{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to make a Voxelised DNA Structure\n", "\n", "DNA Structures are built from [L-string](https://en.wikipedia.org/wiki/L-system) seeded fractals.\n", "\n", "L-strings and L-systems provide a grammar that can be used to generate a fractal. In this work,\n", "Hilbert curves are generated that are then converted into cubic placement 'voxels' for use in\n", "modelling." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import sys\n", "from pathlib import Path\n", "\n", "try:\n", " # The voxelisation library produces the cubic voxelisation that\n", " # can be used to build DNA\n", " from fractaldna.structure_models import voxelisation as v\n", "\n", " # The hilbert module produces and handles L-Strings\n", " from fractaldna.structure_models import hilbert as h\n", "except (ImportError, ModuleNotFoundError):\n", " sys.path.append(str(Path.cwd().parent.parent.parent))\n", " from fractaldna.structure_models import voxelisation as v\n", " from fractaldna.structure_models import hilbert as h\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Producing L-Strings\n", "\n", "The `hilbert` model encodes a few basic fractals which can create Hilbert curves. These are\n", "\n", "```\n", "h.X: n>XFX&F+>>XFX-F>X->\n", "h.A: B-F+CFC+F-D&FnD-F+&&CFC+F+B<<\n", "h.B: A&FnCFBnFnDnn-F-Dn|FnB|FCnFnA<<\n", "h.C: |Dn|FnB-F+CnFnA&&FA&FnC+F+BnFnD<<\n", "h.D: |CFB-F+B|FA&FnA&&FB-F+B|FC<<\n", "```\n", "\n", "Reference to these are all stored in `hilbert.SUBSTITIONS`.\n", "\n", "The L-String language works as follows:\n", "\n", "- interpret `F` as DrawForward(1);\n", "- interpret `+` as Yaw(90);\n", "- interpret `-` as Yaw(-90);\n", "- interpret `n` as Pitch(90);\n", "- interpret `&` as Pitch(-90);\n", "- interpret `>` as Roll(90);\n", "- interpret `<` as Roll(-90);\n", "- interpret `|` as Yaw(180);\n", "\n", "To 'iterate' an L-String, replace any reference to a subsititution with its value." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "h.X: n>XFX&F+>>XFX-F>X->\n", "h.A: B-F+CFC+F-D&FnD-F+&&CFC+F+B<<\n", "h.B: A&FnCFBnFnDnn-F-Dn|FnB|FCnFnA<<\n", "h.C: |Dn|FnB-F+CnFnA&&FA&FnC+F+BnFnD<<\n", "h.D: |CFB-F+B|FA&FnA&&FB-F+B|FC<<\n", "\n", "h.X iterated once: n>XFX&F+>>XFX-F>X->Fn>XFX&F+>>XFX-F>X->Fn>XFX&F+>>XFX-F>X->-Fn>>n>XFX&F+>>XFX-F>X->Fn>XFX&F+>>XFX-F>X->&F+>>n>XFX&F+>>XFX-F>X->Fn>XFX&F+>>XFX-F>X->-F>n>XFX&F+>>XFX-F>X->->\n" ] } ], "source": [ "print(\"h.X:\", h.X)\n", "print(\"h.A:\", h.A)\n", "print(\"h.B:\", h.B)\n", "print(\"h.C:\", h.C)\n", "print(\"h.D:\", h.D)\n", "\n", "print(\"\\nh.X iterated once:\", h.iterate_lstring(h.X))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Drawing Fractals\n", "\n", "The function `generate_path` will generate a list of XYZ-points for a fractal L-String as below,\n", "which can then be plotted in matplotlib" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Points seperated by 1 unit, no intermediate points\n", "[array([0, 0, 0]), array([1., 0., 0.])]\n", "-\n", "Points seperated by 1 unit, 2 intermediate points\n", "[array([0, 0, 0]), array([0., 0., 0.]), array([1., 0., 0.])]\n" ] } ], "source": [ "print(\"Points seperated by 1 unit, no intermediate points\")\n", "print(h.generate_path(\"F\", distance=1, n=1))\n", "print(\"-\")\n", "print(\"Points seperated by 1 unit, 2 intermediate points\")\n", "print(h.generate_path(\"F\", distance=1, n=2))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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uxq5du9DY2Ih77703qLWXEISQdziOqwhxyMUAHiXep/9HHMdlchy3hBAS2C4IpzHB/Wvbvb29MJvNqKqqCkruqVk7vnugDR8PGXBJwxL8eOdyiHgXOnWBa9pCjI+PY3h4GHV1dbDZbDAajXF5DyzJFkdf9ECvE09QMqakpCAlJYXd3FRS29nZyQYm0gy9VCoNeU7h9NR4Ih4E75o048cvdeN7n6rGhopMAIE/U5rEvOmmm3DgwAG8/fbb6OzsRFpa2rxeX4BiAKOCv4+d+Lczi+DC2rbFYkFbWxuKioqgUqmCfplvn/BJc7h53HPJSuxp8NapHQ5PUNEKACaMEYbkdrs95O9Eg0CebKcjhG2g5eXl4Hk+oGacZuj9qw2LNUT/cFCPb+/vgMXpwZDOyggeDi6XC0qlEo2NjTG/dgAE+oBC3jinHcGFte2JiQmMjIxg9erVSE9PZ91GQrg8PH7/Zj8een8Yywu8PmnVeYHr4P6gIXlJSQlKSkrYDSgSiea9Kk5PT3sVbnLv0114usVu+BAJGUUikU+TiNvthsFgwMzMDPr7+5mijEpqExVKzyf0f6ltCj9+sQdZKiksTo/PcMhTVA4bA1Aq+HsJAHWoXzhtCC6sbXs8Hp/aM90Li0QiJkoAgDG9Dbfub0Xz2Cz2ri/GHTuWQeE3wTMYwdVqNYaGhtjDQ4j5EJDneXR1dcFut0OlUmFkyPv9TGmmodMp2HTQxYxYVluJROIjIaWKMiowoQYYZrMZKSkpp7SeTAjBwx+N4ff/HkRTeQa+saUc1/6thRE83HefQEnwPwDs4zjuSXiTa8ZQ+2/gNCG4sLY9OzuLjo6OOXJQwJesb3Ro8MMXOsATgns/X4eLVhUEOvUcgtOQ3O12B82Sh1r1Q8Fms6GlpQUFBQVYunQpPB4PcpaUAv/+EHKFgjWMeDweNigwNTV10Ykn4hFd+CvKpqenMTo66uPMmp2djaysrAU1vfDwBL/+Zz8eP6zGjpV5+OWu5eiY9PYqKKTeSMDj8YTt2ouF5BzHPQFgG4BcjuPGAPwUgPTE+R4A8Aq8JbI+eMtk14Y756InOE2k8TyPkZERTE1NoaGhgU3uFEIsFsPu8poy/P3jMawuSse9l69GafbcYymEX4LFYmFTS0pLI1OyRQq3242jR49i5cqVyMrK8uloAgClKgXLlnnbSkdGRmA2m9l/6c2+mPTj8X7oSKVSpKamYtmyZcyZVa/X+/i2UcInSlLrcPO444Uu/LNLiy9vKMZ3P1UFEcfB7vJu+yIluNvtjqltlxDyhTA/JwBuiuaci5bg/pM729vbkZKSgg0bNgTdU40Znbjj1QkMGly49pwy3Pqp4D5p/piYmMDg4GDAkNwf0azghBAMDAzA4XBgy5YtrHzELIcC1MGlUqmPSaHFYoFOp2NDF6icNFLDh3gjESGo8JxCZ9bS0lJmeqHT6TA+Ps5cXajAJB6fgdHmwjefacfR0Vl891NVuHpjCfuZ3eX9rpUSL2mD+eJT0AhkMWBREpwOGpDJZNDpdOju7sayZctYS2QgvNgyiZ/8oxsijuD+K9fgguXBj/V/LZvNhsnJSTQ1NYUt5wCRr+AulwstLS1ITU2FSqUKWBs+OXww8PmFNzvVjxuNRuh0OgwPD/t0SyVaTkqRCIKHSrIJTS+opJZ+BkNDQ8zkgWboo/0MJmftuPGJNgzrbPj1nhW4aJWvrNnu9q7gSpmYXWuoFdpisYRVNy4UFhXBaW3b4XDg6NGjyM3NhdFoDCk3tTk9+MWr3dh/VI01xan4RoMS2yIkt9VqRUtLC8RiMRoaGiK+aSMhOHVzqa6uRkFBAWZmZgIex4QuESpd/LPTVE46OTmJnp4eyOVyFs6rVKqE7d8TuYKHQzDTC41Gg76+Pp8W0HDfU4/Ggq8/2Qqr04P//UJdwDKYzeldwSMN0ZMreAAIa9sOhwMWiwUFBQVYv3590C++V2PGLU+3ol9rwY1bKnBtUwGGBwcier3JyUn09/dj9erVaG9vj+qGDReij42NYXR0dE5rasBzBegHj9bwQSgntdls0Ol0TDpJjR4iUVJFikSU8OYTFQQyvdDpdBgbG2MPcbqlET70Dg0b8M1n2qGSivHIl9cEHA4JADa6B5dERnCz2ZxcwYWgtW1CCKampjAwMAC5XI7q6uqAxxNCsP+o1yctRSbBQ19ei3Orc2C1WsPujXmeR3d3N+x2OzZs2BBRSO6PYASkGXie54O2jvoj3kIXpVKJ4uJiNkbIZDJhYGCAjV+ioWxmZmbM/m0LHaJHC7lcjiVLliA3NxcOhwM1NTU+D73U1FS0GKT4zbtTKM1S4oG9q7EkhIGm3U1X8Mj24DQxuhhwSgkulJtS4jmdTmzYsAGHDh0K+Dtmuxs/fakTL7VO4ZyqbPzm0lXIS/PubcOtrPRpXlhYiBUrVsR8kwZ6HXruoqKikBn4OediwwcTY/hAhwgoFArk5ubCYDCwmz1W/7ZEJ9niBbpXpg0iVFL74LsD+MO741iWJcZNqz2YnRyG2OEN6QM98KPNotOHyGLAKSO4sLZN5ab+ijF/tJ/wSRvV23DLBdX42nkVbA8LePdm/ko2iqmpKfT19WHVqlUBw9VobjB/Ak5PT6OnpyfouUO9Bsdx4ODbD54o+LeDUjeTsbExmEwm1vpIu8OCIREheiKUbP7n5AnBb98cwKMHx/Gp5bn41Z4VkIrAJLWjo6M+Nsw0yrG5eCgkIsEs9/BJtrN6BRfKTcfHxzE+Po7Vq1cHFeUTQvD3g6O4541eZJ/wSVtfnjXnuEArK40MbDZbUN9zSthoCU4IQV9fH4xGY0hP9XAQi7iEt4sGgr9/m9VqhU6nY7Vnof+6/8p2uqzglOBON48fvdiNVzum8YX1Rbjtwmq2OPhLammGnppeaGYAuYRj5/N4PCFLc2dtFl1Y26ZWR0L30UDHz9rd+MHzHfhX1zS2LfP6pGWnBCaSP8Gpciw/Pz9kSH7SXSWyFUQkEsHtduPIkSPIyMhAY2Nj2Jsz1ENExJ36dlGO41h3GK09C1c2AGz/noiJIYloF6Xfqcnuxi372/HxsBHfvqAS124KHiX62zA7nU483t8JCUdw+PBhyOVyEEJYhj7QeSwWS9COxoXGghFc2LdtNBrR0dERcHInhVgsxpFhHb7/XCc0Jgdu374U15xTFvLGEv5Mo9Ggt7eXKcdCIVrpqdFohMViCVub97+2UMaLp2IFD4VA5ThaitLr9fB4PBgdHWVeZfMlPM/zcRft8DwPgxP44d+aMai14q7dy7GrLrBkORhkMhkgliFdJceGDU2w2Wzo6enBzMwMJicn2baGSmo5joPFYkFpaWn4kwvAcdwOeN1axAAeJIT8yu/nGQD+DqAMXt7+NyHk4XDnTTjBhYk0QgiGhoag1WrZjK5A4HmCVwZdeObVY1iSqcTj161HfUlkTRiEEHR3d8NsNkccNkdKcDrQQK1WQ6VSRUxuIAzB/UL0xQhhKcpkMmFoaAhisZhpx+n8tFjMHoDEhOj90xb84N86WN3A/1yxGpurQj/og8Hm8rAMulKphEqlQm5uLjIzM9m2hppetLW1oaurC1VVVRGfn+M4MYD/AXAhvB1jhziO+wchpENw2E0AOgghuziOywPQzXHcY4QQZ6hzJ5Tg/nJT6oYSanKnzuLE959tx7t9dnxqeQ7uvmQ10pWRlbJsNhusViukUinWrVsXeSY7AoJ7PB60t7dDJBKhqakJBw8ejOjcFP4EF16biAP4BJsuxpM8hBBIpVIUFRUxrzIqJaXz02iiKisrK6JyXLyTbEdGjNj33ACkIuCRLzegtjD2PbHd5YFSevLaaBY90LZGLBbjpZdewv/7f/8Pf/jDH/CXv/wFa9asCfcSGwD0EUIGAOBEt9jFAIQEJwDSTviypQLQAXCHO3HCCE4TaR9//DGqqqrQ09OD5cuXs3bBQDg4qMN3D7TDYHPh+oZU3PipGqRFSG6ayZbL5VE9PYHQk0qAk00opaWlbM5YtAgXonuCkD8eSISji/AahWYPdH4adWcdGhqCSCRiyrNg5bh4ruD/7JrG7c93IT9Vip9uy50XuQGvFj1VYMYZrEwmEonQ2NiIoqIi3HXXXairq4v0PQVyavH3WvsjvO2iagBpAK4ghIQNO+NOcP+Q3GKxYHh4GOvXrw8aunl4gvvfHsT/vD2AsmwV/vylBri1wxGFzXTMrslkQlNTEw4fPhz1NYcycJiammKKt3BNKKEgJDi9ZoPBgOzsbHAgc6Sqp3oPHgrhyOhfjnM6naxRxGQyQalU+ijLIjlnpHj80Dh+9UY/6orT8JNt+VCKApdNo4HNzSPPbwWPROgSRedfJE4t2wEcB3ABgGoA/+Q47l1CyGyoE8eV4EK5qc1mQ2trKziOC5llnpp14HvPtuHgoB4XrynETz+zAilyCTr1wWvaFHa7HS0tLcjJyfF5jWhvlmDlNerzFmkTSihQgjudTjQ3NyMrKwsrVqyAwWAACI/JqSl0dLiQnZ0dF8eYRCLaa5PJZAHLcXTfmp6ezqaszOea7ntrCA99MIptS3Pw60tWQD89BZ6ff9hvc3p8jEIiqYNH6cMWiVPLtQB+daJltI/juEEAKwB8HOrEcSM4IQQOhwOEEExOTmJoaAgrV65ER0dHSOHK9X8/BpvTg19dshKXNJw0cAi3L9Zqteju7kZtba1PSSLamnag13I4HGhubkZOTk5Ue/lQ4DgOs7Oz6O3txbJly5CTkwOn04klS5ZAJh1Gbl42SkoKodPpoNFo4HQ6WWgbS4dUohHrZxJo30o/l8HBQQwPD7NkXaTv2+Xh8dOXe/BiqwaXr12CH+yogUTEYSZO+3r7CaELRSRKtigJfgjAUo7jKgGMA9gL4Eq/Y0YAfBLAuxzHFQBYDiBs40XcCM5x3BwtNi17BCPc880TMNndeOHrm3x80oDgqjQqLjEYDAHDfrFYHHXCRkhwvV6Pjo6OsPmCaGG329Hb24uGhgakpKT4PFA4zquyovvYzMxMTE5OIj09nZX75HI5cnJy4uJBPl/Ec79Mp6ekpaUx40y9Xs+mgUqlUrZ/D1SOszjc+PaBDnw4aMC+reX42rknS6nxKr3Z3b5+bOHur2iVbIQQN8dx+wC8Dm+Z7C+EkHaO42488fMHAPwXgEc4jmuFN6S/jRCiDXfuuIbobW1tyM3NZTO3gZPkCfTEk594KvqTGwhMcLvdzsz2g3WZRaI0CvY7Q0NDmJqawrp16+JmEyTU2K9bty7gFy/mOHj8ol6RSOTTIWWz2TAzM+MT1tIbf6FNHxKpRZdIJD7v2263s953oZVTdnY2TC4O33iyDT0aM37+2WW4ZI2vpiJemXm7i/fJood7/9HefyfO+Qq8lkzCf3tA8P9qAJ+O6qSIM8HXrl07Z39GiRqI4EqpGC4PgdvDQyIWBfw9ipmZGXR1dWHFihUseRMIsfqlDQwMID09PWQJL1rQUJ/WTIMaGnDhm02USiXT6tOwVqfTYWRkBBzHsZs+PT094av7QmrRFQqFTznObDZDp9Ph34fa8OuDVphdwC93lGL7qrnRVjwI7vLwcPPEZw8e6vNdbLmTuBI80I0pkUjgdrsDCk5UJxwybC4eaQEITjPx/f390Ov1ITPxwt8Ll5wTwmw2Y3x8HIWFhaitrY3498LBYDCgvb2dhfotLS0hhS6eKLSqwqGBVVVVPg6lXV1dC+Lhdiq06BznHSzQbyT45cfjEIkkuHdPKQokdhw/fpyp7+JpxWxz+Zo9RAKOWzxTRuNOcH+EIhx9KtpcnjlD/8RiMSwWCw4fPozMzMyQxg9CRLOCUx+2JUuWRJ3BDZXMo4YPQrVeoIffSV82bl6+6EKHUn8PN5fLxWydcnJyYu4BF+JUtov+p2cG33uuEwVpMjzwhTqUZp3cSvlbMbvdbhBCoFAoYs5b0FZR4R483HezmFbxhG/eQhGcelzZnHN/brFYMDY2hvr6+qiSXZEQ3N/0YXx8POqwnopjhIThed7Hcln4s1Ck5bj4GT5wfh5uHo8H3d3dsFgsOHr0KGumCJa0igSnyvDh6aNq/PK1PqwsTMMfr1iFHL+mI/8HHXXqoXmLWJxZ/VfwcCOWnE7nvEuq8UTCCS6RSIISXCVYwSmoC+nk5CTy8/OjzmTThFkw2O12NDc3+3SYxbJv9ycsPW9BQQHKy8sD9n0HI7hYxCVMqkoND1JSUpCXlweHw4GZmRkfDTkN5xNlRxwJQj00CCH4n3eG8b/vjeC86mz896W1bHsXDPR7XbJkCataCJ1ZeZ4POUqJwn8FP516wYFTHqJ7n4rWEyu40+lES0sL0tPTsXLlSqjVIaeyBAQtkwUCTdT51879J6JEgkCltVAJwNAreGKbTYSvK5fLA2rI29rawPN8RDXohVzBXR4eP3+lF8+3TOHSNYX48c6lkIgie22h4szfmZWOUqLDJqRSKXvvwmET/it4JIaLi6UXHFigEJ2a/PuDPoXtLg90Oh06OztZC6bJZIopGx5oNSaEYHBwEFqtNqBDa6wrOB3GoFarw5bWAhGcEkXMJX4+eLBrEmrI3W439Ho9q70rFAq2ugv3sAu1B7c6PfjOsx14r1+Pr59Xhq+fNzcyCoVQYb//KCVq1Og/bGLWcqKLTODHdtau4IEQcg9+4kMbHFVDrLX6kC9cqB3q9YRkdblcaG1thUqlwvr16wN+4bEQiuM4dHV1QSwWo6mpKWzyKlSSzbuCR/XyCYF/DdpfUkoHLrjd7oQTfMbixE1PtaFz0oyf7lyKy9Yuifqc0WTRqVHjkiVLfBKVfUPjAADNxBimld799eky9ABYgBBdIpHA6QzcsirhvES0OFxo2uJbf4623EUhfDCYTCa0traiqqoqqLEE/Z1oVnC73Q6DwYDy8nJUV1dHdLOHahcVc75lssVg+ADAx6xQOHBBo9EA8Nob5eTkRGXYGAxCgo/obLjxyVZMm5y477JV2LYsuO4hFGItkwkTlUtMCuBwFwpzszE7OwutVguXy4WBgYGAwyZiCdHDmT2cOGYbgHvhnVWmJYRsjeTcpyxE1+v16OloAwBk5RbM+SLmQ3Dq9TY8PIz6+vqwH3g0BKdbibS0NCxZsiTiGzu04cPcEH2xQejwolQq4XK5oFAofAwb51t75zgOreOz2Pd0O3hC8NCX6lFfHHsDSjzq4HRsUUFuFooyliArKwvT09NITU1lwyYUCgWysrKQnp7OPotIceIeD2n2wHFcJoA/AdhBCBnhOC4/0LkCYcFDdOrqotFo0LR2DfDOxyzJFur3ooFarYZSqQw6HdQfkRCcEILh4WFMTU2hsbERPT09Ua364frB/UP0xbCCBwMhBBKJJGTtPRb/9Xd6Z/Dd5zqRnSLDA3tXoyIn+NDISDHfh6XNL4vu8Xggk8l8hk1YrVbo9Xo8++yz+N3vfofc3FzU1dXh05/+dNgq0McffwyEN3u4EsCzhJARACCEaCK9/gUtk1FXl5SUFDQ1NeGEn7xPmYwiljDVZrNhaGgIKpUK9fX1cXN08XdzEYlEUV+f//EOhwNTU1PIyso6Ybq4+EL0YPA3SAxUexf6r4drGAGAd8bc+Ns/27GsIBV/umI1clNPXclOiEiy6HQrc+2117KFYHBwEIcPH8aOHTtCnn98fBwIb/awDICU47i34DV7uI8Q8mgk178gZTJakmhvb8fSpUvZk0/KEYhFXEChS7RPXuroUlxcDI/HM+9+cAqr1Yrm5maUlJT4GOlF27MtJK3RaERraytyc3MxNTUFi9kMsUQCnU4X1xFDpwr+hg+0YSRQ7V0qleKB90bwSIcLm6uy8LtLa5EiXxQDdwCcrIPLBWOLQoX9NpsNq1evxnXXXRfR+YPcQ/7/KAHQCG+7qBLAhxzHfUQI6Ql3/oR/kiKRCLOzs+jq6ppjtMhxHBRSUcAVPFIItepNTU2YnZ0NOugv1DUG+qBp3TzQQANaJosUlOBqtRrDw8NYu3YtJBIJOI5DRlszrA4ntFota5F0Op2w2Wxx62qLJ6Itk/k3jJhMJszMzKC5pRV/bXfg7TE3zink8IfLaiGXLh5yA96xRf5DD8J5okezBz9hARbO7GEM3sSaBYCF47h3AKwBcGoJ7nK5mHRz8+bNAZ98KqmYhUHRgob8aWlpTKsey97dn6w0TzA9PR20wSWWMHp8fNynrEarC2IRB5FYgmXLlgEAG3xPBxBQAcZ85onFM3E3nzo4rb1LlSn43SEL3h6z4IsNOdicNoPmY0d9au/BXHcXEjaXh0mqAe8KHqrhKdoselNTExDe7OEFAH/kOE4CQAZvCP/7SM6fsBDdaDSivb0dlZWVGBkZCRrWKGXigEm2cDAajWhra/MJ+YHYRCvC33G73Whra4NMJgtaN4/2dVwuF8bHx5GSksLGFAsfDiK/ZhOVSgWFQoE1a9bM2c/KZDJkZ2cjJyfnlBk/zDc/oLe6sO+pNrSqTfjh9hrsXV+EQ4cOYf369Ww6qn/tPSsra8H73gGwsUUU8Z5LduI9hTR7IIR0chz3GoAWADy8pbS2iM4f8ZVECEIIRkZGMDExgYaGBiiVSgwODgY9XikVs31OsPMJb2JCCMbGxjA2NhbQW30+BKf77UjcUyNdwc1mM1paWpiNcECTCi54u6j/fjYQAXJyckLaEyfaVTUajBlsuPGJNkzOOvD7z63EJ1eczDJzHBe09j48PMxKdZHU3mNRQQaC3eXxaRUNtwePRegSzuzhxN9/A+A3UZ0YCTBdbG5uhkwmw4YNGyKqQSql4qB7cBpu0ye3x+NBR4e3ehBs3FEoLXowiEQi2O12HDt2DKtXr0ZGRvghC5Ek2Wjir76+Hnq9PkSZDBG3iwrHA1MCzMzMYHBw0GfsjnAOdiIQy7k7Jkz4xlNtcHkI/nxlHdaWej/n4PoA3+kq1J3Vv/aek5MzJ2z2z/THCruL9zF7OKu16BzHoaamJqo3GCpEFxJcmM0ONYE0WokrLWvY7XZs2bIl4o6qUEk2ofadTlcxGAyhDR9iWGX9CUCz1XQONl3d47WaUcSygn8woMO3D3QiQyHBX75Uh6rck5FXpOfzd2eltXfhsAWaq4ifXZPv0INw3WRmszlaw8WEIu4helpaWlQhoVIqgt4aWMpKCU6bHyJZXaMJ0d1uN1pbW5khQDTtksFWcI/Hg7a2NkilUp89fKgHgpiLz2wyYbaa2jrRGVozMzNsKJ6wWyoWREvwf7RM4acv96A6V4U/7V2N/LS5q2201xOu9k4dgWjjSKzv1+bikR7B0AOKGBxVE4q4EzzYzRnsS/TuwQPf+CKRCAMDA3A4HHGfM0b3xhUVFSgqKsIHH3wQ9neECERYu91rHVRcXDxn+Fw4w4d4N5sIbZ04jmPlNmpemJ6ezvbuiTIoIITgoQ9Gcd9bQ9hYkYnff27lHOceetx8txP+uQq9Xo++vj6f2jt9v9E8yG0uD/LTTh4fCcEXQ/afYkHSkqGcVYOF6LR9Ly8vLypv8kjKZDQiqKuri9ls35+wtCc82DTT8IYPiVWySaVS5Obmsm4purrT0cB0LxtJ40gkhPTwBHe/0Yenjkxg56o8/GLXckjFgUPmeM8lA7zvNyUlBStXrmTvl+7fCSEsWeffLOIPr6Oq7x481PHhQviFxoIQnMpVgzmr+ifZKFkyMjJQVFQU1dM91LFUFGMwGCKOCIJBGClQD7ZQPeGhrosLIFVNJDiOY+YHwNzkVWpqKrN1CvQZhSO43eXB7S904c3uGVy7qQS3XFDJhCKBkGgDCeH7raysZKOQhc0iwWrvNr8seqiH0WKUFyckRPcHlasGc1alUlVhiW3dunUYHR2NueHEH7QvPCUlJeQopUjBcScHPTgcjqBZfeHxofbg/r7oC3mz+Cev/F1e6OpOLZlDXZvR5sLNT7fj+NgsbruwGl/aUBz29ROxgoc6p3AUMiGElR57e3vhcDh8au/+WXSOC+2YGu7nC40FWcHD2Ta5eQKbw4merk5IJBJWYoul5BUIdL8dri88GlA3l+LiYubtFgqhfh7IF/1Uwd/lxeVyzbFkdrvdAZOdaqMdX3+yDaN6G35zaS2210Y2P/1UmTgCoWvvQ0NDsLk8cFhMmJ2dDZs8I4QsulV8QUP0QKDGi+9/dAi1NRUoLj75xI/V1UWIyclJDAwMoK6uLm7ZTZPJxBr+q6urI/qdUCt4IKFLvG+UWAkklUpZayQtTXV1dWFoaAgjIyNsLzthE+Gmpztgd3nwv1+oQ1N5ZsSvEc6pNBbEGhUIS49lFZXg33gPqQop2744HA5MTEwgOzt7Tu3d6XSG9e33x2uvvYaLLrqoGyHMHgCA47gmAB/BOzZ4f6TnX7AQPRhRnXYLAKBy6QoUF/k6d8ynJ5wQ4jNWOF6ZYjpOmM7BjhShbmCxyLcfPN5Jtnidi5am0tLSUFhYiJSUFOj1evyzZQS//sAAlZTDf19UgrqC6Awf4iVKESIeYT9N/uZlZ2DlyhIQQvDRRx/B6XT61N5zcnKQkZERtYrN4/HgpptuAoCLEMTsAQA4jhMDuAdeOWtUWJCRlYFcXXieR1dXF+wmo/cY+dzkVKwEJ4TgyJEj4DgO69ati5jcoYhAE3Sjo6NYv349VCpV1NsH/4YWg8Fwwt8MCXVVTQQ4zjtH7JCG4K73jSjOUuHhL65GSZoYnZ2dOHToEPr6+qDT6SIy01gsK7gQtHyrkHijTEIIpFIpysvLsXbtWqxbtw7Z2dnQarX417/+hcsuu4z1YETyUP34449RU1MDQsgAIcQJgJo9+ONmAAcARGz0QHFK9uB0rndubi5WLK0CjrYG7AkXi8Ww2+1RvZbJZILFYkF1dXVU+226aga60WgDilwux7p162IyfBDebG63m40ystvt0M+44XJ7WA11MSVpAoHuNR/5aBS/fXMQ68sycN/lq04IQrKY8EQ4JZRmqmmTjBALnWSLFHZ3aLMHYe192bJlEIlE+M1vfoOf/exnWLZsGX7xi1+EPP/4+Li/XmKO2QPHccUALgFwAYCmaN/Dgofo1NOMeoir+7y929YAevRok2x0FFFqampMAxMC3RQ2mw3Hjx9HWVnZnPxAtKEvz/M+56M95q9M9YFMnZwcmpmZCbfbHVZUcapACMHr3Qb89s1hfLo2F3ftXsEMESjEYrGPLbHVasXMzEzAFtjFu4J770lVhEMPMjMzsWrVKjz44IMRnT9Cs4d74R0V7InlM1qwJJvdbsfg4CA0Go2PPXKo8UWRJtl4nkdPTw+sVis2bNiAY8eOzatllII+jOJh+CASieBwOHD06FHU1tay4Xg8z0MqEYOAY8MPjUYjpqamcOTIESgUCrZKJGqQYLQghGBQZ4dUzOE3l9SGrHFT0Ex1aWnpHFkpANZvEC8VWDxmg1N9hnAFD9dJFk0fRklJCRMa0X/CXLOH9QCePEHuXAA7OY5zE0Kej+Q1FqzBdnx8HLm5uXPG81Ihf6CW0Uj24E6nE83NzcjOzsbatWtjNn3wJzgdaBBoUAIQfSJsZmYGOp0OGzZsgFwuZ3tYAJBKxODJyYiF6uLXrVvnDeH1emZmSLPWoSaPJBqEEHgIgUTERURuf/jLStVqNTQaTVQtsOEQj+jnpB9bZEMPqO49UjQ1NaG3txehzB4IIZX0/zmOewTAS5GSG1iAEN1kMqGvrw8pKSkBx/NSGWCwED0UUanpA52GQjGfnnA6QNDj8YQcaBDpaxBC0NfXh5mZGdbW6C+GEHEilsAxm83o6Ohg5Te5XO4jQjEYDExqq1KpmOIs2vLMfEEIYiJ3IEilUqYy43mere7zaYGNa5ItQWOLJBIJ/vjHP+Izn/lMULOH2K/+xGvM9wShoFarMTQ0hJqaGhgMhoDHqEKE6KH24OPj4xgZGUFDQ8Ocp2aso4gcDgfa2tqQl5eHioqKsIqlcCu4x+Nh3Wr19fVobm7G0aNH2d6UdjnJJCLYXDy+9NDHqElx4LLNK5Cfn8u2AYQQ8DwPj8fj0x5qs9mg1+vR3t4eUHGWKBBCwBNvm2s8ICSjSCRislHAtwXWZrP5NMmECsHjuQePdGxRtG4uALBz504QQpYJ/y0YsQkh10R1ciSI4LQE5nQ6sWHDBthsNmi12oDHKtmE0bmEDLQHp6N/aYdZoC85lhCdtnmuWLHCJxoIhnBJNmFnGW3waGpqgtPpxMzMDPr7+2G1WpGZmYntVRnQGTLw0ZAJR8d5PN3ThtIsBc6rycHWpTnYUJEJuVQKqVTKiE4IgVKphEKhYOfX6/UYHx9HV1cXSzQKhyzGC5Tg4jg9Q0Il2YK1wFKHF7q6+7eExoPgJz3RT44ODnVOs9mMoqKieb1mvBF3grtcLhw6dAgFBQWora0Nuyem+5tgK7jw9xwOB5qbm73ltRDy0GhX8MnJSRgMBqxatSoicgOhk2x067BixQqkp6f7CDmE0z15noder0dvby/Oz7JhT0UGeGUmOvQcPhw24dljE3j80DiUUhE2VWYxwi/J8OYE6Oru8XjA87zPvpbOFRsbG4PdbofT6YRMJpt3LziFh5CErOChIGyBBU52HNKWUOHqHh+CR7cHt1qti2ouGZAAgkulUqxatconVAklVZVJRJCIuIC2TUKCU1/15cuXhy2BRbs/np2dRUFBQVT72GAhOpXG1tfXQ6FQhGw+oHr2vLw8VFVVsUhHZNNieZULNzUswYhdjiMTdrzTp8N/erwlxWX5KdiyNAdbanLQUJrOmnjo6s7zvI++ur+/H2KxmE3OTE9PR25ubsxGht4tAyCJ0zYg1jKZ/8BAYQus1WqFWCwGISTm2WnR7sHNZvOismsCEpRk83d1CTVCGAjeE07DYNqOGchkMRAiITgVm6SkpGDdunXo7u6Ouuzlr0wbGBiAXq/HunXrIBaLQ5Kbin1KS0uxZIl3cqZKpUJZWRkTiszMzECk1SIry4jdW1WwSgrRpgPeHzDgkQ9H8eD7I0hXSPCJ6mxsWZqD82qykaU6SXZCCBwOB8xmM6qrq9nqTbvFhoeHfTLakSaxvCF6/FbweEhV/Vtgm5ubfWanCYctRNomTPfgCsHQg1CqyFj24InGgho+BEMwZ1UqDJmZmQnbjilEuD241WrF8ePHmZtLJNfoD+EKTvfvMpkMDQ0NbEUKRhaj0YiOjg7U1tYGnWQiFot9mjzMZjO0Wi0kVi0aVgKKjSXot0jx8ZgV7/bN4JV2DTgA9cXp2Lo0B1uW5qAiQ4zW1lZUVlYiOzubre5CqyO3242ZmRmWxMrIyEBubm5ID/Z478HjUbMOhIKCApSVlfkMW2htbQUAH8OHYN+TzcVDKRWxn3s8npBahMU2OhhYIIKHWxWUAaab2O12NDc3QyQSRTVnDAhNVjqtxN/fLRbpKV0hjx8/jiVLlrDJHaHIPTU1haGhIWYpHQloVJSWlobKykqWqINLi4J8M66syYKOpKJ52o33+vX4w1uD+MNbg8iQAVuW5uDCDA7nZPBIkXtXH1oOpMSiQwQBMOeT/v5+yOVytroLr5XWweO5gifa8IG2wFLDB/8WWPo+hau71zJZ7HPOcGWyxeTHBiSI4NGSxT9Ep44uK1asQHd3d9RffqDsO3VPnZqaCjitJJYV3Ol04vDhw1i+fDkyMjJChpqEeKel0BB+Pt1tMpmM7T1pZlk+PQ25Sodz10lhX5eL9wcMGHWn4z99BrzYPgOJiMP68kxsXepN1NHJncIyHM/zPkRwOBxsyorT6WSdUydX8IVNssXrnIFaYGdmZpjBBV3dbX6Oqsk9eIxQnhhfRAjB6Ogo1Gp1SPujcKCOmhQ8z6O9vR0cx81R0lFES3CtVgur1YqNGzeyCSOhkmmdnZ0QiURoaGiI683sn1keHByEWq3GJ6tS4HTacMOafEy4lDg66cQ7fTrc80Yf7nmjD2XZSmw5kZVvKs+ETHpydaehvEwm8xkRbDQaMT09jdnZWRiMcvAebyZ7viKbU234QLcs5eXlcLvd0Ov1mJychFqjBefx6jnoFud0clQFFpjgoZxVrU5vxxYAHwUZLUdFQwohWWkIXVhYiLKysnmX1qjn+czMDBQKRdhMOZ2flpeXh9LS0oQJUGg7q8ViwaZNm1geQq/XQ6zVIiVNj+3nquCSF6BDD7w/aMQzR9X4+8djUErFOKcqC1tqcrBlaTYK0wOX4eiDZHZ2FgqlDJzNyvqis7OzkZubG5PIJhEEB2IzuZBIJMzOSXm8FWnEAbfbjc7OTphMJgBAYWFhQKlwLMMiwxk+cBz3RQC3nfirGcDXCSHNEb+fqK5mHqCqtEBPQJkYGDWakZFROIcEwbq8InktYT2a1oeDIRKC8zyPtrY2SCQSNDQ0oKurCwcPHkRGRgby8vKQnZ3tkyyyWCxobW1FdXV1xPX1WMDzPDo6OiCVSn3yFcKOLhqKarVarJLNYEWNB99ctwTDdgUOjdvwTt8M/t3tFSMtL0j1JupqsrGmJAMy2cluqomJCe8DTSSCXOYtiVIJLd3ThjNtDHT9p0pXHwp2Nw+VXMIqG83NzcjIyGBSYdoIlJ2dDaVSGXU1IELDh0EAWwkheo7jLgLwf5g7PzwoErYH9wddUfwJrtPpYDcZwYukKCsrC/p70WRZRSIRCyejKa0Jw3p/CCOB4uJiEEJ8ur+0Wi0GBweZPbFUKsXQ0BBWr16d0LDN5XKhpaUFeXl5AT8/CmEoSr3WdDodoNUiK3sWl16QBrO4GK0zPN7r1+Oh90fwf+8NI0MpwSeqT+zb5VY4TDo0Njbi4f52iAW+edSkkOM4WK1W6PV6lrEOZ8mcqBV8vrD7DT3geR55eXms8iJsgf3+978Pu92O119/Hdu2bYuo848aPvT39w8AAMdx1PCBEZwQIjTs/wjejrOIsaAruNBZVZj0Ki7MRX+/PujvRTuKaHx8HGazGeeee27ED4ZQ0lOTyYSWlhYsX77cp3+Z3pQ0dK2pqYHNZkNfXx+0Wi0UCgUmJyfh8XiQkZER95uYVhoqKyt9JqxGAqlU6rO/np2dhVarRYN8ButWiyA/pxR9ZgkOjlrwXp8OL7dNgQOwpiQdW61j6Jw0oyBdHlJkU1xczLYJo6OjTGRDVz363SzWFdzm8qBAMIXFf4EStsDu378fn/rUp/DGG2/gkUcewZNPPhn2/JEYPvjhKwBejeY9LCjBKVE9Hg/a29shEonQ1NSEf73eG1Cq6v974UBXM5lMhpycnKhW/WDSU9rGWFdXx/ZXoTLlY2Nj4HkeW7ZsASEEOp0O4+Pj6OzsRFpaGgvl5+sRZzKZ0N7ejhUrVgStpUcKoUikuroaDocDWq0WVXYtCgus+EwuMOlMhRrZeK9fj/v+450WO2124qcvdWHL0hxsqsxCiuxkoo7u3QGwbQIV2ej1ejZSOicnh81JX2ywuXgfT/RQkUZKSgpkMhl+97vfRXz+CA0fAAAcx50PL8E/EfELYAFDdCpXFQ4RpE8vlSCL7v+7kbq6WCwWNDc3o6qqCikpKSFHFgdCIGXa0NAQtFptRMo0KnZJSUnx2QcLyzF0laQKstzcXOTl5UVtcjAzM4Pe3l7U19cnZEyOXC5HcXExCgsL2QMzXyJBqX4aW9bLwakqcOVTQwCAV9o0eOboBKRiDk0nynBbluagPFvl8935i2xKS0vhdrthMBjYw4qG8vPpAwfiZzLpPzoYCJ64s9vtUSfYIjR8AMdx9QAeBHARIWQmmtdY0BVcp9NhYmJijkOKUiaGhydweQhkEt8PMBJXFzqml44islgs83J0EZbVGhoaAIQ2tKey05KSkqDdRP6rpN1uh1arZZ1x2dnZyMvLC2vkMD4+zsqI85nMEg4ulwvNzc1YsmSJj1WV1WqFVqvFimyvzvuXFxZC7VTgyIQD7/TpcPfrfbj79T5U5ChPZOVzsN6vDEfDeYlEgtzcXExPT6O8vBwej4f1gUulUh8JbTSI157ef2xRKMSiYovE8IHjuDIAzwL4MiGkJ6oXwAIRnK5etMXTv256smXUA1kAb69gBKer7PT0tM8oovkYPjidThw/fhz5+fnsxg5FbpPJxDL1gWaSBYNCoWCjkOmNPTEx4dPqSZN19L0ODAzAbDaziCJRCLW3p3p5VYoWEhGQm50JaLVISTfiovNS4JQVoF3nLcM9eViNRw+OQSUTYzMrw+UgP00OiUQCnuehVqvhdruhUCggEomQlpaGiooKOJ1ONkDQbrcz8UlmZmbY/Xo89vSEkDlji0IhWjcXIGLDh58AyAHwpxP3oJsQsj7i14jqiiKEkAzUkdTj8aCioiKgKEIpaBnNUPruTYMRnO7jxWKxz5jeUL8TCtQz7fDhw6ipqUF2dnZY2en09DT6+/tRX18/Lw2yWCz2GaVjMpmg1Wpx7Ngxtk+dnZ2FXC6PWrYbLSwWC1paWsI+sHhCIBYF1suvlGqxchlwS1MxBq0yHBqz4p0+Hf7V5S3D1RZ6y3DL0tzIE518YAl73anaLC8vDxzHsUoFdWgN5VMXD4K7PF61Hr03w4X9serQwxk+EEKuB3B91Cc+gYSu4HS/XVpayuSQgUCNFyN1VqVmCkVFRQFLQ7Gs4EajETMzM8zznJ4nEMiJGWparRaNjY1xHb8r1E1XVVWx3ALgFVL09PQgLy8vopUsWtAmmLq6urCSSw9PIBZo0YPp5T0OLbJzzLi8MgOzojS0THvwbr8e//feMHgCZKmk+MRwN7YuzcHm6mxkKucm6nieZ9sbjuOYT11nZyfcbjeysrKYyCYW3UQg+Bsuhpu+Eq1d00IhYQSn+2La1KFWq+FwOAIeq5QFN17034PTvvDa2tqgbiXREJyW6+g4GtoyGUp22tXVBUII1q5dm9Dyjt1uR3t7O6qrq1FQUMBKThqNBt3d3UhJSWGh/Hz343R1jLQJxkN8Ce4Pf7280WiETKtFg1yHlTVOOGuUMCqLcHDUjHf7dHixdQoiDmgoyWB6+aX5KWwrIlzdqU8dbZChk0LpZxIP3QHtBVdGaJl8VhHcYrFgaGjIZ18cKmymvtNW51xSCnXlkYzpBSL3LKcKMEII1qxZg2PHjqGlpQX5+fkBSUMnlGZnZ6O8vDyhoTLd2wtbSv2VaTQkpis8zcr72xeFg1qtxvj4eFSJOw8fuekinfeVmZmJzs5OEEKQnp4OrVaLoiUOXL0iF9O8CscmXXi3X4ff/3sAv//3AArT5diyNAdba3KwsTILqgBlONockpmZCY7jYLPZMDk5CaPRiMOHDzMJbbSmD4Esk8MRfLG1igIJInhqairWr1/v84GGcnVRCJJs/hCLxbDZbGxMbzAftmhB7ZZzc3NRUuIVB23cuBFWqxXT09OMNHRvDABtbW0xiUqihbAMFuymCRQSa7Va5vWWlZWFvLw8ZGVlhYwyhB1u0STuvHvwyN8TlfmmpqaisrISHMcxj3S9Xg+RVouNKj3O36gClFXoMHD4YNCIF1um8PQRNWRiETZUZHoJvzQHpVnKOas7tZzOzs6G2+1GdXU19Hq9j+kDFdmE21axFVwSuWXyWbOCA3PrhaFcXUI5q1JlWklJSURjeiMBHSdcXV3N2h9pWJ6SkoKUlBSWydVqtejs7ITRaER+fj7L/iYqNI9lNQW8IbG/15tWq0VPTw9UKhVb3YVKwt7eXjidTqxZsybq9+PhScQruMfjQUtLC3JycubkTILp5ZeKplFdyeMbDUsw5lTgsNqOd3pncNdrvbjrtV5U5aqYR926sgxWhrPZbBgcHER1dTVzaM3JyQHHcTCbzUxVR38mdLcVwu5O7NCDhcIpUbL5QxlkBTeZTOjt7UVqamrEY3rDgdaeqTItVIOATCZjCrdzzjkHVqsVU1NT6O7uZqq0aBVzwUC71GZnZ+ddBhO6jQpJ09LSwswZZ2dnoVKpsGrVqpgemnyYPTiF2+1m9fRwjqPB9PKe6WlsSzdh17Y02KVFaJvh8d6AAY8fGsNfPxpFikyMc6uzsak8HVm2cWxc493W+Pe6p6SkMJ86GjlQw0bhsAWJRMIMF5WyyPbgVqs1IQ6288WCN5sEQiBnVdqxs3TpUm9TRBwwPDyMyclJrFu3DhKJJGQyjbZf0rqzRCJhKyEtZU1PT2NoaAhSqRR5eXnIzc2NqYed9ouLxWKsWbMmrnt7f9LY7XYcO3YMgDeJ19XVxeyVo3moRLIHp5qC8vJylhCLBsH08islM1i9QoTvbCzDgEWKg6MWvN2rxRud0wCAVT19J0wps1FXnA6pIJSn4bwwcuA4DrOzs4zwEokEI1bv9yiXJPfgAeHv6iKRSMKH6C4PE3TodDo0NTXB4XBgenp6XtdCM99utxvr1q1j1xdKdtre3g6FQhGQcMJSVnV1NXND7ezshMvlYuFwJIkdav64EIk72pteUVHBstsGg4Ht3RUKBbvpw3VDhduDU7FMdXV11IMgAyGYXr7EqkVmthnnr3UBmSXoNknwbp8O//vuEO5/ZwjZKinOOyGwObc6C+kKKdtmCQdK0HxGeXk5nE4n2o+MAAD6utohNWUzqXIwmM3mRWf2ACyaEN17p5jtXnmkXC5HY2MjRCIRm7IZCwghcLvdOH78ONv/hROvOBwOtLS0YMmSJSz5Fg5KpRKlpaVMXz0zM4ORkRGYTCZkZmayZJf/CkAlrmVlZVGNOo4FNpsNzc3NqKmpYYTznyJCQ/n29nZ4PB7k5OQEfVCF2oNbrVYmlplvI0wwUL18ZmYmWlpasHTpUlgsFigdU9i4Vg7ZeZXomhXjo2ET3urV4oWWSYg5DmtLqSllLmryvHp5/4ESUqkUclUqAA3W1q9GChwYHR2FxWKByWQK6FMXi6Pqa6+9hm9961vo6enpQ2CzBw7AfQB2ArACuIYQcjSa11gwgoeqTUvEIkjFHAZHxnHJsmofYkU7Qlj4e7TUVFVVxULrUOQ2m81oa2vD0qVLwxpEBIPQxFC4Qvb19UGpVLJQ3ul0oq2tDcuXL49K4hoLzGYzWltbsXLlSh+jSX/QBGN5eTlcLpfPg4q6rebk5Hi/kyB7cPpaq1atQnp6eiLfFnstf2EO1ctXctMoKXbhK6sKMOVW4siEA+/26/DbNwfw2zcHUJShwJal2dhak4MNlVlQCvTyTt773pRSEdKV6Uwqm52dDb1ej+7ubjYM0uVyRS1VpWYP//znP1FdXb0Sgc0eLgKw9MSfjQDuRxRmD8AChuihwhudTgcpR6DKyJyzasYiOwVOZm7r6uqgUqnCum1QEtbV1cVtLyVcIQkhrAR35MgR2Gw2lJSUJLRhBAC7GaOV00qlUjb0kApVtFotBgYGIJfL4XJ7QHjf74Uq4eYr3Y0E9OEd6LWE/vJutxs6nQ68VotzUoz41DkpIMoCtOs5vD9gxAvNk3jysBpyibcMR0U2Drf33s1MVcFps2BychIrV64M6FP3wAMP4O2334bBYMDnP/95XHnllWG3ONTsoaqqCoQQZyCzhxN/f5R4ifQRx3GZHMctIYRMRPo5nXLTxdHRUYyPjyNVKQPPza1NRjojXIiRkRHYbDasW7curDKNXsPU1FRCO7RoCW52dhYSiQRNTU1s8qrNZou4mywaaDQaDA4OoqGhYV6zxalQJSsrC0uXLoXVagX/xiEYDQYcPHiQTU0dGxuLyg46VszOzqKjowNr1qwJ22kmkUgC6uWXclosrQZubizBqF2OQ+NWvN2rw7t9vfjFq71QSsXgALgdNrS3t6O+vh6pqakBfepuu+02vP/++/jBD36AQ4cORZSsjNDsoRjAqN8xxQAWP8Fp4svlcqGpqQmqjw8GlapG2t9LBxM6nU5kZWXBYDBAqVQGFTXwPI+enh6WfEuk7JSWwYxGIyuDpaWloaioaE43WTxKcOPj45iYmJi3RXMgqFQqEE6Egvw8NDZWYXBwEP39/ZDJZBgYGGChfCKGGRgMBnR1dWHNmjVRP0iC6eVddi3OzzDj4gvSYZcWo0XL491+PaQcmbMFoPeIUGTzwQcfYGBgALW1tdiyZUtE1xKh2UOgVSmqZvcFE7pQEELgcrlw/Phx5OXlsQGFKpk4YLNJpKD9y5mZmWyVmZiYwNGjR1kZKy8vj61kbrcbra2tyMjIwPLlyxOavaYPM47jAopK/LvJZmdn55TghNceCrSF1mg0Yu3atQlrK6V78OnpaRgMBmaPRUN5eu20ohCPVZ1uN+YbkVAE0strtVqsFOuweoUIVqsVNTUrQybPjh49iu9///v46KOPojLWjNDsYQxAaZhjQmJBV3CxWAyj0Yj29nYsW7bM5wNRSEVBbZvCgY4iqqysZCRRqVSoqalhPmnT09MsO5yZmelNwlRWsrlgiQJ9kGRlZUVUBhOWg4TXTu2JQ2W2CSHo7u6Gx+NBfX19QiMSDw9YzWao1bNYu3YtW639/emE5UPhNiTaB6pOp0Nvb2/cyO0P4TbEarXi2LFjKC4uxtjYGPr7+1nHmlD6e/z4cdx888149tlnUV5eHtXrUbOHwcFBVFVVyRDA7AHAPwDsO7E/3wjAGM3+G1hggtPe8IaGhjlPRZVUDJMj+IDCYNDpdOjs7MTq1auDJtOUSiVLumi1WnR0dEClUmF4eBgmkwn5+fkJMUWk446FAwajhfDag5XgaJmrra0NKpUq4REJAHh4Hg67DQ0NG4NGCcLyIR2mqFaro/anm5mZYZ1u8x2yEA60xFdfX8/q2lT1Rjskjx07Bo1GgxdffBEvvPBCTCpLavawfft2AOhEYLOHV+AtkfXBWya7NurXifrKYgA5MabX4XBg/fr1AUMepUwMjTk6872xsTGW2KGy0lA39uTkJIaHh9HU1ASlUsn2vtQUMT09Hfn5+VGrugKBltyWLVsWNwljoBLc9PQ005RnZ2eHHO4QD1CFn4cnKCjIj2ogZCz+dNPT0xgcHMTatWsTXnGw2WxoaWnBypUrfUQr/np5g8GAxx9/HBkZGbj66qvx2GOPoaqqKurX27lzJ3bu3AkA7AnhZ/ZAANw0n/eU8D04DVFVKhUT/QeCQioOGqL7Tzehoajdbse6desYsUPt+2mCq7GxkYWT/ntfo9EIjUaD/v5+n5p1tDeWTqdjvfCJakCgJbjU1FQYDAaUl5eDEDKnCy6e5Sr6udPZZNJo2skEiNSfzul0YmRkBGvXro17otAfVAhUW1sbsn7f29uLn/3sZ3jsscdQV1cHo9GYEOPLeGFBHF3Ky8tRVFTE9pGB4HVWDW2dTJVtzc3NSE9Px+rVq8OKV2jPt0QiCdk1xXEc2z/SBg3aNspxHLMPCpcsmpiYYLPMFyqcFApzaHaYrux2uz0uJTj6OSoUCm/tFpMRd5OFQyB/uoGBARgMBuTm5kKr1fr408UbVFZbW1sbUgg0ODiIq666Cn/9619RV1cHACGPXwxIGMH1ej1aWlp8xvSGlKvKQhOc53mfBwYN9UKR2+l0MgOHUFM//CFs0KisrITdbsf09HRIrTnNXhsMBtackkhQoUcgxZhMJkNxcTEbPDDfEpzH40FraysyMzNRUVEB9wllYSTdZNGCthUTQrBlyxb22VN/OmEoHxfn1BP2XytWrAhJ1pGREVx55ZV46KGHsHbt2nm/7kIhYXdhSkoKGhsbfTKe4VpGbU5PQMtbkUjEnuqrVq1CampqWGUanQsm1F7HCoVC4aM1p3tHs9nMsqsajQYAYuqtjhZ0CxCJ0GO+JTjaDJOfn89UhlQ5nAB+Q61WY2JigpX4pFIp0tLSUFVVxRpMqDiImlrE6k8nJHcozfz4+Dj27t2L+++/H01NTfN4dwuPhBFcLpfP+dBDuboopSLwBHC6ecj9vKgdDgcGBgZYMg0IbogInHREScQeWCKR+Eg4Z2Zm0NnZyeZzTU9PJ0zkAQBTU1MYHh6OaQsQrAQXrLmE6hVKSkp8qgCeEyKNeK/gY2Nj0Gg0aGhoCJi8ow0mwpFIsfrT0VlzdBxVMExOTuKKK67Afffdh82bN8/n7Z0SLHgdPNgeXOisKhdY1fb09MDhcDAdcLhM+djYGFsBEr0HdrlcGBwcRE1NDQoLC2EymaDRaDA0NASZTMZWx3hdx+joKDQaTdySTsISHG0uoZFJWloajEYjampq5vRy87yX4PHagwPeEHhmZgZr1qyJKDMfyAlGaLUVyp/O4XDg2LFjYRt9NBoNLr/8cvzmN7/B1q1b5/cGTxEWVMkmFouDO6ueIDX1wqKhYWpqKgoKCjA2NgYAQb8QakFEM+uJHAwAnNwCCMtgtEe8pqaGNZa0traCEDKvrLZw6EGw1W2+EDaXWCwWHDt2DGlpaRgcHMTk5KRPRSHeKzhV3sW6vfHPmVCrrYGBAVgsFh9/Oto+vGzZspDk1mq1uPzyy/HLX/4Sn/zkJ+fz9k4pFnQFl0gksFqtAX9GTR+sTg9sNhuOHz+OsrIyZhcstMb1r1fTJFBqairq6uoSLvKgkslQWwCVSoXy8nJmIKDVatkDiIbCkYhrCCHo7OwEx3EJH3oAnHxw1dXVISMjI2BFQZbqJUY8VvDBwUGYTCbU1dXFLXcRyp/ObrejuLg45NZNr9fj8ssvx09+8hPs2LEjLtd0qrBoQnRq26TRGTDZM8TEBoSQOeEYrVfTKRcWiwXl5eX+3TkJweTkJEZGRqKSTApvOKroouKajIwMpujyX5npQMPU1FRUVVUlnNw0My9srvBfHR0OB3pHJwEAI8ND6MmyskRXNNdHoxKbzYbVq1cnLDFJ/enS0tKg1+uxbNkyNoWW53kWyqemprIJKpdffjluu+027Nq1KyHXtJBY8BA9qDf6iRW8u28Ql209KUn0/+KF9Wqj0cjKN2q1GlqtFnl5ecjPz4+76okOSNDpdPMqgwkVXbTBgT6sVCoV82QHgJaWFhQUFETsLDMfCLu0QmXm5XI5CgoKAQygqqIcWVmKqEtwVNnodDpjNn2MBtQbTlhRoaaOtDFmaGgITz31FEZGRvCtb30Ll156aUKvaaGw4Ct4IIITQqCd9DbJlFZWQy6Xh02maTQaDAwMsJ5vwCv80Gg0LJSkZJ9vJ5OwiaOhoSFuq42wwYGGwhqNBkePHoXVavUheyIh1HpHEpXQPbhEEn0JjiZOeZ7HypUrE05uWgmgrj5CSKVS1k1WUlKCBx98EPn5+fj973+P6elp3HrrrQm9toVAQgkeyHjRn+BUyioVeS/F4Q4tXhGupP5zwVQqFSoqKlBRUcHMGun8qtzcXOTn50c99YPu79PT05lhfyJAQ2GO46DRaFBbWwuXy+XTRZafn8+OiReEZbdoppoAvnvwSEpwubm5UKvV4Dgubh73oeByuXDs2DFUVlaGfFDabDZcffXV+MIXvoCvfOUrALw18jMBp3QPToUGJSUlyJBlAJiCzRV8yBu1F+Y4LuxKKpfLmfyRhmL9/f2w2WwRJ7no9JPi4uKwnt7xALU8Wr16NWt2KC0tZdc/ODgIi8XCpKfzHUCoVquhVqujLrvxLIse/Bj/EpxWq0VrayvcbjcKCgowMzOD7OzshO296cpNW4iDwW6344tf/CIuu+wyXHfddezfY21Jve666/DSSy8hPz8fbW1tc35OCMG3vvUtvPLKK1CpVHjkkUeY028icMpCdKPRyGZvpaenY9rkLZ/Z3YENFmliJDc3N+qOKWEo5p/kyszMRH5+/pwRPzSbPB8DxmhAxTmBLI+E18/zPHQ6nc8Ahvz8fGaGGClo3TkWUwhPlHVwiUQCnU6HwsJCVFZWwmg0Mq28SqWKuaknGGgprLy8PCS5nU4nrr76auzcuRM33HBDXCKKa665Bvv27cNVV10V8Oevvvoqent70dvbi4MHD+LrX/86Dh48OO/XDYYFDdGps+rExASGhoaYMo0QghS591IC6dFpU0VVVdW854L5J7kMBgM0Gg16enoYWcRiMesGWwiva9qgEoknHNVj04rC7Owsy0fI5XLWFBPsPLSzzmw2x1x35qOog/M8j/b2dqSkpLCWSqERpX8JTihQiQVutxvHjh1DWVlZyHvF5XLhuuuuw9atW3HzzTfHbbuwZcsWDA0NBf35Cy+8gKuuugocx2HTpk0wGAyI1kgxGiy4J5vD4YBarWYeaHS/rZB6P2D/llG9Xo+urq6E2PD6u57Ozs5icHAQMzMzyMrKgslkgkKhSGirIp0zHktmXrjvpb7g/oMT8/PzWRKSioHcbve89AKB9uCBQAcOUg+0QNfvX4KLVS8AnFy5qX4i1HFf/epX0djYiO985zsJzwUI4W+2WFJSgp6enqiMFKPBghGcJqvoqF7/TjCxiINMLGIzoQDvHnFsbAxr165NiE2PPwwGA3iex9atW2G326HRaHDs2DGfVT9eslNaKrLb7XHLzAsHJ1Ky0B7rnJwcWCwWKBQK5oMXK2iILgmxgvM8j5aWFmZVFQn8teY6nY45wKSnpzO9QKAHISV3SUlJSHJ7PB584xvfQG1tLX7wgx8sKLmBiM0W44aEh+jAyWRacXExLBYLkz76f1FKmYiNL+rv74fFYkFjY2PCZaeBymB0ZamqqmIZYaHsVLgyRguaLJRIJFi9enVCbjIhWWgd2OPxqgS7uroYWeYTogf7VepJn5ubG7P4KFgX3ODgINP50xFLHo+HJUNDTYjxeDz45je/iZKSEtx5550LTm5grtniCQl2VEaK0SDhKzhNptF+27S0NGadpFQqWa1XKpVCKRXD6vCWzZRK5YJIM4VqsWBeZsKMMDVToPbMOTk5KCgoiLh8RW9+2lu9EO+vvb0dhYWFKCsrm2P1lJKSwpJ0kW5F6AouDnDtlGzC9tL5wr8ERyeXtLe3w+12w+VyoaioKCS5eZ7Hd77zHWRlZeGuu+46JeQGgN27d+OPf/wj9u7di4MHD1I5cELCcwDgwniOzyt0GB8fZ33L/m2eNMEyNTUFrVYLmUwGsygVVuMMVleXori4eD4vHRFoGayoqCim16O94RqNhpWv8vPzg8o2qbXzkiVLFuT90bCVymT9QQcBaDQazMzMQCKRRGTR3DxmxBf+chQPfKEeW5aerDBEMyo4HvB4PDh27BhSUlLgdrtZfz5tLKH3Gs/zuP322wEAf/jDHxLar/+FL3wBb731FrRaLQoKCvCzn/0MLpcLAHDjjTeCEIJ9+/bhtddeg0qlwsMPP4z169cn7GmTUILTm4ZOZgz11KTWwFKplGWD47nn9Ue8y2C0fKXRaGA0GpGRkcEaYkQiEbMFqqqqiso/O1bEMrqXbkWmp6fh8XiCioOOjhjwpUeO4c9fXINzq72ddPRhUlxcnHArauBkpFBQUMAelsLoRKfTQSwW4/DhwxgeHobD4cADDzyQcDOOGJEwgic0RH/ppZdQVVUVNok0PT2N/v5+rF+/HikpKT57XgBxk5xSGAwGZrUcrzKYf/mKlt96e3shl8thNpuxatWqBamp04dJTU1NVK8XSJxCxUFCcc2JCJ05ulBRSbjsdbwQiNzA3KqIWq3Gb3/7Wxw5cgTLli3D008/jb179yb8+hYTEkrw9PR0/OEPf0B3dzcuuOACXHzxxWhqavIJ00dHRzE9Pe1TAxbeaA6HAxqNBh0dHfB4PMjLy0NBQUHMCS46ryuRmXmO45jGXK/Xo729Hbm5uejr68PIyEjYWvV8EK/Rvf7iIKGv24jd+7lxICxSqKiomLdGIRLQ7Hx+fn7Ybc7f//53pKens1Lk5ORkwq9vsSGhITqFzWbDa6+9hv3796O5uRlbt27FZz7zGbz00kvYu3dvxHPBaIJLo9HA6XQiNzcXBQUFEevLR0ZGMD09jfr6+oTb8ALeyGRgYABr1qxhDxPaEDM9PR2VW2skoON0EynQIYTgX62j+Nbz/bhtvQxlSieKiopQWVmZcN9ynufR3NwcNjtPCMF9992HY8eO4fHHH4/Ld01neXs8Hlx//fVsT09hNBrxpS99CSMjI3C73fjud7+La6+NeE7B6bkHDwSHw4Hnn38e3/3ud5Gfn4+1a9fi0ksvxbnnnhvVF0FDSI1Gw/TlBQUFQUf69PT0wOVyYeXKlQuyD1Or1RgfH/dJMPqDOoZOT0/7NMTE4iNnNBrR2dkZ1/HHwfBe3wy+9ngLfrBBjvPrThpaxLODzx905c7JyQlL7vvvvx/vvfcenn766bg8dDweD5YtW4Z//vOfKCkpQVNTE5544gmsXLmSHXPXXXfBaDTinnvuwfT0NJYvX47JyclIX//03IMHglwuR3t7O+69917s2rUL//nPf3DgwAF873vfw4YNG7Bnzx5s3bo17AfjH0IKnU6zs7NRUFCAjIwMpqZKSUnBsmXLFqQ8MjQ0BL1eH9Y6SujW6nK5WC6CPrDy8/ORnp4e9pqFLquJHt0LAHaHdwJNednJagdVok1PT6Orq4uVEPPz8wM+dKMBz/NobW1FdnZ2WHI/9NBDeOutt3DgwIG4RRTCWd4AsHfvXrzwwgs+BOc4DiaTiVUmgglyFhqn5Ap+/vOfs//fvn07tm/fDrfbjXfffRfPPPMMfvCDH2Dt2rXYs2cPLrjggrB7ZbFYzEb6CMcR0VbLgoKCBXFEEUYK0eq8pVLpHNeX0dFRmEwmZGVlsfKb/zmFo30SbTIJeLdbff0DAICsTF8fcWEHH52jJrSX9i9fRQJK7szMzLDe9n/961/x8ssv44UXXojrZxFIXurfILJv3z7s3r0bRUVFMJlMeOqppxZFxv7UP2JOQCKR4Pzzz8f5558Pj8eDDz74APv378fPfvYzrFy5Env27MGFF14YsQ94SkoKmpubUVJSArvdzkQFwtJVPEGbKhQKxbxdSvwbYvR6fcDuMY1Gw6S8C5FToAm8opIS4PhASC26/xw14fC+1NRU9h5CrXI0+srIyAgrd33sscdw4MABvPjii3FPngbaxvp/v6+//joaGhrw73//G/39/bjwwgtx3nnnxb1/IlosGoILIRaLcd555+G8884Dz/M4dOgQnnnmGfzqV79CTU0Ndu/ejR07dgRNJNG+amGDCi1dTU1Nobe3N+Y2y0CgDrA5OTlRj5ENB+oplpOTw/zoaBhMCIlpsmUssFgsaGlpwapVqzA77jVDiNRV1f89mEwmH+cXmmgUrrrCRpWKioqQ53/mmWfw97//HS+//HJC5oQFkpf6C3kefvhh3H777eA4DjU1NaisrERXVxc2bNgQ9+uJBouS4EKIRCJs3LgRGzduBM/zOH78OPbv3497770XpaWl2L17N3bu3MlKQlNTU6wVVbgfFZau/NsshV5o0e6bqBrOfzhAIkD96AwGA5v2MTMzg2PHjkEikQQkSjzgn533jHoJHourKsdxzF66uroaNpsNGo2G6fxpu+jg4GDQLjQhnn/+eTz44IN46aWXEjboUTjLu7i4GE8++SQef/xxn2PKysrw5ptv4rzzzmPRViwTR+ONBc+ixwuEELS1tWH//v14+eWX2Y0hk8nwu9/9LuKQlSZFqGRWoVAwooQ7B51IGY/xSJFeKx3D7F8NoESZnp6OS0MMBSW30Gn15bYpfO/ZDrz0jQ2oyo1fxp6WQfv7+0EIQVFRUch20Zdffhm///3v8fLLL4f0OI8HXnnlFdxyyy3weDy47rrr8MMf/hAPPOCd9HvjjTdCrVbjmmuuwcTEBAghuP322/GlL30p0tOfOWWyRMDj8eBrX/sajh49CrlcjrS0NOzevRu7du1CXl5eVPthoT6eroqBXFqpxfDKlSsXZMIkIQRdXV3gOC5oUwyF0+lkZKd6gVj83GZnZ9He3o76+nqf0ts/WiZx+/OdeHXfRpRnxy8kJoSwCaYVFRVM+js7OzvHXvqNN97A3XffjVdeeWVB1IEJxplTJksErFYr6urq8Oc//xkcx6G/vx8HDhzAlVdeCZlMht27d+Piiy9GYWFh2BucOo9UVVX5uLSKRCK2KtpsNnR3d8+58RMF4eje6urqsO9BJpP5ZLOpn5vVamUNMeFMFGhdPZCNcqhuslhByS2Xy1nFQ9guSjXmDzzwAN5++21MTk7i1VdfPRPInVCcESt4MBBCMDIyggMHDuD5558Hz/PYtWsX9uzZg5KSkqhWM2oAMT4+DpvNhrKyMhQXFye87uw/une+5/JfFQNVFYQe6YHe34Fjavz4xW7861vnoChj/hlrOr1FKpWipqYm5Pfy9ttv484778QFF1yAd955B3fccQc++9nPzvsaTjGSIfp8QQjBxMQEDhw4gOeeew42mw2f+cxncPHFF0dcIx8bG8Pk5CRqa2vZZEu3281W9niv5rT9MhHDD/w7r2jpSiwWh/VIf/qIGne+3I3/3LIZBenzS+jRrYdEIglL7g8//BDf/e538dJLLzGBTaBx05EinPwUAN566y3ccsstbC7822+/HdNrhUGS4PGGRqPBc889h2effRY6nQ47d+7Enj17AqrdqFHh7Ows6urqfMpqVIE2NTUFh8PByD5f//Jgo3sTAVq6Gh4ehkajQVZWFgoLC4M6nT55eBw/f6UHb9+6GXmpsROcklssFmPp0qUhP6/Dhw/jm9/8Jv7xj3+EFbxEgkjkpwaDAZs3b8Zrr72GsrIyaDSaRDXUJPfg8UZ+fj5uuOEG3HDDDZiZmcELL7yAH/3oR5icnMT27dtxySWXoLa2limp5HI56uvr5whkhAo0//1uNHJTIejs6oXqHec4Dk6nE1arFeeddx5cLlfA3ANd0eOxB6c2WSKRKCy5jx8/jptvvhnPPfdcXMgNRCY/ffzxx3HppZey11yIbrl446wluBA5OTm47rrrcN1118FgMODFF1/EXXfdhf7+fkgkEnzyk5/ET37yk7DqN4lEwkbw+stNw7m9UNDSm3AscaIhlLvKZDLIZDJUVlaisrKSNcTQCSV5eXmwObzGmKIYxwdTSS+AsP0BbW1tuPHGG7F///641pUjkZ9S2fG2bdtgMpnwrW99K6jf+WJFkuB+yMzMxJe//GXs2bMHF198MSoqKjA0NIRzzz0Xn/zkJ3HxxRdj/fr1YcnuLzelDqFdXV1hhy3U1tYuSOkN8AqDRkZGgspdAzXETGlGAADDg4PgiguiilCodTMhJGy5r7OzE9dffz2efPJJLFu2LLY3GOI6/OF/LW63G0eOHMGbb74Jm82Gc845B5s2bYr7tSQSSYIHgUgkwu23345Pf/rTAE72tP/5z3/GzTffjK1bt+Liiy/Gpk2bwkpdhW4vNLk1NTWFnp4eNutcKpWyds9EKbL8MTk5idHRUTQ0NEQkDKLbkcIlbqC9HxnpaRgZGWHNJMEaYiioUMfj8YSdTdbT04Nrr70Wjz32mE/YHC9EIj8tKSlBbm4us6PesmULi65OF8Sl4+K1117D8uXLUVNTg1/96ldzfk4IwTe/+U3U1NSgvr4eR48ejcfLJhQpKSmM3IDXZeaSSy7BY489hkOHDmH79u34+9//jnPOOQe33HIL3n777aCzz4WgtkK1tbXYtGkTiouLMTExgSNHjrBZ58FGLMcTQs/5aBtV+BN78MKCfNTV1WHjxo3Iy8vD1NQUDh48iPb2dubrRkHJ7XK5wpJ7cHAQV199Nf7617+irq4utjcYBkL5qdPpxJNPPondu3f7HHPxxRfj3XffhdvthtVqxcGDB1FbW5uQ60kU5r2Cezwe3HTTTT7ZyN27d/s8dRd6HlOioVAosGvXLuzatQtOpxP/+c9/sH//fp+e9i1btoTtR+Y4Dm63GzabDZs3b2YKtMHBQWYpHcg/fr4YHx/H5ORkTHPJgJPjg+kePFBDjEajQX9/P5s9ZjKZmOFGKHKPjIzgyiuvxIMPPoi1a9fG9gYjgEQiwR//+Eds376dyU9XrVrlIz+tra3Fjh07WHL1+uuvx+rVqxN2TYnAvMtkH374Ie688068/vrrAIC7774bAHDHHXewY2644QZs27YNX/jCFwAAy5cvx1tvvbUg7psLCbfbjXfeeQfPPPMM3n33XdbTfv755wesKdPRvXRGG0UgS+mCgoKI9PHhQD3w1qxZE3MX3Z/eHsQf3x5C64+2hewoozr/7u5umM1mth0J1hAzPj6Oz3/+8/if//kfbN68OaZrO02xeMtkkWQjAx0zPj5+xhFcIpHgggsuwAUXXACPx4P3338fBw4cwJ133olVq1Zhz549+NSnPgWVSoX29nbY7faAM8mEM7uqq6thsVjYGKX5dI2NjIxAp9PNe1SSx89VNRg4jsP09DQUCgUaGxuZW25LSwsAsCSkUqnE5OQkrrjiCtx3331nG7kTinkTPJJsZCTHnGkQi8XYsmULtmzZAp7n8fHHH2P//v24++67kZqaCrFYjKeeeiqi8DslJYWVrWjXWEtLCzNtFNaog2FoaAhGozFgLT9a8DyBiAv/HdJ55nQ8k0qlQnl5OcrLy5m90/vvv4/vf//74Hke3/ve93DeeefN69qS8MW8CR5pNjLcMWcyRCIRNm3ahE2bNuHnP/853nvvPaxduxY7d+5EWVkZ62mPpDSmVCp9SKLRaFiNmpLdvzlkYGAAZrMZdXV1cXGy8RASthd8cHAQJpMp6Ow1au+kUCiQmZmJrVu34o033sCRI0fYPjiJ+WPe33Yk2cjdu3fj0UcfBSEEH330ETIyMs648DxSbNiwAa+++iruueceHD16FL/4xS8wPDyMXbt24XOf+xweffRR6HS6iM4ll8tRWlqKxsZGVurq6urCwYMHMTAwAJPJhL6+PtZtFy+bKp4nIffeQ0NDjNyhXlOv1+Pyyy/HD3/4Q9xzzz145plncP/998/r2sJVdCgOHToEsViM/fv3z+v1Fjvm/Y0Ls5G1tbX4/Oc/z7KR9Em8c+dOVFVVoaamBl/96lfxpz/9Kex5w31Rjz32GOrr61FfX4/NmzezmdiLHTt27GDJLY7jUFdXh5///Oc4dOgQfve732F6ehqf+9znsGfPHvzlL3+BRqMJNnLWBzKZDMXFxVi3bh3WrVsHhUKBlpYWjI2NQS6XM8fPeMATguDDw8MwGo1hyW00GnH55Zfjtttuw65du9i/z2us8YmKzquvvoqOjg488cQT6OjoCHjcbbfdhu3bt8f8WqcLFmWzSSSNAB988AFqa2uRlZWFV199FXfeeedpXXoTgo5PPnDgAHMI3bVrV8Q97VQKyvM8ampqoNPpMDU1BYvFwvTx4frBQ+Gu13rxQvMkDt7mu18eGRmBXq8PGy2YTCZcdtll2LdvH6644oqYriEQIqnoAMC9994LqVSKQ4cO4bOf/Swuu+yyuF1DjEhYQurU+7oGgLARQCaTsUYAITZv3sxsejZt2kTnLJ8RoMZ9t912G95//3088sgjAIBrrrkGO3bswP/7f/8Po6OjAVdk2qEFACtWrIBUKkVBQQHq6+uxYcMGZGVlYWxsDB999BG6urqg0+miXtl5QubMBqcZ+nDktlgs2Lt3L772ta/FldxA8GqN/zHPPfccbrzxxri+9mLFopSqRlJ6E+Khhx7CRRddtBCXtuDgOA7l5eW49dZb8e1vf5v1tN94442w2+347Gc/i4svvhiVlZVs+kdqamrA3mpqKZ2Xl8esjCcnJ9Hd3Y2MjAwUFBRE5Fvu4YlPJ9no6ChmZmbCesHbbDbs3bsXX/7yl/HlL395fh9MAERSrbnllltwzz33zNtJ93TBoiR4NGW1//znP3jooYfw3nvvJfqyTjk4jkNRURFuvvlm7Nu3j/W033rrrdDr9ZBIJNi2bRt++MMfhg2//dVn1MCip6cHaWlpKCgoYP5n/vCu4N7zj42NQavVhiW33W7HF7/4RVx++eXRzOyKCpFUaw4fPswmjGq1WrzyyiuQSCTYs2dPQq7pVGNREjzSslpLSwuuv/76s9Kbi+M4FBQU4MYbb8T111+PK664gq3g27Zt8+lpD0d2juN8xu5SqWlfXx9SUlJQUFCA3NxcRnYP7+0FHxsbg0ajCUtup9OJq666Cjt37sQNN9yQMA1EJPbGg4OD7P+vueYafPaznz1jyQ0sUoJH8kWNjIzg0ksvxd/+9rfTqrsnEbDZbLj44otZr7LBYMA//vEPVoK78MILsWfPnohELtR7PTMzkzm9UH28QqFAQUEBNldmIFPiYuQOFe66XC5ce+212LZtG26++eaECpwi0ZefbViUWXQgvA/19ddfjwMHDrBJIhKJBIcPHw55zkg8uABvjXTTpk146qmnFkOGdV4wmUx4+eWXceDAAfT09LCe9sbGxqjr4mazGRqNBmq1Gm63G9XV1SgoKAjaVON2u/GVr3wFa9euxR133HHGqxfngaQn23wRSemNHnfhhRdCoVDguuuuO+0JLoTVasWrr76KAwcOoK2tjfW0b9y4MeKk08TEBNRqNZYtW4aZmRloNBofcwuqj/d4PLjxxhtRU1ODO++8M0nu0EgSfL44jWukCYHdbsc///lP7N+/H0ePHsXmzZtxySWXYPPmzUH18ZTcDQ0NPg8Eaimt0Wig1+vxwQcfYHR0FOXl5bjrrruS5A6Ps6sOnggka6S+oD3tf/3rX3HkyBFccsklOHDgADZv3oybb74Zb775JpxOJzt+cnIS4+PjAffcCoUCZWVlWL9+PdasWYOuri589NFHePvtt/Hwww8v9FtLQoBFmWRLBJI10uCQyWTYsWMHduzY4dPTfscdd2DdunUoKCiAyWTCr3/967Djfv/7v/8bpaWleO6552AwGDA0NDTv6wuXO3nsscdwzz33AABSU1Nx//33Y82aNfN+3TMChJBQf84YfPDBB+TTn/40+/tdd91F7rrrLp9jKioqSHl5OSkvLycpKSkkLy+PPPfccwt8pYsHbreb/Nd//RcpKSkhDQ0NZO/eveSJJ54g09PTxGKx+PwxmUzk29/+NvnqV79KPB5PXK+hqqqK9Pf3E4fDQerr60l7e7vPMe+//z7R6XSEEEJeeeUVsmHDhri9/gIhHA9j/nPWENzlcpHKykoyMDDAbpS2tragx1999dXkmWeeWcArXHxwuVzk2muvJQaDgXg8HvLhhx+SW2+9ldTX15PPfe5z5G9/+xuZmpoiZrOZ3HbbbeTqq68mbrc7rtcQyYNZCJ1OR4qKiuJ6DQuAhBH8rNmDR9L1FgsiaU9866230NDQgFWrVmHr1q0xv9ZCQyKR4C9/+QsyMjJYT/tvf/tbHDt2DHfccQfa2tqwfft2bNiwAd3d3XjooYfivr2JJHcixJksW44JYZ4ASYRAJOGjXq8ntbW1ZHh4mBBCyNTU1Km41ITB4/GQF154gZhMpoSc/+mnnyZf+cpX2N8fffRRsm/fvoDH/vvf/yYrVqwgWq02IdeSQCRX8MWISLrezoTxN6EgEomwe/fuhHm5RytbfuGFF8462XIoJAk+D0QSPvb09ECv12Pbtm1obGzEo48+utCXeVojEsegpGw5OM6aMlkiQM6S8TenEpHoy3/+859jZmYG3/jGN9jvhJMtny1IEnweOFvG35xq7Ny5Ezt37vT5N6EY6cEHH8SDDz640Jd1WiAZos8DZ8v4myROXyQJPg9EUnoTjr/ZsGFDxONvwpXfjEYjdu3ahTVr1mDVqlVJSWgSAXHWNJucToik8+2uu+6C0WjEPffcg+npaSxfvhyTk5Nh56ElsSiRbDY5mxBJ+Y3jOGaFbDabkZ2dHfchhUmc/kgSfBEikvLbvn370NnZiaKiItTV1eG+++6L22CDRONMHDe9WHF63BFnGSIpv73++utoaGiAWq3G8ePHsW/fPszOzi7UJcaMSIYTCMdN/9///R++/vWvn6KrPf2RJPgiRCTlt4cffhiXXnop81CvrKxkfuiLGZFsP1544QVcddVV4DgOmzZtgsFgwMTExCm64tMbSYIvQkRSfisrK8Obb74JwDtnvLu7G1VVVaficqNCpMYb0TSYJBEcyazMIkQk6q0f//jHuOaaa1BXVwdCCO655x7k5uae4isPj0i2H5Eck0RkCFcmS+IMAsdxfwHwWQAaQsicYjznZdF9AHYCsAK4hhAS1wwXx3HnALiTELL9xN/vAABCyN2CY/4XwFuEkCdO/L0bwDZCSDJOjxLJEP3swiMAdoT4+UUAlp748zUA85vlGxiHACzlOK6S4zgZgL0A/uF3zD8AXMV5sQmAMUnu2JAM0c8iEELe4TiuIsQhFwN4lHjDuo84jsvkOG5JPMlFCHFzHLcPwOsAxAD+Qghp5zjuxhM/fwDAK/BGEX3wRhKJmXV0FiBJ8CSEKAYwKvj72Il/i+vqSQh5BV4SC//tAcH/EwA3xfM1z1YkQ/QkhAiUyUomaU5jJAmehBBjAEoFfy8BoD5F15JEHJAkeBJCJJNbZxiSe/CzCBzHPQFgG4BcjuPGAPwUgBRIJrfOVCTr4EkkcQYjGaInkcQZjCTBk0jiDEaS4EkkcQYjSfAkkjiDkSR4EkmcwUgSPIkkzmAkCZ5EEmcwkgRPIokzGP8fifFCrvJArLsAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_curve = np.array(h.generate_path(h.X, distance=1, n=10))\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "\n", "ax.plot(x_curve[:, 0], x_curve[:, 1], x_curve[:, 2])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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z6RBFkdOnT8tFyOXlZZmQIhW9Ejrvpgw8dDXqlXg8M0XLgRwVTU27ABibd3N2aEHm0j/UMbtynIb9K2Ox+4pN5Bp1q86tUCjIysoiKyvENgyPYhwOh0ypjWfw0Tz657rBPy8NPLyQ5vP5aG9vRxRF9u/ff9nUz/Aq+c6dO3E6nev+TXjIbUnWcnNNNi+qSCcQCDA6HzL400PzPNZt4w/N0wCUpmk5VL7EVSVm9hYaZSrplYJ0fVIfXBAElEolBQUFFBQURBBSOjo65P50uFZ7vPNu1oPHm1vPN+nJr9fzivpsRFFkeM69MjSzwNP9dv7UOrNynE429njileFRDCBPyo2NjcUcjfV6vXg8ngi1m+eyvNXzzsDD1wTZ7Xa6urrYsWMHy8vLl23c4VzyiooKrFZrwu2s6OOk/y5K01OUpuc1e3IJBEW6ppb4y8VBWqa9/OaZCX5xZhyVQqA2L4WrSswcKDGxO2d90YaNQrq8ePdnNCElXMlValdJ3j28Qr8ZA/evFPxUcebUwyEIAsXpBorTDbx6Ty5BUaRv1iVLWz3SbeX3zVNASLyyWO9jPmU2rnhloqOxMzMzZGZmygYvGbdarX5OzcI/rwxc8tgSPdRut7Nnzx50Op08u73ZJ2w4cUUiYWykXx1+nNVqlQt9BoNBpp7q9Xp256aQ4jfxhkYNpvQMLo4tcmponlODdr735DDffXIYg0ZJU6GRq3ekcVtDzpZ4jUtU1cTOFV2h9/v9ERV6qX8dzitPFNEh+kagEAR2ZiaxMzOJ1zflhR6a0yEtu1ODdk4Muzn6+9BnL4lX7lsRr0zVrS64xhuNdbvdNDc3R4zGhs/Cv+997+OTn/wkFRUVCV23IAg64ElAS8gufyeK4qeijhGAbwI3AS7gzaIonl/rvM8LA4/e3NnW1kZaWhpNTU3yzS+NdkZPhK2HWMQVCeHjoole58DAADabjcbGRpRKpXzDSJNWkiRSSkoKOrWSq1aKcFxXwoLbx5nheU4NznO8f45jfXMcKDHHHHDZKC4Nm2zu71UqVUT1WtJ5m56eprOzU36QSbntWg+l6BD9cjoKSoXA7pwUduekcHtjFs2tbaizyuU5+HvOT/LLM+MoBKjMTpaVbiTxynCEMwknJibYs2cPLpdLHo11uVwkJyfT39/P3NwcOt3qGsAa8ADXi6K4JAiCGjguCMJfRFE8FXbMi4EdK//bD3xv5f/j4u/ewMN721IrpLKyUvYsEjZq4NLTOjwkjzVplagHDwaDnD9/nuTkZPbu3UswGCQQCJCUlERSUhL5+flynjs0NMT4+DjT09MRTDSjXs0LKzJ4YUUGD7bP8G9/7JK93eXiEhd9a3JIjUZDVlYWc3Nz5Ofno1Kp5FB3aWlJ9nwShz78s4324Jsly0QjGAyiVauozU+lPj+VdxwuxOMP0hImXvmL0+P89OSYLF7ZVBRqycUSr5RWTEmjsRJ1+IknnqC7u5uXvvSl7Nmzh2984xty1BcPYuhGWlr5T/XK/6K/3JcDP1859pQgCCZBEHJEUYwrF/R3a+DRvW2p0hvtZSVsxNsKgsD09DT9/f0RIXms4xIx8IWFBVwuFzt37pTbNZLYQ/iNLeW56enpKBQKMjMzZSbawMBAZFi8xX3yK0W0k95jdKjrcrmYm5tbNSOelpYW04NvSRoS40GhVSloWlko8V4k8coFzgwvcGZonh+dGOGHT4+gUyn4yRtqqclLla8pGhJ1+L3vfS/33nsvx44do7OzU5aiXg+CICiBZ4By4DuiKJ6OOiQPGA3777GVnz2/DFzqbbe2tlJUVERbWxu5ublx1U0hcQMPBoMsLy8zPj4e92GR6DlFUWR0dJTx8XEMBoNs3NGYdXhI1qnQqyOji2iWltTSGR8fp7/fDsDk1BTZhuxVXnCjkKiqCdS1NoRYxikIghy5hM+Iz83N0dHRweBwKG+3z1lJVlvWnUhLFIlEAgaNkoOlaRwsDUWAj3ZZ+Zd7OzDqVeuukAqHz+dDr9fLrLlEIIpiAKgXBMEE/EEQhGpRFNvCDon17az5aP67M/Dw3rbVamVxcZHq6uo1NcQhMQOXquRKpZKampp1xzvX8uCSGoxSqWTfvn2cPh39MA7B6fFz43fOANBQYOSqEhPlSX7K0le/dnhLZyg4A21dIBKRv0tecKO4NGyytRaeiPcNnxEvLi7mGdcIdA/hcbloaWkhEAgQCASw2WyYTKYN11EkbDTUf6Btmv/4Uw9lGQa+99oaslMvGfiVbIeJojgvCMITwI1AuIGPAQVh/50PTKx1rr8bAw8vpAUCATo6OmR107WmpCSsZ+DhVfJ4aqnRiGfgS0tLtLS0JMSY8/iDeAMitXkpzLl8fPPoEAApWgUHShdXmG4m8k2RhTTpBsvMymJHZmlEn7qtrQ2n00lvby9paWkJGUW8efDLxeW0yXaWl6JUCCwtLdHV1RWRqkj5e2pqasJGKym8JnLNPz01xtcfH6SpyMg3bt0dUWFf797YzHsWBCED8K0Ytx54AfDFqMPuB94nCMKvCRXXFtbKv+HvxMDDe9uLi4t0dHRQXFyM0+mMa9zH+2wM2VwcWJECjmfgsarkEsd8PcQ65+TkJIODg9TU1CSUe0lFrZt2Z/L6pjysS14eujDIM+NOLo4u8nCnFQhNqh0oMXOgxExTkVGudktXGd2nPnPmDGlpaavyd4mDHW0U8SSbLhebCa99ARGFgKzXLuXwO3bsAEIVeknSqqenB41GI0cua1XoE/HggaDIlx/t566zE7yoMoPPvWzXKqWeRB4UmzDyHOBnK3m4AvitKIoPCILwrpXzfR94kFCLrI9Qm+wt6530OW/g4XPbIyMjTE9PU19fj8FgiDm37fEF+OLDvdx1Zkz+WY5Ry+40Jdc6rbygRo/ZEAp/o4kr0S219RCtltrV1YXH40k4qgi9Vug1A0GJ6abhhvJUri1JIi8vjwGri1ND85wcsPNA2wy/PT+JQrjUtz47PE9Jun4V8UUQhIj83ev1Mjc3J1MydTqdXLDT6/UxJZu2AptisgWDEe8n+hwajSaCXy6RUUZHR3E4HBEtuXBZq/UM3OMP8u/3dfFIl5U79uXxkReUxuwqrGfgfr9/w2mEKIotQEOMn38/7N8i8N6NnPc5a+DhIbnX66W9vZ2kpCT27dsX8SWFf/mDVicfuqeVzqkl3nygkNc15XNm0M7xfhvHe2d5dHCQ//jLINW5qTRka8lVLPDSA9VY0iNzVqmttR4kA3e73bS0tJCVlbVmoS/6b+FSSBwdMEjvqywjibKMEGnDFwjSOuHg5ICd7x8fAeALD/fzzaOD7Cm8NLiyI2O1yoxGo5Hzd+ma5+bm6O/vx+12Mz0duiH9fh9beVsEg8GNh+gBMYLFtp5hRrPPXC4Xdrtd7k1LtYlAIBD3PAtuHx+4p53zo4t85AWlvGl/ftzXW+s8gKwN/1zAc9LAw3vbc3NzdHd3s3PnTnnMUYJkYIIg8KeWKf7zT51olAq+d3sd1+8KHVucbuDVe/Po6u5h0quhzRrg0bZxfnl+kaAI/9PSzP5iM4fL0zlclk5hmn5DIfry8jLnz5+nqqoq5gqjdc+xcvMHwl4vXm6vVobWDjUWGNmVlcyH7u3gPVcXMef0cWrQzpf7BwCwJGnYkRpgUjvNVSUmMqOqv+GEDan//syTA4CTzo4O1EJIFkmqdyTijX52aoxfnRtnb6GRq0rM7C8Ove5mh03CWWwbCfPDK/Thvem5uTmmpqZkMpTELdBoNEwtLvOuu9sYsbv50i0VvHh37G6HhPX4FJJW3nMBzykDj5ZSGhgYYGFhQaabRkOpVOJwe/niIwPce2GCxkIjX7u1hpwYU0RqlZJSnYDeOcvNNxeQlpXHmeF5jvfZON4/x+PdoVw336xnd5rA9R4bN1TrY+7elq51cHAQt9vNkSNHNr2hRMozJcGFRCHd/tftSKciO3QzTS4sc2pwnpODdp7qneXkn0I6cGUWg1ys21toJEkb+Z4UCgUaTej6Gxrq0SiQc9wLFy6gUCjkHDdW/g7QPunAuuTlyb457l8Z9ii1GCg1eLnZMMe+4rS4n2U0fIHIEH0zUYCEcFkrSaMtKSlJVqodXvDzjQtePAH4zm1VHChLX/ec6z30tj14DIiiiN1ux+PxoNPpaG1txWKxsHfv3rhf7oRT5NM/Oc+AzcW7ri7m/deWooozhOF0Opmbm6O+vl4mrrywMpMXVmYiiiIjc+5QKN9n41i/jb/296H8cz+1eamyd6/OTUGlVOD1emlpaSElJYXk5OTLWj8kRaLh9p0QgSaqyAYhpZlX1GfzivpsTp9xYCys4uSgnZODdu65MMkvz14aXJHC+ercFFQK4VKRDWStdp1Ox969e2XaaXT+Hp7j+oMi+WY9f3jHHrqnnZwatHNqaJ4nh1w8OtKFUoDq3NSVkVgTdXmpcQdmfMFID76VTDaNRiOLNp4dnudLj7ejUyr47+vMqO2DPPPMUMTQTKzXXc/Al5aWtj14OKTetsPhYGpqCqfTuWbIK4oivzs/wX895SBZq+bHdzRwKM6TN3xVUHFxcUxWmiAIFKUbKEo38Pp9BbR1dDLtN9Ay6+Pp/jm+/cQA/3N0gFSdij35yRRqnLx0bzk7SnLi9rfXg9TbVShDX0EggZQg4ppX/j/eg0AhCFRkJ1ORncxbDhTg8Qe5MLrAyRUP/90nh/nOk8OkaJU0FZlw+wLy30VDop1mZWVF5O/hOa7LvYyAiEIQqMxOpnLldU+cPoMqawenhuY5PTjP/z49wg+Oj8hbTqXIYkdmkvza0R78SjDZHuqY4eP3d1No1vO911bLUZ+kADMzM0Nvb2/MxRPr5eASFfe5gL+pgUeH5OPj4zidTg4cOBB3vnhp2c+nHujkgdZpajLUfOXWGoqzYxM7XCtEiaysLHn5XSLQqJTUZhi4oTaDD90AdpeXk/1zPNQ8zNnRBY4ui/yso5Pi9GHKk7wsp82yr9i8KvSNB4fDQUtLC4DsCZaXPfKNnIgHl274RB8LWpVCHlz5ECXYXT5Or0ypnRy0M7HgQatSyFX9tV43PH+XWGi+M934vB5ZyTUtLQ2j0YhaIdBUbGZfsRmuhcVlP+eG5+UJua88FqobpBnU7C8OefeROfeGimyJQjrPL86M8aVHBmgsSOVbt+3GqL90r0UrwIQvnpDmwyWVl3gPHmno5LmAv5mBh/e2nU6nPAGm0+niGnf7xCIfuqeVUbubD15fxsG0Jcz62KFS9Hjn+Pi4rMyxHqINLEWjIDcwxbsaU/j66/YyNLe8krvbeLLfxaO/akatFGgoMHG4LI1D5elUZaesMhZRFJmcnGRoaIjq6mq0Wm1I4vcvp7HPL3DmzBmSk5NlxZA1r1E+aUJvaRXMBjU3VmVwY1VGiFJrX8btCyQ0gx1xHSssNK1OT3JASWNjnbxrTdroMjg4KOfvqToV1++ycP2u0NTZ1KKH00N2Tg2G5rf/sqLOAvBfD/ZyVYmJYr0P3RYYuD8Q4PunpvlNs40XVlj4/MsrVg2QRCPW4glpFFn6vqIXT2wmBxcEoQD4OZANBIEfiqL4zahjrgXuAwZXfvR7URT/a63z/k0MPJxuOj4+zvj4ONXV1aFceGRk1fGiKPLL06N88eFe0pI0/OIte9hbZKajo2NVOyveeOdGhk3Cj3U4HLS2tlJcXExubi6A3Lp604FCjh1/Gk1uJcf7bDzdb+Nrj/Xztcf6MRvUHCpL41BZOofK0hBFkc7OTrlPLggCPp8PrVaLUiGQbrGwb18xS0tLjI6OYrPZsNvtsjeMZqNFE10uB4IgUJh2eSOnATHU2oretXb69Gl5vDJW/p6dquXltdm8vDbUvhuwurjlh88A8GD7DPdcmEQAytI1XL0zwFUlJhryU9GpN9Zn9vqDfO3kHE+Penjd3lz+7YVlcoEzUUjRS2pqKmlpaWRnZ69aPDE5OcnJkyc3o/nnBz4siuJ5QRBSgGcEQXhEFMWOqOOeEkXx5kRP+qwaeHhv2+/309HRgUqlkjd3Li0tEQhErq9dcPv4+B87eLRrlmt3Wvj8LVWkJYWMVqlURhwfHpJHj3duxsDHx8cZHh5etTY4HGqFwIEVpdSPsgPrkocTA3MrBj/HA60hCaayVJFvvvxSnzz8uoUV4opU8c3IyECv11NYWMj8/Lyc76pUqgiRBekzfS4gEBRjhvfhGmjhggkDAwO43W6Sk5Nlg9dqtZRlJLG/2IQvEORHr6+lfdLBwy0jXJxw8/PTY/zk5CgapRDi7ReHNOwqs5PXNFbHsp8P/q6dM6Me3nMol3ddU3ZZOX0gEECr1UZU6KXFEy0tLfzud7/j2LFj3H///XzhC1/gBS94wbrnXKGcTq782yEIQiehSbFoA98QnjUDD+9tLyws0NHRsWpzZ7TBXhid58O/a2PG4eFjL9rBmw8UxjXaWIor4diIgYuiyNjYGFqtdkOsNAhprr2sNoeX1YZCurO9E3zz0W7OTQfJyiuIeWMpBUGe5oJLKUK0N5TywZGREXqGFgCYtdrwWLSXVcnfCgRFcV2PGJ6/S6uXwqfI/H4/JpMJ17IHvVaDWqmgPt9IumjijgYLxvRMnhlZ4NRKSP/NJ4b45hNDpOhU7C8yyaKV4eqqMw4P7/51GwNWF+/dk8wdTZevgBOvyKZQKKivr6euro7XvOY1vPzlL084LYz6nIoJsdpiVXAPCILQTGjI5COiKLavda4rbuDhhTRRFBkaGsJqtdLQ0IDBEMm4kgw8GBT58Ylhvv5YPzlGHb96615q842rzq1QKPD7/XR2dsZUXIk+NhEDd7lcjI6OYjQaqa2t3fTNIKUbwblJrtldyLnpIQJxxBkUikgDj4fwfNCmscHFdnw+X4RxSOH85WKjkUEgKG46f5emyAKBAPPz83i8VkSfh/Pnz2M2m/F6vaSmpmLQKDlSnsaR8lAEY3N6OTM0L/f+H13hMmSnarlqRaThh8dHWFj2853XVJPiHNuyYl0iRJfo+zsRCIKQDNwLfFAUxcWoX58HilZUX24C/khI3SUurqiBR9NNW1tbMRqNcTd3KpVK7C4/77jrIk/12XhRVSaffXlVXIKEtFS+oKAgpuJKOBIxcKk1kpOTI4dg0bC7vJwZslObZ4xJqJGuq729HYVCQVNTEz1nxwHwBy69fkQkIkD4pW2kip6VnU19fqpsHOHtq+Hh4XUHMLYKgSBoVZf3GlLEolRrsaRqqK7eid1ux2q1YrPZmJ2djVidnJ6k4cW7M3nx7ky5UCj13x/vsfHHlmksSRr+7446KrOTaW6Ov1RyQ+81AaLLZqroK1JN9wJ3iaL4++jfhxu8KIoPCoLwXUEQLKIoWuOd84oZuFRIO3PmDKWlpfT09LBr1y5ZsysWzg4v8B9Pu3AF3Hz65gpeuzcv7o05PT3NxMQE2dnZa+qSS1jLwCXtb4fDQVNTE1arFa/Xu+q4lrEFPvDbFiYXPMBKsc3gxZ9hZV+xGZ1aicvlorm5mYKCAvLzQ3xmKXT1x3l9hSCsoqquh+hDYhW3NBqNLJEk5bppaWkJhfMb7T0HguKWyT1JwyZS/93pdJKSkkJSUtKa+Xthmp7CND2vXlGo7Zt1kp2qldtgidJu18N659lMm2xFUPHHQKcoil+Lc0w2MC2KoigIwj5CU2e2tc675QYeHZI7nU6Gh4fZu3dv3BsrEBT53rFBvnNsgEyDwM/e2kRFduxRy/AqeUlJScKhZDwD93g8tLS0YDab2bNnj9yHDj9WFEXuPjvO5x7qJjNFy/dur2PY5uJ4n43HB508/MuLaFQK6nIMlOiXecVVu8jLC6strNz44R484toEVoXo63rwS0fGfb/h7R2JydfZ2YnP54tbnd8sAgnk4InCFxBRxeCiJ5K/h29S3ZUVaWRb1U+/QkSXQ8AdQKsgCBdXfvZxoBDkqbJbgXcLguAH3MBrxXVulC01cElKKRAIyIKFgiDIhhML04sePvr7Nk4P2rmlLocXWebjGrdUJZe2gU5NTeF2uxO6NqVSucrApRs+OrIIfxi4vQE+9UAn9zVPcfWOdL78ympMK3rabzlYxNGnnkaZtYsHnhng7NgSZ0eD/LannazUPg6VpXGkPB2Hxw9cGgmNhkIhbCJED/1/Is83QRBkccDCwkJZ0zy8Om82m0lPT5fD+c148K0ycH8gyMXRRX5wfJgDJWY0/tUGFSt/D9+kGos/v5WMuPVC9ER12CSIonicdaZ1RVH8NvDtjZx3ywxcFEU8nhAba2pqiqGhIaqqqujo6Ij7obaMLfDOX11k3uXjv19WyW178jhx4kTMY2NVyaOr7msh3GilYt/MzEzMQRbpZhi2uXj/b1romVni/deV8p6rS1a1gjQK0DmGedseE198bRNTix6O99l4qs/Go52z/P7CJcGN/3liiNuvKqIuLzVCOSW6ip4YNsZkC0e0prmk9SbNU0uKpxuRhA6KohypXC7eerCA352f4tvHhvn2sWEMaoG9BW6u3umOu8ct+j1J/PnJyUm6u7vR6XR4vV5cLlfEjPhmkEiIvlEDv1LYMgOXerudnZ0Eg8GI9lK8J2fvrJMFt5+gCF96uJfj/TZyBT9lix6yVvSvtkqXXKFQyKlDW1sbOp0ubrFPoVBwcsTJt353BqUg8MPX13P1jtW1A4fDgdPpjGj35Rh13LYnj9v25OEPBGmdWORff9/OyJybB9pneaB9lhSdKrSlpNjI4bK0lT74+uOi4diIB18P4VpvUjhvtVpxu92cPXsWo9Eo57rxbmz/FnrwVzfm8urGXOacXs4Mz/OXC0O0z7p4ciC0uDHXqJWHZfYXx95QEs6fB3C73Zw/f37VjHiiNYlwrBfqP2+nydra2rBYLOTlXSqOraVH/qqGXF5YkcGJgTme7LXxZJ+VhxxeftL2FBXZyRwoNpItznG4IjdmlXyjHtzr9XL27FlKS0sj+u/h8AeCfP/EBD8/Z2V3bgrfenUt+TEWC0xMTDA0NLSmWqpKqaChwMSd15fx4d+18dPXV7PgE0I01z4bj3ReomX+oXmaF1ZksLdodTswFuRhky3hsoWddyWc1+l0zM3NUVdXtyr0lTylNHwBoXHX6Hv+ckk4aUkabqzKpBArBQUFzPlUnBwIcecf7pzl3otTCBC6V1aGVhoLjDHpp3q9Ho1GQ01NjZy/R+9Zk2oS6/Ee1gv1A4HAhrgTVxJbehUNDQ2rvlTJCOM9+VP1am7cncWNu0NMp989ehKrJoujXTP87PQ4QRFSmoc5WOrgSHk6V+9IJys1FFJvxINPTEzgcrk4ePBg3KerbcnLv/yulVODdl5YauCrt+9FG0WJlKSZvF4v+/bt49y5c+veyJJnS9IoOLgzkxfvzgpV2wenabMF+cpjIWrxe37ThkYpUJubRKUJbjE52ZERO5y8HA/u8Qd5192tITptqZmDpeZVLT/pJo4V+krDF1I4n5aWhj8QXNUH36qcVyqySXvcXrs3F39QpH3SIRu8xHLTqhQ0FqTKHn5XVtKq6n54/l5UVLQqfxcEQY5YYok6rvWenivMQglbauCxQkuVSoXf719Xglj6+2KTmkq9m/1NWorK6zg35uDJ3lBO+9eOkJDArqxkrt6RTlN+Esk+/5rnlBRYRVHEYDDENe6Lowvc+dsW7C4f//GiEupT3auMe3l5mebmZjIzM2XKaSIbU6Kr6PPz87S3t5OcnEylwkGmQUG5Rcdr9ubxzJiLp/ps/GJ0mV+0PkNmsoYDpWYOlYYEF6UCX6I7xGLBuuTl3MgCWpWCR7pCLdTidH3I2EvM7C0yoY5z+mjpJ6k67/H6mLPZ6OnpkT2h1JG4XMQKiVUKgbq8VOryUnnXkSJc3gDnhuc5OTjPqSE7X3t8EBiUp9QOlJjRu2M7g1gPsXBRR61WK/8+EfLKVr3vrcCWG3g0NhJGu1wuFhcXMRqN7N69G0EQeFGVgRdVhbx79/QST/XZeLLXxk9PjPC/QRG9SuBIdzNX77BwpDyd7DBP5HQ6aWlpIT8/n/z8fE6ePLnqNUVR5Fdnxvj8X3vIStXx67ftpSBZYHBwMOI4KZyrqKiQe83Se07UgweClxYh1NfXyytndefOoFYIWHyzXGNc5sbDemYcSua02ZwaXuBoj437WqYRgN05KRwsNcsyvptxGFJY/8kby6nJTeHEoJ0TA3buvTDFXWcnUCkE6vNTKNV70WY7qMhOjtnjDq/OK1UTZGaYsVgsEZ7Q4/GwuLgYEc5v+HoTkGwyaJRcvSMU4UGIonpqxdhPDlyaUvtO+1l5S2tTkSkmiSpa1FGafx8cHMTpdMpDJfHy94168QQnyQQ2uHgQngWqaqIGLlXJjUYjOTmr+cKCIFCRnUJFdgpvP1zM0rKfJ3umuf9sPy3jizy8ks/uzEziyA4LNRYFBuck9bU1GI2x81qXN8Cn/tTJ/S1TXLvTwpdeGZoNdjqdERX34eFhpqenY1bcEzFwKXQdHh1FZ9HJSxElnrJSIaDV66mtrSIYDDI5OYnbPY5RnKSsWMF76nOY9uu4OOXhxEBonY6sgnoZjkIQLk3G3bEvXxaFODFo50T/HL8d8fDb7gukGdRcVWLi4EoUEa3xBuAXRVRh+TmEHrCtra2rwnlpLDhRbEayKTNFy8tqs3hZbcg59Ew7uPfpDsZ8eu5rmeLXz0zIKjMHVjjstXmx1zLr9Xry8vLIy8sjEAhw9uxZvF5vzPw9EAjEHXdeA4lMkm148SA8CwauUqnWNPDoKnlPT09CeXWyTsULKzOxLIdWDPXOOHmy18qTvVZ+dnIYfxCSNEoOjA2tPNkjq+BDNhfv/3UzvbNO7ry+lHcdudQCk9pk0nYSlUq1ZsV9vesNBEJphEodKvJEE2mUCuHS4gGFgtTUVBYXF6msrJRzXqPNxh7tEtc0JaNOKqXPoWR43ktt3tobXWJBeq3oMD9cFOK9h/I4dbGDRUMuJ1c8/IPtoYdoeYaBQ6VpHCwNFbV0aiXBGFV0tVqNTqejqqoqIpzv6urC5/MlXNi6XIKKIAiUput5camWhoZqfIEgF8cWOTlo5/TgPD98eoTvHx+R1zIfKDVzVbGJUsvq+ocoimg0GoqKiiLyd2nhxCc+8QkCgQDHjx9n//79CRl7gpNkG148CH/jED2auCIVdRIN6aVjBUFgZ1YyhUYVtZoZDAeLmQqm8mSfjad6bTzaFbox85IFXuToxRcI8ttnxtFrlPzoDQ0cLo+Ue5K869mzZyMop/He81oefH5+nv7eHgBM5rSYn5FCEOKSYKJz3qWlJWw2G9m+GTL1QcaG/bJ6ylYvnDfrlVxTk8VLa7IIiiK9M05ODNg5MWjn7nPj/Oz0GBqlwJ5CI/NuPwNWZ0RhLfzfa5Ft1qrOR59nswivk6iVlxYOcm1oJPns8IKsbnOsbw6AzBQNV5WYOVJm5p8qM0LfU1TBODx/Lysr4zvf+Q4f/vCH+cUvfsE999zDN7/5zRhXEx9rTJJtePEgPEshut+/uhAWb7xzIwYeblw2m42uri45R64GXrAiqNg/6+TJXhv3ne3nJyeG5b8vy0hizO5mYn6ZXNOlkHFubo6FhQX27dsXN7yPdQ3RGBsbY3R0lF07d8Az7auMWLpxo6mq8c4ZPn9cXFyM3++P0A8LX2awFsQEwvvo11cIAruyktmVFdJac/sCPDOyEDL4gdAixDPDC9zwrdMcWCnWNeTGX4iYaHU+LS1tSyima9FLjXo1L6iw8IKKUJQ3Pr+8YuzzPNlr4/6WafJNeqpzU9Ylueh0OkpKSvjBD36w4WtcZ5Is1ge5brL/rOfgaxFXYh2/FiRD6O/vx2azxc2RyzOTMRnU3HeuHwjlZ4fL0zg9aOdTD3QBUJ6RxJHydJrSfaQSIkKsZ9wQO0SPbqVdGHMAq7noMldAENigajIQSn8yMjLIyMiIEEPs7e3F6XTS3d1Nenr6qhA4kZdaz2vq1UoOl6VxuCxkoDWffRKzQc3eQqNsFADFRiU32AY5WGKmPj911RogCfGq893d3av2rG2mx7yRh0SeScerGnJ4VUMOR3tsfOCedvlheKWWHqw3ScYmFg/CsxCiq1QqeTIrVkgejY0YuNfrxe124/f72bt3b9wP/sLoPB/4TSt2Z5DP31LFKxtC0kuSRNBTvVae6Jnl56dGOJuh5bfvOsjZs2cTfs/h3s7j8dDc3ExGRobcSpPqNuEePHJcVFj1u01UYiPEEM+cOUNGRoZc/ZWmzUIeUbHyNxt6iTWhUgi8qj6bO68rIRAU6Zpa4ljPDE90TfOzU2P8+MQoenUoNJaKdSXpsT18dDh/5syZiOr8WuF8PGw2ClheUZuVVjtfiaUHiUySsYnFg/AshujrKa6EH5+IgS8sLNDW1oZarWbXrl0xj5G03L7w115yjDr+84Cel9dmyb8XhNBqoAxtgJ2MEwwk4/QrNkSgCTdG6Zqih1cujYvGGzaJ9Kpb0UMVBCFilXC4GkzfdCj6W1xYwOs1x+QoXM64qFIhsDs3hWKjgmsyliku38XZ4QW5HffkSo6bk6oNGftKUStc3TT6vSQSzocLH0Zj8wYeug/06tDfJqKJfoUmyTa8eBCeBQMXBIGZmRkWFxfXVFyRoFQq8Xg8cX8vipd6yQ0NDVy8eDHusV95pI8fPT2MJVnD92+vwz7cueoJPD4+zsjICHV1dSQP9zFvd2/oxg7XbxsZGYmtVCNIffA4RIsYRbatZkSFq8HoM51w8hm8Xi9tbW0Eg0F5mmwj63glBMVQZz26wyQ9JJK0Kq7dmc61O0PFzLF5NycH5iMopwoBqnNSeP2+PG5aZ3VQdDjvcrmYm5uThQ/DR2GlcH6zs+CuFQ8uiTxeCbGHBCfJNrx4EK6wgbtcLnp7e1EqlTQ0NCRkOLHGOiVIQo0KhUIWalwLuSYdWalaphc9vOQ7pyhKVfKCuQGur8iiNi+Zvp4evF4vTU1NqFQqNEoFvjgz22tBInVI51n1niQPHkeySRAiDXozIfqGIKnBZGbSuDsTv98v7+7q6elBp9ORnJyccBQjPZyi22TxvGa+Sc9tjXpua8zBHxRpm3DwxYf7aZlwYOmYXdfAI9/KpV1kBQUFsuZf9NioQqHYVGQkeXBdgh78ubSXDK5gDi6F5CUlJVit1oQ/XGnqKxpLS0u0traualtJPeVYN9Lr9xVwe1M+3dNLPNlr48ELQ/zfyVF+fGIUgwr25ifz4vpC8pcDWJJVqJUC3jhGGAter5eZmRksFovMvIsFmckWx2iVCoENvOxlQ3p4SJerUqlk5pbkEaemplhcXOTMmTOyR4w3TSYFH9HjoomE+UoBTg7aaZt0cLDUzOdeFjvdShSSQUtbcaSx0fHxcVwuF06nM2Jt8nqQcnBpgCWRIlu84aO/Bbbcg0dXyaX8O1HEysEnJycZHBykurqa1NRIYocUIsf70MMZcPtTF9ClmHnowhDD/hTOjDh48o8hLsHu3BTaJ0LV7ng96XBI+bbRaCQrK2vNG1k28Hiii4KwSq/tSnrwsFhh1e8kj5iVlYXH42HXrl0sLCxgs9kYHByUpZvT09NJSkoK8a4JqdL86MQorROOEKe9zEwyaxu4Pyjy33/p5d6LU7ysJpNPv2Rn3H1lm4U0Niqp+qanp0eE8+GjsLGir2V/EL1aIdcXgsHgmlX859KoKGyxgft8Ps6cObOqSp5oVRwiDVx6WCwvL9PU1BSTFSQdn8iIn/QEf+dL9qHT6QgGRbqmHRzrCY2qSjj4pSfZZQwymzTJkfJ0WYddwsTEBMPDw9TX1zMxMbE+Fz1GDm6z2RgZGQkVHMXgptpkm0UifXAJ0f3q5eVlOfyVlEvS09P5n1srebw3VER7vCckE5Zv1FCToeIlgo2mIhMGzSXv7/YF+Nc/dPJE7xxvP1jA+68tjvkw2KoHnVR7iRfODw8PR6jApKamIggCbm8gYsmCpIkeD8/rEF2tVlNdXR3xBjfS9go/3u1209LSQmZm5pqKqYlUvP1+P21tbQQCAaqqquReuUIhUJWTSlVOKu++poR//X0b9zWHeOmPdU5y+veh/mdNbirX7LBwuDwNzdIknpUHjjQskuiwiT8oRnDbS0tLWVxcxO1y4fAE5F6vwWB4Vjx4+Cf605Oj/OaZCfYVmzhUlka1RRXzM9fpdOTm5pKbm4soiiwuLjI3N0eSY46XZsMdFRaWFEm0zPg41jPLY4NO/tLXjkoRYrwdLDVTlZ3M/zwxROuEg4+/qJzX7c2Nf61bKLMU7QTihfMTExN0d3ej1+uxLfjRhunDXQnBxSuJLc/Bo99cvJw6HpTKkDLp+fPn19wwmuj5pYmywsLCdZU7LMlatCoFX3zlbo4/PY+xuIZjvVae6rWFNow+MYBRp+CanZlco7JyqCwtoQfMpSJbkPb2kE793r175UEFY+oCfqeXtLQ0bDYbfX19eL1exsbGEh5R3Aiic3CAzqklZpe8PNpt4w/N0ygEKDereIF1mMOlZqpyUlYV0QRBCF2/0UhJSYm8mdNrs7GTRaqqVASqknEn53JuzMnTA3a+/vilKb0kjZJUnYo5p3dVlBR+rVth4Ot5Xli9RdXlcrHc3IVC9HPmzBmMRiPLy8trEqCe1yE6rM4fN/LlSMsCXC4Xhw8fTkhKZ62qu0ThrKmpITU1laWlpTWNMbyKrhAEavJSqclL5Y2NFk4804JNncmFaS9P9tm4vyXU2tll0XKgOJWXNCbFXDgIlwx8ZtZKys7SVZtOlYpQ2CzJHksa8gC9vb1y60dipW2FCipEDpuIhLoOf3jHXtomHDzeMclTfTa+9+Qw331yGJNexYESM4fKQjTUjBgTZeGbOUVRZHx8nNnZWTTuSa5O9bG7LomPPuIEICtFw7I/yMfu60IAKrOT5dw9fHf4Vm8WTRRSLUKh1mJKFti7t56FhQV6enro7+9nZGRklagjbDxEf+tb38pPf/rTGWBGFMXqGNdxLRtcOBiO54auDKHwqKWlRda/TlQnK1YKIIoifX19LCwsbGgBoVoZooxKBS9JQHJwcJAj+xpISkri9YSKcG0TixzrsfJI+wQ/OTvLT87OYknWrKjOWDhUliYTN5xLoeKdISmZoqIi+dwSBEFYVWFXKpXk5+dzbFLgqX4b9dmwyzFDUqAfjUYjPww2490vTZNdQlAMEVVCs+CplKbCS4ogs6CUU4N2jg/Yebp/Tp6r3pWZxKGyNA6XhSio0cUxQRDQarWYTCZKSkp4qs/Kf/6+C4tByQfrVRSZtRhNZmb8Oi5MLnNiwM5PTo7yvydGSdIoQ6lCqZmmguS/iYFLcPsC6NQKOZxPTk6muLgYtVoth/MOhwO9Xk9/f/+GBRff/OY389Of/vRGQvPg8bChhYPheE4YuKRwsnPnTiwWS0xhhniINlrpQWE0GlfJNa9v4KEbwBcIhYVdXV0sLy+v2k+mVAjU5RupyzdyS7maeXeAAbeWJ3ttPN49yx8uTqJUCNTnG2nM1mAOLoT+Th07DI23mwzgaI+Ns8PzPB1ao02eUctVxVpqlt0UzPaCP1QJTk9PX1MUMRzyK4VZuChGGrz0+maDWt4eEhRFeqadHB+Y48TAJZkkg0bJ/hWDPFRmJt+kl88hCAL3t0zzqT/3UGox8L3XVpOZopWLdQbHDA0aF9fsS0WbvIOeRYHTw4ucGLBzdKVYl52k4LqpvpDBRxXrEsXlMNlSw0QhpBw8Vjj/1FNP0d3dzYtf/GKOHDnCV77ylXVbcVdffTXA3IYvLEFc8RBdQqxcSgrJJycnYzLAEkG40S4uLtLa2sqOHTti9iLXM3BpEMK57MHlcpGenk59ff2aaYYgCJj0Sm7Zlcst9bn4A0FaxkPe/eG2cf53ZF4+Np40skJB3Cq6QoDq3BS+dEslT/fP8VS/nQc7bNzrC6JWCuwpMNKYK1DhnCVpYAC1Wk16ejqBQCBu/hr7+1ldVY/+W4UgUJGdTEV2Mm87WMiSx8+ZoXmeXvHukkEWp+k5VGamKk2gdWKJX7eOsL/YxNdfdWkNVXixLhgM4nA4sNlsZCzbuTkL7qjIwKlI4uyYi6NdU/yxeYq7z4XUZhoLUjlYmsah0pDmWiJp4GaZbG5fgMyUSw/mWOeRwvn3vOc9/OY3v+H48eOcP39+Q6IW62BDCwfD8ax48Fi6ZVJlW61Ws2/fvk2HYVKILlFF6+vr4xY5EgnRAc6cO49Rp6O4OHbrJhzR4g0qpYLa3GSwDvCSm3IwZhdyvH+Op7sm2Jsb+2muWMODKwQBxNCE06v35PLqPbl4/UHOjy5wvN/O8f45vntiHgjJCV9VpKNmeZnU5ZCCbDhJRZaxll4n7BqCUQ+DRKr4yVoV1++ycP0uS6g7MOfm6YHQNf32/CS+sL7/VSUmph0ekrXK1Q8OhUIu1kGo3To3N4dnbo5K5Ty7KoPkFZYw6lZzdnSJpwfsfOPoIN84Okh6kpqDpWYOlaZxoMQUt1i3+RA9KA+awPpEl2AwiF6v5/Dhwxt+rTjY8MLBcDwrBi6pukgG7nA4aG1tpbi4mNzc+C2SRCAIAqOjo2g0mrhUUQnrGbhrJVfeWVHJwuRQ3GM/dE8r7ROLXL3DQnW6QGXapRtA2k1WVFQkv7dXNeRyMFtgeXk59nUJIdnh8Pd06d+rvbsmTHnlIy8oZXJhWTb2h7rm+L03gFKAPYU69uQKVCxZSR4clL27y6dd9ToioUVX8n9vsHotCALF6QaK0w28qj6bD93bwfH+0Jx4Sbqebx4d4ptHh8hK0XC4LI1DZWb2F5sjwl8JarVaDn8XFxdDlFMxQLJzhiOpfl56rQl0+bTZgpwcnOepvjn+1DqzqlhXn2+U5bIuZ5pMoqmud54r0doUN7FwMBxXJESPhjRRptFoZD3xmpqay97+sLy8zNjYGKmpqQmt+lUqlTGXCoqiSE9PDy5HKFfW6PRrPgy6p5eYc/m45/w4v/AF0SoFDpY52JOrIzMwy7VNtataKdGePuK6YlBV5VYW6289yTHquK0xh9sac/AFglwYXeSepzvoc/r43snQe8pO1XKgWE/t8jJ+d+jeGB8bY9YcGjQJGfSaL5MQFtw+3v/bdi6OLfLOfRZuqUwlPz+fyYVlnl4Rh/jryoCJUoDavFQOlZk5XJpGZU5scUetVkthYaGsBGO325mbmyPPO8/tJRre05jPrF/H+Qk3JwYvFeveuD+Pj76gDLi8HDyc6CIIayumrvf7jULYxMLBcDwrHlypVOLz+WhvD+2zji5axcJ6HkRScMnKykKnW73KJhZiGa3P56O5uRmj0Uh5aQmcb5OLbPGeyCqFwL5iM1+7tZq/Xhjgyb45zo3Pc7QnpFyzo7uDq3dYuGZHOo2FJtTKtQcd1motKoSNKaeqlQr2FZsQZtXs3buHaYdH9u4Pd9n4g/dSx+GhYT85RhupQ0PMz3vxBZTyuONm+s+TC8u869dtjNrdfOkVlVSnemSjyjHquLUhh1sbQg+h1gkHx/tDxTppRZHZoOZAiYmXVGdx9coO8GjBRaVSicVikcdxJZEL3eI0DVo3OysNfNauYskr8oJdl0Z2N2Pgoiiy7AvIo6KJHL9RL/66170O4CRgEQRhDPgUoF4536YWDobjWauiS4MihYWFCXnaePRTUYzcK2a32xNeQBhNipFShbKyMrKyshjqDOmue/3BNT24ShnijuvUSvYXppDhn+VN1WkkZZfwVN8cx3pt/PzUCD9+ephkrZJDZek0ZGuoMomUxXq/wmr++yUyinBZ20uyUyMN6+LYIt97apizwws0Tzj54ISTrBQN044AEKCjdxDR60Kr1aJQKPD7/QkpqHRPL/GeX7fh9gX4wetqaCoyMTo6GvO7VisVNBYYaSww8oFrS7A5vZwctPN0f2hW/IneOU5/9BCwvmGGK552Ti7y0bvb8AeDfKRRQ3Cmj0F/mlx03KiB+wIiAZGIHHwt2/J6vRteg3T33Xdz991358T7vbiJhYPhuOIh+szMDFarlbKyMrkHvB7iGZdUmJPybYViY+IM4cdOTU0xMDBAbW2tTEzQyG2ytQ1crVDgD4aWLfb398srcQRBoCwzhTcfLGLJ4+fUQMjYj/Va+WtHaMZ998lQ7n71jnQqMnSolAIKQYjw0pFFtvgV9o1CEhvUqhS8/v8u8qmbdqAQ4Hi/XV6A8M6H5qnPT6E6XUmZYRnPhQsyHz18+2g4Tg/ZufOeDpK0Sn72xnp2ZIaKnIlGAelJGm6uzuLm6iy+9Eg/v784Jf8uEU10gItjC7znN+0Y1Ap+ens9pRZDhDDE0tISnZ2dsqpNIobolmfBE3swPNdYbHAFPbgoivT29rK4uEheXl7cloFEGinPSCJJG7qcWOSVpaUlWlpaVhXmNrqfLBAI0NPTg8PhWDXAIlXRvQERw4p0ciyolALLXh/nzp0jOzsbv9+/6kZO1qp4QWWmLPx4qmuUxzqn6bAL/OCpQb735CBGnZJDpWaO9dnx+GM/TAQhfntts5DOlpWi5Uh5Gq+sz+Ftd7VwemieN12Vz/G+Of7vQqi2k5mi4UBxMjXLXkrnhwh6XPKASVpaGo/02PnE/d0Up+v53muryU699D1vJsz3BUT5e4DENNGf7p/jg7/rICtVyw9vryF3ZflFuDDE0tISRUVFEfvEJSaayWSK+RCRZ8FVl+SarsBe8CuKK2LgHo+HlpYWzGYze/bsYWhoKK4Rnhmy8+afnUetFNhfksZ1Oy1kBSIn0KTZcolyGo6NePBgMMjMzAx5eXk0NjauunHUYR58raKY6Pex6HRTX78fj8ez7jisIAjszEwiTZHKrl27sDnc/PqJi1yY8vFUrxVnaP8Br//JM1yzM4Mj5WkRbbKtLs7GmiZTKgRq81L44HUlfPC6ErqGJ3myx0rXopLHe+a4rzVUma/LT6UpT0WF286ppwb5TbeX3ZlavnpLKVlR9NXNGXgwghW3nlE91DHLv9/XRXmGge+9tgZLcuw2WbgibVFREX6/n/n5eWZnZ+nr65PXE6Wnp6PXh7TillceunrN36fYA1wBA19cXOTChQsRumRreVkp97xmh4W+WSf/78FuAMrONXN9ZSbl+mXydB727du35rjoepBCNIPBwI4dsduIEtHFGydElyiwfp8HrSE0duj1ehMurASDQdxuNz1tF7mlsZA3m0wERZE3/aKV9iknS+5l/ufYEP9zbAijBq6b7uLxbivpcW7azUOq0IddmyhGVLAtSWpeUJbEO0pL8QdFmscWQ/38fjs/OHUphH7BrjQ+dFUa8zOTjA30kpKSIhvKZgzcHxQjlhiuFaL/7sIk//VgLw0FqfzPq6tjttziQaVSrSrWSYM+0kDJXDBEvNKHefD1DPx578F1Oh2NjY0RFD2VShVXZ02/Qjt8XVM+h8vTGbQ6+e3xDi7O+PnJ08MERDDp1Vwz0s21OzM4Up4esU8qEQ8+PT1Nf38/O3fuZGpqKu5xUmjoCwRRKCNDdL/fT2trKwaDgTSTianFUE87UXEGhUKBx+Ph/PnzVFZWkpKSQjAYJBgMUpuXwrB9md+9Yx82p5fHOiZ5uG2Cv3bMEBBhxuHlLT+/wDU7LVxdnh5XjTRRSJc7YHOxrzhU5Y9FVZVeQxr13FNo5M7rSph1eHh6wE4gKPKK+uzQgyE/ND4qMdJaWlpYXl7GZDKh1WoTVj8NefD1Q/SfnBzl648PcrjMzNdeVRVRCNsM9Hq9vMNOmhPv6wmJlo4NDzCkW5IFLuLhH8KDS9XXcKzlZaUWhFTQKLEkcVOZjqvMc+S/eDfdCwqe6JnlWK+N+5qnQjdbkYnrd1q4dlcGmfr402SSx5UEH30+HxMT8aWkpdDQ6xcRVJdC9GjyivpCs6yQmmiKYLPZmJubY9++fWi1WgRBkKvTapUSUVxpASVruaUuh3KljbqGRm763jlml3xMzzv56mMOvvrYINkpaq5ZKdQdLjPH7B2vhYwUDXq1gi89MsC3jw2zv9jE6aF58oyJVYAzUrTcUrd6v7ogXFrLW1JSQk9PDwqFQlY/TU5OlnP3eOKboRw8foguiiLffGKIH58Y5caqDD73sl1brgIjCz9kAlip2FGKTudnfHycxcVF2tvb5Sgl/H1sJgdPYJpMYBNLByU8a0SX+AYeevJKBj42NobVaqW0tJSighzKCuCm6iwCQZGLYws80W3laM8sn/9rL5//ay9FaXqqzUE8xjm55wyh/rY0nSbl24FAYN1xUYisos/NzdHZ2Ul1dbVMXlEpFTINcz0PLj1kbDYb6enpsnFH9HYVCoKiiFqtZmlpiY6ODsrKylApBPYWGGmbXOK+dzQwtbjMI22THB+w88fmSX5zfpJP3ZDDSxvWn3UPR75JzxMfPMCZoXme6p/jqRUZ4/EFD6/44TmOlKdRnSZQuvG1ZxEI1y8PX7skKblKRiKpp8DqIlt4JBEIinz2oT7uuTDJbQ05fOLG8lUz6rGwWYaZVGRL0WvJzrag0+mYnp4mNzc34n2YzWZ0Oh0LCwsb9uAJTJNtaumghGeVqhoL0mSQy3NJdaWoqGhVvq1UCOwpNLGn0MSHX1jOqN3NsR4rj3XN8NdBO3/uP0+KTsWR8nQOFKVgco1TW1FGdvYlT5P4NFnIwK1WKy6Xa9XGFJVCkD34WgYeCARobW1Fp9NRW1tLc3Mz58+fl3O/pKQkXL4ALeOLKBUCNpuN3t7eCFUcpVIRkiRWKslO1XHHwRLuOFjCkM3NK398EYfbS3t7+yqDWQ8GjVKWMhZFkWu+cQq7y0d6koZfnB7HHxQxqAUOlro5Um7mcFlazK2iayF6N1n42iVJHGJiYoKuri6SkpJCs/B+f0wP7gsE+fj93TzUMcs/HyzgzjgST7FwOaOiECmZrFKpYq6Peuihh/jSl74kb8R55StfGXHvxUMC02SbWjoo4VljssXaTwaXPHh3/xAHDoToiKOjo+sWzgrMet6wv4DX7c3lyZNn8KeX8Xj3LEe7ZnmwLaRI0tA/xnW7lrlup4WyjKSEh008voCcqzc1Na0qrEhEF4j/0FheXubixYvk5eWRk5ODKIo0NTXh9Xqx2Wz09/czNufkOy0BRhf9vPcqCwMDAzQ2NkaEfUpFyMDVajVqtZpgMLhyo4VuWKPRRHV1aHWRpB7a1dUlV/fT09PX3XApCAIl6Xp2ZBj40etrcXr8/PXiECeGFrk4scij3aEe+a7MJI6Uh9YV1eWnRhTDYmGtIlu0OITk3ecXl/AFQuuoJIKKNwgfuKed4/12PnR9CW89UBDznPFw+VtN4otPSOuj7rjjDubn52UBkrGxsYQMPAFsaumgfH1bcQXrYc0No455AJJN6TIRRqK2JgKFQoFWIXJtRQYl6kVekZeE0lLC8cEFjnbP8pVH+vjKI33km/VctyOdrKCPBn8w5o4s6WcDQyNU7Qxty4hVNZWILhDbg0uKqxUVFaSmpkZUgrVabSjEE5P54mOtuL1B7mzQUKayolQamZ6exmKxyEXK6D64RO7RrMyWK1VK+aaSRCAAzp07J+vawSW1mFhEFZDGRUM/T9KqOFScwt4cDQUFBfTOuniqb47j/XP89OQoPzoxSopOxYESE0dW9pPFak8lWkUP9+46wzxJAqSkpDA5OcnI1Cw/7FTQaw/yiX8q4bVNGzNuuLxJMkh86YHL5aKuro7bbrttw6+1BmJ9gH87qmqsLzRWiC5RTmdnZ1EpBARVmNdSKuNOXsV6PVEUuXDhAklJSTTt3YsgCOwpsXDn9WVMLSzzRI+Voz1Wfnt+Ao8/yHdbjnG4LI3rdmVwzQ6L3IbyuEJyQqkmM5mZprgPGbVSkKWdog08nCEnceSjP5O/dszwsT92kp6k5qMHk6jKM1NaWorb7cZqtdLZ2YnP5yMtLQ2f1xuzDy6dUhAUsseXvPvS0hIAeXl55Ofny2HkyMgIS0tLpKamYrFYIkZIg1Hz4OFU2Z2ZSezMTOKfDxbgWPZzasi+YvB2Hu4MeffK7GSOlKVxpNxMTW7qys7zxFho4fAHRPS6kE67wmDi3x63M7ro51+PWNilsnLu3PSGt7BsdhZ8M2uLrkAVfVNLByVcEQ8efdNHh+hSy0mn07F37170jz2JK2wIYiPsNKfTidPppLS0lJyc1ZTebKOO1zbl89qmfNzeAD998ARTCgtHe6w83DmLsDLRtDdXT55iHgCNzoBiTSbbpSKbFKKLosjAwAB2u53GxkaUSuUq4xZFkR8eH+abRwepy0vhn3cF2F2WJ1+3wWCImJqy2Wwsu60ycUjK3TUajfxYD79ChULBwsICXV1d1NbWotFo5LxR2kIqCAIOh0OWCpaWEgYCARREGkush3WKTsULKzJ4YUUoLeiedvJUf8i7/+jECD98egSjXsXBUjOlOjcvSfOzkaFBqcg2sbDMO37VyqTDz+dvKubGupCOnfSwkraw6PV6OTqJV2i83Bw8fOnBWunOFVJU3dTSQQnPquADxKac6tQK+cOExA1cElXU6/UxjTsaeo2S+kwlBw9WIooinVMOjnZbeahljB+fubSO2bsOky26yBYMBmlpaUGj0VBfXy+HpuEG4vUH+dQD3dzXMsWLdpl5RZ6L2uqquIsYlUolmZmZpKXNobLa5A0xzc3NAPi1K+OoUdGDtB9NKgpKHkfy7sFgMGJzp9/vx2az4V5eBp+b7u5uLBZLQp+/EKbw8vZDhSy4faH57BWD/4vTx3efaWV3TgpHys0cKUtjd27Kmm09XzDI2Pwyb/zZRVzeAP95xMyB4kujt9Erk10uFzabLYJ+mp6ejtFolI36ckZF9epLk4CBQGBNlZbNEF0SmCbb1NJBCc+KgUsfkBS+Rs+CG9RKuaAB6xu45C3n5uZoamri3LlzMY+bmF/mP//USSAocu3OkPJI+DXtzDDgnV7khn/KJC23mCf7bJwetHPtTgsKhWfdaTIITRA5HA5ycnJkrfBo47a7vLz/N22cH13gLXszOJK2RF1dQ0KrcyAkBCnlqCUlJXi9XjqGQkXAvv5+2jV2gsEgXq+XxsbGmNNfUu4OyAQbSSs8NHI7jdGgltf0zszMyLrvEn1zPRj1am6syuDGqgyCosgDTzcz7E3m9MgS339qhO89NYLZoOZQaagqf6jUjMkQ6RH7Zl0ApCWp+ekddQTnRtfcWiMtMpAeVvPz8/KDX6fTyUXGzYs9XArJE2GybVTjIIFpsk0tHZTwrITowWCQ5eVlxsfHY24o0WuUq0L0tRYQtra2otfr2bNnT9wv7uyQnQ/8tgWvP0hWqo7PPdTD5x7qITdJ4CXOXg4WpSJa+ykuKiIvLw+AWxvzuLUx9G+r1Ro3RFcrFARFmF9YoL2tTd7cGSvnHLA6effdLUwvevjXwxZqTV5qavasW9mWECpUR16HRqMhMysT6Ke4uASvd5bl5WUUCkVEKB9P4y7a2EVRRFwRUZaIKnq9XhbH6FlZ0hgu3byewSgEgRKjkheW5/H+6/XMu3ycGAzl7k8P2HmgbUbWmwvl7mkR98DP31hPUZqeDlvidNdw+qnk3aVUZHl5WX5YJXL9AO6VtUUS/kY5+GXhintwr9dLc3MzgiDEHPCAUKtMqlhC/GUG0hKDcDkkCeEV27vPjvHfD3aTb9bz3dfVUZaRxMici8e7rdx3po+fnBjmf4+DUafi2l12rtul4khZOslhFNg1Q/SVdlpzaxsNtTVcuHCB7u5uMjIyIpRNTwzM8aF72lGrBD51xERFhopdu3ZvyJuE9NpW/1z6FMfGxmiqy5L145aXl7FarXR3d+PxeDCbzXJBLdbrSj8TAdWKWqjb7WZqaori4mJ595ooiiwsLMjDGeG5r1qjwe7ykWZQr6o5SP9tMqi5aXcmN+3OJBAU6Zh0rITydr775DDfeXJY/rtDpWaK0kIRw2bD63DvrtfrmZ+fx2QyYbVa6evrQ6fTRQyXxEKstUXrVdEvV6Voq3FFDVxqF+3cuZPe3t64x+nVqz14tIHPzs7S09MTc6JMOj6Igv/+Sze/OTfO1TvS+eqrqkld0SYvTDPw5gOFFHsGCCr1OJLzOT6wwLGeEAVWrRTYW2TmupVQPjlOf1sURRbnQ1pjNbX16PUaDhw4EHHz63Q6TlnVfOfkDCUWA++tVlBZlEZBQcGGOeTxxkW93hC3P3Vlq4gEnU4nc6oleSPpszMYDLKHiy5IBVckmzwej6xMK0k5Sbm7yWSSawbLy8vY7XY6Ojp4amSZ/23zkWfUcM0OC0fK02gqMsVtkykVl5ZKvOfqYuacXp4esDMy5+b7x0fIN0eOnF6uLrpUHAsfLpFy9/DoRBodlYx42RdEp4r04Gtdi9vtTjDtevZwxQx8dHSUsbExWQ55YGAgbg6j1yixOS9ppYUbuCiKDA4OYrPZIpYYhEOhUDCzuMxH/tDFMyPzvONwMR+8oSyCxhgMBunq6iIQCHD1ob2o1Wpe3lCAf0Xl5Gj3LEd7rHIoX5Kuo86i5LakeRoKjCgVIY/e1taGGAx1BAIrveNwSmYgKPL5v3Tyq2emqbUoeUPpEjnGjLjFtPUgxJBsWlpaor0tpJybmhp/jU64vJEoijidTqxWq8wYTEtLw2Kx8MuLc3RPO9mbn8zFixfZvXt3xEM0ulAniiI6nY6cnByys7N5xjkBjJCuFfnd+Ql+dW4CrVKgMk3BjcvTXFeRKc9ox0JakoaX1mQB8Muz46uYbJercRYrCjAYDBgMBgoKCggEAszPz8sEJK1WS3p6Ok6Pb5Xg4loefCseRluNK2LgfX19LC0tsW/fPvkDkYw2poGrlTGr6JKCi1arXTPfHl4M8pGfXmDe7eOrt1Zzc00kg0hKE8JX3kpQKRXsLTKxt8jER/9phxzKP9YxxZ96Fvlj9zlMBjWHS80Uqxe5YXcuudlGYJGAGFlMc3r8fPT3HTzRa+PWWgv/lOFgd1UNHo+HkZERHA4HRqMRi8VCenp6Qr3Z6HlwafVtRUUFPNWcsJyTIAhy9Vyiis5abfzH/Z08NrTM4Xw1h5Kt7N5dH5fqGit3DwQC8hV89/Z6FILAib5Znuie5eTIEl94dIgvPDpEcZqOa3dauLo8LeYmFAmxBB8u12jWO4fUKpRIQtLo6MKSC70yJMiZnp6O3++P+51t1Q61rcYVMfCioiIUikihwXBl1Wjo1QrcYSG6lP+ePXuWwsJCuQgWCw+0TvHp4w7SkzT86q172Z0beXNKumvl5eVkZmZis9nWpKtKofytNWm0dvVi1+XycPsER7tncPrg+82DcotseM4t7+iaXFjmPb9upW/GyfsPZLLX5KK2do8cCmdnZ0fksQMDA2g0GjIyMiKYa9FQcClEn5iYkKOihZWAZ7NiEH4UfPbYDEeHlrm9Lo3rM5xYLJl0dXWhUCgi+PKxblzJYJRKJShCN71Oo0YpwPWV2Vxfmc3FixcxZJdwtGuGE4ML/OL0GP93aowktYKrSkyhja1lkXvOfIFgwvPgiWK9nd7RkEZHBfUUWWY9FosFm80mT5LFWxu1USN/6KGHuPPOO+np6ekDfiSK4hfCfy8IwrVcxl4yuEIGLhEswrHmRJkm0oPPzs7icrnYv39/3E2OgaDI1x/r43+PD1NpUfPN26opyo407pmZGfr6+iJ01xId71QoFOiUsDdTwLTo5lMvaqLH5uOJXhs/ORmiBr/xZxcoyzBgSdJwemgevVrBJ69Jp8Lop7q6MeYGDCmP3bFjB263m9nZ2QjmWkZGBkajMWJIIyiGuNkOh4M9e/aESDTe2PP1icDu8vKeu1tpGV/kPfvSOZjpp7b2ktKtx+PBarXKu7ZMJhMWiyUudVfSdNdqNHIqMzY2hkqlYkdWKjuzjbzzWnB5gxzrmuRYr42zw3Ye6wnNWOzK1HPNyj63oMiWh+iJbBaNBbcviF5zaT/6/Pw8O3fuxG63RwhDpKenb3iLSSAQ4L3vfS+PPPIIZWVlVcBZQRDuF0WxI+rQTe8lgyvYJlv1QmtNlK1U0YPBIENDQ1itVgwGQ1zjXnT7+PC9bTzZa+O1e/N4RVEAoy5yZlhilUW35RI1cEEQcDqdDA8Py8y0PckCe4vN7MpO5t/+0Mnr9uZx97lx+ld6t25fkCeHXBj3FFPqE0lZJwLX6/Uyc83v9zM3N8f4+DidnZ2kpKSQkZFBMBggEAzi8/moq6u79NkK0ntd961EYHzezdvvamZifpmPHjKzN0tBVVV9hJfUarWyUmkwGJSljaT8VPLuUtQhqfKEJJ5DFGSHw0FDQ0MESSRJK/Di2jxeXJuHKIp0TTl4rGOKE4ML/OjEKD98OvTg/O6TwxSa9RwqNW9J6LtVSw/gUu4e/tlMT0/zpje9iYWFBb7+9a/zkpe8hJ07d6557jNnzlBeXk5paSmiKHpXmGovB6IN/LLwrMkmrzlRplESCIo8c6GZJL2WvXv3curUqZjH9s86ec/dzYzZ3Xzm5gpe25RPZ2enbLTSiKZWq6WxsXHVF5uIgQeDQbq7u/H7/ezfHxq9DSevqBSRIhVlFj0HMgJM+XScHXdx9N6O0Cx3kYnrdqZz7U4LBea1q6sqlSpiumpxcZHp6WkmJyYQxVB13OVyyUwpafXvRiSVO6ccvPNXIW7Axw+m0pCfRHl5+ZoGFF5AhFD1OZov73T7kNLmnp4e/H4/NTU1EZ99NMkmEAhQmZNKZU4q7wMWl/080DzOV46FaNYfu68LhQAlqQIv9oxwpCyNyuzYgzLrYavWFkUj/LP585//zBvf+EaSk5N58MEH1zXw8fFxCgoiBmfGiD3nvem9ZPAsG3g8D64UQz9PMqZRVX5JWjn66X20e5aP3NuGRqXgZ29uZG+ROeLcbreb5uZmuU0UC+sZuNfr5eLFi6Snp7O4uCgbVfh1SEWgPzZPcWNFGrfkOqnZXYXZbL4kTNFj42iPlc//tY/P/7WPsgwDbz9UxMtq1x8hFITQ6l273U6GJR3/mI3/fcZORcoMJckBMi3pKA3xq+excHJgjg/8to1krZJ/36elodSyak95IojFl19YHEQQ4Pjx4yQnJ1NVVRXXoKRCnUqlkgt1wWCQVB28uCaXrxyb4KM3lFCVqePRjimO98/JixHSDaqV9cxpXFVsjpDuWguXs/QgUcnkpaUl0tPTefvb357w+WP9OOq/L2svGTyLIXo8A7darcxOjQOQlpEl/zx8YaEoivzwqSG+/ng/VdkpfPu1deSadBHHLi4u0tPTQ1VVyNDiYS2WnMSTLy8vx2w2o1ar6e3txePxkJ6ejsViwWQykZEcGvZ4S1Mmh0yL1NbWyZ41QpjiBWUMz7n44D3tdE8vcWrQnpCBOxwO2traqKysxFysYnRJ5M9d8/whECRJo2RvvoPi5BB3fmx8nMl85Sr5oHD8uW2af/9jJ8Vpet5TLdKwq4isrKyYx24EEl/eZF5AKbjIzMxEo9FEjKhaLJa4emzhhTq1Wo3gWcnlVQrqCkzU5hu57sIFinZV81jHJE/1zfFwxzR/bJlGKUB9fkpIuqo8jVKLIa5334yB+wIiwbClB+upwmyUh56fn8/o6GjEj4iaErvcvWTwLHpwlUoVEaKHj4tW7CiFjm5cMVplngB84r4OHmyb5uaaLP77ZVWyUKOEpaUlWXdtPaJBPIba7Owsvb297N69G4MhdLNIeajkqSYnJ+nq6iIlJYWfvjQdRcBNXd3euLRTbyDID54apnt6iZfWZPHpl+xa93OSmFa1tbUkJSVhAn5wex0ub4BTg3aO9Vp5osfGsYFQGf3/WlwEFVPsTB4mP1khD2JIUcdPT47w5Uf6achP4Z93+KjfvUsOt7cCPp+PqekZlAoFu3aF3p/El7fZbAwPD7O0tCS3B9PS0uJWtANiyEB12pC4RVdXV2h4JEnDq5uKeHVTEQERzg3aeLxrmlPDDr72uIOvPR7Sqbu6PJ2rd6Szr9gUEVpvxsCjlx6sV+zbqOBiU1MTvb29DA4OUlpaqgFeC9wefoxwmXvJ4FkO0SVl1UAgIK8O3rt3L4sriiHuKDbb6JyTD/+hm67pJT76wnL++VBRxIcs5coul4vi4uKEWETRIbooigwPDzMzM0NDQ4M8YBHd4pPyYynHDyy7ERUKWltbY7a6Ftw+PnhPG6eH5nnvNcW85+r1JYbGxsaYnJxcpeoCIYklaVVvUBQ5NWDnbXeFJst+fnEegJxULfvy56lItVJk8PGXMRV/6nFyfbmJVxe6aai7/IWP4fB4PDQ3N2NITkalXIz4nUajIScnh5ycHFml1Gq1Mriy5TQWX96xHHIAKgE6OzvR6XSUlZXJD+VAIIBCFNlfms7+0pDU1LTDw6PtIe9+X8sUv70QYiW+sSmXD94QWhS1mXlwtzwLnrhk8kYMXKVS8e1vf5sXvehFAJ3AT0RRbBcE4V2wNXvJ4G8Qorvdbi5evEhBQYGcJ0seOZyP3j0X4BsPNxMQ4Qevr+eaHZaI80lLA81mMwUFBQkvPwgP0YPBIB0dHYiiSENDg3zt8QzR5/PR2tpKWlqaXNGObnWlp6fj1aTy0T8NMGpf5gu3VK4blosrbTCn0ylX7NeCQhCoyg0Z6r+/qJwbqzI51mvjiV4bD/fOcZ/8OXrQKuE60xzJBjOLi4toNJpNtYyiIdU7du7ciWZ2FpXCEf96V1RKpdQpFl/er0nlww8Mo1cr0CxNkpyXRnFxccQ5YpFsslN1vOFACa+/qhhfQORUv5UvPz7M452THDbaSUtLw+PxbLg4txzlwRNZerDRUdGbbrqJm266Cbi0sm7FsKV/X9ZeMniWQ/SlpSXOnz/P7t27I6ib4cqqoijyq7NjfPb4AgVmHd9/fQMllsgPLjxXzszMZGJiIm6FPhqSB5fYbRaLRX7QrGXcLpeL1tZWSkpKyMzMvHTtUa2uY+2jfPx3HQRFMTTLnBOfwQehm7W9vR2tVpvQCmQJsuCDGJIxvrUxl1sbc7Euebn6a0/Lx3kC8B/nFFRm+dmTPcPO5DEKksFisZCRkZGwXnk4lpaWaG1tpaqqCqPRSFCcQZGAuqmEaL58y+AUd97bg8sb5H01Anmp6jXn+yNINlyi0CoUQa7elckvL8ziD4rU1FTJwo4XL14kNTVVlm1eb5pPVnNRJSbX9FycJINnycBFUWRmZga73c7BgwdXeRBJWXXR7eM//9TFb58ZZ2+uli+8vIKCKOOWyCvhM+VrFc6ioVAocLlcDAwMUFZWFrGBI96NPj8/T2dn5yqOdjQe6bbx7w+MkG3U8b3X1mBSeiP6x1J+LL1/Sdo5MzMzumWyLqRLDY/XZhwe3vmrZlQKgQ9clcae9ADarFKe6rdzrNfGXc3ziEBGsoZ9+QvsNtkpNnjJTDORkZERl8gS67OQagSwehvJRtBvdfOB+4YIouRj+7XsKc1CEARaW1tlpdiMjIwIaeVoRHt3X0BEp1bIbSyNRkNdXR1utxu73c7o6Kj8u3hsvWX/ag++Vh7/XFx6AM+CgQcCgQhZ31jhoTSS9+kHulhc9vOuI8W8KM+PPuzqwodO9u7dG5GjxhsvjQWXy8XMzIy8fWU9KuTk5CSjo6MRKinREEWR/316hG88PkBjgZH/eU01ZoMGSJLDUmnQQ7pxjUYjVquV8vLyy6poSynZgNXJO+5qYd7t498PmajLUlFRUY1CoaAq18g7jxRjc3p5qs/GEz02nuif48/eAFqVgsY8N3UZY5Qbeskx6mXvHv1+pQJg9GcRDLLh5QsALeOLvOOuZnRqBR+pV3NVVbH8WUh8+bm5OUZHR3E4HKSkpMg8/ngeWKFQ4A2ImA0q1Go1g4ODJCWFFHWTkpIwGAwRk3ZDQ0M4nU6ZkSbp1Lm80l6yxHJwl8u1pcXLrcIVzcGlPC0vL4/09HS6u7tjHi95cF8gyNdvq+Gm6iz6+vpkow0vysUaOknUwIeHh7FareTn58sL5uJ5BSkvXlpaiquSIl3zZ/7cw+8vTvKS6iw++7KKmIqt0mxyUVERNpuN9vZ2kpKSZMadVGFOtNp7iegCF0YXeM+vW1AqBD55IInagtBmkej3lp6k4Za6HG6py8EbCHJueD6Uu/dYOTkcErncmaFkT46NnckTFCaLZKwUw9xuN6OjozELgP6gyEaXi5wdsvPuX7eSZlDxgRqB/dWlZGRkRByjVqvJysqS59EXFxexWq2MjIysyZf3rKjmDg4O4vF45NXO4SSb8Ek7QRBYXFyUDV6lUjHqChVMw/XY/t72ksEV9ODSRhCpL+31euPmyRnJGj50QxnX7rRQkX0p7A4EAhH64vHC2PVCdGlU1O/3s2PHDgYGBmRtr1heWYo6dDpdJD00CovLPj54TzunBu28++pi3nfN+pXymZkZBgYG5JZeMBjEbrdjtVrp7e3FYDDIVfl4fW24FKKf6J/jW0cHyUrR8IE6JbWlWXFJPuHQKBUcLE3jYGkaH/uncgasLp7otXGsx8pvWu0ERUgzqNmXv0i5YYZi3TIFORnY7XbS09MjHnhBUUxow4iEp/psfOC3beQZtbx3t8j+2vVbd4IgYDQaMRqNlJWVrcmX9/qDeN1OvF4FVVVV8ncSj2QTCAQiNo96vV7anxkBoK+rHbUjTRbRjIelpaXnnNgDXCEDF0WR8fHxiI0gazHZBEHgXVeXRPxMqVTicDgYHBy8LPKKz+eTmWmFhYWIokhycjJWq5X29nYCgYAckiYnJ+P1emlpaSEnJ2dNQxmzu3nX3S2MzLn5/MsreXmMXV3RGB0dZWZmhj17Lkk2KRQKeTpJmtmenZ2VxRUlY4/2UtK/nh6wU52TzNsrAtRXlKzygolAEATKMpIoy0jinw8WMu/2cbxvjid6rBzrtfKQN4hKoaAx30N9xgTlhgFyUi9NwgWCYsIh+sOdM3zk3g7KM/S8uzLIvrqquDMHa2EtvrzDtYyYrIoZxUiIJtmEz7qr1Wq0hmRghsbaagx4GB0dxel04nA45O8rvC26GUXVBKbJBC5jLxlcwRC9trY2gv2zkT3egByO7d+/f93+9loST83NzZSWlsqiB4IgRNAtfT6f3J91OBz4fL4IxddYaB5b4H2/acUXEPnRG+rYVxz/4QOhB57EiGtoaFhTRFCa2ZbIItJN63a7MZvNZGSExCPUKgV6tZLG/GReX7JM/RoKrdHX8uMTI/zo6REqs5O5bqeFa3daKEy79Bmb9GpeUp3JDs08d+xMx5OStxLK2/jhSKgdVpou8La9bops3czaFgn4FNjt9gg102j8sXmST97fFXog7fSxr2Fr+vJSwcxsNodmCMRlUpMNEXx5i8Wy5rVFF+q8wRXSjVpBqj5VVmtNS0vDbrfT3d2Nz+fDbDbj8/k2vHgwwWmyy9pLBlcwRI8WXky0FSOKIt3d3SwtLZGXl7cp8gqEtnl2dXVRXV2NwWCIW0xTq0MtGYmWWl5ejsPh4PTp0yQnJ8teSgpJH+6c4d/+0Elmiobvva6WUsvaX6pUP0hKSqK6unpDLSmNRhPBprPb7UxPT9Pd3U1ycjI/fnk2znkr9XV1Cd1cQVHkSw/38fPTY+wrMmF1evnCw3184eE+Si0Grttp4Zod6dTmpdDT1Rlq3VXvRhAE9hWb+egLyxmyuXiy18bXHx/gwizccnMDqZ3NOOZdMtMvOTlZzm+lSOXus+P8v7/0sLcghbfu8NLUkNg1JwpRFOnq6gpFiqKAxWyksbFcntKTri0pKSlCXz4WFAoFHn/o3jUlG/C6nUxNTVFVVYVGo4moCywsLPD973+fY8eOMT8/z6tf/Wpuv/32dcdHE5wmu6y9ZPAs9sETQTh5pbS0lIWFhYT+Ljr8HxkZYXJykoaGhhDHeY1iGoRC5+npafbs2SN/6eLKruuZmRmGh4dRqVQcm1bzo3M26vNT+fZrakhLip8jwyUlmfXC/UTfY7j80vDwMCMjI2g0Grq6uuQ0I56SqjcQ5JP3d/FA6zRv2JfPx15UjkIQGLW7eaInRH/92alRfnxihGS1QFOBgZsbMsn2BCKGOorTDRSnG/jB8WG5sBYkJPZQVVUl7xmbnZ3lwoULKBQKjk6p+Ol5O4dLUrmj1MvexkQloxODKIp0dHSg0WhC+bl/XC6ORU/pLS0tRejLx+PLO70BBMDvcdPe3i5rCoSTbCSdun/7t3/j6aef5uMf/zhnz55NiDWX4DTZZe0lg+eQgUvklbKyMrKysrDZbAm3viQPLlFXvV6vPIu8lnEHg0F5vDF6tFQQLu26Liop5TN/6uT3LTPsz1Hxz5V+5qfHUK/k7bHO73K5ZDKOJPS3VRgbG8Nms3HgwAHUavUqZlh6enqEcITLG+CD97RxvH+OO68r4R2HL1F+C8x67thfwB37C5hzuPn1Exfpcqg5N77M0YH20D72QuOqUD487w7/tyAIERruX3u0l5+eH+eqHBW3Zs+TZsrG5XLF3CO/GYiiKBdEy8rK8AVDA7SxOhnR1xaPLz/sVPLLM2PsyjTQ2tpKTU1NhGAIRJJsTpw4wcDAAJWVldK20ISuO9aPoy85gWPWxBUN0WMh1gC/pPpZW1sbQV5J1MClWfPz58/LainrkVckfXWj0ciuXbviHudY9vOh37VxYsDOOw4X8YHrSgj4/XLe7nQ6MZvNoamqFb1tiQxSXV29pZVVqXXncrkicvloZpjNZpOFIwRtMl8+46R71s1/3byLWxtj1xY8Hg99na3cur8sxLkPijRLY6+91lWh/OLypY5IIAbRJSiKfOGvffzyzDg3V5p5ZaGH+romuYgoqbwm0jGIB4kFmJSURGlpKQBeiaASw8CjEYsvf7xrnE89PotJJ/DmUjfl5bvXLJ6dP3+ef/3Xf+XUqVMbKnAmMk3GZe4lg2fZg0vVbunpJ02UWa3WVYqpGzFwt9st7yeTVtqsZdzS1s2ioqI1V7yOzy/z7rtbGLK5+H8vreBVDSH6pGIlb5dujPDcWKVS4fF4qK+v31JmUzAYpLOzE5VKJfd1YyF8MGZi3s3bfnmR8fll3lunoZQpRkcDq9qD4bxyqV2lVAg0FppoLDTxLy8oWxXKA/zq7DiOZT+nh+apyL70XgNBkf98oIs/XJzi1hozN+d5aWhoRK1Wy9tGwlVeW1paCAaDEd2M9WoVksKt5I0lePyhWoxWtbHhEoVCwYhTwX8dmyMzVcf7dwfYVZjN2NgY/f39MfXlL168yPvf/35+//vfy5txE0Ui02Rc5l4y+BsYuKRMKfWaVSpVTPJKogYu9dv1er2cn64V+i0sLNDR0SHzqOOhdXyR9/y6Fa8/yA9ur+VAaew+rdTmSktLk6fSMjMzaW9vR61Wy/TUjWp2hSMQCNDS0oLZbKaoqCihQl3frJN33NXMksfPj95QT1OxWR6MaW9vx+/3y+23gYEBqqur16ThhofyjmU/+7/0FABP9YV01bqmlnjLzy9wuDydh9pnaJ908Ib6NP4p10d9/WqiULTKqxQuS1HRWjpwwWBQjr7CB1LgkoHHCtHXQsv4Im+/qxmzQcWdNXB4T50cfUXry1+4cIGZmRn+9Kc/cd9991FWVrbO2VcjwWmyy9pLBiCsM322Sc3OUAgcbaAXLlxg165dKBQKufgUT1VEEuDfu3dv3NcYGxtjbGyMmpoa2tvbUSgUZGZmkpGRIUcDEwvLfPmRPtIMGhoyFZh9Vhrr69Ys8jzaNcu//r6D9ORQpbw8Y+1qr1T5DwQCVFZWyg8YyaBmZ2cJBAKkp6eTmZmZkIeSIBXq8vPzE1qwCHBxdIF3/7oFlULBD19fS2X26jTB7/czMjLC8PAwGo1GbsElwkcHqP3vJ3jLgQI+cF0pNf/9BAAFZh2j9ktrn28u03LrwQoai0yyzFUikPraVquVubk5mccvhfItLS2kpaXFvHeGbC5u+s5pvvSKKm6uSYwC3DaxyD//oplUnZIP1cHhxvgPO1EUeeihh/jsZz8b2vIqCNx1111yirBJXDG95Wc1B1cqlczPzzM4OEhlZeWa7KW1PLhkUMvLy/I6pMbGRlwul0wSEQSBOVL4f0/M4vIFCAZF7g6IpGiVXD05wPW7MjhSnkayNvIjGLK5uPO3bdTmpfLt19aQvk6lXJoPT0lJWZXLh0+ahffbpbxdWnUUL+KQCnU7duyQNbvXw5O9Nj70uzYsyVp+9Ia6uFpw0pK+AwcOoNFoZDnn/v5+dDqdbFBxV/KusNeUCoHq3BQ0SgVqpcCofZlCoxqjBh4a9PJAfzNGvYqry0PadIfL0taVWoqlAzc7O0tbW5usLW80GmPWcy6F6Ik9UNonHLztlyHj/mAtHGpYe6Cot7eXz3zmM9x1113U1NSwsLAQt3PxXMCzGqJ7PB76+/vZs2fPuh9KPGKM3++nubmZ1NRUqqurI/Jtie9dXFzMA83jfPKBXoxa+EitSL5Zz4I+h1OjLo722Phz2wxqpcBVJWZu2JXBdbvSyUjWMuf0IgLvu7ZkXeOW9nbn5eWtSYyBS/328Lx9ZmaGnp6emP12SYN7vQm2cPypdYpP3NfFjswkfnB7HZbk2Nc/NTW1ilcePq8tFcKkwZjo3FgUQ3JG4VX08xMLKAX40IE0DuaqqKqqYskT4OmBECPuyd45/tQ6HbcqvxakARGbzUZpaSk6nU4eQElNTZUjD5VKtaEQvWPSwT//8iLJWiV31sLhxt1rpm2Dg4O88Y1v5Gc/+xk1NTUAm2LhPZt41sZFe3p6cLvd7Nq1K6EnnkKhWNVKcLlcNDc3U1RUJPc1o4tpoijyg+PDfOvoIPX5KbxtV5CS3Az0ej0zMzOkZzi5fYeF6YCBM+MeHu+x8uk/d/OZP0NdfipZqSujnIG1WXdLS0u0tbVtyLuGv7dweqrD4WB2dpbh4WHUajUGg4G5uTnq6+sT9g4/OzXKFx/uY3+xif95Tc2qyESCRJeV1GtiIfxBGZ0bm81m0tJDbb9w/rlaKfCh/UauytfKkUyKTsWNVZncWLV2Vf7aHSHv3lhojEl5DQQCXLx4kezsbHkJRjjRJFwpZtIfSqfW8+CdUyHjNmgUfLAWDjesXZMZGRnh9ttv58c//rEsDvL3gCuWgwdXtLylmWfJC6WmpiY8HnnixAkOHjwIIC+627071LaIVUzz+oP8x5+6+FPrNC+uTOeWXCeVu3ZE9KGDwSBzc3PMzs4yPz9PcnIyTrWR89N+jvbM0T55SZnk7YcKuX6XhZq81Igbb25uju7u7oj+6FZheHiY0dFRtFotoiium7eLosjXHxvgRydG+KfKDL74isqYFWRp3NbhcKySNE4UUuQxMTXDa+6d4jWVet5+qJD+JRWzU+PU5CSvK8MsIbwqf3Z4Hn9QjNnGkyK23NzcdWsQbrebvzaP8PGHJ/j4Pg37yzJjUlS7ppZ4yy8uoFcp+GCdwNWNa9N8x8fHue222/jud78r349bjL+/HBwiueDZ2dkMDQ0l3PoKx/j4OKOjo9TX18shZfQNOuf08oHftnF+dIG37c/iQOpCTAMMHzOURhBnZmZo1No42KRj1JvPvz00BsBPTozyv0+PkJGs4fpdFm7YZaFQ52FqYmzN+fDNYmhoCLvdzlVXXYVKpVo3b/cHg3z6gdCo6qv35PIfL94Zc6pLiqACgcCGVGOiIUUeSakmYApLejrLy8sEJkbIUCpRq80R2u1rQarK1+Sm8o5fNWPUqzlYFlmT8fv9XLx4kfz8/DXbmRL0ej2p5nRggrrq3Rg13gj6bEZGBnMBHW/7VRu6FeM+0lC5pnFPTU3xmte8hm9+85tXyrivKK6YgTscDi5evBix7net5QexIBXTXC6XXEyL1d/un3Xynl+3MOPw8olrs9mpX6K2tnFd7bHwEcQdO3bgdDpx94cknN9eq+OfdmfTtaDkqcFF7m+Z4jfPTKBXwTU7M7AlLXCkXBU3FN4IJAOUtpdID6+18naNPonvNXs4Mby05qiqpDun1WrZuXPnlizIC6xEfTqtmoUFO6WlpWRlZckjr8vLy/KAh0T+iYVzw/O86+4WLMkafnpHPTlhG0ilKcDCwsINCWJIObheqyYzwySncg6Hg3O94/z7w1OoFALvrRRoqty5pnHPzMxw22238eUvf5lrrrkm4Wt4LuGKGXhKSkpM8oqkrLoe/H4/brcbQRCoqamRZWujb9AT/XN86HftaFQC/++6dAqTfOzevb5wYSwkJSVRWlwEjJOVk0uqTkGJY5b8Qh+vzNXQv6RiwJPM0R4bD3XMolKEinSS2mlmysbFDCU2ll6vX9MAw/P2BbeXd/+qmebxJd5QqeZQqp2xsdXz7eH98+h+8eVAqn1OTkyQebBIzovDB2Pm5uaYmpqSB2MyMjIilFhODszx3l+3kmvS8ZM76iM+O5/Px4ULFyguLo7Qv0sE3hhVdEEQmPEo+c+jNnRaNR+qFagqzGB6eprh4eGYJBar1cptt93GZz/7WW644YZNf1Z/a1zRNlk0/VClUuFyudb9W0l5VaPRUFRUJOfb0Tf/r8+N89m/9FKaYeB9tUpKMi7J7G4W0tYSUVBSUBDqPTc3N6PXq9mTAhXOeV63w8JMMIkz48s81m3jvx7s4b8e7KE2L5Ubdlm4ocKy7pQZhB5iLS0tWCyJbxmZcXh4x13NDFhdfOVVu3nx7swIAovUbzebzfT395Obm7vmdtbNwOMNabKnmU0xz61UKmWCT3gRcWRkBKVSyZDHwP87Ok1xuoEf31Ef0a2QNsuUlGxutj1Wm6x/1slbfn4RhQAfqldypG6nXBiNJrGMj48zPDzMfffdx6c+9SluvPHGDV/Dcwl/EybbWpifn6e9vZ2qqipGRkZoa2sjKysrYvQwEBT58iOhscfDpSZeX+plR3HOuq2qRCC1V3yBIMvLy7S0tFBYWCjngFKRjpkZjqQscNN1KThVuZyfDnB0ZYzy648PUJJukI09ukgHlzTFi4oS3zIyZHPx9ruasbt8fP/2Wg6usOui++1TU1O0tLTIohk2m23NfvtG4PF4uNjcCoDJuH77Lnxop6ysjL+2TvBff+kmN1nB+3cHmZsYRrkyGCN57rKysk0P6ES3yQasTt7884uAyL9EGTesntI7f/48P/jBD3C5XHzpS18iLS2NQ4cObepangt41okuaxXZJiYmGB4epq6uDq1WS1VVlSySeP78edRqNclmC189McdT/XZe25DJDekLVFVWrqn4shFIHnzJtcyFCxeoqKiIOHd0kU4iiDRobRxs0iPqS2mxwbE+O/93apQfnRjBkqzhup0WXrw7k6tKzDidTlpbWyO43+uhfcLBO3/VjAj83xvrqc6NbVx+v5/x8XFqa2sxmUwR3ilWqLwRSPJZBUXFQOeGhRb/2jHDR+/roTI7hR++vo4ktSBvVO3o6MDr9VJQUHBZ36U0bKJVKRiyuXjLzy8iiiIfaVRxuLZ8zZbm0tISH//4x/nABz7Aa17zGqxW65bULP6WeNY9eCwDF0WRvr4+HA6HPLYp5dsSX7m0tJSB6Xne99t2Rua9vKFCxWGjjcqK6i0zbri0OXR8apq33NK4ZkVYEC7t+y4vL5cJIhXKWXZXKdFfVUTXooqjffPcc36Ce85PcN9bq7GO9m1o0uzkwBzv/20bJr2aH72hjuL02L1xaadZODlmrX77RnjyEquuoqKCZcWKDNcGdNgeaJ3mY3/soD7fyPdvr5WLk5mZmRiNRi5cuEBpaSkej4dz586h0WjiqruuheUVDz614OEtv7iAPyjykYaQca8VFTidTl772tfyjne8g9e85jUAWz7m+7fAFTXwaFWXWDvCpbFNg8EgyzzFKqa1jC/y3l+34/EH+K8bsijUuMjIyGBoaIi+vj4sFguZmZkxNa43gumpSRQCWDKzNqQ4Ei23tLy8zOzsLNn2GWZtTgBeX2fGOtpHfX19woIHfbNO3nV3C8XpBv739XVxC3nz8/N0dXVF6JVHX194qBwrb4/Xb5cWHUgPjvH5EN88UQ/++4uT/Mf9XTQVmfjO62pI0ly67aSoYNeuXREPamlNcfj1JbKoQQrR3/qLi/j8QT7cqOZw7dohv9vt5nWvex1veMMbuOOOOxJ6T38v+Jvm4NKXK/U54xn3X9pn+Ph9nWQka/jEwWQKjVBREfL0RUVFcr9Y0i6Tbta1xPKjIYoiAwMDOBwOtCoFQS4vX9XpdCSlZfHNv07TbgvwzsYU6pLnEUUNIyMj8vz4etc3aHXhC4h87mWVcY1beu/19fUJe7tEefJLS0u0t7dHcAqCKw/tRKSSf/PMOJ/5cw+HSs186zU1EUsBpTHVioqKVe2qaN28cGGGtSbNpCq6xx/gw41qjtSWrVmsW15e5vWvfz233norb33rWxP56NbE8vIyV199NR6PB7/fz6233spnPvOZiGNEUeTOO+/kwQcfxGAw0Nra2rhRMcVE8TcL0RcWFuQVuampqfFpp08N860nBqnPT+XtFUFKc00UFhZGHBfeL5YEDySucrQYQyxIvWKVSkVdXR3qh4/jXYequh5G5ty841fNTC96+MTVGVQa/dTUHAGI0AhLTU0lMzMz7hSX9Dbj1ccmJycZGwsRbzYjmgCx++3h+9ZKS0sjOAWBYMjA1/Pgvzg9xuf/2ss1O9L5xm27Ixh2knFXVlauy+dWq9VkZ2eTnZ29SkE1ejAmVafCpFeFjLtmtdZ6OLxeL29605u46aabeOc737kl+bZWq+Xxxx8nOTkZn8/H4cOHefGLX8xVV10lH/OXv/yF3t5eent7OX36NAcOHNiwmGKieFZDdGmAZHJykqGhIZmZti7ttCpEO91VXrZuXzRc8CBajCGWMUlUWovFIg/tq5UCvsCmWbq0Tzh4193N+IMin7raxK50JRUVu+UbKLyFtLCwwMzMDP39/ej1evl3UhFMXlEU43JGR0dDBb41eOUbhdRvFwQBu91ORUUFCwsLcpEzIyMDtyLkydfKwX98YoSvPtrPCyosfOVVu9GEuXtppmAjgzTh1xc+aRY+GCOKIi/MM7P7oIpdZWv30H0+H29961u55ppreP/7379lxTQpVZNew+fzrTr3fffdxxvf+EYEQZAMf8NiioniWddk83g8TExMrCqmhSOcdvr2q7LZn2xfV5AgFqKHOsKNyWAwYDKZmJiYoKSkJKJVpVYq1h02iYfjfTbuvKcds0HFv+/RUZGbElefO7xIJymczMzMcOHCBbmX7PeFvqJwA5fSiaWlJerr67ek/RWO2dlZBgcHZRFKi8USkbf39PaGjpuZxuEwrMrbv/fkEP/zxCA37c7k87dUog4zbqfTSUtLy5bJWYUPxrhcLi5cuIB+ZWXR/Px8zJFcv9/P29/+dvbs2cOHP/zhLa+UBwIB9uzZQ19fH+9973vZvz/SOccRXNyQmGKieNYMXJqbFkWRurq6uPl236yT99zdwuySl09en0O5ZpHa2sbL5n1HG5Pk1dVqNePj4/h8PjIzM9FoNKiVCrz+jXvw+5qn+I8/dVFmMfCeaqgszkxYTTW6YyAV6cZGQhs2RsfGKEotwGAw0NPTQzAYvCxeeTxIo6SSIm04pLzdrU2DJ89i0Osi8naLxcIvmxf44dMjvLw2m/9+WUWEl5eKdVutVQcho+3o6KCsrEwO5cNbhFLx1WKx8KlPfYrKyko+/vGPX5E2mFKp5OLFi8zPz/OKV7yCtrY2qqur5d8nKLi4JbjiIToQsX7I6QxpTGdkZKwKK8Npp/99vYV8vYfq6j2bop2uBavVytDQEE1NTRgMBrnXLglFEPSz7PUlfD5RFPnR0yN8/fEBmgpTeXO5j+pdaxd31oNOp6OgoIDyZQOca0Gj1dLf38/c3BwGg4GdO3du+tzxMD4+ztTU1Lohv5SDp6eZqd2VIZN/vvrYAPd1O7m+SMv795sIBvwoFaGHhGTcV2ICLxAIyDvwJEJSdPS2tLTE/fffzxe/+EV8Ph/19fVMTU0lrJKzGZhMJq699loeeuihCANPUHBxS7C1sV0MLCws8Mwzz7Bjxw5ycnLYvXs3S0tLnDt3jubmZiYnJ/H5fLh9AT52XyfZRi2fPpTEznQNtbW1W27cY2NjDA8P09jYKM9aGwwGiouLaWpqoqamBo1SgX1hkTNnzsihcLyx2kBQ5LMP9fL1xwf4p11pvG2Hh4bqissy7nBIDtBoMhMMBikqKqK0tJTJyUlOnTpFR0eHLAl1ORgZGWFmZob6+vp183m5ih4mlfyDc3Pc1+3kdXtz+e9bduNeCZefeeYZent7aW5ulrXFtxLSrPha46SSGMjZs2d52ctexokTJzCZTNhsti29FkAeQ4ZQIfHRRx+loqIi4piXvexl/PznP0cURU6dOgWbEFNMFFfUg09PT9PT0xNRTJN0qSViyPT0NOfPn0ej0fDp6zJQuObYUZC55fxpiUzjdrtpaGiI++DQarUYdBoMejUNDVVrtt88/gD/9odOHu6c5XUNGdxgcVBXu7UbO6RKdU9PD9fsLpDpuFKRTqoo9/X1YTAYyMzMjKD1JoLBwUEWFxcjJtnWQngVPSiKfObPPdxzfoI3XVXAv74wNAtgWlkSODs7S0dHBwaDgfb29oT72YlA8txSByAegsEgH/vYx9BoNHzlK19BoVDwtre97bJeOx4mJyd505veJC9GePWrX83NN9/M97//fQDe9a53cdNNN/Hggw9SXl4uOZn3XJGL4QoKPkBofZBKpZI3M671hUo3glqtRqvVypXw9UY+E4EksavT6dixY8e6N9YbfnoetVLgp2+8pNwhtd9mZmZwOByok4x87cwSFyecvPtAFvuNS9TW1m75jPix7mne/ZsOvvXyYl5QVxL3uPAindVqlbsJsZhgi8s+mscWqclNYXZ8GI/HQ1VVVcLFugujC7z+p+f5/utqeahjhj82T/GOw0XceV1kMXFhYYHOzk5qa2sxGAxyP3tmZiZhXbp4kIw7KytrTWcQDAb51Kc+hcPh4Pvf//6WFyS3CH+fgg8PPPAApaWl61Z6pZ7m3r17SUpKkqu1ra2hoYaMjAwyMzM3te5GWoeUlZUVd/1wNDQqhUyYkBCtN/72X15g1O7hnysFajWzFBTs3BS/ey24XC76+/oAMJnWpuNGF+mimWoS088ZVPG2u5rpn3WhFKAqQ8NLGwtJd3gj5rHXguTBv/xoH/2zLt53TTHvvjpyHl1i1tXVXVKwje5nRxfBMjMzE+LJJ2rcoijy2c9+FpvNxo9//OPLNu7R0VHe+MY3MjU1hUKh4B3veAd33nlnxDFPPPEEL3/5y2Wt9le+8pX853/+52W97uXgihp4amoq3/rWt+ju7ub666/n5S9/OU1NTfIHLYqi3MsNFwAMZ1l5PB5mZmbo6OggEAiJ9mdlZSWkVSbxp8vKNlbwUisFljyx22S9M07e+atmHMt+PnVdBuUpAQoLC2WOd3iYfDm9aYlXXlJcDM/0yHlvoohmqs3OznKqtYf/d3wRhw/eWW/A6lFwYSbI5x7q43MP9bE7J0WegCvPiE/5la6lf9bFv9xQytsORYr+S9s312LWxSqCzczMyCOlEh8g+qEeDAZpaWkhM3PtNE4URb70pS8xMjLCz372sy2p5ahUKr761a/S2NiIw+Fgz549vPCFL6SqqiriuCNHjvDAAw9c9uttBa6ogb/iFa/gFa94BW63m4ceeogf/ehHvP/97+eaa67hJS95CQ888ACvfe1rV+0FC4dWq6WgoICCggJ5na60f8xisZCVlRWTf57ogoNYiNcHPzc8z/t+04pWpeDTR1Ipt6jZuTNEYDGbzRE3qqQ3Hq3TngjCeeUds6HZ6w3ad+T7UatZ1hj57KkhPKKSf21SU5wiEgz6eN1uE25VHudn/BztsfGtJwb51hODFJj1srHX5xsj2l0mvRqlIPDRF5bxxqsio6K5uTm57pJouhK+M0zqt1utVplJJw2dJCUlyaSktdqPoijyzW9+k46ODn71q19tGQkoPNdPSUmhsrKS8fHxVQb+XMKz0gfX6/WysXs8Hv74xz/yzne+k8zMTLxeL0tLSxw6dGjd0Cx8nW4s/nlWVhYpKSkyUWMjQx0Rr6NUrGKyPdw5w7/+vpNck5YP1qvYmWdapZISfaNGt98kY1/rmqJ55YI11K7bqAcPR9fUEm/75UUQ4N/366kvzpCFNCR99GrlHPv3JqG4ppxWGzzRN8ddZ8f4v1OjpBnUXLeiSXdViZmdWcmc+diRCF45hGoufX19NDQ0XFbtRK/Xyw91KW+XVlylpKRgMBgIBoMxnYIoinzve9/jzJkz/Pa3v93ytEnC0NAQFy5cWEViATh58iR1dXXk5ubyla98hd27d1+Ra0gEzzqTTavV0t7ezje+8Q1e+tKXcvToUe69914++tGPsm/fPm655RauueaadT1eNP/carUyPDyM3W5HEAQqKys3XfBSK4WIHPyuM2N87qFeavJSeGdFkIrSvIT6p1L7rbi4WE41Ojs75bVB0vSWhFi88rWoqomgeWyBd/6qBYNGyb80qKgvy5a9nxR5REcfpaKVXRVqPrS/hB6HkqcGFvhrxwz3XphEr1ZyuCyNGyosXL0jHZM+ZEDSg+lyOPGxoFaryczMZHp6mrKyMpKTkyPydomHrlarEUWRH//4xzzxxBPce++9W3od4VhaWuJVr3oV3/jGN1axKxsbGxkeHiY5OZkHH3yQW265hd4V5t/fAle0ir4R+P1+nnrqKe655x6OHTtGQ0MDt9xyC9dff31ChioJF3o8HrKzs5mdnWVxcTGhYZNofPL+Lp7un+PxDx7gG48P8L9Pj3B1mYnXFS9TXbFzwzro0ZBy4tnZWTn6kOa16+rqIkJKqWL9w9trOVy+sdc9NWjnvb9uxZKk5oP1Cup3FCZM7Iheu2RKszCyrOXp4SWO9liZcXhRCgJ7i4zsz9dTpJznhgONW25U0h4yk8kUseAv/IFks9n4+c9/jsfjYXR0lIcffnjLuxkSfD4fN998My960Yv4l3/5l3WPLy4u5ty5c+vNll+xKvpzxsDDEQgEOHHiBL/73e94/PHHqaqq4pZbbuGFL3xhzOJaIBCgra2NpKSkCE228GGThYUFjEajPGyylrF/5s/d/KV9hut2WrivZYpbqi3clOWgtmbjfPj1IFEsFxYWUKlUqx5IzWMLvO4n5/nB7bUc2YCBH+uxcuc97RSYdby/WqS+onTDAoYSvF4vVquVmZkZlpeXMaelYROTODO2zMMd0wzZQ0KaVTnJ3LArgxt2WdiReXlz+XCpvZmamrquaOR3vvMdfvOb32AymVhaWuKxxx7bUj4ChB4qb3rTm0hLS+Mb3/hGzGOmpqbIyspCEATOnDnDrbfeyvDw8HqfxT+WgYcjGAxy9uxZ7rnnHh555BHKy8t52ctexo033khKSgoOh4Ourq51xQWlfHN6ehq73U5KSorclomusH7+r7384nRIG/2f92Vx0LhAXV3dlu+gkmShg8EglZWViKIoSyPPz8+TmpqKTUzmXb8f4Huvq+WaHYkZ+F/aZ/i3P3SwM9PAuyuD1FdtfPtKPEh8gNnZWebm5ggGgxiyimm2wdFuKxfHFhGBfJNupUiXQUOBcUPqLxB/PXAs3HPPPfzkJz/hz3/+M8nJySwtLW05Yw7g+PHjHDlyJGJxxOc+9zlGVuYF/n975x5VVZ328c9GUEBUBAEzEkVEkWsQwpiieUlEuSgamEtHxJXggJo1XqZW2bwzMcupHNNesrdVTq3KJihLAdP1pqNjCmoZgjdSEFAuIpIgKHDO7/0Dzn65nwMckMv+rMWCc85ee+9zOM/ev9/z+z7fJyoqit27dxMfH4+hoSEmJia88847uvip998Ab4hareb8+fMkJCSQkpKCpaUl2dnZfPLJJ+1qJ9Ow4cGdO3eaLW299+9s3j9+g/VTbXA3q8Dd3b1Lhp4au+SWnGA11W8nL+XzxyO3+aPvEOa52Wpdfkv8uYDXD17G/fEhrHaswcN5ol4trTRoilLGjBlDaWkppaWlDB48GEMzC9LvCI5llXIq+y41KsFwUyNmOFoya4IVU+yHY2zU9pKVEIKMjAzZHact9u/fT3x8PAcPHuzxfcLaQAnwppw8eZLIyEhmzpxJWloaI0aMICQkhPnz57frbqWZyxUVFVFSUoKxsTFDho/gZmkFQ6jC1dVVb8ssGjR+5RYWFlobx2feKmfJh2d5K8iBCUPqhsqtLb9pDBZ87YayYtxDPN30P6WAumTgzZs3G+nWG86JS0pKMDIyYrC5JVnlhhy//hv/vnqH8oe1mBgZ8PQ4C2ZNsGL6eEvMTRtnuYUQZGZmYmpqqrUlb1JSEjt27CApKanTFzFdRCxNnVj27t2Lp6dnp45bjxLgTTl58iR2dnbY2trKQ92EhAQOHDjA0KFDCQoKIjAwECsrq3bNBSsqKrh48SKVlZWyQYSmjFQfaJR1o0aN0snm+WJBOYv/5yy7wlyYNaFOrKNZfrt9+7a8/HbgWjXvnchjhoM54XZVeLrrv7AD6pxvCwoK8PDwaFM8UlVVJZ+jEAJzC0vyHhrz440K/vdyCUXlD+Uk3cwJI/CfZM0Is4FcvHgRY+M6f/u2OHz4MHFxcSQnJ+tl+lFQUEBBQUEjEcv+/fsbrXEnJyeza9cukpOTSU1NZf369aSmpnb62CgBrjtCCK5du0ZiYiLffvstAwcOJCgoiODgYEaOHNlmsGvmfaamprLgQvMlNTAwkCWzHc3QPnz4UDb11zXhdbmwgkUfnOHd51yYPbG5Gq+qqorthy7z5YUyfjfSgGWOAjcXly5xBM3Pz6e4uBh3d/d2KcOaJuksLCwoxYzT+VUcuVRC9p1KPGyH8oqPMYMGDdLavOLo0aNs27aNpKSkDicOtREcHExMTAxz5syRn1uzZg0zZsxg6dKlAEyYMIFjx47po+S0d2rRHwWSJOHg4MDmzZvZtGkTubm5JCYmEhERgVqtJjAwkJCQEGxtbRt9iTRdLK2trWXNesN17AcPHlBcXExGRgZCCFkyq6uQRiObbY8Xet37qfvdktBFLQRvH8vjywtlhLhYMn9kBY+PGkV+fr7sNGtlZdUu88nWyMvLo6SkpN3BDXUCJc2IRZOkqy4uxs3oHv9GzQADmGNb1wlHW3CfOHGC1157rUuDuzURS1MnFltbW27evNmlNeWdpc8FeEMkScLOzo6NGzfy4osvUlBQQGJiItHR0VRVVTF//nyCg4MZMGAAZ86cwc/Pr9UuI8bGxrK2u7q6upFoRXNnb21ZpiW/cl0xaEXoUqtW89qBK+z/pZBwjxE8a32fJ5/0khVkGvFPbm4uFRUV8vLb8OHD2x3subm5lJaW6lxO2haaop3BwyyI++wXfi29xxpXI8YOvEdVlSFFRUWtJhJPnTrFli1bOHjwoE7dRjtCWyKWlka7Pb0xQp8O8IZIksSoUaOIjY0lNjaW4uJivvnmG6Kjo7l69SqLFy/Gzc0Na2trrf+0gQMHYmtri62trSxa0YhsNMGu8SkrKyuTSyY7si4rr+k3+G5Vq9Rs+voihy/dZpW3FX6WlXh4eDZr9GhjY4ONjY3suKJpBqjJLVhaWmoN2Bs3blBWVoabm5veSi3vV9cS9UU66Tfv8aKvOVPtBuPg4EBFRUWjxgyaROKgQYM4e/YsL730Et99953evQI01NTUEBoayrJly1i0aFGz15s6seTn5+ulXVZX0m8CvCnW1tYsWLCA+Ph4EhMTycrK4tVXX6WwsJC5c+eycOFCnJyctH6pjYyM5OFnbW2t7C9eWVmJiYkJ9+/f58knn+yQJh4a3sHrIryqRsX6f2Xwn2ulRPta8TuLB3h4eLaZ6W+p3VJRURG//vqrXKbZ0l0zOzub8vLyRuu+naWyWkX05+mcz/uNDb7mPD3aVK7Rb9iYobKyktu3b/PZZ58RHx9PRUUFH330kc5NGtuLEILIyEicnJxaVagFBQWxe/duwsPDSU1NZdiwYT16eA59MMnWHjTCkoZz4rKyMg4cOMDXX39NdnY2c+bMISQkpN3D05s3b5KTk4OZmRmVlZVYWFjo3OygIdkllcz/71S2L5zEDEdL1n6Rzrnc39jwtDVewx92aE6soenSVsPlt/z8fO7fv4+zs7Pegruqpi64z+aWscF3OFOfMGbChAltfh4ZGRlER0cTGhpKamoqs2bNYt26dXo5n4boImIRQhATE8OhQ4cwNTXl448/5qmnntLH4ZUs+qOgvLycpKQkEhMTuXLlCrNmzSI4OJinnnqqzS99bm4uJSUluLm5YWhoKA+Ri4qKuHfvHubm5vJ8WFvw5NypJOC9VP7kP54D6YVcKqzgpadH4GGh0uudFZAdYfLy8hBCMGbMGGxsbPSi666qUbH2i3TO3Chjvc9wpo3WHtyXLl0iIiKCffv29eiSTD2gBPijRlPTnpCQQHp6OtOnTyc4OBhfX1/5DqrxK79//z4uLi4tBp+mM0dRUZEsR21rPpxbWoX/7tMYDZCQgE1PW+JqiV7vrBo0vnXV1dXY29vLS1sao422Eolt8aBGxR/2XeB09t36O/cgJk6c2GZwX716lRUrVvDZZ5/h6urambfVG+jZAX7o0CHWr1+PSqVi9erVbNmypfFOuk4B9Eh48OABR44cISEhgXPnzjFlyhSCgoJISkoiLCwMb29vnYbhDefDpaWlmJmZyfNhzUUj/24Vz+46jYmRAVueHo7zCEOcnJz0nr0VQpCVlUVtbW2z/Tddx9aUuupinPigRkXMlxc4df0u63yHM812oNbzz87O5vnnn2fv3r3tkiC3xqpVqzh48CDW1tZkZGQ0e70H2Cz13ABXqVQ4Ojpy5MgRbG1t8fb25osvvuguBdAjp7q6miNHjrBhwwZMTU3x9PRk4cKF+Pn5tUv91lQfb2JiUjdnt7Dkze+v4Tn8IZOsTXB0dOyS4L569SpCCK3D5traWtk4saKios3cwsNaFbFfZnDyWinrfC2Y+rghkyZNanP/ubm5hIWF8eGHH+Lt7a2X93f8+HHMzMxYsWJFqwH+1ltvPUqbpS4L8E6P8dLS0nBwcMDe3p6BAwcSHh7Ot99+22ibpr2YysrKKCjoEhvobmfgwIFyi5pz586xfPlyUlJSmDp1KmvWrCElJYUHDx5o3Y8kSQwbNozx48fj4+MjZ5LTz//MHPPbjB1Cqy2QOoMQgsuXLwNoDW6o8yWzsbHB1dUVHx8fLC0tm3m0q9VqqmvVrKvP9sfqGNw3b95k6dKlxMfH6y24Afz8/NolLupLdHqZrCV1T9O7c29UALWHdevWyV/cmTNnMnPmTFQqFSdPniQxMZFt27bh7OxMSEgIs2fP1lp2qnFINTExkTukGhkZcf78eQwNDRutD3cGIQSXLl3C0NBQJzvppjRdftPYP126msWeDDU/F9UQM3k4U0cN0BrchYWFhIWFsXPnTl3KK/VOT7JZ0iedDnBd1D29UQHUHlp6LwMGDMDPzw8/Pz/UajVpaWkkJCQQFxeHg4MDISEhzJ07t9WCEI01sJWVlXxxHDt2rKyPT09PlwtNOqKPF0Jw8eJFnbTfuqCxfxo8dBg7f3rIz0V3iHAZhNOgu9TU1DV5bM18sri4mCVLlvD3v/8dPz+/Tp1HR+hpNkv6pNMBrou6pzcqgPSJgYEBvr6++Pr6yjXtX331Fe+88w6jR48mKCiIgIAAuZ5ZU3H2+OPNvd9MTEyws7PDzs5O9nnTeJ9rgl3bCEFTkmliYoK9vb3eLrbVKjUbEzI5lnWHtZMt8Bsl4eLiK1+Uzp8/L1siay5KJSUlLFmyhL/+9a/MmjVLL+fRXhpKUgMCAli7di0lJSVdUrDT3XR6Du7t7U1WVhbZ2dlUV1ezb98+goKCGm3TtBdTSwqgQ4cOMWHCBBwcHPjb3/7W7DjHjh1j2LBheHh44OHhwZ///OfOnvojwcDAAE9PT+Li4vjpp5/4y1/+wo0bNwgMDCQ0NJT4+HgWLVrUZq8tDRpLaS8vLzw8PDAyMuLy5cukpqbKPdWaovE401TM6Su4a1RqXk7M5IcrJURPtqwP7rqlwsGDBzN27FgmT54sD31//PFHJk+ezLx584iMjMTf318v59ERCgsL5VFmWloaarVabw44jxq9LJMlJyezYcMGVCoVq1at4pVXXmnUi0mbAkiXTHwPyHR2KUIITpw4wfPPP8/o0aMxMzMjKCiIBQsWtLumXWMpXVRU1GhZa/DgwWRmZupkg9QealRq/livjY+abMn0x4RWEc5vv/3Gc889h7u7O3l5eVhZWfHhhx/q7ZwasnTpUo4dO0ZJSQk2Nja88cYb1NTU2VF3wmZJn/TcZTJ9cOrUKbZt28b3338PQFxcHABbt26Vt+nrAQ6wfft2fH19mTZtWqOa9kGDBhEYGKhTTXtTNMtahYWFlJaWyo0fhw0bppe7d0eCu7y8nMWLFxMTE0NYWBiA3C++n9Jzl8n0QWtZ9qZoMp3z5s0jMzOzO0+xW9i0aRN+fn6NatpPnjzJ3r17AVi5ciX+/v7s2rVLlpNqw9DQECuruh7eY8eOxc7Ojvz8fE6fPs3ly5cpLS3VaT8tUatWy91VX/C2xG+kWmtw379/n/DwcF544QU5uKFvJV17Ej0iwHXJsmsynb/88guxsbGEhIR009k9WhrWtB8/fpwvv/wSU1NToqKimD17Njt27OD69eut9y+vz8aPGDGCMWPGYGVlhYuLCz4+PlhZWVFYWCivYd+5cwe1uuWebE2pVavZ8s0lDl0sZvVTlkwfqdJaUlpVVUV4eDjLly9n+fLlHfo8mrJq1Sqsra1xcXFp8XUhBOvWrcPBwQE3Nzd++uknvRy3t9AjAlyXLPvQoUPlJaWAgAB5ntmfaFjT/sMPP7B//34sLS3ZuHEjzzzzDNu3b+fKlStysLe01KZB0/xv0qRJ+Pr6ys0iUlNTycjIkBsetIRKLdi6/zLJmXXB/cxjKq3Vdg8ePGDZsmUsWbKEiIgIvX0mK1eu5NChQ62+npKSQlZWFllZWXzwwQdER0fr7di9gR4R4Lpk4nXJdPanq7kkSdjY2BAVFcXhw4dJSUnhiSee4NVXX2X69Ols27aNZ599FiMjozYb9Wn2ZWFhwcSJE/H19cXW1pa7d++SlpZGeno6RUVFjYL9v1KukpRRxCovS2aMrNV6566urmbFihUEBASwZs0avQ7HtanU+rKKUhd6hOGDoaEhu3fvZu7cuXIm3tnZuVEmPiEhoVGmc9++fc2+KCtXriQmJoYVK1a0eJyGV/PU1FSio6P7jCbe0tKSyMhIIiMjycvLY+7cuVhZWREVFSXXtOviyiJJEubm5pibm8vtlIqLi8nOzsbY2BgbGxvmTrRkqEE1M2xqtNaj19TUEBERwYwZM4iNje32uXZfV1Fqo0cEONQNuwMCAho9FxUVJf8dExNDTExMm/vw8/MjJyen1ddbu5r3tX/2+fPnef311wkLC5Nr2nfs2MHVq1flmnYvLy+dgl3jsqKxVCouLkZVcA1Pk1qsrMahUqlaDfDa2lpWr16Nt7c3L7300iNJpPV1FaU2ekyAdwf95WoeGBgo/z1kyBDCw8MJDw+nsrKSlJQU9uzZQ0ZGhlzT7uPjo5MrjJmZGeXl5ZiY1FW13blzR1anaVR0DU0fo6OjmTRpElu3bn1kQdXfVZT9KsD7+9Xc1NSU0NBQQkND5Zr2Tz/9lBdffJEpU6awcOFCpkyZ0qq/W0FBAbdu3ZKbHgwZMqSRpfSFCxe4e/cuP/74I3l5edjZ2bFt27ZH+hn3Rh81fdKvAry/X80bYmxsTGBgIIGBgVRXV/PDDz+QmJjIyy+/jI+PDyEhIUybNk0uDiksLJTbFTW92ze0lC4uLuajjz7iwoUL5OTk8PHHH7Nq1aouex8NVWq2trbNVGoBAQEkJyfj4OAgqyj7Ez1CyaZPcnJyWLBgQYuF/UlJSezevVs2nli3bh1paWnNtusFDiBdRm1tLcePH+err77ixIkTeHp6YmNjQ3l5Odu3b2/TvVWtVstuPu+++y5lZWXk5OT0aveebqJvS1X1hTbNsa6umL3AAaRbUKlUxMXFsWfPHkaMGMHEiRMJDg5usaZdrVbz2muvUVFRwfvvv693v7g+TtfNYYQQbf30W7Kzs4Wzs3OLrx09elTMnz+/m8+o+6mpqRERERGirKxMqFQqcerUKbFx40bh5uYmQkNDxaeffiqKiopERUWF2Lx5s/j9738vamtr9Xb8lJQU4ejoKMaNGyfi4uKavX706FExdOhQ4e7uLtzd3cUbb7yht2N3M9risMM/SoC3grYAt7CwEG5ubsLf319kZGR089k9WlQqlTh79qzYvHmz8PDwEJMmTRIhISF6De7a2lphb28vrl27Jh4+fCjc3NxEZmZmo2360IW2ywK8XyXZ9EVfdgDRBQMDA7y8vPDy8uLNN9/k4MGDzJw5s8MNGFqiodcfIHv99XF/dL2jTJQ6gKKL/38MDAwICgrSey9ypcJQPygB3gF00cXn5eXxzDPP4OTkhLOzMzt37my2H9GHtPH6RvP5NkSpMGw/yhC9BbStreqiizc0NOTtt9/G09OT8vJyvLy8mDNnTqMhZl/WxncWXSsMNfQ1LzW9oWWSrqAngoKCxOHDhxs998ILL4jPP/9cfuzo6Chu3brV3afWI6mpqRFjx44V169fl5NsTZOZBQUFQq1WCyGESE1NFU888YT8uJehJNl6Mzk5Ofz888/4+Pg0er6/aOM7gr4qDPs7SoB3MRUVFYSGhvKPf/yj0ZASFG28NvRRYdjfUZJsXUhNTQ2hoaEsW7aMRYsWNXtd0cYrdDVKgHcRQggiIyNxcnJi48aNLW6ji1+8Ltn4vuIZr9AFaJmkK3SQEydOCEC4urrKUsqkpCQRHx8v4uPjhRBCqNVqsXbtWmFvby9cXFzEmTNnmu3n1q1b4ty5c0IIIe7duyfGjx/f6xVd2iSoarVaxMbGinHjxglXV1f5/fdhFKmqQh0tZeN7U4DrIkFNSkoS/v7+Qq1Wi1OnTonJkyc/orPtNroswJUhei+itWw89B5FV39vN93dKAHeS2grG9+bFF26SFB1lakqaEcJ8F6Atmx8b9LGCx2WBnXZRkE3tBk+KDxipLpv9j+BUiHEhla2GQkUCSGEJEmTgQTATjT550qSZAwcBwZRp4FIEEK83sLxdgIBQCWwUgihN5G8JEm/A7YJIebWP94KIISIa7DNHuCYEOKL+sdXgBlCCGWc3k4UoUvP52lgOXBBkqTz9c/9CRgNIIR4H1gMREuSVAtUAeFNg7ueh8BMIUSFJElGwH8kSUoRQpxusM08YHz9jw8QX/9bX5wBxkuSNBa4CYQDzzfZ5jsgRpKkffXH/k0J7o6hBHgPRwjxH7RY+gghdgO7ddiXADRNw43qf5peCIKBT+q3PS1JkrkkSY/pK8CEELWSJMUA3wMDgI+EEJmSJEXVv/4+kEzdCOJX6kYR+ut11M9QAryfIUnSAOAc4AC8J4RoWr72OJDX4HF+/XN6u4MKIZKpC+KGz73f4G8B/EFfx+vPKEm2foYQQiWE8ABsgcmSJDVt5NbSaEFJ1PRSlADvpwghyoBjgH+Tl/KBhq1IbYFb3XNWCvpGCfB+hCRJVpIkmdf/bQLMBi432ew7YIVUhy9KgqtXo8zB+xePAf+sn4cbAP8SQhxUElx9F2UdXEGhD6MM0RUU+jBKgCso9GGUAFdQ6MMoAa6g0IdRAlxBoQ+jBLiCQh9GCXAFhT6MEuAKCn2Y/wOt0P6FApF4QQAAAABJRU5ErkJggg==", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_iterated = h.iterate_lstring(h.X)\n", "x_curve2 = np.array(h.generate_path(x_iterated, distance=1, n=10))\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "\n", "ax.plot(x_curve2[:, 0], x_curve2[:, 1], x_curve2[:, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Making voxelised representations.\n", "\n", "The `voxelisation` model can convert the path of this curve to a voxelised representation, of straight\n", "and curved boxes." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "voxelised_fractal = v.VoxelisedFractal.fromLString(h.X)\n", "\n", "# This can be plotted\n", "voxelised_fractal.to_pretty_plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exporting large-scale structures to text." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " IDX KIND POS_X POS_Y POS_Z EUL_PSI EUL_THETA EUL_PHI\n", "0 0 straight 0.0 0.0 0.0 0.000000 -0.000000 0.000000\n", "1 1 turn 0.0 0.0 1.0 0.000000 -0.000000 1.570796\n", "2 2 turn -0.0 1.0 1.0 -1.570796 1.570796 0.000000\n", "3 3 turntwist -0.0 1.0 0.0 3.141593 -0.000000 0.000000\n", "4 4 turn 1.0 1.0 -0.0 -3.141593 -1.570796 0.000000\n", "5 5 turntwist 1.0 1.0 1.0 0.000000 -0.000000 -1.570796\n", "6 6 turn 1.0 0.0 1.0 1.570796 1.570796 0.000000\n", "7 7 straight 1.0 -0.0 0.0 3.141593 -0.000000 0.000000" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# And this can be returned as a data frame, or as text\n", "voxelised_fractal.to_frame()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3.7.6 ('base')", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" }, "vscode": { "interpreter": { "hash": "75ac00008631022ac6f4cbcea553bf54efd26e8bc76b4bf4e91e5d02b78f2682" } } }, "nbformat": 4, "nbformat_minor": 2 }