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@balbinot
Created November 8, 2019 15:13
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Gala stuff
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{
"cells": [
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-11-08T12:40:17.440735Z",
"start_time": "2019-11-08T12:40:15.673712Z"
},
"trusted": true
},
"cell_type": "code",
"source": "# Third-party\n%pylab inline\nimport astropy.units as u\nimport astropy.coordinates as coord\nfrom astropy.io import ascii\nimport matplotlib.pyplot as plt\nimport numpy as np\nfrom collections import OrderedDict\nfrom yaml import load, safe_load\n\n# Gala\nfrom gala.mpl_style import mpl_style\nplt.style.use('fast')\nfont = {'family' : 'serif',\n 'weight' : 'normal',\n 'size' : 20}\n\nplt.rcParams['axes.linewidth'] = 2 # set the value globally\n#rcParams['axes.linewidth'] = 5 # set the value globally\nplt.rc('font', **font)\nplt.rcParams[\"figure.facecolor\"] = \"white\"\nplt.rcParams[\"axes.facecolor\"] = \"white\"\nplt.rcParams[\"savefig.facecolor\"] = \"white\"\n\nimport gala.dynamics as gd\nimport gala.integrate as gi\nimport gala.potential as gp\nfrom gala.dynamics.nbody import DirectNBody\nfrom gala.dynamics import mockstream as ms\nfrom gala.units import galactic\nprint(plt.style.available)\n",
"execution_count": 1,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Populating the interactive namespace from numpy and matplotlib\n['grayscale', 'bmh', 'tableau-colorblind10', 'ggplot', 'seaborn-whitegrid', 'classic', 'seaborn-poster', 'seaborn-pastel', 'fast', 'seaborn-dark-palette', 'seaborn-colorblind', 'dark_background', 'seaborn-darkgrid', '_classic_test', 'seaborn-dark', 'seaborn-bright', 'fivethirtyeight', 'seaborn-white', 'seaborn', 'seaborn-ticks', 'Solarize_Light2', 'seaborn-talk', 'seaborn-muted', 'seaborn-paper', 'seaborn-notebook', 'seaborn-deep']\n"
},
{
"name": "stderr",
"output_type": "stream",
"text": "WARNING: AstropyDeprecationWarning: astropy.extern.six will be removed in 4.0, use the six module directly if it is still needed [astropy.extern.six]\n"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-11-08T13:06:19.227935Z",
"start_time": "2019-11-08T13:06:15.939737Z"
},
"trusted": true
},
"cell_type": "code",
"source": "## Sun phase space and convenient definitions\nv_sun = coord.CartesianDifferential([11.1, 250, 7.25]*u.km/u.s)\nd_sunGC = 8.1\nwang = 180*u.deg\ngc_frame = coord.Galactocentric(galcen_distance=d_sunGC*u.kpc,\n z_sun=27*u.pc,\n galcen_v_sun=v_sun)\n\n## Perturbers to be added as a DirectNbody class\n\n## Use Json/YML style definition for perturbers. Include LMC? \nconfig = \"\"\"\nbodies:\n lmc:\n ra: 78.77 # Dyn HI\n dec: -68.01 \n dist: 49.59 # Pietrozski 19\n pmra: 1.872\n pmdec: 0.224\n Vr: 262.2\n pot:\n type: Plummer\n m: +2e10\n rs: 1.5 \n smc:\n ra: 16.26\n dec: -72.42\n dist: 61.66 #Graczyk 2013\n pmra: 0.874\n pmdec: -1.229\n Vr: 146.0\n pot:\n type: Plummer\n m: +1.0e9\n rs: 1.0\n sag:\n ra: 283.7638\n dec: -30.4798\n dist: 24.13\n pmra: -2.73\n pmdec: -1.38\n Vr: 143.06\n pot:\n type: Plummer\n m: +2.5e10\n rs: 0.8\n\n\"\"\"\nRA = []\nDEC = []\nDIST= []\nPMRA = []\nPMDEC = []\nVLOS = []\nPOT = []\n\ncfg = safe_load(config)\nfor k,v in cfg['bodies'].items():\n RA.append(v['ra'])\n DEC.append(v['dec'])\n DIST.append(v['dist'])\n PMRA.append(v['pmra'])\n PMDEC.append(v['pmdec'])\n VLOS.append(v['Vr'])\n \n #change mass with time\n ft = np.arange(0, 1, 3000)[::-1]\n ft = 1 \n POT.append(gp.PlummerPotential(m=ft*float(v['pot']['m']), b=v['pot']['rs'], units=galactic))\n\n \ngp.PlummerPotential\n#MW Potential static, fixed\nmw = gp.BovyMWPotential2014()\n\n\nbodies = coord.SkyCoord(ra=RA*u.deg,\n dec=DEC*u.deg,\n distance=DIST*u.kpc,\n pm_ra_cosdec=PMRA*u.mas/u.yr,\n pm_dec=PMDEC*u.mas/u.yr,\n radial_velocity=VLOS*u.km/u.s)\n\ngalcen = bodies.transform_to(gc_frame)\nbodiesw0 = gd.PhaseSpacePosition(galcen.data)\n\nunn = DirectNBody(w0=bodiesw0, particle_potentials=POT, external_potential=mw)\nuorbs = unn.integrate_orbit(dt=0.5*u.Myr, n_steps=3000)\nua = uorbs.to_coord_frame(coord.ICRS)\nuorbs.plot()",
"execution_count": 6,
"outputs": [
{
"data": {
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RlBAjXT3hHpo7mvuSplOSqPYGDnUcwnJy9aLctFzKs8qZWjiVG6fcyJzSOUwrmka6N/00P0lkFJr7QVh7H2x6COZ98KRL/UewRCQ1ZERGsGJSqv3Aa+62KSlPCZYkPL/Hz0XVF3FR9UV09HTw3P7nWL57OSv2rqClq2XA9+Sl51GcUUxxZnFfAlYcOPF9UUYRXuMlGA7SE+4hGA72vU76PnTi+/7nT/k6FKTH9nCs+1hfAtXU0UTYnrwpYqYvk/KscsqzyplSOIXyTOfrsqwy53xmOZn+zJH4nzUlGWMmAN8E1gDVwCFr7X8aYwqB7wC7gEnAV6y1DZH3fAFnC4gC4Clr7Z/jEnyqqTnX+eCz5t5TEqzirHTSvB7thSUJSf1MbPRNEYxFJcGND0KwE/wZ7rYtKUsJliSVgC/AsrHLWDZ2GeBMsTvUeYhDHYdo7mimqaOJ5o5mmjua+86ta1xHc0czXaEuV2MxGPwePz6PD7/Xj9/j70ugzqs4j7LMsr5kqvfVW7hD4qYQ+K219mEAY8wbxpjHgI8Df7XW/t4Ycw1wO3CzMeY84BJr7ZXGGD/whjHmOWvtwJm9uMcYp9jFX74GTVuhZErfJY/HUJmfwX6NYEliUj8TA73rrtwfwZoEWDi8E8rOcbdtSVlKsCSp+b3+vuTlTKy1tAXb+pKv5s5mrLX4Pf4TSZLHj9/rx2d8Jx37X++7z+MfFWvAUo219tW3nPIAbcBVwLci514E7ol8fTXOfntYa4PGmM3ARYCeLo+E2TfB0//PKXax7FsnXaoqCGgESxKS+pnYyOhX5MJV/SsJKsESlyjBkpRgjCE7LZvstGzG5o2NdziSAIwx7wSetNZuMcaUAscil1qBAmOMDygFNvd7W2vk3EDt3QLcEsOQU092CUy+Atb/FpZ+HXxpfZeq8gM8s7UpjsGJnJ2b/Uyq9zGBvjVY4bPcOUSFEwCjSoLiKk+8AxARGWnGmEuAS4DPRk41Ar2l6nKBI9banrec773WOFCb1to7rbULYhNxCpv3IWhvhm1PnHS6Kj+TpmNddPW4/DRbxCVu9zOp3sfEbAQrLRPyalRJUFylBEtEUoox5ipgGfDPQLkxZhHwGLAocssFke8BHu09H3nSPB14bkQDTnUTl0JOpTNNsJ/eSoJ1LZ3xiErkjNTPuK+3THun20UuwFmHpQRLXKQpgiKSMowx84HfAauBZ4As4H+BrwDfNcZMBiYAnwew1r5sjHnGGHMrTnWvf9XC8xHm8cKc98ELP4CjByCvCui3F1ZLB2OLs+IZochJ1M/ERiBWI1gQqVi6CsJhZ28skSgpwRKRlGGtfQ3IPs3lj5/mPbfFLiIZlLkfgOdvh3X3w8VfAKC64MRmwyKJRP1MbMSsiiA4I1jBdjh2EPKq3W9fUo7SdBERSWyF42DshbD2XucJM1Cel4HHoFLtIikiwxfDEayiCc7x8G7325aUpARLREQS37wPQcseePN5APxeD2W5GRrBEkkRHo8hzeeJTYKVnuscu9vcb1tSkhIsERFJfNOuhoy8k4pdVOYHONDSHsegRGQkBfxeutwu0w7gd6YcE1R/Iu5QgiUiIonPH4CZN8DmR6DjCOAUujigKYIiKSPg99IRiyqCvgzn2KOqpOIOJVgiIpIc5t0MoS7Y8AfAKdVe19JJKGzjHJiIjIRAmjc2UwT7RrD0wEbcoQRLRESSQ8VsKJ8Fa51pglX5AXrClsZjeuoskgrSY7UGqzfB0giWuEQJloiIJI95H4T61+Hgur7Nhg9qmqBISgikeWNTpt2nNVjiLiVYIiKSPGa+21kvsfZeqiObDe9XJUGRlBDwxyjB8vrBeCCoESxxhxIsERFJHoECmHYtbPgDVZGtXFXoQiQ1BPwxWoNlDPgzNUVQXKMES0REksu8m6HrKJk7Hqcg06+9sERSREasqgiCMzKuKYLiEiVYIiKSXMYsgYKxsPZeqgpUql0kVQTSvLTHKsHyBzRFUFyjBEtERJKLxwNzPwBvPs/szCMawRJJEaU56TQd6yIci60ZfBnQo75E3KEES0REks+c94PxcEXwLxxo6cBa7YUlMtpV5GXQE7Y0t3W537hGsMRFSrBERCT55FbCxMuYd2Q5Xd3dtLQH4x2RiMRYeZ5TObT+aAwSIX9Aa7DENUqwREQkOc27mayuJi72rNc6LJEUUJGXAUBdLBIsX4aqCIprfPEO4GyMMXcA7cBxYDbwL9ba+si1LwC5QAHwlLX2z3ELVERERtbkKwhmFHNj6G/sP/JxZlTlxTsiEYmh8kiCFbMRrI4j7rcrKSkZRrDarLX/bq39NrAW+HcAY8x5wCXW2q8BnwW+b4zJj2OcIiIykrx+embeyKWetRxq2B/vaEQkxgoz00jzemIzguUPQFAj4eKOhE+wrLVf7fetB2ckC+BqYFXkniCwGbhoZKMTEZF4yjj3Q/hNiLLdD8Y7FBGJMY/HUJaXTv3RGCRCvoCmCIprEiLBMsY8aYxZN8Dr2n735AOXA7dFTpUCx/o10xo5N1D7txhjVscqfhERiQ9TMoWN3qnMaPgzqJKgyKhXkRuI0QhWhkawxDUJkWBZa5dZa+cM8PozgDEmD/g/4CPW2sORtzUCOf2ayY2cG6j9O621C2L5O4iISHy8lHcV5cF9sPeleIciIjFWnpdBfWssEqxMjWCJaxIiwToTY0wx8L/AF6y1u40x74pcehRYFLnHB0wHnotPlCIiEi/7KpbRRgasvTfeoYhIjFXkZVB3tNP9ve98GU6Zdo2EiwsSPsECngJmAb82xvwN+DCAtfZl4BljzK3Aj4B/tda2xCtIERGJj9LiIv7cswi76SHobI13OCISQ+V5GXT3hDni9t53/gywYQhpTz2JXsKXabfWzjvDtdtOd01ERFJDVX6Ae0Jv46bgM7DpQZj/4XiHJCIxcmIvrA4Ks9Lca9jnbGJMTwf4XGxXUlIyjGCJiIicVlVBgLV2Im25E2GNpgmKjGbleU4i5PpeWP5IghXUOiyJnhIsERFJalX5AcCwpfKdcGA1NLwR75BEJEZOjGDFKsFqd7ddSUlKsEREJKmV5Wbg8xhWZv0dePwqdiEyihVnp+P1GPdHsHxO4qZKguIGJVgiIpLUvB5DeV4GO9rSYeqVsP630NMV77BEJAa8HkNZTnoMR7C0F5ZETwmWiIgkvar8AAeOdMDcD0LHYdi6PN4hiUiMlOdlUHfU5URICZa4SAmWiIgkvaqCAAdbOmDCJZBTAet/E++QRCRGKvICMZgi2K+KoEiUlGCJiEjSq84PUN/aSdAamHUjbP8LHG+Md1giEgPlsdhs2B9Zg6UqguICJVgiIpL0KvMDhG2kdPOc94ENwYbfxzssEYmBirwMOoIhWjt63GvUn+kcVeRCXKAES0REkl5VgTO950BLB5RMgar5sO7X4OYTbhFJCOW9pdpbXZzO11tFUGXaxQVKsEQkpRhjyo0xPzPGvNrv3IeNMS8ZY/4Wed3c79oHjDHfN8Z8zxjzifhELWfj7IWFU+gCnFGsxjegbn0co5JUpD4m9mKyF5Y2GhYX+eIdgIjICFsCPAzMecv591pr3+x/whhTDXwemGuttcaYV40xK6y120cmVBmsyvx+I1gAM94FT3zZKXZR+db/q0ViSn1MjJXnOX/vrha66NsHS0UuJHoawRKRlGKt/SNwbIBLnzLGfN4Y8x/GmMLIuWXAa/bESupVwNsHatcYc4sxZrX7EctgZPi9FGennxjBChTAlCuddVg93fENTlKK+pjYK81Jx5hYjWApwZLoKcESEYFnge9aa28HVgN/iJwv5eQPSq2Rc6ew1t5prV0Q0yjljKoKAidGsADmvN/ZE2v7U/ELSsShPsZFfq+Hkux06t3cC8vjBW+aEixxhRIsEUl51trd1tqmyLcrgIuNMV6gEcjpd2tu5JwkoOr8tyRYEy6F7DJYd3/8ghJBfUwsVERKtbvKF1AVQXGFEiwRSXnGmG8bY3rXpE4CdltrQ8CTwHxjjIlcWwQsj0eMcna9I1jhcGS2ldcHs26A7U9CW3N8g5OUpj7GfeV5Ge5vNuzP0AiWuEIJloikFGPMxcDNQIUx5qvGmABQD/zYGPMV4CuR61hr9wO3A3cYY74P/EyLzxNXVX6A7p4wh9r6rbma/T4I98Drfzj9G0VcpD5mZFTkBTjY0uHyZsMBJVjiClURFJGUYq19Fmc9RH//fYb77wPui2lQ4or+lQRLctKdk2XToWKOsyfW+Z+MY3SSKtTHjIwJJVm0dYc4eLSzb5uGqPkCqiIortAIloiIjAqn7IXVa877of515yUio8K0ilwAttS1uteoP0P7YIkrlGCJiMioUFXQO4LVfvKFme8Gjx/W/SYOUYlILEwpd2qDbHY1wcrUFEFxhRIsEREZFfICfnLSfaeOYGUWwpQrYMPvIBSMT3Ai4qqcDD81hQE21w+05dgw+TI0RVBcoQRLRERGjVP2wuo15/3Q3gw7/jryQYlITEwtz3V5BCugKYLiCiVYIiIyalTlB9j/1hEsgIl/B5nFTrELERkVplXk8mZzGx3dIXca1AiWuEQJloiIjBqnHcHy+mHWjbD1CWg/PPKBiYjrppXnELawrcGlaYIq0y4uUYIlIiKjRlV+gGOdPbR2DrDWas77IByE1/848oGJiOv6KgnWuzRNUAmWuEQJlkisvPhD+ONH4h2FSErpqyQ40DTB8hlQPlPTBEVGidrCTDLTvGyuc2kEy5cBPVqDJdFTgiUSK83bYM+qeEchklJOuxdWrznvh7p10PDGCEYlIrHg8RimlOe4V+jCH3ASrHDYnfYkZSnBEokV4wHr0sJbERmU3gTr4NHTJFgz3wMeH6y/fwSjEpFY6a0kaK2NvjG/039oFEuilTQJljHmq8aY5rec+4Ax5vvGmO8ZYz4Rr9hEBuTxgtVTMJGRVJydTprXc/oRrKximLQM1v8OQj0jG5yIuG56RQ6tnT3UHXUhKfIpwRJ3JEWCZYx5G1DwlnPVwOeBz1tr/w34mDFmUhzCExmY8SjBEhlhHo+hquA0pdp7zXkftDXCzhUjF5iIxMTUSKELV6YJ+jOcowpdSJQSPsEyxpQB7wV+9JZLy4DX7Ikx4VXA20/Txi3GmNWxi1ISXWcwxJ5DbSP7Q5VgicTFmKJMdjef4e990uUQKFSxC5FRYEp5DuBWgpXpHJVgSZQSIsEyxjxpjFk3wOta4FbgywO8rRToXzamNXLuFNbaO621C9yPXJLFizuaufi2v/HyrkMj90ONRwtlReJgXHEWu5vbTr8mw5cGs26ArY9rTyyRJJeb4ae6IMDmehcqCfoiI1jabFiilBAJlrV2mbV2zltfwEEgCHwC+CQQMMZ8KTIVsBHI6ddMbuScyCme3tJIVpqXubUFZ7/ZLUZrsETiYXxJNh3BEPWtZ1hHMed9EOqGTQ+OXGAiEhPTKnJdGsGKrMEKag2WRCchEqzTsdauttb+g7X2O8CPgQ5r7XestduBJ4H5xhgTuX0RsDxesUristayYnMjF00uIc03gv/JG6MESyQOxhdnAbC76QzTBMtnQek5sE7VBEWS3bSKXN5sbqOjO8rKvb0jWMH26IOSlJbQCVYvY8xE4FM4I1hfNcZkWWv3A7cDdxhjvg/8LJJ4iZzkjbpW6ls7uXTqgDNIY0drsETiYnyJk2DtPNM6LGOcUawDr0HT1hGKTERiYVp5DmEL2xqinCbYuwZLVQQlSkmRYFlrd1hrP2+tzbLWftNa2xY5f5+19l+stZ+z1v403nFKYlqxuRFj4G1T4pFgaR8skZFWlpNBwO898wgWOOuwjFejWCJJblqkkuCW+iinCaqKoLgkKRIskWg8vaWR2dX5lOSkj+wP1j5YInHh8RjGFmexq/n4mW/MLoVJl8GG30FYD0NEklVtYSaZaV4210U5gtVX5EIjWBIdJVgyqjUd62L9/haWjvT0QNAUQZE4Gl+SdeZS7b3mvA+O1cGuZ2IflIjEhMdjmFKeE32hi74iF1qDJdFRgiWj2t+2NmItXDpNCZZIKhlfnMW+w+1095zlb3DyFZCRr2mCIkluarlTSfC02zMMhqoIiksGlWAZYw4bY3ad4fVwrAMVGZgJf3UAACAASURBVI4VWxopz81gemR+9ogykT8v7YUlMuLGl2QRtrD38FlGsXzpMONdsOUx6B7hzchFxDXTK3Jo7eyh7mgUyZEvkmBpHyyJkm+Q933fWvut0100xnzRpXhEXNPdE+a5bU28Y24VJ6r5jyDjdY42jAaLo2eMOQy0nOGW16217xipeCSxjSvOBmBXUxsTS3POfPO0a2D13bDzGZh29QhEJ4lK/Uzymhp5kLq5rpXK/MDwGvGlA0ZFLiRqg/3U94uzXP9VtIGIuO2V3Ydp6w7FZ/0VOGWgQdME3fN9a+34072AlfEOUBLHuMheWLsGsw5r7BJIz4Otj8c4KkkC6meS1JRy50HKlvooCl0Y40wTVIIlURpUgmWtPWiMuccYk997zhhTYIz5eeR6XawCFBmup7c0kO7zsHhCcXwC6J0iqATLLXrQI4OWF/BTnJ129lLtAF6/U01w2xOqJijqZ5JUboaf6oIAb0Rb6MKXoSqCErWhzFuaZa3tGza31h4B5rofkkj0rLU8vbmRCyYWE0jzxicIT+8UQX1gc4Me9MhQjSseZCVBgKlXQvsh2PdKbIOShKZ+JrlNq8hl80EXKgmqyIVEaSgJlscYU9D7jTGmkMGv4RIZUTub2th7uJ1L4zU9EDSCFRt60CODNr44++x7YfWaeBl4/LD1sdgGJclA/UySmj+mgF3NbTS2RlPoIkNl2iVqQ0mwvg+sMsZ8wxjzDZx5yN+LTVgi0VmxpQFACdboowc9MmjjSrJoPt7N0Y7g2W/OyIVxF8KWxyGaMs8yGqifSVKLJxQBsGrXoeE34s/UFEGJ2qATLGvtr4DrgYbI63pr7b2xCkwkGk9vbmRaRe7wKwm5oa9Mu6YIukgPemTQxkcKXQx6muCUK+HwTmjeFsOoJAmon0lS51TmkZvhY+WOaBKsDBW5kKgNOsEyxmQAVwBLgUuAZZFzIgnlaHuQ1XuOxK96YK++Mu16Gu4WPeiRoRhf0ptgDXKa4JQrneMWTRNMZepnkpfXYzh/fBErdzUPvxEVuRAXDGWK4K+Ac4AfAv8DTAPU4UjCeXZ7E6Gw5dJpcU6wwpFpSR7tgeUWPeiRoagtzMJjnL2wBiWvCirmqFx7ilM/k9wWTyhi3+EO9h0e5joqf0BrsCRqQ5lTPMVaO7vf988YY9a7HZBItFZsbqAoK43Z1flnvzmWjjc6i+Yz4hzH6PIr4BjOgx6Am3Ae9LxnsA0YY8qBbwKzrbULI+cygNuBA8Ak4DvW2m2Rax/AWeAeAnZaa3/qzq8isZbm81BTmDm4vbB6Tb0KnrkVjjVATlnsgpNEFlU/oz4mvhZPdLZmWbmzmRsLa4fegKoIiguGkmCtNcacb619CcAYcx7wYmzCEhmenlCYv21rYunUMrweE99gjjdCdtmJDYfFDW486FkCPAzM6XfuX4C91trvGWNmAncDFxpjqoHPA3OttdYY86oxZoW1dns0v4SMnHHFWYPbC6vXlCvhmW/BtuUw/8Mxi0sSWrT9jPqYOJpUmk1xdhordx7ixoXDSbAyNYIlURvK3KXzgJXGmDeNMW8Cq4CLjTGvG2M2xCQ6kSFau6+FlvYgS+M9PRDgeL2egLtvrTHm/N5vhvOgx1r7R5yn0/1dhdOnYa19HZhtjMkFlgGvWdu3kG4V8PZhxi5xML44m93NbYTDg1wLWXYO5Nc61QQlVUXVz6iPiS9jDIsmFLNy5yHscNZAp2VD11v/7xMZmqGMYF0RsyhEXPL05kZ8HsOFk4rjHYozgpU/jKdncibnAR80xuyNfF8LbDbGvA5Ya+2sYbZbyskfiFoj5053/hTGmFuAW4b58yVGxpVk0REM0XCsk4q8QVQVNQamXAWrfw5dxyE9O/ZBSqKJRT+jPmYEXTChiEfWH2Rn03EmluYM7c3p2dB93ClQpRkoMkxDSbCKrbWv9T9hjLnGWvuIyzGJDNuKLQ2cN76QnAx/vEOBY/VQvTDeUYw2sXrQ0wj0/1c4N3KuEZj4lvM7BmrAWnsncKcxRmUjE8iESKn2XU1tg0uwAKZeCS//GHaugOnXxjA6SVCx6GfUx4ygxRN612EdGnqClZYN4R7o6XJKtosMw1CmCN4VmTcMgDHmJuCr7ockMjz7DrezreE4l05NgGl5oSC0H3LWYImbiq21e/q/gFn9vh6ux4BFAJF+br21thV4EphvTN9jzEXA8mh+ARlZ4yKl2odU6KJ2sVOcRtUEU1Us+hn1MSOopjBAVX5gePthpec6x+5Bbu8gMoChJFjvBu4xxkwzxnwc+Efg8tiEJTJ0K7Y0AsR//yuAtmbAQnYCxDK6RP2gxxhzMXAzUGGM+aoxJgD8NzDGGPNV4HPARwGstftxKn/dYYz5PvAzLT5PLmU5GQT8XnY1DeHDktcHk5fBticg1BO74CRRRdXPqI+JP2MMiycUsWrXIUKDXX/Zq3dacFer+4FJyhj0FEFr7S5jzHuBPwH7gMuttdrqWhLG01saGV+SxdjIlKC4Ol7vHHPK4xvH6PNu4I/GmPfjVOr6IEN80GOtfRZ4doBL/3Sa++8D7htinJIgPB7jVBIcyggWONUEN/wO9r0EY5fEJjhJVFH1M+pjEsMFE4v5w2v72VzXyoyqvMG/Ma03wdIIlgzfWROs3kWd/U4VAl7gZWMMUSwqF3FNW1cPL+08xIcWj4l3KI7jzmiapgi6Sw96ZDjGlWSx8cDRob1p4lLwpjnVBJVgpRT1M6PDoglFgLMf1pASrN4RLE0RlCgMZgTr6phHIRKlF3Y00x0KJ8b6K3AKXIASLJfoQY9EY0JxFstfr6OrJ0S6zzu4N6XnwLiLYetjsOxbqiaWAtTPjC5luRlMKMli5c5D3HLRhMG/sXcNlkawJApnTbCstXuMMYEzPb0523WRWFuxuZGcDB8LxhbEOxRH3wiW1mC5RA96ZNjGlWQRtk4hnCFVFJt6JTz6WWjcDGXTYxegJAr1M6PM4gnFPLBmP8FQGL93kGUHeqcIdmsvLBm+wRa5+OxZrn862kBEhisctqzY2sjFk0sG34HG2vEGpwqZLz3ekYwKkcpdjW+t7NW/qldkIbnIKcYXOx+YdjYNcR3W5Mh+r1sfczkiSUTqZ0afxROKaO8OsX5fy+Df1FfkQgmWDN9gP41+zBiz4nQvYH4sgxQ5k40Hj9J0rIul0xJotOh4vQpcuE8PemRYegvfDLnQRW4FVM131mFJqlA/M4qcP74IY5z9sAZNRS7EBYOtInjJWa7HbHqgMSYNp6RpGzAdOGSt/XdjjAe4FTgOjAHutta+FKs4JHE9vbkRj4GLJydSgtWo6YHu+5gx5u/OcL1pxCKRpJIX8FOcncbuoY5ggVNNcMU3oLXOSbhktFM/M4oUZKUxvSKXlTub+czSSYN7U3pkGrGKXEgUBpVgRbmBZ7S+CDxrrX0OwBjTu8j0BiDXWvslY0wh8JIxZpq1NhSvQCU+VmxpZF5tAYVZafEO5YRj9VBzXryjGG3i9qBHkt/44mx2NQ/jA9PUq50Ea+vjsPCj7gcmiUb9zCizeEIR96zcQ2cwRIZ/EEVuPF7wZ2qKoEQlQRasnNH7gHHGmH8xxnwDiJRn4ypgFYC19jDQCZwTnxAlXhpaO3n9wFEuTaTpgdZqBCsGTrcuot+rMd4xSuIa1l5YACVToHC8k2DJqKd+ZvRZPKGY7lCY1/YcGfyb0rKVYElUEiLBMsY8aYxZN8DrWmAsYK21/4Wzcd/vI28rBfr/198aOTdQ+7cYY1bH8FeQOHlmi/Nv3dJEKc8OTqfc06ES7SIJZHxJFs3HuznaERzaG41xpgnufk4fuESS0MJxhfg8hhd3NA/+TenZmiIoURl0gmWM+asxZnYsgrDWLrPWzhng9WecxOnlyK0vABcaY7xAI9C/3m5u5NxA7d9prV0Qi9glvp7e0khVfoDJZdnxDuWEY3XOUUUuXGeMeZcx2pBIhm7ccAtdAEy9CkLdsOOvLkcliUj9zOiSne5jdk3+0AtdqMiFRGEoI1j/BtxhjPmFMWYkV/o+DYyPfD0G2BlZZ/UYsAggsgYrA9g0gnFJnHUGQ7ywvZml00pJqH8LD651jqXaNycG7gPujzxkAcAY8/dxjEeSxPgSJ8Ha1TSMD00150FmkaoJpg71M6PM4glFbNjfQmvnIEew03M1giVRGXSCZa1dY629FHgUeMIY8/UR2g/iC8C7jDFfBv4d+EDk/O+BY8aYrwO3AR9UgYvU8tKuQ3QEQ1w6NcHWOu1dBel5UDot3pGMRltwpgo/YIzxR86pbLKcVW1hFh4zzBEsjxcmXwHbn4TQEKcYSjJSPzPKLJpQRNjCy7sOD+4N6dnQ1RrboGRUG2yZdgAiQ+ZbgR8D3wQ+boz5srX23lgEB2CtPQB8bIDzYZwKg5Ki/vJGAwG/l/PHF8U7lJPtfQlqznU+lInbrLX2J8aYduDPxpjrgQQavpRElebzUFOYya7hJFgAk5fBul/DgTVQqwqho5z6mVFm/pgCcjN8LN9Yx2XTB7E+WlMEJUpDWYP1AnAAuAOoAj4MvA041xhzZyyCEzmd7p4wj73udJSDKrs6UtoPQ9MWqD0/3pGMVkcArLW/Au7GmSqcGdeIJGmML85i13D2wgIYc4Fz3LvSvYAkUamfGWXSfV6umFHOU5sa6AwOYrKTilxIlIayBusfgCpr7WXW2q9Zax+11u6w1n4auDBG8YkM6G9bG2lpD/LOuVXxDuVk+15xjrWL4hvHKGWtXdrv6z8CPwASbAhTEtW44mzebG4jHLZDf3NWMRRPhj2r3A9MEor6mdHpmtmVHO/q4W9bB7FXdHqORrAkKkNZg7XRWnu6f5WucikekUF5aO0BirPTuHBScbxDOdneVeDxQ9W8eEeSEiIPehLsPwJJVONLsugIhqhv7RxeA7WLnCnAYS33TSXqZ0aHReOLKMpK45ENB89+c1qOs91KqCf2gcmo5Mo+WNbaXW60IzIYR9uDPL25kWtmV+LzJsRWbifsfQkq54B/JOq/iMhQjI+mVDs40wS7jkLjGy5GJSIjwef1cOXMCp7e3EBb11kSp/TI1i/d2vtOhifBPp2KnN3jG+voDoUTb3pgsBMOrtH6K5EENa63VPuwE6zI1F9NExRJStfMrqQzGOavmxvOfGNaJMHSNEEZJiVYknQeWnOACSVZzKzKi3coJ6tb52xGqvVXIgmpPDeDgN87vL2wAPJrIbca9rzobmAiMiIWjCmgPDeDR9bXnfnG9BznqEIXMkxKsCSp7DvczitvHuadc6sSa3NhcNZfgbMpqYgkHGMM44qzhj9FEJxRrL2r4LRLkkUkUXk8hqtnVfDstkaOtp9hT7tAgXNsax6ZwGTUUYIlSeXhdQcAeMecBJseCM76q+LJTrUxEUlI40uiKNUOMGYxHG+Aw1p6LJKMrpldSTBkefKN+tPfVDDWOR55cyRCklFICZYkDWstD649wLnjCqkpTLAtScLhyAbDGr0SSWTji7PYf6Sdrp5hVgKsXewc92g/LJFkNKs6j9rCTB5Zf4ZqgnnVYLxKsGTYlGBJ0nj9wFF2NbUlXnELgOat0Nmi9VciCW58STZhC3sPtQ+vgZIpECg8MSVYRJKKMYZrZlewcuchmo93DXyT1+8kWUqwZJiUYEnSeHDNAdIiZVYTzq6/OUdVEBRJaOOKo6wkaIwzTVAjWCJJ65rZlYTCluUbzzBNsHCcEiwZNiVYkhSCoTCPrD/I0mml5AX88Q7nZOEwvHo3VM2HognxjkZEzqC3VHtUhS5qF8GR3dB6lkpkIpKQppTlMKk0+8zTBAvGOn/nIsOgBEuSwgvbmznU1p2Y0wN3rYBD2+G8f4h3JCJyFrkZfoqz04dfqh1O7Ie1V6NYIsnImSZYyatvHqbuaMfANxWMhfZD0Nk6orHJ6KAES5LCg2sPkJ/p521TSuMdyqle/ilkl8H06+IdiYgMwvhoS7WXzwZ/ljYcFkliV8+qwFp4bMNpRqILxjnHlj0jF5SMGkqwJOEd6wzy1KZ6rp5VQZovwf6TPbQTtj8FCz4CvrR4RyMigxB1qXavD2rOVaELkSQ2viSbGVW5PHLaBGusczysaYIydAn2aVXkVE9srKerJ8w751bHO5RTvXInePww/+/jHYmIDNLE0mwOtXWfvoLYYIxZDA2boOOIe4GJyIi6ZlYl6/e1DFxVVHthSRSUYEnCe2jtAcYUZTKvNj/eoZyssxXW/hpmXA85ZfGORkQGaXpFLgCb66JYW1G7CLCw92V3ghKREXfVLKcq8SMbBih2EciHQIESLBkWJViS0OqOdrBq1yGum1OFMSbe4Zxs/W+g+xic94l4RyIiQzAtkmC9cTCKBKt6gTN6rUIXIkmruiCT+WMKTl9NUJUEZZiUYElCe3jdQawl8aoHhsNOcYvqhU55dhFJGgVZaVTmZfBGNCNY/gBUzdN+WCJJ7ppZFWypP8b2hmOnXiwYqxEsGRYlWJLQ/rT2AHNr8xkb2Rw0Yex8Gg7vVGn2UcYY85Ix5m+R19ORc4XGmDuNMV8yxtxtjNF80FFgemVudCNY4EwTPLgWugdYvyEyAPUxiefKWRV4DAMXuygYBy17IRwa+cAkqSnBkoT1xsFWttQf4/pEG70K9cCz34Pscph2bbyjEXc9Ya19W+S1NHLuVuCv1trvAH8Cbo9feOKW6RW57Gw6Tmcwig9OYy6AcA8cWO1eYDLaqY9JMKU5GZw/vohH1x/EWnvyxYKxzt9464G4xCbJSwmWJKyH1u7H5zFcNasy3qGc7PnbYf8rcNl/qjT76DPTGPNFY8z/Z4y5KnLuKqC3HveLke8lyU2vzCVsYUv9ANOCBqvmXMBomqAMhfqYBHTt7Ep2Nbfx2p63VAVVqXYZJl+8AxAZSChseXjdQd42pZTCrARKYvashGe/C7PeC7NvjHc04r7vWmtfMcZ4geeMMceAUqD3U3grUGCM8Vlre/q/0RhzC3DLyIYrw3VOZR7gjJTPqRlmhdJAPpTNUIIlQ6E+JgFdM7uSWx/fzM9f3M2CsYUnLhRGNhs+8iZwcTxCkySlBEsS0sqdzTQe6+L6eQk0PbD9MDzwceeJ1lWawTEaWWtfiRxDxpjngUuARiAHaAFygSNv/eATec+dwJ3GGPvWa5J4qgsC5KT7eKPuaHQNjVkEa++DUBC8/tPedrz7OK/Uv0J7TzvBUJDuUDfd4W7y0vO4bMxlBHyB6OKQpKA+JjFlpfu46bxa7npuF/sOt1NTmOlcyK0Cjy+lCl089eZTWCzLxi6LdyhJTQmWJKSH1hwgJ8PHpVNL4x2Kw1p45DNwvB4++hdIz4l3ROIyY8xU4AJr7d2RU5OAB4HHgEXAPuCCyPeS5IwxTHOj0MWYxc6G43XrndLt/Vhr2di8kT9u/yPLdy+no6djwCa+9+r3uGHyDdw09SZKMkuii0cSlvqYxPbhxWO5+/nd/HLlm3zt6unOSY8X8mtTplR7MBzkc89+DoAlVUvI8idYgbEkogRLEk57dw9PbKrn2tmVZPi98Q7H8dovYPMjcNk3nNLMMhq1AlcbYypxniLvA34DLAe+a4yZDEwAPh+/EMVN0yty+f3qfYTCFq9nmPvs1S52jntW9iVYx7qP8eiuR3lg2wNsPbKVgC/AFWOv4JoJ11ASKCHNm0aaNw2/x8/2I9u59417+dnrP+MXm37BzdNu5rPzP5t4+/6JG9THJLCKvABXzqzgd6/u41/+bhI5GZER6RQq1b6rZVff14/ufJQbp2opxHAlfIJljJkPfAlYDZwH3GatXRW59gWcTqoAeMpa++e4BSqueWpTA+3dIa5LlOqBjZvhiS/DhKWw6FPxjkZixFp7EHjnAJcOAx8f4XBkBEyvzKW9O8SeQ22ML8keXiM5ZVA4Hvauggs+w4sHXuTLz3+ZI11HmFY4ja+d/zWuHHcl2WkDt7+gfAELyhewt3UvP1n/E36x6ReUZ5Xzvmnvi+I3k0SkPibxfXTJOP68/iC/X72fjy6JrL8qGAf7X3NmsozyBx+bD28GIOAL8Lttv+OGKTfoYc8wJUMVwW8C91trvwvcC/wngDHmPOASa+3XgM8C3zfGDHOlsiSSh9YeoCo/wLn9F5rGy6Gd8Nv3O1MC3/kT8CTDn4yIDMb0ilyA6DYcBhizmNCelfxozQ/55F8/SVGgiPuvvJ/fX/N7bphyw2mTq/5qc2v55pJvcnH1xdz26m2saVgTXUwiMmSza/JZMKaAX67cTSgcWepWORe6jkLztvgGNwKOdDpVFD8151NsP7KddU3r4hxR8kqGT4sNQO+k9BLgtcjXVxMpa2qtDQKbgYtGPDpxVeOxTp7f3sR1cyvxDHfKjlt2PgN3XQodh+HG+yA7QdaDiYgrJpVl4/MYNkW5Dqu5YjafyE/jztfv4toJ13L/Vfczs2TmkNvxGA+3XngrVTlVfO7Zz9HY3hhVXCIydB9dMo59hzv4yxv1zonaRc4xBaqFeo2zLOOKcVeQ5kljxd4VcY4oeSVEgmWMedIYs26A17XAV4EPGmNuBz4E/CHytv5lTcGZ2zzgJ2BjzC3GGO0EmQT+vO4gYQvvjOf0QGvhpZ/Afe+C3Er4+DNQe3784hGRmEj3eZlUlhNVoYvV9au5Ydd9rEtP4z9rruabS74ZVUXA3LRc/utt/0VbsI07Xrtj2O2IyPBcfk451QUB7n4hUtiiaAJklcDel+Ib2AjwepwEK82TRm1uLXtb98Y5ouSVEGuwrLWnrQVpjFkD/JO1dpUxZibwV2NMOSfKmvbKjZwbqH2VNk0C1loeWnuAmVV5TCyNU5W+ni547HOw9l6YciVcf6cqBoqMYtMrcnlue9Ow3nvPpnv4wWs/oDa7hh/v3saUanf27JtYMJGltUtZdXAV1lqtgRAZQV6P4cOLx/LNxzazYX8Ls6rznVGsvakzghWyIWpyath7TAnWcCXECNZZ1AB1ka/rgPTI14/ilDXFGOMDpgPPjXh04po1e4+w6WAr71lQHZ8AjjfBPdc6ydWFn4cbf63kSmSUm16ZS9OxLhqPdQ7pfQ9uf5DbV9/O0tql/Obq3zIlb5xTEMclC8sXcqjzELtbU6M8tEgiuXFhDdnpvhOjWLWLoGUvHD0Q38BirHcEK2RD1ObUsu/YPsI2HOeoklMyJFi3AN82xnwZuAP4e+t4GXjGGHMr8CPgX621LfEMVKJz9wu7yc3w8a55I5xgtR+GZ2+D/zvP2cvm3T+HpV9TQQuRFNBb6GJz3bGz3HnC6vrVfOOlb7C4cjHfu+h7ThGL0mmuJlgLyhb0/SwRGVk5GX5uXFjDYxvqqDva4WwoDk610FHMZ5yJbaFwiNrcWrpCXVoLOkwJ/wnSWvuQtfYma+23rbU3W2sf6nftNmvtV6y1n1SJ9uS273A7T2ys56bzaslKH6GZq0f2wPIvwh3nwDPfhKr58NGnYMa7Rubni0jc9VUSHOQ6rH3H9vHZv32W6uxqbrv4NnyeSH9VOg2O7oWuwSdqZ1KTU0NpZimv1r/qSnsiMjQfXjyWsLXcs3IPlM2EtOxRn2B5jJMW9NgeanNrAafPk6FL+ARLUsMvV76JxzjznmOubgM88DH44Vx49Wcw/R3wyZXw/j9AxazY/3wRSRh5mX6q8gODKtV+vPs4n1nxGcI2zP8s/R9y03JPXCyd7hybtroSlzGGheULebX+VazV8mGRkVZTmMmyc8r5zSt7aQ8BNefCntGdYPVOEQzbMLU5ToK1p3VPPENKWkqwJO6OdQb53av7uHJmBRV5w6++dVrdbfDmC/DCHXDPNfDTC2Hrcjj/k/DP6539rcrOcf/nikhSmF6ZyxsHj57xnlA4xBef/yK7j+7m9otvZ0zumJNvKJ3mHBvfcC2uqQVTOdR5iNbuKPfpEpFh+eiScRztCPLAa/uddViNb0DHkXiHFTP9pwiWZZbh9/hV6GKYEqKKoKS236/ez/GunhO7pkcjHIZD22H/q7B/tfNq3AS9izQLJ8DSr8OCj0BA+1KLiDNN8K+bG2jv7iEzbeB/Fv9rzX/x3P7n+Pfz/p1FlYtOvSF/LPgCrq7DOhY8hsd4yElTsR2ReJg/poDZ1Xn8/MU3ef/15+PBwt6XYcoV8Q4tJvpPEfR6vNTk1LCvVVMEh0MJlsRVKGz5xYu7WTCmgNk1p0l4rHVGoTpboKOl3/Hoyeeat8OBNc6O6wDpeVA9H6Z8HqoXOmussopG7pcTkaRwTmUu1sKW+mPMqy045fojOx/hl5t+yY1TbuS9U987cCMeD5RMcXUEq6Wzhfz0/L4PPSIysowxfGTJOP75t+t4tm0Gl3j8zjqsUZpg9VURDIcAqM2p1QjWMCnBktgLh6Gr1Xl1nnzcsmsf17Zu5d21ufDoHwZOnDqPQrjnDD/AQEYu5NXCjOudZKp6ARRNUiVAETmr6ZUnCl28NcFqD7Zz++rbmVs6ly+e+8UzN1Q6HXaucC2uI11HyE/XSLtIPF05s4LvLN/CXS/VcUnl3FFd6CLd6+yE1Blytq2oya3h5fqXtR/fMCjBkjMLhwZMjE4cj57leit0n76q1jnAOX6w2/1OkpSRBxn5zvS9/DHOsf+5gY7puUqkRGTYqvID5Gb4Bix0cd/m+zjceZgfXfoj/B7/mRsqnQbr73e2fsgsjDquI51HKMg4dURNREaO3+vhQ4vH8p3lW2g+dx7FG++GYAf4Y7BmPM5KM0sBaGhvAJwRrI6eDpo6mvquyeAowUpl7Yehbh0cXOesG+g4ciIp6k2cuo+fvR1vmpPkZOSeOBZNcBKjt57vO+ax5Qjc/Ost/NPb5/Hhi6aCno6ISBwYYyKFLk5OsI52HeWXG3/J22rexqySQVQY7a0k2LgZxl4QdVxHOo8wLs+FtakiEpWbFtby33/dzsNHxvDRcBAOvAZjl8Q7LNeVZZYB0NAWSbAimscF8QAAIABJREFUpdr3tu5VgjVESrBSxfFGZxPdg+ucpKpuPRztt3AxrwYyiwaRHOX1JUh95/wZwwrp/55fS0d6Me86b6KSKxGJq+kVedz/yh5CYYvX4/RHv9j4C44Hj/OpOZ8aXCP9Kwm6kWB1HWFexryo2xGR6ORl+nnvuTX876pWPpqGM01wFCZYuWm5BHyBk0awwNkLa0H5gniGlnSUYI021sKxukgitT7yWuec61U4wdnP4dyPQ8VsKJ/lynSWoTjY0sFjr9fx94vHkpNxlmk3IiIxNr0yl85gmN3NbUwszaa5o5n7t9zP28e9nSmFUwbXSG6l8/DJhUqCoXCIlq4WrcESSRCfumQif3xtP/v9Y6kepfthGWMoyyzrG8EqzyrH5/FpL6xhUIKV7Kx1Eqgtj8PBtc7XbU2RiwaKJ8O4i5xEqmIOlM90Rp7i7J5Vb2Kt5UMjsbGwiMhZTK9w+sVNB48ysTSbuzbcRXeom3+a80+Db8QYKJ0KTVuijmdN4xrCNszkwslRtyUi0SvKTufTl07kb09N4L17XsYXDkGk6t5oUpZVRn17PQA+j4/q7GpVEhwGJVjJqmkbbPwjbHwADu0A43Wmp0y6vF8yNQPSsuId6Snaunr4zct7uWJGOTWFmfEOR0SEiaXZ+L2GN+paWTjR8Pttv+e6idf1rUEYtNJp8MbDzsOvKKY+P777cQK+ABdXXzzsNkTEXR9aPJZbX5iDr/tpQntW4R03+qYJlmWW8XLdy33f1+TUsO+Y9sIaKiVYyaRln5NQbfwj1L8OGGcO8OJPw7RrR3ya33A9sGY/rZ0ubSwsIuKCNJ+HyWU5vHGwlZ+s/w0ePPzD7H8YekOl0+G1X8LxBsgpH1YswXCQv+z5C5fUXELAN/oqlYkkq3Sfl0VXvJ+2h/+H+md+wf/f3p3HR1Vefxz/nOxkhRAIi+zKEgwICgqoxRURrHWt2qq1itBFoWqtVWut2p9YtdbWWm21rVtrq627CNYNQTZRFkEUhCB7WJOQhWzP7487QAIJJJOZuZPk+3698krm3rn3nkwmZ+bMc+95+rTAAqtTSie2lW6jsrqSuJg4eqT3YOGWhWrV3kgqsKLd7q2w/GVY+iKsm+st63ocnDUVcr4F6Z39ja+Rqqsdf521hmO6ta1zQk8REb/kdE7nnS/WsjT+Vb7d79t0SgmiQKrZ6CLIAmvuxrkU7ClgbK+xQW0vIuEzZkhvZs4YxZCvp1FcXExKSvSdKdQU2cnZVLkqtpduJzslm25p3SipLGF72Xay2mT5HV6zocmDolFZAXz6HDxzHjzYD968yWuZfuov4PpFMOEdOOEHza64AnhnRT5520u4+sRe+iRERKJKTpd0CllBlavijB5nBLeTmq3ag/RW3lukJaQxssvIoPchIuFhZnQ5+UrSKeadV5/xO5yQ2/vB0t7rsGq2apeG0whWNCnaDO9PhUX/gKo93kS7J06Boy+E7By/owuJJ2etpktGEmOPDu6TXRGRcMnpnE5syioSYpIY3GFwcDtJyYLkLG8EKwhllWW88/U7jOk5hoTYhOBiEJGwOur48RS+046kFS+yqeBKOme0nFN5a82F1cG7Bgtg/e71DM3WtBENpQIrGpQVwOzfw9xHoaochlwOQ74LXY9tUfNDLdtYwNzVO/j52P7ExWrwVESiy4AuXoGVnTCA+NgmTB/RcQDkB9dJcNaGWRRXFHNWz7OCP76IhFdsHJZ7EaM//St3vbmAey492e+IQmbvCNbeubAyEjIAKCov8i2m5kjvcv1UuQfm/BEePgY+fAD6jYUfL4BzfgdHHNeiiiuAJ2etITkhlkuGN7Irl4hIBJRW7SA2cSvx5Q2c96o+HXO8Vu3V1Y3edNqaaWQmZTKs07CmxSAiYZU2/DskWCVVn73M0vUFfocTMukJ6STFJrG52DtFMCXeu8Zsd/luP8NqdlRg+aG6ChY/D384Dqbf6rVVv/Z9uPCvkNnb7+jCIr+wjNcWb+Ti47qR0UYTC4tI9Jm32WtNvGNbj6btqOMAKN8NBY1rbbxp9yY+WP8BY3qOIS5GJ5iIRLXOg6lq35eL4j/injeW45zzO6KQMDOyU7L3jWDFx8aTEJNAcWWxz5E1LyqwIsk5WPk2PH4yvDQRktvB5S/BFS9DlyF+RxdWT89ZS2W146pRPf0ORUSkTnM3ziUpJp31+Rns3lMZ/I6CbHQxdf5UDON7A78X/LFFJDLMiB38bYbyORvyvmDG8i1+RxQynZI7eddgBaQmpFJcrgKrMVRgRcr6hfDUOfDchd4nmxc8CRPehz6n+h1Z2JVVVPHcvLWcPiCbHu1bVjtTEWkZnHPM2zSP/hlDcC6GLzYXBr+zjv29741odPHBug94d927TBw8kS6pXYI/tohETu5FAFyVvoCp01ZQXtn404KjUc0RLIDkuGSNYDWSCqxwqyyHabfAE6d6n2ae/QD8aAHkXggxrePh/+8nG9hZUqGJhUUkaq0pXEN+aT7f6D4KgOUbm1BgJWVAelfvOqwGKK0s5d7599I7ozdX5lwZ/HFFJLLa9YDuI7kk8SPWbNvNs3PX+h1RSGQnZ5Nfkk9VdRWgEaxgtI53+H7ZuRb+dhbM+xMMnwiTF8HwCRDXelrvVlc7npy1mqO7pnN8r0y/wxERqdP20u0A5Gb3pm1yPMs3NaHAgkAnwYaNYP1lyV/YsHsDt59we9O6F4pI5A26mJTC1Xy3xy4efmclu0rK/Y6oyTqldPImGy7z8qJGsBpPBVa4rHgTHj8Jtq2Ci5+Bs38DiWl+RxVx05dt5qutxZpYWESi2t4L1GMshpzO6Szd0MSuYB0HwNYvvaZGh7CmYA1/W/Y3zul9jjoHijRHA78FsQn8pOMnFJZV8Id3V/kdUZPVmgsLbwRLXQQbRwVWqFVVwPTb4PlLoV1PmPgB5HzT76h8UV5ZzX1vraBvdirnDNI1BSISvRz7O4Ad26Mdn28qalqji7Y9vAnji7fVf0zn+PXcX9Mmrg03HHdD8McSEf+0aQd9x9B+9Wtcemxnnp6Tx5dbmvecUdkpgQIrcB1WSlwKJZUlfobU7KjACqVd6+BvY2HOIzBsAlz9NmS23uuOnpu3lrztJfz87AGaWFiaNTM73cweNbM7zeyXfscjobe3wDKM4b0yqap2fLJ2Z/A7TPXeoLB7c713mbZmGvM2z2PykMlktckK/ljSIijPNGODvg3F+dzcbwvpSfFMfn4ReyoPPXodzTole5MN75sLKyFFI1iNpHe9oTTrt5C/Ai78G4x7AOIS/Y7INwWlFTz8zkpOPDKL0X07+B2OSNDMLBl4DPiJc+5OYJCZneZvVBIuZsbQ7u2IjTHmr9kR/I7SvDcoFNXdunnVzlXcO/9eBrYfyIV9Lwz+ONIiKM80c0edCUkZtF3xb35z4SA+31TI/W994XdUQctIzCAtPo3VBasBjWAFQwVWKJ1xt3dK4NHn+x2J7x59bxUFpRX8/Oz+uvZKmrsRwFrn3J7A7dnAOB/jkTCoOUloSmIcR3dJZ35eEwqsQ4xgrS1cy4S3JxAXE8dvTv4NsTGxwR9HWgrlmeYsLhGGXgHLX+a0DoVcfkIPnpi1hg9XbvU7sqCYGUdnHc3SbUsBSIlPobSylMrqJpw23cpERYFlZjFmNtHM8s3s6APWfdfMHjSz35jZxBrLe5rZk2b2czN73MxSIx/5ARJToX0fv6Pw3bodJfxtdh7nDzmCgV0y/A5HpKk6AjVPqC8MLKvFzK41s48jFpWEVM1TBAGG98pk0bpdlFUEeZrP3gLrgBGsjbs3cs2Ma6iqruKJM5+ge3r3oGOWFuWweUY5JsqNnAxxSfDBfdw2bgBHdkzlxn8vZkdx8+wqmNshl5U7V1JaWUpKvDeHqUaxGi4qCixgMDAPqPWXM7MjgJuAm5xzNwPXmNlRgdWPAY875+4FPgN+FsF45RDun/4FZnDTmL5+hyISCvlAzRag6YFltTjn/uycOy5iUUlIxZo3irSnyhtAGNYzk/LKapasD7KbYHwSJLWtNYKVX5LP1dOvpriimMfPeJw+bfWBnOxz2DyjHBPlUjvA8Gth6Ysk7VrFw5ccw66SCn72nyW1Rsibi0FZg6hyVSzfvnxfgaW5sBouKgos59ynzrlFdawaAyx0+5+Zc4CxZhYPnAIsCCzXUHqUWLxuF68u3siEk3rTOaON3+GIhMIcoIeZ7b2ochTwho/xSBj0z+xPjMWwcMtCwCuwABY05TTBtE5Q5BVY20u3c82Ma9hRtoPHTn+MAe0HHHZz5xyzN8xulm/OpNGUZ1qCkddDQgq8P5WBXTK4+ax+vL18C/+cv87vyBott0MuAEu3LiUlIVBgVRRTVV3Fsm3L2FZaf4dUiWCBZWbTzWxRHV+H6mFe35B5FlBao/Cq85SdGsfWsHoEOOf49Zufk5WawKTR+mRWWgbnXAnwA+D3ZnYPsMQ5947PYUmIZSRmMChrELM3zAagXUoC/bLTmNeURhep2bB7CwV7Cpj49kQ27d7EI6c9wqAOgxq0+f++/h+T/jeJaWumBR+DNAvKMy1ESns4fiIsewm2LOf7o3px0lFZ3PX6MlblN68ufJlJmXRN7cqSbUtIifMKrN0Vu9lUvIlL3riE6XnTfY4wukWswHLOjXHOHVPH16uH2Ky+IfNtQBvb3z2hzlN2ahxbw+oR8PbyLcxfs4Mpp/clNTHO73BEQsY597ZzbqJz7nbn3K/8jkfCY2TXkSzbvoydZV579mG92rEwbweVVdXB7TCtE65oC9e9ex2rC1bz8CkPN2oy4VO7nUpuVi73LbiPgj1NnPhYop7yTAsx4seQkAofTCUmxnjgosG0iY9lyr8+pbwyyFzik0FZg1i6bSmpCV6bg5KKEo5IO4Juad2Ys3GOz9FFt6g4RfAQpgPH1iikRgDTnHMVwHvA3lcqDaX7rKKqmqnTVtCnQwqXDOvmdzgiIo12YpcTcbh9bxyG92pPcXkVn28KctLQ1Gxs92a+P/AqHvzGg4zsOrJRm8fGxPLLEb+kYE8BDy18KLgYRCSykjPhhB/A8ldg81Ky05OYesEgPttQyINvN6/W7bkdctlcvJmk2CQmD51MtzTv/d2IziNYsHkBFdUVPkcYvaKiwDKzdmZ2O5ABXGtmJwA459YDDwAPmdmDwBPOuZWBzSYBkwLb5QL3+RC6BPxz/tes3lbMrZpUWESaqZz2ObRNbMvsjd5pgsMD12HNW7M9uB2mdYKqckZnDeaU7qcEtYt+mf24IucK/rPyP/uuDxORKDfih5CYAe9PBWDMwE5cOrw7f565mo9WNZ9rl3KzvOuwNhZv5Jrca+iWHiiwuoygpLKEz7Z95md4US0q3gk753Y65+5xzrVzzl3vnJtbY92zzrkpzrkbnXOP11ie55z7fmC7a51zzevk1haksKyC3/1vJSf0zuTU/vVeCiciEtViY2IZ0WUEszfMptpV0ykjie6ZycFPOLxvLqy6JxtuqEmDJ9ElpQt3zbmLiip9YiwS9dq0gxE/ghWvw0avh9svxg+gV1YKN/x7MbtKmkfr9gHtBxAXE8eSrUtqLT+m4zGA1wBD6hYVBZY0b396/yt2FJdz29k5mlRYRJq1E7ueyPay7Szeuhjw5sNakLcjuE5+aZ2870UHTzbcGMnxydx+wu2sLljNU8ufatK+RCRCTpgESftHsZIT4vj9JUPYXryHn/93abPoDpoYm0i/dv32TTi8V1abLDomd2T5juU+RRb9VGBJk2zYVcpfZ63hvCFdyT1CkwqLSPN2ardTyUzK5Lcf/xbnHMN7ZbKzpCK4DmBpnb3vTRzBAjjpiJMY2WUkL3zxAtWueV0oL9IqJWXAyOvgy2mw4RMAju6awY1n9mPaZ5t54eP1PgfYMLlZuSzbtoyq6tqTrue0z2H5dhVY9VGBJU3y4PQvcMBNY/r5HYqISJOlJqQyZegUFm1dxBtr3qhxHVYQpwnuPUWwiSNYe43vPZ6NxRv3ja6JSJQ7fpJ3uuD79+5bdO1JvRnZpz2/fHUZn36908fgGmZQh0GUVJbwVcFXtZbntM8hryCP4gpNPlwXFVgStM82FPDfTzdw9Ym96NpWkwqLSMtw7pHnMrD9QB76+CE6pEPHtMTgJhxOTPXaNYdgBAvg1O6nkhibyJur3wzJ/kQkzBLTvMmHV86A9d50rDExxsOXDKFjeiJX/X0Bq/KD7FIaIXsbXRx4vdXA9gNxOD7f/rkfYUU9FVgSFOcc97yxnMyUBH6gSYVFpAWJsRhuGX4L+aX5PPnZkwzvlcm81UFeh5WaHbIRrJT4FEZ3G82MtTOorK4MyT5FJMyGXwvJWTDtZqjy/m87pCXyzPePJz42hsufnM/GXaU+B1m/Huk9SE9IP+g6rJz2OQA6TbAeKrAkKNOXbWbu6h1MOf0o0pPi/Q5HRCSkjul4DON6j+OpZU/Rt2s5mwvLWL8ziDdBaZ1CNoIFMLbXWHaU7WDepnkh26eIhFFiKpx9P2xYCLP2z2fXvX0yT101nN1llVz+5Dx2FkdnZ0EzIzcrlyXbancSzGqTRcc2anRRHxVY0mgbd5Vyy3+XMrBLOpcO7+53OCIiYfGToT8hNiaWxSXPAATXrj2EI1gAJ3U9ibT4NN5co9MERZqNo8+Hoy+ED6bCpv3XUOZ0SeeJK49j3c5Srvr7AkrKo3NkOrdDLl/t+oqSipJay9Xoon4qsKRRKquqmfz8p1RUVvPIZUOJ16TCItJCZadkMyF3AvPzZ5Le/vPgCqwQj2AlxCZwSvdT+GD9ByHbp4hEwNn3e6cK/nciVJTtW3x87/Y8cukQlqzfxaRnP6G8Mvq6hOZm5VLtqg9qsKNGF/XTu2NplIffWcmCvJ38+rxcemWl+B2OiEhYXTHwCu8i747PMWvDnMbvIDUbynfDniDavNcjOzmbovKiZjGPjogEJGfCuX+ErZ/De/fUWnXmwE7ce34uM7/cyk9fXEx1dXT9bx+XfRxt4towPW96reU57XNwOFbsWOFTZNFLBZY02OxV23jkvVVcdOwRfGtIV7/DEREJu8TYRP50+p/IjO9CQfqfeX/tgsbtYO9kwyEcxUqMTaTaVavRhUhzc9TpcNz34aNHYO1HtVZ9e1h3bj6rH68s2shdry+Pqg9QkuOTOa37aczIm8Geqj37lqvRRf1UYEmDbC3aw5R/LaJPh1R+de5Av8MREYmYjMQM7hz+MK4yjZ9+eD1f7Pii4RundPC+784PWTxJcUkAlFWVHeaeIhJ1zrgb2vWAlybBntot2n/wjT5cfWIv/v5RHo++/1U9O/DH+N7jKaooYub6mfuWdUjuQIc2HVi2fZmPkUUnFVhyWNXVjhv+vYjC0goeuWwIyQlxfockIhJRo3r1xm26FqoTmPj2RNYWrm3YhrEJ3vcQjjYlxiYC1PokWUSaicRUOO9x2PU1TL+t1ioz47azB3DekK7cP/0L/jn/a5+CPNjxnY8nq00Wr331Wq3lA9sP1AhWHVRgyWE9PnM1H67cxh3n5NC/U7rf4YiIRFx8bAxDu/Qho+DHVLtqJsyYwObiBnQHNPO+u9BduL63wCqr1AiWSLPU/QQYNRk+eQq+nFFrVUyM8ZsLBzG6Xwdue2kpb30Wui6kTREXE8fZvc7mww0fsqts177lanRRNxVYckgL1+7kgRlfMC63M5epJbuItGLDe2Xy1cZkHjjpEYrKi5gwYwL5JYc59c/2vsyG7nqKNYVriLVY0hLSQrZPEYmwU26FjgPh1R9DSe0OpfGxMTz6naEM7taW65//lDlfbfcpyNrO6XMOldWVtZpd9G3XF4cjryDPv8CikAosqVdBSQXX//NTurRN4t4LcrG9n8SKiLRCJx6VxZicTnRucyR/PO2PbCnZwvmvns+0NdMOcUF6aEewql0109ZMY1TXUWQkZoRknyLig7hEOO8xr7h644aDVicnxPG37w1jeM9M2ibH+xDgwfq168eRbY/ktdX7TxPcm4cKywv9CisqqcCSOjnnuPk/i9lSWMYfLh1KelJ0/HOLiPhlaPd2PHb5sXTLTGZo9lCeH/883dO6c/PMm7nxgxvZUVbHPFl7R7BCVGAt3LKQzcWbGddrXEj2JyI+6jwITvk5LHsJlr540Oq2yQk8e83xDOgcHZdnmBnje49n8dbFrCtcB7BvJF2nCNamAkvq9PSctUxftoWfndWfY7q19TscEZGo0zujN0+PfZrJQyfz/rr3Oe+V8/jf2v/VvtO+Ais0x3xj9Ru0iWvD6G6jQ7NDEfHXyMnQ7Xh45cfw9Ty/ozmscb3HYRivr34dgJR4b07UovKiQ23W6qjAkoP8++N13PX6ck7p14GrT+zldzgiIlErLiaOa3Kv4V/j/0V2cjY/ef8n3DzzZgr2FHh3CGGTizkb5/D66tc5o8cZJMcnN3l/IhIFYuPg289Bemf4x0WwJbo78nVK6cTwTsN5bfVrOOc0glUPFViyj3OOP763iptfXMLIPu35w2VDiYnRdVciIodzVLujeG7cc/zomB/xdt7bfOuVb/HaV69RVl0RuEfThrA+2vAR1717Hd3Tu3PjcTc2PWARiR6pHeDylyGuDTx7Puxs4DQQPhnXexzritaxZNuS/SNYFRrBqkkFlgDeXFe/em0590//gnOP6cKTVw4jNVHzXYmINFR8TDyTBk/in+P/Sfuk9tw661ZOmTmZO7IyWbBrJdVBjmLN3jCb6969jh7pPXjyzCfJTMoMceQi4rt2PeDyl6CiBJ45D3Zv9Tuiep3R4wwSYxN5ddWrxMXE0SauDbvLd/sdVlTRO2hhT2UVN/x7MW8s2cTVJ/bitrMHaORKRCRI/TP786/x/2LBlgW8tvQpplfM5KXPH6fT168wrtc4xvcez5HtjjzkPnaU7WBG3gymrZnGJ/mf0K9dP5448wnaJumaWJEWKzsHLnsBnj4XnrsArnwdkqKjwUVNqQmpjO01lhe+fIGBWQMBqHJVPkcVXaz+1rItj5k54BDtdFuforIKJj6zkI++2s6tZ/fn2pP7+B2StHB72/0751pkFa88I7VsWkzpn7/Be6fdxOtlG/lo40dUuSqObHsk2SnZJMcle1/x3vfEuEQW5y9m7qa5VLkq+mT04axeZ3Fp/0vVlr0RWnKeUY5pBb6cAf+8BHqMhO+8CPFJfkd0kNLKUq5/93rmbpoLwEOjH+L0Hqf7HFVkHSrPqMBqxfKLyvjeXxfw5ZYifnPhIM4feoTfIUkr0JLf+IDyjBxg81J47ES4+BnI+SbbS7fzVt5bzFw/k6LyIkoqSiipDHxVlFBRXUHX1K6M7TWWs3qeRd92fTUHYRBacp5RjmklFv8LXroWBpwDFz0FMbF+R3SQssoyprw3hc+2f8b0C6bvux6rtVCBFaCk5MkvLOPpOWt5dt5ayiurefQ7Qxndr6PfYUkr0ZLf+IDyjBxgyzL400i4+GnIOfewd6+oqiAuJk5FVRO15DyjHNOKzHkUpv8chl4J5zy8vytpFKl21ZRVlrXKzqaHyjO6BqsFKS2v4ostRQw+IqPOF+flGwt5ctYaXl28gcpqx5k52Uw+rS85XaLv/F4RkZahcW3a42M1qbuIBIz4IZRsgw8fhJQsOO0OvyM6SIzFtMri6nBUYLUgH3yZz6RnP6FLRhJ9O6URF2PEBr62FZUzP28HyQmxfOf4Hlw1qic92reuoVwRkYjbN9GwRhtEJAin/gKKA0VWcpZXdEnUi4oCy8xigAnA3cCpzrnPAsuHAVOAT4F+wHzn3F8C63oCvwBWAT2BG51zrbpH5IjeWdx/4SBmLN/ClsIyKqsc1c5RWe2IizFuGdufS4d1JyNZn5CKiERECCcaFpFWyAzGPwSlO2D272DIdyBJDW+iXVRcg2VmQ/BmYXwZGF+jwPomsNk5N9/M4oF84Cjn3DYzewu4I7DuOqCjc+4XhzmOzlsW8VlLvjYClGfkAFWVUFYAiakQl+h3NK1GS84zyjGtVEUZ7N7izZclUaHZNLkwszxqFFgHrIsHNgJHAiXAbiDJOefMbCjwhHNu6GH2r6Qk4rOW/MYHlGdEokFLzjPKMSLRISqaXJjZdCC7jlV3OOdebcAufgz8n3OuwMw6A6Vuf3YpBOptg2dm1wLXNjZmERERERGRxohYgeWcGxPstmZ2GZDinLsnsGgb0MbMLFBkpeOdPljfsf8M/Hnvpz5qfysi4aY8IyLhpBwjEr1i/A7gcMzsGrzrq+4xs1wz6+ucqwDeA4YF7jYKeMO3IEVERERERIiSa7DMrB3wI+BG4BngH865uWZ2LvA0XhdBgPbAdc659wNdBO8AVgPdgRuisYugmX3snDtOcewXLbEojoNFUywtQbQ/ntEcXzTHBoqvKaI5NgletP9dozm+aI4Noju+aI0tKtq0O+d2AvcEvmoufwWosxelcy4P+H7YgxMREREREWmgqD9FUEREREREpLlQgRV+f/Y7gIBoiQOiJxbFcbBoiqUliPbHM5rji+bYQPE1RTTHJsGL9r9rNMcXzbFBdMcXlbFFxTVYIiIiIiIiLYFGsEREREREREJEBZaIiIiIiEiIREUXwZbIzBLw2s4XAznAdufcbWYWA/wfsBvoATzpnJsbgXhuB6Y457JqLPsuMASoAr5yzj0exuM/BJTg/d6DA7FsDqz7Kd5k0e2AGc65V8MVR+B4pwPn401O7Zxzvwrn8Q44dh+8bpmfAEfgPS/uMrNMYCretANHAbc657ZEIJ42wDy8x/0mM0sCHgA2BOKY6pz7MtxxtASB/+0JwN3Aqc65z2qsywPyAjc3OOe+E1jeE/gFsAroCdwYjukmDhNbnXkgUrHVEeudwOgai37tnHs7sC6iuaKe+HzLH/Uxs7lAWeBmlXPuNL9ySiCeTnh5brBzblhgWb25JZKvRdJ00ZzrGhCf8l3j4lO+C5Zt2edbAAAIT0lEQVRzTl9h+ML7Rz25xu1Bge+XAI8Gfs4EvgRiwxzLaOBBYFuNZUcAi9h/Hd4C4KgwxnBPjZ9/Bvwh8PPxwJuBn+OBlUDbMMaRjJdAEwO3/wOcFsHnxTDg3Bq3lwPHAo8BFweWnQM8E6F4HgSeAh4I3L4FuDnwcy7wYaQem+b+hfeifQzem4ujD1h3Zz3bvAUMD/x8HXB3JGM7VB6IVGx1xFrfYxXRXFFPDL7mj8Y8Zn7llMDxLgwc8+May+rMLZF+LdJXSP6+UZvrDhWf8l2jY1O+a8KXThEMn8uAXmY2xczuBjYHlo8D5gA453bgVeEDwxWEmWXjFXV/OGDVGGChCzwbAzGNDVcczrnba9yMwRvJAhjP/sejAvgcODlccQAjgLXOuT2B27Px/iYR4Zxb4Lz53faKwRvl3Pe8iFRMZnZ54Fhraiyu+fxcCgw2s/Rwx9ISOOc+dc4tqmf1yWZ2s5ndbWYjAcwsHjgF70Uewvh3P0RsdeaBSMZWFzO7zcxuMrOfmVlyYHGkc0VdfM0fh5AbeKzuNLO98UQ8p+zlnHsRKDpgcX25JaKvRdJ00ZzrDhOf8l3jKN81gU4RbAIzmw5k17HqDrwhZuec+11giPXfeCNJHan9wlMYWBauOM4FbuLgCZsjGocLDG2bWVvgTOCCGnF8Hso4DiPkv3ewzOw8YLpzboWZ1YyrEGhnZnHOucowHTsHGOCcu9XMBtVYVd/jUxiOOJqbhjzH63GLc25+4MXzEzMbj1dYl9Z4sW/SczHI2Or7e2eFMrbGxAq8AOQ554rN7Id4Hw5dTeRzRV2iJn8c4L7A8ysWmGlmRdSONew5pQHqe+yi9TFt1aI51zUhPuW7xonW/83mkO9UYDWFc25MfevMrBDv2haAWcBJgSdDPpBW467pgWUhj8PMjgMqgIl45/C2MbNb8IZ584EjD4hjVTjiqBFPBvAo8P3A6B2E4fE4jEgfr05mdgreJ2ZTDohrVyCmnWFODOcBZYHnw4lAgplNIUoen2h1uOf4IbabH/heYmaLgFHAP/D+Jy3wwt6kxzrI2OrLA9tCGduBGhHru8BPa8Tq93MzGmI4SI3nV5WZfYiXWyKdUw6nvscu5K9F0nTRnOuaEJ/yXeNEQwwHaSb5TqcIhtE7QO/Azz3wLqasAt7AG3YlcFFeErAsHAE45z52zk1yzk0F/oT3Cc1U59xKYDpwrJlZ4O4jgGnhiAPAzLKAPwI/dc6tMbO9I1ivs//xiMNrCDIzXHHgDSH3MLPEwO1ReH+TiAkMaY8BJgOdzGwENZ4XkYjJOfdr59xdgefGLGC+c+531H5+5gKLnXMavWoCMzvNzM6qsehIvHxQAbyHd10e+PBcpJ484GdsZnZ/jZtHsf/NdqRzRV18zx8HMrP+ZnZ1jUV7H7OI5pQGqC+3RPS1SMInynMdKN81lvJdE2ii4TAxs67Ar4CvgAHAI4EhzRjgXryOet2Bv7gwdxE0syOBScAPAsd+KDAc/V3gOLxuOl+68HYR/ARvxHTvyFWRc+6cwLqf4o2wtcNLduHuIngG3kXYW4EKF9kugscCHwAfBxal4BWerwL3AWuBPninWUSii+AFwI+AhEAcL+N1+tqE9+L4f05dBBvEzNrhPZY3As8A/3DOzQ28mbwTWAh0weusdW9gm554p4msxssHN7jwdBGsM7bAujrzQKRiqyPWe/Eurs7Ha4Zwh9vfbS6iuaKe+HzLH/XE0wXvf/cTvE9u44EbgLb4kFMCMX0DuAI4C+/DvQcDq+rMLZF8LZKmi+Zcd6j4AuuU7xoXn/JdkFRgiYiIiIiIhIhOERQREREREQkRFVgiIiIiIiIhogJLREREREQkRFRgiYiIiIiIhIgKLBERERERkRBRgSUiIiIiIhIiKrBERERERERCRAWWRD0z62lmn/kdh4i0XMozIhJuyjOthwosiTqBBLTGzG43s5QQ7bNrYH87Q7E/EWnelGdEJNyUZ1ovFVgScWb2npmdEfj5HjP7fR13W+ucu8c5V3zAtr3N7FMzGxZIXCvM7CkzW2JmL5pZcuB+VwSWLTazZ5xzG5xz9wAF4f8NRcRvyjMiEk5mlmtms2vcHmpm79ZxV+WZVijO7wCkVfolcJeZdQSGAN9syEZm1g94HrjKObfIzHoC/YCrnXOzzeyvwA/NbBpwGzDKObfNzDLD8UuISFRTnhGRcFoG9DGzWOdcFfAgcGNDNlSeaflUYEnEOedmmpkBNwCjA4npcDoArwAXOOeW1Vi+zjm39xOkZ4HrgT3Ai865bYHj7Qhd9CLSHCjPiEg4OeeqzWwZMNDMjgK+ds590oBNlWdaAZ0iKBFnZrlAZ2CPc66ogZsVAOuAUQcsd3XctjqWi0grojwjIhEwFy9f3Anc2sBtlGdaARVYElFm1hl4DjgXKDazMQ3ctBz4FnCFmV1WY3l3MxsR+PlSYBbwDnCxmbUPHFND6iKtiPKMiETIXOAe4CXn3IYGbqM80wqowJKICVyw+V/gRufc58DdeJ/6NEjgAtHxwE/M7NzA4s+BK81sCZAJ/Ckw5P5r4AMzWwz8NnS/hYhEM+UZEYmgFXin8d3XmI2UZ1o+c04jjxJdAhd7/t05N7oB93vdOXd0I/ad55zrGXx0ItISKM+ISFOZ2SPAAufcU/Ws74nyTKukESyJRqXAVjO7JYTzRnQxs1uApaHYn4g0e8ozIhIUM+tjZiuANvUVVwHKM62URrBERERERERCRCNYIiIiIiIiIaICS0REREREJERUYImIiIiIiISICiwREREREZEQUYElIiIiIiISIiqwREREREREQkQFloiIiIiISIj8Py9ZNiwJBp0YAAAAAElFTkSuQmCC\n",
"text/plain": "<Figure size 864x288 with 3 Axes>"
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 864x288 with 3 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-11-08T13:07:35.775380Z",
"start_time": "2019-11-08T13:07:34.129369Z"
},
"trusted": true
},
"cell_type": "code",
"source": "RA = []\nDEC = []\nDIST= []\nPMRA = []\nPMDEC = []\nVLOS = []\nPOT = []\n\ncfg = safe_load(config)\nfor k,v in cfg['bodies'].items():\n RA.append(v['ra'])\n DEC.append(v['dec'])\n DIST.append(v['dist'])\n PMRA.append(v['pmra'])\n PMDEC.append(v['pmdec'])\n VLOS.append(v['Vr'])\n \n #change mass with time\n ft = np.arange(0, 1, 3000)[::-1]\n POT.append(gp.PlummerPotential(m=ft*float(v['pot']['m']), b=v['pot']['rs'], units=galactic))\n\n \ngp.PlummerPotential\n#MW Potential static, fixed\nmw = gp.BovyMWPotential2014()\n\n\nbodies = coord.SkyCoord(ra=RA*u.deg,\n dec=DEC*u.deg,\n distance=DIST*u.kpc,\n pm_ra_cosdec=PMRA*u.mas/u.yr,\n pm_dec=PMDEC*u.mas/u.yr,\n radial_velocity=VLOS*u.km/u.s)\n\ngalcen = bodies.transform_to(gc_frame)\nbodiesw0 = gd.PhaseSpacePosition(galcen.data)\n\nunn = DirectNBody(w0=bodiesw0, particle_potentials=POT, external_potential=mw)\nuorbs = unn.integrate_orbit(dt=0.5*u.Myr, n_steps=3000)\nua = uorbs.to_coord_frame(coord.ICRS)\nuorbs.plot()",
"execution_count": 7,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 864x288 with 3 Axes>"
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 864x288 with 3 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-18T13:45:29.487417Z",
"start_time": "2019-06-18T13:45:29.480032Z"
},
"trusted": true
},
"cell_type": "code",
"source": "## Jhelum with Bovy potential\n#Scipy\nJra = 330\nJdec = -48.5061387\nJdist = 10.9609159\nJpmra = 5.9423197\nJpmdec = -6.45911851\nJvlos = -39.51550417\n\n#MCMC\nra = 330\ndec = -48.51120282\ndist = 11.48953538\npmra = 6.0641397\npmdec = -6.29869569\nvlos = -46.57731537\ndf = ms.FardalStreamDF()\njmass = 1e5*u.Msun\njpot = gp.PlummerPotential(m=jmass, b=0.01, units=galactic)\n\njhelum = coord.SkyCoord(ra=ra*u.deg,\n dec=dec*u.deg,\n distance=dist*u.kpc,\n pm_ra_cosdec=pmra*u.mas/u.yr,\n pm_dec=pmdec*u.mas/u.yr,\n radial_velocity=vlos*u.km/u.s)\ngalcen = jhelum.transform_to(gc_frame)\nw0 = gd.PhaseSpacePosition(galcen.data)",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "## Run perturbed stream\n\ngen_jhelum = ms.MockStreamGenerator(df, mw, progenitor_potential=jpot)\njhelum_stream, _ = gen_jhelum.run(w0, jmass, dt=-1 * u.Myr, n_steps=4000, nbody=unn, release_every=4, output_every=1,\n output_filename='Jhelum_massive_sag.hdf5', check_filesize=False, overwrite=True)\njhelum_stream_c = jhelum_stream.to_coord_frame(coord.ICRS)",
"execution_count": 5,
"outputs": [
{
"ename": "TypeError",
"evalue": "Can't broadcast (3, 4) -> (3, 1, 2)",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-5-c6adea56d2a7>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mgen_jhelum\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mMockStreamGenerator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmw\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mprogenitor_potential\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mjpot\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m jhelum_stream, _ = gen_jhelum.run(w0, jmass, dt=-1 * u.Myr, n_steps=4000, nbody=unn, release_every=4, output_every=1,\n\u001b[0;32m----> 5\u001b[0;31m output_filename='Jhelum_massive_sag.hdf5', check_filesize=False, overwrite=True)\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0mjhelum_stream_c\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mjhelum_stream\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto_coord_frame\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcoord\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mICRS\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/gala/dynamics/mockstream/mockstream_generator.py\u001b[0m in \u001b[0;36mrun\u001b[0;34m(self, prog_w0, prog_mass, nbody, release_every, n_particles, output_every, output_filename, check_filesize, overwrite, **time_spec)\u001b[0m\n\u001b[1;32m 231\u001b[0m \u001b[0mnbody0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0morbit_t\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mw0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnstream\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mastype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'i4'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 232\u001b[0m \u001b[0moutput_every\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0moutput_every\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moutput_filename\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0moutput_filename\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 233\u001b[0;31m check_filesize=check_filesize, overwrite=overwrite)\n\u001b[0m\u001b[1;32m 234\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 235\u001b[0m \u001b[0mx_unit\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0munits\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'length'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/gala/dynamics/mockstream/mockstream.pyx\u001b[0m in \u001b[0;36mgala.dynamics.mockstream._mockstream.mockstream_dop853_animate\u001b[0;34m()\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/gala/dynamics/mockstream/mockstream.pyx\u001b[0m in \u001b[0;36mgala.dynamics.mockstream._mockstream.mockstream_dop853_animate\u001b[0;34m()\u001b[0m\n",
"\u001b[0;32mh5py/_objects.pyx\u001b[0m in \u001b[0;36mh5py._objects.with_phil.wrapper\u001b[0;34m()\u001b[0m\n",
"\u001b[0;32mh5py/_objects.pyx\u001b[0m in \u001b[0;36mh5py._objects.with_phil.wrapper\u001b[0;34m()\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/h5py/_hl/dataset.py\u001b[0m in \u001b[0;36m__setitem__\u001b[0;34m(self, args, val)\u001b[0m\n\u001b[1;32m 629\u001b[0m \u001b[0mmshape_pad\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmshape\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 630\u001b[0m \u001b[0mmspace\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mh5s\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcreate_simple\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmshape_pad\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mh5s\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mUNLIMITED\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmshape_pad\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 631\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0mfspace\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mselection\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbroadcast\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmshape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 632\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mid\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwrite\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmspace\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfspace\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mval\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmtype\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdxpl\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_dxpl\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 633\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/h5py/_hl/selections.py\u001b[0m in \u001b[0;36mbroadcast\u001b[0;34m(self, target_shape)\u001b[0m\n\u001b[1;32m 297\u001b[0m \u001b[0mtshape\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 298\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 299\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Can't broadcast %s -> %s\"\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mtarget_shape\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcount\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 300\u001b[0m \u001b[0mtshape\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreverse\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 301\u001b[0m \u001b[0mtshape\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtuple\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtshape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mTypeError\u001b[0m: Can't broadcast (3, 4) -> (3, 1, 2)"
]
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "jhelum_streamU, _ = gen_jhelum.run(w0, jmass, dt=-1 * u.Myr, n_steps=4000)\njhelum_streamU_c = jhelum_streamU.to_coord_frame(coord.ICRS)",
"execution_count": 87,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-18T13:45:31.012812Z",
"start_time": "2019-06-18T13:45:31.001761Z"
},
"trusted": true
},
"cell_type": "code",
"source": "figure(figsize=(20,20))\n\nra, dec = jhelum_stream_c.ra.wrap_at(wang).deg, jhelum_stream_c.dec.deg\nplot(ra, dec,'.', ms=10)\nra, dec = jhelum_streamU_c.ra.wrap_at(wang).deg, jhelum_streamU_c.dec.deg\nplot(ra, dec,'.')\n\nxlabel('RA')\nylabel('Dec')\n#xlim(-60.8, 5)\n#ylim(-60, -40)",
"execution_count": 88,
"outputs": [
{
"data": {
"text/plain": "Text(0, 0.5, 'Dec')"
},
"execution_count": 88,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": "<Figure size 1440x1440 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-18T13:45:31.012812Z",
"start_time": "2019-06-18T13:45:31.001761Z"
},
"trusted": true
},
"cell_type": "code",
"source": "ora = np.load('ra_Jhelum_nc.npy')\nora[ora>180]=ora[ora>180]-360\nodec = np.load('dec_Jhelum_nc.npy')\noraerr = np.load('ra_error_Jhelum_nc.npy')\nodecerr = np.load('dec_error_Jhelum_nc.npy')\nopmra = np.load('pmra_Jhelum_nc.npy')\nopmdec = np.load('pmdec_Jhelum_nc.npy')\nopmraerr = np.load('pmra_error_Jhelum_nc.npy')\nopmdecerr= np.load('pmdec_error_Jhelum_nc.npy')\n\n\nfigure(figsize=(30,10))\n\nsubplot(131)\nra, dec = jhelum_stream_c.ra.wrap_at(wang).deg, jhelum_stream_c.dec.deg\nraU, decU = jhelum_streamU_c.ra.wrap_at(wang).deg, jhelum_streamU_c.dec.deg\nplot(ra, dec, '.', label='Perturbed')\nplot(raU, decU, '.', label='Unperturbed')\nxlim(-50, 10)\nylim(-20, -80)\nxlabel('RA [deg]')\nylabel('Dec [deg]')\nlegend(markerscale=6)\n\nsubplot(132)\npmra, pmdec, vlos = jhelum_stream_c.pm_ra_cosdec.value, jhelum_stream_c.pm_dec.value, jhelum_stream_c.radial_velocity.value\npmraU, pmdecU, vlosU = jhelum_streamU_c.pm_ra_cosdec.value, jhelum_streamU_c.pm_dec.value, jhelum_streamU_c.radial_velocity.value\n\nplot(ra, pmra, 'C0.')\nplot(raU, pmraU, 'C1.')\nplot(ra, pmdec, 'C0.')\nplot(raU, pmdecU, 'C1.')\nerrorbar(ora, opmra, yerr=opmraerr, lw=3, c='r')\nerrorbar(ora, opmdec, yerr=opmdecerr, lw=3, c='r')\nxlim(-50, 10)\nxlabel('RA [deg]')\nylabel('pmra or pmdec [mas/yr]')\n\ntitle('LMC + SMC + Sag')\n\nsubplot(133)\nplot(ra, vlos, '.')\nplot(raU, vlosU, '.')\nxlim(-50, 10)\nxlabel('RA [deg]')\nylabel('Vlos [km/s]')\n",
"execution_count": 89,
"outputs": [
{
"data": {
"text/plain": "Text(0, 0.5, 'Vlos [km/s]')"
},
"execution_count": 89,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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RioiIiIhI0Sm0ExERERGRcuX+++/nP//5D//+97/tpS7d9eCDD/Luu++SmppKv379SE1NddnuzJkz9OzZk6ysLKZNm0aTJk1uZOqlYuLEifaVW3kdP36c2bNnAzBixAi3x37zzTd59913mTdv3nXvlfb5558TFhbGV199xbvvvptvu2XLljFhwgQCAwOZNWvWdV2rNB05csT+bF354osvSEhIoGrVqgwYMMB+PCwsDA8PDwC+/fZbp36ffvppvmMOHz6catWqcebMGT777DOn89OnT3fnFkREREREpIR5lvUERERERETkz2Pv3r2cOHHCYc+uNWvWFLn/6dOnOX36NEePHgXg6NGjVK9enaCgIKpUqWJvN2rUKKe+58+fJykpyb6SLHf/mjVrUrNmTYf2Y8eOpXbt2rzwwgu0aNGCkSNH0qVLF6pUqcLx48fZsGEDn3zyCVeuXOHdd9/lpZdeKvJ9lAVbiLZu3Trat2/PyJEjadeuHRUqVODkyZNs2LCBjz/+mPPnzzNmzBieeuoph/4HDx4kKyuL8+fPk52dTVxcHOC4Kqxx48a8/PLLTtc+evQoly9ftpdizN2/efPmDgGfr68vUVFRjBw5kldffZUffviBZ555xl7q8ciRIyxcuJDly5fTqFEjlixZQtOmTYvxSRU/2/2NHDmSdevW0b9/f4KDg8nKyuLYsWMsWLCA5cuXU6VKFRYvXmzf2w6sqxZfffVVpk2bxssvv8zJkyd58MEHMZlMfPfddyxYsMDe9uDBg1y6dMn+TKtXr84333xD3759GTNmDCdOnKB3795kZmYyf/58Dh06RKdOnVi/fn2pPxMREREREXFmsBRWn+Mml52dzbx58/jiiy84fPgw6enpNGzYkN69ezNu3DiqVq3qst/mzZuZNGkSGzduxGw2ExISwuuvv06PHj1K+Q5ERERERP48IiIimDdvntv9Jk2axOTJk5k8eTJTpkxxOj937lwiIiIKHCMyMpJnnnmmwPFduXDhArNnz2blypXs3buX1NRU/Pz8aNKkCT169GD48OE0atTI3VsqUHx8PA0bNqRr165ulQYtTGxsLD/++CO///47+/fv5+TJk6Snp+Pr60u9evUIDw9n6NChdO7c2alvcHCwy73RivJPym7durFu3TqX544ePUpwcLDLczt27OCLL74gKiqKxMREMjIyqFatGm3btuWRRx7h6aefxsfHp9Dru8P2Z6wof6aKKjMzkzVr1vDLL7+wZcsWDh8+zLlz5zCZTAQEBNCiRQseeOABRowYQa1atVyOMX/+fD766CN2795NdnY2derUoUePHvz973+ncePGDm3zPtPY2Fj73pCXL1+mQYMGDBw4kNdff53777+f3377jfnz598S5V1FRERERMqzWz6069u3L8uXL2f06NG8+uqrBAQEsHr1av7v//4Pf39/tmzZ4vSPnlWrVtG7d28efvhhPvjgA7y9vZkwYQKzZs3iyy+/vK69F0RERERERERuNXfccQexsbGsWrWK+++/v6ynIyIiIiLyp3ZLh3YxMTGEh4fTunVrdu/ejcFgsJ979913GTduHOPGjePtt9+2H798+TJNmjTBy8uLgwcPUqFCBQDMZjPt2rXjyJEjHD582Kk0joiIiIiIiMit5pNPPiEkJITQ0FCnc5cvX6ZatWqYTCZOnz7tUJZTRERERERKn7GsJ3AjbKVZWrZs6RDYAbRq1QqA3bt3OxxfsGABycnJDB482B7YARiNRiIiIrh06ZLLDbpFREREREREbjVffPEFEyZMcFnGdObMmWRmZvLkk08qsBMRERERuQnc0qFd27ZtMRgM7Nu3z+kfIHv27AGgdu3aDsdXrlwJQHh4uNN4tmO2NiIiIiIiIiK3ulWrVvHwww+zfPlytm/fzi+//MKoUaN4/fXXad++PR988EFZT1FERERERLjFy2MCzJgxgzfeeIPnn3/evqfdmjVrGDp0KGlpaWzYsMGhDEiTJk04fPgwO3fupG3btg5jJScnc9ttt+Hv78/FixcLvXbe1X0iIiJy87rFv+W55en7JhERkVuLvncqW/reSURE5NZSXN873dIr7QDGjx/P8uXL+fHHHwkKCiIgIIBHH32UVq1asWbNGqe6/cnJyQAuS39UqVIFgLS0NNLT0/O95uzZs+nQoUMx3oWIiIiIiIiIiIiIiIj8mXmW9QRu1Pjx43nnnXf429/+xujRo6lcuTJr167l66+/5uzZs07tr1y5AoCXl5fTOW9vb/uv09PT8fPzc3nN5557jueee87+qSd9+kxEROTmpU8p31z0fZOIiMjNTd873Vz0vZOIiMjNrbi/dyrzlXbBwcEYDIYiv5588kl73wULFvD222/Tt29f3n//fYKDgwkMDKR///489thjPProo/z73/92uJ6vry8A2dnZTnPJysqy/zq/wE5ERERERERERERERESkuJX5Srunn37a5Yq4/OQudzlv3jwABg4c6NTu0UcfZciQIbz22msMHz7cvoqudu3aHD58mNTUVOrXr+/Q5/z58wD4+/srtBMREREREREREREREZFSU+ah3ZQpU667b3x8PAC33Xab0zkvLy+qV6/OqVOnOHToELfffjsAbdq04fDhwxw9epS2bdu6HK9169bXPScRERGRW0VKSgrPP/883333HXPnziUiIiLftgcPHuT1118nKiqKK1eu0Lp1a8aOHevyw1MiIiIiIiIiIuK+Mi+PeSOqVasGwMmTJ53OZWdnk5KSAjjuX9erVy8AYmJinPps3LjRoY2IiIhIebVkyRJatWrF6tWrC227a9cuOnTowJkzZ4iJieHkyZP07t2bxx9/nGnTppXCbEVEREREREREyr9bOrTr06cPAIsWLXI6t2TJEkwmEw0aNKBJkyb244MGDaJmzZp88803ZGRk2I+bzWbmzZtHxYoVGTZsWMlPXkRERKSMfPLJJ4wePZo5c+bQr1+/AtuazWaeeuopzGYzixYtokmTJgQEBDBx4kT69OnDhAkTiIuLK6WZi4iIiIiIiIiUX7d0aDdmzBg6dOjAf//7X1555RWOHTvG+fPn+e6773jhhRfw8vLi448/xmAw2PtUqlSJyMhITp48yVNPPcWJEydISUlh1KhR7N69m48//phatWqV4V2JiIiIlKw2bdqwZ88eevfuXWjbtWvXsnv3bvr06UPNmjUdzg0dOhSz2cyHH35YUlMVEREREREREfnTuKVDOz8/P3799Vf+8Y9/sHr1am6//XZq1qzJ2LFjefDBB9m8ebPLUpc9e/bkt99+4+LFi7Rs2ZKGDRuyd+9efv75Z5566qkyuBMRERGR0tO5c2cCAwOL1HblypUAhIeHO52zHbO1ERERERERERGR6+dZ1hO4Ub6+vrz++uu8/vrrbvXr2LEjP//8cwnNSkRERKR8iI2NBSA4ONjpXO3atalQoQInT57k7Nmz9v2GRURERERERETEfbd8aCciUh5lZmZy7tw50tLSMJlMZT0dkZuKh4cH/v7+VK1aFR8fn7KeTrmXnJwMkO/KvMqVK5ORkcGpU6cU2omIiIiIiIiI3ACFdiIiN5nMzEwSEhIIDAwkODgYLy8vh705Rf7MLBYL2dnZXLx4kYSEBOrXr6/groRduXIFAC8vL5fnvb29AUhPT3d5fvbs2cyePbtkJiciIiIiIiIiUo7c0nvaiYiUR+fOnSMwMJDq1avj7e2twE4kF4PBgLe3N9WrVycwMJBz586V9ZTKPV9fXwCys7Ndns/KygKsew278txzz7F169aSmZyIiIiIiIiISDmi0E5E5CaTlpZGQEBAWU9D5KYXEBBAWlpaWU+j3KtduzYAqampLs9fuHABgFq1apXanEREREREREREyiOFdiIiNxmTyZRvGToRucbLy0t7PpaCNm3aAHD06FGnc8nJyWRkZHDbbbdpPzsRERERERERkRuk0E5E5CakkpgihdPfk9LRq1cvAGJiYpzObdy40aGNiIiIiIiIiIhcP4V2IiIiIpKv++67jzZt2rBixQpOnz7tcG7OnDkYjUb++te/ltHsRERERERERETKD8+ynoCIiJSutIxslmxLYu6GeJIvZJCVY8bb00jtyhV4plMw/UOC8K+g8pwiYmU0Gpk3bx5dunThscce44svvqBGjRp8+OGHrFixgjfffJM77rijrKcpIiIiIiIiInLLM1gsFktZT+JWZSvLpUcoIsVp3759tGzZstjHvZyZw5Tle1m28zhGo4ErWc57gfl6GTFboN+ddZn00O1U9NFnO+TmVpS/L/p67Sw+Pp6GDRu6PNegQQPi4+Odju/fv5833niDqKgorly5QqtWrRg7diyDBg0q0jX1PoiIiNwa9DX75qD3QURE5NZQ3F+zVR5TRORP4HRaBn3+vZ7/7jxOZo7ZZWAHcCXbTGaOmWU7j/PQf9ZzJi2zlGdqFRwcjMFgcPny9fWlVatWTJ48mfT09BKfS2RkJJMnTy7x6+TWrVs3+/1269atVK89YsQI+7WDg4NL9dpSeoKDg7FYLC5frgI7gBYtWrB48WLOnj1Leno6W7ZsKXJgJyIiIiIiIiIihVNoJyJSzl3OzGHgrBgSz6WTlWMuUp/MHDMJZ9MZOHsjlzNzSniGzuLj4x0+nWILE7Kzs9m1axchISFMmTKFe+65p8SDu8jISKZMmVKi18grOjq6zD5R++mnn2KxWGjQoEGZXF9EREREREREROTPSqGdiEg5N2X5Xo6fv0KO2b0QKMds4XjqFd5cvreEZuY+T09PmjVrRmRkJG3atGH79u189NFHZT0tERERERERERERkRum0E5EpBxLy8hm2c7jRV5hl1dmjpllu46TlpFdzDO7MUajka5duwLw66+/lvFsRERERERERERERG6cQjsRkXJsybYkjEbDDY1hwMD3248X04xKVmJiIs8++yx169bFx8eH+vXrM3LkSJKTkx3atWjRwr5vW0REBFu3buX+++8nICDAfjwyMhKDwcC6desAHPbVi4yMtJ+3vXJr3bq1/Xju/fBiYmIc+kRFRTFz5kxatmyJt7e3fT55HTx4kH79+hEYGEjFihXp3r07GzduvKFnYLN8+XLCwsLw9fWlRo0aPPXUU5w6dcqNpy4iIiIiIiIiIiLFQaGdiEg5NndDPFeyTDc0xpVsE3N+P1pMMyoeZrPZHqbZVtzt27ePkJAQoqOj+f7777l48SILFy5kzZo1hIaGcuLECXv//fv3c/So9Z4OHjzI2LFjmTFjBidOnGDcuHEAREREYLFY7OPb9tWzWCxEREQ4nc8tLi6OqKgop+MdO3bEYrEwadIkAKZPn05SUhJr1qzhyJEj3H777U59zpw5w9ChQxk3bhzJycn8/vvvnDt3ju7duxMdHe3Q1p1nADB//nz69etHpUqV2L17N0lJSTz++OMMGDCAjIyMIr0XIiIiIiIiIiIiUjwU2omIlGPJF4oneDl18eYIcEwmEwcPHuSZZ54hNjaWdu3a8fzzzwMwZMgQzpw5w+zZswkLC8PHx4fw8HBmzZpFYmIir7zyissxN2/ezFdffUVISAiVKlVi9OjRDBw4sFTux2w2884771C3bl2CgoJ47bXXCAsLc2izd+9e3nrrLe6++258fHy48847+e6778jKymLYsGGYzddKn7rzDC5evMioUaOoVKkSixcvpmnTpvj4+NCrVy+GDBmi1XYiIiIiIiIiIiKlTKGdiEg5dr172eWVWUzjXC9bOUlPT0/uuOMOtm7dysSJE1m/fj1+fn5s3ryZbdu20bBhQ+69916Hvvfeey81atRg8eLFXLp0yWns0NBQGjRoYP99UFAQ3377bYnfE8Bjjz3m8PsnnniCkSNHOhyrWbMm3bt3dzjWrFkz2rVrx6FDh9iwYQOA289g2bJlXLhwgQceeIDAwECH9oMGDSqW+xMRERG5lW07lspHUYfYdiy1rKdSIsr7/YmIiIjcijzLegIiIlJyvD2NxRK4+XiW7Wc8LBZLgec3b94MwJ133unyfL169Thz5gyxsbGEh4c7nSsrRbl2fm2aN2/O9u3b2blzJ507d3b7GezYscM+Tl6VKlWiatWqRb0NERERkXJn27FUnq52l2wAACAASURBVPg8hqwcM96eRuY/25GQBoGFdywF246lEnPkLB0bVSvSnFy1v5nvT0REROTPTKGdiEg5VrtyBY6dTb/hcWoFVCiG2ZScCxcuALB06VIMBkO+7VyVfPT19S2xeRWmKNeuVKmSy+MVK1YErt27u8/g4sWLDuPk5e/vX+jcRERERG4l7oRdMUfOkpVjxmyB7BwzMUfOFjnUKup13A3fbH3cCdvytp/YpxWp6VnsTDxPZrYZC5CZbWbJ9iSFdiIiIiI3AYV2IiLl2DOdgnn7fwe4kmW67jF8vTwYenfDYpxV8atSpQpgLS/59ddfl+q18wvI0tNvPCwFXJb0BLh8+TIAlStXBtx/BrZ+tnHySktLU3AnIiIit4SihF/uhl0dG1XD29NIdo4ZL08jHRtVK/JcinIdW7vMbDMeRgNv9mvN4LD6hd5X3jBxyfakAu89d/usbDMT/huL2QK561hYgAWbEwjw8WR8r5ZFuk8RERERKRkK7UREyrH+IUFM/2n/DY1hwcIj7esW04xKRlhYGADx8fEuz6ekpLB161a6dOmCn5+fW2MXtGoNrq2Wu3z5ssOqtePHj7t1nfwkJia6PL5/v/V9bdeuHeD+M2jfvr3DOLldunSJc+fOKbQTERGRm0JBoVxRQzJXK+cAlmxPwgA80j7IoV9Ig0DmP9vR7ZVwRVmht+1YKh+sOUhGtrWMfY7ZwsRlcTSv7V9o+UpbmJiZbb3Gwi0JmM3Yg7/mtf0d5pw7fAQw5VN13mKBT389Qv1qrqswiIiIiEjpKNtNikREpET5V/Ci3511r3tPOh9PI/3a1sW/glcxz6x4dejQgdDQUDZu3MjBgwedzk+ZMoUXXniBChXcL/MZGGj9wUlGRgYA//znP+nfv7/9fNOmTQE4cOCAQ7+lS5e6fS1XTp8+zdq1ax2OHThwgJ07d9KsWTM6deoEuP8M+vbtS5UqVVi9ejWpqakObRcsWFAscxcRERG5Ubbw6v1VB3ji8xi2HXP8vsVVSLbtWCofRR1yaGsLrzwM4OVpJNDPm0GzN/LNpgTmb0pg0GfOY4c0CGRU9yZulY10dZ3cc7Hdz++HUhz6mS0We5AI1jDRFszZVtR9FHUIgIjwYCxYV8iZzNb/5pgtTFgWx6DZG+3P6ptNCcQcOcvEPq0Y+0DzIt3He6tu7AN/IiIiInJjFNqJiJRzkx66nbqBvngaC14xlpen0UDdQF8mPnR7Cc2seH355ZfUqFGDPn36sGbNGtLS0jhx4gSTJ0/ms88+4+OPP8ZodP/LXocOHQBYs2YNKSkpzJs3z2EF2uDBgzEYDLz66qscO3aMlJQUpk2bhtlsLpb7ql+/PmPHjmXDhg1kZWWxa9cuBg4ciLe3N5999pnDSkB3noG/vz8ff/wxly5dYsCAARw6dIjMzEx+/PFHZs6caQ8rRURERMpSfivkbFyFZK5CPtvKuYGh9enfPoi4ExfIzrXszNXYNq5CwPyO264z9oHmTOzTijdX7HGYS8yRs/YwLjcPo8FegnPbsVS+25poL2FptsC3mxN4738HGDR7I4u2uq7EYDZbyDZZrKUwc6ylMN/73wEm/xBHx0bVqOLnXejzPnc5u9A2IiIiIlJyFNqJiJRzFX08WfhcOPWq+uFdxBV3Pp5G6lfzY+Fz4VT0Kf1KysHBwQ5hlMFgwGAwEB0dnW+f5s2bs337du677z6GDh1K9erVCQsLIy4ujvXr1/PAAw/Y23br1o2GDa379M2bNw+DwUC3bt1cjjt69GgGDx5MREQEjRs3pl69ekybNs1+PiwsjK+++orExESaNm1KaGgofn5+jB8/HrCucDMYDGzdupX4+HgMBgNTpkwBoHv37hgMBiIjIx2u2a1bN/v9N2zYkNmzZzNx4kRq1KhBeHg4gYGBREVF0aVLl+t+BgCDBg1ixYoVpKWl0bp1a2677TY+++wzvv/+ewICAjh27BgGg4ERI0bk+9xFRERESlLeUC7v3nK5Q7L5z3YkNT2rwJDv++1JLNicwOJtSXjk+tY4v33r8lvpl/f4N5sS7AGerSzlwi0JZGQ7ziXQzxtXFSpzTBa+2hhPj/ejeWbuZodA0QL2feiyTBbOpTsGa4arLy9PIx5G66+xWEth2vp8uu4w0QfPFPGpi4iIiEhZMVgslnwqmkthbD9Q1SMUkeK0b98+WrYs/g3gL2fm8Obyvfx353GMBriS7bwSzNfLA7PFwl/urMvEh24vk8BOxB1F+fuir9c3B70PIiK3roL2lCuNsdzpYwvTsnPMeHgYeTQkiP7tgwD4YM1B1v+RggXwMMDjofU5nZbJ6YsZDLyrPoPD6juN91HUId5fdQCzxRqGDQ6rz9SH2zgcNwJGowGzxYK3p5GJfVox+Yc4snIFb96eRhYMs+6R997/DrgM7q6H0WDdj85ggL5t6/BjXLJ1/7qrx22a1KzE4dOXinTdY2/3AfQ1u6zpeycREZFbQ3F/zdZPY0VE/iQq+njy9qN38Eaflny//Thzfj/KqYsZZOaY8fE0UiugAkPvbsgj7W/+PexEREREJH83GrLl7g/wxOcxZOWY8fY0Mv/ZjvYx3b3ON5sSmLgszh5u5R6rICENAgtsZ5tHoJ83qelZTOzTij0nLrBwSwILNiWwaEsCRqORHJMZC9bwzcNooFWdynz3QxzZJgv7TsbRvLa/03U6NqqGh9GA2WTBAizcksAj7YPsKwCzc8wYDNbAzraibuGWBIfADuDRkCBCGgRyIDmt2AI7D6MBs9k6L4sFfth1AsvV1XV5L9KwekWOnLmE8h8RERGRm5tCOxGRPxn/Cl483SmYpzsFl/VURERERKSY2VaauQrZrqd///ZBTuUmQxoEun2dbcdSmbgsjpyrm7llZpv5YM1BXuzRrEjzyy8gtM0jM9sayBkN1r2Z61f1I+dqYYkcM5Brv2ELgMFA1IHT9nAty2RhyfYkAIcAMNDPG1OuAC7HDEu2JzHt4TbMf7ajve2bK/bYV/ftOXnRaf4BVytYxJ24UOi9umIAPD0MmMwWDAYD97WoSbfmNR2eqcVivf88eSHeHga6N6/JL/tOXde1RURERKT0KLQTERERERERuUm5u5ot5shZlyFbUeXtbwH7irLc+765e52YI2cxmR33aVv/Rwpb4s8VKfDLLyC0zcM2stliDeAOnbnsMEbuVWkAOSYzpy9mOLQ5dCrNfh1bOUwPo4G8ReVT0jIBxxWAzWv7E3PkLMfPX+HbzQlO9/D5+qPUr1aRxduS8r3Pgnh5GJjctzWp6VlOfxYmLovDbLbg7WWkS9MarNprDecMQOem1XmxRzOnvf1ERERE5Oak0E5ERERERETkJnQ9q+Zyl23MHbIVVd7+/dtb94TLGxy6e52Ojarh42UkK/vafmsWrgZ+ny0ixPOkteHkyU59CwoIbfPIyjZjxhpU5a0A6e1pZPJDrYg+cNoeaJktEN6oGntPXiT76tK0bcdSMVuu9beAQ9BIruP5aV2nssN8bMwWCz/FnSTHdO2oEehxey12J50n+WKmwzgeBmtJy8NnLtvnkZqexajuTRza2fbh+ynuJD1b3wZgv0cL0LP1bfZn5e1ptK9INGANArs1rwlA9IHT5JitJT5FREREpOwotBMRERERERG5CV3PqrmQBoH2so3Xs6ddfv3zjnM91+nfPggL1mDLVk7Sy9NIxzkfwIn91kYuQruCAsLc8wj08ybuxAUWb0vCZDLjYTQwoEM9Hmlv3U8uNT2L1XtPWctoAv6+XgzoUI8FmxKs+8JxdWXd1f3pbAFg3iBw3cEzbDuW6rC3X+5wdWKfVqSmZ5F2JZvP1x+17+HXs/VtbDx8FvPVjeUsQHV/H/56XzNeWxprH//+22sxomtjwLqfYEHB6LZjqby5Yg9ZOWa2xJ/jkfZB9vkagdT0LJfPKe+KPduKzrQr2fz97ULfShEREREpIQrtRERERERERG5C17tqLnfZxutR1P5FbedqnzyHwO8f+wu9TkEBYd55uFoZCNdW++V9nt9vTyIr24zRYODZzg3x9/Ui0M+bn+JOsv6PFKeVdSaTY4CaN1zNvSLu/la1neYy4b+xmK6u6Fu8LYn+7YOY9nAb+2o52+o5oNBgNObIWfvquaxss30FXbbJgqeHwSngzO/9sh1/4vOY/N8IERERESlxCu1EREREREREbkI3umruRri7l15BXK0YHNW9iVvjuhNE5tc2v+c5sU8r675wFguRG+MdypD+9keKvb+nhwGL2eIUoBa2EjD3XAaH1WfPiQt8c3V1ny0AHNW9iUNY56q/q/ck0M/72n5+wB+n0q6V5TQYCnxOecdbsj2JzOy8O/iJiIiISGlSaCciIiIiIiJSiOIMsdyRXwBVkvO5nr30CnKj++wVJ1fPMzU9y14SM3cZ0tT0LIdSk491qEfdKr5Oz9ytcHXyZB4xV2QJzck2eBRY9jL3eK5KcO45cYG44xcc+m2OT7X/OjvHzJLtSQ6h35LtSRiAVldLlGZmW8uIPtu5IYu2Jha4X5+IiIiIlDyFdiIiIiIiIiIFKO4Q62afz/XspVeQ/EItezBVpwUhJwoukVmS8gsV85bT7H91bzxXirwScMoUQoD5dVoQ8/VylyHfN5sSeGNpLGbA0wgLh3dyeE+yss288d9YzIUkbBbg280JBPh4ciTlMmv2nXLZJ8dsYdavRxTYiYiIiNwEFNqJiIiIiIiIFKC4Q6ybfT4lsTIub6jlEDw+PpX5375eZsFdfqHi9ZQntQWRgX7epKZn2Z+dbQzqtGBJ63sxAI9cPfdR1CF7uyXbk1hwtXQmQI4ZZvy0j/E9W9rfEwBTERM2swU+/fVIoe0U2ImIiIjcHBTaiYiIiIiIiBTgZirvWFzzyV1+EXAIpkpjLz2H4NHoQUz9NmW62s5239uOpdpDNNuxwsqTAvagzlZy0haCGQEPDwMmswVPDyPmQdPJ8bD+KGbBpxswGsBkBqPRgAELOS62lNsSn8rqPck80j4IA/D7oRTiz6aXzIMQERERkTKl0E5E5M8m4yLsWgAxn0DaScjJBE8f8L8NOo6EtoOgQkBZz1JERETkplEaIVZpzif3KjdPowEMBnJMjqU2i1zu8To5BI9mEx0TYkvkOu7s/VeUsqPbjqUya91hftl/GpPZgsFgDeYsgNFgDedyr1ozA+ary+Kycsxg9ACDwXrOgr1cpamQWpe21XK2PfZEREREpHxSaCci8meReQl+Hg+x34HBCNm5Pp2bkwGpR2HNZFg9EdoMgP83A3wqldl0RURERG4mJR1iuetG5uOwys1kAaxBU2mW/nQIHp98qERW2RUWwuUN9HI/l8xsM28u38PAu+qTmp5FoJ83cScu8N3WxKvPzMpiAdPVX5stFgyFTcpisb7AHt65o6QCu7/cWYcVu09itigSFBERESlLCu1ERP4M0k5BZC84nwimzPzb2YK83YsgIQae+REq1SydOeYSHx9Pw4YNnY4//fTTREZGOhwz5PlhR4MGDYiPjy/B2ZWOyMhI4uPjmTx5cqlds1u3bqxbtw6Arl27Eh0dXWrXHjFiBLNmzQLKz3soIiJyo9xZJeaO3KvcPCwmwIAJA16eHqVa+tMePBYxsCvoebgqV3n8/BWHEO6DNQd5sUczexnMJz6PITPbjIfRwJv9WpN2JdseilmAXUkX2JXk3grAQiMvoxEsFoxYMBs83Bq7uHgYHPfE+8uddfjg8XYMCQ8m5shZXphRJtMSEREREcBgsehjVNfL9oNiPUIRKU779u2jZcuWxTdg5iWY3RVS48GcU/R+Rk8IbAjPRZfZirvo6Gi6d+9eaIBka1ee/n9sC9DK4p4MBkOph3Y2wcHBAEUO7Yry90Vfr28Oeh9ERNxTlFKNNzq+bZUbQEz9NnT8dlbZrCbM/SGsfL5OuHoecG0vuck/xJFtsuBhBKPRSI7Juq9c3uE8jAaGGY6z0RzALktFuLo2rlTLTprNPPBHDGtadKKQqpjAjc3truBADMChM5eo5V+Bdg0C6d8+iAPJafwUd5KerW9jcFh9x+vpa/ZNQe+DiIjIraG4v2ZrpZ2ISHn383jrCjt3Ajuwtj+fYO3f7z8lMzcRERERccmhhGUJlK3Mu8ot5MR+aLDousYq7hWB246l8v32JM6kZVLd34f+7YOcnseS7Uks3pZEdo4ZuBZq5ZgBsznfsU1mC59abrt24GpeWGqxiMWCp9lEjfTzDocNBqjk44GHwcD5K9e+b//LnXX4eU8y2TlmjEYD1Sp6k3zRsXJGk5qV6NGiJmmZOSzcksDVR4Knh4HxPVu6fE9CGgQ6hXUiIiIiUvYU2omIlGcZF6172BVUErMgpkyIXQwPToMKAcU7NxERERHJV+4Sll6exlItW+kOd1YEfrMpId/VXdvqtCCmfhsCNyUw6eqqOZtFWxNpWqPStVVpBgMpaZlk5eQfzhXqOvaTK/LQuX6dNwyskXaOT5dNB2BJaB+ycswYDdbynLZnkvc55S39+cTnMWRlW0O83P0AHmkfxJLtSRiu/vpm2odRRERERApnLOsJiIhICdq1AAw3+L96gwF2fVs88yklM2bMwGAw2F9paWmMGDGCGjVq4Ovryz333MP27dsd+nTr1s3evlu3bmzatIkePXpQuXJlKlasyL333svmzZtdXi8xMZFnn32WunXr4uPjQ/369Rk5ciTJyckO7Vq0aGG/RkREBFu3buX+++8nICDAfjwyMhKDwWDfWy73fURGRtrP2165tW7d2n489154MTExDn2ioqKYOXMmLVu2xNvb2z6fvA4ePEi/fv0IDAykYsWKdO/enY0bN97QM7BZvnw5YWFh+Pr6UqNGDZ566ilOnTrlsq2IiEh5s+1YKh9FHWLbsdR824Q0CGT+sx0Z+0DzYi+N6Y7C5upqRaCrfjN+3MdrS2P57Y8UXlsayzebEuztnvvLazw2eAbv3vMkry+NdQjsAHJMFvYlp9l/bzJb2J3kuFLturhZwsiAYyDnYTQwoksjvD2NGHL9/uUHm7N4ZCcWj+zE4LD6eBitvbw8DHy6bDohJ/YTcmI/85/tyEsPNGfh8HCH4G1wWH2++r8w+7GQBoGM6t7Evjpy/rMdeelB5362ttMebsPUh9sosBMRERG5BSm0ExEpz2I+gez0GxsjOx1iPi6e+ZSS8ePHY7FY6Nq1KwDPPPMMDz74IIcPH2bt2rUcOXKEXr16cfnyZXuf6Ohoe+3pI0eOMHz4cN566y1Onz7Nb7/9xunTp+natSsbNmxwuNa+ffsICQkhOjqa77//nosXL7Jw4ULWrFlDaGgoJ06csLfdv38/R48eBayB2NixY5kxYwYnTpxg3LhxAERERDjM3WKx2F8RERFO53OLi4sjKirK6XjHjh2xWCxMmjQJgOnTp5OUlMSaNWs4cuQIt99+u1OfM2fOMHToUMaNG0dycjK///47586do3v37k573bnzDADmz59Pv379qFSpErt37yYpKYnHH3+cAQMGkJGR4eIdFRERKT9sK9PeX3WAJz6PcQ7DJk+2v3KHNWWh0LlybUWghwH7isDc/QZ9FsNzX27l01+POPSb+ctBvtmUwMDZG1nVLByT0QOMHkUuU5m3RGRBmtSoiDHvwjqzGaPFTN7DQVUq0DaostNxGwvWH6Tc07Q6i4aHc3+r2vbwz8MA97eq7RCwTXu4DYuGh/PKg8359rlwaxnSq673/S3rPxe3MrPZzOrVqxk9ejTt2rWjatWqBAQE0KpVK1555RWn71ttDh48yIABA6hevToVK1YkLCyMhQsXFnitn3/+ma5du+Lv709gYCB9+vRh27ZtJXFbIiIiUo4otBMRKc/SThbTOK5XS90qOnXqxMMPP0xAQADh4eGMGTOGU6dOsXr1apftExMT+de//kV4eDg+Pj60b9+eBQsWkJGRwbBhwxzaDhkyhDNnzjB79mzCwsLw8fEhPDycWbNmkZiYyCuvvOLyGps3b+arr74iJCSESpUqMXr0aAYOHFjs9+6K2WzmnXfeoW7dugQFBfHaa68RFhbm0Gbv3r289dZb3H333fj4+HDnnXfy3XffkZWVxbBhwzDn2ivGnWdw8eJFRo0aRaVKlVi8eDFNmzbFx8eHXr16MWTIEK22ExGRcifvirP8VqbZTZly7VXG8s71++1JTqvuQhoEMrFPKxpWr0hQoB+r9yTz5vI9ZGRb+2XlmFm11/nre/LFTN5YGkuOyWKt7GAwuL3yraiGdm7EP/7SBg+DdaWcpymHwbt+5rv5r3L/7bUc2nZpXpOJD7XCx+tqEOlhoG1QZUZ0aWQ/5u1l5MUezQhpEEjMkbPkmC1YsK4AdHo/uUlCtsTN8Nv71v/+iZ07d44HHniAVatW8d5775GQkMDhw4d58cUXmTlzJu3atSMpKcmhz65du+jQoQNnzpwhJiaGkydP0rt3bx5//HGmTZvm8jpz5syhZ8+etG3blmPHjhEbG4u3tzedOnVy+gCciIiISG7a005EpDzLuc697PIy3dqrn/r16+fw+5YtWwLwxx9/uGxfs2ZNunfv7nCsTZs23H777ezdu5etW7fSoUMHNm/ezLZt22jYsCH33nuvQ/t7772XGjVqsHjxYmbNmkWlSpUczoeGhtKgQQP774OCgvj229IpQ/rYY485/P6JJ55wauPqGTRr1ox27dqxfft2NmzYQOfOnd1+BsuWLePChQv079+fwEDHH1wNGjSI5557rpjuUkREpGC59wkrqTDFtuIsM9uMx9X9x26Wvers91+nBSEn9lv3lIs6RKCfN3tOXMACBPh42ktCWsBe0tLHy7p3HcCn6w6zOlcod+j0pSLPwWFHuusI7IwGMBoM5Jiv9TUAdwVb38/MHDMD76pvLyHZvLa/9Z6ffMi+4m1418ZEHzhNtsmCl4eB/lf3gZv/bEenPx/3t6rtdKzU3s/EzRD/GwTfA/VC3eu7NRJ+fAnMJjB6QK/3oUNESczylhEZGUl4eDgAlSpVYtiwYcTFxTFz5kw+++wzplwNzc1mM0899RRms5lFixZRs2ZNACZOnMiWLVuYMGECffv2pXXr1vaxk5KSGDVqFKGhoXz44YcYDAaqVq3KV199RePGjXnqqaf4448/8PHxKf0bFxERkZueQjsRkfLM0wdyiiFw86hw42Nch7x7tl2vOnXqOPzeFqClp7suHVqvXj2Xx5s3b87evXvZuXOnPbQDuPPOO/Md58yZM8TGxtp/KFDYNUpDUa5d0DPYvn07O3futId2UPRnsGPHDvs4eVWqVImqVasW9TZERESumy1My8ox4+1pvKE94woK/2KOnCUz24wFyDFbmLgsjoXDw10GQqXJ4f4fn0rE1h/4PPRhTP87kG95ytyZWka2mVeX7CY+5RI55nw63AADUCvAh/pV/WhSy58zaZms2XvKXpry7qbV6dn6NlLTswj08+bNFXvIyjFjNFiD0bz7vNnYSlaSp0TlgufCnd4Pe9u8/Y1/wK6PINYCbQcT0iDU9fvpbshWUPvEzTCvL5iywMMbnv6h6GP+/gHs/xFs76w5xxrg1brdOkbiZtj1DWCAtoMKH/MWV7lyZaKiopyqTAA0bdoUgPPnr+2XuHbtWnbv3s3AgQPtgZ3N0KFDWbFiBR9++CGfffaZ/finn35KRkYGzzzzjMO/ZypWrMjAgQOZOXMmixcvdvnBORERERGFdiIi5Zn/bZB6tBjGqX3jY1yHChWsYWFWVlaB7TIyMvD19c33fN5ztn88W/L5RHfeVXE2FStWBODChQsO/126dGmBAaOrko8FzbekFeXaJfUMLl686DBOXv7+/oXOTUREbh6lsVqtJLgqUXk98y8s/OvYqBoexmsrwcwWa/nEki6VWND7su1Yqr18JUCGhyefhvW3lqd0gzsr6gplseBpysGIBZOXN16eRj56IsQ+923HUvntjzP21Wy20pQ29hV0Rf1zGOQBwR4QbwLyBHSFhWdze4E52/r77V9Dr/cIuXKWkCb3AOfgt9/Atxr89AqYssHDC3q+C1fOWsfMO1781fY/jwdTJmCA+h2hRjOofae134Uka2BnMVn/u2vBtX62cW1zzT3mT69Y2+dlzoGvHoGKNSA1Hvuax61zwVC+d1Hx8vKiW7duLs/FxMQAcN9999mPrVy5EsDpA3i5j9naFLXPzJkzWblypUI7ERERcUmhnYhIedZxJKyZDNmuV5QViZcfdHy+2KbkjmrVrOWFzpw5U2C7lJQUe9vicOmS6x9CXb58GbB+QhegSpUqgLW85Ndff11s1y+K/AKy/FYPuquknoGtn22cvNLS0hTciYjcoNIK0opztVppK66ShoWFfyENAnmzX2smLovDbLHgXQrlMLcdS2XgrA3kmMHTCG/2a0PciQukpFnLpkddLQVpZwtpiqnCQWE8DGDK87mpBw5uZPjm7wGI+Xq505/d/MpV5j4fYvwD4peBsZCVbVsjIcLPupwPYPUkuP/q/oGJmyGy97WwLeJqGLNrAWCBxK3XAjuw/nrlWOs524AWE9cKimINzVaMsR7zrADtvcDPAOkWmNvTGqDldex368uBbXyz9R5yFxc1esJtbaFqY4hbbG1TmKw068uB5er8/zwyMjI4duwYX3zxBQsXLmTSpEn07dvXfj42NhaA4OBgp761a9emQoUKnDx5krNnz1KtWjVMJhN79+7Nt4/tmG1cERERkbwU2omIlGdtB8HqiTc2hsUCbR8vnvm4qVGjRvj7+3P06FEuXLhgD3zy2rFjB3fccUexXTcxMdHl8f37raWU2rVrB2AvqxMfH++yfUpKClu3bqVLly74+fm5NYfCSoPaVstdvnzZYdXa8ePH3bpOfkrqGbRv395hnNwuXbrEuXPnFNqJiNyA0gzSimu1Wl4OoePcD6+dmDz5hse2KSwEKur8ihL+DQ6rjA+P7wAAIABJREFU7/5KsOu07Vgqf/12h71kZY4ZXltaSDhgMFzXfnIOQ0C+ZTVzu//2Wozo2pgl25M4dCrt2p5zHfvY24R0b+LcMXEzIQm/WVez1XN9nsg+1pVqBg/o/U9r+Udb2cfabSF5J1w6Awd+stbYtN337x/A4V8gJwsyzl9bmWbKsn74LXGT62DNxmXI5eppWCDnCvSqcC0wLGjcfMe0OI9vzoHj26wvKbKff/6Znj17AtZy+l9++SUDBw50aJOcnAzgtBezTeXKlcnIyODUqVNUq1aN1NRUsrKyMBgMLv/tYvvAm6tKHDazZ89m9uzZ13VPIiIicutTaCciUp5VCIA2A2D3oqvldtzk4QNtHrWOUwaMRiOPPvooc+fOZc6cOfztb39zapOWlsY333zD9OnTi+26p0+fZu3atdx77732Y7Gxsezbt482bdoQEhICQIcOHQgNDWXjxo0cPHiQZs2aOYwzZcoUfvrpJw4ePOj2HGw/GMjIyKBChQr885//5Pfff2fJkiWAdc+Nn376iQMHDtiDMLCWqSwOrp7BgQMH2LlzJ82aNaNTp06A+8+gb9++VKlShdWrV5OamurwA5AFCxYUy9xFRP7MSipIc6W4Vqvl5hQ6zllIiG3/sWIM7cD1nmUO13BxPVehaFHCP5fXKsS2Oi2IiTpkH9cWFgb6eZOankXHRtU4kJzGwi0JZOWYScvIJun8de5lfAOr7Lw9jUx+qBVxJy6weFsSOSbrnz+H4QEfLyMjuja+9iwSEuCnn2DqO9dSP0/g/7N35/FRFfb+/1/nnJlJCAQI+xJCCPuOBCFAURBEQVyKrYpUwbairdUq/dr60yqgFe/33m9vrb16LbhWEawCYkGUqqioDEsCCAgkIZCFTQgJW5ZZzvn9cTJrZpJJMgkT+DwfjzHJzNnmnJFJ8s7n85k5Hsb3hQ6lMPgWcwPr5pvVY6rFrKJzVcAVd8Oouebju5b7vtc13LDukapcK0zFmSew8zzv42GCzWrVblHgHxiKi+r666/H7XZz+PBhVq5cyS9+8Qtef/11li9f7u3iUV5eDphtNUOx2WyAr9tFXZcPZd68ecybNy9q872FEEII0bxIaCeEEJe66/8DCuzmbLu6/DWvaoG2Keb6F9HixYv5/PPP+cMf/kBZWRmzZs2iR48elJeXs2XLFp544gkGDx7MXXfdFbV9Dho0iAULFtCiRQvS09PZu3cvd911Fy1atKj2V6//+Mc/uPrqq5kxYwYvvfQSY8aM4dy5cyxZsoSlS5fy4Ycfoqp1nw0yatQoVq9ezaeffkpGRgZvvvmmt7oN4M477+Rvf/sbf/jDH3jllVdo2bIlS5YsQdcjaIcUgZSUFObPn89LL73EqFGj2LdvH3PmzMFms7F06dKAXyLU5RwkJiby0ksvMXv2bH7605/y8ssv06NHDz777DNeeOGFsH/FLIQQIjKNEaSF05BqtXCqhY4pQ32hXRTU2jp00SLf536hnWe9I6Xl1ULRhsynC3c87wy7jqem/gr3JwdQVYX0lLZsP1wSLoJqOE+AVEtI4PmOxmJRubpfRzolxjFzZLJ57IVbecCSyWb3IHJtA1m6KY/hZDNO20erAZO4MmMy6Ye/g5c+gjUr4cDB6jtwAau/NW+tFBi0HgZboIdmHpvu9AVpRzJh+yvm96uF24OeTy1nyvN8/YM7cVlSVZW0tDQeffRR4uPjeeihh/jtb3/rbfvu6W7hdDpDru+Zve3pqlHX5YUQQgghgimGIX/eVV+eX1jKKRRCRNO+ffsYOHBgdDd6/gdzZkZpYWQVd1qc+QuQez6CVp2ieyz1UFxczF/+8hc++ugjcnNzKSsro3Xr1gwaNIjbbruN+++/3/tXqwBvvPEG99xzT8A25syZwxtvvEFqair5+fkBjx06dMg7X0JRFK6++mqWLl3K7373OzZt2kRlZSUZGRn8x3/8B6NHV5+RcvToUZ555hnWrVvHiRMn6NSpE2PGjOGxxx5j1KhR3uUmTpzIl19+GbDu1VdfzRdffFFtm+fOneP+++/nk08+wel0MmHCBJYsWUK3bt28yyxbtoxnnnmGvLw8kpOTeeihhxgxYgSTJk3yLrNt2zY6dOhAr169qu3j9ddfZ+7cuSGP7+qrr+Y///M/efzxx9m2bRtOp5MxY8awePFixo4dW+9z4PHRRx+xaNEidu3aRUJCgnd/1157rff63Hfffbz88svV1vUXyf8v8n4dG+Q6CNF0mmqmXWPs21PJ5gkdl7023xfaNfDfj4hah/oHOFX781/PoqlgGLh1wzy+BrQfzcwvYdZSc7uaqjC+d3sKTpcx4ot/8eHgieiK2jSBku5GNaD/D4dxDhtGu5Y2jpSWc6Sqak8BerZPYN5VvcO3+SzcGjifrVUXKrBgOV6AlutCyXFBng4VNYRpViB0zgGJCgyywiC/AC8aoh7aRdAo1G2Yi+nAFbfDwc+h7FT15XqOh9bd4fDXkNAe4hOhtAjOFpmhpKJBh76Q0M48/7rLvC9ljLncmYLA7SV2A80CrkqIbwv9p0FxLpzKgZbtoWN/iGsDhzehzNsIXH7v2WVlZbRs2RJFUTh37hwtW7ZkypQpfPbZZ3zwwQfcfPPN1dZp0aIFFRUV3hnbbrebhIQEHA4HpaWl1Vpk2u12xo4dy5AhQ2qdayffOwkhhBDNQ7TfsyW0awD5BkoI0RgaJbQDqDwPHz8Gu98DRQVniJYs1gTzlwBDf2pW2MW1iv5xxDhPaBcqSBOxR0K75kOugxCXvmjN0wsI/lLb+R5o4L8fL27M5c8bDqAboCkwf2p/Hgien1b1b1VmtwHY3/4XGWntsecVB6x3x+gUurVtUa9ZeKuyijCAId3a8No3h8j94Xz1BSOsemsIFZgyqDMT+3ei5OH/Q1LZWZ6eMg+HLQ6LqjCxfydKs7/mSr4nUxnMo7+8u3pIt2s5nNwPxXlw4RQYLtANOOqGHJd5O1ZDSKeBkapBHwtKXwtGWxUl3wXfu2CfC8rCXG9PgDfYAsn1DPA8YZ1hQGIXSL7SF165KuFIFmCY3zP3nw7njsHRnVVhmQpDboXTB8ES7wvMNBtM+09zdl7W22ZVIEC3dDixG9xO0KzwwRlIUOCwGwpdvvP56QLzGDr0hSmLzDagoRRuhcObIHWCb5lw93lm+g2fFX57IVzO79mdOnXi5MmT7Nq1i2HDhvHII4/w/PPP85e//IWHH344YNnjx4/TtWtXunbtytGjR733X3HFFezcuZMdO3YwYsSIgHVWrFjBrFmzmDVrFu+8806Nx3I5XwchhBCiOYn2e7a0xxRCiMtFXCu4+X/gusWwawXYX4Jzx8FdAVq8+QuLjF/D8Dsu2gw7IYQQQjRf0ZqnV5/5b5GItHVoZrcBzL7jWRwbDmCzqDw1Y3DAet52kGH4h44Hjp9j/Z5jHC8tJ+fkhag/p2AKMKBLInmnLlDp8gVmPdslcHfcRia57RzuPIU2P7rXfA7b34DB6/ghsS0DE57hXfckVrgn027/O7xkfR1V0QEN9WQb6DkX/r0AdrwdWBlWpsPBqqAu1wXlNfyyoo0CfS3mLdUCViVwvFya1bxNN8xQa68T9gcFeOcM2OIwb639ArzuoQI8xewaoWhQVhzYccLzS5WJj/tm44EZdr15E7gdZhA3/rdm4BUqGPMsH3z/8Dt99yVfCdvXweZ1UNYWskK0nu8xGu5ZH/68BS8bHMBFep/gT3/6E1lZWaxataraYw6Hg9OnTwPQurX589D06dN5/vnnsdvt1ZbfvHmzdxl/06dPZ+fOndjt9mqhXbh1hBBCCCE8pNKuAeSvnoQQjaHRKu1ERKTSrnmRSrvmQ66DuJxdrHaVTb3faq0tG9A60itEu8qGqO2cZHYfyPPjZ/FN6gh0VfNW5Hkq7vyDuGlDunLnmBQy80v4+5cHOXG2AgXYWXSmYQfpXwUWoopspJJNhroPuz6QLKMfYIZ1s8akcGtVoJiZX8KsJZsZoh9gnGUfvY0ibtGqZsEpoMz4qzkbbvc/wTAw8O0nz92FVO04KkG7b5cGp/PM4zqu+0K6Inf4jpAqkGJW09HXAh1rafkZ6jnrfgHevhpCwc5toHeF2UIz2Qbpd5vhWaiAbdET0EU1t5fpqL6tcAFdTU6fhpwcyM4OvOXkwIUwgW2Mvideyu/ZCxcu5MUXXyQnJ4e2bdsGPOZpsT9o0CD27t0LgK7rjBgxgry8PPLy8ujUyTc64MYbb+Sjjz5ix44dDBs2zHt/YWEh/fr1Y9iwYdjtdu/5vHDhAn369MFisZCTk0N8fHyNx3opXwchhBDiUiLtMWOIfAMlhGgMEtpdHKHmzS1YsICFCxdenAMSEZHQrvmQ6yAuV9FqGdmc9hvVoDDKoV1NMvNLmP3CRio1C4aioqqK99wdOH6Od7cV4HDp7Dt+zrtO19ZxHDsbwbzgOjBDue+x64PIMvp5Q7rTRiuGqIf5qfYlVkXHgYWHbIsgeTT3Xd2bdDXHbFl5/gSUl1Jx6jC2C0dRMLyhmqKYn4aLzQzvf4Kys0oDDrp8Qd35Gq5FK8UX0qVZID58SGf4faJgmHPeug8zK9zi2sChL6que9WSbgPygeMpsLUQzpwNveEeXWHWXXDbbTByZPUgsL6vq7IyyM2tHsxlZ0NxceTbqc++m9Cl/J69aNEiFi5cyPjx43nuuecYMWIE58+f54MPPuAPf/gDuq7zySefMH78eO86O3bs4KqrriI9PZ1XX32Vjh078te//pWnnnqKp59+mieffLLafpYuXcq8efN48MEHWbhwIeXl5Tz44IOsXbuW9evXM3ny5FqP9VK+DkIIIcSlREK7GCLfQAkhGoOEdkJETkK75kOug7hcRTRHrQb1DcEaut+Y0QShneccHyktZ/nmQxiqBrqbLm0T6Nc5ke35JZQ53I2y72AjlWyW2RZjxYXbUPmm/x+YmPdnFHcl/uVsiue/A6ZDeQkc+w4cIebjVfEvYAsZ2gVXuBkGnNJ9s+kK3GagFk6y5mt7OXggdOoHx78zZyqXn66+vCUOOvSDtj3Nr1ethgs6fOfyzXkDX8Vbi/ZwfJd59J7qOYcDPv8c/vlPWL0aSktDH1tamhne3XYbjBhhPs+aXldOJxw+HDqYKyqq4STUoG1b6N8f+vWDt94Kv+8YcSm/Z5eXl/Phhx+yYsUKtm/fzokTJ9A0jR49ejB58mQeffRR0tLSqq23f/9+/vjHP7Jx40bKy8sZPHgw8+fPZ9asWWH3tX79ehYvXsyOHTuwWCyMGzeOp59+mlGjRkV0rJfydRBCCCEuJRLaxRD5BkoI0RgktBMichLaNR9yHcTlqiEtIxtSLdcorSovhghDu+BwMzO/hFVZRRgQ0DLSc9+Qbm3Ye/QMP5yr5Mvskzir5r8F/BtVUxvHWoRqYRnKVX070KNdAl9kn+RISTm/1tbwO8s/0RQDQwclsSNcOFnv44iI5zk7q9pQeoK6MzX8e91CgQEt4apRMHkSlOyAYzugz7Vw69LAZQu3mhWAO94G3W1W0c35MLDtZEPDWYcDPv3UDPA++ADOhGlR2qePGd4tXuy773//19fGMjsb8vLA5Qq9fk1atIC+fc1grl+/wM/bt/c9xyasHq0vec+ODXIdhBBCiOZBQrsYIt9ACSEag4R2QkROQrvmQ66DuJxdrGq5izVLL6oiCDg8AWWlU0dVIL1nElmFpbjc5vI2TWHhTUNY+K+9OFw1lYsRdo5cXfhXyzmxMNvxuLfN5e8tK+itHOGg0Z2z459g6uAu8M856OeO4dIVXIZKC9UMjBQafixhlRtQ7IZi3bwVus1bTQWFXatm0/W3wS+fhzE/r9s+a5oTF80gq7IS/v1vX4B37lzt60RK08zKvVDBXPfuoKq1b0NCOxEhuQ5CCCFE8xDt92xLVLYihBAiqgzD8P6DL4QITX6BIYSIJTUFZOk9k+oVmmWktcdmUb3Vchlp7eu0fn33G+uCz/XKrCIqnGYY5zZg6+GSgOUdboMlXx2sPbADvx6S9Q/MMtR9WHFhUXQUw8k8bS2KAlPV7VX7gA7sR7HfBXbzLhWwqgZWdDxZnWEoYWfPRcRpwGndF8z538ojeA9t3RqmToXp06HtYfjub2C4QdHAUVLr6tX0GF09rGsMcXEwY4Z5q6iADRvMAG/NGjgfvoVogOTk0MFcr15gtTbu8QshhBBCiMuahHZCCBFjNE3D6XRis9ku9qEIEdOcTieapl3swxBCXAZqq1hrSBvLmqT3TGLZLzNio1pu4cLQnzcx/3Nt0VSu7teRz/efqHW9w8VlNT6u4D8xzie4zWULq8qVqe345mAxw40DZGj7sLvNiu+Z2iZat7Cyz0hFdyoYBqgYXGfZ7t14TTmgEvSJGdyZX4ddTTegNKhqznM7W48/bhk82Azppk+H8eN9AVXhVtj7d3A7zPaWqRPqvu2LIT4ebrrJvJWXwyefmAHe8uW+Ze6+2xfK9etnttBs2fLiHbMQQgghhLisSXvMBpBWBUKIxnDs2DGsVisdOnS42IciREw7deoUTqeTrl271ricvF/HBrkOormKJJBraBvLplTvlplN0NIv5LEF7df/XEeiS+s4TpytDBnIeSiApppVeoZuMFLNIUP9ntNGIgusb2HFhRuVL/QRjO2m0tp9hgtulRYl2YCBy1BQcaNVbUxRNAzD7d12cNFeVQ4XVvXTa6CcM3xhnKd6rlSDU5UQQQFhNf7z195/v6ad+9TU3rKhmrpl5MVsUSntMUWE5DoIIYQQzYO0xxRCiEtcu3btKCgoAKB169ZYrVZplSlEFcMwcDqdnD17lpKSElJSUi72IQkhLnH2vGIcLh3dAKdLx55XXC3samgby6YSUKWmKvx0VA9mjkyOiRaa72wp4I8f7EY3zECrW9t4Bndrw33dBgBgTxlKRn4JSQm2iAM7gFtGdOeVrw/hqmElA7hN+Yy57XZzdP95xnU/gAVf6KYooKEzVdsOVUV9/nVYVk9lnHeD7oBQzlMxpwQvF8ypQglwvBLllBujWEc5rWMU6+AMtYIr7HPy7ihJhf79Ycx1gdVk/vPXIv0+s6naW0bgkpjXKIQQQgghRAhSadcA8ldPQojGUllZyenTpzl37hxut/tiH44QMUXTNBITE2nXrh1xcXG1Li/v17FBroNorjxBlyeQC9f6MpZDBM+xHSktZ8XWAm/opQBx1gjbeTZidVBmfgk/ffnbkGGc4naBomIANqvGxP6d2PC9rx1mcPtKz9enjVa0U86TduX1OLqO4qk1e3BX7cB/NyOVbH6vrWCMtj+gR6a3NSV476/r31AZwTvzjMurNFA73gCHjsK+/XC+DZx0w6FD9Tu33bsHBnJJwK7F0NoNtjiY82HNYVssVH7V4Rii0o5WKu1qJO/ZsUGugxBCCNE8SKWdEEJcBuLi4ujatWutbf+EEEII0bginSuX3jMp5sI6qD4DzqIqON0GBmaeFK56MNJtRyOotOcVh62eM9Sq2aWKgsNt8Ok+X2CXrmbzju05LIYDHZWlrmncY9mAFScaBjoKyq6VqC1/w9VjrWx2DyLXNpCXv8oDzMBuue1P2BSXGcoRlLEFtbSEoIxFAUVRzU+M4D+yUlAq4IKrLyU/xKGVaBj7DtDm5Flani0HVvgt+0PtJykpCXp1h45xMOxKuPIas71lnz7QqlX15Qt/1HitLC+ySKpfhRBCCCGEaK4ktBNCCCGEEEKIGsRqIBcJ/4DD7da5Y3QKBvB+ZhFud/3aeWbml7Aqq4j3thfi0o2IWm16Ar5z5U72HjvLtCHmHyat33OM9i1tNe/QLz3zD/fGKPuwGA40xUDFzX3WdSiGgVpVJacpBhgu+OZ5uqPyE0tV1RlpbPv6Yx7SVmLBZRbA+VXW6QZofqV1nl26DfPzI3oHjtGBlsmDGTr9fjhdCuuXQk4+/OCAE07IK4Lis7Rke0ArzRqpqhnCZWf77vv2W7N6rn0dW67GUCvLaGsu7WiFEEIIIYSoD2mP2QDSqkAIIYSIffJ+HRvkOghxcYRr71nnKrmq/4czuw1g9s//m0qnTvD/zTZNYeFNQygpc3Cu3MnmvGI6t45nYv9OLPzXXhwuPaJjHqlkM7lFNtuVwWw8nwqK4m172VopY6BymPXu0Vyp7mem9o338PSgFpbVulkqGlzzBKROQH/jRnBXoniehQE6Cq86rmfqlm9JHV8KmmcLKseG3Mv+g+f5areC8YObfqeLuNFSSmJeNpw8GdHz8nCoFtx9+tBi+FAYOBAGDTJv/fpBXFzTt0+MhXaNdTyGBld5SnvMGsl7dmyQ6yCEEEI0D9F+z5bQrgHkGyghhBAi9sn7dWyQ6yCiKZJf2EejdWMsz6mri6g8j6r/h1/M+Cl/njgnbDvL4BaTwff5z6ADAubRAczSPuNZ6xuo6OiqlSfLZjPB8h1TtB1m5ZxfyOZ/aP7z50KPnlPAEm9W2h3eBJ8/a7a0VFTodgU/tBrAVy2m0OvXj5N+7ABcaYUkzZw1d0qHUhucK6/DCcMM4AYM8IZyBzumYI/vzIDxV5Dep1P49SS0u/T2Fyv7jpC8Z8cGuQ5CCCFE8yChXQyRb6CEEEKI2Cfv17FBroOIFv8ZbTa/yrG6LhON/VwO3tlSwLvbChiSuYJ0Ww6bjCF80P4aMMBqUemYGMeRksjCLM8MOSsuXGgYKFhwe+fRXZl4mvSKb1H91tF1X8YRasacgpl7GIAOWEIldooK6XNg8G1g6QGZG2DF76DUAecUaDcOii9AUREUFtb5HJGQEFgx57n16gWaVvftXU4B1sU6BgntaiTv2bFBroMQQgjRPET7PVtm2gkhhBBCCCGaXH2rv/xntDldOva84mrrR7JMNPbTZBYuDP15CJ7zmpRgo6TMEfH5DXU9Hl6xgw92HmWkks0fU97FiotpZJHvSCaLfvx8XCpnK128s6UgYFv+1XRZRj/v11epu7DhQlHAargxAFUB1XDzK8taqKh+XKoS1POyihL0xYGkqfTP3wilFXBWN29nDDingzMJlrwHx/9mpoDVfFrr+QEgMbF6MDdoEKSkmPPohBBCCCGEEKKBJLQTQgghhBBCNKmGVLFlpLXHZlG9M9oy0trXa5kG7acOIVpULFoU0f4859Uzb04B4qy1n1//9TRV4Zc/6kXeqQts+P4EYLawtOLCouhgOHnS8hZ7jVS+OzCN22f+hOVbCgLaXy6zLcaKE6Oqgu4eywbiFCeK/1+eKr62mZ72liHbWioKuAyMMwacM1DOGnDWXRXMARXxKOcUBp5+v4YTWLeZc17z5pmhnKeKrnv3kAGiEEIIIYQQQkSLtMdsAGlVIIQQQsQ+eb+ODXIdmofaqt+iNePtxY25/HnDAXQDNAXmT+3PA5P6RO04o3WsYbcRo638/M+rh6rA76rOb7gqvPc/WEXeto8DZsv5u0P9jGesb6DhDgjW3IqCpftIPrJcy1c5J5mmbSXOcDLash8VM5AzUFEABV+QGI73qTkMlFwX7HdiHHKjXIjiOe7cGXr0gOTk0Lc+fq9DaRXZdC6n5xwL57sW8p4dG+Q6CCGEEM2DtMcUQgghhBBCRF1t1W/RnPEWroot0qAtvWdSrfuOZJnaRGMbTSkpwVbtPlVRyEhrH3D9PKGepsCD/Ur4Vf4jaBYXTizMdjwe0NKyt1LELdq3qPh+APVkDhoGHMlkOplM89u14vdRwQBVA90wPw/BALigY2S7ObMvjraHzoJLD9hWrVQVunb1hW/Ws8BRGDoBrppt3tetG9iqn6NoiVaoLYQQQgghhLh8NevQbu7cubz55pu1Lhcq4fz444957rnnyMrKwmKxMH78eBYtWkR6enpjHKoQQgghhBAxrbYZbvWZ8RYuxEjvmcSyX2YEPBZJKBjrocjFOr7M/BJWZhXxfmZRQJUdQPe2Lfj7lwc5cbYiILADcBvQ4eAqrJoDVcHb+vKEkcRkLQsLvvlv3haWCt6KOf9ALXS4poAlHq7/Dzi+E7LeBt1p3p82CY6dgO9KUXYWY+w7iWoYJFFebStOVeOHlu040aYDqcP7065/mi+c81TNdekClov34200Q20hhBBCCCHE5atZh3YA7du3p0OHDiEfKygoICUlpdr9r732Gr/4xS948MEHWb16NWVlZTz00EOMGzeOTz75hIkTJzbyUQshhBBCCBFbapsDl5HWHouq4HQbaKpS65y42kKM4Cq22kLBaIUi9QnWIm3HGc3QJmCfQGa3AdhThpKRXxLyvHjm2AXLP11G/ukywGxzOc2ylfXu0WQbPZipbeJ2baM5W84wK+dGqAe9w+b8gzqo+mgY3vYv4SmgWeGKn8HwWdBjNJn5JRxyXcWEY1/SOd8F/7MNtm3zXyPQ8OHw4x/DwoV817kP9p7DyFjxd9rFSBAW/JqoT6gt/CxYcLGPQAghhBBCiJjQ7EO73/zmNywMMYz9/PnzdO/enV/96lcB9xcVFfHAAw8wevRo/vrXv6IoCu3ateOtt96id+/e3H333eTk5BAXF9dEz0AIIYQQQoiLL1T1WzWKX5pTi7qGGLWFhtEIReoTrIVcJwrPty77fGrYdTw9ZR4OzYLtFTtPzRjM3qNnMIBT5yqpcPoq4jxtLT3z6UYq2czT1jJIOUwP9RQAV6m70QG1ah1POOf5HMAIGrvlC/ACr70BuNE4OfReupZlQ5dhEN8aUidAj9FgGHy/7gu2Pvcykw9spvOpgtBPWlFg7FiYOdMM69LSzPsXLiT92AHSjx2Anv+s1/mMtmrXZ8ZgjpaWY1EV3LoR8vVb07ZiuXq0yYT4mV4IIYQQQojLUbMO7caMGUPHjh1DPvbWW2/hcrmYM2dOwP0vv/wyFRUV3HPPPQE/cLZs2ZLbb7+dF154gffff5/Zs2c36rELIYQQQggRa2qa4bYqqwiny6zmcruUHg6xAAAgAElEQVQbHsKF2ndNoWFdtxdKfYK1kOuEWK4hx1dT1dZg934s4zQGWQ+RxQAqnDqPr94dsL4nqDtttGKR9U2suAA4q8fTWq0IbGNZFb6phA7rvMv5fWKAmdViVPXGNB8tb9OHD0pSed/1I/buHMCyXz5mnk+3G775Bv77EVi9mkH5+QwK9cQtFrjmGjOku/lmcyZdM+B/fRwunafW7EE3DCyayu2je3DryOSIAjhpqSmEEEIIIYQI1qxDu+AqOn//+7//y6xZs2jbtm3A/evWrQNg7Nix1dYZO3YsL7zwAuvWrZPQTgghhBBCiCqZ+SW8t73Q235RVRWOlJaTGdSq0V9ElXsh1vHMt3txY27AevXZXrC6tvj0rBNJGFfX4/MEdUkJNp5euzegamtnYSm6YYZxb1sXY+3k5Ea2ssh5F0PUwwC0oIKx6veU63GkaifMQA0FBcMbxrVRKwC/6rlQAV0tRZOKoqHc8N/wyH0Qp8BYG1hU0OJY1+sJnvghDt2AFs5Kji5fRcquL2n58ToSSk+H3F65JY6KydeS9LPb4YYbIKn5hVT+rwlFMavrPGF297YtIn5tSktNIYQQQgghRLBmHdqFs2nTJnbv3s0bb7wRcL/b7eb7778HIDU1tdp6nvt2795d7TEhhBBCCCEuV/a8Yly6mfgogNttsHxLAe9vL2T5vLE1BnfRbGFZn+1VU4cWn559Bodx3vlyBbsDqu4iOb53thTw7rYCvj92FrduoPqFPpVOnSfX7MFdda4z1H1YcWFRDDTDwWLrq9UzNs33tAxPKkfg0/O7u5qwZyEpDXpfDcPvNNtcfn2Pef8BF7zzf9kfP5y9OYnMOPABUw5s5prcrbRylIfeVtu2FF9zHVuGX8W5qydzStfMc9kMAzsIfE14Qtf6VFhGo3pUCCGEEEIIcWm5JEO7F198kTFjxjBy5MiA+0tKSnA4HCiKQps2baqt56nKO3HiRJMcpxBCCCGEEM2Bf7gA4K4KgRxug79/eZDhPdpGbSbXqqwiKp1mG85oVx/Z84pxuSNv8enhH8Zl5pcw+45nzflybhfLaqg2DFC4lZ2b1vL+7iR2Gf28d+uGETiHTjfn0M3UNtGBM4BfhRyBVXPVWlpWVdj5P+adRxfqmHqOh6G3Qe4GKD4ICe2g4wAYPssM6kIpcnPYHsfRpX/ksbws4tzOkIv90DKJ3aMm0uOXP6Pf7TfS3mqlc34J8y+RdpD+r4n+XRLrVQEajepR0QwtWHCxj0AIIYQQQsSwSy60O378OKtWreKVV16p9lh5ufmXn1arNeS6NpsNgLKyshr3sWTJEpYsWdLAIxVCCCGEECK8zPwSVmUVYUDEM7Iai3+4sKuwlA3f+/7I7dN9J/j39yewakqNVXeRCG7DqWnRrT6K2lw8zYKuajgNo1rw986WAtbvOcbgrq1JbGE1wxg1B968iaGuSpbZLCxy3kU75TynjVbcon3DaHW/t+LthN6GDuoZTwGdV6jCwODgzjNuLiC4qwrsqq2uWmDKQjOcGzU3/BM2DKjqVuKR+vsHSQ2xaGVKKm93S2d9nwwyu/UHRSXugMqyo+erzeq7lNpBNqQCNCrVo6J5WbjwYh+BEEIIIYSIYRc9tEtNTSU/Pz/i5WfPns3bb78d9vGlS5fSunVrbrvttmqPtWjRAgCnM/RfgzocDgASEhJqPIZ58+Yxb948lAhb6gghhBBCCFEXmfklzFpqViQBtbahbAr+8+a+yD5pVt0poPtV3a3MKmrQMQa34fxJev3DSs/MuIbMxQu1jYy09tjcLpyGgWbo7CosZd4/ttMhMY7WcRZe/ioPgE05pxipZFNp3U9iT50+rgo0DOJw8Cfr6ygYqAS2szQM6Kye8X4NoSvqgtdBqarCo6qizm95RbX4UjxVBV0HdPPrw5uqV9QZBhw8SP57/8Lx789I3b0N66kfwp6j/Z16cWTidXS9ZzaDrhvPiIJSvvg0G3JOVauWlHaQImZItZsQQgghhIhRFz20mzNnDsXFxREvP3p0mDYtmDPrlixZws9//nPi4+OrPZ6UlITNZsPhcHDmzJlqLTJLS0sB6Ny5c8THI4QQQgghRLTZ84q9rSgBnO7qFV0XS3rPJJbfm8GqrCKWby0IaLvY0D9pS0qwoVYlUTaryq0jk0Mv6F+pEqJqJRpz8cJtI71nEstWPMHKIdfw7rCpAVWHgLfVZSsucK9lPSo6FICC4a1409C9gZt/IOcf1PnfFy64M6oWUGytwHEeMFAUFcY9BANuMEO51Anmwoc3QYv28PFj4HaAZvM9VlAAn38OGzeaH4uK6FnTyRk3jqKJ17EieRRLjii43Dq2b86xbGAp6T2TeHhKP7YdPl0tnJN2kDHqcgywpNpNCCGEEELEqIse2i1atChq2/rwww85evQo999/f8jHNU1j0KBB7Ny5k0OHDjFixIiAxw8fPgzA0KFDo3ZMQgghhBBC1FVGWnusFtVbaWfVlJiqSvK0OvQPlzRVYWa4kK0WmfklrMwq4v3MInTDQFUVnpoxOHyo4/8zRIhfvge3YVyVVeQNijyP1xYarQyarXdox0bSCw6xP3449pShnEpoy3BLnncWXT+lkF9pa+ihngoIL73VcASGctVaW/p97b+O/+Pmg1VfKxrqqDm++XOFW30hnad6zr+KzvN550GQuQ6KLPD0Uth4Jxw8GPY8AFS0bkv82VLfHd98QzLQYmMuroID1dpd1hTOSTvIGCQBlhBCCCGEEDHjood20fTiiy9y3XXXkZaWFnaZ6dOns3PnTux2e7XQbvPmzd5lhBBCCCGEqK9QbRXrwr+aLRZm2oWSlGALqLK790e9Iq5g8w/QVmUV8d72QpxuA18uZVBS5qjT8fhv178No6apvLe9EJduYNFUMAxculGtAs/fO1sKWL7FV0WYruVwy3fP4dYd9DQsFE78GTO1zVyrZQW0uPTwr47zD+M8n4cL6/yDOh0oNVpRTBva5RTToeV5cALTboFWHVGG31k9lAtudelRXAxffmlW0X3+OezbV+O5dCcm8lWXgXzTYxjb04bz5OOzSE/rUG25mtpdSjgnhBBCCCGEEHWnGEbw33A2TwcOHGDgwIF8+OGHzJgxI+xyhYWF9OvXj2HDhmG3271z6S5cuECfPn2wWCzk5OSEbK8ZzLPuJXIKhRBCiEuSvF/HhsvpOtTUmvFS8uLGXP7fJwcwABX43XX9eWBSn2rLBYd0nnNjUc30yunSq7XYjLOGP2+Z+SXY77iPjILdpB/dD4YRcM5VReHpm4fQv0si9rxijpSWs2JrAbrha99pAJoC86f6jtlznEkJNv64ejcjqtpc2vWB/Miyn9+q76IphneGn2dboSrpPEK1tQwV4hkGGAq4FBvnXDa2GQN4lRvpmz7ZDGxT2wVuoDZnz8JXX/laXu7aVfN6LVrAhAkwaRJccw2MHEnmkXOBwXNw0liloQF1sGrbC7PfRtPU+4vVYxCXtcvpPTuWyXUQQgghmodov2dfMpV2L730Ej179qy1Sq5Hjx688MILzJs3j9/+9rcsXLiQ8vJyHnzwQYqLi1m/fn1EgZ0QQgghhBDBMvNLeP7T7IDWjI01iy7aYUldZaS1J84ausrKPwB7eu1eb4A5c2Sy79y4DcCoVqdWU2tMbzg34WfY3C6WrXiCdALbYeqGwVNr9vDufWN5YFIfMvNLWJVV5K2603Udd9W4wKQEGxRu5cjODfzX1kScbp0x6j7+j3aBeZaPUDEDRd1QUDHMkK3qWELNovMIO4PO8PuomDdzLh2o4x/Gdu0iDueXcDCvmMfqcl0vXIBvvvHNpMvMBLc7/PI2G4wdawZ0kybB6NEQFxewSHClXGa3AdhThpphaQ3LNUTIwDsqW25mLscZc0IIIYQQQgjgEgntysrKePPNN3nsscdQVbXW5e+9916Sk5NZvHgxKSkpWCwWxo0bx7fffsuoUaOa4IiFEEIIIcSlxhM4eOagqQrVwqxo76uu1XzBVW/1Cf38txFqbllw1ZtuGN4AUwFf28qqSju3Wzc/6r5EK1xrTG84p2o4DQN7ylDSMQNEz74AdN0ImK/21IzBrN9zjPYtbXy46ygG4DZgz4fP47a+Tld0lqlgqGbVYHAVnaoY3q89aqqi86++8+RznnAuv20GLTun0TExHuJaw/HvYODNMGouEGEIVlkJdruvks5uB6cz7OIuRWV39/50uXkaXX88HcaNM6vrIpSZX8LsO57FoVnMsDS/pFGC4uBZhPa84ssztJMZc0IIIYQQQly2LonQLiEhgdLS0toX9DNt2jSmTZvWSEckhBBCCCEuN57AwdMucnyfDjw8pV/ThRu17Mc/TAue7fbUjMGUlDlqDfBChYXBLTH9jw3DQFUVFAysVZV2M0cmVwsOPRV5nmq4I6XlZIYIhrwz1CocaIbO0dYdvcs9ffMQnlqzB103sFl9YWlmfglPr93rDVNHKtlkaPvorRQxU/sGPC0qq/YRPIcuVMVc8P3e5f2240n+vAEgCsx4ntSqcK6mc1xjmDplillVV1ERfiOKAldcwY4+V/A3I5kt3QdTEZ8Q0A60Lux5xTg0iy8sbaTq0Zpm5AkhhBBCCCHE5eCSCO2EEEIIIYS42IIDh8YK7ELtK5JwIzjoAzNgcjh1M+wyDG8Q51k+ODiKJCwMPrZQgaD/Op7P+3dJZFVWEe9tL2TF1gJWZRUFVBBm5pewMquIq/p2xFi9mi97j2L58OtY+YqdZb/M4M4xKd45dp7z8cTq3WzJK2aQaz8zLZsYQS4DtQIMDLSq/dcWznmEGk/grairCusU1QI9RoOrElInwJa/g7sSFBWm/9lbTVfN2bNQUEDOtr38671NdC45wdFzp+iXUEHiiaOBy372WehtDBnCD6PGsT1tBN1uvp4Rw3qh55fw7Sv2aq+TurZWzUhrj83twmkYWHV3vcO02vab3jMpZPWmEEIIIYQQQlwuFEMm2tabDAUWQgghYp+8X8eGy+U6NOWcuXe2FLB+zzGmDenKnWNSIjq22VUBjlZVaefWDRS/FpaaAneMTmFlVlHI1pv+27DW0JazvufhxY25/HnDAfSq2XF3jknh2R8PJTO/hFlLNuNwm68fTXejA4aqoSkwf2p/MtLac2jHRq4q/5TSMiev5yXyS3UtycoprIob/0wuuJouUjrgxEqlSyVRq/TeX9z7Fjr0GmYGdT1G+1Yo3Aq5X0CLAeBqR17WPk7szqZ3xWk6lZyAggLzduZM3Q4EoG9fcybdNdfAxIlklltDtkwNvhb1bq3afaBvpt2RfXU+3Prut1pJY2Pzb00pbSrFZepyec+OdXIdhBBCiOYh2u/ZUmknhBBCCCFElEQ0jywKPC0fHS6dbYdP079LYq37Da5iguqtKa0W1ay+C1NNF2klVE3noaZALyOtPRZN9bYZfW97obedptPt+wFIVxQ0Xcdwu7DG20hKsPF/l/6DFdpTKEBHYHHQTzq1zaPzv9//o28DoKoW4u75iLiUMRye1ANloAWm/Jqefa4zw7e1mVCwGvLzfYHckSOgm5WNaVW3BvnHP2DSJEhODrjbvjE35HULvhb1aa0KkH50P+lH9wP1C2Xru98mJ0GdEEIIIYQQ4iKS0E4IIYQQQohmJiAAcbqxL/0n6X+6r9b1ggMc/9aU/mHeqqyisK03GxJM1lZtld4ziZ+kJ7N8SwEG4NYN73FZNcVbaWd1u/j5tjUcGJ7KHfGbGL4uh9vVMyj4wjj/YC74Dx5rCvA8y+pVbS9LlSSscS1ITL0CRv0avjsJQOrGQtgIvPQo8Gi9zoeHHhfPmY5d0VJTcHRLJq9FezoN7kvqyIGQkgL9+vkWvuuukNuItGVqqOXqEsJldhtQr4q5pp5X15RVr0IIIYQQQggRLRLaCSGEEEII0cx4A5AKhzlj7K3nIYLQLpzgIC6iuWL1aCPoHzZWOnVWZhVV2/6tI5OrhYbpPZNYPm8sK7OKUIDBCx/lu+kDeNX2F8J1uKzLjDrPp4oCbgP+7R7Fd0ZvtjGIPZUpTNq7k2e2HqD9fTeY8+fqqnNnLnTpzteVLShK7MCJtp25/dbx9E4fxC6lNbevzsXh9s0UHF2PkKkuVZDBFZd1CeHsKUPrV6nXhPPq6t2KUwghhBBCCCEuMgnthBBCCCGEiDG1VQl5A5A77jNnjFW1LYyWiKrpFi3yfR5haJeR1h6LalbMGcD7mUXcOjK5WrVdqHDH8/HM10sZMGMfd1g2B1TW1SRcxd0W9wB20od72uwg7sJRszUoVt6snEpS7hnuOrCaaw5uo5WjPPzG4+PNajjPrWfPwK+TkyE+npZAh/wScvOKuS6tPb2rns/XG83ALhptIyOtgvRf7sUwbTXDySjYXe+KuaZqH9tsWnEKIYQQQgghRBAJ7YQQQgghRMy7lFvdBT+3SKuE0nsmkW5/7yIccf2l90zip6N68I6n/aU7dKCSruaQbtkEJ9tDQTF532cSd2IHqiOeSVqe96eYSAI7CGyBWW5YOGD05F33RFbok9EUcI9axANdi1BWvMqZz/N4dcsCEpyVoTfWqxccOuT7uqws4gMJFVo1ddvIYHXdf/rR/U1WMVdfDTmnl/K/NUIIIYQQQojYpxhG8N+bikgpVT+cyykUQgghYpe8X8eGhlyHzPwSZi3ZjNNtYNUUls8be1F/mR7NX+qHCujsecX8ecMBdAM0BeZP7c8Dk/qE3kCoYWxNpZ779jxnp0vnSksufxu0n46J8ezvfANHs7PI+OFd4s8cBAwUA9wKaDXMpAsn1CG5FY1X+rxI677jeXrtXuLOn+PaQ9t5ovx7kr76DCoqQm6roldv4u+4je/HT2Vji+5k3HWTr7oxCue91tdUI1/niF7TF+u11oDXWV3/P5W2mkKY5Hun2CDXQQghhGgeov2eLZV2QgghhBAipq3MKsLhNr/5dbiNkHPQwol21cw7Wwp4as0edMOIyi/1Q7Xxu9iVV42mcCsc3kR66gSW/TKDQzs2MvO7P6EecGAAfY3X6O+3uKKYs+YsmB8VJbBiziP456LgjEdRPNtSKOl/O5aW/Rj79Vrsmz8k8avP0ZzOkIeb074HGwZNYOITv2bw1HFkFpRWBTrZ2O54lmUrniD96P6QlZKRvOaCl7uY4dDF3n9jqM9zkraaQgghhBBCiItNQjshhBBCCBHTgouqIuyIGPWqmcz8Ep5asweXXhUgRuGX+qECunAz3Zq17W/AuvlguNFRaav1ZLJ+GgwHYF5TtWrRcKFcqMDOwxPo+S/vQuXFlr/i1xWvYL3gwMjWOfL2F8w5tBSr7g69oaFD4Sc/Ye+4a/lC60hGWnsGV53/gEBH1bCnDAUIeI09NWMwT6/dG/Y15wnqkhJsNS4n/CxY0GS7umQDcyGEEEIIIUSzIaGdEEIIIYSIaYO7tanx63D8Q5ZKp86qOlTohdueW/eVdamK0uBf6ocL6PyrhOpaLXhRZ3JVVdOROgF6jDa/Xjcf4/huwAznFEMnzeWbCeepoqspkPMuG6bbiBsFl2pjQ6ubGerczUmSuJA6i4fPlMPbvWDzdhS3zgj2V1/5iivgJz+BW2+F/mat3+Cqm7+AQEd3k1GwG3vK0IDKrPV7joWt1PIPkVVFQTcMqeiKxMKFTbarSzIwF0IIIYQQQjQrEtoJIYQQQoiYVlLmQMEMd9Sqrz1qCqgy0tpj0VQcLh0DeG97ITNHJtf7F/EZae2Js6o4nDqqqvD0zUN82/IPFuoYMtTUxq+u1YJNOpMrWYNhFkAxK+ly/w37PwJ0QMUZ1xal8jQagF+VXKTz6EKFdQZwzmiBbihYDRf6Dwat5/0/tPJitNQJ3GjpAatWkfr++/DVPaDrIbf/Xbd+tLv7TpJ/+TPo3TuipxsQ6PzsRu9MO//KrGlDurLt8GmcLh1NUzlSWk5mfgnpPZMCQmQMA1VVUDCkoivGXIqtQoUQQgghhBDNh2LIRNt6k6HAQgghROyT9+vY0JDr4AmiPMGIJ4jKzC9h1pLNON0GVk1h+byx1X7Z/vjq3SzfUoABaArMn9qfByb1qffzCBsSRlIOVg8vbszlzxsOoBthjj9ov7UuXw8hn3PhVvj7FNDMWXGenqWeozG8/4kspPPnCez8gzqAQ+4uPGb8ih/fNJM7M3r6VigogFWr4P334Ztvwp//sWMpnDydjYMmMHjcsIYFM35PKvPw6Woz7VZlFfHe9kJcum/2IRDwOn5qxmBKyhyRVXQ10uurTmLhGIQQTUK+d4oNch2EEEKI5iHa79lSaSeEEEIIIWJauJZ1K7OKcLir5su5DVaGaH9568hkVmUVRW1GVVNX4UQ6Yyuz2wDsG3NJSrBFdSZXcOXeBzdZGXBiHRzbBRqgKGYVZPC8uaDgzXt3iAq6UMvpBrgVjaXOaZynJVsZSP9RU3gsVKVkSkrog1cUmDDBbH354x9DcjI9gLvrdyrCCn5NeKrqXHpg+8sHJvWJWuvFi9oCVQghhBBCCCFEo5HQTgghhBBCxLxQYVlwAVeogq7mPqMqkuPP7DaA2Xc8i2PDAWy1VHDVNeyx5xUz2L2fe7W1DCKf5HWn8NS+GSgBbS/9+bfC9A/mwgV5OnBS68yZ1v35WrmC9I4wYsIMxuh9secV8//1akd6ST68/ldYsyb8AasqXH21L6jr2tV8zjnFZLhL6nX96xOQhQtboxH6NmkLVCGEEEIIIYQQTUpCOyGEEEII0WQ8872iYebIZN7L9FXRzRyZHHK5aFbH1TXAqcvy4Zat7fjtKUNxaBZvVVdJmSNkS8w6hT3b3wD7S9x7/jT3W0+ihtl3uDl14WbSuQ0wUNmv98CJxmZ9EBeUlgz/0QymXn8TXYD+npWcTtK/+or0NWvMoK6gIPRBaBpcc40Z1N1yC3TqVL/nHEJ9168tbG1IpZz/bDxPFV+ThHYLFjT+PoQQQgghhBDiMiehnRBCCCGEaDKzX7FHrTIovWcSy++tpQotim0E6xrg1GX5hoRLGQW7sbldODWtxpaYnrBnBNmMNfZh/Hs9GHsgsSv0uRZy/w3HvoPyEnCcwwCsgN/IOsAXyIWbVRdcWQewU+/Nu+6JtFPOY9cHkmX0o2rTzBqTwtTrh5oLnjsHH39shnTr1kFpae0n4MQJaF/zc65rwOV53RwpLa93QBYubG1okBhpy9SoW7iwafYjhBBCCCGEEJcxCe2EEEIIIUSTiXZlUKhgxBO4JCXYeHrt3nqFI6HCvroGQHVZviHVU+lH97NsxRPY3/5XjeHkDc5PGG99lUHKYTTcqEWeRpfA/rW+BavuDBfKga9yzrNMcOtLz0cd0FUr9r6PsnJfG1xuA4umYAPcuoHVonJ7sgWWLIEPPoDPPgOHI/RO27SBG24wq+luu813f5jADuoXcPmHahZNxaIq3mONRkDW0Eq55t7yVQghhBBCCCFEeBLaCSGEEEKIWs2dO5c333wz7OOFhYUkJ4duT+mvsSuD/AMXVTHDFgNwOHWe/zSbh6f0i6hNZahKqLoGQHVZvqHVU+lH95MeoiUmAP9eAJmvk1pxBqOqz6VCYCVcQDtLv/ugeptLA3AaGjbFHTCfTjdAR2WJazrnaclpoxXtlPNkqYN5dML1rJhgBlYZvdoRfzCbsytWMjTzC1r9aXvY53WuU1fKp82g089uM2fVWa11Oy/1CLj8QzW3W+eO0Sl0a9siagFZNCrlotnyVQghhBBCCCFE7JDQTgghhBBCRKRLly60adMm5GPWCMOU+rTGrEuLS//ABQw0VUHXDXTgm9xTbDt8utZj8N+Gw68SKtIAyP94Iw2Matp2fVt8Hlv5B9rtfg0bZuWaUnUzqm7+YVzI8I7A6jnP/Rvco7jfNZ+RSjYztU2AwR69F+3V8yQOmETbvuPZvOcYX+ecwgA0Hbbk/MCvW5wifX3VfLrs7PAHPnw4R6+eym8u9GBnh17YrBrL+qaTXsfAzqOuAVdwqDZzZHJUAzKplBNCCCGEEEIIEY6EdkIIIYQQIiLPPfccc+fObdA20nsm1SmEquv8r+DA5akZg1m/5xjf5J6KuB1hUoKtKvQzq8eSEmwBx1/jHLtuA6od7wPhKuCChGv1WePzT9YgVYMyA9Y+DEXboayYk7Sny5nd3sUCgrgQ+/avmAv1NZjnwomFJe4ZtEuwMvCbXAbu2QfAmbf/K+B69u+SyHc5x7jy4A6uy7Vzyys74NTJ0E9c0+Cqq+Dmm+Gmm6BXL1ZvzGXnhgP1biHZEE0RqkmlnBBCCCGEEEKIUCS0E0IIIYQQTSYzv4RZS+3eUG35vZFXvQWHN6HCv1CBS/8uiWw7fDridoQlZQ5vRZpa9XWk7ClDa5xXVlNgGW6OXqVT5wolm7H6Pg7tKCe950xzhe1vwD0JGJ5Ebvvr3m11MI4C4efSBYdynoq6gLl0Vcu50HjKOZd2ynnKu4/liRtuMY9Puc67vrc1Z3ExrFtH+gcfkPXxJ2jlZaEPoGVLuO46cz7dDTdAu3YBD0ejhWRD1CdUq29FpBBCCCGEEEII4SGhnRBCCCGEaDKrsopwuHTAbD25Kqso4so5TVU4WlpOZn4JQNgKtODApa6VUxlp7Ymz1i8wyijYHRA2JSXYeHFjrncbnmMebcnlz6PP0X3EVOgxOmxFXVKCjdvVz/iT9XUUdNj5HpQshRbtYP9aDEXxBW5+x+HJ5IJbW3qCOc86LkNFU8yQUQVcBhhoPOmcS7bRg0nx2Xzl7E+W0RerprLshtAha+FTi1E/XEO3PZkobjcAWvBCnTqZlXS33AKTJ0N8vBl07SomI01p0DWrr2gFbXWtCBVCCCGEEEIIIUKR0E4IIYQQQkRk48aNvPnmm+zevZsLFy6QmprKLbfcwu9//3uSkiILKIK7LgZ/HRyieMKblVlFvJ9ZxPKtBazMKuLWkck1VrQFq0vlVEMCo/41bmAAACAASURBVPSj+73rJiXYeHrtXm+Q4znmEWTzurqYuEwX7PofmPMh9rx23sduNTbR9sOXoZWDG44f5nbrUVSqgjZ0yP/We+7CVdL5328YgZV1ns8dWJjl/CMAY7V9lBitaMt57PpAdhj9iLOqPDF3LuMg8FycPAnbtgXsr8czT4Q8jpIeaVROn0GXOXfAmDGgqt7Hagu6GtJCMpIwrj5B2ztbCli/5xjThl3Hnd994r2/porQqFiwIHrbEkIIIYQQQggRsyS0E0IIIYQQEfnyyy95/vnnufbaa3E6naxatYoHH3yQf/7zn3z99dd07dq11m3cOjKZ97cX4nQbWDWFW0cmex8LF6Kk90zCnleMy+0LRQxo1PaJDQmMPOu+uDHXG8SNNfbR6sIkbJa2jDX2YcWFig5uBxzeREbazxltyeVN9U/YcEExUAytq7bpCeHCZHRAYFVdcPvLLe4B5NKdPXoqQ9TDAKxyT+Bsx5GM7tWOa0bOBczw6ScJNiaXOczAq4MNsrJIz9oKL2+FrVvh8OGwx6CjcGLQCNw33sS9Z7pxoG1381p2G0C6X2Dn2Vdw0OW5vyGVb5GGcXUN2t7ZUsDjq805gZuu/w2AN7hr9HaeCxdGd3tCCCGEEEIIIWKShHZCCCGEEKJWjzzyCM8991xAMPfzn/+cs2fP8sgjj/DrX/+a1atXV1tvyZIlLFmyxPt1es8kls8bGzKYqSlE8YQiDqeOoigM6daGW0cmx/QMsb6V3/OM5Q1+on6Jho56aA2TblrGniPXo+5aCYbZJpQjWaQfyeKVzoXYTrkCgjml6j+h2lz636+DrxrPMKvwTuhtOK+04lXX9azQJ6MqMKpnEu8XlODWwaopLL91mO/cOZ2kl+SbwZzntncv6HqNz1NH4as+o9jQZwxfDcjgrw9Px55XzIENB2oMxDLS2mPRqlqfamYr0Wi0mIw0jKtr0LZ+z7HAr/uP84Z2TdXOUwghhBBCCCHEpU0xjOC/wxWRUqp+ayKnUAghhIhd8n7duC5cuEBiYiKKolBcXEzbtm1DLhfJdfBUSHlClODQ5p0tBTy1Zg+6YcTc3LDM7gOxpwwlo2A36Uf2sX/bp/RcO4s4HCh4wjYVOvYFRzmcKQhY3wj6Iri9ZUBYB7iBNe7xpCnHOWG05Qt9BAusb2HFiYHKk865/NOYzHv3jwMCq9cy80uwHzzFVZZzDD1ywBfQZWVBRUXtTzYuDq64Aux23/M/fLraPmq6lmBe71lLNnurLn86qgfLtxagG6ApMH9qfx6Y1Cf0MQSfoKDt1rZv/2UjDdr8K+0wDBZ//D9maCf/tgghLjHyvVNskOsghBBCNA/Rfs+WSjshhBBCCFFvLVu2pHPnzhw/fpycnByuvPLKem/Lv1opKcHmbZfoCVNKyhzohtF4c8PqKTO/hNl3PItDs2Bzu/hg26e0+Pa/sOJArap8MyvhdIyTB7zrKVTNpcPX9jJUQBf8eZ67C4+67yfL6BfwYLbRgwx1H9uUgVzonM57twz1np/0eAds+wZe3Ur61q2kb9sGp0/X/uQUBQYNgtGjfbchQ8BmCwjOgtuJRlJ5Zs8rxqUbGIC76mNtlW/ekK3bANKP7g95yHWpeqtLG9Q7x6QAZsXdtBcWBMy0E0II0TwYhsHatWtZtmwZ3377LcePHychIYFhw4Zx7733ctddd4VcLzs7myeeeIKNGzdSXl7OkCFDmD9/PrfffnvYfX388cc899xzZGVlYbFYGD9+PIsWLSI9Pb2xnp4QQgghLgES2gkhhBCXmbpUlggRiWj+BbjnNRmqTWKjzw2rJ3teMQ7Ngq5qDFJz6LvuWVTcgC9sq2jThxZncgPCOZTAsI4Qn29xD+ADfXzAHDpvWFe1sGroYBhkKf3IcvejpaOckZl2Op/YCDl7zCq6gsDKvrBSUsxg7sorzY/p6ZCYWNdTAtQeiAVfz1tHJtfY8jRgVt0dz7JsxRM1BneN8e/bnWNSzPCuMAN+nBH17QshhGhczz77LE8++SRTpkxhzZo19O/fn/z8fB577DHuvvtuNm7cyGuvvRawzq5du5gwYQIjR47EbrfTqVMnnn/+ee644w4OHjzI448/Xm0/r732Gr/4xS948MEHWb16NWVlZTz00EOMGzeOTz75hIkTJzbRMxZCCCFEcyPtMRtAWhUIIYTw1xzCsIBfesdYe8HGIu/XDfftt98yZ84ccnJyqj12/vx5WrdujaIonDp1iqSk0K+nulyHFzfm8ueqeWjBbRJj5v+zwq2w6x1A4ViljfM7PyQOBy2poJ163pwth6+arsCaRrIzDzVE60sPRQG3oXBQ78YF4nnXPZEV+mQABnVN5Ptj57zLalUVfDZHBT/b8REVVhvDjucy/Fg2fYqL0Iya59ABkJQUGNBdeSV06RL5OaihRWWkIrmenmWOlJazwtM+0+1i/tfLeMD+nnffDXltxMzrSgghYsCl/L3TH//4R1555RVyc3Np1aqV936Hw8HAgQPJy8vjs88+45prrgFA13WuuOIKDh48SF5eHp06dfKuc+ONN/LRRx+xa9cuhgwZ4r2/qKiIvn37MmzYMOx2u/d8Xrhwgd69e2Oz2cjJySEuLq7GY72Ur4MQQoj/n717j4+ivPcH/pnZTSChAUIUuYRwEUGbYCGxEFBRKvUURZF4AaFioRAv1Es9x/Z3tI00bTmXvk5fwCmtQlW8cRGCorF4QaNFIRCSg5CI3AIJKzcJC6K5bHZnfn9sZtjL7GYvszuzm8/79Woxu7Ozz+zsPM/s832e70PJhOkxieKIHThEFKpECYZV1jfB4ZRMl16QzM3hcODQoUOoqqryS3/57LPPQpZlTJ06NWDALlzBZtTFZAbVsZ3A0a3AkOuBQWM73/6DZ4DPlkJZia4fAIj+m6khLRkY5DiCna4rMc7inhmm3MsLAiBLMqQ2AXIr4GwV8MqFSTjd2hs9W7/Dr63v4PpLrOh7shXbqw/hey3fonfbt7g8xYmUb84jrem01lv7694dyM+/GKAbOxa4/HLvwJsBOjufnnWr1SLCKgpwSTJSJBcKG/dqbhduHRxt/c37RSKixDFw4EDcf//9XgE7AEhNTcWPf/xjPPfcc9iyZYsatPvoo4+wZ88ezJgxwytgBwDz5s1DeXk5li5dipUrV6qPP/vss2htbcXcuXPVTjzAnVJ8xowZWLZsGTZs2IDZs2fH8EiJiIgoUTFoRxRAonTAE5E5JEowzKzpBcnclA6nmTNnYtmyZbjuuusAABs2bEBJSQlycnLw17/+Vbf3C2dNsqgd2wm8dDvgcgCWVOD+t/wDd8d24qvd72PHSQHjzryBAW3uGYeeQTlBkoFWGWiRIbfIkFvh/rtVhtDqfiyr5RSkthaIrVLHc4DcIgNtMiwdQTwrgN9D+7OcFuIhSaKItitGIu3a8d7r0KWkhPnhGM+zbnW5JMwcm4MBvdNQ+NPbvFJjRlMHR/Na3i8SESWWhx56KOBzGR3poD1Hyb/zzjsAgPHjx/ttrzymbBPqa5YtW4Z33nmHQTsiIiLSxKAdUQCJ0gFPROaQKMGwuAZDKGlMnDgRFRUVeO211/D444/j2LFjEAQBQ4cOxaOPPopf/epX6NOnj67vGeqMumCznKob7NhYY4MM4M78bO39Hd3qDtjJLve/n692z6I7cxDo4b6OpcYduExyYbrHy4SO9JSCAGB/O7Cu5eJzGuUUAVyBhk6PJxLfpKbDKVrQ5/clwNixEPPzkeYzgyBeAp2PSGej+datRcp59FnLLpo6OJrXmvF+kTP/iIgic+DAAQDu+x7F3r3uWd1Dhgzx275fv37o3r07Tpw4gaamJmRlZcHlcuGLL74I+BrlMWW/RERERL4YtCMKIFE64InIHBIpGBaT9IKU1ARBwI033ogbb7zR6KJ4CTjLqWNm3H/tyMBOp3stvA27jmFN8Xj/735aVkcETgBkF+RdL1587oz7HwGA1TNIh4v/LcsAukefYrK1WxpcvXrDJqfiXLfv4ZvuPfBN9+9h+Ihs/GDUUPf6c717e/2751vgZ6v34FxaBlJdTrx29yRDr23f81EyNRf2Zgcy01NRWl4X0Wy0UOvWaOrgaF6r3C86nBIEQUBmemrIr+1MJME3zvwjIorM2bNn8d5772HMmDH4yU9+oj5+8uRJAAiYArxXr15obW3FqVOnkJWVBbvdDofDAUEQ0KtXL7/te/fuDQA4depUwLKsWLECK1asiOZwiIiIKIExaEcUQCJ1wBOROTAYRtS56ga7bteJ5iwn8SDw0u3o72zDSxYrZrueQo08AnnSfjg+/hT40R3uFx/dCpz+Etj7OgBldTr3f2gt86ZkyvJdV1oQAKm7AFkA2rp3g6N7CoTuwKlufbC/W44afEvJ6oNLBl2GUXlDMOyKbCAzE7XfCfj5W4dx1tod7ZYUpFoEzLt2KP7+6RFIsqwGXRDg89pacQjn0jIgiRa0y7Lhs7w8z4ejXULJplpIsgxRECDJsvtxp4QlWw7g8ckjOp2J5/nYwknDUd1gx/KKQ+5tNN4/mjo40tcWDM5EydRclGyqhUuSUVpeh5H9MqI+D5EG38w484+IKBH86le/giAIePnll73WoWtpcc+kTwmQYjo11T1Yo7m5OaLttRQXF6O4uNirHERERNR1MGhHFAQ74ImIiPQ1+++Vus3+0ZwVf3QT4HJAhIQUOFEo7sMI+Rh+n7IKliMypOf/CgGymsJSRkc6SyVYJ1wMzAke/+2CiBXOWzBMOImhwglcLh6HpePJ9r6puPdXpTjUMgDfpaRBslov7hdAtxTtoMsnFYdwuluGGjBsd8nISEvBugfGBx00pASzMtNTkepyol2WkSK5UDgsy9DUiJ7nAwCckvvIZFmGILg/D0kGPj14BlVHz6qfiVaACoDfrD2v2XoDrvRa085I9mYHJFmGDP0CZZEG35gpgogofK+99hpWrVqF119/HXl5eV7PpaWlAQDa29s1X+twOAAA6enpEW1PRERE5ItBOyIiIiKKGz1n/2jOihevByyp7sCdaMFdPfZjSPPnaqBOnSknwCuwJvikv4THtjtcV+K/XTNRI49Qn8sXDqDIshUAsNF1PXL2HsPGf/wrqgdcicpX31aDJcECaIXDspDSkVoRAEQByExPDTpoyC8F5ZYVsKf3RGHjXuDRbYamRlTOR1mNDa/vOga4OoJ2cH+WouD+wze4pRWgAoC2dgky3LP2Ntee8N4mZ5RpgnaxCJRFuk9miiAiCs8HH3yA+fPnY8WKFSgqKvJ7vl+/fqirq4Pdbtd8/fnz5wEAl112GQB3Gs3U1FQ4HA6cP3/eL0XmuXPnvLYnIiIi8sWgHRERERHFjd6zfwrEgyiwbgW+zgIam4Ah1wP3vwV8vhpi9csY2rwbALwCdp4BOt90l7IMOCFipfMW5IoN2Owai7XSTX7vWyOPQI1zhLrvm85ud5fn+JcomDT8YvmCBE0KBmdizYJCPPfJYXy47xQkGWp6RUA74Ocb4LKn98TCyvUAgOUhzs6K5Ww8JQgnSbL/kzJgEQXIsuz1PdAKUO0/eUGdgSgByO3fE1VHz17cpnGvruWORqiBsnA+92jX6GOwjoioc1u2bMH06dOxfPlyzJs3T3ObUaNG4cMPP8SRI0f8njt58iRaW1vRv39/ZGW52zSLxYLvf//72L17N44cOYLRo0d7vebo0aPqfomIiIi0MGhHRERERHET1eyvYzuBz1cD334NtJwFztmA840ALq5JJwlWlGT+N64+ewz3yC515pxnwE75V+6Y9eWQLTgkZeNVaTL6CN+iUrrKPavO5V8EUQD6ZnTDiMsy8NnhJrgkOaogUsHgTPxgUG9s2XdKnYFWVmPDxhqb5ow5vwCXx/uGMjsr0rXSwuFZDotFBGRZ/ZxKpubC3uzwCkRpBagq65sgCu50mqIAZKSleG9jmaFrmaPVWaAsks+dwTciotj58MMPcccdd2Dp0qVeAbu6ujrU1tZixgx3O3PLLbdgyZIlqKys9NvH9u3b1W083XLLLdi9ezcqKyv9gnaBXkNERESkEGTZd3wxhUpZFJgfIRERkXmxvTaHiM/DsZ3AlkXAic8Bx7deT3lkuvSaObfDdSW6Ce0YLR72CtpJAESP17sg4jftczVn0g3JSscVl2Wgb0Y35A7ohdrj5yEAKMrPVtdhu3fFdjhcMiwC8Pt//C9m7Xnv4pt18J1dpTXbavWORpRsqoUkyUhNEXFnfjbW7GyEJAMWAXji5pFY6DF7z2sfQ/p4fCByp7O5llccwv+8v18Nhl07/BI8PnlEZMEhrVyiGmUEgqcJ1aIEuZQAZLxTferN83PXOqdERGaS7PdOH330EW6//XYsWbIE8+fP93pu1apVWLVqFT7++GMAgCRJGD16NOrr61FfX4++ffuq29522234xz/+gf/7v//D1VdfrT5+7NgxjBgxAldffTUqKyvVz/O7777D8OHDYbVacfDgQXTv3j1oOZP9PBARESULvdtszrQjIiIiIvM4thP4bAlwshb47mugvVl9ynMNOvj8t6exlv1qQE+5Z26HBSXtP0OeeBSX4DzOoBc2uq73WqdO2eescTn44/Tgaasq65vQ3rFmm0sGSm5+CCPPNHits+a3/tzUXJSW18HhlGC1iLirIBt5A3qhtLwOkixDFAWUTM3FyH4ZKKuxBZwxF2wGVmezs5RZcEoazU8PnkHV0bO6B8V8yxHuvpNtbbZYrHtHREThq6iowNSpU9GrVy9s2bIFW7Zs8Xr+yJEjSEtLU/8WRREvvfQSJk6ciHvuuQfPP/88Lr30UixduhTl5eUoLS31CtgBwKBBg7Bs2TIUFxfjsccew6JFi9DS0oJHHnkETU1N2Lx5c6cBOyIiIuq6GLQjIiKKQizXhiJKWkqaSwjAD+4FBo0FyhYAdWWApJGTsoNnkE6ZWQefxwB3cM8iyHDKAvZKw1AnD7kYoJO09y0K7v2nWEUU5Wd3egiFw7JgEQU4O9ZucwkiKnNGoeD4l2q98NW5Fq815jbXnlD/djglrNnRCIsowCXJHQFJGfZmR0wDVsq+l2w5gE8PnlFTcgZa/85IvoE/rfo2UergZAtCEhElqpdeegktLS1oaWnBunXrNLe54YYbvP4eM2YMqqqq8Jvf/AZjx45FS0sLcnNzsXr1atx7772a+1iwYAGys7OxePFi5OTkwGq1YsKECdi2bRuuueYa3Y+LiIiIkgfTY0aBqQqIzClROvAo8cVjbSiKHttrc1DPw9uPA7tWwTt6JuBissvAfAN1nqdUBvC5NAzbpe9jrvV9pMCJdlgx2/GU12y6Hw7JxPQx2fh4/2ls+cK9jlyKRcCi2/Ngb3YgMz3VLxWmJ8825oO6k3j2n/VqYRa/+xeMPNOA2fP+jLZ2CaIoQIAMWYa6nltpeR3a2iX1aEUBEAUBsiyHlQZSLcdPb7s4uy+M77gu6SeDpMfUm1Z9CyDkOpj3BkREoeO9kznwPBARESUGpsckIgqCQRSKp8r6Jq9ZNGacqUJkNvKuFwBcnDUne/y/VrpL5Z7Xc206T/WuftiOXK9Ul1uka1Ao7kOldJX62Nghmfj1lKvUa3TWuBzN9eaUdeoAYH21DWsWFHrN6vJsY4rys9Vwoyi5YE/vicqcUWpQziXJsIgCZowdhDs7AoAj+2VgY40N63cdg0uS1WCevdkRckDJqxwz/4jX1j4NAKisOBTyPhJt5pdWfQsgpDqY9wZERERERESUKBi0I6KkwiAKxRPXKCIKn4COwJtw8W9fnoE5QXD/Lcvudek+co0BgIBr0gFAjTwCOaNuxF1Ds9Cj9gSm5PXHrHE5ftv5pl/0XKcO8G9HfNsYAUC3lI46QHKhsHEvAHilzZRlGQN7p6n7UN6zKD/bL2CoBKI6SwlZVmNTA4PtogVleT/ChlGT0f7efqRYRa9AYzCdrX9nJr71rTIj0moR4XIFr4N5b0BERERERESJgkE7IkoqDKJQPCXaTBUiM/BMcRksc0SLnILuQjtcMuCCFetdN/gF6SyigFQR6sw4hQjgissyMGtcjmawLhD3OnWAsyNzp2874tvGFOVnXwy+eaSpLJ2Wh5JNtZBkGakB2iLPgFmgmWCBUkJuqLap6TUtsoQz6b3hsKQAcM88e+6Tw1gxR9/1coxOL+lZ32amp6K0vA4OpwSrKGDm2BzNVKYK3hsQUVdjdJ1NRERERJFj0I6IkgqDKBRvesxUYccKdSWCz9Q6lyzAAQva5FSkC21ogxWvun6M/3bNQr5wwC/NpcIiCnj9gfEAgHtXugNbgDtgZ7UIOH6uBdUN9rCvKVEUAUmCRRSw6LZcr9cHamMKBmcCyrpycKfeHNkvI+B17XvNB5oJFiglpNPlPlYBwFWnj/gdw4f7TkV07IEETC/5zDMhv16POk6pb5dXHFI/F5ckY4DHTMZAr+O9ARF1FUwJTERERJTYGLQjoqSTSOm+yJuewatECYSxY4W6Gt/Zdb9xzsNa6SbNbWvkEahxjUCPVAsEhwsy3EG/Hw6+uD7d8opDahBLFIBhl34PR858hzU7G1FWYwvrmiqrsaFdmWYny7A3O9TnPOuUhZOGd7ov37Zo9Y5GbK49gdz+PbFq+1Gvaz7QTLBAj6daRTVotaffcKT0HQpRliAJFqXouqaADJhectEize09PysAutdxkcyc470BEXUVTAlMRERElNgYtCMiIlPQM3iVSIEwdqxQV1PnGowM4Tu0oRtecP3EK2AnAOiVlgKrVYAgA73SUzHv2qGYNS4nYCBeCeA4nBIEQUD96W/REXaDI4xrqrrB7pV2UhCgztYDtANPXmUKsu/VOxrx1Bvu9e62HjzjXtcPF6/5hZOGe6V+9FzbTmuG2GvzC7FkywF8evAMZNEClyzjpoM78NGVE+CS3TMNtQJZkQ5mCCdI5lv/FuVn617HRTpzLlEGcxARRYMpgYmIiIgSG4N2RERkCnoGrxIpEMaOFepqpjr/Q/PxO0YPwJKZYwK+znemlGcApmRqLko21cIp+axtJ2gHr7RU1jepM/YAQJLdwbb11TbcXeAfeAJ8AnkDrlTXtPO1ufaE198y3LMCPa955di0goO+9VfB4Ew8PnkEqo6eRXurAymSC5Pqq/FJ7nWQnJJ/DlIEH8zQWTArnCCZb/0rADGp48KdOZdIgznCxWAkEXliSmAiIiKixMagHRFFjZ1FpAc9g1eJFAhjxwp1dQKAP04fhVnjckJ+jW8A5s78bEg+eTetooDSaXkhX1Oe9QYEAa6OAKDDKeHrC21+dYrf4ICcUQGDdrn9e2LrwTNej107/BI8PnmEV/nCGXCg1h0zH0Bh415U5oyC0yVBBuBy+b820L47C2aFmxbUt/4tys9GUX624XWcXoM5zHbPk8zBSCKKHFMCExERESUuBu2IKCrsLCK96Bm8SrRAGDtWqKu6/grvwFV1gx0ba9wpKu/Mzw54XfgGYGRcnM1lsYi4qyA76Ou1eNYbu4+dwwdfnPJ6vig/G0LHv8p+vQJ5jXsD7jsjLcXrb6so+AXsgMADDgIFigoGZ6Kgcr36d7DBCoH2HSyYFUkbH6j+NbqO02MwhxnveRJpZjkRERERERF1jkE7IooKO4tIT3oGrxgIo3ibN29e1PsQBAHPP/+8DqUxv1SLgCl5/dVUkwBwz3PboGSo3LDrGNYUj/dfO25wpl8A5s58d5DOc5vqBjuWVxzyCk51FsRX6o3qBjs+2X8a7S4ZFouAj/efhlOS1TXalG291qHbMsr9uMZsu8JhWeieIsLRLkEQBUy6sm/A9/cNeIUaKCo4/mXQwQqBgmnBglmRtvFmrH/1GMxhxnueRJpZTkRERERERJ1j0I6IosLOIiIit1WrVkW9j64QtBMAXJ3dCzN+mIPS8jo1GHX1wF7wWFIODpesvXbc/EIA7pl4vjPytGaIWUQBkiRDkoFuKaHPFltTPB6V9U346lwL1u5s1AzUeK1Dd/1Pkepy4rW1T6NAY3+vzS/Exhob1u86hg/3ncLWg19rlsU34KUVKFIeLxyW5fVenQXLAq2PFyiYFU0bb7Y0kkD0wUQz3vMk2sxyIiIiIiIiCo5BOyKKCjuLiIguqqioiPi1sizjpptu0rE05tQtRUTJbbl+wajGs81+22amp/ptV1Zjw8YamxrE69nNiiVbDmBKXn91XbzK+ia0tbvTZkqui2vdOdrDmy0GABtrbLCK7jXutAI1avlEC9pl2b22HfyDVgWDM1FZ3wRnRwAx1JlavoGizPRU7yDmgCsDrqUXqkDBrEjbeDOmkdSDWe95zDizkYiIiIiIiCLDoB0RRY2dRURE7llyN9xwg9HFMD3PAI5nMKpfz+44+U2b17Ylm2ox/7qhXtsJgBrEa2uX8Ow/6wEAWw+eAQDMGpeDCy3tkOFPFIWQZ0d5Bp6sFhEzxg7SXCdPDaq1OpAiuVDYuDdg0CqSmVq+gSK/mXc5o6IO2nX2/uG28WZMI6kX3vMQERERERFRLDFoR0REZAAzpo6j6PTp08cU+zA7z9SSSjDq4KkLeHP3cb9tnZKMv396BKXT8mBvdqhBrrIaG9qd7pl0skd0bnPtCcwal4O6E99ovvf864b6XW/KtZiZnqq+hzIrTgk8uVwSBvZOCz4bbeXrKBS/QcGCGVgeIGgV6Uwt30CRV+CvcW9I+4gnM6aRJCIiIiIiIkoEDNoREZFuGIgKTbKmjuvqvv76a1Psw+yqG+xegbuCwZm48U+B04q6JBm1x89j8fRR6mNK4OtCS7s60w4Acvv3BABMyeuvzrxTiAAy0lL8yqJci5LsXm+vW4qIkqm5+OpcC6wWES5X8MCTWu8tuEc9rsIGe8CgVbQztfwCf3+I3Sy7SJk1jSQRERERERGR2TFoR0QUZ8ka2GIgKnTJnDqOLiotLQUA5OXloaiovalB0wAAIABJREFUyODSmIfW9/0nuf28gm8Tr7gEnx06A5cMyAA2VNu8UlP6Br5WbK2HJAMvfHYEF9qcKMrPxuLpo7CuqhF1J76B3Nl6dB2z9WS4170r2VQLSZZhFQXMHJuDIo20mEDgei+coFUkbUIipGhMhDISERERERERmQ2DdkREcZQIga1AqeI6w0BU6Jg6rmtYtGgRLrvsMvz7v/+70UUxFa3v+/+75Sqc/KYVHx/4GjeOuBRLZo7B02/sxeodjZDhTk8ZqE7xnD3ncMl4bUcj1u86hjXF47HpF9cFDYop16JSd4lwr3snybI7LaYkY0CAtJhA8HovlKBVIrQJWpJ18AkRERERERGR0Ri0IyKKI7MHtgKligulI5mBqNAxdVzXYLFY8Mknn2DEiBFGF8VUAs1Ye7fuJBxOCe/WnUR1gx1F+dnq2nXB6hSl7mltl9THHC4Z/7V5H24Y2ReFw7JQOCwLlfVNfu/veS0qAxUy01NRWl4XUl3mGfQTBAGZ6amdHr9nwEuXNuGZZ8LbPgTBgnLhBhpDDfAxEEhERERERETEoB0RUVyZPbCllSou1I5kBqLCw9RxyW/QoEHIyur8Gv/nP/+JiRMnxqFE5qUVvFo4aXjQOsUzyPPa/EKUvl2Hz23n1ed3HrWj6qgdKRYBEAQ4XRJEQUDptDzMGpejbqd1LY7sl+H1voECSgWDM1EyNRclm2rhkmSUltdhZL+MgNe2b8CrZGpu9G3CokXhvyZA2ZTgZWl5XcCgXDiBxlADfIk645CIiIiIiIhIbwzaERHFkdkDW1qp4sLpSGYgiuiiOXPm4OWXX8Yvf/nLoNtNmjQJLpcrTqUynlYALNCAhkB1ilaQp+S2XNzz3Ha4lFEH6Bh44JIhw/2YJMso2VQbNLDm+76dBZTszQ5IshzSIAffgJe92WGKNsHzGEVBgEsKfDzhDD4JNcBn9lnoRERERERERPHCoB0FxVRFRPozc2BLK1WcGa9/1k2UCH7605/isccew5dffom7774bgwYNQlpamtc2sixDluUAe0hO967YDqckewXAwh3Q4BnkcXjMzPv9tDx11psM98ADq0WAq2N9OgCQJDnkoFB1gx1LthwIGlAKJ4ilta0Z2gTvWdYyLKIAWZY1jyeccxXqZ2P2WehERERERERE8SLIXa2nSEeCIABA0na2MVUREZmRUXUTA4WJy6j2WhRFCII7+KGUIZCuMNNO+QyG/LpcDahde8UleHzyiLCvqdU7GvHUG3vVvxdPH6WmvPRM86gMPNh/8gJKNtVCkmSkhrhOp1LXtLVL7vIKCFjnhFM/hLJtPOub6gY7ymps2FBtg8vlDpqVTM3VbdAG17QjIko8yd7XkSh4HoiIiBKD3m02Z9pRQExVRERmZETdxEEMFKk5c+YEfV6WZbzyyitxKo05pFgEOF0yJACfHTqDqqNn8dr8QgAIOWhjb3ZAANTgn73ZoT6nNXOtYHCm3zp1nVHqGjXAODxwgDGc2XKdbetZ31gtIu4qyMad+dkxqXO83ksUMHNsDoqCvFckgbVQPxszzDgkIiIiIiIiMhqDdhQQUxURceS/GQWqm2J5rjiIgSL14osvdrrNyy+/HIeSmMea4vFYsuUAPj14xp3esl1CWY0NG2tsIQeqCodloVtKePco4QaFfOuaSGYERsI39eeaHY3YWGMLO7AZ7nu5JBkDeqcFDdjpNXiBbSsRERERERGRNgbtKKBw15ch8zJbKq5EwdlV5qRVN8X6XHEQA0VizZo1IW1XUVER45KYS8HgTEzJ64+tB88AACQAh05dCBioCjSzLdb3KPF4D622t3BYFqwWEQ6nBMA9m7DdKWFjjQ1lHYFNveq5cOo2vQYvsG0lIiIiIiKKPSP7etnPHB0G7SgopipKfKF0jrEDTVtnHZSxaoC09svGzptv3RTrmXDJMoiB36P4eu655zBjxoxOt7vhhhviUBpz8UxvCQDVjedgFQW0u2TIuBioCnYtx+MeRdl/ZX2T19960Gp7AWBjjQ2SJKnbiQKQYhUhA7rXc551W2Z6atDj1GvwAmcuExERERERxZaRfb3sZ44eg3ZESS6UzjF2oGkL1kEZqwYoUCeuGRs7MwWA4jETLtEHMfCmKf4+/vhjvPjii5g5cybS0tKMLo6pFA7LgkUU4JTcYTtZlnH3D3MAAOt3HYNLkk0xqzWW141v26ukCG1rl9RgpudaeoA7oNfulGARBRw/14LqBrs623hjjQ0yEPb6d8q2nR2nXoMXOHOZiIiIiIgotozs62U/c/QYtCNKUKEGTELpHGMHmrZgHZSxaoC09gtcnF3R1rH2k9GNndkCQMkyEy6WeNNkjJUrV+KXv/wlZs2ahQceeAA/+MEPjC6SKRQMzkTptDyUbKqFJMtItYoo6gg2FeVnm+ZajuV1o6TBbHdKsFhECHDX9UrATgCQmiJiSl5/9fN4bX4hymps2FBtw5qdjSirsaFkai4WvV2nptPcsOsY1hSPD6ucoR6nHoMXWF8TERERERHFlpF9vexnjh6DdkQJKJyASSidY+xACyxQB2WsGqBA+7WKAhwdaeM2VNvCnkmhNzMGgBJ9Jlys8abJGNu2bcOePXuwcuVKTJo0CcOHD8cDDzyAe++9F+np6UYXz1Aj+2Xgnh8OggCoATvAXNdyzK8bWVb/zR3QS30vi0XEXQXZyBvQC6XldV7t/cDeaXC6Lta/m2tPoN15MZ1mu0sOu06Od/1gpnNMRERERESUbIzs62U/c/QYtCNKQOEGTELpHPPdxkypD80oVg1QoP3efc0grN7RCBmAy2V8kIwBoMTDm6b4O3LkCADg6quvxv/+7//iT3/6E9auXYuVK1fiiSeewKxZs7BgwQLk5+cbXNL48x18UpSfbXSRVL7tX6yum8r6Jjgl92AMlyTD3uzwe6/lFYf82nvf+ndKXn/sOHJWnWmXYhHCrpNZPxARERERESUXIwdLcqBmdARZVob4UrgEQQDgXoeFKJ6Uzk6lw07v1IRmS31Igc95pMFVPYKyDOxSojBje/3SSy/hoYceQltbG8aMGYMHHngAs2bNQo8ePYwuWsx4noflFYfwP+/vhyQDFgF44uaRWDhpuMEljE/7t3pHIzbXnkBu/55Ytf1o0LY81Lo/mjXtiIiIfJnx3qkr4nkgIiJKDHq32QzaRYE3UGSkWAZM4t2ZyuBPaLQ6aSPpXPZ8nbUjBRs7eSmZGdVe//Of/8TEiRPVv5ubm7FmzRo899xzqK6uhizLuPTSSzFz5kzs2bMHNTU1eOihh7Bo0SJ07949rmWNB8/zEOvBJ5GKdfu3ekcjnnpjr/r3gxOHISMtJWj7xzaSiIjijX0d5sDzQERElBj0brNFXfZiMEmSsGLFClx77bXIzMxEeno6hg8fjp/+9KfYuXOn5mveffdd3HDDDcjIyEBmZiamTp2K6urqOJecKHIFgzOxcNLwmHTgKam3LAJinvpQ6bj9n/f3Y/bfK1HdYI/Ze+mpusGO5RWHOi1vqNuFwveca6VJDYXn6xxOCWt2NCbUZ58o9Dz3lJgmTZoEAPj888/x8MMPY8CAASguLkZ1dTUmTZqEtWvXwmazYenSpaioqEBVVRX27duHuXPnGlzy2FPSMT5x80jTBOyA2Ld/m2tPeP1dd+KbTtvyWLb34WK9RkRERERERBRbCb+mXVtbG6ZNm4aGhgYsXboU1113HVpaWvDcc8/h6aefRl5eHsaOHev1mhdeeAE///nP8cgjj+CNN95Ac3MzHn30UUyYMAHvvfcebrzxRmMOhsgk4rm2Tbjr85lBqDPcYp1mLdJ15ZTXtbVLkAHISJzPPlEwxSwB7hFW48aNw65duyDLMvr27YsHH3wQCxYswOWXX+63/YgRI/Dqq69i4MCBBpQ2/uKd4z6UGWuxaP8833dKXn9sPXhGfS6rRyrue34HpuT1x6xxOVGVPdZYrxERERERERHFXsIH7X79619j27Zt2Ldvn9rJlZ6ejqeeegqff/45srK8O7FtNhsWLlyIsWPHYunSpRAEAX369MErr7yCyy+/HHPmzMHBgwfRrVs3Iw6HyDTi1ZkaSeDJ6M7LUAONsQ5IRtq5rLxuY40N63cdg0uSYz6jsqtJxGA0xcauXbtw0003obi4GHfccQes1sC3Xm1tbVizZg1TIMWAV1pgUcDd1wxCUYC0wHq2f1qBrsXTR2Fz7Qlk9UjFm7uPA4AayNMK3OkRLNOj3WS9RkRERERERBR7CR20++qrr7B8+XLMnz9fc1T6unXr/B579tln0drairlz56q5RgGgR48emDFjBpYtW4YNGzZg9uzZMS07UTILp3Mw3MBTrEb6h1PmUAONkc6EC0ekncvK64rysw2fvZGM4nHuKTEcPnwYQ4YMCWnbPXv2YOXKlZg+fXpsC5UA9B6c4ZUW2CVj9Y5GlNXYYj5bTCvQtXDScMwal4P7nt/hte26qkbNoF20wTK92k3Wa0RERERERESxl9BBu/Xr18PpdGLixIkhv+add94BAIwfP97vufHjx2PZsmV45513GLQjwwXrsDRiplmo7+nbOVgyNRf2Zken6chCPY5YjPQPt0Mz1EBjPNOMRire6em6ikQ496S/srIy/OQnP0GPHj0AAM8880zIATsA+OEPf4iqqqoYlS5xxGJwRiRpgfVoa4MFunxTZdYdP4/qBrvfe0UbLNOr3WS9RkRERERERBR7CR20q6ysBAD07dsXzzzzDF599VXYbDb06dMHN998MxYtWoShQ4eq27tcLnzxxRcAoNmJpjy2d+/emJedKJhgHZZGrCkTznt6zWZwSijZVAtJlnXveNVzpH8kHZqhBrsYFOu6eO67nrvvvhvdunXDjTfeiGnTpmH+/PlGF8nUAgXFYjE4Qwk4ldXYsKHaBpcreBvSWTusx2zyWeNyULH/ND744hQAQJaheazRBsv0bDdZrxERERERERHFVkIH7Q4fPgwAmD9/PoYOHYo333wTV1xxBSoqKjBnzhy888472LZtG0aMGAEAsNvtcDgcEAQBvXr18ttf7969AQCnTp0K+r4rVqzAihUrdD4aoouCdVgasaZMOO/p2TkoCAJckhzSjAZFZ52hsRjpz5RfRKSHrVu34q233sLbb7+Nhx9+GAsXLsTo0aMxbdo03HbbbRgzZozRRTSNYEGxWNXJSsDpzhDSAgdq97TKrWwfrN0K9D4P3nA5th78utNjjSZYxhlyRERERERExmQu01syHAN1TpBlWTa6EJEaOXIkDhw4gJ49e8JmsyEjI0N97sUXX8S8efMwefJkfPDBBwCAY8eOIScnB6mpqWhra/PbX319PS6//HL06NED3377bafvr6yJl8AfIZmU0imodOJpzbTTes6I8gTavrK+CZnpqSgtrwvrdfGeRehbZjZ6RMnHiPb68OHDePPNN/H222/js88+gyRJGDhwIG677Tbcfvvt+NGPfoSUlJS4lccMlPPwl48O4qtzLVi7sxGSDFgE4ImbR2LhpOHqtuGkZI5F3R2o3VtecQj/8/5+tdwzx+agrMYWVbvF9oeIiMyGfR3mwPNARKQfI/sc9ZIMx5Cs9G6zDQ/aDRkyBA0NDSFvP3v2bLz66qsALgbtZsyYgbVr13pt19raih49ekCWZXz99dfIysrCmTNncOmll0IQBEiS5LfvL7/8EldddRUuvfRSnD59utOy8AaKYsmoNe0C7TvS9wzndb6dob6duERdCTvy9WN0e22321FeXo63334b77//Pr755ht873vfw80334xp06bh1ltvRZ8+fQwpWzwp52Ho/yuH1SICsgyXJEc8ACXWP1i0rkHfYF5RfnbQ4CMREVEiMvreidx4HoiI9JPIfY7Kb9POBr+ScfRusw1Pj3n//fejqakp5O3Hjh2r/ndmprsDJScnx2+77t2747LLLsOJEydw+PBhZGVlITMzE6mpqXA4HDh//rxfisxz584BAC677LJIDoVIV8FSYcVqTZlgHaCRvmc4rwslJVqiBDISpZxdldnPD0dPJZfMzEzcd999uO+++9De3o6Kigq89dZbKC8vx8aNG2GxWDB+/HhMmzYN//qv/2p0cWNOkgGXS8LMsTkY0Dst4usw1umitdov31STALCxxhaT9Mpmr6eIiIiIiIgSRaIujePZP2S1iLCKgjr41YzHwN+x+jA8aPe73/0u4tdeddVV2LFjB9rb24Nup0Q6LRYLvv/972P37t04cuQIRo8e7bXd0aNHAQCjRo2KuExEZhBpBenZAdrWLmFjjS2uFWxn6+4kSiAjUcrZVSXC+TFi7UqKj5SUFNx88824+eab8Ze//AW7d+/GW2+9hbfeegu//vWvu0TQThTc92a5A3ph1jj/gVeh0vrRFY8fCL7BvFisF2eWeoo/uIiIiIiIKBkk6lrfnv1Degx+jSWz/I5NBoYH7aIxefJkrFq1CkeOHPF7rq2tDadOnYLFYsEVV1yhPn7LLbdg9+7dqKys9Avabd++Xd2GKNZi1RG2ekcjSjbVwiXJ6JbiriABhJRqs3BYFkRRgOSSIQNYv+sYivKz4x64C/R+sQpk6H0uGHAxt0Q4P4k6AozCN3r0aIwePRolJSU4ceKE0cWJC1FwjwwsLa/DyH4ZEV9/WrPetH4gxDrwFIvZ72aop/iDi4iIiIiIkkmsMpfFkm//ULz7acNhht+xySKhg3bTp0/HwIED8d577+HMmTO45JJL1OfWrl0LSZIwffp09O7dW338wQcfxJ///Ge8+OKLeOCBB9RZeN999x1ef/11ZGdn46677or7sVDXEquOsOoGO0o21cIpufPnOtollNXYsLHGpvlevuUomZoLz9S7TpfcaQUbTWdoKK/1DSrqHciI9lxoHUMiBly60myKRDg/iToCjLxJkgSbzQYAyM7OhiiKAIDVq1djw4YNSEtLwy9+8QuMHz8eANC/f3/DyhpPkuweGKLHTbznj67lFYfQ1i5Bhrv9q6x3p1+Ptr01on40Qz3FH1xERERERETGSqT+ITP8jk0WCR20S09Px6pVq3DrrbdixowZePbZZzF48GBUVFTgySefxJAhQ7B8+XKv1wwaNAjLli1DcXExHnvsMSxatAgtLS145JFH0NTUhM2bN6N79+4GHREli846+GLVEVZZ3wTJI+omigIEIOB7+ZZjc+0JrwUzRVEIWsFGE/AK5bVa2+jdUEVzLgIdQyI1qEB8Z1NUN9hRVmODABg2OihRzk8ijgAjbxs2bMDMmTPRrVs3HDhwAIMGDcIrr7yCn/3sZ2pdW1ZWhm3btiE/P9/g0sZPrG7iM9NTobRgUsff0ba3Rs02M0M95fuDKzM9FcsrDpm63iQiIiIiIko2idI/ZIbfsckioYN2gDtFZmVlJX73u9+hsLAQFy5cwKBBg3DffffhqaeeQlaWf2fQggULkJ2djcWLFyMnJwdWqxUTJkzAtm3bcM011xhwFJRMQungi2bkQbCAoLJfh1OCKAgonZaHkf0yUFZj03wv33JMyeuPqqNnvV4frIKNpjM0lNdqbbNw0nBdK/1ozkWwY4i2QY3nzI54zaaobrDj3hXb4XC5u9XXV9uwZoEx6dYS5YaHEtvrr7+OO+64A6+99hrS0tIgyzIWLVqElJQUPP/888jNzcWTTz6J//zP/8Trr79udHHjxjelpV6BIHuzA6IASLJ73Tx7syPsOt637g23ftSz7ja6nvL8wZWZnorS8jqmyiQiIiIiIqKAjP4dmywSPmgHAGPGjMGbb74Z1mumTJmCKVOmxKhE1JWF0sEX6ciDzgKCgfYb6L20th/ZLyPkckUT8ArltfGYVh3NKJBYlS/eMzvi8TlXN9ixZMsBNWAHMN0ahS5R07fu3r0b77//PtLS0gAAW7duxZEjR7BgwQLMnj0bALB06dIut5auchOvd12nVZeFU8cr5Wlrl2AR3QNXwqkfY5Fu2WjKuVpecYipMomIiIiIiIgQ+9/vSRG0IzITrQ4+rQs5kpEHoQYEQ3ks0HOhlks5ppKpuepshnCOJ5SO1HhNq450FEisyhfvdYRi/Tl7dmR7Spb81mbsaE8mRqUn1MOJEyeQnZ2t/l1WVgZBEHD//ferjw0fPhynT582oniG863rympsUV1LgeqyQHW81qw6ZU08pySjZFMt1j0wPuT6MRbpls2CaxMQERERERERAat3NKJkUy1ckoxuKe7f73pj0I4ogEg74n07DQHo1hFnlk4zvToXQwmWmX1adSzKZ8R5juXn7NmRLQrAqIG9kDewl2Fr2unJ7B3tySDeQWw99evXD19++SWuvvpqNDc3Y+3atcjOzsaECRPUbb7++mvNVN5dgWddZxEFbKi2wemKfbsCaF+7hcOyYBEFOCX3jGBJlkNOy1zdYMdX51pgtYhwufRNt2wGXJuAiIiIiIiIurrqBjtKNtWq/QaOdvfvd70xaEekIdqOeM9OQz1TSundaRZpYNLsnYuJLtk6R32DkCW35Sb8MSmMvha6wiw/swxWiMTkyZMxZ84cFBcXo7y8HGfOnMGiRYu8tvnrX/+KkSNHGlNAg3nWdcfPtWDNzsa4XUue125bu4SNNTb8cfoozL9uKFZsrYcsA6khft887xmsooCZY3PCHpSQCN9zsw+iISIiIiIiIoqlyvomSPLFpX9EUYjJ73cG7Yg0RNoRr3SgZ6anqikjw10Pp7MOeL06zaIJTIaaApQil0ydo8kWhPRkZEd7V5nll8jfn5KSEkyYMAG/+MUvAAB5eXl44oknAADV1dVYuHAhqqqq8Je//MXIYhrKc3279dU296w7S/TXUmdtUuGwLFgtIhxOdzrM9buOIXdAL6zafhSyDFhEASVTQxtg4HnP4JJkDOidFvb3tGBwJkqm5mJz7QlMyeuvfiahrsWXiNcHERERERERxQd/N+pD6Qd0OCWIgoDSaXlc044oXiLpiPfsQJdkQADUvLahdDjHuwM+mhlCSif6xhobZAD7T15AaXld0gcPKHLJFIT0ZGRAyehZfvGUqN+fgQMHYt++ffjwww8hCAJ+/OMfo1u3bgCAvn374qGHHsJDDz2EO+64w+CSmoQyWs1j1FokQmlPCwZn4q6CbKzZ0QgZ7mDb5toTahBPlmXYmx0hvZ8ewfvqBrvajlYdPQsAIbWrXSV4T0RERERERJHh70b9xKsfkEE7Ig2RXICeHegAIONiR/rCScPVbZT9B3t9JB3w4Y7Iz0xPjbqTsazGpo4skGS5SwQPiHwZFVBKhHR6BKSnp+O2227ze3zQoEG4//77DSiROVXWN8EpyWoAzbcdCWdUYKjt6Z352dhYY1OvoSl5/VF19GzY15QeN+2+ZVYCiJ0dQ1cK3hMREREREZlJosxe4+9GfcWjH5BBO6IAQrkAPStnz+mxkgyIgFfqyEAjGvQIooU6YsJ3u5KpuWoaz3ArG68gpSxDFAUIkBk8IIqTRE4bSd6GDRuG+vp6o4thqGBB6HBHBYYa0Na6hkb2y4jomor2pt23zKEGEBm8JyIiIiIiir9Emr3G342Jh0E7ohD5jp7wrJytooC7rxmkBsE817QrGJyJ5RWHNEc06BVEC3XEhO929maHOgswlGP25FvhRxMAjBbX/aGuiN/nxOFyubBv3z7Y7XbIPqkfZVlGQ0ODQSUzju/3N1gQOlgbp3UdhBPQ9g22RRt8i/S6jDSAyOA9ERERERFR/CXS7DX+bkw8DNpRTCVLp7LW6AnPytnhkrF6R6O6hp1nZ+LyikMBZ9GFG0QLJNQRE+GMrOhsxEikFb7e34lIZxlqbZcs31cyv2i/a4k0ossonp+xkf72t7/ht7/9Lex2u6HlMJNA31/lf0rbqVwfgdquYNeBb/AtHvV7tNdlpAHERF3zkYiIiIiIKFEl2uw1/m7Up18gXn3HDNpRzCRTp7LW6Amlcm5rlyDDew27UGfRZaanQhQEQI4urWSoAbRwAm2hjBgJt8KPxXci0lmGG2tsAWdOJvr3NVQMUhpDj+9aIo3oMoLvZ2yUDRs2YOHChbjjjjuQl5eHP/zhD3jmmWcAAC0tLfj000+xfft2PPHEE4aV0QjBvr+rdzSiZFMtJFn2uj602i6t/SiPe24Xr/qd1yUREREREVHXwNlriUWPfoFA+6hu0H+QNoN2CczsHe7J1HmlNXpCqZzLamzYUG2Dy9X5LLrCYVlqpyIAlJbXQZJlCKKA66+4NKoyBgugaaUhi+SYoxWL70QkswwtFhHrdx2DU5I1Z062tbuDeon6fQ1FogUpzV7fhUOP6yDRRnTFm+9nbJQlS5bgD3/4A5566ikAwB//+Ec1aKd48sknjSiaoQLNPq9usKNkUy2ckjuFaFu7hCVbDuDxySM02y7f6yAzPVWzXgs0aMM3lXW0eF0SERElljNnzuDhhx/G+vXr8eKLL+JnP/tZwG0PHDiAp59+GhUVFWhpaUFeXh6eeOIJzJgxI+Br3n33XfzHf/wHampqYLVace211+J3v/sdCgoKYnA0ROaWTL/piRScvZY49OiLCzRwePbfK3UvL4N2CSoROtyTqfMq0OgJpXK+Mz/b77nOOhPvzM9WL3TIMrZ8cQpbD36t+7mM9LsSixEjsfhOhFPOovxsCHDPily7s9Fv5qTVIsLhdM+cXL/rGIrys013XeklkYLqeo2GMcsPBD2ug3iP6DLT5xcK38/YKHv37kVZWVnQbZ588kmMHz8ef/rTn+JUKuOVltdpzj6vrG+CS7q45p8M4NODZ1B19Kzmde97HQSq13wHbayraoQSyxUF6HYfxZGWbolWXxARUddUVlaGhx9+GA6Ho9NtP//8c1x//fXIz89HZWUl+vbtiyVLlmDmzJk4fPiwOkDL0wsvvICf//zneOSRR/DGG2+gubkZjz76KCZMmID33nsPN954YwyOisicEqEPk6ir6Wq/2/R6E8LtAAAgAElEQVToi9Pah9IPoTcG7RJUInS4J1vnVbDRE1rPddaZKANB02vqJdh3pbMKWu8RI7H6TnRWTq1UpVozJ+8qyMaaHY2QAbgkWbdzYXRDqPX+iRRUj7a+M9sPBL2uA63vfSy+a+F8fkZ/1xW+n/E1fzCmHLIso3fv3urfPXv2xJkzZ3DJJZeoj1ksFnz11VdGFM8wgdZwLRyWhW4pIhztEuDOHB1W2xioXvP8Puw+dg4ffHFKfY3e91FdfaSl2epbIiIiLX/729/w+9//Hi+88ALWr1+Pl156KeC2kiRhzpw5kCQJr7/+Ovr27QsAKCkpQVVVFX7729/i9ttvR15envoam82GhQsXYuzYsVi6dCkEQUCfPn3wyiuv4PLLL8ecOXNw8OBBdOvWLebHSmQGidCHGS6z/PYlikRX/N2mR19coH1YRUHv4jJol6gSpcM9WTqvIm2MfY/f85zlDegFADhzoQ0f7z8NlxTdunaBBPquGFVBG/Gd0EpVqlXJ3pmfjQ27jsHhcs/0yExPjfq9jW4IA72/3gHUWN6wRlvfmfEHQiyug1h910L9/Iz+rvsyQ/szZMgQ7Ny5E9dffz0AYPDgwVi3bh0WLlyobrNy5Ur069fPqCIaItB17FkvZaanorS8LuB1X91gx8Yam1+qY896DQCWVxzySg399Bt7vfYjBCkPhc+M9S0REZGvUaNGoa6uDpmZmVi/fn3QbT/66CPs2bMHM2bMUAN2innz5qG8vBxLly7FypUr1cefffZZtLa2Yu7cuRCEix15PXr0wIwZM7Bs2TJs2LABs2fP1vfAiEwqUfowQ2W2375E4eqqv9vC6Sfy7ef0/Nt3APJV/XvioM5lZdAuQSXbLDYz06sx1uqMVPa56PY8XdfVCfS+vmnI4llBGzkKKdCahFrlUCY0u2Rg0dt1GNkvI6ryGt0QBnt/vYIasb5hjba+C+cHQiKPlovVdy3Uzy+a90/kzz2YG2+8EXPmzMFf/vIX3Hrrrbj77rvx2GOP4eOPP8bw4cOxZ88evPvuu5g7d67RRY2rQHWE8j240NKOyvom/Gz8EGSkpfh9L5Q6R5mpDri/c2U1NgzsnaZ+R7XqpaL8bKyvtqHdKcFqEXD3NYNwZxKnQo63ZOuQISKi5HTdddeFvO0777wDABg/frzfc8pjyjahvmbZsmV45513GLSjLiPZ+jCN7uchilZX/N0WTr+TVsa2kk174ZQAqwise2CCGshTttMbg3YJTO9ZBMnaaRotPRtj5ZwtrzjkN/PLN0ofTLjnSuu7Es8K2uhRSKHeIFbWN8Hluriekh43X0Y3hPF4/3jcsIZS3wW6LkI9/0Z/T6MVq3MdyudX3WDH8XMtsIpC2LOGPQMwFlFA6bQ8zBqXE3F5zdSW3X///Thy5Ag++OAD3HrrrXj00Uexbt06r3XuhgwZgj/+8Y8GljL+fEeped7segbith48g8XTR/mdR6XOUbYTAAgCsK7qGGTZPeuuyGPdWM96qWBwJtYs8P8+a31vzPRdShTJ1iFDRES0d697lv6QIUP8nuvXrx+6d++OEydOoKmpCVlZWXC5XPjiiy8CvkZ5TNkvUbKI9/IrRjK6n4eSV7x+gyby77ZIPqNw+/t8+zlf+LQeSlzOKQHPfnIYK+dc47Wd3hi0S3KhfpETvbM6lmLRGEezT61zBSDsCiueFbQZRiGFcoNYOCwLKRZBTY+px/k2uiGMx/ub4Ya1szoslPNvhu9pNGJ5roN9fp6fvdUiYsZY7ZlLgdqjyvomNVDjlGSUbKqNeIZrdYMd967YjnaXjBSLgDXF441N0VlQgLffflv9OyMjA1VVVdi4cSOOHj2KnJwcTJ8+Henp6YaV0Qie3xlRcAdq7c0Or0CcYnPtCb8grmedY7GI+EF2L+xqsEOW3a92OCUIgF+9FCidRaB2lfdFkUmmDhkiIqKTJ08CADIztdu2Xr16obW1FadOnUJWVhbsdjscDgcEQUCvXr38tlfWOz516pTfc0SJqqv1KRrdz0PJKd7XUSL+bov0Mwqnv893ULpFFHD6QpvXNqe/aUV1gx1fnWuB1SLC5eJMOwpDOF/kRO+s9qXnyIRYNMYFgzNRMjUXm2tPYEpe/5D2qRzTV+davM7VxhobympsEVXq8aqgzRDUCUXB4EysKR6PshobBABFOqVMM7ohjPX7m+GGVY86zMzf01DrNCO+a56fvcslYWDvNM2AXaDZdIXDsmARBTg7hiZJshxxG1RWY1OD7g6XjLIam+nasm7duuHee+81uhiG2lhjQ2u7+6ZWkmX89s29+P0do5BqFb1m2gHAlLz+fq/3rHMutLRjxdZ6yB4vEgUBRfnZKMrP9lrfLtA9kVb9ASCp7ouIiIgoMi0tLQCAlJQUzedTU93roDc3N0e0vZYVK1ZgxYoVkRWYyADJ1qcYCqP7ecgYsZwJZ9bryCwZaKob7Fiy5YDaZ+D7GSnlzExP9VuCKtT+Pt9B6T+6qi8+3n8a37Q6vbZzOCXc89x2SJJ7wPjMsTlYrPPxMmiXxMK52GPdWe15gStli9XFrjWCP5pUa0BsUpGWltehrV3C9sPuzsFgZVy9oxElm2ohyTKsFtErBZ2M+HcsRpKe0+igTqh44xUZoz83Peows35Pwx1JFO8bqsJhWbCKAtpd7hFIWp99sNl0BYMzUTotT63jUqNog4RO/jYri8UCl8tldDHiZv2uY15/u2Sg9vh5r0Bc3YlvMCWvf8C2Ufluz3huu1cqClEASqflqc8r//qmpfZsKwPVH6lW0T1rTxCQmZ6q62dAREREiSEtLQ0A0N7ervm8w+EAADVzQrjbaykuLkZxcTEEIVHuZqmri8cAWLMEDqjrivVMODMOJFf6o12SjG4psZ39F+wa9/zsZQAivLOjeT4vye6+IM/ydtbfp7z3cY+JMi6XhNZ2F5wu73xAAoB9Jy+ofztdMgb0TtP982DQLomFc7HHsrPaN0oNWYZTkmM21dczWCnJ0aVa04tvxRNOOrjqBjtKNtWqs1CcLgn3js3BgN5p6jndWGOLSaUeaI2fSBopo4M6keKNYWLQqw4z4/c03Gn8hqQlEQQAcse//jqbTTdrXA5G9ssIa1FgrW2L8rOxvvpifViUn63P8UVp7969OHDgAJqbm9UUjl2ZUyPh+5kLbV4z3x6fPCKklLYuj32JAvCHO0ZpBvqC3RMFqj/ci027f6CUltcZfi9BRERE8devXz/U1dXBbrdrPn/+/HkAwGWXXQbAnUYzNTUVDocD58+f90uRee7cOa/tiZJBrAfAdrX0mxRYPPvotPpyYzlpIpLrKJafh29/tKM9dhNFOrvGPT97UQCuHX6JV5+B79pynjPxlOcLh2WhcFiW+phWP7dVFNR0lylWEVPy+mN7fZNX4M6vN0MALrRoD9SJBoN2SSzciz2SzupQKgffSg2A5jRWvRQOy4IoCJA6OkYlKfJUa3pUflprLIWTDs6/U1LwS9sYi5ujQBWmGadrx6qR4o1hYjFjwE0P4QzAMOL6rKxvgtPlHoTgcmm/Zyiz6UI9f8Guy4LBmVizwDyzJevr61FUVIS9e/cG3EaW5S43ijrVKsLRLsEz6/vH+09j9Y5GlJbX+Z3bQHV84bAsdEtx70sUA8+sV15fMjXXL02G5/O+j9ubHZBkOax7Fg70ICIiSi6jRo3Chx9+iCNHjvg9d/LkSbS2tqJ///7IynLf21osFnz/+9/H7t27ceTIEYwePdrrNUePHlX3S5RMYvl73Iz9UBR/8eyj03qveMyEC+c6ivXnUVnfpPatA4AYILOSXu8V7BovHJYFq8X92Vstot8gX+V5h/NiL4PFIiIzPbXTiUReS75IMm66qi9a2l1q5p+64+fx2o7Gi5+DAK9sP7IMPPvPet0/EwbtklwsG81QKwfPSs3ScYEoqR1jVcGpncOSjNQU7+my4czk0KPy01pjafH0USGng9PqlAylszFagSpMs03XjmUjxRtDMoNwBmAYcX2G+p6dzaYLtS7r7Lr0bfeqG7RHRcfDgw8+iMbGRjz88MMYMWIEevbs6beNLMv4+c9/bkDpjPPa/EJsrLFhzY5GNXDX7pKxufaEem7b2iWUvl2HGT/MwaK369Tv15oF3kHazq4N3zaiZGqu18i6YG1IuNcTB3oQEREln1tuuQVLlixBZWWl33Pbt29Xt/F9ze7du1FZWekXtAv0GiIKzGz9UGSMePbRab3XwknDw5o0EesBnbH+PJTrznP5qVh93iFd40oAUZax/+QFr8+2YHAm7irIxpodjZDhTmF5V0E27M0OzYlEjo7+hryBvZA7oJdX3OLj/afhlGRUHT2Lkf0y1IxOakBQBsYOyUSbU8Ie23n/mXc6YdCOIhZq5eDbqaa8Npaj0LU6h8PtTNOr8gu0xlKo6eCCdUrGsoMwUIUZ67QH4YplI8Ubw64r1JureM2qCXUARsHgTJRMzcXm2hOYktc/Ltenb52w/+QFLNlyQHM9skDHEU5dFui6DHQulACNET799FO8++67mDhxYtDt5s2bF6cSmYMyms3z5lYGkNu/J3YcOavmqf/cdh57v9qrjmJzOCVsrLEFDdL68mwjHO2S12AZ5XsbqA0Jt73jQA8iIqLkc9NNN2HUqFEoLy/H6dOn0bdvX/W5F154AaIo4tFHH/V6zYMPPog///nPePHFF/HAAw+oWRW+++47vP7668jOzsZdd90V1+MgSmR690N1hewYZj/G6gY7NtbYIAO40yebWCDx7KML1icabYagWJdRL/Hs/+3svSrrm+CU3FlwnC7Z73d9weBM3JmfrS4fZREFCHCnrRQ7lnNRZ9q5ZEhw9zd8bjuPVKuIRbe5s/J8da5FDfwp6UAXThqOuwqysbpjtp0E9/ldcP0wfG47H7PPhEE7ili4a+b5drLFmu97htuZFs7xBWsMg62xFE5HfKDUmbHqIAxWYZopDWEsGymzBSgpPkK9uYr1TVgkN9nVDXY1vaAyKkjv761WuZQ6YfWORjz1hjsV5NaDZwBAM12hr3DqMq3rsrPZUkbp06cP8vPzO91OkqROt0km1Q12vzTRAoCMtBSvm2HAO+0EoJE/vhOebYTQkTrb83vWWRsSTnvHgR5ERETJRxRFvPTSS5g4cSLuuecePP/887j00kuxdOlSlJeXo7S0FFdffbXXawYNGoRly5ahuLgYjz32GBYtWoSWlhY88sgjaGpqwubNm9G9e3eDjogoMenVD9UVsmOY/RirG+y4d2WlOnNpw65jWFM8vtMymimI1Jl4DOiMx+ehdd3FKiAc7Br3/K0N4WI/gudnqwxiX1fViC9OfIM1OxvV/gSrKGDRbbkY2S8DS7YcwKcHz6h9Cw6nhLrj5zGgdxp6drOqj0sAMtNTUd1ghwCgQDiAceI+VEpXoUYege31TXCHA2ODQbsuIhYXlFkCGqEem+e0XkEQkJme2un+Qjm+UBrDuwqyIQB+a9FFeiy+xxTLURVmati1xPp7mAifgRHMPmorGqHeXMXyJizSm+xY3xh2Vq7NtSe8tt9cewKzxuV0Ooou3LrM87qsbrBjyZYDaGuXNNceM/L7WVxcjPLycsycOTPodj/60Y/w0UcfxalUxlNGqwVKZb3BI/WEVQQgCHB1rAt7p8fAl1B4thGZ6akoLa/z+p7p2YaY5b6IiIiIgjt69CiGDh3q9djcuXMxd+5cDB48WF13TjFmzBhUVVXhN7/5DcaOHYuWlhbk5uZi9erVuPfeezXfY8GCBcjOzsbixYuRk5MDq9WKCRMmYNu2bbjmmmtidWhE1ImukB3D7MdYWd+kpioE3EslhFrGePbRRfNe8RrQGayMsei3MyogrPzW3lhjw9qdFwf5KuvWLa84pP7eV/qGPLkkGbXHz2PWuBw8PnkEth06A5fHRmt3umfXiYKgBuJEAag9fh6l5XX4vvNLvJa6GClwoh1WzHY8hdPfXh2zgB3AoF2XEMsLyuiARjjHpkTcSzbVwiXJKC2v85uForW/hZOGBy2Db+qtJVsOqAti+u6vKEhnYyTniR2EZASzj9qKVqg3V7G8CYv0JluvGcKBlNXYAgbHAGBKXn91hp3ydyij6Dqry5SyZqanwt7s8Jph57lvETDVDKeSkhIsXrwYv/3tbzF58mT079/fb1S1LMv45JNPDCqhMZTzEyhN9JoFhV5BXiC6tNqe9ypa76fnvYzR90VERETUuSFDhkCWw+tqu/LKK7Fhw4awXjNlyhRMmTIlrNdQ15PMA2LNqCtkxzD7MRYOy0JKx6QKAEixCKYrY7SM7q+NVb9dvALCgTI8ldXYvIJt/Xt2V/v5PTP5+JLhHhysDCLPG9jLK7XlxX269yPLMlKsIgQAbe0SCi37kAInrIIEyE4Uivvw13Mj1NfPFD/Ef+n7ETBo1xWYfYRFNMI9NnuzA5IsB+xwjuSzUmfwtUuQAHx26Ayqjp7tdK2caI9F0dU7CJM9gGRGyVynAKHfXMXyJizSm2zP0Ue+tyqeNz0Awr5uVu9oxLqqY+p+LaL/jfWscTlobPoO79adxE9y+2HWuBwsrzikOYoO8A7EBKrLlGtcCRaKAtQyb6zxWAwYwKjsXii5Ldc038f29nYcP34cL730EhYvXmx0cUzDN2Dre74CPabXe5vl+0FEREREXRv7M+LP6GBKPOh9jHoHlgsGZ/oN1EzW82DUccWq386zDzxYFrtoBKsXBZ9tG842q/+tFbAThYtLbjidFyfajB+W5RW0s7qXu0OKVUTJ1Fx1sPj+kxcAAaiUroILIgRZhiRYcFb+Hv5gfR4AkIZWFFk+Y9COwmf2ERbRVP7hHltn22s931n5lMZwyZYD+OzQmbDWyonmWKKRTCO5kj2AZEZmr1P0EOrNVaxuwpR6pazG5ndT0tn1u//kBayrOgaXJGNjjQ2vzS8EAL9Zv4GuG639VzfY1dFLgPtG6e5rBmnOiFu1/SgcTgmrth/Fj3P7aY6iy0xPDfrj1LMMyjWu5hX3KHMsUxHo4d/+7d/w17/+FaNGjcIVV1yBjIwMv21kWcYrr7xiQOmIiIiIiMhI7M8wRlcYyBfJMQbqC4hFYLkrnAMjxarfzjOLnSRrZ7GLVrAMT0X52Vjb0d8VCll2r2cnSbI60WbHkbOALEMAIAhA8fXDkJPVA5trT2BKXn/MGpcDwP3dLy2vwxgcQLGlHFY4IQCwoh3/kfK8bscbCIN2XYCZR5FEW/mHe2xa2/s2Sp7PA6HNRikYnInHJ49A1dGzEa+VE6/zlGwjubpCAMlszFynGE3vgLgyk6ysI/i2/+QF9eZIuX4BeNVZJZtq1RFGjnZJndXm+WNQADSvm0D1Q2V9k9dNkUUUNNP9eqUL7ri5WjhpuN8oumA/Tn3LUDI112s2swB33nJ1/bNdx+DoyGWw96vzmP33SrXcyvkwyrp16/Dss8+iuLg46HYvv/xynEpEREREFBvz5s2Leh+CIOD552PfEUZkFuzPILNYvaPRr69B6QtIxMByMk1WiEQs++3szQ64JHcWO6XPSa/9d5bhqWBwJn4/Lc+r3ysYGcD864ai7sQ3XhNtAGCMcADjLfuQcXYSSrf3Rq7rS5xs+BJHz1+NIWmtONI0FNOlT/H71Bdhgfs1guDeJ4SLs/5k+M8A1AODdl2EWUcwRFv5R1IJe34WgTqoleeXVxwKuXyBKsRwPvt4nKdEbXADYQDJGGatU4ykd0Dc91rdWGPDuqpjFwNyHY+VdQT2lBl0ksf6HKLHDY7nj8Gi/GwUdQTPPK+bQPVD4bAsdEtxB85EUUDptDzNY8tMT1VTD0gy1FQJWt+XQD9Ofctgb3Z4LTjskgFJktT9rikejyVbDuDTg+4bsLZ2Cc99chiXZHTDhmobnC4JRmlpacGsWbM63e7IkSNxKA0RERFR7KxatSrqfTBol5jC6Zfp6h3pvszcn9HVz1VXOn4ls45nX4NnX4BRgeVIz0GyTVaIVLj9dqF+3pnpqRczIQFhp8gM9D6hZnhSZsIFCtx9r5sF37a5ALjTY2akpeDpqy/gHw1vYZvzSuwRr8Ro7MdLlsVIgRPyoY0YjctxTcoBCJAhblsLACgCcGdH5EzwiMr5ButiEbADGLQjg0VT+etRCXcWwAq3fNEEMuJ1Q5CMI7kYQCIz0Dsg7nutyoDXbDdRENwjmzRm0DmcEkTBO7gWaFBBsPdU6odQf0zamx0QAPUGru74eb+6TfnbM094Z/VuwWDvBYedkjtlgnLtT8nrj60HzwAd7/3+F6e8ymGUf/mXf0FdXR3GjRv3/9k788Aoqmz/f25VJ2wGCOgAEhZRAgzgAghxFFzABUUZUUdFR51RwOe8eY/fDPNcBxF9+J7zZoZZ3HADFZdRGREUdEBUQNYEGcIAESEJAQSEsMjW3VX390d1Vao73Z3u9Jrkfv6AdFd11a1bVbdOne8950Rdb9asWUyePDlNrVIoFAqFQqFIDUuWLKn3b6WUDB8+PImtUaSDePwyypEenmz0ZzT1c9XYjz/0HT00s44mRNy+gFS0sb7noLEFK6SDePrb7fcRgc/RthvqD4q0n1gzPAGU7joUMUWmW7DL9WgMP6Wc3h/fTi/9JP+hCbxtzgCg2SEfGhKJyRBtMxCIpAscmAbIQERd0J5cH2QKHU9KtFPUSSrFpEQG/2QMwnUJWI0xZWU2z+SKRCzXYFOaBaXITpItiIdL1zunpCoo2q1XxzzmlFSFjaDLb5lL9TEvxRXVzotgpLpxbhEv0vgQy8tkaP26t9dU8k4g2s1OdTl1/sagsQ6sqGb3/sYMKEAE/reXf3fkZNC+3LOZSncdIhQZZr1089e//pVx48Zx7733cuWVV6JpWtj1HnvsMSXaKRQKhUKhaNAIIbj44osz3QxFmonHL6Mc6Q2Hpn6u0n386fRnhfM/1pVZJxPCciLnoDEGK6T6GgkqdeIzmb6ojIkjCiNmWLL9LRI4ctwXsc2h11q082pfhyd9JkJYaS3D+bDyW+bybnFVVK1MABeedSoTRxTSu/JlMLwIaeIBPIe2Om23S7DYkXR24qrQKDp3dN1+sxW5wuQUcdwS9kiNbqdEO0VU0iEm1XfwT8YgHIuAlY7ouXQbBNk4kysSsVyDjX0WlKJhkApBPPReDbf9SPuMdk9Eu2eijQ91jWkDu+Vz48AC3lxVGYgMBH8glaXXb7KgdHfQWPdeSZVTty+cqNf39DbOZ4+u4dEFhiEdgdJu07vFVbXaogkrPaiMsUBxKigqKsLr9TJq1Cg0TeO0006jefPmGWuPQqFQKBQKRapo165dVmxDkV7i8cs0Rkd6Y6Wpn6t0Hn9d/qxkizXh/I+/uPSslEzuT6TtiZyDhhisEI10+Dzt/vb6TExg+dbvWFN+wNmX+1yGZlh6cdl2Lu/bsVabwl1roec1v2WuM4kbYFjP01i8eS9SSmauKHe2a/eBLejJKG6eAaKMH+mbuLHLOXSvXAYt2oOeC/7jwStK+xgECBk04Tt08rd7f3naSR713cmjOa+Rix8/4SdnJ4oS7RRRyebZNckahFOV49c9oOiBmSp23t1QmrpBFI1YrsFsvk4VTYtUC+Kxbr+ueyKWe8Y91oGVjvJdV9RcJEPxhgEFTvQfwhLuwKpx17dTa9aUH8DrMxFC8N2Rk0HtcIt6Xp/JjC++4aTPtARAw+SWwV05vW2LWnX43HXrOue3oG+n1pya1wyAt1ZXxtXHyaS8vJxu3brRtWvN2C+jWZcKhUKhUCgUDZR9+/ZlxTYU6SUev0xjc6Q3Zpr6uUrn8Ud7N0+FWBOtJEYyj9Pddo+ucePAAm4YUBDzPhI9Bw0pWKEu0uHztPt7+qIylm/9LmhfEDwpfPKovuiacOrJmaZ02uT2I0UqfWKf1/yWuUGTtJESnyEdMdB9rCu37Xd8Q5FcKromOJctvJ4zjWbCi/jybStiTvPABf8O+7+GzR8CgUi6gPJoArpru07UXeAfIWrSZgoBujRpJ77nNu9DFGmbWGn2CbTgV0k8I0q0U9RB6A125LiPn760ipH9OkUUoGwSnQ1SXFHNeyVVToq0ZEfBRdtvaLvdIbjhUruFO073gOI3JZPnltKrY17E42jKBlE0YhE0leipaKpEMuLruifqWh5qYEcznuz13ePX7HuKeK+kirfX7MCdKCCvRQ6TR/Vl8txSTCn5rGwfHk1gmFb03Mh+nVhTfoCTgdldFfuPIbFyidvRdaHjY37LXIRrqtXO6uPsPnjcMSZzPamZ9RQr27dvr3OdSGkzFQqFQqFQKBSKbCcev0xjcqQ3dpr6uUrX8Ud7N0+FWJMu/2NQukW/yZurKplTUhWX8Fjfc5CJ8jmp3Ge6fJ4Du+UzcUQha8oPBO0r9DqsPuZl6uh+TJ5bimFKNE2Q3zI3rH8q3LVmn9enl2wN2i4ElzlxH2t+y9yg4nIC6Na+Je0OfMUYfSmncoiCdi1pL/fT7IjXSlsZENmk6Ud8+Rf4+ULrx5s/tDYl7U1aUXZ2qkyoEfBMQHOJhH4p8OFhpdmHEllIiVGY/BMRIKJop+t6whsXQuD3+xPejiJzuAfzI8d9PPfFNgCWfv0dQEThLtHZIG+squS372/ACNwY7xRX8ea45Ib/RhLnQtsNNTMKNGE5lyXhU7u5Rbz8lrnBMw+krPWADW1DUzaIIhFrClMleiqaIpGM+LruibqWh24XIhtPoePm5FF9qT7m5bsjJ2sVBs5vmcvGQMFgCfj9Jv0L2tC3c5ugWXePvL8BKWvyiF/Y89Sw+dSLK6qZOn9jrf24jcnZ9xQx6Il6d3FCTJgwIab1Hn300RS3RKFQKBQKhSI72LZtG/Pnz6dFixbcdNNNtG3bNtNNUigUiowR7d08VWJNOvyPdtud6CjSVx8w3eVzUr3PVPk8w/nFI+0rXMQc4EzInjp/I2MGFAT5keaUVAOqvPIAACAASURBVNXKlOTGfX3rgcnihinRNcFNg7o4k7aLK6qZMm+jI6QNEGXc6FnGVdoO2uZuqUllebhG13MEO2lH1Bmw8AE47w7Mrxdj+k9Y0XVYUXZ+KTDRyMFw9vOsfxSLzEGM0ZcCUGp2p5343hHsbARWlF+yiSjaSSnp1q1bvTcspWTHjh31/r0ie7AH85++tCro+wWluyOKdonMBimuqLbUepcPNtkDe6QBNVy7Aec7sAYPKa2oEOFaZg9I77lEvHsuOoMXl23HlJLckAesqsMWO7EYFEr0TC6ZmJmkiJ9oRnxd90S05bEaT1C7YLFttIUrJffysm2UHzjmCIAmsGHnIbbsOcINgRp11ce8QekOdE1ELIBs7zsUTVDLmMwEzz77bEzrKdFOoVAoFApFY2PZsmXccccdAHz++ed06dKFNWvWcMkll3DixAmklDz++OOsXr2ajh07Zri1imxGvZsqGjuR3s0b8gR1u+1zSqp4Z+0OJ7tOqjNjZaJ8Trz7rM+Ylsr0pW6fdCQhb/Koviwo3c3Ifp2c76uPeR3fj89vIiDIj/TO2h34TRnR5x16fQO1/gbYvm4J98iFrBRWGsq3ch8nRxiIIyBF7fpzQNi6d3JnMf6d/2QaP+MScwUXaaXoQuKXguVmP3bIH3CL/imewHff08qKpvOHj6bTBYwb2oO8FjkU9WjPoCfrcyYiE1G0E0LElNIpGsmI1lNkDyP7dXIi7OzPkUhkNsjKbfsxQ+6sZA/skQbUSO12f2dHkbjrPNnLJMEiXl6LHN6ecEHE9JmqDpsiG1GCcmyk8+Ux0r5SZcRHM55C9+EeN4UQEQU7gK37jtb6Ltw43CzHKoCsBeqBRhMXPbq1b49uCYr9Tm9D9TEv+S1zHSMvXRw7doyWLVtmfBsKhUKhUCgUmeb111+nRYsW/OUvf6Fz584ATJw4kePHj3P33XfTt29fpk+fzlNPPcUf/vCHDLdWka2od9PGjRJk66YhT1C32z5mQEHaznMmyufEs89Ex7Rk3TOhk6+nLypjZL9OtUpC2UKe/f2a8gNO6afQ4x4zoMA51zsPHuet1ZWYEk76TKbO28jka/uGFe6CfFza1+xb9nsWbdrLp/6LWKprvJ4zDTxefHj4xuxEDoYj1IWNb7NTNomgjJoIwCN9nGl8w5+MGxicu4Uc6ceHhz/5bwDgBn0pBL6rqVVn/VYLBPHUp0ZjfYgaaZcoydiGInuwo+psZT1aTbtEHMn2Te8NqPTD+3RgwsVnhk2LFm77sQxg0QbUGwYUIAP/27+Pdiyhju05LhEvWtpLVYdNka0oQblu0vnyWNe+UmXE1zKeIuzDPd7bdT/tFBjRyNWtar6GUbsAdlzPj4CtIagZt4Nq8qUgTUEk8vLyMAwj49tQNB2Uo0OhUCgU2cry5ct5+eWXGTJkCACbN29mxYoVXHXVVbzwwgsAnHfeeUyYMEGJdoqIqHfTxks2CbLZalPH2q5sbb9NOoXHRPzR9e3HePZZnzHNbpftb0nGPeP43n0mJrB863es+GZ/UEkou23xlmUZ2C2fN1ZV1tSHA9ZXHeJ/X5jFH4d8T+dzr4Aug51j275uCRfo/6Jzcx8sn86pwC0CfpKzmDVGLzTTiyZMNHz01SvCHo+t0zm16GSYaDuXa6hEFnKb9yGKtE1B6S7DfWdjBvrGMEw6t22R8ms6omj361//OuGNJ2Mbiuxi7JCuUcU6N/EOyu7Bsa7BLloYbywP/XADS+hv7VRtdR1L6LJYB+qGHOauaNw0VkE5mYZsOl8eG8KLqnsc7NUxjzklVby9phLDBF2D7qeewta93zvrn1PQhsnX9gXCR/DF+vxYuW0/fttwMmV4o9JI3wQiNeFJkU4i1ZPMpE2R7Q4DhUKhUKSP8vJyzjvvPOfze++9hxCC8ePHO98NHjyYqqqqTDRPkSXUZTs01nfTZJBquyvV20/3e260if/ZIh66ibVd2dr+TFIfkTDRfox1n/GOae52aa7MRoneM7ZPevqiMpZv/S5sSSi7bfGWZbEj89yumAGijFn6NJoV+2H9X+HODyg2e/K7F19lljaVHPxOqkuB9Y8mJUP0zUgECA3N5SuRIX/YAp1E8Jz/Go6KVvQX33CFthYtsMyU4MPDHGMoYAl3JUawMLe12Q8pOWF9pwnQhNUfuhZ+0nkqiSja/e53v0t448nYhqJpEG5w/MWlZ0VcP9LDPZGHfiy/DfeQD/0unodDXeu6t223MRkGk3KqKaLRGAXlZBuy6Xx5TPa+3LO0lmzZy97DJ7j5/NgnZITb3pySqqAIZXcKjPyWuZTuOkTF/qP4Dcv4c6dFSMV5yG+Z66ToTLcE9tprryUkvAmRvshARcOluKKa6YvKnKhWdz3JTL2sK4eBQqFQKNy0bt2aPXv20KVLF8BKl5mXl8fVV1/trHPixAlatWqVqSYqMkwstkNjfDdNBqm2u9Jh16XznTra8WTrJNlY25Wt7W9opKsf4x3T3O1CSjRNIEhOfcCB3fKZOKKQNeUHwpaEcvtsYgmusZfbbXYzRl9KM7xoAMZJWD6dvKp9TJSHycVviW6u9aUrUk4gQYJpyXeBFWCOcSGtOMkIvQSkiUTnt767eMscDlhC4cW5/yRH+jHQeMe4mDnG0FoRdHYKzVyPxgMj+zB1/saIJbLS+SyKKNqF8sUXXzBs2LBUtkXRhIl3cIz0cI/1oR/ugV3Xb8P9Bgia8TB1dL96O76jtdETUPT9RuIGk3KqKWIhnekL0kGyDbB0vjzWta94RPjiimpufWFlLQNqfdUGgLjHr9Dtvbt2B2+OvyDo+nGPY2OHdGVMEvN+D+wWviBy6a5DSdl+fbjrrrvq/VspZdaLdocPH+bRRx/lvffeY+/evXTt2pU77riD+++/n5ycnJTtt7FNNkkkxbf7OS4BDSu/fuisS0jvS4VyGCgUCoXCzaBBg3jwwQd56KGH+Nvf/kZZWRnjxo0jNzfXWeejjz6iW7duGWylIpPEajtk67tpJu3TVNtd6bDr0vlOHe14sjWaM9Z2ZWv7M0Ei92Q6+zGeMS20XcnOrhLrfRitzaF+5rsu6M65lFGkW2kmC8UObtE/xXF1SBO5+UN6SkCP3DZHuMMS7DTAL6FSdmCGf1SNOGeUhU1puS5CCkybdq1ymXRFL3p1zAs6/tDPof2QLmIW7S699FJVY0WRMuIdHKPlzY1lsAn3wP7FpWdF/W243wDOd6aUTJ5b6hTkTJTa6d1q5xVOeLvKqdaoaGxO7WSSCgMsnS+PkfYViwjvvi7mlFTVEuxsFpTuDhLtYrmeVm7bj8+1PZ8hg8YU93hjmJLTk5z3O7QgMkD1MS/fHTmZtH3Ew6OPPpqR/aaLw4cPc+GFF1JdXc1bb73FwIEDWbhwIXfccQdffvkl8+bNQ9ejWN31pLFNNkk0xbf7vtIEXHjWqUFFw4UQfL3nCH/8R1lckXeJPkOUwyB9qOe9QqFoCDz00EMMGzaMN998EyklrVu35oEHHgCgoqKCZ599lqefflqVVWnCNGTbIdP2abL6LpJNka5zk6536rrS+6VLPIzHhotHTGkI0ajpSOeaaHrLbOzHdLQrlvsw2vkL9TOfLF/Jm7lPkIMV4aZj1qS9dFGr5lwAKcHEmpxqLzfQMLHSW07y/VuQABcuzaVNn8EjKDj9BoYf83Jjy1x+O3eDU8blhTsGhc0AlS0TRWIW7aSUPP7443WmfMrNzaWgoIDLL7+cDh06JNxARdOgPoNQpJso3Pehg0ukB3a0GzPSb+ycwmAVpUyWCObeXzJz5zZkw1gRmXgNlKbm8MtWAyxR6hLhQ6+LoT1Pi7itkf06RfxdpOupqEd7cjyaIwTqGuw6eJziiuqoY2004rk23cfvTg+oa8LJW57j0ercZ7Jo7KLdww8/TGlpKR9++CEXXXQRANdffz1Tpkxh0qRJPP/889x3331J329jmmwSmtYyWorvOSVVMTlRJo4odJZPnluK35S8/9UuZ31vDH2WDMdTYx1ns41MOwkVCoUiVoYMGcKKFSt4/fXX0TSNu+++m+7duwNw4MAB9uzZw4033sidd96Z2YYqMkZDth0ybZ8mo++i2RQN4dy4yz7UFXlU1/Gkw0lfHxsu1nZli8gQiXTYr8m4JxMVr1JFuq7PaNmdwp6/HauhfCnDTzmHv3g0+hmb+ZFnMzex10l5KaQJorZgB8EpMB25KbDiN2ZnFpnncZW+hoXG+SwyB0WMmIuEAE5v28KZnF5cUY2uaZimia6lz09UX2IW7QCmTJkCEFa4s9M52cuaNWvGE088oWZNNQLSNSDFIrbVp52RBpf6iIThfjN1dD/LUWxKcnOSJ4KF7g+Sk+aqIRhfiviJZKBEqsPYFB1+2W7I1oe6RLHQ6+IHec3I1QU+Q6LrgvO6tMXrN2vVtIsnVc2b44qYU1LF3iMn+bxsH2+uruS9kqpaY21+y1wnQjnSWJ/fMteJForl2izq0R6PZh2PEDjpAc1AxWOPJphybV9u++96d7EiwJEjR3jxxRfp1KkTI0eODFp211138Zvf/IY//vGPKRHtGstkk3BpLSOl+NZ1jXfW7sBv1o6Ui/Qcrz7mdSYRudGEqLPPkuV4aozjbLaRaSehQqFQRGLfvn2cdlrwBLEBAwYwYMCAWuued955vPLKK+lqmiKLaai2QzbYp4n2XV02RbLOTSSfRGhd9Hj9f7ZdbUrLOd8sJ/r7Y6avtaZqw0WbtJhM0nFPNlZfWl3HZV+751LGBXIT29cdZ+C+w/DRr0Ga9NabseTcO/lB6Qto0kTs05C2ShdBsLOxX19DxbuXjat4yxzOU8ZYZ90So9CJ2JPYolxzWuR66HFqK1rm6nzx9T6qj/oAq4REfsualNwrt+3Hb1jXoWFk/z0Ys2i3cOFCJk6cSLt27Rg7dixdu3YlLy+PI0eOUFlZyRtvvEGLFi24//772bVrF/Pnz+f+++/nrLPOYvTo0ak8BkUKyeSAFM++61NUtj4P7HC/GTuka9R8t4kQur9w266PqJppY0WRfMIZKJHui6ZqLDZG6hLhQ6+LMQMKGDOgoM4xIx6D1x5Pnl6ylcWb9oQda8FV207XuHFgQdDLmbs2qGHWTgUcaZzb8u0RDBkw2DSBLgS+gCAC1kSi6mPeRLpYEeDTTz/lxIkTDBkypFbdvfbt21NYWMiWLVsoKyujsDC2mW+x0lgmm4RLa+mOknMf586Dx3lrdWVcThT7vvX6TEyslxhds+rt1tVn2eB4UsSGOlcKhSJb6dSpE0VFRVx33XVce+219OnTJ9NNUjQRMhX50tDt00yJHECtuuhTrusX1+RNt10NpFQMShap6O9Er/10pqwMN2kxmaTjnkymLy2bsl/VdVxFPdrzgOdN7tHmI5DI9e/CekAGyqj5j9Npw3PO+jLwvXs6qS2y2X/LwDuxKcFEAwkmgo1md942LnHq1bkZO6Qr/U5vw5R5G51rat+Rk7w5fkBQe99YVelkYZo6f6NTxqqhvUfFLNp9+eWXjB49mieffDLs8vvuu48HH3yQTZs28ctf/pI77riDyZMnM336dCXaNWAy5dy3Z2LEuu94i8ome3DMlAjWWGd5KOInnIHy9JKtYe+LhvagUkQn2vgTyXCNJQ1HJIO3PnUPgtJY+k3eXFXJnEA0XvALl5XaUkpZp/hcXFHN5LmlGIE3NdOQ/GRIFwTwztodGKZU13cS2bBhA4CT1iqU7t27s2XLFjZs2JB00Q4ax2STaGktbezjtGcfxzNOh0a2xlOgvDE4npoK6lw1DLLJEaNQpIvHHnuMefPm8eCDD/Lggw/So0cPRo8ezbXXXsvQoUPRGkAqKkXDI5M+kWyyT+s7mTsTIgdQqy76gtLdMWcOAtdkNXtCHKkTg5JFsvs70Ws/3Skrw01aTDapvieTWUsym3y5occ1/JRyWDoXWrSH4/sZuHczA/R5gCW8CVusC4N0/nFFzwWi7Wrq0wkMdHRp4sPDY76f0k58HzX15b3DevDA1dZkoNJdh3hzVaUVMRemTJWdgSbchPKG9B4Vs2j3+uuvs2rVqqjrTJo0iYsuuohf/vKXANx99938+c9/TqyFioySCed+cUU1t85YgTeQ3kwTdT984ykqC2TV4JgIKmJK4SbUQIlWu7EhPajqi3KYWdTXcA33u/rWPbCvRTslhnsmZOh1OnlU3yCxIZL4vHLb/qBUgJomnOi9WKIJFfHx7bffApCfH74/27ZtC8CePXvS1qZoZOP9H8/YW99xOpEX1WxyPCmio85VdpNtjhiFIl08/PDDPPzww+zZs4cPPviAefPm8eyzz/LHP/6R/Px8Ro4cyXXXXcdVV11FXl5eppuraCRks0+kLns0WfZqtOdOXftIxKaIpf2RfBLuuug5umBkv06sKT8QU+Ygu93RJqvFU+8uXST7/STRaz8d904skxbjIdPveMnypWXbuOU+ruGnlNP749vBfxKoEdejpbi0saPp7KwvjkgnrYSWAsEaoxdPGbcARKxR1zxH44TPDPqua/tWzt83DCiIOsG1Lo0g02NBrMQs2lVVVdGsWbOo6+Tm5lJeXu587tSpE16vSkvVkMmEc/+9kipHsAPo37kNk6/tW2/nVuigHskBHCvFFdW8V1KFAMYEHMSZQkVMKaIR7b5oSA+q+qAcZqmhvnUP7GtxTklVrSi4up4zkcY59+xKTQSnAHRHKz29ZGsKe6TpcPz4cQBycnLCLs/NtXLFHzt2rNayGTNmMGPGjNQ1LoRk3P+peiGMZ+xt7OO0QtFYyTZHjEKRbjp06MC4ceMYN24cx48f55NPPuGDDz7go48+Yvbs2eTm5jJs2DAnCq9r1651b1TRIEjEfqrvb7PVJ1KXPZrM99Vo9e0jlShI9fHZRHrXs+uiu2vahZadqct3F8lWrk+9u3DbSOa7QDKi4kLbk+i1n457J5k+5Wzx8STjHS3t49aO1VC+FLoPhS6Day9b/icGHtnNwPPugA1vg/94nZv0ixx06Qv+UoIBeMnlFf8V9NUqWGBY+3s8ZyYCk3P0bWBAiSykxKgdVZejCyaP6svD72/AXa59Qeluxg6x7IW6rqvGEqgQs2jXoUMHZsyYwa9+9auI68yYMYMOHTo4n7du3Rr0WdEwCXV+pvKCL66oZuPOQ0Hf9evcJqb9uQdO96ya0LzYiQyOoVGA7xRX8ea4zIkBjWUgUqSOpur0zWRq37jvx2gGVJaRyPhpX4vhouCiXaeRxrm6xj+3Ua9InBYtWgDg8/nCLrcnabVs2bLWsvHjxzN+/PhatfBSRaL3f7a8ECoUioZJtjqQFYpM0KJFC0aPHu2UTFm5cqUThffLX/6S//iP/6B///6OgDdo0KAMt1hRXxKxnxL5bbb6ROqyR5P5vhrpuROtREGi4sn0RWVOFpX6tv/0ti2ivhPW93maaL27VLwLJHK+I7Un0Ws/XfdOsnxSjWlSVKx9nxTxeMdqmHUdGF7Qc+HOD6zvy5da6S8//FVNbbqdxVE35a5Rh+nnWf8o+moVfCdbc6o4zEazG9/TqiZ6LrDZ+/S5CCS6kORIP0XapiDBzqMJ7rnoDPJa5DjHWrn/KM99sc1ZZ2S/TkFtqeu6agy+0JhFu9tuu43f/OY3rF+/nptvvplevXrRqlUrjh49yubNm3n77beZPXs2Dz/8MAD79+9n0qRJ9O3bN2WNV6SPaDWFkp2P+aQrBNajC8YMKIj6m9D9u9uqCYFhyqCH9C8uPaveD6aV2/bjc0UBZsODojEMRApFsrEN/H7GZn7k2czwU24CzkrpPuM27neshvVvwLo3wPTXGFDZJNyFCIrJMOzrM2ZFi+CLtK3QlzVFYnTs2BGA6urqsMsPHjwIkBWTtRJ1mDemF0KFQpF+stWBrFBkA0VFRRQVFTFt2jS2b9/O3Llz+eCDD3jyySd54oknMIzIdXIU2U0i9lOitlc2+kTqskeTOcEj0nMnWomC+vaX+51XElxLri7/nP2ODLGVrKnv8zTRenepeBdI5HxHa0+i13423juRaGyTourq+6SJx+vfBP8JQFr/L/8TbF1siXhIkMGTnO0Ul+7PoR+EAB1Ja3GcO30P1tmElWYffHhA+vHhYaXZByFgwtAeQUKdmweu7kPX9q1YULqbkf06OVF2TYmYRbtHH32UkpISXnvtNV5//fVay6WUXH311TzyyCMADBs2jE2bNvHCCy8kr7WKjBGpeGwyZ5/Y+3APCFqUWfmRBrBgR61E1wRSylo1verT1qIe7cnRhRNp19AeFJnO/6xofGTrNTWwWz7vX5fDmQuexCN9iI/nQsfUCmJxGfeB2U4yYDwJsIym8qXBbcxkFF64GVkB4S4T5zrStRatOLlHE0HpljPB4cOHAWjWrFlQmvFt27bRtm1b2rVrl6mmxUX//v0B2L59e9jldnp0e71MkqjDvLG9ECoUivTTkJxgCkWmOOOMM5g4cSITJ07k0KFDLFiwINNNUiRAIvZTMmyvbHsvTXf6tnDPHXsfoSUK8lvm1juLlvudVxNw4VmnMnGEFTFTl3/O7UuM9b3Z/t7+XV3tta8Du056fWrapeJdIPR8AzGfA/VuYtHUJkXVSzwO9R/tWA3rXqdGepOweX7Enwfc6EF+ebdb3q5VFy/rZCH/2ewxzjr6lROFd/kPO/DA1X2i/m7skK5NUqyziVm0a9asGQsXLmTWrFm8+uqrfPXVVxw+fJg2bdowYMAA7rzzTm677TZn/Y0bN6akwYrMEO4hkezZJ6GzgAAMI/J2I+0/tK2TR/WldNchBLDl2yNBA3y8ht3Abvm8Of6CrKlpFw8q3ZciWURLP5tN11TvE+tB+q2ZQ+EEsSQTlzFdvhRpnEQgkRJMBOg5aN2H1qyzdiZ89Gur/XqzpEXhRRz3Qg288qVWv0kjtf0XgzD5ycIP+Oey+Xxp9OEvnt5B0d7RipPfNKgLb6yqTH6bY2ThwoVcc801ANxzzz08//zzzrJ58+Zx//3388QTTzBp0qRMNTFmLrvsMpo1a8bq1auRUgaluty/fz9lZWWceeaZFBbWzkufCRJxmDe1F0KFQqFQKDKJrusYhsEtt9yS6aYoEiAR+ylR2ytbfR3ZkL7N3oddoiDWd/hoEyPd77wTRxQysFvk+nOR3pFjfW9+Y1Ulk+eWYpiyzrp0yboOUvUuYJ+LeNup3k1qaEqTomLyL9m+lL2boWIZHNljfa/p0PMK2P3PQERd7Qi6SAhBUC05999+dAB0aeJHZ44xlHDk6oLT27Zg18HjzmSBS4aPYsoH3fFJSa4uuPfiM2NoTdMmZtHO5s477+TOO+9MRVsUWUykh0S8sz2iiWT2Pt4rqeLd4ioMI/p2Qwcw92yh0BksU+dvdMRAuwjt5FF96yU4NNSHhEr3pUgGoelnTSmz95rqPtSKELMjxbqHNyiSRVzGdPeh+EUOwvRhoPGucTHNzrudG23RasdqS7Az/dZn46QjmiVa4D3sC0JIVN3mK1+ndP8ZjNFy0ExS138Rovncx9hqbzFDV9zNZbqfX+gebvc+xMptPSPO3HT3yZgBBbxXUpX8dsfI7Nmz6dixI3/+858ZOXJk0LJ77rmHvLw8Jk2aREFBQdY7qvLy8rj77rt55plnWLBgAVdffbWzbObMmUgpmThxYgZbmFwa6rNeoVBkB9kW8aFQZJINGzZQVlbGsWPHkDKzGRAUqSXRSVPulIrxjKFN1dcRTz/Z/RtJXAvdbrSJkdFScYb6ByOtH2s9r8lzS/EH6h14fdHPbTKvg1S+C9SnnbG0J5O2h7J7kk/Ye2fHanZ+9QkrjB/Sr3Nren98O/iP1/6xYTgRdXb0nD3nNpx4534yS1kj3Nn/75Cn8YV5tiPSFWmbaurWhcFnSL49fIIp1/ULinTt1TFPXSdxELdop2i6hD4k4p3tEa0unjtybdr1/bkhMAso2nbd+w83W+gXl1r1q2yjxBUMjNdvsqB0d5My7FRIfeMnHYZSUPpZKdE0gUCm/pqqT5rILoPhqv+BTXOhz+jYBa8dq62830g4Z2xc0WVhjWm7dt33++CU05xtfjPyDT6a9w5f+ntTqvdm9nlFNb8pXwqmK7e40Njc/Bxe/fsG3i2uwm9EmWwQpa/s83cuZVwgN3Fo2Qao1OHQDieqThpePpr3Dn/1Xce7nof4/eAjdD73CmsDS3+fWKrOaNF8/pPw2ZNs7v0LbvvA54znf+q8hLPw4xEmSD8X6Jso6nEXUPe4Zj8nBj1Rv+Ymyrp163jxxRdrCXYArVq14uc//zlt2rThqaeeynrRDmDatGl89tlnjB8/nrfeeouBAweycOFCpkyZwhVXXMG9996b6SYqFApFxsnWiA+FIt1s27aNMWPGsGHDhojrhEbvKxT1GUOzydeRjnfy4opqJ+Wl35RxPWti6au6RKVoqTjjFRHt4wn3u5Xb9mO6hH5NE1HPbTZdB9FIRTszaXsouydF7FjNwMqlDDxrKHAA5r+BWTKbjoaP0WiUlPREasfrjJ4TgX/sW0kIl0jnUus+NgaxTXZknGcBQhrogF8KfOQw0feLIIGuxKj5O9ej8fMfdefFZdsxTBlUP7P6mNfxzYOaGBsvcYt2ixcvZubMmaxdu5a9e/eyf/9+Vq9ezSeffMJ//ud/kpeXl4p2KlJIIkZF6A0XbVuRclnfOmOFU3PoneIq3hxXFPONHMtsoaIe7Z2IIBtNCEb268Sa8gNZ/0BPFo0hpF7N3olMugylcOln480R7xCrEGeniTRN8MSRJnLHalj4gCUKVayg/MBRPl/2T5b7e/MXvXdkwWvmKCuyDWDdbBj5Ozi+P7iddttbtA9eFnpMa2fC/P+Hlf2boG323rOe9n00zjV99GpdTGetPRDYfveh1rH6T4KmUV40lR9/4OOkr9Kxq4LGOnd77GN2Ra7Z5LfM5VzKmJ07ZCESEAAAIABJREFUjVy8aF8DXwtrXU0HEww0fmDu41zKWOMv5P1TejH823LOXDDWqg8YR6rOoHtW+7p2VJ0dDek/afXRts84c/tyrjdvJ1/7nlX+Piw+3pNhrqLFZ180qs6Znm4yOVZUVlYybNiwqOtceeWV3H333WlqUWK0adOGL7/8kkcffZRbb72VvXv30rVrV/7rv/6L+++/H49HzQVTKBSKphrxoVCEcu+991JZWcl9991HYWEhrVu3rrWOlLLB2EGK9FDfKKRs8HXE+k6ejMwp7rIy7n6Ktu3Qem+R9l9fUSmcH6+uPom23G6HneVn6uh+jSKNZCramUnbQ9k9wSTFb+n4pazUlpbSZiKwaklq0mCw2Bzx5/bYEC6iTgKG1HnBP5Ie4ls6iGreNi7hLXM4AIvMQRRpmzggT6Gd+J4dbQZScrLA2YauCWfCzfDeP2DCxWcysFs+l/ftWKt+ZmP3s6eamL0rUkomTJjASy+95KQ0sGdENW/enKeffpr333+fxYsX06ZNm9S0VpF0okW/xTvI1PUwjlQXz2fUiGluMS+e/bsf5kII8lvmOssGdstn6uh+Th5sXbMe9mOHdHVCc/Nb5sZc2LYh05BnNajZO9GJyVCqT7RaCAkbmDGKS0Hru9NE+k/AZ0/CJQ/WFtBCj6t8qSW+SRPpP0HBl48wUZj8R47GZP/PnBSLQdiRXzaGt0Yw1DS44N/h5CEoeR1MPxKJRIDeDG3k/wYf01X/Ax+GCHaAaXgR8ycikJwGXAaAgPV/remHLoOtvwPH9eHWdnj9WzhPlDFGXwrAXDmM/Jb9YcdqzFeuAdMLCDQAZNg6dNXHvIzX59MML5ozwyqwbucBkNcRrewf3KIv4QZ9KU8Yd3Dh7lWs27yRs4QPIUyk4UWsf7Omz+1+C/m72OwZdM8uHlzM6cZJhAxso3wpDP21dZyfPQnbPgNp4pE+pnpmIpD48HD7voe4Q3uYa1tvo+PZI7jiquuc4wl9VmWbsK9pGkePHqVVq1YR1zl69GiDmmHepk0bpk+fzvTp0zPdFIVCochKGspMf4Ui1SxbtoyFCxfWOYHp5z//eZpapGgIJFMwSjexvJPHImJFer8BmL6oLEiwE+D0U7Rtx+NPSaaoVFefRFten3Zkw3VQF6l4Z82k7dGU7Z5w92vcfsvQCeEt2sOy39dMJIegwnJB6Svt7wj+O1S1s3/+nDGKtm1P5d393SOmtiyRhU4kXa4umHJxPz6et9E5v1OuDS/62/femBgy5yliI2bR7rnnnuPll1/m9ttv55ZbbqGgoIBzzz0XgLPPPputW7dyzTXX8Mc//pEpU6akqr0K4h/g6xP9Vh9xJJYQenc6S/v/HF04kXZ2bbp49z+wWz6TR/V1hLmp8zfSq2Oe8zu3QOfuB/v/VIlB2eZAbsio2TvRiWoo2eke170OphFdJIuBmA3hUDFtx2rMmdciDS8SgY5EYNaIS1BrfT570mozLoHpmyWI8mVQdB+ULYB9X1vGiB0BBuz86hN279nLQBkQzKS09idASJOpnpf59OQlPL2Emiiw8qVw4nDtyru2YGiasDxEqJCgCYnhP4F/4cN4/CdwRLBVz4I03ataucQJ+iNgYElLkHSLYXv+BeXLoEV7inqMZpD+Na/pT5CL1Z5bWMIL89ZQ2Ww9XQxvoNkSKUCigZaDFlKH7hrfx3TT19pdQo1WJJE712EKDSENPEKC9DFFfwWtTNJHaEjAlJYEKde+hkcYCM0DCKuPNL3mbz2X7f2ewetv5tyzHxw6k7tMDzn4kBJ2Hm9Od7DO9SUPQsUKMLwIIfCYpnVtSD9DxCae8Y9m7YGeNFuuMbtPdZBB3NfYzEnPZvz9C9m24UvampLffXoxv7nnjoyPEYMGDWLatGlRBa5p06YxcODANLZKoVAoFKmkocz0VyhSTbt27RgwYECd65mmWec6iqZDQx5DE009Gerwnzyqr1MGxqMJEAK/YQl2GuDxaNw4sIAbBhTUmYEqXn9KpKi5eM9LXX2S3zIXLfD+HancQazZvbKFuqIdU+F/zOR905Dv2UQIdy7jus92rIZFU6DiS4KrykXGSXWJ25dj/dy9Bdul5XZrzTEu5Cn/WPgutuM7v3s+D4zsw8Bu8dWiawjCeUMhZtHuxRdfZPr06fz7v/972OWtWrXi//7v/7jrrruUaJdC4h3g6xv9Fq84UlxRzc6Dx/HoGoYR2UAJJ5JNua4fpbsOOTXt6ivOVB/zYkrp5M6NJe82xG+8RHoAJ2WGhSIiTXn2jk004y+iobRjtZWS0BaTIGwEVr2IFOFmi4QlrzkCDnfNZ+dXn9DB78UjTPwSTKwXD6HloJ04DC9fZYlceo6VknLhA05R3UAJPQQghLQitdwCmsQ6xoUP4N+1gY6ml05YApMuwIBABJplwOhI9i2fSZXZnTx9Iaa2G4G0xDOCNwu10woErSMD2/Z/H1hfIPRc8B5zZjwF5Q+3Z0YFduBohEIii18FaWKioQfEOfHNp/TsMJsfi9bk4HeMM12a3KvPJ7Cas31TwjKzL/8whnDD0vkckJ/Rq7WXIx2LaLHpAxCBNtU6RhNMiYGGGYgg1DDRA0kUtMCaujQwMBCAafisc4IEw3S2aPpPMmTXa/w9p4JvzXxeEddR1eoypvp/ylTPTDRMOq98DPqc70QWbr7ydSqKP+Go3obrdv8ZDC8+PKw0+zjtdI/RK7ft53rzH0zNmYnAQN8IgwWgw418zrx1XYBLnckomeBXv/oVo0aNYt26ddx888306tWLVq1acfToUTZv3szbb7/N8uXL+fDDDzPWRoVCoVAkH+WwUChg/PjxzJ8/v866vZdddhmffvppmlqlaAgkOoamS9gJ3U8s4kU0v0aob2pB6e6az4b1Tiax0uNdeNapTBxRGLSPaAJYov6U+vgi7X6I1CfFFdVMnb8RU0o0TTB5VN+E/JupJpbrqq42pnIyeiZtj1TtO5tF2nDnMub7bO1MKyuTjG3SijuSLvR7qPEDbTU70137lhxpTXw3gG/MzrxiXOWkv3Tj9guFfn9Jrx8EBbxkW/83BWIW7bZs2cLPfvazqOv069ePioqKhBuliEy8A3ws0W+TR/VlQeluRvbrBBCT+ObG/VDyaIJbBndlTGCmTyxtqj7mZdr1/YPWqY8xUV8jJJ7fRUsnmtAMC0WdpGL2TjYbAKFsXrOIz+e9E7UeW9gHqZPu0SU/6bk1qQzjoFZ9spnXgOEDzQMDbodzxlorzrrOEdsAK6z/nTvZ3fpy2uEB6UMPJJY0pcZL3su5Z/lf0AhE1Blejv1jGs39x9FxiVsh7QlNASCQyJ3F6CHpAqQEEy0QuRWYkSRhOMWM9Sx2NmALaYJwglr0vrGFNCnhuPTwL3oz4NA6RMiMJ1u8cwt39t8mIE0DXUjHeLPXyduzmhs1HQMN4V4mg/cN4Een1OzGZM8raFtMNCQm0BHBUqMfXfXagp39t4bkfaOIU8VhNprd+JnnE3KkH10E9klNvxpSYKAhEXiECUJDk/7AuTIp2PMpBRqcrcHllFDZysMc/SgCiS4kmvSz86tPeH9rO/Jb5vL+vI0MkgdZaXZitbiNkfpqFhiDnbQNGgSN0cNPKedMz0w8GLX6Ikf6OXv/AkbNaB6UgjndXH311Tz11FM88MADLFu2rNZyIQRPPfUUV111VQZap1AoFAqFQpE6Jk+ezLRp0/jtb3/LiBEj6NSpE82bNw9aR0rJ559/nqEWKhoj6RJ2Iu2nLud2NL9GqG9qZL9OrCk/gM9vogci7Ww/XahgZwtghmlll7nrgu610msm4k+Jx78Vrm9+celZUbcpkFQf84bZWv3akGxiva5C2zinpCqoz6OV9lEEk2mRti7C+ZJj8lvuWA3za5dRiYYzETwwAZtABiQTEIGp5z5yeMA/jjH6Um7VPw34lTTmmheFFewALv9hB/YcPsH6qkNB3+fookkGSmQbMYt2uq5z7NixqHVZKioqyMnJSUrDFOFxZs4QW1HHugQp+8Hu9Zus2n4ApMRvypjENxv3Q8kwJae3bRH1N3W1qa5BLpLQUl9Rx/7dnJKqOgOSIxkJCc2wUMRMMmd3ZLsBEMSO1Zy5YCz/IXz8W46Hn/oeqlWPLaIA2X2oJdIZXktcO29sjbi29PcR69ttXrOI6n99Sv4PL6P3+SNq9dcH3efQ0/BaBoPpQ659BX/JG5R3vo4z/SecqDYICEOHdzHw8Cz+blzIpdo62opjaIFUlaPEcggIdvYPWpzY44hnjpgWkrUySEeTIF0RZKFilm7F9TmfATpoB63tuEWvoETgweKa0x57ccg+7L9bCB8DfeucbZuBbWnuKLsQMc+QYAqrlVJaKU88mMFCFIYl7IX0hbNOYD0hJeM9H1nHHFhPD6TOvFjfwGdGfzQBzaSPwfrmWu36sf4lAD/S/sUHRhE9xG7O1bcFqaR23TwDeNR3J+3E95wuvuMWfTGewDG7mgSYdFkxmQv7P4TclINp+jHQ+Hz1Oj41WqEJwaue/yYXX1C/DNa2UObtQokspGUznduHdGNgt3zKP3ma9mufQXMJdq7ThhBw5o53GCPzeIvwBmq6mDRpEpdffjnPP/88a9eu5eDBg7Rt25bBgwczYcIE+vfvX/dGFAqFQqFQKBoYPp+PXbt2MWvWLKZNm5bp5igaEIlMrk2XsJPIfiL5NcL5tOy0dPktc4MyVIX6Aty17qSEF5dtp2v7Vkydv5GTPkv0mzq6X1jxLBbi8W/F2jfx+swy6WOrzzHpusY7a3fgN2WQz8ku7eM3JZPnlgLElX6wqZDtgRD2/bp93RIu0P9FZ609MDj8/b12Jqx7FTzNYP82YhXsQjM3uX0y680zedz/UwCKtE2sNPtYE54NuEFfSo70Y4iazEU2tv8nx6Mx4eIzgUA2PJ/lPxrepwMTLj4zq/q6qRKzaDdw4EAeeughZsyYgQhKnFrD//zP/3D++ecnrXGKYNwzZ/QYQsch/EPfbQCFDoJgjQGxiG829Xlw3jCgABn4P5KxEu77uoSWRESd90qq8AZmwkQScCIda71nWKSZhhRZlmqy3QAIonwpHulDCKvG1488mynqcZezOOp90WWwVedt/Rvw/T7ruz3/CqSePAmaBlf/Hgbd5Wzrk48/YOLOSZyFD7ntOVaVP8zCfe34ubmClfSx0jGWL7eUG5egJYyTfLN9O2fqtYWlGkFoea2gtU7iAFAjhEGwwGXjFqmsjdYsc0fEhYp79qrhBDZ3nu/QqLpQMS/cfkPbFboPJyoNDTNQV88WtNyRfFZXmhSbvTgoT2G4XlJr+xBYLySHudP+wDo6Zk0KzFDxUcLFeilvGJdRanZnoP41QhpB/awFav9p0mCMvtwyJ2XtfhUCcqRBP62cR/x381/6G1ZkpCsq0t23mAbbNnxJfrfRVFRsY5j4ipu1xdykLWGxcR65+NCFDP6N9PKfnvf4k/8GSk4W8twX2+i76Q+MOvw3px2GBBOdl4yruaP9Jloe2uocxxM5r1Dm7UKmcwCcc845PPPMMxluhSIe1PNSoVAoFIrEmDRpEs888wz9+/enZ8+e5OXl1VpHSslrr72WgdYpspVEJ9dG8tkk27ZLlYAU6tMKV2JmzIACZ7ndX7ZgZ2OakgWlu53vbYGoV8e8eh1/PP6tWPsmXp9ZJn1s8ZzvMQMKnIm+b62urOVzqj7mxQjM7PWbkt/OLUUX1BL3GhKpeHdqCIEQA7WvGVh6n1WqpeT30O9G+EFvaNEeju+3/t/6D9g8P+p23K6m0Ini9jID8AR8MgYaj/t/6mQlKjEK6d6+Jew/Roks5DbvQxRpm+hx/lU8fN6lPP/5N+w5fIKbz+8aViDONt+1wiJm0W7SpEmMGjWKzz77jLvuuotzzjkHgCVLlrB9+3ZmzZrFsmXL+Pjjj1PW2GwmHc4dW2SwZs7UHTpu437ohyts654FgpQYZmxRfO7tx3qDh+7/BpexYS+Ptp1UCS2xbjfSsUb7Ppb2peP6aVCRZWmgIRgADt2HIvRmSMOL1DxcPfImervu6anzNnLCZ4nu7uu3uKKa90qq6Hr0G8Z985qVupCah74GSNNEfvhrnt/cjEPHvHgql3Me35CrewPRWQYDSx9nECA8Vr0zgQzUOQuOcNKBK/S14QWbACLks708qM4bwSKTez33snAECXDUiEeRUkm6l4Vuw73+QaMlbbVjrpVCjsuOngvZjv39MdmMD8wf0YITXK8vDzqemu1IhmibMQMJDmqJcuEiAsPsy05daW/DFgmd45GSW/VP8eo5/KPtjVxx8G30EOHSvT09zHfh+r+vVhG2P+32aUhuFJ+i7YAzRKBenpBo0mCEXmJVFJTBx60DF2ml/Cj3X7zgH0lrcZyrDy8O2s9x2YwnzZ/S99r/pOX2ByEg2gksAXO8Pp+/125uxjh8+DCtW7fOdDMUUVDPS4VCoVAoEuftt9/mueeeY/z48VHXe/XVV9PUIkVDIFGfT6SJ68m27dJZviNan7j9hM67toTcHCu95opv9uMPCESmlAn50GL1b8XTN/FOvE9m9qV4iOWYovlbQyf965qoOS+mdDLqZP2E8jCk6t0pGwMhgtixGj57sqY0jJSw4W/RfxOCc98SyNDkmnxtoDHDfzV9tQqndAnSh0Tjt767HMEOIFcXjB92JlPmWZn0SmQhpfTizfMuYGC3fGbcMShovzGV2lFknJhFO3ddlsmTJzvfjxgxAgBN0/jDH/7gfG5KpMu5kwyRIVw9OfcguOXbI059u1Q8OKMZG0G18XSNGwcW1IrES5XQEq1gbyjRUhnU57yn6/ppUJFlaSBdBkCsgmy09YrNnmzv94wVcn/uFfQOpLMsrqjm1hesa2eAKKNI28Ra0Zf8lv15+O8beHtNJX4TnvO8iKb7a4QWl9BmRUD5uWbLI5yuHUDoEs0lyAkBekCBEYKgemr2OvZnWzCKFB0XmtIx6Hci/DrhtuX+HE7Yc4tn9iInui3ADvM0dsn2DNE3x7S/NgHBLpLA50YI8LvELoCW4jg36Z87aTojiYcI0KSVdlJEENKC+oDa4qQpYZExkBF6Cbo0A5F+whJppbTELCHJxU9L8yiWfGvW3naEc+deZiAoNbtznz6XjWY3hmkbwoq19m88geN3Zo85xyRZ5K9pM1aLXPXvDP7NMz/oZdTeTyvtJI/rL1N5qAff7PueHq7+QMCVnrW1T1Kaeemll5g5cyYlJSWcPHkSv9/P559/zmuvvcZjjz1G586dM91EhYtseV6qaD+FQqFQNGSOHz/O2LFj61xv+/btaWiNoqGQDJ9PqG8mVbZdusp3ROuT0GWTR/Wl+pg3yH6cPLcUU1pRXPH0Zzy2aOi6yeibbLOF6zqmuvyt7sn9U0f3c86Lp54BFNlCKt+dskJM2rEaypfWRM91H2plr/rwVyCNun8fBrcbyfZr+NGRUqBjOMLcW+Zwp5LMInNQUBrMYT1P5dBxHz9o3Zx7A+kse3XMc0o/Rcpsp2g4xCzaQXBdljVr1nDo0CHatm3LkCFDmDBhAv369UtVO7OacAOU/X0yHy7JEBkipXG0Zx/Z9e3WlB+oFTaf6AOzuKKanQeP49E1p3iu+2Hk7kev3+TNVZW1UlWmajbT1PkbMaVEizHtaDzbrqut6XIONqjIsjSRagPAFtX6GZs54dlMq+tuovf5rokNgYf/J0d7ct8XHgxTMiRnK78ffITOnQrYubuK13Z34YXtp/ITbRk99c9osW89e/tPYPH33Vm/46Aj2M3OnUYOfgzxPk/Mr6SP3M4UDUrpzgi9OKhd4cSzLtp3QctCxa9wUWVuwolw7mXhfhOpPeEEPHs9wxbfwqwXfn3BP4yBfEcbbtaX4AkIQh20ar4wzmYQW/AIiV+CRpRGhrbTta4B6K79G1LgI4e5/vO5VFtPG+17PGCloQxEv7l3s83oSHf9WzRXvy0yBtGW7xmsb3Fm3ekEt00G/tludqSH9m2QsTfDGMV3tHEVIBa8YVwKYImH0sSHh6rq46DXbpPdd2vMXgzSyhwhTUowBGjSkt5MNB7LmYWOtb1n/aP4sf5lTcpT13XhvqZ093FIMAJtnmGMYoy+FIBSszuP58x00ndKWZM2tdZ1KU26Ln8YIyDX2fUNnbQSGcLr9XLdddfxj3/8A+mI31YbTz/9dNauXctFF13El19+SadOnTLYUoWbVD4v45nIUZ8JPdnm3FAoFApF0+XKK69k48aNDBkyJOp6s2bNCpoYrmjapMLn0xB8IdH8QtH6pK7+6tUxj5+c3yVsLbxw2LZkfstcxz9Yly2aionoDTHzRTR/ayhjhwSnKYTk+5DTRUO4v+Jix2qrvAwCOp4DC/4LDC+WZ0GzSsyY/pg25Z5gLZ1/LFaZvXnfuJB+WjkAc4yhQEh9OhfrKeSfspC+ndtwb4/2zFxRbt0fe45wb6A2XVaInIqkEZdoB6ouSzhCB6j8lrkpe7gkegNGe6C7jYSTPpP3SqoiptWM95iCoug0wS2Du9YyGOx+dIrnEl7ESvYg5D5uQfi0o/VxgsXaZ+l6wGV9aHkjZE5JFf2MzY6gZn70dzbzBq9VdaDgaCkTtk9EmF6Gmh7Olg+BgFnaE+QW+5FAByn4FRpjPfmOqEblN+RVLOIh72TnIV6kbSIHPx5hgvTyqPayVdcMMHVLtoiUWjJSdJUdmRZOvJOSsBFP4bYfim2ohIuI+9zozzC9FE3WiEgmsE+25VRxCCT4yOEV/xWM8yxAk4YVI2Zvz3VMtnjmJYcZxiinr2wRyxahfOSA9OPDw2O+n9JPK+dUDgFwmb4OXZoYVpU3dOlHIHjf+BGj9FV4MPCjs7jtDVx1+D2QJn6hs6jZCF44PIQSWcggrYw3mz+JMP0YQgucI0uEMoGvjc48aIyj0NzBEzmvIKSJHw8vyWspMXtyvtjKzzrvZEmln8dyZuGRhiXg2X0E9NC+dY7bkPA345JaBYh9ePi7OZRis5A5xlAu0DexwrAKEt+gLwXpAwRrjULO07c6ot5T/lsYoy91+s2Qgg1GD/pr2/G4+lEXEg2Djj/owJ/3XM+TOS9FFHJDP5sS3jEursnH7ncZpz7475yXg64J97UbLN5JPC5R1C3cZYrf//73LF26lEceeYRbbrmFgoIC2rZtC0DPnj0pKSnhJz/5Cf/7v//L9OnTM9hShZtUPS/jsaXqM6En1Na6aVCXmJwzCoVCoVCkgr/+9a+MGzeOe++9lyuvvBJN08Ku99hjjynRThFEsn0+mfSFuEWw0Ag4N3X5haL1SaRlobbnmJDyNNHW14TAMKXjl5tTUhWx/1IxET1bMl/EQ7zXWeh5y/bji0Sj8DXaQt33+6BsYRRRzgTTjLiZIJHO9nWJmonne8y27KYdbxuXWlF0gU26KTGCxTqAH597Oj075Dn9+/SSrQ3u/lDET9yiXV3cd999TU7UCx2gsv3hEumBXtSjPR5N4DWsB/O7xVVOOG19j8k2UHYePO783jAlp7dtETaH7ux7iphTUsU7a3ekLTS8LuOovoJlonXyUoGadZEC7FD57kMhkLYSrOumdOchLnQJan7po/iDZ+gjoa8oR2on0YSkOV7+y/MWALn4nbSBHiGR0giKggMrxeAYfakjbqw0++DDA9KPRKBhOOtaqRaFE+UDlrBjoCOQTuSZsyyQN/sCbRPnat843x+ULWkramq6VZutaKcdddolJVSap1Kg7UcLiVZzRLTAtid4PgwSYSTwkO9u3jKHc4u52ImuAoEQgtM4hB+dd4yLmWMMpUQWOqkBDshTOE0/yk2d9lKw51MnEstA8JZxmbM+WDOX3CLWHGMoc4yhzkymdRQyRwr8hpVTfoBR5iwDKNI3sdLoQ5G2CZ0V6EIipUl+u1PRblwA5UvJ6T6U6l0d+edcS3ws1Xvzzcg36H1iPbl2GoWPfg2mFXV3praL2bnTuM37ED/xTuYCfRPFoi/XX3c9lxzzUtTjRwC8+/wKyrxdKNI2cbb4hiv1tbX618QSKe0ZWnYB4kual9G296U8VHQ575VU8d2RDpQxlNKyfRiGyR3Gw5wv/+XM5hpolnFbhx2c0usSeh8/g7nFghuo6be3jUvore0A6ceSTa0JD5onlx/+6GrK572DgbCuXywbVASuO42Q1KXSilo8lUMMEGXOubLTvR6Qp2CgoWHUqkkYGhHq9IMrGjOjih0we/ZsXn75ZW6++eawyzVNY+rUqVx//fVKtMsyUvG8jMeWqs+EnqCMBYbkjVWVvBeSsSAaKkpPoVAoFMmkqKgIr9fLqFGj0DSN0047jebNm2e6WYomSjp9IaHRavbEdE0Q0aeUDL9QqC0XbWJ+ONzrg0TXLD+Crmu8s3YHflOGbX8kuzUR2zLbordiPZam6nOrz3FnzbvH2pkJpbq0qfFv1FBi9KCfXulM+L7PP7FWBF002rXM4SeDuvDA1X2Cvs+2+0ORGpIu2j3//PNNTrSD2gNUpm+e+gx+A7vlc9OgLryxqhIJGEaNQ6k+A4Itdp30mWiaQAvMLoj2e7sfxwwoSNvgXZdxVF/BMp4+a6oP9gbPjtUwc5QVKq95YMDtcM5Yis2e3DpjBV5DcoenCo2AYI3GTdpn5FBjDNgP9CHa5lqbjxTdBpboZ4scJbKQ230PMURs4pDI4zHPS1btssDKa41ebMWqmVVqdqed+J6VZh/G6EsZqy9GC0Ro/dPsweP+OyiRhQwwy3gz9wk80jIu/td/qxPp5Ufnd8YtPKG9hO6ySJ41RlPm78IYfakTrXap/hW6rMnJ/Tc5nEpfh6DoKUMK2onvAXjLHE6Z19rGrZ4laIFaa1Ia7JKnUiIL6dy2OSUHC50ZSIO75tOt47d02PMFudKaEWWisar1FXhan41eWY1h4vTTL3vsYXPzc/B8343V5dXOdu4d1oPL+3Z0XrCWbOkL5Q4uAAAgAElEQVTA85t7IaUkN0fjxlE30GfXIdasxRFJfXjI/+FllmDbZXAg3e7KoHS7vc/vCrjSog74Kez+J2LnOjzCROBnQrfd7D/v36k+5uU3rnHIHsvvuegMXlhmzboaIMq4VP+KXAwQVopKdA/agNuo6DCK3lUdKC2uwm9YBYjXHS+kWanG5O5HEMBnW/biNyWagH6d25Df+iJWbZYUaZvAhN7nj2DM9f0BuAIoHlDArKUdOOP7dYjuF/HuFx5HQLQFzd/03scFl/3YqbcoF/wdKf0ITaf0B9cyu6ItI/XVXKSVOhF7u/QCOvmr0JFcqa9lhF7CI76fUSa7ONGpEoFwroHaEZ7hUrmClbLUI4IN5kywbds2fvzjH0dd54wzzqCqqipNLVJkknjtgngdN+EyFsTioIGGmYJIoVAoFNlNeXk53bp1o2vXrs53UmbaOlMoUotdIsPnt/xgZiBaDYhpQrdduubpJVsj2oDh/H3hbLloE/PDEak+3lc7DrLoX3uiZsMKtVsTtS2zKXpL2cnJJ2v6dMdqmP//qBXuVgehTzJrErXGXOMCLhSlnCKO87F5Pr/2/yJoMng0wa5tyxwOH/M5k54nDOtRS6yzyab7Q5E6Iop2PXr0SGc7GhWZvnkSGfzGDCjgvZKqWg6l+hzTym37HceREXAQ9+/chpvP7xqT4ZHOfou2P7fhomuCXQePU1xRHVOouxpEs483VlWyoHQ3P+28hytafR1cTNYVKefgyme9ucM1LP6+u3Nf5C58jn7GSSsyzvQh1r6CLJ7F6ZzKq6Idp3iO01evcDZ1yGjBqfqRoGghd6pIcEdNwU7z1Jq0mG4EnK1vY7ZmRWiVyEK+koUUm5YBMFR8xZVaTSTWVjrziP/u2tsJSZ9oC3ZgCVy3eh8JMi7cQo39ebw+nw6imreNS5zwfnd6w1ADRRewreuNPFxJIKLOxEeOI/7ommC9LOQibXMgKaUt1mis5odc/sMOCGDnwRPOPoorqvnxeYOYU3IJPxGL0YXEA/zlgqMUd+3DrTNWYCDRBdww+gYuGdKVS4B7XdfDyH6dGDvEcijY9+rYIV3DvxANKGDm0o70+H4d3QZeEVSnMGq63R2rYdZ1AZFXBz0HTD+6nsuV19wIXWocGvZxucfyx0f3Y+OuQ0i6sr2gP71PrIcW7RGu67c3MO18q+jw9EVlLPv6OyTg9ZlMnlvqpDgB66Xxn1WHON+zltdzLJHMh4eKgv5Af6cd1vh4K3ArAFPzK/nt3Jq0Dbm6IPeSu6CL1T+9zx8BHec7EagbdnXkre0bKJNdGJy7xbnelnp7cYu2w7kfdGnyeM5M3jYucUWnCiQahjSDrofA5YtOwGAWwWkoJDp+aSLRmGL8DPhD7es/DbRo0YK9e/fSpUuXiOt8/fXXtGzZMo2tUmSKRFPmxLr990qq+NvaHfhjdNBAw0xBpFAoFIrsZ/v27XWuEyltpkIRC/UtZZKq38wpqcLrtwQA2w9mv79oIvokdns/0fx5kZaHs+V+celZESfmR2LMgIKg+nfFFdX8afHXzjukromw7Q+1W5NhW2bL5HZlJyeftPRpaFYs+7PtA2zRHlY+Q70EO5cfr8zszFzzooiiXIksDJvy0k2OLnjpzvOB2GsbZsv9oUgdEUU7e1aUmxMnTrBnzx4A2rVrR15eHkeOHOHAgQMA5Ofn1/pNUyUVN0+sRkIig180h1K8x1TUoz26JvBbsfWYEtZXHWLLno306pgXk+GRDbidYO8WV/Hm6tjTTSXjOsiakPFGwBurKnno7xsYIMoYWjkNU/jRMAENPM3gzg8c4W7zmkUcXPEqgw7MRw9Exp0hX2Wx9xGma70QwKtio6UaWGXjrP9Nk47spaO+19mv/TA/TT8C1K77Fi5a6Hn/KBaZg3ir2eN4MDCFxpGuw8k3DiB2rkPHJAc/Rdom1hmFgRQWFjP8o7g09ysnKm6OMRQBnF3Qhn/tPozPsFYuy+3D9M7/xwXaJp7e3pF1siceTTDq7E7MW7+rlnGxp83ZLD/lfC7o0Z7hLXLIb9mfpbtGsPfIST7bsheBldL25z/qzvNfbENSY6B4NIEeSLHxVdUh1gQi6tyCXvOcmtl8w0+5CfHxXPCfRGoa80//Ff8sL8S/aQ+eQOSufcxSYv3m2n/DXLAUTfrR9Nz/z96Zx0dR3///OTObhCtAQC4hIXIkgYAH4QgoKggCilAPioACWkVErbRWbbVfRGxta21/eGGhqIgF8QCLoiCiaBFBIAEEJECEBCI3hPvY3ZnP74/d2cye2SSbZDf5PB8PyO7MZ2Y+Mzs7n8++X+8DUvuyNv+Y5xkE+NWsHN0rxSPWBSLQd9hXxLISMpKmYJVLsBO6a16YNRYaJQcVjH2f5cXn7Pz5VlNM64pX9F6Afk8ekMb6guM4nAaKomAI4e8RBvTgR+IVJxoGmqK7xMAQ+zaLZi/KLUJAYDHAHXkIUJyfj6qUpOs0P3NVgRG2b1CEwzPpVTy1Bl2RjLoSx7/r308XtYDep5ahudOm5jW8mrz295Ls2EOTLW/QQfnZI9450ZjiGO+JKHVNnKtHtOvTpw+TJk1i3rx5NGzY0G+9YRg89dRT9O3btxp6J6kOSpsXVHTMN/evQJkMNDLFikQikUgizQMPPBBWu2eeeaaSeyKpqZTHjlTZ2wSKJVUATVMYGaDecE5hsdfvqlD2vJzCYqav2BlwfbC5XDDH/NLO0ax/t3b3MZy64TmPEd2TI555KtqpSecSLVTqNd23Dja/Cxv/A4bucpjueCPsWg66g3Dy8fhW2vAKEle8He/f0geX1KcLgyb14/llVhsS68YFrHUp7b4Sk5DpMa1eUYcPH2bEiBE899xzjBo1ivr163vWnT17lvnz5/PKK6/w0UcfVV5vazFlmSRU9OEXScGxf0ZzVmw/5CUo2AMIiV51WJwG01fsZPKANI9nT2WIVmXZr+m55NSr1rsmmsXMqiLcws3Btstu15QsdRdsfpfGWw7QTelFtrvOnOrxqDEQzguc+OLvJHXM5rN8O/0K/klHHK7oHk8tOZ1sdbsnRWH3+B1ex/QV48xlVlHOWnfLgY3v9E5cp23BEGAoGicbdeL/Hctmnt6fbspOPnBezyXKSa5XN5FY+CWGZkPV4hCGE4fQWCc6EWdTQQhPLbZNpDHOmMLEtgd4bU9LNtGRhDiVKbdksuPgaU/EldMQtL2iHxOXNOei7ooknTa8C6N7pXB371RPtIauCzQVjpyxs//EBbbtP+VpF+h6r919zOsa2Nz7LT5nZ/+J87y7zmVI3ijSON74SgZntuSGunE+n20HaPkxFKxCTe3L/vwmOHfv8NTFvKFTC1bmHcYwXKkrs9s1JaNtB68IL5J7km0UV+kEO2QkTWpf0OJdwp0WD1eMDhzd6SYSz3KzL2Y9BYfTQNNUrktrxjfumnY5SiaKthgMB4pb7Axn3+E+i6znsVXLYKtIR0cQp6n8dNMCMn56CyNvKbo76nKR3pf/imv5Y+Zxruw7lIfdaUfHzZ5LlthGjpLJ43eM5Y62rgLM/3Bk8Dt1Pr/QVmM0SuVM3z+iFbVg5rq96NWcgempp57i2muvJSUlhREjRnDFFVcA8NZbb7Fnzx7mzZtHUVER3333XfV2VFLlhJvWqLxjfrgGGhOZHUAikUgkkeYPf/hDWO2++eabSu6JpKZSHof18myzMLfIk0WqtG1u79aGDzfsw6ELj6OpAIQhuLRxXT/BbtS/13oi895fv5f+GS2wqQq6Ifzqw5nlZ8z6eL5zvNu7tfFzqgx3jhfsuvj+JjXFvNKoSXPLmnQu0UKlXVMzu5HzAh5xTtchb0nQTUyTgeKz0LPcveKQ0ZhNogP9tE3Y3I79M503l0mwi7ep/Htsd3kPScIiqGjn6xX1xBNP8Ic//IHBgwf7ta1fvz73338/rVu35oknnmDhwoWR72ktJ5So5UuwfNJVOcBYDU++qIornN7aJ3MiYJ7jt7uOsr7gOFOGZjJtybaIi1blMYxVh3dNbQ/Dzyks5u+z59LN2MaXRic2keb/eW2YA9sXQ6fh0H28Zzvz8x1j+4qrbG+hCJ0hAgbEL2e2cwgKwuUZY0bJIWhcuBxj7xcMFCoKBpoivKLfBArHRQMAstXtKBZBz8S3TIMnhZ85XxAKTjQ+1K/jx+Y388HhS7nckUcfWx43DR1BRo8BiI+20G3dCr+6XjZFYBg6dB+L0iiZwjpX0O9MKn9w34ve4mYfstomkejz3V+UW+RJkehwGizdegC7013/SJSkczRFGdPbb/+J856oDachmLJ4q1fErK+IkxCnYnfXs7QKfDmFxV6G5H/88srg97QlWstXfJt4XXsmXtfe/7lm2cbsV1VPsIMKWsk9XdGc1hQNpeynon239iW9ZWKQcaEPqto77H6Vpw/W84CSlA8ZbZOgxwDUfev44tMPmVnYypVG1YDVrdK5MrmDZx+P3zeWtbuPedX8y27XlJ62fO5Rl7uE+LPbUVs25M89upJ5aSOmLN6KYVSfcte7d2/eeecd7rvvPt544w0UxVXM/b777kMIQYMGDZg/fz5ZWVnV1kdJ1VOWtEblfWaV5/khU6zEDjILg0QiiQUuu+wydF0P2ebixYtStJOUm/LYaMq6TU5hMR/mFJWaHtIkq20S707o7ec46Xssa9ScidOAL348RJxNZWTPZC/xzZwnCkAFru5wiZeju3VuebuPsBbOHC/YdanIb9KaNLesSecSLUTsmpo2wZaXu2wazvNhbWaaAz0lWTy2QdBR2KCn013bgSIETmxMck4mV6SFVaNOUeCK1o04cd7B4MyWDMxsKefukjKjiDArAbdo0YKioiLi4uKCtrHb7Vx66aUcPRqgBlMNRHFb66uimLJ1EDbtjzYfY3g421ZVtNZrK/P5x/Id+NpKNVXhueFdSG+Z6NcnwKsGk6ZAnw6XsDr/KIZwvf/tjek81K9DRPtXlv1Wl/hpTpxqW6Tdh/9dxM0bH/DU2hpjf4qNIo3RvVJcaQI3zIElj5ZsMPQlaNGZNV/9lxd3NKMj+/hz3Jte0XJmvTizcoJvBJzi9obT0VAQ6Khs1DvQXduJgsBOHM867qaLWsBIbSU2S/5rHbApJQO+IVT+6LgHRYExiZs52iCd9QedrNE7sZk0fntjuicyzTfa4ps3fs+vlfexKQa6UDBQURCotnjU8Z/4CSvh3Js5hcWMmrUGuzv8KN6mMvWWTK8fEsHusZzCYkbOXONJNakq8FiI702o/pT3eySNlDWb8j7vfv7kT7TK+YcrclbRoP/T0Pcxzz7X7j7Gw/07AlUzXgfi0KFDvP3226xfv56TJ0/SuHFjevXqxdixY2nWrFm19Kk6qMp5UzQTbA5Slu9AtD4Po7VfNQmZhUEikVQFkRizVVXl5MmTJCYmBly/YcMGxo0bR15eXqniXm1Fzp1Kp7Jr2lnnbQqU2CIq0L9A9j0rgWxUoeaJ5bVvhdNXSQny+lQfQa/9F8/A6ukht7X66iu+6wKUrtlktOc5590ugU4pXaAzURW4oVMLmicm+KXBldQOIj1mh0yPaeX06dPs27ePdu3aBW2zb98+zp07F5GO1TQiUaNk3n3ZTF+xk1W7XKJooGiXQETSczvc8zC9dMzQfXA9HEf2SAbgsfc3ccHhrl1kKZJrrcEUZ1MZ0qWV1/tIRbeVN2quqr1ram0YvrtA7LXnfyIOJzbFAOGq35Ym9nFH7kr2HUgl2Z7v2UQAF1a9Qt0z+8jWL/JBXMmAbBXkwCXYWQdmr0Ea13Yf69mcp45neXd2oimCOOHgubg5KO4720xNoQsFgYouDFSE6xiqQr8UG9+0uJuL3dqQCLwxey0OSu67QPdUVtsk6t8yArH0I4RwomhxrGr3GOkN7bS+8saAgl04Bry1u0vquynAHVltPPXJSrvHstomMW14F1fkkhDEl/K9CfVdKe/3SHq31WzK+7xrfeWNsPnVkrSjlvSe5j3zcGV1OkxatGjBE088Uc29kEQLFfVkjlbRJlr7VdOo7VkYJBJJbDFo0CCWL19OgwYNPMucTidTp07lhRdekGKdpMKU5zdieVP9+6aHDMc+FuhY1rFcVaBr60Y0b1jHU74gkI0q1DyxLPatUH2u7b+3S3M8lvPcqsVaKmfakm1k6nlctOXR9JrLSa17AfZ8C7u/KnU/iuVvIC3FusyOzSPYAeSKNHL1NM/2ppO/iapA97ZJdGyRKIU6ScQJW7S7/PLLmThxIh9++CENGzb0W3/y5EkefPBBT72WqiI1NZXCwsKA69q3b09+fn7AdcuWLeMvf/kLubm52Gw2rr76ap599tlKSVEVqYd7VtskJg9IY81PJYZ33RAhU2VC5NI6luU8zAnFotwiPtiwz5OPu2GCjac+2uJpp0CpBqtwBIWyEktiWI2ZOLmFOI9BPVgqPjMHtW6nCRo6rnptAoX2ShGP21a72h3a7Qpfxz0IC7AV70aohpf3jCnI+Yp0gQZrTzSeAl0SjpDiLCAOJzqqux+uRjYECgYGKgYahhA4sDHNeTcDGh+k3/kvUISOUON46+fWrCvcy6LcIubdlx32fZfRY4CnPpuS2pf+IVIWBjLgmcutx/F9FphpM8K9x8IV+CSS8hLOvej3Y6qMaUejkZtuuonPPvusurshqSJCzUHC+Q5Eq2gTrf2qaVRHunaJRCIpL3369GHQoEF88cUX1KtXjx9++IFx48axefNmUlJSmDNnDv3796/ubkpCUNuji4LN2ypi5/Mdy6fckulTviDwtQ42T4x1x69ooLRrI+e5JYT7TKjIs8MslTNUfENT5SQfcoROcXsRCLTvFoTc1hNZ57b5We1/BrBezwAgQXGwxuhEQ+U8l3CSozRikd43aETdwM4teMBdoqWkLE3tfC5KqoawRbunn36aX/ziF6SkpHDjjTeSnp5O/fr1OXv2LHl5eXzxxRecOXOGJUuCF3esLNq1axcwbWfbtm0Dtn/zzTf51a9+xSOPPMJHH33EuXPn+PWvf02fPn34/PPPuf766yPav2AP9/I8wKzRLmZdKrP+W7ABN1ICVVkHKXNCcZu7JlZ2u6ZMX7HTq03bpvX8alr5TkQqS7SqMWJYFOJ3b+9bhzHnFlckjKKiIkAYoGpw0z/IaTacPRtX0uHcJmwHcunsPO9OX2mwUs9igJaLhs5tmkuws6a6tIpxNqUkVaVvrTmzfaDthLXIrPtfeseOiB35KMKVmHJdk6GcjG9Jeru2pK57DnQ7qhbP3p7/x6Jvf+A7ZwZbtQzu+GU2qroLClax6NhlrPs+wes781C/DuHfdz712YLhO+lPqhcfcMIZiWeB/N5IqhPfH1NThmZSfM5OUr2WFDuHk200JRarw33++efV3QVJFVORZ2m0ijbR2q+aRiw5nkkkktrNuHHjePHFF/n1r3/N4MGDGTBgAM8//zx2u53x48fz0ksvkZiYyFtvvVXdXZUEoTaLPL42jVDRcmUVcYKN5RWZH8ay41c0UNq1kfNcF+E+Eyr67NizcSVvq9OIx+m1XFFKbHfWdJdeqS/dJXHMyDjTDrjbaMnjzomlprkMxiWJCdIeJqlSwhbtbrnlFubOnctDDz3Ehx9+6MnTCa5cnY0bN+Y///kPgwcPrpSOhuLLL78kNTU1rLZFRUU89NBD9OzZk5deeglFUWjSpAnvvPMO7du3Z+zYsezatYuEhISI9S/Qwz3YAywcIc+MdrHWfyttwI3EgyXYIFUW8XFIl1ae9J4AE65tLx94NYCcwmIW5hahAJmXNmLakm1e93bLH5bTwnkRmyIQhoFQ3J4vhhOWPIrifIlhWiFxlKRHEYCGoI1yBA3Da7D1Fd3AW8gTlmXCksDat36dq5Hr36GuE2nl2AenD8JVY6FFZ5T8r1xCoxrH9CNZrHN2IP5nlf8O+w8ZFzZDal9Sk3tyXXoxCbuP8QfPd8Altl1WWEx8ztpKn9j5TvpDTTjlJEMSy1jvbbvT8HJgURWq3ZigaVq1HFdSuwjl8V2dQo4Uk6oOOZZLJJJYwBTjXn75ZSZNmsTUqVNp0aIFM2fOZNiwYZ52/fr1q64uSkqhNog8pdWcC/b7oqIiTnWM5VJ4Ck5p18ac55p2r9pKuM+EsJ8d+9bB5vmAAleMci0rWEX/42uJx+ln9/MIdr42QbfdT7gFuy/07vTTNqEJJwoKM50384I+Ouh5tUxM4NCZi14ZuWyqKxWmEBCnKZ5MVRJJVRG2aAcwZswYhg0bxuLFi9m4cSOnTp2iUaNGdOvWjWHDhnnlKY9W/vWvf3HhwgXuueceL+Gxfv36jBw5kpdffpkPP/yQMWPGROyYgYwYr63MD5jOLlyPhbW7j1VavbeynEdpk5lA65+/tStLtx5gSJdWjO6VUql9lkQYa4pLdwRYTmExI2etwam7RjdNVTAMwVXKTnqL7ezZeJ6TZ+O5FFESno63eHaVttu13Kf2nBDQWS1Jf+sbHWf9a8Xcj+EesE8lptPw1C4QBhpm/TmFHUYybVs0pkH2vbTqPt5/R+6Ue74Rc1+eSSWj3wBPs4qmqYgEvn2Qk3FJTcT6Y0pRFI9gB0SFMUEIwXXXXee17MiRI/z44480a9aM5ORkEhMTPXWCjxw5QkpKCpdddlm19FcSu/g+86PFE16KSRKJRCIJxIwZM3A6nezcuZOBAwd6rbvssstkbbsopaaLPPO/3+txAkyIK5k/hSM4hPNbv7odqnyRDlbBCffaLMotwu40WOguf1LbrmG4z4SA7XztiRvmwJLf4LLaAbnv4AqTc9IEV9kaL6d7xeOPH7DkjS5AoPJHxz0sMG6gm76TbHU7a41OQaPrbKrCtOFdGN0rxauGnpn6EvzLzkgkVUWZRDuAxMRE7rrrLu66667K6E+l8+mnnwLQu3dvv3W9e/fm5Zdf5tNPP42oaAf+RoxAD7BwJgbBUoNV1QPE9zx8ox586+sFOqeH+nWQYl0Mkrd+Be2XjsYmHChaAgz+K5w/xvrCS3HqJXUurxA7eCJuAT3UPJcH0uaFrI/rgYGCpriEO+vA6zvY+kXQ4d3G97Uh4KyowxmRgIN4WqrHUYVAR2VNw8G0vPYeMnoMYPmyj9n87RKOGQ1oopxhnejEbcNvJzPUvZhc8Yi56jBgysm4pKZivbfNgtR2h4GBK9IuGowJK1eu9Lz+6aefGDt2LMuXL2fAgAF+bb/44gsef/xxXnzxxarsYkwSbUaPaKM2eMJLJBKJJLqZNm1ayPWtW7fmo48+4sYbb/QT7iTRSaR+V0bjPC6nsJgpi7fiNFzGhYsOlxCT1TYpLGHC95wCvS9vdq3ynk+w/ZaW6lPiorRrI+fbYTwT3MJcVmpf5t2XzZ6NK+mt/UjrI4dg6RPuTFY2SBsEeZ/hEewAYTgAizCHfxYta2pMgNMigR+Ny/ivcTVNlDNeAl2uSCNX9xfrFEBTYWSPFG7r1qbUrFS17TOWRA9lFu2ikZkzZ7J06VLy8/NRFIXMzEzGjRvHAw88gKqqnna6rvPjjz8CBEynaS7bsmVLpfc52IOutPSTvoNE8Tk7D/XrUOn9DYY5mTH7tGrXUb7ffYx3J/QOe7IjiR4CeZbsOHia99bv5ZqD7/MbzYGiGAjnRZTPHgMhuFeopNqu4CiNOCXq8oBtCea3TlFcKTC7X1yLQMEpQKCgYXjSVZrtTHwFPF+xTgjQAQMNVQgc2LhX/z25Ih3dEHRTXN40DTv1Y+Jdozz7unHwMJp26sui3CJOAH+wDM6lEYsimJyMS2oq1ns7vWViVBWC/stf/uL13hTkAjkKAQwcOJDXXnuNp556Sta1C0G0RJFFM3K+JZFIJJLqZurUqWG1W716NatXr/a8V3y9NiVhUxViWEV/V0brPG7t7mMYFuODAD7MKeJ2t53A6ihoZsYKlj5zytBMvxIhgQQeCC+7lnmMcD5bs1TJhzlFOHX//Ubr9Y9F5HzbRdBnwr518PYwcF4EVSWr98NkbZ3peo/AI7UZDshb4leTrkShc70W7tdWG+E2vS3/E13JVAtZqvdkgXFDmfr+iysvpWOLxGq3G0gk4RBUtOvZsyfr1q2r0M4jsY9wWLNmDbNmzeKKK67g6NGjTJ8+nUmTJrF06VI++ugjT42Z4uJi7HY7iqLQqFEjv/00btwYgEOHDlV6n8H/QRdO+skpQzOxqQoOXaCpSqUPEqVNFMw+T/tkG5uLTgJg1wXTPtnGlFsyg55TLIkfUU2AdJXl3TansJi//Xsu3cU2vnR7p/Sw7WI4/+NBXJ+tjooiBKriClkHiBM6g7QNXru2prdUFFCFQCDcY6/wywEeLPLO970ZWfeecQMLnX252pZHvfTr+X3fwew4eJopi7eyyUjjRzWDeX2z/U65Ij84pAgmkUQf0fa9fPLJJ73ef/PNN7z33nsht+nZsyfff/99ZXYr5pFeraUTi84lEolEIql5WDMOhIMQghtuKJvRVeIiVsSYqprHhWNnsrYxBZiLDsOjFeh6Sf/MfQS6xr7ntHTrAb9zLG92LbOf4ZbOGTN7rdc5+O7X95iLcotiKqVnNCHn2yHYtw6+/gs4z7veGwasfokSJS4Alsg5FJdzvkaJHdAQsM6ZQapygAbKBT43uvOY8yFX+xAZlRVgQOcWrNp1BIfTQFUVOrdqyMgeKTLrmySmCCra5eTkVHjnkdhHabz55ptcc801xMfHA66UC3//+9/ZtWsXixcv5tVXX+XRRx8F4Px518MjLi4u4L7MfZw7dy7kMWfNmsWsWbMidQpehEo/6XAabN1/0q2I+FbdDJ+yeOyEM1HIaptEl9aNPKIdwOaik4yZvdazTXV5+ZR14hZTg67pxaLbQYt31V8LIdx5nae6C+bcDLoDQ41j0eUzyT98mre1PxGHEwc23nLeyARtCZplHwZ4ouisnjC+Ip2J9bVqinIEvkIApHoAACAASURBVHUDCXUCV15qBQXFLfc51XgWOfqSK9LY7Ezjt63TPfeYGXUTc5+lRCKpkVy8eJG8vDy6du0atM327dtxOp1V2KvYQ3q1BkemO5JIJBJJtKBpml9t33BISZFG1PIQK05N4c7jKmKXCcfOFKjNvPuyPVFquu7fv2DXOKlePKrbLhdnUxnSpRXrC457nWNZsmv5Eu5na7azBij57td6/TVN5YMN+3AaIuB1ihUhuDqR8+0AeCLszvus8BfsPPXoURAoqBioboFOQUFxl9QxBFwknhf0O4PWowuEAiTEqUy8rj0Tr2sv7YOSmCaoaCeEYN++fQjfyo5hEu52qampFBYWhr3fMWPG8J///Mfzvn///gHbTZgwgcWLFzN37lyPaFe3bl0AHA5HwG3sdjsA9erVC9mHCRMmMGHChCpJ4+A7wVEAp+4alK1eQOFSlkG4LJPA27q14b0N+3DqJZ97oG2qcmJZ3olbzDzMC1a5BDuhu/4WrAoq2uUUFjNq1hq6GDu4YNvOZZcV00R33e+KbueanMlcpwgSFDuqAqqw86BtiWu9VXgzRTr801YqSnDxzneZbwpMcx/7jGYkq0c8B9lU72oKEjI43LQH16c3I+PCZnbXuYJtHzvQhP9EV06gJBJJNNGjRw/Gjx/P+++/T/v27f3W5+fnM378eLKz/SODJSVIr9bAxPQcRiKRSCQ1jmB2ltLYs2dPhHtSO4gVp6Zw5nEVndOEY2fybbMwt4jWjetye7c23N6tTcD+BbrGOYXFTFuyDd1wZb+aMjST0b1SAjoQh5NdKxDBjuu7nZcgpyqM6J7sVaPL95g/nzjPgnV7g16nWBGCJdXIvnX8vGk5O07Fk97QTutWbWD7YncKzBKsqS/N9wC6UJjlvJkz1Oe4aMAzce8QJ5zo7vAAIQx0VD7Qr2OR3jeoYKcq0LR+PEfOuO2awPAAqS/l/SuJZULWtAtU9y3SjBs3jmPHjoXdvmfP8FIAmsaxvLw8z7KkpCTi4+Ox2+2cPHnSL0XmiRMnAGjRokXY/alsfAd1gA827MPhFseS6sWXaX9lGYTL4hG1MLfI64GsKv4ePmXZZyQoz8QtpiYlqX1dEXa63RUtd+wyLissdkXRFawir84VfHkmlex2TVmYW0QXYwfz4p8nHgfKXm9RvYVaEiVpRsOBv/Dmm6oSn3a+Yp1VzDPr0Xn2Y2kD4EAjJ+Ue2hyYjmI4ULR4uo2aSjcvIXIAGcC85jEaHSmRSGoVf/7zn+nfvz8ZGRlcddVVpKenU79+fc6ePUteXh4bN24kPj6er7/+urq7GvVIpwx/YnoOI5FIJBKJpELEklOTNVWj9b1JRec04diZfAUu3xpwD/XrELDfvtf4tZX5nug2IQTF5+yetuH0OZx2WW2TmDI0k6VbDzCkSysAv7I5Zj3vcO4B85g5hcUsyi0Kep1iRQiWVCKhSvDsW4fzrVtoqV/kUgQ6IBR/cU5xvzBr0pmJ4nQBC/T+vKCP9rTfaU8mW93OWqMTgOd1MLGudVJdMls15IHr2svyS5IaT1DR7tprr62SSLJnn322UvYbKNJP0zQ6d+7Mpk2b2LNnD1deeaXX+oKCAoCQaayqA9/0kmb5Tl3A1I+3kt4ysdSHk/kgS6oXH/YgHEgwfG1lvtfDMFAObRW4usMlTB6Q5tXO3E9VTSzDmXB40hoIEXuTkuSeMO5jvv58Ea/sbkHO2gSyc+YyP/550O20FTa+tD/FS1oGgxru5a+2f1MHu7dgRuCIOAgcFQeBRTnfqDsww9tL2hm4xFwFq9eNAorAQOFk+khuHfU07BtYap0+abyVSCSxQJ8+fVi6dCn3338/GzZsYMMG7/qfHTt2ZPbs2WE7JEkkVqRhRSKRSCTRRPPmzTl8+HC17yPaOHXqFM888wwLFy7k8OHDpKSkMHbsWJ588smgpVvCpbJ+F1sds30jt8q7v1CRdOacxu40UBSlzM7p4QiY1jb7T5zn3RARZ77blRZ9F2nMaD6702B9wXFu79bGI2ranQZTFm/FECKk4BjsXEJdp1gSgiWVQCkleH7etJwWuh3NncLSZrEtgsvmp1hC7BQFnO60l0KAgzgW6X29Dpkr0sjVSwQ662uAlg0TaFAnDoTg3mva+dWkk7ZBSU0mqGgXC17fL774Ilu2bOHtt9/2W/fTTz8BkJ6e7rX8pptuYtOmTaxdu9ZPtFuzZo2nTbSydvcx7xSUugg5wTAnW1YvIqtXTjgePqb3QqgCvNYc2vFxqp9g57ttuJOKilDahMOcCBlCoLrTGkTzwz6QB8n8/S15Kt816HVTdvIgCxH6BTQgATvTba+yX1xCj7N5qO5idB6hDbxi1n1TXFrxFep8l/muy9XbsZ3L+KX2NTahY6DyddORDDj1X3BedG3b5Q7Y/gnodlQtnmbX3OPaOLlnyNp8EolEEkv069ePXbt2sXr1ajZu3MipU6do1KgR3bp1o0+fPtXdPUkMIw0rEolEIokmjh49GhX7iCZOnTrF1VdfTXFxMQsWLCArK4tly5YxduxYvvvuOz755BM0TSt9R1WIWVrD7rY7fZBTxLv3VywFd2mRdGZk2ZTFW9ENwbQl28rknB5ubV+rfWthiIiz0vZR2fMv3+slKKmFpygKuiEQlC8qsbTrJEWQWkzBKneaSwPDeYFj375Fs1Eltrk1emduxgbCgYbwLoGDyx6oWhz5nULBQRzPOu6miXImZASdFdPUGGdTeW1MlrwfJbWWkOkxo50zZ87w+eefc/r0aRITE73Wvf766wDcddddXssnTpzIP//5T9566y0eeOABTzTh2bNnef/992nTpg133HFH1ZxAOchu15Q4twcSQJymhExb6RsFd9FhsG3/Sf58a9miCYNNsnxTDFyf3pxLEhPC2rYqCDXhsPZLoSStQTSSU1jMf2f/idtYyZGvkvhr8lhONevGNzuP0E3ZyW3aKpdAho4iSrS4ZPUoybh++PiluvT8F7jenKLgt501ss4aUWe44+dsbk+aL0UPZonhNL9mPImH1pLUuT8DegyAffd6R9GFCr2vJmR4vUQiiTSKonDNNddwzTXXVHdXJDUMaViRSCQSSTSxatWqgFmPwqUqsj1VJU8//TRbt27l008/9cwDb731VqZOncrvfvc7Zs6cyaRJk6q5l96s3X3MU44FImPDCSc6rficHUOEL0ZVpA6eKbwtyi2iPHdrZc+/fK/X7d3a0OXSRizdeoDMVg2Zs6ZAZlqQVByrPQ7g51wEhiudJYJGee+Rt/52MnoMACA/vhN3OZ6il7KdROUc99s+RcNlm3YKFQMVIXQEKv92DuEM9UMKdfXjNc7adcBl2x7RPZnbu7UBkDY5SbUQbfbgmBbtFEXh0KFD3Hrrrfz1r38lMzOT48eP889//pNPP/2UQYMG8cgjj3htk5yczMsvv8yECRN49NFHmTp1KufPn+eRRx7h2LFjLF26lDp16lTTGQXHeuO8e3/J5OL2EKkKfKPgwCXmfLBhX5lTHISaZN3WrQ0KkHlpI08I/6LcIs+kKbtdU2yaW9jTomdSEbVppdwDp1mT7oYGBTRe+wrT1K89Ta7/eSNTCsbzoFrAiPhvsOFEpURQCxYF51t7zvp7yrred53XfgAUOJFyIyfbXM+O3YWc1Rrxi4Mvo+t2HNhYa3RCALsSOvPQuGElG/tG0UVZVF1FC2BLJBJJedA0DV3Xq7sbEolEIpFIJBXi+uuvr+4uRA2nT59m9uzZtGrViiFDhnitGz9+PI8//jj/7//9v6gT7bLbNSVOUzyRdpGwlYQTnVZW+0wknMMX5hb52a8qSiSMvoFK1VjTZZYle5ZE4se+dbB6OuxYBghQbSAMMJxAiV3QJnROrHmH186kcvq8g3/9bzeQRg5pqAp8oWdxm7YKwJP2srSadCY2TWHur3oBgQU6eV9LqppotAfHtGj3xBNPkJGRwYIFCxg+fDiHDx+mbt26ZGZm8uqrrzJx4sSAqQbuv/9+2rRpw/PPP09KSgo2m40+ffrw3Xff0b179zL3o7KV2EA3TjiRctZJD7hq4AHohvAUAA6334EmWb79ArzybHtNmkwFqAJed5EmKtNKuXNIC+cFOgiFE3oal2n5xCv+g+ef495AwRUs51tXzkogEc/63ir0eUXSKXCQJuiGhhCC88TTXt3vfmioJHXMJqnvQ6R6+j6Qnzct57F1iWymQ3QJoWFSnVGhEomk5rJlyxZ27tzJuXPnKuR9LpFIJBKJRBKtjBs3rrq7EFV89dVXXLhwgV69evlFEDZt2pS0tDR27NjBzp07SUsrPWVcOERKMHp3Qu8y17Qr7djhpGUMZJ8Jtt+KOodXxm//SBp9rdfrtZX5Xn0tPmevkpIzFSXaolYkuGyOc2521a0z0f2zjgnhsjV2O/YJLyy/0k+EMwTkkkau03u5b006gAbxGsOuak2XSxuxdf9Jv+eKvDck0UA02oNjWrSrW7cuI0eOZOTIkWXedsiQIX7eTuVl5Mw1XkVgy/OhhhrMynvjWCc9p887mP3tHgxDEGdTSaoXX+bJhO8ky7dfh09fxLCkTNy074TnvJzunNumYFjdN75JtKWV+nnTclo6L6Ah0BD00vIA12AprMIc3mKdVRMNJOCF0kydAjTfNgqoKFxqO0/eoP/wi48ddNHzeEd9Hk3RUbT4khB6k+SetE7uyeOXx+7ELGqjLyUSSUyye/dubrvtNrZs2RK0jRCixqWCkkgkEolEUvt46623qrsLUYU5/0tNTQ24PjU1lR07drBly5aIiHaVJRhV5bF9j1vqfn0MHVa7GoR2Us9u1xSbquDQBYoC+0+cJ6ewuFJr95WXyrRTVJawFo1RK7UKM/Vl3aZwcDMgyGsxlOIfvyJbt2P99WmaCRXLe/PnqSYMstXtAcW4cBl2VWueL2OJJomkqolGe3BMi3bRgtOtVPlFl4VJsMHMHDyT6sWX+8Yx+zJm9loMIVBVxRNKX9HJhO8N3TwxwV3ZzMWKHw+xatcRpgzNjLobP6pwD6Zz9ydz5oftTLQJr0HSKsoFiqLzXe5bdy5UykwDWK135bxI4EZtg6toLOZgLUC3k3FhM/Puu5e1uztS2KArGRc2e9WgC1T8OVYnY1EZfSmRSGKWiRMnsnfvXiZNmkRaWhoNGzb0ayOE4Fe/+lU19E4ikUgkEolEUlkcPHgQgKSkwL8pGzduDMChQ4cicrzqjBKorGMH229OYTHTV+zEoZc4hy/KLfKku7SpCigKTj20YCTc/5wGzP9+LwuDpMkMV9iqLKNvZdkpKlNYi8aolRrPhjmwfTG0vBzju1dBOD0O/wLoIOaQp6eA5goKMJcbAjSL879ZEgcBTjTWGp38DqUCXds0It6msqGg2GMHVhWY0Lcdb67eg0MXxGmKp06dRBLNRKM9WIp2EURVlHINyoEGM8Br8KxIzmrr/hWEZz8VnUwEyrO9MLeIiw7DM/mxu0P3o+3Gjxrc6TAN50VGCbDZDM8qa1ScNXoukBDnG2EXrGadl6oKGGo8r4kROHWD67QfSEBH1WyuRoYO7oi6rGRTiOsADPBsXxO9p2JZdJRIJNHFt99+y7Jly7j22mtDtrv33nurqEcSiUQikUgkkqrg/PnzAMTFxQVcHx8fD8C5c+f81s2aNYtZs2aV6XjVGSVQ3mOXJoYF2q/VBiFwiQdxNtVjfzIEOHSXRUrgbWOzHmtRbpG7nQtr21DRfsFsc+a5VFa9ucqwU1SmsBaNUSs1mi+ecdWpA8RPX6FYbYJugU5DkKkVAhbBDhUnKkI4UVAwUFAQKCh8KbrxL8fQgPXpbJrClFsyPSK6bzrdgZktpQ1YEnNEmz1YinYRQAVUVWHa8C7l+nADDWa+g2dFclYH2n+kFGTfG3refdnM/OYnlv/o8hYzBCTVi4+6Gz9qKFiF0C+iYnhC0YPVpwtUe86KEHh5t3i2AVDgTJ1LSWyRSrGoz/GzDhpecinNrrmHJ42OrN19zDuKzt03a0RdIKT3lEQikQSnSZMmdOvWrdR2hmGU2kYikUgkEolEEjvUrVsXAIfDEXC93e6qI1WvXj2/dRMmTGDChAllSqFenVEC5Tl2OA7AgfZrre+mKtC1dSO6tG5E5qWuqB+7w0BRXDa6UOVhAlWZDiQuWW0edqfBlMVb/crjxKozc7jCWnlSaEZj1EqNwpr+Mn855H0atKkn/aXF6V8XYKDxf47x7BTJZKvbuVQ5yp3aSmyKwEAls0c/MpwD2LJhH053GllFAcMo2Zl5b9zuU/tS2oAlkooTEdHObrd7vIRqI48NSq+w8BVoMIuUV0qw/VfGQzSrbRJXJDfmix8Pebyeis/5FzWtDYQ1sUnti44NTbiukWIR2wIRSKgzB04hIN9ozWXqAbd/TEmo+yx9KC+dvYt5/V2TR2tvsjDTqHpH0YUS60yk95REIpEEZ8KECSxZsoQ777wzZLv+/fvz1VdfVVGvJBKJRCKRSCSVTcuWLQEoLi4OuP7EiRMAtGjRImLHDFQTrqpEk7LYl8z0lsEcgAOV4DCx2iA0TWX7gVNs+fkk8TaV8b1Tmf3tHnRDgCG4oVMLHriuvZ+zsRkVZFNBN0BTYWSPFE+UkBXr8RRFQTeEX1RerDozhyOsVUSQjFXhpiq/N2Vm3zpY/RLsWApC91vtl20LOKQ3poV6Atx2Qx2FBXp/Ful9PVF0uXoa3ZSd3K6tAuFEaDZaX3kjzyd35fZubVi7+xg/nzjPgnV7XSlpdcMrJW0sidUSSawQtmi3detWxo4dC8Btt93GH//4R8+6f/3rX8ydO5eXXnqJq6++OvK9jHJCRcCF+7D3Hcwi7ZVSnsGyvANVdrumJMTVbiGntIlNybXtSLvk62hc+IVfqstQWMU966DcXt2PoqoolmXv6jfwN+doNCXyk0fpPSWRSCTBmTJlCs8//zz/93//x4ABA2jVqhV16tTxaiOE4JtvvqmmHkokEolEIpFIKoOuXbsCsGfPnoDrCwoKvNpFmoqILZEQLYLtw+yXWVZFVbwj3Errt9UGYYoIpli27cApj6imC/gy7zAPXNfeW+hTFT7MKcKpG9g0lV/2aOMXJWTFerykevFMW7LNz9YVy87MpdkKY1WQLC/VHTUZ8HuzYQ58PwPOn4Qzh7DWvDGr4JiYtkJDQIFowSznUHaKZN6N/xM24USg8kfHPSwwbvA7dq5I4y7HU1xty+OmISPIcDvym/dITmGxK62s+z73SklbC+4NiaSqCVu0e+ONN9iyZQsTJ05k6NChXusGDRrEhg0bGDhwIN988w09evSIeEdjkYo+7KvTK6Wi3jS1XcgJ5Mllrf036t9rcTgNutt2MTNug2e7UOkvffFro7hyVIMA1QZCINQ4lujXoSmBUz1Eglj1npJIJJLKxuFwsH//ft5++22ef/756u6ORCKRSCQSiaSK6N+/PwkJCaxbtw4hhFeqy2PHjrFz507at29PWpp/vahIUF6xJRKiRah9mP0yMzNd3eESJg9I81sfqt/BRIQhXVrxXf5RzFJ1uiGY9sk2ptyS6bFR7T9xnnfdQp/TabDvuH9NQV+sNo/0lokBs1jVVBtYLAuS5aEyRMpwRfC89Sv45pMPWO3M4BUtw/W9ObIYljwasL0p2Fkd+U0c2Pid40FPJN0o+x/JVrez1uiErW0vxrRIZMG6vZ7vSpym8OywLhSfSye73XgyAvTT9z4HvL5/Nf3ekEiqmrBFu1WrVvHSSy8xadIkv3Xp6enMnTuXjIwMpk6dyqefBs+lW5uIZY+Uiva9tgs55sQm05lHtrad4pwGnBVn+LPRifyEznTR85hgW8JAbQNqOUoZWQU732g71DgY8gKcP4aa2pfH3TXratrkUSKRSKKd3/3ud8yYMYOuXbvSsWNHEhMT/doIIXjnnXeqoXcSiUQikUgkksoiMTGRX/3qV8yYMYOlS5dy0003edbNmTMHIQSTJ0+utOOXV2yJhB0r1D58+2UV7Mra70Bi2dc7DrP8x0OeNpuLTjJm9lrm3ZfNQ/06kFNY7Erp5zAwgNX5R1lfcLzCEVXh2MCiOu1iEGqyIBmISIuUYYvg+9bRfulofq04eDDOxt2Op1i7uyNZ+XP9mlrNf4YAA5UNehonaADAURp5pb7UVPhBSWejnkacpvDukE5ktU3itm5tPKliA6WGDYTvfV6b7g2JpKpRhAikyfvTvHlztm/fTtOmwR9YR48eJTMzk0OHDgVtU5MwPaWCXULz4Ww+7GMpv28s9z1aWL7sY65bcw82nKiAgYKdON5y3sgDtk9R3UNtoDp15vJgEXe+t5xXm+73wNDpETsPiUQiiXVKG68ri5YtWzJt2jQmTJgQsp2qqhhGOTw4Yozq+hwkEolEIpGUjcocs3VdZ9u2bdStW5eOHTtGfP/RxMmTJ+nTpw8nT55kwYIFZGVlsWzZMsaOHUufPn349NNPsdmC+9JX9HMoj0g0//u9TFm8FcMQxMdVLNIumD1p/vd7Wbr1AEO6tGJ0r5Qy9bu0c8opLGbkzO9wWqbWmgK/vTHdU9rGrKm3Ov8ohvBfX9p5lV4GJXC/yxLBGIsCX00hktf+tZX5/GP5jtLvsyW/QWx4CwWBLhS+FFlk9uhH66PfIQpXuyLqwKPYmfZCA4WnHfcGTHepAJe3acSUWzIB5P0kkVQykZ47hR1pd/bsWerWrRuyTd26dTlz5kyFO1UTMB/yU4ZmUnzOHnMPxtrmTRMJcgqL2bNxJb21H3EkJNF5/b+Ix+kZTDVFECfsPGhbAngLbaFEOGvKTOt63+UCUBQNrhhdOSdYDciJqkQiiWXOnz/P6NGlP5OD1TqRSCQSiUQiiVXy8/M96cFfeOEFLrnkEg4dOkT//v3Jy8sDYMiQISxcuJCEhITq7Gql0ahRI7777jueeeYZRo0axeHDh0lJSeGJJ57gySefDCnYRYKyZkDKKSxm2pJtGEKgqgrje6eydvcxz7582wb7rR7KnmQew+40WF9wHMDPZhas36agqBsCTVWYNryLR/QzhcDMVg1RVRXcDnEKJaVCrH2ePCCN9QXHyxRRFSqCsDRRriwRjNVdV62ixLodJ5KZw8zIvS56Hn1sedzQYARgEe32rYPN8yH3PygId51HwUBlA0puLk40EKDhtv/hEupUITz2wCaKtx3epikIQxBnU5lyS6bX90oikcQOYc8Q0tPTWbBgAffee2/QNu+++y7p6ekR6VgsUxHvm2iitqe4NPH9vKzi3OmW2fx348/0PvgfWjp+Zph6EBs6AYLjXMKd+7Upylmj6qztTEHOHITNdhcNjThNoCBQFIFAAUW4B26Nfb2fI9VdLDbWifWJqkQikQwaNIht27bRq1evkO3efvttpkyZUkW9kkgkEolEIql85s6dy4cffshvfvMbjwP45MmT2b59O507d6ZDhw4sW7aMGTNm8Jvf/Kaae1t5NGrUiOnTpzN9evRnw7EKSwjB7G/3YAjh93s8nN/qwexJ1mPYnYYrqi/AMXzJKSxmyuKtOA2XccRpCKYs3kp6y0R2HDzNUx9tAWDVrqNe2ykKTBnqijTy7XNZHdVDpU4sTZQrS9rFWC61I+043mSpu1jV+WOa7HwfVThRPnsP9o6A5hlQtyksfRx0u6c+He6/rqg6AwSs0Ltzg7YRRRg43Nm77rct9bxfa3TyHO/5W7sGrLsokUhij7BFu/HjxzNp0iQKCgq48847SU9PR9M0dF0nLy+PBQsW8Pe//50XX3yxMvsbleQUFoftQWMOYBcdhp9nkCT68P287rvmMs6umc0U9S1UDFoBT7ikM1cVZQKntbSKdIFem/imxjTZZbTmTX0wC4wbeDHrInc03eMa4M8fo+B8HRZ9+wOrnRlsW9WOeenFNWJgjuWJqkQikQC8+uqr3H///UycOJFBgwa5vH4D8Oyzz0rRTiKRSCQSSY1i2bJlvPnmm9xxxx0AHD58mIULF5KZmcnGjRux2WzMmTOHl19+uUaLdrGEVVhSFAVDiIC/xyvyWz2pXjyq4pIlVEVBN1xOyPYQ+zHTWZqCnYnTEKzdfcwTDWjiET3cFJ+zB+zzQ/06lMnGECqCsDRRrizZrELtK9qDAGq1HWffOihYBal9Xe9XT4e8z2hmvRuFgC3vu14rGkK4nf4F6LjMik5cDv9OFBzYmKUPZZY+lGx1O2uNTuSKNFYY3emtbedE815c0vgKRicmcLulLl2tueYSSQ0mbNHu4Ycf5ssvv+RPf/oTf/7znwGIi4vD4XAArnydw4YN46GHHqqcnkYxI2eu8RLfSvO+uegwEHh7BskHanSyMLeICw6DbspOblNXccmakwxQc9AQXsKaVYizpq30FeV8xThzG980l7pwDdaHjcZM12/nPXd+6jpxKpdd1Q/a3ubZ/tOV+bzqSHXlyBY1Z1IU6QLAEolEUtVkZ2djt9sZOnQoqqrSrFkz6tSpU93dkkgkEolEIql0fvrpJ4YMGeJ5/9FHH+F0Onn44Yc9aSFvvfVWKdhFEVZhKalePNOWbAv4e7y8v9XN1Jhmesuhl7fiv5v2A2AIl6AXaBvTkdoXVXH1JalevFeE3fArL2XJDwc8EXxm/yJhXwgWQRiOKBduNqtg+4qFKLZaa8fZMAc+/S0IHRTVbeALXddKCB1riN0PRnve06+niXKG46IBTZQzHpEOIFdPQ8F1H2dkDaB/t/FR9/lLJJLIEbZop6oq//3vf3n11Vd5/fXXycvLw263A9C5c2cefPBBJk2a5Cm6V5vwFd9K877RVMXjIWQIEVUiS7R77VQ2eetXUPzjV5xukc3B/FxGHPqYYbY4srSd2CiZJAYT5XzXBas9aU17aW33td6VGeJ27ks+wKGk7nxxpi1DurRiRIjw9po6KZJ1FSUSSaxTUFBA27ZtSUkpiaiPVFFiiUQikUgkkmjHdPIGgavPwwAAIABJREFUWLBgATabjREjRniW2Ww2OTeqBkqrR2cuC5Zmr7y/1c0oLFf2TcGxs3ZPVJyKKyIu1Da+TOjbzqu/S7ceYEiXVozulcLd7np81v5Vtn2hNFGuLPa2QPuKhSi2GmvHsUbR+Zak2bcOljxa8l74C8zW9Jfgtgei4ERFEwZONJ5z3u0R6Ex+ceWlnPr5JCgKAzKak1g3rmZdV4lEEpQyVb1VFIVHHnmERx55hLNnz3Ly5EkaN25MvXr1Kqt/MYNheItvobxvpg3v4imeqypKQG+i6iAWvHYqk4Llr9Fh9dOoCIzdr7nqz1kymYWqQ+fbxjc1pjWKTrUmqsaVckKg8G99KHuznuT3lpD2sZZ9B/ssauykCFlXUSKRxD579uwptU2wtJkSiUQikUhqIFOnBn5dw0hPT+eNN97gscceY8WKFfzvf//jpptuokmTJp42GzZsIDk5uRp7Wfsoi90n1O/x8vxWtzoca5pK3TiNOM2VItN0QPYVtqzpNG2aim4Y6AbYNIWBmS09+x7dK8Wr9Eyg/lnTe1rfVwWRsLfFisN2jbPjbJgDnz0GhgG2BBj8V8j/AorWg/0s2M/5bWKKdKajvvka8Kh3/3LezAqju1faS3DZDLu2bsTIHimynJJEUospk2hnpX79+tSvXz+SfYlZVCA+LvwBc3SvFPYeO8usVbtxGoJpS7aVO0VmRSPjrNvHgtdOJDDPOalePMXn7CQezqXTnrfIuvAdCu4BNUDaS/Ovb5RdIBHP6ixottWFgkBBcXvdGKoN7eZ/sP9AEWv0zvS4qh8Ty3m9a9ykSCKRSGoADzzwQFjtnnnmmUruiUQikUgkkqjh2WdLXtdg0e6RRx5hzJgx/O1vf+P48eMoisKTTz4JwLlz51i1ahWTJ0+mX79+1dzT2kU4dp/y2plK2850OF6UW8QHG/axYvshbJrKyJ7J3N6tDYCXsDVlaKZXOs3r0prx5fZDAAjDP2tVacevTkf1SNjbAjls1/ZsWZXOvnUlaS8BnOe9o+p8EJ7/3MKdxYlfB/KMtjjQ+FD0Y57uKoOTq6dxbcdLGN2kHgpwm8WRXyKR1F7KLNrt3LmTd955hw0bNnD48GFycnLYsmULmzdvZtSoUWiaVhn9jGoeG5QecoD0HURzCouZ/e0ezBq6dkf5BuyKTjh8t58yNDMmvHbKQqBrP2b2Wjo785igLSFLOUB7dT+ae1QNFiHnm/LSN3rO6jVj7uOoSOTAJVeTWbwCVRgotnjmJT2IdvAHBLDEuI7Hmw0nq3sSd1TFxZBIJBJJlfL666+H1U6KdhKJRCKRSKKGfesisptRo0Zx9OhR5syZQ0pKCo8++ijXXHMNAKtXr2bixIkA3H333RE5niQ8SovWKq+dKaewmFH/XuvZ77v3B94uq20Sa3cfw2kIDAG6btC6cV2y2ibx2sp8L2Fr6dYDntSYuiE89bwC9T2cfleno3pZo+SCiXFWh+2yflZS4AuTfetg87tw5hAc3FIi2JWC1SboFK4AD12AgsJ6PZ0X9DvJFa66dKN7pTAapEgnkUiCUibR7vnnn2fq1Kk4nU4AT/26c+fOcf/99zN//nw++ugjEhISIt/TKMaMUgP/8PpAg+ja3ccwLKFYqqqUSyArz4QjVGRd8Tk78+7LZmFukVeu5VjFeu1tqsL16c1pfGwj08UCBsZvsGa+9IuaC7TcNx2moriKJc/Xb2CR3pcJ2hIG2nJQcEXRHbtpDpf3GODJfa2k9uV0fhP+8fMODAGaQo2NZpRIJBJJCRcuXOCzzz5j06ZNnDx5kkaNGnHVVVdx8803Ex8fHSmyJRKJRCKpVdSSFJVhYRqoj+TBsZ9chuoIYZZX8WXgwIFhpRCXlBApwaW08hrlFbYW5RZhd7qyCtmdBotyi4JuF0zA8l0+pEsrvt99DLsuEMDXO48w9ZZMis/Z/foeTr+rM71kWcqahCvGleWzqqoow5gVBs2adXWbwme/A8NR6ia+DvzgiqZDqDiw8azjbpooZ7xSXypAQpxK5qWNAt7HEolEYhK2aPf+++/zxz/+kb59+3LnnXfSpk0bfvGLXwDQq1cv8vPzuemmm5gxYwa/+c1vKq3D0ciof6/FqQce+AINouZEwe40UBWFacO7lOshXR5PnXAi68zJ1sLcoqiuaxdqMpBTWMy0T7Z5IupaKMXs3tmS4doaNM01kQyW+tKKJ/90gLYADmws0vuSK9JY1uVFBl/tgIJVqKl9yTCL0yb39BSqzTaKa1w0o0QikUiCs2jRIh588EGOHj0KgBDC4/TUvHlzZs6cybBhw6qzixKJRCKR1D5qSYrKgOxbByuegSM7Xe/PHa3e/khKJdKCS6DyGtYyIlabRVK9eF5bmR8y5eTa3cc4cvqi13Lh19L7+IEErEDLt+0/yfzv97qi7XSXs/lD/Tr47TMc+1hZhLPKINyyJuGKcWWxCVZFlGF1ph8tF1ahbtnvwXmB0Heuv6O/cP8rMpoxQx/GTpHsV6MOQFPhueFdKT5nJ6lePNOWbIud6ySRSKqFsEW7l19+maeffprnnnsu4PrWrVvz8ssvM3ny5Fon2pneRIEGvkCDaKQmCmXdT7DIOuv21nQEdqfB9BU7mTwgLeoGkFCTgZzCYp6fOYcR6ipGxq/EhuvzuZKfgOC153xr1VmXma8VxTUgb9Lbs02kegQ7BejYIhGSO3gEukBU9yRRIpFIJFXHsmXL+OUvf0lCQgJDhgwhPT2d+vXrc/bsWfLy8vj666+5/fbb+eyzzxg4cGB1d1cikUgkEklNYt862DwfzhwBBJzYC0fyQT9fpd347LPPmDFjBuvXr+fEiRMkJSXRq1cvHnzwQQYPHlylfYlVKltw8bWvjO+dyrYDp8hs1TCkuOCb3cimKei6IE5TPDXqghFMwPJdflu3NizMLSpVmArX1hKucFadhCvGWWsEhpaaqibKsDrTj5aJDXNg41yMn3MBgUBBxZV+1byOplnQV6QDOG40YL3I4GvjCq9IurZN6lF04jy5ehqqAq0b1+HSxnVJa5HolQLTNw1s1F4niURSrShCBHoE+dOoUSMKCgpISip5kGiahq6X5PY9f/48rVq14sSJE5HvaRRiesq3fXKJJ8Q5kIdEtISHmxMqc5AO1ldz0mUIQp5XdfLaynz+sXwHV7KT3tp2GmS4ile3O7ORo0cO80vnx9hcgel+KS59/wZbZ27r+w1xoLGg879YeORSfjxwCsMQQa9ntBEt96JEIpFUJeZ4HeaUJ2L07t2bhIQEPvjgA5o1a+a3/vDhw4wYMQK73c6aNWuqtG/VQXV9DhKJRCKR+BHMk7OmHHvfOphzM+j2sDex9kR99pRrWQX79+ijj/Lqq68G3I+iKDzyyCNMnz69QseoyZhzpw0Fx0u15VQE075iuOtwqaqCIQSqoqAbrtSUmgK/vTHdK8rNup2mwMieKbRuXDes9I9lsUtE0o5RXTaRyjrnskS3Vfa5h2NzrFLM1L8IaHklHNwMO5bB6f2u553wt/kFKp1jACeM+hiKxgf6tbygj/Y7lKbC+w/0ASj1GkfddZJIJBEh0vaOsCPtDMNAVdWQbQ4ePIhhGBXuVKwRrymM6J4ctHhotHjyhON5ZLaZvmIn3+46iiC6PD+sKRv+aXuNYepqBGDs+gANw6sWnzn4WgW4QH/N9aZIaUUAKJDXbAgXDu7gkGjCbGMo/Zp3Y/HIDjElggWazEHpEwqJRCKRlI/Nmzfzww8/BBTswJUec/bs2VxxxRVV3DOJRCKRSCQ1Cmuaty3vwc+bShXsPA6r7vdmbaYToh5wqsJdeuedd3jllVe48847GTVqFBkZGZ6MA9u3b+fdd9/llVdeoUePHowZM6bCx6vp3NatDYr7b6R/u1ujsBTFJdgZwkzr7ro3AkVn+UZv3W7pWzBbSXlSKJZmU6sMgSuSVMY5m5Qluq2ybZPRkFkqb/0Kin/8itQGOq22/huEy5nf14Su+CzzLZVjbqMqIITKG8ZQZujDvdarCkzo247EunF+aV5DEQ3XSSKRRD9hi3ZdunThH//4B9OmTQvaZubMmVx55ZUR6Vgs8e6E3jXqIZvVNonJA9JYX3C83KHzlSFmzf9+Lx99vIjhyv+4Qs2ns1YIuD3BREmdumARdcEi7ABedw6lnXKQQdqGEhEP0NxHaJjShVsPjsOhu67HH9zXI1oE2XDwncwtyi1iobt+ocyjLZFIJJGnbt26tG3bNmSbtm3b0qBBgyrqkUQikUgkkpjGFOdS+7rKMrjTvPHzRqDEgdrLGB1gN7612gUKOuAgjl85ngB+W+Guvv766zz33HM8/fTTfus6duzIsGHD6NKlC6+99poU7UrBKvjcVkrayfJgFRGS6sUz9eOtOHRXhJ0QYFMVpgzN9LMXBBMfQolUkU6haB7rosNAUxWmDe/C6F4pAdtWV/rGyjxuVaS9LAvVaSMrWP4a7Vf/Hyo6KiAUy/NP+Ac5BxTqLPZAJzY0YeDAxlqjEwM7t6BfenO27T+JAC+RuqzEki1RIpFUD2GLdg8++CDjx49n1apV3HfffR6v8D179rBnzx7mzJnD/PnzmTdvXqV1NlqpjgdteUSxsnj3VMTzI6ewmFH/Lgn1fvf+solB5rnd0KCAjAubyatzBe+sKaTT4U+ZZ/uaOHfaS99Q9kCRdNaB2NpWWNwJc9qMo3HX3/HTOTuFjs9JKljKLrUd3Q68B4YDtHhaX3kj8y7vGNOeML6TOQEyj7ZEIpFUItdeey0rV67kxhtvDNrm66+/ZtCgQV7L7r33Xt58883K7p5EIpFIJJJYYsMc+OwxMHSXJbpuUzh3NGBTqy06UOkHA5jpHMoZ6rPW6ARAtrrdU5spEmzdupWlS5eGbPPwww/z17/+NSLHq8lUxe92U0TIKSwGRUFYpF8hBMXnAkdu+ooPOYXFTF+x09Nnu8Ng+oqdTB6QRlbbpIAiU0WcvtfuPsZFh4EAnIZgyuKtpLdMDLifqha4rJmiwjluea5DTYnaKtc9YHViAJLXTEFFL7EF4nJgUPB33Pd9b302rjcyeMF5J1DyXOzZdzC/v6lTRU9TIpFIwiZs0W7s2LGsW7eOGTNm8L///c+zvEMHVz5rIQSTJ09m5MiRke+lxIvyhvSX1bunvJ4fi9zRW+CaXC7KLfKbxAUbjHMKi7lz1hpuFytoHzcHXTG4TGhMAeI0Z8DBFoJH0Fmxpv84qDTH1rAFzfreR/fu4+nuadUBeMj1ft9dXl6MWVSPQBuKskxsfCdz4PqsosUjSyKRSGoaf/vb3xgxYgQHDx7kl7/8JXXq1PGsO3/+PO+99x5z585lwYIFXtu9/fbbUrSTSCQSiUQCXzwD2z+Gxqmw+6uS5YKAgp3w/OePEGCg8IWexSx9qJ84l6tHRqwrOV7pNV1kndvwqCqhyRTcnHpJ1Gaw1JjBth81aw12XXi2NYDV+UdZX3DcY7vytUtUJGVlUr14b0FaiKC2rqoUuHztdlOGZlJ8zh70uBVJ3VnRqK3qLvtS2rlb+wcu2+bNjs9JXTsFYeiusj51LyFeOP2c9YOVELW+XqRfzXnquF/3JVek0allIslN6nEicQBPV0JKWolEIimNsEU7gFdffZVBgwbx+uuvs379ek6ePEnjxo3p1asXkyZNYsiQIZXVz1pFaQNmeUPrq8qryHfabX1f2mC87ZOXeF/9mK7qT2i4PWJwAmYu6ZKB1zeUPZSY596RaxnQKmsoDP1/oU8kuafrX5QSibzoNcEjSyKRSKKVwYMHc+rUKe655x7uuecemjZtSoMGDThz5gzHjh0DoEWLFmRnZ1dzTyUSiUQiqWamTg38urawbx2sng7HfgItDnSHqybd8d2u9ebfAPgKdbuNFjRUznFK1OcU9XlPv56dIjnikXSl0aVLF15//XV+//vfB23z+uuvc/nll1dJf2KZ0n63R0J0saaZNGt52TSVO7LahJ0GcGFukUewA2jRMIHDpy/62a6sdonXVuaXO5Iwp7CYaUu2YZjRU7gEzlC2rqpKS+hrtys+Z+ehfh3Cau8bnViZVFedPyuhbJzW/o3SvmKcupRbuEgb5WhJ+ksB8eeO4H4JBE59CXDcqM/f9Tu5R1uKwv9n78zDpKjuvf+pqu4eGBhg2JeBYZ+BAZEZNiUEEVGJKIoLiwuYxJA9PvG9uffRiEqi5r5J3utdvInEPbIogktQjEJQCWGdiQrIIstsgMDAAAMD091V5/2jumt6nekZejb4fZ4HprvqVPWp7qo6p37f36Lxonkjy6zJUe2mjehZ4+8lCILQ0NRJtAO4+eabufnmmxuiLy2eZE6Uahow6yu+NZZX0e25Gby5rQSfqXAbGreH5FyvaTAu/PBZ7j3+H3aROggLaYfwmnTUsCy0mLYC0EDrPhyO7QbLD4YHRsxukGNvTJKRF13yaAuCIDQchYWFZGZmkpaW5ixTStGmTRvatGkTtkwQBEEQLmueeKL69eUk2m17GTb/AY7vTngTFfUCCsz+nNXasNocE9MAbbdpHLEuyPe//33uv/9+du7cyaxZs8jOzqZNmzacO3eOXbt2sXTpUpYtW8arr77aqP1qidQm2CVDdAnaFxS2SWb8wM4Ji0ZBW1hZRVXY8isyOvDpV8drtF1djHN5sM8E+zwo8T7HO4Zk2crqelzB9l6fFTM6saFoqjp/ocT8rgKpL08Xm3xH7eNaYyu5RrjzgkbNtekibYUAvzVnscyazDvGFM77rOgNAbehSSYqQRCanDqLdkJskjVRWllQ6ng2xRsw6yK+RU48GkOkyctMZ+n3rorZv3H9O6FrYAUG0H6Fyyl48kO2tPoG3zq91BbYYolwEe9jYWoaOpodhWekwNj58PUXMGQ6jJoXXbS7hdPcCg4LgiAI0Rw8eLDO2+i63gA9EQRBEAShWZBhQF8DUjRY9bMamwaTxgRfB4W6YqszFaoNPs3F6+Y1cYW6UFy6ht9qPEehuXPnsmnTJp577jmWLFkStV4pxY9//GPuvvvuRutTS+X3H+6Ja2dKlugSaV+oi2AXtIVpmoahg2XZKTXnTxzA/IkDarRdXYxzeX37XNMxJCvarK7HFWz/zJq9bNhX1mgiWnOwK4V+V5PbFpK98cewZzUok0nANUb1fTBebbpYy4LvD5jdOaO1ce6V3/9mf6bkdGf2oo34zOrqjRowum86/zp1iDi3C4LQ5CQk2vn9fpYuXcoHH3zAvn37OH36NO3bt2fw4MHccMMNzJo1C5fr8tb/kjFRyi8qZ/m2EmfAMIz4A2Yi4ltThrnHKka86cAJfIWbeFxfCTq05gJTCzcAMNJbgIohxgUH26BwF6uIdjD9pWvaM9BtaHxhrpmnu6wrl0rBYUEQhEuVuXPnNup2giAIgiA0Q4KpLyu+tp9T56Y62WVqRVUH1FnAfqtX3HRuNXFlRnum5HRn0fr9nK70x23nMjSuzerKn+q09/j84Q9/4MYbb+SPf/wj27Ztc0qsjBkzhh/84AfcdNNNSfqkS5ua7EzJEl3qa18ItYWhFIYGc8b2YUZISs26lvFo6D5HcjH2vJoi9Op6XHmZ6Tx43WC2Fp5sNBGtye1KAef6vL4TyEv7Et77OSgzrEmwVI4W8lfTasi8pcAEtlsDONL/Tk4NvZvXtxbTrV0rVkwc4Bzj0u9dxTNr9vL3r8qclLATs7qKbU0QhGaBpmrJybRx40bmzJlDcXFxzPRNmqaRmZnJ0qVLGTt2bIN1tDmiBRQlpZQjkAUH1voIZM+u28fvP9xjR6EBs8f24anbhte7f6H7MzT4+fVZTZKTeffWNbz37nJaW2eZ73oPPaLqXeggGyt8PVY7C1DobGk7iZz2Xtrn3mFH0zUgTV2cVxAEQagfoeO10HTI7yAIgiDEJVa4REv+vG0vw4e/BG9F9LpI6zMREXUh3fGjs9bMpYz2rDQnXHQ9OpcO/hgZ4QwNZo2pFlpkzG4eBH+H/v+2qkY705LNxazecYSpw3owZ2yfmPuKZ8+ozc5R2/olm4v55dvbnbpyOvDQDU1je6ov9bXnNZSj/CVveyrZwqHPPuTI0WPkHlqMpvxh0W6xSuRE3DKjbtuVyo1HM9FQKHQe9c1jmTWZf6nlXEyGLVcQBAGSb++oMTzuH//4B9dddx0XLlwgOzub6667jgEDBtC2bVsqKirYu3cva9asYd++fUyaNIm1a9dy1VVXJaVjLZHbczNQgb/1ucmnp3rQNQ1QeFx6WC24+tCUYe7BScaMk39i8PbnyNJVWK06iJ9jGnC8XILtgqlA7Hp1GqXpYzl/9b9w9ejrGuFomkdxXkEQBEEQBEEQBKEZEizFcOGMndatbE9CmzliXVhEncZWM4t99EqKUBf2eQqmDO3GBZ9JTo92VFT5L8qGkQxeffVV7rvvvib57JbCz6/PqlFUW7hqJ16/xdbCk2R1T4tqF8+eUZudI5H1j/9lpyPYaYDLpXPo1Hnyi8qb7Jyqq+iVjCjDZKayTEZZm+Yo/BV++Cxpn/2J9MpCeihFz8DygBnUeR0aTRe6DMKFu0NmR5aoKWyyhvAZg7mxXTH9zv2TjeYQCtRgPAnUpmvySENBEIQ4xBXtvF4vs2fPJi0tjWXLlnHLLbfE3ckbb7zBD37wA+bMmcPevXtxu90N0tnmSuREpj5iW3CiZVoKQ9dYMC2n0XNoJ4vg93Gr+RHd3S+E1akLdWiMqk0X6uxIhBcNGkrTMAL16jJn/KpRU10mK/2pTAQEQRAEQbiUkfmOIAiXBSVb4PMlgAZVZ2HHm6BihLBFoABLaWiApQyUpqErCxOdv5kj6xxRF6wXnyhul873Q9LDNQfuv/9+Ee1qoaZIoURsFfHa1LZtTevzi8pZ+BdbLAwyoGtbik+cY9mWYlYWlDaJs3N9Ha7rI5Q1h3pwsWg0p/Ogs0Ks8jQR7co/+i2ZRR86i+JF0AXXQbSD/x6zJwONI+hK4cfgp+ZPnXvlU7cNZ87Ym8gvKudUQSnZJO6MkAyRVBAEIdnEFe0WL17MiRMn2LRpE8OGDatxJ3fddRcDBw5kwoQJLF68mHnz5iW7n82aZAg6wX3YYpWivNKblL7VNvhcrGEluP1Nvr/St2gF+L10OePnVvNqphpbgPCCsZHRdZGeM5YGPly84L+R77veA6WcdeVZs+iSMbD2CUEDcLGTMYnUEwRBEAThUkfmO4IgXJIEDdOtO8G+j6BoA5wvr3GT0FRvkekuH/XfT0etgk3WUADG6bvYZA2pV0RdxzYeTpz1hhWgCNZ/chsa3xreg89KTnFl7w4M6pbWoA4V3/72txtkv0K13SU91UN5pTfsd0zEVhGvTW3bxlsfHO8v+MKF6jYeA7+l6m0bS4bjT0NFv8WiuUZpNcp3ULIFXrkFTC8YHnbf8Bprz/a1vwf9K7s2XXkhpPWEsj10CGwWS5yLdOgPvWeeszygafzVGsVD/h+Ra+5lnL6LrdpQjrYfzkCPi2+P7+ekhRUBThCES4W4ot2qVav48Y9/XKtgFyQ3N5cf/vCHvPvuu5edaJcM75qm8NBJJNVB6ORj99Y1lH/5N9KHXkv26OvYvXUNn/zFrlWXaaxCBQba3gqedu9ipTkeiBboQoW70NcmOrt63IY7dw7qbF+KfVfTZ+MClLLQXR66fOP+RhfrglzsZKwxJ46CIAiCIAhNgcx3BEG4ZAgV6lb/i22YroVQoS74Jrhsp5nJZwyMGUVXYNY//WXZWW/1Z2JH0j1+c06UsNMYvPzyy/XaTotKwSNEcvfzm6jyWU4ZkaD9Buyxd8G0mn/zePaM2uwckev3fF3BM2v20spthEXYAXgMjZmj+7Dn6M562bWS5fjT2La15igSJf07iBVRV7jevi8qE2V6ef8vy9ngz2aQsQrT2IZOwGmhyk4VHMyAGRlVF6/0004rkwX++znfLY/eHVNRwN1pKeT0HE55pZd/a0YiqSAIQkMQV7TLz8/n4YcfrtPOZs6cyR133HHRnWppJMO7pik8dGpLdRA6Yfqv8T4mbPwOA/HjO/An3t/xc64t+n/8TPOhGfYo64y7ARHuBn0rR60OdNNPVUfSAZpuoCkLNHu7oGD3hPVtbr3xlwzPTCcbgIEwZHRi4faNwMVMxppr2gRBEARBEIRkIfMdQRBaDBkG9DWg0LTfh0XTfWjXpXM8TOOnvaxJqFtpjqezdobV5hiWWZNDNgqxUidJsLoioz3X53Rv8mifgwcP1qm9UooBAwY0UG8uHYJZmQDHfrOyoJQVBaUJi1zx7Bm12TmC6/74yX4++vKos9yl2+e9oWvcOao3MwJlYm7PzahXncRkOf401+i3+lDfyMP6fAdLNhezescRpg7r4UStAWERdZbuZuXwP9Bv5CTyWndy7mWWMrne2sjP3MvQAUKFORU/oi6IqeACHk6pthwnndfNa3hdTWb+hP7827eGJHzcgiAIlxJxRbsTJ04weHDdPL6ysrIoKyu76E61NIIFdpNRg64xJxTj+nfCpWv4TLuO3uS2hbD+HXa3GsEzX6Q5nlxen0Vh/l+5Fj8uzQLlp82B93DrPgxNhT1zhHrNtNG8tNG8znKARf5pdBl9O3dU/Blt/8eAhdI0dvW4jVtv/GX08fce0+RiXTK4lCaOgiAIQmK8+uqrAPTr148JEyY0cW8EoeGR+Y4gCM2eki3w+VKYmwo6YALbXo4bTadUhINqcDnVQp0VeO3H4Hn/VHL0omihLknYIgmYFmEpMWeO7hNuaG8C+vbtS2ZmZp2369OnafvdEvC4dLw+Cws70s7t0m1bTSNEt8dLhZnTM1woDnX81jWNYT3b16k/dXX8qUnQao7Rb3XlYiMP6/IdLNlczMNvbSdX20vpgV28urUnN3Y6Rtc0D+XHDtHBfwENhfKb5BX8G5/nDyTX+AfBu5CuIMcoAqKFucioutByOQAmGnf5HgsB2Ix6AAAgAElEQVSLQO7YxsOb941q8b+hIAjCxRBXtKusrCQtLa1OO0tLS+P8+fMX3amWRm2To9q8Y5KRt7s+nwsERlDFldpXDP7gKZTlJdNykeG/lx8YZ53c+h+cHcg8j4alQEORonxOfv7QVJdhuw2s/8rqxdd0ZLU5hreMKSweOQ70DCjaCKYXzfAw/Fvfh96X9oB8KUwcBUEQhMSZN28erVu35uc//7mIds2EhppzNdb+WwIy3xEEoVny0WOw/Q2oOArKBAPnWZj1v4+f/jIklC4yjZsiUKPOdz8dtepnZ8z43Wjt1jnv9YOm16n7mgbzJ/QnrbXbETOe+2Q/R89caBaCHUBhYSF79+6ts/N3XaPzLkeC0WvDerZ30mACrCwobdDo9vyicp5ZszdKsINooTg0Us5SigXv7CCre1rCc4K6OP60tBq69ZkfNkbK8WC/lmwpJlfby1LPr3HjRzsOHAelQYeQCGId6Ksdpa9mR1yGZtuKR+R90wo4OmyzstmnerHSnMB2PcsOtwvwf67Pata/pyAIQmMQV7QTEifW5Ci0UPDCVTtrrBsXnGy4QtIKXOwAlcgkZkVggqeA0exEmV50LNz4WOh6GQ2FX3Mxp+phrtO34cYEDTSlGGvsxkTDIHbNulBetm5EG3U/GR1as9iZpIyBue8mPfWlGMsEQRCE5oKu66xbt44xY1p+xPilQEMbeFqaAUkQBOGSZ9vL8M9X4cwRqDgcvV4p29h8urg6co7qKDq7jANYGLiUiUJjq5nFPnqxw+obLtQlQCu3zqPTcnj0zX+iKz+mbmDpRkLbKgVprd38aNJAZ9mi+0YltG1jcsUVVzBixAjuu+8+Zs+eTceOHZu6S5cES7cU43HpUSknF0zLcVIaNoSgE5zXRHL90G5RQvG4/p3QNQ0rmDLRUnUWmhJ1/GlJNXTrOz9s6JTju7eu4eN3l3PcbMPv9Q0Mdx/Ag99xynfse4RHxznrQ/YVz4E/tP1n1gBeN6+Jed986pZhALHTcwqCIFymxBXtlFIYRmITyMudyAE3Mi2ApVTcyUToZMNrKpZsLmZFQelFG3o2HTjhpLes8lmsKCiNEgvfzC91HAdP0RZLaSg0FDo6Foam0PHxG9efGKQfAgIDczAftVJYaOhUj9jBwd1S8LXqyP+Yt7FSn8LiWEJkklNfNidjmYiHgiAIQvfu3cnOzq61XXFxsaSGagQa2sDTkgxIgiAIYTz+eOzXLZGPHoNd70KrdDicH7vNeQUH/FCpwFQoCzTTDsDDspU6Zdn/tvmyOWu2prs6yUmzLRWmm67WEa43S3BZJhOsTbhME7flx2WZuEw/bsvEZfnxmH5clh+Xab9vhYX7aT9zTDsU70e3/IL3hnwzrGtj+qYzMasr6akeFryznaBe4mkhdUIPHTrEkiVLePXVV3nooYeYOnUqc+fOZdq0abhc4jNeX2LNLfKLyh0H8a2FJxOOakvUVrGyoNSxKYXicenMnxhdhzAvM52F04ex4J0dWJbC4264c7Yl1dANtc15fYnPDxsi5Xjwt5/ctpD+78/hQd2Lrkf+wnFEugibX+TryAxcwcTCpgIfbn5t3suhtsMZ178TO3Z8DX7LiSAOinQi1gmCIFRT46xJRYZMJYCWpELKLZlQow1KoesaGirmZCI42QgO4orkGHrSUz3O5EoBy7eVhKVSWBkoWAyQq+1lgevP6MpCoVFsdaa/fjTgPaOqBbsIj5mguBf2k2vgV+DDw4PWzxg0anJswS6CZIhczcVY1pzEQ0EQBKHpuP3223nnnXe49957a2zXr18/TLOGXFpCUmhoA09LMiAJgiCE8cQT1a9bmmhXsgU+XwJoULgByvbEbldpwW4/7PKhDphoIcFDWsTf0OXj+CL5fQ7gssLHfkPX+NepQ5xnx6zuaawoKEWDpGTjaWgee+wxOnXqxE9+8hN+8pOfsHv3bv785z/z4IMP8t3vfpeZM2cyd+5cyUBQDwwNDEPn0Knz5BeVk5eZXi/7R6K2ivyicpZvK4kS7DTgjrz45+KcsX3I6p7m2HYAnl23L+nOzC2phm6obc4KvE+UZKQcD9raBlV9yY5/vEemVUJX/XMMrQojhiAXJLL2XOjyyDahy86qVmywhrHInEaK2+Dmdvs5030cD0+40TmWe8XJXRAEoVbiinaaptXLgCTRedFGmwXTchyxLFaB3MXfHceKglLezC/FNJNj6Cmv9BLI0E+utpdx7OLNt/dQoAbjChSuDjLDWI8bL7pmC7X99UB+6hoG8J1mJkuZwuPuV9AC9e3QDPJ73cO6wgtsNIfwOYOY2KF1vSeOdRXymouxrLmIh4IgCELT8tRTT3HPPfdQWlrKnXfeSe/evUlJSYlqVx8nKaHuNLSBpyUZkARBEFokQYHu+F6oPAGGG47utEPiIlCAdjYg1H3pg0LTqU/XHNyMfbqBHjL+a8DM0b3Dxo6WViP0scceC3ufnZ3Nk08+yZNPPsm6det47bXXmDJlCj169ODee+/l3nvvlUwDCTJrTB+Wbyth2ZZiVgYyM9XH/pGorWJFQSk+MxgrBXrgonEHUnTWRPC8bWhn5pZyfZRX2rY2S9nfY3llnPqZSSRoS/vqaAXvfHaYmfpa5rtfYopm2fU8A0Q+gkTGYIRG0YUSKdQF92OiMdf3b07qyxFd2zPnxz+N6l9L+e0EQRCakriiXX0nTzLpqrvRJjhg3Z6bkRxDT8kWbj37IZ+42uI3FYs9T+HGjw8Xd3sfBgXjjF1ssoYwWCthlvE3NBVSY7sGzxktEEn3ZadrmTHjl7j1mfD5UkDBiDlo1iBeeH4TPi5u4rjn6woWvLMD01KkuBOb4DUXY1lzEQ8FQRCEpqVdu3YAvPvuu/zyl7+M206yFCSfeI4/DW0kECOEIAhCktn2Mmz+Xzh9GLwVtbevsFC7bKFOFZlxBbqynulUdk+lUk9hr9abQ3oXfLqB33Dh1w18ugu/EfgbWO7TDfwhyycM7cHHB8q5gI7lcuPTDaowUG4XVZqBV3M5+/QZLjS3i5e+9w345jeZPedpfLptjtEBj7t2MaQlM2nSJCZNmsSzzz7LypUree2111i4cCFXX301c+fOZd68eU3dxWZNzw6t8VvhZVd+NGlgne0fidgqIkupuA2Nx28ZFtcRPR7izGzTmPah/KJynvtkPx99eZSR2l5mGOv5rmsfQ40iNMLte6HpL+MRT5yLfL3ZzGYfvSgbMIOCPdW/8czRfZx+NbWdThAEoaWhKXHvrjdBI1tz+Arzi8pZWVBKxrkdzD/4IJrlxYebd/kmt1prcWkWptL4yMxjovEFbvyY6Lgw0VFxQ98jMbFTXxZNW0r26Ovi9qUuA3LQAys0MnHBOzvwW3aHdOChG7LCim43d2RSIgiC0HxoqvFa13UmTpxYYxulFOvXr78s0mM21u8gaaoFQRDqSDyrbGPS2wVXuKCtDrfdCm27QdVZ2P5G7duetlBf+mCXH60k/ni6tddQPsi6mg8GX82hdl2iPFSHdE8DYNfX1eJgrw6tOHTqQtS+DF1j5ujeLNtSjKXs9IUzx/ShV4fWdj26d3fgD0Qq6RpcN6Qb8ycOsMcjTSO/Zzab+gwn/Znf1VkMaQwacswuKSnhlVde4bnnnuPQoUP1zvJ0ORD8HbYVnnTmNrqmsXD6sFrrf8WzSdS2/PCp8ywNnNcadsrLJ28bXue+R9p5LmY+1lD2lfrst7G2qeu2+UXlzFy0Eb+pyNX2sszzK9xUX1eRt/lEfAYj69oFX5tKo8TIoNzv5nX/JJZzHb8KnJNLNhezescRpg7rwZyxfWReLgjCZUOy505SCbiFEWvAzi8qZ/afNjHM3M31rhUovQpdU+jKxwXTwjI0lAIdxRQjH1AYGmjKQie6cGzw7xmtDWmcx868rXOy/y18pXqRPvTauIId1N3LPDJCbtOBE1ghJ7iuay0uWk087QVBEASAdevW1dpG1/VG6Mnlg3h2C4IgtABKtkDherhwxv47N7U6bdvu92rfvjwo1PnQDlkxI+osNLb0zuH9rPH8dfBVHE3rXL1SKbAsdKWYPLwn3w8Ias+u28fur/fY6TWB1p5ok4muwa+mDyOrexorC0odUeL2QN25Z9ftw7KqUwvOHhMteuQd3k3e4d0wNgFR8hLg3LlzvPnmm7zyyit8+umnKKVQSpGamsptt93W1N1r9uRlpjvOzaalWLhqJ1nd0+LOb2oSSmLZKkLbu3QNl6HjN22BMKdn+5j7r01ISlYmpIYSfeqz3/r2pb72odpKyaSnevAc2Ubnsi2sLzV5XNsPLrhS24cbM64wV5tgF2lvDr73o6Mp8OFi2xUL6TdyEr0PnOCNkN83q3sa5ZVesgJOEDIvFwRBqB8i2rUg4g3Ymw6cYJi5O5AG04eOwq80THQ6cxodO8e/puHkzVcKlFP1DmcZ2BKdpkF7zlV/uKbRud8VdJ7wUIMcV+REzuPSw7zIZFAXBEEQWhpPP/10Qu1eeumlBu7J5YWkqRYEocXz+OOxX18qbHsZ3vs5qJDoKoPaLcknTNSXdupL7evYQp3S4ERmOm9mTeaFgdM53jbOc6SycCnFwg//wJzffgDYz6WHT53HbWhOKsL9x86iA6FV8zRwBJNYokTkODTjEk57Gcqnn37KN7/5zbBla9eu5ZVXXuGtt96isrISpRSapjFhwgTmzp3LnXfeSdu2bZuoxy2L8kovllIoahc/QoUSbwJCSZiwYipG9e3AP4tPxRQI6yJcJcOZuaFEn/rst7EFqMjPW1lQyoqCUpZvK8FnKmbpa/m1+yV0LCZCWL26IImkwQy2C42o8yudd62r2GplM9XYwmpzDHtVb8bpu9jKUP5t5KSo3zfWuSHzckEQhPohol0LInLAXlFQyqYDJ6g472Ocvgs3flyawlRwyOpEL/0k1xvbwnJXE3htKVhj5nGt8c/qkHnN/k93GjtV7sDwQN8JST+meBO+unhkSSpKQRAEoTnyr//6rwm1mzt3bgP3pHnSUON3c6lxKwiCUG+eeKL6dUsW7YLRdK07wfbX4fDntlDnj0436RCat00pOG7ZQt0uH9qx2EKdTzfYkHkl72eN56NBYylPjY4MAvtxt32qm1OVPtANLMukPLWdUwdq7e5jKKVwGTrDe7Xji9LTdsSdZpdsCATPocAx1scSJS7XcWjSpEmYpsmePXt45ZVXWLx4MaWlpU6aqP79+3Pfffdx33330bdv36btbAukLuJHeqrHOV8tZb+PRX5ROSsKSimrqEIP2IkUUFB8CsuKLRA2tnDVUKJPeqrHsX0lut/GFqDG9e+Ey9Cd73vx5mJytb38t7GKoe5CeutlQFSm37DXkcvi1akLtRmuNMfzkP9H9nLgDTXZOZ8+V1n8Ko5jfaxzoz61FwVBEAQR7VoUoRMETYPXt5YwQu1hhrGeztppLIJpMKFPxOAdOYCbGCwyp/ECN/O/OXvocnYPHP4nKAvQQDfshroBI++BEbOh95iY/boYo1u8CV+iHlmSH1sQBEFo7hw/fpxXXnmFrVu3curUKdLT0xk7diz33HMPXbp0aeruNQkNPX5LmmpBEIQmJlY0XRxsYSxYBwS0o2Z1jbqy2EKdaegU9BvCssHX89GgsZxpFR6t1T7VRVuPi14dWvNZ6WlM0zayzxrVmz9+egCUwtJ0KjypTh2oIH7TYliv9uw5WuEY5+dd1Zfn/34QSyk8CRjrL8dxSCnF2LFj2bZtm/M+LS2NO++8k7lz5zJhQvKdgC8n6iIGl1d6nbxKeuB9JPlF5cxetBGvWZ3KNYhSCkPXUDEErcYWrhpCBM8vKmfhqp1YSqHrGgum5SSc5rKhBKhIu1rQmWCYuZtxxi7aco5p+mYy9ONhv1WkOBdKvDSXkVF1FqAHlvkVVHUYhFYWOH80mDykG0fPXKBbu1bVtTljEO/cuBzvh4IgCBeLiHYtgKD3kwbMu6ovf/niMIdOXSBX28NSz6/x4AfsnP0QXZsuEqXBo955FKjBGCa80X0aPxp4El65BUyvHVV342/g/Ak7ui6OWBfs28UY3S52wif5sQVBEITmzPLly/nOd77DuXPnwgoSL1++nMcee4wXX3yRO+64owl72DTI+C0IgtACCUbORT4jbnsZNv8vnD8FrTqApy0czndWB+vDxcJO8KJQRy3YYdeoo1zFbF/lclHUP4P3ssbzwoDpdOjWkdJT1VF7Q7qn4XHpXNW/Ey9vLKTi/AWOV1RxTVZXuqSlMCM3gxUFpXbjwMPymoGjwwQ7AF3TmJGbwYzcjDAj+pSc7hItUgtbt25F13UmT57M3Llzue2222jdunVTd+uSoC7O0uP6dyLFXV1yJFak3aYDJxzBDuzr1AhceG6XzoJpOZRXeqM+rzEjSUOP+UeTBiZlP8ESM8F5qIaKKWrGI9kCVH5ROf++ehdbCssB8Bga3x7fj0XrD3Ale1nseQoPXkIrYMcT6EJtgKHvq/RWpKgLYQVygn//4J9GserGr9wvoykLS/eQO/FmUt714fNbGIbOx3uO4bcUe45WMH/igLjHcrlGGQuCIDQEIto1Y4Ji3etbizFDkujnanv5gWs9OVohbvzVnjWB/Oao2MJd8GHp6PDv8/Zn12CoEKGs90CY+27sh7AauFij28UO6pIfWxAEQWiubNq0ibvvvpuePXvywAMPkJ2dTZs2bTh37hy7du1ixYoVzJkzhz59+jBmTGLj7qWCjN+CIAgtjJIt4U6eY+fbz47lRVBZVt3u7FEgXKgLi+AJvFcAp2yhzvuFIuV4bKN5pTuFv/Ufzeqs8awbMIpKT7UANLJLW344aRCrdxxh6rAezBnbB4Bn1+2rrudlKj788iieQG25SFv3BVersPcahNVUjxQrxAhdM7/5zW+4++676dWrV1N35ZKirs7SeZnpLJiWw6Nvb8dvKR5/d4dTly4oYKWnejA0CNWsJw/pxojeHWq1zTTGtZCsrAyh+3EZOnfkZTCsZ/smn4dW2/tKMK3qH2GGWsNVG7cwyGjHSH0fKXjRY6S1jMTJsqVBgWskI83taMoCl4dW474PG56x24VsozSdAb178UzJNezz9eZq126+9a07yR59HYu72ufJoVPnWbalOGGbn9wnBUEQkoOIds2UyFQFQXK1vWHRdRAqymlohLcHQIPK9KG06dgdhkynx6h5LB4Vw0ur95iExbogyTC6XcygLp48giAIQnPlqaeeYvr06SxZsgS32x21/t///d+ZM2cOv/71r3n33XeboIdNh4zfgiA0W0JryLXkenLJ5vMlgVp0CvznHQNwLEIFu0hHUs2r7NSXX/ig0EQDUiK2r/C0Zu3AMazOGs8n/XK54LaFtYwOragMiawLCnVBsQ7s5+hDp87jMuxn1ODTsddvsbKglBm5GSzPL8Xn9eO2/PQ8c4zS9O7O9tcN7Ra1PxmrEucXv/hFU3fhkiTUWdrrs3hmzV4evG5wjefkjsOnHUHOayonynT2oo34TIXb0HhgQn/+9PeDWJadBrOm1IfJprZrK1lZGcK+O7/F0s3FpLjjRxLWt791af/gsn9S/PnHjNN3MUINoYDBdq0613/SUy+P2ldNgl1oTTo02GplM/vcvzDGtY/fj6mg15XX23a+9H6w6x3ofgVsfg5ML5rh4Yab7mCpNYhNBwYzrv88skMcFoIi78qCUnG0EwRBaGQ0pWIlUBQSoTrvfv2/wsiB/Dfv7+KN/BIu+CwqvdX5/3O1vcww7Oi6K/T9TtqC0Ieg4MNRZFpMU3fh+vbqOgty9T0GebARBEEQmhPJGK/rQ+fOnSkoKKBPnz5x2xQXF5Obm0tZWVncNpcKTfU7CIIg1IlQy2hT3a8auw/xPu+jx2D7G+BqBeWFgfrnsYlMgRnWbVPBfj9s98EeP5qfKCrdKXw4cByrssezvv8oqlzh6fxcOrw+/2r2fF0RFVkXJCyiRtfo0zGVfcfPOeunDO3Glb07kJ7qofzB/0N65RkenzIfb+CzXIbG69+7ynmGbbD6q83hHKuF+ozZRUVFZGZmNlSXLkuCv8O2wpP2ueiz7PpjGnhqSGEJ8Mhb21m8udh5f/fYPhyrqOKjL486y6YM7UaXtBTKKqqcFLIXe44nYg9K5NoKtgmKRRcbaVflqxbxDQ1+fn1Wwik363ovyC8qZ/af7L67DI2RvTtw8pwXt6FTeOIcQ/y7Wex5Cncg7aVPGXi0avtfZOYsLdL+F/JZwdc64MdgpvdR8q3BNR9jvFTHNRyP2PgEQRBqJtn2Dom0a0IiB/7sbml8VnoasEW6ccYuNllDAFjm+RVuqgfxMG+aAHqEWLfZzGaDdiU3TbuT7AYS7CA8Uq7BHmwEQRAEoYVx7tw5unXrVmObbt26ce7cuRrbCIIgCELSCRptW3eCb3igMPCsuf73FJ5vRbuCP5B+oSQqnWSUOBf4qxH+LKqUovKQwakvWtP1yzI8lb6oLpiazobMEbydcw1/HTiOKpeHhR/9kZE/uZ/0VA/r9hzjYNk5+nVuw/cDEUB5melRYh3Yz6HPrNnrRNT4TUWbFBcuHUwLDB0+2XuctbuOomsaCyvPUJ7aDr9uOP2/a1TvsGdXqb9aN0SwaziCGQqeWbOXDfvKnKixBe/swFIqpu0lp2d7DF1zouhyerZn6dvbw/a7ZtfRatsSsKKg9KJsOInagxK5tpKVlSG4n5UFpSzfZqeirGvEWF3vBSsLSvH6bScHn6nYUlhu2/j0XZxUbbnf9UFY2sugYBdq33PK4IQIds5fTUPrPgwyRqGNmGOvKFzPvlYj2PmuL7wUTizqmGVLUl4KgiA0PiLaNSFb1n/At611bGIIBb7B6Ie28kfXKvppR+inf42OwoeLT8wrcGM6g7Wl4CurJ4P0w079utAnJ0uBpXsoHfmvXDNykhPe3hDUVNC3ymexoqBUou8EQRCEy5K+ffvywQcfMH369Lht3n//ffr169eIvRIEQRAue7a9DO8/BFYg5G1Siq2+6aDWLiQz1EE4NCgs+F+Es6iiWry7cNLgxPZU9O1eep08TltORX38l137sTJnEu/nXMPhNh3tj7FMZn/+V+Z88VcIRIbEEudiERlJowEWsP3QaVyGzl2j7Vp2SwN1mSylWHD9D1j44R/wmH58hoHbpXN7bkbYfqX+qtCcyMtMZ+qwHmzcfwJQ6JqGaSkU0UJSflE5C1ftxLIUhq7x+M057Dx8GivC+T/yOvb6Lk6cTlTcSvTainQQr69NKbifGbkZ9dpHov3NLyrn31fvYvuh02HLg2Vu3PijIpJjpb0MddJXgZuaBbxtjucAGfQbdSN33DojfKPeY8gGpxad2N4EQRBaNiLaNRG7t65h3lc/xe3y48PFE757Weh+OSyaTtMA5aebVp3TWin7IWSH6sdBsyc3GNsCK+yCs5bu4uTgu+jyjfu5owGj637z/i7e/uwQxyuqsBQYusbC6cMY178TLl3Da9qTxzfzSxnWsz0LV+2U6DtBEAThsmLWrFnMmzeP3/3ud9x1112kpaU56yoqKli2bBm/+MUveOihh5qwl4IgCMIlT8kW2PCfULoVvOfAezZ8fUjKFo2ALhdhSLbLMWhYgKEUFrDP6sVL5o0cOt+Je3Z/QO8dhxhaepBUomsylXXowrrc63i+73j2dOkLwPVDu3Hyq+O2Idz0c/uOv9Xr8IJCQUB3pE+nVIpPVmIpME2LXh1aM65/J17fWoIVOE4LKE9tx+Jlj7Dptb/ENHCHRvqkp3rYdOCEs1wQGpugEGdaCk2DaVf04IOdX8cUkkKvCaUU5ZVeVPxdO+i6lpA4HU9Aq4sYV1sUXehnAFERfMHjrIs4Vd+IsXj9zS8qZ0VBKZ8Vl1NyspKKKjNsu9+7nuUGfRsaFh78Uekug9Qk3imgPC2LH526m63mQDtV6MhxST9GQRAEoXkhNe0ugvrkKg0Wce2/6znmVi3GpVmYCk6qNDprFWGh7wo7J/UC3zx+7X4JAyvM02Z1+5lMPrUCFyYmOgWdbmbcbT9qsNp1QX7z/i7++OmBqOUuXeP1+VexsqCUJZuLUdi5wq8e2NlJ4VDX3OGCIAiCcLE0VS21yspKJk6cSEFBAZqm0aNHD9q0acO5c+c4cuQISilGjx7Nxx9/TKtWrRq1b02B1LQTBKFF0BzqjSWjD8H0l8d223Xp6kjkx1rAI77vsFf1Zpy+i23eQaTvP8WtOz/m2v1bSDGjC9Wd87RmddZ4/nLFtfx04QNgGE6dJ7dLZ+kDIYb3e24m7/Du2B9eC5G1rxZMy2Hhqp1RtbCWbC620wlaCo+visXLHrE/s5bPS3oJiOZwjtWCjNnNg9Df4dl1+/jdX/c44psr4Dgdq6ZdrHpwALMXbcRnKgxDs2upBZytNaodsWuLcK3tekhGlqXIz7g9N8OJlDU0mDWmDysCKSh1LbF+J4ugTe+roxVsKYx2UJilr+XbxgdkcJTWevh9MW6NutC8wwr86DxufptvZhhk5l1P9ujrJHuVIAhCM0dq2rUwggNrxXkfh3Z8Qu/TBZiqLSn6YZRhD8460FmrAMIHcA1wY9ImxSB/6C8ZvfNXgHIKz17pLuFe81FGqS/ZZA1hx7FsllqDyGvgY/pg59cxl1tKsenACWbkZrCioNSZIE4d1oOthSclrYggCIJwWZGamsonn3zCI488wosvvsihQ4ecde3ateOBBx5g4cKFl4VgJwiCICSJoBjXd0K4s+a2l2HzH6C8GMwqUGZYZE2MII4wotKxAecsD4am2G/1ZIF5PwXWIPIO7aLnzlIW7V5Khwtno/bj13TW988l82fzOTVlKkePnOenASNzflE5d+TZqSpnBFJROkbooGBXD2JFwWR1T4sycM8Z26d6eahIWAtS205oDqSnesKuadOyI+hiOUTHuibyi8q5c1RvFDCsZ3t2Hj7tvI4l/MWjtp5/D6AAACAASURBVOshGZFekWVXjldUhUXwKXDWW0qx4J0dZHVPa9DrMr+onOc+2c+aXUej0ozO0tfyoLGCTtppXFr4ysiadLGi7NBAS2nPMVc3PjrdmxXmBD5nMD2zsrhhtP37SgSdIAjC5YWIdkkkv6icg/9cx1XGl/TqkcGhI6X8dksam3wDmaWv5f+5X0Z3mejYnop6YLtYjnahA/vN7m1s6Pwn+gw/Rvftf3Ta/OHoUDoM/gZ/+HKQHdVmNvwDRH5ROV3TUig8Ueks0wL99QQEuUQfmgRBEAThUic1NZX/+I//4He/+x27d+/m9OnTdOjQgezsbHRdr30HgiAIghCkZAu8cguYXtBdMGgKoODQP6HicFjTYOBGvLRrEB3kpSBgjNZ4zn8T/9ecA0Dfk4e4bec6/uPL/0vmqdgOnKUDclg/7kYOTp7GDdeOoH/gmS83214fGTmTE1lCoWd2jSJaMA1dUPCr7ZkynoHbWV4HkVBq2wnNgfJKr5O+FuzIuJrOxch6cMHrz6VrvKmV4jero9gir5Ulm4tZveMIU4f1iIpga4zrYVz/TrgM3Unx+fGeYzx+S3VUIcDrW4qd9palGswWtmRzMS9uOMi+Y+FOCrnaXr5nrOJKbR/d9PDanYmkvwzcajnVpj/pk34Go+ZRUlTOr57fhA+51wiCIFzuiGiXJPKLyvnt86/ykv5rPPhQmqIH8Gfd4F3XOG41/oEejJILhPSHhcIT7YET5I1zI1n24R7+23UNT/dpR6fi1bxvjmG5upaZaSmkuJMzYaot3D50omfo0KVtCrde2YspOd2jtot8SBKvIEEQBOFyxjAMcnJymrobgiAIQksgw4C+BlQqWP97aN0Jzp+AgtfAf95uY5qwe1XcXQTtw/GeMcF2JN1lZeLD4HVzkpP6cpM1hIPnunHfrr9w286PGXlkT+wPycyEe+6Be+4hIzub2TUcUmR0zuodR8KjdfoMjyva5ReVM3vRRrymfRDL80tZ+sC4mIJEQ9RQT6T+liA0NOP6dyLFrYelhEz0XAy7/kwF2GkxY0XKLdlczMNvbQdg/VdlAGHCXWNcD3mZ6dyRl8HSQNmVyKjC/KJydF3DDNwTXEbNAmYiqSUja+itKCjlb7uO8vWZKqdNrraXXxjLGKl/hVszwyKY4zlH2CtDXqf1hI790PwXYOR9pI+aF3bccq8RBEEQQES7pPDsun0cOnWeXGsnbt2PoSmnCLaGyQxjAxCevzosDaYWnY6kQqWwX2XwhnUNy8zJzoRqa+dbWFmci0/ZIt3tuRncnpsRd1BPNO915IPOgmk5USkSVhSUUuWzPZ0M4N6r+jqTJplMCIIgCIIgCIIgXCQlW+C+VPuBSwPW2iUSEiU0wi5I8LnTVKDQOaNS2aqyWWROo0ANdtqleC/QY/9RfvDlMq45kI/bMqP2fz41jbPTb6PLD74L48dDglHjwegcr99C0zRyerQLL6FQvD3utpsOnAgIDTaRQkNjpK8UJ1ShqbkYQSc0Ok7TNZSya+7EcvxeveNI1PvIaLvGuB5uz81gZUjZldB+bjpwAjOQo1ID7hzVu0YxrjZRP1jv0rRsR/vQ9Je/MJZwq7GBVlYVHYzKhIW6qPTE2dNg/M+g95hqO12XTlHlbeReIwiCIICIdknh9x/uQdNghBqCDxea8qEHPJdiCXWxCs8GXwd5yn8Pr1uTmTK0GylfHXcmKvFEuliFf9NTPU7KEZeucU1WV7qkpcRMJxL6oHPBZ/HLt+2HJk9I0eI380sTTsUgCIIgCIIgCIIgJEDJFvh8CaBByVb7Kd3x7FTVQlzE3yDOc2RgpfM2sAtLgR+DWb5Hw0U6XxU5J/cz8HgxVxd/wdQ9G2jnrSQSv8vF3twJpNw/lwHzZtK6HrVY8zLTWTAtxzGMv7yxMNxR9Nfx01WO698Jt6E5kXaRBnxJXylc6oQ6Y8eqYVcbQcFvZUEpy7eV4LMUhq6xYFpOlG1o6rAeToRd8H2ySNSpPLTPsdpHXvPBGpmxiBT1VxSUhu3zvhc282nI8Spl16ibamzBUnCNEXAoMOw/NUbUhaABeNpAaif4xkMQiKhr6MhgQRAE4dJARLskYNnPUhQwmLu9D/Mz1wom6NvRIyLpYkXWAdXiHlCZ0o3fVN7McnUtKW6d+RMHMH/igBpFulBCJwC6pmEphaXAayo+/PIoEJ1OBOxJj6FrWIEHoaBnUdBTEcBvWnb/qdmTSRAEQRAEIR75ReUyhxAE4fKmZAsUrrfTXu77CHavio7KCDwwquB/WohQF3gf+kxZqdycsDqwyhpLO+08dxqfYCgLE52VF8aTf2wQfcoOcV3ZPxhUVsKgsmL6nPoavaYovquugnvvxXXXXQztdPFCWHmlF0tVp+ULTXdXE3mZ6Sz93lVxa9pJSjnhUieeyBPqsF1e6XX+xroO8jLT2XTgBH7LvgaVslNOhpJfVE55pZfvf7M/O4+ciVnTrr7UR6yqqTZlotd8eqoHPWCEM3SNN/Pt6D2FXbbGVHbay3H6Lk6qttyjryHHKArbR6JCHQDdhkPvUTBiDvQeE7W6MSKDBUEQhJaPiHZJIFfbywxjPQO1Q6RTgU+5oop+h0XTadUinTe1Oynnj4ECzZVCm3te41ZrEN0TFOkiCZ0AoBS6bgt3oYQKcSsL7Oi523MzGNqjHZ+Xng5rG+qpmKgnkyAIgiAIQjzufn6TeBULgnDpExDmdrcawdqzfe1nu0++DQc/ARWedjI0ck4FPToDaFSvDH2sMwMRdQesXrxo3sgyazKtvRcYcLKUwWVFpJ44zRVl+2hbdo6Zp1YxO8EUm4XpPTh2y52MefSn5Ls62kbxszp5tWh2iUTQXExEXG0p4ySlnHApE0vkCYpgwRImoVG4Ke7YoljoNWgYOodOnXecqRo6AizZYlUi1/ySzcU8GojuNQLZp4LO7AAj2Mv3XKu4zihAQ4U5McR0to/x2m6sQ9ZUGP9gTKEuFIkMFgRBEBJBRLsk8IbnCYwYD0GRKTCdv8H1QMrQb8GI2banZd8J0HsMedS/RlzkBGDBtBxe31ocJsbpukZ6qofZf7InZABvbivh2+P7hbW7fmg35k8c4PRFvBcFQRAEQbhYajLU1CVtkiAIlwmPPx77dXOmZAu8cgvKX8VABUVmLp3/VogyyogVsBFZIyn0+TGSSuXhowsjOVPWhlPHWuMp8zKl7O/8sGwJGaeP1Rw5F4muw4ABnCo5wtIRN7BmwBh29hvG4geuIp/40T2RJGrsl4g4QagfsUSeoAgWvOJD/1b57DSQsaLtQtNkLttSzMqCUue6THYEWOi8LtliVaw5Y+gygEff2cEItYdxxi42WUPYe7Q1YDvef89YxRRjG8GqnDWVsoGI+zRAhz6QMwNatXNseYkg90FBEAQhEUS0SwIGKipcPviApaB6dNciPHKMFFuw6z0m4QE+EW7PzXCi5/Iy08nqnuYIdIau8avpwyiv9OILCHYAPlOR1trNU7cNZ/WOIzHTIIj3oiAIgiAIF0s8Q01+UTmz/7TJMeZEpvKuKyIACkKSaSrx7IknmuZz60rJFtjwDFR8Da5W4L+AhsIArje2xdzEiY6JU/tceeHg0S60LzuDXmZy7Fh72pRVcuvpj+rUNUvX0QcOhJwcGDq0+m9WFrRqRQdNY0zJTixN5+GnHiAvM51n1+1L2IBfF2N/s3mmfOyxpu6BICRMLJFnXP9OuPTqWo+hKODN/FLHJhRKXmY6KwpK8ZnVqWqDKTZ1zY7XS5aoFinm1yZWJTp3i7VvgNmLNuI1FTrQqa2HEWoPiz1P4caPDxd3n3yYn7g+YoaxwdmXFhHJHLwPO8sJFew0yL4Jxv/somx4zeY+KAiCIDRbRLRLAqGCnfOgFUyLGdoOoEsWR7pPovCsQfrQa8muYaCvacISz6sodOJye26G0+7xm3PCcpvnF5XjdulOpJ3b0Jx1ycpZLgiCIAhC7Vx77bX87W9/a+puNBrxIjBWFpQ68xKv32JlQSlAvYS3JZuLWfDODiylGiTFkyBclrQU8ayhCdajC42sKNkCL00Fyw8QFusWFrURsjzMybPSQh234IT9V5VZVJZ5aHu6kgGccbbpyMkau2bpBt6+/Wl15fAwcU4fPBhatapx27zDu8k7vBsy3wAST+GWX1TO4VPncekappWYsb9ZOFVczuew0OKIJfLkZaZz56jeLNlc7NxzMjq04tCpCyjANGML6PlF5SzfVuJsYwQyMS1ctRPTUugafHNQlzr3MfK6jiXm/2jSwHpF7Ebue0VBqZMW9ILPYuFfdtK1XStHwLSA42e93Gnswo0Pl6bQlJffGn+kv/E1EF2nLp4jPhpgtIKMXLjuiaQ63AuCIAhCPES0SxJhAzrhD2ToLugxAkbeR36X6dUTkX0+Fnctj1lEeMfh07yZX4rfDPccCq5fuGpn1GQmclK0sqCUFQEDWOSkJy8znaUPjAuraSfGLEEQBEFoGM6ePUt5eTkqIteZUopPPvmkiXrVtOQXlYfNQyL9xPcerWDmcxvrLLzlF5Wz4J0d+C17j1U+i2fW7OXB6wbLXEcQhPpTsgU2/CfsWW0//BkuGHQ9tO0KZ4+iLH/1M2BoestgBB0KVa6gzIIyE1VmceJ4W9qfqMBT6Q/7KA1oi594+DWdc336cTxzIKlXDqfn1aMcca5VSkpSDjeRFG6hRnaXoTNzTO9anysbum5Wi0Ci/IQkMSM3g+X51U5PX5+5gNulY5rxxfaVgSi7INdkdaW80uuk2jQVfPTlUT796nid5l6R13Vd02HGi9iN3PeCaTm8mV8aNm+0y7zYpV6CqS+7aeVYSmGgUAp0sAU7LaKGKOFRdQ4a+FI64hl1H0x5AkEQBEFoTES0SxJhXjkd+8OQW6DqNKBVp8AENsVJMxJZRDiUSAFO12wvxtBUBnmZ6VGTIkXsgsVBJCRfEARBEBqW9957j4cffpgdO3Y0dVcuir59+1JUVBRz3YABA9i3b1/C+9p04ARAVG3dbw3vEdZuW2G5MyeqSXiL5dltWtWzKQX8/asythaevDyNw4IgJITjQHnFDZSntuOm1pvo++xYLlRWUGZ0pefZHeiWz2mvTC/sXmWnt8T+T4Ft8T5pR8tpZfbfoEinVW+OBnShvMY++XSDwvSe7O3ch/2d+9BnwijOD8oma0IeuYO60T75X0MYtT0vhhrZTdOiV4fWtd5ja0qlmd8zm019hjOuqLzW/TSLaL36IlF+Qj2Idc7nZaYzcXAXPvryKGCLUHfkZdCrQ+u418axiqqw94rqyNoLPstZlmhdu/yicp5ZszdmVF1darcF++D1W2iaHf0H0feM17cWO/NHsEW6cfouTqq23KpvYIyxO6p2aKyIZxVYHhYZDdA5C/qOhxGz8UhUnSAIgtBEiGiXBCIL1HLbc3FD5uN5G0UWEQ6iQZQAZymFhu0pFLqPSG9ICHhRJanQryAIgiAIibNu3TqmT5/OiBEjuOeee/jzn//M3LlzATh//jxbtmyhqKiI2bNnN3FPE6N///643e6o5ZmZmXXaT3qqx5n3BPGZinc/PxzWTkW8DhXeAFYUlFJWUcXHe47ht5Tjff15ySl0DazA/MxSdTM+xaOuacubMy2tv4LQIATTXLbuxPGvNnNi117aW+1581s3cJ22lUz3adTx06Qo6MUhe5vQ2kdVCu2ELchx3LJfH7dQ5RZa9e0tyngci/OuFPZ3ymBfpwz2depNYYceHOjYi/2dMvCntGZydlfmTxzQ7K7XukbS1LRNfs9s7p71JF7Dhef5TTU6WUi0nnC5Ee+czy8q55O9x512WiCKrKa5yulKb9jyrmkp5GWms2BaDo++s8NxfDJ0LaFUt6HO57oWbaNK9Np0+vD2dvyW4vF3bYe3z0tOOfYvTQtG1dnkantZ6vk1bvzhpWlCRbrQ2nQhjbTA/5puBG7qCowUmP4/kgJTEARBaHJEtEsSTnHa8Q/WOMDHSzMyrn8ndE3DCkmbpQPDM9ozc3Qfik+cIzSjVnBCtGBaTo3Rc3XxbBIEQRAEIXk8/fTT/PCHP+S//uu/AHjttdd46aWXnPV+v5/777+f7OzspupinVi7di19+/a96P2UV3od7+lQrEjPpQDBKJag8LaioJQ3t5U4dUuCVPksHnl7uzNf0oHvTejPyxsLEzYoxxOzajIQx6ufV9O+mnJuJsbuS5umOL+a+pwOI1a9uXjtXrkFzCpQFp2BKRpgwF3Gx7gwAdCUgnN2SstgrTnKTLQyC85U34Oi6pjH4WTrdo4wt79Tbw527s25foM42bk7/bqmcU1WV1pXern/npsB7KizZc81/fcah0RSaCa6zaY+w/EaLizdqNXJoqZoPUG4FIl3zq8IOGkHUWgs3VLMioLSqJpwsTI7uQ2NGbkZgD0/C6Zx14A7R/VOOHJWYc+7xg/sXGs68prGjB2HTxOc3nlNxcNvbXfWacAdrGWmex1HVUcOqO5MNzbgwe+kI46sS0eUSBd4lX0TDJwC50/Y4wUkNnY0M5rV+CsIgiAkFRHtksCWYQsYe+HvMGQ6jJpXa/t4RYQXTh/GgoBnkwYQ8CL6onR7VAQe2Mat8ggvqUQ+SxAEQRCEhmfbtm288MILcde7XC6efPJJbrzxRh555JFG7FnTMq5/JzYdOFGdUi4OGraX93e/0S9MeNMgrBZLsG0wPV0QCzhT5U/YoFyTmBVqLPP6q1N1Ajz69vZqA1PAkAZE7QvsDAjLt5U4kYGRBrXGMLyIsfvSpSkE2WYlAjtCnBcMD4ydbxth03qEG2d7j4HC9SizCk1Z1c6XGqAU7q8uwG6/LcwdN+GCvftEIuaClLbrwv5OvdkX+Lc/INSdTK1OaOnS4fX5V8f+vg7vBiDv8G7IfKOeX8jFkeg9KVnPm+OKt+Mx/fiUwt3KU6OTRX0i/AShJRPrnM8vKg+r7aZrOFFykeN7rMxOkcJc5GcExby69CsRwS7emPGb93exIr/USXe5yRpCgRrsbDtTX8vT7uC8+kDUvsMi6kKOMbyRDjf9R2y7XQsS66CZjb+CIAhC0hHRLgls6zydsZMeuqh95BeVU17p5bvf6MfGAyf4ovS04ykez6Cla8gDiiAIgiA0U6qqqujWrZvzPjU1lVOnTtGhQwdnWYcOHTh48GBTdK/JCBoUDF3DHzAuxZrrGLrGwunDmDO2D1Nyuoel/14eEmln6BrDeraz504R+/jbrqO0S3GR1jo6rWeQoGH60KnzUWIW2Iau9FSPU2fFUtWpOicM6kKofqhpmiNKhop8C/+yk52HTxPiDB+ztnGkyNcQIp4Yuy9dmkKQrbE+WWNHABSutwU7ZYK/CjY8U71u9ypAB1cKzH2XD88NYoLlwo0PA4WyFHzphw1VaEetuB8RiqVrHErvyo5OAwLiXAb7O/XmQMdeVHpaO+2GdE/j3qv6suPwaTQgp2d7yiu9zSIywvmNembbAmHI8oa6J8UzNOcd3s3iZY8kFF1Ynwg/QYjk888/Z968eXz22WccPHiw1mwCH3zwAU8//TQFBQW4XC7Gjx/PE088QV5eXsz2lmXxP//zPyxatIj9+/eTnp7OTTfdxJNPPknXrl3r1NdY5/zDb20PSzUeOgkyjPDx3akX57OwsG1JHpfO7SHCXDIjZyNZsrmY1TuOcMFnOtF+wewJmw6cYPOBE3z6VRm52l4We57Cgw8LnUd98wCYamzhSuz6yZGpL4PZGMKEOlcqDJxkL9j9XvWavLkJOdq3BMQJSxAE4dJGRLskUBdjR6yH1yWbi8O8tBNBB35163AZlAVBEAShmdKnTx927NhBbm4uYNd+++CDD5g1a5bT5s0336Rjx45N1cU68dxzz7F69Wr27duHpmnk5OQwd+5c5s+fj67rCe8nv6jcyTDw6Ds7sCyFrmuOd3gQpRTlld6Yc6fHbxnmzJ0MDa7q34kdh89E7ePrM1X88VPbG9tjaCz93lVx0166DB1XoB9ul056qifMsLxgWg6rdxzh71+VOcamY2cuhH3e5Oyuzv5DRb7Q+itBYtU2DhpeVhaUsqKgtEG8p1uSsVvSPtWNphBk49Yna8gIgHgpMPtOsCPs/FXYsbaRWGB6OfTZh/zgHyMZwcOMt7bT//MivrX576Scip3BRHngZKcOFHXqQUXntmzsOIyPOo6hqEMP/Eb447QrEB28v+wcx85cYOboPmR1Twv7LmbkZjSL8znsN5r1JIuXPeIId5H3pBUFpaxM0j2pJkNz3uHdCUcXSkYZob74/X6eeuopfv/73+P11py5KMiLL77Id77zHX7yk5/w1ltvUVlZyU9/+lOuvvpq/vrXv3LNNddEbXP//fezdOlSnnvuOWbOnMmePXuYM2cOo0ePZvPmzXTv3j3hPgfnTqFOEcu3lYS1Cd71NOCOvPD7TOjYn57qies4UJ/rqrZtlmwuDktzGcRU9rpQZhjrScGLroGuTH7tfhEjjht7WH26Vh3gwqnqBRP/D0x4yB4v9v2tOgJ7xJw6HVtzRpywBEEQLm1EtEsCiU5q4nks1lWw04DZY/swZ2yfevRWEARBEITG4Oqrr+aBBx7g+eefZ+TIkUydOpXvfve75OfnM3DgQL744gteeOEFbrnllqbuakJs3LiRRYsWMWLECMrKynjmmWf44Q9/yOrVq3nrrbcwDCPmdosWLWLRokXO+6CBNqt7GoZmG5kMDR74Zn82HjjBzsOnsZQdtVZx3hfT8F9e6XVMOH5L8fzfD0YJdpF4TcWKgtKweVuo8dg0LWaN6UPPDq2jouV8fovySi8PXjeYrYUnHQNJqFjocenMnzgAqDaOPbNmryPyhdK9XQo/nVydQirS8KKgRu/pixWzWoKxu7mmfWrOQmJTCLJx65M1VARAyRZ4+SYwfWC4Yepv4evP4exRaNvNTon5j/+OCt9V2PcaExevHulN6oVzjPnnF9y37W26nDsV3tYN/5+9M4+Pokrb9lVVnYaENSyyhbBDMOKSIASEQZRxRHEDFRRHcEYZfRlGx/d1xtlQGZf5nBlH+fRzdHzdBVxgREHUUUFRCEsiSiKrSELYlBDWBHqp+v6oru7qvTvpbPBcvx/0UqfOOVXV3Tl17nM/z6pzzuXEgAwOd2rDqxmXUMygqF06s1sbbiroHXUS/Knl25ukGyLoGqkahdlD/KJd6G+SQuzfpGhE+r7IRLPQ2EydOpWysjLWrFnDpZdeSllZWczyFRUVzJw5k2HDhvHEE0+gKAodOnTglVdeoV+/ftx8881s27aNFi1a+PdZuHAhL7/8Mvfccw+33HILAOeddx6vvvoqQ4cO5Ve/+hVvvJF46Nsb/lXI/NuCw3Z7QiaRHKqCYZgLjyblZYV9/xryb7+97ec/Dw9lGYk8ZSvXayusSMUoCqiGAUogDLo93KV19IqiwbgH4P17A+Kclaeu5zCY9k6zzFcXj+a0CEsQBEFIHhHtGhD7jdFJt7lisUf7dOLMMQXlfLHCGCQSX1wQBEEQhMbjpz/9KWvXruWRRx7hjTfe4De/+Q3z58/n73//O4piTqy0b9+eRx55pLG7Gpfnn3+eUaNG4XQ6AejRowd//etf2bZtG4sXL+bJJ5/kzjvvjLjvjBkzmDFjBopvSbTdXebRDQzMHCxt0tNY/MtRzFtT7s/x+9zn36EbRthEsX3SF/CH2QRfLjxNCZvMsrbZiZS/xT7pETqxHLpSfc6SUgzDwKEq3H9Fbtiqdkvks8JRWew/cpI5S0oZ1LWNfxLNPvECZv67SJPa0cSs2ohJTVmAqi/Rpy7H3KhC4v33R34eQmMIspHarLMwY3fTAWRpcLYD3vmlOSkL5uOSu7DulMwQaSoKetgEr2HA5/oQXjx8CUPfX8oXxUtp66oOavJoy3S+HjqYZ/Ou5tP0vIjdap/uQFUUsjtkcKjGzaW5Xbn3ssExD6WpilRB/dK9FJQHnDCRfpMWRvlNikbUMJjRJprvu69ejlMQQpk2bRo/+clPoi42CuWf//wnJ06c4JZbbvGPZQBatWrF5MmTmTt3Lm+99RZTp071b/vHP/4BwM9+9rOguvLz8zn77LN56623qKioICsrsXkdl8+Fbxe/03yOfjCjCdx/5Vn+xQMQnlu3Pv82FJVVsbC4wh8CeM6SUk66dVDwp32JxRT1Y/7b8QYOvEG56SzBzvc0CAWgyxCY8JgpxnU5M7I413PYKSXW2WkOi7AEQRCE2iGiXT3xl/c28X7pPv+NXFFZFXsO1aAqoBvmAOStogruvyKXNE3x52WxowBptsFXrDAGgiAIgiA0LS688EI2bgxMgnbu3JkNGzbw7LPPUlZWRnZ2NtOnT6dHjx713pfevXvHXUluZ+rUqbz66qv+1xdddFHEcjNmzGDx4sW8/PLLUUW7UOK5LaqqXeiGKeZZoTMVjKAy1qTvwuIK3ly/C69vHOVQYfL52UzMy2LLvqO8vq6ckj2H0XX8olxoX2KtUp6Yl4Xie/SHb/NNkNjdMwpmKM9Ix/rarQUsKq7g9XXl/px2VnjNoLBwIRMv0foVScyC5CfnmpqTLVRMqw+hozbHbO9Xo+aPeeCBwPMYol1TodYOgF1r4YsnYMt7YOigpsGMDOiimTdHP2wJ2SFYsDcM3fYiMOnrrlKo+dzgn18/SAuvO6iGfa078K/zr2H+uZeauegMIzDL7Js97n9Ga352QZ9aRTppLDdEPIE6qF83XRGU087anshvUjRihsGMNNHcDD7XwqnBZZddllT5pUvNnGgjRowI2zZixAjmzp3L0qVL/aJdVVUVq1aton379uTk5ETc5+uvv+a9995jxowZCffj+6Mn+cO/N2IAk/KymH+bOb744ehJOrVp4V8IBMk7fOu6oOWGZ1dHnNMKdT3nKVspUDdRqA+m2BjIFPVj7tAWk60eMAsogQUXCqB0zgFXNRy2hdFUcUZKsAAAIABJREFUNOjYHwr+Kzg/3SkszgmCIAinHyLa1QN/eW+TP3/KPz/bwdtf7uaH4y50c1bHj9drhlqaP2NE0Kqk19eV81XFYf/K86pqFzPH9m+UYxEEQRAEoXa8/PLLAPTp04fRo023SKdOnfj973/f4H2ZNm0alZWVCZcfNiyxSY9+/cxwkJs3b45TMpxoE9mhYs30Eb0p3XuE8Wd1C3OyFe6o9IfFVDAFu4euGeLffuPw7IQmrkPfDxV3IkU4SFRUsvppj6ygQFj+r9A+Rls9Hand0GgOi0LCgEaiUQWoEKKJaakWOpI95tB+zZ6Q2yQdU02VhBwAlkh3YBtoTvT9pSg+X6oCoLsxupq3rHb3RajjAnxaW8i2sn0dSVvjpevXFVxqrAoq/22HHjwzbBJv547F5UgzI5poKmNKP/fX0enmKUxKQQ66hnZDJCpQ+/u1J/5veLLHkOhvZFN2/AqC1+vlm2++AcwFUKFY79kXaZWWmi78SOWj7RMPFVix5XvcPmHsrfW7mD9jBBPzsvyC2etry/nz1UO4cXg2mRlOVMVcvRDv71WyC1rsrrqJeVnm39YE8r3kKVuZ73wQBx4A9uod6KEe9G9XIv2wD7/DfFxiWxh2+WPBYp0gCIIgnIKccqLd3XffzT/+8Q/GjBnDihUropZ7//33eeSRRyguLsbhcHDBBRfwwAMPkJ+fX+c+vF+6L+j1vqMnAy98YxkVgkIt2RMKb9p7xF9c02RCQBAEQRCaI9OnTyc9PZ27777bL9o1Fg/YXTopxEgk5lEMIk0CRwpB6fLorNt5MGgVOUQOb5lIG/FYVFzBSbce0REXqZ/xJpvt/dRUheuG9vS795KdLIvWrkMzw2QZwJvrd4WF+ozVp/oSoBKdjI8mpqVa6Ej2mCPlNZT8MXXEEumO7oUO/WDjm9jDWypG8MStgU2ssxQ5w2beUAIFdRSe8VzOzx3v4yg7CV+46L3tu7AufN21P/+v4Dr+M7AAXdEwMO/NLujfibvGDSS/t82F8++H/E9jfZ6bmvDUFET5RH4jm5rjVxBCqaqqwuVyoSgK7dq1C9vevn17APbv3+9/b98+cz4oMzPyZznSPqGE5gMe2juTtTur/K/dXoPCHZXsPlTjF8y8Bvzh7Y2UVx7n+VU78egGmqowe0IuYLrv7N9F63dr96Ea/5jH5Y79e2FfoA6wYF05mu9HOtRFZ+c32jymaR/ixIPic9P10EzBLpJWB0CvkcHi3KbFMPgqEewEQRCE04JTSrRbt24dc+fOjVvu+eef5+c//zmzZs3i3//+N9XV1fzqV79i5MiRfPDBB1x44YW1an/emnKWleylfXpazHIKcMEA301hyGDIyu9ilbs2v+4rOwVBEARBaHhUVWX58uUJu9aaKn/729/YuHEjL730Uti2b7/9FoBBgwalrL1kwhHm98pk9oRclpXsDXPi1aX9N9fv8osCsRZQJSoqxZq8rs3kemi7+b0yuTY/i/lryv2RGuLVU98h+5KZjI8npqVKEEn2mCP1S/LH1JJda+GreVD0Mhhe873dRUHOOMX3nxEq3NnWBqzx5rBYv4BcZScAJXpvzlLN54s8o2j37REuLFzNmRXhYt32s4fz4FlX8mnW2aiaym2j+vDi6p3+6xvp3swi1ue5KQpPTSWPXrzvS1MQFwUhFjU1NQCkpUWe47Fy/VZXV9dpn1BC8wFv2HUoaHuaplDQtyP/Z9mmoPcNA575bId/DOPVDVZs+d6/AMpyjZfuOcyb63fh8YUht8rrQGaGM6jOorIqnvn0W74sr+KHY8GhwL06eDHIU7bymvNh0nBjoPIvz3jaKuZ56MH3XKgFuwqjCnX+AhqMsy04GzpdxDpBEAThtOKUEe08Hg+33nor559/PoWFhVHLVVRUMHPmTIYNG8YTTzyBoih06NCBV155hX79+nHzzTezbds2WrRokVT7oSuOoqEALdKi3xSG3mBNirBiXBAEQRCEpk/Xrl0j5jIJpby8nOzs5PMkNRTHjh3jgw8+4OjRo7Rp0yZo29NPPw3ATTfdlJK2kg1HWFRWFdOJVxvqawFVMuEuEyFUyJqUl8Wi4oqk6qlPASqZyfhYYlqqBZFkjjmmyGfPvyW5uEzWv2g6IbqeDScPw7EfoPUZ0PUceP9e8JzAwLCb4wLPbS46+2sdjXXeAbRQXLzuHcsC/WJ7MQA0j5fLN6/kocL/y+AfdgZ1SUfhw4Ej+N8LruPe+6YxCzjfdj1/nNu1Tm7QeNsai8bKo5csTUVcFJoXdc3Tmwzp6ekAuN3uiNtdLlPEysjIqNM+8bCPS/p1bsXwvh3Zsu8oReWHwsqGxkDYf+SE/zfK5daZvbgEr274yxm20JaqAiV7DvPU8u1kZjgp3XOYBevK8eqx+zdRW4kTF5oChuHlDseSsDIRw19GQtHMEJiSn04QBEE4jTllRLtHH32U48eP85e//CVmYuF//vOfnDhxgltuucW/agmgVatWTJ48mblz5/LWW2/5kwgnwrw15Ty7MrZgZyUvr6p2RZyMsN9Qhd5gNbVwK4IgCIIgxGfSpEksXryYn/70pzHL9enTB6/X20C9Sh5FUdi/fz/XXHMNf/nLX8jNzeXgwYM89thjLF26lJ/85CfMmjUrJW0lG46wPibL7XlgnPW0gCre2C+R/RsiB1xdSHYyPpqYFvUaN5BoFlXks4ecTaL9Zjuu37UWRjmh2oCuKizw3SsdKoPqSuiUAzs+Md/79pPgfRUNcxo5kHTO756zPS/19mKD0T/YPecdTbE+IGi2N7NVGgePu2nhPsl1JR8zY81Csg8Hh5lzqxpfXXgF+2bMouyMbO4NyRdpkaiIG+vz3FRztzUHV2hT+90Smgf1lac3EpmZmTidTlwuF4cPHw4LkXnokCmadenSxf9e165dATO0ZiQi7RMP6zdGURW+q6xmx4HjqIqCrodKdKApoKgKXq9BmqYw+fxstuwvNfdXFHTDCF74oJrRIbxeHUWBBWvLiVAtEAiBedBozVnqTjpxmPYcY6i2BZWAU9rumLavyQjW7RTznwKoDhhwCbTuDOfcKIKdIAiCcNpzSoh2W7du5cEHH+Tdd99F07SYZZcuXQrAiBEjwraNGDGCuXPnsnTp0qREu9mLS8IGNT8a0Ikvvq1E1w0cmsKwPh0irv6ONunSlMOtCIIgCIIQn4cffpibbrqJiooKrrvuOnr27BnRyV/XvHD1zW9+8xtycnJYsGABV111Fd9//z3p6enk5uby5JNPcvvtt8cdfyVKsuEIU+3SsJx7XlsemIYKG5lMOw2VA64upGoyPuo1rqVo1pg0m3G93THXsi2kdzSdcmNbBGZcN4e4KI7siToxqxteDMWBYRhoGEGTuroBOip/dN/CAv1i2072ygP2O1VR+GlOe9xPPsUt69+hc3Wwy8SbnsHGyyej3v1rho4YkoKTYRLr89ycc7f5hcTuOeTv2dwofWhKv1tC86C+8vRGQtM0zjzzTDZs2MB3333HueeeG7R9586dAAwZEvi9yc3NRVEU/7ZQIu0TDyuk5YK15VjGON0wcKiK34VncdvovmEu4kFd2wTnCnbr/p9Z3YDMlg6OnPRw0h3dUhcIgeki0qjPylVn2J5DSAjkDn3hjDNNF/Y5N/hOyEroPVqEOkEQBEGw0exFO8MwmDFjBpMnT+biiy9mxYoVUct6vV6++eYbwAypEIr13saNG8O2xULXDVSFIOFueN+O3DluIIuKK3hz/S4WrC1nUXFF2A1a6KTLwuKKoMFVpEkZaz9ZjSgIgiAITZe2bdsC8M477/DHP/4xajkl4XhBjUN6ejqTJ09m8uTJ9d5WskJPql0a1rjLwBxjVlW74u5T2zbq4g5sLiHlQhei1eY6nUpOnEYNo7hrbfSJUSvf3LEf4Ptv4KAvgojPMWdNwqpqhIRzPgzff4b9tQ83Du5zTaODcox+SgUTtS/87roPvUN51juBYmNg7P7rOl2OVfL8sbXkPv0aHDkSvL1DB/jVr9B++UvO7Vg/34dY4lJ95G4r6p5DYfYQCsqq/HWk8jsQJCROeYjXFvyh0YQ7QWjKXHbZZWzYsIHCwsIw0W716tX+MhaZmZmMGDGCVatWsXnz5rBQ6atXr0ZRFMaPH59wH+YsKWViXhbekHVet47qQ+neI3y+7YD5O61Am/S0iLlvrdeDurZhzrulfFVxGDDnsUJz1UUiOARm+J+C0PcUgJwJ0P/HUFMZXZgTsU4QBEEQwmj2ot1zzz3Hpk2bWLRoUdyyVVVVuFwuFEUJC2sA0L59ewD2798fti0WzjSV6SN689zn36HrBs40NUh08+hG1Bs0+6SLpiq8VVSBxxtYgRk6KZOZ4WySqzQFQRAEQQjGMAzGjBkTt8zKlSsbqEfNg2RdF6l0aTSEGJaKNpqbkFVXl9Gp4sRpNLF111p46UrwukBzwuArYPd66DEUWrSGopfAiBGi17A56BTFn2/OnpsOA1Z4h6AqUKr3oq1SQycOc4B2ZohLmyi3Ts9hvLaWZd5h7Mi+lpwubRgM7DpYzWfbDoQ1369yFw9/8BTnV3yDGpqtKSsL/vu/4dZboXXrpE9NQ4WsjHTtY7Vd1D2HqVMewqU5cDy7GhQl6B6xNmJ4aNkgIVHVKMweIqKdIETg9ttv57HHHuOFF17gF7/4hX+x1fHjx3njjTfIysri2muvDdrnrrvuYtWqVTz//PM8+uij/veLior4+uuvmTRpEj179ky4D26PjgJoqoLXlt+uTXoad40byLqdBxP621JUVsX/WbaJjbsPJ9RunrKVidpKOnGYi7XioBCYFpHykyoAF9wFP244V6QgCIIgnEo0a9Fu7969/OY3v+Hpp5+mQ4cOccvX1NQAkJaWFnG70+kEoLq6OmY9zz77LM8++6z/tXXjFCmRuXWD5vLFD8/McAbVZZ902XOohvm++OGWwDdzbP+gSZmmmOhcEARBEITILF++PG4ZVVUboCdCIjSEGJaqNpqTkCXjV5MGF1vXvwhfvmw66DzmfRCeGtj4hvnc56gLzzMUTpB7ImSy1qW05H/d43jUe2PMOjQVvDos0C/mdf1i0hwq88cPNs+DxwPl5Sw/tpWtnxfT//BeBh/bT0b5d7TbXRbev0GD4Le/halTwemM1FxcGjJkZei1B2K2XZg9BJfmQFc13F4DKwOV/fuTTP8jlQ0SEnUvBeUbTXff8u3NYjGAIDQUPXv2ZO7cucyYMYM777yT+++/n5qaGmbNmkVlZSXLli2jZcuWQftcd911TJ06lccff5zBgwczefJktmzZwk033URWVhZz585Nqg9pDpXc7u1QKA96L1pu3FCRft6acl5fV+531yXCFPVjHkx7Ac0KpKkEFnDY/24oBHKTbjJ6kd25Pa0LfgZDpyd1jIIgCIIgBGh00a53796UlZUlXH7q1Km8+uqrAPzyl7/kggsuYMqUKQntm56eDoDb7Y643eUyQwJkZGTErGfGjBnMmDHDv8LKntQ89OYmv1cmsyfkMntxCV7dYM6S0rDcdtZ+RWVVLCyuCFshFVpvcwiHJAiCIAinO4888khC5V544YV67omQDA0hhjUnwS0m9lxyMfLKNZdwng1BMtc+aNLVejMvDV65BgZfFZgQteegq9zOsQO78Bz5nnauvVHrDso9F0W1s7spoqXe9CgaL/R7nEdL2ga9rykwsEsbjpxwk+508LML+jCocwala0rI+mE32o7t5BzdR5eZT8G2bfDdd+B2MxYYG+ukDB0Kv/sdXH011HHBQ0OLyfZr/9Ty7THbLijfiNPrwQXoaiB7lKYFvj/J9D9S2aDFocv/DT//GVNdg3B9uEUiuginNC+++CK33HJL0Ht9+vQBYNq0abz44oth+9x2221kZWXx8MMPk52djcPhYOTIkaxatYqhQ4dGbOfll1/m/PPP529/+xt33HEHmZmZXH755Tz00EN06dIlqT5b31UrJYsCXJufFTYXNW9NOXPeLeWbvUfweI2gXKN2LAcd4HdDT1E/Zry21u+WnqItR0MP/B0g0HYohqJSnPVTlB8/QGv53RAEQRCEOtPoot20adOorKxMuPywYWa867fffpsPP/yQ0tLShPfNzMzE6XTicrk4fPhwWIjMQ4fMRObJDqDiUVXtQjfMAVOsG6pEVt82t3BIgiAIgnC68tvf/jahctZEkRCZhgpfJ9SCB2xhr2KIdjJ+TZ4wZ1T3HPK7fgsTWpq55r79hL1lm9B2fELn41vNSdRvP8EAWtlmZ2PlHAqdeI0kzBkGeFE5ZrSknVKN4svjvV3vwVojh0X6aK4dcAHOzaWmKKsa/Ly3k2taVzPwyDewa5spyv1rG+zYQb6rjnki166NmFOvNjSmmByv7fw9m3ltwR94/IIb+Lxvvn/i3T5Jn0z/o5X1C4lj7zGFxA+3nPaOWOHUZ/r06UyfPj3p/caPH59UHjpVVbnzzju58847k24rFOu7aP8eT8rL8m+3wl6u3VkVtu95ylYK1E0U6oMpNgaSp2xlgfPPpGGGRb5O+5T/9VzKHY4lAPxI3Yjhc9XZF3hE/OXtNRL6j0PtPZqhkptOEARBEFKGYhjR1k02baZPn85LL72UUNn77ruP+30TCeeddx4bNmzgyy+/DEsivGDBAm644QZuuOEG5s2bF7dey2kX7RRak0yZGU7mLCn1D66irVqUSSlBEARBSD3x/l43Npqm4fXGyCd1ihB6HRIZ9zRk+DqhFgTFSWzg71djth2n/WTH9EHl1W1sWLmEZ8u70fbINiZrKzhppNHzxD66ph9CVc2mrTxy9u6E5hWK1sVo7jlFMd/b5hPkSvTedFCOUagPBuA158Ok4cFtaPyqcibHDrakT9UermtXQ5+qvehbt9J+7y5U18m4xxyRbt1gwADo3998tP6dc07kA0kBEa9VA322Yn5OfH0o6p7D1J89FvU+si457SJtn/pcYdx7VuH0oKmPnU4X7NehqKyKRcUVGMCkvICAX1RWxfXPrMKrh++fp2z1/Xa7AYX13oF0UI4yQN3t/6nTDdhnZNJNrQoS6QybtS5csFNAS4PpS0HEOkEQBEFI+dip0Z12teXFF1+MGLZgxYoVjB07ljFjxrBixYqw7ZdddhkbNmygsLAwTLRbvXq1v0xdCZ1kmj0hl6pqV9ybJJmUEgRBEIRThz179rBw4UK2bt1KdXW1TH75SHTcI7nQhPqivhbLxfxs71oLO1dC79HmJOf6Fzm5/FH6Ha3CbWRz7JM0dK2Esw2D/wuo9jTcrUIaskKk2QS4aM9Dy1nveYGPvEPZYXTlNscyFEPHTRr3em7jS2Mg/Tq3Ysf3RxlwoJxhu0ooqshi0IEy2lYd4V+eObU7QV26BMQ4uzjXvz+0bl27OutAY4aqjdn2ffeZZYDXbonuUk2m//HKiiNWEJou89aUM2dJKSfdOqoCX2w7wA/HTuLyePFEEOssCtRNpOHGoRgYhsFwbXPQdsMwBbkzlEPh7/sWcuxum0dWuhuqdsKg8TDstuC/ZYIgCIIgpJxmK9rVlttvv53HHnuMF154gV/84hd+FfT48eO88cYbZGVlce2119a5ndBJpqpqFzPH9k+4vExKCYIgCELz5sMPP+Saa66hpqYmZjklRaHemguWWJLIuCcV4eskksHpR6KOomiiccKfmSwNemumGOebuCzcUUmudzPD1U2s9Q7muy9ryN+4En7YDOWF6IY5u3osI5u21eU4AacCw5XARKo1UWo9j4S9jB37e3ZxTvM/VzhhpLFT78YzbWdysquZLe8PlRfS6cA61noGcXK/yq0Vb/Nf2l6cq7+g1dHgydy4dO4cXZhr2zb+/s2Eev1tsYWbzYcG++06ZfJtCsIpxtyPt3LCbf798BpQdrAaMJ10BVog9KX13kRtJZ04TJbyAypGVPe19Z4GKJ0GwYEtYTnwWnTLgRueDu6QiHWCIAiCUK+cdqJdz549mTt3LjNmzODOO+/k/vvvp6amhlmzZlFZWcmyZcto2bJl0vWG3rQlO8nUmDkVBEEQBEFIPf/zP/9DTk4Ov//97xk4cCBtI0xWG4ZBv379GqF3jcfU5wqZPSEXp0PF5dZRFIXMDGfEsnV1fpyqkQyCxp0vPBHYECOvXGPQYIKpz8G2ueU5rNjyA8e3LOcHb2tq1GNUjprAJZdeGVT8uy+X83PjfVYzmK88A4NE46KyKm74VyBE4PzbCsj/YTFsWgyDr4Kh081KsjT0aa1ABV64HHXgJdC6M5MPVnF72mJzkhTQNwRPfqqYk6Vtjpf7cwZhd8gR3TVnJ1Scs0Q8HdBR0QwdHZU/um9hq9GTidpKAN7hRxR5B5jhDycXkN+9NRQVUbF4D9vf2sAd5a/RxlUd95RXpbclLWcgrc8aHC7OheQNP5UITX9wqv22CILQNNl3JDjssCXMXad9ioaOGwcPuH/KhepX/FgrQg2Knxy5zqDwl5oTCv4L3r8XvCcBHd0XArPzqFvq5ZgEQRAEQYhOs81pF0qsHHeRDnHZsmU8/PDDfPnllzgcDkaOHMmcOXMYOnRowm1aK+PX7zwYcUKoTvks5KZPEARBEFJCY+VlSU9Pp6SkJK4oN3bsWJYvX95AvWo8rOvQ994l3H3JIDIznMxeXIJuGPU26f3U8u38/cMt6AZoCtx9yaCYkQ+aA2FC5PN3k7/H59JqQnnlIgmmQMSxbqwxsLVtwMlvaLO/kG7detA7/QTc+Fuo8LL53L70vfoomuHGY6gAOPCY4hjgQeO7lmfSs2UNnpYdOHD0JNnVG8HQAZWP9Tx6Xfk7crq2ha/mU7ijkkf3nud3LPyj3wau2f1ooEMTnoCh09lw3RDOOrMch+V4s0+KGom55exiW2iZaCEu7afZi+mO8DWJF40/uaez1ehJgRrsvFAVePDqIeRkOtm5bDnDd5XQ4+t1sGoVHD8euYM+3B07UZabj3PDlxx3pvNF73M5760XGu5+pYHzFxb1GExh9hAKyjeSv3tT4H3bZ1pVFLy6KczW9bdF7gGFpojktGsaWNeh12+X+N+z8tS1wIWC+RPpMcxFIYp/v/h16wZUGa3wDr6aM0ZNN91zVhjn9I5QUykhMAVBEAQhQSSnXRSi5biLxvjx4xk/fnxK2o4W4inZ8CISjkQQBEEQTh369etHuwQcJ6eDYGfHiihQuKMS3TCCxk8QWdSpLc0hkkGyE/Zh487sIQHRrgkR2s+FxRUsKq7gpFtHUWDG6L78OLcri4oreHP9Ljy6Kd5OH9Gb1Tsq6dK2JX07tWL9Fx9wq/IuF2nFgI62A3QF9Ftas8fVATXNiaa70BQDxfQF+MUtVYE0w8vAExvhhNmvNr7+mWV0LlHXw3vX+UQ8GA684XyXxd4RdFKOMGjv9wRpcmuepnjNCpyDTMHML6j5NtvFtlCRLVSkiyXY2R/t7xtAhdGZ/+e50i/OHTRa00E5FiTSFXvNx5buE9zg3c1tRgXdf/tXKCwk72SwYyOM7t1hzBj40Y9gzBjScnLob3UYGHygDE7Re5aisiqmTnkIl+bA6fXwWlmV/3tp/0yDgaYqGIaR1G9L6Pf9VHUDC4KQWvKUrf7FGGaeOg+qEshTai3gCF3jEHXRCKArGj9MeJmc88cFNvQcJiKdIAiCIDQBThnRrjFpDhNCgiAIgiA0LHPmzOGJJ57gz3/+c8xymqbh9XobqFeNj31S2j5+ysxwpnzyOpHwmo3pcqnNhH3YuLN8Y4P0M+Y57J5D4fLt/u0fvv8Obb7+iHy1D8X6QDRVoXT3YX8+HsOAtSvfR1u1iU3ewbiMgeaEpL6JwpWD0YAf7VtJp62HudvxJWmY3w+/GAcoikHPFpX+PlihJf3PbROV0cJLBpxseqAsoKEzUfvCfMP31TSsjT9s5jxjs3+GNLTuWK/tIl4kJ52dYm9fVEWhFSfop+5BUwy8hsJ8z1ju0281J1wN2KAPZMbovhw+6SEHmNJO48sFS+i5cR3DdpVy9t5tOHVPeAN2evUyRTpLqOvXLzGbxilI4Y5KXJoDXdVwG0ZQ6NTQ797sCblUVbuSiqoS+n2XvOaCICTCfOeDOPCio1Cpt0VDD3ZhEx4FM9r7oKD0GoFj3APkiEAnCIIgCE0SEe1SQKwJIQl3IgiCIAinJxMnTqR169b85Cc/YeTIkXTr1q1WeXNPNazxUOj4qb4mr2NFMmhsl0ttjjls3Plg/brs7OfIoalcm5/FpLwsAL77yY/p32Yv/6fPzaz7YAvnO7ZxT+sPuKimEAWDKQ6Vbx39ePXkj3it4iJ/nVPUj/lz2oso6NypqezVM8lSK1F8eeBACcrHEy2/W6TwkaHE0p6CxLKQNqKFrowntsVsw3rP9sSLyh69A048uHDwjdGbf+kTKNJNp5wVBi3N8GDoCi2LjvPGMyMB8/NzQUeNc8tK4ItP4dNPobiY63U9vFE7AwYEBLof/cgU7QTAJ8yp4MYgTVOCFmPWNcdmpO+7LP4UBCERnHhQFFANgy7aIf/7SshjKP73cyZA687mO+fcIG46QRAEQWjinDI57RqDeLFKG3siSBAEQRCExsvLUl5ezoQJEygpKQnri4VhGCiKclo47ey5gKMtdJr6XKF/8jqZcdO8NeUsK9nL+LO6cePw7IT7VN857+I61JI85oj1hShKRWVVLCyuQAEm5mVFXEyWmeGM6BAK3Z6Z4WRZyV6+2H7AFxLQRFXgXEwxyYkbgM+8ZzFaK0VD93fL/pX7wDuUFfo5XK1+wTBtc1AYS4tIeeBC87nFE9ISwV5PpLpDT2u8NiL9tITVb70PeAyVBd6x7DE6+UNaWuWdDpX7r8jl9XXlfFVxGDCFu1/se5uffPQFVHjhrbdMge6zz+Drr+Oqh1s7ZXNy5CiG3HgljB5thr+sDQ2cW66x2q2vRZfRvu+yyFNoikhOu6aBdR302W2jhlTMlIXEAAAgAElEQVSOsbdZWGsB094RoU4QBEEQ6pFUj51EtKsD8S5GfU8ECYIgCIIQn8aaeLr66qtZuXIlN910EwMGDKBNmzZhZQzD4Oc///lpJdoN+uN7URc01Wbyet6acn7/70CIyIevGZKwcFcXoTDRuuMt3kr0mKPWZ5u9m1dYxh/f3ugX2IY5tvP7MytZdqwfS6p6svdQjT8vGpji29BembTPcNL50Fec+f1SDGCRdzTFxkB+o83jUm0d73vPB/A//0gfyp2OhYxWN/pz6lhEE9tCQ3TFEsis/RMR0xIlmuAXq5y9n6Fuv9ByAEeMdNoqNUHve1HNejQHmgJerweX4WCq6/f+/HNgnhuDwD1DQd+O3PCvQloeO8KPKjYye9lTnFEdcFdE7b+i8E3nPqzpeRZrep7F+p65HG+XmZrP9mki2tWGZL7HItAJzQER7ZoGftHuvrZR3XThO2lw+WPQ5UzYuRJ6jxbBThAEQRDqmVSPnSQ8Zj0i4U4EQRAE4fRlxYoVvPvuu4wePTpmuQceeKCBetQ0sMLDuTw6j3+0lbvGDQwKmWk9D53cjjbZvaxkb1D9y0r2JuW2m5SXhQGc1b0dhTsq/f0I7QOQUH8sFhVXcNKtY5B46MtYdRbuqPTXd8Kts6i4wny/4Doyq49Q0rUfmxcvZI62EoASvTcPaC/h2OJlMBrrXH9ktxEIuVigbqJQH8zanQOZon7MA2kvoGmmS+5G7WP/ojOAOxxL/P24w7GEGSyxUrrFFLHsr9Uo4lc0QusKfS/ReiKRaDhN63m0tuz1eAyVd/WRTNJW4jRM9+Eznsv5SB/KCG0Tfc67lGvzs9i4cglzNmaGCXaaqmAYBhmKl3Hfb2bQx4V8uWQZ6Rs3oMYKd6lpkJfnz0n3VXYuU97cjNujo6kK1w3tGea4FOpGpN+mSCFkI53zWOF6BUEQohHxz5wjHVq0hbSW0C4L0ttD6y7B4S9FrBMEQRCEZok47epAIgpqbcM1CYIgCIKQGhprtXi3bt3Ytm0brVu3btB2myrWdehz75KgUItOTWH+jBFBQtmi4greXL8Lj27gdKjMnpDLnCWlQS4zMIWsbfuP8vaGPf76bv9RX9qkp0UU2uzMW1POnxaX4NUNHJqCqih4vMH1WxPxqgIGpqji0FTOyWpHcfkhdN1AVRUuyjmDsVsLqSKNTNyU5I/h9XXleH1aixXy0B6SsqisirUr36d6ywpWeXPYqOaAYeDyGigKZGdm4NV1WqZpjBvchWUl+yg7WO3vvwo4HCputwcDhTx1G/OdD+LEA4AX0AgIXR94h/K10Y9+SgVXa6tQfH67Pd4OdNOqUDEi5mqL5DqzP4/lkov2Olb5SPuGuvTsJBrGMpKoaN8/XljOUHQU/uPNY6z2FRo6bkz3HOAXRC1hrmVasNNy3ppyXl9Xzjd7j6B7dXKryrkvfR+dVn9G1sZ1aDXV4Q3aueACMxfdmDEwciSEuHjrzc11mjvtIv02WTnurOgqYH5WW6RJagSheSNOu6aB/zrc1zZ848//I6KcIAiCIDQRJDxmE0Jy2gmCIAhC06exJp5+97vfcc455zBlypSY5S666CI++eSTBupV42Fdh16/XRK2rU1LB78bP5j3S/by2bYDYdv7n9Ga7d8fM+sB+p3RmvKD1bg9OqFX1XJ0OTQFXTfw+gq0belgUNc23Dt+MK+s3ukX+uyus2JjIKoCQ3q0A/DnFItE6H6muuRThkJUo/bpDg7VmGKapsBto/uyYfWHvKA+SBoe3Dh4wP1TOijHgsSe0PYmaivpxGEO0I5FXtPBafVhoraSqdrHtQpPGfo6mpBlkUioyUTDUdrLh7Zt7b9B78sOoxvnqdv5Uu/PVY5VaIYRN79dPGdfrJx2Xt/ZssTN3XpnvjW6MlCtYJfRhUc9UyjWB5CnbgsT6eyck9WO2VfkBt8D7N4NH31E5eL3aPnpclod/CH6iVEUGDoU1q0L73hDcxqLdtZ9neV2heBQptG2SWoEobkiol3TwH8dnjgXDu6w3oUJj8PQ6Y3WL0EQBEEQghHRrgkhOe0EQRAEoenTWBNP27dv55577mHAgAFcfvnldOvWjZYtWwaVMQyDvn37nlY57SKJdqkmTFCLsv2g0Zr70l7xC2ehecZi1f+a82HScGOg8if3dLYaPf11dlCOcdBozVnqziCRrdgwQ1GO19bSAjfD1M1+kdEUiRTcOHjBcwm5ahmlei+O0YqDRmseSHvJ76ID0AEdFQemnc9y1tmJJszFEruSFdusfSO1F6svoe8bvkfVv8EUGr2kMX/w/2P2l60A+C9tMf+T9gYqRlTRMVG8KGgYoPhyyvnEzQ+9Q3nWOwEIiKJHOudxzXk9yMxwcv87JbjdHjRf2EqPI83qMmmaKfN5vAZpDpX5txWQ38EBn34K//kPfPQRfPNN7I717Qs//rH5b+xY6NChSQhXzU20S6Xj0H5fB+FuOrsLz6sbKc+RKQgNjYh2TYOg67BrreSoEwRBEIQmioh2TQjrYqzfeTDiDZm1ItPKaSc3boIgCILQ8DTWxJOqqv6243E6iXbX3PsYv9EWkK1+z9vekTzqvTGonF1wA4KEMEuEiyXKBQS1cAcbwAxtCeO0YhQMdFQUvDgU8BgKH3nz6aJUsd/IDBNtim354O50LGSUuhHN72JTMHweG5XIuHCwxDucidoXMc4R6EZ4KEjLJRctn1q0kJXxwlQmEsYyEfddqHhmr8s6nqDy2AQzwFA0ykf8mXtXerjC+BRVVRgx6iJ6p5/wT05aIed/2mM/l6yfge6qwVAUf1hPS3DTAYcCXgO26z0YoO5G9b3+Wu/HfsMci1tC6iXaen6hBYTkpz0T+Jt+I4O6tGHTvqP+9x++Zog/1H1RWRWFU35BQflGAApffZfMDKc//CkeDzvfW86I776k+7rPobAQPAHBNYzMTLj4YlOkGzfOFO1CEdEuqXZTHfHEfl+nxchbV2+hSQWhgRHRrmkg10EQBEEQmgci2jUhrIvx5CfbIjrorBWXBkRNRi4IgiAIQv3SmKLdtGnTYpYxDINXXnnltBLtvLPbBolSK7xD2M0ZjFBKyFZ+QFMCIeaUkEcdhbe9I7lSK0TzedOO6OnspwMf6edxjFZ0Vw4wRVuOQ9GDcud5fD60NLy+/kQWyCy8vnZNgcnBm94xHDHSmeF4D83nbrPqiRZm0a412B06kcpFyrUWaVuo+GW9jCTAhZa3ExouM+gYopwT63wYmOJkqECoWyKav5wKqgMML4rh9deB5oTpS80dba6BhAWPXWvhxtFU9W1H+94n/edojTeHc7QdpOFBV9PYM+I+uq9+AM1w4zKiOykt9+P7+jAq+k7mrnEDye+VGTs3ddDF1WHr1oCTbvlyOHIkev+dThg1KiDSnXceaKE+yRBiCFexzltKRaRmJNrVR8QTEeSE0wkRi5oG8RaKC4IgCILQNBDRrgkRawAl+ewEQRAEoWnQmKKdruspK9fcsa6DPrttmGsrvGzsfGOhZSx0wIuGgYIDL6pPfoqVry3e9kg54aI52mI51XQCrjD7PqGEimmh2+yEim4Jh4hUIrv5LPebggLts6HrELjgTtj/DcbSu8HwYqhO1Mv+Ctv/g166BMVnLXThYO8Fc+jt2m7W1vVcqKk0BTmAr+bBsR+gdWc458a6hfY6eBA6doQOCoxpAZqCV3HwuGciOjBI20Pe+SPJGnguVG5j88a1/Ht3O7YZPTAUK0udgqEoZgpCTcOrG2iayu8uP5OBXdviz01oXST7a0UxRTeLnj1h167YfT7nnEDIy1GjICMjuWOOIlzFuudI+f1IExft7KIaIBFPBKEOiGjXNLCuw6A/vie/Y4IgCILQhEn12MmRklpOcyINnAp3VOLymCu83R6dwh2VMsASBEEQhNOI+fPnJ1Ru+fLl9dyTpoV9/j2W0BVJ0IqXk01TQDW8fOAdykB1F32U/XHrjvQ8VJBDCXeWxRLu/DnSrHKAp1V3HNX7UA1vcFvYyhLsnAttJ+hQOg+CA9tB9/i8bdZBgEvNYMPg/2HdzoNccOQ92lJNR+UILVQvTsWLZth8hM5WkNERZdTdOLqcGe58215JZsZFvOO5j3yjlCIll3s6X0X+0OmoPR38MKIz+1p3IO2OJ8g5f1z4RbOoi0hXXg4rV8Lnn5uPpaXm+wcN+PcJwMzn99+8FNjnrf/4n+YAv0u0rXm16F8kwa5nz4CT7uKL4YwzalFxfGLdczTn+5EgV1uC5UMFytduLYjojBPHnCAIzY3m9hsuCIIgCELdENGunijo2xGnQ/Wv7rRWfAqCIAiCcHowefLkhMqNGTOmnnvStAh1tEUSymLlWUtE4GuvHGOr3pM+2v6EHHWWecpeNqg/+FxuUdx+fuHNFgIz9LHF8d1mWMjOZ8K+jYE6/I8q9CqAXetAd/s3WM3521VAUdPgyifN17f/CKW1CgMc4FBRNCctpi9meM9hOMqquOG5UQG30S2+Vfq71gaJc0H4XttFEFVR8Or9KaQ/mkJg4rDCS+c399GZffB8DMEuGXQdNm0KFunKy1NTd33Sti2MHRsQ6gYOjB6bNIXEuudorvcjYQJc9xzy92yOuU8kgXLm2P4SDUUQhFOC5vQbLgiCIAhC3RHRrp7I75UZdXWnIAiCIAinD+vXr+fll19mw4YNHD58mHbt2pGXl8fNN99MXl5eY3evwTHsT6K43OyvLaeaErJLWChIm0I2VNsKBrjROGy0oqN6xHTKWU2HCm++515gj9GZ7soBNAy/UAcqiqqyN/dWVny1nSHGNgarZeZOqoPZ7ul4vV4u09ZxoKwVI64+j25bX4OTR4MPXvdC7jVm6MnNSwPv98iHS/9iCmY+QU3xhZVc/cnbvLP1BGOUr+ir7EU7YwD9rv5DQFzb0IfC7CFcvLWInLn/FSTERR2P9hwW1/lmF0HAQFMVDMNI/cShywXFxQGR7vPPzfCXsXA4wOMJvL7uOp962oD/Vq8OtL9qFZx/vtmvBibWPUdzvR8JE+Cyh8QV7RIVKJuz+1AQhNMXWWAgCIIgCKcXktOuDkicd0EQBEFo+jTm3+tf//rXzJ07N2Lbqqry61//mr/+9a8N3q/GwLoO333wJEe/K+KsvQsj5lULcqtFyb1mqWw6oNrccOYTDcPQUTDwGCpvGhcxOe1zVK8LXVF51j2e1lTTX9nNUHUroKP5dnYZDt70jmGKthyHopvZ3XIuM0U1e8jIHZVc3HonOSe+gt6jKdIHsGjGH3lzyDg8qoazRRpvX5lGzvs3gNft67AKjhYw7R2zsRcvN7dpaTB9aZiIZrWTmeFkzpLSiLm5isqqmDp3OS7NgdPr4bVfjU3ZpJ7lSLLanT0hl6pqV7D4U5scZ8eOmYKX5aIrLISamtj7ZGTAiBEwerT5b/hwaN06+bZTSQPkdwsK49i7Q723F5da5Jarzedx3ppyZi8uQTcM0w33/N0B0S6JdiP1I/RzLRPhghAZmetoGsh1EARBEITmgeS0EwRBEARBaAY8/vjjPPHEEwwdOpTrr7+eQYMG0apVK44fP87mzZt5/fXXeeyxx8jOzmbWrFmN3d0Go/clM0032UvvgecEfgVOUVH6XsiWnJmU7D7CmJr/0PnETvCcNAWzlm0hvSPKvg1Ufb+bCncb0vJuJEepgE2LoevZgTLv34vhdWGoDs4bfwdbuYOqbz7haJcCHvs8DZdHByBf2cpdaYsYpZSgoONUDQZ0bINelYaBB0VzwgV3BQlq+b0yfZP8/QEzJGQ+UHjkBzyqhq5quD06Hx/rTc70pWYYyvSOUFMZHI7S2hYhRGVoCL+Ighk+15DmMNs0jJS6hlLm0vr++4BA9/nn8OWX4PXG3qdTJ1OcGzXKfDz3XEhLq137zZTahIi071sf7rqi7jkUZg+hoHxj1DxziYSfjNW/orIq5iwpxaub7s7ZE3LJ1xILNRz4bkbvR3N1HwqCIAiCIAiCcPogol0KkGTmgiAIgiCE8vTTTzNr1iyeeOKJsG1XXHEF99xzD7NmzeLJJ588rUQ7wBSppr0DX82DL+eB7jHzvV34O3J6DiPnfICJUXfP9P3zM3R6cIEuZ6LsXEla79Ec1wf4Ju8vQN2ioBumYKcqkNF/JJ3PHoLywU3gdaFoToZfMxOYGT3nWxQKyjfi9HpwGwZpLZ1meL6e/aPvHxKi0j6eDA3hV1XtYubY/uFt9u0YaFP3pjzfjV0ESQjDgO++MwU6S6TbsiX+fn36BIt0gwY1SD64pkxtQkRCcjnbkrmHKSqrYuqUhwKuzrKqIIFsYXGFP4RtrPCTsfpXVFbF4x9t5aRb97luDaqqXXD//Qkdt/1YYoXBTPpzLQiCIAiCIAiC0ICIaJcCJJm5IAiCIAihlJWV8ac//Slmmfvuu4/nnnuugXrUxLBEq3Nu9AtkRfoACpdvr/tCKJsgVrh8eyA3m2GgqgoKZm62u8YNJKdXJnR9J1ykS1Css8jfs5nZHz3LskEjGf/f05Pqf1FZFTc8uxq31yBNU7j/yrMSys+V3yuT1xb8IeB++vumpPqcUiZPNkW6PXtil1MUGDIkWKTr0aNh+tiMCMvRVr4xof0SzdmWjLjnrzeCq7OorIrJz6zCZ14lTVNwqApePXL+w2j9s/fHF0w24fyJkY4l0Rx3giAIgiAIgiAITQ0R7VKAdeN50q2zqLhCRDtBEARBEOjcuTMtW7aMWaZly5Z07dq1gXrURPEJbMmKCIkSOnkfMdRkiOutNhR1z2HOuBm4NAfrlpQyqGubhPv/z0+/xeU1w4S6vAYlew4nHMIvf8/mhMMm1prqati2zXTN2f/ZeeONyPs6nXD++QGRbuRIyJSxcjzCwjg+mNg1TlSsWlRc4Xe0RRP37O61UFdnZoaTp5Zv56tdh/yCHYDHa3Dj8Gy6t0+P+NmN1j+7mKcqcEH/Ttw1bmBC36FIQuDMsf0lDKYgCIIgCIIgCM0SEe1SgENT/atC31y/i4l5WVGTnwuCIAiCcHpw9dVX89JLLzFz5syoZV588UVuuummoPf69u3Ljh076rt7TY7QifeFxRUpGUc1VA6rwuwhASdSDIdTKEVlVXy8aX/QeweOnmz4EH6GAbt3w+bN4eJcebm5PRHatjWFOUukGzYM4ojXqaS+x9/++pPIMVdbavMZSOTzXlRWxZvrd1nZJNG0cHEvkohuuTozq48wJyPdnxvSjqoq/nuhaEzMy0LxPVrlQsW8RAW7SPtaxyJhMAVBEARBEARBaI6IaJcCrs3PYv6acgzAq5vhYkDCZgqCIAjC6cxtt93G1KlTKSoq4vrrryc7O5vWrVtz7NgxysvLWbBgAXv37uWpp56ivLwcMHM4lZWVNXLP65eisiqAMFEhM8OJqihgGGiqwltFFXi8tRtHhQo3DTF5HzGnXQIU7qg0Q3fa6NSmRT300Mfx47B1a7g4t3Wrua22zJ1rinRnnw2alrr+JkF9uTUj1j/lIV5b8If6dznWAuuYrXuS0HNQuKMSj+9Dp2Dey0QqE+Ze87k6nyq4LhBy1oaqwJ+vOitmDj379ZmYlxXU59qK6w0lzAuCIAiCIAiCIDQEItqlgEl5WSwqrgha3ZloPglBEARBEE5Nzj33XBRFobS0lJdeeilsu+FzLg0aNKihu9ao3PDsalCUIEEOYM6SUnRfzrkLB53BR5v2Jz2OKiqrYlFxBW+u34VHN5IWbhJxaUUrk79ncyC/3IJnknYJWa4lh2qOLevkGNN12LXLFONCxbmKiuTqAtA0TvTsRaGjI9s6ZFHeqSc3TbuEQZMnBMrMmpVwdfXlhquP8be9r0H1qxqF2UOapGgXT7ws6NsRhxZwpk2yiWf2MtHCbBaUb8TpUP3hNcEU/6YMy+bG4dlR+7UwTkjOWOJ6vM+MuOoEQRAEQRAEQThVENEuBRTuqIyYH0WSnwuCIAjC6c3NN9+cVHnDMHjllVfqqTdNA7fXAIygiXsI5AhWMOjcpkXS4yhLqLALCckKfvFcWvHK+PPL9YqS3y0C+b0ymX9bAYuKKzDAL6Ak5Bhzu4NfX3+9Kcxt2wY1NQn3wU+HDjBokPkvJyfwvF8//veLcv7+4RZ0AzQFunYeRG3k5vp0wyWaz622fZ09ITdQv+6loHxj0vU1hBssnni5Zd9RvF7f9yRK2FPLvbawuAIldNuezf5tbxVV4PVGF/8sisqqeKuoIhCSU1USvj717aAUBEEQBEEQBEFoSoholwL+/uGWsBvIWGFaJNedIAiCIJwevPDCC0nv8/LLL9dDT5oOaZoCiuKf6Lcm7u1iy8S8LCbmZSU1XrKECrvzJxnhxi50uKKIffUVSSHUJfTU8u2R2zEM+OYb+Ogj89+KFcEVvflm/MYcDujXLyDI2QW6Tp2i7pYqQaw+o1GkOkxiaF+rql2B+m+6IimXXUMKT7GuVVFZFbMXl+D1fVE8XiPmNVhUXIHLl2PytT89Sr5qhlC1PrOTEvyeFu6oxOM13aQKcN3Qngkfv0QwEQRBEARBEAThdEJEuxQQ7QYyUpgWWSkqCIIgCKcHtRHs6rJfc2H+jBFAeE67SGJLMmMku1ChaSrX5mcxKS88V5dF6CKqzAynP0eXbpg59mK1UZ+RFOztZFUf5PKiD+D5B0yhbt++xCrp3DlYmLPEuT59IC0t6T6lShCr73OYyjCJ9jCSmqYG5UgkybCYDSk8xbpWZg7FgLtOjeF4C+vzJdeQP7a/f3syCxFDr/vEGK68ePtKBBNBEITUI4vLBUEQBKHpIKJdCtCUxFdyy0pRQRAEQTg9mDZtWoPu11yojSCXaL2Jikr2RVSqojDnqrOoqnahAAagAlXVrjq1UWsOHSL/y0/5rHwpacs/IXPXjsT3feGFgEDXoUPKu5YKQaxBzmEqsQSuKGEkE6Whhado18qeQ9H67Ee7BvEce8ksRKzLdW92nxlBEIRmhiwuFwRBEISmhYh2KeDuSwYlfAMpK0UFQRAEQRCCSdVkUaKikn0RlW4YzF5cwpyrzqJFWvwxWiqdXACcPAmrVwdCXq5bB7rOGdHKd+gAF10E48aZ//oHnE9Mn566ftUjKT+H9UThjko8upl/0avHDiMZj6YiPCXTj3iOvWgLEaO5Nepy3ZvLZ0YQBKE5IovLBUEQBKFpIaJdCphpCxMTj6Zywy4IgiAIgtBUCMon59Z5/KOt3DVuYL3m/FIVxR8mUNeN4HxlSY7RisqqKCy4joLyjfHznOk6fP11QKT77DOoqYlevmVLGDUqINKdey5oWsJ9E2pPqhfbNRXhKZl+xHPshZ4bcWsIgiA0P2RxeeMhYUkFQRCESCiGUcdYL6cxiqIAIKdQEARBEJou8ve6aRDrOvgn+t06OqAq1GrCP5mJj3lrypm9uARdN3Cm1V5c8Pf9pBun18NrC/5A/u5NwYV27gyIdB9/DAcORK9QUWDo0IBIN3KkKdzFKm/R0J/x06DtqJ+phj72xjzXUYh0bp5avp2/f7gF3TBTCNx9yaCkFjgKgtA0kLFT06Ahr4OIRw2PLHQRBEE4dUj132xx2qUIGeAIgiAIgiDUDisSweMfbeWL7QcSDs9kH38BSU183Dg8m0Fd29R5/OZ3CaoabsOgMHsI+ZWV8MknAZHu229jVzJgQECku/DCeslH11g09zFyU3HHcd99jd2DMCKdG3FrCIIgNE+azN+70wgJSyoIgiBEQ0S7FGCtjjnp1tFUM6H7jcOzG7tbgiAIgiAIzYb8XpncNW4g63YeTGjCP3R18sS8rKQnPlIxQVXQtyNtDDfnfPsVo3du4MavlkHnt2K7oTp39ot0GwcN5TNXRr2KWqkUzoLqSqCsrCBPEfffX+tdG1I4lVQAgiAIgpAYstCl4Wjui8gEQTj9ENEuBRTuqOSkW8cAPLrB7MUlDOraRv4QCIIgCIIgJEEyE/6hq5MVwKGZEx+aFpxjqz5v0vN7ZbJU+5qst+6PXigjA8aMCbjpzjoLVLVBRK1UthFWV/ecmDn8ZAV549MYwqm4NQRBEAQhPrLQpWGQRWSCIDRHRLRLAQV9O6KpCh7dXFGtG4Z/UkJWcwiCIAiCICROohP+oauTc7u34831u8yNPpdbQ92kZ113JTxsC1+oaTBsWECkKygApzNsv0RErbqOJVMpnNnrcnl0MxRoDNHOukYut46iKGRmhJ+D2lLUPYfC7CEUlG+M6/hLSXvNdEwvwqkgCIIgNF1koUv9I2MhQRCaIyLapYD8XpnMueosZi8uQTcMnD5bu6zmEARBEARBqB9CVycX7qjEoxsYgFc3F1ABDXOTfvbZwa8rK6Fdu7i7xQuLlIqxZCpDL2VmOPGtUUM3ILP6SMzy+b0ymT0h1z9GnrOkNCXRKIrKqpg65SFcmgOn18NrZVX1OsaOeB3qrbXI7YcKhomKiBJ6SxAEQRCE0xkZCwmC0BwR0S5F3Dg8m0Fd2wTdPD+1fLus5hAEQRAEQWgAot2Q1/dNul88sYeKTECws5iUl4XhewwdJ6ZiZXAqQy9VVbtQAANQgaqMtgntoxtGwseQiBhVuKMSl+ZAVzXctggX9UXE61CLfoeSyD6RBEMgYTHXuv4LiytQEj5iQRAEQRCEUwMJQyoIQnNERLsUEmprl9UcgiAIgiAIdSea0yhUuIh0Q57sTXpoW7GElaA+THmI1xb8IWa4yKj7OlQm5WWFlUnVWDJW6CXr+DIznFRVu2Kep4K+HWmRZutP+ca4bSdzDIk6Cwv6dsTp9eA2DNJ0b9LnJVmBrT4ckYnuE0kwhOQdpIuKK3B5dBYWV0j0D0EQBEEQTiskDKkgCM0NEe3qkWirOZprTgxBEARBEISGJlTcmD0hl6pqF3sO1YQJFzPH9g8bWyVzkx6prTlLSqMKK0GCiqrFzfFmJxEXnTWWXFRcgZFQrclhHe9Jt2665xTiik5BzsAHE67HR10AACAASURBVDvWWG5CO4k6C/N7ZfLagj8Ectr9fVNC/YDaCWzxVmgvLK7wn8NERbREjzUVDtKGyJ0oCIIgCIIgCIIgpAYR7eqZ0IkiyXMnCIIgCIKQOHbBweXW/fnRHKqCQ1PxelMX0SBU3FhWsjeiy8kSN4IEFd2bkPPMoqBvRxyqgttroKlKzP4v9LmkFqXYJWUdryUIxhN14jkDQ0l2n2TOSf6ezQkLpHZqG3I0mvhb1D2Ht4oComq0foeKYok6EO2CYWaG019HMg7ShsidKAiCIAiCIAiCIKQGEe0amFTkJhEEQRAEQThdsAsOiqL486N5dYPJw3rSo316ytxBoeLG+LO6sea7g7g9OpqmkpnhjB6S86YrAHiq4DoKyqoSCkeJ4ssQp0TPNpbo2LGoew6Fy7cndS6s43W5dXRMp12awzzOp0LqSiSvm515a8p59rNvk3agJXJOALjvvoSOMZS6hhz1i29/epR89TiFnm54vLp/++Bu4Xn+7KKYQ1O5Nj+LSXlZCQtv1rbQz97Msf0T6nM8p6DcnwiCIAiCIAiCIDQdRLRrYCTPnSAIgiAIQuKEOo3mLCn1j6PihVusS1v+MZph+B9L9xyOGpKzCJg65SFcmgPnc4UR3Up28Ub1CZAG4PUmFh5R01R2H6qhKEQULOqeY7b94ZaknFKh57aq2sXRGjezF5fg1Q1apAXCkWZmOBMew85bU87v/x1wHSqQcBhHj1ePe04AuP/+uMcXiXgCVjSKyqpYVFzBm+t34dENnI6zeO2WAgoA53OFfuFz4+7DTA25/kFuUY/O/DXlftdkosJbXYW1WGFi5f5EEARBEARBEASh6SCiXQNT24kCQRAEQRCE0xW74DCoa5t6HUfZ23pq+XY8uk9Y8z1GEzcKs4fg0hzoqhZVVCncUel3nhmGGQJSwQirKzSUopXX7s31u1iwtjwsTKa/7VoIOvbjLSqrYvIzq/HoplB50haO1J5PMN65X1ayN+h1r44Z/P36c+PmUUuZC85XX7Q8bcnkObTqtef+g2DR9rVbC3j8o618sf1AxGtgHZf/2hPHNRmh3/UprMn9iSAIgiAIgiAIQtNBRLsGIPTGO9mJAkEQBEEQBMGkIcdRoULJpDwzrGEkcaOgfCNOrwe3YZDW0hlRVMnMcPpFHwO4dVQf2qSnBdUVLb9Y4Y5KPLoRWRSy2ta0Ogk6hTsq0S1nIWaESiscqdujU7LnMD3ap8etZ/xZ3Vi57YD/9aW5Xf35AOMdZ6LiUSSBzl7f7Am5zFlSmpI8baG5/yA4d11+r0zuGjeQdTsPRhTVrON65tNv+XjTfgwj3HloD5saqd/1LazJ/YkgCIJwuhNtsY8gCIIgNDQi2tUzkthdEARBEAQhcZrShEk0oSRSv/L3bOa1BX+gMHsIBQueiVimqtqFqoBumPnjjp700CY9LahMtDCIsZxW/rZffbdO582f484XvvPWUX14cfVOMzSnqvBWUQUer21MG6WeG4dnA6bjLrdbW15cvTOiCBnpOBMRjyKNr0PrW1ayN2V52uznRbeUu5Cce4mIap9t+wEDUFWF2RNyIwqYqqL4XZ2h/RZhTRAEQRDqB5m7EwRBEJoSItrVM5LYXRAEQRAEITGa4oRJMkJJ/p7N5O/ZDL3eiLg9ND/d6+t34fWa4THn31YQU5yLJQoVdc8xxcI6Cp2R2vixzyW351AN89eWm3nZ3DqPf7SVu7rnmMcbgRuHZ3Pj8GyeWr49aREyGpagu/tQTVidofXldmvL6m8rIUL40dowMS+L0t2H+bricNSce/YcdhZW3+z3BAoGVdWuoDIBQdAMm2oYqem3IAiCIAjxkbk7QRAEoSkhol09I4ndBUEQBEEQAsRy0p3qEyZ2UeyrXYf48Jv9ALg8OouKK+KGQYwkIBZ1z2HqlIdwaQ6czxXWWegMbcN6XVRWxcLiClxuHR1Yue0Aa254mPnzfx9VuIPoY2F7rj4D2LLvaEyXml3QdWgqDtV0pGmqwp5DNQD+82aFmLS2z56QC/+fvXuPj6q69///3jO5EEIMkSKgAVK5lpvIzQC1gdri4fLTKiq1aCMK1HoplGM9ffR3vgh8Ba88lFRPIQcBb6gYsP0pghbB1gIBCQLhKtdILAQNSRASnGRm//4IM2QyM8kk2ZOZJK/n48Gjh73X2nvttee4P+zPXmtJ+tN7uTJUmYCrbX09v+e1GYqOssnp9L4Wd93vysq19F/H5TJNRdltkmmqwnV5PcBA/yao3kfBrh0IAACswbs7AEAkIWkXYizsDgAAcFlNI+lawgsTdxLsT+/lem03A5SvTXaX/nLYo+Sy2UOa6HTHtPPe36fd+SWSJIc9Wmv6/bTGpN3grkmaPaGv1u09pbH9Ovm0bfXOfH1fXrlenM1QwBGWVRO6TqdLvxzWRaakrJx8vbX9K63ema83p6bq4dHdPaP7TEmmaWrvv0s05//bK4ezspffzcn3jGyU/I/wdJ+z6qg+p8vUpGGddU3bOJ+19NzX4FZe4ZIkzzSXRaWOGpOx/HsBAIDw4VkMAIgkJO0aAetPAAAAVKppJF19XphE0hp4dTFxULKydpxUudNUtN3QxEHJkuo+RWjqV7mKcVao3DQV3SompInOwV2T1PeaRE/STpLOtG7rU67qPZGkOe/vU3mFS9uOn1Wvjgle00i6k2uSahxhWT2he/ugZK3ema/yS/VrmnrTkFTuvJxSq36O6iM8V+/M15qd+T6j+qKjbJpYbZRe9Wtws9kM2Q156rl/n4HuJf9eAAAgvHgWAwAiBUk7AAAANJraRtLV5YVJTl6R7s7c6kl8vTV9eMC6kZbcG9w1SW9NH+7TprpOETr43wf15tv/b+Wadm8vCfm1TRyUrFWff6UKlyRD+kevVOX8n2c1+NL+6knHn/RoL8elUWdVpwGVLifi3FNu2gzV+Lt4c2qqVu/Ml6HK6TSzcvI9yTK7zQi4/p8kvbvjpGeknd1eOaVmTl5RwCSfe+RcRYVLd9/QRVdXGV1XVfVrMC61Zd6t/dSrY0LA31yk/R4BAEDd8CwHAIQKSTsAAAA0murJlJc3Han3y47VO/M9iRiH09TqKgmhquo6eq2xVE9Q5uQV6d/FZZfXa7Pb9HWV5FLA4/z7YOUUlV1XNUqbJw3topXbvpIpQ07DUPbo2zxJu+pJx4JzF73qm9WOVXUdumDWcXOPgLMZlX0kVSbK7hzSucb1/96aPlyrd+br2+++16ZDZ7Ry21d6Nydfc/6fyvXjqq4jd+j0d5dH/0nqe3WifnVDl4D9UdM1NKXfIwAACA7PcgBAKJG0AwAAQKNxJ1OseNlh1PJ3t7qOXgulQF9lV+2PKLtNN/3oKn166Ize3v6V1lxar60uIxCt/vK76jFvH5Ssdy9N7Vl1hJvkO43lpKFddODUXp9pQN1qGllZ/Tqq3kep8tymaXqmy6zNNW3j9O1333umynRUuPR//porU95r6WUfK5TNqJyu02ZIRaWOWttWl36OpN8jAACoe+zEsxwAEEok7QAAANDorHjZcfugZL2bk++1zpk/1RNJoVz3rbrq67sFSlRW7Q+n06WycqcqXGad+ycUX35XP+bsCX0lw5BkXvrfy/ytS1jTNJF1uY7Ua9spyl55H6PsNt0/IkX7Tp3T2H6dAo5oc4+Am/fBPjkqXD6JXfdSdzWtiVf999LQPg7n7xEAAHirz3OdZzkAIJRI2gEAAKDRBFpHrD4vOwZ3TdJb01JrTQj5SyQ1huovgW4flBwwUVm9P8b266TPT5xVeYVLdpv3GmxennjC66+h+PK7+jHX7T2lCmflmm9Op+85qo888zcNaKDRhu4k27q9pzzryrmvI/XadpJZmWVzuVxatuWEKpwufX7irHp1TAg4ctE9laapypFz9kuj6KpO1VnTmnjV+6+hfRyu3yMAAPBVn+c6z3IAQCiRtLMQi9ACAADUbPLSbM8XzA192VGX2KvqtJwNWUevLqq/BDIkv4lK93VUXVfNPUJt9c58ZeXk663tX2m1v2ky58zxOmd9kqG19WNNCcW6JlwDfc3u3u5O1F0axydJstsrz5F9rFAVl5JvTpfkdHkn9aq2vaapNGdP6Kt1e0/pX4e/9ZyrtjXxauqP+iac+fcCADSu0tJSvf7661q9erW++OILFRcX68orr9SIESP02GOPaeTIkQHrrl+/Xk899ZR27typqKgojRw5UnPnztXgwYP9lne5XHrppZeUmZmpo0ePKikpSePHj9f8+fN11VVXheoSUQ/1fa7zLAcAhApJO4uwCC0AAEDtqiZYGvKyoz6xV2PHa9VfAt0+KFm3D0r2SpDV1Cb3+moVzuC//q5rMjSYPrFqykvJO5nmqHI97u3uRF3VUXDu0XVV+9NuMyTDkNPp/wWbV1m7TWk92+uqhFjdPijZ0/6qicdg1sSrqT8AAJHvlltu0SeffKIZM2ZoyZIluuqqq7Rjxw799re/1Y033qhly5bpvvvu86m3bNkyPfDAA3r00Uf13nvvqbS0VL/73e80YsQIffTRRxo1apRPnSlTpuitt97SkiVLNGnSJB06dEi/+tWvNHToUG3btk0dO3YM/QWjVoE+nAIAIJxI2lmERWgBAABqZ9W6H/WJvepSx4oZFAIldwKNCPPXJn9ff9fWtrokQwOdv/o5apvyMlhJrWMujX6rnKIyqXWM13U6yl1yVavjdJmettzYo73OnLuoSUO7+CQOq7f5zampWrMzX+/uOKlPDhR4pih1t7+mxJuVfQwAiAwXL17UuHHj9OKLL3q2paWlac2aNerXr58effRR3X777briiis8+/Pz8/Xwww9r2LBhWrRokQzD0JVXXqnXX39d3bp1069//WsdPnxYsbGxnjqrV6/Wa6+9pj/84Q+aMmWKJOn666/XG2+8oSFDhuh3v/udVq1a1XgXDr/4+B4AEKlI2lmERWgBAABqZ9ULkfrEXsHWseIlTtWkz8Oju9e7TdWTS5I8bYuyGbpzSGfP6LH6qJosMwxDSa1jQvoSq6jU4Zn60nbp71Wvc83OfL3z+VequJS5M1SZ6E1qHaNJmVtV4azM+B04vU9vTUv19G2gNrun1PSXFA2UeOMlHgA0T71799aYMWP8bu/evbsOHTqk7OxsrzKLFy/WxYsXNWXKFBmG4dkeHx+vSZMmKSMjQ1lZWZo8ebJn3wsvvCBJuv/++73OM3jwYA0YMEBZWVnKz89XcnLwo7xbqlAuQ8PH9wCASGULdwOaC/eLhlljevEPewAAgACsipHqE3sFW8ffS5y6cCd9Fn58SJOXZisnr6hBbRrcNUkPj+7uNY2ky5QcTlMrt31V6zmqtuvlTUe8yg7umqTZE/rKZjPkMk3N+2CflvzjqL4vr//11yT12naKjbbJbkgx0b7r+n3z3feehJ0kyZBmT+irff8u8STsJN92Bbpn7qSk3Qh+lGdD7z8AIDItXbpUd911l999CQkJkiTT9JqgWWvXrpUkDR8+3KeOe5u7jCQVFRVpy5Ytatu2rXr37u23jmma+vDDD+t3ES1IXeKp+qhPjAAAQGNgpJ2FmCYHAACg8dQn9gqmjmf0WYX36LNgv/Su65fbVdtU23ncbfu+vHL9N1PBncPf6DF3W78uLpPLND3rzH1yoMCzppzdXvNLrOrtdf89qXWM37Vh3EnK1TvzZUg6dPo7zxSW5U7Tey07VS5nt+/fJT7bbTbDq12BRizWZ/05ZtAAgJbF6XTq6NGjiouL09ChQ72279+/X5KUkpLiU8+9LTc317Nt3759Mk3Tb/lAdeBfqEfCsUYtACBSkbQDAAAAqnCPPpv9t71yukzNeX+fZJqqcJlBTZdY36TPym1fafbf9splmoqyGRrV6yq1T4j1mv6yatJr1Y6TcjpN2aslsPyp/uJr9c58rdmZXznNpt2mKJshp8uUYVT+r1Q5NeUdgwNPvVk1EWgzDE398Q+1YusJT0LRZsinv3LyirR6Z76ycvJVXuHyScb5Y0qaOChZWTtOyuE0ZTOkn/a+yqtMTS/e6prc5SUeALQs69evV1FRkWbOnKkrr7zSs72oqEgOh0OGYSgxMdGnXtu2bSVJBQUFnm2nT5+WJCUl+X92+KsD/xrjIxo+vgcARCKSdgAAAMAl7pFi7tFn7pFsUi2j2p54wvN/1ifpk5NXpNl/26uKSwkzh9PUx/srX+i9m5Ovt6aleiXuJCkrJ19OmVKVNXYCqf7iy5A8STyn06VfDuuiq9vGKal1jOZ9sM9TbuKgwOvtVE0EukxTmZ8dk2nKk4ir/mW8O8nnTupV517rrur/RtsNTbyUtHxr+nDPqLxPDhTos8PfeCUErXzxxks8AGgZHA6HHn/8cfXs2VPz58/32ldWViZJio6O9ls3JiZGklRaWtqgOtVlZmYqMzMzyCtovviIBgDQUpG0AwAAAOQ9csxr9JnNkOkyZZo1rHkyZ47nGNmbjij12nZ6eHT3oM6ZfaxQ/y4u84xwq85fojD7WKEqnJXJL6czuCk4q05L2ffqREXZK5N4drvNazRfr44JQb0gS722nWxG5Vp4UuVUlnabIZfLlEuVI+2q9pc7yVf9Kg1JUXZDdw7prH5XJ6qo1OF3ek33mn4VLjNkU2UBACJbSkqK8vLygi4/efJkvfHGGwH3P/LII/rmm2+0efNmtW7d2mtfXFycJKm8vNxvXYfDIUle9epTp7rp06dr+vTpMoL4KKe54yMaAEBLRNIOAAAAkPfIMffoM1OVI9oqZMpmMzR7Qt+gposMZhpNryShzVB0lE0VFa7KgXOG5HRdKmhI35V5v/xLah0jm1E5Ji06yqak1jF6+VKysKZzVp0S0+W6dALTO40W7AuywV2TNO/WfpVTerpMxUTbNHtCX0/Sbe+/S1T1dWPV0X72S9N/bjxYIKerMnE3cVDgqTj9HYP15gCg5UlPT1dhYWHQ5YcNGxZw39y5c5WVlaUNGzaoR48ePvuTkpIUExMjh8OhkpISnykyi4uLJUkdOnTwbOvYsaOkyqk1/fFXBw1Xl7WHAQCIdCTtAAAAEHa1vWxZue0rrdt7SmP7ddKvbugSkjZUTwjdPijZM6LNZUqGTBWVOgLWr75uXG2jwLyShC5Tk4Z11jVt4zyJqGfWHdD2E0UyTWnxP4+pS7t4/eqGLp6175yuykRi/2sSNef9fapw1pwsrN4+qXIaSqfLrPeINfe9qH5vcvKKNO+DfXJcWj/P3Sb3NFdJrWO0bu8pOV2+bajpt8BUWQDQss2dO9eS48yfP1+LFi3Shg0bNGjQIL9l7Ha7+vTpo127dun48eMaOHCg1/4TJ05Ikvr37+/Z1rdvXxmG4dlXnb86aJi6fjQFAECkI2kHAACAsKrtZcvKbV/pT+/lSpI+O/ytJIUkcRcoIRTsyK66jgKrXr76SLPYaLtX+XV7T6lXxwSvte+cLlOfn7j8Nf/35S6t2Znv92WV10g3u00yTTldZoNGrFVNzn1+4qx6dUzwTGPpL4Hpbpf7fpuSbLo8jWYwL96YKgsA0BALFizQwoULfRJ269ev1xVXXKERI0Z4to0bN067du1Sdna2T9Ju69atnjJuSUlJGj58uLZs2aKDBw+qd+/ePnUMw9DYsWNDcWktUl0/mgIAINLZwt0AAAAAtGz+XrZUtW7vqRr/bqXBXZM8a9G9vOmIJOnNqamaNaZXrV9uu5N+wZQNpvzYfp28/t630xXKPlYYcO07qXLU2tvbv9LKbV/VeL63pqXqrenDg25rIIHunTtBaDd81wGsWsdmSCN7/MDThtp+CwAANMRTTz2l5557Tn//+999Rti9/fbb+vjjj722Pfjgg2rVqpWWL18us8p00hcuXNCqVauUnJysO+64w6vOzJkzJUnLli3z2p6Tk6M9e/bo9ttvV+fOna28rBatppgDAICmiJF2AAAACKvaRqiN7dfJM8LO/fdQ8jfay53IC1S+6ui8uiTAair/qxu66KvCC8r87JhMU1qx9YRmT+ir2Gibvi+vHKXmj9OUZv9tr2fUW03na+iX6IHuXU3TWFavM/NnPT37WbMOABAqzzzzjP70pz9pwIABeu6553z2b9u2TSkpKV7bOnfurIyMDE2fPl0zZszQnDlzVFZWpkcffVSFhYVat26dWrVq5VXnzjvv1OTJk/Xiiy/qRz/6kSZNmqRDhw7pnnvuUXJysjIyMkJ5mS0OU2cDAJobknYAAAAIq9petriTV+v3ndZ/9O0YsjXt3OoyzVJ911GpbQ0/t4S4aEmVI+jKK1wqKnXozampenHDl/rX4W8DJu5cZv3XqavezjU782VKPtN3SjXfu0AJydrq8OINABAKf/nLXyRJe/bs0Z49e4KuN23aNCUnJ2vBggXq0qWLoqKiNGLECG3ZskVDhgzxW+e1117T0KFD9fzzz+u3v/2tkpKSNH78eM2fP18dOnSw5HrgHU/V5QOrQNsAAIgEhll1fD/qxDAMSRJdCABA5OJ5HRmq34e6vCipb2Ksvtznc4/2qul8L286ooUfH5LLlOyGNGtMrxpfGlU9fjDXE6gtVbe7TPkk72KibHprWsP6KSevSHf/b2U7JSnGbuit6cN5sQUAzRyxU2TgPtQs2HjKXzlJjRpbAgCaN6uf2Yy0AwAAQKNyJ4PciajakktrduZ7poOsbeSbFeoy2qs+0znWZSRfoLZU3f5dWbkW//OYd8U6/mPBXxI1+1ihyi8l7CSp3Bl49B5fqwMAgMYUbDwVaL3cYGMxAAAaG0k7AAAANKol/zjqGb3lqHBpzc78GkeavbvjpGckmd1ev3XO6ppUqsvadBMHJfudPrL6Od1/T2odU6dEX03TTLq3d2kXr8x/HlVeYalMSU6X/wRboOmh/H1tnnptO0VH2Tz3Ktpu+G1rY4+EBAAACPbDqUDlWEMXABCpSNoBAACg0eTkFemTg2e8ttU0Jiz7WKEqXJUlDEl3DPZdV63qsd0JKXdd9/8diqRS9WTVxEHJAffNntBX8z7Y5/X3olKHZSPTfnVDF/XqmOA1lWb1F1BV22QzDM27tZ9+dUOXgF+qD+6apLempda4pp1Ut5GDAAAAVgh2ZoRA5VhDFwAQqUjaAQAAoNFkHyv0mufdbsgr2SV5J9+qfx1dvWzVOu6EVJTdJpmmKlymJ5kWiqRSTcmq6vvW7T3l9feiUketa9/VVW0vr6q2yWWamv23verVMaHGL9WDGXFYnylCAQAAGirYmRHc5XLyivTypiOeOIlkHQAgEpG0AwAAQKNxJ3iqjvaqPqVk9VFxwXwJXT1JJlWO4HOUu7T36xJF2Qw5XaalSaWk1jGyGYYk3+NW3ze2Xyd9fuJsyBNbNb2ASr22nWyGIdelpKnr0hSaD4/u3qCvzeuyBiAAAEA4MJ03AKCpIGkHAACARlOX0WDu0WsPj+5ep9FedvdIO6cpl6Tcr0sUZbdp0rDOAad4rKucvCLN+2CfnC5Tdpuh2RP6eq0RV32fe/rKcCa2BndN0rxb+2n23/bK5TIVE305edjQr835Wh0AAIRKXdcm9ofpvAEATQVJOwAAADSq2kaD1WeqxerJQEl6ccOX2nzkW8/LGeNSuWAEWh+v+vSXpiTTNFVU6vDUDbQvEhJbkZA8BAAACJZVI+SYzhsA0FQ06aTdhQsX9P777+tvf/ubdu3apZMnTyouLk4pKSm69957NW3aNMXFxfmtu379ej311FPauXOnoqKiNHLkSM2dO1eDBw9u5KsAAACAW7BTLfr74rp6Umzmz3pq2/GzngTaOztO6vYAI+2qJ+kCrY/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"text/plain": "<Figure size 2160x720 with 3 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-18T13:45:31.012812Z",
"start_time": "2019-06-18T13:45:31.001761Z"
},
"trusted": true
},
"cell_type": "code",
"source": "figure(figsize=(10,10))\nplot(ra, dec, '.')\nplot(raU, decU, '.')",
"execution_count": 76,
"outputs": [
{
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x7fe1f48b8390>]"
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 720x720 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-18T13:45:31.012812Z",
"start_time": "2019-06-18T13:45:31.001761Z"
},
"trusted": true
},
"cell_type": "code",
"source": "## Convert coordinates from Heliocentric onsky to PhaseSpace\n\nbodies = coord.SkyCoord(ra=RA*u.deg,\n dec=DEC*u.deg,\n distance=DIST*u.kpc,\n pm_ra_cosdec=PMRA*u.mas/u.yr,\n pm_dec=PMDEC*u.mas/u.yr,\n radial_velocity=VR*u.km/u.s)\ngc_frame = coord.Galactocentric(galcen_distance=d_sunGC*u.kpc,\n z_sun=27*u.pc,\n galcen_v_sun=v_sun)\ngalcen = bodies.transform_to(gc_frame)\nbodiesw0 = gd.PhaseSpacePosition(galcen.data)\n\n\n\n#c = Jhelum(phi1=phi1_0, phi2=phi2*u.deg, distance=d*u.kpc, \n# pm_phi1_cosphi2=pm1*u.mas/u.yr,\n## pm_phi2=pm2*u.mas/u.yr,\n## radial_velocity=vr*u.km/u.s)\n#w0 = gd.PhaseSpacePosition(c.transform_to(gc_frame).cartesian)\n# \n#orbit = ham.integrate_orbit(w0, dt=dt, n_steps=n_steps)\n#model_jhelum = orbit.to_coord_frame(Jhelum, galactocentric_frame=gc_frame)",
"execution_count": null,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-18T13:52:14.395651Z",
"start_time": "2019-06-18T13:52:13.399223Z"
},
"trusted": true
},
"cell_type": "code",
"source": "## Unperturbed orbit\nUPOTS = [None, None] ## Potential list, None means test particle\n\nunn = DirectNBody(w0=bodiesw0, particle_potentials=UPOTS, external_potential=mw)\nuorbs = unn.integrate_orbit(dt=-0.5*u.Myr, n_steps=300)\nua = uorbs.to_coord_frame(coord.ICRS)\n\nplt.figure(figsize=(10,10))\nplt.plot(uorbs[:,0].t, uorbs[:,0].spherical.distance, marker='None', label=\"M54\")\nplt.plot(uorbs[:,1].t, uorbs[:,1].spherical.distance, marker='None', label=\"Jhelum\")\nplt.xlabel('$t$ [{0}]'.format(uorbs.t.unit.to_string('latex')))\nplt.ylabel('$r$ [{0}]'.format(uorbs.x.unit.to_string('latex')))\nplt.legend()\nplt.title('Unperturbed')\n\nfig = plt.figure(figsize=(30,10))\nax1 = plt.subplot(131)\nax2 = plt.subplot(132)\nax3 = plt.subplot(133)\n#ax1.plot(ua[:,1].ra.wrap_at(180*u.deg), ua[:,1].radial_velocity, label='Unperturbed')\n#ax2.plot(ua[:,1].ra.wrap_at(180*u.deg), ua[:,1].pm_ra_cosdec)\n#ax3.plot(ua[:,1].ra.wrap_at(180*u.deg), ua[:,1].pm_dec)\n\n\n## Perturbed orbit by differente Sag masses\nfor msag in [1.0, 2.5, 5.0, 7.5, 10.0, 12.5, 15.0]:\n ## Sagittarius mass and potential (Law & Majeski)\n ## Rs = (M/1e9)^(1/3) \n m54pot = gp.PlummerPotential(m=msag*1e9, b=1.2, units=galactic)\n \n W0 = bodiesw0 ## Initial positions\n POTS = [m54pot, None] ## Potential list, None means test particle\n \n # Integrate!\n nn = DirectNBody(w0=W0, particle_potentials=POTS, external_potential=mw)\n orbs = nn.integrate_orbit(dt=0.5*u.Myr, n_steps=700)\n forbs = nn.integrate_orbit(dt=-0.5*u.Myr, n_steps=700)\n\n a = orbs.to_coord_frame(coord.ICRS)\n fa = orbs.to_coord_frame(coord.ICRS)\n \n ORa = np.r_[fa[:,1].ra.wrap_at(wang).value, a[:,1].ra.wrap_at(wang)[::-1].value]\n OVr = np.r_[fa[:,1].radial_velocity, a[:,1].radial_velocity[::-1]]\n Opmra = np.r_[fa[:,1].pm_ra_cosdec, a[:,1].pm_ra_cosdec[::-1]]\n Opmdec = np.r_[fa[:,1].pm_dec, a[:,1].pm_dec[::-1]]\n \n #print(ORa)\n ax1.plot(ORa, OVr, label=r\"$M_{Sag}$ = \"+str(msag)+r\" x $10^{9}$ $M_{\\odot}$\")\n ax2.plot(ORa, Opmra)\n ax3.plot(ORa, Opmdec)\n #oo.pm_de\n #oo.pm_ra_cosdec\n #oo.radial_velocity\n \nfig.legend(fontsize=18)\nax1.set_xlabel('RA [deg]')\nax1.set_ylabel('Vlos [km/s]')\nax2.set_xlabel('RA [deg]')\nax2.set_ylabel('pmra [mas/yr]')\nax3.set_xlabel('RA [deg]')\nax3.set_ylabel('pmdec [mas/yr]')\n\n\nax1.axvspan(-50, 10, color='k', alpha=0.2)\nax2.axvspan(-50, 10, color='k', alpha=0.2)\nax3.axvspan(-50, 10, color='k', alpha=0.2)\nplt.show()\n\n#orbit = mw.integrate_orbit(w0, dt=0.5*u.Myr, n_steps=100)\n#orbit.plot()\n#plt.show()\n\n\njf = np.load('Jorbit_m54_jorrit.npy')\n\n\nJorcoord = coord.Galactocentric(x=jf[:,0]*u.kpc, y=jf[:,1]*u.kpc, z=jf[:,2]*u.kpc,\n v_x=jf[:,3]*u.km/u.s, v_y=jf[:,4]*u.km/u.s, v_z=jf[:,5]*u.km/u.s)",
"execution_count": null,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2019-06-18T13:14:46.518187Z",
"start_time": "2019-06-18T13:14:46.515919Z"
},
"trusted": true
},
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"source": "Ja = Jorcoord.transform_to(coord.ICRS)\n\n\n## Evolve Jhelum in MW only for -5Gyr\n## Evolve Jhelum + M54 until present. \n## \n\no1 = a[:,0]\no2 = a[:,1]",
"execution_count": null,
"outputs": []
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"cell_type": "code",
"source": "\nJa_Vr = Ja.radial_velocity.value\nJa_RA = Ja.ra.wrap_at(wang).value",
"execution_count": null,
"outputs": []
},
{
"metadata": {
"trusted": true
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"cell_type": "code",
"source": "plt.plot(Ja_RA[0:10], Ja_Vr[0:10])",
"execution_count": null,
"outputs": []
},
{
"metadata": {
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"cell_type": "code",
"source": "Cdist = 16.3\nCra = 48.0675\t\nCdec = -55.2162\t \nCpmra = 1.61 \nCpmdec = -2.05\nCvlos = 68.2\n\nC2dist = 16.3\nC2ra = 48.0675\t\nC2dec = -55.2162\t \nC2pmra = 1.33\nC2pmdec = -3.06\nC2vlos = 68.2\n\n\n## Particles\nRA = [ra, Cra, C2ra]\nDEC = [dec, Cdec, C2dec]\nDIST = [dist, Cdist, C2dist]\nPMRA = [pmra, Cpmra, C2pmra]\nPMDEC = [pmdec, Cpmdec, C2pmdec]\nVR = [Vr, Cvlos, C2vlos]\n\n\nbodies = coord.SkyCoord(ra=RA*u.deg,\n dec=DEC*u.deg,\n distance=DIST*u.kpc,\n pm_ra_cosdec=PMRA*u.mas/u.yr,\n pm_dec=PMDEC*u.mas/u.yr,\n radial_velocity=VR*u.km/u.s)\ngc_frame = coord.Galactocentric(galcen_distance=d_sunGC*u.kpc,\n z_sun=27*u.pc,\n galcen_v_sun=v_sun)\ngalcen = bodies.transform_to(gc_frame)\nbodiesw0 = gd.PhaseSpacePosition(galcen.data)\n\n\n## Unperturbed orbit\n\nm54pot = gp.PlummerPotential(m=6*1e9, b=0.6, units=galactic)\nW0 = bodiesw0 ## Initial positions\nUPOTS = [None, None, None] ## Potential list, None means test particle\n\nmw = gp.BovyMWPotential2014()\nmw = gp.MilkyWayPotential()\nunn = DirectNBody(w0=W0, particle_potentials=UPOTS, external_potential=mw)\n\nprint(unn)\nuorbs = unn.integrate_orbit(dt=0.5*u.Myr, n_steps=600)\nfuorbs = unn.integrate_orbit(dt=-0.5*u.Myr, n_steps=600)\nua = uorbs.to_coord_frame(coord.ICRS)\nfua = fuorbs.to_coord_frame(coord.ICRS)\n \nORa = np.r_[ ua[:,1].ra.wrap_at(wang).value[::-1], fua[:,1].ra.wrap_at(wang).value]\nODec = np.r_[ ua[:,1].dec.value[::-1], fua[:,1].dec.value ]\nOVr = np.r_[ ua[:,1].radial_velocity[::-1], fua[:,1].radial_velocity ]\nOpmra = np.r_[ ua[:,1].pm_ra_cosdec[::-1], fua[:,1].pm_ra_cosdec ]\nOpmdec = np.r_[ua[:,1].pm_dec[::-1], fua[:,1].pm_dec ]\n\nO2Ra = np.r_[ ua[:,2].ra.wrap_at(wang).value[::-1], fua[:,2].ra.wrap_at(wang).value]\nO2Dec = np.r_[ ua[:,2].dec.value[::-1], fua[:,2].dec.value ]\nO2Vr = np.r_[ ua[:,2].radial_velocity[::-1], fua[:,2].radial_velocity ]\nO2pmra = np.r_[ ua[:,2].pm_ra_cosdec[::-1], fua[:,2].pm_ra_cosdec ]\nO2pmdec = np.r_[ua[:,2].pm_dec[::-1], fua[:,2].pm_dec ]\n\n\nplt.figure(figsize=(8,8))\nplt.subplot(111)\nplt.xlabel('RA [deg]')\nplt.ylabel('Dec [deg]')\nplt.plot(ORa, ODec, label='NGC 1261 orbit (Baumgardt)')\nplt.plot(O2Ra, O2Dec, label='NGC 1261 orbit (Dambis)')\n\nara = [23.75, 23.77, 26.15, 21.23]\nadec = [-49.89, -50.40, -46.34, -53.70]\nplt.plot(ara, adec, 'o', label='Phoenix')\n\n\nplt.xlim(-50, 70)\nplt.ylim(-80,-20)\nplt.plot(Cra, Cdec, 'r*', ms=10, label='NGC 1261 present day')\nplt.xlim(plt.xlim()[::-1])\nplt.legend(fontsize=14)\n",
"execution_count": null,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "aaa = \"\"\"C1 23.75 -49.89\n C2 23.77 -50.40\n N 26.15 -46.34 \n S 21.23 -53.70\"\"\"",
"execution_count": null,
"outputs": []
},
{
"metadata": {
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"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
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