{ "cells": [ { "cell_type": "markdown", "id": "504a40b4", "metadata": {}, "source": [ "# Example - 65 - Probe-Orbiter Deflection Maneuver" ] }, { "cell_type": "markdown", "id": "cd83962c", "metadata": {}, "source": [ "In this example, we illustrate the calculation of the orbiter divert maneuver delta-V after probe release. " ] }, { "cell_type": "code", "execution_count": 1, "id": "09f92eab", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from AMAT.maneuver import ProbeOrbiterDeflection" ] }, { "cell_type": "markdown", "id": "eb3f40fa", "metadata": {}, "source": [ "The probe will enter near equator, prograde. The orbiter will target a 4000 km periapsis altitude, near equatorial retrograde orbit. The deflection manuever is performed 60 days before probe entry, at a distance of 4225 times the radius of Neptune." ] }, { "cell_type": "code", "execution_count": 2, "id": "5a909b89", "metadata": {}, "outputs": [], "source": [ "deflection = ProbeOrbiterDeflection(arrivalPlanet=\"NEPTUNE\", \n", " v_inf_vec_icrf_kms=np.array([17.78952518, 8.62038536, 3.15801163]),\n", " rp_probe=(24622+400)*1e3, psi_probe=3*np.pi/2, h_EI_probe=1000e3,\n", " rp_space=(24622+4000)*1e3, psi_space=np.pi/2,\n", " r_dv_rp=4225)" ] }, { "cell_type": "markdown", "id": "9830e413", "metadata": {}, "source": [ "## Compute the orbit divert maneuver delta-V" ] }, { "cell_type": "code", "execution_count": 3, "id": "ca42674a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Divert manuever DV: [-1.15867678e+00 1.55142771e+01 -9.20109868e-04] m/s\n" ] } ], "source": [ "print(\"Divert manuever DV: \"+str(deflection.dv_maneuver_vec)+ \" m/s\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "38cdd6ed", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Divert manuever DV magnitude: 15.557 m/s\n" ] } ], "source": [ "print(\"Divert manuever DV magnitude: \"+str(round(deflection.dv_maneuver_mag,3))+ \" m/s\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "a10b30d7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TOF from probe release to atm. entry interface: 60.070866 days\n", "TOF from probe release to orbiter periapsis : 60.071683 days\n" ] } ], "source": [ "print(\"TOF from probe release to atm. entry interface: \"+str(round(deflection.TOF_probe,6))+ \" days\")\n", "print(\"TOF from probe release to orbiter periapsis : \"+str(round(deflection.TOF_space,6))+ \" days\")" ] }, { "cell_type": "markdown", "id": "84c1d3d8", "metadata": {}, "source": [ "Run ```python example-65-probe-orbiter-deflection-viz.py``` from your virtual env terminal to generate the figure below showing the geometry of the two approach trajectories." ] }, { "cell_type": "code", "execution_count": 6, "id": "14c44f54", "metadata": {}, "outputs": [ { "data": { "image/png": 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fAAAAmEiKWG1GWPNSMQBAh6Q/AQAAMJEUsciWngMAuLEksQUAAJhOnSW2qVQMALAvZYmt3wADAACMVGUjrFmpGABgX3LPDgAAwHRmNgsBAMZI7tkBAACYTpLYAgAj1RJbAACAiSSbhQAAI9VWWQIAAJhIsvQcADBSnXUmqlIxAAAAw2o3MgIAY1RWWQIAAJhO5UZGAGCMJLEFAACYTjLIAgDGSDoTAAAA00k2HwMAxkg6EwAAAJNa2HwMADhayhLbRakYAACAotrmYwDA0ZJf/wIAAEyqtvkYAHC0tJvYplI9AAAAw6psv5CqVAwAsK+W2AIAAEwn2eEZABijltgCAABMJ9nhGQAYo7bEEgAAwHSS/UIAgDGqrCdRl4oBAAAoqt3LCAAcrbLEEgAAwKQq9zICAEdLElsAAIBJJeMsAOBoSU8CAABgUsnmYwDA0ZKeBAAAwKSSzccAgKOlLLHVkwAAAJhEbfMxAOA4ye9+AQAAplbZfAwAOE7aTWxTqR4AAICimS1DAICj1RJbAACASaVsAbq6VAwAsKN2tw4AAMCkUnY746JUDACwo5bYAgAATK12OyMAcJwq60bUpWIAAAAOUZscAwAcp7IiPgAAwNRmhloAwHGSbgQAAMDUkqEWAHCcZA9TAACAqSWbjwEAx0lZYjsvFQMAAHCgOlvKFgDgUClLbHUjAAAAplLbfAwAOELKbtWR2AIAAExlZilbAOAIKWKeJbapVA8AAMAhkl1DAIDj1BJbAACAqSWbjwEAx6ktrgQAAHALavNjAIAj1BJbAACAW1AbbQEAR6iyPkRdKgYAAOBAyeZjAMARKn0IAACAW5CyzcfmpWIAgB9LElsAAIBbkLLNx1alYgCAH0sSWwAAgNtR23wMALip5D4dAACA21HZfAwAuKmUJbaLUjEAAACHS25qBABuKllZCQAA4HYkNzUCADeVdhPbVKoHAADgQMkUGQDgppK18AEAAG5NbcAFANxUrQMBAABwOyqbjwEAN1XrQAAAANyOZPMxAOCmqiyxrUrFAAAAHC7ZfAwAuKnKr3wBAABuzdzmYwDAjSSJLQAAwK2prUQHANxIktgCAADcmlk25qpKxQAAllUCAAC4RcmYCwC4kaT3AAAAcGtSxMJStgDA4ZLeAwAAwG2qszFXKhUDAK+7JLEFAAC4TZXNxwCAwyW/7wUAALhNyYbPAMCN1BJbAACAW5NsHwIA3EjtDh0AAIDbNLcYHQBwuFpiCwAAcJsqwy4A4HBV1nWoS8UAAADcVLKULQBwuErXAQAA4DYlS9kCAIdLElsAAIDblCIWlrIFAA6UJLYAAAC3rM4S21QqBgBea8ntOQAAALdsls2VqUrFAMBrLWWJ7aJUDAAAwBFSNvKqS8UAwGstWVAJAADgliUjLwDgQGm335BK9QAAAByhNvICAA6R9BsAAABuX5WNvGalYgDgtVZLbAEAAG5ZyjYfq0vFAMBrrfabXgAAgFuWsiXpFqViAOC1VktsAQAAbl/tBkcA4BBV1mmoS8UAAAAcpzJdBgA4RGU1JQAAgNuXDL4AgEMknQYAAIDbl7KlbOelYgDg9ZUktgAAAHeizhZGAADoliJWfs0LAABw+ypL2QIARSlLbBelYgAAAI6W3OMIABSlbCklN+YAAADcnmQpWwCgKO0mtqlUDwAAwNFqM2YAgGFpt8eQCuUAAAAcr7KULQBQVEtsAQAA7kSylC0AUFT7HS8AAMCdSNnCdItSMQDwmqoltgAAAHeldpsjADCsyroLdakYAACAMSqTZgCAYZV1lAAAAO5KMgQDAIYl3QUAAIC7kixlCwAMSxJbAACAO1RbyhYAGJAiVpvuwrxUDAAAwEizbN7MrFQMALx2ksQWAADgDqVsFFaXigGA107K+gqrUjEAAAAjpWwpW6MwAGBf0lcAAAC4W7WlbAGAPmk3sU2legAAAEZK2VK2VakYAHi9JL/dBQAAuFvJhiIAwIBaYgsAAHC35panAwD61FlHYVYqBgAAYLzKQAwA6FPrKAAAANytlC1lW5eKAYDXS5UltnWpGAAAgPFStgu0pWwBgB2VX+0CAADcudqeIgBApySxBQAAuHMzK9QBAJ2SxBYAAODOpYiVsRgA0JayXoLlkwAAAO7MdinbVakSAHiNJIktAADAfagsZQsAtKUssfV7XQAAgDuTskXqqlIxAPC6SO7EAQAAuA8pG4655REA+LG0m9imUj0AAABTqU2gAQD2pN0uQiqUAwAAMJkqG47NSsUAwOuiltgCAADch5TtLFKXigGA10Xtl7oAAAD3xM4iAMC+WmILAABwTyp3PQIAe6qsf1CXigEAAJhQ2ozILIwAAPxYpX8AAABwT1K2MMK8VAwAvBaSxBYAAOD+1BZGAABySWILAABwf2bZoGxWKgYAXn0pYuUeHAAAgHuSDMoAgFzSOQAAALhX82xhBADgdZeyxFbnAAAA4O5V2aBsVioGAF5xKduZVGILAABw95L9RQCArbSb2KZSPQAAAJMzkwYA+LEUUUtsAQAA7lVlXAYAbNV6BgAAAPfNwggAwI/VFrkHAAC4VylbGGFeKgYAXnG1xBYAAOC+1W5/BAAaddYtqErFAAAA3IaULYxQlYoBgFdZlSW2dakYAACA25AsjAAANCor3AMAADwAdTafBgB4fSWJLQAAwAMwy0Zns1IxAPDKShJbAACAByBFrCyMcEMppVIJADw2SZ8AAB66k1IBAK+I+WbbsXXE6WDlq6RJXVNK28Y777wTu2lsXzsi1ut1fmW9Xrfb28bHH3/cnDZXlstlAMBDkyIWESkiIl5EnA/VAgD3RWgL8FqYRSwiImIdcR6xHKp9ZJpQdTabxSaTzYPaJj/dBqkff/zx9kr+Jp1pbFtnvLvXaL5AI7KPvrq6CpEuAPcrZYntMuJsqBYAuEdCW4BXX3qFptRs89CnT59u49r1Rp7JbuPRe5THx+1It/mGTZi7XC7FuADcrhQx36xqv36d7rsBgEdIaAvw6nu8CyOklJoptE1E2+SzEbFcLpt8dr1eP96ss4luZ7NZk+Ru02cxLgDTSxJbAHhMhLYAr7hqs8XI+jEsjLDNMZ8+fTqbzZrUsskxH8jk2Vu1/eNHRPMT2Ma4MlwAjpd2E9uziPVANQBw/4S2AK+ylC2M8DyiHqq9H2mzxEEzlzZfNGC5XL7aEe0h9lLs9Xp9eXkZES9evPDDAeAgKaKKuIgIiS0AAMADMI+4jriOWJUq71JKqaqq+Xy+WCyur69Xq9V8Pq+qqplhyoCUUl3X25/bYrGo69rPDYAhddYbSKViAOBhMNMW4JVVPaSFEfIZo9vptJeXl275P1rz80wp5ZNwraIAwI46m2N7770BAACA11yKWG0m1tSl4tuznVS7nVFrWuhtaALcuq5Xq9Vqtarruq7r0osAeNXV2RzbWakYAACA23aPCyNsA8TFYrFd+qD0Iiazt4RCXdcppdKLAHjlVFlXoC4VAwAAcNuq+5hYszep1lqr926bnvsvAvDaqTZdgfu94wYAAIBGutuFEZqs1qTaB247/Xa7fVnpFQA8WjOJLQAAwANzNwsjyGofqTy9NfcW4BWUJLYAAAAPTHXLCyNs10BoJmzKah+vJr3dblxm3VuAV0GS2AIAADww6TYXRkgp5evVlsp5NJr01n9ZgEcvZf2AeakYAACAu3EbCyPszcd0N/0rbDabNbm8OdQAj0+S2AIAADw8s0kXRsiXrJXVvlb2Fr21bALAI5CyxHbC39wCAAAwRppuek0+tdZ0y9fZdtkEE28BHrQksQWAV9BJqQCAR2AeUUVExDridLByQDO79tmzZ8vl8vLycrlcll7xuO3NIc1P29NL1+t1u51ffIXVdf3s2bOIuLy8tOgtwMOSIuabW2zWIzoBAMADI7QFePRmEYtN+yxi2V/ZKaU0m82ePXuWUrq8vHzx4sUrkEU2qWtKadt455139i7u/TE7Y9mtzkg3v9i8ZL1eX11dNVea1PuVyb5TShcXF7PZTHQL8FCk3cT2LGI9UA0APCZCW4DHLUUsIlJERLyIOB+q3Zc2U2sj4vnz5y9evCi94iFKG0+fPt22txFq0/j444/zK7eRSqdMRGwz4mY54L1Id7lcPtIwt/k7c3Fx0fyFuY2fJAAHSRFVxEVESGwB4BUktAV43OpsvHb4PZHpca6EkOezsZkjvM1hr66ubi+THSltJvk2Ge7Tp0+bbx4Ry+Xy448/flwx7ja6Xa/XjzfuB3jcaoktALzKhLYAj1jKdhw5cGGE9Khucm9SzialzVPOiGgi2kcUdLY1AfSjjnG3y92KbgHuVJ0ltueH9QAAAAC4Aylisdksel4qjoiU0nw+X61WDzmrbXLMqqrm8/lisVitVovFYj6fV1WVsgVkX1XNH7+u67quF4vF9fV189+rCXYfrJRS8x+rqqpSLQCj1Zt//lebBW0BAAB4IKpsyJYGKx94XJuntE1M2aS0DzypvAPNPNw8wJ3P5w82w53NZqvVarVaPcyvB/CKqLN//qtSMQAAAHcpbYZs14NDtgcb17an0z7YLPLh2E7CbQLc5of20CYgi24BblGVJbZ1qRgAAIA7tl0YYdFT8DDj2iarbYLaR3Hj/4PV/CS3Ae5D+0nWdS26BZhYlf3Cti4VAwAAcMeqwYURHlpcuzeptln6oPQibqCZgZvPWS694o40mfJisXho04EBHp8ksQUAAHjAUv+orQnvHkhc++An1X4z4u9H/P2Ib0V8K+LXIn4t4j/tOX4t4lulN7x/zV+A+Xz+oKbfim4BxkoSWwB47ZyUCgB4WOabRWzXEaebi01C+uzZs8vLy/tNbFNKs9ns2bNnKaXlcnl1dfXixYvSiyb0dyNOIp5ERMTJ5p+59mPs/gu4969h3z+O+fXr1rPXm8f/ofXUPdj+lYiIy8vLFy9erNfr0otuUV3XFxcXz58/v9+/nwCPT4pYbdrPhbYA8LoQ2gI8JrPNIrbriPOIZUREpJQWi8V6vT4/P7+vYO4+stq/u4ll83C2M5ltB7U3SmyP+LfyerfRTI7673vLb1OT3l5cXKzX6/vN9Lc58vn5+XK5LJUDEJEiFhEpIiJeRJwP1QIAr5IjBqIA3I/UGrillC4uLmaz2fPnz28/JO3QZLVPnz6dzWZNJng7X+PvRDzZjWjzNLbv8cDGXvvwK0V7s3HzJLc5/tH+K27TA0lvH8LvGAAehySxBYDX1xulAgAeim9H/L2IaKbZpvTtb3/7/fffv7q6+uY3v/n9739/+LWTSym9//77L168+NrXvnZ1dfWd73znu9/97nRf41cjfibiZzePb2yOJ5v0dvhxuDHQbp92XikWRE/Zk6zxRsS7EV+NeDfi3YhfjPiFiN8r/GBGePny5XK5fP78+dtvv/3OO+98+OGHJycnKaXp/qsd5OXLl9/97ndPT08/+OCDk5MTU24BuqUssV1GfHOoFgB49ZyUCgB4EFK2ot2LqkrPnjVLENzxXMW9lVKXy+V0oduvttLP6GnsPbYb7evFi52nnVcOeapP30q428b28dOI/65VPKV7X/TWagkAvVKW2K6zNewBgNfGEQNOAO5aiphHzCIipZjP1yndfc61jdiWy2UT15ZeUfQf909ijZtktX3Rbd7ou3jT0wOfOkTf4gmRRbdN49OIT29vLYV82YS7X2fDagkA+9L2X32JLQC8vp6UCgC4f7OIWUpR1+vF4vnV1enp6RSZ6UGaRG+xWCwWi4g4OzsbnRf/JxG/GvF3It7M1j3YLn3QudbBtEeUCg4svtH7tI8nu3/AvT/+dgmFNyLejHgr4jcifj3iH/T+XI+1Xq/ruj45Obm8vLy4uFitVne53O16vT49Pb26urrjzwV4oNJuYns2VAsAvMJOSgUA3LMUsZrN4uIirq7O6/pFqX4q+e3zoydg/ketjPJkN/fca3Q+Hni6bXwh4iTiixF/HhERb0e8HRERP+uWd9MAACAASURBVJG98O3syzTXrzdP/enmtGlv3/lfRkTEn0ZcR/xpxJsRJxF/FMdrr5kQPRNv88friB/dxhIK293t7nizMqslAESKqCIuImKT2K4HqgGAV9lJAPCApZTmVTV79izOz9fL5WmpfhLb2G7cSgh/axNo5lltdLXjsMfO0y9ERMRbEV+JeDviJyJik892TtSNrtMDH9uNvby1SXJ/EPEy4gcR1xE/jPhhxP8bQzpD273rfUvfbo/fiUlt10xo8vo7W7hgNpstFovnz5/fZV4M8CAkiS0A8JdOAoCHajabzS8u0tVV1PU64jxiWXrJSM1Ux5TSiFmWf2uz1sFAYLrXKD5uG1+M+ELEn0WkiK9E/EQ2VfaQtRSiq1389L3vsHda1MzV/UHEH0T8IOIHEW9E/Ivs2QGdue223Rng/nZM516Wu00pzefzdB8LNwPcp1piCwD8pQMHnADcqR+HZc+exfl5LJcR8SLivPCiUbZx7Yhs7j8sbSx206j08xFfjPiziHci3o5IESetRW+3b3jI2gt97eg/jf7Tdrvv4l4y28S4f5IluX8c3dovbLc7o9tPp517W9f1RAtlHMqUW+D1UmeJ7fnt/5IWAHjwOoeaANyn2Wx2cXFxdXUVdb0dwZ0Ov2aE0XHt3x6c5RqDCWn78QsRT7KUdvvO7SVx+1Zd6PsCfd+h+JW2j32neWOvvXW9e709VfZPIv4g4k8iPon4w54ZuH0Z7sDE2ynT29lsNp/P466i22bKbUScn5/f2foMAPegltgCAPs6B5YA3I98L6b1crnaXD+7nRHcuLj2P+jZW6wvKo2u04j4fMQXIj4f8dMRKeJk87ZPNhNp89y287MGPn2gUfxi7ccDG+3Tvafagez1bgLbTML9/YiXEf9X/wvz074Ad3v8KOIfxhS20e3dLF9QVdV8PjflFnhl1VliexlRD9UCAK+PvWEkAPdmO8G2CacWEbOIiFhGnA287Cgj4tqzway2Mx6N1uNnI96IeDvipyN+OlsD90nWOBn8lCe7H7HXbl9pf6vOL9Z5MfpPOxudp31PdQavkcW4TYb7P0f86W6A267vbOylt59OtejtdsGEO4hut1Nuz87OSrUAj0oVMY8IiS0AsG9gSAnAHckn2Db5V5UN4s4m3Yzk1uLa6Gnkp83SBz8V8dXNxfwN88Q2No29T9k+1fnRfReHv1v0PNVX035quLHnpGumbVPcF8Jujz+J+OOI34/438bNur2eatmEJrpdr9d3sIJB81l3kBED3JFq8499RDyX2AIAO/qGlADckZTSYrG4vLzc3v2dIhYRKSImHcQ10xVvHtf+zc1M2HaEGgcEo5+JeDPiX8km1Z5sHk9aU2tPWu3hIwYv9jUOOe187DvtbAy0D5enrtEKcP/ZZvptX4DbTm/3AtxpJt7WdX1xcbFcLm87um3+DjcZcakW4GGbRSw27efT/WMPALwqjhtDAjCNqqouLi7yxDYi5hFVREy3/9h2Ju/eB5U8La2E0E48t43PRXwacRrxixGRZbV9qx88aTXy98yP9sIIe6d9X2mg0X7MTztrhhsD7b4rbZ1R7F7qGhF/HPHPIv484g9ar2qHtu13aI7fitGa6PYOFp9tfvdgqQTgEUsRq037ucQWAOhwyKARgOltg9Szs7N8cmLKxnFno/cfGxfXnvQkttHVjs3jFyJ+KuLnsvm5e9Np2/ns4VNrO79G9FzvrGl/4fbpwGPfaWdjr90+HX6qM37NT7ePn27aH94wvc0bn45fM+HYv2831vy2w1IJwKOUJLYAQNnA6BGA29JeEuHH1yPmEbOIiHgRcd564Y00wdZyuXz+/PlhN63/uxFvHjDptd2OiC9EfDni3YgvRTzp31vspHW6dwwEuH3fYeC02Og8HXjsOx1udJ4OXOx03WpEK3htjmbu7ccRP+yq73vcHmPXTNguxHGroWpKabVa3cHEXoAppWwJpBej/6UHAF5dh48VAZjGbDabz+edUxGrifYfu3lq9iubuPaQzDRvfD7iyxH/RsRP9UytPSSrLc60jRte6fyqnY0jHg88zRt77fbpTeV56/ZKHuB+uklv/2nEP999VbvRzm0niG6rqprP57caqjZ/zyPCUgnA45AktgDAoZ6UCgCYTEqpruv5fH52dtZOslLExaZ9eWxi23zEYrG4uro6PT09ILH9lYh/P+KtbG5s5xG7jc9FfD7iaxF/O+IbEe9EvBnxZsQbm6M92badCLcvtr9AZB+999q+rzpw7P0pjng88HSvkX/08NH3s+osyzeIe5L98N+IeDPirYifjPhWxH8b8V9E/Hzpo/c+/Y2IZxG/Hsd68eLF6elpRKxWq1vKbdfr9dnZ2dXV1Wq1SimVygHuVZLYAgA3cFIqAGAazazAq6urvgBrPm7/sZsvJ/qNbDGEzogwutqfi/hyxC9HnGThbJ73nXQ97iWDnVeidb3zm/RdjFIjShfbBQM1faedjeLFztNO+ezavYt702/zubfbibf/U8Q64v9pVbYfJ5t1e/N53zc2m80Wi8XZ2dktvT/AWClLbNdH/TMPALxm3igVADCBYmKbIl5s2t+8+TTbZpHcr3zlK9/85jc//PDDUvl7ESlbD+HAxPbtiL8a8Tc2KyG8mc30fCNr7x35e+5d6fvoI47oaRx4OvCGxafaHz38JrH7kuh5avgYKHvS3/5ixL8d8Y2In434YcS/3H239mN+fDXiFyN+N27u5cuXl5eXn3zyyQcffHBycnIbuep6vb68vHz//fdPD5pdDnC3ksQWALixk1IBAGPVdf3s2bOzs7OB3cAWEbOIuPkdkzecYPv1A9auzYO8k4jPRpxE/EzEX9u8dm9q7cC82ietRtOO7PSQo10fN28ccnqjx77TzsZA+/Are/Zm3bZP+ybPbife/pPWirfFWbc/ividOMr27+rtTbldLBZhiVvgQUnZHqNriS0AcKjigBCA421TquHEtjp2/7Fmgu1yuXz+/PnA+2/8SitjzY9otT8f8aWIf2d3mdqTnqz2kLj2uCN6TgcaA892ng5c3D4ecnG4MdDuuzJ8vTEQ3RYT2OuIP4r4pxH/6+BL9l74acSnR0e3AxvxTaL5Hcnp6WmpEOD2pd3E9uwm/8YDAK+3J6UCAI7UJLYRcXp6OpCopqP2H9tuOHZ5eXl+fl5KbL8R8e/tLmJw0n9ExOcjfj7ib0b80u4OY09am189ab1hfjoysW20T9uNk1Zl3sjr964PX9wraJf1ne412hf3rvddya9v7T3bF5ef7P4HerL5z5dvVvZGxL8e8WsRFxFfjfhy6Z23b/JmxG9E/Oet71a2XC5PT08jYrVazWazUvmN1XV9fn5+S28OcAMp4kJiCwAcyZq2ALeimQP70UcfFacTfjvi70VExDrim8OlG82bv3z58vz8vLSC7XsR77Ty1s6wtTk+F/GzEb8Y8ZXWwrXb+s6XP8keT1rP3vSIntPouthZUGxE6WLf48Bp+/pezd7Fk912Z0H72Gpf7yzufKodyP5sxHsR/2rE/x7x57sv3D7ufe6TiHePW+h2uVx+9NFHi8XiNla5Xa/XzZtfXV2Vfp8BcDtSRBXx7YiQ2AIAx8jHYABMo7jt2F9WRqw27bOIZX9l4yYr2P7yYcvXxqbx2Yh/K+Kv9uwqdtLV2Iv/Bj7o8AA3pmj3NQ45LT4eeDrc2Gu3Twcu9l3PF0Y4yU7b6ycMrHvQPP6TiP8l4oe7b9Ku3x5HLnTb/C8lpTS8fshxUkqr1ers7GzyUBigrN7cR7OW2AIAxzDTFmBis9nsgw8++O53v/ubv/mbpdr4ICJFRMQy4vlgZcRNJ9i2J8m2p8c2x+cifibiF3Zn13ZGt/nLn2SPeaPvGCiI/tMDn+psR9fp3vWBi52Pw6/tvL73VPti52l+ce96508yWk9FT7v9qvydm3dIEe9FvIz4/yL+LKvs/JLNC9+N+LmI34ubePny5eXl5SeffHIbU26bN3///fdPTk6+//3vl8oBplNnie15hP8HAgBu7iQAmE6zCdKB0wZnEYuI2IzplkO1P37nAybYvtcfzrajus9FnO7Orm22Gss3HDtptU+6stpiaFs84qjTGLy41+g87bvYrhkuOOR68eLhV7an113P5k91Xux8bBqf7m449kHE7/ZU7s23bep/O26umXIbEWdnZ6Xam2neeb1en5+fl2oBplDvJrbLoVoAgD6dYzwAjnGjxDZlG0q/iBjIk5olEZ4+fVracOyXW/uMDcy7zOPaJ/3rIbQf44Cg9kYBbgyeDhTE4MW+RufpgY+HXLxpY6CdX2lfb9fs2Uts2wFunsNGlr3m7U8Ho9u8cq/+mNUSmv8FnZ+fTzvlNiIWi0XcQiIMsK+W2AIA0xgeBAJwkCZXfeeddw6fzTfLptme9pcdvDzuNyJOdgPW9hERJxGfi/hixLu7s2v3stq9CbbRmmm7fbbzg4af2n6TG12JUvvwxsjH4YvF630X82f7ru/VHOG61Ygsq40sfs3bzdzbHx0W3W6L/yLiH8UNNWuAHDCj/Ma2i+eWCgGOVWeJ7WVEPVQLADDsSakAgIImZoqIwxPbtElsY3Ap27quDwiwvh7xK7vZ60nP8dmItyPei/jrEZ+JeCvirYg3N8cb2YK2J11TbveOJ608MT/2tBPJziudb9h+yV5772Le2KvJnRz8uKfz4oHPNtrfc+9P0Xd0Gn7J3rEXxz/ZbW+PN3afav5uvBXxrYj/MuIX+t98+9o3Iz4T8Q96vnOv9Xp9dnb29OnT5n9TEzo/P7+6ulqtVqVCgKNUElsAYEo2IgMYpZkJ+73vfe9GEwPfj/haRGzunmxLKX37299uFlsYvFX8G11LInRGt29GvBtxGvFWz25jezldfmUv79sL6QYK2kccezG62gMXO08HLhYfD7nYd9pXcLJ7Pb94svtsXtMcTwZPDzz2vkn7eNJ69ksRPxfx8xG/n+1RFlljr/7diI/iJpoNxE5PT+fz+UcffXTIYiMHWi6Xn3zyyQcffPC9733v5cuXpXKAg1UR8037uxJbAGAC+RALgJs5eO2CHSliO9nvrGu9u8PuEP96K1Tti+Q+G/FvRvxkxJubKZAnrYg2D+k6o7rO40n2KXsX977DyQEXO69Hqd2+GF2nAxePeBy+eNPivoLOZzsLtgae2soXRti72F7xYNvYrntwnS1c+2HER7uVeX1e/KMjVrmdzWaLxaL0e4sbm81m8/n89PS0VAhwmCpLbJ9LbAGAaRwyugOgw3GJbUQsImYR0bP/WLMXUymxfW+ziMHAERGfjfhSxFc3U2ufZPNqT1pzcg+fqhmlghu9pPOpuEl7r3HI6YSPfaeHvGTb7rserRfuPdtu39R1qxFZ5Bqtxqe7ue2/iFhG/F72DgP1vxU3dPT/yobJbYHJpOw3sc8ltgDAZMYM8wBeX0dnSdVmOs464ixinT3V7GbWLInQf0v417M1Z0+yI3ZP34r4UsTXsjUQ8t3GtqHtyQ1D2+j6rIHKGz0VB59GT+OQ0/ZjsWDv8ZCLnTV7Tw0/u3cxf6p9vV1wuDyr3V653m0PTKFtZtH+ccRvRfzf2Rte99QfM+W2Wd922j3E5LbABJLEFgC4LU9KBQDsOzqxTZtNSiJi2Upsm2Tq9PS0P7F9bzNhdjhg/VzEVyP++marsbd2V7DtzHDbC9ruJbz50Xl9z0B6OPCS/GL7dEIn2eNNdb628zT/k24L8sbesyetI6980nO9XX8j7Tc5af0FeGO3/cZm7nZzvBXxkxH/dcTXBt9n+6rfKH2lfWdnZ80eYrPZrFR7qOVyeX5+bl8y4HhJYgsA3KLjBngAr6+jE9vYnWZ7ml0/4D1/ubXh2DakyxufjfjiZoJtvh7CdnLu9uVPsse9lG3g/Qeu7xUMvKR9DFdGVzu6TvuuFy8Wn4pjn9oriMO+Z/6S/Er79LbtTbmN1vzZvSm3fxjxYcT/eUD9X0T8w+7P7HEbS9yabwscKUUsIlJE9Kx2BAAwzh2P/QAetyZdff78+RGxUcpm5JxHvNi0q6q6uLgYXBLhvZ4Zr3upXzPB9q+0lq/Nj6a4L7EdeP/2aew2olXQ+Q6HXxz4rL5Pv9HpwMXi48DFA4v7vl67Pr9yv/IQNjbxa+yuWvujiL+I+CDio1ZxHtpeb4p/u+Nz+jX/A7y8vHzx4kWp9lByW+DGksQWALh1D2EQCPA4jElsI2IeUUXE7jTbZtuxUmK7t4htbBrb9mc2G469uVkJ4aRrEduTnvC3fSUOO42ex5OugvbRvj78QQON4dO96wMXb/TYvtj57N5Th7xke7rXfiA6p9DmUeyPIv4o4n/cTLltF19nxb819FFdFovFer0+Pz8vFR5KbgvcQJLYAgB34QEOBQEeopGJbcqm2Z5FLOMvtx3rj4r+Rs8KtrHb+FzEu5sJtu3FavNJtQMTbJ/svvNJ6TQOeGy/cO/6gZ9ySOPA652nIx9j8575afvZvkbn4/aFD1xnDvtpFt3+44jf3a2MrHJbfzn0IV0m35psuwdgqRB4vaUssV3vLnUEADCpJ6UCAMYmtrFZyjYilpvE9uLiIiJOT/sGfF+PeCvbH6zz+GzET0S8F/HlA3Yb21sStx3sto+9pwa+SeexdZI18ut7z3aeHqjvVYe/+cng44DOP1T72b5G5w9t+D0fjpPdv135BmXNDnj/WcR/FfFXNn+ivb9O25dUEb9e+qwdzeT0JrqdxIsXLy4vLyd8Q+AVlCS2AMDdEdoCFKSUFovFmMR2FjGLiIh1xPPNG3788cf92469t5lju8222oHpZyO+GvG1iM9kie2bWRC2fXme/Obv1n7nzhi3/enRehw4Iqtst/uuHO2ItzrkJX3f+aT11OE/mb2ayE4fl+Y75yHsG1lu+9ci/puId1t/9vzvYVP/G6UP2nF+fn51dbVarWIicltgSIqYR6SIkNgCAHfhjVIBwGutmWP7ne985+jENkW8vxnlfRjxvZTm8/n3vve9nsT2lyLe2Z0h2xn2fSXilyI+35pgm0e0T3bfZyCr7TyKBYeXRasxfBr9F9s1xUbn6cDFwx/z073r+RH9je1p7LYfo/YffHs8ifi5iH8t4p9nxXuvatpf3exgdpDlcvnJJ5988MEHH330Uf+q0Dfw/e9///T09OLi4vLyslQLvE5SxDxiFhER64iziJdD5QAA4z3q8SHA7WoS26urq/4psWXVZm2EdcTzqrq4uDg/P++JgL++2UOsnYTGppHvObYX1O7Fsnvvs9eO7LTzg/ZOo+dx4KkYfFX74+KAiwM17ac6rxcvDj8eUtDX7mxE9vJXyd6qtc0qt38Y8Y8j/o9NQd+SuH8R8TuFt88024j1/8/qxiZfMBd43NL/z97dxciyned9f2pmn70pHpI6EknJpEhNjRNEhiiJn4ekIkDTYylOgAD68E0kS/L0SMpdBEn5uNX0XDsJQxhIgFjWzNC+SAwFDBkHVnKRmTGQS4sUbCRQYmD3OBEpkLR8JFIKLfHsykWdqrNqveurq3t6unv+PxQKa616q7q6p3tjz7PXXm0S23miGgAAYDV277dEAFiNlSS2tbP8nWaz+clJuxZnqPYTyRVsJVXSM+kD0itdYrvX5bZV1666djCudQcVeSDvqMw+fdTbJ7r2NhQfTByK3U+6mxiM7b2Gd6jw3mIX2VVedNt+O9l/302njX01WSO9Ln0mdeGhyWRyfX19fHy8wtx2yc8+gB1RS1PpTBKJLQAAWKu9XAEAPEbtF4Utn9pMpLptzWbzk5PDw8NIYptexFZSJX279AnpO7ovetqPR7d7ka1ytsShwk2LHNWw0XPbVmNG0vXlFrpOZRruIft8FRq0r0/wgjumct6f+91b92eknwm9Ju4bcl86yV38TTc3N4eHhxcXF5PJJFdb5Pj4+OjoaFVXA7CtahJbAADwYFjTFgACfu3Xfu2VV1759V//9VxhSi298ZVGXWIbKfykE7n2+amcMOup9Ir0QenpMLHt4y0v7e0vUh7IBss07BZeSpGu21CuwF6qpExju+l9rL4ybdv1BvvT3cZus6/GnvRd0gek/1P6c/M6uC/XB6UvBi4Z8tprr33uc5/71Kc+dXd3t5L1bW9vb7/whS/c3t6u5GoAttKvkdgCAIAH80h+YwSABcxms4ODg9PT01xhxoU0VTax/eFItKqu8VT6/m5JBHdqrZvPuo0q0ugvmNg0rFRyPLtPN1T8uLHBWGNEN7aPVdq7sl1FBuVc6rHxlrj9lvRfS/9vdyi2xO1l+qKuuq6fP3++qnUSVr7qAoBtMiOxBQAAD+lx/tIIAFGz2ewklbGWqqXnkmYznZwcHx7eBEpedWbLVsNNXeNb0rET1+4P41pvgm3Vdb1GYlOoHWsEu8F9uuENZh+o8PbS9xm81eBgfygxXoVG7Il2UE7j0epXrX0h/UW3xG0wtO2j24vcNd+08tz24uLi8PAwVwhgt8ycxPZUuknVAgAA3Ie9XAEAPCLT6XQlia3akGk208nJTTix/Xg8se23V6Rj6aVhaLs3jG73hxfxJt5mt0RenBhJbEo2bHsDVZEb856mIl2vbWvQvj/bt/RT6W9IPzd8effMdpq75pvm8/nh4eH19fVKVqS9ubk5Pz+/vr7OFQLYITMSWwAA8PD47REA3lDXdftfoZdfwnIiXc9mOjqaHx+Hft37hLMQrd0kPZXeJv2g9JIzwbZd99auYNvnXF6jcJOzdxuxQ9l9sFEyWJmuN17YKOmmK4Mj9pbSXa8tp4FW46yT8GXpH0h/0H37XHC+7bekz2Qu2VntfNuLi4u6ro+Pj3OFALbfjMQWAABsBGbaAoCkVSa2ks5mMx0c6Pj4Zkxi+0w6lH6o+9oxd1WE/sQlJ9i6D1d4KFHZH5XT1bBRhRr2FO/EhTS5gpj+xOCdVMNx+6yDXa+tsU9qt1Xdu/qJ9D3SfyC9b/iSuls7Ofckd803rHa+bbvC9Ww2yxUC2HIzJ7G9IrEFAAAPidAWAFTX9cXFxenp6UoS29lsNjk40OnpXDr3D35ymNjajPWZ9AHpvc4c2ydORLvnRLfefNu90AX3QpsNFuUMpjdb6V1EocsGG7HBVfEy3ESk6z66F+C6d1WZwWDXtnUPz25nVM6b/L3SfyS9rxt3t/7d+0Sapq/YW21ue3x8fHR0NJ1Oc4UAttZsmNjOUrUAAAD3jdAWwGPXJra3t7cr+W/Us9ns7OBAp6eSbvzvmv6kmR6rYTL1VPp+6dvNIrZ7Jrftr1CZrhtyVWZTaDCxBevV7TWsWajhDcppeG0lI9eFJth6xd6jaHg/7khlbs+789izQ4k2jX1Jekn6Fek9w5e93/rPwjR3wTesNrc9PT29uLhYyaUAbJxpl9iKxBYAAGwEfp8E8NjNZrODg4P2vz8vyU1s59Lh4KCb2PZxqpxAal/64S6ufTIMavedxCqY2LoXDGa1/SbTCA56jcQ+0UgUZNvB/UKNYNcW20N2Cx5SvOs+ipwG0twlbv876QvOgrYy69u+Ll2mL9db4fq2k8nk4uLi8PAwVwhgq0zb7w+VJJ2T2AIAgI2wlysAgF02nU5PTk5WltienMy7S90MDmYT23dEEtv9eGIbvOAyiW2iPjhur+bVBwuCxV67LxuhcFUEe/Hg07SH7KDbDbZRqOqWSnhJ+lnpr0XeIdWI+bbHx8cXFxda2s3NzdXV1fX1da4QwPaYktgCAIBNxC+TAB6vFX752HQ6PTs7Oz88bH/vmw+m2aYT26fSW6Uf7Bax9RLb/iyb2PbtqmyTacTGvUZwbxux8XQj0e675TeZvnm34bVjI+XFtiungYU03Xzb35P+fmSybbt9q3y+7QonyV5fX9/e3vK9ZMAuqKXnXfucxBYAAGwQZtoCeKRW+OVjk8nk7Ozs9PjYnanTySa271o6se2vlthiNYlzFd+73SrSzTYSba++18QbnsQEW/eCwaNVqMyOp7tKPhDSKmlfekn6kPQL5s1TOZ+CJ9Jp5mKdFU6SPT4+Pjk5YXFbYOvVJLYAAGBzEdoCeIxW+OVj7aWOj4/rLvydvzn3z/vmMS97eiZ9r/Rvdomtm9XuD8OpdGKbnWyrSDtYo8gpSpYFu7FGtt13e3YkqGRthH6wCm2u2CFvxHaxvKr7Z4wPSf9x5Ie1131YTnNXe0M7N3Yl6yS0X0qWqwKwwWoSWwAAsNEIbQE8RtPpdD6fL/+/m/vpuprPzTTbT5qMtdV2n0nvl97bLWK7P8xt+0Aqltj2yeBCiW3skG0Ex/u9zGCs6zUK233XHUmIzavtlV+qGm7BQ96I2w22MVr7ofge6T8dvpfcbbHc9vj4uK7r5T/7K5y3C+AB1CS2AABg0xHaAnh0VvXlY21ie35+fnNzc9YNzt+YZmvn2Mppe4ltP8E2ndgG4yo76G6Kd71D7oiGe5lBW+MNxhqF7b4r09XYtRHSE2zto9hiO+h2+7aGxVhSO9/2PcPcVsMfzcK57dHR0fKLG7TJ7/L5L4B1q6X+H1wuSWwBAMCG4hdLAI/Lqr58rF9gYTab1c58nWPpRp9wVqS1W5vYvsdZFcFdGMGLa+3eDaqC1+83xbvBtuL7ksFY120Utm3XG0zcuffs7NHyLXhK8OJuV04Dq/JC+pb0Zek/lxT5XrIX0uvOd8Cn1HX9/Pnz4+Pj5RdIef78+enp6fLXAbAmtXQt1ZKky/J/7gEAAFg3ZtoCeERW9eVjbmIryZ1mm0tsn0rfV5zYttuIxLbljaTbiu9jhxLdWCPbtt1+xBuMzbeNdauCzRM8VHK3WLk96SXpvdJ/Jql7kb0fX/s5miau0pvP58fHxxcXF8vPt2VxW2Cb1CS2AABga/C7JYBH5Pr6uk9al+H+t+jamWZb6xN3gdS1355Kf0X69uE6tntOyLs/PNebb+vlU/b6VSTMUq6t+D5xtxosCAAAIABJREFUKFiQbiTa2a4dtDfvPUHbXWiz5yYuruEe96Hp5tv+ra6r0Hzb30xdwzGZTC4uLg4PD3OFGbPZ7Ojo6Pj4OFcI4EHVJLYAAGCbMNMWwGMxnU61igUoZ7PZwcFBf51+mu2JPp5LbL9PekcX13qza6v4XNoVJrbBccX3iUPBK2QbwXa22494gwotXxu8VHYLit2G2/XasUthJSrpifRe6aTryvwo96RfTl3DcXNzc35+vvyXibG4LbAFaiexnZPYAgCALcCvlwAehVUtZTudTs/Ozg4PD9tu3U2z/Q29+hk9uQvHr5KeSf+W9EpoVQTvm8eqYcNeLTgSTK8U72rYCO5tTaLMdt1GbDBWkxixR9PPdNxmr5B+CDkN3LdGel36ovSZbnatzHzb16W/m7lMZ1UT8JumWckiuQBWrx4mtoepWgAAgA3BTFsAu69dgvb8/HzJxLau67OzM/c/QbfTbH9Dr95pP5nYfp/0iplju+/Esna+7Z5zBYWCxUSGaEcUaiu5tzW2LNb1GnbQjruHgiPueOxmbE16i8nej+1ibSrpifQh6W/Gf7L70i/lrvOG4+Pjo6Oj5Re3PT4+Pjs7E4BNU5PYAgCArURoC2D3TafT+Xx+eXmZK0xp5+q6yW8tTaXf0Mek/dvA7NfWM+l9ZlWEysyrdU8vnFrrPkp2xLa1+N4OBo/GGtl2bKQftONuwQjVcAseTYzE2liDNrf9heG7sd3az8sCue3p6en19XVd17nClHaO7fIzdgGsUi1dSLUkElsAALBl+CUTwI5b1XcNXVxc3N3duYnMtfS/6SPS0zvtfSacqz6RXpZ+QHop9M1j3laF5ttW8a7Mw6VHFGkU7ksGg43Ctu3GBmMj1Yq24KVU0MWatd9L9gXp78e/lOx16bcyl5EkTSYTbx79OCySAGyQWrqQJpKkuXQszRPVAAAAm4WZtgB2Wbugwenpaa4ww37RUP3Gr4EvSXu30fjvrdIHIt885sW1VXI6rbe1vK5CZbat4SmeKrIvGYw1sm3bTQ8GR6qxm1XyuOku1qOSnkgflj4ceRu0H7rTzGUkrW6e7OnpKYskABuhJrEFAADbjdAWwC47Ozu7vb1dctbbZDI5OTnxkt8L6Tf0CWnvTtVdOG99m5PYul84tj8MlapQt2Wv6W2xMm9cw0ZiP3ow3Ui33e6IQYXGy1XFD+eNBM/CmlXSE+nnpfc7bwZ325OeZK7RWcnitu0yLMuHvwCWUpPYAgCArbefKwCAbTWdTqfT6U//9E/nClPquv7sZz97enrqfolZLb1DH29nzn5e1R/72aukfelD3aoIbm4bnGbb72MZrg2FZUaC4zLt9N4OllRmG8G2hu1ggTtuy+zmHQqG6YnTY0dV0MVDaX/Qr0r/h/T1bsQr+Ij0u4FTjdvb2y984Qu3t7fLfGnh7e3tZz/72SUvAmC8WppKU0kktgAAYIsx0xbAblrJwgh1XV9cXJyfn3tzdX9Ur7YZ652qu0F416qkj3Vx7ZNhVlt1GVMsnw1uCj2ErZEZ8Q5l9+lu8FBhw7bdbnCkH7TPzm0ntqB0Qew2yrtYv0p6Sfp16Xvib49fzlxDkjSfz4+Pj5dc32A+n7NIAvBgamkqtZ+/OYktAADYYoS2AHZQG7ZeXV0tuTBCu7pC+/+de6/oYwdv5LBVt5ptq20/kz4Rimuz02m963hb7FAvVqzhSHbvStTYa8YOeUc1bNujdrCKXKHkKaQFHzo4bm9g0cfCvaqkJ9LPOT+aytnaz90vZa4hqVvc9vr6OleYwiIJwMOoSWwBAMDuILQFsIPaVSmXTEym02ld1/YiP9EltsNptu32TPqgtB9JbKth202UquLNEzzqteV0XdWovW0kHtdtlHS9QfuUq4ItWJwQK7CDwZvBhqik90p/0/m5uG+APWlf+sXMNSRJx8fH6v4YGa2dbLvkRQAsZkpiCwAAdge/bQLYNXVdX19fHx8fL7OgZOwir+jjv9KFtp/R3jC0fUn6Pukd0kvdCrZPuqhob7hVw0a/r4ZtbxJuldwU6irUTQwm9oVdrx0cLByJHS3cJ7ZEQfCQHdSwjc3xQvpd6e9JjdRI6hqN9EJ6If2dzAUkSXVdP3/+/PDwcJk/RqbT6cnJSRsBA7h3MyexPZVuUrUAAACbj5m2AHZNuwrtMlFLv5StucjHf7QLUu9U3UlOZrcnvU96exfUtlltlUtj+4YiWWHPHvVqvJHK2XvdxGBsX9hV6B5s2ysLjnhH+4LsFjzXYx89fSh2M9hAe9KHpQ8P3w/t1n4w/8PMBSR169JeXFzkClPaRRKm02mmDsDyZiS2AABg1xDaAtgp7ZoG3iq0i5pOp/P53Fzk1Ve098FuhuytHwl9m/RdzqoI+05I5Dbc/CgWO6Y3jz3kNbxTvMEque8Fz/KOeuOxtu3KFNtuP5jde/UJiZrgHaZvG5tjX/o56X2SQm+MvcIvJVtJ5Lp88gsgb0ZiCwAAdhC/cALYHf0M2WW+f2wymVxcXBweHg6HPyo9+YkutL1T9Rk/H3xVesn5/rE+ut0bbtWw3adIVWikDwqr5KZQV6FuYrBwbxt2PNG2XZWdOOK2+7P6zY5kDwXHNWxjM/2B9N9IfyLJWSGhXyfhW9JvZS6g1SyS0Ia2p6enuUIAo8xIbAEAwG5ipi2A3XF2djafz5dJbOu6Pjs7C8UrT7pptpWk2zczu0p6Jr06zGq9WNZrB8PBRBSYqPcK+q4i3cRget+rTMPy7i12yI4E2+6zW2jfn9VL33PwaHA8cR1sjvdKf928H9ptT3qSOVvSihZJOD09nU6nfCMZcC9mJLYAAGBnEdoC2BF1XU8mkyWns52dnd3e3prY9+NS9aNd4uOsZltJT6V/o5tUaxNbb0ZtHxgFg6SSzWXHvYatj9Wk97FuuuG1g91gsX1G3r58cy9rL27FDtnx9HWwCSrpQ9JH4u+cosVt20USloxcT09Pz87OclUAFjRzEtsrElsAALBrCG0B7IJ+YYRcYUo7G242mw2HPybtvaK9D3ZZz60qJ4r9S92XjwUTWy89DEaKwZEYW9+Pew236x0Ndu2+F+vGHjRo0Wv27cpsKt57Z/XsSPZQ4hRsrD3p56X3h94S7ee0aHHb09PT6+vruq5zhVErSX4BDMyGie0sVQsAALCNCG0B7II2DVnm+8ciCyN8pP1KsW6arV5TdfdmGvsW6bsjC9dW8bZCeaKXLVbJreddQU7DdqthN6vkshpeqqRtD3l36I7b2150s+d6DxEUOxSrx8bal35Neofzs3PfHnvSL6bOliTN5/Pz8/MlF0lY/goA3jQjsQUAALuP0BbA1mvz1iWn2V5cXFxdXZmFEZ5I1Suqumm2e59/M+75lvSB+FK27jTbWJIYG8mylZWzj3WDxem9d4rt2ntItz2x67iviTtScs+JE+UcinW9Q/ZocBCb7In01yWF3gl70n74pKF2Av4yU2Vvbm7m8/l0Os0VAsiZkdgCAIBHgd88AWy95b+cfTqdnpycHB8fD4c/Jj2R9j6o6ie0J+29pupvv5HGPpV+UNqXXnJy2z66dTPcKhLm2kb5plBXyW66zNunB9MNr53oJs5N32f65rNPpBo23C04mCjGtmikvyf9E6npuv32Qnpd+s3MBaS6rp8/f354eDifz3O1Ye0Vqoo3D7CEqdTPWT8nsQUAALuM3xwAbLfJZHJxcXF4eJgrjKrr+vr6+vj4eJjFfER6Sdp7RXu/oqpNXT+vvd9TJe1L75HeE0ps7VIJbm7b532xANeNCPfMSDA3dBsqG19oH+u6jcK2yi6y2vuPPRe34W2F49gur0v/lfQvTG77QnohfUv6rcwFpNlsdnR0ZP51ZwHL/wsT8KhNSWwBAMAjspcrAIDNFVmIdjHtN5iZ2XNP2mzuQFUbuR7oD3/vjbTuibOUbVU8Z1bxEY8dtCf2415ZsBHspve9dNcOjrg9t+09Tdv1BhObzN7tug3PouPYCvvSr3Yf0lb/VtkrXyRhPp8vs0jC6elp+4WHuUIAxpTEFgAAPC6EtgC22GQymc/nZiHaBUyn07quzTeYfaxNc17pvoLsVX35b+t7pEp6Jn3/cGptNZxIuxdPbxUZL9lc7kjl7IONYDd7KHZZr6Bk0DsUvGb/cG4j2HUH0/tgsTsop+GpIodi9dgK+9LPSzLvgUrak345ep7j6upqye8TOz09PTs7y1UBGJqS2AIAgEeH0BbAtmqn2V5dXeUKo+q6Pjk5MRN1P9qvcnCgvVe0J+19RdXvqZKeSu8KLWLrTbZVJGS03XLZwNGOV87e63qHEuMyV1DoRCs4nriCfWVi3X4wsQUrY6fHBA8l6rHhKunD0vd2bW/bk34xc4Hu+8Ta7yUbp/0nIibbAguYktgCAIDHiNAWwLY6Ozu7ublZcpptaKJuO3m2ekV7H9SeVL2qL31G7+uSne/q4tpq1PIIGnYLN081bHjdRIEdDBa4ZWluTawt8yhepfs0vYbbTQzafexcr9IdDwoeStRjw+1Jv2p++lX3Ty9PUqd22qmydV3nCqOurq6YbAuUmpDYAgCAR4rQFsBWqut6Mpmcn5/nCqMi02w/1ic4367qQNWr+vJXVP1jVdJbpb9iZte6DTcWdENDO5IOCq3KnOKdXsUbbjf9oMGa7JWzvMt6zyL4irmN4NHyvb2sdx05h4Ji49hST6RfkGR+su17IL9Iwnw+Pz8/XyZ1ZbItUKqWrrv2OYktAAB4XAhtAWyldpqt+fawBbTfPzYc+6gbwh51ax18Xu+Tnkp/yVkYwc1qlZtja2NEhY4mzu15XXck1ghewe49wUGPWxNrx0ZknrtC3Sp01DvkbbYy/RD93m14YuPYUssukjCbzSaTyTKpK5Ntgbxaet61z0lsAQDAo0NoC2D7tNNszSTZBUynU3Xz3Rz9FNq9gzem2X7pK6r+sfakt0hvDy2MIJPYut2WDYa8EDCdCdqrlTfcbvZRbE32ylnek/VeE9sIjitekyiwZemuhg1PbBzbaE/6teEPvd/2pP3UqR0m2wL3qyaxBQAAjx2hLYDtE5oku4D2G8zi02z32mm2r+pLkj6v97+mP5cOpCeRhRFim5LJYBXqBi/SqxZveFewhxIF5dz6WNvtui+LbcS6drBkv1BXw3FPcBBbal/69yQNf6ztj35P+qXwSY7lU1cm2wJRNYktAAAAoS2AbVPXdV3XZpLsAkLfYPZhd9GDV1QddEHe7+mp9NEusd0fZrUK5baKtL2gUKGuVQ1rFmq4XXdvBY/GLpgYtAW2zL4U1bDYG7dHFSpI15R307IF2CL/bnyRhNLJthcXFxrr8vKy/U8DuULgkalJbAEAACRCWwBbZ8lptu1KlGZpBW+Z2upWlaR/Kt3pLV2I4y2MUIUS235rBfNBK3GFYHFsxDuUuEjCQg/tDQafeHCkckaCr5Id7we9V8keCp5V3tWwgV1VSX9j+BN33xL5byRrl9WezWa5wqgl11gAdlBNYgsAAPAGfikFsE0mk8nFxcXh4WGuMKxdGOHq6mo4zfYj0pPuS8beXADhFe1Jb3tNB9LT7mj/RWRtgOvWB5dN8LLd9HIKsU1LNILd4D7WTTdi7So07t5P9laD91nyRILPIt0NFlSm7Q5iZ/yO9I8kSY2zvZBeSP9t5lSpruvnz58fHh6O/lLE58+fn56eDv9EAh6rmsQWAADgTUX/ARAANsTFxcWnP/3pL37xi7nCsJ/6qZ+aTCZmou77TGK7J1Xf1NNv6h3SO4aJbZ/JLpTYjotr3ZRw0Uawm93Hul47OKjhud548FZjd2vH7WDJvrCbfly33Y9gZ/xl6Z9JX5c0/OFW0oel3w2f1HnttdeqqvrJn/zJz33uc+nKmD/+4z/+1V/91aurq1whsOtq6Vp6RZJ0Kf16shgAAOAR4JdPAFtj+Wm219fXZlLbR6WXusmze8OM9c+lD3fTbJ+YZW29ALcyp9sJtntOCFgS4yrULm8oN9jvY91gIz3oXUe5m8zef/rOS/aF3WCB26icEeySL0hXw5m2/Xzbv5B+K3e6mqY5ZLItsIxaupZqSdKldJqqBQAAeCT2cgUAsBHalQ3MWrQLmEwm8/l8mIx8yHy3WNW1n0o/NJxOq1AOq1Cu5w26Da+dli6r4g23W/JYJTW9RLE9ZJ91YSPYHbdPdO24eyjYxe75kPR+Sd3bwN2K/kPSkkvTLnk6sPVqElsAAIAAQlsA26H9jvXRk9Hquj45OTELI/QrHlRm6us7zHoIhXNjNYwF3XFP+iJ9TayRUFKzWu4j2tfBHakKGsGudyj20sXqg113PHgIj0El/WzkbbBX8o1ks9lsOp3WdZ0rDLu8vKzruv0jDnh0ahJbAACAMEJbANshFLkuIDTN9iPeN485sezL0rvN0X7zptlWTlcmH/RqbL2VPirzWMGGK3hLsWLlrmYlrmZfKDvonhsc9/bLHwqOew1bjB32XukjkoY/9HYr+pvS5eXlMrNlz8/PT05OclXAzqlJbAEAAKL4RRTAFrif1Wxf7Vaz3RuGs0+l90tvlZ44y926i966k3Nt5uvlvyXzc2Ob4o3E0WA3sY91g43YUVtQfsMLPYXgoLcvGSxsyNyhewi75HXpN6RvSI0kZ1nbF9Lr0m9mzl56ZdslTwe2T01iCwAAkFK0WBsAPKyLi4tPf/rTX/ziF3OFYZ/61Kfm8/mnP/1pZ+wjocS2DVhfSN/drY2wH6qxia0X0Xq5rbdlY1yF2iMaC+0LG3YweBHvfkru1rta8D5jN19SFuvGGrGz+qPYMXvSX0j/PPIj/iehwYF2iYPPfe5zucKwJU8HtkxNYgsAAJDBL58ANl07T/bw8DBXGNaefnx8PJzC9nEnlnVz2KdSLb0kvSQ9GUa3VSTATSe22Yg2uCneSB9VZG8HY93Chsxl7eDoO7d3GxtM7NODhQ1vsBoewo5ppL8l/cGDTLat6/r58+dVxRsMj0BNYgsAAJDHTFsAm+6zn/3s5z73udFfQdZOs726unLGPuqse+BNnn2H8xVk9uhCie24uLaPBW07MVjSDe6XbAQvZW/S3lJJQ7nBxD496I7HDgWPuiPYPZX0VumLkZ/y/U62fe211yaTSVVVo/9LAbAdaiexnUvHqVoAAIDHjF8+AWy0lUyzNad/ootlvez1mXQgPe3m2D6R9pz01p2T6y1rW3Vtb2+3dJKrUDs96DWC3cTeNux4rDg2GLvDxG17N5buFu4Lu8FGYtDtYvc00n8p/Qtnsu2Lbn/vk22n0+nJycnx8XGuENha9TCxPUzVAgAAPHJ7uQIAeEhnZ2ej59hKuri4GM6xlfSxeHL6bZHZtW6NhnGe1/YKXCV5XzY0zB7NPkTMQicGn0s1HHdfjcSg90S8cXu0cG8Hg0djjfQgdlgl/WzX6EfareivTJeXl2dnZ7mqsMvLy3aubq4Q2E41iS0AAMAC+BUUwOZq58menp6Oy21z02y92bIvS++RnnYrJ9gvItt3it1gt4rPuh23yTSCg7GG3btdlXWDDYWu1g/GbrjknhM3bLuF+1h30UaijZ201GTbJZemnc1mBwcHp6enuUJg29QktgAAAIspmjYCAA9iMpnM5/Nxia3C02xfHa5yUDkN+71kblzoNtxDMjVyGlYV2cqVPEp/1NZ4Iws9dJB7Be9FsLfqvZIyNd64PVq4T3SzDe+svo1HopL+atfoR9ot/7em+Xx+eXk5m81yhWGz2Ww6neaqgG1Tk9gCAAAsLP/rBwA8iLquT05Ozs/Pc4VhdV3XdT2MTn4olMm228vSu0MzZ6v4plze56qGNcEC2w4OWt6hROWSYk/Be3bBdvAlsi+jN26PluwLu7GGHbSHsNs+JH1v1/bew78cPalzdXU1eoUESZeXl+S22Ck1iS0AAMAYhLYANlS7sOPoabahxXCfRXLYp8OVENpBW+kJRnte9hc7NyhYVj5432J34j7BbDvYkNPwxu3R7L6wm230bdvFzqukH+sa/Ui75f/idHNzc3NzMzp4XTLzBTZLTWILAAAwUv53DwB4EEtOs51MJsO1ET4cn2b7R9K7QnGtnBq37UZ4VWifDviyBTH2LG9k3GXLJR7Oe01i7WDDfYW98fRgtizWLWwEu3gkPuhMtu2179WiybZHR0e5qrD2X5v4OjLsgprEFgAAYDxCWwCbaDKZ1HU9epptaDHcJ05i60a3L0nv7fJcd6atuyk0omR06Ame64149cF2TEnNMrLPy+0G296g23BrEq9tcNC7sZJrBgvsIW8cj03lTLb1tvzfnS4vL9s/xHKFYefn5ycnJ7kqYLPVJLYAAABL4ddRAJvo+vr66urq8vIyVxhQ1/XFxcX5+fkwtP1k6KvG9qRvSD8kvSS9JO07NX3ZvlO8Nzw3uLf5jh30NoXawUFbEOzaQ954rBsrsMX2xmL3aW8y0Qh27d69k+A+1s2O97wuHqFG+i+k/0dqhtsL6VvS302ffHFxIen09DRdFtM0zeHh4Xw+zxUCG6kmsQUAAFhWfrYIAKxZ+x1i4xJbSe3stmFi+2pkYYSn0l928lm3QCYc9A4F957C4C97buI64w4tJJFmuq+Jku3CRrAbe50TR2Pd4LjbcMvwyFXdZFt174r+/ZP/69Pp6enoZW3VzdXNVQEbqSaxBQAAWIH8bx0AsGbt4ga5qqizszOzGK47W7Zytn8pvWwmz6Y3xfcKFS9j9BVGn+iJXcc+Qbfrtb1B72W0jWC3ZN+LXd/rBgtW9dJhN3xIel/oHVJJvxg+w7HM15Hd3t6yQgK2Uk1iCwAAsBqEtgA2zjJfQRZaDDc4zVZS5axmGzzat13B+MYe8lShLVaZli7Inr4k784TXbcRHHQP2XHbTe/Tg9lx2wYkVdIPhQarkr9BXV1djQ5eLy8v2/9zkCsENklNYgsAALAy+V85AGCd2pxi9FeQhabZxibSviy90+nudcX9SKsabu6gnH0s70sfCraDbEH2lGXY2/buNvhqeJVeTboR69rBbIE3aI/ahsy5QOvHpbdLct727Zb/G1QbvI5e5eDm5mb0ucADqElsAQAAVin/KwcArNN0Oh2d2IYWw33VWRuh3yRVUiPtDY+ml0foFaZ7VXGlZ8RjaZHK0YIvRVXQ9gaDh2Ld9PMKVpZ0vcYaXj1sqX3pR8w7pH3P/FL4DMf5+fnoyba3t7dnZ2e5KmAz1CS2AAAAK8avqQA2SF3Xz58/Pz4+Hpfbzmazg4OD4de1f0J6Sdo33zb2TPpu6an0kvREeiLtdfv9bl85p3jTde3e3dLhr7fJNGLtWCPY9faFXZlLeSPupng3eJYdVHE3uy8ZTDeAmG9J/4nUSI0k6UXXfl36O5lTpaZpDg8Px63T3f55OO5cYH1qElsAAIDVY6YtgA3SLowwLrGt6/rk5OTq6soZC06zbbfXh1Gsu2kYHQbHvb1rJSHgSi5Sohk2Eo/rvg7uSLDrNoKDbqOkm33lE4O2axtAwr70AefN7DZ+MXWeJOny8nL0Kgc3NzdMtsWmq0lsAQAA7gWhLYANcnZ2NkxdFzCZTObz+TDw7RNbN5mV9FR6TzeX1s1f1DUqpxsUO8WeVZktJv2IJQWr1ce43uN6I7Zrx7ONWDerMvvCrtsA0irp1dBgVfL3qNvb22VWSJhOp7kq4OHUJLYAAAD3Jf/LBgCsR2hF2gWcnJyEvoKsCm1/GlrxwN1a3oiX/fUS2V/w0KJZ4aL146QfxXtllOx67cJGsFu+7yWuFmwAJT4ova9rV877ak+axs5ptV9HVtd1uizo8vJyPp+POxe4dzWJLQAAwD0itAWwKdqpsrmqsDYTGU6z/WQXqXiZ7FPp0Fmytg9fEjmgQkdjlerG7y8WXOjKjUp5l61Cz8IbsV3bLm8Eu4WvfGLQdhd6AQFJe9IPSgq9S5+Ez3Dc3NywQgJ2TU1iCwAAcL8IbQFsitBU2VLT6dSshBtbr/ZfSpKq7g/AKrTZ8V4wHPRkM8FYgX2glSvPcHvBFyHW9dreoNuwNW63UGX2sW5v0YcAWj8uvWM4UvqmXWaFhKurK1ZIwMapSWwBAADuHaEtgI0Qmiq7gKOjo+FiuJ9wokZve0+31q2X6ioXwdjxYGU+wdkMbnobfGrZQdu17WrYdhvp8UX3vVg3/cMFsvalAzPYvsMzX0e2zAoJNzc38/l89ERdYPVqElsAAIB1ILQFsBGm0+kyX0FmAl+bybZp3duk7zSrIlSmzI6oG/f2nhGZ4IhTCi06qdbW21dAZsTtem23JtgIFvfsq5195Re6PrCQqlu+tnK2Vv5vU8uscnBzczN6oi6wYjWJLQAAwJrkf80AgDU4OjoaPc325OTEBL7BhRGqLpcM5rmJQDAx7iqpeUDBDNfecxUfdMdt17arYTvYCHZLXslEfaxbclkgYc/5OrKW/WiE3d7ejl7lgBUSsClqElsAAID1IbQF8PCWWRuhruvJZDI894cjmexT6Tudbiy3lRnvB2UqvaMbYtE5tlbwFZAZcbte262JNRLdkr3H/hBtF1hG/3Vkrvadn18hYT6fL7NCwrhzgZWpSWwBAADWitAWwMMLfY1YqclkMp/PzdoI1TBzbBtf6xp7w0OKNHrZvC9W4N3GqgQz2fKgtq0MPs3gfdpxbyTYrobtYCPWLVSZvXco1gXGqaQfd9ru+yr/F6olV0hgWVs8pJrEFgAAYN3yv2MAwH0zXyO2gJOTk/Pzc2fg410ma1dIeK+keGLrDnpxjIb1JYFg7Ar3bVye630pmb155Z5Rth1rZF/n9N6TuBqwEnvS9w/fxrGPjG+ZVQ5ub2+Pjo5yVcD9qElsAQAAHkD+dwwAuFd1XV9fXx8ejvktMHTuj0j70l6377dn0ndLlbQvPZGeSPvdZov7rYrv+82mw3akz3TGtb1GsJvYe41EcXCzhxTvqmxQ8e7ofXpPJASsAAAgAElEQVQQWIlG+h3pH0mNs72QXkivS7+VPvn58+enp6fj/mNB0zRVxZsZa1eT2AIAADwMZtoCeGDt+ga5qrDQugrBwFTSN0KDwYwvxpZVobOy11mn8jm23ivjsoPeSLCdHYx1F933EoPAqlTOCgnuYPCz47u5uTk5OclVhc3nc1ZIwLrVJLYAAAAPhtAWwAMz6xsswKyr8G8Pw0d3+46uZi+U7vUj7qZQpXdKyeDWCSZQwZF0OzEY644QvMLylwVi2hUSZP6syL/fbm9vR6+QsEzgC4xRk9gCAAA8JEJbAA+pruu6rsf9Z+HQue6yBm6e8nbpnSZe8WrSglHjmnnTZtOzaIPF9rbTr4A95I24Xa/tNSx75RF7T+IQsCp7Um0+CO3+F4Mn9C4vL+fzeV3X6bKg29vbcScCY9QktgAAAA+M0BbAQ6rrevTaCKF1FdxZtJXT7iNLm+dmY77yBDBd6aao2VUL5NQsFM4GR4K8Mu9lsYe8kVi3WqQR7C4k8eNb5rJAQiX91dBg8OPju7m5GbfKweXl5WQyIbfFOtQktgAAAA+P0BbAQzo7O7u9vc1VhZl1FX4klDxW0jPpO510L5YhVsPNLfDkc5m1a5x98JAdSTyLYPbkDdqubWcb3qNUo/a99E8NWKH9boUET/7td3t7e3R0lKsKa3PbXBWwnJrEFgAAYCMQ2gJ4MHVdTyaTla6N0Md27vbUGXSPuoMl0pXl11lS4URaDSuDt1clX4Hg0UQ32E403O4yr17wCstcEMjakw7MYPt5OQ2UOy4vL0cva7tM4AsUqUlsAQAANgWhLYAH066NMDq0jayN4G2SGqftHSpMDGPR5EqUh7DlYteMjXsvS/Booptu20aw6w6W7z2FP1BgSZX0Y057sT8iRi9ru0zgC+TVJLYAAAAbhNAWwIOZTCZXV1e5qjCzroK3NkKfmzxzvoLMHQ823JqF4r/CsqxEgLvQt5BZ3qzbxA1XkQJvJJZSBa+cOLfvjnsNlzkXWMae9AHzJ0n6w/WG0cvaaonAF8ioSWwBAAA2C6EtgAdzdHQ0epqtWVdhPxTLVs7aCO6gjVfyOcty1vAtZIllbYO8lytWkBjJtu3F7QWtqmAflC0AVqiSvteMtPuTQLljmVUOlgl8gaiaxBYAAGDjENoCeBihRWlLhdZVqEKbpD9y2m7DPTFto6LAwq8aiw0GuS9X8GhiJNuONbzLLvoiV2YPrNme9Ffjh1KWWeVgmcAXCKudxPaGxBYAAGBTENoCeBihRWlLhdZV6Be01bDxznhia3NDL7tcQxq46AzcJaWfkX0F3HFvpLydeMHtYEy2bKGrAcurpD3pHWYw+CHy3dzcjMttlwl8gYDaSWwvpeNULQAAANaJ0BbAwzCL0i7ArKvwo05W4kaEz6TvTGYosTxxtZZPZgsXtI2tkGAXtE0/32BBMHJNt2MSNVVkX3IUWLM96f2h8fzbcpkJsyxri5Wph4ntaaoWAAAAa0ZoC+DBjF4bwayr0E+z9bavD2NZu/WHNspCC9qml7JNXMG+DsGCxEi2nWi4qvihQstfARihkg66RuW8D6vssrbz+Xz0hFmWtcVq1CS2AAAAG43QFsADWGZB2+l0ak60ayO07Xc6I1ok1EtULjpVNlG/6Azckppx3BfNHkqMZNuxuDb7E6kie2Bz2GVt+3dpflnbZSbMjj4ReENNYgsAALDpCG0BPIBlFrQ9OjoaLmh75GSObq73rFvQ1gv+FkoAFyrOKkld04sbBAuyR+2LExMss4NuN9YeoeTVriJ7YP3aj4a3rG0/njF6wuzt7e3BwUGuCoirpedSLYnEFgAAYHMR2gJ4AJPJZPSCtibmCE6zraSvdCMxRcFKSDZXzY57h4Jl5eFsbIUEO+K+PgnBAm8kltVW8UaiO+4H4Vr+CsAIe9IPDEdK39J3d3fjlrXlu8iwlFp63rUvSWwBAAA2F6EtgAdgvkmsVDtFd3iuF0T2jfeZQbfrKskxl1cyzTZhoWC35LGq3BO344n4teTVS5zuqYr3wMOqpO+IHJpGxt8w+n8biO8iw2g1iS0AAMDWILQFsG7LLGg7mUxM0uEls/3gu0xi653lNTyLZoIlE12Dh4Jt2wh208qfQiy6TbxuCfa1LbnIuCh23FnAquxJx2Yw+GeOb5kJs6OXVsCjVjuJ7TmJLQAAwKYjtAWwbsssaHtycjJcV2EyjO36rOSp0+0VJSlLSKx4kF0MIS14tZJrLvSUY5WJyDXWjg2W1ADbZU/6/lxN2OgJs6OXVsDjVQ8T21m8EgAAAJuB0BbAui2zoK2k4RTdfkFbL3D8utO1WeTyKWFiXYJmkVh2+Wm29grBsvL0Nli2aG6bvUJiMFZQmT3w4NrPy/dGDmWMnjA7+t+98EhNSWwBAAC2D6EtgHVbZkFbs66Cm0W66e27upFNUDIlttySV3BfpXRZeiSW26YH00djsWzsUgS42ARV6G9T7dvyF8z4wOgJs8ssrYBHZypddG0SWwAAgO1BaAtgreq6nkwmo0PbyIK2NoL8tmGS6zVk6u/PomsmZOfbuoP20EKRbjq9zea2QdmzRiS8wCarnGVtvX9syPwta5kJs6OXVsDjMiWxBQAA2FaEtgDWapkFbc26ChMnInHT22fSy/efAy4Uj1qLTr9N1LgBbjqHjYmdkk5gY+2YwocAtkv78Xm703UPpSwzYXb00gp4RKYktgAAAFuM0BbAWo2eZqvAugr7kYzyWTdSDbfRSkLVoNHJbGyabWLVWs+IJz4iVE2fMuJcW1CyBx5Q+yl7f+RQxugJs6OXVsBjMSWxBQAA2G6EtgDW6uDg4O7uLlcVkFzQ1tv+rDsaUw1zz3ywIjWLr0Ww6MIICdkVEtIXKY9ug5XeSOxS6Rc80bWHCu8W2BCVdDDsqvBtPHrC7Oj/soBHYUZiCwAAsPUIbQGslQleSyUXtO27rbc6oYnbsIlkeZrZKs9ts6sZJNrLT7MNir0Iwcr0iNsNXm2hYHeBhAvYPImPVZX9LrLb29txE2bn8/m4tBe7byaddW0SWwAAgK1FaAtgrSaTybgJYmZB22OTybaNt0jvXkUCGEtIgyOJibRetzzkjUW37uDoGDeb3mZz26BxZwHbrnK+i6wfad3XX7Rubm7GrauAHTcjsQUAANgR9/W7BABY7WzZcaGtWdB2bzhDs08hn3UFwUi337uNlWiczRsPtm03MdiPj8hn0xLRbfr1cY+OfiULT7Q/Pu9HCTys9nP0di1ume8iG70eLnbWrEts5yS2AAAAW4/QFsD6hJY4KGWyiT0nqHXDu6+OzfLK89BxlSVhbqLhstNsxz3lXmFuW/IosUx80UsRy2K7VKHvIkv8o8jA6Ox19InYQTMnsb0isQUAANh6hLYA1scscVCqDSYi30LmdiW9e9i1jUUtNB/WtWhia3nRbbDSe4LutpBF6zU8ZcTpFkEttlT7iTvIlYWN/qcsVkjAm2YktgAAALuG0BbA+hwdHY2LJ0LBhI1r2/bL8dTPDT0XSgZH5LYlUWysnUh4+25JarxodBss9gYXumCr5AojLgtsjsS/lOTf2zc3N+O+Uuzu7m7cl5hh18xIbAEAAHYQoS2AtRod2oZO9OJaSc+ktzqH+oJEpKKyea9N6FCiONbNnlIY3ZbLZ0aOhYq1eL21/BWADXE87Pbv7Z/3C41xE2bH/XGKnVIPE9tTElsAAIDdQWgLYE3qup5MJsMlDkrVdT1cV+HHTCDbNt6Sm17aHgomsK7YbNbgiN1ip8QOJR4oeMqiAW413LLF6ZHYFSrTiBWMUJk9sIGCn83MO/b29vbg4CBdE8QXkT12tTQdJrY3iWoAAABsGUJbAOszel7Y0dHRMO3di+R3z7pBN89NJ5WLxqDllVo8sY1dfNGbTMtGt9ncttC4szz3EQEDK9e+Id8eP5QyLnsdva4CdkFNYgsAALDjCG0BrElkiYMi5lw3inWT2T8w+YgbdNpDiVmxsZHYoFWS2AYHvUbJuSNko9sE98SVXGRcAbBRKum9uZqAZbJXJts+UjWJLQAAwO4jtAWwJpPJZLjEQak2kjChrddovasb9Da3ctHQ02a7KrhILLFtIocSjWB3VWLB6MMGpg/76MAI7Zt2P34oavS/ZrUIbR+dWrpwEttjElsAAIDdRGgLYE3MEgelQlN0vTS2396Wy0dK0sDY/NbsiHso23a7iVB4DdFtyWuisrLCCLjkUsAW6f8IOhj3IR09Yfbm5mbcidhWtXQhTSR1ie08UQ0AAIAtRmgLYNOF/uOwnT8r6Zn0VueoW5BOCYMpbVAwXbVbsL4ksU3XlNzhCi0TrY4+d/SJwIOrQm/gorf06BUS7u7uCG0fkZrEFgAA4BEhtAWwJpPJZNxM24ODg+G6Cv+OCWTb7S3OoOUmuQmJCDUxGFSexiYGbfc+ZF8Wyz1lxOnATvqByPjPRcaXNZ/PDw4OclXYCbV0TWILAADwiBDaAliHJb+FbJj27jkJrBsXftXEuG63jz6DCWNJqGqPJiTm2xYmtt7s2tiDVma7P9t7cWANqm5Zbe/Dm/9g3t7eHh0dpWvwqNXStVRLIrEFAAB4LAhtAWw6859/vfjDCytj4YgX3ZZrhkmrOxiTSGzT7VhEm0hsCwezVngp4DF7uyTzmb2vj9LoxXCxTWoSWwAAgMeI0BbAOqx0pm1sYul3DafWBmu8rkLhqTdLLljZjwS34CnZdqyRSIdj7NN8KDZhB3ZYJb0nVxOwTPY6+kRsh5rEFgAA4JF6kisAgBUYHdoueGIiEwwearrpt4VhYnmlhsXZdqKxNmt+OGDHtJ+g/UxVxLjsdZE/HrGF6mFie5iqBQAAwI5hpi2Adajr+u7uLldVqHJmklbO9rIp6Mvcc/vpq94MVjut1dbEBq3svFq3XdKwshlrtmBDbMt9AiXenisIGJ29LjNFF5uuJrEFAAB41AhtAazDwcHBuFQiNNO2Mo3Wy6GU1lYGa4IBbt8OJryx9NYdj7WVjGVLElsAm+k7h92iTzHZK3y19LxLbC9JbAEAAB4jQlsA67DgKgdvipxog9dnwzA3Ns3Wyk6DTYzISW9tjJtoB2NZmws/Eo/nmWLnPcC0cQLfHVRLz7v2pXQarwQAAMDuIrQFsNHMugp/LRLOvsUZcZVEt+VpaVOcMBamt7bdmEO2q+JsKBheA7g/Iz9uZK94w9RJbM9JbAEAAB4vQlsA6zCZTMbNtDXrKrR/aqXD2ZJptm3XxqbePpjSxsbdAttuCsYLE+ERRgZJABb07vv8IAeQ9u6UqXTRtc+lWbwSAAAAu47QFsC9a5c4GBfamuURvDS2z2e/Gj+qYZ7bikWoQdn01tvco33bOys4bgdtd6vt0nMBgt4tqXuru2/4nwnUOkZnr6NPxMaZkdgCAADgTYS2ALZLFYpi+0NBNrF1K21satMWr6BELBHOtncssd32+wcW9e6u4X2oM7PdyV4fu5l01rVJbAEAAEBoC2ANRn8LmQLrKgSDV0kvd4PeFhPLbV1N6FATGfdqbLspGPfy4hUmniu81D3Z/DsESqz7nXx3d0fau/VmJLYAAADwEdoC2FyRdRXcNLYPZ1+ORLTLT7ONpbRNfHNrvIaGNTa6XW1iG7t5ACvUf8TaP17eGqrJzLQdnb3O5/ODg4NcFTbYrEts5yS2AAAAeBOhLYB7N/pbyEK8uLb3NmfQm2brtT2JrNZWlqefwWQ21k40lrGSi2yI2I8J2ED7uYIAstdHauYktlcktgAAAHjTk1wBAKzA3d1driRgwXUVbCBbJQO+vr4x02+rriFzWW9KXVATurh3NXfca5RYqLjQCq+ZvlTiaNP91Lw9sPn6PxzeKv1JqhCQVEtTElsAAABEEdoC2C7uLNpq2O0LWm5I6gWmwRAwFhS6sa97YjYO9m4gdmOxxHbJsHLJ01veRWLXzObOK7yZlVwKuCftp3vP+fMh8QcFHrF6mNieSjeJagAAADxGhLYAdsPbTJbnJadudOJFqLGs1oaDXvibELyUF9e67QdPbBc9ZdF6a/krAJujMfmsHQEkSbV0IU0kkdgCAAAgijVtAdy7g4ODRVY5eFNoeYTKNCz3kK2vzKCNWvpGMHNpig95bbcs2I6NLGTJ0wGMlvj08cGEJJPYHpPYAgAAIIyZtgC2TmUS27d0I8E0tnLiEm86rXtKE59ya4vtIVvQmIvLuSXb9hoeOx6sjJ2etsJLuUquUFIDbDj3n2cWPYrHpJaupVpSl9jOE9UAAAB41JhpC+DeLfh9Ym+q6zp5vApNm/UK3Eo72Gsie09Tlr+4NV7brUkX2K7Vn1t4Y8sov3isMp1qLWrEKcB9a9+WL2eqVmo+n+f+qMRmqElsAQAAsABCWwAb7e7ubjgQjFz7TLZyNu9Q226ctscmqo2z2eLE5l1Hw3Gv7RWPyCJHnOIKnp6+Zuw5rs06HwtI8z743geZ9yokkdgCAABgYSyPAGDr2Lw1OO5FtE2opj/aayI17qVKuA/XOA05V7CPFXv0kqPjFF6zsCzIOzdxqdgLssyjA2vj5bONGcFjVQ8T28NULQAAANBipi2Ae7fS/7pbOXt1E2mfxafWuu1ecFDDKXKxwKVxtiDvUGMatiZRea8ST+G+JR7C/SkAWyfx0U5hlYOdVUvPSWwBAACwMEJbAOswbk3bg4OD4Yn/vtO2gWxJRBubyKnQXsOINpjF2M072reDg7bA440XpT9lyi+VuIfERUruvPwegpY8HVitxMc5+AcIHoGJ9LxrX5LYAgAAYAGEtgC2jv2f8nZEi2S4/Uhj9h6bzAaVJLO2IHvZFSoPWwsl4ipg57mf4pJ/rsDjMJWuu/a5dJooBQAAAHyEtgDuXV3X42bamhNtzNp6y3Cybfk0W1flDLr5SzCobZKbW2bb9moyI7GL2O6igo/uHk2PJG4sqOTmG2cPbJ3Yuzr9WcOum0kXXftcmsUrAQAAgBBCWwDbq49o/6Lreof6tjueLugF48vyFMat7Nux0xvTSCss6zXOli5bldEPtGgoDDws78PFmxaSpJl01rVJbAEAADAKoS2ALeUmra8vGNFWJhx0R2zY6mkKNrfYNtyIJ5byBC+SGLEF9mYW5Z0buyX7HD2xl3FRTWQPPKz0u3H5T2LGuP/KgPsyI7EFAADACjzJFQDAprETYytn3zeart1nJV7bG+zPsiOu4LTcIHtZt+EN2kqPHU9UapH7VOQU7/qxh0souUJ2sP+JLProwJr10e2fmMH7Vdd1rgRrUUvTLrGdS1cktgAAABiPmbYAdpUbywbbrWAY6jW8o/1WcrRvB0+JXac/mtaEtkXFnkiCezT4pBbVOHtgi3gfcNstNXrtb2yKmsQWAAAAq8RMWwAbbTiD7B9KPy0pNOmyGo43XbcPTYLtyqQq7RWa4RxYW6Dio8ELeoOeRceXUXjNkrLC2w6WuT++ksdyLVoPrErjNPqs1h13jy4Q4C6EtHcj1NKZNJUkzaVT6SZRDQAAAOQR2gLYXKEkwo3nquHMWe+QF4/admPyviqSrrrc5KXkaHl0GwwfSxLPcWJPULkHdbuJ+ym/SN+1Vy4fBx5E023uyNeH3SJ1Xd/d3eWqsJFq6UKaSJLm0rE0T1QDAAAARQhtAeyAfx0arJy4JNh28z5v0EtXXV7UmDgqcx171A72h2LB6JJJpfs6xAoS14/dmPtMy29voey1sAxYs8Zp2M2WrRhp7wOrpWuplkRiCwAAgFViTVsA924+n9/D9+R4+V3V7SvnUKLt6dNDdyQYsgTjmHRBsBFMcwpjncKyVixCilXawWV4pyeu1uQKEsadBSzJ+5i32wvpT0NlmXfpwcFBugCbqCaxBQAAwH0htAWwM9woNtsOZrjBMDcRetqjwYK+HRyJcY/aymxMWZQTOYKV9umk27Gnlu5ajdmXHwXWw/ss929I74+RBd6iLE27ZWoSWwAAANwjQlsAWyf9f+RLptl6KW1jptmqG7caZwuyBbbYjXgUaSTasRHl7i0oVm/vOdv2JK7QdwtvdaFiYG2a4SbpK5EPeObdO/r7xA4ODsadiKXU0nMnsT0ksQUAAMCKEdoC2EaxSbLu3iuItWPTbPvMxYYybk1JQd9WpCbW8Njx9KOXKHyskitn798VvL67LzfuLGBJwU90sH2/b9F7WHwGOVPpede+lA7jlQAAAMBYhLYANtfd3V0yj+gj2n/tdPtDhdNsFZpm6wW4rmxCagv6th3JGhGelkg8BTue6CbupzGNhTTFe2D9gu/A9rPzIlRpi1eJmbZrNZMuuva5dJooBQAAAMYjtAWwY7JTaxXJbV1Nl+S6myIZjS3zCtIjCsU6bk3JFUrEbtKrSY/Ebix4567EUxv3dKxVXQco0ThvYHf72vBQX/DZ6JUkafzyCFirmXTWtc+lWbwSAAAAWA6hLYAt5cWsf+oMJrLabFybOBQMaLwIMngoWCzT9XhXThxNiD10rNIOxrqFtxe8QvBmmsg+rbwSWJXGeeN5mzvNdk1vS5ZHWJ8ZiS0AAADWh9AWwL2bz+driRUS+Wx2mq1b0AwXTLC5jCc2rtC4N9LEG4l2P5J40NjRoNh1Yt2StpW4YEKT3AeLgfvWmHdjv33VVPb7lGVm2o4+EaVqJ7Gdk9gCAABgHQhtAWyu+Xx+cHCQq2r9adfILomgUG7btxMzcHtN8WZP6bvuoVjDtm30k3jQrNgpdrDksoknkrixxuwXtcy5wGje+7z/NH3FfB7zH8xlEtu1/JPY41ZLUyexvSKxBQAAwDo8yRUAwFb4hqRh8Nrk2rHBft+zgUsi0u25Z/X1jfOIicHg0WB3hP7Ggtex10/cQPCGg2d544ln4RaU7IOnA/ek6T5BjdleSI30dVN/j9rEdnTgi7xaupAmkqS5dCrdJKoBAACAlWGmLYB7N3p5hAVP9KI6txtsV8O228imfjavsVuw3htMcI8udKKVuDFbZgdj3eClgleIPWjj7JexqusAJRrnLdduL5yGG9q6ZSnLzLQdfSLyaunaSWyPSWwBAACwPoS2ADZXKLS12UcbsH5j2A22bUSryKCrHW/MlpYoDuaetpFoa8F7yAqWFd652w5exHaDt9QssfeUPGVghMZ543kfgXZ7If3J8KPntqMmk8m47HWZtBcZtXQt1ZK6xHaeqAYAAABWjNAWwL27u7tbZMLsmwpm2vYTYw+GXbdg0Wm2niY+nthilf2IezTWsO3EldP3EBOrDD5Q8GjittP3UFJTbrVXA2Jin7UXXePPImdl3N3d5UqwRjWJLQAAAB4YoS2Ae7fI94ll5bMPSfGsNtaONfpptlVxMJquaUwjOBg8GuyOk71/byTWjV3BPeQ1sqfE9ulKz0peJcDVmLdc42xt1/sWMq8g6uDgYNyE2clkcnt7m6vCgibScyexPSSxBQAAwAMgtAWw0ZKTbd349ZuRabZuu3CarRfU2gJXOpoJHrKN4GDwaN/NZEBDhflR8JB96HS7MYe8gnRZQrZ4xDWBhQQ/zv32Qvpa5MQXkfE3jF7lYHX/HobOTLru2pfSYbwSAAAAuE+EtgDuXcEqB+X+x8j4NyU5uW0wn1WknW1UkYwmu3nSI028odAFgw9hC9I1rdjdJm4gfefBsmBBP2j37lFXuj42CCwj+HFwtxfO15HZss/71xsaHdrWdX1zc5OrQrGZdNa1z6XTRCkAAABwvwhtAdy7ZULb4nO/aUaWmWYrJ6hthuMyuUyMG+i4gwqNeBrTCHYVCo/sg8YkKtOPG7z/kobbzd5h+nXzBAuyDwGU699jbqPd+rj294eH3BNTRoe2WKXZMLGdxSsBAACA+0doC+DeFQevAYuc+w0z4i1oMHqabVCT24LF7ohtxwa98XwGFBe7Q6/AG4l17UUS99aECprkvqQmcUFgJRrnfZXeXo+cmLJMYjuZTEafizfVTmI7J7EFAADARniSKwCATRMLQb4hvd3JWNuyymlruNBB5dTEGjHeUe9BPV7s2zh35Z6YGPTaGj67LPeuEhm0LfAexXZjt+eONN3r6V3ZDlrZgtYyDwGkNd2+cZam7bvu/oX0h92hxvlMuR/AgNGhbXviuHPxplo6kyaSpLl0RWILAACAjUBoC2Ad2gmzI8KFu7u7RWbauvGcG7z26aFtZxslvAdyx73b8JJEN1JMD2p4/+6IN+gdCh512csGBxN3Yu88+Fxs1x1cZh+8YKwLLKpx9v1KCO7W57ZfNyc23YnYSLV0LdWSpLl0Kt0kqgEAAID1YXkEABttPp+br0ePJSDvNCNeVOd2q0UaQTa4sZtyezmViUH3KQczoOBDJ6QrvUF7A8FDJQ23m73JQo3Ze4fsOFAo+Mlyuy+cxlelP40Up0wmk9vb23RN0Lh/CcOb6mFie0xiCwAAgA1CaAtgHebz+WQyyVUVSicglQlng1mtkiltNrdtx2N30gyTmlhG6Y4E48VYWyVJ0JANnhI13mCsm73/4KHgBZfZe7xDC71KgCv4lottL6SvRa7QL6oQZv5dqhSh7VJqk9jOE9UAAADAuhHaAliH0cnCzc3NdDodjjWRJO5fOe10VluS0sZyWy+uDcY3veCId7pXrOEpwQJvJPhqFBYkaoLPxe3adqwg1k3fWFoT2duuOwgspH8vNabtLmXbbr/vHHW3/yn1CFJd1zc3N+maoLqu7+7uclUImUjPSWwBAACw0QhtAaxJ8dK0A6G097Ndw4vhvukXFk25XaghqTHdxOaWBfeKVKYLvCfeDyZuIFEfO+qNxLr2hu1grGsHy/ee7JXtUSChGW52xN3a0PZPzBX6fVRd15PJZFxoe3R0NPrfwx61mXTdtW+kQxJbAAAAbCJCWwDrcHt7O/q/ALdfYmaGg1HINyTF59jGDpU03G7TNbyjlpf4BPd9pW3HCuRctpyXQCVqEiO2GxvUcDDWtS9FWvplTOTG0pYAACAASURBVA/acSDIe4M1pu1u7reQueNyGinLBK/LnPtIzaSzrn0uHSdKAQAAgIdEaAtgTcbNtJV0c3Nj1sON5SB/2DXSc2xLUlqv4cW17UjT7YObulPkdD3uuD3LDnrXaUKDntE1wRHbLXkKrsQL0hTsPYkCbzB2P4DHe1O5DW97MWx8xVynPz1q9Lq0y0zRfaRqk9jOorUAAADAgyO0BbAOoeB1AcWBbzMMVdPR7aINN7d1E8BgbqthQ07DDrqxTmMatm1jIHsD7p1Y6Ro7aG/Sexaxttewlw3urcJK71CwCyT07xn309GY7YXpftXUqzuUMplMbm9v0zUx49LeR6qWpl1iOyexBQAAwBYgtAWwDm24UJy9DoSWVoilb+8yI25Q63WzKa1t2Gm2XlnPC300DBC9ZEdOQ8PBYLvvxl6HmPRZwaPBETseu3+3kXgpPCMKYo/lDsaOAi3vvd04m9dtN/dbyL42vEjf+IdKOjo6GjdbdvQU3ceoli6cxPaKxBYAAABbgNAWwJqMzhdCa9o2TjLi+v8kFc+xVSh1TTT6buOM910v33G5oY+39xp20La968ce1BbEarK3bUfsuFegUMPtJgZL9p7sNW0j9mrg0erfGMFGbOtD29+PnJIx7p+ytNwU3cellq6liSRpLp2S2AIAAGA7ENoCWJPRKySETvwfuoaXifwrp23D1irSLmy4XTf4a7tVPOWRU2z3bkPOKd65wRpXE9msdEFw3D6R7HiwYS8bOxRk6xMXjHW9YkDOWyXYaJxw1mv33X5B7QXe1W1iO26m7egpuo9LLV1LtSRpLh1LN4lqAAAAYIMQ2gJYn9FzykKTbRUJRL7htN1wth+x7fKG7TZOox1shpu6wcRew+LYuK3xRrIS9bGrxW4s1rbPum/Euq7sC5Uutl13MFaMR65/V7iNdvPWrrWH+oKvR66TsswSB6P/OH1EJtLzYWI7T1QDAAAAm4XQFsCahJamXUBohYSgL5uRVeW2sW46l3ETnMTeK7bjwRp3JJgQNcVHY4e8QfdocNwWeE8zeM1x+17JYOH94LHp3w9uI7F5c2wb6XXpq9KfOVeTU5AymUzGhbbLTNF9LGbSddeeS4cktgAAANgyhLYA1iQyW7bIzc1NcWj7Tklmjq3t2na2Yceb0FEv4nErE3v36TSh8WCNfRGCjx6rKT8UvCWvG2z0ZwVrvKNZ9qz0BbOPHnxSeDyC7wSvHdva9PZ16YX0TyM1/3P0kSVJBwcHd3d36ZqgZaboPgqz7mvHJJ1Lh4lSAAAAYEMR2gJYk9Fr2kq6u7s7OjoajrnZiuuPnLadFVtF2oUN242FfV70o9DdeiNN6Kg37tX0I7HbsGXBytghdzz40LZd3gheLb33ZK8T66YbeCS8N7b7bvdWRfAWtHX3bW77f0eunFHX9bjZsqOn6O6+2iS2s2gtAAAAsMkIbQGsz+jJtqF44rclhWKRb0pfd7pebuuNZFNamSvEYtxlokP33GZ4NNG2j5jYrMRRbzz2WMF2YSPYXXTfS1wz1k03sNsa513hNrx2bEHbF+bQ14dd98pRdV2PDm1HT9HdcbV01iW2cxJbAAAAbDdCWwBrNS60vby8nE6nZjiWtbXL2gYn1fYjtp1txGJcb7CdfluZ7MZ2g+My3dh4381kQ0OJU4KHbLcpaGcbbtfdp9l678oLddMN7Cr7pm1C7eDmLWj7YrigrXvZJrug7TJLHIxOe3dZLV1LU0nSXLoisQUAAMB2I7QFsD6hpWlLLTJL9xtdwwtng1mthnlrrBEcD6a3rmBo2ETGvUPpcbfbjzQLHlLBIa/MPWrb9qnZRuM03KNeTXCfKEtXxorTDewY971n2/0Wm2Dr1fQL2v6zyDVfD99FZzKZ3N7epmtiJpMJoe1ALV1LtSRpLh2T2AIAAGDrEdoCWJ/Q0rSlQkvieilJ78Bpl8yxVSilzU6zDea2/TTb/pB3h26mY0dU3O677og9FDyqsnPdri0IttODtttrFtz3Sgaz95B+CtBOvCDeD7cZtu3mzagNLmjbSK9L/zxyhf8lei+SpKOjo3HB6zJTdHdTLT0fJrbzRDUAAACwHQhtAazPMkHD7e2tCXy9/33chzJfioezGk659dqxRuG47aZzW2/vVmbbfdcdcQetWFkTOpSotG0Nx70CtxEsXmZfMlg+ruHzcp/gYxZ8cbaI+w5szNMp39wvH3NzW3cRbTnFKXVdj54ty9oIAzPpedeeS4cktgAAANgRhLYA1ieyNG0pszzCb5sIqU9kvBilKohWE43C8cq5H++QGxsl9hoWJ9p9N/gKBDdPbFzxawYLvDtctOHuSyTO8gaDXXc81vCKy+9t9wSffrM9L4v3M/V+1sEtvTaCO/32dWdBW7fGe9ywZWbLnp2d8S1kb5h1Xzsm6VI6jFcCAAAA24bQFsBaLbI07cDl5aVZHqEVzEe+JCk5x1aRdnY6bXrcO+ppcnv3ibhd27aV+ZxIUrzSXiRYmb6rvp1uNE7D1RTsE8WF3fKGHXxU7LNunE3Dl2jTeD8+2w2Gsy9CDbs2grt9bfgi9JfKL2h7dXWVrklgpq3qYWJ7Lp3GiwEAAIAtRGgLYK1CS9OWms/noWVtg97VNap4zBprp6fTJsY9XkFTsJcJwmzYFDzkDSa2WL09PVuWaHuDbsN2m2G3cF8y6HaD47FGenDn2SdrX5PGbJvAuxnv9uw9l2825G0n2/7v5nHbxv8auDvHMgvasjyCaumsS2zn0jlfOwYAAIAdRGgLYK1CS9OWurm5MbN0m2Cl9AfD7ujctnBcw3S4T2ltI73vn04T6iYOeYNpC9V7ZbZrx+2g23Brgt3yfa/k4tlx5Z6F195JwSdon34TajfD8TXzHte7meBNvghFsU1kmq3bdce/EnmUlCUXtB29rsKOqKVraSpJmktXJLYAAADYTYS2ANZt3PIICge+/8CJSzxfHnarXMbqWWiabTCurUxDw7u1e5nEp8kd8p54U7B5vEOx4vSNpQeDjWDX7gtrSrrueKzhFdtBb3xnBJ9U7IWy3Vj7Xl+o4KPE7jC2vUh2vfEXzmq2r0u/P3xc9+FSlglez87Obm9vc1W7q5aupVqSNJeOSWwBAACwswhtAaxVfGnavMj3mMUikmeSknNj3W4iwI0dSuS2VXdLXm7bauJ7t8Z2g4fckUxUNBR8CHuF2MMF2+lB95Adj/EONZF9Ybe8kR603e0VeyKJ10fdWf25wbbtLvmKJS7VJLe+wGay7rklc2z7kdel/yvycL/j3/gQC9qONJWeDxPbeaIaAAAA2G6EtgDWbfR3kSl8rpu8uF50DRu2uiOJ3DbWyI57hxpzNBgYud1EZfCQHcxuiYsEx4MnBtveoNuwNYqUxfa94KGSbraRHXTvxOtul9jNuz+LYMNrxzZbU3JW+oKubH2/xebPNsMc1han09svS03oZjJY0HaMmXTRtefSIYktAAAAdhyhLYB1W+a7yELntt/S3nT7vvEl6etdjZfbKh6wFjbsePCoV9M33LtthiN9gZf+uJXBQ0Vp0ZBXH7xO4k7S7XTDfTrBo9l9yaDbteP2UPBus23b3XyxG469CG6jGW6KtO0WPHchiYu3WyKcLTwxGN02TlDbr43wFemPnLuSU5nCgrYLq6VZ97Vjks6lw3gxAAAAsCsIbQGs2zLfRXZ3d2fO/e0uMen1XXdZ2xXmtrZbhVLd/5+9d19yJLnOPD9UkRqxqQsp6jKzoliBtZGoMVK70hMk8ATs/mN5lVkCT8DiEwB4glI/AQBb8SLNrmXXaGZ2Z1cSkNKMKFFssYpN8SoRkWQ3KV6qVdXdbDZZmYj5IxjeHn6OXyICmYnM+n7m5nbO58c9AqisTMOXnh7yioae5fLI3n45RV2RsXzt6S1lHZ8SjcMBrEBNU/oUUdV9Q07QKDaprewbgTtUX5caOFMKUZaSqkq0tZgimzR2fVavMWq3Vrqtzkb4nGfWGYJ0MV4Hg8ETd6BtBozqju3UW0sIIYQQQsh1gqYtIeSiWa/X2tG0SeR57j/WthD6u+qpNFLb+bbhND0ob9jp7cB+RXZaeFL1TVDx1fuuG74TNQ4HhRU4eqM+Kqp6NAi/KLVGjtrKpRO4n+jrVd9V+fKL+lAgVZXzbvLQg0CNekKCejZCIV7LnyPI4eFh6wNtW5+rcFXJgFXl2OZ0bAkhhBBCyJMFTVtCyEVT7jJrd6ztYrHQjrXdWtaJzUsAhFcrUxkHAlWXi/TEUIpv6wQmTkwdMdAcpB5VorEjOkMBvWkfFqM6/PccqExJjeKIF0YRvAFnSI3VwJ5b1IfUJofCxYHR9NZiEd95COo22x8AD6y7hTUrQutDaZ+4A20zYAVkAIAcGNOxJYQQQgghTxY0bQkhl8BisdjpsbZ/CsCyTmy+UwU+19UXJ9q1JpC9LzVIawnW/Rf111LUFd+oo/vw1acr0dgR1SFf6gwZAjWO6Bv1BbJYik6cmDqio++c6IXkqLz5aGB6ozvXVWOfEriBxOY73yC9bJsQF/WzEdSbjJi2g8GgtfHa5VyFq8cI2FiO7RBYB6oJIYQQQgi5htC0JYRcDq2PtfUciVtocQH8nKV39G0T/VzTO7NQv0l1yPT2Syg0xTcqdbU5SD2qRGNHVId8qenDaXpleqDevBonpo7o6GpBOunryAJHcWI1KKzASRObr7jRIk1b2JC1j0rYCnErWvkUsu95rhU5G2EwGLQ+G+EJOtB2CsyrOAf6QO6tJYQQQggh5LpC05YQcgl0sR4Wi0XCsbYm/nG9TNqsqgMbtmUhipvauypF/VU4rwjJo46u4itOV6KxI6pDvtT0UvRVyiE7Dd+DXRMQ1diX2ootOrpakN7C+CrVG3ZiNYAVOItHY5nK6+68qVtro5tqbcfWpMauPQN+CPwANczECF0Ope0y98qQAdP6Y8f6/mJCCCGEEEKuNTRtCSGXQGm8tjvWFvrjyM6AQqt9GXi1rvSEhZpirfp82IA/awqcQC1Gdf+mNy+nqKe+UeflF8Hm4LtEQInGiYGamj5dVIdU3Rc4xYmxL7UVW3R0Z6gjgZWlbqcyjgbOmoGl1DQgnkdT3Vt71HZsbVHdb/tlz51HTNsuh9J2mXtlyIBJ3bGd+osJIYQQQgi57tC0JYRcDtrRtKksl0txQsJ/BFBZJw4/AeA3ap20USBTadQiLSjqvR2YV1TUlSJYoL4VgdUc0VejpmocDgorcHRfTYt6dUo0aBT7Ulvxic5Q9xZYWYp26sSOqA7ZvdEbtRazwt6rvaasjG6wtRXVqy03226Bjefqf4Ego9GotevaZe7VIANWwAgAkNOxJYQQQgghhKYtIeSS0IzXVLSdtrC2uRV1/cUqkGar9FsTA5Pa5qxq1Pa0wKaoi0Xde7JF+3UVngLntRfaUKDMUXwFgQVNHA5gBY7u9L6hFNFOpe67PRkbfDUmDSu2qI52JLCy7/bU2BGdIecScp1AWUBp2qIGrixzYmeD7bYuOkPmbITvAz8ACryJKYtwcHDQ+kDbLnOvABmwAjIA1WPHpoFqQgghhBBCnggc74AQQi6ILMs2m02v1/K70GazGQ6H9WepfxB4K3ADuAH0qh5AD/h14DerMtttkUqRHDjrlKl0bBEMpO1rtxsiUEcDNU0bgqmj+IrVGt+LDaQB0fRhMaqrQVRMSVUlrKs4xfKrN4BarH7dOnH0a179L2ATeN9URRK9+eidF1rgxIXm6pb9Wd2uPQVOgZ8C/zfwLbHCFjgF/hJ+sixbrVb9fj9Q46PL3CvA1DoSIQeGfOwYIYQQQgghAHfaEkIuizzP8zxvfaytdrrCn9a9JGPQAPg5qyxsISWaeibticAeUivtIZtSVF9CUW+oi05qi4nIWWrqXEsOqTVqACtQU3VKylDKJZxAvXln1MTqkBxVFUdXR1sXF8Fi9eYLT+wLfKm8rqqfU5NbblOUQKVsZ5Ut+0A4tqaFHFsAg8Gg/kumBnSZu+9MLcd2DfTp2BJCCCGEEPIzaNoSQi6NLsfaHh8fa6crlBYMqt7wUj3tCds00bcN66h7uHaNnfo83KISzUuwA/sVOUoRrElp0ZUDaSBODNTUGUqvD6S+wClWR02sDslRVbFFdbRLC6/sKHbqxOHAlzpxWIw21WOVW2KjzTfFuLGFR3SCbbXf9of+C0U4PDyczWaxKp0uc/eXrO7YzoChv5gQQgghhJAnD3W3FyGEXASj0ejg4GA8HscKdYqi0E5X+Jg4IaGseRvwu6K48KS2XniG5NyAUZsS9LSgV38hjZTEAsSU9FS9f9+rS0lb9L40qqeIThxNA2LiaDrOF2RgSH55O3E0UP9T9Or/C1CJkuhLVl9L9LZh3Vg4ME26uuoG2zPgMfBT4JOVbwtryhnw5wjS5XyDLnP3l6x+iO2Sh9gSQgghhBDiwp22hJBLY7FYaM8TS2W9XmvTHQfHmDXvAqA5SlHDzjfUzhnsicCusbFv3o6d0cKvOBSeJgscRR1VU3WKL0hJW/S+1NZ9QVQ0cTQ1iiPaujraugWWdRQ7dWJHtAO7xhGL+qgvTWytt9luPaNbEfjWtCsd9/YMeAD80HpP7Bahy/kGWZa1nrunZHXHdkbHlhBCCCGEEIWbsQJCCDlHBoNBr9e7d+9erFCh1+sdHBzcvXu3Lr/Ps6X0VeDtwL8JGrJ2nB7YqerY+nR7yIlvaFPUO3dEtSyRnpjuuz01VaeEA+edkaMtel8a0BuJvppGSvpoIgHf0BnypbbuiClp3LhMw7eOentOau4kHPiaPBLBbLYtd9r+FfBAm3UWPYf1zp07s9msnfc6n8+Xy2W7b5L7yAhYAe8AUD12bB0qJ4QQQggh5IllJ58VCSGkJed8QoLj3tonJEhvSHWFUgKHqEUYCGD9AUTPWsFpqisdPh4heniCvBD8acpQiwAxMdonpuEgKqakqhLWd0j4yxuxr3Ypqmn4/0L4Zaqjvv9TgZuHdkumLzxK2Zydto5ja85GOAUeAz8A/gx4KFbYAn+BIF3ON+gydx+ZWofY5sAwancTQgghhBDy5MLjEQghl4nniINUPAcs2F6Sbda8zaoJW2zp1p7PufNZh07g1PSqG3aWte0nOw2IRveN+op9y9qpHJKxqVEDWez0qhjupaiORgMpyjia2ootOrocbYFvwYCixqjHdqCm9iJNmzypwHfoQXRiSplR7F208urbejuzggfCsTVzI0wmk+VyGavSuT5nI2TisWN9OraEEEIIIYSEoGlLCLlM8jzP8zzLslihzvHx8cHBgZCNHVNigpeBl6yysG8rxbA/awLbmXV0We9bxIftFoVFR09vzlyZqkNOLOudIKzbK6hDanFYTA8axb7UVmxRDsnRps23lBTt1IkLEcvVZAptKLGp/qlalrKU04cDR3SmO75t2f4OKPAmZp0zBMmybDQardfrcJmPyWRyfHwcq9p7MmBVObY5D7ElhBBCCCEkCZq2hJBLZr1eDwaDWJVOudNWeL6fsSwVh7fW054wSVPMU7Um4MwGdHisW4dSd16U41upovom+AisZqdySMZOvRrAChzd6QutoPAPqQumB41imaqKEdUhtSZKeIXA/agx6rEd+NILaCmObWCWOt12aR3H1t5aazu2P6weQSaX+isEGQwG6/W6nWmbZVk5PVa432T1x44t6dgSQgghhBCSBE1bQsgl49ktm8pisdA838IK7Pgl4FW/Ueuk6UEXx9YEqnVr7Fpbd5wjVTS6OqQ2WR9IE+PEwKRSVAsCNdAK7NQXOMXR2Jeqii3KIV9NuIXnShGeUWg1gbkmlb3d2vmt4RW2WhreZmtS26KVeiEC49ueAv/d8wK3iHF4eDibzWJVOuXZCFfbtJ0CG8uxHdKxJYQQQgghJBXfri5CCLk4iqLo9/vtjm4cjUaHh4fD4bAufwh4q/Yssh7w28AvAD2gqE/xpYHAThMd24Bvq8ayR/VCAs8Wiz52LKXBnzaK0wPExMQ+MVWDqNgijeoSX6XztaciawJf6upXdeEZKhJ6m/TXK1FfqfpCnF4GJi1itu8ZUFgbbM0jyD5dn1VUju0KQTo+Rmy1Wi2Xy8ViESvcSzJgxMeOEUIIIYQQ0h7utCWEXD6e3bJJLBaLLMvECQl/YrkzDv9UBU2NNtXLK1NpDrYwDdXYRjpWsvmGUggvZaeJcXpgp9DSlD5lnWgQFmVNYNSpcXQ5Gq701ftqAooay6V8Qwj2dmu92VadeB7bbO2+DJyDEU6Br2gvrUjZZtvlNNvy29o1cWxnfOwYIYQQQgghjaFpSwi5fI6Pjw8PD2NVXtbr9WQygYtj0JSU8deqNODbqrEjqtN9zmzYsTWBz7o1adkX2qtL19Vmo75vTuroMk4PfKkUZR8o86XRQIpSl0NhxdHV0RYtfCFHCcfRQF7FWSRQkN5SrF5Zs9V0n3tr18tm+7YPgHueGzhGkCzLDg8Pl8tluMzHYDBo98cHl0/Gx44RQgghhBCyA2jaEkIuH89u2VSWy+VoNBJy+TgyWH1RDb1NFBt8vq1DU2c20bE1yNjcvAlspKnk0xObM12mUg8X2IGs8aVGDDRZH17Z1p3AqYnGvtRWbNHR1YIUwotIUU0dPRrYqex9LcWBTanfanHAqLVrbK9WFR271ji2j4GvVVNgvdKyJkL5Da31Ttsuh+FeJln9EFs6toQQQgghhLSFpi0hZC/w7JZNYr1e53muHbCwrdwW47mUPABeqmLpzKrmqWqtGqWRY9sTgVOjxhLpJRWWWASbXCdQpqaOnl4gU6lLMb1XpyfeQ1Q0cTQ1iiM6Q76CcAvPlbovRT32BWoqh+zebom+7dZfqepbrZeiuo6cZTdzNsLLwDc9L/wMMSaTSWvXdTAYZFnW2vC9NKbApopzYAgsvLWEEEIIIYSQMDRtCSF7gWe3bCqz2Uw7YME8Pgh1wwXAW60y6Y2m+La95LJAigTr1lCIAB5XV3pMgYLEuXYqdV+BT1Rr5KgUfX3KCoGr2/VhsYwDqaoYUR3q0nxrOqJM1aXUUTWFNuRrAUM2ZVSmAUNWrmyaVFTHtgxOgQfAI8+y/wNBOp5I2+VchcshA6bWIbZrHmJLCCGEEEJIVwJ7uAgh5ELZbDbj8bj15rKiKHo9+T3to8BN4AZwo3JCTfv3wC86a/jTQgROmmLR+oxdO3DiwOgN8Yu3ntbkC09sckE0iWVgYl+NmrbuE1M1iIopaUBMHFVxvgKjo42+qqOB7MND3QncsNPL1Gmlvq33jl17Wh2McAr8X8ADq9jUn0ZN2/l8DmA8HofLVLIsW61WXb4ZXjQZsAKyKp3xSARCCCGEEEJ2AHfaEkL2Bc9u2VQWi4W2V/dUuDao4jdEcQsPbrdeYU/EtlJiXkWv7mf1qlH1xbZoBnVBJy5ErI6Ga5xKtOrV6b5UDaJiGQdSoziiM6SORlt4utQdRY1TAmdN39AO29ZyS4u6c6r20Za4zfYMOAX+GXhZe41J22wHg0HrrbLlI8iupGOb07ElhBBCCCFkZ7TY40MIIeeFZ7dsEoPBYLVaadM/Vm1KlXtO/0BYn/CnTqB6piZo59g6gUo5erOeOkFiu2HdXrShSdwiUNOAqPZhMarbQWIcTaP6TnC+aFXRTtXYF9h9OFXrWyDnJl7O9LJBOLyBbbY/BZ6zttlureAsatqORqODg4N222wBrFar2Wx2NUzbqXUkQg4MeSQCIYQQQgghO4M7bQkhe8R6vW59su16vV6v19rjyM48LlIB/AAoYqZbosFnK76ClKXC1l45an/rLrTAZ1o5hHU53VlK1VsHamrExKbOCl9IDRxRjaOpLUpdFkTxrRC4tC9VV/NdAvVRJ915k9tmt/4hqW89ZSkbbM022xx42XOt+DbbyWTSeptteRjuFXBsMzq2hBBCCCGEnC80bQkhe8RyuTw4OIhVeVkul5PJBC6fqdwW1M0XAC8CrwKI+bZSdwLHqw3U2KkT2DUOZc2Nqne2DKuLOK/UUcLNoOp2KvV2QSBt2qvTA9dSC8JiSloqUrSHAgXtZsmhQApNDA+p14Xo2zVjoUpdDbZ1UcayOYuo7m15oMoX6mVm2TPE6Hi4wWg0aj334siAieXYzvjYMUIIIYQQQnaPzyAghJDLocsJCfA+zewjwFss09N2PN8N/HpVVtRn2WkhAoeoRRtI7cDgKGai75dt6po7aXIpxOIWgZomDiFN9KV2EBWdWKaq4hO7o35BSjH6xSzFIjl1elmpvnbffyWb8F35ru60UnesXuPG2htsT4HHwDeBlSgrg/+OGF0ON7gajyDL6ofYLnmILSGEEEIIIecCd9oSQvaLLickAFgul9rTzD5dt2/s4EXgFVFfEjbyAsacr8aXSt23eOCbtmOB9Sqxe4NYylZQ11sEgRTakNrUSkf0XRHJoozlmo7iE3fVEq8ILW5xV+qygWuVzbfvNdy2nkD2hYijV3ccW9NeBr7geWe2iDEYDLocbpBlWZdduhfBFNhYju2Mji0hhBBCCCHnxTlt/CGEkJaMRqPDw8PhcBgr9FIURb/fz/O8LpvNtvJxZIHNto7iG+2JXgbhVMY2pW4ePhaocQIndprvmAVfkwXQhqToC8J6QFT7FLFpkBjLNCAmjqrIr8DwqO+rV42dIFF3eiew6xsRvrrvTmSDsHele3ta7bR9DDwPfNFTFjnNFt222QJYrVbL5XKxWMQKL4MMGPEQW0IIIYQQQi4O7rQlhOwXi8UiyzLteWKpLBYLbfqn61aO7fKYk22h+WhR3y3s1qUbiL4LlUM3q8DX5BQb+1VLMTpkF6jvIYJiYEG1AMFZvqbOcsRGgSOquprKekf3jUZbeK56G9E4cC21OGVul2a2wRbBPbaFGJIbaVXdafbxCA+Ar2nXLYMI3bfZZlm2v47thIfYEkIIIYQQcqGE920RQsgl8OjRow984AN3XBBAXgAAIABJREFU796NFeo8evTo6OhoNpuJkffV95bCip8C3l6VSfNUeqySnuhlEB6V9KwbTvwdm7q4/XoT6fmLHV19FeF3QA3U1BZTenWKIyYGPtFXE1DCeheKNN1O1TgaBFJbKURgz0ohcHuBOynEpZ2merjOabanwJeB79YrTfBZxJjP588+++y9e/dihTpHR0ddpp8jGbACBgCANQ+xJYQQQggh5II4j8+QhBDSFc8RB6n4/8r4Y8BN4YSW8W8Dv2hVOjaT9JJ6dTFgI6akDs46UcfWZx2qpmTTps6CJ4UQ5RCCBWraok9M1SAqpqRRXaXXxOIsUeujX8DtAjUtgoGpD78PvhsuRC9FOygsRd0w6zi25mCEHwL/pV5j2inwdwhSPkOs3++Hy3x0nH6OTOtHIsyAhbeWEEIIIYQQskO405YQso9kWdbv91v/oXGv1zs8PFwul2Lk/WmbbRH04+y59qjswzV2YOOMqt+oe/Umh0wMkTZFXgL+9ydQ6avx3a0UU3pD+LWH7yospqSq0rTAxvE0UwpsJRpHg4CLWmipM8vWVdFRTOz0qljUm1Ec09bZPGvc2zPgMfBZ4JX6OqbmbxHjzp07eZ63/vuAjtPPhQy4LQ6xXXvLCSGEEEIIIbul0SdGQgi5IAaDwWq16vXaf4/abDbj8VizfZ3NtnZzNtui7iXJtFQcg6/nNwR9qUFahDc9lRK1Rl7Iub1GTU6BJ40GYT0gNup9adPAiaOpqqQMpSC/CANDjhkq40Bg4rBbirpValJnrhOrBO5QvU/nclLZ1mNj2jrbbH8K/BD4f+uW7pm1zfZzCNJxn2w5fTgctv7bgt2TAfPqSAQAMx6JQAghhBBCyEXDnbaEkH0kz/PBYNDr9Vqf8Pjo0aOPf/zjCZtt7QbgHfXiRt6cWSRsFDqjBmkR3qhuNUxP1PSEaCvRBX2E79lOo4HU1VEphnuH1rfn4FtHDqlKWG+HzwB1dF8asEcDQaAPBAbfPctR9bqqbjepqDtt7Q22p9XZCJ8FXqtXmvrIwQjofBzt008/DUD7ZnVJZMAK+H0AQA48S8eWEEIIIYSQSyB6TiIhhFwOy+Xy8PAwVuVlsVhkWTYYDMTIp+v77+z2MvCSqE/04BL9wZTVyvhGwrfonnZdn+IYXlI3o4EmC+BJA0FKGhADDQkrJ96h79LhGnUW/Ku1br41EUzDOoKjrZu9xTU6amI7KLRALrsVQ45La9u1Z5Zv+y3gX+rrmP4UMQaDQZZl2gnaSWRZNp/P98ixnQIbIANQHWI7DVQTQgghhBBCzouoI0AIIZeD33VNZTabTSYTbcQ2ehxeAZCwszKw11IdSnR4Ya0f/f4ctmt7moFbVEOov/ZCvCGFv8lRXz1EkJ6qayLY+66upuGGhnHgEk2va4gWJ14xulSgoOlSjZrPci08/qxUpEUbTs/qByOUju3LwPOeezsDPo8Yk8lkNpvFqrwMBoP1et36/O5dkonHjg352DFCCCGEEEIujagpQAghl8ZsNuu42RZAcLMthFnz4+qvpANIK1Y6uTbhMjmr1/DhY+HUFh27tqiGIN4HaKI96hsKj6IewDMqxfAV09dEkyAxLlNH8YmywMY3Gl4kMBooVifCMxqdqLatR9yKoa2IbdfVNyRX22rtTKT2wQhfBd6oX8hURo6yxS622R4eHnbxfHdGBqwqxzYHZkAfyEMzCCGEEEIIIecKTVtCyP6yWCxGo1GWZbFCL8vl0rPZ9sxygmwK4OvAqwnWakDviT5caac98Z1ZurTOkC+FZ665MenhOs2nF0KPlsnATlPERi18e9G7kqIvTpkrhxAs8E0JjEaV6PothtKb7ZmqQ05sK3LIDtRUbWeiPQYeABtxFdMiZFk2mUzG43Gs0Ev5ze3yt9kO6kciLHkkAiGEEEIIIZcPTVtCyF5T+raxKi/+zbafqZwa1C2kkgdAkezb2jTydh16VrOVQLEvDShGNC/WLoDmuKliuMwXB5ZF7FpI6FMuEW4p64SH4K8PDKW08MrhidE4canCsji7NNtvLUQcUKRF66TSqN1qB9qeAgXw9/4b+3vEKL+xdLFcOx6tsAMyYAqsqjQHhnRsCSGEEEII2QtSfARCCLk0BoPBarXq9dp/sxqNRoeHh8PhUBv8w+p5XzfqnmYP+A3g3UAhphilJ0bt6SaAJ5Bxmd4UQxLfIjJNEdXVevUmFVX3pb5ATQNioz4xVYMWsU8J6+2QX5aqbqcpQ06gpoVIHbHwiKbYIeVOoC0lY6fZrq5t2pqDEf4R+HK9cmtZus8jSJZlq9VqPB63Nm0Hg8F8Pu/3+7HCcyMDJsCoStfAmEciEEIIIYQQsi+oxyYSQsi+kOf5YDDo9Xr37t2L1ercu3dvNBqdnJzkeS4G31/5g44T1wO2wK8GvTbb6ev5A7syEN+oeudmJAHTUKbqalJ07lOdkoKvzLdy+DY6Er5WmJR/Mkn05e+QqAEaTlOs0oBhqorhQN6wLcpZCN6AczNbSyybugm3dGPL/l+Bz3lmnUUdWwBPP/00gGeffTZW6GU+n3/iE5/Qvi9dCBmwAgZVOgPGwEN/PSGEEEIIIeRiOY9PkoQQsku670cLrvAx4GZ9p61pvw38EgDhNxXWN08TF9ZEWAE8rp8t3qiUG8FvywH3MJyqihzy3ad8XQERsdgJ1DQgBvqUoaieIqakAXFXSBtUioFUeqMmlj2ET2p6NZA1zmqG9FsKrB82bcsDrE+BbbXN9qfA3wDfE1txSz83fjDCld9mO62eOQYeYksIIYQQQsiewp22hJB9J8/zp59+ustm2+AK77Os0p7VALwM/ALwb4L2nLQCZWAj3cAUx7ZXH3LiQKoqtq7enrzJdHz36RPDN9CIlLkpK19kjcEpluamStgDlUo0Lpr0Mk0ZMhRW6sROjbOyXNwxbeU22zPLsX0MfBv4hjXLLj4FvosYd+7cyfO89TbbLMvu3LlzOdtsM+B23bEdAs/56wkhhBBCCCGXRKOPlIQQcjl035WWsNm2p+23/RUgA3p1IymAsUHtwB51YvM0yJtpFidiC9qkKOqouqz9upwGf6rGTqCmsrfTcKWvLEWPiimpqkiiNdGvOrXAEQOp9EmLJn2XwKDeD6x61OdKRTq2dm+20JbtMfAy8DfAG3Wv1hxl+3nEKLfZDofD1pZr8KDt8yQDVkBWpTNusCWEEEIIIWR/4U5bQsgV4Jw3274A/J5mC6Jydn4pwV8r6dXX8Vl7TuA7yjagOPXyQlHFGQrfauLLb4e6eE/06aNRAlNSVvO9VwGlaYHBsTgTRxsZoyZQU595qqbhQF5FjkJUFvXmKOGDEWxD1jyC7MvAg3qxKXsMfA8xjo6O7t69+9xzLbenZll2OafZToEj4B0AgBx4lo4tIYQQQgghe03650ZCCLlMBoPBarXq9dp/18qybLPZ9Pt9zSv5aHWyrbPZFkCvOtzWmEoBnIn23co4fDBCQPEtK1NV8YlyNHD/8l2KpvCLatqiTxGbBk4cHgqIiaMq4a89OeoovtQJ1FTtA4HUC0uBiB3kPThLOUPRgxHsXbSPgReBz1sT7YKfAl9wb0cwGo0mk0m/348VermEbbYZMBJHIuS+akIIIYQQQshewJ22hJCrQZ7ng8Ggy2bbhw8f9nq9D3zgA3fv3hWDzmZbg1Hekebc9awpPU9NGdsHIzijMrWVRDMR/pfjMw19o86lfdO7EFiz5+lV1KHA6w0XqESLm95eCtLcjI46op1Kz7QQvSqqtmlUdxrqMYQSrreVwMEIZ1W/BU6tgxGeB06tetvY/QfEyLJsMpl02SR7CdtsM2AFPF2la+APgIf+ekIIIYQQQsh+0PoDJCGEXDTdN9sC2Gw2nme+fxh4S3W2bE88nazcbAvLaepVsbmfou572gaoc8+9yrRVD0aQL1BdxxfLVFXCuhxVY+fFypfvi32Bmib27VI18InRVFVShqLYFmfiqOOKytgJGvUykLoTy3XswBF9y5pUPRih0PbYlo7tDeAvgIf1SuPq/hS4jxjz+RzAeDyOFXqZTqe3bt3qskIzBsCqinNgySMRCCGEEEIIuTJwpy0h5MrQfbMtgPv3708mk+VyKUa+BLy/cgxtw66MXwa2lW/rDDlOn6OrNTdEYONLVUtRxnK6qkjdQY7Ki4ZXuGAS38YUfMXRNQNXaXQDPmyLMzrkKNInVf3TaJ+YygZt1OAMyTJH9G2ztR3brXWU7VeA79Trt1ZB/FvKYDC4fft2l2MNsiy7c+fOeDx++PD8d7pmwG1gXqU5MAYW3nJCCCGEEELIvrGTz5CEEHJB7GSz7Wq1Wi6Xi8VCG/xD7WTbsv0KkAG9yjwK+Hq2oSnNTbOH1/zaTJqhMvXVpMwNKClDSLui/V4hFkcDxER4RHWodRCIZaoqYb0FttEZHpKWaEoQ6FPEQsROg1UvA3VxE/uaMXDPrOMR7IePPQA+6zF2T4HnEaM81mA2m2mb9FPpvlE3lQxYAVmV5jzElhBCCCGEkKvHDj9GEkLIRRC0XJMon0jmcX4/BLzVOiTBab8N/CLQA4qYPdfzOInqw8eiFmFU9NUEFJ/oI7C+fUv2Cw/E0UBNA31YjOopohNH06jemgI6jm6niW6pkzrmaVi0gyKmmB5CCawvl9pajq2zx/a08mRfBr4IvFo3bU3NT4AXEGM0Gh0cHHTxW7MsW61W/X4/VtiZATAHMgA8EoEQQgghhJArzM4/SRJCyPmyk822wZMlPwrcFPttUQW/AbwbKGIOnT0FVrExbdtts426itFUVSTRGud1yVi+dfI9CQRqGu0T03DQIvYpYb0LtuPpE6UrKgM1DfThISdWG6xZvqVkH2jq/lmzzfYx8I/At0WZOes2fjBC6bcOh8MuTw/r/tumOBkwAiZVmgMzHolACCGEEELIVeU8PkkSQsj5Mp/PT05OptNprDCE/4lkAD5WbbZ1zkkA8BTwH2LfPH1uo9FvNvEKw5XOnbRzFcNDkug9o/56ZRwN1DSx96VNg0AsU1XxiTuhgIItSofUxC3M05Qhu0nFHoIIwhdSm9xjaxuy5ePFvgl8w6op6mfd/gMSWK1Wx8fHXb7hDAaD+Xze7/djhR3IgDkwqNKcRyIQQgghhBBytTm/D5OEEHJeBM83SGU0Gh0eHvofK+Q73BbA71SHJPgwjmFPpGWzHwIZtQjtRdQhGUfTgKgSrvRdy34HnDchMAp/mtgnpmrgE301AcUn7ooCLraixlHD1BFV/1QtsINAk8v61nQU2aRjW4iHj70MPA881rbZJh1lC2A0Gk0mk36/Hyv0Up6He77bbAfAykpnPBKBEEIIIYSQK8+NWAEhhOwdeZ4vFovyqT6tKQ2U0WjkGT/zu07fAF6yrCVJIQJY/l3KN16fb+gbCtiLMoXlh6r0RAtXqmkZ+By37i2wOIJpu2XDi6ijja57KW3rF9Uhda5qngZm2WVbrdn6WSw2JyFsrUNsHwOPgZeBr3gc2/JghDhZlh0eHnY5yhbAYDBA9Q1n92TA1HJsczq2hBBCCCGEXBPOdRMQIYScI8HzDZIoj8ft9/ueoyo/Vm229R1u+5v+76JOsUlvCtPWMT3twEnDxTKWqaqE9SjhK8pX5LwzvkBNG/W+VOpqTWLsU3yiilNZ6FUuTpkvjQZ2L0Wpy4JCS50mR80iqKe+pYyo2sRndUP2FPha/ShbuybpKFvs4iSWnZyH6yUDVkBWpTmPRCCEEEIIIeT6YP+JLiGEXCUePXr08Y9/fLlcxgq95Hne6/X8i7wA/G9+428L/JoQDWaWYyberBc7ExPdRjWAfzWTqvep6mqN2tR6iFE7LuAlMNSU8HurDvnE6PuTKEp8ZdH3QRbYihqrDqmTNuoLEctUbRBBYpNbcaVjWx6M8HXg29rcsuwLSGA0Go1Go2eeeSZWGOLo6Oju3bvPPfdcrLA5U+AIeAcAIAeeBZ4BHganEEIIIYQQQq4OKX+lSwgh+0j558blnx63ptxD51/kzNrWZ1tOAF5P29JWWMZc+PdkPldR6ikuYTiF33I1QwFbNoCpN2+Ukzo+mhNIk07Vr0dDqyG1Rd9A31u91cRo29YX3IqhrdB9BU5xYMh2Zu3g1PJqy4ePfQf4Vv3VmXYG/BQJZFk2mUz8Z14nMRgMsizrslFXJwOmwKRKcx6JQAghhBBCyDWk6adxQgjZI8rzDTo+kax8rFnfe0jCR6szDXqiIfhQslK8WcU9a5utar86oqxxdLVGpvLeAnfblJRZvpsxLycQqGmj3peGg8Q4XZGEa4omo77U1h1RTWUvRTtw4rAYqHEuFFhkawWOk7utTNtXgL+3im3Htjzu9ouIsZNHh5UHI3Q8wkUhqx+JsAbGab8/IoQQQgghhFwpeDwCIeQKk+d5lmVPP/303bt3Y7VeHj58eHJyMplM/Ick/B4A4f2V8QOg8Pi2pXKjim8K/zEliBakx7BuICqqNbKlzJJxlAI1nDSRdrOakv6ibAKzitidh98cOy1igewDQ6YvRCxTVdzW03Dbinrp2G4t07Z0bF8FvgicevbYnqY4tgBu374NYDabxQpD3L59++HDh88++2yssAlTcSTCmEciEEIIIYQQcj1p92mTEEL2iKIohsNhx+1sq9Xq+PjY/4fMf1httr1h+Y/Gu/wN4N1iiuNv2ttsbSvTDnx6oCAxlqmqpAw1InwP8m57WqCORvvEVA0SY5kGxJ1QBBU19gVq6hPVwInDomnb5ovb7q3PsT0DXgVy4PtWgSkra5IePjYYDObzeb/fjxWGKLfZdlykRgaM6kcijIG1r5oQQgghhBBy5XlLrIAQQvad8Xg8mUw6mrbj8Xiz2azXa886p8BbgBuVlwSgZ8WvAEXQqnOGnOKox5e4crq3uCursekU54WXb2DPigPFAbFFzZVDvj+OGI0Lqw+naq8GhUdx0q2IfSv71jdzpWN7Vm2t/a7HsS37JMe2PMp2PB7HCkOUpyt03KhbI6sfibAAOt0gIYQQQggh5ArAB5ERQq48O3kiWZ7nw+FwMpl4xj9TuT+2/YQqUB9KZrzIwu9LqvRE4CvwiU4cdWxljaSntUbYb4iNnRb1d9jXZM3Wo0sxsH7KpVOmtFin41Wi8VZLw+v7Fimq/wjOhbZagRHDBYF2pjX74WOPgTPgJeDbnlsqy5KYTCbHx8cdfwNUfi/qch7um2TAFNhUjm0OzOjYEkIIIYQQ8kTQ9CM3IYTsIzv5i2bED0n4aHXKwQ3hXfaA3wF+ySq+YQX248iQ1svAp9tBIJapqqQMdSF6S7Zu+pR3LPpOpryB6rsXvufwS+hIkSDaqRo7QVh3+nBQ+BXZtkKBP3aKpflrDNwCeBV4XnOEjcObdJTtaDSaTCb9fj9WGGKXzx/LgDkwqNIcGPKZY4QQQgghhDwp7OQjJSGEXD7z+fzk5MTvt6ay2WyChsvHgBvCtDWe4P8OvBVA/e8YblqPI0NDC7J1IFP5DV/9EdDi50KjKaUlF7hPX9rofXPekHCqBoE4miYOhSnSdDtV42igpoUnCMQylS6t1AOrbSvF59iW8WvAl4AfWyvbZafAfSRQmq3D4TDP81htiF19I8LUOsEWwAyYeioJIYQQQggh15HWHyYJIWTvKIqi3+939FwSNu36fNvyO+q/Bd4tTFvbcJQBhAh/0M5nTDEZoz8RogUdCd+k+kbJPkVMDBJjn5I+alM0GbIVNU4PnF6mibHTVN+2dGPNEETgnHJg+rOqP6uU14AXgDfqlbaxm3qU7Xw+Xy6XHc80SPjukUAmnjm2pGNLCCGEEELIEwfPtCWEXB/G4/F8Po9VRSifRbZarfwlZ36LCsD3gO9WsUpRD9RK1UCMkugwqoaj70I9q50TZn3nrSjqivNWbz39xTR5rW3wBrb1ljgUvWI4loGvRn0bbQ+0SIjV5hs9s+aeWaK9hdZWzDm2j6vHjhUxx3ab6NgCGI1GeZ53dGx38hAzZMCq7tgO6dgSQgghhBDyJELTlhByfSg9l+5/mFzaLv4nm5mHkhWe9l3gO1a90W2cNKoHTNWwmOLYSroYtT2tBTBvjnqrzlvne899betJU4JALNOAqJaZllgcUNQ45fa2/t4XyFi9ivoCy/SsHsj6s3qzlVOr7FXg60HHNvXhY6PR6PDwsKvZCszn804PMcu0Z471eYgtIYQQQgghTyjtPpATQsiekmXZZrMZDoftrRMASet81HNIQqk8BbwD+E0AHgczJYA/CBQkxumKJKWmKQWAhvejvhW+3peqQWIs06jeiCJBtNNCBKroBIUVqGIgtkW7+cxc31C4+Mzqy/Ya8A3gUb3SsX2THj62q6NsS+d3OBzGCj1kfOYYIYQQQgghpAZ32hJCrhV5ng+Hw8lkEiuMUK4TPGzhU/WNhKhbTq8DD4VF5VCIwBkKu4o+0t3GdIe0V2/ngW9l9a2zh6Im4NaTBoJGq/kMSt9QdH3fXEe0UycuRKyuJgtM7wS+S2w9TQ6d1XvnGAS7xi4wpyKcWnf+GvA94JH/Wtt0x3Y+n4/H446ObdeDEabAxnJsZ9xgSwghhBBCCKFpSwi5dpR7Y7sfkrBer5fLZfBw20/V3SsARTVUAK8DGyEWVmpENe5OwF1V7Vq1/vxc2kbI902O2n6i3TtDUo/W+NYJKPaQ3aI1gQLfFVNiZx2n96VOUNSDcCv8lUZUT0I41bxde8r3gG/XRbudAff9XypvUjq2nQ40AFCtM5vN2ji/GTCtn2A74wm2hBBCCCGEEGA/PooTQsju2Ww24/G4ox0DYLVaHR8fBy3gjwI3K3PTOTABwLuArBrqaQ0iMLHTBwKpJ8Y+xSdKEst8FLECie9uCyu2yxq9kyliQPGJ7VDfHEf0pbZeaEOm96WBgvTmmLyOaMewfFin3r7uN4Fv1+e2cWwBzOfzk5OT7r/dmU6nt27darPNNgNWQFalOY9EIIQQQgghhLzJDj9bEkLIHjEYDObzeb/fjxXGWa1Ws9ks6P9+rPJk7b5XfY+Vvq1TYPpePYbWJwY+MZqqSsrQDik8es8aVe/ELjCp8z6c97sX1lPwvXypO0ohAhPbvZ0WnjSgN2q2DytTX1w6sOYGzKzc49gWlWN7D2lMp9ODg4P2R9BWtPw+kwGj+gbbJTfYEkIIIYQQQmp0+VRJCCF7zWq1yvO8zQ64OgkPJfsQ8Jb6NtuAb6tuuYUITOz0TYNALFNVCesXQFFPzZ0U9dSpsWft8A2Uqaqkj5Y4rzE65IhqasQirZeBM1rUR41z6ujSh3XcWJ9RawJ5P7Zju9X6Bo7taDSaTCb9fj9WGMEcjNBsR3/GDbaEEEIIIYSQOCmfJAkh5Kqyq0MSEvbTOb6tdGZ/Bcg00/ZG3VI0OuqB6VsHTixTVfGJYXxTCo+ejlnBvkSRfJMpb5TvHWv37nXB93Y5up0WniDay8AZLbS0qHusRrEDx7G1A3vUaebqZUFunWPrrFyu9gWkkWXZarUaDodtjqCtk3B2Sp2svsEWPMGWEEIIIYQQ4oUPIiOEXGfG4/F8Po9VxUl4KNmfVE9Mcowq014GcqsAVl+I1QoRGFRvsQWJnmP4Kj1Pa1ofnmVjim13z8yVb5eDmSX/gVQb0RcXdefRVqTeqIUXUS8qY9vNLBJ654tWjm61VBXPRFB4dBM7Dxwrqn+pcug1YAN8q34t5/YaOLbz+Xw8Hnd3bEejERo98DAD5nzmGCGEEEIIISSVm7ECQgi5wuR5/s53vvPw8PDu3bux2gjr9Xo0GvX7ff++3S8B76sMRLs3vAH8BPhlzygs77JXjyFSO1DFcJkTyxRBI7UXHG1NT7SUYgBF/c0pYnNtjEsILZCxnaqKrRf+gqaV4Uub2A7U1BnyFfhqwm0rgkJ4uyawvVd4rvsj4PviHFtn5WaO7fHx8WKxiNVGKJd65plnHj58GKsFAEyBIyCr0gUwBp7zlhNCCCGEEEJI+sdaQgi5qiQ8SSyVhKU+DNysjkFQj6/9FaBvFQDopT2aDFYKLUC9OFrmS1UlrF8ABSKUBfYdFsk3XCS8UdE3zSd2RH3hRXLQonecU5/itKhja9Ky2Qs691AW/wj4Qf1UBGfZZo5t472xHkrHdrlcJpm/GZ85RgghhBBCCGkDd9oSQq4/Jycnq9VquVymbovzc3x8fHR0dP/+ff+fV9v7bVEFhVXwY+AnwDusAukG9vyB09uBHAqXJaZR3aGX3BoRnWiGCi1FfaKpMUOmzP7HcuJAaovqUFPUdRzRFxRW0LS3g/TWyLEtL2F8W/tyJn4N+Gfg+/5rNXBsAdy+ffvWrVuf+MQnYoVxbt++fXJy8kd/9EexQmAEzIGnqzQHhtxgSwghhBBCCEmi6WdmQgi5kgwGg8lkMhwOY4VxsizbbDbD4TC43/ZDwE3gJtDz77f9X0WBs98W9dQOUK+JBomxTANio4J0iliBTaDYDPXqKay7laK6YPQtCrz8pu+M7xXZuho7gZpG+0LERYJe1M1Zo2y1IRMErvgj4J+BR/4LnTVybKfT6a1bt8bjcawwznQ6PTg4iH8nybjBlhBCCCGEENKJph8mCSHkqjKfz7Msi7stCQwGg/JxRjvybX0HKSAWmB71WAY+MZqqSsrQrihiBSWBssQVAhQJ75JP7Ihz83ZaxAJfL0U1cJpP32rp1u/VRtd8Dfgq8GNttPGpCACm0+nh4WG/348VxhmNRpPJJL7UAJgDWZXmwBDIfdWEEEIIIYQQonAenzAJIWRPSTiRNpXSt43ZNx+KnW/7FPAe4Jf9BcaZlYHTh4OoqKaqkjJ0ThQdCqJzbcpi+wWq09V3oPvbIq/lKEUsUFPfkGOe2nFYLGKOra9+ay3orPwa8BXgDe2KbRzbVJs1gSzLVqvVcDj0H40CZNxgSwghhBBCCNkN3T9bEkLIlSHtZINU0o5ciPq2bwPeCbwH6FmPJgtyMPh0AAAgAElEQVQ8lwyabnr4Yxk4sUxVxSeqBCoL/1CU8NzAaHTIvuFocUngNSa+Ub4LObqdytgohehV0TZMTeDEPqXQbFnVqN16YrWVju1PtCu2d2wjNmsaSQ8fG3CDLSGEEEIIIWRnJH6eJISQa0LaDtlU0g64jPq2PeDf1X1bWQCrl4Hp4Y9lEIh9ik90SKnxUcQKbMLF6mhgijPUa1K8K+SytqLGThDWTa8GMnWGigTv1VdsH5iAar+tKfg28G3PRds4tkkbY9MoHdvj4+PpdOqp4AZbQgghhBBCyI7p8rmaEEKuJGlOayppR+V+EHhLzLf998C7dnFOgs+H7YkgEMs0ICaOtqCIFRgClepQuujQ9EJRfLMc3U6LWBDWpTFqx76aQrNrIRRf/VYoqNLXgAfAi/6LXqZji+hzzDJgBWRVmgNjYK3XEkIIIYQQQkgiN2IFhBBy3Si3y3k3zTWktHJiq/0pcGrZT+pexW8AL1qjqNtbhqIeOKPnygU7thCedbQyfcgnqhSef4vAkPz3dSxI+ZWg6nYqY19QWIG8YrjZU86q/sxaNuVlmkrntcvbCzi29l01c2zL5wTuxLEdjUaHh4e6Y5sBU2BTObY5MAP6dGwJIYQQQgghOyD6MZgQQq4nO3woGYDVahU57xKo77ftaTtqAbwL+O36nlwkHHGr9nYQFZ1YpqoS1s8JxzdML1D1RFGalT0r9pVJPeVygVRdR4p2YJxQu3fsUVWHNqqmatuK2JjCZvprwNeAN8TKtrF7BtxDMqVju6v/2qEduwNxgu2Ydi0hhBBCCCFkZ9yMFRBCyPXk+Pj4C1/4wvHx8U624y2Xyzt37vR6vXv3AgbTPwK/W/2Jg+OuGn4MvAy8Dfj5qkD1Uh0HVjVwUZ/byMCNplE9hXZze9rbIgsSdZ/YDmdiESyQo0UwKOqBKjqBbNt66kyJXshOwy1QBmAL/Aj4KvATf9nlO7bz+fwTn/iE+586A24Dc+AdlTIDnuEzxwghhBBCCCG75C2xAkIIuZ7keT4cDnf4ULLhcLharQAE99v+RwDARwAAN4At0BMn1bwOfBP4VeC3qjIHx/jrWYHd7xs+I1VSaKLEzFXrzduSovdiSjhNuWH1TowoAwSXLeoFheh9qYMstoNAXNR1s0jZ7K2y6qwXrceOyWYOZ7iPZMpdsePxeIeO7fHxsbvagBtsCSGEEEIIIRfBHn6qJ4SQi2O3DyUDsFqtQk+Zf5OPxJ5LBuB3gF+N1ZheBqa3Aye1dV+NmgZEh5SaALYnGCZQqQ6liOmpLw4XyEo5VHh0X02LPjFIb1uRGsU5xFaduwUeAy8gmd0+eSzLstFoBOes6gwYAZMqzYElYI0TQgghhBBCyA7p+FmaEEKuPKvVKs9z76Phm5O84IeBmzFP9l3Aey17F0DPCgLWrdobVK9256btzn/EFLEC+GtUPUVMT9XYV+Ar89U4BWoaEAO9GgRin7L1KPaBtq8BX68fYivrzxo9dgzAaDSaTCa7cmwBTKfTW7du1f4Lj4AJkFVpzg22hBBCCCGEkPNF/tUtIYQ8WQyHwyzLEvbGplIuOJ/PY4WfAU6Bs/o+RKc9AO4B36pqSkwAyz6TqezDpNTYXLBjC8uVblGj6j4xPY3iqy/Ev1qJqXe+ElAP5ERD+GvA6X0BrMDodpNfsWql7dh+G3gh6Nhu99GxzYCpdSRCDsyAPh1bQgghhBBCyPnS9MMnIYRcT1ar1XK5DB5H24zk/bYfBN5S329rAljBe4FfA3rAzUq0G0SvioamsUxVJWVoh9iuYvqoqkvRURwHM2WoEIEqBgJVV1PZhwtkKodk7CtT99jadu2rwMueIxHs02+bPXYMwHQ6PTw83K1je3h42O/3q9w6DwHcYEsIIYQQQgi5OLjTlhBCAGA8Hh8eHg4Gg1hhKsn7bf8UeFzfb7sVe28BfA34ijZkCkqkp+b014mwNdzzFKSLPhoVo3m9QVqc6r+vb26gt1NHsQOnwEHektOMY/t1zbF1vuAv37EdjUZvOrYZsKqfYDvjBltCCCGEEELIxdH6kyQhhFw3sizbbDbD4XAnT58vSd5vi9ijyQD0gKeAXwNuAb1gWWIPEQeG5M+LwE+QC/7hEvAufaNSjCqOlRkdCovpQUoq+2iB6dXAiWWqtm293wInCRtst8Ap8EU0wd0S25k3j1lAXnvgGIAcGAK5PpEQQgghhBBCzoML/lxNCCF7zWAwKJ9Bv1vfFsBwOIwVwno0mePJoh6/F/h1rSzs25pv+I5vm2jaylRVwvr5UTQfkrqjpKfRWAaB0bAeEBsVFLGgSBjairRUzoDXgB8AL4kpZpapbHaIbZZltS2xuyDLsvI/fo4cKyCrBnJgCUy9EwkhhBBCCCHknODxCIQQ8ibr9Xo4HCacadCA8s+3S+s2hvNoMt9hCF8Dvgycaa6Zcdac3g7UVCWlZk8I2MTpDnLYpE5fJ8BOFumO/KqwA9+/eyGardubZ18DvqI5ts6RCKftHNtbt27t3rEdD/NRjk3dsR3SsSWEEEIIIYRcDjRtCSGkxnq9Ho/Hm80mVtiA8Xh8fHy82WyyLIvV/kl1xO2ZZsga5QHwPPAvHmMXdd/NEe0hmQZIr7wUmvq2Hf3TwJZkSbTgwgj8I6pfM6oum9k2+yqQA/eAn3hqttWX9+Omh9iW7iqAtPNGkigPnh4vx/k8V06wzf0zCSGEEEIIIeQ8uRkrIISQJ448zx89enTnzp3lchmrTWW9Xt+/f//o6Oj+/fux5yZ9GfgS8P5gDYDHwAPgNeDngJ8HUDmDjisnvUXZq4GaphT4xD0kep/RAkmLKWFUmzXgvSbegO3JqrFTbIacwPzC4Az4HvBPwMv1KXbNtjJtvwB8T7uQl9JdvXv37nQ6jdWmkmXZfDWfPZytR2u8o1IXwBh4LjCPEEIIIYQQQs6dxI92hBDyxDGfz7MsSzuLNpWGZ+Z+2P9oMtSD9wL/1jrlFvVin1er+rZRTzZF8Ylh7CkBUzJMYGKi++kogTQah0VfkJI2En2pHQRitTnn0r4KfN965hjqZXblWdMNtqgeO1aeNBKrTSXLssFqsMgWb0o5MAMsgRBCCCGEEEIuixYfqgkh5ElhtVrleb7Dv8VGtWHw+Pg4bcPgB4G3aKatdG+fAn4HeGeVSusWsV6mthhQfD9Kmv6IceoLvSpCYJY6JEVHCaTROCz6gpQ0USw8qR34YhMEjuk4A24C3wC+JWqc+rI9Br6IhpyHY4sM2SrLs/xnac4HjhFCCCGEEEL2i6afqAkh5MniPHxbNF72I579trZpWwbvBf5dZdr6igO9TJ3YJ6bUXBhFk6GoEkijcVh0grAeLo72ahAdLdtWS0sT9lXgG8ArYoosPgP+AQ0pHzt2cHCwyw3vGTDCm8fXonrgWK5WE0IIIYQQQsjlwAeREUJIiNItKh9/tEMaLvvp6rlkqn1mt68CnwNOtGLTYPWOApEmotY3XeRSuCxnOcqu3r3CH/hG5ReMGTIm7KvAN4Hn/Y6t2V17Bpy2c2zL/yC7dGxHwAp84BghhBBCCCFk/9nbD6uEELJHnMf5tmjzd98ftQ6uNVti1V205Zbbm55i3+5aqaAeGNQfH76fKRf8syZgd6aYy+lpNI7ao+l6Smp6X2oHPlFt23r/APga8IZnrr0Vdws8j+Y0PEUkgUxssF0AM9q1hBBCCCGEkD3lgj9IE0LIVeWcfNvBYDCfz8fjcdqjyeA/KgHCjX0KeA/wv6SdqwAr8Dm2zo+MvfVti4ZDjpieRuMWQTh1dFt0dJnKIWfU15zzEL4FfM8zfWsFLY9EQPXLjNlstlgsYrUJZNp5CEueYEsIIYQQQgjZay7yUzQhhFxtzsm3Lf8MfLlcNtlU6Gy5VU1YY93+JvAeT3EX37apP3sxP3GKhkNSdJRAqsZh0Re009W+aRBoxoQ9A14Fvg+cWKPOCs4G28+jOeUhtg23nwfJgBWQVWlOu5YQQgghhBByNeCZtoQQksp4PM7zPPkg2lTyPB8OhwcHB01W/pR1yq16fC2q/nXgn4B7wEOrEppDB2uWupQdOLFNQPcN7YrzXn/nNL1hWV+I3hfIGrWZIWPCvgJ8E/i85dg6K2yt4i1w2tqxnc/nAPr9/g4c2wyYApu6YzukY0sIIYQQQgi5GtC0JYSQBozH4+Pj4ybuahKlb3t8fLzZbAaDQay85NPAJyvr1mfAmfYAeB54ESjEFDsucQLTO4FdmU7RalYK57SsjX0JXyzFQNAO+9/FJ9qBrFRbOWT/JuAM+A7wxWS79gz4XOsjEZrvN/eQVXbtpFJyPnCMEEIIIYQQcsW4mD9WJYSQa4X5C+5YYWNaHZXwYeBm2im3PeDngax+0O0NUWlPkYHUndinqCSWRYnaoGFf1acEUjUOi+lBWC9E6oi+MrWZoW29fwX4OvBIq7TrC2uDbctnjo1Go4ODg3Ine6w8RlY/DwEY5aP1cL2DlQkhhBBCCCHkAuFOW0IIacxisVgulzvfb4uWRyV8psmW2x8DXwX+FnjR2h3peHC2SYe6YeekssbgpD4KbW4jUqarBVIMr2OP+mIpyiCAr6YQvRRl4JTJZgq29fYI+Efg837H1t5gewacAX/X2rEtj0TYwSG2mXseQoZsns/p2BJCCCGEEEKuIrva4kQIIU8c57ffFsB0Oj08PByPx+v1OlZrCG+5lf1TwHuA3xRToM2FWCEcqGkjAnNTDFCDWpwiBlI1DouBMl9NtPelUpcN9a2yhbW79qGYiHqlCUq7tg3mmWMNv8g1MmBkHYYAIMc0mx7mu3ugGSGEEEIIIYRcLDdjBYQQQnTu3bvX6/WOjo7u37+/c2NovV7fvXv36Ojone98Z7Kl9SXgBeB9QbvTdl1PgR8C/wL0gF+oF6Cy6pyJTQM1vTCclxDWHTGQ+mIp+m4gPFqk9YHUUGjN6LYD+x3g68A3gTf8E+1ZW+Ax8PdoRZZlk8nk93//9//gD/6g6/+dDFgBT1vCIrud375179ZwOHz48KF3IiGEEEIIIYTsMTwegRBC2rNYLMbj8Wq1Sn56WAPsoxKyLIuVGz4N/HHyaQlFdWDC31QHJpiJENaeEWGN+pRC6Ca9AAKXU3VHDKQpcTsK0ft0+411imG9275mjkEogFeAl4Dnga8AD60Fw3NPgc8Cn0crymeOnZycdN2lnrnnISBHNs5WgxVOMB6PvRMJIYQQQgghZO/hTltCCOlEnufL5fLo6OjRo0f37t2LlTfj4cOHy+Wy3+8fHR31er3kLbcAXgC+CLxP6I7BZyh33X4XuAH8YlVp75B1Jvo2z6qbbWXxOe299b26wKgUpQfqG0onMLGwenXIqbF9VVUs6qPSdS2qkxB+CHwF+BfgjeAUe9YZ8FngJbQiy7Kjo6PBYDAcDp977rlYuZ8MuA0cAYNKyYFnkX0im0/md+/ebfIcP0IIIYQQQgjZR87pYzMhhDxZlM9TOj4+Pie3yDyvaTweN/xz8g8Bb2ly0G3J7wLvtopv1GvUKXasWrcyVZUWqI5nSoHUHSWQNop9gd1LUdZERbvZin0SwivAD4CXxEkIcoXCsmu3wN+gLeYE2+Vy2fX/yAiYwN5diyUwxWg0mkwmOzghlxBCCCGEEEL2gJ18WiaEEAIAq9UKQNc/+vYznU4nk8lsNmtue30EuCl826h1+3bgF4Hfs6xb241Nt26dWKYBMUwRK4C/RuphxRn1DRXJgd1LUdaovWkytc+1MIchnAD/Epxl1xeVXfs/0IEOv3KokwFza3ctgBwYAvnPHtzHx44RQgghhBBCrg0tPiETQgjxMp1ODw4Ozs+3Lf2vLMta+VONrFsTvA3I6htv5Sx1oqGpexsdKvxDDr5KVXfEQBqNfYGatujtoNAU27F9pTq71jm1Vq7gTC+Pr/1btGVnG2yzaoOtIf/ZBtvyEuf6n44QQgghhBBCLh6eaUsIIbtkvV73er2jo6P79+83N1XjlKfcPnr0aLVaNTzlFsCXgC8C74+VlRjPtDzu9pvAK8D3gV/Xim1L0SbdvVWVLsibCQ8F6qOjJUUsUNNGveO0OrHz6LnyJIRvAy8AP6gOrvVNt2cVwBnw18C3gBfRlizLVqvVw4cPx+Nx+xNsM/34WjwDrH/2O4yTkxM+dowQQgghhBByzdjtJ2RCCCEAMBgMVqvVcDhsaKo2wGy5bXuIZ+KuW5k+BdwCfqu+zVad66xgEzBzU/QoRcMhKTqKnRYiUMXC6p00IAZ60yCCwvJbC+AR8BrwothaK6c4rTwM4a/RjZ1tsB3Vj68FsABmQA5U/wXO7yBpQgghhBBCCLlEuNOWEEJ2T57ny+Xy6Ojo0aNH9+7di5W3odxye//+/VZbblHtun2fZowWVixHy423/wz8FPhut423PrG1VxtG3o8qOoqdqnE0UNPEIWOn+mLTyn21PwRy4KvA96uttYlzy/6vgG+hG6PRaD6f379//5lnnmn+ZVmRAUfAbeAdlZIDzwDPAg8BYDqd3rlz5+7du3RsCSGEEEIIIdeSc/pgTAgh5Gc7AfM8P9e/3d7FrsYPAzer54ylb5stg58DMuA14P316U6ZL5W0G5IUCCFHHcWX2roUfYHdh9PCE/j81gJ4BLwKvAx8J2ER2baVXduVzru/AQCZ9/jan41XX/CtjnUmhBBCCCGEkKvBjVgBIYSQluR5PhwOT05ONpvNYDCIlbckz/PpdDocDg8ODtpe6DPAJ4HHwFll4Zmtlz6nD1XwE+DrwHeANbABvlgtclaf7qxpDzmo1/INBVp4WalHU6mnBHYKK5A1hfW2yKCw/mnK9hB4CXgB+FvgS5Vj61wx0LbVc8bW3R3bLMum0+lqtTo+Pu73+y0d2wyYAhvLsc2BGdCvObar1QpAv9+nY0sIIYQQQgi5xjTatUQIIaQN5RG34/F4sVjEajsxGAzM3t4OltbHgF618RbJG29NXO69vQn8VvWrwZ5nVmCR86OAgiP6UluXYnpgm6q+wKROK8+rfVDfVysXCaxgHjXW1auFte+1w0bvanftIZBZ4uLN42tLptNp1wsRQgghhBBCyBXhvD8bE0IIAaq/HD/voxJKptPpZDKZzWbdvC35pDIku7cm/VXg14D31Ot79WK5gvqzyRYLraARcgVH8aUyCI8WsV6mJt5aouPVhpcqRGo2OG+BNXaBbdcuFov2vyQYiaeN5cC4dps8EoEQQgghhBDypMHjEQgh5CK4mKMSSqbTab/fB7DZbDr4tp8G/hj4P4Gz4LEJ6hEKqIIfAF8G/hvw18AGOKkfnuDMtddXl7XXTyG8QljxTTcr21dRg8DV5dtY1I8+KN9zcwDC54DPAi8AL8Vuz3nr7NVOgb/clWM7Go1Wq9XBwcFwOJxOpy2N1AxYAXPLsc2r8xDWVhWPRCCEEEIIIYQ8eXCnLSGEXCgXdlQCqu29XR8M9TOcjbfwH3qA+g8X+YPm7dXe21v1Kc5qRg+kTSmgIEVHsdMiFjTqTUPlsb4CvAL8K/A68K9avZrKBYtqwS3wl9gdu/miyiJPGzPwSARCCCGEEELIk0nHT7+EEEIac5FHJaA66BZAJ5ftTT5mWbc+3zZg2jrpU8B7gF7VRz1cmy4/wgoo2GI0tv1TJ/UNOdaqiR8BPwJ+BDzQjFrfCuqaZSs3254BK+yOLMsmk8lgMOhkoWYeu3ZRO74W4JEIhBBCCCGEkCeaLp94CSGEtKfcQrgjIzVOeTkAs9lsF5t8P5x24i3qP2jUHzpGfBvwduBXq76nLRL9sRUuKKDj6HZaNA+i1uorwI+AHwKvAy9rE329s44dF5ZXu8uttcCbu2t3bNdCedrYz2qzbD6fHx8ft78cIYQQQgghhFxlop9+CSGEnBflUQmdnxjWgF1bt0hwb1H/WeP83An8GHobcMN6iNl7POvIFUrFGKkq6qgtOgXqkM9RdcRHAKqNtK8DD4KL+HrHorVj49X+BXZNudd1N3btIZBZYu4+bexntdUG2919iRJCCCGEEELI1YOmLSGEXCbljkIA4/H4wv4G3ByY0MmJc/kwcAO40WTjrUzD+lPVbtyngLcDrwMZUCT8LDMFjhVrE7BlA4Fjqj4CHgFvBYpqI+3rwI+1KXIFXy9dWrudAX+OXZNl2WAwKO3arubpCJgIu3YGLJTa8pljO/2yJIQQQgghhJArSfSDLiGEkHNnOp1OJpOL3HKLyi/uuolS4cOWddti762qhLHN3KeANyr9l4Ffjrm60sYN+LPlntmy/zmgAH4E/Bh4HdhWBx2oE6Opbcs6qXRsy8eL/f84B0q7djKZoPt27AyYAwNLyfWnjcHaYHthB4YQQgghhBBCyD7T9IMxIYSQc8FYqBf82KXdPF3Ky0cqAxfCwEX9Z1DiDtx2/DwAoAe8DQDwVKUHHFsAr1dpuVvWHlLjgNsbTn2+rdO2wH/DuWFsU3R/Zl3WwK5FdQgDT7AlhBBCCCGEEMNuPxUTQgjpxGg0ms/nF7zlFnXrdrFYnI9rXBq48G+/xXlat9Kf9emO0tqrNYGaqhatCex2Bvx/OE+MXbter5fLZVe7dgKMLCUP2bXcYEsIIYQQQgghKjdiBYQQQi6OxWLR7/cPDg42m81gMIiV74w8z8fj8XA4BLDZbDabzWg0ik1qyqeBTwKfBH4KnAJnwBmwrfpttZl0W99b6iitG2IFO29bLXV6O9hW78kZcAr8F+C/Av/P+Tm2pWG6Wq1WqxWA4XDYyTnNgCmwsRzbHFgAQ69jO51Oy0v3+/321yWEEEIIIYSQ68gONzERQgjZGYPBYLVaXfyW25LpdFr+mfz5nJlg80Hgpjg/AZ4jFHxKCkWybivOaJEc2D0q39bW7aCoHNtzPP3AprRrJ5NJubW208G1ALLqaWM2C2AG5LIasHZ2X/BhIIQQQgghhBByVeBOW0II2UfW6/WlbLktmU6n/X6/3HhbFMX5bLwt+VPg08CngE8BnwT+2NqE6+zDlftSG7VCa1Lf+ke3scC+Q7t3XoLZS/sT4D8Bfwb8Z+C/XoBj62ytLf+JOzm2WbW7dmKJC2AIjHXHNsuycoPtyclJv9+nY0sIIYQQQgghKu32KxFCCLkgLnfLLerPpzr/jbeSD8WeYOZTVIo03U7V2Ans1FaKevvPuCTM1to8z2ezWSej1jAC5nUlB8bAWqktKZ+2B2A8HtOuJYQQQgghhJAAiZ9yCSGEXBrGNr0Mz/RNLtu9tfmg5ywFpP1cU63bFN9W9WptfxbV7to/wx5Q/pMdHBxkWVY+YWyXR8dmwKaK87hda550d6lfOYQQQgghhBByNUj5cEsIIeTyKXcpZlnW6WlRnSl9wFu3bo1GozzP98yD+z8AiB9t4Z906V6tuoX2P2H/sL3a8tTa8/qCmQMDYAYsvCV78isHQgghhBBCCCGEEELOi8FgsNlsVqtVlmWx2vOlPJx0Pp+Xh97Sj7t0zHGxm81mPp9f/FHIDuX98GuDEEIIIYQQQgghhDwRTKfToij2xAuje3u57JtXWzIajcr7ufTfLhBCCCGEEEIIIYQQckHs4TZG6d7uiYF4/SjPHJjP5/P5fK+8WgBZlpUO8v7cEiGEEEIIIYQQQgghF0d50O1msxmNRrHai6O0FMvtwOVhDtPplDsuO5Jl2WAwMJtqy3d1r4zRPfxFAiGEEEIIIYQQQgghl8M+720sjTxj4JZxbBJ5k9IBX61W5Ru4V5tqDbRrCSGEEEIIIYQQQghRKF2z/bRuS8zpqzRwA5Q7asvTD4xRu1c7qW1su5abqQkhhBBCCCFkV/RiBYQQQq4S0+n08PAQwGw2WywWsfJLo9xAenBwMBgM8jzP8/z4+DjP8/V6ned5bPa1Iqs4ODgoAwDL5bJ8W9brdWT+JZFl2WQyGQwGy+WS5jshhBBCCCGE7BaatoQQcg25KtZtSelUDgYD4+ECWC6XANbr9d66lq1RXdr1em1s68j8y4Z2LSGEEEIIIYScNzRtCSHk2jIYDObzOYCrZa4ZD/fWrVvlsQCllXlycpJbRFbZD0pDtjywwrZocaVcWkOWZfP5PMuyq/UVRQghhBBCCCFXDpq2hBByzbnqRlvpcpbu7a1bt0o/F4Bxb42Ze4nuZ3mTpSd7cHCA6mja0lwub+/4+BiVAR1Yaj8ZjUaHh4dX96uIEEIIIYQQQq4WNG0JIeSJ4Pr9SbvZkAth5pYFZkPuycmJo9hlUeztsVmW3bp1C5ZLa/q84iruCPZRvqulXXsljtoghBBCCCGEkOsBTVtCCHmCsK3bxWJx1S1FFWmnlr00WxPJq92yAEpD1hGv69tY7q7FFTkZmRBCCCGEEEIIIYSQK0yWZdPptCiKzWZzPXbdkl1RerWr1Wqz2czn83LzMiGEEEIIIYQQQggh5IKYTqelPTedThttPiXXj9LK32w2m82mPEGYEEIIIYQQQgghhBByOdgbb+nWPWmUW2vn8zm31hJCCCGEEEIIIYQQsneYjZY8M+FJwN5ay39xQgghhBBCCCGEEEL2F268vd7w1FpCCCH/s527OU4cCAIw2huJJhMpEwiFTECRIDIZItEeulCNd71G5fWf4L0DhVxoTMm3r9oNAADAJmW6zbR3Pp9NYm7dH61WjgcAAACArVrq7TzP6u3maLUAAAAA8LDU2w3RagEAAADgiai3P5ZWCwAA8Bh+3fsAALwuE2Hf98MwTNN0uVymaZqm6d59fKRSSillGIa+70sp+Yc4nU737gMAAODnEm0B+F8ZDUspu90uImqt2Q1rrfdu5T1KKRGRxTzfj+OomAMAAAAAr8jlCYfDYZ7n/Cd9+xM+So42H4/H5dlagAAAAPCQTNoC8FkyMnZdt9/va63jOEaEhrteTtHm6oN8hrYfAAAAPAPRFoCv0C7ArbXmCoVaq/7YaittLp3I2J1PzPYDAACAJyHaAvDVlh24S8ONiKd+V00AAAO5SURBVJzDfbbFrOWmrbQ5TqvSAgAAPC3RFoBvltUyx0uHYYiIZZfCNE05ZPr2CVuxDNJGRFba/IlKCwAAQEu0BeBnWRpuRLQZN12v19p486Rvkyl2GaGN23BxfuEssyotAAAA/yLaArABbcntum5538bc5TJv+byquzTZ9rXrumjWHSxf7HK5RIQ+CwAAwHqiLQAb1sbcuPXceFlU24zbXq6Uh8Ttd8XLc/I153+jich/nwMAAAAribYAPLi2uraX67VB9s5HAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADW+A34neYL4MwoUgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": { "image/png": { "width": 800 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename=\"../plots/example-65-probe-orbiter-deflection.png\", width=800)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }