{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basics of _Dynamic PET_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook illustrates basic image input/output functionality of\n", "[_Dynamic PET_].\n", "\n", "[_Dynamic PET_]: https://github.com/bilgelm/dynamicpet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we download a 4-D PET image with its [PET-BIDS] json sidecar from\n", "[OpenNeuro](https://openneuro.org/):\n", "\n", "[PET-BIDS]: https://bids-specification.readthedocs.io/en/stable/modality-specific-files/positron-emission-tomography.html" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from pathlib import Path\n", "\n", "import requests\n", "\n", "\n", "outdir = Path.cwd() / \"nb_data\"\n", "outdir.mkdir(exist_ok=True)\n", "\n", "petjson_fname = outdir / \"pet.json\"\n", "pet_fname = outdir / \"pet.nii\"\n", "\n", "baseurl = \"https://s3.amazonaws.com/openneuro.org/ds001705/sub-000101/ses-baseline/\"\n", "\n", "peturl = (\n", " baseurl\n", " + \"pet/sub-000101_ses-baseline_pet.nii\"\n", " + \"?versionId=rMjWUWxAIYI46DmOQjulNQLTDUAThT5o\"\n", ")\n", "\n", "if not petjson_fname.exists():\n", " r = requests.get(\n", " baseurl\n", " + \"pet/sub-000101_ses-baseline_pet.json\"\n", " + \"?versionId=Gfkc8Y71JexOLZq40ZN4BTln_4VObTJR\",\n", " timeout=10,\n", " )\n", " r.raise_for_status()\n", " with open(petjson_fname, \"wb\") as f:\n", " f.write(r.content)\n", "\n", "if not pet_fname.exists():\n", " with requests.get(peturl, timeout=10, stream=True) as r:\n", " r.raise_for_status()\n", " with open(pet_fname, \"wb\") as f:\n", " for chunk in r.iter_content(chunk_size=8192):\n", " f.write(chunk)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load 4-D PET image\n", "\n", "We read in this 4-D PET image (and its accompanying json) using the `load`\n", "function from `dynamicpet.petbids.petbidsimage`:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from dynamicpet.petbids.petbidsimage import load\n", "\n", "\n", "pet = load(pet_fname)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic attributes/properties\n", "\n", "The variable `pet` is an instance of _Dynamic PET_'s `PETBIDSImage` class.\n", "This object stores image data in an attribute called `img` (i.e., `pet.img`),\n", "which is an instance of a subclass of `nibabel.spatialimages.SpatialImage`.\n", "(In this example, it happens to be an `nibabel.nifti1.Nifti1Image`.)\n", "We can get the dimensions of the 4-D image (3-D image dimensions and number of\n", "time frames) using the `shape` property:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(182, 218, 182, 23)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pet.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The variable `pet` also stores the PET-BIDS json as a dictionary, in an\n", "attribute called `json_dict`:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'Manufacturer': 'Siemens',\n", " 'ManufacturersModelName': 'Biograph mMr',\n", " 'Units': 'kBq/mL',\n", " 'TracerName': 'LondonPride',\n", " 'TracerRadionuclide': 'C11',\n", " 'BodyPart': 'brain',\n", " 'InjectedRadioactivity': 400.0,\n", " 'InjectedRadioactivityUnits': 'MBq',\n", " 'InjectedMass': 5.0,\n", " 'InjectedMassUnits': 'ug',\n", " 'SpecificRadioactivity': 35.0,\n", " 'SpecificRadioactivityUnits': 'GBq/ug',\n", " 'ModeOfAdministration': 'bolus',\n", " 'TimeZero': '09:45:00',\n", " 'ScanStart': 0,\n", " 'InjectionStart': 0,\n", " 'FrameTimesStart': [0,\n", " 15,\n", " 30,\n", " 45,\n", " 60,\n", " 120,\n", " 180,\n", " 240,\n", " 300,\n", " 450,\n", " 600,\n", " 900,\n", " 1200,\n", " 1500,\n", " 1800,\n", " 2100,\n", " 2400,\n", " 2700,\n", " 3000,\n", " 3300,\n", " 3600,\n", " 4200,\n", " 4800],\n", " 'FrameDuration': [15,\n", " 15,\n", " 15,\n", " 15,\n", " 60,\n", " 60,\n", " 60,\n", " 60,\n", " 150,\n", " 150,\n", " 300,\n", " 300,\n", " 300,\n", " 300,\n", " 300,\n", " 300,\n", " 300,\n", " 300,\n", " 300,\n", " 300,\n", " 600,\n", " 600,\n", " 600],\n", " 'InjectionEnd': 30,\n", " 'AcquisitionMode': '3D',\n", " 'ImageDecayCorrected': True,\n", " 'ImageDecayCorrectionTime': 0,\n", " 'ReconMethodName': 'MLEM',\n", " 'ReconMethodParameterLabels': ['iterations'],\n", " 'ReconMethodParameterUnits': ['none'],\n", " 'ReconMethodParameterValues': [100],\n", " 'ReconFilterType': 'PSF',\n", " 'ReconFilterSize': 2.5,\n", " 'AttenuationCorrection': 'Activity decay corrected'}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pet.json_dict" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Frame timing information\n", "\n", "_Dynamic PET_ includes properties/functions such as\n", "`frame_start`, `frame_end`, `frame_mid`, `frame_duration`\n", "to extract frame timing information.\n", "\n", ":exclamation: Note: the default unit in PET-BIDS json files is seconds.\n", "_Dynamic PET_ converts these to minutes, so all of the timing functions in\n", "_Dynamic PET_ return values in minutes.\n", "\n", "_Dynamic PET_ internally performs certain data checks, so using these\n", "properties/functions are preferred over directly extracting the values from the\n", "json files." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "\n", "plt.figure()\n", "plt.bar(\n", " pet.frame_start,\n", " pet.frame_duration,\n", " width=pet.frame_duration,\n", " edgecolor=\"black\",\n", " align=\"edge\",\n", ")\n", "plt.xlabel(\"Frame start (minutes)\")\n", "plt.ylabel(\"Frame duration (minutes)\")\n", "plt.title(\"Frame duration vs. frame start\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic visualization\n", "\n", "We find and plot the first 5-minute long frame using `nilearn`:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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2mxXvAASfUBwpx0DiwSGJeyKRSCQSibVASSfmmx9JRbUmxrzZbKrX66nb7arb7Zbvn52dFUUatdrj4D3MAAVcUlHNpZWRAAn33VCdcLu6TuIp3/GQHMg750Zd5zPO4c9ftzvrYDDQbDbTbDbTaDTSaDTSdDqt3fAp8eQiY9wTiUQikUg8MkBkt7e3tb29XVHbUctRtFHBW61WIe2o8ovFoiR/ej10qrrwOaEyy+WyhNxsb28Xsk1YjVeSgUgTHiNJ3W73QoUaasJzPCE2XukmbgrFeSH5TvR94yZAKBD/3t7eLqq7GwpJ4p9MJHFPJBKJRCLxSOCx7MSTewUXrwZDiEyn09FgMCix5xDus7MzDQYDNZtNjcdjTSaTQmQhtlRtmc1marVa6nQ6arfb6na7hSx7HLuXggQYCtwbRAqV/+TkpFS2ofwjz8P3COPhmLOzM02nU00mk3LfcQMovx/Ou729rZOTk5JYe3x8rOPj44oKn3iycGU2YHrLW96i5XKp173udY/6VhJPGOhb/Jyenupzn/ucPvjBD+pVr3rVo769RCKRSCQSTwicb7zQz0tBKu6JJx7f933fp8985jNqt9v6+q//er31rW/VN37jN+q1r31tbjyRSCQS0oXQk2azWcoykmzqlWO8RrvXUT89PS0hIR5Pfnp6Wuqz93q9kpwaa69vbGyUGHqSVT2cJpaP9H97pZu6UBavbhTj4/3ZSWBFIcc74Em5YDqdVjZlwhuxtbV1oWwmCj+lI7P6zJOHh/E+k7gnnnj8yq/8ij71qU9Jkj7wgQ/o5s2beve73603velN+pmf+ZlHfHeJRCLx6OEJmNI50ez1eoVke9w3ZF1SZROl4+PjstuotCLUp6enmk6nOjk5KTHwkH+Iznw+L2SeHwwBjxP3MBX+zf+5rm/a5NVqNjY2yvVOT09LbD7PwTkJbxmPx6XyzPb2tjqdTgnh4TwHBwc6PDws9+YlMz2kiGfb2trSdDrVcrmsxPsnEveKJO6JK4ePfexjeve7361Xv/rVj/pWEolE4pHCCbvHd6OM7+3tlWPrKqpI1URNV7ghrdIqsZS4dqq8eAUXSi1SzjEaE61Wq6jfJLA68XVjwo0Cj3Vf9wzEwRNWKamUr+TvxPxz79zTYDAoJSDxEHiiLfdA6UhIPLXfL+POq4mLyOTUROJlwld8xVdIkm7fvv1obySRSCQeIVCECe2geox0Tkj7/b4Gg4Gkc8INkSbRU1pVXSG0hlronFM6JyonJyc6Pj4uCZuEnXhYCiA8hXuAuG9sbJSwm7Ozs4pKzt95LgB5jgmllHbEUIBwU0oSoIw7gfckV+rV82z+M5vNKsS93+9rZ2dHs9mshB55+E8S98uNJO6JxAPC7u6url+/rna7ra/7uq/Te97zHs1mM/3iL/7io761RCKReCSAtHc6nRJb7oo75RL9eA+L4W++OdFgMFC73S4hKSjXrmZDoInxhrhDnCGxhKdQXpFrnpycFOLjFVpc7XfizqZLkG9/Jq/r7veIAu5qfzRauC6hOKj8qPKUw/T4fNq01WoVY8bDbmiTxOVEEvdE4gHhN37jNyr//8xnPqM3v/nN+vznP/+I7iiRSCQeHSChW1tbGgwGGgwGhWD6xkrNZlPT6bTEa3tCpxNaSer1erp+/bq2trbK7qGuph8fH1dIuSeyOkgC7XQ6lU2cpFXSKKo7hNwNCkmVGHtPkEXpllZKegy3iQm6lHjkGl6SkmfDSPEQnv39fXW73UoboMTThsT7c+26MpOJy4Mk7onEA8I73vEOffrTn9bu7q7e/va365u/+ZuzmkwikbiygIxCjPv9fokd97AUV5G9Nrq0IsckXLZaLS0Wi0LS2UlUWpHWSKRR6yUVYwCVm7Adj4MnUdWVeVfX4zN6nXeUcTCfzytx9tyfq+y+8RTtEMnZug2ZUN49Ft6TXVHaY6gM9xMNmkQCJHFPPPH4rd/6rVJV5ud//uf18Y9/XD/1Uz+l17zmNRqPx4/47hKJROLhwElsr9fTzs6O+v2+2u12CSWJO4G2Wq1CXk9PTzWbzSohNVRamc/nunnzZiHAkFJJJb4dddpJqVexIUZ+c3OzxJ7P53NNp1NJ53lJrty7eh6BQcFzcc+INsTZdzodLRYLjUajQqJdsccz4SS80WiUZ0Bl53oo6uPxWLPZrHgMut2utre31Wq1KuUqvS0g++PxOKvNPCB85jOfKXltjn/9r/+13vnOd+ojH/mI/upf/auVv/2bf/Nv9Pf+3t+772tdmQ2YEomHicVioe/93u/Vl3zJl+id73zno76dRCKRSCQSLxO+9mu/Vs8880z5ecMb3iBJlVLQP/ZjP1Y55h/+w3/4oq6VGzAlEi8TPvrRj+qTn/yk3vWud+mHfuiHMmzmkgAlMFWoROL+4XHgJH2SLEmYiseJS9VNgwg9iSEoEJHZbKbhcFiJiUdNjqUWT09Pyzm8hCMgiVWqD4WJ98B1SGSlQk4M9fFQGVRyfwbuk3vxzwhxIQmW7/rzSKvKNsTU838qyMR34fHyeBlms1lls6jEi8fNmzcr/3/3u9+tP/zDP9RHP/rR8tlkMtGzzz77kq915WLc3/72t+uNb3zjhc9/+Id/WKPR6BHcUeJJxnvf+1797M/+rN761rfqR3/0Rx/17STuAbmIJRIvDhBkEk87nU4JB/GkTWK5AeSUUJdIWPk9Go1KXDvx2bFeOuUPpVVNdC8ZSdgL5/XveYgKMe6E7fD/7e3tUrpyMBhUNm5yws25Op1O5Z4xNvy5aQ9CaM7OzkolHifekHrfqMnj+/lNaUpi51utVsV4cdLO8+a89+CwtbWlN7/5zXrf+95X+fy7vuu79OY3v1lf/OIX9Qu/8Av6J//kn5TwrPvBlSPu73jHO2o//4mf+Ikk7okHjg996EP6wz/8Q33P93yPfvzHfzwz+ROJxBMJL+PotcejIu6JoVJ186Szs7NCxjc2NkrsubRKMoXAcpwnovoGT/5DkqykUkbSlfS4AZNv0CSpbHLEsV6Dnnvy6jfsoCqt1HQINsS77tk9odZ3deUzNpTCEHEPhW/mVHdOYuN5PvdyeLnLxEvHX//rf117e3v6iZ/4ifLZT/3UT+mzn/2s/vRP/1Rf/dVfrX/xL/6FXvOa1+jbv/3bH92NvgAakrJXJB47ZFhEIpFIvHRAKFutljqdjiSV8oaQ2c3NTfX7ffX7/Uq1GICSCDmPmxQ5mUcBj7uGbm1tlVKKKNwbGxvq9/uSzlXyWLedcB7I9dHRUUke9bAbFG8U93a7XZI73UhoNBqV5FQU98lkoul0Wu7dK8M4GZcu7g5LMm673S612yH23kbSKmTIQW14aeW9uHXrlobDoU5OTpK8P0B8+MMf1snJid70pjetPeav/bW/pv/yX/6LXv3qV+uP/uiP7um8g8FAR0dH+tjHPnZP1YA2Njb0Td/0TdrZ2dFwOLzn+wePjeKeuIgkr4lEIpF4sXDFmrhv6TxkoE4N91ASV50hvdPptBBeSKmHmHBNjw2XVuq2x7PzHa+ZTviIhxz4Lq2TyaRcx0tUSqqo56enp2VnVjwNrmxLK0+BXwNjwzdNIgeAZ+N5/Bh+0y6eC+DPTFw9Bg7n4rwYHJPJpNwLbZc84KXhy77sy/SGN7xB3/Zt33bX4z75yU9Kkr7qq77qnok7uHKhMokVPBbvqg7aq/a8iUQi8SDhITLUWac0IQSReG1i3l1ZjnXcUeCPj48rqmIMN/EdUGPICUmcvuuql4xkN1Hf+MgJOvfN+fxarkxTxpLykhgtGC7c62w2K0r79vZ2qSvvSjmKOGuxl4f0NkD5J1eA9o+GCR4FQok8H4Bn9eu7pyPx4vG2t71Nzz33nH7pl37prsd9zdd8jSTpC1/4wn1fI4l7QtK9d4REIpFIJKSLce3dble9Xq9C3CWVEBlCaKRqdRfCaIh/jxsRSVXyHWPbXYmHYJNsyjEeK85xbjRAgqXzEB8IMoIW543X5dljRRwId7vdLkp7rDpDG/jmSp6E6sTdN1FykS1ez+/Lk1G5vqRKmI17LabTacV7kbg/NBoNve1tb9NP/uRPVozOP/tn/6y+8zu/U7/8y7+sW7du6au/+qv1gz/4g/roRz+q3/3d373v6yRxv8J4kPU+HwUyxCeRSCQeDfDYbm1tqd1ua3d3Vzdu3Cjx39KKYMdwE9+lFELcbDaLKj2bzYr67KEuqNIkp0YSG8msl5/08J1Op6Nut1uu5SElPJt0rs57SclIptk0SlI513g8rpSZXC6Xmk6nJfyH62xvb19IJOV4FHmPgz8+Pq7cI+1AfD7GUq/X0/HxsSaTyYVKMgADqdvtloRgrst7uYoe+JeKN7zhDfryL/9y/dt/+28rn5+cnOgNb3iD3vWud6nX6+lP/uRP9HM/93P6p//0n76o6yRxTzyWg9Pr297t/pK8JxKJRCKReNT4tV/7tdr9AD73uc9d2DX1MiCJe+Ke4W5Lsu/rgAKSykDixcIn2exDicS9wxNSO51OUdx3dnZKRRWUcY5HWZdWCjP1xKnzTsIkf/fYbRJSiVOPuVnL5bKE2HjMPD/SudrcbrfV7/c1Ho81nU41n88roSRSNZ7cz+Px4/x7Y2NDJycnJaH2+Pi4Uu7y+Pi4KO4nJycXSj3iYeAZeA5X7gmh8QRWEna3trbU6/UkSfv7+7p165bu3LkjSZVEWX+2jY2N8hxespK64pfVE38VkIr7E44nnZjk5JJIPFrETVxyPF4NxEoyi8VCw+GwlGTkGMIvYl11wkROT08LGfca7U5aJVXiseln3IMbBySHEiLDb/rlbDYrO7Cy4RN117lvr/3earUqSae+86uXf3TvrxsTUYElVt3viTKXMWbfQ2U80dbJvMel8/f5fK5er1faiFAgD9/hefzZYkx9jufHE0ncE4lEIpFI3DdiJZjRaKTFYqHd3V1JKhVUII1eMcV3REWh55xSNSYbeIUUqVoDHhBzHyvVcD1qqjsg7hAdNmCCqHc6nUJs2bAIODH35NU60uTXiN4IvMdRbIvlND1BVVIxQMDZ2Zna7XZJBCaGPZalxFChGpCTd57lXmqFJx4+krg/wUAFiHHg8ffjBja88J3r6sAk97g+R+Lxx4PqO3Wq2ks9x4s9z8OE148mmS4X+ycb9FOSPPv9vgaDgXq9XlGnwXw+L+USCeuIpKPZbJa65FRvcWPAK644YlIlQIH2Uo9+T17C0Xcj3draKgmebNZ0fHxcSLgnqnI+Sj1yHp7B1XSvTsN3vEqNpMrfnPx7qUvaju/x77i+n5yclDr1vsFTp9MpY5OwHt8siko8tAGegdi+iUePJO5POOKGFQ4mkJfDHXa/hNonn/u5n8ed2CQePV7uBOa4acr93MO676wzBB43o9uf/W7Pn3gy4O94c3NT3W63EHcv90ic9Hw+V7/fV7fbLd9lF1InlajyEEuItBuBXhYS0uoklvtbLBY6Pj4u5J+/e4x7t9vV3t5eiamn+gz3v7+/r+VyqdFoVCHmGASQ283NTc1ms0oVHH8mf15/NkKCnLj7mIYsR9XbDZ84F+BRGI/HJRYflZ7dajGCokoPQd/e3i6x8nhCMA4elzkn8fCQxP1F4EEMlnULPbFs7kJ7ECrh3RT+eE/+fXeP5gSReFB4EGTybuNwHWn3HRt9TKyLffUF2WtBY1x7iTZXv+ru62EusnWEI/HkwssLenw3XlJXuqVVuURi2iGDkGFpVU99MBgUgrxcLkvSKMdBgF2d5ndMYOX/HmMPFouFptNpKUnJRkxcU5IODg4K+SYu31X7VqtVaQ/ahPuNpNx3J/Wk2qi414XM1Bn7vktqrOPOuu4bLtHOwOPlARtI8Wycg4TbJO+PFx7Gu0ji/iJxL4PFiUHcRU1aLfae5U5WO5MkE9y6uDy/Trwe1yQ+Lm5S4ZMfEyV/9wnXiX6SgUQdXsri8WK+W0fM4789BCB+7sf7Yu2kB7jr25P4IPPSaqGFzK8j8ffiZXgQ4yqT164WIkH0sr3UGd/c3NT+/r4kldhwSPJ4PNZkMqkkVJ6dnWl/f1+DwUAnJyeaTCYVco+S7Emr3IvXkpd0oWY544c1h/ueTCblvK7GTyYTSeeK9Pb2drl/ElLj+se6ynW8Ok4k5cDXRw8DQvW/m/eKMByuybpLaIx0Hp8/nU41Go0qcwebOkmrSjMYFF4xJ3oK2Lwpx/njgwyVeYxxL40OaWbCotTV9vZ2IQLE2OEC6/f7FWva3Y6RMDuZdkLhqgsxg9euXdPe3l7ZbIKJeT6fl1jIo6MjHRwclI02gLsWIxlZd0+xHZxkpXKfkFb99sVgnTfJ+xqJcBilKGVR9fPYb1zSJMABvF/cs58DYgFJQR2MZfGki0Rh3Tioc7cnEnWgP3rseavVKhsZtVqt8rft7e2yCVO32y3hKP7bk1GlVWgNVV5cuXaCzxoV9/nwJE8AYZdW4SmSSmIsZBWxyWPOfU2VqomknJvPJ5NJKWHpSbhcLxrY3I8jKuz83I3EexIsgph0PidxTRcH4njn2f1e/L7JD5jNZkXFz3X18UAS9weMBx1PGweuExHPmMfapnwVu7JRdurs7Ew7OzuSpGvXrhXVwycJ3x6aSdInIi/95aqL75y3v79fJgOfrIiDpN4tCTGu5nuikYcOuMro/36hdssJJhFxL/Ho677nRrIrV61Wq1R7YEGMHi+MZ1cIfdF0t31dOI17piDubihI1a3cQYyH9ed3wuPPybG5SCcSicTjhyTuDxgPcqGLajrn53MIM2q2pEoJKAgD5IJjdnd3y2YLKPScA2KMinB0dFSIthN3tnl2kjIej4uKP5vNyuYOrVarXO/s7Ky447xElysmPKN7AqSVKhE9A7Hdk2w8uXhQYTKMq7v1o/h9XNOQbmnlKZrP52VsdDodbW1tFQWM8eOK5dnZmU5OTirubWmlzq0zUpfLZcVLxnfXXc9jhD0kwO8BF30Mxzk5OamMtRxXVw91IZH0oe3tbfX7ffV6PbXb7VJSsd1ua29vT9K5YXt0dKQ7d+4UNZ0QDPcmEdrhMeeMT+9/UVl3oQkQ0oIC3mg0KsmwHEMyqo9hHwMo1svlKn4/Grynp6cajUbl3ufzeSVkVFIR0FzljmPOx5nPATGcDnAPHOdeCIQBzu/fj+GriGnMBe4N8TAcLxGZuDq4MsT9QcFJu5eeclc9pZt2dnbKRNlqtUqoik9OPpl2Oh2Nx+NyHcj7zs5OZbc6yIjH3caBTEwekzaT5enpaSEjTAyTyaRM7Jyferr85rxMRr5THO7MqCKCJBaJF4Ir2DGvgr/HWPFIut1whSA0Gg21Wi11u111Op3KJi1ckxCzzc3NEg4AYj1sDFoIhHvyGAPcE/fj1/Hz+ne571arVRlbW1tbF3a05D7iPTgyxv3JRgzbarVaJQym3++XMDHvk2dnZyX0heol9BEfE/R/iC3HeQlEr6oSNxlyAu0Enn6K6IOHzA1h7ofdUjEWGAM+hgg79e/yf68n7/XV68QlnhuDxENzXKTCAOA6MRGVEB/asM4zzdrpMevcJ8/nXr+6pFo4Bj8IgenNfvRIxf0xgA8EJxa+MEurMBgUBFfLUbc3NjZ0enqq8XhcLOobN27o2rVrlcnNVT3U8KOjo3KM19X1QU6ijoMknsFgoE6no9u3b+vs7KwcR0zh8fFxUWlQOEajUbknLHxpNZm7KkEibSxjmZNI4oUQ+wj9H1LiCx+IMe2MNxZNwLjY29srJdcIUZPODeVWq1VZmEnYc4VvY2ND3W63kAm2TpdUWbw9/pV5YrFYFPW+0+mUBRhjgPvFI8d1MMy9nbgWIUCojXGOkqpxx4knA5GY8e9ms1kRgAaDQVl36KcuvHAu+rO0EnE2NzfL3H98fKyTk5OK0s76AFkEsQZ6nP99TXNvgRvp/I1rIBq5ak2/n81mxYvGffkY4VgMYdYovy/fOMmr8DAXcE8YLz6ePFxte3u7kkdAW3G8x9R7TXwvGMH76vV6ZS13wS0Sd6804+8h8WiRxD2RSCQSiYSk9SVGpWpVGTxILgI5MQUQQieq7m2CIMZcLq/TzrXjMZHAuNrtlZk85wRDHKMghtlwHjfm3aCIZRa9QgzXjs/KfZLDUlcy0kszx+f0YzwRnueMxRm87dxrxn1j3OMZIYzHDRzeI6IbAkAa6Y8eSdwfEXxg+r+9Di1Kt2fx+45ujUZD7Xa74uZ2NaLdbqvf72tvb097e3s6OjqSpJIB73G7hK4w2bDxglv4WN8xVpBSVO12u1S0qUvOI6bevQZcbzQalXADaeUViN4Iv9e4S2NOKFcPL5Rkuu7vroY1m82Kqz/G9fp4JATG3dKQGY81J3ac8xBiww6FPu44BpKxublZ4tVZoD02nYUacC/umXMF00vM+c6QJIcz1usUdVR7Jx917VunfiaeDMQxFKsXMTY8SdqPYZ6PSjDwHT4hiX6s30e8Fw8Di8cw5uJY4764N/dexWfz+G/mibodT6XzsCCPpY/J4m5oeEUY4IaCP4eH6VCakfmBnBsPzUPdrwt/8VwaSm4SEoNXwcOF8EjgwaeNcpw/WiRxfwSIExCThrSabNzFHSccj5VlQR8Oh5JWk8RgMNDe3l6JW//iF7+ow8NDSSqJNISt4P7f2toq58G92ev1KrG30splKlUngqOjo5KoA0HhXLgBfUKOu7d5Iq67XGkrrkW1m+l0WhL1fALNSeXqoc4Q9jCYuuNZ9KjAxKIbS7VFhc4XQo91bTQaZadFFnppleTFgsqxPn59e3eMAHdjcy7yWog5xcWNkQ08VjiOXX67UYIxEWPdF4tFcbW7ougEw2Nk60KOEpcXrrQjyEQiSQhZjNv2Yzz3Kaq/box66Ehdice6/3N/EV622GPfmRNiWA3/5njOyzPGdVhS5X69ZOTd8mdimB7HxLknehRcyPI5ibHvOS5e/YowJu5RWuXQIDw4n2CdjW3rIUepvF8NJHGvgQ8IrynLv0li8UWSwRKT5Eg2pYoMSXLtdlt37tzR4eFhiSkcjUZFJadMY0yK4/8kkkoqbrNms1liZdvtdolRRLlzhZDvuavU4xOdlLui7gmwPiExuUNm6lyqqf5dDdxtQff47zol2ePW406Dse/6v/FUxUXZY9GJU/W4Xgg58PwP/u+x6yTEtdvtinHLluSMO4+pddLhHgTi690A4NoeSkDyoaufMYwgerrqkv6cGMU2TFxOEOftORE+17MeTKfTSplfyLDHcEM2vTITce9OgF31lup34o6E16vReAKnE/cI769+35zfCzCQ9xFrvHvN+Ri64uMLY9qJN23pz+FhM/7ckfBzfQxsaVXpzb3jtCfEnQ2iPKdMUoW0I5C5QeKcJHoEEg8Pqbg/ZLj73YFCLlUnOye3kgpxgLhT0xnCPR6P1Wq1ygtj9zlP/Ox0OhXiAjkYjUblPLjNOp1OcacT5+Z147e3tyvKebPZ1O7ubgnpAbdv39atW7cknU8ShNWg3Lfb7aLYNZvNoiq2Wq1CNiAqTGqoAxgO3LvvzJrk4fLihVQdHxt1x7kL3H9zbo7xbdTrQrMiUfCEcV/0WYjjJmUs2FR64pwemkaiKEo64WyRTGPgomAyLp3cSyvjlcV7sVhUNr1hTDF/1LW5J9vF9+JJtcwjPCfEzA3pVOEvJ1gnEHmc2BFuAamPY0takVY+p4/4Md7fpFWJVQ9D43P6J0a2h7FxPa/uEpXweH/xHuqOYUxzfjfKmT8w1mPlG2lV6jEaBz6OmFcYR6zzvuMrhDnG+nMtJ9dedpLv+nzpPMLPF1V53wGW87qnIvFokMT9IcEntZgwQ+zp3t5emQyjBe9gMYfUeqw4CzgvFkLgbvler1dxEW5ubpY4Ns6Dmt9utysxfvwtTmSnp6eFrHS7XV27dq1yzycnJzo8PCyEBVLhyiMEZGNjo1IfmLYjNAZCIa3KWsUKHK4UrCN1iccb9/uO1oXEOJGuW/Ai+fTx5u5trsGx0kot9IWMc0Byms1mpT5yo9GoJJlxH5IKcScEjGt5/KoTEn7iAu/fgSx5pRsMXw/HgSy5ohqrTDBvRWUwGjlOYtwjlp6wRCKReGlI4v4ywxV2Frx2u122iJZWliwqm1vvbpVTJ7rb7arX60k6V9gnk0khJLgspWoFgPl8XlHJIbrL5bLE5UorAgFJJvzFXWsoAZIqagP3MB6P1Wg0iiq5tbVVMUBOT081HA41nU4veBOOj48rCaq3b9+uJN9BQqj5S3viOQDT6VSTyaQo8VGBzxi9y4u6ePYICCb9gn7rypL/oDqhVHFMVO+k6lbq0c1Ov4/epMlkUqn1zHbx8f7pr16K1Z+TTVL8OhixHr/e7/fV7XYr5e4oASepkHbUPcaIh9J4/CvPPJ/P1e/3yzzDPOJesChM+Db2dWMx8fiC99/pdLSzs6Nms1nZ6It36PHUHioZjb0YK84xHnpFSA4ijpc6ph/ShxCRXFl2ld3VbhfP4loQPeGcJ4awuPENXGRz49eTU+P5vV14buYrD61xAzjmlbig4HABgfkP4YJ3x9rOeHXvPc/IRorMV/P5vJLvkqEyjw5J3B8CnLTjVuz1epXENAg7JJgJwIkEu5sOBoNSh5mdTWOdXCa8wWBQSLjXcGbyQt3zzS+k1QTl5as83IZJie94Mi3quu+c6vG1TGqTyaSSjIry52WpxuNxuZfd3d2iSPrkRDyfkxwSqSaTiaRqMk7d78TlQHTD1y0ekSjgOfLveswn8bWeYyKt3MluRDMu6U/R5e8qNwYoiXuSSiUHws2cxJBw7YmyUclmYYW4U9vZycXm5qa63a52d3d1eHhYjAYfI95Wkipj3NsUY4brEptMdRra0o0W4oBpx5OTE21tbRWDg2eLSYzxPSYeLeh79J12u11EE2nVZ7xcoJPLOtSNWcYi49A9ZN6PPEbcEzBjlSfGKwZwHWl2T1sdcXdPm8e9uwcKRI8S54mlL52se6hqvCeelef36/n3vU0cTup4f3Xn4t59LqHdpFVRCeYyN1B4pni9xMNBEveHCJ8YHO56ZkFkEEPW+ZtvALOxsVESS926J1noVa96lfb39/XZz35Wf/Inf1Im3Ol0WkkGcoWPhdx3XIuDP8bvQuajeskEQAjMcrksSiMqfoyvhWi1Wq1KqI6kSriBx+/x24l7p9OpJAQxoTtBcNe9qy8gJ6PHA3HM+KKFweexpa7CeZiIq30eo+rqeYzx9hAS+ox7wTwEh+Pm87nG43G5JzxLjNlWq1Xi2Bk7GLmuRnNsJLnknyyXy+Jt63Q6FQ8X1+V4V955VsYzShpGisfmegIr94bXjzbCc0fIH95Av2cP3fG2clIUY4QTLz/WeR69v9KfKHHq79E9MtIq6RpA8u4WA+6EGNHJ+4X3W6lapSUWJqgTwKLCX3cuJ9z+/PzfjQsn2P4Z/dnHC8fQzv7br++qOsYKhDrev+eTeKlJF9MIw3MDxGP9mVc8kXVzc7MSckrbIYL5GPXQvMSTiyTuiUQikUhcAsTwTs/HcpVYWhFvSL2HvrhK62ErfC/CjXAIfFR3ubaHszhxj8a2E+U6uOESw2c4fxR8/PmiMr/uvG4kxTbw++R8Xs3GERV3zhMJPp+5cOWhOfG80qqSjMMFtW63W/LZonclha6Hh1TcHzDWqYMeP+tqtf/Nf1Aqer2e9vf3JanEqkkrF9dgMFCn0ymlHk9PT8vGSzdu3ND169f1/PPPF2XMr4dV7uoE94uSyeBnAq9TudkEipg4JhZKVKLwSys3vqsDfr75/Ly+vP9w31SU8VKR8V74PyqCP7e7OV09eKGJPfFocLd34oqxVK0w44oViy9lTGOFC3etE2bmKlhctGN/dS8UY4iYbhbA2WxWYt5RsKICjpvaFfdms1lCfPxYvG7T6bQQJuL4ef7FYlHZpG08HldiklHlUNz4LpvIeJsylhg71JiXVPE8cL+MbzwZrhByvzHOfV3ljcTDg483V9ydtEnV2uW8UzxahH/RV8hpcO+XtEqgllTx/ABfn5i/I3mOarffu4/zdWEwcd73c3BO9yA7YXaF3ENMnXiDeC/xGfyYdR5i/ubhQR4LH0vY0n7cN151LzDBe6GN4Rxck1AZj7v3fB3aYJ3XJvHyIYn7y4S4sG9vb1fKJPrAPj09LVVUGJQkjB4fHxcCzMLrSSex7OJwONTp6akODw/1x3/8x3r22Wf17LPPVhZSSeWeTk5ONJlMSkfwUBm34GMpLp9MO52OWq1WSUBrtVqVhZ7PIUcQb2L9pfP4dUnlXphsSFaSVKlHTUwlf/N7bzabJa7fE/U8PpO2jZNs4vFCHXmPsaJSdQMWFkTPlYhKEt+FsHKMExTGhi+gfM8JZ1w846QKwaCqC/fqx2H00ieprHT9+nVtbGyUzdNOTk5Koq2H0UCguB5ALMBYiIQCI8djYL3NXSiAVJD0LZ2P19lsVp6LdvY4WFdBfW7w0AkvQedEzNsoycHLg0i8YriIx7k7PDzTw1KazWbl3fN5VLPJAdna2ioqrhvflBqO6rYb21Fw4vy+XtU9F1hH3rmGx8F7SKsLQFEtj+PfiT/XdwOG33WeiLqwGsYa6yjPG5NYI3ytc6MEEYH3y33CGbwClc8X6wySxMuPJO4vEXXEwhdxVyvYyZRkUJ/cNjc3S9a+pLKAk/jDZ5R3pLJDt9vV5uZmIfcQ/vl8XnZBnU6nFdKyWKw2XiBZDhBr67FtALcliaXce4yhY4LzxZiEOwj71taWer2erl+/Lkl6+umn1Wg0dHR0pPF4XJL0aEO/B3Z+ZTGJRgcEgxKWXh+f+5aqpew4d+LRY12cqVStdAJJ8Hfv8H4YXdxSVSVmV0c8QlyfqgquPnMf0oqUo0qjYMU+64mf5I94SAFjnXvwBFOMWH8uaVVlie/5eOPZXDWtc7k7eeec0Ujx99FsNiu1nZmTqErhyWs8GzHHiA08txsS7g3w0AcnG3XhCImXBvp1nafYhRoSp50gSqu1rs5w5t9+Pid/rEEQ9Ol0WpJg/TjvI9E49THJ8/C5k/e6cJh1z17XDhwfyXH0wMXv8H/WKsZUDMHxc7i67+IE90t1uaeeekp7e3uaTCbFgJZWHm7mHAxq2sTfG+MLxZ0cNGlldM3n8/Ju2CMmzgv+DDlGX34kcX+AcCUBBbnX65Wa6xDh6BaEZKI2k7jJQHMLmMGIMk9WP4louM+9jJ0r3pLKYu+l56Sq+5KJ1TeEwf0fd3LEgCBEgGfx41ytQHn0HVvv3LlTLP/pdFp24OO+aF+SlSAPPjnFEKRms6mdnR1dv35dp6enOjo6qtR6h9BEt2VOPA8Pd1PUYwUU4O/O37kTWn4g0jEGNIbPcLyHnEDAnch6xRlpRSx9x+FIkj2xi+Pq7on7JSmbZDHKp0rn4xui5OPJNyDD64XKvlwuy3m8ihOeMzdCXK3j/mhrVzndTU5Y0mKxqi7lbRRDa5yAR9c9pABjqNFoXGizHJ8PFutCBZ0w0secpLvh5ztweuKiE2yvekRJZElll+D5fK52u10qrnn5R0ck7ZGUu5BDf1sXg15HPv1vbsAw1teRpkhgHST50l6sXT72fJ3ztqW9vQJMt9vV/v6+XvWqV+ng4KBCmFnTfW3kHvwdeGgghnO32y3vhTmFdZ2xzruve173PCQuP54I4n63DumDrd1uF+J+7dq1Uh7NK7dE8o5VCxF3F7zDY84ajUZRIWIcNwaAE3ifJLiOT0TRxYaFzXGQckJepNUkjEp5dnamyWSi4XBYcaWhfkCkms1mCZORzom7Gwbj8biUjQNMwngUmOwhXR4vCIno9Xp66qmniiIR4yqZuGLMPcgJ6OXDOrLgKrF08R24u9ZVNY6HfLvBi8LNufBC+WLqMbrSytikj3iFDcBYdRXSyb+0MswhyVGx5DfXx4DY2NgoBiweNfow487DUzwXhJA0FnDu04mKj2mMaX9+5iAPk6At/BncSGFxj+E68V14zgvPH8kLBgFwRT6RSCSuKlJxvw/ERvD4Whb1drutTqdTjiUpzJNFvNaxtLJ+USpczeL8HIcSR7gKG17wHZLgNjc3izJNaA7KBYs0ar4TJFfLhsOhxuNxJTbc3e+SCrmoUw88XjHGx52cnOjWrVtlgYeg+DburvhJqpCsjY3zTUG8RrZfHwI4nU71xS9+sZIY5++M7Pi7xRomeX95sE7p428eMxvdyNKqHKQbatIqLttDMSIR9KQzVHVczbH8qLu040Zl3tdjLLvH5nqta0LdPDSOZFN2L/ZwF8g38HABj+H3Psx4Re0mHpZjvG18LERvAd8lRCa2hxtPPIuH0nB+5iy/roclebIh5+UaGA2bm5slLMjFiByfLx8wAPGCeP/wtYBx6KquI74nBBfQbDaL0ej1wz3szMUuV9tjuEwMteIefXz4+Pf7WxdSE9eY+Jt7cnU+qvnuYWPu8u8SLufiXiwIwQ8C2cHBQQlV85Kyfi9+DW9LD/tj/nTBhPnSRY12u13JafHn8+dIvLxI4v4iEDsqExc116kQIZ0TdxZNlCviyNyFFUNQ/NxcjwouTGjUh/aX0263tb+/r263q/F4XHZWZSdRSWXgNRqNyg6P7ir3xBQS/bgHJ/iNRqPEybMZjFRNFmWB7na7lZhJ3xUVwwLyzgTtah+TDWpmr9dTv9+/EPLjhIRYeQhgVFPrJk8nHaiUORm9PKiL8eTz6PKWqnHXThTcC8R5UJlZjHzhQtH2YwnV8lhxX0idENS5iZ1MxrAY31SJcby7u1v6H8R/OByWcSCtksK9T3rMvrehG6WE23kog8fKe0UaCJATfM4HcYNU41KPBjCLO3OTj3+Oce+ftBIiAG3koUVx7uH9RyMgx+eDhXu+qITmRpVUFZQ4JoZJ1RlXMUxEWhlnHnYWDXIPEaszDLlv+oZXDPM53AUBUOdxdtSR9/hvrh//7QSZ9uN+XNzye3bBwg0hxuvZ2VnxwtH+7uUDzGteQYrvANojjv+Yj+ChhE7c/Vl9Lsox+fLiYbTvE0Pc48DEcoaYtlqtSmImCxCTB6qRqwS9Xq8o88T4+QTmrmEGu8f3SqvJlAHM31mUvRSUD/DZbKbJZFIJF5BUVEgWYkgQf/Prerwck4TvVOlEhucmYTeGDWxvb1fc/t1ut9wv98/iT9w6Ro9POLGCRgyDIBEHUkQojccK8ztO6DkhPVisU91Rjrz9nbDH+NcY4hFjouN1eP+MJ3YHdI8XiVpukPr9RAKNGubhJIvFouSC8EOlGFfTUKq5F8aVe7w8iZPPyDHhPiDthObgJcBwllSekzb2a8X5hmd0g5227na7ZYt6QmRifDPn3Nw8T8B3D4Iniy8Wi4ohzbmcIDihr1MVE/ePqAz7GIuhmrS7tCLSvhke79zfI/2HH4ifV2jxnC2Elhgq52QXgg7qSKQr1IxLqdr3Of86BTO2SXxO/557sP358CYQO+6lT+uMfjcwYriY38Pp6WkpzeiGVUx65f9uBPu5IP6IeKy3/X6/4mmTVEJl61D3nnJsvjxIxT2RSCQSiURBTIxcd4yLRE6GY+6CJzV7dRJpRVCpLkMYDYY1x9Xdi5Nm4ITeibvnSNwPcfcf1HInya6su0rtHnUqwZycnJQSl24EObmmTdYp7jwLRSfcEwWiuODPC/CmIDxS1tmFMt4JAh87QkcRJAn6k4knkrijSmxvb6vX65VMeVfb+Hej0SgxpsSyE9/Z6XQq6tn+/n5x2/Pj1/Rrx4mSidRdga76S6uKEqhx4/G4hPqgMOJaR/EkbCCqMKjrW1tbpUxjo9EoNdelVdlFTwZstVrq9XqVcAJPBkTh2NvbK+507oF7Pz09rcTvU9OeicdDZprNZrlPrkd7L5dLHR0d6ejoqFTn4d1F9TCVhAeL6MHiR6q2v3/mMauoyrG/u1Lv6hbHELrGuRi3k8mkbGbmYQK+OOPq51oeHsP1YigACzfhXYeHh6U2O8/H8ajzeIhc4fKEc8ZMt9ut7OewXC51+/btch9e+91D4Tzpdl0ysKuTKO4ectTpdLSzs1PaysOL3DOAR6zT6ZQwPxJjeS5ple/DvdYREK/KEdXiHJf3h6hO+789JG1ra0v9fr+Sm+VrA2uae2ali6TYwy5494RzTCaTslYx9n1cRC8qc4D3Rw8rXeeZ8fnCVW5XwON843OHe/GkqnLNOKKvSyrlj/Fi01auyrtR4G3nHkDW9piHwnfdw+fqus9dbkx4m6Lej0aj4hkgV87vxQtDxNChHHsPD6m43yPiZCatqq50Op0yqNyNyPe8CoSHa3hIxsnJSRl8VLyYTCYV9YDBI60IhC/E0mrTGM4L8Y+JmQCSy3P4fftLZ3LgGXyzBmLciU9nUeWePDaSSRujw++bNmBijYoPSglGEgs/1/dJhmtxnm63q8FgcCEMhuRWdrf0+2bx8Ikq3YAPDnUhMu6S9rED3O0uVXMVvE/6+KCfcKx/jxAuT5xm4fJrukvb+4jfh9ef5vocw+KIEb5cLitzQd2ijRHp8fIersK1SFTj+QmXY4x4CA1ww59njgY/YXau1nlMOzg5OSltRmlad9d7BStXD31884xOivya/CYGHgEAYhPDBHJs3jvWjUP/vNVqqd/vF/IJ6NuMCd5HVMd9LENivViC1/onZCYaktGQdxU8Jroytr3PR/EFw8P7TCS2dcJB7F9O2rmX7e3tYkxTYY45wMOAPKHe5zAMYC/X6kazb0bImPVQIM//8XHGb7wGPidxHwhl169f12AwKM/NOI6ixLrxlmPw5UMS93uEW91O3Ilt91rFrgB40g4qGqTPa6+jDLAIn5yclOTTaPXiRnMS4wsgRIV79gSVCGq1U9LRDQF31/mE4ZY49x+3THay4UYJ12Si8WO8co0n5wAmWLwS7pEgPpl7bzQa5Tq8J1f4UYba7bYWi4U6nU5F0ZcuqqmRtKfK9+JRRxb4vK7PecKo93l/v5G4c7xvXObjMpJwFl9PlOPHVTs3oP0+MH7x7DCWTk9PNRqNipKPauxzBmRmc3OzeMHwJkWwIBMrzILqHifO7zHrvuB6lQ2/F287SBoueTcYnJjRtlxjPB7Xeh3jd/19cAxGgp/fj/e5gQ2feH7g103cGyJRBwhOkMqYbyBV353HTEsrgUla7a8QxxlEsdFolKpsrA1edMCNg5gAHd+/E/H4bBh89Bs3CIATdJ/rvb04l4equDHBOVnnWfPq4vG5bw+d4Yd+jMeb9nOPFhyC7yIm0m5O8nkXjCNfyz137uTkpHjREQw6nc4FcRIuQrv5s+UYfHmQxP0e4Q1Ax26329rZ2SmkwePRXDVi4HtyjisXTFKUi4NQRDcyEwTkmYnPJ8HlcqmDg4My6ZHMdnZ2VgYyxoTH5FERh0lyNpuV7zOh0llcBSAOzhOUeJY4kXS7XTUajVLjnWo6fj2fRCExTBAk752cnOjmzZvlWCa4qCowoUyn00LQaSfUdypleJ1rd1+6ApiT0EtHdEXHz+iPEHhXpPjtyhTvPU5k9AsWu263W6mg5OPUPUO+eRr9CyLiHizumcXQk7twh/u9oMhz3nUKFefD++W7RUrVEnzMI3jUUL1JQnVPkY93ScW75HsluLHOMdy/K23e/k6meX+9Xq8QBYfHQtcluLnx4KEDTtxcbcTwpg2kVX3+uEdF4iJ83Dn58s/pZxRdiAaVJwvzmau2vO/lcnkhKdWrF3EPg8FAu7u7ZS8QJ+6+5wDX4r4Zb5E40pe871O8wIsPRCXdjb+6sBhfY1xg8jAcPz/t4sZGxHK5rKyBMRafBFGuzw9V43xO9SRTBEE3sFmvXfnn/5yHssz8jd3OAWOO54phbVw7vpfES0cS9/uED1pKuhHL5otNJOVewo2Jzcm9uxyZWGLZN5RxJlJX1hhQEOujo6NK2EycbHDnca5+v6/BYFAmxY2NjVLpBtLBuX2A+jlQU8bjcSVWnLbqdDoaj8e6c+dORa2hnbzEm5N39yYsFgvduXPnAsnjGvz2JCLfaZVjWq2WptOpDg8PC3H3CZY2ixO6u1lzcro/uPLlXgs+8/hQV7AgntKqOhCGGO/VlWVfeBhPxIKzmEWFF48PxjiAcHS7XU2n07L3gN+PVB2bvuBxP65I4xFyD5iHpWxsbFTC7yIB5nxeGhZBQFIhznGs+hzgMcbeHox3ns0VfWJz8UDwzlxxjLW4/Rh/TzF+3UOM+KEyFWXvXPWH4HQ6nVKVy5/TvZM8XyKRSCTuHZeSuDvJcFXA42SjWhWzw52AQBAkVRZNFEF3l7va5IsOBHM6nRbC3Ol0KkS33W7r6aef1u7ubsXt7pY+9+i/nUT5PaDys7h74osny/j9xzg+TzpF7fNQGY+PjBnwTnCIx/Vr1R3ncYe0CUlx0rmxhBExHA4LyYshTxgwTt7rkuYSd4ePoai2e2w2ZdPod4wp7294Uepc3NJKPUIl5DrxfjB6JVVyN1xJajabhYijhrfb7QvhGLjBqRghrRQyj3XHCGB8uBucZ8bbRv9z9c69b3gRUN24DgY37eWGOkDdQ8WEsLuaTpv0ej3N53ONRqNK+TnaEcLP/FBXhtMNbGml1vFePekRwk+4G+LDcrlUr9dTq9UqoUeofdHD6X0ux+d6uOgQlXbmTvIoptNppX+AjY3zHao998Hndfeu0Od97GIIelIynhTetd8r8wL/dy8Ra5OvXZ4/xT3w2/sHayuIok2d2ODru3ODGCqGt4H5LgpU8Z3wuXs58GwzT3ksP2sXzwWfcEPZvQzMZdyHr9ue90Z5Zh+TcBw8fBzveTg57l5epOL+Aoik3WNA+c0kdHx8XDY2AR7b7omYuMMllbCXXq93IZ7TN2Nh4OEaZ/H2CYdreSWWmzdv6ubNm5WJ0pVuBqIrg151wwmOb4/OfTpRZ9L0CaDdbl8Iu6EslsfUewWLOle65wr0er1Kpj7ufM7Fu2PCZPt3P2Y4HOr27dsajUaFHMa68Z7ASJtFYpK4N0TyTvs5eYMsuuFKuIt03i8h0nw35m64mo3S6+FqfI+x1mg0tLOzo93dXU2n00IU6GuMa0i7l7LzRcr7uLvvIQ2E+VAfudlsFgI7Ho8r/ZQQMZLDPGGasLdut6u9vb3yDBxDXCrtJZ2r8FSxklbhLycnJxoOh+X/EANJZU8JDzPzmGXAs0bRIoYXeqgM9+DvPhINxAAnaJ1OR0899VSZG2NoYt2Clh6xi1hnREu6QNrxuszn88r+HLQ94hHG18nJiQ4ODiStwhsZOxi4MaGY8+Ep6XQ6xZvtQhmGtMexO3FHZCIcVFolvzKvM86iJ9dFskjagRvq/ps5h/5cl6Dr4bTz+byIAdLFRGy/Pu3NmPc50g1oH7cYWAgCzE++ARvX9YRariOdh5P2+30Nh0ONRqNy78yn7r2O7Zd4eZHEfQ0iySDUwycEJiIaBxe3E8Q4OXKcEw7O4a7d2WxWjIAYt4fVjvLo33OCiXU8HA6LQildzJSXzhd7X5BxtXN/7gqXVh3CE/+m02mJW3d1G0PD79Nj+CWVzZi8Mo17BLgPSZVSklyLbH3a19vCYyk9hp+cgn6/XwwzV0FZBG7cuKH9/X0dHh7q6Oio4mnxtkjcHbGdMIw8XlqqxoRKVVUe4lCX8OaLHmTAlTg3Bim5iFoF8fDjUBmJS4XIxvwUjOvYpz2MhkUWAh13muR4QtKYP1h8QaPR0GAwKFuPP//886WMqS/c9FHfiZjxyXl4VkL38HS4xwljmrHPTsWu6EPWOD+GPgs7RjLGPLsZu8eMErVeTtJ3UQWz2azsuLyzs1PZ3Zn3TdsyL0QPXo7Xerji7uPPSagnc/t4wqjzOG0/pxuykA4/D9fk+5ubq40K68oBrzMSoxLu3iYfay40IarFOT0aqHXGjhvudfObtBIJGGvuVfb8Dam6q6q/i/hMzCfMn06kmddms1mZu3jWunfH8/h3uG+q2/E5UQP+jt3DkXg4SOJeAx+c/JukNSfcvvMmZAPFDKxTjt0AYIFkIGONo8b5wEWJQnFiUwTAQuaq+OHhocbjcWVgebIMx08mkwvuSL++EyjfSY2/8ZtBzP17JQAAuWKyIaFuY2OjlMGMyWX8pib2eDwuW8TPZrOiKEKs4jloM2mlSlJvF++C15bmfQ4GA7VaLf3f//t/i/IQCUWSgReGK0gYg5BuaUV0IWyu8HhSpRtguI9ZvCTVqvFuCEqrsmcsRhB3X7BZsBiveHo85IS4b0ogsqARUy+d920IrVehIheD+8OIhMAwH/j43tw833201WppPB5rPB6XvvzUU09JUomP39raKvsTMP7cmPDkVNrVyY2PW5T4ZrNZMfJRLqkBzXm2t7dLku/t27c1HA7L+/PynO7ex5PilZ/cSGs2m5pOp5rNZur3+9rZ2SnjH9CnPLwI5Hi9N7iHmXmUsYRnmeOklWJNX/Ax5P2bXCPGvpNuP7+HhaGOSyobGBGW5WTb36er8Igv3o9c4d/e3i5Gha+P7qVzuEFTd91IlCVVvNV8H29XLE8cxSeHiwoupsXrYOyPRqNimDB+Y4gfXAIu4B5HL+rAek27e/K5h/PUtUviwSOJeyKRSCQSVwR1irEru55wzDHSKiYcROPbQ5oiSXZxyksR+j25F4tzeDgIRp0r9NyfG2UY05RD5d4diEtRpKtrI/97nRLvhgiEdl2MN8aJh4bSZn4+F9AceCSOj48r+zW4mCCpiH8YRbQXXjmeH+Lu3kL3zNPWntsQRTjeE20QjZnE5cWlI+7uAsNa9/JOHEOSB/BkEWnlfuK7KGbXrl2rTA6oEWdnZxqPx7XJKx4CIK1i3qVqzFp0H25ublbKODUajaL8xYoPDGzUMu49TjYo5WzKgeo2nU5LLWss99FoVJkMXAV3V2GMlXVlludZLBaaTCYlaZR/e215XPc+MbrbUlKp2879eKyhexg8PlBSUXa95q6/n0QVcVGsi3P3RT4uEKi3fJ/FCLWaMozsgCupUkWI3AVPipOqJcxQu+lDXoOasbxcLotaeHp6WsYJi1+r1Soufj6jOs1gMKi4k3E3u5pOBRj3Urnq7uFEeOtQw4iJB6enpyU0gGvxPMDjjvl/VNxpIw+nIV/F75Nz440g9ODWrVuSzj0XvAfifOfzeWUjN96jPzOxzNy3V+/a39/XK17xCn3hC1/QeDyuqI4xtHBjY6NS5cbnn6s2ZutIKvA8EogYYzTGhUur+v9eDpj+5mM6hhZKVeWaazjJbzQaRVnnXMfHxxqPx5WclxhbDeknPIx79NwNEi699KKvN9J6RTMS0xgmw/m833pYi+dk0Q7e9r7m1ZF/+AThfXjxrl27VuaS4XBYQviIFoDA+1hi/nTO4Z4C9nbx8DdyjGazmY6OjiSpePfjHHvVxtbDRCruNYikXVJlQqLzxw2DfNHzzguphjB3Oh3duHGjknCGtTocDks8mYeySNXtzv3Hw1JYIInxhPh4+UlJZet1JmhiVEmGe+aZZySdh9mQnEIcL0mxkrSzs6NOp6Nms6nnnntO8/m87FLqyXJO0nyi5RiUlEi2o/JDSM9yuSxVLnZ3d4sBIVW3c+b9sbBE1/xkMrmQNe+hSagREHfioD3GLyeoe0OdkuQLNpURPIyDvsv7obKFV4FhDwLODZEj6ZJFx41aSLmHuUH+IYjL5bIsUihSi8WixJBLurCoQXK3trbKWLp+/XrpyxgVqIeMW69G4/2L/gjB9tAgj1uN5MXnFEpTQuQBMfuSyiLvyaBuqJ+dnZX2xiDnex7mw735hlPcG8YR5/W4Y/7m18VQ4vNer1fUvRs3bujLvuzLNJvN9MUvfrGMeX/PPA/hGz5OIwG76qhTnhkXkF6M5UhI3TBmDo+b7/l66sRUWtVVbzQaF2rCRyWddcLvIx4XAZF2QQti6/kpdTHtEXfrM07InTtgPG5ubpaxFOdB76MuVkXy7iE0PqaZU6Tqfgzkjfm5aXPmUcYCax1wccR/nGNwH/zwbDm2Xl4kcTdE9xgDjs7rVS+kVfIaC43HsLEgufsIi/f4+FiHh4eVa6M0YwD4ghnj0mLGvC9CTkJBNCzcreaKsyt+w+GwsqjGpB9vK9rHY5S9JJ3fO8dzz0x07jHwdxEnU8g7kxQkz1W3VqtVFDYWiuPj4/I+OT/EyckdKgbP4cmvkIHoWk7X4L2hLh5UUoV0MV4gbOwv4Bt1eR4FSZe+kRDnHAwGFfc1JITru1eGvQWcEHhyl/d71HepuuB6kideJ45hTDBXeIUHSZVKOt4mMR4YxY3vdDqd4j1y4aBOiXQywTEejoBnyZNzl8vVhku0i2/nzrzhcwLn9OdHkcegZ45j3Du5QEX0OHraBEJ/69YtbWxs6ODgoCjzEa7qxgTWuiS9qwAXpaSqByx6RZkXe71eqS7kG/+5qCSt+ia5IVJV3ILg0x98/uTfp6enlSRnf4desYV7529xfYGY0s+8ghmhJhjREPiYxBzbjWv6b38Wj7ePhqGvs8xDbrgyxuPa7ddyb9vW1lapMDMajXTz5s0KkZZWCd/krnl7eQgRcx5lbvmbr8XMtay9PuZYC91Lk3h5kcT9/yGSdgZjrJKws7NTVCosdd8p1NU3qVopgwVyNpvp4OCgsjgzKFCFUfuiEuCDFqXcy+O5ezG6ALlvrHQnzyTLUDP54OCgJNExAfoE6oSACYHJl+Qz7gn4BI264morbcH9+j3yN64JUcMtf3R0VNmZEsKNCsAE7YqDhxigPuzu7pbzHB0daTgclgWK+4+xkW6cpdpQDyaaGCIDUZOqxJ2QC8LKPCSMdwshJ5yL90HlFsjl7du3NZlMKko55/Cfo6OjUkeee4aUuvHrxF26WMGi3+9XklgbjYam06mGw+GFRZAx5WX2CDlgrNeF0DCe8Th4cl30bDEGvP/HeFQqSHhydgyR4b05cYfcu7fMw5N4r7jdu91uCf0ZjUbF3U5CMsYzxy0Wq92Om81mSUhfLpdlHwZ/F07kaD9JpR25Z2kVHpTjNZFIXCYkcVd9yUYWYrfcIcpukW5ubpZQEYgJMa/SKiaaxRbSTF1oaeW291AY/h0TQeJCE+Pptre3L5wHYuEkmRARJ9we38t9eiwgRom766jo4gpm7FR8xzeeiPGLfMdje2OnQxWMqiRE3o0Cbzfa3eMzIYLENVPqk/NxfkKCIEK8J/dsREKaOEddXKsbw3iwaHevn4+hiKvXvU70S5R5H3tSNfYWldbjtTkP14TQc1/RHU1fjFUopOrW6IxjSkheu3ZN0mpzIcYg58L45pm5fw/hYUzFzU3wMpHrgSeC5ydEBiWee3dVDtc9/R9RAeAF4Foe1sPzQ+p5D1SXcY8C90VVGvcsQO79/TF/cd8uEmAc8TklKoELHt6XPPbdDRqff64a3HPoyravCa7SAp93XVTy0qhRtZUuqtbxnBiPfn/SStRxEYt11g3Eus/Jb2C94T4xUBGs3Du17h5j28U29M+Yk3jueHw8f4x5r4OHJTEGNjbOK9QMh8NKDL8b7Kj80SPHXOreDUQvaZXf5t/jnbunylX7Og9O4sEjibvqd9jzhZxOTSw5E0lMaIMYeLymK2mARdXBi/ByjoTfxMmMEA9XfBm0KMnSapAxGTA5xHhdstL5kVTOxwTnz9VsNiuLOC45r9c+n88rbQC8JJjHHDOJQIy9Y7oL3j0IfMZ3IBPR2+AhP1yPGu7kHOC29AkJg41zuZKJa9/b9arB+3WcIOoMYUgAYWf9fr9CuqRqWBfvw2OqJZXF1g0yX5jc2CaxdXt7W0dHRxfUWVeTncTwTO4p4Hz0T392Dy8YjUaazWYlwds3hIE07OzsaDAYXOhDHpdKn3YS7ISbsoyj0agiBGxsbOj4+LjMWSysUYFmHqC86ubmZlHAJRVBAjLuHjXGCZvCoJIfHBxouVzq6OiostnZ6elpmQfwKHAf3l+cOPBuPOwCg4fx2u12S2gcfYP2Q1HnvTkwAqLn4SrBQxx8A54Yyw7p9dBB4J5PN6h5nzGhlfnacym4lseA089ns1kZ/6wvGP1uwAGMQiehCC4+J/FZDAfxfujt5J+v8857e0Zjh3O4N5778N9OoOP16Mu+HkLKMYr53NdJn9MchKpxjsiBmGeZrz2Z1duE5/XreR8AV3GMXXY8tsQ9DkL/d1zMGXgel+akgcHnrm0mIZ+cUL/ioHWVwsmnD2JXdzmnTxQemhMnIV/YMTgIK2BxZQFk50Zf9JiYPTQHQh9VaIg/zxdje32jJe4xJhHFEByfHLk233VFnYnD36WHJEgqG+lE1QYjhbakbdlYi8+c5BPidNUmqnXP5+3g78QNYfpVHDd8n0XCv+9/c4WLv3EekjEhiJy33++X9+8bcFH3GIISSTnXxNBwxYn+ColsNBqFNFLl4dlnny1eKRJCPTxOWm0WFuegOK6dlKAsE1bk9a9pH8gv9+yqs/8dIjUYDCpk2hVJFHsnD97eqH8+ruM747l5XjxajUajGCm0C17B2M94p/48brS5Ec8xPK+02l2aKliuxvp7f5IR1eFo1DnZ83nOwxulVQIrbew5D5yfudmTJt3r4qIIniv3AMT5gfPS51CNuVc3vKM45M8jrealmKcRRaN1innkCHiEXKWWVgYF4hjeNBfTfIzE5+Qc3u5urMb1h/uI9xqNKLxnLk5GHoIgGeddj5d3r0OdVyHDSB8sUnGvQex8cXLzQeluKCYnjxOVVpUgUDJIYIslHJkAY2w3cMLgJDy6ORlkdaqndD4xs8U7xP3o6EjPP/98xRNAMhn3e3x8rOeff76SfOQuORQR4oSZcImdn06n5bl88a57Ptrc29tVBFz4XsXDJxSuQVvxPSqG7O/va3Nzs5AsSAc71vLeCKXY2toqm/FAXvz80cC6anghpcrHjhuy/h3v241Go6JMef/GgOTYaAD7Bl4Q9c3NzQopPTg4KGN3Y2ND0+m0JI/GhEXed7fbLXki5IJ4rWQ2RqKvQ9wPDg6KojkYDLSzs1Nitd1zRR+KCpf3bUBIwtnZWVHv2eSIzdYajUYZw9PptBBh6XysoZKjtm9sbGhvb6/cN5WkvJqWl3PkPIyX5XJZiLCTtxhuiMdxsVgU4s74mk6nmk6n5bqNRqOMWd8gy4k435dWVWWi989d/mxy5eM2iiRXgWTUkU7pYsIl7eS5AdLKaHWvZtz0ivGFJ0laeaqdeNL2JI0S7oFxybm8coqvl5yLfukKcCTRAAOUY33NkOq9iBwbybBfy0Nl/buSytjGII7zI4Ka54q4aBG9HVRY87nOc3kQ1Or4BFzFz+mhgrQ9bYOo5Ws07yUq+rRHXahU4qUjiXsikUgkElcMURF1uHcY4uahJ3wneh1jKCNGG8QdRd2vHcMd474DeHwh1p7/ASH1sCxUYxe0nETGOHmIrye414leboTUtaMbQvH7fmwk/n5+DzVx48PbChAWFoUODIzt7e1iHNRVzMEARjSgPWhvPFP+PL6ficOPqcsVSNL+YHGliXscXK5i+5bkrvh6g8XSSQwE1ADO6Za4x6HFEndMfEw6vvGM36+71Jn0vDwd5/aJMnoKUKVQzEajUWVrdVeT/blich8Dn3jZ+XxeYlDrJko/l6sAbr1HFd7jf90l6kqPq6Scm+RbruntRrsQC+wJiq6WeBLkYrEoyqknu+HmR5G4CmpdRHyP/LtuYZJW/cbhxyyXy5I/4ePAPV+Mv1arVYkX57y8BxT+OJY9ztWrojhc9fZkL8gFYRaNRqMo4Iw9d9F7KIKHk3A93wzMwz88JEBa5ce4V48EcUC8sVTdsIU+DziXx397PD0kCIWaJFu/FvMapTvZIMfDFyA7i8X55mm0GfOstNqmPYahMTalVb4Q50KR9PEaQzn8vXs4DW3s1/O55irkrbj3E3InreZG+h9rknQxfMtDM72QgcfLe/w1CY+et+LnQdn19dE9meQcMad7Thj3UedtrpuPPex03TF1Xok4v3uYJ2sBfZPni8S5zquOMeJJuNHbVmcQ+LoorXJBaHM83a6m044eauvGlqSyHwtg3olcJvIb7y9XbR18mHgYbfvYEfc6y9o7LgsRcALoC4N3UiYSj7Nz1xnkmckJF/N4PC4ExcNmmDj9XrmeE/eYwMrn7jb02u/N5qo6zuHhYSUJ1uMKuRdCRKRVzD7XJxGMH+6dmHBvW8JL3HUXjZEYLuQucScATESoCh6axP0Tk+7vBuPkzp075Trb29ulzKcnafFMJPBgzHlypLSKCeWZrsKi/0JYp1ihvLnb3Rd53iluXOLSY16Jj6Nut6tXvvKV5Zq3bt0qtaAhGv6OpFUtZ8ac35MTTu4H0sr36EeMjeVyWRI4nQBK1XKIi8WiVF2JcweigG9q5CST40h+pR0IDfKqEq5gcqwv8Czc7H+wu7tbjCXmJSo1DQaDSnUlbyvc+71eT/v7+6UePu/K+wLJcCibvkuuz3VusGxublZCZVBwJ5OJxuNx2TWX8T+ZTCruf8+p8LmGkAtXXT1070k3vulrEHZEFYBw5GEgzO0e9sG7QaziHIxXxo7nP9B/6K8e7skahAEsXYxt5zMn7nUCUCTHsT/6tevmK/+JIaluTHhbsm7GKjUY/JwLIl9H3P0d+DWdC/B/FzKcvMd+7c/B+8G4cFLv3MU3aMO74pu5+X2TrxTDH69y+OiTgMeKuEfXlqQLg5eO6tVWsH6d3LIAsHj7QJJWE5efg2sxcZEI6mq8L+iuAsUJKsZm1j0Xz+MKBtfzTYhcKWFAswi6u9QVR1eymUhms5lu375did91YhInIO6Jv/m/+RvPihchTr7uuuM5PO+A9+mKI6TM64f7+40qLbH7sUZ9zLK/qljn/pV0YUL3RdGVKUml6gQlOt0IBZQvhEw4eNcsjixIR0dHlbyLWNpUUuV90zfY5Gh7e7vstuvJ2W6Qu1Hv463T6ZS+HTeA8XumrWJcOOfymHOpOif490m+Zbww9/jCzffIXTk9PdXt27cLcZdWm7hAPJiPaCMIzXw+LzvVknzLmIyJiI1GoxhjnkQKWfQ24N1J58oh/+adsNGVexw9TIAx7eOa+c89GXUeoaj4PgmoE6wiscXQob/EGHcfy7Qvbeo7GEuqeD1jDsu6ddgTjH0t9Hvg38wf0cMtrcSaFzLC3EgEvhb4/XrokLeB/3AP3rdd6HLvWvTw8N2Y5CutyjzyGfeLVyN6ppj7yGHx2Hfm1Fii1edjni+GG3kiK8AzBrGPlbcSDxZXNlQmdrroMoOUY3W6y4/jfAGnc6MuuPqFsuT/9sU4ZoV7qEtcmKOaW2e512Wnu6eALHKICHWnfXFzlcxLanF/MWSGa+JKPzo6qrjrvW3jxM+/YyeLZJhn9XAKJqdIwNiAZzKZVAibT3aUscNNH40iV2pRFpmcPPnWVRe+/6RPWi9kpLgaJFUXe/+bL5juken1etrb2ysqnStRvDsUcBRU2txDUdyLdHR0VJJKSRLzRYp7cuLe6XTK7q1nZ+c12nH38zyMba8M46EHx8fH6nQ6FZf6bDbTcDi8EJrjISTMOe4pIhlNqu7h4M9xcnKi0WhUykXSZniUANeZzWa6c+dOUbH5DhsteaUpPE9u4DcajVIycrFYaHd3t+zqCiBi3v7SasdkyDzkg2TSZrNZ2V2VZ93Z2dHOzk4h4E5aer2eTk5ONBwOi2eNa/DblXjvi/QVFxsSiUTiccKVI+53ixdzxSEmoWApx50VvV7w1tZWiQlzRQr1FwJSV5VEWsXnoQTGRR1Xs8eH1ynukcjHuDNHDFvxHSo9Ts8NiehS9ThHD91xVSK6HSG30TNQF0PoBoBf00mWvyuMAyfcLMLuCUEJipvcuFIIcYq7SdaV/KpzZT7JC39U7fwdR8+TEyU38urcqyivnU5Hi8Wi9Pl4DKoOLlwPXep2uxXy7q536dzAxg0sVTc3ceJOnouPOULBpNUmbK6oucdGOieTy+WyVGNiW/jxeFyrFKJwo8pDxKVVuVKv0MG98HwQZMg+RNW/R/iMG7xbW1vq9XqVc7vByrnZ94H34SViMTb8vFSvmUwmhYgz3twgo9/gKaCfeKgM7wHjJ+ab0H4ebuSx3Nyzx/xH0cbfx5MYq7suLCQq7m7U0FZxHXGPF6qutKq6FMNGPPwjGvXcy+bmZikX7MqtC1dxPXHj3+/zbnNw/Jzn5PysHx5iU+eZ9zXU12Nftzy+3OPx3Qj388Y1nPvztuP5GaOE9na73TIHbGxsFG8h86m0Gv9e+rPOm4+oyN9dqPM24B14REGMAniSxtCjxpUj7nVwFVBSUcUhHajNdHbIOTFtZGUTK8rmJpwbgjgej0tMqStfuMYISel2u5VBxCBBeULp9xCNukHvKnp80Z6YF12b/J0JAbebu/mcnPB3L/Ho14uhNDwXf/N2IhwJQhaT5bg2vyFNPvHwXWrjQkZ8kcH4cvc775PFh1KYvEufoL2cp7+DqxouExdSFgX6OTkeMdfDjTfUY767vb2t8Xhcqa3Pez0+Pq4oqLPZrLxTL1/KDzG4kEDKMhLT7Qazk4BIRHAJA/qUh5NAcjgO4j8cDjWZTAqBPz09vbBrLOckjp7SiP43D58jH8AT1LkGmzJxfUmVWHDurdfraXd3t8xr0TM3GAzU6XQKoXJPBc/C3Ma7xvCgrZ9++uniLZjPVzuxxnwhSZX5tN1ua2dnp5z36OhIh4eHxfjp9Xrq9/vl+fgcjx/9zOPeeUceRsX8EcPkaI84X1023E2winNXXdiQhx95LohvgoTh5+fyREnGfvTGMZ/z47lZUUADzPF1+RSsVVHUioKTzzuxbZjHCKP0EM267zrR5t48NAsxgvv08DHamHv1hPd4Ldra55ooyLm4xjPEMYC45uE93AffPTw81GQyqYScsj664MLnzEO+zj+Jhu/jgCtN3OtcqFJVfWNiZ6DN5/Oy6Ekr9ddVW4/vpMMz0DwuzwkCcdOuQEcl0ickv3a0fiERcSKJg8gXo9gRGHw8u6uNUd1m8vJBzwQqrTZBiSTdyTaTB8/i54mTnVv3XnEkToTxPfn5mfA8Xthj/Xgv1OV2AyKqkFTxYLJ1Rc/b6Sqhjuh43GzdMRhEhC/Rjr5BjitNbtR6SAyKMEmLw+FQ0+m0jDvpXAXe2dkpqmr0FkirnXNJ8IT8r0ucc+Ln/Z2EUiqquBHhHiPumTnHY8qj6ufeLUJUvC625wTQjlxfqipuJMo7MeDZzs7ONJlMKp6L+D46nY5OT0+LIRvHO+ofBJBEV4wLrsWcSVv7Bln0H76PQUY7MdaPjo5KOJO0quvOvdLWXI9xyvuMYXLcm8+Zl3ks+1wZBZU6ck/fYc51r41UJYbshsw6yfc5tycgS1Uvqws+Ht8d3z/vjrFBn3Tvp+e3+NwCuKe4FsR24pl9TYqE2/9W57nxc8W9RuIOqniumB9iO/FsAK+Ei3OcC35Bft3p6anG43ExpmP4q3sJonHP2ukhcs45/H3UtW1sj8TlwWNL3H0i9oFCp4eAenjL4eGhpBUR4RgW5U6no729PUkqKgULCbHlHmrBbwaVk0yfVFDfmBRdwfTFlkHpioMPUreKIxHwicXbibaiTdzd55a/K6jcNxORT0Y+4XOML/Z1aoorNLyfTqdzIYSn0WiUSZBzsjV7DEdwhYeFhQkV5VaqhijEGF4MLiZ1D+F4kiesOG74zBcB73MoaLSLe2tAq9XSzs5OIVUkT3uCMO5YN6xR9qSVikxiK9f1Os3tdruUkKxbkDkPRivKMs8Uk2UJWeGarjifnp7qzp07Gg6HhYz0+33t7OxUxsje3p6uX79eFGkSX1kMaV9XM09OTkrsvi/w/kx4JDx8bbFYFKN3Pp/rzp07FQXV2+DWrVtlnoM88T7YyI3ndHUfjEYj3bp1q9w3OQOTyUQHBwflWTCAaWvfsM37EMmvtMvZ2Vllsys8l83mKkHQBQdXEH0HZ29bD/+LFasuO3zcRoNRWpVqhRBD2On/nr8lVdcA2pD1jrHA2sG4xhjwYyDh/ln0Envf5BmiKs+YdsO+LhwHb0wUxCRdmJvcgxiN242NjbI7sV8/GtuulOO18vXPPRk8U9yp3YF4hPeQfnp0dFSSVeEDUXRzxd496XAY7yeOxWJVRprwPeYWN7Z87k88eFxpxT2RSCQSiScZdeF7HorhuRzSipx5cQaMaMQiqVoGl+/gQYkqMaFjnoAOqeAzD8ORLpaYxCiMXl/3krlo4IZmVPoh4RgRfh2OQYThWVGvnXCfnZ2V0DAXa2IIGNfm2aMox33wnF5Vyj2UGBMYUNvb2yXM7ebNm5Kk4XBYCS9FBHTvtF/PCbsT7hg6xXXZ3Zh3TR4ObU4lKp7dfyceDK40cY9hKSgIrVarVCXx2K26UBFX7FGLYhIcSjmWOXFsnpzq34lx534tBvVyuSyqgd9DVFN8IvPQFVcDOMbj8rgPDwnwgeznimo96hXHRDckz+zKXJ3Lzt3x/I5xj3ggmKD83l1FQ33zRcAndu5JWsX5TyaTokzERFR/XvfOoFZF1fEqYJ0HS7pYucnHkx9P2AZl3Ih3Bk42UH491EFSSVpkrLLFuC/OqODj8biEcXBP0dPDwuR93fu2u/ddqfV4Usa7L/p+P4vFKq799PS0xMO798zbkt+cI+76GBWvOq8i1/Xz4Q2UVNR+lDz3dviY5BiIztnZWanYxHlHo1EtESDcjHns9PS0fC+SIJ7RxzCeNdz65Ob0+/0LoS7+PQ+lgCT5e+W53Et4mclHXE881Kzb7Wpvb68S8sja0u121ev1Sh/38Rp37qRfeH6AH+9J35H8uqcYMtztdiueK/q0r8Hcg69bHl4Wf6Rqn/XQnxiDHsPofAzGuHj3ntcl1fq9+dznRSxcBfeQS77vxgShSZBkKsNJ50q8h+XguXPPPP0deEEMV9ydV/j+Je518OegPfB6+WeXefw8brjSxF1aLSKeiNbv97W7u6udnZ1S5oz6yb7phJNMabX4euwmE9fGxob29vbU7XY1HA6LK5zz+ODn//4jrQiiTygcHxOveDYmnDgI/cet+Eh+qZrDhIm70o0VzsNkx+D3icHJuBsKMcwiwkmC16KGiEN0nLh72AOfxVhp2pPatv4ufQMaCIVPks1ms7QL5+FaTGx1hteTAidgIJJ2D/fi/5AB+iqLpr8rNujxd8zfAOemL7BQcl4SE8/OziqbO7mBPBwOdXh4WMa1u3id3EPqIQ9OOKTVzqke4+0klPOweNI3+A7nhdwPh0PN56vqUZ70Crz+vCf5OlHgu3HsO8Eg/MHfTRwf7honMc0N59PTUx0eHlZCDpbLpXZ3d3X9+vXybKPRqOKax8gh3n1ra6vE2XttdjdIItnCsGNDK0llnn3lK19ZyAmhit7WkBDm9K2trWKgcS03Np9U0tFsNgtx903FiGfudrtl4zBPZpRUhBDUdEKt3PiLOUtOOAmnYS71EpzshuxlXvm392uPCZdUUcndoPC5iCRrF3KY4z2cinU1znNxXfMwSUmVtVKqJkNHw9/3LcBI8bCjunATvt/r9YoXwoUuwnA8FEhaVUvj37Qj6x9j3NdMf2+ID7xfFzjccGKejaE9iQeHK0vcIzmOMa7e4VnkFovFhTKAvuUygzyquE6IfaLwCdBVCl+o4kQRB0l8gVxvHUmvez7+77+5V090jYq6nz+qqTE5judiIo3kzyePSP58UvaJ2D+XVosEE5TfE+3snoK42ZRPqDynq0+QRc7rSiD9g/dfF+v7JKCOtPN/H0teUk5avRsMPEm17U0SMPHinpjG9308eRIn7Q35nc1mhbA72ecYElajSz0ar7i3/TjCBTBEIAIxX0KqzgE+fn2ceBw1RqYrxV43frFYVOYA4PkE7h3wsVs3x0EafG7yd4rXw8dZdN8TShDFAO4HI4V7Y/zR1h7LT3uhAPq7gExBbvjtai4JqV4wwEMzOBf3xTsinEBakUT6c/RgXBasExBcIZeqXljysHyTMwyd6D1lTNH+tDkiGOEZiEDkgLXb7UpIBnkfGJweS+5J196ffa2o8+r6+unGV917rOMA/rl7m+Ic4UmzLuI5sWWc0Vb0M18j3Fsbv+/XYfzMZrMLFfD8eMYJ7R55BKFCnvPmc6Svo7xLjxJwPuB96W4x8onLhceGuPsCxP/phFFpo0O66uqTOwPNE0ZJaIxVZRiIqAwkYnEeFnFIj3TRVRwHH/cvVSsmxGTRSNL5npP5qO5LK9LiE2ycMCNpd0XE4aTOJ0gn266oudoV35c/MyoJqg/vgLbj/lh4XJnjM8hX9Hzw7ml3r+Hvbe9l7Vh0IAx1xtFlRd2i5vCJP26B7eEbLDR4Snzx5b1tbW2VhCv3bkR3NWPQa4LjOiYEgkStfr9fKbvIRk+UX617P5BDD7WJGzeRxMfzuPEinfdHEi69ukQkHt6HokLnx3n4kBvC8fs+Rt31z2d1Rr0TElfIfaGO6j/vGpIGSRoOh+V4JxvxHqRVoj9VfDyEwQmXh1Uwlj0+m/d7cHBQEps5v8+RECB/Z56MHpPtoqqZSCQSjwpXVnEHTih5SMiAtJrwOcYXP49XQ/WJJe+kVfKHx+HWkWkWc08ocVXI3d9SVZF2BYzjfCOkdS86uoGdIETSwOfxXJCH+DdX7lj4PdxHqsav+2Lt9+MLOMdgAHioAHCDZ527jr/TXjyrhwtEVZMFPLrPIXeQr3UL/JPqcndlGQIHuY2eJ1ek/bsc45/xnr1uOqQeA9WVdg8DcbU2uoyl1WZD3KePYyeKkETGJKFQ/ux4XJzkuUDA91wx5L6ZZ1xhryOq/vzex+qIe536WPeZ/82VxHg9xA2uWbf5mIdNuNhBG/lcQgUeD5vye+RYDECfK1yxx21PcqV0TuKn06kODw+Lah/jrv3dRA9O7Jfevpd1/K5T3X09c5GBOdp3sSXx1D2drvYyxggXc3ANr93vcekYTV5xip91XqmoHq9T3DG+/Dv0L1/33dNT104eKultyhpEeEg0mrk/+k6n01Gn06m0u7TyShEqWBeG4gbnfD4v4iJVuLzP8uzHx8cajUZF3MAw5XmiKODjmnmU6/p86/dYl1/m78B/Jx4Mrhxxj25gV4GBx0+6yz+6buPk4xOhu4mZsKSL5IR/e4kyVGDclD5xeS1xvueuMk8wYTH3RJn47E5o/N/xO/73dcqruyTdnehtRI6AL+zAXeAeJhAHP89NAhzt4ztHOmnyic8nXCcUnN8VYDwpvFvUQu7dFzriZXlHfp4nHf6+UZR9d02pWusXbxM/PiY8vGY0GhW3ekyY9BAZFl6uNxgMtLm5WUhEp9MpCxZ9pdPpVDbm4vosStKqBChkAwMczxDPxXHcPxsS+WKGQtxsNovyzmLP371/R6M9GqC+2MbxUdfvPJSLa/j13HPmc1xUxc/OzjQYDCphZpJK7XQWed+Zljh03lO/39czzzyjjY0NHR0dle9TmpF7ibuwxnA6Ns6K+Unutdnd3S1lZ3n3s9msMu+7weHzRpyj67x/jzPi/frnGFdUJnFjDMEDT433RUisVBVdGJ/RQIbMQv4JmXKPlJdQ5Tfj0HdNllbjgD7iJU2lallF+js/ce3lGf2+owDEeTi/z/mxjd1Dzb1xHYQdnhujPV6POTTOidKKbBOG6eWgnbg3m82Sm3B0dKSbN2+WdSuGLtJGdR5N+ggg7HA4HJYxxOc+J/tY4jnSW/VgceWIe0Sd4heVQgYSE4THcNE5qSriZFm6uLC6auAKIXBC43GqfJ/Fz9UxJop4T9x7VPJ8wV4XelPnbmeBd8WqbnHzhVaqbprDYkEbu5fD25WJ9G7P720bJ2EnNt7e8Z5c2eGaUVXxCY/J2ZV5Fn4Pg4AoXMa42HWInhTg/c1DHuq8HahAtKkrqtH4hej64sh5UZ64Hn/zYyAc/v48VIoF1QmDn8f7m7QKVXPVnf+7WhU3U5NWxJk+Tpt5eAv92cfsOqWcPhZDkfw9xXe3btzyuY81P08cf7w/b2vf9KjRaOjOnTtlJ1YPWSHczA3oeD/MZ9xXDEODaPLeXWSAGHkuyjpPQmwL5iZJZX8IEmY5x70umI8T6jwFGLoo691u98KmYpBDjCLaH4OM/uzez5gPAPn2EClPyuZeIOruiSJZ2Od4n1Pw3DQajcq6ynzuzx0LFnCf/N/LIUYsFotilHLddTkmbmi72MAz+1zibeJzlnv/+b6kotajdnMfJKt7XsHTTz+tV7ziFWUPhvF4XOnz5KPQP+qEJlfa8Rb0er3iFcAw4f4o5uCRAHVCQeKl40oSd5/QnbwxGN01725YaZU4Jq1cS0yAde57XL5k0TsZd4JLaItb7K4mStUSZSxMfj8c41UnPMzHreqotNMuUcmLf/PB723pgzWSLe6DycU3lXCy7rGwTtyj8cA1mKD9Ob09PUaXBT+2C8/FpEsCHeep6wMxNAFVvtPplDYajUaVZEW//8s8gdUpeE7afeKWqu5pwAK9t7enfr9fPo8G29nZWYkNp/17vV5ZwFB6yFdwIxADARCDzmduXLux3ev1CjHxDYU8jj4u7vRXxid9KBJDyHE0tPkdjXVv6zrSGVWtmBTmxm3sc3XvcR3h9/vDRe8ExWPAud5zzz1X5iXGWr/fL5ug3blz58I18abQP0gI5jwnJyfa3d1Vv98vJBtiSP+ASOKJY7dY30HV5xgIPfMmVW64b64b35u34eM+nuvevc/bzM0+ZvEQuQEE2fc28opM0kpAcYOSvsM1PJlTWuWU+UY+UbTi3HHdcKMOIBzczVDj/bvY5Pfkbebj0dcLzgWBJpQmzvsOxlB8J77m+PzpvITPPH/O359f4/j4WMPhsFI1yUtGeruxVkavnHsQPGzPvSK8v/iOPMTYcdnXv8cFD4u4Z12gRCKRSCQeIuq8kFFUgZRD8AiJwAB18QSjCPV1MBio3W4XIzGq1n5uBBDf7Rsv9HQ61dHRkUajUTEMIYFuOEAIEaKIvT8+Pi73u7W1pW63WzZ8klQxLGkP99RAwN07V2fwQJ4xbPAIYEh2u91iNDjZdaIMGXaRw+/HvSExhJdwGvJ83IhHMJxOp3ruuef0mc98Rjdv3iz3MJvNNBwOSyncw8NDjcfj4hGJG2Bx3zwrXhDCnwgNJYYeAcsFnNjXnmS85z3vKX2an//1v/5X+Xur1dL73/9+3bx5U8PhUD/7sz+rp59++hHe8QvjsVLcQVTEPDzGXfnE5LqSIFVDXzxG3SseuEsrTqIeTuMWbAwl8e/5tX1yiKEyDNa6cAWuGQdUPP8697oPxvhvVwHvZu1F9dknOFcJ657fldkYesD7q3s+P4e7v13JQfmXVhUzUPCZ+PmMSdVDndxNe1WAYuWhQh47DljQPLTIcx1QW50o+HvlGBYT+lCn09FgMCjjyTc8cw+Uq+XkInDvjL+tra2KB8uT71yRjN4r92D5OaXq5mJR1YqKNr99XEV1xZU//h7HoR/rbef/rltUo0oZr42a54q7e9loG+rfSypeDBZ1QhPoE9KqGgzt5puYeW115ggPT3R4dS+IRlQ/IUYopMTl0v9oNy82wHV9PnzclcM6D1/0NDOHklclVSuUefIlbe7kjrnTPZZew9vHhYfGMUa4pzp1lu9HxLFRR8C9+hfX8/CuuD76GsB5We9d2Wa+8uvhkYM4x3W3ziscnw2PhKv/HsonrTYg8/5ad+98xjhxbwnfcZLOO3JDifuGpPMd9kzw+Y1757M6r3uckx73sfNi8T//5//UG97whvJ/n3t+8Ad/UP/f//f/6W/9rb+lw8NDvf/979eHPvQhfeM3fuN9X+dhKe6PHXH3CYyO7a7UTqdT3Lo+sfjmElidPqF7dRGpSgQjIXUSwXe4LtfDinWw2Lgx4ZMuf1+3wERSfLeXW9dO64i7n98nU54VF6y7CmPFHA9hiPA241mZUNdNiH5/fl2fTFGZvLKBtDKgUDG498FgUImxpWwhP65e1BkdTwqiweaLfExA87hQd6NDlqVViU5/N6h7nsh2dnamw8PDMi53dnZ07dq10rY3b95Uo9EoiVyEZkEspYsx3/wf0i+p0idIBAMeLgcYixgvvpFXJOzefnw3wsm8/70udjSSiaiwvtA75Hp1840fx7WiURZ3ZnQhotFolCRI7p/QFo8bpk60zxe4+rmGJ5NikHnoHeQGsYW5lRAaabVDJoSDuQfV1u+r0ThPkmXuivPdZRzP/gwYSZPJ5EKyKAo5oWPsZMpGTW4U8112Io4JxU6QPQSR683nq3rjHvLl/cjV50jU/RjmIu7Nw1mk6uZjjC83JByxyorn5HAfhGv52uXfOzs7K/fB2OU5fa1zAaROSOJcfM/VeowqabXzO3ka1Hvf2dkpuSaEJlFq1wUsno/EYP52fHxcDJToCaCNfW6I88iTTNjBfD7Xs88+e+HznZ0d/d2/+3f1nd/5nfrIRz4iSXrb296m3//939fXfd3X6ZOf/OR9XefKEnepOvi9k7nLir+5Kl632EFUomssqvR+PY/x8xfhC/M6xYHjIsl1Ms4gjPddF3+47jrr1JrYBnX3W3dOrHivAkAbxHbnHHXkiAnL3XNOZuomYRZp7sPJG/fqhNxdla4u+PumPUlW9RrUT+okFd//OqPO+4WrSJIqhhzthFcqJmeyePA9YmK9hngcC25kcwz/5t4iyaRfRsXRjUr3csVn5JniAub9wdvJxQJvJ1dEo2Ll3/dniMdGYr0OdUZ93buN4zoaok5M4j3QtlTR4H04QYnf8TmA8egE3T0TnijutfI9RnedIeN91xFFFu6pzltyGRCFFje2pWo1luPj4xLS4nlBEE6vhITh7RsA+fzraj3njGo3lcY8OdW91oC1g2u7Sg3cK8O7ggzXeRIkVYirGxjAx2n8P3M+fZv+HStqeTEE5hvvP57cyzig/zpxxxidz+eVXdS9PanC1Ww2K0KIl2GmnWhH2sRLWXNdz9HD2PE2YP3b3t4uhrL/Lfa/yzRu7hd/7s/9OX3+85/XbDbTb/7mb+p7v/d79Sd/8id63etep+3tbf36r/96OfYP/uAP9NnPflbf8A3fkMT9XhEXnmgdEnfHIIQs1FWVASwQMZaOQRGv6WSQyZSKFBzn13NL2ytYRHUL1Y8B7NtGA4gUMXp1C30daY5u/KhYRqIvrSZKrulhRD4Ru+XuE1gMOXDljYWjbtJl8XZXHpMSz+L35KRCWlWT2dg4L4HGxCWpbPDDcShzp6enlQz+OgPnsk9cd1Nw+XtUjjz0i/fjidjSKoSBBeDk5ESTyUSTyaQotKhIVDXodDqSpFu3bpVxw+ISy6VRP1mq9n8MMZJgUa4Wi0WJ/5xOp+XfvuhGj07s01K16ok/qyfQebIb164bZ5FsRULBsW4s3E15j+M+qvl131ln5PPeec8802w20507dzSZTMpzU82E94cK6nOOl7/zZ9/Y2CjvIs4p7EK9vb1dxivxxPRFruNEUTpXlCFc0+lU4/G4oqYyx6zzCD6uiP3IFWniwBuNRpnb5vPzqlmDwaASQuR7EXDcaDQqMeWSSvEBxiveJ94b14nhS9vb2xoMBqVPT6fTklgMiNN2FZp75500m80y/uNzu3HM87N2+nojVcU7SCr93v8dhSjuIfZbL1rhO5n6fOShOO699f7mBhFjiHWed7Czs1PWIUKXYvx+p9MpYW/OKbwsKM/N+e/cuVOSkfmOv792u115zrr2v+xr393wyU9+Um9961v1B3/wB3rlK1+p97znPfrYxz6m1772tXrmmWd0fHysw8PDyneeffZZPfPMM/d9rStL3KWq2sJAlla7n0YF0UNTpJXLNSqJsaqMu9f4vpN7hy9gHhIjreLAnbhHV7qreq48oGRKVVXPYzf5PnAjxImoK1S0nS+q0aPgKrrHiteRck8+4nMnLY1GQ91uV61Wq2wzTzmzGAbhSoqHcXi7ce66UAaO94StRqNRJsOoksY4/ScJ/g5in2eypx/4d+oUF6mqQtFWjBU3uKLyFscOi9zR0VEh7pyHdw6J9cUVbwr34CEVHMc4Y3HmJ/YTqVp1hf9HVb5O7YzeCe9T3oY+dmlTDzuLinudMe4LZ52hHVVnjqv7LH7Os3vFEPcocgxhDXFHXI999vnYq8HQZ/w+Yj4J5KPValXCbuqqfESvWBRh+D73Fb1v97p4JhKJJx8f/vCHy79/93d/V5/85Cf12c9+Vt/xHd9RuzHZZcAjJ+7R8nPywQJP3eG9vb2i0rliyyISSYgTBBZ3n9zjYsaE77GbTlRcWZdUMQJc2YoKgT8rqoVfEyWRJBUWUlcrfGF3EuquL8gs9+5uPidwdFbKUHn4g98XIJTBY1BjHd/NzU3t7e1pMBgUFbTb7arX61UUVw97cDXDFWB3R7r65pUIUBsoPchPDKmAjKASxRCIJ2GBp/1pS6+fHhM4IVTet9gsxTcRQ12XqvXCIfCxHjo11HlH0+lUJycnunPnTnn/3Af3Stwt9yGdq1K7u7sV9y8eNTYF6vV6RZF0UulwkhyN6Nh2brw7iec8/HaDgvnD48Px3nlYVjS++W6d14ff/PhcGI91td7fjz8/7xRl2yuGSCsjZHt7W/1+v7Q1ajbvjFKfLj7wzv0394g6ubGxqmG9ublZVMg7d+4U5TzeN8dyPpRQ+tBkMinhcDs7O5VQknXE/TKM8Trl3T2L0qoeN4ouZTcRLDykhlKcrvz6+PR5NgpJbpC5t4bP8KrR9907TNtHwy0aaXhmXd1mLtrc3CyeNkkVwSV6f1wZdzENA5R1wze08vUhChHRw+bzC+uLl4f2Y2lXH7MugtGPGWOMSz9HXNf5Wxzb8J5Wq6VOp1PZJM3nwujRjgq/v/ergsPDQ33605/WV33VV+nXfu3X1Gq1tLu7W1HdX/GKV+iLX/zifZ97XZRE3XEvBY+cuNehjsBLVfVHWj08sZRO2JmknKRwbr7LYsZgpvNDpNvtdll8IaNOCPy8PlidRMesciYwBq17FNgQwlVnf36+z2Tng86JBW3ik78n8MSqELTHOrWPiQ9C6IkxtCltiYu90WgU9dTds6enp+UY3pVPfOQjuErOhBTVOcIzogHhsfAxDCSSJt7nZZy41rnaXQWOans0OhuN1S6HvIuoqLL4EWu5vb1dwo6cLLHQ08f9vUirPkmbs5Mp/Uc6J+54UTY3NzUcDouh4HkXMZwCIhIJsE+isX9HLxVt5qEyDp9T8JT5s/EbkkuSmRNL92hwT/7b363/jsfG78U+zHM56Vk3n0B4nBzFXWqd5MV5lfnMvY5O4iWVcnx+z3WeU2/rutAj+hjzGe8ihhJdZjDvMd4A8yu73+7t7Wk+n+v27dsl8V5aeXwajfMwQXap9dAlvKJ8zzdV8z5FDgT3wloQEz7pAzGxEzjx5bxOjiWVxM3t7e0S8sh91nnMnPDTL2gD7zPtdlv9fr9SsYh2qitaEMmv/7tuvHk7cG1Cw5rNpm7duiVJOjg4qPR1xovv1Iqh6t5MElkxXhGnXFDb3d3VZDKp8CA4CNfxkBmf230Ovwro9Xp69atfrX//7/+9PvWpT+nk5ESvf/3r9aEPfUiS9Of//J/Xl3/5l+s3f/M37/vc98olLj1xjw8QlaSzs7OK2sJiHEmxT9ZM7EwQMY6N66CeP/3007p+/bqee+453bp164L7m4nJy9T5tV1x5/9MgrEyh5f3ggzHWHmv0xsXI1/sWJjXuchdqQe+ILqrmYUiWvuRDHK+qAhw/6ikPO/x8bH29/clSTdu3KioRygQsUynP4NPgn4dchukVQlB2hTDwDckaTQaRQX257isk1VdSIgvasCVMlddY2KV5xD4RiJ+HpTZfr9f+ozHizO+CInwPipVt2D3eFLvvx6X6oZ1DN1ByXcvgT+/k0lvrzpV2o1uFkKOY6GPCXnchxMF5oX9/X11Oh0dHBzo8PDwQsK334crlf4e/Rrr3rWj7vkY0+5FQKXj7x6KhIHv72w8HmuxWGg4HBYVlVrcXqLRDbeo7IPRaFR+fMdWV0k9BtfnHdrO+ylKKf2gzvPwOI9vJ1nrxJJ+v1/pP9RmZyzh5XEiHQ01vB1S1UuCqu1JlbGUJ+sRRpIr3Yxl92y9kNEUDepoXLtYh9BTF+LImPE5yo9zQuox6q78s7bcbXfWeN91fYvn9mdjjcL4kFQ2zqKN41jlXNxH7P8+/yEwMjfifXHvqofuMRd4sirHXHZD94Xw3ve+V7/wC7+gz372s3rVq16lH/iBH9DZ2Zl++qd/WkdHR/rABz6g973vfTo4ONDR0ZF+5Ed+RP/1v/7X+05Mla4Qcb8b4qTmseUeG43F7S5giIUnm3j4iSs3g8FAe3t7F+JkfTB63WgsdyeSwN2EriRybSf8cSc5V7W4fl3MLRO+K5zRjR3brk7lk6q1dNd1uqg41Kl9tIOHUGAs8f1er1cmm9lsVhKo3DXPxMf7cm+KG1Sc38OOvOIC7cviNh6PK27SiDiRPq6IhpwbjHWLIG3pk/Zisai0N229TgkFvmh7aIhUdclC3DY2Ni7UbZZWhpaXmeO9kPxGn66LgXYDkfvnXu7FTVnXdu5x8GN8nNd9J5Ic5gpCFKbT6YV+G+cm73vx/uvG5LpxGsemzxHR0+Btyb1wzz4n8R3KrjLHeHUO7tvJNWTIn2s2m+nWrVsl9Il8h+jJ8xBGbzd/TkQQnzMvw/gFTtqlKsnudDra2dnR/v6+9vf3K6GNkoqnqtVqlRA176eMhUajURKP6Wu3b9+WdG5E+VzrYTVuwGNgQfTjuJUuVn9y4crhY8zHAMednZ1pNBpVxCj6r69rKOtxHYvty+/ZbFYx0H29jep93RjhuHX9i/v0df+F5iHmSv+e9wNvM35zTnJQJpOJzs7OyppXd03fkMo3afLnrJvrnyT8mT/zZ/TTP/3Tun79up5//nl9/OMf19d//dfr5s2bkqS///f/vhaLhX7u535OrVZLv/qrv6p3vOMdL+paSdwTiUQikbgCcC8DITHdblf9fr8ijCBy4A2GWEMCpWr8+ng8riSBHxwcSFIRTTDm+d3pdGoNUwigx1IDD2v0uG83uNyDwvVi7pJ0TkpHo1ERbTwhned0YxCDzcm4X5N7dwPfSSoCgxN6PuN60Sjwc/u/XZV3Mu9A2POwQdRwScWY5X7q4u55zrjhmv/mGN4Jx2KoR+L+JOPv/J2/c9e/Hx8f653vfKfe+c53PqQ7eul4bIm7T2KecIkbF1XCk0W8MzLAsbJx9eEiYvBQiu7s7EzXrl3T7u6uhsOhJBVl6OzsrFK6rtfrFbeXtNpACMWZf69TDBm8o9GofJ/Pl8vzZFUPCXJ1i3O6Ku+hLzH5CDWde3VFn3tErcHN7RMpx/ikHBOEaPfZbHZBMWs0GuX5ptNpxcXaaDRK/KG77z2ZjioU7gb1a9AvGo2GBoOBdnd3K7HQKE8sTB5jXdfnHnfVzvs4C1H0iPh7YQygAne73YpaJq3aDxWb8nueLzGfz0tcu6s3MemJcYcb3vsnISjD4bCEYEAoGJeMPYgCG5L4PXtVEY/Ljapr9EbUkYnorXC3Ms+FIuljh7b3sUk/nUwmajQaJW7Y4+CJOSXsz9+pVA1ziO983f/v9ln03nmCdiQaqLdOXJzQeBy0x14zH6Gio7gTGy2psukM8yrvg7GP14fvDIfDcg6PH+Yd0Q/Wkas61HkdHxd4f6SvoZZKK6V9NBqV8eXhQr62SavShACvh6QSIsIaS5iM50DFOd/DTus8Bt5nmD+cZEPcuS/mFS/O4BWonLRHRZp+GddCv5+YX+ahodLK2IneqDj2/Fyshb6O1XnF6Z9181Zd0Qm+y3lpG99tGrjB4+fgu7Gev8e1037R2OAeHsdxcZlwZRX3Ous1JncxuBjAEDlXHIj5YmCy66lPbkxax8fHGg6HJfveB4lb+h4v6nGDseJMJBPSipwzICHgbnCwCLmrM4Yx4FaLyXh+LPfNxOaThxsTXMPb0pOPgH/fXXz+zjw+lnPHECZPOm00GiVhirq9tI9XxGFi8rhYwOLGe+z3+9rf39edO3ckqUIO15ULvKxwF2edy12qloiE3NT1EycLTop9gaPfUL+40WhUNg7hPVJXn8oJXnkF0urlEukT9BEWKYgfCw5Jcv6MkXSvi/P1trnbZzwL45jPPcTISYs/m5+TcDFCP/xeIgHlXqNiFhfRe10Q6vq3h5N4ol8MZ4CYLxaLSrULD0n0uS268ReLVblPFEHaJ8Yp+7uPxgXzKoaiV8EgTCYapZ7sWNcedUTzcSApdX1SUjGkvLoKFUlGo1EZE8RuM174LudjnYix4m4YMB6p1+5x8PQJqbo7qHQxPIW+gkHrpNLJJe/Tj+f7MextXSiHj3k3jKNQFkNs3Ajkut4v+TvPSH10H7cxx83XPT+Xr7+0H/3ZRYC6fuhhNBjUXCOux5yL5/N8nDpBI+JxGAdPCq4kcWdRoMPHknNYmWSdS6uJ3MlIu93W/v5+WTjn83kh7ljJvsDfuXNHzz//fJlEfPARz+5Em22ofTCzDTGLMN/x+2cyQymBAPnk5tUZmMjceGGBYnHzBD8HEzATMxVxiC2kvVFigVeE4DyRrEQ1A4UApRY1h/v3HRbxblAZAULmiW6oP7EOPJNV3UYh3NPOzs4Fj0mj0dDR0VFlk5465e0yTmC8+zqDEgMIMuaqHMAorFuMWdji7ouLxUKDwUCDwaBS6hNFlY2RoiLGGO12u8VgdrLB/cREUwge9844dtU1uqbdSPNxVAcn4ZwHwomCTNnRukQ57t9JCIYi5EhaLfruKWI81JF0X9zrrnc3okp/8HCCON9EBc4NEyf3nU6nVPvg/MfHx5Ukey+nxw9KMP0Dr9jGxkb5v7v7md8hRtx3XXKlEzG8G07E6gjLunH/KFCn7HLPGMgQdI9tl6obYNEGiE7SipQjZvDu8BxLKvkX7iEmkdoVYs8T4n5jP8ZI5dpSdZ8PwHh1z5z3cSq7ULDBxzPnZ02LSjvzfAx3oS+5V9nV7WjIuMjE9dzAdUWcz+rax9vQhTKvDIQY4M/JGsUzMo/EEJjoMeVYN7Q6nU5pa9Zj2s2fO/HgcGWIe53iwETiyVAc0+12SweM5RmjKk2YCbuX+QB05f3s7KycS1LFdcd1WfhYnHx3SBZzH2BRcY/qRJ0i6G3CczNInbiz4EcjI54PsoMRxETm9+jKqpO3da5nJkSfAH0XTL9nV1b8vaKUxTrE3k4+yUZlkPNwnzHUgEkNYnh6utqtri50iXNeJsQJgvaJihLvgIV7NpsV8iypkowW2zgq7v7+IAv0P4h7DF3zxZQFHyIIMZGq48EXSeAEmP7DOfmeL4B1Cqs/m4M+5gt53d+4Nze0nSi4IV+ngHnyGs9Hu9LWboDUKY11z+b36ueO4wZ1MnrpJF0Yp/4dzoey2Gg0yhwoqfQtJ2L8n3mWPSMg4P6+vIwh4Ys+p8b7hDzxLugPPnesw2Ub54lE4vLgyhB3hxNwyLlPyGzF3e12C4lAmSWpRVqRcRQ0SgQ2GtXtozn3/v6+rl27doEwNJvNilvff0j4kFSIkLvGsJRdmYbQePlCJyEof/4diG0kJNyTh4v4guVVPvjcFQ+O4X590XYDhLJvcTtoDxPgbyhDEPHBYKBOp1PI1dHRUXm+k5OTUqkCUu33OJvNdHR0VEgjHg3aiVrfhGhsbm5qNBrpT//0T4viDklBafZavZcNda59+oKHMUiqkOH5/LxaCG5w8gcg7r1er6ibtI1XGZHOiZmX7MSDMxwOK/2Yc9AfIemu2G9unm/oQ9+jQoKrUrj9KVXndZY5JrYBxNMVPw/rcLhB4AZAXfiGfxYJoXvwaBfaEJHBq334/OKesrowgLgA+P/vZoQAN3r9/cTrMf+gSrrbn/OgOuIJQxBxgcMV7xjOJ6kkHCIc4OnxsASecTKZVMIaXUVsNptFvJHO4+CPjo4q4kZUTy8TXHUfj8eV0CZ+Ex/uY98FGQSm7e3tsnkWeVM+92OAsQYMh8PiKeM8Ozs7JSQuVvdxQzXOPYSi8p5cgPIyllH99fWPyjEIDtJ5P/J1wH/79XlGDMF1zxDbPCruzhMw7L0P0w4+dqbT6YW8HK7j3hFCe9y499Ac93w54nzJdZgrERTJ3/Pr+3zgnyceDK4scY+/XY1qtVrqdrva3d0tRI4B5BMcSZDtdruy6QILpqSy0KDG93q9Mli99vpoNNJwOKyErkjV8kyQ2ahS++CWVm4zj/PmXH58jOf0wevX8ZfPZOITj6uvTsj8uq5SAiYO2pzwmuii88WUZ/PQGvdISKvkVSY3zusxeXgR2CGR7/oiwD3RXiibJycnOjg4KPfI3zCkeIZ1iuXjinWqK39jQfKf+D3v0zF8CYLFQhJjRz1OGZAX4ojGA2FYHj7iJDiOcz8G4k5yni+qrkjH54xq+N3esxurHuLh53YlOhrH/B14IiH92MeSx8n7PfiCWpcwx3F1BN9/r1Ph6zwJ8by8u0jc3airi0nnGNz1hP64R422Ydx5m8RkYfdqevs6KXcixXcuq0Hu7w4xxMeQ523QT1yQiaEWfM/r2uNlYy6UVl4hCDTrpdfn5/vD4bB8Dw+dk0r3LtEH4mZHkiprCMZYTGB1kcz7bZzvfDx4v6/zFHsomBuB3Df37vcZhYQoGrgRQNgLY4cEcNrUY9zPzs6LUsQ5muckPNg3m6wbkwgvzB9ei973KoHj8DnvhnfsoZSJy4PHhrg7mXIy4spuu93Wzs6Orl+/rsPDwzLAcLn3+31JKskxEECSfCSVbbZdeWYRQJm9ceOGpPMNgw4ODopqy25uUrUGLGq/u3YZML4lOr9R3BnIno0vVd3TKHYeb+wk3V3I3BftSTs4CXA13WMAPcTBY0pRB/BWeJ1dn5RZFJxgMUEDKsTEuHzUSUnq9/tl8XZlxbfYxrhBteDYGArUbDZLHWPvW3Uq7OOMSOD47YSL9sEDBXgf1PyFlDK5E+MqrRQqV3GkVX8k9px7mkwmlYpPlK87OTkpG/b4OOE98TePy+QYns+T5nxMcUwMX+Ge4mIelVc3vvmOh1pEYsmCzPUhsrGvY2wQ3kcfjWPP41Ddm8WzuYoJYkgYRkl8Bn/+6CHk/TqcqPtxboAR389zM59CAnj3Hjq1WKySVFFKvQIK85qLCdwz74j28/FMu6Bm4vX0/uD3X2cAPa5oNFahnW4MOjCGvZIRz+jzLGOOOd0Nej93HFd4sz23ZDKZFOGKtbjT6ej4+LispZEAuwAVCS9jh/UxquUecuqJl3VjmGuuEzZ8jDDnR+GKZ3LhwvuMz1PuHfB2oy/6urxcLisVlqSVKOHnQtxwLgE8NM2fP9Zsd4HPPU/Hx8dFlMSgot29Is66NkzcP66k4g58QLpqzUDAmseiZ7dGFF4mbQYcVS6ki3VeWTx8owKuNxgMyndxEbMoeHIMExyDg3vz0oos1EyeLH4xWZD7cWXfJ2vfRdJJeF0berKWqytOgNxN6AksMWseMojl7p4BV/W5f857cnJSJgkmcgwEntOvxeLPhMfkRYIV54mkw2OCowcjujqjWnMZFvY6REOXfkI7uREHcfL+K62IO23j6osTblewqeLh6hUki10BiXl3jwpjkRApfyfuvXK3ui/a3m9jnkUkrrzXuomUa0UyDCIJ9D7i483vzVVfFnBCgXws0/+doPmYhNASQuTvN94/363rw/7cTmzrCLp73hiTfs/+nlx5Z04gdMMNcw+FkFaJh/P5vPRTnyu4Z8ashx74e2KDLjce/Dm458fZQHeS5N4cjCTfRG65XIW38DmKqSfqOhljbMax4+p2s9nUYDBQo9GoJKl6jXb3TvL9+XxeaX/u0duaed+NMq+85kZG9AIA3ifrUgynulv/jp/5PdE3OQbhJ84j0eDwNvB75BiMbzcquB7P5aVY4QHRi8e18ZJ4wnvde5GqnmUflxjcMU/FBT9/5sRLx5Um7olEIpFIPGmIyqaLDE7c8XAgYkiqhH7G0AYXrra2tjQejysk3I0v/t/r9dRut3Xnzp1yHOINgCBCcmezWSV0Jj5H9Jh5iJMbt4gALiLEeHCO83AhSKuLEm7YOgF34o4R4ZXq3Ohz0s11OA/wY7z9XWyQVh5hFz78N+8yhsXyGyMjvmMXVFD4vUAFpJ9zei6gG4DriHuS95eOJO5aWc2u7M5mM928eVOLxaIk3CyXq23GJRVXPe4vPvMO69auJ0cSqymdh9W4iyla2yRncS/uOiZe0OMAvTTV9vZ2pSSatCr35S5HruvuS/cU+KCsS7yRVpMBbkGfKJfLZZkkXI1ATRmNRiWmnGdCUfDnRWWdTqc6OjoqO/adnJxoMBhIUllYvP4w9weY2Injw9PhcX4eIhUTlXgeniHG8j1JbsG4uLFQ8/yooCiqvEOftI+PjyvuWWmlzvlCwyIcQ9hYNObzeSm5SeJxDIHgvbkS52516XwMkNsQ45Y9pIwFKyq2rpDF0JH43p08xLhhz8vwv/kzeUiNx/PTX70OPeD5GftRPWu1WsWFXkdQ4jtyZdsJTjyOeScqtXw3hgcwt7Hwt1qtUgKUkCCfr/r9vgaDQVF9p9OpptNpZSx6VSf3PsaKUlQdoj8z/0ireGvuGcLrIV+XKUTG4aEi9C2fZ32+jqEbUTV2j4Mf5+8DBZ33iSruSq6HhPFvL48sVT1g0evqhD7ukeLhZNJqfvA8G54neuR8LDSbF0uqAj6Pe61wT+7Vw1jye/Sxy3frCLU/q3sRndB7e7mH2+cRNsij79P2/rweVugefsb4zs6OJGlvb68YWrR/7A+XcZw8zkjirmotYul8gJCx7cpEnRsLouHJTU7cGSzNZrMsKigaLEgHBwfleh6TDiJRh2AzIcX4Pa/G4BMuxKmu/KUvrP4ctAsGCQutTx48I9+HVACfICKh5TmZ6Il19xrC3KfH5zabzZIP4DGE0vmCvFisdu9j0vbJksltY2Oj7FIL+aQNIHanp6elWgUqVLPZrNQ9dlLqi5mTvcuCdWqdEzdfVDqdTjFmece0pS8mLJQeWuTXguyxoY5XFvFyf7PZrCw29OWY9OULGvcdXdpO8N3VH2OYfRGKYRHrSPu6NvRx565y6pX7POPHO3HnvtrtdmVxBnUhQLQ15/UYVI6vI6KNRqMSbuNzAX/nvJ4TEkmPw0mGG8mQ4v39ffX7/RLqB1wdxAiKRkt8Rj7jvuhnEAwIPfcbyZTPiTFM4rKQkahs+1zv7eDhJszX0eByddv7FMewdvkmdsvlslIxajweV/K44lrhxqoTd56Fzxm/Pq/zPJxLqubUSFXizjiJCjdjJ5LkurAo2saNEYfPIf4M6wx8v/e4VkYPAkZBDKnluy4IMi9L58SddY1xxdod78vDythnQpJ2d3clSdeuXdPBwUHJUXAB0DnVZRgriSoeS+LucWLL5bJMNrdv3y5khDhst6ghbGdnZ0XdjQsuYFKEqNCBqWYhSc8//3z5P5OaGwmu3u/s7JQB564uX9CiAjocDiuxrFjPMYHIDQZfWN015uXZYjsC7tkNDiY3JgDO67H5tMvJyYlGo5G2tra0u7tbrgeRRr1tNBrq9Xra2dnR/v6+9vb2JKlsuIRXA4UfoiOpbBfvMYD+PNJKreN9LxaLyqLmCXH+4+X6LiOiUVcX1xtjoYmVlFYLMZM4x/DbFzKPldze3tZoNKrUI2e88Bkx7dyTK0Bcg3dLP4MMeP+G+DIu4hjye/Z36UauH+MkLnqKGIdRMYuLclyQ6ZfR1T2ZTLRYLHR0dFS+Gz0C9Ht30/t7hAB4Urk/F4iEn/tzI5p74zkp00pbu0ESSYGTDI/ZXy6Xeuqpp9RutyvqLQY7fQPSTR/yql0eg41i7v3q7OysIpjQXvQz95JIqhie/v4ex3Ee1VPvc7xnb3Np1ZdjeIpUrYACXMl2D5HPDZzP1XHuI6rZXIf3h5fH29mJvRvUfl5vAzcI6Ueu7kdxJZ7Hr7WOtPu4ps/4+se6H8NGnGx7sif3EefeOmHNc0HinA0XqCPj7kVzMc7vkfsj5yEWtwC0q+ckuXEf2yvx0nHlFXcfoKimR0dHZaL3AeZKkbRa/F1dhbT4Iu7Xwgpm0ZBUWTxYQCAjTrCpqOE1pz2hRlrVTI8EiYmK+2BBYvDfjbhLWjs5SqtwIEIaokJOe6C8eFKjT25cl7Zm11MmFiftLLLb29vq9/va2dkpFWOoeNJut0u7ciwTJcZRr9crk1KcmFnYfOKM4QiSKvXbXem8jCoDfdSVJleI/TPvBzE0Yd15IuHnmpIqBq5f093ZXlnBw0Wi1wkizNhxxd+v5SoZZMbfcfRE+ef89n9HA4dn9/P7Z+uIgIdeeb9EzcSAWSwWZfy5MeFEIBoSDkQJD4EATgCc4Dk583J8/MSwHRcheJaYlMe5fN+EwWCg/f39UlWEeuO+qyX34vHZtMF4PC7eGS8X6u0DyfCwEEmVGGW+48o8z5VIJBIPG1eGuK8jnW7Z+gIsqTLRr1PWIIOu2kAspFWYhquwLG4szu4W81jcqN77ouhuWy9puFicl1K7fft2+R7KsCuIxIauQyRYqPuj0ajUSec4L+PmFV2cwHu7e2k1vwbqop+XH87TarXKTqVU2CFUgDYgdpbYO57fXaEe2iSpeChGo1GpDORGjydx9Xo99Xo9HRwclHM4GfCqCpfNrS5VYz3dKOVvUlVN5/+UUY1ty9/x9LiCS/UISUX99vwMDGquC1GHmEurCiC8Z9SeWGLRCSXn5DxOtO+mpq97h1G9i4jKVyTDkGsMB+4VddvvDUWb69W5pf098l3vlzFUAAIcPXyIBx665CIA33UVU6rWmncvW52iL52HW924cUN7e3slPJGqIt7GzLmdTqeEyri6j0FDyBVKpM/JGOp8zw08byuO8copTu4f9zEdVXepuv65t8RFm7owJ++TPL+HRPI57ezzuPdjrut15KPnN3qAuBc3DGOpyrrn5vsIY3VhGy7cRQN93dzn14zf83Ecx7aH2sQxG8ci34tiB9eMxu9isUouZt6L3n6//+gVj8q+tJpHXTzkGTy0is20yGvz+Snx8uDKEPd7gS9GPjDXufggBExMLCLSajMZ/zsdOk6AvARIu5OXqPrELHCP15OqirWf1xdNJ/uuKsfJhmv6j39HWoXBsDB7mwFXUVnQmdzjpOQuPlfCuZZPjK5yeww/iX4ed82EE8MX+C7GkNcN9n7gExUElesR/w6hpI0e94W9DnUKcHyOGELgijnJ03UTty/m0qpveTysx0mTDOjkzbe95/5OTk50dHRUKcVKfyc/hft15d4N5uiWjs8eF7V7aTsA2cTIh0x6voyHwriiHI0K/l5HaHx88zxOstzYcaPU81k8Fpx8EwwuvF9+XggyBNef2V3rPge5Ucg82e/3dePGDV27dq08EzksHkrl7xJjCO+jtAqPiSFV/m44RyxlyD15n+Cd+zxRR+Qe93Hu750f5uEYKrNYLEqoKPk7/M1JHOsA8717GuO1eWeNRqPSD7meG63el6NBwdj28Clfa5wgc7w/e0T0jEZyX2f83O29r/PESRdrmfs6WZdv4x6vunfo5+L8kipE3Q0gDFhJxfiJ4mBdmBPv29duhBCO4W8UC3AhwO898WBwJYm7D0YGj5MDSCFxu5DvRqNREicBii7qEOSFCif9fl+dTkeNRkPPPfdc2b7dFzlJlYkthsn4AsKiHmu3Mrg8Q59JEEXMCTDP6caHT5K0TV2bcS/SqvSUK5fAk524nn/fJ3hXJaKh4MlLTgJwq+OqZ4fN8Xhc8Ugsl6vYeq7JjqkYSXfu3LmQVOf3y7vn3nHbe9vEcIInBd6OvsDyXmnb+Xyu27dvV5Q8D7nCEHUCh6dFWrU34zEamBzjihrH+bbbriA7EcBjI6miuPI3xp6TaP8+i/k68kYf5hyugLFBCfOF9xWHG/p+Tr9eNLLvlk/B8RhS7gXzc/q98G+S0Xh3kDmfJ5yUbGxsFGPaVVd/DsYJiee8193dXfV6PW1tbZU8h263WzbrkVZJ54vFQoeHh7p161alkg3PRa6Qe0DjXBYNP+YBFy78vCTBxjnhMoI1D48lRqXP/e12W9euXdOdO3fKHgEk8rMBYaPRqKw1HtvMPBvfO8nA3IekEvaIaOXrWoytd8XahSyfH7gmx6wLbXJSGwWKaND5OIyGoN+bCzZuBDgJZ16KxN3nRM4fvdV+D34+2k+q7kIcn9vXbQ8xwyj1tdb3m2Fc+a7k/t2TkxNNJpPyTB45UNf2icuBx4a41w28SFrj5AEYLJ61TpiGl4Ek7lo6X5A6nU4htihUXoXEz8niQTy7u7hQtnzbYRDVTO4vEhc/1idU3xGNNqgjCVF5dLcdAzpa5K6+YpBEdTN6BXgfceOozc3NEj7jSW+8B9rJY6AhjCjiksrizqLBcZ1O50LlHL8/CA+b+3Cch0R5u1x2Al+nQEaPCu8SrxNEtdlc1U4mB4KQJDcoHd6nPZwjeoI4FvLtJeA8bEo670s+rvw83CPjLCZtu3veN4iq80BwPgiKVznq9/vq9Xrl2em73t/dqInjLb6TOCbr+pnPdXUkhvdG3+ZvnJf3xTiiGpaPZ086RdHD0+FlbN3wb7fbGgwGFaLc7XZLvhDz6d7envb390sBgFarVd7F7du3defOHQ0Gg8qmaf7+8NZEQcLbxo3FurAEVxudmF02uKESDUP6YTRuYt6C/5aqmxox/9HedXMF6i05Sr7ech8eAub5QlzPvQOu8nu/5v/+t7rxEgl7HNN1c18d4rHcn4/tOmHKjZLoJfd5MN7HuvuKRocLDz7e+a4b0O6N5DfedN6ddNGQ8HfsfQqjCp5zN3Eh8eLwMNrzsSHuiUQikUhcBdQpydHb6Z4k/n98fKzRaFQECo9bdgKMEerJvzHXATUX0ucGuVQltlK1kpkT9+hFjffNPfHjIWBONt3DvI78ONm/m5fFrxc9OdFYhLjXPVtdCB7P5u3iP1FMiblybuS4x1Ra5RkggOFxmU6nlbwvSvGenp5e8KK5wk/OECLWbDbTaDTSaDQq/eBJELIeF1y5UJnocpdWinedaxt47HJUZaiswGR0fHxcwjZcdb59+3YlYcstctRDBlKr1dLOzo7Ozqo1cQGDhsnQzxXVihjr564un3R88qiL6/cJY12ogKvpsRTgcrlUt9stW2D79VgQ8FSwUMQFxmt4uwLooUceJ+2TjStvvuC02+3ipvdEN5QIV0NoF9RZSdrZ2al4QShHGCfWy6jWRbULJcUXBp6p1WqV+tseTwnwaBA6dnBwUGlvSRVvjat8EYSE4Sr367FIeHIq94kCxHMR+sa7q1OwYt+Pi3dUrKWqi59kbK8a5d+TVjkx9DWe725qoI9Rn0/WEZn4Xt0LxvVdCXXljT0h4jPwHIwxPCrtdrso5e7B9A1fWq1WOWZ7e7uUuSRXgXdA2Uv3vPAe8eQw/kkuh3ROp1MNBgO98pWvLB4AkpkBoXYe/oXr38lhnCfryNbjCu/LtBk/qK3+XB72UhfmBqIRAGKoy92OIWyDe4vEto4Mx7CSOD7ic7vBwTF1JNw9ZzHEJM4Hfq04z3MOfrvREddlxzoPgP+t7nq+nuLZ8ATUumfludyD4u1CmBzhvdFb7s8Xcx9YJ+A7qbg/WFw54i5dHGwxnhFLk2QyDzfxBZlOTrWF09PTsuMeFVuogILbCJJBdRRpFdJyenpaSU5lkwSPpXb1wRNYWXB8oYkvLaoOMewgxr1GAkAYgE8SPnHEhFqO8fNub2+X+H8Wcmk1eROr7BOKJ8HQ/h76QEgNE4dn03uiTgx/ImZzZ2dHe3t7Jdad5NQ6I8+JO2SHuvEk0znBi4vI40be4/2sI3gYYTx/jAXns16vp2azWVvLnn5PyAi7Dru72Ct+UBXEFTwWYMYJSo8TCg9r8JjNGEIjrUipG14xfjsS99h+sUKD9xXuh/4XJ1wnvDwrLuw6VZB7YXxCKH2MARcm/H36e2Xc1lUC4u8Qe+4vhkt4qUdIYbfbLbHpjE+Mbp6v1WqVY5rNZtnDgrhryBvEfTQaFWP97OyshPJ0Op0yRx4dHWk4HBYCP5lMSugiG8YcHh5KqlbzWiyqeSsIMLSDt0sME3yp4/nlnhNi//Eyu5ubm6Xv160XMcmfz+P/nfhLqszd3ldZ/2JYpBNr5oS6GG2OdVLva1Wd2ORk2v8WEzP9M6+iwrxA342kNZ4jKvUeZklf8xCe+I7WvTue08Nn/Z68jfw+fQ30dmLtdTHOBSnGmhdsYHz7vLpcnpdb9XDbdQU4Eg8GV5a4O7nCOvSEOhQZSDkLnKtEUnVRbjQaZRtgEJUt/g05l1ZqGYPy5ORE4/FYt2/fLpOitKrh7HGFvpMqcELrA9GrPADvADHO31+6EwQvA8Y5aB/IrE8u3AeT4HQ6LUq23zPP6gTBybYTH9odcsd75VxOpFAvqTbBuaIiwTtwJcgXNE9U9vfH9uzEEt5tQX/cJq8Xup9ogDjxi4bd2dmZxuNxeT/eRqjow+GwlGa7fft2xTUbF37vB7FCSXwH/hyQWPqI7zbqewJw327sRgXMSZUT5Hgc5/b+wT2TFOsl7FyBk6pGqaQS7w2Rdc8HRNuTa9cpd3VEgrb2uYi5h4VZUkkOpf2IY/YxQlviucLYaLfbhZSTrErezt7enp555pnK7tFHR0cl9wfSwSZzvCvauN/vl3Ndv35dN27cKM92eHhY/o0h2Wg0dOfOnXItr45BO7vwIalUz/EKP04mHyQexpxQR8q9D3odfyd57kWNBNENGoz1uuvF9aXOE8s9ORGvM0TrPJ8+19YR2mhsc61I5nlGabVWx+vQZp5T5uda5+HycejhJqBu3rkXxPuu+76/y3hef2duUEurPTnIb/FiGT4H+hh171rdO0xcLjw2xN0HVnQXRYJMx4SwSaoQdzqmkxQUY3e5OkGHZHsIDAPBw1yIDfMyi5BPlCA/rysATpZc4QDcg0+STlyleovOFTyfuKIKG9UIH+iQZw9h8PMT+uCJv04S3ANCMqSr67SZL0a0rZfr5L6i54H2l1bJbd5XnDQywWGsoUrUKUCXFa4uRaIXn9HDIY6Pj7W5uVnaptlslr+dnZ2VfhDfL4tLDBNx48mTzpwERGLqKmCsYsIYqFOj/dn9NwvkOhJEaA7X9u+x+IH4XN52bgAzR0TjwRfqdWPV1TlIh79D/7cbMu4FwF2O8t5oNCq7IroqPxgMSpv7/gtu5DcaDT3zzDP6yq/8SknSF77wBUnnxB2vJISfSl20BcYPm6bN5/OyYzKqvKubhAI2m00dHR1d2LfCn9Xbgntut9slrMbL3F32MZ1IJC43rozi7ou6E1kWwmhp4g6CiLL4xnrlLFwQQIgn5Np328OFHGOyUfylVUwgmx25SxEVz+N7CRthkYTAUr4JtdJJiWeIQzi4ttdDdlck14d4uQJKG0C8WTj9XJwH0haVK4wdLykVQ1t4Lzy3qx1+PicKhBxRys43vULBo40hO7TH/v5+WbxZuGlvD8NoNpuazWa6efOmDg8PK1U3XsgVelkQVVs3ZvB6EF6GO977He9xuVwWAwpi6Z4uyFE0sN317q5m+pqPAa9OEsPafOzyDhnnnqcirdQjSK8jnkeq1pTGEOY8bmzTf2IlB1d1MYYxBhyu/Hp4wToFs86IZPwyLn3DNJ7nzp07lbKMhDF5GImXiDw8PKy8D67bbJ6XbiVv5eDgoFzrzp07ks7DYGhnxiKqvT8Pc8RsNtN0OtXR0ZE+97nPlZyi4+PjUtGGutJxDLpqi0HvG7pJVe+o95/LOo5d9T4+Pq54lPF00M98x3CAMelhErSH55owZqJ6H+/FDW0MUfc8c1xU7tf9RMT5w8c+f/ffUUmPCnY0gD2kpq60qz+HhwTR5s4X/BjuM4oIdeC5aLvIcaSVdwlD1Nvc5w5EjF6vV/LM+Lzb7VbmKiIC/Pl8kyvPa4iekMSDwZUh7sAHbFSQfdtsQmSIA6Sju/ru8adxoLhbloWr3W6r3++Xv9PxXYVkwFMyyycAzoPaxN99EHoYi2+cgTLOfbuqVjdR83+fRKMyx3n5QeGGnNSFQMSJPaqkMUkQJV9aJQ2j3rrHgGeXVIkPdnJOEqKkCiGjbVAL6QfPPPOMrl27poODAx0cHOjo6KhS/9Y9HrPZTAcHByXHIeIyKHXRvRr/FhcncHp6WtkohwRrX/xcpYfAuXdGWoWMYRyxu6IvcHEDMowEwtgklXwFtrz3cBv3sjGe+T7nh5Ty2xe7uLA6eSCkgmePBi9wF74r7vRB5gLvZ77IsgcB51jnAXHi7saQdDFcLiYcS+dhJ3VE1ok7pH42m+no6KgievjcyNijvjrzY9zt1sNxfL7kmNPT05J4OplMNB6PNZlMLswRvV6vhGFFAkUfYx4eDoeFyHr70LYxHOKykRE3LhGJ8FTWEWtJpQ/GJEdP9udv0WD1PuQGbpwP6q7Lu3chJZJ3/10XkuJ/qwtdie/U/x3nQO/D6+bw6IF2AyY+K0YKhmPd/dc9l3/mgmGdkOL3z3wS37O3LfNTDOVh/pRWnn/Ox26pPB/rKaTd19PEg8eVI+5O9KRVLVrv2Jubm3rFK16hV77ylaVTUvfbiQPKBQPDB47HlbvijtWL8sg9EW/JIkpIznK5qoQhVXdHk1ZWvCe6EhZA+A6hC275MwFDuliMXSWPiXHeWeIiVjfhxTY4OzurqJtuZEC2yUSv2/DE67R7xRlXMbke7+Pk5EQ3b96sTKQcgzvd3eW+6LCok+zm98PCxv1AOsgt4JjLprxHVXGdWha/w7skYZCJnjaHhLL4u2HqirIbbyj5Hvvt53OS5eSbhcNzFIgz5xh2hOQ+nJBzXq+44W0RyWD0vGG4ML4h2W7w04e9r7jq59eijfnN+UejUfFe1CUX+vuMhMoJkBMY2klSIcB4UZgfKA1HG3kIEAJFt9st56FCC3MTz+lt7XX4mY/d0JNUVD3mLtR49wB6sr4nXXoMN30KwuleR8CcjyHnivJlDIPz/oQnwpP4o4eBfudEnfZybwtrFH3QcyQAfdrHpc/f/pt1IiafRkTvUBSY4nPHf3OOGHbm80y8vs/lTsoBhhBj3VV0NxB8TnsxfYk+D+rEsJj3xtrKu4n9mWPxeEsq84u3k7eVz7/u5WdO9fntMo2Vy4ArS9x9wWIQ0RFbrZaefvppveY1rymKzvPPP1+IO50xulchL16hBiWazyirFuO2CcXx3Sh7vV5l8GGhs9Dgtva4d0IWWAhZAEme9Ou58ucuLklricA6JbaO4DPht9vtonD5QuFxsOQN0Ka+QAKPe/fwG5Jo3KjhfnCpM5n4PXmSsasw4PT0VOPxuPQBV668rZy44w2pu//HGXWKDXBVue65PMeA0BPeqx8LsecYlGNX8CBtkCb6JePCjWRfOGIuiHuwOAajgvNA7DxPIrrBeQYPuYn349eAUPpOlCRCemiB9ynO61VW6ow/7qnT6RTizljwecLntmg4xncMeWYMO4ll11JKPLrB7ETZE9Ih8ijv0qqyFsa8X8+Nbcaxq3ne1u6Kv3btWompJw+F9kH84F5pQyd5XtYST6YTIt8Nm586IndZCEn0/mCQkMfAvMWx3hasIXGdpN08/BGPqwOlFkPe86u4J/+3K+53a986RZ33HPv1OqM2GtTxPmL7xX/H+5dWHjVfb3081inR7pl4oXUjGhLMT5zDjYd47iiAcD3+78UC8Gwxr8dKe+7l5/lY+zwioK7NEpcDjw1xTyQSiUTiKgLiiOFyfHxcKf8nrXIJIHMQzZiXxDlcIXelnnPVETg3KmPoipPcuvC9GCriXgHuHQMC4u7eHQ/v9NCVOjLK5+4BcO+VixGoztF48RATf373ErvC70arE946cYV79OP8+Wjf6JnAS+UqOvfpoWmEsLlwg6iCyMB+N8vlsohuUbxK4v5gcWUUdx8wPuD5ocyYdJ6UKEkHBwcllnI2m6nRaJSYTmkVA+bKBFZpnQv8+Pi41AkfjUalCglKtCdmsYmTW+6A6zAgo+vM4+1dsYqToCsfde5A/3/8HdvWJ1nO7V4APo/x3zE2kPOjvvlE5pY+rkhXhwhNoCKPtFIWPPZWUgnbwIVIiAthDdJ5mUfU4263W6ly4WEXTOQkst6tHR9n1KlK3r7+frwveQWP6XRajomVT4bDYSU8CvXP+wSqXlT4XZl1zxbtHt3dHmLCuTzOHBU4Pnd0ffs443yQA+43lr5EXfaQG1RALy3YaKwSnL3Umj+nu7a5P7xHMZE3wl318Tn93UZXfiQBhJMx17kqP5/PdXR0VL7b6/W0v79fPGNchzr1/J/24zwxp8E9dszH165d061bt8q8TCicE0PPEyJ5lTnDiYyHJXFPeOc4zwuFa1xGOBF14i2t5mL6oqu4EE9p1Z8Yq07e6+YHB/3MvZt164/f792eJarmjDNpFQqDJ4BjXCGOxzhx5xp3U8hjRbPlclm8vx4q6gTYv+ttSl+rI/Ec4+1aR+K5N3+WOjUf7zMeMO8TzMdeWIPjoodRWuW/uNoejY7Eg8WVIe4RDGQmKTbpkM4XiuVyqVu3bpWKA0xinU6nbOTRbJ6XGfNY3RjfenZ2VggGsZJsEuJxcj7QWNjG43Elyc8HYqwJ78Sd41FU4kuOLrs4EGM7RXIfsc51GEMFPM6R73gIgse9kiDMwsB5oqLjkx2GwnA4rBhC0rnbfzAYlFAJ4vuHw2Gl7Zy4Qx7INyBUwHccBPQhT667TIiGl39e9yzeVyCYkB+IESEWkiqG1c7OTiHEbli6SsPiF6/vsfS0uS8+XMtVNvqiE3piw7k/Qm2ii9xzFmgjbyuPlY5qHHD3MgZDXNwxPpw4b21tqd/vV+6JOSRumhPD1dzIgizE9xqJex3ZYtHe2toqbnT+zztjYyQM3GvXruno6KhUjFkuV7X0IXnEQyOCYAg3Go3Sl8De3p4kqd/vazab6fnnn6/Ut/f5DwJ5dnZWBJKYmAxhp1IO36NiDc8VjdUnhcB7KEoUP6RVv6MKl2+SJ10ktRhpHkbjhi3nxxh1I8qP8XuqU2udbDs5jSGOdaEzbqR51TFfU2OIj4d8+NzhfYn7977lcxifxR1qnUAD+rOH6/na5KE/nNe9Bm4EuyERw+j4zbhAaUcwdLTbbb3qVa/S9evXNR6Pi/hCyK+0SmKfz8/36fD8pSdhvDyOuJLE3ScqV8kBVmcsb8Tk7kodm4EwQaAS+8CGfKLEoURxTRZrrODBYHBhy3DOQ6ylK0sYFA6Pe/NJ0Z9/Xbvw77pj4wLvKp0bAJHAQNz9bx5bRxJM3YTGeXyRjYTfk3EgRjFBqNlcVSchP4BJxndM5Hrj8VjNZrPswIiXhHOhzm1sbJREHlduLiN5X/d5XBh9QYguZO/jnjDqZJNKP/1+v5Tyo/0wdn2hc7XMST0VRdzAhaii4EIooufKK2ZgKErVxZJ4YMZdfK++iHvirKvSTgjw7DlpBj4fcQwJmS4E0OZcq+5cUTmPiB4EJ2FO1MglYbGmbaNa2m63tb+/r6eeekrPPPNMicOXzks+Hh0dVer246rneebzuXq9XmXjOMjO7du3JUk3b97UnTt3ynugfKf3t8lkok6no/39fW1tbZV28zneY3bdO+l9BCLiHpKovl9GUuJrnxu6Mb671Wppb2+veJzryoXyXSe2CBdujPMd9yoh4kircrJO2t2wjESV+b6OtPux0SD1ykM8p4eK+Lhm3ffncyM3qtmeUM2YjIo0VbOcuLsXkPb05/BxXKe4+/rnz8ffooebc/Gu3JMSST6G9fXr1/WlX/qlevbZZ0ti+vb2dtk7YTgclpySmAeYeHlwZYh7HNyocQxeNhqRVpM2FimTEeoaqszGxob6/b663e4FV5Nb4Ci1vmB5AitqFiEz7XZbOzs72tvb09nZWbkeFWx8K25JlVJ4EFLIht9HJFreNlHZrFugfCL0iYtr+ITrn/tk6+SdtpZUEgT9+t5Wfh+opUy6GEzu4vNkVf+uu1Sj14GJ2cthEdOHGx3i7pNi3c6K6xTMy4ZICIGHj9SpzRBd4iBRc1CM2+22rl+/rk6nUwwgH3d4sFytk6rEHeNaUoWEQeq8YpC7cAFjkDHndY6lVdUo3r+HWMS+jeHtZIAx6SEgPAPP6fs90Efb7bauXbum2WxWSK8nk3nytXupQPQKrEMcHy5S8Py4+D0cKoYOOHG/ceOGXvGKV1S8LScnJzo4OCjt6MZYDKeBTCwWizIn37p1S5J0+/btShIk86d7bShJub+/r83NzUL62bhJOq+W4/OQj1lP3nPyHslkIpFIPCpcGeIOopXqBM8zqyFquIWxTHu9XkniYcFwtQByH+PXfbHmPtzSh4SgBlDv2BW+ZrOpnZ2dC7GJ7nJuNBrFpc3CB2FyYuPGC1inuHPeuuM4x7p4O/+/P29USngfUUH356d9ySFw9d7dlYRTRFXNn8fjHP2ZXN2F2FOhh0oMriJLqsQcP6mLvBNB/u19xN+Rqzr+ubQimsfHxzo8PCxlVqVqfLK7m50EE97gMbjNZrNsbS+taoPHczjcjY0RgIEMospKH3aCR//Hu8O9uhHg4SGUyuTeYjwp3hs+o4yrE3c3lKMKzDHSRbXO4eeIoT2uUHK/29vb5Tk8v4OKTWxAtlgsdHh4WDEACJUjHKjO0Ot0OpXSk175xHN03LNC2yyXq9Kzg8Gg4gHDyGEepF3d48BnhN9IF1XoJwn0FwQe2ppnjbHteIIRqADvwscXYyZ6hgDjxQ1Zn4d9LMXv+3H+ufdf+gjn8XWGtdWNetYaLx/q5yWEJgo7HnIZVXQPdaG9mQv92eO65KKHzzmxD8a2c+96vGZsI18jObe/vyggkLf1xS9+Uc8//7xu3bpVzsF4QqTxcz5Ja99VxmND3KXVwPIScFJV/T08PNRoNKq4WBeLRSU+DhXRBztuWxbfk5OTEi8YXYEew0coDYOb2FEvt9btdsvkCbGXzici1CSIEaom8bUYAX6MK3P3O8g8BCX+gOiOj5NuVO5dmY9kUFqRG4gP3/PwCj7b2toqpeza7faF3d7qYi2lapgE98BOd7j66/oLE7PH3T4pE1edehuNPNqKBYN2ZHL3d+ul+sbjcSUh0M+F6r61tVUM0263W/q170a6u7tbuR9IHedAyXXV25+prha6h5HE2FPgxN0X9W63Wwm78JKkXvfcyS3nOzs7q2we5O3pRLsuBtt/u6Hlz8RvX2DrvGletpUY9UajmqDPXEL95sPDQ33uc59Tv98vOUMQdzZ7q0ti7PV6pYwm4wjS7uEEkDLmWc7jJSkbjYZGo1Epw+vvWFLJWeL6zCFeCi964p4kIkJ/hrhTWYZnp52c1LFeOil34s46GsmvA48Xxtk64l4310irOcTHZJ13ye/Jxzl9hJKlnU6n/J05iHvy8e4CBJ95uee4KVz0yvnawFzkQhbP6Gtg9A5yHt6JGxO8E28DREUMD3822hkBD++Vh91JK+KOiHlwcKDbt28XTuThpfQHDIknZaw8rrgyirs/gIfJrHsw1B+puti5e9fPzcBhUDNIIOWojFjGTjTr1EiULk808YmOwdvpdCoKGNdDwUcl80UuLuSRgDmiMhU/j9/z8/lEEZULTwyuO5+7xOM5INKoJsSgc10WbCc+rphwDZ+EeddHR0dlEkdtYqLnndC2TFhM7h4TuY5UPYlgN0uPK/UFUKqSSt6JK6B+rBNg+gh/I08ExdC9HvSlTqdTSfY8OzurbNwDGLecb11cZgx/8jr1nJvxxcLrBMfnBg/vccPR1UwIVYyx5Z693Tw+dR1x9z7vbRzHvXvROD/hLewxcXJyojt37lQqN/mmSq4A+gZlk8lEjUajEHeegXEXxwfvN24Kx5jHi+jHc+8xlCiG57mRxvvnN/0jEvd4ncsOV9xdzJBUkoOn02nxcOF1ZG7muH6/X0icixZ1ggz9Obarvy/GmJPTSIqdrEdV3Y1tJ7ruufWcJodXdfJ5PPYhTwT1z5yU+/U4rtPplPPHNcSf041KH7MAIc7/7/MXbe+1192bzXfwJnuuTxTFlstl2W+DimG8Z4AwBt+o8wImHiyuDHEHUR2sezBUJSqPEGaCJV836HG/ugsNUNmFxYKJwENdpGqiCwPOjYBoQGxvb2tvb6/sICittgX3DUZ8EY3nWacmuQrn37lbm0a4ouAKA7HrKHnxmngMUCg8vtnLOPZ6PXU6HR0cHJSYftrAE288nCl6BAgz2t3d1WJxXkLu8PBQ0kp12d3dLe8D0oB3hPNw307g69r0SUBUxVDtGB9sNEabSBdDbXgvvmAxNiDukG/PX4BoOEFcLs+r2UCmXSGm0gHGHMcwLiAU7m6ORDcS+s3NzaImS+fJWV4qEVd/NJAJ75lOp+U45gvfAAhy7uQ9EnSfw9aNzfi3aGD7MfG80ioxF+IeF2dJ2t3d1c7OTkWd9HEnqYRDucGDAeZEIt6bK8L838MOY2iTpEr/8bAEn4+d/NHW5CV5+U036p40IsJ6RP+XqkUA6KcYz+4t4f10u131+31tbm6W8FJfK6VqHglrUlTlfS2UqgUHfPx5f+G4Os9pnVfb5yIPh+KYVqtVEub9PMx1nqfSbDYrOWUch4of+z/reafTKWsyoVlRtIsEvG4dcSGBdonfc09lp9Mp5/dnbzabpQoe7ehGFIbaZDIpZVWXy4uFB6j+5kn8iZcXV464S+vLF7qlykBm0eCY7e1tDQaD8l1IIioFgy1ODr6gMaghrT4AmEgWi4Umk0mF/DIYPZSEhFUGE6QSYunb0LsqFRfKdYq6L+z3075RweOZWVQXi0VFtet0OpV6sJzH1UaPAWSiGA6HZfdan+Ap67hYLMpkisuec7FAoH5EtciNoel0Wu4/hmrg0vdwg7owhcuMdYad/82JjpNr4PHh7pGI56a/xZwQfrtSyHHucUFh8rhbV4v8GTwMJ8bnRoUeBcrLBuIh87KrPidIq0oyGxsbldAgrsFv+p8Tkmg0rCOR0SD19xINiLrv+eLvRtJ4PC6JpbSNtyHJ+sxNXAsSRxt5bXDGmBMJjALevYc6xJCKRuO8Xnyr1arUXucd0e8gR26McYwTpTg/S7qgHD4p49jBOMWzglFFKIu0yheivXzd4N1j9GB84pXkGow7vFV1Rm28rzrDlPna+0EMS4F8Mv64F/dwe/gM6xGKunsKfP5CtOGHOYP+yXzAOkx7cC68gJPJpLKfhYfA0U4emuPw9SkaMDyHtPKAMVe6h4/zLharkrte3tU9XBhpXu0rGveAPkSFoCTvLy+uJHFPJBKJROKqwo1tVHDAvgiSKvskSNWQjphEiXq7tbVVEs4hch5u4omakiphKJzfNwJyUu4/kdBLK69sq9Uqxt1kMil7onA9jDWIeAy5wWODV8I33ePcfi6vEsU5Ie6o3r5xI4QZuLgFYY4eqLpYdv+7l4MEqPvuBeG9IwIi7vFeXJDCuHYBsi58iVCa6KlKXG48lsTdFSlPXENxJyYNFY1dM9kQZLlclgRWBjnKrLvlfFCiFqI+SCoZ+zHO1ZOlpFXSpSfbbW5uVipzMFHyvVarVcJnvNTZ3RSPuna6VwU5uual1YSDq3tra6uolDGhNJZyjPfqMcURrib4O2g0GpX25zMmM1fcvR/w/ePj47KRC+rJ5uZmqT+OmuRtENv0SVAg6hRcqV61xQPhi08MUfBF38/liin9xne8ZYGUdGGxkc436nHPDoq8e6ZY/NmYi/EWPVG+qLNgeXy1L9oxJpa+3W631e/31ev1dHBwIEkX+pr/5rvucYjvIXrLYhvei9oezxlDCTxExXM8HCzuqK14C7yNtre31e12K94W94ZIKl7CunbwEDv6EDlIt2/frrx7T5BDEfZkQm8z3gPP7mE5d/MIPUmg/+LxkFRRaE9OTnR4eFjItYdduiLuP973fe8GJ52uNntsfCR9d/Mu+RxOv/E4c+YQn/e5b/q636vP4+754d4xVLz/0CZ4zFwJp996NSVJJcyG9TA+i+9ESxvE33j3PbYew6DT6VTi+OMzeTvyGV7jdYm23L+H0nB/vjfDVRgzjwOurOLO4GVS8XjTXq+n09PTEjvNZE58u8dA4yr0WHIqSHCMVFUL6lzAd8vGZwKgWgXf73a7euqppwoZlla1xyGjLIaedBJdkaCOdK/7v08G/I4KwbrJl/Z2ZWAymRSyzQSPIuBt2Gg0Snyxtzm5CNLKze2JP5zLJ1YInZdDG4/HZeGSVvGXp6enpf19N12pGivp7uSrMoH5e4/vOR5XF0YU3dOQP8LPoruc725vb2t3d1eNRqNSNens7KzUX2cR9EoT0ioMhoWZKkTej6RqtRcfw8BDW2JSpBNO+tVwOCyJvK7wxRKW0krNu9u4XPc+7mYcgUj4I3GvOxb10atqbGxsaDgc6tatWyWR25+t1+vpxo0bms/PK2V5sq5vCz8cDjUejwvRoW2jOgyJ8LwWV1PdECf+XlolQXtSr4fsOMF7EgztF4KHsThxHw6HxVCjjRGMnFDyHdRlQi48TG1zc7OcgzGKch3nCgh8nDfjuuUhMow731zLw0Q8pj6GXEoqxiiCEHBCvVwuK2TahQOfu+L84IZ7TMiGoNMnMZKYkzCIee74ziDuiIy+YSN7Y/C8bphEuJELeff5x5+HtmDsEqLGGpohMg8XD4NbPFbE3RcCd7Hh2trZ2dGzzz6r5557rkwm7XZbvV5Px8fHunnzpiSVDk8MtCvaTtw9XjVWMeF+fBFCtWBQsrh1u13t7u6WePV+v69XvvKVlY1mUBlZhHwQepkvj+V9MXDFwVXSSM68vQFt4moayU1O6kl64ftM0LhAiecfjUZFEef8TCIs9r1er1RAAD6Z8+7d6PKdWs/OzjQYDDQYDHTz5k0dHh5WlCevQhBJ01XBOgLvf2fBceU9LnTSqiJCTE5FFWNM3rhxoyx6briNx+OilOEW9nHH+IK4bW5ulvFN36VPYkS60e0GhFe9cWOYvr1YLHR0dFTJPyHZj+95bXH/ro8tzhUNbm97b+d7Mb6J23djPp7H1UDmGt+pebk89zw+//zzpQwk5R2lcw/IM888U7yRvnsx5zk7O9OdO3c0n8+1u7tbvI/+7K4igkjGIIqTyaRsxLRcLkuCsrRK4Oc9ejjAOpUzkUgkHhdcWcU9uvV9W3HKHzGhu/sI1VVaKUBxh0GHZ4CzCELIvQqKu+WklasYN7ukSm1kMr0/+9nPqtlsFuuX6h4QCs+GrwsvcURVbp3KHo+JaqirIZLKc+zs7FRckyjh0jlxXiwWJYnQk4IAhhIeCmIXPRlXOlccXLn0JB1f6L19IIeexc/nHtZDOM+653U15yoi9gX/3N9rXTgHRA33M8nE3qYQffrQdDot6hX9m/fMe0HB9fKjvK/lcln6HPfnnhSMaK9GE93JbrBgCLhSRbk8jw/FAIkGt1/T1UPaE69frMjjuNu4jQTfVT1XMv17HmIUFUdAAhvhfU6Cn3/++XJ+VyrxcPHufQ5kfOM18falXba2tirlQaVVNRjmHtTWyWRSkuHH43ElvMHfzd08Rk8i4hooqYhQPoY8pMgTT32HXLC1tVXCSfv9vkajUSV5vC48zENtGOO8w+jJ9bHMv32tQRSK/d6/D+gDiFw+HvHC+7hdLBaVkC73EDYajQvCkKQLXnnOFz13dWSMPk87xfXWx6x7Qlj/Y5iYCyDcW3w+rodAxvujHekHjGXErjoPQeLlwZUl7tJq4cLlxyIyHA4rmwsQNz6fz7W3t1dxgeOOiwufkxEnKE4YvT4xA4x7YvLpdDra2dmRdL4rYLvdLi6t4XCoz3/+81osFmXCcJdlo3Fe1pJNg2L5NFc918W/xkmzLgwmftddmNIqhh9vAZPl8fFxIUTEGUurhcOr6EgqJJ2J6fDwUMPhsEw8vkmPG2ao9tPptNwrCutgMKjUIfYBwTNMp9NSOQMiz3NyLifuvgA9aYjvP/7Nn73OEIz9SaqGJXjsM+PAXe/8mzCao6Oj8h4icceFTNlQXwS5Hw8nI8yC87ih3W63S6iHE3cf9/QD7tOrRbkbXlqFVzkBwJ3usd1epo3zMkdEw2fdO/Hn9X9H0g8BiaTEPXi0V6zQgceAudS9WcfHx0WNJ3Sl2VwltNEH8LJhuB0eHurw8LCS5MecwOYwEBYXQTx2mKozeOUkVSqheF+7ah4ywPulj9L/yOlyY9c9te6l9v7oldc2NjbKZoYY1/6+OK+PcQ8DWRfi5QQ9knT3VHt/jlXc3NvlZWYlFY8Y4432GY/HlV3InbhT894rE0nS4eFhGW+e2xLnQPf6+LziBs/dQlGclNOmjBV/p9JqDJBQ6gYH7YNQyD4dLjpgDEvn67LvE5N4cvDYEnfIHbv+SapsNtLv93X9+vWKAub1iVGaUACiWsUkxED1EBGPgXMCzQRGvDyx90xInLcuw5tJJsbjudocn/+FBpwTsjoyxoTnz+z3hXE0Ho91dnZW6sp6GBD/v379ekkGdZWH+2BRh0QQ2gDBklSMFd/R1J/D751JTlJRWHz7dIwByCg1u30rdo+1j6EyTxroo3czTOqMunVhG3WqmBt+UXHmnfm747hIYOn7EIAYHoayO5/PK7sj0x/4Nyqbj6u4aZSTD4iFlynkeBZTys16SIwv3HijICVuJBJrzFxRN944590Mrfi5ewL8+9EY8x1Jndx72/q48x2POT9eA0ecnzwOHXgZUIwd7sPbMSZYeu6KGxVOpq5ifC59x8k0aw7k2dc1H2ftdluDwaCIIh566n3BPVaMHW9rDwv1mG9pRdL5zI1L7xeuuLtwxfdisriPC9RpYsy5Ln/n/lHfGad+/06S7xaC6up+9Ap7CB4eYB8jUfiIhrU/r6/JzJd+vbq51a8jrcp9EjJIG3rpR46Lolfi5cWVVtylFRFw4u5lonZ2dvQlX/IlpaMfHh7q1q1bkqTRaKTpdHphYMeBywTIBIISwGTm4Rjubo8LGypxPC9/k1YLF5MDlvG6SizrVFD/fx1xj+qdky5fWPk+1jmhPtS1dfWDmNT5fK6bN2+WRFu/byYOlBvUNU92JT7WFfc4efOb+tsemsSCsLOzo263W/6GQRFDczzXwdW7Jx2RdN/rM9/Nw0MfIh69zsNDeBqeq+VyeaFqiLSqSMS7mkwmFyotOOpi7X0TIl9so8vZvW0kT6Lw+kKPcUi+hKvS3l+Pj49LomfMYYG447nix40JH6t1Rta6ceyEyl3xfiwewjp4CFI8r4ejEDrhhjvG8HK5rBAxJ2jswupx766U0ibkvECAUBZpH7+fujCZqwT6nY8NTw6O+yLwPgh/pP0gj973IYcQfvq3k2SMdEQpqVqzPPZ9904zbvz9+xhxJT2ex5V6yKjnOJBMu7W1pZ2dnTLPe5gYXIGx2ul0ylwYjROMA3Li2PiLNmcuI4eNtdvnPu+jtC3zi3MB2trVe/4mqWwo6CIF90sb4NE+PDzUbDZTv98v5TU9J8/DfxIPB1eeuEsrFcA3VcEVy4YJWPGETUjVeEpfXBqN6uYLgIFPmIhXOcC69gmSRYWBNB6P9fzzz6vRaFSS6NbBB6O75uKiDuJiW/fZugXfr8n53YDxHWiZlNylTewuk8BoNCrEHbirloUWsuRuRCZD2pKQCw+7cbXVK+9QBlQ6Ny4wNHxBajbPywgygfsGFVfV5b6uL3o73M1zsw4xXAoF1auwREM5Lm7tdlvdbreQBknF0PYNR7ge18KIIwGasRvV7Tiu6N/co+dN8Jvx6251z79wb2BUoumrMdl8nVfDPUB3a/e677vS7ueJBJ/vMt58V0iUxOl0WoQOQBsxPpnbMF48wZ62hGRxrL9Dj2fHKwGBc1Lm7/Eqk3apWqxBqlbdcTGD41x9d4+Hq+3eZ3nfrHHu8eD6d5sz47zOuPC/ORBqmJObzWZFBMCgZ+2m//o6Hj2LzO1uAPBsrD0YJFEIiyExnqMCoucsrt3SahMo2iqGzqwzpuvGPEYRnhWeMeYKUfmGazHWnL/4+LnK4+hhIol7IpFIJBJXFFGM8fwLlGQUaD8eT0YkqO79cXLsZRndIMO48uRNPkdgAa4Qe5Kq37uHYbkg44TUyXUMzZOqJHixWGg4HBbi6mGu0kqUok1oS1fA3ftNXpY/D4ZGbB8P3eP+PPnbRYtoTOMJQIyIBsRisSjvl5AbD++j+APH4MnCg+/PmoT94eLKE3esXFy0ksq/m82mjo6OJK1CO1CCJVWsa5Q/rH2vNe5hFL7bnCvu3AvKvivJgEoyJK0ysS0Wq2x4V74YWExs7paTVgp23cuNal2delD3HdpNUkXhcvc6FvtsNivhLSwS4/G4JN6iqnFNT2x19QOlxN+fpMr22h5Kw3vx2rO4KJ966qlKoq/HuON+xxsDYhjFZZ3EXigeGtQpt/f6XRbKuuPrQm/o67R3u93WdDot5ThdpQJOCDY3NzUYDLSzs1MhBdeuXdPOzo7u3Lmj27dvX3Cjc61Op1MWWhQpdwu7ComHx70vkiqEh+f3ecSfN3rGWPCdaHgCry/g8Z783HXv4V7ec7w/aVVtx9+Zzxc8H+ESPDdEotfrlSRVFPft7W0988wzarVaunnzpobD4QXPnXsgCZHgOh5vyw8ElO/VtcuLIR332tcvC9yjIq3isFFXvc2las18DxFzz4+HbqIm+xiJZNs9la40O3GVVFmnpVUSqcfBA+4Lr13dWu0E3b0GvvZiPBAWE//Gd6UVJ4heOQ8hY9zGMLSYKxXntfh80fMV3+e6d809+Tzp7y96uRm3HnJbN988KeMhscJjS9yli65C/r1cruJjSapyUo6r3RdSfvyc/pmHbMSthSHgXlGCaiycy5M2vbqGu+Cl1eTrm194FRufGO424Jzku7u8rv1AnGx9Uoagcx8MfiZyvksFCbfsfedZb2PcfDw7hMfb3u9DWk2wLCy+OEGoUCJwF25ubqrf7xdDgf7ik9njpj7cC0EDd5vw6471a7zQ9WKYjIdgOOi3LMaLxaKikEnn48Crj9SRaK7ZbDZLkrdvcjaZTMpxg8GgEoOK6kRIBsoTdch9nvAYXhZnPnfFzRPBvL/5c61bNCVd6MOIDTFEq67dfVGue393e3eRvEc46YvEK/YRH7sIHG5kSyrGu1fX8d1MvarN5uZmUQDj5ko+FmP42ksl3o/T+H6QcFJHWGOn0ylhZqx1XsKXPCWP2W40GiUXy9Vm5mVp1R/4N0JMJISxYgzHs45g1Pu4c+PWc5s8Dh4j3A31Orh3gWf2uR8yz3ik/3koEMr29vZ2CcusC4EjvC6GEXl/dSWeZ+FvbgTwPa7j7c5vDBLmLq4PT+D9M9dKqoSc1bXVkzo2HjdcecW9Dv6wEF9X/ih1hauQwcrA9XjVmLhBoku/3y+x8p7s4YoERPHatWvlXnzRI0ZtsVgUsull58j85od7WhePvY60QUiYYOti2u5G3n2yoB2ZNHyxkFbJeyQ9HRwcVJL8YoygLwa+wNcZJk66mLBIPuXc1PT29895NjY2tLe3V6ndz/vzijKPC5wk1ykzdXgx9+/9515I0d2O81jSdrtdiDPGnm9ehPHrnh3O4QsepB3FSFqN3d3dXe3v75f+fevWrcrOyFzTd/b1RTIaCfw0Go2y3wPEAkJB2ICXlYTceH8lgd2rSzCOvX9H0h4NKYhKfFd1/38h8l732Tpl3s/thJ6QATfuKRvoyYe0r89p4/FY4/G4zJNe2Yt379d+oXtPJBKJy4Yk7v8PccHBVehlIFHKfZFgoY6qF4tSp9MpizUqMVZsrPLC4gYJIMveE/EoI4faQexZJMAQzZhcw9/uRTn3xf2F3GGRLES3o98Hys06t5+riX5uj/3zJF6IDWEtGEUop8vleQgSGzMBau+i6vE3V9JR3JfLZakzPRqNNBwOy/ljAt3jgodJUO7nWq4Cx8+9bjv9FKOY66AiUX4tqmIY0xiHUjWRjmOXy2UxAtzV7cnhvgMxXpw6BdBjZTEcuB+MRJQ5xoMnwtYp0svlsggBXqc8Gt3rJvG68bvufT1Ir8wLnRvD2g04T8wlbjkqos1msyi7fC/uEJ2k/MUhthuGLUYrn/n75//+WXyvrnz7GHCRg75cZzwyTiJImu10OpVdfHkW1hPWaI/xptY6Hmu81lFJxphmXNI341zCvBWVcJ4dQ9RLa3J/3m/dcI9hg7StfxbX2fgO+Cyuxf5euK4npronxKu+eQ7CvcwpiZcPSdwNPpHgXu/1eiXGC3Xbq0X493xweJx0v9/X1tZWidtutVqVGD8UZJT0xWJRNlJaLpe6ffu2JJWSWUxWbCDkxAaXJIs7GeH3+wLrFtt1oTIghkL4xMU9oDKS8AKiMo6SygQrrTbWcY8Ei/lisSgbVT3zzDO6c+eOnn/++ULgeA9RHfZNXWK1A1+85vPzrdhRgW/dulWpQvRSBkid+vyg3I73e44Xe911CnodyWMhqSPAGKOo0hBdjxfnvQwGA/X7/TLW8Lh4/2GBjGVAWdTZRdOBwYynwsNceMY6pdpDqDyefjqdVnZ6bDQahTD4Hg24qtmAjIU0Jr9Fz04kT/65h9a81P5UZ7zfa2jVuvPFc7lxxK64vN+tra1KydV7CfVL3Du8Hem7jDefb8FsNtPh4WHZPRXy6wTTy5xyrrpQCw8d8XKiHi7mHi3WQXb35HgP93BCioDG+VlDPI/J++NisUrExAvL972iUzTk8SjH3Vw9dy0Sds7DuVw4iO/F75NncGGQNnD4O4vwik8xJJF5g/fmIb11XvfEw0MS9xr4RMPC3ev19NRTT+nk5ER37twpx25vb2s+n5dwDhQF8P+3d+ZBclXVH/92MnvPFkMIUfmxFCpqQEAFUQQs4kKVhbiUSIJF3EpEEQsUKBXEBS1RCYuoJRQGBBQLVNQSUVRQUAyoIGpUZBWYCZNl1u6eyUzm98fU98733Xk90z1bume+n6pUku7X971+/e695577Pedwq3d4eBiNjY2hYAW9xmxD84drOzppcwCj7rChoQE7d+4M28cAQt5X6kHTyqNP5kGPO64aclN522PjTXV1OsDRA05ZDICQCo4eSw4M6m1RT4caf7yf9Eoy1zqPYXs6oNHIYvuqY4+DoWjQMwiuu7s7VIuL7+d0qKSBb7rXUszjGy+UdNEVG7/qbY3lIJNNPjpJAkkvH9vnYpq/N2Vk3AHic0WDGkjmjVYtezzBqzdPPX3xfeAilJO3LhQpiaEXk+ejkaoeTA0qn8zjPtl7s0X8G85GW7Exo0ZZLIMzsw+fYWA8zoP1BIBxw3BoaCik3aTxzOecu5G6QNc4ICDZ79W5xLmP/V77dhzgqnMAr51ON92d1XmZ85ruSOvCnFDrT0cdHXf67NHZpvMRd3fTYm00NkvvAZD0gvP8OmfpfMYxQjX9KoVN+z46TqmTkfdM50y2Q4Od78fjsl6vmT9suAv6JTn58uHMZrPYa6+9QoU4YKwjtLa2JgJKmpqakMlkgiE9MDAQjPp99tkHe+21F3p7e0N2GGC8Al1LS0vCE0gDlKt7Ht/c3Bw88l1dXdi2bVsoCtXb25sIktUFyFRSmVLvjVLMaI+NGx4TD1QMYmpvbweAYBxzUOLCiO/xN+EEzoDCkZGRsKAaGBiYYGQNDQ2hr69vQtEPYGzwZTablpaWsBMQB+L09PSEAjCqhZ+LAWwhDIbxBMVJl94n/pbqmYplKrE3mYarStRGR0cTxVt0a1xlKc3NzcG71tPTk5C/sK+ohIveXhaWYXtpXl7djWJ7OjnGixDGd6h2H0hKRuLMULwm3luVkxVbjBfr58V2Voodq38X+9xsGO8xuiAvxYlgZgf1tmoVWr4GjNcwUMOVjhca7pR3sr9r8SL1gPN3pjHOHSc9H5CMgWH/okHN93O5HHK5XBgD+IfHxJnd+vv7E32b163OGe52NzU1oa6uLpHoQXe12Pe1b6rMT+M11CHBeBiVy8Q7Exwftb4BpX262Ir7Kcc/7ozob6ffV8/Pe8kdDMZ0xdI0s7CpCsNd4YPNoLbu7m50dnYmAqeoNecqemRkJNGh2Y56C9kZ4i1D1cnpNjnPA4x5AxlMyY7EbBdaFVAntzhKn3+XOvGVOiGnGQv83rq1pt4zLeIAjAemqtHFY/k3q73FW466xahyCML7yt+uqakpbGnq5KTeHe6E8LXOzk50d3cnyq6nfX+TDicXzZACTPSQcxuYRu3o6GhYTGWz2bCbNDIyElJ0akB4vOBiRolYCgVM9BRzouL16TOrRoC+pvpdPsOxFEj7gLZD1ADg889didigUCOhmFRkNj3tpXjV9b00yc5snN99bP5QhweNcE1nyP+r/ltTJcbxHfw348Zi768utmOpSJyhJZ6TYsOehi138NLQOBTKSeO4K3WYMRamrq4uLELYjl4rx7e0bGgaExBrzjmvcW6h11yvh7vS6jCKdxHYZuw0iTPrqMNEr0d/XxrqDABXb7v74u7FHndjjDHGTIBSTBoAKjdjjAbloFpllTAmjNWOh4aGgtdaDXManuq1V8lMTCx7VAN6167x9It0vIyMjCRqQXARweuqra1FNpsNhr7uDALjO2DMBsX4Jl006I4bFyNsS517vEYNvNZ7qsGhabIa7kTrOQAkFhP0itOI19gwAIkgWx7HhQHRqsQ22iuLBW+4T7a9Oxn0ajG45sknn0Qul8OKFSuwcuVKAAjBo9RHM9+znnfJkrG87zU1NRgZGcGOHTuCh1wDSjkY5PP5UF59aGgoBFUCY95GSmR6e3uDlk9Xz9QIs4MxWDVN81bOvYiZats83rqLvWacENI84NlsNhSY4mofQNBR0mPD3QYWh+DA3NjYGKRGqvdTacKyZcuQzWaRyWTCb0z5i8qjGABcW1uLQqGAzs7OCZ3GA9nU6Na77kLFGlYeRyOAUEq1bNky5HI5bN26Ffl8PpS3Z6E0YLxUN3/H2trakB9cvUlAskCM9mW+R099mted/6e3keehUaKaUy3qRqOAMhxg3OOuz6tms9JguGLBqWk7avGOgX6Gf8fe8mLP81TPeTFPe9p5qxX97WdzV6NSieVYAMIYqvEW+Xw+EcCqsUnsP1qcCEh61GNZiAaops1bOrfRaw4gGOjsX1p8kO3U19cnPO4MvgXGDWidSzTInX1Za7DoGKLfi22oZ5vt6C6Dorr1tO/OHTnea2bIiYN76b3XZ1UTPegCid9Ps7TxXqo8Jh5nzO5jwRvuM7lw3TZSbTMNSR006urq0NbWFjq+Bi6qMU0jUVe33Hrr6+sLK2O+rwMgJ1lKBVRvxrZUFqCr8dnucDqolvoA0ROhRpwG9ba3t2PZsmVobGxMFGnSYBlgXJ+uW4I62I2OjqK5uRltbW0YGBhALpcLxiAXQcxGwvzcNBTTJBYDAwMJWYb1fdODv5XqVPV1nRj4jNAQ1gq7+r7+0cWAat7VS6i5/tmfaHQDyfLlGksBJBfjRCdalc3ocXxmNDNTHHgW6+B5T7QwGa+Jbemzz/f071L7e2y8zxRP7AsHPnucz1TCpkYnJTCaPQVAYvHd0NAQnjU6q4CklITyVA1A1Wczltnx3/HiQufJuJ/wM6r75nk4TjCbnGrWNaORetPZl2OZj3rj+RmVwE123SqtidvgTgLlO9w9IJwzNWCYxPdSM/3w/5qdS+WCNtorhwVvuE8XNSa4UmXgaV9fHwCE7cFMJhMC35YtWwYAePbZZwGMBUpyW2tgYCB8Js49u3XrVmzduhVNTU1obm4OHZ+DD2Hn13yrACYY+EAyYK6YZ3wqb9hU75djHOiKHxjfRgWArq4uAMDy5cuDR0SzSAAIFRWZAoxedWrlOZgPDg5i7733xv/93/+hu7sbTz/9NHbt2hWKXwFjA/Pw8HDYJeGEw98KGM8I1NXVFcqwa9EcvUce0NKJvbnFvGfAeFwJPd9DQ0OhOiJhirY4aBNI6kVprOt2dJzbnwsD9kfdqeHx+lzFBrJ+JzXI4xgNNQDYD+jN0q1r7fM0BFinIdag6gKS54uNgPj+xhN47LUvJQi1lKDWUsaV2WB39Dv3c2PMYqHqDHcgmRZrcHAQ/f39wagAECqpsoqjprXSCHZgvNhPNptNNaa1gINqzlhSGkCIaqf3l8ZBWso0rSzK7xJP4LERVczrxgmynMk4lhPwb5UKaJEKej/o+aQMIt6WpHeD27HNzc0hMw11h9yNoEaPMgVNCcadD95n/n66sKD8afv27ejq6kosIhRP5sWZbGdGA6X4t+6u0LilN4+o10uNaNWJcscqfmbjLCz0gHG7XwNb+Wzw72IecWp2+fxoGXgAiR06LrzZRwm/iwaT81mnzABAeJ75TLPdTGZiddzJpAZpv8lMPe9xW3PN7u53u/v88wUXi+qlBpLpeZk4QOc7AKFKdpp2WoM3VbIxOjoa+jD/BsYlZ3qc7kDxWnl+leDEweJsm8kQiMppdNeXMkrumqnkhOePC0Wp5lwDb3WRzb/jYox6T/R34PjCa+dvofM7d+25sxEv8PU3VVkhd0HU425de2Vij/sUcHCgt7W1tRVtbW3hfXrEdFLfuXMntm7dCgAhBWE2m8Xzn/987Lnnnujp6UFPT08iXRQ7JDBesKWurg6tra1YsWIFgDEdeG1tbdATFgoFLFkynh8WQPDqMze1euqKUczDFhvfavhP5ZVTj6Om7+NWK7f7+J0pbWFFWabM1IqmGgwFIKRu5L3q6OgAADz99NPo7e3Ff//7X+RyuVBKPU51xfiBpqYm5HK5cL94DI12aqMtkZkZxZ7BeEGpshHGcPA5Ydq0uEhLmkSlUCgErzqAhLGrEyLjJRiEp0Y5Yy34ebbJ17jLRtkVMP5c8hz9/f0Jrz23yjl5AmN9RrWknFR1MQ9MTFPL1+L+qQuTYsZ4Wj+eaqD3BL4474FKZrgjNTo6JklUhweNavbXTGasuA/7cfw8A+N9gobm8PBwIvUi2xoeHg752VVuFjuoeBwNTi6+aeSyT/MPxxLd3d62bVtiwUCDlpV79RlQrTmNa61TofeQ1xvL3YiOE7w2fU2dCWpYq1Gubel8y3EQQIihUwkQx7c0w53XbyoDG+4lQI+X5mMFxr1t9HZp4Qc+/ByMtHx0f38/+vv7Ex7C1tbWhBHOwYABkgCCMUDPAw13HQDoPaTnUFfMk/2Ik21/pxnv5d4/DrQcBNX7DiBE9jMXuxZ9UMOdAcE0sqlR1AGGgTnM6ateVPWK6AKDAy8NKADht9ICPXpfPJBND13UAckgNf4mfKY1fzCPoWco9uRpO5qSjTs0ejwDnNWjrkFrAEJ1RvV4az8DkNgR47k4BtDjroVn9LurJ4t/UzKj/VyNHN3Nm8yjHstiir3uZ9iUAp8THUsp5aqrqwv9lka16uBzuVzw7Kr3maikjTul3G1moUEAwUvPz/JcumjXPsNdOQ3kBMYMd/YxGsg0qHWXTHfQOW+x3geNes5JtbW1YaxSQ57XpA6DuK4KkIyH0dSaaQscLnJoK3B3QGs9cLeBKat5jRxHabhzzGKhKTXcdXfR40RlYcN9CjjZ8kZpASYa7sB4ZxkYGMCuXbuCLrehoSEYEJ2dndi+fTv6+/uRz+dDdpr29nY0NTVhxYoVGBgYCBp6DZoDxjzxAwMD6O7uxtatW4OHL5PJhOPUc8Et9XiQSPuOk31vnoOvl/rA8Jyq/+WigrsGvG5Wm2ttbQ0DDb0WsXeUkwe9INSp0xPEfO00xmj85/N5tLS0AECISWDmGXokmLJM77d6aj2ATR8N3tTnSbe5421v6r05ofb09IT3OEGmZUNgHAgNYBrnnLz5fHAibGtrw7Jly0J6OB7T2NiYqJNAQ12DZblI4CJvYGAAS5YsCRMgc1lzIk7zOnIHqLGxMbRHo4TfV+9jWn9O8/Dx+MkW5rOFFwILHx3XafCxP3C81mqjWkRMs6uotES9wlwsA0gYwjyfxhiNjo4mZJDAxJgXlWMSxjs1NTUFj3NsoKqnm21xgaIOAPZPtsProayI18Q/vC/cSdYiVPECnP0/bofjli4MNN5NE1/U1dWhubk53CuOSTof8/eIZTG6c2cqj/n4XarWcAeSN0glE319fdi+fTuGh4dD2qhcLpcYSNSzyE7NAYmGd3d3d5BsDA0NBT0tgyd1oMzlcujr6wteDHoV1Giht5qr6fg7AKUVSZnugzHZ57itqQYaP6ODvG6PaiEq7jAUCoUgq+FihsfxHnICSKv2ptVWR0ZGkM1msWTJknB/gTGPu2oxPYDNjDR5lU4MaZ5kTc+o7ag3il4x9jU+B+rl5sRIgzv2+jOrkE5cXPzyNXroNeCVO21cRGoguX5PGu40cliNNW2S1ElVA1/j+6X3VClmwBd7fv1cm1KJ+8fQ0BAaGxvDzicLo2nQdawz55iqRiudLPQ0U+KYlo5Sn3mOzfFCmvOiFlXSflBXV4eWlpYgqYl3tjQWhXEwcYpaAGEuUu81dxV4Xnq9meM+npt5D/Q6dWeP343efc1iRfkNrxkYdxZSYpjNZoOzTO2E+HdVuW98HWZxUtWGu6Iewlwuh2effRaFQgFtbW1YunRpMM7jAg1Lly4N+cnpBaCHuKenB8uXL8fy5csTRQ9U88pzaxAJ2x0ZGQmeSG536UA0mUe91O88kw7Mc3FngN4ZrULLjC/Lli1Da2trMLq5fcp/A+MTRlyCmfckl8shm82iqakpEfTLSQEYy+JDveauXbvCsYVCIeTip7fd2vbSib2uaTKNYrs5GuzGZ46TiR6jwZiFQmFSDTc/Qw+7BoNR/84+RG+55oTXBTifWWC8X2v2I5XlxJp7esoaGxtDgLnKwACEHTtdMKQZ7kQXHpMZ5fM1+XqSX9jEcwZ3hqhD1x1Szn+aWUk97VwI8xgaqKrjpqGblgKSzzX16RoDojIZ3e2lQ6a/vz/EtDDOiWOPOmm0Hc5VLS0tqKmpCd8vl8uF97iooaFPGMPG3WLNgqayOUo/NQOVzv/cZeb18F7q7jTR/PW9vb3h/qj3XmtIxIG/vAemMrFUxhhjjDFTEu8+U/LIOCwanVrELK6USqNDc6HTWOfCgItcxisBSHiDNahb/8/2VZZHA5a7YZS1ZbNZrFq1CsuXLw+pf9m+Sky5OKitrUV7e3uiRgR3d3UHWRftbIuv0eGk34lotVat06L3UvPbawpj1dRTKspz5/P5IEfSa4+zAunuoqlsbLiXid4IDToDxrao6HHjIMFgmtra2oReTz3u9PCxU3JrjN51DczTlXOaBpjFgjRlViVCj0asw9VBlgMVB0FuXVIyxEGZAy7vLbduOaByi7G5uTncJ+ZlZzaZfD4fBlbqALntW8n3sZLQDCZTSa/S3o93iPQZUU9fsXgLldzo5K3vxcGsKl+jdy9O66a6fD4PuuWcViwl7ZrjoNT4+nWrWre/9bj439aVm/lG+xl17n19fYnUiirFUCOVz6/KzWgY6+4Zd1Pj9KhE0wjHu3oqkVPPe+z9LxQK2LFjR4gJ08BbzrVsi97u7u7ukNmN5+OuHdNh8pp1YaIpatMCPjV9I8c9Bv/G343jjXr2Ne5FpTi8fv5WusApFAro6+tL1CeZaow2lYEN9xnAB51b7Jz0NbBF9XbcVqRkgwY5PQA1NTVYsWIFli9fjp07d4aCQxrQQg09s6vwvFqFLs0oSJvg57pjqrHEe0VtLwcolRzo1h6DgbSKKr0FzK+uBrxWRWWQn2YQaW5uxh577BEWSVu3bk3kE2aWEh3cbLSXTzyJFrt3xZ5HTk7qtYrlIRoglqYL5bOmUhX1VGk77Gc8b2trK/bYY49wPjWkVaIVb9+rFla/B69NjYU4rR1Rwz32TqYtauJ74+fUAbLGmIWPDfcZwJvH7ShqzjRCXPV71GFzElZjm8Z7c3Nz0LizTfXU6efpBVBPQSVudamRQS0dMLFUNd+jgdXQ0BC87gBCWkb9rkNDQ2ErVj04fI9ZQlgQh9pEpufUVINpRpOZHsXuXZqXeDLjs5jnPt5uj43b+E/syWYf1W1rYKy/0svFRblu/6sBD4xrU6lPra2tDcfo9cQZHPg5zQyhhnux+zBbhroNXDNT+FwPDQ2hr68vpCZkzQwSZzbTqsbAeECpfoZzg9YoUe+5ykY08wp3TbW/AkgEplMfvnPnTmzbtg09PT2hmJE63NiH6SjjfKE7ixwvmKGGtgBrsQAIWdJ4vXFiBgDBmcf5nRIdfhYYL1ylKaPpwONuIIBEoKw6N3RMGhkZCUkdtE6JxwSjLEjDnWgmF80NDox5iZ/znOegpaUlBJH09fWFlJDAeLBloVBAV1dXyGYyMDCAurq6kHKyUCiESHvdklTDvRgz7ZCTSSDKQY0nXTVqkF99fX3wUqqhzx2I0dHxwh808Jm2D0DYtm1oaEAul0Nvb29Iocljtm/fHrz2cUDOXAxexXJpLyTUeE5jqmeoWJaVtFztKoeJjdp4a53XpWnhNMBrdHQUjY2NQWKl2Yk4WWulXQATvOla4IS5kPmca6AZz8sFvkrq1MCP7+t0mCz4fCE/g2Z+4L2mXIavqROFUhY+05SNqEFaX18fjFHOAxzbdecKGN/Z0gJsei1p82Dcp+L0kDSCdR7g8bGGXhMdAAhZXnhu/aOFjLjA6O/vD/M1d56BsTFDxyPeO03gAIyPWwxSZUA7HVFsqxg8H3etqaX3zvLMOe+88/C2t70NBx54IPL5PP7whz/g3HPPxX/+859wzG9/+1sce+yxic9961vfwoc+9KGyzmWP+yygK1X+rZ5ArpQ5eTNzBQ0Ezds8ODiInp6eYCzU19cHCQizoMSr/nhwq2Tia9UBUiUGNII09y2NqFiryHaZNaCvry9kJeBOBjWDKk9SL4MHrdlhJvcxnojjZwNI14dP5qVXD/bg4GDCU0b9OM/BrDOMPVGdLY9JQw1x7ZO6cOCzxkW9ZsaJrzPtO80W5bZrz7yZDD7nmr+cxjsw5l3XBTgdLS0tLYmaCtxl5riswaoqXYznOfUmK5qRid5nSi21/2kb2md17GE/pSdbFwGaFpZOJh6njjnVn/NeqVyWUtk4LWTsBKyvrw/fh3nZmUlOjXLOf7FkjzYHnQs22mePY445BldeeSXuu+8+1NTU4Itf/CJ++ctf4iUveUnY6QeAb3/727jgggvC//W9UrHhPkvEN4gddXBwENu2bUNfX19Y6XN7XgcJrtDZcfU1/rAcIDko6bnnWt4x1x2bxg2lR1plVlPw6QCtQUc6CGpKPk2tpd9jvvXri31gLDX1KNHJXu/dZIbkVAZ8nO5N/2bGhTjjw+joaMiFvGvXrhBjogHTGrPCugL5fD5xDjUA9LpUKjNXz+N020yLMZgKTV+52J/5xUKcZIAeYWBckqY7xCo142eAcbmILgCA8edQPfk8XiU3AML8QeNWjWZeA3d01QnAuUTR2gt6DsZDAQgxMswco4txvT86/uicpefkwoSSGqaM1XvL76gJKGjE8zg1/nVHXg13LpQcxzV7HH/88Yn/r1+/Hl1dXXj5y1+O3//+9+H1XC6HLVu2zOhcNtxRWjGi6cKctlrlNK199erFkoK0ra/Zkq5UEhyESCaTSWQaSBtk0u5nOV7Ccg1KM79MZoyX83lOdnE8AykUCqEkOPsbJ9iWlha0tbWFiTdeOKtXT2swpD1b8eIhbocSgNnYQZutsaHU/sSxayGOTWZqKIPkzjAw9rxns1nU1NQE45WB2YwlobGqdTbopAKStRTUw67pE9Xz3dfXFzzQWrWYkpPGxsZEzIsaxhrQrlJMxlsVCoVE1jh613O5HJqamkLueZXyZDKZRKVUNdzTMqZxd4DGeFzULW1c4Y5hfL94H+OiT5qxx/10bmhrawMwJstV1q1bh1NOOQWdnZ346U9/is9//vNhd6ZUbLhjfIWq3q+5YqobOV8/SDWQZsCUYsiVc28Ww32sBObzPqfFE+iODpDUyGcymUR6Nxr0nFjr6urQ3t4e3tNqxqqDV6NcdbTqgS7Wv+m5V63tZPEC80G55y+2S2IWPtqv4krHNFa5MFUdN2E+8kwmEwxrzdQUo97qWOIS/zv2bvP42JBWWY4+++r5Z/VuTUfJdMS6sNc2mGBCd9PTPPxKmi2iiwq9ryrV4/v0wscFGVV2tLvHl4VMJpPBpZdeirvvvhv/+Mc/wus33ngjnnjiCTzzzDM4+OCD8eUvfxkvetGL8Pa3v72s9m24G2OMMWZGpEk21XhtaWkJGm01Iukd37lzJ5qamtDe3p5IfRwnYqC3nYvvOBuNZpJRzzZfp/ebiRCYY10lPur9ZlvUmDOQnW3Rww+M69n1urj7xgWIGuOxZI+GfSw/AhAqy8bQaNegemrf+e94t9qZ0+aWK6+8EqtXr8ZRRx2VeP2qq64K//773/+Ojo4O/OY3v8H++++PRx99dL4vc0oq3nC3ZKIy8cBiZoNYNxtPitStqtSDHi0NVKNnMPYwUtPOc+gEywmzlIw78b+rEffZxUuxfjY6OpqQwgBISMZojDPrjAaiqlSSu2b0Ysfebd0tU096vFBgn1SJDc/B/6sXXY14BtUCSEh8dMct7btTyqIpLDXzFI1+9chrOmh+Rq9N7wHbUsNdg2G1X7qPzh1XXHEF3vzmN+Poo4/G008/Pemxf/rTnwAABxxwQFmGuz3ugLVexlQw5Uovih2rg50a6AAS2/caLLdr1y709vaio6MDNTU1ibR1AMIEScNd80trNgdOtMWMdxojHIe8jW2MMdXFFVdcgbe+9a049thj8fjjj095/CGHHAIA6OjoKOs8Ntwxd7m7jTGzw2wFPLKdOPsJPXyxPn50dBT5fB7d3d0JTxvR+gPFvOaqqZ0sRiP2UhpTjejzq5nQmKihqakp6Nh5DDAeoDkwMJBoj1KZuF9oLIgudLVWAj/HdI4AQsAqPd6MT1GvPPu0ylqY6SzObhN7zfU6AIQaDyzCODIygsbGRrS0tIT2BwYGQopGIJlmkt9NdewcS7TYkkpz+LpKZDyuzC1XXnkl1q5di7e85S3o6+vDypUrAQA9PT0oFArYf//9sXbtWvz85z/Htm3bcPDBB2PDhg2466678NBDD5V1LhvuxpiKZjYmHNW7ss20CU3/TWNcDYxYr0oDgTpZamnTinpNNtjGMp2FMMkuhqJjJp342ecCl/VMACQkaZSPjI6Ohj5GIzXNGGb/SsvrziBv1u2gIavXxuM0m4sWMtQFAaUrlPPEmWhUGsd+rN9PM9TwWKaYZSCvGtrAuJGu59IUx3pPmcJWFxCac95G+/xw+umnAwDuuuuuxOvr16/Htddei6GhIaxZswYf+9jHkM1m8b///Q+33HILvvCFL5R9LhvuxphFQWwYT2VMa1EVSmRYxImp7Dix6sKAmt00w73U66z2iXahLULM9GH/oEebec+1AFNjY2MIENWUj5PJ29SoZlsMIKVUjaka4x2xpqamUJFcM88QGsFMI1lbW4v6+no0NTWFtLEAgn6cwatahE0zuADjMTM0yhlsC4wb7urJ5zXHee5jbzrHKW1L87y7/80PU8UmPfXUUzg2qppa6VSU4f7CF74Qp512Go444ggcdthhaGhowL777osnnnhiwrGXXHIJjjnmGOy7775oaGjAE088gZtuuglf/epXJ2zpGbPQKKevVDKqIef/p5rQ+Bmmf6R3DkBiy5rF1FjRON5iny/vyEyYbSPbBoNRNJg79i6PjIyE4E1NzaxeZQCpO2YxNHS5gFZjXIM86+rq0NjYGLLZxEYX22C/V0/+0qVLEykvdWFBL76el4HvupDnWEFpDI/h53mv0oo5sWIq26RjQRcTjtlb2CxKj/uRRx6Jj370o/jnP/+JzZs349BDDy167Ctf+Ur8/ve/x3e+8x0UCgUceuihOO+887BmzRocffTR7hxmQVNOX5kPZmJglmtM8ngWVZrs3LNlqHo8MQsdlc8AY55pBnez+JDGnbBPFAvupiSGbdMQV+03FwdAsuKqevc1B7vuEPAPC0upka9ZXQjbjfOuazv6OjBmkOvihd9fq4UzS8zAwEBwJtCQV427x5CFz6I03H/yk5+gvb0d/f39OPvssyc1Rl772tdOeO2RRx7B1772NRx++OEhnY9ZuMSBjIuJcvrKXKKTrqaFmw9KCRqdq2uh53Cuv2sp7cdSBX5usfUJM33U8x7vSsVBlnw9lsowVaIupFWWMjw8nDDcY+JUrfxbPdwqedOgVXrg6+vrASCkeCSqa4/PRzlLPp8PixCOawx4Vbkdj6Ghz4JK+XwehUIhLGzirHjukwuf+TLcJ1YNmIRjjz0Wo6OjOPHEEye8d/LJJ2N0dBSvetWrpn0xO3bsCCWZpwPT/LS3t0+7DWNmg4aGBmzevBmbN28OumsAWLZsGZ555hncc889qUU7SmWmfcUYY2LUo07pRz6fR39/P3p7e9HX14f+/n7kcrlQ/ZOSNBr9o6OjCU08qampCcGfzc3NaGhoCF5sylT6+/vR1dWF7du3o7e3F4ODgyEbTZzFJg5UpQRHK6hqoGihUEB/f38IGiWaKpafZ5v8HA3zXC6HgYGBcA/4/3w+j8HBwUTcjV6XjfbFQRyjNdmfmVCWx/3OO+/Ek08+iXXr1uHHP/5x4r1169bhv//9L+69917U1dWhpaWlpDa3bdtWziUkWLp0Kdrb21FXV4fVq1fjC1/4Anp7e7Fp06Zpt1npzJenrxpQj3ulUSgUcOqpp+Kee+7BRRddhLPPPhvAWGqqtrY2rF+/Hrt27Zq3vjIbpN1r9WTN9e+QJonZHb99nJ1id12HkuZxn+22d/d3NHOLSl+A8TSQwJhXmUatGroAQtYmfkaDwtVTrqkga2trQ2XWODsUP8/zxHUd6MmO42LitK8ajK4BoQyYbWhoSOwaxEY7MF5xVau80jtPHTz1+Gqwe442c0nZUpnrr78eZ511FlpbW9Hb2wsA2GOPPfCGN7wBF110EYAx7/vGjRtLam8m1Qhf8YpX4N577w3//9e//oUTTjgBO3bsmHab84FWjSu1c+uAR+/EYi8Gw+3RSh0gN23ahIsvvhjnnnsufvSjH2HlypU4+eSTceaZZ+Lhhx8GMH99ZTZIu8+apm13GtHzee5iwXfzfR2Ensf4tdlAjafJClUZY4yZnzmgbMP9uuuuwyc/+Um84x3vwDXXXAMAOOmkk1BbW4vrr78eAHD77bdjzZo1s3ulKfzzn//EmjVrkM1m8epXvxpr1qxBc3PznJ93JtCTUK63OK4aubuNuEqhUo12cuGFF+LNb34zrr32WjQ3N+POO+/E5ZdfHt6fr74SM1ve4rhYy1yS5u2Pd6Dmywsen293LyDn6txxeXqzeFDPNxeHfC1eqGcymVDMSL3v1JyzHQ3YZB53eu5jnTznusHBwUQRo7iAEY+nZ5zHxVpzoseoVl2/t45rmotd894z8DZN017p85KZGyo2OPXf//43Nm3ahHXr1gXDfd26dfjjH/+IRx55BADQ2dmJzs7OGV1YKfT19eHXv/41gLFgvZNPPhm33norDjvsMPztb3+b8/NPhzTvWCnQs1koFADMj6FkZs7OnTvx3ve+F/fffz/y+Tze8573JN6fr74SsxAmFnqDdedqLiUjaZQSIFvNMADQhrtRoyTt3zTegbHnZunSpSFIlNVQGchZKBSCJl53k/k5/qE0hbKUwcHBCXnQdRxQaQ6vQ6svx3nh+W9ms1GNv36ei4X4/wAmXI9ZvFSs4Q6Med0vu+wyPO95z0N9fT2OPPJIfPjDHw7vNzQ0oK2traS2tmzZMp1LSOWHP/whvvvd7+Jd73pXxRruwPR+tPn0bJrZ5Y1vfCMAoLGxES94wQtCEDWw+/rKQkCzWagul3ginR3mYszZ3TsUpnRi/Thf0+dCjXhq3mtra8PnstlsyNDCwFcN3ozPQ+OZwa/q3VZtO/+mwR3Hn2gwIMcKOr80ew41+DTMdb6loc5rjY+x0W5IRRvu3//+93HJJZfg5JNPRmNjI4aGhnDTTTeF90866aTdottlhbRSDSGzMInlC5N1krnWJh900EG44IILcM011+CQQw7B1VdfjYMOOijEh+yuvrIQoDdYf+M0YyImraiLfsaT8Nzje1wdqFc7zRgGxvscDXIWQ2poaAhSmZGRETQ0NATPu+4cq5HMMVuzwcSGuxr4pWTr0AD6OOA2NurjHTT1wMcyGD/DZncxLcN927ZtuO2223DKKaegoaEBv/jFLxIZL+Zat9vW1oaBgYEJuWDf//73AwDuv//+OTu3qXx0oJ4qAHguDfeamhps3LgRzzzzDM4880zst99+uO+++7Bhwwa8733vA7D7NO4LAU6q8Wulkpb/vNw2jFkMlJLJST3Qmg4RAHK5XPC4U7NOWYyOwczOornStdiR6uz5mVKMac12E+/OxVr+uB31tE91D8zipqI97sCYXOaWW24BAJx//vmJ96ar221tbcUZZ5wBAHjNa14DAPjIRz6C7u5udHd348orrwQwlk/+8ssvx80334yHH34YdXV1eO1rX4u3ve1tuO+++0KQrFmcsFPERt1kx84Fn/70p3HIIYfguOOOQ39/Px566CF87nOfw0UXXYSbb74Zt91225z3FTM1GnxnjJlIKQYJDXUaxEybCIwHuVEBYQAACftJREFUnjIlJKuRUt/Oz2tFVf6fshpeR3xdaa+nvTZV/EulpJs11ct8Ge4ZANNqoba2Fp2dnViyZAn22muvEDwyE/bZZ5+E/ld5/PHHsd9++wEA9t9/f1xwwQU46qijsGrVKmQyGTzyyCO4+eab8ZWvfAW5XG7G12Kql3ICFOfK437ooYfiT3/6E775zW/izDPPDK8vWbIEf/zjH/G85z0PL33pS9HT0zOt9kvtK2YiKqWKs2YAnqyNmQlpu1gaj6IFlZhRhsewH9LLnZYVphQjfbJrSzP+HRtjZkJLSwt6e3tx1FFHYWBgYMrjs9ks7r77brS2tqKvr6/s803b487V8E9/+tNZMdoB4IknnihJx/voo49i/fr1s3JOs/CohIH3r3/9a8iwoOzatQtHHHHEjNsvta+Y4sSp5CrhuTGm2ilmWGtmIpWp6ThGHbrq52MvZrke8VKMcvd9MxtUvFTmxBNPxJ577onrrrtuRhdgKgt6ROKBc6GykL+bSSdNv+rnwBhjzEyoWMP98MMPx8EHH4zzzz8ff/nLX/C73/1uRhdgKgvmxE3L0mHMQsNGuzHzQ5qnPN41jIsLFuuf5fTZtHSW02nHmEqhbMP9Qx/6EE455RQ88MADlqssQDTFHuCBzRiz+5nrtK1m91BMb16OZj2tnanOY8xcUPHBqcYYY4wxxixmGJz6qle9quTg1HvvvXf+g1ONMcYYY4wxFaxxN8YYY4wxxowzX4b7khl92hhjjDFzwutf/3pcffXVeOihhzA8PIzHHnus6LGZTAaf+MQn8OijjyKfz+PBBx/Eu971rnm8WmPMfGDD3RhjjKlA1q5di7Vr16KnpwfPPPPMpMdedNFFuPjii/GrX/0KZ5xxBp588kl873vfw0knnTRPV2vM4oYe91L+zAQHpxpjjDEVyKpVq9DV1RWKHa5evTq1KvJzn/tcPPbYY/j2t7+NM844I7x+1113Yb/99sO+++7r1L7GzBEMTn3FK15RcnDq/fffP+3gVHvcjTHGmCnYZ5995syDVoyOjg4MDw9Pedxb3vIW1NXV4Rvf+Ebi9W9+85vYe++9ceSRR87J9Rljxpkvj7uDU40xxpgp6OrqwimnnJJ4rba2Fhs2bMDQ0BAAoLGxEU1NTVO2NTIygu7u7lm7tkMPPRT9/f3YvHlz4vVNmzaF9++5555ZO58xZiLOKmOMMcZUCLlcDjfccEPita9//etobm7G61//egDAOeecgwsvvHDKth5//PFUyct0WbVqFbZs2TLh9Y6ODgBjUhpjzMLAhrsxxhhTJu9+97vx4Q9/GGeddRbuvPNOAMB1112Hu+++e8rP5vP5Wb2WxsZGDA4OTni9UCiE940xc4s97sYYY0wF8rKXvQzf+ta3cOONN2LDhg3h9ccee2zSlI1ptLa2JgzroaEh7Nixo6w28vk86uvrJ7ze0NAQ3jfGzD1zFe+i2HA3xhhjSqS9vR233HIL/vOf/+D9739/4r1sNovm5uYp2xgZGcHWrVsBAJdddhnWr18f3rvzzjvxute9rqxr6ujoSP3MqlWrAGDKVJLGmJljj7sxxhhTQWQyGdxwww1ob2/HmjVrJniyP/7xj5etcb/44otx/fXXh/fK9bYDwAMPPIAPfOADePGLX5wIUD3iiCPC+8aYucWGuzHGGFNBfOYzn8Eb3/hGHH/88Xj88ccnvD8djfvmzZsnZIMpl1tvvRUbNmzA6aefnsjjftppp+Gpp57CH/7whxm1b4ypHGy4G2OMMVOwevVqnH/++fjd736HPffcE+vWrUu8f8MNN0xL4z4ZBx10EE444QQAwAEHHIC2tjZ86lOfAgA8+OCD+NnPfgYAePrpp3HppZfinHPOQW1tLe677z6ceOKJOProo7F27VoXXzJmHpgvj7srpxpjjDFTcMwxx4TsMWlkMplZP+epp56KjRs3pr63ceNGvOc970mc/9xzz8UHP/hBrFq1Cg8//DC+9KUv4cYbb5z16zLGjMPKqQcddBD6+/unPL65uRkPPfTQtCun2nA3xhhjjDFmGtBwX716dcmG+9///vdpG+6WyhhjjDHGGDMDHJxqjDHGGGNMFTBfhvuSGX3aGGOMMcYYMy/Y426MMcYYY8wMsFTGGGOMMcaYKsCGuzHGGGOMMVWADXdjjDHGGGOqAAenGmOMMcYYYwL2uBtjjDHGGDMDLJUxxhhjjDGmCrDhbowxxhhjTBVgw90YY4wxxpgqwMGpxhhjjDHGmIA97sYYY4wxxswAS2WMMcYYY4ypAmy4G2OMMcYYUyXM1CgvBRvuxhhjjDHGzAAHpxpjjDHGGGMC9rgbY4wxxhgzA6xxN8YYY4wxpgqw4W6MMcYYY0wVYMPdGGOMMcaYKsCGuzHGGGOMMVWAs8oYY4wxxhhjAva4G2OMMcYYMwMslTHGGGOMMaYKsOFujDHGGGNMFWDD3RhjjDHGmCrAwanGGGOMMcaYgD3uxhhjjDHGzABLZYwxxhhjjKkCbLgbY4wxxhhTBdhwN8YYY4wxpgpwcKoxxhhjjDEmYMPdGGOMMcYsWk4//XQ89thjyOfzuPfee/HKV76y7DbocS/lz0yw4W6MMcYYYxYl73znO3HJJZfgs5/9LA477DA8+OCDuP3227FixYqy2rHhbowxxhhjzBxy1lln4aqrrsLGjRuxefNmnHbaacjlcnjve99bVjs23I0xxhhjjJkjamtr8fKXvxx33HFHeG10dBR33HEHjjzyyLLami/D3VlljDHGGGPMomOPPfZATU0NtmzZknh9y5YtOPDAA8tqq7W1dVaPK4YNd2OMMcYYY6bB0NAQOjo68NRTT5X8mY6ODgwNDU3rfDbcjTHGGGPMomPr1q0YHh7GypUrE6+vXLkSnZ2dJbUxODiI/fbbD3V1dSWfd2hoCIODg2VdK7HhbowxxhhjFh07d+7En//8Zxx33HG49dZbAQCZTAbHHXccvv71r5fczuDg4LQN8XKx4W6MMcYYYxYll1xyCa699lrcf//92LRpEz72sY8hm83iO9/5zu6+tFRsuBtjjDHGmEXJD37wA6xYsQKf+9znsNdee+GBBx7Am970Jjz77LO7+9JSyQCYWV4aY4wxxhhjzJzjPO7GGGOMMcZUATbcjTHGGGOMqQJsuBtjjDHGGFMF2HA3xhhjjDGmCrDhbowxxhhjTBVgw90YY4wxxpgqwIa7McYYY4wxVYANd2OMMcYYY6oAG+7GGGOMMcZUATbcjTHGGGOMqQJsuBtjjDHGGFMF2HA3xhhjjDGmCrDhbowxxhhjTBVgw90YY4wxxpgqwIa7McYYY4wxVYANd2OMMcYYY6oAG+7GGGOMMcZUATbcjTHGGGOMqQJsuBtjjDHGGFMF2HA3xhhjjDGmCrDhbowxxhhjTBXw/7l9wEdQ6GN+AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from nilearn import plotting\n", "from nilearn.image import index_img\n", "\n", "\n", "frame_index = (pet.frame_duration == 5).argmax()\n", "plotting.plot_anat(index_img(pet.img, frame_index), colorbar=True, draw_cross=False);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot a weighted mean of all time frames, where each frame is\n", "weighted according to its duration:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotting.plot_anat(\n", " pet.dynamic_mean(weight_by=\"frame_duration\"),\n", " colorbar=True,\n", " draw_cross=False,\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time activity curve\n", "\n", "We can extract the time series data (called the time activity curve, or TAC) for\n", "a single voxel:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "voxel_index = (100, 100, 100) # an arbitrarily selected voxel\n", "\n", "voxel_tac = pet.dataobj[*voxel_index, ...]\n", "time = pet.frame_mid\n", "\n", "plt.figure()\n", "plt.plot(time, voxel_tac)\n", "plt.xlabel(\"Time (minutes)\")\n", "plt.ylabel(f'Radioactivity ({pet.json_dict[\"Units\"]})')\n", "plt.title(\"Time activity curve (TAC) for a single voxel\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Temporal split\n", "\n", "We can split the 4-D PET image (in time).\n", "This operation splits the data matrix and generates PET-BIDS jsons for the split\n", "images, and yields two `PETBIDSImage` objects." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "pet_0to60, pet_60to90 = pet.split(split_time=60) # split_time specified in min" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'Manufacturer': 'Siemens',\n", " 'ManufacturersModelName': 'Biograph mMr',\n", " 'Units': 'kBq/mL',\n", " 'TracerName': 'LondonPride',\n", " 'TracerRadionuclide': 'C11',\n", " 'BodyPart': 'brain',\n", " 'InjectedRadioactivity': 400.0,\n", " 'InjectedRadioactivityUnits': 'MBq',\n", " 'InjectedMass': 5.0,\n", " 'InjectedMassUnits': 'ug',\n", " 'SpecificRadioactivity': 35.0,\n", " 'SpecificRadioactivityUnits': 'GBq/ug',\n", " 'ModeOfAdministration': 'bolus',\n", " 'TimeZero': '09:45:00',\n", " 'ScanStart': 0,\n", " 'InjectionStart': 0,\n", " 'FrameTimesStart': [3600.0, 4200.0, 4800.0],\n", " 'FrameDuration': [600.0, 600.0, 600.0],\n", " 'InjectionEnd': 30,\n", " 'AcquisitionMode': '3D',\n", " 'ImageDecayCorrected': True,\n", " 'ImageDecayCorrectionTime': 0,\n", " 'ReconMethodName': 'MLEM',\n", " 'ReconMethodParameterLabels': ['iterations'],\n", " 'ReconMethodParameterUnits': ['none'],\n", " 'ReconMethodParameterValues': [100],\n", " 'ReconFilterType': 'PSF',\n", " 'ReconFilterSize': 2.5,\n", " 'AttenuationCorrection': 'Activity decay corrected'}" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pet_60to90.json_dict" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Save 4-D PET image\n", "\n", "We save the 60-to-90 min image (along with its PET-BIDS json):" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "out_fname = pet_fname.with_name(pet_fname.stem + \"_60to90min\").with_suffix(\n", " pet_fname.suffix\n", ")\n", "pet.to_filename(out_fname)" ] } ], "metadata": { "jupytext": { "formats": "ipynb,py:percent" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 4 }