{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial: Sub-Riemannian geometry on the Heisenberg group" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lead author: Morten Pedersen." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO: Using autograd backend\n" ] } ], "source": [ "import geomstats.backend as gs\n", "import geomstats\n", "\n", "from geomstats.geometry.sub_riemannian_metric import SubRiemannianMetric\n", "from geomstats.geometry.heisenberg import HeisenbergVectors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We import modules for plotting," ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Heisenberg group" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We instantiate the 3D heisenberg group, " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "heis = HeisenbergVectors(equip=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "'heis' is an object representing a manifold, without any sub-Riemannian structure associated to it. \n", "\n", "In geomstats, a sub-Riemannian structure is constructed via the SubRiemannianMetric-class. \n", "We now instantiate a SubRiemannianMetric corresponding to the heisenberg group. \n", "\n", "In geomstats, a sub-Riemannian metric can be instantiated by supplying either \n", "\n", "- a function which at an input point outputs the matrix representing the cometric, or\n", "- a function which at an input point outputs a matrix whose columns are frame-vectors spanning the distribution at that point. This frame is then implicitly assumed to be orthonormal, so it determines both the distribution and the metric on the tangent bundle." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining the Heisenberg sub-Riemannian structure via a frame-field" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will construct the sub-Riemannian Heisenberg group by supplying a frame-function. Mathematically, we represent the distribution $\\Delta$ in a standard way; at the point $p \\in heis$ the distribution is $$\\Delta_p = \\text{span}(F_X(p), F_Y(p)),$$ where $F_X = L^{\\star}_p(X)$, $F_Y = L^{\\star}_p(Y)$ and $X = (1,0,0)$, $Y=(0,1,0)$. So e.g. $F_X$ is the tangent left translation to point $p$ of the standard basis vector X in the Lie-algebra. In geomstats, this can be done concisely as follows," ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def heis_frame(point):\n", " translations = heis.jacobian_translation(point)\n", " return translations[..., 0:2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given the frame, we now instantiate the sub-Riemannian metric for the Heisenberg group" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "heis_sr = SubRiemannianMetric(heis, frame=heis_frame)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can illustrate the distribution by plotting the frame-vectors along a line:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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PT1RnzRrKRo14aqgI2am1lSKdfBHPco+BTCKy/sViMeJxeYafTkTOC59DMeMozfdA24/JhfQIvPALUrXmapKNpCipIn/jvtTBd/3bUyRiEU9gK4x8V0YUgR1Qv0tebxNPMs1mRFPKtFyqNivN1v5vZF0pMiz/37A7Fe1YPTSFYJ31t55MpQIDO2RvEpQW8cRmZORlxpOuBy5JwEKvjHjMeHK+kKu8NbJhfRbOxuqsV0NFqKXaaigbpmna6atSUmu3IxqynjdbiGD1EsViMaIjz2KOPoVhCCKb/hPxRAIjEUec+SgsXpIH0qa7ZdFc0aR82FEn5b6xaXnQ3/6fU09oKdrqtspoCVLEZERTEUu2sEDzLR3kFrwOi5fl87b9eCrN5tsgazqJNGHBcu+vVd9p+7FU31D99vIinqnnkT1AbTLF5t+UcqdWyjivjc8vJbJKEZ+VNSgo7AZRwy1DjXhqKBmW7U0sFis7tVbO/astm84gIoeKb/B/gQKJ9rcRcXQSXFwk3vNpzOHvIISJGdiJiI4j4vOSOIyIrM/MJ2fZBLbLA7iFxeRZtuJMkoYTOt4sr5s7K6MC99rUOANb0bZmKXnYabbj4GpIS7MlhQXF9vCEbkhCVDSpjIskx10HtktVGpSW3rLqO95O+de/CalGo7yIZ/pFSVyKkuaiUOGJyvTLyREVSunO3TWsCGrEU0NJsBRkiYSUzN6uek614Rj9FmpoABz16Jvfj9PpxDv2tzjHv4WSmMN0t5NwriURj2LEwxjCRDgCCKEjomOyqL7xZ1MLpivaFi7Iv20/JkkD0vp30us7lqItK80mRKaaDcpXtFlptuYjKSGDe608IBtJNVqxEY+py7QYpHp3LFsgKI94pl6QJOHwywiqGn5vUy/IvaJKE9cabjtqNZ4aioJVy1lcXMTn81VNJl0sViLisZFYwHn9T+XFTb8Azga08X/Gdf1Pkj5m9eAMoMVGELEJYvhxqQGEw4FihFETQUxnA0brG1ENQ5Jx+KZMFynO1MHZ6t2BTGGBhXwD4Bb7pdGo6oK210sisiOeffKvFfEsd0Y/kRQ4tP2YjMIgNbah1IhntlumG11NKZ84/6bU7aUSjxCp+o6jLuk5V6FvnxCpUQ2KVp3UXQ0Voxbx1LAsrNTa/Pw8L7zwwi0nnZWGc/DPUfRFTP9m9I63o869ivvy/wDA9K5HOJsxXS0oRhhF6JiqDxHYhmLGQZ8HBIZ3I4vaRhYXF1lcXCQ61YcpBKbmQeiLMiXXco98QiOeTM+REhZA/ohn7En5d829MhKITUJ8GlChfoe8zZZSF4h4olMyxQfSvNSu7yTXsGo8xYoLrDRb64mUA7e/K3V7qcQTvJokX1Mq7twt1kKlrZOO8JAUYSgkI7lbZLdUQ0HUiKeGgrCkyIlEAkVRbJPPW42ViniU0DWco38PQHzLh1DC13H3fRyEgd5yElWXc3bU+DRKdAxDa2TK+3rU8CBKYhZFCIQjgLn2x3A4XSiKgmEYGPP9mIaJGZ3DNAzia99MPCHl5mLurDyrdzVnpqZyzeERIjUCof1N8q8V7QS2pUhCLyLVNpk882/YJ5/DclXIjniKTbVZxNOwX84mUrRUPxKUniabTFoQuVpk6tJVhQmm0y8mFXIeGcndKp+/GgqiRjw15IQV5cTjcYxk+shqzryde6o2FH0R4W7DaL0f4duI59yvoRhhjIa7Mev3gZlAaG6U2BQKCnHXehY8hyTp6EEUM4ZwNmG03J/ZIxS9gSISKIkZBAqhxh8nFAqxsLBAbPR5TNPEaDyImZR3A7ntcubPSwGA5pVu2NZ1kKrvQHERj9VH1PYGWYOyIp7ANvnXKCHVFr4poxxFS0Um6SQq393l10nH9AvJ50/WiyziqeREZ+pFWTPSvMk02yoaufEjjFqNp4YlyNebs6J1lmWwUlGW2XA3kSN/BbEJPOc+ihKbwvRtJLb7k3h6/hMIgaIvoiRmMN1tTLe9H//sRZT4LEJ1JZVSDRiNhzPWVcMDKIkFhObBbDyEI9Bl9xAps2cwTZOoZzf6woIt73ZFxlEEKOnEY0U7a1+XKoxnK9ogTU6dh3gSwZTLQtuPSTIzIvJg7Nsory9FXDCRjHaaDqRGP9RtTpNSa6URhh6RI7hBDraDtFRbmTANmHklKc1OytNrEc+qQI14asiAlVrLJZO2Lhdr8JkLQggGBwe5cuUKfr+fpqYmmpqaaGhoWHbmzsqRnoK7/7OooQGEq4nYvt9HDV1GjQyDiKNExwAVo+0nCAeO0jr2tyiJeYTmRjibMZruyayLmDpqaBBFn0c4G9Db5RwfRVFQRAJHsA8UFdF0EEVR0HWdRDyGIzIBwiSa8OKIRtFUBcfYkzJusNRswsy0yrGwnKpt8jkp3/Zvkk4KY9+X19dtkSOvAcwk8RQT8VhptjX3pRyys4mnFMy8KgnH0yathiwvPLlYaWtZWDgvRQ9CpNwUahHPqkCNeGoAUrY3lqN0Lpl0pcQTj8c5d+4cCwsL7N69m0QiwezsLCMjI+i6TkNDg01EgUAgg4hWrK4kBK7Lv4c2dxqheYnu+wzC047r6heS0U4IxYxiujuIb/8VlNEZArFewJCKNYcfveW+jCWVyJCsuQgD4WrCaL3fvk1dvCjTd85G8G9GtRpvY3MomAhFJaHWEw+H0RZ68YfGUJx1JOoOoCUSaNFhVD0oD6R1W1NPutz00fSmUUi5FAR2pO5jN5AuIy6whr4BrLkfJj4tL/u3lE88lvIvsB2i4zLNVqpn3JI1k3OPVIesGSmaJO4abjtqxFND0bY31nVWNFQK5ubm6O7uJhAIcOLECfv6devWIYQgHA4zOzvL7OwsN27cQAhBY2OjTUQivRZSRTiv/wmOie+BohDb/V8RddtRouNoM3IejEBBUVzEt/0XhHsN3vC/4jTm5MFM84KiYjSfyFhTDQ/IaEd1Y6z9NxkSXnW+BwCj4e6MVJQSnwIUcLfgcMr7O2f+FRSIN91LJKqjxII4J1/Ga5iIwHaEIdBIfhaFUm1GXEY8AGvfIP9m13eEKF5OPf2SjE68nbKuYzs0VBDxWMTjSYoT/BtLe3y+fZp6ksCS5qW1VNuqQI14fsSRPpJ6uWZQi2xKIQAhBNevX+fKlSts376djRvlAcXySQNJaH6/H7/fz/r16xFCEAwGbSIaGBjANE1ZkDcMmpqa7F6iSuAY+SbOob8GILb91zCbj8nrx/5BHqAUBVxN6M3H0De8G4CG2W+joCO0BoSzHqN+n+xjSYO6cEGKFhz1JNrfknGbNi/rGGbjgYzrlaSiTbiSli7CwDH1rygomG0P4HQ6EUKgBS9J923PVmbGx4lEInR0dOCNzaMIgeIILE1MzbwsVWfuNdLXDWAhu4cnkfYCliGe9DRbYi41ddW/MeUfVwrxhIels7eipepYvg1UJH3Ww9L924xLCbq7NbnPGvGsBtSI50cUlmrNmg5ajANBeqqtGMTjcXp7ewmFQhw9epSGhgb78YWECoqiEAgECAQCbNiwAdM0efXVV3G73UxOTnLlyhUcDocdDTU1NeH1ltaRrk0/h+vqHwCQ2Pg+jPaflDeYCRyj306mrgQ464nt+DWZqhEC/6KU/ApPG6BiNN+bY3EvpqcT4d+KqEuz0DF11GT/jtFwd+ZrjieJJ9nDo86dQUnMIZwNmEnhgqIoOEKX5OfQsIdQKMTY2Bitra244/MohkkoYqI5ghnu20q6mk1R5UHZIgibeKJp+y9APEKkoqc196XcGXyd8nFmGRGPFe003iXrO5By9C4Xs2dkTctRhz1aPLFQS7WtEtSI50cQlu2NacofYbFps1KIZ2Zmhp6eHhobGzl58iROp7Ps/aqqitPppLW1lXXr1mEYBgsLC8zOzjI6OsqlS5dwu90ZROR2Fz5r1yZ/AEKgt/8kiQ3vTV0/9UOU+LSUQXu6SHT+rE0e6twZhOIhoTTgTMYVRlZ9ByHQpn8IjjoSXQ9nvo7gRSm/dgQQvs0ZtylJE0szGfE4Jp+S67e+LtUPY+qoQRmpmIHdMJckI01BNaOyBu+ozxyKp4B/9AeopsBsuQ9NCBSrf8e9JlXAt+o7qIXNPRcvy34jzSubX60ZQ/4tyTskD+ylGIRaxNN6AsaTogf/xpR6rxxxgVXf8bRBdFSm8BYuUot4VgdqxPMjhPRpneWYexZDPEIIrl27xrVr19i5cyddXV1Vm0BqPa+maTbBALarwuzsLENDQ5w/fz5DMdfY2LiE+OI7fxOz4S70tp/MqLU4Rp9AiU+D5kN420lsfJ99m3P46xiajwXnHlqVUUzfRoSvK2NdNXhJer6pTvQ1b8y8LVnfMRsPyMgj/fUlfdOEuxXMBNqUbPZMX0MJDyT7inwI73rE7Kh8by1hAQqqqx41SVRCCJjrgdgMhuYn6NiBurCAe+osLlOAf6tMzylKZn2n0Oc1kRz/0HJUjiywFW2b5N9SazxmInOY3rW/kJf9G9KIpwxYPUGOZE+Q1dhai3hWBWrE8yOCaszNsXp5rEgpG7FYjN7eXiKRCMeOHaO+/tY4ATscDlpaWmhpkX0fiUSCubk5ZmdnuXbtGqFQiEAgkCHddjgc6B1vy1hHCV1Fm30JJTGL6dtCfNsj8sweUEIDaDMvYKBgJmsgRsvSNJtj7B8B0Ftft8Q3TZvvlo/LSrMBCG8nZmAXwtuFNvsyih5EuJox0+6rLV4EwAzssolLURSUpGuB0DwZbgGKouCcfU66KbSeRHO6Za1s/jKmaRB3dpFYWEg2vC7gEgJUd+H4Ir2+A2nEk4x4zOT4b7VI4pk7K+tPribZt2OEATXldi1fSHFrWYhOJQUPSooIveuSN9YintWAGvH8CMCKciwHgkoikHy1mampKXp7e2lpaeHgwYM4HNX9apXSvOp0OlmzZg1r1kizzVgsZgsVLl26RCwWo76+3iai+vp62cQ58gRKdAyh1aG3vQmj+XhqzeG/BSDkP4RvsRc86tI0mxlHm/geAHqWqABhoM5LnzSj4cCSPSc2vs+OrlwXPyXXWPPjGZGRmk48pGplii2lzhqJIATalCQKo/V19phwZ+SafD8D2+0x4YnQHJphIkyNeCiUezprfDYVhaxJkq6taNtiv06g+IjHsslpOQ6Rm/Kyb11lA+CmX5J/63dBaFBetoinFvGsCtSI5w7GSoykziYA0zS5cuUKg4OD7N69m87OzlVnIOp2u2lvb6e9vR2ASCRiE5HVQ9QUcHFk+i/BiGLWdZHY8kupBeLTOCbkWIKodzeehZcQrk5ZZ0mH6iJ69xdwTD2N2XAw86bgZRQjgnDUIfxbyQsjhjYti/fGmh/PWkOOV0gnHsD2aRNZPTxK+BpqdARUJ0Zj0qBUmCghGQ2Ium32dFZF0VEUMFVX3umsjvFnUBEogZ3S1iexkDQrJeVKXSrxpNd3LJJYYr1TIqaT9Z2GvcmRFAp425M31ohnNaBGPHcoVmokdTrxRKNRenp6SCQSHD9+nEBgmVkwVXreSuH1evF6vRk9RGb/l3HExzGESk/8J4hevElTU0hGRVN/B6aOWb8XZ0LWYozme5fUaQBE3XYS6Uq2JNS5pIy64a6cj7Ogzb4gCcrThhlIs8QxYqghGV1YhJcd8WQTj8OKdprusWsdSmwcxYiA6kB4U/UpxYwDCorDY0u308eEx2IxfCPfx2EYmI1HEbEYjuBVVEDxtKVqKaVMH43NyMmuAK3HYeAv5WW7h8f6vEv43gqRIh5rwJ6nPdWMWuvjWRWoEc8dCMMwGBkZIRQKsWnTpqpGIBYBTExMcPbsWdra2ti9e7d95vxag6Io+H0+fDN/haqC0XiQdfs+xOycFCsMXrvI0fD/xtBiTLf+GI0zXwFyqNmWgWY3jh4ofL8JqWbTW38so7ahhvpBCISzEeFKzesplGrTppMChZY054SkY4Hp25hZDzKTfVXJ+lX66AtN0xBGAsfcyyAgUncYIxTCNdmHxzAQ7g2IeFyOEjd1SRPFRDxTSQFAYCe4m+V0VKiseTQ0IMdcq67U+HB/FynyqkU8qwE14rmDkN6bEwqFmJ2dZfPmzcs/sAQoisLAwAATExPs3buXdevWLf+gKj3vSnm1OQb/HDU6DKhE9/4PAvUNBOob2LBhA9rNv8PRL4io65hcVGmIjBFT3FwZ9dIYGymuh0iYqPO9AJiFiEcP45iRNQ997QMZN6mLVpptt01Idj+U5sOs24GZHsFExyTJKEqGs4IakuO4Tf+2zOdOqtpEnuZRbfGcjMRcjahN+1FQ0CKDICDh6iSabPhtjE/QaJogFFiupmil2daclH+zU22ijIjHklE3HUyZl/rWp6LMWsSzKlAjnjsE2b05KzHCIBwOk0gkmJ+f5+TJk/j9/orWK9XzbUWIRw/hvvqYvNj6OkTD/rQnNHGN/C2K5sC17efZF5/GXHQzrd2Fx1dfdA+RGuxHMcJJgliahrOgzTwHZkIOn8sihpSwIFVXst4PY+0bMdZmSre1aSl7NurvynBWSBFPVp3JjnhyF/W1GUkSRvMxUFQUQIsOycgosAWHw8HIyAiaa44G08TQTcJJ5+30ZlabiISZWd8x9VRTayURj5VmazmW7NsBfLWIZ7WhRjyvcaT35tg5/6TxZD7ZczkYGxvj3LlzqKrKnj17KiadUrFSggXnlS+gxCYQiovYzt/JuE2b+qFUuTnr0dt+Ak/3BxFA0H+YLVukiitXD5HP58t0VUjKqM2G/QXrO45J2TxprHnjEgmxRTxGUlgAhYnbVrNlG5jmIR7Fci7IF/HYxJMePV2Xa/lS6VxNBUVRUTSH/R2MxWJEo1FUVU2JFcL9OONz4PChNO6XYxqEIWsx2aO/i4Wpp8xLW4/BmFQY4utKi3hqxLMaUCOe1zCyBQTpeflC/TalwDAMLl26xMjICPv27ePy5cu3TbVW7YhHXbyA6+ZfAwKj+QQifb6NEDhv/g0AesdDKIlZOTYBlUVPqremUA/RwMAA586d46D4Lq1mlJC2DYeu55aaJxbQZuTZur7mxzJv0xdRk1JjM7Az46acn0ViHm0hWVNKc8ZGD8tRD+SIeIz8qTYlMoIaviHTdk332GtZTa9mcp6PaZooac4F6Y4YllDBMAwMw0CM/BDVMDCa7saM6TjmruAQgG8Dik3OJX7ec2fljCFXE9Rtk/5vkEU8tVTbakCNeF6jWK43R1XVig/UoVCInp4eFEXh5MmT+Hw++vv7b8swuKqTnanjuvz70g/NUU9i0/szblYXzsooQ3WSWPcO6WANRL07MdS6XCsCOXqIohF8L/wewhBcngowPfZMzh4igPjG96EG+xH+zLqcmlR+CU87OBvt6/N9Dtr08yAEZt1WhOX2jHTNBhCupiXGptnigoz1rGin/i577IIakQd14Wy0G2WFEGnEkykuSI/EAZzzr4ACiYYjxCMR3LP9KIaB4WzHjERkak4IFEqo8FhptuZ7pJuDJbrwdabmFdVSbasCNeJ5jaHY3pxKU20jIyP09fXR1dXFjh077APG7ZxCWs3ndQz/rbSwESamfxtGVpThvPk1APS1D4Kr2e6tCfnvKel5PPpN3GoM4W/mrpM/SyQatyOivr6+rDlEbyOwPrBkHn0qzZbZN5Qv1eaw6jtpajYoICyAlLggh0ForjSbEr6eXCtFkqZpoiq5iScDehBt8RygQOsJnE4nWmwYFNBdncQiERRFwR2N4DZMDF1HSSTsGlFeWI2jrccgPCQvu9fK9J2eNBytRTyrAjXieQ2hlN6ccgnCMAwuXLjA+Pg4d999N2vXrs24vdq1o2JRVUl4dBTX4J+jJOYw3WvR1709o6iuhG/YRJNY/7MyDZZMXYXqjkA057I5YdnkmPX7QNHsHqKOjg6EEBnNrENDQ5immTGHqK6uDi2YFBbUZabZchKPEUGblQfg7AF1dh9QjgZWo/V+hHttBpHIRcL2KAejJa2+kyQe4UsJAQpFPBnvydxpGZF519sRmRq5iYKCUrfR7iNSSH3n48FgynnB6bRdFWwiSgRhTjp/03JMulNDqpenJi5YVagRz2sEhUZS50I5BBEMBunu7sbhcHDy5MmcMuHXfMQjBK4rn0sbe9CA3vH2jLuoC+dsGbLwbUQb/2d5oPRvRne2QXQx99o5YPfvNB5ccpuiKPh8Pnw+H52dnTnnECmKwsn4S3iIE3JuwpVFNtnfA232ZWkk6mlfooxTQskenhzEYwZ2L3ViIEkSpi7X86ZIRg1L6bOZRTyqVZcpRDxJYjSajqbWi8gIxWpqtVJzFtlYKk1d10kk5OygDFeF6RfQhIni3yBdCoaTEY9l4pou6rBmLdVw21AjnlWOYkZS50KpBDE8PMz58+fZuHEj27Zty5vSuF3EU62IR5v8PtrMSyj6AsLdhtF8PKMOAmC0/ySRxsO2xNgxbSnEcszeKQRhphypcxiDZiPXHKLQzA3c3QskdJOXLiygXHnOjoYSicQSoYLtat1yf+bBVQjUYDLVVlfAsicLGWm2dMKziWeTfV26uEDkcy4QwiYe0yIePSwdwQHTuz7nw7JrRJZYwRoB4Rl9FpdhYAQOIKJRnIuDqAIUfw7iQVDWqIUaqoYa8aximKaJrutl2d4UG/Hous758+eZmpriwIEDdlE8H6pBPOnqu1IeUzHhJRZwXf0CCFOqt1Q3+rp35LyrHPQGmHFU6wy95X6YKZ4ElfB1lMQCQnVj1u1a/gFZUFWVRmUYt8uNs3ET9x76N7Z0e3R0lPn5eTRNk15zTU00NQTwzryQ3GuWjDo2hmKEQdEQ3iK90ISwiUdPH+9txqUHHDkiHsWKePKcuESGUKLjoDowklNYLcVeulAh61FLr8kWKyxIGXU8cBA9EkFZGEDVdYLxOrzRKJqp47BWEmZBWXsNK48a8axC5OvNKQXFEM/i4iLd3d243W5OnjyJx+NZdt3bmWqrFK7rX5YqNtWNokiVWHq6Jxe0udMoRhThasGs2wEzQ0U/X6q+szfDnqYUpDtSq6qaMYfowoUL6LqO0+lkaGiIkbOvclAfBVcjk7F2mhIJew5Rqr6zCdTihvIpoSso8WlJnGmpQiV8Q9r3OALgbLavlxFPYZNQbVYqz4z6u1IjJ5JptqXRTnHfMyU6LmXiqgoth6UiLjZCQte5MhxjW1sE9DAB3UBRFBLRMA6XL9N5u4ZbihrxrDJkj6Quh3Ssx+UjCCEEQ0NDXLp0ic2bN7N169biz+Kr1B9UKiolPHX+LI7Rb8n8vqsB4lMkOt6+7Jmvlp5mU0qTqKtz3QAZB+2S921b5SyNmFRVxefzsXWrTJ2ZUyZcOciiaGHg+iDn+s5TV1dHU1MTXfFuXEJg+rYsWScfHMlox2w6nCG+yKjvpH1vMsUFud/X3PWdpDQ7a6hesVDnZLRjBnZLube+iJJYAEB3teNwOBCkhuOFwyGUmGxDyBYr1Ijo1qBGPKsI6b056WmEcpAv4kkkEvT19TE7O8uhQ4fsxsdS1n3NRTxmAlf//wTAaL4HbfYVOSG0/ScLP06YNvFkK8SWhRBFG4MWWiOXVU7q5szPQW09Bq3HqBcmxxSVeDxuCxWCo6dxxhYZUVTizqv2QLxC5q65ZNSQW9Fm7Sfe+m+Ith2TabNsmHG0JBkbzSniSUU8+YinMBlos3KCqdF4WO4vItOAhlafcuVWUqTidGgIVbN/b/aY8DSxQo2IVhY14lkFWIm5ObmIZ35+nu7ubvx+PydPnlziKVYMqpVqu5U1HsfNr6GGr0tnZ002f+qtb8hoxswFdfEiSnwWoXlLjlqUyCBKYg5UZ85opag1oqNyuqjqwPQvjVTyWuYkow2Xy0VbWxttbW14FqMQqqOu4xCjsRgXLlwgkUjYzazNzc0EAoHUyU58FnXhPLCUeHIJC0CeOAn3GpnOywF1vgfMOMLVgkiLvOwazxLiKeLzFqZU3gFG4xG5v+R6ccfa1OvJUrVZajn5X2HvPx6PE4vFakS0wqgRz23GSs/NsX5Ug4OD9Pf3s3XrVjZv3lz2c7zWajxK5CauG3LOS3zDe3EP/C+AvKKCdNhptuZjec0z8z7WOrOv31fyYy3YaTb/1pxrFG2yakTlwV1Vadp4lCZX85Ieops3b2b0ELWbr+JDYNZtQ7gzBSe5pNTWfgpF6ZYlkNF8NJWiE0LWjCgU8eSHEroq63aaR9bSACUpfIg72tL2k/4+ZZ6QpY9/sF4H1IhoJVEjntsI0zQZHx9ndnaWLVu2VPVLbP3g4vE4fX19LCwscOTIEbswXS6qRTylrlFWbUkIXP2fBTOB0XQYxYxJ9+e6bZlD1vLAngTaXKSMOj4nZ8CozpJk1PmgBvOn2SwU852xrXKcjeBqth+X3UNkjdKYnZ3FPfotNCPIjLaR2M2bNDU14fP5UISRVpPZZD+HdZJTaD92Sixd0JGYkYPpAOHtzHxAEd8RbfYVIPk+J0UTVgQVyxvxFP4eFSKifNNZa0RUGmrEcxuQ3psTCoWYmpqyC8TVgvUDOHXqFIFAgJMnT+JyVTDHPm3d2yEugNLJSpv4F5mGUZ3Et/4X3Oc+CoDe8Y5lGwiVyE1Zy1AUjObjhTaFunAW542/wnnjL4lv+kXiez6V6vZvKC1Flw7Lo83II8Uu9v0opn9HURTq6uqoq6ujq7MD7+IoZtzHZPMJJicnuXLlCg6Hg/a6KLvjUVRXAOFOuVpYe8nb/xWbTL2fyZQYgJq0thGe9vyRYSEym5PEk76mEpVGqDFtbZ6Ip/STHiCjkTV9Oms6EVlCBYfDUbXsxZ2IGvHcYmSn1hwOR9UP5EIIbtyQZ6VdXV1VjaaqIS5YWFigu7sbgObmZlsinNO1OYmS95+Yw3XtSwDEN/w8SnQENTqKcPjRs2bX5IKdZms4mLu3JDGPY/yfcYx9G3WhDzUyCGYC5+Cfkuj6OZT4rKzv1C8fWeWEMFGDknjy1YiKTbWpBRwLct5/4SyKEUb1NNO+6wHaFVkvnJ+fJzH0z9KBO+7h/KlTGWankP9zsptG63ZlvJ+WY4HpK7K3KB1mPCXgaEojs2TEE9XW5CaeCkcjLJnOmkZE0WjUvo9FREtmEdVQI55bCSvKSRcQVNv7LB6P09vbSygkTRHXr19fXZ+zClJtQghu3rzJxYsX2bhxI16vl7m5Oa5evUokEiEQCNhE1NDQsOTsuZTndV37I5TEPKZvE/r6d+G+8AkA9LafsPtHCsFOs6W7FQiBJ3Ke5pl/wvfieTATKPFpOR5AmAhHgOjdf4wW6pePDewpu76jhK/L/iHNs0Q9ltpOccSj2D08OcxBcy6sYwZ2SvFAMkVl9RA5F+M45/w41xxl59qdtsfc4qK0Ebpy5QotLS3yvs5Uv5DdhNt8LHNvBRRtia7/D73jrQhHrqZSSZCYCYSrCeFLeszpYUn6QExdg8dOtZUf8SyHGhGVjhrx3AJk9+akf+GqSTwzMzP09PTQ2NjIiRMn+P73v191IUAl5qN9fX1MTU1x6NAh6uvrMQyDtjbpEBCNRpmZmWF2dpaRkRF0XaexsdEmolKgzp3BMf5dAOI7PooSn5KjAmCJL1tOJObQFs7KfbfcB/EZHOPfxTH2j3TOX8U0TPC4wIwhTB0FFeFuJrbz4xjr3oLr4ieBCus7i2nGoAV6jZY9cAmR5kpdXA+P2XQP0aZ7ckYGliu1qNucMYcoHA7zwgsvoKqqPYfI6iFqaqxn/YxV38l09055tOWwynE1I1zNS69PwqrvGI1HbGKx0mzCESCBF1/6yYuiJOtGKyuOKUREN27cYHFxkW3btuWfzvojgBrxrDCyR1JnN4RWg3iEEFy9epWBgQF27txJV1eX/TzVTuOVQzyW+ajT6bQdEiyjRwsej4d169axbt26jEL3zMwMAwMDCCFwuVyMjIzIqZ45DEwBMON2z47e8TbM+n04B74MgNF4CFFESkebPiUjGFczzoE/wjH1jJyOCQjFw4J3F27nKGpsHNUIYno60Lv+HXrXz2X27yQtYcqBluZYkA/FfA5KbAJFD8rm1yz58/IPXkp4qR6ezLWsQvyOHTtQFCWjh2j04vdoWhhFOAIMTrho0mfsHiIlbEU8pafatGTjaEaaLaloE95OTNPM6lNSAIEixApTTybSf/NW20TB6aw/AkRUI54VQrrtzUrOzYlGo/T29hKNRjl27Jida6/G2rlQKpmNjo5y7tw5NmzYwPbt2zPm+hR6DrvQ3dWFaZpcunSJxcVFRkdHuXTpEh6PJ6M+ZKV1nDf+D2rkJsLVRHzzL4IZxzH2jwDo6x5a/vXFpnFe/zJq6BoiNm2nbczALvSOtzExMUvL+JdRhYESm8T0dGI0HyO+7VdAUVAiwyixKVA0zMDeot+nbKQUbYWJZ1mXciva8W0s2ion/xOachKptV4aTNPMOMCm9xA5Pc+jXa9j0X8PsbjOhQsXiMfjNNTXcc/8NRyaguHuLM22MzFviy/MdGGBNWHV24kZMTPTtYqajOJuXzuAYRhL5gplT2fNJ9++k4ioRjwrgFJ6czRNK5scpqam6O3tpaWlhUOHDi0pzq9Ez42qqvbrKgTTNLl48SIjIyPcdddddkqt3Of0eDwIIdizZw+6ri8ZLx0IBGjzh9k2/hcIFeJbfxkcAbSJJ2Wfh6tliXGmDWGizr6Mc+xbaFM/RA32AyamZw1Gx0Mk2t+C8G/FOfhntI3/GaZpgGEiPO2Y3i5iez6VkvJa0U5gtxxAVg7MOGowKQgoIKWG5VNtip1mq1w1qUTHwEyA6kR41mXcVogEtdmX5GfY9Ub2tO+xe4gWx89jTukE4wrPv3SRhsZx+0QiEAgUlmYnm0ZN3yaEu9W+3hrtLTzrMUNZxGNRW4XigkpgEU868jlvpxPRww8/zHvf+14efvjh27HtqqNGPFXGciOps1FOVGKaJleuXGFwcJDdu3fT2dm5ItFULhRDZpFIhO7uboQQ9sjsajyvBYfDQWtrK62t8oATi8WYnZmm4dKvEY2EmFZ3cXOokabQdbZM/i0g0DvetsS4UolN4hj7Do6xb0uBAIAeQqhuhG8jkRP/BA4vJBZw9/062sxLxIRA1xrBEUNofmJ7H81wQLAPiBWk2dTQVRAGwlmPcLfnvV9JEU8ViMdKs5m+DUvScFbEswSJ+VQjbLK+Y/UQBeoTuL1e3P4tHN55j52au379OoqiZAzE8/v9GevnSrNBqsZjJlNtGZEFapJ6VhfxZCMXEY2NjRVUfb7WcOe8ktuMcm1vSiWHSCRCb28viUSCEydOUFdXl/e+t6PGMzk5SW9vL21tbezevTvvj6yclEG+53W73axXzuBShxD1LcT2fJI1YTfh8W4Sk68SR6V/dgv1jmGaGuupi/TgHP9H6UWWXFM4AuhtD6JERnDMPC+dDRxelNBV3H0fl7UD1UWobj/e4Eug+Ijt/l1E1sTOlD9bJcKCNGPQAu9TMdFsNYnHHnftXaqyy+daYDd4+jcvcUBIV7Rlp1atgXjT09NcvXoVh8Nhk1BTUxOeZDOqmfRns5Cy3+nENEMZe4oe+UtAWbKPWwnDMErup1MUhXA4XJUTuNWCGvFUAZXY3lh9McWcvU5MTHD27NllD+rZa1cT+YhHCMGVK1e4fv06e/bsobOzM8ejK3vevIjP4Lz2RwAkNv0C3uatrG8GV+RraKE6IvUnCfi9qNe+DIs/RGcBHBqm5oDmg5jr3o6x5g2gOPC+IK109JZ70Sa/j+vS76GYMYSnnUTHQ/gvfQETmcozs6XB0VEZOSkqZmBf2a81pWgrnGZb9jtjxFKqsWKl1IX2lbTKySVSyLcX4WrGaL0/J/HZe8typVZVlfr6eurr69m4cSOmabKwsMDs7CxjY2MMXnieY7EraA4XY9EOGmMx6TtoxFBikwCy9mZcyIx4sgb+3Q4sFTwsD0tsEwgEVmhXtx414qkQuXpzSoH1wyj0hTRNk8uXLzM0NMTevXtZt25dzvvlWvtWRDyxWIyenh5isRjHjx9fkR9IoUjLde2LKPoiZt1W9M53yiv1oKzvGBE8xhg7Rn8VAOEXJJS1THuOM2gcZGq2jrpEHU0Lg7S5x/HGZxEOH9rMCziH/y8ARtNh4l3vxnPu14kLwYz/x2la92+X7EO15u8EdtmuyOXALpovYy66HPGo4QE5N8fZWFCWXPS+rIgnhwlovlSb2XiQWB6D1eVdqZPPq6o0NjbS2NjI5s2bUYdv4LjkIejcxtDoNH2XBvD5fLT5Q+zQE2iuADgbl6TaVgOsFHypCIVC+P3+FdjR7UGNeMpEem9OKSOps7Ec8YTDYXp6ejBNk5MnT5b05VspcUE6mVm9Q01NTTkFDoVQjb2psy/hmHgKFIX49l+z6ziOiX+xB7ipwWtJq5ZD6O1vxWi9nwbVxV2QIftd6P8WddF5VC2EFv5rDIeGseHnMNb/DJ7uD6KYMcK+/Yw2/ntydRbZxqAVpNnQw/YB3ijC1bqgOtBuHN2yrEXQshAi5UqdQ/q8nEFoLqR6eEozB3XOv4rmcODf8GMc2XjEFpskhp8iHoszH3Vx+eWXSSQSLCws4Pf7V019pJgaTy6Ew+FaxPOjjkpGUmfD+rEahpHR6Q0wNjbGuXPnWLduHTt37iz5C7uSEY8QguvXr3PlyhV27NjBhg0bSnoPyjEJXfIYI4qr/3MAJNb921SEIASOkSfk9Rt/AUVfRG97MGeTYrrs1zt7CTU+RUJtJiZ8nBXvZHpoO0cG/zOaOYJSt5HRll+GRJ7pmsmIpyJ/tuBl+RLca2xDz3xY7j0s1SqnEJT4lDTzVNSc72NecUE+6GEpO6dEV2phos4lffCSwgJLbOKIgmvej7P5APG1mzh37hxDQ0NcuXKFQCBg14eWm0O0kiiHeOLxOIlEomA997WGGvGUgGqMpM6G9fh0gjAMg0uXLjEyMsK+fftob8+vbFpu7ZWo8RiGwZkzZ1hYWOCee+6hsbGxqs+RD9mvxXnjL6X/mruVxMb/YF+vznejhgcRmge9/S3SMXoZOG78H7TZF+TjG3aj7vs9dns3oZz9OI7JG8RMNy+Hf5pYbAan08no6CjNzc32TCMlNiHlxoqCWV9JfUfOwFlORg1FpNqKMActFkrS4dr0rs/ZD1RqxGM7DDgbcnvh5YEavIyiLyI035L3yJJSK3UbWLNGCggOHjyIoih2VGv3EDU0ZPjM3aqUXDk1nmAwCFAjnh9FZAsIqkE61jrpkUkoFKKnpwdFUSqWIq9ExGNZ27S0tFTN8boYZL/XSugqzptfAyC+9SMZNRXH6BMAGGvftDzpmDrOgf+Fa+DLgBwNHT38Z+AI4Br8c5zzz4Hbi7n/c9wTuItLly4RDAYZHh7mwoUL+Hw+mpubWUc3HiEQgZ1FEV0+WMagxaTZoECqLcMqZ2WFBVB6xGM1oua0yin0OFvNdnCpPD4qFW2mpzPDLdvtdtPR0UFHR0fOOUSGYWRIt5frIaoE5dR4gsGgLUG/U1AjniJgGAbBYNDuIK72l9IiiJGREfr6+ujq6mLHjh0Vn4VVk3gsg8/r16/j9Xo5dOjQLe+itiMeYeLu/58gTIyW+zBa77fvo8SmcEz9EIDEcr5s8RncF35XSqD1IMLVSnz7ryYbT5/COfgX8m7bfxWz8SAa4PV6URSF3bt3S5fmuTlmZmYI3XwGb3SRSVoIX7uW1+h0ORRjlZP+fuT7DJT4lJxeqih5TUZLQb7hb8XsJed6SdlzqcPf8vXvyDWTUVSyhweWjmlYbg7R4KB8nYV6iCpBOak2S0q92oQSlaBGPAWQPjfn6aef5vWvf/2KFCkVReHKlSvMzs5y9913s3bt2uUfVOS61SAeXdc5f/48U1NTbNy4kYWFhVtOOhkNpKP/gLpwHqF5iW/7SMb9HGPfloTUsB9Rl/9MX104j/vCb6PEphCKA1wt4KjDaL1f3nb5UQAS639WputywOl0smbNGtasWYNnYRq0OhY7TjIdieQ0Oq2rq1tGFj4r03UkzUGXQaE0qh3teDeW7ZCdDruHpwDxlJRqi1jWO6V5tCU2/gJm/UsYTVkzkswESmxc7sWzPi/xLNlHlj2TEILFxcWMHiJN0zJ6iKyTj3JQDvEEg8Gqkt9qQI148iBXam0lBqAFg0F0XSccDnPy5Mn85pdloBp9PNkGnzMzM8zPz1dph6VBCIESm8I58McAJDZ9ILMZ0NRxjP4DAHrHQ3nXcYx+G9fVPwBTx/RtQF/zAK7Br2DWbQfA3fcxObW0+QSJzf9xyR6yocSm5Nm2ptG45Q00OgI5jU6t0QIWEWV/1pawwPR2gWP5fH7BiCdYPWGBTNtdl+tVK9VWyJW6AMyGuzAb7lpyvRIdk9Jx1Y1wNWPGYvJ5SowSFEXJ20M0Pj7O5cuXcblcmc2snuKskawacanEc6dJqaFGPDlhzVpP782pxFMtF4QQdp1A0zR27txZVdKBylNtuQw+V0KwUAysg5rz6hdQjDBmYKd0F0iDNvMcSnwa4WzEaH3d0kXMOK6rX8Ax+i0AjNb7ie34GO5Ln5b/bzqKu+83UBJzmP4txHZ9ouBIAgt2/45/GzgC9n6zu/GtA1i60Wk6EfnSHQtKfF+W7ClUPWEBiVmZtgNEHhfpkiIeIVDKTLXlgxpNpdlIniRWw1Qzu4fIMAzm5+eZnZ1leHiYixcv4vV6bRJqbGzMW/e0fou1iKdGPBlIT61l9+ZomlaUOWYxSE9dHTx4kIsXL67Iwbxckkg3+MxO/VWLeMr5EQWi3TgW/hUUhdj2jy4hBUtCrXe8dUl6SYlN4b7w26gLUjUW3/Qf0Lv+vZxiOfsKIFDnzqAGryKcjdKDrcgm0JSM+kDe+2QfwHIZnR4ST9NiRgkp63EWkZIpFPGopQ5/KwC7vuPpAM2d8z4lRTyJWRRdDiosNeLJB8W2yllv72claiKaptHc3Exzs5S6p3+O169fJxgMpuYQJYnISs+nt1+UgnA4XIt47lQs15tTrCvzcrDGPns8Hns2TbWjKQvlRDxWw2o+g8/bFfGoZpSuxb8BNyQ6fxaRTIvZ+woPSoNORUFv/6nMx8734j7/29Kl2lFHbNcnbLsbbfYVMONgxNAW+kBzEdv73xGe4iXsarJx1CxAPNlYYnQajeJ98TOImODSmIPZ0WdsyW9zc3NOpVXez8GMy1HcgKiKOWhhRZu1l6Jtoqw0m6e9KvUnSBuHkHTNvlWuBdmfYzwet4noypUr9mTdpqYm+7dUjqqtRjx3GIrtzamUHIQQDA0NcenSJTZv3szWrVvt51kJ2TOUXpeyvODa29vZtWtXzjPulap1LYeGya/jMqYRni0kNr5vye1WbcdoPpEiDSFwjP49rqt/CMLE9G8mtue/yXRMEtrMs5CYRzGjCHcbsR2/jllfwhyd+LR9IDVy1B6KhYd5PEoYvH7uOvEzROKmPZH1xg1ZiLfOopubm/F6vXkP9mroetIqpx7hail7T/Z6ywgLoLQDfUrRVp1oB0CNZkY85VrTVAqXy8XatWvtLEE0Gk0NxBsdBeDMmTMl9RCFQqE7qocHfsSJJ3skdaHenEoinkQiQV9fH7Ozsxw6dMgeF5y+9kpFPMVEJ+ljFpbzgrsdqTZ18TL1s98mAcS3PQJaVi3MiOAY/ycAEpaowIjhuvJZHOP/DIC+5seJ7/i1zMcKE8f4v6DGxjA960lseA/G2n9T0uuw3KjNuq0lNUJmwx785t+C4vDgc4DP52P9+vW20mpmZobJyUn6+/txuVwkEglmZ2fx+XwZdQUl3bGgGr1mtpR6U977lBLxKNYwuTKmjuZdMzKSXFOeVKwWnzaPx2P3EM3Pz9vO7aX0EIXD4Rrx3ClIn5uTPvsiH8qNeObn5+nu7sbv93Py5Em70z0dK0k8y62bbvC53JgFa81qpdqKOlAJE1f/ZzCEYMZ9hObm40vu4ph4CkUPYXrWYTbdgxIdx33+41IlpijEN38QvfNdSw7C2uT3kwd8Fb3tzTkjqeWQGoNwoOTHpiM1CmGpY0G60mrTpk12gbu3t5fx8XEGBgbw+/22SKFtsV+uVYX6DqSNu85hDmqhFHFBPlfqsiGMtJHXK1vjqQSWoq2zs7OoHqL6+nrq6uruSFXb6vpkbgGsKCcej9vheDFf0FIjHsvL7KWXXqKrq4vDhw/nJB1r7ZVKtRUiiZmZGZ5//nncbndRpFPMmtWGY+TvUIOXEZqPobqfXXoHIXCM/j8A9HVvR53vxnPmA/Ixznqi+/4n+vp/t/TMXw/ivvA7IAxM3wbiuz5elIItG6n6TgXGoKQ5Utctr2izCtyaprFnzx7uu+8+W3F1+fJlJq48RzgcYizoZ35+vrLvVmIBJT4j95ZjDo+FUsQFSpVTbUp0XE4VVZ0IV6u9n9VGPNk9PJbysauri7vuuov777+fAwcO0NDQwPT0NH/8x3/Mpk2b+OEPf8jAwAD9/f0l//a+9KUvsWnTJjweD8eOHeOll14qeP9vfOMb7Nq1C4/Hw/79+/nOd76T974f/OAHURSFxx57rKQ9wY9YxFPJ3JxSIp54PM65c+dYWFjgyJEjNDXl8jJOYSUjnkQiseR6IQQDAwNcvXqVnTt30tXVVfxB4xYSjxKbwHn9zwCYb38vieDSVJa6eF56kqlOMCJ4zj4CQmDWbSe259O5RQLCwH3+E9K2RXEQ3/EbJY2ptt+r+GzKSboS4hGmPYPHCCzfOGo/LJneyqgrCIH7uU9jxJzMGmsY7e3FNM2M+pDP5ytBCJC0tnG3FlT5FZ1qE0basLbqRDzpVjnWycNrgXiykd1DtGvXLg4cOMAf/uEf0t/fz759+1i7di1vfOMb+bM/+7NlVY9f//rXeeSRR3j88cc5duwYjz32GA8++CCXLl3K2aT+/PPP8/DDD/Poo4/y1re+la9+9as89NBDnD59mn37Mv0H//7v/54XXnih6BEt2Vhdn8wKwjRNYrEYuq7bqbWS6gxFRjyzs7M8//zzAJw8eXJZ0ill7VKRi9ASiQSnT59maGiIo0ePluwqfcuIRwhcV/4AxYhg1u8l1JS79uIY+XsQJkLRcA3+BQiB3vYmond/Ka8yzXX1D9FmngehY/o2oa99U1lb1BZ6ATldM338dalQIkMoRhhUF8K/pbTHZnvYxafRzBAul5ttB97Efffdx6FDh2hsbGR6epqXX36Z5557jr6+PkZHR4lGowXXV4uo70DxqTbZ6GnI6MTdtuz9i0HKKid1EFyNxFNq86jH4+FNb3oTjY2NfPCDH2R2dpY///M/58CBA0Wt87nPfY4PfOADvO9972PPnj08/vjj+Hw+vvKVr+S8/+c//3ne/OY389GPfpTdu3fzqU99ikOHDvHFL34x437Dw8P80i/9En/913+9xFG/WNzxEU+h3pxSsFzEkx5FbN++nY0bN5Y0hfRWpNqselNdXR0nT54s60tzq1Rt2vQzaNPPg6IS2/6rKGFtKeEl5nBM/DNKZBDc7eDwE9/6S+gd78hbVHeM/D2Okb9H0YOYng6MlpMlDW1L30M5MupcsKOduh1LjC+X20su81RIFu5VFwoQCAQIBAJs2LAB0zSZn59nZmZmidGpFRWl20IpoaQrtS9zxHc2ij2oZqTZykht5l7TklKn1IqrkXjKncVjqdp8Ph8PPPAADzzwwLKPicfjvPrqq3zsYx+zr1NVlQceeIBTp07lfMypU6d45JFHMq578MEHeeKJJ+z/m6bJu9/9bj760Y+yd28J6s8s3NHEU0lqLRuFGkhjsRhnz54lFApx9OhRGhoaSlp7pcUF6VLurVu3snnz5ormB614xKOHcF39PACJrv9PRgHhySXP67r6RdnwqToRng5iez5ZsNaizr5sr2t61qGYMYzm+8reZqpxtNL6jmUMuvwohHTk+hyWm8Fj2fZYkbhldDo7O8vVq1cz+k6am5tps4QFy3iqFRvx2D1BVUqzQbprQapmtFqJp9zpo6Wq2qampjAMg7a2zKiyra2Nixcv5nzM2NhYzvuPjY3Z//8f/+N/4HA4+OVf/uWS9pONO5Z4Kh1JnY185GBN4GxsbCw7ilBV1ZZ0VxPW7Jze3l5mZmY4fPiw3XFdyZrVIJ5QKMTMzEzGTBsLrut/ghKbwvSsI9H1Hvt5bQiB48Zf4Rp4HDAw6w8RPfSnmb5t2fsODybFBAK99X4cU88AYLTcW94LSMzb7gCVEo9mSalLqO9A7ognNQqhuMbRdKNTSPWdzMzM0NfXh2vhDH41zMSCB2/dYl6j02LFBeW6UheCHfF478yIZ7XIqV999VU+//nPc/r06YqPp3cc8WT35lSDdEBGPLGk8aD1PFevXmVgYKDkAn02ViriscY6NzQ05JVyl4pqEM/Y2Bhnz57F4/Fw8eJFO9XT3NxMszYi6zZAfPuvZFi0CCFAD+O+/Cja2HdAJBDuNiL3fLVwD01iHve530DRQxj1+zAbD8PUM5iBnbJoXga0+WR9x7dh2UmhBWHqqMGk/LkIRVs2lhBPcvhbuY4F6X0nQg/heTaGoTuYCPuZPn06r9Fp0TWepJS6asQjzLwRz+2aMpoP5ezJklyXKqdubW1F0zTGx8czrh8fH887WLK9vb3g/Z955hkmJibYsCEV/RqGwa/8yq/w2GOPcf369aL3d0cRj9WbYx3EqzWsDTLJIRqN0tvbSzQa5dixY9TXl984mL12tTAyMsLAwAAul4sjR45U7eyvEuIxTZPLly9z8+ZN9u/fT2NjI4Zh2GfYly+eZ8/C76EoYcJNb8Bw7KQuzU3CY4zj6f4SangQRV9AuNuJb/pAYdIxE7jP/zZqdAThaSe259O4L/8eAHrL/fkftwxUq3G00vpO6BqYCYSjrmTfsiWfQ5pVjllgJESx0CJDaKqG6m9h38F7MU3TbmTNNjqNRqNFnZXbKrkq9fAosUkwdVA0hDul1FqtEU85Y1WCwSCBQKCkx7hcLg4fPsxTTz3FQw89BMj35KmnnuJDH/pQzsecOHGCp556io985CP2dU8++SQnTpwA4N3vfveS+tKDDz7Iu9/9bt73vtJ64O4I4rGinFgsZvflVNvJ1arxTE1N0dvbS2trK4cOHarKfJ5qEo9pmly4cIGxsTE2bNjA/Px8VX+AVo2n1MFfVqNqPB7nxIkTeL1e4vE4TqfTlgI7hk7juDpPXDQy4Ho7U8kz7ObmZpr1c+yZ/wKq34HQ6mSUoXrQlxn25rryGNp8D0LzEt37KKju1DCxMtNsiqKgzZ+Ra1RKPFaarW5HSS4DFumkfwZKeFBa5TgCdj9LJch2LFBVlYaGBhoaGpYYnYZCIRYWFpicnLQjooaGhswzfCOCEpuSa1ZdSt2RIcwwTXNFZmdVAsMwyprYW65lziOPPMJ73/tejhw5wtGjR3nssccIhUI2SbznPe+hs7OTRx+Vs6c+/OEP8/rXv57PfvazvOUtb+FrX/sar7zyCl/+8pcBaGlpWeK64nQ6aW9vZ+fO0tLEq+uTKQOWgGBoaIjh4WGOHj26IvbhiqKwuLjImTNn2L17N52dnSsSTVWCcDhMd3c3iqJw4sQJ24a/mrBecynEMzc3R3d3N42NjTZZZ79eJTqKa/DPQdVQdvwX9rbfJ0cJzM/B1T+lYfLrmKbJWGw7BLbRGnsamg8ve+ZsNB9Fm3yK+O7fRfi3oE39K5gJTE8HYhmlVj6oRhDVmndTLceC+j0lPS4X8ahVtspZzrEg3SAzFArR3NyMy+VidnaWCxcukEgkMoxOG5TkoDZHAJylCXDy7jFt6mg6VmvEU06qrVx36ne9611MTk7yiU98grGxMQ4cOMB3v/tdW0Bw48aNjPfo5MmTfPWrX+XjH/84v/mbv8n27dt54oknlvTwVAOvaeJJt71xOBy2/U21EYlEGBwcLNpWplRUw516YmKC3t5e1q1bx65du1BVlWAwWPUUXjrxLId0NV1BibkQuK58Dsw4RsPdGG0/AYBqhmkb/n208Cl0t4fr4iiO3b/Mmgv/gWgsxrmJzeinT9v1oVw+V0br64k0HLTTcdr0s/L6lvvKPjj7YtbAtvUId2UmnLairYz6DmQRT7CKM3gozhzUgmma9tlve3s7QggikUiG0Wlr4gx79TB63UZi4XBFkzwtpIQFmWnK1Ug85dR4otEohmGUnGqz8KEPfShvau3pp59ect073/lO3vnOdxa9fil1nXS8JonH6s3Rdd3+glVzXk46LMfmQCCAw+FYEXVJJRGPaZr09/dz48YN9u3bR0dHh33bSjR7Fks8hmFw/vx5Jicnl1XTaZPfR5t5CVQH8e2/CoqCEhqQfmuRm6A6md/4SwxOdHKfdhm3U0fUbWbbvp9nZnbe9rlKL3w3NzenJkNaNSBhoE3LHgajpXwZtS+WJIsKox2MKGo42SdTwvA3yBfxVCYsyIZt5lkE8WRHwIqi4PP5MoxOjcsXUIc05hON9Lz4Ii6XyxYpWNFSqbCFBZ47M+IJheTcotWgaqsmXnPEk683x4p4qgWrED40NMTevXtxOBz09/dXbf10lEs80WiUnp4eEolEzkhsJUQLxRBPesrPmjmUF4kFXFe/IC92/RzCtwFt8mlclx9FMaII91piez5NVF+LGL+Ac/Sb8r4db8fnD+DzB1i/fr1d+J6enrYL316v1yahpqYmnItnUfRFhCOA2bC/7PfAF70EahX6d4L9sibjai4oBc+FJe+/EGnD36pAPGbcPqgv51pg7afQgV5RFHxiEofLzdpN9/C6ztfZjaxDQ0OcP38+w+g0fYBaIeTzfVutxFPqnkKhEKqqVn068e3Ga4p4CvXmVDPisYahmabJyZMn8fv9dkPWSqAcgpienqanp4fW1lYOHz6c80e6Ei4D1g8nH/FMTU3R09NDR0eHnfIrBNf1L8tR094uEusfxjnwxziHvgqA0XhIjp92NaHMzeEzhlAX+kDR0Nt/csm+rMI3pBojZ2Zm6O/vJxqNslf9ZzoSMfTG1wMq5SR5VDOCN34dPG7MxoNlrJC2Vhmjri0siXgSMyiJOTn2uczaVTqU8I2kUKEOnMvLxYvp47Fdqb1dSyZ5WiMe0j+v+vp6m4hyzq0RIlXj8WR6ht2ueTyFUG7Ec6eNvYbXCPGk9+bks72pFvGMjY1x7tw51q1bx86dO+0vykpNCYXSiEcIwbVr17h27Rq7du1i/fr1BWcIrVSqLXu/6fvas2cPnZ2duR6eub/5Xhyj3wIgvvk/4j7/W8kx1JBY/7MkNn/QViopikJb7Blwgd76elhmwFl2Y2Q4FML36ucxDYPzU2uYefbZ3Gm5ZeCJXASEFCeUGKVko1zHgnTYwwQtsYO3K+946pL2Zk8d3VhULWzZPh4hUtFJDkFIuroRZF3VIqKbN29imiaNjY02Efn9ftT4tJweqyhLfPlWa8RTKvFY00drxHOLsdxIagsWMZQq87VgGAaXLl1iZGSEffv2LWmyWikjT2vtYognHo9z9uxZgsFgUdY8K9WYCpkRTyKR4OzZsywuLhbf12QmcF/9HAB601Hc174gDSRVF7Edv4Gx9o0Zd1f0IGsSr4DLjb7uoZL362ccL7Pgb2D3sfexGDYy+lHS03KF0jy+aDJKaTxQ8h6yYUmpjQoiHnutEh0LlkOx5qAWlo14EnMoehAA4Vm+X8nr9eL1elm3bh1CCILBILOzs0xPT3P16lUcDgedvgl2JOIo/i7pTp61n9VGPOWIC+7EWTywiomn2JHUFqwPtJwmrVAoRHd3N6qqcvLkSXs2evb6tzPimZ+f58yZM9TX1xdtzbNS4oL0dS2Juc/n48SJE0UXiLUbX5WqKWHimHtFjqb2dMhRBjmaH72z30cVcUz/Lsz60kdMa9PPAWA0HkZ11tHQQEY/Snaap6GhIadazhtNkkWlwoLEgp0mKkfRlp1qq2p9B1BKULRZ+yn0+7TTbO61JUdkiqLkNDo1Bi8TTySYnlO58sILdgTb2Ni4Komn3BpPLeK5RcgWEBTjQFAu8YyMjNDX10dXVxc7duzI+8WwIp5yI6pCKEQ8Qghu3LjB5cuX2bZtG5s2bVo1rtejo6OcO3eOTZs2sW3btuLfl/ANtME/R4lNIFQPOBswmo8S2/nbuV0IhMA7+W3igN7xUFkyaMe05c22VM3mcDgy0nKWDHhmZoYbN26gKApNTU20NHpZF01GFhU3jiYHv3nWVTQyO0U8MtVWLUVbORFPQXFBgTRbyXtLqhed8wbOBT+OtiOI5q0ZRqcg0+ZW7e92k5B1Il2LeCRWHfGk9+aU4kBg3bfYdJhhGFy4cIHx8XHuvvvunIOR0mF9YVaKeHLtW9d1zp07x+zsbFkGnys5wuDq1atMTEwU9d5lQAgc5z8tXaVRwLWWxIafI7Hx/Xlt8tX502jRYQzcZc3OUWJT9oRPveXksvf3er32eOJ0m5jg0DPoiRgxtZmbNxZobnYUrb5a8prs+k55/TsZEY+ZSBFFVRRtetp46k1F76dwxJO0yvEWdrkuBVYPj+LvWmJ0+uKLL6LrOn19fei6nlEfymd0upKwft/l1njuNKwa4snVm1Pql6NYgUEwGKS7uxuHw8HJkyeLkiqmR1TVPnvKFZksLi7S3d2N2+0u2+AzXYFWrR9aLBZDCMHc3BwnTpwo+UehXvsT1OEn5MjpwE7iu/8rRuvrCz7GOfIEAOPOe1hfwuwcC1aazazfs6woYcl+09RyTp7EWHSx4N6LEGLZtFzBPVWgaIPMz1Ra5ZjS781dwklAHijRYRAGQvMUvd5y4gI1bJmDVmfcNZA2yTRzTY/Hg6IobN26Fb/fTzgcthtZBwYGMkZDNDc33xKpsvX7LifiudN6eGCVEE+15uYsRzxCCHv41caNG9m2bVvRJGLdzzCMsqfuLbe2RbjDw8OcP3++9BRWgXWr4dQ7NzfHmTNnUBSFffv2lU46N/4Wx7mPg9ARdTuIHPwK1BWeuKnEJtGmn8FQYMxxL+UctrQZ6VagV9A0CnL+jqlAPLDf9qbKTssBKaftAmq5akU8kCUsqIpVTmmKNlheXKBUexyCEGkD4JaOX04/efX7/fj9frq6ujIi2LGxMS5fvozb7c4QlpTTyLocLFeVUn/L5drlrHbcduIxTZN4PF6VuTmFiEfXdc6fP8/U1BQHDx6ktbU0E0Vrbys1sA2kOqy/v5/x8XEOHDhgpw4qXbdSgUG29c21a9dKi/rMBFr/51GvfEmSjreT2H3fQSh+eQAp8Jk7xr4tZ+jU7ScUym3nXhB6GG3uNFDB7B0AI2KTRdidkj/nS8sVUsspsSmU+LTsuanbUdZ20iOelGNBaWOz8yFlDlqcsCB7P0tvNFGTZp7LDZQrGok5OS6cpT5tVj0l13c0l9Gp1ch6/fp12wnaiogaGxurctJWaunAQjAYrEU81US1RlKnIx/xLCws0N3djcfjWb6TvgBWSlJt/UBefvllNE0rOv23HPL13JQCwzDo6+tjamrKrjNdv369eDKLTeE491soUy+gJOYR7lb0Y/8HXI2IeLzwZ27qOEb/AYDo2rfCQOn712ZfBFOXvmre4g+k2VAX+kAYJLRmEo7cJwS5Dmq51HJdrmusNwyU+m2glf85ZwsLTH/loxCAlI1PCfWdQqk2JTomRxeoToS7Led9St6jZZXjXgNqZoRifTeLOTlyOBwZrsvxeNxOy128eJF4PF5WKjUblYy9tqbF3km4LcRTzZHU6cgmnvQz9c2bN7N169aKI6qViHimpqRVfENDA3v37q1aDSk91VYOLOsbS2ZuEXaxkZ8yfxbH2d+E6CRKfArhXY+58ecQjXdDEY/Xpp9Fic8gnI3Em+5FXOsu+TWkTEHvrSgNZY25jnh2F71OPrUc179FOBJmPOFl5ty5smoNGam2qpuDWqm2TSXtJd9vyx7+5unMKyApFfnMQSH1fS/nd+RyuQoanQJL6kPFHFPKJZ5IJEJXV/Wmta4W3BbisYuiVRzUBpnEk0gk6OvrY3Z2lkOHDi2ZI1EOqh3xpBt8AmzdurWqwoVSnKSzMTk5SW9vb07rm2X7g4RAHfkm2uXPJYd0KQhPB3jaMbb+x6L34Bh9AgC946dQtDLy7qaONvMCUJkpKKQGv4U85dVkIJWWc88soBl1GOteR0zz27WGYptYIS21FU9a5VB8hFIQwkyTUhffwwP5D/QphVz1DqApq5ylDhmVEE86chmdWqnUyclJrly5gtPpzJjImk8EVG6dNRgM5uwrfK3jtqXaVsLOxSKe+fl5uru78fv93HvvvVUrFlYz4sk2+Dx16tSK1Y9KWTd9pPfevXtZt25p4bbgZ2fG0S79T9SRb8v/Nh1CnTsDqgt9x38BZ3H27kr4OtrcGVAU9I63gVE6gaoLPSh6EOFsxKyvYKaIEUNbPA9AuALiASQpL14CFDxth9gc2LwkLXflyhUikYjtVdbc3Ex9ff2SkzRFUVLCAu/6itJ29prRMTATMi2Wo2ifC+kTf3NBjVRf0WYPgPMuJZ70/r9qQlEU6uvrqa+vZ9OmTfaxphij03LVsDVV22sAqqoyNTXF5cuX2bp1K5s3b67ql69aEU+6weeRI0fQNG1Fmz2LXTeRSNDb20swGCxofZM34omO4zj7mygLF0BRMbZ8AHX6BRACs+UEYu2PF71vx4h0oTaa70W416IkmwJLge1W0HKiohSPungeTB3haibhKEPgkAYlOoyiL4LqwEwTAxRqYh0akgfudG85K+JZMascb1fR79myqTZrvEIVe3jyDYADqiJUKgalGJ3WiCcTdwzxxONx5ubm0HWdI0eOrEhBrtKIJ91IM3uK6UoRT7GRpWV94/f7l7XkyUU8yuwZHOd+C+Jz4Ayg7/sUSnQcZa4HNDfGzl/JqI0UPCjoYRzj3wUgkebLVlLEIwQOq77TXLmMGpI2OYoCFUTqtozav32Jv1g60tVyVopnenraTsu5XC50XSc60YtTiJw2Q+VAKVFYAMWk2qx+m+ql2lJS6vzEc6tRyOh0enoa0zTp6enJMDpdjhxrcuoqo5pnI7Ozs/T09KAoCu3t7SumAqkk4onH4/T29hIOh3NGEytJPMuta9kGFds3lEE8QqDe/AZa/xdkE2NgG/r+3wPNg+PcbwNgbPkAeJembfI9j2PyeyhGGNO7HrPxcMH75t1j6ApKdBxUJ0bT4ZIemw11rhtAjkEIVrRUWf076SkeKy138+ZNrl+/TnSqDyWxyMBNHc0YyJuWK3p/6T08RaJgqs2IocQm5P2qlWpLLMiokcIRz+1GutHp9evXmZubo6mpKcPoNL0+lK22FUIQCoXKnj66mnH7P50KYEUQr7zyCps2bVriKF1tlBvxzM3N8fzzz6NpGidOnMiZwlopqXYhIYBpmly4cIHz589z9913s3379qIOWHb6zoiinf8k2uXHpMln+5vQD38ZvOvQ+j8PiUVEYBtm17uK37AQOEb+HgC94+12uqdUoYTDSrM13VNZ7cOMoy32ybWSg98qOWmqxJHagsPhoKGhAbdTY613Eb+/jsC6g4RCIXp6enjmmWc4e/Ysw8PDtm9Z0fsr0aMNCrsWWIo24QiAs7GkveSDGh2Ra7qac362q4V40mGaJm63mw0bNnDgwAFe97rXsXfvXrxeL8PDw5w6dYoXXniBS5cuMTk5SSwWA8pPtX3pS19i06ZNeDwejh07xksvvVTw/t/4xjfYtWsXHo+H/fv3853vfMe+LZFI8Ou//uvs378fv9/PunXreM973sPIyEjJ+7Lwmk21xWIxzp49SygUskcEXL161f7AVgKlkkMpBp8rIbaw1s1FlrFYjO7ubnRdz+vIXWhNNTaG49WPoSz2y3rOtg9JglEUlOkXUMeelNfv+pg9U6eotRf7pNOy6kJve3PRj8tGSkZdoZpt8QKYCYSzMekzdqX8xYSBungZKN+xIB1ecxyEgeKso23jAdqSJxmW8mp8fJzLly/j8XgyJrHmVcsJUbIrNRR2LciwtalSliPf1NH0/aw24smWU6fb9mzZssUWl1hGp//tv/03JiYmqKur4/z58xw+fLho26yvf/3rPPLIIzz++OMcO3aMxx57jAcffJBLly7l9FV8/vnnefjhh3n00Ud561vfyle/+lUeeughTp8+zb59+wiHw5w+fZrf/u3f5u6772Z2dpYPf/jDvO1tb+OVV14p6/14Tabapqen6e3tpampKaMeUc0ppLlQSsSTbvBZTM3pVqbaZmdn6e7upqWlhb1795Ys8wzEL7Dmyl+gqDFwNaLv+zSi6ZC80YiiXfoMAOb6n0bUlzbkzI521r4xw7U5PeJZNhUYm5BjpQG9+URJz58NLZlmMxoPVHzgVEIDKGYMoXkrNssUQuA3R0BJ9u+ktSikK690XbcnsVrOzelquUAgYB+klfgUihGR8vcS0mLFRDzV9WjLLyyA6llEVRPLWW1li0v+8A//kO985zt85jOf4bd+67f45V/+Ze6//37+03/6T7z97W8v+Fyf+9zn+MAHPsD73vc+AB5//HH+8R//ka985Sv8xm/8xpL7f/7zn+fNb34zH/3oRwH41Kc+xZNPPskXv/hFHn/8cRoaGnjyySczHvPFL36Ro0ePcuPGDTZsKP27/JqKeNKlvjt37qSrq2vJ+Gtd11fs+YuNeKxCvdfrLVrOfStSbekR2I4dO9iwYUNpJwBCoN74a7bOPobq0BCtd6HvfxQ8qW50deDPUSKjCPcajC3/v9I2G5/BMfU0AHrHO/JsYfmo0Ip2zPq94CrN0TsbalJYYCbTbJVAs0Yh1O2suJFSCIHPGAZH4VEIDoeD1tZW2yIqGo3mVcut1QbwklS0FRA+5NpL/ognqWgrIYJaDraUOoewAFZnxFMqGW7atIn3vOc9/MZv/AZjY2PMzMzwve99b1mfyHg8zquvvsrHPvYx+zpVVXnggQc4depUzsecOnWKRx55JOO6Bx98kCeeeCLv88zPz6MoCo2NjUW/pnS8ZognGo3S29tLNBrNK/W9FRHPcuuXa/C50hGPZX0zPT1dnupPD6Nd/O+o499HwSTU+G+oO/zpTLuS4FW0G18FkCq2Ak7SpmkyPT1NXV2dXVR1jP+TtLcJ7MIM7My4fykEaRFPpaagmAm0hXMAGA0HK1uLZNqO6qTZABnxUJqU2uPxsG7dOnuyZ3paLjT1FNuMIBG1nvDkZOG0XBqKTrVVCcVEPKuNeMpxLgiFQgAEAgHa2trYvXv57MHU1BSGYdDWlmlN1NbWxsWLF3M+ZmxsLOf9x8bGct4/Go3y67/+6zz88MPFTRvOgddEqm1qaore3l5aW1s5dOhQ3h/DSk4JtdZPJBI5b0uf71OuCelK9fFEIhFeeOEFHA4HJ06cKN2rLjyE4+zHUILXQHUw3PhuaP9p6tJJR5g4Lv6eHHew5nWINa/Lu1w8Hqe7u5vFxUUSiQR1dXU0NzWyc/z/IhAZEupsLBvx6MFUeqzS+k7wEphxhLOhaPuYguvZirbS0o+5YEc8lN/Dk52Wc1z6Huqwm3nnumXTctl7yZtqW4FxCIrtWvDaqvGUM31U07SyRqKsFBKJBD/7sz+LEII/+qM/KnudVR3xmKbJlStXGBwcXNL3kgu3K9Vmjc6uxOBzpYhH13WuXLnC+vXr2blzZ8lffmXqeRznfxcSQXA1o+//78xdN2nIup86/ATKfB84vBg7Hsm1FCANW0+fPk1DQwPHjx9HCMHs7Czxm0+RWBgkjI/LY2toStykubnZFj0Ue6Kizbwoyc/bVbETsjp3Bkim2UqoMeWEGU81e1Yh4lESczjNBcCP6dtc8XoAWnQIzeGkdfNRmtYeL5iWS/eWyxvxJObSZM9V6uHRQymLoBwSfWs/q5F4yp0+WspraW1tRdM0xsfHM64fHx/Pq/ptb28v6v4W6QwODvL973+/7GgHVjHxRCIRenp60HWdEydOFCUpvB3igrGxMc6dO0dnZ2dZB3YL1SYeqx4WDAbp7OwsKkzPXMBEvf4XaAN/BkIgGvah7/9v4F6DovRkRh6xSbSr/wsAY8sHwZN7eJg1KnvLli1s3rzZjh7b2tpwT55Bq6sjuObfUu9bw+TkJP39/bYiy8olLxfxZJiCVohU42jl9R01eEX2OTkbq+LQ7IgkGz29nQVTmqVAtRVtm4DCabl0tZzD4chJPHaazb0GtPIc4bOhWFJqZyM4ch8TVmJYY6UoR/BQzkgEl8vF4cOHeeqpp3jooYfs537qqaf40Ic+lPMxJ06c4KmnnuIjH/mIfd2TTz7JiRMpYY5FOv39/fzgBz+o2PtyVabaJiYmOHv2rJ3XLPYDW2niSY94TNPk8uXL3Lx5k3379lXcQ1TNNKFlfWNZqjc0ZMcny0APoZ3/JOrkMwCY69+Bsf0jdsE5uzdIu/wY6GFE/S7M9T+9ZDkhBJcvX2ZoaMgelZ3+eCUyjDbzEqCgbXonG72dbNy40VZkTU9Pc+3aNQA75drS0rK089tMpExBW+8v7TVnw9RR7frOgcrWIr2+s7MqsmJndBCUwsKCkhCfRUksALmjk0JqubGxMWKxGK+++mpGWk6z02zVNAe1aka56ztw50U8peKRRx7hve99L0eOHOHo0aM89thjhEIhW+X2nve8h87OTh599FEAPvzhD/P617+ez372s7zlLW/ha1/7Gq+88gpf/vKXAXk8+Zmf+RlOnz7Nt7/9bQzDsOs/zc3NZXlhrqqIxzRNLl26xM2bN/MaVBbCrYp4otEo3d3dGIZR1vjnXKhWxLO4uMjp06epq6vjxIkTnDt3rrR1Q9dx9P6G9NdSnRg7P4q57q0Zd0knHmXqWdSJH6T17GT+4BOJBD09PUQiEY4fP57zDM6auWM0H804oKQrsgzD4F//9V9paWlhfn6e69ev215ZLS0tNDc34w52oxhhaQoa2FP8a84BNXgZxYgiHIGqDFhLEU/l9R0AZ2QAhRXwaPN0FBWdpH82DQ0NDA4O0tHRwczMDDdv3kQIwW7tBToScQxnR1X2CBScOmphtRJPqXsKh8P4fL6SU7vvete7mJyc5BOf+ARjY2McOHCA7373u7aA4MaNGxl7OXnyJF/96lf5+Mc/zm/+5m+yfft2nnjiCfbtk8a6w8PD/MM/yN/ogQMHMp7rBz/4AW94wxtK2h/cZuJJP4CFw2F6enowTZOTJ0+WdTDXNK3g9MFKoaoq0WiU5557jrVr17Jnz56q9QtUY7qpZX2TPnuolHWVyX/Fcf6ToEekHPquRxH1Sw/g9uemh9EufRYAs+vfIQLbM+6X7v92/PjxJVJQRVEQehTH2D8CoHc8lH9vyR/funXr2LRpE6ZpMj8/z/T0NIODg/T19bFP/Q4diRiJxkMgQK0gsEjJqO+qygwZ1ZJSV4l4HNHrcr2qEY9crxSrHAtCCBwOx5K0nKvv/6InElweijA1+7x9gtDY2Fj2+Hh7kmkBscJqJZ5bkWqz8KEPfShvau3pp59ect073/lO3vnOd+a8/6ZNm6re3L4qIh6rTrJu3Tp27txZ9sG8UgvyQhBCMDExQSgUYt++faxfXz2VDhRWzC0H0zS5ePEio6OjS0ZmF+WIIEzUa3+Kdv0v5H8bD6Dv/3TeHhgrOtMG/hQlOo7wtGNseX/GfcbHx+nt7V1WVu6YehpFX0S412IU0eyZbkhpdX4DxKJRPC/9AaZpcn5qDTPPPmunfZqbm0tW8mnzUliQK81WsrhAD6EmHZqNup3L3LkICANnbAgdMKtmDlq6VY6FbHGBlZbzuBZQfX62736AZmUHMzMzXLt2jXA4TCAQsKPVfGq5nPuMJCXky6TayiW2lUI5NZ5yU22vBdxW4jEMg4sXLzIyMlKVOon15V2uS7hUxONxenp6CAaDeDyeqpMOlJ9qy077ZVvfLLtuYgGt73fl+ALA7HoXxrb/DGr+r4aiKLii11Cn/xYAY9dHbc8sIQRXrlzh+vXr3HXXXUv6A7JhDXtLpPmy5XvOQvAmbuBhAeFvZO/xX2AxHGd6eprR0VEuXbqEz+ezD3QNDQ2FDwLCQJ0/K19bYxX6d5LRjvC0gatyA1slfANFJDAVD2q1RklnCQtKQU45tTDteoxat5lWb+4m1uHhYUzTzFDLFbJvKqYvaLVFPFYWphziuRNHIsBtJB4hBC+//LKdWqvGlD1rBkc16zyWvUxjYyN79+7lwoULVVs7HeUQTzHWNwXXDV6V9ZzIMGgujF0fw2x/cNnnVTBZO/mnoJiYbT+OaJGRiq7r9jyf48ePL+uqqy5ekgPWFAd6+08u/4LJr2qz3Qqa7kFxeKiv99huztaclOnpaS5cuEAikbAPdC0tLUvGF6vBfhQjgnD4q1K8t/p3jLrqNI5asuyIoxN/lUZJV5JqyyWnVmLjcqCcoiE8mSeU2Wq5YDDI9PQ0ExMT9Pf343a7M7zl7JNII4ISn5bPmce1wNrPaiIe63hUTh9PLeKpMhRFYffu3dTV1VX1S+JwOKpCPEIIBgcH6e/vZ/v27WzcuJGFhYUVEy+UQjzpe8tlHZSOfO7Uyvj3cFz4b2DEEN4OjP2/t6RGkw9NC0/iiV2DulaM7f8FkD+S06dP4/V6OXHiRFERpz3aes0blrW2WS7i0WbyuxWkz0mxrOZnZmaYmpriypUruN1uu/7Q1NSEx6rv1FenvqNV2bFADV1BABFnF1U5LOmLKPEZoDxrm1y9TRkebctEsoFAgEAgYE/1tNRyAwMD9PX12Wm5td4FvAhw1Gf4+GVjtRJPLeJJ4bam2hobG6veNFkNZVsikeDcuXPMz89n2MusVJNnKWvruk5fXx8zMzNFm49mvB/CQLv6OOrgX8v/Nh9B3/cpcBYpuY6O0zLztwiBTMm5W5icnKSnp4euri527NhRXA0ksYBj4nvyNeXxZctGXhKNjqIGr4KiyGmjy6xRV1dHXV0dGzZswDAMe1iX1a1/SPwLzWaMmHsnWrkNo2koZwZPwfVCVzEERJ3VkSnbM3jcreAoncpyHejVpJS61MZRTdNoaWmx+0Si0aj9+QxefxZvJEjc28b0zZt2E2v257MaiUdRlJL3FAwGS3ZAea3gtqvaqo1KzTYXFhbo7u7G5/Nx8uTJDI36Ssq1iyGeUCjEmTNncDqdnDx5kmjUzd//vYphwM/8TO7HZhys43M4+j6BMiOtzI2NP4e59YPFn9ULgXbps5giSsi9Da3jp7h29SrXrl1j3759dHQUL5tVx74DZhzTvxWzfl/Rj8sFe8R1/f6SZ75ompZhohkJh6h78dOYhkHPkIPw2LN2NGSNOC4J8ZnUILRqCAsANXQNg+oTT7lGnrkiHrVKrtQej4eOjg46Ojpw1PegXfER922wG4xzpeVWG/GU65YdDodrEc9rBZWk2m7evMmFCxcy5MjpsBRiZdumFMByhDkxMUFvb2+GQ8LYGHzmMxp+f37isQhNWbiEdvZjKNEx0Dzou38L0fbGkvaoTD6NOvUsKBo3G99LtKeX+fn5vKateSFMtGE5/iDR8VDRDZX5Ih6beKrgVuAzR3BrOqKuhYPH/x3zC0HbMub8+fM4nU68Xi9zc3PU19cve4DTFpMyat/GsqKJJUjMo8SmAIhViXhSM3jKs94plGqr1LYoHWp0BE3TqG/bw8FNB/Om5aLRKNFodNUQULkq2zt17DXcgcRTTlRiGAbnz59ncnKyoMGnddZiGEZRrr2lIF/Ek64Sy44qrNp9KASmCbm+24qiEFh8BserfysNL33r5SiDuhKL5noIx+U/AGC64a0Mz3uor08siQqLgTL7Kkr4JqbmRV/7AKVQ+BLiSSykpM+VulEDmu3Pth9Vc9qS7a1btxKPx+nr67OHEJqmmSHZzuXRZ00czXbbLheWsCDhXIupVseGphJhAeRJtUWq71pgN48mpdTZablYLMbMzAz9/f3cuHGDGzduLPGWW4ksy3Iop4cHKuvjWe34kSeebIPPQv0e1o/rVg1si8fj9Pb2Eg6Hc6rE0oOMxUVY4oxj6rRO/gW+mW+B14fZcgJj7++Cs/QZ7trVxyE2RUxbQ8/iEVxeF0eOHCnrTE69+f8AMNrejFC9RRNProOGNvMCCIHp21QV6/2UP9uBJbe5XC58Ph+BQICtW7fa3mVjY2NcvnwZr9eb0SSpaVrVHQss4om5NlbtIFr1VJsRQ4lK08nqDoArLKV2u910dHQwODjI9u3bcblczMzMFEzL3QqUSzy1VNsKYSXOPkohHqtxdf369ezYsWPZg2h6n1C1kU08CwsLnDlzhkAgkFcl5nCA1wuRCCwsZBFPfAbH2Y9TP/siugBj8/swN7+/LJWWMt+HevPviMVjvKq8iTUd68tPY0THUaekB1yio/AkxVzIjni0meql2RAm6nwvAOYy/my5vMus3pSLFy+SSCRobGjg4Fw3bsXA8Fc34om5Sxzilw9GJEUSZY5+yO7jUaLJsQUOPzgr71sCwIynamUF7HIgVVOx1HIbN25ckpY7d+5cxsiHYtKm5aJc4qnJqV9DKIZ4LE+44eFh9u/fv2yTowVLmbLSxGMNk9uyZQtbtmwpeIAJBASRiMLiogIk/dMWzqP1fgwlNolQvVxv/nm2b/kP5W3M1FEvPEokEmZUOcj2e/898/PzTE1NlbWcOvxNECZm40GEf7PMERaJJe+DGZdjEKhOmk0JXZMuCpqnoBAg1+fhcDgyJNvhcJiF8YuI8VmChuCls5M0t160D3TlpmrVoCSeuKtawgLpqCCcjcUrG7OQXTy30mzC21UVQ1RIc6XWvMuSWa6TonxpuZmZGTttulJpuXJO0izZ/3K9cK9V/MgRTyQSobu7u+zG1ZUaNmft+/z58zmtb/Khvh4mJmTEA6AO/wPa5c+CmUD4NzKx5sPMzRR3tvWe9zgYHlb4kz9JsCXpi6lf/StiE70Yip+1r38Ud6CRhYWF8rybzATayDflxfX/tvTHkxnxqHNnZKOnq7kqUmVtvkfurX5fQeeG5aAoCn6/n/rAAm6fD8O/nZ2b9tuWMX19ffbZtmUZU9RBThioYTkOIebaiKJXfmBMCQvKH02dnWpTVsSVOkk83s5lyayYA72Vluvo6LCbWK203JUrV3C5XFVLy1US8dRSbSuAW51qm5ycpLe3t+RxC+lYqYgnkUiQSCSYm5vLaX2TD9YJ0eKCjnbxf8qIAjDXvB5jz8cxJ+YxzaGi1opGZdouGJTR09zoeVx9X8Dl1HAf+BgEZAd6Uf5vOaBMPg3xWXA1Y7a+DozS1sj+vjjSZ+9Uo9GzQH2nHFj9O6J+t322vX37dqLRKNPT08zMzNhOwekihXwTJ5XIkDyh0LzEtVYUozxvv4w9Wj08FUxYzT7QZ0Q8VYKSrO8UUzMqNcJIb2JdibRcJTWeWqrtNQJN04jFYhnXpSvD9uzZQ2dnfruNYtavdsQzMzNDT4882z527FhJX9L6egGmQaj7z1C1b8omyi0fwNz4HlBUFGWh6P1aJ1cLC4LB69dxnv0EDW4N59qj6Ot+yr5fPlnzctBuSgm10fl2GVGUceC0n1eYaTLqytNsCIFqRTxVJh4jS1jg8Xjo7Oyks7MT0zRZWFiwxwlcuHCBuro6W6TQ0NBgH+SsNJvwb0l+tpWfuNkebf5NZa+RHfHYijZfFSMeK9VWwCrH2kulMupqp+XKIR7TNGsRz2sJ2RFPLBajt7fXngdTac60mhFPuvXNli1b6O/vL/kHU+8cQwmFWJyeAWcd+t7/anunWfstliTq6kAIOHfuBvWh/8sB9w00p5/Erl/PSG+URTzBqyhz3aComOtKFxVYz2tBDV5GiU8jNA9G46Gy1stYO3wdJTEPqqs6DgPCTBuFkL9epKoqjY2NNDY2smXLFuLxuH2Q6+vrwzAMmpqaaGlpoTOUlGb7t1Stl8x2pfaW32+zRFywIlLq4iIe6ySrmkKB5dJyTqfTTpvmSsuVaxAK1Go8K4GVTrVZJppNTU0cPHiwKr031Yp4dF3n3LlzzM7Ocs899+D1eunv7y/pgKKOfofF/hCmeYQFYyOJI18BX+YPsxSbH69XJxSKMze9yIHdT6HpDoyN7wZ/Zv6/nNlBVsOoueZ1cjR2mfM9LMLTppPTUZuOglr6BMQl+7PSbPX77EmrlUAJD8r6k+ouKY3lcrlob2+nvb09w0BzfHwc58TzrBFBJhd8hF3hyr/PZhzVUqCV2TwKWSahifm0SabVk1JbPTyiCEUbVJd4MvZRRFrO8pazItZy3PIt4qml2l4j0DQNXdcZGBjgypUr7Nixgw0bqiQ9pToRj2V943K5OHnyJG63257FU0qaYDq2ib97ro1grIG5xo3gW/q4YqOT2dlZZmcX0LRO2pWbaPo8wr8Rc9N7ylrzxg24cEFl7VrBwf0h1LF/kq+v8x32GqV+Jun3t9JsuUxBy0GxabZiI71U4+gOUMqbL5VtoOl5IYoZdhN1djEzM4NhGESjUTstt2QU+HLrR4ZACISjDrGMSWshpJ8s2fUdd6s9KqNimDpqbFSuexsinkIolJazIlZL2h0KhYqeKBoOh3E6nXnrfa913HHEA3LyZTgc5p577qGxsbGqa1fq12ZZ32T3DpXTnDoa3ktjm44z4sHpMoGl+yom4hkaGuLixYt0dR3lXLcgPHoZAGPnr+WMJopJ3506pfL5z2u88Y0mh9d8V0419W1ANB0p+vXlghACJTKCGhqQ9awihscVsajtWGA03F35eqRZ5VRpFAKJBdT4FKrDyYY9P0b02gi6rhMIBGy13HIpn2yooetA0rGgghOz9JOlVJqtelY5SmxMRsiqC+FqWXYv5RhyVgvZablQKMS5c+eIRCK8/PLL9mdk/cv3GQWDwZJPJF5LuKNSbQsLC/T392OaJvfff3/JVi7FoNxUWyHrGyiPePbsEfzSh5186UuQpaewUSg6SZ9ceujQIYZv1qNEh1mM+DHXvQXRlHsIWjERj1UTDQVBHZZOBeb6d1R0gLO+L9bsHaP+7oL2+EWvG7mBkpgD1YmZY9R3Oai+Y8E1ADnbxiHfXKfTSVdXF11dXRiGwfz8/BLfMisaqq+vz2HkKXt4KpFSQ3bEs/ygtlKRYZVTBSn1rYLlhO7xeFi7di1tbW32Z2SNa89Oy1l7t4jnTsXq+IQqhBCCoaEhXnzxRVpbW3G5XCtCOlBeqi0ej/Pqq68yOjrK8ePHc7o4W6mnUklN1+VvMV+6P1/EE4vFePnll5mdneXkyZO0tLRQH3sGzBiL8WaMbb+U9zmLIR6fT94emp1BCV4DzYVZ5LC3QhBCpIinGm4FpPp3jMDeqtSLMBOooSvyYhVn8ACYycF02bVATdNobm5m27ZtHDt2jBMnTrBu3TpCoRA9PT0888wznDt3jtHRUVv1qVQwdTQd6eICqyG1qj08Vh1qBaTUtwKWSWj6Z3T06FHuvfde1q9fTywWo6+vj2eeeYaenh6+8IUvcPny5bIjni996UsyNevxcOzYMV566aWC9//GN77Brl278Hg87N+/n+985zsZtwsh+MQnPkFHRwder5cHHniA/v7+kveVjtv+CVUa9RiGwdmzZ+nv7+fQoUN0dXWt2MwcKD3iWVhY4NSpU6iqyokTJwqqVMohNV2Xf0shnvn5eU6dOoXH4+H48ePS3DJ8g4ZF+YVbdB0tGEmUFPFMydy82fbgEo+4cmo8ir6AtiBtbYzW+0t6fD6oc91yj40HqrNe6BqYOsIRWLYYXvyaUkptpk1ELfT+WVM+9+3bx/3338/dd9+Nz+djeHiY5557jpdeeonw+Dl0XcfwVJYWSxcXrIQrtR3xLCOltvayGoknl6rNSsvt2bOHe++9l8OHD+P1evnmN7/JRz/6UYaGhnj/+9/P17/+9aKdQr7+9a/zyCOP8Du/8zucPn2au+++mwcffJCJiYmc93/++ed5+OGHef/738+ZM2d46KGHeOihhzh37px9n9///d/nC1/4Ao8//jgvvvgifr+fBx98kGg0Wt4bwiognkoQDAY5deoUkUjEPmtfyZk5UBo5DA8P8+KLL7J+/XoOHjy4fM69jEFz1lbyEU82SQwPD/PSSy+xceNG7rrrLvsHod38e/7h+ZNMLLYzlyh80Chmn3V1gKkTnJPqHLMz06nAMAwuX77M1atXmZ2dLep1K4qCe/5laQrq34zwFD//Jy+ESLlbF1nfWY4wU2m2nVWzjLGJp24bkHsUQT4oikJDQwNbtmzhyJEj3H///WzcsB5nfIRoNMKps2P09PRw8+ZNwuFwyXuzIx5h2qm2lTEHvbOIJx1WWm7Hjh089dRTfOYzn2Hbtm20tLTw6KOP0tbWxqVLl5Z9rs997nN84AMf4H3vex979uzh8ccfx+fz8ZWvfCXn/T//+c/z5je/mY9+9KPs3r2bT33qUxw6dIgvfvGLgPxsH3vsMT7+8Y/z9re/nbvuuov//b//NyMjIzzxxBMlvxcWVtcnVAJGR0c5deoUa9as4Z577rFdpS3iKcvSpQgUE/GYpklfXx8XL17k4MGDOWf75EI5xKMnbVOWi3hM0+TChQv2njZv3pyxp8XOX+K5aw+QoJ61awu/d8VEPH6/gMQ8oYgH0bAXUZ/qZYlGo7z44ovMz88Tj8c5d+4czzzzDGfPnmVkZGRJAzDA5z/v5A/+YDfBazJtUJWmUWR/iBKfAdWBGdhblTVTirYqCQuEKcUUgOmTXkaVfL+dTift9Tpejwt/wxr2HXkjjY2NTE5O8uKLL3Lq1CkuXbrE1NQUuhVSF4AV8SixCTAToGjVOSlIIhXxLB89rkbiKaePJx6P09nZye///u/T3d3N8PAw27cXHk1vpfQfeOAB+zpVVXnggQc4depUzsecOnUq4/4ADz74oH3/gYEBxsbGMu7T0NDAsWPH8q5ZDG67qq3UZkSrID4yMsLdd9/N2rVrM27XNG3FhrWB/CDj8Xje26PRKGfOnEEIwcmTJ3POaCm0djk1HgBNy/0eWgq0V155hXg8nteOR3Oo/If/WMcf/qHK0FDlxFPnN1ASs4RND3rHT9vXz83NcebMGdasWcP27dvtz2lxcZHp6WlGRka4ePGi3b3f0tJCfX09/f0qgwMe6qKnwVM94knVd/aAVh3pamrUdXWECkrkppylpLrts/5Kv9/2DB7vBuoC9dQF6tm4cSO6rtt9Kf39/USjURoaGmyRQl1d3ZLntfaSUrR1li0hXwJhplwLXsM1nnIaSNPFBe3t7cs+ZmpqCsMwlpget7W1cfHixZyPGRsby3n/sbEx+3brunz3KQe3nXhKgWXwaR3Ucx5A04a1rcQXsFDEMz09TU9PD2vWrGHPnj0lf9kqIZ58EY/ViOZwODh06FDepkO3Gw4fFjQ0wHK9bsUQTyD6PJjrQNEIBn6cOmBkZIS+vj62b99uH+SsefTWiIHNmzeTSCRsL7OzZ88m3Z4PsX9dDxhRhLutemOkk42jZpFptmVPkoxIyoamSlJqK81mWeVY+6iEeJQ8M3gcDkfGKPBwOGz3pVy/ft0ukFtE5HQ67VSbGrI82qqoaIuNgzBAdSDca5e9/0r97itBOXu6k+1y4DVEPJbBZ3t7O7t27cp7UE8nnpUY9JSrxiOE4Pr161y5coVdu3axfv36sg4K5Ui1UxHP0ttGR0ftIuH+/fuX7XRP9rDmJTELxRCPd+LvcDr+I3G1mcWQk+HRSwwNDRXluu10OjO69xcXF2lo0NgdeI5YLMH18AaC167Z0VDZBxohqm8MGrwsmzLdrQh34Z6TotfMUrRVZU3bo62wY4HP58Pn87F+vZzBND8/z/T0tC0Hrq+vJ5FIEAqFaAlVX9GWkWYrwgh2tUU8pmlKJWaFEU8xaG1tRdM0xsfHM64fHx/PGzG1t7cXvL/1d3x8PEONOz4+zoEDB0raXzpu+ye03AFaCEF/fz/d3d3s3r2bvXv3FvwQreaxYnLT5SCbHHRdp6enh8HBQe655x66urrKPhMtV04NmWQhhODy5cv09fWxb98++7rlYGUQi4l4Cu4zfIPFm324nXGEs5GXXjrP+Pg4x48fL2rUQ/Zz1dfXs64jwNFNz+NwOHF3vYloNMrZs2d59tlnbZlwoRRozrWjoyixSekfV1+l+o6VZqtW4yipHh4zbVx59VJtxffwqKpKU1NThhy4s7PT7lEbv/YSkUiY6WhdRYqnjOe0rXKKM/ZdjcQDlEw85UwfdblcHD58mKeeeirj+Z966ilOnMjdaH3ixImM+wM8+eST9v03b95Me3t7xn0WFhZ48cUX865ZDFZ1xBOLxejp6SEWi5Vk8LmSyrb0iCcYDNLd3Y3L5eLEiRMV21tUEvFYxJNIJOjp6bFNUa10ZDHEY0U8yxHPcs4Fih7hiZ730D2wm7oGk1BI4Sd/MvcU1WLR1XCeJmaIGT5atryRRtWFEIKFhQWmp6cZHh7mwoULdtOkFQ3lOzhHoyBuduMRcmxBtexdUo7UVSSe4NKIpyLiEWaq36aC5lFLDnzp0iUOHTpEY28MEdIYnXcycuoUPp/PTss1NDSUNRpAiZamklttxGMdK0rdUzAYZIs1FKsEPPLII7z3ve/lyJEjHD16lMcee4xQKMT73vc+AN7znvfQ2dnJo48+CsCHP/xhXv/61/PZz36Wt7zlLXzta1/jlVde4ctf/jIgT/w+8pGP8OlPf5rt27ezefNmfvu3f5t169bx0EMPlbw/C6uWeKxRAU1NTQVrE7mwUsPa0tceHx/n7NmzdHV1sX379qp82cup8bz73QY/8RMm69dLQ8nTp0/j9/s5fvy4nX+H4hwRDEMeyJbrvV0u1Sbqd3IushlTcbBxY4zdu3fjdC49SJZy4Nxe/wwswNWFY7QkmzwtmbAlFbacna1aG2Af+FpaWjKait/xDi/vPtDHe94ISpXSbJAupa4S8eiLqZHP/swDUdmRdWwczDioToS38j4jIQQqOi59Ctxudh5+E1uUemZnZ5menubChQskEomMUQLFepbZEU+R+1yNxFOOhU+5s3je9a53MTk5ySc+8QnGxsY4cOAA3/3ud21xgDX/ycLJkyf56le/ysc//nF+8zd/k+3bt/PEE0/YmRKAX/u1XyMUCvGLv/iLzM3Ncd999/Hd737XVhKXg9tOPLkUMla9ZOfOnWWlriyj0JWAqqqEw2F6e3vZv39/UWqTUtYulXi2bIEtWwTj4+OcOtXLpk2b2LZtW6qhL+mIUFqqbXlVG+Q/6x4aGuINb7jIyy//GMFgHaqqY43lLhcbPM8QXoCLM/dyNM99sp2drWjImnOTHg15vV52rT2DKYAq+bORmEeNJhtmqyV+sK1y2sCRivgriXgsjzbTu75i9ZmlIHXEpcJJaD5wNuNUlCWjwKenp5mamuLq1av2hE/LVy7fiWUpzaOwOomnnEgvGAyWLS740Ic+xIc+9KGctz399NNLrnvnO9/JO9/5zrzrKYrCJz/5ST75yU+WtZ9cuO3Ek45EIsHZs2dZWFjg6NGjNDSUNwN+pVJt8XicK1euoOs69957b9VVJ+UQjxCCq1evMjAwkJcIi1232FRbPuJJ9347fPgwPp+HYHD5CGo5KJGbNDgGWDQ1+saPF/eYHNHQ9PS0TUQeMU2Lb5h43MT07qQaBkt2fce7vioecpDbsQAq6+NJWeWUPwohex+OmDVeoWtJ06w1Ctzv97NhwwZ7lMD09DRXr14lEonQ0NBgE5Et2RZmSXY5UF7PzEqi3P2UU+N5LWHVEM/8/Dzd3d3U1dVx8uTJirzWVoJ45ufnOXPmDD6fD6fTuSJfilKJR9d1ent7WVxcLFgDK3YYXCmqNsg8u0wkEnR3dxOLxexeoXjcSt3lfu5iz9i16WdRVegbPcDMYnkHdJfLleEa3P2PT4ICY+H1XD51uujaUKF9a0UMfisV1tTR7DRbRRFPxBp3XZk5qLUPAK2EWkz2KIFIJGKnSAcHB+1R4GvrYYMRQ1Ed0hy1CNwpEU85qrbXElYF8Vi2/Fu3bl3SUV8Oqk08Vqpm69attLS08Morr1Rt7XSUQjyhUIjTp0/j8Xg4ceJEQaIuVi1XirgAUgcdq7ZUV1fH8ePH7bSJZUBQacSjTT9HJKzwXP/9hNUqTN1UFPZ09KIqKkbDG7jvvvsyoiFFUTJ6VYo9CbLrO1VVtFnCgm0Z11cl1VYF4rFVW3ZkUrpHm9frzRgFbjk4Tw+9QHMwSMLZzvC160XJ503TrMrAx2qhnB4ea5zCnTp9FFYB8YyOjtoGn9YZUKWoFvGYpsn581IKbO0vFArdEsVcIUxOTtLT01O0sKFYQqurg64uwZo1xdd4rL1s2LCB7du3ZxwMLSKrdJZVeP0H+cs/e4F/Ov1GDhwXQOXks7nhDOgwrh9kY1o0ZJqmXRsaGhri/Pnz1NfX22fo+SLHF19Q2D91kSZ/9UYhIEwUyyqnWj08QqQ1j26qwnLy/VDtiKeyHh5Lst3U1ITDdwFnoo6gZ4stnzdNM2OeTbYzyJ0S8dRSbSuMjo4O6uvrqzpprxrEk+2SYH3BrYP4SljyLEcQQggGBga4evUqe/fuZd264pQ+xUY873iHyTveUZxZJ0iFzMDAQM69mGZK6l0oYCgmBbio7eWqdoigbhIMJpa9/3JQYpO0eIeZX1AZi2YKC1RVpbGxkcbGRrZu3WpPlLSIyDRNvF4vXq+XlpYWWyL+5S8u8Luvn8O/UUXUFfbUKnqfkWEUMyYHoGWlsMr9/inxKRQjDIpSFYeBVKrNci2oYvNo9CaKouJt2c7ebXvtZuKZmRnGxsa4fPmy/Tk0NzfT2Nh4xxBPLdW2wlAUperjXSslHkuOu3btWnbv3p3xxbEur0QRs1Djq67rnDt3jrm5uZKFF8XWeIqFtdaNGzfyTnlN7+XMRzzF7qmxER5+OMGzz5rJelFlhK/OnUFVYXBmJ4t+P5BfAZk+UdI0TXp7ezEMgxs3bmQo5bY0Sz+xsLYFr1a+zDRjn7awYPOSrv2yiccSFnjWg1q5s4dpmjhEGCWxIP9fVVfqtAFwpJqJ6+vr2bRpE7qu25LtS5cuEY/Hba/GUsZMryTKOU4YhkEkEqlFPCuJlfhilEs82dY3XV1Lz96ss6lyz2QKIV/EEw6HOXPmDE6nsyzhRTlquXyIxWKcOSPHCBw8eDDvaPF04qnGeUUspiTXqpx4tPkeFBUujB9CbSl+LVVVcblceL1eNm/eTCwWs2tDHb5XMQyDwdl2msbHC441Lvr58ijaLJTz21GTaTbh31T2vtIhhMDPtLzsagHHUv/EcqFYdSNPbjJzOBysWbOGNWvW2JLt3t5ewuGwPWbaioaKGQW+EiinxhMMBgFqNZ7XGjRNI5EoLSWj6zpnz55lfn6+YESRHvFUG7kIYnp6mu7ubjo6Oti1a1dZaYRSHcDzYWFhgdOnT9tkU4gALWGBqub2kbNgWeov97qs9ZxOk0qdntT5blQFLk4cZHMFimK32826detYt24dka6/RFVVZs2dLAwOcv78+QylXCAQKJkoUsSzbclt5UY8tkdbFYQFID8/n5iUl6uYZkOIzJHXy8CSbLtcLjo7O1mzZo3tsm2NAq+vr7dFI+V8HuWgnBNUayZSLeJ5jcHhcJQU8QSDQc6cOYPH41k2orAaMldCYJBOPEIIBgcH6e/vZ/fu3axfX34KoxoRz/j4OL29vWzZsoUtW7YwOTlZkMysiCffW2mapj03yUovqqpq/8tGZsRTARILEB5hdlbh1MVDtO2vwsFHmKyvv4QRVTDq7uXE0a0Z0dCNGzdyujovh0IRT7knErawoASPtkIQQtjEI3xVJJ7EDIoRlbWoIqXUkBIXZEu2o9FoRq3OUi5a/6qd7rdQ7kgEt9u9qtR51cZtf2W3O9U2NjbGuXPnSrK+WSlLHosgDMOgr6+P6enpvDWUUlCO+agFIQTXrl3j2rVr3HXXXbb1xnJRVF0d/OIvGmS/nVanu/X5uFwuDMOwh9VZ+1RV1SZ5VVWxPCddrgrfd2c9z7j/id//+k0MtY76+iqIFSLDeJ2LzIZcTMclSaRHQ+muztevX1+ilMs14+bp70U4MjcuJ7lm9fBAJRFPkniWcaUuFkIIvEKOZa5mxGNb5bjbQC0+tZxPXGCNArc+j4WFBWZmZuxWCWv+U3NzMw0NDVUTKBiGUTKpBYNB/H7/ba9PrSRuO/GsBIqRJZumSX9/P0NDQ+zbt68k65uVckZQVZVEIsGLL76IqqqcPHmyKmdi5YoLDMPg7NmzzM3NLWlQXY54Ghrg538+kyQswrGVUJqGoigZ6UuLhIQQNgkpikI0Kg8E+ZpRS8H2XR62Ht7D9adgdrbyH7e6eAFVgcHZnYQbHGSLFdIlwtu2bcs4+x4cHLSjodbWVrsWMdB7na0Bhbi6huY8LgglH5jisyiJeaB66jOZapuo6ppQ2tTR7P0U015gKRfTPf5mZmbo6+vDMAzbV86yVyoX5ajsLOK5k7EqiKdaNQgLy6Xa4vE4PT09RKNRjh8/XnIutdh+m1IRiURYWFigs7OTPXv2VO2sq5xUWzQa5fTp02ialtN5u9TPzCKdQjWd9DSbRT7WY0Ih+X+n00DXdft+5bxHjY2wY4fg1Cko55iSfcBXg5dQVLg6tQetfXkyyD77tqKh9FpEgH6EEMwkttGcY41yfi+2sMDTDlVS3gnTwGNOAu7qRjzJvqBSJd/lHOizPf6CwSAzMzNMTEzQ39+Px+PJECmUkjort8ZTi3hegygUkVjWNw0NDZw4caKsPGq1U21CCIaGhhgYGMDtdmc4w1YDpaba0sdT5yPAUtZMJxArhbYcrOe0hCKDg+PAWpqb/QiRsOtCFomV6gAcici/Xm/lJzxaMuK5Nr2brhLH0OSKhqanp1l0f1t63w03kbhwwT7wWd/XclJtahUbR23EJtFIgOJFeDqWv3+RUCJSnl6MsCAdlfbxKIpCIBAgEAjYU3JnZ2eZmZnh8uXLxGIxGhsb7c9jOYKoxtjrOxE/UsRjWfNs27aNTZs2lW85UsWIx3JHmJiYYPv27QwPD1dl3XSUkmrLHk+d7z0qds1ySCcdoVCI7u5uDGM7fr+fhgYDl0vJqAmlfxaFBArpiETkPipwdpcQBmqwH0WBa9N7WRur7CzV4/HQ2dmJ3jqBuqAScR6QqbdkNGSZaZbz/UuZg26qaI/psKxyTM86UKt3OFEjyYgnj5Q6H6rdX5ct2U73lbt27RpOpzNDpJAtGimHeCpxpn6tYFUQT7VTbdnEYxgGFy5cYGJioirWPNWKeKLRKN3d3ZimycmTJwmFQgwNDVW8bjaKSbVZU0uLHU+97EyeLBFBOaQzMzNDb28vnZ2dNDXJXL/LJZak5ICM2lAx0ZAlVvB4KvveKfFZItoGrg1Nc+byBu4+WYUTEmHS7LrKHAqzib1s29bJtm3bMg56sViM8+fP09rauiQayodqS6kBHLGbgILwle7RlhdC2D08tzriKQRFUZaMArck25ZoxJLQNzc3U19fXxYRljuL57WEVUE81UY68UQiEc6cOYOiKJw4caKiQqGFakQ8VjqrpaXFHucdiURWRC23HElY47tDoVDRNa9Ca1rCgHRxQKmkMzw8zMWLF9m1axednZ184AM673ynQVNT5nNm13rSI6FC0VA0KvdT6tch+zULdyvfC/0Fv/rnGi0tCo2NlX9+SnQUpxIhYbgZD24AjOReU2aazz33HF1dXcRiMa5du2ZHQ5ZSLjsFNDqqoHcPEXArNB/YVPEeLWjRYVCq61iAPo+ihwAQJYgLrJOdW2WZY7loNzc3s23bNltCPzMzY59ACiGYnZ0lEAgULRSqpdpeo7CIZ2pqip6eHtrb29m9e3fVvpCVRjyWhDM7nVVNh4F0FFo3HA5z+vRp3G43J04UP546H/FkK9fKcea9cuUKN2/e5ODBgzQ3y9L6mjUsa15qPV8ugYJ1ULKioVDIiRAqbnfl7/cb32jwnveqfOMbEAxWYRJt6AqqCjfnthKLO7CIJxv19fU0Njayffv2jGhoYGDA7tq3Bq3FQzHU2DRhHRqrGJ04YsMoVFfRpibrO8LdClrxqs50Kf7tQLqE3hpE2N3dbROR3+/P8JXLt89aqu0WYSXMNgFOnz7Nnj17Kmq+zLd+ORFP+qC0XCm/lVLL5RMCzMzMcObMGdatW8fOnTtL+sHmIp5K6zmGYXDu3DkWFxc5evRoxWd96QIFyGxajUYVhACnUyce14uuDeWCosjIyeWqjlhBDV1DUeDG3DZieb4O2eKC7NEC2YPWPNEF1gmTudBaOjR/Ffy9JbTYMKBgljEOIR+UZH3HLKO+A7ePeNJhDSIE2Lt3L26325Zsnz9/Hl3XaWpqsonI50tZDf0oRDy3/xOqMnRdp6+vD4BDhw5VnXSgvIgnFovx8ssvMzs7y4kTJ3LWmVYy4skmiaGhIV599VV27NhRVjSYvddKSScWi/HKK68Qj8erQjq5oKoqTqcTl8tFPK6iqgo+n2oTs67rxONxdF23X0uxsMQK1di2GpQRz43Z7bZVUC4UEn40Nzezfft2jh8/zvHjx+lqWgQBAxPref7557l48SKTk5OVjYg34zgSSdeCqkqprdk+pdd3YHUQjwWrxuN0Omlra2P37t3ce++9HDlyhKamJiYnJ3nxxRd5/vnneeaZZ/ibv/mbqhHPzMwM//7f/3s7Mn7/+99v+8DlQzQa5T//5/9sNzb/9E//NOPj4/btPT09PPzww3R1deH1etm9ezef//znS97bqoh4qoV06xtgxc4aSo1MLAl3Y2Mjhw8fzlsEtgii2iMXrMZUWDqe2kpllQor4rH+WTWVckhncXGRM2fO0NzcXNX+pUKwLHjq6x14PFrB5tVi5NpJe62KxQoASugqug43ZrYhmnO/l6WIcbxeLx3184yoKuPhHRzfvov5+Rk7GrLkwS0tLSU5OivRERAmpupBdZX3Pcq5bgkebemwesRWS/+L9V3KFhcoikJdXR11dXX2KPDZ2VmefPJJPvnJT/7/2zvz8KbKvP3fSdPSfV+hOxQKlO6lFP25wcu+lMFRGRdERkdHGBXGGZ1xm3FFX0fHFZ3xFR1lVKDAuKKyyFYR2qZ0Ly1d6JqkbdIkzX7O74/Oc0y6ZjlJTuB8rstrrgnJyclpcr7P813uGz09PUhMTERYWBiWLl2KrKwsuz7Trbfeiu7ubnz33XcwGAzYtGkT7rnnHuzevXvc1zz00EP48ssvsWfPHoSEhGDLli34xS9+gVOnTgEAysrKEB0djY8++ggJCQk4ffo07rnnHnh5eWHLli1WnxsnAg8bX5Senh5UVVUhKSkJaWlp+P77751m2GbLjoe0J1vjrmpem2CzJZQEibHsqR055ngyN7YglUpRVVWFlJQUh1rcbWXKFMDff/g/YOLhVfPvkXmgNQ9ErO14aAqG4Hyc/v4ifiifhYKrxnmajYsTH/3wDE+XIhVBQRGIjo5gakNEU460B5vXhibqlBMOXQJAQyeKhR+bCyVmx+P84VFnYt7RORFeXl6IjIzEhg0bsGHDBqxfvx4hISE4ffo0nnnmGeTk5OD48eM2vXddXR2++eYbnD17Fvn5+QCA119/HStWrMD//u//junlpVAo8N5772H37t244YYbAADvv/8+Zs+ejR9//BELFizAXXfdZfGa1NRUlJaWoqSkxPMCjyOYS9+Ya4k5S9YGGP4i6c11/8c5r8bGRnR0dFjVnkyOS17LZuARCoXQ6XQoLS0dZU9tL0Qo1d70Bk3TaG9vZ0ztyN/NVezaNf7fb7zakFKphFwuR0hICIxGo8VuiLUdj0CIZt+H8dQhXwh9BYiLGzsVZmvg8dYNB55ORTL0+p+7+fz8/BAfH4/4+HiYTCamNtTU1AStVjvhbkh8ugtRAz7oolKRa/8nHoUz5XJcCWMLbuNvWavV4qabbsKvf/1r6PV6u0YsSktLERoaygQdAFi8eDGEQiHOnDmDdevWjXpNWVkZDAYDFi9ezDyWnp6OxMRElJaWYsGCBWO+l0KhsDlz4tGBR6fTobKyEnq9flQbsDMDz2Q7HiLJQ3YW1qb8nGW5oNFoIJPJkJKSMsqe2h7ITa+jowMURSEqKopJb1oDSfdJpVLk5eXZZGrnDoRCIeRyOWM3Pm3aNGbXQ75jKhUFmhbCz8/xv11yMo2//lWPP/1pCgYHx7+RWv13NGkg1PUAEKJTkQK9XgBgdIAcqeg8NDTEtAdfvHgRPj4+FrshwdAl6HQCdKoT2Qs8RuXPenK+3JnhsQfixWPP0DS5l/n4+GD6dNttz3t6ehAdHW3xmEgkQnh4OHp6esZ9jY+PzyhR4piYmHFfc/r0aXz66af48ssvbTo/TgQee26EcrkcYrEYoaGhyM3NHbWCd/aOZ7xjK5VKlJeXIygoyOadBbkObAUeYq3Q2dmJoKAgzJw5k5VjGo1GzJo1CxKJBD09PWhoaEBgYCAiIyMRGRmJkJCQcf+mBoMB58+fZ5oI2Jircjbd3d2ora1lZooI5vUgrVYImgZ8fIzQ6012S/kQNBpAJAL8/ceflbKW4ZQYoDaEQqULhV6vsep1ZFgyISHBYjd04cIFaLVaxOlqARroVU1jrS7JtFL7hNlsKmeP6Zozsfd8JmoueOSRR7Bjx44JX19XV2fze9pDdXU11q5diyeffBJLliyx6bWcCDy2QNM0Ojo6JpW+cceOh9SZUlJSMH36dJt/iKQwykbgoSgKNTU1kMlkSE5OnrSbZTLMaxs0TcPf3x8pKSlISUmBwWCATCaDTCZjhnUjIyMRFRVlISMyNDQEsVgMPz8/FBQUcN5vhDjStrS0ICsrC5GRkRb/bp6S02q9IBQCQUFe8PLCqNqQre3aQ0OkZjR+4LG6CWCoBQDQq0oGYOkOay1j7YaGZC9DpaVxqS8CpaWlFrshe1PFTCu1HQOpXNzx2HodiG33eO6j27dvx5133jnhMVJTUxEbGwuJRGLxuNFoRH9//7hK/LGxsdDr9ZDL5Ra7nt7e3lGvqa2txaJFi3DPPffgsccem/yDjYDbv/wRmEwm1NbWQiqVTip948odD03TuHDhAtrb25GVlTVqi2sLbMjxEHtqiqJQVFQEqVSKwcFBu483UolgZPrA29sbcXFxiIuLY9SWZTIZmpubUVVVhbCwMAQEBKC7uxtTp07FzJkzOdN5NB7m6cCCgoJJbYiJ6GhwsAg+Pl4TDq9asxtSDw/uT9isYO01FA61QacHOhQpoGnAYBg71WYL/j4mePkooYYAKszCzJlCRkhTr9db1Ib8/Pxs65SD7Wk24PIIPMBwUB+v8Yfoxk1GUVER5HI5ysrKkJeXBwA4cuQIKIpCYWHhmK/Jy8uDt7c3Dh8+jPXr1wMAGhoa0N7ejqKiIuZ5NTU1uOGGG7Bx40Y8++yztn48ABwJPNZ8Kc2lbxYuXDhpTcHZOx5ybJI6skVuZiIcneUxt6eeN28evLy87PbjAWxXIjBXWyZdU83NzYzro0w2bBpGvGe4dKMgEBt0jUZjdTowM5OCUilAUJDldRpreNWa3ZBKxd6OhwrOwInWYnz14wIMDtq34xmJUNMBgQAY0ERAow9CZKQfIiMjR3XKNTc3w8fHB5GRkVbZCggvox2PvU1CE+14rGX27NlYtmwZ7r77buzcuRMGgwFbtmzBLbfcwnS0dXZ2YtGiRfjwww8xf/58hISEYPPmzdi2bRujNbd161YUFRUxjQXV1dW44YYbsHTpUmzbto2p/Xh5eVkVEAmcCDyTYY/0jStSbSqVCuXl5QgICLBJbmYiHAk8I+2pHZXicXQ+h6ZpdHV1QSqVIicnB6Ghoejv74dMJkN1dTVMJhMiIiIQFRWFyMjICS3HXQXZLYpEIhQUFFj9N92xY2In04natcfaTarVw+871o7H1kWEKWIhjsuuw8kmb2RkUPDyYmHWaKgdAgHQrYiH0fjz98JcSJPUhgYGBtDX1zfmbmjkyr5R3A0/rQCdynjk2iiGwLXAY0+Nx2AwQKfTsSKZ8/HHH2PLli1YtGgRhEIh1q9fj9dee83ivRoaGjBEWjIBvPLKK8xzdTodli5dirfeeov5971790IqleKjjz7CRx99xDyelJSE1tZWq8+N04HH3HZ5zpw5FoXdyXB2qk2n0+HHH39EYmIiK51i5se2NUiMZ09NsEf9mw35m5qaGigUChQUFDA/pOjoaERHR4OmaSiVSshkMly6dImxgyYNCkFBQS5Px5EB5LCwMKcOso63GzJvVlCpKFAUDT8/06gbKvlb2nJ9HnlEj+PHvaBSCewyvxv1Gf674+lSJMJkGv88yIxKZGQkaJpmOuVkMhmampoYk7WIiAiEhoZiiqkDer0APUrblRDYHkNwFHstEQA4vOMBgPDw8AmHRZOTk0fdF3x9ffHmm2/izTffHPM1Tz31FJ566imHz42zgcdoNOL8+fNQKpUoLCxEcPDY9r/j4azAQ9M0enp6oNfrkZ2dbZNltjXYGngmsqe295jmq3B75W8qKysBAIWFhWPuZAQCAYKDgxEcHIzU1FRG2VcqlaK1tRUikYi5YUVERDj9hjIwMACxWIyEhAS7GkMcYazdkEYz/P99fU1MbYg8z57AQ9M/NyywcE+DQHPpv4EnAUajdQFaIBAgICAAAQEBSExMhNFoZDrlGhoaYNIpMYfuhYEWQaq2Pm1D4OKOxx5LBMB5qitcgROBZ+QPiKSw/P39UVRUZFcKxhmBh+T+5XI5RCIR60EHsC1ITGZPTbC2U44NDx2yawgNDcWcOXOs/uGZK/tSFIWBgQHIZDLG9TEsLIxJybHdgt3T04OamhrMmjXLKdp+tkBunFqtCEKhAKGh3hCJfu4mJDpyACwWB5Oh0QwHHwAIDGRByFTzc6rN5GtfkDZfXNA0DZ2sCtpeARSaENR196G0tNZiNzTZd+lyCDxqtRp+fn6c2rk5A04EHuDndFB3dzeqq6uRnJyMGTNm2L3y9PLygm4ihUUbUavVqKiowJQpU5CdnY1z586xdmxzrNWBs8ae2vyYk6XaHLUzAIZrcVVVVUhMTLSoMdmKUChkbjizZs2CWq2GTCaDRCJBQ0MD/P39mSAUEhJi982GzDldvHhxzHZpd0K634OCBEydiQiZNjQ0MMF35G5ofKn94b+FSDSsou0QNA3BUAc0GgHa+5IQGOP4zV4gECBAMACjSATZUBJSUtIwY0YQ+vr6UF9fD4PBwKg5k065kXAt8NiT+lOpVJPaaV8OcCbwUBSFhoYGdHR0ONySDLC745FKpaisrER8fDxmzpwJrVbL3KSdYekw2e7EWntqa4/paBMBMKx23djYiDlz5iAuLs7m108ESc8kJSXBYDCgv7+f+ZvQNM2smiMjI61uBiDfN4lEgvz8fJtTuc7muutMmDlTgNjYnxcMFEWhqqoKRqMR+fn58Pb2Zv5uk7VrK5XDxwgMpOHwV5Y2YjBmE/69rxfl9SkoCmehTQ4/z/D0KONBhQotLKfVajXzd79w4QL8/PwsvG1Iww+XAo89zQVXgiUCwJHAQ1EUzp49C71eb5PEzESwMQ9D0zRaWloYPTHShkhWMa4OPLbaUxMmcwt1pImApmk0NDSgp6cHeXl5o+Q22IbIy8fExICmaWZmqK2tjXHhJMOr460cTSYTzp8/b1O7tKu5807LRRPptvPx8bFQOLe2XXtwcPj5bKTZIPRGp/evcKhjCnymUAgJMYGNW4lQ0wmBAJAo4+Fl9vFHqjkbjUamU858N2QymRwSvmUbk8lktesogQQefsfjAoRCIZKSkhAREcHaNLuXl5dDXiNGoxHV1dWQy+VMj7v5sQHnSHSMF3jssaee7JiONhGYz7sUFha6/AYuEAgQGhqK0NBQzJgxA1qtFjKZDFKplNEWIyk5Mj+i0+kgFovh5eVlU7u0OyEusaRuNtZ3biLn1eGh3uEuuYCA4aBkr5QPITmZxn33GdDSYoJQyM5NUvDfwNOjjEeMcfxjikSiUbuhvr4+XLp0CXK5HHK53KI25K5dkL01Hn7H40LI1DtbOJJqGxoaYmY5xiram//A2WasIGGvPfV4x2SjiUCj0UAsFmPKlCmcuYH7+vpaKC2TmaG6ujro9XqEhIRApVIhNDQUmZmZnErLjMfg4CAqKioQGxtrteLDWO3aWq0AAsGw9hv5uxOJJnudV5XK4XNhZRcFQKgdbtHuVSYgwso1o/luSKVSwc/PD0FBw7Whurq6UU6frlwc2VvjudxtrwEOBR62sTfw9PX1QSwWIy4uDunp6eOuLoktANuMDBKO2FMTzFNtI5sI7DHOUigUEIvFiI6OtvucnA2ZpCar4q6uLtTX18Pb2xsymQw//fQTk5ILDg7mZGqjv78flZWVjFeRvQiFQmi1Xv+1YxbCx8dnwuFVa3dDw3UjmlFrcAiTDgLdsKpFrzIeM+1IVlAUNe5uqLe3F42NjUxtyBW7IXsyIhPJ5VxO8IHnv5AOpwsXLmD27NmTttU6Km1jzXEvXbqE+vp6pKenIyHBfmthckxHU2vAsDoCMbZLTEzk5A17JKQbbubMmUhISIBer2dmhsrLyyEUCi1mhrggXkpavGfPnj2maZetkC654ODh38ZEw6uAdXpyg4NkLsjx34FA2wWaBgaHAqEYCoHRaPuibmRzgfluKCkpiRHJ7OvrQ21tLUwmk0WnnC3WHtZgb6qN3/G4ELZvYLYEHjJl39fXh4KCAqsK5M4aUCXHra2tddiemkCurXnrrT1NBESped68eTbpMrkL83Zp83P28fEZJWoqlUotRE1JIHJHvv3SpUu4cOECMjMzWbvOGRk0brvNhPR0yyBhrfPqWO3aSqUANM1Sqk0UiGbhZnx4RICODtus5QmTdbWJRCIL5QyVSmWxG/L397folHN0N8QHnvHhTOBhG2sDAxnCFAgEKCoqsnrV46wdD03TkEgkTH2JjW03CTJNTU2Ijo62ufOMoijU1taiv7/fKqVmLkC67Xp7eyc0mzMXNZ05cyaGhoYYiwfStktScs5OzdA0jebmZnR0dCA3N5fVDsG8PAp5eRN/X81rQ+S7bb4bGtmuTQTP2ehEp6dEoU20Cd80+yAkBAgJsT2Y2dJOLRAIEBQUhKCgICQnJ8NgMDCdcmzthvjAMz6XdeAhP5jxVvcDAwOoqKhAdHS0zdpcztjxqFQqdHd3w8vLixV7atJEIBQKkZmZycy+AGBuppOlloibKpFTt7U91B0QGaGhoSGb26X9/f2RmJjItO2SBoWqqipQFIWIiAhmN8SmqCmxYejr60N+fr7bbz7kt2C+GzL/b9gYjgZAIyBgtJ6cPRQVmXDLLUbs3u0Newb3HdFq8/b2HnM31NPTY7EbioiIsHpo2Z7zUavVDmc4PAHOBB5npNqA4ZvQWDfW9vZ2NDQ0YNasWUhISLD5/dne8ZCgEBQUBF9fX1aCjnnhODo6mpl9kcvlFn454eHhTCAyv0kTtYagoCBkZGR4hIyHXq9HRUUFhEKhw912I1MzSqUSUql0lKhpVFQUAgMD7f4OmwfKgoIC1msNbDAyJUdRFHp71aBpESIivG3yGpqIwcHh7jt7dlFsDZCOtxuSyWSoqamByWRCeHg4E4jGW4zZO0Dq7kWHK+BM4GEbcuMeGXhI2kgikThUP2Frx2Pe1DB37lzodDooFAqHj0lSJCNvAAKBwMIvZ2hoCFKpFBKJBI2NjQgICEBUVBSmTJmCCxcuICEhwSHpIldCAmVwcDDmzp3LaqA0FzWdPn06dDodk5IzFzUlrqvWvrfBYIBYLAZN05xpS7eGhoYGDAwkIyDAHzExeohERqu9hiaCNCw4O9VmC+Pthrq7u9HQ0ICAgAAmEJHdEPkN2rPj8YRUtqNctoGHtIWa/wi0Wi3EYjHjzOlIT7+1mmoTYW5PTZoa2traHNpJ2apE4O/vj6SkJEaOpq+vD21tbRgcHIRIJIJer4dUKnWJQrQjyOVyiMViTJs2zSWBcsqUKZg2bRqmTZtmIWra0NBgtaipVqtFRUUFfH19kZmZyenrSyCyPWq1Gl5ewzWvkBChhZ7cZF5DE+2GyJorOJg7gcecsXZDpFPOfDcUFhYGADb/Tfl2ahfD9o2CfLlJcCCimhEREayshh2V5BlpT03SK44ENEflb0QiEQYHB6HRaJCbmwuBQMBoY41MyXEpHURavNPS0hxqO7cXc1FT0qAglUrR29vLrIjJdQsJCfmv0Zsa5eXlCA8Pt9rc0N2YTCZUVlbCYDAgLy8fd9xBQamkERb2c5CwxmsIGD8lR3Y8XA08Ixkp4aRUKpnaEABUVFQwbfrBwcGTnp9KpeJ3PJ6OSCSCyWRCR0cH6urqrBbVtAZHAsRY9tTmx7XHCM5RoU9SZ1Cr1SgoKGDaiMPDwxmFaKlUip6eHjQ0NCAwMJAZ1HOHaRuhra0Nzc3NyMjIcFhYlg3MPWfIipgYn4nFYgBAcHAw5HI5MxTsCWlMg8HA1M6IVtzGjZN//21t15bLh/8/l1Jt1mKejo2Li8Pp06eRlJSE/v5+VFVVgaZpi065sWpDvGTOZYBQKMTFixcxMDCA3NxcREREsHZse3c849lTE2wNPCObCOwJOiQFKRKJMH/+/DHrDOY3U/MBzPb2dsZl0tb6hiMQwVQy6zReu7S78fb2RmxsLGJjY0HTNNrb23HhwgX4+Pigo6MDSqWSSclxVRxSr9czkk2OpAQn2w0ZDEYoFABF0QgKMoGibLPncHfgMYc0Fpj/7cluqKuri9kJkyBE1DPYqPH09/dj69at+PzzzyEUDttY//3vf5+waUGr1WL79u345JNPLCyvR7oZA8PqLllZWejs7MTAwIBdbf+cCTxs/+D0ej30ej2USiVr8zDm2Lrjmcye2vy41gYeNjx0BgcHIRaLERERYXXKZ+QA5sDAAKRSKVPfIC3HpEmBbUwmE6qrq6FSqTB//nyPyYn39PSgqakJc+fORVxcHDQaDdOg0NzcjClTpjCt2kTU1N1otVqUlZUxnY1s3thH7oYGBylQ1PB9ICDACKLxa02DAgleXAk8I1upzXdDKSkp0Ov1TG2oqqoK//rXvyCRSBAUFMS4kNrLrbfeiu7ubnz33XcwGAzYtGkT7rnnngltsB966CF8+eWX2LNnD0JCQrBlyxb84he/wKlTp0Y9d/PmzcjMzERnZ6fd58iZwMMmJJUlFAoxffp0p9yYbFVGmMyemmBt4DEPOvborQHDUjLV1dVITU21OwVpXt8g2lhSqZTRRgsKCmJSco60HBP0ej2TsiooKGB1lsaZkJRgdnY2s/P28/NDQkICEhISRomaGgwGpqYWGRnplpoaqUORRYkzd2NCoRBDQ8N6clOmAEFBPlZ7DQGw2PFzgck62nx8fCx2Q97e3igpKUFZWRlWrlyJ7OxsLF++HL/61a8wZ84cq9+3rq4O33zzDc6ePYv8/HwAwOuvv44VK1bgf//3f8eUX1IoFHjvvfewe/du3HDDDQCA999/H7Nnz8aPP/6IBQsWMM99++23IZfL8cQTT+Drr7+2+rxGctkFHmKSNn36dMhkMqe9j1AotMp2wVp7avPjThZ4HA065lIybNZGzLWxyKqO2BS0trbC29vbIiVnj4BieXm5R80V0TSNpqYmdHZ2TpgSHClqqlKpIJPJmABOamqRkZEuETVVKpUoLy9HXFwc0tLSXJICJB1tISGj9eRGDq8SyE6Ii4HHFhWFBQsWICcnBzt37sT58+dx/vx5fP311zh//rxNgae0tBShoaFM0AGAxYsXQygU4syZM1i3bt2o15SVlcFgMGDx4sXMY+np6UhMTERpaSkTeGpra/HXv/4VZ86cwcWLF60+p7HgTOBx9ItNJFI6OjoYkzS5XO4UPTXAOmttW+ypCRMFHjaaCMiEvFQqdXptxMfHB1OnTsXUqVNBUdSoFX1ERARzM51s56JQKFBRUYG4uDir7QHcDZkZGxgYsGjYmAzzll0SwM1ras4WNSXf2+TkZCQnJ7vsWoeGAhs2mDByczeR1xDZDZHfIvl9uDsA2TvDAwBJSUmYN28ebr31Vpvft6enZ9RCUiQSITw8nOm0G+s1Pj4+o2o1MTExzGt0Oh02bNiAl156CYmJiZdP4HEEIuui1WotHEydJeRJjj3RzsRWe2rCeIGHjSYCg8GA8+fPw2AwoLCw0KXpG/Ob5axZs6BSqUapAJAV/8giO0kJzpgxA4mJiS47Z0cgLqdarRbz5893qNY1sqY2UnnCfGbI0bRyX18fKisr3XKt4+Jo3H//xFmEsRoUDAYDWltbERgYOOo3Yq/XkKPYE3hU/5UQH+tv+Mgjj2DHjh0Tvr6urs6m97OFRx99FLNnz8Ztt93GyvE4FXgmsmgeD5ISCAoKQlFRkcXqz5mBZ7zmAnvtqQljBTQ2mgiIuZ2/vz/y8/PdKv1vvqJPTU1lVACIcygpskdFRUGlUnGqXdoaSB1KKBQiPz+fVTUCoVCI8PBwhIeHW4iaSqVSxm+GBCFbRU0lEgmqqqpYs2JwFXV1ddBoNMjJyYG3tzcrXkOOYq9OW0BAwJjnt337dtx5550Tvj41NRWxsbGQSCQWjxPNwdjY2DFfFxsbC71eD7lcbrHr6e3tZV5z5MgRVFVVYe/evQDA3IsiIyPx5z//GX/5y1+s/ZgAOBZ4bKWnpwdVVVVISUnB9OnTR+0AXL3jccSemjByx+PoUCgwLIZaWVnJ2TSVuQoAKbIT7TqiEmw0GqHX6znfTEBqegEBAS6pQ40laiqVSm0WNe3q6kJdXR3mzZvnMQGe7Cr1er1FgGfDa4iNc7P12CqVatyWepINmIyioiLI5XKUlZUhLy8PwHDQICK/Y5GXlwdvb28cPnwY69evBzAsidTe3o6ioiIAwL59+6DRaJjXnD17FnfddRdOnDiB6dOn2/Q5AQ8NPDRN48KFC2hra5uwNdnLywsGg8Ep5zByx+OoPbX5cUnuGoDDQYfcUGbNmjWpuR0X8PLyQnh4OLq6uuDt7Y2MjAwolUq0t7ejtrYWISEhzI/Q39+fU0FUpVKhvLwckZGRTu8CG4uRoqaDg4OQyWTMtSPpzMjISIsOQ+L/Y95xx3VMJhPEYjFMJhNyc3PH/L054jXExvm5Qy5n9uzZWLZsGe6++27s3LkTBoMBW7ZswS233MLsYjs7O7Fo0SJ8+OGHmD9/PkJCQrB582Zs27YN4eHhCA4OxtatW1FUVMQ0FowMLqRxa/bs2Z49xwNYl2ojdQq1Wo2ioqIJdxVeXl7QarVsnyZzbLKCYsOemkBeazQaIRAI7A46xNuFpPw85YZC6nU0TaOwsBA+Pj6Ijo7G9OnTodVqmbQSmXshQcjZXjmTQQryiYmJYw4Gu5phm+sQhISEWIiaSqVStLS0MKKmFEVBIpGw7v/jTIxGIyOsmpuba1XaeLLhVbbUtQn21njYGCL++OOPsWXLFixatIgZIH3ttdeYfzcYDGhoaLCYF3rllVeY55oPkDoLAW1rUcWJGAyGCQv2KpUKFRUV8PPzQ1ZW1qS7itbWVgwMDCAnJ4ftU4VUKkV9fT2Sk5NZsacmGAwGHD58GP/v//0/+Pj42NUuTRxVBwcHkZ2d7TEy66QOFRgYOGmaymQyMZ1eMpkMFEUxKaXIyEiXqjyT1Ja7tOJshXQYNjU1QalUQiAQWKTkHBHPdTZGoxEVFRUQCATIyclhJZU5sl3b/JZo726osbERQqEQM2bMsPo1n332Gf7xj3/gxx9/tOm9PBFO7XgmQiKR4Pz580hISLC6TuHs5gKtVovGxkZW7KmBnwt2/v7+OH36NCIiIhAdHW3TjVSn0zGF7fnz53O+JkKwtV3ay8trVFqJzAvV1NQgNDTUQorGWXR2dqK+vh4ZGRnjpny5hkAggEQigcFgYHL4MplsQlFTLkD04kQiEbKyslirn42VkrNleHUsxvMBm4grRacN4FjgGesLbi41k5GRgbi4OKuP56zAYzAY0NjYCIqicNVVV7GijEC+7DRNo6ioiGk3bmtrs7iRRkdHj7siVSqVEIvFCAsLs9lR1Z2Qdunp06cjKSnJ5tebp5VmzJjBSNEQZW1/f3+LGykb14WmabS2tqK1tRU5OTke4xpJrDgGBweRn5/PfJcCAwPHFTU1nxlyl1+QwWBAWVmZw3pxkzFeSs5WryF753j4wMMBjEYjqqqqMDg4iMLCQgTbaEvoLHvq8vJy+Pr6QigUshZ0RjYRmJuOaTQaSKVS5kZKzNqioqKYKXaS7klOTkZKSgpnVqmTQQrbc+fOZW3HYC5FYzQamZScrbbf40Fa5nt6epCfn+8xMvbms0X5+fljzhaNFDVVKBRMXai6uhqhoaHM9XNVc4der0dZWRn8/f0xb948ly6oJhpeNW/XHrkbsjfweEpa3FE4G3hIl5iPjw+KiorsShmxHXjIzSsxMRFTp04dU0DPVsxzy+M1Efj5+TEts2RFKpFIGCkeX19fKJVKj5q/MJeScWZhWyQSWfilkBvpyOHLkbbf40F2DAqFAgUFBR4jUEoK8hRFWT1bJBAIEBoaitDQUKSlpY0rahoVFYWwsDCnBASdToeysjKm7ufOXby1uyGBQMA0B9mCSqXiA487kclkqKysdLhLzFn21FOnToVWq2Xanu1Z9ZHXkvOztnPNfEVqNBpRXV2Nvr4+iEQiRgrH1rqQqzFvfrBFSsZRRt5IRw5fTlbbIHNaBoMBBQUFTlHedgZ6vZ6pjeTl5dmdphpL1FQqlaKmpgZGo9GiQYGNa0OUsUNCQjiZOh5vN6RWq6FWqxkHX2uHV4eGhvhUm7toaWlBU1MT5syZg2nTpjl0LDYCz1j21MDPqx97iogjlQjs6VwzGAyoqqqCVqvFwoULmV2PrXUhV2MwGJhWWHc3P5gPX5rXNkjXFGlOiIiIAEVRzM3b3coPtmA+0MpmmmosUVOpVIrOzk7U1dUhKCiICUL2iJpqNBqUlZUx9Uqup47JddXpdKiqqsLUqVMRGRlpoa8ITNygoFarPaZBxVE49etpaWlBW1sbM9TkKI4GnvHsqcmxAUzY/j0Wjop8AsM/yoqKCvj6+mL+/PnMTXBkXUgmk0EikYxbF3I15LxJrp5L6tLmO0mKopiUXFNTE6qqqhhn0dmzZ3tM0CE379DQUKfuGEZKIBFVcjK8SnT6iCr5ZNdPo9Hg3LlziIyMRHp6OueDDmFoaAhlZWWIiYmx6My0dniVby5wEwkJCYiJiWEthUGGPO1Jh01kTw1Y7nishQ35G7lcjsrKSubLPd7NxDwtQlbzUqmUqQtFRkYiOjraLnsCexgcHERFRQViYmI4b/csFAoRFhaGsLAwxMXFoaysjLkhnD59mhNBfDJIE0x0dLTLr/dIVXK5XM40xmg0GgufoZE1MrVajbKyMrectyOQIB8dHT1qHMC8NkQWqmMNr3Z1dXFqMeZMOBV4yMAkW5A/oq3psMnsqYGft8zWBh5rmggmo6enB7W1tTYrB49czRPH0JH2BFFRUU6pC5GOO0cM59xBf38/KisrLewBDAYDUxciZoPmKTku3DjIoik+Pn5MDUNXYi5qOmvWLKjVaou6Gml1j4yMhEgkYma5XOUBxAZkhxYVFTXpDBoJQua1IYqicOLECVRUVDBGbJc7nAo8bENuAkaj0arAY609tfnxrTFts6eJYKzzam9vx7x582xWvDbH3DGU2BNIJBJGz4vUhUi7rKN0dHSgsbGR1XZpV9Db24uamhrMmjXLotbo7e09yqKA3ER1Oh3Cw8OZQOQO19CBgQGIxWKkpKQgOTnZ5e8/GQEBAQgICEBSUhLT6i6TyRi7joCAAAQGBsJgMHjE8DNpgCB2H7b+tolB24YNG/Daa6/h3nvvddKZcovLOvCQm7w1dRhb7KnNjz/RjoeNJgKTyYTa2lrI5XLWZ0bMc/NEC00qlbJSFzJvl87JyUFYWBhr5+1sSLCczIphpEUBWc13d3dbuIZGRUUhKCjI6St4srOcOXOmRwjCklZ3f39/SCQSTJs2DVOmTJlU1JQraLVanDt3DuHh4XbXos6ePYv169fjmWeewb333su5z+gsOBV4nHHRrWkwsNWe2vzYE7mFkjyuvYKD5oKZjpqJWYOvr++4dSGSUoqOjkZYWNiEKaWRsy6eUjA131naGizNbb+Tk5MtbL/b2togEomYm2h4eDjrKbmenh7U1NRg7ty54/qucBGFQoHy8nJm8BmAhSCsTCbDxYsX4ePjw6TknHH9bIXsdMLDw+1WIq+oqEBxcTEee+wxbN269YoJOgDHAo8z8PLyYop3Y2GPPTVhIjM4R5sIVCoVxGIxgoODMXfuXJf/0OytCxkMBsZHx5NmXWiaZuagCgoKHB7kG1lgJ9evvr4eer3ewvbb0WtEdmiZmZkOpWFdDfntkdqfOb6+voiPj0d8fDxMJhMGBgYgk8mY6+fOlCYZag0NDbU76FRVVWHNmjX4/e9/j+3bt19RQQfgmDo1TdPQ6/WsHvP48eOYM2cOIiMjR/2bvfbUhNLSUqSkpFisMNkIOn19fYwgqruLwyMhMxsSiQRSqRQqlYqpCwUHB6Ourg5+fn5O1dNiG5PJhOrqaqhUKuTm5jp15olcP7IbGhwcRFBQEBPEbU0ptba2oqWlBdnZ2R6VzhwYGEBFRYXNit40TVs0KCgUCiYlHBkZ6XRRUxJ0yILQnveqra3FihUrcN999+Gpp57i1O/bVXAq8ADDf1g2OXXqFNLS0ixy9eb21FlZWXavEs+cOYP4+HhMmzZtVBOBPfUcYFi7rLGx0WPkb0hdqLu7GwqFAiKRCPHx8YiOjuZsq7E5ZIdGURSys7NdXtA298np6+uDj4+PRUpuvB048Vvq6OhATk4OK3NvrqK/vx9isZiVWhTpMiT/CQQCp4ma6vV6nDt3zqGg09jYiOXLl2Pjxo14/vnnOf/7cBZXXKqNDXtq82OPlFEH7As6JBh2d3cjNzfXY1avvr6+8PPzg0qlQmpqKvz9/SGTySzqQmRwkGs7IDIg7OPjw5q3i62MtP0mKbna2lpGhoYEIhIUaZpGQ0MDJBIJ8vPzPUrfi3Swpaens7KwGtllqFAoIJPJWBc1JUEnKCjI7qDT3NyMVatWYcOGDXjuueeu2KADcHDHo9frJ3UhtYWzZ88iNjYWCQkJFvbU2dnZDq+GKioqEBoaioSEBIeaCIgKt0ajQXZ2tscITwLD9YWGhgbMmTPHwrLCvK4hlUot6kLmN1F3Qb4Lzp7qtxeaphkJJJlMBqVSieDgYERGRkKhUEClUlnYGngCUqkU58+fH/VdcRbm9hgDAwOMY21kZKRNoqZEHTsgIMBuodLW1lYsX74cq1evxmuvvca575uruewDT3l5OeMjzpY9NaGyshL+/v5ISkqyu56j1WqZVXdmZiZnhT1HMtJae6Id2kR1IbbmhWyBDFhOnTrVYwYVSUrz4sWL0Ov18PX1ZcRgnaUMzSYSiQRVVVVuM8wjjrUkJWetqCkblgydnZ1YsmQJlixZgrfffpvzfytXcNkHHtJh1dfXx5o9NTB8M71w4QJaW1sRHh6O6OhoREVF2bSSVygUEIvFiIqKQnp6usd8ISmKQm1tLWMrbmuqh9xEpVIp+vv74e/vz1w/Z9eF+vr6UFlZidTUVE4OWI6HyWSCWCyG0WhEZmYmI8oplUpBUZTFbpJrixfS6j1v3rwJ56JcBdlNkiBEGjxISo7MXBHzOT8/P7uDTnd3N5YtW4arr74a//znPzmXbnYXnAs8BoPBZuHN8aAoCqdPn8bQ0BDy8/NZs6c2r+kQkzaJRAKlUmm1IjSZjPc0GRmDwcBMmefk5DjcCmw+LySTyZxaFyI3QE9p3CAQy2ehUIjs7GwLFQ5z22+ZTAaVSoWQkBDmGrp7hqq7uxt1dXXIzMwcs7OUC5jPXPX19cHLywsREREYGBhAYGAgsrKy7Ao6vb29WLFiBXJzc/HBBx94jLisK7hsAw+R3x8cHERUVBQyMzMdPuZkTQTmk//kS0uCEGmTJZbJLS0tk07Gcw2SFvT19cW8efNY/yE5sy7U3t6OpqYmTt8Ax0Kv1zN1SWta1EfuJv38/JjrFxoa6tJddWdnJxoaGpCVlYWIiAiXva8jUBQFmUyGuro6GI1G0DTNiJpaaxYIDDdRrFixArNnz8bu3bs5twt1N5dl4CHKvIGBgfD394fRaERGRoZDxxwpfzPZD5i0eUokEos2WbVaDaVSiZycHJutvN2JUqlERUUFI1Xv7BvYWHWhkJAQJiVnbV3Ik9uONRoNysvLERQUZFdR22g0MmZtMpkMFEVZ2H4782ZILM2zs7NZyTS4CrK79Pb2RlZWloXr6sDAAPz9/S1mhsb6mwwMDGDVqlVISkrCZ5995vZGGi7CucBjNBod8tAxt6dOS0vDxYsXoVKpkJWVZfcxHR0KNZlMkEgkaGxshMFgYORTiC0B1/O+ZKDVXKXZ1dhTF6IoCnV1dejv70dubq7b0062oFarUV5ejoiICLun480htt8kpaRWqxEWFmbRaswW7e3taG5uRk5OjtMszZ2B0WhEeXk5RCIRsrKyRv0uDQaDRSCnadrC7C4gIAAKhQKrV69GTEwMSkpKPEa5w9VcNoFnLHtqYLiNkdx47MHcL8PeoVC1Wg2xWMy0YyqVSkgkEkgkEiadxFW76s7OTtTX17usBdYajEYjcwMdry5ERF+HhoaQm5vrFqVoe1EqlUzX3YwZM5wS6EltkrQak5X8eLbf1kLSyLm5uR61u5ws6IxkZG3tnnvugZ+fH4RCIQICAnD48GGPanV3NZdF4DG3px65yuro6EB3dzcKCgpsOubIJgJ726X7+/tx/vx5TJs2bdRNZKx0UlhYGLOSd+fN0lwwMysri7PpEmJNQK6hwWBAWFgYhoaGIBKJkJuby7lgPhFEv8yVu0tiT0BuogAsUnLW1vLI9yU3N9ej0shGo9GiecOeDERNTQ0efvhhXLhwAXK5HFFRUVi5ciUeeughzJgxwwln7dlwLvCYTKYJRT1HYm5PPdbKtqurC+3t7ViwYIHVx2RDiQD4ebeQnp5u4ekyHhqNhtkJKRQKBAUFITo6GtHR0S5NEznaLu0uaJpGX18fampqGIthe+pC7oK0etuqX8YmNE1DLpczO8qhoaFJi+tkkXLp0iXk5eWxat3hbEwmE6OyYW/Q0Wg0uPHGG2E0GvHVV1/B29sbx44dwxdffIEtW7YgPT3dCWfu2Xh04JnMnhoA4y1z1VVXWXVMW5sIxjtGU1MTOjo67N4t6PV6pkOuv7+fGRh0tgYakRQyGAzIzs72qBQVqYsQqXpyDc3rQqS2xjUdOTJgybVW76GhIeYayuXyUYKcANDU1ISuri7k5eV5zCIFGL7XVFRUAIDdkklarRa33HILBgcHcejQIY9KL7oTjw081thTA2BWwNdcc82kxyQ7HZPJZHdqjSgdk841NnYq5qkQqVQKLy8vC28ctjrMSLs0ad31pLkDhUKBioqKce2erakLuYuuri7U1dVxZsByPMaaufL29oZOp0NeXp5HpdfIQC7JlNjz99fpdLjtttvQ29uL7777zmP0FbkA5wIPRVEwGAzj/rut9tQkZ3799ddP+Dw27Ay0Wi3EYjG8vLyQlZXllDZK81kXiUQCk8mEyMhIREdH25SPHwlplyZdVJ6iogD8LDw5Y8YMJCYmTvr8sepC7tKRI23HnjTrAvzs2Nvf3w9vb2/o9XqEhYUxwZzLO2XzoJOTk2PXb8ZgMOCOO+5Aa2srjhw54lF/Oy7gUYHH3J7a2lyyUqnEmTNnsHjx4gnf09EmAnLjDg8Pd5nopHlnjUQigUajYQyyoqOjrb6BknbppKQkpKSkcCoFNRlkt2Cv8yZp8CDX0HzyPzo62ml1ITJI3Nra6nFtxzRNM23qeXl58PPzg1qtZnbkCoWCGZ4mrcZc+U6ZTCZUVlbCaDQiNzfXrqBjNBpx1113ob6+HkeOHOH0LpWreEzgMbenzs7Otro/fmhoCCdOnMDSpUtH/RtbHjrE6z4lJcVtcy4AmB+/RCLB4OCgVTdQcuPmWm3BGlpbW3Hx4kVWdwtjzQux0WZsDtH5IxYYnlSMp2masTXPy8sbc2ej1+uZlFxfXx9n0poURTH1S3uDjslkwm9+8xtUVFTg6NGjHmUzziU8IvA4Yk+t0+lw9OhRLFmyxOJ1bDURkGG5uXPnukV1dzx0Op1Fc0JAQADT3UVudC0tLWhra0NmZqZHpQrIjburq8uprbuktiaRSFirC5HdQl9fn8cNtZKxBaVSiby8PKsWf+apYZlMBp1Ox+zKo6KiXDZgSYKOXq+3u8XeZDJh69atOHXqFI4dO2ZVpyrP2HAu8Iy0v3bUntpoNOL777/HokWLmC8bG00EFEWhvr4eUqkU2dnZnO5mIfI95Mfv7e0NLy8v5kfoSUVh0uotl8tZa96w9n3lcjkTzPV6PdNibG1diKIopvFkvN0CV6EoymIg156AQWyryY7SUdtvW879/Pnz0Ol0dgcdiqLw0EMP4fDhwzh69CiSkpJYP88rCc4GHrbsqWmaxqFDh3DdddfB19eXlSYCotCs1+uRnZ3tURPKRHRSo9Ewn5388CMiIjgt30Py8+QG4i45EvO6kFQqhVKpnDStaTKZLG5+nqTfRW7cWq2W1XMfqQrt7e3NBPOwsDBWvoskYGo0GuTl5dkddP74xz/i888/x7Fjx5CamurweV3pcDLwDA0NMfbUubm5Ds8GfPvtt7jqqqvg5+fncBPB0NAQxGIx49HhSS3HpOuOCCB6eXlBoVAwQ6s6nY754UdFRXFq4l+v10MsFkMoFCIrK4tT5zZZXWhkFxWXzn0ySLAndRFnnTtFURY6aKTTkHwf7Ql2bAWdxx9/HJ999hmOHj2KmTNn2nwMntFwLvDodDqcPHmSNXtqADh8+DDy8vKYtIy9TQRyuRxisRhxcXGYOXMmZzp1rEGlUjFdd2O1S5M0CAlCRL6HrOLdmRbSaDSoqKhgtO64vCsbqy5E0zR8fX09bqdDAqbJZHJpwBxrRxkcHMykNa1JyZG0plqtRl5enl3XnaZpPP3009i1axeOHj2K2bNn2/uReEbAucBD5nSmTp3KSksyTdM4duwYkpOTMXXqVHh5edkVMLq7u1FbW4uZM2e6Tc7EXvr7+xnF7omGbc0xN7iTy+UIDAy0kO9xVdAlFhfEpdWTgv3Q0BDKysoYHyZ76kLuwmg0QiwWg6Zpu2dd2EKn01mk5IjFCEnJjbxPsBV0duzYgbfffhtHjhzBvHnz2Po4POBg4AHYs78m9Zy2tja0t7fDZDIxK3hr6xnmYpnz5s3zKBMx4OeA6Ui7NMnFE2+hKVOmMEGIrRbjsRgYGIBYLLYpYHKFoaEhlJeXIywsjLE1GK8uxAWnUHPYEM10FiaTySIlZzQaR9l+kwaO/Px8u4POK6+8gr/97W84fPgwcnJynPBJrmwu28AzsokAGNZ2k0gk6O3tZeoZpMV4rBWdyWRiZhY8SSwTGP78zmiXNplMFqkkgUBg4S3E1uCsRCJBdXU1Zs6cifj4eFaO6SrILi06OhqzZs0aM2C6Yl7IHgwGA8rLyy3qgFyFpmkolUrmOqpUKuZ3nJWVhdDQUJuvI03TeOONN/DCCy/g0KFDmD9/vjNO/Yrnsgw8kykRkHpGb28vJBIJ1Go144lDCpk6nQ6VlZUAgOzsbE6nRUZCWr2JTYSzBhTHkp4hwTwyMtLu9AxR9c7IyODUbJQ1EM24hIQEq3dpI7X43DVwaW6znZWV5VGySTRNMxI+QUFBkMvlmDJlCnMdrbH9pmka7777Lp566il8/fXXWLhwoYvO/sqDk4HHXvtre5UIhoaGmKI6mS0YGhpCWFjYuKrXXMVoNDJtuzk5OS5rCiCrTxKE1Go1wsPDmWBuTeuzuYwMlz2AxoPU0lJTU+2e8zCfF5JKpdDpdBZGgc5aAOn1epSVlcHf3x/z5s3zuKBDZrvIfBTZmZvbfo9MyY08xq5du/Doo4/iiy++sEpUmMd+LpvAw5aHDpGQIbsed3ni2APxJvL29kZmZqZb23ZJMCfaXcHBwUwQGus60jSNhoYG9Pb2epyMDPCzbNKsWbNYm2ifaF6IzbqQTqdDWVkZAgMDkZGR4XFBh+jG5efnj7nQMtc0JIui0NBQhIeHQ61WIyMjAx9//DG2b9+OgwcP4oYbbnDDJ7myuCwCj3k9RyAQ2P3DuXTpEhobGxmbZ3NPnL6+PkZ2Jjo62mlT1vZC2qXDwsJcJlJqLUS+h3Ql+fv7M0EoODgYNE2juroag4ODjOikJ9HT04Oamhq7hUqtxRl1Ia1Wi7KyMoSEhGDu3Lmc+k5PBk3TqK+vR19f37hBZyw0Gg1kMhl++ukn3HXXXYiJiYFcLsdTTz2FBx980KNm8zwVTgYeW+yv2VAiIKvtnp4eZGdnj6kUTPxcSFHdx8fHJZ1d1mBPu7S7GOmLQ9KYXl5eHicjAwxbqzc2NiIzM9OlHY9s1IU0Gg3KysqYxQqXvzcjMQ86jixWdu/ejZdffhnTpk1DZWUlKIrCihUr8N5777GW1nzzzTfx0ksvoaenB1lZWXj99dcnbFrYs2cPHn/8cbS2tiItLQ07duzAihUrxnzuvffei3feeQevvPIKHnzwQVbO1xV4dGhnI+gYjUZmurmwsHDcL7BIJEJsbCxiY2MtOrsqKirg5eXFBCFriphsQtqlrbXXdjfm11Gr1eLcuXOgKApGoxGlpaXMzTMyMpLztbXW1la0tLQgJyfH5SZgIpEIMTExiImJsagLNTQ0WFUXIjNGkZGRHjcfRRaKMpkM+fn5dgedL774Ag888AA++ugjrFu3DiaTCWfOnMGPP/7IWtD59NNPsW3bNuzcuROFhYV49dVXsXTpUjQ0NIxpp3D69Gls2LABzz//PFatWoXdu3ejuLgY5eXlyMjIsHju/v378eOPP3qcqjzgoTse0kRAURRomra7nqPRaCAWi+Hj42N3TYSo75LmBJqmLdqLnXXzJIX4lpYWl6+22YDMuZineBQKBZPa1Gq1TDHYXskUZ0HTNJqbm9HR0cE5kVVr6kJqtRplZWWIiYnxOAUOouEokUgcCjrffPMNbr/9dvzf//0fbr75ZpbP8mcKCwtRUFCAN954A8Dw/SIhIQFbt27FI488Mur5N998M9RqNb744gvmsQULFiA7Oxs7d+5kHuvs7ERhYSEOHTqElStX4sEHH+R3PI4y0Q+BrSYChUIBsVjMzFrYu0sRCoWIiIhAREQE0tPTGe2z+vp6pr04JibGIXfQkVAUhYaGBubHx6UbnzUolUqUl5cjJibGYs4lNDQUoaGhmDFjBqNi3NHRgbq6OoSGhjJ1IXfWgMhqm1x7rs12CQQCBAUFISgoCKmpqdBqtUyKuKmpCb6+vtDpdIiOjkZaWprHBZ0LFy6gt7fXoaBz5MgR3HHHHXjnnXdw0003sXyWP0M6BR999FHmMaFQiMWLF6O0tHTM15SWlmLbtm0Wjy1duhQHDhxg/j9FUbj99tvx8MMPY+7cuU45d2fDycAzHmx46ABAb28vampqMH36dCQmJrL24xMIBMzNMy0tjWkvbm5uRnV1tcWskL0dZ0TlWKPRYP78+R5XiCf1qOTk5HFN8wQCAQIDAxEYGIiUlBSmqC6RSNDY2Mi4W7q6ycPckqGgoMAjrr2vry/i4+MRHx8PuVyO8vJy+Pv7QyaT4cSJE8zclTsN2qyBpmk0NTWhp6cH+fn5djvDHj9+HBs2bMBrr72GW2+91anfHZlMBpPJNGoWLSYmBvX19WO+pqenZ8zn9/T0MP9/x44dEIlE+N3vfsf+SbsIjwk85kHH3l0OmeZvbW3FvHnz7LZasAaBQIDg4GAEBwczK3iJRIJLly6htrYWYWFhTF3IWnl/nU4HsVgMLy8vFBQUeJTKMTAc8Kurq22uR/n6+iIhIQEJCQmMt5BEIkFrayszJEjqa866kRClY7VajYKCArdZMtjL4OAgxGIxkpOTkZqaOm5diKupzaamJnR1dTkUdE6fPo2bbroJL730EjZt2uRRuz1CWVkZ/v73v6O8vNwjz5/AycAzltKAo0GHrFb7+/tRUFDg8jmRgIAApKSkICUlhRHg7OnpQUNDAzPjEhMTM+4qWq1Wo7y8HKGhoZg7dy6n2qWt4dKlS7hw4QIyMzMdCvje3t6Ii4tDXFwco9slkUgYlQln1NeISrPRaLRb/8udKBQKlJeXM9bswHC2IDw8HOHh4Zg5cyazMCKpTa7oyJF6Ggk69p7L2bNnceONN+LZZ5/Fb37zG5fctEmDTG9vr8Xjvb2947bdx8bGTvj8EydOQCKRIDExkfl3k8mE7du349VXX0Vrayu7H8JJcLK5gNhfmzcRONK5ptfrmVbJ7OxsTq1WR1pUj6UCTcQyExISMH36dI9a6ZiLrObk5IzZqs4GFEVZeAsRPxfS2WXv7tBgMFgIZnrajAexjSdpZWswrwu5W0eONHHk5eXZXU+rqKjAqlWr8Nhjj2Hbtm0uPf/CwkLMnz8fr7/+OoDh72liYiK2bNkybnPB0NAQPv/8c+axhQsXIjMzEzt37kRfXx+6u7stXrN06VLcfvvt2LRpE2bNmuXcD8QSnA08er2elSYCtVqNiooKBAUFcd7LxTyNJJPJ4Ovri4CAAMhkMsyaNcvj7BjIVLlMJmPF0M+W91WpVEwQUqvVTGozKirK6lkhnU6H8vJy+Pr6IjMzk9PfnbEYGBhARUUF0tLS7P7umM8LEVFYV9WFyILFkSaOqqoqrFixAr///e/xyCOPuHzR9umnn2Ljxo145513MH/+fLz66qv47LPPUF9fj5iYGNxxxx2YNm0ann/+eQDD6cBrr70WL7zwAlauXIlPPvkEzz333Jjt1ITk5GS+q40NyFwHwd60Eilkx8fHY8aMGZzfKZinkYxGI+rr69HT0wOBQIDW1lYMDQ05vZbBFiaTifFEcXUh3ryza/r06dBoNJBIJExq0xoZJI1Gg/LycgQHB3tkarOvrw+VlZUOS/hYMy/kjLpQS0uLw0GntrYWq1atYlqX3fGbufnmmyGVSvHEE08wA+rffPMN00DQ3t5u8d1auHAhdu/ejcceewx/+tOfkJaWhgMHDowbdDwVTu54Nm7ciObmZhQXF2PNmjWYNm2azV+ajo4ONDQ0eMxgpTnmumXEjoHUMiQSCQAwN042rQjYwmAwWKQ2uVQTMZdB6u/vh6+vL3Mtg4ODIRAImHqaJw5XAsPdVOfPn0d6errThguJwju5lmzqyBE7j7y8PLtrsQ0NDVi+fDk2bdqE5557zuP+hpc7nAw8HR0d2Lt3L0pKSnD69Gnk5+dj7dq1WLt2LZKSkiad87lw4QK6urqQmZnpcQrHJpMJVVVVGBoaQk5OzqidAk3TjBWBRCKB0Wi0sCJwdzrIk9JTI2VnvLy8EBoair6+PkybNs3j5lyAYbHS8+fPO103biSkLkR05Pz8/OyqCxF1ckeCTnNzM5YtW4ZbbrkFL730EucWZjwcDTwEmqbR3d2N/fv3o6SkBMePH0dmZiYThEamz8hNW61WIzs7m/Nq0iPR6/WMBE9WVtakBXGiukuCkFartQhCrm63JjsFLgqVTgZFUUznHWliIdeSzeFfZ0La1d3tYzReXSgqKmpC59+2tjZcvHgReXl5dg9Ft7a2Yvny5Vi9ejVee+01j/oOXklwOvCYQ9M0ZDIZE4SOHDmC9PR0Jgj5+vri3nvvxcMPP4zrrrvO42ZcSBNEcHCwXdL0JPVBgpBKpWL8cKKjo52e7iIGaFOnTvXInQKpiaSlpSE+Pp4J6FKpFBqNxsJbiEupQwJRyHa0XZ1txvMXGlkXam9vR3Nzs0NBp6OjA0uXLsWSJUvw9ttv80GHw3hM4DGHpmkMDAzgP//5D/bt24dDhw4xqZ3nnnsOubm5HvWlk8vlEIvFmDZtGmtNECPN7UJCQhATE+MUyRly054+fbrdBmjuRCKRoKqqirHDGAkJ6FKplLmWJAjZO8zIJl1dXaivr+e8Zt94dSFvb2/09/cjLy8PISEhdh27u7sby5Ytw//7f/8P//jHPzid4uXx0MBjzoEDB3D77bdj1apV0Gq1+PbbbxEXF4e1a9eiuLgYOTk5nA5CRL7HkZbXyTCXnBkYGGDV3I6stMe7aXMdctPOyMgYUy14JCM9cYhHU1RUFIKCgly+0+vs7ERDQwOysrIQERHh0vd2FK1Wy2ivAYCfnx9zLW2pC/X29mL58uXIz8/HBx98wAcdD8CjA09lZSWuvvpqfPjhh1i3bh2AYUO0r776Cvv27cPXX3+N8PBwrFmzBsXFxSgoKODUl7KtrQ3Nzc1Ol+8xR6/XQyaTobe3lykCE9UEW3XP2tvb0dTUxPmV9niQ87f3pk3mrkgtw9vbm7lxusIeg9Sk3GHLwAbEy4jMeNlTF5LJZFixYgXmzJmD3bt3e0QtjsfDAw8w/OMbb6cwNDSEQ4cOYd++ffjyyy8REBCA1atXo7i4GEVFRW77khJpd9LXb296wVHsNbcj2lmdnZ3Iyclx2/nbC9Hsa2trY01Ngcj3kN0QsceY7MZpL6Qm4kw1CGdCgs5YQdPaulB/fz9WrlyJ1NRUfPrpp5ysvfGMjccHHmvRarX4/vvvUVJSgoMHD0IkEmH16tVYt24drr76apc1I5DBSpVKhdzcXM4oHJvrnkmlUggEAiYIhYWFMat3iqIYj/vc3FyP6xwk7fbd3d3Izc11imYfTdMW8j06nY5ZvTuiTE4gPky5ubkeF/SBn9OD1uzUzOtCUqkUXV1d2LFjB6699lqcPHkScXFxKCkp4ZQMFs/kXDGBxxyDwYCjR49i3759OHDgAEwmE1auXIni4mJcd911TvsS6/V6iMViCAQCZGVlcXaFRlacEokEvb29oCiKcQXt6uqCTqdDTk6Ox9lUEwmfvr4+lwVNc2M20m0YFhbGiJnaeg2JjAzXDOishdTUsrOz7Zqxk8lk+Oc//4k9e/agsbERM2bMYDpbFyxYwOrOkk3LaoPBgMceewxfffUVLl68iJCQECxevBgvvPCCRzqIOsoVGXjMMRqNOHnyJPbs2YMDBw5ArVZj5cqVWLt2LRYtWsTajoQ4bhIJFi7VmiaCrN57enrQ2dnJBKHY2FhERkZ6TE6doihUV1dDqVQiLy/PbUGTKJNLJBLI5fIxRWHHgqg0d3Z2Om2n5my6u7tRV1dnd9ABhmu4v/jFL+Dj44NPPvkEJ0+exMGDB/H111+jpqaGtVrpp59+ijvuuMPCsnrPnj0TWlZfc801FpbVO3bsYDTWFAoFbrzxRtx9993IysrCwMAAHnjgAZhMJpw7d46Vc/YkrvjAY47JZEJpaSn27t2L/fv3Y2BgAMuWLcPatWuxZMkSu1fIpF3aU2dctFotysvL4efnh5SUFPT19UEikWBoaIjz8y3Az+Z5Op0Oubm5nDlP0ughkUjQ19cHX19fZidkXmMz96NxRKXZnZCg40j33dDQEG688UZQFIWvvvrK4joQ9Xq2cJZltTlnz57F/Pnz0dbWZrVy+OUCH3jGgaIonD17lglC3d3dWLJkCdauXYvly5dbveKUSCSorq52aru0M1GpVKioqGCsvc1/3OYDq0ql0i4FaGdjNBohFotB0zSys7M5O1hsMpmYgC6VSiEUCpmaEHk8Ly/P42pqwHDLfW1trUNBR6vV4uabb4ZKpcKhQ4ecmmbU6/Xw9/fH3r17UVxczDy+ceNGyOVyHDx4cNRrEhMTsW3bNguF6CeffBIHDhxgvKJG8v3332PJkiWQy+UemTZ1BM/Ik7gBoVCIwsJCFBYWYseOHRCLxdi7dy927NiB++67D4sWLcLatWuxcuXKcTvASLuutTMiXIPs1OLj48f0ATI3t9NqtUxNyNzcLjo62m1DlkSCyNvbG1lZWZxOb3p5eTHXy7zGVlVVBZPJhMjISCiVSkyZMsVj0pvAz3NqjgQdnU6H2267DXK5HN9++63Tb9LOsqw2R6vV4o9//CM2bNhwxQUdgA88ViEUCpGbm4vc3Fw8++yzqKmpwd69e/H666/j/vvvx/XXX4/i4mKsXLkSERERoCgK77//PmbMmOHQNLY7kUqlqKqqwowZM6xKA/j6+iIxMRGJiYnQ6/XMTqipqYkZsoyJiZmwjsEmJD0YEBCAefPmcXqIeCRCoRBhYWHo7u6Gt7c35s2bB4VCgZaWFlRXV1ukN7nczUW04xyZ8zIYDLjzzjvR1dWFw4cPe+S80kgMBgNuuukm0DSNt99+292n4xb4wGMjAoEAGRkZyMjIwJNPPonGxkbs27cP//znP/G73/0OCxcuhEajQWdnJ06ePOmRQaerqwt1dXV2Kxz7+PggPj4e8fHxFuZ2ra2tY9oQsA1p5AgLC8Ps2bM9KugAwzWdmpoaKBQKFBQUMLWfGTNmMK3FpDuM7CzdbVE9EpJidkQ7zmg0YvPmzWhubsbRo0ddpszgDMtqAgk6bW1tOHLkyBW52wH4Gg9r0DSNc+fO4Ze//CVUKhUMBgOysrKwZs0arF27FlOnTvWIpoLW1lZcvHjRKRIsI+sY5ukltib9VSoVysrKEBsbi5kzZ3rENTeHdN+pVCrk5eVNuKMZaZvu7+/PBCFnBXVrINYM8+bNszvFbDKZ8Jvf/AYVFRU4evSoSy0eAPYtq4Gfg86FCxdw9OhRTom5uho+8LBES0sLli5diszMTHz44YeQyWTYt28fSkpKUFpaioKCAka6JzExkXM3RPPBypycHKevxCiKwsDAAHp7ey0m/YkNgT1BiChkJyQkIDU1lXPXeDIoimK8mPLy8mzqvhupQiESiZggZD4A7GxI0HHEmsFkMmHr1q04deoUjh075hYjR7Ytqw0GA2688UaUl5fjiy++sLg24eHhnOm0dBV84GGJrq4uvPfee/jzn/9s8SOnaRpdXV2MncOJEyeQmZmJ4uJirF27dsyivauhKAq1tbWQy+XIzc11eTMAG+Z2xOY8NTXVIxWyKYpCZWUlKy3fFEVZqFCQ2SsS1J3VZCGTyVBZWelQ0KEoCg8++CCOHDmCo0ePuvVv+cYbbzADpNnZ2XjttddQWFgIALjuuuuQnJyMXbt2Mc/fs2cPHnvsMWaA9MUXX2QGSFtbW5GSkjLm+xw9ehTXXXedsz8Op+ADjwuhaRoSiQQHDhxASUkJjh49ivT0dCYIucNm2Wg04vz589Dr9cjJyXF7sZqmaSiVSqZDTqvVIiIiglm9j9UOTRohZs2a5XE258DwCr+yshIGgwG5ubmstnyTAWCSkjO/npGRkayttInd9pw5c+xOi1EUhT/84Q/44osvcOzYMaSmprJybjzcgw88boJ4Ch08eBD79u3D999/j9TUVMbOYe7cuU5Pj5g7nmZnZ3OyTVelUo1pbkc6uogtg7tdN+3FZDJBLBaDoijk5OQ49W8wlh9OaGgocz3tVekgfkyOBp3HHnsMe/bswbFjx5CWlmbXcXg8Az7wcASFQoHPP/+cMbabNm0aE4Sys7NZD0IajQbl5eUIDAz0mHZjjUbDBCGFQgFfX19otVrMnj3bI3c6RqMRFRUVEAgEbgn8I32aAgMDmZSctRYZ/f39EIvFmD17tt1+TDRN469//Ss++OADHDt2DOnp6XYdh8dz4AMPB1EqlRaeQpGRkYySdkFBgcNBQqlUoqKiAlFRUW5J77FBU1MT2traEBgYCKVSicDAQMTExLBibucKDAaDxW7T3cOtBoOBUYCWyWSYMmUKE4RCQ0PH/I6QoJOenm630CVN03jhhRewc+dOHD16FBkZGY5+FB4PgA88HGdoaAjffPMN4ykUGBjIdMcVFRXZfMMaGBiAWCxGUlISUlJSPC7oELHMjo4ORqGZ3DSJ5hkxt4uOjnaLK+hkGAwGlJeXc1ZRgbS9k0AEgAlC4eHh8PLywsDAACoqKhwOOq+88gpeeeUVHD58GNnZ2Sx+Ch4uwwceD0Kr1eK7775jPIV8fHyYndBVV101aVGaDPXNnDkT8fHxLjpr9qBpGg0NDZBIJIxr5UiMRqPFrBBxBZ1o5e5K9Ho9ysvL4evri8zMTM6nOM1N2SQSCQwGA4KDgyGXyzFz5ky7xS1pmsYbb7yBHTt24NChQygoKGD5zHm4DB94PBS9Xm/hKURRFFatWsV4Co3sViKOj56qG2fe8p2Xl2dVIZyiKIsgJBAIEBUVhZiYGJfOthD0ej3Kysrg7+/vMXU1c2iaRnd3N2pra+Hj4wO9Xm+XMCxN03j33Xfxl7/8BV9//TWKioqcfOY8XIMPPJcBRqMRJ06cYDyFNBoN4yl0/fXX469//SuMRiP+/Oc/e6TWFUVROH/+PDQaDXJzc+1q+TYX3pRIJDCZTC6ZbSHodDqUlZUhKCjIJR2LzkAul6OiogIzZsxAQkIChoaGmJ2QQqFAcHAwc03Hq7PRNI1du3bh0UcfxRdffIFrrrnGxZ+Chwvwgecyw2Qy4fTp04ydg0qlAk3TeOSRR7B582a3KUXbC2k3NhqNrM240DSNwcFBZlaIWFOTlTvb3WVarRZlZWUICQnB3Llz3Z7usweFQoHy8nIm6IxEr9dbyPf4+fkxQYjI99A0jY8++gi///3v8Z///AfXX3+9Gz4JDxfgdOCx1XqW52d0Oh1uv/12nDlzBsuWLcP333+P3t5e/M///A+Ki4uxbNkyzrtYks4voVDotHZjYk1NdkJqtdpiYNXRAUuNRoOysjKEh4dj9uzZHh10pk+fblVNx7zOJpPJ8Mknn0Cr1SI1NRVvvPEGSkpKsHTpUhecOQ9X4ex+/9NPP8W2bdvw5JNPory8HFlZWVi6dCkkEom7T80juPfee9HW1oZz587hnXfewYULF/DDDz8gPT0dzz33HJKTk3HzzTdj9+7dkMvl4Nr6Q6fT4dy5c/D29nbqYKVAIEBQUBCmT5+OoqIiLFy4EGFhYejs7MTx48dx7tw5tLe3Q6vV2nzsoaEhnDt3DpGRkR4bdAYHB1FeXo7U1FSrGwlEIhFiYmIwb948XHvttSguLsbg4CBef/11CAQC/Otf/8LevXuhUqlYP98333wTycnJ8PX1RWFhIX766acJn79nzx6kp6fD19cX8+bNw1dffWXx7zRN44knnkBcXBz8/PywePFiXLhwgfXzvtLg7I7HVutZHktaWloQFRU1ZucXTdOorq7G3r17UVJSgsbGRgtPofDwcLfeJMlwa3BwsFvrIcTcTiKRQC6XIygoiOmQm2xWSK1Wo6ysDDExMR6pkg0MB52ysjKkpKQgOTnZ7uN88cUX2LRpEz788EMkJiZi//79OHDgABYuXIh//vOfrJ3vp59+ijvuuAM7d+5EYWEhXn31VezZswcNDQ1jNtScPn0a11xzDZ5//nmsWrUKu3fvxo4dOxhhTwDYsWMHnn/+eXzwwQdISUnB448/jqqqKtTW1nLGZdcT4WTgscd6lsc+SIvyvn37sG/fPlRVVeGaa67B2rVrsXr1akRHR7v0pqlWq1FeXo7IyEhODbea1zD6+voYc7uxpvyJNcPUqVMxY8YMznwGW1AqlSgrK0NycrJDQeebb77B7bffjvfffx833XSTxb/pdDpWtQFtXazefPPNUKvV+OKLL5jHFixYgOzsbOzcuRM0TWPq1KnYvn07fv/73wMYTjvGxMRg165duOWWW1g79ysNTqbaJrKeHc9Klsc+BAIB0tPT8ec//xllZWWoq6vDkiVL8PHHHyMtLQ3Lly/H22+/jc7OTqen45RKJc6ePYvY2FhOBR1g2Nxu2rRpyMnJwXXXXYeUlBSo1WqcPXsWp06dQmNjI+RyOQYHB3Hu3DnEx8d7fNBJSkpyKOgcPnwYd9xxB95991388pe/HPXvbAYd0qq+ePFi5jGhUIjFixejtLR0zNeUlpZaPB8Ali5dyjy/paUFPT09Fs8JCQlBYWHhuMfksQ5OBh4e9yAQCDBjxgz88Y9/xI8//ojm5mYUFxdj//79mD17NhYvXozXXnsNbW1trAchuVyOc+fOISkpCWlpaZy+YYtEIsTGxiIzMxPXXnstZs6cyQyGnjlzBv7+/ggLC+Nc3cwayG4tMTFxXBl/azh+/Dh+9atf4fXXX8evfvUrp/897Vms9vT0TPh88r/8Aph9OBl47LGe5WEXgUCApKQkbNu2DSdOnEBbWxt+9atf4dChQ8wN929/+xuam5sdvsH29fUxrbqO3OzcAXFRJS3GU6dORVBQEKqqqnD8+HHU1NRAKpXCZDK5+UwnhwQdYqRnL6dPn8ZNN92El19+GXfeeSenFxE87oGTgcfHxwd5eXk4fPgw8xhFUTh8+DA/5ewGBAIBpk2bhq1bt+LIkSO4dOkSfv3rX+P48ePIy8vDwoULsWPHDtTX19schCQSCaNuPNZ8iCcgl8uZwDl37lzMnj0b11xzDdMCXl9fjx9++AHnz59Hb28vjEaju095FKQZYtq0aZg+fbrdx/npp59w44034rnnnsPdd9/tsqBjz2I1NjZ2wueT/+UXwOzDycADANu2bcM//vEPfPDBB6irq8N9990HtVqNTZs2ufvUrmgEAgFiY2Nx77334tChQ+ju7sYDDzyAc+fOoaioCPPnz8czzzyD6upqUBQ14bG6urpQXV2NefPm2S2p7276+/tRXl6OtLQ0i3ZjgUCA0NBQzJo1C1dffTXy8/Ph7++P5uZm/PDDDxCLxejq6oLBYHDj2Q+jVqtx7tw5h4NOeXk51q1bhyeeeAL333+/S3c69ixWi4qKLJ4PAN999x3z/JSUFMTGxlo8Z3BwEGfOnOEXwA7Cya42wkTWszzcgjhdEk+hb7/9FvHx8YynUFZWlkVbdHNzM9ra2pCdnY3w8HA3nrn9EAM0W51P1Wo1o5qgUqkYvbPo6GiXO8CSnU5cXJxDzRDnz5/HypUr8fDDD+OPf/yjW9Jrn376KTZu3Ih33nkH8+fPx6uvvorPPvsM9fX1iImJwR133IFp06bh+eefBzCcErz22mvxwgsvYOXKlfjkk0/w3HPPjWqnfuGFFyzaqc+fP8+3UzsIpwMPj+eiVCrx5ZdfYt++ffjmm28QGRmJNWvWYO3atdi/fz/Onj2L/fv3IyQkxN2nahfE6tkRAzRgtLldcHAwoqOjERMTY7cjqLWQAdfY2FiHGjpqa2uxfPlybNmyBU888YRbazoTLVavu+46JCcnY9euXczz9+zZg8ceewytra1IS0vDiy++iBUrVjD/TtM0nnzySbz77ruQy+W4+uqr8dZbb2HmzJmu/miXFXzg4XE6arWa8RQ6cOAARCIRbrzxRmzYsAELFizgnB/NZBB7CUesnsdCp9NZ6J0FBgZaDKyyeUMfGhpCWVkZoqOjHRpwbWhowPLly7F582Y888wzfCMBj1VwtsbDFZ5//nkUFBQwU+vFxcVoaGhw92l5FAEBASguLmaslV966SVQFIWbb74ZM2fOxIMPPohjx45xot4xGb29vaiqqkJGRgbrBeYpU6YgPj4eubm5uPbaa5GUlASlUokzZ87g9OnTuHDhAhQKhcNdhEQ/ztGg09TUhFWrVuG2227D008/zQcdHqvhdzyTsGzZMtxyyy0oKCiA0WjEn/70J1RXV6O2ttYjLJa5wj//+U+8/PLL+O677xgTOr1ejyNHjjA7IQCMp9C1117rsEAn23R3d6Ourg7z5s1DVFSUy97XZDJBJpMxopsikchuczuNRoNz584hKioKs2bNsjtYtLa2YtmyZSguLsarr77qkTYPPO6DDzw2IpVKER0djR9++IH3ErEBk8mEwcHBcf2AjEYjjh8/zngKabVarFq1CmvXrsUNN9zg9kJuV1cX6uvrkZWVhYiICLedB0VR6O/vZ+pCAJggFB4ePmEA0Gq1OHfuHCIiIhxShrh06RKWLl2KZcuW4a233uKDDo/N8IHHRpqampCWlsakW3jYx2Qy4dSpU9i7dy8OHDgAhULBrK7/53/+x+WeQsS9lWsdeGOZ20VGRiImJmaUuR0JOo7aM3R3d2Pp0qW45ppr8I9//MPj6nM83IAPPDZAURTWrFkDuVyOkydPuvt0rggoisKZM2cYYzuJRIIlS5aguLgYS5cudbqn0KVLl9DU1ITs7GxOu7eam9tJJBJotVrG3C4oKAiVlZUICwtzKOj09vZi+fLlKCgowK5du/igw2M3fOCxgfvuuw9ff/01Tp48ydQpeFwHRVEoLy9n7BwuXbqExYsXo7i4GCtWrGCcLtmira0NFy9eRE5ODkJDQ1k7rrOhaZqZFerp6YFarcaUKVOQmpqK6Ohou2pnUqkUK1euxNy5c/Hxxx87zR+J58qADzxWsmXLFhw8eBDHjx/3OD2xyxGKoiw8hS5cuIAbbrgBa9euZcVTqKWlBa2trcjNzfXYWSOdToeysjL4+/sjNDQUEokEg4ODCAkJQUxMDKKjo62qnfX392PFihWYPn06PvvsM1bsx3mubPjAMwk0TWPr1q3Yv38/jh07hrS0NHefEs8IaJpGfX09E4Sqq6tx7bXXMp5CUVFRNgWh5uZmXLp0CXl5eZy3Bx8PvV6Pc+fOMWZ65PNrtVpmVmhgYGBSczu5XI7Vq1cjLi4OJSUlnOs05PFM+MAzCb/97W+xe/duHDx4ELNmzWIeDwkJcfpkOY/t0DSN5uZmJghVVFRg4cKFWLt2LdasWYO4uLhxgxB5bWdnJ/Ly8sZ0b/UESNAJCgpCRkbGuJ9Xr9dDJpOht7cX/f398PPzQ3R0NIRCIZKTk6FSqVBcXIyQkBAcPHjQ7Z2FPJcPfOCZhPF+tO+//z7uvPNO154Mj03QNI22tjbs27cP+/fvx48//oj58+dj7dq1WLt2LRISEpi/L0VRaGhogEQiQX5+vsfOaBFDtICAAGRkZFjd6mw0GplZoVtvvRVDQ0OIjIyEj48Pjh8/7rLr0d/fj61bt+Lzzz+HUCjE+vXr8fe//33CRYBWq8X27dvxySefQKfTYenSpXjrrbcYH53Kykq88MILOHnyJGQyGZKTk3HvvffigQcecMln4hkNH3h4rghomkZnZydKSkpQUlKCU6dOITs7G8XFxVi9ejWef/556HQ6vPvuuy5v12YLEnT8/f0xb948u+drZDIZNm/ejKamJigUCkyZMgXr1q3D5s2bkZeXx/JZW7J8+XJ0d3fjnXfegcFgwKZNm1BQUIDdu3eP+5r77rsPX375JXbt2oWQkBBs2bIFQqEQp06dAgD83//9HyorK/GLX/wCCQkJOH36NO655x68+OKL2LJli1M/D8/Y8IGH54qDpmn09vZi//792LdvH06dOoWAgABs3LgRt912m0MyMu7CYDCgrKwMfn5+DgUdrVaLm2++mdHX8/f3x/Hjx7Fv3z4sXLgQt956K8tn/jN1dXWYM2cOzp49i/z8fADAN998gxUrVqCjowNTp04d9RqFQoGoqCjs3r0bN954IwCgvr4es2fPRmlpKRYsWDDme91///2oq6vDkSNHnPZ5eMaHHzn2YF544QUIBAI8+OCD7j4Vj4J4Ct1zzz1ISEhAbGws/vCHP6Curg4LFixAYWEhnnnmGdTU1EzqKcQFSNDx9fV1KOjodDrcdtttUCgU+OqrrxAcHAyRSIQbbrgBb775plODDgCUlpYiNDSUCToAsHjxYgiFQpw5c2bM15SVlcFgMGDx4sXMY+np6UhMTERpaem476VQKDg1DHylwTfjeyhnz57FO++8g8zMTHefisfy8ssvo7S0FCdPnsS0adPw8MMPQ6FQ4D//+Q/27duHV155BYmJiVizZg3WrVuHzMxMzsnDGAwGlJeXY8qUKQ6dn16vx8aNG9Hd3Y3Dhw+7ZW6pp6cH0dHRFo+JRCKEh4ejp6dn3Nf4+PiMOt+YmJhxX3P69Gl8+umn+PLLL1k5bx7b4daviMcqVCoVbr31VvzjH//g9DQ91/ntb3+LH374gTFxI66hd9xxBw4ePIje3l489dRTaGlpwZIlS5CZmYk//elPOHv2LCd2QkajERUVFfDx8RlltGcLBoMBv/71r9HS0oJvv/2W9Z3AI488AoFAMOF/9fX1rL7neFRXV2Pt2rV48sknsWTJEpe8J89o+B2PB3L//fdj5cqVWLx4MZ555hl3n47HEhgYOGG3VHBwMDZs2IANGzZArVbj66+/RklJCdasWYOQkBCsWbMGxcXFKCwsdLl8jNFoRHl5OUQikUM7HaPRiHvvvRe1tbU4evSoU1S3t2/fPmkHaGpqKmJjYxnhU/Pz6+/vH9eCIjY2Fnq9HnK53GLX09vbO+o1tbW1WLRoEe655x489thjdn0WHnbgA4+H8cknn6C8vBxnz55196lcUQQEBODGG2/EjTfeCI1Gg2+//RYlJSW46aab4Ovri9WrV6O4uBhXXXWV0+VkyE5HJBIhKyvL7qBnMpmwdetWlJWV4dixY0z7MdtERUVZFdCKioogl8tRVlbGdM8dOXIEFEWNa3mfl5cHb29vHD58GOvXrwcwbE7X3t6OoqIi5nk1NTW44YYbsHHjRjz77LMsfCoeR+C72jyIS5cuIT8/H9999x1T27nuuuuQnZ2NV1991b0nd4Wi1+vx/fffo6SkBAcPHoRAIMDKlSuxbt06XHPNNaxP+pOgIxQKkZ2dbXfQoSgKDz74II4ePYqjR48iMTGR1fO0l+XLl6O3txc7d+5k2qnz8/OZdurOzk4sWrQIH374IebPnw9guJ36q6++wq5duxAcHIytW7cCGK7lAMPptRtuuAFLly7FSy+9xLyXl5eXS32VeH6GDzwexIEDB7Bu3TqLm43JZIJAIIBQKIROp+MVg92IwWBgPIUOHjwInU6HlStXori4GNdff73Dk/8mkwkVFRUQCAQOB50//OEP+PLLL3Hs2DFOaQ/29/djy5YtFgOkr732GpMSbW1tRUpKCo4ePYrrrrsOwM8DpP/+978tBkhJqu2pp57CX/7yl1HvlZSUhNbWVld9NB4z+MDjQSiVSrS1tVk8tmnTJqSnp+OPf/wj7w/EIUwmE06ePMl4Cg0ODmL58uUoLi7G4sWLbR5SJUEHAHJychwKOn/+85+xb98+HD16lNce5HELfODxcPhUG/ehKAo//vgjE4SkUqmFp9BkmnAmkwlisRgURSE3N9fuoEPTNP7yl7/gX//6F44ePYr09HS7jsPD4yh8OzUPj5MRCoVYuHAh/va3v6GpqQlHjhxBWloann76aSQnJ+OWW27Bv//9bygUCoxcB5pMJlRWVoKiKId2OjRN4/nnn8euXbvw3Xff8UGHx63wOx4eHjdBURTOnz+Pffv2oaSkBE1NTVi0aBHWrFmDVatWwcfHB/fccw9uvfVWLF261O5uOZqm8be//Q2vvvoqjhw5gqysLJY/CQ+PbfCBh4eHA9A0jbq6OsbOoaamBklJSRAIBNi7dy9mzJhhl34cTdN4/fXX8eKLL+Lbb7+1kKPh4XEXfKqNxyE6Oztx2223ISIighGoPHfunLtPy+MQCASYM2cOnnjiCZw5cwbXXHMNdDodIiIikJ+fjxUrVuCdd95Bd3f3qHTceNA0jXfeeQcvvPACvvrqKz7o8HAGPvDw2M3AwACuuuoqeHt74+uvv0ZtbS1efvllXsbHAUwmE26++WYoFApUVVWhtLQUjY2NWL16Nfbu3YtZs2ZhyZIleOONN3Dp0qVxgxBN03j//ffx1FNP4fPPPx9XpZmHxx3wqTYeu3nkkUdw6tQpnDhxwt2nclnx3nvvYd26daM002iaRkdHh4WnUG5uLoqLi7F27VokJydDIBCApmn861//wsMPP4zPP/+cmXfh4eEKfODhsZs5c+Zg6dKl6OjoYMQ2f/vb3+Luu+9296ld9tA0jZ6eHuzfvx8lJSX44YcfkJGRgbVr12LKlCl49tlnUVJSwgth8nASPvDw2A2ZxN+2bRt++ctf4uzZs3jggQewc+dObNy40c1nd+VA0zT6+vpw8OBB7N69G0eOHMFHH33kdP8cHh574QMPj934+PggPz+f0cQCgN/97nc4e/bshCZcPM6DWHzHx8e7+1R4eMaFby7gsZu4uDjMmTPH4rHZs2ejvb3dTWfEIxAIXB50+vv7ceuttyI4OBihoaHYvHkzVCrVhK/RarW4//77ERERgcDAQKxfvx69vb1jPrevrw/x8fEQCASQy+VO+AQ8roYPPDx2c9VVV6GhocHiscbGRiQlJbnpjHjcwa233oqamhp89913+OKLL3D8+HHcc889E77moYcewueff449e/bghx9+QFdXF37xi1+M+dzNmzfzTruXGzQPj5389NNPtEgkop999ln6woUL9Mcff0z7+/vTH330kbtPjcdF1NbW0gDos2fPMo99/fXXtEAgoDs7O8d8jVwup729vek9e/Ywj9XV1dEA6NLSUovnvvXWW/S1115LHz58mAZADwwMOOVz8LgWfsfDYzcFBQXYv38//v3vfyMjIwNPP/00Xn31Vb6ofQVRWlqK0NBQi+HUxYsXQygU4syZM2O+pqysDAaDAYsXL2YeS09PR2JiokVtsLa2Fn/961/x4Ycf2u2wysNNeAdSHodYtWoVVq1a5e7T4HETPT09iI6OtnhMJBIhPDwcPT09477Gx8fHwqoaAGJiYpjX6HQ6bNiwAS+9Q1cHcgAABOFJREFU9BISExNx8eJFp5w/j3vglxE8PDyjeOSRRyAQCCb8r76+3mnv/+ijj2L27Nm47bbbnPYePO6DDzw8lxUmkwmPP/44UlJS4Ofnh+nTp+Ppp5+2Wt+MZ5jt27ejrq5uwv9SU1MRGxsLiURi8Vqj0Yj+/n7GAXQksbGx0Ov1ozrUent7mdccOXIEe/bsgUgkgkgkwqJFiwAAkZGRePLJJ9n/wDwuhU+18VxW7NixA2+//TY++OADzJ07F+fOncOmTZsQEhKC3/3ud+4+PY8hKioKUVFRkz6vqKgIcrkcZWVlyMvLAzAcNCiKQmFh4ZivycvLg7e3Nw4fPoz169cDABoaGtDe3o6ioiIAwL59+6DRaJjXnD17FnfddRdOnDiB6dOnO/rxeNwMP0DKc1mxatUqxMTE4L333mMeW79+Pfz8/PDRRx+58cwuX5YvX47e3l7s3LkTBoMBmzZtQn5+Pnbv3g1gWMF80aJF+PDDDzF//nwAwH333YevvvoKu3btQnBwMLZu3QoAFsPI5hw7dgzXX389BgYGRtWGeDwPPtXGc1mxcOFCHD58GI2NjQCAyspKnDx5EsuXL3fzmV2+fPzxx0hPT8eiRYuwYsUKXH311Xj33XeZfzcYDGhoaMDQ0BDz2CuvvIJVq1Zh/fr1uOaaaxAbG4uSkhJ3nD6PG+B3PDyXFRRF4U9/+hNefPFFeHl5wWQy4dlnn8Wjjz7q7lPj4eH5L3yNh+ey4rPPPsPHH3+M3bt3Y+7cuRCLxXjwwQcxdepUXriUh4cj8DsensuKhIQEPPLII7j//vuZx5555hl89NFHTm3/5eHhsR6+xsNzWTE0NDRqyt3LywsURbnpjHh4eEbCp9p4LitWr16NZ599FomJiZg7dy4qKirwt7/9DXfddZe7T42Hh+e/8Kk2nssKpVKJxx9/HPv374dEIsHUqVOxYcMGPPHEE/Dx8XH36fHw8IAPPDw8PDw8Loav8fDw8PDwuBQ+8PDw8PDwuBQ+8PDwOIHjx49j9erVmDp1KgQCAQ4cOGDx7zRN44knnkBcXBz8/PywePFiXLhwwT0ny8PjYvjAw8PjBNRqNbKysvDmm2+O+e8vvvgiXnvtNezcuRNnzpxBQEAAli5dCq1W6+Iz5eFxPXxzAQ+PkxEIBNi/fz+Ki4sBDO92pk6diu3bt+P3v/89AEChUCAmJga7du3CLbfc4saz5eFxPvyOh4fHxbS0tKCnp8fC+jkkJASFhYUW1s88PJcrfODh4XExxN45JibG4nFz62censsZPvDw8PDw8LgUPvDw8LgYYu/c29tr8bi59TMPz+UMH3h4eFxMSkoKYmNjcfjwYeaxwcFBnDlzhrF+5uG5nOFFQnl4nIBKpUJTUxPz/1taWiAWixEeHo7ExEQ8+OCDeOaZZ5CWloaUlBQ8/vjjmDp1KtP5xsNzOcO3U/PwOIFjx47h+uuvH/X4xo0bsWvXLtA0jSeffBLvvvsu5HI5rr76arz11luYOXOmG86Wh8e18IGHh4eHh8el8DUeHh4eHh6XwgceHh4eHh6XwgceHh4eHh6XwgceHh4eHh6XwgceHh4eHh6XwgceHh4eHh6XwgceHh4eHh6XwgceHh4eHh6XwgceHh4eHh6XwgceHh4eHh6XwgceHh4eHh6X8v8B+WOlcQSqjOUAAAAASUVORK5CYII=", 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