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    "# Lecture 21.1: NEMO 3-D — multi-scale by design\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001),\n",
    "*Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45232](https://nanohub.org/resources/45232)\n",
    "— [video](https://nanohub.org/resources/45261) · [slides](https://nanohub.org/resources/45260)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- The plan of lecture 21: strain from balls and springs (21.2), the sp3d5s\\* tight-binding basis\n",
    "  (21.3), Lanczos eigenvalues (21.4), parallel computing (21.5) and validation (21.6).\n",
    "- Why nanostructures need an atom-by-atom, local-orbital description, but not an ab initio one:\n",
    "  semiconductor bonds are stable, the structures are finite, and they contain millions of atoms.\n",
    "- The NEMO 3-D chain: geometry → atomistic relaxation (valence force field) → strain and\n",
    "  piezoelectric potential → tight-binding Hamiltonian → single-particle states → optical and\n",
    "  transport properties → many-body interactions.\n",
    "- End-to-end runs of up to 52 million atoms, a $(101\\ \\mathrm{nm})^3$ cube, whose time grows\n",
    "  linearly with the number of atoms.\n",
    "- The InGaAs alloy is not a crystal with an average bond: its In–As and Ga–As bonds stay close to\n",
    "  their own lengths (a bimodal distribution).\n",
    "\n",
    "**In this notebook**\n",
    "\n",
    "- Count the atoms and Hamiltonian rows of NEMO 3-D-sized domains.\n",
    "- Run the whole NEMO 3-D chain on a small InAs pyramid in GaAs with open-nemo — geometry, Keating\n",
    "  relaxation, strain, strained tight-binding Hamiltonian, Lanczos eigenvalues — and time each step.\n",
    "- Relax random In$_x$Ga$_{1-x}$As supercells and show the bimodal bond lengths against Vegard's law."
   ]
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   "source": [
    "%matplotlib inline\n",
    "import time\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import opennemo as nemo\n",
    "from opennemo.visualization import style\n",
    "from opennemo.models import mechanics as M\n",
    "from opennemo.structures.structure import Structure, bulk, random_alloy, supercell\n",
    "from opennemo.solvers.eigen import lanczos_window_eigenstates\n",
    "from scipy.spatial import cKDTree\n",
    "\n",
    "style.use(notebook=True)"
   ]
  },
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   "source": [
    "## 1. Why an atomistic, local-orbital, non-ab-initio model\n",
    "\n",
    "Klimeck lists the requirements of nanoscale device simulation and the choice each one forces:\n",
    "\n",
    "- The structures cannot be described as bulk or \"jellium\": the atoms are countable, so the\n",
    "  description must be atom by atom — with pseudopotentials or with local orbitals.\n",
    "- The devices have finite extent and are not periodic, which favours **local orbitals** over plane\n",
    "  waves (plane waves are awkward in heterostructures).\n",
    "- The bonds of the semiconductors of interest are stable: nobody wants a device with dangling bonds\n",
    "  (\"pretty much an unstable device\", in his words, said tongue in cheek). There is no chemistry of\n",
    "  bond making and breaking to compute, so **ab initio methods are not needed**; empirical\n",
    "  parameters fitted to measured bulk properties suffice.\n",
    "- About a million atoms, or many more, must be included, which needs massively parallel computers.\n",
    "- The design space is huge, so the goal is a general design tool, not a code for one particular dot.\n",
    "\n",
    "The approach of NEMO 3-D follows: empirical tight binding with s, p and d orbitals on every atom,\n",
    "parameters fitted with a genetic algorithm, mechanical strain from a valence force field, and\n",
    "parallel algorithms for the eigenvalues and eigenvectors of very large matrices.\n",
    "\n",
    "![Slide 4: from atomic orbitals to observables](attachment:slide_004_crop.png)\n",
    "\n",
    "*Slide 4 (top): atomic orbitals of about 0.2 nm combined over a structure of millions of atoms give\n",
    "the quantum states of an artificial atom of about 20 nm, from which observables such as optical\n",
    "transitions and currents follow.*\n",
    "\n",
    "How large is \"millions of atoms\"? Zincblende has 8 atoms in a cubic cell of side $a$, so the atom\n",
    "density is $8/a^3$. With 20 orbitals per atom (sp3d5s\\* with spin, lecture 21.3) the Hamiltonian\n",
    "has $20N$ rows for $N$ atoms."
   ],
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tDG7/S9gB6jCjogMVBjc+RikrepYcOP+IIwAUNDG8cGMEp94xxI5yBPSw/rzrCcSPCWYo1WQ6AdUxhcBjuZiJxGNS8Ub8TMDJUTmuKlheRZHj2H+KHsXD/NsNRXP1A7Cjq9jRRYNtGeyI+wNiR+9Fhce/rjs4blbZrq+g8X/N2KdRcOAN06jE7z/cg44s5opH9DYLiR59fYTBDtQi/5UfNMrGJdVgIEYhIi0KlPQYuJRjrJzmY8GIEbQdIDrqEpsgVHhQZwpIGVflMPrzODBY2o2my/UanQpI0smMinQ55lMgx3SJjmyc42cjdVMMkxgOfH/Ez2BjL8S3oiiB6/j8B2NH9xY7cEun13rJpOXfYkfgcuAP91KmKIimzbX+z9Edgh3tELBxcJDdLTqGuFzF8VDfuXqLj4cQjTnoXwb9hiP5b5QdOG1iSCy5Lmt56Qg0RgJt6RiNShLFZDtKLoLkvFZjZsudlpFwpShS+MHxKI26gQcphXh7+79Tre6pmimCHHaxmM0Xa0AG0GM6X1Rjzpn1mEzzRMSlaFvw95Caj0ZbxRr796xkeZMSgsvlYrFYrsZYdV9AV2r5zlMa9G/Cjn6LI9qY0PFpeNKFvqD3IuzwVaoRyz6L07SnmJoAdidjMLogMQJK1UNhOFxfmhM7RFNvTJD5AZO8whktjEyT5P+GzkOxAw0LkANV8G25MRyS9IgzaVs+fPiEAoRlyQFFp23ICv5D2GFDqxhD64X+ZIAhIciMKCooQR+B5Bhi8lKj/pANLQxtCTFyZAnU6mPoTPNRPR5GQI5jFFoDeXENfudsdgApKZZVplJoLJUonS7mZGmgXBG2tJ4VwlnFeV2lIIFBg2BmBNAAb8oF91///fseQgpG+SBEGzUejaoCZyOk3rXVrM7+e+zoKHaA7thjB5WOGAu+SOGBaQm2CWEVVPJ58SQzwYrG8BmEnRBF5VxkEDGHyPHiEWDYy+ALRkd0na5IE4ndNy2sFptZ9H+m8BCuA0WwcKPEDVADOG5rkA9yvH+bhCxODjxqO/47VYfFXh+/cmhJKSqFYjTyoC0dcxwLwMBwdoItfH4cmrBySLQgZ4rOpioh/5ChzBhQQvhQ1HD936vrCIfVhNlD/B+uNGv0K8s5646xqT3qac45SzJESBE7NYIipG9x1Fin/Q6zpYFcpxOP7CIsxaVnmcl+7HeI7xQ7ugY7hoIdBSVK3d7Ri7DDZqwb0laIHfwu2Yi4XmU8RiH6iu2AMnbmwIVYwy+oA4uGm+0YGzaS+wSph+Pb8pyKKwyMgP5PYcdB9La6QpsSsU8BanxJmGrtAfggJ9J2nP9Yx4KX7GiEvQNsFaDAwJ4Y2IyKJQZvxXWZk1oQj1RHEE9EIAaQEXYVKJJwy3aUOV2aEtqaDfYbf5goLap6TkUHBWGL5XrFKQtlYTjGwMRxBYct6cGwfTGG4I0wMiLtS/Swf8dunKd+exh10ewxynN3EM7Ys0jcyb83xWmww8E//ZNCsKM02NF7AXbI9szA1rqDTw2G365XbHebSR5lEyzIZhb9oFie0MrUhsMYvIyjskz5E0Gl4kufQ7JDEIOt2Grwf4j0QNlxdfV2+DYmMZq9f/8IcoBC5ewcflQc2IYyY+n+Z/wFB1nO5hXkBkoL8hplw5uitM/ZvmCogoszxi35MIFnC/q3HGJufAynJKCF4tMsOumKxsz2fqu4Ph5NJlMjQ5+jcwGDsFwvwZBOhS2d1tV0heaFOEhcZAECGQixMK/y2Bv8Hg0iqIIwzKar6aSeTldlxF24zTQk62h9b88i2GH1T0rBjpr7V8SOlyhLIfzBCFv5Dsus4XmoiEYsNWLY/FSWB91xlNeTHJPlDE7p0wJ16yjjo7OKjofyFg0cCpIgK5p5/J/CjiE2p96+ff/EIU3Lpw+frhZDkB5tM5/9j7AdjN1BXZFSh56ru8+ItQTgI48wocUEBlzIOI/BfaDu0l98GAVEiEh6G+AMrvW4G2J9CBzub8WOpJoDMmQgO5/JG7MFRrQgPmSZFlYezFLlok5GAQjQMZXCA7VIVaYD6zfu1cYTYFw9qSY432CcAzE33vAGg+/GDq699QMZs0Ac9g3YIcK/HBhxI9jB98IYaSypcJ/x9Q4WxVirn+4225t5CGCAFfM6TtCzhAItaG64nJ/BzhSfA286y+0y/D8BHmSpdT6bvX/+EPT4tBpxIvPfwQ5bwgsTQkYEsqMC7wnyUNqXMaUbGbBhzOvziABSJHJSOYFEm9uhZ3dzMQUCzIBHwIU88bnF/Vv1mdFwslDokKoDc5YJtuBIm2IVrq4neGMqw+eYMr8Mm8IRRy4JHY6yacYnxP7l4OcrpTiAgQ+qOo6qvGiG01AsyB3/u/mOrtuyTiIAB16jnxLucR69DDv4lf0J3Hu2Y47P+F+Y77aG7oQbxyaxsOu2nSFNZju1s/nNZjqy8i3sPkLY+iynMDSeMTJyB6XNblO7zpJ5UL/nVIbqu9FQNDIsS6WcL9kM5HKaPJjSC26p8BN25OjdHq12W/gKDfCkKix6+xXgMKXHp6sqA+GBzThswliqDfnTfbUo7oC8A06T1JKihICVAtbvsScbBXqTyEzBiGaBJIcI4tjSiAfQnE7KYiibIsNsBANdTins31d2DNKKJmHsTxZLZUzZtXBMC9uwCbYr6PiTFymcmzmnBTCqnwdn1Pky90RN/esx3BvYtMpIRvAnGouT8IJ5BwV2LLlSZcnrnQUD7nx4aNttMqB6a5evayxAtB++3kz0LNxKLR2zjMSxVGa0fJnDcQYPtMWTps1Pa9++8JvP5tk1y4exrDzxGyvYqZC6cK0Zrb+w8FZ6YhqW+MObXR5Y2c2mYpLCCqYe+CgyXNYTa8C8p4ip1b+FK5X9s0NVeA76tnt8iBPVo5UGD31mn398R5FncNhqyWY9lORHD47eIbfe+n08vR2/Ez6iJn0cOgjqq0Vx0PbcTs/Hk+/98eDB9j5CSYGlMNYPccZxLDoVjDQTKyHzMaZWbCSCiIeudnaENX2u1o5BhqT4N+o6fav/W9zdEZaKX66TcXF2ITowU34sRVNKLFlN6VwUyw5tJrsFQMpCjcQAHuNqMWx8hGWX7tcXTZPNZFTOZxh4ImRts85jt4UdS7ffPzjocn37pN/mmY6jSwSQW+USiHsdPgSPts2X+FGvHeKxHLPE6FtG8EwHUsDG6uDgkKsUHRU+4hb3mGviXV5P8fK1u7YgaVKJNkyeZsWOWmyCbGDHJglheY4UFqtmlVRsbjC3zTZocTIQqmQ6cjAeeKLjAg5hSydcIaDF/23YoT9oG7oE1ztoD/DTnsjW+wuwQ+BUILbVOcbjBDhevXr9So7Xr/E/3j46OmwLsMBjOuITG369X1HkIHiMMGoR4D5sH7T//KYlDCKaC5akSxMPI5Oc9ChYDkKBzF3SYhTDIsp9tO2GG2GWjLjzUo+GzDTumxCoX27SjKhlJ3TCbLJY6gILlu7JjaLsmOu8djnDJkvEPThu5wAy6JoOfEykAoGQtp4Kxef+tkFAtMpp9DcawX5vCa406uMq1GsdK3a4wA6axuAkx/YDsKO9xw6WEaweHowJ4Q5B7HCAHSNyHRfcpJXaW8CjLWtYckrhhl7PYIecZwCeLhomX1JVqO9g5AK6q+F2M4Ev8cBx4tV2E7voQuhVlKPkiPLdTeG4SE4o7fGWIxcJ5AjTCRsbmJf61ny7/j0z2q5pWULPdXv+sdtSB68TVm8vwA7pbrTysHu9Bjhev/5Hjtd6CJQcdTyH8jtrQFHY25dgh0LHp/XVBFm+gh2Hf37TIpoCTC3rEVr/zKEoLIFADFAA3rQQKoNCMDVFdwYPe56YO7aykQ8QQaBZFnu/YzptpKyoKDPOZxeL1WppeFJTdcDpeAYfKyk3CBQopWLpW4aykw+aZ8wN28jfL/f9Bpl6VIXkkuICa2Srm92EK5Y+iQnsb2PfEidz+4DYIZv1XdYNYi1jtXqP1h18nXPtreVgBZxUaRVI8dFm9gphgxdIlBh2X4tw3BNnlMAKPh9w51h6FkQgiK6USiAY2oIrZUwTyPIUIQphsEQrAgEbJrcja7jbIVsGk9oxy5ORBFyANQXGzEuETS78cHWzdH7LII4nvtUQEZJMI8iBH5tGO677tRet1mOttoNnW4CD0PHPPw128L03CiBsXNp20CVRmn34Yovlfr/yBXasr1fopAawp3b+eOhACYohC/RgOewEUV0MsWQfetBwYLZGAWlCsrRIzInkPKw1I0GYvOQaHYacqDwgTw1/+WtDc5oQpN72UHdQhs7GZbEgdID9wNB2BsNBKDym5TCWwgNjxKG0KqJO4Y4wfw782LFjoOO3ML6Q+eOYIWkBV+qbmef7dMiVSrnNbgVogXabr3qLr8xDG1YP4D7I2clV9cGM0JJL6uFh6CTUlA5IegxRbhBzej3UMUQi9aXpn7gdreqbyqZPrEAZhnBIFBKCpXwJzJASx5SeZA6MsJEGd808yCXFHiPqO8KMwS3ZzXYKcqyczZJ8B/4DaLgBTYoZrW//JqkWnwtaOOOponeGOnl1GYHV6n2tR+0KztJlg9AhJcer13cOQonBETYuB4dgUsKD5C1lo8/3K7fYgbyrRYjrn9v6T9iGsdIo8iDGmTNE5uKIQvSxFBGo5pFgOAb/6T2dgBSXNO7jZhw91XM2L3hE+HtiqfxB1G6D71BR2HyurYvwpXh7SkU6l+6F3oAALtegp3E5QZGVpaRtqtkEZHH026AjmGzg6Y6R8mrOCIOJM2grvQcM0LdQdbTkcmnxZhkD4pwQ7LAeYgdPC7oad3pH7dE1Ko4D7sNVYVvYPmIHT6KWQodgh6E+WlKMdLmcYmsNVMoT4tGiFgak8EjPKkxPmF6P73SGDShwpZGNdNo6sYebTYlGZ7vG3JuMacH2BSkL9C1dbJbRb5Ja2AIdQc9tPHjQltkYhRAqX4QdXfoCAjpe3aLGq7sIYoqQN6+Pjg4ObDy30ftnoOMhdsCs9ooCMSmE/ni6IxoyMjJ1IlAbccQ9e9j/AEbyMVSlQ9KH0IzBk9SFnPARafTAG6FggSakHLFSGUKeSfYx+k3GZ3iBRMVMNlj4P3bhYBwsHYsMZrnQUk2LpOFG0WJhZw7n6ljQJIXrACw9IHbTxuV3zIsQ/Qt1KTZpoxySiFlj/XBow91c3uyw6pDLJW8my4G+RcnN7gPsaJG4UJQ4DK9WkIW1DwAhVzF45Vvs6LQaK82WYRMP2XPjS7Q5k4VMuMl2kgE8qoaxpF7jz6qwBpi6IiGbUIfouOwGsBJlvLvHdBbcvC4szGAAhsh+W0YeAlpC9/fUHVp1tNpi3EXvrnAPIl+/0As5IpbFqDoEJ15Lp7LvXG6x4583r15FHSdsgyh9tmX5EjvIeMQR12npXvqnY0dCzVcBe10gRRQzkoXFQ2YNsV6fpywjMu+Z3bYAohCSHZCjVmBMRKiJW6LfY4vuIaSwmCJXWcYshIwVjTtkQDuTPbhqJJSHuoZR7YF7r1fzIlaJR8XmDd0XrI7C37IOHGFIHHmScuAvtkiLbx+YWiM4cXFak83UsoPsaes48FsH5EuVtHgcO4AA7V7vYChrcMcn0rqcnBBT2PSrZRVKE+Fgez2X9Uyb+QuouQ9D8fxyDFe6V5ZGwznRYzMb0qYDXGklrqTchZuvNqskXTGN20JhcrNZQiMbjUH8roopXI2s2Xoe/SaNp5IdNPDiNtrbt3TOaMDjqwKPruGEegId9xjSPWbcOd686uHpk7rjw1eA4w5yfELVmWAfP/gPNC02eg7QhhHoUfQmyZjuxhhBRAHzFAY5ZyyZ9Ww+uU3uEbUL1kTynIZi8FAfBb8FO0II5cc1VBzzJfsVgAfHtcJ4INMJ70HdMYFos8jopDiqRfexRk0yzXVeW07RsDHymo2apbYTvzqPFiwpg6kHDtPXpkAD0Jxtv9MLABNkNwNY8uP6hz+HgI4g6OGFz7P8sEUi1XoEO0iVdJyDq+tP89OT4PTkin7HwA6X1v5G1mSqm17PD1CJtIU3PemjpLECCtPihivFnqPNRXrHA/amCdoYzF1W26WNxApqYTEjApc0cGP8ANSd4uUTC+KgyGMyLSA5dpPfotvFlRwNh9RVUSP0fCtbrfDzjg4OPeH0nu5UwYgIdhzdDlf+eRo68LEjLt9jw/4uejRvfbilSW+h4/r60/oa8hswMRbNj/94uoOKMOxz5CNMaHOa/KRpSdsONB5YkKOW1H5Go60VCTSZZT1mztqIKFLBx6/Z7vrpWjDZPwm4HB7EUkhIEstsKb3KdEnPH+g68C/+4pR2xiha2A5iq2W5BifC6kTWarkYXHMAw+W+agJx5+DXkx5+uYA+t4aTB/doN1PdqcQL1j89Pe3Bmg7/IA8I/Qr0BccB3unhBdoPWDQ8gh0yf2GJLju0q7NTPnx4zcLDhaGHdxD2gtP01D8yBGmPH+9znovC46TPvc6vev+ErDsCz/4j/F6/ou/o9Zqi496BZTWhlOznsaPH56V3dG+68gRwsPA46mH7vlmy3w9V3r83qPH+QdmBIcv1WrDjwHJ7vT+fLI1QYcQORWDcSwFhgfksqneqtjGAwAU4dryn5yZ8sm07orrDUCWIv2Z+HNdeBr9ikc+zhfq3XbrRTGT5Xl0Gl6w8liIxpeBjQd/BFTzTObol/cGEyQX6G3qJcZ5UTuYT+qUNKU6fTmNfEkV+9dirXst3XngDYMd2Zoanvd7p+f/OTk+O8c/5qdsPBTuC9Pw8RcxHKDFjh/1HsMOz3YCnxUmAV+j8/Px/ePjplDqPoNeL8Kgj+Yz4JKRHe0fp/85TJU4PD4kdh1/DDmzE+VB7+f8B7DDQET7cLvlwhRV5arGe+wEUO7p3oYPo8c+Tx5s3R8OrD/eP+73KFx0LR7TAjozYYbf+A9hhUwwayQLtWCwGuYRPD/RSdlhQQTy32oYZnj2wbexLgm4U9EEFQgV77P8SD2RxpNLt9dFsNa3rmS7fU9TBBTgG0U5EnM5tfCAG7sBAbtQd9cSUJxzB0CoI3mJprOBRLIgd7q/nSu044I8TJQMnmN/cTFsaBsST+n+XqDjwz/9Oj3FSH+DGU0IBrm6oKp7CjgEc/HG62KIpvfgfj/TkDOVxERz3uo7TOZXP6KN6aR1D8MTPGPQNdpy8ADvQncZLSL4G1h+VCf4EdtA09DGx1oerK1ztbauhdJ7EDqd3Hzqew47Z5M3bq6sP75/FjlvgADV3jRntSuqO9n8g22lgB5iOQKUBv6ocDUqEuUsBzrSge9VoGPPS7rnPefN60s2iZcmHXMHFeBdb1xmSGnEl+vlGHoIdLnrsvMJMZTKR5TfZm4XGYy61hlYZBJXJtC5Hkxn3czCYrcB3cFNuuhCLDz4S3zm1H8NyvqxhYer9+rw4G+s407pgoecviB2tW+z4n8GONGAp0TfYcdojjrSF9eg+1HcEkgpyQin6VarYEZwypoVLLScGO1KwJod9xJXpZ6R8tX/wIuyQjVguK7h/etnBngX78NnbR2lLnONv6Tn5TH9OOV6HHcs96HgaO/C6e/dmiO36PW6Y1uVx7ABnfw3sAIJUcCB03P+CwCMEsxHi5K9KCjqgaBzlsF+AYQd2w1K8XFxggBM+hx0Y9GrRwjiGMalSyszobvnztd2uqMIi8J5oP9ZTs8Ey56BlSk9jzlno4DGrUGSwlComGLjQAQ2dFbADtAfClycLKU/mVRaR+Mjr1aqmBaH16znffLWZzlcjsC1YGttNO1p4GOw41brDx6T1oH98pGf6ETqSk+5T2OH1bWQIMZgFpYZix6kUIVfxCQoM12BH64AbXMen/xM06geKHYcv4TsC6EtDV2yB/mjs6Noo1+LHFeLAjqurUG3RnKd1pa3e0Zdlx9PgwatYFr7/CnZ8uIMdbFlWEBVk1BD/F3oW8JyjYSq+HahAPDAWGU3TRxy1pl917iTbARnheCRJtdCKjBm8hveSX+OK7UpweyIgQVd0mcwuZAdfNlnmrEDwZwp0mYi7YE2dR0UiZL4iV8o5DO4FJoTYgUENMAQG67M8EtusX3wtDWcFW8QC6roBfdJhKgrsOD46OpO6w5zpAaDiJDg6Mj3L4ZPYQUlDKzzgEsunMj5tsCNitmQdU9NhKpm+YMeJ6YJAk1r8rO2vY8dAEcOx/nzs6KMCSx4DDvwPLL2KBsYW/qnHn7SOvig7nqs78OqbvY6+6FnucaRf1h2L6UqaFsWO/8CchRH3sO2BETolpdB1jYuUTOmIgg9pC/znJMT0qYxGI4iscqIHrucjeIDkDEX0f8kqH7RL4VC4UDQeZvXemIbhTTQuSFiAWynI3AkasTEcSidkRZQxRcsym4orMkhT3DbBveYq7Jzi2QDT6P7acWKawRbF97wCzyt2VKeYsLYfYMcpWcwA2KFVQqcdGOywH2AH1mRbB7HE0EZHBjuCk4MQr9nrOqKUVD4jPyEfHyh2IMqlzU6o/3Xs4KacpxsBjvNnv9QBhfHwSecdPEHQZPHH7ba64tTxEDs6X0LHV7Bj+S6/+nD1HHbcoTvW19OK2LFYJDAJcLu/M9tpny3zlZYFwQlT1PApCNIEAvUMuW90MoYsLEbNLlpS55n+HPeJwLHmhA8mLmDGK34fMbHj58MHimUs5IAVRRmxWhMyFkuFhImEV0MnOi7BjtKHcMSKY653hffxCDiyYFQcTNXBerBwESnZcoWHw6WwhisQbIZ/6cU0gtQGpsfjEYzFMaOdARhwvUStfK/uOAHhcdwz2IGdb1KbVIjRjqP1BXac9MORpLKc7LEDXQy3WggeJycpngvFjsNDh13NOdInIbM86HDfv+3eYgc1JY8Lel3rv4Ad3YMwfNLz75OZ03qwCzWWJu0H2IGy45+XYseU+xBslz88e9wbspDwwHeSHDiQsf2WoA91Wd6HTH2FK00QIyl+P1zwAGcKPw5oNOJM2o6XVNmRDYvkIXhVcQ8rx8MUNQzBw45+coCu5zuUTmHrfr0iQcpgExwmAA6jV+ADJiocGMG7eYoiBE6g4nwMeoNSkOmMdEgtmS0oUOipvkIJspT9W1QiMCYIRZulEi3n569FD/LFpJytZtBRecyy7hweg+zotIKzW74D2IHTmvpG5Uqddv/YhQepc3AYQv3EMU2XKR94ivxe+0SqDgg6gp7BjmOWFCRPwXl4/SGesaGHhgUP17rjtAP5KlfMj6FI7QxaGFbD63hbyrQY1LmlMTdMBq8zid7mmHwQiK0YGbBQV+ZYjfj7dBnEaEXqmh5ZeTWOQhJpOokbSOCkZ8Ku1VM9oDvEj53TRY/78OxP4fJA/EIjW3fgH2JH/1uwY6bYMVtcPdqrPIEda8GOwwOn/3tcB2+x4+seADYW8Esab0BFinohwh9wpsMixrgF5lVfpywGiL9Ok4zT3YIhk8gqAGxwUINd/p/JNcKtg9yW124n1XLNzsPIwGT3XvbfAB2jkqZG+KeeLxaoJogsYE2BHDXHtNN6zvuzPKFobLbQ0kOhR4Tt4yxy2vwqgI5fgB3wcIPStYzpKEyuFKxD0Ds6CIO7dYdPAUbLb6YizmHXhRz0JAy5iM8+2baOuwhYx+i2HSpIDIk2Bjt8kqsnQ709EqUYbun3IeORzxhgHEHsQLdDe49O2PIkY4FS+GP0KDAl3UFrvmXGwjhkbxo0YhKLa5Mkr8mg+xavHiFHMcjInNzsEmswmk9xc33DHX7CC81KVCVioqDwMMzObJa7IGB/KGXmHTz0KW9O6SvOoYYJluOc46ewQ7Qd34YdHPK9FDtY967FTxZ1h3P8ezqWb6k74I1OTcYoFx8+iLVx9ueQmoIozV8SFelFEq8AkhRUSS7ZSfh0cUr/weFPxQ5drWhHnM4qIohfx5JNBwRh88W0lMTZ6ZRqjhmrEmo8ZlU5mU0kpEUyI6aybjuf6jFDVbJq1udIiKxWM6TeqTD8l2DHwIo9P5HRODXpGJ0GYEPbKsM41rqjJ/ZhXkuxo8szvOPilsOjoxbbTMSgtHyk5fT7obCiOCu8VhAcGuyAIARIcwBQgQh6JDTqweER/fhaWndEzdQX12FfHDmjNYzAWtK7ulYMhAWWYBVuvS70nIeTwyDiyq3AAOxsdVvfa1wKUT/U63XqWvBCg112uVlnPhXBhEiLGuTIUacPz2qY14EEDP7QJv4Rz2H1KAd2cNJSDaFM91pP1h3towdI8RR20B/XVB7PYsen+9jxyWBH23J/D1VqkmFexncEKSYsMAkf0gxnBKdB2lgU3MVnz/LVhQ4nHgk1ArdClCwoYNQqCAaocZ4HPzXzWV6WUVouVN611LRqrN6z+ACrASd02DTXLDdQS8iHaOCBFm1aFY0/MyQfaFe0WGG5suLYhWqPuS7TYflzQa8x6Y5+AXZEBcQ20+U0JnbcbGbUcZz2ogOtO44FQl71IAYDwdEPTJUAqsIHr9EOj3peP7REe+33T7yTIBF8uIroj9ezb7GjB770IAZsXMur9f3BAXRhfksrGRCvoimV1f8enPNCYMfnm5LmhNKDxJEfgcjNvCgJNT6XaZGQ1fmaOAkUwTu2ZLMESCXxsQznRpQZ8mH8QAZTfli0IrCEWzBMbsGQI5ZsLUxKAyY8Ryg6fuykbnC7x3IXOlhxQN7x4arGVkvYtgLFjke8UDpHbx5urXwFO5azq5fRHdSGrQQ63scHtBf65TPab+6SxFWQxntDiDKwRwHjLPCluSBC+PVfnhOXuCcSGEbcQoW2CvMWgFAkOQ0D52d6NHseJWHlnNErM5F3LHUyC5RAIYI+BDQo3tQ5LdUeMzYx6GKAHRi41ORHYQskAlNcSeVOur4P9FAkIpjg0XUeDZTx+Okz2ipxp2t4GfjUhm1X8BiBIP3gMDkXXlTrjmwYsSzom6mIOI3Gw2EoNlgnVq+Xvn0bp1iLvlIPTKwIwo2mF50LdlymAApaWJzEE4UO1CXD2G6Frc7J5Xz1cTjK/J474KZ/NMxjnEhRvrkR7MAEBoiAKiOY7raMoYoXsyJfzmI7r5gcDkrDGq2qtAJYF+hY/HyCJ3YCAVFUABBRsWxvllVULGYJTEGKxW67nVdoauLZMs8Wm/k0ERs7IjbDobwfCh7uQ+/QBjvgH//hasQtuTZArTFU/wI6nN5LsUNr1qXBjquXQIcBDvllIFpSPCR/F3a8MBDXwd5aMkqBHfiP0dRQlWLeMiwwLclfwHV6GAnQ8gebdLIQQ0EZaVYMXOj78VP93UHO8PRfKlyIDIwepaLw4JqKggCgYzHVKEkoSiFEGYHlQMGhZYZghURPomRcYQCz1E9moigBPZJpW0Xer8GOOLdy2OYEhc9spx0jX9OjHnJPVv/73+fPtWDHx/Vm6hE7VI0he2zhZHtdoEQBelidGIrUFesNWc78dDLabt4cHSFDltCx+rxMWIUcRKBJtwY8rrcVhGLoZK4+4YHbRdyDBR+wI6czadcrdwY7Ol4T94AMp4wFwma3WMHzJ1mJncdm6js1epktXDzWwJYCLqV4c1NbAzghR4m8M7Hx+TLLK9di73GDAKuE/Q8dQVBwxWBGtmiJlj9YIgTv4Qe7LAY7Pil2hCIGhw+bcVT6AjsGRw+x481T2DHbY0d99cKqo8EO7rP8TuzodtVu4KtlSE5hRxaIITqD7zliQWgkTdOz8CXnPq2Ch8yEQjwLd3LRrJBnEKr0J9YdIaNVFusFNV2iQl/qlGWpxYcWDoCQBXXq8CJhh4I867FMZqcTYURBhAjWYHyL9fwZeVIZ2IAXkTqG1h8rkiiLKg5/EXbAanBixVVuuQG0YTc3N9sUdUe8+UzsmEvP8vHzzTI8vIcdnQhDmQrC0GP4THfBbG6vrxU4VtcrmIV+fnd0fDL9TOz4/PkmQ4MCffbJdLtdFJd81V5fQ2aKg5amwI5N7qFn8bpBhXtEfa/Gubwtu8bc0Q1ChMdsb2gLndDeZ17FNT6eZUuyGfBKXI/y+mY39UDZwDksx82JVSFqAfXFdgNXNrAeqQW4WY/iDLaFQx/YsUMy8OYGt9OFPUnx+OrHzulALqNPu+/Ecw873tJHDIbytjFE/5JfO3wxdvzTAAex492LsOP2IHYc/l7s6L8IO+A1WFIEhnqjZJ4zWg54LpQ5DYz9F8A+zJHh9pFR4o2zE8472OcH/UEeMqUt7k+8QGN0gjHq0uQomEwWQsJE/+VsfYqfYzydMBRTsIMzW+yvzNnoYLcFIFfLUj7LEnh9LOk1yxsW3LJdb4gmsvHSYMcvmLPkKS7DeWr53my7u9nebLMjYofUHavAYMcq6nBhvtlnOexES2BHO+jRKDBIrq/lKnb9qaow98toItSK+jPFjs02C3vUcPQn283iOL38n9z5Cm61kv60AnZk9PMMD3sTXP7Dbr9YbbebEa9HJDCFxsI3l+EdVBJr1EhuOStDx53ikdZ4R4tjpCwsIQvZrqGQHVZV7Ex269S2ppst6JDqBskMJeCGxeN6Nw3hLbTyvQE/KROhxnQLqvMfHYAIvEzef/jSfMdAx/v3EX7HbW/AvRXrMezwj47+eUHPcqfmEOyYvL0iHfvpBdhBvL+6giFR2/9N2KGxV31krCZBd8BZ2XMgECMgAUpSCDvQsjCElhlwEFFlz+bK0jGdE3lwpcWQ6ywVGx2ACDxAixz2OmBRvMGP30MNjGQA/szldEUxKM/t2Xw1194DXuisQKjRqBY6pB1DFIZNlrKcLGoUGtysFQkHLTxKrrOAWQU5Uk4AO6BG1tr5oDiBPIzvIZ9hVidee0APHgk0UnvDH96EQY/hQvswnlRD8R3CKb8mdvT22LE02IF0JHIPun0ioQgRzu66Db4Tv/dhZV6Jo+FJsd2uk+VuW6MBaeqObQZzCGLHdPd5qZWM1stXBRdd0MhsMxKwnaOjyc0GQUy2VDIlJAf73+cAfAd6Fgf5TVMZl8DzejpHiELml5tN6iHHabsEGCBJcjkrE1QraGVwNZlublBNoH9JvZrVCJ3SkE+LugO2yF6FKov5DLv1rOaY74eWeXYQWGRLPzwSjPKBNkA0CsWvt9Xkv31JlR6+kO+4jx3Ld9nV47jxaNmBnbwYQpve78SOY5zHFxeIZpYlUOeZPLKIvoKIGq5EDgqnc/EAg7TLfz6n1ME43w7o90G0GXGyi0V46DzG46rKKDTzfs5KC0jSMBnXMj6ZCwnKBRaWC8xvIjjMZ2tsrSwmY6hMgDHEjor2pVh6W7JXkWKD2MFRLSkTfJpK7dW52bJS1gP9CuVm1ITU4EppY9K+F+jwQ0lSMzmqriFKXqBc55zlC+y4UeyQAkSwQ+oOsdsIgR2TA8o2qv1FbBGd2MX28zqFJfF97OjTWcbpT28a7LhefWpmLuxZtiibYfQv2LGE3IxZ1jdjupDtv98Z+Q6EmW92Ew5bUwTR7lYr9iJCZsDhdLfAh6drZNvBJD2CvoNQMYU5sg8cWSeMhYo9DwkNGxAh6+0Ur5Vqt4X/abFijO3NMvN+LHb4rn2IZbhPxrtLp6ZN1fE2kRB6p3Eof0gVtgHNr1/Us3yJHdXVQ/R4tF2RgTEm5BYTLjq/DTuC5KwoLs4yDwsZz/hQeHIN12SmlAMTBDwXLObz+Pn5uqKCn8rkAhr2lOqQmK7qWUn7QWAHwgp+eM8imkUkhOTIqyYOSMOC81vnKxIFR7MOWHEUo1lNDCzg8Y9k+SXHMHgIZOogdmbSr4zJflBeSn8xaXEIP/i0643qzEyYHEiQOApFX/rTBOqQvrOkiVYlZphxlaGqW+w2BjsOH2DHKVJbDHYcC3iA4qyi4cXV3r4OfUu/FRUbYsfNru7usQMFw0lfLEpvsWMDwuNqdb1Hj6HmD5xMQLrSqS8kdty7FqKiyAKX2FFTHDbbbKCDqdEPDSoCCNOgluBSo3SIAczNzdAFZwKH5QkAw7Xwd+JNBGMcBC+g7lgjtJbYsUacaZikI8TY3iDzNvihPQuj4KDxMCut5hz+IGbEhI4Dpkhbih2PjRnaD9dZXoIdk7fJSIqML7HjwyPYgd9fpNDh/PJsp64klwI7IAzNeT7zBRk+rdPgKlsIxEDMgGQlMJMF/Qfj4a3n5B2O7iuH9OvAfCUPubsPv9OcZuQc8JJq/RnePx4/aZRDYb6QCBaAhVqTipoL+nKMYNFB1ZB2QLpBoeuEKS1LOhpP0NGIeUc1rxkow8iFqSy9oPhY3vKkUnzQNwiFCNoYegaNEqeNesfDYu1P2Y4zJgduhokOfsR4DNcUXJhx1pHZbD+sO9z2QTe4rTviK85VVte3yLHdorHpGOy4qXt77LghdnR6CC6b3tzMzWfczGJkPu6B54phxPi01fZmZQV9D1JSzFkoNd1jB+KdELCGZqOmtgPjFihIp8x8AgCkHpjQzQrU6ApGx1aBZRgPnyp2HGrDiBGbBHPf3QTllQRUAmmmlj+oSKJUVLdEMCNbRdEPzrI+hnQlTN4/sPICdKBHk9Abq+WyUH8EO7rOwUNN+lewA3zc7J93B0l5dXUfOz49UXe8L8vQIkZ7B4e/Czv6cX6Rp2cXBVe5ouc0Xp4t2IHqHbwH+hWU9yW9O5Jnd+Doe+u5YYyuAKY/kHJgmyX1QHdUZE0jbNihcPkZ21EuMw7jUigJwIec2BCVi2vHYkZImFBQypy6GfWjBAVuv83JiKL+oL0Ilv+ALVJxUGmK1gXbs7LMAk2YWIDIcJfLLaxDJNp2AjvXkFldNgmPn9CLOT5GR3GIbCmYl43HMCeH56BgB4xF489fYEcEBbpzIkouJ4C2o77TMQ8xe92w6I+stvYsNzeTo3vYcdKBBxawY7s40c8IzoEk6/Djx/2s8NOH0fDDNTofmHmwJSrvcf9z9iyWF29uJrhAxECKLB7dkAQBMGQDuiMvcfPuusyKKbPikIcds2e5qQqHXKkTg4ZB9u6a5QfGNTPbA3ZssggAMisyMKbIgfJ/qPdPxxZ3+fI9lWBN5aGWx9GBjQm1JOw9iR19CDxevYjvuFt2zGB6HOo64vPQId/QMAzbUt85Bwe/re5Az3J2dnFRRPazynBb6U7IumhVTBMO1hF4C/v34VeEndYA27OQoiZpmWGtBQwJhKlVTv9TG8RJYNk/vuygk2EQ5ZjBgsIUe8GFmcvyXbr6jCaapgBXMJIgSx24sFOhHmzKRRt6eVAQBvypCUDSqrAFInrI4Abk61KmtHOpQ8ibrmco5Bjs7Dg/YT+YT1VU0/5lw7+WGToYaNINdvQfYAd1oQfEjkvAPuqN5oSvIRs7SbY3PFZRd0DsAFcK7Di+ix3HvS+wA3lL5FzxGfedixL/1yuQ4UCj6+2ob9/pwWc3G8xBUHfsao5ealF3LDfbHMBwjQlMdL2bRU5+I9r17TQiP5o41gjvL6z6BglyHma3O7y7HmNcA8lKaNkVEm0hq8VDsCoDCfsPhWjb5N9hxUcCepK3bxuzdPQrA8284RIt4p7anFM+zFh4GXZM70PHP68wRY8NPHx6CjtUtf4eRJOHAXrvuP37sMOHJLC4uLwco3Own/MM5GsWM5bJeMhIJ3QfuC6zdMi8Z7EDNFbILCTSBlChYriCHFvMW+pyCECJWXeEP8kLJqKug4SoQgaX2ZZSL8hYZVTUKCRq2vcsZE8WxUeJmoNrNxi1TClEr8W/dDaTKS2GtmhuoC6VIcy1qlPJk1Kcjvdkn4mXEqDULGdsi/MzejE7GgRILYBGO+H/SDFAxsIOUvCH2PHx83YFyWccDz9C6nVnvFfQzSf0uigGbjYbYEfr8C16loQz2qPe8SPYsUej3RLbLwGVqp/BfVyz774tQLSPKXBu7etIF9x6ymalnlBeagXl4nqSpfUkizCgT9C/YNaGliPB9Gq1HIGxLyYYdLsRtolKK59ULGuzGsA/gVWJE+mnyac1bk9Gc/x+q8x2fmh9B+zwJMLqcB/KgnAnORhxI+FWXcZNUlL6OHZ0XoIds3vqDsGOMIyurhodyRMkKbEDIxaVdvjHyBr+ZdjR3o+VpOyANjk5u/j48TKPTjyM1uRjj8lMA5YPLBeQK1DlIvJAzpuYdzx/igSwKeTmS4LLOV4wJWXsY0APd2HiwYgZL/YPnEfoz9d2uPuGoSp/PdyXl7DIOVXnaFyEwqgoBRV+Y8ZGBe4d4zH806EOQ3s1nQNWmLbAXmcusvVaHAo5cqGb2Fzk6POZLMCw2lgrBtFTnbanTBv5GVL7gH0Q9j44+BpYITSQfmuBSLU7dcfq83Z5YpjNVTHia3DVTFc/1Tjha8xZ5IWXAjtu2LO0Wgx6JHbUUKHfwY5egx2LI1N3YCjj9rhdhznM9noYIvCrvrqLHStih9dlGhQjoaJW1+1i8T+AJILja9cfhC2sr/vdFm4I4Z5zGB52j/1WGIg7EJe7WsctrxW1MK467OK+TI6KZF8/7HZDnrZkKcOApDFk71bwg0M60ItILqRk7R1qVGdztCUSvPu871i39SLsuDOjxVvEDgR1RqMFtRsfmnHKp0+fDJgM30s1At/DoXwnLveRqDH5JQY/elYd8vAR0wG2gxLBNL+4vLgY8lrUdbjaw6qs+5B6xOwqLlBpDDGaBdWJHgRYQrrCtp8AD8ahY4GWW7cZN+8zKLW4gIt8lphtTGJnpezhhj/sp+SQAy85+BBLJBPFYNx31biE+VTGtZORTlxFUUoh+nROypQL+LAPppZjIoJREa4vV+xUMKilRTrRQpxLGSBHqmOpGjNyJSg9SMhS5IP3i/gFC4L//rVtOd0IqY1Qr/R6sfIdnzNsoMWb9f9Wm+0MpQYZidWd9amrT+8RBhpQ33HARCZEqCdkO27ANQI7PgM7yJXCEuLOnIULLSdt1h0GOz4vIziC9AU7Pm83w0PMWRC6OCUkae+CuuPEkrx4booxhk5IWniaHkg4DFMtj4/hzcz4OryLeegBRxu8v32o0fN8KFPn5e6HmsQtCmhOOHR/1bL+XL9TpEO9ev3mK9hxHzpmH4kdkgozHJYKGB/21QdqEWzRYGws4FFRjE73JgkX/vnPxR46DvVvoIfPiHNCR3FRnJ0VbIA92SCXhu4h30HXhaxinkJBcRjj3fCOMRx87PWtfyUVVm9zZrhAyAGFRzVmGCXmLXkWoexIh6PE/oE/JX6+Q3gMybKK8eeg9ALbKuIwiEIDdj46YAWWoAEp2b1UI1Gh17NpSTkIVV8gR5U1ZaFBRzG8DTCa0wNoiokMTX9WSnVgxDKfisBjJZu4QB5ih/WTxPZi/YpTKauXN++iHmTfW+rDhyd9L75efZxfyyB1daeXmIPvwPQY3qWnK2y7HDjyenP32GEBO24a7Di4o+9gduTJIWe0pgv6zCLFlZ4FbdJm2G13qXqvqUmPohh8x/XohJkhAh0tOfv5MhM/ZAbPAReQB43rpURfAjWIDf3jY95frmq2wgewhSgh2IGHtbtme8I2H/+T/U5d+i29/jp23ELHdIp7SN1xgKcjevveFBtc3AXRMkR3ij5l+FZYlyQS7HDNE9X6VXXHofmn0/F7+KWexISOC3CfZ8M0jlBtya+6f/KwEqLEC7oMHdDmnLcwmZqL9NEjp8hAI3zswEpl357L+kMbUnSELKTJeEixSBKEwA6EYTs/SlcqP2CYjKaSmKBRbvh3TuuNRsi14cCWM1v6+pDeoK2x0ByIrwY4LFabNRWnE6lF4PxDcw/KP6gtRbklI965mqsv5gSPhchBlFGBg7V8WZRjPylpcuCqFdNovt3MSnT/4XyLnLDr6wvkbd+HDHn11VhXlDkLnUZ7wA7WHXb/Kexo7+uOp7Gj091jh9d2BTs22wU9xShbLRF622PJf8gqYmBq/Tb7AHqqAkUOJdiy3xX/Q7og9psAbhMXzY/Drhz/iSeobI20u1J72AY8/mTsOLE7D6a0z2EHiVLk0mJ3CMynI7FS0qUQP7BoHybSqmQhev6hScZti3PHr3km7mCHoLtUO0Ec56g4Lorh2ZBHEh2zR+0+tt9i63II/DtEElaj9MBWC2Kscyyz2cEjd2fw3kATXSTXlStwQrNCFQaLdfp+xGQXcJo5gx/1Uw481EaL9Q2rATmJWRToxqwSEsSOJVnPkgkx+ClAc3BhtuQodq52hDMsvCmcQPVRS5wVlmsxyhUdyEyKjTl1YiRZN9K6UC7GrkjcCPFV8EMN/MGP54A9TnCsOINsYjUVX76+N7u+Xt1dtNR/5nNacmD3RELi4N8hW5fRC7Dj4zPYgex61A3tO9hxbOqOVYQiVjwHOeWUBDqweH2ajstBUpE+yf1+wxto4iUdQHCtOpS7t/W84L2bJU11MDQmMwIerdav6PK/AzsCCVm437S8eRw7hFyfaSztUUdtK9m4XFWjD+9HPCkRgvuWfmVXSVQlB3G4x2Keqr8EQ2/5DmzxQDWLjYZeQOdRDGgvh6dBlPD7TGMfvZrvPiSDNEHFx848tB08qQrEu1U48blQ+3imkfh1hSnFpLFUKtxSzRlNCSE7YygzK8PnYS6U88N+SkLHcqUUh5p6zTUAbr5SVcYCwU4zlhTsUSoqv2jUMdUFFilWWHBU6kBYjERBxnin2VpWWzTVhbtvC93qn2unspA9fHyChcxvhe94dnD1HUc8Wu7m4ziuwqDrnXj9+rrReoGpXM05PB2ei4L8ehX0bUiVmoyF3hHEW8J3PI0dTv8r2AHfsFvs6JueBRPVgLtR9BxEYdIykHEoYlapPQyadNsN6yjDTn5Y0UJwRFzIFDvuH3t3u25LWNg/HDsk3OnNM1FwZvte/xHoQMfieE633eJ64QE6lGz49u3wbUXiQ9zKklCalUhQtt1UX79g7/IOdgA6kASPBfo0o5MPJrSkOjBJRWhkmpwKees+hgSAD08eV4xpu5GROOVmS2SHT0hCsH0LsIHrB+BiUg7pGmYNGSOHXf4hyhHms4T2D/0pkxIiPQ47eKJLeyED2hnZD1GnL1hEEBZGgh0i8FjKwGUpUZPG9wfYAaFHBS0YXX/g+8NqBKTpVHhTch1SYUjIy1yXWZayNUPx2Go1Sn9OQDcbITsZ0+Awrkjp972T2izDfrqqACMfgR1XJ6dmRhtDABCq1/FRCCQw2OE+yXd0X4AdB4d77IB/smAHBzD+oBVRkw6ldNsgxGFPwONYsMNi9dFtepPDO9ihh8TbGuzQeUZ7DyHd5tVrETts+4/GDvKFnaOj11/DDj20LAF0CJpCLOr77TZRIgOnTxEVtSW4knEu28ZcrSNw0ZKW+GWefz8IO/RiCKaS8WxneTpkN0GetN2PUi6mpWkK5zz/sVrI54DdR7ECJMBPBZkoKgmAyGMKD4xdB7aHaQcjXOg5ltcFcQd9+hiKjgSrMTWjnUCWUAPy4/iOYiYlwUqlWzPNjpxOTePCWoGYMVZ+QzKtZYNlyfkrUGU6L0fGMwzUTE1NKn0CgCLLCQe1elSsbdCtsNgARTJhVbPhCGfPzU6BrXHoOT9eG6YWitT1TqKuA5VniCEH+Y4hVAiYs3xcYfX+9HYXrgVTdMWOXqepO9ze49ixexl2HLYf8B3cwQfNIdjRGvDSide5JMoHOI7BWJyYo9+0MVqCtNm5NF3NiRQY3X3nwjt1m1SI5hUsnMcfjR3kC1uP6MPuhbLcgw50LD1E8/UZKQfnpN6gbcQl+JuyEv3/AF70eI6bIVZzVv+qsoPYAdOXFLiBKiCFupilRxH3D0B1SQ9zUYONeNhHeSZeLbScjNPMHH0Y6g9U9bQbfXDuDxwvgAa6HLJTwb2yRFzDItAfWLonz1FPSHwYDZXzo37MuCKDKfNVdi0L40Y8lwg4ZlcvppSNEgxqsQST9Xn8o4IxJCxIwC4gpaYYjG5hYlA0rhaVRgaotRhKFRjerdYECn4NmHgYBzFtkhjJgFWP8Ces4DsQdrQ6UZzD9TXJPPAdHLNgp7WPAObNBvqOTTNR3azRmnZCX/NZEIPQkR38g95D7NgIdmCP9nns+PwF39H0LHDhiFjWCHZYPPvb3A/3T09xMULmgyg1FTn6pjPpWoeKEZRRACMUGEyLcosdbcEO6x54/KZggZdjR1+6lqfbFu1V9sghZEe732AHK395Vu4fhzKXvTNdaf9K7FCfMGBHcZZiiWUYBPDwSdPiIu5zNAtr/rOLMy662pIb6j6+FutDE1bmYj84YlGVwqCDSdE2y6jQ1nx2+HtAQYaWBdakqLcQSYlqBX4/oxybGBLQUoH1KJPolon9nsGDb5wNsylaD5KWFHbNjeEP+4iFKQlmhA20JASNNQ2Ll1pv1CPBCGzO8g5TWgTJJu205hYtx7d1qQEtciyWAhjb9Uo7l/makXGbddMlsalZVFniU7ziU8nlWT/QzlsCEoJkPMdGVLjYbEFRbjK8XBPRhn1W7FhCMnp669/RQ4rKIbZRsYN/1IPNqUtDHtgGATv8VnED+fccmnS8fG+xI8AJ4J4cTDe7xokMGzJg2Y2+AwkI0GodHoSoOzaoO6A1gcC16tOFMMB7wemZWp+enR4j3CE47vAaqvToAbZfYFN8OACqHCvXceJjGosBMN/u2/4AqiyvxSSDY+Th+k0YyH8FO1qd3pNti/pj63zFkB1Hodc8rCcRGO12Ax93+Ia2ykfIkv6ihuUOdvRlTB5lsgCXnmITDlOWAsowGuAeB6fcjOOOSZ/YMXiojGQ2owNdKPVdUKeXdYG2REIWGK8hJkDIpg5SIRTyQmyN8zJD6nXBzZWszJkJJZaD4nbMgBH7O08qh1+SJyf6qQn1GzOZeyz2IQhzZSJYfUwnaEdkc42dyoReHNR2VLOaXs7YqV1ORPzFDoaLLQSVgrAygStyLZELJD/odTxRXpTsBgsNYsZSlSHywmAsFIjyTNxJfC7POz9QaGo7HkwDnRhGgz6w43rz+XOOl93pZ/X+MT3LzbrnB4EfqP/xCaYrIX3DDll3DAZ2Sv+L7W4ZWH5xs6F/B058z2uwY5NQuugGh3vvH9muQ8Oj+g4qT4Ed2FeHsxjmLDDrQ92huXDYojvSgEs5zk9bekFFrEPnOAiijn98Cm8RSgXQ03RIfhyjoEFyzPExI6mOWbmjZuJjjnHTsd11w33h8QKPzN94KHaA1GXbsi8tHriUmvnLmzevCR09RwdKt4qvVoMXtrDDt/ABKprY0dA/rV9Xd0AefBLEFxivXAI/Cmo7IPDKEmgOj49PhxdnDFE46T/pXeNyVEsbDyzRkrBA/YFrq4wO4UPjiP1YMi44ls1o8YFTEFFyqDOgakxBdtQl9/fhu4/WZ5h61vcNaL07zGyYlbJexEHrXF2NSWSSylxoYvVqOZGIN7yJwoHdx3yi/AbOcwAFCI7VRPJYZkyJkx6mlvZGzD9klR8ysIlgx5SjmaUEWnNKi88P7kT2dRdGxTot8SzkwGVLndF+6LpwF6S81aMv2Bw+6ZvPqAFsX/dZPs+DU8WOFRCjfXAsM1qGMln0HJzGOIdZVKJnuTE9Sy7Y8Rk9S3uv79hkbgfSs+hwsvu8365bRlA+Mct6g7Jjk4LOHCh2LEI4fSKfZTvmyseJC+zgN3H26tWZBDYAF/xTpsgpB4Ki5BTLXCHfOQVI+L7Pj/n8EPPmbg/e0guOqR8TT7Y/HjvEO9wGsg8QtvBuch82bkcspuKQA9IOhQ7LbrdUzC/wQVq4pXWIOLKLzoXYcQc6fjZ43GkV+0j36aO+qD9eFrD9GaIfzTCexbA2Ra4H64OLy/zkxH56uR0btakJLsGwhB7GHmHDCwQ/IgRtYLhCS8Jc7IFAGiZ1waluJlQC9mkL8KsJOhpWHbJm9++xwzZnpD2IhvVqrZFvIj+fMVFWsWRu0u6BIWK/MWEEi8xTRFHKugMmYTKBxRgGH+BmCz8A7KDYAw9CCtTaHCsBCDoPityMe/i4da7JtixyJDYKADKfDEH5VCCEXQ2B/3EjJV9+lQ6MfY6OMB7Z7D5vkLIXp4odi/TM1B3xKdSeDF44h/QPvxrsrGw3NQpOvBPnqBKAHit8qIRZcgmWtcJd5gY7rvM4OipW63K2/bw0n/EzVujx2FPDd4zwDr5sXG93/ECcXMOCA7YLwA54nQJuzl8dvXqVsmvpHRnuAxBxmurbhJKAb6UsQnA7mpzzFM6qvSCVuyDhznz4GNh3HB42L+M/GDratvASjJ7odmKK06df5LHsCVI9iB0dEsVdVcHtxffmMNghUTD84C12SJXy67ADAI6eBb3K5eUFxaQRBD0RSVLSHACPvLic1BcpIrsGMKB4rGdhqQCfp3zMJIJJiUfmWKZN8HdMph9L9lzPl6s2GpQy4TxYwqu5uJ/LEhxkYQOK1EOpbb6zZ0FnBZc/lDbMkGUjORcmg2tpIkJXJNE0pzmNPKAyn08pDcMPQOzgwAWZsoALRkYKZQqhWKWDmLlswVDcIUu1IlMlQHD/FqAxla8g9qUL+Zjs5UuKC5lW5G5mY+jo4tAf/FAvoAGrmC6TfY6OZqAtNtiD5WK+YgcdgISxkEX99ZLvkd/BAWs/WJMaEETiI7fb+REUIOvP2GnHrZuG79DPuJNsN/mM6Iy2+mnER/1GHknKZwvncnn7ercdS64inD9YqpwTIF7h7A/EvUy4j6NX5/87lxyZFNiR6s2436l5kzejZOFdACam5wlOjvuua668fzZ2MCmcpBAP6jxev8M1SQCkmau8Ecx4w45FSo+jnsUdMgAB8QFTJKlcbrGjtU+gYz/Yugcdvc6vwQ58R4AO6MCgQ6dtR5Eq+X2SnmHugpHtaTw8u6yxGhe5sgf6yMsd1iuWGqeLuCrnZBcVBhNNkLlAUyCkMMIggxUHbdEzupTijfGQRoOR8KQYX6YsRGw5vodEtHUvHZXOVFXnyjVw8168AKdyM4YuMykSuIAPBhTL9tKqFOWceW/gN5B3XxELa8UO+B5PqPxYiOiLJsbYq53JpEW9B0mnSLXBdbmlJLUspV2ZaiEiQxd8NVyYc+AQWjtOlH7YTj5fPcgihSErwGMm1QPbD5zbxI7dzefP6nROTMGanBYh6DGwcc9bgS6w0QBsIB9F4AMPueHfuH27vWl80nHHG9yIz4LPsZLMFrnrRpMc8MHtTvMdcCPe2m3wPjIlIS9E+pyvjdP52atTFBu+gQ6q1F41NMj/TuVt+Uh6JPc413lyaj5+Zj58mZwEkFwNmtfxH40dh+2OeDWi8vBkteXNu9k/k+ntTOV2/gK2g2RHi+Np0qTUfCt69AU8hPtgCWIfisTf7uuiUIMdnZ/vdXyLHaA7UvYl5xSjY9KCoB78kDQAyuUouN5ycRFHT56stpkYxJlGJuRCa9B5tJDHA1NYYYzElXBMI3TxCSpg/TOKvAQfyCKGLGCPdmDb31nGU0HhouaY64RUqVFJlKVWa6amPtSEkQNB98EFfIEGKkph2MFxCv3AZno7ohTGYgg0X2jKLMOv6eqBvgZxcc2EllJTOoipPbpo06fGUIxfcrE0sS3z5YQWR1w8hqQuDh3vx2WItMQqATGwPpZJcHJvxcjn84YosVHs+HyjqNBgB4CA26/EDkUbmufIgYoDn4A4c3MXO3AvOvKgrFE02tzosfusdceWYxp5H4DCpCUYoG9KRmVDeR72ThuuFNVHoA2MZF2+kvLjVKqNM3mTH5S/gDPn5m2gTsp3Ut70McWYxj32fwV2tO4dZCXvsRl3xVJPnWvcH1btm89xy9Hb2Zvxu3dNk3IbTiv9ClgeNgMnyo9KZ2LfLTxsupQ12NFyW7cG7T+p7miZ7BV6/NiynyhsByq/U5QJKaXooEmRERgxYDDOz1mI4LhEL8Ot2hg3u/agZT+kSnn99CRTBZwFOFMcFKkDO3iaMIKBkW98rypTrMBAuB7R6qMcJTGX7odW6OXc4G9WcL8DQJgZiSs7DTRWur8iog6KxWfrjUg8GB1L2RYcfEoadBAjphNJYKHbBiuQsmxmtPWM3qRcfoFebL1BeuGMpCpt1Gez6s5RG6E77rgSB+U5A56uTbM0184FvQ4emuNpwgohFnmiH/fyhjGe44GWD6MWV4YE+cq3Y14TzgF/5zzUqHlUXp6fn51fvsXN41IiaPT/MX9geeRIxtDShPL2i3M+QG5nY6f3lM8hb4H9xjtn8tnk07zlrWM+SWz3Ul4LOX0Bw3HWFBsKEjhTCAavpLQ4Ojc3n4PPSFMDGtqunL6SSkTug8KFPQ8UZm5gtRshyK+CDqwE31557+nj9dt4hKpsq2Jc5BC8AyI3QAXhZ7+PG9qtHMksqUOVfZOzZuuPx0lN63Z3h52Q1eoKk3r/e/0Be9mGh3WkurB7XveE5BkMKz1uvvmdFixYTvrHcXoBTUd+eUEOagj/KQZ9RdB4AEzOLoAh9QU2X7HaErCKanWQFxB4NIKyBxzQmqcW3KgtvcJ4hHzagliBfoUAgYsyYAStCrRj9ZgfScCncOAyomnHmH4dBJR0OP4Oc/y2p5nRkNgnEFsslpuVbNxz1iFdhs5ZeD6vwGGyM+Hrm+0DRrHVnAJzAEmtzh3EDp5mVcldWAlPwPERjcjHSxBDHz/W78rRdIaSo5b02pL+P2RfJRtb8qHoV8pKhTYe6kfIz4SNtQn6lYTpFPlynLjNTvKPaFqaawRfZm16HvHKhIEm1trRNQQsTUDK4/YWB7V4DUsR7HeddtDFUh1z6R2JznO5k9l2YKExcNvegc0ZCLSgiMfgqQNZiM3PyHkHuTyU0Fafb7cMZ8mz6s5rWFNaD9vHLgcrIDE0Ivd836icnd7BjobjOBPsIFywHjk18NL0Lixc8CO0Hbkc4lpo/yrwoAHJLVYIEXFPbyFKi6/qPTzvkFKxxtTjTUOSHkF6RzlYp2NM11+U0fijtcqHih0OSW7inUcVB5ff434bXh0dH61SHJwCTVBanOVnl2dYYiFHSpQ4OcHgBacIGA/8mw91Lw6xHaRx1UWp37QXd7DDcgJMWnHByenkQ7mGiMVIHAz5tWEYhksf1lnQBoxJwwNSsH2bYXNG6JH433vFSXAjSVI/Holb+VrO39m0WZ9VgZgsmkDUZVSjGJ+oRmO5lFYF8xVZl0UUnJimSxuCs/+jHAQN/H1+/pHGxoiDEzaVhOpEyg6RgC3UXEj8PsSvdCOGYlMdwqBoqXNYXsL3KB0u4L7nOjhFHeu3HZ4tgRa62gg76Mbq845yzdY60GkSBxz727/jdnSI7YzTZqrCIsKQGShp0lSB4Uz6kVv9WIMd5Eh5l4C6VIUefARo5R9whx+XNJTRP1fbJV2CmXR0Du8f7fvY8fXr/onAjehMXzVzFT1Qb3SV+zQ41el0Or/cX6CpOnS4LKWP8BrQnQP1BrhsYOM+H5IQRYVxcVETO3D1SLnCEp9iNnt5WdcXBJWLU4nLEFCBdIeeiNDn95uFcoMdTYQAvP3QrzDmiRXyqKoLosZoKCEMZZmRSsWbVSlBcjmdSgtKTKko+Y4sSZ30I0fJSyfoVujko2SHiaUn6SCDD1iW1oUqvFBrox6pKc/QPgToxrUVjlWYR4uk2c9rDl8/EjTOX7/GwHCpELIUa2FqQuAfBqZDQm2X2hBxKEyBmGDHdClmYqRXmIxN/Mw5xARG51Ngh2bl/T7woIgOe0mh60LxytKRelcbdgEOQiE8j5iCiAgIYTll03GOUErf+utBDq4fCDgYNCB2nJ2SNj091brjVLED3corDoAv5X3c+1XDfUATK5PcV2fyWOg+Dg+7vwY7+mrnu/eruHsctq1v04PDZMtBIeYzodNAhpIaQmR0WsZsXYnP35Dzdpe+6btC8UK4OeQf6IO7XRjCx0MENSPGaQhF2CVqcW7PYuaS5bqJf8E/l6BBCgZumK3aGJWiS98nYIcZp+7V9A7Rg66CQA9W8QyYxMUbNQgxijFQuKbjkyOnsahZgFAQAl03mZBC1ky/o3Rnz0KXs3aUz9cLHaYsZHFFqg9xJ1XnnwWSqaspBz/Qg1KBTsEoMxRE+iWzE2zSMtCJ9QJh4xKYQfA4J2pcnl9+JHcg8LFZ64B2pUbl9P5ZqMJD/EpnusgyE/fjVZUDHlFq5WK3XbCXSwKBDdsd/C7soMDVILancS+2ib6Ub8xTAdutbZFrbJy+tey3W2FH5GQ49V/tmVCpMsCHsqgw2KFkaNrUGqfSugiRirrDVz5VCVUfMbGHcmK3fmrPYjTl3bZZBj5sfUme3mnQXgAfIsHAQo5D7qCn4rieN4COFD2CcEPmC3at1m/xRGsqqGN1E+JCATyMz9KhQgQp35SxKhSiB9y7Z6wC57MRnMPOxmN6h12QJ51M+IiAoMLSA0dMuhhxZ8aQwjyBoiLFKgkvT34mgg6ck1B0cMTC4SzO1ZF4/gBFRvVQ6FNwIMi9T+hvjDb7e+JLpOYACdVOxjTtmnMoKyEKlHIZGZi0MBSIjmsTYY+o+4mQf5MJBWAwbF5Q0LXkEiznNNKoXIIHPANWLNmuoPrgX+kZaPKPH+cSUMu1+8VcSpHVeqERcXOhV4EejVxsvcwTiqVgixYlaZJUGPoiudNB7pNt/b4DUbaen1HQhzXoiKwHupYB43M9gYyBtDMgQGy9VLA0cb49BMM+DsJmzqIT2FOdwAr1IXVHT2EjNXNZ3ry/xystPqBXb8a26FlwwnHtltjR+fnYIVv/h2oW0D+55yVi7yHk0SzrB9ihVGhXWwPUMcKNsuygiKzTYEe/a47fIkihnM1VKXw/iI0PKfCDfAY1HLjaY76SYENJhOh02j9B4ugpz/eccxfSpRCGFUSLPkElZ3JLjvtFGRIM9fpj3GhtMyCRzGayHsinxStyKNUFFsRJKGINjgv+0IVBBgJ1NnI3EjqFwfTYhen198SXtNViKc7GlFdMuE4iKW0aODszCXAkMLHpNpEChFZhtY5bqe8AvUGuVCyPdQkWrclm+fH8jL0KCw++yfaU6HFJEAF6gD+d6hZ+PdNWhZNhnejKVJaaMFYfi3km4R5iloTnF6oXLig3W/S/73CdqFhPwXtlU9AvmsmnHiqDyJc9XUGKgW8oEFmKdL4dOzqhNiuGzPD3rCi0opfUmQJZLk3JodBxenqrDXv1EXXHcSdoPgPuj0rf+I393LrDahzLgAzCb/Rv3QPMmtvtMuvLsIMzayCQ05dLXiO27+iOCuMpGyV7/3dwpfuBETnbXnSKU7VQzlO8BIkdmImIv2A8vFDs4O1Ac2AHtmrzC1mtFXUHFGOwUkWzecZL8FnS78f0wZKYxqbusG+1Wcj+BXhQGIZKJWO/AnSgqQ7Fpby1oFCsHHoW2Vu8ncUDMSl0/32MqAO+wwmTYqqAsRBBqXF/nHNcOhXAQCEwIa05Fw8OhCgYZ9LJgkrzpZCbK+7crj9OLj/KcAVlB3uUMyk4zoUPJ5C8Oz9/d3n+hvXI5FYghmmuZEpTJsLlO1G8o/RBBTInOYy6A1IS0KtUv8CwJI14mjr27+Q7kHeyqUK0JhiRC/CbBGfrNn9bln4xiBerEO9fWCTYx7rGBmg447KDLLGcnqI3xgQHYvXT0+MOyYwjoUP1LkccyqT6JgYs6SlSYf2efBRkB2qQBjtw7v5M7Lidx6on+30LM7vf/RI72l/LmeuJNTCxB4MMerC2GvTgbEMWVnrNoKX761d1Guzo+bCrPsXGCHewuMsQo/cYZiw9jhPUFdCMDin/GlLbATYUV8a0wHCW45U4VdtjJDAh7BTRH+h6UnY6J0E2TiQbJLzlO0i+g4EfSJM8sHIJqkZTMhyJzKPmxiyYUw5gSKNioXQgMxk4EAa6Nvc9V2DUHZChlzIOVY9RxY6ZCWQxUo85sYN7sbVaCFLfwTqEYvKFZqvodhx7FaFFBT8+CsUBpgPlBoCD/Ok7vQXYgUX7mmlxMgmeqUR71VQ7M27WLjh+mdOFADzyfDbm/BpO16VIxKLfWnVw59hJdhUQ38YKfJTA8SnG9B3keOLDwyBO4DsZJsimcuijgHF6Ejnfvq2Icw6zvQ6g4RTEBqDAP+TUGCooSLzQzATHh7D7wOgEnU1PKUT+CyTBX3yHgilJVTIfxDWux6QUOKBSM/Uzwbetbu22G9C93XXZajh3clrAlXoDbURehh3qAawUbGPDauADHmB2u2d+/J7Oan853+FxR9b1W72EzTVZhjTWSgshCnjpxpiP7xfggBDElJw9CdoaUKdAlUs4Hl+IppQzkCjGhAWKMYDK2RD6c+Zz6aQFGgC30zHzu9sXFZr6jPxIzi05WnMhVqEQyjQvJnUehTDgx1h2XCIl7HtSyz31CoExaTqaLDSMTZx3ZHOWKq1541bKfBZOVeFyhnKDTmnllM6k7FOahVh0VmBBl5cEioYTNUwHjncyrZW5y7vX51KAnM83n6kj1S88NxGTXPyfyeqLKkrJvJDoERQdJ4DomJExpInzNBJGgatBv4EyJUedbqb4lsrcCqfrYrRcegjuTfNVaWXLRYFU6WmeIiUiKjZFaKU1xmHf3FxqKtJ+chAErQMKRHo9SWrp+AH8BzvcmXWRpSCgISfOIe8Pyo57s4dKNbi6hs+dDsGO+1qSn3Hgy1AWCm+uYx5B0FbYYNaDHJ6wAz2fEPaSYUtLJeYNmWHmODqRxado9b44fjV2OLJff8zF9jHXYzOJJyfLc8JRChTRaUZoYF1BdKCkY2jmK+xVagxtBTqGwzPWLHjEKZaZzi/OL3kbhJHaBtuO6ulBk96rvMGr2SgEgBTYbsFEoyxVo84ypgJdqXJ3xBgzC+o7MgBdS7yFLHgoT7mrKpaCIrHQsamskyzp1yHb9xSNgmCpOC7lQIWlydqQFBB4IGG7/ChD2UtTa5ydfzSiDgES4Ma7c6wcvHpzzrH8awUXVhXCq0x0JCzBlHPBjqnqwzZzykqAFSkXAdG9kPogtiZ0NIlD8h6+Z/0mujTZTaH/XaKJLNbMhy6isk6TKd6eLrFrW62tQQlDoGA1s8I8/ze0lIwoDi1SEwCJYxoBSAaiy9K9DQEbTQlxWh6fGKss7Gm0eIK6J7IU5oo90MGhmaqIBsJWcYX107HDqCxc2oawS3GlGrg9t/GzhKGrE4OXYEdDgt6Z1TTkhk0E2aMKyMrOz99te2RmaVnHCKbOabgDIRINz1390Vs98GKCEpzDirrj4uwUBcmQxoPsNVMhSuVDZ9jBVkF5kZPOwkl1QWNTcqXKbtyOkewHPhqoBUCKjhkiOaYxGPfggCQj4UDIoeaSe/sdHoN0JsMabzye6FhWB7KSuLJcqofXQuLeaBU2mdcq1oY2jOSm7LlIoD2I0krMjN9NsFovcHG+b1POG6KDlQdGisAMosZrUfZgFIXGZk1+gyUO4UKW9AlYqk9bkHABQI2FLI2pv8tM4QFP+bwCXYvOJZBT8pfDB6diwA7mSmcJAjBWCLpYD8NlhVE9+I/ZFLXkeJ1YxTJ2rXxdRKP43yB9V5IUDjmgUI90vodT8FDdSGkOBrdeXGKhP+2z8mAaC+9zIl7p7RaTXPqOuqkfHsC0yLbvyBB+6jCiwQ5bhy34HiBgtlS7JWWBenm1ei8lS7kD070n/+q0GjThJxQUccAuyRjz119MiB1BN6KZBmjP+FR2/NGzUVTc8aEdP5PmpDDNSTE8Rd0BqGDfUhQq7pCyhEOV4QiFB2wJMVjH3YkucdRtQu31GXjYR9shvoWQdkCQdiOoWqezwBDJsB2PhEKFDdDA++6qG6IJmYLOjZTUDGRp47WQRFgao2NYOjbYAQdj+hEvNQqhiWZhXtM7chmrOQeyBjsuDWrobJalBsoO/nspisDXFI2doVbREkNNDcUOdWmcT6fiFoJvr8KuEMGDChpFEUTbUIs35gJhGlneb+FKMZCNd2Uob/v5GozGOg/XJSnTOJrMaGM6nyYjOKxEITKqCinz7G/HjraJUbj12+x0GtLgsCUtf8ewn8coP+y+nJN9vNk+6Lb21oQGO+6LOX8qdthycuNncNr37UIjz8Y324REtN0XYwf2BSz7C5WI4tBRcwhbSlB8JM/1V4h+/G6QcU/k7CJGMhW8zkF3stjqcJaiDqUYmDJ6FuowYER8dnF+IZMUWcgHqFC0hV6HGy9yiGIM9Qju3GXLguBZPAfuoNNxH9cpO7E0J6BGIRDDHyg8qFIf8dIbDMB5RAoz3zFfsYJohPkJ5yO6t8IeRc5k2UVZ0uiYmy2LeV1QzVHRxVzln6wRKpG/jkU5D2lYk8y1LzzMZEXqD1k7OH+nBcc516Vfv0YPg4UuLTiWgl6MnxWHkJnuzhI75syuhNVASsygiWOs4EG+g/paTsHiyHJ+z6QlA1cKy8G4CItV7Mbrwlqi/giRlDOZD9wwyiAKdAkm2WaW/ssTsGXmEtbtCXjYuevgCxaBjutqUCgugxrKgP2Z/jH7gjarFa07+iftQ4UM+1DBw/qZ6ywdaUb4nYY8sDAuR9IEK8k/7RcPaUVCau91X0affvTq/iEI0vodM9qWJ2Np6EhZQECgIUbs/RZIaVBUWHknrYHZSpyKYgzlyQkxgoMX7BcAHlh4YPCCCyJAhU6EpkyRggR6sq7oky3buid9s2+9/40DGMY8YZixPRnqiTKSZbkkGsCvc6AWg074PTV3mCH6cakacPUvXhhPHr6hq2kSyTIZq0jcJKkQN8pK45xI5tblOxQnRI3l8nZ3hUp01hwiSpf1A+E7hOuAXcs7wY6zy7mMghu/EEZca6T1NckU+qCiZaryKJFBFsCULQu2iAvMeeJ4CPqJJtBW8OuhA1OxsNhMsyQdTqpotEmsbF3ayXoFUiqKl4vQt0CXwpcFb4TRdOJaYgr3zetVHW7lcSWUMgmZThwKdki9LzyojDMUYCiEJo9wQLNBtCsgRiztdMCeHoPvYB/TFmnFz8cOS+gIRmwDNZCvxBDY5uA7b99msLg6aIf2y7Cj3SzCaNfVxT89s9nyz36t1qzGHR25v14cJgQMEBwgAWUo5FzkYlD+kClNOf1ggQF0YPFxNhSZBywVgB0fuVDL21CuDBVe4AIHihSNvbHzQM9Cz01b/AbRpvrY0FRt2J1BgefZGgDAv4HUcRhy1QUolXqwGXP2Pj3e4DsjFWJMZqdmmDIRkedMZWBSBIi8VE00FjMNshePDnYqsjFLLoYMiChQl2Y4aw5tWKRdYfPCXzB2H9m7cMaybO6Fe3wEubEU51ITWjnRifBCsGsuiDaFT7rUGwnd6Nm7FEhqyIQBQaoecvGi3yENc8OsYp5fXiZwvMd3A9WJm4yrIZtBeBVZWS26OYyDfOSF+lGj9/imul/mJmhKJFxBrc9xPZf4atQYCISyWoodrCjYu5AvBYIckU/ArPaEWU997lPJ9ofmU4K8M3zpjz11LKOsVLOMvulLkuH7Rw+kS3+4GkrmwX6H7OGC8x0cNbhhqZGx1hyvH1qovzFbcr2OzKC7P0uf3nzS7v5phCMYnmz0IcCOi8SI4NwoG18K2Xl2ruIOmvwAD6gbo0hMSFJIwFKKOziggZfY6Ul8cYFzhOIOdC/DFP/l2GwhJMI0ggaV+BMF9yGSajHbEwEZ/glEDsKzREVljoqOBl/WK99+RMmE7n9MeFsszMqb7r5J4yKScb3D2nCXU9YbiK3mCl7FbBbMW+ayyjaHCl2Q43wPHmdGFKZ1xiuDJK/fXMpd3r3TTZfzCb3B5k3VIUqPmUo+FD2WElBZpIboyCkOE3/UkniC6XVSckb6eyQelNU0dEsk/zuG+A+6CB+fxPjGQqToREk94K8VSr47cij578uX9d6nRg8OZwU6DptgFhz0zdM8OGoP+zyncKa2NfsdeEGEUS6S2HF4QOt0CD6IHYdUVQh22D8eO0jZShMiUxQbo0lP+pS37584Pnz49Omt6bysqMsV865YApnW5EEPBJ6kC4vIlvIbpuZ4/HhD9GACTrernmBd+yeUGUaFRtGJDaWUJ40j5V3AilTB/thnY52fn+fQ9OECi0YE6fOsRQoWGrK6canFx9lQRzBnQ1wi0wvaVvCjstwCc9IhmNMIg5y+1w8Q1gStQh71zfLMrxDhaxqmI8tvxodciA6BAElg0QVa9i5UeEhXw+aBW3BQdiB8m2n2YG4nE7XsYdi1KDkUDC4/YlRrhB1af5xfEjrggX9u5jDoXjhywbsQp6NmoeLdYJYmOKg9ITNfRC6GAIdcCg/YmSxr5uOh2ijkFjDKM9QdOEcHg+82LvWsO82P14RwsWzwGp83jxEYkPH6d/kxjdLRC4+4x1F97HWTxZRcVRLN1rNk/3qD/4vf2dv/ywV0sBdwQx0g5x2rBJ8ePbdI4oonlsQs4tXicPOZb8OKQF0d8NJteyG81juivXRbPhTDHQxi2KMc+wCfDmLmJAj1+FjOUPW2juRaJEt8AyoUJfLKMjI2t/nBuIVlW8/vARM7pIkS7EAGJuiM7P1zB0LpP7B1QVfT9gQ6nsUOMq/6HPS+AhyNJ2EvhAtPJLUbHdd/PJ/T4q/txGzgiQsqQGGoEg7agTEgJ6YWCfQoug8Vd5zB9xG+/GRLOZ5l4YEDy/eGSyXPQVShSZQoxs643NJs1YLMwOJ+zjIGX+LEWA/8GuyAHhKvMgS9TNZLgx2LhdYWcrouTYYkCwIgx4JOpKw3SrW/wlJvUUqUrDiZY1A7mWE5Za/m0MXZffNyKW/j73ccxbwT2vSVsKUsSN6xf1mWo9okKkyl2tF/udzCkQ92brHCS6+SMdZt1jWePwqyiB3oE8bVapxGnrpohN73icxDP4zM4fssCcE5YZ8e79F92pMPgPPj39Ht4eEdy7wdYnUtCkKPd7ZyFGkgqKJxldv7e+PxHv/Wd3x+pZDG63goHxsF8slD3ZFq7TNJPaJV4PsDVDLWbYDgoElItxtrB8v1Hd3mReyUvZ9B6Uav20QH+g1pE4hy3t9/Nl/N8nn3QJeDvZD+0gZN7RdgR1uu8+Q5DqK3z2MHwePD1dtQeJygu8cOBY9H9lmETzjp0/7nWdyQg7bph9TAyQN/+Lm1xw5DNbUcWFNje20oZQdO7KGsvx5HnK9Ab84Lqwg48oQFSev4lLMVVCTAjUvRdpyhVAGgwMYDlQfueH4hSobJBeoU/Nig1rirnxEx2MlgVZ9fwP1VElpdm3UQWQARKQPfFCukwKCV8WLvVSqe5lPKwsYyIaZNBxfwQZVCKi6BLQx0wok/2zcqqipF74Z/yYA0Wo93xA70KdhuaehS/PMG931H7CgnVIjNTW7U3PROUv8sKVdDVwPqAMgBiCPPAdgYo40ZMky2XtVZsJdOfE9d6sSTeTMu0k7OmJlBc8/Bk2ROrPTv/f3opyaxvbfHSt/VgIilmjevbj+4kA/cubt4SN998OIT0tqLqA/zjo59m9oXmjOeKTUUFNJKiDuUvmT6oA7xfCFkPdn3d5UTUzsROBYAJaiiE4c55ngQhxQuZMN3EPrN5o3t+YPmmfQa4Z2Ph/j21/ZNJHr+0DfNS5w9Dx0EDv758B7LHpTAyfXzyXRYYpPmPb0MOv559+5N0gm9QBdhfgJ2tBrswPgUU1PE6kR8UZLalP03CAjAULgxb6rZfZyLfgMsB8OFwYZSjZ7TnlT8STG4DUTxAdU6QUUaGfngULTt2JFBrTHi/WAHBepkcpmS8+r+Muxgu5IWTEqYcwyryygrsd1YNbtvEko/ozUYDAJH4jJKV3QkJkxmmlUvM1VZpi1q2bk3yg5WHWdGVsp5ymts03IeqyKPs3dvSJu+Utb0cvmRnYukMsCncEL0mKvCFaZC88Xet6xxBOI5iCUhNiuUdnDYUxTTCUqQyNTT3neUHU5qDIvFqdz8A0P0Dd/b0g19xwCXG3lrf/DDN5vmkfBDvqF5MfOa+PeN/rVRc2NxQOdx5wsxUe7Occ3j06dP159GMsM8vCOBl6F0THzQub79iNTVsxqrMhYoTvOOd9fMtnkLKyYsTiQJiKUPaw25kUcQ2WFkjB33dge28/y5xCEQJjqdDpFj+BXkUPDgAaysh9HBC2a08PJrmX7lq9BB1eG76ND4lf4k7NBmE1f/QJ7DTGVeCKhG2SqugYELYzAMXgAH0pCYxVok0ILc4NVV9B0ElUtWKqec0gj3gfnqhRQkKGFYqdAkSELdyJNghgs0qrE7dyKLyvSr/AXaNzId9XyhOnQKN3m6Sm6CXgL1ZgTQy8bsdErbZUa60R5Qch9n/FMZ3pQeHmQ7iB0sNBroEOwwprSvL0WQTkU6B7M06iXpgfsQT84RbSsimHIqe/zKdUiGCxNpRcQqcjHOetZzpHlz44e4BX+TNE1EZpsgD8v9HhsxDLy9bHeDwqs58PXm692OFiPyvohuEeK0ni0Xt3dDbDWLi9v3GRAlrR+HRQBDFBJIm1zducN8ATziVEmz9ni/a3MIaJjjStUP++8wK9cbYNkC6YFgJDztQQZSR6BbM+0aJWuOE4iHKrbyUC6oSZKj/QfhxGN34+r9hfLwJ5KphWQdOOBKKjGaKilxvBBzPhNUOHC+trdsk34VdzDRnmRfR4474LG6ijUw9o7+/CF09J0uc1peghzADprQJL1DXyYt3Z9jx9o4DYDK5LobN2NFjKGOPmAoElgiADtIZ0h0dQxXjyGLE0pFz7TGYPzsBYmOoY5yOXk5R0PDPobggYkMl3DZtozHsiIt5QmZkfREhSy/CDu8tBIaQ5hJykpxdtK7g+sseKUvZcNkof6jo8lUrI3rqRoQb5aLul5MS53TQqDOWCrBjrlpXAgcZ6/vyMNIbHz8yLnZXpEOdcdH+fAZPwoahIYDYFE47FGidCG2ZbM9/aFyE9q0j0UzR9gaytg2pgNjTh8ECcL5HsFGttuM79YhVlzvZjFPQ9cUNGF6symsu8Px4c02vzUlRV0dzW7myH1shX5rEGG9od8vNtu02wiJj7ivNruZhoFw8h7NpeLiao8Yt8dIpFPNueRkCxY/qF02teaO2tK3sM/wbqf7xkOOKqF4czPXOgTsC79BEZcIQYLniZlBpJfBn1hTqa9QTK3LqAleR2MEWMo2WyhnfZn66Vd7Pk9F1vak6oiSl1QdWnp8Aufx6Soxw9rbvZVHyg6n9bJ2RbAD0DEdZ2ikDBr9HOxgbm43YsDjuJBhKgsPUhIRTAPJUBAyLmRP5YwmgzTxEIQBZKTnl/XH+oyZtHDUFAX5xaXhSFl8iO1xIS4gZEkDOyZHChQ6JakicZTMZ+j+ql2/djzCXENEWJLLxo58vtLrPOa0MmipyylzAmBhBqsfWgxyWisnNldYEKxQGF0YOpliIrqwufqRKsVxph4/BjxIioqWFMle7y7fQOjxThVjr0Q+tmQelORdSy0js+HF1GhdFTmmJrUFtAFHxCPCRU7iI6X1ATwLwMRgoBH530WV4kzJ72RO4KxKq8Lwj1rnB8lmnVt3dRpeiZMrvDPjiSabSQRH/KDLea0Hk/xoVEZh46LJ2WI43U5EqcG6dnT1EDau6qvr66wf3ompdye73Rz7O+UKAIdpjyE/9Qdm3aFJvR6NoELNJF1tZtz20QGUaA4DT6hP1/Q7UoKgXpvc7Gbcb9zsVoVDg7NQ4rMAUdnNTYknIqAQWlAoeH7n91CoBSpGv1517LlSggd+6PcRdW6NVXD/Uexod0h1vBQ5lrPXVHkwQPOOGuMHD2n5u+m6DCyAKyjMMOlOCigYRl2PnoO80gmtIbOUj5foPvoISqHiU5NYSKCywhjSGGwk5mE6d6Eim1UIhoo0+shQfcSweFB2hMNceoydZUNUHr/IKA32gsOpEYxOxWJYVuBUIEYIASO5nCCbuixEcD7nGGZ5veLZPJ8QKqgkrUtNIqF9WPGR9qRLY2as8o1zHc5+NCp0AyNvxMOD3AdkYm+0dwExwjHsXDTuoJAh+5qv10Znqjo1gQ6wH6g94E5Y42mkG1DGHWeGXyTyVlHPsO4TDb5HrjHc7HKjq7DVe5RnXOTpxdvn2eMnKXEmsPb308DQoHn/pBsNPU9e+lE3PJF/unRDNttbFntjVEt0UqivHkENlFMx1itRq3DcGzQviGK9W7G0ijLEVUbIDM6QQRzAGYT8B3JruOBk+dQSirMryo7RareEXj8ZZvKwLLb8NEu9DOk+DuN9EnG6pb54urvJuJRT7nYzdb6czWvsWvrJaHsz5cPxOYHNX0HmthnPtsh1vH8ZdpiWRX70Mo5ELOuJYqL/EDtCoyN9GXZM3yFokgz9207Y5h7M4PsXp+/z8UZLj8msjVkKG48cPqSQi1JvHnFef0K/jjOFjwspJQAq/Wh4oSFOOPnPz2SWUnMOe0IEAqacK0HKrBYRd9C7EJQqLAUj3aoVZpUdTqxW6sdQvUN83LV+tB+WLRJUj6oE1LP4BYxWc5NJrRboU41HoUWX5NzPgB3lnN7FM6EoKf+SZMiJbsTRGgBTF2FQkbVQ1PswhbmRdZipy35ca97EoAWTWqlAzKSFCpBz6DqgTwUeMZmGlKlYLavE1ZQds4XYmWJku5mNkkQ38WFCGGnXwvQaSUfK+Yq3TR///CGaDSMU55wSr6xsu8vhbB5pJf/vDjW7k3m/je9CrazMehYVyiw2kmH1OGqkPHsc0mLF588ZjPUBH8bgZbLdjiTD2J7fbHI/37Ig8GcbrOpGNXiQ3Q1qBjff3VRgRQAz1ph076aMlrt1zJJqV7nhcruqcOO6qG/4N9f5WLmgZ8HzFtr+6gafzh1fC0tcx9ZM3sgIXBt2NDR8kefNeQY7MGKJ3r6E69hDR4MeizJSY5HGYf1BT/TCqkOGef8s372jh8zyXQ+FxwAuYz8+U0G3apDKIyUDO4j4TKw2UC0glwnQQbNj7q+YJVk6lEK0niswSJFxqQcX4JjuVMjQFtBxruKOWjJcRLBOUXWqYjIxLsQHTuESxpeNKnnF1/IHYofTyHkISGGE8exkrSykrJ41E1mSp1x+F5PQSVkvJkqNMptlYVZmm3IDxOmkHDVZ1eN33J0TX5+laVnMQpxWIEb2QZ/BNxSIvX7dEB8sQy5fny0/lsyZqSaS9SSbMnRGFTJR9GqzhfEIoL8IN+NigQ8p5xLdc2EYBTlT8B7xi6BD2n7OIoOwUUMM8s2mSpLve7r7kutDSkGFX7rX2e2HgcAG2tRHYAO1BoQdXPwUfQSyxMYoBSiwOrbNqGO1ucEwKUKLMd5tS6dAXC2GLTPUIEGx2cBaHnnYiZMjixLE5267CJN6vVtXqbvcrbC3SuLCGqzIta6AApslOd5YCBDbBkQMeVF2ZwAKLOkAN2rctXLyKbK3qyjDZ8IVZLfJrdh8O97j2AGfig7Ljpe3K7fIgedhSIYHrZ79OHY4By+DDr06vROLGRB576jycOwfUtPfOzNtu2uwg0uyggJnQ92jLxh9GiHGSXbshc1oHEqTgKktEiMgph2cpSh2KKiYmkTKkstLiNtpPpaSW2VGtSlGZNQrYXIY7dBi7DTiCF1Fgj9u70KJNdtTCXUYFdhMnRrokNZAEuml3tB1fPodI82REo8VJ7Ezk6PAXIexAQ/NeBrzJJdtFmlZPjYL+OfNvxqrcCZ1htmE00ye1+fvzET31Rl2/KEtL7CLC7lIzVYQsvOJaCDms3s5DxSjgKhtCg9sF4ufR0wjoCwV+R76FwYvvSRD01b/E5fUo0PlZL7hmYekztAefEcL3On53L0WNXnL6TssNgL2wQ+qjau6YhjpSd84iEPDTX3EcIn5zjbDrn2np66Ano9YTlz14W5oDXc3UwvYMcZVZoqiIqg3K/zMk80OBQIQIfFxrq9oCbAF0esvb9aRzboDdQpP/yhZ7dZjP8HbCa3jPNeZ3mwzSFJdt8JXdRY7UDqDbLVbxYAcljflbjNC17PelBzDPKnzkDg9rOkdxG/fv3jG8v7DJyy1vB+9fcv/RwnqDsSY2I9ih3fwPHTwtcXL0z/vdLTPooNq6TcxLAm7fbf7AzIj7dvk526DHa0WjNygt/jI05r+ozFHKaBDdYP+4owExbAx58Ad4kxKC5QSFyocFRkqmtRTgkkzzSUO4aMjYkQiXQ8BRCwJjf+H2idj6piJK5nvyjfn/sDCStTGsjgbDjCCrkTaNJvvhZzGu0s6F5khCispl/wJe5NK4iKhR2dpMJbtWRMQN5ZESPqFfdxHwKl5h3KkZwSPMyE9GCciwPHmXHuWj+phCoEHhV+lfCFaCZWSJQHsmKu8VQInF82eLTiZxVQkpbLNUvAXhZEtsCzlYn4GO/URhwr+C4oOmU+SOKSsSqcKFFvk6GP+ddPYaswyXbHsPuYcRaiNx1oUXJj6GMe0JPdJ1YmH4ZHfyzfMyc5k+bWl600huoZYfioPfcnEKgQLvCmgwsKLByTHHNhhFzeElAh1AmqU9c3MtqLFRnuWm8oeoGfxnGDKj1qzzS7lwIg9y83N0CJtU2+3RbLZzTGDsSq0RjBV3JQuloQ3C47GIYRtcNd9XH5B3//2wVvpSL4yX9mPZz+g0I9H70fv31+tViOu+dJH1X6MK+09iR0yxms40tnsrvYOr5k8pEfBdxceqqrZF/J3sCOi2Y+UBMNEthJoUJqLhjRNpSBhxXHB9AOJuheegxTp5UQsji8VVDjNJahwI5+PzKVUgcLshJUKSRGRj3AYI6kv8YkIS8CGoCApziLVG/8w7JBQMk70Q26/ZRBioorjbEVko3JmGj6SsgXRk9KrC9yl0BsiRK8mssuyhwwxSK8kUxJ9Rk1uU0a0K2PfcWlCFdSX1FQbOp3VbVpxHOSk5fySAS5T5lJKlDeKMizOiBkZzeGF+5jvjYG0/FhouiSX8TOABdpATpK5nJ+R665Kbiq/CDtsw3nwCYdGysm229l4FH2PxEzXwAYMHNK9teGwegAbcHSKQ5nLeyGDbYFiyoUAw2hOfIprj2DHwaFL0oRKz+V2Q64yTOPRZjdmgVHCthI9C4oHbBdQvrbJ/GJzk2Ffd3UDp8N4vZsFTgRLafQmGUDAClfbFXBkugHZas/wFfCi4I+PniUXlmex3aQoWiq8agajLb7McLuroUlbkvZYz3Iu/Lj3zOAfYgf2/YdfwY47yMF1fC5Ec0h9/Wm9Lg4OPMltsR/2GB06dbx+tNwQ6Hijoo6laIPuwMds9hpeyD/Az+MLrlSwQ6JiIjEM5NZaweVZO6T9xtmQJoM5si+oGs3VoTQS1hP33g9epMYgRmBQoG8KBuHOCUsVOvWyIonPLqkESekFFsssB8OclCXrMSzwsRkH/CCX/tVJ+jfOHmV4NwBrPiFArJfSn6zWhuyYG+ufhaYp4clfzYQLFXqDJQfW3oghpDzEJ52xdWLsQb9B/HAY0s4ba3TpXT4SHdixAUbOXpkSRCYtQA4K1KWteSWEB7bhRCciw23tXKaMb2LnUjCj0ihfZwtNp2WEFPJZtGuhiQgRHXkT4koIB7NJ6dsvOPWpnuQaRwIfc+7MQ88QZBBvIO0GSZDhv+5ZKKo0NjwRdBuP8aGh7mZja0VpVLrWho2q4YhR10FwBq6UzAeX3SjKGkzYN1h+sZrgRGZzIlKUKRoSC2ACJR/ukIMr3eW4+KxvUGtEq93MtwLyHY6VctjqE1MsZ75l3TG9AQka0e9hMGOrgucsYb2Cxq2mCgToNBLI8TizmayEebV1Z+6JZweB367bfQl2CGq8ff8WyQPQreOJMU/QCtgB00RUbTCI//JUP2qkhve7FDkEN2bmUMhY78Fj+orY8QN8xCQt1L5rnyrY4VPPBewQBEihj4V0h7squbqBXRjqAt0Hyc3i7Hb/jTUGxB1nMPIATSrzGAMqrDHOtFKh3JQlyLlIP0jFpkNxNkXlijE+TKyR7pIRSuKmNvpRi+KiH4KSIKsW4t2zXMqOLJct6CusdCRbD7UeBA0yU3NSGcXeeWs8KgyhieaC3uZTxi1B1TXGLtzcuP4spX85bw5utxjBB29kqBP4VJJZLDuoSv94KTbOVIqwB9K4J+zqAhBEXzI1LwjtsZQw5ayFxFG1mpU0o0cBUopQLEfo1GjwkrJByzssx2e0QsinNE3ObnaF5TVBTP9Sn4oUgD50mcOifggbuEzoMB62mnYzBBsgaADrtb76/4IZYbTsx8+fc/hwcA1TReIFhyf+YEw9/DK2clCZEI8uN6vYw7Yg5q0YsA5x8xqW7MGafQranHloeTJn8Vin4O3tCkA53YIk8ciL0oMKDdpUdC12XG12U9AkmyXUp+hsMM4RmiRAPw0PtNF6ByN4B2KPJ21IyPWDMR1++PD1guMtjGkO4hE2d4gZ69WnFf5djw4O7UACXb5Y8MJ7QpS+vlt6CIV2++7so+iRG8hYm79ms8w4lN0NjN27jXzFc6jVtvf2IifYVgyMCFz29tR4OSoQuZbLYhtDnOIQbOgpxV8yXDm/ODs3lAZNBgVUyGRMpFNhTSKxtFEqluZ7ULmQHIYhawyx/9oPXkiTEE84khnSmQ6vnBxIc3GRxV0ojW8Tb6wvfKL/xauZsUMJruArkVeLOzlOfNFDqzOo6EjxYW1hkDQ7UkoUaSwjU3lMm/HsTHzR6TdY4BQ3WyUfxef4cu/fca4RtBKrgJtpPHip6y2EE1mlfX0p94F9ek78QXfCeWxVjKT6KKslS4yxENNIdFCNt4xr8SPMFpwY8711pSG1yQheO/QQw7dUDKwX9Hzi9Wxlkw1zYPCUoN5woO8oLMxeGBD5iITwsYzTVuNzY343aDGQ1VLcV25ckdqA1kNSEffL9wAFVzcwsXcfUDR2ijBqxNUzwW31+XNxJGbotnSclr/AIKVAgAMmKUVAWncWh/kOMBCubxaB9BWpMyL6+dZqSwnIeruMfQ8DGMDjbIsZrU/sQIuyxSTWQp2SDdRYYHqzYy56zXmsa0PtUbkoP/BoL9luJ5FD6sMXUImS2aSgh5HzaM2FecZXhiwGVD68TVQ81oxYoBpefVp/Wi2ySDfa6V7cPNuYHLT8XscMWaTMeP2gBAF0/KPIMbuLHctPV/yatNAKQ014gEwBhFjLpMk16PHIPhm/CzFJOvS4e07qCppxWYJ1PWp1vG4U9ERyTuzAdd/oLSIKO8R+Qz6gfQhLCMQqcLnlrBmVNOKOApLzOBc644ITGHVTR3WBbgWXobuVChoX2dCldw0/5biIe70k5xfL437XP2ypwzRjyrute7r57rc7GqMET5gyrUFNS7NtLyQHwYORb2xYNPceZ+ik8ROEekOM2klvoMZAxBQkH7RHH2nUA8BlKlXCGHouU298vNw7pJ83lh5NBWIoEOFKz+QjaFj4iUsJpmTJMRqJkzOghO3TWDsX2qFKw6LKD67YcscFydtLGdiS6SiHGkNRVFzJd5iXZ6u5o9OoKh/2roMwrBm4l6Ucf/Iqm/PpCu5ozrtNNLJ66u4jg2AdCVVYq2VSBEh443rZDeMvtBuVsOHQnneVC9F+Ra6rkjzoSo/CUuO8yY38n2LHZdCDYHH/+x4uqBy/AXTsZpEbcdIKfwIUFfZ8t5nV7CkylBeQzFu2cKXxUjQc5Xa3XuGBrDtWnL9YczzIcae7LXLQPShZnOl2p9t5HKRYOcazqzUhiiES280qwfOyWXC2Owqy3XriPGG1hOeCMVLxh7uM6N25Cm0GWSXCR+zOZPaT1h34abDPs1hPobHmlV6xo2WAHtjR2w9ozcDuoZD0Ds/B/ZzVp6t7wDWKjUUq9B4hJBH3bJ9b9qPYwZPQp+Fa2wYrKUskZEO7beztWCfqhKn0BWSfgac7LCnTE3JhKPKEzcSp+AjSJowCMK02GnEHVlouKQzJystmJV8/eCn8KdBmKFbqcgW+FBxJOfD3Iy7FIeaNOQwpZ70c89qH8kJ16e303dhB+VNSrsyW2WSqaa/c0+L4VXKrJRJubp567KpMeP0nJ1pNJhodOZYzG+L0Cf9vUmJATpAsQQQEPHk4Spdhy6WkSZ7JSpwCBrHilQrUSXGIleklA2uJHdSdqaiUTchUTIXQFhWys8LCYyQ3TYxOjF+QPwS1Y5MFnQclka+aAer4ObKyBmdE8bU/MP41A1CXD3oQR0XZHLZg7cQNMenwca2d4DM4ouy+V+s14NFRfgK3Rk6XOSB4rxdgXML8Hri+3JunXNVFHAXGGAb7n2jjfeiFYD8K5EAipILGl6ixx47cF4OIPXGV1Wvu7y7YTIQBOojN9XSywZwlX+BEn0KhV1rF9RplV4hLLuSm4zU5kgRVxW5Vrdal48zXC98dwLcFjXG9QZEh05VoggEwcGY9GwaEhXxJ5nUJJdhAZGdDBEUIWTqJPTCptWNZj5o84hnyBDs+fbgj/2rYDfwDe9JoeHcDbn+sBTmIHaiMul3Bjs497AAzdKSsBi3BHuNMBTb2ZAdfjldftk5DJvRh1wb/t+3wC+x4TLMup94hUYZSV1lEyXkxwK8U1/UglhCDQqoCKR5wAcG4j7snMl7B/7JKnzbijqGMTC4acYdI1Y1RkJnhUviVF1pjsDEZnuKr1LI3d2nKEW7p0gUe+3dUkhGaaDLG+2OLpjtwe3S4bd/Hju6/wA62p2E+1RQmcfITb+H5Qn07xKdiqc5+BG64dXC80RAdnKvInknFzRJGSzH2ncmSMmNhnSCuQEVB70CCx/LjnVrjrCk2xD3sjLtvqv3QgGs8hRPagbD2kMksKwx8l83MhXVPVSshC9qUwDHXHwPYwQIEnkCIwsD2Yjlbjei/DRaaLAl0HxGdrpTUcx7jjxo08QtWU9WE1oHADpxnm/ypIJWWSSZSp7kugjc6TTccYfmr+HCv3pBQsBMJUnQaD/OTvg5ijk591hpnj6AGjs88dmko/py39mQMIR4No3BUUqEVF+PMD7NEJOlM+kqZE5MlfAB0SZw1wWEYgvqI4edWAi9VCzCL0RJmuiHyw6CCMz4dRiRDVR0qERsLV9wOkpR0jOYygBGctiGcYQ5OvCoD3xs8PmOSBdr4wx4dbsuPIe3Rxe54jxu3zxZsWa6l6mABsojat6anDXZQ0d97dWsn+Bhy3BuuLK4+PEK6yG2jt1CRHISRdze8vv3Muhsj7dldMjNlSHWftFWImoEPacEGJMXF66Ke6MwUtQjVFoVMS0TGUdMEjKBzgcgVnufiJQjSAyBADlSYjeJM9t4usRkntscEFX6xM1nVJ2icG4EIaQ7RBKEiERGaTG7EOwjQhOuUdMIojDCXvoMd/27fZZBUywY61BZsvhAnY3Ep1TS4tYZKQh3OKgPnaVmK1w9ghBPUUtPgqrHusDKAWooCilJwzZfl17n43Ri61NQfgh37nsWwII30dD5/N2ZAJTFDU6JYO+h8Bzcy7naCP6Q90LvkwBVoXxXkFivRrEHQOpEtGACASHIo78hYhkzHqYwRQyMTe5J9LtXQec6chkxqdy677cVld596YcYIHbylL75RvYHUwHDlvLPSBlo0i1gXU+FE7OCGV4MePmmN04bW+PKQ5eLzNV1DbrIQ+o7DvYTe3leRoDs9D7VSxFPdlmmR+fH4EQsLgZABhmHY2KhSb0gCJ9JJ/aCZv7laX+FjXui6eCyF+bfSJ91+IwaFzbAOlmjZkvl2jzYt8FKk90/8YT9/FZB4DxyP7++vyPLbhztFhxgQrPnOdhkO9GS+YzvoMOrlW7Dj6jk16/urqyScjQ4j6w5/9Rh8NAAGfS8lG7AcV715EmsxichZnvw5GQ+aeImLF408UtoG6qqKmAnKbIQ7tXkutKcusVwYg1KpPPCBOJH7y1YtKxXVjvFDrCqkUhEu9WyojmTH/VOijpT4mimXQ5+8zwo/PGh/96QFdeKUGSwqzFw0cyzTqyyFHqWblbhJ1KIWRe+go1gKLJZzjbJkPVIVsniPSmHC/ZNcOoqaI5pFPRHYkGVagx4f9xamSouKv4dkOp1fQg+Cdf6xos+omjPTuh7l5uuARZlS51FK5yJ1B+Xv6JdUxbaUPRv+OylymbOMVKieAd7wGSvMimQrH0NFG3MK+8n9z6riRNaBfb0zyLY3NS6Qtu6xNzNXaVF0TeV2OVw8R8HftQkcw/qTem8QOC5F7dcHuQbEOKQ2zBF4kTTZp2sNFGl4dXGKPX5HaS9EXgcHg9ZdLaQX0o3DMSd/aIoRy+gtBuK6PAgUKYXMhI1HAw62OLE65Gi4SStpor6C0d1UY5d4MQDgDjCoJmvs4JnTTX1FqHg5ie54Fn4BHgMfRuzJ1R4iOITlGNYQHB/uCNHvcB1ADQMdHyh+CY2De/8289K2vsCOV89jx+Jrc57R2+vy4EDLClvMPR6rPRQ7EKfrig1pqr2EKEMDXguSC2xw5whOOc1Ndr1UJP2WOJQa5JCWRH2/ApiKnRnq1DiUCgV6IQQHhi+XSp6eGW37pVQZwJJTVB5qhQxSJYroWDFMTtGYAM04hAAgyWCGoCKvPmKHc9C+o4Nt29++6EJJGMgIsfmSDZHprSBssdBgp5nYoYu+w7h2lMI54GSd1rz4yzmdZaMpwyYh/aB+Ex1FrfNaZk4heArdx0f6pX+8jVrYo4hJuD4TYw/Oa2EWVnBQw+ROGQGP2byMaceIIgL1BNb1Rgy1GnLMgiRLrvCSzxjVEnq9IeHBOU+uiXGY0caScr0AvLE8ArHLzsUzaTdPzl2yQnTWMSePmNEOg/snRsusoxjsMPnJ8qIbAFG86N4O/dVIGxXh0iRS0TY56KfB47yG1hq8ouRv3757Z17f795d3dxUB5Z7q6O+86u3/YB1kRp1QHEg73q6Ye/zpsgz2/hcmmfRIM8Ayge/MWVG3eLsQQS6dHzMldaOVYZt6rRBaIQcviefGbWOlcAeyAsGj9dx3ZbfdTBn0aJjmAE1gBxv39+rQ5qV+1uuQ7ADxQexgw5ANA9qE67vlAXgmb5ed0zNhPbqwzPWyoamvb4q8/ad6dlT2OFyqcgVGoOL8HhJihsYXTNOABn0F4SIq2joDICKbfWMu/FHc/Izf0xeBhF9OkQapjssktJijjNhR88vJrADI3k6VL0pWVPUHRciQ+WqPqiOWIKx49PIDQpeq5HpwhyGVJTwMuXhfI4/0f51KwEV9rfH3CFceW02ycSlQ0xBZQlfsQOSjxUbltVSCAyUG6glmLLU9A5VJdIOikhL7rtyFlLgLKYVD09/lg4QhM5lG3f+8U4qrXEx1bgFEYuJufGKog46hc0WFaLpqrGGdXNTV+qauhKeY6zy9GpOOakWJUMd2K7WU27dQiar7qUIvkLGOPFsUSO8l4kMBR8OCsR7fmBbrGhmspjzXEpvdijIo8GdfNs72CHzFtmTJXQMkNkI05761ujrqki8rklBcJwD1B0gV490hnL2JGpw/+Lt+N0eNgx4zLY3hYax7EsCT1sN399fE+Rvvd2X057j+FBKDr0TqwxUXo69x0PUJ4GBD110GoT6s4rdMTd7SIEAb8JIyhE/vE0KH/iSHMT3/UexAyRw13MOiOIxvUrf3t2Uvbv5dg87Polp2cqAb0Qhfkdj7u5ih/88dojQQBLRF4urF5gcyhf7Ejvaj2KHUNoxWQVUsgHDEQggSQRCEtltEJVrALXwnUOmNqLJoS2YqDFU6wV344gL+RB3XBb7Oey5yEalZ8HVFABgZGEi7mDu09kdTNGPGZNBTnMg7cArv5Ahr6zqM8Q2QUmSiRnqSX8PHfLS5fzF/uYUFlyLl2KKN2+SV/YLLARqcUlfcWqxWpgZRy1dCV39cvHzmiKZpW44S2LIRMjUUoRiqlEH3lSSzzSpP6L8aPSlhvZo9vIvRfExwZ+ajVEpDQkzqVXUgcEsv7BqTIkkmOpgQix3RHFTCv9C+EKcNhdmQW+MZKkWTQqsESU4HDWHLtdmGuSbxeLLOXiKKx3OdHc3stmzbAqmCti3/mM66hArGku227pKV+Of6I7aHDLzGAJQn2mG8irk2CUIjqRHeRw18Gp48+ZLzDCZaVmGyWqqFcxec8Y6gQY/kKkP2KE4lGg5POfl9A78gWwD021E6ZqQ9yBCABJsqUM8g4qBMRAL5f4u3pdKRfkQ7mu4wosAV/i2jZ0XoAlACsJ1urCHT0j+yR93oSuNhHn98NTxhUSfyo6VYscHpLWEGiRzFzsGMsO5xY5/HsGO5rh6kT+q/tIiq99qdCSPYkcIn3pfaYr8bCjTDfF5S3jdOj3l8iyimlT/iZFaQvBIMPztnKpPsVmUZRWB2cup7OKLYuzcOHeAJDnj3PeCgxdA0hnhgWkMF7TzSM00d8j7X4qVWA2MIKdyyu8KSm8Jhbo855SHrxeUR7iQM4IVHmN8DmFSIX2Ui2zcr2KHXmaRs+FKZZqwyCevsdKISCFEl8bQD9dznLroWFCXkNiAedSEI1BOYQUkqrGUHTynqRNj1YZBBqyD5it5L2dvMCGU1Br5VE0o1aCGhNEIc6VOxd1jRY9zFiWXVItOGEQ3Fba1EHK0UEshmQKLjwc+O9VsS+lqUCcqgqFUmqDHTPIqlXqjGA9jdNPVaMJWilx+NtIuBoNbvJWWJVD4uShHlvQ2qnEHXl/0/oF/R+DeaVsaqlRKEM1KbvU97iuYXmVF6ReuKo7Y/JqgIjo3PA4bRI03YxYactwpNd69JWjAFYj0a779nBJ/UOQ4+lsdKDOKb9blZNljUYFRiEafe3sVsVQFAIuBjKBld9oZ2MZkQJyNbZvxMvu6RYIV5D+ixT5ggYqsbw7eBnYgBffg7ZVyki/Djk+fVnsIZtKTGJ5yKLrHDqzmfRU7pl+FjgffwRWEpgi5EM7jceyAo05EDTk32NgLHMu4hTlL3F0V1VcTGSsqHlMORD2fLubEDjQoGa3TaROWi0b9kopSfOBc+5Ch7NIKL1LsFWOUpmuetXwWWcdtKhJpf9AvxRl7IdWh4lPWNB7jt4CqW9qCxIfxAwqHgsZi/S4CBr+KHe7t3r0HuclM+ND51AxTzCDWqNDhIMihCsML1sy9h79Ojc6j4uUaoiyevMtpo70oKPuQLReWADQMo7UreApqRKZ0Kx7KsJSDVKE5K4ml3Kw3nzcrKtYv+amFXgUQTfFFJ6Mh6Q18HRkYs0NCTyKiEvkClZinE0pyDl34DS8mw0zqjSoThCgQCscZMiezNBO7dfXgYj4m8UUZ83r5jEh9OE0iwDSXZ0XfMRQr4Tv8oSQGtkKBDqrDGJUxrG8pDnGhRdHBNqVtQwzQO8Yk5SFuaBc3Hj9oUFBovH3LbzlCCmIohn355DOxo0+rTdmGa7yNXZG8OrrKOtA1PmAFnEi0P3FAgLh35kqe20jhHAafewYU3VCABHVMpI4PKLdsytPt0G9MT7+dXGMUCvaHgR1Xn15addw9GLYATbovqi2Ve7eM+ztnWs/XHfLyeEG7cud7CDkMs1rRU9iBC/BxIuqBgnKvvttpuFUhTs/M1hpnIReUm/OyP+QyfCK7cRR30PkHi02Um0v/AQGoggouLDnz47ibcmk4Us5KqNc4kwlMSg+yS02GkzRK7WVkAY4MGsUdWXFZnBlWVUEF31p2NmYzBNUR2DicbjkrD4oYv/b7lHrbo+t3ROSgbhQ0B6FCBBgL06/MpnqOC6GBoQbzWVaSuTYWVamYkUrogcxCKNosmecyr+uxCsNwipOrlGaCxcZYSwdJllW9xpgemCw3ZqLxQo01ETFHVZrVFd2k40SYzaoqzqRFmtOHfayajxqowtaIGQ9oYSRgAdjBwgI7I8sJ1fE5f5Xi5QFRDuju2BCoRTyqkuDZndp8tYaeoxz5aASwSXZDYWboWvYDbZgf4tnHKQrHwNGtHzHB3tFio68+HY/VG8JrvH1Qa7zVSsOUGsKtMruoP1xT35HJ521L8AH/x/hD6U96kyICQaAg4kara7hNdz+OZiap3K35QVhoRIa18GTCQiLUlzJl4JvRjfqZsNH5kp59oZ2l3ZV8pyh7Cja+Bh1QbrX9hrlsPYkdjUjsy5blKZL0/f0Jz4db3D8Iw6fJUlxCjhkENKSSkz1Ur9kn6OC3PD6TmUlhNkx0IZ56mEzmrkpkYJbCXkIQCDxpqo5h7HNQWZBjLUytQez4WBvF2JCOxlKRXKh47FIMhJpV/YivsiSXaS5DbIU3EcVYH1k0kAFdsCQ6hcwd58JQtmhOjl+AHXql8bluP6Fj4FxDmjDQpJ2PpAzpYoi4gckKGpUbMrtYFACJYYGKgKCgArG6ybyHUIwciaCNTkwpYJ+ojmvMhkLozbFBI6EnyKBOOadBCVBQp8pVuwW2whhQQVXqpFQIGalCiywtBWnAHwZXyi6LqtOBYFSnV2NdX8lrGZRjVW4yzsw6fpFprzLkG4lZq53USfgsdtToj7CiDpk3XXWg71gPLe+2yekajlRGtVCWQ/qzR46rIYWEzITlmd89FpXol7ghfOjDUoOkBlpRYIYJPNbJmstluf7w+jMV5tr+BDzxXUoJyF5Bsy+IN8p9vDASITnBR3hOaOqJkHJaI09xRU9LUX4Q4c5kR3IaaYI+xwuqyW5CYxPhyYOx8SgPPE18MoXat2JHm9iBuXX04erbyw6OTvF8WMdms711Hzt6/qunPH9m/3ytYXnsG4AMfjWN0bf4Tw5arPA4ZtENHTp/Q7IpcgjdCZZhesmFzGEvTHY9NuAR8CQ0JvQWZ8KBktycXAqJWchWLUcsF7pTy/UTXpElEO6suNy3JDjrMfTNZGZ70WhEPn48M24exA7YzuK9USmgMjQZtgIq/RMQNCBQeWcIUocXGCEUKoRtvaDucLheDh6PYScL1UJgsMolMg5TppLfpFtlFaUZwnDWjIlcrOdUqOAE58pqozzPCl0mESQQmYUwmlyOE9AZF3IOY1dea5ShyLhqfvUZQUFO8YoNiIKEshvkeSru43F7hs2gfh18a/uvw74GaMSWifUM565odkYmlhafO6d9vXE8TinxKAzRkSmPyi2X+ayMOWSwnxy1FLg7HD/XZAHhOQgouZPCqtghWyuh1ZeOdr9WX2Vhf4D9FB6DA+eYBccD3MAz8yWvQdCIw4M7B9qdwUlDiYuHWDqs4Dmo2CGspY/4hymKjPH2ZoX9thjWXzEmyuPQlSwItdO4XY1HBaJe6ZbXYMcaD/S4sQNBux3B+Cd3VG7mWOpmOvAm23Xc8CaDfxcbJjs79kH49jHs+PQsduBjDKbFqIqiSFqif4EdvVfPmqLj+GoMzBfY8Wl1RXn600NaxNoHnKJOKtIZXVtCxZnnjPWCZCSmHGJGKooxkJjtfsuF5Pxc4mcLJSl0AJJpRvX5ue6/sYPnTluaynQXD+fU1ijGLocc5hQX+4UXgoe8h9c1aiDZ7TcKEizMaNoCoQbzWQ/KoyCX4Q7KmqFBG7TVFDTbXzcoAdsRl0tRoU9V+bXSfCROWTTOUPoVhr5B2VEVEgABqgKAUU9MJ7GXgk+oDJkqlIB4qKZEEpYSsjKMukLX4aQNwZELvEzlMUJ6DuUxS0GSXB5TTcXsR+uS5uuI3kykq0YuVouEtC7kMWh38G0ATkYpyQ9858yUTKTKkJhr/F+MTL2RiJ1Yxm92BU+g8Fkrn4QT6OlmRF8dON3wqh66t3SHYkeHYYZ3kQOJj8ByCwxIoMcD4BBq4161AS70DVh42eZsy+dtCzrIq5EuezJWgZjsGK68MADLuJQK13CSEQ6MfFYYe3DVNYW2HPtwYQ63EfIX1HYBQrhuizIDznADnSK54eCO9B4Lc6hSUFntRojnFiMP/siR+LWmm21FCyDBDlsCX/6Fcxo3KBqf9PfsDB5gx9VzyPH+PSHV6Z4Iz8Nds7vYASHeM4aDEqgwfSYx+yF0cLRzjZ3/A1iZPoEdmM/1XYxVUYJjAY6SnUPF8zZ0ptyeZXAsm4Ki0Ms+DkmK5GlNWyq2I6AF8VqJz2RIIhzp7Y49qIsM95TFFQLAhYIKm4wgl2mumB5rLi3+kjXcsws1D0tjcieX8sVpvSY2h3HgHB8n8omEpuH3BkyB7sTtvaBnYcOa1qu9lkOsgsVCRyPf6ITBj9aUlpO0GBXaAEzEv4NaDhLDtBvmKS62PLLTMpJOhRPaqcjEeUrX0IVjfW4k8nSgwoyfEMWCenKQBuG5KePWqlQVB0Sr5EYxqJHWZcTYqKlqSTiYZRc1FpGHTIn1MWhOlmJNVIuUlXWL1BaJ6VUIGRlRJFYGdaSPGuEz4FfnP5cqkiCCZpJrPstuV5jBg3uH75DMEY/rDA1ySGvbhZUF1lU6veBL3Ph4+aDWAK8RU2NOLvTw0D0+JmdP1XXPHE0njewtjH18+G1kx/3jE/HNp8nHjOe+jRVXnvsjfqMhTeEjlkiym+H4jhsGjZRYRF/uHa50tNmO3Ajb9LsZnIBg1BGxMgmIHAMmVlWIWoCfWIShLtK0OcWx/wV26AYbzrDovQLCveMJ6CADwbGMVGO2aGmAHbZgR6NSgr8JolnePFN2LBdfb1jui0qIHldZfOg1Xh4PdbLwEsFJLE7EYR+Jiodmjobm9ZgfmJC5oJxTsIN1sIxEqNwgB3KhRqQZQjPOdA6bKv15cdFIMoQAIc+Ra5PDdxhdfTK8KJRgvWjEHUAw+n8MJW7yDOebuK9zyiNaZrw+OeWB7kSyaploi8ExBwjUo8RBT/NznxWSAqWjbKIuYNz5MEFrS53Rcn1WkiRpLFyShuBmG0UUtV73dXmVkqwpLT0aBhMZ9NxbKyuRYtRcZ2H/wf5lNh3lptGgPmyuKi62GAQuwIIAzVjGr1Ss1trAaHNC/TvHOeOGKZWIBXwnLHMK+h6OReDKJNwp4KRkHByqijF1X0pqKM/BXRZwpikLjpoIyOW4Ao5nKEKi8MnMhLKCHlN03mA9QJR2HZZ98qLtGh0pwKPTdk6S+hY5vDatekQw+gVwYKB0DzfesUeRYgO6PtGkdvvHRjZMCqvHnLjbo3MISXZ4aI92nzNph45VBmqV9BaJNuvltnbderdO/XQyyy2nWoySep5zXoQusaDELR5Dlzsbxc3cTWa0aEsmljO7gVtQ6KCqGZE14W+4wKQlhoqVMS0bRrGM5uABSu/bM/bIdYh2zmljVFQi6o21x6c9TfpIv3Kl2CHy9Ux24w05/cBQg0KMo6bwuF+AyCtm+Sjb8RTXsl7Jzj9T0ofyZR8DSqAX5pyBrLvJiqoTmkIRQ7dWFOfGo5g5tLTokRnsmTKooukQb2JiBzBFxeeMhrs0cQuXbEECzGEpJT1TuemlKD5k4BsLmFwoRyL3r8FeBBzcNm3LWCseEy0Z2RFlvBjyyJSHniL0EeH0B9V/mp7KBQpxY326Fj3iJS25Q1bEDZMmTV6qjelC1JgreVf8BXHpLwvpQuZsYWodhSjtORU2g5VAadKcpG5AINyI0ouc8dVmTKP0xow7rTVNTQuxGatGsgQ7lsELWheaimKcgvJnIiMYaUr4bdVFqcMWwSKKRSgyIyVLahR9FHkUVEczYWWpHFWcIA9KhpR/RuxaUloeo97gwAc/AxhtMh7YA+YvDnoxWR3zHmqpq4lwBVBRInz15ibnlT7q+GaHRQJV6Pt3GBZ6uaqHovftqFdPenYXNj7e5zYENkLxnOmoH4vdv3fI595LG12X9b6ELERWwRntXW1YsoHDcXazGm+XTHxb2W5+A1NA2IIt5zfbAsaDEjkJ/7NovqW52HoBxahEz8gYFxZjyzBab8brTWxP4UtqOaOtBHNPQ1oLsme5uYbrB5obfKabaSyQ9S3FB6VzImXssvTAL+bq0xOQcb9ZIXIwXaH9ld0tmP+8eQw73j0xY3mapV0Z7CB4ZOrn8dDWCSxSxxeaU+TmUFuhjwJwdCKUj5SFY8mEvYPGTPe5zIwzGvsFpynbEzmpgSupnFaSqiLshao+LkybkyRq6sPawtj7SCwtlWHS2rBSKYQ25bVWQEWHshy8jIVrZdkDBrzXGcQ0E6HyDH+BjjmFU/axjQoplhQXnjkRvOhEwYeXdvcxNz0vWa4brz7JncWhS7P0CeN7AihzairIHdAwdCLkI3XhEqswkWaBAi2pHGSZZCS7rTKT5RBG4uEKM5md1dNmykq+Yy6UiHqJsmGpKp3JAn7qsSDHqJKqSM1+cNTiz6Hh2PyUend0PyBsKDuhmgSQKr2KyWTJ9C3Ov1CbcR+O4xgK0VX+AewAucooBvyceewTPh5wpkmte36yR3uzm+OHi8mnGx26zD+8tpPIFfL6ir4vXnhI6LhfcXxRbigjCtQI71iF2can7j6C7N8HerjEjhi/jjl6Fpm5NL9gZDQtUC/MMzQWoDvqBjvgCLRdz7IUdj/lGKhR+bAvxc+EHqd0zfBFjMfAhCbx9TpdwRJ5ebP0YMWB7JUSxUZF/qTBDoTnToscn7Vwbe8lntH36o6WYAfcm2Ubf/RB0aFBiMehQwYsTIRzvoodTeFxn/mQNZarD88XHQ9E8LpG02CH/Qh2tP1D/P4NdkgIyiGU3ew7fZ/cpxYQBVda+TJJykLKARmIsCzgB9mVDC+K2xAnI+5gdtyQJ5x+lkuDE8akA918cpoJS3qRMX6Wm/9AjgsyJEHS+H/kl0ZGxjksBildmfKIxIxrvekJWLRj7OTb6GIyQ5IEtqx0iq/RYxssg2QuROlE81xlgXYlb1Beyh5GAuHmSnuM5Xo+ptoLtUatC27CPnAaIptz4FNV64nZCD8rqhJpSijYUjDRnTjJxmKLwQlwaR6D2S6/ZDVSlY3OXIgKMqgZGz26Cl0FIobydVijANJEhYZvTBnR+FbHAcXsUKYpEcLkBI7K8bRSXRjkHyIUQ1lfCU7hEwFqokd28UeScrtaiX8HrsJb8KVYkvXN3v0h42MPQsORFtxK6JP/uAccTcGh6KHqUHYp0EL66n6lwMFG3kRLCmPfOrRbewBRKVQL4ZMIaMKFv5mz7IfJYDKrXQUnwTSnNWmDHXAjjj2nEuuAaHGzonEp35xNc1CouivLmW0B48DhzdKf7UYxQ+KciTwkXmxWzKlssAO3ZpCN1JMs+lbClK2dFGtEVmEG4rfcFNzrOvZQ8unDHSKVy7Zi6PW1uuOQzmFvvqw7pF95MJ/9cH+48sgCjcKHYkf7UeyASJ8zedYccSKq8ghkUEADqNP8zCzEUsSFUX2ApEhVdkn9oObGhVldk2CFM8o3xBBZXNDTIJBcamKQ0KfQXl+w2+DshfJ06XBkJ6YmdyJT2AsGY5+eSh4UpWWXAipDnfIcg5w5phuAgAr+CXDp89DzQs3mn0IxRsPhPOlxN/tR/0zVFUfjaqGGpEtj1NfkFEg2y1x22AVKsI6KQh+9WlEzaJLjlKFunHHLnmJzAEK5H7qIoTrV6UNRjYPBRG/MtRfsTAq7OhPB2EiXY8eqA6lrKTCUGs1r9kusa/AOznr9OgAItBrieKwGpTNhZCv6iBSZYUTVGr3ggEVYUhjM4t+U2yyltEt5VaiHTcG6AyKdHNiBMgYVy5BTniSKHkxc4hH5pCShVCqnPd9qmYLvULYDp8NReIQLqLzk6vjE6Qc07sF2233c+MfIysuxcKKq9PID/9hYkt4WGZ0vjsYMrq1EXBtMesaC+kvscDBWQTFRDGabUUUrY2bAjRj1RvPRcLFdUxsD5w94EtM3fZxxq48CDl1RgN3orhyD86h2k5xeYNYcjcq4GoN+jVGCNNgx3txslnUVR5S1e9/Gl9qy/drVjBoBjxC8x23jcluB3DneJ8BmciRgib/y6YlJr8Ti+M0+dFar6+nVrdPPhw/P9ivqjSoHV/BWSrPYZAIejGjp5EPTUJWbM+otQG3o+rHMYc8uJPae1hzYqj2Oh2fqZN4QFBdMgSS7Ke7n4gPE4YryoRyZcA473DsP4mZuxmCHgnVErhv4F1KpqO2xWhwPyZ+em2lumkqNoYlREJIGpF45IUYOnfS7Dmd4rZ7b4XYKvNTHedTyjQtep/WA7+ClFbPL0dTIwKaaO6v5sxR3zHTmoqp0YSYhxSpUz1XJ/ohABzuRSnZJCCwLsThurAG5o6bVhvwR0pOcSD0x9cawECnZZCJgJ0J0QQmZu8gXGrEgYFQDR8VkRlUuhu9rQq4lV2HZJM9U5kUL2TjZBzrxNvEFKNgYkY0FS5SWRSzlSV5JGUL2YzTMtF7JGSWeP6jBq1oUEgxcI59YinuW0VnyGYZBnVNq0RGc4GQgzdGUHKbeuNOmRB16fXG8GATYszw5Oel/gR2tL7CjJbhxuBd7kAQ5jeNy9wV2eIh5m6y2iVdtp4vNnAr6LQjPwRwmfYPQpk0geIqbzSYJp2sQGZsNQuEkQ8GWVCIbNqUz1BwQzy4niHwDAUIV7Q0qnHV2p+6IJxtGzyJcE1Fg3jf1LJYIyVE+iXSfyOGgvn87M6jxQPLxXinSUILzEMf8tQzg9oAkE/Op39wGVk8N2XEXO77YpPn0CHSYwgMSj6xpWR5gBxqWPq/rQl1GEdOasPgex6S50C0wGuGULQntjaPAPcYsBYugPHUxfWGTAbcf2VDLi2Zccm5YT53Dnpzpjr1Ax7nKUC/5OWNWGGxlJrUCDsnPVJIl6fJxeWEMyWpZ3uWJVIgzgFqM8N6y3NJXSzS6H7dayMkWoyLf9RsDzYd1ByMafBc5lbDBWMqQZaFm6OLspdY567UUHuLmwUpkNVFNli6T8OSmqLSSDTeyHMCBWrbh8qbBaGxLGQZJVrSu1CFZpaq0DapknisMxJDNDzfwJpXhRNDt1ORLZARcalnDjokCdJn/mDtN4cGREDVudRw59+5jEaaTUyFSVSIQixNiB70NEBOHH0GY4CKLDT+Cp7YoHvAd4xpZSBDTYY47wCmUsZALurTC0FRIuFIWq2udrpzgtDh61fQq55dNvUHcSNimeLB6GDjqFaObtMF9ZkNfn20xZRGUMf3M4R495CEnfUxhM3EPau8X4CG/ANfhjOBxTE9iW7CDcbP4Zh2wp2wJUf35LkSoE/iibyZ+kyoiGomSD8zAbWzWu2nAbmfFpxktog8itsEO4A38U3bMdLJlJ/cbl+H4vPFl2VbbNK+TvZu8m07e3V9x2dNCsDA94CzgxOUg/Gvg0WLh8ebdeM93TA143HMYfEST9gV0NEZlsAwhdihT+hh2nFC8Mco1fy2Wdlp31nhK12Y0GvOyh+2TUx2U0CUQ3XTeKMbErJguGyaHwRgIiYmxzkkuxNv3QtkQEXcML5VgBXZQ9qFTGVAdMWEpv81h4BiWXRGRajhkduOZuoMINAl2HJhXmS71oYlye1p3dB5gB2f6Aw0QiFl60OJnqfH2LD/MAi2n2+pHT73pYo6cE+PZNWf22rQ0KFGRzpBB6SiXymTEtbSKjIdJf+TQhSqupUxz8dpFvUESljUKGRHNYxiX4jQGLGpGsTUKoMVUTYVysfcpTWZDIe6DAl3ctb8tN4aqG2X6GzVh+F4pb0cXmpS5bMgBQ5I8l5nuVHocmgEJ5IiTaZ5Qfv6l98+UqbplhW7GB1eahy2MJ1B6W4rNFiLpZbxC+Xh0q+RQavQfI97AGobsVcGaVJAem/GgqI7vw4YKL7+oQ/puj1XwvrMRReUgaoPSyNy73taOO0KRMB9wJoJK4S52YC7rTiQgzsIvwAePDU4YmQsrDO3oXyICUttN4ZWukU87PDCSLFu8WKBKcI02jNhRzyax5YJ6nUf/Lh6vJbYFUMOLRhbZERoL+GY6u/oSO2Bd8gr7hR04kOMVffRV7DjmKOfo1eQdsGO2F3aQ8rj68OHLrMrHexZOZTlkEez4ZOoOU3Y8wA6cfiMuq4kzOiOFeVkvhJ3MzlRvoeCBkoRkJECA1cOZLt0XF2aUcnpCUceEwjBypAIFaiV2Cj3p5HIPKsK/Xuoc9qIQf1IKUZu82oQSDvKuuQbEs8DIZS0CFmYogti+AMNS2apNCXcGO/D78Fv9mMqTmobMfcmOaNmPSMMcuWKIiS04CFISzFNrsqtnav0jLseSVb0A54FzfyayC0rFxqIlZyU0ruciD6PUHE9GxRU1/KHvrfprVDJ6lRpF5ailrOXOp+Lbw3KKatVqaphSAIsGy4EwxUSXXwtYgT69nKnUlAs1hcxtAECV7MKZcx+ZroXu3cONtETmPe4rrmFcfytFKJblGPlqvUHIwBxXehUj/0B3AwLkgb93Lv7uqwXPFPp39HqR1Y26jmAHTG5PRBBWR5As9I72zcq+VXmHKyeqhYHdZIQZe1L+zWLCu601pM5om9Tq/UFy4A529A8j4Qnegu9w7vniw11ku0HAI8JmdyssnTTYwciVIIR9wDJLSwxJ7CkaEEDt5mbu5djOiVUuCLUseBDMbZ3Zjolw1JhuFnkC3cg0uDNngas6OJuCKU++7X9rtqkycIO+JGTyf0KHiVFhyPQjeZCvXomzQafVawwGnyRZoL3BhAu/zKM3E7PIYo6rxhLsEei4ZzW0ult28IZFgqzax1LoBDuCoiR2UNyBE85FMSExs4xxu0A200i9BE+wYVKUavSjw5TLQgwA+aKnUakkPMluytnQeHigq4lO0ZzUQIE8FYYToi8WGQIqqhST5Xtuu8i6LfuQ5GJ0dpGrM+H5mS7Pii1ASpgCgYuvJiu5+Ylsd4NFkhYanDxMyyBtvyg0m+prkVYQiVH+MJVlOAmRF65TvMa5Ky9xC7OF6E0XnMSoMymJhpm4hEkWnBiHkQ+hvoPQQGtAaCggD51KJVFwUIOtuQXUW5zlFqXIxiR3RWzOSxGasoIruSFLh0HJcKLwnO4fpdgdj0ZKhehSnMQ7MPSJWjBj5pNLGicNgMawOMlAiQptGiWyVMMJD1GOm6mcvovmA0QJhuJar3B86z/0RgrRaHuYwQyoDRvDz8HCOmIXi+0dnJR9SUqlEx4o0vMvgGP8NokP22bX1lbW4rARLpvj0Bw6WYFq+3ZthTN2t3OofhVOgx2yhB+93cLrGBh0Zy7EgoE+w0iPrenrg/N77Fir3ZI+HB4iaYWoSPyUQS4UeOTQn1IDRlMP3D+CoL3C4AVzmCVjWcL6RqQcq8RJb1h3zKkNyzAdRoGyY2ljWeG3I8etvSv4w1vkuI1//CKU6Y2BD5+GbM9CBy1MUZd1wDm95gjxDgRdNRzH+6/ZlJmSQ7BDHN/gmd7WeK7HsEOW2Nn4wkuwdxykpQxY0+AUwjB8gOIO/C6jU1FxkPWEX6CoSc8SdJ8Ry2MmTxtQqT/qVLWxA0qNuIOKDGJHofuwpxJdrXPY8wuyJkArtByocsRU6FJDoNQyHTssRA9JjGraG36WBPUFDFzw8oLl2qBPryoExmB0q8F2z2OHrFOHbR/dL+YpYjgIy1LTudDpnANbtDOctVAAyq2XaWWwY0lFunATUm/MJQuBbciQLAiQhKe45lmPRB6GxyzoWqiLbchhWCzEE6hkAVKK/xfPbZGYQRvCTluSbLnbUkl0Ax5DwfxMfDz4dVjKECeSSDIAUpGaM6+u0nlKLCalkNHlFfNkJMtlpC0Onaq1XuETb8QeDIB6UHf4SGexQA7hEmvn6AaW8wyn90mXbDR49ri+hqlgHB30Ts++QA52KjJXhNaGw9eWoIaWHHewo9MgRzOZbVgOHxY9Ldvc69ZInUqB6WLNLOtDEVo2vrMD7P4wQQFC+5z1QDadDW2rmlU6PMrn0GtI+kJWLxHhNkVSdT7bFh5Y4AE9kP18grGtjcdNSyFAgnyGi0cFkIhn82LgQ82HoPtswkvKjINa+9uaFtNFC9Hhinju1et7yPHkOgpbl8P+ifMVxyHJ48TTi2KGq8nTe9jxQsOQu9gh72cHokl/DDvocJyJhx09BnsYuMcUgCkJekkTK6lIYOwBikk9wogOchILFYIxTcYB7d65h/VIQV8fTYo0mdYXtAOiM6+mLUj8rNKrOfgNvoQv6PJDBENzcjkxhmQsaTislI7q1OS7CBcj5Cl0JzIpRNXRw0+CqQ67rVF+snftfsYFyDFGll5cTNX4hxTnTKOrZ43ZuKzoi5vYnGbIy1r9u2S4yrxZcSKdmXUU8SCslguNWBDvYcCB+AfxDlVdGr0GH0PWc6yPGY3xcpRKgg9ByTLR0oJMcalWHYXusExqw7ywKEFhM5lPclN2VMLDCNeRS6BCMU7VpRTSNAp/E2k8jWBsbBQhsmArM93RpMoenAxjuhIs15UFB3IENd7cfC4s7qqwgsYTLtNZyJZPtOhokAMUB0axON/1zEd+B1hSnDqsK+R30kQGHYa0/ZBUqM4hSVHopu6K0Ae6W9XABqrV09P44nqD/iTvOoF9txf1admBtFm4C1pc0YlAdCCTlqo2l25imDVHjqjvI6jwESoZWskqcweuGRshlJj2YAM6HPvMY7D4CIuWabIYh00uehvCv4G3Wm5gfVvLsscOBywOkeNuzfHPs8frV0e99gBPnOM8s/k/oFYPBvQyq70XDPdEyfEQOfbSDvFWpio+O2gb7HjIldLdL2mSIpHG1WM9cDkp9KIvPnpMNQBZE9PE+Fxt0VWYJV5AKEnOdA57WTcZs9SAnQio5Gf7+NnazGFTehyLjNR4jEH0MTTWZFy7FfUYvggnteQ/Eo6OY+FL4X8I4ILiA198KLPjJOrayDnG8n2fM2YJmiuGL8IOkRPasL92MdydGqNjs96ikg9Rj3G3ZaHuYsqCmMxIbrrAXwMnM4ewpWq/WHGQs5iIxzHrDRAa6lJImdxYqA0qVTnOJQki2zFj+Uy16NGJRtV8oVt46ofKaFlBE+mQdF5jZrkTGQFz5kswK3WcAi0Y/8nGbKoo4IAzum7dG4G6cKNiPih4gn24PGO9VDyMMytqeo5NxkwxIWkwqRJucmL7KsQvf6jQgY62gQ6dDiSyDEtJuWIHJaGKHUaO2jXqPetQQaMlpj7IQmbgH64EHWg/+reIATNdXEPM5enjR1wUN5tLdrL+nis1AKDqNsf8a+/dTJkyrSSX68LAQ9Om42oVG+AxaStip2grJkjKiofp9IDq84AvF18c5yBM8eipjjPZ+daehROWQeuLk/v182WHti5Rh+m47jOAJcMbu+2o++ORsLBv9nXH+xe4hSjbsVKLVCLHe9BVEoH0CHZYwnaLv3nCoMi45/uncurK3jsF5bQJg2rI73G99UL8AfU0PxsKR4LuF2UK9eMyFWlMkTkFiSR+Fif8RKewMnKJOUqRPdkmiAGDl1wsO3KNtFZLQhV3RLQLobIq1bkxvwY25C5T8reSbRFx7arjHvPdQk0+Ysapfy3bGtWfTVEQbb/tEGcQd1vMdotoPua6ZTuXqBZIPuYTXXSZU8KtTh3MVhKtZy5MKbXlpCPAdhSlmeaqX7HUDvQiJnaAYS0bfahMXLifD+kXy5OS4QcjtUJXex+Vj6FM0TmNpLPUUxkPazECPnuoWvdC2hcZnshGjDAlqCcxXcmNVN2IyKRrkfFsCv2Z7O2Niyx6qCvVAJOw5BIZ9mhHUa8F6sFryeZsTLKjRJeZ3kOO+KBZxu7fpsuCbrNFPsob5D/5l4sqx8dKaJmW5BYwiBgMbLlNpTC6kY9IkL3k6DK45Urh6MPtFM8OxdocsQgOTvnIG/jmdLONP7rdRHV75SQbWMbF2BVHZEKMy+Vbkcn5wqI6fpPdJO+EJkxPvFy/SRzWlecB5/eDuuBFtcdRT0OyB09CE/shG18FpZvwq4eHRwpLHAC/f5HTkGAH/lZF/NXowIxZHsEO+dUpO4VTVLwEk9Q0Bqr6IKFBxuE0OCYBonNYdC8xbx5mkWu7QaKuHGcq7rhUsx5iB+oDBk7uBRwsWUQw0mRaq2CsUDNBfguFalmNqxB8AULJjck4lDAZDJf8YHZiFuAoee35Ad/Wb1kyTkVW+hx2mBVqW6WBSP1y1Q9oqfstUnVoUsvcDG3XYu9B8oPug5qoICn3MkChbRgfQTJSzuSKfiDoV3J5b0yrnqnpODglpVUPx6z0ABMjDzyXOdbuUOoYTiSn9Kucmu38USWGxyMNtZ4uNYIOsi+QIyItJV9hBq85buHwFxSHcfkZGsN0GacMm7cKSkvHqKw43MFCy2MySTz13CDinCVELlwOlQFy+YAdEbYDRro2K1THx0ZwjhQAIISYb7QHx7dZGJJH1DdrK3oQPTSOcI8XDWToEkODFgIY/zPvfVTsKKh6uL8JHzaVhh04t/a0tih66PMBBoV4QjcwyWJgE4Jv1b7zWQKrSVQQM+wmsgFTXT7Sd00yi5QkwTdOaWX4B9qnp0xHU3H888LjTezfVlSPa96pAO3aKooEFej0W0evWH487Y/6SOWxxw5M0N4/ix2dlktPgJO+cSIlmbB3KJUZi4BKyur2zIS6gfaENBSvKfFMx/ZCKqCiWy7pmWyyECOwPLdfsNctWZYGQ571JoehiWhQI1J0T+JGKO2PFqjQyJMDTXR/XyTsH1HH1CJI62MBjpv6ODtlQQ5VbZ3LrHmAn6vTejR/936GgPhbauh7hKxlE0w7N9mM7GFMFcI1uYWsFRFK+LYux7F2oE2Q8erRsQg5EeAGOVBVjY5h7zNdYM1WmxKcsMqLiikHNaji8oPPVFfGMKTguuyUG3SETYa1cENvuk+1RlnDKc5QPBGA5IjDkn4kI07VYhiSSsSNsiEjI1qPh2rjgcKjpGKNy7uEjizae0Df5zvEQH49hTm6P9zcFNihxVzV6QA7tGOJA6k6mppDRqie11WGgxlEzWxWmpK+beYqzRZL/xY52Jiobvnj3eN/d98x3g7DC3Cl3bZ3m2Xtk/EMaBPmhaEmqoSRL64/Woa4t+ZPjY0LWWBjsc4LOk196HTqs8YKtK3xLHUYs80fuCi7Lu/lugPnqfy3J7FDiv92+zax/sHO6zPHcvoqwsn6NN9B1zxk+3bFCUh7wH5fmpfw6vrDy4zKVEu6Nw65AnYchupr0W0/4inAgbMcFHecaUACT+uCKylqUCprZmdGz8mz+kxAJWOjnIgXkDE7x5rcqa6fADuQ1SIuG0p7EjwKM4fluFWiE87NpxwOZeHajukqRJE3yBEWKxdZpC8txtbmyq5eFuyB+FmYgcnFERGHcB9EVvPoWCXQ+yx4UA4EhY55YZhuN055khtNuth6zM2yHCWnaGNW67nQqKBAZmZgi/kJtFaiBKM+tGLggjgBwvyjlPBYSsxRB7A3GKtZUSUmX5q7ooSGGIOMKRsh7ozMPm5pdCGMWtBpjvEc5Goe/c8loDrTACfMWYZD4BBVJLl4BMfCmso4pShut+UEVbBVi45LxkPiey8BJQ/LYcpS0TJK4kC+uylIVDghdjIOD0Jcl67LKEhFfU7oyMJeq3uo7KaMWY0WTGy91XS0o2uz3buQIZhxcR8xPn6BGOfi7gSmNJAHDbfbFJ3R3UwNVzwFtQdRYgD+ox4YCc+WhARHOhpP/wAKwV+4gRF3NKNP+058hC1epyxmnJATatuRdBa97PiazvBt4rCTLgReYJh7r15ebHzJmLaibkBd+2MzxNadlGBl+8zyTFw/UXg8tvUvbIfBjg/D6KD9VLbTfl+MkIhvLDF5K2Q1ETMtxQPORJCJRI5z0hA1ewl2M/2TUCKtTag105mgyyIbgsdTQQ7qNdZKZQhDDoDKpWzC5SJDLcwsRZd1cdqBFvUO/VgzHZQKwWfCBZGo4mJCnMuDNRpb/T/gkYiiSLCOvgDYtuGqPga30aExhLC/NdyacjGMY1dNPtxcMWQprQurD2VUVzQynsnWitoh85yliosEKuVi0ncASriuW2s8AtXpUwGEUjiNcmQ0pfRFJRSMOYfKRbqB4awpPxitgrUT3olxkPxydB0bS2UhCWMpij+qb/BBfAlERWY0nKZJqUBGvCc6VDom8n5u4pLzLViPRI+cAq4MKuDKg7MkCHl5jqjvqFB/MkehHxwciGNHfEToePfPPxzKHhAw0K4ccqqq3h7GhqOxKz6WRty9hQyT3/0EZFwQMuIGMJquBpMk+pUO7DsxgL4mt1k6/BATY1+JCTYoWntQSS+1ldCfnFloyiTSmYS/sKSiYH9jWhVaFTqawNDQIuxwQLb61r84+pCC9YCapuz4VvyYzcYAj4FuFH9Vu2Syc/i3B2f2x8Dj0xPY0ZQdcCOE17HfM1/uwRfcW6t0iB1+rMpQvOCG3HaVwuMkavVkZCKEw6hoHEoBaiErFbUjVL35RNShKScMI45hjRgDnYas0UuPcjbExDUVxRiwA/5VCUl0cip2KzoVNh1rePmZeA0Kn4GZVk+8Qy4uk8RYF54xEaI/sBHWIXAnqzBnnAtHXBMQ7LD7/W/FDpBhcSFaDqrETNExWzYbL9K5QGWx0qXb+ZJ2G2Q9oW9nGyK+6HQxxe2ybS/GhRV+jEyXVmiLWkq+C5AF71B8KrZCbFqEWJV6pBQRqWzOT0VeMjaaeGFjuLHIcoNQQE9SOiFzd7/UxThacqT7tVrRjZINgbaDg3FxJivn5GtpGCbxh4+FO8HtaTXPoZEKAahotT2bTsDX23V+hHl4/yChYccwOBPoeH/1DhTpwX6/CDaibVVAWSqFElJ9P2iV9rdhPx9DjLN9jXF8X6OOpcd8zbW2XdZp3dE6qDEx/4p8SjbE2diPvKgxB2O4huO7+8x6xK14tpmo6EKslCrSxAidMTAlaUhJrT0YuP/CovQL7HDp/mN3/jV2vGPhEbovxQ6ZheMMHyBA+/2nBxWHYMez5sofRsSOzlexQ+CjE9EAXRAjOjMewjR3gdK10Jph2OTSpuJL7scJb8SpfFHXalHKk/1ExR0YvTS+xxMWB+wqzkTD3mRm8x40FiLzCp4WZoJUhkKMzkEtMCGROSzY0N6pPiKVHVt1KEVgLjhRHdpcpJzeyFove5Z9mMe3YgfPpIg2OZCIzU2y9VQ2XhQ72M9wOU6SgVfMZjDzDtqHguZk1IEwpWRWqfFoMhXGulQrvIbIOmgBRKZUJGZceEUjM11OpKCgxFQinNT2Qz4BM58mIkmtVKORDXUlBTtvY5YQnAgbUoOWg2aZ1kjV8RYgS7xDZJtG6o3QGzwlU0SljqDexNJ9r6zg2YQZ7Y7CCtjCHtrRBbXo0rCQ63iXhfASHRi/StAdbk+FGuy3fXAkpkdBcUjUmD9WZhAzYlNlaKWho/YWfDbMS7SL9QR+Gzvus9zTWEYS0CIFATU7vuMaP96AdsfG1jhQYY89CAz94QrnYYcSDOfb+BRkPhCVJ2CCh6kTNMoWsUYPQylNgvDfbLJYXTxxUDEevfpXHQuwY/4u77W08HgZdmiMi+8dhEjQ/vRY3fHhOeh4i/1Fp/VC7GgFEHlCxCXeXSK3YOp83x20IPY8o2LsNtMavAIuAtATXqTGkFQzrdPgNtN62PiEkT05407baczQ22FxqUNd2arFye4x9IXbdqdqX3rBq7fxBWDpAdkJvogEYJ/ptzXUbw3Vs8yFLoeZeoKeMcJFomklWPmb6w6PoqBBrJnQ+6GLYT+W0JOycVmvte6Y0KuQ0SuyN4/de3YtYmM8kZQGro6IETqFYOLBobYek1Int+paqLp2Wa2dKwPL1RY9yWX7TYa5srXLOVg+llWUmFwTM1kg/dLqgkCh+nQMXoci3hA1WEJtKUqTUlf4JbEuCp2GIoDExX1UM4Csk0hPHnsU49I8vNlM374twv5xJ+wrUXrajGY5Dwt6jdet7fYMbvCflrQvDWw80pmcDbUzudOaCFvCzzUYDBxhTWQyAxU8JAEgmbhHC73qLS+zkC0kPH1QcoXFYpqCwHHM2MRm8ixmLJo7bZxGQ88LtQe59zMvpomkSCpjonFRovQYBHtJ4b+sQMgOOL29u9e3Qgdq1uVbWJ5a34odLQ693n96lOy4es7rkDYHqA86Bjqeww6od44h7qg/VjTVOYmNMXkWI4YhaFJnVZbBxiThyhkfcNYoxggdZtyKl0qmdkAiYSfcmA8wKNLIzTVb4SLFJtWBhwsoJWImuIGdjqBQpF6Cp/Rsp9odqnNdt81kjYu6Vs5eyNCICJUKes8ik2//K+wQ7Z6DjA648Cw0I27ZxD0t1VudcjFmX+v67VIkoWOJnYcvMQ2RJ9WoUYI2GW+1zF/Eb50FBw3X1W+9YJRLRVcO7svLzIW2gqpeBWtKYKEwhB8Wk1FwopRxkOAQO9UKf5p9NjEa1LDZfQkiS3Zi0V7TOoC3R75z3+fbdh7uDMJfT8oOXHr4pu8Nst32reSl4K+ohgV/QTWpQEfG2DcYE3PHpA27L+zn+6K78TTgD63o5SNlBiixu5CB+KfjvaUHv4yuzd09+uI02C8wZ3HulpUj1kQsR9YVSolKVltMrr0nSdfKc5IUsX1/P+h0IBPVHxY32mBIqh0W4Xw74h0HZEVs7YegFoGIEDUJku8H3r/CDnACkIz3/lXZMZOlbmJHCH1p13o5dgjVCalsdd8g5NOnr9qkvn8bc5fFOAY8hx0DYod1osH0ZCilRY2EicAoBW5dXIcVGhO/cobRM42eq2v04JAhy4Vs1XLywgcHGWcouVr48COKHZjmnF3IuhwcTyVj8mIYklwLdUKno5QLiWtIT5oV3lzzKtXvdB+MC61UHJ3Gaj0m3ybi5MjIWT5oNDV4+8ZfcGir8De0HapNRWNnZi5L2ZGTiS0242R2Ka6FFKQiVFpyq7lJS8Iik1gG0K6qQuViLTf2Z7WamFIOInFMLAYEOwg3nMUWjNaeSggD7ckqCVgY0985zbMmIoEkKBfosNmMGQgZUVSBSm+UlGOI0hyCPpqGjdj7jCuaACDYGm2h7+4zWIEZIV3QH+3dQqsoGy7AmQBGAuzgF3jtSkhkymsWoeNSoeMAS+VUWmPpFRqwZiT7RbVhuA1OTQAa94qME/eOEv02TYgL+3Lcw47gEewAaqDyWMKXdByG4xlSdEMDEDZ+pwNhLoggGsvkwavU82T+CgF71AztfX80R6MWKenKjzJ5EsyHO2h2sE1x+i+x48T+d0MWwQ4c72JMll6KHfoUYvXId8F4jO6Ykj2PG+Z+Q6kgsaXyNezgSwQlIZGAL/U0DLveSSBz20wk4WJMLhIKtTiXvc1Y57BKewrdIPsnFKv3uWSv8bMmDzInR4rPGKV7jzFJqQXvGspUD7hF9YMUKTLPyQN5WRE8ypEwpBcqXZUUOM5nRTMmGpF9vcPdm9bgUNen/kXdAb2R9NEhkCgbs6wwHmJLgyE6fGGe3HouZmPYocOvdUquc1zqnj3N07klO6nULpAuJhj/LiaS3KBuP6gDJpL3QtE4mxY+RrIcSkmIE0tjvplrLKRiR5qN6kJ9lcfqdt5Ydoh6Y2ToUvQvSqJg4aVmNGXJ7AVvoLFoOIHuER2O+1jmd1bFoScSqnzGvQ5wpaPeUR8ZkTYuY58+naWEDirC8OvAC+2Y9qO93nGj2QhECPxltcHxmxmZgFC1WtBj+B1Zl/WB+FCvMzlSBzPOide1jbCsTXVqpyOeW75dSM9yr+7YVAhTCbEzv4QJRzaUoRlfISFhIEYLA6CNKSi3fNwcixid+ypMurPgW4PoDn3Dlkdys1CI0zhxQ068PXIjvF8W/zuqFHGtsIV+Lr7t2WA3yRybpT1sJr8UO1pN09JCYR9f3boaPl9xKHa8p1SnLWFUX6E7yDLbtiO6c5znUTdsM4nS5aqbntAqNWVFQMkoLYfRZODyEec6hwV2aLYK2cIEXU4goFLLFEQYCo5SApQ36YVkOVHZwbkMAIOEbOAG6HJSVCup9if8NvRVBE8fEAeNLpUjoKDRo9DJnR6IxWVuAgfxggqQOqNXvv43NyxcW+AVyVZ5kUjViRpLjX4S/3RjsY5tTPw2dQF3QZ+LKa39UG9MFmLkI1vyRSUjWlmgJwnS7LKN2acsVGGm09xFTdsO2Wkp6WDKQAWMrPKmDcl1eR4CVvqHaF6kdCpJMmpCWMSPQ6qTISQiyIfAd46dFtwxEgmcZ5x9baU5cEEH5/FY4eHzyluvR2hwonQC/06QB3C04IwF1/2TGK+yecOTvg1PArw4D/u9sOPuVRs6SmlEoYSNc/g67CuNtqa+6f4Kl1p0bc422y7Hx33jVi2rcr2GP9Gj9wA7Skao8NcG+43MKzd0JE4QDQkowZbO8HpT1djkW9LcKK7Wu5vtKvX9dLUtxxvstIzWNzASm6a2X25WKZo03nl3M0PGbbbaVBUaoiUgxs/m3Mpf5NG/xA6v3z569a+gY6mHYkczQnkpdvgEj+jtp7teys91KzKepcyv3ZUysN0Wy9InLAWkEHO6TpTKkmscqhcLzV2OfbpCiI7rshK9OQqPvspQ6V5DM1FmPRVMh5LFGIlKgXMhXTbQ56QcrZ6i3GCPkYTcttMQKDQul+okmGW4Fh0DhsbiPJgq4UEGkJUK5Ka6wpuz+iF2YA4LpgxEbYayBvQuvJKHscsXnTDzot6z/hV2PKROE4ZeL2eSBaXuYtzVlx5GdkzxQaYurIT/qEW4BT5jITEMmSa64B5zGcWSoKDqc0Qd6lgCFozYSzIVtCZhUYH2ZjERA2o8m1JIJCRH0pFSrOqFTmpUfQbj/SJ9Qt9RXGHHcCub/r/23oYxbSxZ/pYdO5ZsydZbVlqtFl0CZGa4D7DsBf4QwfD9v9Xzqz4C47zajpOdmY12J3FswCAd9emurq6iXYRCkJhfwTNgH7wVR8j4rbFq7YvmDb9jC+c+49LfiY3+67tD6FBea9ZM568+zDdc3DjNNjogFKK6ARpu7D7o5ID0xcV5N5X/IFy42S4nsvXbbysMI888CNEnNcvYukMjzBN8oRZ+sdm167UcZlN1l7cbSXjUXoB8D+qCu7YXFogKtPtNjHFCS7WzXxQSVCdIEHQ2K1SO0Q2qGLvb8SqbTY43B99ao/hch8+LHXfPiB3zY8Gi2FHT5X1k7DjUfWfyp0/OXxXINP3731+KHMeaRhKR1i/zrx3c4RxaPhM7KFcDmj+p6WgUzlzS6FU8ORd9wiUkNgarW1e1gYTJXVfEjcNOnYSoyhyzDyDcdILFv1T303ZdUOnsFsxpWZXOmzcgZfWQVOUXa6WolSNAlvroNhRE0tjvfqsJ/34dXxE7Qt7ZL2+7bm6RdSRnJ8ZvDlovEDukcKc93Gb0jS62MOcWm3gReV1kdUUS/oD3obauI4mJmTEXDWzifN6APevKLKopW6aoAYrfCaIxNb/qQdfMlWR6Jzw4Hjj32Lpn3RIm2yaCUcyN1rqzihPOdbZwwLECTS21MXlnC30liFDVwO96OraXuLH2Uq4RAKUCDEKao7/vdw1ztG/EIfqXw0n/J89cN8U1YXEX//VBF+XdIWxIa4UBurvw9s7plN7dBsHJxP1H4eIYK/5pBy5Fv/1DQ/7z9vfdbjc8i0742apZTHq4v0enB/2eGteE7SjPh9L8qsgqkGmeEPzC3gbdsIJvz73yPfkEIq6ztmVdztpdLay08uoNaUaOGFA7itEMI/uq1/o+WkHDIu/LguGZNcvN02uW+ew+dKA6csw7HjW2e+4MtC/PMtK8bPTv//c1RocN3P5v2ammOP9cc8P0Px87zJX4SvbSxkM/d7GDxEMlLKNrkkx/K8EuKF5sd1ZMoJfROKsWN/T6SychalFiYFIa7/QjKOTyYVCZ0wWVjjbKf3A0QEwkhkpqci05oF9tbl8RrLA+LLNtylT6pv9hRDSmuegbEzvOYH2I3IGGYer0M68fGCt8cY72cUd0LpxOM/ors39aLLo5F7NhOJhR8s31omu6mDJp3ZihnCgfI9eZNfXicWfuMjKg1NzuxQuhrnBMc/6l2GM5xMgZIhBvrMSRM8zQgRmV0yZ1NpHFMXjITaExOXZ0TDFeUb4RO/wmfDIfQfOajgRhjU3ZIMXavTeb+uLuTtyORZd1FPJnem2NWPoptFMWR/IGMf1N/rDvGhoZ4MOM4j5U2NjnJ+X37n3O/tUqeAwTUvFjPjUk74AnHgUomY79kfIOAsiMCFDWBIOt5AT9AscFWUNWwDnzti2qzW4pB4YVxk91kPdgPI/lazt2xrtlu13GOY4MmTo3O+mMbWa9POBUP7PPchc8OXbMT7IONoSKDO/8KbFDGQMnKo7lilVP/n3fmP3/Pp1zkHX0BHVcxMJZedO+RD3Pzz7S/j3GDnOOyEqjg1EnoEFtik6+8eG5QyUmqNZo31Z5r7J2RkjNIMn0pnjz1rQEf5HFI/sJMWjofCfVnyV2/GJSH2EuGurgoFx4YJKw5iRuAROsGTrel6OnpTDMtJ++uRZVnYTEhjI4ukV46/uYQCkKgX9cnV9efxg7XuAA50+i8/Ms603hoy9sNE7TtRYvbM5WTthcVRt0MVQEJaCh3e10XZZzZ1DLIOzE+CIjR1ZvRPmwCXwzuZ+ZXJhUPhiBccOwxUh5B8icNUpMZBRF0bw8LVYKM1RwrdiBY48tZja9P9aYUZrahEf0rJgZOlJ2piExehCaWJW1onJZQzvW//qXaRkTOoA6lXTQQDvJOBQ3lG4cGq0Sj2XC8/rjUNElFY87TF3oX9Qsu77sQ6P7mmU7UpwMadYOQzypS69ay1hhLTG0qm2ngr/n27ZYbgmAqlDaGk+WuRquI1UzmwXd3WDSbqqY8EKqFXvEFEzm2jkwyrhtG+UjcOPWo/K5Pdq7u6fEjvk/TssVJ+L/t9eXF+fnj/WSOjNZWF/MupgLQWu9+Pf6S8WKySGbg45DR03y97wDTT8XO0yRhVFMCRgj5RfZsKNGEwwAN7kwQgTDsz0jihtT/OYsr01q1MRIVdIgnqngwYQ2+jOlQNSO3OG4Gv618uxO4uMXkxJzfViVOXhAvR1KdMxgUmvmAJJWnS6AI3e8RY6KhPcuTJmbPmM28qawXi/5DnNX15eG65y7lMP70O73mbFDwtzn5zC0a026dMpAczeiL1VTix8rKROKgbqxzsti6ggbjVP9MklT1S4yenHTt6OF+jfT4YHj4cCOWqlE53owlPawrF6mo0OWMWg6bdLevZWTjbiRnExXC6cqpDE4Eo4k/rYPnmQP0xCpjAMdwFB4lY3f/7/1ouOEYXvgmirF28miA0aBsg7oRngPc3a5RhcwjlkEszC//eNfjxxD/yfyneh3vhnufq8NRj1c4D71hRmmUHn0vAnOuXhvj6g06N32vXK/m8DtSAgKxUrJk/Xea3KKicqzvLfYbIkfy9o7xI4ixdVlabEDw6eM78vvqcI2Sq84elbsuHR5x6Pj5Gr+MHSsjJV+8ejYobvBdBlD1yphNWf5v98fW7EfBw4535riG4ODfqC6n4kwZ6r1hdhhU3d5byRJUeiagYlW811nX1CYMLncHm+08zmuZ45IaDEwaVHjjzpbSj0Gbjttw8aZRzptUWmP3TgaKsI0MnwyUdO+sUpx9rBpO+Nv9M0kW+JfdwguFAY32vdJWHp36thJvo6k44oWn3SHaNbIm44MgW3Nv48dL5KCnCekbnGiCJKpyTHVaMv8ULnYRNzMFAmZgFlp0EWa68JWTc6UvGA87zTOjQomRGM2tXDiJmHHZuPUmMhoZRiGGOcSApvNyF6UwBAyXC+2bk4cERzZA/5rv3HtX0dJ7QlAkjZeN8RlQlNx9IyNEsEKaGFZN3iq2NFjjvYsT4OepR2/OiZ65lgcb97+a+2g0V8PcYPc9fIhfHEMGf96Uqz4u6Uop+WN9VlU+xyvL1jpUO8SXUSsEcayWZA1cTmgY7JSAJgrHiqRWPAAP9eUjrxYpqKO8kAaamggjzOrWSYypZRVXLsKyE2mjL6MVLPQx0rK0USlzDNjB4Sax9NKP4gcKln++frJsUOwxXWi2JGi2/SK1aGR53//v4856v876Ez7TDXZJpOufDfa+JjYMVDnBLb5uWUdV04z7vxGsYMoUKc05I3raS5LRf76tWbanN7HW41adUFFEInoXcYYE6VsIHXAFMmYN71fjAkiNyJjmiGYjNwGehASFOq9NVUy10vRpnWWFq7L4ygipWgEKHQbsoH9+nmQOpWxvsosyrPrrhHd2Zd+7M/yrLxDh2LIedd0UWtlNu+UgRxbHc6H+i7oftjonBTI5AclBULzs+9ERnEVUvAZd6qFcqKm60LeVjSdJk89FqQqQcOFExm1DqxDNcoDNlraqKxKmrHR20FjrK1T5AdxGN+JDMTPnd+6b9zqqygPgCFr9DvOru/u/ldox8Q4Yfn1a1k0FX3rxpJxmJeOYRtCNY7Sd3//+mY7dIjoIVT87SM8RHCqlaX+7U0DNwyNluuTvGM3haI/WAnfJHZse0ohejKUxaEF/wVk0aPBdrsEQt3Ttc1H80mGzcpURJ4lHRYvq4SqWuwgAC3KkHjRjrPSHqOv63iyaXu5nysCPa9muVHseGTwmM8/ih0SD3ttoeMxm6KtfsGciBXHHridvEAtNuSvCrQ5Pogd1Cq5U4e98m+xeI6dXNOV53KXz8UO26clzIAn9cAGUT3jR1nsuHjlXCe5f3tZfH4mlrEarj1nvG63rogfb1VgFyKSlW8S5ID6qlesC9JzmQoN17NruUPR6/1F4sY2VKtM5eoCuE21O1WO7Gf7ZntPNoKGyVkuo+uq35HaRQm41PevQ0XGm6KzmxSHGUHu2w9ixzfnHYkAD2LUeRyrdDnPigbgY614oGGWLv8QYVjoBskw+Cj/so6M7F2c/IbpcQzlbW09Fzc6O7QxN3TO3aiaKXvRcxIfg8oDl6hh5VAN86536UbH3iCKdELKc7lZM9rfUz8lhrBhejf+gcdxUKZ4eo/WF+LB0NiNxE0kW26ag83r8C5Xojs1SWPkRW9hB77VbBs8sXedG0Z4jBod7Pnbl7KKv38cKUwv78D/4HJfRl5nnh2G1noXrzQ7M7Ub95OhZnxbvBPaVX6RG7Mcg5b1bIIdy0xhod3M59vdtolIJNr5eLXbW1yYMPaWzuBsTKYrdXPVoz3PFiQr8yXPKc8BTKeQy0g2ejE9nM1sPG+38+fhHRrAP798VOyYfxw65NP0d0JHcHXminPvkU3abhc8/FsnVu4G//PvUyspHMadIP35Uayze6a7pT4Rre6/RV4bCJxk57g66KleebBSWQwmY05pnZ0fZqGNVwpEoZvgrRuKBwE5zxxjrDxoi0pF7BfymPxAQ721oEK/3wAS82/WsgfPJVNR5WPW1crTUTE2N8FrscWM11Gml8YjcLM3VyrI7vK+JvXrotO0uzpte78satrxPSB8AHRah1YN2bmbkVu6AmalOnoJW8wEguQaRfLBlN7Q+TFNnU6YSaybbxw9VLzaFDwAiPo2eox7NW6xFZIcjARXB11i6RSYYWTjxH405S91ZHlRq6TRTKzvfTDX9QKH0a9M3juMr+CGzWEWmzb6+H/UnX3lmY6TQ0eJHBcSQDaRjs+lGr/9NuxSiw9SipNGrVNeceneh47kYXqVETSnNkcL/V3LQeJjQ/WP299/b8fyjB/93tY34pj+zrcW5R0BYLVqdzvyCP+8t8Bldr+bxefEjnF+nt0VEMp48nac3v36+6Z+dVX+a7fb/v77qnl1Ti9mytYxEtaTjtzUzKJ6fuyA4fH3p7ZXXORwZgsXgW+CPpfn58/eD7VS4vhV0fXo7MjMgut5L2iijcgbZNkHKbuGINWgVdXhLHZsU5cSoYDSQadQqjFZnHeckpdNn/Q7h6dfwV7TWC0DdfqNb/irAaZGQ1W0gsWRXt9WnanLW+kj88tiDIGIkZelOT0JbUVf+vK4lCTIcEXsoOops8Cc4c6eNfv21CMTBjNRiULu4RTVnc6HvqWeixgfnTO2LK9Hw0k3hStWx8DcaGVM6/DOzpseKum4b+6x/cmocoYrsnnsxmK7gibv8o2RUBRTFrOuLYshsbGU7xQ7RAPHdUz8jt9/N6ztf//n3+rOXohH7Abq30EZNUT09Ruyjd9++1SaoaDRBYvk+uxZPXQSkOY4g0//58wJoJ4VAzPw7BUB5vIXxdsmxccS+j7eycXNOay2QckZ7l0keiz6TqNedp6HUpwidmC4zGzzL71ALh09oMK7N/8Dx7dPGDq7JZAjkl72G+aHc8h5fD/3/GfhHZdXEn6+fkzwmD2IHcprXei4PsSOs+fHju549dEReKfi8k+JHce8FogyOMYOo/P01H3NYYwl3YwIVywtrUFLjNCoiexcSniF51eCFPtvnSi6G7Ln6vEk+rPSKzZvp7c9g0TVY0mdUTZT9hY7NEQPDZpfdsfCAnXJ/EQ/mIrM6p/GDvUeA/Voe8zdnDsFzJur7x07nIR/kpUDRYrF4jCi7651N1hLC2UhCgghRUkIQKpNvqiwQcBYk/lOlEfxwBganDFpB5FBgGwMBgeR0WMHtnIdFtknwBQdMS+Hrpgx51LvVMPKD75L7LCS5eoWvKNt37vYIWKHGKZvfl1IjeMd+Oj1608DG1aa3OcZx3E3qeEEz4gdvbXT/lHskBf71bmr4fG8hdMuPeUQ03U2+As5yN14Qrk3uxEAu5/lyKgSa9ghL2gGhoztXoH2atrfRnI8I9e/ylQbh3fp7cUFqqt09GLgcv+MR98yMyMGWva8GXwVA2yAf3tq3mG2sp1Ny7nvfWvsCKwDH3wQObLzr3hWfslzQNEjkvPA/RU9j2LNjfStlyonYQsdvP8opPqw2CG3t17fpLvySN4TuXyRTfa4m2lD3YfRx5viYOf0rrOr7Usy/c6mUkxBUxaSjZnY3rn0RhhvdhW+6St2DEoNeR9TWJuHzEvVS1z2zHcmH989dqCHa2eH/Gowt34K9nFL0bskNtbJfaAt5uRNrXSZu3F6s2bC2XbkhlAGTrkc01jzg5MOehcf6OY45xRNcpVdzBDTnGAyZXYXhUKwVyJPduijxln0vT6vc27njPvid/w+qc1/9t82O3snpMO4HD0aLX97kG78qwsb98WJhYyk+wIEQ9M0N/7TtzgMLqt63MUO8Zu7DfQ8iy6UMmiUHwW8czaf5OLS9y+Si7je/T4m+fV1/4ehZu4ucql8p6GfvHrlJxZ1zshY4BvKdjtFUtEPb84ucBYBsM/OLuILKAGEJN/pImfPO5dmREZ29s8nIqXz2dEezrUTXyLvOP/oeGbsUMVCOPI/fv0rWSrZBP2NCckpdFz40eWZzcPyA/oktdlfA1yI7HlZqGXigoqjfdhEP/FDckCNBRWbi6H7IropQYjAMRz+qvk4EhxTfLDYYXmP5mvtVXjw5TF2mLce0zdiqPeMB/tjYocKRV8imJIXG+nqrjuqx3J9tMJ2l91iCRXN3FSLR1ZijBfjnpPawA6FWqTXyCRh4OTGjGledd7TXa1ifVu+kAUd/JLFem6eK1UReKbmHVqZEnV+M9/xczvtn+ZV4dKOf/wTok3luGC/Vm/+JkhUbLGTAsVFDRcykoMbtXEy3PTA895t1LVVDnmHkwhiXcJzP5P0QsgMg22jJA7p7aVJ5tW//z66vZWBg5FCLpLsIrtI7J1cCo9FuBlXOSndhKnGP+5uqb6xtLxI6E3wuMvcfEv1hCTL4ufncG7G4/VXOR7zU6y0yzr+wfm8RusgOHNDJt9ytQmXWXKi3HMZfgM2GB/FUDRJGh7iKpRWig2oCW8H1Aw0RZ1kviFUpCMS9hFqIRd2dUdQ9KCQVctEWQSMLifdIdKHBIsB/QgohBvNpdg8LJGDhu7r8i0K4mYSN1CBc7R10++S4IcKHQLNzdl93uE7H3uZxZB4eD8sdri4zO4H3ztjekTphrouhpce2rbG+FDpAst0NRt1qmCKHrOOV167UbiBOKWD2jHNj+wNN9lWOQ8VU4KXs5wMYEaagiki+AmghmYVYlGfaEbWGLz8h71v4IvfAZnzVV81y//O/vEaLzgXOtgnhl2m0fE2/mmwBus7vJWax5UbUnSkD25ApMCiZ69U1EdI/Q6xwzMDVm1wVBi3t/hrJ6gHnTk3OoIFOxn3fJKT5ZnEEFWIjfxLrl3xAwbKZZLenl2iXaq84zLMwzDPFX0II7nN6ZG9XGZmeklGcmH2LPGzY4dLuq6/qP8zdyMsLnQcAocVLJcCJdxcvPf8pR6HH8l+nZ1dPz94BJ2Omn9S1it2YK5FfmHWCLBNaRV3sQNZrhuJnatlkksy0FHGRGnEfVK2B86MxeSCHA1VU/nOukkv94vaCtUdTTcjvWv63jSByMSBWOzEaMmqzVM4oTJVPmcPYof4KEIU89i3WZ0fknc4Ud3I6pYsLvvS7jCrWscW60wpxePQcR87RpIEG82NNlrXI7nLES3UROkMmCTZWnbWsP3uWw3MU8oZaQUSekTgyJHKi7u9IzTlBDkKMEz/XbIO4wjo3r+LHb8jt3Gq//3H30pXrgB1vPvtnup1zDaMpa49gJ09kV5p12P1T8yY+Tp4Jix3iB1dzmGNYc1eEQoYqbwT0sEE4BmzBDaZceHICrf5eW6zu6HkVK0LrNQDvZBQ01mk0xgvycEOoa0840cOBwgRNApvz6xpfGFTPn78DbHj8jy/+CLmcVqvzGcnftbWQg2Cb40dnq2WKDkVDLQ/HDPjWQHdF+ahkt6/5wNwU+aMZWnwHq0WK4lc7FCoVx9WU2taA9LokThnWTAQK0tbcchV6/Q6weI8tD7sO9FQe6YMLgmfmJuejUGw4Fsx19ML1aiIvwVRZLbevO4bdXMbKRun/j3eoZRdyApWzHdGSLHY8b1Dh2n1cZoO7axYPK2ZM3Q5zNnOHHKqnEMBZG4Jh1wi+ROIkwYr1pMgo6QUtE5qk2/sCObFgdEhN08pCi6l28Nkm1TT5expjqqJEzgLnMD598RKjRFk+mux8Tt6JlMKn7Q6jK5ousQlHRY3zBUnvI0P/gre5bFKMf/Iw5J3i/RZW52PNPGD2HFj403dEK7meTsP7eyAASYmFoJhXdwpMd+ZvJyUmX3zRbxzSoa3/ln2yuNHLiTd3XqKFyzt1D6Onn1upzx6Xt5xfu5IjX6A4PE/518ld8wfeLO87gQYL4zz4n37jPiJQ5+OF+czBLF/0+Ed5B3BueUdF06VK6dbwmi8Td35Z6ZQSBogDUqziFKlYX3YOzcQS0KSlG/fYSDH7Kt8GMR9VyC98lO9lAGyVo5SErm1RfBwAmQ9eWa7gvHY7g+ElcpgBC5b6J299BTcI88PiExRjxfrjuLhBII6P1sTwRNLHVI6hnE28OLUz+XL0rjUQqgHf0gq0HgczhDBpunGM6O2YzQrDfnn9c9eKnYQrGFnLmWs8G96yYeJN0M4fjvmG6/PuUxX8VUsZaHL7iAdMLd7FQoUHOkVgrK2WHW9IpMRvV/BwSFAuCOUo5v+Fx/ccSO/QBb2PnZY6PCVaBi0QsAIjNd6cWg8mr3DTSfCfBVLu+jAfeVjKccFLDElQ9ZR9kr50nn2Kr45qCEefGFunMvx87HJm3On/imTTRq1//xk1HgwCncfOZiBu7pxpBfnAeD9gPL8m8HYKyUUCK2lFuiuuthxgZdc7uwOaqHU8r+8Sc1eWsDFWzVpf3XQp1koQBiry+S6MqcWm8NNcw3yW7GqnKUvCnuvOHMiUheH2BEL7ui6PFf+3e0hQjhvvYARNfIRrvkLja88D6xm6oZZNBuzPSqqL522Kea1pmy6FN0DWJWKhun42nlJd5NtaCUVneqX+17Vl4KYhRxMnFAcyBMzcQ8D7z8UO64QK78idliDFn0zooaJc/zrHt4wWPQCiY47LCW9w6Q9MOmlU/JxF1aXNM2CY8HtNDji03w6ypIwudc+NEnRnCBCJuqc7B3B4xA7FNn8y+yVcLM3b15Lq13NlruzzNDP8y4GBMaaTO9MxpKxa+fiwO2sMVGyaKQJ0RW5PY+EqMaKSPfaAWiY3R5Mqr5hqfiaJsb5486GvnGK/fvDVMP98RlDOLPGMmdfmzAzHuQL91levLwPbpXiyR/6RoMxh9hxHpq+qKAMVM7laGApqhqu1n2x+XuixKDnXKpLJ1gs+xfzYbAmrPYLRoQVO/K3orBDw3F5x4XfZR63N/DkNVXL8j1HYf8QIWLDHK6uOvi+46D/+NghF1NBH9zvjqvupmtXXc9ltlg4haDl1Pjo8pnsG5XPRlIOYyrDyvS/6LBI+3wkFQ9JFiJImuVFnhw7PN5/KHZcXUX8VW+N3PFvlPQFdPz662//IuWwwJFaHwXevoO4gWJcCQH7MXglCQPpFUsWzLZ5lcWmYGxe1KG8GYPuCKMOuj8cKs46PybTGqagLucaoe+w0q57I9AMDvO76k3CHAU3Gv38C+KKfW1BghIm8qzdd+EKmguxHgkunc4NTdj0DRR7lNvf3FCb3DjJdlfA2GG1zTfeq2d2n1z5Kjwg3w5/Owke/5h/3kuyQ4/A/2xKlfMMBv1derQvemvEnR/gTRioyhLb80ILSrkCtQSMsVf0ss5cF04NXXof72w8zuxnm9yeXpKQdBJjv2K/RGw/s9jB4rpzT5PnXM/rvI672MFjRBZhj05FpY2PEUJUFEQSryyrvL25+Y/FDoe8xNaynSlIYLjA2nali2bk5N/EjD566bUgC2jlnZ1brRG34jhczzerPjP02Les5Bgl+nluBiNYi2CQ+Bxk8UViR8cP8256jhf270O5wrp/p1Ll+pL0MOiCuK/hBjdJp8uBeGV8ujyv0tS/TzN0vbJuSvfBqssetGRpKCpEEyqgaOhUF4OTHq284piTqt6ZAgDRg4BxZZrtZ5rHOrcSRS0TBi7DGxdFXglEVW4RM5Bt9tu8Bhwl8Z7/9X8VwquXmeZlLq7uLHTo4Zn3bbHDl09994b1wZV7PDBc+FzSodDhYofknp0cytW3L/bvHjt4g4fWvCyirfS1XFMDckQBRXR2lgsbKrgitJhxLGVLgU8bsYNIohyDTqK2hcosF/rFzd2VeT6aSICLHX2Fjqa8+gC/OUNtqJfL7U0KJvEDvCNyOomA5A7DFx73wwOHdy94AfoyXrje2oHp0ekiy3ZoZO6xqlC6VmwtyzbLO6BEixyHSinKH/KjHfbMtQ1Nb+koKK/prJbD/1DsYGMP77rYMTkiHUo5eECWq68RuN567N0AdxzywZvAMIzuap5rck16GZ5jktv+4NyTDheclAVHpuSIdyAFEDlcOtP/+Ylhw8197LiSICcjlv93OCAIZd61Gd+CfmTQytPkoAXAYLaixPXrjnXiI4B4e/HqOrxNXuslquQNCs7V6yy5Fn6ikEFX97V7wjfOPPB7Lxw4A/DjGLHimP7zUwDHsW1lLP7r8yM55loByGbTvnlG/LvHjsjpAh2o6DeH2HELUgqg0ReXVOo47gEYgsEGGZBbvH0jf1jMa5kYEHMrO0NAyNyoZRHJtwQWM+0boC5g6Ur/19EvZBc33tUJVEZhl6p9S96Rc9qik9hhrb4r6RqdmeF3V7X86NhB8h2LwS8vD5q2ME5AODaraTeZ33F8GGthmEJIRmHm9PfphulyVM1MRA8KHJlPUrYUHWPUmbk7txDH+/2PxA4baVHecZ92/PrbP/8ut8gCk3nyThx2SCnu5NmWU0laSHeLJs8113D0V8mZPKmis/w+dsjp4B4bjZVp1P3yPnaEsndzZitJRyMI/RNuGBX0NdXGO6UclZIP+PGhKz1SCBGX13AD0jcitL4RHAJyyw/0UwIKtFGspQgLPMTFjjf89faNHmxPeG1j/6/txRKFoG/YnC4PscN6rA4/OTMi/2eYYo7Jf0lX9sKkXB2AdIgdH83EPz0Runjwvxffd8V8vwodWYud/vYQO67uSpHB4GVZ+RV3VRxTAgUUUUaQKmmMyd4+vTM9bJQ4zOv2F5PZ96NrFzs0wia8o7Rubm4K+1dd8DBQ6NYplRWJ5o6vwg9ih4drNbvH1e1/KnbcN0aNXYchFMNsdGadHOHC6SMvF1P5TXaCYJ2bimkVo4NUmwDyeKRxerOElHSPGgtpQJ6OHZuVKniSxeGP/2zsbkalvlTsqE2uTnKkv74T3eDssln9j/iW3IRi/Kb+DWo6/fCWvONwPcrptJTW7vHIZu0sOzuK9vD5ism0ODY9U/6Xz9r5fZ9PKcdo1TBEZClKalH6JHaQ80hSyqoVagDE26tbV8G8owQhbCB+CET/ltFutLffKEWBoMiXDGYKI+EvfQv1InuKYgcvVEk94h3PssDBo/XvKknPXiDvOMQOHSdSajqOUeMwanxpiMvFyaDxxfkL5R0ICj7434vHjjM2OyWGd3ZLH2sWulowPmRPlsO767xQblEqxNKlHvw6RYi0kN2jeinsS5miALI/GpQtJZKdWZOaApIiULycvKaSSa0LZmCa24c0bu9TGxE6bgIzp759gGoQPyJncRy6ter/8JpFcp4HqZwQ0yRKsAIJqo2MW5wYsgZcoIcxBOemYpHqEErqhlqG6sROFtDWh0PJDsjuULEoc8anJlV8gpKGyY+OHUYr1bJnCtK4HRY5gDneMK9YzXbrMndW2fovL7inB7l91R393W5w/Icd693q5F+5Pae5f0gOJLRCi+fwT3M2naPFA2hcHF46Hx5jBzuMYsc7yxl0H1bNm9tDBfNO9z1/2dfuT3KOQ3FDIHlj35Ejd+W+/S/VLASS/zs8603SISl6nTQ5+6Zz6XuHmHrmFIK9s1NptfsYcmhcXdr43FGKwGgyrrp4iX3y7MH/vttxdUhzLM0QauTyjgbljCQ6yIVQm1yGlZMjLQ3TdqNzQtjTG0TYp8zDFupvX3Q+9WfZlZg3YqDSfKF35p1UlBqxhtGopPNKTJazTwMyend/nGY3CQLRQ6Swxcz5yC1mzqh62nTwRmOj81WjPuzYqF8wzfPQD33vj3ZcueWNSP9NPiJ0LNVi2RyOVrrBD4794Tvr7hGM3h4fbd/kOw+fwlTsh9/Z7j54xEe/Z7uvNVYkHT+khl7rXn/zOrm5o+Vz9+qu0r1ueYTFjkPc0J+Vix32tcUIiQcoXqSWqlQujtw/BgRE37ev3735nlfo7FQ7HkQk9v5ax6FDpFTB9IBEWQrvIUPSiFT2UGJ73uDtddfNv5zTT71hulzapZWSMNM0ND7glXHKTNKUWubqEyxktDf9P8sJiixtoHIZHtjpC9lI2hycqpbSiXVIEB2muewj6cSKyW++9H+84HFlSQcVC6NvI/CO9XqDnM4eHR3UcXZyj+Yv/tgfD/2k+8Z2e/jWduecpvf6Gd8/Pr77cvvh8+//dXzwwx+8N6Nt8lmhBl3sQE7kGk3EV7rb1TKxZMS+fnOMI+8sdqiC0VMsdty42OHwjvTtIXZU9vi36f3X79LvqQ9zKiKvoub2Lxk7VMXQ9oLTVHbCduE9/JJrVkWWsTdi+151eK5aeOVAioaKHUGMg4PFDsYU724KB50wGfcpNND/M52g4PB+EQii2bqWZsfYDpkokG+ggNSMgDYkZDptZG9adtX+H/Fzdj0WQ0zTPj0WWDswZKfuj8MxvT+6f03kRoPuAOw2udLgsSu0GMbb9INnTLrXefAKJ//WV5NP/KLJAApIBmf8gjr3EDsYFXtN7Lj+myLC7Y1SiLevFUDS128VBRQXXOwABFUwcLHj1fXxp3+zP3m8HpO4x+uPN6/1Yu/S8PtiS8d20PWfgTf61L6OMT67qUhjhgYP5XSjK8WOt4I9IYJcHUIHCl9UOQMT7WBQNvUPsYOmmWIHM20WO6KPhxeCwP9zxQ7P4E1ypaIvVfWFYofZOuFAO6jFNF+tVavgRQ3vK9A8NMTs2Hym/T9g7HCJR6JmmLMLh2YgAl/kf8IrnMvVJU9+J0HHbKNrGmXQy1Xe+jKbOrGu/EhPVbyxT4xpeh/51iUeA20aExFu8X9/e3P96uJazRTFjtfJK4shrx0SYhHB3f+KF2qiPIwdZBbHx1TXry1evDnEjrfczvbcV+ff8WRHly58SGX35odI4P3gxMP3Ojans5m+QlDpdAQLprqkS3PjgZ5z1bvGsWKN5lJsojZMhBJb7DgTVMo87EAT6DdXgfep4BH8mWoWR5a3YgupNKmIrcz/GpGxDUq5mFavsHXqm4nKA9v5Z2o2/YDYYQs6id1MGJTN6NrNHOn6ww0lFhx5od0V01ylhYvowInVZ0wNAI7MLur4eN8u7+Hfeq6u9sPX41eIhBqc/h5rO2VqOzAN22GlarjQQNFt/vrSuzbYUyEisdiR2P3/5oPYQQ7icpP0JHbY968Th4Ocxo6L7xo7IklL+Veuw/2Xix2OhXW0nL+9sgt9rNPJbCtnLXmjPSHo+vqeRto071a8Ebv9SmoI/rleB22VKw3LqZahQ3v+mYAV/HnO0GHPDCTmBV1sJk0g+TyiLLYaKQlBIAxdRes1ZsEJ3SuK/pDX2+tGUxK3HSrgX1ja2M3IfTLexRI4Qc8MXleeMwBnDaLs05YPX7q6nwumIbw58o6zS7MgeZW8daCEoRh/sywkvcc7DnnHMXbwEBc27I/U4RrpSfbhYoeFDb3ku79ZqHmXfM/Ycey+uCm9q5u/ZOjgSPjv9ubQ+ThiwggFSeNLhk029XLhZm6tZKncVC19WRt4s9hxJb9LNXNpP5CqxOdPXEJ/xNhhgdSdkAA3D9weKfSn+g+FXWKkETgiLz4I9xjnPNDmGvwRL7hb1W48BaYlc2G6ptjViJNJ3uHa0/c68qELJmExnA/5oEkxGheZXcK8nvbCMFbdcsy4eDBg+AOMWAoHx5/H9L0DEza655IdVkQG/RQ8XqTxa9cMefvWtWGtY2KNWsM4T3MKFzveOQKIfY2W//8d0ZDqzQErVTfXYajvuqbN944dl9dRcOTUXUXJXy12HAfPwsiskyLHbTh8zquuc0vLxMWOY19GKmNM1b4hV0kSMWt905RBw8kcN0xAwcvOP3Yn03rx/T/XaXJvV5tthC8SFIYpykCYrohonqP4pYmu2Niiyjb8A9Xtx/M3Hikcxt9Jp1FsmNe5+Xhw32ru7V4J8ASw4NMN25lYbtF4nCqi8l+NwVLIeOtXfXA/TDv9jzOUzE7fmd4DiceZwsKBtXFrbVXHTz9EDf1pvVgXL9zhMg5H5HhrkUVBpcs7Ot7HO6tWupd+/Z1jx9nZ4Q57CoEjDP4jnONnxo6OpnL50edT7JARU+l2Jzeub7FDvm8MxlW3cuU2EUnHk3G80u6EnZ//xWKtJRYRw7Bmm5Bn6Z/s7XfX+Orq4NHpn0w/XF19XqctIQ4uWsjmST6V1TwWSolXrPse8n+ETV/3vohwSsD0zyBxLNMnvz9NW+HiEx5m4d6+uYUd74IHWQQ6VOKAcf+/q67Pql+BLg68r3cAINcueLzlH7d3+vpXhRZizTvFoFseX4GM6KWV0nz32HF51mX23tN8yQwxCv9csePy49jRuLzjposah5olNS0sJloSix1dbXfl+Yel2THRvb/i4Ud/Vp6PrefDBVLTzL84iR1nX9CayqSzMYm9tDf2EoQFhhQu5aYJ+u28yTMGJhl88TKWCjM9CL82w0H+DPXxMzfTTu4B1/wN8yxv3jB6f05MsH8w0HJtcy3XCfMrcI/4h+OS8nN6upcKDHoSzRkUHmzKxYZX9CytU/3gtTTgDQd59ya7+O7n+vC5nsw5D/74seM4qvCpofer1PCOKnWxw7s6LDPH4XjblIlmGZLjE2280jvxrvvrNaYC/6SQ/7PGji411F5wHLq8+lJaTRwIFi0GarMql3/VaFkqdnj5elx4fajss1HoDWZ5uZzXYEJ5vRrL9/aJ748xPIctZq8Yi3XMCPRRiRXWEpIIOmqpqZsEYape07WuHuErG8u/lvygvm26Y+GtQOHUPQHJUtEtyDpIYFS4MF/7nbHSh8cT0fk/AVjaZbBO7vCj2ILTJdqkd1cXEom6uTn2aEVDhW9aJGeM5oafHQT+68UOOOpwPcI/F03lpGa5dErph+Aht8duAuFLw4eR0IimnSbFzBvK+rnYjjNqljhfj8hDRkGxnnvZcul58yV+05DyV/Pi6TTsTjdMvkxZptCRvboNraN8Z84tDNFLAlxC5wlOLBFR5fKNDabwYKQjLl4RKG703LNXgUb2cWW4Rjf9Aj/2UNbHmSORHeZfLi9+AL70VPlMTWGG0Z8igHzx/o47rTbvws2rXHXB48ZsrpHPM9KHf2TN/eVjxx+Tt/HEtXzfYbsf4+oQkM+tAxCPjJnZetj4sxXiJv50kxTkHcVa3Zei6S2nST7alN54ggC7tAjSOPafEzt88dJfHRR6cJy6vXViX9IszZTzhpg4nYmRAhcxyQoBoxA4MzX/zNfl4tWl0pRrSeyk6IqC80uq8OJViGA68/2uyQLLPbk++8778r3u7hN5pX+CFXZyh38SKYOtYRrUZ92s2033FF8xJTWBSPjp3VM7n+6/cuzw73sFprH3J48fnvRSDiqPXzELhwFW75eTPBu2JZGECELsIO8A6BjMKm8+I4TIt7vwqrbh8Xn+dK9G+fecyf8xdtqBF7LI1TqTfcKtORmmGc4ttLaIBNKSuHqFh92bkLwj8SVjqtihPs2dm4W5UTg5l5IRr5HpRzzKoBRAkNu770nYujratR7Q6cceUZoEfwpOeqcd57LYq4/q4zNTGAytUO4EgWwWLrXcMvVd7HDR4xS1/4vGjvCh7433JyT0dNywez+3Y1vsS7FD2gRROm/7qVe2w8ArVn2vVJ9lM/SK+SLzVguKGrTiiRj5YlMjxljGz7rfcGs6Mz1z5Rzp9fmrQLrGgjD4nv/Kvzm/IhNJM6dfnLqZFwIFHmtSTz+7Vsy5RWVG32dpZvJSkEmEFEpfvdJWeKsS5/WZdAq/c+y4ekbskCpBpj7WnyR2eJ/mzR5x72PeYRMt1Mgg7jfo1p9LoBSZ0f+W2PGB42/0540dBwEf/+pIQfC/WLMIvWjWtGnjZtYvBw16H5tR7k3Xo3K0mTRTAgn2vIhAF3693swnFTDYU/MOvRPoHZdWKKvOSK+dLvGFYgdFSYB1cqysl4fFclJQXLmEXH8rkzXlKhcyW0vO5NJwHd6k551J5Z0wFGIHecyVvdz1tX3/RTYUePleVKL2VJreYpLGOYkDClYiyuTZWexHBIPcuWabOHyUT2dDKC2mA+XJpicWakjgrceMNr9fcWZz9bgjaTMWiMV4JnYbesVkPoBGF+aRwkuib0HTI+WbN64zLhPI+JF+VWZg6ttjg/g5NcsRR8eEPRRvwaaScr2BODyLBVfoqAAATNVJREFUw6tbfoDahvN3461l5kEsef0rtG8lmW8cIN98crxz3LqkiEveFZrKzY9IwMCXgswpbwdeHrxEHxZR0cj/tH8f02D+o7OP7JH9tqDjr/puNCx6SNFK7Ifhy3cAjv1aV3RGid8B/YFblpH+ZAHYzElcJHqjyOQXrF7kB3KU1QrZUYd5HWf9Cp3WUZ8Vgj5r7F4jMTljXshP3UL9pDBB6ij8RIMEiyaXColGFJ6du93trMPbzgXQ8X6JIDECeKpdLs6ukIrB7vo8O5ezkErqM+MjiQfuXCoR0Y3PXyVX5wxKSK/ZkoGX2twyuzbDdt9OIrvao826cEOlaXa4eCLOxkrKLFbExWY/s38ZZyhQcLbV1l/usZzYtPt5pR86PddmvxvrsZlO9XbDE+vNprHTxoiRZhP9pt0NdJ7ztOMDp4/iKsmOObF36H/jxGjRX2yQZZnWOh250k8TvY69zq7Mj+yEMCnqWVDgUUV5OHuZVkvqolfuRf4ptfn7519J9yvi5BM63c+DQ6NP3vOdSX0I6vaIOzmVi5H/OJ5P2IGLqIjbkFlwIkuY2Nb0A/hCcdT1VbSHhSx2366iTDd97u7MKKV+bo8y9qO8dLUnslMMdDckZRlgTR86ipPvpmpTLdBupvADA5cj+V079EG48BHLlXFeM/ANHeoUdxHos5+L/wUHFesX5k7Y6s9WqJGsc40LJrP9plCaYB9IdzFRP4/sXMTul8fFcjMxTXkLELnd6mzI9ZrAMR3NMJ1Ys8Jid/PU7XacdOhRvqZK9Opti2qB7jN370bNdj9KYgvToZ+H9zfEV4xsO+PqzPuWeVFuiWQsnah2t9/0Yy+fr2YskcMHOKyhILb40ekDgbavilw0wri7QjpVhZGxY/btyCbEfoBkkn9/AoLsBX5dh4J+9Eq+ssw871KpMH4puNzvyNt56n04jPvR198Vzwm7NpLtDbGLxlxEfdJOKfH4V3S6gSn/rucLTRQX4clr2cCtF5oMkiKJMpHwUztXnMvYJbYGZfjYEBc70rufcs3daMBng3hs9UKuqZn4xYUa8Iqo2/1639a8pzwf73dkY9xVVTPo48cDDRcBAwk5qgCpSr2DynRs4SgzgU00Vqj2/XS6389KAnc937cjrbTCK+uU1x6gIFPy1mPZn7HJ79F+5NeS7tUVeXaMufBAoQCZqiJwUvVfv9jdlfCtlHj2Eot1TuvNfj3sNWPOAh9ntd/43c1IeEu0LYQWMChoMtsG+WK63+iHoUXzuHPnyPWjw8pKI+8HjAElnm2RWRylL2SZxNxoFnxKZyKzHC/0g0fd0paiJY8JIUmX0ITcQSylMCL9SE/uLcbIsh8Sg9keMHPT3Ww3m+eqzkhJTxLopg2OBITA171OjMlMEB3/7rpQlMHtOnSN7CjIskMM7dZH8okrZFmelx9c6YNH5IUSjlZed9gzg/gL10Pv3rGBLeoEL6zxwluY7Lej9/uZFg4xZNtCdWnmWxTUNmLcjrar/ny/W/fL5Z4v4eSuN1PeSjFWhTIphFyQ1lHJbCpR6oLBfreM83k7r5ZtXbftmAe28PEAp9sRzXKU2WiIl3O+u5k1ES2w/RDcY7RGjG01zMMoezxaY5Ocz+8ZKkX2htu9mvX5RGq1KNSuKwAboxjnXlnpwmZFabcO0a3Wv4v5ftPwQ1e5YLIa2RPyiicxZ9lYSAx+VFsiuXdK+Hb46wu04Ei2IkHyKKDUBYTkEW89UFmQdEWfE7r4cIcMfwQX3k3SUnvIZDiyLDvNSneDZ74JmhxFI/2TthOOTdkHux1eLBb90FHWp7Gyt/jk7Jyq31q2nCrwoydcJTbmPFUqAbKYF1/M7BTcilpoQxa8cMnCXSvN59l2U3h+uUJXcT3hDmr3G/0H7jkibjit15ZyZFPF8WY7S2Dm8g+S/ZkmhbiFa+IDlYSqkZViw3K/oYipKpUDyLwiRR3ylGkyafe7zbwsVvvt5v12v669ekeekk35bbxeO7wvAL9oTk2Mj8g+2OqD5Ftultgb77f9DEirHA7qHp+q3QxiJPQBQfrFYj0l3+sD0ShYrtCzXfV1dna7DUzD9boJ0dJfz+NsuCHCtmMv76/ft+2SEKvM43sv+AKtcuWFXt3UyQssjdSrmjpLg0/U5UV/jmNTnbnB2q8ndBASvp6f+Ko9s2a8mE/6hQPWsg9CbprGP2LGwWmAxf25LQC7fvl4My1OImDQJV2xxRDD6h22b3AIC9I7VD4GF+bNelMHhnLEUb1cDbL84xOXN0vW1H49Lo9V0ZdrbFIctjFWXqWwUwlmZBV+cS+IB/PNqtSu9qJnLNVHb7bbSTbctX3PNl8VL6P9flxmzWa/Ina0+1VVY9m9aihH9oMk3+znlqxMq4ZUpOdOfR+41YBTxY73VajIMxsXoBv7aVkv9/spHfJ2xs1FJpLzS/dTxgPa/QgAZDdS2jIvcv3G4jG3PDq7A/T8+X/f/4aqWIs16JNgTRp+bR7G9ZpLuR56i53iYkO0W4by0dg1Xjx5T7Tk/71yqQg7JujsG6E4+1XC1y2feEKY2VuI7asB8t2PQatkz88SsqXi26Cf7p6ftZs6+USJ2LARKM8cl4+5keM0H036j8CKuV9Kziup6G5JkpvWk3F5b8XIzZmOxv0fgDnb/Kaf6VOaEvF6yJuYaw9MXQXlx50PhftDsmBqVpPyBnlikKSlwIEhF56VufQA+rGVJSmw337yqfU3kaE1v3E7r48A3hePyWZdsdrafRNlk+26yqLRVnfsF6B07fLs3NGLn0byLQsX1BYzjQBO922ZcTuwFFN7i8mobXu+N9htaYb0W7om5YaHUn9otdbLZUNKx4cebPdj60ol8XzXltFijz+Ol1W73VLsXZKPnA/BCeyxzfteNRiR4NPgGeu8MkS02a7rgv0Tzt7XUZ2M+qLdmTC13kX4/HSfcrFYU59t29W4BkDHeGPNGl5QUE0xS9y0C+rLwW5fZxVFWU1Pfz/PklkrgWtSJVoz2Xq3yJW8bJeDko+4qkuW4Lqk5/Ld98sRJ2Gs3uySKJ99++LIvNn+ff6J11EnbrNet8K0HhWjyvf7+SOwaqp39qn1fGZ7k/7R9k7zjrTY7Oae9yNKFpWm3GXLYd3n6iuCLrfr3FAsJSWGY3QKE751Vg1TFSpumvIu+7DyOUhMC4YW40CFJIElqbVJfpx3sHdukIoe8OmnxSNq3ET3Z8EkzYx0P+bG5WLU01nxJfFIfnc7qYWuvqx+faBMhlqkTIrVts3VQSDWRqUyi1wN1nYcU7PU2N/ttmy9PcWOYr2fR2Xr1ob6V6HKrobIarBpmqlmiVetZofyiuigk7riM5N3TL2QBxJUorxPCEXefqxnDsN8sdtTEIxqdx2+dky3B0H8df4NOS2Rnt5IOdlQk7GpzgslTcS6bLbfkbZyItolCjBs74032u3hE2aT2SQP2J3hwI3225ouFM/IOEt7gmGEw2iTFMl4u+0/qUdrFbTWr9qUfpdC+18FGwfkAi3VeaKzbXhtJuw2jB0+J6xb5JwwLazeRn7CDw2czMU7CEI653YXaBnEVnKrz6ZlAUelQ8Pkt6Cta1TleW+zU/j3O3uzrjOdGQ0ic7qeme3BcUG6mRvuYb166inf11vLOwJN6j5droRzXdEVJXGbBfm41SYa8fK5Xg98fbObZdakoMsjroQAyyQ3O9jP7zFOrig6NHz9R7Tt+H843e/mGMxoa2rnsbdgcdEyqC0uRHV/1K8s8c8KfDRrhZWq7nlVv8SFV58ag28+PaPWyD9rhm677yd9qyrTkl4irbgAB84+UckJlQagBZTLirTgjLxE3VNpUfTqPPEzpGKGiD0AvNR1wYyuviZoUB9wtza9XF9vBgCHdYVEvR41agrBGrzACP0Iz1UBfjnetmNescaVsCcAs+5PZ6MG7gpFT8/TO0IWDdAleFreqvYG0Ga7AtzY7Yf0F7l4pV+/3861J/RYAOQabAVefye2frPbjX3xO7xK2AUVbZ45o9Gk3mn71cpnoRE2Vtq/86AWgsGpWHK3Fe93U40l0nmJCtU0m5mLHTtAjnK8khHGZpI/JhS8UOwQZA5qggHrZAkxZTuKsuVuTUG51C3k6aMqa5LnVzzZsaxdOz6YKfqHnCvwjmKzXaWqWXpBkIx3ezTF5+v9dhAmkffU2JFZ0ygwoOQx7E2lA7tVbMucG6qQjfSY8suvZ+N8gAlkbYAWBe9mM7HMtuwvl0u+nftB3p8t5mO+m0fVaLFcTVQ2sx616mrsrGfAwSCBCoBUZxPtLDHp4aYMmhlUwigZzsCYM15mQ86mrWY6ARXheXw5o4ifVtlYD/HK2bTizU3BjxbTgVdOVzPBGzSqwMlaLYpMDfxpzga8m4/SpBjM18sZd1OjFGAOYF3yhuY8SfcPXy5GX8xOE0sKAlf9+I/h3Bt6tOISW7Ss2E+LhJpF/QATDitmhE2+FOQ/IJKqS0CFR6652Y+m203N7+IsF0nfirsNo/mYyU1IKPargedXFOo8k6x1y35cSKUOeKS3o1A3Fglbz8wzJ7lYhSgbT73e2W/JE/bqyYwce9PXeuQNrchXNnWl125XebNT9lGQBIMeDjmTzXKrB42yULwBtIt4oU3BNjiccrfwBmUj05LnBLzMSDX2uM86Ak944p3jBep38IH4c050BcYoqTC2y1S5BLuN1k0VRZT8fT8hEih27Oax8o5Qk4RN4XZXtWgGCQVHToY/93xy/4JFzTNmvv2Ut08o4pS27MlsMPtxwVLcj0Plc1FSyKVwusHtJn7E1X6h2GF4T6BlGFKh79t1kq22a27febvOgQzLzW5KD2VAkGAlES/UpfUF7OoOU7FHfUPNklHebTQqRYDZvJef2EoF85PzjvGoclu3Q/KDr+Md2zlVNaMU7TrwAKW0TlillMLtQqX0mnshn24MqxCkVlt6B5pFRBETh1VFkCu13kF9SLFn+hzpQI8h1e2IpKRWaFgEoq+slIKx3TSpH6/A2JWFWs42VoRptVB36yaaqpzc9jKSCngwDWWqHrhec9U2E/3e9ajrQ9Xv9+tBFuSRwpC90U2eU/DuNjtguIEKU5A4PhpduB2ogE+ez26HPWOYfWGdxJnVo57RtYJHUQTDCkQ/sDTMm1OlUnsLNt3sdwQPiuTVfLXdL+OEaLFZ8U6nWQDcxy3bsLcgDcTWaPdFu1xZz5Ebcvd+SQjYGCQwUQdyS+G33c+UpdBn5aMMU8OeWWhrpWAL3gjP6wfKRJCk58UpDOgurMSeKosxf80HARVyTSDifupr2faSnPe6XnIN+4I32oXedWOa7t6ItGA5zrnLeM+rsKcXnvEHtKvRVpWomhkbytG2eZIeXJBmIBHtdDwZTVXOezE1Sx0SQfZKBZasPa4VmTkJGHlHWMMSjdhoZ15MYVLHOqWMCWWUhD7hck2/Qq1bXogseq3ag22Ff2UkG7Og0An0eSVO2KJ9X6j/C3NMeEfctOt+ZCGljrz0x+UdMXkyVNpMWwuAYxiv2zWk7KVSJ5YDQZQcdihQdGwosocNa+Iye0VVMjLlJpE31WLzKF3aJktlOZo+p2YBdEePKnJLOfxA5vJTsYNscKYEj5ql0FKYDgZrnX5oOu10BOdvIpCKra8Z7pRCTcGl+2P6XqWwptV4ohwx4xaY9IWJp/5cL0RI34xHK/XOEy1zYB+VREKWR9vdMGCXbAgr/KYgB+2b9Yc8odTFa2ejJe+CxL1tFyhrETsyVf5k79pcloOpNuIRZ2tdqDST5bMW8GxUgq+GlbhBpYLyfDhg5RTs8S3phlp3WCyxOfsAKcv+gMRv9gXcJXcRwD0gekTiEQEHBCzEmVGogmCim5ZPsiyR89lytsSlzgi3a6xo6R0wayFkZrnZbfqMuKzblRLqXZMNSA/s9teS1u1YcCmmRpEUULiqPT4jgcWI9pMd6yoC0FT0XhcEiRUxj4ta++I2ZBEXYqqncceo9Um6ONYORsLA3ZgZvkDuyRuB54CwSE2JXXB/9bOkWu+nseqBSMWCKJnYYAKtCDDpJ0G50Gomls3ymOQBpuNUN+cTj6E6ICotByQZdtKWI3VY3s+mQnBU1esOIbT2NY1MgLU+S9onhk7Y2xZWY6Sw/ee6k+WxCe3Uh6u6ocjNa8GZMwITH5aYPIM1oW/oHAxYxNokaxUuysZQ4V4L2n4EA+6FYkeYGL2l5UPEOf0mMq+1qCjxwtCasND7CaivWEl9VfAx2+Sy8HTVmMGmQSW8i8SRvEPqUqLZgRiTxpPR5t6Ta5alGg7rURVYv84YSl8UzSBa1KXwZhZvTn5BSp1N2l2tQnRMTgxgifzEtu3xMadaydQ2ZZzXy0Xp63ZXsN42xWzN58gpK3OfmqWIx2rF68OvcqMQCJNIjJmdk3+OstFOxRqXeKGhMOFeUxLnjMA5JcmwOi/TtY6BoVcQJxU7ACK34NrlesfiJ0yLEpCIPtdYgsTGM+SjjoR3QPVRpagIpcXGLk3iMshcugcGN2K1zhDf+UJ5njHQWthoSfQohDAUlMjF436LxQKdaNteqoORcYe0IwW+sYx4C7ZB+oR5NtCVnlsDDjLyjnAwUdgtK9TF6vkWmLTZG9RHSrHKKmGl3EMjtpW+1rt2hsgadUGXta9zxQ7PbrUBN06PTJzgotixX/q2TPuWUBIvxvsudgDAcN/WAXc+FlvAdPuShue6b7afYugBKjWgEVRN8LbgM7qL6vkkdMOErZsPONQLC0oYP+neIZTCWegbZsyZ48VVy5E4cROTF+7n1q/VGWQfIVzpvGXESJI4S3lFd3B8+kCAL5CjXIBpwWYZWbTgrup9u3LlYaYqcspeTht0UxJRCT7zdjvNe4RV34pIa24+CrJ5qdihMKVUH8fmteKbeKU7RvOEdwChZ+yDS2Io+4PPx97NKWCJ6hkXfTGiY8TNwmmgOlOfxXCumQp2ak8a6v4TokcXO+YqWlV6UtnH2f3s++fxjrZH0rpRhigQr64GqghIAXbbEniR94FUTbsiLfatTci2zx4PkOGrYU6E0mAXACaO1HPxaokdbSHMZ4zV7NIqaU8KnWyIsaoKEekGnltt+XJHNpKDHCpp5aG2UnzugDUc4fV+EapOUc9dsYMosF15Wm8Uht582xY2jcQQX9FMrSanoI1Hu12pdASjbABsUjmizEzx+f100EBR3DcsHC7JsPgikCHmwY5+cmf48Lj+QkTNsuqQVn6TapYNKCQb5naUj3VdtkspDWo1i9q0m4bKP4GJheoNaBEQEhgIXQmUaBU7lAB48dKV6yN/YNXBRi08m5ZUDB4Ky4VkyBn2hZwB8BojICgHlCAbbQEZcLEnntW2LzKSromd6ZiAQQAeKsKxLDfiUamKFqbC5Fi/W32hJSJCqtjS/WqzW3B3xtWONIPoXLurk6U0RCdP5ODFWG3YLwnzPiR0yCqDCWVvVo5m8HVYY3E5GoALlqOhEJnBkPfcH7GPAbXh86NvxgKf9Rp5bzRfzEa1aNJeM+qz8ONiOMT0eDY1/sRgpKy/NxiP2MDHs1mTNSO2lsGw5AmVnizoLkl/WOyILK2tF9r4KLUABIKJLi3Y48b4En0hqJvZ3oDiJRU3LBaWFjk6lyCfackv1i13SVfReDUgYRd0o6fnHY5EIcxiPam5L5P4y4Orfa2VlBoSlKaIq6mhFFpLbFI0ggptZIVQMDodlYDvGu4Tn2E9Si2UGCwPELkSYY8TUIQz1mOm4pdH8b1aUzuGVpX6ewAbeNeEI+u/EwaWXHq9Ir+Uh1L1AFalVO0WbtgnMrfLKYU3HgxvWRusZ218G8w2Qmkm/wblQcQOoZXFVHcB76fMyL3nSQDLeWPJSduIf6wvlrX3BYG6lLy4VQzOH0XY7Mx3hZXGmkMiV2iLeEaSlqneVjbfTDZCS5clu+hqKnvv+YBUzWg1ScaNWam2z7UnzsYsomHS7LZDDc2RY1m7Ue26xQyLrMWsbwMvIdFlLih5saSIm0YWotWW2DV8TY0JI5u9FXyRNcep0Y0+FVZtsSM2PkUYWLePOmg5WywAv3vimxFH9u+HZiyeiBQxUs2ivEJg5UIfuFa5MVQDRAWQ5R27yZM7+vnRRTCxMUb33SByg9GJRkYi38oz10O0URwbJs2jwHq01nXTk3yQXU0fZLGXHGdwRUqxyTmbQ07dvKeaSpGNw7kB+tB3Lb6gm975UXhHZuNCeTOezqb9Up817w3HVVw3hGrNYdeTOcGw6YsSVQ5ns1FPFj1RMxj1tXFMZv207gMyVQRey2Ky3nTmYn70BE76Ie/Qx1LCJ2BwPe5lyZf3TeWrXjSUofs6p8XYzuoSCKpKRqLYBGxBS/IOcmZDnvbjQPEdoIzlVhliAMgA1kMdgeuKahaK37ZIV0ASfTsAHOmXElHoq/ukxEvd0BG/tgExNioMPLlpU5JKV1rRVWCwUW48wFi5xjLL6FyD57KrCoDntf00maudo05rWo0msC85cXPV8CNrOSt565XAJ9wI4ndE9LzdG6LhSatoulTy8YWGHCu1Z6Srdj2uwq/zfwKbhY91AhP6iyn34yLlhmxL2/D3ffqmRUaPiiSfEoD6KU8SGqKGe9Em8ce7zUQ9E07Re+oIQXjMhyt8+mBmK8F+qlnUucfgtjB0XtxsKsYIjJZgSACgnltmYaTfZ3B0BEJI1kXiCGMiHCiN0aZQ+gRv8U+m1hMj96wNBlF3NgAzomGcNOxuHVswscZmTuYzFM1e7Et2kpGaOdAvYBaKVwCTbUML9SV4HwYv+ffdq0fOb/vfS9kyTB+OVUaz3dZ6Q1st3/tQo6ac7//xBVNjRdTs4zW9dDXL/nCsLF9zkgDOhyx8MLRCFtzY/bhVuWy3q8j9leCXklRSRLZo7lIiwdr+ZDqI/Wzwfj9JIO0Vvj9cb3rVDiAvjsRNVQ1dcNNo/EjMAREriP2NOjapGvV74TlaeEottvqlxt1abN7XXe6lGsnyDkCx5P1OfRZ21YGQixWJ6FLNmYQRCNUmsDTIqG2GnQnutsotGc+tdvCpBmv9krm2xvcMBQRFVdMfnhDjVfiW2clouvnGRn53qFOp1GmrFG7R526LbUmfgB+dLHfQWS35Zp0p0K0p66lyf19XY15kohqXhWUIsZr1pdVh+XAFK3Ju4+fsPyXZ3n4I2C8+WQA7l1qD6CVlU8rHidovo0h8OeQpxqtVmbvFrPnLSVnOuH5AbWRp76nSNtttk6tnQQyD+sdnFXSUGO5IkHjf2PNqh2BxbpRn9re7sZRwGAKfGI6aGcvA8moFO9J64Rmc7wkXO8+Fv7IH7HYUmWqhCrLYTl/MB93JFNh+GH+91/uwHXC8hi9JYstO2haTrd1brcWO6INS1/sT6H/G6iaV1QeHpeMnsUOzFdSFGoUM/aNgyP28CbsTKwwYirxDrEi6APALdlazVGoTqdnF2qHPMtKGI4wSN8ihVtNEcweNqpFyt53HVBzkHZF42MwXUHSVo/ftpEAnInPsgc3c6SuwMC2U1Nxa6wxIZU7FwU1XhVNjwGTgo0yRke3QgJhCCKr0U+vRriycrTPhSBBzYxX9hRB5fE7GBrsTfqY9T2hrwVujgaAP1ddNverlDTlLwTa7rItKhcADPOnDtda482dchs3UbFSMiuSLLWZljPRYQsi/Igg6mQ3qIXu4Ws6F0h+2J1IcuC3Ad/vVjLRwVWrLbucAIvOy67eh10D4Vj9Rtet+qhYCrCaqpq01P9dlZOPk4Vj8w6VAy8h+YZjzKzT9oG1CiQRnef3+vfIOyryZIKidjXJMmZYZitugJGgzDaF7VQlQ63YzTfrCSsHZ6CFvhMzAvOLtMQQyUbnAbtoYKQLcfCyKusZD1qpRRwaeNEHW14KJm2f0WT4/HHQfpMOv6x88FN93kePlHBci5f94vRbdUZFEq7VuDIbi/qgk5vWnUNWMNWnL9frgsILlPna02jhZgEyKhRH1ix8lD2bgrXmcqC2k2EEhtzIortKq0LCUwZPZdLfVS29GBtQYHWNVJsYtEr8DJIJF3lLicz/PdTfk2nhb67V7Ti/Opp7d29NYFRyFnd4ukWmm5hqgHmHDdsNY+QXqWoJulBUbcUSdg8JV8yt1pdyoiJOtaVZupGMvBAOS/W6V24i1BiPrGEBWuONoYw/hzTLDvFc5D2h/n3ASACS4wtCoO7IcQpIr/rautlWn91QnJIpPzGe9+ECm6a+E9nOqVJJTos317sXfEo7FpViQ5hUjsauMJrYgfXJjv3S3SExCv17pvY8226kQpan+pXaCkEoqmpHxufRMA2so6oaOZENUnlgTiuABKaIJyhlZ02ZMlmatJtcO5Jf3iUVww8g3UdFaq70hnljXqKBw4hMOlzqfG5jqgaZ0IsLQSPWRRLhCoXsqkdaTVFvPpucFhHZEMeqn4x1fqMCDr5ALPl2ufOWbz0cmsunmeKzt9jI4b7c5OdRedSpvf/zQoen//UfHzk3pnHxD39P87rgnuaGHyl3NfFEzEZBWM3VKqwV386iZrQbpYDEv44wx4LGo6SOh+4Jv1T0WHi+OaVbSWtosYNV4PbQiV01/taij0WpWcOvRLHi/kQ6lUxOAvjxYESFWw5H1ouvFmlt9smS917os/WbBNMpgzflP8xlMJN+DYMqMNGSmDa8zXzZBPsX3yE+UVnvZeInWC5O2gE1RxS/jkqL0KYLPaj3PwF/b5ag/kxh5f8k4Kmx4iCfrVUOVU001errsp1H0YdMwPu0B2LyTAsdO/C1JOy3GpaSlxFN3A22xq24Dx163ZFum3YNebh0AelApw9U9G/CBhz4cOSFjgI/REBQ50CMMJySMoUdoCXBRq8VQMJuVY9xLv2hQ+n5SlJUCXahn9kxxL3FYX8wjxtAu6pnQ9VwPl6gDn6amRxGjmBOH+jcIi9ODKBiZ5qUrz30NX9d9H+AIASIDLvVLmCAwgRH7pYz400orC5ft0BeDXU8TMbCn6neID8DP/ZdU1Tcz78fDB99tw7cNZr47uaW27a7LSYnPx5tNLDYH6f7hAQ9d5E/FDq31+7yj3R4Sb+1Oq5mMpE/uEKXd7gSx9EVvs1UngEzSEUG3s3OrVNIj0V4XZzQEbWzOl6JTWcQ2GFLaEzXKkbu2RFjS74hSceYS03cKUW6SAFTdCCcnA8x9J3nEcxWf0F4MXRGBX60vCZ3CKC7iGcS5qaCgokRjJ9PD8jw/UfooUX0q0CzItJLT3G5bkEg/Dc3ytXBFa1l2ibDedv6AekdHKixnc3of7ljM52vLOXa7Y+XCMtnRvmr0SQ9LWkoOBx0XrJTjgzRglIdOQlXs6sxA3cNvC5PO9Dxwnzd20py+6bapSeDmp1XpCYGNtYFqYC7WBFDQzeyjEOQU02I3EOgJxeQKxuKYchbCwxR25ta+XlSJve+0Pp0yUX6Q6g279xbfs+KMjW8f1BIypY6dWbvqltD4wuHJvJz9Fb2Qi8/puLH/ZO8f/4XBUl9cmpV2YHds260dO9und8fv28TJn6FkiezSDXYfHftuszzGkq2VLSo6dANsN8tR9YA2goBlbp0E7uhMSyY/kLDT1LTOYkm/ucZXltgq4i8ChBjmhoRreSvuxJ6rAhRYtNo7fClwFkeSge6kMdVZK5x8rZ931G9b4UBPuZp13Wp0skzhcWJObbv8qNsY6HZCCzgJujCQHgg35nxLOHL6fiCgCosoHmqcPY/dIKsAsIf5ZX0KE9l2suvO37btvrbTS0YDjYoi2K3r2IKEK69DI+MdRKoFjGTd1Yo0e5eGZrYcmpRYHh6xtTjyTqSLOo8WP46wglJkjI4YosQHuYUdstv9zsQpdx514A6OlHoJMw0P49Q5ZCeJCQa7GZ3c8OXUGqWpYaI2Qyn1XD5RGqD/Jh3d5AO5lODwa4PU3bBJGCZOYSx6oRvHQRWErEeGIinDnQIeH/77RdDbVbs9zexPEvrjkoHdl0TxnwMv5VINPlOx7D747tYt+tVk0CseigsGTtu1Q7MlfalVkDgNne42tyWZeKeyUZHXjUBzoe71a8wcw6UIntsswRJz+3nitjpqDLbAyOJT6B3MNHyRJIP8qDVjY6mmwZgfflfmkF5TLdbbA5JIDnqaAbdArPnfyOKHBlE8lwOYGqfdfWnSOTzarptl1ni7X5x6exTsu4eV3oOMtL2PHgST1QTqZWbS8phVxd5BLiF0+nDal2PfhTPRU9PudwWnfsucijhJQ+cWYGlBYiM28fEM6yXcvc7HVUhyEvTB4SZzIqZ51k3w5xLKNYnUTFHCArvLi7ospruqubvcllvELsEwOkT+IE3v0qPYgnag2eokcLpNYeyCu+RH/KMu20s5dlnsoOyF5ho8puEqaeDT9CSVqtdLBg9dCoHDh90ZEJH9eNsthtO8Q+Ph0Z/Cn5HZ/o+yjp1VLCcxstsrgTtIthOr0Q8da7dVB93Eee6aUW7FJx2CbSvZt3vcFMhDJSD2w9xdVXFnPRO/9O/VVpXrZs76IHOSWnqM7lzWfuiEbmLteXpCZnIBJlUtmZygk91UD8PN0XWK2cAmifsjcD33OEy6ANbFN5gB9i8z34gkbhh2gcfiVOYbUzfR+/E7idjTgfC6PcGJ1J89Zh67Yyp3jC6KKxuGiMv4mBKEsVO4cCBqZvPMLoJIEIwSw2RqWNUikvonFsxOWD40aWsnAxTqlvezrhdvN6zpGdyTdZxMWVcKhbH5D8SddGnspDEsyGojzMzxxXeiQl1gMNkLm0S2fwc2hpPabExuV0PJI6Hej12wivTRwk5p3TMHCU27WALXyZF8c49SQiX6dPZaTGcu3Abi20mxeGXpkfvblin7VjlcrpYjN8ChlZkC162mtXtLmX1+JyHeMdEidznCJ8yKqSRcnCTzDu2wnsS2+4flHXUXfiO7HyiMy8ptgHwFsaGsDRQouFpU+KEvrMuEKtxmG+uSxlxuq9NMD9J3qzu31ZN071hs8bg0xTe35ny9UmGvk5t1zWEddFtC2snTpd3TfXdX9terFSP7q+NBk01b5a49pt26CdZwDrrk2SXKLtsI40MucCr1Z1l+bumDVlESnjKoEktW49OQ3Km5u7vBOUpom4tO0av4+anVced9jAC4ZSxszVTpqH24O873vmSxEBxk6i123Mfg1m0sKlmOhV9XzHR9l/UciLIwnRC1CTOndtFVFv7nxmDMeeXkzNit63ciJffrOTK+SHh4oJNO9h6hBeV4mI/QoVcB52JB3onDflDjB56jWn5xnNs/nkDvRWRzQ5cD8j8mmdYWEeIOmZI6R+jWcChjo9i2wdxo2Lt50ZVS2cSmpOlw25WJ44OfQicIHak/aa+TPuWN+cv7/OJQ0ran+7PlHa7S7169VhuxSlJmUXZyhcEaBoGDOdwlvycibrzcaAwkPWTPfmCZul3prtqP5X1lHgoOPEPP2vwxoCNrgq5bDoHGgmZudykGA0ZhIoWg9CgykRuKZXE4Pcjp8SVsZtR68uOxMrijtdkJ16KlOpfKjBtY12LskGDN6QvryOKHXg7BEQIzgM531OD7WzR/6EqhotSEhg/JpRBQlwxHccx8NAbr0bdAwo9bm6GDHv3udB5uOhkkJf4XOAKprvUxdnxY6W2Pi8P9c+swo3YDa7big0ZdVHMc6OxYq99n35/qBkThSezwux1QoeKk73MMeGGaqFRQvZiEj9gqU81xPCJvjjst/i41/GRe60f3bjmfP+/+Y/x2HlkcJC7HyrRcES4yHo1dIi12farYBejYLWayJel1jOaS+gBrCxEogs4zGtt0lB4R5oebR8vZwrHV7E+CU5WnLHft/nT3sBRft9p9smrDzcd6NIZt5ziVtcJM45j9AWTAIoY6NIDRs92YeUwmpxBLpF0tH8UWLqS4LwMDbQeWq9tWKIA7b0SWig8YW2wDUoUekvWMeWzcXPfaSReNaAZk9iJM7x5Sez84VZcIl60RS91/9FJnNPgsPruVGdh+InlnB2TE9w3f7isD1wJL71iymW/jA58VVvcebFkA3EcTD//0XUX+8/OOxKGjX98auqw5CmIHlznLJ3d6vmReZLWOwEGGzB9SZRyysXPNuEPisVmhQHRS8GQGkJkYuncQBDnKoIefsM17eAJBog2g0A7pZx9JoB5bfofmyNfOVxqnj8oCYteNcYDWx2YewRF3jOMv3Wf2s5cyMFQkpj08G0AbQPWM6Q1mOQaoqA0G+uzlcDqGlKIB2Uz9Y73zXHPdkaYYXPPADflFQzFSkDIrisF0aOOYTHzwfNFQhmO62F3O9WgjldM+i8s6tm2X3u9O+ywu/NtmzFQRTFzC2Vj0pCYkJSgjtAI2CLaRFzEmNO5jkKMbPOu8LyxXt7aExbzU6d1lLmXokCd9TE1EF/e9vaU2tYFWm0UlezDfBsU+UI9iSx6TqOsqhGFXfXaFgu9m8B1rxdb9BiWPg39J5FoODso5+Ie5DCnK/Yf7Yicbfyw8T+89SvYk/5AVkXi50+K0sZIgDTInKBiCSLpN6fnAVRQ/yhbEtw+VBA/vm9A3oOYrJUvWccTipkHt9niM292uExLuWley/htUSZdGk7Il2LEYwJHFJwJBEjGmYvE/Bddxl3K5T/KC8Oj7FAYn+ZFtCYDWEmcECjyYlflf16IiU3nEbaEGjBrqiUkqJp+0Pgu7/T2Kv3hfRS9loaWxnt7SBhYXhRQdVrEG+uwWZeB1YlF8JUlnpgq5DNKc1OQC9TwqEQUmV5Ie2yzzMCi3yE41EGhFMNw0YYoEiU1hzTQVsRW3Ln70ew51/y1OeA/7e5Cj3e0f4B1muOcMosSt3i9sTmSlIau8GVaeDSFo2GDoBb2hydP3ZuvVfFCp9TgYBr3xGCUazTc048mkXwp2Cm1HLofz1XLKLY2gNmIutXfgFBVQ+iAWKsigtgeH0dx5l2uT9IuKQZ9Z4gmiNvqzk/6bEIWLDrGI3AZgs3BWh+FCIRpk4rt2RO7OVBB2eUEAZyJ0pXbgnfroxaKrs1QD65YElvP4HzTqTsUM08gZ30UmkRr4DuqLT3syyTcJKCMTnDyq75VYkDWwI1KAJgorDYjjL9rrxfA8ZPaYqLTMHuAs/fbASHdpqagdRYzE5Kl1I+ArYaZzYUqz48DniWXdw3u2aaogf+ArqDIn7zFHmZzO3DkiRxTW4znj6JpAT7z866chtq7s1wlKQabwaNeo1/T6+accI7TbMcP5xYkSPr+UTV+K/41oYjuV7M8k08wjHGDgPMWPWhz79XwluTcTOChcsYXqAZV+qEGozCpsuEeJOSaZ2gmqbTyF9F5WBuu5ubrwZzsKnzil7vVH98faQeYSOB2PxsdvDwtDRuLEZd0SW9GQRgGrm+CX1cwBJdK/KWTs0NcUOQKO0C63umOXVRghtieFPjTbY0HFZiswPChjI+nipPmCTjfyYFxsEpOm9JkI/NmLJdysbMmu4G32EKMTkrHWRD8ATOb1lnppqUgdSDm284cuPG7Q6k6PoZX90T/Amb5zJqzmfWMEZTiw9x+eRoj5SrjmE+4qVD+heDaLeXHf0vXEoRqcLP4kGy8melXfeoJhPp4vRoFL18vSuaVkz9dHScfzUf5Yvktc9Yf92pGtar4sg65D87mn5VO4q3natWqEj3RzVHI44Ni1rmZpnaBq5/8mJxWEWAUGIX+zawcuVehPRmBSx8j6qXxHygIP8JdiMq6N7z2JvNNqIzAku9SEydao9K4j/rXTUE9g6j4CBsxqUWVh6aHlA9dp9ClchrdTtiLXB19KOyRo9jKUBq61lBUTIgbJQ75EAVwz2tKznBX8uWQMUBokiOGLf2yBGmkUySNJbU8rOzE8NUDnBzCyb5PApZQhAqnQoevJzEUmObbZ00wQw4creHrYVTQL96AhkCUHfD8MpMC0MgOJlUmdVxqNyOaSrJEQm0ZHN0RulCOmY4LhzOat29VsLYkwouFuPp5qlEn5YWyTFIuRVPqagJmB3bR/nKGSlinaVkM+Ow5PCOZp8ms7HejZFWdop0GlrUIvZ3ISZCi+zSaohkxzQ3L8o24YCd561jPwTljnwfBWvt1+RxmAHz6T+jSJB6eRqe3TxeGP14tCmoiaMu2bBq1Ti3nAobofmFQ3j2pT9b+4Utx11cZ8K9AJzqvVapB74Tfg8Nwwbhb8MSgbwx26qkj2MCc71na1GThG5+d//1jKQGovR5F/im0mUtBx1QpK3rPSRHUVDRzT0UUj0qwMha/9zPiroQSsrekduKm54NOx4wHYXO80V8y0GuMh8YnJmKhnnqautuv1xiZyvqjrfv9xNL/7iEyv1t4zdJqeEjj4BJZKDmkyf8fu4Gdih4RLvRehSieowVMWwhEmM1/JoAJW64RxVcTc0Sep0FRrFXuT3IaPSCxL0yEkKOgj5G50KgS4AmhwYskZKCc4YmMScqUkZ+QQN/PSx9dZsYOz4xP9DqukuNU2iZ88OGcOHBKR2lRUprthMmgnGhaMGqkoSBc49w2V4B5GTnOmYOhrpLHOqKco1gjGSPiZBiiy0tJlVfeVy0SlFTfvpYLHpHNpfkA2u00oZBp9azoZPbuWJlTnMx62G/FjNaFMf1MvvbFUjXRxspIMjrXSjnqlultJXbsP4fhD5B3axULxH8TT7MnnQECupjB5G/fnUZoTzJf6oxUDZ1JnZnBlsl6VJ8VfVizXgxMSURwuFc29jmcpLUldKEtvJBwvOPXZeAdXAd30R3hCGo2h2ZuIcMvkVn9jvoRSrIu+sHGmjNz1zdT0AwzY3FEM8NioxoyPLe1uLtx3imKSN25tLC/R2Vxb7IgyFv+n33KM4eQp6BmYliA1S6+MHtrVKykaKe1EymRiU4XxI9I3N8L4iBKip/c95dwwzraXHOkHaUem+hMBVs2/5V/EmTC0fBlCaeY6rNohp+ZVstYFkvtObepPpuYkYXcjAwXWkyTvIOg65QUvdPz/8XvZUermtVNrWgImlu1VMoFT/J59U5H1Ne0fMYsCTGX2aFjPUQFrGhVdkr+RBhyxw+5whYfcaXn7yoXGATULyhTYrCGziRjlctxUhi2IvGNyKWS79mmmTEFn1vXwzJEIoRYQnzKVlAqK8mhO2Ug2I+rLGIH9URLJlSKWgBwTr+8JUUO8bQXXnebkfcuso+gL3tXyAN1ogoRinxuM02n3tvnholJJr7hCcAzSU5ZL/CwPi5LYx65cyDrcJrmqQlTKsoLtArCQLE3by5WQQYqyr0mNkk1xziaFombZDJtaBCZSUIauyirS02t3xxYyCOl2OseOIE1LMCovC8OIqsLGXxhBYUaFn0aY+ha+tbbcOEfW3fa6GrUUIFH6A5Oqc6w+ZrJe1WhZjU9xrNeBSdOjJkXKw8it6N98Ck8xfWUW66JfRJ9p7JgyCYKgSMEMFIUYZW1n3IUFwuLtWnOAOKCMsf5YTfJ8sF5RTfjFhGQTQtN0sbYqaEBhupoiFCxfCWTVljysPrieCgRjeMY3Q6apl+LsQ5JZTWe1LgZQAK/OwybzfjldS82QZAuDsBEGGbOa6DOaIslRz6fFaKG3M+IJtQi6At0repvtJpMnBqO+A857NV2tZK1HpYthyHo+KCIrSOrZetFXYzNH9Gm9RAMwLScznBr5Ntt8obfO+7G3LqUjrz+FdQRbK3hqtpkznVjr5G1bLB6XrRJgacojRYQADFTe2Xw6HQ+MqZiYmYhW8NzMCLel0CYSBDSkCbjyb2rUfIilootDJdcoS6y+Sks59mRZ8t1ix70kX4XWzPp9LRHIDINLSCfz7SZLVLMkvvAOqdfobpUDhJSjTb7GWjErEYw2CwksaqnPpJRCh9XkpKTf5LgL3BkrVCqaHj+fZFGAmM0gImXT/o9rAKJdSmyFp5IuRCYDGDFSrjHpaXlCjHKnPwzj6Et9hUjqcCt3u8mdcy1jKebUZphsrNqRrAiQjx6vl0VlMrGzZLhZavhkDI71ftmQJ67WZocjP6sVKzZb3ccOXwXclBPEG9GK38v2K5uo3JKOMtrFwEvcYxM9nSnvXLrERpg4SDs7+mM6lvPCciQZ9M00KzQo26436zrU3C235rjs7FdNJi6xFiY18cTTUH/bo+JbZLZ35YxPzxsNnksJc/Z+1pe6LIIhvHzjzkHz8baZC+ui+tOo3yf7eYkDLcRgKrGKYMOrzd8BhT+xlTbWEYhwzFi+l3oQYoSUPkUsS0Tyo7UpMiKIPn9vAD0CRRPGBp1bieFjVO0pGt5Lg6USspMV0oHKd01/MfAMyeUdSiysXRt6NjeDQuzipSfNHWba04kwRl50tzQSlQPIWIRsR5N1WyFo2I6teJHcL8+eE5UHZozp8ucd+gj8Hopp6SrsJGRfyPeEoWg+0TiQWPA48su5CccgFpxpaepy14GXe0/TDacDMCC2yw+jYFUtExPctyS3kqeDb8OakbUcfdmB+YU5qQUrmWEnsQoRbmzZlsadyC1s8v0m6b42cz3PxZvvl3ckHboqZ/tNi4kC8lSoh/eAlQIc6ND07e12VrNIYZZ7kR659OxjGVmForCKM1b2ZyszoM1tWGzSpdAzaaePJXZhn5aacWusDIBUyV3htTOIM3lZsT1KzCKTsQ/+UYpNvlQ7IQLU2C2xAJc4C3wQ3/2vYYrp1KxNoc+CmpQHNGMl85N2JAx2M46kZFnIeRvX3InpoY+kPsod0YtLweCRnDCk0DHITmOHqYsRZ7UTh9LMQDQ+A6KyUmKRheV2K9VOXtfyT3mysLlqec46ZrNjqCMUJkUbeXvzeeVRKsIFkJNfLSW/ARaURa6HmMRuFpQw1NdkeKjT7AyfPFM1nauHpRcjRixtJpBmq2R9t9LsYiVNP1ULpP3FoPyy/ayl/jx7ZhlzQOhtWfpg/Mt+X/lIZqYsE5hKSOxwb+56JsPjScx2JC0lXFIR9prWmV1a+RKtRlICK4yWmwzUytMkSiS91zwiFzcNZmmZyI+kmaqi52e79WBsKsU16kkIAjtzp0g+H8QRZMLlxNLKRECC5wYMA1OMZjCUynYtScFY4kgTSFbsjcLxx8OFnKOFiiwknirPqb28KZa6tBUrFSEnrhESyBJt1/Waoey0W8s9ajXoz5yY2xN5pfod8gfg1UqCGj1arvu618PDSaVHL8Z/Gu+eYLBSt4UMOsrk+FBI5yjzp+R3aU8nRs8oAwEOjPat3reF7t6+KTmOkkRKckmefLfYoaZ3YCVTg1vRikbQQIptJD1DL5rvXI92oNpkk0juW0Uml6/v28NiE6LPBoMGI4uRJQ2aRZLDZm711jrAe7M1zzWWP4a+ug8lFrzvCeMRMjY2KXGhmVMnsJ+YK14k3ay0RN2ZnW5m6rXH8RNriEZf5mHGpp3buFHWFtla4KkJfBRJ5KAwVuRyu+S3yylBNQt11UT9H4ngYzqIrZChY6Z8burc89w/iR25VnkqZVFlA6pG44yVtqzZjmWpWeykO4Za2X6E5i/6YMqrUKmQYpDvHejvmcIxJYoZbMv9IatRGl0ZYs55GxQ11k/9RCzSpIPIiBw1XDzKRU7WBn7dTgJ5iLZXngi8vRrJrVEayS68QFkTza7G/Epceflx3mH/IYkbfU7v1cAd3s2uTuRLyMwxvtIb2dMJ2vNSKSDGY1MBJpix3SHVNfJNSbGUWw3OAXOplygSZMJKTeGMLG7yXrrYgYEX2z45Tx6ZQmIRkHfEGCWi4hXX80UfkYJW2bf56WRU+X1zRCd8DqWILoFn1inp0yhCHFD7BXfQJDBBRV3P4Wg/pRsws7cgAdM4LKWmNhDr0avW7VRAm8yV7bcP5tPaPOeGMqnjnOXr93sJmtGlKe2tx9ThZe2MIcbzsVbVU3u02hjIovAqQU9qrXTBcA5KDXaDVjkQexH1PKqYqfP4JtCtjVuRr2Vqu2gdMLKbyIoC32opwHfopMWOyDu42X7HmiXynH99Ll7Y0BRhY9UsSaGkAi+OdhAk5NIyoGlnVYmtyEaApkICd9Ay1VqocUw03wo18lXJ9LXulTmNFXAk5Cz763aDFG5ZYcozMRO0caVFJVPrRedLM44y1UQBN1u7DCuzhC4mbRc74gdybcEXt0u0iznzqgyG6MYF2dq5KyzVsqMIZOvJ5KeKcqD2x8S8VUshMgNJB65GzqIsl+C9yLFLKZcvj3kHmdk0wofcVL1qhYtEUdCXJ8NuFZHtsssXdvUMJ7KThFsq9qx57B1jh7LrEsFoYEren83CqWfayPMF2DjuoavlFAEKXInH0hiaOSGx3komDqyVIRAx2zD+SZZZyewEfTTJnPpzU+syv5IoMaGzT6XQh5ao/8naz5lIImfk1ORzXzbea8IgTntiuQxlR2UpWyJhxyglnI0syzGXvM101GQAkvXmPW0K5IxnaankC8qkSaH4Fjt2g8jOLDfSJje1RaceGsnSdijB93kk6wm2YLkd++qJVYnzQlJU5IYeCCWkYUK6EAhiT11klIZhr11hwtaXv4NylPFgQOq0LRT1qAQ1yVVpUCL2TLAWVaNmILPTvm81dC6aRSlzpJH5TtsQSqnsu13NR6jEPDVwiCyKDP/OlbfZrJ1HzVoJIj6J/SBEC1POTcJE4YaVbiyDkyvegxDlbLVhxmNpLhQbbW88mVyDdbEq/IaXoAGzUuOtXG0mH5N4XzJ2iC+YWN6h4CcbRCxlGyUAvvE7LJLl1qNV79WSYhJCaVTH0tRjZ5HZ65raDa6HTZ+G5t1J7j/DLNN0fR2jkUu9CNVqtV60tc9ACcamm8e9lqi+tEYescPcS3KrjOUqL2PED7oQfhR9kUOsLKay2VbR3RAalLRtLGnzwgkkkXGY9xTuB1v5i8huIZ4ZPJOkeYALObAMN+kI60P2gSSxer+LHUoL8khRqRPYzjMrHJi6sfWvQKoUfJbJTY59VLNL3P0946N0wsFBtjTJgBHUB2+zs8gkOEGXv92uFxxEVicegK64VPjI9dEIBrIjPo/c1Uns3dRyueR80+cGN12DHmW2O6udTuwIVZ5VH8eGjgBgHA7/k20dz7JCTFzGYxNMTHXS1EzTDm9tGuxU1cViI2/rFOCBdoa6hFlYG/233fTjsLZmANDSxHfVuOaIUqO1x30lCwwUYBNNdhZJoTyxTBS4tVGdt9Zn0mbiyUFBwZ3lh5zawJRJPdXWkniRvQcliugTRKeoGxreD8juytW2ZkMc4f68fy9jjN2msaamDSd4JmKdxePd+9p54SIsSaleSTLdNfIFiYy1rQ/dMFMSOD/ddlF7Xu4/eQSBAAXZjEgcS57JIHJJgcaa3aj6Ism5YVSHqUMtDcoeaghqH0YV2GpRZiYemvNW9CgAwpyhVXTXYoPl9bF45Tj+fnmHjYBAwVK4Ks3dsr/Z9Eg53w/FDVmpduJHCcExzcynGOxBrsuDjTpK5ZJgR39pLdBo1SQddTfvm4+JYmc62qx7jkgiRb++Nf+Ao8gc4Su15riGyTmKk4Uk/VrcV+u1PFsLC68yIGmdcKXvnfiMuJHYL7CwA3k07SrRybgNkeETrDBVcYzqOahTpMBI7FDHIjPnIXPx8BdbmW8bqd665Mhly54P4608NddxFztIC8BNpOjIuCBLT9xb8+2O1Sxb67nj2DfRf4dkSrxT0JogOMdpsgHOAmNyoYFjulitoFopkE8yC6DOhGizEG9WH2KGXyoEqu1AIt78FI/S2Nnr+copElM1xs2UbCk22xy2NBWZwDBAr3YHRJ8SuPWO3ck4/fg0akBQbXmTBZKzKbrMpDO4OO5moij1dTuNLQsdmjvPUMk9n3yqxV/357pVK+mfW82yn4Q9sRJogecag4f7b57upC28IrGGyQjJynshiNoA0J5mQq9aK7kXeJ6bGVycy10wVJ0ygKGN+UsGK2pP5aweJet0j6RoJqKvuq/DZLHHBRmj2XaIFHOL95VMKApJ0IeuPdUTJ4Flie+DLF/ng3Ko91ubYQvLY+dih7gLY0Q0Ehu+Lp07le6r8Gk9WuTQuoH0oyxE5rRllCabJUZuHPnQDRRFLvVM3ahr4i6azWKZkW5smoy2quLj7FXoCDhPmaN9at7hG7GO8BVI3o4/UoRVaHuQV0W5xnG0kyY+SnmJSl8suStby5w+ZUOJLCwS6UE2ZZqYrpOo0fQ+e2Vl+geZE27SVEqRFpn7lbl9N88k8BcqBtfs+4Xp6diEbWT6VzY/I9nJMmFsInvIC2UE7Eu6J7HFDLlXZgNb9ebGaO30lZGorEdC7FCev7K6XC6E4Vwyo0imDxprVGMLhkFz4ckyzlvf4x19q0+tRCXzFp7MK+62dWbttKXFjsScVjgXa1ksaJMYMHcgUnHmdaNE2jsqU0atKTnWnM6VtkyuuZCBQpckc5S+ERlZVqiRA9ia0hVfiHGo3zCLQtnzFp5zZ6vlcsuLEdNFYS4yf6wqTXLDxuj6uGDNtC78+DNjokK5FdCIlCu5WslvymSeN9q2yUWJ0IKZTX95XzuALDJeEi1OyMLx2IqrVnrjglCDYisUIcLst9fB9eAMsyIU/Uy4DQkGBX04VMI7VrLoPFZzZ7akhFfm1lxb3eZD6yesDSvteVGjsrvzyxVRxPzfsa7A0AVPOp45tSIVV4w6xkIAYIOO2Cw3aDeUj0vlWQiGg0CI6un1TaW6dEa5+E3OOe0APnVvMuMdFNKxT15mzuUPd0yNGCbW4Cb2ksj7Lzl0MQGvG88cSvbjiWXcW3amFVVzaiInqlkc3sHNwBwW91gRGlWN1Afh/VLWdq7pRT3M6BFhR4os7GexyLV6zblJ8PdlORL09sLcZao45v7QBprLM0X9GVBfdJN5W0OiTNAbNK7Szyq0DjLRXvCQW9tcw95AMvj/FEiyZ5rMGuNZ1kpj46ioKvq03KQzWMxJYTYnpXLrWaosw1EVQFqUIsWxmd4lw72psi+2j+CtfiIGZ+ZyAnWfDWYuEoInokQtoGPeCJrlQ+NlUijvIHj6Ai3DckeME7LYL0ozkyUdmjcxxisTM+Ue19zlaqQmKubJOPbrMSkY41uJ/BTobbPxg9eP9u8HRTkTVpqb+aZqaqtZNuOeuj8AaCvzvOjvqF8iEgjQ03IL2u7qfHwTRjm/HGCTImioanzeUPGRFlEdrvq13Hhwo5MrMWXde7lOIhnNz3ghCzyiEW5LfDTlzQMsN64GClZEolmjNusmj7zgr3gPYWC0c2YB9Prj4L8ldGhMIonWQHCJ8tG5TX/3xLMTsEbGogbubjFMJoYvsnmwEZpVC9aM7UykC2q4FmNSQY/NyPT6O6xUN1QlDxdlikq3M9Us4nDQ7ltM5kYuMN9s59UmJ6K1em/tlPEiZRjs4oVra1D68F1uGnJ2RabaCIVs8QNcmhBsIN6xoSfiOcGd0fyXGQeu3KM2q1q+tOvJSqaMgY09S0UBHNpZfZoXvEFTUcKtN42eF4T5YLu+JnfkczfXywrtLBZOuw32SKTGQxQOae8bqjXyzKctFEAizgUe8oVwskrfjs0sopWBTdIpXaX9ztGCeDGWcruhQPRuQhzRN0p3iI2ispD6Knb4cp0UE2Rl3HzdysHAgrxZu3ml3qbTzDHkTgUgeN5WZr/Cnd6be46+FOtaRA7M1mOZGcnzHkyS3ocuYGU1i4y4i8Bo635jlBBdFNFbpOK5mXhPkOb6Ux31cMjk2xBpgH4cJt5/z+ELKlQiSrVKw4riUf38TCPPBm1p9c2EL5YyUNKdZuls4iAwWbRYlqqWKzN3LCYxABU7Is1U2m4L1se+v+8xxrQVVa5aGpFp1aSaJZgGGv2iF8FjyIIbe131DlIxAGPXCxqs3T3Tl9PTspB8ioandfeN3ZwwtDG/mwD0HcKT1U7P2W4IN4e4nZDwzK3rLB4CctfyfxUpABxBfiUildMFevICCFXGluPF1JoxOCPNpxmeE4uVOM8j/CVWamjGzXJOytPMlxWqNIt5o4dQxWXDBd0D2kNxEg9mS5rUeNNSBWNZ+34jtqZx5CU/Uo9lfTNt5u/nyC6NOUNjCJ1g2zV9sWk9gE1aTGxYsFkueuK0zla8p3pFAG0Gqym/do43RlLPFrR1Sn6N5p9gCFazeRPmkwUFRj1fanBzsKA/ManFvxosN5uVmlflYk4hFI4wtACGW8pbY7rE/Wm2pB8cDxcwP8v5rA+HtaHA3MxVbEGk1Zej4htGIP/YhwMVY+Oe/xnkSV/sc1PBF3YzNfIgtwFcvipS4G0TwMsHg3ETVMM+c/ugG5jB1uimSJVlNJ+NsQah6zzE8hVvXWjLvf6A5vmA5R4A6+ihZTciZZh4ORgJ660GuPVKgyXB77wOk7TfR9clgqguP9nBbDo3YQFuncLNtfnOmHxUCXTsNygbDAZDVGAGUm/ojefTUWWpBmIJNuLPaA6yYcVYSjGD/mAoiL4/WchQM0qbYV8ku8EAAkOPtxrpbaLeJtheTovr8pnFH8BUYaOT0mdSh9mngIk7DwfD+7JAQFWe3Su1CTtLBThr3stkCil5Ur97iFwosvthNJMKUdPAx6rFDTkL+TJteB4a8lzdoWl2UGVJ9GrmkmKtCNNRcC+dWoUnZ4r8ILuinpuJsSSdk3xR2bsGiiysTxxFhkmikm8ynLG9JkCRnqt1kzrhZPuLetLem4ZSwKrkwhF76V/yFgqjTnYr/rOIonsvpvksIkIjYf3cpoVzYdImVYy2W+K4wSZnGd7LPHbWHXmnuO0W/ZH4ELu548joVCZDGFju4R1Mxk3A5n7MJu1eOOjo9DnL1VxzB6tOd9fPg063OzYRxOSgR+M4F061C10h11UKguCQH5uMuu4uodNhp+yrCVXfSdAd/U67qx5T0YyfsT3G6UE67KjknhhjIIg6vRJnUmNImqSNY5sUlMJW3N3NQacq0824YbmlqKKPIs136yxIKMi3GQNORR7mRsZ2PYbcu1cyN9/4LJX0Y9hNFfuHcJXZ7IeN/ARp4MiIXByTgsrSDhK2SdnYqRik8UFEwB4SOkU0g/Z5b1IDtH+bXrpio72OZM/yzpvDP5lt+0tipaH1OBybOw7+exIPW100BudRt+wp1t1dngWZu4/NziB34rKZafrYvuIEgKw2QOPZJAXTzGaTuSFC/dvs9MygyHc2iZHvd7rfrntCFy8MM6MS585WINOLpwcqZ932I2daxcvRuueGQbXVpqXTxIn4SmLLP5pPd7IkJg6UaTmHpuvZafu5b5s4Gj2ZyNSI1A9CZ0SONOyekVAIIaXRM83LzBDXbnS/cwkOnAoYYS3ufLGsJyq2UJwfpOQtOCfOtkYiejHxIbyPOCcTvbH7lF3nLHI66okxNtGZD9SmCyWNnRwVIP3UdyY1D4a9MpsOjzuriejgK+qb8kBoChG4BebOJ0EhLUky1ynNOrON0G0SyjvdWY/y+IFatDNpMVX2PAhS+yV/yfvqVJDa+++BSr1O/n/EDHDse4fkIenMVLxOcL9zaIqPLglu21Jg6Pabo2Sb230RBUmcCUniFHSs3ZocFhVSInGaupTGOzDPfafZjh+abivl/aNBp5pnScbBt6TTFE3c2GDsdC2V70fCdsMkPmreHXZbSQ34idv3Iqft0akfJV6XG3VhJy6W+9GzYnDsqxevIKB7iC9D84yI3Vyi25SCg+hwmAWBd2Q7JJ3upFTXIudT4OJyaqFaU1729sKgY6kFTmM6dDYIQXa4VZ3KcKeuEcvNxKUV1sSXDUJ8rHyk1pJ2BOTQZRimkunGZVyMOuZu9/KyB5WL3LEpEuch4Dt16+6lEhspJoG3X/SAdOV7f9HU3cwDotg7qjf8Vxwui8+bniURpKeZ1PbS7oQ4Z4ewoz5lJtmcBc7kITFpQ+5fy/cD82Wzmzs+SKg63c2sc1AxLdboJK2Lbf7IyCmRuwOSe4MDt06ddmZ8KN59VL+TNLBVGzm519CEzwKDZv2k8zL0uq1WESgyn7mDvUJ8tJ2SwEcikk0isU7pn8kYJZMYd/6M6x/Z+QnMA899jrTT+oqV2WBM5+Id6qShA3UdeSX2nYZP1EkEZ86wyuUhJkLkMg1X+cRO9DSwrCRxSSOf3D5nEDpeEiE9cJ5LoR5gQd3v3Oqc51TgxNijrjL1D+559r2g21JSNxnspI1841FJwsYFmdAkdwNdT5OVl5SDezEzlwmP179LfpLY4lTm/Tx+Hj+Pn8fP4+fx8/h5/Dx+Hj+Pn8fP4+fx8/h5/Dx+Hj+Pn8fP4+fx8/h5/Dx+Hj+Pn8fP4+fx8/h5/Dx+Hj+Pn8fP4+fx8/h5/Dx+Hj+Pn8fP4+fx8/h5/Dx+Hv+h4/8HTkO6LNYGcZ4AAAAASUVORK5CYII="
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "56bf6806",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:46:12.281564Z",
     "iopub.status.busy": "2026-10-24T22:46:12.281454Z",
     "iopub.status.idle": "2026-10-24T22:46:12.284568Z",
     "shell.execute_reply": "2026-10-24T22:46:12.284212Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "GaAs: a = 0.56660 nm, 44.0 atoms/nm^3\n",
      "cube of   11.3 nm:    0.06 million atoms, 1.27e+06 rows of the sp3d5s* + spin Hamiltonian\n",
      "cube of   33.9 nm:    1.71 million atoms, 3.43e+07 rows of the sp3d5s* + spin Hamiltonian\n",
      "cube of  101.7 nm:   46.26 million atoms, 9.25e+08 rows of the sp3d5s* + spin Hamiltonian\n",
      "52 million atoms of GaAs fill a cube of 105.7 nm\n"
     ]
    }
   ],
   "source": [
    "P = nemo.structures.materials.load(\"klimeck2002_sp3s\")\n",
    "GAAS, INAS = P[\"GaAs\"], P[\"InAs\"]\n",
    "a = GAAS.lattice_constant\n",
    "density = 8 / a**3                                   # atoms per nm^3\n",
    "print(f\"GaAs: a = {a:.5f} nm, {density:.1f} atoms/nm^3\")\n",
    "for side in (11.3, 33.9, 101.7):\n",
    "    n_at = density * side**3\n",
    "    print(f\"cube of {side:6.1f} nm: {n_at / 1e6:7.2f} million atoms, \"\n",
    "          f\"{20 * n_at:.2e} rows of the sp3d5s* + spin Hamiltonian\")\n",
    "print(f\"52 million atoms of GaAs fill a cube of {(52e6 / density)**(1 / 3):.1f} nm\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e255457",
   "metadata": {},
   "source": [
    "A cube of 101.7 nm of GaAs holds 46.3 million atoms; 52 million atoms of GaAs would fill a cube of\n",
    "105.7 nm, so the \"(101 nm)³\" of the slide is the same size up to the exact box shape and its\n",
    "material content. Either way the Hamiltonian has about $10^9$ rows: no dense method can touch\n",
    "it, and lecture 21.4 explains how NEMO 3-D finds its eigenstates.\n",
    "\n",
    "## 2. The multi-scale chain\n",
    "\n",
    "![Slide 6: NEMO 3-D multi-scale modeling](attachment:slide_006_crop.png)\n",
    "\n",
    "*Slide 6: the NEMO 3-D flow. Atom positions (about 10–50 million atoms) are constructed and relaxed;\n",
    "strain gives a piezoelectric potential; the valence electrons (0.5–10 million atoms) are described\n",
    "by sp3d5s\\* tight binding with spin–orbit coupling, with external electric or magnetic fields, and the\n",
    "single-particle states give optical and electronic properties; electron–electron interactions among\n",
    "a few states are added self-consistently (Poisson + LDA) or with Slater determinants. Right: an InAs\n",
    "dot (red) in an InGaAs alloy, the bimodal bond lengths of InGaAs, an emission wavelength against\n",
    "composition compared with experiment, and Coulomb diamonds of a single impurity.*\n",
    "\n",
    "The chain is sequential, each step feeding the next:\n",
    "\n",
    "1. **Geometry construction.** The dot's shape, size and composition are guessed from what the\n",
    "   experimentalists report or from micrographs (height, width, alloy concentrations around it).\n",
    "2. **Atomistic relaxation.** A valence force field (lecture 21.2) moves every atom to minimize the\n",
    "   elastic energy; the strain is a result, not an input. The relaxation domain is large (10–50\n",
    "   million atoms), because strain is long-ranged.\n",
    "3. **Strain and piezoelectric potential.** The local strain follows from the relaxed bonds, and from\n",
    "   it the piezoelectric polarization and its potential, which enter the Hamiltonian as a\n",
    "   perturbation.\n",
    "4. **Hamiltonian construction.** The relaxed positions are frozen; every atom contributes its\n",
    "   orbitals, with couplings that depend on the bond lengths and directions (lecture 21.3).\n",
    "   The electronic domain can be smaller than the mechanical one (0.5–10 million atoms).\n",
    "5. **Single-particle states.** A few eigenstates in the gap region are computed (lecture 21.4) and\n",
    "   give optical transitions or transport properties.\n",
    "6. **Many-body interactions** for a few electrons: self-consistent potentials, or Slater\n",
    "   determinants for genuine electron–electron interaction (e.g. the Coulomb diamonds of single\n",
    "   phosphorus or arsenic impurities in silicon, discussed later in the course).\n",
    "\n",
    "The cells below run steps 1–5 on a small InAs pyramid (base 9 nm, height 3.5 nm, on a one-monolayer\n",
    "wetting layer) in a GaAs box of 18 × 18 × 10 cubic cells (10.2 × 10.2 × 5.7 nm), periodic in all\n",
    "directions. To keep the run short the electronic model is sp3s\\* (5 orbitals per atom without spin)\n",
    "from the NEMO 3-D paper (Klimeck et al. 2002); the full sp3d5s\\* with spin has 20."
   ],
   "attachments": {
    "slide_006_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "63bc346e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:46:12.285731Z",
     "iopub.status.busy": "2026-10-24T22:46:12.285667Z",
     "iopub.status.idle": "2026-10-24T22:46:12.291692Z",
     "shell.execute_reply": "2026-10-24T22:46:12.291452Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25920 atoms, 2220 In, 10740 Ga, 12960 As\n"
     ]
    }
   ],
   "source": [
    "timing = {}\n",
    "t0 = time.perf_counter()\n",
    "lat = nemo.structures.lattice.from_material(GAAS)\n",
    "NXY, NZ, BASE, HEIGHT = 18, 10, 9.0, 3.5\n",
    "cell, basis, sub = lat.conventional, lat.conventional_basis, lat.conventional_sublattice\n",
    "g = np.stack(np.meshgrid(np.arange(NXY), np.arange(NXY), np.arange(NZ), indexing=\"ij\"), -1).reshape(-1, 3)\n",
    "X = ((g @ cell)[:, None, :] + basis[None]).reshape(-1, 3)\n",
    "sublat = np.tile(sub, len(g))\n",
    "species = [lat.species[i] for i in sublat]\n",
    "c0 = np.array([NXY * a / 2, NXY * a / 2, 1.5])                  # centre of the pyramid base\n",
    "zr = X[:, 2] - c0[2]\n",
    "half = BASE / 2 * (1 - zr / HEIGHT)\n",
    "in_pyr = (zr >= 0) & (zr <= HEIGHT) & (np.abs(X[:, 0] - c0[0]) <= half) & (np.abs(X[:, 1] - c0[1]) <= half)\n",
    "wet = (zr >= -a / 4 - 1e-9) & (zr < 0)\n",
    "for i in np.flatnonzero(in_pyr | wet):\n",
    "    if species[i] == \"Ga\":\n",
    "        species[i] = \"In\"\n",
    "periods = np.diag([NXY * a, NXY * a, NZ * a])\n",
    "ideal = Structure(X, species, periods, sublat, lat)\n",
    "timing[\"1 geometry\"] = time.perf_counter() - t0\n",
    "print(f\"{ideal.num_atoms} atoms, {species.count('In')} In, {species.count('Ga')} Ga, \"\n",
    "      f\"{species.count('As')} As\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "18c9c87e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:46:12.292714Z",
     "iopub.status.busy": "2026-10-24T22:46:12.292657Z",
     "iopub.status.idle": "2026-10-24T22:46:13.795126Z",
     "shell.execute_reply": "2026-10-24T22:46:13.794665Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "L-BFGS iterations 235, largest force left 8.7e-07 eV/nm, largest displacement 0.102 nm\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tr(eps) on In atoms of the pyramid: mean -9.31 %  (InAs squeezed toward the GaAs lattice: (a_GaAs - a_InAs)/a_InAs = -6.48 % per axis)\n",
      "tr(eps) on Ga atoms of the barrier: mean -2.224 %, range -4.47 to -0.77 %\n"
     ]
    }
   ],
   "source": [
    "# Martin's Keating constants (alpha, beta in N/m), with the ideal bond lengths of the electronic model\n",
    "KEATING = {(\"Ga\", \"As\"): (41.19, 8.95, np.sqrt(3) / 4 * a),\n",
    "           (\"In\", \"As\"): (35.18, 5.50, np.sqrt(3) / 4 * INAS.lattice_constant)}\n",
    "t0 = time.perf_counter()\n",
    "relaxed = M.relax(M.Keating(ideal, parameters=KEATING), tol=1e-6)\n",
    "timing[\"2 relaxation (Keating)\"] = time.perf_counter() - t0\n",
    "moved = np.linalg.norm(relaxed[\"positions\"] - X, axis=1)\n",
    "print(f\"L-BFGS iterations {relaxed['iterations']}, largest force left {relaxed['max_force']:.1e} eV/nm, \"\n",
    "      f\"largest displacement {moved.max():.3f} nm\")\n",
    "\n",
    "t0 = time.perf_counter()\n",
    "strain = M.atomic_strain(ideal, relaxed[\"positions\"],\n",
    "                         lattice_constants={(\"In\", \"As\"): INAS.lattice_constant, (\"Ga\", \"As\"): a})\n",
    "timing[\"3 strain\"] = time.perf_counter() - t0\n",
    "sp = np.array(species)\n",
    "tr = strain[\"hydrostatic\"]\n",
    "inner = strain[\"valid\"] & (sp == \"In\") & in_pyr\n",
    "outer = strain[\"valid\"] & (sp == \"Ga\")\n",
    "print(f\"tr(eps) on In atoms of the pyramid: mean {100 * tr[inner].mean():.2f} %  \"\n",
    "      f\"(InAs squeezed toward the GaAs lattice: (a_GaAs - a_InAs)/a_InAs = \"\n",
    "      f\"{100 * (a - INAS.lattice_constant) / INAS.lattice_constant:.2f} % per axis)\")\n",
    "print(f\"tr(eps) on Ga atoms of the barrier: mean {100 * tr[outer].mean():.3f} %, \"\n",
    "      f\"range {100 * tr[outer].min():.2f} to {100 * tr[outer].max():.2f} %\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "99cb3b88",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:46:13.796209Z",
     "iopub.status.busy": "2026-10-24T22:46:13.796139Z",
     "iopub.status.idle": "2026-10-24T22:46:20.105121Z",
     "shell.execute_reply": "2026-10-24T22:46:20.104679Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H: 129600 rows (5 orbitals per atom), 2410560 non-zeros (19 per row), 1.4e-04 filled\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "electron level 1.2775 eV, weight on In atoms 0.30\n",
      "electron level 1.4494 eV, weight on In atoms 0.31\n",
      "electron level 1.4593 eV, weight on In atoms 0.24\n",
      "1600 Lanczos steps; bulk GaAs conduction-band edge of this model: 1.4173 eV\n"
     ]
    }
   ],
   "source": [
    "t0 = time.perf_counter()\n",
    "dotmat = nemo.structures.materials.alloy(GAAS, INAS)\n",
    "relaxed_s = Structure(relaxed[\"positions\"], species, periods, sublat, lat)\n",
    "sk = nemo.models.tb.SlaterKoster(dotmat, spin=False, strain=\"bond_length\", bond_tolerance=0.15)\n",
    "H = sk.build(relaxed_s).at(np.zeros(3))\n",
    "timing[\"4 Hamiltonian\"] = time.perf_counter() - t0\n",
    "print(f\"H: {H.shape[0]} rows ({H.shape[0] // ideal.num_atoms} orbitals per atom), {H.nnz} non-zeros \"\n",
    "      f\"({H.nnz / H.shape[0]:.0f} per row), {H.nnz / H.shape[0]**2:.1e} filled\")\n",
    "\n",
    "t0 = time.perf_counter()\n",
    "res = lanczos_window_eigenstates(H, (0.5, 1.6), tol=1e-8, count=3)\n",
    "timing[\"5 eigenstates (Lanczos)\"] = time.perf_counter() - t0\n",
    "norb = H.shape[0] // ideal.num_atoms\n",
    "on_in = np.repeat(sp == \"In\", norb)\n",
    "for e, v in zip(res[\"energies\"], res[\"vectors\"].T):\n",
    "    p = np.abs(v)**2\n",
    "    print(f\"electron level {e:.4f} eV, weight on In atoms {p[on_in].sum() / p.sum():.2f}\")\n",
    "e_gaas = np.linalg.eigvalsh(nemo.models.tb.SlaterKoster(GAAS).build(bulk(lat)).dense(np.zeros(3)))\n",
    "print(f\"{res.attrs['steps']} Lanczos steps; bulk GaAs conduction-band edge of this model: \"\n",
    "      f\"{e_gaas[e_gaas > 0.5].min():.4f} eV\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "31d93707",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:46:20.106613Z",
     "iopub.status.busy": "2026-10-24T22:46:20.106524Z",
     "iopub.status.idle": "2026-10-24T22:46:20.239432Z",
     "shell.execute_reply": "2026-10-24T22:46:20.239012Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 geometry                   0.00 s  ( 0.0 %)\n",
      "2 relaxation (Keating)       1.26 s  (16.2 %)\n",
      "3 strain                     0.24 s  ( 3.0 %)\n",
      "4 Hamiltonian                1.25 s  (16.0 %)\n",
      "5 eigenstates (Lanczos)      5.06 s  (64.8 %)\n",
      "total                        7.80 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x440 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "total = sum(timing.values())\n",
    "for k, v in timing.items():\n",
    "    print(f\"{k:26s} {v:6.2f} s  ({100 * v / total:4.1f} %)\")\n",
    "print(f\"{'total':26s} {total:6.2f} s\")\n",
    "\n",
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 4))\n",
    "sel = strain[\"valid\"] & (np.abs(X[:, 1] - c0[1]) < a / 4)          # one (010) slice through the dot\n",
    "sc = a1.scatter(X[sel, 0], X[sel, 2], c=100 * tr[sel], s=10, cmap=style.SIGNED, vmin=-10, vmax=10)\n",
    "fig.colorbar(sc, ax=a1, label=\"tr ε (%)\")\n",
    "a1.set(xlabel=\"x (nm)\", ylabel=\"z (nm)\", title=\"tr ε on a (010) slice through the dot\", aspect=\"equal\")\n",
    "a2.barh(list(timing)[::-1], list(timing.values())[::-1], color=style.OPEN_NEMO)\n",
    "a2.set(xlabel=\"wall time (s)\", title=f\"{ideal.num_atoms} atoms, sp3s*, 2 threads\")\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3db25864",
   "metadata": {},
   "source": [
    "The chain behaves as the lecture describes. The InAs is compressed by about 9 % in volume (the\n",
    "trace of the strain tensor, $\\mathrm{tr}\\,\\varepsilon = \\varepsilon_{xx}+\\varepsilon_{yy}+\n",
    "\\varepsilon_{zz}$, measured from the InAs lattice: −9.31 % on average over the pyramid's In atoms).\n",
    "The GaAs around it is strained too, with $\\mathrm{tr}\\,\\varepsilon$ between −0.77 % and −4.47 %: in\n",
    "this small periodic box the dot and its wetting layer press on the barrier everywhere. Strain is\n",
    "long-ranged, which is why NEMO 3-D's mechanical domain is larger than its electronic one. The Hamiltonian is\n",
    "extremely sparse: each row couples an orbital only to the orbitals of its own atom and its four\n",
    "neighbours. The pyramid binds one electron level, at 1.2775 eV, 140 meV below the GaAs conduction band edge\n",
    "(1.4173 eV), with 30 % of its weight on the In atoms; the next two levels found, at 1.4494 and\n",
    "1.4593 eV, lie above the band edge: they are states of the GaAs in the finite box, not bound to the\n",
    "dot.\n",
    "\n",
    "The eigenvalue step dominates the time, followed by the Hamiltonian and the relaxation. In NEMO 3-D\n",
    "each step was parallelized, and all of them scale linearly with the number of atoms: the\n",
    "relaxation and the Hamiltonian because each atom has four neighbours, the Lanczos solver because it\n",
    "only needs products of $H$ with vectors, whose cost is proportional to the number of non-zeros.\n",
    "\n",
    "![Slide 4: end-to-end wall time](attachment:slide_004_crop2.png)\n",
    "\n",
    "*Slide 4 (bottom): end-to-end NEMO 3-D wall time against system size on 8 to 128 cores; 52 million\n",
    "atoms took about 33 hours on 128 cores, on a straight line.*\n",
    "\n",
    "A rough check of that number: the time per non-zero of one product $H\\mathbf{v}$, measured here,\n",
    "times the non-zeros of the 52-million-atom sp3d5s\\* + spin Hamiltonian (20 rows per atom, each\n",
    "coupled to 20 orbitals on 5 atoms), times the number of products of a Lanczos run with its second\n",
    "pass for the eigenvectors (here about 2 × 1000; NEMO 3-D ran 1000–5000 steps), divided by 128\n",
    "cores."
   ],
   "attachments": {
    "slide_004_crop2.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0107f3b9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:46:20.240517Z",
     "iopub.status.busy": "2026-10-24T22:46:20.240424Z",
     "iopub.status.idle": "2026-10-24T22:46:20.272733Z",
     "shell.execute_reply": "2026-10-24T22:46:20.272432Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.60 ns per non-zero here; 1000 steps x 2 passes, 52 M atoms on 128 cores: 0.3 h of products\n",
      "0.60 ns per non-zero here; 5000 steps x 2 passes, 52 M atoms on 128 cores: 1.4 h of products\n"
     ]
    }
   ],
   "source": [
    "v = np.random.default_rng(0).standard_normal(H.shape[0]) + 0j\n",
    "t0 = time.perf_counter()\n",
    "for _ in range(20):\n",
    "    w = H @ v\n",
    "t_nnz = (time.perf_counter() - t0) / 20 / H.nnz\n",
    "nnz_52m = 52e6 * 20 * 5 * 20\n",
    "for steps in (1000, 5000):\n",
    "    hours = t_nnz * nnz_52m * 2 * steps / 128 / 3600\n",
    "    print(f\"{1e9 * t_nnz:.2f} ns per non-zero here; {steps} steps x 2 passes, 52 M atoms on 128 cores: \"\n",
    "          f\"{hours:.1f} h of products\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30511942",
   "metadata": {},
   "source": [
    "On today's cores the products alone would take 0.3 to 1.3 hours on 128 cores, 25 to 100 times less\n",
    "than the 33 hours measured around 2007. The estimate leaves out the communication between the cores,\n",
    "the relaxation of a mechanical domain larger than the electronic one, the Hamiltonian construction\n",
    "and the storage of eigenvectors, and a core of 2007 was several times slower than the one used here.\n",
    "It is not a reconstruction of the old run; what it shows is the lecture's point that the cost is a\n",
    "fixed amount of work per non-zero, so nothing in the chain grows faster than the number of atoms.\n",
    "\n",
    "## 3. InGaAs: bimodal bonds, not a virtual crystal\n",
    "\n",
    "In a macroscopic picture, In$_x$Ga$_{1-x}$As is an alloy with an average lattice constant that\n",
    "interpolates linearly between GaAs and InAs (Vegard's law), and every cation–anion bond would have\n",
    "the length $\\sqrt{3}\\,a(x)/4$. Atomistically this is wrong: the In–As bonds stay close to the InAs\n",
    "bond length and the Ga–As bonds close to the GaAs one; every In pushes its As neighbours away and\n",
    "every Ga pulls them in. The distribution of bond lengths is bimodal, and the alloy is not a crystal\n",
    "in the strict sense. The valence-force-field relaxation produces this without any extra input.\n",
    "\n",
    "Below, periodic supercells of 6 × 6 × 6 cubic cells (1728 atoms) with the cations drawn at random\n",
    "are relaxed with Keating's force field, letting the period \"breathe\" (NEMO 3-D's periodic boundary\n",
    "condition) so that each composition finds its own lattice constant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "bed62389",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:46:20.274016Z",
     "iopub.status.busy": "2026-10-24T22:46:20.273933Z",
     "iopub.status.idle": "2026-10-24T22:46:22.298944Z",
     "shell.execute_reply": "2026-10-24T22:46:22.298499Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9 compositions relaxed in 2.0 s\n",
      "    x   a (nm)  Vegard a  In-As (nm)  Ga-As (nm)  Vegard bond\n",
      "0.000   0.5666    0.5666         nan      0.2453       0.2453\n",
      "0.125   0.5710    0.5715      0.2577      0.2458       0.2475\n",
      "0.250   0.5755    0.5764      0.2584      0.2463       0.2496\n",
      "0.375   0.5802    0.5813      0.2592      0.2468       0.2517\n",
      "0.500   0.5850    0.5862      0.2598      0.2473       0.2538\n",
      "0.625   0.5900    0.5911      0.2604      0.2477       0.2560\n",
      "0.750   0.5952    0.5960      0.2611      0.2481       0.2581\n",
      "0.875   0.6004    0.6009      0.2617      0.2485       0.2602\n",
      "1.000   0.6058    0.6058      0.2623         nan       0.2623\n"
     ]
    }
   ],
   "source": [
    "def bond_lengths(s, positions, box):\n",
    "    # cation-anion bond lengths and the cation species of each bond, in a periodic box\n",
    "    wrapped = np.mod(positions, box)\n",
    "    wrapped[wrapped >= box] = 0.0\n",
    "    pairs = cKDTree(wrapped, boxsize=box).query_pairs(0.29, output_type=\"ndarray\")\n",
    "    d = positions[pairs[:, 1]] - positions[pairs[:, 0]]\n",
    "    d = np.linalg.norm((d + box / 2) % box - box / 2, axis=1)\n",
    "    spc = np.array(s.species)\n",
    "    cation = np.where(spc[pairs[:, 0]] == \"As\", spc[pairs[:, 1]], spc[pairs[:, 0]])\n",
    "    return d, cation\n",
    "\n",
    "\n",
    "base = supercell(lat, 6)\n",
    "xs = np.linspace(0, 1, 9)\n",
    "stats, a_alloy, hist = {\"In\": [], \"Ga\": []}, [], {}\n",
    "t0 = time.perf_counter()\n",
    "for x in xs:\n",
    "    s = random_alloy(base, \"Ga\", \"In\", x, seed=1)\n",
    "    r = M.relax(M.Keating(s, parameters=KEATING), tol=1e-6, cell=True)\n",
    "    box = np.diag(np.asarray(r[\"periods\"]))\n",
    "    d, cat = bond_lengths(s, r[\"positions\"], box)\n",
    "    a_alloy.append(box.mean() / 6)\n",
    "    for c in stats:\n",
    "        stats[c].append((d[cat == c].mean(), d[cat == c].std()) if (cat == c).any() else (np.nan, np.nan))\n",
    "    if abs(x - 0.5) < 1e-9:\n",
    "        hist = {c: d[cat == c] for c in stats}\n",
    "stats = {c: np.array(v) for c, v in stats.items()}\n",
    "a_alloy = np.array(a_alloy)\n",
    "print(f\"9 compositions relaxed in {time.perf_counter() - t0:.1f} s\")\n",
    "print(f\"{'x':>5s} {'a (nm)':>8s} {'Vegard a':>9s} {'In-As (nm)':>11s} {'Ga-As (nm)':>11s} \"\n",
    "      f\"{'Vegard bond':>12s}\")\n",
    "a_veg = (1 - xs) * a + xs * INAS.lattice_constant\n",
    "for i, x in enumerate(xs):\n",
    "    print(f\"{x:5.3f} {a_alloy[i]:8.4f} {a_veg[i]:9.4f} {stats['In'][i, 0]:11.4f} {stats['Ga'][i, 0]:11.4f} \"\n",
    "          f\"{np.sqrt(3) * a_veg[i] / 4:12.4f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b076e2a0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:46:22.300080Z",
     "iopub.status.busy": "2026-10-24T22:46:22.300009Z",
     "iopub.status.idle": "2026-10-24T22:46:22.464822Z",
     "shell.execute_reply": "2026-10-24T22:46:22.464394Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mdL8TsDNm+6675+BuGAdykiC8+0cjLG3wT04Q3btzT12XjKDb92/i/pO7an87demoglFi5JgRmLvQr3aSZBhrvksDOxElGcBHTh7G1VuXcfbi6XB/vePFC/pnYVjb+juvuy4JQl+4eh437l5X7zlNfVJNpj4RxUzMfIqEAyz/Kb+6xSt1z6rokqwAqSETGKmPIsWfpciyDGvxz/+HuJxdkRonkj6rOQtTtlwZtG7b6rfadPnSFe2yrj26qDMTmiK+I4eFnD0Smj4K6z5qt1W+LPLl9/1xKz9WpQC00NRXCEvbZQibRveeXdWZFjnL07Z9G1y7ek27jv96MWXLl0HGTBm1X/rPnj1X11u1bqEOSAsUzK9dV/Pj/E8Ft98yhl7SrSUwk+GvDGqGEjnTa2FhqVLA5WyehodO8eVDhw6rs0y65EeB7G9YXp+Bg32DJYXzFYW3j3eo9ymkdottW/1mfKtctZL6K8GnFctWaofeSUBHZM+RXaWrP33yFP8bPU4Nu5LXqXHTRsHWnNDQndHN/Fd2z5+Ss5BrVvkOE5SU/NZt/P4n/ZNCuFK/SYqPi46dO6Bh44ba++W9KBkEomq1Kpg5d4baftuW7VWgR4JWMjQvS9YsQT7H7/7fBSay/3/C+vqa62SBff70OdT7RUThY/Cwwbh44aLKaNBkH/cb0Fc77Cc0gfI/JRM5aGgySnVr/Wjofk8GxtjISAUV5PNGMqbks3f2zDlqBlkxfcpMNGvRTPs5GJa2S6mEcWMnqKxezcmz3/1cFhL0M7fw/Q7r2r2zKrSumck1NOR4STKc5CLfhZpMmHYdfSeeCOwzWr4/5ftcSDa2BIyEfJdXr1lNHbNIn0mWjBzPSNBO2KWyQ+26vuvKcKsyZUvjwL6DEdo/moztsLTBPwnKyUkZyb6SkyTSV+kzpFdDx/4b1P+3M3fadWyHjBn/itTX+0+E5XX3nx3Yul1rbfBYalVq6rK9f/suzH1ARNEHg08RTIoH+6eZnlS+nJInTx7o4wyCGdIjPzA1P65lG5ZWljA0MFTDXOQsT2A/8OUHnmbstiYg9bttkqCAhqVOQcGQimaGpY9+Zx+F7hAz3RpVmvXD0nbdaWR1i7VL4UUNKZzoX4oUKbTXNZknanlK3/Rm3eFaPmEIxgQnuP2WrBVJk7904TK27tyMcWPGq6GOW3b4vh/kQFkT0Hj0wPdgS8gPdjkzK0EPuYTH6xMWIbVbzqRJfR8NCYzKQaZkuWjSuiXY+Pr1G6RKZYfe/Xrh+3cX7N+7X9Wm0H0eGZKmCVIFRYpla4TH/gk5gH33zvfAuGr1KkiR0u+94/9AuFXzNrhx/Ya6LWeW/aepS4F1jSbNG6v3gVzkjKQEn+SHlWTCBRd8Cs/XNbL/f8L6+ko9LN26MEQUuWSoa8VKFVXwSf0fGhiomnGhEV41nyQQJJ8RMjRcalHJ55wmMCA19TSkVl1I38GDhg7U3pbPXvmMXrNyrQrOSD1LGaasO6wvtNq2aocH9x9qtyuBBPk81+y/968hfqGl+xksn/EaMlQtNFLoFILXZHjJkHFNplh8newZH2+fANvW/T4I7Dvhm87xhu5xWlDHauHdPyKsbQjMzDkzVC3Tc+fO681MK99xUhdRM7HInx4vh+fr/RN+AVjJZvtTYXnd/UudOpX2ukyapPE7rycRRR884o5gumfVNJInt1FZBfLlKGPR/Y+5lrNtwY27PvxrqIl86R86dkAFD+SA6e9seQI96yMBl4H/DQ4wXXyx4kW1P3bD0ib5ApE6DeLF85eqqKOQopzh1Udh3cfAthVYH4al7Zo+8V33hfZHu8yupqFbZyC4/dE9c+r/7Gp4CG6/5UBa6nXVq9UAdWrUU0GbJcsXqawSUblKZWzZtFVbXFMKrlpbW6NCxfLqMn3qDMycNitcXh//du7YpTeLnoacFevdt1ew7ZZgixzQa9StWS/AdqSvd27bgW7/dlOzpsiQsHETx6paZlIzZMrEKSrwNnzICNSpVyfYuj82yf1+fOjO+PInVixbob0uRbEDI7UzWjRppYbOCfmBI2fYA8ta0nD7NTxSaOpt+S73neEyKOH1ukbF/09YX1/dwvDSViKKXHdu38HC+Yu0t+WzplePPmrSkZAyQ8Kr5pN8X0oQ4NzZ8+o4R7JdNOUI7t/zzdgQmuHCUuNIkymZ0MxMW1NQN2ilIbXkpD6d/0BNWGa7s7d/rQ2sSLukbySLRk7E1KlRF79DPo/9rr8MdYBNI34gr41BfL9lgX1GS6BBThxIH0uNH93+0v9OSA4LC3Ptuq/t32iLdQd2rBYR/SPC0obg3nvLVy9Tj5WyFo8ePcbAfoPUCSepzbh5u++JtLBMzhJY3//p6607A7dM9qHx4FctNF1hnUgmLK97cPsaWRPYEFHEY82nKFBZ58xe9y7/qpkw5ENYhqDIGPMSRUqp2VCCkiiR79kl+RCXx8msVoP+Gxzkj0OZJlgKBssXwJj/jVIHO3JGr0/Pftq08rC0qVSZktp15ayOTBN/4vhJvR/Sfyqs+xhaYWl75Sq+w7jEiKGjcOfOXZUarJmJQ1TSWSc6k7O7OXJkVwfCMt2v5uBayJBHmcFFSIZTo7qNVVBIDlik7zW1wCLi9ZGaPqVKlwxwkSKlIbV7+xa/IXdWVpZ6dT5klkYNTZ2iIQOHqiGlx44cU/spPxo0WTQS2Pr82W9YXWAkcKnJMNOkf+uSYIZkXukOV5Ptaupl6QaBhLyfNBlnMkwhsGG2Hz86oFG9JtrAk8wyJFmMunW4NIVtc/2dU/s4GeohNdqkJtbSRUu1y/8OYThLWF9XGbIq5OBcaspJezTrRvb/T1hfX81rKLU3NMP8iChyyOehDOuWYI78QJWhSEKG5OrW2onomk9CUwdHc1xw9849lQF69Yrf57PmM0ImKJGZ6uQycdxEveOsXj164+CBQ+pzU4If3Tt3137uyxAsOamjO9udXLp26h5s2xLp1J2Sz1YJusnMYVJH53dJ7UsptSDHP6NHjNEu9z9LWniSmd3khKeQ2l5jRv1P9dPWzduwf+8BtVwylosWL6Yy0QoUKqD9XpWsZ1lXhmjJ0OqI7h8RljYERSbckJN3MgGIpg80ZEZa3UCXhgzTk+CWfJdq6iT9qZBeb93MeZmgQ/ZT/gflO92/sLY1LK87EcUNzHyKAu06tMPpk2dw4fwFdaDVuL7fgY+QH0xSkDIocgZ/wv8mqh+IbVq20zsz4P+Mk0xBq5katU271mjRuoU6G/e/MePUUJwF8xaia/cuYWpT2/Zt1XYloCXbqFqxmnad8BKWfQyLsLS9Xcf2apjSpYuXVb9Ur6Rfm0ZqZmmCNtHd/LkLVB2f/gP6YuWK1WqWITlDqCkkPX/RPHTt1E0dVEmNnZ7degV5wB/W10cy79Rwhh8++PnjpzpQSZQ4kQosSW2P4Op7BNVuOZN49Ogx7fDAE2ePa2fZ0ShfuqI6yJEaQLdv3VbDrLZu3qqyu/yTwE1ohkNIrQeZ4lgObqX4uu5sMz26/BvgoFTqmGim1NZMRayxfMkKvToOgZH3neyDhqTu66bvixNnjqkMJalJsXrlWpVNIJeaVX1rK2gUL1EMpcuWDtf/O6nDsH/fAZWBVqWC7/+SDHFr16FtpP//hOX1lX25fNG3/lup0qU4cw5RJJMai5p6buMnjVNZtteuXFOzic2dNQ8lS5VA/gJ+tYMiquaTqFGrOg4fOqxm2pQMqGo6E2NIVtL4yeND3IZ8Zsqxlu5U9Bry43r8pJC3ERgZQla6bCmcOHZSTa6h+Rz9k+MtydyS2cf8nwiSGjsRacy40WhYr7E6QbNi6Qp10ZCsonETx2kzyQYNGYhG9RuryTiWLVmuLpr91v0uioj+0QhtG4Li6PglQNa4RqVfE6No3stywkwyduW7slSxMmr53oN7kCNn9j/ej5Be7xo1q6taj3KST2ZO1syerMlY0vU7bQ3L605EsR+DTxFAZsLQDCfRTEOqS4Z+yBTjMtRJfri9fP4ChgkSqKKGBQvmR936dbWPC2xbUmhY0mQlO0WG/6RNm0YFlebOmouPHxy0s2hInZZ5c+arx8vwuv4Dfc8stu/UTn1pyNm99Ws3oFLlSmqYU2jbJF8SW7ZvwpRJU9VMdTLWXwIIUsx42uQZvm31FwgIax+Fdh+D25YMw/G/PCxtl9dp7cY1qjjjwf2HVO0gqXuVIeNfqo6O7sFDYM8lZDYPzXJDwwTaH/KaZf7HwAdVs0Kzvo2NTZj3W9otM4H1H9hPZc7IGaZF8xepaYQ1M5QkTZYUazasxtHDx7B3917cv/9AnUWUosw2yZMjT57cqFSloiriHNbXZ+O6jViyaJlKy5eLDKFr37Et2ndqH+x+B9duM7OEsDC30GZu+Q88Canxs3jBEnX95PFTakiWZL4d2HtA/eiR7BjpTzkrF9SQN/9kJkEJPsnZbPmRJAUzNSwsLQIdRqahO4udBOSuXL7yK0vLBhUrBT58RFN3KziaekXyuktgTs7YSzafpsiq1LuSIuzNWjQNMXU9LK+rGPW/USqQKEE2TW0HTfZUZP//hOX1vXjhkrbWlhTPJaLIc+7MOXWyS/6P5fNbAk9iwpTxaFy/qTpZIUHwNRvWBDsUOjzNmD1dBegleCSfVfJ5XbhIIXTu2gm2ujWOjI20nz/yvakxdvwYlbWrjp9evFSz48l3QqFCBVWgXbeUgWa2OxGa2e5mzZ2J6VNm4NzZc/Dy9EL2nDlQq05NDBs0PEA2SlDks1vznPKdKlldcpJCZj0rWLigKvSuqdmku658NqtliQMu0x2Onsw8aaDHJrrZPnKSRGajkxMvZ06fVcWo5btcsn5bt22tF7yQoZAbNq/HzOkz8fzZCxXwKFGiOFxcXbBj60694WJh6Z/A9i0oYWlDYNvds3+XOiFy5sxZvHppjx8+PirLSDJ+db93ZP3FyxaqQJXM5qYZNm/0q85RSG0O9PUKw+stvw/Wb16HGdNm4tWLl+p22fJlVSF3TV1NTVt+p61hed2D2teg3n9EFPPE+xkRBWiIiGKpTu07q2BK4SKFsWGL70x1FLP06Povdu/co+q4SI07IiIiIiKKWKz5REQUBoOHDoKdXUp1djuwmggUvUlGmAzvkbOoQ0cMiermEBERERHFCcx8IiIiIiIiIiKiCMPMJyIiIiIiIiIiijAMPhERERERERERUYRh8ImIiIiIiIiIiCIMg09ERERERERERBRhGHwiIiIiIiIiIqIIw+BTOPLx8YHjZ0f1l4iIiIh4nEREREQMPoWrr05f0bvzf+pvRHn15HWEbZvY39EB3+Ps87iA73P2d1wUGcdJ0UFc+f+OK/sZl/aV+xn78DWNfV7F4M8jZj7FMD9+/IzqJsQp7G/2eVzA9zn7PLbje5z4fuP/FT9D+FkZF78T4sq+xpX9jOn7yuATERERERERRYnRo0erCxHFbgw+ERERERERUZQ4dOiQuhBR7MbgExERERERERERRRgGn4iIiIiIiIiIKMIw+ERERERERERERBGGwSciIiIiIiIiIoowhhG3aSIiIiIiIqKgnThxgt1DFAcw+ERERERERERRwtCQP0mJ4oJI/U8/e/osdu/aA1dXVxQuUhiNmjSEgYFBkOs7Ojpi66ZtuH/vPpIkTYJyFcqiRMkSAdb7/v071q/ZgDt37sDW1hat2rRESruUYdrO/0aPw4sXL/WWFS1WBG3atQ6XfSciIiIiIiJ9c+fOVX+7devGriGKxSKt5tOWTVvRukVbJLdNjgIF8mPOzDno/W+fINd/8vgJalatDQcHBxQvWRwWFhbo3L4rpk2Zrrfe2zdvUaVCNRw5clQFlOxSpUS71h3g7u4Rpu1cOH8BiRMlQv2G9bSXAgXzR1BvEBERERER0fr169WFiGK3SMl88vb2xvixE9Dt367o1aenWpYtRzbUr90Qbdu3RZ68uQM8RoJUh44dQMKECbXLkiZLirGj/oduPbrC2NhYLRs6aBgsLC2wdsNqbcpmnXp1kCCBYZi2IzJmzohKlStGYE8QERERERH5WtVza5R0RcuZ9UK13pKFS3Dp0hUsWrogXJ53+9YdGDJwKGbNnYnyFcuFyzaJKGaIlMynWzdv4/Pnz6hStbJ2Wf4C+VVg6MTxwAvMJU6cWC9gJGR9Ly8vuLu5q9sfPzrg+LETaNO2ld5YYXmsZjhfaLajcfTwMXTr3ANjRo7FuTPnwmHPiYiIKCr98PkBTxdP9Teu+vHjB65fu4Hbt26HuO6D+w9w/twFeHj4ZpDrkmU3b9xU6/z8+TOCWktE0Ymn/GZy1//N9Cc2bdiMFClTYMvmLeG2TSKKGSIl88ne3l79lQ8aXbYpbGH/6nWoD5xWLF2JPHnzqMwl8fCB78FP2nTpMGHcRDUEL23atGjWoqnadmi3owlS5fo7F7Jmy6pqQ7Vp1Q6du3ZC7769gmyTm6sb3NzctLedvjiFal+IiIgoYrk4ueHc2iu4c/QRvD28YWhsiJzlMqNos/wwS2YaJ7pfjnkWzl+E9Ws34OvXr0iTJjV2798V5PoSnGpQp5H6oXn+8lm94zap29mja08kTpIYLt+/w9zCAstWLkHqNKkjaW+IKDqYPGGKqrcrNXUvXbwMOzs7TJwyHpkyZwrxsW/evMGVy1ewefsmNKzXSP12SmaeTN3n4e6JujXr49XLl8ieMwdGjx2JdOnTRcIeEVGsCj55eniqv6am+gd7ZgkTBnpmLTAybO/O7TvYtssvSu7q6hv46d2jN2rXq40yZctg/74DqFCmIvYc2I206dKGajtiwZL5SJIkibpep15tNQRvUP/BaNCoAVKlsgu0TQf2HMKOzbsDLLd/9g7On10QEeTM7YtHvsE8injs78jHPmefxwVR8T4/Nut8qNYr+28RxHTu3zxwdMY5uDr6nSCSANSNfffw6MJzlOtVFCaJ/Ybd/6l0maNnAMbHxwdOTk5YvW4lVixbqX70BUV+TPbs1gtt2rfG/Dn6w2ucnZ1VZric3Os/sJ8qp9CqWWtVu3PLjs2RsCdEFF14enqq7KXZ82Zh+KhhmDV9NkaPGIPV61eF+Nhtm7ejcNHCquRKtmxZsXvnbrRo3ULd9+WTE7p17YaatWvg/t376jn+G9Q/EvaIiGJV8EnOkgk562ZlZaVd/uWLE9JnSB/i46U4+Lo167Fy7XJkzpJZu1wTLKrXoB569OqurteqUxPlS1XA8qUrMHLMiFBtR3dbGhUrVsB/fQbg7p27QQafKleviFLl/GbNk+j9qEHjkDpDClWHKiLIj5XoepAbG7G/2edxAd/ncaPPTUyvaa97unrC4YWjum6dzgJGCY2098WG75jDc0/rBZ50yXL7i+9QoWvA2XNjmwQJEmDQkIGhWldqaJarUA7FihUNEHw6fPAIXFxc0LFLR3VbSh107tYJLZq0wvNnz0N1LEfR25plgRd7bt62SaS3haK/6jWraes1tWzdAo3rNw3V47Zt2YYu3Tv7bqNGdWzZsk0Fn7Zt24ZG9ZqoxAGZHKpYiWLqQkSxS6QEn7Jnz6b+ynA2mZFOyHC1F89foGnz4L/UZkybiSULl2LFmmWqTpSurFmzqNpOadP7ZTjFjx8fqdKkhoPDp1BvJzBylk8Y/qodFRjThKbqQkREFN01nVxLe/3N/fdY12+nul6hewnYZQt8qHpMIsPwnR2+Y2nHDfDxCr6+042991CuUzHEN4i0SX+jtc0bt+Dhg0eYOGUCLl+8HOB+ORGXJm0aJE3qd6IuV65cv+67x+ATURxjaWWpvW5iaqotQ+Lq6or8uQvqrZs7T26s37xWZV6+fv0GlSpXUsur1aiKcWPH48mTp8iY8S/MnjcTUyZNxYypM1R5lPYd23FYL1EsEynBJzlgyZc/H5YsWoaixYqqgNGqFavVfZWr+n4ACUnZlNoBbdq1Vrdnz5iDxQuWqIBRwUL6H2TC3MJcnaXbt2cfqlWvqrYrH2rXr15Dn/59tOuFtB05a/f+/QcUKVpYm04qH35SE6pg4YDrExERUdTxdPfCpxeOcHj+WWVwfZS/zx1VRldoebh6wjSxCeK6p0+eqZIEG7as05sBWNfXr85Ilsy3LouGHCPJCT/Jag8Ka2MSxS0yydPlGxf1lhnE9z2Rv3XzNjVkt0iBYnonDbZt3oY06X0zblesXq4mhZKAeNNGzXH6/MlI3gMiivHBJzFl+iS0at4GZUqUU0GjJ4+eYPK0SbC2ttauI7OryAGOkOj41MnTkD59OixeuFRdNIaPHKqNhI8dPwatm7dBuZLlkSp1KjULiwSkJAU0tNuRYYGjRozG4P8Gq208fvQECc0SYsnyRaoQOREREUU++WHy9cM33yDTc0c4vPisAk1O75yBP5hsTYqPG+sMNYzLBvQbgNJlSuHzZ0d1HHb/3gO1/NrV68jh4aEK/hoZJQgw25WcqJOC5gmMEgS57aiojRkdxMTahR6/6rP6F9x+xMT9/F0Rua+e7qEPmoenwPYnsP388ukr3Fzctcu/fvmmTvhrbr97/w4/fvwMtn88PD2wa8ceDBs6HIWL+J7sF0cOH8HqNavwM74Pvn11QarkaZHKLhV8PH7gi+MXPH/4CvHixQvHvQ56P2OruLKvcWU/Y+K+6pZziLTgk9QDOHryMG5cvwE3N3fkzv233mxzYtjIoUjyqz6UHOwsXKpfc0BD93E2NtbYc2CXmqFFAlcZ/sqgV6MpNNuROlQSabe3f40Xz58jefLkajtS04CIiIginqpD9VKymfwymuSvp5tXsI9LmMwU1uktVe0qw2TxMG/lbJTOXBHOD4KeGjxn+cwccveLbYoUePP2rSpPIL46+WYyLVm0FLXr1lLHUTKb1eFDR/T68P279+pvKrvA62JGVW3M6CAm1tEzPhN4MDa4/YiJ+/m7InJfjUyiJhAe2P4Etp/mVklhamaiXZ7UPDEMDA20tw1M4yF+/HjB9s+unbthlighWrZvpvf7Kn3mNFi8ZCGMzYxhltgUw4YNUaNY7OxSYsbs6UifJU047nHw+xlbxZV9jSv7GdP31TCyC18WKFggyPuLFvObYUcCQpUqVwzVdiXtW8YTByYs20mdOpW6EBERUcT4+eMnnD44+wWZfgWaVDZTMOIbxodlanNYp7eAjQSbfgWczMwTqgycJUuWoH+7/ipDp3jZYkj6JZnKmvIvafLEKNo05NqPccWc+bP0bp85dQbNm7TEvIVzkCJlCrWseMniqhzB9Ws3kPefPGrZoQOHYWZmhrz58ga5bdbGJApZy5n1onU3dejUHm3bt9XelhkvdclJ/ys3LwW7jcpVKqFipYoBTuzLTOiXr19CufLlVIbT8TPH1CydkllFRLEPU3uIiChOW9fft/B2WAp2U+jrKmkymLRD5146wiuEbCYJKEmQSQJMvoEmC1jYJYNBgoA/SJ48eYIOHTrgxIkTKFq0KJYuXYqsWbPCxckN59ZdwZ0jj+Dt4a2G2knGkwSezJLFnclCpByBq6ubylRy+e6ihtaJgoUKhPoHnkyLXrVaFfTs3gt9+vWCk9NXNYNwn3691Y9HIoq9JHkggc7oWiMj/UwtCRpJrafg+H+MLhNTE72hdQw8EcVeDD4RERHpDv164aiuS1aNEesChT6b6Z0zPr74DIdnfkPmAss80mUg2UxpLVRf+waaLGCVzjJMwaFNmzbh8uXLmD17Nrp27aqyoYVso0LXEmpWuye3niPj3+nj5FC71SvXqLICwjq5jXZ43crVy2FgahBoSYJCRQrByFj/x+KMOdOxctkq7Ny+S903aepE1KhVPZL2goiI4qpVPbfGuIxBChyDT0REFKfpZjS9uf8e6/r5ZkJV6F4Cdtlso7BlkVe4Miw8XDxUBpNuoElmnvPy8A72cYksE/4aKueXzWRul1TVDgmr27dvw8XFBYULF0b//v3RvHlzpEkTeG0QCTgZmRnFycCTmDJ9cpjWz/V3Lmzcsj7QzIUOndurCxFReFq8eDE7lCgOYPCJiIgoDpHhaJe33tTe3jx0H3JVyIKizfSHo0lQyum9szbA9FH9/Qznj9+D3b4MjbNKa66tySSBJqt0FkiY9M+HZ3l4eGDcuHHqkjt3bpXxJENCggo8ERFR9JctW7aobgLFAsyQiv4YfCIiIopDgae1fbbrDYfz8fLBjX338Pj8c/xTI6e67+Pzz/j08ouqlRScxFZmvkEmqc/0K6NJspkiIsvowoULaNeuHe7du4f69eurYXYRMQU3ERFFrsOHD6u/FSpUYNcTxWIMPhEREcURZ9dcCbIOk8sXN5xedTnQ+wyNJJvJty6TZrY5yWYyTWyCyLB7927UqlULyZMnx9atW1G3bt1IeV4iIop4o0aNUn8ZfCKK3Rh8IiIiioWkBtOnl77D5T4++6T+vr3/IcTHSTaTTQYJMvleJNCULEWSKKmZJHWdzMzMUL58efz3338YMGAAzM3NI70dRDHNmmUB63aJ5m2bRHpbiIh+d9gcxS4MPhEREcWC4XQSYJIZ5nyDTZ/h+NpJzUIXVq3m1I+0jKagODk5oW/fvrh06RKuXr0KU1NTTJgwIUrbRERERES/j8EnIiKiGEIVAX/nrGoyabKZ5OLi6Brs4xImM1XD5exvvQt2djtDY0MYJzRCVNqxYwe6du2K9+/f499//4W3t7eaaY2IiIiIYi4Gn4iIKFDr+u8MVc80nVyLPRgBvNy9fGeZ02YzfcKn545qOF2Q4gEWdsnUsDmbDFawkULgGayQyCKhuvvw3NOquHhQcpbPHCXD68Tnz5/RpUsXbN68Wc18JLWdihQpEiVtISIiP46Ojlg4fxHOnj6H79++IU26tKharQoaNKoPAwODP+qqfXv24d2r9zC3TsYuJ4rlGHwiIqIQebp6qkCIsE5nAaMozo6Jbb47usJBk8n0K9j05e3XYIfNJTA2hJUU/5YgkwSbfhUBNzJJEORjijbLj+dX7QMtOp40eWIUbZofUcXQ0BCXL1/GsGHDMGTIEBgbG0dZW4jIF2tHRV0fR7TQ1v+SEwO1q9dF+gzpMWBwf9jZ2eH16zfYv3c/PDw80KpNyz9qx4b1m2BpZYUMGTL80XaIKPpj8ImIiELMaHpz/z3W9fPNhKrQvQTsstmy136DDHn78uYrXl17i5dn3mgDTa5ObsE+zswi4a9spl8ZTRkskcw27EXAzZKZotm0Ojg89xQen3uhlhkkMECuillU4Enuj0wvX77E7NmzMXHiRCRNmhT379+HiUnU1psiIiI/s2fORbJkSbFyzXLEixdPLcvwVwaULFUCP374DuPeuH4jpk+Zqe63S5USrdu2RvWa1ULsxg/vP+D82fNYvX4VWjdvA2dnZyRJkkTdd//efUwcPwmvXrxC9pw5MHT4YNim4LEHUUzG4BMREVEggquNFBqebl6+BcB/BZgc5PLSEd7BDJuLFz8eLFIl0ws0yYxz4RkUkm0VqJtbG3xqMLYqUudMicgkP1jmzZuHgQMHwsfHB02aNEG+fPkYeCIiimaOHz2ONu1aawNPuuLH9z0BUr1mdZQsVRI/fv7A/bsP0L/Pf/grYwZky54t2G1v27od+Qvkh7GJEVKkTIF9e/ajcdNG6r6+vfqroX0jR49Qgagli5Zi6IghEbSXRBQZGHwiIiL6NWPc5a03tX2xeeg+5KqQRQ1VCy748/PnT1XwW1OXSVME/Mu7r0Awk80lME2ghspJkMn611+rtBZqOF1kiuwaTw8ePED79u1x9uxZlCpVCkuWLEHGjBkjtQ1ERBQ6nxw+qcCQhibLSZQpVwbjJ/0PZmZm6iJkWF7jZo1w8MChkINPW7ajddtW6NGjB5ydvmHr5q3a4JObqysKFCqAdOnTqUvlqpX5khHFcAw+ERFRnCeBp7V9tuvVQvLx8lHFuaVGkgxVkwCUZEM5vnYKEGhyc3YPtg8TWZrpZTN5xfNEjiJZVKZTXOLp6Yny5curoRULFy5UQSjNmXMiIop+EidODMfPvjUfdbOcJBPp7Zu3apn9K3tMnTwNd+/cw/dv3/Hd5Tuq16gGNzc3lCleTm97OXPlwJIVi3Hzxk08f/YcVapVxvyF85DQzBRXLl/Fq5evkCZtGkyaNhGTxk9WGVeFChdCi9YtYGNjHen7T0Thh8EnIiKK886tvRJoEW4hyzcM3KUKeUvRdQlKBUWCSZapzXUCTb5ZTQmT6mdOvXhkH6cCTw8fPkTmzJlhZGSE1atXI1OmTEiVKlVUN4uIiEJQoFB+nDh+Ak2aNVa3NVlOiRIn0q7Tt3d/5MqVE3Pmz1LBqqWLl8HJ6asaSr1991a97RkZ+05YsnXzNpU5XLVCdTg4fNTev3XLNvTu2wsFChbA5u2b8P37d6xbsx5NGjTF0ZOH+XoRxWAMPhERUZwm2Ux3jj4Kdh1He6cAy4xk2JxOAXAJMlmlNYehEb9aNdzd3TFq1ChMnjwZS5cuRatWrVCmTJkIeR2JiCj89ejZXc12N3P6LLTv2E4FntzdPWD/0l67zsf3H/BP65bIkjUL3rx5gyOHj6paTpK1pDtkTzcLdvfOPRg7fgxKlymFOnXrquVtW7fF6pVr0KtPT4weMQbde3aDpaUlsmfPpoqTS7AqsNpTRBQz8AiZiIjiFB9vH3x6+QXvHn3E+0cOaia/4IqAa6TPlwq2mWy0AaekyRPHqeylsDpz5gzatWuHR48eoWnTpqhatWpUN4mIiMIoc5bM2LBlHcaOHodZ02ermUl9fvigcJFCKkNJ9O7XC//1HYBhg4cjSZLEyJEje7DbPHbkmAoi1WtQV2XEGhoaqOWSXTVj6kxcvnRZzahXqVwV9Z1tYBAf/5swhoEnohiOwSciIoq15Cyp01tn30DT449499BB1Wry9gx66FxgDI0NUXdElUgvzh1TDRo0CBMmTFCFZ3ft2oUaNWpEdZOIiKKl5m2bILr7O/ff2LR1A9zd3FUdJ3MLc737a9WphWo1qsHV1RVJkiSBi4sLvL2CPqlTrEQxHDl5SAWeRP/+/dVfGbJ36vwJmJqaomChgmjRqjmcvjghabKkDDwRxQIMPhERUazx3dFFZTNJsOndIwd8eOwA9+8ewRYCT5HZGt8dXfHuoV/NCf9yls8c4wNP6/rv1F73dPXUXj885zSMEvr+ABBNJ9f64+dKkyYNOnXqhIkTJ6qz5EREFPOZmJqoS2AMDQ1V4EloZr4LigSZdNWq5fe9Y2VlpXdfMvNkf9BiIopOGHwiIqIYycPFA++ffML7hx/x7rED3j/6iG+fXIJc39jMCLaZbZAik7Xv38zWKvgU1Gx3GjK8rmjT/IhNJNhkl9023Lb3+fNn9O7dGzVr1kT9+vXRpUuXcNs2ERHFbq9evdKeuCCi2IvBJyKiP8ggCU54ZJCQL28vHzg8+/xr+JyDylJyfOME/Ay8hwwSGCD5X1awzWyNFCrQZINkKZIEWaPJLJkpmk2rg8NzT+HxuRfabeSqmEUFnuT+mC4i3o8yrHHz5s3o3r27CkBly5Yt3J+DiIhiN6kLqKkVSESxF4NPRER/QIYvObxwVNet01noDV+i3/Pzx098fu2kMpk0RcE/Pv+MH94/Al1fAkqWacx9M5qy+GY2WaWzgMGvAqahJQGmAnVza4NPDcZWReqcKfkyBuHt27fo1q0bduzYgVy5cmHfvn3Inz92ZYgRERERUfhg8ImI6A8ySGSmtHX9fDOhKnQvAbts4TeUKS6QzBkZKqeCTA99s5rk4unmFeRjZBicJqNJ/ib/yxpGpgnCvW0xvcZTRFu3bh327t2L0aNHY8CAAdrCsURERERE/jH4REREkcbtm7vKZNIMnZOgk6uTW5DrmyYx8Q0yZbFGiky+waaESWP+ELiY6tmzZ3BwcEChQoXQq1cvNYtdlixZorpZRBRNrFm2PsbO6EZERBGLwSciIgqTHz6BD3/zz8vdCx+efVbD5zQz0Dm9cw5y/QTGhkguQ+cyWSOFDJ/LbIMkNok4vXI04OPjg1mzZmHo0KFInz49bt26pWY2YuCJiIiIiEKDwSciIgqWzAR3eetN7e3NQ/chV4UsKNrMrxC3BKQ+vfriW6fp1/A5qYUl9ZuCGtImNbJ0h89ZpjbnULdo6M6dO2jfvj0uXryIcuXKYdGiRYgfn0MSiYgofLRt25ZdSRQHMPhERETBBp7W9tmOrx++aZf5ePngxr57eHj2GTIXy4BPLx3x8ckneHl4B7kd85RJfQNNWWxUZpNNBiuV6UTR29GjR1GlShUkTJgQS5cuRZs2bZiJRkREUR58OnLoKI4cPoIJk8cHev/A/oNQvkJ5lK9YLhxa+GdtISJfPPInIqIgnV17RS/wpMvtqztu7rsXYLmZRUKVzZQiszVsJaspozVMEhuzl2MQDw8PGBsbo1ixYujcuTMGDhyIlCk58x8RUVyyb88+bN64BctXLwswWUiDOg3Ru28vFCtR7I+fx8XFRf01MzML9WO+ffuGt2/fBXm/3CfrRIaQ2kJEvhh8IiIiRYbIfXn7FR+efMKHZ5/U0Dn7W29D7J3Uf6dESsloUgEnGyS2Cv3BI0Uvrq6uGD58OA4ePIgrV67AxMRE1XoiIqK4p2ixoujVow/u37uPbNmzaZefP3seDx8+Qr4C+cPleSpVqqT+njlzJly2R7Hfqp5b9W57unvCyMQoxPU0Ws6sF2Fto6Ax+EREFAdJjabP9l9UoOnxlRc453gNH599hpebV5i3VWtwBZgmNomQdlLkOX78uKrtJDPatWrVSpv9REREcVMy82QoW74Mtm3ZjiHD/YJP27ZuR/Ua1WFiYoyTJ05h9YrVcPj0CUWLFUGvPj213x3Ll67A7p17YGFpgfoN6mL+3AXYuXeHNqtqyqRpaii3w7vPMEuSULv9lctX4fOnz/D29sa5s+fRs3cPFC1eFFMmTsWlS5fx119/IVu2rCG2/5PDJ/Tp2Q9Pnz5FwYIF0G9AX23bvLy8MH/OAtX+hGYJ0axFU1SuUkk7ZC/vP3lw5fJVPHzwEDlz5cTgYYOQKFEidb98P4a1LUQEsGIoEVEs5+3prbKYbu6/h0NzTmF1722YWX8ZVnTbgv3TT+DJ6Rd4c/e9XuDJyDQB7HLYIr5BvGC3bWhsCOOEAc80Uczh7OyMTp06oWzZsupA/8CBA1ixYgWSJEkS1U0jIqIoVq9BPezcsUvNeirc3NxwYN9B1GtQRwVu+vbsi5p1amLUmJF49vQZhg8ZodbbtGETFi9YjB69uqNVmxaYNH4ynj17rt1u8ZLFsWjZQixcMl8Fnpw+fcWtm7fUfY6Ojpg3Zz6SJkuKCZPHoUChAhg9YgyuXb2OYSOGqCDXzOkhZ+XOmjELxYoXVY+RQJJsQ2PsqP+pOk0DBvdHw0YNMKDfQJw4flLdJ0PoJDBWqnQpjP7faNy9ew8L5i7UPvZ32kJEkZz59P37dxW9dnN1VWmaqVLZhfiYp0+eqVTPJEmT4J98ebUR58DWkxl5bG1tUbBQgQAFUUPz3L/TPiKi6MTTzQsfn3/Gx6ef8EEuTz7h86svKtMpKEYJEyBFluRInsESyTNaIflf1kiWIgnixY+Hw3NPq+LiQclZPjNnqIsFZJhd9+7dMW7cOCROnDiqm0NEFGcUL148wLLy5ctj5MiR6nqtWrXw+fNnvfvz5s2L2bNna4t1P3r0SO/+1KlTY/369ep6//79cf78eb37ZRKJQ4cOhap9ZcqWho+3D06fOoPSZUrh0IFDsLKyRP4C+dGkQTP07NMTNWvVUOtOnjYJ+XMXxJhxo7F+7Ub06tdLPV706d8HgwYM1m5XTnBoTnIkNDNVJ8r27t6Hv3P/rZYVLlIInbp0VNflxIjUntp7cDcyZc6knvvunbt4+vRZsG1v2Lgh6jWoq65LEKtGlVoYNXYkvH28sX7tBmzbvRU5c+ZQ9796+RKrlq9S+yhat2mJ6jWr+fZx+zbYvGHzH7WFiCIx+HTv7n20bNoSKe1SqtTLAf0GYcTo4WjSrHGg63/86IBe3Xvhw4ePyJotK16/fg37l/aYOXc6SpQsoV1PUiYH9h+MQwcOquUurq6YOW0mVq1bCUNDw1A/d1jbR0QBreu/M1Td0nRyLXZfOHD/7uEXZPoVaHJ84wT8DPoxUgw8+V8SYLL6FWiywucvX5A+S5pA1y/aLD+eX7UPtOh40uSJUbRp+NR7iC7vW09XT+31w3NOw0gnqys2vW8/fvyofriMGDFCHfzfvn2bQSeiOGDNMt+ABFFoye+pmrVrYNuWbSows23rDtSt7xvQef7sORbOX4TVK9eoIuRykeDM+3fv1W+3TJkyabeTKXNGve06ODhg9ow5uHXzNt6//ogfP37g3Tu/ot3p0qfTXv/w4YPa7l8Z/9Iuy5I1S4gBn8xZdJ8/k9qGbEuG9Hl6eiJr1iza++X35o7tu7S3U9r5JSEkMjPD9+8uf9QWIorE4FP/Pv+hYKGCmLdorrq9ZtVajBg2Un2IpUiZIsD68oHQ/d9uanyvhqRx9ureB1duXtJmNk2ZNBUnT5zE/iP7tZlKly9dVqmhmuBTaJ47rO0jouDJj3iHF47qunU6C70f8RR2Lk5u+PjEwS/Q9PQzvr53DvYxEhyy0Qk02WSwQiILv5oKGo5OTkFuwyyZKZpNq4PDc0/h8bkXaplBAgPkqphFBZ7k/thE3qd22W0RW8kPg3Xr1qFnz55wcnJCxYoVUaJECQaeiIiiSEhFtnfuDP7E3rJl+jPR+Td58mT8qXoN66F+rQZqWN3Z02cxdrzv8DVzC3O0aNUcBQsX1FvfNoUtzM3N4aiTseXo+EVvncEDhqqTHzJ0bfPWLXh47yG8PP2G/8eP71cdJlmyZCo4Jd9bFhYWapn/bLDAfP7sexwqvnz5orYh7XJO4htIkiBUctvk6vqnT5/U/oTkd9tCRJEUfJIhcZKOOGzkUO2yBo3qY8L/JuLA/oNo0651gMdIIMn/sDdJ21y1YrX6B7eyslKz8qxavhq9+vbUW7dAwQJheu7faR8RBaSbGfLm/nus6+d7wFShewnYZYu9P+jDOzjw7ZOL3rA5+fv9s++BUqDiARZ2yWCjHTZnpYJO4VUEXAJMBerm1gafGoytitQ5UyK2iE0ZTcGxt7dH586dsW/fPjVk48iRI8iTJ09UN4uIiKI5GZommUj/duuFfAXyIXXqVGq5DEuTguLVqldV9Zm+On3FsqXL0btvL5QqXVIVHJfaThJIWrpoqd42X9u/RueuHdX20v+VHs0btwzy+c3MzFRZlYXzFmHQ0IHqt+CmDZuRNl3aYNstQ+UaN22kgkTzZs9XQTIZcmhqaopCRQph7ux5GP2/Ufj61RnLl65EnXq1Q+yL320LEUVS8OnRw4cB0i1lpoE0adPg0UP9McrBOX7sBGyS26jAk5CAkRS9K1aimMp2evvmLdKkTatmJwjLc/9u+9xc3dTzazh9CTp7gIhiv+DqKgUVaHJ674yPvwJMmmCTm7N7kI+ROkyWacz1hs3ZpLeM1Myy+AacqyKmkWzgMmXKqGEQEyZMQJ8+fZAgQYKobhYREcUQMlvd2NHjMGnaRO2yjp07wMHhE4oWLI6kSZPA3d1DzSgnZARLx/adkT93ASRIYITyFcvB0MDvp2fnbp0wqP9gTJowRdWUyp3Xt9ZTUMZN/B/ate6ALZu2qmOhEiWK47OjX2ZTYPLkzYNK5aqo47NEiRNh6YrF2vsmTBqHbp17IG/OfGr2uoqVK6B121ah6ovfaQsRRVLw6dv37+pv0qRJ9ZYnS5YU37753heSo4ePqqFw02dP0y778ivYM33ydJUqmTpNGlw4f0GNwV25ejlMTE1C9dy/274Dew5hx+bdAZbbP3sH5+CyFP6AfHi+eGQfIdsm9nd4+mzvl1793v4jvAz8Uqljy3vc/ZsHrm2+o729achepC+UCtkrZYJJYv0p6n/++IlvH7/jy2tnfHn9FU5vnOH02hle7t7BBnmSpkwM81RJkCxVUpjbJUHSFIlhYGSgXccb3nj7+sMf7Udo+vx3X0/6/T4PD6/fvIZdSjs1VH3k0NFIYZsSf2X4C2+ev49TL01E93e6zKkRnbm7uePUqdMwMTFByVJ+dTN1ycm2Vy/tVamBHDmzB7qOzEB17cp1GJsYoUCBAuo4i4jihuYtm6N0uTJIk8bv805OYowcPRxDhg3CJ4dParidpjSKZEJt3LJe/UaTiSzOn7uA69duaB9bq3ZNVKxUQZ28b96iOR49fYgN6zeo+1q1aamdXU8jY6aMOHn2OD68/wBrG2u4uLjgezC/0yZOHq8CTpKp5PDRQTu8TiN9hvTYd2iPap9kQsl6/h+rUaRYEWTJlvW320JEkRh8koMd4fLdRX0Qacg/qhT4Dol8WElkum//3uqDSjc7SSRNlgxLVy5R1yX1sXypiliyaCm69+wWquf+3fZVrl4Rpcr5HcTJh+eoQeOQOkMKVbQ8IsjBc3Q/yI1N2N+/L4GPX1aFbWob2GW2jVV9LjWY1k7YrleI+4f3Dzw9+woOjx1RqWcpOH/4jo/PfLOZHJ5/hpdH0IGmBMaGsJZhc9qMJmtYpkkGA0O/QFNECU2f/+7rSb/f539CiqFOmzZNFRSXwuLt27dHusxN4+zLEVM+V8Kb1CWR6cT37N4Lg/gGsLK2DBB8unH9JoYMHKomcJGhNHfu3IWtbXIsWbEY1tbW2vVkFiqpj5k9RzY4O3/D169fsWL1MmTLni0K9oyIIpsEmzPqFNnWJUEo/zVypej4ndt3VcaT/KaSYWoyFE+XBH3kIplHQhMg0tRSCoxmHQloBTc7q257/AeedGlG1AT1WCFD9eTyu20hokgMPqX7NQbW/vVrbXBHhpu8ef0GFSpWCPaxF85fRLtW7dGtR1d0+7eb3n3pf82CULZcGe0yS0tL/J3nb9y7ey/Uz/277TNNaKouRBT3nFt7JdAZ4ITzx+/YPGRvkI81NjPS1mXSDJ0zT5mUw9koXNy8eVNNvX3t2jVUrlxZFRWnuEkyB+Qk2qGjBzBz+ixcuXwlwDpSP1OmR5egkpByAnVq1MWYkWMxa+5M7Ym9//oOUDU2ZZiNHCN17tAFfXv1V5kDRET+JTM3x8YNmzCw/0A1U1yRooXRo1cPdhRRHBYpwaecuXLC1tYWu3fsVgXrxJnTZ/Dp02eULV9Wu54U95YZCAr9mjHh0sVLaNuyHTp37YQevboH2K7UZMqaLQse3H+gCt4JOXP39MlTVfgutM8d2vYRUdzm6eaFj88/492jj7h54H6oHpMwqQmSZ7SGzV+S1WStAk1JbRNr09KJwpPUcxo2bJiaQWj16tVo1qwZ32txmGQjtO/YLth1ihYrondbshBKlS6Fo0eOaZcdPngE3j7eaN6ymbotn1/tOrRFw7qN1XC9zFkyR9AeUHS1Ztl6eHh4wvgMZ7KlwJmYGGPxsoVqZIhkcTMziIgiJfgkMxyMHDMc3bv8q86oSXrjyuWr1EGM5kybmDltFrLnyK6CTzKVZ5sW7dR4XCkyvmHdRu16latUQjLzZOr6qLGjVGbU9+/fVTDq4IFD+OHjg/ad2oX6uUPbPiKKOzxcPPDx2We8l2LgTxzU7HOfXzsBP0O/jdZzG8AqrTl//FOkkRM4devWVUPtbGxs2PMUZpLVdO7sOWTRCSg9ePAQqVOn1ht2kiVrVu19QQWfODELEWl+sxERRUrwSVSuWhk79mxTdQekYOXY8aNRpVoVf+tU0o6xlXoVmmym69eu660n9Qo0H2QSqNq9fye2b9uBVy9foVr1KqjXoJ5e0bjQPXfI6xBR7OT2zV3VZZLZ5iTI9P6JA5zeOv/RNg2NDWGZOhkDTxSh5MTL4MGDUbx4cTRs2BAdO3ZEp06d2Ov022R43uNHTzB1xhTtsm/O39QkLLpkZisDAwM4f3WOVhOzRAfRYeIMyUqKcD9D/zxR3R+x4TWNzfuZM1su9TeynjuuvJ4xbV893X//c+tnGB8fU/okpr+mQrfmZqQFnzTD2+QSlJ69/9Vel7NoE6dMCNV2JTuqT7/ef/TcoV2HiGI2169u+PDYQQWa1OXJpyBrN2lIPSZVm+lXfSap1XRm1WXc2OdbWy4wOctnZg0nilCHDh1SwaaXL1+qjBQJPnE4J/2JVStWYd7s+Zi/aK5eNpORkRFcXFz11pUp1aWmlGbyl+gyMUt0EB0K3EfGcDg17M44dM8T1f0RG17T2LyfCxbPj9TniyuvZ0zbVyOT3//cksBTWB4fU/okpr+m/kVq8ImIKDJ9d3TxzWj6NXROgk3fPgVztj0eYJkqmQou2Wa0VsEmuW6cMOCXWdFm+fH8qn2ggaukyROjaNP84b07RIpk5/bt2xcrVqxAhgwZcPToUZQty/qE9GdWr1yDsaPGYe7COShXoZzefWnTpcGBfQfU7HlSqkC8fv1a/ZWSB0HhxCxERESkweATEcWKGiXfHL5rM5k0Q+hcvuifqdcVL348WKYxh63KZrKGjQSa0lvCyDRBqJ7TLJkpmk2rg8NzT+HxuRdqmUECA+SqmEUFnuR+oogghcRXrVqFPn36YMyYMYFO/0wUFmtXr8OYUWMxZ8FsVKhYPsD9pcuUwoT/TcT5s+dRrEQxtWzPrj1IliwZ8v6Th51NRH+kUaNG6u/GjX41fin2WNVza4BlLWfWi5K2UNRi8ImIYlyg6ev7b78CTb+Gzz35BDdn9yAfE98wPqzSWqhAk2QyydA56/SWSGD8Zx+BEmAqUDe3NvjUYGxVpM6Z8o+2SRSY9+/fw97eHgUKFEC3bt1QsmRJ5M2bl51FITpx/CScnZ3x/PlzfP3qjF07fWswVa1WBYaGhti/dz+GDhqGWnVqwt3dXXu/UYIEqh6myJotK5o0a4KePXqjU+eOcHJywqIFi/G/iWPVkDwioj/x5s0bdiBRHMDgExFFSmG83/Hzx098efdVb9icXPdwCbqgoGQfWae3QHIZNqeGz1nBMq0FDBMYIKLFN/AdjkIUnsHWlStXqiwnCwsLPHz4UAUMGHii0Dp35hzevn2HRIkS4+/cf+PQgcNqeaXKFdV7ydPLC9VqVIO3t4/2PpEwoak2+CTGTRyLQoUL4NzZ8yrgtGrdShQpWpgvBBEREYUKg09EkWRd/52hWq/p5FqI6Vyc3HB5603t7c1D9yFXhSyqTlJQw9EkQOX45iteXn6DZyfstTPPebp5Bfk8krlkncFSBZl8C4JbqxnmDAwjPtAU196znq5+Ab/Dc07DSKcOVmx4z0ZHL168UAXFDx8+rDKeli5dqmYXIwqLwcMGBXt/rdo11SUkUsy+dt3a6kJEREQUVgw+EUUB+SHv8MJRXbdOZ6H3Qz42BJ7W9tmuV4jbx8tHzQwnBbqlTpJJIiN8tnfyzWb6VZ/J4dlneHl4B7ldqcWkGTKnCTRZ2CVltlEkkfeoXXbbyHq6OO/ChQsoX768KvA8ZcoU9OrVi4EnIiIiIoqxGHwiiiS62SFv7r/Hun6+WSUVupeAXbbY86P+3Norgc4AJ2T5iq6b4OHqpQJSQTE2M/INMKlAk++sc+Ypkqoi4RR5mNEU+by9vbXD6ho3boyBAwciY8aMUdASIiKiyJE1a1Z2NVEcwOATEYUbGTp35+ijYNdx/apfGNw0icmvTCbfWee84nshR5HMaogHUVzh5eWFiRMnYvPmzbh48SJMTEywZMmSqG4WERFRhOP3HVHcwOATEf2Rrx+/4fWdd3hz7z1e3XoL72CGzmnkr/M3UuWwVZlNia0T6QWaXjyyZ+CJ4pSrV6+ibdu2uHXrFmrWrAkXFxcVfCIiIiKKjVb13BrVTaAowOATEYVp9rlPrxzx+u57vLn7Hq/vvcc3h+9h+9AxNkSpNoVYq4niPDc3N4wcOVLVdLK0tMSGDRvQsGFDBl+JiChO6dKli/o7f/78qG4KEUUgBp+IKEjeXj54/9gBb+68U4EmyW7ycPGb9cz/8Dm7HLZw/eKGtw8+BLnNnOUzM/BEJIX4fXywceNGNG3aFNOnT4eVlRX7hYiI4pzbt29HdROIKBIw+EREWh4uHnhz/wNe332nMpvePXIIsjB40uSJkSpnCjUDmgyhs0iVTGVsBDbbne5jijbNzx6nOMvZ2Rlz5sxBw9pNkChRIly/fh3m5uZR3SwiIiIiogjF4BNRHPbtkwve3HunhtHJxeHFZ+BnICvGA6zTWaogk1zssqdAYiuzQLdplswUzabVweG5p/D43Au1zCCBAXJVzKICT3I/UVy0d+9edO7cGa9fv4Zd8jTImD09A09EREREFCcw+EQUR/z8+ROO9k5q+Jwmsymw7CRNsChFZmukypFCDaWzy5YcxmbGoX4uCTAVqJtbG3xqMLYqUudMGW77QhSTODg4oFevXli3bh0yZcqEkydPIo1t+qhuFhERERFRpGHwiSiW8vH2wYcnn1SdJlUg/N57uDm7B7qusZnRr+FzvsEm20zWMExgEG5tiW8QP9y2RRTTgr5ly5bF/fv3MWDAAIwYMQKmpqZqVkciIiICrK2t2Q1EcQCDT0SxhKeblyr0rclqevvwI7w9vANdV4bMaQJNMozOKo0F4sWPF+ltjqnW9d+pve7p6leA/fCc0zBKaKS93XRyrUhvG0UP79+/h42NDeLHj4+pU6eq2ezy5csX1c0iIiKKdrZv3x7VTSCiSMDgE1EM5fLF1XcGOlWv6R0+PvuMnz8CK9gEWKU112Y2SbApiU3iSG9vbCXBJulbIvHjxw8sWbIE/fv3x4QJE9T00RUrVmTnEBEREVGcxuATURT74fMjVEN3nN45a7OaZBjdl7dfA103vmF82Ga01mY12WWzhWkSkwhoedzFjCYKzJMnT9ChQwecOHECRYsWRZkyZdhRREREIRg2bJj6O2bMGPYVUSzG4BNRJHNxcsPlrTe1tzcP3YdcFbKgaDO/meAkIOXw/LN2Fjqp1ySZToExMk2AlNmSa7OapF5TApMEkbY/RATMnz8fffv2VcPsZs2ahW7duqnrREREFLzjx4+zi4jiAAafiCI58LS2z3a9WeZ8vHxwY989PD7/HNnLZYbDs894e/+DquEUGDPzhCrIpKnZZJ3OggW9iaKYkZERSpQogYULFyJdunRR3RwiomhlzbL1gS5v3rZJpLeFiIiiBoNPRJHo3NoreoEnXS5f3HB5i19GlIa5XVJtVpMEm5LZJkG8eCwOThSVPDw8MG7cOGTPnh2NGjVC27Zt1YX/m0REREREATH4RBTB1BC6F45q+NzNA/dDXD95JqtfwaYUqpC1ZigeEUUPFy5cQLt27XDv3j106tRJBZ8YdCIiIiIiChqDTxStpq2PDUWeXb+64e2DD76X+x/x/vFHeLl7h/rxDcZUg2liFggnim5cXFwwdOhQzJw5EzY2Nti6dSvq1q0b1c0iIiKK0QwMDKK6CUQUCRh8omjF09VTZQkJqWUk09jHhKwmbbDpwQc4vXX+7e0ZGhvCOJrvM1FctXr1asyYMQNt2rTB1KlTYW5uHtVNIiIiivFOnjwZ1U0gokjA4BNFOd2Mpjf332NdP99MqArdS8Aumy2iW1bTu4cfVUFwCTS9exR0VpOhkQGSZ7JGyqzJf11scH79NVVcPCg5y2dm8XCiaMTJyQnPnz9H3rx50aFDB+TKlQvFihWL6mYREREREcUoDD4RBZPV5PTGGTee3Ps1hO4Dvrz9GmR/JbFJ5BtkyuYbbLJJbwmDBPppxEWb5cfzq/aBFh1PmjwxijbNH2uGUEoWm8bhOaf1sthiyhBKitt27NiBrl27IkGCBHj8+LGa0Y6BJyIiovAlWcWiV69e7FqiWIzBJ6LfyGqSoJKtymqy0QacElmYhdiXUjy82bQ6ODz3FB6fe6HdVq6KWVTgKTYVF5dgkxRMJ4ppPnz4gB49emDz5s3Ili0bli5dqgJPREREFP62bNmi/jL4RBS7MfhEcTar6dPLLzqFwUPIarJOpM1oUllNGQJmNYWWBJgK1M2tDT41GFsVqXOmRGzAjCaK6W7cuIFy5crB2dkZw4YNw5AhQ2BsbBzVzSIiIiIiitEYfKI4wc3ZXa8o+LtHDvBy8wp0XQkqJc9opYJMCZIaIE/ZHEhkGXJW0++KbxA/wrZNRKHz48cPxI8fX2U6ValSBf/99x/+/vtvdh8RERERUThg8IliZ1bTq19ZTb+G0H15E3xWUwrN8LmsyZH8LyttVtOLR/YRGngioqgPOs2fP18NrTt79ixMTU2xZs0avixEREREROGIwSeK1kGk0HD75o53Dz6qINOb+x/w/tFHeIYiq0kNo8uSHImtGFwiiosePnyI9u3b48yZMyhZsqSa2U6CT0REREREFL4YfKJow8XJDZe33tTe3jx0H3JVyKJmiNMU4paA1Gf7L9qMprcPPsLxtVOQ20wstZp0spps/rKC4W/WaiKi2MHLywtTpkzBqFGjVCHxBQsWoEOHDmrYHREREUWu3bt3s8uJ4oBIDz55eHjA09MTiRMnDvVjXFxc1NnowH4YfHH8Ai9v/RnJTEyMkSRJEnXdx8cHnz87BrrdJIkTw8TUJFTboYgPPK3tsx1fP3zTLvPx8sGNfffw6NxzZC+dEQ4vHNVsdEFmNRnGR/KM1nqFwZnVRET+yXfQ4sWLUb58eRV4SpUqFTuJiIgoipibm7PvieKASAs+ffv2DQP7DcKhg4cRL148ZMqcCVOmT0K27NkCXd/d3QNrVq3BmpVr4ODwSQWRSpcthZGjR8A2hd/07S2btcKzp89hmtBvqET1mtUxcvRwdd3+lT3q12kY4Kz3V6evmDlnOmrVqRWq7VDEOrf2il7gSZerkxuu7LgdYLkEljRBJgk4MauJiILi7u6uAk3dunWDmZkZzp8/DxsbG/V9RERERFFn9erV6m+LFi34MhDFYpEWfBoycCgePXqMMxdOIWnSpBgyaBjatmyPY6ePBFpj49nTZ3j39h1Wrl2BtOnS4tOnT+jcvgs6d+iKHXu26a3b7d+u6Nq9S6DPmy59Oly5cUlv2YxpM7F4wRKUq1Au1NuhiCND6e4cfRTierZZrGGXzRZ2v4JNia0S8WUhohBJTad27drh0aNHSJMmDerWrYvkyZOz54iIiKKBhQsXqr8MPhHFbpFS4OLz58/Ys2sv/u3VA8ltk6uhboOHDcTHjx9x6MChQB+TPUc2DBs5VAWehJWVFTp26Ygb12+oIXL+SSbTz58/Q2yLrLN54xbUqFUdiRIl+u3tUPjxcPWEt4f+kMfA1B9VFWU7FEWWEn8x8EREocq47d69O0qUKIHv379j586dKvBERERERESxMPh06+ZtNZ11gYL5tcssLS2R4a8MuHHdr8B0SGQInbGJMRIl1g8aTZ00DUUKFEP2TDnRrXMPfHj/IchtnDl9Bm9ev0Hjpo0D3BeW7VD4MU5oBEPj4JPw5H5Zj4goNOQkQoUKFTB37lx07NgR9+7dQ82aNdl5RERERETRNfgk9Zdk2Ju3v4LcoeX4q+C3uYV+MTkLSwuVFRUar1+/wZyZc9GiZXMkSJBAu7xS5Uo4fvoo7j2+gwNH9uG1vT06tusUZFs3rt+MrNmyIk/e3HrLw7od4ebqpvZNc3H6EvSsaxS0+AbxkbNc5mC7KGf5zGo9IqLgfPnyRZ3skFpOMpvdsWPHVDq/DPcmIiIiIqKoEWS6yZlTZ7Bty3acP3cB7969U8vkYD59hvQoUbI4GjZuiBw5s4fqSTQFXaVouC4fb28YxA952nsJfLVu3kY933+D+uvd171nN+11GaI3dvwY1KhSC7dv3UHef/LorSvBoUMHD2HIsMEBniMs29E4sOcQdmwOODWo/bN3cP7sgoiqj/TikT1im9SFU+DRhedwdXQLcF9CC1OkLpQiSvY7PPv72Kzz2uve7n5Bzb1Tj8HQxO9fsey/RRCXxdb3eHQWG/pcMp32HdiLEWOGo0fXf9GqeWtkSe/7HRUd9y029HlMEtH9nS5z6gjbNhEREVGsDD6dPX0WY0b9D8+ePUORokXQqGlDpLRLCbOEZnB2dsaLFy9w5dJVrF5ZE8VKFMOwEUOQOUvwWSu2tr6FXT85fEKatGm0y+V2vgL5gn2sZEY1a9Qc1tbWWLJ8MYyMgh96pakRZW9vHyBotH3bDhUIq123drDbCGk7GpWrV0SpciX0glujBo1D6gwpVFZXRJCD59h6kJt6th0Ozz2Fx+deqNsGCQyQq2IWFG2aH2bJAhaljwzh2d8mptf8bpgaI5G5WaDrxdbXN7Ri83s8uorpff727Vs1i92OHTuQK1cuVK1ROdrvT0zv85gmpvW31LaUGRpTpEyhbu/dvQ+XL19BtepVUKBggTBvT07iHdx/SJUtqFU78OGnMtHLxQuXYGxsjFJlSqryCL+zDhFRWK1YsYKdRhTXgk9ycNK7Z1906tIR9RvUQ9JkQQ9TePPmDdatXo9O7Trj+JljwT5J7ry5Va2m06fOoFmLpmrZq5ev8OLFSxQqVFDvYMvA0ABJkiRRtx0dHVXgydzcAstWLVGFyv2f6fY/TbamhlTq1AEPMjeu34Rq1aoiadIkf7QdDdOEpupC4UMCTAXq5tYGnxqMrYrUOVPGmu5tOrlWVDeBKNZZu3atCjy5urpi9OjRGDBgQIgnKYiiMzkm6dShCwYM7K+CTxfOX1TZfFIyYP3a9Th4ZL+ayTc0JOO8V4/euHzxChImNIVZIrNAg09rVq3F2FH/Q5mypfH161eMGDYSy1Yu0Qt0hWYdIqLfkTFjRnYcURygV0RHamKcOnsC7Tq0DTbwJOzs7NB/YD/s3LcjxCcxMzNDm3atMW3ydJw4fhJ37txF3179kOvvnChdtrR2vaaNmmPU8DHaWeeaNWoBAwNDTJo6Ad++fcfHjw7qoqnDdO3qdXTv8i/OnTmngln79+7HwH4DUbxEsQDZSjdv3MSD+w/QuFmjAO0Ly3Yo8rDGExGFxMvLC1mzZsX169cxbNgwBp4oxnv44CFcvrtoM8O3b92OTl07Yt+hPerE4I7tO8MUyCpfsTxOnT+BUmVKBbrO+3fvMXrkGIwcMwLzF8/Duk1rUalyRQzoO1A7+29o1iEi+l379u1TFyKKQ5lPUshbt5h3aGiylELSf0A/JDJLhHFjxsPNzQ2FChfEwCEDED++X/zLwsIciZMkVtfv3r0HBwcHdb1urfp621q3cY0a6pcv/z9qWN6C+Yvw4vkLJE9ug9btWqNVm5YBnv/QgcPIkzcPCupkWmmEZTtERBR1JJNj9uzZsLW1RePGjdGqVSu0aCEnKkKuH0gUE7x6ZQ+7VHba25cvXsaUGVPUdTmOuXTxUqi3ZWhoGOQwO43DBw/D0MBQryRB85bNsWXTVnUsljNnjlCtQ0T0u8aNG6f+Vq1alZ1IFIsFP799OJIfBlLUW7ewt39rN67RXi9arAiu3Aj5AKtipQrqEhLJ0uofDtshIqKocffuXbRr1w4XL15Ew4YNVfBJhkwz8ESxiZWVlcrUlixvKU/w4cNH5MzlG9z5+OEDbGxswvX5Hj9+glSpU8HExFi77K+MGdTfJ48eq8BSaNYJalZgOeGowVmBiYiI4q5gg08fP3zE1MnT1LC0b87f9O6ztLLE3oMBZ3ojIiIKT56enpgwYQLGjh2LhAkTYunSpWjTpg07mWKlPHlzw9DAAJXKVcG3b99Qo1Z17XBSKV0wcMjAcH2+799dkORX1rlG4sSJVVBX7gvtOtFlVuDoIDrMZunh4RnxT/Lzz58nqvspJr2msXk/Pdw81N/Ieu648npG5L4emXomwLLyfYsHuq6ne8R/Hv0M4/PE5Nf/Rwx7/+pO+BJs8Klb5+5wdPyCylUqqSKV/us4EYWHdf396ld4uvp9aByecxpGCf0KB7NgN1HctG7dOowYMQK1a9fG3LlzkTJl7JmIgMg/KUewfvM6NUmKTLTSolVztfztm7eqdICUCghPpqYmAQJIUsBfhriampqGep3oMitwdBAdZlc0PhPxEy9I4MnY+M+eJ6r7KSa9prF5P41NfbMqI+u548rrGZH7amQS8H8/qOcJbN3wJoGnsDxPTH79X8Tg92+QwSc5qLh+7QYuX78IcwvzyG0VxVkSbLLLbhvVzSCiKCbfQU+ePMHff/+tajqlSJECFStWDDAzKVFslNw2Of7t3UNvWUq7lKqEQHhLnyE9du/ao4b5SY0o8fLFS/VXM6teaNYJDGcFJiIiohCDT/HjG8DExATJzJMFtQpRuGBGExHpOn78ONq3bw93d3cVgJLMikqVKrGTiCJAufJl1WQwR48cUzPYiW1btqsAmAwBDO06RES/a+rUqew8ilSrem4NsKzlzHp8FaIq+CRFJf/J/w/27t6H6jWrRXQ7iIgojvv69Sv+++8/LFq0CGnSpMGyZcuCHdJDFFvIDHYL5i4M1boFCxdE566dQr3t7Vt3wNHRUc1K9/nTZyxdvEwtb9m6hZrhWLKaunbvgn69+uFqsyZwcnJSj5mzYLa2mH9o1iEi+l2FChVi5xHFAcHWfBo9diSqVqyObVu2qVlOdCVKlAj/DQpu/jgiIqLQefDgAcqVK4e3b9+ie/fuatplKWhMFBcYGiZAkqRJtLcfPXyMe3fvIVv2bEiXLi2+fHHCtavX1LFX6bKlwrTt9+/fqwlkcuTIri6v7V+r5T9/SnlWX/0G9EWRooVx7ux52KWyUxPKZM6SWW87oVmHiOh3yCy2gkEoojgcfJo0frIa9mBv/1oVHtdlzuF4RET0h+QHsNRxypAhA4oUKYJevXqhePHAZ0shiq3+yZdXXTT1zmSmu4VLF2iHuIk3b96gacPmyJI1a5i23aVb51CtV6xEMXX503WIiMKqb9++6u+ZMwFnUCOiOBB8cndzx4H9B7Fhyzo1uwoREVF4Bp1kFrvZs2fj2LFjSJgwIbZs2cIOpjjv6pWrsLOz0ws8CVkmQ+X27t6LQoV5XEa+1ixbz64gIgoHrAMV8eIHd6dZIjMGnoiIKFzZ29ujRo0aaN68OTw9PfHx40f2MNEvrq5u6v8iMLLcxcWVfUVERESxJ/hkYmoCK0tLPHn8JHJbREREsdKPHz+wYMEC5MiRA0eOHMGECRNw6dIlpEsX9FTtRHHN33/nwu1bt7Fi2Ur4+Phol9+4fhNLFi5F/gL5orR9REREROE67E7OrpUuWxptWrZTM5yk9ldw3MjYiFlRREQUah4eHpgyZQry5MmDxYsXI0uWLOw9In9SpEyB4aOGYczIsZg1fTbsUqWEk9NX2L+yR7XqVdGgUX32GcX6YYPN2zaJ9LYQEVEUBZ/kQGf50hXq+qD/Bge438raClduXIrY1hERUYzm7e2N5cuXo1WrVjA1NcWJEyeQMmVKxI8f7KhvojitRavm6gTgvj37VNDJwtICRYoWUbPNERHFNoMHB/ytSURxKPhkZWWJS9d9p70MjIEBfzgQEVHQbt68iXbt2uHq1aswMTFBixYtkCqVfhYtEQVOMs47denI7iGiWK9q1apR3QQiisrgk5yVtrGxjow2EBFRLBteN3bsWFXTKUmSJFi1apUqLk5ERETk35MnvjWGM2bMyM4hiovBJyIiot9RvXp1VVC8YcOGmDVrFpInT86OJAoDGWq3YN5CPHnyFB7uHnr3lShZHH3/68P+JKJYo3Xr1urvmTNnoropRBRVwafv379j8cIluHb1Or45f9O7z9w8GZavXhaRbSMiohhCvi+kppOBgQH69u2Lbt26oXbt2lHdLKIYx9XVFQ3rNkaixIlQoGB+GBsb692fLj1nhyQiIqJYFnzq07Mfrl6+irLlyyBjxr/07kucOHFEt42IiGKAQ4cOoWPHjujduzd69uyJypUrR3WTiGKsG9duwNjYCPsO7UGCBAmiujlEREREERt88vLywrEjx3Ds1BGkSZsmfJ6NiIhiDUdHR5XltGLFCqRPnx65cuWK6iYRxXjePj7ImCkjA09EREQUqwQ5ZZ2Pzw+YJjRl4ImIiALYvXs3smfProqJ9+nTB7dv30bZsmXZU0R/KFv2rHj48BHc/dV6IiIiIoqVmU8mJsaws7PDwwcPkSVrlshtFRERRWtfv36FpaUldu7ciUKFCkV1c4hilSxZMqNNi7Zo2ryJqrGpy9rGmsdlRBSrdOrUKaqbQERRGXzy9PREhYrl0b5NR3Tt3gWpU6fSu9/I2AgFCxWMjDYSEVEU+/nzJ1auXKmKHzdp0gTNmjVTs9kZGRlFddOIYpXz5y7gyOGjv66fD3B/9ZrVMWf+rChoGRFRxGjRogW7liguB5+cnL5i9sw56vqg/wYHuN/K2gpXblyK2NYREVGUe/HihSoofvjwYVSsWBGNGzdGvHjxGHgiigAVK1XEpesXEVxmOhFRbPLlyxf119zcPKqbQqRnVc+tAXqk5cx67KXwDj5ZWVkGe/BjYBBkuSgiIooFfHx8MHfuXAwePBg/fvzAlClT0KtXLxV4IqKIIcElExNrdi8RxRk1atRQf8+cORPVTSGiqAg+xY8fHzY2PPghIoqrtmzZgp49e6J06dJYvHgxMmbMGNVNIoozw1y3bdmO7Vu349Ure1VfrXDRQqoMQuLEiaO6eRQF1ixbz34nIqIYTS99ydvbG15eXmHagJubW3i3iYiIooh8B9y/f19db9CgAbZu3YqjR48y8EQUiQYPGIr+ff6DYQJDlC1fFmnTpcG6NetRo3JNfPv2ja8FERERxezgk4y3LVeqAjZv3AJ3N/dgH/j582fMnT0PNavWjug2EhFRJLh69Sry58+PsmXLqh+4kgFbt25d9ZeIIof9K3ts27oNm7ZtwIrVyzFy9HDMmD0dp86dhLGJMTZt2MyXgoiIiGL2sDtra2sMGT4Y/xs9DqNHjkGp0qWQJ29upEyZAgnNzODs7IwXz17g8uUruHDuAnL9nQtTpk+KutYTEdEfc3d3x4ABA1RNJxneM3v2bCRKlIg9SxQF7t27j/z58yF/gfx6y5MmTYKmzZvi1s3bfF2IiIgo5td8qlS5IsqVL4uD+w+pWgMzp8/CN2e/FG9bW1sUK1EMazeuRsFCBSO7vUREFI6eP3+OKrUq4cWL52jevDmmT58OKysr9jFRFDEyMgpyaJ3zV2cYGxtFepuIiCJS/fr12cFEcbXguKGhIarVqKouUvTS0dERLt9dkDRZMnXmjYiIYodUqVLhr/R/Yc6c2ahWrVpUN4cozvsn3z948vipKm3QoVN7FYwS586cw6KFizFh0vg430dEFLvITLpEFIdnu9OQKbVlGIZciIgo5tu3bx8mTpyo/pqZmWHJgmVIlzl1VDeLiH4Nrxs7fgwGDxiC+XMWIKVdSlWT0+GjA+rWq4Mq1Sqzn4iIiCj2BZ+IiCh2+PTpkzq7uHbtWmTKlAmvX79GlixZorpZRORP3fp1UKBQAezfu18VILewtECRokVQuEgh9hURxTqlSpVSf0+ePBnVTSGiCMTgExFRLCfDpzdu3IgePXqoDAopLj5ixAiYmppGddOIKAipU6dCx84d2D9EFOv5+PhEdROIKBIw+EREFMt5enpi+PDhsLOzw4EDB5AvX76obhIRhYLU3PTNfLKEnV1KxI8fn/1GREREMVKkBp+2bt6GXTt3w83VFYWLFEbnbp2QMGHCINd/+uQZ1q5ei/v3HiBJ0sQoV6Ec6tWvCwMDA+06ff7ti8ePH+s9Ttbr1adnmNb5nfYREUXnbKf169ejXr16MDY2xsGDB1Vx8QQJEkR104goBC+ev8CwISNw+uRp7bI0adNgxKhh6viFiIiIKKaJtODTogWLMWPqTAwfNQyWVpaYPGEKrl29hjUbVge6/r2799Gzey80adYY5SuWV7VJJo2bhJvXb+J/E8Zq15OgkswMU69BXe0ycwsLvW2FZp2wto+IKLp6+vQpOnTogOPHj6sp2zt16oT06dNHdbPilA/vP2DZ0uUYNGTgb2/j3dt3mD1zjio+Hd4ZL5INN33qDPQf0C/EbR85dBSmpiYoVqJYuLaBAufh4YEWTVvBysoK8xfNRZq0afHVyQm7d+1Fx3adsWXHZuT9Jw+7j4iIiGKUSAk+ubt7YPaM2ejTrxcaN22klqVKZYcqFarh3NnzKFqsSIDHZPgrAw4e3R/goHhQ/8EYOmKIXq2S5LbJ8Xfuv4NtQ3Dr/E77iIiiY82EGTNmYNiwYeqzc9asWSoIFVs9e/oMq1asVicN/H9XrFm1FlZWlqhcNWpmBnNyclLZtH8SfNq2dTsSJ06sZp0Vjx4+wv59B+Dt5Y3SZUohX4HfHz4p/ebl6RWqoFbmLJnQpmU79Z1saKh/2LB+7Qbk+jsncubKqV22e+cenD93HoOGDlTtp7C5fPGyeo3XbVqjd6xTtHhR+Ph4Y8e2HQw+EVGsUqZMmahuAhFFgmCPOr9//67OjMoZuNrV6+pd2rRoG+onuXXzJr59+44y5cpql2XLng12qexw7sy5QB9jYmIc4KDY1MQUP378gLe3t97yHdt2ol6tBujWqTu2bdmuhpv4F9w6v9M+IqLopmHDhujXrx+KFy+OO3fuqALjsblGTKrUqdRn+5nTZwOcUJg4biKSJkuGmOz82fPoP7CfCj7t27MP/fsOQDzEU9+DbVq1w6aNm39ru/L45UuWo3GzxqFaX4Z7pUhhi6NHjuktl+9ROUawSZ5cu+z16zeYOH4S1q1ZDzc3999qX1zn8+MHsmbLEuiEAHn/yRvgGIiIKKYbM2aMuhBRHM586tOzH65evoqy5csgY8a/9O4Ly9nMt2/eqr/JbW30ltvY2GjvC80QgYXzF6F4iWJ6z22bIoXKTMqaLSvu37uPUSNG48rlKxg38X+hXud32+fm6gY3NzftbacvTqHaFyKi8ByiI9koUguvY8eOqFGjBlq1aqXNlonNjIyMUKNWdWzbsg0lS5XQLj908BCSJE2qpqWXz2jJQHr18pU6qVC7bi1t30ghZ8kuMjQwQI1aNbB86Qr826sHzC3M8ebNG8ydNU+tZ2lpifIVyyF3ntzaYeFnTp9BkaKFceTwUWTPkR2VKlfEjes3cejAIVhZWyF3CNm4Ibl75x5y5MqhzTTKkzcPduzepm27PMeGtRvRsFGDQB9//twF7N65W62f0i6l2m8pOC/k+0/6Tvd7fdqU6ShWvBgKFS6obh89fBTPnj5Hh87t1W0Z/r5rx261nxrXr91AypQpYWNjrV02fPBw/NurO/7r+/sZX3FdliyZcffuPXVMkcxcP4B66sQpFC9ZPMraRkRERBTuwScvLy8cO3IMx04dUWc9/4SXl+9ZOjnY1WViYgIvb68QHy9nVwf0HYgPHz5g4dL5evfNXTBbu135ISBnZ7t07Ib2HdupoXuhWed323dgzyHs2Lw7wHL7Z+/g/NkFEeGHzw+8eGQfIdsm9nd0wPd46F2/eR0Dh/RH/boN0aFtR2RJn11dXj5+HWf6vGih4ujdpxfutX+IhKa+E0SsW7ke5cqUw/1bj9C5cyekS5sOOXLmxPIlK3Bg7yEMGjgIDg4OaN+hHYoWKaqCMq2bt8XLly9RsXxlpLBNoYbNJbdOobYn67Zo0hqjRo5E3rz/4OrF65gzcy52bduNkiVLwsf9J7Zv3IkhQ4egdu06cHT4goXzFsHH269f3717h3Xr16F3r94qG81/n8v3nIuLCxIlSqRur162BlWrVtNbR/d1tX/+GsZGxkG+bu7fPH3b//MnHtx9hKrzq2PF8pUwNzfHsYMnkC5dBr3H2lqlQLdOPbBs6TK4urqi9799MX78BO06VslscPH8Jb3HbN2wDfn/ya9ddvz4MXh5euOvdJl92/jsDVydokf2U0S/x9NlTv1Hj5f32MP7D7W3c+TIjjo16qJF6xZImzYNnJy+Ys+uPbh18za6/ds1HFpMRBR91KlTR/3dvn17VDeFiKIi+OTj8wOmCU3/OPAk5GBXyFk8m+R+2UVfvjgiU+aMwT5WDsgH/TcYp0+dxvrN67RnbjX8B4yKFvctiPrwwUNt8CmkdX63fZWrV0Spcn5n2+XxowaNQ+oMKWBhqV/QPLzIwfOfHuQS+zs643s8ZBKkkLpOUt9JMjQLFM73R58LwfW5DOHzr3z58hg5cqS6XqtWLXz+/Fnv/rx582L27Nnqetu2bfHo0SO9+1OnTq1m4hP9+/fH+fPn9e6XWUYPHToUqrZLu6dOT4W7D26jQaP6+PTpE65cvYIJU8dh7+69yJjpLyxbtVSt6+7WHcULl0A8ox84fuqoyiCRkxOi4sXyaFi3MVKlT4nUqVNJK5GnYC7t8+TKkx0HjxxAnUa18PCZlRq6tm7LGiRJkkTd37RhM/Tu20ubKTR39jyVSaXpV8dvn7B79y5MnzNFZTPp9vnHDx8xeuRYxI8fD7PmzlTbdnH/jpLl9Qt8a7KxPn50UMGKWXNmIG26wF832XaZSiW1twf2H4RL1y6gU5eO8PTxQNr0qfVe83SZG+PW3ZtYsGgePn3+jNZtW6Fabb96WdJnjo6fkSajnXYo5+WrlzF73ky1HWdnZ6xctQJrN61BggS+37mpM9jpZUVFpej+uSKZav921Z+BV4weEXAYyoJ5izBn/qxIahkRUcST7zQiisPBJ6m5JIEeCdBkyZrlj54kR87s6u/Nm7dQoWJ5dV0OVCWlv237NsEGngYPGIojh45g3aa1yJQ5U4jP9fHDB/U3oZlZqNf53fZJcE4uRESR5cSJEyqg8/z5c7Rp0wZTp07VBtDjqrr166hafhJ82rl9lxoely59Oty6dVtljAwfMkJ9n8glXvz4ePzoiSreXbK038mDfPnzqaGLumTCCam79OXLFxXwkWF6Ghn+Sq8NPImHDx6pAtsaRYoWUcEnjTRpU6tZ6/w/h5CTHjKLa6mipVWtRZnVtYTOMELdbFwZ4mdt46D29/ixEypIFBipC3Rg30Hcvn0b3799x6OHj7VBI2mDZDf7N2zkUJQuXlYNM/y3dw9/2/NRj9NsQ/pChjRqjg8mjpuEhk0aquMG6SsKm4qVKuLS9YuhWleOz4iIiIhidPBJ6ipdunBJe1sCMe3bdETX7l1+nQn2Y2RshIKFfGtDhCRFyhQoVaYU5s9ZgBIlisPE1ESdvZWz25Wq+J1Z7dm9F9JnSI9efXzP/g0dNAyHDx5SgafMWXzT+HXJjwepi6Gp4fH1q7M6e2xra4tCv9oWmnVC2z4ioqgmw7ckiHLw4EFUrOhXfyeinDlzJtj7d+7cGez9y5YtC/b+yZMn40/VrVcH0yZPV5lBEpRp1qKpWm5oYAhb2+R63x9S+08yWhMkSABPTy+9mQIl40hj88YtmD5lOuo3qq9me5Piz3IyRsN/Rq3/7fkP7lhZWaF5y2ZB7kPSpElQumwpVVj83r0H+G9gvwDrSFBIsw2pf9iiSSu0bN0i0KLyEnC7c/sOKlWphFSpUqmMMBlOpynUfjaQyTRuXLuhZsB7/+493r//oGZ91fjw/j3s7FJqbx86eBjlK5TTHjtsWLdRBQEHDxiiCr6LCf+biNZtW4Y4Gy35BpRMTKIuS0yClVK/7MmjJ0hglEDVGNPU/9IldUDlvWNsYoyKlSqoYzYiIiKiMAef5Axx8yYtA6wkw978k2KnV274BapCMnnaJHRq1xn58xSEWSIz9eNp3qK56oBbQ87MGhomUNdllrm1q9epIFHfXvoH4TPnzFDD5ZLb2mLZkuUYMWykGnry2v41cufNjdXrV6oAkgjNOqFtHxFRVJAAj2SZNG7cWF1q164d6ExYcZVtClsUKVYEk8ZPxpMnT1CtRjW1XAqO7969F02aNdZmHF27eh2WVpbqe0ACKJLdKsGbA/sP6s2CKt9BLdu0ROeundRtmdUtOHn+yY0D+w4gX/5/1G0JIumSTKH5cxeo7KegZiBs2LghJk+YgvwF8qmTH7ouXbyEAgULaAuOv3/3AWZmZkFuS9o/cepEFUCQ/ZLAguY9I8vkZIsuOTHTr/d/mDB5nDphI9+76zet1W7/xo2bKFSkkHb9I4eOokfPbuq69O2osb7DMIVkbwkJ2iVNmjTYfqOo5+7mjkYNmqjSAdVrVFPDLufM6oBq1atiwuTx2vVmz5iDBfMWol6Duvj69SumTp6mhmmWLe83UzARERFRqIJPVlaWoU77NjAI2/TdUvdh++6tsLd/DXc3N3W2TDOLj8asuTNg8uvgOFfuXNi1b0eg25LZdYQEhuTAaOToEXj9+rUauqA7DCK064S2fUREkUkmWfj333+xadMmFC5cGI0aNVLBBwaeAqrfoC56du+tAk+akwZNWzTFmTNnUb5UBTVF/es3b/DDxwer169S2VGSJVW7eh1Vg8re3l5lL0ndJSFZSJJ9K0WgpRZFSPUo+vTrjcb1m+Lx48eqZuJXJ/3ZTx0cPmHdmvUY/b9RQQaMZEIMR0dHVK4aMOP29q07Kpspe/bscPziqDJQxowbHWR7Spcrgz7/9kHhokXw4P4DlYll/mvmNMn+kgCczFaX9588atnQQUNRtHhR9dwys50Uu166aJm2htXB/QcxeNhgbaBKsooL/sqMkeCTblaXDLuTrKe69etGm5pPFLRzZ8+poZ6nL5zSZrnL+6Jnt14YMOg/NfujzBY5Y9pMVZOsWo2qah3z4aPV/8iZsqWDfE8TEYVGrlx+NRaJKPbSi67IwYPmQFHOlMrZy8SJEwd4kOa+3+F/+J4u3ZpO8ryhTdWXDKaMmTL+8TohtY+IKDLIZ+yaNWvQq1cvVX9uyJAhGDp0qDbrhQKqVLmSyiqSbCcNCYosXLIAt2/dxpPHT5EqtR3yF8iv7ccde7bhzOmzMDQwUCc8CuQppD05UatOLWTMlEkFbtKmS4M0adPi/DnfwuhSd6ljl456zy9D+w4e248L5y6qzOAsWTPj+NEToar5pCHtmj5rGv7JlzfAfe06tEXFyhVx9fIVVa9w6owpahheUEaOHo4KFcqpoFmnLh3UkELHz47a+yWja+XylSrI8O3bNxQqXAi16tRU98mJl7kL5uDihUvqvXjr5i2VlawZhnXi2HEUK1E0yBM0SRInVvsqfyn6S5rMNyjprTNUVIZfSvadDK8Thw8dQcKEpqhUxW+ob4OG9bFi6QrcvHFLG8QkIvod8+frz2ZORLFTkKk9cpa2asVqgQ6tC+4+IiL6M3v27EHLli3xzz//YOnSpciThz/sQiInGIKqqZTr71zq4t/zZy9U3Rohw7zlBIXuCReZjEIzIYWoVbum9iRFYCcqrK2tUaNWde1tGZ4U2ppPGoEFnjSCet6gFCuhP1ueruo1q8HDw0MFpWSf/bdNZrrVzHYrxcYnTp2gvU9qSEktyN95LSjooW/u7u5I9is7LTLJUNEhwwaja6fuKFAwv6oNdu/ufcxdOEc7/PP5s+ewS2WnF3BMlz6t9r6ggk9urm5qyLCGDO0jIiKiuOm3xpV5eXnC2F+xVSIi+n0SBHj27BkyZsyIatWqYdWqVWjSpAmH/0agcWPGqSGM0veXL13GrHlxZ/p6ybKq37BeqNbV1LHS3i6QL4JaFXcdOnQYhw4cxpz5s1S9rsuXr6Bn738j5bllSObTp09VyQGpeSlZ8JIlJ0GlMmVLq3VcXd2QKFEivcdJzTHJ5NMUsg/MgT2HsGPz7gDL7Z+9g/NnF8RWP3x+4MUjv9kxw4OHhyeinZ8R167w7r/o+JpGR1G1nwOG/Kf+TvzfpEh5vrjyekbkvnq6B/zfD+p5Als3vP2MpOcRUf3e+RHD3r/pMqcOOvgkZ0LPnDoDZ+dvagabo4eP6t3v7eODE8dOIlUav40QEdHve/jwIdq3b49Hjx7hwYMHMDc3R4sWLdilEWzFmuU4d/Y8vn/7jnET/6cKlxNFhYSmCeHq4huMkYLfjx89ibTnlpkdd+3YjVPnT6gMPc1sxzIBTdFiRVSNMDOzhGp4pi4pvyCzREoQKiiVq1dEqXIl9DKfRg0ah9QZUsDC0gKxlfwo0D3YDg/GZ6LfSV8JPBkbR0y7wrv/ouNrGh1F1X6+eef7QzqynjuuvJ4Rua9GJgH/94N6nsDWDW8SeIqM5xFR/d55EYPfvwGCT1JItF3rDtrbutc1ZLrlKTOmRHzriIhiMck4mDp1KkaOHAkjIyNMmjSJs4NFIikwXqp0ych8SqJAZcuRFefPXcDA/oPw6dNnvHj+AhPGTQx83ezZtENAw8OjR49VTTJN4EnkzZdX1fuS+yT4JENSpUC/nJSUzyrx7Okz9Tdjpr+C3LZpQlN1ISIiIgoQfLK2tsLNezfw+dMnNKzbCEdP6Wc+yXA7qedARES/7+3bt6hevTquX7+uhtlJsU2ZdY2I4h47OztMmT4ZG9ZtwLNnz1WW0cnjp4JcPzyDTxkz/oUNazfg3dt3SJEyhVp2/qxvcf2//vpLmwk1dtT/VIaUZrimzN4odcFy5soZbm0hIiKiOBR8kjoQMk11kiSJ1bS7nNKbiCj82djYqMvatWtVbSfOZEcUt1WrUVVddu3cra3/FBkaNm6gnrNG1VqoVLmiKhK+b+9+tGnXWltwP6VdSgwaOhBDBw3D2dNn4eTkpGZDXLJiMT+7iIiI6M8KjssPIQaeiIjCz5kzZzBmzBhs2bJFzTB24MABdi8R6alYsQJKlvSrkxTRZBjdpq0bVP2zp4+fIIGREdp3ao/sObLprde2fRtVA+rC+YvqMRMmj0dy2+R89YgoXLI/KeZb1XNrVDeBYmrwSWo/9e7RO8gHmpiYqBoADZs0RKpU/MAgIgqKDKEZNGgQ5s6di5QpU6qZpfLkCXxq8phqXf+doVqv6eRaEd4WophMShsYmxhj6+Zt2L51O169soelpSUKFy2Ert27qMB1RJDAklyCI/Wf5EJEFJ42btzIDiWKA+IHdUe8eL4z2x07elwVnDQwNMSPnz9w4/pNHD92Qs2Kt3XzVlQuVwWvXr6K3FYTEcUQ+/fvR44cOVTgqVOnTrh3716sCzz55+nqiTf33quLXI9LHj18hD279kba882bMx/ubu6/PcvZV6eviIsePniI06dOI7oaPGAo+vf5D4YJDFG2fFmkTZdG1ViqUblmgFnniIiIiGJ05lOSJEmQMKEpevTsjt79eiF+fN84lZubG3r16I2cOXNiwZL56NmtF6ZPmYHps6dFZruJiKI9b29v9OnTRw1ROX78OEqXLo3YSjej6c3991jXzzcTqlyXYkidM2WEPa/9K3t1kqRVm5bhsj0XFxesXL4KJUuXRM6cOcL8+Lt37mH7th2oXrMaIsOk8ZPRuGmjME8EcvPGTaxdvQ4NGtVHXGRra4sObTth78HdEZZJ9Cfv6W1bt2HTtg3IXyC/XkZ6w7oNsWnDZrTr0DZK20hEFJ4GDBig/k6cGPgsn0QUyzOf3N091Ewr//buoQ08CakD1bN3T+zetUdNU92xS0fcv38/stpLRBStyfTku3fvhru7OwwNDdX1W7duxerAky4XJzdc3npTe3vz0H04PPe0Wh4Rnj59htkz54Tb9vbt2Y+pk6Zh1vTZiM0WzF2I5i2bIa5KmiwpihUvqrK/opt79+4jf/58eoEnIZPBNG3eFPfu8piLiGKXs2fPqgsRxdHMJxlW5+XlBR9vHxVk0uXp6anODgs5Yyg/toiI4rq3b9+iW7du2LFjB6ZPn45evXohY8aMiCskwLS2z3Z8/eA3LMjHywc39t3D86v2aDatDsySmUb4sLdHDx8jd97calYu04SmqFqtSoDvsaBInZ2OXTpg6eJl+OL4BeYW5tr7rl65htu3biNVqlQoW76M3okZ/16+eKkKOFtYWqB8hXIwMDDQ3iffnydOHEeCi4YoWKgAMmXOFOq2S5uOHD6qagKVLlMqwPOGpo3fv3/H0aPHMHHqhAD9luvvnKrdiRIlQpVqleHy3QUHDxxU61SrUQ1mZmZ6mX2nTpzC69evkTNXLvyTL69a/ubNG+zcvktNXGJpZamKZ9umsA2X12f50hVo2rwJjI2NQ1z306dPOH3yDN6/fw9HByeYWyVVM0zWb1hP3V+xckVMmzxNFdKOTiRTMqihdc5fnWFsbBTpbSIiIiKKsOCTnGFLkzYNRgwbieGjhmkPOD9++IhxY8ZpDzIvXbyEAgUL/HFDiIhiKgnAL1u2DH379oWrqytGjx6Nrl27IiaTWk0OLx3D9BjJeNINPOmS5YfnnkKBurlDvT3rtBYwSmgU5mFvkydMVkGPf/L9g4sXLmLfnn1YuGRBiI99/foNrly+gtnzZ+Lyxctq+nnNcD4Ziif1lSpXqaSCMzK0bu6CwLOjnjx6jPZtOqJQ4YJq3W1btmmfX4JH9WrVR5IkSZEtR1ZMHD8JI0ePQN36dUJsuwRTalevi/QZ0iNFClssnLdI73lD28Yb124glZ2dGl6v228Tx01CMvNkKiAmQxkP7D+IF89fIE/e3KpG0pbN29SsaELqTDVp2EwFmHLmyoHFC5eq4X/denRVJ62cnZ21250wdqIaQiaTlPzJ6yMkI61u/bohBp/ktaxeqQZy5MyONGnTYteO3bC2tkQbnUBTnjy5VXskGCfBtuhC+uXJ46eYO3seOnRqr4JR4tyZc1i0cDEmTBof1U0kIiIiCr/gk5g0dQI6tu2M3Tv3IG26tOosp5zNTZU6FWbMnq5+cL18+RL/9uoR9mcmIool2rZtixUrVqBw4cJYsmSJKjAe00ngSVO3Kbw8PvdCXUKr6ZRasMvmmzETFm5u7li3aa3KzJWATYE8hVS2kW7WTmBkEg0JGFlbW6N6zerqtib4dPL4SQwdPgQ1alVXtx/cfxDkdj59/oytO7cgRcoUKghTqmgZXLxwSW17yaKlSJ02DUYNH410mVOjYqUK6P1vX22NqODavmzxcmTLng2Lly1U627ZtBX9evfXPm9o2ygZetbJbQLNeN68faN6bslyalSvMbbt2qpONkmwKW+ufCqoIzPcLl2yDImTJMaqtSvUYz9+dED50hXQtFkTdeJq4GDf+h2agNHSxcsxftL/wvz6yP1S40hDhrMuW7JMG3yqVLkS/sqYIcDjli5aqtq9bNVSdfuf3PkwYuRwvRpXktUmQ2Pfv/+AjBmjT/BJTv6NHT8GgwcMwfw5C5DSLiW+fPkCh48OqFuvjspIIyIiIopVwSepN3Dy3HHs2LZT1dUwSpAA2XNkUwflcsAmdA8wiYjiCh8fHxWAl8/Cxo0bI3fu3OjRo4fe8CqKGtmyZ9UWkbayskKiRGb45PBJBTekyPbXr34zvMnr17FzB3V925bt6Ny1k7petXpVjB4xBo8fPVbD4ipVqagyUWQ4VJGihYOdbl6CjxJ4EpJdVLhIITUUToJPt27eQuWqfsGD0mVLw83dDa9e2YfYdtmGbiHzCpUq6D1vWNoYD/ECLJPvd81zp06dSvVN3n98Z2aUgubWNtYqACLBp8uXLqsA0KIFi9X/gVwkQ+fx48coWKggnj55ptaRoIm9vT1e6syKG9w++vfD54c2i0rI83xz/gYPYw9129vbK9D9k+F98hpqFChQAD9+/MCL5y/Vfup0hGwU0Y1kwhUoVAD79+5XBchl+GaRokXUe4mIKLYxMQnbpBlEFAuDT0IOEFu0ah45rSEiigHu3r2Ldu3aoV69eujfvz8qVaqkLrGJDHmTzKPQkiCBFBeXGk9BMUhggAZjqyK+QfxQt+F3GPqvHxQvnrY2oWTY6AYzEhj6riuBEsnslWFmMnRNyA/+rVu2qZMsjZo0QuEihVWNo+FDRqhAy6JlCwMNNvqvsyS3f/7wfX4JgMhQNb+mSRgoHn74+ITYdvVYnW3Hj68fQAptG21TpICDg0OAdhv8OqmkaZe8Tv7bqmmLt5e3arejo9/QTKmlZGFpqYYrjhgyEuUqlIWlpSVcXd1UwEgjuH30zya5jd5Jro3rNqFnn54qOyg4/l8DFSDDT5iYGOvNHufl6aWeIzqSAKAmMEpEFJsdOXIkqptARNEh+ERERH6TLUyYMAFjx45FwoQJVfHi2EpqLYV1yFuuCllUcfEg76+YBalzpkRUCurHvBQaz54jO+LFj6cNThUqXAg7tu7EfwP748njJ8icJTNatG6B5q2aI1fW3Hj29Jm2WLiue3fvqaCMhYWFGq526dJlNGnWWN0nz3HyxEkULVhc3ZbaTAkSGKq6RFJ/KDjyWCnS3bBRA3X79MnTAbJ9QtNGyWaSbKTQDEUMSt5/8qph97qBIXmu1GlSY9L4yejTv7f2xNWcmXPVfeGhTbvWoSo2niNXDpw8cQrNWjRVt69euwpTE1NVNkDj9s1byJI1s17tKyIiIiKKguCTFOFcvHAJrl29rnfWUpibJ8Py1csiqFlERNHLlStXVG2n27dvo3bt2pg7dy5SpozaQEp0U7RZfjWrXWBFx5MmT4yiTfWnjo8uJEC0d88+TJ85DeUrltMul+LxBfMWxpnTZ7F75258+PBRFal+9OiRKpidOk2aQLeXKHEiNG/cEmXKlsbpU6eRKVNGFC/pG2ySAtI1qtbCsOFDkT1nNlXPqN+AfnoZOUGRWdlqVKmJ7l3+VQXHZdu65Ps6NG2UjOZSpUvh6JFjqFmrxm/0GNCpa0fUr90QLZq2Qt68efDq1Ss8fPAIO/duVwXKF8xbqIboSX2p8+cu/HaAx3/NJ8MEhqrmk0ZQNZ/ad2yHWlVro1P7zkiXLh3Wr92IgUP+0xbvFocPHUGtOqHP7iOKDGuWrWdHU5wzadIk9fe///6L6qYQUVQFn/r07Ierl6+q6ZozZvxL7z5NvQYiorjg2bNn+PDhAzZv3qyG2+kORyJfZslM0WxaHTWrnaawuAy1k4wnCTzJ/eEtTZrUaN2mlfa2ZP7o1kUS7Tq0RdKkSYPchryurVq3RJlypfWWS3bb6P+NgreXFyZPm6SCPdev3lCBm0lTJwYaMJLn7z+wH3LlyolTJ0+rDKRatWtq75chXgcO78Oa5etgYBwfS1YsRr78/4Sq7VJHavf+XSpQJtk/azasVgXMTU19+zW0bRSdunTA5IlTtcEn/88tAbROnTvqPUayiGxtk/venygRdu/fiQP7fGfEK1OuDCZOmaCCO126ScAnLR4/foKSpUuiU5eOKoD3O6+P/5pP/gVV80lqSe07tBf79u5XdacmjJ+AqrX9hsZK1tfxYyewc8/2ILdNRESRY9euXeovg09EsVu8n0EUWvDy8kK2jDlw7NQRNXMNhczxsyN6d/4P0xdMUrVCIsKLR/ZqhiSKHOzvuN3nJ06cUIGJRo0a+RY6/vYtVg7RCY8+X9ffb2Y8T1dPOLzwrQVkldYcxmZ+AZCmk5lpEl59/qeWLVmuZk9LZp4Mca2/ZYijDD2sXCV21WqL7iLjOCmm/3/HpMwnDw9PGBv7ZROGp+ZtmyA6iQ6f2bF5P4sX980OPnPmTKQ8X1x5PSNyX1f13IroxNPdE0YmEfN55F/LmfUQlV7E4PdvkJlPPj4/YJrQlIEnIopzZDY0Ofu2aNEi5MyZE/Xr11dFm2Nj4CnC6kVlD1u9KIp8MowvrsqRM7u6REcXzl/EtavX0LV7l6huClGUCSoIF92CUkREFA7BJ0nVt7Ozw8MHD5Ela5YwbJKIKObas2cPOnfujDdv3qBbt24YP358oDOakT5mNBGFD8mwvH7tBruTiIiI4kbwSWZ1qlCxPNq36ajOvsmUv7qMjI1QsFDByGgjEVGkOHr0KGrUqIHMmTPj1KlTKFGiBHueiCJV9hzZcO/OXVXwXuqOEREREcXq4JOT01fMnjlHXR/03+AA91tZW+HKjUsR2zoioggmtZyk9kuaNGlQtmxZLFy4EC1btoSJiQn7noginRRtz5otK5o0bIbmLZrBNkVyxIPfBAfWNtbMSCeiWOXgwYNR3QQiisrgk5WVJS5dvxjkAw0M4kdUm4iIIoUEnbp06YKLFy/i/v37aoasjh31Z/giIopM589dwNEjx9T1m9dvBri/es3qmDN/Fl8UIoo1zMzMoroJRBSVwaf48ePDxsY6MtpARBSpfvz4oYqJS1FxGWI8cuTIIKd6JyKKTBUrVQz25J/U5CQiik2WLVum/rZt2zaqm0JEURF80rhy+Qrmz1mAB/cfqOEpZy6exrDBwzFo6EAkSpQoIttGRBTuPn36pGavO3nypJrad8mSJciShZMq/Kn1qzaFar0mLRv+8XMRxWYSXDIx4ck/Ioo7GHwiihuCHTu3acMmNGnQDImTJEajJo3g6eWlMqIsrSyxcvmqyGslEVE4SZYsmZq9bu7cuSoAxcBT+PP08MLb1+/URa7HZc+ePsORQ0cj7fnku9nd3eO3Hrt39z58dfqKuOjJ4ye4dPFStMrO3LZlO+rXboD8uQugZ/deePvmLcb/b0JUN42IiIgofINPkuU0afxkzF04BzNmT0fjZo2195UqVRIH9h34vWckIopkN2/eRO3ateHs7AxDQ0McOXIEXbt2VcF0Ch+S0aS5VKhSVru8XKXSevdFlO/fv6sgz4Z1G3HyxKlwC6K4ubmpgM6jh49+6/E3b9zCqpWrEVlGDB0JV1eXMD/u7p17WDBvAZImi5vDTy0sLdC/zwA1w1x00K9Xf4waMRp/5/4bZcqVgY/PD6S0S4nr127g6pVrUd08IiIiojAL8peXHLi7uLiiYqUKAe6zsU2Oz58+h/3ZiIgikYeHB4YNG4b8+fPj9OnTuHv3rloeL57fzFEUvlxdXHH5wlXt7S3rt+PIgWNqeUTZv3c/ihYsjtmz5qih4suXLke1yjWweeOWP972gX0HMWr4aMycFrsLPEvgqXnLZoirLCwsULBQAWzZ9OfvmT8lgc4jR45i78E9GD5qGEqUKqG9r1SpEjz5R0RERLGr5lNCs4Tw8fHB69dvkCqVnd59L5+/gE3y5JHRPiKi33Lu3Dm0b99ezWLXoEEDzJ49G8n5uRWhJMC0dsVGOH911i6T75Gb127j+dOXaNa6kfpuCe8f6j2798bkaRNRq04tvUyoWzduqevv373HwQOHIDFHS0srFClWWAUbQmPr5q1o06411qxeq07K6GYG3b93H7dv30GqVKlQpGjhYIOa0oaLFy/B0sICxUoU07tPhsmdP3ceX52ckC9/PqROk1o7ZO/Z0+f4O8/fuHD+AhKaJkSZcqXVsFGNb9++4fTJ0zA2NkbR4kUDPG9o2ijZPocOHsaY/43WLtM8d85cOVS7EydKhNJlS6tMsONHT6h1ylcsr1f8WoaKXbp4Ga/tX6vHZc2WNcT+D80+Bmfj+o2oU68OjIyMQlz361dn9Rwf3r/Hz5++yywtLVG9ZjV1vXKVSpg9cy5atm6JqCR98k++vAGOvYQcez198ixK2kVEREQUIcEnOZArWbokunbsiklTJ8LC0lItd3dzx+xZc1GpSsU/emIioogiP4I7d+6ML1++YNu2bahTpw47O4w8PTzxySFsGa6S8aQbeNIlyyUDKn+hfKHenpW1JYyMgw8qrFu7AfkL5NMLPAmZEEMTjJGAydMnT9X1E8dOYuTwUdi8bSPSpU8X7LbfvX2HC+cvYuqMKWqo0+5de7TZQTK8b/KEKSpQsuvdLmzZuAXTZk0NMpjQrHEL5M79Ny5duowCBfKjZ4/e2oBIo3qNYWxijLRp02D40JEYP3EcqtWoqobsTZsyHYkTJ0b2HNlw9fJV7Nq5C7PmzlSP/eL4BfVq1Ye5hQVsU9hi1sw5es8b2jbeuHYDKWxtkcw8mXaZPPeUiVOQ0MxMDf06c/oMSpQsjocPHiJjxox49OgxNm7YhNXrVmqzDNu0aAtHxy/IkTMHpkycio5dOqBt+zbB9n9I+xiSCf+bhMpVq4QYfHJwcECDRvVVEC5N2tQ4dOAwrKyt9LK98vyTB7dv3VbBuIQJwzdIGhZJkyXD82cvVODWfxDu5YuXsLG1ibK2ERFFhHXr1rFjieL6bHcjx4xAkwZNUbl8VZibm6szrAX+KYQcOXKoA8qwsrd/jcMHD8PN1RWFixRGvgLB/wiRA68zp8+qM7dJkiRRqeepU6fSW2f1yjX48P6D3jI541q5auVw3w4RRW/Hjx9H4cKFYWpqik2bNqlMJ/nsorCTwFNoZ7ALrccPn6pLaEmNqJSpUgS7zqMHD5EzV07tbU2WjZDP+zr1aiN9hvQY/b9R2nWmTpqGpYuXYcw4v0yfwGzbul19TyW3Ta6yY6QAtCZYcejAIYwYMxw1a9VQt29cvxnkduS75dipIyqjSQJGpYqXQfmyFZAuc2osXbwUFhbmWLNhtapBJvUUhw4ahoqVfYe8S52y3ft2qsCQbKdw/qKYMHm8Co4sX7oCadKlwfJVy1RG09rV63BTpx2hbePrN2/UcHr/vru4qKFf8tznzpxD00bNsWHLehQuUkgFaP7JlV8VwZZaRFIXS7KJ9h3ao/ZDllepWA316tcNsf+D20f/HB0dsXvnHu1tCXptWLcBJiYm6nbpMqWQNl3aAI/bvHkTsmbNglXrVqq+kvpgvXr0RsvWLbTrSBaUtP3d2/f4K2MGRJW8/+SFy/fv6N/7PwwePki73P6VPTas34jFyxZFWduIiCJCmjRp2LFEcUCw1XYl5fvAkX0YN/F/6ixs0+ZN8L8JY7F242qV4h8WcuBaoXRFXL54Ge/evUer5m3U2c6gyHC/imUrY9mS5Sp74eyZcyhfugK2b90RYEa+mzdvqfZoLoaGCcJ9O0QUfcn/dps2bVC2bFnMmDFDLcuaNSsDT3GAz48fSJDA77Nak2Vz4tgJzJjmlz3z5s0b7Nq5G6tWrFLvl8ePnqjl8l0ggRPNZc2qtdrHSLCpeg3fIVny98b1GyqLSZQuWwpLFi7Bzu07VcAkT97cQbYxe87s2qF05hbmavjbvfv3tQGhKtWqaIvfV6pSCc7fvuHVS3t1O0eO7NqMJAmCJUpkhk8On9Tt69dvoFLlStqhdNWqV9V73tC28eePHzCIH3CYm+5zS5aSFOuXukhCAkM2yW3w8aODun3h3AWYmyfDujXr1cmco4ePqu/Rx48fB9v/Ie1jYBl58vpqLj4/fPDi+Qvt7e/fAy+2/vTZU9W3mr4qV6EsPL081WN1xTeIjx8/fBCVZCjjlBlTsH/fARTIUwjDB4/AyeMnULZkeTRs1AB5/8kTpe0jIgpvO3fuVBciisOZT8LMzEwFnf6EzJw3eMAQ1GtQVwWvRLHiRdGtcw/UrlMLGf4KeIZRUuiXLF+kzphqTJ86Q50Rrlm7hl4quhzId+3eJdDnDq/tEFH0JMPqunXrhg8fPqB37974999/o7pJsYIMeQvL7HQy1FGKi0umaVDk87Z+kzqhnmVQ2hCS9OnT4fFjv0CGJstGsp/GjRmvlh3YfxAD+g1EsWJF1axm799/UNk24uXLl3D87Kh9vARYhMwqJsEMGa4lQSlhaWWpAlL9BvRVdYEKFiqIE8dPolvn7kiRMgVmzpkR6L4l+LVNv+dIAB9vb3Xd28tLL3gmwREJBHl7e/muq3PfrxVUXwvZhqa9vuvqP09o22ibIgU+fQoY7DH01y4JzOg+Np5OWyQDSS66swJKDSXJPguu/0PaR/9keKFuFpVkQQ0cMhBJkyZBSPy3PX68+EigM1xP2iTBrehQ01IyuI6ePIwd23eqjCcZlliuQjkUKlwwqptGRBTuJk+erP7WqqU/hJ6IYhe9I1U5cJSD1NCQM5pycBQa9+89wIsXLzFjjm9GgqhYuaI6KJUip527dgrwGBsba0AuOqRehouLC5ycnFR6vMbNGzcxa/ps2KZIrgq52tnZhft2iCj66dWrF2bOnIns2bNj+/btasgdhQ+ptRTSkDf/cubOroqLB31/DqRKE76fq3JSo0mDZiqDKKjMnu1bt6Nf/z5o8WuI1YJ5C7Hz9Rt1vVefnkEWGs+cJTOcvjipi/j771xqW33/64NXL1+pgtpy6di5A/7OlkcFqzJlzhTod6DUdpIAiaenp6prVLK37/enPF6GhTdu2kjdlvskMJI2bVrcu+ubHRWULFmz4OKFi6qWkTh/7kKA+kChaWOevHlUEE6yxmTI6u/IlTuXylbSDQxJtpMMfZ06eVqQ/f+nGjVtCONQFBvPmDGTynzWnEy7dPESEhgl0BuCf+fWHdU3oQlkRQYZzsgTYkRERBQrg09ycNypXedQPVAKdV65cSlU62qGKaTTqcMgZ8BTp0mlvS805AygbEM3YCRnMiVo5urmir179mP4kJEYP2mcqvMR0dtxc3VTB+samh8oRBRxJJNSsiLkM6RatWpImjQpBg8eHOahwBT+ipYorGa1C6zoeJKkSVC0RKFwf84CBQuoTKRG9RujRs3qyJgpo6pHtH/vATWcS2TPkV3VR3JxdVVFxKX2oBR1Dop8F0hx8YlTJqjsHd0Z9ArmLayCPDLLmmTJ5M6bG48ePkaSJImRyl8tQQ2pR9SyWStUrFQBJ4+fhF0qOxQs4JvB0q5jW9SsUhu9e/RBugzp1LC/nn3+hYmpbw2j4EjtxRpVaqmsIskIkn3WJUPbQ9NGCbZIVtLxo8dR1d/QvdDq0rUz6tSoi84duqhglgTnrly+it37d4a5/4Pjv+ZTihQpVOFzjaBqPjWo3wBdunXW9rMMDezdt5fe58aRw0fVeyg6kf2VzCeZ9MXOLmWoswaJiIiIonXwydraCncfBX3WWldYDoAkoCMSJU6kt1zSyF1d/YI3wVm/dgP27t6HlWuW6y2fPmua3rA9yVwaMnAoSpQqDisrqwjbjjiw5xB2bN4dYLn9s3dw/hx43Yk/9cPnB1488q0FQhGP/R29+vz1a3sMHjEIRQoVQZeO3ZApbVZ1effyY6S3MzYJz/d5iRLFVS0iKTit+a6QekHZsmXFxzcye17YZtALDZkUI1vmHDh39iyePXoOSysr9OzRCzlz5lT7Va1yDRgZmODFkxdIlTo1Ro0cjUuXLwfzPnuN8uUqIGO6zAHW6dK5C54+eIZePfrgzJnTuHfvHlLYpMC8uQvwwT7g0DXTBAnRonkLZM6cBRcvXkDhgkVQtWo1/PzxU7vtRQsX4+jRI3B4/xkD/huI/Pnyq/vksf/k/kevDdWqVIPTp2944eW7bO6ceeqxHi6eGDvmf2rGIGmH8yeXULdR1KxeC0sXLUf2zLm07dZ97m/fv6FmjVp6bSlTuiw8XLy0y+bPW4gjR47g5TN72KW0w8zprdT/ZnD9H5p91CXDIK9fCbq4e8rkqfDTM+DxiYW5BRbOX6Tt5yGDhiBvXr/ndXd3x4F9B1V//s7/ghSPD09Si2rYkBE4ffK0dlmatGkwYtQwNfyOiIiIKKaJ91PSCCKYBHuk3sT121dVsVWN6pVrIkfO7OrscnB27tiFfr36q/Xq1g9+ynQpflowbyEsX7UUZcqViZDtBJf5NGrQOExfMEnVtYgIclAc3ge5xP6OTgJ7j0sdoXnz5mHQoEEq62nChAms7RTBfR5WujPjeXp4aQtGS50kYxO/YVFhqSMVm0XHz/K5s+aiWYtm2uLfcam/79y+o4Yk1qoT9fVGJPOufOmK6sRXx87tkSZtWnx1csLuXXvV5ChbdmyOsUXHpb5a787/RehxUkz//16zbD1iCg8PTxgbhzzsNTw1b/tndWhj02d2bNrP4sWLq79nzpyJlOeLK69nRO7rqp5bEZ14unvCSOd4MyK1nFkPUelFDH7/hlhwPDxopix+9uw58v0KPnl7e8Pe3l4V/Q6OpNfLdMMyBC6kgJFm1h7NWcyI2I4u04Sm6kJEEef+/fto3749zp07h9KlS2Px4sXImDEjuzwaMzJOEOZ6URT1uv3bDXFVzlw51SU6kFmBvb28sW7TGr0aXEWLF4WPjzd2bNsRY4NPRESBmT17NjuGKA6IlOCTFDvNkCG9OmOXL/8/atm+vfvx/dt3VQNDQ6ZgtrGxQeWqlbUZU3179cO4if9D/YYBI4wydbS3j7deYXCp4yCFcvMVyK9dFl7bIaLIJ0OG7ty5g0WLFqkglGaqdIpemNFEFD58fvxA1mxZAi3+nvefvCpLi4goNsmbN29UN4GIYkvwSUyYMh6tm7eFw0cHVax8z6696NOvl6oForF+7UZVmFSCTzLLT8/uvdTMM1L7YMrEqdr1WrZpqWax8/TyQoc2HVRx0VSpUuHunXvqoGz8xHG+s9zJD9dw2g4RRZ5r167h6dOnaNCgAerVq6cynnQnCCAiiq2yZMmMu3fvqaH8/odAnjpxCsVL+g5PISKKLTTD7TTD74godoq04FPBQgVx7NQRNZuMu5sbNm5dj1x/+xY21WjVpqW2uHeiRGbo2fvfQLelSXyQKZJ37dupCnI+f/5CzbBTpFhhvQLh4bUdIop4UkNt4pTxWLxskZpqvnbt2kiQIAEDT0QUq0kh9Yf3H2pvy0yNMntgi9YtkDZtGjg5fcWeXXtw6+ZtdPu3a4S0QWpdbt+6Xc2ulyNnDjRoVB+GhvqHiQf2HcDZM+fULIEyM+I/+ZitQER/buDAgZFa84mIYnnwSchU0M1bNgvy/sZNG+nN6tKjV/cQt2lkZBTszC/htR0iilinTp1Sw+oeP36MZs2aYcaMGSrwREQU250/dwH/du0ZYPnoEWMCLFswbxHmzJ8Vrs9/5fIVtGnZDsWKF0XxEsXx6OEj1Z55i+Zq1xk5bBR27diNNu1a4+vXr2hYtxGmTJ+E2nVrh2tbiIiIKHaK1OATEVFgzp8/j1KlSqlhr0sXLkfbjq3ZUUQUZ1SsVBGXrl8M1bomJsbhPrte987/onqN6hg/6X/a5R8/fNRef/zoMVYuX4UVa5ajVOmSapnUpBoz8n+oVqMaTxQQERFR2IJPX786o3eP3iE/CkDSpEkxffa0UK1LRBSYDx8+IHny5ChcuLDKdGrTpg0c339lZxFRnCIBJROTqKkxefzocbx//x5de3TRW26T3MZvnWMn1HFfCZ16UzJb8eyZc3Dj+g0UKFggUttMREREMU98/zWQkiRNor14+/jg2NHjePjgIeIbGKgZWK5fu6EOQkwTBpyFhYgoND59+oTmzZsje/bsKgAlM9j17NkTSZIkYQcSEUUimWTF2sYaP3/8wMTxkzBy+Ghs3rgF3t7e2nVkwpYUKVMgfny/w8bUqVOrvy9fvApy226ubnD87Ki9SBF1IiIiipv0Mp/kh9+M2dO1tzt36IJOXTviv4H9YWBgoJa5urri3269kCJFishvLRHFaD9//sSmTZvQo0cPfP78Gf369WPAiYjIn1s3b2HW9Nl4/PgJPNw99O6rUKk8xowbHW599v37d3h5eqmaT3Xr1YalhQXmzJqLTRs2Yf3mdarouLu7BxImTKj3OBNTE3Vs6O7uHuS2D+w5hB2bdwdYbv/sHZw/uyC2+uHzAy8e2avrR48eC3SdcuXKBrrc4//t3QV8E+cbB/AHWipQb3G3Am0pVigUt8LQMbS4jeE63HXDfbgO/vjQDYYNd3enuFN3yf/zvCVp0iZtQiNt8vvyKUkul7v33rtc3nvulahoyjAk+k+vNF8NuU+NmaG285ceCTUv9bVuU9mfutzW6Mj0da6S6DFNhj524jPY8VvINeFmVYp9PnFB48Txk3Tr/g1Z4Ilx4WPIsME0ZOBQtTryBgBg3EFt586dad++feTp6Un//PMPeXl5IXMAAOR8/fqVOrXvQh4e7tSi5Y9iQBR5xV2LazW/bO1sKTAwkP5YsYR8qvmIafUb1KeaVWuLmu71feuRra0NBQcHK3yOX8fFxYnPq9KwiS/VrFtd9pprPk0ePYPyF8lNTs5OZKz4okBa2LY8o7j/lBXG5amaPz3iwJOlpX7Tqyrf9LlPjZmhtrOQq+oBqXTBVPanLrfVwip9nas48KSvNBn62PHPwMeveUodUHKVay5YJBUdHU1hYcZ7xwoAtM/GxkYEoKZNm0YjRoxAB7UAAErcvH5TDL6waeufokmyrpUsWUI8upZ0lU0rWKggWVlZ0fu378TrEiVL0LYt2ykiIkJ0NM54RDzxXonEzyXFXTSgmwYASM39+/fFY6lSpZBZAKbS55M8e3s7KlS4EI0dNZ5CQkJk09+/e0/Tp0wnr4oV9JVGAMignj59Su3btxdBJ65Befz4cRo7diwCTwAAKphnMSeX7C56CTyxmrVrkpOTEx3596hs2ulTp0VzutJlPGVN/Tg9WzZvlc2zbs0GKlHSlUqWKqmXdAKA8fr555/FHwAYN5U1n9isuTOpV/de5F2+irgLFhMTQy/8X1CRooVpzLjR+kslAGQoXGNy4cKFNG7cONFBbc+ePalOnToKndUCAEByFbwq0KjhY+jli5dUoGABnWdRtmzZaN6iuTSw3yD658A/ZGlpSWfPnKMhvw6msuXKiHmyZ89OM2ZOpzEjx9Lxo8fFDYV3b9/R+k3rsAsBAAAg7cGn8hXK0Ymz/9Gev/bS0ydPRb8Dbh5u1KRpY4V+oAAApO7cuUM9evSgS5cuUf369WnlypVUqFAhZBAAgBq4b83hI4dR4wZNqHbd2uTg4KDwvoenB7Vp21qreVmrdk06dfYEXbhwUdwkmDx9EuXNm1dhHu5/yqdqFbpy+SpZWFpQFZ/Kojk1AAAYt42Ddhk6CWAKwSfGBYuOnfXbCRwAZNzR7Lp27Sqa261bt466dOmit6YjAADGIDIikmb/PodiYmLpyeOEG3/y7O3tdbJeB0cHavhDgxTnyZkrJzVu2kgn6wcAAAATDz4BAKTm8uXL5O7uLu7Yb9y4kRwdHSl37tzIOAAADV26dJliYmPp9IWTorkbAAAAgNEHn0JDQ2nVitV07ep1CglO7HScOTo60Lo/1+o6fQCQjvGol+PHj6cFCxaIx8mTJ5Obm5uhkwUAkGHFx8eTp2dpBJ4AwGT079/f0EkAAEMHn4YO+pWuXr5KderVpmLFiiq8Z2trq+u0AUA6duzYMTEyyfPnz6lbt240aNAgQycJACDDK1HClR48eEhRUVGi828AAGPXrl07QycBAAwZfOKR7XhEk+OnjupltBUAyDgmTZokajkVLFiQ/v33X/L19TV0kgAAjIJ5FnPKly8fde3Yndp39BM1zeVlz5GdSpQsYbD0AQBo28ePH8Vjjhw5kLkAphh8iouLJ+us1gg8AYBCh+LcgXiNGjVowIABNGPGDIx2BACgRefPXaAL5y98e34+2ftNmjWhJcsWIc8BwGj89NNP4vHMmTOGTgoAGCL4ZGVlKYbZffjgIe6wAZi4Dx8+0MCBA8nT05PGjh1LderUEX8AAKBdvg186dL1i5RS+QwAAADAaIJP0dHRVN+3HvXs1ov69u9D+fPnU3jfwtKCKnlX0kcaAcCANZ02bdpEgwcPpuDgYDGiHQAA6A4Hl6ysMModAAAAmEjwKTAwiBYvXCKejx4xJtn7Ltld6MqNS7pNHQAYzMuXL+mXX36hQ4cOUfny5WnNmjVUtmxZ7BEAAAAwiE1rtyid3rG7n97TAgAAWgo+ubg4p1jt28wss4arAoCM5Pr163TixAmaOXMmDR06lMzNUxwcEwAAtODypcu0cvlqle9XqlSRfu7dE3kNAAAAGYrKq8nMmTNTjhyo9g1gSh4+fEh3794VHT82b96cnj59Snny5DF0sgAATEbmzGZkaanYr1NkZCTduHad4uMl5FO1isHSBgCgC35+qLkGYApSrcpw9co1Wrl8JT15/JSyZMlC7h7uNHBwfypYqKB+UggAOhcTE0Nz586lSZMmkZOTEzVq1IisrKwQeAIA0LMKXuXFX1IhISHUtqUflStfDvsEAIxKv379DJ0EANCDFNvO7d29l1r92Jrev3sv7rSVKetJ165cpQZ1f6A7t+/oI30AoIfmdd7e3jR69GiqW7cuXbx4UQSeAAAg/bC1taU27VrTkX+PGDopAABaFRsbK/4AwIRrPs36fQ6NGTdaoW+BuLg4GjFsFC2cv5hWrV2hjzQCgA4DTxUrViQHBwfavHmzqPacKVMm5DcAQDodgfTz58+GTgYAgFbVqlVLPJ45cwY5C2CKwaegoGBRwOnWs6vCdDMzM+rVuyd174LOLgEyqoCAAHJ0dBSj182YMYO6detG2bOjjzcAAEMLDg6md2/fKUyLj4+nZ0+f04o/VlK/AX0MljYAAAAArQefLCyyUFxsHEVERIiq3kkLRkk7wwSA9C80NJTGjBlD//vf/0TH4jlz5qQRI0YYOlkAAPDNif9O0sC+g5TmR+Omjaldh3bIKwAAADCe4JO1tTWVKVuGRg4bRdN/n0aOTo5iuv9zf5o0fgpVreajz3QCQBr9+++/1KtXL3r58qV4RL9OAADpT63aNenfYweT1TrPlTsX2djYGCxdAAAAADrr82nqjCnUvXMP8q5QhfLly0vRMTH09s1bKuVWiob8OjhNKwYA/QgPD6c+ffrQxo0bqWjRonT8+HGqXbs2sh8AIB2ys7MTfwAAAJD+bBy0S+n0zgtb6j0tRhV8cnMvRcdOHaE9f+2lJ4+fkIWFBbl5uFGTpo3FXTgASP+4hpO/vz8NGzaMpkyZQlmzZjV0kgAAAAAABF9fX+QEgKkHn1i2bNmoQ6f2+kkNAGjFu3fvaPz48TR79mzRsfixY8fI3DzVrzsAAKQDr16+ouV/rKAnT55SVGSUwnvVa1SjYSOGGixtoB2b1m5BVgJ8M2HCBOQFgAlQ62o0LCyM/J+/IEtLC8pfID86GwdIx8Nwr1u3TtRy4u9t8+bNqWnTpgg8AQBkoKbSbX5qRza2NlSxkleyMlehwoUMljYAAAAAnQSfuAA0Y+pvtPV/2yg2NlZMs7W1ob4D+lLvvr9QpkyZvnvFAKBdz58/Fx2JHz16lLy9vWnNmjXk7u6ObAYAyEBuXLshbvb9c/gAZcmSxdDJAQDQuSZNmojHAwcOILcBTDX4NGr4aLpy6QpNnjaJPEq7U0xMDF08f5GWLvpD9PnUq/fP+kspAKSoY8eOdP36dZo3bx4NHDgQ/bIBAGRAsXFxVKx4MQSeALTQjLFjdz/kYwYQGBho6CQAgCGDT5GRUfTPgYN04NA+KlmqpGy6V0Uvyp0nD61YtuK7gk8v/F+IGlXqFqw44OX/3F+M/JIzV85k7z988JDCwsIVpjk7O1HBQgW/a92apg/AkO7du0cFCxYUfbOtXLmSrK2tqUiRItgpAAAZVCm3kvTw4SNRDrOyUmxyBwAAAGB8NZ8kEtHPgHzgSapc+bIUGxun0Yo+fvhIP3fvRc+ePSdbGxuKjomhhYvnU9XqVZXOHxwcTPPmLKBdO3ZRrly56NPHT5S/QD6at3AuFXctLpvv1yHD6cvnL5QjZ2Jgqk7d2jRwyACN1q1p+gAMKTo6mmbOnElTp06lIUOGiOdoYgcAYBxKlHClbp26U/uOfuTo6KDwXvYc2alEyRIGSxsAAACAVoNPVtZWlCt3Lrp86TJVrFRR4b1TJ0+Tm3spjVb069ARoibR5euXxJ28mb/Noj6/9KPT506SvYN9svk/fvxEBQsWoMvXLoq08B3AAX0H0i89+9DxU0cV5u3YpSP17d8nTevWNH0AhnL58mXq0aMH3b59W3QoPmjQIOwMAAAjcf7cBTp65Ni35+eTvd+kWRNasmyRAVIGAAAAoKXgE9emuHThkux1g4a+1KPrz9Sla2fy8PSgmOgYunjhIm3bup1+mzlD7ZW8e/uOTp04RavXrZJVIedg0ZqVa+nQwUPU1q9tss8UK1ZU/Enx59r5tRHp+fLlCzk7O8veCwsNozt37lKuXDnJxcVF43V/T/oADGH+/Pn066+/iuN8+/bt1KpVK3T8DwBgRHwb+NKl6xdVvo+meABgbLy8vAydBADQd/ApMDCIOvp1TjbT4oVLkk37bfrv1LL1T2qthANDzLOsp2yara0tFSlahO7euad2Ynk5PNqeo6OjwvTVq9bQkcNH6fWr11S8RHGaM2+WrGmeOuvWVvoAdEUikYggU/ny5alDhw4iCCUfgAUAAOPAwSUrq+yGTgYAgN4sWLAAuQ1gasEnFxfnFO+2yTMzy6z2SgIDEkYwcEjSfI2DSAEBAWot497d+7R86QrRl1PmzInr7tS1EzVt1kR0tMz9RA3sN4h6df+FDh49KApw6qz7e9MXER5BERERybYTQFuCgoJo5MiRlCdPHpowYQLVrFlT/AEAAAAAAABkyOATB3Vy5ND+3bYsWcxlzfosLCxk0yMjIymLeeojyj1/9py6dupGPzRqSL37/qLwXpu2rWXPeUS8cRPHUb2a9enWzZtUybuSWuv+3vQdOnCY9uzYn2z6q2fvKPhLGOlCfFw8+T96pZNlQ/rK72P/HaVxE8fQ+w/vqXuXHiaz33GMI89NAY5z48rvQq75dbZsAABj16VLF/G4YcMGQycFAAwy2p0W5c2XVzx+eP+RbIrZyKZ//PCBqqUympz/c3/ya92BqvhUptnzZ6Xav0327AnBs/fvP6i97u9NX8MmvlSzbnWFmk+TR8+g/EVyk5OzE+kCF55RyNUfQ+T3p0+fRCfiW7ZsIVdXV9q+YztVr554nBk7HOPIc1OA4xz5DQAACZ4+fYqsADABegk+lfb0FH01HTt6jIoWKyKmcV9Kb968JZ9qPrL5Htx/IJrPFSxUULx++eKlCDxVqlyR5i2cS2ZmZgrL5RHwLC0tFAJSZ0+fEY/FixdTe93qpi8p66zW4g9Amy5duiQ6Ex81ahRNnDiRrKyskMEAAAAAAADp1MZBu5JN67ywpUHSYtLBJ+57adDQQTR31jzKmjUruWR3oTkz51KNWjVEjSapIQOHkZu7G81dMJs+vP9Afq3bixpEnbt2ops3bsnmK+VWUgSpnjx+TJPGT6Y27VpTvnz5RMBo8aIl9FOrn6iUWym1161u+gB05dWrV3T9+nVq1qwZNW7cmB4/fkyFCxdGhgMAAAAAAECGp5fgE+vZq4fo0Hzfnv0UERFJTZo1pl/69FKYp1SpklSwYAHxnGsdZc+RQzyfNnmGwnzzF82lwkUKk0dpD5o8bTJt/nMz7flrL+XMmZN+nzWDGjVppPG61ZkHQNvi4+Np5cqVNGLECMqSJQu9ePGCbGxsEHgCAAAAAAAAo6G34BP78acfxZ8q8xbNlT0vX6Ec7TnwV6rLdPdwoxkzp6d53erOA6AtXLupZ8+edOrUKapatSqtXr1aBJ4AAAAAAExFoUKFDJ0EADC24BMAJLh//z6VL1+ezM3NacmSJdSnTx8x2iQAAIChxMbG0qjho+njx0+0YPE8cnJyUnhvy6YtdPbsObK0tKQmzZpQfd962FkAkGabNm1CLgKYAFztAuhRaGioeCxZsiSNHj2a7ty5Q/369UPgCQAADG7+nAV09fJVOnXiFEVFRim8N2zwr7T8jxVUq3Yt0T9nv979acO6jQZLKwAAAGQsqPkEoAdRUVE0bdo0WrFiBd28eZNy585NEyZMQN4DAEC6cO7MOTqw/28aPXYk9f65r8J7d27fob2799HOPdvJq6KXrM/CObPmUlu/tmLgFgCA7zV06FDxOG/ePGQigBFDzScAHTt37hyVK1dOBJ9q1apFZmZmyHMAAEg3vnz5QsMGDxejDSvre/DkfyfJ2dmZKnhVkE37oVFDCgkOoWtXr+k5tQBgbC5duiT+AMC4IfgEoMPaToMGDaJq1apRQEAA7d69m7Zv3045vo3iCAAAYGgSiUQ0qWvdtpWsVlNSr1+/oVy5c1GmTJlk03Lnyf3tvdcqlx0RHkFfv3yV/QUGBOpgCwAAACAjQLM7AB3JkiUL3bhxg7p3706zZ88mR0dH5DUAGMyWjdvVms+vcxudpwXSj1UrVlNgQBANHDJA5TzR0TFkZWWlMM3CwkLU5I2JjlH5uUMHDtOeHfuTTX/17B0FfwkjYxUfF0/+j16J51FR0WS0JOl/+6T7QZv71JgZajujIhL6mNPXuk1lf2prW6Mj0/f3nEnSaTp1cZzFZ7Djt5BrftlzBJ8AtIhrOE2ePFn058SjBB0+fFiMCgQAkJ5ER8XQ50+fxXOX7C5kYZnF0EkCA9m4/k/R1K57l57idWBAgHgcMnAYNW3ehDp0ak92drYUGKhYayk4KJji4uLI3t5e5bIbNvGlmnWry15zzafJo2dQ/iK5yck5cSQ9Y8MXBdLCtuUZCzJWHHiytLTIMBc92tqnxsxQ22lpnVBW1te6TWV/amtbLazS9/ecvgWe0mM6dXGc+Wfg4xfBJwAt4WZ1ffv2pQ8fPlDlypWpXbt2CDwBZACmUiNIPv1vX7+TbXf9H+pQnnwJTajA9MyZP5siIyNlr+/dvUe3bt6mtn5tqHSZ0mIaj263+c//UUhICNna2oppd+/cFY+l3EqpXLZ1VmvxBwCQEul5BfRn46BdSqd3XtgSuwF0BsEngDR6//49DRgwgHbu3Elubm4iCMXBJwDIeFAjCExN5SreCq/Nvw2KwdOl/Tr5NqhPUydPo9Ur19CQYYNFjacVy1dR2XJlqWixIgZJNwAYj4MHDxo6CQCgBwg+AaRRp06d6MSJE6Kp3ZgxY1DbCSCDQY0ggJTZO9jTwsXzadCAIXTon0MUGhIq+jVc9+daZB0AAACoBcEngO/g7+9PLi4uop+M+fPnU3x8PHl6eiIvwaiYSnM0AEjk7uFO6zetS9YnU+26tenClXN05/YdsrCwpNKeHqLDcQCAtJo+fbp4HDt2LDITwIhlNnQCADISDjItXryYPDw8aPz48WIaP0fgCUyhORr3E8R//BwAjJOjkyPVql1TaS3erFmzUiXvSlS2XBkEngBAq83u0PQOwPih5hOAmu7fv089e/akc+fOUc2aNalfv37IOzBqaI4GAAAZ2aa1W5RO79jdT+9pAQAwdaj5BKCGNWvWUNmyZenOnTu0YsUKOn78OBUrVgx5BwAAAAAAAJAK1HwCUEOJEiWoYcOGtHTpUsqXLx/yDAAAAAAAAEBNCD4BKBEREUFTpkyhyLAomr9oHlWrVk38AQAYY192AAAAAAC6hOATQBKnT58WfTs9evSIWrZoRRKJhDJlyoR8AgCjEB4WTpcvXJW93rllN3mUcSOf6pUpa7asBk0bAACYHu7OAgCMH/p8AvgmODhYdCJeo0YNCgsLo/3799Oc3+ch8AQARhV42rx+Gz159FQ2LS4ujm5euy2m8/sAAAD6ZGFhIf4AwLih5hPANxcuXKA//viDevfuTTNnziQ7Ozvyf/QK+QPJbNm4XePR4gDSg3OnL1BwULDS93j6udMXqV7D2npPFwAAmK7ly5eLRy6DA4DxQvAJTNrnz5/p0qVL1KhRI/L19aV79+5RqVKlDJ0syECio2Lo86fP4rlLdheysMxi6CQBJOvTKTQklAIDgujOzbsp5s7d2/eojm9NypwZFaMBNLFp7RbZ86ioaLI8g1ocAGp/fzZtEo8IPoGx2ThoV7JpnRe2JFOF4BOYJO7Hafv27TRgwADRufirV6/IwcEBgSfQuEbT29fvZDWh6v9Qh/Lky41cBP0Hl0LDKDgwWNReCgoMpqCghOf8FxIcqnan4rExseLC2draSufpBgAAAADTgeATmJw3b95Q3759ad++feTp6Ulr1qwRgScAgPSIA0dhoWHfAkohIsgUFBT07TGEQoJDtDZinXkWc7K0RI0NAAAAANAuBJ/ApPj7+1OZMmUoMjKSpk2bRiNGjKAsWdBMCgAMWxNToebSt9pL0ppLHHDSJLhkZmZGdva2ZGdvR/b2dmTnYCd7fvP6bbp3+77Kz7qXdkOTOwAAAADQOgSfwCRwsMnKyooKFiwomtq1b9+e3NzcDJ0sAEjHtFWbiINLiTWXgkWQ6fXLd3T5ymVZszgece57gksJQSVbhQBTNptsKkfpdHC0p9cv3yjtdJw/71PdO03bCgAAAMbVRxGAtiD4BEaNL+gWLlxIc+bMocuXL1PevHlFjScAgKTCw8Lp8oWrstc7t+wmjzJu5FO9MmXNljXl4FJY+LdmcIkBpsR+l0I0Ci5xZ9+ymktyQSURbHKwI5sUgkup4e3o0LUtHT10nB4/fCoLZnmUcReBp5S2EwAAQBd27NiBjAUwAQg+gdG6c+cO9ejRQ4xmV79+fa3VYgAA4ww8bV6/TaFGEAeMbl67Tc+fvqAWrZtSdExMsqASN48LCQ6m2FjNgkvW1tbk7OIogkn29vbfai7Zymou6XK0OQ4weXlXkAWfWvm1oHwF8upsfQAAACnJnRuDtQCYAgSfwOjExsbS9OnTxV+2bNlo3bp11KVLl++uKQAAxi06KpqOHzmptCka4+kbVm9We3l8rlFoFueQvObSyydvqJBrfkoPdBnoAgAAULfmU+vWrZFZAEYMwScwOnwhdeLECWrSpAktXboUd1MATBQ3h4sIj6CQkFAKlf2FUUhISMJjcCiFhoaK4JMmOLhka5dQS8nOQdo8zv5bgMmWbGxtENABAABQE3eRwRB8AjBuCD6BUQgLC6PffvuNhgwZQs7OznTgwAFR6wn0a8vG7WrN59e5jc7TAsaNm8RxJ94JgaUwCg0JoRDxGEqh34JKPF2TvpZS07xVU8qR0wXBJQAAAAAADSH4BBne8ePH6eeff6Znz55RoUKFqGfPngg8pQPRUTH0+dNn8dwluwtZWGYxdJJAS3Tdf1p0dPS3gFKorNaStJaSCCyFhIoOvr9HFossZGtrIwJI0ses2azp1PGzKQaqzLOYU5FihVCjCQAAAADgOyD4BBlWYGAgDR8+nFavXk0FCxakf//9l3x9fQ2dLJMmX6Pp7et3sppQ9X+oQ3nyoTNJUxsFTmkzuIhIWRM4EVCSCzBJazBFadgMTso6q7VcUCkb2dpyE7hsZGNnQ7Y2NuLR0tJS6We/fgkQnYur4l7aDYEnAAAAAIDvhOATZFidO3cWzesGDhwoOhe3sbExdJIATG4UuA5d24oAFNeGCg2Va/YmX2tJFlgK/a5mcNyPG48ApxBYsrMVHXeLwJKtjXjf3Pz7f9I4kMbbo6zTce7Tyae693cvGwAAAADA1CH4BBnKx48fxRDlXKNhxowZNHLkSKpataqhkwVgtM6dvpDyKHCrNlGmzJlFkIprNmkqS5Ys34JKCcElDiZxINmWH78Fmzi4pevRKnkdHEg7eug4PX74VEwzMzMjjzLuIvCkSQ0vAAAAUN/y5cuRXQAmQG/BJ77bvWTRUtq3Zz9FhIdT5SqVafT4UZQ9e3aVnzl96jT9uWEz3b93n+zs7Khu/TrUu+8vlDWr8ouAAX0H0plTZ2n671OpUZNGYpr/c39q0bSl0vknTZtIzX9sJp53aNuR7t29r/B+sx+b0uRpk9Kw1aAtfFG7efNmGjRoELVv354WL15MHh4eyGAALeImcYFfAykgIJACvgZQwJcAevjgcYqfCQ+PUPkeB4oTaiklBJREYEmuryV+tLC00HlgSV0cYPLyriALPrXya0H5CuQ1dLIAAACMGsr0AKZBb8GnWb/Npl07dtGCxfPJ2cWZJk2YQl07dqd9/+wRd5eTunH9Jq1ctoo6de1EpUqVpFevXtPoEWPo0cNHtHzVsmTzb1y/kT59/EwBAQEK/YXkL5Cfjp06ojDvpg2badGCxeRTtYpsWnBwMHXq0pG69ugim6aqbxDQr5cvX1Lv3r3p4MGDVL58eerRowd2AcB3ioqM+hZcCpQFmj68/UDhf0dQZETkdy3Ts5wHOTg6KASWOOiUlmZw6QE39zPW0Sh5QACpIwePKwwIgNEoAQBA34MHsTp16iDjAYyYXq4MeISidWvX0+Spk6hajWpi2px5s6h6lZr037ETVM+3brLPlCnrSX9u2agQRPp1xDAa2G8QhYSEiGZXUlwzauniZbRr706q5l1dYTkc2HJyclKY9s/fB8U6k9a6srK2SjYvGNb27dtFsCk2NpZmzpxJQ4cOzfAXtAC6xqPFBQYEfQswBYhHacApIoWaSvLMzc3I3sFedMSdUnM6HgWuboPaRheoMXYcbMIgAAAAkB5MmDBBPCL4BGDc9HIVf/P6TYqOiqZq1asqBJMKFSpIly9dVhp8UtYMIzIyUlzgZDFPvEMbHh5O/fsMpElTJlCuXDlTTcutm7fowf0HNGrsyGTvbVi3UfzxcurWq0u9+vQiKyvUfjKk/Pnzk5eXF61YsYJcXV0NmhaA9CQmJkYEmBKbySXWZAoLDVNrGRyct3ewI0sLS8qTPzc5OjmSo5MDOTg5iBpMfB7mPpAwCpxxQI0mAAAAADDq4NOHDx/Fo0t2F4Xp/Prjt/dSw83iuM+oHxr/IGooSU0cN4kqeJUX07l2TGq2bdlOefPmoRo1FWtIubm70cAh9ahkqZKiJtXkCVPo1q3btHrdSpXL4hoEERGJtQgCAwLV2hZQjffh3LlzRaBx4sSJVKVKFVEVN730CQOQEh7xTdvfhyCuwZQkuMTPeeQ4dXDAngNM3CxOBJa+PfIfjxjH7/s/ekWFXPMr/TxGgQMAAAAAgAwRfJI22UjaLMPM3JziJalfrEVFRVHfXv1Ec6tpM6bIpu/bu58uXbxM/xw+oFY6uD8T/kzPXj2SpWXmnN9lz/Pnz0dZra2po19nEYgq5VZK6fIOHThMe3bsTzb91bN3FPxFvZoHmoqPixcXisbo3v27NHLscLpz9w7Vq1Ofnj14YfCmPNrM7xP/nVRrvlq1a5Ix+PLli+z5u1cfKDo89eBwRjvGOUh6/doN2esd//tL1Ojkc4aVVWKQPLWAVVhYmAgmcRPlhL8w8cg1O9WVLVs2srHhP5vEPx4pLmvW5N+jWKKAj8HiT508r169Gl2/foPevnkrXvPyChUuJPrj+/iG93PivjbV41ZTGek4Nwa6zm9VwVsAAAAA0GPwyck5oR+lr1++Uu48uWXT+bWbisCOfOCpd88+4qJn684t4q691Mn/TtGH9x+omncNhc+MGz1e1HDauvN/yfp64uHA27RtnWqaPct6isenT56pDD41bOJLNetWV6j5NHn0DMpfJLdsm7UtpRoKGRVfwE+dOlX06WRvb08bN26kjh07povaTtrMb8sLFgqd/X7+9FlWA1C+s19j2b8WrxNPL7nz51S7f5mMcozzuWTz+m0UHJQQwJEGkp49e06fv3yhDl3bitHTpNODAoPFOUL0v8S1mL4958+n1KeSPDt7W4WaSwnPHUXNJmUDN6hLnTy3c7KRdVjduv1PRjsK3Pcet5rKKMe5sUB+AwAAAJhA8MmzTGlxp/zy5SvUrHlTMe3z58/09MlT6j+oX4qd5vb5uS/5P/cXgaccOXMovD9l+iQaO2G07HVcXBxVLOtNo8eNoqbf1iNv65ZtVLNWDYUAmCq8TpZSEMk6q7X4g7Q5f/48zZgxg9q1a0cLFy6kHDkU97Mx9rfy9vU72YV8/R/qoOPfDOjc6QsKgSd5PH3Hlt2i3yQOMnHgSd0meVxbSQSXHBP6XpI+t3e0Tzed7Ru6RiIAAAAYj+nTpxs6CQCgB3q5knF2dqZmPzalRfMXk5dXBXG3fvrkGaJj7wYNfGXztWvVnkqUdKXJ0yaJznT7/tJfFnjKqaQzcW5mwn9S0j6feJq9vZ3CvLycSxcu0SolfTjdvnWbThw/SX4d25GLi4uo7TR21Dgq7lqcKnlX1HJuAOMRCy9cuED169en2rVr07Vr16hcuXLIHEjXuIZSSEgoff38lW7fvJvivJ8/fhZ/ymSzyZYsuMTPHRztKUuWxFpwAAAAAMauZk3j6HICAFKmt9vo036bSqNHjKGaVWuL16XcStK6P9cqdB4eFBQk+jph586ep6OHj4r+ShrWa6SwLG5OV6JkCY3Wv23rdlFzqnadWsneK+7qKprwNWnQjAIDA8nC0oLq+9ankaOHp5uaBsbk33//pV69etHHjx/pxYsXoqYTAk+QngJMYWHhCZ17fw0QHXwHyprKBak1sIFUrjw5ydnF6Vtw6dtIco72ZGGR2AQTAAAA9GvT2i1Kp3fs7oddYQC3bt0Sj56eCd2egHZtHLQLWQrpgt4iK9z57eI/FokaTXzxZm2dvLka13AyN0/ot8SnahW6dvuK0mVxv0DKcKCIPyNfG0qqb/8+4k9ZMMnKylI0/+M/7pRcPiAG2vP161caMmSI6NOpSJEi9PfffxttEztI/wEmHq1SPrAkex4QSDHRMWleh3kWc9HUEk3UAAAAAFTr27eveDxz5gyyCcCI6b1aDzcpUdWsRL6pHM/j5KR5p92qPmNra6vW5xF40o23b9+K2k3c19ewYcNoypQpolYbgC5xMFlVgCkqMkqtZXBNSMU+mBzF85vXb9PdW/dUfs69tBsCTwAAJlBbBgAAAFKHNmWgU1zTjQOJuXPnpq5du1LLli2pUqVKyHXQmuioaBFMEs3ivgWWpM8jIiLUWgYfoyKw9G0kOfnnPKiAspEXeYS5Vy9eK+103M7ejnyqe2tl+wAAAAAAADI6BJ9AZ82a1q9fT5MmTRJVaPPnz08zZ85EbpsodUd6SymIyf0tiT6YRN9LiQEm7p9JHWZmZmKwA1GLKUmAiTsAVxZgSknWbFmpQ9e2dPTQcXr88KlsHR5l3EXgid8HAMgITvx3kvb+tZdevnwlRgT2a9+WqlavqjAPB/OXLVlOZ8+cI0tLC2rSrAn5dWin8bkTAAAATBOCT6B1z58/Fx2KHz16VNRyioyMRC6bmPCwcLp84ars9c4tu8mjjBv5VK+sMijDfcEFBQaLJpqfvn5UqMUUGhKq1nq5fyV7B3tZgCmhg++ER1s7W61fJPG2eHlXkAWfWvm1oHwF8mp1HaB7WzZulz2Pjkrs7+vIweNkYZnYTJz78AIwNuvWrBfBpx9bNKf8BfLRpYuXqXOHrjRv4Rxq3qK5bL4+vfrSm9dvadSYERQUFEwTx02kT58+0aAhAw2afgAAAMgYEHwCrdZuWbx4MY0ZM0bUfJo3bx4NHDhQ1AYB0wo8bV6/TaE5WlxcHN28dpueP/Wnxj82pMiIqIQ+mORqMYUEh4jjJjUcQOImbwlBJUeFIJOdva1B+1lC5+IZHweb8uTLbehkAOiNX/t21K1HV9lrr4pe9OzpM1q/dqMs+HTl8hU6cfwk/f3vAXL3cBPTQkJC6Ldpv1PPXj2UDvQCAKCuoUOHIrMATACCT6A1HBTYv38/Va5cmVatWiVGtAPTc+bkeaX9ILHgoBDasmGHWsvhQFJiM7mEIBO/5sATApqgTajRBKZM2UArFhYWFBcXK3vNTe1y5MwhCzyxOvXq0MRxk+ja1WtUvUZ1vaUXAIzPTz/9ZOgkAIAeIPgEaRIdHS1qOPXo0YOyZ89Ou3btIjs7O/QBYcS4dhKPIhcYGERBAUHikftjCgrkPpkCKSw0TO1l2djayI0il/AXHhxJbmVLkLk5Tk8AAPr2wv8F7d29j/oNTBj6nL17+45y5MihMF/OnDlk76kSER6hMPAD13QFAEjq9evX4jFfvnzIHAAjhqs7+G6XL18WQafbt2+TpaUlDRkyhOzt7ZGjRtKEkpvBSYNK8o8cbOIR5tKibceWlDNXTspikdifjpT/o1cIPAEAGAAP6tCzWy/yLONJvXr/LJseExMrakMlHSWUmxrze6ocOnCY9uzYn2z6q2fvKPiL+jcq0osodX/7JBrMm5EZ4XZyGUSZ+Lh4le8ZE0NtZ2u/hJpPO7b8pZf1mcr+lG5rdKRxfU+V4Y47Msp2+qfx2Mtox28h1/yy5wg+gcbCw8Np4sSJosaTi4sLbd++nVq1aqWVzn5TgqYx2q+1piy4xI/cPE7dEeoSOvm2Ex1929nb0Z2bd1P8rHkWc8qTLw/6RwIASEe4VlJHv87k4GBPq9evVLgJwDVUrwcEKMzPvxV8ruf3VGnYxJdq1q2usI7Jo2dQ/iK5ycnZiTIayzOKAThVOCDDIwIaO2PcTvmLJHl8oafqPWNiqO20tLYUj/pat6nsT+m2WlgZ1/dUGQ48ZZTtLJTGYy8jH78IPoHGuLbT1q1bqVOnTjR//nxydnbWWi7ySFOfP30Wz12yuyiMNAWaN4/jJnDyzePkH8PDE5tCpMbSylJckHCAycHRnuwd7cVrfs5N5+Q72uYB5bhzcVXcS7sh8AQAkI5wIIkDT9bWVrR+07pkHYiX9vQQo+JxzSjug49xX08J75VWuVzrrNbiDyCj2LR2i9Lp1apV03taAACMDYJPoJbg4GDRj5OtrS2NGzeOOnfuTD/88INWck++RtPb1+9kNaHq/1DHJEadUreGkTKxsbGilhLfTQ4KDBaPCcGlYHExwe+ry9aOO/iWCzB9e+Qgk7IOaVXxqV6Znj99obTTca4Z5VPdW+1lAQCA7n/fO/p1IisrS9qweb3Skevq+dYTQaeF8xfRxCkTKCoyipYuXkZVq/lQ/gIZ8+4rAAAA6BeCT5CqAwcOUO/evalJkya0fPlycnd3F3/wfcLDwunyhauy1zu37CaPMm4iaJM1W9bknXtHRlEQB5WkTeO+BZcCAwMpJDhU7fVyEwplwaWE5nK2WutnibehQ9e2dPTQcXr88KmYxqPTeZRxF4GnpNsIAACGs2r5arp96w4VLlyIWv2YeDPIxiYb7didcDOIA1IrVi+ngf0G0f69BygyMpJcS7jSvIVzDZhyAAAAyEgQfAKVPn36RIMGDaItW7aQq6srdejQAbmlhcDT5vXbFGoFxcXFiWZqHKip6F2BwiPCvzWPCxZBJ0068+TATmJQyY4ceCQ5bi7naE/ZsmXV2yiEnA4v7wqy4FMrvxaUr0BevawbtEe+PzZuEit15OBxhSax6I8NIOPq1KUjNWzUMNl0M7PE5tSsgld5On3+pBgNz8LSgvLmxTkdALSDW1SAdmwctCvD9oVkqvtIqvPClmTsEHwCpf7++2/q0qWLqF0zatQo0cG4lZX6Ta9A2ehxoXT88AmlzdGkgamTx0+nmHXctxLXUuKgkjS4lBBsSujwO+loROmFfJ9QkDFxsMkUmsECmJocOXOIP3XP5YWLFNZ5mgDAtPTq1cvQSQAAPUDwCZTiUewKFixIhw8fpvLlyyOX1MBN5CLCIyjga6DolFXxMVDUcFKHhUUWcnBy/FZjyY4cHBIDTbZ2ip17A+gSajQBAACArkVEJAyCY22NAQrAdG1UUiPK2GpDIfgEspo5q1evpg8fPtD48ePJ29ubrly5ordmWhlJTHQMBQQEUsAXxQDT168BohPWtOrRtxtlxehAAAAAAGAC6tevLx7PnDlj6KQAgA4h+AT05MkT+vnnn+nEiRNUs2ZNGj16tOh82pQDTxyM48693717R18CP1HAl4Qg09evgRQaol4n39wEztHZQYwQ5OiU0DzuyMFjFBerugaUeRZzMeIQAAAAAAAAgLFA8MmExcbG0oIFC0RNJx6NbPHixdS3b1+TadbFzeTCwsK/1WBKCCyJWkxfAkXgiQNQqeG84uZw8kEmp2+P3Ol20gDeuzfvROfiqriXdjOZ/AcAAAAAAADTgOCTCbt06RINHz6cGjRoQCtWrBB9PKUn6gR/1MFN4UQzOQ4wyZrKJbzmJnTq4L6WEoJLjuTkxMGmhACTnb2dRsEin+qV6fnTF0o7Hedl+VT31mjbAAAAAEC3jh07TpZnkg/q0rG7H7IeAEBNCD6ZmKioKLp48SLVqFGDfHx86OzZs1SlSpV00cSOR3u7fOGq7PXOLbvJo4ybCNhwLaLUanEFBQYn9r/0rTYTP+flqoObuyUElb4FmJwcKSIkitzKlaAsWRKHlU8L3o4OXdvS0UPH6fHDp2Ia1zrzKOMuAk+pbScAAAAAAABARoPgkwk5f/489ejRg54+fSr+8uXLJwJQ6QEHiDav36ZQI4hHh+MmalxTiAM21lmtKSQ4RFZr6eu3fpj4NX+Om9GlxtzcLKGZHNdicpY2kUuoxcTLT8r/0SutBZ6kOMDk5V1BFnxq5deC8hXIq9V1gG5t2bhd9jw6KrH23JGDx8nCMvF4wWhxAAAAAClr0qQJsgjABCD4ZAJCQ0Np3LhxtGjRIsqZMydt3bpVBJ7Sk3OnLyhtisZ4+roVG0XtptgUOuuW4lpc3ISNA0rSwJI00GRrZ5suannJQx9PGRsHm/Lky23oZAAAAABkSKNGjTJ0EgBADxB8MnJfvnwhLy8v8vf3F7WeZs+eTY6OjoZOlqjVFBgQJGouffn0lW5dv5Pi/JGRUUprECkEmL41l7N3tBej9QHoCmo0AQAAAAAAqA9X6EaKgzvcl5CzszO1aNGCGjVqRPXq1dNrGrgZXER4hOh/6asYRS7xkQNP6jSTk+flXZ5y5MwuAk0OTo6ijyYAAAAAAMi4fH19xePhw4cNnRQA0CEEn4zQ7t27aeTIkXTkyBExgt28efN0uj7R2XdAkAgsiY6+5YJMymosfQ/zLOZUvXZVNFEDAAAAADAi4eHqDQ4EABkbgk9G5P379zRgwADauXMnubm5UVBQkNaWzbWUuFNw6ShyojbTt+c8ypw6tZgsrSwTOvh2diQn/vv23MHRnk4cPSU6F1fFvbQbAk8AAAAAAAAAGRCCT0aAAz9//vknDR48mEJCQmj8+PE0duxYsrS0/K5aTIFfA5U2lYuKik7189yZNweTEkaTSwgwiUCTs6MYTU5VZ98+1SuLUe2UdTrOnYf7VPfWeFsAAAAAAAAAwPAQfMpA4uPjKTo6WjwmHSFt8+bNVLRoUVqzZg15enqmGqwKCw1TWYtJHVbWVgkdfH8LLEmfc+CJ+5rSFHce3qFrWzp66Dg9fvhUTOPleJRxF4Enfh/Svy0bt8ueR0fFyJ4fOXhcjAonhQ67AQAAAAAATAeCTxkAN3c7d/oC3b19n2JjYsn8oDm5eZSiR0/vU6vWrShnzpy0ZcsWsrOzUxjlLSYmVgSU5GsvJTwGiiBWajjAZe9gnxBcErWYHMjJ2Uk8z5rVWuvbyQEmL+8KsuBTK78WlK9AXq2vB/SDg0158uVGdgMAQLq0ae0WpdM7dvfTe1oATFmVKlUMnQSAdGnjoF3JptXoV4kyKgSfMkDgafP6bQrN0TgAdfPaLfoa8JVWrFhJQ7i5XVAovXz+SqEWU3BQiFrrsLa2JkfnhMCSfC0mewe776rFpC1Ja3dB+ocaTQAAAACgidmzZyPDAEwAgk/pHNd4UtYPEved5OzkLAI0K5esTXU5PJ+Do8O3WkzfAk3f+mWytrbSUeoBAAAAAAAAwNQh+JSOLZq9VDSdSwn3/ySPm8NJm8Yl1GJKCDhx8znUJAIAAAAAgPTEzy+hqSt3IwIAxgvBJyNQp0FtypUrhwg4WVlpPsIdAAAAAKTcFxRAUug3TDtevXqFgwvABOg1+HTzxk36e/8/FB4eTpWrVKbGTRuJ5mOqhIWF0YF9B+j+vQeiM+069epQ2XJlVM6/Y9tOunD+IrXv6EcVvMrLpi+Yt5BevXytMG/FSl7Urn3bNKVP1/oP60OL5y4TfTypYp7FnMqU80CtpgwAI8EBAAAAAACAKdJbj87/HPiHWjZvTTExMZQ7dy6aNH4SjRk5TuX8z589J986Den6tRtUqHAhERBq26odrV6xWun8PN/C+Yto145d9PLFS4X3jh05RhEioOQt+ytarEia0qcP3EzOvXSpFOdxL+2GwFMGHgmO//g5AAAAAAAAgLHSS82nuLg4mjxxKv3cuyeNHD1CTCtbrix1aNeJOnbuQO4ebsk+4+joSH8f2i86yZbKmTMnzZo5h7p070JZsiResAcHB9PgAUPo91kzqKNfZ6Vp8PD0oNZtW2ktffriU70yPX/6Qmmn43b2duRT3dsg6QLNYSQ4AAAAAAAAMEV6CT7dvXOXPrz/QE2aNpFN86nmQy7ZXej40eNKgzvyQSepgoULUnRUNIWGhJKjk6Ns+ujhY+iHxg2psk9llWk4c+qMaHqXK3dOqlO3NpX2LJ2m9OlL1mxZqUPXtnTu9EW6e/ueaILHTe24xhMHnvj9jA7N0QAAAAAATJOrq6uhkwAAxhJ88vd/IR7z5c8nm8Z9KeXNm4devEh4Tx3/2/Q/cnN3Uwg8bf7zf/TixUtasGS+ys9ZWVlRwUIFqWSpEnT/3n3RvG7EqF+p5y8905S+iPAIioiIkL0ODAgkXeAAU72GtamOb016cu85FXMrbLRN7aTN0QAAAAAAwPi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      "text/plain": [
       "<Figure size 1210x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 4))\n",
    "cols = {\"In\": style.OPEN_NEMO, \"Ga\": style.CONTEXT}\n",
    "for c in (\"In\", \"Ga\"):\n",
    "    a1.errorbar(xs, stats[c][:, 0], yerr=stats[c][:, 1], color=cols[c], marker=\"o\", capsize=3,\n",
    "                label=f\"{c}–As bonds (mean ± σ)\")\n",
    "    a2.hist(hist[c], bins=30, color=cols[c], alpha=0.8, label=f\"{c}–As\")\n",
    "a1.plot(xs, np.sqrt(3) * a_veg / 4, \"k--\", lw=1, label=\"Vegard: √3 a(x)/4\")\n",
    "a1.set(xlabel=\"In fraction x\", ylabel=\"bond length (nm)\",\n",
    "       title=\"relaxed random InₓGa₁₋ₓAs (1728 atoms)\")\n",
    "a1.legend(frameon=False, fontsize=8)\n",
    "a2.axvline(np.sqrt(3) * a_veg[4] / 4, color=\"k\", ls=\"--\", lw=1, label=\"Vegard bond\")\n",
    "a2.set(xlabel=\"bond length (nm)\", ylabel=\"number of bonds\", title=\"x = 0.5: a bimodal distribution\")\n",
    "a2.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout()"
   ]
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    "The lattice constant of the relaxed supercell follows Vegard's law closely (at most 0.0012 nm\n",
    "below it), yet no bond has the Vegard length: at $x = 0.5$ the In–As bonds average 0.2598 nm and the\n",
    "Ga–As bonds 0.2473 nm, against 0.2538 nm for the virtual crystal, and the two distributions do not\n",
    "overlap. From $x = 0.125$ to $0.875$ the In–As bond grows by 0.0040 nm and the Ga–As bond by\n",
    "0.0027 nm, while the Vegard bond grows by 0.0127 nm: each bond follows the average by only a fifth\n",
    "to a third, in\n",
    "agreement with the EXAFS measurements of Mikkelsen and Boyce (1982) shown on slide 6. This local\n",
    "structure changes the electronic states (lecture 21.3) and is one reason NEMO 3-D represents alloys\n",
    "atom by atom; the benchmark notebook on the 2002 NEMO 3-D paper compares these bond lengths with the\n",
    "paper's Fig. 9.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- NEMO 3-D is atomistic because nanostructures have countable atoms, uses local orbitals because\n",
    "  the structures are finite, and is empirical because semiconductor bonds are stable.\n",
    "- A $(101.7\\ \\mathrm{nm})^3$ GaAs cube holds 46.3 million atoms and gives an sp3d5s\\* + spin\n",
    "  Hamiltonian of $9.25\\times10^8$ rows.\n",
    "- The chain geometry → Keating relaxation → strain → strained tight-binding Hamiltonian → Lanczos\n",
    "  runs here end to end on a 25,920-atom InAs pyramid in GaAs in about 8 s; it binds one electron\n",
    "  level 140 meV below the GaAs band edge. The eigenvalue step takes about two thirds of the\n",
    "  time, and every step scales linearly with the number of atoms.\n",
    "- Relaxed random InGaAs follows Vegard's law for the lattice constant but has bimodal bond lengths\n",
    "  (0.2598 and 0.2473 nm at $x = 0.5$ against 0.2538 nm).\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Make the pyramid larger (`BASE = 11`, `HEIGHT = 4.5`, with `NXY = 20`) and rerun section 2.\n",
    "   How do the electron level and its weight on the In atoms change? How does each step's time\n",
    "   scale with the number of atoms?\n",
    "2. Double the bond-bending constant β of both materials in `KEATING` and rerun section 2. How do\n",
    "   the hydrostatic strain in the dot and the electron level change?\n",
    "3. In section 3, plot the standard deviation of the In–As bond lengths against $x$. Where is the\n",
    "   disorder largest, and why?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [NEMO 3-D in 2002](../../book/15_benchmarks/15_03_nemo3d/15_03_01_klimeck2002_nemo3d.ipynb): the\n",
    "  paper's bulk parameters, the bimodal bonds (Fig. 9) and the alloy gap.\n",
    "- [Strained InAs/GaAs dot](../../book/07_quantum_dots/07_01_dot_levels_and_strain/07_01_04_strained_inas_gaas_dot.ipynb)\n",
    "  and [dot strain profiles](../../book/15_benchmarks/15_03_nemo3d/15_03_03_dot_strain_profiles.ipynb).\n",
    "- [Alloys: virtual crystal against random supercells](../../book/01_bulk_band_structure/01_02_parameters_and_materials/01_02_03_alloys_vca_vs_random_supercell.ipynb).\n",
    "- [Usman et al. 2009 dot](../../book/15_benchmarks/15_03_nemo3d/15_03_02_usman2009_dot.ipynb): a full\n",
    "  NEMO 3-D benchmark.\n",
    "- Next lectures: [strain](21_2_strain_balls_and_springs.ipynb),\n",
    "  [sp3d5s\\* tight binding](21_3_sp3d5s_tight_binding.ipynb),\n",
    "  [Lanczos](21_4_lanczos_eigenvalues.ipynb), [parallel computing](21_5_parallel_computing.ipynb),\n",
    "  [validation](21_6_validation.ipynb).\n",
    "- G. Klimeck, F. Oyafuso, T. B. Boykin, R. C. Bowen, P. von Allmen, *Computer Modeling in\n",
    "  Engineering and Sciences* **3**, 601 (2002); G. Klimeck et al., *IEEE Trans. Electron Devices*\n",
    "  **54**, 2079 and 2090 (2007).\n",
    "- J. C. Mikkelsen and J. B. Boyce, *Phys. Rev. Lett.* **49**, 1412 (1982)."
   ]
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