZL7dSbXb0/5O6kvab0edvgrUqxaHwMaHYlDjgzJQr74PM+iIMOjxbxQ+TQJIODCfHJpGoeKv6/q9qyhK4xRhk8Byt7JcnUhsuRVwKQoVLvUeoqFrx9dJeKcBj3V4P1ZstbZw6fDTatB0UmTNHBzBt/dM4tb3d5BdYWP+u/v57+z/Y9r6q1X/xhVPwEUvHtd38cC2HzmgU7h+nz+7R83H7UjD3bAKu6Kw6bMPufqZF7t28T2IEEoCwbmGokDlETVU/9AqyP+lbWV7Y4DqgN1nAvSZCNEjQW+ipsGlTptl55NVaiWjuI7dOVXUOdr/JRwVYCIp3M+7DIryZ2h0wKmpQdVDyIpCg0fGoSg4ZBmnrGCXFZyyjENW2xyyglNWqPN4KHG4KHW6ybM7yWlwkGd3UtdFq49OgmC9zrtobVb6hoYQrNcRYlDbQvU6ok16wvQ6LDptpx9agjMHSZJUwarTEtvFbRVFwdZKZLW2VDVZtY5d1yTCnIqCW6HRSukBOi6F0x4a8FqrDC4PUXuyVMtWo1BP8jFxfrCFcKNqKUoKt7DknvP43Se72HConBu/q+XlYU8xL/NR+OVN1Uo9/dF2j+Vwe9AUfUJSqp4jfX+LQynFbVsFKAyeeAHTbri5i6PXswihJBCc7ThtkLsZ8rZDwQ61qvexwkhnhphREDcOEqdij5lEdnWjc/VhK4c2Z7Art4r8qvZ/shp0GvqG+tI/wkJSmB8mRyXzp44gzNLzoe9uWcGhqILFJSs0yDJVLg82j6wKGUVpFC7NQsYpq20ORcbqVp18W4qclv3sLfrbZZmaRkffk0UvSYQaVIETatAR0vja8nOsyUC0UbX6tJwSSU1NJWVA3HH2Lvi1IUkSvjotvjotMV3cVlEUGmTF64N1rKBqa9Fq6qOKLbusTodWuT1UNVpAM6vaRh1qJZge5M+VUUHMDgkgwEfPe4vG8uKKg7y5/gj374vDHn0XV1e+DmufU5PHTr63zX627M+mXD7CxKJJZCRF4qr7FIPGyJQhVxFWFYN80AYTA7s+iD2EEEoCwdmE7FGn0Qr3QNEe9bVwl1r/rCVaI8SMxpU0ixz/0aR54sgsc5BZYOXQ7jpyK3/uMIos0r/ZStQv3I9RfQIZEGFp5RuUmpraoUhSFIU6j0yZ0+X1yyh2uChwOClxuKh0eahyuanzeLyCxanIuBrfn5xHzsmhlcCo0WCUJIwaDQaNhFGjvm/y9Qk36Ak36Ik16Yk3G4kzGYgw6NqIH4HgdCFJEj5aCR+tgahu/Jaxe+RW04J7s44QGBPrFVuVLje7am3sqbPxc2UtP1fWEqDTMjc8kKsig3n8ooEMjLTw2NepPFY4hXr/Wm5x/k/NryS7YcqDrY53aNPbRO4J4VDiRTit3xBkCGZq7JWYrD4oeLBnVuE3MbqHRqfrCKEkEJzJKAqUZ8KRtXBknZr9+tgEj4DHL5rK8PHkmAayR0liS30UmeUO8g81oCh1wP422/ibdPRt4UM0LDaA4XGBHdZ58igKlY0+N9udCjsKyil1qJFWTYKozKX65th7KOJKAkwaDUF61THV0ChaDFKzeDFoJEyNosagUR2UA3RazNrG9ZKmUew0b9PyNVCnxVenwShp0Ik8SAIBJq0Gk1ZDROO0mtkgkRLZNjnlYZudL4qr+LK4kgKHiw8KK/igsIIkHyNXRgbz2k1jeOrzffyl5mJqdQ4e0H0JPz+j/uCb9jAAdQ1OqguWEadcR6FjBYm+fRkdOgutokUTZMQ9PRBt8ulNWtvrQum1117jpZdeoqioiCFDhvDyyy8zZcqUDvuvW7eOBx98kPT0dKKjo3nkkUe4887WdV6++uornnrqKbKysujXrx/PPvssl19+eZeOqygKzzzzDG+++SZVVVWMHz+eV199lSFDhvTsAAgEnUFR1MizsoOqMGpaSvZDfWmrrm6tmRKf/hzS9mOXK4F11jj2lkdAecuHfLX3XaCPnuRwC/0j/EiOUF+Twv0Ia8wYXeP2UO5SHY2/q6r1RlyVu5qdksucapRWK2tPbf5xL0m1vugIM+iJMOiJNumJMugJNugIanSONXoFjuQVP03vDRoNOglhpREIzlCSfEw83jeKRxMj2VRl5bPiSr4vq+awzcFzR4qQgIkzYonaX83/HZiPS9HwiP5zWPNX1bI0/THWrPuaqPThlPrmMTZgHImWFColK4dCyznsKqRheQPn1Z3HzJkzT9t19qpQ+uyzz7j//vt57bXXmDx5Mm+88QYXXXQR+/fvp0+fPm36Hz16lN/85jfcdtttfPTRR2zatIm7776bsLAwFixYAMCWLVu46qqr+Mtf/sLll1/ON998w5VXXsnGjRsZP358p4/74osv8s9//pPFixeTnJzMX//6Vy688EIOHjyIxdK2Po5AcNIoCtQVQ/lBqMlvXPKgOk+tl2araHczp2QgVTOQnxyD2eQZQrqSgKe+dQSOJEFMoJmEUF+iQ3wIDTITEGjEbDHg0EvesPMNLjdLaqupqCj3hqh7umD8kYAgvRZ/2cOAIH+ijAbCGiOuwg16wgyqP06YQY/PWR7GLxAIOodGkpgSbGFKsIW/uWNZVlbNZ0WVbK2pZ3N9A8QbMfuE8HbGQtxOLU/oP4F1f8PpcpL7wyb8/McwPXQMpSYnS7TbKdPUQqNLlF6vx+3uelqFnkRSlN7Id6syfvx4Ro0axeuvv+5tGzRoEPPmzeP559vWgXn00UdZunQpGRkZ3rY777yTvXv3smXLFgCuuuoqamtrWb58ubfPnDlzCAoK4pNPPunUcRVFITo6mvvvv59HH1W98B0OBxEREbzwwgvccccdnbq+2tpaAgICqKmpwd/f/8QbdJL333yR6ppsFOWsrx165qBoUNATHZXIlBmXERUV3zOD63ZCXRE0VIK9Fhy16mt9KXLFUdy1RcjWMjT1ZWgbytF67B3uyqNI5CrhHFZiyFKi1UWOJl1JwIEBAB8fHf4BJgwWPVpfPYqPDodZS4NRolqWuz3l5avVEGM0EGNS/W9CDTrC9M2ip+lzsF6HTiM1JvQ7fXlNTieKIqMoLmTZjaKoCzRlXta0eC8hSepn0DTebppW7U3Wsl/zePYGYjx7lu6OZ06Dgy+Kq/i8uJJcuxNcMrqDNdxR/CVP6T8CYI08lWLDeIoM5ShaFxqNB51OJi4uksTEGIJDLPj59ScocGyPXlNXnt+9ZlFyOp3s3LmTxx57rFX7rFmz2Lx5c7vbbNmyhVmzZrVqmz17Nu+88w4ulwu9Xs+WLVt44IEH2vR5+eWXO33co0ePUlxc3OpYRqORadOmsXnz5g6FksPhwOFozlhcW1t7nBHoPvXVB7nP9mWv7PtXTxaQ9RR2RY8dAxpk7JKRekzYJCN2yYQOD0acIGlQJA1IWiQJfGUbZrkBPS70ihu94kJPx790NNAob5pxKxpylAjylTAKlBAKlVCKlBAOK9EcUPqogkivQTZpUExaFKMWxU+HYtEj++mxG7VUtjmSTMvTMEgSQXotwXodQXodwXotIY0iJ6Qx+iqkqd2gI0inO6V1rGTZhcdTj8fT0EJwuFAUN7LiRpE7eK+4URrFidzYX2ncVj72fePnlv287xv3K7f3XnEjy6523zedKz3ubq6KqtVrWossVVw1iS9aiKumVx0aSYek0SFJ+lbvm9d18L7ddVokNCA1FiuRNB18llq0N39Wz6v5nFud7wm2bTqGJGmbt22xTiPp0GhMaDRGNBojWq0JSWrypWtKXam6VKj3WANut9Xb3nJdc1vza0frvFsrSjvrlHbWHe9YynHWHf8cj3usdte1t90xx+pwndJmndOVRXW1Q21v0d8jN+B21+FxW3F7rLjd1hbv1fZpHiuTsJKpDeYXaTDbh47g9cjrcaXr+DOLOV+znvd0vuwflsQEw1YSOOoto1NeoS4xMdf2uFDqCr0mlMrLy/F4PERERLRqj4iIoLi4uN1tiouL2+3vdrspLy8nKiqqwz5N++zMcZte2+uTk5PT4TU9//zzPPPMM23a09PT8fPz63C7ruLEyG4pqcf2JwANCgGKlVClBj/JjklyYULNIO3flMWt7f+gTuFQdFRhoU7xoQ4zdYoPlVjIVSIoUoIplwIo1wVSpguiWB+C02BEMWhRDBowqq/e90atGnrViIRMAPUEUUWgVEsQdfhTj6/kwBc7fjjwxYmvxokFO/44MEmy+oBxAW0yAUvel2qaPJnUNtUy4gFkUJryKTflTFYa672p/0Q9Hhfr1msa+8ot+rbzGQVFUd8rioOu5nM591HHV2msp9d7Nv5fF+vWn+4zOLfYuevkto8jizi2s4D3KQ2JYNukCfx13/U8af2Qm+zLUbbM4cmBfyYo0sE4KY2JUgbJUjFajZGaGj9SU1N75kIasVqtne7b687cxzpiKopyXOfM9vof296ZffZUn5Y8/vjjPPhgc1hjbW0tcXFxDBkypEen3lJSXgOE+binSU1NBbOBJauWUlpdhhsZWZLw6MCjVUDyICluPBotTkmPB/CgQVEkZEWiXmekQWfCKelwSjpckg67xkid0QeNXkGrVdBpPWi0MlqtB53Wg1HnRK9x40MDSdQxkCx0uDFix4gDEw6M2DHgwIQdMw2YlAbM2DDTgBGH99fVcUVci2TPp0qGnKzbgNRk2ZB0aBqtG6qFQ99oGWn9vs06jeEEFpKmdeo2J3zfaJHRtPf+2HNs8V6Smv6Nyo3/r5rEYUsBpLRok1u1K0DG/nQGDRrY3Oa1DrTcJy3WexqXRktZS0tbR+9PZIFTPM0CuUnsdvC5+TyaBHA7n1ttq7TYh/pZUTytrq/jfXhQZDce2YEs25FlB936RdNtpFavzc+Ilq9N69rfpuU0a9t1tLPfEx3zROcD3vLGUjvbtFnX4jxb/JhqeuN0OjEYjC2Op67UasxodX7odBZ0Wr/G937otBZ0OvWzy6nlwIEcDmbmYKt3I8s6ZFnLIHcwsbYgvnVVc5n/d9ws/YiUrvB08R0sHzKZ5fopRBv1jA3wZWaIP1e0E3V3MnRlRqjXhFJoaCharbaN9ai0tLSNJaeJyMjIdvvrdDpCQkKO26dpn505bmRkJKBalqKiojp1bqBOzxmNPZ9gT3DqSEgaQELSw23aFUWhvMbKwUPbydqzDuvhbKhwo3f4YZKCMGh80RjMaPQ6NDrQaEAyKCi6BhR9HbLOg0vjwq114NI48GiceDQuXJITWeMBSUGSZKTGVwAJpYWBRw+SDrdioQ6JOsXbA5Qmi48q2iSNhMlkxGwyYDQZMBl1GI0GjEYdBqMOg0GPQa9tbPNFo1Edv73m9JYPmRZmdEljaBQGTVMoHU+d5OTkkpCQ2NiuRZI06rSJ1Pi+se3Y9RqNCZ3OF63WF43m2InJsx1tt93etNpgjMaO//cImlEUBUVxIssuWouF5od9enoaQ4akNK7D29450SMiLY+lOz/aq6ur2bRpE7t27cLj8QC++GhMDHRGkOyJprwmk4zaQlwJVXgu+TfSd/dyk24F1eV+vLH1KpwpQRQGwpLSagJ02h4XSl2h14SSwWBg9OjRrFq1qlXo/qpVq5g7d26720ycOJFly5a1alu5ciVjxoxBr9d7+6xataqVn9LKlSuZNGlSp4+bmJhIZGQkq1atYuTIkYDq27Ru3TpeeOGFHrh6wdmGJEmEBVoIG3sB5429wNvucHvIPHyI7PTVFBdswFmSiVSjR64Kx9cWitHlh1NvwmbQgV6LSXJhlBTMGiNmXQhmrR9GrS86nQ8anQmNVg+SBpfkxoUHJ25ckhsnnsZXNy6psV3rwaNVcGtknLiwe5y45Q7qhAGqo5IbaO0wbjKZ8PX1xcfHBx8fnxO+NxhOLGCKi1MJDRXWTsGpR5IkJEn1Veq4jxGtVvyoPR1UVlayceNG9uzZgyyrPwpjQqIYUhFBrC0It8fJ9vIfKfIE4O/6hYEXP4Z+zBSQHfDDQzyg/4oqhx8f/jKb+eNiSR4WzqignnNt6Q69OvX24IMPcv311zNmzBgmTpzIm2++SW5urjcv0uOPP05BQQEffPABoEa4vfLKKzz44IPcdtttbNmyhXfeeccbzQZw3333MXXqVF544QXmzp3LkiVL+Omnn9i4cWOnjytJEvfffz/PPfcc/fv3p3///jz33HP4+PhwzTXX9OaQCM4yjDotKQMHkjJwIHA3iqJwsKiK/Xu2UXxkLUXW7WjdRbhrPEiVZqKqIvCzxaBoIynz02M1anBpalDkXBS5GsVTg1ZpwEdnxqyz4KP1x0dnwV9nwaz1x0cXiI/Ogl5jpNGFqhVuPNhx0aBx4vQHhwUcZg92vRu75MLmtlNvq6e+vh6bzYaiKNjtdux2OxUV7acfOBadTtdGQJnNZnx8fLyvJSUlhIaGej/r9XrxK1wg+BVTVlbGxo0b2bdvn9dlJjEhkVHmZAJ3u5CQKLcXsKVsKQ5tIgnlNWROLOa6sZPVHYy7DWyVsPY5/qx/n2qnH0u3TWbTvhKYnMDUmacvbU+vCqWrrrqKiooK/vznP1NUVMTQoUP54YcfiI+PB6CoqIjc3Fxv/8TERH744QceeOABXn31VaKjo/n3v//tzaEEMGnSJD799FOefPJJnnrqKfr168dnn33mzaHUmeMCPPLIIzQ0NHD33Xd7E06uXLlS5FASHBdJkhgYHczA6IuAi3C6ZfbkVfPL3lSsB1Zgd2+lzLyeXBSqqo2EFGtILrQQWReN0xiD1XcQVt8o6k0W7NRT6alGttegyNkonioUTyXgQi8ZMOtUEeWj88estRDgG0qwXxQ+sgU/t6mlN3aLEwRdsAldhC/aMBOuIA0uX3CYZBqcDdhsNu/SJKZavvd4PLjdbmpqaqipaZsBvCUtf5xotdpWQspsNrcRV2azGZ1Oh8fj6dYiy3LjtEtzlFLLz51Zmv6GkiSh0Wi69V6n03mvqUlI+vn54evrK6bmBb86SkpKWL9+Penp6d62pKQkpp43Bd8tDTTsLgMkMut2sqd8NZIhmRBnAhnRLxMVd1vrAtrTHlHzyf3yBi8b38CgC+LLusHYnMezpPc+vZpH6Vynt/IoNSGcuXuWUzGeWWVWVqUXkbVvC2Gl60kx7KLat5RtRiOFViN9CiQG5iskF2gweyKw+sZg9YuhzhJHnaUPLq0ZRa5FkStQPBXIngokKpFdZY3OryomrS/hgQnERQ8ixBKLj2KBGhmloQMPawm0QSb04T7oI3zQNb2G+aAxNvowKQpOp7NdEdXQoIqspteqqipkWaahoaHR/0AAanI8Pz8/79Ikotr73OROAOK73tOI8exZjh1PRVEoLCxkw4YNHDhwwNs+YMAApk6dSlRYJJX/y8B+sAo0sLNqFYcrd6HR98VknEn/gy+yd24p51+xiVEJx5QnkWX45nZI/QJFZyZ94j8JGDmPuGCfHr2mMyKPkkDwa6RfmB/9pveH6f0prbuSH/YVsX5XGqFF67hZs5PAqIPs7KfjDZOJYkcx/QuKGZi3gwEFCsP2SjjModRa+lBna+yOTAAAbzxJREFUiafOP546/xF4JL0aneQuQqIQg6EEW20uuRXp5FY0/4oz+VlIGDCCuJghhFriMLnNuMsacJfYkG1uPJV2PJV27AdaZ2LSBhnRh/ugi/BBH+6Db4QvAeGRaIwd/3to+sfZJK6OFVIdvXo8HnQ6HVqttstLS+sONFuGurKA+k++pXWqq+9dLpf3emw2G1arFavVitvtxuVyUVVVRVVV1QnvFaPR6BVNHo+HwsJC/P39sVgs3leLxYJOJ/5NC3oPWZZxOBw0NDS0u9jtdgoLC0lLS/O2Wa1WGhoavPsYPHgwU6dOJTIyErnBTfm7aTiza0Ensb1uJUcqdyFpo9D7XszAA//jm0mVDHBNZWR8aNsT0mhg3utgr0E6tJKhG+6C6tWw4O1TOCqtEd9AgaCXCLeYWDQ5kUWTE8mrnMGyfYWs3HOUiNJNXKXdyljdbtJCJTb1MfOi2YzDqWFodgXDj5YzLHsn/bNAlrRUByRRHjacsphxOOiDWwG9nxuNpgz/oApkTwHVRVnYrXUc2LmBAzs3AGD08SVm4GBihg8hNnEIgaZw5AoHrlIb7hIbrlIbstWFp8qBp8oBB1s/3LUBRq94ammF0pia/21IkuSNBg0MDDyVw3tG0SQYm0ST1Wqlvr6+w88ej8ebwLbJdyw/v/3aeT4+Pm0E1LGvZrNZ+Ij9yvF4PF5h05Ho6UgIdWdiSafTMWjQIKZMmUJ4eLh6DnVOyt9Nw1VUj2TSkmHYwZFDu9DqA9H5zCWydA+Vhu0kRDWgH3Bzx/esVg9Xfghrn4ctr0LMmJMZmpNGTL2dBGLq7eziTBnPjKJavtiRz/JdWQx37OAS7Vama3aTZVJY42NmjY8PR/Q6oith2FGFCZkwOEdGQaLGP5GKvlMpDRtJg6tZsGj1CuF97Jh8yrDVHKUoMwNng63VcfVGE9EDBhE3OIW4ISlE9O0PDsUrmtyl6qurpB65rh1P8qZj+Ruw+8gE9QtvFlLhPmh89B1uI2imycG+STjV1dWRmZmJn58ftbW11NXVeV87O62p0+k6FFJNi5+fH1qt9sQ7Owc4U77r3aHJYtnVxek8uQxqer3e61t47FJTU0NiYiJmsxmTyYTZbCYkJKRVhKy70k75O6m4K+xo/PSUD6hg1ZevI2m06H2vxuQxMXb7X/nrtQ0stEcx8d6lxIf4nvjEKrIgMB60PWvX6crzWwilk0AIpbOLM208nW6ZnzNK+GxHHtsz85gh7WS+diNTtKnk6TSs8TWz3NePDKOe6AqF2bthRpoGQ4MLhf/f3lmHR3Htffwzq9m4J8SFCBLc3YrVKC1Uqd66Udpbu1K5bam8dWq3t24UKS1tgQLFilM0QEggCRHi7qvz/jHJJiEJJJCEhJ4Pzz67e+aM/TKz8+Wcn0iUe0ZSMmQWOfpIKsrry2qotSpCenvgHVSDbD1F9vGjnDp2hJqK8kb71+odCIztTXCffopwCu+JqvZBaqsyK6KpweiTJbcKa1nLP8YqFy1aPydlGs/HgMZbeand9EgqMdpxJpq7NmVZpqqqyi6cThdRde8Np0DOhCRJODs7NxJPLi4uqNXqJtOZrfl8Luu0ZVt6vR5fX99zEncX+l6XZfmM01mnj+g0/H6+BWDrhEzd6/TvLb3ONMV7Nnuacysp+OQw1jITanc9qunufPfa41gtFrSOE1DrB9Ev/gPiA49QPqaSSvkpnn/4nvM6z/NFCKVOQgil7kVXtmd2aTXf78ng213pyOU5XKHezmz1Vnqr0tjroOd/7u5sM+jRm2RGJ8A1h53xTlei0mTA2HcsJYOuILPSg7LC+nqEKo1ESG8vIgZ64epZTV5qAhlH4slIOExNeePMtDqDgcDYPgT16ktw7zj8IuqFUx22agvmvCpO7kvCT+tZL6BKjbSIRoXGywGttwGVkxbZJoNVVt5t9e/YZGRr7bss1yawrl0uo/SR5dpKKrU/WyoJSS2BWoVk/6wk5UStUr7Xtde+S2pVg/Va6KuWkFQqJJ0KlV6N5KBR3vVq+/f2FH/nc22azeZmBdTp73U5bboTjo6OjBkzhmHDhrXJV6u97nWr1dpIyLRlWut8Hq2SJLVK3Jz+cnBwQKVq/7qNZ7KnKaOcgs8OY6uyoPF1xO2mnnz30uMUZ5/CySMWizwDv/z9RCd9woK7VLxQLJM8dRU3jQxr9+NsC0IodRJCKHUvuoM9zVYba4/k8uWOk+xKLWKQlMTftUsYqTrKYZ2Oj7x92aRXgSwTmQ23JPoRs68AqXbYXXJ2hpnXUxgxjpOpFkpy66ffVGqJoFhPIgf5EB7nRUVxFhlHDpF+JJ7MhHiMlZWNjkXrYCAwphdBveMI7t0Xv4go1LUPq9NtaauxYMmvxpxbqYinghosBVVYCmvAehH+xGhUaP0c0fZwQtfDCW2AM9oeTo38t9pCR1+bNpuNyspK+8hU3auioqKRozrQ7OczLeuofhUVFfYi5O7u7kyePJk+ffq0Sgicbk+LxXJO01kNi6CfC3WpJNoidAwGA3q9vkv5nLV0fdacKKHwy6PIJivaIGe8b+vLui8WcWTz7xhcPLCprkMlaRmx63nW9i+iZmg1Uu4VPPTka3g4XdjM/EIodRJCKHUvups9k3LLeW/jCX46cIqpqj95Rv8tgXIuiTotH/uHslZtRkbGqVrmtrRQxuypQpVZX7rHMGQIqstuIMcQRfLBQoqy6oWQpJIIinEncpAv4f19cHBWk38ylcyEw2QcjedUwhFqKhsXjdTo9QTG9CaoV19MekdGTZ2ORntmvyTZKmMtqcFSUI05vxrZaK0fxVHVjeac9l2FUipFJSn1J1QoyyRJqTChahDBZrMpo1PW+hEpZcTK1qhNGcGq72sf1bLaTutTv65slZHNVuQaKzajFdloxWa0gKXln0y1pwNafyd0AU5oezih7eGM2uPsD73udm12BlarlUOHDrFhwwbKy5Vp44CAAMaOHYu7u/sZBU5BQQEqlco+AmQ2t+xz1xr0ev0ZhU1LL+1Z7o/uQnPXZ/WRAgq/PQZWGX2kG1439+bY7j9Yveh1JEmFZ+hNVJZ6E5yxnoDMFTxwr5pPCwr5KOg73r51woU5kQYIodRJCKHUveiu9tyeXMCTy+PJLSrhDvVqHtL/jIOtihSthv+F9GaVXIZVtiHJMleXRnPVYUe02w9ArSOw2tsb96uvRpp8JWmZEsn78yjIqBdBkgQB0e5EDvQlYqAPTm56ZJuN/PSTZB6NJ+PoYTKPHWkyVafR6QmIjiGoVxzBvePw7xmNphXlT7o7ssWGtcSIKbsCc3Yl5qxKzNmVLU4/Sno1Wv864VT78ndCpauf1uyu12ZnYDKZ2LFjB9u2bTsvh2VJklrtr3O6GPqrOMG3RPy+Q8T4R2AtqsFSWI3pVAXV8QUgg0MfL7yui6WkIJuvnpyPuaaansMuI/N4NFq5hhHb/skvQ2s4NczEmFN98bjuA6b37XH2nXYwQih1EkIodS+6sz2rTBZeWX2ML3ak4U0pTzqu4GrbeiRsZOj0fBI5hJ+M2VhkxRF0jLYXd6SG4LZmN5b8fGUjKhXO48fjccP1WKIGknKwkOR9eeSlNXDylqBHpBuRg3yJHOiDs4cDoIzcFGSm1wqneE7GH8Rc1XiqTq3VEhjTi7ABQwju1RefsAj7VN1fAWulGXNOnXCqFVF5Vc1PPUqg8TLYRdMpSwHRY+JQO10cIxAdQUVFBVu3biUpKQmTyXRGcZOfn09MTEyjNp1O1yH+OxcDsixjq7JgKazGWqiIIUthDZZaYWSraH5Ezmm4P+5X9MRqs/Ddvx4jLzWZgJg+VFdfSnW5hajjS+mRvYn771PzWkUe79T8m0//eS96zYUXnkIodRJCKHUvLgZ77k4t4skfDpGSX0lPKZM33JfTr3oXADmO7nwWM5rl5UkYrcroRh+3WB6oGEbw+iNU7dxl3442OBiP667FbfZsqqwOJO/PJ3lfHrmpjUeN/CNciRnuT88hfjg0eIgfOnSIQE93u2N45tF4qkpLGq2r0evpERlNQEwv5RXVCwfnC1vcsrORrTbFdyu7ElN2rYDKaTn9gtpNjzZA8XlSpu9aN3UnaMzFcK+3N7JNxlpmqhdDRbViqFYUycYzp6JQOWpQexmUEkleDhh6eaELVkp+bfryY/b++hMOzi7EXfIY8ZtKcZIqGbrpKf7oY2PtNCsvZWj4ov+3LLy6f2ec7lkRQqmTEEKpe3Gx2LPGbOX9Tcl8sOkEZqvMZN0RXnNdimdFEgAF3j35MmYUi/N2UW1RQscj3SK5z+NK4rZmUfbjT9hqfT4knQ6X6dPwuP56DAMGUFFsJGV/Psn788hOLlWizah3BO852Ifw/j4cTznWpKRBUVYmaYf2k3ZoP1mJCU18nAAMrm5KOLpajSSpsFkt2KzW2pcFm9WGbLM2dvpt8BMlSbXRbZKEJCnRayqVGlVttm+VWoNKo0at1qDW6dBotWh0ejRaLWqtDo1Oh9bBAa2+9lX7WWcwoDc4ojM4onM0oHd0QmdwRO/oiEbX/kLFWmFSRpyyKzFnVVCeXIi6vPmoNMlBo4imWodxXZAzGh9HkXLhDFws93pbkS02LMXKSFDjkaFqLEU1Z/SvAyVHmtrLgMbLofalCKOk3BT6Dm5e4KTs28OKV54DYNp9T7JtmQWL2Ubfo5/gm7ePv9+u5lpNCScLr2TSbc8xumcz2bgvAEIodRJCKHUvLjZ7JuWW8+TyQ+xLL0GFjce8d3GX5Vs0NUqm55LIiXwdPoBv09dSblaEUYhLCPfE3MboozKli7+npkEhS31sLB7XX4/bZZeicnKissTI8T9zObYjh8JT9aJHpZJwC9IwYFwk4QO8MTg39UuSbTaKsk5xKvEoWYkJZCUdpTg7q4Mt0jGoNRr0Ts7oHZ1wcHLGycODgJjehPcfhFdwaLuIqPj4ePpE9cKcVan4PmUpAqqlqTvJQYMuyFkZeQp0QhvogsbTQYinWi62e70hNqO1Vgg1EEG1oshaYrT/56ZZVBIaD329GPJsIIo8HZC0zU+JtWTP8qICvnr8IarLyxg443JQjSNhezZe+gr6/fYE8WESL1+nYnVaDjepPmTN07PRqLvG9KcQSp2EEErdi4vRnjabzDe70nhlTSIVRgvuqmo+DN3I8NzvkWxmkNSUD7qJxT0i+PLEckqMJQD08uzFPf3vYXiJF6XffU/ZqlXItaHQKicn3GbNwuP669D37AlAcU4lyfvyOLEvn8LMBo7gKonAaHd6Dlai5xxdW3bmriorpbKkGJvVimxVRo1UamU0SBkVUkaC6iLeJJSot7okhPWjTDYlOg0lks1qsdaPTFksWK1WbBYzVrMZi9mMxWzCYjJhNZswG42YjTXKe02N8rmmBnNNNcbqakzVVRirKjFVV2GqqkaWz5x7yM3Xj4jBwwjvP5igXn3ROjic09+xpWtTttgw51YpU3ZZlZiyKjCfqkA2Nz0uSa9GG+CELtAFbaAydfdXHXnqzvd6I3+hIiViVPEVOrO/UB2SVslbpvY0oPFuIIY8HVC7Oyh5wtpIc/a02aws+88/yTgaj29YJFPvfYZlrxwAGYYmvIdL7lEWzlHh1qOGq7KD2DB4ES/M6jp/EyGUOgkhlLoXF7M9c0preO7nI6w+rKQHGO5WwiKfFfhkrlM66FyoGv0gi93d+fjI51SYFbHT070nf4v7G1PcR1Dx08+ULF6MKS3Nvl3HIUPwuOF6XKZMQaqNaCvJrWLb6ngqTklNoucCYzzoPTqAsP7eaHUX3mHzfJBlGXNNNTWVlRgrKzBWVlJTWUFxThYZhw+SfuQQ1gZh5yq1hoDoWELjBhASNwD/yKgmCTtboi3XpmyVa53GKzCdUoSTKbsSLM2IJ60KXbALulBXRUT1cEb9Fxh56ur3umyTsZabsBTUiqG6abJa52m5pm3+QpoGI0QqF227TxU3Z8+dyxezbcnXaPUO3LTwLf5Ymk/msWJCvCrpufxxsn00zL9D5s28AtaUzuPqO55kRIRXux7X+SCEUichhFL34q9gz/VHc/n3T4fJKq0B4Nm4Im4u/x+qnANKB9cgiic+wZe2Ir5LXEylWYlcC3YJ5r4B9zEzdAZVO3dSsngx5Rs2Nkkx4HHtXLQBAXZbluZXkbwvv0n0nEarIqiXJxEDvAmL88bgcvGlDTDX1JAWf4CU/XtIO3SAsvzcRst1BkeC+/QjNK4/of0G4tEjsMUH2Plem7JVxpJfVS+cTlVgzmph5EmnVqLtAhqkKZBQXkj2z/ZjlVBUcMPPTZbXryudtp26/kB9LixOa1c13ZfKoEF9jtdNV7jXZYsNS4mxfoqsgRBqvb9QYxFUJ4pUhs6NJm1oz8qSYhK3b2HTl58gyzam3/cIzt4D+OXdg6g0EqOT3kWbnsBHM1TsjZNZm5bNZZpPWPuPq1B3IYEuhFInIYRS9+KvYs9Ko4XXfkvk8+0nAYj0MvDhgFSi4t+AstoK9dEzKJ38T77L2crXCV9TalTKocR5x3FP/3sYGzgWS24uJUuWUrJ0aZMUA6UjR9Jn3k2NHvxlBdUk7MgmcWcO5YU19nZJAv9IN8L7++Af7opGr0ajVaFSS1hMNixmG1azFatZRq1T2m1WWXnVjpLoDBrUGlWjshAqtYSDkxa1RnHwVtUmrNRoVRdkxKQkN4e0Q/tJjz9A+uGDTZzZnb28iRg4hJ5DRxLUqw9aff00XUdcm7JNEU/Gk2WYMysU36ecyrM+oLsShn7eeMzq2eaCy511r9tMViyFtf5CRY3D6q3FNa33F/JsIIjO4i/UmdRUVpCbfIID2/9AqiwnJ/k45YX59uVxk6cx5Y77+f7FPRRlVdI70oL/Jw9T7aLjb3dbmVtVwdj8AFb0+4D/m9M1ot3qEEKpkxBCqXvxV7PnxmN5PLH8EHnliu/RjYN8+afHOgw73gCbGdQ6GH4PVSPu5euTv/C/+P/Zo+R6efZSpuRCpyBZrJRv2Ejxd99RtXOnffv63r3wuuMOXC65BFWDRJOyLFN4qoLUgwWkHMhvND3XGUgqCQdnLVqdCrVGhVqrvBuctTi66tDqNWj0KrR6NVq9Bmd3PU7uehyctRictWgd1Oc9dWGzWclLTSEt/gDp8Qc4lXi00TSdWqslMLYPYf0HEdZvINml5fTr1+98T/2syFYZS0GV3WncklulZCWXlXp6ytOgtraeTH3EoUy9SK1rr3tyyHJ9YGKj9haW1e5DbvCZ0z7LMsg1FpBBF+KC9x19Uek7v9Zbnb+QtaEIauBE3VKahzokrQr16SKoVhidq79QR2GuqSH3ZDK5ycfJST5Obsrx5gMwJAmvwGDiJk1j0MwrOLo1i03fJKJ31DDu1MdYD/7JD2M1LB4DS05l823ljQy/9gku6xfQ+Sd1BoRQ6iSEUOpe/BXtWVpt5tU1x/hmVzoA3s463pioZ1zy65CySelk8IQJT1HQ53K+OPYt3yd+bxdM4W7hzB80n4nBE5EkCWNKKsWLv6Po+yVItc7fag8P3K66Cvc516APD29yDGWF1Zw8VEDqwQLKCmuwmKxYTDZsNhmNVoVGp0KjVaPWqLCYFCdvSSWhUiujSwCmakutA3ctEljNNoyVFmy29v0JU6klu2gyuOgwuOhwdNFhcFW+u3ob6NHTDXUbonfMxhoyE45wYs8OUvb/SUVhQaPlOmcXeg4aSli/gYT2G4ijm3u7nlN3pGGxVX2EG9639Wn1KEubfL5q/YXqp8gaR5K1yl/Is4Upsg7wF2oPLGYzBeknyUk+Tk5yErnJxynMzGg2eMHNzx+Dly8xg4bgFxmFX3gkOoMjAKYaC1//eyfVZSaGjXTAeeEd2LQa7rpXxk9rZvmpHEYa32PNv+bi7ti1pt+FUOokhFDqXvyV7bnnZBFP/RDPiTxldOem4cH8KyYL/YZ/Q0Gi0sk/DmZ9SIl7EF8nfM23x76l3KT4HQ3vMZy7+93NEL8hSJJE/LZt+O/bT8myZVhy631znEaNxPvee3EcOrTTzk2WlRptNpsyXWeqtlJdYcJqtikvizK9V11uorrchNlow2y0YjZZMVdbKC82UlVmpKbCjMV05ii3OvSOGqKH+dN3XCCeAU5tPt66nFMnD+4j42g8ltOKr/qGRRLWfyBRw0fjF9GzSz5sOwNTRjn5/4tHNlpxiPHAa15vJE3bi+LKVhvWYmMDP6HG02TNOcI3ROWqayKC6qbI2jot2NnYbFYKMzPsI0U5yccpSE/FarE06evs4YlfZDT+kVH4R0bhF9ETg4tri7+du35O4c9fT+LqY2B88XdUrl/H/uFeLJxUymOFxfQt8edF/7f54b7RnXGqbUIIpU5CCKXuxV/dnkaLlbfXH+f9TckAhHo58tKVvRhd+itseAGqi0ClgSG3w/gnqdDq+eTwJ3xx5AvMNmWKYaDvQO6MuxO3Ijf69euHbLFQsWULJd8voWLLFvtUjUPv3rjPnYPrpZeidnG5YOfcVswmKzUVZmoqzFRXmKguN9sFVlWZiaoyM/npZVQ3mHIJiHInZoQ/EQN8GmUvby0Ws5lta35FKi8h7eB+8k4mN1ru7OFJ2IDBhPUfTGjcgL9cdnNjaikFnx5GNtswxHnjeV1ss1NWNpPVPkWWcTgVH527XRRZS2rgTFpIBWoPh8a+QrXh9WoPh0Z1+boysixTkpNlnzrLST5ObmpyEyEO4ODsUi+IIqPxj+iJs2fzUWnN/XZWFBv55t87sJhtTLnKD9v8OSDLPHKnmhxvifVpmXxovB6XiY/w8JSoDjnf80EIpU5CCKXuhbCnwuakfJ5cfojs2si4OYOD+OcEL9x+fwKO/aJ00rvBuMdg+N2cqings8Of8cPxH+yCKcwQxjPjnmGI/xD7ds2nTlHwv/9Rumw5cq0/juTggOv06bjPuQbDoEEXxciIzSaTeayII1uySD2Yb/fBUaklQnp70nOIH+H9vdE5nJtPTVVpCWmH9nNi725S9u1u9JCTJBU9omIIHzCYsAGD8QuPRPoL1C+rSSqm4IsjYJUx9PHCEOd9WiRZDbbyMxfMbeQv5OnQKMeQ2l2P1EUSIbYWWZYpLyyoHSlKIiflBLkpxzFWVjbpq3Uw4BcRiX+D0SJXH79W34/N/Xb+/mUCx7Zn4x/hxqia1ZR8+w35/YO5f2Y246uqWZSbz1jjm7x732wGBLu3xym3K0IodRJCKHUvhD3rKa8x89pviXy1Mw1ZVnyXXroqjqmGRFj7D8iJVzp6hMFlb0LkJPKq8vjiyBcsTVpq92GaEjKFu/rdRS+vXvZtW4qLKVu5kuKlSzGdqB8d0YWH4zx+PGp3N1TOLkh6HXJ1Dbbqamw11chGE2pXFySdHtliQTabkC0WJElC7eGJytA4maOkd0Dj64vK0YCk0SgvrRaVmxtqd/dOEWUVxTUc25HDib25FJ6qf0BpHdTEjuhBzHB/fMNcznosLV2bFpOJzGNHOHlgLycP7qMwM73RcoOLq+IQPmAwYf0H4ejq1j4n1gWpPlJA4TcJZxwZkgwaNF4OVKqNeEX4N5omU7nourVQryorVQTRifrRotPrK4ISKOAbFoFfRFStKIrGMyDwvAT16ddnRkIRK985ADJcdV8MZbdcjlxdzTu3eLE1oJQ3c/PpUeHLPO3r/PmPKai6UFqAOoRQ6iSEUOpeCHs2ZW9aEU8sr/dduntcBAumRKI/sgR+/w9UKAksGXwbTPoXOHlRVFPE878/z4aCDci1IU5jAsdwV7+7GOg70L5tWZapPnCAkmXLKFu1Grm6utPOSzIYUDk6onJwQDI4oHIwoPH3QxsQgNrFFZWzM2oXZ1SuruhCQtAGBaFycjqvB2lRViXH9+ZyfHcupfn15+rq7UDUED+ihvrhFdj8tFlrr82ygjxOHtzHyQP7SIs/gKm6yr5MpVYTEjeAyEHDiBg0FFcf33M+l66KMa2M8i2Z2CrNp4XT14qhWn+h7n6vG6sqyU05YXe2zkk+TnlBfpN+kkqFd0iYIogiovCLjMI7OBS1pn3zLB06dIhArwjSjxaRkVDEqcRibFaZ2BH+9DdtI/+NN7BEBHHD3GzcJA0bUlN5xzyHjLj7efu6gWffwQVACKVOQgil7oWwZ/MYLVZeXZPIJ1tTAejp68wrV8cx2F8Hvz8Hu/+rdGwwHRefkIQhyMDH8R+z5uQabLXRMsP9h/PEsCeI8mjsk2CtqKD8t98wJqdgKy/DWlaObDKhMjggORhQGQxIWi3WCqVd0mjto0SybMNaWGSfzqvDVlmJJS8Pm8kIZkvtKJQZW8U5piPQalG7u6Fxd0ft6YU+MhJdaAga/x5oe/ij8fdH4+191v+ZyzaZjGNFHNuRQ+rB/EYO4r6hLsRNCCJioE+jqblzuTatFgvZx49x8uA+UvbtIT8ttdFy7+BQwgcNJWLgEAKie7U6S/jFQHe6183GGvJSU+yjRDnJxynOPtW0oyTh2SOw3qcosic+YRFodfoOOa6qMhMZCYowSj2Uh6mq8VBeWD9vpt0STeqMaVjy8thy6wAW9TjM9eWVPF1QyBTjq9w351JmDwrqkOM7X4RQ6iSEUOpeCHuemTWHc/jnj4cpqDAiSTBvRCh/nxaDS84uWPNk/XSceyhpMXcQOv0hkCTSy9L59PCn/JT8ExabBbWkZlbPWdzR9w6CXYM7/TxsNTWKgKquQa6pxlZdg62qCnN2FpacHKzl5djKK7BWlGMtKcF0Mg1baWnrNq7RoA8Pw+2q2bjPueasjupmo5WT8QUc35NL2pFCbLXJHjVaFaFx3kQP8yO0jxdHjx0572uzKCuT47t3kLp/D1mJxxqFeuudnAjp05/QfgMIjRuIu3+P89pXV6er3utWi5mC9LTaUaIT5CYnUZCZjmxrOp/o6uNn9yfyj4zCN7wnekfHjjs2s43s5BIyEopIP1rUJP+ZRqciMNqD4F6eBPf2xMPfkbKVK8l64klUPt7Mu6OSasnM4lPZONR4M9n0f+z5xyX4uHSMkDtfhFDqJIRQ6l4Ie56dkioTL61KYMmfSgbvHm4OvDF3ACPD3eHgYtjwHyjPVjr3uhwuexuclEiZrIosXtn9ChsyNgCgklRMD5vOnXF30tOj54U4nVZjq67GWlKivIqLMefmYTxxHPOpLCzZ2ZhzcpTs5A0eaCo3N7z+dgeeN92EymA46z6qy00c2ZpF4s4cSnLrp8x0Bg0+0VomXN0fd9/2eRBWl5fZR5pOHtjbJEu4m68foXEDCYnrj4OTS20mc0mpKiKp7KVEJEllL0lyeqHihgWLkSRlFZXK3rfx9k7bdjPba7hNJAmt3gGN9txC77vCvW6zWSk6lWkfJcpNOU5+WmqjxKN1OLl74BdZ71PkF9Gzw/3NZFmmOKeKjLrptKTiJukxvIOdCenticWhlFFTBqLWqhqtn3rVbIzHjpEzbzIPBW2mp+TADylJvGe5kt/87uLnB8d06DmcD0IodRJCKHUvhD1bz7YTBTz1QzzpRVWoVRKPT4vhb2MjUFuqYNvb2La8jkq2gIM7jH8cht4JGiWh3P68/fz30H/ZemqrfXvTwqbxyOBHCHQOvEBndP7IFguW/Hwq/viDoi++xJSsOKqrfbzxvPEm3OfOQePpefbtyDIFGRUk7cnlxJ+5VBTXR7X5hrkSPdSPnkN8cXJrn/+J26xWcpKPkxa/n7RDB8g+fgyb9cxJFLsCGr2ecTfcyoBpl7XZd6yz73VZlinNzbH7E+UkHycvNRmzsaZJXwcnZ7soqnt39vDqFEfzmgozGceK7OKo4bUH4OimI6R2xCgo1hNHV+Webs6elTt3kn7rbUgGA//3dDS7qo7wWEkltxQXcpnxBSZMmMpj02I6/JzOFSGUOgkhlLoXwp5to9pk5ekV8azYr/hLDAh255Wr+xHj78LxLcuIOvIm5B5WOntGwJTnlFGm2h/8hMIEPo7/mPVp6+1O30HOQXgaPPF08MSgMVBjqaHKUkW1pRqT1YSb3g0njRMW2YLFZsFsM6NCha+jL45aRyRqRx+QcNQ6EuQchJPOCZ1Kh06tQ6fS4engSahrKFp1xyUClK1WSn/+mYJ3F2E+pdhH0ulwvfRSPG66EUOfPq3bjk0mPaGIbT8lUJJhsqcakCQIivWg38RgQvt6tWvtOlN1FRlHD5MWv5/spGNYzObaUiPKq+6zUmakYRvKdJ6M8ve02WqrjjSzriwjI9dmU2+8rtLHZi+XItuUvrTwKJp6z0PETZzapnPsyHtdlmUqiguVUaK60aLk401G7QC0egf8InoqgiiiJ/6R0bj5+Xda9J3VYiM3tVRxwj5aRF56eaP6c2qtioAod4J7eRLS2xPPgOYDGpqzZ/rdd1O5eQvqay7j6qg1qFGxPj0dk9WLUTVvsfSeUQwNO/t/HC4UQih1EkIodS+EPduOLMss3pPBS78mUG60oFVL3Ds+kgm+Rgb16wMHvlGSVVbUZucOGwtXvgceofZtJBYl8uqeV9mTs8cumDoDg8aAo8YRJ60TTlonglyCCHMNw13vjruDO246N9z0bkS4R+CqO7f7VzaZKP11FcVff03NkSP2dsfhw/F9ZD6GAQNatZ34+HgiQ2M4sTeXpN255KaW2Zc5e+qJHupH1FB/vIMu7mSTDcXW9qXfsmvF9+gdnbj1jQ9w9mj9Q7c97/WqslJFEKXUi6LKkuIm/dQaDT5hEbUZrZWRIs/AIFSqznOil2WZ0rxqu5/RqcRizMbGo4degU61wsiLHj3d0LQimebp9qyOP8zJOXNAkvjj9et4N38p49TuvHfiEP+zzOBtzW3s/9claLpwbiohlDoJIZS6F8Ke505OaQ3/+ukw644qgijYVcP/bh9FjL8LGCtg29uw/V2wVIPeFSb/W0kpoK6P7CqsLiS9PJ2i6iKKjEVUm6sxaA12QaNVaSk2FlNjqUGr0qJRadCoNFhsFnKrcqmx1CijFLU/WWWmMk5VnKLGUoPJZsJsNWO0GsmtyqXS3DTp3pnwdfTFy8ELL4MX3gZvfB196ePVh0j3SHwdfTFozuyDVJcKofjrbyj77TeoLQ9hGDIYz5tuwmXKFKQzhGyffm2W5ldxZEsWR7ZmYaquLzXhGeBEzAh/+owJQN/FS2ecLzarlW//+Si5KSeIGjaKKx59utXrnuu9bqyqqg3LT7KH55fl5zbpJ6lUeAeFNCr34R0SilrT+X8TY5WZzGPFpCcoo0blhY2n+wwuWoJiPQnp40lwrCdO7m2f0q2zp7W8nPL1v1Pw7ruYs7JwmTmDW0YeJK8qj9eLKplaWsg1xn/j23cC7984uL1OsUMQQqmTEEKpeyHseX7Isszqwzn8+6cjFFQYcdSpWTg7jiv6ByjD9cUn4Ye7IGOXsoJ3DEz9D0RNtU/HddZxFhuLqTRXUmWuospSRbmpnJOlJ0kvT6fMVEaZsYwSYwkF1QXkVjV9EJ6Ou94dP0c/gl2CGdZjGFdGXomjtnnHa3NWFvnvvUfpTyvtgknj74/H9dfjcd21qN2aOum2mHDSbCUtvpCk3bmcPFxgj5rT6tVEDvYlepgfgdEeXTKhX3uQdzKFb55+BJvVyhULniZq+KhWrdeae91sMpJ/MqXRFFpR9qlmpwA9asPy60LzfcPC0eodmtlqx2Oz2sg9WU7G0UIyEorITS1rdMgqjUSPSHdCensS3MsT7yDn85q6tVVWcvTLL3E7fITKLVvsaTq0QUHkL3qcu3YtwFXjyMbjx6hQeTC46l1evro/1w4NOd9T7VCEUOokhFDqXgh7tg9FlSZu/e8WDuUqjqBTevnyn1l96eFmAKsF9n4GmxZCVaGyQvh4mL4Q/Frnt9PZlNSUcKryFIXVhRRWF1JQXUBmRSbxBfFklmfas5A3xNPBk/sH3M810degkpqfXjDn5lHy/WKKF3+PtagIqI+U87j2WtQNfjNac23WVJpJ3pfHoY2ZFGXVj5g5uemIGupHr1EBbS7Q2x3YuvhLdq1YgpO7B7e+/kGrat2dbk+rxUJBRlqjch+FGWnNOrW7+vjiV+tPVFcYVu94Ye1aVlBt9zPKTCxuNMoI4OHvSHCtMAqM9kCrP7/pPltNDRWbt1C2ejUVmzYh19SPUukiI3GdMQOPa+fydMJrrE5dzXX6QP5xbAffWCfzD/Md7HhqkvJ70IURQqmTEEKpeyHs2X4cOHiITfkOvLfxBGarjLNewxPTY7hxeKgyulFTCn+8Djs/AKsJVFoYuwBiLwO3IDB41I8yyTKYq8BcAwZ36ESfjrMhyzLl5nJyKnPIqcwhqTiJ5UnLyaxQ0icM8BnAMyOfOWP6A5vRSNnq1RR98gnG4ycAkBwdcZ91JR43zUMfEd6ma1OWZbJPlJC4O5fkvXkYq+ofmiF9vOg1qgdh/bzQaLuOHc8Hi8nEl088RHFWJnGTpjL17ofO2N9ms7Jr8yZcVdhHi/LSUpoNy3d0c6/3KeqpZLd2dHPvoDNpPaZqC5mJxUrCx6NFjTK9A+idNATHetrFkYvn+Y9u2UwmKrduU8TR779jq6pPYSH7+eE9axauM2eij45CkiTKTeVMXDIRo9XId4U19C3L40bTUxT4jOK3R8ad9/F0NEIodRJCKHUvhD3bjzpbJuWW88TyQ+xPLwFgWJgni24YiK9r7Q938UlY8xQkrmq8AY2D4stkrgJTJfZQHJUW9C5gs4DVDDYzSGql5pzBHSRV/UvvAt5RiujSGEDroLy7+INfX6W9AwrGmm1mliQu4Z1971BlqUKj0jAneg53xt2Jj6NPi+vJViulK3+m6NN6wQTgNHYspTOmEzd7dpuPxWq2kXakkGM7skk9VGA3o86gIXKQDzHD/AmIcm/XqLkLQWbCYb5/9kkA5vzrJUL69gPqnJdzG2S1TiI3JRlzTdNRQL2TU339s9pyHy5e3l2i/pvNJpOfVk5GQiHpR4vITSnDZqt/NKtUEv6RbvZkjz4hLu0y3SpbLFTu3EXZqlWUr1+Praw+iEAT0APX6TNwnTmTEzYrcf36NVp3WdIyntvxHJGOPVhxZBfVKhf6Vb3HHeOieWpmr9N31eXoMkKpuLiYhx56iJUrVwJwxRVX8O677+Lu7t7iOrIs89xzz/Hf//6X4uJihg8fznvvvUefBuG2RqORxx57jO+++47q6momT57M+++/T1BQfar01uy7uRvkgw8+4J577mnV+Qmh1L0Q9mw/GtrSapP5emcar645RqXJir+rA+9cP5Bh4bVRSrIMh5fDvi8g90j9lFyHIylizMEVHNzAKxL8+4GzHzj5gJO38u4WfE6CKqcyhxd3vsimzE0A6NV6ro25ltv73o6XwavF9WRZpmrXLoq+/IqKjRvtPjHOUybjdeutGAYPPqeHd0luFQnbs0ja3Tg3k4e/IwOmhBA52Be9oX1rgHUm6//3PgfXrcLZ04veYyeSdzKFnJQT1JSXNemr0mrpUedTVCuO3P0DuoQoqqO8qMY+YpRxrAhjZePpNDdfgz2nUWC0B7p2+tvJVitVf+5VxNHatViL6yP4ND4+uEyfjuvMGRj697eX62nut3PeqnkcyD/AAqdYbju8lp+lCTxYfRff/m04o3p6t8uxdiRdRijNmDGDzMxM/vtfpVbUXXfdRVhYGD///HOL67zyyiu8+OKLfP7550RHR/PCCy+wZcsWEhMTcaktF3Dvvffy888/8/nnn+Pl5cWjjz5KUVERe/fuRV1bz6g1+5Ykic8++4zp06fb29zc3DC0IssuCKHU3RD2bD+as2VqQSV/+2IPyfmK/8yNw0N4YkYsrg6nRQKZa5Ts3qYK0DmBzll5qXX17SqtEjGn0ipTd8WpYKoC2Vb/qiqEgiQl6s5So7zMVVCUCiVprT8Zgyf06AeugeAaAC49wD0UgoYoo1hnQJZlduXsYtH+RRzMP6hsTmPglj638Le4v6FXnznCyJSeTsGHH1GyYgVS7U+xvncvPG++GdeZM1HpdK0/j7pjsslknSghaVcOJ/bmYapR/HDUGhWhcV5ED/UjNK77Tc0Zq6r45ulHmtRBU6k1+ISGN3C2jiKruIT+/QdcmANtAbPRyqmkYnuyx+KcqkbLdQYNQbEe9pxGrt7t5+Mj22xUHzhI2apVlP22Bmt+gX2Z2sMDl2lTcZ05E8fBg5GaqQl4+v1+vPg4s1fORiWpWF9oxqf0FHeYHmWHZhj7/30Jek3Xv7a6hFBKSEigd+/e7Ny5k+HDhwOwc+dORo4cybFjx4iJaZqxU5ZlAgICmD9/Pk888QSgjB75+fnxyiuvcPfdd1NaWoqPjw9fffUV1157LQBZWVkEBwezatUqpk2b1up9S5LEihUrmDVrVqvOyWg0YjTW/0+trKyM4OBgIZS6CcKe7UdLtiyrMbNwVQLf7c4AwN/Vgeev7MPUPv6de4DmGjCWKb5SNWVQXQw5h6DgOFQVQGU+VBYo+Z+spua3IanAI1yZ9vMIU3JDecdA2Ghl2q8BsiyzLWsb7+1/j8OFShLOMNcw5g+ez6TgSWcdyYhftRrvnTspXbnS7jir9vHG5/4HcL/m6jOmFjgTpmoLR/7IImF7VqMHs85BTcRAH3oO8cPJTa+4i0nUlhShttyIZDdDXTkSGrZLzbXVfpbqTCjVVSyxt0s06HPa97PZyVhVxZ6Vy6ksKbKPFHmHhDUpddIV7nXZJlOQWUF6bXRa9olSbNb6x60kgV+4G8G9FWHkG+qCqh3zDsmyTM3hI4o4WrMGS3a2fZnK1RWXS6bgOnMmTsOHn/X6amjPclM59/9+P/vz9jPZZzBv7V6BWWWgb9UHjO0VxP9uGdpu59CRdAmh9Omnn7JgwQJKSkoatbu7u/Pmm29y2223NVknJSWFyMhI9u3bx8CBA+3tV155Je7u7nzxxRds2LCByZMnU1RUhIeHh71P//79mTVrFs8991yr9y1JEoGBgdTU1BAeHs4dd9zBXXfdhaqFYfhnn32W5557rkn79u3bcW5FJEZbKSsr6xAB9ldF2LP9OJst43NrWLSriKxyZTphfJgjDwz3xEHTtRLQSTYzDiVJ6MvT0Vbn21/68pPoax22T8eqNpDf62YKoq5DVjV+QMuyzK6SXXyR8QWlFqXQbrhjOHN6zKG/a/8WhYDdnuXlSOt/R7VmDVJtpJzs44Nt5gzkiZPA6dxqwcmyTGWhlbykGvKPGzFWNC3C2qWQQOekImayCx5BbR9Vu1D3urHSSnGGmeJ0EyUZJsw1jR+vehcVniE6PIJ1uAdp0ejb+X6QZUhPR7VtG9L2HUi59akvZIMBecgQ5NGjkfv1A23rxXdZWRmFmkLW569ne/F2jDYjepWez1T9iDu+nC2aUdxc8QD3DvVgZvSZC0V3FSoqKhg1alSrhFKHTVjn5OTg6+vbpN3X15ecnJwW1wHw8/Nr1O7n50daWpq9j06naySS6vrUrd/aff/nP/9h8uTJGAwGfv/9dx599FEKCgr45z//2ezxPfXUUyxYsMD+vW5EqU+fPmJEqRsg7Nl+nM2WcXEwe7yVd34/zkdbUth8soqT5XBl/wBCvJwI9jDg6aSj0mSl0mihwmihxmylh5vSbrHZsFhlzFYbapVEhI8zzvqO+rka1HxzWTYUHofiNMUpvfgknPoTdfFJ/A9/hH/hTrjmM8X3qQH96Me1pmv5/PDnfJ3wNalVqbya/CoDfAbw2NDH6O/Tv8muGtlz1CjkJ5+gePH3FLz/Ptb8fNRffIlq6TLcrr4az5vnoQsOPrdTnaiMdGQnl3J8Ty5pRwqxmG32EiX28iR1FUXqSpdA0z6209rbExlMFTYSVpVzzVND8Apo239EO+tet5isZJ0osYfuN0zbAEq+q8AYD3tOIzdfQ4f4SRlTUihbtZqyVaswpaTY2yUHB5wnTsB15kycx45F5dC26LhqSzVrUtfwxbEvSK5KtrdHukXy2JBHiftBiUBcVjMEgOsnDCDEq30KO3c0ZWVNfdtaos2/PC2NqjRkz549QPPDqLIsn/VCOX15a9Y5vU9r9t1QEA2oLTXw/PPPtyiU9Ho9en37FKoUCC52HLRqHp8ey8RYX+79ei9phVW8s+HE2VdsAb1GhVoloZYkVCoJV4OG3j1c8XLW46hV46hTY9BpCHB3oH+QO76uegxa9bk/mFx7KK/wBm2yDIeWwJonIfsgfDQOLnsL+s1pvKrOlYcGPcRNvW/i0/hPWZy4mAP5B5i3ah439LqBu/vdjYdD4//sNUTS6fC8eR7uc66h9OefKfryS0wnkin+6iuKv/sOjxuux/vOO9H4tBxl1+K2VRIBUe4ERLm3ed2zIdvFVG2xGltj4VU3gdFQhJ0uzmRZqf+2/vMETiUWs+eXVKbf1TX+gyPLMoWnKmv9jArJOl6K1dJgdE4C3xCX2uk0L/wiXFF3UBkPU0aGXRwZExPrD0Gnw2ncWFxnzMBlwgRUTm3PAZVamsqSxCX8lPwT5aZyADQqDZeEXMLcmLkM9huMlHcUilKwqnT8bulPhLdTtxFJbaXNQumBBx7guuuuO2OfsLAwDh06RG5u04y3+fn5TUaM6vD3V/wYcnJy6NGjh709Ly/Pvo6/vz8mk4ni4uJGo0p5eXmMGjXK3qet+wYYMWIEZWVl5ObmnrGfQCBoPUPDPNn094msPJDFwYwSMkuqyCiqprTajLNeg5NejbNeg1atIrO4mvIaM1q1Co1aQqNSYbTYKKgwYrQ0ni4qrTaTUdQ0DLwhOrUKN0ct7gYt0f4uDA7xoIebA76uenxdHPBx0ePQFqdmSYL+10L4WFj+N0jbBj/8DRJWwrSXwL3xSI+ngyePDX2MW/rcwlv73mJl8kq+SfiGH0/8yLze87i598246FqeqlAZDHjMnYv7nDlUbt9O0aefUbltG8VffkXJd4txvfRSPG+5GYdeXSMc2+63VOekdB4+vWPnRrH4P7tJ3p9PUVblBUumWVVmUqLTaiPUqsoa+7Q5e+jt+YyCYz1xcO64Mibm7GzKVq+hbNUqag4frl+g0eA0epQijiZPRu3S9ukvs83MhvQNLElcwu6c3fb2QOdAxrqO5Z4x9zSO5kxQAqMSnYdRWWVgXHTbRXt3oc1CydvbG2/vs4f+jRw5ktLSUnbv3s2wYcMA2LVrF6WlpXZBczrh4eH4+/uzbt06u4+SyWRi8+bNvPLKKwAMHjwYrVbLunXrmDt3LgDZ2dkcPnyYV1999Zz3DbB//34cHBzOmL5AIBC0HWe9hhuGh3DD8HMra1BSZaLCaMFmA6ssY7XJ5JXVkJBTTnmNmWqTlSqTlUqTheS8ChKyyzFZbZisNvLLjeSXGzmeV8Gvh7KbbLtvoCtDQj0J8jAQ5OFIkIeBYE9H3AxneOC5BsDNK2HLq7Dl/xShdHwdjHsURj6o5HRqgI+jDy+OeZFLIy7lrb1vkVCUwIcHP+TbhG+5re9tDLQNbGFHCpIk4Tx6NM6jR1OxbRsF7y6i+sABSn/8kdIff8Rx2DC87roL5zGjz8m+XRGvQGciBvqQsj+fvWtOcsntnZPZ3Wq2kZ1cO52WUERBRkWj5RqdisBoD3tOIw9/xw5NO2DOy6P8t7WUrVpF9f799QtUKpxGDMd15kxcpkxBfY7PreyKbJYdX8YPx3+goFqJhlNJKsYFjmNuzFxGBYzi6JGjTVNeHFVS7yyvUq7d8TEXr1Dq8PQAWVlZfPTRR4ASoh8aGtooRD82NpaFCxdy1VVXAUp6gIULF/LZZ58RFRXFSy+9xKZNm5qkB/jll1/4/PPP8fT05LHHHqOwsLBJeoAz7fvnn38mJyeHkSNHYjAY2LhxI48++ii33norb7/9dqvOT6QH6F4Ie7YfXd2WsixTZbJSUm2mpMpEYYWJ/eklJGSXkVdeQ165kbxyIyZLy07NA4LdGRLqQYSPM+HeTkT6OOHjom/6UMw9Aqv+rowugRIpd+n/Qc8pzW7XJtv4Pf13Fu1fREqp4k/SQ9+DhRMXMtiv9YVEqw8epOiLLyj7bS3UluJwGjcW73vuxTBwQJfKGXSu5KeXs+SlPUgS3PDsCNz9Wje109ZM58XZVWQkFJF+tIispGLFb6sB3sHOip9Rby96RLih1nZsUIKluNgujqr27KmvPydJOA4ejMvMGbhOnYqmFYMWzWG1WdmetZ0liUvYcmoLNlk5Xy8HL2ZHzWZO9Bx6ONfP6jSxZ34SvDcUWaVhQNX71GhcOfjM1LaNzl5g2vL87tDsY9988w0PPfQQU6dOBZSkj4sWLWrUJzExkdLSUvv3xx9/nOrqau677z57wsm1a9faRRLAm2++iUajYe7cufaEk59//rldJLVm31qtlvfff58FCxZgs9mIiIjg+eef5/777+8QWwgEgs5DkiSc9Bqc9BoC3ZV8NKdPDciyTF65ke3JBRzLKSezuJpTxdVkFldTUGHkQEYJBzJKGq3j6aRjRl9/Hp4Sha9L7aiRXx+49Vclqebafyo5n76+GkbPh4lPg6axX6NKUnFJ6CVMCp7EqtRVvLH3DbKrs7l1za2MCxrHgwMfJNYz9qznaOjfn8A33sA3O5vCzz6j+NvvqNzyB5Vb/sChXz88b7kZ16lTkbSdX9G+vfAJcSEszouT8YXs/S2NyTe3zxRjdYWJzGP1OY0aJugEcHTT2ZM9BsV64uja9si7tmItK6N83XrKVq+mcscOu/gF5W/tOnMGLtOnoz0Pt5DC6kJWnFjBsqRlnKqoz0c1zH8Yc2PmMilkElpVK66XzS8DkOE5itIqZ8ZFeHUrkdRWRAmT80CMKHUvhD3bj4vdlrllNWxOzOdYTjmpBRWkFFSSUVRFXVUJVwcN71w/kAkxp0XXGsth/bOw53/Kd6+eMONV6Dm5xX2VGkv517p/saVoC1ZZeThODZ3K/QPvJ8ItotXHbExNpfCTTyhb+TOySfGj0fj7433P3bjPmdNsIsHuQE5qKctf2YtKJXHj8yNalYixaVFcGzkppXZhlJdebi/3AqDWqgiIcrcne/QMcOqUETlrRSUVGzdQtmo1FVu3QoN6dA69e9eKoxnoggLPeR+yLLM3dy9LkpawLm0dFpuSssNF58KVkVcyJ2bOWa8zuz1z4uGPN+DID4DE077v8226G/+6rDd3jAk/4za6Gl0ij9JfASGUuhfCnu3HX9GWRouVPanFvLLmGPGnSlFJ8OwVfbh5ZFjTzkd/gl8fg8o85Xuvy2HawibO3nXEx8fjEuLC+wffZ3XqagDUkprb+97Ovf3vRatu/aiQpbCQ4sWLKf72O6yFSrkYfVRPPG+7HdfLLj2nbN8XmpVv7ycjoZg+4wKZcEPTZMWnc+jQIUL8etr9jE4lFmM2Whv18Qp0svsZBfR0R6PrHCFpq66mYvNmRRxt3ozcIImxPioK15kzcJ0xA11Y2Hntp9xUzs/JP7M0aSknSuqjTeO845gTPYfp4dMxaFqX/Tt507dEnvoRjv9mbzOPmk+fzSMwWW2sXzCenr7tn0uwIxFCqZMQQql7IezZfvyVbWmy2Hh6RTzL9ioJKW8dFcY/L+2F5vQw8JpS2PQy7PoIZKtSsHfKszD8bjhttKKhPROLEnl3/7tsztwMQLBLMPcNuI8ZYTNQq1r/MLeZTJR8v4T8RYuw1bo3qL298bj+Ojyuvx6Np+c5WqDzyTpeworX96HSSMz7zyicPZqmaampNHMqsZj0hCKSD+RgLG/sZ2Rw0RIU60lIHyU6zcm981K92EwmKv/4g7JVqynfuBG5qkGW9LAwuzjSR0Wd976OFh5lSeISVqWuotqiRIUaNAZmhs9kTswc+ni10ileliF5gzKClLZVaZNU0Gc2jHmEDSU+3P75nwR5GPjj8YndzidOCKVOQgil7oWwZ/vxV7elLMt8sDmZV9co+WsGhbjz+twBhHs3E8Kee0QZXUrfrnzvdTnM/D9wqS/r0pw9155cy0u7XqKwRhkV6unekwcGPtCqkigNsZaWUrJ0KUVffY2lNm2KpNfjefPNuF01SwklV6nq6o/UlhNp+FLVliqRWu6nUnX4g3LF6/vIOl5Cv4lBjL02GpvVRu7JcqVEyNEi8k6WNUp8qdJI9Ih0tyd79A5yRlJ13sNcNpup3LFDEUfr12OrqI+e0wYGKuJo5kz0sbHnbbu6xJBLk5YSXxBvb490i2RuzFwuj7z8jGkoGmGzwbFf4I/XIfuA0iRpUA28EUY/bE+w+sxPh/liRxo3Dg/hxau632+BEEqdhBBK3Qthz/ZD2FJhVXw2jy87RIXRgoNWxZPTY7l5ZBiq0x/IsqyMLK39J9jMoHdVHL2H3glqTYv2rDJX8e2xb/n08Kf2xH/9fPrxn1H/IcK99f5LoDy4y35bS9HnnzfOwdPenEFMIdXWfmvQp/l+oO0RQMCLL9hHWTISilj59gEklURwLw9ykkvtBX/r8PB3JLi3JzZDGaOmDkSr71y/LNlqpWr3bkUcrV2LtUGgksbPD9fp03G9dCYOcXHtIixbTAwZeglzo2sTQ7Z2P1azEpDwxxtQUJvAUusIg28lwWMKvYY39rMb/9pG0gqr+O+8wZ1fy7EdEEKpkxBCqXsh7Nl+CFvWk1lcxePLDrE9WRn5GRnhxWtz+hHk0Uwoe9Z++OUR5R3Atw9c+jrxZc5ntGeZqcxeEqXaUo1OpeOWPrdwa99bcdW17bdHlmUqNmyg6LPPqT50yO743RXRhoYQvnw5amdnZFlmw1fHOLa9PheW3klDcKynPeGji6cSidiZ16dss1G9b5+SJfu33+x+YQBqLy9cp03DdeYMDIMGIbVQR7QtnCkx5DXR13BVz6ua5jw64wZr4MDXsO1tKElX2vRuMPwuGH4POHk3sWdKfgWTXt+MVi2x/99TO7C8UMchhFInIYRS90LYs/0QtmyMzSbz1c40Fq5OoMZsw8NRy/9uGcLg0Gb8gGxW2Pcl/P4cVBcDkB91HT7XvQfqMz9wcitzeWbHM2w7peRsctG5cHvf27kh9gYctedePkKW7fVD7K9GbbYG9eCo/96knywj2+xF4E7rB8i20/rW1TBR+sq1heVkk5FTD8/HnJWF72OP4vW3v9mP88iWU9RUWQju5YlPiEvT0Ts6/vqUZZmaQ4cUcbRmjX1KE0Dt5obL1Km4XjoTx6FD2y3aMLsim6VJS1lxYkWziSFHB45GJbVBiBnL4c9PYfui+qADJx8YeT8MuQMc6p9pp9uzbtptXLQPX94+rF3Or7MRQqmTEEKpeyHs2X4IWzZPakElD323n/hTpeg0Kp6YHstto5qZigOoKlJSCez7QvkeNBQuexP8z2xXWZbZkL6Bd/e/S3KpUqjU2+DNAwMeYHbU7G7nVNsSJcuWkf3Pf6ELDSVizeo2nVdHXJ+yLGNMSKBs9WrKVq3GfKo+D5HK2RmXKVNwnTkDp5Ej2y13ldVmZVvWNpYmLm2UGNLb4M3sqNlcE3VNo8SQraKqCHZ9qEwF15QobW7Biv/RwJtA2zQSrs6esiyz9mguD363H5PFxrd/G86onueW9PJCI4RSJyGEUvdC2LP9ELZsmSqThfmLD7D2qDLKMCLCk9eu6U+wZwsjPkdXYv3hbtSWKiWqaNjdMPEpcHA7436sNiurUlfx3oH37MkDRweO5smhTxLmFtaep3RBsFVWcnzsOGxVVYR+9SWOQ4e2et32vD6NJ05QtmoVZatWYzp50t4uOTriMnGiIo7GjEHVjgXT2y0xZEPKsmHHIvjzMzBXKm1eUTB2AcTNgTOkoIiPj8fkGsjCVcf4M00ZBR0R4cl3d47otsK8y2TmFggEgr8ajjoNH80bzDe70nlpVQI7U4qY8fYf/OuyXswdEtz0wdL7CpLKneiV/hUcWQG7PlAS+k19QXmAtfAgUqvUXB55OdPDpvNNwje8u/9dtp3axqysWVzZ80ru7X8v/k7dz8m2DpWTE66XXkrJ0qWULFvWJqF0vphOnrSPHBmPH7e3S3o9zuPH4zpzJs7jx6EytC4PUWuwJ4ZMXMK69HNLDNksRSmK/9GBb8Fa64/m3w/GPQaxl8FZUk4k51fw0pZ8dmQo/ksOWhV/GxPBPRMiu61IaitiROk8ECNK3Qthz/ZD2LJ1pBVW8uiSg/b/hV/eP4DXrunXpNyD3Z7JG5S6cYW1CQL7XadMx+nO7n+UUpLCm/veZFPGJgC0Ki3XxlzLXf3uwsPBoz1Pq9OoPnSIk3OvRdLridqyGbXbmUfZ6jiX69OUeYryNYo4qjl6tH6BVovzmDG4zpyB88RJqJ2bSQFxHpwpMeTcmLlMC5vW6sSQjcg9ClvfUCLZaqfsCBkFYx9VMsWfReTkldXw1u/H+X5PBlabjEqCa4cGM39KNH6uDmdctzsgRpQEAoGgCxDq5cT3d4/kk60pvPZbIj8fzCKntJq3rxtIgHszD7/ISXDvdmUEYNPLcGgxZO6GGa9BVPNFduuIcI/g3UnvciDvAO/sf4c9OXv4OuFrVqeu5tlRzzIheELHnGQH4hAXhz46GmNSEqW//ILnjTe26/bNubmUr1lD2arVVB88WL9ArcZp5EhcZ8zAZcrkVgu0tnCmxJBzY+bS26v3uW04c6+SAynx1/q2npcoU2yho866eoXRwn83J/PxH6lUm5X0C8ODDLwwZyhRfq3MxXSRIYSSQCAQdCBqlcRd4yLpG+DG3V/tZc/JYqa9uYVnr+jD7EGBTacvNHoY/ziEjIDldypTJ99cDb2ugOkLwS3ojPsb4DuAT6Z+ws7snbyy+xWSS5N5cMODDPcfzoODHqS/T/8OPNv2RZIk3K+5htyXXqJk6TI8brjhvKd7LIWFlP32G+WrVlO1dy/2LJWShOOwYYo4mjYVjUf7j8LVJYZckriEw4X1uazOKTFkQ2QZUrcoAil1c22jBL2vVARSj7P/zc1WG9/tTuft9ccprFSm6AaGuPP0zF44lJ/6y4okEFNv54WYeuteCHu2H8KW50ZqQSULlhxgf3oJANP6+PHSVXFkpSY1b8+astoyKB8qZVC0Toqj94j7lcSMZ8FoNfLe/vf4OuFrzDal4OrE4Ik8OPBBojzOv1xGZ2AtKeH4uPHIJhNhy5Zh6Hv2EhxNiuKWlFC2bh3lq1dTuXOXkragFsOgQXZxpPX1bW5z501KaQpLE5c2mxjy2phrGeQ76NwEoM0GSWsUgXTqT6VNpVGmbMfMB++z/41lWWZVfA6v/XaMk4VKaZVwbycenxbD9L7+SJJ0Ud7vYupNIBAIuiDh3k4svXskH21J4a31Sfx2JJc/Txbz6Eh3mn0OObjC9JdgwA3w66OQsVPJ7p22A2a9B4Yzj3ro1XoWDFnAdbHX8cHBD1iZvJKNGRvZlLGJeb3ncUfcHXjoPbq0U67a3R2XqVMp++UXSpYtbZVQArCWl1P++++UrV5N5bbtYLHYlznExeE6YwauM6aj7dHG8PpWYraa2ZDRjokhG2K1KI7/W9+AvFp/Ko0DDLoFRj3YYvHl09mZUsjC1cc4mFECgLeznoenRHHd0GC0p9cu/AsjRpTOAzGi1L0Q9mw/hC3PnyNZpSz4/iCJueVoVPDanP5cNfAM02o2G+z7HFY/oUQvOfnAJf+B/ted1TG3jpTSFBbtX8S6tHVNlkkopUTs/6T697pEhvbvKGVGGn6vE1sqSWXfBlLj7w232dy7fT+ShIfeg/+M/g8BzgFU7txF+q23onJyIuqPLagcm3dut1VVUb5xI5mLv0d98GCjrOP62Fi7ONKFhLTKXudCXWLIH47/YK/Td16JIRtiMcLB72DrW1CcqrTpXGDY32DEfeDcuhGxxJxyXllzjA3HlESTjjo1d42L4M6xETg1k2X7YrzfxYiSQCAQdHH6BLjx0wOjWbDkAKvic3jk+4NsTsznuSv64ubYTE4blQqG3K74m6y4BwqS4Md7YP9XSpFdv7M7/0a4RfDGhDfYnLGZ9w68R0JRgn2ZTG2W7fqGC86/t/2bj6d+jOOwoWhDQjCnp1O25jfcZ19l7yObzVRs20bZz79QvmEDcnU1KpTD10VE4DpzJq4zZ6CPOIfQ+lbSIYkhG2KqhL2fw/Z3oby2hIujF4y4V6kXaHBv1WayS6t5c10Sy/ZmYpMV/7kbhoXw0OQofFzaLw/UxYYQSgKBQHCBcNCqWXT9IJ6St7L0SBk/HshiZ0oRr83px9gon+ZXChwM92yDne/B5lchbRt8NBZGz1cK7Z4lLw7A+ODxjA8eT4WpApPNhCzLdqHU3LtNtiFTW16kwXd7H1lu/L323YbNvk7d9zoxZt/G6ftEptJUyZN/PMmunF1szNjIpJBJuF99NflvvknJ99/jNutKqg8epOznXyhbvRprcbH93LQhIRgHDyby1lvQR0d36LRiS4khh/sPZ27MXCaGTGx7YsiGVBfD7o9h5wdQXaS0uQTA6Idg0M2ga12qgtJqMx9uTubTrakYLYqIm9HXn79PiyHCx/ncj+8vghBKAoFAcAFRqSRu6u/OteP68uiSg6QWVDLvk93cMjKUpy/thV7TjPDR6GDMI9D3GljzJBz7Bf74P8jaB1e+D66tG71w1nXdh+TcvLl8efRL1pxcw6SQSbhdNYv8RYuoPniQ42PGYi0qsvdVe3nhOnMmbpdfhkNcHIcPH8YhJqZDjutsiSHnxswl3C38/HZSnqsI4T2fgKlCafOMUP7m/a5VIiNbgdFi5asdaSzaeIKSKsWZf1iYJ0/OjGVQSPfMrXUhEEJJIBAIugCDQjz49aExLFx1jK92pvHFjjRO5Ffw4U2DcXFoYVTCPRiu+wbil8HKB5WElYuGKpFxw+4+a5HdrszUsKl8efRLNmdsxmg1ovf1pcdzz5H99NNYi4qQHB1xvWQKrpddjtPIEUiajj3XclM5K5NXsjRxqb3GHtQnhpweNh0HzXkmYixOg+3vwL6vwGpU2vz6KiH+vWe1arQQlCLNKw9m8X9rE8ksVnI0Rfk688T0WCb38u3Szvtdke57FwkEAsFFhqNOw39m9WVirA8PfrufbScKuWLRNl6f2//MIwBx14Bvb0UsnfoTfntaKVlx6etKPqZuSJx3HH6OfuRW5bL91HYmhkzEffZVaHy8sVVW4jxuXItO3e3JkcIjLE1c2v6JIRuSnwhb34RDS5Q0EKAUSR77GERPa7WzPsDW4wUsXJ3AkawyAPxc9Sy4JJqrBwWhEZFs54QQSgKBQNDFmBTrx+K7RnLXV3+SWlDJNR9s5/6JPXlwUhQ6TQsPO7/ecMc62P8lrH8Wcg/Dp9OUaKhLnj9j0dOuiEpScUnoJXyd8DXr0tYxMWQiAM5jx3b4vltKDNnTvSdzY+ZyWcRl55YY8nSy9sMfb0DCz9i95yMmKmVGwsa0SSAdySrl5dXH+ON4AQAueg33TIjk9tHhGHStG4kSNI8QSgKBQNAFiQtyY83D43hm5WF+PJDFuxtOsDExjzfmDiC6pSzJKhUMvhViL4f1zygRcTvfh+xDcMU74BXZqedwvtQJpU0ZmzBbzWg7WOx1WGLIhsgypG1XkkQm/17fHnuZMsUWOLhNm8ssruL1tUn8eOAUsgxatcRNI0J5cFIUnk668ztWASCEkkAgEHRZ3By1vHXdQC7p7c8/fozn8Kkyrly0jfdvGsTEmDPkzHHygisXQfR0WHE3pG2F90cqzsBjHgFt9yhqOsB3AD4GH/Kr89mZvZOxQe0/mnSmxJBzoucwq+esc08M2RBZhuPrFIGUsVNpk9QQN0fJou3bq02bK6kysWjDCb7ckYbJqkSyXdE/gMemxhDi1fFTkn8lhFASCASCLs6l/XowNMyDR5YcYNuJQv72xZ88NSOW20eHo1KdYYSj12Xgu0XJ6p2yETa/DIe+h5mvQdQlnXcC54hKUjE5ZDKLExezLm1duwqlFhNDBo1jbvR5JoZsiM0KR39Spthy45U2tQ4G3gSjHwaPsDZtrsZs5fPtJ3l/4wnKapSIu1GRXjw1oxdxQe1fvFcghJJAIBB0C3xdHfj8tmE8vuwQK/af4oVfE9hwLI/X5vQn0N3Q8opekTBvBRz9EdY8pWR0/uYaGHIHTP1Pq3PxXCguCb2ExYmL2ZCxgX/Z/nVeeYnqEkMuSVzCH6f+aP/EkA2xmCB+ieKkXXhCadM6wdDbYeQD4OLfxmOX+WFfJm+sSyK7tAaAWH8XnpwRy/hoHxHJ1oEIoSQQCATdBK1axRtz+zM41IMXf01ge3Ih09/cwnNX9uGqgYEtPywlCfpcBT2nKEV2d7wHf36i+DDpXVDqkahqnYcl5V1SNfjcoP1sfe3LaUNfqem+HL1g5msM8huEp4MnRTVF7MnZw6iAUW22W4cnhmyIqUqx67Z3oCxTaXNwV7JoD7sLHD3btDlZltmUmM8ra45xLEfxmwpwc+DRqTHMGhiI+kwjioJ2QQglgUAg6EZIkuKsO7qnNwuWHGB/egkLlhxkc1I+r17Tr/kElXXoXWDaixA2VklUWZwKVYWdd/BtReeI5sr3mBQyiWVJy1iftr7VQkmWZf7M/ZOliUsbJYZ01blyZc8rmRM95/wTQzakphT2/A92vA9VSuQZzv4w6gHFwV7f9ii5gxklLFydwM4UJbmmq4OGByb15OaRYThoRSRbZyGEkkAgEHRDwr2dWHr3SD7cnMxb64/z04EsCitMLLphIO6OZ4l2ipmu5OcpPgmWGsXRWLah1BuRa99tDT7Lp322Nf+5XdYDKvMVIbf/GxhxP5eEXsKypGX8nv47/xj+D9RnSLxYbirnt7zf+NdP/2qUGLKfdz/mxMxpn8SQDaksUCILd38MRiV3Ee6hioN2/xvOyXE+rbCS135L5JdDSl03nUbFraPCuG9C5Nn/toJ2RwglgUAg6KZo1CoemBTFgGAP7vrqT7aeKGDaW1t49Zr+jI9uoVZcHZIEnu04otLepP4Bib/C0R8ZOv7vuOndKKopYl/ePob6D23S/VjRMRYfW9xsYshrY66ll1fbosrOSmkmbF+kFKut3R8+sUoOpD6zzykrekmViXc3nODLHScxW2UkCa4aGMijU2PO7Icm6FCEUBIIBIJuzpgob5bcPZKHvttPSkElt3y6m3kjQnlqZiyOum76Mx97qSKUjq9DO/FpJgVPYsWJFaw9udYulCw2C7+n/863Cd+yL2+ffdUghyBu7n9z+yWGbEhhsuKgfXAx2JT6aQQMUgRSzEwll1UbqavJ9s7vx+2RbOOifXhyeiy9A1zb8+gF50A3vYMEAoFA0JC+gW78+tBYXl6dwBc70vhqZxpbTxTw7vUD6RvYDcPGe05W3rP2Q2UBU0KnsOLECtalrePmPjfz28nfWHxsMblVuQBoJA1TQqdwXex1aHO19Ivt177HkxOvhPgf/bF22hDF12vsoxAxoU1ZtOuQZZlf47N5Zc0xMoqUUalYfxeentmLcWcbERR0GkIoCQQCwUWCQafmuSv7MqW3H39feojUgkqu/WgH/715CKN7el/ow2sbLv7gF6fkHkreyMg+swhwCiCrMouZP8y0d/N08OSa6GuYGz0XPyc/AOLz4tvvONJ3KUkij/9W3xY9Q8miHTzsnDe7N62IF35NYH96CQC+LnoemxrD1YODRCRbF0MIJYFAILjIGBvlw2/zx3Hft3vZdqKQWz7dzfwpUdwzPrJ7FUbtOVkRSifWo+03h1fGvcJta27DIlvo49WHG3vdyLSwaejU7ezgLMuQvEEZQUrbqrRJKsX3aMwj4N/3nDd9sqCSV9YcY/XhHAAcdWruHhfJnePCu+806UWO+KsIBALBRYibo5ZPbx3K35ceYuXBLP5vbRK/H1NqxYV7d+0kk3Z6ToFtbyk10Ww2BvgO4PvLv8dis9DLs1f7J1m02eDYL8oIUvYBpU2lhQE3KFm0z6NWXnGl4qj91U7FUVslwdwhwSy4JBpf1+5RUuavSof+16K4uJh58+bh5uaGm5sb8+bNo6Sk5IzryLLMs88+S0BAAAaDgQkTJnDkyJFGfYxGIw8++CDe3t44OTlxxRVXkJmZ2ajPiy++yKhRo3B0dMTd3b3ZfaWnp3P55Zfj5OSEt7c3Dz30ECaT6XxOWSAQCLoMeo2at68bwBtz++Oi17A/vYSZb//BVzvTkOtC8bsywcNB56ykC8g5BEC0RzS9vXq3r0iymhXn7PdHwJJ5ikjSOsKI++Dhg+dVULjGbOXjLSmMf20jn25LxWyVGR/tw6qHx/Ly1f2ESOoGdKhQuuGGGzhw4ABr1qxhzZo1HDhwgHnz5p1xnVdffZU33niDRYsWsWfPHvz9/bnkkksoLy+395k/fz4rVqxg8eLFbN26lYqKCi677DKsVqu9j8lkYs6cOdx7773N7sdqtXLppZdSWVnJ1q1bWbx4McuXL+fRRx9tn5MXCASCLoAkScweFMSaR8YxKtKLarOVf/14mL8vO4TJYrvQh3dmNDoIH698PrG+/bdvrlGSRL47SCkeXJAIejcY93eYHw/TF4Jb4Dltutpk5X9/pDDu1Y28uCqBshoLsf4ufHn7ML64fRix/iKarbvQYVNvCQkJrFmzhp07dzJ8+HAAPv74Y0aOHEliYiIxMTFN1pFlmbfeeot//OMfzJ49G4AvvvgCPz8/vv32W+6++25KS0v55JNP+Oqrr5gyZQoAX3/9NcHBwaxfv55p06YB8NxzzwHw+eefN3t8a9eu5ejRo2RkZBAQEADA66+/zq233sqLL76Iq2vTi9hoNGI0Gu3fy8rKztE6AoFA0LkEuhv4+o7hfLb9JC+tSmDZ3kzWJ+Ti66JHQqqtHiIhoQRwqaTaNpQGCVCd1qfRZyRUKuzbgsbbkCQJVW1Zk7o2+3KJJsfg6aTj0anRuPScrKQJOPE7jHusfYxhLIc/P1XyIFXmKW1OPjDyfqUGnsO5ixiL1cbSvZm8uS6JvHLledHDzYFHpkQLR+1uSocJpR07duDm5mYXSQAjRozAzc2N7du3NyuUUlNTycnJYerUqfY2vV7P+PHj2b59O3fffTd79+7FbDY36hMQEEDfvn3Zvn27XSi15vj69u1rF0kA06ZNw2g0snfvXiZOnNhknYULF9oFWEOOHDmCs7Nzq/bbFsrKyoiPb8fojb84wp7th7Bl+9KZ9hzmBk+P9eK93cUUVZkpqTJ3yn7PhYqSIv4WHUQsIGfs4ui+Hdi0Z/+tbcmeamMpXsnL8DqxDI1ZmaUwOfqRH30DxWGXIav1cDztnI5VlmX2nKrm8/0lZJQpuZB8ndTM7evGpHAntOoSjh4pOadtX2guxvu9oqKi1X07TCjl5OTg6+vbpN3X15ecnJwW1wHw8/Nr1O7n50daWpq9j06nw8PDo0mflrbb0r5O34+Hhwc6na7F7Tz11FMsWLDA/r2srIzg4GD69OnT7AjU+RIfH09cXFy7b/evirBn+yFs2b50tj3j4uCWqTYOZpZiNFuRAZssK5VFUB769ve6iiMN+oDybpNB5rT1GrbJtesoqyAjK+s06lO3r/rPWSXVfPxHKqtPVPKPqyfBniikwuP0cciH3iPPen5N7FmWDTsWwZ+fgblSafOKgrEL0MXNIVCt5dwm2BQOZJTw0qoEdqcqNdncHbU8OCmKm0aEnLn2XjfhYrzf2zIj1Gah9OyzzzY7qtKQPXv2ADTrbCfL8lmd8E5f3pp1WtPnbPs523b0ej16vb5N+xAIBIKuiEatYnCox9k7XgBkWWbriUISssv4NT6bm3pOgcLjip9S7ytav6GiFNj2Nhz4Fqy1gTr+/ZQpvNjL4Aw141pDWmElr/6WyK8NarLdPjqceydE4mbQnte2BV2HNgulBx54gOuuu+6MfcLCwjh06BC5ublNluXn5zcZyanD398fUEZ7evToYW/Py8uzr+Pv74/JZKK4uLjRqFJeXh6jRrWuqnTddnbt2tWorbi4GLPZ3OLxCQQCgaDjkSSJqb39SMguY1dqETcNmQK7PlD8lGT5rFmw9aUpsPxtOLy8Pot2yCgli3bPyeeURbshhRVG3t1wgq93pmGxKTXZZg8MYsHUaFGT7SKkzULJ29sbb++zZ3gdOXIkpaWl7N69m2HDlOylu3btorS0tEVBEx4ejr+/P+vWrWPgwIGAEr22efNmXnnlFQAGDx6MVqtl3bp1zJ07F4Ds7GwOHz7Mq6++2urzGDlyJC+++CLZ2dl2UbZ27Vr0ej2DBw9u9XYEAoFA0P6MiPDi7d+PsyulEPnqUUgaByjLhPxE8I1tfqXMvfDH60Qn/lrf1vMSJYt2aOv/I90S1SYrn25L5YNNyVQYFT+k8dE+PDkjll49RBTbxUqH+Sj16tWL6dOnc+edd/LRRx8BcNddd3HZZZc1cuSOjY1l4cKFXHXVVUiSxPz583nppZeIiooiKiqKl156CUdHR2644QYA3NzcuOOOO3j00Ufx8vLC09OTxx57jLi4OHsUHCg5koqKikhPT8dqtXLgwAEAevbsibOzM1OnTqV3797MmzeP1157jaKiIh577DHuvPPODvE3EggEAkHrGRjijk6tIq/cyMkymfDQ0UriyRPrmgqlvGOw/llIWg2AjITU+0pFIPXof97HYrXJLNubwRvrksgtUyLZ+gS48tSMXoyJ6malYQRtpkMzc3/zzTc89NBD9gi1K664gkWLFjXqk5iYSGlpqf37448/TnV1Nffddx/FxcUMHz6ctWvX4uJSXwH6zTffRKPRMHfuXKqrq5k8eTKff/45anX9fPO///1vvvjiC/v3uhGqjRs3MmHCBNRqNb/++iv33Xcfo0ePxmAwcMMNN/B///d/HWILgUAgELQeB62aAcHu7D5ZxK6UQsJ7TqkVSuth1INKp9yjsPVNOLxMmWKT1ND/OpJ8LyVm1KXnfQyyLLMxMY+XVx8jKVeJkgp0N/D49Bgu7xeASoT6/yWQ5G6RnrVrUlZWhpubG6WlpSLqrRsg7Nl+CFu2L8KezfP62kTe3XCCqwYG8uYkR3hvqFJS5OqP4dBSJb9SHbGXwZRnwTuqXex5MKOEhasT2JmiRLK5GbQ8OKkn80aGXhSRbG3hYrw+2/L8FrXeBAKBQNAlGR7uxbucUPyU5vRDipgIKRth6a21PSQlCm7MAggY0C77TCus5LXfEvmlQSTbbaPDuG98T9wcRSTbXxEhlAQCgUDQJRkU6o5GJZFVWkNmSQ3Bl78FH45TciH1uxZGzwef6HbZV1GliXc3HOfrnWmYrUok21UDA3l0aoyIZPuLI4SSQCAQCLokjjoN/YLc2Jdewo6UQoKHhMGDfyoLnZsmND4X6iLZPtyUTHltJNvYKG+enBFLnwC3dtmHoHsjhJJAIBAIuizDI7zYl17CrpQi5g4JbjeBZLXJLN+XyRtrk8gpqwGgdw9XnpoZy9gon3bZh+DiQAglgUAgEHRZRkR48cGmZHalFrbL9mRZZlNSPi+vOkZirlLvLdDdwGPTormyf6CIZBM0QQglgUAgEHRZBod6oFZJZBZXc6qk+rz8heIzS1m4OoHtyYrocnXQ8OCkKOaNDMVB+9eKZBO0HiGUBAKBQNBlcdZr6BvoxsGMEnalFDJ7UFCbt5FRVMVrvyWy8mAWADq1iltHh3HfhEjcHXXtfciCiwwhlAQCgUDQpRkR7lkrlIraJJSKK028u+EEX+08idmqpAy8amAgCy6JJtjTsaMOV3CRIYSSQCAQCLo0wyM8+WhLSqv9lIwWGx9sSub9TScor1Ei2cb0VCLZ+gaKSDZB2xBCSSAQCARdmiFhnqgkOFlYRW5ZDX6uDs32s9pkVuw/xcu/ZlNQZQWgVw9XnpoRy7hoEckmODeEUBIIBAJBl8bVQUvvAFcOnypjZ0ohVw4IbNJnV0ohz6w8wrEcJZItwM2BR6fGMGtgIGoRySY4D4RQEggEAkGXZ3i4F4dPlbErtaiRUCqoMPLK6mMs3ZsJgIuDhmt6OfPE7BEikk3QLgihJBAIBIIuz4gILz7ZmsrOFMVPqcpk4ZM/UvlwczKVJmWa7fphITw+LYbMlEQhkgTthhBKAoFAIOjyDAvzRKOSSMmv5IVfjrLyYBZ55UYA+gW58czlvRkc6glA5oU8UMFFhxBKAoFAIOjyuDlquWlEKJ9vP8n/tqYCEOxp4O/TYrksrofIqC3oMIRQEggEAkG3YP6UKNYn5FJptPDgpChuHBGCXiOm2AQdixBKAoFAIOgWuDvq+P3R8aglCY1adaEPR/AXQQglgUAgEHQbxAiSoLMRklwgEAgEAoGgBYRQEggEAoFAIGgBIZQEAoFAIBAIWkAIJYFAIBAIBIIWEM7c54EsywCUlZV1yPYrKio6bNt/RYQ92w9hy/ZF2LN9EfZsXy5Ge9adT91z/EwIoXQelJcrxReDg4Mv8JEIBAKBQCBoK+Xl5bi5uZ2xjyS3Rk4JmsVms5GVlYWLiwuS1L5ZYcvKyggODiYjIwNXV9d23fZfEWHP9kPYsn0R9mxfhD3bl4vVnrIsU15eTkBAACrVmb2QxIjSeaBSqQgKCurQfbi6ul5UF+eFRtiz/RC2bF+EPdsXYc/25WK059lGkuoQztwCgUAgEAgELSCEkkAgEAgEAkELCKHURdHr9TzzzDPo9foLfSgXBcKe7YewZfsi7Nm+CHu2L8KewplbIBAIBAKBoEXEiJJAIBAIBAJBCwihJBAIBAKBQNACQigJBAKBQCAQtIAQSgKBQCAQCAQtIIRSF+T9998nPDwcBwcHBg8ezB9//HGhD6lbsHDhQoYOHYqLiwu+vr7MmjWLxMTERn1kWebZZ58lICAAg8HAhAkTOHLkyAU64u7DwoULkSSJ+fPn29uELdvGqVOnuOmmm/Dy8sLR0ZEBAwawd+9e+3Jhz9ZjsVj45z//SXh4OAaDgYiICJ5//nlsNpu9j7Bny2zZsoXLL7+cgIAAJEnixx9/bLS8NbYzGo08+OCDeHt74+TkxBVXXEFmZmYnnkUnIgu6FIsXL5a1Wq388ccfy0ePHpUffvhh2cnJSU5LS7vQh9blmTZtmvzZZ5/Jhw8flg8cOCBfeumlckhIiFxRUWHv8/LLL8suLi7y8uXL5fj4ePnaa6+Ve/ToIZeVlV3AI+/a7N69Ww4LC5P79esnP/zww/Z2YcvWU1RUJIeGhsq33nqrvGvXLjk1NVVev369fOLECXsfYc/W88ILL8heXl7yL7/8IqempspLly6VnZ2d5bfeesveR9izZVatWiX/4x//kJcvXy4D8ooVKxotb43t7rnnHjkwMFBet26dvG/fPnnixIly//79ZYvF0sln0/EIodTFGDZsmHzPPfc0aouNjZWffPLJC3RE3Ze8vDwZkDdv3izLsizbbDbZ399ffvnll+19ampqZDc3N/nDDz+8UIfZpSkvL5ejoqLkdevWyePHj7cLJWHLtvHEE0/IY8aMaXG5sGfbuPTSS+Xbb7+9Udvs2bPlm266SZZlYc+2cLpQao3tSkpKZK1WKy9evNje59SpU7JKpZLXrFnTacfeWYipty6EyWRi7969TJ06tVH71KlT2b59+wU6qu5LaWkpAJ6engCkpqaSk5PTyL56vZ7x48cL+7bA/fffz6WXXsqUKVMatQtbto2VK1cyZMgQ5syZg6+vLwMHDuTjjz+2Lxf2bBtjxozh999/JykpCYCDBw+ydetWZs6cCQh7ng+tsd3evXsxm82N+gQEBNC3b9+L0r6iKG4XoqCgAKvVip+fX6N2Pz8/cnJyLtBRdU9kWWbBggWMGTOGvn37Atht2Jx909LSOv0YuzqLFy9m37597Nmzp8kyYcu2kZKSwgcffMCCBQt4+umn2b17Nw899BB6vZ6bb75Z2LONPPHEE5SWlhIbG4tarcZqtfLiiy9y/fXXA+L6PB9aY7ucnBx0Oh0eHh5N+lyMzyohlLogkiQ1+i7LcpM2wZl54IEHOHToEFu3bm2yTNj37GRkZPDwww+zdu1aHBwcWuwnbNk6bDYbQ4YM4aWXXgJg4MCBHDlyhA8++ICbb77Z3k/Ys3V8//33fP3113z77bf06dOHAwcOMH/+fAICArjlllvs/YQ9z51zsd3Fal8x9daF8Pb2Rq1WN1HkeXl5TdS9oGUefPBBVq5cycaNGwkKCrK3+/v7Awj7toK9e/eSl5fH4MGD0Wg0aDQaNm/ezDvvvINGo7HbS9iydfTo0YPevXs3auvVqxfp6emAuDbbyt///neefPJJrrvuOuLi4pg3bx6PPPIICxcuBIQ9z4fW2M7f3x+TyURxcXGLfS4mhFDqQuh0OgYPHsy6desata9bt45Ro0ZdoKPqPsiyzAMPPMAPP/zAhg0bCA8Pb7Q8PDwcf3//RvY1mUxs3rxZ2Pc0Jk+eTHx8PAcOHLC/hgwZwo033siBAweIiIgQtmwDo0ePbpKqIikpidDQUEBcm22lqqoKlarx40utVtvTAwh7njutsd3gwYPRarWN+mRnZ3P48OGL074XzI1c0Cx16QE++eQT+ejRo/L8+fNlJycn+eTJkxf60Lo89957r+zm5iZv2rRJzs7Otr+qqqrsfV5++WXZzc1N/uGHH+T4+Hj5+uuvFyHDraRh1JssC1u2hd27d8sajUZ+8cUX5ePHj8vffPON7OjoKH/99df2PsKereeWW26RAwMD7ekBfvjhB9nb21t+/PHH7X2EPVumvLxc3r9/v7x//34ZkN944w15//799jQ0rbHdPffcIwcFBcnr16+X9+3bJ0+aNEmkBxB0Hu+9954cGhoq63Q6edCgQfbwdsGZAZp9ffbZZ/Y+NptNfuaZZ2R/f39Zr9fL48aNk+Pj4y/cQXcjThdKwpZt4+eff5b79u0r6/V6OTY2Vv7vf//baLmwZ+spKyuTH374YTkkJER2cHCQIyIi5H/84x+y0Wi09xH2bJmNGzc2+1t5yy23yLLcOttVV1fLDzzwgOzp6SkbDAb5sssuk9PT0y/A2XQ8kizL8oUZyxIIBAKBQCDo2ggfJYFAIBAIBIIWEEJJIBAIBAKBoAWEUBIIBAKBQCBoASGUBAKBQCAQCFpACCWBQCAQCASCFhBCSSAQCAQCgaAFhFASCAQCgUAgaAEhlAQCgUAgEAhaQAglgUAgQKmWLkkS7u7u572tsLAw+/ZKSkrOe3sCgeDCIYSSQCAQ1PLZZ5+RlJR03tvZs2cPy5cvb4cjEggEFxohlAQCgaAWd3d3fH19z3s7Pj4+eHp6tsMRCQSCC40QSgKB4KLj5MmT9qmvhq8JEya0aTvPPvssAwYM4NNPPyUkJARnZ2fuvfderFYrr776Kv7+/vj6+vLiiy92zIkIBIILjuZCH4BAIBC0N8HBwWRnZ9u/5+TkMGXKFMaNG9fmbSUnJ7N69WrWrFlDcnIy11xzDampqURHR7N582a2b9/O7bffzuTJkxkxYkR7noZAIOgCCKEkEAguOtRqNf7+/gDU1NQwa9YsRo4cybPPPtvmbdlsNj799FNcXFzo3bs3EydOJDExkVWrVqFSqYiJieGVV15h06ZNQigJBBchQigJBIKLmjvuuIPy8nLWrVuHStV2b4OwsDBcXFzs3/38/FCr1Y225efnR15eXrscr0Ag6FoIoSQQCC5aXnjhBdasWcPu3bsbiZ22oNVqG32XJKnZNpvNds7HKRAIui5CKAkEgouS5cuX8/zzz7N69WoiIyMv9OEIBIJuihBKAoHgouPw4cPcfPPNPPHEE/Tp04ecnBwAdDqdCNsXCARtQqQHEAgEFx1//vknVVVVvPDCC/To0cP+mj179oU+NIFA0M2QZFmWL/RBCAQCwYVGkiRWrFjBrFmz2mV7mzZtYuLEiRQXF7dLWRSBQHBhEEJJIBAIUISSg4MDXl5eZGZmnte2+vTpQ0pKCjU1NUIoCQTdHOGjJBAIBMDx48cBJQfT+bJq1SrMZjMArq6u5709gUBw4RAjSgKBQCAQCAQtIJy5BQKBQCAQCFpACCWBQCAQCASCFhBCSSAQCAQCgaAFhFASCAQCgUAgaAEhlAQCgUAgEAhaQAglgUAgEAgEghYQQkkgEAgEAoGgBYRQEggEAoFAIGiB/wfkq5AwlLIY4AAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_trajectories(lat):\n", " f, (ax1, ax2) = plt.subplots(2, 1, sharex=True)\n", " for a in np.arange(-0.6, 0.6, 0.1):\n", " cix_118_i1.angle = a*0.001\n", " lat.update_transfer_maps()\n", " p = Particle(px=0, E=0.130)\n", " plist = lattice_track(lat, p)\n", " s = [p.s for p in plist]\n", " x = [p.x for p in plist]\n", " y = [p.y for p in plist]\n", " px = [p.px for p in plist]\n", " py = [p.py for p in plist]\n", " ax1.plot(s, x)\n", " ax2.plot(s, y)\n", " plt.xlabel(\"z [m]\")\n", " plt.show()\n", " \n", "plot_trajectories(lat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Horizantal and vertical emittances\n", "Before start we remove zero order terms (dipole kicks) from coupler kicks coefficients. \n", "And check if we have any asymmetry." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for elem in lat.sequence:\n", " if elem.__class__ == Cavity:\n", " if not(\".AH1.\" in elem.id):\n", " # 1.3 GHz cavities\n", " elem.vx_up = 0.\n", " elem.vy_up = 0.\n", " elem.vxx_up = (0.99943 - 0.81401j) * 1e-3\n", " elem.vxy_up = (3.4065 - 0.4146j) * 1e-3\n", " elem.vx_down = 0.\n", " elem.vy_down = 0.\n", " elem.vxx_down = (-4.057 - 0.1369j) * 1e-3\n", " elem.vxy_down = (2.9243 - 0.012891j) * 1e-3\n", "\n", "# update transfer maps\n", "lat.update_transfer_maps()\n", "\n", "# plot the trajectories \n", "plot_trajectories(lat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tracking of the particles though lattice with coupler kicks\n", "Steps:\n", "* create ParticleArray with zero length and zero energy spread and chirp\n", "* track the Particle array through the lattice\n", "* plot the emittances" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ParticleArray: \n", "Ref. energy : 0.13 GeV \n", "Ave. energy : 0.13 GeV \n", "std(x) : 0.1 mm\n", "std(px) : 0.02 mrad\n", "std(y) : 0.1 mm\n", "std(py) : 0.02 mrad\n", "std(p) : 0.0\n", "std(tau) : 0.0 mm\n", "Charge : 5.0 nC \n", "s pos : 0.0 m \n", "n particles : 200000\n", "\n" ] } ], "source": [ "# create ParticleArray with \"one clice\"\n", "parray = generate_parray(sigma_tau=0., sigma_p=0.0, chirp=0.0)\n", "print(parray)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z = 107.53222499999997 / 107.53222499999997. Applied: " ] } ], "source": [ "# track the beam though the lattice\n", "navi = Navigator(lat)\n", "tws_track, _ = track(lat, parray, navi)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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k+PDh1ucPPPCAtR2/+OILp8UlklP23Hr33581t15UlLl0hhI9EZehZE8c4uGHHyYuLo6wsDBnh1JmTZ06lbi4OGeHIQLApUvwyCNw++1w7lzW3Hp//QWbNmlZNBEXo2RPHKJixYrUqlULL6/ydedAWlqazeqqXLkytdRbIi5i9WqYMQP8/ODFF6FpU8w59apWhe7dnR2eiOSgZE8K9fHHHxMeHo6fnx+VK1emc+fONqk3MjKSJ598kuHDh1O1alVq1qzJ9OnTSUpKYvDgwQQEBNC4cWNWrlxpk+OKq2vXriWOb9iwYYwYMYJq1arRpUsXAFatWkX79u2pUqUKwcHBdOvWjX379lmPS0pK4v7778ff35/atWszZcqUUsUvYm9z5kDLlubceq+9hnmf3pw50L8/+Pg4OzwRyUHJnhRoyZIljBo1irFjx7Jr1y5+/vlnnnnmGZvVP3v2bKpVq8Yvv/zCk08+ydChQ+nTpw/t2rVjy5Yt3H777QwcOJCLFy/a5DhHxufl5UVMTAzTpk0DzGRuxIgRbN68me+//x4PDw969uxJZmYmACNHjmTdunUsW7aMb7/9lvXr1/Pbb7+VKn4Rezl7Fr78EgYOzFH4/fdw7Jgu4Yq4IIthGIazgyjrEhISqFy5MufPnycwMDDXtpSUFA4cOEDDhg3xzV4u6OJF896WYkhOTsbPz690gYaGQsWKRd594sSJREdH83//939UqVKlxC8bGRlJq1ateOedd3KVZWRk8OOPPwKQkZFB5cqV6dWrF3PmzAHg+PHj1K5dmw0bNhAREVGq43KaOnUqCxcuZMOGDQXG3KFDBwzDKFF858+f5/fffy+0TU6dOkWNGjWIjY2lQYMGBAcHM2fOHPr27QtAfHw8derU4ZFHHsnVbgAWi4Vly5bRo0ePPPXm+3krA2JjYwkPD3d2GOVGadt7+nQYOhSOHoXatbMKBwyAP/6A7dvBYrFJnO5Cn2/HKk/tXVj+kVP5uoHKVfz1F1x/fbEOKWWaZ/rtN7juuiLv/vDDD7N48WKCgoKoWLEif/75J40bN7ZFJAC0aNHC+n9PT0+Cg4Nz/YDWrFkTgJMnT9rkuGynTp1iz549douvTZs2eerat28fY8eOZePGjZw+fdrao3f48GEyMjJIS0vjpptusu4fFBTENddcc8UYRZxhzhy47bYcid7587BsGbzyihI9ERekZM8ZQkPNxKsYbNazV0SXLl2iX79+3HDDDcyYMYMqVarQqFEjALZs2cKLL77IqlWrAPNy79q1a/nggw+KFY63t3eu5xaLJVeZJeuXRnZiVNrjsk2YMIEJEybYLb5KlSrlqat79+7UrVuXGTNmEBISQmZmJmFhYaSlpaHOdSlL9u2DmBhYsCBH4eLFkJYG993ntLhEpGBK9pyhYsVi9bABGBcvFusSbGktW7aMvXv38t133+XZ1qJFC3bs2AGYSeFrr71W6gER7uzMmTPs3LmTadOmcfPNNwPw008/Wbc3adIEb29vNm7cSL169QA4e/Ysu3fvpmPHjk6JWaQgc+dCQAD8+985CmfPNrv6QkKcFpeIFEzJnuQrLS2NuLg45s6dy80330xiYiIxMTE8+OCDeHt7U6dOHY4cOWK9dyz7kqbkVbVqVYKDg5k+fTq1a9fm8OHDjBo1yrrd39+fIUOGMHLkSIKDg6lZsyajR4/Gw0Pjp8S1GIaZ7PXpk/W3Z1yceVtKTAwsXOjs8ESkAEr2JF/9+vXj999/58UXX+TEiRMEBQVxyy238OijjwJw4403snbtWmbMmMHGjRudHK1r8/DwYOHChTz11FOEhYVxzTXX8O677xIZGWnd54033iAxMZG7776bgIAAnnnmGc6fP++8oEXy8fPPsH8/fPopcOQING5szq5cteplXX0i4kqU7Em+vLy8mDJlSoHzvd144408+eSTvP766/neo3Yl69evz1N28ODBPGWX389W0uOKa9WqVVS87LJ5SeMDuPXWW62XvvM71t/fn7lz5zJ37lxr2ciRI4sZtYh9zZkD9erBzTcDk+eDl5c5u3LDhlCGRn+LlDe6TiQl0rRpU2rUqMFDDz1UpP0//PBD/P39iY2NtXNk7uuxxx7D39/f2WFIOZWSAosWmXPreViyruf26AGdOkGDBs4OT0QKoZ49KZEPPviAN954A09PzyvuO3/+fJKTkwGsAxCk+MaPH8+zzz4LQG3rnBcijvHVV+YMKwMHAr//Djt2wJtvOjssESkCJXtSLPv27ePOO+/k9ttvp1u3bkU65qqrrrJzVOVDjRo1qFGjhrPDkHLmzz/N5dB++w3atoVrrgH+Oxdq1oSs5QBFxLUp2ZNiady4Mbt27XJ2GCLiIP/7H6xbZ84DP3w4kJ5uTrL3n/+Y9+yJiMvTT6qIiOTrwgX44gsYNw6sswWt+BZOnrxsYVwRcWUaoCEiIvlatgySk81lb63mzoXmzaFVK2eFJSLFpGRPRETyNW8edOxoTrcCQEKC2dV3//1aA1ekDFGyJyIieRw7Bt9/f9lyt59/Dqmpl3X1iYirU7LnIFrsXhxBnzOxlYULzfEX99yTo3DuXOjcGerUcVpcIlJ8SvbsLHseurS0NCdHIuVB9uesKPMfihRm/nzo3h2qVMkqOHwY1q/XwAyRMkijce3My8uLihUrcurUKby9vUu8uH1qamqJj5XiK4vtnZmZyalTp6hYsSJemhJDSmHHDtiyBcaMySpITISoKKhYEXr1cmZoIlIC+o1gZxaLhdq1a3PgwAEOHTpU4nrS0tKoUKGCDSOTwpTV9vbw8KBevXpYdPO8lML8+WaP3p13AjNnQvayiP/5DwQEODM0ESkBJXsOUKFCBa6++upSXcrdvXs3DRs2tGFUUpiy2t4VKlQocz2S4loyM81k7957wccHmD4dbr4Zhg0z18EVkTJHyZ6DeHh44OvrW+LjLRZLqY6X4lF7S3kVEwOHDmWNwt2zB375BRYtMrM/ESmT1AUgIiJW8+ZB/frwr39hLosWEGCO1BCRMks9eyIiwh9/mI/Fi+Hxx8HDYpiZX+/e4Ofn7PBEpBSU7ImIlHMZGXDXXeZEyn5+MGgQsHkz7N0LH33k7PBEpJR0GVdEpJz7v/8zE72YGHOWlaZNMUdp1K6tQRkibkDJnohIOTd/PjRqBDfdBB4eQHq6uYRG//6gCbpFyjwleyIi5Vhqqrnk7YABYJ2e8bvv4ORJc149ESnzlOyJiJRjK1fC+fNmsmc1fz6EhkLr1k6LS0RsR8meiEg5Nn++mdM1a5ZVkJQEy5aZE+1pJRYRt6BkT0SknEpIgK++uqxXb/lyM+HLVSgiZZmSPRGRcmrZMkhLg379chTOnw/t2kEZXC5QRPKnZE9EpJyaPx86doQ6dYAPPoB77oHVqzUwQ8TNKNkTESmHjh+H77/Pulp74QKMHGlOotyzpy7hirgZraAhIlIOLV5sTqHXuzfmfXrJyea/9es7OzQRsTH17ImIlEMLFsCdd0JQEBAdDe3bK9ETcVNK9kREypnDhyuwaVPW1dpTp8z79Pr3d3ZYImInuowrIlJOnDpl9uYdPNgIf3/o1g2Y/bm5sU8fp8YmIvajnj0RkXIiOhr+/BPuuuscUVFQsWJW4W23QfXqzg5PROxEPXsiIuVEdDR07QrPPHOc8PDqcPgw/PgjzJnj7NBExI7UsyciUg4cOAAbN152a97CheDrCz16OCssEXEAJXsiIuXAwoXmZdu7785RGB1tFgQEOC0uEbE/JXsiIuVAdl5XqVJWwY4d8McfmkBZpBxQsici4ua2bYPY2Msu4UZHQ5Uq5k18IuLWXDLZS0xMZPjw4YSEhODr60urVq1YuHDhFY+LiorCYrHk+zh+/HiBxyUnJ9O0aVMsFgtvvvmmLU9FRMTpsvO622/PKjAMs7B3b/DxcWZoIuIALjkat1evXmzevJlJkybRtGlTFixYQP/+/cnMzGRAES45zJo1i9DQ0FxlwcHBBe4/duxYkpKSSh23iIirMQzzfj1rXpecTKVff4V9+2D6dGeHJyIO4HLJ3ooVK1izZo01wQPo1KkThw4dYuTIkfTt2xdPT89C6wgLC6NNmzZFer1ffvmF9957j/nz59NHk4qKiJv55RfYvz8rr9uzB8LCaJSWBrVrQ8eOzg5PRBzA5S7jLlu2DH9//zyJ1+DBgzl27BibNm2y2WulpaXx4IMP8sQTTxQ5ORQRKUuio6FWLYiMBObPB19fDr/xBqxZA1f4w1lE3IPLJXvbtm2jWbNmeHnl7nRs0aKFdfuVdOvWDU9PT4KCgujVq1eBx4wfP56kpCReffXV0gcuIuJiMjJg0SK4917w9Mi6T69nT87ffjs0b+7s8ETEQVzuMu6ZM2do1KhRnvKgoCDr9oLUqlWL0aNHExERQWBgILGxsUyaNImIiAhiYmJo2bKldd8//viDyZMn89VXX1GpUiVOnTpV5BhTU1NJTU21Pk9ISCjysSIijvLDD3D8eNYo3D/+gN27YepUZ4clIg7mcskegMViKdG2rl270jXHNAIdOnTgrrvuIjw8nHHjxrF8+XIA0tPTefDBB+nbty+3W4enFd3EiRN55ZVX8pRv374df3//YtdXFAkJCcTGxtqlbslL7e1Yam/bysiAuDhvPvigJlddVYmKFXdx6u13qVq1Kjtr1FB7O5ja27HKU3snJiYWaT+XS/aCg4Pz7b2Lj48H/unhK6oGDRrQvn17Nm7caC1755132L9/P4sXL+bcuXPAP71zKSkpnDt3joCAgAIHgrzwwguMGDHC+jwhIYG6devSvHlzAgMDixVfUcXGxhIeHm6XuiUvtbdjqb1ta/RoeP118/9jxkCLsOawdi307Uv4ddepvR1M7e1Y5am9i3pl0eXu2QsPD2fnzp2kp6fnKs/O0sPCwopdp2EYeHj8c6rbtm3j/PnzXH311VStWpWqVataL/GOHTuWqlWrFvpXgY+PD4GBgbkeIiKuIDMT5s6Fvn1h/Xoz8WPDBjh8+LJZlUWkvHC5ZK9nz54kJiayZMmSXOWzZ88mJCSEtm3bFqu+AwcOEBMTQ0REhLVs1KhRrFu3LtcjOjoagMcee4x169bRpEmT0p+MiIiDbdgAR47AE0+YM6v4+mJOtHfVVdC+vbPDExEncLnLuHfccQddunRh6NChJCQk0KRJE6Kjo1m1ahXz5s2zXlodMmQIs2fPZt++fdSvXx+AW2+9lQ4dOtCiRQvrAI3JkydjsVhyjbgNDQ3NM+nywYMHAWjcuDGRkZEOOVcREVtbuBDq1IF//SurID0dFi+G++4DD5f7+15EHMDlkj2ApUuXMnr0aMaNG0d8fDyhoaFER0fTr18/6z4ZGRlkZGRgGIa1LDw8nEWLFvHmm2+SnJxMjRo16Ny5M2PHjqVp06bOOBUREYfJzusGDsyR161bBydPQo7vTxEpX1wy2fP392fq1KlMLWSKgKioKKKionKVvf322yV+zQYNGuRKHEVEypr16/PJ6xYuhMaNQRPHi5Rb6tMXEXET2Xnd9ddnFaSmwpIlZvZXyLRVIuLelOyJiLiBtLR88rrVq+H8eY3CFSnnXPIyroiIFM/q1XDuXNYl3MRE+OUX+PhjCA/X0mgi5ZySPRERN7BwIYSFmQ+GjYIPPjA3TJ7s1LhExPl0GVdEpIy7eBGWL8/q1csekjt0KBw8CM884+zwRMTJ1LMnIlLGffMNJCWZq2awbh2cOgVDhkDWHKQiUr6pZ09EpIyLjjZnVmnShH+G5F53nbPDEhEXoWRPRKSM+usv+PJLWLEi6xJuWhosXaqpVkQkF13GFREpg9LSzCXR4uPBxyfrEu633+YYkisiYipysvfll18Wu/IuXbrg5+dX7ONERKRw335rJno//AAtW0LlysCoheY0K2Fhzg5PRFxIkZO9Hj16FKtii8XCnj17aNSoUXFjEhGRK1iYldd16JBVkJxsDsl97jmnxiUirqdY9+wdP36czMzMIj0qVqxor5hFRMq1XFOtZFuxwpxMuW9fp8UlIq6pyMneoEGDinVJ9r777iMwMLBEQYmISMHyzesWLjRH4DZt6rS4RMQ1Ffky7qxZs4pV8UcffVTsYERE5MoWLTLzuquvziq4cAG+/hrGj3dqXCLimjT1iohIGZKd1+W6hPvVV5CSAvfe67S4RMR1Fblnb8SIEUWu9K233ipRMCIiUrgvv8wnr1u4EG66SStmiEi+ipzs/f7777me//bbb2RkZHDNNdcAsHv3bjw9Pbn++uttG6GIiFjlyuv+/BN27oRVq+DNN50dmoi4qCIne+vWrbP+/6233iIgIIDZs2dTtWpVAM6ePcvgwYO5+eabbR+liIhw9iysXp2V16WkQMeOcP48VKwIffo4OzwRcVElumdvypQpTJw40ZroAVStWpUJEyYwZcoUmwUnIiL/WLYM0tPhnnsws77z52HzZjhzBmrXdnZ4IuKiSpTsJSQkcOLEiTzlJ0+e5MKFC6UOSkRE8lq40OzMCwnJehIeDm3agK+vs0MTERdWomSvZ8+eDB48mM8//5yjR49y9OhRPv/8c4YMGUKvXr1sHaOISLl38iR8/33WKNyLF80RuFoDV0SKoMj37OX08ccf8+yzz3Lfffdx6dIlsyIvL4YMGcIbb7xh0wBFRMqTM2fM8RaGkbv855/BYoHevYFvvoGkJK2WISJFUqJkr2LFinz44Ye88cYb7Nu3D8MwaNKkCZUqVbJ1fCIi5cq4cfDhh/lv690bqlXDnFX5+uuhcWOHxiYiZVOJkr1slSpVokWLFraKRUSkXEtPh88/h//+F15/Pe92Hx/MWZW/+UarZYhIkZUq2duxYweHDx8mLS0tV/ndd99dqqBERMqj//s/8968/v0LGXOR76zKIiIFK1Gyt3//fnr27ElsbCwWiwUj6+YSi8UCQEZGhu0iFBEpJxYtggYNzAG2he4UEaHVMkSkyEo0Gvfpp5+mYcOGnDhxgooVK7J9+3b+7//+jzZt2rB+/Xobhygi4v7S02HJErPDLuvv5rzOnTNHb2hghogUQ4l69jZs2MDatWupXr06Hh4eeHh40L59eyZOnMhTTz2VZ2k1EREp3Lp15kjcQvO4L74ws0KtliEixVCinr2MjAz8/f0BqFatGseOHQOgfv367Nq1y3bRiYiUE4sXm4NrW7cuZKdFi+Dmm+GqqxwWl4iUfSXq2QsLC2Pr1q00atSItm3bMnnyZCpUqMD06dNp1KiRrWMUEXFrly7B0qXw6KOFXMI9fRrWrIF333VobCJS9pUo2RszZgwXL14EYMKECXTr1o2bb76Z4OBgFi1aZNMARUTc3fffQ3x81gDb8+fNa7qXz6r8009mWe/eTolRRMquYid7ly5dYtKkSUybNg2ARo0asWPHDuLj46latap1RK6IiBTN4sVw9dXQsiUwfFzBvXfdukHNmg6NTUTKvmIne97e3mzbti1PUhcUFGSzoEREyou0NFi2DJ54AiyZGfDZZzB0KEyYkHfnypUdH6CIlHklGqBx//33M3PmTFvHIiJS7qxZY86o0rcvEBMDcXFw330QFJT34enp7HBFpAwq0T17aWlpfPLJJ6xZs4Y2bdrkWRP3rbfesklwIiLubvFiCA2FsDDgqc+gTh1z0mQRERspUbK3bds2rrvuOgB2796da5vu2RMRubKTJ+HIEXPqvOHDsy7hfv65uVaaR4kuuoiI5KtEyd66detsHYeISLmRmQlt28LBg+ZUK337Yo62PX5cEyaLiM3pz0cREQfbuNFM9ObOhd274dprMa/n1q1rZoEiIjZUop49gJSUFLZu3crJkyfJzMzMte3uu+8udWAiIu5q0SJzEYwBA7Ku2GZkmAvj/uc/uoQrIjZXomRv1apV3H///Zw+fTrPNovFQkZGRqkDExFxRxlZs6v07Zsjr/vxRzhxImtWZRER2yrRn5DDhg2jT58+xMXFkZmZmeuhRE9EpGDZs6vkyusWL4Z69eDGG50Wl4i4rxIleydPnmTEiBHU1EzuIiLFsmiRmddZZ1dJTzcv4fbpU8jCuCIiJVeiZO+ee+5h/fr1Ng5FRMS9paebs6vkyuv+7//MeVh0CVdE7KRE9+y9//779OnThx9//JHw8HC8vb1zbX/qqadsEpyIiDvJzuv69s1RuHgx1K8PN9zgtLhExL2VKNlbsGABq1evxs/Pj/Xr1+eaSNlisSjZExHJx6JF0LAhtGmDuSjuuXOwdCkMGqRLuCJiNyVK9saMGcP48eMZNWoUHpomQETkii5dMm/Ne+ghsGCYGV9srLkxV1efiIhtlXht3L59+yrRExEponXr4MyZrLzujz/MRG/iRHOkRps2zg5PRNxYibK1QYMGsWjRIlvHIiLithYtgiZNoFUrzPv0goLgmWcgMtLJkYmIuytRz15GRgaTJ09m9erVtGjRIs8AjbfeessmwYmIuIO0NPPWvCeeyLqEu3gx9OoFl313iojYQ4mSvdjYWFq3bg3Atm3bcm2z6CZjERGrc+dg9Wrz33vvBbZsgf374eOPnRyZiJQXJUr21q1bZ+s4RETczm+/mTOqGAY0awbh4cCoxVCtGnTq5OzwRKScKFGyJyIiVzZ3LtSsCdOnQ1hYjku4vXuDl75+RcQx9G0jImIHGRlmXnfvvdC9e1bh5l/h4EGtliEiDqW5U0RE7OCnnyAuDvr1y1G4aBHUqAEdOjgtLhEpf5TsiYjYwaJFUK+eOY0eYN64p0u4IuIESvZERGwsPR0++8ycQNk6QcGmTXDkiC7hiojDKdkTEbGxtWvh9OnLVkFbvBhq1YKbb3ZaXCJSPpUq2WvXrh01a9a0VSxWiYmJDB8+nJCQEHx9fWnVqhULFy684nFRUVFYLJZ8H8ePH8+17+jRo2ndujVBQUH4+vrSqFEjHnnkEQ4dOmTz8xGR8iV7tYzrrssqyMw0u/ruuQc8PZ0am4iUP6W6caRv376cPn3aVrFY9erVi82bNzNp0iSaNm3KggUL6N+/P5mZmQwYMOCKx8+aNYvQ0NBcZcHBwbmenzt3jv79+9OsWTMCAgLYsWMHEyZM4Msvv2T79u159hcRKYpcq2VkX8LduBGOHtUlXBFxilIle08//bSt4rBasWIFa9assSZ4AJ06deLQoUOMHDmSvn374nmFv4zDwsJoc4WFxT/44INczyMjI2nYsCF33nkny5cv58EHHyzdiYhIufTtt+ZqGf36Ya6U0aULnDoFtWvDv/7l7PBEpBxyuXv2li1bhr+/P3369MlVPnjwYI4dO8amTZvs9trVq1cHwEsj5USkhBYuhObNzUmUmTvXTPSeew7mzwcPl/vKFZFywOW+ebZt20azZs3yJFwtWrSwbr+Sbt264enpSVBQEL169Sr0mPT0dJKTk/n9998ZPnw4TZs2pVevXqU7CREpl5KTYfnyrIEZhmFmfj17wpgxWh5NRJzG5bqwzpw5Q6NGjfKUBwUFWbcXpFatWowePZqIiAgCAwOJjY1l0qRJREREEBMTQ8uWLXPtf/z4cWrXrm193rZtW9atW4e/v3+hMaamppKammp9npCQUKRzExH3tmIFJCZmJXuxsfDXXzBlirPDEpFyzuWSPQCL9a7m4m3r2rUrXbt2tT7v0KEDd911F+Hh4YwbN47ly5fn2r9atWps3ryZ1NRUdu7cyeTJk+nUqRPr16/PlQRebuLEibzyyit5yrdv337FRLGkEhISiI2NtUvdkpfa27HKentfugRxcRV4//3ahIZ6k5q6l5PvvUdQYCB/1aqF4WLnVtbbu6xReztWeWrvxMTEIu1nMQzDsHMsxXLTTTeRkZHBL7/8kqt8+/bthIWFMW3aNB555JFi1XnHHXewZcsWTpw4Ueh+R48epWHDhjz++ONMnTq1wP3y69mrW7cu58+fJzAwsFixFVVsbCzh4eF2qVvyUns7Vllv72HDIHvM1xtvwLPPGHD11RAZCZ984tTY8lPW27usUXs7Vnlq74SEBCpXrnzF/KPEPXspKSls3bqVkydPkpmZmWvb3XffXdJqCQ8PJzo6mvT09Fz37WVn6WFhYcWu0zAMPIpwY3SdOnUICQlh9+7dhe7n4+ODj49PseMQEfeTlgbR0fDgg/DAA9C2LbBlC+zbBx995OzwRERKluytWrWK+++/P9859iwWCxkZGSUOqGfPnsyYMYMlS5bQN8f087NnzyYkJIS2bdsWq74DBw4QExPDrbfeesV99+7dy9GjR0uVrIpI+bJmDcTHw9NPQ9Y4MnNW5erVNShDRFxCiZK9YcOG0adPH8aNG2fzFTTuuOMOunTpwtChQ0lISKBJkyZER0ezatUq5s2bZ51jb8iQIcyePZt9+/ZRv359AG699VY6dOhAixYtrAM0Jk+ejMVi4dVXX7W+xtatW/nvf//LPffcQ6NGjfDw8CA2Npa3336b4OBgnn32WZuek4i4rwULzKlWrFeNDMNM9nr3Bk3jJCIuoETfRCdPnmTEiBF2WSoNYOnSpYwePZpx48YRHx9PaGgo0dHR9OvXz7pPRkYGGRkZ5LzlMDw8nEWLFvHmm2+SnJxMjRo16Ny5M2PHjqVp06bW/WrWrElISAhTpkwhLi6O9PR06tSpQ7du3XjxxRepW7euXc5LRNzLxYvmVCsvvHDZahmHD1+2MK6IiPOUKNm75557WL9+PY0bN7Z1PAD4+/szderUQgdJREVFERUVlavs7bffLlL9NWvWZO7cuaUJUUSEr76CpKSs1TKyLVoEtWrBzTc7LS4RkZxKlOy9//779OnThx9//JHw8HC8vb1zbX/qqadsEpyIiCuLjoYbbwTr372ZmfDZZ9CnD1xhWUcREUcpUbK3YMECVq9ejZ+fH+vXr881953FYlGyJyJu79w5WLkS/ve/HIU//QTHjl3W1Sci4lwlSvbGjBnD+PHjGTVqVJGmNBERcTdLl5qTKd97b47CRYugbl2IiHBaXCIilytRppaWlkbfvn2V6IlIuRUdbc6ZHBKCOZ9e3bowY4aZ/em7UURcSIm+kQYNGsSiRYtsHYuISJlw/DisXQv9+2NOtTJlCtSvD2PGwDPPODs8EZFcSnQZNyMjg8mTJ7N69WpatGiRZ4DGW2+9ZZPgRERc0WefmeMvevcGfv31n9UyunRxdmgiInmUKNmLjY2ldevWAGzbti3XtpyDNURE3NGCBdC1KwQFAROioUYNrZYhIi6rRMneunXrbB2HiIjLW7ECtm0z501esABzqpVFi8z79LRahoi4qBJ/O6WkpLB161ZOnjxJZmamtdxisdC9e3ebBCci4ipOnoS77zZzusaNoXt34McfzalW+vd3dngiIgUqUbK3atUqBg4cyJkzZ/Jss1gsZGRklDowERFXsmiRuSTa339DcHBWYXQ01KunqVZExKWVaDTusGHDuPfee4mLiyMzMzPXQ4meiLij+fPhjjtyJHqXLsHnn5sTKGuqFRFxYSXq2Tt58iQjRoygZs2ato5HRMTl7NkDmzbBwoU5Cr/7Ds6c0SVcEXF5Jfpz9J577mH9+vU2DkVExDUtWAABAVn36WWLjoZrroGWLZ0Wl4hIUZSoZ+/999+nT58+/Pjjj4SHh+eZZ09r44qIuzAM8xJur15QsWJWYXIyfPGFOYGyppsSERdXomRvwYIFrF69Gj8/P9avX59rbj2LxaJkT0Tcxq+/mpdxP/ggR+GKFXDhgnm/noiIiytRsjdmzBjGjx/PqFGjtD6uiLi1efOgVi3o3DlHYXQ0tG5tXsYVEXFxJcrU0tLS6Nu3rxI9EXFr6enmoIz+/c3l0bhwAXbvhm++0cAMESkzSpStDRo0iEWLFtk6FhERl/L99+Zkyv/5D5CaCldfbfbmpaVB377ODk9EpEhKdBk3IyODyZMns3r1alq0aJFngMZbb71lk+BERJxp3jwzt7vuOmD5SjhxAubMgbAwczJlEZEyoETJXmxsLK1btwZg27ZtubZZNDJNRNxAUhIsWwajRmUNuF2wwJxmZeBAZ4cmIlIsJUr21q1bZ+s4RERcxsWL8NlnZsI3YACQkABffQXjxzs7NBGRYitRsici4q6++w66dDH/364dNGoERC0179nToAwRKYOKPEBj69atZGZmFrni7du3k56eXqKgREScZdo0aNYMFi82r9wC5qzKHTtCnTpOjU1EpCSKnOy1bt2aM2fOFLnim266icOHD5coKBERZzh7Fr78Eh56CPr0gfr1gbg4WLs2a0iuiEjZU+TLuIZhMHbsWCpa1wsqXFpaWomDEhFxhsWLzbn1BgzIUbhwIXh5Qe/eTotLRKQ0ipzsdejQgV27dhW54ptuugk/P78SBSUi4gyzZ8Ptt5srZljNnw933glVqzotLhGR0ihysrd+/Xo7hiEi4lx79sCGDWZHntWuXfDbb+b8KyIiZZTWOxMRAebOhcBAuPvuHIULFpiF3bo5LS4RkdJSsici5V5mprkwxr33gvXuE8MwL+H27g2+vk6NT0SkNJTsiUi59+OPcOgQDBqUo/CXX2DfPo3CFZEyT5Mqi0i5N2cONGwI//oXcPQojBwJ27ZB7doQGens8ERESsUmPXtPPvkkp0+ftkVVIiIOlb002v33Z62B++GH8PXXULcuTJoEnp7ODlFEpFRskuxFRkZy++23M2HCBJKTk21RpYiIQ3zxBVy4YCZ7ZGaaIzUGDoQVK7IKRUTKNpske71792bTpk1UrlyZiIgIPvnkEwzDsEXVIiJ2kZ4Of/8Nn34K7dtnrYG7fr15GXfgQGeHJyJiMzYboOHl5UWvXr145plnGDVqFGFhYaxYscJW1YuI2NR995lL3X7/fY6BGXPmQJMmEBHh1NhERGzJJgM07rjjDnbu3EmdOnW48cYbee+992jatCkffPABa9as4e2337bFy4iI2MSJE7BkCTzzDNxxB3TsCCQlweefw/PPZ928JyLiHmyS7L3++uu0aNECz8tuZP70008JDQ1VsiciLmXePPDwgBdfhKCgrMKFy8yE7777nBqbiIit2STZa926dYHbdClXRFyJYZj36fXsmSPRA3NgRocO5hwsIiJuxO6TKjdq1MjeLyEiUmS//AI7dsCDD+Yo/Ptv+O47jb4VEbdkl2QvLi6O1NRUe1QtIlIqM2eaU+jdckuOwgULoEIFuOcep8UlImIvdkn2Bg4cSGhoKM8++6w9qhcRKZGkJFi4EAYPzjFXsmHA7NnQowdUruzM8ERE7MIuy6V99913APz111/2qF5EpESWLDEnUH7ggRyFf/wB27fD5MlOikpExL5s0rM3bdq0fMtDQ0NtUb2IiE18+il07nzZGIw5c6BGDbjtNqfFJSJiTzZJ9jZs2MCTTz5JZmYmALt27WKgZqAXEReydy/88EOOgRlLlsC998KsWfCf/4CXXS50iIg4nU2+3aKionjrrbe48847qVKlCnv27GHkyJG2qFpExCZmzTJvyevVC8jIgOHDwdcX/vUveOIJZ4cnImI3Nkn2tmzZQkxMDCdOnGD37t2sW7eO+vXr26JqEZFSy8iAqCjo3x/8/IDV35lr4G7cCG3bOjs8ERG7ssll3Mcff5whQ4bw+++/s3DhQv79738TExNji6pFREosMxOefhruvBOOHYMhQ7I2zJoF114LN97o1PhERBzBJsnexo0bufPOOwG48cYb+eabb3QZV0Sc7rvv4N134dIlGDYMrr8eiI+HZcvM+Ve0Bq6IlAMlSvZuvfVWVq5cmac8IyMDgKuuuoq1a9eWLjIRkVKaNg3Cw+H77+G997JyuwULzOu6GkQmIuVEiZK9X3/9lQYNGgBw4MABa/nMmTOto3B9fX1LH52ISAnFxcHy5fDoo5d14M2aBd26Qc2aTotNRMSRSpTspaWlERAQAEDLli3Zv38/AO3ateP777+3XXQiIiX06afg4wP33Zej8I8/YMuWyxbGFRFxbyUajdukSRM2bdpEQEAASUlJnDt3DoCAgADi4+NtGZ+ISLFlZMD06dCv32UroM2aZfbo3XGH02ITEXG0EvXsPf744zz00EN07NiRli1bMn36dAB+/PFHaurSiIg42erVcPiweQnXKjUV5s0z79Xz9nZabCIijlainr3HHnuM6tWrs2fPHh5++GH69etHo0aNiIuLY9iwYbaOUUSkWKZNg1at4IYbchR+9ZU5EnfwYGeFJSLiFCWeVLl3797W/69cuZJly5aRlpZGv379bBKYiEhJHDkCX38NH3xw2cCMTz+FiAhzfj0RkXLEJitoeHl50adPH1tUJSJSKjNnQsWK5nK3gDksd/9+89ruxx87NTYREWfQyt8i4jbS0+GTT2DAAAgIAI4fh0aNICUF/P2hb19nhygi4nA2WUHD1hITExk+fDghISH4+vrSqlUrFi5ceMXjoqKisFgs+T6OHz9u3S8hIYHXXnuNyMhIatWqhb+/P+Hh4fzvf/8jJSXFnqcmIna0YgX8/XeOgRmzZpn/rlsHW7dCYKDTYhMRcRaX7Nnr1asXmzdvZtKkSTRt2pQFCxbQv39/MjMzGTBgwBWPnzVrFqGhobnKgoODrf8/fPgw77zzDgMHDmTEiBH4+/vz448/8vLLL7NmzRrWrFmDRcsoibisd9/N/4rsiRPQpg1cdx3mwrgzZsC990JkpKNDFBFxGS6X7K1YsYI1a9ZYEzyATp06cejQIUaOHEnfvn3x9PQstI6wsDDatGlT4PaGDRty8OBBKlWqZC3r3LkzlSpVYuTIkcTExNC+fXvbnJCI2FRSErz0kjnatnXrvNutV2q/+w4OHDCnWxERKcdcLtlbtmwZ/v7+eQZ8DB48mAEDBrBp0ybatWtXqtfImeTldOONNwJw5MiRUtUvIvYzfz4kJJhXaLNWbczftGkQFgY33eSo0EREXJLL3bO3bds2mjVrhpdX7jy0RYsW1u1X0q1bNzw9PQkKCqJXr15FOgZg7dq1ADRv3ryYUYuIIxiGeQn37ruvkOjFxcGXX8Ijj1w2/4qISPnjcj17Z86coVGjRnnKg4KCrNsLUqtWLUaPHk1ERASBgYHExsYyadIkIiIiiImJoWXLlgUeu3XrViZPnkzPnj2tiWVBUlNTSU1NtT5PSEi40mmJiA2sWwfbt8N7711hx1mzzFUyBg50SFwiIq7M5ZI9oNDBEYVt69q1K127drU+79ChA3fddRfh4eGMGzeO5cuX53vcwYMH6datG3Xr1uWTTz65YnwTJ07klVdeyVO+fft2/P39r3h8SSQkJBAbG2uXuiUvtbdjFbW9J0yoR5MmPgQH76HA3TMzueaDD0i87Tb+PnLEnGVZctHn27HU3o5Vnto7MTGxSPu5XLIXHBycb+9dfHw88E8PX1E1aNCA9u3bs3Hjxny3Hzp0iE6dOuHl5cX3339fpPpfeOEFRowYYX2ekJBA3bp1ad68OYF2mtohNjaW8PBwu9Qteam9Haso7X3gAKxfb96K16JFIfuuXg3HjhH0/PME6T3Mlz7fjqX2dqzy1N5FvbLocvfshYeHs3PnTtLT03OVZ2fpYWFhxa7TMAw8PPKe6qFDh4iMjMQwDNatW0edOnWKVJ+Pjw+BgYG5HiJiXx98AFWq5FgZoyDTpkF4uLk0moiIuF6y17NnTxITE1myZEmu8tmzZxMSEkLbtm2LVd+BAweIiYkh4rIv/sOHDxMZGUlGRgZr166lfv36pY5dROwjMdFcGePhh82l0AqUPTDj0Uc1MENEJIvLXca944476NKlC0OHDiUhIYEmTZoQHR3NqlWrmDdvnnWOvSFDhjB79mz27dtnTdRuvfVWOnToQIsWLawDNCZPnozFYuHVV1+1vsbJkyfp1KkTcXFxzJw5k5MnT3Ly5Enr9jp16hS5l09E7G/ePLhwAR5/PKvg9Gn444+8O37xBVSoUITuPxGR8sPlkj2ApUuXMnr0aMaNG0d8fDyhoaFER0fTr18/6z4ZGRlkZGRgGIa1LDw8nEWLFvHmm2+SnJxMjRo16Ny5M2PHjqVp06bW/Xbs2MH+/fsBuO+++/K8/ksvvcTLL79svxMUkSIzDHP0bY8eYO2Av+8+8968/DzyiHm9V0REABdN9vz9/Zk6dSpTp04tcJ+oqCiioqJylb399ttFqj/7Pj0RcV2ZmWbetns37NgBH36YteGvv8xE7/33oVu3vAdedZVD4xQRcXUumeyJiHz5JcycCf/+N4wcCR06ZG14/32oUQMeegh8fJwao4hIWaBkT0RcjmHA//4HN99s3oZndf48zJ4N//2vEj0RkSJSsiciLicmBjZuhK++umxDVBSkpMBjjzkjLBGRMsnlpl4REZk8Ga69Fu68M0dhZqZ5CfeeeyAkxGmxiYiUNerZExGXsmOH2aM3axbkmgt91SrYu9e8jCsiIkWmnj0RcSlvvmkOqB0w4LIN770H118PN93klLhERMoq9eyJiMv4+29zAuWJE825ka127zZ79qKitDKGiEgxqWdPRFzGO++Yy6E9/PBlG95/H6pVg759nRGWiEiZpp49EXEJ587BtGnwxBMQGJhVmJQEp06ZPXpPPQW+vk6MUESkbFKyJyJOlZoKK1ZUZtcu8/9PPZW14exZaNTIzAK9vDTdiohICSnZExGnGjcOJk+uB8DTT0Pt2lkbPvoIkpPh88+hYUOoU8d5QYqIlGFK9kTEaU6eNG/He+ihk0ybVuOfqVZSUuDdd2HQIOjd26kxioiUdRqgISJO8+ab4OkJgwadzj2n3ty5Zib4zDNOi01ExF0o2RMRpzh5Ej74wLx0W7lyxj8bMjNhyhTo0QOaNnVafCIi7kLJnog4xeTJ5riL//73sg1ffQW7dsFzzzklLhERd6NkT0Qc7sQJ+PBDs1cvKOiyjZMnQ/v2EBHhlNhERNyNBmiIiMNNngze3vn06v38s/n48kunxCUi4o7UsyciDnX8uDmryvDhULXqZRvfeANCQ+Guu5wRmoiIW1LPnog41OTJ5rq3w4dftmHXLli+HGbMIPfQXBERKQ0leyLiEC++CPPmwbFjMGZMjl69AweoO2oUHD4MNWvCffc5NU4REXejZE9E7G7zZpg4EQYOhBYt4PHHc2x85hn8N2wwB2SMHQs+Pk6LU0TEHSnZExG7MgxzbuSwMJg1y5xE2erPP2HZMuJefZW6Y8Y4LUYREXemZE9E7Gr5cvjxR1i16rJED2D8eGjcmHN33UVdp0QnIuL+lOyJiN1cumTOjXzbbXD77Zdt/PNPWLrU7O7z0leRiIi9aMibiNjNtGmwd685o0oe48dDo0YakCEiYmf6c1pE7OLcOXj5ZXjwQXNQRi5bt5q9ep9+ql49ERE7U8+eiNjFxImQnGx24OWhXj0REYfRn9QiYlNbtsC+fTB1KowaBSEhl+2wdSssWWL26nl7OyVGEZHyRMmeiNjMt9/+MxCjUSN49tkcG9PTzbXSXnoJGjZUr56IiIMo2RMRm0hOhqFDoVMnWLDAXCHDOj+yYZhZ4Nq15nP16omIOIySPRGxiQkT4OhRWLkSatW6bOOSJWai98EH0Lq1uVqGiIg4hJI9ESm17dth8mRztbOmTS/bmJZm3rx3xx2XrZMmIiKOoGRPREolMxMefRQaN4bnn89nh48/hgMH4IsvHB2aiIigZE9ESmnmTIiJgfXrc9yjl+3cOXjlFRg82FwcV0REHE7z7IlIiZ04YS6HNngwdOyYzw4TJ0JKSgGT7YmIiCMo2RORYvv9d/jPf8wBtl5eBSyHduiQOdnes8/mM9meiIg4ii7jikixnDsHPXqAhwdcfTX8738QHJzPjmPGQJUqMHKkYwMUEZFclOyJSJEZBjz2GJw/D3/+CfXr57PD/PmwZw/Mm2cOzvD3d0qsIiJiUrInIkU2Zw4sWgTR0fkketk7PPCAOaPybbfBkCGODlFERC6jZE9EimTvXnjiCRg0CPr1y2eHM2fM+/MGDDB790RExCVogIaIXNGlS2YOV6sWvPdeATs995y545QpDo1NREQKp549Ebmil14yR+DGxEBAQD47/Pijud7tRx/ls1aaiIg4k5I9EclXYqI5tcrPP5vPX38dbrwxnx3T0sxRGxER8MgjDo1RRESuTMmeiOSRmQn33Qdbt8L775uddT16FLDzlCmwaxf89ps5H4uIiLgUJXsikseLL8KXX5qPbt0K2XH/fnN1jOHDoWVLR4UnIiLFoD/DRSSXqChzouQ33ywk0Vu71lwfrVMnqF4dXn7ZgRGKiEhxKNkTEauffjJvu3voIfjvfwvYKS4O+vY1b+q75RZYskQTJ4uIuDBdxhUp5wwDfvgBTp2Cxx+Hdu3ggw/AYsln58xMc9JkLy9Ytcrs1RMREZemZE+kHDMM83a7d981n4eGmh11FSoUcMB778G33yrRExEpQ3QZV6Scypnovf8+nDhhjr4NDi7ggK1bzYmThw8352QREZEyQT17IuVQzkTv44/h0UevcEBysrmExjXXwMSJjghRRERsRMmeSDlTrEQvIwMuXIAxY8zFcX/9FXx9HRWqiIjYgJI9ETe1aBFs2ZK3fO9eWLq0CIne2bPQoQNs22Y+f+89CAuzS6wiImI/SvZE3ExKCjz5JHzyCTRqBJ6eubd7esLMmfDgg4VUcukS3Hsv/P03zJ9vLqHRqZNd4xYREftQsifiRo4ehd694c8/4dNPYfDgElb03//C+vXmyFsleSIiZZqSPRE38cMPZmecj485OXKbNiWs6KOPzIn2Pv5YiZ6IiBvQ1CsiZdgvv0D37ubKZbfcAtdea46hKHGi99135jXgp54qwhBdEREpC5TsiZRBFy/Cs8/CTTfB4cNQty6MHw9r1kCNGsWsLDMTVq6EOXOgTx+49VaYMsUucYuIiOO5ZLKXmJjI8OHDCQkJwdfXl1atWrFw4cIrHhcVFYXFYsn3cfz48Vz7fv3119x///2Eh4fj7e2NJd+1oURczw8/QMuW5kTIr78Ov/0G8+bBiy+aq5gVS2YmDB0Kd94JgwZB/fqwcGEJKhIREVflkt/ovXr1YvPmzUyaNImmTZuyYMEC+vfvT2ZmJgMGDLji8bNmzSI0NDRXWfBlywIsW7aMjRs30rp1a3x8fPjtt99seg4itpKRAQsWmL12587BV19B+/bw9dfmHMcllp3ozZhhDs+9916oWBE8XPJvQBERKSGXS/ZWrFjBmjVrrAkeQKdOnTh06BAjR46kb9++eF4+l8RlwsLCaHOFm5ZmzJiBR9YvtWHDhinZE5djGLB8uTmf8fbtcMMNZi72/vtmjlaqnCxnovfpp/DAA7YKW0REXIzL/Qm/bNky/P396dOnT67ywYMHc+zYMTZt2mST1/FQ74W4oIQEOHjQnPEkIgJ69jSnuNu0yRyMsX49PPGEEj0RESk6l+vZ27ZtG82aNcPrsnuGWrRoYd3erl27Quvo1q0bp06donLlykRGRjJ+/HjCbDjzf2pqKqmpqdbnCQkJNqtbyh/DgI0b4cMPYfFiSEszy2+80Rwce8stJax07lzzhr7L7d1rDshQoiciUi64XLJ35swZGjVqlKc8KCjIur0gtWrVYvTo0URERBAYGEhsbCyTJk0iIiKCmJgYWrZsaZMYJ06cyCuvvJKnfPv27fj7+9vkNS6XkJBAbGysXeqWvOzZ3oYBR49W4NIlC1u2VGTx4mD++suPOnVSeeKJeJo1S6ZixUzCw5OxWKC4YViSk7lq/HiqfvMNKY0a5ekGNDw9Of3aa5y7/vriV24n+nw7ltrbsdTejlWe2jsxMbFI+7lcsgcUOjK2sG1du3ala9eu1ucdOnTgrrvuIjw8nHHjxrF8+XKbxPfCCy8wYsQI6/OEhATq1q1L8+bNCQwMtMlrXC42Npbw8HC71C152bq909Jg3TrzHrwvvzRXIQMzD7vrLnj7bbjtNh88PGqX7oX274eBA2HPHoiOxrdfv3x3q5v1cBX6fDuW2tux1N6OVZ7au6hXFl0u2QsODs639y4+Ph74p4evqBo0aED79u3ZuHGjTeID8PHxwcfHx2b1ifswDNi3z7zHbtMmOHIEUlPNFS0uXIAGDeCee6BrVwgIMGc6qVPHRi++ciUMGADVqpnXhcvJl52IiBTO5ZK98PBwoqOjSU9Pz3XfXnaXbEnuvTMMQwMypNQMAy5dguPH4cAB87F/Pxw6ZCZ0586Zq1dk/61y9dXQpInZe/fss9Cjh5l/2XRKxzVr4NVXzZEdW7ea3YRz50KVKjZ8ERERKctcLtnr2bMnM2bMYMmSJfTt29daPnv2bEJCQmjbtm2x6jtw4AAxMTHceuuttg7VYf76C/r3b4yfn7MjKT+SkppgsUBysrlaRfYjIyP3frVrm711lSqBn5+50ljbtubgimJ2QhfPmTMwYoS56kX79ubjkUfgscc0T56IiOTicsneHXfcQZcuXRg6dCgJCQk0adKE6OhoVq1axbx586xz7A0ZMoTZs2ezb98+6tevD8Ctt95Khw4daNGihXWAxuTJk7FYLLz66qu5XufQoUNs3rwZgH379gHw+eefA+al3yvN0+dIFSvCtdcmExRU0dmhlBvx8RcJCfGjUiWz/XM+qlWDhg3NS7AOT8ANA6KjYfhws5tx5kwYPNjG3YUiIuJOXC7ZA1i6dCmjR49m3LhxxMfHExoaSnR0NP1y3GyekZFBRkYGhmFYy8LDw1m0aBFvvvkmycnJ1KhRg86dOzN27FiaNm2a6zXWrVvH4MGDc5Vlz+03aNAgoqKi7HeCxVSvHowde4zw8OAr7yw2ERvrQu2dkABTp5rzsJw7Z16u7dMH3n3XnIRPRESkEBYjZ7YkJZKQkEDlypU5f/68RuO6CZdo78REeO89ePNNSEqC7t3NrsXeveHuu50bm425RHuXI2pvx1J7O1Z5au+i5h8u2bMnUi5lZsKGDRAXZ058PGWK2av38MPwwgtw1VXOjlBERMogJXsizhYXB1FR5v13WfeP4uUFQ4bAiy+a1/FFRERKSMmeiCNlZMDmzfDzz+ZMyxs2wDffgLe3eR/ezJnQsiX4+Dhh9IeIiLgjJXsi9pKSAqdPm0ndTz+Zkx5/+y3Ex5uJnJ+fOaz33XfNyZA1N56IiNiBkj2RkkpPh5MnzVmW09LMJTK2boU//jAfO3fmnpjv+uvh8cfhjjvMifi89OMnIiL2p982ZcHBg9QZPRqqVnV2JOVGnbNnzfXMLl0yH+np//z/3Dk4dsxM9DIzcx9YsSK0aGFOcvzEE+ZkfB4e0KoV1KzpjFMREZFyTsleWZCaSoWjR+HsWWdHUm5USEqCypXNe+m8vMx/K1Uy/23c2JwGJSTEXEKjdm3w9TUfDRtC1sTfIiIirkDJXllwzTXsnz273Mwb5Ar2l6N5mkRExL1pEU0RERERN6ZkT0RERMSNKdkTERERcWNK9kRERETcmJI9ERERETemZE9ERETEjSnZExEREXFjSvZERERE3JiSPRERERE3pmRPRERExI0p2RMRERFxY0r2RERERNyYl7MDcAcZGRkAHD16lMDAQLu8xokTJ6hatapd6pa81N6OpfZ2LLW3Y6m9Has8tXdCQgLwTx5SECV7NrB3714Amjdv7uRIREREpLzZu3cvN9xwQ4HbLYZhGA6Mxy2dPXuWoKAgjhw5Yreeve3btyuZdCC1t2OpvR1L7e1Yam/HKk/tnZCQQN26dYmPjy+0N1M9ezbg6ekJQGBgoN2SPX9/f7vVLXmpvR1L7e1Yam/HUns7Vnls7+w8pCAaoCEiIiLixpTsiYiIiLgxJXsiIiIibkzJnoiIiIgbU7InIiIi4sY0GldERMSGDh8+zOnTpwGoVq2ak6Nxf2rvK1OyJ2VeXGoq044d49GQEGr7+Dg7HBEpxw4fPkxos2YkX7wIgF/Fiqxft87JUbkvtXfR6DKulHlxaWm8cugQcWlpzg5FRMq506dPk3zxIvdOiOLeCVEkX7xImr6b7EbtXTTq2RMREbGxGg2bOTuEckXtXTj17ImIiIi4MSV7IiIiIm5MyZ6IiIiIG1OyJyIiIuLGlOzJlR0+bD5ERESkzFGy5y7slZAdPgzXXGM+lPCJiIiUOUr23IE9E7LTpyElxXxkzVAuIiIiZYeSPXeghExEREQKoGRPRERExI1pBQ2RAiRkJpCSmWJ97uvhS6BHYJ7y7G1AvuX5HWPLuopyzJXO7Up12Dqey49JN9JLFJctzs3e748z37eCXjfdSHfYZ6+g9hApK/L73GfzO3qKgPhUqFYN6tVzcGRFp2RPnC/7PkMX+kFJN9KZe2426ZZMa5mX4UHPwN4sS1iSqxzA07BgAdItRq7ygo6xZV1XOmZglUG5frkmZCbkObfC6rB1PPkd0/BSQ2qm13T4uTni/XHW+1bY6za81JCfz/3olPc6v3MTcVUF/dwBBBw9y/03vAap6eDrC7t2udTvsZyU7IlzZQ8uAZf6Qckgg3RLJrf/OZegxBPE+9dkdcuBJGQk5CoHrNuAfMsvP8aWdRXlmJTMlFy/WFMyU4pdhy3jya89dgWOddq52fP9cfb7VtDr7gocS7rFcMp7nd+5ibiq/H7usiUdC8ArNT1rx6x75l3kd9jllOyVFRnJkHQYKrnmB6nEsgeXBANxsS73gxKUeIIaCUdLXe7sulwxnlzbAq98jD3PrSTHOKouu8QTaMO6SnFMmZB0GI78DRWvcrnvJ3Gc/D7D8RdrOCma4tMAjbIg6TAcXwtfXWP+PzkOtr5s/ptTFeDUtLzl+SmojoLYs+5g4E1gfy/z/EpTZ3Ffu7xw53bRuZVNjji30r5G0mGY1RRatIOmTQuf2ir7tVJOley1XIW7fOZKcx7Zx+7eDMePO/a17UTJXlmQehrIgMwU8//JcbDtlfyTvTPTi56Q5VdHQexZdwBQATDSss61FHUW97XLC3duF51b2eSIcyvta6SehvOpcAlITS18aqvs1yroO6yscJfPXGnOIzkO1r8CLdpDr56OfW070WXccub8+fMAVC4jdZ8/fx7LkSMEerjOD42Io8Qdj6O2s4MQKY8uAKlp5sMNqGevDLmQDOt/+pWkpKR/yi5c4Ndffy3S8efPn+fd99/n3fff50LihSu/nh3rLkr958+fJ2rCBPxat8boUYK/rgSA48eOM3/BfGeHYRfufG5/H/mb1yf9DzCTPndz6tSpXP/a24ULF1i/fj0XLlwoUnme44H1v/5a4PE5v5fLkqKcf1HbyNnSks33ID09PVd5fvHb45wuJCW57GdByV4ZkpgC62N+42LyxX/KEhP57bffinT8xYsXSb10idRLl0hJyX/OoFyvZ8e6i1L/xYsX8UpIwDs9HculS0WqU/I6ffI069etd3YYduHO53b2zFnwML+iE84nODka24uPj8/1r70lJiayfv16EhMTi1Se53hg/W+/FXh8zu/lsqQo51/UNnK2SynJAGRkZOQqzy9+e5xT4sWLLvtZULIn4uYsx49DmntcihARkeLTPXsibizg6Fmq9B4JV6lntKyxHD8Ol12OEhEpCfXsibgx3zOJWNIugXHlfcV1mEn6AyWb9kFE5DJK9kREXMw/SbqydBEpPV3GLSNS0mDbEfCMO4nXnj3EnYW4P3dyKu0Up7LmfjoFpGeV5zf/yalTp7h48SK1L13i3K7dhe6bvb+96r68/rizEHcOyHHMqVOnrIM9Cnp9Dw8Pdl66BGfOcGHLFk55HCb9LJyI/YvMgIJf+0oSU/LetHv++Hn2pO2BfCbRv3D6AgHV8r5gQcfYsq7Cjkk8Y55HGlg/M0k1k8hvPo+C6rBlPAUdk56Szp6/il/X+R1/kZaUVOJzc8T7U5r3LQPzfduedoDqlXfZ5NwA0tPyvzzsiPf6/PHzxO/6g3P79xF3zjy3ZL8/yMzMu/ZoUXh4eBR4bKXUXQSeBY/YvziRdoa4uDi2bt3KiRMnrMecOnXKWh4XF5erzkqpuwi6ANWBE0Dc6dNs27aNuLg4PDw8qH3pEidOnyYuLo59e/eRfhZ2JR0E4OSBnf+00YULbNmypUTnZ08ZGRnEx8dz7Ngx6/n7peykStbPk0dVDy5dupRnn2yFtb2j7NxptvPJAztJvnAOgKSkJHbtOklg1nmcSTff+/g//oCjR4nz9OTMGbPszLZtcOIEcVnn4eHhgc/FnVTLet+LOmtiHLBt717i4uLYs2cP6WfBY8t2ajat5hIrryjZKyMOnYZ5C2HR4eX4/PgFL18Hrwy7D4CbrrqK5z09WephELc201qenwe6dOF/69Yx88tMjrei0H3tXbe1fh8Ppq3N5JWlALmPeaBLFy55ebHEI5Pj+bx+x44d+SE2lpuuv552a9fyaX2DuFawfsEUfvi55F+un8z5BJrlLvs56mdmrJrBs+ufzbP/1q+28q/B/8pTXtAxtqyrsGN+/G4nrS0WTmMwba35ntw9+G46T+lc5DpsGU9Bx8QfiWf86+OLVdeed7/njmk/crq+wbRKJTs3R7w/pXnfksB835aOttm5ASQcT4Br8hQ75L3e8+73NJ4xnv/VyyC9tXluHTt+yw8//JA3oCLo2LFjgcc+1Os6rgIiF0zhq8wKrI6LY/r06XmOqV+/PtOnT89T50O9ruPaizDMA+ZiYfWmTWw9doyNGzfSp21b5v/2G5MzM1lduzYpcRto6A2rDi3Eu0IFFo95AAAvLy+2bNnCmDFjSnR+9uRdoQKX0tKwWCzMmDEDgNYN4O6s3y9t27Zly++/59knW2Ft70g529tisRAbG8tXW5ZyFeZ5REREYDlyhKYzZ/Ia8EpGBhEREcTFxdFr61Y+9/Hhlazz6NixIwmHfmBgKAzz9GSJp0fO1RxzyQz0IN3HC6/UdKZ5erJ65kzi4uPZ/O108/inB4O3t0us+65kr4yoXw1GRYLPbPOyzqOd4e5ur3Iq5AaWLl3K7h496OV/mvSt93P3sHlQuVmeOk6dOsW2BQvwTk+ndyakd6bAfbP3t1fdOes/3C2MRw8/xd3XAe3+OebUqVOs/v573mnenB6dG+F/+Kk8dVr/At+1C+81a+iV9do9wp4hMyC0GC2cW0JKAn/yZ66ydg+044kBT7Cf/Xn2b9G9Rb71FHSMLesq7Jirn7qFozf1pdqCd3m08y7uHjaPpJr12ELeRLigOmwZT0HHBNUN4sM5HxarrptvbYb3x/9HNbJ+Hkpwbo54f0rzvlVaNY9H/7WfFt1fo/qNN9vk3AACawWSQN7pXBzxXme/b7caUL8ztOj+Go1a3Wm/nr0tA/AIe4YqadVJ/PxzevXqRc2aNXP17C1dupRevXpRvXr1XHVmHx/fDgZeM5XE77dxzz33EBwcbH7nDBjAQCCxbVsGD7mF+geeoEfYC1yqeDWenp6A2XuWmppa5GmsHGXnzp3cd999tBvwJD8veI/33nuPdu3amT17v9/H3cPmseu4BwMGDMizTzZX6NkDs409PT05deoUS5YsISIigns6NyJwywDuHjaPM+k12PTxx3gvXcqjwN3z5nGmRg0+//xzrrrnHh6tXp27c/XsbafK7/cR/8wseteowxq25vu6mTW8mLN5ND2S2/OopTL/OneOzz//nEF3h3P1j0/ivSoDMjLMlVeU7ElR+FaAWrX+eV67KtRu0JC4hi3YsGEDQa1aUd0nDo5A7ZbNIOi6PHXExcWxd+lSwOyepmrB+2bvb6+6c9YfeE1Tql8wz4kcx8TFxfHjhg2cB6pk73OFOq2vHR5a6H5X8uvWvJM9V65VmasrXs3+i3l/4eV3GauwY2xZ15WOqXxtKBUqVTI/My2bcTKwDlsu5E0aCqrD1vHkd4yXrxdXhxavLv9gf8Bcaa+k5+aI96c075vn2grUrgrNGzakatNrbHJuAF4V8v/qd8h73bQWhq8PVb0zqF01neYNG3JNq1b51lFq8cABIDyUzNTa1I6JoUWLFtSu/c/18OzvocvLcx1fFTLDmlJ7xxnCwsJy7VcTqF2tGo2bNKb6ufy/e2JjYwkPD7fPOZZS5Rp1ALj66qu57rrrzHM+mPVdW7mAfVyU9XdKYCDXNK4KB8zziEutzf5q1QDzTojazZoRV7s2MTExBGe9n7ne+fhMOAhc1xxLYB24kH+yB3ChTlXSA1pQ26sGxMURExPD1VdfTfU/7HeeJaEBGiJSJqUE+2NU8AaLsyOR4rhQpypntv8MU95ydigi5YaSPREpky7Uqcq5JVHQPMzZoUgxZdarA1k9LSJif0r2RKTMMmrVggoVnB2GiIhLU7JXhlTM53eav78/kZGR+Pv7X/n4ihWp4FX02zTtWXfO+iv6VSywTh9vb3y8vfH19S1W3fKPajWqEdkp0tlh2IU7n1vV4KqQddN4YOWCxgOWXUFBQbn+tbeCvs+K+j3nX6li/scDkddfX+D3mKvzquADmN+3pdnHFWS/l16X/S7y9/fn+uuvz3ffovx+K+7ru+JnQcleGVLJJ29ZQEAAkZGRBARceVK5ypUr0+/ee4v8evasO2f9lSpVKrDOp4YN46lhwwjwL8WkeeVcrZBa/GfAf5wdhl2487ldVfcqXhz1PAC1a+UzwV4Zlz3yNftfeyvo+6yo33MBAZXyPx6IbNOmwO8xV+ftY/4hXVj8RdnHFWS/l5cnewEBAbRp0ybffYvy+624r++K7aTRuOWMLT/Yjqi7cuWs4WDxNq9axOW5Y5LnNqpVg+wrDtWqUfTpd0UcTz17ZYFPNcATPLKu454DlgBel93g7Fcbwl4y/72Sc0DwI0Xb1951+1QDD1/z4VPATdtFff3ivnZ5UZz3r6zRuZVNjji30r5GYd9N9eqZk+VmT5jrLu+VzqP0beBXG5o8UrJj7UQ9e2VBpXpQqzP07AjjO8O5FFjhC29fNmGxX21o8XLR6jwHVH+0eMmevequVA+67/rn/6V5/eK+dnmRs/3STzo1FJvTuZVNxflOcdZrXOm7KedEuY44H0fIdR5xhe3p2i5/P/L0xBbx2JL83PnVhqsfBaZfcVdHUbJXVnj6QWi4+Vfk6dPmh9UF1tuzmYKSvKIqzg+yiEhRlfa7SVxDdk9s9v/LGSV7ZU29euXyg3pFdvpBjvevmevfy8uL+n971VWcYy5X3DpsHY8t2+Nyzo7HVc+ttP8v7TFXOjcRuyrF74b8Prtl6fOsZE/chw2TPE888TI8WN1yoLXMy/Ag0DMwTzmAp2HBAnnKCzrGlnVd6Rhfj9zT1vh6+BarDlvHk98xDfdbnHJujnh/nPW+Ffa6Dfdb8DIsTnmv8zs3EVdV0M9dtrLyeVayJ5IPL4sXA6sMIiUzxVrm6+FLoEdgnvLsbUC+5fkdY8u6inJMTiWpw9bxXH7M395/E+IV4pRzs/f748z3raBj/vb+m8gqkU55r/M7NxFXVdDnPltZ+Twr2RMpQKBHYL4/xAWVZ29zVl2FHWOr17VlXTm3nbCcKHFd9ojHVeqyVzwnLCcc9tkr7BiRssAdPsOaekVERETEjSnZExEREXFjuoxb3thzihJNfyIiIuJylOyVN/aca6icz2MkIiLiipTslUf2TMSU5ImIiLgU3bMnIiIi4sbUs2cDhmEAkJCQYLfXSExMtGv9kpva27HU3o6l9nYsV2zvxMREAC6lJlufXx5jUfZxRS4RZ1bbWf9vp3iyzzM7DymIxbjSHnJFR48epW7dus4OQ0RERMqhI0eOUKdOnQK3K9mzgczMTI4dO0ZAQAAWi8Xm9SckJFC3bl2OHDlCYGDZntixLFB7O5ba27HU3o6l9nas8tbehmFw4cIFQkJC8PAo+M48Xca1AQ8Pj0IzalsJDAwsFx9eV6H2diy1t2OpvR1L7e1Y5am9K1eufMV9NEBDRERExI0p2RMRERFxY0r2ygAfHx9eeuklfHx8nB1KuaD2diy1t2OpvR1L7e1Yau/8aYCGiIiIiBtTz56IiIiIG1OyJyIiIuLGlOyJiIiIuDEley4sMTGR4cOHExISgq+vL61atWLhwoXODqvMW7t2LQ8++CChoaFUqlSJq666in//+9/89ttvefbdsmULt956K/7+/lSpUoVevXqxf/9+J0TtXj755BMsFgv+/v55tqnNbeOnn37izjvvpGrVqvj5+XH11Vfz6quv5tpHbW0bv//+Oz169CAkJISKFSsSGhrK+PHjuXjxYq791N7Fc+HCBZ577jluu+02qlevjsVi4eWXX8533+K07XvvvUdoaCg+Pj40bNiQV155hUuXLtnxTJxPyZ4L69WrF7Nnz+all15i5cqV3HDDDfTv358FCxY4O7Qy7aOPPuLgwYM8/fTTrFixgqlTp3Ly5EkiIiJYu3atdb+//vqLyMhI0tLSWLx4MZ9++im7d+/m5ptv5tSpU048g7Lt77//5tlnnyUkJCTPNrW5bSxYsICOHTtSuXJl5syZw4oVK3j++edzrZ+ptraNHTt20K5dOw4ePMg777zD119/Tb9+/Rg/fjz9+/e37qf2Lr4zZ84wffp0UlNT6dGjR4H7FadtX3vtNZ5++ml69erF6tWrefzxx3n99dd54okn7Hw2TmaIS/rmm28MwFiwYEGu8i5duhghISFGenq6kyIr+06cOJGn7MKFC0bNmjWNW265xVrWp08fo1q1asb58+etZQcPHjS8vb2N5557ziGxuqNu3boZ3bt3NwYNGmRUqlQp1za1eekdPXrUqFSpkjF06NBC91Nb28bo0aMNwNi7d2+u8kceecQAjPj4eMMw1N4lkZmZaWRmZhqGYRinTp0yAOOll17Ks19R2/b06dOGr6+v8cgjj+Q6/rXXXjMsFouxfft2+5yIC1DPnotatmwZ/v7+9OnTJ1f54MGDOXbsGJs2bXJSZGVfjRo18pT5+/tz7bXXcuTIEQDS09P5+uuv6d27d64ld+rXr0+nTp1YtmyZw+J1J/PmzeOHH37gww8/zLNNbW4bn3zyCUlJSTz//PMF7qO2th1vb28g75JVVapUwcPDgwoVKqi9S8hisVxxvfnitO2qVatISUlh8ODBueoYPHgwhmHwxRdf2DR+V6Jkz0Vt27aNZs2a4eWVe/niFi1aWLeL7Zw/f54tW7bQvHlzAPbt20dycrK1vXNq0aIFe/fuJSUlxdFhlmknT55k+PDhTJo0Kd+1pNXmtvF///d/BAUF8ddff9GqVSu8vLyoUaMGjz32GAkJCYDa2pYGDRpElSpVGDp0KPv37+fChQt8/fXXTJs2jSeeeIJKlSqpve2oOG2b/XszPDw81361a9emWrVqbv17Vcmeizpz5gxBQUF5yrPLzpw54+iQ3NoTTzxBUlISo0ePBv5p34LeA8MwOHv2rENjLOsef/xxrrnmGoYOHZrvdrW5bfz9999cvHiRPn360LdvX7777jtGjhzJnDlzuPPOOzEMQ21tQw0aNGDDhg1s27aNxo0bExgYSPfu3Rk0aBBTp04F9Nm2p+K07ZkzZ/Dx8aFSpUr57uvOv1e9rryLOEth3ddX6tqWohs7dizz58/nvffe4/rrr8+1Te+BbSxZsoSvvvqK33///YrtpjYvnczMTFJSUnjppZcYNWoUAJGRkVSoUIHhw4fz/fffU7FiRUBtbQsHDx6ke/fu1KxZk88//5zq1auzadMmJkyYQGJiIjNnzrTuq/a2n6K2bXl9D5Tsuajg4OB8/8qIj48H8v8rRorvlVdeYcKECbz22msMGzbMWh4cHAzk34MaHx+PxWKhSpUqjgqzTEtMTOSJJ57gySefJCQkhHPnzgGQlpYGwLlz5/D29lab20hwcDB79uzh9ttvz1V+xx13MHz4cLZs2cK///1vQG1tC6NGjSIhIYE//vjD2mPUoUMHqlWrxoMPPsj9999PrVq1ALW3PRTneyM4OJiUlBQuXrxo/YMn576X/7HvTnQZ10WFh4ezc+dO0tPTc5XHxsYCEBYW5oyw3Morr7zCyy+/zMsvv8yLL76Ya1vjxo3x8/OztndOsbGxNGnSBF9fX0eFWqadPn2aEydOMGXKFKpWrWp9REdHk5SURNWqVfnPf/6jNreR/O5dAqzTrnh4eKitbeiPP/7g2muvzXNp8IYbbgCwXt5Ve9tHcdo2+169y/c9fvw4p0+fduvfq0r2XFTPnj1JTExkyZIlucpnz55NSEgIbdu2dVJk7uHVV1/l5ZdfZsyYMbz00kt5tnt5edG9e3eWLl3KhQsXrOWHDx9m3bp19OrVy5Hhlmm1atVi3bp1eR633347vr6+rFu3jgkTJqjNbaR3794ArFy5Mlf5ihUrAIiIiFBb21BISAjbt28nMTExV/mGDRsAqFOnjtrbjorTtl27dsXX15eoqKhcdURFRWGxWAqdy6/Mc96sL3IlXbp0MapWrWpMnz7dWLt2rfHwww8bgDFv3jxnh1amvfnmmwZgdO3a1diwYUOeR7adO3ca/v7+RocOHYwVK1YYS5cuNcLCwoyQkBDj5MmTTjwD95DfPHtqc9vo3r274ePjY7z66qvGmjVrjIkTJxq+vr5Gt27drPuorW1j+fLlhsViMSIiIoxFixYZ33//vfHaa68Z/v7+xrXXXmukpqYahqH2LqkVK1YYn332mfHpp58agNGnTx/js88+Mz777DMjKSnJMIzite2ECRMMi8VivPjii8b69euNN954w/Dx8TEefvhhZ5yewyjZc2EXLlwwnnrqKaNWrVpGhQoVjBYtWhjR0dHODqvM69ixowEU+Mjp119/NW655RajYsWKRmBgoNGjR488k6dKyeSX7BmG2twWLl68aDz//PNG3bp1DS8vL6NevXrGCy+8YKSkpOTaT21tG2vXrjVuu+02o1atWoafn5/RtGlT45lnnjFOnz6daz+1d/HVr1+/wO/qAwcOWPcrTttOnTrVaNq0qVGhQgWjXr16xksvvWSkpaU56Iycw2IYOdbPERERERG3onv2RERERNyYkj0RERERN6ZkT0RERMSNKdkTERERcWNK9kRERETcmJI9ERERETemZE9ERETEjSnZExFxgAceeACLxYLFYrH5GpzDhw+31u3v72/TukWk7FOyJyLiILVq1WLDhg0sWLDApvX+97//ZcOGDdx55502rVdE3IOXswMQESkvfHx8iIiIsHm99evXp379+lSvXt3mdYtI2aeePRGRYjh16hSPPPIIdevWxcfHh+rVq/Ovf/2L7777rsR1WiwWhg0bxqxZs7jmmmvw8/OjTZs2bNy4EcMweOONN2jYsCH+/v507tyZvXv32vCMRMTdqWdPRKQYBg4cyJYtW3jttddo2rQp586dY8uWLZw5c6ZU9X799df8/vvvTJo0CYvFwvPPP89dd93FoEGD2L9/P++//z7nz59nxIgR9O7dmz/++AOLxWKjsxIRd6ZkT0SkGGJiYnjooYd4+OGHrWX//ve/S11vamoq3377LZUqVQLM3r4ePXqwbt06tmzZYk3sTp06xfDhw9m2bRvh4eGlfl0RcX+6jCsiUgw33ngjUVFRTJgwgY0bN3Lp0iWb1NupUydrogfQrFkzAO64445cPXjZ5YcOHbLJ64qI+1OyJyJSDIsWLWLQoEF88skn3HTTTQQFBXH//fdz/PjxUtUbFBSU63mFChUKLU9JSSnV64lI+aFkT0SkGKpVq8Y777zDwYMHOXToEBMnTmTp0qU88MADzg5NRCRfSvZEREqoXr16DBs2jC5durBlyxZnhyMiki8N0BARKaLz58/TqVMnBgwYQGhoKAEBAWzevJlVq1bRq1cvZ4cnIpIvJXsiIkXk6+tL27ZtmTt3LgcPHuTSpUvUq1eP559/nueee87Z4YmI5EvJnohIEfn4+PDRRx+Vqo709HQsFguenp7WMsMw8uzXoEGDfMsjIyPzlGdmZpKZmZnv/iIiumdPRMRBDh06hLe3Ny1btrRpvSNGjMDb25s5c+bYtF4RcQ8WQ38KiojY3cGDBzl9+jQAfn5+NG/e3GZ1HzlyhBMnTgDg6elJ69atbVa3iJR9SvZERERE3Jgu44qIiIi4MSV7IiIiIm5MyZ6IiIiIG1OyJyIiIuLGlOyJiIiIuDEleyIiIiJuTMmeiIiIiBtTsiciIiLixpTsiYiIiLix/wcivc204ap2UwAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot emittances\n", "emit_x = np.array([tw.emit_x for tw in tws_track])\n", "emit_y = np.array([tw.emit_y for tw in tws_track])\n", "gamma = np.array([tw.E for tw in tws_track])/m_e_GeV\n", "\n", "s = [tw.s for tw in tws_track]\n", "\n", "fig, ax = plot_API(lat, legend=False)\n", "ax.plot(s, emit_x * gamma * 1e6, \"b\", lw=1, label=r\"$\\varepsilon_x$ [mm $\\cdot$ mrad]\")\n", "ax.plot(s, emit_y * gamma * 1e6, \"r\", lw=1, label=r\"$\\varepsilon_y$ [mm $\\cdot$ mrad]\")\n", "ax.set_ylabel(r\"$\\varepsilon_{x,y}$ [mm $\\cdot$ mrad]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Eigenemittance\n", "\n", "As can we see, the projected emittances are not preserved, although all matrices are symplectic. The reason is the coupler kicks inroduce coupling between $X$ and $Y$ planes while the projected emittances are invariants under linear uncoupled (with respect to the laboratory coordinate system) symplectic transport. \n", "\n", "However, there are invariants under arbitrary (possibly coupled) linear symplectic transformations - eigenemittances. Details can be found here [V. Balandin and N. Golubeva \"Notes on Linear Theory of Coupled Particle Beams with Equal Eigenemittances\"](https://s3.cern.ch/inspire-prod-files-a/a0b74ceb25bfb372d743c8227edfaf48) and [V.Balandin et al \"Twiss Parameters of Coupled Particle Beams with Equal Eigenemittances\"](https://arxiv.org/pdf/1205.3589.pdf)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot emittances\n", "emit_x = np.array([tw.eigemit_1 for tw in tws_track])\n", "emit_y = np.array([tw.eigemit_2 for tw in tws_track])\n", "gamma = np.array([tw.E for tw in tws_track])/m_e_GeV\n", "\n", "s = [tw.s for tw in tws_track]\n", "\n", "fig, ax = plot_API(lat, legend=False)\n", "ax.plot(s, emit_x * gamma * 1e6, \"b\", lw=1, label=r\"$\\varepsilon_x$ [mm $\\cdot$ mrad]\")\n", "ax.plot(s, emit_y * gamma * 1e6, \"r\", lw=1, label=r\"$\\varepsilon_y$ [mm $\\cdot$ mrad]\")\n", "ax.set_ylabel(r\"$\\varepsilon_{x,y}$ [mm $\\cdot$ mrad]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }