{ "cells": [ { "cell_type": "markdown", "id": "5e8c5c91", "metadata": {}, "source": [ "Title: Physical Neuron Models\n", "Author: Thomas M. Breuel\n", "Institution: UniKL" ] }, { "cell_type": "code", "execution_count": 2, "id": "70c98bc2", "metadata": { "collapsed": false }, "outputs": [], "source": [ "\n", "from IPython.core.display import Image \n", "def fig(x): return Image(filename=\"Figures/\"+x+\".png\") \n", "from pylab import *\n", "def figs(*args):\n", " for i,f in enumerate(args):\n", " subplot(1,len(args),i+1)\n", " axis(\"off\")\n", " fig = imshow(imread(\"Figures/\"+f+\".png\"))" ] }, { "cell_type": "markdown", "id": "58207c38", "metadata": {}, "source": [ "# Experiments on Single Neurons" ] }, { "cell_type": "markdown", "id": "7cf62bb2", "metadata": {}, "source": [ "We already talked about voltages in neurons before.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "67ebc859", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ChgYKC4vAkZmdTWFbDo4NMzMzdHV1ceLECaqqqmhpaaG8vDz/Wt3d3Zw9e5Zs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1niwGziHAtCXy4ZiCyI0J/JuIpFFZFJclOuL8JKZINzLW4ylCoLtmPnHRQ+wp+0nyyYzTii2kLc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ynBAtvrqgoDHVQCUKUxiycgmpJM6AEJpqKcF6Qb3mKfI6WWewEDQOfOHw1qNLDoFFK2jYHO9A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\n5fHnv/+R2ePy+Yz5InQe+ZArL/w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6xxKGGp2RONfn5/LIWhPuhPOYOCJJGCxxJJyjISZb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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# measuring the membrane potential\n", "figsize(12,6)\n", "figs(\"membrane-potential\",\"membrane-potential-output\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "9c294a7f", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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JZ599xpo1a7gxPMwnn3zC+PgYT+x5BtMyMQvSP4GsC9UwwDCwLEilM0QiEeLx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\nuNZoV/IsJaqurc9cOp2OIs8tmhdrqb8m15E4IwDZbLb5+WrHzXGcqHl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Gx/EoLyxQyGco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1VU3t9QCCEYHhriE498DOcdtWqVOI7zqsT1E4fORf+fWlvhn9r53IxfbxjnaWUOl3qiRsb5V1/k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\nLp6LY1co5JdY8uDCwf1MLJRoy60hF47R1LuV9raDZPS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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# depolarization\n", "figs(\"depolarization\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "c7336bf6", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8rjiNz1wT7EZ8vFd9S947JgoXFQjobVgWZnUpxc1i6XSiEmFx8QG3rM5jYMNm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4Zvrbvr6+jGQfRq/BpzC0GVJgY6PbyGZjY4mORaTQsWtAeZ06dcI+qMXLgkWtRG0mJmASU1Mu\nRZHJycmvJI7Hjx9v27a9WbNmOmICLlKpSAMDwyZNGxK0YgmjQnc7KhJssUfJKdBPrCcwf+exYMHi\nnaEyLZoPjlpNTCSS2dVcvurs33179uXm5ly+dNnb2zsuLk4sFoPBZW1tbWZmhs6qZfrtCtLcxjI5\n+VlaWlpsZBSXa2qKW73F06hYsHjPqIGUxKA2ExPwhWPrDkdDjp45fcHLy6sKNc/U1NSLYZfU6mJw\nbMo1PX/+wp9/rnN0bJ2RkQH9NUtLvqYrx8cEluaFhdTo0b5Zyuz+X3gxh2Sx3MSCxdtFbSYmIAyZ\nTPwSKzoeGvzw8wdHj/5bnpsYSwosoOzsLObE+m3btsGdY8eOAzHFxsZi9AmojGPo0ElFUiMjHPp9\ntra23333HTu6xILFu0BtJiaMPljGlLB8npseE3Pv/PnzAwYMKO+GYRYLC8s1a1aCcXTkyJFdu4K2\nbdvetm2XnJwcuK9/qJlYJnbp2P7pk5SBAwdIJBKWlViweBeozcQErCEWi5ctW7Jz1/Yb1yNOnKiY\nmDgcTlLSc+iyycRSvkgEdAOm0/gJ38fE3MLQSYQ83UolRoJ686ZAfapiwYLFW0dtJiaMXjEAZNSn\nTx9f3zEPHkTr/6TrhRUXF9+8eREd9ITjTM8O+mtgZ924eQ2umzVrqpMrZvWkWbB4P6jlxKQjEQsu\n99GjPN19ZpaUkaNMiEk4evSYubk5YxnBI5YCS3NzblTkPSMjQ4nYvjrHYLFgweItopYTkw42Qhvy\nKqmzknSSo3AnMCgwOfnZD99PxvT00u3s7ENCjpmYGH/mWB/ns5tOWLB4r/g0iIlCXKPKy4LLyMgY\ngYAHAErav38/GEqXL4f17eP1/Q+++juMhEIbA4OXcGHXvPW7O2SFBQsWFeKTICaCT9jZ2RUVYidP\nhm3atMbaymZjwDqKolauXJWVnWFmaunv/7tIhA7G0nX9unTpsmvXLq6ZhUAgqtJvFixYvH18EsRE\nYiSHY16kppYunf/06ZOGDRsx23rh88VzRYsuDo6y1mUecbJzkkikDRvZluxQYcGCxfvCJ0FMBElI\nJPUsLazv3ImCr4ZGqHOnpJTZ2VmGhoZdu/QqI3EJdpPQXrh32x6cx44usWDxAfBJEBNwjlAo7NLZ\nbc++vZYAC+u9J4KV8hSSJK2s6voM9ywvcYkWeX84+T4WLD5xfBrERMPByWH/wf0ODg7p6ekBq1dB\nP47LNTcyMuRgpuzSJBYsahQ+FWIC6vEZ6AMXbdq09vP7LTIyCieMdmwPunj1xocOGgsWLMriUyEm\nAM7DfXwQNxkZ4mp1cYP6EmcarDYuCxY1DZ8QMRE0MLRGydbAgMPlmrJb3liwqJn4hIiJAUkqJLJm\nhqGGjo5Or1RrZ8GCxQfBp0VMNAfxv/cd2cWlnXOLFsxNlpVYsKhp+LSIiZHH5fF47u7ujGAACxYs\naiA+LWLC9A6lYQ0lFixqLD45YmLBgkXNB0tMLFiwqHFgiYkFCxY1DiwxsWDBosaBJSYWLFjUOHwc\nxMSugWTB4pNCzSImDofDnFlMov8ogtDsYmNZiQWLTwo1i5gYgH2UqUyJvZ/It+VLhQKcb0WRz/lE\nvQ8dLhYsWLwn1CxiAnMJWCk0NHTjn39xLfB8qqhZs6b+s/1xPvdDB40FCxbvDzWLmBhERER8/8N3\nfbr1UVLU4MH/i0tKdOLbf+hAsWDB4v2hJhKTn58fRmFypfLA/gN8Ps/SBMdIjD1CiQWLTwc1kZjQ\nVluKnDtnZsTtGwsX/sETCllWYsHik0LNIiZmWQA6uJtPzP11YfjN8K2Bf4vFDfi4PctNLFh8OqhZ\nxITR3OTv7z+o3yCZo6wHr8fuvVvv3bnv5MSOMbFg8QmhxhETWExmZma/zP61e4+uMffjzc0tevR0\n/dCBYpSbNDYbMujoQS+02IqgCIzKUj2H+8ZmlgRmgZFaBXHG9MNoh5gSw3jsOBkLFtVEjSMmsJgm\nT54sk8lOnr/o3rOrl5cXRqHVlkQNqtUKksiGfwpUWcrUZzdvRyenKlRUfnOpsH4DG1E9Ic+igTHH\nGiNN6QWihPaPBQsW1UXNIibdCu8+NLCasuabCQMYQOhg8YLipzHRN6/fiIu4eU+lyqPyChlH545T\nJjiOmxrZt2rm2Eras6sngdUj0fp1/ocLOQsWHyXeHzFxOBzmgtl0UjVqBh/pA7ES02vbtmfXpQvo\nNDqxtEG3Jn0d2nXkm5oo8vLh8+6DewlPbgFh3b5+Pzg47PsfBjo6uJMYTtQog48FixqP90dM1eGj\nmgl6Bx8wpZJhpVPHwxvUb9urW5f2PbpZWfKpggJwI1SrlUpl587dvQgv8hss5OD+PUe2/rF855df\npg/yHMt25ViweC3UrK5cTQaw0uGDl8BW8ujr6tFjikQqgpvASrixMYaGwDCC4qFBchIZez16eIkt\nbNYdWrdnz8kmDTo5NXNj14iyYFF9vCdiSkhIwNBJk8LX7aMxHcBKrS392k5iHDNanKAqCtCdjELQ\nvTPMjGPGfNe9gsQU9L+4rvdVrMrIKn66akPg5QuXPfoO9x48SWSp9QWxEqZ5H7/ktXyC37Jz19Wu\ntr8tmLfqzyXzZufY8Lq/UXeu/FEuZT0pn0SkArqPVXWH0XQhofms3ovISu6/Tei0JUreSZSNHXO0\nDcHoT2BVjd/ppHL+o2aOfqjKeEXPycBNCmW4XnrSzrDDh0OLi3M8Pb0orIhP1EMhp0j6LAx0hYqL\nXlCxiocvXp37tRXvg5gg3QMDA52dnZnx7Go9AlnOTMUVl80JWhGFLgaENi9RQaCzTEWXjKpKIaHz\nhbkuJspRHpmHYaYUlqstKOA0796jnLt3ojt2HOTz9XCesaZaEFhV5YRSYjiv4c+Tv5n2y/L5v+2Y\nNktqL7XXFsHSgakG6HF3tBCBoCOrSRwUCKJ8tYHSD7+npqbiGI4OQK+g8urqkq5KVMlijE2IamDF\nfKfLrzIgXjOapf1ET5Zpk5iXx8TE3Lhxw9vbu1xQy3KQQqHg8/n693VRrpqwdL8WF6uYO8mKF6YY\nsKQpgfFJJiQkpaDycNyUTkkFRuCa+WMCS05NWbt2TWpqmqurB2RbjDxGIrRnWIkmG7inYDKUkfch\ntaWYHo3UharypCO19MysWqlxY7L/Fe/JYnqSlOLr64tVv/kiKW1jQdGfeGlOIRUUlafMNIVahxvj\ndCwoRZ4yW2lsjNcXWWmyvAIQun8rO1Zuc+COR48TVv2xSpP5JJVVnBEaur04z7K3l5spYYapMawa\nxg9fhHhDTHTs13NQ0L6t1y6dlSCDEde+9g1KEqVto/U/S1kNusPy4uLixo+fOHbstyNGjIDKifNL\nijJ8QhsOEYuMvilu2BjqVZkGvBw0K7coKhMcV2RnlQQMK/2JBv5LnFU34nQkSM2Ly5QW2tsjR45s\n3hzo5uaBdisxZhHTVugVMEpJhYeHu7q6wh2K0lAqcw2Fhq7N+lGoIHilyyo1f/rCF4r0zZvWYXRq\notkQCv448+fPnzRljNDGFhVaTb7gsfcT7969Z2RkVIzlzV+6Lj7+4Y4d28E9sCQdPUqTbrT3Bw/u\nb9GqlaSRVMvslLYAV25DEZTmd006U0SlZb5Cf2o63gcxQVEoKKSq34+7ejX8wYOHXt59467Gq1Tk\n9Vvnv/DykdhL6LpBIROAwkLOnlm9ZP62vXtjI2OPBu9bvn7NihUbwS6bMNl3xPBRViJbTe4yzZGm\nqYcPJUmiFrigOMPSrF6W6vmhgw/UqjxvL28oY1BooA6fOH754cP7CWPkQnsebSPkxTy6efViBHTi\nxA0b5anScH5dUlf3Kml7NXcUaLmlk5PDsdPml86HeXj0sUKlx1RBgSWjTRwllZQmF4uFEK8yXQ+m\nR4DRBTfk2PFnz5QNGvCm/fJzloJKTn7I4Zjn5OQ0b95UJrPH+TiVCp5q0gcicvjQsZiY6PnzF8Lj\n9evXP3/+PFisERER8Llz1/afp/0sEFl+N2Z8w0ZNUE0jrPSMQB3rKmhewK9evRMTczfq9rWLYZec\nnFoPGTLYzs5OIpFoaxcdC6wIMmvL39um+E159jh29crAzp07qVQq3zFfCsW2TEbQ/uKkxlgldBzK\nJKDOqymTpkyZNlbSyB5oxdbW1t7eHtMtZyU1eRoVdSdLkR0Scsizh6dQwqNTCVcqlYcOHYqOjJ7h\nN0Mo5C1cvmznzq0zZ08a4zt53LgJTZs29pvqB+6+HOqTkpo8f/68Pt36KPDnK/zX9OvX19HFvoRP\nKezrb33A5ayZ/iYECXwBphBFFkH0MzLSdgbtGOM7Figm5OjZhf6zwFlmppLL5fp8PQBcZqZmbtyw\n1UZo9iJNzbDh9avRoaEn4CKPyrTCbaGABQcHnzl9ATcx7OTWycvLa8WKFQEBAV6fu3/51ZDk5JSh\n3j5ghWF4ETS3BcXx8KAlx1qbUkWZqUVXwy9HRsY3aSaUp+SMHTs8IiI2OGTfnGlzCREqUgpFJnKJ\noxEGPsFFJZ/APz5aeg/EBGUuLi5GKLTBqmEuMQ6gfO8/uH/Xzt23I28VFBa9LC4+f/rmuPFTuVwO\nVLCzZ88LRXVv37qTkfnCy6N/drZSrca6djsO902MiU1/7j584OSRI//wcN7e4EBzM/MePdzl6WnX\nrl25cim6SJ2dkCjPzc3IzKSMjAxfvszPzMyB98K7VgWsgCq9e/fh27cjcnNVE3+eNGSI9/I//J1d\nm+qCt3DuiltXwkeOHHH8eKgJbsizwJ3aOE70nVy+VQfjIiz8em42xrXAqGK00Olp+sNly5f28+zD\nwSymTfvZ4bPWi5cshKI77edxly5etLYW/PrrDCimqEWltC0cgSUkPV6zavPefUG5OaShYZ0rV1+G\nnrgIv6jyyJd0H4fLNevp3se9Z9eVK1dBTcinCkxw4/btOl6/cWXkSN/z5y9MmzYNGE+pVHA4RsXF\nhXXqcAwMOA/iHtWrZ52cnAF/7dp1d3Rq6fW/nkCdwHqSRgISM0X1iMKgEu4JOpaY+Lio6KWVFU9o\n0+Ds2XMhIccsLS0HeveBuISG3Dh7NhTeKxIJoNuSlia/e/9+Xp4qKSnx+vVrhgb47duRo0d7gzkA\nZGrJx/PzVdu2HGLsi8QnCffv3oUoWPDMIaFCQ0Kh+5Oenv7wIaqNvfp0mjjp544dXb//YQSkmJkZ\nAW1VSkoKvOPM2ePPnqYLBML583/39/d36dh++R8LAzfv+eefI1lZWcbGJvD4jKkzQkL+EYsb7th2\nuF2bLpGRt6HrB00j0Nbde9GtWzsvWrQYaB0oe1fQdqjksQ9ud+jQUWgjSEqS/7l+1aWLlzFMPXCA\nV34BaWFhaW5ubkZYFhYWderosXL5ZluhLY9Xf868X+FFAoEA4r5t23b4g4Lx8OHj46HHjTjGHEPO\nt99OePzw8YQJE1QqisN5Cbnv7NgJXjpv3jyumYUyK3PPvr2Qa2nyF3XqGB44eBz+wCA9cTz87t07\nUKK4XNPYuPt1MEOJpHFhYcGLDLmxkWFODiR2IZRbDDPgcs0THiWEX72SmZkRfimyYSPb3GwKOFeV\nm8cx4EDANm/+i6b1jxLvw2I6duz4559/jum1jWZmZtCclicpuF9cXBywKQDKaFhY+Cr/VUOHDYb7\nJy+GXbx4jmtm1rZtF18fX54Q7AvtsxT5/eQJy5Yt37fvCPSVoEH9ov/AwYOHzJgzf/6clW5uXf89\nckFk06B3v34JIuXpM6HTp892cGiFay0WHo7HxSUuWb2wc9uuJsZ4h/auv/+22Mm57bxF89as2NhE\n4nTx5JW61pZUfkHQ5q029QQvnmcc2HdEZm+P1zHCzcz+2hh09mTk4T17SK2NnShP/Hni9KSkpIwX\nSvBNIBLAzfr1mslTrqSl5C5f8ldGepapmVnE7RttnDvkF1CWFhbXrt3l8XjDhw+ZMmVi06ZiGxvx\nQv/p342ZJpfLgQI6dep+6OB5sVhy/XpYxK3rfT27Ozq21tlrSiU2deoYIFafYaNzc7MHeA60FPCO\nhmyb8es0MGoopXLG7Ll9PPu4uLhA/4Uv4tM9ECwuKdHEBIfk2rv7wPxl8+rybTYF7IHy3bGDh4mJ\nSXFRcaEaSr960qSJp4+eRCMjWmOKVJBypXLrlkB56pOd244CIc6c+TPc16UnDd3QnyIxTrnn2N5L\np6Oj7kfzeFZPk540s5d2dfM0NDCCrOnl4QnO0tIUluaWX/p8A9cSSUMgRC+vrqdOn/H/bbk8LTVw\n8wF5ynN5+jNgW3Avk8lGDv1OLJPQBYCEJBo4cJCH+4Aff5x88eIFoPXU1FTI/bZd2vz80/TJk2f8\nOnXa11+Pmj17ZjsHtywsq0ePHouXLobQQv0eNGhgZGRUu7Ydfvn5dzNTU0eHS4VqFRh6P4yfsmpp\nQGDQesjoQ/8cSYqLU5BoRYiL02fwuWX37pkzF3fp7Hbq1AlgupIoY9iytWt7uzUPDNwsT5RDOZRK\npbt2HLx1+8qV22ESngQeBDYEck9KSmc6fNDdfpqu8OrVndkfmi5Ph1ePHv3VqlUrXV3dlXIFzsMY\nK35nUMDggSOhkDBpGxOZcPZySIMGzR/Exc7wmwtx6datE1DnpCk/dHPpBk/RfUxoLURvrxK/b7xz\nYoKEhBRv3Lgx9Fkgw9KyUqFeFaN1QVWZTp6eA1Q5+b0H9GRml3r18ujf3wPT9Owx+qbGJfQ2fpw6\nTaHIsbeXohk1iizIV9+7d3/e9N/+Dgzq7tIe9Zsw9AgUrBm//oZpRo1LhrBkjvaBG3advHgK2kYX\nl/Z0mLGgrVvQe3DidvzlRfNnyFpKf5oSAK+lKOicUTgPjchA9nfq1W3syJEbtgSOG+fLmHtH9h4J\nu3y5v9cACJWTkz0zJJqkDJn2S3zHrg2GD98CD/KNjVFQlWTwqf0GdcykQhGEZtmyNV5evWNjE+Hv\nl2lF0EKOHvvD9z5jeULNoeaQApAOmhHrksEXcnfgLqaLoxuamDh+hi4lV61ZpWkPCE12wLtkMgmj\n4tB/2OcduneGpFMoEMWH3bna0IJvYmny4MGzQwf3QB+HQoMXmr4do/og5RPz5v9WvcznS2T4DNkM\nQjcUQociITFVKBTRI8U6aHcjUmhUaubUWXbObR0d7Zm80MzEEczwsDYwdD4CNRw6dBCjJ3yZVo3H\nw7/6avSBAzvGjhwLriZP/8l9QL+e7Vzowa4Sgx0cjxo1eubMWROmTZ8+efwQ769m/DgVOj0kpRkW\n8xno4+k5EPjWydFJG330OGT0gAF9gSPolCR1fVK4njBxDNzkcDhSeylz05TLgRcJcSGk27Bhw6Af\nbWlpQlEKAo00QS7IZE50F5rCFixYQD9CgEEq4kF5IEVCPjPLbG1tDRmqQDlEMIkgkUl9ZeNRc9HL\ng2mi5i1Z7GLn4OTixLyXz/8Ye2+l8M6JCRK0abNWkJHz58/Py82TNpFeunjr5+kTK3Ssm4IZPXoY\n/OmRl3YSjCg77Aw3UP0nSd1sh7GJAVy0dLDv3r09NNpMY657kBkeKvFF22mCOo9pxqFoj/iaKZP6\n9bKUSrBxCNzMAFfT4570fdoPsvNndqZm+NatAcMG9MV5PIhsWNhlC3PzufMWCqX0zAu8naD38NKg\nFz0xKxLAfiG8vUdoKh5FAjvs3Llvz7ad+/7Zd/XalR++nQz9EZo9NEPBBFnReJbmUkEQfGaChplC\n0zGvzrEuykTJbCLJpwF+0kWZ8BJ1Z7jDXmLfq1dnNDirV8QJXQJiulEwTL+2lwHzIlIzj0q3IbTt\nJZTwMGZSlZ5r1x45QWhnW8lR4wZrfdYGnSQ0Y9uaOVlNvOBTN3apLTw4lJxhAwYw5qFUKhJKeVjp\ncDJp6O3l7eDQTiaWHNp9TCJG3MEwry78QrTvGtOxj27gj7FESuZAtUnBXDBdAeYaenlNmjTB6dEf\n4CJHR5le4uhN5vB1gj/I8xLxH1ppmrmP+vilB0N0q2Lg4vtRI7TjdLVkgu6dExPwwoSJX9PjgNjo\nb0YKBNJ169bS9I8xaV0FyuR9FdB2HlDhHzd+amuHsLHjv6fvl56Oqtwrvdt6FZdUFBeIeTzLPBWJ\nqbMIdCCCtq7QhR3n4VZWfOhQJKWlyXgiYKG8vFxo4oTI6tbOBGGK1OdyuLYwaiRPfS4V1dO9jyC0\nl/SVi6OTy59OMY/uXbt+vVFjsZ4TnUpBWRYgNJHCS000l5py1kufChOt9K+l2gK8gmFBPV4rdV0Z\nCM1/pNZ1qVk9vTUZTJiZ15V6KaGdQatwLrRc8Iiyn+We0y2qcOJDk4aBAVKSESVu+OUfqfCiivsu\nLq7Lli1lYo8RlRS9EkuWLB34kmcqzqmSXNB3WUsW8r6PrhzkPdRYLperUpFwocYyUCutqGS6XvOY\n7qNKZ6WfQXnCx3p18ejfywNscpLUrzklFaCCN1XqJW5VV21dz/JFeiZmYFn6EY0p7+zssm/fjucZ\nCU6EE3TccnPz6tevD90B+leKNnOo5GfpVF6htagez9qyioIDFEZgfK4FsqtEovKsXUVQX7csvjod\n3vZ6P6LcRRW/EpX8+rqodClAya2yC0eqU95eI2Xo6Uvm2ysCQ+gGDqtCZQ6qX00+DryPwW+miOfm\n5u7bs8+Ua+r1+RBUFHCqigL3ZiVR0+7xS176H4HKillD57YtTx0PT3h0F5dISy0aQsYQ5uraZt++\nrQ9iUzq7KpQUlZOT07t3Lx0hAjsVqJ4/SJDjpkZNm36muVvZoiG0skFhbGRqaGQobVL3XYq9VKcO\nVMeT2oB30Pcp5aNePlYn2f9j1tSSTHmf6gLED+NHigUC6P/QtnrV/bh3VyGrC+1eBLxLu88vXbgR\nFr5XIJxgRUssMaYcKkE4hewjzCA6MhojfNPikgoLi3r08MJKdk5kxjy6GX7uVuv2LYQ8Id/YuIo1\nE8xa7l8mo3kuQb2m71iR4A08/+gK/XuLY+VNbEleV2gMVujPWzSNP1a8P2IaM2E41EycHgz+mERA\nSEzm4NalQ6+Tx4+1byczxb1w7cAO/TNhbW1raGhYpM6mUpVLliwzMjJ0cmqmeZRIL1BlXb8Rl09R\njk06Qdx12i+VQalUylxkgY6bCaJkkp4Fi08N74+YJEIJ9pZ6WO8H2lkeFOD/DXQ4ee7YzqBjP/3Q\nQWhT6kxgSxOca2bxT/CJCxe7Zmcrx44dq13UA524rNMXQqAb6NLF2dXVg6D3tVWdAmjGh9kAhbGs\nxOLTxfsjpo+IkkqB7o/ZiDoO+t+Xx04fXB+45Mfv51ihwW1TtOKFIHhCobhR4+i72QUF+XPmzPH1\n9aEX7CQXFGdAJ27PnpPQiRvmPaPMHHPVb/yYLEoWLN4BWD2mV4BAi5GeYwWWHv3R/ingpoAdS38a\nPx7DipAOAWEF1tGGrQFBgYFt23bp0r4VhrYTZ3KMM8BWAlYyMzMd1n+svVSq8e0jZeePFv9R84TF\nh0JtIqYyQzJkyXeSIP/D5AtOQCoZ42rj/t5D4GvQvq2TE/y8vDr37OpZoMrAjDF7aUM/v+9pt8UF\nxU+zqWdrV+1JSngG3ycMnCCUtlIUFPA1yk3Vjwwrx/vmYFaKIFkFHKc/0YxnNQtBLVup+JHi4yKm\nV44G6+ZZKaQuqXouf2FgVVdtzLGGnhd9n1/acbWKHkHSEnDIduKOGjHeWlTvxJm9WwOPwZ+spbRR\nI1F9Eb9+A5vrN+JUVH7y06cP7j6xtDJ37uDwRc8RaG+6Wv16w0X0Km96dwZFaAPMKI+Qr9nLK9m1\nT2Fm1maV6e29nlmhr2pCkmjbY4ZKf8E03Fy3djNcVLa+v/rQibRVi6Z1G/oYASmMVGanTBw+Y+36\nxUK+LS1vwNd3VimYRf3avQSv1GzSiUDo+8sEODIyUiYTa4S0WJ57HdRYYtJJ8lAlbR1J6KqEzg2N\nkklWEktKT71383b0gwR53N2HKlUehjZGmTaS1vfs00HWzAvHDLV7IEp5oiBzy/ykuYOUOjTLlZld\nCz07ezm37Xg/4mZ4xIUnMWlx98LzKXQ+CjxiXc8SN7To33fUwIEDRbiIOWKOKPWuKksnI8toUIAr\nMLlSyeMZE3yk2ZKpzDx1KtSueWtHR3uSEfEpYYcSpc0yQohMtUlISACrQSQSqVQqrPLqoS9CUlUI\nMYaPNKEFxxkZGcxgv66WwvXx0EOpqWnM3rHK3lV6v1G5d5R9hkKrVdFVWdUhjaYNhuvW49JrJilK\nkRcZ8SA8/PLqNWvGjpkikQhJUsE405SrinyjA0VdvXob/mE261W9FCAmJkYikZRToEQKLesDA/9Y\nsTRo124Xl9YVLUwqc69qSaw3wUfdja1xxKQt35RuUp7U6G9R2t0ZTDXQ7bFCG0fQNe0oXXnv7x1H\nrl6MAJvF2lJYV2plakY8SUg+d/LK7ev3vxvL7enRobRqGcVQYFjYOVOOtbu7M/Nr1NWYBw8eent7\nIbMFhUdBkjgt9IVIMuLSw87t+rR165dHqrIz5YocJILDKTbDTcxNuFYWFhhuXMTsMNDsdCN1Ol4k\nqZWIKiPwpnGMpJqodUE7AlauGzZsaL9+fWMf3I6Mit6xfb/jZ47Hzh6iXWN6n5Sue6IRq6LBKDem\npqYOHDjIpp5gz94gHOkoxMlksjKFFarWX3/9NXv2bH2FgPIyj4yHmkQjGPVeKiFB6ec3c8iQwX36\n9NH3ViCwjYt7AOHRUVUZ0aUKNv1BRmjZVne/mN4sBhfy9BSh2JakdypDSqI2A/rXtH9RUTGOLvao\nwJB5mUrKFEcrd8+fv85EtqioaMvmvUePnBszxnfyjMnaTEel6NSZ0KaNnRiFAKVSCaGFa0bP6Lux\nvrm55LGQw0IbAdpNBZki0jQAum3kGK2l5ePz1bffTqC3cGP6XAMx+PfI0dyc3Bu3LoLRhNT4KuZo\n8L4I4qIj1fJusFJUrilOdC2guZXE9ZNXl3TQID1+/NjV1fUj5aYaR0xQPhavWH339rXvfxgB5Qa+\nnj17thjL6dmz1/27dx88iueaaVS6Bw70fpqUlpz8sEcPd3rRDxUXf/dQKGIlly7Obm36NGjsghni\nQBNYce7VK7uCg8O279iYkfp81IiB9BZylKORkUnR0dFZOSmL/Fc6t27v6rod7h8M2f/jj7MoKvfC\n+ePffjfxp59+8fH5cjwa8EbaaXK5/MdxYzu5uq3a/KepcZGpsK6wfhNKpcbNDOLu368nNL56+ty8\n+f49enZ17+PeqnlLoQ0PI4oSklKENra0/DM3Ji7GwsKyQI4qA7TkEIzw8AjbBnyJzB5KpjxBGbR5\na3q6fP369QEBG9QvXxrUMeQUv4yNu+/3I9oI/UKRbmxkWlCYV5dvM+TLIc7OzsApiYmJUyZPLSyi\n+Fa8dm079O8/FG6mpUH6PIMCilQWJ00fNsxn9+4ggUAA96HSwtuTkpJmzpwFZgWEAbgpODgYLry9\nvHVdMyjWQElxcTGRsQ9NOWB7QorFDxo0CPVQCPzSpUshIcciI29LpXYymYR5RJ4ov3HjRmFhITzl\n4oJOUd6/f39AwKadO7fzeDxIPeDB69dvrl//F/NIpjLln0Ohtra2XAv0eD1r6eXLQfAVSbXgOLif\nP3/hxYvnfX19IabghoNZ/Pqrn5GRcasWLbJzc69dDwOrBKwbP7/lBw8eMjTCOHVM8sgsiiy0t29Z\n19rGza2rRNI4OPgYRFkkEjzPeVaUa2RhYfHT1F+bNbOfNXOOWCxeunRpVFTkrl2HIEFWr17/7Gm6\nWl08ZeJv03757taNuKioO4GBqHOqoNAeTx2DB58KhuRdu3a5KlclEFq2a9cO5SZBi6kqC5KePABa\nXOy/9vy5a5AjY8eOTUqSJyTE2tnZMWwI/nw93Dcq8p6jU0uPzwc42TV1dGxN0QALFxqMlJSUxo0b\nM46Z+/RgGUbroFKZqZlQ/oH43Dr1d3Kyh4SCnmNesdq5RUsw4ubOWYibGAIxvY9K+w5Q44gJcPXC\nhZu3bl25fMvQqI5aXURRhWq1GjIYLgwMMCMjo6KilxSVt+mvrdCsQaMkkdRv0uQzazGVlqKQp7wg\ncJMfv51NK8byMaRjkTvfb0V8/MOHD2MKCouyMrcmpcWLBWgNZNTth1BeFQqlmRlhbSW4fy9my5bD\n9vatFi5c1bRpY9lnTkf2HQw9cTEnJ8ff/zE879i6af36tr/9ujgz88XR44cfdn8AdUPSzEYkFHp4\n9AkI2L/sj6Ujvh4ZGnoiNfX5rq1Htm/Zb2hoiOOEqalhdk5uHcxQJmverEnzw0cOQ9QgAHDnc8/P\nb0dFPnwYz+WaO7ZvlJmKJSY+LqDUHV06WVlb2dqKPbu4cyzMs7OzVq1Ytn37LhubukKbBo8SIkhV\nfqG6cP/B/VDop/8y7fffF0LvqUVLWW429VfA5g0b/uzbuw+VX4Rhajc3t8DALVDx0tLk/fr1A04E\n31q3dq4vsj1z7lzxy3xgH/D59OkzmZkZL7GiZcuWN5c1kae+6OneBzMxOH7kMAQPIgJeQRZAsE+c\nODlgcK/mTZqtW7fejItO+fzf//qYmZk1adIkPT09MxPoWyUQCAcN8oZ3QReSokiooh06dKhTx7Cw\nkILPly/zhw0b5OTUOi0t5eHDx9k5OZw6GHCBgQFH92lpaWloYJSryoYcB2b5e/O2DQUBUBKMDIyk\nTcR8Pg+SEQIDPg8ZMqxTp853795xcHDo2tcDU9UBmti6dUtERPTEieMYRZHTZ0K/G/MDx5BjaFgH\nSFOthgcLkhLlt2/d+W7smH379sFNN7cOxepiR4e2wKS5ucWHDu75cshYHDeiCkhoFyHRAPBGCFWR\nGqUDBLtDuw6QTdt3bDIx4KZnzoKMFjdq/nn/rju2Hebiglmrl27eHBB26drpU+e2bduelZ1RVPgS\nXg2Z+OuvM8LDUSHv2s0NmP3K5Znq4iJbW6Gdnb0Flwttz9Ur1yFIEPdWLR2ePE2CZDQ2NjE140CD\n96X3yD37t+3b809+QSFWDAVsrZWVdRYNA4OXBMG1QYYetW7dWqyqfV81GjWOmKC/AP2O3bsP79+7\nR56OJrZ6uncU2TS4dOXsZ585Dx36FZ8wPxxyaMeOLY8fPeNwOF26dAWTJzY22Ixr1LRF/eSErIwX\nWcHBZ8zNzVHTJKmLUQXHj/+bmpphaMxp4dgAuninT5y9F7GlTh0TKOWdO7vOnLkAx02g9e7atdu8\neTOh4LZv6xa0dQsYVfLE1AuXTg74wtvK2gLqNlQYqFRQJbwHeUOdP3f+9J07UUYmhi/VWIOGayGo\nRQXFW7Zst+Lz16/9y/PzQZGR1/cE/R1+9Up6+gvMwOhlUcHdu9G3bqHxi5dqvEEjW6hUhw4dEdra\ndO/RlWtqdenShfwCEirh8G+/Hdl/BMZ0W7UDuu0d2l6PvtmlfWecBwFLSJQ/j4m5e+Sf/TduXvP2\nHsizrLdpc4CrsyutEUbNnT13/8E9anWdL4cMnTJ1inuP3jdv3oJCn/AoKd+4wKVj+xvXI65fvzZn\nzhyfgT5JafLQ0CMx9+N7eXimpKb8+edqqEtA/TEx0eADGC+jR3/fpUv3mzcvBgQEcM0soJe0+Pc4\nCJW1VV3/35bbOTfxGTYiVS6HFh4cgy3Zq39fU47ByJEjDQwMocHv3bsX9ElVKhIaAIFABER2+PDx\nP/9cdebMKeCv7t16NhLb5uWp1XkFzh0dVq5cJWnU/PrNS/n5hQ7tHDp37tSxW8/2spZ7dx9IkD+R\nChvx6wvbt+8sEhG7dhzMyskC2w0MqGPHgsHbNWs2uzh9xph7EBigPB8fX0Wqgi/iT5s2NSzsBsTC\nwaFVeFj46rVL7e1aPX32ODIyCpqTjh06wYvAkJz03XShREQhywh3aN7q4aMHhYUFSUlPY2Luubp2\nMsENwUq1EdqAz2DESSWSrdsCeTwRhhJd0aVXVzCgUlOv3I683rfPF4uXLOfx8IGfD4qKi/z1l+kR\nkdedndoHbt12/Pjx33+fNWnSjxYW3GVLV3p+7snofCUlxc1cOOvC+Uv5BZSJMS5r3rJ5cyk0Wteu\nX3d2dhg8eLira8e1a+YHbtp9aH9obm4OJB20BMOGjtq9d+vFixeAjyA7wDyEfLhxM9ze3gHMJdSb\n/jiZqWYREzMLA9w0erTvsAHDGNVknIcGNxSpU3CexoSe5/KbQCiaOfNHHp+3dtlfifKnU6d+ry7O\nE9rW7dHdZ9/O7T/+NAU4Aszgs2fPQBzz8orA8vryi6/m+i2++fDU2tXL2ro2d7bzbNRY3LdvX6GQ\nx3jL51lBlYOn/BcvYgbcVyxelCif6mTXDMxux2bOeVihpbmlc1tXCZRdg4K4iEeP4u+3/Mz58LG9\nq5ctg5YcSh74M3Lo8K8GDyIx0sXlMxeXVZSSysMyOZhVWpI8POLKpUtnnFu7eHTpCQULepNpSUkC\nsYzHQ4NdciXSbUKSKTp9Tr3xVJ4Q7yXszFwLJUL46969fffuHUeOHAUhnzBtuqu7C6WgGH2lufPn\nckxNcQ723XffSYQSaWNxdjbvyJHQm3ci61nwHWWy0POh4FG3bt3APS7CnWQzoJ/Cx/lgYQ72HpyV\npQwPvwI03biRZMfuXfYStA6rS/u2ds2devTsERsbD5wI/Ze27TpAHCGUx0JO3bhxCfpc/v6/9+mG\nzsKBlBw2dNjob36gR1jwUvJDBMZIJkFXFqou86tuyMnDwwPHeQsXLnjxPG3V6nVoUA+xBDl09GD9\nogLuBw72hBIC4V+zZmX//oPbtWuDNgNpB8qg69StWxcJ0n7CwbH+ofNCqWePnq7Qr1QqlTt3HLh6\n/ey6tcAvuiE2kgkS9Jvo7qdw9+7dkGsbNmymFQfpiFBkojwRy8dpVUl6uo/ku3fuFXU/WkUiq2rx\nkoXgIaMC5ugomz134b//7p703SQobFC20+SpGwPWjxv3A0RBmzKEk8jp6P7gVKWCGTuCYg8BuHr1\n+je+Piv8V8ocneAd0372j417BrbbxAnTvh7+NQ8JFpK2DRoWFhTN+HUeU1AhkF8MHdizpydGy9j/\nxyr5oVCziEkPJC6CAoVrZ24xaPSYZSlMRgKhrFixeNmyJdC+CYWiP7dNmO33p1vXdt/6zIi+Hvn0\n6RNwk6XMxujOOfQyoFme4TdDJOR3sbHbvgONi//y2xRUDzHdjC/x3dhh0sbNJ0+egkozPc6I6j+S\n60XvpCsGM/5I0gPzxo6OEnrihpwhngz9HWdnl5WLFmsKbmktOj7WBEPbTfhOjvZQLjFa3oQe11fw\neEg8TKOgRlNk1dpJZWBvb3/hwnlmeB68oFlJwQyrr1jtj2m05bDp02dnZaWKeHwvt+7MNP+AAQNK\nPKdF2uhn0cyjEMnCisCEXLt2ebuuHeyRHiN91hCOM4Tb3QUIsb0mnxQkvE0iEdrbj2A4BXxQKEio\nSKvWrNId/VYitEb/j6YRRHxcT5pJX4YNPhcunMWMhKMH+URlHRLmKRcX185uHb7+aoT++D1Ex9HR\nFXxglC1LjbWTGPMWoBV6TUPFyxrAvVSKtCjHjfNFynN8ZoCZHmPmE/Z8+9KOsUUrlqPJCIpSKime\niIfUAAmNP5BcNINrRqln/DhVI5FckgWatVc8jK9Vp0Lf4alb4TeQFrAS2X0SifTAgZOIQnFmJBy5\npD0/xMhVM6/450iQ/nTtx4iaRUy6hTZ68miYrorr6J8pUgcOHJHJhPQqAgX2FN336DFKSZHJqehw\nzW7duoPhzbgXiQQbt6/TqECqMIEtP+nh0zx0GBHSA9MV2UGDRsAfqV2YqVMZ0xQUXbUqEf7CdOED\ndqiMPXTqqwSmW43D1/MTw+iZweqIrlUIrUKYbsqMr7uprRhIlle33rTMmUhM9PVtFt3noUMHGTkh\nrZ96uaGbQdITk4PayPyKa87+LCEU/cUBzOv0ol8+LrofqpsgOzcFlT/jk/GsLCvpvYXmGZJR1sLI\ncvmn2bSIbvJFeqmql3Raf8iSOBEEU05JPqlzpouyxhNkRrUuF1pdkSD0X84nkEc4qTlRkBBpJwcZ\nj7RgtmFq117xP/Yd4DWLmKoJJpf5uL1msyuJJT9Lh38VOZk8noQpLp07dwoLuyyXK8FSMDXlQhZC\nV4VZr4ibmOVTFNjDVjwrrFxp0y0DYr7pXWgdlA1OFeqEJQFmXGpLkm4ZEtPC63pu+nKpb7lY6dkm\nlYRNMxutm5PG7CUSsiQ1yjxW5nFMP3ZVtNW6Oe8K/CoBWTrlq5Ea/KqWnlaqM6NlgYoXrmrEN0lt\ngIgyGVTyeNkyo3267NtLIqKzECtiYVIvWPQPzGGYlcaoJO9KFCw/ZlbCajAxVSNdS9S30MJruOBg\ncTx+pxHDv92xa327du2Cg4/FxkampKRYW9mQ9MABSWHGfEsqX2VpZW5hYVn5uZhk6YvKAkNU+Wtl\n7qt4kKz2q98F9NdH6ewj/fsVBrjCr2XWvlbxSNWBqa77d91tKZ0OGFbpV6ySjKs4ZSphTKK0Y7LK\nZe9kuc/agBpLTNWExooWWHawtNp57lK0rNnzMd9OnDB9DKWg0tLS9u07kJmR2b5DW82ppwRVoMpK\nS1GIpQ1McbySav8B25qybfL7fbU+yNKBqfrB8mHWN3le+aJXuvmwqDBlKvv6Sk+qSJnKniq746HK\n4NUSfOzEpFFxF4obC2z5Edei49yCZXZfo9wyQ2elXLh4ug5m+NXXw8CqUihIjnH86QshVF5hR4ee\n6LTSmpinrz288m5QTWOwjLNXmoSV+fARgajyazUff62n3uCRjx4fPTFhWjO+e5d2WwOPHTh4ftb0\ntpixJa4WN2pUPzIyjSC4bu3aoSETPDcm/mZwcJgtv4Wza1/6cIGPfISQBYtaitpATBg9iNij+zcp\nCdjJc8e27dnV37OrBc+0V6/ed6JifH19rRoVZhXHxz26uTPomEqVN3zkECFzhlIt6pOzYFGbUEuI\niRlEHOjzla0UA7vp0oUbbl3btWzTZuNfS5s0k8Y8unnuUjR09MAN3Hd1d9c99+GCzIIFi0pRS4gJ\ngaSs+A179JzKyZedOLv/6OGzGAZ/mAmOM7IkspbSrwf8KnOypwoKcOPX1EhiwYLFe8RHREwVL34p\nWQmClrpihLFxt3792ndrG3Hzyt0H4RnpmY0aiepQfFuhrYtrp/qiJmisiVC/5uzyK9fdVNPNO0Ql\n4jv/Zc1BNWSS3h9e2ekuCZvmeHTNUsOPpvnRF7T6iIL9jlBDiUmbSQo90aLK1siVXajGNzbmq+ta\ndfbq6eFFizTR0mtqY/jE9NbUvQ5q9OwSs8GwogV7/9HPGlU3qhsYJgUOHz4slUqdnJz0ZaTeHXRK\nm5WGSrdmsoKfMI1qHYGTClJJKfv3/2LRIv9qSyl94BbxHaGGEhMkryI1FcNxZp1+1cmdkJAK5CMV\nSjXL4Ei9lbyahSDGkMVmHLzq0vPuob84qJqfWJmv5fVeVSqVmZlZeHiYo6x1eUXGag7wl1Fxqzyh\nqg5wdSL+Zg6qC8bo8PP7rUVL2c5NQfq75946dNZN+eTST08aDPVgFazppYUDFWQuRm/AlifIk5Ke\nZmdnV/HaKtOqlkw011RiIqlxU6dZcLmrNq1i2hNdVSS1Oz91eb9mzdL792JPnDyutRdIensaRi/V\n19Rk+KAyNDvvdS8pv/VJZ3eUcUCSpXZyVNPqRu2kAotLihOLxTifLpFoN2ypHQz0/liMXv+JExp9\nS0YuVrsXlNHn1LEShUXFIeEUmcyeiQ6jwbBs+TKuqdWq1csJ7c4vuVwuRaezlNKKZK6Z7dAYrcEI\nNQX8IWgRXqR56Oyqv7G5dMSZzRnM7ggFLbaniQITwjKynJrYEZqIa2NRKiQkEyUm7rS39J41fhnT\nT6cPWSYienuDGZME3UlMTExPf1FYWCRXyuEmj1YwKJNNOoXPpKQEmdie2QpXcSZWJDqsSFWAaZOV\nlSWTyRjh84yMDKVcKbWX6mw0CAaO4WlZqcdDzk35cVRcXBJuqpY5tKLFmhkRTI0UZnJqyvCvxvTq\n1Xvy2Mng58uXRQ9TntJpRjI8plfYmBTUlhyCkfRE6UNRSEWaojgUJWf2Hn/U/cEaSkyJTxIuXDxd\nty5fnvRYKLZFmiC0CCmfMGSaHWhh+ITm4ElgpZjY+2fOnMnNLRYIzLSbtkltxlOr1q7Iy8EGeffC\n8bbww5Ytu7Oz08eOHYtc6YkAaPlOwUjfYiV0gFaNl2oC6Z/k6Y+pYo6QJ8SwPAw3hrApSCSTSiny\ncL4Vo1YeGBTo7+/v5+f3xcA+pkjhwxQK0OmwU6Yca2dnO/Apj6KseFZwR5FKeXnppguxvfuDFvuv\nOHxkP1xbWFia8izylNmx9xM3/LnuxvWI/PzCabNneLTpkqHK0CZC3NOnTxqJbf38psIrVqzYuGvn\nbje3rnXrCUxN0VrT3NxcuTy9c2dXn4E+85fOf/I0MZ8qio2Na9K4CS28i02cOOn27YiwsJtA9OB+\n2vQJseGJru7OJH1KFaXIhKAWFAAN5gttBBjaU43SBELeqnlLngUv6eljccPGwClr1y9+kaZu0rSh\nm5sbj2csf5LAhF8rs03J5cq5cxZev3Gla1ePRYvmIobUqCej7KArmEZEnIkavDI4ONjBSSpr1orm\nYUheU2RT06Ls8HtyKtLDteLhCgql5+bNO+BrdrZyyZJVz188adRQMum7SZduXDpz+kJuXmYL+1b9\n+vWFQgLVftRI39uRtwQC4Yy5s3u4dsIQi+Ga/CVROCMiLj14FA836gubeXt7bQ4McOvUBwLgM2xE\nkbpQrS5atGjRiBEjwGjdvGnnnwHLO7TvPGaMb4sWLdLS0gYOGAxuLC0t09KSi19SJ06czMxU9O8/\nGLIjL0+dV0SaFBjYdXAQWJqfOHH+7t17cXEPyDz16TOh+fkF/wTtd2vTFhjtUtjpTp06I8lQsQxS\n5cyZcDMzIjn54cnQy1Omjb1/965cngMIC7v86NGjfKqAUbCDR4YMGZySkuLr46t/TsRHhBpKTNeu\nXckvKHz2NLX//waZc+tZibC0JwVQVj9r1dLCUngvPkz+NKdj+64OTg6enp4KZSa0M8OGDTEywg0M\nDBcuXODl5TVu3IS+fXsXYzkb1gUkPELtz8YN6zp07NygQeNDh3arXxY9f569cOGs06eCtwbshsL6\n/bhRQBCZ1ItDQbta2LVzdXWGqhgeEXv91nmRUJgql3u07iRq1ez58xTwCtVAvhWELeNFTp/eXdy6\ndXZychg0ZbaZVdGkH6a2aOHw6NQF6+YNeRa2EbfCqAJy1iy/efNmGxhideqgBKfoKsrja3Sgvh07\nYuXyDUVFRcv/ELVr0xp8g9dtCwx69ixtQH/vgsIicGNsZJiTA8RAGtQx/OH7yVmqJ4tmzV1FEEVF\nL6GBNTIyAje9+3j89dffR48es6knuHMvwk7WQi5PgfpfSPsAKCjIP3Hi+Lp167OzswjCzMqKb27O\nhZoJaYUhaov53PPzaT+PA+LDkJZ2ZGLS42VLF9x9HHHjwqMnT+MhslDB1EWYoZEhOuBA2Egoqnv1\nynUT3BCCl5dXZGiEwU3gR2tr66zsDCA+8KewkMJxLo9PQD4ywUhMfAwRsakr3LdvB+QFBJ7xwdra\n1sTEMD+/CLx1ad/j6+GDgYTWrFnTunXr5X/4F+QXtmzl0K17h5Pnjhljddu2b8U1M4u8FfXlV0P2\n7Np3/MTZBvUFLzKyTIyR8vKMX2YlJyTt2Le9qKjAwIBz5J9gjgEH4ltYWHj+3OVt27Y7ODgUFhTF\nx8cvX7788qXL0ydNhgQxMjI0Nzdv2Mh21NhhPTt7+PnNPHMmVCCoX6+edUpKUEDApvj4uKlTsYRH\nCRJpQzBwoAjNnTcL7hcWFiQmJrRq1TI2Nmb8+O8gKZo2bQwcAekAgbG2Fqxdu0EkEvTs2ffwoX2Q\nizhubMY1NTHg7vtnn7q4yMzUtFPHHolPHqxd94ehoaGnZ7+0tJRBg7yBml1dO509ez4wMFAma96w\nQeOjx5FoJxLBxLB/jx2A4mRtJYDC37Bho97dPA1MjV88T8vITIdchr+RI0dWuhm0xqMmEtOGDYHL\nl62U1rfr2dPjdvT1O3fuJTzGIC8hpx89OsPBOIXqQgMDgz2Jew8cOrxxY0DGC+WUyT8LhKKGTaWB\n6wPWrNhoUMfszJlTOTnZ8mdgUHA9+w0EwwHKRFhYOIaFt2zZoqd7n02bAu7euf3o8aMsRfbtW3fA\noJg9e9qkbyedO3sBbCcbGwFJZmVm5kDzVaeOQXFx4SruFhNDAzBVgAgkEuHwkT5QUSG0/xw998+R\nM3ATw9SGhiZfnkNirFAbMcwAp1UDfv5pep8+fcLDI6Kjo549e3zjxi0rKwGPWxdMjGKsWK1WL/Hf\nAEHi83nw08FDJ8E3eMrEGDczs4BGu6lE1lDc6GnSEyOj3LpWwjFjxg783FOuVIZfivQe/LVzmxZg\nJ2JI/7+eQCDw8EAiivDX2qkNcwABElfEkNUBZgj0Plxc2mRmKpctWwzmjFAohK7cmIm+x44F16nD\nGTNmnLNTm0lTfgDnUD3u3YszMTGaOGEmfLUVNGjUsJk5V5mvUkNg8sgsodD20qUL9+7dx5Atpu7R\nrc+sOasXzJt86/aVf/8NFYsl0A89fvywKldlK7JNSU2JuH01PiZBmfsiT0UN+WLYD2N/aiTmrV61\n9sT5043EDZ8kPb0fe1eheAS+WVnxoJ5furjg6vWzrVq03bYtcNs2A2hybG2FwClnTl80MTGxscmC\nCygD4P7fI+cgGeHXzEyKU8cE7ixevLpXl85xcXFBB7c3atT4228ncLmG7dq52UukqcrUu/ev7tx2\nNPjoYZwwWrZ4w1fDB3l4eGXn5traioUCkVpFbtiyPuzStaZNm4DV88Pkn6eMQ5Z1UFDQrFmz1Ori\nFStWGBrgZ85e4NFdxLi4O5Br+fn5wDvHDoYg1VN5qveAQZGRUfv374fmDZ4NDT0P5vm6dWvd3d0T\nYqYAWfBw9B9SbpJDX5ri8YQiui8JVj8YRNBJh582bNhgYW4zYeIYyD+fUaMvhp29ExUzfIivV5++\nF29dBcMq4XGS/8zfhw4bru3uoU+m693WyTUl7dnQoSOZMY2PsUtXs4iJmZXYujXAytJm89ZdMpkU\nciUxKSGLyrLELbMo6lH8fSjlUHoaNm1yNOQQladOf5Hcq9fnM36cikY8KDJ7cObUaRMXL50Hjcm1\nKzdatXII2rOXh/Mh88YM/9Zvzq/XrocvXPiHRNLw3+CDkVFRUP7++GP9zZsX169ff+bs8RcvFO3a\ndkh/npaQkMThvORZWi1fPhto7unDR5t3bYZKZWNTVywWR0dHL5i3DNrSHZu2J6QmzJ49JzMzo3Vr\nZzDWVq5Yezw0GH6C/gtUMC7XdPJkaI0JmdgJG4ZRuVjI+YPOnznzBMKlS/0iI+516dr1Qfz92b8s\nlIilcUkxe3buoVSq5p+1aOnsYINbL16xcO6vC5HYq5LU6j2iPo9QiOQoUWkmdYPbqCN04MCRpKRn\n0J8Vi6UaZUiM5KOCicomHyMaiiTpmckMK2FIJhFfuMC/Xt2NeB2jaRN+vh5909LC4qdpP7ZpA/0a\nE4ElLy1LaWkJHRwJTyvNgno5tHcbtgSGhBxu4+yCmRgMcO8vllr4z1u0av1i+ogBQiol6LNDmO4Z\nvGkiozpFUSTO03g1ecb0yVOmE3SXMDEuIZ9mT7FYiOEU1H/IEbDdgOvB5Rf/81q8dBUk799/B3z9\n9agJYyYeP3c86vY1IBR5yvPe3XqO/H4ijtGjbVDteaj34uTiNHfuYldnZ3QwjLY7IyJEPF6fBrZ2\nl8MvfeUzEuneKUhIRkadkjmeS6lSBe3bCp1cSIpRPiOZgbyBAweCnfXwYTwYtu3bO0oY+UAMgwIA\nubZ1614yL5chCKlU5Na9A+ey2tnZGYWGwlxcXDZt2sWcCyCUCPWFmfRnDOEt7iVLfzHo/tNJh4by\nfMePBXuqt7vXnAXz4Cf3Xu6jRo+Ljr7Zq5eHVrmQ0POGWLdxeVqaytHRicQ+1pGmmkVMBKpDxIkT\nh6Dh5OP0yAOO2TtJSe1Rj46O9tqzg7CBgwfpVPyguEPZgx5Sy89aQNFJT38xZ85CS4GFq3Mbuvai\n5yWoRRRY1+W5uHwGfh0KOpiVTwkEQijHzR0agMUEARg61Fsmbp2UlnjwYJBdcyfnti0kQglzXuHQ\nUcPRCT881NZtDly9emUgEBwUepmj04ABAxISUqFEwns2BiyXJ84USnjMCC4TL3RBl1ocBduTmVTx\n91+JaikTcbraQ5WmSx59dhytA7kxYB3tmOSLmFFlzRIKWumRVoakSIJfMjIKPjg5SdCoqN4xJ/op\nvOSPBdnZ2TQrEfQoOymRSFauXMxM9PQSepwJOcWIdtKHbhJCkmYRzZxAiRYKo+s4etgw9HY6O+Am\nLuOtWrOKGaktGZIjtKPUfHrQnUeP3GlmSylCM36P2cuEmFZUCJ6FnjUQgZmZ2ZYtgbRSONL2nTnt\n55SUpGnTJkIejB7miw0bhmnZRFN8mOeZAUGSHD16mC4wzE1UvAgCohwcfASdB4cpGFW3krk7ily8\nYN6Xg78cOMyrRUt7oVDE3AbzCIplXFzSgwcPPTw8GFFTEuUL35HXeuXK1trURjdnz/YHYwiZq3Ta\nQYx79WqrnwulznrSziDrTTjoFPs0wgKd2zmFh19mFtBg9Ng5ZJEQ6SyTmvTVJTbdFIHN5SjD31h6\nsCagZhETAz6/Pv0vqU1ZUq+RoT/1x/PonNNo9+EEtLdt27Tp3qPrsAHD+CJN8WeOpZNnpxw+vL9P\n774Yrf0llEjp2omKsL3U3t/fXzcLK+PZ+/ktKNPSAO/orsf4zhjjO1kbHlL7KxNOQmqvEZPFyvKC\n3lQuXU+Yvl6JhJtuHznBpEPJD7pJ4lIClZqk0E8f2sPKF+7ot8nlgoeupfZSva86BTJMmx36z5GM\nfKVWpI2k5SzLe4vpQsjn46WmurXVr7x6XH1Rk5EjRwAxQYB1mqKQv7t37yoTYAwr1VUhSu5oZuvK\nFB4mePb29qV9KElPEllb9gvmL2nSrImmvGnCWd/FpT5zIJWGAMvqbWocl2IEzXXpDKqEMvQ91PrC\npBtfm4x8/WBj5b/Qj3ykA976qInEpAVR7qJqkIyw5Z5th3BcTxUS06wg4FnYjh7+7ZeDB+hqQal5\nNmYmFqtS+kY/QFrhx4oCrPGw3GIW3SOaOl+tk6817rWcVfG6pEqDUZGDytyUB1Hus9RP2pTUrLei\nb5EVvatMVuqSuEzUdN6iz99//728Ku5rglnZUGK8VeimTGgZRwM/99RXDa7okSoWiL0tXqgsr6su\no7VhyWVNJqbXA6Fd44FrG6kSkIwUMzFnwQz9tTmEvgtMew55dQYLyzogOBwOpqdZXhKkSh9mxOar\nU2j+e8Gq1hrLN/P3Vf2Fyn6qkOz0fC4tQE6SZTO1wgSvTnjL3SkFxlsEvJQpqv9TNd5Jcjhmrx+8\nauIVSVc+MB8jN9UeYkIo6R9UcB8rZUiX+017/zWbZ43rNymCFbyoTBnSto0kVlIvS9lYr14WXz0H\nb4iK/H0776pEiL0E1Uvw106Z0sdhEBX+VJ04viVKerPE/PhoqDxqFzF99CA0toL2qwJ7jjN5hCiI\n0jrCtfRUG4ogCxblwRJTTQMzNpXJfMlWRmVjWOpztLVCVA9N8PMsGmCYJUFY0GdAsWBRO8ES04dH\nyeCFCux/RVbx05hHN0NCr2VmvkhLUVB5aJMBvcYHs20oqGtj1dGhZ48e7jgfJ0ji412owoJFFWCJ\n6cNDNx5BYsnpyqgjIRcuXbgBX8XSBu07dHW2awnXRD08Iy353q3HicnRe45sPXU+tN//vujp0YEi\nTYnS23RZsKgFYImpBiHk3I7g4LCM51mt27fw7DPDks8TCszySJUpgaZ4MLt2zu1VpsZFZ0OOb929\n6eCh7RmpzwcMciNJ7ocOOAsWbxkfATG90hwomeKlUeGEyBvNLr8n0Iu5qavRx4GVVKq8Xt37fe0z\nGTMzwI1VGKbG1TimVjNHrOJqYzCPenh9Wb9Juz07Vh38d4953RzPjmipJz1zDx9Kemt+dYefaqVe\nIhMppVKJpALQmvqPNXYV6c+9Yu5fK0Gjp9v1Ua4WqNnEpL+lo4rKUx26qZmUpAOw0sY/D3EtTYYP\n/tHZ2RWtCEen3hmXXiuO/lcUGAA9OcokDWfOPHho3dbAYzkvzIeO8C27MIvGKzn9Q1ISGh4jS68n\nf1teU6tXB2zeHDhmjO/kyWNfawGI/qaQN+0gV5MJyi8uq5pxNPsKtA8zqj4Yre5Eb+4h6JX4BK5d\n7Ups2BAIF+NG+75m+GsEajQxQeL+9JOfqanBggULKnHyjlY8v0+Q6corBw6eT3ma9svgxa6uzhDr\nkqZSG16dVcg3Nma2wlkRdb/9ZtyLDOWx0wftnAhHhwEEMpT01jgxO7KqrF1Xr4YLBCJaT+4NA//6\nj2irFkFqVo1Xt/JX/S799Wj8qKg76enybdu2I+mP15wf0KUbVnrtRoXvqnbwqvXmcnfMygSpxAJC\nyjl5GFFEbwOi4uLvPn/+orNrN03oaDv4wIEdDRs0ZonprYHJBjMzM1WGKiTkHysraz8/tHdRV7yg\nlqpUKqTdR9BigNqsUiqppKQEFxdXPbk/pO+nIItuhoc1bdpcKm5Z7l0Kfb1EXdeG1MhgInFCeBfz\nK/Pe0sqKWhlGqmQHXzn1xVICkjoPSQUJ/QwSy7x5Ozop4ZlDG3tXZ1e0i1SjVFdqiZ++xafZL4Ua\nSYtvhvefMHFRSOg1x2YDNMqTipJtvfJEtM5At/1NE1qtA/j1669H9e8/eObMn9Eeer21m4wGpi5N\nKpTrpLfGUoweI32X6UGUZAqjt0foa+wx2ns0sVKpVEj4Gc8e7oxWJ5Nx+gVA9zqNyqXmluZFlCIT\nx02Zr8wi1Kirt1UqktnEn5OTXacOJz39xYYNG/ym+pHMtmG9il9GqlT/ZlTU7UfxqQMH9wgNPZ+S\nkjJ+vI9ur57GPNGTdKDBaApSDEfQOrnPcYobGBT4+HHywoU/6+R0Ge3QuLgYCLlAIKAKMoU2thov\nKKQ1CBd5yuz796NzsyHHczgc824u3S5ev/n77zMbNrJdvmCFVCJlwgJh8/P7TSQSNGvSvKObw4F9\nobGxccuWLWnv4vBPYGjErbDlG7cJBLbtOzh/nD25mkdMUG3CI8LhonHjxnfjE7Ozs6Aa790f1N9j\nIIXlHtm/z655a0eX1rTCUFHYmdCNf25vYd8K3N+PuRsVeS8nJ/fHHyf5+fk9evRIKBXStaAoLir+\nm9FTmjZtvGtXEA/nIYNXZ6ijysNIlDI6pqgC6BZcw+80IwBZYIsXrWjStKG3t7dOO/XMmTMXr97o\n697F0pKPtqrT6oqMZK0+YcF/UyZNcXBy8PX1JbT60Mxu+4Ske2lZ185dRHNw3/hMwTBGVTYZiUZi\nppVsxtVoqyL7CIL+3Fzc1ObcySvtWp/q2bkT/UJwUh9eFBMTM2TI0Hr1rI8dCwkNDf3778D09PTW\njk5z58+lt80S02ZNBbPi9u0rEGZUlzBDEmNkQjWj6ToyUqQqpvwyLfrO7TFjvvHx8YHoQyJcvHiz\nbfvGViIrSpGH8U1RA6DITHr6GB6JjIx+FC8XCoU5OTmQfc+Vjx7cS1UosmbOnOLs7BYYGGjn5Nik\nvu2vP/5ksXlrTzenJcvn7ti+f/AX3lOmIfEjnoUIiX0iFkDJSAFtPb8bGnLZ1tbW2xttQvb2HtFA\nar5o/nocy5Onp/AseBERsaNH+wLp794dBHUe3Lh06Nizp2fQ7i3NmjVzc3Nb7L/4dhRSsPIZ7llA\ncZYsWUXm5Y4Y6cNIJkGsUfQhA5XYTz/9kpaWpn45MyBg09OnT4RC8ybNpAmPXgBJZavk9YXNHJyk\nj+ITICLgp43QpkkztL7MWlSvnnkDmUwcEhK8cOGqbt26Xr4cnpiYkJKSZMHlMoqGWVnUkiULz5w5\nVVRUVKeOIcDWVihp1Dwq+iZFFZia4Z1c3S5dPq1U5DDpD27GjRsLBTsp6Sl49c14X3//3x0d7RWK\nvEWLFmdkoCDdvHlrz769L18WGxnh3435wRg3KCxE60u+jbiJISnLHh8jK2E1jZiQYLMyccKEiS/S\n0QpD9Ut0rolYLJk+bd6mZnt69Oj2d+BfUGJnz5keGRV94eyN9PS0l1jR+QsXXqrVXC7P3q4F1wL/\nK2BzzP34c+dPN2zYiM/nJSUlZWSmGRrgiUmPp06d1rdvb6gtbdq0FouRHUFR/2fvOgCaSLr/0ndp\nSUAgASGEYgALARURUUFFsXAKioWzop6VUzkL+tn1Q+y9nV1P7FhQsIMFbICCBRCkqEBAIaHuUv2/\n3U1CKCrXPtE/7+64ze7szOzMe795035TEDB/Jahst25kS3v16jUV1Rq3Pl7tbY3KSjB7J3uGmhqk\nmJubs3vPVmUVhah7UVu2BYEZg/WuW7vh4aMHOzZtUlJCDAzYK1euAEXZsWMnaI+LuzPNJJucmenv\nP+fZs/gbt6+Citt36kjUKL6Ke3L9alRRScnTpw8Li8Tt7c1s+PaotjHg2sGdBy+GH54ywW/oUI/G\ntu1JGZ8xshd26MCR0LALlUQFz9z4973bg5Zvz8/PrqisYmjr6usZZOdkpaenvXuXBTAdGnqlDC9s\n39YevnT8OF/XXj21tLSexj6fOHEi2I+TUzcwpEGDBi1duryyskJfX18NVR78kyekB9/7UZQnzPmY\nmPgSzGnJkiU2Np1dXR32Bx9bs2S5jk4rQAE1NeWP+TmtdDmpqWkEQbLHKCioKSmTLIsEThoJiqmg\n5Ol+VdOmzVVRUSkpKVVQVOSZmpaUFE+dMJrPb5Oc/NqktWn4tavnL55HUUxVVU1FRdnEmLtl6y5r\na94kP997d6Oqqsqhii9eOg/xPH78KDq66n362LKyEkgU8AgaMPCstbUZP/00WFlJRUNT/dKla9AI\nxT19uHDhQvgcKBMrK+vdu7dGR0Wlpr2CbwF3Y8qUaZ07dzY05KqrK127dt3c3EJVBc3ISIOowPLZ\n+q1BhSZPng0IQnOEVlYSVVWf4Ce8DjUOH2VkZHTkCHmQanU1SdeJYZATMQQODj5lYWFuJ+gYHn61\nbVubxzFPAgMD4amVFd/f39/YyJKmFYt4EJH3McvTa7izc+ejh09dvhIKATZu8C8rqXn9NuXerWt7\n9+7V1mbu2bMTIp85c6anl4dxayMVFQaLqbP21Hb4alGWUJibY2xhrm2gM2PS+MLCQggJOOUzaqxd\nx/Z8vvX/yHT/aWlewARizbMeN27srl27i4pAxRUG/zQkaO2GPbt3bd+xEWwD2hAFpGrenFUVVYQl\nz2b2rIBOnbskJr4oyv3o7ukhEFg/e/is98C+50JOqaurQ7v3OimltYmhW+9B4ydMiXnyaPPm9dev\n34BUAErYHJ1RP3sTJWhIyEVFZcX0NyfgPttQX0lR+fDh/aB8oIXQXCuBhVVXgWaDts2c5Xvi+Blo\nrg30NVU0FJ6/jOvl4j6438DnbxJPnjyybPnCygrFvI9CuDhqvo9vaRYWdmvOnCUFBfnKympikXjC\nBJLBVhm+AEFAv6GJY2hrW9gY4UT5iRNXLoXc6uLY5frN8KqKmlLRPicnNyYTbdDckTdEhOjEofPb\nt2+A9pzBYFjZkQ6CWFyYmvpRQ129lR67oED0/m22iqqqpWWb/Pz806dPA+L7zfxt6jTfGzdurF+/\nYd26NVAGAE9Lly4lyap3bz1w4AAEA8hQVlVMSkoEt+5uxIPK6ko1NTVjjqmahpJte5JRKPl10qVL\nZEGdOXIc6qKiohx6ENRHKb/N/KCtrTltqn8bSyvD1sZWppZigigvFMNTAy7JMycWi1asXR7z8Ilu\nW8bz5y8LxUUQ59P42KTEN8OHjFoWuEosFCe8fgHhQ86dhHYlJjY2IiICLO3J4zhd3VaAUxXl1TTf\neX93DwgWduVKu3YdfIaPZ2poKGlgwzyGMZnMLbs3JcQ/d+vXl6LHQnZt2rH/2B8Q2K1vHz7X1Hf6\nJFCATh07rli5BiC1Z0/HsLAr8FRNTUlbWzcj4+qnapWx430Xz50nFIvB4ztx4sTqVcsnT57i4urG\nZhvHxUQvWbpAUUkR3h0yePjoMcNQlJmcnEH528XZ79/FPYuF2CaNmVyOENCg3r17PzFp0saNv0OA\nqNjbrVu36dvXTVaXGhqKs0r9CPI4CHLyUCAQgC/p6ztdRrCDT58F/UHwegBfoOK1j2qHng1PfZfc\nsWu32b5TUCYLodi46MCKiopVW7fMmjUbysfJsUdldenYMdO/vG2p4ekb8gLN5P/g5KvPSfMCJnoE\nZNasWXhZ9aXQc2BU06b7QbWBRR07dqiktGjMmEmmZtrHjpzv1cN9yoypNI+Xo6MDItlmBvpRAaCj\noaE997eFNGaN8vREyI4B5ujYHu5AI5OYGAsu1dP4qM0byOZoqPeI/v0HvU5OMuQY9nLulVsoHDNm\nRCsdtgnXuJWeQVpqWvTDu7iouF+//rP9/D/mVh86tAcaTDBFCwvLTUFrmOZGg0urS4rywaOGbIwc\nPgK8Ei/P0WqqGuUVpeDEtWtvZ2ZmlJaWdf36ZXiR/tLKyipoG+fMmf04KTQ6Iratle7LpJRr18LB\neenZo+/RY/sAVTkcTr3yoTVp5cqVR44cgQyA5z9/wVx7G5vNx5Y/ffzqj+AVerpWYH5iQpyU9A7D\nVPlc/sIVAcHBh/T12SNHeTE5zLHe3tCvGT16LKA8KC54M/P8/MBoR40aCu4e4Kzn0AHh4dfAccgv\nyLMw5g8ePtzKypLqWJFcQLOnzQ0ODj53LgSclFWrgvq7uuZSTTSYdm7uewOD1tDRQKS2wCQvODKC\nGQ6btXnzVkIsAosa4N4X7oRdvSjMEJI0s0ySOgs1xXjW5Cf37eEcn5w8efLYoKAV4D116NBh+/aj\nbCZJQ3rzXkRRboHXoAFiAuni2M3VydWUz5M3vxUr/0N3zUUikoQP0po33w+RTJ/jgYEbBg2Ihlpm\nslkEgUPvHhwucIsszNssX7F60aK5CEVHB59rako61EZGxh6D+o+fMJ1NHVJgOmhAYXGhOqIyeNQY\n+iwGjFQ/a/oTccTBa9hQmnOSHtHq0cP50qWrAr41TuACxxkko57chmS6Uy9j3QIcXLVqVZ3hKxTx\n9Z0hC+/k1NvJ3gn8cHLNv2QItVYgNk9PT+gNlNUg4wZ7S6nsvjLAJHdeLCI7tYX+hX2B1uvfl+YF\nTAhCExLioF4Bc/yTMzPItoKq5L79BuJlJTR74aQZs+ihWbnxWmooFsFqaoqrqxETE/Ywj0FsUx50\nOuTjBgiD2Pr2dYYfQqHwbFioW0c3vi3ZHOHQlFHxgcrevX4HFFpKlYllZCReDr05zHsYVNXixUt6\n9HCF17kGenxbPjkAr5qPV6MB/gGvX6cDli1fGQT+3fHgI6Dc44aPnzLbj1QjssbxjasDRYQ8PTxJ\nsXY/LtSIY7xk39p376pKP6RRY7dE8IlDAD3QhNYvHGr09ObNW3Dh5+cHCE7dLmily0TVVVqbCUyZ\nbEiAw+JwmByE0ksDfX2AsEmTfGlqNJyk5WWDHQJAOzi0o60CCtmqTQfoPv862x+KCFxCaXKSbEp4\nDXDc1b3f5RuXoEsYuGKNNZ88yI8t627i1ji5R4ak5aMnsOmDm+gKwqWHO5GDaCLcuUcXgDaEouuj\nJubosXbJ2DmUua2tYNu2/QsW+NnbOy5YEMDjseihQI++rnRdM1Fi1ChPcl8OfZCgZLaCYmCi9jiz\naiccaC46cnaOx8bYgB2SMXTswIGDJCspm00NDKK7du1AUZZslJxSFTfQFgnRFGXDEyZAD5cKI5lD\noBOVzQzg0rKiEoUcAyohEnawevxtsgOyaLJQyYwbIb8KjZ6AkWPFwOj2V5KgXFTkE9ANb29v6TA/\n/tXVIGKxOCQkJE9cjKqUws+yYkRdS/IIehKeXgMbauD/TJodMCEychIWJmBJe8gYsmbzYoRQpgmY\nJfpXhwYMo3HE0NBMTRVlareCVrhhrWC1CgQNFG+m76/0/VpeIbrxwGgKSok+mZpaz/STtIpgyYMH\nu9VbqgK2xLPmhV24SOIPigUs/M/4ab/wmHo0NFB6SQ8Nieqs9sNJY1NVR4gq8nRDvpURSg2jQmjo\nNqakpDYsGfh2wDtwuxy7OkyZMoVaQygh0Ka21BEkFMgaQEpZew3oJ8x5O2LECPmyDVi4ODs7TeaR\nwT2nbt2SXiew2Xr1wEgSlfRdsNKzZy9yuWDJLJLVF5NndZX9I3urdiaMeoBJOg0otsh/ESFX1bJF\nA7WUsjjiKGh/7VokKq0NaQOOS2ZNabdEkn1p1WESmiv5b8Dqfoj8r3rrJGp5LGvvyH5JjyyU+hHy\nFDrSKxmFmzTRLy7ubITNEquDJfI6WXtT7jPqkXPW9ryaNuIN+pPwLKGquqiqSr2krODhg8egV6oq\n6gh5Kg8qmwj9JtIcgalRQRFNCZEr8vmWAMXAA9+95wC4M0zmVxzRr3LC1VfSRp5JruhFJghKkG09\n1cSxUU36tEuq9WtYw+T0n3ybV1FUpK5hIPswc3OL3Nzshsdby6bte7n2kWA0aaNVpUQ5eExIRd3v\nIW0U72nbyWFbW/pFcFLo7gOUkrU1Tx59ho0ZSfmY7AYfKCdUjgUCa0klfIW/FWvwF6mtOUwOQBpL\nj7RvlD4qU+KbNBbtF9JF5GHxc6n8Gflyuo1+bD35C5lpytqohvE0demmqanp3n176U6uUCj29hy6\nZHGgZLwc+7fIBZso3w0wNWWNHB1kMNkpa1qcTX385ZqWdvYxVP43tRZB/t16QEkegAFB2vDYcY8S\nCKIcqS7EpEd4MhitXrx4Th+xW0/i458WFuVLE4KeXZaiamHWu3caGura2gxq/ZHccbhyrHKY3EnW\nWH0LwnkcPQT+/bIl0N0IaUP+l3cO0y9+5dXajH+fxw81I/ls6cmxP2MoSiiqVqvRB28g8kvP/v0M\nNibfDTD9CflSUdZ3i/9+jJIA9SKu4ws0/jq5uhInjFrrQy/s1ZvrbJOJ5F3KizE3swgNPZubK4be\nFm3GsrXgWVmpCoiyggJGrf/GUVZVfEJMZmpepy4dqRV6dXIi7Wg0If9N+1K5gdK/vp3lT774992c\nZiJ/ITN/Lf9/4i3JrBy4p2LqtxohpZj+xkX3IwLT9yJk5aO2lv109UJuhCfYt81jcfXocVz7jjZK\nSsr5+dCbY6MscgkoISZiXj10dnIpLSWXGhgZGZPHsVHRZL3Pg7/2AieqM4g0M2tske9AQBPFiFhy\n3ZTzMf59aQGmbyfSXhGfZxf3IiruZSi9QQEnD5U2rKr8tHTp8s6ONsWiIp+fJz2OjTxyMDj8/GUG\ng6OmpsI1aE15UuL0zJLQ0Pv62q2NWluwVFW/9Se1yHcvePNAphZg+nYimYwyGjliZHL6U8AXG/O+\n1nwejqAGBkx1DfTFi+fPn8dDwKjox1VVSnl5Hw4GBysqoOY8Ppc87bagsDT/5OWDpaVlY8eM5Zm3\n+9bf0yI/gjQPXGoBpmYgbK7Z1GleGzf8cSB4y5ypy3SYKIdjtGLZmntRd/GykrinTzIzM2pqahQV\nFbdv36WmpjZhzGQELckTx8c8TYiOiLVzsLGw6I7S7tJ3umWzRZqNtHhMzUSaeALSv5OydO2LtXmn\ngX3wc5dOrt+wbsovU9gmqgNGeJDLiBE8OT55zoL5pXihBsYQF30cMWL4iFEeijU5NAOvrh5jiMcU\ntpHuN8h/i/xAIpsBbh649IMCU3p6OhMFx6PhXjOkLgZ9O1SSJUthk6qipZsHOccP2LTz0H/79R5h\n36krytLEcJbAURBy4SK1CwEniAJF1fzEN4827r5Cz8R5DCI7cWh19ZdWXf1/Ebo26X0VhGRV6/ci\nkq0o35BQlFBRUaW2Hn2LxBvIdwxMjTMEUetZR4wY2bGr0+6tmxu8JKL+1q4MxkWS1Y7SJXzfoC9E\nLycxYhmPGOvTRiAIObf3973bubdO6ei0sm3HM2qtLwv5+ElyXMzL/A+F4Cj9MsWvUycPVEOpZcyb\nEpn/ydq5k9yLP2PGjG+dpSYLjoiUKqB1Qb4ZKsnlpXkcbNEcganpRZOcnNxwO09ubu7HD/mxD6Ll\nNk+T96lLFiJZkU2y/1WUFqqyGPRfHNemyJIl6dZdbVwnb4gUSuTp3xpmWJ6wTbKLqr5IXlFUVJS+\nzrLrYGPXYVVY2InQ0PuvX8RFXH+AoWqSCIlyuGboaPHb8kYPnczv0I6K4lui0p8iov1qsIZ0fV9M\nnGxSJHvr5LvFOBIcfBLu+Pr6SLcW4fQew6bslYdgiHRvx+cJ/3DpfxQrXoOj3muJt+VaOVy6oKxh\nOZDLiKqRm/cePr53e5H/IpovrNHyQeqsiqT35ogknHzS/CB/49QcgiCaAyohzRCYGqk2OTUFvQFv\nMzo6OikpSUtLa+/efZcvX4I7W7duhZ/QSFJsbWXlFbiU9hBDaFpp2lUWSba/5Ynjc1KEWe/z4l+k\nt9JlGnFY5q278S3NEExHsumqLh2lLA9yu5NqM1lPVxA6NZSQqCIu2WFM1ruoDGWpSzasiiQ7lmtV\ngdzCwiIqNHq5TrRv65FTKM5JefP6TUqFQrGOOvsTKtJldjY36ggxM7RQMiq0jEpVR5IHKZjS3yrZ\nUShnNpKvQKT3JSvDGy9ted47oZBkfWuoshAA6sLGxka+ZBA5G6bri95uTT9pNFhOTg6Hw5Fj75MW\nGiLZOUQThJJ0XRkZ0j23CE1hKtncQ629SH6WHBUVVVZWChkTi+m75Fp5Pt9atoMH0iI37lK7naFh\n4xpwCYTIzcxlGBiw2cyA+QE0pR+9bY0mOKWzCvEYGHAgdQQjpMVI54OAokLI/UhUlqDxo6g7KW0g\n9QDwIjo6bv/+g9QmYTQ5PplAyhxt7Wia0IMHD96OuLlj+66Y+9Fnz56bOn28OqEjK14IDwHKSmu6\n9+jI51qjTLQeapOkmpRqSYtUcgGfSZPtfQ7mPiefA7WmgB216f2fcfqaHTAhlDaLhWKKDYMp+UgC\nyRHnBCxYHPf0yerVG//738WpqSnQ06moKC8jCsRi9V27dquqqnXsaGfLt6MjyS/IBW0ws2CrqqLq\nVBUlJ6Sx9IohquCQ63GPSHIvoqwS+kRv07PulZYRZVe4FvptLC3GDAhgcViURUlHBKW0uXTdQE/h\nxevUvi49ymqq7W3ask1boQS5j0+YIWSymWRwMcHikOqSmJ6IKtZs27L/4qUQVRVlVTUVVE21W7fe\ngwYNsrIxVUd1kLqNLYFk/bHzWElp6dgx45Ea9Wf3H4WFne/Z322q769C4cc7d55Y25iFXt56YPv5\n6uoqbW2GTVu+i2uXPr0G0/yZAFjHz12JuR+lz9HMzc0rFhXNXTCPrW+AIOoA1uIicaGoksvVQ1D1\ngpyCCyFXew3oxWZqwydu2rRHQ0Nj8GAyngxhxv4dx9gGnKLivBMnTq1fv5bH440a5bNjx3Yne6d6\nXiQA1pQp02wFbefNnQfGT5sBbU60YwplKMxLS019rYhoOznZ0606xUCEElJbAqzx8hrq0rdf4PJA\nFok+IghwMTQ4RygcMtjT1IRH0kuimnRIH5+fraysAwNXv0h9kvE6rXPHHsZcAx0mWiAmKoTEjBl+\nL1++UlT8hKppPn4c07evc0jYlfm/zmrXtsOerbvYpmwopV27dh3/44SGJrlVtaAg38iotYqKKnjZ\ngHFQpDnCtzxzHt2ExCdnvn6d6ubmBp+TmZnpM2psKz3dNWsCGTWVr3LyNDQQaDNSk1LJQtbmTfLz\n0VTX2bJ1Q3xy9JPYu4MGkYxRoHsVFUTQ6m2Xwy4TFfj9J88sjNljJo8tLCzs38/dfYA7h2MA/l1i\nYsJMv+miAnFurnDRgsB379PatOmwbFkAWMCOg/vWr1gNUa0JqhIIbA8cOAiQeib0zOnTZ+zsBG8z\nszt1sQSFibr7LC8vs7i4qt+A7ssWB61evf7MmeNgET/7jAtY6P8nbA+t34zJy9exiYUQIgq1/zY2\nNS9gotul9RvWP3zw2NTUzN9/cmkpQpMW9u/vfvVaOBiYn98kqNdPn2qEwmxMTTP4WBg0JuXlJFPi\n2jXbDu7ZnJtbWllZWV5eMWrUKGitlZVU1FByVC8rK1NHh9negVtYUNymnUnvLqMdHDuoI+pigsjN\nzRk/fkxmyof4mJSP+WLSh2K2tbfpPnGG74cP+Xp6uirKqKOjc80n4vGjmKfPYiHy4MOHlJVVGdra\nffsNHOg15PDv26Kj7+rp6Q3+yfvatYv6+lxA19TUNzTbHJ/fxsDAUJj9QVVNKTT0ytGjx1FUBcwA\n1EhLXd/e3p5n3orB0Dl1InTTpk0Q+fmz141NDO/fe6SsrPD48aPg/YeLi0vge/UNdKsqkQ4dOgwa\n5v3sYeydOzfuRjxYv3Y3aDm089DwQrkhFAtdFfz3qerGzWhdXZLNMu9Dbl5eLhQLzbgmEhcAsm/e\nvJWp2UpRtfrNm3QIHB///ODB/ZfDbhw+vP/Tp/LqagU1NaWpU2dAoWVlvV+6dPlIn4GKCDimWkZG\nRgCskNDt27eLivJvXL8VcfsOOBwOnbumvnldWVlB1yYkB9mGf8vLy9XU1AS2tuoYIysnnX5aUCDC\n8VJ9fQMVFZW8vI+n/zguzMgx4Bg8fx4HeAF3IMy+3SSCQEGZmJgwGK2SExOzs4Xv32Y/efIEvKLy\nCkDA7eRTY+7bd5nm5uaALxMmjAXcP33ydNjlsw4O7bLf5IAiqagqjxg30tqqnY6udlRUdBfHLgi1\ngT6/IC86Osraum1o6DXAoOnTx5eUlIJrk/gqBT6kqAgUrXD9+g2GHCMosX4/eUAOx4yeoKyiAEpF\nk+GqqCiPGTGzY+f2D6JIirjp02cmJZGZ3Lr5YHFZmZqyEk2nCciYnZN1O/xSkXO30pKyoUO9Xr1M\ngrKFagIVsm3fJTIiSllZmcs1DbtypQapSU1Ni3n4RFzyEeJftmxZt2698vOzoQoAwR06dY5++ODt\n27cPHjxisZgRkTchXTo/rY05IWeuRt979jFfWFIiNjAw6j/AtenWp6amjBKoDH2gfd20a9NHkq8R\nQRWRcePGCQSCRkcwZBfiHDEgLLRSNH373xmual7ABHLq1BlQdAUFxefP4ydPnl1dLdl3CtUAxtPL\nxf3u/dsKCkrt2rUHAwBVu3P3uiHHkMs1XrgwYN68BWs37una3VlBQdnMrHWH9nauji4PE2LAgPPz\n89kcPYaeqjD745vE3LepBZ5u03VQc9JPF2XFxaXSllBSwrxw/E5JCRRpiXFrC7BYBhPLTxSX4aUP\nHkZBrgCMTExag6mnpKSMGTOh8IPo8IlDJ0/+Aa00k6HzNvPDtm3bIXvJySS3ZK9errZtbLu4uDgK\n2iM00w6KPYtPnDDt57S0tOLi4kP7TykpKZKHx2GoAqIMYGJpye/coUvIlTOZme/c+/WfNt3vyIkj\nYLRVVRUaGtqFYrxTx4779h1lMllTx48VifC4uOh1azecvXDm5OlTmpoavqRMT0h4ERf72IDNuXfv\n1u3bEeCigNFCaZhwDaOi7oON6evrA2pAmZSWi5FyZJiX50dR3t27kdBruBN+A9ICHMEwlTVr1qxc\nuRpQydzcIiMjbdmSNcrKatWfqtRUVQBiaj6VlxTj5eXVUCyamlrQ2odePstk6CkqKQLiACJXVH7S\n1tJycuxhZmEGOXn+/CWKquow9PMKssCQuCZmFVV4TnYO2O28mXOvRd6EmgUr5RhyCsUlHdoJevTt\ndeXMJSg3/VZGRFn1o4dXwPbmTJ0d8SAiJjYWamHyZJIR9PjxQ3GxTyurK9+9e+vi4vrrr/N5PE5Y\n2K2TJ49APxjalXnz5mZnZ69bty4jI93UlOc9bDRNHYeQh8Q8Gz58sIV5G1NTkidXSUkZRdULRUVR\n0ff69Onfv/8gAwO9hQvmQ3KTJ0wLWrVi2Zr/QiaHDxk7fspEgiiHbuDjhJhJvmMy36UNGDgQEDDk\n/Cknx64jfSZePH06M/s94GyHDrajPD1RJnL9eswc/0lv32X8MmVSQEAAmfNj53bt2TJ//tIeDp2S\nMzNRVM2Awb59/7Zha2N4GvPkEclc2MeJw+RQ/VRrM0MzgNezIefhqYa6dk+X7gd37Y9PzijNzTZs\nY8Mk56FZQ0b0B0WFbxk+fLy390+y8x2aIuXlFIshhSRgANBgQzM8ddovZSU16pqKoBIIpcQiQkT3\ni5EGw16PH78oKSLAhOkDQf6O39TsgAmA2QAaX22jdOHb1ymvEGqr/fVrVwpEopEjx0BZRz+8C1ob\nfPgUPAoJC/7v6rVJSQt7u7q6u7iXLavZv3+viRkXHvmMmjBz8iQExUYQYwqIN1VI8oFjF+PuZnfr\nIXBY6DJ79pyFCxddu3YVOhxlSM3ve0/QXM5iETkyYcRjZKUj0IS69nTbtGVNYS6Rmfs+IGBWZWXV\nlF/8JkG0BNVhYaLwl/hUCS15l85dh/tMXxgwPjHpld/MuZ06d7GysiQPXKSJovDabZF8vmlw8LmI\niAjopoE31K1rL319RlFJCbSBDg6d5v+6FN7q7Tkw5n50wBx/6Drx+fyuHe3AtAwNDffu3Td4iDcV\nLU7tCMege7Vn767ouNjq0jJwZMD5Qlkoj+dGkkYhCJhEZm4mlCe9GZgalCEPwoJLaPyJcoJtwBQT\nCEQoFgtHjx67ccNm6K0AxEOY9DfpHh4e4eHXCvILTh4JhnhevknVVGa8f/8aenB5wrysnGw1VLl3\nLw9NTeXOnTufPBECfYrFc/2g/yYWizMyPmBYFYPBMWWzMRTLEZMHHZCmgyIiMdWXo8aeqMFmsqM9\nYqR3wuvUNm0soKsiFGew2aYA4lN9p9AslASBJycnU6XHF+blgX8E3U+auRT84szMZOi2X7xwZs6c\n2Ww2EzqD0BWF783JyYVvga+ADN+/HzVqxPgBfXpBP11mMxCb10Dvnn27QYVCJmgqS4TkAzEjC59i\nzwJNS8pIEVhZQvGNHOUDcA+IxWZz6Grtwew0fYafuYWxW3cPJps1dZo/kxoBcNzkQHJ1UoM8EItI\nLIJONOD4k8dx4FCQAwUI6jVsKOSH1iJbWwFZpwTiNWwAqSUQg2N7KY0cvd0fZ5vyjhw5uX//Pvi6\nYd7DmCjNqGeNIdb0qQ0QAeAIaKCFhdmaNcvpMyOaTo8LHhOBErJ1TBC9jq6Oi6MLgpahqGTYi+qs\noxBtZGQktKzQPIPKOTo6Ugomiom5Cxk4ffpsYmIiTUz4l6V5ARMUroASCVOSdMh0a5DR/dh7y5Yt\nh66+mpqKfadOJB82C3uXngf+PIOpOXsGaUtQzUHrVgQFrYBrC8vWEnZRBNdB0fgUYeKLlJ49PAFW\nwCKgFV2+YklcXJyTk31S3Gso30VzFlvb271OTkI1Su8+um5uaaKr3mHQoCFsNg9UXeBo3YZLkkOb\nctnkOIt0mxv8b8+erRTXCFzjJ0+FIyUIqonI5vdwvA6RIE2TBu3zhAkAGp4xz585d3ZkUQYgI4eC\nIB7dXT36utJ9fBYLGzt2LB0V2JhsEJeODzLDY/HIkWmkDqcBHQaMEPRebsBeRnKGsE05NLpRDJIk\nr+vly5do5jkUrWXZpMZryRchHskEKO5G5oscd6szMxCw0p+mkIR/eJRQjyVTUaQdS2eoWFL/H8dr\nuc141jzZMVMsjjVdVhyOhLEPCsHRVkBS06HYyHGjjXhcQAopOpP4AjJhgif9gYqKGj5jBpSUFPXo\n6ejk5ARmD0Zy5thpkngGR+Qn0UATtmzaIN1Nj12+fF326TQoQDiAG0d2e+rTEGtTnukEusBE0tpB\nSTLf2mlfmomS/DoWhyWrdCg9Lsr1HEye70AOxkmSwVEORZ1JnWolrUHZDEWdrhB9YW3N27gxEK89\njAqXo40jF22DUkHJq1EnaCA05DdVUNJjImrnEQlyiCN7uv/M4uIiI45hwKLl5Lg/Vd0A9GvWBHl5\neQIq7dn9e1lN9c9Dh2VkCKEH6u/vD2YVEfEAyvyH6srRIo9KcB0QMB/B5sN1bqbQnMenyW2heoYM\n8xSXiEeNH0PjBWgPdPGgtzLkJw9Aeg0NkiqE1rCs93lEWaWrnSU5vCrCoYWHGF4lPQHFFYpF0JsY\nN34yh81S9OwHr3xCRZfP3/aYYCVh5qXgzZRPmk2j6xhJSk1qpoZk/ZNoIyrJe+NsihJQ69PdVfZL\nVoNY/Tuy+T56Vlh2BGN9ra2TI+kChdpo64aRESfiteSRWCOtK0YtBZZ/HZPPodwjGQbL0vmSVspy\nWG+iXT7DdS8wyZWjo8DRkS83N1WbHiJFZB2mYcBCfxkxHiKbZq0tUkxWgLL3WayGRSS5lLVE0nso\nIverYSHLf7qseLds2yLPYCPNSf1iwGrvyBdR7WJgee4Z+cKjXSv5BTRNxwVVtEwSiwxNqMmJSZN8\nAX1mz5p76tQRkoxfOiKur68PP+mQV8OuAjBdvHgRPDWAwoED+y9bumqwZ08jjnkTU28ozRSYSMFq\nCauk60YQvq112IWLElZVDIFW1HbzVrr2RCIcFGvXph2ZuUIul+wIlNaUyqol/kW6rh6D086SnJOn\n+hFqqhp5wlIo/XcJaXp6uii7CkdEWA2kiDp05t+78yT+TVSvHA+USTkackdBfian9aHhs6Gl5oc1\nQhLYUI3qh8Hq3P/CyvWmMhBKUYW0vnr/IHW4chvGidWLqGlGgNe9qGOUX45CYqBf5JmTx0rqVFT5\nfMnn/8+VT2MZ+StCL8KQawAawEudO1/Sos/k6q/kDWq/glCXxCL9YCabuWnTLj7fFGykd5+eFy+d\np+db6QC6OvqUm49zOCTZTnp6TkjIeRZTZ/QYH/gJfe3Im89+HvNDAhMldF+sTsMmrylYbW3Q5QX+\ns8yFlqyHoZA/712xCc9Ih6lDH2EBHTQo0Nu3I/2n+0Mn0bi1GUndKyHDxzh6bA0NdXiFGiCo6ww3\ntd7rOEoNP6rJcTXEO6yx68+FaapISrjuP1/MTFMN+4uR/KX3v7qaRm592T+b9N+Uug5mU7LTiFP5\nr4i0jSwvL5fdg/7a+ZCQgDn+CErExydpqkuWy0GWINS792niHLLjHxl5V1Nb9969G+bmFkuXLqYj\nSUhIuHv3utewAT9aV05e/t6eQqwu5TYLo0cTMYTfXnDtUmhyZmJmZqazczdMOkKA55CVpMlQqypF\n/vbWoX9cpbDPXP+riX7DVP6KNJO1y1+RP9fC/btCmZi43i1Ttun79y+GjPDS0dUpLi5avXqVdMAK\nApP45e8/V1UFFQqz165cc+TUkQUL5snGlfh8/oPYp0KhmMf7cYHp7wv06+kLQqkCIfe7kqNOzp2c\nz504fuVKeEFBPpRjbWhqB2hutshIz1LmQ32bfLdIi/yvRDbGJBFylgbZsHFXcnJicWluJxsXejZT\nNgjYpk2HWbOmZmdn29vYwyN63TwiaxUwZGnAfGr6+C/Kjw1MtINKTsZwTPTT01KR0g8Iqk7PerAN\nmQoKysf/OEEd3GwlfQG6egU574RwbWTWlupEftNTbFqkRf4nooiQY0ySxUq1Xidma2tXu+NKunAB\nAn6qJkwpoUeaqHOPa3v3ZEDm33Jdf2xgorgvKByyFzjFPIq9ffvW0KEeCDXtrKtrqKSoLC4scO3V\nk9wAhciGkqvCrj4iyiqtLNtTP79d9lukRf6HoqZGoYHcoJZsbBeTjUFS11wue7b/bNmMrfwUrUz+\nZj/jxwamWunhZHXtlv6NyKvmljy+ZTvAJgaDiaKq1TXo4J88JbvJqVU48Qm3El+k2DnYtGvfTm7i\ntkVa5AcXeuV3PQZLenFD3SUO5OozycQiJglD35cP8zflxwYmqotLwY2qhrFrj84nT14Pv3eOZ86o\nUeQwmUyuiVlxYUnnDt2lGxYLklPSDu+7qaGh7u4+ls3RrI3k6/IXZqlaAO+7kKas6vhHYv7G+kB7\nTPUYLGmsaYg48osn/0E8ksmPAkyfmZeX/R/+GeA6KytHdCM8Oj+vYNhQF2Njt5Crx8V5eTqtinFM\nMS/nZczTBECumjLG1GkT7TrYyy1FaIq0oExT5csHIP/TiX22ZqTnGH+VSvbfy2sz0hmaSKO8vKmc\n3//2jNCPAExSmqGvlBQ8njxxOs+k45VLF5Yu2t2m3RUdnVatdJmlRDleikP3jSir5Fro+/j4W1t1\nRnDV/9kiEpnUI3X6U69+cc2L/NO/E+YfEBynSURr/VDZ6tl/XNclI7aNfY2kqHF6VbvMc8GaQVnV\nRts0ffgHMoNLl/sBNDULxu9mCEzy268QaZU0JFggr0U4OeEmqk/qRl9Dv7e0tIYkEaN3zFEREhUc\n555DjFpbnA8+n52V+jT1lVhcCPeZTIauHqN3r+Eeg111UGOiFMdYUkdbVHu4t4yUsiHzA73uXHaT\nznnt9jcc19DQoJ+C30vxaUlyhcmx0EGYNy/fpGWn0cxHtcRvdT+f3pkp1+BTSUh0iyCZwxrjVKT2\n74nIpyTnoew0c0m0lFaTYTDpamMcrxtAjpSK/hZ5B54eZah3p56HT2e4QFygLl0dRojKLoZeeJMi\ndHFxgU/+qkU0fe9VemL6weCDU6ePp5bU1qcixantsvHJTw04DDbXjBAVsFg60hQIDCOVhiYVpEqs\ndpuOtMypsqK+AKHXAMsdyy7LZCMlQPGoSaV2dzciKW6CIMrKkBojVisqkyQvVWhoaPfu3cmNh42V\ng3RjNpVhsvqoeJFaVWmYh0aFfkVF+a/P7v/j0ryAieZjCr91d/xoD/L0R2prGCIzD6peaYsRCoVh\nYWHduvXi803h/qETJ1x7C6z59tIGmRRhXnZcTGyvXr0RRF16j7Qoa2t7RR+GGqouzHiX+e6JLkdP\n18CIy7VRxyjsUJXsMqWnRunD3CVmiiL1UEl6ISLJJHF1+i1qtTpAVQHKUqeDgMJRCiTxDqLJzcNW\nOKIj2fUqpWcExZy7xP/d2+w7dyLJhFgS3JEqIa39OLlDX243HE63dXgZhpHJicRihFoJh8lIb6mi\nuHw51MvLGwyVUkLQeYrjgqJtA7kdFmpuySPKlBgs1JpvTRIhSshhcUJEQHxiCCeFqoa6Tt/B6fkD\nMl8EnQaZVelbkFJycsaoUUPNzc337fudw+FAOSxdvK60FD979lxY2BUei1cv2roW2CSXin7lcMip\nvXt3wc9FqxYV5LxRJ3Ro2j/JLmUEFRPi335bAAEClvu1a9MWRdUz3qZTpHpIxtvc3/cc6zWgax9n\nNwo7RCRTHVgKWRNUtZK7mtVpYl+qZul+EPkDcERJQcPckiPbqSvNvygjQ/g+O8nZyYUOz2IRIpyM\nFpeu+A29cWOe38Jxvj6z/fxp7fWbEfD48aPuPbrt33cQYqN2hEgUmyDKUVUWk6kqzMtd/J9V06fN\nBI3KSM7dsHZ9a3Pbqb7jmOReKnJTTtP90MqqZrQypnkBExRibOzT3Vs3vXj6aPTPY61suGx9HsqS\ntEhgG6/i4szMzKABWbt2y+nTxywsjh45chjwIihoxfHjJv7+k+3tu7N5bFCSM2dCd+zYkJGR1b1H\njyVL/e/di0pLzbW1s8jMTXGy7znll9l9B3Sb5b/k11/3QuRWVnwLvuG8xYvJxhzRFIkIYR6pprdv\n37p//+nSpUtBJ/z959rath83bly9PCcmJiYlJfHMWz17lpAjFOJIXtzd7NY8rQVz/3Ny357zZy96\nDhvMYbOfxSeYm5GG9yYt/dKFq0uXzR/h7fMwPjk390OPHp3iHz4F20hPT3/1Mjk//+P16/ffv39N\nc1d3drSZ9euvANNgHtG3bkFavfp01dZmwCN1pjb8LRMXHT12WKFGw9LS8NmzlNu3I9XUlA8cCGZT\nZk7uBc9Lm/vb4gh4EPFo/JRRGa/TDNmGO3ce+vAhP3DTYudO3eAzf5k6m6GthZD0CWYHDu1gcw3D\nzp2Bbx83wYtv2e7gweC1a9e5uvTZs3cD3oCrF5GbThYhHzKfZW3ftjYp+X1lZQWLqdOnz4CZfqMR\nEufQZwm3c3OFBQViKMzApauF2WJVVbUFC+YnPEsID4+YMIHdUCVooAFE27xpw7TpE21t7b6gPIgU\njos+5lZ/+nTw4MFXiS/S3mTa2/E3bNwQdvvBwjm/wVds2brh1atXRUWFenq6U8b7aWtp6uoaZmSk\nGRm1Lir6WFxMVFYSV69ec+p6XoulHX3vQVFRqaqaSitdDkuHmZKSWFKCW5rbrN2wCHB8/Pgx/fv/\nNH/+fACOgPkB5y+eVVEBZ1jDbeDATUFL5Xusi5csevjg8Zo1a+5Ehj9/kTZmnGdJaWnE3auuPdyH\nDPaECt279Vhe3scjB4MhcMzjFw8eRCsgyv3dPYTC7L1791pbd1TXLGltZrVy0eqoqPsEUQIJqaGk\n/X78IILGDCI8duR8RkY6ikYfP3RQR4dlbGJoyrWeO9cP2oCmWB/tMf1NHqV/SpoXMIGAE6SpsRms\nCP7V1281w29y9+7dGAydwsIXh4/8cebk5eHDhwcGzn39OqGmRuHNm/SVK1cPHz6svLwyMfHlxIlz\nujg4nDwSfOL8+dWrlpeWFTEYjMiIqKexz0vLykDbqg5Ukdt3/dkANHduPuvf533+R7GyisKDx0+e\nPlXq7tTN0akb2PnD6KgVKwMn/zL+WWx8xJ1oZ2e7sCvh166FXb8ZHnH7jk1bq6VL59K5BRybNOmX\nlJRXn6pVapCaauqgi0+fqhXuK50/HVlTVVNZXRn0X5I6jrypoCR5qqC0euXWB/cS7ty7WVRcYm/n\nEBsXXVH5SU2ZnAf8VK0Ydvns69fpSUnJiogi/MWLkL7u3eCrnj6NE4uKd+xgKysrV1VVcTgG3bo5\nv0hIuX8/UlFZEZKDvxqaKoVFxX5+vxjoayoraX8U5QHYZWdnq6mpQeahNORLe8rYue3bt32T9qaq\noib/YyFkrLQk+eyp24P6Dlq8OAjeCg+/NH785JCQ88oqyKPHkTNnTB/kMbympjhbmE3HAJju4Ghe\nkKPx6lVCVlb2h+Lq4P2H09MzITklRWWooKfPYg8e2m1izG3X3u7hw3tOTt0mT/71t99mbN22s1y1\n2tzM3MfHR0MLWbRwYfzTRxMmjoOWKfLRuYF9hkLkacKEt+lZHds5nwy+kpKS/PjJg2HDhgoElq/f\npNBAbNOuXSE4dOrVgBFJr5/CK0ZGhoqI9quXSVZt2rZvbx8WdqGq8lN4+Eefn5OuXwwHfYiIvLli\n0X+JT5VOjl23rNsScjksaN2Kly9fqSipQG7NzXlL/kPyWMDNy1fuaGlpGhgYcE2M1DHG85dxcXEJ\nUOYctsnz5y+PHQnX1NCALvzFC6FqStriEvGNm7c8Bw+b7R+QnZ02x3+Gnd2lbk4Ok3/x4/O5mckf\nQAlLSkpBXSsqyouKShYvCkLIrbCtXsQe2bLxAJQV6OHw4eOvX7uyNnAXOO+Q+VFDfMZPHxMwd9nG\n9VvKK8sUFVXgPgSztrJhsw2LCktT014VFhZimGZqasqS/6xv1Ur3xIkTJSU169atBLV5TfJbZc+d\nO+8L5iaDIdq/AwdQ3kVFvt3+nmYHTFwu+yev3gBAcJ2XJ1q2ZB0YIYrS3Q+8qqr84qUQHK/Jycmd\nOHFKXEzM9es37kTe69y54/Dh3rdu3rlx48aKlf99kvCouqYKfKuVazcGrVianpa5dOl/0tKyDhzY\nC/YMZlZdpVQoLgHzcHNzmzN9sQj/ELRm2Zw5SzQ0ND59KtfWbpWRnr0mcDPoNEDY5MmzIXULC6vi\n4uInMdEPHkY9fhzj4TEwIyPnw8e30NJaWtpA89tKh23fqVN1WQVDj5UQ/zzizg1jY6OA+ctAxcE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VkoqY4syrBxCV/tpsBtbzOzh3gO4nAMDAw4FKMmniHMCFq2QSjMtmlr1aNHj5UrV6WlpUHg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\nTWo2cvHMzMyYGFK+Fljm0qUr2dlZa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"text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# patch clamping and channels\n", "fig(\"patch-clamping\")" ] }, { "cell_type": "markdown", "id": "c2d5249e", "metadata": {}, "source": [ "# Channels and Ions" ] }, { "cell_type": "code", "execution_count": 7, "id": "8f32f8e2", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Y9NWGFwNCWrU2cZz1XoKh0ukJTcp9HYVxc/9gmKE4l1y4ERoWBtu8Z9+uNas/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TYJuiSrE5kEwYOD39Bpwww0Bk/aq6RfG56smiK6Y5l6TU4gEP0ThyKd/6LRyv+v0ZCFnyurvBNb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\ncD+dpP4Dy76f1vi+5c1M0+SCS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fW7FgG8fXjciLIoOu3aITTLyBMPT/b6J8+YBed+4rLP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4i2AbqwsNcLTL+l798/b3niN180TfnwPZT6hOvMtO2w6rGGSqHmq9yOh44VMRoAMl9j6aIH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\nyM8FnCyEmCRyrbnX8q40iIgg00kW8Yg4abPZ0FTPPXWqS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"text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# electrical signals from ion movements\n", "fig(\"potassium-channels\")" ] }, { "cell_type": "markdown", "id": "7a9c20fc", "metadata": {}, "source": [ "(Nernst Equation)\n", "\n", "The Nernst equation gives us the _equilibrium potential_, that is\n", "the voltage across the membrane at which ions of that species don't move.\n", "\n", "$$E_x = \\frac{RT}{zF} \\ln \\frac{[X]_O}{[X]_I}$$\n", "\n", "$$E_x = \\frac{58 mV}{z} \\log \\frac{[X]_O}{[X]_I}$$\n", "\n", "$$E_x = \\frac{58 mV}{1} \\log \\frac{20}{400} = -75 mV$$" ] }, { "cell_type": "code", "execution_count": 8, "id": "20c10e08", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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aYWRqDZFVaHT8mJKa8iY5LvZ5LPQ9TKrZWi17XC6XksuxaSbokMSnbJSWhP+3\nyRmxkkFxoDw8XI8dO3b69NlLly6+jE0BobBzx57uNMzNrC9cuAg+p09crFe/xpUrV3/rPoQkufHP\nUvz9nf9auo6iFJQ0P2zvnlWrNj+Ivm8otCAFBnPnzbC1LX/p4sUrF291697+7dt0O2unKSHTkhJT\n8vOpiRMmJ7xKfHA/1senwYgR4xPfJLx/l5efw5oxY5YkX/H48aOARk0GDx0uzVN169jPwdY9O0uq\nlKmmT525ft2WV69SDAzv1vcPgOn80qVb/fv1DQ8/tH377hlT53dq23fM2GDxu3fJb1Mg2YTYlLS0\n7O6du92/FxMV+aBtx2Y/2irsV1J9AsN83vyQuvW8ULX8Mc/ASGhlXrZFyyamFsL169b/8ccfffsO\ngclu//5DtbyqLVi4sHGTJgkJiU+fxnl7V69Tp1FY2MngoUNXr964du2aAf0HtQps88cf07Zs3jJ+\nyuS+ffra21UYOyZYkgeCh8rOxm33nj31fPzq1PaPuhYLHEnLFu3PnL64cMmaQWLpi8Tk6tV8li1b\n98eMGW0Dgy6evbl82Rq7cg7OqZnnL1wGlqhJ08BtW3fXquGTk5fp7OyckpICvWt6yNS4Fy9HDJtg\n72DTwKf53HnTIiNvvElKdXGruHXb9l7dOtep4fPoQezjx489PT3hSzMz0//5J9yjQtWjp0+bly0T\nGRnl6ur+95r1E8aNd3Nxv34jCjgqZyePX21RDXet96mpt27eNTIqM3teqKkpLyEh1dLcbPSo4X16\njly+ck7tOg29qtZh83gkbfrb08OrjGXZfn2G+TYMMBZZRUdHQyXfi45WUsSte/eePHlx/sIpgiKP\nHTndJKDxiZMnga6dOX+he/eu9DpqmZGjxlasUMHczGlB6EKKyt2zdy9JCi5evNS0WYCzo+vpc+d4\nPIM9+/Z6VPXyrddw49rtzVu08vaqbWZufvb0Jd/6ATDJQIDTJ8MTExLSU/MuXjjdtUMHgYD/8uXL\nc+fP6TYUPh+/On/E4GsAJmtgDI2M+J06tYI/nT+eXIKCOsEfoTlXqWjQoA4+KEvbzaFGjxlEoOP7\nEpIkZ82ahCMqFNnQU+EVfkv7KGD6xm6JJGfM6BF0ChIgtMuXz2OxuJBaq9ZNdIHh9+9VyzFHiXOX\nSCS9evYM6tGDxVJKKYVu8CjUkjZtWrVuHSiRKA0MSPgQmUwwb86fhfNSoPNKxA+m2+Vr3AjU3npE\n1QJ/OTkgaSnMTPj0UrbEy6vCwcM73mXkmwhNoLqgqkeNHB8ycSpFwZSocHPr269vH6CCSqUsOHjA\nb7/1kkrzy5QxUSpZ0OgXL1zKSBMbG/MEAjJPmnfiyEkulyPOEws45PkLZ2WyPIGA16FDS796aGWC\nFHCAHHI4wrysbIGA27ZtgI9PpJmZCUTJzc0mKLWhoeGhg3vT0tKsbG0paW63zt2gXSUUYWoqOBx+\nODY2FhKpXNmDy2XxDMgd2zfBzCuVUiKR4Nixf4BQcwXoxgt9j4icPHni/HnzpLmo22zZvEkgEmVn\niKEwYYfCJTm5BiL+97UQ8L2Ae8KM6VP4XBOKI1NKpSCn2dhaw0D4c+60ps384a2tnc2pc0ckEiSL\ne3l5HI848+LlM3//hvnZmekZWQKBACjoubOXc3Mz+XxWXWjCyJuSfCnJNqxdwy/yapRMhlbRW7YM\n8K0f+TD6mYGRukmLRkKuQWZmlr+ff5vbgdniPC7HCBpu+JAhk8dPQeGp/G5dgyzM7fLy8+o19ElJ\nSoHEuSyiV8+gAf2HSCgJIWedPHEqOxstHsyaOXPo4FHmZmalOKLFEEsGXwvQHTE3ikAWqFzBOmOx\n8SatI1smU/L5AgiH9Q9g0EQOG4ESIktACgrrI8WaP3XWoYFCAA3T7pNx6aUa9A5INjKkhe7KcyGe\nkkUp1Up67wllC+ExEYUE4UmhZ+VRosgnCZaQK1ArFBABAus0yMAMi2LRaod+wOHz9e7OI6NKUEUU\nBYRNIOJjzQwUBbUthZq0KVMGmhvXp0DERladSGxMC+lx4HLVdMsqDA25AgG2MIqaj8/h2NqaQwqQ\nkKHAhCRRDZsaoh0sDoctFBqAP0uptLA2w7ckaYNPlCmX3rQmKVtbYwopsFCIRDwIKZPJgPKJRPbQ\n3qTAFGUtIA3UfHS9UqgGoo6ta0G+piJTkqRgwjU1RYv2JCmFaChxNapA6IdlbdEFUoFIgFVEgVtk\na0pJuZYmJFGGI5X+iE3/tYHHnamFha+Njb4/zeNCXRGYNwWxGx5FxoiTgJat7VMF/pBRSVtjN5qF\nJbTWJYH9Ighnjfl6hcLByVqTGlKJSRF2Ag8PV/qVBN6amBgBdwVRWCwhhAHuVsthqwnUf5QtWjbE\nl5qgK+LE3ViuuIQQXatjBHIkPT01ap6+tAZ+uSZn8C1RsB6o1vfkay0ScbQOkYFBwXtNDDUW2ziF\n/LXJ6ot0nJLYfGTPR2P6Sa2xkMUpZpESqb5TF0ofm98qsBv1wRfpzEX9ePhKa4Mcbe1hYoyNVZGk\nhjDjqUdXOYWtQhVuu4KOQVtc4mstNBVYayK0bYftLWmjqAsSo3Xc6dLRs/GE7Hlp/tflqGnLAoVB\nkDh9RxbXFb9o/9T2UI7WDJum20K+IB79UguwOuDaLkJmkDe+iQEIDz9FktwTJy/61mtkb2+PhXWd\nUUmNITc1ToGvMeGlXYvSpIaaj68LRmoseeF8+TgRfkF4/PQha47osUAXQC9xPtaYUbrP/3+JJVa3\nQfzfQxSn8291wc9Xpc3gZ0HpBKZfbWPpG0C/Pr9N3f6LjfivpKNLhOldOujqwa9+syvnmuXnS/gC\nnk5tYenS1LBlH42uVc+kyMvL5fNFRctTUjlLgdIQS6VMRZAaxfASCVoIBlYLiPoXHSvQWNmmF0aA\nZ1MosjkcUVFbLV9WMFppJFDKnJycXGlO2TLWxarDZvANoNN/TfxL502k0lySJD9no0iJll4VQi6S\nVfHyHdMHfiJg+UCj71ehMQUM3alY3pfWQCvFK6X62tU/KyOklJ/EogbSnKddaS9aHn2RVGfKjV4T\nlhLKwlbEf2VALeFby4TGZkgp09GXEQntTvyHbzVWEShKev3G5YhjJ7gc4cLQBaXM7/PwxcRSp3zv\n9ZtXoQtmxzxNMDThGxkIZv4x09Wl8ucLc9pNCNTV4uPjg3p3HzpkcJ9eA/4flZv0RShu0usXvfv0\n4wuER8MP60R4Bt8S0EnCDu56Hp8wfPDI/1M3mE6Bp0Agooq7ElcUaF+Lkl6KOvHo0aOqnnXr16/3\n/xSAwWdCp4KV1jJfSu4EUkBb01LlO3F6ZsZbJ/sK4Pk+Iy1DLK7k5l1IkqM7BtrvpBQZqW8z7awc\noJd8vjlSLgvNFW/eJFSu4p6ZIbEsU5bDKaavwrdk52VQcrm5mbXWD2vElb598wZiMZOMDlgQ1Jq9\nIzGt+KLK0dEXBJKiDzQQRQ11kTDEKYlMplSrSQ5hmZCQymX/y8uTRfHFxBIVheQAm9+3Xy9KJvpr\n2TLwHDVq1P37sUAsPzQQWKBGUjfl6agp1l6Nw8hk6pTX4sz3EsSyUSTB0SnG1dgz012LKUSMdckS\nNBMK7GVcXFz3nh27dRrcuElD+DqmE38XQKPs2B1+M/L67wMGCZQivFoAvNFHJjJsuamozSY8+V64\neALcjRq21H+FzXXp23vSEy/I82duYcVXvr4NivJwGquzH2ZX1J4UA31ozGNRZEnLPzD6BAIDW1vr\nzxx3OEH9OoeIApJ7PuruxHGjSBH76sXr585eGz9pkKNDpSMRh7VzixJLdvSmJv/BgydTZ0xJSXl7\nLOK4nahcYRsmJVgBgykFShs8MjglJcPIkC3gmxw5FMESaMVHlkayoRkvYvCQoWJxFjDfWIiEXB8+\nvj9j1vTk10n/HDxWzs7ol5pndFXKUirVRbgi/UGkv0GI/T98q3HrORDwUTsY9ZMnT7CyMpk4dg40\ndUGmwE5R1OatOyIiwjp2bDOg34iGAbX3hllnZqXgWF/PeHtplmG5XNaDB8/Onbm8esMqb29P8Jk7\nd6a5uZlCIcnKzhSLM+xsHeKTnvFIvrOTh0wmEwqFCkX29ahrlpZW7hWqas+XUUmvE/MkUsdyDu7u\nDteun2cBq4ZUPJACkrj/6L6pqZG9XQWlTMUVkimpca+Tkx3tXUyMLbWHIVGXpQjpk0f3gei6Obsp\nFAZCoeDK9Qu3ox5u3FCvWhXPr8plMPg4Nq5al5bxVoSOPkpZLAF9ZhK8KTZbiLfidcIHDAPg8RVq\nGcmiu6OWzcLED5CUlNSmfZdxYyY2a9pWIpFAd8JcFIqFls40vBRwluAPngSLgDCDBg0MXbxQKESL\nsUAaaSMYJJ5tsQJ0iMVSsyAwPCLTXYjfYmHFNPomC5idbwylUoateZOEQiqjtDUGYAmFaJXyypWr\nPX/rsWXjHjs7ZIOQNgmiwCRNKlUZGJA036NLj6J5ZVTJICLQK22k9mCkslFAPdfK7vduIb2DzZr7\nWS91yM5CVxGg2ZG4wuJSEgnME9BYCgnl7e1dxbPag+jHfEORfjnVGtPNFJurOf2ov5b7+s2rdh1a\nBg+Z1K5d+x49uqWlZpLo6GsOiVQ14RPa9AyDDlNTDraVHGwJ3dIfyEzVqng72XpfuXCDzxN8qxb4\nYUARSgKtRaMmIzR0Di+N0hbxNAvX7969W7h0lneVRt27d0ADEMIQLN3srQUKqTO7lpcnDl08x8m+\n8oD+/XJyVNev3POqVh2pY1KqCUpJ0ueooUlh8JazcT5+9Eyjhs1xKiBdKhWaZacfSLLEMDU1NTM3\n/yNkRtSN634NfFoFBlqXdblz586oMUPT32f61mt47PhxkD7/mDl91PBxL+Ie/Tlvfma6LPpB1B9/\nTAReQJzzLjR0wdnTF98kJ69aueLh43v/hB/u0rH71ClT0tLjZ81ZG/cs+cGTmyNHDBo2ZMLWHRv/\nORxuamT9/l3aju07RCI0/UE7vc94O3rMSHGmPCc/X2TA/nvNX8aG5SAkDInefQf269t99IjxDLH8\nxkDzHUXduHX+/MULaWlZc2bOv37j5p49W80sTExNTcL/OdKqVdtJ40NoM4dKnVK0TVtW7tkTZm1t\n2aJ5hyPHw8Gna8e+NvZl1639q5K7R+3qPsChvXn7EjpY9erVj508uP/AobxseY06XsMHj8zOzj1z\n/tiLuKd1feqBv5GhwehRo1xdKudn5xUYxqRy129ae+N6VM1aPn16DTQxMXoZ/2Tn7r3v0lPr1a/d\nIbDXjdvX7t6+7ujonJDw8tnzxBHBQ16+fBlx5EjLwBaBzTv+P+uK/w3AmMrOyzu4c2OmOLtLl/a2\nZStcunoiPTWjSbPmJiKTiKOHq3jUSE1LfPMqWUql5uZmpqS+SUxMdKtQ8V707QD/VsAqnTl/DtKp\nU6tWGXOkGRgo5ZPYO9HRdytUqFStsg9+fPIoxr2Sl6cn4r+NDIQqtUxKUUZcrkAgzM3ORvwTkfs+\nLT0nQ+3oaidVJD+JSbO1sLa0scEaCkk1G7ofSQpuRJ3Nz5NV965tKrLIk+UmJsXJpCwjE36m+F1V\nzzp4syb2aeLjh88dnE3t7MoYmxjkZWUC+SYFVGpacn4ur7y9BVDt+Ph0c3MLgYA9fdaQjAwx7gZA\nifHircgc0W+5nPpozf3XgFhM+joWCNlZuRl8gYGQy6XVH6JrISmpSQIDE1MjqD0iLS1tcejqzZv8\nsGJIlpArzX8jy2Zhm3cEfXmaIIQyWZ6MkuEo4qzcRYtWzZw1F9zm5vzjp4/K8nJpYVEETZMrSWap\nDAwNTYFYV6/jAQQIpwN8T3xC7LuMTFqplnUJBf8XUBpiCRKki4vLnD8XzpgZsn3zbviztg3duGlF\ns8ZtXVyq3ri2ZfK4ub16DOzcve2C0L96BQUNGTpMwDc5eiTC189vwviZ7dp26tO3L4dlfDj85KIF\ny0yNy/rUbDJrxtwuHVFLTJo64/GDZ7dv3eozoOfYcdN8agVMmfxHv379Z/0xdfuOvXT+FGZXQ2b8\ncfzYhdiYF+np7z093ZZWWDNn5hIHW3eCONGv16BmjQP+H0r58TVDBiUBiRQwu/Fstm06nJOXuTh0\nkZGB1f59J3gCcszIaRy1OTR044YtGjSoD2OAXoGXjRg5KCeL7NJx4Oq/lwUPrqSS88LCdo+fOq+c\nleHtq4969xgaFRkFwse9W7FRUdHvM9507RQ0a+bS8nZO3Xu2ysoUjwgeu3nD3itXznXtkkEQvO2b\nNz56HHPm5OlcqUyO9FQi7AvblxiXrZAajRk5gWQLB/Tv37N3v8Z+7Tu3H7hx04YubftdOB0ZEjKx\nSdNAOxvHHXs3Xrx4yb9+iyOHLx48ePzWzdrY7PD3rdii5ou/DfDyV1xc3NhJo2p7tYi6eW/Hzr3H\nI06fP/Ng9uzJqzesqujsuGnDzvnz3Y4cPw7hQ+ctzxpC7N6z7cL5U+4eVYEbvnq51t+rV7yMSz93\n4bSvf/Ww/YdhZG3asvb0ibtvU14JjQQnjkTs3rfh9PFoUxPzseMmr1m7rFWLTprsKSR6SqUSvggp\nzV+7eUfonNCuXbuPGTV20JB+d+8+Pn70NBDLPEkOyKMUpYKpafHypZfO3Lp641x937rhYQdPHDkz\nbso4K0trqVTqWbXavl0+kDsw63v2bUOzzcQp8XH08h1a1uDMWxi6bs32kJDpfg3rjR49NuN9yvkz\n1y5evDxh0hgLy7Injp6G2ti+Y/OeveEqhfr2natGRsZs3i8xReDFT+AVrly5um7DMpCVrMs6btm6\nvnK1KiuXLbMv53r73pVlfy0X8m2ev4weNKh39y4Drl6/xmbz9h7caG6latuqW9jBXadORsYnxLRu\n23zwkOBly/86FnG4ZaumTx8lRd+PGj9hYt/ffr984zKIrcci9rs5oaucO/bsqeDmOG/2XzKZeOHS\nxXt2RnB4xLy5M6F75GdLQNjEJ4iSX4k7d/gdHEnJqbY2dl+vEkopWUKnHDiwd4vmzeLjE0+dOrVo\n8ZxFi1AXt7Q0ExoatO/Q3MzMpEXzpgf273+TnJoQnwxfNHjYQIhYtbLP/ftPT54+t3jBMuDpQqaP\nFQkEyWnJPB4bnym7c/NBdo54+MiBUAWVKlURCARVvbznz52zc+fWoJ7dSbIzsmKBZHnZxYs3yjs6\nQY6mpgJnV/trl6OMjPjVvDxUKlXz1vXc3Vz/zwU05lx46QDV7u3t6V3L6/bNKwRtJdjewcbO3iFk\n2nAHJ7OoXpeys6RQt/jc8vUb1zdt3Hn58hVf3wYVK1Twru4xefJYIJbJLx+/S+LW9avduEkDi7KG\n02cRQ4YMDQ4e0K1nFxaH16dvV0tLy0V/1YQONn/OvGbNG0VFXZkzK8TN3ZXoqQjbeyApKZlH64zE\naifbte7Svr3i7OlT+w9sfRabkJubG337iVAgcKlgHNS/K1dINm/ecPp0dof2HSGLuPiHUqlyxYpF\nTs7248eNzhJnl7P7IXqCbsL6prlSaBlzw+a11y7fXrIglG+YNWHswdt3o2bNmnTv3q2QSVP9GjZb\ns2alnZ2NVxWfvYLDC+b/Vbde9eS3CceOHhk4YJS3VzWBwHTA7yPc3O16dO195PiJjIz8G5Enx4+f\ndvPqHetyZcMOnIiPjx8WPH7xomWBbZpv27VizeptMJMAbePw+AJaTQHBAqYHLaW2atxpxtQ/1ZTc\nxqZszeoNLl26YWKMFI1KJVIul0OSbJlMWrd60/GjJgYHj924cdWzFy/at28za96f2VmSP2cuLO9Q\nFm/NGApMqnv7bCE2jwie0bpNy7BDe7lstALfqEHHaZPngVTq6lhRIDBJTXkKlNXfv7mhsVWmGK3/\nw4w/bMiwY0eu+PvW+q3voHMXj5ME9+P199+A7iQw0MWHjxOU8tgF87ux+phMmz6ivK3NnLnzu3Xt\n1ahhs7//XhEydUa/3kM8PWrmiJFGEUe7quVs3Lbt3LR44fIrl89v3bZ3zMiRjRo2drCtdO3KNMfy\n1Xp0HXTlcuRfy5b37N5Tls2lCMrO2tPWupKhMRtYWAHfFGTWR4+SbS2r7dge1LR5Y0xoCESDVFya\ng8R6D3A5v+qmSWmIJUkK7t69G/3g+oB+I5xdygc0rnMwfDu+Rop1yRME4ugzxamVKlewMLcXZ+W4\nuJWfM22BQGQI9CwyEmnaffz4JoQBUge/smQxhQ6naVb/hYaC4CGTbCwtTMoY5+dnzZoe0rJJ2/Dw\nwwvmLa7s4dUzKIiFVj4E0L+l0iy0M0HwWIRGnS5Ws5SfLStS6i/9xn9fbdivBkrOw8p0FCo1l94C\n5LPRzIKNe2BzFm/fIr4+I+s1/MIERJFUVUD1GitX/mVd1r5X0ABtYiQ2MvA+Tczj8ihaQY+pqSkI\nLpBFPsyVfB6bh0aOeyVHoSHP2NhcLH5JaM0X7N63/sCBiKqePoZGIkjHwsLijz9mr1y99Pf+Iyt4\nuFaMOMlmoyIZIwMFaEeEw0V5GRuL8PhQqxVK1pddS/jvgF4qj09IkErzVizfJuALJoyf5uqMzNNP\nnTqubt2DBEsClBIeDQyRImwTUwGMGrmM4BkYtmrjX86ufE7+m/Aj/yxYFJuWmsnloDa6ce0mhyM0\ntSgjEpH9+nc9d/5cdq50/8GDD6Nftmvdy8urGoGMjcC4k0FDcwlSodQQJGNToYEBV6ZAu4+mZmYK\nJQxOuX5h+YacrPyXw0dviI2N5/EMKLmKFAggqQoVnbsFBdJb3Wp8tLB8ebRe5+HpiE1YQBiAvaMV\n9BAuF9gDrrU1Uu4jlcrNzIQWZgavJchA8cmTFw1EomreTiwuy8W1/PGT0l9nGRZzafaOZYwNDco6\nO7Vq3aRZ88Z79q2LeZpwJyrm5YukcWN8gOHw9fNZtFh1L/pOy8CGkyYTzVrUrVGjxvzQ0NS05CXL\nQ1PepJWxLJstzvOsglbjW7Vv3qqdr8/+OpFRUTCQ6/hUB1moWQu/evVrKBTZNuU1a6qVKjkriYxz\nF8MNhUa52Zq9SYVSji3AqBUKNbrbg9hioJ5f74xeKSXL5OSU+fNWlC/n4OzsHB5x+HVyyrQpi/Ar\nSV7+7n1by1raJia8BTYT+mJDf9+DYWHrty/xqlY9PT2zVYt2dWr7b9m+27tG1cqVKzs5uqWnpwH5\nfJUcr1Ar6vo0BJZw9/41rVq2TIt6Z2dnt+rv5WvWLveuVT7A/6yZSVl0XIpA6osaNmy4etWq46cO\nlS1rFZ/0clK3qTAY3mW8JdByeYpEksPnl/7SAkMjSwcs/bBYeTDTyal8Sp1BEkZSmQwbWqJI+tQM\nG7MyiEFydXFms3nr122uU6uWwMCET/KFQqO+v/UZO2Zkk6aBjRsijVYkmwfyDbQsjB/PqtXOnT2b\nkBhvY2mbkpLi5uIOPYHL4cLIAVlErc65euVK5w69gQlLTqHJM58HnWriuGmdu/42atSQTZtWEMiU\n8Wt7B+ukhNcHDhzq2bNzzNP4Ci6OwJPS5qXQvKlS0JeAlQqd/QSSIr4vrcQi0XfYOkWtRJiZWEMN\nDxgYVK2KN0EvLMFYO3oyrGatekePnDh8dG+71siUh+78DjIgQShkUkTJ1q3bOmHstEePHu3aszcq\nCi028A2M36enPnh4F+vj5XH5Krm8ro/XzOl/6j4WWGEIiOU2cNO0UwNsYik1PQm1lRz5C4QChUIJ\n4/34sbCOnXoe3HO6ikfMlSvnFAo5Io1slkCAta/RCnloeinXI7IkGzhvtNqRk58Fn5kjQenn0ZMy\nbVuKYBGIi4IA0McyxOKYuGd1a1qKc5EWUzZP/evc5aVPveGFcTSE8aFoL28vfNorX1Jg+orHMUN6\n8VUquRKFUaig2rlN/LpZWZvPn73c1EJ45040m8dW0wMNifUsLJ/I0FBT4tOw9CsCpbxs9dI1q9au\nWb7b3uFUdl6+9v6mhoVSa1QffPX6Lw2xpCipp0fVxo3azflzhdBIYEAab9mwu0MXdKyfNrNCrvt7\nn61Nuc0bdmOtgEsWrgRhYtumw0fMrvXu81uZMmU2b9kYMmXG8qXbPN2rzpgZcv7MrebN2r1JSn1w\n98HCeX9yuMSOLRGnjkd26xJU09tfJuH36j2YyxIuCF3arLk/DFQOhw/JTpk8MzdbtXDRGiMDg3Ej\np06ZNPHu3Qf3omP9/QJ37d7r4GztUbEGc5TxGwNP6JevXX35PNnI0GzblnCRMZ/P5r9+kXrkyDGR\nQGhmbr5ly9Zq1dxNzC2hdWrXrjNtWkjo4oX+AS1qVfdZELrQzs6oWdMAEAuCuvfhCmH8KExNrcs5\nOc8PXWZhbjMqeNSFMxcnjp1SvVZVyG72zHkEEkByKCnVd0APK0vrypX85s+dmpubuWfvbkhk/75/\natSuVqOG78GD+5LfvOVwjB4+efogJiY0NDQlLeH5iwToLdXreKxb+zfQ7LOnL5mZid4kJSrkxOkz\nEUqWAjwPHNozyXkSSQrIX3KZgT6sqO7SsdvunXvatGnboVM7pUI2dPBoqJbsDPbxw0fq+/uNGD6h\nint9a2sroHlT/5g0dvSwW3cj5fnyf8LDhwUH54gRyw/+bxJT5XL57btXevbovmXL5l6/9R4+sq+T\no2PTgPbQCotCF1FKiVAoqF61Xk2f2jExMWkpr57E3TYztUhISAAJ8knsHTfnqjblHA4c2i8QEJGR\n0ZDFg6f3Ta1NHj6+n5mV/uDBrTdJecDf/HNs88vnrwikp/SlkZExyDTgfvr8UUUXD/xRwD89i4+G\n7vcw9r6trc2r5ARJnjTp9QsLUztzU4uN69ZnvH977vz5nJzslwkv7MuVAz4++XUyBOjQvvuunTsH\n9u/XslWzYxGn8qS5aSmpZctY4ytL37GZvhnwEEhIiIf6vHf3Bkz4g/sNtrC2tLa1PXo8fNTIgQ+e\nXOcZGPrUqZ2SgUypR0ZerF/Xq04Nn4hDYdduHe7VM+hF0l13kVdefj60VEYmWliSSVVZ2RlSRRqL\nxZfL869HXmoS0NjEVCjJy0oXv1WrJccjTqG8+WnJbxM5LCOKkgAllufnZeWkfsshWTrJknRyLrdu\n/WK1Qp0rlRsZ0Wwkrf9aKZcJDXknTpzSLG7Qng5O1jt37MjPp4RcDrAQEkW+h4frP4d3S3IkQEQp\nQlq58nQYkviQFZcrXPv3ypwcGYxSZMRALTlwYFfau1yRgQCbgFAqKczHQRZbt60GURW4PzMzE6jT\nqlWrhu3dTxtDQEfGGUr5veBRsWbYvoMkj0vJFSRP3ahBa/CER2Nzg4cPHkml+XweOr5I3+ggZs2a\n0a1bUFLi6woVXGxs0K5SWWuzRg2btm7TFN24oggrK/MTESeexSTWr+ttaWN+9vzF65ejZFLZtMl/\n4mV8kByEhga/953o4FCueQtk+kAqJTq26d275+DcbIm1abk9e3bcinri7e2ZIX4vyZc6ODquX7v1\n5s07PjXcFoe2E4jYvnVbXLncQS5T8vic3TsOQQpcPtvTo37Na36UUq5WCzkc9i9IKTFgMDVu0uDC\nhVMREWcl+bmB7dvY2pbz8mxUz6+OpYUoPDw8Ovo+ELOmjVuvXbNDIsnnsqzq1mwa4NtOqZLl5uYO\nHz5UIee4ubnZ29veu3dfrTDy9PQ8fvT0ti17nz/J8PJ0srAQHQjbuX7drgcP7ri4uFat6vM6IaVD\nuz6Q9Ytnb6wsqX59RrHYsmePxe4VyMXzQ1et3OTkUKNzxwE3IqEbEPGxKT41G8Pf/YcPu3Ro8yxm\nGnDsHUb3r+F1MTtLevXKvYH9x0JSl89FV3KtiK8PvU/P4qpN5/y5MjNFffnSnU5t++bnSa9evh8U\n1GnJohXr1202NawEjpuR0Q8fPHmXmtc8oL1cRpw7fbdvvy6LFq4KCztgwCsfMmXuyZMnbt+KruJZ\n7ddRsq0hlokJ3bv3reBccc++Q26u9uCzZeOuefPnBAUNlclku7fvc3Ypb2QsAhEoPOxUk4Ytx4wI\nTksRr/977z9hp+vVbThxUsXD4SeBQ4q8Ht2+/as6teu9Snqzf+/prl2Cunbpe/Hs1eaNo1VqqbND\nVZVCffLk+f59h8+cFRJx6Ebd2s2SXsVfv3IjKjIaoj+NSXjwKLpaFe9vM9WXpo0xswkOoHxGXL52\ngYgPVDA9IyUvJzfpbYyNDW1Vh9ZtgXXpAqkj6A1YASnEPkIj+tqWGi9xIAEfJHH8ChNglKyarybU\nVhYiQrt5q69XF0Li6ZIuAp++qcXSnmNmzrJ+N1haWhKWxb8ystPcgUOto+lHBDBP2MJATk5Oalri\npcsXqlatAi2rUCjw9RJdAGh06AztO2rNadH2BHh8lErbTgE2lrY4ZWDCdHv+ADPC1K4j2ldzIDS7\nIMBp1atfA7shPBCDYkuLeb5f/MIuDHeVSl2Dhs4TNwE0h65pAIOH9CLoLV5d3WJgY2rgj+sZHOgI\nmLdm0RVYaqCXIdOGa08JKGxtjfEFbtpIBYXtS+DssEE3ujmoFi0b4jB6KtZylq34E3tCCXEwrY0L\nBT4eBZ6mFqLxE4Zpo+g0qEBvkvTo0RFIJs5X6yB0xQbOHiKOHTcU75AB7aQICrj3f7vKf1ygFWyl\nxKeOz7ate82NDQQizYwNbeHn3yDl7VsbKwuY2KEmTU0FB8J2ZGfnWiEb6RS0y4RJo4F7tncsS1E5\ns2ZNMzExystTsFj5o0b3Dx42mLbIJtu5a31aWraVlYFMJu3WsZuUrluBgN2+Q3NTkTFFKWkfubdX\ngwkTxioUIDcpv5lQVHqGqNAMAvV1/859QiECgn8k/KSXZ3V93fz6gdVaxev60Qu5P/74yZC/8tT2\nI+CLui9uNWRHict9mfCiU8euZcqW3bNtD56nijZoocSTXr+4EXlTkiffum3L+FETMXH9TPKmUzjF\ndJhPAq0SaS7GkkWbQ3ezBV05JymOSl8vEkujtazgKC/8KvSt3uOlIPpcHb3xCdmg7AgcjyAVGhcL\nXxzD12cpnX5QbTgCx8QuDkej+4I244XTEmjMjKATYigYNhCHS6tU0kbjdPbjKJwvrcUHkUl4pSAJ\nloqjs24BGYMPt8hF+/8sMPOBbH9yspBtNdpKG25Tmm2lnJytkfJBtabCBQJSJLKg2xmZwAMeiKCV\ntFEU19SUpAilQKSiKCQXcbkK2iIbOCVAKQl0VktEUAqRgKT7BhsoK8FCik0EqAPgM4JS6HQCwbeT\n6f+1nKAe69Tw2be/bn4+XTckh5mAGHw+MMtfwbXS9q17HRxt7exsYBb+jDMTFIdlOHHMjGmTCblC\nhq0Pfn6mDJn8fOgMV31gbk0LXTXS9rAKKyzUWNXSa06N6bRi0iGwJS5kC4xQIhOTatqBKDRORBOy\nQIeohj3iFFJ/SHxgDkyNDULp+2uy0/9AjS+di551Oa0H58PoHL24v8qG5aF/9gvJMiTL8OjR461b\nB2oP1+CjZxy6+TgFBvgQtLYxNJ2Hrkk+R1vzekb8NCb5tJZDNFbwWHqNhXUN6orzrWu99MRSq75V\nb7pBPVuNraX/OjveDEoClts+KWXqq07m8/l163nQM6OCxdLIiB83uGZla2prWwcvtUEYhvh9PXym\nYgRdgxYKqbuI9Znp6MhesQcdi3py1P+HxSIGnwIW0/39AlsEBOo8S7IGo0Oh1ccvHZ4/1HAulYku\nutaePn+UlvqqXp2GesZaNStmvwifxaAk6BRFvnufjNX5lhSSnjc1u0qIx6KwflhKpykUfjMz00Wm\npiQLrdAVUdyMVszoNbji7Ssx+LdQoOn+o0ywzrZBoQsVLC0ILd/zi1y3+M8AN5aFhQAta6PBLcTn\nUUoKr2tfjVZ6iixYOddoqP/JtEiW8oAPMBQTxk69eOlCzNMntjZ2zOV9BvqAYSAQkH9vXE3IBQOH\n9maVYHYNWx5d8Xfo2zdpFpZlx48Zx+cYAe+FzitmvF22cklOjqxW9bplzE2jbt8ImRZCUNxCg+vn\nGmw/NYChiTi2196uire3Z0lTJDRc3MvHb96+4nG5dnaO5Wydda/E4ndxCTEKuczSwjr2eayTk2Ml\nN+9vVHQG/x7wWqgsT/pW/Ka8nctHQkqlKhYr19AQ2Fm1TKbk80UyWS4fOC2SkEpyUt9muji7fMSC\nzQ+IUkqWwGb+3m9Uk4DWJsam+GiG/mKavtEGfc//q6QMfh4IhcLTZyLWrthy4sQRdLu4hO4BFNTQ\n0LCSa71pk9HdEm/vyu1ad8cHXA8fPjV31lJ7e9e+vYZWrFhx6V9/L16ydPK4iQxL9l0A7QUNunvP\nwY1rW2GfYs2ZQYPmZLPmzF51/tLJfr37b9ywAY96pNZ10/q5s0Ore9VZuPBPAc90xvSZG9ZtNjW1\nYJjsnw4kKZgbOreKp7d9R9eSmg+6R1LSi9nzZioVUlMT084dBzRv4f/8+fvlqxekpL79vc/QG1GR\ndXw8YbyrVD9NByjlnmVqWlI5Jx6LZyyVSmG+e5uefPzowZhnsXVq1m3esiHJMn4cE/0sLqm2d7Xo\n6Pu5+ZLWgYF6plMZ/MehUEsWLlriXqmKnZ2NQq0Q57yj5HKSx3uXlmJn7yzkGiS9fmEgNDAxt+Sy\nuR5VHVxcXeOTktav29y2eSfokbm5mTt2bebxDKzLl61WzR2m2sDAFgsXhf4+YJClmSXDdX1L4Luw\n0CITJof0/W2QkRG6IEtb2VXSvwqdSUKCXlgDudPfv97ZM8cPHTo0buIodzdkEP7d++StW/bk5eTW\n9vH28UGXymbNnP/3+mUhk+YyxPJnAT7xC4zs1h0bTx69Oml0CL51Q59eprDFdXAjC3oKNXDIFSp4\n9Og0pEOnJr6+jf38G8Ard3eXMsaO4nSqRYvAspb2A4cFVXav5ezs/LOsx34xsUQiAkk8fpzQv9+Q\nnNyM2JiY91nvu3RqT8kMOnfuMmjQyI4dA+fPW/HnnBURh8L8Axrk5ahu37o+cuyw5UtWMYcPfwXA\nHBoflxwZeTd4sB887tu9P3TBLGtrG0Njo8sXrrRt39rJ0Wnzpm1lrc02blxfrbJPZprM26u2S4WK\nx48eO3/lcuOAxlfOXq/oUicjXZKXlYXtoVasUiklOTny6s02bVp97+/7tUBrC2FH3bz74O6jCrPc\ngfId+mdP1O0b3l7VnjyNSXiZOGzYkPiE+H0HDrdt1bxfH3R5USFXNmkaCPRy9crlq1ZsgP5w8NDR\nii6V3rxK1OqOJrxreW3ZuH9k8GRgtZnNy58C+IaMQqFYvXqFV1V/oZFQIslJe59EyQRcvjrm6ZPq\n1WsaGhidO3/Mxs7arUJVgiLadQho1brNhfOnnj69X716dZj8Hz2+N3b0RC6XVcXTVZKj3rB5bejc\nRd/7yz4XX0wsEbVTUjCjNQzwPxLxj0gkOnjo0LUrt46dPR3YuOnDJ/c2bdw0ZfLM/n17ArH8rWf/\nHt1/q13H+9rlKDWjl/yXQXLyWxAjhAbo2I5vvcYhWTPl0vdbtyzlsZZu37x79eqN8+aG/tar15lT\n14BYKlUSA5Gwe/eg08ePLf1rgZ8vyCWn+/TpfefeJalmaiWMeEKYc1/EvfyeX/XD42uML6zv/t49\nZIcZK5pPeCleHLq6cZMmjfzbnTy5K/LGfeCbs9LVwcPH+9QO8PT0zJPk9OvbXywWb926d9TQSY6O\ndmdOn+nTp9+xU0d01/ctzc1eJSWlvE51c3f9RS4p/uzA222PHz9+8DA2sHln8Dl4KGJqyGQHeydz\ny7Inj0b4+vtUq+x14BBSgPXPwXBvb29gs/oE9Tp29MjuXdtr1Khx9eo1lVpe26e6Qq3gG/IdHB0u\nXLxI3xD7OVil0h3w0Rx/5ZDojlNKCtLvx0cqeAhHe6T6KD09TWSIlmtsHMoZGJAWVqYgX/5rRWbw\nw4PDRmp6uDw0BqzKGXN5hHsV93r1a0Td8omICOvSoYNMlQdTsJQmhlwuRyqXtm0bWKe2/8nT5+aG\nzn2Xmedd20uqI5U0aE2H8mKzY/CVwMLXd9BhDU1bQKt16Nhi0jR2q1Ztx4wefu/+pYdPnk6dOq5i\nxUpXup7MyUG6xdWU3NyszJAhv/8+oP+WXds83Ct5elRxdnZUyeWU1py9QCCQy+XZ+VkEc0rrp0JG\nRqY8X25phTRbBbbs/Oe8+XKlZOOqdXMcHVYsXTJ+zKzAwC5NmvrevnsH63tq0qK5i6srUNBp02cf\nOHC4RYvmtBJTBXQkExOD+HixLE/GN+R/KtsfAqW/Z8kl0ZENkhQ42JYnkM7iOBA3ZVQOuK0sy8Un\nPtOFVCpYbK5c/4gHg/82rK2RqSNxlsYKAYfHVyuQxMPlIo4qXyqnVHKSJDl83SCRcbms4SMH/tbr\n0p8z5+/fHyHkaiZQbHciNxfNqrY2jt/4Q34WfCU9RLRKQmRVy9QU2avKy0WXdDDh1DEuWJmKRCrW\nzSUyhSpP8r5Dly6zZ83bsOHvShU9d27b/y7jjX7KOdl5bB4Px2XwUwDzNFx6YOI+IBSquGyWo6Oj\npY25Y3kHGPJVqlaUSvOhZRVyjfotMzOTnkG/zZ79x4LFc57GPJk0aTKhpToKFYFMbJE/jeXg0uxZ\nUhQVG/ckOjo6Qyzes3+jv1/rCh6eK1cuNjJm/RN+YvDQ4eXtrddvRraQjodH1KpRUypVJiS+vH3v\nSg0vn49oKqBTluIiMczmzwsQAZ3sywU0bB5Nr92lpyZnvHubUcZAnPMuJiYG5Im3qfHGZjxwpLxN\nyM3NTH2XmPwqNTMzvV3btm5unjCBtmzZPOn1i+wcsUSSn5gc4+pSOfpxtLWtrb9/vZ9iUH17fL1q\nwWukvn71eDxe4mvggBsiX0qTqVQqw/MmpZKo5Kq8/Hx0zZqnlqmk5kaiwYOHhISMr96rtoOTNTS6\nfrJxL5+7V6hga1uOadCfCDC0y5UvZ2FlnpKKVhOx9kO86MDiIKNdbGj6LNSgbD5SpSuVUjCcu3UL\nWrlq+aLFS8eNnGpnV4bej+OCcJmSklDRpRqfz6cI6uOXd38QlFKyzM+WDRs6gS/gEErC1sr69NGz\nm7duu3ktaebMmZ3btxOLcyu61Nq8aZ9EmiPLy508aWpqasq7FCV9bkpZkhFdWpvBzyGPM/gEkC2R\nWV26tr9x+1p8QkKAf1uh0GDj2n252aquXfpGHD3es0f3nkG/JydlXrly/dqlx7bWLoePHu7Ta8Ck\nyeOEAmOhkLNz++Ea1XyVavmO7cfGj3c4d+rinD/nYB143/vbfjkAvaxWxbt70G/HT0X06NVjy7at\nZmUsL168ZGZm/io5WZor2x22y8jQDObQ40cjlMq8u7cevHmV6FfXr0+foIjDRwYPGAKc0JYdm0Hy\niIyMPHf+WL26fg/uPw2Z8QeIHQoFo03ipwH0hHJ25Tt1CoqMvAS08EVCbGpaMofHfxH36GlMbF5O\n7s3Im24Vyqvk8vv3osVisUAgAvnHw8O1cUCLsLDdPYK665JKTU5JeS2eMWU+Vkn/U6BUB3wIUt8E\ngUIisXcsM2vWJEKr2t/UVNCvf1f8Fma3Tp3Ka0IiFS0/mRY8LEkz4/kzgRbbkXZldIVg+V9r7kRF\nDwsODurck0CtryZpSzWoC1HUzl0bwIciVC2aBIInclPSfn374AWGCWNG0cYs1ZRUevnG9Y4dug/o\n34+ZWL89OFrln8sWLh4UPOzWjZvBg0eOGDouj16GbeTfBAeztLWIvvtIJkUi57q1m2UymaGBsYmJ\n0cFDB21szPLzswb8NnLUsEngb2JsfPBQRPfuPbp37vQTHe5gQGg7w/SQmT16dLt87awkRzh6xCzw\nuROV5O5aa9FCr5Q3uTWqW/21dB1FKTIzpE7OFjAVQOeZOnVqYMt2XpU9dFrewg7t69a1e6vWTbC9\nhJ8CpTvggz5ZZ9qGpK2LqNXY+ABJG7z+QA2Szv0zDgxmq/WLgHe5sFb0loEBMll9GC14uQZrONeM\nFtpiPZfLItUa7QQkUizMx7WNlPiQ2m0MkqzuXbNxQGPi5+w//w2okVkrw/Xr/6akSksb82LDYONr\n+oCBj5fdRCKz2j5mOn+lvE7HDo7AEjErST8dsAG15cuXv36d0KZNQ2wlrRBGjxmEHZgZgg5AW2Tz\nxNvqbDZbkiMpb+s++PcAfE/3ZxnVpVyGLckS1n9sBwLvPGPy/73L8pOBVg0qI0g1Vq9fbICP9B/9\nV1yuSqGQkCRzGOR7gqIIU1MDmDG+aCUcBy7U0I6uLvTpBAY/H5B+YKXMy8u5WjX3z+8JhWQnviG/\nY8dmFCWhKMF/XN3d5+NnOeZUEvSNJDD4UoDcQBanFO0LE+HwDUXIoMTP3JH+A6BFBKJY+1xfnhRz\nOuEnBt12/8JGI4cj+le60zfDt7Oc+dMBnwNkxMr/B/8npcQo6UQYAwYMvgv+/3H9r8wM3xjfjlj+\n+FJmoRLqjjZ8vxIxYMCAAYMfAl+XWOoOAVEUxeVyf3DC8+OTcwYMGDBg8F1QGmKpM+L6+QBKSdC6\nskqR3bfEj19CBgx+EOhY4ZLeEtr9/m/Jg378nEHRt59fNoaZ/nFQrIW4r43SaPDJzc09f/FcniwP\nHvlsAclTKGRKLh8VPU+qZKn5PM7/2LsKwKitN55cktMq9Rba0gI1pFCkuA4fOpyhGzBgA8aGbuiG\n7o9u+KCwocOHDmdI0RYpFC9Sw+o9SXL5f8m7S6/XFunYoG1+646Xl5fn75Mn38NJikAB5Dj6Sslx\nOkquYWgWwkMw8EefkCTFX70tgDHwPJUULCpBSOu8UgTyBIdMsIJmxGjRgV4ZWL43ywXbpBiuE2Mj\nKZYiKMvYTEb0WT5p9MrKbRXe6kPRjQmrm+hbBPgQfS5GYhmb+Ak4SLlMKLUcw4SsymWMwWj2zLXT\nDHnqtaaDhuiRLylFGWhaTuXKal4fU8bkCtqgFzKhwlgt/8tnRWsZgDJ/yB+KRQ6DHvxxo5pUgB8N\nDk6WLX6C3opfYZwCci4GQMlBAEu3gVEpZDgqrIHTyXHTNlf0FcRvKiCuFyNE5aXkRtogg18hNpPD\nCrhMwRn1+b6Vk7k2lVCKAgk9recs3+KYgsP0oltOmV4ZBBt+4iMCSaoYRiu6MX5aRWsuoEqw9wcO\noZ+L8QuWIzmGs3RbevJgBMNgpCktjqFwkrb8RPQXfGjzt3L0mBOPOUUhpMlkHcXfscSSDEFjjEUS\nfB5InGA41jJ+FLmpgHgOwaJpoY0oo7B/3JxrBiPfgMaQJCcUUfyMv/ALIzkosbn0OW7zNyZDQnkj\nE2IiMXMNM5ip9oSSm78TcsYf/MVNL02ewmekyYMxR2h6j87K4XjO4BLZ55uz50Lj395vKMSvsyrg\nBwiO4weUTEbl9kSZh/pRWT6agZqfFGuP1mrB7602mhXGKIFSSTao1xjLGZNipg1Ch0OH6mSMjgWy\nKRdoFvRKNGzgl8H4r4wGhVwG+daDr8HAmIk/BjxCLoMC6PVGPjLWQJFy/hC70MkxLvf4wDG1KV0D\nzhpzxjAho+CRNegtA8sEvg3k2RRGrrAMQPMnR/lHSJ3OLT6CP47n1CmVX19Fn6AYIPBrP4Hw+cZT\nEAxGPmbG3kARtihyvV4vl0MT6IAxADuRyZRGo4njokpB7Bb8ZWSO/XHEigB6mUJFqOATcMiAl1Ny\nvQ6D5jJippZAVJDWG8EhJI6xwIIVMuG9Er1CweAt+krIgBHiIQnelCjDGgx6vhI4RmDwgicENmRr\nMQXB0mQ2ODCKM9cTCmzeaAe/fJysMUuXxSk1OE3nQxopBR9Yl83JCFNTQofDoT8JnU2uUMIrPlHO\n9NaScENIvkIMBoLkI2GFTAJbt+w1lrRedEN4gtAY9DoDQ4MQxot6nFJOUvAIoptao4RXJqpLmsiv\nCPAxsiCy4BRvFhOkKGvT8EoVwRoIS3+9js+QQqlAbuTATHWUCknzedPjyJ/ldKIbPSIHgec6eAOp\nQxIosFXk6JVlYAgGn6O3VhmwSgViYzGekOGU+QgQzcdPCVZa9EZaIRA4cMAQh+HIGSi9MGyRjVhc\nyKTeqINOotcbFAq56K8V7vZCj+YRbBLEkQ+40S+KBERzcPCCMq4DUR5FgqRt8ZXo5rhc51hEHyTN\nI00AfjlBlJfbyJGAbkparCpBNEfNIfQsHkYshyhZSv9Q9XLClHsr3QBljKRyqU0mJUHOxyZqFND3\n+Eeh+4kZAN0DfmWc0tQ5aQJ6phE3NxAtdHL+Y1NyIMeDJwoJv0q5EmkCokqQW9DXwGgTVQUYMjBe\nLC+NgcAyITPCGCFMArHe9IiZlQSBgIh1buVG0Fm+slJOTKmzOUlYus2R6EStQ7wDTtQxNBqbkMDq\nb8v8CrdmSdo4IMFNpAS8cMZx/E0j+ZkvMsllFvfEilBZ5AEFQ9VkaxFGlO+w3J6vyHy+n5AWb8nc\njpxP0GSLefqItvxQlEpEES/fmagCLiOzSos0h7HiATnSsIUPY+V+W9HPnFC+orhYOgozS22iv5iQ\nlaGNPMK1Lu8nVqnnicqqUKQ5A3TeJIochFKQeXsI+Bfpcr0W6ESd1aDIOyJYPJfZSyBnpGCqgmVx\n1FHNil+B+qNo7MLSR0iLr17KzK0tPcW0lCSBIV1Wx5h7X048JpmeES40FlIXFE1wySyPh3JcLvmD\nZfl5ES534+LQDRjrmVtQIfIrUIE36oAmwMdvpAlZ/j0H1AlkO0mu5LWLguKx+kSMHMWMtAv+zgMh\nJzhmYvicRcaQJ/iAA/2Kj2Jg0W0Fq2j5EgnJWYYRC2ip+VgBvqIpOQgpCgV0MjnKuU6vV+bcymBS\nlpBbh3odyO16vUKhEDUiDHs7tRIrrAUfAh2P4XIs1+Wkmt9UMmdp4y53AMIqGI7b5GEz+c5Nv3rC\nOt+3nMVbLrdD/ITLbW+BsPzQKmMFWWYowNMqLS53ElaZtK4WKzeyl/SWIF5daeY4Ffl5WuczTwYU\nBb8yfW4Vlfn2J0RJSdEIlJhQocr44YDI05dM/v99uf7jxbZ8k7PyseSUEJ4wH00X7pomkY1u4ZOc\nzi8uf5oMhwmc0nIWlMwz4ctZzghbJC7GQ9rkTwDznToW0n0FeZVOjhYlFMLK9Ad3zlJaQi8hsGxo\nqdH/VfzH1fu2yeUrg74i2BuLp6/JzD/Mp4SShg+OWUqQIEGCBAkfGiRmKUGCBAkSJLwGErOUIEGC\nBAkSXgOJWUqQIEGCBAmvgcQsJUiQIEGChNdAYpYSJEiQIEHCayAxSwkSJEiQIOE1kJilBAkSJEiQ\n8BpIzPI/hV6vJwVIB5wlSJAgoQjh32KW6BqvQpgUKt5QCAYMJU4pQYIECUULhWSWyAy8YGiYtyxM\nEIocW/U4yxshZphnL5I93Hz42yYIjmVxs/VHCRIkSJAgoYihMMwSOJ/Z0LBgmF+w609RFMfRDCPc\nWUipGCbjVOS5np+Uw/iL7nS8ZeL//K5OCe8d6DJtcYIBPQo2003XtojWsSVtu8gh34udpRuSJRRX\nFIZZAuM7euzksZP7MjL0VUNDe3UfKJPhS1b98jQx8dOe/SkFd+r0MYMBj4qO1ih5Btm0UQsNaSMN\noJIGYI00p9Vn6dRqe8QXb965Tsmwcv4VMTORffgkBscU3qXLSRS2aAHJPZiZO4LATFGmW+3QrbzS\nEkwJhNgrCkKR7hWFYZYMo6tWKWzu7MU3bl0aMXQsDJINm1euW/nH9xOmu7qWztS9KOMZlJqappA9\ndHEsTxJyjlOD9ml5b6eE4g2W1ROEgqa1/Qd+Wr1G+MgvvwH3il9/1mbJbsXGObkqp0+ZAf0I+Vy7\nfrNmrYBBA4eTpFJimUUCwCDv3ru+YOHC2NjbTZs3HzJwuEKhYRh6x97tt67dc/VQDeg7BFoTy31b\nr4RiDFy4iPTKjfNxcXEkSdnYqBmD0dnVydHB+dr1K+iRlMtqhjVSKovqMC8Us8Q4RxeHkBCflKzn\nfv5lNmxdv2n9wW3bN3p5eQBN1GjcPep7pmY8T0tPrV2nGobpdDqDtO22hIEEGXPDxu07dx4MDqwN\nzyf/PnP+3K01v654kfaiacNWHT6+mJLy8uaN24sXLrl//1H7Dh2aNG0VVL5iER1FJQpo9nXxkghP\n98BKwQ2nTB/78kXi3Jk/L1i8IDsDHz5k+BdfDU55Yfhu4kSaLvAKXwnFDgxOUUuXrD96+FgpR2e5\ngox7dGvIoJEhlfy/Gj7OvYwbq9eX8Sy/7vd6RXeivlDTsBg/zcLXjcyw68+dxw5G/vrrSmdnG1Cx\nhZ0+MJaMClJRv05ToVIUpFJIpUjWj4S3Bo6zFEVduR756GFSyxYtjRy/BWz/gQPly5WFVy6OLhUC\nykZeOP0gLqlSpRrQm/z8/Nzd3c9FRgKzLLoDqUSBYXQN6jTu3LkNuLN1KevXr9NO0u7ZfXDRwqUu\nHqV69Og+7ceZI77+2qbI6hASXgFhC6fAOQS6ziBfkiGMRBnPgEMHJ5ZydgSPiRO/69u355mTf8+b\ntwC6Ck1zoDUpbWRFdya2MMwSTa1QBB4dfbNn925r1612cXHMyNBrNITwlh8eSqWNT1lbVC+EtLWn\nJIHjCIbR7tixp3/v4VdiomQ4Px135/7NRvVa4DgvZmls7J88Tr53+3Z4eDhSUwi5IuWF9j3nW8Kb\nAfgfyMQdO7aiaS1FqXRMekjFKi9fpj57mWRvr4EAXp6erEGvy8y0VakkZln8QGIkLqxPI1Dmf2mG\n7tGjvWdpJ5CV//xzr3cZXy8vD72RZrITI35b5eho07xpG4LTvJ9MvwsUfnaUYwz+5QNq16rdt88A\nePykcy9LkUHa31hiIZPJtu/Y7lzKw9vXKSs9HTRLmqN1WgPLGlAAiuRHmk6nBZKKfJRKFUW9ZmuA\nhA8KLK4nSWXis4QD+48t+GlhaupLnU4nk/ND3kgIM0+YNAdbDAHSbezdmMdx9xUqoZUNPM1nWTYw\nKNjDzb+MnzuoRs9fJPz+29Y5s2divBkWw66dBzzcfQ8c3dWo4Z+rlkUUXZMshTs6opfJVAxO2WnU\ny5YsttM49DLzS1oL+jknreqXWCBN8Y/t++Mf3z50bP/Va1euXouiDayDg+vLlFQUBqiql6d37M1b\nqamp5s+0KpUak8w1FCnodJlTpkwePPCLqlVDYmJiQBai9dngz+r4iXclqZFas1gi4XFyTMxDhVwt\n+hj0rIuzfxkvcJK4DP9p3vwaNar7lHUH9alli3adPu7o6OJwPrJvyzaNLn1+MTy8dhHtGG/NLIEa\nMsAQSU6nS9NqtVDsOXOng3+3nn0W/5L6ed8BJKbkpPXJEgyapqdMGZedrlep7IcMGRIQEDSg36Df\nNvx64XI0CpChTalVo07c44fXbkQL4bVZafpqVWu+11xLeAvIZDKWI/83b17Htr1atmoEPq6unjSH\nJTx55l26XGZmmpe3j729bRGliRJeAWjTJo1rNmlcR3hiBA7CiK+gY5y9ePrIoTP79k6AR9A4PT3t\nGIzhaLpqWKC/f+B7zPk/x1szS6gCpZI8cGDf/TsJ8Lh6TcSAT/vNnjONVGDzZi9wcHDo+Ukv4JXS\nOCmZEBa0iMByAeC+FB0Zn3jHzl6tUGd16tht1659u/ZsysrKcHUsW6NmNUzOjRo18sSp/Q8exFcL\nDa8YGvy+8y7hTQHy0PdTJuzZfQAns0+d+1Ov1w8YMKRR/YZ/bNlUq1bF0+eOfty6FdDNoruVQ8Ir\nwAnrjrzJNpI3TsMwJJpKxHFWq82aMnlq61YtXFwcaY5+/Cjp7v2o5h+1wyjsStTfPj6eISHVgEQU\n0X18hTtniYVXr7t+Q0OcNhiMHAgO8N/UydNGjfgaK+LHTiW8EwDHZFl9crx+xtSlpIJLfppepVLV\nFctXnDh+2t7eYca0qQTB1aheYf7shWfORLp7Onw/aQx0K457x+eLhFkQpuiukXyAQFYtk58mJT3J\nDq0cfudGKsMYsjKzDDp6wZyfJk//8fupUzQ2HgMHDAA6AIGlFZniCr5lhSlE1MLAKYGbHD58Mvb6\ngxU/r+M4GkZ0GU+PVWtWnIk87+Ji//Be+sQJU2xtFUWXQRSOPJH2TnYYX0EaTLADiwzAOjnZY4Ix\nPMkMbAkHcEroEm3aNuO4DKGPKUEXqVixTNWqgwSbiAyQUYbBa9epXKduGCbMxGL/woIlUnMlTvlu\nAc3n5uq8JmIBxlMA015IoIA4rl+wYPaL5FQHZxXylDhlyQE/FcvoKlcM27lzp6evPcMfglDgSnzo\nF4MunrutVBE9u4U4ODgUXU6JFfboiIn6CGSIsBoSEqeUQBD85SrCwEA7xdGeLxtB3jS9JQgNx0/X\nG00+xaLXgBAgTE0V22UIgjCNd1Q+1HxoVxe/uQNnXTxKSTvhSyD484EE4VPW3QdzFzkidIPSXmVK\ndyqDFYvzEZJhHQn/HbjifuK2ZE75oiKjxkXsU0LJRF7FsUirklaQmKWE4g9p8UyCBAn/EBKzlFAi\noNfr0c3b/ypKoFopQUIJgcQsJZQIZKamKtzc3ncuJEiQUFRRGGaJ1vPhtzjNR0soxiAIwknilBIk\nSPgHKNw5S+nsmgQJEiRIKEEo5DQsMmX0JpsmzNvKi/ByThG1NyFBggQJEt4VCsMsKYoqxASsYPuD\nSX2e6uDsjBWdA8u4AIlZvkNIe1MlSJBQ5FAYZgmcUiYAszhGgx7FAKJb1EGBxdI0dvDo0d69emHF\n4oyqhLeC2ENYVs+yJDJegWQRafFbggQJHzgKd0UXe/r0mccJNytUCAyrGM5gDEkqn6U8O3P6SFZW\nhp9PxbCw6piF7giOrKys6zfOGWj6+o3os+fc1Bqb4IAqyJLLBw6Jqf9zCMbtGD2TRRB6JWWr17MK\nBcbqMVKJJT9N0NgqbVR2HKdBM/ZSbX+YQCIvMo+OzBmiAQ4+NE0zjI4kSYpSCUaaTDaMpCmEEgU0\ndwh9AD1yNAe9AgY5EoutlKuiiMKZuyPUatXUaQvTU1OOHN0dHBAGVaAk7WKuxp84fWzenDro6hZL\n2qfLzHxwLy01NTUxIeXe3WRbu0w/nxCNpggwSwn/ENANKIq6ffv2gEH9dDqOkvG9Ym1EREhIyNZt\n66OvXX78OKlrl06tmnd83zmV8CrAqNfrszZv3Vy/TmM/bz+O4O+OyMpK3bpj20dN2nh4uOE4e+To\n3vOXo4MDQtp/3AEZ5n3fuZbwL8KS/yHBKC0tO+n5PbUKp/UcpcBdnfwyU58/T01GPhDMxzug6PaK\nwh0dYcPCwho3bLxr1/b+A4Yc2LPP0dHF1lbRpEkdI6cDIqjNyFDwjJBBdpZBq3Byc+vZszNIoBCg\nV8+e0sxb8cCbrOaiG3kyMtIrB4d3aNuVZg16nd7TszQQ1gMHji9etOjM6Utfjx1ZpVLN0l5lJLXy\ngwVQxnW/bxw6/IvTJ075+/szNOgQ1OJlS36cNutKVGN4G/Hb6qjo2G6deowdPyojPat3r14w3osu\nZZTwWiQ+S1Ap5fY2Tkgwgj5wOepi70/72Dk4wij38PD468ix3X/uGTtuvJOLs06vr+BXYfeurYXb\n8vIhoJC3jsD/NjbK39du7t2325DhQ3//fQOFUzTN0gb+Bh8do9u7Y/ef+/a5ujqO/WZCKUd3VgBw\nzSqVqzA60M1JaRQVAyBm+YazbQ0bhbduF5qWqXew5Xd4bdm2s1rVcJVK1aBhLTmhOHfufOlOErP8\nEAHtCwTu5p3rZ86cL13GT6VRYsIuv0uAc9FeZXwUSjnwxYiItf+bswDE6G7dukVERIBMLI3xYgxg\njbt37vEpXaFlq0bisM3O0o0eOaFTp3bAGuFRRREMS/847aePPmoIPkqFokifOSz80RGdVhdcxQ/4\nZfMWTUOrzhn/zUTwp+T88Dh16vy1q/f69xox4tuhFLF0xg/T0XQ21FT9+vVgXL3LEkgoIgACumnT\n5puxV7p07Tp5ytR7t+MaNWqBCcbH1baq5JdJ7zuDEvIH8DytVrs2Yu1nA/pduniOlMnBMzMz5Y/t\nmz4bMGzEN8Ph8dGjR8+fprq5u4I7KChw2bKkzMxMW1vbIqpDSHgFcvZysmqKIrHcuzvL+rtnaONB\nlgqqUBnjV7YpX39H8HFwsPX28mKYIrwpoTDMEk2sEXIuO13btFm9xYuXfPnloDrh1WzUrikvnnIc\n3bRpi6Bgn4cPk33Lut++FYuZbmMggGXC4JHkzWIDRApf26AQzM7OpVePz5s0bnD02MkhX/SvXLkC\nY9TJCZMpKFu1muCo/yLHEt4SLIuTJLZzz94aYeGhoTVoo87egb/LdueufTWqNapSvQK47Us53429\nr9PpCEFW1qjV/HKLTgfM8j3nXsK/gKTkey9TU8Hx8MkthUZ3956DgdG7Ons4O3lm6rTLly20UTtG\nnjvf69NP5s9dlJH1YtqP6+WE4npM9PCv+o3/dnrR3cdXSM1SKLASub/4YsDV69ED+g/5ftL3CrUd\njlNbtq3aumV3//59fTyDHsbHYeaqkdhkyQQISUFB/sHB5UCQ6j+g65qIFdevPSJlyucvXohhnJ2c\n3mMOJRQEkmRevHz264rlPXq227J1hTZLt3X75kohVSPWrhgwsPf2bTfSU1O2bFrl6uzHYQZWWIUB\n2KpVSqVSUiuLH4DyXzgfe+jQcaVCGXXl8p1b92/fepidjnXt1sGpjkeVkND5Py0LDa2wZeOhPp93\n7dGlV5tmHT5q0qpCheCVK1d/9/2Yru36lw8qVxQ5JVbIoyM4K8NA79YplPyEDMZg8xcu6NLp4fBh\no776aiTNcT/NWdivX7/OnTofO3Zcp0vDpHPoJRsMo7txK6ZySBja8OXg4NC0UYtHD+MSkx7BI83R\nSqUiMCDwfWdTQr4g01PZ4KDQyDO307NTsrPp/QeOMzpVYEDlo4fPp6Vm0zS7Z+fZ3n38SLk8Oelp\naa8yWdnZXt6+Go1GGvXFD8Dn2rZt3rZta+Cay1euKOfv36RxA2ETJz/MQSbmt6wwTKceH834X2B8\n/Mvw8NogIjOYrkvPTsuWLX2R9qw8VmKYpaBTMvv3/xV1IXbvvv09u/cgSVKhUKxZsbxx8+YGg47C\n8UaNGq1cvUyn06WmpiYlJV65FhUcCKRQGjYlFKRS+eeuIzGx90IC/U+d+rtB/cZNm9XL1qb9tGB+\n757XY27crRAQGBQUVESHUPEGNIqff5lFi+aCOyYmZu+fu74bN65+/Xro7d9/nzp8dM+cWdNAXVgT\nsfyvYwfCwsKuXr3RqH4Dy3UsCcUJHEcgG6YsTWRn6UAC5jhgAtjz58+vXjvatEkbisKexD/2cC7t\n4e126dIl6BIURj2Nv+/r6xsQEPy+s194vDWzhMHD6LEKFQJ/W/s7Y8xCniBCunh47N65jzXotRna\n6dN+6Ni+W9myPo6l7BISnjg4lKJpShIxSyZwnIVO1qljt+07Nic8TAoODf2oQSOaTm/ZFkQr7I8d\nB9xLeY8a8TV0IX7ASfjwYDQaQUQGUrh+46YmjVr8uftgWT8fN1fnxOT4XX/uql/3o83bNw8bOnzO\n7Hnz5y+cv2AxyxoGDxokzcEWYyC51s3N3cndDbnh18HBZv+B49dibrp6eESfi/32229qVAwd+tWo\n0LCjjs6e16Njx30/zsHBruh2jMKQJ5JU+vv7I7dgzoOfbAEHSKDgQ9Nae8IWVAcUwNHRXvCECv0g\n9AbR1qukx/w34Dd24WxwcLng4IlmH5rBeDMfnTu3wbA2GJLAGEZqkQ8WAil0mDp5kmC0EpqJgSHv\n4eYz88c5FIWj/e3QxEuWLHr6NMnDww0Z+nnfuZbwLwK6RMeOrTCLrToEoQCpd8+fR/Tp1LChw3zK\nuoPn+HFjDh06oZa5fzu6LfCCIt0rCmfBhzMaOYtHk86IKgJYKVSfVaV8OGolYpPiXSgS/gMQHGHk\nLPuDqTuAp2jWQFrc+sABej9qLND/QQBCPpgwoNDhORjyFCXz8vLIO/wlFEtY7WsFrQlaf9DgXkI/\noVEfKOvnPnhIbxSgqPeKdz/x9eHrB9K+gw8HH35vkYCQdzImb9sVdWoo4a1g1QGAqKI5BnDgrGmP\nCsPADy1YEi7yI70krhJJnFKCBAkS3jlE0spZ3KKBPN5Tjt4lSiKzlCBBggQJEt4KErOUIEGCBAkS\nXgOJWUqQIEGCBAmvgcQsJUiQIEGChNfgHTNLHMd1mTqIVaGQLnaWIEGCBAnFBP+CZklikiUWCRIk\nSJBQnFAoQ+rCOUWcP0qDIdPYIoxGo0rFG2ehaZphdEolieMq9Irm0jGGIogirHGKJ+glvC1YVk+a\nr6lhTD/8vyBZoUd0idt7y5+EgiFcRstTCo4gkFs8NscCEeBP0pGipQLBRzqdJaEYonAWfPiRAGwy\nIzv+6NG/Hzx4Ao+urvZ169bRqBx37d5GkKpe3fvqGf2D27f5kDKeQRr0mf6+AWp1kWSWkuXSfwKo\nPYGiMhRFcRwtXEMC3FEpPGopXpyipPPsHybQte3QeDhF4eZrfoWz5wR/qS1H4CQpmCokkCFJGSbj\nSBpESkmyLMmwNO6DOgZW9G1WFJIBwJi5cj1ywvhJ1as1bdCwOq0n9u3fu+SXlWuWb9i/7+TDhwl9\neg3gGO5mTJyB5eQyk3Lp6cZoNGxRVCAkSfmfAGrv8aOkMeOHarV6AMMaf1m0zM3dccHi/0Vdula2\nrM+YMWPLePlLtPUDhNDziQcPHhw4tF2pUOr0OvDs2/sztdoeXUAUef6EWu1UKaQKPN64dSk6+nJI\nSKUqFcOLOmWUUGgAdwCZWKfTKRQaJF09f5GgsXNQUeoi3SsKwyxxnH305H7njp8O6D9kwoTRyLNl\nq0bzFyz2D/Dr1K3DmhUboI4cHV06d+ps9W3RrSyJlBca0BlSUp8qKfc2LT8yGAzg4+lZev2G39Nf\nygb0G7F02YIvR47cuvEPZFX4fWdWgjWg+aKvRC9fstm/bIVMbZqbi2fPbjIgAonPkpb9vMrbp0y7\nViHw+NehPUeP/12/douJ42d89dVnHzX7mNGxhEK6qKtkAelR+w6cqlcrPDy8ll6ftXrtspQXhthb\nUZ8PGtiwXquie4lF4ZglteWPzTSHffnlINEYIPx+NrAf1FRGiunerqJbKRLeOWja0LJ1o149uzBY\nBoXbgeBZ1iegd59uDrbOrq72vXv3f/o028tLJXWYDxNGPfvLLwvEayxpLj0rK3PkyDFdO/Xo1Kk1\nP6vOML9G/DZi6Lg6dcOeJN5ftGhV84/aSZyypAHo/5Gje9es2TT663FVqgSBz8q16+IfGmbMnLht\n297Jk2fsP9BQSaredzYLiUJOw0aejawUFGRrawvMUtjsw69PKJX8Dg6NWvNOc1j0IF5pIpF+S2zc\ntPaPHRvv3b7dr3/fYUO+atK0Lup8L9OelK/g61rK/j3nT0LBkCmIcxdPnDyzH9wD+w1wd/P/Zc1P\nGKZv2Kjqo/gb3l5+8QnP4x4mevu6QoAqlSqt+Hl5SkpaUb+SSUK+YFm9+coZHoz5H2AET+IfT/tx\n/poVa/z8y4BAzHHE0b8OfDFoLLxv3rzBzFlTbly9GRYWBqGL4mLcWzNLxAloVpmWloyZdUrEFSiK\n3xn7/GUixxnQNVglk1uUzFK/GnZ2Lm1adatdO3z//gNjx40JCgps07IzUFKaTt+wcdvwL8aRSkIi\nrB8sUlPToy/G+ZcrFxGx6tiRUzu27dn2x261rXLcuMnHjx8fMrRfq+YddNo0hcYGAqs0vNDMMFJr\nFk+kpacoVBx/lYgFWFbhYOv828Z1NmrZ/kObzs+IHjKof8XgWo/jkxwceVUSuCshx5ISUzC+bzBF\ncRfIWzNLxAVrhYV/P3VCTExMSEgImolFd9rBK1LYzlNiOSVm3mpfFHvDvwTgguXL+wQFDYBhUqVK\n0I6d22/ejG3TEjqJfuqPU2tX/6hDp6bCLlmpxj5E0BzdrmPbPp92pyhVm1atW7f76Pjxk4mJiUM+\nHjls5JCjB48NHfmFu6uvEJRXMxiDEZfLlEqyxFKAYgwg7CdOnL1wKVKG8yKRkdOBw2DQdWrfvXYd\npyMHj+v1ekc7PyWR3K1b/zWrI1gDplLlTBrZ2Qvnx/iTRu+rBIVHYaZhgfZ93r//+rXr+g3ssXH9\nhnL+FTGeidLJTx+5ufqBG+pLoH0l9KyFxCatAP3h2Yv4Ml7+GEPKKNzT27GsTyD4L1n+cxn3qoOH\n9Db3liI4gEoAsjLTHBxsoO1g4AeF+HqVcZHhCkKuqBVeRUURDZrWddbY6fX8vq309HQXF5fUtFQn\nVzeNRiMxy+IHaNN2H3dq1bK9pSeoBzZKuU6nS0pK+nLY2J49O3fp2L5i9QNnz0biuDw1KxUTtEkM\nV9g58It0RBGcg8UKa5RA7+JR6o8d274e9U2bdh3btWvh5uqRmamFV717dj90bP/N2NtHj/3VtEkb\nabRIQFi3dnP9htUCylc4fDgyNKRmu1btf1k2d/asRX36df1uSlTqy/TePQeEh9eWZmI/NIAm8fKp\ndt++HT27fQ6PZyOPhVau1bhJo/J+ftduXalfv15ywj21vaZxw2bLlq36+8wxf3//q1dvhFWtKpPJ\n0IaG910CCe8YoBZSlBXj4GcRFITCw8ObJdPgmVKRrk6lypetqrY9dv/2rTo1qqenZ9qp7T3dfd9H\nlt8NCqX8kSQMg+DgcgcO7jwfeS0q+gr4Va9SIaxGFaiRUUMnjR1FODjaS5zyQ8P7mh8mlWSTRi1X\nrFjtWaZUcFDgd+O+ZTDtw3vpTRq2S4430AajVstkZbL/ca4kvAlgFJfxLr1qzaMR54c7OjiQMtWM\nH2ar1eTYMWNmz5mjIIw3bz4aOWKsn3+ZKZOmrlm7XC7n4h4/HPP1aPhQ4pTFEgUdcwDx6JNOPf7Y\nvLZNy0a3bt5zdHD9uEPz+wk3Nm3a3LJl4x07d9QIq+Pi4lh0+UKhLPiAEk3wk7FQOzXDK8Gf+MrW\nVuHl5YTckpbwQcFsqOw9gGHo2nUq167zs7CSreWt+TDknLnTrYJJHebDBEFw33z9XezN65icq1ox\nQKWyhZaqVy/Mu/SKu/fuNm7QoYyfM02nt2nbLCgoID7h4UfjPinSNFFC4UBz2gF9u4Nj6dIIe0e3\n/82epVLRI4aOtFc7Ll60ytPDb/yEPmiL7PvOaSHxj5YV86VuaLtsEd3vVIxB8IY99YwOI23+050X\nOM6SGC6Yu9NhHI0xFPzxcxO8Wwgh9MEiuoxRvAFjmRFEG0dHEsQdtPCERj3DkN6+9t6+VRhoP4bk\nQ2Hasn7uZf2cwUeagC2JgIZX0oMGt2eYzuhgCUjJFIUNHTqQ1jKEQsbTH/6EyfvOZ2Hx7vfgIEIs\nDZUPELwVeyX7H4v8wmyc0Bl486EkPAmbXhX8bh7URyQN5EOFeSqVQF0GxGDBYDrvBn9BRVDwbUiI\nR8iEN5i0r7kkAsiLYBNYKRjZZ4W+w1sC53uRYJ6iSN+igZXYDaslFu9XiCm6MzASMKn5JLwBkCxu\n2VWKzYS8xCwlSJAgQYKE10BilhIkSJAgQcJrIDFLCRIkSJAg4TX4F5kluslMOg8gQYIECRKKOv5F\nZglskmVZZDP230tFggQJEiRI+LfxDpgli7OYcIwu352WBXFKljXdYyXsMy7OQCUt9sWUIEGChGKM\nd8AsCY4QbMMw4ukqNAErOvI1j0SSwglnIYJ/nod88a5uPvmH8QhH0yROKUGCBAlFGP+UWQI7TEq+\np1Tb22lKIR8cZzMz03R6LSejcCMNvzZKpUKhsfrqyrUoV3c3Z2eXf+lMOi4AexenfFBUhV58vXc/\nxsvThyRtSo5yKVY+Aqo6UYRCPpaPWMEGJyVIkCDhQ0DhmSUwRaQZDh42olv3Hj0/6QUUULCPpT13\n/nJc3CMUjGHp4MDgunXriB8Clfzr0O7Df134ftIYEiO5f4FbQhJ3712fNWv23Dk/OzjYvTkVzqtE\nsiz71cjBHzVv+nHrrvkm9GomCgFOnLiQkXVg5JffQMQlgR/wHQPT7tuz7+ixU7a2in6f9vfxDiAI\n4tKlS5EXjmqzZHUbhoeH1YEGWrBwoUpjMurx9dcTPFw8pe1gEiRI+DBReGbJcQRFySIjzx7Yf5yS\n4cAsRWWiQf0ajRs1xnE9SoJhGJbNJAj+FnUI8+jJ3UWLVi1a8IuNjQ3D6ChKJcaZV+HIVwWx0lry\n1VHs7byqVW0kePDzw2IYS3JsqQCJ8VhGTtNajKE83QNtlKURXxTjEdke+FhmCUkMlpH07NH90z59\natU8XLtWs5LBLKlLkRf/3HWkSeOWf2ze9tnfXxw68FdU1NVFPy+dPn3c/dsvf5z6w5rVvz58mHw1\n+kG10NrwiVqjJDGqJFSOBAkSiij+gWbJ4jSr3b1n349TZv9vwYyYmJiQkBBgFSSpErij3hQ3o8VI\nlclktsCK1m/a7OTs6udfRqvNUCrJm3eux1y9QimI5k3bKJU2T+Ifv0iJ9/byvxpzsbRHBX9//xu3\nLt24Hls+wD84IFivZ21sHIHdnjp9zMurdIO6jTBMkZR8L/nZMz+/MpcvX5VTVHjNhpAQa3zZpl04\nRRkZhqQonkPH3rzhBygbbFEI3cWoi7RBH1K5lopUpme9TEtLdnLwzMx6CREGh0BIVRaTOmBgB4Xc\njqZpiqIgrQdxD9Qam8ohYSAu6HSZaelPnVy97965ZdBnBodUwVhIjoLk4uPjvLx8Pbx8VCpVo0aN\n/ve/hVs2NXlXy6gfMqCAFCWfOmWWl5dTrVqhrdu11+mYv44dy8pM8y5dzrs0Nm+BPPV5mkGvG/3t\n8PYfd0Bf0fx1BMW8ZiRIkFB08Q+YJYVfibqYpdXO+GHYrj83R/y+dO7Mn9E9UCSp5AkfIn0EMpnN\n7+JB+lbk2ejw2rXAAaxxdcTPJ09e6dG197bt21YsX71qdcQff+ycMXNKzZphcbeTv/hqkI2d4vq1\nW9VCwwcN/pIi8O7d+tZvUGfp0tVuLi5Tpy38/LMeo0dOWPPbjnlzZ/bp1ft5StbevXtmz544oN+Q\nH35YcPzEwWNHTisUzK9rlt27nf7iRUrsvUVbN210cXEBzpeZmf3Lkp/TU3WR586WLe+2atmqQ3uO\njh4/uvlHjZRKh91/7uzYuf38uYv27D747ZgxU6ZMHvz5oCNH9677bUeD+nVP/n3aodTvP/00f9ny\niGUrF/Xr3y866ubJ48dmzprat/fArdvWX7wcXdrTd8Gi5TOmzQJ+X61mrQULFiQkxpf2KlPsWQIU\nsFq1aiCIPH+RsGP3pr69+tva2lYNqf6/OT99O364r49Pg4a1ywX63427tX3nH/CXlZE+evQIXu3G\npGVLCRIkfKD4Rxt8tm7dbWvLXbkeWSU0YPPGXRPG/Ghjo8YK3lODmGVScqKS5Feqnj9/vnTJukUL\nltWpGxZer2LlSlXXr9v4zejRa1avDQmstWbN2GfJD3v26b7xtx3BweXOnD3+6GHi4EGDnj59Pv7b\nifbOZGrm0wP7jgOzHD548Pq1a6uG1ezdq9eYb7/fsvVPYJZDvxhxISpKaWPzx/aIPTvPbtm6HvTL\nvXsOoyITBMEwxoYNGtavX2/fkUNDBg54+OjeJ590+W3jlrRU49J18+vXbvXthMHffTOxW9euy5cv\nh0+0Wu2ESTOnTvyhZatGLVu0q16zcq3atYcM/OzXX1dQuDIiYu24cWN/X7e536efLV6ypnnzWsOH\nDWvSuIVSqYbacPP0pDnsyeMnwCz/SYUXHTD37ycsXxZx7MTRgECPJ/GPodI6tP94za9bU16kfD/l\nW4ZhcEwjl5Vq3LjRpk0bu3Xrf+zIcZAqJGZZJGC18FEQpBXo4gfLjZOWi00iinGjF4ZZ8uojiT1N\nfnDxfHRwUOjqNVsJyj4zI3v/kT09P+nF31NYAMVDpNBObZ+WkQyOuw9vxyckuLk7QP062DrXrBF+\n4XIUH8BBVrdBmKuzjaN9BaXKfsefazCi07OXSX379qcoiuWyfl6xQC13TX2p0+v1ECdJgpKq9PH2\ngW8DgvyirlzGccrGDlMqlEqSPHr4vH+AF3BKSKVNW37VEDWng4NN8tOH303ZQXD2OKnU6+Aj3M5e\nFRgYSKnI6rUC7GwdDEYMUrS3d9CoNQkJCYlPHgZVcoEYvLycqlSscfTgcSivk6tb1aqhKopoULd2\nzNUrEHPPLv0mTvpm3botHzVtNGbMWPDBdbzCTVHyQrVR0QPDYJ6unlOmTv4me2yN8KpLlq6oVSuM\npJQ3btzdsXXnV6OHuHp4fDFwKHBQCPxxx9ZhVWqcjYwEZvm+My7hNWD520mxe/ceREVHUgqC1rOU\nItfRL5KkkCOsaqiTqycMTUkAKh4Ass8wOoZLV6psTV5WDWteawNJuFhu/i+kZknh1KYtOzp17D50\n6EDkg9OqJYsWAvN4xQZXGDYgk1atUu1B3H14tFe7ZWSkx96JRlRSq0urHtwUHDRr+hwY1ZSJ47+f\nNEVBlhr95aSa4ZXAc8L4qaTMLmLtpIjfVsXeiRWEXJI26ixSMcCvDFcYaQNokGqVw7WYKyhpMQy4\n/9y7e+KkmUf/OqFQ6tdv+E18RRt4xmY08HmQy/n6gcgZoxZTql6+TE1ISvUpzctTpNzo6ubOFxxD\n+5gwo54l5Pyrzl2a1G9w6q+DR+cvmOvs4jbl+x8ePLxtr7avUKECSBJEsb7rD10X/OjRI29vb2gK\nkHgCAwIYPfbbuvU9enSHx8FDep89e/bWzZtobxcILrYqlbePh4eH+/vOu4Q3RXq67trVJ3JKk/dV\nVlYaxpNLnbuLr5urt8Qpiw2AlqalZ0yfMTMrXQ/KCfjodEB14Y930wxHkTz1CwmpPHzYZ+CP48VN\nTnprZgnUEDS5s+cOL122fPy4sTSdjmG2en1q6bLKhYsvLFj807Ahw0xrlgXgk85dPx/W//mLhMBA\nvw7tO0ybPqtsWd8HD+Iys40D+vU9e/F0zLXYU2cON2/WVKWyPXpyP07oVRrjoRObrt083rP3QNrI\nxT28sGvPpr27j4Gqx2+lSUqOjX1w7uKJ8PAwiP/2nVjwvHD+SkxMTFRUVM+enZo1XzZmwpe9e/XO\nzsoMrVZHSfL7b5OSnr58nnj3wfkL5248fpSQlBzn6el67UY0sMbMzBSDUZ/8NOHGrYshsipxcQ8u\nXjjX7ZNu1UJrLZi/oOJK3/v3H6enZXfp3B0Sirl+4+bN2MaNGqdrs+7dfpCUfG/mnPmDB/UfNrJ7\n1PUTZbx4OeDAoR1t23S0tbWlabpY80rTdcE7du4UzofUvBj1N2vQDxkyaN6COZcuR3fq2C4tMy0z\n+2mXxoN//mVV916dnZ0d9x/YV9Y3sHZ4w2I2tIolCI5gWH1oaIWqVce+IhjH0RjPMsnip16UWLA4\nq1E7jvl6qujDGPhWZo00IeOnE0g5/yuXyxBbKX7DuTCaJagOz5/qx43+0VatyczklMpMbYbOyb78\n6l83G7EsnY6xsSnwW9AkQEHs0LbdzB9nz5o9a+mSVYsX/xyxaqe3r/uaFWtcS9v9fSZuwrgpcgX2\n4mWqmyfHsSqNosyFs3Hw7ewfl2dk6mdOmzlz1pznT7UTJkzYv7/andsPn75ImTR+FoFzWbqs2uH1\n+/cdDpwyNTX9y+Fjoq9cHdC/9+YNO1atXD135q+Nm9apXs1kYaBZ67Z/H7+w+tdtg4cOGTdu0t17\n8ZlZpxvX5TdnXr15r7yvf69uQ2NvPn6ebGzVtLsR08U9efjb2t9/mPHj+LGz7OwdFi5cWDG0wro1\nv3dq3//Z0xeA0CqVW7fqcOF8rKtj4NRp893dHRrUbdbn0343bl2Ku5uyZMl07H3fvfzfALT2kODA\nXxYuOxJ4HCTQRQuX+vmX+fbridNnfP/jjDmguHfq2L1N22ZJqx9/OXSEb1lfdzf3GdOmqlTFbWgV\nVxCEQjgx/KqlKZCoBbFJatPiA5CTSCXp5aV6bcjiumz51swSxgCDcR9/3EYQHoFv0gxGODg79Ovf\nCsf5uWxQnl4hU7CsnsXJ7777fuGCJY8eJfh5e0+YMBqtFUOEoNf36tkTuXGcOnJ077nIcyeOH0cz\nqAobw/07yUB5V6yYI+ScrFo1hOa0JEZCYJR0+fL2U6Z8LUwOkML8gI5htK3bNGzdpq4g5xIsy0Jy\nkA3PUra/r18JmcWwjNrVw4SFNgadZOCPV2LYgkXThTLqOndugzxJkly5cnFGRgboppSK1Goz+nza\nfeAAlfCWc3JyCgsLgzy0bcvoMgdChCpeldSePX0V+LqLi2Nx7UNWgGK2aNGqXr1mOl02lBpqGyrK\n29dt5Yol9+7f0tiV8nDxhFrq079zyxYtQQx1cHYWOhID1fu+8y7h3aD4aRUSsBJvZqsw5ElBKAW6\nD4yHFzORrsRxCiRsvlp5IoSTJDIK/+bbYUAxeXsBwil+mqMhKwqFxtweBI5jKoX70xcvL1857evt\nf+fujfhHyZMmfiW8V+A4i0ISmILDzHKuUBo+Tg6tpnB8ZiFFhuUttJK8B2RPkHkVwEqFU6E4w9ii\nFAnIi6kI/GZdwbwAxKxBkZu3KnA2NjZolxCy4ScEY1Gp+SVJPn5CeKPg9zphJCiXaHtRIaq66MLG\nRg5/qNRoWh60jXL+FY0CoJageT09eemKNxFMkiC3/pfjsCQceJUgQcI7xD+S5Qs9qYjM3Ii3dwk8\nz3rKBjxr16k8eeLUiNVb3N3dZbhy+rSZvCpJmxhSPvnJz5OPCvLJWa8VojkigXEWmE/LVDhz+FcE\ns8oA/0gAXS628xKvgGVFoX5iJZYKlcaZ3v7nbEtilhIkSHgrvLeJr9eSKqTt9ejRrkuPdoyOUanQ\nbCf94S/7WRFiiSh/aPgnZvElSJBQMvGhrxKB/kGCDqokTZOuHzynxMzMkmXZIpHbEghJfJEgQcLb\n4h8xS8QV8tpxMG/Y4ax0rMLNfRU50pbXtrsECRIQ8tp/+SeXAkmQ8J+hcBZ89OJVIflaPEKelr8I\nVpYBihYKEAtoqzoUwwi3kZje5ltL+cYp0AIG4/f35v/JOwdKEW0nzjdLZn8ahSkoQKGSpv/Lkr4y\nJzwJfpOcoPlbZPQLzXaIFDwvKbe8/NxSfMRN1wyQyOYJKbS4aAGF3++UK01G9GQs1sWF3PIf8tMY\nOIuZosr1GSl+b05I8CTRKjsufMWYw1p8awrG5OyZw8w5zEsxmFwuc1irpM0haMsnEhNIBKYUNw6g\n+RixOLlzrxWKrUI1YApjnQAKyeRUKso2g6Gd8GZrl0KNWXzL7zhjWU4IY51zMpeL4JsPF+rIIpM5\nQTgUFWNeqmdZnBR2PLAsbhENYxWnUCJTAIJvUFzIs+DgA/OFgYKbHhnUHSxyylj2GquWJy2TM9Ue\nqmdTlhixwUxJW1YNwxCEgi8yyVhWdt4NIrlazaJGUEGswoifCz6WORfzbBEFIxzcJMw1T+Zt9Zyv\nIGYIxgfmr73KiSffbS5vhcIYJXienj1ryeasLH1mOk84bOxexf80woWFEBgceX8tQ6oUvF1ZrT4b\nHPAr+uQLFMzSx8mJfPGCsXxEDhuVMlOrQw7kgx7Ft6Z82qiyMrVWIfMpjhDMyocvoNkTPb4J0Cco\nwny/KsjfRqPKzNIih6W/SpFTn1q93srH0tNewabpCdEzbzArHxEaNV8zWdk60W3Kah6fN4FKkav7\nafUM8iENBgVkQJ6PdUCFitRrGfSLHl+dhFrJFyRbp0duglPgJI0JFJuRGeGRxfXwC4+8P3/9qtHy\nkSAoBviaAoiL6RFFS5Gm2uNAzkBHsDFG9MxBHuohWALjeCbBCMwImAeJeAydQ9NIWviXMpMs2uTJ\n0zSKJxf8BmIOGZYjMZ2ZCEMwyhwVZfGIRjktsAxEu2hgOSg3QswoZahQyhQPT3hxxkTUxTHFWPzm\nwIKFknzcpNVbMtcnZmN4uekjJsNNNASJFzLMgqSYvzDLISQuw3PCUFh+oHK/opDbQlLH+c+tvpXx\n8Yph8o+Y/xQ3pUwV3PdkMirHKXwEKeYik7mjx1GJch5lpiC4uZAUisX0SFl+LtxtR1oKnVTBDkyQ\nT8z1nLesOG5drSgtmejKFY8lcrWaJaic0DlhzJ/n/orKv+JNpc8pf/4hxJhlQmAsF3m0koQLsWuh\nMMzSqMMYrY1CZqNwyPUqK5snSRq1ArnBAb9pJsZECY6cX51Bm5nOU3yl3E5nSBfCiEworyMHEB5+\n4XPxbUam/hUZztIiBTeb43IxV/DR6xmFQJ3BgfEHV0grB3KLARAYVk8S1rwEPDFebFPkDfMm4UVY\nJm0ZUgR8Aj60QU4zeoq0/hw8MZ6U5++PCeIwKdB0US4m85B4K5EZAoCPTMYzQpmMtozHaKQUchlE\njj5BYVAw8RPxEblZo0EhV+VNxRIQxvKRkMnNpeBNasGvSklqdYxQUhwFhpygR6vP0bfIB9yosHqD\n1uqtVTDLsr+6rjBzbUMlqNU4tIs5qwJ7VucaoKjVLD1Ra+ZbCVav8oa06jxiN0MOq2+xgvsheObt\n5Ji552dlZ2nUGquRgpk7qkKRDwFRKwuUF21trDOABm9efxFIFkdyuZUn8gc3+i0oBhFIRhfdyGEp\nteeV4K1gKaCL4jgAxHTLx9fiFeI4JkjzEEDG8eTViKdiFiK4NkOhstUjMRrc8LYgaVvOORrwlDfP\nEoSX2+heH84sgiPJO19/EOWt5Pg3iUT0AYfoL0rtlhK8lRvLoxXkC1GUB8nex90p0K80mkt47Yci\n3ppZAkP29Cz1y4xP3vbD9w5aEE2p3NPCwhFPJLIywiwHi+ajzFNbueRfSyHZHLiQYBiaVy8KOIbP\nvxVlcHHygySRP2/NmMslW6Gb0fgyYnRescukSZmB5+ZSXG4GACoUyckY3EgY1YyRpggW3CgWksyh\nR8gTQoqR8LoXSscifY6hkIqGYrB8BToc/ILgZWapGGmUgbaH3EgXtARpkGUbc6pLLWMsH5FWqtXn\nnZ/JgVZreMXbgpCR/ipRzBI6ff7LaTphmkRpQWczMtLyDUnJKdpA5/vqDZEtfK6WU+BQyy10q9fF\nTJkDQ7B8A2fn9kFJ5BvVsxdaFycVcrx9CXKQqXsBvxmpMlsHo3OpXK/AEzmcffkOo3izxR1GCyFt\nRDcC+Fi6016Yuakg66NfMYZkwwtRuI+LyxU5PL5aascEwV0jWKpCErwl8vUHz7whc0WYyWhs8qEh\neXUDgEHItlxQNvKNimGzSCIfe7/5+r95YPDBeIlNk++rfCMpCK+IQUzlFd/qDXxvAVm5fs3KK+d2\n5Sd0WZJ7YztThVmztFy1eltlVrzhJd8PxbdiQq9Yz7e8LAaz2CZgXhbKkRrQ2gxpilOMXHjLG44x\n+TDCjQqIObGk5WqNOYDZIaxDsnnXcJicyf/XAPHCfJeAxLemFElSzDyaxVIqyXx1bjMM5m9NRbUx\n8SiGYTghe/LcK2Q0Zlo9UqJFsdzx5KhZwrIIv9yFm6SE3ItVGGGxTiLGTwsRUuKSmHmFzLrgVlyO\nxAqagc+7FlaIPkzmXl9kRE/sdeuXlt0MMxtBFVeVClpDy50QoEwB/phVh8qvniz7Xd7k8q2N1wZj\n8mSGtHDkG9Wr85l/cvluBhRjsKz/fMNbrg1b7g969aVReV8h62P5ZY/K/TbPmq85TL7RYhZL+wWB\no/kxKB5eyj2USGFyHhOGmjDnLkSFzJ5wZumczOlspuyJ0+DIwVnK8QJ5Q/yAZXGLtUPcumR8kiaa\nTDIck0vCFhei5ZB/0C9yFYm0WC5heKIBVIL/nEEr4hbkK7/eA3I/H6HV8jjJr2+IKgHLai31CtQ1\nxRUQQgjGWuaKsRCeSFOhaHFyi6X59RR+GUT55pwSe10Xzx9Q6QmJjw/+tbNKaGi1KnWxnMMSfGMI\ni8Z8kfM9OPFKS3jWZy1evfONN7xnsXRsPYQsomJyd3rLMvNL+hYrS5ZUPDeBsaCDDMaYFsMJzKIT\ni1Ez1mMsfzDQotC3lGJ28iGd4jI4g+fOpGDpX1jpBvXKKAwYfhELhUfL4DCoOGGvgXlVTEiDIc01\nY4qZNG1oyOnWKADO5swUCUvrSJIQJjoxJI6hYCw60IPGM25uRMivEE/O9AiXk6rwI4QX35Loc5wV\nB3xB9YYL2zQs29dURsFgnrh1xYKpW1crYS2EmY1QmWgxi+UVqvLAHBgTEhK9c02vIcnAYkONic/l\niTPXo0j6ocrzmFclcofPKWy+mRSDoS4BtWTFb8z1YFGZOGkuXS5Z01wccyfJ2UYBTUZabjsyJZFr\njsu8gQUlJ7QxwYmEG8Wvgy6cK9OCUae8W0JQ/IwwFWT63FxJhLHAXSeWr0zjwyIhc8xG81tUVDRu\nck8vcZjYx4S2tEoQ3loKski4FLeAsSbSYc4MY96TAvkkkGkWwVAHWtLjLYJxyKAHYZFjE5s0ZwPL\nS0EIofObbL0IQxHyQBA5LY4mzwSTKTmlJc3MUnBbtoUoIhtz8z4EC7XHzNJIkI/5+yryoYF5BCsu\nfzaEdgKYkO+sdQ7Dzf1oBZFxigF4ogQleitO+YoEXg0dNNDV6w8V8lLVq9ZHXlDpwlwIznN4YQOC\n5V1UMplMVCXzZYEip3ybfeQsKWzvs/zQQmTLUR0I0yuzwaDc8RAWvTl3/PxtUxiGmS0NmYqTpctS\n8hdl8qMGdeU8G8MQzzYRnbxbIlE1URSOUSqaFu1Ni1yfzBGWMbEIBJaXxgnsWthMQGE0L53hpBCA\nQrq7UC7BPg4vtFPIfK7W+o4w0pRPit/fIGwWQLWUuyfxfDe/vf4iQYTOx5dUJuOE+n/tYoAVfTfT\nFP5Y7aunEzCz4aecChGKRpn2H3Bi5FZJvMnqhNBYudoLnOKmj7zTIRYJ5TRQ7hRz6lEM9mrk9NtX\nDmYxrTfZ5mdqzRwJoEBzVAi5B6zZQJUYm2WcvALEb6dA4cU483YAkTtiRK5BSJoUfVIsVK46LKB0\non9BARBAOcs7QfXqTwhzM1nLERaemFAtucuRK5glcuokT6UQXK4B/uoc5tvQBQtzhKXDqsXzOvLN\n+Zsk9Iov8o2wgEorAigcsyS9vDzK+5Ul5IrEZwmzZs1QKVWZGak2tg6Z6brqNavExcXpdPqZP8wR\nWwINJHRrNIk2u+eoICYSbKVZmgV8Iu8rTBjMT+Ljp0yZ0L5d948/bgPxs6xpo7C4gIeZtVskZDH8\nHuj825sRNCbOLKiaeyqj0+lIEtn3zvnQ1taW46yNxZtVIhMdh7QQ7YbHjIyM+3F3gwMriqydZ8OY\nbt2aVSq1snuXgSa9XCgvfwUSiMz5UV4sZyUVqAsSeiFnuu07toOzfbtOIH8JBSGfxD9WyJXOzs6C\n2VVUEmbH3u1yHOvUsQefVSZH74dPEEGJiYm5cPls+7Zd7O1tzYXKyYDlRBDKnrD5nrQUV589ewZi\nhEajybdB8/XJ1QpCA/GzQWZh15JkoHZBwoeYK1TPqRnPT5w47OBg7+pWJqh8RXGCi8vzeb7pivmH\nmOPjE5OSEqpVqybKXpCf7My0pOR4dzcvtdq+oMyLhXgzpvxPIUpg7/zoIfdm9jT4ExGoazFMli5N\nQWoUb7DJogAw/HUGpomBd7DFX0Re1itBQqFROGbJQ2dIZQ0OL5+mlC1d+aPmdVu37zBpwoQK5cvf\niL1Rzi9o47p1aE2Rv8ERHWPC9SQ/Wa8yC+yMSYWihNHOmDQDge2hGQPEbIyCEkZBPPCL6CCiFE6l\nnJOS0q5cjQZmiZmtn8Mr/qQUSQKfg9GLCKvAGzDxQ5QllCuTBM2YNtGj6sD5hQnIOUuaWCUpKpmZ\nmc937dnVuUM3YAkoIcxM5UmWJ6x8VrU8iwLeczM2unOnnklPkleuWP3DjMl2mlIEYRrAkNt7957e\nvhXbs9vnnDg3hQmMSCAWCQlJJ8+c/qRDe9P5MAanVCSooQzG7wwyL1MAr1JcjoqFlCAh4fwVv664\nbu2WgEDfzp06C9GSvApLkmdORCYlJX3SuZdJbjEzj8T4hzHXbjVr1vzly5TFPy1tUKeFo6O9aFYQ\nRBDE44X0WNRlEDFFs0boqBaEhZpcG8Gn27Ztc9MVIhDStE4giBsERwpro4xpaVcnTEoKp8csqbPp\nSJwwmU9gggyk5L/luSiblv7s2cuX5Xz9xTtTnz1L+WPX5uwU7NqNwy4ujj/NmYumB1GDWRB9BqK0\n4pcoXZEvPnpyd/2mna6lnCpXroxmthMeJHp6et66dX/IsP7z5i6pX79eQYv0UHytVvv95EmD+w8u\nF+j/rxJoSGvvnsNJTx/36d8bCTrvNv7Xckph0iUzM9NoYyO/evXGiFFfTJ00r2mzem9rjRLqH8ZL\nZOS5ydMnz5k1Oy7u4eq1q5YtXeHh4vkP7RGilr18+fL8hTNHjRgvSj8SJBQahWSWQBfi7idhRqVf\nhbKDKwQqSaO3p4evd3mgJtWrhx0/flRlL9+1Z9PzZ896du+nVNrAwDobeez5y+Tmzdo4lfJADOzK\n9VO0Qf/02XOSpBrWa7Lv4EEbtW2Dxk2ADup0WecvncrMzG7etF1i8sOnzxIh0du3Y+Hzp88Tz5+P\natGyNYwo37JuwCKPHN2rM+iaN22dlp4Sn/jI0cH5zu2HdWrXjL1zIzE+qVbNOgqFw+OEGwpKaaC5\n+Pi46tVqEoQNaB737t9IS9VXrlwe1EWhWEzyy0eEzI41pt+6czskqApkFdHQO7dvhYQEurv5JyQ8\n/eWXRS2bN1baeAM7uBpzTqOy8Ssb/DIlCeOvDmcfP7lVKSTMRuV46Oj+qOioNq3b2ZbCx4wdAaI3\nBIi9EwUEJTgkDGhcrVphL1+milUKVOP5i4S4R/dCAkNVKtvHj+O2bdkMzBK9zWJSdcn8Fkp7O1eB\np1OZmSnpWfedHDzrhjd8mpyUlvlCl50GOdRqMwYM7AClQOIFZD4zKy2oQuXGjRvt338g8VkCbtRC\nMFHsgLqK+D2iVas2oaFVylbw0xtBizK4uXqjHVTAchKTkz28fCDDGdnxuFGtS9dq1LYUZQsxq1Vq\nZydPTthPDG068LOujMCwha/iSzk4KRQ2SARhSB3L0Fk6A8dwjo4uvJEjXEXT6S9eJjiV8kZiEPwK\nJ8aAxer1ep1GoxTsG4LEgz9/kehUypHCVTdv3N+8ZfPPixdjaOqYoo4fPpSdpvvm29G/r19/4XIU\n+IOgw3CMaDdDuNAGdHAlbjFbKNY5qiX0uOWPzaEhoVAV0L1B0kpNTp48ZcrKFUvCwsJ8y1QyCFsd\nkXRltRMNxalSqbp26gMKPfdK4xuirmMViRWs7EBZPQYFBbg4u/ECFpVzNJDLb+edVSSvTrSgDFvO\nwKNHPaP/dsz4mdOmQeWUcvAG2RQT6tMqCcvazlsnyCcgIFinM2qzdKEVwxMezWUNbEHhLePMt9SW\nMYN/hQoVkhLTUtNSRSMSVvsHLfNpldwrCiKhZKIwzJKfK2OY6ZOmg8ZF8noLkaE1GKAzyfTQ/4Bk\nGBg6Oiq2Xu30VatXJCakj/766++mTO3WqcfdO89Gj/l21bJVQAEhhrkzV997cL1Tx+6bNm2sWmN7\ngH+1tevXzPvfVGCcs376oW3LTw6euHw28kxISO2x347q3WPIvXt3l/yyskP7bidPnN1/4ODm9X9g\nnHLf7oO6DHbT1i09ukfVr91y8Bf9w8PDUT5vxcZdib65ZdvOZT+vWL5s098nT7T/uNvmPzZ06tp6\n/DcTN2z+VU6q09IMa9Yumzt7HnB0XSYzZeqC2FvRzZt2uHDu0rOUyZs2brsUdfpG7JMKZYM++2zU\nxMlj4x4kPnn84qf/LRv4ed8jf50o6xOw/+D66jWr6HXGVb/+3LFd3wMH9tepX3Xyd5NO/X0i9mbc\nho1bU1Je7ty1+cC+g3v3HoUsRZ4/Xq9BrZFffkMbshjadLAJxuSlS5fORkY+ikvSGzf/NGvuxUuX\nb9968MvPa/r262Zvb6vVGb4cPs7BwWH+okWrf/3Zzyc4oELlL74aNfX7qTJCf/d+7NLlEft2754y\nZWxwpaqfffZFl65d+/QasGHr+oSHScBCunbuKKeUEGzxwqVHjh2YM3taw3qtYPxDe52/HBVzNXbJ\nkl+7dOmUmpq6bcsukPQrVg6Y9ePcm3eun4uMlBOOUdcWDPls1LQZkyCroM0PHfIZQ7NQ+fC2WfMa\nHzX7GLhQfMKT0WO+/qRtl0bNGq/ftNbDKfjOg6jRX31NKnk9cuWvqw8e2N+4YaM9uw926dpl8OeD\nrlyPPHXqb3tbzwuX548eNbK0px9kBiKZPmOah7vb86dpGK6bMXse8LG/juyNf5T1KD72swF9L16K\nir5yLuK3VUi5B6528OihxwkP6zYMZ4xahUwF0sCUKZO7du5es0bNqdOnVasZWqtqOOT8+wnjvbz9\nNvy2ufXHLdydeXFNz+r+2rc7K51KSI7t2qWbo73bocMn7tyN8yzjVCm4JrTI1Zh7N6/eWLN+XdeO\nHdU2qms3I3fsXhsUXGHo4JHQe0/+fSYxMQlqrF/fnmq1PUR448aNk2d3O7l0t3eyO3L0SPLLpKeJ\niR07ttKoHCPWrQkKCrxwIQpacNiQYUgtBrni4rkT9+4mQ87bNGtz6OQee/tSKS90V66fbdumDTTQ\ns5RnZ06djk+OrxseVjkkLPFZ0pG/jsXFxX3cvin88kOPqoSmoO/ffdaiVZ3yFYIP7z96736cu7uD\nMC3PT7eABPbX4b03bsZ2aN8hLLQew+gg52fPRkJOqtWsFXXpmK+v39XrsV8OGXru/GUoEWSmfdv2\nNjY2+w4cTEp66uzk1K5j6zOnjsfefEyS+m5dems0/Pm/e7cfXrgcefDo0bbtWjg6OTx4eOvH2ccC\nygV36tgDRKMr165fu3rDv5xb9Wp10eY4kF2gaQ4e2JeVldK1fW8HZ4fDh48mJN1v3bYzNIeDo9JI\nUKWcNfb2aty06RRPSXl2Oeq8s4tnVPSlsmW9QHjds29fQAXfWjWaAGNLSr53+nS0s6u6Tt1GV6Iu\n0qwsOz01JSW1fbuPT/59ISUliZdTbW2dXB2gITZsXgl1C/L03bh7WZkp/NR9akqdWo0uXj794HFy\n88aN7dWO1+7GUnJjWoYu/mEcfKtQaPgGungeog2rUUujdJLusi7hKKRmqVQq0TUgSNJkdAZWOByK\nm0xRUL6+viNHDSLlNAzMK1eiDxzYVatmgJEz3Loen5qa6eSkgH7c5KPatufJCRNGv0xNSk1JRY6r\n1x/IuDMH9p5sULdhKVds944rw76c4FHaZ9jwIRyW3bJl6749+7dv3X7A4AFA62mjrkWLFt9NnBge\nHjZp6vjRI8d6evh07NihXav2oMvaO8oNbMrv604AgejSuTswyxEjB5UP9FqybMmnPfrMnrNo2tSJ\nwZUrLFzwy+27dytXrKiyVbX/uGXM9StffjncZry8ZduPl61ccO36rVkzZwWVr/jgftysWTOnTZ5e\nzt9/8vc/7Nq9dfPmzctXzve947565aaINWuWLFvRrW+PVq1aDho8aPp3qnKQUpmAPp/2u379xh87\ndtC0rErVgKBgH0ymA04PzBLHlUgeF8560m7urk2ahT94EDdh4kyoIr/ACmXLlx34WV8QTYCsgxrd\no0f3v44cgAbbuf24Z5non36q2arZJ+HhtTds2GakFSOGjqQ41brfdqxd08a/bJVsvT4qKurg3mMR\nq1cmJLx8+jTp/oNYhVI1deJkG7XDxg37gBajpMt4ePhXCOzRgz84m6HVNmvapFPHbj0+7T76m2f/\nm7Owdu06TZqHLlu2NLx6bGil8NOnT674edXhY/v379+3YMG8xwk358xZzDNLHPf08LJVO+iNdGTk\n+f0H/gL1O7CSBz/bKsxUA8dasnDZvNkdA8tV/2nej31695g3f/EXnw+H/AMdnzZ19soVK6Aj8ZFo\nHIBTTp407ZPuXWJirt66efPUyXPzF0757vuoufMW1gyr4+JYrn6dxiSJpoj5yN1dvb09/K5GxeiN\nKc4OjqmpWiD60EXTUnTXo2O7d+pRKbDOlCmzW7dv6e5axtnBBRM0jw0Rm1NeZI8YOfSPP7Z/PWr8\n4iULMUzu4xXo5Ogl9nOZQunjHqCQ22ZlpmVn4CAMjfp6ZKuPul+OPnn9xs2RI0cOHzoK+OXECRMg\nsEppt3njvo+atT58ZM9fh/6eOP67/fsP9+k7YsO6304ei7p1I6l/v37jxo8NKBcEyivU2LXr53/5\nZdmC+YvOnonKyGaiLz46diJi1ozZer1h9KhJv652Xx3x6ycdupf2LDN61LjpP4zdsfVEj57dZbjy\n0YMXxw7FPE+Ja9Kw9XcTx/fr38dGbTvmm6mt27eA6vp+woS/Dp5F5s9Ylr14/rZv6WqpL2QTv5u9\nZ0/4yrWrjXqsY4cOW7bs0abpFi1e0aJpB7+y5ZctXw29cfCgoT/M+vFs5Ln6dRpFnjs+ZfJUiOrY\n4UMrVq5c/MvyY4fOQg+xsXGEwsY9jMtK1z179pLWESyjv3srqWZ4tYmTJlcNDY+KjoyLS+rSqdfo\nMV/2H5jWqnlH4NoxMTFbtmxrUL/Jyb+Pnrl04lxkTNtWHbKzsSFDRvz++zpWL5OxeU52ZjNTp8wP\nCAiqWjV02BdjunfvrtHYDRk6bvuWzVDnf+7b0b5tj//Nm/XgQfzzJH3EumVfDhu7Y8fWTZt2gvy9\nbNkayMM3o0dnpev/+vNM+fJBGzdPSRqVDm00afK4uvUa+nqXz0yldIa0y+ejjx48vnLJivXrth89\nfmDYF9+uiVhz50HcN6PHLFwwJ6h8rSdPUnbsHD939iJx5l9CyUQhmaXlsjnQHVJpbZlMY8+vINrY\nKWzVqpdZmTo9BiM2qIKyY4fuDg6lWJbhFxdx2sGRl1Id7E2mgORypa1K9eJlKnBip1JeDWqX7dF1\nAIXpVQpcLsMZudrd3Z1UsjI5rrY1bSZ2ceVpn42NvZO9H5BOla3M18eXUpHbN/128+ajeuEtCcXO\nzEz+9E8pFzeQKCm1xlZt/+xpemqaDrSKl5h2/rwF3qX9GH5tj4/Qs4ybrS2feV9fD4KzT3iUIpfx\nYkFAoO/uP3VGRq5QAKdXJCUl0XrZ7ZjUMm5Vf5rTjlToXUo5uto56dOyQTrGSE5B2spUNOjdcjkG\nhYIqWv/rZgpXQhEUhOlcMEGiTcz8Yt65c+dBs2xYvxGI/BnpOlu5ipJhkJCwiKuC3wa16yxdumz5\nql8mjps8b8GctavXNW3SEj43cjpXN0e1mvTydYu9zQsrFGlQyNTRV65SpJ5nY55qL68QENKBqUDN\nePu4P3oSh5klG3s7B1u10tHRPiUlzU5tX7pMaYVcyefhpe7WrVtenuWOHonu328Q6OuJSXEhwZV8\nyro/3ZaQnJz895lz9hrvb76eKEyq84u1apVDVnZW506djhyK7NFjsI+PJ3AgN4U7i7MQoa9vWU9X\nT6DIapV9QsLT2FsP/f3LcRxdu1b4TwvmC8Sdn/WCzqB0U7q4OJbx9MhO5aKio5+lJP65M9LVMTA0\nNNDI6Z1cNf7+/mjhGRL18iyDk4b/t3cdYFFc23+WrSxdlq4sS5eOICBYwQoizQJoVLChMbZEjZrE\n9iwpL1ETSzQRjQ19Jii+KGoUNRbQ0JUmuyxtd+ltYSvsOzOzuyIxmvyT5z95md83H9/lzp17z71z\nd845d879jY2NFYIug6OsxTDC+Cl7FzbYcDDT3n5n2dTJGZcz0k9+c16hkODTPivrZsLsaLhB4yaM\n+GzPpwpZD4fNcfd0GGwzBCqHuWRrY2lhYToxIgTujqIP8R/uFBoWCBYM+FuZmbcUStXlq1dt2XY2\nVk4I9t6aYz8Y5h5Fh5aRcd3Ty9PYmBkZOREMrOZWkYfXUDZ7SHCIn4+Pbwu29g6DxjJhN4gk8QkJ\n48JGjh8/2sfXp0faHjZ+pEoVArJ9d/5S7qOHbk5BegYksH4yL+cyDVW+vu4eHs4gfnNTd36BlMfj\n3crK9vQcDj6fsaGFKZNz786xlNolb8ydTdHsxnTzHHz3XlZrW2NPV2e7qPli+sUvPjng6Mp+551l\nFAbZyX5oYmIsmCwRkRPXrF4Pw75kQQqYShNDo3OyS1KWLomfFT/Yxrua37oweX54xAQGZTS+eunr\nHQAG8cIF88Hq7eqRzpjpFxUZffrMcYFACOrK2squpCyXQTNuFPTiy5snTh/j2DlB70aHBf6Qee3b\n9HRnFzbkdzT3SMViBkMdHETvt7gK99R3uI/LUM6yhQtuZmVCc3Nmz75/Lxv09PUbmZUV/EB/PphE\nVZUt0dFTr9+6siRlDsvM5MjhI4mJcXQGknHpCl7VG/Niw0LDWCzjazcufnkIfkNWm9/bPMTWsrGx\nubKqwNLC8lFuvoqsipw2qZxXlpQ809BIL/1C2tPS6hMn03fucLUcTDl1uqq1tR3kwXeN/YEhSAT+\nQvi/B/hooVJJamtK6gWC4if5wSMCwPzKLXhQVlre1NYkk/YVFuesX7OeQafff5g5duxoHq/N3DwQ\nwfYw8Cr4BQUP0Rd1/DKhqEEikShlSHZO1ob1WxtbWssr89zdPTvEckWbgsflV9bkUWn0Kn5FTT1X\nX9eMz6+qE/CkParr1y95edlfSL+0aPGi7p42yK/ilw0bNiz9u+tjQwNJtKaWhoau7iaRiM99WtjW\n1kQnyWsFfFMzupmJsUQmiAwNahC2kSgKbI0FVR48bnnh4+yebjG4OMuXL711907a+aPr1qwvryyY\nFjUFLgQZHuT8wOHYtYnrOc569vau3V3ShqYmPp/f2FhHokpBj4rBaqWRs+/f5XK5nZL2WoGQV1mW\ndibt0IHPSkpKBcJqhaKzoVVUXVMO44CGzlOpqanHp0SMsuWY1tdUS5WNcoXsKa+ssDjfzdUDj/Fh\nWVqCmsm6lQNe6bWbQ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"text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Nernst potentials for important ions\n", "fig(\"nernst-potentials\")" ] }, { "cell_type": "markdown", "id": "c68c4ab8", "metadata": {}, "source": [ "Setup:\n", "\n", "- concentration gradients for potassium, sodium, chloride ions\n", "- channels that can selectively pass ions of one species through the cell membrane\n", "- if we open sodium channels, the potential will move towards the sodium eq. potential\n", "- if we open potassium channels, the potential will move towards the potassium eq. potential" ] }, { "cell_type": "markdown", "id": "652df609", "metadata": {}, "source": [ "# Behavior of One Channel Species" ] }, { "cell_type": "markdown", "id": "98da6c71", "metadata": {}, "source": [ "Given an ion species $i$, the current flowing through the ion channel is given by:\n", "\n", "$$ I_i = g_i(V_m - V_i) $$\n", "\n", "Here:\n", "\n", "- $I_i$ is the current\n", "- $g_i$ is the conductance of the ion channel\n", "- $V_m$ is the current membrane potential\n", "- $V_i$ is the Nernst (resting) potential for that ion" ] }, { "cell_type": "markdown", "id": "6b982227", "metadata": {}, "source": [ "Assuming just a single membrane patch, this current just flows in order to charge the capacitor formed by the membrane. So, we get for a single membrane patch and a single channel and ion type:\n", "\n", "$$ C\\frac{dV}{dt} = -I_i $$\n", "\n", "Or\n", "\n", "$$ dV = - \\frac{1}{C} I_i dt = -\\frac{1}{C} g_i (V-V_I) dt $$\n", "\n", "We can integrate this differential equation directly." ] }, { "cell_type": "code", "execution_count": 42, "id": "4480a193", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KJEmSlKgMz7v47nfhoYeirkKSJEmJyraNXXz2GRx1FKxYAZ06RV2NJEmSGsu2jSbUvn24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\nf82aNQwbNqz2c25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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "Vi = -55\n", "V = 30\n", "Vs = []\n", "dt = 0.01\n", "for i in range(1000):\n", " Vs.append(V)\n", " V += -(V-Vi)*dt\n", "plot(Vs)" ] }, { "cell_type": "markdown", "id": "85529d81", "metadata": {}, "source": [ "What we have done here is to convert a _differential equation_ into a _difference equation_ in order to solve it numerically. This is a common approach to solving differential equations (although there are many others)." ] }, { "cell_type": "markdown", "id": "32984fb4", "metadata": {}, "source": [ "# Action Potentials" ] }, { "cell_type": "markdown", "id": "288141a3", "metadata": {}, "source": [ "These components turn into a kind of \"flip flop\" circuit because of the presence of\n", "_voltage sensitive channels_.\n", "\n", "- sodium channels open in response to a rise in voltage\n", "- because sodium channels open, the voltage rises further, causing more sodium channels to open\n", "- this is a runaway feedback mechanism\n" ] }, { "cell_type": "markdown", "id": "ed7dbdf8", "metadata": {}, "source": [ "To reset the whole circuit, the sodium channels close after a short amount of time\n", "and potassium channels open." ] }, { "cell_type": "code", "execution_count": 16, "id": "3db20764", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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MVlYWN998M15eXvnWTU5OZsWKFfj5+HJTt65ogDPnnWddd/L3ppUcjj1B447d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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "figs(\"action-potential\")" ] }, { "cell_type": "code", "execution_count": 12, "id": "5fa25577", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Aw8iL8Fob2DC8Zaifjx+dHa/j3GS02fIzskvM5kY+fiozYaSk8qE4RWkcgYbB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"text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig(\"conductances\")" ] }, { "cell_type": "markdown", "id": "782cfe6d", "metadata": {}, "source": [ "# Hodgkin-Huxley Model" ] }, { "cell_type": "markdown", "id": "fcc7c035", "metadata": {}, "source": [ "(Differential Equations)\n", "\n", "We can convert this model into a set of differential equations:\n", "\n", "$$ C\\frac{dV}{dt} = -I_{Na}-I_K-I_l+I_e $$\n", "\n", "Here, $I_e$ is some external current, say from a synapse. And $I_l$ is a \"leak current\" accounting for all other ions.\n", "\n", "Expanded, this turns into:\n", "\n", "$$ C\\frac{dV}{dt} = -g_L (V-V_{Na}) - g_K (V-V_K) - g_l (V-V_l) + I_e $$\n" ] }, { "cell_type": "markdown", "id": "649daf8f", "metadata": {}, "source": [ "(Hodgkin-Huxley with Time and Voltage Dependences)\n", "\n", "$$ C\\frac{dV}{dt} = -g_L(V,t) (V-V_{Na}) - g_K(V,t) (V-V_K) - g_l(V,t) (V-V_l) + I_e(t) $$" ] }, { "cell_type": "markdown", "id": "a6ba2c48", "metadata": {}, "source": [ "Note that this is basically just the equations governing a simple electrical circuit composed of batteries, capacitors, and (variable) resistors. We're in electrical engineering and circuit theory territory now.\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "9f7b0aa6", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VFVV6/3K5HC4uLlCr1bhw4YJR/9DVV3XiHdNqtdi7dy8sLS0RGBgIiUSiN0i0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\nCiGEDyR8hRDCBxK+Qgjhg98A81k5gVz/53gAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Hodgkin-Huxley Equivalent Circuit\n", "figs(\"hhmodel\")" ] }, { "cell_type": "markdown", "id": "85ad47b1", "metadata": {}, "source": [ "(Time Dependence of Conductances)\n", "\n", "The conductances themselves are somewhat complicated as well. As we saw, channels can be active or inactive. The true Hodgkin-Huxley model uses a complicated form for activation/inactivation using multiple variables. Here, we are using something simpler.\n", "\n", "We represent the fraction of active channels of some type as another variable $p$. The conductance is then \n", "\n", "$$g_i(t,V) = p_i(t,V) g_i^0$$\n", "\n", "Here, $g_i^0$ is the conductance in the active state (assuming zero conductance in the inactive state)." ] }, { "cell_type": "markdown", "id": "80d35708", "metadata": {}, "source": [ "(Differential Equations for Active Fraction)\n", "\n", "These equations are then governed by another differential equation:\n", "\n", "$$ \\frac{dp(t,V)}{dt} = \\frac{p_\\infty(V)-p(t,V))}{r_p(V)} $$\n", "\n", "This is saying:\n", "\n", "- after an infinite of time, at this voltage, there is some fraction $p_\\infty(V)$ of channels that would be active\n", "- the number of channels converting from inactive-to-active or vice versa is proportional to the difference between the current fraction of active channels and the value it would have at infinity" ] }, { "cell_type": "markdown", "id": "5013a99b", "metadata": {}, "source": [ "(Confused?)\n", "\n", "Let's thing about this again at the level of individual channels." ] }, { "cell_type": "markdown", "id": "b11cd9f5", "metadata": {}, "source": [ "(One Channel)\n", "\n", "- each channel can be in two states (or three states)\n", "- channels transition between states as a continuous Markov process\n", "- transitions are given by a transition rate\n", "- the transition rate gives the number of transitions per second\n", "- transition rates are voltage dependent\n" ] }, { "cell_type": "markdown", "id": "bcb9f617", "metadata": {}, "source": [ "(Many Channels)\n", "\n", "- consider a large population of $N$ channels\n", "- let $n_1=p_1 N$, $n_2=p_2 N$ be channels in states 1 and 2\n", "- let $\\rho_{12}$ and $\\rho_{21}$ be transition rates\n", "- the total number of channels transitioning $1\\rightarrow 2$ per unit time is $n_1\\rho_{12}$\n", "- we can write this as $dn_1 = n_1 \\rho_{12} dt$\n", "- we can also divide by $N$ and write it as $dp_1 = p_1 \\rho_{12} dt$\n", "- after a time, we reach balance, where $n_1\\rho_{12}=n_2\\rho_{21}$\n", "- this is the $p_\\infty$ above\n", "- for voltage-sensitive channels, transition rates are functions of $V$" ] }, { "cell_type": "markdown", "id": "d511c2a3", "metadata": {}, "source": [ "(Differential Equations)\n", "\n", "If you make $p_1$, $p_2$ continuous and work through this, you get Hodgkin-Huxley-style equations.\n", "\n", "Note that sodium channels can be in three states and potassium channels in two states." ] }, { "cell_type": "markdown", "id": "9b8d9a6f", "metadata": {}, "source": [ "# Simulating Hodgkin-Huxley" ] }, { "cell_type": "markdown", "id": "17ad8680", "metadata": {}, "source": [ "Here is a very rough simulation of these equations, using voltage dependent rates and voltage dependent channel fractions.\n" ] }, { "cell_type": "markdown", "id": "ef30bea8", "metadata": {}, "source": [ "Let's start with some parameters:\n", "\n" ] }, { "cell_type": "code", "execution_count": 233, "id": "4d42e6c2", "metadata": { "collapsed": false }, "outputs": [], "source": [ "N = 50000 # number of time steps\n", "dt = 0.001 # size of time step\n", "t = 0.0 # starting time\n", "V = -60 # starting voltage\n", "pK = 0.0 # starting fraction of potassium channels activiated\n", "pNa = 0.0 # starting fraction of sodium channels activated" ] }, { "cell_type": "markdown", "id": "7d3c47b8", "metadata": {}, "source": [ "The target fraction of channels for voltage gated sodium channels above threshold; we make this a parameter to \"poison\" the model later by preventing activation.\n", "\n" ] }, { "cell_type": "code", "execution_count": 234, "id": "6734567c", "metadata": { "collapsed": false }, "outputs": [], "source": [ "pNai_active = 1.0" ] }, { "cell_type": "markdown", "id": "43e853d2", "metadata": {}, "source": [ "We start by updating the conductance from the voltate dependent sodium channels.\n", "We do this by first updating the fraction of activated channels (`pNai`) and then updating\n", "the actual conductance.\n", "\n", "The actual Hodkin-Huxley model uses more complicated voltage and time dependencies, but we just use simple thresholds and corresponding rates.\n", "\n", "The parameters are arbitrary. In practice, they are found by fitting actual observed behavior of neurons, in addition to making sure that all the units work out correctly and are reasonable.\n", "\n" ] }, { "cell_type": "code", "execution_count": 239, "id": "623822c6", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def update_gNa():\n", " global V,pNa,pK,t,dt,gNa,gK,pKi,pNa\n", " # compute target fraction active at this voltage\n", " pNai = 0.0001 if V<-40 else pNai_active\n", " # compute rate of conversion for voltage\n", " rNa = 11.0 \n", " # compute the actual fraction active\n", " pNa = clip(pNa+(pNai-pNa) * rNa * dt,0,1)\n", " # update actual conductance\n", " gNa = pNa * 1.0 + (1-pNa) * 0.0001" ] }, { "cell_type": "markdown", "id": "b88746de", "metadata": {}, "source": [ "Now we do the same for the potassium channels.\n", "\n" ] }, { "cell_type": "code", "execution_count": 240, "id": "1b16cdc2", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def update_gK():\n", " global V,pNa,pK,t,dt,gNa,gK,pKi,pNa\n", " # compute target fraction active at this voltage\n", " pKi = 0.001 if V<40 else 1.0\n", " # compute rate of conversion (example is unphysiological)\n", " rK = 1.0 if V<40 else 1000.0\n", " # compute the actual fraction active\n", " pK = clip(pK+(pKi-pK) * rK * dt,0,1)\n", " # update actual conductance\n", " gK = pK * 5.0 + (1-pK) * 0.0001" ] }, { "cell_type": "markdown", "id": "e7cd010c", "metadata": {}, "source": [ "In the main loop, we update the conductances, compute the ionic current, and inject the external current. Then we update the voltage.\n", "\n" ] }, { "cell_type": "code", "execution_count": 241, "id": "5bc8e518", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def update():\n", " global V,pNa,pK,t,dt,gNa,gK,pKi,pNa\n", " update_gK()\n", " update_gNa()\n", " gl = 0.1\n", " ionic = gK*(V-(-75))+gNa*(V-55)+gl*(V-(-60))\n", " external = 300.0 if (t>1.0 and t<1.1) else 0.0\n", " dV = (external - ionic) * dt\n", " V = clip(V+dV,-100,100)" ] }, { "cell_type": "markdown", "id": "f2f15947", "metadata": {}, "source": [ "Let's run this in a loop and plot the result.\n", "\n" ] }, { "cell_type": "code", "execution_count": 242, "id": "9c248cb0", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 242, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AAABAaIwI5GiYQY6Pt25U4vU6Ow4AAACExvWB7PNFx41CJNYhAwAAmMD1gXzypBQXJw0e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\nAhkAAADwQyADAAAAfghkAAAAwM//A7yZCKkcJbLhAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Vs = []\n", "pKs = []\n", "pNas = []\n", "for step in range(N):\n", " Vs.append(V)\n", " t = step*dt\n", " update()\n", "ts = arange(N)*dt\n", "ylim([-80,50])\n", "plot(ts,Vs)\n", "#:h:1.5" ] }, { "cell_type": "markdown", "id": "4ada14e6", "metadata": {}, "source": [ "That looks like an action potential, except a little jagged; that's the result of using different nonlinearities from the \"true\" Hodgkin Huxley model.\n", "\n", "Still, this might just be a passive response to the injected current. To see what it is, let's \"poison\" the sodium channels so that they can't be activated by voltage anymore." ] }, { "cell_type": "code", "execution_count": 245, "id": "9598ecc5", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 245, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Mw9DNN98sPz8/bdmypUX7fX19lZ2draKiIgUEBGjcuHEu/46nqz88PFzXX3+9evXqpcDA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\nAOvq8PD8u9/9TpmZmY75fwc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Nuu222/S73/3O002CB/z617/W+vXrFRERoV27dkmSiouL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\neAYAAABc9P8A/zAZdu07TOgAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# action potential\n", "pNai_active = 0.001\n", "xVs = []\n", "for step in range(N):\n", " xVs.append(V)\n", " t = step*dt\n", " update()\n", "ts = arange(N)*dt\n", "ylim([-100,100])\n", "plot(ts,Vs,label=\"Na-channels active\")\n", "plot(ts,xVs,label=\"Na-channels inactivated\")\n", "legend()" ] }, { "cell_type": "markdown", "id": "2d6ecfd8", "metadata": {}, "source": [ "# Spatial Propagation of Action Potentials" ] }, { "cell_type": "markdown", "id": "fd991f52", "metadata": {}, "source": [ "(cable theory)\n", "\n", "The above differential equations do not take into account any kind of spatial dependencies, so they don't actually describe the propagation of the action potential. To do that, we need a second kind of model, namely a model of how signals spread along an axon.\n", "\n", "Axons are essentially a conductor (the cytosol or contents of the cell) wrapped by an insulator, contained in water.\n", "\n", "This is the same setting as an _undersea cable_, and the resulting electrical theory has been developed for transatlantic cables.\n", "\n" ] }, { "cell_type": "code", "execution_count": 17, "id": "1eba6572", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UYO0K+TKF9Zi6fx7ptc8++OZ5lSRr0nLKTtSDFEu0P7FmWNZQ1rw1yVEbdG2w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\ncrJZHXpED6lBp9Npx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"text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# cable theory\n", "fig(\"membrane-circuit\")" ] }, { "cell_type": "markdown", "id": "2ece3cca", "metadata": {}, "source": [ "(cable theory)\n", "\n", "If we go to the spatial and temporal limit, the structure above can be described by\n", "a partial differential equation:\n", "\n", "\\begin{equation}\n", "\\frac{\\partial V}{\\partial t} = \\frac{\\lambda^2}{\\tau}\\frac{\\partial^2 V}{\\partial x^2} - \\frac{1}{\\tau}V\n", "\\end{equation}\n", "\n", "You can derive this equation either from electrical theory, or simply by thinking about how voltages and currents flow in an electrical circuit.\n", "\n", "Let's simulate this partial differential equation." ] }, { "cell_type": "markdown", "id": "29a059d5", "metadata": {}, "source": [ "We start by generating an initial distribution of voltages.\n", "\n" ] }, { "cell_type": "code", "execution_count": 33, "id": "aee61289", 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WvObAgQPR0NAwwWUCAMDkqhiUV61aFV1dXdHd3R19fX2xffv2aGtrG3FNW1tb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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.ndimage import filters\n", "V = zeros(1000)\n", "V[450:550] = 1.0\n", "V = filters.gaussian_filter(V,5.0)\n", "plot(V)\n", "initial = V" ] }, { "cell_type": "markdown", "id": "28365b32", "metadata": {}, "source": [ "Now we let the differential equation evolve, with small time steps. We're just setting all the parameters to 1 and don't have any external voltage applied.\n", "\n" ] }, { "cell_type": "code", "execution_count": 36, "id": "b45ca16f", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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7w/HjvJaRwX0pKdzTpQvT/fzwsuDaWp3uKq9bBwMHnvl2G2cnOhkH8Vv6b4yP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EUBgR8KQSgLCFwEjS4Xvd3YSFOPHqWwrCx6tKKC9plM5DcYWA6lWbOYleSJJ1h0O8/Tqc5T9OJX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\nz+sLbiUSSCWSnn1isRgisRgiM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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "V = initial.copy()\n", "for i in range(100001):\n", " dV = -2*V+roll(V,-1)+roll(V,1)\n", " V += 0.1*dV\n", " if i%10000==0: plot(V)" ] }, { "cell_type": "markdown", "id": "f943626e", "metadata": {}, "source": [ "The usual neurophysiological experiment is to inject a current, which leads to slightly different boundary conditions.\n", "\n" ] }, { "cell_type": "code", "execution_count": 37, "id": "41c209af", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Z7eUsliEvDAz5GR0OF53zJ3mk/v16mTk2Jy+nRo37MN+RwgQao/NVAPrgpmC2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whc8gim8FAACQKpK1kfxpMebcI1Qr0YJQdwsV6SrpDhMwsl89nXP/3GG642ixwwEYdATz7nxguu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\nI8CWhcFgbBNG5rRYaQeUq80e1gcy4xh4KlK/wi49l27K/2jBe6uWr7ln5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"text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# signal spread with current generator\n", "fig(\"membrane-signal-spread\")" ] }, { "cell_type": "code", "execution_count": 15, "id": "8bb1fe3a", "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 5 }