{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[![img](..\\ep8_2018-57x57.png)](http://endlesspint.com/)\n", "\n", "# Winners Take All - The Movies\n", "\n", "**post @** [endlesspint.com](http://endlesspint.com/2019-11-08-winners-take-all-the-movies/)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import pymc3 as pm\n", "import numpy as np\n", "import pandas as pd\n", "from theano import shared\n", "import scipy.stats as stats\n", "import matplotlib.pyplot as plt\n", "import arviz as az\n", "\n", "plt.style.use('ggplot')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
yearranktitlestudiogrosstheaters_maxopeningtheaters_openwidecloseopening_of_grossyear_totaltake_of_yearprev_year_Q1_theaters_openprev_year_Q3_theaters_openprev_year_IQR_theaters_openprev_year_IQRtop_23
020181Black PantherBV7000595664084.02020039514020.02019-02-162019-08-09 00:00:000.288553114430535540.0611782696.253771.00.0above1
120182Avengers: Infinity WarBV6788154824474.02576981834474.02019-04-272019-09-13 00:00:000.379629114430535540.0593212696.253771.00.0above1
220183Incredibles 2BV6085817444410.01826879054410.02019-06-152019-12-13 00:00:000.300186114430535540.0531842696.253771.00.0above1
320184Jurassic World: Fallen KingdomUni.4177197604485.01480246104475.02019-06-222019-10-04 00:00:000.354363114430535540.0365042696.253771.00.0above1
420185AquamanWB3350618074184.0678735224125.02019-12-212019-04-04 00:00:000.202570114430535540.0292812696.253771.00.0above1
\n", "
" ], "text/plain": [ " year rank title studio gross theaters_max \\\n", "0 2018 1 Black Panther BV 700059566 4084.0 \n", "1 2018 2 Avengers: Infinity War BV 678815482 4474.0 \n", "2 2018 3 Incredibles 2 BV 608581744 4410.0 \n", "3 2018 4 Jurassic World: Fallen Kingdom Uni. 417719760 4485.0 \n", "4 2018 5 Aquaman WB 335061807 4184.0 \n", "\n", " opening theaters_open wide close opening_of_gross \\\n", "0 202003951 4020.0 2019-02-16 2019-08-09 00:00:00 0.288553 \n", "1 257698183 4474.0 2019-04-27 2019-09-13 00:00:00 0.379629 \n", "2 182687905 4410.0 2019-06-15 2019-12-13 00:00:00 0.300186 \n", "3 148024610 4475.0 2019-06-22 2019-10-04 00:00:00 0.354363 \n", "4 67873522 4125.0 2019-12-21 2019-04-04 00:00:00 0.202570 \n", "\n", " year_total take_of_year prev_year_Q1_theaters_open \\\n", "0 11443053554 0.061178 2696.25 \n", "1 11443053554 0.059321 2696.25 \n", "2 11443053554 0.053184 2696.25 \n", "3 11443053554 0.036504 2696.25 \n", "4 11443053554 0.029281 2696.25 \n", "\n", " prev_year_Q3_theaters_open prev_year_IQR_theaters_open prev_year_IQR \\\n", "0 3771.0 0.0 above \n", "1 3771.0 0.0 above \n", "2 3771.0 0.0 above \n", "3 3771.0 0.0 above \n", "4 3771.0 0.0 above \n", "\n", " top_23 \n", "0 1 \n", "1 1 \n", "2 1 \n", "3 1 \n", "4 1 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_movies = pd.read_excel(\"rundown2.xlsx\", sheet_name=\"list\")\n", "df_movies_2018 = df_movies[df_movies.year == 2018]\n", "df_movies_2018.head()" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = df_movies_2018.opening / 1e6\n", "y = df_movies_2018.gross / 1e6\n", "\n", "_, ax = plt.subplots(1, 2, figsize=(12, 6))\n", "ax[0].plot(x, y, 'C0.')\n", "ax[0].set_xlabel('opening 2018')\n", "ax[0].set_ylabel('total 2018', rotation=90)\n", "# ax[0].plot(x, y_real, 'k')\n", "az.plot_kde(y, ax=ax[1])\n", "ax[1].set_xlabel('total 2018')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [ϵ, β, α]\n", "Sampling 2 chains: 100%|████████████████████████████████████████████████████████| 6000/6000 [05:54<00:00, 16.91draws/s]\n" ] } ], "source": [ "with pm.Model() as model_g:\n", " α = pm.Normal('α', mu=0, sd=10)\n", " β = pm.Normal('β', mu=0, sd=1)\n", " ϵ = pm.HalfCauchy('ϵ', 5)\n", "\n", " μ = pm.Deterministic('μ', α + β * x)\n", " y_pred = pm.Normal('y_pred', mu=μ, sd=ϵ, observed=y)\n", "\n", " trace_g = pm.sample(2000, tune=1000)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ],\n", " [,\n", " ]],\n", " dtype=object)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2gAAAG4CAYAAAAwt8Q7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzsnXecJGd5539vVXUO05PDzsym2SStVtpdZSEkBJZszmewjOEO++wD2/hswPlsgi1hJAPnAMY23NkGYzBgg31GBAEnJCwJhVXYoM15ZieH7umezt0V3vujQldVV3X3xJ7Zfb+fj7TT1VVvPW/VW9XP8z7hJZRSCgaDwWAwGAwGg8FgNB2u2QIwGAwGg8FgMBgMBkOFGWgMBoPBYDAYDAaDsU5gBhqDwWAwGAwGg8FgrBOYgcZgMBgMBoPBYDAY6wRmoDEYDAaDwWAwGAzGOoEZaAwGg8FgMBgMBoOxTmAGGoPBYDAYDAaDwWCsE5iBxmAwGAwGg8FgMBjrBGagMRgMBoPBYDAYDMY6gRloDMYi+PrXv469e/fC7/fjuuuuw2OPPYZsNotgMIgnnnii2eIxGAwGg7GisN89BmPtYQYag9EgX/3qV/GOd7wDt99+O771rW/h1ltvxTve8Q589rOfhc/nwxve8IZmi8hgMBgMxorBfvcYjOZAKKW02UIwGBuBPXv2gOM4nDp1CgAgSRL6+/uRSqXw9re/HV/60peaLCGDwWAwGCsH+91jMJoD86AxGA2QTqdx9uxZvOUtbzG2CYKAe++9F6VSCQ8++GATpWMwGAwGY2Vhv3sMRvNgBhqD0QDZbBYA0N/fb9l+0003IRgM4oEHHmiGWAwGg8FgrArsd4/BaB7MQGMwGqCrqws8zyOVSlm2j4yMwOfzIRAINEkyBoPBYDBWHva7x2A0D2agMRgNIAgCrr/+erz44ovGtlKphH/7t39DMpnExMREE6VjMBgMBmNlYb97DEbz4D/ykY98pNlCMBgbgUgkgj/7sz/Dpk2bMDQ0hIceegjnzp1DNBqFoiismhWDwWAwrirY7x6D0RxYFUcGYxF86lOfwl//9V9jfHwcAwMD+MpXvoJ4PI73vOc92LlzJ55++ulmi8hgMBgMxorBfvcYjLWHGWgMBoPBYDAYDAaDsU5gOWgMBoPBYDAYDAaDsU5gBhqDwWAwGAwGg8FgrBOYgcZgMBgMBoPBYDAY6wRmoDEYDAaDwWAwGAzGOoEZaAwGg8FgMBgMBoOxTmAGGoPBYDAYDAaDwWCsE4SlHjg5ObmSciybjo4OxOPxZouxolyNfQKuzn6xPm0crsZ+NbtPfX19TTv3WrHefvMWS7PHyEqw0fuw0eUHWB/WAxtdfmDj92EtfvOYB43BYDAYDAaDwWAw1glL9qAxGIzmQClFtiwjnswilS5AphQyx4P4/Yj4PAj5eLQFBIS9fLNFZTAYGxRZoZjNiegJe0AIabY4DAaDcU3BDDQGY52TmU/h+GvncW4qjQtlH4a5FhR4b93j2nkJm1t82NEXw8FNYQy1+cFzTNFiMBj1uZIqYTxdhsARdIY8zRaHwWCYoJkFYGwY2L0PhFu9YDgqlgEAxFNf52CsLMxAYzDWIckro3jmpbN4Jc3jtL8HColCUILYKsdxjzKGHg+HjpAHrX4eAgF4WYKczSKfzSGTL2EuU8SoEMOVhV78a0LE104mEBUobhlswRu3xXBdV4DNijMYDFdEhQJQPWkMBmOdcfk8aDEPUi4C/uCqnYYeeREAQG67Z9XOwXCGGWgMxjpBKeRx7Ecv4/9dKeAV/yBkbhCbhSR+2h/HzUPdGLpuF7zevQ21RSkFZiZAL5xG+swTODaRweGW7Xi+tBdPXU5jV5sX/+XGLuzvDTFDjcFgMBiMjcgGmj8RZQWX5kvY0e5vtigbAmagMRhNRsrn8PwTz+Pf57wYCfYg6i3gJ0Mp/NhtOzGwafeS2iSEAD39ID39iN19P+4Ry3j94RdQeOrLeKYcw//dfB/+eL6MXa1e/PodfdjSyl6YDMZSoNk0MHwBuP4mEO7qyfukmuLH5m8YjVDMFxCfjqN/20CzRWGsU0ZSJczmRER9PLq7mi3N+ocZaAxGk1BKRbzw3afx5fkIpvyD2ORN4/3bFLz+ln3wCiur6BGPF+T2exG87R78xKWzuO8H38TTIxK+uu3H8TvfLeFte9vxs3s74eGZNsZgLIrRS6D5LEguC0Rami3NmkApBahyVRmkjOVx6vBpZEsSOvq64Pf7mi0OYx3DJn0agxloDEYTOP3CEXzhVArng1sw4FnA7+/icMfBW8Ct8puLEAIM7YF/aA8euHIRt//rl/F5bie+hgN4aSSFD963BT0RlgzMYCye5T+7dGockEWQ/q2LO06RVQlW0GCitWKnRi6Czk6yvBSGgSiKAMhGirjb2GxAI4eywbEo2DpoDMYakpqawV/+w/fxweEg4p4o3rdZwqd//lbcdfPOVTfO7JDNQ2j53Yfx27d24gPn/wXxZBa/++3zODaZWVM5GAyGCh29BDoxuvgDj70M+spzKy8QAOKgCdJZddFuyjQuhp0NOCQopcYkB4OxXmAeNAZjDVAUBU8++Qq+OOVFwTOABwNxvP1nbkGgyaEghBCQ1/0Ybt93Cwa/9hV8vHw9/viHHN69twXvelNHU2VjMNY7skIhK9U/pLRUAvGt3bOtl8Je2UZXvknGtcD6GDh0egIABenpr7/zpTOgiTmgvQvo7AFpaV11+VaMDTRJoku6AZ1/TYF50BiMVSaZWMCf/NOz+MxcCwblBfzl62L4xQdf13TjzAyJxrDpV96L/7VHxs3zZ/G5Uxn878cOsRlyBqMGp2bzeDFlDSukc9Ogxw6BZtLGtrwoI1WU1lq8FWG5jn2qyJZrwVi/5MoyCqLSbDFWBHrlIuiVS8bnoqTg2ZE05gvVzyFNzGn/zoKePd74OS6eBr1wevnCMhgOMAONwVhFXj5yHr/xnUt4jWvHuwMTePQXX4fBrZuaLZYrobvfiD948ADelDqJL1+R8PffOARZuTp+sBmMlSZVdAiLymrGSCFnbHp1Iofj0/k1kmplaGhqppEJnJGLoKePgpaKyxVp3XAhUcCJmVz9HTcYhydzeGUiu6w23Cb1qCKDHj0Emkosq/2lktae1ZnMynmbaWIOdH6u8llRVseb7cQqpESUJAWjC6UVbxcAFEqvGuN/rWAGGoOxCiiU4iuPv4I/OaOgXczgkwd9eMuDbwTPr/+oYqF/C9777jfjrdIwHi+04jP//AxkaWPO/jMYaw7zOlvJZfFC1ofXppan+K8npjIikgWWs7QoikXQcgkYvbyqp6GzU6CJ2Zr7HJtYwEjSNGGwCGNHUiguJArOC7iPXAA98uK6zGcrFkt45thwTU/+6bkCRpIl5MWVl/9cvIB0SStmpF3uhaKETGn9Xav1AjPQGIwVJlso42P//AK+norgDfmL+F9vuwmD1+1stliLggsE8bu/9U78LD+Op9CLz/3j96AUrr4ZYwajUeZyYu0dtMIZVwt29TMvyriYKC4+7JkAMiVYKF07s+dUkkClOuNlA5DIi86GSA0UBciPj4FOXAE98xpofEb9wlhYb2XVzlRBwmy2cq3p8HnQi2eq9ivKlfE3ly1jdKHi6SJ849VPR1MlTGVETDl44sT5uNpNh6gTOjUOevlcw+dpnMbuT+rVl4H4LCan59WjZLlqjCravV7kLW8Ip9DS16bzODq1NL0iW5ZXxZA0QyltapoHM9AYjBUknsrig18/giNyDL9CLuI3/vsD8MU25tpIHM/j597xRvxUeAHfDezAVz7/GGhmodliMRhNYbaOgWYoojp1ZuVpLgOay4LOToLOx933U5RVmZGniqLmy9VRQBJ5CXM5EadnC5jMlJErma9DfeUlew0632deOgTx1RdW/Tx5UcZwcnVCR/OijFOzBZyPF2ruV5IUjCSLhv11Jl7AK2cnoYyNgKZToJfOql9QzWghBDSbXrG8xOMzeZytIyMAjCTV0D3HEbuEcEF7O7JC8WLGi+eyfuc8t9FLoHPTiz5PoyQLEi4k3K+D0UNKQefjoK8+B3rYOkb1y9CoTTKXE/HsSBolqf7ky0rYOWaD8shkDq9OrOykMU3Ng06NGZ9/dCWD07P1x9Zqsf7jrRiMDcL41DwefuIycvDjoe453HT/TzZbpGVDCMG7f+pWFL5/Ev+Gg/B//t/wtv/+VpBYe7NFYzAsfOMb38DLL7+MyclJCIKAHTt24J3vfCcGBweNfSil+Nd//Vc89dRTyGaz2LFjB37pl34JAwMD9U/gpmDYNI+pIkWbAtQrAURPHrF8dl1T7NQR0Hxu5dccmxoHHR9W10bs6LZ8lRdlJPKqkjmbEzGbExH0aPO50xOLOs2CpKuGGyf0k2bSwOwkyPbdNffLlmSEfVbvS64s41zBg3aBw95GzkUpUC4vqernyZk8ihJFX8QLn+A+3z6cLKIsU+zqCDTctr68QrpOCNp4uoyJdBmUqvvntTwjiopRQHPZynPCcaCnjqrnWOaYppSCTo4C4SiA6DJaWn4+l2RyO12cL6E90vi1XizT6SLKMuAHsFCSEfFTnJhRc1x3tNc+LwVAL5yqu08j6F7EvKjUHH+A9TVpX7qDUgpRofDy1jaoJALZNEisHTQ+oxr7ew+ChMKgpQIwNgLavhsksrRJcEqp+v7TP587ocrXW/k9SDgY22sF86AxGCvAqbMj+OATVyAqwKNDZdx0/73NFmnFIITg1x7Yi7vbFHy58y48/vf/UjfGn8FYa06fPo37778fjzzyCB5++GHwPI9HHnkE2Wwl9+mb3/wmvvOd7+Bd73oXPv7xjyMajeLRRx9FoVB/llRxt9CMv/KijAtZ4FzRY91DUUDlpf3Q0/zKzhKXZQUvjKbx7FQROZkADvmlJ2oVNJGrFfa5nIjL826enLUtqp0tL9/bmD19As8OLyBfKGO+IKHo4iHIOJxrQStGUaYEtNjA7PvoJbXqpyRCodQSrgeoHiqncDqgoujKddwTYwtlzGSXFnIpucS7UUkEHRtuKASMnjwMzGiG/UoWt5AlIJ8DZqeqv6LAaImH0ojrxkUmeuUilJeegeIQ6mZvVaEAjDBK9z7SiSvqv6USlJELUFyKcFFKXT1TJ6YyOJoVUFaA12ZLODlbuwCRYl4jscb10Ndidbqn5m3pooRkQVpU2fxad+HifBGHxrLV4bSXzoKeO6nmLi4k1W16qoX+Xkw2XnQmXZRwZFI9D11Igr78LGhu/a77ygw0BmOZXLw4ht/+7kX4pSI+cdCPobtubbZIKw7PEfzWA3twSyvw931vxDN/90XQmasr54axsfnwhz+MN7zhDRgcHMTg4CDe//73I51O4+xZNcSKUorvfve7eOtb34rbb78dg4ODeN/73odCoYDnnqu/yLOrXkMr30kyBSggayoLXUiqysXYZWD4Aujh5y1V31aaRpSNgqhAUgBQignROfdGqqnU0qo/z8wVMJYqqgq7WzjmKuZyPDuSxqnZvKaA5TBeoxLdxUQR6TpLHsyIqmqUKEg4OZPHy+POBU7sXZrOlHHRZKjS114GnR6vLXxKzQmCJGEkWcLZeAGJfMWYOjGTx4VEEaIph6okKRhOFsFpmnGjhXZPz+bx7Ejt0EJayFsmBcxdpPNxSGPD6ocrl0AnR0EmrthyvmjVcQWFoJTSwuPzK1csZibjbnROlHlcKXswmbYat/ZRSGVZfUYdoJq3+LkrGZxP1A4lpaaWaxmFdHwEVFGAy2fx3MUEXrnk/D64kirhpfEsUkXJ0VCTFHUSAKhMCriiyDWNKKrIoGLZ8JbapS8rgKjfdwDHpvM4MZOvjP9F2tx2e1gPH6+6agXN8FQU9/eHg3FdEBXHZ/xSsoRsWUGuLAML2nOXXr9pG8xAYzCWwfClcTz8fBxBqYRHX9+Nvn2NBLVsTASO4Pcf2InrowR/3f9mHPk/fws6MdpssRgMRwqFAiilCIfDAIDZ2VmkUins27fP2Mfr9WLPnj04d255yfu66iAqFFBkCLqSevY46NFDgKgpIJIEeuG0GvK1CtjDJushUWIoOAql7t4SStUQI1kCibt4zxeSarjZlM0gWYVy4Gb00t2JvISipMqfKckWgwZQc4TmCxImM2UcW8KSB04Kn92rmnMqI55tNNeKoiyr7ZnvgyhX35MzcwWMLZSN89k9aFRRQMerjeV43tkwpaKoGg0AMHEF9MSrhsFhbppeOAVx5IJ+EgAAsZfNdxhCr+Z8eCmlqpt0BSsCn5t1f44kzWpw81AB6pjA6CXX783oHkj7cKYUmEyXYR5uZYd7VgWloCDGmLWjhxi/dvoKDr161nGforK03LkpkYelZs+5k6BHXjSLZuGlnB8vTrobqMs1JOy3iOaz1pxe80U3EuXc23tlIuv4jBOonl9FUQCOqzq5RFXPay3cvOmrActBYzCWyOjwBB56bhY+RcSn37wNoZ7OZou06nh5Dh96YAgf+u5F/OnWB/HIZz+NHb/2fpD+Lc0WjcGw8IUvfAFbtmzBzp1qBdVUKgUAiMVilv1aWlqQTCarjn/yySfx5JNPAgA+8YlPIBptQUeH9dhIgkIM+BEOKeAJUE7Pw69ICIeDiCRnQaMRAIBfUj1Vkaga+ujxChC173QCHR0oaNsCHR3Gdn2bp5AFiUTBx9qqZC2Y2tKPLZ84DBIKw7NtFwBAEAR0dHSAz5cRyfGQcwsIooDW1lYIHR14dTSFZEHEj+3qQDRpNRKUhSS8hQyUbBahlgBCmuPN394OIgiIJCjkUh4RfwRCSws8JvmTkQj8RQJPOIwO03Yz4oXTULJp+PbfbmxLFyVcmMtif3+LEXolCALa/F4omTSE3n4cGU8hkRMRiaj9b2uLIFISIHEEJ1MUN/aG0BVVc3KuzOdxJZkz9nWTBQCmQmH4iYLWWAxxWtL2b0XYx4MjBJGEem1aYyF0tAWN4+JyFmlaQDngR0CgiER94GOt8GrnEgQB7e3tlryXUjQKxSvA196OGC+jwJXQ1hZBR9QPAIikVCOtvb0dXi3PJ5LjoWTykEYuQti8DW1tbWgNeo02pYlRiJkkhEIbPJu3G/Lq2Pte+NET4Fs7EYn0oxzwIxL1IBAMIhxUwFGKVoEDH2tDIRoBz/GItLTih/kQdvtKiHgAf6GionvCYYhaG7zWTfv41wnUuAeNEHj5DGjAb+mT/iwE8wR+nkN7awwdHRHjGrSEvUjkJUQiEUyLXuwJBSE7PIvmtsxjJkmzSCkFxGJB+MIRzJUJZkQPZkTAr8niiVSPdfMz6m9vR7mlBf5k2vW5iGY5cCUZ5QnVc+UJtcAncPB7eHDJBALBAMIeikg4BOKvjEGntgrRCAplAj/hEAxFME4imCcUt0cV9b0DGYhGjH62trWgI+SFND0BMRpR758soj0SBvH5jWsZ8QugRQnt7TG0BDxV5wUAJZ+DPHEF4XCHMe7b2qIQBME4nyF7ezsEnsOlJ48iKlBEIhEcLfuQS3F4fUsLZLEAb2sr+I4OhELTkAt+xGIxy/sGgCGf/VpEMwSlyxcR9beBC8VwSErjoD+MHm2/x+UYBAI8oH22tzOWLOBsIovbNq9N4TdmoDEYSyAxPoU/fnoCHAgeubMDm/fuQTzuXontaiLs5fHw/dvwB9+7jEd2vBMf+8wn0f8bvw/S299s0RgMAMAXv/hFnDt3Dh/96EfBcUub333Tm96EN73pTcbn1MIC4nHr7H86nQYWFpCRi+AJsJAeRrFAUBRlpJVK+FWxoCpuY/MltPAU2Zk4ImlrOGIuHoe4kMGxvBcDw5PoiagKt6Lvd/wwAIBzKKygmNrKae8hZXRE3T+qFvTp6OhAPB5Hqighk8mDZjLwF/NIppIg3gBGZ1VPTzxOkMmkYZ4oppkMAvkCigqHLFeCwqmKSzYeBxEEZDIZ0FwOGTEDkkqBmN6FuWwGxUIJxUzWeEemihKimrEDAMp5NUSOG6gcd3gii5yooJ0rIezjQSlFZ2cn4s/8QJXpFh9Gpq3XMOmXkMkU1GqzyQSGT+VA9u8FibRger6IjCmXKx539j4kCxLyuSyKRQ7zySQyGdULNTYt4ly8iP6o12hnXigjpKgz9VQsI3n0NNJtA0ChCA+vIIMyiC9kXI/2lijmnvg2iD8IcuMt6nHpDGgxj2wigVSGIJMTMe8T4Smr9z+TzkBUKOKJShGFhYUsMjOzQDYLTIzjeUlCwMPhxp6Q2mYiDprOgMzPg4RakMmo10n3kpn7TikFTWeAdAaZ7hbQQhGZdBH5Z3+ATDEIAorESB7cbfdASWcQiUYwOTmNfD6H8/kiOjwyiqWKcl7MZIBCEWm+CEE7jT7+M2mrF0YfqzPZMnw8h1jAWSVVPYEExPYsF9IV76Q+tvRnIVsUUBQFJJPzCKFkXAOvJEARAshkMijmCPqKKbX/DnKVFjKYLAvIBDLGdUsm8kgnskjxLTg6pXnVWrXrWyga1yAetxos5mc0OzcHLKRQLJRRzGYddYeFhSzyomK0+dSpMXAEuGswAkUBCqkUcoEyMv4ciKncvH1cn4sXEEnkIRCKYsGLdCaDYqEIkVBkSAm5eNyQTe9nIiEhkQBaTxxS+6Pdv/hz/wFy4y2V8VTikC0rSM4rEG3FcvKiDA/HQThzFDSXQabUAjK4DQAwPy+hO+Iz2tGZi6ulZY7F1efr9e1lTKYJkM5ggaj3iSSTIJwHuVweKBSRWlDfN5Ki5uyFvLzRrv1apE8eRbFQRurKMBLtgygWinh+ZB73tMe1fha149TPejsXxmT4BQ6X54vIFCRMzkroiIaq7tlKw0IcGYxFkptP4qP/7yKyvA8P3daKTbu2N1ukNac96MFHfmwLaDCER3b8VyT+6uOgDonaDMZa84//+I94/vnn8dBDD6G7u1KdUPec6Z40nYWFBbS0LHFGVMun0f0TeiU7M2PliuJyouDDkbwXxxIyUlL1vmVKkFc4DCfdc6iWJKYog1KKsqygfPywWqggu7Tk+HqpZLNFihfHMijLCrIluSoSKVuScXw6j2NTubq5YMY5Ry+rCf2mk1tyo9Ip0FKhEgk1MwmUS2qQmy3EkMqya2GLuZyIEzN5TIqaoUArVuq5eBF0fhYTY5VS6ZZWZqfUtSLTNm+sad0vWlIVQFrMV0IKHRurZnyh7Fw0ghCUCkWkTp6EeOEsZrJluFZvuHwOGD5v3eZSvIZSALIMKjuFdFWEdVMiG8k4pOkkKKU4O5vHca0KIR25UJWnSV95DvSVH9VtL1uScTjnRUEh0KXmqHPRC0ANSc7VGIKXih6MlgXLelhk7DJQK9eyISgmi5WbYy8Cc3w6Z1TDNI4oFSHnrWF7jQQ4zmRFXChWe7eMd5YiQ6JqnqD6WcFYPIdTswXMiba7K1rfS4ptnFFFMfL5Xp3I4Zh5jTNTnh8hgFLIgV48A1qo9OlsvIAXx5zfS8eMVDHtZCnViDo2r16n49M5HJ6sU1CpqE8QEFDbmgKOhVEkEXR2EsensjhVpxDLasAMNAZjEZTzeXzi3w9j1NeGP7jeh+3XDTVbpKbRH/Xhofs2IxVoxaNbfxbZv3wENLF6BRAYjHp84QtfMIyzTZs2Wb7r6upCLBbD8ePHjW3lchlnz57Frl27Fn0uqshGbpmxTavaYE6ZmLUV4sgrHECpkeDvhHvFSId9KUW5RlpESVLw6kQO52ZzODSWxZk0Ksn3qrRVx9jLYNfCnus1kVcgyhSjU/M4fHkOY0WrmlHWtLpsWTHyRJ7L+HCy4AHNLEB56RnQcsma6zOnTf6Y8peUoklZnJ0CxkaqpJ6XOGTnVYOc6or68PlKe1C3Dc/nURZFI7/E6JH9NswnrGtZ2b53vGtcRaqJTLlyr8TqAhe10vXG02Ucm8pV5wlKEjB6GQBwYWIe5+JFpI2TODRoU0TT+bKRj0RF52qR9rwc0sDwHC01EKAlK8CZ11TDUWN+YhqFc6cdd69lFNGLZzCbE5FXOCQkDlTrO6FqNh2VRNCLZyDbCukcTrlfdONsyThw+ZyaP6cXUDFPFlw6C6oXewEcK6NaG1ZwMV95LnK2BzjlVPRjbFjNDzRtMpdjoYW8YdjS0UugtlzQMwWv5bPeEH3lObyW9+LVnLbMQ2IGC+fPgcoyhsse63Dh6izoPXIB9Ogh4z4VJMUy/s0ocU1XMN2PZMH9/qb1x0WWcOGVY4Z1mNbzTgtlUEmEpFDV8IvPqEWaLGvPVTqTKFPrNqcJ5rlptYhIIacWFtFYq7q0zEBjMBpEEUX83Vd/iOOBfry3v4wDB2uvkXMtsLMjgA/c04/RcA8+0f+fUfrUw6D2pHEGYw343Oc+h6effhq/+Zu/iXA4jFQqhVQqhaI2a0oIwZvf/GZ885vfxEsvvYTR0VF89rOfhd/vx+te97rFn/DiWUBLZJcoUFJQUQrrGVjxmepqcpRiWFNqZaXa8DHvZ+ZCooiXcn5jNjtVkDBqqmKobx9fqF/ync5OYeHlF1HOZEDTVk+jUQiFWre6zVpPnL0ETKhLj5hbcJypBkFS4vHaOU2pvGQrikCsCf0yBeaPvFLVHrFZODmFw5GpPMbT2vXQ982o0/FUkZEqyhg9ehLnXzxcLZejrNV/jySLODQnqfffrKirQgFQi5mcmSvgbFFTlGVRUx6rz6EUi5h67keYnbJOeJVkimNTObWf+mEmD5iuc1aKhlDQxCxofLpKYdc5NpXFq3lNOR8fcdxnxGZsqcVwahdLmJcbUC+LeTUc1cTJghev5FzWhKvxWNHELGTNwCSo3GoCqv6tLaVB7WXZTVUliwpwpSSoCxafO1ExTubjaoOmJSYsY4NS410AQDWmbCimAhT02CHAZGwutY6OLgJNJYCJK6qcAOjUOGiDxU8AbdLI+KBdj2waJYXguay/8h1vNdBMw0xF/+03v7uIbW2zdAo4e6Ky7IgtbNVciXbM8DKajOHh85i0VGklqjd6+AIwchEX9EXLU/NqkabL1QWgKICyXpxFf0EWTJVLdQNbv99T42rJf6qoxt/s6i04bobloDEYDUApxfe+8i38IHA9Howu4E333tZskdYNB/rC+I3Kg+e5AAAgAElEQVQ7evGpF4BPi/fhtz/5MDy/9yhINFb/YAZjhXjiiScAAB/96Ect29/2trfh7W9/OwDgLW95C8rlMj7/+c8jl8thaGgIH/7whxEILH5RWbqQBKCGDqkKJcGQrwTAAwK1VHuYq1FuGwSXigImRQEDXglt8SQSWjEFupDEC6UiXh+oKI9xiQMoEJyZQbinx9g+ZytR/dq0qsD3G+eprsbnSjqFcYEC6TH1s8MzfKLgw95AGa2CqoSZK9ZdKgrI2aOpbNonBdSFoH0+EK/PUtFyIZWFEga4dAoilwF8Wp4Hz+N8RkA5lYMX6jpzCYlXjYSRSsiem557aS6Hvpj1HutKuLxtn1pRT6n2W1JKQa9cAqIxkFa94IA1fwsARhfKoIpqqMPm4aJT40CpBGXzLiipeWRkDmcLHuxJJkDNBhGlapXPfBZ0/DIuFL3AaAKku0/9evg8EIog39WLiI8HytVV9Qigttmqqnbz45MYLxBAtivWpgV6JQmK7s3VFNLhkoBOoWJAlKhe6RMYKRCcHp4F8jnQGjaYRAmyMkGYr/EMjF7GeNnJK1N9JyUKeKgCwN2LQ8+egK7W6mflQNWy90ZEm0nZL1mv4amCF3mFQ8fpk/AQiqTshxVzO65iAABenciiJ+JBf1Q1No/kvSgoHO6OaOcs695K7flMJwGPDyQQdGitgjI+DOobVP/WN5oqq1JKMVHm4SUU3dWHoyRTgJAa69dpHZyrNkJeyQjYmqt4fs3LceRFGSWJQ5QChLpMLikKMDsFGig7WqW0mLdUgR0u8jD8mBTuD7gpjNlt7TiYDp8SeZiCPFGWFRyKm67H5CgwuM0S4gygMhmir+m3yjADjcFogBPf/j4+z+/GQWEBP/+frr51zpbLvVtbkCpK+MKRvWgRs/jlTz0E/vf+BCQUqX8wg7ECfP3rX6+7DyEEb3/72w2DbTHY9QniMf98ql+OlgXj03nNUxLkXJQVwMh1Gi/zCJ07BUDzrmjKEY1UFEgjRGlOxD2afUYlyVCGDNWVUtAFmxdHP6fToq62jpnD2ehCUlVSCIeiaZY9JXOGgWZG74/Lsr/QxDMUHLptF+jJowD8lr0myjyKY6OAVoESHI8ZkSI/ncFN2vnVnRWLQUTgEqY3fAHYv8+0gRgL31ItF29e4mHPRKSgaihiYg5orVSEo6Koen9arJV73Up00/k5KIO7ICdVD8ecxGOPNkufkwn8HIUAgAxfAHKS+XKYGpeBdAro6lWVUD2H0K5oFwtQUmVAAE5neSgOd+PCsy9gx44BkL5BR0/YeFnQlFgVvYXzRQ8yMgcUXPLwTFskSnA076sYJPbuUDX8d7jkXP3PTFzicKbgxU1FCS1h9/3NKVHG3+PDUC6kgIiWjiCZwuhsfddXCzuS96Hf6xCmaLrW9RYHz4sKLs+XDAOtoLhn6xEA9MxxnCt6EL1ur7quXHcfSKQ6N5ZOjEEOaEsW2GQC1LX7LmvXtGtuGnTY6jktSlqJeQcPPS0Va7rzCgrBmbmKJ15fAkKhFEcm8qB5D27wlNFqlsnsITN7GZ2wh/3KDeT5zcdBldbK6WrE30raRENC4s32GRaKshH9oO4oQrlwxqH+f31xVhIW4shg1GH6yFH8WaITPcjjd956ELxLTPW1zlv3tOOte9rwvd7b8X+FISifetiSAMxgbGRkheJ8vABRpmpug4M2rueVmd8Qbm8LS4QUKsqhnRmRs65ZlKnMFtPDzxvrOBntyaJtRt10bMK6hplECZ6dKmPaXKTAkvs1bWnLLK/1j6oP1czNqutt2XZzMmp0TyJKBVCqGDIpWv6PTJ3dGMdn8sAV59CuqYxo3d9YTqmybcRWnMXFEQBMjgAzk1ULElPXu62tuWXed3oclKrGwImCV5VE84rlZGKR0U5pfMxxu313tzsyJQpV69VdKlrn62VTjiRHVM/MnFQnB2kRXC4JuNiAcQYAC5KqqmZKphBDWwguYDLKSMW7dHquiJeylZBJpZBzzbUz36J5yUk9ruwguYQgG3uWiuqi1PWMDIUaa37NijwuzmiGd43185SsGhY6IwpVN/n0bMWAosPnq40cRQ3VdAxZHht2zI10gi4kjby7lH5fCFHXnzMbNmaDL1fpk6hULCRayKlrKLoUrIGiWHLV7Lw0UQlPdFrKkcoy6JnXkHUykp3CmOemoSRmq3OMtUXnnQvnrDzMQGMwapCfnMTHDi9A4j340E/sRtjHnM61+MX9nbh3axRf3XI/fiC2Q/nMn7j+GDIYG4lsWcF0VsSVRBb07HEUy42Na7ef8upwuup9RKp64k6aE/zztsV5RWuII65ctn6t6J6rakn0nKWxhTp9sT3DuqzmxPm6lEvAxIjFIPLw1dl6FikLBRQOH4KcVfss2xP5G4rb1HelsFx1PTfGbmQlE4Z3wRIOZ95P1BRJPQeoVFRn8k3tZGw5WLVqIWZkDpAqyqBRRdINF2U1aQplFGltg9H4SutXrXMSUJRE53tddQcavCelGkVyAKCcWsDkiy9CeemZqrZpKgF65rWax1snQAjM5qt46WwlBwoVI8UsuWMv8nnjPtFSnUqriVmgWAAunnZcbNxgIQlMm4zlaedcQSe5Fhzy/Oh8pWS/4mSt2MLzDmVt7tqa9890z+amDY+YfWIjXRRVA7VUxGyJVIxd/bkC8PSJURgfZibV4ituxVXKta+1Ocza3OesTNTJrXTKwaA3ed5tQ/GVnNdxfFLDaF4bA41pmwyGC3Ihj09/6wjGwtvwRwcj6O9g4Xr14AjB+2/vRaYk42/xIFpOfBG3/v2fg/vVPwDhV272lcFYa+hCEqSlFfGciG2wehjsmH/w3UKbrD/xBJOi+/ORdw2PMrdnDuxSKSvA8ek8qFiGeK66cEGZEoAQlE0z3kknL4mt8AUF8GLWB2k6rypVgkmVmI9blSHzxSAc0mYvCGhVQQjRfF0LOZwpeNHlcTMElxFz5JCTBMDqZSyZCqtMVXutkmPjUC5OArRLa8v6vUiBskKQkjkU89bZ+LRMEDLlKKZPnkB1flUD0RouCnVV1T4bCZGgo8bxZmZEATOnq/vveKRto1vzjuPMxKlTF5EucGg1LTdFU0nk/QLo2dMI2C7NZJmv5NLB3Tg15DEV6bhQ9OC6gGh5Jp3EphdOQb9H8shF1MqHqxiT8zjz0lH3/fI5I7K5ESbKfM3TwrREQapmoRZiFCVaLLRkLThEKVU9+aKIKYVH6syYUe3ybCgMOIxF47mjtKoIUBW2QjK1havcuaNa8Zu7ZLmGN6p6pBQVDtM13sfu+XsrC/OgMRgOUErx9X9+AociQ/iFTTIO7BlotkgbBoEj+P27N2F7ewCfvOEXcOryDOiXP7tmLzUGY1XQqnyVtOpfteZQGxnq9sntRowwJ3TloqAQnCpUQsYUqho7tOAe9idTAohlyMXFrbumoJLPoZb/HrXu4DITXpgct1Zgo6Z2NA6bDTbtQprDzSbNRSWW+kqhFFSTmZpuBC1YK1IqoyajNl9drTIXn1fXs9Nm1u1j4lDWjyN5Hy6XPGqIpYk5kcesyUg5UcegMmQsOed0WfYBkFdqG3cL8iInzBzyGhUAObsRYCuFb74mYp37dS5eUfzThcr1Mmz82Um8cvwSXs1WX6srZZOxQZ2eT2r6PywPoGSyFXSKDs+jk0PKFVNoYXGRz1ctpuyeTqe8Uv0rxzDNCuPlxRtodOIKMDZi20gNT35W4azPisPL0OJQJKRyg91enKb2MrLDuDZ52KhDaOjRuXLNdzIhpMo4nHAoXqNPKpTqPFsrBTPQGAwHDn37B/gX327c603hrffubbY4Gw6/wOGhe/vRFfXj4/t/BcNHT4B+40vNFovBWBaqsXMRQG0DLd5Ark4j+7gpFZJCQbVS3rqqcKkkYN7UpnFovdnn+bi6EPRCsvZ+TqS1tssld2PJZFDIlDgq+ovhkjlvyZZfY5/Zt35JLRc0oSmvysxkZR9b5bpG9HGzx28xRvakKOCiaQFhmRKr91CXIZex3huHEu715HKioBA1h6jRBZcdrJOiwlXnpdly28xHHcr6XQupAOqiyhVI1V+1JvkkSpDTF1uGw7NjD2M09Zszdql9zRSTLMV6Snq5hG6POlFh3/NHGWtYoWueqnlsalTdV3vIs4lVSZe35ZXXnXh18IrpBZQM9EIidd5VMgWO5R2WYDB5+J1CufOi08qSpgEhltQCPJZv3S/e5QZzJ5cLM9AYDBtXXj2Gv0x2Y0hO4td/+paqtXUYjRH1C/jIfQMIBP145Ob3Yvo/fgjliceaLRaDsXQK5mR09/dCrUWodRpR5t1Un+dHFtSkehP2GX/j2GKDhXocymq7YfTdHA7opqiZjCiOWD8j57yGWqVNVdmye9kMbEVPqmb2q9qr/Hla81jVUi8diwqsIvNORvvUeO1741LJpN5afImigrmTp9QKlatIzRzDRR5PFdnwpjgNN/MzVXUePeTQ2KHSQKOGjPmUuUWMjUb2PFOwKf2ULi60zwFP3RXFVyCqpVyy3IxF5yRS2vBCcK+6rY9nXprAZYC5S0FBxDoLizcJZqAxGCYyE5P4+Gs5+CHhgz91A3wCy5taDp0hDz5y3wBEXwAfvfX9SD72NSgv/LDZYjEYi6dctoTurUWa+Fn7TLOOpvSINXQbw7PRYDGTxeBYzc++QLMbZqVzrtpDYKGe/lisv/h23QZrnMNe6GPNaURBd/CA2cqhuLIoA7SRkucO2B1vZ+2GiAmajFdvAzFC8cy6fq0QTse+a57bSk5o5So1OgW7qBBHE/XsDwIHj/oKpAQ0soTBonAq1jEzCfMVr87NrdOPhaSlQE7N07tN1JgmoRpOpaCmf+sass2BGWgMhoZULODPHz+JOW8MH7ijCx2xcLNFuioYbPHhj+4dQMITwaO3vg+5L/8t6GsvN1ssBmNxlK1hMLVCtVaKtJuBMHweP8r4cSjrd82HuFj01Cw80gwUCouir6xRuWoDWy5eXOSs6uMqGLM6VFxCHlIjyqbr7H99s6MZamlK5lFwM64cvHluXpMjTqFuGpdLnmoPtZMxr1UhbNRAK1OC1CJz9+y30MlALTvdiI2yRE2dCouoV+3SlL+2ZMyGu9NC1ZRWT6gZ15euuhd5qTADjcGAOuvyT//8FI6FBvGrgxL27GRFQVaS3Z0BfODuTbjibccnDvwqin/3SdCLp5stFoOxZM65ebfWEXXzZNaYJYU/rSJnil5rTttqIi3NA7UkGrxsS/UILQanhbJP1/Ci1WKphXQcoTCMB45QFBuYKzhd8DqWtnc/BcEZfXFvDSfvc718wdVjhc47fGFl2lkJXMZ01Vg3Geznx6o9t+sBZqAxGACe/tZTeMw7hB/3zeP+e25stjhXJQc3hfEbd/TiZKAPf7n35yD+zcdApyfqH8hgrDPWwnu2EhTo+vqJt68t5KS8W1jJNRSXmc/jRiPFXgDUXd+qGayF/9LpUVmqobWSC2WbF0WeEQW8kvPX2FmlkdxSM5SaFl2vwVoYytcMTs85VdzHDqWOFTvXA+tTKgZjDbnwyjF8dqEb10lx/PJP395sca5q7t3agncf6MKh6A78/ZY3Q/6rP3ZYQJLBWN/UXl9o/bBW5aAb5XSDpeRXhUUUQVkMDRtoS8zhWgrFBg2JugbyCtBwSlCtCpyrwSqNh6WwFvehqYQjwFqtg+o0qUNr5OOt4+V/NsavDIOxSiTHJ/GJEyVElSL+4K03wcOzR2K1ecueNjx4XRue6DyAr0VvgvI3j4LWi1NnMNYRTTU0rgHWODPtqqPR4hCza5Cj2LD6W68C52IQlrYA82oQ4OqP5o3ikd+wrGMjrBZMG2Vcs5QLBfzp988iLQTxodf1ItbCioKsFb9wUyfetL0FXx+4D98rd0D53J+rJZQZDMaq0ObZOErKilRP9NUPWWOsPrlmeHGFNcorrENC5qrCep3wcRvn2VwaTfYQztcoAuKyTMV6gBlojGsSRVHwd197FqcDfXjfVhnbh/qbLdI1BSEEv35rD27tD+NzO96CFybyoP/yucZL5DIY64l1NGPvxrx4lYdR2fG5V/ljrB1VixKvBT2b1P+WyS5/GS380hV4hZKa6yXqXBNP5kqE+K5GhNM6VjmYgca4Jnnsmz/CDzyb8TP+Wdxz903NFueahOcIfu+uPuzuDOKvrn8nzr16HPTJbzVbLAZj8XT2NlsChp3llMz3sBDWDYXHNkHC8SDh6LKb9XEUNwTKuDNcrLvw93JYbsst/NpGn7QLzudzlaPBhajrshoTuPWWCWgizEBjXHO8+MJr+FKuE3eK4/i5n35ds8W5pvEJHD70+k1oDfvx8f2/gplvPQZ64nCzxWIwFgfHfkqvKtaqoMEyWU2jYcMwsKVqgoSs0PPYwlMQAvAE4FbRzbXcu+hf4xBJt7N1emp7G4MN5OPVZKnlLjdobYGNKTWDsUQuXBzHJy9y2FGcxW/+7B3gmWLVdKJ+AQ/d2w/RF8DH9v8ysv/wV6BTY80Wi8FYGg6zxV7CFOk1Zzmz7e1dKyfHKnJDcPFewgGv28LWK4w/sDbnAXGPEVxBxXw1wxCX6xgKLNFAc/OE1ZugcJNXchNjkR3s86zwGJXXb55ZLZh2yrhmmJ1P49HnZxCTsvjQA0Pwh0LNFomh0d/iwwde348Jfzv+YsfbIf71o6DZdLPFYjBqMuQXKx+iMfXfUKQ5wtRgUQoPz1eHjC2RlthqXIsGlb3W9qWfYoNM3HmXYDVsXqaBtjesqGXTa9HeVbmGbR3LOl9dCIGr+TS43fp587aaTdWaSFnNEdGw+RKKIGLPiWuJod/TQIijwz3b7Redz97WWbMpt2UBZLd8u0Z+y01GYVUfr1E2xluIwVgmuZKIR799GmXw+MMbg2gdYEVB1hs39oTwP27twdGW7fiH1tuh/O2fgkprNNvLYCwWQuDRFTqCSuU4Bw9aj0eqH96zimE4wQZm2I3ZdEKAaNvKnHilck9MNHyVroU8MlPcXc9Kex1q4a1TgCXaAnCawr3anrQaBhrh7RMNtUdP/1p5F3W0SQSqyV/r/Ft8Ijr8HDrtXi9CGnvM9AkkE+rwcTjYaYLCdLybp6xeyO1yHIU+jqJXH+ODDob2Crw/Wztb3b+sN+ZXAWagMa56ZIXiz//9CMb4CP5nZwKbD97YbJEYLtw/FMNb97The3134PFMGPRrn2u2SAyGM1t3WlUbXUty0JZ8HHAwVB2O5rcYbabjvFbjQlhuiGSo/hIi3fosvC0cqdUtDKoRHJTC5bIcm28pCnh4uXkzK4hdAeYilevbJrjLafZIOF0//0r3kXBAZ7fqiQk4R6ose0xXTlb76+6+yt81EslaBbmmAbEqQcrazdDb7q7hCfMRiuuiDeTCuYZ7VnvFSaSl8UYiFQ+c02jp9UiNh4E6GTuKDPQOuB5CQCv3wN4Xnw8YqO0dbYSBzTWKPW3avOz2Fwsz0BhXNZRS/O/vHsMRpQXvoeex/yfua7ZIjDr8wk2duK0/jC/seAsOH78E5T++22yRGAwDgVBn5bKlVZ0Rb9fCg0whO24zyz6TRsOb27Rp0QGOLqtwBRm6bpEHqP8MekVsaiR8yq2ZVQgVdFMCG1kQeCnwpLq4AQHFkE90OWL1aLUbYa1q+KCPo/DXDM+rbV54Fmv01lpnbPM2EI4D4QWQtg4QQhy9aFKd8vOtjVYmtFsssVbc1m+akPA0tiba3oCILkF29XQ3aqDdEipWb6wzq5DW1v1r5DbU3KezB9i2G+irGDq36fI4eJTJdTdV3Zt2QbacZJdfm1gyXQCnUEYC92vUpk3yUEB9j20ahGdoT3UbLhNJPR4J1wfESvv26xkIgZjH5BLelS28jFhgfayfp8MMNMZVzT//6Dx+sBDAg+nj+PH/+pPqjwVjXcNzBL9zVx+2tPrxyb3/DaPf/ibouZPNFovBAADcFCzDpynDxtuEqsYIae9Sw6q27gC27DCOIQBIMKRuN2E29PaHKgp/zCkFbAXWdaoiFAE2qcpcRRIKvWebfbJFIfRxFGhrPLdrNd62VUqLlltTZaA4vOsblkdXZl3cFTypUWDBgZUInXP0cpn6WMuzEqoT4iqY7r75PE595AJBkBqeUeJx8I50L37sLslj5Q+AdPTAJ3B4/Zaoek2IacSQ2iqv18XT3TCxNhA45FC5TlQs8glxXFRZbUM3LH0CBxKsGDq87thvcLJE9eJV5OrSKzMSqKGrbtR4P1m80P1bVOPdzcj3eI3cyi0RHndHitjhlxDkaGVNOfuzrXsCYzVCFOuwySuvSkj2cmAGGuOq5fvHJ/C1MYo3zJ/Af3vnj7m/EBjrDr/A4UP39MMb8ONjN7wLqc/9FWhirtliMRgVb1iNH3PCC9bJoH23gNxwszUnxuuzGGjm/Xt9tlA28wdzroW21lPN/KOWGLrDDu++rTtBevtBArZZa0qtfTPNsO/wiRDMynm9vAy36m11ihAYp3YwSnibIUZ6+oHtu6sVeofb02hZesJxiFx3PRBuMZmrFbb7RAiL0OVWNLepQY+Qzo3Bkmv4482hEro9Enb6RQQ5BUN+ER2mfaMOxRo8LYtXgoldZn8A6FihSpk1jK4tserxuTewSAOMW4Q3xh8EoE7iNASxf6S4PezggYNmsMqy6xju8zpPGLgOU93LZHuPcYAabmhvJxAGbMZ3m9mA9/pcz6ZPHqgTBZV9LPl0ercEATFBwQ2BEga6KwYh2TRo7GKfaCc+v/qHb+n5jjxQuzhQE4w3ZqAxrkpevJzA3x5fwIHkObz3Px8At4QfFUZz6Qx58KF7BzDvj+HPtv00Sp/9BOg6XlSScW1AXP628/otpoVyHZRIMrjN8gNMYDKMqpQBk2KjG3k8D6LNWve7KGfwCCCdveAd3CvELQzIpv9RjwdEC0cKcgq8/GIUFReDyFsdbtUuyKrnymQABjmKuyNF7AtWnnsnpYUQgt6qa9CYB62FV2qEK2qeUlMFvJtDJXR5FFeP1d5AGaH+ShGqHX4R3kCwssNSZ/k5AaSjB+jfUpGuAaUxylPLXSCm4zlQ7PRL8G3fgYOhMno9MrZ4JXTXMPhbOlpxQ3cQ23yqUbfNJy5uoeRYmyrDGlQ7DXiso4VwHAiANk/j/jndW7isANoGPWgE7uGmCggQjoKYxxJgGFpuI8G+PcgpqiffXuFSF5VQwF6cK6jnEVLT/9Vnx/1MKreHi9ZnVtvtYH8Ldgfcw4RjAgURBJDB7SA33grSvxVoaaueoDCddlvUvfpspE4cL0doTWOfcJzqJezsqdnOSsIMNMZVx6npLP7ihWlsz4zj9+/qhWeL84uIsf7Z1RHA+27vxanoVnzOfwOUf/oM6HIXjWEwVgBCiEk3qD0mLXp0azvQqyrwVcZe3yAAQLCFpBFAVczaOo1jt3srs/R+Qp1Ln1NAWOavvP64tQoyfJxtrVh7pBGvWDx8rmF3DperxyMDkShIVyVRXz/c3AWLfWhSVlt5BXdHnL0PRnsO8uwLltHpkasKmlhm6cNRVTHbusPSiJGfAwA96n1pFRSE2ipGGAEFufEWIKZVxlzq+2tgK0hnj6sS2bB30KnYgb9yHQlRjTrAofpnzyYEunvRGhCwySvjYKiMTV4Z+4Kaot3A+nGko9uQ+EBw+RNuHSEvQi7Kd3vQg9s2Bau2W8awLexYp+K9pSA33Fzztt0cKhn7VhGKWLxwFq/RYuc6eB6d+w9Yt3v9lo/2Ju1j3keo6uF3maBRTRybOepWidOcM8ZVZzq2CTI8xGZoaALZ5doTKGOozY8bo6ZWFKp6+bXzh7dudTAsKw3x0RZ1kqfVtrQDIcDQbtXA6u0HuqqLgfBaU74a4cAkHLW8c1YbZqAxripGkkX8yZPD6Cok8Ie7gMD+W5stEmOZ3Lu1BW+7vh0/6Lsdj4+JoE99q9kiMRiLQlcIoz5ezVPTvAdWA6aSZt9qUzj1T6Stw8jx6eislMInBM4zu5Rif2/9Co7qvpVjbmjlDeVZ36wrC0oNRdUcyjfoFbGzxoy2Hd8N+6sUKyf9VVcDfaGgxdggW4YWXwzFfB5buCYBAKr1nxCQllY1RNWkWbabwgF1L5s5/8fSB90IWkQYlqX6oq86XM88RWC+VoPeegVMrDmUJBoD2bPP+LbHI+NAt786NNKpEqA/WLkmwSA2Rd2XN7DkZnEEIb6OUdlbfzkcD0+wt8M91NbnMEOxPWi6rg59uiNcxAE9TJFSkGDIYnzYC4kEOM377dYdUz+2Wby1zs85gIpBr6GfscobXiP58FaHgiV2Ef02O81DKGCqDkr2HrA8l5ZiPKbGzN5cPTRWN2obiQ7sEBT0Rb1oMTvIbFbxYIsXB/rCuLU/XBXqDED1uG3erlZ1NBMIgnA8SDiqvnsdKosSLV/xxsD6idJhBhrjqmEmW8ZHv3ce3nIBD7VOInbf/c0WibFC/NyNHbh1UwhfGPopHH3yOdAzrzVbJMY1inWR1toKZputyMLebuvsq+sPcD2NZusOcFuHau+joeunnJavdjBUwsFQCft6grhrMIL2oDUvDt19aPVxhvLs1Y7XE/3bAmaF1iqnWqijUmDE02g4ZKwVwXAIt/SH0WmSh7cXYwHAeTy4PlDGTVGrksx194G0185ts0ujG6HE5hkDKh952z0mpupz9vvn37kbuH4/OkLVeWIkHFEr1zmE9vV7JTX3SAv91A1ds0S8w5igDrlC9uMAIMbbq1A6HBNtBbnhoBECGY6GQPbciNv2DqLPI2HQK2Ffp4MhZJtk2N7mr94HADp7wA1srSMFVA/F1h3oPngAre0x7LphBw4c2Gl87bSYdE1F1sHj2CLUrmwpEJun1klebULkTj1nLBJFZUUzE0GtwqDmoTXfxlafLQRT/y7WVtMb6dlauR66d06fOCnJlX75OKjFiRyMuIEWdazdEBNSb04AACAASURBVAX2+MtG6K2HAF0x03vKHzS8yT1+gptDZTXUEEDLJpMniqs8KQFOAdo60Xqd+qxYr7UxLQCyZx8ObG0zeSBt2IqiEEIQ8fHwCxx6teqyxNQ35+kK7VzWj1UQVOe2OSJ41syLxgw0xlVBPC/ij75zDsWyhD/Ca+j+mXc0WyTGCsIRgt+5axMGY178+XU/j9EvfR50brrZYjGuQayFPfS/rMpeTJuW1isL6hPBgk1R4kK2mVx/UFXktu1yPPe2NlVBJrwArpFS0qZiJby2xlCQowhyFDG/AJ4j6NKMiRBPMXjDbmzfbFUMo34P9veGMKDleA21eR1n5q3n1VUL03XxuSjuGhwBgh4ec/mKF277YLchMwB4tu8G19mNNkGBbwnai1390m+Hk2IW8fLYEgR2+UVrKGq01QjDtB92y0AUhOPQGfIYhoS+i48nCAf9jqFlPR41FAz9W4FgCH6tv2bF9nrduDef1LGqXzV2/dwt1ZEEw6ZwPAISjcHn92G7X8Jmn4RYzCGMlpCGXCWkpRWcKQw35HMfv4QXIAg89vWE0NPdhkhbK27SjGnOZqBRQDV6g2GX/CCCm4KluksNuKL3zeStpYBhTBs9Fhw8hx1dIDXy369rc/Ywh3t6qsakYjobMT1Lt21XvVt6qf4q9h4EtlbeJ3qrercCPNAiKKpXKdICwnNWI9vplvIcyNAeeNs7K/mbpjy7AEdxx41b0N+ueZXNfTH+piDRVoRjLaoH0okacaX6JAZvmpSJ6u5AtwGvsb3VwRvtkBfrBOE45zDhVYAZaIwNT7Ig4Y++cw7pkoyH8i9g2y+8i5XTvwoJeDh8+N5BePx+fHzoHVj4P58ELdVRFBmMFcbb3afmAsGku1AYxTM8HMENmjLd65XRLshWL5UJbvtuYIvqCSPBkJrX1tVrUcAAICmrikemWPGYcATwC8Sa06Kxwy+i2yOB9A1UjEKXV2JnyIO7I0UEOIqtrX70R23Ki9eHiI83dByOcBXjiBCETCFPxin0ECKzfmUJV3MIT9INSZOcwsBmo6+7WngQjxecg3VxfVegsr0G9ll0XWknDl4tQoDBYMWDWJG8xnpjDjLol/+2gQju3NoGj1PBFlCQW+42SqF3CDJ6PBK2+SrGqt8pmdAUb2oxIutcitpfU+tOmpJMYu0ggtM4Jo5/Op5X+35bqw/7+9RQ0G6PBGzeXlWK37G/cFZaOZ4D6Ruoem50mSI8rS597yZjJKoWpjBy5fSTVM5sLpXBRWMgu/epuaVQ+0iiMXS1RYCoapztaK/IRXoHsMdfxm5/uWrSQr98N/YEsbsjoBqeWqijkxFzMFSCX+BAOnu0IhcOY4sQ49na5JWwwy8i6OHQZ4SimvxO3X3gbrnb3kJVm5VqiqZttkIoXp6r7OBgaFUcfbWNqXoQUyhoQFteocprSmArbmQ7R6wN3I23On3TVJiBxtjQpIsSHnr8LBJFBX+48Ax2/cp7XH5EGFcDXWEPPnjvAOYCbfiL1rshfvFvWNEQxppCtu6whNJt8koQOIL9vZpRQirGRpCjuC4gOubBAADHcWr406bNINurF25V26goljmx8jdHCG7tj1groRmGo1qd7+7t5jyWJaoePbXzgG50KimuhUCZ101qdJmTmzeZc7gqMuu2iOEJkSr9bg821raTB40cvBOcywK5lQNtR4ZNFToHtgKD26qP2awWM7CHSO7vq85/4QDLOlUcgB1+CV4Hpdw6+biId9/m7YZMNUeC8T617eXmsSU1FF8bfRHVKOgMecBzHEhPPwZ3bQfxeAGBN84f9fEIe63nq5LKshB8DVyKqkR4Rb13dqIxkN7+am+ci+FAiOodJGZPos+Pjl07QDgOHUEBvREvNgXV4zmfDx0eBZ0eRe23uS2jaxy8AgHp7Uewpxf7gyXL8gc6VUVczAxsAdlxPQBgX08Qt/WHsc0nwcepz5hhADt0i3P0eAF9AVsYsOl4IngQ0CZUjDUJtWMlbSeBUGOcG7/bepO25QxIIOh8fzT4IXVB7k5TOLHxbDjc8x3tldxPp0mWem/HvogXB3qrn93VhGmyjA1LtiTj4cfPYapA8eHEU7j+1/5H1QuPcfWxpyuI997eh0+/SPD5iTm85/v/Dv4nfqbZYjGuBWyVEgmAbT4J23t8cFr5iOy7BSjkXJsznFuBIIjgrAAfDJXxo4zfOF8tSEsr6Nx0JcvDTancvtu2gVhnuXWvSXefUZyCbBoEUsmqtngHXY4EguD23KN+4EhVZZHOAAeRl5GSq/vsEzi0CbKlAAdgUtAX5tXPuSzQYP0THd2Lsstfhp/XS5q7XCPANcSKdPao4ageAWTapSS95h2x5zI5eYast8l2gMdjqbKoE7OVtjfaEAREb9oHzJXgGTlX+d7022hxjtm7b3ePxNpA+gbdDXUXZR4AOoIC4qaQ1YiPtyw/QTZvBxEVYCILgKBdkJEAHL2MRrEa/avBbYCigNLai3S7PTTXBUSUtrTj6JTL82n3/pj6ZiyYbEfRxqyDMbstTDAYLoKHyawmRDVCxoZdxeYIEK5XTIVWFnEeavPj4nwRxBcAaVOvdcyvqvp0YKvDum7EKIijI3BEDenMZUAIwUCLF9NZEWFOrxXqfH/6tvYjEA4gFglU+ge1ciSg5kLOavvLCtUMEC1s0x7uPbit5qSO0NGNO1sVCBzBVMZWFMdhQJjzYWmNSkduDryh9toh2qsBM9AYG5K8KOOPHz+D0TzwgZkf4KZff49RipVx9XPfthZcSRXxGO5E1yuP48GBI2q1KQZjlej2SPDtVGd0AwKHbFlRQ6qkgus6RyQQrJlQ7jAf7YyW01U7+qe2+SaYFBR7+BY5eJd1Z0MprfSL9G8F+rcaYcUCoZCc+m0vtrF5CFSSMNDixai2bU9MgFQK4sxs3gjfNLM3AoCzVkyUu1UDoZFQRjfCPMWd4aJqNHGcpZr41jY/YrkSLkc2IV2jT3q5ARLRDQ117w5bGGurX8AM0NCC1parKAgWucjm6mIw1wXKqgHLqeGQRvXMrTtBeB6tkQDuCPogJETHBby2+kScL3pqy2ZEkpKangxrBRfrvewIeiwGmuPh2vF+gUOfR0LCxeDSr24oGkYmmVerLxprLVcOGKoqUmJtTFfNBQJ4tTy4VqcFk6s2WNs50OHDfFwEYDqfbqCZrkPF3iVV15sAID5/VaVUc3+chjvPEesi7q3tUMbmAZ+/ZmEeoi3jYUEPs7QdZ353bW31Y2urH1TygxRyAN9mb6UiSme7SXbVoGsTFBwIlhDiKc5r30X9HuTLLh1sEI/2XjzQG8J8sTLOCC+AdvVC8HkhjV2pLszj0Yq2KDKQzQCEVCaXdt8IjGWAmckly7VSMAONseHIizIe+fZpXMxz+L34D3Hzr72nqrQx4+rnF/d3YS5Twpfwn9Dy79/AG7t6QLr6mi0W4yplp18C16ZOAu3sCCCWExHetB8kMasuZistfilbjqhV7+Zyout6ZWT/7diWlTCclkEIwb7uIFLFOkqvw7Y7trRh7IyTnw/VhSsMT4CDUJrxdiBYQjYcBvK283Zbn8FbN8dQlhQkClaZBQLsDYoQqQjZXh3wwB1qe4QAW3YAsXZEFR6JPNC1fQtw/piDJ8CG3Xhs7wTZ2w/+yIvW7ZpmNjjQDRoWEEMI6QX9Olm19U1Rb9Xixzq7OqwThNvafOgIlN0LIJhFNX/o6AYXDANXLrruT6IxkE09QLGAPQERpG8QUt8WkLGMsY+X50Bb20ETqs9iX08QC1oOY7dHQbfHrZy4S4ijuzRq0YRL85YwTQDoDAkoSD6ML5Qg09pLwFFKERMotgsKuh28FSGe4vpAGbEbb8b0lYoJbQ9X67OX+desPUsgJi8YkxJ3DUZAEgDsj5Q+4atPZpga2OYTEfYLCHll28LJinovOR5tAQGdQQFbDYPR8FtW5LBZok62CkcISCQKmqn0+Q1D7Zg9V3mWSVsnhu5sBb9QtlVZbYCBreCCEZCc9ZoHBK4qd5YIHmDoOuBKGtBS3vTqrjF7vX79mK4+oKMLodPHLNuDXl59dRh9XsbEi49H2FR0ZleHH57uPrQFBDzj8VeNS0DN9dWfDRCuEnUQaQGJcKDrwEBjOWiMDUW2JOPhb53G2TyH30o8izt/9d0g9fIHGFclHCH47df1Y1+bgM9sewte+cevgBYLzRaLcQ3AcwS9ES84jwekZ1P9A0wcMOUgEaIq/Tf1htzDEb0+9LcG0RvxYFeHH7GAgP/P3n3Ht1HefwD/PCd57xU7XpnOJgtCJoRCCJSVMkuAlhFGS6BQaCkJI4QACaUFyigtZYZCgQJtE/gRQsLMJAnZie043nvK1h53z++Pk2RJ1rIt+yTn+369ILZ8Oj3PnXR6vvc8z/cZmeYtGYL9+SPHekkRDsRGqZDqZR6LV9zeo+Bj/g4gp/DOjIH79VdgYB5rDMWqBSTbh1i5zd2yi87JRVyh+51918QGjmGWqXFqLBqXiaT4AEONMrKA2Di5hyWvEEjLQKIgYe6IVHmYX4/UhS4/pmX4TTCV5SPZC9Cz1ydaJfRcR8wHt1GCguAyl9DH9mMmgKVnucWPXos9ejxYfCJYfCJSY9UYkep7vTCnVHsPSFqG/+1cy5M/0mtPH2MMI1LlJDM+n2v/1zFqMC9GcvaMuG2njkK6WoJarcLckSkYn2l/HwSMfz2CoGlnImb2QudcdZXAwGbOlW+yAM7MmCwqGsLshc6bfrEugXlWlCQ35EeMkW8gOKSkQ52VDWTnQiUwTBwW33Oul2t5VfbgzsuQSOecSwY5Q6VrHVx6fBxio9WYmBXfc520AJggeF2eYlZ+Ikb7WjLB8VzICVhmJ5iQneh9egkbVQSW1D0XddKwuO5z59wLXN7AjqGlQVbAi+zEaGeg6hmcqQWXXTuyoAoCPE+QinHnem5Fsd1DKOcXJqEwZXCm0lCARiKGxmTDQxuOodzA8EDHtzj7jhvlNT7IKStKJWDFolEYGQ/8KecCHF//NiUNIWEtMVrlXIPIV/IQAPK6ROlyCm3GGIoy4hAf5buhO97e68DUUfJisx56ldlWcm24eOI9t3O8hp+74PJ8J+a2mDUAIGNY0GVjjLm0t33MD0vLdK7lxeISgPQssMJRiE6Xh2Wx6bPBppwe1Os5JNkb52p/w8d6cXy9Zd7sDe75k6/gXhDktc1OC76+LCFRDky8ZLb0/oTA9Z6YFY9Jw+L8v98D9aDMmA12xgIAcvAb9FBXzyG3KlWPHmPGWHdg6uvlc7wsbpyT75wnNTItBumJMXLwHGyiMkc5CscAo4rc/iRyR6DA5GGvrtsDYGMngtmXzuiv3o4y9Mwd6pnp1J/M+Cj3YK7HDZO+96QFMr8wCbPzk5CTaA+MHXM74+Jclp6QfximFp3LXbhy3JwbDBSgkYjQZrBi5f+Oo97IsVLzDebcfguYl4nT5NQTH6XCqp+OQ1oU8GT0LFRv3KB0kcgpLJjmxYjUGEzNiUeyv56FzBy5lyRI2UndQ60SgxhW59fwQvmuetZw/9v1CNACU7MAY90CcfTqBbkPxphbDwSLjrH3+nkvrdsNHnuvyujsRMwYnuA3QO6NCXFWjI+1eCw94FLmYHfkksBi4Jq1wclKUPscphulYsj0kWnT2R6PjpHn9XnpiQMAJvQMrAD3MD3RS6TQ6yV3fLytvPXquSpMicFp2X5uGNtT7rsmGnL07shBoxpsxFgw+5BJ0d6FphIYkDtC7qF0mTvKMoaBecseCu9JVvxR+r3jZlQRWE6+c3mBUFIJDCqBIUYtYGZuAlhisjxvMybOeQzUAsOcgkSMifE9jNz/jYbQoQCNhL1GrRkr/ncc7SYRj2q/w8w7bvO+3gk5ZaXGqfHYJeMRpVbh0bZcVO/ep3SRCPFJYMyZWW0g9PcmNIuKAhs7yXtPgGsD1mPBVpYS+kZVD37WVvKlZ+IIgMV6/w5JsZ+XlFg12LBcsJlzoUpI8jtMr7fYxKnAmIleszPKG/ScN+WVSu3+rxLsPU8Ts+Ixr7DnENZAHOv0jUiLA5s0wyX5SnAc74LZ+YmY5qWXK2gBDjZTq30shB3k7lPTwU6f7zbcr8c2OXlgM+cB6M72mRqrkntCc/KCDjbPyEvErLyBm/oRxLrkfd4Zi4qWs3sO0lq23oL+aJUAYdosYLS8wDfrz3jLfqAAjYS1Go0JKzcUQ2+2YrVtD6bccQdYdBDj6MkpZ3hSDB6/YAwgqPDwcY7qsurATyIk0nnO3Qi0eS8bwD3Yh3Sx4QVgKWndr5udB4wu8vm0VPuckOQgFwz2yaV3YHZ+Ik73sq6Yq1g1654D52r8aXIQ6pFsJC1OjbkFSUhzzGEZgKVbWHKa8zz0Zrhjvn1obIojWMzOBRtZJP87yN0gbMRYQBDkNcP6QWAMZ49M7pncI9Dre9Q3Ri34nX/lWEfMV5IX75PEPLZISetFCb08vxdrtKbEqjErLxE5fRhOF6VifurppVx9fPP05lls6iywSdN7/sERIMUpO12lx0jLuHjFR2lRFkcStk40a/H45nIIVgueiC3FyJ8v85KNh5BuhVlJeOKc4Xj4q1o8vL0Vq+MTMCo3+MnuhEQaFh0NbnbPyMdmzPGa4INNnQX0M+BgUVFylkXPNYqioyD4WswYQHqcGvMzAKGtv3eju1tSMWoBgW7XJfgYlsiiY+SEIl74S1UeUj4XP5bv2XuewZRYtfs6YoLgzJrZl7m3bFguYPGVzTHAc3Pyep0gZ0AEWe3h0SJyCpMCJ9EYjDnMgkpO8Q45aVCL3ur1fdqbIGswuR4hNu1Mv8mEnNv5Wm4kMVleUNuRpGWQRHsuK+Brw+xcsJx+3tTqo/A8++SUd6CqHQ9/UYlYkx5PZjVg5LXXUXBGglIwYjienBkPlWjDyq21OFLbqXSRyBDAhgWYj6WUidPBRo1zuz6y6BjnXBZX8oLY/b8vy6Kie9515zzgHfXeZpjz+tq9/B4YnzWw62P2dr5PMJwZLHux676Ugo0qAhs/pQ/PDCw70fciw6HQl/r6ff8NYhckO32uM+FJYrQKo9JiMWyAj9dAYAxgsXHOxez7tg8Glp4ZkutSb0SrBMzOd5mb6utmSVIKWJwya+xSDxoJO98XN+L5vW3IM7Ti0fESMs+5TOkikQiTP20y1hl3YfXhTqz+phb3nwXMGeF77D8hgbBR4/z+3dH4G5YwuA0tFhMLhE3wOEiNXEGQF872YmRaDNSMITsxCoz1b2HrYJyRlwCz2Ptel/Q4NWLVDAWeWS37aLDm7ATDtZdvoAV75IMOAILZYaA1+AKVpZ/PHyiD1XE8mKblxMPXxzNQsg/PNfYGGwVoJKx8uq8Krx03YGJXDVbOSUfSzDOVLhKJUNlz5uAp3ed44oQJT38v4GaDiEsn9G8OASG+qAWGuQVJPjPZDVmMYXaCCUJuXI+1wHzq5zAyYdZZPv9WmDK4c5SjVAL6ktwxSiXgzPxE8AZaFqQ/gmlEs0kzgEC9PAGWb3AaMQZs5NC72TchM67XiXAiIZ5LGcBkTAMtcktOhhTOOf71fSk+qOE4U1OC+xePQ+y4SUoXi0S41EU/xequd/F8TRde/5GhvMOERy6iOWmnsi+++AIbNmyARqNBfn4+brrpJkycODEk+x60uUthJlrwXKOMhIJjkWTSU296DINKjONIg++Syt7rvqKivQ4fjnS9GWI5Oi0G5R3msOq17auMODXajP57sZVaxOJUu9dHwpAocbzy+SF8UMNxXvth/GHJDArOSMjEX34d/pDejGsqv8TXFV1Y/tEhtBmsSheLKGDHjh146623cPnll+Ppp5/G+PHj8dRTT6G1tVXpovUwfXgCxmVE1nIiARtsQ6BBF1p+Fr4+82ywUb6zYp7qJHsvrDpE7ykWGycv0O0nDT6R5afEDOow1oE0cVgc5hYM3JIE/UEBGlGU2SbimY/34IuOGFzReQB3/fI8qAtGBH4iIUFijEF1/a+wtIDhgSNvo6KpE/d/XonjLQali0YG2aeffoqFCxdi0aJFyM/Pxy233IK0tDRs3rxZ6aL1kByj6lOK7chAw/q8cZ2/OBR6JwZSWqwaw5OiMDbCbmKQ8CIw5nsRcoUvUxSgEcXoTRY8/v4P2GlJxs2mw/jlssshDMZCp+SUwwQB7IY7MXdCLtbueR4xZj1WflmNj4+2Oe/EkqHNZrOhvLwc06ZNc3t86tSpKCkpUahUoZUQJSAxepC/1oOdu3MKYjPnOhce9vp3j4yU4zNjMb8wye2xhCgBOSHO8MeKJnlfkyqCqASGoow4341rQiIczUEjiuho78TqDUdRrUrBvdFlOGfplZRGnwwoJgjAL5ZjfMxreObbp/DKgruw/gBwqMmA384d7lxIlwxNXV1dkCQJKSnuQ5hSU1Nx+PDhHttv2bIFW7ZsAQCsW7cOmZmZA17GJPsaYX19rQv8PE+tVg9IHczJKZAYR0x6OoSUNL91sNnMsJp0iMkrgNVqhsQk5/OCMVB1GCzeym9MlgOyOB/18ndOPQX9/unHMYz0cwD0vQ79/XyGyql8DgZTiqULJpUZ6elJyEwe/J5aapGQQVddfAIPbixBhyoRK7LbMGvxJUoXiZwimCAg+c4HYVZH4f4v/oTTZl+HN5tn4N7/q8Bv5+diWk6C0kUkA8xz6Bjn3OtwskWLFmHRokXO3wdjnppWq7W/VuiHt2VmZg5IHXhyOtDSDJ3JAmZt9V8HdQz46EnQW0Xwzk5wrRa69nYwqxjUaw1UHQaLt/JLXfLx0oegXtysR05i9IAeo0g/B0Df66DVaqESBubz2Run8jkYTBqNAVqDDR2xNqgt7r3YubkDn8CHAjQyqE7u3IM1xYBViMbjU1SYMPNspYtETjFMECBcdTOQko4LPnwdEyZV4c9jrsSjW2uwZEIabpiehWgaNjPkJCcnQxAEaDQat8c7Ozt79KopZXxmLGyS0qXoHZacCsyY4/ZYjJ9sliyG5gwNlJm54ZnsYKiYW5BIcwNPIdmJUWg12Hq9/ECoUCuEDAouSdjzyadYWRoNlcCw9pxcTJg5WelikVOYcP4SsNt+hxElu/HHH57DT3NV+F9xB+77vBLl7Sali0dCTK1WY/To0Th06JDb44cPH8b48eMVKpW77MRo5CVHdmKQ2fmJFCiQISlKJUAd9GJ/JNJlxEfh7JHJiFVocUsK0MiA4wY9Pn/tfTxlGIVcwYTXbpmPwhE5SheLEAhnng3hd08g1qTHbR+twCPDO6CzSPjdpkp8eKQVokSJD4aSSy65BN988w22bt2K2tpavPnmm2hvb8f555+vdNGGjBi1cMquB0cIIaFCQxzJgBLLS7F+4278N3MWTo/R43eXnYGstCS0tpqVLhohAAA2dhKER56D9OofMeNfa/H8OUvwasFivHuwFXvr9PjtvOEYPmTTnZ9a5s2bB61Wi08++QQdHR0oKCjAihUrkJWVpXTRCCGEECcK0MiA4JIE/Rcb8WKpFbsyZ+GibI5bz50JFQ0PIGGIpaRB+O0a8E/eRtKX/8P9w3/E7Mvuwd8rzLjnswrcPHMYLixKpfkHQ8AFF1yACy64QOlikKwcQNsJxMYpXRJCCAk7NMSRhBzvaEPly8/hgdo0/JAxCbdMScHt502g4IyENaZWQ7hmGYR7VwNGAxa89gc8H3UIEzJj8bc9TVj1VQ2adBali0nIkMCyciDMXggWRb3ThBDiiQI0EjKcc4jbtuKrF1/FH1LOhz4xHY8vGoEl04ZTzwOJGGzyDAiPvQg26yxkfLYej2z7E341QkJpqwl3f1qBjcXtNDeNEEIIIQOGAjQSEry9Be0v/RFP723HC2Mux5iMODy7ZDxOo3WlSARiCYkQlt0HYflKCEYDFr/9IF7QbcHk9Ci8tq8ZK76sQnUnzaMkhBBCSOjRHDTSL9xqhbT5v/j2h2K8OeoiGKPicOP0TCyZmEFDGknEY9PnQJg4A/z//o2MzZ/goQPf4vtzbsbrXaPx2/+rxDVTMnDFpHRE0bpphBBCCAkRCtBIn3DOgcN7cWzDZ3gzYy5OjLsaRckq/ObsQhSmxChdPEJChsXEgF1+A/jcn0D6z3qcvemvmJqagzdm34r3DnF8U9GJ287IprWfCCGEEBISFKCRXuMlR3D0/zbjP8JI7B11LdLUHPfMGo5zRiVDoLlmZIhiOXlQ/XoFeEUpUv/zDu774gmck386Xh/3M6z+2orZ+YlYdvowZCdS0gNCCCGE9B0FaCQonHOYjx/Fzm9243PkoWTYRUhkIpZOTsOSSVmIi6IhXuTUwEaNg+q+NeDFhzDz849w2tePYeOoc/ERzsXyeh0unZCOKydlIDFGpXRRCSGEEBKBKEAjfplMFhzasQ+7SpuwI24kjCnzka2y4NbT0nH++EzEqikwI6cmNmEqVBOmQqg6iSu/+AQLdz6Nf46+EP8RZ2BTcSsun5yJSydm0s0LQgghhPQKBWjEDecc9VorDpTUYW9ZE47YEmAR0hAbn4B5SWb8ZNZITMlLoaGMhNixEWPAbv89stpbce+2L/GzvW/ivYzZeFeajE8PNeDKfAHnz5mA+NgopYtKCCGEkAhAAdopzmiVcKLNiOJWI0rqO1HSZoJWkodmDTfYcD6rwBmTCjBl1mmIjqK3CyG+sPRMsMuWYtTF1+ChIz+ieO92vGsejjfqRuP9D47ifNTjojFJyJ42DSwpWeniEkIIISRMUYv7FCFxjiadFVUaM6o1ZlRqzKjSmFHfZYFk3yZf34Qzu6owjmkxZUIh8i6eD5aarmi5CYk0TKUCps3CxGmzsMZiRumeA9hQpsNG1UhsrOSYs2cTFonVmDo8CaqiiWBjJwJpmbSYOyGEEEIAUIA2pJhtEjqMNjTqrGjUWdColf9t0FrRoLXALHLnttmiDiM6azCvqxbjuqowLi0aSdNmkdQ+QgAAIABJREFUgk0/F2x4voK1IGToYNExGD9/Nn4/H2jWmvDZ3ip8ySZhB6Yi3dyJs7f+iNkffIgisQNC/kiwvBGA49/sXCA+kQI3QoYwFhcPbjQoXQxCSJihAE0BNoljX70OnMs9W/K/9p/R/XNCow1anQ6ixCFyDpOVw2AVYbRJMFolGKwS9BYRHSYRGqMNeqvk9jpqcGQzE3LMHZjcWYfC9iqM0DWgwNCEuIxMsAlTgTkzwMb/Aiw5VZmDQcgpYlhSLG7+yXhcL0rYU6vDV+Xx2BDzE/y38CdI5WbM1FdhcskRTN6xHVmmDjAAiIkDMocB6VlgmcOA1AwgMRksMRlITAaS5H95WprS1SOE9MWUmWCSFHg7QsgphQI0BVhECU99W9en56rAESdIiIOIeMmKBNGEEVYdppk6kaprQ5q+FdnGNuQY25Bu7oIgMCAnH6xwNDBpCtiIJUDBKLB4WlSXECVEqwTMH5GM+SOSoTWL+LFehx/qdPihIQ5fJY4DioB0tYSRggEjrR3I0zUis7MBGQcPI0PTiBjJCu6xz2bGgNh4IDoGiImx/xsr/xsdAxYVDQgqQCUAggps9kKwidMUqT8hpBsTVPJnkxBCXCgWoHGrBXDcNeIcAIez1eH4HY5/ePfjzpYJt28n/yyqGLim3eVvwezLpZnj2E6SAFEERBtgs3X/LIr2323gro+JVq/b+NtHlGjDM0iCINrARBsEyQbBYgEzGyAYDWBmIwSLCQKXwDgHA4eKS4gTzYiSbHAOeIqOAVLSgORUIDkVLC8VSB4LpM4Cy8wBsnLkO+8quvgTEo6SYlRYOCoFC0elQOIc1RozjjYbUdpqRKUmDoe6EmFLKAASAOTKz0lQM8SrOOKYhDjYECfZEAsRksUMQRLBJBGCJEIQbfL1TJLAJQlcBLhFvubxYhGstQ6cAzfNyEJOEi2uTQghhIQLxQI06anfAbWVIdtfa8j2FCIqlf0/tcu/8s+CSo0xjsfU9r9Hx4ClpAJxuUBsHBAbj4TMLOhFCSwuHohLkB+Pi5fvlMcngMXGKV1LQkiICIxhZFosRqbF4uLx8pBFq8jRoreizWhFm8GGVr0N7UYrDFbJbaizQVDBYrVB4tw+RFoeJs0Yum/ogLn9zjrNAACL6NkfRwghhBAlMc45fTsTQgghhBBCSBgQlC5AqDz44INKFyHkhmKdgKFZL6pT5BiK9RqKdQonQ+H4Uh2UF+nlB6gO4SDSyw9Efh0Go/xDJkAjhBBCCCGEkEhHARohhBBCCCGEhAnVY4899pjShQiV0aNHK12EkBuKdQKGZr2oTpFjKNZrKNYpnAyF40t1UF6klx+gOoSDSC8/EPl1GOjyU5IQQgghhBBCCAkTNMSREEIIIYQQQsIEBWiEEEIIIYQQEiYUW6h6oDz22GM4duyY22Pz5s3Dvffeq1CJ+uaLL77Ahg0boNFokJ+fj5tuugkTJ05Uulh98uGHH+Kjjz5yeywlJQX/+Mc/FCpR3xw7dgwbN25EeXk5Ojo6cOedd+Kcc85x/p1zjn//+9/YunUrdDodioqKsGzZMhQUFChX6AAC1enll1/Gt99+6/acoqIiPPnkk4Nc0uD95z//wQ8//ID6+nqo1WoUFRXhuuuuQ2FhoXObSDtXwdQpEs9VJAjXa3Go3hNWqxXvvPMOtm/fDovFgilTpuDWW29FRkbGgJY/0PdCMJ9RpcrusHz5crS0tPR4fMaMGVixYkVYHv9QfI8FU2adToc333wTe/fuBQCcccYZuOWWW5CQkDBg5bfZbHj//fdx4MABNDU1IS4uDpMnT8b111+PzMxM5z6CaScOVPkD1QEI3edWyTpcc801Xp+3ePFi3HrrrQCUPQ+haicM5HkYcgEaAJxzzjm47rrrnL9HR0crWJre27FjB9566y0sW7YMEyZMwObNm/HUU0/hueeec7vIRJLc3Fy45qMRhMjrvDWZTCgoKMDChQvx0ksv9fj7//73P3z66ae48847kZubi48++ghPPPEEnn/+ecTFxSlQ4sAC1QkATjvtNNx9993O39Xq8L5sHDt2DIsXL8aYMWMAAB988AHWrFmD5557DomJiQAi71wFUycg8s5VuAvna3Go3hNvvfUW9u7di3vuuQeJiYlYv3491q1bh6effnrAr9P+vheC+YwqWXYAWLt2LSRJcv7e0dGBBx98EHPnznU+Fm7HPxTfY8GU+YUXXkBraytWrlwJxhj+9re/4cUXX+z3+lH+ym+xWFBRUYErrrgCI0eOhMFgwPr16/Hkk0/iT3/6E1QqlXPbQO3EgSp/oDo4hOJ9o2QdXn31VbffT548iaeffhrz5s1ze1yp8xCqdsKAngc+xKxatYq/9tprShejX1asWMFfeeUVt8fuvvtu/u677ypUov754IMP+H333ad0MULqhhtu4F9//bXzd0mS+G233cY//vhj52Nms5n/4he/4Js3b1aghL3nWSfOOX/ppZf42rVrlSlQiBiNRn7NNdfwPXv2cM6HxrnyrBPnQ+NchZtIuhb35T2h1+v5tddey7/77jvnYy0tLfyaa67h+/fvH9Dy+vteCOYzqmTZffn444/5jTfeyE0mE+c8vI8/5337HgumzDU1Nfzqq6/mx48fd25z/PhxfvXVV/O6uroBK783jrJUVVU5HwvUThys8nPet+/dcDoHvurg6ZVXXuG/+c1v3B4Lp/PQl3bCQJ+HIXl7dceOHdixYwdSUlIwffp0XH311WF5V9wbm82G8vJyXHrppW6PT506FSUlJQqVqv+amppwxx13OLuSly5diuzsbKWLFTLNzc3QaDSYOnWq87Ho6GhMnDgRJSUlOP/88xUsXf8UFxfj1ltvRUJCAiZOnIilS5ciJSVF6WIFzWg0gnPuvCs2FM6VZ50cIv1chZNIuxb35T1RXl4OURQxbdo05/aZmZnIy8tDaWkppk+fPqBl9vW9EMxnVOmye+Kc46uvvsJZZ52FmJgY5+PhfPw9heq4l5aWIjY2FuPHj3duM378eMTExKCkpAS5ubmDVieDwQAAPYaT+WsnhkP5+/u+CYc6OBiNRuzYsQNXXXVVj7+Fy3noSzthoM/DkAvQFixYgMzMTKSnp6Ompgbvvfceqqqq8MgjjyhdtKB0dXVBkqQejarU1FQcPnxYoVL1T1FREe68807k5eWhs7MTn3zyCR5++GE8++yzSEpKUrp4IaHRaADI58lVSkoKOjo6lChSSEyfPh2zZ8/GsGHD0NzcjA8++ACPP/441q1bh6ioKKWLF5Q333wTI0eOxLhx4wAMjXPlWSdgaJyrcBJp1+K+vCc0Gg0EQehxHU5JSXF+TgaKv++FYD6jSpbdm0OHDqG5uRnnnXee87FwPv7ehOq4azQaJCcngzHm/DtjbNDrZbPZ8M477+D00093mxMUqJ2odPlD8b5Rug6utm/fDqvV6jZHDQiv89CXdsJAn4eICNDef/99fPLJJ363WbVqFSZPnoxFixY5HyssLER2djZWrlyJ8vLyiFoUz/VkAvLdOc/HIsWMGTPcfh83bhzuuusufPvtt7jkkksUKhUJxvz5850/FxYWYvTo0Vi+fDl+/PFHzJ49W8GSBeftt99GSUkJHn/88Yic9+iNrzpF+rkKV5FwLY7E94S/74WioiKFStV3W7duxZgxYzBy5EjnY+F8/Aeat8/IYH52RFHECy+8AL1ejwceeMDtb8G0E5Usf6jeN0qfA4etW7di1qxZSE5Odns8XM7DQLcT+lqHiAjQLrroIpx11ll+t/E1YXv06NEQBAGNjY0REaAlJydDEIQekXVnZ+eQGaoUGxuLgoICNDQ0KF2UkHHcZdFoNG7vxaF03gAgPT0d6enpEXHu3nrrLezYsQOrVq1yG04byefKV528iaRzFY4i5Vrcn/dEamoqJEmCVqt1azx1dnYOeqZK1++FWbNmAfD/GQ2nsnd2dmLPnj1YtmyZ3+3C+fg7ygP0/7inpqais7PTrRHKOUdXV9egfHZEUcRf/vIXVFdX47HHHgs4Useznah0+T315X0TLnWorKzEyZMnsXTp0oDbKnEe+tNOGOjzEBG3lJOTk5GXl+f3P9cx366qq6shSVKPbspwpVarMXr0aBw6dMjt8cOHD7uNYY1kFosFdXV1SEtLU7ooITNs2DCkpqa6nTeLxYLi4uIhc94AedhXe3t72J+7N998E9u3b8ejjz6KvLw8t79F6rnyVydvIuVchatIuBb39z0xevRoqFQqtzq2tbWhrq7ObajkYHD9XgjmMxpOZf/6668RFRXl1vPhTTgffyC4a2MwZR43bhxMJhNKS0ud25SWlsJsNg/4Z8dms+G5555DVVUVVq1aFVTbz7OdqGT5venL+yZc6rBlyxZkZWXhtNNOC7jtYJ+H/rYTBvo8qB5zzXEb4RobG7Fp0ybExMTAZrOhpKQEr776KjIzM3HttdeG3bAUX+Li4vDhhx8iLS0N0dHR+Pjjj3Hs2DHceeedIVm/YrCtX78eUVFR4Jyjvr4eb7zxBhobG3H77bdHVH1MJhNqa2uh0Wjw1VdfobCwEPHx8bDZbEhISIAoivjvf/+L3NxcSJKE9evXQ6PR4Pbbbw/bOUD+6iQIAt577z3ExcVBFEVUVlbib3/7GyRJwrJly8K2Tq+99hq+++473HfffcjMzITJZILJZAIgN7oZYxF3rgLVyWQyReS5CnfhfC0OxXsiKioKHR0d2LRpE0aMGAGDwYB//OMfiIuLww033DCg35mBvhcCfUaVLLsrzjleeeUVzJw50y29frge//5+jwVT5uTkZJw4cQLbtm3DqFGj0NbWhldffRVjx47FT3/60wErf0xMDJ599lmUlZXh/vvvR3x8vPNzIQgCVCpVUO3EgSx/oDoE872r9DkIVIf4+HgAgNlsxssvv4yf/vSnmDRpktvzlT4PoWgnDPR5YJxz3q9ahpHW1la8+OKLqKmpgclkQkZGBmbOnImrr766R2arcOdYHLWjowMFBQW48cYbe7zBI8Xzzz+P48ePo6urC8nJySgqKsK1116L/Px8pYvWK0ePHsXq1at7PL5w4UIsX77cuajhli1boNfrMXbsWCxbtsxt4cNw469Ot912G5555hlUVFRAr9cjLS0NkydPxs9//nPF14Dyx9cCmVdddZXzb5F2rgLVyWKxROS5igThei0O1XvCYrHgn//8J7Zt2+a20OpAv28CfS8E8xlVquyujhw5gscffxxPPfUUxo4d61a2cDz+ofgeC6bMOp0Ob7zxBvbt2wcAOP3007Fs2bJ+39jwV/6rr74ad911l9fnORZSDradOFDlD1SHYL93lTwHgeqwfPlyAHLP8t///nf89a9/RXp6utt2Sp+HULUTBvI8DKkAjRBCCCGEEEIiWUTMQSOEEEIIIYSQUwEFaIQQQgghhBASJihAI4QQQgghhJAwQQEaIYQQQgghhIQJCtAIIYQQQgghJExQgEYIIYQQQgghYYICNEIIIYQQQggJExSgEUIIIYQQQkiYoACNEEIIIYQQQsIEBWiEEEIIIYQQEiYoQCOEEEIIIYSQMEEBGiG9tG3bNixYsADJycnIzMzEhRdeiP379ytdLEIIISTk6DuPkMFHARohvdDU1ISLLroIOp0O69evx7vvvgtRFHHxxRfDZDIpXTxCCCEkZOg7jxBlqJUuACGRZNOmTdBqtXjjjTcwc+ZMAMDw4cMxbdo0HD9+HDNmzFC4hIQQQkho0HceIcqgHjRCeqGmpgYAMGnSJOdj9fX1AAC1mu53EEIIGTroO48QZdCni5BesNlsAOQvJo1Ggz179uA3v/kNioqKMHnyZIVLRwghhIQOfecRogwK0Ajpo/z8fOj1egDA+vXrIQjUIU0IIWRoou88QgYPBWiE9NGmTZtQXV2NDz/8EL/85S/R3NyM+++/X+liEUIIISFH33mEDB66/UFIHy1YsADXXXcd/vvf/+LnP/85HnnkEVgsFqWLRQghhIQcfecRMngoQCMkBObOnQuj0Yiuri6li0IIIYQMKPrOI2RgUYBGSB9UVFS4/X748GHnIp6EEELIUELfeYQMLpqDRkgfnHvuuVi9ejVGjRqFbdu24e2336ax+IQQQoYk+s4jZHBRgEZIHyxZsgSPPPIIOjo6UFhYiNWrV+N3v/ud0sUihBBCQo6+8wgZXBSgEdIHzz//PF566SWli0EIIYQMOPrOI2Rw0Rw0QgghhBBCCAkTFKARQgghhBBCSJhgnHOudCEIIYQQQgghhNAcNEIIIWFk06ZN2LJlC1paWgAA+fn5uPLKKzFz5kyv2x89ehSfffYZysrKYDAYkJOTg4suugjnnnuu2zarV6/u8dznnnsOeXl5A1MRQgghpI8oQCOEEBI2MjIycP3112P48OGQJAnffvstnnnmGaxbtw4jRozosX1JSQkKCwtx2WWXIS0tDQcPHsSrr76K6OhoLFiwwG3bZ599FomJic7fk5OTB7w+hBBCSG9RgEYIISRszJo1y+33pUuXYvPmzSgtLfUaoF1xxRVuvy9evBhHjhzBrl27egRoycnJFJQRQggJe30O0Orr64PaLjMzE62trX19mbA31OsHUB2HgqFeP4DqqKTc3NwB2a8kSdi5cydMJhPGjx8f9POMRiMyMjJ6PL5ixQpYrVbk5+fjiiuuwJQpU4LeZ7DfeeEqXN87vRHpdYj08gNUh3AQ6eUHIr8OA/Wd54p60AghhISV6upqPPTQQ7BarYiNjcXvf/97FBYWBvXcffv24ciRI1izZo3zsbS0NNx6660YO3YsbDYbvvvuO6xZswarVq3CpEmTvO5ny5Yt2LJlCwBg3bp1yMzM7H/FFKRWq6kOCov08gNUh3AQ6eUHhkYdBhoFaIR4wUURaGkEWpvA9VoAAIuNA9IygOx8sJgYhUtIyNCVm5uLZ555Bnq9Hrt378bLL7+MVatWBQzSiouL8cILL+Dmm2/G2LFj3fbnesdz3LhxaGlpwcaNG30GaIsWLcKiRYucv0fy3V4g8u9YA5Ffh0gvP0B1GAhtBiuiVQKSYlRBbR9u5e+LSK8D9aARMoi4tgt87zbwg7uBE0cBi8X9744fBAHIHwk2fQ7YzHlAbgEYY4NeXkKGKrVajZycHADAmDFjcPLkSXz22Wf49a9/7fM5xcXFWLt2La655hosXrw44GuMHTsWO3bsCFmZCSGkL442GwEAZ4+k+bGkGwVo5JRna6xDw/tvoHP7NzBDgJQ1HNHzL0VUQSFis7IRm5IkB2BGA9DeAl5bCV58CHzjv8A3vAfkFoItvhxs9kIwNX2kCAk1SZJgtVp9/v3YsWNYt24drr76alx88cVB7bOyshKpqamhKiIhhBASMtSaJKcMUeIoazfhSJMBFR0mNGsMaO3QoZ3FgLN5wJx53RtzANXyf1GCAWlxKqTERiMtbgTScsZg2NgLkSuYMbzmKHJ+2ITot/4CvvFfYBdeCXbWYjBVcEMVCCHu3n33XcycORMZGRkwmUzYtm0bjh07hgcffBAA8N5776GsrAyPPvooAHmNs3Xr1mHx4sU466yzoNFoAACCIDgzNn722WfIyspCQUEBbDYbvv/+e+zZswf333+/MpUkhBBC/KAAjQxpRquE3bVabKvqwuEmI0w2CQCQzcwY1lGLqZZOZA4fhqwZp0NiQIxagMAAq8hhETnMooQuk4gOkw0ak4hmnRUlLUZ0mkX7KxRANfo2FE4UMbq1DGO/3o/TduxA/s+vBxszQbmKExKhNBoNXnzxRWg0GsTHx2PEiBFYsWIFpk+fDgDo6OhAU1OTc/tvvvkGZrMZGzduxMaNG52PZ2Vl4eWXXwYA2Gw2vPPOO2hvb0d0dDQKCgrw4IMP+lz8mhBCCFESBWhkSGrSWbChuANbT3bCaJMwLEGNn4xKxhRbCyZ+/hpSGyvAZp0Fdv0tYKkZvZ6warCKaNBaUddlQZXGjJPtJvwgTcTWRDkVeO5XLTh9RxVmL5yFyQVpEGiOGiFBWb58ea/+vnz58oDPWbJkCZYsWdLvshFCCCGDgQI0MqRoTDa8f6gVX56UhznNL0zGhUWpGJ8sgP1nPfhXnwLDciHctwZs4rQ+v058lApj0lUYkx7rfIxzjkadFfuqOrD3UAc+F/Ow8ftmZMc2Y/GELFw4NhWJQWZpIoQQQgghpyYK0MiQIHGOz0s1ePdgC0w2CeePTcXVUzKQGR8FXl4C6YXnwZvqwM67FOzyXw5ImnzGGIYnReOSKdm4ZEo2DMXHsOuTDfgqZTLeMQH/PtKKS8an44pJ6UiIpkCNEEIIIYT0RAEaiXhNOgte2NmAI81GTMuJx+1nZCM/JQbcZoX0n3+Cf/4RkJbe716z3oqfMAk/uTsPC197FpV7/odPZl2Pj45yfFGmwU0zsnDe6BRKz08IIYQQQtxQgEYi2o/1Ovxpez0kCbh7To4z6OF1VZBefxaoqQCbdx7Yz28Fi08Y9PKxpBQI96zCqE/exn1f/BlLTr8Ab2RchBd3NeKbii7cO284MuOjBr1chBBCCCEkPFGARiIS5xwfH2vHPw+0YERqDFacnYecpGhwUYS06WPwje8D8QkQ7lwJNmOOomVlggB21c2Q0rIw5oN/YE1HJb6+7D68fqQL93xWgXvn5mJWfqKiZSSEEEIIIeGBAjQSccw2CX/Z2YDt1VosGJGEu+cMR6xaAK+vhvTG80BVGdgZC8CuuwMsKUXp4joJ510CnpoOvPZnnPfxOky+4zH8+UcNnvy2FjdMy8KVk9NpyCMhhBAShg416pEQ7Z4cjJCBIihdAEJ6Q28R8dhXNdhRrcWNM7Lwu/m5iIEE6fOPIK25F2hrhnDHAxDueCCsgjMHdvo8CMtXAg01yHn1cTw1PxNnjUjGOwdb8NcfGiFKXOkiEkIUYrZJaDfalC7GgOEWM7hNrh83m8ArT4BzuuYNBVqziBa9VeliDCiNSURdl0XpYpBTBAVoJGJ0mmx4eEs1SlqNuH9+Lq6YlAGcOArpid+Cf7IemHomhNUvgZ2xQOmi+sWmnA7hzpVAfRWiXliF385IwlWTM7C5rBN/3l4PGwVphJyS9jfocaTJ0OfnS5yjtNUIiyiFsFShw/fvAo7slX85WQzeVA/oupQtlMK4JA6JIHV/gx7HW4xKF4OQIYMCNBIRWg1WrPyyGrVdFjy0MB8Lks2QXn8W0jMrAZMRwvKVEH71B7DkVKWLGhR22hkQfrUCqK0Ef/lJ3DA5BTfNyML2ai2e21FPPWmEnIIsYv8+9y16Kxp1VpS3m0NUotDjZkfZTt1rnFXksIoSOOfge7YB1SeVLpKbUAWMbQYrvqvsgrWf7+uhhhsN4McPgoui0kUhYYwCNBL2Wg1WPPRlNdqNNqyam4EZO/4N6aFfge/dBnbxNRBWvww2fU7Ezd9i02aB3XIvcOIYpNefxc8mpOLGGVnYVqXFy7sbh8RdVULI4HFcMiLrUti7wnLOwS2hDUA554N6vd1Zo8XOGp3zhPHmhkF77UC4thP8h+/AtZ393ldNpzwc0GClQMRNdTl4lwbo0ihdkkEhcY7vKrtQH2bDQ7nZLAfKtvAcVk5JQkhYazNY8fCWanSZbFgVX4aiP/8T3GQAm/MTsCXXgWUMU7qI/SKceTakzg7wD18H/+B1XH7tbTDZJHxwuA05SVG4Zkqm0kUkhASpttOMjPgoxEX5v/fJOQdqKoDhBWBRoVtmwxFiDGZ8xqtOgjfXQ5h1Vi+fGORmZhMgqLqPU0MNeE0FMG0WWGy8z+dVd5oRqxIwLDHw8d1ZowUDw9zCpOAKFWpSGA1J7ezo/jcM53ErZUAC+Ii6kdJ3jh7Uqk4zcpOjFSuHxmSDACA51h761FeDd2nA2puBYbmKlcsXCtBI2NIYbXhkSzU6dGY8WvIuiuoPA6edAeGKX4Llj1S6eCEjnL8EUkcr+Jf/A9KzsHTxz9CkteLdg63ITYrGghHJSheREBKA2SahvMOMRp0VZ+QFWDZD0w7eUANmMQFjJ4WsDEr0oPHG2oHd/4HdgCCAOQJAR6+D2Qz4CdAqO+RetmACNJsEKDPkkkZJRAp/sw64ph1ISevFKJ7IPu/VnWZUdphx9shk8GP7AZUabPxpShcroEON8vzes0fa21SC/XyF6ZQSCtBIWNIYrXjks1K0GiU8cvAfmJAZC+H3a8HGTVa6aAOCXXUz0NEG/vFbYDl5uGvOGWjSW/GXnQ3ISojC+Mw4pYtICAlCUEl+HJGUj205530asu3cW/Eh8KJCsGHDe72PwcCtVpdoMognuPYwOY4LD6Nepz4yWiVEcUB1ivSkhAI3yo1sFuc7OB9MXNMOXnIYLH8UkFfYy2e7n3jeWAfUVYGdPi905ZMkgLGQTgFx3PzgnINr5SQ/EfkWZvaRDn6uJWabhBi1MrPBaA4aCTvakmI89v4PaDRIWFm7AVOuWwrhD08P2eAMsC9mfdM9QOEYSP/4M9QN1Vhxdh7S49R48tvaIZ++mBDSP5xzSJIkN8hsNvDKE4P7+m3NwW/c0dL9c28bjqxvd735wT1yAziM7KnT46gxdENcQ2IAul9D2T/BD+0BP7QnhHvs5etXlIKfONb9gNU+r8rctwyWtZ3d8yl5VRm4LbTf9XzP90DxoZDuc8hw9qB5D9AatBbsrtVBZ1FmDiUFaCRs8PZW6F95Bmu2VqJGnYoHhrVj2gMPgs2cG3EJQPqCxcRAWP4QEBcH6aUnkGzR4eFz8mG2cfxpG6XfJ4T4cWA3+NH9AOztjsFOMtQVOKlEdzI/ht422/WORpLzrnfwz+ecg5sM4FVlQW3boreGZM4RlySv++G1leD2uV6doqrfr+Pc74Fd4Ad/cH+s9Aj4kX192VvwW5rN4Cbfy0N0msIrSYik7QJvb+3Vc5xHQxTB21t6/L1Sz9GgDTIJhst7oj/rHh5o0OO7ysDrv/wHAAAgAElEQVTLVPABSkYSLi0Ss01CqyFwYMtbm5w9sAAAZv/s+ehB09jPjcGiTG89BWhEcVwSIX31KUyP3YN10iScSBmB++blYNaFC8FUofvyigQsLUMO0rQaSK+sRX68gOWzc1DcasS7B3t+KRBChh7Pho/EOcw2/40EbjGDS90NYc6DHG45SNqNNuzQxaJTZL3upWmwqrCvXo82vcXluXLdNCYbjjf7Dg4kzgFHr0QQr9uos+J4ixGNuv73ZPA93wPlJT3/YDICLY0hD6LlQMm9J4d3tIHrdb3aT6NVBUsv3jv8wC6gtsrn36s04bXsg/nALvATR0O6z2ojcKLNhH11Oq/rEPKGmh7nBoxBJfT95nOXWdnAV4lE0w1aCw416t0eO9Cgx7Hm7mPLOQdvrJVHE7jStAN1Lu/TAD1ojnGbXKFQlAI0oije0gjpjytgff81/Gn6zTiUOgZ3z83F/DEZShdNMWxkEdhN9wJlx8HfeRlnjUjCBWNT8cmxduyt690XLSEkNPqSipm3t0Da/a0856qXJM6d6yGeaDNhd61ODjb8Pkf+VwBQblZjR7U2LNZUFCWODvvd6C5R8AiUAjdQdaK8jcEiugxxlBtVhxsNaDHYfNbzRLMeDbt/QKlJDaYKPO3esRZdoIA4WLy1KST76dNrc45jxii02oJv6plFjhOmKBzVyMfBIkr4rrILnabwTEU+ELgk9VijLNhgRG+V0OQR3FvNZtiqyoGSw153xq0WZ48qAPC2Fq+9dES+Fmo8emTNnuvstTSAV52UM75Kop9rtzMC8/FX+e9tBmXe+xSgEcXwH3dAWvNbiPW1eOHiVdgbk487ZmXj3NGU2leYtQDs0mvBd34Fvvk/WHb6MIxMjcHzOxuC6sonhIRY6eHeP8cx58nP8C9fDjUasL1aCwDO4CbQgr8czN7442ixyaMPRIXXU5Q4x/ZqLersayA5wzEfxRIljsNNere1s5zLBzAAQu+GODa263DCFIUma3A50byFiwarGLLrbo+7+t62sVrA9dpe7/uIIQrN1u5mnUXkaLOpUGpyn+emNYt+1iaTj4BF4uBdHdAY5PNW14s1rBq1Fmh72bvDJQm8uSHooaVW0b1XWWcRYfXScxUsg1XE8RaDfBPk8F7wvds8S9jnfe+o1WOvPgYQPRr6Vgt46RGg6qTco+p4pbJj7vPcBgHnHFUac8AbOlwSway96xEd7CtQu9GGLpHJc3H3bAPft93v9ryx1usQXce9oFYK0MipgttskN7/B6RX1kHKzsXfr3gC23RxuHF6Fi4al6Z08cIGu+RasDMWgH/8NqKP7sXvz8qFVZTw3Pb6gHfSCSGh5chWFnA7rw/2MqEFdx++FGUfihMoQHM0T4PJCthlFmG0DvzcCs+qN1pV7j1oHmXtNIvoMIo42W5y349B5/6EYI9pH0eQue59b537EKq+cDZ8JdfAxUcdDu8FP/Jjr1+jQ1ShxNRznSmRux+E/Q167K3T99jOjcUCfvwQWG2lv5J6Vdpmwv6GAPv3VFsJXlEKdLTJrxfg/O6r12F3bfeIkh/r9dhb38vXdFHcpEdzYxt0FqnnUEQvvM4tlCR5SKmXv1k4A7da3YYhQ9MG+OjdkThQcaysV0GnwSr2eVhzs96KKo0ZlRozWvRW38MnK07Iax9WnYBktcIoMXyvjXXeRPJmIJor3q6FjuN+pEPCQUOMPJQ4ALNknxtrkN873GZzP0cKogCNDCpuNkF6+UnwrRuBcy/FW+f/DlvqLLhmSgaumHzqDmv0xjOzY15XA24/IxtHmo3YUNyudPEIIYNEJTDwzg7YLD17cVwbKgZJTr7h74udSyK4tgsHGvTYE6Ih07UWFfQ2H0sGePxulAR7g03+Cz+8z20IkiO4dG2XcjCgvkZOFqW294TZrOBd3cPCfHIbThlES9Ej/uMWM3h1uc9hqmab5HXOkSuNyYbt1Vp5Dl0QrdW+DIntC65p8z0E0z7EjzkauV6KLe3+Vh5K5mv/rj+XHAavrfBdGEcAbr8ZwX/4zm8mUouXBnqgGxh+NdYCTfUuNwLc9dhzSyO4zuOmjaYdaGsGWv1kNC0v7f6ZuX9S212GorbaBFTXt6GyLvhkJnvr9Djc5L233mAVcbzZ4PPmruMtLHGO4y1GHPAVYOu65I+I1Qbe0YpOUS5zcz8yTZs1nTCYe/f8nTVa39mtncOguwOtdh894D/oY7FLFwPHB5/v2w4clm+OKJ2ajgI0Mmi4thPSnx8Gju4H+8Wd+NfEn+HTE524dEIarpuaqXTxwpJnZsefZHLMzk/EOwdaw27iNSFDXW+TLXhLSiFKHGaRwyzJd3wbtJbAPeJmk9wgrHJvsLYbbdhZo3VmG+uwD2v0lwvDUlYK8ej+kKbzrjBHYb/ee7r4Nm8NI8/ymbt7ywQm9zRYjx8C18qZId2WTIuyv05zA/jxQ25zd7zrXTOrx9aVJwCLGfCRAXJ3rQ67avy/LxxZDDVGq++EBCHGbYEzUfKSI+Ani90f87Wtr8f9LFTu+vpc0w5eV+2nMI4JlN3NUt5U73v7UHN8HoLtgaopl7Omal2zlzqiHD/n2PUa4pEE7aS5exiu4yiYTcEPLQXgc2hpWZsJLQabz4yakv0Ms0CfF495nMEcLX9JNri2C7v2FmPP0Sr7752QfvguqJsUAYfRulwI/fVESp7r0dmHOyqdPJwCNDIoeFsLpHV/AGorIdy5Ap9kzMK/j7bh/DEpWDZz2CmRRr+vXDM78r+tw69nZiAhSsBzO+r7d8eQENIr/Nj+Ho9ZRY76gPNzuj+nx1uM2N1kwQ/6WFTYM7/VdPp/PrOngZY8Gi2OxA3ehiP5ujLsajChxBTlsxGpMdlgFTmkPd/3aLx706pOkssmqLxejyq93EjigRqBJoPc1PVooDMGZ68Dt9j3a+/hcbwy72iTe3bEvg1T6lEyP41t3tzgN0D0enn2ETTx8hJwg3uvRbXG3L28QACuvZBcEsH37QCqffduBYs5ejo93lG+5tKZ+plchR8/1K8EGQariBNtxn4sk+Br8XiP3x3H2+w6FDeYRdRddiQIHn/pfvep7T/aOtrBG2vl97S3YZWiDdLubyE2N/h5zcC4KIEb9WAVJf7nSQrM6z2PPrfgRPs1zWT/PDfUygdbG3jZDmazyusb2q+L3at49HIYdC9wm81vr3EoUYBGBhxvb4X054cAbSfYb9fgA9UYvHOgBWePTMavz8yh4CwIbGQRhJvlzI4p//4b7pydjYoOMz443Lu1XAghfdNoVeH7zmhYT5a6BWqlrUaUtZug9deQdmkntOlMgL0BqrXaEzJ43N31bFY4E8sHe6102YHrXWZHA6/VpvLaohIljkONBhxrMQCSFFQGwuP67mbE0WYDytpMOOqa9t5bG4kx34GKvIHXJzO5Eu5P8ExT7kijbfMS9AbTYPNM7ObnmPOKUrlnU9sJbjS4NaD1FhE7dLFosQoeDWsf9W5pBFwSQ0hcDm4PNAY5r0rn0qC1N7BdAx3X4JlLks+FxfU+bvr1OHQ+5unUdPof2SFKHDWdZrdjUt5ugl5yOc4ugTnnXF6EveQIWvbtRalJ7beTq7jFiAatFdper13l/7PlOrerU3TZlktyQgqLJfjAwEtvoefTBCb/YtPrwWsqna/Vs2ByoCiWl/b5pgQASEf2AXXV8lDTIIIjQA4oTZL/46Y1i/4PR4+LnffPvjeqjma5t8uzvB6ZXoGecwZ5bYU8HLXH67o85O090VDjt9c4lChAIwOKa9rkYY26LrB7H8M/dRn416FWnDs6GffOHd6vNUBONeyMBWCXXQe+82ucefRLnDc6BR8fa0NxS/8mrxNCAqu1yMORzM2NbglDrPaGm9/sZ64Nqwr7kDkANm0XeENNwNcW7I0VCQxas9izx85tmpW9YWdPDNGb5BaOoZaBem24zQZeW+F+p51zdJpsqNdaAqal5v4u+5wDDJA4c7bR/DbVHD1qQcRenMvDVH0tqmwRpe65Z725+d5UD35oD1Bd7nzIkQpcI3Y3s9oNVvfK+JurZCdKQZwPbRe4xrUnr2eg0HroEPjxg/IvVWXOZByejmrcgwCfp8pxU0HwvVapt2NY3mFCRYfZmRnPbJNQ22XBYa3g9YkHGg34vkqL2mYNjnWIaLKq0S4GbroWtxiwt07X+4WgXT7Hrr2Srp+jQ4YY589dFi73SJuM8HbcJc7dD4Trz8x3PRxbiQCY3/W6eHexW/rWi8ZtNlSa5aHDVg63jJLeuIZQtRbf2VE1Jhv2N+hR63K9OtluQkmryzXJbfwyoBOBPfpoWOvrfCbr4DYruNEAwezYj/cPq84qwcqB77WxaHe5JvHWJvC6aki67kyp5YeLuz8fjnp6vYklwsd025CjAI0MGN7VIQdnnR1gv3kMr7en4uNj7biwKBV3z6HgrC/YJT8Hm3UW+CfrsSy6Gpnxajy/s77fw0oIIf55Ha1mtQKtTYGHU/kI3iRAnpNSdhzcS4OZN9ejbts2MPv8GAkM+xv0KPPIcOivoIH7buS5PtxogLh3O7jZFHgeSl2VPJ/I9Q50SyPQVBeoOHYM3Og9SHLrQbMHto59HG7Qolzb3WgzS972z30GVxwAP7IP/OAeAPIcvmaXNat2HqxAeaN8N75e633YKTfowe2ZDXtwaSA7ekWjXQ6lxmh1z7JnT0hhdTxk37bRqsJ2Xaxzs30e2Qk9M/XxY/shNXYfe4lzbNfGoNHiEjzpu8C7NPLPQfS0OIrNrPJx6HFIuT2JiJ/vcW+nwTUZhSuLxNBiFfC9NhZtLofe0QNcYe6e4+gMECxm5364KLoNNzXZOAxWCSfagrxB4a0adZXyvo8fhKGm2uu8qANdAkySvSltb9E7rgeN7Trodn7vkU3Qtd4ec5/s/9ZbVDhkkLNxSpzBW+DnSQQDrBYwyMfWNUOrKVDzwCUZS7DLUfSg14If3gsuSWjUWtBqsDqXQdDZz6FV5KjrsritE9fl6OnU62DRtKPGyGCSBLRrtICj59AFN5uAyjK5p7xT43wu4HJ47Ofhxy4Vqu3z+twSith73FwPS61F3f35gD0493IjZ187x06Xz+ZA6uOZIMQ/bjJCemEN0N4K3LMaf2tLxRdlHbh0QhrNOesHxhhw02/AWxoR++af8ZtfrcUjB61468dm/OrMHKWLR0i/bdq0CVu2bEFLizw8Kz8/H1deeSVmzpzp8znV1dV4/fXXUVZWhsTERJx//vm48sor3a4zx44dw9tvv43a2lqkpaXhsssuw+LFi3tXOM/pF5UnwFs7AVUsgDhw0QaovCXL8JE5zd6VxE1GoKIUSJ8s/+7YvKsTZYhCcqt8LFyHOLYbbd7ba5IYYHCQ/a9GIxAVA96lcWbL4xLkTHTxee7P4BwNWiuyE6PkG2uOHkHPhr4u2LW7el7/ucUMFh0jl47Jacm9VaRWL2KU/efDxmjAfrhb9FbkJke71NDLa3D3R480GeReQJMBiEuQv6862oAxEwDIgZDB2l0IUeIQig/KDfWcfLR5LADNRRFoaQTLynE20lmPiNlL9kHOEGUf0sa1nWi2+u6V0ltE7KvXY3xmLIbFq4Dmnr0dGpMICQzVZgG+3nu+eQQN1t4lqQi4d/vuDXoTeEsVpNh48OoWwGJGMeTzV28WkB5gP1yvBRpqYUqRoE9MBzpa5fdurBqISXLftr0VSE0D89Hbxw16l7lkLsfLMbepSwPoYwFLd6B10qRGvVUNRLv2iLkHUiW17YAhBuCe8xQ5bFye99VmU7k8at+3SzAqAd0JfTwDc21Xd9ZL+/8Yk3upGrRWzClIRItVhTJTFFR+EmrIw13loIOB+58j6uvtVF8DLughGo0obZNfa3xmrN+nAMCB1u7318693YGijTPvw2gtXobQmk0e8+a6b/AY/AzB9IxbrRyIcmx+4ih4iw4oPM1tGx85VgYE9aCRkOM2G6S/Py1nObr9AbzQmoovyjS4anIGBWchwKJjICxfCcQlYNI7T+LSUXH4/IQGP9aHJmU2IUrKyMjA9ddfj6effhpr167FlClT8Mwzz6Cqqsrr9gaDAWvWrEFKSgrWrl2Lm2++GRs2bMCnn37q3Ka5uRlr167F+PHj8fTTT+NnP/sZ3nzzTezatSvocjnvkrtwneMjdXXKwxd7scCw31QCLg2O7kQN3dfOIy7ptBlc2v01Fb736dpSam6QA0rPYVNmE6wil+fVQB6CtqNGi7J2U3fmWMfQLG9JCzyyQ3KTUb7r7fqY/d9WmwCNTQA6WsD375J7QBwRGtCjB82T6/yXape5Tz57Cr092NkO1Nd0p3nnHLyuCly0gcG992F7tdZ5vIxWCceMPdcc45UnwKvKnF1FjAFctLmkZO9ZCrdvRIv/gMhg7xlpM9iArk75tTz2WnzSMYer/2OxfE6r6sOuRQ4YTRZwzlF9pBi8uR5S5UkvjW7/O2+zCc7nHKzX4rjrMH/P42exgJ84CpT1THjDjQY5+cbhvd57FT0rbe0eJlfv6GnydpfEX5IQDhhEYKcuFrtaRc8/edu8W30VuH2OJbfZ5B7rhtruYthf17EmmU3i0No/x75GYFtFCeUu2SNdrzHcoPOaMMTZg+k6ctNiQrtNwI7q7usf72gHLzvuNlTUfwW72TgAxuTh1BUnvM6vc/vcuB5zxx/cejy9XKs8Htqli3X2Zjt60xw3Wr6r7EJt1+BmzqYAjYQU5xz8ny8DR36EeP2deLYrF99UdOH6aZn4xfQsCs5ChKVmQLj7EUCvx3Vb/4KCpCi8sKsxcNpZQsLcrFmzMGPGDOTk5CA3NxdLly5FbGwsSktLvW6/bds2WCwW3HXXXSgsLMScOXOwZMkSfPrpp84v182bNyMtLQ233HIL8vPzsWjRIixcuBAbN24MWbmdGfi8Dd1zfOl7NEQdjaaAbV3ndsFdP13vwPfgGkB5TpwHAIsZ3GaVF3oFUNpmdA5Ls0ocTToLvmuRIHKAe2uI1rvPqbNUVfQMGk8eBwAcN0bLvWCOOX0GvVt8FmgimFtjEpDL1qGSe9/ca9XzuZJHL6DZpZFvNMgL8pqNPcpgDXSyJAm8sQ5cIw9ZZQBQVQ401vXI0ugZFFg5g6Wx3q3M3GiQh++ZTeDFh5zP4Rw+E3U4h566lLXUFI1io/v7wiTJPUH+huj25hs70FDfYlMUOouL5V5Kx6LCxp7vVUfDtNXmvYnaZFU762ax2Y+BPeFGjx5LB62m52P1ftL+A3KwHnAyopceNPg/Fjqb96Pq7SkiZ9ipi4HEIWcNdQ6v9RYYyp+I7hGzLuWx94R6vnJZuwl1XuaRcasF/PA+eZRAc72zTq5rv3kO1uwUhe4kPQDQIj9PslrkmxSNtfK/Rvlz4G+pIPk6wICmOvn1nYk5fLwjXQPJhu4kHt7OgmOIsNchuJ4PmozO4djl7eZBzb1PARoJKb7hPfDtW2G9ZCn+KE3C9motbpk5DNdMoXXOQo0Vjobwqz8gurYc91RvRJfJhld+aOxHemFCwosk/T97bx4ux1Ue6L+nlq7qve+9ffdFu64ky5Is7ysGGwPBhMBDmITMhGSSSUgYSH5hmODxGGMDYZtgEmKWAQKEAAlJyGQSkgwYGzB4xzbCtrwvsnbdve/tvev8/qheqrurt7tLqvd5bN2urjp16tSp6u8732bxk5/8hHQ6zfj4uOs+Tz/9NDt27MDnq1gz9u7dy/T0dNlN8plnnmHPnj1Vx+3du5fnn3+efLPVXRdqBUBR+l/ph7vGgpaT8NDJDPPZAtbD1Ra72vo7FaSrtJav2b/grDPVRt8Pz2ZcdixuEKKi8BSKCRwsmE4VbAWhGLdxZC4LM1MsWAJ58kT9md2yJ9Zg1Y558TrSBVmjoFnOr8vdzbjohdmJUzz59Mu2hcLp1uSSQfGxpM6PfnzAXpWfmSp2yqXRZw7WbSonEam57qQlqvpVWvEXgEzZ1rn8oeddhXCreE2PzKvcdyzNbEGttHHkJdtScvhF5Ow0ypzdX7tuVbWCWm6v/hQAnMpXu/g9uGByNKdx90v1Vt+sBadyCo+lfLZgXruDW4bP5EJV7bLaa50uKVyOYtBulmkFyURO4aCLhbJCsfHZmRZp+YvCeJPU8XMFQcIt8Uhtgg833ExTsmazo435PBxKuT/3jXqYl6IqMYXMZjh4uFrhtJznqTzSFdLusXgNL6/4jMpTx20L1txMXdmLRt4CcuK4rdSUFiSEsJXy+YSdoObIIQozU0UFrcn4ClG5iELedi12LjA5r8+ymEjW1/4rPUtOHp+19znu4kosERSk/d6WEvv5cyqdq4gXg+axbFg//Hfkv/wt2Stew0dDl/PokXnecWE/r9vetdZdO2MRu/cj/uPvs/mv/oJfuXILXz+0jQtfmOOVm6Nr3TUPj0Vz6NAhbrzxRnK5HKZp8t73vpexsTHXfWdmZujuro5YicVi5e/6+vqYmZnh3HOrYwmi0SiFQoFEIkFXV/076o477uCOO+4A4KMf/Sim30QgmPH52BaQ+ONxnvFFyOQVwsEwYTGP6TfxKeALxZBSYkajnMxaKEaAyYLBtnAY00VgSCkQjmiEw3bsTE9PD+HJAjm/HcMRCJpkpMKJgkEgmUDpG0AIhXDEYJ4M3V1BQpH6tn3F9mLdPWQtWBAmpr8S4K6HwnR362QjYYSioeTymJaKHgiS85v4QjqBVAKZy2MlZhC93cSiUXJ+k0BIJ6SBqSrgN+vOG4/bi3Kl8/nCYbLFv8NhHV0Bs6gwaIEQqbzF4ykDNakSDkXI+U0i4SCWkPiFQionUBSFYCjIgWSMV8UKmHkVNRBADYfJHrGtdCLgJ6RLwqEgwgwgNaU8jqGQjiYglVcxAU2BfPE71e+nkKkWYiNhg4w0MOcr1zUxFSFbsNgRCFSN5eOW/ferYrZiFkgvYPpNggEfOUtgCoEQgp6urqrjAEJhnQfmVIRhYjrWzfWgfR+QBULROGSTSEMn5AsQCZt0+/1kI/Y9zlm4zq1a4vF43fmd9ysYOkkhaSJ0jRdzEXQTArpGJBIhHu9C0zTi8Tipgw9z1IjQb6qoMm/fy5lT+A1JqHsUoev4dQUtZ1GYmeLBfAzDb59P+ANIIQlH9PIccBIM+NHzElMo6KYB+Vz5HpZQg0EKRcWX1DzC8CP9JqFQCMKVGDTDyhHO2J/9xWvMKipmKEzaHyYcSfJcQsH029J+LBolUBxTNRJG7+khHQm79hNAqGpZGddCIfIJk1A4RE9PD8HgFAW/ifD7kUKih3QOJkwwNExZcw1FtKDP9VwZv4+fLShsD1j89Lv3YhUK5fsYjuhYefArJv5IBFUR+PIWEwUf0gxiagItHEYJh+nujtIdrCi+kanDJPz1SS80w0c4UhlHXzBA9sjzEAnjL6jkJATT8+U+GD6JqUj7fZBJQSZFKBTCFAqhYAg1k6WQqXgXqFaBcDiMZeXLz6CToN9Hyowyb2lsioTRIhGsYy9hJhfK75uMzyChS8y8gh4MMofJlmi4bn4DaLpePk9eM1F9YU7mVUx/zXnDOo8kVLIWjIYszLT9PJbepfnENJZL+yuBp6B5LAvyZw8gv/45Uudewp8MXs8Tx5O865IBrt0SW+uunfEoV16HNXWKX/qXL/LINTfx+QdPsKvPT3+o2eqjh8f6ZWhoiE984hMsLCxw//33c/vtt3PzzTc3VNJqXac7sSI3cru+9tprufbaa8uf06k0CHgmBc9MQ/yJQ0wU082lJ07w8JTt0lYQkjses12nrkzNkppPMK8soM7MMjuXIJ2q/3FPAxO6RUKzV6QnJiWJQy9Cyo7dms0kbUtD8TMFiQhHMAsp5hJpJp/4CT69UNd2JmG3938fThAOh0nOz5JPVeLB0vMJpqYEcs7eb6EgSKcM0k89DkBKybDgyH527LHHiKgW6YLCPBl+ltFdLSCZRIKJCYFMzNrjBqQPHyr3P6Gm0QXl/t55WNCTT7MQSyL0hL36nkozN5NHJudJJnXSBRWfZbEwvwCpNIm5tH28kUQkEkjH2Dycy5DPHkb0DiInjpfPO1dzXqanKmOqL1T+LjI7m2WeTOUaTh5nbjoNUpK4827SLgpRYs7edz6tkc5pJK0cWSlIZzVMv8nk1FS5vRJzIkM6Zdj+VQ432HRirtynO1+aZU82wQNHngfDQNm6jalUqnzvchLXuVXLxMRE3flL9wsoj69zLNJPPkZhfCcvahk2Dg8wMTHBzPQ8P0sa9JkwrqfL517I50mcOokIR8hpgnReIg+/VBMPZM/ludm0a59TagEllySd0UnPzrrHVS7U3K9cHvJ55ufnSYhKm3PpJP96JMeloTTzzz2DiHYRtArcfzLD3LHDXBZKc9SRlW9meppCcUwFKhw5jGzw3No7iYoZamrSnptTU5y8/8csTGH3UQpIp5lVMqTSFuR0OynJwnzdnLsrBVCfLfLFbIF0QeVACky/UnUPE3Np5guCVDJHbnYGRbWLxicSIBOZyngdPsRdz/oIj45wTl8AQ1OYe/apuvkAwPPPkAineTmrciyncbF4sjzXUimDvBQklOK8BV5MwZgvT9rhLjkvs6TTPqy5ObLJZNW1Ti1kSCSyyPn6MQBYKOQ5eHgWNJ14KoHwTSInTlTdh5dTUHKoTicSWELy47lZ9+t5ulJjEEVjVs6X++4kITLMFd27F/J50sVYw9K7VJ5oXoJgOfFcHD2WjHzuSaz//XEWNu3k1m2/ysGJFH90+ZCnnK0i4hffhnbp1bz7x3+OKOS57Z5jzesyeXisYzRNY2BggC1btvC2t72NjRs38p3vfMd131gsxsxMtbvP7Oxs+btm+6iqaq+4L4KqWl8Z91iKgqy4Mc5lCnYq7AZY0nbDkscP27FKJdc7IFmrBBVjjyyADrLs1cXZS+wkGaVmXfpfiyz/K+r75dwvl0M+8WhlQ9lQ6mIAACAASURBVLPaSvmcnc2uRlmeyVq20ti0cBo1mQalnQFudgaZy8BMbQY9BwXHPSy4OZhJqlywjhwqC+PTLaxVpaNSVrVT7IRLXa6ye12TZBnpgsNFMZMpp405nFXtcgNLeN1Ly2pZ5Dj51EF+es+jzPzwu8jEXDkDac4tS96JIzVukTWdK8XRNTjXiazg+VIcZcOYn5qjS/Xwanc7bLunPZL0VbnHzRcatFscyJyEHx3PceLhhxuc36UfxWdWzs9hTZ6qy2q6HIlWGlH+uT/2snu7QthujolZ5rMW9x+eR0qJKDR38X4xo5Mp3uO7EwaPJttf+C2NcMGyYGGu6rsHXiyWFWk2cctlC+DFqZSra7OTZM6qK0HhipQ8kqxXzoCqhClrjaegeSwJefwI1l98iLnuIW7e/Vs8N5Phv185zFUbI2vdtbMKIQTi1/8rfZs38F8O/h0HT6X4h8fdC5F6eJxuWJZFzqUGEcD27dt58sknyTqytx04cICuri56e3sB2LZtGz//+c+rjjtw4ACbN29G0zr4QXbGgTQqPuvgJ9MKj6d85e9bCjfJeZhPIB9rIRQWBdxM3oITx6oSAzRD1gljkh89M8nPkj4WCoJUjbD9qIsQU8qc2Cx9tZybQT58T+PvazvbIA7wwIzk4aRRttLZipiLlOusS1YVjNViVJzCv0s8jVzCIlfpyKM5rWpcn5mqV6gbJnVxnl/AlCNphmVJMnmLFzK6HSfWZr9m7/tJ/cbnn0I+9GPkscPNFf5CgZyEl188QqaooE3n4ECy0v+qRDbSVtSd2Q+BsiLasM8N4rdq+1JFMd18wv01QdpSqupvNTx3Uck6mtWgUHBNoNGwr402OxXSQqGS0r/BO61TXspolNWh5EJdfCTgWhQ7b0lmGiQsqWVqdgGwY/Ua5fBRhPtgFAqybg4UpiaKf7g/+3ZL9pmezWgcms1yMN06JnEh20KLgwYFv21mHAsvJxq4ta4WnoLmsWjk7DTWn32AaT3E+y/4rxxeKPA/rhrh0tFw64M9lh2h6SjveB+vUCe4cuIA3zwwwdMTbRbp9PBYJ3z961/n4MGDnDx5kkOHDvGNb3yDJ554giuvvBKAb3zjG9x6663l/a+44gp8Ph+f+cxnOHToEPfffz//9E//xPXXX192X7zuuuuYmpriK1/5CocPH+b73/8+P/jBD3jDG96w+I62oaCVyWaQllW2OjSkFJjf6tyJaaRlMZ+1ygL1govCJFMLdprr6UlbuXnpOdfm5goKx3IquVb9g/I+zWp1kUoylVcaDktDy9up43aGt5PFgs+1GRSfe9KudwWczDnacArrTgUj4+LqVEXz630qpXAqu7isbc76VlXj2ijzohs1WTKdCQ+yBWmXdoCmltlaHp1vrHDIQ8/BnEu2QwfpguCFE3M8ky4qZVK6JmJgdppMQboWLy8pUy83VH7aUDdna/rpooDU8tRMnunpRNUZ6tT9KTsD5qFi39oQ912parc4J+vamp+r3dJeezUcymp2NlQARenIMNeOPgPwWKJ+fLM174tDNdanY6VSBMkmpUdKipobxfd3aVHIzaJfoYOrbtPcXPu+1k8dbbDnyrB+bHkepxUylcT6sw8wkbb4wBXvYTIluenqEfYMBNe6a2c1IhBEeffN/M4nbuJgZAOfvPtlbrt+61p3y8OjbWZmZvj0pz/NzMwMgUCADRs2cMMNN7Bv3z4ApqenOXGikkEuEAhw00038aUvfYkbbriBYDDI9ddfz/XXX1/ep6+vjxtuuIGvfvWr5ZT7v/mbv8kll1yyPJ2uTVc/M4mI9Tguasq9wKrzmHwOMm0KbLk8TJ5AxuykBy9nNXfl6kgxjfjkSXJJt7Yr/daF7EgYnW/i3ojAthw24Km0zsWhBuNR6nMjilalp0qr6U1Ww8uKXpHZvEJUa/8qp/KKHT+0CPKO46qzSnbQiDNrXo1CkrMk8tRxwCBjCV5oVlphGZltkfS0/ChMnEBGu9zvj1CAQnsKWrP7uwgO/PQJ+gadFr/m5Bd5/91KYizNo7HdfggKBWnXFIw0DzNpy9rkQuld82yNQlablXa25Lpbq0y3gZ3N1VGEmxbjd+RlZE8vmIE2Gu/8TshCATUxzWratTwFzaNjZC6HdfuHOTk5x81XvJe5vMItrxphZ18bD4bHiiO644Tf/T/4g9s/w/t3/DpfvO9lbnlT31p3y8OjLd75znd2/P3Y2Bi33HJL0+N27drFxz72sSX1rYpmrjkTJ5G+GvdAt/poDo7nVMjaFu8HFtrIEjY7UxZG2rF8ueKQUwqIuhXwRdOGZaDKArYUilakdjiY9uFXHEKpI87PlWWKEcq3UZfNlSYucPLISwil0lZtCv2V4qV0B/etkXKlKO6FoUtUucO1OV4N0shXUbRIpiwoKTyP1bgdT+VVwkrl/IupLPpyVqNXr3cVfTa9eCW67VkjbBdjJk7UjH99Cz87vtCwZVOxWsZ8LQuhcF2sXiNajsFks3ILHbXkSqrZotQK4Lk4enSEtArIL32So4eOceOl/40FND547ainnK0zxOAo5/7Gr/OmIz/ijkMp/v3A4dYHeXh4tI/TFcxNEK0p2Nxq1fZwq1gXNxLtKyeuOPrUMtamE1rEbkns2Ky1oCMhq506WJ2yXO21UPjXBW6FzKEtd8RKGx2Ol9NYWftcFpuacLit1lqCX85qHHW47y7mdpVqadXSLKlO6zbbQ0Bl3J314dws0y+/UB8fWEQBFlr0t68Da7QbMpdpqJyV34cnj5WtkW5WycWd+PRIoOYpaB5tI6VE/s0XeOngs9x06R+R13x86NoxtvX4Wx/sseqIrTv5tdecx66Z5/n4nc9yaHJhrbvk4XHmMO1IwuP4wV+sS5THOqRFZkM3ZvJKVVHhlWQ9zrWE051zOdwTl9JGXcIT+8a0sgImCgo9mn3v4/riLEmrYXxyQxYK7VuVW7ldtzhcFZKYuhgbY5GXnm/+ffHel/qRaZKYqCMWNadWX6nzFDSPtpH/+nc8/8AjvP+id4Nh8qFXj7Gpa3UK9nksDm3fRbxnl4GZS/Gxf32CZKZFAIGHh8ciWCVxrFY+yS8xC1wjC8cKs2iXzLWgw9X2n6d83Dvf5HfxxPIlGmiUKnwxtJvNrxVVdfGaJYBolxZKRFNq3ZDbvJWn8mo5yYtAMuVIgqI3yFRYd+plnuPtTsO8FG2NWZ11sYZ2ev9CRm9ZAmNRBEq5DOyLbp4cZJU4tvpeSJ6C5tEW1t3f5fnvfZ8PXPBO9ICfj7x6jLHo8v04eKwc8Vdeww2DcxwRQT777Xs7KuLr4eHRBqtWc7BGGMq2XwPNlTV8FZRrf613lqIgnEY8nvLxRGqZE410kKWwIZ1aO2YmKzXdat2Ms62yerbG16aCtlpW1MUgLauthYJ2LsGtUP2S0YvzsFWM6GJZjAWtnRjHZeY0eUN6rCXpe+/i+W//Ix84//fxBQJ8+NoxBsPtFyv0WHuu+LW38iviJX5k9fKd//vDte6Oh8eZxSJc4RbFci+upDy3Zw8bC1FVGmDZcFNwO1F6OxWmCxZMnnT/rs1kFE4WG/f0VNOaXZ2zrJaq559yrfvnZMFSONgkE2vHqB3MrVJ9wpV6r54mi9SegubRFPnzh3j085/lA+f9Lr5ggA+/2lPOTkeEEPzyr7yaC/LH+FKil0fudClW6uHhcXaxHC5oq0wpNsjjLGF+EYlwkvMuRdkXx8mc2natsJVkPcYbdoTeidxYfa1LSa5yOnN2XrVHW8gnD/DcV7/CB/b8Dr5QkA+/eoOnnJ3GqKrGe375Ukbyc3ziUIDDP31krbvk4XHaoLXp2nRWEo6Cz/tt8FgBFuM+nM/D0Rb19Hp6227uUHZ1asyd0YjTXMFcAzwFzcMV+dyTvPCX/5sP7Pkt/OGQp5ydIQQCJje+fheqAh9+ZIHE00+udZc8PE4LPPGiCZFoewViPRZHOWlCC6IuhYlPZ8G4E7e4WjIt3Cg7SfXvsSTajdvzqMaboR51yEPPcfRzf8Ytu34TPRDk07+811POziAGeqP88eWDnDS6+Pgdz5M71CLVrYeHx5mjoC1F6G2EEGfQAK1D9DYtOPGB+m1jm8DfufI8pK+DjL/K4kTU84NtxLidzorraca4metsvL17A3gKmkcN8tjLTH7649y689cpBELc8uoNjMS8OmdnGru3DPB754Y4EN3MX/yfh7COH1nrLnl4eJyuLLM1IqKucNDPcgiAocjS21hmhOt1iUVdb3il70E75FqUkShe125/dTZTpZ38g0ucA57Lc/sonY7VetfPVkmB9BQ0jzLy5DESn/oQH9z+Nqb9Xdz0Ki+V/pnMtfs28KubfPygZw9f++b3kJOn1rpLHh7rluX6TQ4o7Qm+Yi1z4HeKsjgloBHNrn0dqA0QCq/uKv8aWBSW64xdLoWMNSEx23wOmlJUkru06rZc+167cYlj2reGyWrUrnjlQ7xvRc+1fIpoJ+O9zjW0obFVOY2noHkAIKdOkbrtFj6y6c0cDvbzvleMMB73LGdnOv/h0k1cN6Dw7b5L+M6X/w45N73WXfLwWJdUKw0rrzwJAef6O6/BtdOfZWP3ar+7V1GUWA96ayp52qTqtulc4F0undCvuI+TsRztt9lGXCtAKLq4gxugrJUOYZjVbsptTMOlKFlLvkxR7OJSJlQHLrrtLoCV6XFXcPubufgaTQrRLyOeguaBnJsm98mb+dPh13EwvIE/vGyI/UOhte6WxyoghOAdr9zGhTHJFweu5kdf+BpyYX6tu+Xhse4QTT41xEWIb1dMEYCxyF9o0esSi7QUfL6GVq29gUxRWl1OibVxW8ttQevY/Qrs2KiihB5zsRAtO4q2hINdrJvdrTMYLtfdXFnjX6XxLUZjd8igYtV3ZIkdW3X9rJx1Ui6q7+OmS1F7bSnzqk0MP6aQHQ5Yzc5a+1k0B/UOn8fFxOR6Lo4eq4GcnyP/yffzmZ4reKhrnN+9sJ8rN64/33qPlUNVBO99zTg7Q/Cp/mu4939/GZlOrnW3PDzWFVU/yaMb2zsonWreTovziQ1b29y75thmJ4nUZ/obbJUQYnC04UJ9RJWIRSZzAPBFay0bFcZHuuq29WjLpKKpCgqS+KLak+WV90ADC9GyEute/LEC6I6D7hDGi9keTcVis0OxcSrhyyUcdtROp3F9+cq8dVpOaqe/X3FREJYoY7ftghxpPL87O2Gxw+1Ot6HRqo9u81QptIjxwx6m4GLdUUc3MmSWFpo6SRJS+3lpN+vyUJpdfhcFFZrHz9acN1pcjHGP9Vx+PAXtLEamkhQ+9QG+GtjLXX37edueOK/bXv+D6HHmY2gKN71+nG0ByZ/GX8mDn/+Sp6R5eDQgFl0dDwPFLW06MKDnEU1iTwZDGsO+vHs2OxfhorW40cpC1p7A0ueyuq26Kne2MCm64rBhC7rDyjXsK7bhW2J8dDjK5eGMvbrfDs5U99EehKpB7wBjhlO5bdJW3+Ciugm4K8Dtpt4HhGEiNmyrfFY1iNm/9eXxpJhtr7TPIvrpeu7imAzoec4LVOaj60j19lf+Dkch0OI5s9ytJbVTPKJa9YL4In0US/1u+/CaRCeGIhnx5XEbgVFfnv2BBm7NVf13ntxlJA0DVM11j5K7o4JsW9kb9C3WSixQSgPVjlJTtmbV7Gu1ryAqoXD9NgHdjZLeKIIutcAONwujE01bdaupp6CdpchMGuvPb+XbjPHPw1fw+vEu3rq7Z6275bGGBHSV91+/kzE/fLz7ah797OeRKU9J8/CAisjgVyw2xporB2M+h1DmliLdxYrV9KQAAyPlP7dffhF7+9zjIDQkqs9gs5FvYN2xG+0oSUMryaTNFeXNtW5o3XHUvv66/babOQb1PFFDRegNSryMbGzfstQgzqQThCMxgCie19AUdMelq82GwVikQtlQESueLNzCQtPo3nT3Qe9Q5bOqoDjmqqhRXEOLtKIEi3PQ51aJwdn3nl5bcSzRO1CtsLnhuLZmU9AnXHZo4TZaN1eLlEalbce4mvl7UTDDJiPPBcGiQlA1fyQhf4P5Xu5/5b5sMxtYwFwe+7y0jzdK97UUG9Y/3LT7deNau2hkNo93Lc2aLeHm7wghgKCtXPWYNapJoYOSD9EOrc2KQly36NUd87v0rDpd1BXFU9A8Vh6Zy2F95k/43kKYr296LVdtjPDb5/etmtnWY/0S8qnc8oadDPkFf9JzDT//3Gc9Jc3DAxBFQdkQsvEPtdsXuq/K2mNBw5X/2qaEs0FHoLzQdCKGypXhdN1xXd3Rcl/B3WoF1QJmy1d/kx1EG/FMJfSaZkR3L6bhUGCLK+imAlvNPLUiqdpdyV4nFMU9fsTnIuA2dcGsCGGleLK20rRTL0i2EEFbN1irxBlmlWJeRckysci6dkJRoKsbMbbF3qDpiPHdle9ru6bIRVktuzSLc/xZhn0uQrbzfnbFOaevIuwLRam7b3VuhU4FrUkfhKuCpi7Kdc4qnqntxBtxdyWzlDxFbNlJz7nnVr7YWLR01irmThfH4p9Giz6USiVIivePijUsqlpIREtTYN2YOxQgsXVnwwWESPncdvvDAaXshrrTzHJVl+O95A8QHd/RuBMduPjW3tKSot34Vrt84eb2uAa1Hj0F7SxD5nNYn/8Y957M8/nxN3P+UJA/uHQQxVPOPIpEDJVbX7+DPr/Kh7uv5eBnbkcmF9a6Wx4ea0rQ0DAVq4W7j3D830FfJWmHBe1b0Kqatlstx4M0emcHq93C3NKc1/ax07e/zyEYim27UJcgSWzuclgCWyQtUIrKYNn655Y8oMMVdGcilk5/BjdHq/tbe7iCZGOT5BV11AqGoQhCUbiqNi48GAJjEZk63ZS5ctyXQDgUsNpbKmFR2esE0K1ZaDWDs93M0RfUOW//OPTblryeQPNkELVtNJq5ArgoWLt4UbOvqlaUIReq1JKNW6E7TtxnlY0qdVO+gSVKKAoMN0/LHtAdrYWjtiLc01dWYBXhTAziiBNspqAJUemjtBXCy0NpBvUC+wMZdpq5eqXZRdmquk69fjGFrjiMbqo+qDtOf3cYdF9ZQUOIsoVZiJp72TfAOUORqltUVShd6WQRovo+9wZbJEJRRP2CjNuLQHgWNI8VRObzWJ//OAdemuK23f+J7fEAf3zlMNqa5Yv1WK/E/Bq3vn47XQGNW3qv48BnP4ucn1vrbnl4rBmaAhcGs50nlRCiys3JkqIqPqRT9pddoxr9fIsmn4ps2OKujDRMaFDZeW8gwwU1sW2asDMF+tqxKjjGImaqTZW70lnLroPFTkfU4nmC4foDWrhc2VT62eusZ1VrLGiRoVGpURBrr/6yUIbRGoU+qlpcEqq3fOpC0mcUW+iO24loGlkOIjHMem3FptnP+djmemG6fFzzedMV8LWV/bFZd5yn8CuSHb0BIt0xRAs3TX9RIa9zs2xyrXUZUGuvT1EQTayPznspNB3R3cuOgFV22asSm4ZHEeHGCU6Ev4N4QU1DjG224wa7e0FVbaXQ5YFtKsALqJ2RpT4HVYkqYEtY5aphh9LtYmmuLljudPmzx0443m9lhTEYRtm8HaEoyFK/hUBtYJkWumHLocV32lxWli1+jfrlis+oT9YZbxX7Keh1eafX+UkEgp6C5rEyyHwe6wv/i2efO8JHz/tthqMmN109gqF5U8DDnZ6Azp9cP05vQONDva/hob/4LHLKK2btcXbS6Y9zJQ6t+siK4NGGMtNIugWQJaGi/SyC5Sxkuq9KwWvpKOY4tyFkXazVYNgW0PYHMy1jlcJapb8bu5pbZHRVsLHL4NyaDGxbjRx7BwK2dWJsc+WLUVuwbYUKDJj2Raii4gZVW7PLLH0uKZWxbke6czsWTTiUqBY6AWC7xtW6egKc489WrBI+E2H4G4cdNL3lTdxRVc1lfBoIzbX3ePdONvW2lxzHmejC2U7pz/I4tRC8hapx1Y5+LghmGTez7PA3tkYKKCdicR2BJUjXwxEfl4yGUBTBUNFlWHfKTm0+gr0tiluLBlksq5WFJpk2y4sTth9kKeNpw+6dez5g1/wqp+HvcuQi8AeqnwmrwVxRFNg8TsDQuSiY5qJBs+KRWUrwIRTU/kF3F+Qacpa16NsltBqluyabpRvKnvPthETlRkR9hZROY9uWAU86PwuQhQLyS5/k8JPP8KELfp9IwODmV40QMhbnu+5x9tDt1/iT68cZCWt8dPh67vnMF5HHXl7rbnl4rHuCJSuPQ9LYbOQY8+VBiIoVqISLcKY6lunrhPViivHNRo2bUhNLSK2+F63LbNZa0nQTnMZiBpf32QkzlJ44xLrZ1MC1rxS2NaDniRhqXXvV1iXJWNRwCIkVpSpqFq2QDklKNImR2unI0nZeMMt2R9KCYV+BS0Jp/C4JS4Cygibi/dWCHCDGz3U7ooqxTcONwwiKsYW6kNBTPL/pomQ6LV9NMjg2ijl0RVIZPyGq5G9nb3u0AopoO7F8Ze63og3LiBjZCECfXu8m2RnFg0NhdOc9c3M3VpUqAT1iqPhUBXQfG4w8V12xB2XXvvL3YyGNLd2tFwYaKZgDYR3f9p30n7u7/suSy3JprBz9MhXJiL8yhrHRopul5uOq0SBdraz9RUv+djNPn27RU6s7DTZRbgSEfJVznzsY4txgAUMBU1PL872QKHre5LKInn7o7a+bRyUr+lCw/hqd7G6UKt9JrD7Zndh9fuXDxq11lmkRCLXOiiqEZ0HzWF6kVUD+5W2c+Plj3HLJHyIMg1uvGW3p6+3hUSJianzw9dvZEtX4XxvfyF1f+Gvk80+tdbc8PNYWXa9y/7k0lK6KTzONkrQjbHcgw6wIz85f+t4BxNadiAFbuCplZpOAKoSrOxxQFtiGfQXXZCFlioKSUKvf+UIRnOPPcmEwXYnBaMeo10BKUUtfKBoi3k94z3mwaXtlhxpBuKIcOhqU9YlEqk/uss0ty2Ot65qU9J5/vp0ZEJfEB4DPNJqsttfvv7mrXhks7XWOP1sVe7axN8iuuC3AF2qbKrmKYQuKYutOhEtsnTBMe/Bj3cW0++43q0eTXBlO27GKuladGdFBxFAZj/ur2ilYTutMRXGTxQ4Ohqv7FVhMZsdgqOwK52oh7O6FvkH2DwXZ2dt+nF3LmMpA0J4XXT3V5w26WwVdR3f7uYgNWxCmv8oSuXEwVu3y2NVTFUN12ViYSxs9x9gZlC8di7h7NMUH0Ddvq8RhyUqWEAFsDiu2hhOJMdgTtpWPohWsPmqtmtrxr72bndQ37PZrVeUw/MVrKSULQSgNrZjlNYLyAoysToBS7Kebwhkwq+dk7UKIECBK91gI21013o/m06rarh2lxvlvVw9PQTuDkVYB+eU/Z+rRh7nl8veQ1gxuedVo2R3Fw6NdQj6VW163jXO6df588y/xb3/9f5A/f2itu+XhsWrU/TiPbUEMbyx/1IQtWJQIySz7AxkCooAQAjG6yRYOatupqdtTSuphAQiBLmwXpDp6+hCbxxG9A/XfOdB8OmLrTpRYqcZlsY/9I2iBAKZSDNgPR8vue3WxVw6hp0poqIpnqhZ0hM9gY0+AlcZViCxKy85yB8IfKFsp3QQtse8SW0AWFTfUtgWkonK9259lSM/TrVmMbaiOfQkUNc9aN0pfdwcZ6rbsQDTIClgiVhRiCwDhGIYqGI36qpQrAewbDBLzaxVJVIgq5dtXN0gCn6owalaE5HP9WdtS2j9cHvOSYrLVyNW5u1oS6OlD8TeeF6I7jojECPlUeoMtFpLdSlg42OnPsrWkKKsqYtN2hCO5ymVjYS7aUh1XZyiSAd1i2Fegp8YlURgGophVs8raqPts5XbLDti0DdHTx9bBaNkqoynC3frXhsQvFIV9o+4xeuUSY5vGEX2D9IV8tpXXOb6q0t6JKC6OlHbV3RR7WYmfjXQ1dsEVgpChcsFwkJGAy1NUHLuSK+xIxJZJZdHtemMA4rpVKS4tcM82KeDCK/bTv21L9fZYpZ5vWfnbdg6RrVtd23D2qbTRTUFTd+xuHMO5AngK2hmKLNjK2dxD93HLFe9lWjF5/9WjbGrh8+/h0Qi/rnDTdVvY32/w+S1v5K/+5UHyd/wzss5Z28PjzEWEImiqQAhBsM7c43BJDEdtVy9HDR+HM15lz6JQsiPuZ28gUxbkLFlpa7tZr6AJIWzlrFZBqQ2SL7n8lFbgizEhajSK2HMhIhgmHDAQ/UMITWdvIMOeQK4inI5ttgWx7jgEQ9WWCpd4r/I1CtgQM7hqU4s6XW40TKfYaHvNO8jnsLyoatl65yuu6jdqpTeoc24gx0DR0lner7d5ooFS7FBIlWwp3atCtXJiagoXRgpsKrmkbh6HzeNVJRHcKAmv7XDVxgilhIAjegGQXDAcYlOX2XhhtpTaPxCiL+isg4adTbCctrBkEbE/jp2/l5KHmwhHyrdgYNwWggd9Bc4LVruklSxxYmQTYt/F5e37B4Ps7m+izDuz+EVjtmLWPwTRijubmwUtrjmzrtbfdU0R+E0fVw1UrjumFtjuz7d0p7Rqfvcihmo/k6pm/719N3vO28GegSbK6JadzU8CbOoyCOgql4845kmb6UYVZEcZELcEYVe0eFPD9jPj1NmwJEJVbStvrLu8veLeWe3WHdDVsosq1N+BoGpbe8uxqGVlyW6nR7PshSPNZ//nvC4njoYDuoKID9jK8ubxyi7dcboibvfCZSyDIXuxqqiM7wlk2NLjR9H1tmJcl4vFp5LyWLfIfA7ri39K6tGf8qGrb+CoDHDTVSPs6MBdwMPDDUNTuPGaTXzuviN8m1dy6sAjvOvY5/D96n9BtEiR7eHRDv/4j//IAw88wNGjR9E0jW3btvG2t72NsbHGqaq/9a1v8fd///eu333hC18gGo3y+OOPc8stt9R9f9tttzE83LxYKxQXcS9+BQABzaPjlgAAIABJREFUYO9AgOBChi5/1j05RCAEs9NlhQjcrBIVC1BfSMdyxO7YmeuW7lQjRjbAiRSoChHVYqZYg21D1BbMxe79RAFetGNFasW5UlyX6O5FTp1EaZU1vnbBpmTlUBTbrGOa4O9CDJUUN5cFHiHq2yl9tedCSFWX/bg0lEECBzSFVN6yk0VkYohuP0O6STZvt3XxSJDk0QyO0BmEGagqg9DlEyTyJRe84j4ulhq1Vfbj2uK6mk5Yg4QAsXUXItFcWRyL+qqSqFw6GkIRgp8cStgbGi2MFTs96Csw1Kciiv0M+VQuHglx/+H56gyFZoBtF5xrJxBx1hXbeyHn5FUev+9Re//iPO03JBcEMwS7TKpmaLE/oiaLphgcQR47DJSycQqigWpBtzYePtIsPt4MInoHuXJDmB89N1XZHgiU3RVd9ZemSk1lRLpVi5LtIq4VmMyrBH31toygXr0tYmrs6vOjCkGX3/4tLP3bKUFdYSFnvzf6Q/bcK2dAVDWURdSjawd9bBPxiRN123u1AnO64FRBc7UsherGp/mz0WhJV5bcffOVZ0cUSzCUFoIvK7qK3jNfmT9hn8IJ4JywRdCnctFIiAcOz9fd8w0xg56AziPHFuo7UXqeAkGIxBBBHZHMI4GoKumKGjw/1cSVfAXwJKozDJnNYH3uY2Qff5SPXHMjz+UDvO/KIfYNtp/m1cOjGaoi+P1Lh+mPTPK1n53H5Mzz/PGnPkT0d/4AEelq3YCHRxOeeOIJrrvuOrZssd1W/vZv/5YPfvCD3HbbbYRC7vEiv/iLv8h1111Xte1Tn/oUQgii0WoLzic/+cmqdiKRxumxndQl9TI1ZM5XzpRWR1ccXBLqBIqKV1wrMFuwBZvS+1kYJjKTZm8gg+mSsr6tNA01MUelZBpKOEow6OeqXWPVLlA1NE/w0ETwapicRJT7Jcb3wYKKSFuIgC3I66rCmC/HoazetPkercDmgTCioFYV7QbQt4xDIc/OLj8PH1uw06cHQgjTYFusIswKIQgolRgeAPoHy25rlf7KhlfbG9SIGBoDoRbud1ULVgKh6wjdABItM9mNx036Q9X76G0Xm6uO6XPiK6bfjJnVCtBQzGU+aDrCmSi0aOk19l9G4GS9EF9CqbXoRrqgqKD5Fcl5A35CocZWiEtGQ5V4xhrE8BjkbJdgIQR9QR1/0Y1V2XUe4uhCBzlNHZQOMkx6twzD0ZcAOzFJXEuj6fUKo64qlcyHReJtxPYrF78C+fOf2gWsM+77nD8cQkpJ3rIzmQKVIuFdcTumKhQB0tTe5H0DAVu5UySaAJ+uMawkm/SoGM8W60aYfqRQCCoWC6XYVWzFeruZZ3pBxW19Rtb+4VpHrI3lpkgXBGYRfQPwQu0cK1r+XRoZCuvEghkCRbdMU1PQVUGuJuBTCEHIp6AI2GwWeDpXukK786qQFPxBe6HCZSKtdkUqT0E7g5DpFNbtHyb79EE+cd3/5LF0gP/vskEuHg23PtjDowOEELxld5y+kI8/+4nkf/jC3PixDzD0m+9AbG3ttuHh0Ygbb7yx6vO73vUu3v72t/Pkk09ywQUXuB5jmiamI/PdxMQEBw8e5F3velfdvpFIpG2lzEkuGq/bJsLRxgJhSUC3nHEsEkOBy8eCKFMFnsvYAl3ZYnDOeYjUAlGXukn7BoP4tGFEtInLYCQK8eqYNCEEPQGNrKohduxB+JcnQVS/nkcGHCJEfABx6ridjrrKRFOUaqREhKOIVJLadAQbjIKtoNW4YTrZ5c/R1xVgYqJe2CzH4WVaZTBsQ8IKBLEWEtAdR8wfr/taEYLhdtwORzfDiaPVZy9b4ur70bFiEQgDp+xacLqvIsA3sRQJITh/KIi5mPI6RcVLCYYQTZLSKI623TJchn1a49glsLMl1lEcnaExxKGK9XRH3EQeqrnn/gC24tIJxfbj/YjBAWRRQYPmQnmfvogkKYAoprcvWa1d9xECp14odJ3dl+3Hrys8NQf4dNy0pYipESm+CrWtO7gk2oV8+N5KO2YAmXY8Q6GIvWBTckUcHGZ/Ic9z/n6OLVSP7e4wPFLVx4a9b3hd0GSuqypiaAzhd1Hga98JwbDt7lqkNrazYc+E4IoNEeRkgadRnPoZl4UyvBRSeLlBH3sCOodms64JglYCT0E7Q5AL81ifvpXMiy/wsde8n0dTBr9/0QBXL8b/38OjTa7aGKEnoPEndwnet/3t/NEXv8Tea69EvOoNHWWA8vBoRCqVQkrZ0Hrmxp133kkwGOTiiy+u++6GG24gl8sxMjLCm9/8Znbvdklt7UbIfaFLhCPIUippCYxuRISUisCcr48fUxU7imJAz9PviFERuq8qK6HMVSSwiKHCSIuaPj39ru54oxEfzy9A1GwjHkVRa5RKd7abeZQ+R98NA/ZdjDi2AJmCI8au9EcbAlTtO6PT+NYauXBR8bHbdkFwCmH5UYJAvsZlr92uqCqEo8jEbOd9aAfTrCyGOS2KTo3C5fqDvvZjkqpcHl2kcbFzD+LYVNU2Q6+4wYlYN3J6su3zdY6zf8U/gmHITNmLJ86xbzNuC+h83q0SlezbbSojxYQyTW3imgZ7Lqx8VlS7UPZkmmKqGXv75nFC4Sgcd9EKSyeopGN0fFdTu0FrrNxUreucez6kU+Ciw4qePoTW3C19e4/JC9OZstW44dlqszgWP/p1BVLVR4QNlas2dr64t1g8Be0MQJ46jvXnt5KemuQjr3k/jyV13nXJANducanv4eGxzJzTF+Djr9vMR35wiFt3/xZvu/ffeNNjt6D+xrsrCQo8PBbJl7/8ZTZu3Mj27dtb7wxYlsVdd93FVVddhe5QVrq6uvjt3/5ttm7dSj6f50c/+hEf/OAHufnmm9m1a1ddO3fccQd33HEHAB/96EeJRqPE4/U/zplIFKvojhhMa0TifXTFg/T2BMjt2E0kZaLptgAdzoSRVh4zHicdCbM/Av6RxlkYZS5LOmIrhv54vQUPIDc7QT6VwMyr6JEw8eJ+KcdxcWC7ppF3URZLhCfta+jd+wuk7/sBQUVhISvwhSuKqfRphGcrQq9bnyILKqTzdPfEiPl1cguzmP451GCQeDxOLDtHWs3Q3R0mXlzqz27agv/5WdShUcILGYThR2ZSGN3dKLHu8rVomla+PmefS9vMTJ5woqLkdXUFiMcr1kgpJelIGIFAjcXIJ+fQu7rQaq5jRg0zM5Wie1M/0zUWu1jUJB6vVtbDk5Ks3yQc0dGGxpDpFL54nEw0iiWs8nXkDz9HOBLG6OkhnLXd40xdQd++i57N3cylBCmlemwa3Se/rpAqximZmkJvyCAeD5GJxrCKFhK9t7fu2lphFq0X8XgvgQI84zcZ9FvlMa66B/E46a4Up07Ok/Wb7A0XiMd7q+ZsAYtspDJeZjxuK/MdYF12NfnjR/D19ROePlU8dbzq+Qj29BCeUyjkMoSNMNrgMGrfhWR+dj9Q7cqsKArhcOVZyUSimHNJ9OK2dDiCtCrPSqNnL9Xi2Wy1b+38bZctSpqXpsOEc2H0WIxwOty0HXndG8jc90MwTISiYBWV9Gb9PlVIkCBNKBQkbEr8O+2FrPCCPf4jMZNktoCl5+jqjtIT9JGORJC5jH2PiwtU+UyS3HQYLRYjFoiRVvx073ot6mP3EK4ZkxP5BEmRprs7TG/Unofhp+zzXXHdZeiJadShMRCCq5M5NFUQMXUsw0cmEkYJRjCKbcWB8cZhy6TDEcxUoXzPc7MT5JNz7B6OY6pd7OgPMffsZPm5buceLzeegnaaI194GuvTH2QBjY9c9wGeXBD84WWDnuXMY1UZjvj4xOs2c/v9x/hr8Qs8PfkE7/rgewn/2m8j9l+21t3zOE356le/ylNPPcWtt95aH9vSgEceeYTJyUmuueaaqu1DQ0MMDQ2VP2/fvp1Tp07xz//8z64K2rXXXsu1115b/jwzM8uEXl8oVc7NIhN24ob5rI9EIsGMlmVCJiHaQ2J+nmTa/n5ubg6sAvOTk8g5e9vCxETDa5G5XMv95PQ0ci7BuBAQLDBR3E9uOQfy+fJx8Xi8/J0bieI1TM4KrLkEyZROuncDmeL2i0dCZAoGC0P7se7/YcM+zc7OM5+1mJqyyBsqcmaGdCoNC/NMTEwwM5MkkcwzZeTRskUFum+EdDICFizs3I984lFkIsH81BQib2EVx8Cfz1ddQ6nPExP2sncyVyCRqLjATSsZJhzL4FJKezyFQMzMIOcSiOlphFHtUjo9nSaRyDKrZUkkqgOFZkkzoVVvSyQSyFSaxFwaZWccosDEBHJ2tuo6woUCibkE89NTJBK2cC59CvOWZCadYWYmQ2Ihx5SRQ8+6u1GWrrmgKyRLiSS6TeKqZGIijZxLINNJu66eEUQ0uedupFO2e+DkzAwA5567CTM1Xx732nk0PZclkUjTnVvAl8oxMT1VNWflVGWuA8xPTjQtKN6QngGYmKi6587nIzM5RSIxj0wmSaQTCP8MItaLHNwAJ4+VjwMY7u0iQrbyrCQSDFhJhJpmYmICmZhDFirWo0bPntXGM9xs39r52y6b43HCZorEZAIxM0MyL+gN6k2fb3aeB4A88CAylWzZ75mZFIlEjvn5BRLZQnnf8YiFpgh8aoYDswsk0gWmpgrIlIacm0PmssxPTtreAFTeT8I/w2wuRGIhx7SRo8uynwVnP2ZmUiTmc8wYOYycr2qMFnoiYIZgqmKxzQIT8yAXEvY5CrLt+S7n5kinVNKJBBMTOrL0PpibZbA/yOz0lP1c5y0Sc4m6sXL+lqwUnoJ2GiMfvQ/rC/+Lie5RPnT+73FkweKPLhviylU0wXp4lPDrCu+5fIjx+DRffhj+MDrGu7/5dfYceBDxH/5L08QEHh61fOUrX+Gee+7h5ptvpr+/ee0nJ9///vcZHx9ndLSFOyCwdetW7rnnnqV0s4r2vaiWP9o8okqEWflJFz6j4mbZIeLCKxETKUSyIqQamoLRhsSgFV3s8uVCUaUYtObH7RkIOI5pH93h0ldbpLYWUSy6LAaGm7qx+Yo51hu7R1XTE9DQ3WrVRWKQmK3cB+l0q7L/PqcvwGQy716kuAlVnoxuX/QOLM7NfGCkqtB3IBKBDmI2haJW92clvQVLWTY1reGzJ2I9EOupive6eENXtTKjCEZ9BUSrxC+1ba+HxUcpuXxDBzJfIASpZklDqqkd1oAjME7UPdo1zzzYcbFgJ02qX9+qquu3dM/STt6rNSfrHUAkF+xC30XO7Q9Q6NqB0Fu7fK8EnoJ2GiKlRH7//yK/9Ze8sO1iPrz5LaSzcPOrRtk74GVr9Fg7hBC8YUc3O3r93PaTo9y873e5/vCP+bWb343/V34Lsf/Ste6ix2nAl7/85bJy1k4K/BJTU1M8/PDDvOMd72hr/xdffJFYrD1XcNmOpOkoXF3LeNyEU7VxD8tAVVvL065QlKaJHJoxFjWYSScJlNKQ19Q2akTMoVyWE6yI5grGJcXU8yXa6XGpVIJ86dmG+wyHfRiqQm9Q56mJ1gknzukLYL3goqANb7ALBxdTz8tSogNFoZQoxdAUhjqodVbCed1Vc7M0ZouUdreMxVnItp/8ovU0qa1ZtbQ5euloJRZVaLpdJDzWs8SZX9I0Okv64Rbvue7ZvB0mTy5LU5tiJpl8qpLkyK1iRiCEKD5zYiJVv4OzvS4DiWwrG+byUcxWGQjBzr1V33T5NVhkqYTlwFPQTjNkJoP82l8g7/8hD1/wRv40dgUBofCRV49U1Uzx8FhLtvX4ue0XNvHVR0/xL1zBw327+Z1vfos9996J8qu/i+hefX9uj9ODL37xi9x99928973vJRQKMVN0tXJmavzGN77Bs88+y/vf//6qY++66y4Mw+DSS+sXAr7zne/Q29vL6Ogo+Xyeu+++mwcffJD3vOc9y9JvsWsfImfAXNZVWKxKzrBS6ZqXU/FbJDG/Vh1I30LJcmXTOCJywi6A3ITajH8dpcHuG0JMnICu3rqvhLBdxkoEdYWegMahWRcTQOmYPRdCrvp7IQQ464KVFDShAo3jAZthaIJMXja+1Vt3Ik4csS0li2AksvQMdWJ8NxjF617mhBu15QbEBrswtii0p1yZbhWoaxNFrBIhn1JJo79K1Fk4l0DIULlguPN51mhKGJrCzt5FeNosZo5FumA6sS7emY3wFLTTCHnyGNZnP0LhyCH+4TV/xN9mBtgQ8nHTK0dWecXBw6M1hqbwOxf0c9FwiM/cr/GBfb/Dlad+xts/+Mf0XP9LiKt/wc505uHh4Lvf/S4At956a9X2t7zlLbz1rW8FYHp6mhMnquvkSCm58847ufLKKzFckhDk83m+9rWvMTU1hc/nY3R0lPe9733s37+/vY4tq+zWplDQjvAwtAGOH1lad7DjSFdEVtQ0zvVn0HvbtxIJXbdd7TqkE6uf8Afg/Mtb7nfZWBhFwLFE8wrdwh+oq89Wh3Ra0BaHqSlk8gUCusJsuuh65TSgmX4oKi1rRVVyqDrheWUE4rpWGzyvrjVhRzYhnjtYLF0ADI7C4Rcr6fBXiP1Di1OigSUpFsIfKMehtdy3k4bjffa7qO2afWvIlnFgal1nm/YUtNME6/4fIr/+WWb1EH/2+g/x6LzGKzdF+L2LBjr2XffwWE32DQb59PWb+fYTk/z9Y3t5qGcXb7rn+7z+7v9G8K1vR+zat9Zd9FhHfOtb32q5zzvf+c66bUIIbr/99obHvPGNb+SNb3zjkvrmyuYdiGOH7cKx0/WVZ8OGSjJnB9Z3utIrNK2lXih03VEfdvFC25bu9j0wRN8gZNqsNRXvpwugp29R/eqE2qtfDp1aqzHLiaUoGNbSFbQSvQGdRKbAfNZaZbtPAxpd0yqlrG937rvVWRPhCOyrlOQQwxsQwxuWrW/rjt37ES3iPRd128a2IIY3IpTmC68S0LedAz+9bxEnWR6EorJnpGtRca+rhaegrXNkcgH5zc8j7/sBj+56FbePvo65JLzz4n5evSW6pB9kD4/VwtAUfnVPL6/YGOUvHz7BN5TX8p38Am/51r9zXfxfMd76G4i+lc+K5OGxWHoaeCkI0w+bthX30Tg8lyXmiFvY2m0yGPZhagoy2o2cmexo9Vts3WXXA2q2j2EgM/XK4VJopoiITe2VPICi4NzbuJTActKRi2OHtBWD2AK1bxBmZpakoHX7NWbTBQxNIWZqzGcbu12uBmpxLltbdiK63Z4Re9yEptk19rSVETs9Sah9hKJCu1Owg4EVQjS9vyt+jzqUh7vWML6sHdZ3785y5IEHsb7+ORYS83z11X/MHbkeRgydG1811NFqp4fHemEo4uN/Xj3KwVNJvvbISb6k/RL/lJnhFz/3DV69vQf/69+MCHslIjzWH31tZHiLmlpdIVNVEZUg+m07EdlsOZtgO4ie+hipOnadh1iYb7PFM5eVXLCMGBqQocu/eLdsbetORLh7Sf0cjRr0h3R8quKSRW/1MYoxXVlU90y9pc519yGKCxkrQash3T8UZD6zNtn4VpaVufvr167kwmnV2fbxFLR1iJyZxPqbLyB/eg/3b3sFX7rg9Uzn4M27uvnVPXFXE72Hx+nEzt4AH371Bh49nuTvHtX5S+N6vpVe4Bdu/yavHe+i+zXXIwJeRlKPMwuhqNVJI5ar3SWk1F91FqGbCE2zU6W3wd4BO2394bnssnrXRQyVy8fCqEsw0wkh7GtZInUywBoKqKXxsBoNdrm0wMr2o1XzIZ9KyOfFPLfLxphBwZL0acun1DqV6HYXKfYPBpf0zJ3OeAraOkJm0sjv/R/kv/8jz/n7+Mo17+fxQogNfoMbXjXAtp7l/2H38FgrhBCcNxjkvMEtPHkqxT88fJhv6VfzD/MFLv7iv/O6jQF2v/oqFL+nqHl4nCkYReWik3VG0UYyjxJRU8OScHguS8RcXoF8vQmKvQGdl2ez9ATWTpQrDUlDZbiUidNRX2olOPvCPVb2eg1NYVdfAOuF5W9bSlDifYiuHhjZ1HTfkNHBM3yGTQFPQVsHyFwO+ZM7kP/yNxzNqvz9+f+ZH/o2ENZU3rE/znVbY+vuh8HDYznZ0evnxtds4+hcln97+EXuZCv3JAxG//qnvDaa4uprLiDU094KuoeHx9JZKXl3Q8wg6FMaxvQtB11+jYtHQmd8Aq2Qoda51K42pVjFRknuRTAMF165rrPlrQZi935Y43jBtWZDzCBXkPSFdISqIbbvXusurWs8BW0Nkekk8of/D3nHP/FCzuDb5/wH7g1sQlMVfml7F7+8u6e6do6HxxnOUMTHb129nf+Yt7j7oaf5t6d1vpDr42vfOcxVyqNce+FWtm8fOwtXSz081obN3QbdyxhMryqC/lDnhZk75XRUzpYjEclqU147btL1s105g6Kieho6g4iN2+DU8WVpy6faVrnl5/R7btrBU9DWAHnkJeSP/h/Z+37IA8FNfG/n2zlgDOLXFN60PcYv7uiuygLm4XG2YWgK116yg2svgWeeeZl/u/8oP7B6+e5DKUbvvZ9rBlWuvmw3XWHP7dfj9ETsu5jTwSdHE4KA7i0UerhTWitbD8n+N3YZREMReA4Ihde6O6vDCg+76B+Cfi/D8lrgaQGrhJydRj58D9Z9P+C5Uwv8uP88fnDhf2dOGPQFNf7T1i5euz3mBbF6eNSwbdso27aN8p8nJ/nxjx7h+xMKX5kY4q/+6QXOlxNcsznCBRees9bd9PDoCGF4mXjPZnoDGqeS+bXuxpIpuTiuUrmzpoxFDcBAhi9BuBSr9/A4nfAUtBVEzk0jH76X/EP38OzxWR7o2cU9g2/hxFgUVcCFIyFeszXG3oGzN0uNh0e7hHp6eO2bruU1lsXLjx7gzp8f5S6rlwdfNIk8c4DLfXdzyViE3eftRAuehr4kHh7rkHUgd5+R7OwLsKNGq/EX3TJPp0zNLZOErAGecna2cmbJ0Z6CtoxIy4KXnqNw4CFefuo5npoX/KxrKz/rewsLgyaqgD0DQd66IczFI2HCnWSn8fDwAOx4hrH9+/iN/fv4j5ksjzz4GD94fpa78nH+7SUfkWcOcnH2CJf1aew+ZzP6pq0IfeUSEnh4nImImn89lp/aWNoNMYOIqa37ArpOygra2nbj7MN7MM94Tp+3wDolPzXB5L0/5qUnX+CpiSRPmgM8HdlBcvg8ALp9cMlIhP1DIfYOBD2lzMNjGdEMHxdesZ8Lr4BQMMT3vn8fP3kxw93aJr6X9GHel+Gc//cd9olp9vQajG7ZgLJxK/T0eYlGPDyasKnLQIj2CnR7LA9CiGVNyLIalN6jw5GVT/zi4eFO8bf8DEtGc3q9CdYQS0omk3mOHTnJkRcOc+jkHIdScEjvYs4XB18cMSgZNfJcMRhlx2CE8V4/w2GfJwh6eKwCpt/k0kt2c+klkC1YPPr8BI88fZRH1A38lB2Qh8DjKbbdez/bksfYbmTY1uMnNjKEGN4Ag2MQCnvPq4cHoKuKV3vToy2u3OC9N9eM9eRbukaIcARGNkLf4Fp3ZVnxFDQHmbzFqWSOE4kcx+dzHJ1McHxyjmPzeU4WdHKiZP2KYkqTMWOey2MwFBds2DTE1njAS4vv4bEO8KkKF23r46JtfQAcT2R5/HiCp186xVP+DXw7tw2ruOoWfmmB4YMvM7LwU0ay0wzpefpDOn1dIcyuGIRjiEgUwlEIRcAwQfeBz4dQvOfdw8Pj7MZTztaAULH+XSS6tv1YJ4jhDWvdhWXnrFDQCpZkIVtgLlNgKpVnIplnMpljIplnIpFhYj7DZKpAolD9kjELGfpTk4ykJrlQZBgI+xgc7GFw2ybim7ahqirxeJyJiYk1ujIPD492GAj7GAj3cM02u9h1Kmfx3FSa56ZSvHzK4PCkyQOpUe6QjleiBaHjC/S+OENv+kV6M9P0pmfozs7RlZmz/y2kMLeNo/7hLWt0ZR4eHh4eZxsiEoPzL0Nongvymcq6VdBens1wNJHFkrZ7oZSU/7Yk5C1JJm+RyUsyBYt08e903iKVyTGXyjGXyZPISuYLIF0iKsO5JPH0NPHMLOOZGeKZWXpkmv6gxmBXkNjwoB2vMnoRIhBag1Hw8PBYCfy6wu7+ALv7A7Czp7x9Lp3nyFyWkws5TiXznJoLc2ouyvGFYQ5kJGmr/j0SEAW6//l5uv12cH+3X6M7oBExVCKGStjxr19TvNVmDw8PD48l4ylnZzZrpqBZ3/1HmJ4CaRU3WEVfWlsTu5NNfFvZ1FZbQkoMK4dpZTEKWfz5NJHcAptyC0RyC4RzScK5BSK5JDG1QI9fpSdsYnZ1Q38cuuKI7nEYGIZw1BOgPDzOUiKmRsTU2OnynZSShazFVDrPVDLPVCrPdMr+dyplbzt4KsV0Kk/Oco8L0BQIGxoRn0rYUPDrCqZW85+uYGoCVQg0xf5PVQSaAl1zgmRiHlUR1FbmKJ2xNiShsl2Wv3fuu6vP77lme3h4eHh4rCPWTEGTP70Hjh6yy9ALAUKxE7EIBYTgdb4nuFQPoiBQhETB/loREkXTUDUNU1cxdBWfT7eLfvoMCJkQDNvB/qFe2083FLb/DYQQqieIeHh4dI4QgpChEjLUYkFUd6SUzGctZjN5EukCc9kCiYztYu38N5EpMJnM21b/vO0RkM5bNNDtihxd9uv609duZGuP91708PDw8PBYLwgpvRQwHh4eHh4eHh4eHh4e64EVLxrwvve9b6VP8f+zd+ZxUlRX3/9V9ewzPcwMA7KDrK6IS0LihsbliebxjXkUQhRjDEaNYOKSzR2XuO+KS9CYaGLiHk00RkEDAorIADMwzAwDzL72vnd1Vd33j+qu7uquXqdnugfO9/NRpqtrOedW3epz7jn33JxysOsHkI4HAwe7fgDpSAwfB0O7kw65Z7TLD5AO+cBolx8Y/TqMhPwH16puBEEQBEEQBEEQoxhy0AiCIAiZPbjWAAAgAElEQVSCIAiCIPIEw6pVq1YN90Vmzpw53JfIKQe7fgDpeDBwsOsHkI7E8HEwtDvpkHtGu/wA6ZAPjHb5gdGvw3DLT0VCCIIgCIIgCIIg8gRKcSQIgiAIgiAIgsgTyEEjCIIgCIIgCILIEzJaqPrdd9/FV199hZ6eHhQUFGDOnDm45JJLMG3atITHMcbw4Ycf4pNPPsHAwAAqKiqwaNEiXHrppRkJP5xkouMbb7yBt956S/e7NWvWYMyYMcMlbkZkeh937NiBN998E52dnSgsLMS8efOwbNkyTJo0aYQkT51Mddy8eTPeffdd9Pb2orKyEt/97nfx//7f/xshqVPno48+wtq1azE4OAgAmDJlCi666CKccMIJcY/p6OjASy+9hNbWVlRUVOCcc87BRRddBI7jRkrstEhXR0EQsGbNGhw4cADd3d2YN28eRmCq7ZBIV8fdu3fjgw8+QGtrKzweDyZMmIDzzz8f3/nOd0ZS7EOC//znP3j//fdhs9kwZcoU/OQnP8GRRx6Za7FSeretXr0a69ev1xw3Z84c/P73v1c/BwIBvPrqq9i0aRMEQcAxxxyDK6+8EmPHjh1W+fV+L8eMGYM1a9YAUOyFN998E+vWrYPL5cKcOXOwfPlyTJ06Neeyh1ixYoXaZyM5/vjjcfPNN+dl+zc2NuKf//wn9u/fD6vVimuvvRZnnHGG+n222t3lcuHll1/G119/DQA46aST8NOf/hTl5eXDJr8oivj73/+OHTt2oL+/H6WlpTj66KNx6aWXora2Vj3HqlWr0NjYqDnvySefjOuvv37Y5U+mA5C9fptLHZYsWaJ73Lnnnosrr7wSQG7vQyrvz1z3hYzmoP3+97/HySefjFmzZgEAXn/9dbS0tODxxx9HRUVF3OP+/Oc/o66uDsuWLcO0adPg8XhgtVoTGpO5IhMdfT4ffD6fZtsTTzwBjuNw5513DrvM6ZKJjgMDA7jhhhtw3nnn4eyzz4bP58Nf/vIX9Pf34+mnnx5J8VMiEx23b9+OBx98EFdccQUWLFiA7u5uvPDCC/jBD36A7373uyMpflK2bt2KgoICTJw4EbIsY/369Xj//ffxwAMPYPr06TH7ezwe/PKXv8SRRx6Jiy++GD09PXj22WexePFiXHDBBTnQIDnp6ujz+fDKK69g5syZqKurg8fjyXsHLV0d33nnHQiCgAULFqC6uho7d+7EH//4R6xcuRKnnnpqDjQ4ONm8eTOefvppLF++HEcccQQ+/vhjfPbZZ3j88cc1Bl8uSOXdtnr1algsFlx33XXqcQUFBZp335o1a/D1119jxYoVqKiowCuvvAK3240HH3wQPD98STZvvPEGNm/erOmbPM+jsrISAPCPf/wD77zzDq699lpMmjQJb731Fpqbm/HEE0+gtLQ0p7KHcDgckGVZ/Wy1WvG73/0OP//5z3HGGWfkZfvX1dWhqakJM2fOxDPPPIMrr7xSY1hnq93vu+8+mEwmXH311eA4Ds8//zzGjx8/5PWjEsnv8Xjw6KOP4qyzzsKMGTPg8XjwyiuvwOl04pFHHoHBYACgOAbjx4/HJZdcop63qKgIZWVl6ufhkj+ZDkD2+m0udbDZbJr99+3bhwcffBCrVq3CUUcdBSC39yGV92fO+wLLAl6vly1ZsoRt3bo17j7d3d1s6dKlrLOzMxuXHHFS0TGawcFBtmTJEvb5558Po2TZIxUdv/jiC7ZkyRImSZK6raGhgS1evJjZ7faREHNIpKLjE088wR566CHNtg8//JBdc801TJbl4RZxyPzkJz9hH3/8se53//nPf9iPf/xj5vf71W1vvfUWu+qqq0aFbiES6RjJiy++yO68887hF2gYSFXHEI8++ih7+OGHh1GiQ4+bb76ZPffcc5pt1113HfvrX/+aI4nio/due+aZZ9j9998f9xi3282WLl3KNmzYoG4L/W5t3759WOV9/fXX2Y033qj7nSzL7Gc/+xl7++231W1+v59ddtllap/IpezxePvtt9nll1/OfD4fYyy/258xxpYtW8Y+++wz9XO22r2zs5MtXryY7dmzR91nz549bPHixay7u3vY5NcjJEt7e7u67c4772Qvvvhi0mOGW37G9HXIxnOTax2iee6559gvfvELzbZ8ug/R78986AtZGZ7xer1gjCWMnm3duhXjx4/Hjh07sHLlSqxYsQLPPPMM7HZ7NkQYdlLRMZpPP/0U5eXlWLhw4TBKlj1S0XHmzJkoKCjAunXrIMsyvF4v1q9fj1mzZqkjn/lMKjoGAgEUFhZqthUVFcFsNuums+QLsixj06ZN8Pl8mDdvnu4+LS0tOOKII1BUVKRuO+6442C1WvNatxCp6DjayVRHr9eb1vuJSIwoiti/fz+OO+44zfb58+ejubk5R1LFJ967rampCVdeeSV++ctf4vnnn9f85u7fvx+SJGl0rK2txeTJk9HS0jLsMvf39+Pqq6/GihUr8MQTT6C/vx+Akqlhs9kwf/58dd+ioiIceeSRatvnWvZoGGP49NNPcdppp6G4uFjdns/tH0222r2lpQUlJSWa99e8efNQXFw84n3H4/EAQEw62ebNm7F8+XLceOONeOWVV+D1etXv8kH+oT43+aBDCK/Xi82bN+Oss86K+S5f7kP0+zMf+kJGc9CiefnllzFjxgzMnTs37j79/f0wmUzYvHkzrr32WnAch1dffRUPPvgg7r333hFJRxgKqegYiSzL+Oyzz3D66afHGPv5Sio6jh8/Hrfddhsee+wxvPTSS2CMYcaMGbjllltGUNLMSUXHBQsW4OWXX8bOnTtx7LHHoq+vD//6178AKGH78ePHj5S4KdHR0YFbb70VgUAAJSUl+PWvfx13jp3NZkNNTY1mW1VVlfpdvukWIh0dRytD0XHbtm3YtWsX7rnnnmGW8tAhlL4WPXe4qqoKDQ0NOZIqPnrvtgULFmDhwoUYP348BgYG8Prrr+Puu+/GAw88gMLCQthsNvA8D6PRqDnXmDFjYlKUss2cOXNw7bXXYvLkybDb7XjnnXfU35bQtUPvpki5rFYrAORUdj3q6+sxMDCgMULzuf31yFa722w2VFZWauY1cxw34nqJoohXX30VJ554omZO0Kmnnora2lrU1NSgs7MTr732Gtrb23H77bfnhfzZeG5yrUMkmzZtQiAQ0KRAAvl1H6Lfn/nQF4bsoP35z39Gc3Mz7r777oROFmMMgUAAK1euVItJrFy5Etdffz327duHOXPmDFWUYSNVHSPZvn07zGaz7ohBPpKqjjabDc8//zwWLVqEU045BV6vF2+88QYef/xx3HHHHXntaKeq41lnnYW+vj489NBDkCQJpaWlOP/88/Hmm2/mpX6TJk3Cww8/DLfbjS1btmD16tW488474xr30cVA2ChYCjFdHUcjmerY1NSEp556CldccQVmz549QtIeOuj1l3wrqBPv3XbKKaeof0+bNg0zZ87EihUrUFdXl/PMjuOPP17zee7cuVi5ciXWr1+f1/ZAPNatW4dZs2ZhxowZ6rZ8bv/hRq+PjGTfkSQJTz31FNxuN37zm99ovjv77LPVv6dNm4bDDjsMt9xyC/bv368uPpxL+bP13OT6HoRYt24dvvGNb8RkWeXLfcjExk+HTHUYkiR/+tOfsGnTJtxxxx047LDDEu5bXV0Ng8GgqfQ3ceJEGAwGmEymoYgxrKSjYyTr1q3DvHnzNNVe8pV0dPzoo49QXFyMZcuW4fDDD8dRRx2F6667Do2NjTlJyUiVdHTkOA7Lli3Dq6++imeffRZr1qxRDd9x48aNhLhpUVBQgAkTJmDWrFm45JJLMGPGDHzwwQe6+1ZVVcWM2oRSJ6JHivKJdHQcrWSiY1NTE+6//34sWbIE55577ghJemhQWVkJnud1+0s+VeRN591WU1ODmpoa9Pb2AlD6vCzLcDqdmv3sdvuIvw9KSkowdepU9Pb2aqL60XKF2j6fZLfb7di6dWvSAdl8bv+QPMDQ272qqgp2u10z+McYg8PhGJG+I0kSnnzySXR0dOCOO+6IiXBEM3PmTPA8j76+PgC5lz+aTJ6bfNGhra0N+/bt0zhj8cjFfYj3/syHvpCxg/byyy+rSk2ePDnp/vPmzYMkSWrDA0raoyRJeWn0AunrGMJisaCurm5URM/S1VEQhJgRhtDnyGpW+USm95HnedTU1KCgoACbNm3C3Llz88owi4csywgEArrfzZ07F01NTRAEQd1WX1+P6urqvO2HeiTS8WAhmY6NjY247777cPHFF+N73/veCEp2aFBQUICZM2eivr5es72hoSFv5j+m+25zOBywWCyorq4GoBhEBoNBo6PZbEZ3d3fK6fzZQhAEdHd3o7q6GuPHj0dVVZVGLkEQ0NTUpLZ9Psn+2WefobCwUBP50COf2x9A1tp97ty58Pl8mkHblpYW+P3+Ye87oiji8ccfR3t7O+68886UHN2Ojg7Isqzum0v59cjkuckXHdauXYtx48bh2GOPTbrvSN+HRO/PfOgLhlUZ1J9+8cUXsWHDBtx4442ora3VlJcvKFCyJl977TW8++67WLRokarstm3bsGPHDsyYMQM2mw0vvvgiqqur83INpkx0DPHhhx9i3759uPbaa9V985FMdDQYDHjvvfcAKKM6g4ODePnllyGKIn70ox/lnb6Z6OhwOLB+/XoUFxfDYrHg3XffxYYNG3DDDTfEzN/KNX/9619RWFgIxhjMZjM++OADbNy4EZdeeikmTpwYo9vEiRPxySefoL29HZMmTUJTUxP+8pe/4MILL8wbozOadHUEgK6uLlgsFtTX18Nms2H27Nmw2Wx5GyVMV8fdu3fjgQcewLnnnotzzjlHfa4FQdAUKCCGRmlpKd544w1UV1ejqKgIb7/9NhobG3HttddmZS2hoZDs3ebz+fDaa6+htLQUkiShra0Nzz//PGRZxvLly1FYWIjCwkJYrVZ89NFHmD59OjweD9asWYPS0lIsW7ZsWH+XX3nlFfWZ7+npwR//+Ef09fXhqquuQnl5OSRJwj/+8Q9MmjQJsizjlVdegc1mw1VXXZVz2SNhjOG5557DCSecgG9/+9vq9nxtf5/Ph66uLthsNnz66aeYNm0aysrKIIpi1tq9srISe/fuxcaNG3H44YfDbDbjD3/4A2bPno3zzjtv2OQvLi7GY489htbWVtx0000oKytT+wXP8zAYDOjr61MzgURRRHNzM/7whz+gtrYWS5cuHXb5k+nA83xWnptc6hAqk+/3+7F69Wqcd955amn9ELm+D8nenxzH5bwvZLQOWrwF6C6++GL1u9WrV6OxsRGrV69Wv7darXj55ZexY8cOFBUVYf78+fjxj3+cl0ZTpjoyxrBy5Uocf/zx6mJ8+UqmOm7atAnvv/8+enp6UFRUhDlz5mDZsmWYMmXKiMidDpno6HA48OCDD6KjowOAMgKydOnSvJwXsXr1auzevRs2mw1lZWWYPn06LrjgAixYsED9Pvr+RS5UXV5ejnPOOQcXX3xx3g2ShMhEx3gLyL7xxhsjJnc6pKuj3kKmgJKCG9kOxNAJLVRttVoxdepUXH755THGRi5I9m4TBAEPP/wwDhw4ALfbjerqahx99NH44Q9/qFnDTRAE/OUvf8HGjRs1C60O9zpvTzzxBPbs2QOHw4HKykrMmTMHS5cuVX9HWHCR2LVr18LtdmP27NlYvny5Zk5mrmSPZNeuXbj77rtx3333aeaA5mv77969G3fddVfM9kWLFmHFihVZa3eXy4U//vGP2LZtGwDgxBNPxPLly4c8sJFI/sWLF2PlypW6x4UWUjaZTHj66afR2dkJn8+HsWPH4oQTTsDixYs1FVCHS/5kOvzsZz/L2nOTKx1WrFgBQIksv/DCC3j22WdjBrdzfR9SsQ1z3RcyctAIgiAIgiAIgiCI7JN/JekIgiAIgiAIgiAOUchBIwiCIAiCIAiCyBPIQSMIgiAIgiAIgsgTyEEjCIIgCIIgCILIE8hBIwiCIAiCIAiCyBPIQSMIgiAIgiAIgsgTyEEjCIIgCIIgCILIE8hBIwiCIAiCIAiCyBPIQSMIgiAIgiAIgsgTyEEjCIIgCIIgCILIE8hBIwiCIAiCIAiCyBPIQSMIgiAIgiAIgsgTyEEjCIIgCIIgCILIE8hBIwiCIAiCIAiCyBPIQSOINNm9ezcWL16McePGobi4GNOnT8cDDzyQa7EIgiAIIuvQbx5BjDwFuRaAIEYTdXV1OP300zFnzhw88sgjmDZtGnp7e1FWVpZr0QiCIAgiq9BvHkHkBo4xxnItBEGMFs4880x0dXWhvr4epaWluRaHIAiCIIYN+s0jiNxAKY4EkSIejweff/45LrnkEhQWFkIURfU/WZZzLR5BEARBZA36zSOI3EERNIJIke7ubkyZMkX3u8svvxx/+tOfRlYggiAIghgm6DePIHIHzUEjiBSprq6GwWDAVVddhZ/+9Kea72pra3MkFUEQBEFkH/rNI4jcQRE0gkiD73znOzCbzdi6dSuKiopyLQ5BEARBDBv0m0cQuYEcNIJIgx07duC0007D0UcfjZUrV2L69Omw2WwAgAsuuCDH0hEEQRBE9qDfPILIDVQkhCDSYMGCBfjqq68wbdo03HDDDTjrrLNwzTXXoKGhIdeiEQRBEERWod88gsgNFEEjCIIgCIIgCILIEyiCRhAEQRAEQRAEkSeQg0YQBEEQBEEQBJEnkINGEARBEARBEASRJ5CDRhAEQRAEQRAEkSeQg0YQBEEQBEEQBJEnkINGEARBEARBEASRJxRkemBPT0/SfWpra2EymTK9RF5AOuQPB4MepEP+cDDokS86TJo0KdciDDup/OblM/nyrAyF0a7DaJcfIB3ygdEuPzD6dRiJ3zyKoBEEQRAEQRAEQeQJGUfQCGI4YW4n0LEfzGEDBD+4snIIM2aBVVSDKy7OtXgEQRDECMHMg0BJCVBbm2tRMoIxBjA512IQBDGKIAeNyBuYeRBs8zqwrzcCPR3a7wBYAYDjgemzwB33TXALF4EbNyEXohIEQRAjBGttVP6YfnhuBcmUxh1gLgfwvYtyLQlBEKMEctCInMPMg2Dvvwa25b+ALANzjgL3f5eDmz4LqK4FiosBjwtGvxeOhjqwxh1g7/0V7P3XgOO+Cf78JeAOn5NrNQiCIAgiBuZy5FoEgiBGGeSgETmDSRLYx++C/evvAAO4M84Hd86F4MaOi925ZhxKamvhmnUUcOEyMIsJbMNHYOv/Dfm+m4ATTga/ZLn+sQRBEAQxijB5AnD6JRxeXZJrUQiCyAHkoBE5gZn6Ib/4KLCvCVjwLfBLrwQ3drzyHWMYcAfQ7RDQ7wpgwB2AySPCz/pgcfngEiQEJAaZfQvyKd+EQfDB6DKj4vWtqDpsHKbPnYFZNaWYWVOC6lJ6xAmCIIjRReOAFwDIQSOGhDL/kYHjqSbgaIOsV2LEYY07IL/woPLSuPImiCedhoYBL3ZuH0CL2YcDVh/cQnhCdQEP1JYVoqa8GBVFBkyoKEShgQfPAQaOQ0A2wuUsh6OnB3utAjbWm9Vjp1QWYeGUCpw1qwqTK4tyoS5BEARBaDB7Atg94MW3pxpRaOByLQ5xsNLWCjbQA27holxLQqQJOWjEiCL/999gf3sBvokzsOXCG/C5hceuN/dCkBgKeGW08NRplTi8uhgzqooxvqIQ1aUF4Dku6boZjM0E+2oDXG8+jLaCarSe+n/YXjIF/9hjwduNFsyfUIbz5lRh4RQjDDz9IBIEQRC5ocshAADcAQlVBjLFiOGBDeTv+o1tVh9qygrRbffD4ZewcKox1yLlFfRWIEYExhjYP/+G/Z+tx4ffvAqbK2bBu9uLwyoK8T+zq7BgYjmOHl+G0sLMw/Acx4FbuAjGI+fj6JeewNHvPYALTzwFtiXXYG1PAB/vteHBz3swyViES+bX4tTpRnAcOWoEQRDEyKL+8rBcSkEQuaPDLqDDLuRajLyFHDRi2GGMofWNN/F6XzG2nnQDSgo4nDytEmfPHIOjxpdm3UniKqvB//JOpQDJP/6CMW17sfjq3+Ki78/GV10u/K3ehEc29eDfe0txzTcnYNoYWleNIAiCGHmyuTqayRMAB2BsWWEWz0ocDDDGwHGc+i+R/5CDRgwr/S4BL35Qh6/E+SivDeBHx47F/x5Rg4oiw7Bel+N5cN+9CGzO0ZD/8DDkh34L7odX4luLzsPCqRVYu8+OV7YP4MYP2/CTE8bhe3Or6aVFEARBjAihnxvGGJgYADwucJXVQzpnqLDI6TPIQSNiYR4XWMM2YO4x4KrH5locIglU1oUYFgRJxt8bTFj5Xivq/aW4RNyLNRcfgaXzxw27cxYJN+sI8Lc/DhxxHNhfnwd76TFwfh/OnV2FZy6YifkTyrDm6wHc898u2HziiMlFEARBHLrwiBgQ3NsItqceTKTfoHym0+7HoDuQazEygzEgtB6fzZx43xGAsdGV28vqvhjx+XzkoBFZp2nQi198cAB/qzfhpIEGPO1bjyWXnY/y4tyM6nEVleCvux3c9y8F+2oD5Pt+BdbbiaqSAtx+xhT87KTxqO/z4JcfHMCeQU9OZCQIgiBGH5LM4BdjExWZxwUWSGDMhyJoAOB1Bz+MLqP1UOOA1Y89g95cizEEKEsoU1hAADuwd0SvSQ4akTUkmeH1BhNu/qQdkteLO+pfxK8KWjDupz8Hx49c1EwPjufB/+8PwV9/F+ByQP79TZC/2gCO4/C/82rwyHeno6SAx21rO/HZfntOZSUIgiBGBzv73NjS5YrZzhq2Abu3xT0uZCqTT0aMGOG82pivBElGQNIONLgFCTI9oDmDHDQiK5g8Ady2tgOv1ZtwqtGPR/97DxaMLwF/zW/BFeRPPjx31ALwtz8BTJkBtuYRyK+9ACYGMKO6BA9/dwaOGFeKJ77oxas7BunFRBAEQSTEJcQv88H8/rjf6ccyYn9z9KJzhzIsQFX/MiPi2dKxbb7sdOGLzvBAgzcgY1uPGwes2mdYkllWbKPRZF3lKh2THDRiyDQOeHDjv9uw3+rHL6f6cf0Hd6F8+nTwK24FV5h/i0Nz1WPB/+o+cOd8H+yzDyA/dDOYeRCVxQasOnMqzp09Bm/tNuPRTT0ISKPpNUIQBEGMCoIeWjJjd0uXa/TOe8oyzOMesblAbNc2sLovwp8PsQHbUDTN6Zc02zd1OLG9x53VazG/TymUQ2ggB40YEh+32nD7ug6UF/J4eJ4fi/5+DzB5Ovhf3AGupDTX4sWFKygAv2Q5+Gt+B/R2Qr73erBddSg0cLj2mxNw+YJx2NjuxL3ru+AN0AgmQRAEkX2YJCaeqwbAJUgJvz9kCM7Vk+w22Ie5qBdzuzTRulHvnqWpQKLd3dm2iToPAG2t2T3nQQA5aERGSDLDH7b2YfWWPsw/rBwPzQtg8ov3ALWHgb/+LnBlFbkWMSW4E08Gf+tjwJgayE/dBfm91wAm4/+OHovrvjUB9X1u3L6uAw6q8EgQBEFkGa6pPvk+IyDHqEBSHNV9Hh47+zwjOniaDwE0UWbY0uWEw5dhtCnBHLSRJg9EyHvIQSPSRpBkPLyxGx+02HDhkTW4dZaAsmfvAiqrwN94DzhjZa5FTAtuwmTwNz8C7ltngP3r75CfvAvMacfZs6rwu9Mno83qxy1rO2D1kpNGEARBpA7ragMAdAkGfNIcMbc59E+S6Jl6HsbAOvYlnNd2qOAK/hSL8sFt5TPGIEXoaPeJ8IsM+0z61ab9ogxBiuO0MhZ20EYQJsuQt6wH6+se8WtnDZqDRowGXIKEVZ924otOF648cTx+MtEP7slVQEkp+JvuBVdVk2sRM4IrLgZ3xfXgLlsBtOyGfNcvwHZtw8IpRtz5nSkYcClFUCzkpBEEkQV293tyPreIiQGw9n1gMqVxDxesux0A0CkUAIDG4AaiomOJDEGXA6y3C9jflGUJRxE5cDD0YKI4InPS2m1+bOpwqnPhuaD+LE4C4pYuF77sjK0oGssIOhx+n/Jv/yh20HIEOWhEyti8Im79pAPNJi9uOmUS/nesAPmx2wGOA3/DPeDGjs+1iEOC4zjwp/8P+FseASoqIT95F+S/Po9jqgy48ztTYfIEcOsnHTB7aDIrQRDpwwKCatiZvWLu11Tq7gDr6wJMfbmV4yAgXYM9em/GdDbG7IBhGc1nbXvB8mDx4pSRlVTHobpr3oCMfldqVSFDrc4kEWzbJqCnY4hXT86gWxkQDgQHUIa+NEMOHFxRhE3ksMNbrCmIk4uY1M4+N3YPpL7WrSSznBaHIQeNSAmbV8Rt6zrQ6xRw+xlTcVqlAPnR24BAAPwNd4ObMDnXImYNburh4G99FNy5F4Kt/zfke27AUe4urDpzKixeEbeu7YCJnDSCIBBMPetqAxMTR9dZIKBUhes8EHN8zuCDJkCAMgOGSoc9uaEv9nTqGqY2kcdGVwkc/gTFQIYxesT6e8Cadw3b+VOSoa8bLKpvxO4UbL0sldrf0edGs8mX0r6+0Hy3UD+3DGZFhoQE/GCWAciBgOJEy0MpFsN0/0xh7yGz118Ih8jBLyYu9R+PgCRn5T1p90kwe1J/123qcGJXGg5dtiEHjUhKyDkbcAVw+5lTcFypH/LjtwNuJ/jrV4GbMiPXImYdrrAI/OKfgr/xHiDgh/zAbzDvy/ewatFE2LwSbv2kI+fpSQRB5AHmASWNrSuJcRkIzh2yWzSb7YmM8mHC7hOxoc0BBzMoGyR6lw2VdlvyuWGyw6r+zSL+tUqKKWb36xuPqTh/ox3W3gqWNCoVbLUszT0LpQ6mYvzX9UaXlh/+aBTX3Q5YzGBt+8D6e8AFncKMfZUMRB76uEA48hsvNTMRAYnhi06Xuh4bY2xEU7Kt3txVUCUHjUiIzad1zo4pDUbOrGbwv7gT3Iw5uRZxWOGOmA/+zlOcEiQAACAASURBVKfAfXMR2D//hrl/vAt3LVBGOm9dS04aQRzyhKylZEZDaL8oiyd6TlK6SDLDAasvrcVjQ6PI9tDraxTWWmCDfWCtjWCShICU/VQkm0/Majq7np0bKhASktwvyilUJhyFNytbaOuraLCbrfB5M0sZzig5dQSyBblQxCzqnZHRExB50EhG7Yd4rVAhGDVraW8j2NbPE19S8Cup21mDioQQeYYnIOGuTzvRrzpnAciP3AZYBpV1zuYclWsRRwSurAL88hvAX/0bYKAXs5+8EasqDsDpl3AbpTsSxKFNqgZIyIHjefjFsBEe6Z8xn1cp3OGwgdVtTpo2CSiRm067gH6X8h6SZKZGBuIhBWXm86DmwqA7oEafbF4lsucTk4+Qs/3NYOZBCNu/whedTnTYBTh8YtaWRKnv82D3QPbnCGoelygjsscVwNbu+EUefDKwwWLAgCugpCXuO8QKhsTpa4PuAHZsb8G2L1NL0+ywejP/3VZlGIHOE3xnhHpDqlf8Ou4zpM5iG4JQ6cL0ByfSPkvwX6sp+c77mpTiRx638q8v/X7c59SPWksyS2swbCiQg0boEpAYHtjQjTabH787bTKOKROVgiDmfsU5m3tMrkUccbiTTgW/6mngqAWY/e5q3NH9HhxepbojFQ4hCEIP1cliQTOL47GtJ2xAaSbO7/wK2L0d6G5Xoiue5BXZQoZmyNHb2efGF53OhMeE9h1q9C4Z3oCcdHmSPYNe1UHrDRZsSGcRYr+g6G/2BLCjz4MdfSM/Z4R5PWB2K/YMetBhT7EMPkPa0QW3rJhsg+7gnCRTv/aUsgxm6k+5dD8QTu+TWI7nQ+rA7FYwd+SzrC9fqNiOGK/EfBTNAy40Rjjfaamt+mcjkOIYemdEBe2S3SdPvChsOjJn8Cgwm0V3u1p7chgeLzbYB9bbqd0YXC8PHpcSSWtJf35li1l/buKmDifqeqLTXYcHctCIGGTG8NSXvdjZ58F135qIEyplxTkb6AW/8nZw847NtYg5g6uqAb/iVnA/vQFz2+pw+/YXYHP5yEkjiIOcPqeADW2OtNZeYlYz2LZNYA6bJlQWGSCKPp12tDfxtfyiDJ+o3cclKCdnbieYRX+0OeQUtjll2MRYo23PgAdbu1Ip152Yrd0uNPSn4TCphmjqhqQ9OH8rW8afxStiW4Ioli7d7cBgHwbdItqs+g5aIo1U2RPqkEKbuF2AzQJ07Eu+b9TFN7tK0GRKPdLAnPbkRT2gOJPREYduh5A0ygsArKkebFddxAatzDllJBy04L/R7lZm2qdXJET3DMF2Z7IM1telcRTlLevBmhvABqMqwkZdtq7HhQ6bH96Na8EGeuNeyxWcm8slCfqx/c1gHfu1Gw3K3Fo1wpxCJgIAMI9b0cPpiPmuUzCgN6CcN64DnGXIQSNi+PP2QWxoc+CyBeNw5mG8UhCkrxv8ylvBHXlcrsXLORzHgf/2meDvegbzptTg9m3Pw2L34Lb/HKB10ggiD3jnnXewZMkSvPTSS+o2xhjeeOMNXH311bj00kuxatUqdHZ2JjiLli6HEt3xp5B+pxIqCOKJP+I6FFtTSnAw21UHtne37neRTqFT5rFhUMZ+S3jEeNAjwivK6LL7saHNMeTISq9TwF7z8CwpsN9fCCB7SVstJi/cWTbAmryFEJhiaYbaPhN5U3Bpgv9kEhIKl3UHlLk/HXZ/3Cgra9wRt6gHa9kF1rgdZk8Aewa9qO/zwBk0uB0+Efssvgyfh9T1ilywmUkSmBRb7IGTJSX6mYkMI+iggTEIMiAnuGRKfTR8Qu2xkpRS4Q31UbAMgrXvA8wDsTsJUamBUXK5BBltNr8igcOmex2HT0RdrxtdCaLRobm3un4+b9CKoHPvdQktNRGdRsmANn8hWn2FqZ0nS5CDRmhYt8+Gf+yx4Lw5Vfi/6UWQH7sD6O1SokZHHZ9r8fIKrmos+JW34ciLfoDbm16FxenFbe81wuI++CtuEUS+0tLSgnXr1mH69Oma7e+99x7+9a9/4YorrsD999+PyspK3HvvvfCmWFggk3kMNr8Eh8QFy9nrG8/ZcCyYLAMtuyA67GkfGzK6Qg5oJJ3B6oHedJxSHfaafeh1Js8wGI7sMU9AQiBorDOHDcwVOzo+nDAGDIphg1FbyS6qrt1QI0NxDN6ExLnkoDuANqtf97lIekqrGczpUKNkDr+E7cEqiKHnLZBJem2cUCOn2YXB5hPxZadLTf9ldZvBvt4Ye77uDiWdOC1/NvN7FCqTH5AYHH4JLiG+48D8fnBBPRmALe4S1JuluCIklYoxxIvCsq83Avub9Y/ze8GiU61Dzpye4xMzsTU4B42lIqRCKCvA6Zfixo17XQI67QK6ggvAa4h+gaS6PEFIvnyYnAty0IgImga9eParfhw3oQxXHlUO9sSdQE87+GtvAXfMCbkWLy/hOA78yd/B0b/+LW5zbYJZYLjtzTpYO7NZQYggiFTweDx4+umn8fOf/xzl5eXqdsYYPvzwQ1x44YX41re+hWnTpmHlypXwer3YuFHHcNOBtbcC0HEeEngT9TZgp6dYOVY1TtIw8FLd1e8F83qwqSE2opFs9FgGB9gsuiPwISN6BKtaZ41BdwCMMXzd7cbX3YpzwPbsBNu9PeFxjMlglsGslfKOdwsZWObeuc4jxxxWwKukk2bD4QhFzpKl9CaK3DCfV1nYufMAWGjtMk57HJMlMHeKKaXRlwqeK7ILWryimh5n9wWf/Tj3kvm9SXVIKkMStve6saHNgR6bB2zrRrDudnzR6cSOXnfiuUzWwbhzzvTK1UerIHvc6DI70SMYYvZN5wFh+1vAGrYp51Qr0SY4gItyK9LIrGSN28H2NwOyEsmNvGvRx4YeS80+Pq+Somi3Ih1YIAC2bTMw0KNsSJB6OZKQg0YAUCaa37+hC7VlBfjViVXgnroL6GoDf83N4I49Mdfi5T1c1Vgc8/Of49bJTpj4Mtz+0X5YPvs47yZdE8TBzAsvvICFCxfimGO0RYwGBgZgs9kwf/58dVtRURGOPPJINDfHGTmOggFgAQGsJ3FapCRHlHwPTfKX5bBRFC9lTJbR4ClEp2CIcfpkxiBKMljHPjB/ikUo1BMnfgepKUIJCpJk6y3GGraBJZgfla3r9LsE7Bn0ojtYiS2taI3VDFhMQNcBsPa9sTI21YPt+DLl0yVxb9DiK0JPQBsFyKTCoC0icyOtdozzfKRcOZApiwjr/dax5gYlDc7vU9N9OUCpQNnUoOzU1gr7zjp87izBAb9ONER7Rs0/ISK7C0sitBxRQCWc8ZeZMy5IctIlLkKpnftMwbmYUYVd9GCyrDyDIWc2+vsUbrBU/zX2bW/EPn9EWl6S0DTr61IHJvQuoXYjTvWyk8rhCshqcZukDprTATbYB767HckO0NXEGcwgSHdB74BfqZ4rBNdaCwTApIjpKjmy45L1BuIQwC/KuH99N/wiwz2n1aL8+XuBjv3gr/ktuOO+kWvxRg0cx2H+Wafitr09uGcLjzv2mnD37odQ/eOrwFVW51o8gjioWbt2Lfr6+nDdddfFfGezKalfVVVVmu1jxoyB1ao/2rp27VqsXbsWAPDAAw+grKwUnNWE8jIPxhqPAVdcAgAQRT8ClUYUVFWBrxmLz/aaMGlMCY6aYERZaSlkKQBjZSGKaqohVBrBV1TCWGZUr1NdXYHa6lIwSYSvqBx9AI4dMwYSE8GMY7DdwcMTkMA8HpzmtsNgNqBo/kkAALdfhNHBg/Ecyn3lKEUZCo3KuY1e5d+S2lpwBQUoKChAbW2torffDsEgQAr4UCyWo0TgYGAyakqLwZcbYTRrDZLqmipUlaY//yL6PBVeDnDbURqUI3KfsWPHYoy/EIJBQE1NJWqNxeo+3kpFFwOn7MdxnLqtRDSgyGhEeZEBhmDKWJmxHEa/G2XGUhgDSpSktrZWPSby+tGUl/aBLy0JfuLVNlNlYSJQXKSew2hmEIL7FwXbfuzYsfAFryUxoERSohg8x6OmZizKJD+MRQF4S8vACsIOd2FFObiSMnR6AaPRGHlZjB1bBG9FBUqlUowZMwbGKF0klxclQTkqq8ao25nfD8kyCOZxo2DmXHDRa2oJfniNRrUdQ/o6ODeMogdioQG9QgGOnVQJAOpzpLZ/zVis22dFaaEBp8ys0dwvl59DGYogl5bAUFaO2tpaGDwBlIi7UVpWitraWvg7W/EVG4OSUsAEYGFEe0ffr4DbDtFhRKmdB19RjrFjx0IQZZSVh+/B2JoaeAMyBgMujBlTitraCvU8xcVF6K2vA8bMhtFohFhWCpkBNTVjUVIcfr6Z36/ev5Lg8xZ6TmWOwcgbwY8Zgw02DkAxxrBSzB1XAT1Cx3GiAGPACFZYorm30c8XAAT2NUPkZFSUl8ErcKioMKKkVIKhohwGoxFekaFXKFLvCaBUsDRGvMrK3Ub1uTNWFqJk7FjInhIIlUYYKitRFNXOJaIBkAKoMXDgKyrAlfIwegwoKy+D0SijtLZWed/YOUgeJ4ycEYXGChiqqsAVFKhtXDR+PPjqakAMgCsuwbY2G0pKS8AVl6C6ugZGl+KsGbwGlJQqz1zo3hkrCzEocOjwF8I43ghjeSFqa40w2jkUF/CorR2rXqeqqgpG0YPS8jIYyxhKa2shBnwIVGr7TYjS2lr1XrASI8ZVhN8vsqsI/qjjjBUV4AoKg/eoWu1bRUb98w8H5KAReGnbAFotPtxy8nhM/tP9wIEW8Ff/FtyChbkWbVQyf84k3FZeiXs/47EKC7Hq3t+h+pKfUnsSxDDR09ODv/3tb7j77rtRUJCdn7Wzzz4bZ599tvrZ4/HCx0twS24wkxlcsfIDz6xWMIcTXLENgcFBOJwuOJxOjC/ww+N2A14fnA4fOItF2U8CnFK4dLilUECZVAwmBuDzKoU67HY7mMOJrm4T+iXFMGA9HXAanOAYB86kTGL3BCQ4nW4wrxtulxtevgA+p3Jus80Jm8TjMNMguIJC1NbWYvDAfqCkFHZ7AE6PCOZyo9TtgU80AN4emDd2gjvxZDid2jL9JrMEsST9do0+j9OhfHYH5Wc+LxwDNnCl5fikwY1iAw+nV4TVKsIQMfIvB4/Dho/h4gvBzTtW3ebzlsDvdEIs4NW5crYCAU6nH1aPCQ67AK7CCJOJU48JXV8Pt9sFwRtRMGVwUOPURJ/D6XSCBff3B/U1mQAW3E9kiowAUFJago8bOjCrsx52kYdX0qaf+VwucAH90X9zMeByuuBlPOx2e0xb2qzW8PNjscDa2opmfyHmde9CQUDZzkkMXI3WIWCCH5LDqbajyaToarH64HQKcALoAzCxSInQ1dbWwmQyqe3gMg3C4fTCAcBUKWvbKMDD4wtG9oo9MJlMcPhE+Lw+FBpkmEwmMI9XlVtpu/C9iW5rZlX6kMdTBI/ZDHMl1DTB0D2wWCzwiwxOpw9W+DDInOq9cG74BNtcxSji7fAwgPP6IDPANDiIkpKi8HW3rFf/dplM4DgODtMgUFAI+DxwupxwWl1wjC0FV1yKPsmLGj6sg8svoayIB89xyvMhy+C9LjhdToiFApwFijzMYcPA/o0AY+BOOgVcsLgF6+4Eczrh8RbCJxpgdziUNnK5wRmKYDQasbfHpN4TAAhIMpzOcBTc6XSqz53T4YPLZAZ8HuUdBIP6DgGAgD28r/nLDcozNP8UOJ0e8G4PnCwAt8kElz/4vvF4lHfYrh3Arh3gFy4CE2Uwjxuc1QbsbQKzWcAvXASXywV4fYDEYDKb4XQqkURJluDzBuCP6D9Ohw9bnSVAqQec0wlDwICWgAdOpw9+AweTianPhNVigdMZgNHtgVMU4TaZwILv2EgsIo/d3iJ8o7cfTqfyrHze5MTpM8LOLXM7Y45zFrnAGQqCz6SkPqN+Z+IlTLIJpTge4vz3gB3/abXhoiPG4KR3Hwdam8BdeRO4E76da9FGNcdNqsBtZ01Hr3ECVh1xGWx/eBzyK89kVGiAIIjEtLS0wOl04qabbsLSpUuxdOlSNDY24uOPP8bSpUvVEetQJC2E3W7HmDFjsiZHTCZMxIY+twSbGEz1cTrAWvdo16uKnCcTHeXwe8OVIFPMttnlLUKzr0hTzpw1bgf27NCeO/JvMQDmiy2Ln0mGD2MMzO8D83uVf6XYCrds51dKoQaElwdIet44ay3p7nugJWYx6OQHpbl7qhXiIugL6MwLGiqRJc+tZnTV74bF5kaPKzZdUpRZeK25dKZfBQTN4ulemQMzD6Q3Xy86zS56zlLoWjqlzjWy8ryu7NERwsjU3SZvIQKMA1PXJIw9ceOAB22RqZahdu08AESst7XDUwx0tilpx0I4CuoNyKjrdWO/JSIVeaAH6FWeQzmYJ8gsg8pcp1D6cyCyfzCNeHqVCpl5QDN3jwHh+X6CXyeTmsXtyBYx9h5E77mhzYGWiMqbAaYMPnhjSksybR+NOJFmzUddSUJfBqOVfj9amtuUd0nULrrZmjqpqqagbg5fgn46zOtBZgpF0A5hOux+PLulD0ePK8HSjWuApnpwV1wP/hun5Vq0g4LjJpTj1jOm4t7/clh16q9x18ZHwLddCbb8JnCTp+VaPII4aPjGN76BRx55RLPtueeew4QJE/CDH/wAEydORFVVFerr6zF79mwAgCAIaGpqwrJly1K6hk/mw0OaGRT5arEFAG8RTh+D8FwJwQcgmBqlO28iaDhEzjuLNHIi7IpokdSy7lHGB/NqHbDwXKOg4bhzK3CYtmKvzJgyiX7qDHDjJ4XP1d2uCFFWDlSNBcdHGHo9nUBnxGT70jKgALCJPHa1ObBwSgWikybVKS7QJ4Wls7Tny8juSvOg7raEF9Y7W9yCdtHFIIKOD8fzCecPddj9KIhoHIkBnUIBYB4AA+CXgQP+QsxlDAUAmtv6Yerqw4JvHoNKjmFfhEPCvB5gsA9yxaSY67C6L+CvqgbmzYdX5vC1uxjTmw8AZYcBtYfF7B8tcUBi4Yqa0fOZonHrOWiJykYEt+7eAdROAFCpXCPi+Q9V05QdNjCnU5Vve58X803bUVZcCJNxDphQgBnFYYdJnV8XHGD1RDolggAc2AtM+abyMaif0+OD3LoFrHKuMgcviNofI9YoDDDA6RNRWxxOuwMiHDSHHYjoLUyWAasZbFc3cOLJ4AoKFV09buVacdY/jEfkLRBkoCjKX2v0KtdWB1E8Lpg4ZV0wt8zjtK2fgysMRiDjdjqW1A+yRTmKrKsN8AaAMdVAQYl2Z92Opd1oFnn0B+d3xlt4OnQyQVbaoTDUFn4fmMEArrg0zsWGH4qgHaL4RBkPfd6NkgIeN7S+DcOur8FdtgL8t8/MtWgHFQsmluOWRZPRzVXgrrNvh8Pjh3zfjZA/pwIiBJEtysvLMW3aNM1/xcXFqKiowLRp08BxHM4//3y899572LJlCzo6OvDss8+ipKQEp556auoXYgwOiYMgyTB394Pt2qb9OtGxVnP4b1GnCESixVQ1VcXimfz6W5KVrE+lMBtDMLp2QFs0g3W1gXW3g+1tBNqiCmpEFx0JOoY9weiRwx92SMOFCeK34GCAx3qrAW6Jg+jxwB81WB55bFdweYDo4hspkW5Fhuh1n1LELulV14M2GtXdplv+PPJe+UUZbVY/9trDz1RrKD3U44YEDl+5SzAoGmD1K7pYOroAwY/6HgfAGPoi26m5Hr7uTvTZtI58uOqi8pz6g06KTTLoPs82kYdN0pqYX3Y6sXvAG1I1VhnNBSP+lGWwhm040NGPz51hQ93i0+kzfq9i2IdOEe/+edyQg4MYgiTjaxsXW05eFUBbinCbW+tIRUaH1f4UGgixBSeGBfXUG4Zp9BZht8kPl19Cv0tQdQ/1XTHBM+lqbtKXOaEO2hNG3qUGb1FMk5mDji0z9SmLQgsCinmmFv+ALKtRRGtnN/YEHTrGWPg9IAgIbN+iRGEjImIswpm0S0GFi4Lp46Ev9Dw7vfsatV+jtyh2Hz0YwxZ3Cb50RTiBPZ1AZ5v+7iNU1pYctEOUNV/3o8su4HrbRtRsXw/ukqvBn3ZursU6KDlhUgVuWTQZHX4D7ln0O7hmHwf2yjNgLz6mm05EEET2+f73v4/vfe97eOmll3DzzTfDarXi1ltvRWlpaVrnafEVYfegD7ua2iG6XBoDPZ4t2BcwABFpUJq/ETRk9FLl9BaCZbp/JoCFr5EhMVG41kYlXRJh45EN9in7MqYs5s3HNy+Y2wm4ItZs69yfVAZr0Nh3yDy2d9jwlbsEDZ6IqILHraSNSqJu1UanXz/FadAdgFuQwHweZe5RLt/JbgewvzmcMqdbsTPOfYzYbIlYd607Yp0o1SgO/iEzoD8qBbLFzWO7pzimDSM/MqcDHKdssEs8IIoxKawN3iI1epFE8jhE7O31gHlc6PQpenlkJb2xzRrbPjKgXVA4lec+MuIZs/h23Hin5pqhlMyQ6R5vKS29hb8dwWe7rteNZlM40hOKasesBhaMJA4EeNSZRGVJCR2p46P9NvLsHpmHl3Ex3zGrWXE2Bf0qsqHoeYNZgEk0KE3KWDhbAMFnKHodQstghFTBq4WuEZn+GhTZLXEYCITXldTc3hSqceotyu2XEh9nix4ISOF9lQ0oxfEQZFOHA2v32XERa8NxW94Ft/gK8Gd+L9diHdScMKkCN58+GQ983o27jliGu2YfgbJ//hWsbS/4n/8W3JTDcy0iQRxUrFq1SvOZ4zgsWbIES5YsyfykQSfKLwMoKIDAOBRERA/iRYD2+uKUumZAp03Afosf3zaGHQjZagHHAcxpB7SFJxFpXMXMq/B6wPw+cMUlEFm0UZeCkcliI25MlsGiIiTMrBhVHpnDNncx5pQEMKFQkaVp0AuTR8Sp8eYWAUBAQGO/hGn+oCMRnItn9UZE1Qb7wPY3gzvhZADh0WSZAZ6gV2iLjELZghFKrxeoiK205glIKI/4zMQAYCjAnkElonNaiWI4KvOENUsf6+qRGP001KSE5l0JfjWKoIfZI8IvA8V8+o63wy9pntPmqNSvPoHXfRAYIlrF1AcW+Xz5vEqa36zUC2Ep9rvmrMp2yyC4mnGZ5qdiIBihZXYr5LJagNMx5PWECeFJsDZZzM4RmwZ7AWOlej+0DlpE+mmUgxaI9poBbLDwOM7AqS0jhFIqo8rbu2UeMBjgDcioKNJGZJluaFK/Ebg42zWOTNRgUbRLI8sIrrkWLDIj8aiNanT1mCRLOyBmrn54/zqP0i9m6p4hBQ60AAYDPFOPx85eD06YVI66/sRLl9T3R8kTSH8ZjEygCNohxqA7gNVb+jCbd+OHG54Hd97F4M/9Qa7FOiQ4aXIFfn/+kWi3+XGH4SQ4fnEv4PdCvv83kLd+nmvxCIJIkQKeA8CC0aOhpSoH1AWBw9s0g8IRqZEH/AVqNGvQHUCrJWxc20PpZJ0HtBdQ12SLcBq8esWKODR4dUrp93VB3lWnK7snmJIUKjIgygwmT3CRWUOsefG5s0SJ7pgGgIFedAgREbCIuXEMAIIROXgVgzlk8MYd62bhP/QKkmh2FUVlTl1wJJx5XWDt8ddnS5VUnKXoOYAaQgZxnLxUFvHvjqChCsYUQ1ov2hoNB+zodWdUFEGrGoeGVNPHkp002hHc2xh7wdZG/cMDQsy9NoWih4N9wTYJOmjxrh//WwVBgBBZWVMnDTLy6FDTxp9HGScyGeqmsgz4fdjpKVbPoaY4qqHPiF7Ah9YYizgvp8wPjCtl5J9iQPdxY4wBMdHEyO+1n3sCPPZHVF5t9BbFRLTUd9T+Zl0fLWZbovXWBEHzbkwLSUKnXUBAZhj0BDSFlGJlYhmnMQ8VctAOISSZ4YnNPZACIm744hkUfvtMcD+4LNdiHVKcMrMGt5w+BV0OAb/bV4qBGx8Bph4O9oeHIb/1ckYVwQiCGGH0fs8ZS2nQ3x2vi0cVlrCIvDLPJ8Lw7hIKYAooRotX1Bo/g6J+ZUBdkQ40635vlwyaOT4AAI87zmh8LJ0tB9RRd4eUpnnR3Q4WLKbAGIBgiWtIEiwij5B2bimc3qQluK2/W4nmJCL0ng2lV1nMMOtUsguxucOBLodfv7KgRoRYuWK2dLfHdwdCx+vkx/lEWeOcCozDTk8R9ll9mjSxhAhCsHJoBg6axgFI+3BlnlLMXLUEckT2B73qx14P0L4v4b1moqg6M+mk/Gm+afga23ojnGqHPXYfcEr/d1jDc9DiTv7Ubg9ERCJZwK9xilQHLU6KIwCAN6R8P5jMMBDgsdHChyN5TfXx31sJqk5HHhJgcQr4RJ04MvW2wRXb32IGX9T8Sp3shPa9qQ1KxCGU2ttu9SNpfwgtnD3CkIN2CPFuowW7BrxYvudtTJx9OLjLViR4iRDDxYmTK3Dv2dPgFiT87gsb2pbfAe6M88D+8y7kJ1eBRedoEwSRZzAgICppWgN9kVuTss0R4UgFwiOzka9iGcBubxF6dYpcSL5E1ch0CFk9jMEU4GOCJ3rFKlhAO2IcHuSP/3vxlbsYHV2D6pyThlg7NjkR0b++gOIs9rv82O0tQocQf0YGk2X4nNplCCKdAda6Byyy3ZgExgDR51ejXo3eIjikWP1EiUGUgX3tg+q8u6QMLagKPdPsqz4fWnxK1IoF29gh8TC5Rf35i3p0HgDaW6Pki3CEEixJEGlrC3EicM0mb/xohMMGtLXGXjWuDZKkEZOmIoYcpxQKOiS6lCyrlScTHc5M/WB76iEHnYY4GY4xl9qjpj8zoH2/rlOkmf/n90Ls7wlvCEXQGJBwhKi7A7sGvWj2FUH2+2DximDmQTC3Cz6WvivQ7AtHUPf5CrVRvZDceu0WlNGl09dipOe4eN+Ai/PM9wqGtKq9Skz39GF0q+uODOSgHSLsNXvxWv0ATjY14DuldvBX/wZclhZ0JdJnXm0p7j93Ogp4Drd+2oO621ae8gAAIABJREFUMy4D9+OVwN7dkO+9ESw6TYkgiLyBRUQsBvxMXWsn8oe+cSBOKlukERUxAhwZEUuUgcagLErb60wv7cbsFrDHV4T2oKOjGPlxLhSd2sQUmTY6i3HAqu8g+qPXQxrC4J/c24WWPmWgqi9uyDECvZTGaNUiB74EP/b7C7DZVaIxLEXGaSIaAFSHo0DwwCYm0SlUcTGqumcy0dKCAYg00NOYq5U4zQ+AK/4ivFu6XLCIPAQZ+DLOUnT9rgC6HYnn84TwyvrrmIXlUv4RZKWCZwzusKzMYYv9HgCTJbXyaMJWGmJFZYfEwyzysIkcmvf3xu6QYNkFn5zcDNe4OZ1t2jTZYLQ1YVMyxYG0doVl2zPoBQumjmrmyEaTQjeWod/ddasdJlgCQI6eN6ueSCcyHXTQIiu1WvwyWv2FOOBP17ZN0Ho5zGoiB+0QwCNIeHR9B6p9Dlxj3gTDdXeAKy5JfiAxrEwdU4yH/mc6JlUW4d7/duEfY08E9+v7AUmC/OBvwXZsybWIBEHoIYSjM82+IuzRmY8TmosVg1/fwak3h8/5Vcz8kQgY0GTywh9Tezvu7gAAMTiarS4sG0cOAIAkgrldqhHEEDYSexwRVSv1juUNYK17AHeckuWpyBwRyYl2VvX9Ph1JBvu0n7vCg17ddiFs2FnDBqNek0pBI1MUZTR4i4OFEIJXDZZz10ji92lS8vTayJvMKO9uBzP1R5043v1mmkp5acGYjoAs/F0UPYIh/hzAIB12Ab1Cagtx27wB3RvKGIPVL8MvKwuuN/mKdO+NyoCOUwSkPXfIHhHV0eiQaAmMII3eIjT6igBJAhMDEJ3OiAIg4Vbri9s2CdIs1T+Y7vaAxFDXExFRjHoe9IpzMMYQYMBe39AH6mWmP6gkp+n4OqL7Bacd+DJ59Itz9AYM2NLlVPXsDRToRsPZgZbw3zZL2LFPJCY5aMRw8sQne9DnkfHLjn+i8hc3gzNW5lokIsjYskLcf840nDzNiD9vH8STfUaIv3sEmDgV8rP3Qf7PO7ReGkHkGaH5ENE9k0EZNWY2szJ6nE7f1ewaf9haiaBFGFqSCAz0Jdhf2Vedb5+KLDIDejtVw5chuFRAKscHghGURMUwEhBd9MEZ0F5Rt+KcniEeb00rAPsiy7NHLIgs67R7tOHplTnYJQ4b2hzoadNJCezpgEfmVOM81fl7MdjCYSomiWF9sp5yFeeOqn4aU5xOlxMC44JGY2KdWv0JIjIRuAOS7rlcgoQGm4x6b5G6KHT89Lf4mP1KWq/u8TrUe8IDI63+wnCqXIoZLeqz0t0Oi8kaXlcr+B7wyFy4UEYKhE4XL7LkkzlAktFlTdzXGIB2f5RjaLPggL9AuwZeaH8GsGA6aipPr1UyaAr+qOdJsF6Ybo3J2Jsc+gYMQOOA/sBHq68Qvr4+8BGp2Ts9UWvV+TxaZ8vUH+HYJ3g6rNqI30itgQZQmf2Dnk37Lfig1YaLutfj2MsvB1d7WK5FIqIoLuDx61MnYfouM16rN6HdVoxfXbMKk956DuytPwG9XcCyn4MrSO1HjyCIkSHSoOj2AaWCANhMgMWchXlIca4JwCVEGAlWU0zZZ7YvYvFamUHesh7ShBkAAJfEo5SXkZKAQWcrsjoby6QMeToc2Au5JMJ882vn5MiMi71Eb/y5UyFExsEvA1vdxUBJxAkiPLAuneiGHDWHieMUQ55DnGiIJGGbuxhFHMPCCj86U4wmJaS7I7w2VArRnJRh6v8itkV97u9R00NZkqzEdJH1/TPUdbsAME36X2yFPyQXxufFPq4Q1QV+NHgSVZ3MjlaqMx5dhp0B4JI4OzoihOagCozT3cksGpRomdMOzD4y7ql9MhfrQEmJS8UzqwlAEaw6xXMMHIMULx0xAm8g/mCCXosLkQVTvJ7g4EmC5ToisVnA+QUAce5zl36hD5Ys+hz9vrNkXpgkXSiCdhAz4BKwenMXZjs68KOzjgV3+Jxci0TEgeM4/PDYWtx+xhSYPCJuWtuDz876Gbj/XQq2aS3kx++k4iEEkcfscwG7vmpQnDMAENMtzZyakegMjsAzSQJzu/SjdHpzNuyKXALjlMIgGUbmWbCimcSgX7gjgxLuCbHrzC9KtWphBPv8hbCIBsWIjkx/jBhV10s9DETl1kVWp0ykacjYHAxkwUELpDavK23aW4HuzjhfBrVzRUYYs+yggcWUnQ9fXj+dTyXFOY4ylPLubi7BAGccGfanPZdJh4i5cvHWG0skQzZo9Ok4LQn6aWTdDL0IcKpP9M7+NAsaRRJZObG3C2Da6HqbbpQ2gzbs79EtcBIXmzX9a2QIOWgHKZLM8Ni/6iFJDLfOBQpPOiXXIhEpcNLkCjx5/gzMrinBU1v68XjtGXD95CZgfzPk+34FlsJIMUEQw4vsCqXPpbcYtB7J1uyKS1+XkoaYZI6ExBgkpjN6n4qoOqmDIYNtIGCAJ+jQmCNL/NviVJBIgwG9ohDq9aGpfpkW8Wz6BOmYe75uUMqfB3FGOGjRBUXSuma2SKO9fanIm+C58Mk8PAkeN+ZNobJihMPSXt+ITYNRjljYM9Cgl36aCupp+ATmbpyFh/XS/zKGxU93VSLaqZ0j7leSFI6yRqFb1TDOvgDQ5CtMuEwGz6X4noueBzoEmCgmXT4j47pEsrZAU7bHmDKFHLSDlL9/tA17pApczZowZ8mPci0OkQZjywpx91nTcMn8Wmxqd+CXfZOwbfnvAZ8X8v2/BmvckWsRCYJIhQTrCKnIMlhft7YyX6LdQ3+kOMerrt+rVCvMMqnOM8oEvdL/IYZiO2XsK/l1HNWAX5OSFZfhNvbSWKxXP+qQHt1+Pr4l3N2RfM50ZHEamcUMMAiJp8RFkGIEjQUN3UQOWop9byhEOpgsqqjJhMIszCvs7YzrrIt6z6nPG7dYjVfm0Z1gWYuU+1ECJzAVIqefSilEuVgq/VH3wHD7b3KVYNMwvC8zgRy0g5CGuj14y1KGMzytOHPZ/9FaZ6MQA6+kPD7y3RmoLCnA75uBpy+4C87ayZCfXAX5v//OtYgEcciT0BRN9b0ritoS8EmQGcAiy6EncwCCRpuueZOh87DVnWg+z/BijrMgdypknEWmdyvb9yc9TLc8fCbkYkQ/jtOStA2T7RBtaLu1pf1dMg+IAWXdtESnTbF/MXAYEHlk6p67daoBZor6PETplvIVEi3MnMpgUBRpLyYfZKQsSu0SBMk7QcbdZAQLf6QDOWgHGfbuHjy204nDBDv+f3tnHiZXVeb/77lL7fvW3dX7ns7a3UlISFjCCCiOAwoSEVAcE3F+REBxdAg4BhBlcwAFJoCsYdghCBgGMgEhBhRQxAAhCWQlCVk66eq9upZ7fn/c2m7Vra1T1VXdOZ/nyZOuW/eee84959x63/O+532///UTWGCJCU6TQ4f/+lIDFk93Yv3nAVw29WJs6DoL0qMrIT1+bywMNoPBGD9UBYHkzea5+snkGSJdAmT3xsy1iRPZw5WyuhwKIqckvirkkrupHDkwZuWOjEm72+zXlES3KghpBP6eYLZoF1nIMuZCFKph80eS8+zlESzlQFAYs//be8MZUl7kyS6VSIdAVBCfsCMlb7TcGNqaw/v007HuGUzj4lpqJuZblqGKNDSAO198H/2CET8+wQuD3VbqKjEKgMgTXDDLjf86owFuowa3mo/Hr065Egff3ADpt9eBZggnzWAwCk9075E/WWhMJE3y3DGfFyFlL06OisPGwaSf++GhvNzjJgM5po5L5SgkpTGH2S8ZCSkc0rmoHckwbqLJupOIBcjIImhLIKoWjY/VAl1MEghB2Vpx1Bg+ygUarkjK6JgXjo4iZ2MxYQraJIGGQnhp1e/xjrkJ36oDWtvqS10lRoFptOtw8xfr8d1uDz7knLh8wZVYM2BE8Iafgh4svg89g8FQUsx9WOlQ3fDPyIkxCzz79sgWx2ON3dndOHMlpqZmsaAdi+ObA5VTKRwjjKmLB/JbyJoMMAVtEkApxaePPYqHTJ3o1o/gzJOmlrpKjCLBcwRndThwx1ca0VFpxv3NZ+LqmrOx49abQDdvLHX1GAxGOmyOghSTItywRPY5w4/VmEXpmPb4TEiKNJz0Ube2LJaiHSVY9Cg1TBDPgXEMb18usHExCeh75UXcFGyFlZfwwy/PAMeCgkx6KkwarDilBj9aUIXP7bX4yfSL8ehzf4L/9VdKXTUGg6GG0VyQYlJcHHOM5sjIkodqHOCO0Z9mLZfg6DmaS26sIvRTGctFZVy18YcvQN7ASQJT0CY4off+gts+AXq1VvzHaa2w6gqYt4NR1hBCsKjRirvObMbCOjOervsCrvhEjw8fe4IFD2Ewyo0CCWGjmfa9MdLDcxnD948Hx2rPKRRj9tuUQtZxYSrM4s6E4FhdxVCBKWgTGLrrUzy+9n2872jDxXM8aHMbSl0lRgmw6gRccVIdVizyImiw4GfSTPzPfc8h2JdfdDgGg1FE2DJ54XF68ji59M9/TNHrJgl5hcDI4TE5hMmj6GUdmcLkWXgXck1yzWAK2kSFHunBW6uewjO1i3BqnQ5fnOIudZUYJaa72oLfLp6JfzIN4xnTdFz95F+xf/PWUleLwWAAKAcFYdKRzyMtseXmRLN/QglcnYajSzKcCMHRR/5LpkWbZ9CWMl4gya6yFL/u4jgpTllbkmt6kmOAifS+YESgw0P49J6V+E39V9BqJvj+grpSV4lRJuhFDpd9dQ7+vY3gM50LP3p7GH955U+lrhaDwZig8GW94l2+QvdEZ8wBVVTIv6jsY67knnC1DSWugAp5WZSVtOtyV3hnHoXyXupuS6ZYIf8LAVPQJhg0GEDPylvxq4rTYdYJuPq0Zmh41o0MJSfObcdtp9eiig7hhh43nnhkDcLpctowGIzyw5Imj6WnalyrUbpdWzkITmVsFZms8HZX9pOOhX7hZLlrVgEsjdoCLYIQuzPlWFOOlkYCoELMLfm35ii6l8vWVv34btUp5EJEoWGS/QSCSmGM3Hc7bjAej2GdGf95WhPs+snjm8woLJWVDvzq/OOwiO/B41wzbn7oNQwfOFjqajEYjEy4K4GKaqRVULRaQKcvyq0NnLxTyJsgqE3XB+BW2+8jHmU49CzR2gohnJi4iZP8t9xIJ7dyJkv2i7mj7D0pD3fU2kZ5TmQlN0m8XpOjJYmTx2+hlKt0NOTryplE7goIRZsuhMoclLRco6GSlo6M36u+VwgHaMYvKXk574ljCtoEgVKK0KN34/bRRmw3V+PHJ9Wiwa4rdbUYZY5OI+KH31iI73qG8Y6hHv/xwmbs+/s/Sl0tBoORDpMZxGxJb0EDASq8R3ePNNcrZLlIYAIjT+ERkwQpnR7gi7s4mC6ghrHMlK5yq0/RycU6lnRO3laKcPZnKkbKJFod4MjBtS9dHZIWO8Q8pOKjVZ5iVUgY6zZeOddqNeOwd7KpPdZlNr744zmadCGdNY2MowW2jA1oTEGbCFBKIT27CvfuN+Jt9wwsmV2B42qOobCrjKOCEIKzTuvGz7sMOKK14Cf/COP9Z59nofgZjPEkZ6FDPo/oMrn6ZClrjBt0oldJgKK+yaWRmoYxla8sJHMd0wkn+Qj7OT/y+ubcC02i5Huhxptc2kuUvadJJ4gnW1gcubhPAs0RxShmgUmuk9mqfqFqeUnKZB4udrVtTeCmdqYcT9deBZG2nmj2K8Z0sy6Us1tilAoxBDjGGCjOYgXhOJDGdgBKZTEdBAltLIJLojGTcd3pAXLY1pOs6BaSYpadCFPQyhxKKejvH8UTW/qx1jsf50x14F+mOEpdLcYEpGtaA27552bYeQnXDbfgf1c+DHqkp9TVYjAmLvkkVS2kIJ9NK3BWAADsfBjT9AH5EoMpoS7q10eLHQhzACHQRaxDqmdn037qmwFNBtezLJenExPbdEG4YoJ5QiEqicBzjkyXySUvSx/rstxjoobWT+/GltRxauMgYv090ezHQpN6YurpkXGZsew0aCLPlDS3pamiSjk5zj/SMiWn81wGEVyFF8RgzHJm5DmKSW57yZ8jcGMIqd9q4UGiym1VrbK8bO6Ika+JzQ4AMPM0Nu8BxPa8JvdXbG5F+jrr/rXaxpRD6WZdc0NF+nIsVuTSmZoiajcucXys5kxBK3Poi0/gf9/fjacaTsMXmiz4VicLp88YO16nGTef14VZpiDusS/A7x5cg9D775S6WgzGxCRZyMq4d4LkFmUtm+LD5aAURs6x8BIcgixMKMS0NEJg1L1JIBTzrBK6DGpCdG4QUZNlL9LYNFY9R9HhVHHvtykXLpu0QaWClkYgzorNqbpPxcqHoecktGSJftdtGMVxRllJCVG5zV4xBP04uEY6hTDgVJcZCrb3RlAZj6b4YoDaWkKzNgi7IKHGktwnudQpYmEWBHB6Y+IhJTZH/F8ml+Ck+Ua59ApSuy4QsxxZtLzq9cl7uKLzDwZDdstafTPItC70hnMXzbUcBTdjdtrvo9Y5Ox9GXY776xT76igFzFYIhCrGTHJLsr2ViFYH2ByoEcOgkWeW7g1g82YKhJT5vRFVFAXQ1FQMtizGjURLusqCT4xxWnNhCloZI/3hSax79xP8rvVrOK7aiGXzqsbVN5cxOTGIPH521iz8S62INZXzcP36fRh44kHQUGH86RmMY5ZMP+pQj7KWN4KATEKKYLerKnl8ovsYL8jCSNKqNkcoOvQBTNEFodVpIcSKUUokNRZNyj2i7mbmXPewZPktU/t2hkmKXXq8yZ+xjBTLlacyt7tV1aR8RbypqWxmubSYYwwkPCN1BAJoI5KWVyvXv1EbwhyjrPyaeQmw2o4+6IpKPWSFIPULkVB4xproOcXfNfuCQeySJNfDUErOq/SSr4GTlEpttvHjqoj/i9xXdWwmK2gZytQQWUkDAFssQJvyepJUZNpacnwsKE/sXFEDIogI09zlPEoBIiSOHWULokoVRzK7B9N0DddoQSq8Ke2InR5R0IdyyHN3kpugKmFPHVdZnf7kdIFfCFFq/U3tiq95ILYAJSa/A7K9f6OLXwRxN0p3Zco+xfGyiTMFrQyhlEJa/TDWvvMJ7pqyGJ1VRvz7CdXgjzlnd0ax4DmCpSc14//NdmGjsw1X9jdh36+vBz34eamrxmBMHJKjKaaVcsZG1PKSCCEETqOY1gXNJiJVKnR5FNH3iKiR/2mVlqiAROASJNk9SJc+CJXanUkkaIhXDMX3aGQoI9tKOHGkClNmIX5ngQALKjWoilosCGBNEMBT7CBJ1rzmxNX1RIlaJUImUVO8x/Bz3KCnOMHkj8mX3YbRuOtY8tjJV2Frkl3zjjP6UaMJYbo+gFpNCKCpSkmK66eYajVK27xkxUgQgOZkt8A0V0cszAKhIAZTqoKWYfrMNgag52iC22ziPeS/k+dLhUnEcTUmzKsxodtGMEMfQI0msyue6hSO3IojFDaB4kSzHyaNLMxzXKqClo5YUIyKahCjSW6P6u3SPYjU42kfmVG2Ylp5igZtMKs1iaZReEnCHrPEM2jse/k+6VwpoxYttdIzirQWe8qhmGtzgupCkuY1RwDUNsUPJCpliXsj3VkWbKKLCQZjbMxH28gUtGMUKkmgj67EK+/vwcr2r6O7yoCrFtVAK7CuYhSeL01x4Zov1MNnduM/Ks/CB7fdBunNdaAFFjQZjAlPfVOqi0xeG/Pzl+i1aV77hJC0BgRKaUygiM1ibUTpqG0E6ppUrwMAV2K0xgQBRv1eSQeb4yvZ0/VBdFUZ5eh61UrrU9QCkXUPmsoriAAgVjuiLRMShTPCIVF0MvJSUlRKpcKTSzCE2F1zaX+ULAFHFNvmeBq3wFGqtKgkKc8t2mBsP6F6uQQ8odBysoXOLkjy+JHkMhOtR8MSF3f5dLgAWw7BOeJ3Un6s8Gb07CHdx4NEcqc5NbLrqVuQQGbMhkI/szvhNWS2xhGLDXBF9icREq9JZBxouWhkRbngdpceOoGDVuBgEmQLUqprZ0LdeV5d+K6ogZ0Pw8Knfhu7OmG/JbE55XHgqlBVCIlZXixxqVgxOY6kjCzF5yR3zeQatVvjlr1oyoBaTRgaLrNiofqT39CiWgcCoEYTBhpbY8ei+wKTrfJNWhWFONLxCuU2GrU2ekjFPbou+iwz7AvlLFYQngea28G1TAVxemJ9k6jMzXSqLIAkBkbSG0FaOmRX7QiVkfdjtP+KDZP6ywgaCoHefyte3tqLu9vPwWyvEctPrmGJqBlFZWalEbf8cwssNhOunXYR1r38FqT//hVov6/UVWMwygYiahV7txq0wZzCBFp5Cd2GUXV5vlEZ5MAphKGPxPl2qOW4jAhEhBBw6ZRDSmP3IkYzyOwFsVVwotWBpAnc0aELwJoogCZEkeQ658ePi6IszGVoOiGAWcvL0eH0yiAK8SS3eSqsekP8iromEK02JYKcJ7J5/zijPxaGPV4pDqiujymeR/2rmiBcdicnK65vShNJUB19xPdspiGQJngGYBXi+wnToZqTK2JBm5FULmmfLrtz2pxpx7FXDMkWEJtDtsg43SlW16mVWdx6RU1s3uh5gmpNOHY7mqAyEKdH4f5msJiQgsEUF9wThWlt3OqZNix9Suh/lWdV06C+OKnToS45rVHiedX18kJEZTVIczuIpxJE1GCGQ1AodYk1OLHeHBuvympyaWcGAUDMVmimzIwfjDyPOqsmsqcvfr/o84y6VscUYp0ednNSe1TGQKLrJGmKv6sogCoxDLsh/n1DRHlKHh+Z4BIVrch8qo5dLn+2JkRMNPKRxaeKNK6Rja3go0qj3ghEFanqOqCmXnGqmCBX2/mw6v7gClOkfclusFkDwxQGJvmXCXR4CNIdv8D/7gngnvZzMLfaiOUnVTPljDEueC0a3PzlZkyrMuOuKYtx33AVRq/9Ieg/WAARBkMN0tSeYjnQJS/sOj2YogvIgoVaGUkrwQKhmFttwkkNFkyvSFA+nB7AZo+5EVIAfEQB8CYFJTDxQPynnYIIIhbWmVFpTlXMpnr0ciCJxDq1TAVpnqIUgBNWnjvnTo8elf8TRaCqNrPbT1VtqgCYbQ9RiqEjKtVTEIsdpHN+ykp6pRjGiWZ/zPKYoqPpDbKQLxckK7wJVgD1iqg5dilLN/IUc43+WF4sImrhdFgw25ikuCUXXS9bKGbbgYXWEEQC2NMoYYq2pHl2UYsMSbSyaGSJlydAe31cqa+36WQFnuNwQlXcSqA3aGWFA3LI9zZdCPM7m0GqamOWMBkK6A1wG9VcMQnA8zEBPxRRZpL3BSbrQiQcwlyjH3OMo5hjCceE8+j+Rq1BbosAWVBXPAZ3ZUxZaTUCHe7MydwrxTBmJSrWoggiauQeNhhTlP+o4kYa20CqakAiSich8rgivABisoAzmBC1gaUM+cS/07kUkkiaCwBTdElKtdoFDfL4bbDr0OTQxYaoRxvJFcdxsStjNmV3apRESinI1K5Yu1LqlWHBYZo+kFvUxKQOVyhoIJhn9KPZFPMnVS1iqseAadXqFizCC4rLorcjvKBIWzJNHwANxd+bzboQPHou4QL5vzanDifUxxcg4l02PtuNmPRfBtBD+xG+8ad4etiJe9vOxtxqE/7jxGqFhs9gFBuThseKU2rxL1PseMm7AFdN/S723fffkFbdCeofKXX1GIzSQ2Url5GTUFmZukfKoSFIFOL1LmdccEkQyBLDWHc7OWXeoyTBbaZhFFPbakBcyj0TXMTq4tBE7mc0ocswijqdFJMfaGTJnOcIZngtaHIolTSXIVW4Jk63HFhBEelA/tvISbAaIsJ89GunB8SoYu1ILNNokpW+6jpYLUZUiCHMaq7ADH1EQG5oie2ZyVhOpmPZrJlEKfhxJCK48YLi2nne1NXx6LcKt8gk5VAn8LL1JqJET3OIMKi5Uaq4bnGEQNW5Lo2QmiwMzzaOYl6NCfXaiLKdsAeno9kbS6Ztq62RFeqKaoiJESMSlJHpDW40eu0K91qtwKHOqoy4ONsYQOu0FqSloRXoPh5A3HKTbRs9qa6H3mqFwaADqhsw0xDEiWY/OhbOBZk5F001bnQ4NLAJNKW/idUOElFWqvQkVXFMOF+IKKAKl8WIBYVSgHjrQKrrVa+F0QRSF3djTVkEUGrSSP9JHQLAG3Gli+6ptEXNzqobuZTjMGqVJAQgs+bKCxkRwtHmqlgJOUJk1z0+TRAikup6mUuLomeoZj5InEMpJ6jcTaeH2yimvrcqa2LpANLbHyPwvGyJDsffuXqOYoo9oczIMyWEgCMkVrcEb+RxgWkAJYZu24zgDT/Fvbb5eLzhdCxqtDDljFEyeI5g6ewKXHlSNT43V+Lf5/873ty8H9J1l4N++nGpq8dglBwtoeg2BlS9GxR7xrQ6pdAR2aA+xziKzoTw9SaBk6OrVdUADalWOStPVa0U090GVGtC0IucnPDXbIWJp7IQQeIWtEIQtR5EBWwKCmh1ssWIV664E0A9qAaAKrcN/IxuTDl5IawVblnQRsSVqqIa0GgwtcKADl0gVvMuw6i8OZ9SFSEvixUuh7YlKg0LTX5oxdR+VdX96ptBKuMRH8nUWeDmnZwStCClrBmzQVQCkaB9OojHC2JzyIqrIMby2SVGllxg8svjx2KTQ+gbjBCr65X71BPq6zGJ6I5EjORFAaS+JWUPDWc0xxROvVaDOmuqtbXepsXMBKuugaOosqSLtIfIPsmI5SbSmbxaxMSa+ti+Kk6rBZnaCTLrOIXSSEQRRG8AzxG4o7fMlGMvgwRNXBUKa8pMC1Xs7cs+Y5KUrkwLA0lKvKrCnnRnQuQ8Wyea/TFFfKqVYPaMRnAJiiFX3wR401uuCSEgOgNIQrAZ6vTIew81OggRV0S33YQWhw72mEt1PJx+vU2bWGCGuueJ0wPeUwXBmhAIJLl8FW2ezDpOtThiMsv7E3Ohrglk1lySs3h4AAAgAElEQVTZtVdRCJEVRpcnZkFO+FLxiVpTA5gUg/wz4jEKhvSntfA/cT9un34h3ra04uypDny7081C6TNKzvG1ZjTZtbhlwz78etqFWOjbjKW3/QK2E0+BtOTyUlePwShLagzAXgIEKIDqeoWcGBXcDTM6gcMHgc8jK7iSJEdtEzWya1UuUECv5dGkDcEP9X0S0fMSUVsDV3yfJk9QdOXdmBjEwuaE4LWDjERWmwURsDlA6pyAS11YqrWmF/gIxwF1zXBp+0GHj2C32p6YjJXP9GWqIB39ZBA5DAYkUKS38EQVC0X4c41ODoiwf49cXrJSmu53nBeBqV0gAT8w0B8/3WgGGuUyOPthYJCHQSNAstkwSgnQH60LQGkYpEK2GLS16KA1K61bhONlS1nSPkUuozIhAOFw2hx5hBCl1S0NDdogdibdJzp+kp8vpZCVpci+o1zcOGGyyIqxtxbozyNVQLQ8rU5xI5sIUEGCU8eDNwpwGwXs8qW6ptIsoe+1PMFomELLc/Gq250g++MKUvNxnTi0Z0j1+iZtCDsgVy0lxxghMFV4QEb7AQmY5bVgwBjGP/YPIyUQZsxNL7W+Yb0RpF5W+nUWM7oWdMGoE1MihNdpQuh11qDSJMaehV4lUJ1Zy8M3KsX2PnKKXYUqRL/kefAONwhJdM/ObkFTw6EXcGRELqfJoVUGZFWpc9TdkXBheWGrZx8QPgAQgnaXDoKnBiLPIRhOTOmgrFGigl9MmJmmBNBgANLDd6DniVX42dzL8I6lFUtne3BRl4cpZ4yyocKkwY2n1+OCmS687ZiCyxYsxxsf7kHP5ReAfvC3UlePwRhXZPdAFfGjeQrQ1A6P2w5SXY9ZhlFUiaEUS4pNx8tudSaLbMWI5gCKuOYkW6Kyo3S7gcEkl5kQeS3ZkhA9VyuQmLtjozYEKy/BYTeBtM9Qnu90gzS1w67j0aQNKiKyEUIUAUAoItaJyL6mRHKQ6+NEog4mlpFW6FOUm12caXXqkPLcIO9X8sQiWKZWliMAGlpie4NIS4dcv0y/1xlyLhFRTGtlBABiscbbH/mfm94NMrUrpYaVZvUE3KR7AaIuf7FjaapLCEGrLiBH2MwQIS/VC015oNswqh6kI3JetnGgKC5dXTkOpL5ZThOR114g+VyLRnZZsyblRJvmENDhNsAg8nIE0gjR/W/6qDukyi1ParDguBoTOtx6VJnjChlHCOCtl9Mp2DhoDQZMr7Fhiku2oBKnO/YeqNaEcVKDJSYDEk/6ZM1GDZ827ZI+MmxMKt2YqMxVmTWwGDSq5Zh4ihPaPAqrrJpluN6mRbfXGNtj220MwG1IsqhP645Hjo2OrQQ34/iJyRY0+X7ZerjVqYsF8xA52bXVrudRZ9XCrOXR6tSluHYria4ecKgwaeA0iLBoeTjV3L+VVxQdZkEbZ2jPAUh334StR0Zx08KfYoTXYvkCL+bVZo6ExGCUAoEjWDzDhfm1Zvz2L5/j9o5vYt3IXlz0wH1omfY6yDeWZtw8zGBMdkh0j4K3BkQQoeOACjGM/UnnzaxUt46RqhpwZg9IT2rOs0Qa7FocGAhiJBQRLAUBxF0JOCoAX0RhigSdyOaO5NALqIm4p+k5ipmGAAhJjb5GWqbG/q5WEbzVEvKqeZcJPEE4pHRRJCQ125NFy8tWHLU2ZNv4kSjtcTwghcE5nMBw/NoqswZbDw2nlO82inDqIhbNBAVFx0nwEwKeIyCCmGKtUGtDpu94h1vhcpYPnN4AIqTLNhW5p9UO2tebvoykZ2oQOQwH5fFUJYRBqZTWgpYL6YLhRLsuWUHLEPC+8EQKt4ocFjU54NuRPaG6kZMwRR9EW60Z/JbM1iFCVPa9AYDFCiNPYaqIpBpIEPyj84vu36u4hJt3snw8Q17SdNZem5ZDt2EUJoOKBS3SgBkVhli02PSkKkztuiB2C1ZoqPyuIoTApOFiCxd6jqLNpYdOE8LugDyOOJMJRENRadIAtnp5z2dYtrDzhMjzLRxO2ZvZ6TWBHB7FjtHM41ErcKgwijgwGIRFK0DgCGZUxN+1VWYNDg0F0xdgsQK9BwFTptD58rOw8hLgcMGqzZ6cvRAwBW0ckf7yOuhjd+M1VyfumXMWHEYNrj25Runny2CUIXU2LW46vR5rP/XhiQ8F/HTOZVh04D2cd/2V8PzzWSAnnCa71TAYk5kMElrian4xVlrrrFpUmzXYeGAYDXatrBg2tYMLSYBvMKky6jWICmUGUW2uZnF/7Jof29umpisZNTwODYdUnZxanXpsP+KHRsWEMk0fgKbKCKPIyULnZxFxL0Fgq9eGsBMqNrJ0kfBcFaAH94HTaEHMqXtNAIDUNAJhZVuIxabwYplS78H7xAK9wMHPS6jVhfCJf2wKFgAITW3AkErApTTul4CKEtPYKu8ZO6TSCW3TQSSV0O0tHTHLZCIzKw0YCkSO1zWB7N8bzxk1ZSbo5o2K82MKnkYLwB97VnOqjRjZG9/H5TGICJJUBYBLCs2ZHNI+3733Y3I4ohSikCXfWtJnfowxAQgAYjCBRBSuMRPNaxjzXiTprYeUpirKBiPQ2wM+sjiQzvqWuQoE9tmzYRc0oH97M+15PEfQ4DZh96HovlWChXVm2XuAEDnk/WcDke+A1plTMDQSwL7DA/GcgAAsRi1oGoUfAI43+WNPwKYXcFJDegVLbZxE3R9rqlzg2rypJ6gUYBMkLOxsgjCG5zcWmII2DtDhQdBH78bw397Gvd0X4Q1jC2Z4DPjpCV5YdKwLGBMDniM4o82Or81uxD3rt+IFMht/8nTi5Hf+hrM3XIPqcxanuEgxGJMZgyjHDBsKSurWpOhnQ/YIhfL5mVU6niMK96us5VGlUG7XC+iqMsI8hhXgxPxpbqOI/YNB2eIVodaqgcgTeFSsCA69AEe1+jNwCBK4hHJodO9HgoBfqwmjzhzOLJAnKgQRK1BUH9QJJJa2gBACtHSAeIzA5/H9QKRzPiBGfo8dLlg1HKzNjZg6FIRDL4DnCKR94bEpaBGLXiFsRMTjBUcpgAHYkvI6EI5TjRJJVHI8AYCG56CJ+MQRV0U8CTQi1rjkcqJ/VNeBuOJtMYg8dAnpAaa4dYocWjQydvi89u5Eys8SdEV5SYbnm7hokWOZsfYrN8flXp8CEwu2wpEMETFV9qBV14NYHWgzmHAwad7mQ2zvlVYLOhrfp0c0WtDAaDzfYscsEH1/zN0xnUJICIHXKb8XWjSjoDsQ00IJlyZpeAQhj24wqFgLBY5kVOrUIK6KcVPOAKagFR265UNID9yKbSEdbj35ZzhAtfjmDBfOneYc0yoGg1FqTFoBF3V58OU2O1ZvOox13Fz8UZqD41/aiC+v/zOmfvVMcO7K7AUxGAXk5Zdfxrp163Do0CEAQE1NDc455xx0d3cDkFfrn376abz66qsYHBxEa2srlixZgtra2jzuohQZ5lSbsH8ggK2Hle6JibIgmdqpSPo8HjRYtdgZuX8yycoZaWwD3bE1L3OEPWHFWisQ1Fhki15Vmv1Q6SDVdanR1KSIi2Py76PeCPgHFRENFcJyYv2jChoNx+qrbjVMuFwbV0BP7o5Hy0t0WyNTO4EdfcrrPF7AEc8P5jGK8EfcUMmsuYB/BNi1Lb9UJQltoamHQAhBt9eoGrihmETrQHgBxJqHcGu2ADX1IE4PyOc75eiTkPtlMKCemDun+kT+t+l4eeyNZHjGUe2GcFkjbabqYESO2rnjU0CXeyLmgkU+rJLfUdGxoPDmTb6FswLE16uIREgIAcwWaADUqEToVJCL2b+jC2SwL25tbp4C4jusSD9wYn32bTuKqkf3ZKZ7VyYlmiZOd+ZIngkYRB4L6sx4a/dATuenEK3oOG/nYApakaCBUdAXHkfg/17AMx1nYrVnPmw6Adcv8GJaxfj+WDMYxcBtFPH9uZVYPN2F3390CGvJDLwJHvXPbcaXrO9h0ekLYLDnGPqWwThKnE4nLrjgAlRVVUGSJLzxxhu45ZZbcOONN6K+vh7PP/88/vCHP+CSSy6B1+vFM888g+uvvx6333479PrMSW0BOWfYdkFEpRgGaWyLHY+uziauSkd/zzU8yWmPZn7BDrJD4vHws5OPwKnCvJqx758mNY2pB6NWv5SgATz0J56OoZ4exWGRRMOTJ5wf2UcmRJS9UFjlQYzhkROzFcd1mBFO2IxGkhJdT0lIkCxHKDSA7vw0v/skfkjThybN+LuUj3WU1li02Bai8nzoiuflarBp4TVr8PaewQxXZ8euF+A2iqCZdOBgRBEcyx5AQkAsdmDW3NxOT/o/6/ld8+MLE2rfJ+0LTLSgpcRt4XmgbVqOd85Ou0tlb6pWC2jjVllisclpHxLPyaScxlYdEs43moAZcwC1FBRabUrkxMT9sbkQtXzVWPJbRIrcbQzXHD1MQSsCdNP7kP7nv/HxqBb/feLV2EuMWNRgwZLZFWM2LTMY5YpdL+Bf51Thm50VWP/RPry00YB7QpVY9cJOnKzrxxcWTkNrtYNFKGUUlblzlcLTN7/5TaxduxZbt25FXV0dXnrpJXz1q1/F/PmygPiDH/wAS5cuxYYNG3DaaadlLV8ncDhpZh2oz6QIR2/RCZhbbVJsutcRiiqziAq1oAERKkzyxnYFyUEoWjrkfFh5IkT22Ij6o1O+SoLBBBw+JIexV6CiqfAcajRh7NK6ZGsSISDeOjmUPQADZKGXK6C3SvbgCiq4KoC9u0BEDeSoJbkzxa3HLt8oxDLyuMm3KtUWDapVBGNCCLTpfNUIkfPFpeSkSiVlZKhtkqxtBKESYE1KJZFDOod8f7vy/akjaSxBpKlddf7LewHTaGgFpsI0FoUmN1Kec1KaEVLbCOztB5w1KAT5ujSmMl7xG2WYglZAaL8P9OkH0PPee3hs6tfwum0q3EYRK46rRLc3tz0IDMZERSdwOH1WDU6bWY3Nm3fipXf24LXRCrz8xiHUkN34p6mVWNTmUg1fy2AUEkmS8Oc//xl+vx/t7e04ePAgfD4fZs6cGTtHo9Ggo6MDW7ZsyUlBi6KWKyxRaCdTO0FEDVrVVoITaHfp0e7KfE66vUPZqLLqwE1rhseVg0BSRJnj+Nox/O5V1YLYnCC+lARPKacSjgc/ewHmgYPIc+BqTpJPjeQXM5n16LDrYSvxXm9S0wB4a1MsITHSpEMA5AWweBLhwpBLPjM1okFC6sYhsBkhBEiTmDh+Th7l6Q1Awh5pYrbKEfyiiHFFJBpe3ivmkWctgehzkrJFHs0CSdoqYNLIOfvke8jHKgutQDlcwP69GdMtFIps/Ue8dQjSQZCglCVUfpEZ7/j6EZiCVgCoJIG+9SpGVj+K37vm4vkFyxHmeHy13YFvzHCNbcWNwZigEELQ0dGIjo5GDOzcgQ3r/oI/BuxY9ZEe//ORD50uEae0ezCvxqTIs8JgHC27d+/G1VdfjWAwCJ1Oh5/85Ceoq6vDli1bAAA2m9INx2q1ordXPSz5unXrsG7dOgDAjTfeCJfLpXpeCrmel4DWHMLe0V60VpnhsuRn9RoNhWHuIzBqeLhcceXR7VYmKRYEQbUNYZ4gYDGDt9mgGUPdi0WDbhCf7NDBbpVTFwhWa9o2pOByQXI6QIxmuJMETfNhWcpyO+0wD3Cw6UW40iTWLjTJ9Q+NDiPYa4Zgs0FMOK7xh2Ae5GAQlX1aCM60y94MueyBH7HI7qv6hLqd4RUQCoVSzvW7XKABOXCEzuVOr4yqYD5MYdUJcLnsOV8DAEPcMHzSENwOE1x2PcJSEIFD2ceyIAhwn3QqAHlvqtTQDD5p4eVsjxsjI7Jrqj7PeWEfEUCHg7DZrXAaC6dAnWJ3YDQkQRAEVHjcONMpxzIopHcKdTqBUDBi7S0Opl5AAoHTaYdRk3mcHG+0YueRYcz0WkrmhWM07kU44IfdZoUwju9IpqAdJfSTTRh6ehX+N+TBC50/RD+vw8I6My7qchfVNMxgTATMDY04Y2kjvrR7O/asXYvXD0l43d+N/+oJwcBTnNBowxeabGh36ZgLJOOo8Xq9uOWWWzA0NIS3334bd911F1asWDGmsk499VSceuqpsc89SXufCk2nAyCBQfT05L8fxy0G4DGIGevocrlUv6e+I6D9AyBEAClyG/PBTihmcD4EB4EgAGLohxgK5dcPgVTle2BADhQwMkDk56alRe/bKMl9QHt75Wev9yme/eBoGAMDQwgJHHp6sufrKhZS/wCIwaTY95d2HNW3A6MjwPAQhny+vO7T6QCAPPsWgIFSVGqC0IUG0dMzBNo/ID9PozXjWFZtg8r5Ur88VpL3PWZjsH8YAyMhHDocAh0pvMdISKveBxMFX18/TGYz+nqPYCSHFAbVWuDw4cPjUDN1aHAE/hE/ent6QLSyG6bXmyU0fwFgCtoYoQc/R+/qx/FKD48/1H4Dg4IeXZUGnDfTrdgkzGAwAFLXhNql/4YLj/Tgm6+twQf/2Io/2qbi9eAsrP20D16TgJMarTi5wQrvmDbxMhjyynhlpewW1NzcjG3btmHNmjU4++yzAQA+n09hwejr64PVWh6J1o9mgSKadHpMRC0pR5GguBgQQqDjFAcKfo+jem6FwOEC2bsL8CiFvWhTpfH2qUqCdB8vpwjI5VxBAARzPBpfPvcZY98mRw4lNgfQPEURVfNoIFO7gL78FQOjhsPhEZTVvsFyIjqqxzNk/dHQ6dIiNOwHwqmW42JSXm/kCQAdGsTOP7yIF/eEsN5zGoJmEbMr9fjGLE/W/QQMxrEOcbggfP0idP6LH7Peeg0Xv34f3pIceKNqDp4caMQTHxxGq0OLkxutOLHeAluB914wji0kSUIwGITH44HNZsPGjRvR0tICAAgEAti8eTMuvPDCEteytBCLHahrAso9NYZK4uOJDtFogdkLUo7H9zCNd42UFNPNrViQhFxuR12W2SKnCMiTepsWNr0AK8tzq4rHKGIECYnPyxzBYADPARDHd0GHjZ4cCQ0O4N1X1mPNAYIPrF3QVITxT/VGfGVmFeqy5ZVgMBgKiFYHcsqXYVx0Bk7bsRWnvvkqDr3/e2ywtOFPQ7Nx35EqPPC3A5hVacDJjTbMrzWzvZyMjDz66KPo7u6G0+mE3+/Hhg0bsGnTJlx55ZUghODLX/4ynnvuOVRXV6OqqgqrV6+GTqfDCSecUOqqlxxSlU8uuBJRIGFO5AiCpdZ8shDLknCUQSYYpYEQUvLANOVMu0sHh9OF3iOlc1vMB2J3Ah0zAfP4pg1iIygLe/YewlMvvIHXBo3o1TTDaR7Gtxt5nD67NSXhJ4PByA9CCNDUDtLUDs83RnH2pr/ja+/9Gbs3rsZ66xT8yd+N2/ePQPOXvehyazG/2YW51SY29xgp+Hw+3HHHHfD5fDAYDKivr8fy5cvR2dkJADjrrLMQCARw//33Y2hoCC0tLbj66qtzyoHGKAMKZEGbU21CqMwVtGgAjzKvJoMxJnINUlNOEEt+AWwKAVPQVAiGJfz5g934v4/2YSMc4KgHXeQATuuwY25n14Txm2UwJhJEowU654N0zkd9KIhvbfkQF7z3Z3y8dS82GJrwtn8a3j4YBEclzDAEMa/Bga4WD7yl3kfCKAuWLVuW8XtCCBYvXozFixePU40YhYKYLUBFVUHKEnky5jDz40VUxGAKGoNx7MIUtAiUUmw9OIQ33tuG9T3AAKeF209woWEnFh03Be7mU0pdRQbjmIEIIjCtC/y0LkyjFNP278HSTf/Ap5/+HW/3i3jb1oZ7R7TAxztQGR5Ep2EUnTUWzJzaCKOF5RxkMCYVLVPld8IxQnRvjsvARDQG41jlmJ/9+/pHsf4fu/H6Z4P4nOohShzm9n2K06oEzPrKQlQ0t03ocKYMxkSHEAJU1UKoqsWULwDtUhjf/mwH9m7Zhvf3DeLvfh1epzV4eZsI7tPdqPf3oI0bxBQrh45qGyoa60DclSAc28PGYExIJkgwgUIyv9bEvHUYjGOYY05Bo5Rix5ERvPPRbryzZxDbqLzaPt23D1/T+LBgdhtMs84EGYcs6gwGI38IxwP1Laipb0ENgK8ACPT3YctH27Fxbz+2hAnWk2q84tcC2wDLx/vQMPx3NHDDaDDzaHCbUFvtQXj6DFDKsfxrDEa5wvGAFC51LUqCJof8UAwGY/JyTChoQ6NBbNq6B3/ffgjv9vM4yBlBqITWgcO4kPsUJ7W54TnzBBBzeeTDYTAY+aGxWDHj+C7MiHwOSxS7ewaxZds+bD0A7NR48DLVI0AEoAfgDklw/eVtVI72ooIbRZUOqLDoUem2wlPtgamqCpzBWNI2MRjHOqSqBnTvrkkZYp/BYDAyMekUtODQED7bsQfb9x7Bjl4/PvZrsEOwQyIcNGE9Zg7uwteNfsxprYRj5vEgpvxzXDAYjPKG5wgaPWY0etrxpcixsESxt38Uu/Ydxu79PvQMGrBnQMDbkgb9nA7wA/gMwGchiNJ22IODsNNR2PkwHBoCu1EDq9kAs9UEi9UEs80Kq1ELk5ZnrkgMRhEgNQ2At1a2mjMYDMYxRMkUNDo6KrsuUAmQJIDS+N9Swt+hEEZG/Nh6JIBwKIhQMIjwaAAjI6MYHAliIBBG7yjFQUmDg5wBhzRWhDkegB3acAAtoR58XdyFaZUmTGlvgLZ6OnNpYjCOQXiOoM6mQ52tGphaDZfLFdtfOhwM4/MjQ9i/7xB6enw4MjCC3pEQjgQJ9kh6bAzqMTyoBwYBfC4B6I/8kzFIo7DQIIycBD0nwcABBgHQixwMIg+9RoBBK0An8hBEAYIgQBB5CKIIQSNAEDXy54hrdTT9EQWNfU4M6CZ/prAG+uHzDcvfRc4ReYJ2Fwsdz5gcMOWMwWAci5RMQZNu/AmwZ2dO5+43VmDF3B8D0Eb+xSGgMAsjqKAjaBGCWKg/jAanEY21blTVtUAQJ52RkMFgFBiDyKO5woLmCnWLOqUUo3196N9/AAO9/egfGMbAkB/9I0EMjIbQHwQGwgRDlMcIEXGQEzHCazEsiBjmdZFFoyihyL9CsDvlSEWwDys/ezxBq6MJGl/S36Dg/m05SHVdgerDYDAYDAbjaCmZ9kJOOwsY7Ac4TvYv5zg5UlPy36KIKkGDX4VGwYsieFEEp9VCbzXDbDHBqBViIWkZDAajGBBCoLPZoLPZ4MnhfCpJwKgfGBkG9Q8jODyM4eFR+ANhhINBBIMhhEIhBIMhhMNhhELRfxIQDoJIEogkRTwJKAgNy59jxyQQKkHkOIRCIfl1CYCAQIMwYHPGI98R+Rv5hPjfBET+rNEU7bkxGAwGg8HIH0IpZakQGQwGg8FgMBgMBqMMKGpopCuvvLKYxY8LrA3lw2RoB2tD+TAZ2jEZ2jARmAzPmbWh9Ez0+gOsDeXARK8/MPHbMB71Z7FrGQwGg8FgMBgMBqNMYAoag8FgMBgMBoPBYJQJ/DXXXHNNMW/Q1NRUzOLHBdaG8mEytIO1oXyYDO2YDG2YCEyG58zaUHomev0B1oZyYKLXH5j4bSh2/VmQEAaDwWAwGAwGg8EoE5iLI4PBYDAYDAaDwWCUCUxBYzAYDAaDwWAwGIwyIWui6ueeew7vvPMO9u3bB0EQ0NraivPPPx91dXWxcxYvXqx67emnn46lS5eqfvfRRx/h2muvTTl+2223obq6Otf658zLL7+MdevW4dChQwCAmpoanHPOOeju7gYAUErx9NNP49VXX8Xg4CBaW1uxZMkS1NbWZix306ZNePjhh7Fnzx7Y7XaceeaZOP300wte/2xtCIVCeOKJJ/D+++/jwIED0Ov1mDZtGi644AK4XK60ZZZbP9x111144403FNe0trbil7/8ZcZyy6UfgIkxH5JZvXo1nnjiCXzxi1/EkiVLAEyMOZFMcjsmyrxIRK0vJsK8mKy88soreOGFF+Dz+VBTU4PvfOc76OjoKHW1cvptzmXcBINBPPLII3jzzTcRCAQwffp0LF26FE6ns6j1f+qpp/DMM88ojlmtVvzud78DkNv7p1R1j7Js2bLY70AiXV1dWL58eVk+/02bNuHFF1/E9u3b0dvbi0suuQSLFi2KfV+o5z44OIgHH3wQf/3rXwEAc+bMwXe/+10Yjcai1T/X9/0111yDTZs2KcpdsGABfvjDHxa9/tnaABRu3payDbnIQaXsh1zen6WeC1kVtE2bNuH0009Hc3MzAODJJ5/EL37xC9x2220wmUwAgHvvvVdxzbZt23DTTTdhwYIF2YrHrbfeGisHACwWS9ZrxoLT6cQFF1yAqqoqSJKEN954A7fccgtuvPFG1NfX4/nnn8cf/vAHXHLJJfB6vXjmmWdw/fXX4/bbb4der1ct8+DBg7jhhhtwyimn4NJLL8XmzZtx//33w2KxYP78+ePaBrfbjR07duDss89GQ0MDhoeHsWrVKvzyl7/Er3/9a/A8n7HscukHAJgxYwYuvfTS2DWCkHmYllM/1NfXT4j5kMjWrVvx6quvxp5/lIkwJ7K1IxAITIh5ESVdXwDlPy8mI2+99RYeeughLFmyBFOmTMHatWvxq1/9CrfddltGBX88yOW3Gcg+bh566CH89a9/xeWXXw6TyYRVq1bhxhtvxE033QSOK66TjdfrRWKcssT75fL+KWXdAeCGG26AJEmxz729vbjyyitx/PHHx46V2/P3+/2ora3FySefjDvvvDPl+0I999/+9rfo6enBVVddBUII7r77btxxxx1HnT8qU/3zed8vWrQI559/fuyzRqNRlFWs+mdrQ5RCjJtStiFXOahU/ZDL+7Pkc4HmycjICF28eDF99913056zcuVKetlll2Us58MPP6Tnnnsu7evry7cKBeM73/kOXbt2LZUkiX7ve9+jzz77bOy70dFR+q1vfYuuXbs27fWPPPIIvfTSSxXHVq5cSa+66qqi1TmZaBvU+Oyzz+i5555Ld+3alfb6cs1eBGQAAAtaSURBVOoHSim988476Q033JDX9eXeD+U8H4aGhugPfvAD+sEHH9AVK1bQ++67j1JKJ9ycSNcONcp1XmRqw0SdFxOd5cuX05UrVyqOXXrppfTRRx8tUY3So/bbnG3cDA0N0fPOO4+uX78+duzQoUN08eLF9O9//3tR6/vkk0/SK664QvW7XN4/pax7Op599ll60UUXUb/fTykt7+dPKaUXXngh/eMf/xj7XKjnHn3Hfvzxx7FzPv74Y3ruuefSvXv3Fq3+aqi973P9jSh2/SlVb0Mhxk2p25CMmhxUTv2Q/P4sh7mQ9/LMyMgIKKWKFbrk79966y184QtfyKm85cuX4+KLL8Z1112HDz/8MN/qjAlJkvDmm2/C7/ejvb0dBw8ehM/nw8yZM2PnaDQadHR0YMuWLWnL+eSTTxTXAMCsWbOwfft2hEKhotUfSG2DGsPDwwCQkym4HPohyubNm7F06VJcfvnluPvuu9HX15exnHLuh3KfD/fccw/mzZuH6dOnK45PtDmRrh1qlOu8yNaGiTQvJgOhUAjbt2/HrFmzFMdnzpyZcQ6UinS/zZnGzfbt2xEOhxVtdLlcqK6uxtatW4te5wMHDuD73/8+li1bhttvvx0HDhwAkNv7p9R1T4ZSitdeew0nnngitFpt7Hg5P/9kCvXct27dCp1Op/hNbG9vh1arHfe5k+59/9Zbb2HJkiW44oorsGrVKoyMjMS+K4f6H+24KYc2RMkkB5VLPyS/P8thLmR1cUzmwQcfRENDA9ra2lS/f/PNNxEMBhW+qGrY7XYsXboULS0tCIVCWL9+PX7xi19gxYoVmDp1ar7Vyondu3fj6quvRjAYhE6nw09+8hPU1dXFHpLNZlOcb7Va0dvbm7Y8n8+HGTNmpFwTDocxMDAAu90+bm1IJhQK4ZFHHsHs2bMz+rKXUz8AQGdnJ+bNmwePx4ODBw/iySefxHXXXYcbb7wRoiiqllfO/VDO82HdunXYv3+/wo0iis/nAzAx5kSmdiRTrvMiWxsmyryYTPT390OSJFitVsVxm82GDz74oES1So/ab3O2cePz+cBxHMxms6Isq9UaewcUi9bWVlxyySWorq5GX18fVq9ejZ/97Ge49dZbc3r/lLLuamzcuBEHDx5UCKHl/PzVKNRz9/l8sFgsIITEvieEjHu70r3vTzjhBLhcLjgcDnz22Wd47LHHsGvXLvznf/5nWdS/EOOm1G1IJJ0cVE79kPz+LIe5kJeC9vDDD2PLli247rrr0vpGv/rqq5g7d27WvRperxderzf2ua2tDYcOHcKLL75YNIHU6/XilltuwdDQEN5++23cddddWLFiRVHuldgZhSRdGxKVg3A4jN/+9rcYGhrCT3/606zllUs/1NXVYeHChbHz6urq0NTUhGXLluG9997DvHnz8r5XKfsBKN/5sG/fPjz++OO47rrrsu5lKhTF6It82lGu8yKXNkyUeTEZSX5WlNKye37pfpsLPW4KSVdXl+JzW1sbfvCDH+CNN95Aa2triWo1dl599VU0NzejoaEhdqycn3+xUZsj4zl3Mr3vTz311NjfdXV1qKiowFVXXYXt27fHkg+Xsv6FGjel7oMo6eSgcumHXHSbo2Gsbci5Jg899BDefPNN/PznP0dFRYXqOTt37sS2bdsUDz0fWlpasH///jFdmwuCIKCyshLNzc04//zz0dDQgDVr1sQ05GRttq+vL2X1NBGbzaZ6Dc/zaV1Aj5Z0bYgSDofxm9/8Brt378bPf/7zFM0+F0rVD2o4HA44HA58/vnnacsrx34Ayns+bN26FQMDA/jxj3+M8847D+eddx42bdqEtWvX4rzzzouNm3KfE9naEQwGAZT3vMi1DYmU67yYTFgsFnAcl/ccGG9y+W2OkjxubDYbJEnCwMCA4ry+vr6UleNio9PpUFtbi88//zyn3+RyqntfXx/efffdrK7s5fz8o/UBjv6522w29PX1gVIa+55Siv7+/nGZO/m+75uamsBxXOz9Xur6JzOWcVMubchHDipFP6R7f5bDXMhJQXvwwQdjDcgUYnrdunVwu90pbjW5snPnznF9KUmShGAwCI/HA5vNho0bN8a+CwQC2Lx5c9r9XYDsopHs6rJx40Y0NTWNm1Ui2gZANuffdttt2LVrF1asWDHmZ1mqflCjv78fR44cyeiOVW79EKWc58PcuXPx61//GjfffHPsX3NzMxYsWICbb74ZVVVVE2JOZGuHIAhlPy9yaUMyE2VeTGQEQUBTU5NiDgDABx98kHEOjCe5/jZHSR43TU1N4Hle0cbDhw9j7969abcxFItAIIC9e/fCbrfn9JtcTnX/4x//CFEUFZYPNcr5+QMo2HNva2uD3+9X7KPbunUrRkdHiz53xvK+3717NyRJip1byvqrMZZxUy5tyEcOGu9+yPT+LIe5wF+TGONWhfvuuw/r16/HFVdcAZfLBb/fD7/fD0AZ9nN0dBR33XUXzjjjDFUXoDvvvBPvvPMOjjvuOADAmjVrYv6bPp8Pa9aswWuvvYZvf/vbqKmpyVjpsfDoo49CFEVQSnH48GGsWbMGGzZsiIVLD4fD+P3vfw+v1wtJkrBq1Sr4fD5cfPHFsT0eyW2orKzE888/j/7+frhcLrz77rtYvXp1Sdrg8Xhw66234tNPP8WPf/xjGAyGWF9xHBcLL1vO/WC32/HYY49Br9cjHA5j586duPvuuyFJEpYsWTIh+qGqqgpA+c8HjUYDq9Wq+Ldhwwa43W6ccsopIIRMiDmRrR2SJJX9vMjWhtHR0QkxLyYjer0eTz31FOx2OzQaDZ599lls2rQJl1xySUFyCR0N2X6b/X5/1nEjiiJ6e3vx8ssvo76+HsPDw/jd734HvV6PCy+8sKiuUKtWrYq9R/ft24cHHngA+/fvx8UXXwyj0Zj1/VPKuidCKcXKlSvR3d2tCK9frs/f7/djz5498Pl8eO2111BXVweDwYBQKFSw526xWPDJJ59gw4YNaGxsxOHDh3HvvfeipaUFZ5xxRtHqr9Vqs77v9+/fj5dffhlarRahUAhbtmzBvffeC5fLhfPOO6/o9c/WBo7jCjJuStkGg8EAILMcVOp+yPb+zEUGKnY/ZF1GXbt2LQDguuuuUxz/+te/rkhE99Zbb2F0dDRtMISenh7F5+jmzSNHjkCj0aC2thZXXnllLNlvofH5fLjjjjvg8/lgMBhQX1+P5cuXo7OzEwBw1llnIRAI4P7778fQ0BBaWlpw9dVXK/I9JbfB4/Fg+fLlePjhh7F27VrY7Xb867/+a9FyDGVqw8GDB2NJ8JJzKyQmECznfggEAvjss8+wfv16DA0NwW63Y9q0afjRj340YfohSrnPh1yYCHMiG4cPH54Q8yITHMdNiHkxGVmwYAEGBgawevVq9Pb2ora2FsuXL4fb7S511bL+Nuc6bi666CLwPI/bb789lmh12bJlRc8jduTIEfzmN79Bf38/LBZLLBFv9Nnm8v4pVd0T+eijj7B//35cdtlliuPl+vy3bduGa6+9Nvb5qaeewlNPPYWTTz4Zy5YtK9hzv+yyy/DAAw/EkivPnj0bS5YsKWr9zz333Kzve0EQ8MEHH+Cll16C3++H0+lEd3c3zj333HGpf7Y2fO973yvYuClVG5YtWwYgsxxU6n7IRbcp9VwgNNExksFgMBgMBoPBYDAYJWP8lpkYDAaDwWAwGAwGg5ERpqAxGAwGg8FgMBgMRpnAFDQGg8FgMBgMBoPBKBOYgsZgMBgMBoPBYDAYZQJT0BgMBoPBYDAYDAajTGAKGoPBYDAYDAaDwWCUCUxBYzAYDAaDwWAwGIwygSloDAaDwWAwGAwGg1EmMAWNwWAwGAwGg8FgMMqE/w8ugi3gcEzysQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "varnames=['α', 'β', 'ϵ']\n", "az.plot_trace(trace_g, varnames)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ],\n", " [,\n", " ]],\n", " dtype=object)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(trace_g, varnames)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
meansdmc_errorhpd_2.5hpd_97.5n_effRhat
α12.7295674.1720580.0887705.03716020.9114772720.9908310.999754
β2.9049450.0833670.0015952.7420583.0677552796.1176030.999836
ϵ35.5417952.5699160.05067030.85513540.8469552666.8988360.999751
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "α 12.729567 4.172058 0.088770 5.037160 20.911477 2720.990831 0.999754\n", "β 2.904945 0.083367 0.001595 2.742058 3.067755 2796.117603 0.999836\n", "ϵ 35.541795 2.569916 0.050670 30.855135 40.846955 2666.898836 0.999751" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_g, varnames)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "plt.plot(x, y, 'b.');\n", "alpha_m = trace_g['α'].mean()\n", "beta_m = trace_g['β'].mean()\n", "plt.plot(x, alpha_m + beta_m * x, c='k', label='y = {:.2f} + {:.2f} * x'.format(alpha_m, beta_m))\n", "plt.xlabel('$x$', fontsize=16)\n", "plt.ylabel('$y$', fontsize=16, rotation=0)\n", "plt.legend(loc=2, fontsize=14)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████| 1000/1000 [00:01<00:00, 724.01it/s]\n" ] } ], "source": [ "ppc = pm.sample_posterior_predictive(trace_g, samples=1000, model=model_g)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "idx = np.argsort(x)\n", "x_ord = x[idx]" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'total 2018')" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "plt.plot(x, y, 'b.')\n", "plt.plot(x, alpha_m + beta_m * x, c='k', label='y = {:.2f} + {:.2f} * x'.format(alpha_m, beta_m))\n", "\n", "sig0 = pm.hpd(ppc['y_pred'], alpha=0.5)[idx]\n", "sig1 = pm.hpd(ppc['y_pred'], alpha=0.05)[idx]\n", "plt.fill_between(x_ord, sig0[:,0], sig0[:,1], color='gray', alpha=1)\n", "plt.fill_between(x_ord, sig1[:,0], sig1[:,1], color='gray', alpha=0.5)\n", "\n", "plt.xlabel('opening 2018', fontsize=16)\n", "plt.ylabel('total 2018', fontsize=16, rotation=90)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## standardize" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_st = ( x - x.mean() ) / x.std()\n", "y_st = ( y - y.mean() ) / y.std()\n", "\n", "_, ax = plt.subplots(1, 2, figsize=(12, 6))\n", "ax[0].plot(x_st, y_st, 'C0.')\n", "ax[0].set_xlabel('opening 2018 (st)')\n", "ax[0].set_ylabel('total 2018 (st)', rotation=90)\n", "# ax[0].plot(x, y_real, 'k')\n", "az.plot_kde(y_st, ax=ax[1])\n", "ax[1].set_xlabel('total 2018')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [ϵ, β, α]\n", "Sampling 2 chains: 100%|████████████████████████████████████████████████████████| 6000/6000 [03:02<00:00, 32.82draws/s]\n" ] } ], "source": [ "with pm.Model() as model_g_st:\n", " α = pm.Normal('α', mu=0, sd=10)\n", " β = pm.Normal('β', mu=0, sd=1)\n", " ϵ = pm.HalfCauchy('ϵ', 5)\n", "\n", " μ = pm.Deterministic('μ', α + β * x_st)\n", " y_pred = pm.Normal('y_pred', mu=μ, sd=ϵ, observed=y_st)\n", "\n", " trace_g_st = pm.sample(2000, tune=1000)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ],\n", " [,\n", " ]],\n", " dtype=object)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "varnames=['α', 'β', 'ϵ']\n", "az.plot_trace(trace_g_st, varnames)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ],\n", " [,\n", " ]],\n", " dtype=object)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(trace_g_st, varnames)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
meansdmc_errorhpd_2.5hpd_97.5n_effRhat
α-0.0003430.0293510.000388-0.0573510.0577446008.9109370.999751
β0.9581740.0299230.0003240.8989881.0149446398.8023900.999852
ϵ0.2889030.0211000.0002880.2476580.3287625667.1380430.999754
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "α -0.000343 0.029351 0.000388 -0.057351 0.057744 6008.910937 0.999751\n", "β 0.958174 0.029923 0.000324 0.898988 1.014944 6398.802390 0.999852\n", "ϵ 0.288903 0.021100 0.000288 0.247658 0.328762 5667.138043 0.999754" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_g_st, varnames)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "plt.plot(x_st, y_st, 'b.');\n", "alpha_m_st = trace_g_st['α'].mean()\n", "beta_m_st = trace_g_st['β'].mean()\n", "plt.plot(x_st, alpha_m_st + beta_m_st * x_st, c='k', label='y_st = {:.2f} + {:.2f} * x_st'.format(alpha_m_st, beta_m_st))\n", "plt.xlabel('$x$', fontsize=16)\n", "plt.ylabel('$y$', fontsize=16, rotation=0)\n", "plt.legend(loc=2, fontsize=14)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([599.45059209, 760.9561736 , 543.4367262 , 442.91795765,\n", " 210.49087119, 377.62044197, 209.61897841, 191.24452255,\n", " 233.51195557, 161.73722425, 138.09445298, 258.47479038,\n", " 246.39763982, 176.74840289, 116.21593739, 159.25042738,\n", " 90.54277561, 81.88083301, 141.48199626, 193.93144759,\n", " 234.69898504, 145.32712614, 134.3226809 , 134.77700807,\n", " 76.46077653, 115.02352577, 169.700999 , 116.8287768 ,\n", " 86.19526785, 64.44196249, 118.09581346, 117.34606287,\n", " 109.7209224 , 125.48627101, 84.96053855, 14.59623046,\n", " 63.2805185 , 80.49618955, 15.19238987, 92.71034988,\n", " 64.05004325, 62.98014501, 53.05362483, 90.82661409,\n", " 85.88813477, 99.44887498, 55.72754109, 73.27760682,\n", " 95.20109927, 82.20038619, 83.74802509, 72.68644387,\n", " 57.0124148 , 60.09871753, 65.53417808, 85.09725254,\n", " 56.32719194, 68.7863471 , 45.11698989, 60.15244907,\n", " 36.19423372, 62.53962698, 64.7924224 , 59.49130085,\n", " 59.52841909, 57.76264388, 60.0824087 , 53.03315471,\n", " 63.45970967, 44.41941071, 57.86899051, 49.51311384,\n", " 67.80123211, 45.57119816, 47.7585147 , 32.48708506,\n", " 53.39934927, 50.07272629, 53.42652967, 43.68788575,\n", " 52.59261639, 14.89196128, 51.39500822, 48.7641839 ,\n", " 45.77309525, 18.36565946, 53.52015461, 47.31424135,\n", " 40.33320371, 57.69164366, 35.1594209 , 46.64387158,\n", " 14.43304364, 13.73328956, 43.85804095, 15.1518614 ,\n", " 20.48161039, 14.79440703, 40.65786065, 43.83217998])" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean((y_hat, y_hat_dst), axis=0)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.03168624102777339" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_hat = alpha_m + beta_m * x\n", "y_hat_dst = ((alpha_m_st + beta_m_st * x_st) * y.std()) + y.mean()\n", "\n", "# mean absolute percentage diff bt standardized, non-standardized models\n", "# not interested in identifying superior accuracy given ease of use of non-standardized model\n", "np.mean(np.abs(y_hat - y_hat_dst) / np.mean((y_hat, y_hat_dst), axis=0))" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "plt.plot(x, y, 'b.');\n", "\n", "alpha_m = trace_g['α'].mean()\n", "beta_m = trace_g['β'].mean()\n", "plt.plot(x, alpha_m + beta_m * x, c='k', label='y = {:.2f} + {:.2f} * x'.format(alpha_m, beta_m))\n", "plt.plot(x, y_hat_dst, label='y de-standardized')\n", "plt.xlabel('$x$', fontsize=16)\n", "plt.ylabel('$y$', fontsize=16, rotation=0)\n", "plt.legend(loc=2, fontsize=14)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## need more robust, Student-t approach, or polynomial approach to capture/weigh clustered mass" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [nu_, epsilon, beta, alpha]\n", "Sampling 2 chains: 100%|████████████████████████████████████████████████████████| 6000/6000 [09:09<00:00, 10.92draws/s]\n" ] } ], "source": [ "with pm.Model() as model_t:\n", " alpha = pm.Normal('alpha', mu=0, sd=10)\n", " beta = pm.Normal('beta', mu=0, sd=1)\n", " epsilon = pm.HalfCauchy('epsilon', 5)\n", " nu = pm.Deterministic('nu', pm.Exponential('nu_', 1/29) + 1)\n", " \n", " y_pred = pm.StudentT('y_pred', mu=alpha + beta * x, sd=epsilon, nu=nu, observed=y)\n", "\n", "# start = pm.find_MAP()\n", "# step = pm.NUTS(scaling=start) \n", " trace_t = pm.sample(2000, tune=1000)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ],\n", " [,\n", " ],\n", " [,\n", " ]],\n", " dtype=object)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAI4CAYAAAB3HEhGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzsvXeYJFd5qP+e6twTdnZmNufVrla7ykIRJAESSXAx4eLigjHYcAm2MYhkg0GYLMAEASYYk234mboXHsMFbMACS0JISKtVllabZnbyTk6du+r8/qjq7uru6p7umZ7p2d3zPs9uT1dXnfoqdX/f+ZKQUqJQKBQKhUKhUCgUiqWjNVsAhUKhUCgUCoVCoThTUAaWQqFQKBQKhUKhUDQIZWApFAqFQqFQKBQKRYNQBpZCoVAoFAqFQqFQNAhlYCkUCoVCoVAoFApFg1AGlkKhUCgUCoVCoVA0CGVgKRSrCCFErxDiA8u9jUKhUCgU9aB+nxSK2lEGlkKhUCgUCoVCoVA0CGVgKRQKhUKhUCgUCkWDUAaWQrGCCCGeK4T4byHEpBBiRghxhxDiyirr9wohPi6E+IYQYlYIMS6E+JQQovTZDQohvuCMe0oI8RkhhG+x+1UoFArF2YX6fVIoGocysBSKlaUV+DJwNfB04Cjwn0KIrirb/DUwBFwBvAN4K3CzxzrDwFXA25zPX7vE/SoUCoXi7EH9PikUDUJIKZstg0Jx1uLM9E0Ab5VSfl8I0Qt8Q0r5MefzXqBfSnmda5tPAK+VUm51rfOIlPKPXOv8JzAlpXxVLftdjmNTKBQKxemL+n1SKBaP8mApFCuIEGKXEOJfhBDHhBCzwCywBthRZbN7St7fDWwRQrS7lj1Uss4gsGGJ+1UoFArFWYL6fVIoGoe/2QIoFGcZPwPGgb8C+oE08DsgWMcYwmNZuuS9pHgCpRH7VSgUCsWZi/p9UigahDKwFIoVwoknPwC8UEr5S2fZVmD9ApteXfL+GmBISjm7zPtVKBQKxVmA+n1SKBqLMrAUipVjChgD3iiEOA50AZ8GEgtsd4kQ4kPAD4DLgbcDH1qB/SoUCoXi7ED9PikUDUTlYCkUK4SU0gL+GDgHeAT4DnAbdnWlanwJOxb9IPCPwFeBz6/AfhUKhUJxFqB+nxSKxqKqCCoUq5jSqk0KhUKhUKwG1O+TQlEZ5cFSKBQKhUKhUCgUigahDCyFQqFQKBQKhUKhaBAqRFChUCgUCoVCoVAoGoTyYCkUCoVCoVAoFApFgziTy7Qr15xCoVCc3ng1LT3dUb9NCoVCcXqz4G/TmWxgMTQ01GwRFAqFQrEINm/e3GwRlo2l/jZ1d3czPj7eIGmWDyVnY1FyNhYlZ2M5HeRshIy1/japEEGFQqFQKBQKhUKhaBDKwFIoFAqFQqFQKBSKBnFGhwgqFKudRMbixFSS3qkUPVNJZmdjpGMxUsk0gWyakJkigknEBy2RIF2tIbo72+ncsZV17VHawz40cSamqSgUCoWiFDk5jjz6OOJpz0D4lQqnUKxW1NOpUKwwlpQ8OBTjl8emOTQUI2PZOe+t2QRdyWmCVoaglSXpDzIdCJMUARKmn1gijJnywQRw1M7h8GOxPizYsa6NnR1hzu0Oc2B9lLBfOacVikah6/o24HvARsACvm4Yxhd0Xe8EfgjsBHoB3TCMqWbJqTgLGOy1X9NJ8Lc2VRSFQlEZZWApFCvIIyMxvvnAKL3TKdb6Jc+bO8zFx+9hV2KUzr3noF3wNMSe/bBpK8IfKNrWTKeYOTXGxMAI432DjI9NMj6fZjjcSe/MVu4NdSAR+DXY1x3hqq1tPHNXOx1h9ZgrFEskC7zLMIxDuq63AQ/ouv5r4M+A2w3D+KSu6+8F3gv8bRPlVJzp5HqXCjWJplCsZpTmpVCsALG0yTcfGOX2EzOsDwvePnMPT3/opwTWrEE85yWIp9+IaGuvOoYvGKJz21Y6t21l7zWXAyCTceRD9yEP3k7y4KMcbt3KI7uu4mH/fr41muC7D45y+ZZWXrRvLRdtiCJUOKFCUTeGYQwDw87fc7quPwlsAV4CPMtZ7bvAf6MMLMVykjewmiuGorFkTAsJBH3KcD5TEFKesS05pCrTrlgN9E4lufXOQUZjGV4WHuOP/+tLBAN+xItfiXjmCxGBwMKD1ICMzSPv+Q3yv/8DTg3Sv+4cfvu0l/PfcgPTKYvz10d41UXdXLihpSH7UyiWE6cU7qpTI3Vd3wncCVwA9BmG0eH6bMowjLUe27wJeBOAYRhPS6fTS5LB7/eTzWaXNMZKoORsLH6/n/m7f4NMJwlfcR0iHGm2SJ6cTudztcj566fGAHjuvnVln60mOatxOsjZCBmDwSCc7X2wFIpm88DgPJ+6a5CoDz526uec98QdcOnVaH/6V4i2NQ3dl2hpRTznj5A3/A84/Ajbfv3vvPY//4H/1bKG2697HT+a3cEH/qufK7a08OYrNrKupTGGnUJxOqDregC4GthsGMYPdV1vATAMI1bHGK3Aj4CbDcOY1XW9pu0Mw/g68HXnrVxqH5bTod8MKDkbTXd3N3Ozs8h0ivmJSUQo1GyRPDmdzudqkXNubg6A8fFyvX01yVmN00HOleyDpQwshWKZuKNnhtvuGWZnyOTv7v4cndkY4vXvQFz9rGUN1ROaBgcuwXfgEmTPUYI//yE3/ecXubG9k1/c8GZ+OCJ4689O8CcXr+NF567Fp606J4FC0VB0Xb8Q+CmQArZiF6Z4JvA64JU1jhHANq6+bxjGj53Fp3Rd32QYxrCu65uA0YYLr1C4kVazJVAoFDWggj0VimXgnr45brtnmAP+GB/5rw/TubYN7e+/hHbNs1c0D0rs2ovvrR9Ae/9nCa7fwEv//Va+0POvnN9q8c0HRrnl9j7G45kVk0ehaBJfBT5oGMZ5QO6GvwO4tpaNdV0XwDeBJw3D+Jzro59iG2k4rz9pjLgKRQXO3LSOM4JY2sS01DVSKANLoWg4h4bm+czdg5xrTfO+39xK9KJL0f7mk4iu8tjqlULs3GvL8MZ3s35qkL/797/lbdoRjk8kufnnPfxhYK5psikUK8D5wL86f0vIhwbWmsTyDOBPgRt0XX/I+fdC4JPAc3VdPwo813mvUCwfysBqCJOJLI8OzTZ83AeGYjw2Gq9rG2WQnZmoEEGFooE8MRrn1jsH2Zae4v33fp7o81+KeMmr7bC9JiOEQFx5PfLiK5E/+i7P+s03OHfb+XzuotfxiTsGefmBTl5z8ToVMqg4E+kFngYczC3Qdf1K4FgtGxuG8TsqJzXfuFThFIpaKdhXSilfCo+ditPW5mNDJ2gNiirJFY2bSZp1bXdsMln0fjKRZW3Yp6r+nuY0X+tTKM4QTs2n+cQdA6xLTfPBP3yR1lf+OdrLXrMqjCs3IhRGe/Wb0d75UTbHRrn1P97P80KT/PiJST5+xwCxdH0/DgrFacAtwM91Xf8wENR1/X3A/wE+0FyxFLUi0ynkod8j4zXXJFEoFmQ1OATdv7ljsQyPnYozOLu0SqOK5rO6ND+F4jQlnjH52G/7kckE7zv0dTpe80a0Z93UbLGqIvZfjPahLxG87Cre8stP8ubkwzw0HOPd/3mS4Tn15a44czAM42fATcA67NyrHcDLDcP4VVMFU9TO1AQyk4FR1X4FWB2WgaIhuD1oadO+rslsc6+vHDyJfOqxpspwuqNCBBWKJWJJyefvGmBgJsUtj/8LW//0zxGX15Q733REJApveg/s3MPzf/Q9tu0+xqd2v4K//eVJbnn2VvZ2rc4+KwpFvRiGcQj4y2bLsRqQ6RQ8+gDs3IPoWt9scWqjyQaFzGYgPo9oL2tztuqQPUchGUfsv3hp4/T3QDiCWLexQZKtPiwJvgaNdSaZvHKgF1iFjQhPI5SBpVAskX97eJT7hhO84djPuFR/OeKypzdbpLoQQiCe/3Lktt0c+Od/4NbpL/ORy/+S9/+6j7+9bgtP29LabBEViiWh6/pHKn1mGMYHV1KWVUE6hcxmEMMDcLoYWDmalZfy1GPI+Vm44lqE1iiVfDEsrMZLx8u31DMlh/rscc5AA0sO9GJt3godHTTbjHCnPcszykw7u1EhggrFEjg0OIvx2CTPHjnIi2689LQzrtyIA5egvfcf2EycW+/+BzYHTT52xwC/O9n4SksKxQqzreTfFcC7gXOaKVQzkIN9MD2Re9dUWeojJ2tzlGGV+7U05KkhZGYVhZ4nE2SH+0+rJ+B0I5m1sM7iUFblwVIoFsl4LM3n/7uXbbEJ3nx+K77rnttskZaM2LAZ7b2fYu1tH+Kjt3+Uj9/4d3z27iEsCdfvbG+2eArFojAM489Ll+m6/gLgVU0Qp6nIgR7Xm9NI+Wm6qLLopdkcnUwyK00uPw0iDGQygew9ipg4BQcuXfw4E6PQexQuvWZJxaOk675v5COQG0uaWeTJY7Btd01yNqqK4WrCkpL7BuZZF/Wzf3202eI0BeXBUigWQdaSfOZnj5I2Je/pHCXygpc2W6SGITq60P7mVqLbd/CBX32U88JpPv/7If67Z6bZoikUjeRXwJnz4C6G08nAytFsXXQJ5yyZtbizd5bZZHbJYgzHssQzVk3rSimRAz3N8yDlzlmm+LjlyCByZqr2cU4eR2azYC7x/C33fT8+ihwZhKnxmlZfqn01ncjy8EisyHBsNjlRxuJZjown8p4smckgk4kmSrZy1OzB0nX9bcAPDMOo7Y5RKM5gfvCrB3ky28I7sofY9oozbxJcRFvRbv4wkS9+iA/8+qPc+rwP8oV7hgn6BE/frjxZitMLXdd3lyyKAq8G+psgzuph9ehjNdCcEEE5NQH+gIccNW6fjIMlEdEWphK2YTA8n6E9bKtf1h/uQGzcitixjNGqc9PIwT5EPAbnXrB8+6lEhUsmT9pt6MRVz1xBYSB3DQVieR4BKeu6Tb1WrcfoOjyeIG1K0qYk5F94QzkxCp3rlq3P1qGhedpChTzFkfkMXVE/XdEA8qF7wbKWfM37ZlKcnEpx3SqOrKnHg/UcoFfX9Z/puv5KXddDyyWUQrGaefihp/jxeJgb55/imX/6ijO2GaAIhdD++hbC23fyd7/+GOdGTD579zCPjKhcBMVpxzHgqPN6DLgXuA54XTOFaj6uUKlkAhmbr752KmUXemgGuSnxFf6+lUceQz7xoCv+q87tH74f+ejBomWlRyBHBhYvYE04ezSb3eNwlVj0LjFWkdNn0eTuJ6uGYzHHR5l76jAM9dM/k1qWHOv5tMXwXMb7Q6s2r+tC9E6lVsvdVJGaPViGYfyRrutdwP8Cbga+puv6j4DvGYZx53IJqFCsJmaGT3Hbg7NsttK88Y+vQwSCzRZpWRHhKNrb/57QZ2/hfb+5lVue9X4+cccgn3judnZ3hpstnkJRE4ZhnNHh8BnT4p7+ec7tCrOxrY7vJFlQduTD9wHVvQnykfsaMvu8KFaLNjV+CjZtXdSmpTbikkK6atxUWiYILfdm8ftbgNlklqG5DPu6vX4XVtkkZC5cDYl86F7k5dcsOFEqk3HwBxBF3szFY1oSn9aY85ITPZm1iATKv+oypmQqkWV9a4DeqSQD8RCXJ1P0ZFIN2X9tMq6ye2AFqOtHxzCMCcMwvmwYxjXAM7ErMf1W1/VeXdffr+v66s+2VCgWiZVK8qX/9yCz/gjvunYLkc7OZou0IohoK9o7Pkzb2jV84J7P0+qTfOi3/ZyaX0UVoRSKs5iEk4szPF9h1rgS9er3DZp9XhIeetodR8c5Or7MnvWcUt53fHn3U6McNa06MYq8/3eQjJORMJmqocS7lMQHBxmdq0/5fmgkzqnRSTLVcqqWwV0Uz5hMJurMyXLJYWayNd3X8uH74ZGD1depcfdZS3J33xw9h48jU8nFDeLCrwmkmSXRc8I2qEs4MpHg8HiCWNpkzvmuSFuFB2klcreabV7JJnx31V1FUNf1G4HXAC8BDgKfBvqAtwP/gR12oVCcUUgp+cUPf8H9LQd4/cYk5+zb2WyRVhTR2o72tg/S/Yl3c8uj3+K9B17Px+8Y5JPP20400MyeMAqFN7qu91ODumIYxvYVEGd5cWaH61aUGqhYyUwaRkcQWxp3OmUmA5NjiA2bqZqDdfI4Q6NR9nZf2LB9V5UrnUI+eC9i17mI9Ztq3855FeRdWI0Xzs2UU44/meDxRJC5tMa1FTwnpqP07xNzHD46AF2p+pW54QGYS8Kec4uX570X1Y93LJahPeQj5Pf2wpgWlPpnDw7ahnV9VW7L5UibFgJBwFfZFJCZdI2GQvXjTJsWMpVkaHCMndYsdO/zXG82aRcy6e6uvreQX2NuagIrMQqjLbBxS9HnqaxtXJjSWzRLQpXDbgjNNLDk6JDdfPuya1Z0v/UUufgMdnjgDPA94AOGYQy6Pr8XqKMcjEJx+tB7+2/4jtjLZb4Z/uiGK5stTlMQ3RvQ/vqDbP3M+3j34C/42Mab+Nzdw7zv+i0NC3VQKBrIa5otwOqngQr+iSPI6Qlo70C0NSjxvOcIcmocWtsqGiN5ozIRb8w+S7AkmEDA/RWXq4I2MQpVDKzxeIbxpJ9zw7aH5fik7a1Y8WgpAQlLgCZtZbrkYzkzRXxqGuiiP5c7U0O+1nQyS3vIt3CZcde1m0uZRQUQcpiW5MmxBNGA5ll6/uDgPOm5ANdF7ciJ0fkMh8cXWY3OXabdeb23384/rNVQS2Ut5tMmXVE7ZFBOjPFIzI/77JqpJGKoD23TtqIQOdvekXYIWYXEKQE8PBJHAhfsqnIos9PIrKDQotj5Pz4PCES0pcIBJJAig/AHsCTMJbMENEFLsPjayJkpxJq1lQWolWaqCBNj9usK97Krx4MVBl5mGMb9Xh8ahpHRdf3yxoilUKwekkcP89kTfloiWd72R5eclbHEOcSuvWhvfDeXfOVWXr9mM98YvJh/fXiM1126vtmiKRRFGIZxR7NlWA5SWYvRudSK9FiRlgnJBCJaQ/S/mQtPbKDRlivHnXWFgK3g96+0TI4kA4xlfVzbmvTctcxkkId+j9i51/G0FXhiNIHM2AaW6alIL7MHK5/s5d6fJKftyrlZSMSQPUcwTQGbuwrGUiqZ1xBlPFamqM8kszwyEmf7miA71y6cj5uwBLMpjaPDMfZ1h1mfLRRU6ZtJ0TtlhyTmvC2lZErOX890IbRO9hxBamsR22usxChL/qwn7NIyEZqPB4bmyVpw/c4A0rKQx55gLtmerwaZsuC+J4YBuLa9g1NWmE1tAYQQ9r2QzeITEipMTg7MLhyCLzMZ5JMPg78bCNCb8rNFSgQgH30AsHMqhRDI44eRqXZsVd42nDgVh3P2I5E8MmJPUFy3o42ZlEnezEw3Jk9rqU/twcF5Mqbkmu1tzROiTuoxsG4FiqaIdF1fC0QMwxgCMAzjcANlUyiajpyb5Vu/eJD+7kv5+6d3sTaqimeKS65GvOLPuOn/fJv+523lx0/Anq4wz1Dl2xWrGF3XL8EOYe/G9VNrGMYHmybUInhqPIE5I9jbZtHqzDYvpDfkZvuv2dZa7L3IFcbz6I9kWhJx7CmYGoOnPQPhr1VdaKAW43OkNU0qGSNWg8LsUlkLS1JcJKC/h/Gs/b5gllCcs5O2FX1zdJj+YCfb14SQwJHxBNLlVTsy4fK29BxBzrfAlp2espiW5MHhGOd2R2gv9fbkqxnKksUSHj8Em3eUD+jhsQHs6oi5Q5J2noomHc9VIg6OLisfPVhW2CSX95cyS+TwPCLJwVgI/D4EEEtbyKOP5j/NGVdAzbdP0WqmiTU0gK9WA4vS87HwPTRvCgJCEk7EoaUNTzswW8iBTMmChH0zGfoz4NNgQ6sT5Dg8YNceEcVTJTKbRfafgI1bEIEF9I3cpEYiBuEOLATH5yTj2Tn2ZjU6/baQAkBKuzx7+zYAYpZWeP5dh993apreoSkuzGp0+C1YoFGyHDwJ0kJsreJmY+nfCpV6vkkp65j0XlkLqx4D69+B11McBrgV+AZw1UIb67r+AuAL2P7TbxiG8cmSz88Dvg1cBrzfMIzP1LqtQrEcSMvi3n81+GX3tbx0i8Zlu9Y1W6RVg3juS9FOnuD1//VZel7wUb50zwi7OsJsbj+zqyoqTk90XX8T8Hns5sI3YecLPw/4STPlWgzxjEUoAGmzdsNicC6NjM0RTwbxnP+dK28ifnffHN0jM5wXorbqczkPQyN1GM0xLizTpQMX72Ah+2o+bXJoKMblW1qIBnzMJrPMpS22uL6rYqksfxiwPSpXbW0t5AClUrY3gGIVfCppMpH0s6e9IM9gStA/k2YinqUlqDEez9ohhA5jMZcXLjaHzE4hKhhYcymTeMaiZyrJxRtbkJPj0N7huW5ewTRNZGwe0fOU11pFZ820JCnTwu13shAwN4M2OUJ5EKFtUFlS5kPIcrefZpnIWr0cNRjDAhiZS7OuJVBX6LmFLbUlJQOzaba0BfFpwm6yfN+dFHkYS+V4/EGk2IhwneP7B+bZ0Bpge4dt5DwYD6EhubZGedxnMOs8G5m5OWQshWx3RXyUGgezU5BK2flz64s9omU4h+F27o32D2Ge08HxlJ9Of9prdQAGMwX133Sdj9iRw5DWSOduDiGKjJiMKTk2kWBPV4SATyAHeu3VFjKw6vA8H5tI0hHx0Z0Lv5ybRVoWYgFjryJNqsVfj7T7DMN41L3AeX/eQhvquu4Dvoz9w3YAeJWu6wdKVpsE3gZ8ZhHbKhQNZ/JXP+Mr4UvY7U/ymuv2NlucVYUQAvHatxLYvI13/f6L+IXkU3cNVgzvUCiazN8ALzAM42VAwnl9BVBn2b3m43eUzmwdBpY0s3YBguMVgkxKZ9GTCeRAL2PpelSEQg1yKSUHB+c5VaUS3Uwyy3yqPM9HWhby0YPI2anC7LmUIC3ilsB0FLXZmTnu7Z8ja5Z/56SyFqNORcWxmP06HrcNnIdG4vlcqBy/7y3MGz9c2ufP0QvdezkylWYo4yflWphzasUzVrEx5UFe1ayUV+ZaTybjyKOPQ8+RqmPmqxx65U65QgSlhCfG4hwcjHE4EaAv5UME7DwcYvOVIta4f3CeB4YK5yanlPuOPoZ88N6idTMnj3NwcJ5DQ/Ml+/d8W0TWgiMTSXqm6gtNSzpV8U7NZ+idStE/Y2+fSNpGhuw9iozN2ccyXPAsSuz7ndHhovHiExP0HC6uGGkh8p47zyOq4CnMLzvxlC2H+xqVGh4+x/BxrfP4yJzHaIX9uQ2s3BObtDT6UpULUKWsChe6JBRzMim56+Qc8ykTOT/LwKNPMBrLMDS3fFWEh+bSPDFqe3xlJmN7Wk8N2e9PDdnhjQ61fQuufgNrVNf1Pe4FzvuJGra9EjhmGMYJwzDSwL9hVyHMYxjGqJPfVfqDt+C2CkWjsY4f5ktHJclAhHc8/7yqlYXOVkQohPaX72NdZp639/yEk9Mpvn7wVLPFUii8WG8Yxl3O35au65phGP8BvLiZQi2GQj22ktCsdArpUhL/0G8bIM7K9kusgqJWouTN9PUVCjmUMGcK7uydZc7DOMpJaErb0KioGGIn8B8a9kg6TyeR8Rj0HCsYfpaFaVk8EAvx1KyFnJul78FHSU1OMp0syCFnbcXrsVNxDo8nyJgFz41Vojh6GXdQ8AzKkUHk1HjhfLs2z+VTpZc8n1Su+MXSJiccA1ATAnIGZIXrUabSexltyXiRB2sqYR/7WNbHyXQAmcnYBqS0FlQK7VBKWdhxiUEnJWT7jhPPWMxXOEG1OBTS01PIVO1GVkbmKmk67y3JTDLL/UMxRjK2oSEfOwRQZCS5ZSkq5T02AvPl9+9j49VlyjXr9jxEZ3zp5BZKgJLm3jLvtbWQ05PI2DxDMyWl3AtrV94XcDJd3LPLPtYFTn6JqjPpzCIcGo5x5wNHEbNTkM3UXbF00SZO7pqkHYOr9yjy8CP1jdEc+6ouA+tbwI90Xf8fuq4f0HX9xcD/xQ4RXIgtQL/r/YCzrBZq3lbX9Tfpun5Q1/XqzQoUiirI2Dw///HtPNi5jz+7pIvtHaqhbiXEuo1ob3oPlx2/m/9pHue/js9w9zJ0hlcolsiArus7nb+PAC/Rdf064LRt5pbMlqjWw31Yk+PIVAppWSTjiUIYYS7Er0wpKnid3JxKVNZIJrO2ApjrPSSPPmErPB5V1GuZlppOZsla0pVLlSvMYBUKAEgLyzmW6TSQdDwQyUSRoTk4myFrSZIjw8jYPDIVzxdtKD2inHH3xGhx9cF8itPJY0XH4N5eOO/MuRnw6IslU0lbWa+ghJoSMhJOTKVs55wsGHxPjSeI5fKbaogIkNMTWH+4A9KFW/lY0s+M6epzND1ZfhClMiFASjThrOTzVg//MDDPU2OJunTW8Xhh3lxmMshY8W+EnJ5ETo4WL+vvgScfpBKi5O7KnancrWw5Rj7zc8yaJXdikafJ9ZlHqGwpC+b8zc/C/Fzx/ZJvbJwbxDUpUJr/6BZ1/BQM97MQRUYiFOX+QcnjXZq7l0ogB/vKxnwqGWQgXeoBE/YjKWWl4oe1CVmB6YRHMZgqFf7lQG9tfemaFCJYTw7WJ7G9S58BtmEbPd8APlfDtl7fs7Uecc3bGobxdeDrdY6vUOSRUnLyX77N9zY8i6d1wAvP39BskVY94sAliBe9Ev3n/8zDz/sIX7lvhPPWRfLlaxWKVcCngf1AL/AR7MnBIHZY+mnJyekU29v98Ogh5LZzC6E9moDeo9A/jdy5B9OSFb1NMpuFRw9CKFK0vBbHjDz6ODJk5pW5fJW5Y09iCT+0nePknlQ3s3LVy9ZGfFy4oaXgtZKyyIMlckaiENx7Kk0668O2CQo/9cfnLGKTSbtcvJyEuaOIfXZbDdO07OMtYTyepc2VmFZJcfBUmKVAzk4Xr2dmob8H2tYUL3flsUR9kuPJAGOzadpMjZQl6BmOcdHGaJF3xZSSk7NZRNrH2iAUZQH39yB37EYOD9ln2PFOWhKGM36GM36uX+A43FgSSCXQcl/bvsrf32PxLDsqFFgpHd+0JPGMa2n/caQvQ1EC2LgT+dBZyE0SgHRy4LyQVhYZi6G1tCEp3LM5m/zUfIbp8SnbE+U6lNlkcWPhhRSfnW/fAAAgAElEQVTFnok4u7qiFT+Xjjcvb8Q5Rpp73PzfmgaYSI+w1rJ1XUaStCzmUuTL28+mbC/nnohFlGJvtgQYPFk85pRjYHudzcGTWOEkcuNaO8fJZY31pAJsskxkNoEIRSCTQYSAsRHMrhoqi1ZgOqvxWO9sPi9Sjo0QtwSPJCJsaC257/KVML08swkmBmZY19GFWLMWOTYCfSfgsmvyz9rgbJr2rMT+dlpZs6BmA8swDAv4B+dfvQxgG2U5tgJDK7CtQlEX6d/8nNs4QNgveNsNe87qkuz1IF78SvxHHuPt936Fdz3tZm67Z5gP37Bt4f4oCsUKYBjGd1x//4dTATdoGMZ85a1WJ0UqwlA/MhnHOvwwYBtJg7Npjvc7ypllMTiXzm/Vlw5wQaQk8T0eK+oPI0cGy3WZgV7kjkKGgBzqQ2bjdhn3/ELH6EjE7T/bwIrNI9dGYXYG0dGJHBtBnniK+TXrkOnWoqICubC1vAMrnSrM3rtC0iTuAh8l3y+aIGsWB0+KxDxyZAwpUkhmYcOlLpG9Fa6B2RS58gKFCXS73MVA2kc67OS+uLbpS2r2ujnlPRnPF+mYNYVjMNqj+ZCFbSXMW5rtdTx+DBHsgkAIaVms7TvKyWg3pAL0Sh/R2WRx2NHJE7DWGcnZbyXVXTieh0qT+bnFtdaVqBYiNpQSudsRSxY8frkFsiw1qNgQXyj87NhkisTAgH3f7tpTGAIKHkszS3Kg3PuTyFrFVSAXoO/BR9n5rMvy71NZSSzt8kBhG9yPJYoLPLkPYSiWQURCyFwYYxX3T6lnDsAc6ufBWCftIR+WZTE3PAJruzhlSXbhbXsUMdKPfddRHvaYm8Qws6AFKSsiM9ALGT/s2Q8490c6VdGDJSfGkMdOwK69CF/BxJDA0YkEc/EgUc0+/7NJ0zawTjxFxhSw+RJiabM4VBPb2wveIc5PJoKsGzyJjLYie4+CZRFPZQkH/fg1wfHJJHLWx9VBuHcwwTVdybJm1ctFPR4sdF3fB1wMFJmuhmF8a4FN7wf26rq+CxjEblj86hp3u5RtFYqakX0n+MHBIXq2Xs/7r99CR6Sux+OsRmg+tP/9LjZ/5O28fuS3fNV6Nv/v8BQv2d/ZbNEUCnRdvw34fq6Po5PPe9qGB+Zx8l+kJKfJcuKUR4iuEz42ZVZOes8hTx4j6S/23MvR4eJeWPEYZVqKO0xJgpybITs7CWPztufo/EthyA5FenBgDphDtrbnK4PJmSnkaAw6Ct8ZGQmTWY2N0kI6HqzS2h7V2ktJQDt5DGIaZiDLQ1ax0Hed9M4ROzHpZWDZ9KQCeY22hgA+AB6OVyi3Pee6VmaGkdEpLF8ctu+BVJJANgWTY/lV4mmTUr+BzKRtT97JY0gJ98wXXEPS8QxNZzVbZFHs7SiXdDFFIB3Der5wLIdjGji2c6rIW+OdMyQ8luW3GBuB9kKj26RlF0HACa2zzIJhKTMZ0jkvpUf+FDjGjasqZkbCXXMLpAFki0sD5LyuAOOxLGFMTFlimLjPZNnBVbaIembtfbX5LOZM59mIzcOaTmZTph0Sl07bMm3d4ByTBdNTnuO5QxolOLl8LjO9mofIAx/SLot/8gR0n18YO5cvN+r4PxIJpE9DRFrswjUDPQyJLnA8trL3KJa1nmn/JnriQXaFMo682AVdBLD7ysIyKO6H52Jkco7uB36P0Oz7/IGhGELT2NtVuK65oh59Uwn2LN75Vhc1a5C6rv8d8EHgYYr7YUns/KyKGIaR1XX9rcAvsatXfsswjMd1XX+L8/nXdF3fCBwE2rGTkG8GDhiGMeu1bc1HqFDUgEwlefj7/8ZPtr2MF+yIcuXWJTSzO0sRa7vQXv8OnvPFD/PAugv43kOCizdGa2pCqVAsMwL4ia7rMeAHwA8Mw/CqZ31aMpLxg5TEpQZD/RBwwmzMrF1NL1f8okYlas5Lj3GU0lzBAI8V8n8lpcg3KM2H5QkBoXBxsYZMCjnUD1t22GFHiSTi3PPzqumRZIDJrI+2tEkwp2WVHkNRLJZEIu2S47lFpglonHLKUtdrQAhH+38gFmJPOFMkQ5koRQvKPiwffPxUIVROwoypgcip5rmQSDuszGPEsmVeBt+cKXg0510xTchkkZlUsXFXA+4QRykLZlrC0shKE2Y9QuPSKR646zC7926vOnZVA+uE/ZjKrgvANLk/FnZiJZ0rOTwA2EUujv3+Poa0FsS23WXjTGU1OnwWadMq2lnOiMlxZ+8sOztKDOKJ8cLfQ32k13YjOrsBODyeyJcqL5Lb403+rDn3csLSyMhChUv3yj7vIMNCrt0CFShzWI89WP2ez2aRwcJ42QprS8fIzJ0tsyRfbfbEceKRtURyHrER+7rIbbsgk8GaGQafPUZaCnu/Qyd5MtBB2tTISIG0LKx4oshjXZxg5n3MR5JB5gNZJi0/SRNwIk2PTuSKg8j891aj+ubVQj1T9DcDVxqGUWf5DhvDMH4B/KJk2ddcf49gh//VtK1C0Ujmfvgdvrj+BjaFJX9+tedtqKgBceHT0J7/Mv7iN1/hHdffwufuHuYzN+0gWCFhWqFYCQzDeLuu6+8AbgReBdyr6/oJbK9WLXnEqw4Zm0PO20rMWLaC0TPYR4xtRXkVKQvui4W5OJqi3bewstGf9qEBJ4YzPF06ypGnQPZYs6awPTaBkrwvM1tWMY3YnK30z9g5InfPh+HQca5z5rfSzqyzZcli5SoXQpRJI+PFY84mi63Dijk8UxMgLURn9f6G7nLWx5K5/BAPT4yZtcvgd1Tw2qdTSE2D0WGmLY2scx5PpiuoYbJE2U2nPEPnJLZXpy/tZ1eo3DLOlHpWTh6F0TRkFuhQkEmD285whTgy0IPsjyHD3YxlfaQTIm8oZt37m5sBKQnMOTlAFXKPcgax7DmC6FoPrR5N66dcRs7gyYL8jidr2tScAiyOJ8V1z49nfZzK+NkdypSVf/e6P3qni9eRAz3kD1BK26voGFiAZ4XHI8nyHLa8zeC6c2ZMLW+8ykwa0hkPuTyeUyk9i6CUrhmbmycpbVlqCYy075fCKPn738xNlOA51kPTkvaxGBeVntFUElLO+fGqhOm+p0eHMGOzuI8+Y8kqkzoFxrM+0pVMdSkZzvjtZ6ru6hyLpx6tJwFUaKKhUJy+WAfv5msTHUyH23nns3cR9itjYCmIl/4pa7Zt5a2Pf5+TMym+//D4whspFMuMYRiWYRi/Ngzj9cAF2C1GFpNT3HRkIpafuV+QwX5odSyW1jbbSwIMuRT7pGWHSU1kne8+1+x0byqQb0rqZVxZ0v4npWQo7St4BGami9aRTz6SnwXPky9oUbx43iyp/GfJfIggUGjgm4hjnXA5ImWxF0mW5v+4mRiFyfGyfI+acPbRkwoUemHlypXnzl3pbgdP2vtMJTmV8eevQ9zSiFuap2duMO0vMhTMsRFPcY4kA5zK+JnKlv92lS6xpiYXNq7A01sgB3rtsMNUyj48p8DHjFmQvygXyVkWqOJCKdJ3TRP/eHmKfX/aV5Qn6CX/ZOkkg/u8ue9baRXC2CogE8XtA6o5PSrlixUZtjnjJF+i0iWme/nJ43ZRjrKdeOwgHmMskSn72Cp5Rh+Kh0ha3s9Z8fC5/4u3L4QVO5MdzhjzplaUi5bjiZESz+josPNdIMpD/CQIxyMXM22vd+l3zPGJFH3pgL3yeKENTGmlxLQUrvNrIacmCtfG9YyvVg/WLcCXdF3/EFDU7MYpgKFQnHbIiVF++4s7ufucl/EnF3aytyuy8EaKqgi/H+2N7+ayj9zM8+ef5CdP7ufKLa2cv6FyJSaFYrnRdb0VeCm2B+tZwB3A65op02LJnLRLEycswSmv2d3y2DXnD4Hf0V/cisy8o+yfyvgY9/CGeRkp41mfo/jY+SJbhOB4KoBfFK+bsAQHYyH2hdNENElQLKzgpEtm0QVWQVkqSXSvVHm+sO0CeDXmrTR2DqfRaVoKnkoGuSjqSufTRC6izyPZqIYAxWwWmUoUNnZvUyEHJbdGv4c3TNRwvitx11yYCyJp2n1OyflkomI/rlzp/IwUlN5ByRIN0a3El519R9yxrI/1WZPH8wbb0nuC96X9the10oWdHLVzvrxFKl42NW572nw1qNGjw8hQiIG0nx3BbJFRls/xK5l8iFkF07hS3hyW5MFYkFQlr3KpzBWWxy1R5WYv5qmkfT0yUvDAUIxrSz5PVmhgXNFIkPYdcDIdgGD5ttmcXKXez6Hy0vJ5eo7ar36/Xc3T9YyvZMX2egys7ziv/9u1LPctuLD/TqFYZUjTZOTb/8Q/73gxBzp8/M8LqoeKKGpHdG9AvOYveO23vshD19/CbfcM84UX7SQaUF8VipVH1/X/A9wEHAL+P+B1hmGc9q7V3pTf0yAqU8TzPZJkXmGdMTVSFoRcLo6JCqGGAiAZL/I2xF0K4Jyp5T/Llih7MccbNZrxMWX66PB5GTTFWk+ZmuUOEYyXeBeK1rbIumar/xCrIf8zPg+d3mF96UrKmEthM2Vp4Y36igbkcRsu/b3l4wE9c1mCpqDF532+3NekfGtHrAXESJQoyJNZjbGstnDlPVFsFLs5VqVWZ1nREsgXlXg8sYR6bx7GbOm9CSUGXoUQRs+jmhizPXgba0wpSKVcRkZhxPGsZnu4Thb3c6oYilskmGTe45pXFEEKT0PnaDJQyBOrXBffc3Esdz9Kir3MJXgdT0aWVE30uGa+kkUTWc2+Z2rqVl3SFFoufP83knoMrF3LJoVC0QSyP/shX4hcjggGufmZO/DVWp9WURPaldcTffQB3nboW3zg0rfw7UOj/NVVm5otluLs5CDwLsMwqkx7nn6U5tdUpCScJsd9sXBRtbJKCLBn/qs4oYWVxUul6HO8KglH1mmvSoYVvE75xVIyWKH5cdHSkSHYXl7goCpjI6Tnp2FLuYpzNFWSRxNtKTPwLOCRuNsQyOWsmB7ejSrXq0L4n3sTa26GJ5MBLm8peMzcqVFeeDn41vpNpioY015GdsoS4DRezjFQKXesTkqr75lSFDXiXTwVTkqJpyhX/KQaFc0Gy4LB3trEscz8xci6rMpTGb/n8WqlxVrmZhFtJblpdRrxPaX3c26YWkq/DJz0XJyWgrAjhznYZzes9qCs2TO21yroNtxLbuSZ4RGQxQVHnqjD6A5Oj5PpWl+0zKyhN1+jqKcP1kkAXdc1YINhGMPLJpVCsczII4/z40dHeXLXZbzj6k1saF2pzghnF+LVb2b/R2/mJWP38+9cyVVb27h8ywrVSFUoHAzD+FSzZWgUsmhWdunzsQsZV1BQR6r5MLQKyl4u1KlUkS4WorgiWdwSPOounS0tBuI1eBeqhPvVgrQsSCUREduSLMuHD4bKDCyg2ItQTXdblF7nUrJTyUI+TW5ZlWEH0z47/Ktk/VJPzl1zYSJa5atbm9hea1UwiqVd1e9wMsD+sEe3hCXe1vLYkxCpMBsw2WDHda1FE8ZH838e7xst/szj2bFKz2d8HkoNrMXkD1ZiYhS5bmPd5/6xRJDdoQz4wJqfLfNILoScmqj42UOPn4Qd59Q3oHts8KzwuFLU7FvUdb1D1/UfAEngmLPsj3Rd/9hyCadQLAcyNs+RH3yfH+58LtdtjfLMnR4VixQNQUSiaG94J686/BO2W7P8473DzKYaMTupUJyl9J3I/xmrIzxoKeSc+9XCkbQFNLOct01z5wRNjHmuO15SrOGhaSDr/b1RZiAOLs5JKSfH4MRTMHgSmUqCEOVKrtd21T40S5P6F2E5LCDCybS/LKwvx4lUwC7hX4KXTZCodi8twjCUCxTSOJbyk5WCpPTabwMMhwpe28VQ9bJVODdrfBYa0slJLAyQtjxkq+W28BIilSxftliSCdsbV0ckTy6XbNb1DGYrpot5j5tJu+4Tz/y+xVvbVumYjTRIa6Ceb+evATPADgoNGu8BXtlooRSK5UJKSfx7X+W2LTexNuTjLVdvyff2UCwP4pzzCL7oj3n7oW8yl8zytfsqhMIoFIoFkS6l3SunpCqlOQk1knF0nGMepadz1JovU1vYTPFxVav8NVNqYC1wjPLYk7aHoxS3Z2O4H6QsN0Q8lM9UqXFTTR8sLVNfE+X7dBeNOJXxl+deRVsqjjZjLmQKl5OuYMBVpe94wSjwKM6Ru3c9qzyusrJpVc9XhQ81JFEtF3xXOH9e5dsXzez0wuvUgxBIfx3RPE4zZwm2h80exHPVWMV7aIG78eSJ6p9Xoez5PTWIOTHque5yUI+BdSPwNic0UAIYhjFGvqWXQrH6kXf9iu/Mr2M42s3N12+jNaSKLqwE4oV/zK6NHeh9t3N33xx39tbX5FKhUDSAtEc4Vg2UhqUthZC2sHqfKkscKvYCLDuOQVCm5/vKleMyL1fGdY6XGLIIeCZYLWjMRiuHYfemAp7FMCoxlPEvzlPqbhZbqfIgHucvt+0qoqJ3r1oFSrxz4/LHK4qXLkhsDulUr1w2KhT5qMipQaBycRw3Fe+5ZbzUXrllVqON0irUk6U4A3QD+dwrXde3u98rFKsZOdTHH351F7/a/xpetn8tF26oPMunaCzC50N7wzt52UfewcENF/FP92ucvz5CV7SBs3kKRRV0Xe8CXghsMgzj07qubwY0wzAWbCil6/q3gP8BjBqGcYGzrBP4IbAT6AV0wzCWWQNa2SpYy0EtOV9lBp1bWV9ByhRrTbONl/hiPFGNY0HPZTOiMryMjeTCYXqettQqM7AeXUQ1w2nT54QIVlihqHlVDQNKWbkQSgOxe4CtZC/Q1XWtG0k9Z/EbwI90XX82oOm6fg3wXezQQYViVSOTCcb/+Ut8ee/L2d3u508uVo7XlUZ0b8D/J2/mbQ99h3Q6yz/eO1KxSaNC0Uh0XX8m8BTwJ9g9HQH2Al+tcYjvAC8oWfZe4HbDMPYCtzvvFWcIFZP1VUh57dTgMT3uWdnuzPhd8PLOlYW0gh2SqlgxsrUWJlki9RhYnwIM4MtAAPgW8BPgC8sgl0LRMKSUmP/6Ff6x8zpSgQjvun4bgdLmCooVQbvqmWy5+AJed/SnHBqO8ctjK+euV5zV3Aa80jCMFwC5hJA/AFfWsrFhGHcCkyWLX4I9yYjz+tIGyLkglZLFz2xWXuGu1DB1hSo8V2WVpSjVTeV8HAc18dY0airZ3khWuPDESt5b9ZRpl9g/UrctnzgKReORd/6Snw9keWjvubzl8g1sXRNaeCPFsiFe/Rae/5G384e5Xr79gODijS1salNl8hXLyk7DMG53/s79wqapL0y+lHy7EsMwhnVdr+gW13X9TcCbnHXp7u5e9E4j0QgZqRGO1NBEt8loojFyilAYuYx9Cr3kjLQFCMvi3BJ/SwsWEsusXiGvkQhAOrK55ax24/paWzHnm3d/LHTdLSAsKlec87VEMVfg/m7U/VmNkAZVKuDXxErI6Waxe1q8nJVTBdr8krls4559TQg2rl/XsPGqUfOPi67rN1T6zDCM3zRGHIWisciTx+j56U/53qV/xRVbWnjB3o5mi3TWIyJR/G94J2/94ie5+cp384V7hvn4c7arRs+K5eQJXdefbxjGL13LngM8uhI7Nwzj68DXnbdyfHzxvXhi8QT+cIRkooElmpeJcCTcGDlNuegKiLXgJeecSJHceIFd8KK/x14Yi9nl4pt07ms+n7FY02SEBlz3ufkVkb9h92cVpCbLK03WiVvOa1uT/K6JxnM1vM7nGp/JjFdz8RrZEU4zlmzcBGwkEGIp378Amzdvrmm9ekIEv1ny76fAf2LnZikUqw4ZmyfxT5/ltv2vojUc4K+v3qRKsq8SxJ79rHvOC/jfh3/Ek2MJfvJkafSVQtFQ3gV8X9f17wIRXdf/CTuv6j1LGPOUruubAJzXlan/27ryffsCotkhWyu//6wUCJ8fAiXKXUfnisqxz6sRbz34alBuS4+x2YyfWvFdtizVzVSBRkakRTRrdaQAVmkDUMpSy2V0+ht7XXZX6D+9HNR87IZh7HL/A9YAHwf+cdmkUygWiZQS69u38a8dV9AXWcfbn76ZNeGlRAMpGo14kc4zW+NcPfkE3394jN6p1T8jrzg9MQzjXuBi4HHs/OEe4ErDMO5fwrA/BV7n/P067JzkZcfS6pgNrkW5roFMM/K+3JrkAk1rl4PJrId6FAyt+CRdYDG7c8tYpWR7Yf1F7OMMY3OwASX1F7vvQHmfMC/Oj6z8c+BJuHYP2lICU4KiSkbYop/DVZiDVYphGKau6x8HBoDPNU4khWLpyP/4vxzqn+HnF72CF+9by2Wba/iRUawowufD94Z38uZb/44n1+zi878f4jMv2KUKkCiWBcMwBoFPL2ZbXdf/P+BZQLeu6wPA3wOfBAxd198A9AF/3CBRq1Kt6W4ZW3fU0KhTsqIa9rqNtZWbbl8DM04RHNcx+4TEXAGDb7p7e9kyEVr50CxtmbyH6/wmaSmcqnZn53fuxqCkt3KLrhWhw2eyOWgylFlYHa+/RXR1LoykeDSxvDnptd5ZUc0q6pV1WTRFVJONN4dWY5GLCjyX07+gjeIMQz58PxO/+Alfuvo9bF8T5LWXrkxCo6J+xLqNdOiv5S/+/Yd88sI/44ePjvOaS9T1UiwdXdf/hRqmKw3DeG0N67yqwkc31ivXUrmuE+6vOYKqfsU5KCTp1VCpMFM+qx/SJGtDgpEVUIqTmm9VmB3RGhozV6S1reJHmpAFBbDWA/UwjsWe/chjTy5KvOVgTyiDpFL592La/c0LfW3zWcyZWl0envyq7R3QgIa5K1ExsNY9lPqLNeE4qSpdIk3keyms9ZtM5Zodd66DybEqe1qFBpau6/0USxbFLjbyl40WSqFYLHK4n8w3PsfnL3kjSX+Yj123haBvJZvmKepFu/pZXPXYA9wwcpAfcTlXbG1lX3ek2WIpTn+ONVuA5UDUqiAsMjyw028yUsNs+mLZ3OJjyK3/RKKQ8GhIa5WHbG1v8TG/bS9Mx2FomXsHVTnN6/wmPiGX7zyFQpCyi3oEBFzXluSReIDlK/NRoxrsLzFagqskd6ujE9rWQH8Pm4ImI5nGhMauBPWYOPmoOI+cuVIPkOfyEoOlYq+3BlKrBzbqk8y73DVhZ7vKkYCFD9b6rLyBJTq7kVUMrDVy+Z6iUur5dnhNyfsYcMQwjNkGyqNQLBoZm8f6x4/zwx038nhkM2+/ciPbVUn20wLx6rfw+o+9h0c6z+W2uwe57UW7CfmVYaxYPIZhfLjZMiwLtYa4bN1Z99A7ghm2BCsYWO1rYHam7jFL2dbqYyj3ZucehD/g7QEpMbA0Idm0fw/3TvsQ0daVm4f20PDOc3JhlsXA2rDZLiLQc7TmTbYGswykHVk2bnEp0TWq79XyWcIRSDouQ63kO3nLjppl9MIvJNlq3tLWdkjFPb2ZRWjCLuXvvK11EmJR/ptaQ1yxw1npWgfJNMwXq8pBx4BY41sgCCzaAtJ+FvJnf7GOJ80Hpj3W5S2pimXyc/JtD2U5liwxqju76ttljevtCWVIWXbI6u5Qpq4Uq5CQXNeW5N75UL7JYc5D6ObprUk6AgFitQ+9JOrpg3XHcgqiUCwFaZlY//wPPGS286NNz+A556zhht1rmi2WokZEtIXW17+Vv/76N/j7i9/EPx88xVuv3tRssRRnEE6rkVcBm4Eh4N9cvbFOH2ptzKlpYDkalK+gWJXintTetHMrvuGT3uOFIkCNBpbLA1O0uCTcTZR6RNy0tEF6Iv+2XbPAH0QTtWcl7Axl6K0hVKxh+DQwl5Y1sb4jypjpr8uA3BXKEhSSE6mALYM/aF/zljaIzy9JHqSE3fsgNo+IRPNyBYQk61u6gVk1py7aAmu7CmXyqeCpmZmCzopt6CpSTYkXyPIQumCwqGhIq2Yx7+E1ytHhs5jR/BDxlxlYa3wWu0JZwkJSsbzGlh0wVSgpLvKv5SZkpdTliCaJ525JIWDXXug5SsQr9LSzGybt/WlCentxfQGosw9cJe9a0bDCruQ4Y2q2IVj5rJTjHLtbXA37HnUX6MmdI2lZiNLJgmWgnhDBhsWzKxSNRv74e0wePc5t176P7W1h3nT5hmaLpKgTsecAF117Of/zsdv5ETdy3roIzzlH9S1TLB1d198JvBf4NvAgsB34ga7rnzYM47NNFa5eSjw7FXOmhEZeSdFETfqK6OgEt4G1bVdBuXUZdgsWmgiGywysveEM6/xm7WpTifIuAUJhhCgPJ9wcyJYVCbg46tp/RydMN64VhOjegMyVEm9tg/k5+7V7A/Q6kamd3XYo16khCIbK+3ht2QaD5WGO53WFGRstP0siWL3AhvtqiEAQdp0LgKzFwHJ7qcqQtjLaVtweYPelF3BkdmnGZFYK/O4Qsi3bYbCv6jaXRNP8vqQP1PqAhTsoTCKWfM3bfZIZ0+Me99v32fmRNG0+i3sr9KRa5zfZFcpwnwSxZi0ylSjzAOeMHD/eRsjGrjZGpgqTDHkDSxQbWD4hK3qKzg1nmDZNnkwsHM4pOtchHQNrSdlZ7u8NwF/PYJEokrmF11tKNU/TLPfGLgP17GEaeCngw64cqAEvcZYfd/1TKFYU6/e/Ifurn/C5p7+VtObnb67brMLLTlPEi17J/9L6uGjmBP903wgnJlXpdkVDeBdwg2EYf2sYxlcMw3gvcIOz/LRCliS3bw9luaa1/DmxZ2htNezKtgwXRMr7KUV37eaAq/SzcMIPo5pFl98srprn97M/kuZAJM0VLQvkMZh2oM6FrQUF3I+sOMvuTYm3y+dH+HxoHorV1mB5CFlEk7RpLg9evTibepZldytnjsJNOILwB9BaCoUlRNsa/Ofuz++/SM5whV5Cuf0Fg7bhk1t8zr7FlYgPFYfJr/XZxlt+pE3bYE2ViawK0+q+0CLD76scg4i0QJfLE+URDlt6D0U1i92h4usvsY3gIiQ/v6UAACAASURBVDz6l1XTEipV7BNC2IZ+he22BzPsDmU4L5Ih5NrBlnX1R9Sc2x2mcAFk/tSds6b4fq5WC8IvoDvXSyp3a+Xym8LR8r56G7ZAa/uiDKyr1phcFk3R1V6cQ72pxjL0QmB7CEuve8DDC116fSk/B+73QZchL7zGWwbq8e+eC7zIMIy7cgt0Xb8WuMUwjOc3XDKFogbkkw8jv/clvnf563iCDt5x5Ua2qryr0xbh8xF4wzu4+db38+6L/4JP3jnA527aRWvo9ElaVqxaSotenKAZHWyXgYVmiMMahDwadl66Log2XlgunFyPp7WkEd0buAtshTcaRYQirOvagXTNTFekbQ3EY3QGJF1+k4ls4fmtWXGTFHlW5Dn7AO++OmXLAkFESEOkc96u6nsVkSgkkoVVnbtic1uQ1qDGU6V3zqatMDrsPXY4BLHCDPy6aIAZH+yIpOnwWflcKSEEcv0m1zjFw4nt53DFllY4dBfVON8xnPNSlNzRoqMLOTuT96B1+i2mTPt6+IVEtLQis94hX7tCGQj76a0qgTebAlmGvXLUdu7J55dtCGSZzJZ8t4ddv9/SqqmRUj6gctsumH7S+6lubSvzaJWOfEk0xaxT2S9jkT9P5WO1I+KukL+udTBh+9CimmRdoPxZiwaLx6qtUmdhnevaCpMam6I+Rn0mM458lgQzHIW0RbuVZNasbDpetaUFbcweS1x8BZyYLgpfFG3tyJZWtN4KVQor5IC2+SxafGD5ikMLJbDOb/EUdtilEGCVHHuumbYA0DRk6T58fshkisM2XZMmOeOpeKtC+4l9YfvZAwhf/WxiM0vPJa2Fegysq4F7S5b9Abimlo11XX8B8AVsD9g3DMP4ZMnnwvn8hUAc+DPDMA45n/UCc9hBDlnDMC6vQ27FGYoc6MH66q38du+N/L+W/bx431qetUvlXZ3uiHUb6fzzv+A93/0ut1zyF3z6d4N88Nnb8C+lY6HibOdDwDd1Xf8QdgTGNuAW4O91Xc9rI4ZhrPq2I+LK6/E9PgCJocorRaKlW3mPVaqJStfh797H5VmLQ6KQykVb+fdrWaGCcCSfp+JW8/IFCOqwsLbu38PAI0+AaRJ2KtZ5fQ8ULdmyA/x+tF1r4YHfFe9UCLsIxPAAQN7400LeVUujAa3Qly9YUPxFOOoojmY+NC2oCTJASBMkXEesCcHlayzkrFVWVEC0dyBLDSzgaZtbSJuSSEDL98HxUms3BbJ0ehjOZXiEKAognPPwlVyU3DVt91msCVmeBla163hpm8n4rASX3dayZw8xUzihqwUZfCV5MkVYlpOPUx0BbF8TpD0chekKsybSIyevZLdtPkmb4+HrTy+0X0fV10RROGvpkUQDmn0/aII94Uy+aESlmZ294QxHc4UlhLBLss9MFK8kBGFNMuNEklqAtXUnwhT4eh6rKnXIp+E+3eta/HjV3Kv6nLa0w+QE+87bwZHDvUgEGwOFsFZZ8owKYR/XGp9FRJPcNVccVpkzfjYGTEbWdLAu3lu8v44uGBng2rYUv5sLIREEW1q4ojXJtKnR7nPOpuukBgX5YhZrfBbBXCHFFfJeQX0hgg8Cn9B1PQLgvH4ceGihDXVd9wFfBm4CDgCv0nX9QMlqNwF7nX9vAr5a8vmzDcO4RBlXCgA5OY71hY9wdO1uvrb5OVy0IcqfX1Z/kqtidSIuvJzzbrieNz/1f3l4JM7X7z9VPqulUNTOP2EXuHgKmAcOA38CfB1bDcxSpA6uXrzCxMQlVxeXbnaU2PVRX3GOy0Jju1YVQhAN+AgVtblw7dsx4i4qDT0MhhDO7HJFJW3LdljvKmLjEcK3OaIRDvhh+zlEz9nDOZ3FSpk75LFoN6EwIhBEaBoiF8aWEyQQRLhC+PaHMzy9NWkryeEqrSG27LBlLuG8SIa1zmnf165x/c529u/eYB9Pmx12V3+0uqAl6GNtpCQHreQyrg+YnBOqLfTKfSFyhUZafZJt270LCeWU5YhWodABxec82lK9rYbYsx8RCCF8/iJZBHB+JEOX3+TKlqRrqUMFA2t70M7nc6+9c22YTueceYtsFRkBpcfA5kVWRBQCf7hyflwkYt8gItLK5ojmHe5GQeaI5vIoC4FobSewZ3/Z+rtDWTbkQ+8Ea6P2fkIXXppfp/zZL38g93VH2B9Ol33U7rMK8xKl4bqhMGLPfto7Wml3jKOikEoh7GqLLjYGTO/CGhQ88BFN8oydawiXPDOhgMZm51hzIc1CCDRB0QRD7t7eGcpwTtgV+tzZnN6a9Tz6fwY8A5jRdf0Udjmha4HX1bDtlcAxwzBOGIaRBv4NO3/LzUuA7xmGIQ3DuBfo0HVdlRFTlCHjMawvfphJy8enLngtndEA77luCz7l4TijEDe9gudsCfHyvt/yy2PT/PTwVLNFUpy+7HL9213h/e6mSbdUNFFssDhfhed1hbmmNZXPGfILmVdMoZBzBdiGkUeeinQUp21rCgacaG1HOCW6gyVK064WQUfYx9r9+wmefxk7glkimkWHSxESkRZEuyvvZ8sOO/fDRcSZlRY+H90dLQVPkgdFBR6cYxUCaHU8bjkl3fHQnRtOc01rEiHsnB6ta4NL8c+9FnJeRCRqGwce5Lx7uZ+ftrYW9l1+EVfv6mRHR4ht9YasV7BKc2e51VHAg0IWr1qy2bld3kp/p8/ikmiKjQETbcc5zrbFquCGgMl1bUkCgmKvZpGYhR1eduX5+aIaOVEiLaVe1PLtBHZI3YFIhvCaNezuDHGgqzhE0GtCYUfIZItH3h2A2LiVtRs9FGp/sMy8yL+PtrCus9X7s1oIh+nyexQmWbP2/2fvvOPjusqE/ZypaqPerOJe4tiOY8dOnOI0ILSlLAsn1GWBJfRQlo8OCaEsBNglBDYQQt+w5LALS5YEQgsJkN4TJ7Hj2I57Ue+jKef7496RZjQz0kgaaST5fX4/2TO3nPvOuefee977thGF3uPzos44B5ocRX3s5Hs0xXw6yudHrUqySSiFT8GSpD5YUV3EWS1l+N2BWOtz4qHS8KWOY6/XS211OTS2pLS/OBAdUdCqm5On4qnXe6Y0+9YyYu3O5fVO4tpRSWMombMai1hR5PxWDzZrTOWG4mHW1hXTGog5YxegZQk0tTrtp1n2Z5bJpGnfB5yjtW7FSXN7xBgzfrqXUZqB5HQ5B4GzctimGTiCc45+p7W2wHeMMddnOojW+jIc6xfGmBxFE+YTNhohft2/Ejl2hK+88Cr6hxRXn99MucToLDiUUvCW9/P6L32EI+31/OAhqC3xce6S8ol3FoQkjDHPFVqG2cWZXaiiYkd5qW2AR+9zlC3gRG/ifpk0/WlZiscz6pI2loYyP4Rdq1GSYuZXcGrxME+6Wcpqg7C40Ung4KmootRr2VKaZOXKZIELBLHJk3wFtqKaRWV+wtF4xnqGKVnUMhS8VQDLV+OJtxNX7u+NOG+1fWr0rbla1DpicRuP8qCXnnD6JDqRTdGbJFFjyJFnSWUwRdaJJu2O8pRFwXL7vCUQZVdxI42LSuDAaHCYN1Sekgkw4wvHklKUGiLkHTPtTT4ndY1Q7YHDexJHzihPcuter5cLVlRxhxueFzj1dCq9ik13/4WHB5w+WFtfzAOHUisQJZRztWELFBXR4vFiVZJSEM8+PS8+42z4y0NpCU7UkhWUAecDdyS6p3mJY9XM9BtKQ9S0NOLz5FzCewRXlaelPJiS907VNjgKS0kpHHfOSSI5i/IH3Oigifs1ZXl1HdTUYdtPZLyGPEoRTArGLPPGU5JsjLSj0o+s1p6Geq6XRSE/R3ojI3IkanQtaqim/VCG2l8W+t3Mh+EkRWtZVRFdQzHsstVw8MkkIb2pWVCXrOSsNselUfkDqPp0m4oak4RDNbZAtCzje4igB4pL/an3MH8ANRLYOLsv4SdVxEBrXQNcCCwyxlyttW4CPMaYgxPsmulXTWy7HN3mXGPMYa11PfB7rfXTxpg7x27sKl7Xj9lXWCDYeAz7/a9jn36Mb//dlezs8/DR7YtYWjV++lph/qKCRfje9xku//In6AyW829/g2K/h81NZRPvLAguWusK4HJgE5AyeIwxlxREqLyisn5VbsHhTA9EhcK61p0Ry8+SFSnuhjZp22wTlJJkK1aKVWWCeKkU4k5xUG8RavEKbDCI16NYPsY1sK7UT9eQ424UUJbIilNRS8sJ3PkgrWqQhFqglALlJRQqpXsgzLriYXa4SmBGGWrq4NgR5+34UHoq+Gxzs1h1LQxF8GSYHE6G5kCUxRmsMqq8ErzeEZ22xGM5b22T46LpU1BeBUB9+3EGu3vYn6m2WHEJ9HZDVS30tKetTp50q4oq8CX//jE/vKEJfL5xlUVvWQg71E+Z147sXuJPV2JbXJc9VZKaUbHRH+VoxEdtWYClTaWED4V5fDApBm7xcgJBP+dXRrCxOKp8guK343i3qEUtqIAPcBMtFBVjhwYnVIaVcpo9v1ahKoOMRD4pwDrJQwBiNhGLl7Sz14u3sR46R20UieQNY497an0xTfWVDPclJ2bIr6KglOLcxSE8ihEFC5yXJ9tDQ3iqQ9C6FA7sg9IMz16V6sIaCnpZVVPEM+2p2U3VprOwD941+t3vH4mNynqOypKyclZU4WlejDo6gDcHZUn5/K7luTDqQM4uglrrC3D819+AExwMTrzU2FipTCSCihO0AGMjdLNuY4xJ/H8c+CWOy6FwEmHjceyPv4m9/y+YF/8/bu8r4XWn1XLOYrFmLHRUdS3Fl3+KT+68kdbB4/zrnYfYcTx9AiQI4/BznJeDfwJuGvM3/8hgsdlYP4XsqSVlqE1nwbJVlLkzHdXYgkpJle3858x/VOrCDExY80ZlmXb4AgRrap204UBxluClRaEA5y4OUeyxnF4SZm2dE/+z7cy1NG/dnLb9uvpi1taXpMRqDMVThSzxe1FFJY5yWVLqxOr4/Fg7sevWyroySltbKS4aJ3h+bNzN4nRv1DJP3Om7sbry2o2o1espcvvDowClnPic+iZUUTGqqBhP8xKWnrUV5SbjSJ6vqvJKp8BsMPvLyA3FwyMpu23y+V2zIVWeUIWTTn0cVEJpP/V0WLIy+3YZO3U06QG1DZQGvFT6LJtLwpwxUh7A3bHGTdW9bNW48uRE4ppyXduiVk3YrgoEYc1658vajRm3SRjhkpOzqGWrKV88Ot1VLUtHFBSFk3ylfIUzRmpL/JRnGVue5qVpyxrKnG1rMyU/SYo/HIvXo0bcMTPGeQaLR2LpEoy67ar0osxj969vGiksfl6GshLj2O4yZi4cq4+pUMWIBWwkRX9j85i95q4F6+vApcaYP2qtE8EQ95KbsnM/sEprvQw4BLwWeP2YbW4G3qu1/hmO+2C3MeaI1roUx0rW636+BLhqEnIL8xxrLfZn38X+7Y/88UXv4abBOp6/ooJL10/w1kpYMKjmxYTe+WE+c+2X+dQZ7+Fzt8MVF7eytm52faqFecs2oMYYMy8SWUyEp7oOjhwacXkDqCgdnfgUe6GhcgKFq3nJSEat85dXZd0sW0a2FHmSFvgXpcZyjEVV10J/evFbpRSeRc2ofseKU1eaXWHxehR2wxkURaMUu9uposS9oCdlW7/XQ11ZEIuTrnkXToKIZLYuruRwMMJDR/qhqhZPQzUq4k1K9MxIbMuIvKecBkUlVAd9VDdPYFFfugpVXDZSfFUFggS8ii3NZRw76GSWK82S0S/BmrpiIsctwYHsyq2T1MNRQmpK/CyvjtNYFmBv5xBHehk3UVD1udtR+5y+S8SvqNoGN26lJ2378XIX+n1eIriT3vb0famupabnWJYf4Tp0+XwpE/3SsW6NAEtWoBY1jyiVWckhQZIqKoGNW0F54cRRvMqivCMJ4CnxxFlfHmVn0Et3QqzqupFjVxT5aAeKlCX5Aom6GtZYl83KIt9IH6rmJXiOhqHTmVqfWhzBs2z8xAyesy7AE4tDWyzFNbQ04GV7KF2B2VIahtOWOcerb4JcClCPw/lLy7FDA5xeEuaRcDFVY2LQyty09AllWSUpq0qRXpcs24uXLDrR2Hp46tTTRz+vOMX529/raLgF8mebTJKLpcaYP7qfE+IOk4OSZoyJAu8FbgOechaZHVrrd2qt3+luditOXZLdwHeBd7vLG4C/aq0fBe4DbjHG/HYScgvzGGst9hc/xt5+C488/5+4LryE0xeV8q4zG6dWdFGYt6jV66n6p3dy5QP/QeVQF1f88QAPH+mfeEdBgL8C6am45ilKKUi2Iih3gugmjthapUbif3JtL9v9NOTGt3qUGk1VXpM++VMr1+JdtXbcQHJVVZNynNMaUrfNVEQ4a1slZamJMsbb1m233h/n/KXlqVa2QICAzzNSa08p5cSuuVQX+1hSGWTlmKQRqqJqNEvhRMf3+aEh1YVwW2sIn0exyB/j7LKhJAUicx/4PIq6wLibpNFSHpywvIXXM2qJ2L4kxJbmUoIJy0SG81Hid6aN4ylrgQkqSp+7KMjaomzvOlTKf8CI5SNtS48nSbEehyTr0Dirnbbc/kpkx0tQ44unZLcb21ZLeYCtW05x3CKT4oYSFqVsFlnlWsw8DU2OhWhS0xqFqq5FNbVOuGWxx1IacGuwLVuFWrdpgj0yc2p9MafUuteHz0/Iazl/SfloqnSXUNDL2a0h6sfUBPOcdQGesy5A1TY44y6RgCZHK2RKUhnPZFSY2WcyFqwntdYvNMbclrTs+cDjuexsjLkVR4lKXvbtpM8WeE+G/fYAmW2vwoLH3mKwv/0f9l34Gq5mHUsqA3x0e5PURDpJUWecS20sxhd+dC1XbXk3n7/d8qHzmjhXXEWF8fkn4Fat9b1AyqtzY8z89IgIVUBPV0pyBYpLoCdzgVDl9WJjidTWNtUNbBxOqS1mIBJ3JkNeP2w9z3EB25dUnDTx/1i3HaVQy9fA0CD28P7sb6kLhBqTvbCyyMtgdDQ9tcWi1OSU1awkJpIZMjVO6FaZxtSef5mU6HNaQynrS/zecZWnoE8xEBnfKODzZj7PpX4P/ZE4XqXIWmdXQaUvTgWWpVVuv7cshX3PpGwzFVJ2W7KC4Ckt8OzxibcNFqGsY/Ep8XvoJnHORntBKUVJZQV249YUpa+1IkhLeSCz290Z54yMi5HVZSEYyGD1yyRjAaZBtSWjyq7y+WHz2U7c4on0JBh+r8JW1cJgukv/+oYSSv0e1HEPNh5LfWGUTEryG89ITJtXKdSGLdhH78sqa9CniAxblJpAw54hJqNg/Qvwa631LUCx1vo7wMtIT7cuCHkhftsvsL+6kaNnv5TPFW+jTCk+fWFLxmBZ4eTBc+b5VCnF537wDb6w5V189S/QfkaUl62pEqumkI0v4MT47gOStfF5mwxJFZcQ9MSpS461CBY5k536xvQdiopHXPM2lw7TV5VbwU2vR41YsWA0viYZz5IVkF5Kx9m+rhEbjaK6Ohy3xJQkGGPamcHLV606NW0Sl0gAkuA0N/vhng7XxSqPo0N5PHjOPB+1vzc1D8jms7EP3Z20IH/HTDCeh1zme2Z2d8VQwEvnYIzAFE7WxkWljstcW++42/kUbAzFUe6zXjU0oRqaiN97R0LqSR87/SD+LEVnU9v2rV5LbChMfftTYJ106HX9XkrCWbIAZrCoJfexzwNR95JNtsyNRDeuXIfKUi9qNsm1h5WbECebxGr1uozLx69ZNkaQxHVbW0/c7TuPwklIMs6u6xtK6BqM4VdDBbnRTyZN+z1a69OANwLfx0mpfmYOGQQFYdLEf30T9lc30n7mC7ii6nlEY5arnt9KTUlukwJhYePZup2QUlzxvWv4+qa38L0H4WD3MJdtbRDrppCJ1wKrjTFHCi1IPlldFHHnwG5weiAIy1ajyjNZdEevixKPpbRkUkmEx6ehCQ70jaZDHntknw82nAGM71o2k0ym2GjCZS44xq1reXWQyqKp91vi1tRcnlRTzB+A07dhH7kn94Zm+kXSyClKP86SyiDVJX5CgQxWqrpGCKfG//g8jIwLn0elpUNXG7emtuF1n/GxDHWuPB6n+HBF9pjB8ZhKtxX7PGxqLcV2jsZSVQY9U56wb2kuG4nLyiibx4vKsexM1p8zNh36FFCLl8OBPRNvOHa/ieLh0nYYZ53HC7UNjivumeejlCLe62R79LgXk9q4FWKZIwIDXg/1ZR5sf4Yi1rNATncKrbUX+CPwQmPM1TMrknAyY63F/u+N2FsNXdteyBV1L6J/KMbnnreYxflw0xAWDGrLeRQHi/l/37man654Mb9gG0d6h/nweU1UTGMSJCxI9gALIsEFwIZFIU4EIlS2e7HRKIU2xCUm0KEcJobjGLAmFYM1kzSFAhT5PGmJNlrKp/cMUkqxfUkozWqkgkHw+dxzOU4fjMScZN+mKRQYiZOaNu5hFlcE2N/tpjFXivJgZjfCivratILQZ7dmylzn1r9qbE63+AQCzsS6ZVm6OFvOc1Kg5xh7s7Y2yNGuAVY0BPGVl6U4B6+ozpJRMUtmw3wR8HoIZLhMTqkr5kD38Eg2z+mgNm6FyDD2iYem3sailkkpWGrTNnh2x5SPl+ke5tl63mj77jVT6Vq+FpWNTW4zXtOFuT/mNAsxxsTcDIBzy4FaWFDYeBz73z/A/v5X9G5/KVdWv4D2vgiffV5rWoCxIACoDWfg+8gXeeM3Pkdz7xG+rV7JB2/dx4fPa+LUeskwKIzwE+BmrfW1pMdg/akwIk2dxvIifMOBwvs31jag/J34vYrTG0sozTRzHEOqu1TqzLWm2MehnuGxu+SfhCUkC16PGjeL4XSYlhtzDopFXp6VNtVFcGlV0YiCNR6nL0qPo5ns71VKoZIm1mltTaK9ugDUFkdQfg/KN1pEW61cS0tFcOT6SY1HdNovct30GssCwBhrWsJlbYJ09ZOhxO9lTW3x+BuNUx86ZXkgCIFg4e8PuVBcCpGunM9rkc/D+UsnGXM9kpynfvzt8sxkXvN+FrhOa30FTs2qkXNnjBkvY6cgTIiNRrA//Ab23jsYuOgVXFV1MUe6hvn0RS2SilsYF7V4BZ5PfIWLvnEVSx64lq9tfQef/MN+3rSxjleeWj1n3ooLBSWRQOmLY5ZbIL0o0UImD+5DCVRlNWrpUgDKp2A1TlbISvyekbfT5Tm6SE0VdcY5hTb6pZNLKvFE/JvNz/kbR5iZbT7gKoG5WB/ywRQsGH7FyETeDqUqWKqiCjacgSopbMH7XJ5syh/ARnJ/adFSHuBgz7BTL3kywvj8eIpKoGHxZPaCVaei+vuyZorMByoQHE3OM4tM5o54g/v/P5Jae88CknVAmDJ2cID4df8KTz1K78vfzFW+zezrDPOJC1rY2Ji/N0TCwkVV1+H52JdZ8eNvcfUdX+A/znw7P3oEdhwf4P3nNM34hE2Y2xhj0v2NFgSTeHmQ9qJhbmgYiQldIrX3WS1lMx5HOdsTrZyoXwRHDo5rpfLU1MHxY+Cdugv0pCbcSWOmsshL11AsadXUz5GqroVTTx9JUT6nyPF3FVq5gonPgdqwBfwBeOiunNtcXl3Ectd9MvkOsa21bNy7jfJ4CG49D9XWlvOxwE30McWYukkdpwDX/IT2Zq11Ih3RsqS/5e5f4rMgTAnb2U78Kx+HXU/Q9cYP8hm1mf1dw3zigha2TFS8URCSUEUlqLd/mLJL38yH77uOfz70Bx450sflt+zlocPTK6ooCHOSRMrvOZb+fDJUFacqC0GfJ60o62TY2lzG6Y3z0OuhdTlq6/Zx44t8y1ajTt82krltKqjNZ0+8Uf0iVP0iaBq1RqyrL+HMlvw9k2dFuZpAAQkFnbFXP0PuoHkn0WdFE7gSuqiS0iyZEidPwOvBnyX9vpCZXF6D7ALKjTHPAWitf2GMedXMiiWcDNhnn3YsV0NDtF/2Ga44WEH7gOMWKJYrYSoopVAXvRS1dDUv+e5XOOXIE1yz5e189vYoL11dyZs31adlBhMWPlrrcuBK4AKgliTTjzFmkj4tc4hlq1EtS1He2X87u6U5P/foxBw4Q2K1KVHs91CcryQPs0gu8UVKqZyLG09LFo8Xlq1OWeb1qIyKr39eZG0dHVxlnjjlIUfpKPJ70+N55vDPUY3NUFWDCk4uzk5t3AqDg5M/3rpNEA5Pej/BIZe70NjhduEMyCGcZMT/9gfiX/0EBILsfe+X+cjeMrqGolx5casoV8K0UctW4bniG6zYuomv3PkFXtb+ELfs6uKDv9nHM+2Tf9AI857/ADYDVwHVwPuA/cC/F1Ko6aI8ntwnW3meOJb4vdOqSRh0q+uWBbx4PeSnmK+QkZlyBj2ltphNTfPnea1Wr2fzWetZVTOeBSjDhZJIHV85865sEzFZ5Qpc746qmsnvV1aOqsm9vEG+UDla6OY6uShYc8NRW1gQ2Mgw8Z9+G/vDb8Dq9Tz0ti/wyUfD+DyKL1+yRDK/CXlDBYvwvP4dFH3gCt5y+E9c+cj1DHX38NHbnuOmx9uI5euVuTAfuAT4B2PMr4CY+/+lwJsKK9bsM2LtKqBb4WmNJWxyM875PIpzF5enuQoKc5/6Mj9F88gjQFXVoEozpY2fYD+/H3X6Nli8Ygakmh4Br2J59QJ7ObFuE2rjmYWWYtrkckfzaa0vYlStH/t9Xqa5FWYfe/Qg8eu/Agf2wgteyc3rXs6P721jWVWQT13YOlLZWxDyiVq7Ec9nv8nGX9/E1//0Zb675lX89LENPHCojw+e00RT+dTjGYR5gwfodj/3aa0rgSPAysKJlH9OX1TKwPAEGeaWrUYNDRY0wcB0ivUKQs4sWYna/yyUTSKtdxY3zdlwzZwK2zLWGZvfKJ8fZjCr4GyRy13uOPD9pO/tY76ffGluhUlhrcXefTv2p98Gv5/Bd32aa/sWcc8jbZzdGuL9Zy+alz7zwvxBBYtQ//Bm/1wDMgAAIABJREFUQmdfxAdu/DZbdjzG9af8A++/ZYjXbazjFadUTyuwXpjzPIoTf/VH4C/At4A+nBjjBUN50DtxxkyfzykiKpx0rDrJ6kmqklI45bRCiyGcpEyoYBljls6CHMICxXZ1EL/xOnjkXli9jl2vupxrdgxwvK+Pt26u5+WnVE2v8KIgTALVtBjPh7/A9nv/zKm//A7XL3oeP3p4PX/Z3cF7z2tlRfXJNQE5iXg7o14XlwNfAipxyo6cJMh99mQneQSo8sqCyTGXUUpJXIyQF8ROL8wI1lrsXX/CmhsgEmH4H97KT2u38X/3dFFb4uPzz18s8VZCQVBKobZdRO1pZ/Lx237B3Q/+lOtX/B0f/k2UV6wK8brNTZJpcIFhjNmT9PkE8LYCilMYEi438kLrpEdt2gY+mf4JwkwiV5iQd+yBvcRvugF2Po5deSr3v+Sd/HBPjKM7u3jxqkr+cVPdtLJPCUI+UCWlqL9/E+dc0MZpv7qJHx0u45ecxd3PPs47z2ll05LqQosoTBOt9RlA2BjzhPu9Dvg6sB64G/iwMebkKJK2fDWqvQo1mXgUYUGQcMEPuC+OVGBuxhMJwkJCFCwhb9jebuyvbsTe+TsoLWXPa97PD9RKdjw2SEt5gM89r5XTJAW7MMdQ1bWE3vIe3nNwL9tv/g3X+Tdw5V+Ps+We3bzlojW01BcuGYAwbb4OfBZ4wv1+A9AEXA+8DrgaeHdhRJtdlM8PDU2FFkMoAK3lAcoDXiolkZQgzBpytQnTxvb1YH//K+wffw2RME9f9Dp+UXcWDxwbojw4zDu2NnDJykp8kkRAmMOolmVsfPe7+cbup/m/Pz3Kz4NruPy2g7wk+AiXvmAToSp58z8PWYuT1AI3c+CLgfXGmF1a65uBu5imgqW1fhFwDeAFbjDGfGl6IgtCflFKiXIlCLOMXHHClLFdHdg//Rr7p1sYjkS558xXcVvDVp7qjhPqivCG02p56ZoqSgPiDijMHwIrT+EfVp7Cxc88w41/2c0tagm3/2o3L/cd5e+2r6N0yZJCiyjkjg8Ydj9vA44aY3YBGGMOuErXlNFae3EyEr4AOAjcr7W+2Rjz5HTaFQRBEOY3omAJk8JaC3t2OorVg3/juaI6/nDGm7mjZDl9UWiMeXnr5lpeuKpyXhUgFISxVK1axXtXreIlTz/Ljfe381O1nF/d3s7fDd3Di9Y3UrXlzAVTcX4BswN4DWCA1wJ/SKzQWjczWhtrqpwJ7E4k0dBa/wx4BSAKliAIwkmMKFhCTtgTR7H33Un8vjs50BXm7qbN3LP9UzxHKT6PYltzGZesrGRDQwkeyVIlLCCWn7KCT5+ygmcOtHHT3Xu4yb+R/9kb5bz7/5eXVAywavMG1NqNc7YQ5UnOR4H/01p/G4gB5yWtuxT42zTbbwYOJH0/CJw1diOt9WXAZQDGGGpra6d1UJ/PN+02ZgORM7+InPklm5yD5U7x3uI58hvme3/OJWZTRlGwhIxYa+HgPuxj9zP86AM83Rnh4erV3L/sjRzyV6KAtXXF/PPiEBcsLae8SIaSsLBZ1VrLp1prOdA1xK337+VPagN/Vj5a7zvKhbdcx/aKCHVr16JWr4PmJSiPWHALjTHmr1rrxcBqYJcxpjdp9S3Az6Z5iExvk9LK6BhjrsdJrAFg29rapnXQ2tpaptvGbCBy5heRM79kkzPe49wm+ufIb5jv/TmXyIeMTU25JQuSWbEAgI3H4ehB7O4niTzzNHv3H2enquCR6tXsaH0T4SV+vArWNZTwstYQ21pDVEnQrHAS0lpZxDtesJY3Dsf4y94ubn8qzk9KX8RPgFW79nPmXf/Llr59tDbX4G1dDi1LUM1LoKEZ5ZV4xNnGVaoezLB8Zx6aPwi0Jn1vAQ7noV1BEARhHiMz5JMQG4/B8aNwaB9DB/Zz4HAb+9sH2OevYlf5YvaEnk9ktTM0FpV4eV5LiE2LSlnfUCL1qwTBpTTg5UVranjRmhoO9wxz1/5e7tnn5cbyxdwIhGKDrHvuWdY9ehendv0ni8PteBubob4RVV0PtfWomnpw/1SJlDCYh9wPrNJaLwMO4cR5vb6wIgmCMF2kXpwwXUTBWsDYoUFoO0bsxFHajrZz9HgHRzsHOBpWHCiq5UBpA8eLNmIrPFABAWVZUeHjJY3lrKkrZnVNMXWl/kL/DEGY8zSVB3j1+hpevb6GtoEIjx0d4PFjAzxxLMQ9/esB8BNncaSLZf1HWLbrWVoeeIJFg21Uh3vwYKG4BCproLIaVVENVdVQUYOqrIbEX0WVU89ImBMYY6Ja6/cCt+Gkaf++MWZHgcUSBGEaqE3bwCfTY2F6zNoImqhWiNZauetfAgwA/2SMeSiXfU82rLUwNAjdncS7Ounp7KKjq4+O3iE6+8J0DEZoi3g55ivjWFE1J4oqiatK8K2AOvARZ5E/xsqKABc3VLC4uoTFFUEWhQJ4pVaVIEyL2hI/Fy+v4OLlToHi430RnjwxwN7OMHs6y7i3o5Y/VK4b2d6vLPWeYepj/VQO91Ix1E15RwcVz+2nOPI0wViEYHzY/T9CoDiIr6wcT3kFvooKfBWVeCqq8JVX4C2vQJVXQqgciktRknBmxjHG3ArcWmg5BEHIDyogCYuE6TMrClaOtUJeDKxy/84CrgPOKkSdERuPQSwG1jrhyjYOJD5b97MdXZ/4joW4HWdb67QVicDwMETCzudIGBuJcKQ/xl29AaKRKLFIhFg0SiwSIxqNEonFGbAe+q2PfuWj3xOk319Cn6+YqKcWcLOiBJ2/cjtMoy/K6hIP2yt8NNSW01hTTkOZn9oSvyhSgjBL1Jf5qS+r4MJlzndrLW0DUQ71DHO0b5ijvRGO9g1zvL+CA0NRuoZiRMvT8iRkp9/9cyN/PLYTX7wdj43jxeJV1v1fOZ+VwusBr0e5fx7nf+UuU2pk3RnVHl7Q7AflZSR3g03IZlP+G7nfgaPc1TVOtcsEQRAEYV4zWxasXGqFvAL4sTHGAvdorSu11ouApTnsm1fsX3+P/cl/zFTzWTlStZr/3PjPI9998Rhebxyv1+KzcUqJUqpilHottQEPpQEv5SVQVe6nujJEdWUZNSV+qoq9+L2SwUwQ5iJKKepK/a77bXrclbWWgUic7qEYQ9E44Vic4ZglHI0TjlrCsThxC9G4JRa3xGJxYkODxAaHiA4NEQsPEQsPExt2/qKRCPFIhFg0TiweJxa3RIG48hBTXmLK4/55iSR9jikPyx94hPj+2yf/G7ech3rHR6bfWYIgCIIwD5ktBSuXWiGZtmnOcV8gvdZIrqkU03jtW52/WaYVePmsH1UQBCEbbyi0AAuSKT+b8tzGbCBy5heRM7+InPllPsg5WzLOlpkjl1oh2bbJqc4IOLVGjDFbjDFb3P1m7U9r/eBsH3Mh/Em/SZ9Jv83dvznQZwuRhXBeRE6RU+QUOeednHmUcUJmy4KVS62QbNsEcthXEARBEARBEASh4MyWgpVLrZCbgfe6MVZnAd3GmCNa6xM57CsIgiAIgiAIglBwZsVF0BgTBRK1Qp5yFpkdWut3aq3f6W52K7AH2A18F3j3ePvOhtyT5PpCCzBPkX6bPNJnU0P6bfJIn81N5st5ETnzi8iZX0TO/DIf5Jw1GZW1k0gHLAiCIAiCIAiCIGRFcnkLgiAIgiAIgiDkCVGwBEEQBEEQBEEQ8sRsJblY0GitXwRcA3iBG4wxXyqwSHMerfU+oBeIAVE3tb4wBq3194G/A44bY9a7y6qBm4ClwD5AG2M6CyXjXCNLn10JvB044W72CWPMrYWRcO6htW4Ffgw0AnHgemPMNTLW5hZz6Vkzzpi5kizXmtb648DbcO77lxtjbpslWfcx5nkz3tguhJxa6zWuPAmWA58BKilwf072OZRNLq31GcAPgWKcuPv3G2PyFqeSRc6vAC8DhoFngbcYY7q01ktx4vp3urvfY4x5ZwHlvJJJnucCyXkTsMbdpBLoMsacXqj+nMqza7b6UyxY00Rr7QW+BbwYOBV4ndb61MJKNW+4yBhzuihX4/JD4EVjln0M+KMxZhXwR/e7MMoPSe8zgH93x9vpolylEQX+xRizFtgGvMe9j8lYmyPMwWdNtjEDGa41d91rgXU41+d/uL9pthj7vMk4tgslpzFmZ6LPgDOAAeCX7upC9+cPyfE5NIFc1wGXAavcv0z36XzL+XtgvTHmNGAX8PGkdc8m9es7k5YXQk6Y/HmedTmNMZcmjdP/AX6RtLoQ/TmpZ9ds9qcoWNPnTGC3MWaPMWYY+BnwigLLJCwQjDF3Ah1jFr8C+JH7+UfAK2dVqDlOlj4TxsEYc8QY85D7uRfnTWQzMtbmEnPqWTPOmMnGK4CfGWPCxpi9OBmDz5x5SceVJ9PYngtyPg9nsvrcONvMmpyTfA5llEtrvQgoN8bc7VoFfkye7yeZ5DTG/M7NRg1wD04t1awUSs5xmFP9mUBrrQAN/Nd4bcy0nFN4ds1af4qCNX2agQNJ3w8y/kNGcLDA77TWD2qtLyu0MPOMBmPMEXBuLkB9geWZL7xXa/2Y1vr7WuuqQgszV3FdPTYB9yJjbS4xZ581Y8YMZL7WCil/pudNtrE9F/r5taROXOdaf8Lk+6/Z/Tx2+WzyVuA3Sd+Xaa0f1lrfobXe7i4rpJyTOc+F7s/twDFjzDNJywranzk+u2atP0XBmj4qwzLJfT8x5xpjNuO4u7xHa31+oQUSFjTXASuA04EjwNcKK87cRGtdhuP28QFjTE+h5RFSmJPPmgxjJtu1Vkj5J/O8KWg/a60DwMuBn7uL5mJ/jkc2uQrdr5/EcSe70V10BFhsjNkEfAj4qda6nMLJOdnzXOjz/zpSXwIUtD8n8eyatf4UBWv6HARak763AIcLJMu8wRhz2P3/OI6feSFdReYbx1xzdsL8frzA8sx5jDHHjDExY0wcp5C5jLcxaK39OA+oG40xCb96GWtzhzn3rMk0Zsa51gomf5bnTbaxXeh+fjHwkDHmGMzN/nSZbP8dJNU9b9bk1Vq/GSdZwxsSSQtcF7F29/ODOAkwVhdKzimc50L2pw94FUlJWQrZn5N8ds1af4qCNX3uB1ZprZe5b55eC9xcYJnmNFrrUq11KPEZuAR4orBSzStuBt7sfn4z8KsCyjIvSNxoXf4eGW8puP703wOeMsb8W9IqGWtzhzn1rMk2Zsa51m4GXqu1Dmqtl+EEkd83C3Jme95kG9sFkTOJFMvAXOvPJCbVf66bVq/Weps7dv6RWbifaCfz5keBlxtjBpKW1yWSG2itl7ty7imgnJM6z4WS0+X5wNPGmBGXukL15xSeXbPWn5KmfZoYY6Ja6/cCt+Gkzv2+MWZHgcWa6zQAv9RagzMGf2qM+W1hRZqbaK3/C7gQqNVaHwSuAL4EGK3124D9wGsKJ+HcI0ufXai1Ph3H5L8PeEfBBJybnAu8CXhca/2Iu+wTyFibM8zBZ022MfO6TNeaMWaH1toAT+K4ar3HGBObBTkzPm+01veTYWwXUE601iXAC0i9P11d6P6czHNoArnexWga7N+QGg81U3J+HAgCv3fHQCJ9+PnAVVrrKE667ncaYxIJHQohZ8Zn1FzrT2PM90iPEYTC9eeknl2z2Z/K2rngsisIgiAIgiAIgjD/ERdBQRAEQRAEQRCEPCEKliAIgiAIgiAIQp4QBUsQBEEQBEEQBCFPiIIlCIIgCIIgCIKQJ0TBEgRBEARBEARByBOiYAmCIAiCIAiCIOQJUbAEQRAEQRAEQRDyhChYgiAIgiAIgiAIeUIULEEQBEEQBEEQhDwhCpYgCIIgCIIgCEKeEAVLEARBEARBEAQhT4iCJQiCIAiCIAiCkCdEwRKEAqGU+rNS6oZCyyEIgiAIycjzSRCmhyhYgjCPUUrtVkpdWWg5BEEQBCEZeT4JJzOiYAmCIAiCIAiCIOQJUbAEobB4lFJfUkq1KaV6lFI3KKWKEyuVUu9TSj2tlBpSSj2jlPqkUsrnrvszsAK4Qill3b+lyuG7SqlnlVKDSqk9SqkvKqWCBfqNgiAIwvxDnk+CMEV8hRZAEE5yXg3cBGwHVgLfAwaAy13XircAHwAeAdYC3waKgE8DrwIeBP4H+Krb3glAAceA17v/nwZ8B4gAV8zCbxIEQRDmP/J8EoQpoqy1hZZBEE5K3Dd8S4EV1tqYu+wy4FqgGudh9Cpr7W+T9vlH4BvW2kr3+27gP621V05wrA8C77bWrsr/LxEEQRAWEvJ8EoTpIRYsQSgs9yUeXi5/AwLAFqAY+B+lVPJbEC9QpJSqs9aeyNaoUurtwD/jPCBLca51cQkWBEEQckWeT4IwRUTBEoS5hRrz/TXArgzbdWRtQKnXAN8CPgbcAfS47XwhTzIKgiAIJx/yfBKEHBEFSxAKy1allDfpLeHZwDCOT/sQsNxae+s4+w/jvDVM5nzgYWvtvyUWKKWW5k1iQRAE4WRAnk+CMEVEwRKEwlIDfEspdQ2wHPgc8F1rbbdS6ovAF5VSAL/HuV43AJustR91998LnKuUWowTfNwB7ATeppR6BfAE8Hc4AceCIAiCkCvyfBKEKSJJLgShQLhBxHuAduCtOL7tPwfea60dcLd5G/A+4BRgEMcd44fW2uvc9VtwMjCdipO9aRlwCPgmjtuFD/g1cBdwrbV2rIuHIAiCIKQgzydBmB6iYAmCIAiCIAiCIOQJydoiCIIgCIIgCIKQJ0TBEgRBEARBEARByBOiYAmCIAiCIAiCIOQJUbAEQRAEQRAEQRDyxEJO0y7ZOwRBEOY3CzGrmDybBEEQ5jcTPpsWsoLF4cOHCy2CIAiCMAWampoKLcKMMd1nU21tLW1tbXmSZuYQOfOLyJlfRM78Mh/kzIeMuT6bxEVQEARBEARBEAQhTyxoC5YgzCestezuGOK5rjD9w3HKg15OqStmUShQaNEEQRAyYo8fgeJSVKi80KIIgiDMGUTBEoQCE7eW2/d089872jncG0lbv7QyyKvX1XDukhAetRBDUgRBmA1sPI7y5Ndxxe7dBYA664K8tisIgjCfmTcKlta6ErgBWI8TJPxWY8zdhZVKEKZH+0CEr/z1ME+dGGRVTRHv21bDuvoSygJeOgejPHasn9/s6uKrfzvMbbtLeN+2RhrKxKIlCMLksP292CcegjUbUJXVhRZnBGstbQNR6kr9hRZFEAQhb8wbBQu4BvitMebVWusAUFJogQRhOuzpGOKq2w8wGI1z+bZGLlpekWKhCgW9LK4M8pLVVfzh2W5+8NBxPvSbfXx0ezOnNZYWUHJBEOYdvT3O/90dMIcUrIM9w+ztDBO3Vl4eCYKwYJgXCpbWuhw4H/gnAGPMMDBcSJkEYTrs6Rji03/cT5HPw1deuJTFlcGs23qU4pKVlZzWUMLn7zjIlX86wIfPa+KcxRLzIAhCrszN7PDhqCNXJD435RMKQ99wjB3HBtjcVIrfK/nYhPnHvFCwgOXACeAHWuuNwIPA+40x/ckbaa0vAy4DMMbMupCCkAsn+iN89vYDFPs8fOEFi3N+a9sYCvDlS5Zw1e0H+cpfD/OR7YqzW0MzLK0gCAsJe/QQasnKQouRhpoHJc+sdZRAJbGwM86B7jDhmKVjMCqWTWFeMl9eC/iAzcB1xphNQD/wsbEbGWOuN8ZsMcZsmW0BBSEXwtE4X7jjIMMxy2cubs3pwWGtHXmwlwa8XHFxC6tqivm3vx1mZ9vgTIssCPMWrbVfa71da32p+71Ua31y+tfauWkhsq5lbT6oLH99rpeHj/RPvKEwfcSiKcxz5osF6yBw0Bhzr/v9v8mgYAnCXOd7Dx5nX2eYz1zUwuKKzG6BNhaDx+/HPnQPds9O6DgB8TiUlMKSlRStPY1PbD6fj94V5Qt3HOQrL1wib/gEYQxa6w3AzUAYaAFuAi4A3gxcWkDRCoLdv6dgx24biPDk8UG2NJdS4vcWTI7pYoG+4XihxVjw2KEB7FOPYmtaobao0OIIwpSYFxYsY8xR4IDWeo276HnAkwUUSRAmzd37e7ltdxevOrWazU1laeuttcTvvYP4Z95N/FtfxD56LzQvRl30EtQlr0CdthXaj2N//gNCn347n+z4E9FonM/9+SB9w7EC/CJBmNNcB3zGGHMKkKh/cAdwXuFEOjk50e90f184u3IiXnfCCP2ulbC/N29NJp6v9uihvLUpCOMxXyxYAO8DbnQzCO4B3lJgeQQhZ/qHY3zn/qOsqA7y+o11aettdyfxH38THrsfWpfhedfH4bStKF/6JWqPHsT++Tc03/FbPlK5i6vWv5Vv3H2Yj5/fIrEBgjDKOuA/3c8WwBjTr7UuLpxIJzc2Q6KNOeq5KBSUxKDI4/PMHWj2wB5UY3P+2hWELMwbBcsY8wggsVXCvOTGR0/QHY7xqQtb8XlSHxp2/x7i3/w89PWgLn0b6uKXjVsMVDW2oF77duzzX86Gn32XN+3+NT/kZfz60cO87HR5cAiCyz7gDOCBxAKt9ZnA7kIJJAhCDsRdS+dMvDAUjV6YJeaFi6AgzGeeaR/k1l1dvHh1FStrUv3J7VOPEr/aCSf0fOxqPM9/xbjKVTKqtgHPez7Jyy/ayJaOp/jh413s2vFM3uUXhHnKp4FbtNafBQJa648DPwc+VVixCoMqndmMo33DMWJZEhPMhwyBwhxkJoaNKFhzHhuPO7Ho8xxRsARhBonFLf9x71Eqi3284bTalHV25xOO5aqmHs8nvopavHzS7Sul8J5/Ce9/8QYqo3189Z4T9D4l4YmCYIz5NfBioA4n9moJ8CpjzO8KKlihCLovd2bAKhCx8NDhfna1Tz6rqXg1zy8isTjdQ9GM6w52h7lzXw/x6SoxdgZcBIX5w87HsQ/8tdBSTJt54yIoCPOR3+3uYk9nmP93XhOlgdHsWXb/HuLXfg6q6/D8y+dQ5VXTOk75ypV82FPGJ+7q4PrbHudDRFBrN05XfEGY1xhjHgLeXWg55hKqqnbijcYQicUBhd+becIbtc7y3vDU3zrny7BwqGeYZzuGOG9JCI9ob3nn0aMDDETinL80vdD9vq4wAPFpp1ifWSvTnft6WFoZpHbyl4IwDtEjB7FWoQKZMyTniu3pypNESW0ePQg9XVB7Yd7bzoYoWIIwQwxG4vzs8TbW1Rdz7uJR9xzb0Ub82qugpBTPh6avXCVYu7yRSzsi/NfOjZzx05u4QEdQGyRsUTg50VpflW2dMeYzsynLnMBOPb343Qf6ADJOqmG0ZFE2hWY29Zx9nUOAI5NH9Ku8MxDJPo7yVrpqFgxY+7rCbM52eGslYVQW2gciPNM+xJktZSnXu40ME9n9JEQtbDijgBJmxj737KwfU1wEBWGGuPnpDrqGYrx5U/3IzdpGI8S//SUYGsRz+adRVTV5PeZrNrewpsrPd1a9kmM3fAu74+G8ti8I84jWMX9bgQ8DKwopVMFImIhmIAYlMeWeSKEZ79BtAxGieZihz8Tc/GB3mEhMYneSseOczMn2lLU21a3QzkSSi3SponHLw0f6U8qc2GgUe9+d2MP783jshcPu9iGGYzb9ekhcu9FI+k4zjO3vxUYzu60WErFgCcIM0D0U5ZdPdnBWSxlrakezQttf/gT27sLzro+hWpbl/bhej+KD21v5wC17uXb9G7nyui/h+9BVqOVrJt5ZEBYQxpi0Uh5a6xcBryuAOIVnBoP7p9NyQqyuoRi72gZZWhWkyOfJag3b1znE/u7hrNa0fP/MjsEoezrDC7rA8JHeYdoHoqxvKMl5H0t2JXay5+D+Q30MRe3oOR3Zf+oKlu04AQP9qJalWWXrGozQG46xt3OIDQ2lzkI3uYI9tB/VtHjKx58sdjgM4SFUqGLWjjkVom4HzhUDn43HsU88hCqvhDkWFjFrFiyt9eVaa/F4FU4Kfr6jnXAszptOH615ZR+7H/u7/3UKB28+Z8aOvSgU4O1bG3iipJmbl11M/BtXYY8cmLHjCcI84nfAKwstRGEprCUmFs/w9tulNxzjgUP9PNsxlHX//d3DkzqeY32aunKUsKxE4vNbwYrE4ln7/Zn2IToGC2cBGIqOtYa4FqVp+Hja3U9hDz2HjWeOC7QdJ4gdO+x8ztQt03CpnRJPPIh98pG8NmnjcezjD2JPHM1bm4lLaY7oVyMKMQP9hZUjA7NpwXo+8EWt9Z+BnwD/a4wJz+LxBWFWON4X4Te7urh4eQWtFU6wp+1oI/6Dr0PrMtRr3jrjMjxveQX3H+rjp+oCNnY+w7J/vwLPR7+MqkkvciwICxGt9di0nCXA64Gc3jZorVuBHwONOF5w1xtjrhmzTQVOMePFOM/TrxpjfjBN0Rc0Dx/pz5okITGl7RiIwhS9p5Pnyr3hGHs6w3QNxSZlnVmITBRHN1nsOCasaavwXR3O/2oaNoCE1hSJQNCbvr6jjci+bihfOXZH59+45VjfMPWl/mnFY1lricbJmiBmZLvIDLjWxaLYgT7YsxNV18hAJEZfOE59mX/aTaed4xOHp93mlIi5Lwa8Gc5xgZk1C5Yx5uU4aXJ/A3wAOKq1vkFrff5sySAIs8Evn2oHLK/d4BhsbTxG/Htfg0gEz2UfQfkDMy6DUor3nNlIKOjlmjPeznB4mPi1V2Hn4FseQZghdgPPuP/vBu4BtgNvznH/KPAvxpi1wDbgPVrrU8ds8x7gSWPMRuBC4Gta65m/wKfDDBiwcm3Skp4kIXnfxIQkmgc/PwvE3HZ6wlHaBqY3gZ2MSAORGCf6sx/PmejOnzo/Tx0f4MFDfZPYY3rnz/b1OB88eZg0jzlxg3ZU0RlP5Tkc8bKzbYijfRGO9Q2PG3M2Hrs7hrj7QG/WGnFjmepxJmy3v5cHDvXzdNvkSylM2PZwGHto/+jn/smMlRyPkS22a8TaOfdSSsxqDJYxph34FvAtrfVpOJast2itDwDfBa4xxuRZWjCxAAAgAElEQVT/zAjCLNE1GOUPz3Zz4bIK6kqdt0T29lth1w7UW96PamyeNVnKi3xcfvYiPnv7QW586cd4yy8+Tfz6q/G87zOoOfi2RxDyiTFmWk9cY8wR4Ij7uVdr/RTQDCQXmrNASGutgDKgA0cxm3uMTNxmMBYrT01Pw6MvhYQ80Tg8eXyQ85eOvrm30SjKNzNToAcOOS+yEs+AbOvzZU2aaU4MpA/p8U71ROPgmfZByoNeGsoyv4tQPl/+Y3xcmR7un+D9hyv8sKuI7e8OE446Vqjm8tR9bXcnlFeOa+Fq63f6Lm4t3nFUup6YoifmodXGQeX/+WyfeAgaNjmf85wlMR6Lpf6ynY9BHsMgbG+34z65ah2qOkukkR3dlrLyOZEFctaTXGitnwe8EXgF8ABwNbAfeD+OdWv7bMskCPni5qc7iMQsrzrV8W+x7cedxBbrz0CdffGsy7O5qYyXrqni/3Z2svlVH2Tjz7+K/a/vwBveNSduQIIwH9BaLwU2AfeOWfVN4GbgMBACLjXGpKkHWuvLgMsAjDHUTrMAj8/no7a2lnhvD7EjB/GvHmtYS2e4ooIYMYhHKKqpyfn6H4zECIWc2ctYua21DJWHiEUgFApRGvBSW1udJufxaC8DaoiqqjJCw8471OqaGjxKcTTSw4ByogWKfB6GovGMx0oQas8sS9r6mhp8Q1FCA6OT1cQ+8a4Owk89RmDdZrzVtSNyZiLeGyY02EN5sZ+YPzLusSct4yTHwXhyTkTimJXDg3gqKvGUhtLW5SJv4nNNTQ1+ryfjdsly2lgs7YXew+0n6AvDuqW1GY8frq2jxA5QWlZKRWUVtZXF5IqNRSEaZajc+X3Bmho8xSXYmLMsEPUSCIUYLi7C63HGbUWJn9raSgDigwOEy0OUDihCoRA+jyIQtxSHiqmtLRs5TqztOMOH9+IvWoOveUlWecq7YDhmqa6pIejL/s7nXlsBHthUVY3ypyrmmc57rP0Eyuej3VtCWdBHsT9dKbPh8Eg/gPNbAapravFmiW/b3zlI0OehIZS5llXy+Q/6PDzXMcDOriHOKgvh9XgJlYdQPj9Fkxyn1lqie3bibVpM2JU5cZ+KhgeIlIfweSz+Me3G+4OEy0N4ikrxBwOEn3oWX8tS/MtWp2w36LY5nWtossyagqW1/irwWqAbx6/9U8aYQ0nr7wE6Z0seQcg3/cMxfvNMF+csDtFcHnBSz/7kWwB43lg4hebNp9fx6JF+ru1r4t8v0YR+Z6C+CXXJSR7rLyw4XG+ICe0oxpic04NprcuA/wE+YIzpGbP6hcAjwMU46d9/r7X+y9jtjDHXA9e7X21bW1uuh89IbW0tbW1t2AfvwkYjqPIqlG/8uArb3Y3t6QWgb+/unOvvdQ9F6e0dAKCtLfUeZq3F9vTSF1P09vYS83toa3MUpL5wjIb6Wvq7O+nqGqS3L0JnIEJvr5PA4sQJJ+tpV9cgva473bBXEXYTMYw9VoLe3t6M63e2DVJf6h+R9USb4xrY2zvqEpXYxx7aj+3pRe3fi4qP9mcmOgYi9PYOooa9I4WUs8mWScauwSgBn6IkaQKc7TdMxHhyTkTimB27ndIdqmUpylUMJpInef3o5/S4osS6SLSaru5ObCSCfegu1OLlqEWtGdvL9N12d9PfF6Hf3899u49QNAlLn93x8KiLIdDX3oYqKsHGYtieXoYGiwj39mIHh4iH/PT29uKNeGkrdixNdmgQ29NLf9hHb28vfo8iErd0qjBtajT5ij1yyBlDx46igqVZ5enp7SUSs7S12XEVrKHBIbcPTqSFEWQ67/F77wTgrw2b8HsUZyfV2hyRcTg8cs0D9BY7n4+fsGnKcYIH9jl9l826OnqunN/z9KE++gYG6ejuo7GqjN6eXpTPR98kx6nt68E+vQN18AC2z71PnTiB8niw3V1OXxd1otx2o3GLAjyD/c664RgcP+Z8PngAFRp90ZO4TwEUR6NTvoYSNDU15bTdbFqwioC/N8bcn2mlMSaitZaqqMK85Te7uhiIxHn1Otd6dc+fYcfDqNdehqqpL5hcQZ+HD53bxEdu28e3my/kw5sPwn//AFvXiNq0rWByCcIM8MZ8Nqa19uMoVzcaY36RYZO3AF8yxlhgt9Z6L3AKcF8+5cjOLFRkTT7a7qegqmb0fua6Ux0eTp9KPHSkn1Cfh001MyPbWDenY30RjvWlxmlkD3vJvd+mK/1jxxyFLx/ugNZabDyGyjE2KRKLZ51I24P7RhSsjOvjceyDf0MtWw1ksiBlz3Ix4iIYcfOYtR0HV8HKKcZozDZ9Ox6jNB5B5VDANlm5SiHn+OPUYyeGWHys3Insdd7xp9GTHj9TqAUXmeQ+eSsITea3WdZVfqbWYHKL7udEspOkTJ537e+lxO/hjMqkzRMna+y5KlAG0NlUsP4VGEheoLWuAoqNMYcBjDFPz6I8gpA3wtE4Nz/dweZFpSyvLsL2dGFvugFWnIK66MWFFo8V1UW8/rQ6fvzICe64+J+5sLON+A1fw/ORf0UtGZtFSRDmJ8aYO/LVlhtX9T3gKWPMv2XZbD/wPOAvWusGYA2wJ18yTMiYiYQ9cRR6ulArTgGcSeF9B/tYWVOUmpRvihMs234c2o+nvDAKx6Et6kSXZJs758N4n9e4kYSgeWgvGrf0DceoLBqdTtmjB51jLF034f5xa9nTEaa1IjCuhQMg8uQj2H17UGddMGG7R3qHeaZ9iFU1RZS7WfTGKje2p8upH5SJaMSZmO7fA9Xr0vYfNwYrba3l3oO9WAtnNJVl3Cd189QJ8YNHBtkeGpqWsmuffDj7unH2G1Gw2o5jyxpRQdd1Lp65GPJwLE5vOEZNiT9l9XjHCEenpgBMqKu2Hcu835SONhkyH8FaS+9wfGQ8pqAUA3HFw51eNvsUxR472kwigcWYcTEQiTMUtYw4M3rSFbFM+80Ws6lg/S/wVlLdAFuAG4CzZlEOQcg7f3i2m+5wbNR69YsfwdAgnn98b85vG2eaV66t5sHDfVz/SAen/tNHqb/mY8Sv/TyeT3wFVS3p24WFh9b6dJy43lqSXiYbYz6Tw+7nAm8CHtdaJwrUfAInJTvGmG8DnwN+qLV+3G3/o8aY6fmfTILkCZaNxbB7dgKMKFjRuGU4ZnmmbWiMgpU+AbI7H4eiEtSSFTkdOxa3jpUjuY0pTN1y3ecvz/VSWTR6L03YT+yJoxAIAmPvs3acCejkLX89WbL+7WwbpH0gyrbWMgIJa1Ffb8ZtM9HZ3sOh/ScItzSxrj49lbwdHICiYpRSxDpO5N6uW9fqmfakmmJjFaynHoUkL4aMSmzS95zPboZCwWG31lUixi45BMjGYo5Ch2vlS5hYbBzbP9qXNh5HTTZb3DS1iXDUYiPDjtIcaYf1m53aWt0dGbd/7OgAA5E425f4UEqN9MB4ylB8ZDCDtfGcR+VEaoM9sHfc9bG4zRqLNSnS9OnMP/ZgzzB7O8Oc1liS8kICgM52jkW8xIeHaMNDayCW/iIkg+mtP5JQsOyopesktGCtMcY8nrzAGPO41vqUWZRBEPJONG755ZPtrK0r5tT6YuzeXdi//RH1wr+f1UrwE+H1KD5wdhPvv3Uv1zwxwOff92nU1R8j/o2r8Hzsy6iik7tOjLCwcBNL/DtOceEX4yRRugT4VS77G2P+ygQzcNf74pLpSTodkiYSQwNpaxPCZ3Ih6hiM8sSxgRHFwHZ1AB1ZFSw7ZpLyt/292HicLUxhAj5FuobSlZyEUpnIkJayLptEif7Iw9yyf9iRKRq3BMZ5l7a7fYjDvcPproLPPgm9HmKNDSmLe8MxGB6i9MkHUI0tkHReJrLm2aEBeG43tmZxqkKSaeI7PFqOdJzSViO726528AWwNrsl6lhvGF8kRnEGl624tdi+XjzBpDijg3udelVrHMuojcWweKCzfdQVD5yU3BkUrNjxI9y/r5MV61ZNtXwakVicuw/0sbLU0jh2pbXErRqVZdeOrCVPxpYhUK7mlDwWbWc7hCoyZrGMW5tz/aSpXm/WOmPob/t7aQoFWFlT5C6f+hWcMhyztNM/7PRNJoudPfQcdqxKkrA8jdRDs/QMRVPuAyOum7EYxCKp+4GTfbBACtZsJo4/rrVO8UVyv7fPogyCkHfu3NfDiYGoY72ylvh/XQ8VVaiXXlpo0dKoL/Pzjq0NPHVikF92leF5x0fhyAHi3/1a1or3gjBP+QjwImPM3wOD7v+vBmagoufsEo1bp67OmIlMZ9TDgeFUK09mLId6nIl1b671mHKYfIWjluFxcqynWNzSPkD80D7swX2p+8TjzuRrzCQppS07ZvskpSEjna6RMQ8ugmocleShw6NVZw73DmfcJmFAiIeHsE8/ho06lqeHj/SP7t/bRftAhDs7vcQs0H58fKEO7HNqEaXVI8pwDqOjKdiHjp/IXm8osXfbcTh6cNzDP9s+MJKK/tCwl57IaB/Fo1E4ehC7/9nRHZKK7NqhQYjHnGPFxozNeNxJwz2GyLO7CPf08tSJqdd4SryEeKYz83mKw4j2absnzsc2YiMdo2Parg7srifgxJHM+01Cyfn/7L13mBxnlbd9P9U5Tc5Jo2w5W5KjbJxY4oJhgQLeJe9LWHh34cNk8BoH8gImLniBZcFLqMXGpAUWG3C2nC3ZkpXTSDMjTc6d6vn+qOru6u7qnp7UPZLrvi5pOlQ4Fbr7Oc8553dylzw4PMPIdGldIlJzDNb7cj7ulZTGf/P9JI1MJxibybY5va3cSLCEp/qmODhifL5lIg5R83E8RmzHNg5E3VmBLjk+mhUFLSfldLB+ANyuqurfqqp6uqqqrwB+gZEi6OBwUqJLye3PDtJd42NTWwj58F/gwG7E370FEVieEaHLu6u4bEWEn24bYG/LaYg3vBO2PYq840eVNs3BYTFp0jTtPvOxrqqqomna74FXVNKoxeAvewZ49OhEntPzzLSXg9HiaoJA1kiq5Lomu0GKZVJGDvQhp6eYfG6noV4WixrpbQWYMCM/1h5LcnISZnIGyQN9htM1lHEqZDyW53Cl6T8Gh/fnTRhl1Q+l9mHOjMuZaeSBPYaIxMgQ0w/dw0MHhtLRqfkyEZt95jyVQi77e42B+7A1wzRzbQ6NRElImNTF7M5uoUtqt96+nci9O5HxGI9uP8Doc2YpvM2itg4yRvQh9sRWU61txEj5M+3YH/Xw1IR5jMkE8umM/oscsZlfP7S34GHJwwcY3vY0cig7C9fubOyecfPMtKekiYEl6u2bvY/Ug6R5v9s4igByapJjT2/j8LBxj8rjx0gc2me/bI7dh0djaVEV2WeIdMd041+2LdJcXyJ7DvLQzmPEk8VSanPWP96Lbl6nuaQF22lQbOuf4qm+KdvjQQgjUljI6T+4F/3gnvTTA1E3PTE3A6ZDn9Al+2bcJMtwfe0op4P1eeA24F+BR4Evmc8/X0YbHBwWla09E/SMxXjNGfUwM204KSvXIS66stKmFUQIwXvOb6Em4OZf7z/G5CUvQVzxUuQff4n+wN2VNs/BYbHoMftXAewGrlFV9TLAfor6JCOWNWrIqa2Jx5F60kgFikeRQ8chnn3Y6fKGEvYlZ6bguM2M+/HezJ5HhuHoIWPQfPQwHN5P/NBe5NFDtiPgbX1TjE9MZTlKtuOg1PsjRtRA6joc2gd7d2atl3agpibM5SwOVTIB+55D9h9DjltU5swUrenntjNwrM8Y9B7v5XjCRWxymr6J2YOdCwmC6VIizBBWQYcRQIJbEQivj4QUZs1ZKeScUbvau1QEy9z/00MZp7Iv7uLeUavDbjmnVmer5yBbh6ThHB/vJdmf6sAjsteLxci64/btQkYz0UZ96z0QizEQV4jqIu/kHu0dYPu0j4Gxwo57iv64m+FEds7mQDx7yGt76cwDy7qnpGQwoZQ8UJfxGLp5H6b3kRPSksP2yVvy4F72nJjmQJ/hgMkDe4gfLuBgWR7Hc4yTpgO0ddLP1km//brSuGaxYz0cHYsylBP9mogluf/QGDPDI9lRoLER5PFe4zvGdKZzT000oXPfwTEmSo2QW8icM4nc/lgmDdjmG8L6im42h5aA3Pk0Bw4c41jcTV+8MnXwZavBMpsvfsn85+Bw0iOl5BfPDNIS9rClK4K844cwOozyvk/OvRC3zIR9Lj5yaTufvOsQX3ngGJ983f9F9B9D/vhbyKZWxNrZG5c6OCxzvghsAA4CN2JkTHiBf66gTUvCwz0TtFnG3PKJBxGRKlh3DhwyRA1lxBA72B91E+kfhJr2ots8PBJlNJqgq9qXlcKVVQMTjyFtA2aWgXjPQWj2AwH2Ds1kLZXY9hjIWmRbV1Y0rChmfYWeG/2QMmtAPp2wVBSZzqU8uAfRkjluue85qGtk95jOvmkvGxOSsCJISgFSxzMHAYB0KcgsGtjWSNr9h8ZpjSmAnokEFPDYXMJwONID49ztTht1V6w7gyIhrPSjyaTgiSkfm0OF0yn74q6sTVn3+ujRCTa2hQibhWc6In0NU05b/2Sug5qT5pmIw1MPY3TxMYnH2Dlj1me5BFavZlo3jMkds6dkIVKmFroE6e3aYBu9ybqnBH0xhfZS6nkO7UMOzsBFl2f0GdLbtGz+6GGIRCBQbdnlfFMES19vZDpJUzi7Nu/QsUGEpfm0jEbpndDRJQw88wxt3mSWeqVEwHPbkX0z0L4y7/wNTSeQwNHxGOt92TL/Enjw8BgdYTfy8H5obrU31DzXUsKz0x46Q0DO3EIhSRA5NsIxs+deTFamB2k5RS5QVXU9cA6QVR2padoPSlzfBTwGHNU07W8X30IHh9J5um+KvUMzvPeCFpTjx9Dv+g1iy9Vm35Dlz2mNAd65uZl/e6Sfn+0Y4e/f/RH0z34Y/dufRfnklxENzbNvxMFhmaJp2g8tj39vtgXxapqWW5hy0iGTyaz0u1hScnAse/Y5K1Jj4WjMDT3D1JoOVqGhR6rOoas6ZyldRx4/BoQL51blvD4STeYNjNJMTxk1RSNDlDQOylXCk+Q4Hcbfp/umOK05ZH2JuARvbmpWPM6keeqSOhydUTgSc4OUHByJckZTfg+oQiITUk/mDf7T75mpYbln7HgsR/nM1sHKTcTKeTY9hdxmtBgVY6MghH20Zca4ppNJQb8Z3RlMFJ4MTKvbWZ9beOLYZLZoh3kMqVV2DZlR03jcOH7dTHEsgoxUw1AqWmIRUJGQTDlSUjfUI8dHEavW520jbnVitj9WkuuhT06mr9G0LozPSd52BcfHZ3hu3M8af9xw+MZ01hToO2sIx3hN+1PRMEvEtueA8WDjZZbjNJfLTZW12/48K5/2Ds3QGMqZGentgTUbjO2ODiP7D0LbGWn7czkQdXP6+ChS+vI+k71xF/tS6pVSMjMTY0LPrlZM6HCgf8QQWTlyECLZd/WULgjoxhWPSRhOupicEDneAwX9Sus9sJh9v+ZC2abZVVX9BPA0cC2G9G3q31waQ74f2DnrUg4OZeD2ZwepDbi5alUVuvZ98HgQr35Lpc2aEy9eU8MLV1fz388O8vAQKP/0KdCT6N+82UgLcnA4SVFV9RZVVc9PPdc0LXYqOFcAyaOH4OihostM64JJi6JZ3KqJUVM3t4L23EF/Kl3QxsESOQ2xRpOCqYT93tKLmelHtkvJnBoSc4AqMdKi7p/w89SUF2amjMGptKwIyOhM+vHDE37Ia5uRUXgTwL6p7EKRZ49nD3TlyCDJrffmpfTtOT7B9nu2GgNVOw7uhQN78hWkUwan3hgbsTkH2SvNxCX3PbqLiScNp4pxyzrmtRpOuvKvT/9R+uIunpjyMVzIsRJG6uLwTIJJXclysHIbOc9mZ9YVHR0GJPvNGsFEAW+60H25O+rheCrVS4Lcv8twsqzrFBAzeGbKw7PT+aHWrCTbnU+BKWueXtbm/u4fM5zGvTMejsbcHJ3KicrpmfuTRDztiGduS/NeK5DmmUpzSwmZHIu52D8l6DXFKMaiyXS9VFwa+5PR+Yh72ERBU5MPKecuZjhJ+6IeorpR05Ri0Jp+mbOpvTOWc33sMFvvf5Id5udIxuPoTz1iTAAVuNgJKXh80seeHUZqZCqQbFfSaBtP1HWenbZ3DJPmPVMOyhnB+gBwgaZp2+azsqqqHcDLgc8AH1xMwxwc5squgWm29U/x9o2NuJ99HH37Y4jXvR1RXVtp0+aEEIJ3n9/MoZEotzzYy7++ZAUd7/4I+tduQP/3L6O87xPLpo+Xg8McEcCvVFWdBH4C/ETTtF2zrLPskTufRs+d+0gk8qSIH5v0QW/Gn9w57eGMgDlAHhlCtjQBYtYirCOjdiVr5krJpO0YSQ70k0r72jblg2qbZexSrQoMuLJqSCyDvKf7DKW6KV2xdWzk4HE4chRqM+LdQ3FJ1rf06HA6pU1kNWcqkAo2cJxYCJLRBP1Telp9bnQyCkkXYrhArypzYK3nKOOlWz7FYuABebzXNgvC6gSemE6gj47Q502wxngzwyzXczJpLDClZ//NbESgS9h+PH/QfmjEIukejyE8OYPY2dT1chyWyaQg5MqPSNoxkuUQFlin7wiE89PGhpPFf8NkaouJ3ChjjjEz07jkLCp9R/ZnrWmtwZK9PRkFSOutZpXKz5G03xf14FcUooMztAQUntz6DJGODkJRN31xt6HoODXJTFetoRw5F3Gt3JM9OQGRzIfVehYHEi5q44XSIwtP1xhCJm6klEyNjkLM/M6YGIWc8ZLM+Ws4caWpIkoJJ0ynb/+4TqEPQuLwflhRniyjchaKTAPPLWD9WzBkdwsmwKqq+i5VVR9TVfWxBezHwWFWbn92kLBX4UXdYfSffx9a2hFXnZxZq16Xwsde0I7PLfjsPUeZWH22oyzocNKjadr7MZrZvxfoBB5WVfVxVVVP6gk6mRPhmEwKY+a993BmmdQIxVLXNCOV7GGQOdCbLcnIKHw31twx7TH2N+fms3NLZZJDJ5DxQlokljqigVm6vKTOlcWpeWZM4fFJLw9NmO1JD+xGNwe40rpOIm6kYlpqvVIpZKNJhd1mX6tYQkdOZNIx5Sx5jjOHDxhRhxKbEUd16JnJEWco4shMxHSOz0HGpT9uzrNbzlFJ0v0JYyf3HhyjN9UaIK3OWOAc5Azo46XdPHmILLENaXk9H7tIXa56oa5Lex/1wJ4sWfgkMLDbXnACMOoNzXrFRyZ8Wf3ndEAe3sfBoWnuG/dnpXAa6Z35Yid5dU0DwxCLMt7bm3YmUv3v9vWNQu8RONHHsbH8G6A3lu1kSsv/ua+mELFolj12l1WCkQKa/5YZPTYZPsHogUMwPZWR4I8Xj4imAt92TnfuBM1QMnOd41IUdhTK2BOrnBGs64BvqKr6aaDf+oYpgFEQVVX/FjiuadrjqqpeUWg5TdNuBW41n1Yo69LhVOfwSJStPRO84ax6/Pf+Dnn8GMr7r0e4S5BHXqY0BD189LJ2/uXuI3z+3h4+fdVLcR07bCgLtnahbLm60iY6OMwZ87flT8CfVFW9DvgPDKGlr1TUsEVi94w7k6pjVc1LPbCMiEROHY9UCv/8y6OHkb3jiNbOrA0OJlwMJxT0qRh0GoOnoSI1PGlGBiGUUzxhEyFK2zc0gHyiBzZezESxUfgs6T4yaudpSCPiZcNTJyzL67rhhI6NID1eQwDAdFh3z3ghmkS4XEbUZqAfauoA2DdtM6C3DDSf6BmHkISRYWT77I3o98x4GFYE3phOaohsOAgepAS95yBYfnue2D9ApmFTgRRO41H2G/3H0gts29cHfUcpiuX+2VuoNYB19znS6hkbMgsdiLpx9Q0B5vYsTl+WUIF1u4f3pQfTubE4gJ6YTfRqILuPmJ5znrLOzMggNBlFVnZ1WWmTpiYNxUwzcqsjGIlKhHkofeMxnhn3peumnptyI+I6IUWn1q2nr1VWHVJOxOiZYTOaYzYjThrGA5BINe8dH2XPUzto9BoaISn2Rj1Zx1WSlsaJPogZ121/1MPhvb0QzG6ULQGO9zLgdTEyqdCRen14EKSeceCHTKdWTxp1f8npvDozm7s1+6nVaFNZMDfqZbdo1utl7PdZzgjWD4F3Aj0YjR7jGLG/Upo+bgFeqarqQeBnwFWqqt62NGY6OBTn9mcH8bsFL2sRyN/8HM4+H3HmpkqbtWDOaAryTxe18Mzxab65tQ/U/wsbzjGUBffsqLR5Dg5zRlXVsKqqb1JV9XcYUu0J4K0VNmtBWAcO/XG3/cyx3cK5mBEIW0mFngM5TWqtM/HmGma9yuFY/uB6LJmzVYsgh9T1gkppea/G4+wdzxkQmesWquGxoqecOGvUz7KTkYTgkUkfE7n2GitnehYVGsVBZhmzV89IwmZb5rkytqtnZu6LNGXOxSrDbd3Do7t7eajXEimwqeGSyWRxGXjIbupr41zJ0eHs5sDFKFG7PteinpibQzb3Ux7JTNqY7DtadHBdzI9IB3r1uXRzKrCt7fmJU8rIoOFCJpOceHZHlijF4HSSgYSLQzEPT01l6rFmLPf1k72T2RtMXUNFIZ5z/0vrOY9FC0dwADk5kddLLG8ZmxOSOFbY6T4Sc9MbtdgweLygUz1qk7LZH1fSzlh/3C7aBsSiyMP7syNjBSh0PWdtQr6IlDOCtXK+K2qa9nHg4wBmBOtDmqbNRRzDwWFR6J+Ice+hMf52fS2R396GTMZRXv8PlTZr0bhiZTX9E3F+sm2A5rCHN777o+if/ZCjLOhw0qGq6n8DLwWeAH4KvFXTtOKjipMQ2/SZYm+ajA2OQLCG6YQf65y0HDxecJ1SeXoqv4A/XbOzfxeEI1DfOPuGhMh3AM1Demxyll5QkxMkZ2ZIR0NsOJ5wEdVFRiQ8Ky1RZs6ffcMk223qlr5OcnI8vzYsmcw4ryKznUldYfeMm3V+a82JNOqHFLLFEyzM6AoMDkCEwhzYDS5j0Pn5ibUAACAASURBVHqilJ5AoXCOg41NtLCIS6LkKCMWYL5OjRw8bntZ7fUXS3HEs5vs2uhDFrdHSkaTwqg3tNozNgyBeki6sh3YIuy0iDPkOcWpnmV2bWBynFopyQ8AJZOAhN4jyLEZaDore4FkEjk8ANJwOG3P5yyO+lG7iKEVOxEXyGqQXlBWPZk0/lkmLCSGoE+ew2mxfjhp9DBzleb3Lxrl7IN1CEBVVQVo1jTNpmuhg8Py5pc7hlAEXBMcRj70Z8RLXoNoKqDRepKinllP30Scn28fpNbfzEv+6VPon/sw+jdvRvnYFxD+ORTROjhUjseAazVNOzzrkicRuUM9uz4wdsPBHHE/g2SS546O0GRpoiWtDXx13ejpN4fePAU5tA/Z0GQ8nhg3/gVyRTayj2XvSIzRcUv0ay5qacd7iXvth9wFsUZuskbc9il3Mh6HVMNYu80WUhQsQH/cjU9IuuNxo54nnUIlYf8uZCC7YeyxeGYIN5o0+3eB/cjYHODP2hMoEU9H4wpvjKL3hBClJUdNJgVJufBEqlR2bFzCRFJkXYpSIljGoVjTaS1EozBVRFE3HmP/cJQem0kFAUaNVN8853Vy02hTTq5NOcJUb/aQ2va4+3qyosl5TE9l3g8XuPLJ4kln+wuli85C0YhbkfcSUsw62TKtK+yLulnpSxDXjTTBcoh3lc3BUlW1Bvg28FqMtMCQqqqvxFAW/FSp29E07a/AX5fCRgeHYgxPJ7hr3yhXrqyi9o4vQ3Ud4uWvq7RZi44Qgvdd2MJ4NMl3H+0ntKWNy1LKgt/7Csp7P+4oCzosezRN+0KlbVgKSnF1MmPfzNLTdnVH8TgcO4I+PGOf1TXQhzT7Ki0KM3apPfbbPhJzcWwibjhi6RcPGtGvEumxq5kp1Ve0RnDsTDzRlzNYXZyy78MxDx3PPA4zc5Mxz4qepK7X0Ik8pbZZSeSrtkkbMYKu43s5XNWBMGvPspaXEnlgd5Z6ox0lpQMWIKqDL31LZ5oBPznl45xgJopo2w/MauvEODIUylIOnMrt1VUsqjs+Ss+Rftu3BhOKUZ/HPH8v59LAyaZvVp4PbLlfbWX8retiiLnkkUjmLbcYFHewCn//2H7GbZjSFR6e8ONPurggqdu0a1h8ylmD9R1gFFgBpOLwDwGvL6MNDg7z5s6dQySl5FVTz8HBPYjXvvWUjea4FcGHL21jQ2OAWx48xpM1aw1lwacfQd7x40qb5+DgUAQb/wrINGpNY86IWwc39437ORg1By2pgfUcIlhFXbGc7QykBTLyt38w6rEfvU1P2rw4F+YxJIzF81OjJsaz077mG+WzWy2aUycSzzg9c2qaWmJa2qwc2pv3kgAY6LdtaC2jM8a+BwtI1i+QvTMeHpn08/ikl+Nxhe05PY+sjkEhQRPAUHw80Qs5AjB2UeGiFLgnj8XdRGdprFwUy3mXw7MoZuagI7h/wl/w/T0zszu3tg5WDovmYJXUZXz+jFuORXjKI0hWTgfrauCfzdRACaBp2gmgqYw2ODjMi7GZBH/YM8xl7UFaf/MDWHM64sIrKm3WkuJzK3zqig66anx8/t6j7D7zKsQVL0P+8Q70B+6utHkODs9LShnQpIvmcwb9h7350QYwHKwZ3WjICkbB+nwZShSZGc5pBNsbdxs2FqxIt3ljTh6G7UbTj0oZQAKGI9pzoPgyUwt1/DIUO8JdM/YNVLOw1OjIZGl9hApSoOYmHdTstxM+KI+I85Su2J6Pg3NJU0smkfsX2B6vSF1SMQdvTixCbWQeRS7TgwWds8xKT095l9wxum/cz0ipn9NlRjmtHgUarC+oqtoFOLVYDsueXz03TDQheU3PPTA5gfLGd6U7tJ/KhLwuPn1lJ3VBNzf99QgHX/RmQ1nwtm8h9zrKgg4Oy5F0nc2RbKfgeNT+O2t/1MOjk/5ZG7KWwrycM5u0NMBehn2h9WAWB21mLoPfWIxFdxyOH1vc7aWwpj8tNIo1j/UzKm/lcbQWiqRE5c2CGyjzcZbgzC+dRZktj5XJ8dlbQrRtOVJOB+t7wO2qql4JKKqqXgz8J0bqoIPDsmUimuR3u4a5uFGh457bEVe8BNG1qtJmlY2agJsbrurE71a4/p5j9Lzxg1DXhP7tzyEH7HPPHRyWA6qq1quq+mZVVT9iPm9TVbVjtvWWM0sxcDpeSFmu3APHXGzqShbMQhyOBUfPckjqtud4ZJbeYgeiszix1j5PC41gLYRl7l/1pCYcJJm6q5Ghpd9xuGr2ZYpRgtT4c9OlOCXzcSbnvkplqLyh5ZRp/wIwA3wLQ2DzB8B3ga+V0QYHhznz213DTCd0XvvMryAUQlzz95U2qew0h73c/MIuPv6nw/zLgwPc/I5P0Pb1jzrKgg7LFlVVLwdux1AT3AJ8EVgLfAh4RQnrdwI/Alowsuhu1TQt7/fKbB1yC8bv2oCmaZcv0iFUnqVwcE5qyjNo2zlLGmAp0uNpjp5SIpqLylDcOI86IpNWODFeZI0CzHUiIhQx1pmcx75KZLKU6OyhEvuaWTl2ZO7rVITKZxiVLYKlaZrUNO0WTdNO1zQtpGnaBvN55d1MB4cCTMWT/HrXEBeEZuje+QDi1W9BhEpXsTqVaI14ufnqTgCuezpG31s/Br1H0L/3lbJ2R3dwKJFbgNdrmvYSjAbDAFuBC0pcP4Eh874BuAh4n6qqp1sXsKjjvlLTtDOA5S0rWvkxx8lNpSN6DsuT2Zo42+E6OeuKTnbcrZ0kFjsSXWhfZdkLoKrqVYXe0zTtz+Wyw8FhLvxu1zCTMZ3XbfsprFiDuPSFlTaponRU+7jp6i4+eddhrjsU4jOv/UeatG8hf3kb4jVvrbR5Dg5WujVNS6mxpH5RY5T4u2cKMvWaj8dVVd0JtAPW4sP/A9yR6rWladoSVKJn44zxK8hSzN4vltLfqUYgWLxn03KihJS9LET6P4dyIgQiXFW279Bypgh+P+d5I+AFeoDnT0GLw0nDdFznV88Ns0kZZnXfTpSPf8np/wR01fi48epOrrvrMNdNruYzl19Dwx9uR2/rQrn4ykqb5+CQYoeqqi/WNO2PltdeCGyf64ZUVe0GzsOIgFlZB3hUVf0rEAG+pmnaj2zWfxfwLgBN02hoaMhdpGSOhSIoEwr+QGEJ5kIowSC6Xr6aHEXMz85y49g5d0IBL37FPgqzGHYqoRB60e5IhfGsXEv8wJ7Z91Gh8+kOh5ECknG7vnD5LIfr7qptIDlcvGHycrCzGO72Fbg8Hpoa63ApS+/gls3B0jRtpfW5qqou4FPA0iWhOjgsgN/vGWY8muS1T/0UseVqxKr1lTZp2bCy1s8NV3dx3d2HuS58OTdv6KX+R99ANrUiVp9WafMcHACuBX6rqurvgICqqt/FqL26Zi4bUVU1jFHL9QFN03Kb/riBTRhtSALAQ6qqPqxp2m7rQpqm3Qrcaj6VAwPFByrF2Ho8hjfgYma6tMFZFoob5rPePPEH/POzcxaaPQn64wsYvnStgsP700/t7PQISXyJJajnyqKcz5q6PCGHyyIzPDDhm5Pk9qQeZ6aAHPqi2LmA9aOxBLKE9Zfq/pyViUmYmcIfncLF7PVSFbPTSoNn1muyLOwsxsQkVZFqhgYHFqQC3dbWVtJyFUsC1TQtCXwG+EilbHBwKMRkLMkdzw5y7vQR1ieHEa99e6VNWnasrvPz6Ss7GY/pXL/q9Qw1rkD/1meQS9Rc0sFhLmia9jBwDvAshqjSAeACTdMeLXUbqqp6MJyr/9I07Q6bRXqAP2iaNqlp2gBwr7nPJSGe1OfeBDWL4usGFZ21wcVNWat26RAMz2GFmlkXCSmSLm+8tO3ZHLLw+mZdbVNojmlfs9pR/NxHXPOL1gDgK3A8tg1VC+RH5b7sWbz591p3/j0VVBZwvGVEEUuQT2amCM6pTUCJRJrn31pWVFB5r8ZVvlTZcrXYKWeKoB1/A/OMATs4LCF37hxiPKbzpmdvR7zxnYiFyqqeoqxrCHD9lZ1c/+fDfPq893DjfV+k5ls3o3z0Cwjf8k0VcHh+oGnaUQz1wDmjqqrASG3fqWnaVwos9ivgm6qqujFS3i8Evjqf/ZWCx6XQ7EkwukTb14FIWwvsLX2SxCUkySKRj/X+GI/MxYhwBEZHii6iCOjyJGlobeSJQznLulxQWw8Dxwkq+rwbvZa8liJKk29XlKL1VmcFYkWauwLeIsqC7d1g1yzXbiBZwNalHFrn7rLZk1gS52Ip8ArJjPX+9nghHpv39to8CVLdz2pdyUzPuvmgCIhUZ39e/H5DQCO5yEPrEp2SOneyeLNxEwWJjsCv6MzoCooAVq23v48XSK0rafT4K3NAupwiF0fI/gwHAT/w3nLZ4OBQCiPTCX61c5AtA9tZtbINcf5llTZpWXNaY4Drrujkhr8c4cYtH+SGuz9D5AdfRXn3RxEFcvQdHJYCVVV/TAljRU3T3lLC5rYAbwa2q6r6lPnaJ4Aucxvf0TRtp6qqfwC2Yfgn39M07Zl5GV8itS49y8Fq9iRISsFAoUFNOFKy9HRIkSh2oxCbtDKALm+CFb4E940Xdgx8CqAXGNn4AzZS8PbfGWcEYjw7bTgZLiRCQHjlajp6t9JjbW7s9iBq6mmJjrC2u5l7txcQpug0qxZymjHPhVW+OPs9ddnnNxiybwSrCCgySZ931AJo6YDeHssLNthGqUws6nZhRWeiiFPT6klyLO42JMQXWT4818ktaIUQhVVcVqyBQ3vt32vthF7zOnesKGqLV8iFOTULjH54hMQrDLWdbl+CXTOegp+vWYlU59ljBNwWYGNdIwzZTLCUuMkOb2J2B8sfYBVjNLqTbJvypjcvFGUZdK9aPMoZwXpTzvNJYLdNTruDQ0X5+TMDxBM6bzxyN8rHbypbOPlk5szmIJ+8vIOb/9rDjZd/hE//9bOEf/0TxKtyP/YODktKgRHY3NE07X5KGFZomvYl4EuLtd/ZUIJhmMYYWFVV454eYJUvzkAyYq+61tQGE7PMCgeCdCVHafMm8SiSNk+CCV1hLGkMhUVDM7LIANA6eK926Ywmc4bQhc5ibUNmYJzC44GmVjjey1p/nD0zhgMRsqSUKYBo7bAf7JqviTWnIeoDUMDBSkXY0wO6HMdIqaqBieL1JK71Z8IE2ee3qRUO2t2GxSebbA8lFCk+4Kxr5LQ1bRydSNgWs0dE5vXMduy32OZN0rviLOT0BEyOU6VIUoOzaleSzpY6njk6v9ipy6aerdBxtYcUZnxhBocyQ8MGd5IBlwtcLoIyzpSuUOXSWeuPc6J9PUf0QHp7wh9kQ2OAowds7kOgpaWOw73D2S8Wcew8wmjgmlm2+LHmkTOJIEQmFS+9KYt41ipfnDq3zmOT2Wmfm0PRvNeQ+faIBSSFCUDW1GU7WCtWm82qc3ZUwBHLO+MeN8RzhHWEQJESt8jcB+mtm5/9NDW1MJJzvWbDPOcrq9wo0WmGZmncvVSUU+TinnLty8FhvvRPxPjf3cO8sPcR2l/6ckR9Y6VNOmk4tzXEx17Qzufu7eGmLR/k+j98mWBrJ8qFp07fVYfljaZpN1TahqWmuqsTdh2FQAj8QVzTEhcYs/g26TVCUZBenyElXWhwWF3LiknDgRLAan+CvTPutINVErX1iPomlANzCOC5bYYgQiCqapDHe2nxJNMOlhVFANV1IMCXWyMz24RYKnJlee6prUWJRZnatyed/iUK9Dbq9sXTTWlFIIiYmsk4C53dCLfH3nkIR2B4ENo74ajh9DW6k5ywzPa3eRJGFAnyPJAWn86oKwzTM5wTjPL0lA88HpoiPnonM6GxNf44e81zdk4owf0jbhrdSaYCERifMrZrEw0KKKkdGtfcL/S0g+Wuqka0r4Cj24wUzFSq4yzRrs2hKKNJhZgOh2KZe0kAK7xxds1486JJay4+H4CH7n44/V67N8GQYoSIq11G2meDO0lQkXRXeThiyZBrjXhoDHmYcSdtHSzsUte9PojaO9Mb/DGOJ1yZRsRz9bByI0wASOM+T71VUwd6EkaGaPfahzl9Hrdx72ZFXGW+pyqz92m9X4vi9eL2+4nnRJGExwseL9IqRV/fiKhtMJazOFnrgjqRWI5BbSvyGxoLQZV5v6U+ZSmLU5/9NNWGg9Xti9MXd5WWWmoef+eKVnC5GNo+j4bKi0A5UwQXM3XDwWFJ+M+Hj6Ak47zO1YO48s2VNuekY3N7mA9f2s4X7oPPXPA+PvXj7xBsakOsXFtp0xyeh5j9F98ItAHHgJ9ZemOdlHhcImuIF1AkSk1twfQalwIJc4X1Ydg1YXlTCOheY6SSpYI3VdU5UaUiP9st7TB8yNhUvVFcrwg4NxjlqUSRutVwlTFI83gzW0/VMknJxrYQ8pg5oPMHjO1b4gjWoXqrJ8k+6wByFgcrtza0qS7MptVN7Dzcx8GOFWDKexcq+PemHLq6egA6qrycUHQSUpD0BWzXibh0xmvqoKYO4XIjvV6IZdfxCLcHu3Pd4klwIuGiw6cz1bkWnn6YKpdMH6sQgpTi9JmBGLVuPe1ggeDi8Awu4MnUeZES4SngBIJRKwb4SYDhuuNSBH6P6QhKi+NZ10BDdIQ1/jgP29SPBRRJQEnSU78SpjCcMzPlscYtuTAc5YFxH3pbF/Qfhfrm9LqbQ9F0TZoELmwPkxiIcdQm+/L0pgDP9oZhcoLO6uwoT5bTap6zPIrcMz4FOr3JjJMiBKt98fQ9V+XSi09ECMEl4Rn64y72eRvwJ06kL3PaqVAUsESJRVMbgckBpi3OhIJx72ZdN5sIFlLPei3jOBfmjEAMuXYtA8LPicmEETUaHTGiV5bjyDu0ugakxcHq8EvGrbd150rjM26NDtfWQyyatiulXJklJrJqPRzZD3FTyMbrpdM7w2DCxUxdAwxlVFhT1yKrFjQVjZQ6oqENvEdgOsnpdR7WrKlndHge6ZjzoJxxsxHgVRif2B5z39eYr++z/HNwqAjP9E7wQH+cV/c+SONb3+30vJonF3VGuHZLG8/5WvjcWW9j+tufR57oq7RZDs8zVFX9IPAzYAj4HTAI/ERV1WsratgisqrKTZNHByFwFfg139AYTD8OKIYkd4qLIjGEy03WiEwoiIZmatzGQPqMVS3ptzYGZ1fWE0DEJaGxmJqZNGbGrbiM79uuiIew10XIdCJERzc0t6GsXJNeVBHSSKuyRgHSb85tWONzKQS9LhSBeS4yNtoun9qfy4OUsKrOz/mhGM2ewgVWEUVnS1dVZvuNrfkLFRjkr/UnuCQcxWO+3+DW89ZZVesnpOhU5SgRCgFuYWbABSNZx9V22mpsMa9LfVMDnV4jtSvkUQj4TQejthEaWxBda0Dq+BWJZ5agjvT5EVU1iFAk71C3RKLGPbdyPaIqoyDpsiwTUSRej5uAAl2+BI3uZOZ8u9w0BD1Gvdqq9cze3mhuDlYeikKbNwnN7YAhTnJpeIYLQ5YIWE0d9RblRJcwUjDPrjGun5AybcYKb076nOKC6hrODeY44CkHpKUj86JNWqOU2V5X1qehvdP2kCIunYZA5t4XDS10nne26fSbr3m8UNfAen8M/MGs9WvdSUMtNEV9I2LNhsxkRlMr1DfC6tOMiRjLRERKYTI12vIoAqEotPgkZwWi5u1qpv12rUTUNRoOmEmzJ8llkRkarEqVqZTMoex2GIoQeAp9US4B5azBWge8XNO0+1IvqKp6KXCdpmkvLqMdDg556FLy/Xt20zAT5dUv2OCkBi6QS1dUkdAltzwIX+x+FR/7+s34PvJZRMRRY3QoG9cCV1lFJ8xMij8BX66YVQvFMhZsDCjpF6t8LlLzslb1PJ9LUOWGMdM3EsEQq90K/plJvKnRqHVUKgAhaHDrbDmrC3dzKxw0ksVyx6E1PiXv9dTDs1Y0EuqogR02qvjWcWHnSmMDE6MwNIjLkz+xJTxeRGMdxtwsuFaty3yX1NbD+CR4vNTW1zAcqM7fn4U1dX72Ds1Q43cxMpMZlCmWg2j2JMAbAozBb7UHRs3J9Bp3fuqg6FyJSAYgCUGPQr03zuFYdlqWyz3LhJ1SXCTbo8Dlq+sZ3mMZkJvXLexzsenMFTA8hBwZtFpm/L/hbDiWXZ+3qq2eY89l5rTFmZvghG5EQleuRXRU0T3cS7VLpzZgSFuLNRsyG6jxIaSNw925ErfPC/19pKqXXDlpnOnIzZkbYXwMMZM9YAeMvpNPH7IeJiDwCDgtYJHoN+XkhTA8SW/OADrvnObcxB4hSW0tSwCjoQmmpsipwILmNkSgChGrQvYfTX1c8KY2G6lGNDSzPnGMBydcWD+wNd5UlDnjBDXWVzEYdHNiKmFEfFZWI7w+POtO57I9O4jpoIQ8pIwU4QgyEDTrLW3uGN3+XBdDmP+trvNzYtIIcfvd+Y7IxeesZHymE3Ei+5ycmb4eZvSwpj5zzH4XIzNAbQOXrohw/6FxoxXDgBElX+NLsMKboNeMMkrzmNzCiHKuqvYQnkxCjPSkt120fqUvgUeQLXhTYZGtcu79IuDhnNe2AheX0QYHB1vufmQ3+5NB3sJ+Ahc7NUOLwRUrq3nvhS08WbOWf228mtg3bkIWyHN3cFgictUG9rO0itRLT7gaxeszZoRTFBFfy0KAOGsz7etWU2fjKKQXMklFEQI2g61LwjPUFCntqAt6aAkVWiBjrPD5jb5UtcbMdE2okCKhxS7LsYt1Zxoz2p0r8Ta35ESh4DR/diQg4nOxpStCbSB7uWp/jgPUuSrdqyl32RSpgb9o60pHZ5rDHiOqiFFjlbazQJSk05swZvHF7MMxr1vJ9g8US9Shqc2oV7EgLI5J+vxJSV3AjSsn1CNCYRqDprPicpNKRK1167bZHOm127NV+7zBAEqkms613QhzoN0azF4/faQuN6Kl3f5gU/sMhRGbtuTv3x9ErFiN8Oc7Zym7gezIRnq/GXviUhgOgcfDhWGLw+gLYBcOEy43oq0r+7Va4zizoljpN00nd+Va+0hZJDMhkP4sgBGpAbwK1HrI+oCv7ioyAVyVPcGQ7bZn9u+1OL0CY/tel0KT+Zm1M9XrUlAsTkvE56Lbl9+PLnWvX7oiQltVJlKtCEHuV4kijDTMlDVp0YtACICOmgA1zcbxKkUUMz3CcLI2W/vXmffQSr8RYQt7yutwlXNvTwKfVVU1AGD+/QzwVNG1HByWmMmRUW7bOcH6yaNc9vpXVtqcU4oXranhXZubebR+A7cEzif+3S8hE4nZV3RwWDifBr6vqupaVVUDqqquA24FrldVVUn9q6yJc0e43bhXrzcGY5lXsyau06k99U1IoMVrvBnIHScLgd8tsgf3QhiCDJCuf8rsJYO7ts7WvpIas4YieS8JIbioq4oqn32kxzrgU3JGf0JR8lpCpByEoJI/o5/rXACEvS7W1lucO5eLjcEYm0JRWuvDhsoggKLQ6E4ihOFM5SIx6l4ui8zkNQ8+oyn7fLbUBOj2JdIRANHUBm3ZaVxiw9l5+0i/lyvYYJ6XrlTaWeo8icyM/7qQ5HTTjqyIFMaA2Zaq/Kig2zyHiRyHNuBWuLi7lpW1vvQNY71eHR3NdOSmxZl011rqp4RRh3VejUDYiaF4PAhrulwOQfMa1Lhl9mQEQNeq7OdeH2LFGkrB58q594Th5ItV67PSGkXuA6Gkr0d3yLhXDSentPke6wRKJOUo5M6qNLWyuin7s1WoButcS7qv4WAZ92oqAOgqMCGQsHzRnNcaoquqcH82RQgagh42t4c4r9X4/JzfHuHC9sKNx1OHJDq6EKefh/D5jAmMTZdwWmt+BkyulQFFEmxpYY0/no5ghV1wdjCG12aiaCkp597ehtFXZFRV1X5gFLgUeGsZbXBwyELqSW77xT2MugP834vaUcL5P/wOC+Pl62t5x8YmHmw6m2/HV5L8wVeRevm6tjs8b/kuhsDFLgwx7eeAv8dwsuIY+V/5068nFakBtFmD5XKBx0N30BylhMOEPAotfqP2KjOBmxmWbGoLs6Ur+3tPNLUhzj4/XRMj7QaB686cs7VnBGKwKrvWZj7MXmdThFLXFUa0KKhIxIrVacVD4fFwWiDOZe3BrKiU7Yz/6vUQjuBfexoA9cGUQ6ZzcXiGWl/OEKypxVCHNAl7FXCVoACXNsL4s8KXMGrtUjYpIm1gxKXnOagpCsY0TQETq/MbNG+mgI3DEfa5jXOTcnot3/erT+vGHbAXA2mPZA/WA4o06vlsjSrtQoqmNkRtA2BIoNsvZP7pXpgYk71FllfNSFdTUy0vaPEYDlkBtcpiVNVWG/VJlugXbjdEqvMmKNwC/EquVp+RKkznSsO5hHRq4cpaP901PhpD9lFbT+6HzyYNryHoZpXFWQ56XGnn3eMS+GzSgFM1a6tqjUmDuqA3q6RAuD14XQo1uZHmHER9E5tbA7R6kmTURBbyhTF/yinTfhC4RFXVTgxFp15N0w6Xa/8ODnbsuvPX/N6/npeGJ1h39gWVNueU5ZoNdUzHdX7KZvw9D/DO//g6ytv/2REScVhKVlbagKUiPSkuMi+c1hBg+PyzaQx5YNtjxuvSiAwV66vqUgQoLsvg2kxpCmRSrySYERzLrLewrxmy7kqkBoCRaojFqHHN0Frlo28iTkeVl56xmM0WZkeU7CXlO2Mlr5mO/ojs76m2LoTiKlynm5LJlpLmtkZcNTXU56YYpoTerINTMxojhKCl2k9HRxPe5hAgDYc0N+pSCr4ARKMgBNJrDFxTqWcAa+v9iJ7MNWgJezg4XFjI5IymAA8dMWp0qv1uzm0NEZ4qcg1DERi0a1prnls9X5SjKGtOQ/QcMu7FVnvBBjsUAclwFe3iOIeEIPcDsaLGx1hCIJrbYPcJQ7JdYKSYlZpQLLLvSmF5HTDUG6tqEWbbEjlu9hQr4mCJszZBIgFH9yMamjinJYhbEQivi7otL8B7eJzYJdsdzQAAIABJREFUdEqdr8Hi8Bt/zwlGcRU4p4rLbagS1jYgpkbTjr1bEXTV+OxXAkJe+7iMOHMTHN4NwOlN9mmbmYXzX6pySV7QbThULRFPwUmAWelcBZNmg4EKJ4OXU+QCVVXrgSuAVk3TvqiqahugaJrWM8t6ncCPgBaMSZZbNU372lLb63BqE39yK98+UUNdKMabXrax0uac8rz+rHqmEzp3soXAoT/z5h9/G978vrzUHgeHxUDTtEOVtmHpybTp9LgUmsJGBEC6XNjHI0TWH1vswkMSaO1EaT8N7n28qEXW2i4lEES58HLEwTFkMIzSFYZhY0Ae8Cg0htx4FIVjprZzsTGVdaBYKIJlXT8Vdct1A0set1mjU1mvGyqLeYtbH599flrJrCFoE4GS0hQWEIbDEwgag/tBY53w+g0E06lXAjacU6rR2U87uhFDJyAQQngmDGW3hkyErDXiRfdkrpfXpRD2KkzEjNdEY0uWAmzuoLfK50K6qsFdIMrW0oHw+qGugQ3+BIFUCDX1nS/nFr0RVbVweu3sC1qpqWNjOMTIOJlWBJbjqHElWVHjy6TVpnPUFCMqZAa92r0JjsaKDJmlRAho80NTSxAx7Dfi5i4FkuRHelJ1YMUcrKCRSufvvJKJkRGqc86/ogDSiMzVN7hxNWen3lXlRP82Nvt54mj2KRCRKpSzCteduxRoDXsZmp4ltX+e/pBYswGCYaNPn8m8nau0HRmnNv+98lHOPliXA7cDj2GkCn4RWAt8CHjFLKsngGs1TXtCVdUI8Liqqn/SNG3HUtrscOoijxzgzj88wqGuv+ETW5oJecs61/C8RAjB285rZDqucwdXEdj/e15727fhTf/oRLIcFh1VVauBfwbOA7JGHpqmvagiRi02skAKzNozIHY0XTBfcGRhdSLc7oL1kd21PnYNzODNVcLLqY05uzlIVb/9gFEIkTeZkpKQPzY+eyTLmo5nV0OVSzyZcrDmyRwHeT6zvsPrEgh/IK9+LYuUg6UoiDWnL3TXhVcMhdNRxIwrXvrGxar1sHJd8WXcHth0Cdy11dy+1RyRrn9qtAqerFiLOLQHAtmRjqUY/4raeoJAICCQNj20zgrGC++5ph7hUZDHDtPmMR0s66KNLYiVZpTWdBbXRATC70aefi7s6odwFSIQgPqctgUWoY3ZDlx4PLYiKS4hoKqayFA/gfo6hE2NkWjpQDk6AVMzOdHlKsLujDNtx6UrIqZKoiATP821Yz5XzfK9kzovgVmiXrm0tMPocFZ/PGODmVq39PdjhSZxy7nXW4DXa5r2ElLap4aK4Kx5WZqm9Wqa9oT5eBzYCRSQnnFwKI4c6Ofwd76B1nEFFzd7ubB7jjNiDvNGCMF7Lmjm8u4I/7Xqpfx2/wT6rV9Cxk/yUhiH5ch/Y2RM/Bn4ec6/U4MC0oHC50PUNRReLzUAsQoUpAd8+QOm5rCXF3RX5Ts2Of2cCvk9hdKUiiFq6hBVNVk1H00r2qG9q8haGdrNCJCrtt5obGySK+Nd2ABLimAJ9rdGvJzZHKQlUrjoP00wiOL1QGtpx5Jl1hnnFX6zWG3bPMtRZqszS9PUCi0dhYUyrNuMVCHO3JQ3sZbtRCxNuEHYfWayQp+ZE1Ub9BgS/GtPR9rYI6prM/WENfWGs9ncZrzn8xm9vxQF0dqZ7yDV1BtRyzmkOuaiCBD+IMqmLYZTn962IUAjauqhs5u8zsaA0trB2S0hNrVlIpr52xd5dheNMtfUIzpLyMxehJooEa4ynKy8N8g4VKndpCaaknOvd1sI5Zy279Y07W7zceoOj83VBlVVuzFmJLfavPcu4F0AmqbN21CHUxc5Pkb06zfx1RWvwe/z8K4tc/+Bc1gYihC8/+I2ZhJH+T6vwv+cxtXfvAnlHz+e/SPh4LAwLgLqNU07Zb33vDqPggsWeN8qexwMG/U6Jcz2puTHc+uwCpU8nNsaYnA6UVCqPG2m9fH6swC4wKJadtqadtYVqatIKZ+d1hCg2m+KUqw9A3FkHLl3jMsiMyglKmQIIQwJ8tqGkks56grIuVtpDnvonwCx8ZISt5pjV7iqoD3C50dceDn61nsKrz+vvc5OytHoLlK/sxww+tYWK8wzzu4lHSFcphiHUbe2M2uV9iovRy01hMLrMyJ5JSIUBVKiGhNTxRcuQMjrYiKmo+f2vqquhepahFnTlPrcWZ1ExeNFAdzeuWWPFLx/JHjP2oQYGCi0RJkQUFWDaO3INGVOOfJzTEldKOV0sHaoqvpiTdP+aHnthcD2UjegqmoYI83wA5qmjeW+r2narRgKUVDx8jaH5YaMzqB/40Z+GjqHA6FWPnFJe0k/iA6Lj0sRfPjSNm7+aw//xusI7PgJl3z5Uyj/71PGj4ODw8K5H9gAbKu0IUtGoRTBQqSW8wUMZTXr7PnKdYjaoSxxCzsui+T3+mn3JNhFRlkul5DXRcgcyM31h9kaNRNCFI2Graz14XWJLAW0uSgOBjxG3U1IMWXTO7qNN6Q0BBvGRrOiYfNhXb2fNXWFen0tNpmDL+iUnXfRnLcWLiB0ALlRqMWgtDvm7OZg8SVF9n2UTpk8a3N2JM3jhXgct8eddSwpoftUT7jVdX5Wl3AdC30mFoM1dX6qfK78Hm65tHbCwECm1UCFVPVSFBLImceWMoeiuAy1SsWMunWtti5mUFKzwMWjnKPLa4Hfqqr6OyCgqup3MWqvrillZVVVPRjO1X9pmnbH0pnpcCoiZ6bQv34j20Ykd55zGS9ZW8OFHY4keyXxuBQ+fnkHN/z5CF89/f/g2/FjNn32WpT3fRJh/XJ0cJgfbwP+R1XVrUC/9Q1N026siEWLRGrgN99hinC7Yd0Z2a95vNDYMq/tNXp0ms3Z8tnmiMNeF/3EbZsXz5fN7SFcQuCyUUBLD8BWrEGsKNx/B6DG72bj5g2EE9M52xBGI+E1G2Z1QGejmJPYXeNDl6SbvRYj4tLR5zB4L+hgee0jTrYKkUJwTkuQoI3M9qKTcgZqi6S6WqgpcbLU+plxVdcZcuVWmttgZtr4PFjwKXB6IEZNY+nX/9yWYEbYowjzzVxzKYLWElJS2+vD7MGN361w7qYNjCbn/9nL882qqmFqorDQyVKSZUymyjB/uVS7gPJGsMpWg6Vp2sPA2cCzwA+AA8AFmqY9Otu6qqoK4PvATk3TvrKkhjqccsjJCfSv/Asjh3v4+sZ30F7l5R0bm2Zf0WHJ8bsVPnVFB911Ab505lvYFu5C/8LHkI8/WGnTHE5+PgN0As0Ygkqpf6V1FD0ZSI8V8wcVPpegq7qEeqAy017lZWNrqMCAeH4z60GPKy0ykUtKkUx4PAWdCSuRcNCoXakAHpfC+obArCIeoq6R89rCbC7SsLXgugsMXlT73XjmU1Q3R4Q/gDj/MsQ8nf78DabDGMafVetRbGp4hMuNt8o+Slnv1ud07FV+N54Sav5aIoZzsq5+aSKbrRGjhtLjUqiuraKrYe73TUE6Vxk983yVTQ1NT3zY3eC5ohdloiwRLFVVXcDdwIs1TfviPDaxBXgzsF1V1afM1z6hadr/LJaNDqcmcnwU/av/QrzvGF/6m+uZiLq5bktbwR9jh/IT8rr49JUdfOquI3x2zRv4aPgPnPedzyNe+lrENX+PcDkKgw7z4g3AOk3TeittyFIh0ymC+e9d2Ll8I/ThEoQQHAoj1uYrD9ovmKVbb7y0+OYsGKs0vJWFtvAQWSqXOWINisJpzRFIZksLXrqi/J+bhqCHF3RXIAI0D/I0BBVl7gqACyDsdTEyk8x/Y/3ZiOkJ+xTVXOe6TJTFwdI0Lamq6krmGTHTNO1+luf3gsMyRvYfQ//mTTB4gh++8np2Drq5dksrq8qW/+5QKlV+Nze/sJN/+fMRPsdL+Eh9C5t//xPknh0o7/xQcUU0Bwd79pPuYnNqcXZbFduik7isPXuKUcaaC7H2DEjO0jOnAHOplyo3Ya+SViY8GZFLPLg8uzlYkny+7botIaKJxU3fEuecDy67HmTGn65qL121AQYGsh2sBfVgeh6wWDV2IhRJKy7OhZW1PppCHp7onUx/rwl/AOHxgKdA/Xa6sfUp6GCZ3AD8m6qq1wM9WFxJTdPKmxjpcMojdz6N/p0vgKJw95tu5PcHFF61oS7dKdxh+VHld3PT1V18+s9H+MLwubz/9Su59M6voN/0fpS3fcD4wXRwKJ0fA79WVfUb5Ndg/bkyJi0ODSEvZ7eEkEcHjB/S2dKQlnDQKLrXZtU2LGQyZL4D9FJoDmcPtr1mqpfXXdo+N7YtYlpVRVmac1xqDZQdbkXMWc1uNoQ/J6ri+E3LCnHmxvmtJ0Q6Ai6EMPrIRWYZ153KESyT75l/30J2NZoEnHwBh0VBSom85/fIn94KLR089YaP8p0nJzm3Jchbzm2stHkOsxDxubjx6k4+c08PX+mHgTd9jmv++DX0b96EuOxFCPUd+T+cDg72vM/8+9mc1yVY+mYWQFXVTuBHQAuGdsOtmqZ9rcCy5wMPY/R6/MW8LZ4rSTNVZrZG3UvYyFvMYxa63NhNrDWFPAiyFQdPZRxZZZMy1+E4LC2ivoRxXV0T9B2FqvIqFC/5N4uqqi2apvUBJXQfc3CYP3J6CnnbvyEfuQfO2sye1/wTX7jvOCtqfHz0Be1LOjvqsHiEvC5uuKqTrz3Uy4/2jXPixR/lH3r+hPK/v0TueArl7e9P98hxcCiEpmkL/c1JANdqmvaEqqoR4HFVVf+kadoO60JmjfEXgD/abWRJCZlRldmkw9ONN5fnd6DXJYglyzvwFULQFD456l7mizWdq6PKx6GR6KzBzlOWHOXNU9nNurAjvOgpl8uNM5uDnJgsLQNcRKoQF16+xBblU46pm91AlaZphwBUVb1D07S/K8N+HZ5HyIN70G/9EgwcR1zz9/RseQU339VDbcDN9Vd2lkdW1mHR8LgUPriljcbQCe7YMcThpiu49gMXUHPbV9H/9ZOIF74S8eo3l6QK5uAwH0xxjF7z8biqqjuBdmBHzqL/hNFCpOw5rKK+CcLVsyt4LWEEazHY1BYmUeb6iOcbK2p8rCihCXBntY+dJ6ZLkhc/GfGYE62n8v3mcyunvJBXXcC97PuYlsO63CmzK8qwT4fnCTKZRP7xDuSvfwrVNSgf/iyHGlZx/Z+P4FYEN1zVuaDccIfKoQjBW89rYkWNj29t7ePaMTcfeu8XOf2enyHv+jVy22Mob/pHxIZzKm2qwzJEVdUq4NPA5UADlt8iTdO65ritbuA8YGvO6+3Aq4GrKOJgqar6LuBd5r5paFiYaIvb7Z7TNuKjgyRmxnHX1OBZ4L6nqwyVtUAJ25mrnZXiVLMz2tKGPjVe0jXKpaEBNqyYj3UZluP5jI8OkpgaQ6mvpj8Roa0xNCc753LfLzbL7XxGBg3nNNem5WanHeW0sRwjz1N3msChosieg+g//Doc2ovYtAXx5veyZ9rNDXcdxudSuPHqTlpKaMLnsLy5YmU13TU+vnDfUa67t49Xbvg73njORXh+8m30r1yHuOgKxOvejihzfrXDsufbQAdwI3Ab8CbgwxjRppJRVTVsrvMBTdPGct6+BfioqZRbcBuapt0K3Go+lQMDA3MxIY+Ghgbmsg05PoYcG0cExhAL3Lc+Ng7AZAnbmaudleJUs1O2d8P0dEnXaClYjudTjo4Yn4GacdbWhQkmJ0kkgiXbOZf7frFZbudzfNw4FwMD2fGT5WanHYthY1tbaXWn5XCw3KqqXklm9jD3+Umv6ORQXmQsivzD7cj/+QUEQyjv+Shi0xa29U3ymXuOUO13cdPVnTSHHefqVKG71s+XX9rND584wZ07h3gkEuF97/sipz/2O+Tvb0duexTxd281hDAW2DvF4ZThRcAGTdMGVVVNapr2K1VVHwN+A3y1lA2oqurBcK7+S9O0O2wW2Qz8zHSuGoCXqaqa0DTtzsU5hEVCmCmCy7QGy2FxEW4PRE7t+rL5I50+bA5loRwO1nHgB5bngznPS1J0cnCQUsLTj6D//Hsw0I+44AWIN7wLwhF+89wQP3jiOO1VXm64qpP6oPPjcqoR9Lh474UtbFkR4Vtb+/jkX/u4uPNy3vzhy2j55XeRt30b+eDdKG96L6LT0dRxQAFGzccTqqrWYNRUrSllZVVVBfB9YKemaV+xW8YqpKGq6g+B3y475woyIhcODs9bzMkFR0VwUfA4omGzsuQOlqZp3Uu9D4dTH9l/zHCstj8GrZ0oH7wJseEcogmdf3uol78cGOPCjjAfuKTVEbQ4xTmnJcTXX76SX+8c4vYdQzzSo/PCy/4f11ywh5Y7/x395v8PccXLEK94A2I2dTWHU5mnMeqv7gbuA74FTGAIL5XCFuDNwHZVVZ8yX/sE0AWgadp3FtXapcQZCzk83/GYGS0upyZ7oZzXGsJXYv+45zPOneawrJHTU8jf/wL5pzvB7UG87h2Iq/4W4Xaz88QUX3+oj2PjMd54VgPqWfVOF/bnCX63gnpWAy9aU8PPtg/wp32j/Ek2seWVN/OKnntZ/ZfbEQ/9BfFy1bhfPE5E83nIO8m4Fv8MfB6owejFOCuapt3PHFwTTdPeNkf7KsDifD86nyeHk47mNkO2vr6p0pac9EScFMuScBwsh2WJTMSR9/wB+dufw8SYIWTwmrchauqYiif52eP9/Pq5YRqCbm64qpNzW0OVNtmhAtQE3LznghbUsxr49c4hfr9nhPvE+XS/7AL+pv9xXnDnTwn95XeI17wVsfnSrL4wDqc2mqbttzw+AfxDBc2pLIuYFSXO3ARep77V4eRCKAq0tFfaDIfnEY6D5bCskLqOfPwB5C9/DCf64LSzUV77NsSKNcSTkv/dNczPtw8wGk3ykrU1vPW8Ricl0IG6gJu3bWzidWfWc+/BMf537wj/Ht7If152HheP7ubSX/yGs/9wJ76XvxbOvdARwjiFUVV1ExDVNO0Z83kjhtrfmcBDwIc0TZuooIknNSLV3NjBwcHBoSCOg+WwLEgLWPz253BoL3R0o7z/ejhjI5Mxnbt3DvG73cP0T8Q5sznIJ89tZH1DoNJmOywzQl4XL11Xy0vX1bJ3cIb/3TvCfYc2cE/VesLJGS788zYu/dO9nHXFxbg3XYJwO1+BpyC3ADcAz5jPvwe0YcikvxH4IvDeyphWIUTOXwcHBweHJcUZXThUFKkn4YmH0H+nQc9BaGxBvP39JC+4nG0noty/tY/7Do4RTUpOawjwnvObOa815KR6OczKmno/a+pbeOfmJp7sneT+g2M84N7M3VKhascEF2z9BZs7qznnBRcQrK+vtLkOi8cGDFELTOXAlwJnapq2W1XVXwMP8nxzsBpbEdNT0Dan/soODg4ODvPEcbAcKoJMxJGP3o/8n/+Gvh5oaWfgLdeyveVsth+f5rFf7mcipuN3K1zWXcXL19Wyqs5fabMdTkI8LoULOiJc0BEhmmjlsaNj3L/tCA+4z+CuKQ/u/+nljOQzbGwLcdY561jZFHHEUk5u3EDMfHwR0Kdp2m4ATdOOmE7X8wrhcsHKdZU2w8HBweF5g+NgOZQVOTKIvOcPTDzwV/bJCHs7zmff5nezVw9x4nACDvdT5XOxuS3MJSsinNcawuty6mUcFgefW2HLihq2rKghnpTs2HWYx57ey+MxP/9xIgx3HSMsY5wR1jmju4l17TWsqvXjczv34EnEs8DrAA14A3BX6g1VVdvJ9MZycHBwcHBYEhwHy2HJmZqaYf9jT7F31yH2Tkj2hrvoPefa9PsteDit0c81DQHOag7y/7N35vFxHFXi/9Yc0ugYWbLl+3binOQiF2wOAmwggWXDtcXxA7LAEmA5FxYSjrAsLBBIgAAbCCFAYDlCcd+Q7AK5DyeOHcd2HN+2LOs+ZiTN3fX7o3tGo9FImrGlGcl+389nPjPTXdX9qrq6u169V69WNdeKBUGYcYJ+xVmnreas01bzFidD95aneGrzMzzVn2FrfAWPDIdgawQflpW1DicuamT1wjAr59Wwcl4trfUBcVWdnVwL/FZrfSuQAS7O2/ca4IGqSCUIgiAcN4iCJUwr0USGPf1xdndG2bO/k92DaQ6reqxqhvpmWusTnLiogb9f2sKJC0KcMD8kayoIVUf5/Cw66yxecNZZPN9x4MBuep/czM69neweUexuWMaG6Ar+72AslyekLMsb/ayY38DicA1LGoMsbqxhcWOQ+XUB/LLSfVUwxtyvtV4FnAQ8Y4yJ5u3+PXBndSQTBEEQjhdEwRKOCMdaeobTHBhMsKcvzu7eEfZ0D9OVHO1ULowPs26kk8ua/Kw7aQ0nnnkyLQ21VZRaEKZG+XywZj2ta9bTCjwnlYT9u7C7tjN4oI2DvUO0xRVt9Qtpq1/M1u6F3Fc7D0eNuhEGlKU15GdxUy1LwrUsagjS2hBgYUOQhfVB5tcHCIgCNmN4StXjRbbvqII4giAIwnGGKFjCpMTTDp1DKTqiSdoiSQ4OJDjYP0JbNEXcGe0gLo31sD7axoujh1hXm2bd2mXMO/8cOOFCd4K1IMxRVLAGTjwNdeJptAAtwBnJBBw6gG3bC507SHYdpqd/mM7hFF2BJrpCLXTWzacrNJ+H6lqJBOvHHNOHpaVGuQpXOMTCxiCt9UEWNQRZ2BCgtSFIQ9AnLoiCIAizALX+dAjJ0jBC6cwZBUtrfQXwFcAP3G6MuaHKIs15Mo4lksjQH0vTO5ykLxKja2CYzmiCzuEMHUlFxBmrHM1PRFgx3MELR7pYMdzJShtlzfw6GlauQp13Gpz4ElRjU5VKJAiVQdXUwtr1qLXrAQgBK4Dl1sJAH3Qdxna1Q38P9G0n1tlPz3CSnphDd6CRntpmekLNdNc2szPUwkO180j7xj6O65TDwqBDa53fVcDCdbTOq2N+Qy3NIT/NoQDhWr+4IgqCIMwwan5rtUUQ5hhzQsHSWvuBW4DLgTZgg9b6N8aYbdWVrHys40AmA+kUpNOQ8b5z/9Oj/1Mpb3sKm85Pl4KU+/tA0s9QGpx0hnTGIeM4ZDIO6YzDiPUxYv0MWz/DBBgmwJCvhn5fPf2BBgaCDWPcmgB8NsPC+ACL431cGOtjUbyPxZlhFodgWVMtjQtbYd0S1KJzYekqaJ4vo+yC4KGUgpYF0LIAdfKzctsbvM8qa2E4Cn090NeN7e+Bvl04g/0MRGP0xB26U4oep4bu2nmeItbCrtpmIjVpIDr2fNYStgmabZJ5KkWjL0OdD+p8lvqAoi6gqAv4CPjA71MEfD7326/w+3wE/D6UT2GVD3w+UD6szw8+RXZVWuvd3jb7Q8FJYUU46MsWOrc996OuAbVg4QzUsCAIgiDMfuaEggVcAOwyxuwB0FrfCVwFzIiCZTdvwPnfX4O13sfJ+13sU2R/OpWnLKVH/2cy0yrrree8k+3z1rp//N4nOD5dvZOkgRQNNk0LCVarCPNVHy2+NC2BDPMDDi0hPwvmNRJomgdNp0G4GcJNqECRAwqCUDZKKWhscj+r1uV0Eh/Q6n1OwVuAeygKkX4YHMBGB0kMd9IzlGQglmYwnmEgZRnMKAZsDQOqlkFfiDZfDTFfkBF/LTF/ras4HRHW+xTn00/cyumDeyYu53kXo97+4SM8tyAIgiDMbeaKgrUcOJj3vw24sDCR1voa4BoAYwzLli07srMtuwquvOrI8laY71dbAEEQKsYJ1RYgxwuqLcCc5ojfTdN8jEogck4vIuf0InJOL3NBzkrJOFdWzyzmgzZueNUYc5sx5jxjzHlenhn5aK0fn8njV/IjZZl9n2OlHFKW2fmZY+U4FjlurqHIKXLO5o/IefzJOY0yTslcUbDagJV5/1cA7VWSRRAEQRAEQRAEoShzxUVwA7Bea70WOAS8Fnh9dUUSBEEQBEEQBEEYy5ywYBlj0sC7gT8D291NZmsVRbqtiueebqQss49jpRwgZZmNHCvlOJ6ZK9dQ5JxeRM7pReScXuaCnBWTUVk7caQoQRAEQRAEQRAEoXTmhAVLEARBEARBEARhLiAKliAIgiAIgiAIwjQxV4JcVByt9UrcZaaWAA5wmzHmKwVprgI+7e1PA+83xtxfaVmnopSy5KU9H3gYeI0x5meVk3JqSrwmlwG/BvZ6m35hjPlUJeUshVKviVeem3GXj+4xxjyvknKWQonX5UPA//P+BoBTgYXGmL5KyjoZJZZjHvADYBVuOW4yxny30rJORYllaQG+g7u8Vhx4izHmqUrLKpSO1voK4Cu4S8rfboy5oYqyFG1jWutPAm8Dur2kHzXG/MHL8xHgrUAGeK8x5s8VknUfEPXOmzbGnKe1ng/8BFgD7AO0Maa/WnJqrU/25MmyDvgE0EyV61Nr/R3gH4AuY8yzvG1l15/W+lzgDqAO+APwPmPMtM1TmUDOG4GXAUlgN/BmY8yA1noN7pz+HV72h40x76iinJ+kzOtcJTl/ApzsJWkGBowxZ1erPid5DlW9fYoFa2LSwAeNMacCzwHepbU+rSDN/wFnGWPOBt4C3F5hGUullLKgtfYDn8cNJjIbKakcwH3GmLO9z6xTrjymLIvWuhn4OvCPxpjTgX+qvJglMWVZjDE3Zq8J8BHgntmkXHmU0r7eBWwzxpwFXAZ8UWtdU1kxS6KUsnwU2GSMORN4E27HXZileM/nW4ArgdOA103w/KsUk7WxL+c9g7OdxNNwIwCfDlwBfN0rU6V4vifPed7/64D/M8asx32XX1dNOY0xO/KekecCI8Avvd3Vrs87vHPkcyT19w3gGmC99yk85kzIeTfwLO859wzu+yfL7rx6fUfe9mrICeVf54rLaYx5TV47/Tnwi7zd1ajPiZ5DVW+fomBNgDHmsDFmo/c7iquZLy9IM5Sn3TZQZPHj2UApZfF4D+4N01VB8UqmjHLMekosy+txLXAHvHTHynV5HfDjSshWDiWWwwJhrbWN+T8KAAAgAElEQVQCGoE+3Af8rKLEspyG++LBGPM0sEZrvbiiggrlcAGwyxizxxiTBO4ErqqWMEdw318F3GmMSRhj9gK7cMtULa4Cvuf9/h7w8rzt1Zbzhbid1f2TpKmYnMaYe3GfdYXnL7n+tNZLgSZjzENev+n7eXlmTE5jzF3GjUQNrnfOismOUS05J2FW1WcW7x2omeJdPtNyTvIcqnr7FBfBEvBMn+cAjxTZ9wrgc8Ai4KWVlax8JiqL1no58ArgBcD5lZesPCa7JsBztdabcRej/ndT3ZD+UzJJWU4CglrrvwFh4CvGmO9XVrrymOK6oLWuxx0VencFxSqbScrx38BvcNtWGNeV1qmsdOUxSVk2A68E7tdaXwCsxu18dFZUQKFUlgMH8/63ARdWSZYxFLSxi4B3a63fBDyGO7rcjyv/w3nZ2qjcAJkF7tJaW+CbxpjbgMXGmMPgdtK01ou8tNWUM8trGdtxnW31CeXXX8r7Xbi9kryFsW6Ya7XWTwAR4OPGmPs8maolZznXudr1eQnQaYzZmbetqvVZ8ByqevsUC9YUaK0bca067zfGRAr3G2N+aYw5BVfT/XSl5SuHKcpyM3CtMSZTecnKY4pybARWey5cXwN+VWn5ymGKsgRwXUVeCrwYuF5rfVKFRSyZqe4Vj5cBD8xC98AcU5TjxcAmYBlwNvDfWuumCotYMlOU5QagRWu9Cdd6/QSz0Bon5FBFtlXda6JIG/sG7ry+s4HDwBe9pNWU/yJjzLNx3SvfpbW+dJK0Va1nz+X4H4GfeptmY31OxkRyVbteP4b7fPuht+kwsMoYcw7wAeBH3rO8WnKWe52rff0LPVGqWp8l9j+YRJ5pl1MUrEnQWgdxL9gPjTG/mCytZ0o9QWvdWhHhyqSEspwH3OlNBn41rl/qtJqbp4OpymGMiRhjhrzff8C1AM3Va9IG/MkYM2yM6QHuBc6qpIylUsa9UjgyO6sooRxvxnXbtMaYXbjBVE6ppIylUuK98mbPl/5NwEJGg8MIs482YGXe/xW4ltSqUayNGWM6jTEZz7L7LUbd1qomvzGm3fvuwp3XdAHQ6bkFZd2Ysi7Y1a7nK4GNxphOmJ316VFu/bUx1j2vYvJqra/GDdbw/7LTOjwXsV7v9+O4ATBOqpacR3Cdq1mfAVzvh5w1sJr1OcG7rurtUxSsCfD8S78NbDfGfGmCNCd66dBaPxuoAXorJ2VplFIWY8xaY8waY8wa4GfAvxpjZpX1p8RrsiTvmlyA28bn5DXBjYZ4idY64LnWXYjrXzyrKLEs2Qh8z8Mt16yjxHIcwJ0fgTdf6WRgT2UkLJ0S75XmvAAd/wLcO8XIn1BdNgDrtdZrvev2Wlx31aowURvLdmo8XgFkI1P+Bnit1rpWa70WdxL5oxWQs0FrHc7+Bl7kyfQb4Gov2dWMPpeqImceYywDs60+8yir/jx3rajW+jle23kTFXgXaDfy5rW4waJG8rYvzAY30Fqv8+TcU0U5y7rO1ZLT4++Bp40xOZe6atXnJO+6qrdPmYM1MRcBbwS2eC404EbdWgVgjLkVeBXwJq11CojhzseYDSb6Qkopy1yglHK8Gnin1jqNe01eO1eviTFmu9b6T8CTuOFHbzezM4x2qe3rFcBdxpjhyotYEqWU49PAHVrrLbguBdd61sXZRillORX4vtY6A2zDDVsrzFKMMWmt9btxo7z6ge9UeX7pRG3sdVrrs3Hda/YBbwcwxmzVWhvctpYG3lUhl/TFwC+11uD2eX5kjPmT1noDYLTWb8UdOPmnKsuZnaN6OV6deXyh2vWptf4xbtTUVq11G/AfuC7G5dbfOxkNg/1H7zPTcn4EqAXu9tpANnz4pcCnvL5CBnhHnut6NeS87Aiuc8XlNMZ8m+KeKNWqz4meQ1Vvn8ra2dj3FARBEARBEARBmHuIi6AgCIIgCIIgCMI0IQqWIAiCIAiCIAjCNCEKliAIgiAIgiAIwjQhCpYgCIIgCIIgCMI0IQqWIAiCIAiCIAjCNCEKliAIgiAIgiAIwjQhCpYgCIIgCIIgCMI0IQqWIAiCIAiCIAjCNCEKliAIgiAIgiAIwjQhCpYgCIIgCIIgCMI0IQqWIAiCIAiCIAjCNCEKliAIgiAIgiAIwjQhCpYgzEGUUmuUUlYpdXHeNquUekM15RIEQRCOX+TdJAgugWoLIAjCEXEQWAr0VlsQQRAEQfCQd5MgIAqWIMxJrLUZoKPacgiCIAhCFnk3CYKLuAgKwgyhlHqPUupppVRcKbVTKfUxpVTA27dPKfUZpdTtSqmIUqpHKfV5pZQvL/9VSqknlFIjSqkBpdSjSqlzvH3j3DCKnH+pUupOL29MKfU3pdR5efsv845xuVLqXu8825RSL57JehEEQRCqh7ybBGHmEQVLEGYApdQngX8HPgKcCrwPeDvwH3nJ3gO0A+cD/wa8G3i/l38J8FPgx8DpwHOBm4F0iedXwK+AU4B/AC4AOoG7lVKtBclvAj4LnAU8BvxEKdVcTnkFQRCE2Y+8mwShMihrbbVlEIRjCqVUPdADvNJa+6e87W8CvmqtbVZK7QMOWmsvydv/WeBN1toV3mjgRmCttXZfkXOsAfYCl1hr7/e2WeCN1tofKKVeCPwvcLq1dpu3vxbYB3zDWvsppdRlwF+BV1lrf+GlWQIcBq6w1v55+mpFEARBqCbybhKEyiFzsARh+jkdqAN+7r1YsviBkFJqoff/oYJ8DwAfUUo1AU8CfwaeUkrdDfwN+IW19mAZMvRmX2AA1tqEUuoRb18+m/LSdCilMsDiEs8jCIIgzA3k3SQIFUIULEGYfrKut/8EPFNkf98E+VT2h7U2o5S6EtdF4++BVwE3KKX+yVr7uxLlKGaeVkW2J4ukE/dhQRCEYwt5NwlChZCGKgjTz1YgDqyz1u4q8sl46Z5TkO+5QLu1NgJgXR611n7WWnspcA/w5jJkaFVKnZbd4LlhXODtEwRBEI4v5N0kCBVCLFiCMM1Ya4c8n/XPuvN5uRv3XjsDOMdae62X9GxvwvGPgPNwJxt/EkAp9XfAC4G7cP3O1wNnAt8uUYy/AI8CP1JKvQsYBK4HQsA3jq6EgiAIwlxD3k2CUDlEwRKEGcBa+2mlVDtuNKabgBiuS8Ydecm+BqzGjY6Uxn25fNnbN4g7avguoAV3XZEfAp8u8fxWKfVy73i/B2pxX2qXW2t7jqZsgiAIwtxE3k2CUBkkiqAgVAEvUtPt1tr/qrYsgiAIggDybhKE6ULmYAmCIAiCIAiCIEwTomAJgiAIgiAIgiBME+IiKAiCIAiCIAiCME2IBUsQBEEQBEEQBGGaOJajCIppThAEYW6jpk4y55B3kyAIwtxmynfTsaxg0d7eXm0RBEEQhCNg2bJl1RZhxjjad1Nrays9PbM/orXIOb2InNOLyDm9zAU5p0PGUt9N4iIoCIIgCIIgCIIwTVTMgqW1vgL4CuAHbjfG3FCw/xTgu8CzgY8ZY27K27cPiAIZIG2MOa9ScgtzH5tKwmA/pJIQrIHmBajAMW28FQRBEIQ5j41GoDGMUseit7BwLFORXqbW2g/cAlwOtAEbtNa/McZsy0vWB7wXePkEh3m+MWZ22x6FWYHNZGD7ZuzGB7E7t0FH29gE/gAsX03mjPMYPucSnIVLqfX7aKjxyUNcEARBEGYBdjiK3fYEatkqWLm22uIIQllUahj/AmCXMWYPgNb6TuAqIKdgGWO6gC6t9UsrJJNwjGETcezf/oD9y++grwdCdXDSs1DnXwwtrfT66tgw6OfJQdiTDNI91IBz/wiwG4BQwMfq5hpWN9dy5uIGzl3eQH3QX91CCYIgCMLxSCrpfo8MV1cOQTgCKqVgLQcO5v1vAy4sI78F7tJaW+CbxpjbiiXSWl8DXANgjDlCUYW5hnUc7H13YX/zI4gMwMln4HvNv8AZ55FUAe7ZF+GuXQPs7I0DsKghyEkrQ1xa49Dc9gz+pzeTSGXoXHsm++16HjgQ5a5dgwR9imcva+DKk1o4e0m9WLcEQRAEoWJk37kSeFOYe1RKwSrWMy3njrnIGNOutV4E3K21ftoYc29hIk/xyipfckceB9j2Azh3fBX2PgPrT8P3rx9FnXAKg/E0v9naz5939hNNOqxpruWNZy3kgpWNrGyqGVWWLliJjT8X+4efYe+6FcLzsG/9d3a0rOPBg1Ee2B/hkbYh1rXU8srTFnDR6jA+UbQEQRAEQRCECaiUgtUGrMz7vwIoOU6tMabd++7SWv8S1+VwnIIlHD9Ya7F/+yP2p9+B2hDqrR9AXfg8hpMOv9rUzW939JHMWC5c0cjLTp7PaYvqJrRAqVA96pVvwp57Ec7tN6Fuvp5TX/92Tr/0Cv75nIX8bW+EX27v46YH2vn10yHedt5iTm6tq3CJBUEQBOE4xMp4uTD3qJSCtQFYr7VeCxwCXgu8vpSMWusGwGeMiXq/XwR8asYkFWY9NhrB+d5XYfOj8Kxn4/vn9+GEm/njMwP86MluhpIOF68O87ozWlkxr7bk46rVJ+D7yI0437oJ+z9fxzl0gIB+K5ef2MwLT5jH3/ZG+P4TXXz4z/t5wbom3vLsxYRrZY6WIMwFtNZB4DnAMmPMT7z3CcYYmeAhCLMR8RYR5jAVUbCMMWmt9buBP+OGaf+OMWar1vod3v5btdZLgMeAJsDRWr8fOA1oBX6ptc7K+yNjzJ8qIbcw+7Bte3H++zMw2Id6zVtRL3gZ23vi3PbAPvb2JzhzcT1vOXcRa1tCR3R8Vd+I7z3XY392B/buX2N7u/C9/Vp8wSAvWDeP56xs5GdP9fKr7X08cXiEd1+4hPOWN05zKQVBmE601mcAvwESuB4UPwGeB1wNvKaKogmCMBG5KVhiwRLmHhVbDMgY8wfgDwXbbs373YH74iskApw1s9IJcwG76WGc278EoXp8H/48kaVr+c5DHfxtX4TW+gAfvmQZf7fy6NfLUD4/Sr8VZ+ES7I++ifONz+F753WoYA31QT9vOmcRF69u4uaHDvPpv7Vx+QnzeNt5i6kNyLrdgjBL+QbwCWPM/2it+71t9wDfqqJMgiAIwjGK9AiFWY+1FudPP8f5+udg6Up8H/8iD/uX8J7f7eX+A1H0sxZwy8vWcdGqpmmN9Od7/ktRb/xX2PIYztc/i00mcvvWzQ/xxSvW8OrTF3D37kGuvWs/h6PJaTu3IAjTyunAD7zfFnKugTKZUhBmLeIieLTY7g7s8FC1xTguEQVLmNVYx8H+9DvYn38Pdd7FjLzv03x5a4Ib7jtEa0OAL125hv931kJCM2Q98l16Berq98DWJ1wlK53K7Qv6FW88eyGfuGwFPcMpPvDHfTzaFp0ROQRBOCr2Aefmb9BaXwDsqoo0QtnY3i6cR+4ZM9B1PGIdBzsUqbYYlUVcBI8Yu2cH9qnHqy3GcYkoWMKsxWYy2Du+ir3716jnv5Qn/+EdvPeudu7fH+F1Z7TyhRevYXVz6UEsjhTfxZej3vgu2PoE9js3Y53MmP3nLm/kS1euZWm4hs/ec4jf7+if4EiCIFSJ64Hfa63/E6jRWn8E+Cnw8eqKJZRM12H3Oz5SXTmqzf5d2K1PYOOxaksiCMIkiIIlzEpsOoVz6+exD/0F52Wv5yfPeiWf/Osh6oM+brxiDa89s5WAr3LuA75LXoR61dXYDfdhf/wtbMGI2qLGIJ+9fBXnr2jktsc6+e7GLhwZdROEWYEx5nfAlcBC3LlXq4FXGmPuqqpgQvkc74/VIc9LIpOZPN2xgEQRFOYwFQtyIQilklWu2PwoUf0Ovuw/g01berlsbRPvvGDJjLkDToXvilfhRCPYu34J4SbUP45daSAU8HHdJcu5/fFOfrW9j4FYmvc+dyn+CiqCgiAUxxizEfjXasshHCHS2R7LHK0O290BzfNRwZoSUufCCM6kSMcshQPBQmURBUuYVdh0CuebX4DNj3Lon97DZ0bW0TMywrsuXMLlJ8yb1iAWR4J69T/DUAT72ztxWlrxXfKiMfv9PsU15y2mpS7ADzf3kHIsH7hoWUWtbYIgjEVrPeHaicaYT1RSFuEoOe47jXO3/DaRwO7ZgQrPg9POLiPjzMl0TOM4Y/5aa4mnLXVBcV6rBKJgCbMGm07j3HYjbHqEJ1/1fm4cWEHA7/CZv1/FKQtnR7AvpRS88V3YwT7sD76ObV6AOuPccWn0s1oJ+hR3PNFNxh7i3y9aTtAvSpYgVImVBf+X4K6D9csqyCIcCWLBKmAO1of13BpTJUbclXWwjg47VsHaP5DgwGCS85c3ipJVAUTBEmYF1lrs9/8bnniYe676AF/rW8LKpiAfu2w5ixtLcSWoHCoQwPeOa3G+8BGcb34e34c+h1p9wrh0rzhtAQGf4vbHu/jyg+188KJl4i4oCFXAGPPmwm1a6yuA11VBnOOGTF8P1tpp9jw4vjrb1nFAqdE6PJ6UjeOoqDNCQVsZiLsKbjLjiIJVAaSGhVmB/fn3sA/9hT9d8R6+MriE0xfVc8OLV8065SqLCtXje+8noCGM87VPYXu7iqZ72Snz+edzFvLAgSi3bugQn2hBmD3cBby82kIcq9jBfpJbN0L7gWk6YlbBmKbDzRHshvtg57bxO+a0Ra+ystu+7jkV2r5zKDmjfYW53HLmEiVbsLTW7wV+ZIzpmUF5hOMQ565fYf/8C35x2dv5QXwl5y9v5MOXLKPGP7v1f9W8AN97/wPn89fifOU/8V37eVRD47h0rzhtAUNJh59t7aWxxs/V5yyqgrSCcPyitV5XsKkeeD1wsAriHB9k3cCmK5z4cdwrtP09o8WfpN9treVQNMnSxprZ6S1Rts4wPUqG9RRUdeHzpuV4pZBx3GuxsqmmLAtu11CKHT1xEmnLqmlehuY4G5uoOuX0YP8e2Ke1/p3W+jVa65lfgEg45nE23I/96Xf41XPexA84gUvXNHHdpctnvXKVRS1fhe9dH4Wuw+5CxKlU0XRvOKuVK9c384ttffz26b4KSykIxz27gJ3e9y7gYeAS4OpqCiUcARX0ArDtB3Aeuadi5yuLIn32npE0e/oS7Bs4vhdjnklsPIaNTb0W297+BPv6E3QPp8s6fspx23cyI+rQXKdkC5Yx5h+11guA1wLvB27VWv8c+L4x5t6ZElA4drF7d2K/ezN/POvlfD/0LC5eHeb9czCsuTr5DNSb34e9/YvY794M//JBlG+sgqiU4m3nLaYvluY7G7tY3BjkghXhKkksCMcXxpi5MWIjTELl3wv20H73O5NB+f0VP39xJu54p73OefZbmP5Q5Xbzo8DU1rCMd97MEZ7fToe9qeDcubqoonupdRzIpEsM0z+3KeulY4zpNcbcYox5Lm4EpvOBv2qt92mtP6a1Hu8fJQhFsP29OLd8hr+uuohvtfwd5y9v5N/+bu4GgfBd+DzUK9/kLkT8y/8pmsbvU3zgomWsawlx0/3t7OqNV1hKQRCEOYqq/JpIOaUqU54VojJM/K7M32PjI9iOQzMmRdtggnv3RcpTZEp9zU+HclQQSa9SzM2eTAXY+wx240OuonWMU3YUQa31C4E3AFcBjwFfAA4A7wP+iOt2IQgTYhMJnFs+w4P1a7ll5ZWctaSeD18y99eKUle8Cnq7sH/6Oc6Chfgue8m4NKGAj49ftoIP/Wkf/3VPGze+eDULG4KVF1YQjnG01gcpoTdujFlVAXGEPPb1x4kkMpy5pKH8zJU0zmQ9ETKZCp50CkpQOsYYKLZtcl3XFy0d51kxHeztd90RHQuyEskosznoYzUvk+3rzv6qohSVoZwgFzfhugcOAt8HPm6MOZS3/2Ggf9olFI4prONgv3szm6I+vnym5uSFdXz0eSvmzJyryVBKweveju3vxf7oNmxLK+qsC8ala6kLcP3zV3LdXfv59N/auOFFq6gPzhb3E0E4ZnhDtQUQinNgsMR1kKqNyipYaWw6hQrMhsGwiTumxTrzNj0brW8VpMr9+Kqe/tjXYWY15ViwQsArjDEbiu00xqS01udNj1jCsYr93Z3se3o3N13wPlbMC3H9ZSsIBea+cpVF+f34rvkQzo0fxbntRnz//lnU2vXj0q1uruXaS5bzn389yJcfPMxHLl2Ob06H3RWE2YUxZpZGJxCyDCczNNSUOLhUocejjQxAOo2a35rTWOzWJ1wRpph3YzvbYX5r1eaXZPvTarY6qJVtzpk9GoKN9KOaWkpOn70G0zKXSpiTlKNgfQ4YEzpFa90C1Blj2gGMMU9Po2zCMYbd9DC9f/4Dn3nuBwmFarn+shWlv1znEKo2hO+91+N87sM4X/sUvo/ciFq4ZFy6s5c28NZzF/Gtx7r4yZYeXnfmwipIKwjHB1rrs3Fd2FvJ664bYz5RNaHmMDbqriukwk1HfIzH24e5dE2p+SszB8tu3+yercyQ3jY2gt23E9XXDaeeVXq+SD92+5Oosy9E1YZKyDDxroODrrte8bG66nb0bW8X1FQh+HSBUtc9nKI9muSsSdxTbToF0QiqZYH7v6cTu/tpWHtSyactnDLoWIu1TDnPvBzV2DoO9HQy2LSQJztGOHdZw6R9qlyMizLOMWMcB3pnOaaDXwErCratAH45feIIxyq2u4PhO77OZ859B0PBeq6/bMUxPfdINbXge99/gOPgfOU/J1zk8KUntfCCdU3cuaWXhw9GKyylIBwfaK2vAR4AXgBcC5wBfBA4sZpyTRdtETfQQGaK6HHWyeA8co9raTlK7LYnsNueOOrjlHHGCp7rCM6ZDaaQLr5Ux4R0dbjf0cHy8hUhG9p7jE4xw5OAbMF30TSJOHbX9tEFk0v11pgB0bd3xxiMTzGnbtd27DNPYZNeuPuEF5AqWXpgqsLhgM0dIzxwYOp3fCxdRvCH9gPYvc/Q3d4FwMC4co1WoHUy2B1b8uZATY5Np7CRGZz1Mxsnp00z5ShYJxtjtuRv8P6fMr0iCccaNpUkdevn+eL6V7M/1MqHL17OuvkljNTNcdSSFfje9THo7cK55TOjD+v8NErxzguWsH5BiC8/eJgDg7J+iSDMAB8GrjDGvAKIed+vBsrsDc9ODnlzmqYMz31wr/s9g1HlCrm3Z9SyMlPY6CB27zNHlNexlme6hmYktPmOnhj37ovQH3PnQcXTDjt6YjjFOpclKx1Ty3mkocGPhklP6SmfNjWzc+9sJoPt7y3cWjztZAJnF8cuEunuqViQtmTpnjfZqxpNTB0opT+W5lCkjDrKKvPePLt0MoWdaGHvjEMaBYOlrcNpH38Qu/1JbGKmoh2Pr/+0Y9nZG5tyoGiuUI6C1aW1HjPa5/0vbM2CMAZ757e4o+Y0NjafxNvPX8y5y4+faP5q/Wn43vpvsPtpnG99seiE4xq/j+suXU5tQPG5e9oYSs6iiFWCcGywyBhzn/fb0Vr7jDF/BF5WTaGmDa8XN1m/xKZSo+G6g673gN25DbvlsbJOZZ0M9omHi+8bGXItZANuJy7bh81Gmpsp7NNPYrsOlxz62SYS2I0PYuMjdA6l2N8f40AJi/Mm0g6dQ6MdYDsyjI1nZ06MV5A6h9wO8JZON83O3hidQ6kCS8P0dyaLKnBV7bNWyClt7zOu5amEhYBLIZLI8FTnSF59KvrTfvYmZsb7ZiRVZuhyLwiL8i7uvi3bc+t0AeC5JToWUJBwFGSc8i5HCRZZ29VedAAZIONYuodLG8c6OJjgcDTF4egcCYIzBeUoWN8Bfq61/get9Wla65cBPwNunxnRhGMB58G/8Jcd3fx+xSW87OQWrlhf+iTRYwV13sWo174NNj2Mc/tN2CIhf1vrg1x3yXI6h1J86YH2Y2YERxBmCW1a6zXe72eAq7TWlwDHxJt81B1pUjNCXgZvAn5fN3ZkuLyTxWMTdqbw5mXhWRGO5CnWO5JiJDXZINP43mF3ysfjwzWln7G30w1d3tWRUwKLWn0KNm3pHGFHTzxn7bJbHsNuLhr3qyiTG5ZKXhyquHBAU61rWWkOlb0Cz+jRuzuwO54avy0yUKJcRTjSAE7lWuKy1pv8dcvyDmH37cS2Hxj9n0zkXOaSGYetXSPutfXk3dGXoC+WJp52D9IZL10BOpK2X/ZKNSr7lW3E4++b7fEgDwyFZkzBtok4du9O2LWt6P69/Qm2d8cYiBcMLhe73bLz1ZhgkGCOUc5deAOuO8VNwErgIK5y9aVSMmutrwC+AviB240xNxTsPwX4LvBs4GPGmJtKzSvMTmzbPnb+6lfceubbOWNRHW9+9qJqi1Q1fC/4B5xMBmu+jfV9Cd76gdFFLD1OW1TP285bzK0bOvnRkz288WwJeiEI08QXgFOBfcCncAcHa4D3VlGmacONWFbOQq9je3J2ZBhVX+KaVKWc5igMFlu73E5y6cEv4OlYEKzFcSwlrfiRF4Fgor5/MVerlDfHye38HXkhx+Scxn5kjbcQVXskSY1fsaA+z9KSTEBd/bg8Nh6DZDwXIc/u2TFOxty2SQJ/TFaMg5EkjWlFc2DUElT0GO0HoKUVVUTOcWl3bQOfH7Xu5CnT5vJ0tsPI6PSE+JOPYTs74PyL2T+QpHckTedQimUTlaMEw1jnUJJ9uw4yf7ADu+pZ44pqD+2HwT7UaeeULPeEZJcRmETv603PcCCxrNU4VXw5gLg3p2z8oPHELaZtMMG+/gTPXRkmOIcXVytZwTLGOMCN3qcstNZ+4BbgcqAN2KC1/o0xJl/l7cN92b38CPIKswwbH6Hv9q/x+VPfQHN9kA9dsnzK6DnHOr7Lr8JxMtif3eG+4N/8flRg7C14xfpm9vTH+dnWXtbNr+WiVUceoUsQBBdjzB15v//oRcCtMcYMVU+q6aPsRU0LtYp4DEpVsMrQCCbvTk8fPp/CydjcXJ++WJqRVIYVTRNFrctW2OiWcXV3aP/4XLNw8VhrLSSTqNrRsg6nHLZ2xbh0zaiCZZ/cAJYVc6sAACAASURBVKvWoZauHJvfcykrNWqitZZIIsO8IlYy234A5rVAa+uY7XsHkhCr5ZLw2Pk8Np1ylSSfz10j8+Be1OGDcO5FU8vR61qeplawil+swXiGDe0JVjo+ljBVWHV3W6aE676jJ47t6YEgRRuKbdvnyl0kb34X6XA0xfoFdZOfzGuQajINawIyjmUgnh6rhBdjqsY+RWjCcfVZcDybiEMgOGbAORvnI+U4BP1HpyDakWHwKVRoaqV9uinLjqy1Phk4CxgzicYY850psl4A7DLG7PGOcydwFZBTkowxXbjzvF5abl5hdmGtJfW9W7hp4QuJhsJ8/rJVRR/GxyO+F78Sx7HYX3wPm4jju+ZDqLzQtUoprjlvMfsHknz1ocMsD9ewpuXYDwgiCDOJ1vpm4IfZdRyNMUmOEfdAOIIA5oUKlnWwjoPylWD+qZb7cgnuddlAfk95c54mVLByxbdT1p1jIWWh1jfaAT7SKphU4czbOJTIsPHwMOcvb2RcCQrPffgg9uBeOOv8qRXZgT4oULAmlXegb1xo9f0DCQ4MJjl7ST1Nee91a3HlOLgXVq+dQmgvSt3jD6JaF8MJp+TS2HQ6rxwz19ae7BwhhGvhWcL4sOow/jrlK1h2oA/VPH/C408kubXjb7/R8ylsKgGOLS1kf9aCNfHZiv5WuPOdDgwmOWOxoqVukv7ZlJcgq2BNYJXM7S585njXe9Mj7lIPeRY9m8mAkwFGB3329MVZEg5SHyxN4bLDQ1Bbm5tjWu6yC9NByXOwtNYfBTbjhrZ9Y97nDSVkX47rUpilzdtWCiXn1Vpfo7V+TGtd3qxdYVqxf/093x1oYVvzOt79nGXHRcTAcvBd+SrU698BT25wQ7gXTMgN+n1ce8ky6gI+PnfvoZKiDwmCMCkK+LXWeqfW+j+9wcJjhmKdw2IMpH3sSQQo7DraXdthy+Mlnm2ySBoFo9MlHvGoyVOYJmMklfHc/PLKn0mTGehlOJlhIJ7Gm25DLAObh/xsiwV5dDiEteQWg3esxR5FWPUxUhaxEBz2Amn0xYq7XY05yKAXSjuRmLq+SwwCkuWZzduJbhptF8PJTC5wR2ISc06xecbj0jz+oPvd01l8fzwGXYcnzm8hUUpxprDAqILvSQ/V25X7Hd++ZZKU+cr02CNPJrJSwP49o9E+pyJrUS3Q+G3HoXFREg9HxwaaSHl5yg6sUUjuNMVrMBvQZbL6za6pl6NtL+zfnbt0yYxDWyTJkx3FfTStkxlXXvvU4+CtaVctyjErvB+4wBjz5BGcp1jdluzMUGpeY8xtwG1lHl+YRuyeHTzwl0f5w6mv52UnN/O8tfOqLdKsxPf8l+DUN2C/ezPOTR/D957rx4yGLagPct2lK/jY/+7npgfa+cRlK457F0tBOFKMMe/TWv8b8ELgdcDDWus9uFatkuYRzwWKOjdlOx7WsiVWA8AJRUabbXykNFe+I/CPs0Aknh5j8ThilOtWlDmwl53zVrFu/qgbVWFHc4wM1vLYoWEaa3yck53XYS0c3Esmkma4dQlPJh0aRmo4pyHJ/mHLYFpBxp8rA6kkEHCrYJL1hCLxNLv6xoe3zk3iL7EOJ7AJjP2btTraEjrKZShYibRDRypAb9rPcxrdoCaPtxcPiGIdh5GDByGjmOe3JLc+AcvWTCiyHRnvmds/kiaV8rEw6Mm4ffPEwVSAPYkA7akAf5exk8/T8Vzyigvu1XGefMVqqNjleipWw/kTH3lKm1Is5aAUhAKjdo6yY4F4FiynUMHav8u1GM1rzm3bWdAeJ3eJLIfJXQRHz1c8W9FNqVFl0Ha0QToDtBQNRGOtxW64H7V4GaxZP3ZfQQCfeNohnTlKhbIMynnaxYCnj/A8bbiBMbKsAEpd6fBo8goVxA5FaP/urXz9pH9mfUuQq89ZXG2RZjW+C5+HravH+eYXcD777/je/XHUqnW5/acsrOPt5y/hlkc6+MHmbq4+5/gNEiIIR4s3j/hu4G6t9fW4QZVupIRATVrrlcD3gSW4fbDbjDFf0VrPB34CrMENoKGNMTO4OqdL20CMgGMJeIMuQ0m309A9nCJcO9aF5unuGN0jaS5ZmufqdYRR3WwqCQWdY2sth6MploSD4zpR+f2hTd7o84UrJl+mwzoOdLRhF6xyXYeKsW8nPd0DdCWbvLJM3VnMjtgPJR3wdLJ0xtI14lmJsvsdt9PqV+OtcXbPDlh3uneWiSadWHb1xXPXpGiSoluLKL2lKGK5QAd2zBFs+wGczoJVdKZQsPpjabJDolM1kTGi9XTyZGQAcOdZOYN9sGwN9+6LsDQcLEkp39I5AvEaFgZdRSC7ZlZ2al1NQfq+jFvuMfN08oTuGUmxrSvGhV0dBCcpi8+7zuXeEilbQgZrJ9Q7NhwawjoOl66oy00TGHf/tO2DuoZxc9pyeEIHlMUmCoKypFPTZGYocQ7WdGhYxQ6/f7fbbJe2jGtG1lrso/e6v7sOowoUrEIebRtiaTzA+gqtFFSOgnU98DWt9SeBMTZd78U1GRuA9VrrtcAh4LXA60s879HkFSqEdRwS376ZLy5/Kaqmlg9dunJOR3+pFOrM8/FdewPO1/4L5wvX4fuXD6DOfk5u/4tObGZXb5xfbOvjhPkhLl4tQS8E4UjQWjfiBlF6HXAZcA9wdYnZ08AHjTEbtdZh4HGt9d3APwP/Z4y5QWt9HXAdcO10y57PQDzN3uEh6m2ck1tdTcEO9kOojrYI41yyuz0Fonskz0XoSBWsjQ+N29YxlGJXnxu6PDcSmg0DD5BKYiMDqCZ3ND06yTp/1lq3YzgyDHt3wJmujcC27cuF08a6fbphp8jI/yRWnDGdMy99W8zSn1KE1PjOXuHrKz9FIuOwsdvhpJSPxcHSR8QjRd29J+5oFr1Mhb3MvMgb2T2uIjxMsgFqCiaC2HgMUklUeKx3SUc0wTO9CU5M+VkSLMHFL1/uIus7Zil0TZvsiLlfmUyunI8N15JMByicQZOtmqGePoabmlnY4AZrSDhQYy1t3uLbw5n86IXjy+CDsXVa3Aw8ibQTlWY0sqft78WmLCo4qibaZAIO7MF2xyecH2SzgVZOPrX4SbxrH/IBhS6rhffCTPl05fSrqZ8pibTDw9FaTq1NsrBInQ4WhnIvOMX4QIT5E+ZKe6YNJTLQWJm+aTnrYN0BvA3XopTyPmnve1KMMWng3cCfge3uJrNVa/0OrfU7ALTWS7TWbcAHgI9rrdu01k0T5S1DbqEC2D/8lO/Hl7E7vIL3XrScxY2F403CRKhVJ+D72E2wZAXO1z+H8+dfjBm5fNt5izmltY6vPnSYff0ztaq6IBy7aK1/CnQA1wC/A1YbY15ijPlBKfmNMYeNMRu931Hcd9Fy3IBL3/OSfY+CKLgzQTbccTZkePdwCro7ppy3sb2nIIKbtxhwKdhoZMwivoeSfgYzbicluyZU2rHc25HiqVhBVDJvLk02f2ASV+cxHaj8Pm9eRL+MY7mvT9GW9OaStR90o9HBOP+uVMYSKzrHxJUhOVlYuMLR8rzfQ56i1J0qPcJZT56CW0pgNptKwfB4l7xxeXMKVl459+8G4JHh8fOf7eZHsds2jdsei6ewqVRuXlOxMPUT4oxXyNojRxFDZudoFy/pWYp29MR4YP/oXJ1sK9q+4wDbu11ZUw48Ohxid3+q5H5/4RwsW3Rv+WSv066+OMNPb825KuaO39F2xMcef64ibXwSa6Vl4nqx1o61nE5pfRx1EbTJBPbQfvcYjz+A7e4Yk3LIG1zpnCB0/FDSwcbKXJdvFlOOBaswLExZGGP+APyhYNuteb87cN3/SsorzB7stk089OBmfn/6m3jZyS08Z2W42iLNOVTzAnwf+hz2uze7YdzbD8Ib3okK1hD0K669dDkf/OM+PnvvIW66Yk1uQUlBEEriMVwL1IEpU06Bt2DxOcAjwGJjzGFwlTCtdVE/Xq31NbjKHcYYWidy+SkBO5Sg7fAQ8+bNo7V1Hk/0dhOqczvSNeHwuGOHe71R9GSClJeuuWU+6cP7oGn0Wf3ooI/5yRrOWDbWSu6MDJPYvpHA0pWkvfTtfX6w8IKmDM3NLYTTwzS31NHXEyE23EBzczO+8Dxi3R2E6txnlT8Vx9+6mNYFzYSHvXlNmTTz+roInHAyyu8n7VjCnXFSdSGamkLUtrZi4zHieXJ214apr4vi2AyBxkbqurqor6sjbaGlpYW6eU25Mj8TVSQzcPnJrcRTGcKD7syTlnm1pHrDNNQ0UpeJoeJxwuFGVF0DyboQ4aYg4ZpG6uIW6y1a2xgOUo+PQDhMY1MdDfW9hG094UaHutZWnOEQiaYwvroGmprmoRJjR+MbmxoJx9wu1/z5TbSGXbew2PYkNIWpWbAA/wL32nWlo/TveIaGYYewV/a61lYCgQBNTWGskyHog/TOLfjmzSeZjLE7ESBUA+FwmGTdqGLVEA7moh/6QvU4Nf7c8QBi3vEb+rtosPWEGxsI11nSnQcJ1YUIKgg3uQOm4fDodWhuCdM6L0S415KqrcF6VsBwU5CY46czFSQcdpVtG/STqgtR2xgcZ1EDqG2oJxyMkvLqPplJk2kIU+eHUNqPqqtjaChJyOfLte/6+jqcjEIpRdBr9wNNYUKRYYZ8IVRNPeEaCIcbCef1dENpPzVeOdLKR2NjPa2trfSPdNIY8NHc3ExTfxNOjVvXAQLMI0EoESaU8eciCQYULFiwYFx0vHCvJVkXor7GEg6HUf4AWw/NI1Tj3p/h4TBBH9QN1WH9PsJNQfzN87lndy+Lww1j7uVwzJUzEAjkyj0QS1Ef9FET8JNOjJBqCjPc2EQDlkwiRrjJrfPAvHn458/PHS8Ybszd/wsWLCARiBOxMVpaGmhtGQ1hntj0CE50MPdsqJ0/H1/zfGKpDIcH46xdUM+T7RGUUpy5rAkn4HPbfVMzzu6naYz0UrNyFcn6OlR/F+EFZ7htvmUeGWupC9VRF3RYsGA+vrqGXPura2116+7QXvDknL9gAYGmMIHMaNvLf77ZTIZ9tU0ciCsuDEMob1+saWw/NFbXRDhs8fl8tLYuGN8IZ4By1sHaD6C19pH3UhGOb2x/L13fu41bTr+G9S01Mk/oKFC1tXDNh+C3K7G/uxPbtg/fO69DtS5mfl2A6y5dzkfvPsAX7z/EJ56/UoJeCEKJGGM+Px3H8dwMfw683xgT0VqXev4xAZh6enqOWIa+kRSOE2BwcJCeUIpoNIqNudapeE8XPQvGPhei0ah70lQCvHT9AwMQiY5J1zMUore9h6U1Yy0PNjqIjURRtg3rHSsecztA0Uic/qefIkID/cOK4QOuFW1gYABSGYJOhnjMs9z09qJq6+ntzRCNjngV0Ul/ph2VTKKWrCCVsUSHhiAWJxJJoHp6cB65Z4w8A42DjMRiblmGotQNjxDL+MhYRW9fL6FUMlfmXNl6FIm0QzTqzh/rd0awkShD8Rgxf5iQsoxEh1BpBxuLE43EidbWEovFwIuIF/HFicVqGB4cpHfXEwynAjRkRog6KYZ7erAjw249pTJEagbHzcEaqEkRjca9qkjh60+h6htwIlFSFvy9vaSSlrqgj/6BGPFYnCGbykWRHe7pobW1lUgkAo6D2rIRm8mg4gnaB+Lsat8FgDrx1Fx7AIj44+yIB1kczNDamM5Zpoa9Nuh47SCaSTEcamV4eJhoKkOqJk08ZokDUb97vGjdaL321aTwJ4Ju+xsaytVTNBJH1YfHXAObcK/XPXGbC5iRT/QvfyQaHW1T93m/LwnH3bbmAH1uCIDulY0opYiPxIg7PlCKeDRKT49iZDBKPJYk7l1LgKHoED7/qBUmHgsRb28Dn4+QdYgNj9DT083gpg1Ek0H2+p9FUySCjceIhKLEVIDe9CCNg1FiI7U4nlXLryw9+/aMc7XM3o/DqQzRaBTlD+SuRyIaJRqNElQQSyhIJt17qK2DaDQ+5l5ODUWJetemLp0m+8y456k26DjEhReeTu2we29GnHqGRxR4bRdAcQh8QeLZZ0M0mrv/e3t7GRhKEY0m6Q8maciMRudzDrmWtY6Un6CytPb1otIO27tH6B5OExmsZU+/ew2X1SSxkX5sJErK8UOokWAkiuruce+FQJBojVuG3r4MjrXE4jFGUhl6e3ohdhDrlXHo8GEi7Z05GQF6e3qpj0SJOYpoo5uupycviL+TYWOP+7yK+FMM5T1XnYLn2/3b3XKFw2GO5vkLsGzZREtRj6WcMO3NWusfAXFgl7ftH7XW/3VEEgpzHptOkfnm5/nGyitJB0N88JIVMu/qKFE+H76rXo/vXR+D7g6c//qAG24UOLm1jrefv5hNHSP8z6aJI1gJgjD9aK2DuMrVD40xv/A2d2qtl3r7lwJdE+Wfboo+aQ/uw/b1YPfvwu7fNXZfvtfPND6mbVc7HNwH+3aO35f/Z/zavkUSWuid6tlmR92WDre57k65XZNEERwjS14FlBJ9Lz9/YsRVUgpc6BIZh0hGjV0rKTaC3bUd29Mx1iWrsx275THsgd0kHXh4KMQDhxNsODSUcwGFyR3UbIk+cBZ3radtsfFu+1u7RuhKeZHovOhqCngmHuDpkVEviUhG5cLXZ9nZG+fBA2M7sTm5J4h2kh8YIuHAfdEQQ5nyGmPqyY1Fz5Ffb+SFiS969M52ONzm7bc51zVw58kVepVuHrA8MBQa04YyVhHJU6JtKoVNjCqPFtx5cRO2yVHJDkXGu/7XB8d3zx1rYcit870dg0xwN7nnjwzgbB3vCloqO+NBtsVqiCQdtneNUOdFO4ylHdcVMOWV1RPh4QEfm/vT9KR92D07yFiI27Gulzt742NuX5vnCsqOLdB5aIwMh4eSRDJq4nXnyvFkrALlzMG6FRgEVjO6QONDwGumWyhhbmB/dgf/O9LEEy3rufrZi1kalnlX04U6+0J8H/8itCzA+eqncH7zY6zj8KITm7lyfTO/3N7HvfsiUx9IEISjRmutgG8D2wvCuv+G0UAZVwO/roQ87jwJp3jnLRF318HpOOSubwXYRBwyoy5rVpXz6p+iA19alGYIeW5IE2hYdrAfx8nkOpBH1GOabN7JRHJm5w8V7nCcMR31/HhwjqcoWAsDadc69kh7jM0jteyO5dVtdu7YQEFgSS8SY8eBdroL5qNMtojxSDJDLCtSTjGcWsHK/S5QCnsGh9kRd9/byjrQ14MFOlMBBvLW4No8UsvThXPrpsDufcadR1YgREfKTySj6PPC37dPMo8t5owvW9ILvV3YgofztaK8+U35RxhIjz9ezPGx8fAIB5Kj5ZuoFRVemk1drpJh+7qxGx/Ebnp4fIZ0mpAvTxErcn37i6x3Nm5h3mzebORA36hAJegfY7cPRd2FngvmO9kic+me6UvRPZJmaPcu7K7tbnj3A3vc9boKcRwG0z5wMu76cdG8oB7W5uY8ZpXPMeceHq+st7d1sXmklo0jteOjJBYeQ7lBNGYT5TxlXwi813MNtADGmG5AfMKOQ5wN99F5/33ccfLLOWNxPVee1Dx1JqEs1KJl+K67EXXhZdjf/hjna5/GDkd567mLOW1hHV97+DB7JeiFIFSCi4A3Ai/QWm/yPi8BbgAu11rvBC73/s8oFkgf2I19+smpI5n1drkLmR/cC4fypp8liwcgsImxz5OBWJp720boS/sm1HeymyOZ0e6E7TgEmczYPIHAmPTAqBkiNuKWZ+/u3K6U4y4MXA42Hsdu3zxmoVvb2+VGWZyIiTSaobEDWLlUhw7mlKLutJ8tsVoO5QV0iBTpxMPYBWez3cBn4jXsSQRzKYBxa/fk88DePh4b9jqt2cr1qbFKVP9Y96dixXOs2+Gl3VVE0hb60+7125corkj1Z9cDS8TdNsVoR70QC65yOjx+EHBnPMjmkVqCntRpqziYHFWysnKAG0EQAKVy4dTTRZQKO9hPdPvWorpmdpNjYUusdtz+Qsvc5BRRevp7sTu3jd8OkE7A/l2lhXQvgXxRfe7CAYC3mK+nzO5PBNjotRE7Qe6NG3dw6MltcOiAe89kFe8igW+CZLCpBEnP5bM9OknwkrwbfiDjB6VwejqxhwsDepRYH/n37cF9Y08VHyG/TEPWxyNtQ9y7L4LjOOyOB0bvlSpRTpCLQaAVyM290lqvyv8vHB/YwwfJfO+/ueWct2MDQd7znCW5Fe6F6UXV1sJb3g8nnIy983acT/8bgXd+hA9fstoNenHPIb54pQS9EISp0FovAF4CLDXGfEFrvQzwGWOmDOdljLmfiXsFL5xGMUvCxkboS/vpj6XHRPcrSpFocMU6xQAc3Is9aSFKKWxnO93KnSi+NVbDqswIq8f3T3MM5ilYKQtb2yKcUMRl3Nn9NLZjGFauBQWdKR9LvDDf+SPqm4b9xA8Nc3Gh7BZIFh9Ysof2Y9NxqGsBLyw8/b3Ypw9hl63DJkO5NYcGM8qVORdGblTWYpaOyQxq+ZEKRxwFveMVuvxX5I4hxaIiw9t2sJ++tgM4K04GJuj8j4siWHCgAhdLp6DZ9qZ9bIvVcM6Op3MH2xEPMuKUON6ejVZ54qkTR8LLyVg8Nh+QC7yRsWOVum0TWMom7WF0d+DUpqC5YcIkE90lxaYy96UUofRomPUJbUHpFG2DGUJpHwsCzhiLm7XAoYNjZLep1OSDInn3ZbpgECSayFAbKFw7wD1ab//o2nQHkqPd+jHn6itYEy2bZudWCAHn/l3xRn5oP2T8ZJtHMUvThChyStsYhXi8dCXhDpbs8JQrUCtHY+91p0bbr2OhPTUNi5ofJeVYsG4Hfq61fj7g01o/Fzcs7a2TZxOOJWx8BOfrn+PPy5/LltAy3nruYgnJPsMopfBd9hJ8H/4cOA7/n733jpPkqg79v7e6Ok5PzmFnZ7M2aLWSVjkhEEHYmIeNL2Aw4ICebHDAYCOMwQSDCe8ZZCOD9YQQPAPi+tn8EDkIDAhQzlmr1SZtDrM7ebq77u+Pqp6u7q7u6Z7pmZ7R3u/n0zPdFU/dut11zj3nnuN8/G9ovu+nvOfyfo5PpPnUHc/nx58bDIY8pJRXAE8Bb8St6QiwDvhc3YSqAY8eGnfnk/ipYKwrlSlvlOlTw+hdz6CfeBgOu8c/kSlWF9KavNCqLCfSFiNpeHIsfx89MZrzJk1OAIKnJ3PPD8fnvQkKDwPYcTINPvmP+kPstC7tadv3nBva5HmmHh6PukkSAnhkIlqk/qUp3bQOOheyNz3t3pPC+1LAcLrg3Af2wpGDbsieZ0A+NxXmeNoircmbJwSuEVumlvEMUwXtmPUQnTxybCakcrxEW5ejXBHknH1V+rilTK+5jtXum7aZGs31H71vF3rkFMMZi5R2SwtUyjMToUBvVxGH9rPz+ASPT0R4bCKc87hRwnwonBcJPDQemTFstG8e4/ie3RxIhXh60ubh/ad44MAYe0/mjK6xtOaOQ+mZtPplzupSWCcri+PkBlyycuRH3rmbZRcUeKOePpFyk5IE3rgCg9Mvpfc5rSm4Bj8F13Pi2IxxBcBIzkP6/HT9DapCqjGwPgEo4AYgDNyMG29+/QLIZViCaK3RX76Bgycn+fLQyzmnt4GXrmmefUdDTRCrN2C9/9OwbhP6S//Cuu9+gT85t4OHD47zZZP0wmAox2eA1ymlXoGrK4ObZv38+olUA559EnwKR3Mogy4IpQninuEyj36tIZ1mNCM4kLJnQo+CeHg8eHCtZK4jRwd6EvYfco2uPHWqijGjGWW9cF6HV5z4ZMYXRjd6qkAZDD7RyQIDKFMmzMvRwOGDJdcH8UhA0okgkR6biPDr0Rj3788PHbxzNBZY56rS84xkrJk5ZrrSkK08GSswsMosEQHvij8FH1vnGQvusae14LFxn5I9OQGH97NzKsxjExE3ZC2AYyVqMoGb0ME9RZnO6Hlfjxccx79HukzfOZU3cOHbLp1mx2SYQymbQyPuXK+RqczMJiemNI7WM6GbUKzQVzPsmi3uPOXApC6+O4We0CwHx/Pnj1ViIGvNjHF/31iUu8diHC8ccKhE5uFgr5z/fmV0+du3kFSTpl3jPqQ+s3DiGJYy+iffJnPPHXz2qg9gixBvv7AncCKmYeEQjc1Yf/lB9De/iv7uf3Dlnp08e/mf8f89cZzVrVGuWGUMXoMhgCGl1O3e++zjdprqwuSXBNkitzP45hvFLD2TtCGjYUqLwCKw5VUvVyN5qJwB4DFWwgNUUmXNTRvxcJ8fO6bC9EYygYrQhCOIW5rDKYs2O3ioe2aOi9bu4bPPpePufKTj6RDdYa8dpqdwTvjmmvi8/9rndRotuLa0hlIzwlIZDdPF6cfzGBuh4u529FDgYh1wDn1qmDIt7t8SyCnM/uQatVZAizxYAccvFXw3m0YxlrGIPvogkJ2LlltXZAR7FzbuCJJWGXffRC6MNi+ZwrzapcIKx6XOE6BbnfJ/908cgcYWLDQJy3FDPP1RjRUy6QjGMoKGe+9ANLVwd4HRnjXgKgqSKdqmjAfr+V1ArpD0YxX83vh5fCJc8p5qnyC/Go3Raed/c9OOLlvwvFZU/HCRUr641Dql1E9qI45hqaJ3PIH+j5v5zvm/x+PpBv7iom46EtVlFTLUBmGFEK/5ffSq9Tg3f4a3fuMD7LriOj5710FWNEdZ3Tb7qKbBcJrxuJTy5UqpH/iWXQU8Ui+B5sp4YQ7pEjw1GXZH58cCRnlnsa/QzkymvJnFVShu2YQExQdwcqeenMgzSn4xEmVV1Dcank6jjx/m3rEoQ9EUu6bCDETSUHqajS/bu86bm+ZoGPPSgTvT09yxK2CifipdOozKY6KEQVnRPXnmMeg/a/btACeVItBomteAppg1UUlVBIS7gZvSvSF7wPS0ex9qYGBllz87FebZqXBeZr5KaLUdTpbwYuWl6t+7C0LudkJU0jbBEs91v9lXeytSaXcAwfe4QBY23AAAIABJREFUn8t39kDK5kDK5rLGSc9YD9YfglpbP/c07C+eb5jKnjdVIpkOwNQsAxIl2DsdYkUkw7F0iGMlBhb07mfzPh9Jh9zvtmWhoxG0riD8swZU45P7QsHrNuD7uHOzDC9g9KlhnH/7BM/3rOcrybM4rz/Jlaua6i3WaU82lbvd0sq7f/QxGp0pPvbzfZyaLE75ajCc5rwL+IqU8ktAXEr5b8AtwF/XVao5cHS8su93udAntGb3lM1YJkDp1rpsuvN5cWh/TvEcOQl5WQsFzxVmsPMm5o95YVSTjiirNY6lPAPu8AHY+dTM8gzw5GSpEXLveEfK5+sqFyKoM7Pfk+oDoCpjsopbtavEPJVKDSy9b1fuQybYn/fQuG/+2vFjsOfZsmcovJ3TFWbcKzV/LvAcQCTI6M9yvKB8ndf/nckp9MipOVmgpXYJnp+mZzIz5qjcmJ71XDUgE2QkH/Z9Z8bHAE1Gu+GrxbL4PMUAuroMoVnKzbXSjoMePsbIwYByhF7ts9TOp+Y3TlEFFfdQpdQq/wtoBj4KfHbBpDPUHZ3J4Nz4KTJjY/zLOX9I1LZ4+wUmNHCpkE3l3nrOdv7m3s8zPDrFJ3++1yS9MBh8KKXuBM4CHsOdP/wccL5S6p66CrbYRKLe6Lxmz7TN/eNR7hiN5Sm5jx445Y5Ml6DawrC1IBvONtuvWqlaTYfKZRTLHrSEwZBlX5l6TRx8vvQ6j0cnIm6B1t07YGy07LYlrzPAuCw3v6eQ4bTFRMH2oXKGRyEBGSmDeGDE11bpYONz2DOaKz17NdcZRNl5ZqkSBvKh54uK31bKSEBSGIB7xmI8O1nQH0dP5WqmZfENchTWq/Izh6jAQBzt8zyVPNNsB8mUHIgoChGs9SCOEO6gzdHDHJllPtdi/YLNOf5cKZWRUn4U2Af802zbG5Yn+pv/Dk89wm2veR9Pn9C865JeWuPLbtrCC5psKvf1P/se//Mn3+Cz4rXc8uvd/NElQ/UWzWBYMiilngc+WW856opleROJ8jWpad/H44eCJ45n1aGynjGPcnpaqcnylXAsHXK9U2X4VcDoeS0o6zEplfa+kD0BxVkrRJ84Bt09RcutisLYXEYdqyjWK6NFdUbWXAg4fNYTUdGZ5ztJbL6XV874PjWcf6pZwkzBSyGe8hmrxwKSVPnOmdr9LPR7KckL5g6V+jZpXd1lPzAeYWO8wn7sUWgoah2cxAa8yGNvYGHSsTiRyjBr9dSAC0hpMRPuW0TW8ziLMb5Y/oH5asovpXR5AcMyRz94J/p7/8mey17D1062cPFgkstWNtZbLEMAQgjEi17JVd397PzOndzGhayOPcuV566pt2gGQ12QUv5fKtAxlFJvXgRxFoVZs8FlNYsCD/eUXyEZPg4BP/MV10mahRekbz0wkcg8Dhe08NhhnKbi0Pxa6Irlwh9rgi6vJsYsp7wBW680cDkBKt+0VHr+aKwgJHaODBfMeSpx69x8MpXf13GndDHxUgTVmio1ADN+8pRbisDj+UkLKzyLfCW+V/ePB8yhEsy0ReAc0IJNF4NqklzsJb+XJXBnw/1prYUy1B99cB/OzZ8hPbiOf+64gobxDNee121CA5c4YuNZ/GGikd3f38G/Pt5LP4+w/twz6y2WwVAPgmfhv4CpSEEKGI2fb/hVRXJkF9ZbV14IZqkrVi2jJcLLSiUNWPKU8TpqICogGnLyilXXkqLklXM5wBLFDREs/v7eNRalocpEIAvJvuGCpBba4Ui5sFuYNWwXIGk5voyflf2OLZYeW40H600Fn8eAp5VSp4I2Nixf9PgYzg0fhZDNN1725+zcMcF1l/XTHDOhgcuB8MrV/M1vNfDuH+zmYw/Bp6buoPPiS+stlsGwqCilPlRvGRab4YzFL0ZinJOoLkNXukCBfGoyeC7TL0ZihOcZTrZ/NqXKkEs7X0hAMo2lNt02sH9UVTMraKP5XaRGsKNEn670CPOmBkp9UDIVQXDzpLUonTWxBEfnUIuqYg7mFygW1CZUL6/mnnfAsnMuF5Fq6mD9bCEFMSwNtOPg3PxpOHyAXdd+BPXEBJcPNXHRoAkNXE609HbzvpdFuO72ffzjw6f46Ph3iF/1G/UWy2CoG16pkTcAfcB+4FZfbawXBFnF/FSpcKsSGk2mYOT3cBkjqKTy72N/yi6pXdQq1PB0xCkMD8NNW95uB4z023bJBBO1oDecdgtRF1CtKaIRaO9vua0WlUKLpe4hih4H9hUtOpG2Ks68OBuHK5hfWSuOpUN0h+ffP2e8nqk0HKmu2PdCU02I4GkXz346or/1NXjobtKvv4Z/3p+kKZbhmu3d9RbLMAdW9bXyV5fDP/7C5p8feZh3j30V67feYMI8DacdUsq/Aq4Dvgg8AAwCX5VSflIp9b/rKlyVxOzyqihAtEovU629IMfSoeB5N6FQRWE/hmCyqa6nfE17MmMFG1gL/DufsII7TbVdacoRREOz7bVEDJw6oo8eCszieLSGRlGtQ4VnY6l4mhaKaoaShoH/gVv9bp+376u95c/6XoZlir7/V+hvfx1xyVX8R/v57Bqe4u3n99AYNSEdy5ULVrby+9s6+FXXWahHjqK/9m95BTgNhtOEdwEvVkq9Ryn1r0qp64AXe8uXFed1xwoTiRUx5cxWrjWfBflFGB1ZiKMagMcm8mt67SysHwbMeyp/uLzyW+roc0mYocscDyidRn2xqIUHy3FmChjPieHj85dhFhbbwHqhU435uB74DaXUL7ILpJSXAu9XSr285pIZFhX9/G6cmz8Dqzew4+o/4D9vf54Xr27mvIFkvUUzzJPf3tzB3lMpbuVl9Dz2Va74wj/BH/wFwp5PTLrBsOwoTHqxk2U4NK7v/xXMkuB4R6DCTUktdra0xoalRUU+wIVOiGG6TFWEU5NF4bUb49M8MVGqAHZlzOcHbDCSYs+00QMWimoMrAuBOwuW3QVcVDtxDPVAj424SS1iCVLXvIfrf3WE1rjNH5/bVW/RDDVACMHbL+jhyHiaz/J6Wh68ia03fAzr2uvcGloGwwufDwJfkFJ+EDcCYwXwfuDvpZQzkRxKqWXh3p27bltqDpahHrSGMpyoMhHB4rF4xVqntSC+0LW45kMNPFhB7dVhO1joedWGmw+Ns4ZmGuZDNSGCDwAfk1LGAbz/HwUeXAjBDIuDzmRwbvwUnDiK9SfX8aWdafadmuYvLuqlIbJUf/gN1RIOWbz38n76m+N84uw/5rldB3E+/f6Zwn8Gwwucf8NNcPEUMAo8CbwRuBFIAWnv/5JHdBYXm6185+DFSy0T3enCXJu9bM2oColamsFImS4fi5fdf/aZgJUz5Ygl7hBbul+QxZSsKVTr8af6tKtOLc5PfTUerLcCXwVOSilPAK3AvbgPqVmRUr4CuB53DtdNSqmPF6wX3vpXAuPAW5VS93vrdgEjuANtaaXU9irkNpRBqy/A4w8i3vwO7osN8N2n9/HqM1o5q6eh3qIZakwyEuIDLx7gb36wm3+44M/4xzv/F12fei/WX34I0dJWb/EMhoVkVb0FqBnCqrlaUklmwPmfZHpZJbhYHU0Vz21q74KJMSITozXJ3FZPtb01lKEnnCkdIjbLfKFqr77BchhbrhkkpwrKHsTigQknyiHcglUVL18QwmHwGRfV3kMBEInAdG3CTxf60jfEpjmUCjHs8xK/qDXD+FKrg6WU2gVcLKVcgZvm9oBSak8l+0opQ8ANwEtxwzPukVLeppR63LfZ1cA673UB8Dnvf5YrlVJHK5XXMDvO7d9G/+TbiJe+mpHzXsy/fOc5VrZEedO2znqLZlggOhJhPnjlCq770W4+cum7+dgdn6DxE+/BeueHEV299RbPYFgQlFK76y1DzRDz9Dit3gA7n8pbVMtMZCWp4ST99bFpwgIOpkJuxsIFoCecKTawhGBtW5S2E8e4eyw273MEFYitOckmGC0oVxqLMxg6Ufbsl3SFuP+Uw0S1RtFcL6mWTZFogPGx0uubW+Dk8NyPb4eB6gysudJuZyhzJdX9FkRjwQZWxQajhu5+2PtcFSetLUGGui10YIKOrrBXvNo3rmMJwFocQ7+qs0gp24EXAVcopfZIKfuklAMV7Ho+sEMptVMpNQ3cipuB0M+rgS8rpbRS6k6gRUppNL4FQj98D/rrN8G2C+B33sJn7zrI6LTDX13cSyS0TEeZDBUx2BLlfVcMcDgV4kMvei+jKQfnE+9B1/FH02BYSKSUzVLK90sp/0tK+UP/q96yLRh9K6CpOBmGqKFysS4291CbaIk035XQEnJoH1o55/3njBC0Da0kWqMmrKYFequtGZQdpW9tL17X3YslymdyD1kWa6Nzyd4XfNDZrrVwL3s+c7Lis0TgaKCnv6pD5skzBw9IqZDK2Y5UmII/YeWH6TnC7YwtoWDvcFjonDdS5DruuQ1TOYkqvB4B9DTWLinGXAYYgjKolit+HgrYvpa/geWo+CxSyitw49ffiDs5GFxv0+cq2L0f2Ov7vM9bVuk2GvihlPI+KeU1ZWS8Rkp5r5Ty3gpkOm3Re5/DufF/wYohrD9+Fz9+bpS7943y5m2dDLXOf1TOsPTZ3JXgusv72TMh+NDl72Es3IDzqb9FP/P47DsbDMuP/8AdHPwJ8PWC17Kjxa5A+QxHEV29WH7lY3qq9PZzICo0m+JzCxcqpXD2lTAkkj7FMnzmOdDcUlv/T4UJfyy7drV7qgn2XBsLaJdImQx0fYMwsBIRDXqmW76/Lm2FtbSERUmzKBQi09QavG4uymuAgn9GKeM9UYvMxhpCy6MGU2Fr5hXqTjZB3yCNIafkgMWW+LRbdBry2jlh6TkZWB3xytttQ6z4tyFuzTKPqyGZk7eEDIVEyojvXzUvo30OVNPDPgO8Til1uzcHC9wsgudXsG/Q5RdeabltLlFK7ZdSdgE/klI+qZT6eeHGSqkbcSctBx3fAOjhYzj/8hGIJ7De8X72TghuuvcQW3sSvOqMEj+Yhhck2/uTvPfyfv7x5/v40CV/xQfuuYHkZz7gZhc800xzNLyguBBoV0oti0QWZan0yeY9UfvCGfZNe4/6ucydaO+CY4dLnEKTnIcnKohESAemGwn5lKOQJUAXKw0Jy8lXQEsg0MWj51aoYBsP//ULUayLJhqgdwVb9j/Mo76U2xGhi+ZpddoZjvhCGgcjaR6ZqDzEsSOs2eeP5ApHS9/TSARRyojw3AB+6ZKWJi+Is4yHS6xaz3RzBA4/lLd8KJpil5Pv4ci2Q1RoxoMP556reFEwkQiBB8q7T/mrBiNp9kz72kLP/KmYvK3n4MFqDjmByUlm661Zj01h38lKJeIJLF9/7rAzeSG/sXgMjnkDK+kSP3+tbeVDKrMIELMV4QuQPUtXOMPaaIpTGSvvu5JHLAFCMDh9PHB+YNCghFXGcKqnIVDNUMOQUup2731W5mkqM9KyaXGzDAD7K91GKZX9fxj4BpUZdYYC9OQEzmc/CuOjWH/2d0wkW/j4L54nHrZ458V9WIs08c+wdNjen+S6ywbYNZrh77a/g2MDZ+Dc8FGcO/+73qIZDLXkDmBjvYWoBfrw/jyloeSIsIazexvoD/IIzVJE1o8ICjHzmE3XCrV2BK/oGSgZHhQqoRLln0sQpILHLJ3vGWtozL33eT7OTgQYJaU8Ms2+5YmGYkOgbxAhBM3r1xEZWp3bLSDjmv8R2xRyKvNE4ibcgABlsdQzu29FsHFVcMP8n4rCrOxw2cKzQfrCikgmLwwNoC+SZkt8ms1xT7nvX1Gwly7aB0AkG4uWAa5BW4bBSJqEnS9bkQJu21WlXm8NZfIz6M2SYTGIthIZ+IpkK/BKCuCK1gwbYinWRFOBHmN7zYaZyykKtZz2WeSxRN667JlFvDKvoPut892rWby5hXe1PZQhJPIHS/xsiU9DshEiEdrt4PYK6vKhMhvYdTSxqjGwHpdSFhYUvgp4pIJ97wHWSSlXSSkjwOuB2wq2uQ14s5RSSCkvBE4qpQ5IKRuklI0AUsoG4GXAo1XIbQB0OoXzuY/Dnp1Yb3s3rFjNZ+88yIGRad59aR9tVbh9DS8szhtI8oErV3BkwuFvN7yFfRsuRH/hn3Bu/3a9RTMYasVbgZullDdIKT/gf9VbsPlSWgXWxVm6soph/xC94TTrC0N4uvvyP8+SEj5UcP6V5dJ++7FDaA2NBUrnhth0bs5EgWFXpERZxWPZtoD1/tAyv7LVnJuPlmxKFimqorEJsda1wbc3TLnXlWzK38YOIwI0vGTEwu7swYrF3ExtuPPTWgvC7vzGXzUpr1u8bYtUxSALt38lolQYXYHs/o9FR+rsob3Ldw/68g2jgaZIYAhYT7T4ulptZ+ZclSrzdAZMwbdtd35VYT+FGYNpRSTNyhW5Gp7d4TRWsy9LbkMjtHZU5drYkkgREZ7LdHB1Xr/oLhjAKJm+vsQXtUgJL9jdau8k5HkT+yKZQMNDxOIzu0WyHuWgLJAFYbBzMT3ssO+4BQYb4PY/73tkoWcGBwBs7/dHAPTkp29IWA5ta1aRTMSgpQORbCyafwbQ4PeYNzYD+QabWHNG3vYDkQwDkdw9shrLF2mvJdUYWO8CviKl/BIQl1L+G3AL8Nez7aiUSgPvAH4APOEuUo9JKa+VUl7rbfZdYCewA/g/wJ96y7uBO6SUDwF3A99RSn2/CrlPe7TjoL94PTz+AOLNb0ecdT7feuoEv9wzwu+f1cmZ3SYl++nOWT0NfOylg6Q0vG/gNTyy/VXoW2/E+X+3oJ3lk1rZYCjBR3EjJLrJZatdB6ytp1BzoTDbZ0kDq2AuTERoaHEVZmGH6W1toDvssNGvJEfyFTCR9d4EKbRAvCA8cGVHwbOklIfF2607nMkbsW8JOTlDqrUDwrl1eaPejpM3ep6wHCyhWRNNYZdsEL81Ub7uUlRoxNkXQEBm1cL9BpoibO5yFc24bc0ojnY4TGsZI6qSeJGsdzLbjEUZ4wLaV8QDlF6PoQDjx3+oLT6jUwiB6PWU4EiEaEP+vQ1Zgq5wgLJf8gwlzpv935xfKiSw6/QPegZuwMqGZO54oVxomQBEJDxj+JJsdJMclJu/Vgo7jPB9R4aiKdYHzY3zOL9hcuZ95YGg+TdZVDjnL7tXo+W4Ro3vu8OKVe53uKADVVs/WWsIR3xhew3FxnJh/+uPePpDazut5547I2uhhzL7a6Vxk1CI1nY2xVN5BuxljZNEY177969EeL9L5QwZS7gZQbPHjm5bvAC4atK03yml3Aq8CbgZNyHF+UqpfRXu/11cI8q/7PO+9xp4e8B+O4GzKpXTkI/WGq2+gL7754jffjPWpS/l/v2jfPH+w1wwkOQ1m0z9I4PL6rYYn3jZSv7hZ/v4UONlvPmKHl71g/+D2L8H623vLvvgNhiWOK8H1iulDtRbkHnT3IY+PA4hCzJOkUGxvWGKe8eiboiY36YYWosI5ZQuEY7ABHSEHcjqgSVi/kRjM3psBEZHZpad3zDpbu5X0ppaYf+h3OeAUfSt63p5eBx6wmlEQ9KtcJk9j8iFTAnLQg+shOeecQ/lbdNuZ8DJ5CUpGIyk6fSU/dbCUK5sinIL6F8Jz+8G7dAccl8nMxZ2/xD+9B8CsKIxhDWNLtBCs4r/1sQUE45FX1suicTGzgS/nszA2o0w8RyMj7ipse0wjI3kHyfIf9DRBXYEDrpqVeEWReZMQGhdICvXgpMh2R6m8/nDHA3ZhMIRSPsMKjSthd4Rn5WzrTfBXc9QZNtsik/zuG8+TdzSnKBysl3I6h+E4ccgkzUqBU0hh1MZ3zVmrzcoM1w05irnAnzpG9x7qXXRTiIccUNYJzwVdtU6+vY9wf7U7Gqx8LynKzzjYTCSZk+oCSbG6Qw7HE6FIJEkauUMrEJvbZZycwb7+jpoDjNrCXT/11AI6LEz7HRy3z0RjUE0hh45mbdfXv8KKN9QiKYgK18sP4FKqNvNSxey3MrteZIJ955q3AGeQgo9utkhkP5whkO+eyKK3uQyknbaGYJqOWV93YudH7siA8urY3U78HKl1CcXViRDLdG3fRV9+7cQV/0W4hW/w57hKT51x35WtkR558V9geEOhtOXnsYIn3z5Sv751we4Ze86dlz9Af7nj/8XDf/411jveB+iK3gk22BY4uxkVjVlmdDShtUyCW1xOHGU0PixvNVWgXKZNcBWtid4ZjjtWxek8JVRQbr6oHUK9u7KW5z3COkbhCd9BlaAAdCSiHBJcxRxMsMhBOh8D7nfJBOh3AwKW7hGXUQAySb32RWLwWgK0d4Jpw4Vy5P/IefV02BvOZutjz3AfdNJrMYmGBkp2u3iwUZ+uTu/hlRWZWwOaZoLUmOHg3JCd3RhTYzhFOQQiFs6L7HGhtg0080RdolGdGcPHMu1oyj4P4NTWZihCIeBMO0dTbS0tTCUcQidyDfxsseOCE1HNjQr2xAaorblJqzAYmtPbrCtMGStP6rZX0UuFcc7c6rQPWdZbIlPM6UF9415XguvvSIhQeApQlaR66sznGGyVHheRzfsdw0sEbIZiqbzDSzbhrT7ndGI/Pl4PvoiafZ4htL6aMo1sAqwBQxGUjOJG7LeLUtoHP9ct/buGQN73aY1aG+Awc/5DZNMONbM/BxBzvie8e8FZXMs0V86G2xitsVshW01wv3erVzjGef5DRtqbYeREZKREKWqjIm1m9DhBBzPuMc5cZSz04dJeEaSnU3AovO9tzP7z7zJregJZ7AFxIT2DCzNOd48SxEOE5lO0bNuFX3Ni5sluyKDTimVAVZVur1haeB861b0t7+OuOQqxO/+ISenMnzkv/cRtS3ed8UA8bC5nYZiEuEQ77msn98/q5NfTSb5yxf9PQ/ShvORd+Lc84t6i2cwzIX/C9wmpXyDlPLF/le9BasWYVnYAytdpTkWzxkknodZALTkFMGQcENrehoL5l8UeqRd9xEAFzRMcmFyMn+1ZSGiZSb3RyIB9WWCY5CyerCrtOaiKLSGhlBun8HmCLRk12ui3n4zA4Nh75oqmlchcmGF3b1esdjyIW22JYoGISselNQ+lTfA0LQFiNY2zjtvE2clpugKO7RGPeWyuRU6iue/beksaP9M9XWqQpYgEQ4VXXg2ocUFySnWNufqJm2JT3NuYwqExbbEFJuHOmmJFY7N+4z6CprnjIC5WyPTGTcsNEtTCyHBjOLtimOxsTPOhtb88L6Lmryxk5XrENsvmQl96wpnaA5pOiPBgomgeUoefeG06/nzsPsHES3BCV/CAmjvpN3O5E4TK1bms/Z3U8iZqaW22qs11mpn3OQkyUa6w+mckXui2CcTtaAh5PjcVvgdRe6tDboR3vczYTkz86TATViSjMwexNgZdtz6aeFI2bl0AgKSkXh9u71z5nsrwhFEVx/JkPYKAIfY1BVnXXuMuDcyVHgVucvKrbGB3nBmZklzyMn9jqzZiHXmOWxY2UVjS/6cyoWmmswGHwI+J6X8e9yMfzO9XilV+WxNw6LgfEehb/sq4qIXI978DsbSmg//dB/Dk2k+9tJBOhtqVyzO8MJDCMFrt7RzVm+Cz/zqAB/e8EZeOvoUb7r5BpqefBjxuj/Oi0U3GJY42fDzjxUs18BqlhkZb7RfNLVgNSfgmWfdifeZNCExOWNwFDpw/OjeQURnJ2QycLcXGuQZAhFP+bMtSFfydA9HoLcwO5wXhogbHjXiD/VKNiGaWqB9BWI8BC1t6N07ECLfqGuO2YiObnQ4AieLZyM02XAUiAV5joC1TRY7jngfLOGGTa7diOhqQk9OZBfns2IVYqi5gouehVgCGINQCCtk4eAp4llx3GAp4pEQsVCxISqaWtBHc8mWxZozaDljM0w+DPu9kqHeDW4OZVhz5hncf2ii6DiV0hn2e+OyGSmEm6DC0gghiF90BX4TTwwMgdZcsHc3mbKmqoc3py0ZcL1o2LiqmyeOuqnWLS+RSaHXpbMhzMmx3LkEmuxYsbAshBUCMjPrAELxBIRTXh04L/SsKcIpnxiJsJXnQeiLZBiL2UQ8Q6c/aUM4zGTa4cREQfKSFau4vLcTPfyEb6Eo2ib0rOsjavV5PrPZG6MiV5trXTSd2z0gG6Ro74SjR3KfccMpT2RC2EK7+wYZWMkmyGSIdHVAa5wO2+FkOM3q1ijDk+XnWl965gBWY0veAMOa1iiTB9I8Px1gSiSbYMQfLKoD3hXQ2UNECHobI+hT2WsLDtG1LcALRfQ5Wr19fFghREOJjJQLTDUG1k3e/zdTbDdXPn/PsOA431Ho/+/fERdcgXjrnzGZgQ//dB+7hyd57+UDrGuvPsWo4fRkXXucT79yiK88dJTbntzAry99H2966jZe8rG/JnzNuxF9g/UW0WCYFaXUqnrLUEsaozYHvfeioWFmNFqfPO6OkgcpVz4vysbOOI1RG6KN6LTPC1LG/VA43WombO2MbYjhgP1WrMLysnxtS0zzi5HciL6wQrDxLDg1DeOT9CTD9G5cQeT5Z9EliiH3RYq9NQMJQWvDFA3R4JK9fZ3N7Hg2a6QUyOh5L/yFeHsbwyTbY4hoQQKESNTnSauQobWIaBsiFaWrJU48c4ruqROMZgTDmVAuTb3tT8iQL2Nvg82ukQxhoREd3UWXsaXZ4tFRWBNN09jRxhUd8PNd+SGN4CbiiBQaoXYEpnJt7Tf+aOv0zpVdGKwSi/6VAEQ7e9AP3uVtqtmadHh0Kr8mmWjrRIRdwz/obmmgMxHmOcutF1XWXPP1UyGKkzVocBNiNMcQSeFmm9vthoCe3R6iqc/1ZDxwLLfjWT0JhM+Gj1uabb0NOHtc71g8bLGuPc6TRybIGnAzMnjPwbK1shJJusIZ0rjzirK0hhwG+9vptdMc9OZI5u26ai08/5y7vL0L1pwBJ47lG1gCVm45g5YnH6e5tRkGhuCJgxQihHBDjEMCYYWwBKyQUbyKAAAgAElEQVSLpbFCVtE15bFiFaHurqLF7XGbaDRNCGhcs4a9/pXRGHoERCzB+tQk08mcuRHUm0Qske8dbnTvkdXdB6NROOxOn3W95JmZMhQn9+S8oYEGVh1nwcwaIyalzPqpV/leq71X9r1hCaC1xvnPL+WMqz/4S6YdwUd/to9njk3w7kv62d5fiyrohtOJSMjiD87p4tNXD7Gyq4nPb/gd/rr/d7j3hs+T+el30RXOAzAYDLVhY09uRLZS/cGvvORFMPiWb+5OsL0755n2K/yFStHM58b80eFsWmYRjbGxO8nmgLo9WTKeZhwOCRq7OhFnX4jwpcCeibYK+QwAvxJmWV4IWUArrFqXd6xCRDiC2LiV1ZvWkoyGuGSwkXXtcXobi7PLicHVrsetAjZ0xOhssF0jMqsk2jYDZ28lJNw08m7omjfHJByeMZ788+K29zcwePaZXJqcLJkZsTFicVnjZF5YZZZLBnP3ZXVbjIHmgoiDbAr+9q68bIliyzlu1jlPImDWfN5+IxUNHZH8hBni/MsR6zblPhceoKu3dFibj4YZV1VuOwsQ0eJoChFvcBOVNHleF2+fBv8UK0u4oWxNLUFS5VNQ0Llx5v6VyEZYEBYqWtqwN5/NYEMoz2tqn3cpqzauJbbujJkQW9EzgFi13rvoglIBokToXFsHzZu2wIYtiMbmXDHplWvY3JU/qG75PJTBshd8toJ9KFnv0spomvbezpnlLXEbEY0RP/dCaGmjO+ww2Jhr+KZoiIRvioo481zYvC3/2E0tiHMvwVq5Jv+757VROuOQCIfoDshkmX+g+k2FqcSD9TTQpJTaDSCl/C+l1G8vrFiGatGOg/7ajej//i7i8lcg3ngt42nNx362l8cOT/DOi3u5aLA+blLDC4Oh1hgfvWqQX+we4d/vt/iHxJvZ/PizvOnh69n4e29AzFIzx2CoF1LKJuCDwBVABz4VQim17NywdqkKv3MpbDNzKE0ibJE4cxvOXT8DYHNXnAcPjudtvjUxxdFUaGYOSZaswjSwZSMdUynGmuIMtMQ57Cna2xumSGfTvHlkQx1D/uvZuBViJwtk88vrW7hyjatcezWzRGcP+shBLmiYJDTkKmXNIYe0hrGANhNNrTQDazraOHo0KP8Y9DVGGEtlODlLCFWW7mSE7mTpFOBRCzbECvKtzFyT+z8S8uZJESrSgfsawsz45EKllcfZikCL7j5oaUccmEKnUpCNLoxEc8b4jAOrmo7lbptN4R8XOmAeW/bw2k2c0NDozgkvUZirf8MaTmUE53gDxDHbyt9s9Qb86eMCxZ2JI8ut3D7Ywo9ODuatLok3kLiqNUo8bDGQHTjYet4sO/pEaGxCR6KQmna9zo3NgfPAxMo1ufehEFaiEU4VZqGEopTueV7W3PW2J8LkbnCub4hzLpppj1BBh+kJp1kTy/DLkWjpzuTtK6IxLzTTq0XWFKG7IUzUtnIDsL75mbYl2N6fnPG2lqrbJmwb4WWVpGcAkRjFEQ1w9Pk8z++MONn9unph1EvZEbDdYlGJgVXYsi9aADkM80CnUuhb/hl9988QL38N4nfeysnJDB/86V72DE/xV5f0cfnQ4k7uM7wwEUJw+VATF61o5Ic7TqDuz/BeZw3bb72T310dY8PLr6q4bofBsIj8KzAAfBj4d9xyI38N/Gc9haoFWaWiOxmmrzHt5kqcY1hMqEDLbCpKZgBNlqbZV/snErJY0xajI+FuK1rbiQOFgeiFNbPADQnbe3J6Zl9wwweFN+8kp98HBSfipnse8Lwt510KwkJMjhPt6psxPrZ62cSGu+I8eqJ6b/vadtc74w+9E2dud9OuVxs2WEhBe2cT6RXeBz8xy+cZKnOfs0ZNe6L077Hr+ckPyczzyGSV4mj12dd6wxkSlkNz0PyyFavgiQMI20Z78wXXtcfzQ/8A0dCIHjnJmv62vAQqkXAoV44AvHlKuT5ZzhwUvr7UGLUJCch4NYTF2o3wwHMldnT/RW2LlS1RHEsgEsnSzzv/zfEbUes3I4aPu+F+BVgioNYZYK8YgoP7i1d4lDUoAw444wXzGR9tcRuSjV4pBsHaaHr2hC5BXmXv+NGs2zVbRzMoq2EFWFlZk42IoX6s0WnQyaKEOmJgFa1TE7TFbVYnkzDqrZhLvbMaUYkmNJcxMcMioUdP4fzrx+CZxxGv+X3E1a9l/0iKD/90Lycm0vzdiwY4p8+EBRpqSzgk+I0Nbbx4dQu3PbCX255axXuGo2y7+XZ+d1sPW843pesMS4qXARuVUseklBml1DellPcC3wI+XWfZ5kVWuYrZFskQ6ELniG3nz7MqIqccZUexRSjk1pDysaI5wsHRVKBS399UhRLjyy6WjIbKDv7FbIvOBpv+kA3jJTdzZc6GMW06O3B9azwMJ4Lnd1WLSDQEZEmrYL8t56Ifvc81bFraoX/IXeHdxJgtEClY3VYmgVDGZ2CFI4hYHD2VSw6ysTPOdMY93gUDyeDU8ZXKa4dh3SZ3DlOl+LT9IOMKQPSsgOMWVlPTzOaJsAXC9ThOJppdxXr9FsTEeLEy3dDozv969jCWdvv29v4GJlLBtZTy5Co41ubuBPtPTbtOmrh7T9vt2b2V4txLfJki8zm/YZJMRxiR3Ip1OINj+QYQItHAAtYA5/YlGU9V4ClNJLxMfa5up4PU9ESC2MkjM2GqebKX6BLtQ4McG51i9aGnSyfK8B8na1wGGIsz6GIPVjUUeta0pqg/ANC3AlsItgB6eNJXF6x+k7AqMbBsKeWV5H6FCz+jlPrJQghnKI8+tB/nnz8Mx48g3vZurPMv5+59I3z6VwewLcFHrhpkQ4dJaGFYOOJhi9edv5JXbRvgez9/hG8+38H7nomy6Ylf8LvnDHD2liFTa82wFLCAbJXNUSllC3AAWFt6l+VB1rvjfs0CFK0t2xFTZbLL+VJwZXVxsf3Sos1WtcZY1RrDKT2QXhGlwoFKibaxM4E+eCKvkGpVWCF3FL0OczFsT9iZ2j4NSVi/BZKN+Z6iZBMcPYSdSHBZd/loE/+cV6t3BfT05zks/fPronaF11zOE9bWWXplsIQVbSMam9x7mU0vLlxleM0F59LtWF4ZGSvQQACgdwAOTiJGj4NtkwiHvLBK6EjY7Bp2k5bMkL0HBdlvW2L2TNp5rTUXJyeDkxMUFpwOuSGcecta2tDDx91yAhEL0dTKhQ1OZZk4cZ+nlZTPEbEE1rkXI54v/b0+b2039touRLhYzS8V8RcNhxB2mFi22Hc4QqedobOwPEBWDjuM2H5p2XT3NLfBsSMzxqCf9rhNpNQEwwKKkrQUyuL/YUgujekwlRhYh4GbfZ+PFXxelmlulzv6kXtxbvonsATWuz6Cs3ojX3v4CLc+cow1bTHee3m/ScVuWDQSkRC/c9U2fmNikh9+75d842QjH3p4irUP3sVrz+nj/I0rikaiDIZF5CHc+Ve3A78AbsANInm6kp2llDcDvwkcVkpt8Za1AV8HhoBdgFRKnSh1jIUi+70KWwI6umHfrrxJ6SIaBS8JwAUD5Y2bpTYYEhgqV6WMoiGJHnFt6w0di1totDsZxtHQ41P0RWtxLSXR3QdNLYjC2mRBZD0CM8kblk4SZxFL5ELCypDL9pazsLJ3NRyLEVzONx9HAx3diI72okQTUdviksECw6ytCyKxgnlKxZLNDDL4a3LBTJ258hT3zXDIIjzPW2S1drgDE17WRiAvNDETYMAlypy0IxGsG65ujREPW7Qd9mpsnXEmG0dOIZpKGFhQ3rjCnRdJa0dgKOXm7kra1PVOhq2gWWduMgx9Kr+ssbDDSyL0blYDSyk1tAhyGCpEOw76224BYfpXYv3JezkYb+f6H+/hiSMTXLmqiT85v6fykSuDoYbE4jF+67dfwitOnuQn37+D/xpt5eMPjtNz//385tpGXrJ9TdkffoNhgXgbOe3nz4GPAy24ZUcq4Rbgs8CXfcuuA25XSn1cSnmd9/k9NZG2CgZboiTCFj3JMKJxJfQOIPaMBW4b9FyYMapKZMm7YCA5E3IGeNngBPqZx+Yt+2zMDMo0+1XuKo3A9ZsRp04iwmG65zHmuK0ngVXlIJEQgr4KwycrMq4gN6dmjiFXhZzT14BOTbtD5/M4pjjvMtf4ffje/OVrc9kDt/YkODWVmQnda4hYM/WXqjXuIyGBsCy6WirzVohQqKAfBZD1BscS4JU+EGdfCKeGK/Pk+S+hhh5TEQ67mfb8y3ztdXyi8oLT5UJyQ5ZgoCmKjsfR46NuwpMqkled2dvI0UiqaPl852WX1RnWb0GkikN/xaZtJbMfLhZmNvoyQp8axvni9fDofYiLrkT/3p/wg70TfPGnzxESgnde3MsVQ01LbhTScPoRaW7mFa/7Da46fpRf//CXfGskzk07G/jqjsd4aUeGV158Bj3NJnzVsDgopXb63h8B/qjK/X8upRwqWPxqckmfvgT8N3UwsEKCvBTcYi5KxeoNJT1DUdsi6tMUsormnBIWlkppXUDYEqR8k/NFPAHnXYq+545cevFKz2mHoa1j9g1nISjhx2Ig1m6EUV9tq2QTcKB06FyVJCMhtHYTbs+neHx2XozesJmwk0bsfx597HBeIhB/ON7W7gTJaIhf7RkJPN5sREIWF61oZEHGkiORXMr0SNT1DFfC4Bq3RhXMZLZclpyxFTF2atbfkkJds6cphj29OEklupPuaIkIhSBUPDghqpk3uEAYA2uZoB+8E+fLN8DEOOKN1/Lc1iv5t58d5Kmjk2ztSfDnF/aakEDDksNu6+Cy17+aS8dHeer2n/Ot3VN8S6znW996jnNDJ7nyjC7OO3OIiG28WobaI6U8F5hSSj3qfe4EPgNsAX4NvFspNVrmEOXoVkodAFBKHZBSlpzpLaW8BrjG25aOjvkp/LZt0+jVn+roaCdckK67Z8RibDpDe1srDdHZH/NNXsHVauSaaHLPHy+zj23bNDblPAyx8y5DxGYfWHlZSysTKYeWeP4zTV/9muAJ7vPEtu1535MFwyeXbdu09vZxLNxMZzJCR0dtlEitNenJLYT6BrDi1SfvKMS2bToHy88cyV7VunSUgyNTC97+jQF9vPC+6/Z20jqD3TcYWFurEiaeewIr0Ui0q0zihyop1T+z12SJ2b+7QddfnuBEHP5jdXZ05IX+L8b3qLHF4YRzgrMGmklW8NtWyGJ+142BtcTRY6Po/7gZ/csfw+BqTr7jH1BHo/zg+7tpjIb4i4t6uXKV8VoZljYikeSMV72SDZkMR+5/gO89tI+fWn3c83iK5MMPc2n0FC/a1Mv6LWsJLYACZTht+QzwIeBR7/NNQB9wI/AG4JPAny60EEqpG71zAuhSNZcqpaOjg5ERd+T/2LGAulhTE4yMphg+oZmoYIg/e6yjRyt/juipFHR0MVbmWjo6Ohjx1e8ZGx2D0eDwxSCOVr7pvOjo6ChZB2sp0dHRwYnhE4yMTNEsIhw9WhyONWea22Fswn3Nk2raszcCve1iwdt/bdLh2Hgq7zyBcja2wsiI+5oDemAtxOOIGl5PqfbMfm/XtMVmbb++aIqjY+matLP/t8fy6Z6L9T3a1AyTI8NMzuEW1ULGvr6+irYzBtYSRTsO+pc/Rv/Xl2FslPGrX883V72E2+4eJuVM8Ip1LbxxayfJqBn5NywfRChE13nbect523njieM8eNfD/PT5SX4i+vn+Iw7N9z/AuaFhtvcmOHvbOhJLdVTZsFzYiJvUAi9z4NXAFqXU01LK24BfMXcD65CUstfzXvXiJoRadIJMorXtMfqaIgs6F1dsu2DBjm2YHTOmWh2N0RCNi6AviRqFblZCb2OYAyOpimYlzlYAey6YLlgeY2AtQfRTj+L8vy/CrmcYXn8O37ngjXzvoGb88RNcurKRN27trHjirMGwVLFb29j+ihexHRgdPsl9dz/GPfvHuMvp4CeH4oS+d4g1U4+wOT7N5u4km84YJNHXvyAhQoYXLDYw7b2/EDiolHoaQCm11zO65sptwFtwE2a8BfjmfAStlv6mCAdHpwNTLltCkIxUrkxu6IgRCS3M90oMrUPveiYwe57BYJg72cx686l1Nh9M5FR5jIG1RNBawxMP4Xz7VvQzj/N07xZ+9KoPcsd4A6m9GS4ebOS1m9tZ3ba4aWYNhsUg2dLMFS+7mCuAdDrNE48/x/07jvJYJsxtThffOBTCOjjCqrGfsska4cw2m02ru0mu3bCoI4aGZcdjwO8CCng98OPsCillP7naWGWRUn4NN6FFh5RyH/D3uIaVklL+EbDHO8+isaYtxurWaE2UnFqPbPsR3X1uUd2AejyG6ulI2Ow6MWXmXBsYbIkSD1umLyxRzC9endGnhtF3/wz9y58wduAAvxi6hB9e9QZ2paPEJgRXrmrm1Rvb6DceK8Npgm3bnLl1HWduXQfAxHSKp57ey6PPHeExEnxfd/OtSRvxmMPQXfewefogWxJpNvU207RqCFaudQt6GgxuVr9vSSk/D2QAfwXd1wG/rOQgSqk3lFj1kvmJNz+WywjyXBMGGIpJhENlU20bTh8sIRZ0cMQwP4yBtcjodBp270A//Sj6qUeYeOZJ7m45g1+tvJoH1q4kjWBVY5Rr17ZwxaomUzPIcNoTj4TZtmU127a4WammMw5P7T/Jozv28+jhZn6Y6uHbIoQ44bBy30G23vYVtjrH2NwWITa0CrFyLQyuMUbXaYhS6g4p5SCwHnhaKeWfFv0d4Nb6SGYwGAyGFzLGwFpAHPUFOH4UrR0YH4Ph43D0IAftJh5qW88DvRfw4MWvYxqL9rjN1SsbuWKoibVtsWUzMmkwLDaRkMWZK1o5c4VbNDKVcXj62CSP7D3Bo/s03032cBsWtpNh/bO72Xrvz9h64ibWRlOEV66GlWuM0XUa4RlV9wUsf6oO4hgMBoPhNMAYWAuIPnwAffgAhyLNPNW0kidXX8zDG3s5oN06IF0NNi8daOSywUY2dMbz0l0aDIbKCIcsNncl2NyVgHP7mUo7PH5kgocPjvHg8zG+3rKKW1e9jJhOsWVkD1vvfJRNP/gRg2MHsTu6YMVqRE8/dPchur3/SROCYzAYDAZDIevaY5yYSNdbjCXPohlYUspXANcDIeAmpdTHC9YLb/0rgXHgrUqp+yvZd6mQymj2j0yze3iKvSeneG7LW3n66AQnpzIAxGzBlq4Ev9nXwNm9Sfoaw8ZTZTDUmKhtcXZvA2f3NvCWs7s4NZXhkUNjPHxwnIcOJri3aQ0AYRyG0sOsPbWb1Q88S+/4PfRMHKN1esQthtrSBi3tiJY2aG6DxmZINCASDRBvgIT3ijdAJArhiMlwaDAYDIYXNL2NEXobzdyv2VgUA0tKGQJuAF4K7APukVLeppR63LfZ1cA673UB8Dngggr3rSlpRzOdccg4kNGajKNJO5rxlMPIVIbR6Qyj027RusNjaY6OpTg8luLIWIqMW+AaS0BfY4Rz+5Ns6IixoSPOYHM0r+q1wWBYeJqiIS4ZbOKSQdcrdXg0xZNHJ9hxbIIdxxv4aayd77WdPbN9FIduJmhJj9E0NUrj6DBNh44TSx0l4qQIO2nCTpqok8J20lhohNYINJYdQtg2wg4jbBvLDiPCYfdzOIwV9j6HIxC2idkh+qMawmEIR2b+CzucW2Zn10XAtt3PoZD7PpR9hcxgjcFgMBgMS4TF8mCdD+xQSu0EkFLeCrwa8BtJrwa+rJTSwJ1SyhaveONQBfvWlB8/O8zn7j4063YCaI3bdDbYrG2PcenKJgabIwy2ROlviixYXRGDwTB3upJhupLhmUxcGUdzeCzFgZFpDoykODA6zaHRFCcnM+ycSnNyKsPYtFNbIRxgCjYd2sk/PPj5otV6LscM2Z7RFfLeBxhi2fXZdd4ykbfef5wwWBZoB7T2/pP77GhXWq3B8W2zci3WZS+bXxsZDAaDwbBMWSwDqx/Y6/u8D9dLNds2/RXuW1PO6Ijzh+d0YQkIWYKQEIQsaAiHSEYtkpEQyUiIlliIsDGiDIZlTcgSs4Y8ZL3a0xlNKqO9/+5njWdXaI1D1u5wTSRHe/aI1q4tQm4dQDK8AuttL4FUClLT7iudyn1OZ5en0N5/MuncK+29MhnIpNz/M8uyrww67VuXSbvHnMgdQ3vb5e2Xfe84ICzXLY8AIdz3wnI/W94yYXn/BcJxwBhYBoPBYDhNWSwDKyh2pXCQttQ2lewLgJTyGuAaAKUUfX191cg4Q18fXLx5TrsaDAaDwVCWuT6ban2MxcDIWVuMnLXFyFlbloOciyXjYrlf9gErfJ8HgP0VblPJvgAopW5USm1XSm3HNcyW7UtKeV+9ZXghvEw7mjZcKi/TjnN6vRA5bfqSkdPIuZRfRs7TT84ayjgri+XBugdYJ6VcBTwPvB74vYJtbgPe4c2xugA4qZQ6IKU8UsG+BoPBYDAYDAaDwVB3FsWDpZRKA+8AfgA84S5Sj0kpr5VSXutt9l1gJ7AD+D/An5bbdzHkNhgMBoPBYDAYDIZqWLQ6WEqp7+IaUf5ln/e918DbK933NODGegvwAsG04/wxbVgbTDsaasVy6UtGztpi5KwtRs7ashzkXDQZhdZzSghsMBgMBoPBYDAYDIYCTI5xg8FgMBgMBoPBYKgRixYiaCiNlPJm4DeBw0qpLd6yNuDrwBCwC5BKqRP1knGpU6INPwi8DTjibfa3XripoQRSyhXAl4Ee3HK4Nyqlrjf9sXLKtOEHMf3RMA+klK8ArgdCwE1KqY/XUZaq+7mU8r3AHwEZ4M+VUj9YJFl3ASPeedNKqe3lftPqIaeUcoMnT5bVwAeAFurcntXqKKXkklKeC9wCxHGnffyFNz1kIeX8FPAqYBp4FvgDpdSwlHIId17/U97udyqlrq2jnB+kyvtcJzm/DmzwNmkBhpVS2+rVnnPRWRarPY0Ha2lwC/CKgmXXAbcrpdYBt3ufDaW5heI2BPi0Umqb9zLK7OykgXcppTYCFwJvl1JuwvTHaijVhmD6o2GOSClDwA3A1cAm4A2+flUPqurn3rrXA5txf6v/1bumxeJKT57t3ufA37R6yamUeirbZsC5wDjwDW91vdvzFirUUWaR63O4tUrXea+gZ3at5fwRsEUptRV4Gnivb92zvna91re8HnJC9fd50eVUSr3O10//E/gv3+p6tGdVOstitqcxsJYASqmfA8cLFr8a+JL3/kvA/1hUoZYZJdrQUCVKqQNKqfu99yO4I1L9mP5YMWXa0GCYD+cDO5RSO5VS08CtuN/LujCHfv5q4Fal1JRS6jncjMHnL7ykZeUJ+k1bCnK+BFdZ3V1mm0WTs0odJVAuKWUv0KSU+rXnFfgyNX6OBMmplPqhl40a4E7cWqolqZecZVhS7ZlFSikACXyt3DEWWs456CyL1p7GwFq6dCulDoDbgYCuOsuzXHmHlPJhKeXNUsrWeguznPBc/mcDd2H645woaEMw/dEwd/qBvb7P+1gihnuF/bye8mvgh1LK+6SU13jLSv2mLYV2fj35iutSa0+ovv36vfeFyxeTPwS+5/u8Skr5gJTyZ1LKy7xl9ZSzmvtc7/a8DDiklHrGt6yu7VmhzrJo7WkMLMMLmc8Ba4BtwAHgf9dXnOWDlDKJ6/7/S6XUqXrLsxwJaEPTHw3zQQQsq3sa4Cr6eT3lv0QpdQ5ueOXbpZSXl9m2ru0spYwAvwX8h7doKbZnOUrJVe92fR9uONlXvEUHgEGl1NnAXwFflVI2UT85q73P9b7/byB/EKCu7VmFzrJo7WkMrKXLIc9lmXWxHq6zPMsOpdQhpVRGKeXgFq+uZzjKskFKGcb9ofqKUiobX236YxUEtaHpj4Z5sg9Y4fs8AOyvkyxA1f28bvIrpfZ7/w/jzms6n9K/afVu56uB+5VSh2BptqdHte23j/zwvEWTV0r5FtxkDW/MJi3wQsSOee/vw02Asb5ecs7hPtezPW3gt/ElZalne1apsyxaexoDa+lyG/AW7/1bgG/WUZZlSfbL5fEa4NF6ybJc8OKqvwA8oZT6J98q0x8rpFQbmv5omCf3AOuklKs8L8frcb+XdWEO/fw24PVSyqiUchXuJPK7F0HOBillY/Y98DJPplK/aXWR00eeZ2CptaePqtrPC9MakVJe6PWdN7MIzxHpZt58D/BbSqlx3/LObHIDKeVqT86ddZSzqvtcLzk9rgKeVErNhNTVqz3noLMsWnuaNO1LACnl14AXAR1Syn3A3wMfB5SU8o+APcDv1k/CpU+JNnyRlHIbrpt3F/A/6ybg8uES4PeBR6SUD3rL/hbTH6uhVBu+wfRHw1xRSqWllO8AfoCbpv1mpdRjdRSpqn6ulHpMSqmAx3FDtd6ulMosgpzdwDeklODqPF9VSn1fSnkPAb9pdZQTKWUCeCn5vw2frHd7VqOjzCLXn5BLg/098udDLZSc7wWiwI+8PpBNH3458GEpZRo3Xfe1SqlsQod6yBmoryy19lRKfYHiOYJQv/asSmdZzPYUWi+FkF2DwWAwGAwGg8FgWP6YEEGDwWAwGAwGg8FgqBHGwDIYDAaDwWAwGAyGGmEMLIPBYDAYDAaDwWCoEcbAMhgMBoPBYDAYDIYaYQwsg8FgMBgMBoPBYKgRxsAyGAwGg8FgMBgMhhphDCyDwWAwGAwGg8FgqBHGwDIYDAaDwWAwGAyGGmEMLIPBYDAYDAaDwWCoEcbAMhgMBoPBYDAYDIYaYQwsg8FgMBgMBoPBYKgRxsAyGAwGg8FgMBgMhhphDCyDwWAwGAwGg8FgqBHGwDIYDAaDwWAwGAyGGmEMLIPBYDAYDAaDwWCoEcbAMhiWIEKI/xZC3CSEeL8Q4qAQ4rgQ4hYhRIO3/hYhxI8L9nmTEELXR2KDwWAwnA6Y55PBMDvGwDIYli6vBdqAFwG/B/wP4G/qKZDBYDAYDJjnk908yT0AACAASURBVMFQFmNgGQxLlz1a63dqrZ/UWn8fuBV4Wb2FMhgMBsNpj3k+GQxlMAaWwbB0ebDg8/NAdz0EMRgMBoPBh3k+GQxlMAaWwbB0mS74rMl9Zx1AFKwPL7hEBoPBYDCY55PBUBZjYBkMy5PDQF/BsnPqIYjBYDAYDD7M88lw2mMMLINhefJj4AwhxDuEEGuEEG8DZL2FMhgMBsNpj3k+GU57jIFlMCxDtNY/Bv4OeC/wEPBi4MN1FcpgMBgMpz3m+WQwgNDalCUwGAwGg8FgMBgMhlpgPFgGg8FgMBgMBoPBUCPsegtgMBgMBsNyRUrZAtwEbMHNpPaHSqlf11cqg8FgMNSTuhtYUsqbgd8EDiultgSsF8D1wCuBceCtSqn7F1dKg8FgMBgCuR74vlLqtVLKCJCot0AGg8FgqC91N7CAW4DPAl8usf5qYJ33ugD4nPffYDAYDIa6IaVsAi4H3gqglJqmuD6QwWAwGE4z6m5gKaV+LqUcKrPJq4EvK6U0cKeUskVK2auUOjDLoU32DoPBYFjeFBYrXWqsBo4AX5RSngXcB/yFUmqszD7m2WQwGAzLm1mfTXU3sCqgH9jr+7zPW1ZkYEkprwGuAVBKsX///kUR0GAwGAy1pa+vsE7pksTGLaD6Z0qpu6SU1wPXAe/3b1T4bJqenp+Ty7Zt0un0vI6xGBg5a4uRs7YYOWvLcpCzFjJGIpHKzjWvsywOQVZi4AigUupG4MZy2xgMBoPBUCP2AfuUUnd5n/8froGVR+Gz6ejRo/M6aUdHB/M9xmJg5KwtRs7aYuT8/9k77/jIqvL/v8+UZNK3ZHuHbSxV+koVUJoItosoKopgRWz4RX9i/YqKfhXsggIqKN8LYgMU/YIiHZZld2H7si3JpieTTKbPvef3x51yp88kk0yye96v1+5k7tx7znPLJOc5z/N8TmWZCnZWwsZSJ/+mgkx7O7DI9n4hoEJTCoVCoagquq53AW2apq2KbzoX2FJFkxQKhUIxCZgKEay/AJ/QNO0+LHGLoRLqrw5KRsIGT+0fZv0BPx3DEQwpaa13c8SsOs5e1sKC5tLClgqFQqGoGNcB98YVBHcDH6iyPQrFQYEMh5EbnkOsWIOYMava5igUZVF1B0vTtN8DZwOtmqa1A18B3AC6rv8ceARLon0Xlkz7IffHyzAlD20f5H9f6cMfNZnb6Gbp9FrcDkHXSJQHNvdz/6v9nLakiateN5tZDe5qm6xQKBSHBLqubwBOrLYdCsVBR2DEeu3tBuVgKaYYVXewdF2/osjnEvj4BJkz6RgKxbjlyQ5e7QlywvwGrjimleUzPAiRKk0bCMZ4ePsgf9k2wEsdfj5y8hzOXtZSRasVCoVCoVAoxsBk1xBVKApQdQdLkZ/O/Qf4ytN9DBoOruv5D2dvexWxaTZy8XI46XTEwqUAzKhz8d7jZvHGw1u47dlOfvBMJ7sHQlx1/GwcQv2GUigUCoVCMVVRmmWKqYdysCYhcmiQ3gd1bjKPIeis4esdD7GyxQnzF0NvJ/LvDyAf0WH5Ghxvfx9i+RoA5jbV8I3zFnPnS938edsgIxGTj58yF6dDOVkKhUKhUCgUCsVEoBysSYbc9CLBX/+Um1e+F39jE19fO4MVh30lfR/fEPL5J5B/fxDzOzcizngT4vIPIWo9uByCa06cQ1Otk/te6ScYM/ncafOVk6VQKBR50DTNDZwKzNd1/X81TWsAKLJgsEKhGFfUuEUxdZkKMu2HDOa//4bx4//m58svY2/jfD579lJWHJatty+aWnCc9xYc3/w54vy3IZ/6J+Z/fxrZ1WF9LgRXHDOLDx4/m2f2+/jJ811IqULsCoVCkYmmaUcDO4A7gF/FN58F3Fk1oxQKRQo1flFMQZSDNUkw//En5L0/45ET38UTzat41zGtnLigseAxotaD4x1X4fjMN2DEh/ntzyN3bE5+fukRM3jX0TN5bPcQv9nQO96noFAoFFORnwFf1nV9NRCNb3sCOL16JikUCoViKqMcrEmA+fwTyPvvZN9J5/Prptdx0oJGtKNmlny8WH0Mji9+D5paMG/7CnLLhuRn7zq6lQtWTOPBLQM8vH1wPMxXKBSKqcyRwD3xnyUkUwPrqmaRQqEAJdKlmMIoB6vKyF1bkXffhrHyKH666CLq3U6uO3Vu2ep/YtZcHDfcDLPmYf74v5FbN1rbheDaE+dw8sJGfvlSNxu7VEmBQqFQ2NgLnGDfoGnayVhrLyoUCoVCUTbKwaoi0jeMeft3YXorj7zpE+wcCHPNiXNo8YxOe0Q0T8Px2W/C7HmYP70Zue81AJwOwadfP4+FzTXc8mQHnb5IJU9DoVAopjI3AQ9rmvY1oEbTtC8A9wNfqq5ZCoUCUDVYiimJcrCqhJQS865bweel+32f596tPk5a0MgZS5rG1K5oasZx/VehoQnztq8i+63aq3q3ky+etRAB3PxEO6GYOfaTUCgUiimOrusPARcCs7Bqr5YAb9N1/R9VNUyhONRRGYKKKYySaa8S8j+PwivrEFdcy51dHhwiwEdPnoOoQM6xmD4Tx/VfxfzW5zB/9i0cn/8WoqaWeU01fO70BXz18TbuWNfNdafOq8CZKBQKxdRG1/X1wMeqbYdCoVAoDg6Ug1UFZG8X8v474Yhj2bD6bF78VzvvP24WM+vdFetDzFuI4+rPWPVYv/0pfPBTCCE4bl4D7zhyJvdv7ufoOfWcvaylYn0qFArFVEPTtK/n+0zX9S9PpC0KhUKhODhQKYITjJQS87c/ASEw33sdd67vYW6jm0tWT694X+LYkxFveTfyuX8hH/trcvsVx7SyZlYdP3uhi/ahcMX7VSgUiinEoox/JwGfAw6vplEKhUKhmLqoCNYEI198ErZuRLz7wzw64KJtKMIXz1qA2zk+vq64WEPu3428/07kosMQq47C6RB89vT5fOqRvdzy1AG+e/4Sal3K11YoFIceuq5/IHObpmkXAFdUwRyFQpFEFWEppi5qVD2ByIAfqf8Kliwn+Po3ct+mPo6dW8/JRRYUHgvC4cBx9acsZcFffg/pGwagtd7Np9fOY583zN0v94xb/wqFQjEF+QdwWbWNUCgUKBXBUSINw1pntber2qYcklQkgqVp2ieB3+m63leJ9g5W5MM6DHtxfOJL/HX7ML6IyfuOm10RYYtCCE89jms+h/mtGzB//UMcH/9/CCE4YUEjl6yazl+3D7J2URPHzG0YVzsUCoVisqFp2mEZm+qBdwNtVTBHoVAoKkMkXgLS2Qaz5lbXlkOQSkWwzgP2apr2kKZpl2uaVluhdg8aZG8X8vG/Itaeg2/eYfxp6wBrFzWyfKZnQvoXiw9HvO39sPEF5L//ltz+3uNmMb/JzY+e6yQQNSbEFoVCoZhE7AJ2xl93Ac8BZwDvr6ZRCsUhzzhPPh8yqABgVahIBEvX9bdomjYTeBfwKeDnmqb9AfiNruv/qUQfUx35x9+Cw4G49D38cUs/oZjJu4+ZNaE2iHMvQW7ZgNR/hVyxBrFwKbUuB59cO48v/nM/d6/v5WOnqFkOhUJx6KDrukqVVygUCkVFqdgfFl3X+3Vd/4mu62uBs7CUmP6ladpeTdP+n6Zp41doNMmRe3YgX3wS8cbL8NZN46Htg5y5tJnF0yY20CccDhwfuB7qGzDv+B4yGgXgiFn1XLp6Bo/u8vJyp39CbVIoFAqFQqHIjwrBKKYeFVUR1DTtXOBK4FJgHXALsB+4HvgbVtrFIYWUEvP+O6GpBXHB27j/1X5ipuSKY1qrYo9onobjqk9i/vDryL/8DvF2Kwvm3ce28mLHCD96rpMfXbyMhhpnVexTKBSK8UbTtDZKGLXpur54AsyZUOTenTBrHqJh7HOe0jRh20ZYuBTRXPmlRhSHOipFcEyoy1dVKiVy8T2s9MAh4DfAl3Rd77B9/hwwWIm+phwbnoedWxBXfow+w82jO72cd3gL85pqqmaSOPpExOlvRD76R+RxpyAOX02N08H1a+fx+Uf3ce/GXq49SaUKKhSKg5Yrq21ANZCRMLL7AGKgD45fO/YGI2Gkbxixewccd8rY21MoFIqDhEpFsDzAW3VdfzHXh7quRzVNO7FCfU0ZZCyG+cDdMG8R4vQ3ct+Llhy6dlR1old2hHY1cssGzDtvxfHl2xC1taxsreOildN4ZIeXNxzWwoqZddU2U6FQKCqOrutPVNuGqmDGhYycKkNBMYVQGYJjRF3AalApB+tbQMC+QdO06UCdrusHAHRd31ahvqYM8j9/h54DOD5xE51+g8d3D3HxyunManBX2zREXb2VKvj9m5B//A3iXdcA8J5jZ/FM2wg/fb6L712wFKdDxZgVCsXBjaZpx2GlsLdiS6zRdf3LVTNqPDBN69WhdD1KQUoJQT+i/pAtIQesyWKQCNcEj10qOPwIx0zahiIcPqN23JfGUSigciIXfwIWZmxbCPyxQu1POWTAj/zr72HV0XDMifz+lT7cDsE7jpxZbdOSiCOORbzhYuRjf0Vu2wRAQ42Ta06Yze7BMA/vODSzOhUKxaGDpmnXAk8D5wD/BRwNfBZYXk27xoWEgyWUg1USnW3IV15CjgxX25KqIl9+DvnSM1XoOPE69gjMroEQB3wRBoKxMbc1dVCOZDWp1G/ZVbquv2LfEH+/ukLtTznk3x6AER+Od36Qfd4wT+4d5s2rpjOtrqK6ImNGvP39MHse5t0/RIasIOTrFzdxwvwG7t3YR18gWmULFQqFYlz5PHCBrutvBYLx13cAB98vv8RAVUWwSsM/Yr2Gw9W1o9qYB8EamTLtRaEYdyr1W7ZH07S02b74+/4KtT+lkP29yP/7C+LUNyCWHM69m/qodzt425rJE71KIGo9OD7wKRjoQ95/l7VNCD580hxMKbljXXeVLVQoFIpxZbau60/GfzY1TXPouv434JJqGqVQKCrIoRzMqUAEUFE+lXKw7gT+oGnamzVNW6Np2iXAA8AvK9T+lEL+6bcgBOKyK9neF+SF9hEuWzODxtrJWVgslh+BeNOlyP88inz1JQDmNNZw+VGtPNc2wvoDI1W2UKFQKMaNdk3TlsZ/3gFcqmnaGUCkeiYpJpL9g0EGD6nUsUMX5WsoJopKOVjfBu4Bvge8CHw3/v7bFWp/yiD37EQ+92/EeZcgZs7ing29tNQ6uWTVjGqbVhBx6Xtg3iLMX/8YGU+LuPSI6cxvcnPHum6ihlllCxUKhWJcuAU4Iv7z17H+dj0OfK1qFo0XanSZk+09I7zSHSi+o2LKckgGsJSYR1WpSEGQrusmllP13Uq0N1WRpon5+19A8zTEhe9kY5efTd0BPnTCbOrckzvnXbhrcFz9acybP4e873bE1Z/B7XRwzYlz+Nq/2vnztsFJJdChUCgUlUDX9bttP/8troBbo+t6yaF7TdOcwDqgQ9f1N1feSkU57POGme5x0uyZXDXPinLJPyEgDasuTKglB0pATaxUg4r99tE0bRVwLJCmZ6rr+p2V6mOyI5/7N+zZgbjqevDUcc8T+2itd3H+imnVNq0kxJLliIs15F/vQ75uLeL4tRw/v5FTFjaiv9LHWUubJ4XEvEKhUFQKTdNuBe5NrOOo63qE8tMDrwe2As0VNq+yHCIz2vu8YfYBZy6d3LdDMXrkuqfA4UCcdEZJ+x8aT75iMlGRsIqmaV8ENmJJ277X9u/KSrQ/FZChAPLBX8OylYi1b+C59hF29Ie4/OhWapyTO3plR1ykwZLlmPf8FDnsBeDqE2YjgbvW91TXOIVCoag8Avizpmk7NU37WnyysGQ0TVsIXMyhWHN8iDhsimqTJwJjll+6oLJkFRNFpSJYnwJO1nV9U4Xam3LIh++HoUEcH/siMQl3r+9hYXMN5x7WUm3TykK4XDg++CnMb3wa87c/xfGxLzCnsYa3HzmT32/qY2OXn2PnNlTbTIVCoagIuq5fr2nap4FzgSuA5zRN240V1fp+CU3ciiX13pRvh/haW9fG+6O1tXVMNrtcrlG1YbochJubcDS3UDtGGwDMYIBwcxOitg5PjvZGa+dYaeq3RtGl9u0Y7KepqSlr/0hPC0YsRM2M6TircB6ZVOt6BputR7uuxL4rZafpdlrPa0Nz1vNark3TIsOEnGFmzGiitdlTUTvHm1F/3xPfzxpPzu9npZkK13MibayUgxUEtlWorSmH7D6A/OefEWvPQRy2ioe29NM1EuUrb1iI0zH1ZvjE/MWIt16JvP8u5LP/Qrz+HN56xAwe3z3E7S92c9vFy3BNwfNSKBSKXMTriP8J/FPTtJuAu7Bqigs6WJqmvRno0XX9JU3Tzi7Q/u3A7fG3sq+vb0z2tra2Mpo25LAXOexDSAdijDYAyFDQaq82ykiO9kZr51jx+XwA9PWV9nfKNCU+ny9rfzk0ZJ3fwCBCVL+eq1rX0xy2rqe/xL7z2SmlhO4OmD0fUcJabMnn1ZBZz2u5NnmHAvj8Mfpro7giNQXtnGyM+vue+H7WRHJ+PyvNVLielbBx/vz5Je1Xqd8YNwE/0jTtq0DawknxP1wHLVJKzHt/Bm434m3vwxuKob/az4nzGzh+fmPxBiYp4ry3IDc8j7zvduSqo6mdOYsPnTCbbz7RwUPbB7jsCCV4oVAoDg40TWsELsOKYJ0NPAG8v4RDTwPeomnaRYAHaNY07R5d1w+N9HiVIliUgWAMU0pa61X9Mj2dyH2vIUwT5i+e0K6FqsJSTDCVKg66G7gGaAei8X+x+OtBjXzqn7B1I+Lt70dMm8G9G3sJx0w+cMLsaps2JoTDaS1AbJqYv/4h0jQ5aUEjJ8xv4Peb+hlQa4YoFIqDAE3T7ge6sFL4HgKW6Lp+ka7r9xQ7Vtf1L+i6vlDX9aXAu4DHDxnn6lBiDGPzV7sDbOkJVs6WKjIcitEfGMOwzoiPG+IKgIrKEIga7PeGq22GIoNKRbCWVaidKYUc6EXefyesPApx5gVs7g7wj11DXHbEDBY211bbvDEjZs1FaB9E/vanyH89guPcN3PNiXP4xEN7uHt9D585rbQwqUKhUExi1gGf1XV9f7UNUSjGAxmLwdaNcNgqRMPoM2s2dFlrhZ25dIzRuAlWmpD9PRCrBcSEdh2MmnhcAjHOkd5XugKEDcm8JjfuNFE1pehRTSq1DtY+AE3THMAcXdc7K9HuZEYaBuYd3wNT4nj/J4hK+PHzXcxpdHPFMZO7yK8cxBnnIze8gHzgLuTKI5m3aBlvPWIG92/u5/zl0zhyTn21TVQoFIpRo+v6dyrUzr+Bf1eiLUU2MhyGUADRMr3apowL8tX10DIdsWgc5qtHhpGBEUT7Hlh1dOXbHzfG7iBI00Du2oqQjTB3RQVsKg1/xOClA36WTq9lccv4Trib4+BHyb5u2L8bXnfquDuIByuVkmmfpmna74AQsCu+7S2apv13JdqfjMi//B52bUVc+VHE7Pn87yv9HPBF+NjJc/G4po4sezGEEDiu+iQ0NGLe/l1kOMQ7j5rJrHoXv1jXjTEe32yFQqFQjANT+Pf15peQ2w5eoWLp9yEPjHMQtdoa5cmB+gTaEe9KRqIT2nMoZskP+ELjnw4pi53VaO773p3IaGRUUvgKi0p5Aj8HhoAlpBZofBa4vELtTyrM559APqIjTjsPx6lns6MvyINb+jnnsBaOm3fwSZiL5mk4rv4MdHcg77uDWpeDD54wm33eMH/bOVht8xQKhUJRVcZ/2CqjB31J9yHAoRMJqY4rW7nrW21f/GCgUg7WucAn46mBEkDX9V5gais95EBufxV5922w8kjEez7KcNjglic7aK13cfXxB93pJhFHHIu44O3Ip/6J+eKTrF3UxHFz6/ndxj68SvBCoVAoFApFKVRl8D62TmW4PBGJpINSTZ9SOUlVpVIiF0NAK5CsvdI0bbH9fT40TbsAuA1wAr/Udf3bGZ+fDfwZ2BPf9KCu61+vjNnlIV9Zh/nzb0PrXBwf+yLS5eIH/2pnMGTwnTctobHWWQ2zJgzxlncjt7+C/O1PEEtXcM2Jc7j+kT38ZkMvn1w7r9rmKRQKxajQNG0mcBEwT9f1WzRNmw84dF1vr7JpU4TJE5mQauo9m1HW0IRjJm7n5Lm3oyL+PIgxeBvSO4Dc/gqsOBIxo7wa+8yrJ4e9IByIpuZR25NlX8VaytW4+j6NlkpFsH4J/EHTtDcADk3T1gK/xkodzIumaU7gJ8CFwBrgCk3T1uTY9Uld14+L/5tw50oaBubfHsD8yTdh7iIcN9yMaGji3o19rO/0c+2Jc1g+0zPRZk04wuXCcc3nAIF5x/dY0ODkLatn8NjuIbb1HhwytAqF4tBC07SzgO3Ae7DWdARYAfysakYVoHskwrr9XmKjqX8dt7FS/ob7AlE2dvnHq2NFOZQxWI6ZkufbR9jVH6pc/+X6auMh3jCaNv3WosYEfGX3k+Vgbd2I3PLyKIwYC6M5aeVYjZVKOVjfAXQsZ8kN3IkVdbqtyHEnA7t0Xd+t63oEuA+4tEI2jQkpJdI3hPn0Y5g3fxb54G/g2FNwfPa/Ec3T+MPmfh7Y3M+blrfwpuUt1TZ3whCtc3C87+OwZwfyT7/lnUfNZEadi9vXdSnBC4VCMRW5Fbhc1/ULsNZvBHge6+/TpOO1gRCDwSih6NQoPt/SE2Qoo9C/fThM90gkzxEHL4PBGDv6qjAZWcSxkVJm1biZcQ+hv4QSANnVgXxt26jNG1/iEayJloYnj4c1zr1OjTYPDSol0y6x/kjdWuahC4A22/t24JQc+63VNG0jcAD4nK7rm3M1pmnatViLRaLrepmmpJAbnse881YIxmfd5i5EXPM5xElnIITgr9sG+M2GXs5c0sxHTpp7yElYihNPR2zbhHz0j9QtW8UHjj+K/3n6AP/Y5eXClQenhK5CoThoWarr+mPxnxOjiQiVS6GvKBWZx6rU36zEoNW0JiRFU/7JRill8m/l7gGrnmVOY01l7KgSMhoFAcJV2rpQr3Rb60itbK0bT7PKp2MfsmMfHL8W4S7vnnSPRHhtcxunNIRxHr66xKMKP8TywH5k2x7E6mPKsmXsPRej/O+NKPGYmClxOUb5vcx3UmNxKgscu98bBgGLW2qRoSDylZcQRx0/+r4mCMOUyYmDiaAif0A0TTsn32e6rj9e4NBcT1Pm2a8Hlui6PqJp2kXAn7DSN3L1dTtwe552SmfWXMSpZ8HseYglK2D5EQghMKXkng29PLC5n1MXNXL96+fhHO0XYoojLr8G2bYH867bOP0Lt/Do7Dru2djLaYubaPZMynGJQqFQ5GKLpmnn67r+qG3becAr1TKoFMY0TKjwIENGI7BlAxxzEqJu9GsjmlKytTfIkpbavDXNdkct5+ej7r185PpnABCnnFXecRnnUKm6MVNKDFNmLDZbAt4B6zUcgjIdrJ39IQwpMLEK6SuBbIuX3FfiulQjkIQtRbCEjvd7w+z1hjl1USM15d47e59FPh+JGEgJTfHvlpQS+cJ/EEsOR8xdWHKje73WBMnilloY6AXTgL5uWLR41LZXGrn+WZi/KO28nt7vY2nEzeIJquipVIrgrzL+/QX4O1ZtViHagUW29wuxolRJdF0f1nV9JP7zI4Bb07RxXclXLFiC490fwXHepYgVaxBC0OmLcNP/7U+mBX7utAWjn204CBBuN46P3Ag1NciffZtrjm4mEDW5Z2NftU1TKBSKcvgscK+mab8G6jRN+wVwN3BDVa0aD8Z79jY2Nin1QNSkPxBjW6E0uoOg6H68sum39QZ5tm0kxydFxirOuGtk5FizqQK2+iMxdu5sK+pISt8QMhiwbaj8hSq6ZlTOg8b3mesLWN+bcGx0/Rjxw9qGstNu7aavP+Dn5c5UPWQ0GmPYEMi2vaPqN29HkwAZjSD3vZa1vd8/ccs9VCpFMG3p8bh4xZeAYhWBLwIrNE1bBnQA7wLendHWXKBb13WpadrJWE5hfyXsLkbEMNneF+Tx3cM8sWcIt9PBdafO5dzDWg65tMBciOkzcXzkvzC/fxOLHvgJF5/6IR7a7uWsZc0cOXv0s5gKhUIxUei6/pymacdiiVzciZW2fvJkVxAc03CmCn+/JJNJa7C6jNdQtC9g1UvljfLlGwQ74nPtsvy6vlLG1Zt3dBDs6mL+DEFdgYPklg3WD0JUcMAuC74dL0aj0j5W0wYz6uWipuTZEQ/L6iW5YksbugMEA7Wc0ZLD6Uhe/8nlOE0lxiWXS9d1Q9O0b2JFqL5fYL+YpmmfAB7Fii7fqev6Zk3TPhL//OfAO4CPapoWA4LAu+I1X+PG47uHuHN9D/6IgSnB4xKcv2Ia7zyqlRl1Kv3Njlh5FOKdVyPvu50r5izi+YbT+dFzndx60TI8rkoFSBUKhWL80HW9A7il2nZMFaRvCLllA2LugvQPDAPZ34OYOZ5rQlZhwGeayFgM4bL+/kspGQwZTCuzGYFlvRXJsQ29Kzz7b0hwjcqbHZsLnM+xM+ORMadR5pqZVYqKyMAIdB+ApSvi51NGvt8oSF6zMZ5v5uHReGirO+rM6WAFoxW4vslrohyxTMbTW3gjUHQ6JJ7290jGtp/bfv4x8OOKW1eAuY1uTl/cRLPHyeHTPRw9t55698G9xtVYEOdcDF3teP7xB657xxJu6pvLbzb0cu2Jc6ptmkKhUGShadpvKWFEoOv6+ybAnNExqsFYhQZBQ4NWa10d6dv37UKGguCpQzQ0VaavTIqcwniMyRMKeYlaqw5fhN0DYVZHHbS6S4/6JAIzpaQISilhaBAxbUbJ7TuF5VwFoybbNmyl1fCz7PWnFHcMcly0xKayUuqkCSJ7rJQ63zJvTkVqsOIqguX4Rjs2I8MhxLxF4CldkGRHX5BA1OS4eQ1l1WDZdzFMydP7fRw2o5aFzbVFjzVffArpnJ9nfa7c1y8cM6ktdQK86D2ovNMpvQPW75Ayrv1kqp6t3gAAIABJREFUpFIiF22k38l6wAN8rBLtTzRrZtezRqW4lYwQAt51DbK/hyMfvJWL3/YNHt4+yKkLGzlmbkO1zVMoFIpMdlXbgKlNnhSviFX8TjQ75SgzaDNR9AWiTPe4KipIlaiVCcny2kwEQ0pyG7oPIPftguVrEDNnFd1dmiZCmoCDnf1BAj4/+4Fl6XvlOTi3NyB3bUUKCY3FzZUFms+q7CrZb0p6eWzvCzIQiLF28dgc90TX3SMRqEuvWfJHDOrdhRyPwve7ayT13GeeYjBqEjXMgpdSYqX1AXQMR0pysDANGOqFGa0FnOH07WU5WKVSwYkNud3SFypXPGayUakI1pUZ7/3ADl3XhyvUvmKSI5xOHNfegHnLjbzn4e/w8tlf4tZnOrn14mU051GDUigUimqg6/rXqm3DWKlqQk6+zs14NGfPDnjdqRgDfchhL6K5tGS6ktyVMqIa/ojBlp4gsxpcHDFr7JOm0jRh3y6EewZQkzcSJQd6oXlalnx74vxKkoqOhNJfE20bBvi8iGkz0/d/bRti/zAcvoaRSCqqVimFwpLI01fZoh6JUJ+tve648+ILG7QPh1kpy4tKZSaybe8LcSA8xOtmWp8EogYvHfCzsLkmwyllVF+2hLOTkGl/scMSHzk9l22JDEFIrifqHGM6ojRLiKyW8myUeu7SSqNVpKiUyMUTlWhHMbURnjoc130Zz7dv4NPrf8UX1lzND5/t5P+dtUCJgigUiklLfKmRK4D5WEq299nWxjp4mKgC/0gYAUQ2r4eeKDIWhTFGHmytl7xnYrCaT50tEDXYOxgGZ3oqUtQwcToEwp+h0xUJIXs6EdILc1cj44Nn2d+bjDLJcBi5c4vlVB5xbNrhIlmFlY43GKVJQnqQLU9dzp7tyP5eOPYkhCflNMqBXhwiW2K9WOBQRsKQeZ6jQNr+z8aywIzF0rSrpW8I6hqStW12ohLah6Iskeny75t7AkQMyVIJtaUMK0p8XIy4P+INxQp6btI/AqaJaGouqd+yhj4ypQg4loCrHB5Ebt0ECw63m2I5545ckasx/GJIPKbdBwg9+zgcMbr1sIJRk4hh0lKhZX7MrO/TxFOpFMGpn8+uqAhi+kwcn/4Gh99yI+9tf4y75Lk8vGOQN68qPY9coVAoJgpN0z4D3AjcBbwMLAZ+p2naLbqu/09Vjas0nW2VaadctbmBPqRcRqk5gjIURJp1CEf+tbAI+BENjdZivxufh1XHFB/0ZtAxHKEvEKPJ5vuZUvJs2whzGt2sCIdyHiciVmpZ4irIXVug6VRETS2GEQMJzkiYjV3+nMebhoH09iJmzWU4FGNTd5CFERfLam0RAIctrGEnGJewzxGhyDV0HgzGmFHoum95GTNmEJHgsTlzpWjIxcxRiZ4DEhmLWkIpLdMhx4LCe8Iuuv0mDTEHc9KOLJN9O1PHGoYlA99ipd5JKePiJW4Sy08ZBR5tb8Rk07ObWeGJMv90Kxa1ZzBE21CEM5emnj3ZcwDZH4C62SU98fbompmIYJXgHWRGJ5Pvhr3W64iVRBY1BdFozIosT58J8xuJmTJ5ROFA1sTMyiQifPbrOFqGQjE2jHhYUxeheHLt+FGpJEwvcBnWREN7vN1L49tfs/1THAKIuQtwfPrrvLnjKU707eau9T1s6y2wrolCoVBUj88C5+i6/l+6rv9U1/UbgXPi2ycto5K48A1NaOdeWylWqelDMhaFfbtgz848OwAd+5CvvmRFE3xea2Y+w3mUponZ01kwRS5X6lpi995c6+VstmTEc/o+cYfn6Y4grwat1MChUEb1UeK4tr3I3duRw4PJmpuAmTmgzqfOlv98cg3JN/fY/vbmOt9wmN1hFy/4PfynI0QgatlcSvbYM/tTka+YFISjhR3vWLxmTfZ1pzoIFFi3S0q2h2rojmSfWanBCTnYn9q/sw25Y3PyM7OrA3PdM2npdIXSNze91g3AzpAb2d8D5F57KvzaTsy+rhItTMeQZaQIZjpYQ96kXZC6RjFgU2L9q2FLoGZnf4ljsjGKXHiDMbp7By3xm1HQ64/SM1Le2lXDIet3jTdWXSXrStVgrQQu1nX9ycQGTdNOB27Sdf38CvWhmEKIRctwfvIrXPejb/H5Yz/Gt59o438uWsbMenfxgxUKhWJiyRS92M0U0h1+et8wC5prWDrdU21T0gjbRSD274YVq9M+D0SNbIXexGA3b9qaTA3KI2EyB3jJm+btR4Y6oHEpeDLqlQC58QWkN4pcuAZpxJCDfbC0maGw5WCYEp4dqWVtYzh1TMZCyuljz9SbIcNZMMono/FBecxIjsKyHrb4AFu27wV3DWL2vIxOswe2o02JGjRSA9GekShLpzvLXpB3nb8WDvg56/Acwgxxu14O1HJGU8i6x8Hc0b1cbPc7EIlbGDdr2HSw1V/DCRGDxpr0Z+iJPUPM6tvHEasWYUhbJCEURNqyKM1hL6YDHLZzzXnWuZwM3xDkWY7geb+HJTXWs1LIT5Jte6CvG+/0Ncm+ExE05yjupezqQI6Ec3wgGYk7zhgmAislL/mxfVe/D2xO2ljZ1B1A7trBrKZQXtGKzd2BnNsBtsYn52c3lj92rHZlSqXcu1OB5zK2PQ+srVD7iimIOHw1LR+9gRu3/pZAMMx3/rWPaKH4u0KhUEw8XwV+pWnaCk3T6jRNWwncDnxF0zRH4l91TcyBbVRkSNifYya9fSiMNxQbB6GD0tpLG9/kiGCt6yg8yJamgfn8E8heWzRg93ZIODoypXSw2y8ZCtn6MI3018y2EzPqsQhGZzv09yJ9Q7QNpQaoMSkwJfRGy7/9Mpw90LXHpMJmMbGL1NWTe3bk+Li0qI6MhFPRvaLPwRifk3Kes0T4UIIM+JHdB9I+zrzicmgwLQLbF7WcKm8wR2TUiNE7FMTYuY1nRjzsibjyxFlSbmRSSDHPftmbMqJHu7YibU5jLjdYegfSjzmwP6W8ifU8JJ4JIQQyGECaBuGXns39DJQloZ/a14iE04RQ0nbb/DKy077GennPhNz/GjKQ+3st/SPI+BIPdvpz3cMxMKHCLgWo1B+Nl4GbNU2rA4i/fhPYUKH2FVMUseooln34E1z32p/Y7o3xoyf2TJqHX6FQKIBfYAlcbAdGgG3Ae7CcrChWhk15OSoTiAwGkMFcaVawezDMpq4A8oX/ILe/WrQtU8rSfj+X+Ds8bXBZ0hEZxGud6NiXasc7gPQlBIpTrbYHBRu77DPhGZEtKZE5UwZFKkUsx3ntjbjYFqphwJZulHMQHncUGLEib36jgFCChBf8HrYNWvVaBAPZFyjf4eVeyLY9VnSuAGn3KX7NZX9v+d1l7ByIGvHFbguHEuQr65B701NCBaTfj94uS7o+Q04jEDVzp3OS8uG6o6kIl4kglpjoldY+O/tChGLZDkcwZrB3MHcdnr0GTpomZl8PHEilqSYEUNImPvq6c7cVJ2bYHT4DuelF2LUNM+BD9nTmP8F82K+f/ceM4+zvwmZKaKMkMqX9O9th26bc5rz6EjLPZ2NB+oaQUtI9EmHA5qylPddVGHdWKkXwKuB3wJCmaYPAdGAd1h8pxSGOOHw1p3/w3XTc909+z9m0/mcn7ztrZbXNUigUCshcKmiKkByIbXoRfB5YfkTh/b39Rdt8ap+PereDExc0WgPsaTMQzhxCEyWM69qHw9jF2WMSAqEY04qphKVWuE11ZBvEDcQcGBJmuU3rY0fikDwF+xIwDOQL/7GakhLmzC/afYJQvDaqlEGn3PwyDFmpTOsDtVluRWZVVX/IZG53B3R2p0vlQfH8pjwfSynTVXulpCfqYHYpCyL7R5D9e5HuVfGISSrdb50/W6EwR+9p79Z1+OPrSuW6eIVlNIQgp5BH5tFdI1E697ZzpuhBnHBamrOVy41oj7ho3++zIkRIBg0HnSNR+sPZfW3pCxPAZJYpyVryNpIeoUx3+2wCKN4BYgeGgJb0/XduwZAwZEvPjJkyJW6RcIKGB6EhzxIDOW3Igcz4NI+zIaXkBX8tM50Ga+oSUeJ8jZZHVFpRx9luI2dkR4aDEIkgox76og62htycbnME93vDNNQ4sspMpG/YEktZsITtMUtMbWnL5ChFqZRM+17g9ZqmLcKSue3UdX1/JdpWHByIxYejvcdF/x+e5Q8cx4zHN/Dmc46rtlkKheIQR9f1fcX3mhpIKUGaCIcT2b4HuXcAsXRF2j6GhJ0jguWGSU1cOk0GRsA7AEwjEDWRI8PIXVsQs+bCYaty9ZSnf3jBX0uT02RgIMz0YGqg/4pPEO4KcMaSInLtbXtSuTXJblLtbA5aA/1Z7lDyMwkQ8CPDQeTLryKnp9d6EbUGol1RJ62RCAVdBSOG3L8b5i4saGayjipO10iUhiIiD0ntBmyv/pG0bWDVesn9u/P1nN5YdvNZbA/VMNsdouhoediLrAHTP0ymsn3QdCTb7w9E08UzEphmVmpkIGrm7rZA9EWI+LkM9GZ9ljgq7Up7B5BNMQSWql+yC8MAHNkDeltqqYm15pbMkSOYWBw7lz8ih72F5e9l/PvY140RCsHc1wHQFnGyqMZADvTSFXWyO+xOrY8GOGR2O5mEYiYelwN2bilgQZZFeT95xlfLWaQmEfozxCHkzi1QU4NYstx6P9BnXacyFP+6ok72ht2YwKL4NsOUhBPRxLa9VtuB3eyL1AAiLaq412s9V2cuTXeeotEIQUPQ7PdBbUKtOvtcq5E3VakIFpqmzQTOBubpun6LpmnzAYeu6+2Fj1QcKjgWLOHDVzbgfeBF7uhchvOhJ7nwzWdU2yyFQnEIo2laC/BJ4HVAo/0zXdffVBWjRkkySnPKWciO/RDLFr3oiTrpNQSuwTArW615ebl5g1WrNMcaBGLE65YyZ8iLKAHGgIgU9MecCCBgS5MLGTLPKlDxttc9hZxhCTlEZEbaUShfEbw1UE622b4P2RC1nBbvANSndguagp0hN11ekyOm+6nFchqyWvQNWamJ8XqZxBAvazDdvgdpO3zHQBgC6QIP0jQRjuzUwrRBs8xRIxZMnW/AFHRGnCxPRvZyDB7tzp6UlsOcB9nfC04HYtpMNnX5mRnNjlBuHpIMJs4lxw3rzqfq1rYH6Q3Bgrcn1yCTwQC5BD/kTkvNL98zVUyfIPMySAnypWeIzlyT2mgagLtge/boZ+m9Z9DXndWCCRBPzbT7knvDbhbVWPc8lvGcd/kizG7IjL6ktzwSMVh/wM9hM2pZkFFfKLGcJBNwZ56CzPEmeRGt19Qix/ZdJSO9fdQ7JF3TF/PaQMjm+B5W8qWKxCPBAzEHCze+gDj2ZHb0BekNpN//3qgjFf0rod1XBwx8gVrOnJa6Fonj2iMu5sWFdCJl5T1WhorUYGmadhZW/vp7gJvim1cAP6tE+4qDB9eMVm648mxOiHTy86FZPHLvX7KUmRQKhWICuR9rcvBx4H8z/k1asjLhpMRXoO4nSa5dzIQ0d/Yg3he2DVzWP4N86em0ehBDWmsWGTJv5lF6V/ZMpWjEqr+JRqw1iro6ANvAM0MUwM6IIXihO0zUMPM7bTk+8EUlL+y0VNKGDYelLJd0SGR2gChHGwLAMIlJwe74uefEn9vR6bf5Q8LILcKRYHPQzYGoi2Asc9gZd2A625Drn00/qDP/vLbctSVZj+cNGewKZadTDdrsM3M8MGn+YSSHah3xer5oxKqfGyhcA5aFEIg8dzVVPpVul4kV+bNf84TtBZX8Ml5zCoXkOzbx3Ax7aY+kO6oSkutQveDPre7ZlxEpCsVkqmYrVYyVts/6A5aAxHAofdHgRB3hpkANz40k+suTFpjnhAxpPf8Ckt/nQFcn6wO17I248tejATtCLh4fsK7BM8Nunm3z8cRjzyMP7E/r0ms4kwIz3sxlDIBtoRpCiYmPEn6f+OJNyDzfo8RSCS+05590GC8qFcG6Fbhc1/XH4jVYYKkInlyh9hUHETX1ddx45enccv+L/EKuxP/z+3j7FRfgmFnNJeEUCsUhyqnATF3Xp8xMj+HtR+7fj2yyDdykZENcBjvfYMNOzrGLLXUqaAqGQrCr089Rc+qZUedKDtI64oPJBTUGXVEn7RFrKDHfnZqNlsHcUae9g7YB+dAA0vAjcshCy1AA9udfPnNfxEUoJvG2H8iobrGfY8pLsktxp424e7ugLnUdZSLaIuLpk8ljstvvjVnXoUbI3LLjGZEbEY/hdYZFss19Iasfr+EkbEbjtT7ZnQ0EYjQHo9k3LtMJDRdYb6hSk/j2dnKkMsba9hDbsB6mZaeXPunzsLQ2mozi5KPYVEFmTMxvCpqdEtnVDvOXppkpkHmdrGTKYX8fsnkaIVxJaffUMfk8EiNp6f5IuqNqyvR4rV0lMWRCZ9RFIO5IJOrmpHcAamsRdQ2pY22OUbbqpO2k4jWWI7aobGdu3zdFmv8l08ofnxnxMNttMHfQGtK3R1yInJfBsqE76iJRXhmTwMCA1VBcUdB+aG80vni0ADnQm9yngHlFSZsIqEY+YA4qpSK4VNf1x+I/J04tQgVTEBUHFzVuN/91+VrOaApzz/STuOPXfyO2ZWO1zVIoFIceTwGFFSImGUZXhyVt3W+rUbENvuS6p7KO2RN2ZS1mK4cGc6aT9QYN1vlrafOGkbu2EhhJd5Z2h93sDlsDSntcpSdmm8XPk5ngj9oH1vmH0XvCLp4ZybGmUgbbe/JLvcus/xPdFhi+i8TsuZl23NZgTY7FgBO2ulNplWkGpHod6R8gMJS90POwLUPqBb/HWp8oR+3R7sEwL+73piJGiaYdGcO4jtzl796YIKcyd8YpFRqbykg4p8x2JrF41CKfRH5XjrTELLPyOURDg+nOQNweI7GIsQTiKZN5I4v27wpYKZn9PRCPzHbFFzYWiTTHHO1ETJJrpuXsAiBq+w7YJOZf9HuSkxJpHfR1571/mXb0BWLsDhf+vrUH7RcxdfBAHln0pLMZ/6En6sQUhd0EX9TklUBGFNQ0rImLnL1bUSpI1Nn1QZ5FiM3eLuSIz6YaGm9LSsIxg5iZO2w+WYSqK+UAbdE07Xxd1x+1bTsPeKVC7SsOQtxOwWcuOYbpT+7mL5zM4D828amtG6m99N0Il/LNFQrFhHAV8Iimac8DaTrKuq5/vSoWlUFqMJF/VBExrRnonqiTJbW2KJNNMjlsAtEwssZDIK5wkCgyH+jz0thYT6GSdoFVX5IXpyvDXvtJZG9KG4DmO8Q0MBGpNjNW2t0fcUG9NRA+ELW1l+mUxBkOm6lBeXI2P9Xm7pCL+TUGrxU6zzy89HJchryI2mOPP4pvTzcrPeASpNKlABnN4bSWuJrqK8Fa6nByostSdBvqG7IEKSRpTpYpScnjx3nSF4/wdewFw8ScNd0SOmiZRj6sy5dvVSlrezQeKXIKq9bMkNDktI5Mu0P2Znq7oK+bpK870GPrL/4ad5Q2xOvIiolRIOPy6BmqhXLvTuSSVTkdtef9HuiNIOpyP6djHuOnRa5gd9jFHPviwIP9tA9HWZbQjBkeKnyigdQkSfvuNsTCpWkf7+gPJeu/0tIvnS6s6kqs+sT6xvTjhgz8RsrR8xki58mbMtu4onV2vZ3QH09fdjgQDfG+t27gOa+bmkVLks9qW0hA4lrYrp03GGNeUykKmJWnUhGszwL3apr2a6BO07RfAHcDN1SofcVBikMIrj7zcK46ZjrPzjqGr3W1MvjdryB7DhQ/WKFQKMbON7GEreZg1Q4n/i2vplH5kMNegCyVNwbzy7AnxuCFNO5e8HssJa/B/qw1YwYjkk3d+YQmLDKFKbLwZAldp8iIFmXiN0RWfdlgzAl91uC63zbAs5vuMxxWo0ODdBRx2AA29IUJJIIS8YaGbTLaYSkspy3nOYxySJ1Rw7R33Qb6Y860dbeSZIoahIIZkbPCNgTju24Putm6YRt0WbVa9ueiM+pK1g5lES+AGujqs6JsOaJZltq5yKqRysVzIx42BKzB70v+2qRDVHToLVPrRSXCLWYOhzhB1hbb+WXWYIElzR+L1yJhmmzyliBxn0GxJarSkDJrEeIef4wD8VTc3qigI+Li5U5btDZHlNMumrEv7Ew/KXsabjJilNqheyRqCVhkmtYyI/Wm+wD0p+agrAh6+tXdEMgddc68HHJoMG/kKnWMrW3bmFD6hiHgJ9LelnSm9/uiyLY9Vi2nrY1MEY2JpFIy7c9pmnYMcCVwJ9AGnKwUBBWl8taj5zCzqY4fPiP5fN0MbvzetzjsogsRZ16QpsKkUCgUFeZdwEpd13Os5FmY+NIkvwHmYo1Tb9d1/bYK25dO9wGoq0tKbycHExmy4bkwiYuaBwMYm1+GXLX34SDQkLVZHmgDpxV1SGDI1Mx0T1baVw5xhGAAMxRDRkxEsxX96Ig42d0V5fUFBqTr44O2M5pyF9mnhBosBcMs4ov/xq3IaRsAPh/Uxi9KjtTJQA7VwYL0dSN7uxC2qJU0bAO+UDCvT+QStshRDvoDUfpffZUVnvIHkOHkQDweqSz1vBJlRUY8kpZDvKI/5mTHAHj9tRQMecbJvKZP+jwc1ZgprVFIaCPuYBXvKkVvF7KvCzweUjrsqT46wg76jZo0Jb6c/rN/GFmTOzpS1B6325ZCKHMsQix5LexmltvIekakEUsa5I3lfpb3R9wFR/hy2Js16WHmUHTs8WV85+wLLO/agvTXUEqsJsvB2rYJihybfs1z3AC/7XttSgiHrO+tzSmUwQAy6kEaMYRzYjOjxtybpmlO4DHgfF3Xbxm7SYpDlTOXNjOvyc3N/9rPF4/5MJ989HesffEpHO//BGJ2/oUhFQqFYgzsBkYrcBEDPqvr+npN05qAlzRN+6eu6+UsUDMmgolcqQLCFvvDqfS8YnX7GPHaBjtCQGAEoxEO2CI4L/hrs6SmU8fk2Naxj8SQSDosR2h32A21MWKyMrXpu7LS93K3mrM+Z9gL7vj5lSAUUpRco/LOdkgs3lwg6pinQYYNS8xhc18Yoi5WeGJETCvFbsgoXtsUNm1OTbkXPLNIJwcBUxCKFP46FQv2vTrioNigPZlyJtNecpLzCS1yXMh04HYmJQt5aiSHs+sdTEu9S7OvXKn3TNr3AlaU79jMoJCtTqsv14RCJrkueE9nKsVTguzrRuZY0Li3O0NExTbh3RlxljzpkHPiowhmMACJVesKLDqdje18O/Yhh7eDz4NcsASaiqzDV0HG7GDpum5omraMyqUbKg5hVsys438uPpxvP9HOd496H+9sf4LLv3Y9zsuuRJz7ZoSj/C+pQqFQFOC3wF80TfsR2TVYjxc6MB716oz/7NM0bSuwAJgQB8uUqehOIs1uMOZguit9MJKoP7Kn3JhY0aMmp0mz0zYgCQUJ51EH2BlyU2dbCTWvcwVQZM2stHS3YW+uoJm1m82UQhGdvIwMW3UjiYhUvMFnEgPmmozRa3S0KUX5h/hp61RFI+AskC4ZJ58PMxhz0Ow00vZ7OVBbPEUzTlsJqZJF8WWLdSTotKnJFbom9sVso8UcvRx1ZpmHFHJo/KaD6TnW4srVjh2f4SiyB3kjx0VTBHPV09mxOfjbA7Y6vIHetLTSwm5HESPsH3sHoCHzuSwQ7QUOlCBWkg9vTBR1QdPSoOM/7/OGmZlHbMZqeADm5KkNLKSwOQ5UKl72NeBnmqZ9BWjHdtt0XS8/eVVxSDOjzsU337iYn73Qzf2cxb7Zy7n+Dz+nbt1TON778aziTIVCoRgDH4+/3pyxXQKHldqIpmlLsRYrfj7HZ9cC1wLouk5ra+uoDAXw1NcBDjx1HvrdNXjqbHObdR524eGcZmtw5ok5qWlqImKTId+HB08d+LH+IeENTQYe2wxzU1MzftsxIhRA1nkYAWbWmXiCxedTHdIAYdkJ4GxowLBFAVyNjZh+iRn/3N3oJhQTeGR6243NbjwlRGYAhNOJNAxELIKss0vYx1JS7OEArpmtxIat96LWg4hEknaOFmddHUa+AVxPR7J/4XQj6uowzcKOXLi2Fo/NsahpakJEIzQ2NtBUJ2lqaiRa56HDWYvDI3Jme2YiamqpE+CJy8QLpxtpVH51Akf8vrsaGonluK61Dtht1iUz1FwNhe+xqKtDZmiEOwXY5wV6HR5a69KfYzt9ZJcBOoSDuoZ6GmprMOo8OOrrcTU1Ea2rQ7qs59Dd0IgZCWFE868BZSfxffM4JUYp69IB7oYGorbrlPk+cT1rmpqIHtiX9mz7BTaHNgNppC1BkImzoSHtvDwjw2n751oY3FnfgBG1HDyT9Cxjh+37XgxnQw31ToEscI3ahCftntU0NdEfCNFlthQs6axv25Vmh7PBjSfmxNnQiMPhoLV1Zkk2jpVKOVi/jL++j9T9SNwbFXJQlI3b6eC6U+eybHotd66HG8/5Mp9ffwcLvvEpxLmXIN5yBcKTHc5WKBSKctB1fdlY29A0rRH4A/ApXdezFAJ0Xb8duD3+Vvb1lbnwqo1QIEhNXR2hYIjOiEnIyHZ2fMMhBmMOQsEaQu37IVh4cDjoDBEKpgYke3u96cfYfg4YMUKlREGCITx1HkKJY0dG0tv0DsBAPEXO7eLp7twOR78jTChYXK4dsFQETVn0fBnxp/aJmXhcjpSdo8XtL94vACEr6hEuvEjR7gxfLezzUduxB7/hxxc18Dms69kekoUjiXYMkxEZJJSIPDijlUmFzCB5332+nNfEFDIt4vZUEApm6UoBocLXNgQ85y/STg47/SMB/IP74oaB8PmQwWAyMhXatd3yzEp8PsI+HzIYAodZcm1bKOM6hQ60p71PXM+wz2cpP1bqnmU8s+FgMC3K7UDS6jbT6yuD+QXI0r7vRfDLKMGIs/T6PyDkHYQ9O4vuty3ju9NmRgmF3TDkpallOt09vTgdo0/hnD+/tJKVMaX1aZo2N/7jMtu/w+L/Ej8rFKNCCMElq2e8mcxHAAAgAElEQVTwlTcsYsjh4YbjPs4zp78b+X9/wbzpY5gvPpmldqVQKBQTiaZpbizn6l5d1x+cyL7z/faTEl6L113ZVb/yES11gA4MlTgrX5QBW/1RgdTvdf4SnSsoTbrN6YRhu/pdhf6GDOdPm8uiiHNViDHV9kQi6YPlcXCu0ujuqEw7E/V3Phx3DuyXODK6e1WO45BFHul9OeIb13uWpcAo4qI449LXKL55JThXuRhMTEJ5B4jtf608hccxMNYI1g6gWdf1fQCapj2o6/rbxm6WQpHiuHkNfP/CpXz3qQN8r+8Y3nz5Mbz3mTtw3/5d5JP/wHH5NYgFi6ttpkKhmIJomtYMfBU4C2jFNrzSdb3gLxZN0wTwK2CrruvfH0czc5JvoBCUgmBigFfCaCKrBqYzvwBwKUIKZTMGh6NsDMNaWDbJ1Jqka4u4WFobI2H31LJ+lITHGF0sQEnXL5h/MetxsaInj6BpV4WFueNLPuRDAN3R8VHey7sI9DgwYEsbleEQrglSjBhrN5lu9tljbE+hyMmsBjffPG8xl6yezkNdcNNJ19GnfRz27cL82icxf/0jZNmKTAqFQsFPgeOBrwMzgOuA/cAPSjj2NOC9wDmapm2I/7to3CyFtL+6gTyRp3IHL8GxzLaXzCR1BUYtajGxyLY96RvijrNRRvRxslCqIMdEUNJTWUyQwt5eWWp3cSYqpFIm43mX9oTdhAuJVYwjosTFucfKWF3TyflUKA5K3E7Bh06Yw5pZdfzw2S4+7VjGtR/9AWdseBj5xMPIF55AnHcZ4oK3IepUfZZCoSiJNwFH6Lrer2maoev6nzVNWwf8lSJOlq7rTzG+45CCmBVysHaGMqXNFZOOcCgpQCAl0GHVDTU5zbjanWI0ZK3PFBuj6Mfu7WM7fjxxOstKMSy5tm+UjFnKfpIzVgfLpWnaG0j9gcl8X1TmVqEol9cvbmbZdA8/eKaTH7zk5blFF/CRL11I8yO/Rz6iI//zd8SFb0ecdSGidmzKUAqF4qDHASQKaEY0TZuGJb2+vHomFaAE5yk2GQcuajq2Yrxgq0uLqes6JrImKUayNGrGn8zo5HjhcIx/3d0kZpbL4KRWwXgnfCYYq4PVA9xpe9+f8b4smVuFolTmNdXwrTcu5k9bB/jdpj629Dr40Buv4fQ3vgX54G+Q99+F/PuDiPPfhjhbOVoKhSIvG7Hqrx4DngR+Aoxg1RhPSbYGa6ptQjbjKVTQ2FydgXGVsKfYTUx658FHXvGGvh5wT57vz5KaKNTUsm9il3CqOm4hyxLfKRXhmjhh8zE5WLquL62QHQpF2TgdgrcfOZMT5jfww+c6+Z+nD/Bwax1Xv++LrPDuwfzrfcgH7kL+7QHEmW9CnH0RYsasaputUCgmF9eQyrr4JPBtYBrWsiOTClPKqZtWY6bPnDuFHHX9kCdTAruuvmwHa7rLYDDPmkmTjdluI139bxKwsCZGexmLFjc6TEYKOIMzXQb9Y7kfnjoIBVlaG8VvOOgt0lbiyctZMZVn8eAk02ZYywwUoqZ21AqEdma4TGY3mOzLJ1I5YxYM9I65n8nGfHeMfZHKpi6bgIyEkVJOSB3W+MiDKBQTyNLpHr57/lIe3z3EPRt7ueHRfRw/r4l3vudGjvDtx/zHn5B//yPy0T8ijn894txL4PDVE1boqFAoJi+6ru+2/dwLXF1Fcwoy5t9YZdZgVJSMfqc7TfpiDpJnNWNmunR7ARockpAJc90xukapcja53JX8HFMfpsUpx8XBclDYYV/tibAtlDua4xLlRSSTeyfWKstgvjtW3MGaM99yJnKJTsT/ni+qMfDGZHEHK37aOfsUIkfEVbK0NkZ31EmodQ6ymIOVcVnnuGOjUuQTWIsq56VlOgz00uI0xkfhs0q4xzMwG4tOSJRSOViKgwKnQ/DG5dM4bUkTj+zw8petA3zhn/tZNr2Wc99wLWdc+n6an/478ql/INc9BYsPQ7z+PMTJZyKamqttvkKhmGA0TTsBCOu6/mr8/SzgVuAo4Fngc7quj1TRxCyEENQ7zNyz7nmRJEd7dienqQV8Ja7dVFMDkSKz+sXIcLAksLDGSEVB6hqxqgyKs8ITpXnBcuZ1bLUcrDIny1wia8WfMdPkNJnjMtgVzj/rPstlFB34Z9LgGGNqpdudVwXvtKYwT/pyp8/XNdYzS4TYViGF9MTdF4etRu7amvW5/RbOdBksq43hN0V6uqtwWJGhXOdjc4gcbjcUSakzpCDvnar1QCi9gSU1MRbPaGCw5TBCNuHJvI6TSPcQajIeuDqPm6CjBgKJiiDb99SGs4gjK5xO5LIVuNq2AZajeqBcR66xCUZ85R1TMXKfd02ZDnyS+YvgQFvengDEBKWAquRdxUFFvdvJO46cyR2XHc6HT5qDQ8AvX+rhqn8NcWPzG7j/qh+w653XYyKQ992OecNVGD+9GbnheWRsasj1KhSKinArMNf2/pfASuB2LCfrlmoYVYwTVs3P/cHS5VYUKMHseeCpy579bmqB1jmsnl/ixNKyFVDfOCpb7dSS/vu1zpHh5DgcMHNWamBV38DRdblTrGqWLmfRrKbUACY+Om91FYjO1aaEIdbOq0v7yL3ySDhsFcxZUPQ8FtfEOLY+TIMj3c1dWBNj/gnHURffvrQ22wlwZwwa6x2FXeVTG0O4xuoJNjTl3LzcU1gtb8kiK51+euKaTpsBztEPGfMpXiawf7qmLkqdQ9Lqyrg+DgGz56c/51hORVpbczPuoyf9fidwr1iT/HnFsnk2Y7PvS71TwqqjwZlyXk5rDLHSk9538p460q9V5tmvOGoFpx29JPk+15Vd5YngKXTJG63v8LyWuqRdjhyXeUlNlBanmfO8AOuaQmn31+4JN08rvn+x5hI/ZNyjGiE5LMd3iKaWwu3Zfled1hhiTZ1tYmjWPFxzFo7S0vJRDpbioKTW5eCildP5/oXLuO2ipVx+9ExMCfdt8fL53gVctfqjfPvt3+Ohsz7Eno5+Yj+5GfOG92Pe/UPkK+vGLtWqUCgmO0dgiVoQVw68EHiPrus/Aa4ALqmibXkRGQORZfFBiHC502fNGxphwRIaExGQBYs55dSjcM+bj5g2g8bWVmufIgJAwll4Nvx19RlO0JzcDuDJjTGOqw8zb34rCxfNYUGdwDEn5d963E5OOHIJJyyJD9pmzqbWERcjmL8ovbGW6eB0IUS6I7O6kNMwPVV/K5pb8KyOD65rahEOJ8LhyM5maMxwTmpqWNraQLNTcnxDfOA2zxqwtbpMRH0jJy2fzemNIRbVGJYT5nIlHVS7ezXbbXBCQ46o4LQZVion8v+3d+ZBclznYf+97rnv2Z2dvU9gF1gQBEGAICmRlBT6KMlypDhVfpZyWLFdkZVIiVJxlR0lqdiV/KNKKodSpciWJUdSRTb94tixHNmWLEexZFmkeMg8QIoHiGsB7IHF3rszuzP98sfr2ZnZAwSg5faAeL/aqdnp6Zn+5uvX3d/3vqMJ34pz5bqbcomD46ZGZwsOmu7w9VNFi3HzPUfjNZ1q6DM9y96WKtHmGmO92QnWJmK2A+ONhm57cYvMzjYHRBw7hTg4TjHW8I5wGC4kGCjmm9Y9EKuYMVH7ffm25i9zdjF1nXo0sa2/Ydx61W0eUSHkIULNx0LNmTnRcAwcS6wbJ3ubg9XsXLuOwI3Xj+WdHKNiuO4Qjcfq+ks6Hh2hKo7fsEEIoH/I3852RN8QUUdDdGdHUzgOFDqhb2jH95sYOFB3cBvOHfGtkwXtRUaiG026ATadwhquMFE60TfU5Dg7QG+kyv3JhhBqrg06usykT9jfF8Oj3JsoMxTd4OAWh8wRDU5OoYhuLxIeO8J+YVMELW95hvIxhvIxPnisg4VShe9fWeH5qVVemFrle94IHBkhfbfHkfI0Ry8+w9G//iz93hLusfsQJx+Cu+5FRKJvvCGLxXI7EQJqVsuDwKRS6hUApdRF3+lqPbJ5RHQe1krQ1k5s9QqPpEv8JQCi3kzAcSmmwhyMrzNbcWgb6yTiOohrS4BGhFxEd7+pJSmXoG8QJs7zSLpUTxvr6NrcZmNR/wPJEhHfctnYkskj0ll0Mg3XpgkVu+AVkw4mtEfa1WRGenwncQhnvgyTC0Qq69zblSQScdEjY1CdgVAYgcZJJKk2GO0Hoht+YYoxLvsjVSqpECuz1abJ9aPxdV5Yi9QbEmwx/AeLWaIDBXLdnZSScU4v7ZQi1WyuioEDiKEM+om/qC/c6qC64U05OsNVXi90w5zRXS6T5MqsMThrGW05t8p8rXbGdekc7CU/tUF+ublxQWxs/LrtvPNulbmqS2LkIKsz05tOnXCcbf3yHkpfv/lCPlTdXoOkNSIchoPjOPFlkude5ZG0MX4zrsfide7FlXA8Mm7z96VdDwft1w0JnCP3wnQJLpiSSBFPQDzB+MNFpr/xBADHu+Jks1G0U+bC1o1E6mlfkQbHpTtc4UomV0/Fiyeg2I0IR5rqsMON3eWqVWIhh1KxFy5d5O2p0vYGWdEoYH5/9NgJePy0+R7hjxrHZTi6wVk/ZXSrs+yGQohQCHFwHP3aS+YzgwfgysUd03ELYa+2uU3n/rtCbKZe4prtpFyPriOHmFwomXulxeJoBC667nxv4XAhTrZvgCcmltEjh2DiHH2s1NN3O3tg6rJxhMNhaCuiM75DO2Oit73hCs96CejtpyvmMFkGZwWSrsYR2kQwE0lGO5JcXp1nxW944gAPdkc5m4kQbRtgYipD6fxZnN4BmDzfLGi2jXDIoeI56P4DgBnfSUeTcqt+TSdNDUZqjq3INUc99wPrYFnuKLKxEO8azvKuYRNmnlnZ2HS2np+K8kSoC4Z/goxe58jcGe7+39/kni9/gZ6RAcTd9yGOnkTk9/9AtVgse85p4KcBBXwA+EbtDSllL/V7Y7UUIhQmPDxKyXcInKEiIhGGSTN7G3U0y24YIQTJiEtodJxOz0PU0n+2GHoi14ZOphDhCPmDIzD14uZ79xzq5bnJVVOzcHAcPX0FFuc3nSvR3oF7dXsHMzMj3oWINdzwXfumYMPMvgbo6qPLWySSiG1+Vvgz7c7hexCLILSDHh6Fs6/SE6mC9rcRiaLXy4xkQ2g/0nJ/soSAuoyFTjM7T0MESQhcR9A7Zoy0wUKK0xemm35DIVTlajYLHZ0cunKal8vbJ9kORDc447gm/apGgyNXCFU57zgcz1QJOyUiI2O8NPvK5nti4ABHzp+hrCs8vRKFTI7DHQn0koteATE8hj5r1j/Rm2ZyWvN6Q2lQrRNjrRHGbKVKYSDLt3Wzs3MiUSYkNN9biYHrIg4fg9deasrUyIeqpB2PwWgVUexpSicrhqukU4JaNxi32G067XlVyOQYe/UVnlowjUvmfC3XHL6k43FvYn1T7wBEoxxPrPPdZV+n2RwikYDrpXhinJKt1NMs6wM7GnLI3nUXC2deh+qSSZ8LR4zMmfyONThuYwhJaw7EPE6Hor6eMY0RMJ08gaYmCW4i2dTNzxWA45CujYtkioT26wszWUjnCDU4hAyPEg4JKtpFd3Rv3kRajB9Dv/TcrvpwMLVtAoGIRmFwBLqzHEpFmFycBKAj7NET05yHbWGy8fFBKvE0xZQZs7mYy3wJtBDEG9NZ/UmEU6kNJjMRJhbXEaEwumrSI4ej5lngkMpkCMdDMLNAXJjff3+yzOPLMRCCngMDpKfO8cxqFIRgXQOjRxnxj5tLi3HEwXFEMQqT5+t7tXeQ8e4M5arH2bmyOf59asNKjByGcsMCIDI4AitG1/t9yzjrYFnuaDqSYR4dyfLoiHG4ppbXeWFqlRemV3l+MsHjbeMAdJevceKvTnPyj77GXckKkaMnEEdPmm6EO5z0LRZLy/MrwB9JKX8dY6c83PDezwDfCUSqm8SNJxCxECNtDmfmIOt6zEaMYxMPOYhsczpWJuoyu1pBIGiPh1her1LGGCBuIonzwDs58VffwhGQjNXPbaPtMV6pFiHkwsYls7B7AGd2BtoKIBweHi2w4MaJuIJnLq8012vUDPYtxf8iGkNkm9OGYiFBqaIR6QxiaRk09KQj9CT9yEvtnJvKbGtRHevqhkwO/dpLPJgq8UTD714YHjUz8bukMQLQP8zdsTLZ/j6+c8E4sZ0Hh3l5YbtR3hOp0jeSw5tZR9RqQzq6EK4LyRSxK5d4aKgTlqLolxeNoe14xB1Nx/ghyOZxL5whUTNma8Z7Vx9ibtZE33zCruBw0mN5xbRsL4arzCULVOfnCAHi0FEKkeiO3XHjjjbpUgPDhKMRRDaH7h2A82c216mlAoq7T0I8CTNXzOtEkkOsIIp5zi75LQmEaEonSxy/j/ue+i4xoTnnhRnLVnl5VjNXhY6wiSyKU4/AuUX/O1OIkVM4M1WoeAghEOwcbWvErUWZwmHenirx+EqUoWgFceJtZKZKVB0P0T8MwN2dSc5cFgxuVLiCrjv210u7bO+AWTOe2sMaQiHaak6fNuN3ed08R4qdiMUlGL0LBIi2AmKjBJRMrV00RqUsGMmFOVvoJzN5lWOJMufTSRbjiU1fJx5yWCNEOOKyVq4i4ol6M4ZMHu2nMYoj98KMR7aygkhW0RNn646FgETYQYQb9r8QtIWqjCerkMvjiPOQysLCPDHHYzRaoa23sQQVnIax07QnhHHS46EIsdDukcoff8dxrq1X0BrSXpTcvPmOsIDjiTIbfSbVt+q49TTR2emdI2v+Me6kMiBiEI1RTIW5sGDOAe3xELNrvmN3/EFYXkTEczDd3Jwk1dfH8HyZc/PlN/VWfDthLUOLpYHOVITOVIQfOZBDa83k8gbPXF7hqUtJvh5r46t9jxDzNjg28Qonnv1DTqz+VwqD/Yixo4ixo6Y74S5heIvF0joopf5SSjmAaWzxilKqMUfsq8BjwUj2xrQnw9Qy2mo2UV8mSm9XmPmz3uZMdUdyez3M4UKc+VKFeNjhrs4EWmu+fd58WU/aOBFJd7sl0p2O8OpsCdqKMGUcLJFMIR54J8I3nN1UmppLMNoeo6sjx7eeNa91rYtg4+yy34Fjvdq8vQNtMaaXN4i4gorvl4Vdh7hfT7YZgWj4LnHqEZi/hmgrmO299hKRrrojNVaI8dSlKvQMmHq1LRwqxNioauLhOG2JcD1SAYiuPkRp+322xNhR83z8wU2DUAhRNx6HR81zJm/kA04m143jWFvn2Cn0c0/SH6ng+gE/kUjCybeb39GwveixUzjPvQaXpnFCIaqFLsjkCWerTSlQA9kIFxbqaWY1LT002pDm1tmLKHQRubhEW1jDpefNcj91brMFSTaPOHwPIhzm3nSV+dIOzaBcd3PfjBwfJ7VRIjFnutrF4zFEPmUik76TM9YeQ8QijLVvcNo3iDd3ZUcXYrC5qYpwBNrTuP61VcTihI6d5GE3DJV1RDjCvX0R6HtbXSRHMHr3GExOcFd7O6d9x2lbPVZbx6aBf2SsH/39S2RDHnoDHh7MwIxndsLIIQAGc1HOz5cZKaYRIw9s6ne0PUauEoJZOBj3uNBdIN+XwI0n6I/F8aYg62qOHupjsVwl7EeUT/QkATg/X2axXKUvEyHfk6Za9lPcCkUoLUMqzTvTAsihZ0x0yvGjwsKXK+o6FBJmHD7cl4C5DdBRRCKJe/dJxMI6GuNw57Y2EGGHOrB0FmJxBvJxktc09A01zZmM5mPkp03eovPAOwll8zhXr4KAQjLSNHYzQ0OIHnM8iuMPICZXzSa6ik3RqEbEqUcQGsTFejPX5bL5zbGww4lckmtrFRO9i3YgVv2IrFdtakKTiwVjk1kHy2LZBSEE3ekI7z0U4b2H8pQrHs9PrfLUpWWemojxvcJdAAyWZjjxzAsc+uYTjK1PkxscQAyPIQYPwuCBQHJ/LRbLG+M7VU/vsPzlAMS5YU705Tg3aep6mkwTzyPt6G1RokZcR9CeqDsYQgjaEyG6UmFy8QaTwLekBrJ1Q+nuzgTxsANTNKVKHy7EiW25cU13OkIhFYV8O8zN1iNYDcZUIRHi8qJDd7o5OtSeCG/K2J+NcHFhnexORtLgAeNs5QvGsfGdKzAGH7AZNQk5guNdiV0jJJ2pZhlqs/k1g7URkUyhV5Y3dSCiN16jK0490hzZi0YRuTaGNzZgdHD7+oePbXpITjZPKWq8sGtEKKbCTC1DtNjcjKNWd7y24bFQquCU29GLc00RCiEEhEK8bdjU0niXtmy40IlYL0N3/+akYSrikops3w+1yJPI5BCJFOHCEF0/OE3C8cgef/u2LI8uf3+HGiz6kCMYbY8RKfaYlNfG33Ogn7MzS4TC9e/Z7BZ3Hd2LSBQGDpCtepAvwNI8xJOM5KN0pyM8N2ciTw/2m+/qSIbxomzefdh1BPq+twFi0wkYzEVpi4dIR5v10J2OoBfMsRJrb+NQIQ7Ua8HE8CggCDmCtobjrJaaOJSPUkyFjX7bGhoxDI0Sy+dZmZ+vL2vvQCzOUxV1h9kRgp5MfQw7oQhaAInkNr0UQ1XEoaPblvdkIlxdrfBApoJY8+gb6KKvI0M05EDBHE+dWpuJFqA7H4d77tu5S+PWieaG4z4TdRnKRcnEXJLh5vWOFBNcWlw30XchEFvumdabiTBfqjCQjRB2HVIN+yEfD9GRDDF4cozYxDnEmMlAivvb6M3sT3v2GkLvd8xs/9CXL18OWgbLWxStNRcX1nnq8jJPX1rmxZm1zXsnFjYWGVm4QO/qDD2rM/Q6JQodeXLdnYS7ek0L2a4+RPKHb31ssbxV6TGznW/Fu4H/0NemQqHAX7x4gdnVCqd6U8bpAfTCHPoHz7EyNM5qMrfNabhhARfmTCRjB+MMzPkPeMObtRcKBa5MTVO9cJbI9ASirQMxemtdvLTW8MoLUOy5qTrYUsXj6soGfdndDfFCocDVq1e3La94etMJOHOthKc1o+1xtGdaXu93enihUOC1sxd59tlXGRzqZqC3gKebHZVbRU9eMmlWB8dv7fOrK6azYzRKoVBg5htfBbSJ7vmcmytR8eBgu6npqXqa71xYIh5yONX35l4PJ5fWmV2rMLta4YG+FNGQw4sLgqwoNxneulKByYvQ0XNTjjOALq2aJh39I6ZJxx6x2/h8+eoaU8sb3N2ZIB/fPhb18iIkkgjHZX6twumZVQ5ffJa2Yvt1j0O9tAhXJ2FodMdj3NN6x3HXKKf2PPST30Z09sDSoimn2OV88kZ8/8oKxWR4Txyk3XR5M9zotck6WBbLHlCueJy5VuLV2RIvX13j/Nwak8sbVLbc+yO9sUJ2fZl4tUQcj1jIIRZxiUXCxONRYok40WScWDJBNJkgHg0Rcx1iIYd01CUbc0lH3aaZSIvlrYh1sHanUCgwMzPDhqeJbLl3ja5UWqYutMngqmzsmJrXCuyF0bUf1OSseBpXvLGDGxSFQoGZ6SkaIz+tyO2231ud20HO/XSwAj8LSynfDXwKcIHPKaU+ueV94b//E8Aq8A+UUs/su6AWy3WIhhyOFBMcKdZnraqeZmp5g8tL68yuVphbXWduLszCUoTSWpm19QqLFY+S51AquaxtRCmvREzON8v+YzsOmoyokHM9smHIRx3a4iHakmHakhHaEhHakhHyqSjhSARCoZa9EFsslltDCLFZw9S0vEWcq620qnN1O7IXEas3G+HYWmTLnU2gZ2IppQt8GvgxYAJ4Ukr5FaXUiw2rvQcY9R8PAJ/xny2WlsZ1TE50T1NYu7jjutrzYHEe7+o06/PXWFtYorS0THllhbWVVdZWyyyXKyx4IeaJsBBKMB9JsxBJcSmSZj6SpuIIoIKZhzBk1pfJry+RqJaJe+vEvQ0Sep2oV0E4wtQCCMeUBAgHz3HQwvWfHTzhoB3/ufZaCIRwCDuaCJqwY26IGXYEEQfCjiledx1ByHFwXPPsuuYRcv1iZ0+j0Sb1R5sGWtrv1KS1RgPa05g3a8vM/2jtr2/eb/zf/NW/t9cpMeSWahswv9l1TU64s/W54X/X3HwU4dzY+kKYKmHhbOr1hpc17Itty6ivf6uOsq79dvOqXjlf0xk0LPN8XXng6fr/W5d53u7rxuLb7xtjsVgsFssdQtBTXfcDrymlXgeQUj4GvB9odLDeD3xJKaWBx6WUOSllt1Lqyv6La7G8OQjHgVwbbq6N5tLY7Witzf081lZhbQXWVvFWV1haXmR2dYNr63BtQ5hHxGHei7PqJVjQLpPaYU27lMxtB5u/F3C0xsEzN/jUGgeN0ObhoHE8D+E7PxvCZcMJse4/6+sU1gfJT134JoOv/8ktfbYlE6hrzheCunPU4DTR6EwFg7jvYcQv/nKgMlgsFovFEhRBO1i9wMWG1xNsj07ttE4vsM3BklJ+GPgwgFKqlidpsVjuaB4F/l3QQlgsm+zFtel2ub5ZOfcWK+feYuXcW24HOfdLxqCnnHfKd9k69Xoj6wCglPqsUuo+pdR9/udu+SGlfPqH/Y636sPqxurF6sXqZZ/08lbkjhk7Vk4rZys/rJx3npx7KOMbErSDNQH0N7zuA7a2V7qRdSwWi8VisVgsFoslcIJOEXwSGJVSDgOXgA8Af2fLOl8BPubXZz0ALNj6K4vFYrFYLBaLxdKKBBrBUkpVgI8BXwNeMovUaSnlR6SUH/FX+2PgdeA14DeBf7xP4n12n7ZzO2J1szNWLztj9bIzVi87Y/XyxtwuOrJy7i1Wzr3Fyrm33A5y7puMb+UbDVssFovFYrFYLBbLvhJ0DZbFYrFYLBaLxWKxvGWwDpbFYrFYLBaLxWKx7BFBN7loOaSUvwX8JDCtlDoatDytgpSyH/gS0AV4wGeVUp8KVqrgkVLGgG8BUczx9HtKqV8NVqrWQUrpAk8Bl5RSPxm0PK2ClPIcsARUgYp/a4k7HillDvgccBRzO46fV0p9N1ipWgcp5buBTwEu8Dml1CcDlGXHa4KU8m0HYg8AAAaCSURBVNeAfwjM+Kv+S6XUH/uf+QTwC5hx/0+VUl/bJ1nPseV4k1K2Ab8LDAHnAKmUmgtKTinlIV+eGiPAvwFyBKzPneyiW9GflPIk8AUgjqmv/7hSas/qVHaR8z8AfxNYB84AP6eUmpdSDmFq/1/2P/64UuojAcr5a9zkfg5Izt8FDvmr5IB5pdTxoPR5nfNQ4OPTRrC28wXg3UEL0YJUgF9SSo0DDwIflVIeCVimVqAMPKqUugc4DrxbSvlgwDK1Eh/HnHQt2/kbSqnj1rlq4lPAnyqlDgP3YMfOJv5kxaeB9wBHgA8GfA6+3jXhP/tj+3iDkXgE0yn4Lsw19r/5v2m/2Hq8/Qvgz5VSo8Cf+68Dk1Mp9XJNZ8BJYBX4A//toPX5BbbbRbeiv88AHwZG/cde21o7yflnwFGl1DHgFeATDe+dadDrRxqWByEn3Px+3nc5lVI/0zBO/xfw+w1vB6HP3c5DgY9P62BtQSn1LeBa0HK0GkqpK0qpZ/z/lzCGT2+wUgWPUkorpZb9l2H/YTvHAFLKPuC9mIiExXJdpJQZ4B3A5wGUUutKqflgpWop7gdeU0q9rpRaBx4D3h+UMLdwTXg/8JhSqqyUOovpDHz/my/pdeX5ov//F4G/1bA8aDl/BGOsnr/OOvsm5y520U3pT0rZDWSUUt/1owJfavjMmyanUurrfsdqgMcx91LdlaDkvA4tpc8aUkoBSOB3rvcdb7ac1zkPBT4+bYqg5abxQ8H3Ak8ELEpL4M9+PA0cBD6tlLJ6MfwX4JeBdNCCtCAa+LqUUgO/oZS6HdrbvtmMYNJj/ruU8h7MMfVxpdRKsGK1DL3AxYbXE5h7QwbOlmvCQ5h7V/4sJj34l/zUnF6MgVtjgv2bpNvpeOus3VNTKXVFSln01w1SzhofoNlwbTV9ws3rb8P/f+vy/eTnaU7DHJZSfh9YBP61UurbvkxByXkz+zlofT4CTCmlXm1YFqg+t5yHAh+fNoJluSmklClMWPifKaUWg5anFVBKVf1weR9mJuSOr92TUtbytp8OWpYW5SGl1AlMutdHpZTvCFqgFiAEnAA+o5S6F1jBT+uwACB2WBZ4tHyHa8JngAOYlOkrwH/0Vw1S/ps53gLVs5QyArwP+J/+olbU5/XYTa6g9fqvMOlkX/YXXQEG/HPNPwd+24+iByXnze7noPf/B2meBAhUnzdhm+6bPq2DZblhpJRhzAD+slLq999o/TsNP53p/2Fr+MDMYr/PLy5/DHhUSvk/ghWpdVBKXfafpzF1FkGmSrUKE8BEQwT49zAOl8UwAfQ3vO4DLgckC7DzNUEpNeVPOnnAb1If24HJv8vxNuWnBdXSmKaDltPnPcAzSqkpaE19+tys/iZoTs/bN3mllB/CNGv4u7WmBX6K2Kz//9OYBhhjQcl5C/s5SH2GgL9NQzQwSH3uYpsGPj6tg2W5Ifx8288DLyml/lPQ8rQKUsoOv/MZUso48KPAD4KVKniUUp9QSvUppYYw6S7/Vyn19wIWqyWQUiallOna/8CPAy8EK1XwKKUmgYt+NzUwdSgvBihSq/EkMCqlHPajHB8AvhKUMLtdE2pGjc9PUR/bXwE+IKWMSimHMUXk39sHOXc73r4CfMhf7UPAHwYpZwNNkYFW02cDN6U/P11rSUr5oD92frbhM28a0nTe/BXgfUqp1YblHbXmBlLKEV/O1wOU86b2c1By+vwo8AOl1GZKXVD6vI5tGvj4tDVYW5BS/g7wLqAgpZwAflUp9flgpWoJHgL+PvC8lPKv/WWbbUTvYLqBL/onFgdQSqn/E7BMltamE/gDKSWYc/BvK6X+NFiRWoZ/AnzZdyBeB34uYHlaBqVURUr5MeBrmDbtv6WUOh2gSDteEzDdDY9j0mvOAb8IoJQ6LaVUGKe5AnxUKVXdBzl3PN6klE8CSkr5C8AF4KcDlhMpZQL4MXyd+fz7oPW5k10EfJKb198/ot4G+0/8x5st5ycwt1H5M38M1NqHvwP4t1LKCqZd90eUUrWGDkHI+a5b2M/7LqdvD2+tEYTg9LnbeSjw8Sm0boWUXYvFYrFYLBaLxWK5/bEpghaLxWKxWCwWi8WyR1gHy2KxWCwWi8VisVj2COtgWSwWi8VisVgsFsseYR0si8VisVgsFovFYtkjrINlsVgsFovFYrFYLHuEdbAsFovFYrFYLBaLZY+wDpbFYrFYLBaLxWKx7BH/H5EO6lDSvr4tAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "varnames_t = ['alpha', 'beta', 'epsilon', 'nu']\n", "pm.traceplot(trace_t, varnames_t)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
meansdmc_errorhpd_2.5hpd_97.5n_effRhat
alpha9.9997082.6581460.0608795.08310615.3549582100.1215071.000022
beta2.6200330.0738720.0015022.4762162.7745432385.1467310.999750
epsilon15.7164982.6444250.06173510.74737720.9468992135.2208180.999810
nu1.7481270.4823030.0106981.0025712.6579032263.5970950.999767
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff \\\n", "alpha 9.999708 2.658146 0.060879 5.083106 15.354958 2100.121507 \n", "beta 2.620033 0.073872 0.001502 2.476216 2.774543 2385.146731 \n", "epsilon 15.716498 2.644425 0.061735 10.747377 20.946899 2135.220818 \n", "nu 1.748127 0.482303 0.010698 1.002571 2.657903 2263.597095 \n", "\n", " Rhat \n", "alpha 1.000022 \n", "beta 0.999750 \n", "epsilon 0.999810 \n", "nu 0.999767 " ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_t, varnames_t)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
yearranktitlestudiogrosstheaters_maxopeningtheaters_openwidecloseopening_of_grossyear_totaltake_of_yearprev_year_Q1_theaters_openprev_year_Q3_theaters_openprev_year_IQR_theaters_openprev_year_IQRtop_23
10020171Star Wars: The Last JediBV6201813824232.02200095844232.02019-12-152019-04-19 00:00:000.354750109170156390.0568092870.253775.750.0above1
10120172Beauty and the Beast (2017)BV5040141654210.01747506164210.02019-03-172019-07-13 00:00:000.346718109170156390.0461682870.253775.750.0above1
10220173Wonder WomanWB4125634084165.01032514714165.02019-06-022019-11-09 00:00:000.250268109170156390.0377912870.253775.750.0above1
10320174Jumanji: Welcome to the JungleSony4045154803849.0361693283765.02019-12-202019-05-31 00:00:000.089414109170156390.0370542870.253775.751.0inside1
10420175Guardians of the Galaxy Vol. 2BV3898131014347.01465101044347.02019-05-052019-09-21 00:00:000.375847109170156390.0357072870.253775.750.0above1
\n", "
" ], "text/plain": [ " year rank title studio gross \\\n", "100 2017 1 Star Wars: The Last Jedi BV 620181382 \n", "101 2017 2 Beauty and the Beast (2017) BV 504014165 \n", "102 2017 3 Wonder Woman WB 412563408 \n", "103 2017 4 Jumanji: Welcome to the Jungle Sony 404515480 \n", "104 2017 5 Guardians of the Galaxy Vol. 2 BV 389813101 \n", "\n", " theaters_max opening theaters_open wide close \\\n", "100 4232.0 220009584 4232.0 2019-12-15 2019-04-19 00:00:00 \n", "101 4210.0 174750616 4210.0 2019-03-17 2019-07-13 00:00:00 \n", "102 4165.0 103251471 4165.0 2019-06-02 2019-11-09 00:00:00 \n", "103 3849.0 36169328 3765.0 2019-12-20 2019-05-31 00:00:00 \n", "104 4347.0 146510104 4347.0 2019-05-05 2019-09-21 00:00:00 \n", "\n", " opening_of_gross year_total take_of_year prev_year_Q1_theaters_open \\\n", "100 0.354750 10917015639 0.056809 2870.25 \n", "101 0.346718 10917015639 0.046168 2870.25 \n", "102 0.250268 10917015639 0.037791 2870.25 \n", "103 0.089414 10917015639 0.037054 2870.25 \n", "104 0.375847 10917015639 0.035707 2870.25 \n", "\n", " prev_year_Q3_theaters_open prev_year_IQR_theaters_open prev_year_IQR \\\n", "100 3775.75 0.0 above \n", "101 3775.75 0.0 above \n", "102 3775.75 0.0 above \n", "103 3775.75 1.0 inside \n", "104 3775.75 0.0 above \n", "\n", " top_23 \n", "100 1 \n", "101 1 \n", "102 1 \n", "103 1 \n", "104 1 " ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_movies_2017 = df_movies[df_movies.year == 2017]\n", "df_movies_2017.head()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_17 = df_movies_2017.opening / 1e6\n", "y_17 = df_movies_2017.gross / 1e6\n", "\n", "_, ax = plt.subplots(1, 2, figsize=(8, 4))\n", "ax[0].plot(x_17, y_17, 'C0.')\n", "ax[0].set_xlabel('opening 2017')\n", "ax[0].set_ylabel('total 2017', rotation=90)\n", "# ax[0].plot(x, y_real, 'k')\n", "az.plot_kde(y, ax=ax[1])\n", "ax[1].set_xlabel('total 2017')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "alpha_mt = trace_t['alpha'].mean()\n", "beta_mt = trace_t['beta'].mean()\n", "\n", "plt.figure(figsize=(8,8))\n", "plt.plot(x_17, y_17, '.')\n", "plt.plot(x_17, alpha_m + beta_m * x_17, label=\"Gaussian\")\n", "plt.plot(x_17, alpha_mt + beta_mt * x_17, label='robust')\n", "\n", "plt.legend(loc=2, fontsize=12)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(45.115778410027026, 45.68096376701758)" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def rmse(y_s, y_hat):\n", " return np.sqrt(np.mean(np.square(y_s - y_hat)))\n", " \n", "rmse(y_17, alpha_m + beta_m * x_17), rmse(y_17, alpha_mt + beta_mt * x_17)" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
year_total
year
201811443053554
201710917015639
201611020669954
201511056139869
20149962444806
201310639099916
201210684309637
20119720900574
20109965289688
200910779498528
20089329189029
20079327619301
\n", "
" ], "text/plain": [ " year_total\n", "year \n", "2018 11443053554\n", "2017 10917015639\n", "2016 11020669954\n", "2015 11056139869\n", "2014 9962444806\n", "2013 10639099916\n", "2012 10684309637\n", "2011 9720900574\n", "2010 9965289688\n", "2009 10779498528\n", "2008 9329189029\n", "2007 9327619301" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_movies.pivot_table('year_total', 'year').sort_index(ascending=False).head(12)" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
yearrankgrosstheaters_maxopeningtheaters_openopening_of_grossyear_totaltake_of_yearprev_year_Q1_theaters_openprev_year_Q3_theaters_openprev_year_IQR_theaters_opentop_23
count900.000000900.000009.000000e+02900.0000009.000000e+02900.000000900.0000009.000000e+02900.000000900.000000900.000000900.000000900.000000
mean2013.00000050.500009.880337e+073141.4388892.965413e+072928.9011110.3065641.052726e+100.0093842692.2500003535.5277780.4877780.230000
std2.58342528.882129.599552e+07678.1473613.156643e+071046.9914870.1214354.787958e+080.008982144.901054124.7067440.5001290.421066
min2009.0000001.000002.078370e+07776.0000003.161000e+041.0000000.0006079.720901e+090.0019042368.0000003333.5000000.0000000.000000
25%2011.00000025.750004.023636e+072807.7500001.237883e+072718.0000000.2561899.965290e+090.0038632686.5000003470.0000000.0000000.000000
50%2013.00000050.500006.420930e+073171.0000001.985234e+073115.5000000.3203391.068431e+100.0060752727.0000003506.5000000.0000000.000000
75%2015.00000075.250001.175849e+083602.2500003.426934e+073558.7500000.3803111.091702e+100.0112822769.7500003559.5000001.0000000.000000
max2017.000000100.000009.366622e+084535.0000002.479667e+084529.0000000.6333321.105614e+100.0847192870.2500003775.7500001.0000001.000000
\n", "
" ], "text/plain": [ " year rank gross theaters_max opening \\\n", "count 900.000000 900.00000 9.000000e+02 900.000000 9.000000e+02 \n", "mean 2013.000000 50.50000 9.880337e+07 3141.438889 2.965413e+07 \n", "std 2.583425 28.88212 9.599552e+07 678.147361 3.156643e+07 \n", "min 2009.000000 1.00000 2.078370e+07 776.000000 3.161000e+04 \n", "25% 2011.000000 25.75000 4.023636e+07 2807.750000 1.237883e+07 \n", "50% 2013.000000 50.50000 6.420930e+07 3171.000000 1.985234e+07 \n", "75% 2015.000000 75.25000 1.175849e+08 3602.250000 3.426934e+07 \n", "max 2017.000000 100.00000 9.366622e+08 4535.000000 2.479667e+08 \n", "\n", " theaters_open opening_of_gross year_total take_of_year \\\n", "count 900.000000 900.000000 9.000000e+02 900.000000 \n", "mean 2928.901111 0.306564 1.052726e+10 0.009384 \n", "std 1046.991487 0.121435 4.787958e+08 0.008982 \n", "min 1.000000 0.000607 9.720901e+09 0.001904 \n", "25% 2718.000000 0.256189 9.965290e+09 0.003863 \n", "50% 3115.500000 0.320339 1.068431e+10 0.006075 \n", "75% 3558.750000 0.380311 1.091702e+10 0.011282 \n", "max 4529.000000 0.633332 1.105614e+10 0.084719 \n", "\n", " prev_year_Q1_theaters_open prev_year_Q3_theaters_open \\\n", "count 900.000000 900.000000 \n", "mean 2692.250000 3535.527778 \n", "std 144.901054 124.706744 \n", "min 2368.000000 3333.500000 \n", "25% 2686.500000 3470.000000 \n", "50% 2727.000000 3506.500000 \n", "75% 2769.750000 3559.500000 \n", "max 2870.250000 3775.750000 \n", "\n", " prev_year_IQR_theaters_open top_23 \n", "count 900.000000 900.000000 \n", "mean 0.487778 0.230000 \n", "std 0.500129 0.421066 \n", "min 0.000000 0.000000 \n", "25% 0.000000 0.000000 \n", "50% 0.000000 0.000000 \n", "75% 1.000000 0.000000 \n", "max 1.000000 1.000000 " ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "not_training = df_movies.year != 2018\n", "ten_bill_plus = df_movies.year >= 2009\n", "\n", "df_movies_test = df_movies[not_training & ten_bill_plus]\n", "df_movies_test.describe()" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_test = df_movies_test.opening / 1e6\n", "y_test = df_movies_test.gross / 1e6\n", "\n", "_, ax = plt.subplots(1, 2, figsize=(12, 6))\n", "ax[0].plot(x_test, y_test, 'C0.')\n", "ax[0].set_xlabel('opening 2009 - 17')\n", "ax[0].set_ylabel('total 2009 - 17', rotation=90)\n", "# ax[0].plot(x, y_real, 'k')\n", "az.plot_kde(y, ax=ax[1])\n", "ax[1].set_xlabel('total 2009 - 17')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x_test, y_test, '.')\n", "plt.plot(x_test, alpha_m + beta_m * x_test, label=\"Gaussian\")\n", "plt.plot(x_test, alpha_mt + beta_mt * x_test, label='robust')\n", "\n", "plt.legend(loc=2, fontsize=12)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(44.557219486395766, 45.5443973651019)" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rmse(y_test, alpha_m + beta_m * x_test), rmse(y_test, alpha_mt + beta_mt * x_test)" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(100, 10)\n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
yearranktitlestudiogrosstheaters_maxopeningtheaters_openwideclose
02019.01Avengers: EndgameBV858373000.0466235711500746622019-04-26 00:00:002019-09-12 00:00:00
12019.02The Lion King (2019)BV542461804.0480219177075947252019-07-19 00:00:00-
22019.03Toy Story 4BV433586786.0457512090806545752019-06-21 00:00:00-
32019.04Captain MarvelBV426829839.0431015343342343102019-03-08 00:00:002019-07-04 00:00:00
42019.05Spider-Man: Far from HomeSony390470129.046349257921246342019-07-02 00:00:00-
\n", "
" ], "text/plain": [ " year rank title studio gross theaters_max \\\n", "0 2019.0 1 Avengers: Endgame BV 858373000.0 4662 \n", "1 2019.0 2 The Lion King (2019) BV 542461804.0 4802 \n", "2 2019.0 3 Toy Story 4 BV 433586786.0 4575 \n", "3 2019.0 4 Captain Marvel BV 426829839.0 4310 \n", "4 2019.0 5 Spider-Man: Far from Home Sony 390470129.0 4634 \n", "\n", " opening theaters_open wide close \n", "0 357115007 4662 2019-04-26 00:00:00 2019-09-12 00:00:00 \n", "1 191770759 4725 2019-07-19 00:00:00 - \n", "2 120908065 4575 2019-06-21 00:00:00 - \n", "3 153433423 4310 2019-03-08 00:00:00 2019-07-04 00:00:00 \n", "4 92579212 4634 2019-07-02 00:00:00 - " ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_movies_2019 = pd.read_excel(\"../../20190520_wta_movies/rundown2.xlsx\", sheet_name=\"2019_YTD (Oct 16)\")\n", "df_movies_2019 = df_movies_2019[df_movies_2019.year == 2019]\n", "print(df_movies_2019.shape)\n", "df_movies_2019.head()" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(70, 10)\n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
yearranktitlestudiogrosstheaters_maxopeningtheaters_openwideclose
02019.01Avengers: EndgameBV858373000.0466235711500746622019-04-26 00:00:002019-09-12 00:00:00
32019.04Captain MarvelBV426829839.0431015343342343102019-03-08 00:00:002019-07-04 00:00:00
82019.09UsUni.175005930.037437111762537412019-03-22 00:00:002019-06-06 00:00:00
102019.011John Wick: Chapter 3 - ParabellumLG/S171015687.038505681806738502019-05-17 00:00:002019-09-12 00:00:00
112019.012How to Train Your Dragon: The Hidden WorldUni.160799505.042865502224542592019-02-22 00:00:002019-06-13 00:00:00
122019.013The Secret Life of Pets 2Uni.158257265.045644665268045612019-06-07 00:00:002019-09-19 00:00:00
132019.014Pokemon Detective PikachuWB144105346.042485436524242022019-05-10 00:00:002019-08-15 00:00:00
142019.015Shazam!WB (NL)140371656.043065350532642172019-04-05 00:00:002019-07-25 00:00:00
162019.017Dumbo (2019)BV114766307.042594599074842592019-03-29 00:00:002019-08-08 00:00:00
172019.018GlassUni.111035005.038444032892038412019-01-18 00:00:002019-04-04 00:00:00
\n", "
" ], "text/plain": [ " year rank title studio \\\n", "0 2019.0 1 Avengers: Endgame BV \n", "3 2019.0 4 Captain Marvel BV \n", "8 2019.0 9 Us Uni. \n", "10 2019.0 11 John Wick: Chapter 3 - Parabellum LG/S \n", "11 2019.0 12 How to Train Your Dragon: The Hidden World Uni. \n", "12 2019.0 13 The Secret Life of Pets 2 Uni. \n", "13 2019.0 14 Pokemon Detective Pikachu WB \n", "14 2019.0 15 Shazam! WB (NL) \n", "16 2019.0 17 Dumbo (2019) BV \n", "17 2019.0 18 Glass Uni. \n", "\n", " gross theaters_max opening theaters_open wide \\\n", "0 858373000.0 4662 357115007 4662 2019-04-26 00:00:00 \n", "3 426829839.0 4310 153433423 4310 2019-03-08 00:00:00 \n", "8 175005930.0 3743 71117625 3741 2019-03-22 00:00:00 \n", "10 171015687.0 3850 56818067 3850 2019-05-17 00:00:00 \n", "11 160799505.0 4286 55022245 4259 2019-02-22 00:00:00 \n", "12 158257265.0 4564 46652680 4561 2019-06-07 00:00:00 \n", "13 144105346.0 4248 54365242 4202 2019-05-10 00:00:00 \n", "14 140371656.0 4306 53505326 4217 2019-04-05 00:00:00 \n", "16 114766307.0 4259 45990748 4259 2019-03-29 00:00:00 \n", "17 111035005.0 3844 40328920 3841 2019-01-18 00:00:00 \n", "\n", " close \n", "0 2019-09-12 00:00:00 \n", "3 2019-07-04 00:00:00 \n", "8 2019-06-06 00:00:00 \n", "10 2019-09-12 00:00:00 \n", "11 2019-06-13 00:00:00 \n", "12 2019-09-19 00:00:00 \n", "13 2019-08-15 00:00:00 \n", "14 2019-07-25 00:00:00 \n", "16 2019-08-08 00:00:00 \n", "17 2019-04-04 00:00:00 " ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_movies_2019_closed = df_movies_2019[df_movies_2019.close != \"-\"]\n", "print(df_movies_2019_closed.shape)\n", "df_movies_2019_closed.head(10)" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAEYCAYAAABRMYxdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3XmcXFWZ//HP7a6QhRCSdGcnLIkQJGRAURYVBGUJqEEZeX4oigiKOi7jCAFBBEFQFGGMM24sIggMPoBK2HcksiqKhJBECGHJQpJOAlkgS3fd3x/nVripVHVVd7q7lv6+X696VdW559x7Tqe78tS5Z4niOEZERESknjRUugIiIiIiXU0BjoiIiNQdBTgiIiJSdxTgiIiISN1RgCMiIiJ1RwGOiIiI1B0FOCIiIlJ3FOCIiIhI3VGAIyIiInUnU+kKdCEtySzSfaJKV6AG6TNJpPuU/EyqpwCHRYsWlczT3NxMS0tLD9Sm56lttacW2jV69OhKV6Fm5T6TauHfuSv0hnb2hjZCdbez3M8k3aISERGRuqMAR0REROqOAhwRERGpOwpwREREpO4owBEREZG6owBHRERE6o4CHJFeKp43h+wdNxLPm1PpqvRacevGSldBpG7V1To4IlKeeN4cspecDa2txJkMDadeQDR+90pXq1eJ168je8nZRHvtS3TUsUSR1lIU6UrqwRHpheK5M6G1FeIstLWG99Kz1qyCNauI/3Qt8c2/rXRtROqOenBEeqFowiTiTAbaWqExQzRhUrdez8wGAz8CPgEMBJ4CTnf3x8ooexJwGjAOWAT8CrjY3eNUno8BnwL2AXYFnnT3/Quc64vA0cBeQBPwMuDAj919bSrfzsD8IlWa5O7Plqp3KVHTcBq+/SOyF3+H+J5biD88hWhI09aeVkQS6sER6YWi8buH21JHH9/tt6fMLAKmA1OAUwkBxmrgPjNrN7Iys5OBK4HbgcnA5cCFwPl5WT8O7A08CbzSzinPBVqSehwFXAV8C7jTzAp9Hv4YOCDvMa+9OndENGgI0RGfgDhL/NgDXXVaEUE9OCK9VjR+954adzMFOBA43N3vBTCzGcBc4DzgmEKFzCwD/BC43t2nJskPJb1BU83sZ+6+LEn/ortnk3IPAf2K1OVdqTK5870O/Bp4PzAjL/98d3+8/KZ2XPSe9xPfcDnxI/cRH/lJjcUR6SLqwRGR7jYFWJILbgDcfR3h1tCRZtanSLkDgGHAtXnp1wB9gSNS58uWU5G84Cbnb8nzDuWco6tF/QYQvesAWLoYFr5UiSqI1CX14IhId5sIzCqQ/iyhp2UcoTenULlcvrQ5QGvq+NY6OHmeXeDY983sf4B1wCPAOe7+ZBdd923v/Dd4/EHi52cT7bBLl59epDdSgCMi3W0osKBA+orU8WLlAFamE929zcxWtVOubGa2C3A2cKe7P506tB64DLgHWAqMB84AZpjZwcUGR5vZKcApST1pbm4GIJPJbHpdSOu+H2D5VdPo++o8tm8nX7Ur1c560BvaCPXRTgU4ItLdIiAumatwOTpZtiQzGwrcCrwBnJQ+5u6LgS+lkmaY2XRCT9QFwIcLndPdLyMERgBxS0sLAM3NzeReFxI3bgPbD2XdrH+wsZ181a5UO+tBb2gjVHc7R48eXVY+jcERke62nMK9Lbm0FQWO5cql8wFgZo3AoHbKlWRmg4C7CVPFD3P310qVcfcVwJ3Afp29bjFRFBG9452wooV4eaFhQiLSUQpwRKS7zaLweJmJhLEtL7ZTLpcvbQKh97nQuJ6SzGxbQqAyjhDcvNCB4t03xekd7wQgflFbZ4h0BQU4ItLdbgFGmNmhuQQz6wsYcIe7F9uQ6TFgGfCZvPQTCGNk7upoRcysP3AbsCdwREcW7DOzJuBIoFumjUdjx4UXC17ujtOL9Do9NgbHzP4L+ALhfvpM4PPAAOD3wM7AS4C5+8ok/5nAyUAb8A13v7un6ioiXepWwvoy15jZVGAJ8E1gOPC9XCYzi4Gr3f1EAHdvNbOzgMvNbCFwB2Hq+KnARe7ekiq7E/De5O0woI+ZfTJ5/1d3z0UNNxNmTU0FMmaWXu14gbsvSM53CaG35lHCwoDvSMpsD5y1lT+PwsbsCEC8SAGOSFfokR4cMxsDfAN4j7vvCTQCxwHfBu53912B+5P3mNkeyfGJhNVLf5HcdxeRGpNsqTCF0HMyjRDwDAYOdfd2N8Fy9ysIX4ymEGY0fYkw6+ncvKyHADcmjz0I2zXk3h+Syndk8nwxoYco/fhCKt8s4AOEAcP3AT8AngH265Zp4kA0cBBsPxQWKsAR6Qo9OYsqA/Q3s42EnptFwJm8vQbF1cBDhKmYRwM3uPt6YL6ZvQDsS/gQEpEa4+6vE6ZPn9JOnoLjW9z9SsJ2De2d/7fAb8uoR1ljaNz9N8BvysnbpcbsCLP/Sbx+HVHfYosxi0g5eiTAcfeFZvYTwh4xbwH3uPs9ZjYimY6Juy82s+FJkTFsfp97QZK2mWJrTrSnHub2F6O21Z56bZd0TjR6J+LnnobFr8LOu1a6OiI1rUcCHDMbQuiV2QV4HbjRzPIHDqYV+pa1xVoYxdacaE81z+3fWmpb7amFdpW75oR0gdw4nIWvECnAEdkqPTWL6lDCpnXLkhkTfwDeBywxs1EAyfPSJP8CYGyq/A6EW1oiInUrGrNTeKGBxiJbrafG4LwC7G9mAwi3qD5M2OBuLfA54KLk+ZYk/3TgejO7FBhNGDDYLQP7RESqxojQWxYv0fc5ka3VIz047v4EcBPwd8IU8QbCraWLgMPM7HngsOQ97j6LsNPwc4S1Lr7q7m09UVcRkUqJBgyEgYPCzuIislV6bBaVu5/LllM711N8T5cLgQu7u14iIlVlxGh4eR5xNkvUoLVYRTpLfz0iIlUkGjYKWjfCyuWlM4tIUQpwRESqyYhR4XmpxuGIbA0FOCIi1WRYCHBijcMR2SoKcEREqkiUzKRSD47I1lGAIyJSTYYnPTiaKi6yVRTgiIhUkTBVfDtoWVLpqojUNAU4IiLVpmkEtCwljrfYoUZEyqQAR0Sk2jQNh/VvwdrVla6JSM1SgCMiUmWi5uHhxfKl7WcUkaIU4IiIVJumJMBpUYAj0lkKcEREqkzUPAKAWAONRTpNAY6ISLVpCgEOyxXgiHSWAhwRkWrTNAyAWLeoRDpNAY6ISJWJ+vWHgYO0Fo7IVlCAIyJSjZqGw3KthSPSWQpwRESqUdMw2LAe3lxT6ZqI1CQFOCIiVSga0hxerGipbEVEapQCHBGRapQLcFYqwBHpDAU4IiLVaGgIcGL14Ih0igIcEZEqFA1pCi/UgyPSKQpwRESq0ZCwFo4CHJHOyVS6AiJS/8xsMPAj4BPAQOAp4HR3f6yMsicBpwHjgEXAr4CL3T1O5fkY8ClgH2BX4El337/I+cYAlwJHED4DHwa+5e5z8vL1Bc4DPgs0AbOA77n7reW3fCtsPwSiBt2iEukk9eCISLcyswiYDkwBTgWOBlYD95nZpBJlTwauBG4HJgOXAxcC5+dl/TiwN/Ak8Eo75xsAPAjsBZwM/D9gKPBnMxuVl/1K4KvABcBRhADnT2Z2ePst7hpRJgPbD4aVy3viciJ1Rz04ItLdpgAHAoe7+70AZjYDmEvoITmmUCEzywA/BK5396lJ8kNJb9BUM/uZuy9L0r/o7tmk3ENAvyJ1+SIwHpiY67ExsyeB+cBU4FtJ2l7A8cAp7n55kvYgsBtwEXBPJ34OHTekGRa8RBzHRFHUI5cUqRfqwRGR7jYFWJILbgDcfR3gwJFm1qdIuQOAYcC1eenXAH0Jt5hy58t2oC5/S9+OSoKkO5Nj6XxtwA2pfDHwO+BdZja2zOttnaHNsHEDrFndI5cTqScKcESku00k3N7J9yyhp2VcO+Vy+dLmAK2p4x2tS/75ctcYZ2b9U/ledvf8yCJXdo9OXLvDIq2FI9JpukUlIt1tKLCgQPqK1PFi5QBWphPdvc3MVrVTrlRdVhZIXwFEwGDgrRL50nXbjJmdApyS1JPm5hCgZDKZTa87Yu0OO7EGGNS2gb6dKN/TOtvOWtIb2gj10U4FOCLS3SKgMztG5gaddPVuk+Wcr1N1dvfLgMty12lpCT0vzc3N5F53RNw3dCi98fKLNOyye4fL97TOtrOW9IY2QnW3c/To0WXl0y0qEeluyync45FLW1HgWK5cOh8AZtYIDGqnXHtWtFOXGHg9de3O1LlraT8qkU5TgCMi3W0WhcfLTATWAS+2Uy6XL20Cofe50LieranLi+7+VirfTmY2sEC+dN26l8bgiHSaAhwR6W63ACPM7NBcQrKIngF3uPvGIuUeA5YBn8lLPwFYD9zVybq818x2S9WlGTgyOZYzHWgEjkvli5K6/N3dC40p6nqDh0BDA7HWwhHpMI3BEZHudiswA7jGzKYCS4BvAsOB7+UymVkMXO3uJwK4e6uZnQVcbmYLgTsIU8dPBS5y95ZU2Z2A9yZvhwF9zOyTyfu/uvvLyesrgK8Bt5jZdwg9SN8lDCz+Se587v5PM7sOuDRZj2cu8DlgP0Iw1COihkYYPBRWLCudWUQ2ox4cEelWyfoxU4DbgGmEgGcwcKi7zyxR9grgC0n5e4AvAWcD5+ZlPQS4MXnsQdiuIff+kNT53gQ+BDwDXEVYi+d14IPuvjjvnF8AfgmcQ1gn59+Aj7t7zyzylzOkGVYuJ467eqy1SH2L6uiPJl60aFHJTNU8MnxrqW21pxbalcxY0DK6HbfpM2lr/p2zv/4x8d/+QsOlvyPabvuurF+Xq4Xf563VG9oI1d3Ocj+T1IMjIlLNhmomlUhnKMAREalmQ5rCs2ZSiXSIAhwRkSoWDRkGQKwAR6RDFOCIiFQz9eCIdIoCHBGRarZpsT+thSPSET22Do6ZDSasQbEnYUn0kwhrS/we2Bl4CTB3X5nkPxM4GWgDvuHud/dUXUVEqsb2g7XYn0gn9GQPzjTgLnffHdgLmA18G7jf3XcF7k/eY2Z7EFYQnQhMBn6R7D8jItKrRA2NsP1Q3aIS6aAeCXDMbBBwEHAlgLtvcPfXgaOBq5NsVwMfT14fDdzg7uvdfT7wArBvT9RVRKTqDGnSYn8iHdRTt6jGEfaUucrM9gKeAv4TGJFbPdTdF5vZ8CT/GODxVPkFSdpmzOwU4JSkPM3NzSUrkslkyspXi9S22lOv7ZIuNqQJXpwLb66BbberdG1EakJPBTgZ4N3A1939CTObRnI7qohCKxRu8dXF3S8DLssdL2fVxWpenXFrqW21pxbalawaKhUUDWkOH4ArWxTgiJSpp8bgLAAWuPsTyfubCAHPEjMbBZA8L03lH5sqvwNQeh8GEZF6tGmquAYai5SrRwIcd38NeNXMJiRJHwaeA6YTdugleb4leT0dOM7M+prZLoSN857sibqKiFSdZKq4FvsTKV+PTRMHvg5cZ2bbAC8CnycEWG5mJwOvAMcCuPssM3NCENQKfNXd23qwriIiVSMa0pTcolIPjki5eizAcfengfcUOPThIvkvBC7s1kqJiNSCTYv9qQdHpFxayVhEpNptPwSiSIv9iXSAAhwRkSoXZfrAdtvrFpVIByjAERGpBUOadYtKpAMU4IiI1IIhTbDuLeK33qx0TURqggIcEZEaEG1aC0e9OCLlKHsWlZltBwwAlrq7NkQREelJm2ZSLYfRO1a2LiI1oN0AJ9nB+2zgJMJqwgAbzewp4Bx3v7+b6yciIrBpNeN4ZUvBvWxEZHOlblFNAyYT9o06AfgrcC5h5++rzOy47q2eiIhA2I8K0EwqkTKVukX1KWA3d18OYGb3A39x93eY2TPAVcAN3VxHERHRGByRDinVg7OOsFVCTivQD8DdH2fzDTFFRKS7DM7dolIPjkg5SvXgODDdzH4GRMB/An+ATbt/L+ve6omICEC0TV8YuJ16cETKVCrAOQM4kzAGJwLu5O39oSLCuBwREekJg5thhb5XipSj3QDH3TcA5yWP/GOLgEXdVC8RqSNmNhj4EfAJYCDwFHC6uz9WRtmTgNOAcYTPnF8BF+cvV2Fm70uusQ+wBvhjco03UnkeAj5Y5FJz3X33JN/OwPwi+Sa5+7Ol6t0thjTBgvnE69cR9e1XkSqI1IpOL/RnZpGZHdSVlRGR+mNmETAdmAKcChwNrAbuM7NJJcqeDFwJ3E6Y0Xk5oRf5/Lx8k4D7gFXJ+XPXmZ5cP+c/gAPyHicmx24pUIUfF8g/r3Sru4dmUomUr+yF/grYBngQaOyiuohIfZoCHAgc7u73ApjZDGAuoXf4mEKFzCwD/BC43t2nJskPJb1BU83sZ+6eu19zPvAacIy7r0/KtwB3AB8jBFi4+3MFrvPx5OVvC1RjfjKhojqkZ1KNHFPZuohUuVIL/bU3xmabLq6LiNSnKcCSXHAD4O7rzMyBr5lZH3ffWKDcAcAw4Nq89GuA04EjgGvNrA+hd+dnueAmcRdhIsQUkgAnX7KY6WeBJ9x9dqda15OSHpx45XIt9idSQqkenKsI98rXFzimvy8RKcdEYFaB9GcJy06MI/TmFCqXy5c2h7BkRe74+OQ8m+Vz99jMZqXyFXI4MJq8W14p3zez/yEsmfEIYQX3J9s5X7eKhjQRg2ZSiZShVIDzPHCGuz+Yf8DM+gHa1lZEShkKLCiQviJ1vFg5gJXpRHdvM7NVqeMF86WusWc7dTuRELz8Pi99PXAZcA+wlBBEnQHMMLODiw2ONrNTgFOSetLcHHpcMpnMptdbo3WXd7Ac6LduLYO64HxdravaWc16QxuhPtpZKsD5M7A7YaxNvrbkuIhIeyKgMxv05nqJS5UtN99mzGwIYSDyH9z99fQxd18MfCmVNMPMphN6oi4APlzonO5+GSEwAohbWkJPS3NzM7nXWyOOwryQtxYvZEMXnK+rdVU7q1lvaCNUdztHjx5dVr5S08S/1M6xjcAhHauWiPRCyyncS5NLW1HgWK5cLt/aXGIybmZQqlw6X6FrFDv/p4C+FB5cvAV3X2FmdwJWTv7uEPUbAP0H6BaVSBk6PU1cRKRMxcbBTCTcHnqxnXK5fGkTCF/OcsfnJecpdI09KDz+B+DzhFtn9xU5Xkjlxx4ObtI0cZEylJwmbmaHE+5TTwS2I6xfMQu4Kj0rQkSkiFuAk8zsUHe/D8DM+hJ6Qu4oMoMK4DHCLKjPEGZE5ZxAGCNzF4Te5KRn5VgzOydZoBQzmwwMp8D6NmY2EXgP8AN3z5bTCDNrAo4EKjttfEgzLH6VeOMGoj6azCpSTKlp4v9FmI55OXAz8Aaha3gv4Goz+5G7T+v2WopILbsVmAFcY2ZTgSXANwnBx/dymcwsBq529xMB3L3VzM4CLjezhYQ1bQ4gLOJ3kbun79OcCzwB3Gxm04CRwMXJdW8rUKfPJ8+/LVRhM7uE0FvzKNACvAOYCmwPnNWh1nexqGlYGGy0ogVGlDcWQaQ3KtWDMxU4xN3n5KX/wcz+jzD4WAGOiBSVTNeeQlgVeBqwLWH5iUPdfWaJslckgc9phKBoEXA2IXhJ55tpZocRtmq4lTBm5w+ErRryt3TIAMcDj7j780UuPQv4MqH3Ojfe58/Ase7+TJlN7x5Dh4Xn5UsV4Ii0o1SAsy3F95t6DRjQtdURkXqUzFLaNIW6SJ6C41vc/UrCdg2lrvEI8IEy8rUCo0rk+Q3wm1Lnqoim4QDEy5dWwYAgkepVKsC5GbjVzM4HnmHzW1RnAzd1b/VERCTt7VtU2lVcpD2lZlF9mXAP+mrCffO3kuerCQPtvtKttRMRkc0lPTgsX1rZeohUuVLr4GwAzgTOTDa4GwisyV8US0REesjgJmhoIF6uHhyR9pS9m3gS1CiwERGpoKixMUwVVw+OSLtKTRMfSJj58H7CrILvuvu81PGZ7j6pe6soIiKbaRoGL8wmbmsLAY+IbKHUGJxLgJ0Ja1UsBZ40s4NTx3fujkqJiEhx0dDhkM3C68V2oRCRUgHOx4BPufsf3f2bwHGAm9lR3V81EREpqCm1Fo6IFFQqwOlPWBIdgGRrhinAb8zsWDq3Q7CIiGyN3Fo4KxTgiBRTKsB5FjgoneDujxP2Y/kftNBfrxbPm0P2jhuJ5+UvdC0i3Sna1IOjmVQixZQKcH4IDM1PdPd/AIcC13RHpaT6xfPmkL3kbOI/XReeFeSI9JyhWgtHpJRS6+Dc0c6xZ4GTurxGUhPiuTOhtRXiLLS1Es+dSTR+90pXS6R3SHpwtBaOSHGlenBECoomTIJMBhoaoDET3otIj4j6bAODBoPG4IgUVfZCfyJp0fjdaTj1gtBzM2GSem9EelrTcFjwEnEcE0XadlMkX48GOGbWCPwNWOjuHzWzocDvCevpvASYu69M8p4JnAy0Ad9w97t7sq5SWjR+dwU2IhUSNQ0nnv8vWP06DBpS6eqIVJ2evkX1n8Ds1PtvA/e7+67A/cl7zGwPwpo7E4HJwC+S4EhERCC1Fo7G4YgUUrQHx8zOL+cE7n5OOfnMbAfgI8CFwLeS5KOBg5PXVwMPAWck6Te4+3pgvpm9AOwLPFbOtURE6l56V/FddqtsXUSqUHu3qMZ28bV+CpwObJdKG+HuiwHcfbGZJX+xjAEeT+VbkKRtxsxOAU5JytPc3FyyEplMpqx8tUhtqz312i7pftHQ4cRAvHwpGoEjsqWiAY67f76rLmJmHwWWuvtTeXtZFVPo73WLVZPd/TLgstzxlpaWkidubm6mnHy1SG2rPbXQrtGjR1e6ClLIsBHhedlrla2HSJXq0CBjM9sOaCYVgLj7i2UUfT8wJdnDqh8wyMyuBZaY2aik92YUYUNPCD026R6kHYBFHamriEhdGzYSoohYAY5IQWUFOMmg3+uAvQg9KRFv96iUHPzr7mcCZybnOhg4zd0/Y2YXA58DLkqeb0mKTAeuN7NLgdHArsCT5TVJRKT+RX22gcFN6sERKaLcWVS/AB4kbNuwChgC/JoQlGyNi4DDzOx54LDkPe4+C3DgOeAu4Kvu3raV1xIRqS/DRsLypcStrZWuiUjVKfcW1V7AYe6+0cwid3/DzKYSNuO8tiMXdPeHCLOlcPflwIeL5LuQMONKREQKiIaPIv7Xs2FF4+EaKyWSVm4PzjqgT/K6xcx2TMo2dUutRESktGEjw/NS3aYSyVdugDMDsOT1TcCdwJ+BB7qjUiIiUoZhowCIly2ucEVEqk9Zt6jc3VJvzyLcmtqOsDifiIhUQDR8VJjtoR4ckS2U1YNjZqflXrt71t2vdfdfAl/utpqJiEj7kltU8VKtoiGSr9xbVMW2Yzi7qyoiIiIdEw3YFgYNhiUKcETytXuLysw+lLxsNLND2HyF4XHA6u6qmIjUDzMbDPwI+AQwEHgKON3dS+4vZ2YnAacRPnMWAb8CLnb3OC/f+5Jr7AOsAf6YXOONVJ4TgasKXGa5u2+2Z4aZ9QXOAz5LmFAxC/ieu99aRpN7zsgxMG8OcWsrUaZDa7eK1LVSPThXJo9+wG9S768ATgK+3q21E5GaZ2YRYfHOKcCphM10VwP3mdmkEmVPJnzm3A5MBi4nLB9xfl6+ScB9hHW6jk5dZ3py/XzHAQekHkcUyHMl8FXgAuAoQoDzJzM7vGSje1A0Ygy0tUGLxuGIpLUb7rv7LgBmdo27n9AzVRKROjMFOBA43N3vBTCzGcBcQg/JMYUKmVkG+CFwvbtPTZIfSnqDpprZz9x9WZJ+PvAacIy7r0/KtwB3AB8jBFhp/3T3OcUqbGZ7AccDp7j75Unag8BuhAVJ7+lA+7vXyGQf4tcWwsgdKlsXkSpS1hgcdz/BzDJmdpCZfcrMDkw+fERESpkCLMkFNwDuvo6wWvmRZtanSLkDgGFsuZjoNUBfkl6XpPxk4MZccJO4C1iWXL8zdW4DbkjVOQZ+B7zLzMYWK9jTohEhqImXLKxwTUSqS7mzqCYAs4HrgW8A/wfMMbN3dmPdRKQ+TCTc3sn3LOH297h2yuXypc0BWlPHxyfn2SxfEpDMSuVLe8jM2sxsqZn9NtnsN//aL7t7/jjD3DX2KFLnnpfuwRGRTcrthfklcBnwk9zAvmTq+C+AQ7qpbiJSH4YCCwqkr0gdL1YOYGU60d3bzGxV6njBfKlr7Jl6vxj4PvAEsBbYF/g28EEz28fd03Uqdr6idTazU4BTknrS3BzGLWcymU2vu1o8ZDBLMxkyLUsY2k3XKFd3trNa9IY2Qn20s9wAZ2/CXlTpWQs/Bb7T9VUSkToTAXHJXIXLUUbZcvPh7ncDd6eSHjKzvwB/IQwo/n7qnB2us7tfRvgyCBC3tLQA0NzcTO51t2geycYF81m2bBlRVGhMdc/o9nZWgd7QRqjudo4eXd6+a+Wug7MI+GBe2oFJuohIe5ZTuMcjl7aiwLFcuXQ+AMysERiUKlcwXyqt2PkBcPdHgZeA/bugzpUxekdYsxpWv17pmohUjXJ7cM4iTLe8DXgZ2An4CPCZ7qqYiNSNWYTPi3wTCRv5vthOuVy+V1PpEwifXbnj85LzFBprswdQzro1+T02s4BPmtlAd1+TV+d03apCNGZH4r8/CgtfgUFDKl0dkapQ7iyq6cC7eXsPqmeBfdz9lm6sm4jUh1uAEWZ2aC4hWUTPgDvcfWORco8RZkHlf5E6AVhPmCVFUv5O4Fgz2yZ1jcnA8OT6RZnZgYQvbY+nkqcDjYT1cnL5oqQuf3f3QmOKKiYavSMA8aJXS+QU6T3K6sExs9Pc/SeEBa/S6d9y90u7pWYiUi9uBWYA15jZVGAJ8E1C8PG9XCYzi4Gr3f1EAHdvNbOzgMvNbCFhTZsDCIv4XeTu6QEC5xIGDt9sZtOAkcDFyXVvS13jXuABwpe0NwmDjE8n9CL9PJfP3f9pZtcBlyZLYswFPgfsBxzZJT+VrjRmp/C86OXK1kOkimgvKhHpVsnkhCmEQGMaIeAZDBzq7jNLlL0C+EJS/h7gS4TPnXPz8s0EDgOGJOf/afI8JW9yxLOErReuJ/T6nEJYZ2d/d8+fNfUFwgzSc5K8/wZ83N2rZ5G/nGGjoDFDvOiVStdEpGpEcVx8okBqL6pbgY+y5V5U33X3nbqveh0SL1pUesxzNY86HcuYAAAgAElEQVQM31pqW+2phXYlMxYqNzWndm36TOqJf+e2730dVrTQMO36is2kqoXf563VG9oI1d3Ocj+TSt2iujJ5zu1FlRMTlkXXXlQiIlUgGr0j8cKXYWULDB1W6eqIVJz2ohIRqQdjd4G/zoBX5yvAEaEDe1F1d0VERKTzorFhx4v41WKz7kV6l3IHGYuISDXbMQlwXlGAIwIKcERE6kI0aDAMHgoKcEQABTgiIvVj7DhYvpR47ZrSeUXqnAIcEZE6ESW3qXhlXmUrIlIFFOCIiNSJaOd3ABC/9EJlKyJSBRTgiIjUi10mABC/OLfCFRGpPAU4IiJ1Itp+CDQNh/lzaW+VepHeQAGOiEgdicZNgDdWwoplla6KSEUpwBERqSfjdJtKBBTgiIjUlWj87uHFC7MrWxGRClOAIyJST8aOg779iOfOrHRNRCpKAY6ISB2JMhnYdQ9Y+DLx6jcqXR2RilGAIyJSZ6IJk8KLfz1b2YqIVJACHBGROpMLcOI5uk0lvZcCHBGRerPjeOi/LfFzT1e6JiIVowBHRKTORI2N8M69YOki4mWvVbo6IhWhAEdEpA5Fe74bgPjZpypcE5HKUIAjIlKHoj33ASCeqQBHeqdMT1zEzMYC1wAjgSxwmbtPM7OhwO+BnYGXAHP3lUmZM4GTgTbgG+5+d0/UVUSkHkRDmmCHnWHuM8Tr1xP17VvpKon0qJ7qwWkFTnX3dwL7A181sz2AbwP3u/uuwP3Je5JjxwETgcnAL8yssYfqKiJSF6K994cNG2CWenGk9+mRAMfdF7v735PXq4HZwBjgaODqJNvVwMeT10cDN7j7enefD7wA7NsTdRURqRfRPgcAED/1WIVrItLzeuQWVZqZ7Qy8C3gCGOHuiyEEQWY2PMk2Bng8VWxBkpZ/rlOAU5LyNDc3l7x+JpMpK18tUttqT722S6rEmJ1h+CjimX8l3riRqE+fStdIpMf0aIBjZgOBm4FvuvsqMyuWNSqQFucnuPtlwGW54y0tLSXr0NzcTDn5apHaVntqoV2jR4+udBWkk6IoItrnfcR33gzPPAn7vL/SVRLpMT0W4JhZH0Jwc527/yFJXmJmo5Lem1HA0iR9ATA2VXwHYFFP1VVEupaZDQZ+BHwCGAg8BZzu7iXvnZjZScBpwDjC58CvgIvdPc7L977kGvsAa4A/Jtd4I5Xni4Rb4HsBTcDLgAM/dve1qXw7A/OLVGmSu9fMHgjR+w8jvvNmsn++i0YFONKL9MgYHDOLgCuB2e5+aerQdOBzyevPAbek0o8zs75mtguwK/BkT9RVRLpW8vc/HZgCnEoIMFYD95nZpBJlTyZ8dtxOmHBwOXAhcH5evknAfcCq5Py560xPrp9zLtCSHD8KuAr4FnCnmRX6PPwxcEDeY16ZTa8K0YjRYdG/2f8kXqrvidJ79FQPzvuBzwIzzSy3dvhZwEWAJx9irwDHArj7LDNz4DnCDKyvuntbD9W1IuJ5c4jnziSaMIlo/O6Vro5IV5oCHAgc7u73ApjZDGAucB5wTKFCZpYBfghc7+5Tk+SHkt6gqWb2M3dflqSfD7wGHOPu65PyLcAdwMcIARbAu1Jlcud7Hfg14XNqRl415rv749S4hoOOIDv7n8QP3030yc9XujoiPaJHAhx3/wuFx9UAfLhImQsJ39TqQnsBTDxvDtlLzobWVuJMhoZTL1CQI/VkCrAkF9wAuPu65EvM18ysj7tvLFDuAGAYcG1e+jXA6cARwLXJ7e/JwM9ywU3iLmBZcv3pyXWXsaW/Jc87dLhltWLv/WDQYOJH7ic++jMabCy9glYy7gG5ACb+03Xhed6czY/PnQmtrRBnoa01vBepHxOBWQXSnwX6EcbWFCuXy5c2h9Czmzs+PjnPZvmSMTqzUvmKOTh5nl3g2PfNbKOZrTazu8ysJperiDJ9iN5/KKxZRfz3RytdHZEe0ePTxHujQgFMuocmmjCJOJOBtlZozBBNaHdYgkitGUqYOJBvRep4sXIAK9OJ7t5mZqtSxwvmS11jz2IVS8b4nQ3c6e7prbfXE2Zo3kOY/DAeOAOYYWYHFxscXWzpimpYDqDt6ONoufsPND5wK0OPOoYoKtap3nnV0M7u1hvaCPXRTgU43WCL21EDB0EUAVHBACYavzsNp16gMThSryIKLPNQZjnKKFtuvs0kW8XcCrwBnJQ+lqzP9aVU0gwzm07oEbqA4rfWCy5dURXLATRuQ7TfB2l97EFa7r2V6N3v6/JLVEU7u1lvaCNUdzvLXbpCt6i6WP7tqOzDdxPfcHnovWloIDruiwUDmGj87jQcdayCG6lHyyncS5NLW1HgWK5cOh8AybYtg1LlCuZLpW1xfjMbBNxNmCp+mLu/VqzyOe6+ArgT2K9U3moVffQ4aGgg+8driTcWGvYkUj8U4HSxLW5HPfVI8j4OjzWrKl1FkZ5WbBzMRGAd8GI75XL50iYQep9zx+cl5yl0jT3IG/9jZtsSApVxhODmhRL1T+v6+zo9KBo+iuhDH4XXFhDfeVOlqyPSrRTgdLFowiTIZKChIdyO2uf9m7/X+BrpfW4BRpjZobkEM+sLGHBHkRlUAI8RZkF9Ji/9BMIYmbsAkvJ3Asea2Tapa0wGhvP2+lqYWX/gNsK4nCM6smCfmTUBR7L5NjI1Jzr6eBg6jPjOG4kXv1rp6oh0G43B6WL542kA4onvhteXEx14uG5BSW90K2F9mWvMbCqwBPgmIfj4Xi6TmcXA1e5+IoC7t5rZWcDlZraQsKbNAYRF+i5y9/QAgXMJ+9vdbGbTgJHAxcl1b0vlu5kwa2oqkDGz/VPHFrj7gqQulxB6ax4lLAz4jqTM9oQ1vGpW1K8/DZ/5CtmfnU/2mv+lYeoPiRr0XVfqj36ru0FuPA1A9iffgacfh5eeJ77+11tMERepd8l07SmEQGMaIeAZDBzq7u2uieDuVwBfSMrfQxj4ezYhoEnnmwkcBgxJzv/T5HlK3pYORybPFxN6iNKPL6TyzQI+QBgwfB/wA+AZYD93r/lV1aNJ7yF674Hwwmziu26udHVEukUUx52Z3FCV4kWLSi9D3pMjw7N33Ej8x9+9nRBFRB//zKbgp6tV86j3rVWvbauFdiUzFmp67EmFbPpMqsZ/53jNKrIXfAtWtNDwje8S7bnPVp+zGtvZ1XpDG6G621nuZ5J6cLpRGI+TWjG0oVFjcESkKkQDB9Hw5TOgT4bsLy8ifqHQOocitUsBTjeKxu9Ow2kXEn1wMhw0mYapP9AYHBGpGtHOu9Lw5W9DWyvZS79L9smHK10lkS6jQcbdLBq/u4IaEala0aT30PD1c8he9mPiy39CdsF8oo99WvtVSc1TD46ISC8XTXwXDWf+BEaOIb7zZrLnfpX46cepozGa0gupB6cLpLdmALTlgojUnGjkGBrOuoT49t8T33cr2Z//AIaPJnr3AUR77Qs7vUO9OlJTFOAUscV+Uu3ky15yNrS2Ejc2htWK29qIGxqIjv8yDQcd0YO1FhHpvKj/AKJPfp74wCOIb/t96MW56+YwlTyTgbHjiHbYGUaOIRo1FnbYhWhIU6WrLVKQApwCNgtaMhkaTr1giyAnFwDFy5e9vTVDa8ym/f6ybcTX/4p4zE7qyRGRmhKNGE108n+F/aqee5p4zjPEL86BV+YRz/8XkNrZdMxOYV2d/T4INb77tNQXBTgFbLGf1NyZmwUp6QCIxsawDUMMNDRCW1soB5DNblFWRKRWRH36wF7vJdrrvQDEra3QsgRee5V48YKwcOnsf27q5Vm5977ERx9PtMMuFa65iAKcgqIJk4gzGWhrhcYMDBxE9o4bN92u2iwAykJ04OEwdFgot/Bl4ut/BdksZPpo3RsRqRtRJgMjx4RbVHuHtHjjBnjuabIP3s6Gp5+EZ/5GdJQRffT/ETU2VrbC0qspwCkgvZ8UAwcR33D55rer8gKg6IAPbeqlicbvTjxmJw00FpFeIeqzDey1L4177ct2C+fz+v/+gPi2G4jnzabhy2cQDRhY6SpKL6Vp4kVs2k9qzarUGJuNZKdfDxACnaOPLzg+J1dWwY2I9CZ993ovDedOg3cfALP/SfbSc4jXrql0taSXUoBTQthuIQNRFGZIzf5nGH8DCmJERPJE/QbQ8KUzwgruL79A9tLvEq9dXelqSS+kAKeE3O0q3rnX20FO60ayjz5Q6aqJiFSlqKGB6PivEB18FLwyj+y084jXr690taSXUYCTJ543h+wdN5J9+O6wG/i8OWG7hX3ez6bNS+MYHr0/zCAQEZEtRFFE9OkvhUkY8/9F9qr/Js5mK10t6UU0yDjl7enfG0MQQ0Tcpw/RcV8MA43j1B9ntk1TwEVE2hFFEXz6y8QtS+CpR4n/dC3RMSdUulrSS6gHJ+Xt6d+5JazisA7OU4+E9M1EMHBQT1dRRKSmRJkMDV8+A0buQHznTWQfvb/SVZJeQgFOymYDiiE8N2bC7alMJizot2lhvyzxDZfrNpWISAnRgIE0fP27sO12xL/7uT43pUfoFlVKbkBx9tEHYNXrMGgwDe/70GZr27BiGfHD9yR7Tm25yrGIiGwpGj6Khq98m+x/n0P25xfS8J1LiZqGVbpaUsfUg1PII/fB00/AI/cRL3yZ7LW/IPvoA2HhvgM+lOrNyWilYhGRMkUTJhF9+kuw+g2yP7+AeP26SldJ6ph6cFLieXPI3nB5WKEYQg/Ntb/YNCYn+8h9NEz9waZVjrVSsYhIxzQcNJnswleIH7iN7BWXhtWOtaWDdAMFOInsw3cTX/cryLZtfmDTgGM2zZzSAn8iIp0X2cnESxbC048TX/0/cOI3iBp0Q0G6ln6jgLabryb+3c+3DG4g3Ira9LpRt6RERLZS1NhIw1fOhPG7Ez/2QJiwkf4yKdIFen0PTvbhu+Gum4sejw48HAgdObkBxyIisnWivv1o+MY5ZH/yHeIHb4c318Dnvh427xTpAr0+wIln3FP8YN5O4SIi0nWiAQNp+K/vk/3FD4if+DPx0sU0/MdZRIOHVrpq0gPiVa/D/OeJX34eliwmXvMGDSd8vctm1/X6AIfXVxRO33s/Gib/u4IbEZFuFG03iIZTv0987S+JH7mP7HlfJzr2JKL9DyZq0ODjehO/9Sbx3x8lfuxB+Nezm49zBXhjBSjA6bjsw3ezcuZfyU56Lw0HHUHbzVfD68u3zNjQqOBGRKSHRJk+8Lmvw7jdiP0q4qumEd9+I9FBRxD923tg5A5h2wepSXFrKzz3D+LHHyJ++gnYuCEspLvbnkQT30W003gYvSMM3J4o03VhSa8JcLIP3038u5+zAeDpJ8kCPHJvkdyxFvAT6UJmNhj4EfAJYCDwFHC6uz9WRtmTgNOAccAi4FfAxe4e5+V7X3KNfYA1wB+Ta7yRl28McClwBOEz8GHgW+4+Jy9fX+A84LNAEzAL+J6739qhxktZoigiOmgy8Z7vIb7zRuJH7ye+6Srim66C7YfAmJ2IBm4PA7YNBbJZ2LiBeMM62LAB1q8Ljw3rw+SQbfpCv/5EQ5th6DCiHXaGXSYQDWmqaDt7izjbBi/MIX7qEeK/zoDVyZ/h6B2J9j+EaL+DiIZ270KPvSbAiZ96ZPP3f7oOVq8qnDlq0GwpkS5iZhEwHdgVOBV4Dfgv4D4z29/dZ7ZT9mTgCuAnwO3AAcCFwHbAd1P5JgH3AQ8CRwMjgYuB3c3s4FwwZGYDkjxZ4GRgXXKeP5vZ3u6+OHX5K5NznQ7MBU4E/mRmR7p7O4P3ZGtEQ5uJjv8K8Sc+G77tz3kmrCL/3NO0O88qaoC+fUNgE8dJ0PMWqZ0Fg8FNMG43onfsQbTrHjB2nNbh2UpxHMOba2HpYuKX/gXz5hA/9/TbQc32Q4gOO5po/0Ng7C491hvXawIcthu8+fvVrxfJGBF94FD13oh0nSnAgcDh7n4vgJnNIAQN5wHHFCpkZhngh8D17j41SX4o6Q2aamY/c/dlSfr5hMDpGHdfn5RvAe4APkYIsAC+CIwHJuZ6bMzsSWA+MBX4VpK2F3A8cIq7X56kPQjsBlwEKMDpZtGAgUTv+zC878NAcptjzSp4a224vRE1QJ9tkqCmH2QyW/zHGbduhJXLoWUJ8SvziOf/C+b/C/7+GPHfHwtBT9/+MH4C0bgJ4VbY8NEwaDBsuy306QtxFtqysGEdrHuLjWvfIH5tMax/C9atC6sxr38rXLBff6L+24YgakgTDBxUc+v7xNk2WL6M9QteJPvi8+Hn/WbyeGst8Vtvhl6yXG/ZhvXJv8ubm59ocBPRIUcR7b0/TJhUkSCy9wQ4RQOaPH36hO0YRKSrTAGW5IIbAHdfZ2YOfM3M+rj7xgLlDgCGAdfmpV9D6FU5ArjWzPoAk4Gf5YKbxF3AsuT6uQBnCvC39O0od19mZncmx76VytcG3JDKF5vZ74D/NbOx7v5qh34KslWiTAYGDw2Pssv0gWEjYdhIonfutSk9XtFC/MJz8MJzxM8/B7P/GXocoP1eIqDItJS3z51+k8nA0GHh+sNHwbBRyXNSpwpNiY83rIflS0Pgt+y10POydDEsXQwtS6CtlXb/x4yi0FOWewwbCU3DiZpGwE7jQ7A4bGTFx01VdYBjZpOBaUAjcIW7X9Tpk+04HpJf4IJGjiU64GBtvyDS9SYSxq/kexboRxhbM7dIuVy+tDlAa+r4+OQ8m+VLApJZqXy5c95epC7/bmb93f2tJN/L7r66QD6APQAFODUqGtpMtO9BsO9BAMRr18CC+WF15SWLYc0q4jfXhNtcDQ3Q0EDUtx/060//wUN4KxuHnp9+/aBv/3CMmHjdurCez+vLYeVy4hXLQiAx6x/Es/4RrrWpElHo6Rk2Igyu3XYgDBgI224XxhllMmGpkuQ5vG8E8oKGZONnWluJ21o3vWbjxlCXN9fA2tXEa9eGL/otS+CNlYV/MNsPgV12Ixo+im13eQdr+w8kytWn/7bhud8A2Gabigcv5ajaAMfMGoGfA4cBC4C/mtl0d3+uUyd8bUHxYyPH0vj9n3fqtCJS0lDC33C+FanjxcoBbPZp7O5tZrYqdbxgvtQ19sw7Z7F8ETAYeKtEvvbqLDUo2nZguI1SxtjL7ZqbWd/SUvg8RcrE69dDy2uwLOkpWfbapmdemA3ZbNGeoy5d3zmTgaYRsMPORM0joHkE0bCRMHx06HHp139T1m2bm3mrSDtrRdUGOMC+wAvu/iKAmd1AGPDXuQDnjSIdiwO3V3Aj0r0iOvc5nfv/olTZcvPllJOvU3U2s1OAUwDcnebmZgAymcym1/WsN7Sz020cM6ZgcpzNEr+5huzqVcRrVpFdu5p47RrijRvDhs+toVcm934LUQSZPkSNGcg0httyjRmiPn2IBg6iYeB2NAwcRLTdIKJ+A8rueamHf8tqDnDGsHkX8AJgv3SGYh8mhbx5xCdY/asfb57Y0MiQ7/yYbWr8HzGnHn4hi6nXttVru/Isp3CPRy6t2LCG5al8a3OJSe/uoFS5dL5C10iff0U7+WLYNPRgOeHWWYfq7O6XAZclb+OW5Btwc3MzLTX+bbgcvaGd3dbGPv1gSD8YMrzrzw2w9q3wKFM1/1uOHj26rHzVHOAUCjM3+0ZV7MOkoH0+QPTZtfSZ+Vc2jBxL1H8A0YRJrGoeBVX6j9hR1fwLubXqtW210K5yP0zaMQv4SIH0iYRp2i+2Uy6XL/1lZwLhsyt3fF5ynvRYm5w9gPS6NfljctJ1eTEZf5PL90kzG+jua/LypesmIlWqmuevLQDGpt7vQFjkq9MaDjqCIef+lMZ//xwNRx2rwcQiPeMWYISZHZpLSBbRM+COIjOoAB4jzIL6TF76CcB6wiwpkvJ3Asea2aZpKckkheHJ9dN1ea+Z7ZbK1wwcmZdvOmFyw3GpfFFSl7+7ezuD+kSkGlRzD85fgV3NbBdgIeGD5tOVrZKIdMKtwAzgGjObCiwBvkkIPr6Xy2RmMXC1u58I4O6tZnYWcLmZLSSsaXMAYbHAi9w93fV1LvAEcLOZTePthf5mALel8l0BfA24xcy+w9sL/b1FWEyQ5Nr/NLPrgEuT9XjmAp8j3CY/sgt+JiLSzaq2B8fdWwkfRHcDs0OSq1tYpMYkqwhPIQQa0wgBz2Dg0PZWMU7KXgF8ISl/D/Al4GxCQJPON5Mw43JIcv6fJs9T0ls6uPubwIeAZ4CrACeMu/lg3irGJNf9JXAOoYfo34CPaxVjkdoQxfk7edaueNGi0newamHMQ2epbbWnFtqVjMGp/kUvqs+mz6Ra+HfuCr2hnb2hjVDd7Sz3M6lqe3BEREREOksBjoiIiNQdBTgiIiJSd+pqDE6lKyBSxzQGp+P0mSTSfXrVGJyonIeZPVVu3lp7qG2196ihdknH1eK/c2/5fVYba7+dJdVTgCMiIiICKMARERGROtQbA5zLSmepWWpb7anXdsnmesu/c29oZ29oI9RBO+tpkLGIiIgI0Dt7cERERKTOKcARERGRulPNu4l3KTObTNjorxG4wt0vqnCVOsTMfgN8FFjq7nsmaUOB3wM7Ay8B5u4rk2NnAicDbcA33P3uClS7LGY2FriGsAN0FrjM3afVevvMrB/wMNCX8Ld2k7ufW+vtkvKY2WDgR8AngIHAU8Dp7v5YRStWgpl9EjgO2IfwN7kQuB34fnoHdzNrAKYSNkAdDbwI/MTdf1PgnB8j7Bw/EVgO/A44193Xd2tjOij5nP088Ht3Py6VXvNtTf4P/DbwbkLnxjzgPHf/Q3K85tuYr1f04JhZI/Bz4EhgD+BTZrZHZWvVYb8FJuelfRu43913Be5P3pO07TjCL99k4BfJz6BatQKnuvs7gf2BryZtqPX2rQc+5O57AXsDk81sf2q/XVKCmUXAdMIu6KcCRwOrgfvMbFIl61aG05Lncwi/h5cQfi8fNbMBqXznA98nDEadDNwBXGlmJ6dPZmaHA38CZgJHARcCXwWu6MY2dJiZHQwYsKrA4Zpuq5mdAtwGPAN8khB0/xbon8pW020spLf04OwLvODuLwKY2Q2ED5znKlqrDnD3h81s57zko4GDk9dXAw8BZyTpNyTR9Hwze4HwM6jKb47uvhhYnLxebWazgTHUePvcPQbWJG/7JI+YGm+XlGUKcCBwuLvfC2BmM4C5wHnAMRWsWykfc/dlqfd/NrN5wN3AvwO/M7NhhG/7F6d6wx9KemN/YGZXu3trkv4j4HF3PzF5/4CZxYQA/mJ3f6bbW1SCmfUFfk34D/4recdquq3J/xvTgDPc/ZLUoXtTeWq6jcX0ih4cwn+Wr6beL0jSat2IJDjIBQnDk/SabW/yx/gu4AnqoH1m1mhmTwNLgXvdvS7aJSVNAZbkghsAd18HOHCkmfWpWM1KyAtucv6WPO+QPE8GtgGuzct3DeH3eX/YdPt57wL5riPchp3SBVXuCt8FNgKXFjhW6209iXDr/+ft5Kn1NhbUWwKcQss61/P8+Jpsr5kNBG4GvunuhbqJc2qmfe7e5u57E/5j2NfM9mwne820S0qaCMwqkP4s0A8Y17PV2WoHJ8+zk+eJhFvLc/PyPZs6nn5+Np0p+ft+NXW8YsxsIuG23JfdfWOBLLXe1g8AcwAzs+fNrM3MXjKzM5NxN1D7bSyotwQ4C4Cxqfc7AIsqVJeutMTMRgEkz0uT9Jprb/KN9mbgutygN+qofe7+OuFW1GTqqF1S1FBgZYH0FanjNcHMhgA/IYy5uDVJHgq84e7ZvOz57cs9F/tZVPTnkIyVupzwufOXItlqva2jgV2B/yaMpzoUuIkwduYHSZ5ab2NBvWUMzl+BXc1sF8KMgOOAT1e2Sl1iOvA54KLk+ZZU+vVmdilv/3I/WZEaliH5kLkSmO3u6S7imm5fcl97o7u/bmb9CR8sP6LG2yVliaiD3rdkJuAfgMHAR9y9LTlUbvtyvZLV+rP4D8Lf2cfayVPrbW0AtgOOdfebkrQHzawZ+KaZXUDtt7GgXtGDkwyO+hphkNzskOSFuo+rlpn9H2Gw6QQzW5CMbL8IOMzMngcOS96TtM0Jg6jvAr6a+mCqRu8HPgt8yMyeTh5HUfvtG0X4IHmGEGTf6+63UfvtktKWU/jbbC5tRYFjVSXpVb0JeC9wlLvPTh1eDmyfusWRk9++5Xnp+Xkr9nNI/oP/AXAB0GZmg5Op/Q1An+R9H2q/rbl65S85cTdhCYs9qP02FtRbenBw9zsI095qkrt/qsihDxfJfyGhC7LqJV3DhcafQA23L5lN8K4C6cup4XZJWWYBHymQPhFYR1hjpGqZWQa4gfB7+hF3fzwvyyzCrMDdCOM7ciamjqefJwIzUucfRLgde2XX1rxDdgAGAT9NHmljCTPdPkXtt3UmySDhPLnP3Cy138aCekUPjohID7sFGGFmh+YSkqnIBtxRZDBrVUi+xV9NuG1zrLs/UCDbXcAG4DN56ScQxpQ9DuDurwL/AI7Py/dpwqKr07uu5h32AnBIgccS4MHk9QPUflv/mDwflZd+JLCWELTUehsL0mabIiJdLBlX9mf+f3vnH6tlWcbxD2ZQRKJlyDDCjdB+0Mxpw6xoGpI/BlHh15JQSXLmElyhgwAlLRG0Wj+ETaJMBq2rcoujQVCJzjV15mAuTc0NgkATBeIA6Vb2x3W/8HB4z+Ecd47nnJfvZ3vH8zz39dzvfbOd572e6ye8l6wv8gJwLXAOMCoinujG5bWJpEVkLZjbycD/Ki9GxHNF7tvA9WSK9cOkxeo6YGpELK3MNxZYRaYc3w2cAiwEfhsRk7t2Nx1H0kayzku1knGv3qukNaSrcS5pobkQmA7Mjoj5RaZX77EetuAYY0wnU4o8jierx/6AzD46FhjTk5WbQu1NfwYZ91f9zK3I3VDOrwLWkBafK6o/hgARsYasnHsq+cN4A7AYmNp1W+h0evteP0da5WaToRrnAd3Itu0AAAcsSURBVFfXlJtCb9/jIdiCY4wxxpiGwxYcY4wxxjQcVnBMpyGpWVJvq9BqjDGmAbGLyvR4JF0GTCMLcv0bWAF8s9b8TdI7yPTEscB2YFZErChjfYv8GcAw4OyIWFeZ+1gyRuL8cmlRRMzr+l0ZY4zpSmzBMb2B/mQGyvHAKLI2x4zK+B1kiuMJZPri4tJfpsZDZPrj83Xm/n6Z/ySyc/dkSVM6ef3GGGPeYI6YQn9HEpLeT0a1f5hsTTErIlaWsbvIQmPDyeJPjwOXRsSmMv4+4EfA6cCLwNyIiMq9e0hlYDRZcfeSStroa8CIiPh7O2THlu8ZTHai/SCwLCJ+0nI/EbG4cvpPScvJGhVIehvweWBkRDQDD0laSVZGnhkRr1KKeEmqVxV4HHB+ROwFNkpaSnbf/dlh/puNMcb0YGzBaTBKafEmMs1vEHANsFzSKRWxScDNpEVkPalg1JSFtaRLZxBZxXNRC2vIF4FvAceRhbLaqrpbV7aUSP81MAt4J9nB9qwObHM0Bypqngz8NyKeqYxvoGNdbfu0OG6r47cxxphegC04jceZwADg1tIZ9k+S7iWVjXlF5r6IeBBA0mxgl6ShpJKxMSJq1ovHJf0GmMgBheKeiHi03LscqDbHbElrshcAf611DZf0Qw52ObVKcR+dwYGaCwOAXS3EdpHN5drDamBmifM5gbTe9G/nvcaYXkaxLm+JiDndvRbTtVjBaTyGAJtbtL3fBJxYOd9cO4iIZkkvl/uGAaMk7azIHg0sq5xX41j2kgpGa7QmO6TFGl6TtKWNeQCQNIFsTDkmIraXy81kP5kqxwC7DzdfYRrpKnuWbCT3C1IZNMZ0A6WS8NSI+ENXyB9mrgtJy/JI0pXfBHw9InaX8X6k+38i+UxbGBHfq9x/J/BJMiHiyxFxV2WsH/n8uhh4K/msmd6T23b0dqzgNB5bgaGSjqooOe8Bqi6cobUDSQPILrBbSaXjgYg4t4vXuI1sdFdbQ5/qeT0knQcsIRv/VSvBPgMcLWlERDxbrp3KAYtTm0TEy1T6qki6BXi0PfcaYxqOgWR38QfJTtsrgNvI6r6QVvAR5MvgYOB+SU9GxOoyvgH4JbCgztwzSevzSLJvUxMwB7ixKzZirOA0Io+Qwb3XS/ou8DEykPYjFZkLJH2c/CG/GXgkIjYXV9atkiaTnYQhA5WbI+KpTlzjfcCPi0XmXvLhMbg1YUnnkHFCn625vGpExB5J9wA3SZpa1vsZKjE95c2pFmfTV9JbgFeK5Wg4sLN8xgJXkm9gxpg3GEnLyBeyppIUcFNELJQ0HphPWqLXA1+NiKfakP8V8AnSUrKhyB/2padWXqKwV9ISMo6wxqXAlIjYAewo45eTrm4i4o6yj//UmX4csKC8VNVc8wuwgtNlOMi4wShZQ+PJui7bgUVkltTfKmIryD+ql8lsqUnl3t3kj/wXSIvO8+QfYL9OXuN24CKyQdtLwAeAx4BXWrllLvlm9btSTLBZ0qrK+NXkg+xfpNm35cPsaWAf+XD8fTkeVsZOB54gXVrzgUnteRAaYzqf0qzxH8C4iBhQlJWTyb/ra4F3kb2UmiT1rSdfplpFWloGkZmiy1/nkvYnNEg6jnSvb6iMdyShoQ+HJjS8W9LA17k2cxhswWlAyg90W1aI7RFxVb2BiHia7CJbb+zyFufrqLiWIqJPB2RXkxlQSDoK2FI+9b737Na3st/NNKGN8ZPaGAsg2prfGNOtXEwmRqwFkHQ72Qn7LGBdvRsi4qe1Y0nzSGvLwIhomZDQKpLOBS4ja2/BgRjC6hwdSWhYBUyXdD/poppWrvfn0EQJ0wlYwTHdgqRPk+60fcB15NvMw926KGNMT2QImSgBQET8T9JmDk6c2I+kN5ElKS4iLT61WMTjaaciIelM0tI9sVKCorn8ewwZgFw7bm9Cw3fIjvLrSWv1EuA00vJsugArOKa7+Cj5AOlLFgGcEBH7undJxpgeQMv+QVuBD9VOSlLCULKIaT35S8g4vDHARtK9vYOD3UOtIuk0YCWZBfXH2vWI2CFpG5nEsLZc7khCwz7ga+WDpCuBv0REvQKkphOwgnOE0dJ11F2Ufk/zunkZxpiexwtAtWlvkLWqPkVmN00nLSB/bkX+7WX8JdL9c0t7v1jSSDJg+JqIaKojcjcwR9JjZN2srwBTKvf3JWNb+wBvLgkNrxar04mkMraNdHvNBa5o79pMx3GQsTHGmJ7EfFKJ2ClpRokL/BJZr2o7mY00riRUHCJPKiGbSAvPk3TM9f0N0q21tJLQULXQ3Ag8V+Z/ALitkiIOWUF+HxkfdGc5Hl3GhpNK2R7g52QrmTUdWJvpIO4mbowxxpiGwxYcY4wxxjQcVnCMMcYY03BYwTHGGGNMw2EFxxhjjDENhxUcY4wxxjQcVnCMMcYY03BYwTHGGGNMw2EFxxhjjDENx/8BOCBV4LPRcD8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_19 = df_movies_2019_closed.opening / 1e6\n", "y_19 = df_movies_2019_closed.gross / 1e6\n", "\n", "_, ax = plt.subplots(1, 2, figsize=(12, 6))\n", "ax[0].plot(x_19, y_19, 'C0.')\n", "ax[0].set_xlabel('opening 2019')\n", "ax[0].set_ylabel('total 2019', rotation=90)\n", "# ax[0].plot(x, y_real, 'k')\n", "az.plot_kde(y, ax=ax[1])\n", "ax[1].set_xlabel('total 2019')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzt3Xl8VOW9x/HPJJOFAGELS8IuAhFEQBBwQ6qAu1CX52qrUouiRdSqda2tu3LvVW8tCIi2ahWXR7HFWpcqlmpVQDZFdhAEJAkJJITsmZlz/5ghJpBAyCSzZL7v14sXOWeemfObE5IvZ5nn53IcBxERkUgTF+4CREREaqOAEhGRiKSAEhGRiKSAEhGRiKSAEhGRiKSAEhGRiKSAEhGRiKSAEhGRiKSAEhGRiOQOdwH1oKkuRESaH9eRBkRDQLFr166gnp+WlkZeXl4jVRNa0Vw7qP5wiubaQfWHU1PXnpGRUa9xOsUnIiIRSQElIiIRSQElIiIRSQElIiIRKSpukqiN4ziUlZXh8/lwuQ5/M0hOTg7l5eUhqqxxRWrtB/qIJSYmkpCQEOZqRKQ5itqAKisrIyEhAbf7yG/B7XYTHx8fgqoaXyTX7jgO5eXleL1ekpOTw12OiDQzUXuKz+fz1SucpOm4XC6Sk5Pxer3hLkVEmqGoDagjndaT0NH3QkSaQtQGlIiIhI7X57Bg3V6eX5YTsm3qHJmIiBzW9oJyZizOYuOeMk7q2hKPz8Ed1/RnThRQIiJSK4/PYf6aPdhv99AiIY7bTklndK/UkJ3WV0CFmcfj0c0eIhJxNu8pY8biLLYVlHNaz9ZcN7wzbZND+7sqZq9BOVvW43vvTZwt65vk9VevXs348ePp168fU6ZM4YYbbuC///u/+eKLLxg2bBjPPPMMQ4YM4dZbbwVg3rx5nHrqqQwcOJBf/OIXZGdn++t0HO6//35OOOEEMjMzGTt2LOvX+2teuHAhY8aMoV+/fgwbNow5c+Y0yXsRkdhR7vEx+z/buOPDbewr93Lv6K7ccVrXkIcTxOgRlLNlPb4n7wOPB8ftJu72R3D1yWy016+oqGDy5MlMmTKFSZMm8dFHHzF16lR+9atfAZCbm0tBQQFLlizB5/Pxn//8h8cff5zXXnuNfv368fDDDzN16lTefvttFi1axJIlS/jss89ITU1l8+bNpKamAvCb3/yGOXPmMHLkSAoKCtixY0ejvQcRiT1rd5cwY3E2u/ZXMLZPG64Z2olWSeH7HGZsBtSG1eDxgOMDrwdnw+pGDagVK1bg9XqZPHkyLpeL8847jyFDhlQ9HhcXx+23305SUhIAf/3rX7n88ssZNGgQAPfccw8DBgxgx44duN1uioqK2Lx5M0OHDqVv375Vr+N2u9m4cSMDBgygbdu2tG3bttHeg4jEjtJKHy+v2s17Gwvo2DKB/5s4kGNahv/zjTF5is/VfxC43RAXB/Fu/3IjysnJoUuXLjUuJFbvf9KhQ4caMy/k5OTQrVu3quWWLVvSrl07srOzOf3007nmmmv47W9/y+DBg7nzzjvZv38/AM899xyffPIJI0eO5JJLLmHZsmWN+j5EpPlbmVXMzf/4jvc2FnBe/3b88fzejOjZLtxlAbEaUH0y/af1Jvy80U/vAXTq1Ins7Oyq+erg8E0XO3fuzM6dO6uWS0pKyM/Pp0uXLgBMnjyZDz74gH/961989913zJ49G4AhQ4bwwgsv8PXXX3P22Wdzww03NOr7EJHmq6jcy9NfZvHAJztIiI/j8XE9mDK8My0SIicWjniKzxjzZ+ACYLe19vjAuvbAG0AvYBtgrLX5gcfuASYDXuBma+2HgfXDgBeBFsB7wC3W2rC1c3f1yWz0YDpg2LBhxMXF8cILL3D11VezcOFCVq1axcknn1zr+IkTJzJ16lQmTpxI3759mT59OkOHDqV79+6sXLmSyspKBg0aREpKCklJScTHx1NRUcG7777L2LFjSU1NpXXr1hE7Z5+IRJYvd+zn2aXZ7Cv3cunADvzXoA4kxkdOMB1Qn4peBM45aN3dwEJrbV9gYWAZY8wA4HJgYOA5s4wxB35rzgamAH0Dfw5+zWYjMTGR559/ntdee43jjjuO+fPnM3bsWBITE2sdf/rpp3PHHXcwZcoUTjzxRLZt28asWbMA2L9/P3feeScDBgxgxIgRtGvXrupIaf78+YwaNYr+/fvz8ssvM2PGjJC9RxGJPgWlHv7nsx+Y/ukPtG3h5olzenHVkI4RGU5QjyMoa+2nxpheB62eAIwJfP0SsAi4K7D+dWttObDVGLMZGGGM2QakWmu/BDDG/AWYCLwf/FuITIMHD+ajjz6qWr7gggsYN24cp5xyCsuXLz9k/NVXX83VV199yPrRo0fz8ccf17qNefPmNV7BItJsOY7Dv7cV8vyyHEo9Dj8fnMbFAzqEZDaIYDT0Lr7O1tosAGttljGmU2B9V2BxtXE7A+sqA18fvL5Wxpgp+I+2sNaSlpZ2yJicnJyj+oBrqD8M+8UXX3DsscfSvn175s+fz7p16xg7dmyD6oj0D/ImJSXV+j0Cf+11PRYNorn+aK4dVH9jydlfzv9+spkvt+UzsEtr7hnbl94dUg77nEipvbF/89UWx85h1tfKWjsXmHtgXF5e3iFjysvL633Nxe124/F46jW2sWzcuJHrrruO4uJievXqxbPPPkuHDh2Ouo5w1H60ysvLqe17BJCWllbnY9EgmuuP5tpB9QfL5zj8c3MBL67Ixec4TB7WifP7tSPeKSEvr+Swz23q2qvf1Xw4DQ2oHGNMeuDoKR3YHVi/E+hebVw3YFdgfbda1jdbV155JVdeeWW4yxCRGJS1v4KZS7L5NqeEEzqncOPILnRpXfs18EjW0IB6B5gETA/8vaDa+leNMU8BGfhvhlhqrfUaY/YbY0YBS4CrAV3RFxFpRF6fw7sb8nnl61zccS5uHNmFcX3aRG3PtvrcZv4a/hsi0owxO4H78QeTNcZMBrYDlwFYa9cYYyywFvAAN1prD3wc+Vf8eJv5+zTjGyREREJte0E5f1ycxaZAS4wbRnQhLSUh3GUFxVX9w6QRyqntQ64lJSWkpBz+Qt8B0XAdpy7RUPvhvhfhPg8frGiuP5prB9VfX5Veh/lr9/Dmt3m0SIhnyvDOnN6zdVBHTSG6BnXEAiP79jAREanTpj2lzFyczbaCck7v2Zprw9ASoyk1n3ciIhIjyj0+Xl+dx9/W7aVNspt7z+jKyG6tw11Wo1NAxYgrr7ySiy66CGNMuEsRkSCs2V3CzOotMU7sRKvE5jnNmQKqCS1YsIDnnnuO9evXk5KSQo8ePbj00kuZNGlSyO+qeeWVV0K6PRFpXCWVXl5elct7Gwvo1DKBB8/szpD0luEuq0kpoJrInDlzmD17No8++ihjxoyhZcuWrFmzhjlz5nDFFVdU9YISETmSlVnFPLM4i7wSDxf2b8fPB3eMqFnHm0rzf4dhUFhYyBNPPMFjjz3GBRdcQKtWrXC5XBx//PHMnDmTpKQkPv74Y8aPH0///v0ZPnw4Tz75ZNXzD7SFr27kyJF8+umnAKxcuZJzzz2X/v37M3jwYB544AEAysrKuOmmmxg4cCDHHXcc5513Hrm5uQBceumlvPrqqwBs27aNyy67jIEDB3L88cczbdo09u3bV2Nbc+bMYezYsWRmZnLDDTdQVlbWlLtMRGpRvSVGojuOx8f34NoIa4nRlJrNEdTzy3LYml/7L1GXy0Vj3E7fu10y1w7vfMRxy5cvp6KigrPPPrvOMSkpKTz99NP079+f9evXc8UVVzBw4EDOOefIk7z//ve/Z/LkyVx66aUUFxezfv16AN58800KCwtZtmwZiYmJrFmzpkZjxAMcx+Gmm25i5MiRFBUVcd111/Hkk0/y0EMPVY35+9//ziuvvEJSUhITJ07EWlvrZLYi0jSipSVGU2o2ARVJ9u7dS/v27WtM8nrRRRexadMmKioqmDdvHqecckrVYwMGDGDChAl8+eWX9QqohIQEtm3bVrWdA0dbCQkJ5Ofns3XrVgYMGMAJJ5xQ6/N79+5N7969Af9Er1OmTOGpp56qMeaXv/xlVcPEcePGsWbNmqPbCSLSIAWlHuYuy+Hz7fvp3S6J3/+kO8e0P/Q/mrGg2QTU4Y5sQv1h13bt2rF37148Hk9VSL3zzjuAv5mhz+djxYoVPPbYY2zYsIHKykoqKio4//zz6/X6TzzxBE888QSjR4+mR48e3HrrrYwbN45LLrmEXbt2MXXqVAoLC7n44ou56667SEio+WnyvLw8fve737F06VKKiorw+Xy0adOmxpiOHTtWfd2iRQtycnKC2SUicgSO47BoayF/Wu5viXHl4DR+GgUtMZpSbB0vhsiwYcNITEzkww8/rHPMtGnTGD9+PF999RXr16+vMbFsSkpKjWs+Xq+XPXv2VC0fc8wxzJo1i2+++YapU6dy/fXXU1JSQkJCArfddhuLFi1iwYIFfPzxx7z11luHbPvxxx/H5XLx0UcfsWHDBmbMmNEop0BFpGFyiyt5eNFO/vBlFhmpSfzhvF5cdnxaTIcTKKCaRJs2bbjtttu49957effddykuLsbn8/Htt99SWloKQFFREW3btiU5OZmVK1fyt7/9rer5xxxzDGVlZXz88cdUVlby9NNPU1FRUfX4/Pnz2bNnD3FxcaSmpgIQFxfH559/zrp16/B6vbRq1Qq3201c3KHf4qKiIlq2bEmbNm3Iyspi9uzZTbxHRKQ2Psfh/Y353PTuVr7NKeHaYZ14fFwPurfRXb7QjE7xRZqpU6fSpUsXZs+ezS233EJKSgo9e/bk3nvvZfjw4Tz22GM89NBD3HfffYwaNYoLL7yQwsJCAFJTU3nssce444478Hq9TJ06lfT09KrXXrRoEQ8++CClpaV069aNWbNmkZycTG5uLnfffTdZWVm0bNmSiy66iEsuueSQ2m677TZuueUWMjMz6dWrF5dccgnPPfdcyPaNiARaYizO4tvdpZzQJYUbR0RnS4ympMliI1w01K7JYiNTNNcOzbd+r8/h7xv2Mu/rPNxxLq45sVPEtcTQZLEiIjHm+4JyZlS1xGjFr0Z0pkOUt8RoSgooEZEmVr0lRkpCPLefmhF0S4xYoIASEWlCm/aUMmNxNt8XlDO6ZyrXDu9Em2bUEqMpaS+JiDSBco+XF1fsZsH6vbRtxi0xmlLUBlQU3NwRM/S9EKlpze4SZv9jGzsKyhjXpw2/aMYtMZpS1AZUXFxcjZkaJPQcx6G8vJz4eP3giYC/JcZfVuby/qYCMlKTeOis7gzu0rxbYjSlqP3tnpycTFlZGeXl5Ue80JiUlER5eXmIKmtckVr7gaOmxMTEQ6ZSEolFK3YVMWtJdlVLjFvOyqR4X364y4pqURtQLpeLFi1a1GtsNH+eIpprF4kF+8u9/HlFDp98V0i31EQeH9+D4zqm0CIhnuJwFxflojagRETC7cvt+5nzVTaF5V4uG9gBE4MtMZqSAkpE5CgVlHp4dlkOXwRaYtwfIy0xnC3rcTasxtV/EK4+mU2+PQWUiEg9HdwS46rBHZk4oH1MzDrubFmP78n7wOPBcbuJu/2RJg8pBZSISD3kFlcye2k2y3cVk5nWgptGdaFbDM067mxYDR4POD7wevxHUgooEZHw8TkOH24q4MWVuTiOw7XDOnFev3bEx8BRU3Wu/oNw3G7weiDejav/oCbfpgJKRKQOuworeGbJjy0xpo3sQudWsdkSw9Unk7jbH9E1KBGRcPL6HN5Zv5dXv8kjIc7FtJFdGBthLTHCwdUnMyTBdIACSkSkmuotMUZ0a8UNJ6klRrgooERECLTEWLOHN9f4W2L85tQMTlNLjLBSQIlIzKvREqNXKtcOU0uMSKDvgIjErHKPj9e+yatqifHbM7oyQi0xIoYCSkRi0pqcEmYsySJrfyXjj23DpKFqiRFpggooY8ytwLWAA6wGrgFSgDeAXsA2wFhr8wPj7wEmA17gZmvth8FsX0TkaFVvidG5VQIPn9WdE9QSIyI1eFZDY0xX4GZguLX2eCAeuBy4G1hore0LLAwsY4wZEHh8IHAOMMsYo/+uiEjIrNhVxE3vbuWDTQVcmNmOP57fW+EUwYI9xecGWhhjKvEfOe0C7gHGBB5/CVgE3AVMAF631pYDW40xm4ERwJdB1iAiclj7y738aXkO/9rqb4kxfXxPMjvWr12PhE+Dj6CstT8ATwDbgSxgn7X2n0Bna21WYEwW0CnwlK7AjmovsTOwTkSkyXyxvZBp737Hv7cVctnADvzhvF4KpyjR4CMoY0w7/EdFvYEC4E1jzJWHeUptHyZw6njtKcAUAGstaWlpDS0TALfbHfRrhEs01w6qP5yiuXYIvv49xRU8tWgLizbvoV/HlvzfxX3p17FVI1Z4eNG8/yOl9mBO8Y0FtlprcwGMMW8DpwA5xph0a22WMSYd2B0YvxPoXu353fCfEjyEtXYuMDew6ATbUTaau9JGc+2g+sMpmmuHhtfvOA7/CrTEKPc4XDWkIxOPa4/bVUZeXlkTVFq7aN7/TV17RkZGvcYFE1DbgVHGmBSgFDgLWAYUA5OA6YG/FwTGvwO8aox5CsgA+gJLg9i+iEgNucWVzFqSzYqs2GyJ0dwEcw1qCfAWsAL/LeZx+I96pgPjjDGbgHGBZay1awALrAU+AG601nqDql5EBH9LjPc35jPt3a2szS3huuGdeGxcD4VTlAvqLj5r7f3A/QetLsd/NFXb+EeBR4PZpohIdbsKK5i5JIs1u0sZ3CWFG2O4JUZzo5kkRCQqeX0OC9bv5bVAS4ybRnXhrGPUEqM5UUCJSNTZll/GjMXZbN5bxshurbheLTGaJQWUiESNSq/DW2vyeGvNHlqqJUazp4ASkaiwaU8pM77M5vt9/pYY1w3rRKpaYjRr+u6KSEQr9/h49Zs83lm/l3bJbu47oxsndQvdB24lfBRQIhKxvs0pYWagJcbZx7Zl0tCOtFRLjJihgBKRiFNS6eWJTzbz19XZdFFLjJilgBKRiLL8hyJmLc1mT4mHizLb8fPBHUl2N3hOAYliCigRiQj7y708vzyHRYGWGHPMCXRJqAh3WRJGCigRCbvPtxfy7Fc5FJV7Mcd3wBzfgfTOqVE72ao0DgWUiIRNfqmHZ7/K5ssdRfRpn8SDZ3and7vkcJclEUIBJSIhV1tLjJ8e1574OH3gVn6kgBKRkKreEuO4ji2YNqoL3VI167gcSgElIiHhcxw+2FTASytzAYcpwztzbr+2xGmaIqmDAkpEmtwPhRXMXJzF2txShnRJYapaYkg9KKBEpMnUaIkRr5YYcnQUUCLSJA5uiXHDiC60b6FfOVJ/+tciIo2q0uvw5po83vp2D60S47njtAxO7aGWGHL0FFAi0mg25pUyY3EW2/dVcEavVK5VSwwJgv7liEjQDm6J8bsx3RjeVS0xJDgKKBEJilpiSFNRQIlIg5RUenlpZS4fbCpQSwxpEgooETlqB1pi7C31MCHQEiNJLTGkkSmgRKTeCsu9/CnQEqN7m0Smn96T/mktwl2WNFMKKBGpl9paYiTE66hJmo4CSkQOa2+ph7lVLTGS1RJDQkYBJSK1chyHT77bx59W7KbC43D1kI5MVEsMCSEFlIgcYndRJbOWZrMyq5gBHVtwo1piSBgooESkis9xeH9jAX9ZpZYYEn4KKBEBDmqJkd6SG0d0oVOrhHCXJTFMASUS47w+hwXr9vLaan9LjJtHdeFMtcSQCKCAEolh2/LL+OPibLbsLWNU91Zcf5JaYkjk0L9EkRhU6fVhv93D/DV7aJUUz52nZXCKWmJIhFFAicSYDXmlzAy0xBjTK5XJwzuTmqTJXSXyBBVQxpi2wPPA8YAD/BLYALwB9AK2AcZamx8Yfw8wGfACN1trPwxm+yJSf+UeH/O+zuXvG/Jp10ItMSTyBTtPydPAB9baTGAwsA64G1hore0LLAwsY4wZAFwODATOAWYZY/TfNpEQWJ1TzM3/2MqC9fmM69OWmRf0VjhJxGvwEZQxJhUYDfwCwFpbAVQYYyYAYwLDXgIWAXcBE4DXrbXlwFZjzGZgBPBlQ2sQkcMrqfTy4opcPtzsb4nxyNjuDOqslhgSHYI5xXcMkAu8YIwZDCwHbgE6W2uzAKy1WcaYToHxXYHF1Z6/M7DuEMaYKcCUwGuQlpYWRJngdruDfo1wiebaQfWH05Lt+5j+0ffkFVdwxYlduXZUD5ITouekRTTve4ju+iOl9mACyg2cCNxkrV1ijHmawOm8OtR2e5BT20Br7Vxg7oExeXl5QZQJaWlpBPsa4RLNtYPqD4fCci9/WpbDom2F9GiTyPTx/pYYRfvyKQp3cUchGvd9ddFcf1PXnpGRUa9xwVyD2gnstNYuCSy/hT+wcowx6QCBv3dXG9+92vO7AbuC2L6IVOM4Dp9/X8i0d7/js+8LuWZEd546t5f6NUnUanBAWWuzgR3GmP6BVWcBa4F3gEmBdZOABYGv3wEuN8YkGWN6A32BpQ3dvoj8aG+ph+mf/cD//GcXaSkJPHVuL649uaf6NUlUC/ZzUDcB84wxicB3wDX4Q88aYyYD24HLAKy1a4wxFn+IeYAbrbXeILcvEtMcx2Hhd/v484rdVHodJg3pyAS1xJBmIqiAstauAobX8tBZdYx/FHg0mG2KiN/uokqeWZrNqkBLjGmj0umamhjuskQajWaSEIkyP7bE2A241BJDmi0FlEgU2VlYzjOLs1mbW8rQ9JZMVUsMacYUUCJRwOtz+Nu6vbz2TR6Jbhe3nJzOT3qnanJXadYUUCIRbmt+GTMCLTFODrTEaKeWGBID9K9cJEId0hLj9AxO7ZEa7rJEQkYBJRKBNuSVMmNxFjv2VTCmdyqTh6klhsQeBZRIBCn3+Hjl61z+vj6f9ilqiSGxTQElEiG+yS7mmSXZZBdVck7ftkwa2pGUKJrcVaSxKaBEwqy4wstLK9USQ+RgCiiRMFr2QxGzlmSTX+Zh4nHt+dkJaSS5NX+eCCigRMKisMzD88t38+9AS4y7R/ekn2YdF6lBASUSQo7j8Pn2/cz9KoeiCi+XD+rApQPTSIjXB25FDqaAEgmRvaUe5izNZsnOIo5tn8xDZ3WnV7vkcJclErEUUCJN7JCWGEM7MiFTLTFEjkQBJdKEcooqmLUkm1XZJWqJIXKUFFAiTcDnOLy3MZ+XV+UCLq4/qTPn9FVLDJGjoYASaWQ7C8uZuTibdWqJIRIUBZRII/H6HP66bi+vf5NHklpiiARNASXSCPwtMbLYsrdcLTFEGol+gkSCUL0lRuukeO46PYNT1BJDpFEooEQaqHpLjJ8EWmK0VksMkUajgBI5SmUeH/MCLTE6pLj5/ZhuDFNLDJFGp4ASOQrVW2Kc27ctV6slhkiTUUCJ1EP1lhjprRN4dGwPju+cEu6yRJo1BZTIEXy1s4jZS9USQyTUFFAidSgs8zDzgw18tCGXnm2SuHt0V7XEEAkhBZTIQRzH4T/f7+e5ZTkUV/rUEkMkTBRQItXsKank2a9yWLKziL4dkvndOcfRhtJwlyUSkxRQIlRribF8N5U+h18M7chFme3pnNaSvDwFlEg4KKAk5lVviTGwUwumjUwn46CWGM6W9TgbVuPqPwhXn8wwVSoSWxRQErMObolxw0mdObuWlhjOlvX4nrwPPB4ct5u42x9RSImEgAJKYlL1lhgnprdk6sgudGxZe0sMZ8Nq8HjA8YHX4z+SUkCJNDkFlMQUj8/hb2v38vrq+rfEcPUfhON2g9cD8W5c/QeFsGKR2KWAkpjx3V5/S4zv8ss5uXtrrj+pc71aYrj6ZBJ3+yO6BiUSYkEHlDEmHlgG/GCtvcAY0x54A+gFbAOMtTY/MPYeYDLgBW621n4Y7PZFjqTS6+ON1Xt4e23DW2K4+mQqmERCrDHma7kFWFdt+W5gobW2L7AwsIwxZgBwOTAQOAeYFQg3kSazIa+UX7+3jTfX7OGM3qnMvOAY9WsSiRJBBZQxphtwPvB8tdUTgJcCX78ETKy2/nVrbbm1diuwGRgRzPZF6lLm8fH88hzu+vB7yjw+7v9JN245OUP9mkSiSLCn+P4A3Am0rraus7U2C8Bam2WM6RRY3xVYXG3czsC6QxhjpgBTAq9BWlpaUEW63e6gXyNcorl2CE/9y3cUMH3hZnbtK+PiE9K54dSetExs2D/1aN7/0Vw7qP5wipTaGxxQxpgLgN3W2uXGmDH1eEptt0k5tQ201s4F5h4Yk5eX17AiA9LS0gj2NcIlmmuH0NZfXOHlxZW7+efmfaS3TuCxsT0Y2DmF0sKCBk9WFM37P5prB9UfTk1de0ZGRr3GBXMEdSpwkTHmPCAZSDXGvALkGGPSA0dP6cDuwPidQPdqz+8G7Api+yJVqrfE+Olx7blCLTFEol6DA8paew9wD0DgCOo31torjTH/C0wCpgf+XhB4yjvAq8aYp4AMoC+wtOGli/hbYjy3fDefbiukZ9sk7jmjK307qCWGSHPQFJ+Dmg5YY8xkYDtwGYC1do0xxgJrAQ9wo7XW2wTblxjgOA6fBVpilFR6uWJQGpcM7KCWGCLNiMtxar0MFEmcXbuCOxOoc8Hh0xT17ympZM5XOSwNtMS4aVQ6PdsmNeo2Dojm/R/NtYPqD6cQXYM64v8mNZOERA3Hcfh4yz5eWOFviXHNiR25sH974uN01CTSHCmgJCrkFFXwzJJsvs4u4fhOLZg2Kp301olHfqKIRC0FlEQ0n+Pwjw3+lhhxrrpbYohI86OAkoi1c185MxZnsz6vlGEZLfnViLpbYohI86OAkohTvSVGstvFr09OZ8wRWmKISPOjgJKIUr0lxik9WnP98M60rUdLDBFpfvSTLxGhwuvDVmuJcffpXTm5R+sjP1FEmi0FlITd+txSZizOYmdhBWce04ZfnthJs46LiAJKwqfM4+OVVbm8uyGftBQ39/+kGydmtAp3WSISIRRQEhZfZxfzzJJscooqOa9fW64a0pGUBB01iciPFFASUsUVXl5YsZuPtuwjo3UCj43rwcBOKeEuS0QikAJKQmbpzv3MXppDQZmHiwe05/LPsLMsAAAP00lEQVRBaokhInVTQEmT21fm4fllu/n0e39LjHvVEkNE6kEBJU3GcRw+3pDLk//a6m+JcUIalwxQSwwRqR8FlDSJQ1ti9Giylhgi0jwpoKRROY7DR1v28WKgJca003txZrcktcQQkaOmgJJGk1NUwcwl2XxTrSXGoN4ZUdu0TUTCSwElQfP6HN7b+GNLjF+N6Mz4Y9USQ0SCo4CSoOwItMTYoJYYItLIFFDSIB6fw1/X7uH11Xto4XZx6ynpnNFLLTFEpPEooOSofbe3jD8uzmJrfjmn9mjNFLXEEJEmoN8qUm8VXh9vBFpitEmK5+7RXTm5u1piiEjTUEBJvazLLWHm4uyqlhiTT+xEK7XEEJEmpICSwyrz+Hh5VS7/UEsMEQkxBZTUaVWWvyXG7mK1xBCR0FNAySGKAi0xPlZLDBEJIwWU1LBk537mqCWGiEQABZQA/pYYzy3L4bPv99OrbRK/PaMbx3ZIDndZIhLDFFAxznEcPvt+P88ty6Gk0svPTkjjYrXEEJEIoICKYXtKKpm9NIevfiiiX6AlRg+1xBCRCKGAikEHWmK8sGI3Hp/DL0/sxAX926klhohEFAVUjMneX8EzSwMtMTqnMG1kF9JbJ4a7LBGRQyigYsTBLTGmjujCuGPbqCWGiEQsBVQMUEsMEYlGDQ4oY0x34C9AF8AHzLXWPm2MaQ+8AfQCtgHGWpsfeM49wGTAC9xsrf0wqOrlsDw+h7fX7uGN1XtokRCnlhgiElWC+QSmB7jdWnscMAq40RgzALgbWGit7QssDCwTeOxyYCBwDjDLGKN5c5rId3vL+M0H25j3dR4ju7Vi5gW9GdO7jcJJRKJGg4+grLVZQFbg6/3GmHVAV2ACMCYw7CVgEXBXYP3r1tpyYKsxZjMwAviyoTXIoQ5uiXHP6K6MUksMEYlCjXINyhjTCxgKLAE6B8ILa22WMaZTYFhXYHG1p+0MrKvt9aYAUwKvQVpaWlD1ud3uoF8jXI6m9m92FfL4x5vYnl/K+QM6Me30Y0hNDu9lxmje9xDd9Udz7aD6wylSag/6t5cxphUwH/i1tbbQGFPX0NrOLTm1DbTWzgXmHhiTl5cXVI1paWkE+xrhUp/aSyt9vPK1vyVGx5ZuHjizO0PTW1JRVEBeUYgKrUM073uI7vqjuXZQ/eHU1LVnZGTUa1xQs4AaYxLwh9M8a+3bgdU5xpj0wOPpwO7A+p1A92pP7wbsCmb74m+JcfM/tvLuhnzO69eWP55/DEPTW4a7LBGRoAVzF58L+BOwzlr7VLWH3gEmAdMDfy+otv5VY8xTQAbQF1ja0O3HupotMRJ5fFwPBhyhJYazZT3OhtW4+g/C1SczRJWKiDRMMKf4TgWuAlYbY1YF1t2LP5isMWYysB24DMBau8YYY4G1+O8AvNFa6w1i+zFryY79zP7yB/ZVOlyc4eLy03sdsSWGs2U9vifvA48Hx+0m7vZHFFIiEtGCuYvvP9R+XQngrDqe8yjwaEO3Geu+zSnhtx9vB6BncRb3rn+LPp/nENfjEThC2DgbVoPHA44PvB7/kZQCSkQimGaSiAKO4zDx1Q1Vy+eVbGDSspdIcDwQF1evsHH1H4TjdoPXA/FuXP0HNXXZIiJBUUBFmIOvEy3anMdv//FjOP3X9oX819Z/guOAy1XvsHH1ySTu9kd0DUpEooYCKoJUv07kcSdw2akP13j8jbbfkvDvj34Mp+MGE3fRz+odNq4+mQomEYkaCqgIcuA60ey+E/koY1TV+htO6sy5/drhbAHfP348TXc04SQiEm0UUBGksu8gzBnTa6z79KZTyd+7p2rZdcqZOA7EnXKmwklEmjUFVIR4Y3Uer37z4/LEdLjmzMyqLrfOlvX4/vde8HohPh5OOTNMlYqIhIYCKsyKK7z87M1NNdb97Wf9D5l13PfFJ/5TewBeD74vPiFeR1Ai0owpoMJoztJs3t9UULX88FndOaFL7dMUuVw1Jy5U1wwRae4UUGFQ7vFxud2IL5A4LRPjePWyfod9juvkM3E+X+j/sK3bjetkneITkeZNARVia3eXMGNxdlU4PXVuL/q0Tz7i81x9Mon7zaP6HJOIxAwFVIiUVvp4edVu3ttYQMeWbh48sztDDpp1/EiTuepzTCISSxRQIbAyq5hZS7LILfZwXv92XDW4I8nbN+J778cwqjGZa1wcrtPG+k/jpZ0W7vJFRMJCAXUUjrZdxXd7y7j1/W0AdE2Gx8f14LhOKbXOLF5zMlcfzr8/wPniEyoemgFp6U38zkREIo8Cqp6Otl3FhHnrayw/+ckDJA95ADpl1j6z+IHJXD2V/qmMALweKteshDMUUCISe4LqqBtLagsVCATXe2/ibPEH0rNfZdcIp64lu3l70Z0kesqqnuPqPwjcboiLq5rs9cBkrpx+NrgTqh5LGDg09G9WRCQC6AiqnmprV1H9qMrndnPJqY/UeM4LJ0KbGX+sEURQ98zirj6ZxPfJxDnlzKrHEjMHQV5eyN+viEi4KaDqqbZQ8b33Jng83Dd4CmvbHlNj/IKf+0PHqaPFxeHuyNPdeiIiCqijcnBwePoO4rKDJnf9y+cP0opKnFGPVI1X2IiIHD0FVANdYTdSUllz3dv/vtt/jcrl0lx5IiJBUkAdQfVbywH2rVvLpH0Daox5cwS4l3yCc2DCPMeBLxbiqCWGiEiDKaAOo8at5fHxXHzao8CP4TSocwoP9y7B9+R9OB4PVJ/A1ef1B5sCSkSkQXSb+WEcuLV8b0LLQDj96O22q3lkbI+at587DsTFV921R6vUGregi4hI/ekI6jBc/QdxxWkPUhafVLXumi1/58LsJf7PLFHL7eeXXwdFhdAqFef15+r9wV4REalJAVWHHwormLoYqBZObycvwTW8F67+F1bNn+dsWA1nXQjbt+Aadipxo88GqLoFvcZsEQooEZF6U0DV4uBpih5eOZuB+7b6F6668aDJXQ9MTeTC2bQWp2tP/63ltXywV0RE6k8BVc2/t+7jqS+yaqx7e9V/w749VcvO8s9h9NnVrj0d6HPr1DhSqmu2CBERqR8FVMDBR013ffsSI/PWHDqwRx+AQyd3dbkOOVLSh3RFRBou5gNqy94ybgu0xDjg7UV31j7Y5cLVIsX/ZbUjJFqlQlGhjpRERBpRTAfUz+xGiit9Vcszl/wPGaV1TMzqcoE7QUdIIiIhEpMBdf8nO1iVVVy1fO4Pn3PdpgW1D46Ph3ETcbVI0RGSiEgINfuA8n36Ifmrv8I36CQ4fTw/fXVDjcdf+eIBUipKan9yXByun91Qdeu4iIiETrMOKN+nH+K8/AwVwMVtL4WDwqnOa03VFRU2TXEiInJYzTqgnM/+SXlcAleMrjlN0Z8/f5C2lcV1PCuglrvyREQkdJp1QBUkpfLLg8LpsEdNcYGpCePi4ZSziNNs5CIiYRPygDLGnAM8DcQDz1trpx/hKQ3WskVi1devf3oviT5P3YPPuYS4ISP1wVoRkQgR0oAyxsQDzwDjgJ3AV8aYd6y1a5tiewnF+5i/6s4aXTBq47rqxqobIRRMIiKRIdRHUCOAzdba7wCMMa8DE4AmCSg8lYcPp1atiZv2O4WSiEgECnVAdQV2VFveCYw8eJAxZgowBcBaS1paWoM2VnL2T9k/539qfSxp9Hja3vpAg143lNxud4PffyRQ/eETzbWD6g+nSKk91AFV2wGNc/AKa+1cYO6Bx/Py6pjd4UiGnYbrqmISVn9F5aCTcHXtWXWNydMnkwa/bgilpaVFRZ11Uf3hE821g+oPp6auPSMjo17jQh1QO4Hu1Za7AbuacoNxo8+m3cU/r9rZOp0nIhIdQh1QXwF9jTG9gR+Ay4GfhbgGERGJAnGh3Ji11gNMAz4E1vlX2Vp6WoiISKwL+eegrLXvAe+FersiIhJdQnoEJSIiUl8KKBERiUgKKBERiUgKKBERiUguxznkc7KRJuILFBGRo3akaVKj4gjKFewfY8zyxnidcPyJ5tpVv2pX/eGvI4JrP6JoCCgREYlBCigREYlIsRJQc488JGJFc+2g+sMpmmsH1R9OEVF7NNwkISIiMShWjqBERCTKKKBERCQihXyy2FAyxpwDPA3EA89ba6eHuaQjMsZsA/YDXsBjrR1ujGkPvAH0ArYBxlqbH64aqzPG/Bm4ANhtrT0+sK7Oeo0x9wCT8b+/m621H4ahbAK11Fb7A8B1QG5g2L2BCY4jrfbuwF+ALoAPmGutfTqK9n1d9T9AdOz/ZOBTIAn/79G3rLX3R8P+P0ztDxBh+77ZHkEZY+KBZ4BzgQHAFcaYAeGtqt5+Yq0dYq0dHli+G1hore0LLAwsR4oXgXMOWldrvYH9fzkwMPCcWYHvU7i8yKG1A/xfYP8PqfYDGmm1e4DbrbXHAaOAGwM1Rsu+r6t+iI79Xw6caa0dDAwBzjHGjCI69n9dtUOE7ftmG1DACGCztfY7a20F8DowIcw1NdQE4KXA1y8BE8NYSw3W2k+BvQetrqveCcDr1tpya+1WYDP+71NY1FF7XSKt9ixr7YrA1/vx91frSvTs+7rqr0uk1e9Ya4sCiwmBPw5RsP8PU3tdwlZ7cw6orsCOass7OfwPQKRwgH8aY5YbY6YE1nW21maB/wcb6BS26uqnrnqj5XsyzRjzjTHmz8aYdoF1EVu7MaYXMBRYQhTu+4PqhyjZ/8aYeGPMKmA38JG1Nmr2fx21Q4Tt++YcULVNpREN99Sfaq09Ef+pyRuNMaPDXVAjiobvyWygD/5TH1nAk4H1EVm7MaYVMB/4tbW28DBDo6X+qNn/1lqvtXYI0A0YYYw5/jDDI6r+OmqPuH3fnANqJ9C92nI3YFeYaqk3a+2uwN+7gb/iP5TOMcakAwT+3h2+Cuulrnoj/ntirc0J/PD6gOf48VRGxNVujEnA/8t9nrX27cDqqNn3tdUfTfv/AGttAbAI//WZqNn/ULP2SNz3zTmgvgL6GmN6G2MS8V/keyfMNR2WMaalMab1ga+B8cC3+OueFBg2CVgQngrrra563wEuN8YkGWN6A32BpWGor04HfrkE/BT//ocIq90Y4wL+BKyz1j5V7aGo2Pd11R9F+7+jMaZt4OsWwFhgPVGw/+uqPRL3fbOeScIYcx7wB/y3mf/ZWvtomEs6LGPMMfiPmsB/++er1tpHjTEdAAv0ALYDl1lr63txv0kZY14DxgBpQA5wP/A36qjXGPNb4Jf47+L6tbX2/TCUTaCW2mofg/8Uh4P/NuHrD1xTiLDaTwM+A1bjv00b4F7813GiYd/XVf8VRMf+PwH/TRDx+P+jb621Dx3uZzVS6j9M7S8TYfu+WQeUiIhEr+Z8ik9ERKKYAkpERCKSAkpERCKSAkpERCKSAkpERCKSAkpERCKSAkpERCLS/wNnAKSIyRmezwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "plt.plot(x_19, y_19, '.')\n", "plt.plot(x_19, alpha_m + beta_m * x_19, label=\"Gaussian\")\n", "\n", "plt.legend(loc=2, fontsize=12)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "164981834.87753886" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" } ], "source": [ "jw3_opening = df_movies_2019_closed.loc[10, 'opening']\n", "\n", "alpha_m + beta_m * jw3_opening" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "171015687.0" ] }, "execution_count": 100, "metadata": {}, "output_type": "execute_result" } ], "source": [ "jw3_total = df_movies_2019_closed.loc[10, 'gross']\n", "jw3_total" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 4 }