{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Kernel Density Estimation\n", "\n", "Kernel density estimation is the process of estimating an unknown probability density function using a *kernel function* $K(u)$. While a histogram counts the number of data points in somewhat arbitrary regions, a kernel density estimate is a function defined as the sum of a kernel function on every data point. The kernel function typically exhibits the following properties:\n", "\n", "1. Symmetry such that $K(u) = K(-u)$.\n", "2. Normalization such that $\\int_{-\\infty}^{\\infty} K(u) \\ du = 1$ .\n", "3. Monotonically decreasing such that $K'(u) < 0$ when $u > 0$.\n", "4. Expected value equal to zero such that $\\mathrm{E}[K] = 0$.\n", "\n", "For more information about kernel density estimation, see for instance [Wikipedia - Kernel density estimation](https://en.wikipedia.org/wiki/Kernel_density_estimation).\n", "\n", "A univariate kernel density estimator is implemented in `sm.nonparametric.KDEUnivariate`.\n", "In this example we will show the following:\n", "\n", "* Basic usage, how to fit the estimator.\n", "* The effect of varying the bandwidth of the kernel using the `bw` argument.\n", "* The various kernel functions available using the `kernel` argument." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:48.422719Z", "iopub.status.busy": "2026-07-15T16:58:48.422438Z", "iopub.status.idle": "2026-07-15T16:58:51.257012Z", "shell.execute_reply": "2026-07-15T16:58:51.255920Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy import stats\n", "\n", "import statsmodels.api as sm\n", "from statsmodels.distributions.mixture_rvs import mixture_rvs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A univariate example" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:51.259974Z", "iopub.status.busy": "2026-07-15T16:58:51.259540Z", "iopub.status.idle": "2026-07-15T16:58:51.264899Z", "shell.execute_reply": "2026-07-15T16:58:51.263524Z" } }, "outputs": [], "source": [ "np.random.seed(12345) # Seed the random number generator for reproducible results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create a bimodal distribution: a mixture of two normal distributions with locations at `-1` and `1`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:51.270262Z", "iopub.status.busy": "2026-07-15T16:58:51.270012Z", "iopub.status.idle": "2026-07-15T16:58:51.279771Z", "shell.execute_reply": "2026-07-15T16:58:51.278356Z" } }, "outputs": [], "source": [ "# Location, scale and weight for the two distributions\n", "dist1_loc, dist1_scale, weight1 = -1, 0.5, 0.25\n", "dist2_loc, dist2_scale, weight2 = 1, 0.5, 0.75\n", "\n", "# Sample from a mixture of distributions\n", "obs_dist = mixture_rvs(\n", " prob=[weight1, weight2],\n", " size=250,\n", " dist=[stats.norm, stats.norm],\n", " kwargs=(\n", " dict(loc=dist1_loc, scale=dist1_scale),\n", " dict(loc=dist2_loc, scale=dist2_scale),\n", " ),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplest non-parametric technique for density estimation is the histogram." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:51.282557Z", "iopub.status.busy": "2026-07-15T16:58:51.282310Z", "iopub.status.idle": "2026-07-15T16:58:51.568926Z", "shell.execute_reply": "2026-07-15T16:58:51.564686Z" } }, "outputs": [ { "data": { "image/png": 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66aekp6dz0003cc899/DSSy/xxBNP0NDQwPnnnw+Q6NH+8MMP+a//+i8qKioYNGgQ9913H1OmTGn1Pq+++iq//e1vCYVCTJo0ieHDh/PWW2/x6quvAvDEE0+wbt06rr32Wv785z9TW1vL2rVree2113jggQcASE9PZ/To0TzwwAOUlpYmjt38uxMnTuTNN9/k2LFjzJw5kwceeIA///nPPP/880QiEW6//XbuvffeHj2fSqJFREREzgARTy0YDNxxxx2pDuWkOjtsVUS65vjh3HfeeSfRaJSf/exnRKNRXn31Vf7yl79w8803M3fu3FbDuQcOHMiqVauYNm0aP/jBD/je977HokWLmDp1Kh9++CGTJk0C4L333uNLX/oSP/7xj7nyyit5+eWXuffeexkxYkTifY8dO8azzz7L4cOHeeCBB0hLSwPgyiuvTCT4brebZ555hkmTJrFr1y4yMzMTv7tgwQLq6ur43ve+x+HDh7nrrrt4+eWXGT16ND/96U8pLy/nrrvuYtCgQcyePbvHzqeSaBEREZEzQDTggVis14afnqpTGbYqIu0LBoOJHuPO+Oyzz/jzn//MlVdeCcDVV19NKBTCYrFQWFiIw+FoddyHH36YW265hR//+McATJ48mR07dvDwww/z7rvvAvEe6zvuuIMf/vCHiX3WrVtHVVVVq/e22+28+OKLpKen43a7AcjOziY7Ozuxz+TJk/nwww959dVX+cpXvpLYnpWVxXPPPYfdbgfgjTfeYNmyZSxYsACLxcLll1/Oiy++yKJFi5REi4iIiEhyzpThpyJychaLpc2M25FIhHHjxp3w92bOnMm//Mu/sGfPHq655hrGjh2LxWLpcP9169bxH//xH622TZs2jX/7t39L/Lxhwwa++tWvttrnqquu4sUXX2y17dxzzyUzM5NoNJrYFgwG+Z//+R8WLVrE0aNHCYfDVFRUsG/fvja/25xAAxQXFzNq1KhWsRcXF1NZWXnCv7+rlESLiIiIiIichgwGQ5ue6HA4fNLf++tf/8qLL77IW2+9xS9/+UscDgcLFy7kkksuaXf/xsZGHA5Hq21Op5PGxsbEzz6fr80+x//c/HvHu//++1myZAmPPPIIpaWlOJ1OvvrVr+L3+1vtZza3TV/b2xaLxdr9O7qLkmgREREREZGziNFoZO7cucydO5dIJMK8efP4wQ9+wLJlyzCZTG2S0GHDhrWZCXzLli0MG/b5qJfS0tI2ExsmO9HhG2+8wY9//GNuu+02IN6bfujQoVP503qFMdUBiIiIiIiISO+IRCJ897vfxeVyJbaFw2HS09OB+HDogwcPturRvueee3jqqafYtm0bAFu3buWpp57innvuSezz9a9/nSeffDKxPNaaNWv429/+llRMBQUFrFy5klgsRiwW46GHHuLo0aNd/lt7inqiRURERERE2hGqPnBGvQ+AyWSiqKiI0aNH43A4cLvdDB06NPFs9Re+8AV+8YtfMGDAAAoKCvj3f/937rnnHsrKypgwYQKFhYVUVlbyzW9+k29961uJ437729/ms88+49xzz6V///4YDAZmzZrFrl27ThrTf/3Xf3Hrrbfy2muvEQgEGDNmDGPHju2xc9BVSqJFRERERERayM/Px+5wUv3mr3rtPe0OJ/n5+UnvP3fu3DbrNEP8GeHNmzczcODAxLZvfOMbzJkzJ/Hzd77zHe6//34qKipIS0tr9b45OTls2bKFw4cPU19fz4ABAzCZTPz2t7/lscce4/Dhw/Tv35+MjIxW72u1Wnn++eeprKwkFAoxYMAA/t//+3+tnpv+p3/6J+666642MV9++eUcPHiQ8vJyMjIyKCwsZP/+/a2eqW7vd7/zne8QCARabfvRj35EJBI52enrEiXRIiIiIiIiLQwaNIgd28taDXnuafn5+Z1a9i0nJ4ecnJx2Xzt+srH8/Pw2CbrBYGDw4MHt/r7RaGTgwIGtEnGAjIwMRo4c2e7v1NfX88orr/CVr3wFo9HIp59+yv/93//x61//OrFPYWFhh3+P2Wxm6NChiZ/POeecVq+397vFxcVttvXv37/D9+guSqJFRERERESOM2jQIK1l3glpaWmsXLmS+++/n7S0NFwuF/fffz9f+9rXUh1at1MSLSIiIiIiIl1iNpv53//9X37zm99w7NgxSkpKMJlMqQ6rRyiJFhERERERkW7hcDjaDMU+02iJKxEREREREZEkdbonurGxkVWrVuFyuRgxYgQTJkxo9fqGDRtYs2ZNq202m40777yza5GKiIiIiIj0kFgsluoQpBd0x+fcqST6hRde4IEHHmD48OFkZmaybNkyxowZw+uvv55YnPvNN9/kN7/5DTfeeGPi95xOp5JoERERERHpcywWCwBer7fVkkpyZvJ6vcDnn/up6FQSnZ+fz/r16xNrglVWVlJaWspf/vIXvv3tbyf2Ky0t5Y9//OMpByUiIiIiItIbTCYT2dnZVFZWAvEOQIPBkOKoznzRaJRgMIjf78do7PmnjGOxGF6vl8rKSrKzs7s06Vmnkuhrr7221c+5ubmkpaURDAZbbW9oaOCFF17AbrczYcIESkpKTjlAERERERGRntS83nBzIi09LxaL4fP5cDgcvdpokZ2d3e760p3R6Weia2trefnll2lsbOS1115jwoQJfPOb32y1T1VVFX/729+oq6vjo48+4vvf/z4//vGPOzxmIBAgEAgkfna73QCEQiFCoVBnQ5RT1Hyudc6lt6nsSSqp/MmJRKNRHA4HdrMBq6n7n5e0GWOt/u2KsMXUo7F2F4PZgMPhIBqN6nuXYqr/WsvPzycnJ4dwOKzno3tBOBxm5cqVTJ48GbO55xeNMhgMmM1mTCYT4XC43X2S/S4YYp0sIYcPH+ZHP/oRdXV1rFq1itmzZ/PrX/868fzAmjVrGDVqFE6nE4C3336b2bNn88YbbzBr1qx2j/nII4/w6KOPttm+cOHCxHFEREREREREeorX62XevHnU19eTmZnZ4X6dTqJbcrlcjBs3ji9/+cv87Gc/63C/CRMmMHnyZH7729+2+3p7PdElJSW4XK4TBi/dKxQKsWTJEqZNm9alB+1FOktlT1JJ5U9OZOPGjUyZMoWieY9jLSrt9uPbjDF+clGUh9YYCUS7NpyxsWwFNYuf6LFYu0vw2F6OLfwBy5cvZ+zYsakO56ym+k9SqS+WP7fbTX5+/kmT6C71m+fn53PVVVexatWqE+7ncDioqanp8HWbzYbNZmuz3WKx9JkTejbReZdUUdmTVFL5k/YYjUZ8Ph/+cIxYpOee2QtEDQS6eHx/KNIrsXZVIBx/DtJoNOo710eo/pNU6kvlL9k4OjUN2v79+1v9HAwGWbt2LaWlpR3us3v3btatW8ekSZM681YiIiIiIiIifU6neqLnz5/P8OHDGTt2LD6fj5deegmv18uDDz6Y2OfLX/4y55xzDuPHj8flcvHUU08xefLkNpOPiYiIiIiIiJxuOtUTvXz5cmbNmsWhQ4doaGjgvvvuY+fOnQwZMiSxz/vvv88NN9zAoUOHMJlM/OUvf+G9997Dbrd3e/AiIiIiIiIivalTPdEmk4k5c+YwZ86cLu0jIiIiIiIicjrqVE+0iIiIiIiIyNlMSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCRJSbSIiIiIiIhIkpREi4iIiIiIiCTJ3NlfaGxsZNWqVbhcLkaMGMGECRPa7BONRvnoo48oLy9n+PDhTJw4sVuCFREREREREUmlTiXRL7zwAg888ADDhw8nMzOTZcuWMWbMGF5//XXS09MB8Pl8zJo1i507d3LppZeyfPlyrrzySl544QVMJlOP/BEiIiIiIiIivaFTSXR+fj7r168nIyMDgMrKSkpLS/nLX/7Ct7/9bQB+8YtfsH37djZu3EhBQQF79uxh7Nix/PnPf+ab3/xm9/8FIiIiIiIiIr2kU89EX3vttYkEGiA3N5e0tDSCwWBi23PPPcfcuXMpKCgAYOjQoVx//fU899xz3RSyiIiIiIiISGp0+pno2tpaXn75ZRobG3nttdeYMGFCooc5FAqxc+dO7rvvvla/M3r0aH73u991eMxAIEAgEEj87Ha7E8cLhUKdDVFOUfO51jmX3qayJ6mk8icnEo1GcTgc2M0GrKZYtx/fZoy1+rcrwhZTj8baXQxmAw6Hg2g0qu9diqn+k1Tqi+Uv2Vg6nUT7fD4++eQT6urq2LFjB7Nnz8ZisQDg8XiIRqPk5OS0+p3c3NxEYtyexx57jEcffbTN9nfffRen09nZEKWLlixZkuoQ5CylsieppPInHfl8NF2kx97jJxdFu36QSybDVyY3/dBzsXbdYLjhOQ4dOsShQ4dSHYyg+k9Sqy+VP6/Xm9R+nU6i+/fvzx//+EcAXC4X48aNIy8vj5/97Gc4HA4AGhoaWv1OQ0ND4rX2/PCHP2zVe+12uykpKWH69OlkZmZ2NkQ5RaFQiCVLljBt2rREw4hIb1DZk1RS+ZMT2bhxI1OmTKFo3uNYi0q7/fg2Y4yfXBTloTVGAlFDl47VWLaCmsVP9Fis3SV4bC/HFv6A5cuXM3bs2FSHc1ZT/Sep1BfL34k6flvqdBLdUn5+PldddRWrVq0CwG63M2DAAPbv399qv3379jFs2LAOj2Oz2bDZbG22WyyWPnNCzyY675IqKnuSSip/0h6j0YjP58MfjhGLdC3JPZFA1ECgi8f3hyK9EmtXBcIxfD4fRqNR37k+QvWfpFJfKn/JxtGpicWOT46DwSBr166ltPTz1s4bbriBl19+OTGe3OPx8MYbb3DDDTd05q1ERERERERE+pxO9UTPnz+f4cOHM3bsWHw+Hy+99BJer5cHH3wwsc9DDz3EJZdcwsyZM7nuuut46aWXyMnJ4Z//+Z+7PXgRERERERGR3tSpnujly5cza9YsDh06RENDA/fddx87d+5kyJAhiX369+/P+vXrmTZtGvv37+f222/n008/JSsrq9uDFxEREREREelNneqJNplMzJkzhzlz5pxwv4KCAr7//e93KTARERERERGRvqZTPdEiIiIiIiIiZzMl0SIiIiIiIiJJUhItIiIiIiIikiQl0SIiIiIiIiJJUhItIiIiIiIikiQl0SIiIiIiIiJJUhItIiIiIiIikiQl0SIiIiIiIiJJUhItIiIiIiIikiQl0SIiIiIiIiJJUhItIiIiIiIikiRzqgMQERGR7lVRUYHL5Up1GCcVCASw2WypDuOEysrKUh2CiIj0MUqiRUREziAVFRWMPPc8/D5vqkM5OYMRYtFURyEiItIpSqJFRETOIC6XC7/PS97s+7HklaQ6nA759q6hfsWC0yZOERGRZkqiRUREzkCWvBJsxcNSHUaHQtUHgNMnThERkWaaWExEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJJk7uwv1NTUsHr1akKhEOPGjaOkpKTV65s2bWLdunWttlmtVubNm9e1SEVERERERERSrFNJ9Pe//30WLlzI6NGjMZlMvP/++3zve9/jkUceSezz+uuv89///d/MmjUrsc3pdCqJFhERERERkdNep5Lo888/n127dmG32wF45513mDFjBtOnT2fy5MmJ/YYOHcrTTz/drYGKiIiIiIiIpFqnnom+8847Ewk0wHXXXYfVamXLli2t9vN4PLz88su89dZbHD58uHsiFREREREREUmxTj8T3dKyZcsIBoOMHTu21fYjR47wf//3f9TV1fHJJ5/wwAMP8KMf/ajD4wQCAQKBQOJnt9sNQCgUIhQKdSVE6YTmc61zLr1NZU9S6Uwrf9FoFIfDgd1swGqKpTqcDoUtJsUJ2IyxVv92xelyTg1mAw6Hg2g0esZ8705XZ1r9J6eXvlj+ko3FEIvFTqmWrays5NJLL+XCCy/kpZdeSmxfvXo1o0aNIj09HYg/I33TTTfx9ttvM3PmzHaP9cgjj/Doo4+22b5w4UKcTuephCciIiIiIiKSNK/Xy7x586ivryczM7PD/U4pia6pqeGaa64hMzOTRYsWkZaWdsL9x48fz2WXXcZvf/vbdl9vrye6pKQEl8t1wuCle4VCIZYsWcK0adOwWCypDkfOIip7kkpnWvnbuHEjU6ZMoWje41iLSlMdTocay1ZQs/iJsz5OmzHGTy6K8tAaI4GooUvHOl3OafDYXo4t/AHLly9vM5pReteZVv/J6aUvlj+3201+fv5Jk+hOD+eura1l6tSppKen8/bbb580gYb47NzV1dUdvm6z2bDZbG22WyyWPnNCzyY675IqKnuSSmdK+TMajfh8PvzhGLFI15KynuQPRRRnC4GogUAXj3+6nNNAOIbP58NoNJ4R37kzwZlS/8npqS+Vv2Tj6NTEYnV1dUydOhWn08miRYsSQ7ZbqqioaPXznj17WLduHRMnTuzMW4mIiIiIiIj0OZ3qiZ45cyY7d+7kscce4+WXX05sHzduHOPGjQNg3rx5jBgxgvHjx+NyuXjyySe59NJLufvuu7s1cBEREREREZHe1ul1okeOHMmaNWtabc/Ozk4k0R9++CF/+9vf+PTTT3E6nfzhD3/gpptuwmDou8OKRERERERERJLRqST6f//3f0+6j8lk4vbbb+f2228/5aBERERERERE+qJOPRMtIiIiIiIicjZTEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIkkyd/YXampqWL16NaFQiHHjxlFSUtJmn1gsxqpVqygvL2f48OFcdNFF3RKsiIiIiIiISCp1qif6+9//PmPHjuXXv/41Tz75JCNHjuSRRx5ptY/f72f69OnccsstPP/881x33XXMnTuXSCTSnXGLiIiIiIiI9LpO9USff/757Nq1C7vdDsA777zDjBkzmD59OpMnTwbgl7/8JVu2bGHDhg0UFRWxa9cuxo0bx9NPP81dd93V/X+BiIiIiIiISC/pVE/0nXfemUigAa677jqsVitbtmxJbFu4cCFz586lqKgIgOHDh3P99dezcOHCbgpZREREREREJDU6/Ux0S8uWLSMYDDJ27FgAQqEQO3bs4F//9V9b7Xf++efz+9//vsPjBAIBAoFA4me32504XigU6kqI0gnN51rnXHqbyp6k0plW/qLRKA6HA7vZgNUUS3U4HQpbTIoTsBljrf7titPlnBrMBhwOB2VlZUSj0VSHc0J5eXkMHDgw1WH0mDOt/pPTS18sf8nGYojFYqdUy1ZWVnLppZdy4YUX8tJLLwFQW1tLbm4uf/vb35gzZ05i3yeeeILvfve7+P3+do/1yCOP8Oijj7bZvnDhQpxO56mEJyIiIiIiIpI0r9fLvHnzqK+vJzMzs8P9TqknuqamhunTp1NSUsJf//rXxHaHwwFAY2Njq/0bGhoSr7Xnhz/8Iffdd1/iZ7fbTUlJCdOnTz9h8NK9QqEQS5YsYdq0aVgsllSHI2cRlT1JpTOt/G3cuJEpU6ZQNO9xrEWlqQ6nQ41lK6hZ/MRZH6fNGOMnF0V5aI2RQNTQpWOdbuc0d8a3seQOSHU4HQrVHKJm8RMsX748MeryTHOm1X9yeumL5a95RPTJdDqJrq2tZerUqaSnp/P222+TlpaWeM1ut9O/f3/279/f6nf279/P0KFDOzymzWbDZrO12W6xWPrMCT2b6LxLqqjsSSqdKeXPaDTi8/nwh2PEIl1LynqSPxRRnC0EogYCXTz+6XZOI5n9Med3fH+YapFwDJ/Ph9FoPCPqhhM5U+o/OT31pfKXbBydmlisrq6OqVOn4nQ6WbRoEenp6W32mT17Ni+//DLhcBiI90q/8cYbzJ49uzNvJSIiIiIiItLndKoneubMmezcuZPHHnuMl19+ObF93LhxjBs3DoCHHnqISy65hFmzZjFjxgxefPFFMjIy+Jd/+ZfujFtERERERESk13V6neiRI0eyZs2aVtuzs7MTSfTAgQNZv349f/zjH9m+fTs333wz3/zmN8nKyuq2oEVERERERERSoVNJ9P/+7/8mtV9RUREPPPDAKQUkIiIiIiIi0ld16ploERERERERkbOZkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmSkmgRERERERGRJCmJFhEREREREUmS+VR+aevWraxfv57LLruMIUOGtHpty5YtbNiwodU2q9XKl770pVMOUkRERERERKQv6FQSvXr1ar773e9SWVnJ9u3beeaZZ9ok0X//+9/57//+b6677rrEtrS0NCXRIiIiIiIictrrVBLd2NjIo48+ylVXXYXBYOhwv6FDh7JgwYIuByciIiIiIiLSl3Qqib766quT2q+xsZHXXnsNu93O2LFjKS4uPqXgRERERERERPqSU3om+mQOHjzIU089RV1dHWvXruVHP/oR//Zv/9bh/oFAgEAgkPjZ7XYDEAqFCIVCPRGitKP5XOucS29T2ZNUOtPKXzQaxeFwYDcbsJpiqQ6nQ2GLSXECNmOs1b9doXPavQxmAw6Hg2g0esbUD8c70+o/Ob30xfKXbCyGWCx2SrWXwWDgmWee4Y477mi1/ZNPPmH06NFkZGQA8Oqrr3LzzTezePHiVs9Jt/TII4/w6KOPttm+cOFCnE7nqYQnIiIiIiIikjSv18u8efOor68nMzOzw/26PYluz/jx47n88st54okn2n29vZ7okpISXC7XCYOX7hUKhViyZAnTpk3DYrGkOhw5i6jsSSqdaeVv48aNTJkyhaJ5j2MtKk11OB1qLFtBzeInzvo4bcYYP7koykNrjASiHc83kwyd0+4VPLaXYwt/wPLlyxk7dmyqw+kRZ1r9J6eXvlj+3G43+fn5J02ie2Q49/HS0tJwuVwdvm6z2bDZbG22WyyWPnNCzyY675IqKnuSSmdK+TMajfh8PvzhGLFI15KynuQPRRRnC4GogUAXj69z2r0C4Rg+nw+j0XhG1A0ncqbUf3J66kvlL9k4jN39xocOHWr18759+1i3bh2XXnppd7+ViIiIiIiISK/qVE/00aNHWbp0aeLnlStXAjBs2DAmTpwIwJw5czj//PMZP348LpeL3//+90yYMIG77767G8MWERERERER6X2d6omurq5m8eLFLF68mPnz5+N2u1m8eDFbt25N7LN8+XKuuOIKtm7dSkNDA0888QQrVqzQBGEiIiIiIiJy2utUT/To0aNZsGDBiQ9oNnPnnXdy5513dikwERERERERkb6m25+JFhERERERETlTKYkWERERERERSZKSaBEREREREZEkKYkWERERERERSZKSaBEREREREZEkKYkWERERERERSZKSaBEREREREZEkKYkWERERERERSZKSaBEREREREZEkKYkWERERERERSZKSaBEREREREZEkKYkWERERERERSZKSaBEREREREZEkKYkWERERERERSZKSaBEREREREZEkKYkWERERERERSZKSaBEREREREZEkKYkWERERERERSZKSaBEREREREZEkKYkWERERERERSZKSaBEREREREZEkmVMdgIj0rIqKClwuV6rDOKFoNJrqEERERNpVVlaW6hBOKj8/n0GDBqU6DJGzhpJokTNYRUUFI889D7/Pm+pQTsjhcPDcc89x8OBBhgwZkupwREREiHhqwWDgjjvuSHUoJ2V3ONmxvUyJtEgvURItcgZzuVz4fV7yZt+PJa8k1eF0yOQ+DEB1dbWSaBER6ROiAQ/EYn3+GhqqPkD1m7/C5XIpiRbpJUqiRc4ClrwSbMXDUh1GhwxmQ6pDEBERaVdfv4aKSO/TxGIiIiIiIiIiSVISLSIiIiIiIpIkJdEiIiIiIiIiSVISLSIiIiIiIpIkJdEiIiIiIiIiSdLs3CKnqKKiApfLleowTqisrCzVIYiIiIiInFGURIucgoqKCkaeex5+nzfVoYiIiIiISC9SEi1yClwuF36fl7zZ92PJK0l1OB3y7V1D/YoFqQ5DREREROSMoSRapAsseSXYioelOowOhaoPpDoEEREREZEziiYWExEREREREUnSKfVEb926lfXr13PZZZcxZMiQNq/HYjE+++wzysvLGT58OOPGjetqnCIiIiIiIiIp16me6NWrV3PllVdy6623cuedd/Lxxx+32cfv9zNz5kxuuOEGnn76aa655hrmz59PNBrttqBFREREREREUqFTSXRjYyOPPvroCZfN+c///E82bNjAhg0beOutt1i1ahV///vf+etf/9rlYEVERERERERSqVNJ9NVXX81VV111wn2effZZ5s6dS79+/QAYOXIkM2fO5Nlnnz3lIEVERERERET6gm6dnTsUCrF9+3b+5V/+pdX2MWPG8Pvf/77D3wsEAgQCgcTPbrc7cbxQKNSdIcoJNJ9rnfOTi0ajOBwO7GYDVlMs1eF0KGwxnRZxGswGAHbs2JHiSJKTl5fHwIEDUx3GSR08eJDq6upUh3FSqT6fydZ9p8v53LFjx2nxvT9d6qeejtNmjLX6tyt0TrvX6RKnwWzA4XAQjUY7fQ+nez9Jpb5Y/pKNxRCLxU6pVjAYDDzzzDPccccdiW21tbXk5uby4osvcuuttya2P/HEE3z3u9/F7/e3e6xHHnmERx99tM32hQsX4nQ6TyU8ERERERERkaR5vV7mzZtHfX09mZmZHe7XrT3RdrsdAI/H02p7Q0MDDoejw9/74Q9/yH333Zf42e12U1JSwvTp008YvHSvUCjEkiVLmDZtGhaLJdXh9GkbN25kypQpFM17HGtRaarD6VBj2QpqFj/R5+OM7F7Jr+Zdyv0LPyWSUZzqcE4oVHOImsVPsHz5csaOHZvqcDrUXEZzZ3wbS+6AVIfTob5wPpOp+06X8wng278e98oX+vz3/nSpn3o6Tpsxxk8uivLQGiOBqKFLx9I57V6nS5zBY3s5tvAHp1SP6t5PUqkvlr/mEdEn061JtMPhoF+/fpSXl7faXl5eTmlpx5WPzWbDZrO12W6xWPrMCT2b6LyfnNFoxOfz4Q/HiEW6dtPTk/yhyGkRZzgUASCSUUwsf2iKozmxSDiGz+fDaDT26e9JcxmNZPbH3IfPaV86nyeq+06X8wkQPlZxWnzvT5f6qbfiDEQNBLp4fJ3T7nW6xBnohnpU936SSn2p/CUbR6cmFkvGrFmzeOWVV4hE4jfFXq+X119/nVmzZnX3W4mIiIiIiIj0qk71RB89epSlS5cmfl65ciUAw4YNY+LEiQD86Ec/4uKLL+aGG25g5syZ/O1vfyMtLY1//dd/7cawRURERERERHpfp3qiq6urWbx4MYsXL2b+/Pm43W4WL17M1q1bE/uUlJSwfv16Lr30UjZs2MCsWbP47LPPyMnJ6fbgRURERERERHpTp3qiR48ezYIFC066X79+/Xj44YdPOSgRERERERGRvqjbn4kWEREREREROVMpiRYRERERERFJkpJoERERERERkSQpiRYRERERERFJkpJoERERERERkSQpiRYRERERERFJkpJoERERERERkSQpiRYRERERERFJkpJoERERERERkSQpiRYRERERERFJkpJoERERERERkSSZUx2AyPEqKipwuVypDuOEysrKUh2CiIiISMKp3JtEo1EANm7ciNHYO31r+fn5DBo0qFfeS6SnKImWPqWiooKR556H3+dNdSgiIiIifV7EUwsGA3fccUenf9fhcPDcc88xZcoUfD5fD0TXlt3hZMf2MiXSclpTEi19isvlwu/zkjf7fix5JakOp0O+vWuoX7Eg1WGIiIjIWS4a8EAsdkr3TnazAYCieY/jD8d6IrxWQtUHqH7zV7hcLiXRclpTEi19kiWvBFvxsFSH0aFQ9YFUhyAiIiKScCr3TlZTDIhgLSolFjH0TGAiZyBNLCYiIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIklSEi0iIiIiIiKSJCXRIiIiIiIiIknSElciIqegrKws1SGcUF+PT0REROR0pSRaRKQTIp5aMBi44447Uh2KiIiIiKSAkmgRkU6IBjwQi5E3+34seSWpDqdDvr1rqF+xINVhiIiIiJxxlESLiJwCS14JtuJhqQ6jQ6HqA6kOQUREROSMpInFRERERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSUqiRURERERERJKkJFpEREREREQkSebuPuC2bdvYtGlTq21Wq5Wbb765u99KREREREREpFd1exL9yiuv8Otf/5qpU6cmtqWlpSmJFhERERERkdNetyfRAMOGDeP555/viUOLiIiIiIiIpEyPJNFer5e33noLu93OBRdcQEFBQU+8jYiIiIiIiEiv6pEkury8nN/85jfU1dWxadMmHn30Ub73ve91uH8gECAQCCR+drvdAIRCIUKhUE+EKO1oPtepPOfRaBSHw4HdbMBqiqUsjpMJW0yKsxuZLSYAbGYDsT4cJ5w+5/R0idNgNuBwOIhGoymre5Kp+06XuglOn89eccbZjLFW/3aFzmn3Ohvi7M7yl4y+UOdL39EXco/jJRuLIRaLdeu3ZuXKlYwePZqsrCwAXnzxRb70pS/x7rvvMm3atHZ/55FHHuHRRx9ts33hwoU4nc7uDE9ERERERESkDa/Xy7x586ivryczM7PD/bo9iW7P2LFjufLKK/nNb37T7uvt9USXlJTgcrlOGLx0r1AoxJIlS5g2bRoWiyUlMWzcuJEpU6ZQNO9xrEWlKYkhGY1lK6hZ/ITi7CaR3Sv51bxL+f6iCmJ5Q1IdzgmdLuf0dIkzeGwvxxb+gOXLlzN27NiUxJBM3Xe61E1w+nz2ijPOZozxk4uiPLTGSCBq6NKxdE6719kQZ3eWv2T0hTpf+o6+kHscz+12k5+ff9IkukeGcx8vMzOTqqqqDl+32WzYbLY22y0WS585oWeTVJ53o9GIz+fDH44Ri/R8ZX6q/KGI4uxG4VAEgEAfjxNOn3N6usQZCMfw+XwYjcaU1/cnqvtOl7oJTp/PXnG2FogaCHTx+Dqn3etsirM7yl9S79OH6nzpO/pSzpdsHMbufuMjR460+rm8vJx169Zx8cUXd/dbiYiIiIiIiPSqbu+Jvvnmmxk/fjzjx4/H5XLxu9/9jgsuuIBvfetb3f1WIiIiIiIiIr2q23uiP/zwQy6++GLWrl1LVVUVv/zlL/n4449JS0vr7rcSERERERER6VXd3hNttVr52te+xte+9rXuPrSIiIiIiIhISnV7T7SIiIiIiIjImUpJtIiIiIiIiEiSlESLiIiIiIiIJElJtIiIiIiIiEiSlESLiIiIiIiIJElJtIiIiIiIiEiSlESLiIiIiIiIJElJtIiIiIiIiEiSlESLiIjIWcEWDpIe8Lb7WnrAiy0c7OWIJNVOWCZCAWy9HI+InB6URIuIiMgZzxYO8oWt7zNn8xIyAo2tXssINDJn8xK+sPV9JdJnkZOViXkHtnIHYIuEUhOgiPRZSqJFRETkjGeJhHGG/GT5Pdy6eWkiacoINHLr5qVk+T04Q34skXCKI5XecrIykR3ykwZYIpHUBioifY451QGIiIiUlZWl7L2j0SgAGzduxGhsv205lfFJ9/DYnLw0ZmoiYb5181IWj5jMjJ0ryfJ7qLen89KYqXhszlSHKr3kZGWi0mLnacBptWtYt4i0oiRaRERSJuKpBYOBO+64I2UxOBwOnnvuOaZMmYLP50tZHNLzGmxprZKmuZveBUgk0A22tBRHKL3tRGXiuZLRuLe9j5pVROR4SqJFRCRlogEPxGLkzb4fS15JSmKwmw0AFM17HH841u4+vr1rqF+xoDfDkh7SYEtj8YjJiWQJYPGIyUqgz2IdlokDW1IYlYj0ZUqiRUROkS0cxBIJtzv8Mz3gJWQyEzBbUxDZ6ceSV4KteFhK3ttqigERrEWlxCKGdvcJVR/o3aCkx2QEGpmxc2WrbTN2rlRP9FmsozJx1Gyj+hSPqeuDyJlNE4uJiJwCWySkmX5FTjMtJxGrt6fzwgXTqbent5lYSs4eJyoTtx/YSuYpHFMzwYuc+ZREi4icAkskQobfQ4Gntt1ZXQs8tWT4PZrpt5tpnV85VekBb6tk6fXzpiSeh22ZSKcHvCpLZ4njy8RLY6ZyJLMgUSayQ36+CqQH/Z06rmaCFznzKYkWETkFIZOJkNlCac0hCjw13Lp5Kf3cVU0JdA2lNYcImS2ETHpqpruod+f0ctIGj15OIEImM16LPZFAT929mjmblwAkkiavxY4tHOj2snSic5EW8GIMqsymQssy0XI4f3PjSp3FTiPx+r4zmmf9btk403x90EzwImcGJdEifYR62E4vlkgEYyzG3twBlNYcpsBTw9xN7zYl0IfZmzsAYyx2VvQ09FbZVe/O6eNkDR63bVjEHRWb2iwbZAsHKXK72i0zXS1LAbOVv4++mhfHTCNgtrUqSwAvjpnG0mGXcGPZ8m4tSyc7F7dsXMrADz/Eqjq+Qz1Vx7QsE8c/D99gS2NhyWgWAAGTpdPHPn6Uw9xN77ZKoPX8vcjpTUm0SB+gHrbTj8dq56UxU6lKz+FgViGjKveRHmhkVOU+DmYVUpWec1b0NPRm2VXvTt/TUXJjiYTJ8TWQ661v0+Axd8NiLj2wlStcB8g/7li3bVzMo0v/wG0bFrcqM91VlgJmKx6bs92ylBFoTCTQ3VmWTtb4k+n3YPb3XuPP6dZg29N1THOZaI/HYiNwSkeNa571u6VTmQm+r43qgNOvHIl0NyXRIn1Asj1saU3P6rVHF63e13yDNLC+Ens4yPnH9mIPBxlYX3nWLJnT273D6t3pGS1viI+/OW5Zt7T8/xMlNwZiQIzBtUcSiXRzg0eur4GI0cTu9BxuATKC8bW5c7z1TCrfTLa/gUkVm8nxuoHTvyydrPHHbU+n4ppraLQ5ezwxOR0bbPvqCJRkPquOZv3uzAR2yXxmcw5tazOqoyedjuVIpLvpYb0uqqiowOVypTqMkwoEAthsJ65io9EoABs3bsRoTE37SllZWUreN9Wab7Kabwhu3byUxSMmM2PnylaT4Ezb/SnOkL/NDV7zzYTXYufvo6/u0WUztGzH55pvkA5mFWAPB9idV8Kw6gMczCo445fMaVkOji+7y88Zz9V7PiM95O+R3mGt89u9bOEgt25aQkbQx4tjrmXq7tWJegZg/vpFNFgdLB45mZu3vk/QZOH5sde1SW4WjZhMrTMLayTErZuXYg8H2VZUChgSSSpAVXoOz0yYxdUf/h85wNzdq1maXcyMnSvZm9s/8TjEzJ0ft6kHT1SWOlM3Ne/bXllacc54gqcwfPdEmhP25u9J8/vV29N5/YJrOT/NjjUc5PqtH/RoHX/8Z9b8Ps0jBHJ9DVSl52CJhFu9Ryrr9mSujz09AsUWCZEe8CbeozmJdIb8LBpxGbXOzMS5af6sohiwRsOkBX3U29Nbxdzy3J/MiT6z5nMSCIfpzU8mmZia9ztb7gfk7KMkugsqKioYee55+H3tt0T2KQYjxKIn3MXhcPDcc88xZcoUfD5fLwV2+ujp5PFEN1kvjZlKDEPKL1otbxx66ibvdEnS04P+xCRiA+ur2FZYStBsYVthKaU1hwiaLNy6eSkvjpl2xg0vbq8cNJfdAk8NDy37IyGjmU9LRvdIQ4LW+e1eaQEvlx7YQmagEWs4QNBsxR4OMn/929jCQcYf3oHXbCOvsY4xx/YQMZp4Z/hEjjbNYtz8uT+y9CnW9R9J1GAgK9CI32zl76OuxkCsVZK6/JzxBEwWXuk/kuu2vU9J0Nsiwc7lmQmzE8nG8fVgR59vZ+omILFvc2LTzBoO8Z3lz7Bq0BieHzejW+uaBlsay0ovZu6mdwma40n64hGT8djTgAjZXjeZgUbSgr4eq+M7Skhv3LKMSw9uI2i28syEWa3qrGJ3FbPLltNgT+/xRtpmx18HWtcxtczbsIiI0ZQoF0GTpVWS21Ky142Orj02YN6OVTgPbuOFcTNosKUlksgCTy2PLP1Dorw0NyAVeGoprTnE3twBiUd7jr/GJ3t9SKYR4bmS0TRse5/eqv36QsOGSKopie4Cl8uF3+clb/b9WPJKUh1Oh3x711C/YsFJ47SbDQAUzXscfzjWW+G10hxrX5Ph9/DFre9jikXjF4YWr3XnDcbJethSfdHq6dZnazjU40l6dwmZTEQxJHrNqtJzWt2Ql9Yc4lh6XrfNzt2XGhc6KgcrBo/jwff/hD0cBDO8P/TiHkmgWz4Dfaq9O/K5oNnKtqJSJlZsZsLhHazvP5IYcPn+DRQ1VONKyyZsNJER9BIxmtib25+ZLRotFo+YzMNLnyLb38Dkik3syB/MQHclxmgUczTSqlxaw0F++MFfCJrMLLM6+DtwT4tYFo+YzJHMgk6PNOhM3QQ0JUA1PLLkfziQ3Y9DWYWsOGcc31m+IDGcfMXgcRzKKW5V33dFXmMt9694hsxAI9sKhxA0W5mxcyWvj70Wc2OEGdtXEjSawero9jreFg6SFvASNFvbJHNfWfM6o4/toaCxno/OGdeqQaqfu4qHlz6FKRrh05LRPdZI27J+O75BJIaBkMkcr2POGceDy/5EyGhme+E5LB4xmaDJ0uXrxokaYfKBy47uwmp1ACQS6ZblflLFZj4+ZxxX7F9Plt9DjSODY4PHYIzF2p31uzmmZK8PJ2tkb9i9+lROe1I6uvY02NJYNOIybti+vFMNXiJnCiXR3cCSV4KteFiqw+hQqPoAcPI4raYYEMFaVEosYuil6FprjrUvsYWD3Lz1fSaVb2Jvbn9u3byUp802qoF+nloeWflCt91gnKyH7aQX0h68aDU/29RuL8a2D0gP+qhxZnUpkbdGIynvbU+WJRLBGg132NMAYI2GuyXWE93g5TXWMmfze9Q6MtrcJGYQH4bY3drrhVhxzji+s2IB9nAQv9nKtsIhTNm/nsqMvG4rl+2t6XqqvTvyOY/NybPjrwdgYsVmxh/eQXlWMUUN1ViiYSJGEzvzB1OVnsOfL/5Cq0aL5iTvYFYh9nCAbYVDMEajHM7I57yq/cwuW8HRjDw+PmccS4dewgPv/ykxUmN7dj9uOS6WGTtXtukdbt5+ojquZZnM9dYzb/3bvD7qqjYJKMSXNVo0YjI/eed3DKs5xKC6Sn4w4x+5Yv+GxHDyY2k5/GD5X/nonHH8yWLv8jlOTCLW9PxowGwlYLaS5fdw+7pFnFMVZa8/TI0tnTfOncLMnR+fch1vIz5Spvmb3zxc/9IDW9iTV8KC8TOpTos3+t257k0uOLKLoTWH2Jvbj5L6IwTN5vh3enD8O53tb6DOnsGb500hZDJ3uce3TbztJM3N14H5698GoNaRySclY/jO8gWJRjpTNMqMnStZNOKyLl83OmyECQW4EdibVcjwgJdcX0Orct/y8YPZ21e0+qyCJkuHyeeLY6Z1+lyl4jGWk43wmLnzYwzRKKZohIjR1CsxifQVmlhM5CQskTDGWLTVUka3H9jKecBPVr9Ctj8+Sc6b503p0o378T1sL1wwvc3MsdB9s312RstJRODzNVWz/B7uXPcmkyo2M7j2CK+fN6VLcTTPeN2Z2ZdTNUNoyGTCbUtrlUDD5z0GVek5uG1p3dIT3dHEOnmNtTy89CkmVmwix+duNbFORijA14Bb9qzpkXPQclKmAk8tDy77U+Jm+6dX30VVem6beLvqZGu6Nq/ze6aszd2bZbvBlsaz469nff+R2MNBRlZX0GBzciQjn03FwwmaLYle4uMn4yrw1DKwvpJthUOIGE0MrTnEMFcFMWJYomGKG6rJ8Dfyxa3vM7juKPZwgGpHJqM81WQD9VZnor4r8NTw8NKnKPDUnrAe7OhveP28KQyuPcKkis3cue7NNgl084RHIaOJoNmKIxTAZ7Hyrx8vpMBTQ1V6Lv9z6S1ccnAbA+uP4Qz6sEQjrd4nmc+l5T7NjT+OcJBPBo1hXf9zMTcdMwZcUr6Z/C1b8FusvDRmKkcz80+5jrdFwtwB3Lb708S5skTCZAR95PrczC5bzk/e+T2Daw5x07YPuODoLvp7XAQsVnK9Ho5m5FNac5gB9cd48P3Pv9OPTr2bWmdWj0wmdXz9ZiDee+s3W5lYsZmJFZsZVHuEB9/738/rmGvuoio9hyy/J/HsfFdm7e9o8rfbD2wlB6h0ZPLo1LsT79k8CV1Vei6/nHJHYnh+y8/qhLN+25ydbmzojknKWkqmHJ9sUrcCTw0TDu/AFP38ccGuxCRyOlESLXISzRfXqvScRCJd4q3nV0BO0Ju4wTiaWXDK79FeD9vxN6u3bl5KesDb7RfSZie6oDY/q9dyTdXFIyZjDQcZVbkPezjInryBBMxdnx+0MzPmpnKG0IDJcsL1RV8cM63bhp13dIM3Z/N7iZ4taJ4ROf63N9/8OZtuhHpCfHjleEZV7k30QP9yyh3sLhjcbtntqpOt6drVc2490U1lKHBWzX5rikbI9blbbWuuZ1o25DmCfsYc3cXBrAKq0nP5+6iriGEgI+glv6GOQxkFVKbnMKliM7N2fIQ5GmFXbgk+a7x31w8sGXgeRzILWDRiMqU1h8n2N1Bac4gPB49PjG5JtiwFzDb25A3E3lQ3WcPBRKwtZ3I2R6Os7z+SZaUXkhHwkhb0MapyH9vzBvMPn76Mx+bgYGYRfx99DR7L5598Mp/LrZvi/zXv07Lx57VRVxE0Wxhce4S0oA9bON5fHEpL45ULriVoslDsdrWq403RCDdu+4DipvWzj0/QW5aBnKCPLCAr6E0kPR6bk9dGXYnfbMUSDXOuq5yfvPs7rty7luKGGo5k5LMzbxArhoyjuMFFrSM9sdKA32zll1fcwZHMgjbXgfZmyc4MNJLtdbd7PWmO9fglmdqr31r+rjka4YKju8gI+RLX2935reuYeI/05KSuGx1p79qTHfJTC7ww7JLEYwYtrRg8jiv2b2i1rSeSyI4a2ZtHXWSE2i7EdaKGtpblON3fcf0SMpk7bNgu8NS0epypMw1eImcCJdEpovX1el9XznnL3sWDWYVc4K7EAfhNlsQNRleOn2wPmy0cSKq3urNOdmN4/c6PCRrNNDY9qzd//dt8adO7iQTa3zQ0sTmJ66pke9u7a+mTU/3sAmZrYnjj8Tw2J5ZIuNu+y+3d4NnDAT4ZNIZPBo3BHg62usFpefPX3UObm89XRqCRq/euIWQ0Nw3hLmXq7s/Ia6ztsd7h7u7daWYMBrlxS8ffgXkHtnIH3Ts8/mQNVxl+T68t65MRaGT++rcZf3gHIaOJcNPQzPzGOmKAv2nocXMZm7FzJY6gn6v2raWk/hjn1Bxh8YjJHMwuZs3A88j0eckIeSn01OAIBRhcexhbOEgEA5uKh7OqZAwbMgsZA/xg/SLyGmupdWaxavAY6uwZrOs/kum7P2HuxncImixtytLxS201n0cDMQJmK/6mydEuOLqb29e/zfz1b7dKqo5l5vPWeVPI9Xuoc2SQ43OT43Xzk6VPkueto9qZzcPT7+FoZj55/sbEetYt65zbNr5DaVVFYimj2za+Q4GnNt7r661LLO1ljYRYMuxS3ht6MTN2rsQeDrI/uxh7KEDQbKGsuJSyefMImix8Ze3r/OTd31HsdlFvT+fVUVczuPYIV+1dy88WP8H8tW8mEvR4Q9rnjSkZgUZuPLKLINBosbX5vHbmD2J/Tn8ASmuP0K/BxdGMPD4svZCfXPsNahwZZAS8TN21GmtTcr87byDX7lnN8Mpybtm8BGLRxHWg+djz1r9NsduF32QhaDRz4/bl3LZhcavvUnNidtvGxdy2YVGbJZnar9+CrO8/kq2FQ/Cbba0S+ubfef28KfjNNrwWO7XOrFbXDWs4xLLSzs3L0N615y2INwwd14BtDQf5/gdPJz6rnkoiO2pkbznq4qv7N5LR4ndO1tDWshzfvOk9zI0d1y/tfTbxidMOt3qcqaOGf2nB7we3u/3X3O7463LaUBKdAqnuYTgTnSwJyvB7TvmcNx+7eVKTYS2e296fnsdVe9eQ11jbpc80mR62JcMu5cay5Un1VndWMsmokRhvnDslMcRuUsVmAFYdl8R1x41Dsr3tJ1t/NZlhfBl+D3M3vtPuZ1fsruK2DYtOWDZ687vc3g3ea6Ou4tnx17fpgamz2HkaaGiaDKe7NP/Nd6x/i/nr3yYt6GP1oPP56TXfwG1PY2LFJh5e+lQike7OHvmeZAyHcQYDHX4HskN+0og/C98dkmm4CpkteCz2Uyrbzc/Ftve+RU09ms3SA17mr3+by/ZvwBIJETBb2Vo0lN15JRzNyGN05V5s4SB+s40CT21iuLXbnkZFVjFhoxl7JMhN2z4gx1uPNRrGRIRsXwO5Pjfn1BzCEg2T6W/EEg1z7Z41OEN+jNEYaUBm0Mecze9hjYR4fuwMfj7lyxhjUS48tJ3J5ZvI8bpblSVrJJT4brWs25vPj71p2PTa/udS3FDNrB0fM3n/Rvxma6vnZZufaa1xZFDtyKSk/hiOkJ8cXwP/M/EWjmQWkNdYy2Pb3uc3QJ7P3fQ89WU0Wh1M3r+B373+c+7+5CXmr3uLyfs3Mqz6AEuHXkzIbE2skT1//dvcuf4tvrP8GXK99YQMRobXHGR49QGs4RBBk4V+q1dzx+o3uGXze4x0VXB5+QbWFY/Eb7ZyIKuIYa4DXHB0F1P2r6PYXUVJzREeWfI/FHhqcYb85DQl7NkhP0bg74MntKkTqtJz+fmUL3Mos4Cw0URVWg7bCwazaMRlTDywhRyfh6HVBzHFImT5PezOGcDQ6oNcvWc1T7/4MDdv/YBLK7aybMhF+MxWcr313LnuTabsXccV+9ZjiEWxRELkeN1MqthMgaeGeevfZnDN4cSM1ZPKN5Pra8DZzpJMzbOXNyfwzf/6rA62F57DrtwSrtq7JvF9sYWDTN29mhgxlg67BGsklLhuxEdJ7eX+Fc+Q11ib9Pfy+GuPKRrlJ8DdW99v1RDzxrlXMKKqguE1B7isfCPLSi/usSSyo0b2gNnWtIQcjGmopPnJ/WQa2lpeOzP9HgYtW0bxCeqX4689EaORdf1Hdvg405n2aE238PthwQL4y1+gvr71a/X18e0LFiiRPo0oiU6B7uo9S6W+1JOeTCLzxa3vn3AYWq63nhxfQ5tzbgsHuW3jO9y+cTHDqsoTk5r4jWa2ApdW7uWy/Ru5beM75PjcXfpMT9bD1mhz9tjzoMkko6+fN4VY0zn5fPKoUv52wXT+PurqVr0TXblxSPbZ8GadGf59vOZJ4yaXb6LAU9Pq+P3cVTyy9CkuPbCVDL+n3c+ut7/LHTUuAG2S6zf7DaOD9u52JfudtkTCZPvciWcV/WYrz4+9jmMZeYn9MwONzNn8XmICopZr83b4HkH/CYce9nR9E3Y6eeWCazv8DjQ3SnisXZ9kCpJsuIrFePO8KZ0u2+09FwtN9dmGxTy69A/ctnFx4rxZw0EuOLKT4oZqGixOVg26gENZhTw0/V4+PmccAEOrD/LBkHGU1hzCFI1Q48jg/y68gR/M/DavnzeFsNHExIrNzNuwiEyfB0MMIkYTjlAgPmLDaKbB6iDb5yEt1MjMHavIifj5CFhZPAx70yibXG89V+5fR2ageSbw+HrRzcOSm5cQav5uOYP+xFJD8eS+ptWw6VpHBjGDEUc4gC0cJIahVc9eVXouf7nwBnJ9DfgsNhyhAI0WO//wycsMrapgzub3yAoGyAbm71zFbRsXM3Pnx3w6cDTFDTVkBBu5qWw5g+qOUtxQRVrAy/eW/x+Z/ka2FZUSajovl+/fQLa/gZDRhCkWxdE0/DZgthAwW7C63Yw/vANzNIIj6MMR9PPYO7/lG5+9yqhje/BZ7cQwEDWYSAv5mbFrFcNdBxhaXcGKweOY2TSBmsdk4WXgaHp2qzrBFI2wO3sAM3auImYwUJWWQ8RoYlj1QeZsepcRx/Zx9b41BE0Wqp1ZrBlwLhOO7KC05hDDXQdxhnxk+xrIDHi4qewDMv2NnH90N+MObWekqxxH2I8lGuHN86YkHn0aUVXBVXvX8rvXHmdQ7ZGmJZ/6U5WeE1+S6bhy26++ku9/+DSjKveSHvAyqnIv4w/vwG+2smToJQypOczk8k3M3bCYjEBj4jvkaFqO7ctr3yDL70mMjIJ4XZRs42571x6P2Uo+cNP+9Vy+f32iIabOkUHIbCZsNFPnSGfGzo8Tje3JXI87U6d11MjePCHgJ4MuYJ8zm9uB/o21STe0Ncfqtqdj8Xi4dcOS4673n08w2/La09y4ETUYWNTOCLHTqfG0VwWD0NgItbXw9NOfJ9L19fGfa2vjrwfVgXa6UBNRZ/n98QKemdnmpWRnpjzd19frjbWCOyOZpU3iLcefz3ja8pzneusZXHuEbUWlbYYj53jrmVS+CWfQxy2b36PB5qTamc2vSsbwD679eCx2ij015HgbcKVn42sx5LG9z7QrM5s2X0iPn+2z+cawvdk+00OBpJdnOdHM36+fN4Wpu1eT76nh3Kr9iQQ6aLZw07YPAPCZbWB1dKn1uXnt5c7Ovnyqs5a2njTuEAC3bXyH1QNH8w+fvNRqVlqPzRn/jNp5li+ZGYFt4WCXZ27vaGmn5hlsW5p9ZDflSR67M9/p5r959LG9ieex0wPexDDVTwaNAaDWkdGqHJzoPTKJJ3zB2kNt6o3erG889o6/A8+VjMa97X26q1bu6Dowq2w5ub6GVj08zWXbGg4RMRpPvtxTNEIanz8X23yc5h7CbH8Dk8o3887wSRzNLMBAjChGjmbksa24lI8GjaUqI5eg2cqz468nBnisTkJGCxuLh2IPB3n1/GviMdjS+MvFNxFcb+GKfeuYtutTahyZuNKyKPRUY27qgT6QXUx/dxUhkwlnKEjMYOTyag87gNeHXcKt1QdanfOq9ByemTDr8/WiNyzm/aEXM6VpCaGW9cOiEZfxha3LMEUjlNYc5pXzr+GmbR9w4aEyAmYrH5ReyLDqAwytPogtHMBjSyNiMOKx2BMzUNc54oNhXc5sijw1NFrtfH/5X9mdN5CP8ksIuvZTEvByTvlmDmYVcmnFFjb0G87Fh8rwWO1MqthMnS2doTWHOJxZQNRg5JdX3MGsHR+R6W8kM+DBZ8rHHI0SNRoT3xN7OAgYiFgsWJseFTiQWUBGIEBG0MstW5bhsTnZk9Ofg1mFjHRVcM3eNYRNZoImMwey+jF7x0dYwyHcNidBk4lbgBWeWmYc3ArEG0nGHdzOV9a+SdBkZkf+YD5qahyZWLGZ2dtX4AgGMBhieKxpHMwsor/bhaPpuhozGKlxZHIoq4iSusPM27AYj9VBzGDAFI1gisUwxKKkB7wYmpZ0mr/+beyRIAPrjxE1GBhWfYDNxcOoSs9td0mmvMZafrTsjwx3VVDlzGaY6wDmWJgoRvIa6/iXj56jv8cFMShuiDd4vj3iMl4/bwp3rF/EDWXLiRqNvDN8IgAGSJxjR9MoqfZm7W+ePAtoc+2JYeDl/iMx7FhBicFAf7crMW/CjJ0rqcgqZlfeICJGU/z70VTfnWz27VOp0wItGgZaik8IOJMbqsrJAW7f9Qnm9NyknwVvsKXx7rmTuKXqncS2ZaUXM3X36kR8Lc+N32wlRrxRrTynX6ul7lpK5v61rKzspPukWiAQwGbrvtkwjOPGkffGG5iPHCH8k59Qd801ZC9bhrmhgXBGBtVXX0109+6Ux9lT8vPzGTRoUKrD6DZKojujeShGYyN89autXurszVwqlyrqqp5eK7izkm2U6OicN1qdbCsqTQxHbvn3zNy5kgOZBVxevgFbOEQMAz+95i4uXvsWOwCbPZ3NRaUMrK+kIqeYt869PDHk+vjPtDvWsjz+Qtq8dEl60MvC8de3Xt4o0Mit+zdyBFjcdHN2srWGgyYLy0ovZu6mdxOzjS4eMZmA2UaOz82kA1uIxWJ8VjKaFy+Yzk3bPmBi07DuTwaN4dVRV+O12jv87E/WUBA0mvA2LSfTmbU1T7Y0WEdalh2AYdUHsB/dzZc2vkudI4NqZ3Zi0rjmz6i2aj9PtjhG83N5Dy99KjHaIWi2tpkRuCuJ3omWdpq//u3EZ7Bq0JhEEp8d8vNVYFHQx8natTv7na5Oy+HRqXcnZhyeu+ldTNEIjVYnz46fmVjXtflvTQ94sYaDJ1xCJivopbGp177lOert+qbDBpkDW7p87Pbeq2UjzFfWvM7QmkNEjCaemTAr8XfeuO0DHEEfI10VhIxmZpUtT6xV2x6PxcbTwD9ZneQdVyc2Nxg1r/W8rPRiZuz8mH15Awg1zax9/0fPsmbgeRiBF8dcy7PjZ5HXWMsDy/5MgcdFnSOT2dtX8PzYGQSa1h1eOuwSrty7FlM0ij0cID0QX/Iut7Eer9VOSf0xGi12jMQ4kFnIgIZqyq1OTIDfZG33nNc4s1g04jJml33IpQe2cnn5RrYVDqEqPZdFIy4jaLIkltnxWeysHXAumQEvN29ZxvnH9lDUUMPBzAJeP+8KJldsIS3o5eat77NsyIXYIiEy/B5+8MHTpId8VDuz+c3kL/HVz94kYjRS2FiLNRJieDTKnwaN4ZrtKzinoZqDRaUMqz5Apt/DOTWH2dBvOFftXZtYd3pvTn8coQAHMwu5eev7XHRwKyV1R/DYnBiIMay6gk39RiSWFLt181JyAx5MwSBRgxGvxU6dI5sdhXlcVr4eY1NyWpmey6TyzRR7qql1ZnEwq5D/ufQWJhzZiTUcYlTlXtb0PxdrNEIW8ZUjyvuPoMaRSX7Ax5jKPdjDQWxhAwZi/O2C6aQFvMwuW05+Yx0GoNKZxccl51PicZEW8mGMRal1ZGCORKhMz2V/ZiHjD2/HEQpgjYSodWRwNCMfc90RMv3xhH9ixRbum/2v2MJBnEEfzpCfKAb25fQjaLa22wCUHvAyZ/N7OEJ+jmbkETSaMcRiBA0WzLEwX9j6AX6LFa/ZwSeDz2egu5LK9Bxu3L48vq52LEbUYMQYjeIIBogaTa3q3+OvG83XwZDJnLgmv37elKZ5R0K8ft4UAG7fuJihO1dRBhxIy2VAyEda0J9o0Bpcd5R1A0Zi7mC4dEe6u05rsKXxZr9h3Lzt/Vbfn2TuIzMCjUzfvgo+H0jEjJ0fYyDewDN//SIglhh9ZopGsIVDbCsqJQatGraBpDqSIp5aMBi44447ThpfyhmMEIuefL9OyAS+CuQA/OpXANQCTwPupp87rQfi7A42wAqJUSd2h5Md28viibTbDVYrmEwpjLBrlER3xnFDMYzjxgGQEfSdcsXX22v+dYe+2JOebKNEe+f8tVFX4rE5O/x7jmXk8eroa7jk4FYOZhRw9d61BEN+DgEvXnIzN9Ud5lhaLm+NvCyx9ubxn2nQZCHb6273wlnsrmJ22XLSQ/HnYDqTDKQFvFx6YAuZgUYMwLPjr09cjOevf5tLXBXUACuCfsLtrMXZfMFrvngbIxEmHNlBWtDHtsIhBM3WxKyntnCQ4oZqwgYjEUP8SRBTJIw5GklMQhQymbl+x8c4Q34WjZhMrTMr8bck01AQNFva7W1v/uzaa90/UQ/tbRvf4Y1zp3A0M//4t0ok9C3LTnrQy5V712KOxm+KfnrNXRxpkUAXeGqJBANtnuVrnhF4UsVmRlXuY1vhkDYzAnf2s22p+Zk4aN240HK4ncfiYNHIyxLP5d1wZDcFwJd3fMwb2f2oc2a2HqXQokHjVL7T1Wk5vD7qqkQCfW7lfrYUD43H0mK/lp/76+dNSTQyNb/H1Qe2YiW+zNHf26k3eru+6ahB5mjT2vDdLWiy8MnA87nvo2dxhAPEgB0F5zCrbDmfDhzNlP3rmXRgM9k+D58NHEW/hmqKGmqYu2FxIpFur3HMTXxSua8d3k6ut77dHt5cbz0PLvsjlmiYTwaN4d1hl/K95c+Q43dzy5b3qHFmMerYHp689Bb+aeUL5Htr6eepJWo0t+rJ7ueu4jvLF2AAqtOyKGyowRINEzKa2Js3gKE1h4gZICvQyN7sfmQGvRxOzybX5yYK2CPBNud89vYVBI1mjMRYXTKay8s3Jmbc/q8Rk5i582OiGLBGw6QFfdTb01k6fCI3b1nGqMp9OEIBjqbnYozFuPeTl/nlFXdw9b61TN6/gZs3L2N9v+FMOLwTDHAwo5D/vegmvrL+LQwG8FpsRA0GSuoq8RY4yAl4mQQ4w37Oq9pHeVYRo4/twW+2Mf7QjkQy32hLo19jDasGjGZ05R6s4SDnVpUTNFk4kFnI2pLzcQZ9mJqWt2q+Hs3b/C5Rq5WdBYPxmG1k+Rq4rHwTMYORKAb8ZivTd36CPRJsGtIdH5793eXPsGbAKIbVHMAaCXF+5T5+UXAO/w/IDXiwVlXwxGVz+ceVL1LryKSwsRafyUI/t4tvfvIypXWHsUZC+C02wgYjXqudRnsa5SYzl9VvwhSL4XJmUtBYy/nH9jCo7ijGaIyI0YQpEqHWnsnuvBJisRjnV+7FEokwwF3J19e8zpDawwyqO4opEgFTfNj4BltaonHTQ4v1rE1mah0ZiZ7jTH8jI6v243JmcdHBMizRMOGomQeu+wfGVO4lZLJw0aEyKrKLGFhfxd7cAbwzYhLOoJ9Ge/w70PJequV1o2Uv8KIRkxPX5BvLlrOs9CJm7FzJ7LIVWKNh8j21ZIcCZBIfuryu3whGusrZnVfCyKr9lGcVM+HQDvbmDsBndSRdv3d3nZYRaGT2kda9l8k0In++drmHUHo6L427jGvKViV6nP1mK2lBL4Nrj7AnbyCmaIRxh3cSMZp4dOrdifum5klPbyxbnlRjcTTggViMvNn3Y8krSepvbI8tEsISibT7iE28XJkImCzt/GZyfHvXUL9iQZfjbM9HjbXcvuuTxM9vDJ+IMy3nlEY69WScXWGLhLhlzxqc4SAvDLuEmgYX1W/+CpfLxaCsrPgQ9rQ0mDs31aGeMiXRnZGZGe+Bbnp2Ie+NNxgIzN29miyr/ZQqvlPpPesL+mJPejKNEi3PuSkawRSNJs55y7/nznVvETEaE8urEIthDQe56PB2ttmcBIFXgHB6DosKz2F22XKm7vmMpcMuabM0yRe3vEejzYkxFmt1oZy3/m1WnDOef1r5AqZohE9LRnc6GQiarWwrKk08nwrxiaZu2vYBk8s3UhDw4AGs0TCGFq3fzcN/ax2ZLB12CTeWLafAU8PwqgockSBhoynR653l93DLlvcYWbWfoxl5+E1W0kIB5m1YxLmV+/GbrGzuN4wGq5O0gDfRI/PI0qdYNXgMz4+dQY7XzQ3bl5MW9GGKhMn2ujnWXmIb9BMkfpPRXmLQ/P/NCaAlEu6wh/a2je9wScUWLjxYxiPHLUF2fELfPGnc1bs/I2owYA8HqXJm8w9NN99XlG9ILOdRYbUTBFqW8ONnBB5VuY8vbXqXQNPPXU30OhrKH7/5zGT1wFEEzDau3fNZ4hy83H8kj2x7nwxXBfYtS6lKy0nc3LTXoNF83uZuWEyBp7bd73TLxPv4Z+Ts4QDjD+9g/vq3WzXmzFv/NulBHzjjjQ3H1xvNDVKLhl1CsIN6o7fqm3R/Izdufq/dBpnba3fzu255lzhbOEhawMsNZcu5fN96HJFgU4OUkeGV5Zx/dDffXP0qjVY7UYORo5kFHM3I49lxM/nOigWU1h7CFgnx3NgZTNv9aasRLs2PcdgiITL9jYxwVbC98BwiRlNirecV54zn1k1LsETDTT2UQaoy8nh06t385N3fU+ipZlj1AazhIL9+41d4LVZskQjvDp9IYWNtoid7U+FQ7v3kRdLCAersGfxm8lz+9aOFjDu8A5PRHH9O1+og2+8hZDJR0lDF9vxBpAcD1JltXAEU7PgYa9MQ1OZzHp/99xAHMwu4tGILu3NLGFZzgLSgj8cX/ZbPBp5HYWNdYnbg5t+LGI2EmlYS2FI4hFHH9pPnreM7Kxbw9PjruXnzMuxhPxMOb6famYXfZKWs6Bz+YfUrpAW95DfW4UrLImiy0GBzUlJ3lP+uOcBq4NL6KmJmMyOryokYjOT43FRkFJIdbsBntpIR8OG2OZi+5zP8RhO2WBQDUUxRIxv7j+Tvo67kwWV/xBiLETRbeePcKa2uF402J6ZQiIkVW3GE4729lem5lNQdxdrUsFeZlkOtPYPSmsMEzBYuL99ArSMDZyjAhn4juazmEJuBEaEAkUiQGTtXsTs/fmO9atAYLjq4jcxAIzdu/xC/2YbPYmfxqElEjUYuOLqb6bs/BaDOno4xFiXPW0dmoBFLNIIjFKDWmUGOr4GI0cig+mPEDAay/A0EjZZEk955lfs4p+4IhliUOkcG+3L6syd/EKU1h4F4w+JzBhNfAPrt/pS/Fw1J1G8GYsxf/zbOkJ+LDh2m1pkBBlhZMoYxlXsTw+8zA42MqKpgZ8Fg3Pb49z9q/Hyanxu3fcBLY6ZSnZbTqs5s2Qs8c+fKRLkpdrt48L0/Up7bj0G1xziYVUC+t54NWUV4K/dyID2Xyw7vJGAycW3NEcyxMMOqD7J4+MTEoxedqd+7q05rrssdTfXoG8MncmPt4TaN9cdrObrJ7Uin4pqrOLo1s1VMfrOVRquT8px+2MIhbIQS8xQ03ze9OGZaIoHubGOxJa8EW/GwpM9ZS73xmE+oaRLZrsTZnoxAIzce3Io5PTex7cbaw7w0cNQpXct6Ks6uSg94yTyyM37PWbmXZwtLqQaMDQ2fPwMOp/Uz4JpYrLOysuKJdE4O5oYG7iI+DPFUK75kJ0/qi9qbKXhZ6cWtesda6ukJx042o3PLc95oddBgdVJac4gCT21iOO/nax/v5dzK/YnlMdKCfs5vWs5pVOVerNEwNwP9PLXM3LmS9JCfHJ+71WfavDTJpIrNXLFvPQWeWmbsXMmy0ouIYeDy/Rv4zzf/kxxfPRGjiTebJvLozDny2Jy8OGYq6/qPBOLPt9312atMrNiMIRbjoD2DHcDs8k0YiD+r1jy79sSKzRQ3uJiz+b3EchW7CuLPyn0yaEziU4wBFx/cRnrAx+qBo3n8qq8SNFswRaNYomH25/YnbDRhDwWYuvczPh04muGuisRzlyMr9/LI0j9wScUWokDMYOT6pomCWjI3NnLrzk/azLh7olmvDbFoh5OtvXHulHiPSTTC7LLlJ5z0q7knzREOEDaaOZhVRLGnlkJPNQ++/ycG1B1LLOdhjNGqJ7r5eM3PA69q6k2Z1GLire5I9NqbeK45uX75/KlEjcZW9UfAZGY78efiLzq4jRyfG0skfMJJz4ImC8ZYLF7Gm8phc0NUy/Oe12LyGo/FTnXTiANTNMLEis3MX/82/dxVzF//NpMqNjO49givNz1X3l698Qonn0U82WXPTpXZ6+XmTe+1apBpOdtu8/D49ma87qyWM5xfsX89GSEffpOVtf3PBQwMrj/MqGN7yAh4KfLUUuPM4qNzxvH6qKu4onwD5dnFFHuqGXt4B+lBb6sRLv3cVXxt/0a+Dfx85d+4btcnOMIBTNH4UL8ZO1c2TZL4DENrDrEjfxB+s5ULD5bxtc/+DsDm4mEETVa8FhsFjXUUNNYy0O1i9cBR7MsbwKNT76YqPZeSmiP8/rXHGXt0F16zjUen3k1FTn829h/BoawCsgMeTLEopmiE8qxiwECjxc7g+mNsLiqlzmzHAVxUVU7IaGLRiM9HUlSl53AkPY/L96+nwFNDSf0R/nDJF0kP+MgINnJZ+UaOZOS1SqBzvfU0Wp389JpvsGrQGGJGExGTiUxfI4Weav7fJy+ypXAIAZMVr9VBvree8px+jHCVk+utJ6+xjqq0bAJmGzvyBlGZlk1WoJHBjfXMBI45MrCFQpiiUdJCPhrNNga5j2KKRTFHo9TbnGQGGjHFImSE/RiiESIGEwcyCxl9bC9f2rQEezhIoacGczjEDdvjiYfbnk751KnEIP55RQJ4LE5WDL6AQk8N1mgIUyxK1GAg29dASe1RTNEwzqA/MZv4h0MmUOPMJDfo40LAZU/HEgkxqnIfEOPnV32ZfXkDqU7LJmw0Y45EIBbls4HnsXDCLF66YBpBk5ksfwPZ3npisSi1VifZ3gYs4TB+swW/xYYzFKDWkYHLkYXXYmOkq5zihhrcNgeVaTmYYlGG1hzEHgpgjkYozyri36/+OoeyCinPLmZ4VQUFnlpuP7iVXD5/bj/HW58Ybp3hb6RfgwtTLErMYOTjwWMp8Lkp8NRyU9mHVKblEDSaiRiNnFu1nwx/I/ZwEJ/ZyqujrsZvtjKpYnNilYCWjp9Ec8bOlXwyYDSXlW9keM0Bzq3chyUaZlB9Jfty+pEZ8jMRmHRsL36zhYHuKrICDaQFvISMRga6K0+5HupqndYyEW6e+LDant5qveyWE322vAdrOeP3KxdcSzgt/p5BkyXx+7WOTBaNmEzEaEo83vXfk+ZSlZ7T6lpz/KohvTEK8XSdoPdMuPdP1vHftbm7VzMQyHvjjXgCnZMTz6famWPqdNFjSfSmTZt444032L59e0+9RepkZcHNN7fadKoVX3cvVdSb2i4FEeH+Fc9wx/q3en3prpNVTMcv3fDGuVMImS3sze2fSKTnr3+bOS3WPrZEw8zY+TGDaw5z07b32Zs7gDp7BrvzBjLMU8tg4LFPXqTYXYXfHJ/QwdGi17E6LZttRaVEjCZs4SAjXOUUu1384IOnmVixicF1R7FHgoSa1pputDk7fY6al/gImq1sLYw/133+sb3Yw0E2FQ9nbU4/BgK5/oZ2y5StqQexxpHBqsFjqErP4dnx1yeWTIr3UMWfp65zZPDaqCu5onwDEB96va1wCAPrK8nxNXDxoTIG1R7hPxb9hvSgD4/VwcHMQu77aCHZ/gYMsRjWcJixR3Ym1k/Na6yNL0EWCjBo2TKymp6hcwb9ZPvcif06ukDGDEb+PvpqXjvvyjaNN0cz83lk6t2s7zecrKbfa2+JoPSAl4eXPkW2v4FqZzbfmfUvHMko4Fh6LiX1x8jxurly3zqOpee0mVX2+O/ys+Ov528XTGdbYWmiV7p54reeEjBbOZaZ36b+yAwH8BMfhtjs+O/J8Tc8Od56JhzekehNt4bjw2xbnrccX0OrY7x5Xvy7tDN/MEGTBWs4GG/MWf33xOiIbUWlmCORxFq2xzd23Uz8sZgTSXbZs1MVNZvxWm0dzn5fZ7HTCIS64fmt5hnOm8+1x+pgZ8EggmYLMWJkBHyJMlPnyCBotrBq0JhEr7jbnsah9Hzs4RDX7/iYxU03vQWeWn7y7u+5tnIfdwIj6o9ijobxm6y8cv7V1NvTGVBfyROv/4I8bx0Ro4kXL5jOZwNHUdRYww1lK7hr9d8xAB+UTqAyPY96W3rT8lYWhtQdZsXgcfGe7MHjGOkqxxSLYiDG7twBeGzxyZUM0Sj96qsIGU2ETBb25PYnM+hlb3Y/zLEIpkiYC47u5r+HXoSL+DPcPpM1MQt30GRh1cDzuejQNizRCBmBRqzhMJMrNrOh3wjCBhPWSIjJ5ZvYVDis1QSR1nAAj83BwvHX02h1YomG8dgcDKo7yrlV+7nk0Da2FJXiCPmxRkJcUb4Rt9VJf3cVlkgYn9nGrryBXF6xif4N1TRabIABK5Ad9HIoq5Ao0GiOr0ZgjkaxRMLUOdLjM3ubHRiank20xCI0mm0UeWsprTnIdTtXAfDhkAkYiSWGob9ywbVELRaM0Qhhg5GgycLqgecx9vBubOEAhhh4zTbCBlP8WdVIvF6xhQPk+Bo4lpbLCxdM5/VRVzGssRYjEG4692lBH+cf28Os7R+R11hHsacGeziANRImx+dhcvkmHl76B374wV/YnzOAWlsGtnCI8yv3c17lfhzhIEZixDBgDwWIGAyETBaOZuZT7cggYDJjjoQo8Lrxmu2EjUY8VidRQ/zf4sZart63lsXDJ9KvwUXYbKbRYqPWGk/66q3OxMilr6x5nW9++jLTm4a5HswqYmO/ERQ21nEsLZvzj+5m7OGdTKrYxKHMAizRCAPrjzF91ydYwkEMwFV712BuGi6f7W+Ij4RpSh6br3/xyegmJ5aPu3nr+zQ2DQk2xWJYoiEOZBUyqmo/11btYySQFvKR63MTMFsxxqI02BwEzDaOZORz47YP2r1fO1nHQVfrtJaJ8HMlowkAt+xZk+hhbzlD+PH3YC1n/PY09eRbmxr3Zu5cyaIRl7F02CVcs/ezxGujKvfyD6tfZlnpxae0GkZ36o7lLXvbmXLv3xmtVk8JerkLMDc0fJ5AZ2WlOsQu6fYkOhgM8oUvfIGrr76aX//611xyySXcddddxGKxk//y6aK+Hl55pdWmU634Ttf19dpdCsLqIDPQmOiJ6q2WwWQqptlly4kajInXjzYlHVXpuezN7c8IVzkXHizjooPx2SKb1z7O9br53WuPc8X+DbjtaTw69W4OZRWxOy2HMcAI9zEuK9/E0qEXU+vIbPWZfr78xJh4S67RTAwY6SrnvMp9pAW8HEnPZ1PxMKbuWZ1Yg7Iz56i5NTbT38joY3sTz9qZohFGH9uLPRpmA9DYdLMwd9O72MNB1vcfmZhdG+Ct86bw/NgZiSU0WraQx5PlUp689Bau2bum1WfefP4G1ldyMKuQYdUHyGgaEnkwo4CRrv3Yw0FCRhM7CgYTNpvZVlRKo9VJrreeh5c+xV2fvcqde9dj8Xiotzp4acxUvDYHBkiss3qyC+S03Z+222vdaHMSNZkTxzn+gh/DwA3bl2OKRqizZ/Do1LvZ2P9cfnnFHVgjYYImCwPrj2GORihucMUbyyyfz4B5/HcZ4nVB8znzm62JGYF72vFLfd1RsQUH8eWDmtfxPtENT/NEentz+zc1FpVQWnOYAfXHEusC19vTeXHMtdS1KOtHm75rtc5MjLEoBY11WENBRlSXJ8raa6Ou4vqdH3PbhsXctvGdVmWozmInh/hjMR3Vob3Reh+1Wnn9/I7Xal9YMpoF0KVn7Jo13wC6bWmEjSY2Fw8jYLYy/vAO0oJ+vFY7IbOFyvRsDmYVYo5G+dePFiY+g5fPn8q6klFEjUYmVmzmpm0fsGLwOEa4yhlWfYCBPjc24Kgzi925JewsGMQV+zewtv+5XLZ/IxnBRtIDPn4x5U525w/i5fOv5UhGPo5wgCv3raXQ7WJ49UFM0Qj9PVWEjSay/R4yfR6+s2IBYw9v5zsrFmAixo78wezIH8yImoPMX/82JXVHGHdoO0biDTwPTbubOmcWx9JzcUZCLB80jqjRjIEYk2oO8yDw7xNmEzOZEvMY3LZhMdfs/YyqtBxiGKhzZGCORcjwebj0wGbSgl7Sgn6M0SiXVWwgajDQaHWyJ28gEw7v4OGlT2ENB3l2/Ey2FpbSv8FF2GDEGQ5gCwe4cv969uYOIGw002BzMuHILsqzivBb7BzMKuL8Y3txhOK9vMcy8tiUmY8fcFsdDKyvJGS2kBH0YgSMxDiWlo3P4iBmNJIVbCSMATAQJT7U2RYOUuypxhCL8smgMfzl4ptwpeV8Pumk2UK/VasYUnuEd0ZMZFnphVx0uIwcvxtjDCIYMEdC7MwbiMuZiYF43W+ORjBEIwytPsD8DYu4adsHVDgyCAJlOf35bOAoGq0OihpquGrPGr7YNMonFouPMDICBZ5axh3ZyZCaQ4x07ccSDTeNHghji4WJGQx4LXYCJgv19nTqbOnUODIZ7jpArt+Dz2zDaABrJERpzSGOpeUSMplx25w4g358ZhsXHtqBIxRkW9Pa4xGThcWFQ6kC3hp0AaU1h8n2N3D1njXM2v4RlmiY3XklPDL1bg5lFXIwq5BLDpaR6W/gvKp9OEN+xh3ZxVMXf4EGqxNbJMTU3avpV1/JpIrNOIN+1gwchcfiYHj1wTYjm5rrOmMshiPo51zXfnIa3RxLz8VAfK6Joc2zuUejOImP6LFGQjhCfqIGIxhMVDszuOhQGeOO7GxTx5+s46A76rRWS19ZbFgBZziY6GFfNOKyxLrq7d2DHT+6qWXv7he2vc+cFsO6Wy4ZNmPnx6xomt29WSrm8+nK8papcCbc+5+K9kZccPPNp30CDT2QRP/617/m448/ZuPGjbz33nusWrWKhQsXsmDBgu5+q9RosZ5bOCODPxFvST3liu80XF+vo6R1YVPCCDQl0ot6pWUwmYqpwZ7OK8ed88/XSMzAFg6SGfAklh7588VfiPfG2pyYI2GKG6qxhkN4bM7WlUEMjmTkU+PMavczjS8/EV/HcU9+Cc6mIW4RgxGPzcmW4lICLYZXNw/9TfYcNcczoqqcc+oOk+NrYF9OP3J8DZxTd5hz3S4WAq+WXpj4neZhus0JNMQTP2sklHjf9lrI/2nlC4k1WFs2VFSl53Iwq4Bh1QfYUXAOB7OKqHWkc9X+dZTUHyNGfLmR0ZV78TctmfPs+Jk0WuNDHydVbGaSq4KI1crLIy4FSAyP3lZUiqdp/emOLpAnG9ZlDwebJkX5fObK5gt+/GYvjdWDzueRqd9KTCJ2RfkGPht4Hj6LPf43ZRZwILs43lgW+vxmqeV3uTnu5hifmTCLTwZdQHlOP25sMZy8J7V3sXq19EJeG3VVq23H3/Acv27uo003r3tzBzCs+iDZ/gZKaw6xaER88rzjy3rL4fPWSIgBDVU4QgH8TXXYTds+oMBTy6SKzeR43a3K0HMlo6nl82Gdx7fC92brffBEa7VbbHRnU0jzDOermh6dyAg0khb0keWPLyl0MKuQipz+bCoeFn9coqknaMU54ziamZ9ooIN4fXvbpndIa+rNr3BmsQdYWTSMh667l6r0XLL8Hqbt/pSj6bk0WNN4dfRVHMwuBuKNTev7j8RntmGJBJm2ZzXDXOUMqK/kcEYBXquDfdn9KPbU0M9dxa/e+jV53jrq7Bk8PO0eljfVL5fv38AjS58iM+TDlZbFe8Mu4YvbVnA0PQ9rJIzb5uT8qn0czCogYjSSH/QyG6ixZyQ+z+ZluHJ9bogRH6Lsa8AWCnLl/nXkeutxhINUZBVzIKc4PmooHGLJ0IvbrA1c1OBiRFU5R9NzwGBkb84ArE0jIq7Yv5GthUPIDHixRYJkBb38dtKtDK09RL8GF1Gjif05/YgZjOSGArwHpIeD8aHaAS8NNicNNicuZzbVadnU29JwhAMYACMGXI6M+MzRRiO2SIiAycLRjHxePv/aNt8hSySMKRymPKcfEaMJn8XG0bR8qjLyqEzPBqMBEzCk/lgieY5iwGN1Up2WjTUWZsbOlVy5dy2l3nrKgHqrg4DZyu68gdTb0xhUd5T0YHyEw/aic9haNBSvxYbBAPZQgLzGOsYd3kH/BhfmaIQQRsIGU1PjcxofDR5H0GTGb7UxsP4YAbMZczTKx4MvoM6WDsQwxcIUe2rY0G8kBgx4bA6KPTVsLRzCoewinh0/kxpnFvZwgJsP72AgMKtiEwezCgkbTUSN8dEX+3P689D0e9mdP5jFIyYzsL4Sr8VKsaeWvTkDmhqpHczb+C6/uOJOfGYbaSE/kys2cyCzMP6M8vlT2dR/JOU5/bipbDk5PndiPpD569+mwFPLJQe3MuboLkrqj2GNhfGa7aztf258ffOm62QUA0HAHI1iDYfwWmy4bekczizAZ3ZQZ0snLeBjTieGFHdnndYyEW4gPplg8zFm7vw40QidzD1YY1Pjnt9sS9yTNHd/NS8Z9smgMWT5PXxn+YLEetHQvaOCOqOnH/PpTqf7vf+pau9+klde+Xyd7NNYtyfRzzzzDHPnzmXgwIEAjB49mpkzZ/LMM89091v1Prf784fhc3KovuEGDtK60jqViu94HpuzT3+JTpS0Nt/YuW1ppAW9vdIymGzF1GBPb3fG50UjJicmWNlWWMpro65K9MY+c9GNvHHeFezMH4QlGmb++rf50qZ3GeOuwgJUpOeyod9wQmZLh59pgy2N10ZdiSMYYFLFJoyxKHvyBnIgu7iplbz1haczQ3/TA15u2vYB9kj8Wd6jGXk0Wh0czcgjbDRjj4b5OvDFvWuB5iFZ+xh/eAd+s7Xd1u/2WshrnZmJNVhbXqCaL2AD66sIGc34LDb25gwgz+tODGncn9MvMXv38eckMew5EsYUDLZZJ/rZ8dfz+kkSwJMN62puRT++0SAj0JgoO8+NncHRzPzEzU2Bp4bCxjo+KL2QtQPPY3O/EQysr6LAU8PtB7aS0SKe5u9qezdFzTeNvTVMq72L1Rf3rk2s5X3839/s+O/0kcyC+KzyLXrU1/UfSa0zM/E3H1/WG20OduQPJmYwEDMYCBtN7MobyPjDO5hYsZlGqz3xyECreqNpOaZ6q7PdVvgzufW+eYZzazjIyKpyijw1WCMhogYDdfZMNhcNZXj1QYBEIv2d5QsodrsS9e36/iOxh4OMPbKLfg0ujmTksy6nmHVAwGxp1fAXMZrY0m8Y35v5bf560Y2tJpkzAO8PuYiwyYIlHCLH7yFotnAsI49vffHfOJRdTFVaFkNrDuIM+sjxNfD7ibewu2BwIg5LJESBpxa/2coPZv4T+/IGYgsHuORgGRv6j8ARCnI0I4/K9Dw+HjyeQU2zc4dMpsTnWZWek2i8yQh5yfI1UmdzMqTucHxUS9NjJK707Kblug5T7KnmuysWkOlvbHGj38iDy/5EdsCDPRzm/dKLqE7LZtnQizA2rWt8WcUm1hcPp8Gahtdi4/6PFlJSdxSAiuxiNhWPINPvIT0S5BqgLLsfEYOJsNGEORrh/aEXsTdvIPneeobUHCaMkRjgs9qJGM2YDGCKRvGbLESaJmtsLqctv0ONNicV11xDo83BhMM7GHt0N5v7D2PZkAkczirkSHoeQbMFe8hPgbeeqMFIoy0+4dP+3P7syR1IzGCgv7sKUyyKHyBGfBmu2qOETfEe95DRTGV6Lj+95pssG34JOwsG4zPbgBjOoB9bJBRfWspkpjIrn3UDRnI0IxdzLMaEozsJmq0MrjuG32zBa3GyeMQkDuQMoKxgMB6rk5jRhDEWZWD9UZaVTqDensmhzHzGHN1Dttfd6jubHfJzF1DoczOwvpKthUPwWhwcyipkXf+ReGzOxHrMe3P7U+3MYe2A83h/6EX8443fo9qZTba/ga+ve4N1TQ1AB7OK8FttLB4xuamh6fOkvemUMLFiM5fv38Coyr04gz4KGus4kpHP7rwSyoqGEDRb2J1Xkpg3xRSLkk58cs6QyUzYZGF/bn8+GTSGsqJSvFYHRmKd6jjoyTqtoWk016n2zsbvma7F3bRf/JGvYOJ6/NqoqyitOYwpGqHWmZnyZ3p7+jGf7nY63/ufilb3k1YnfwLCGRmJVY5O90S6W+86wuEwZWVlfPvb3261/YILLuDJJ5/s4Lfii4QHAp+38dc3ndSamhpCoVBHv9b7/H5ssRgGq5XAjTdSV16O3W7H03CUF/MHcOuetfgiQf5/e3caHMV553H8OzPSzEggoQNzyAhjYcQtBwzEuABzGATBBzLBsYxd2Eut17zacuJUXsQFIRtvijIvssnGrqzijbaCYxt7bTZsyiyWE+KTgGQOAwKEDOhA6EAaaU6NNJp90S0xAoFFLNRI+n1eQU/39L+f5z//nkfd/Uy47jTRPrjlr6/YvTW43W5sl84S7bj2tZSOOAgEMumoqSR6nbuJQ8B7aaONnxa4dK7bay3A78dkkZ5yG3lnD3ctf3/0BFquWPebxNpTTNea7sd7jeVgPIe5pLyEkwnDjBlTgx5yD77LOxPvwetMoAUovD0b15g7eay8mHvPHcYVaSMQCfGJwwEjbmNYSy1rP9nRtU1P+3j41H6yL57B3hYiaLNxMGUUALPrK7ir1UdZ8ii8TjdNrb4byp/4kJdp5w7RHg7xf2MnAjbC4QBHhqdyZHgKM6pOssZm43PPBZqjo+iItEPIBzaINtfibTzflbsjvPU88dffAeCOtONxJvDOuMl4fXW8MWo80eaLpLYGyD34Lm9PnIPP6SYpHCS3vIRyp4smVyJ/GzGSbaUf4QyHaHfYaXQOY2z9ec6MuI0WZwKupmrWfrKD9zNnkFt5jNZwkBOJSUxrvkhyaSlPBcsJJaR07ZuaUnLLS4jGPC8b2z+dWqDbcTxWf9bIC0cc0Si4O4zj2TN+BisrjjHCW9+tzzpzJxxpo6O5ljtry/kqeSR1dLBn7ERWVhwDp5M7L5yk0unC7nJ1y9FwpI2Av5Foe9hoMzPXY+O62bUhKRxkbXkJyeEgHmcCu9JG8aDDwaKKo9idbj4flcX/ZM265vHHfqY7+zUaDtIKHE9MpsNbR3zVUUI95PjwcIgnTn3O9LqvqHQNw2YDR6ufqVXHiUYh4nDQ7m3gj6PnEHbEd6sbdm8NYbebt9JGQ9poWuvKur3319WbnSPHGT9lcsV2N6I3te/vrU3X01kbZl4sY5yviShRAg4nNQlJnHEnkl11nLhIG+12B8dTx5LtqcUR8PDg33by5qR5RIGotx570MvIkNcYsEXCvJM6nnvj4hjrrWf9X39n3L5rzu7cDtxTuo+zYS9x2FhbXtyVM2+On8btdWdwhINEsOHoiHDSPYwzbX5envxt/v3jN/A64gnZoNKVyLzjf+arsI8o0BpoIhgxnj8uS0xmVulf+XDMXcxpC+K1RRlbf45PRo6jNjGZ/70jh5WVx/E7nQxzOHDWl9Nq66AFeH/ESL5Xf5YyVwKLL1XSEu+mPdKKz24MXj8bO4lLCUm4Iu1k1Z6hclgqk6pP0mZ30JiUypsTZjC8rZX1p/cTDflI8TdRfNt4UjzVlA1LYVJjNWeHp3JnyyX8NhujGyv55ZT5vHDkA9JCPiI2O7sn5NDoHs7smlIaHXFEbXacwL01pwnFubABfkcc6Y3VnBhxG+MaKnC1hwjaHTQ73XTY7dg62o1nnO122rHhiYsnPtDEdz95ndcn39utfnXEQcuMTN4Zlcnkrw6RHA6R0FTNpJZ6WqPwp8ypZLZcIrfqhNHWDgfVickkBJsJdrQTttu5EO8mLRzEGQ6SZrdjb67hzrYQ5cPTGNseojhzmjn7Ncw7/iG7MqcTbR6HM9DMXc112IlgA0KOeE6ljuHQyPG8NWkua8q/4MGKL3G0hxneFqLB6aYjGuWjUeOpstvYMyqTiVXHqHcn4m534oq0E2kLkXGpgq13L2PD6f34o234G88S9dV29fHasJdhDgfTL5ZRPnI8NdEIr8+4n1UVX+I269MfJ+QQ8DdSFwnzX3cvwR/vIoodX5uP7VPu5cXiPxFtD3N7sIXP0sfR7Eog4m/sOke0OBNizgtBXJE2HMFmRgdaaHImEoqPp2zYCI6OHMeuCd/ikbOHmV/5JUTh3PA0xgeaSAkHje8QjjiCNhsXnW7KXIm0BpoIReHjtDEMbwsx2VPLsEvneezT1wEunz97+N5zM2pabH1q6Wjt+hx1ut53sCvrXwOwffK3+d6ZYsJBT9f2HTUnyS0v7jrfvzlqPF5fXbdz79pPdnR9P+hNrN+kll55zrvW+f3vdTNq/s1wq8Y5PBzqdn7ZmX47DW435xYvJu3oUWzV1UR//Wt869YRCAS4dOkS8fG3xtjJ6zVGDl/3KLIt2ocPK3s8HlJTU9m5cyfr1q3rWv6rX/2KH/7wh4RCPQ9zfvKTn7B169a+CuOmuvKHw2MlAWHo01v+BqJuPyRv6voheQviuZbYOJswZgh+NOb/hVyONwl4HlgCBIHDwCvm67Hv8Tu650Yy8E/mdgDFGF9i3cB0IAGIN9/zM+A3QP0NHIMLeAYYhXFijj1dRIF7gQjwF+D3wMNAuvl6QkzMNvM4Ws1/O7m6vzrbyw/sMNd5hu7t9xiwDMgEPOa+LgE+YL8ZY8DcNilmu3/g69v2ev3TaRywMaZtQubxxK5/Zb/H9lkS8I/ASOBiD9uMwfiCUcDVNcDK2pBE974oxOj/TcBic519wKtc7uvr5Wzs671p99uAfwNSzP38BdiKkWNtwEHgK4y8Ger1sVNsbbBzOVdPYeTKTHOdFqAEqAb+DORh9HcQI+cWArcDzcAIc70i4A/AE1zu/78Ab9C9L9/AqAnDMPoV4DmMehIBZmHk+4vAg8B4oBHYCyyKiQOMvg4C/w2sNvfhBRKB+zA+163Aa0AVV9eTVrrnXhwwz9xnDeAAjprxdO6zwzxmhxnvb+heN1zAPcBo4EOzbRKB75r7SwIuYORvwNxXk9l2bwH/gpHTZ4CV5r+bgT3mugDHgEfMffjMOFLAfCra2M8p8zjjMer/PozPYk+1YiJGDYsAOeb7RzH6fYQZv8d8n69i2uFQTJt1Xnr4EjiP0c+d+dXZNk3AEeA/MOqd29w+DHwBfGruxw0swKh9deb7nsCo66+Z7f0cRu2dCJwFsjDyoRH4V6CMyzUjtpZ+K2a9f6Z7XnTG+AezDXuqUXdgnEdd5nu8CCzn6loVe15IA6aY7XvYPIY6s22ew/i8+IFyjH51mfuv5fLnNAgcN9vnP83XRwFPxsTYmedW+Kbfwa61/ZX14nrfD252ne/pnPd153fpXy6Mz8StkC9/r8rKyq47q3vSp4PoYDBIYmIihYWFbNiwoWv5z3/+c7Zt24bH4+lxuyuvRHd0dNDY2Eh6ejq2mJll5eZqaWkhMzOTyspKkgfwlPMy8Cj3xErKP7GS8k+spPwTK92K+ReNRvF6vWRkZGCP+f35K/Xp7dwJCQmMGTOGioqKbssrKirIysq65nYulwuXy9VtWUpKSl+GJjcgOTn5lklkGVqUe2Il5Z9YSfknVlL+iZVutfwb0YvZw/t8YrFVq1bx7rvv0mHOhBsKhdi9ezerVq3q612JiIiIiIiI9Ks+H0Rv3ryZqqoq1q5dS0FBAatXryYuLo7vf//7fb0rERERERERkX7V54PoCRMm8MUXXzBlyhT27dvHwoULOXjwIOnp6V+/sVjK5XKxZcuWq26tF7nZlHtiJeWfWEn5J1ZS/omVBnL+9enEYiIiIiIiIiKDWZ9fiRYREREREREZrDSIFhEREREREeklDaJFREREREREeqlPfydaBhefz0dJSQmtra3k5OQwZswYq0OSIebEiRMcPXqUBQsWMG7cOKvDkUEoGo1y4MABampqmDZtGtnZ2VaHJENMSUkJZWVlLF++XJOwSr+qra3l0KFDJCYmMmvWLJKSkqwOSYYQj8dDcXEx0WiUmTNnDrhxhq5ES49+9rOfMWXKFDZv3szLL79MVlYWW7dutTosGSI+//xzFi9eTF5eHvn5+ezfv9/qkGQQ8nq93H///eTl5fHKK68we/Zsnn/+eavDkiFiz549zJkzh/z8fPLz8ykrK7M6JBkiAoEATz31FPfccw+/+MUv+MEPfsCECRPYtWuX1aHJEPHTn/6UnJwctm/fzksvvURWVhZbtmyxOqwboivR0qOxY8dSWlra9VfJDz74gBUrVrBkyRIWLVpkcXQy2LW0tLBlyxbmz59PQkKC1eHIILV161aqqqo4duwYaWlpHDhwgPnz5/PAAw+wevVqq8OTQc7v9/Pqq6+SmprKpEmTrA5HhpDW1lZyc3MpLCzE4XAAsGXLFtavX8/Fixd1RVpuuuzsbM6cOYPT6QTgvffe49FHH+Xxxx9n6tSpFkfXO7oSLT3auHFjtyK6fPlykpKSOHz4sHVByZCRm5vLkiVLrA5DBrkdO3bw9NNPk5aWBsC8efNYsGABO3bssDgyGQrWrl3L3LlzrQ5DhqDU1FSefPLJrgE0GPkYCAR0R4T0i8cff7xrAA0wefJkwLhDbKDQlWjplQMHDuD1epkxY4bVoYiIfGP19fXU1tZeVdNmzpzJvn37rAlKRMQiRUVFuFwu3RUh/aasrIySkhIaGhooKChg06ZNzJs3z+qwek2D6CGic4Km61m8eHGPD/V7PB42bNjAihUrWLp06c0KUQaxw4cPc/Lkyeuuo0l1pD81NzcDdF2F7pSeno7H47EgIhERaxw5coTNmzfz4x//WLdyS785e/Ysu3btorq6msbGRmbNmmV1SDdEg+gh4tSpU187YcTUqVOvGkT7fD5Wr15NYmIib7311k2MUAaz48ePs3v37uuuM2fOHA2ipd+4XC7AqHGxfD4fbrfbipBERPrdqVOnWLlyJevWrePFF1+0OhwZQlasWMGKFSsA+PDDD3nggQe46667BszjfBpEDxF5eXnk5eXd0DY+n49Vq1YRDAYpKioiJSXl5gQng9769etZv3691WGIdMnIyMDtdlNRUdFt+fnz58nKyrIoKhGR/nP69GmWLl3K8uXLee2117DZbFaHJEPUsmXLyMjI4OOPPx4wg2hNLCY98vv9fOc738Hv91NUVHTVLY8iIgOZw+EgNzeXt99+u2uZx+Nh7969mplbRAa9srIylixZwrJlyygsLMRu15BA+ofX68Xv93dbVlVVRV1dHZmZmRZFdeN0JVp6lJeXR3FxMdu3b2fv3r1dy6dNm0ZOTo6FkclQcOHCBT766CPa2toA+PTTT2lvbyc7O5vZs2dbHJ0MFi+99BLz588nPz+fhQsXUlhYyB133MGzzz5rdWgyBJSXl3Pw4EFqa2sBY2Knc+fOcffddw+Yn3iRgamxsZGlS5ficrlYuXIlO3fu7Hpt0aJFZGRkWBidDHYNDQ089NBDrFmzhokTJ1JTU0NBQQFz584lPz/f6vB6zRaNRqNWByG3no0bN171VyKARx55ZEAluAxMhw4dYtu2bVctz83N5ZlnnrEgIhmsysvLKSgooKamhunTp7Np0yZNrCP9oqioiN/+9rdXLX/iiSd4+OGHLYhIhoqqqipeeOGFHl/70Y9+NOAmeJKBp6GhgcLCQkpLS0lNTeW+++5jzZo1A+qOCA2iRURERERERHpp4Az3RURERERERCymQbSIiIiIiIhIL2kQLSIiIiIiItJLGkSLiIiIiIiI9JIG0SIiIiIiIiK9pEG0iIiIiIiISC9pEC0iIiIiIiLSSxpEi4iIiIiIiPSSBtEiIiIiIiIivaRBtIiIiIiIiEgvaRAtIiIiIiIi0ksaRIuIiIiIiIj00v8DFpcPClUzyTsAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "# Scatter plot of data samples and histogram\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)),\n", " zorder=15,\n", " color=\"red\",\n", " marker=\"x\",\n", " alpha=0.5,\n", " label=\"Samples\",\n", ")\n", "lines = ax.hist(obs_dist, bins=20, edgecolor=\"k\", label=\"Histogram\")\n", "\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting with the default arguments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histogram above is discontinuous. To compute a continuous probability density function,\n", "we can use kernel density estimation.\n", "\n", "We initialize a univariate kernel density estimator using `KDEUnivariate`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:51.648444Z", "iopub.status.busy": "2026-07-15T16:58:51.647850Z", "iopub.status.idle": "2026-07-15T16:58:51.654748Z", "shell.execute_reply": "2026-07-15T16:58:51.653696Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n", "kde.fit() # Estimate the densities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We present a figure of the fit, as well as the true distribution." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:51.657034Z", "iopub.status.busy": "2026-07-15T16:58:51.656786Z", "iopub.status.idle": "2026-07-15T16:58:51.992442Z", "shell.execute_reply": "2026-07-15T16:58:51.991443Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "# Plot the histogram\n", "ax.hist(\n", " obs_dist,\n", " bins=20,\n", " density=True,\n", " label=\"Histogram from samples\",\n", " zorder=5,\n", " edgecolor=\"k\",\n", " alpha=0.5,\n", ")\n", "\n", "# Plot the KDE as fitted using the default arguments\n", "ax.plot(kde.support, kde.density, lw=3, label=\"KDE from samples\", zorder=10)\n", "\n", "# Plot the true distribution\n", "true_values = (\n", " stats.norm.pdf(loc=dist1_loc, scale=dist1_scale, x=kde.support) * weight1\n", " + stats.norm.pdf(loc=dist2_loc, scale=dist2_scale, x=kde.support) * weight2\n", ")\n", "ax.plot(kde.support, true_values, lw=3, label=\"True distribution\", zorder=15)\n", "\n", "# Plot the samples\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)) / 40,\n", " marker=\"x\",\n", " color=\"red\",\n", " zorder=20,\n", " label=\"Samples\",\n", " alpha=0.5,\n", ")\n", "\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the code above, default arguments were used. We can also vary the bandwidth of the kernel, as we will now see." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Varying the bandwidth using the `bw` argument" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bandwidth of the kernel can be adjusted using the `bw` argument.\n", "In the following example, a bandwidth of `bw=0.2` seems to fit the data well." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:51.996743Z", "iopub.status.busy": "2026-07-15T16:58:51.996444Z", "iopub.status.idle": "2026-07-15T16:58:52.445176Z", "shell.execute_reply": "2026-07-15T16:58:52.444510Z" } }, "outputs": [ { "data": { "image/png": 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sXrwYa2trNm3aRI0aNbSPu7i4KJ7nZcuWsWjRIn7++WcmTZpEyZIl6dWrFz169MjW9QghhBBCCCGyptJktmnxGyQqKgpra2tCQkKwt7dXPBYfH8+dO3fw9PTUJqf5vdiHLgV9YQ+NRpNhJfG6devi4+PD9OnTX1NUr55arSYqKgorK6tM55e9SWxsbFi6dKl27/DCSNf/8cIgKSmJHTt20Lp1awwNDV93OKIQk9eaSBMUFMTX0+bgXr8dVvZ5v+aGWp3CjRs3KV26FHp6utcBiQp9wv2jW5j6xWc6bzgIkR3ye028KqGhoTg4OBAZGYmVlVWO2hbKO9rW1tZ89flnxMW9ukTbzMyswCbZkLpy+KJFi+jfvz/GxsYsX76cc+fO8dtvv73u0IQQQgghhBCiQCmUiTakJtsFOfF91SpVqkT16tUZPXo0oaGhlCtXjhMnTuDl5fW6QxNZ0DXkXAghhBBCCPF6FdpEW+Tc4MGDGTx48OsOQ+SAv7//6w5BCCGEEEII8ZwcJ9rXrl1j3rx53Lt3j9KlSzN69Gjc3NyybKNWq1mzZg07duxApVLRs2dP2rZtm+ughRBCCCGEEEKIN1WOVnu6fv06tWvXJjY2ln79+nHnzh1q167No0ePMm2TkpJCu3btmDRpEs2bN6dHjx6sXLmSLVu2vHTwQgghhBBCCCHEmyZHd7SnTJlC2bJltQtkdejQgdKlSzNr1ixmzpyps82SJUvYv38/ly9fxsPDA4D27dsTExPzcpELIYQQQgghhBBvoBzd0d69ezft27fXHhsaGtKmTRt2796daZuVK1fSrl07bZKdJv0ey0IIIYQQonAwSHmKzdN72MfexDbuLpYJj1BpUl53WEII8Upl+452XFwcwcHBFCtWTFFerFgx7t69m2m7S5cu0bVrV2bPno2vry9OTk506dKFVq1aZdomISGBhIQE7XFUVBSQumdeUlKSom5SUhIajQa1Wo1arc7u5QihU9q28mmvKfH6qdVqNBoNSUlJ6Ovr3pe1IEr7Xfb87zQh8pq81kSa1M9M6v9/ZsqjxFejxjX6Am6Rp3GNOotD9FUsQjKOWkxRGRBp7Mp9wxKcMlSTEvmQJAeHXJ82IiICPz8/goODMTY2pm3bttja2r7MlYgCRH6viVflZV5j2U60ExMTATA1NVWUm5mZaR97nkajIT4+nhkzZtCxY0cGDRrE5cuX6dSpE9OnT+fTTz/V2W7atGlMnjw5Q7mvr2+GrYwMDAxwdnYmJiYm0ziEyKno6OjXHYL4v8TERJ4+fcrBgwdJTk5+3eHkuT179rzuEMRbQl5rIiwsjICAQJLu3ME8LPKl+rJNCaVR/D5qJxzBXh36wvr6mmTs4u9hF3+PqpagXt+MYKtK3LNvzCPr6mhU2fsiNSEhgX/++YfNmzcTFxenLTc2Nuadd96hV69eGBkZ5fq6RMEiv9dEfkv/eyansp1oW1hYYGBgQFhYmKI8NDQ0028QVSoVNjY2lCpVil9++QVInZ8dFRXFzJkzM020v/jiC0aNGqU9joqKws3NjSZNmmBvb6+oGx8fz4MHD7CwsMDExCS7lyP+b/Xq1axcuZKQkBDmzJlD06ZNX3dIr5VGoyE6OhpLS0tUKlWGx1u2bMnw4cMVUyjyk7e3NxMnTqRFixav5Hxvovj4eExNTWnUqFGh+j+elJTEnj17aNGiBYaGhq87HFGIyWtNpAkKCuLQGX/cPD2xsnfMVR9W8Q+pHbiKiqHb0Nfk/stPPTQUibpAkagLaGw9SWn0OZrynUAv84Q7JSUFHx8fTpw4keGxhIQEtmzZQnJyMhs3bpRku5CT32viVQkNffEXiZnJdqJtYGBAxYoVOXPmjKL8zJkzVK1aNdN21atXx+G5oUHu7u6Ehoai0Wh0JjPGxsYYGxtnKDc0NMzwnyklJQWVSoWenh56ejmacv5aLViwgJ07d7Jjxw5tWVBQEL169cLDw4PFixezePFilixZAqQ+/9bW1pQrV4727dtnGHq/YMECbd30rKysOHr0qM4Yrl27xsCBA1m3bh3lypWjePHiBeo5zA9pw8XTXlPPu3r1KpGRka/sebp8+TLR0dFv9L/Lxo0bWbp0KeHh4dSqVYtJkybh5OSUaf2UlBS2b9/OL7/8wt27d9m6dSuenp6Z1tfT00OlUun8/18YFNbrEm8eea0JQ0NDVCq9/39mytlUHH11ArUCVlErYCUGmrwdQagKv4PB5mFw7CdoOw/caumsZ2hoyKBBgzhx4gT6+vr07duX+vXrc/bsWZYtW0Z8fDw7duygb9++bNy48Y1+7xR5Q36vifz2Mq+vHK063q9fPyZPnszYsWMpVaoUp06dYvfu3axevVpbZ9WqVWzatIl//vkHgIEDB/LJJ5/w4MED3NzciI+PZ926dTRq1Ehnkv22ePz4MdevX9ce37p1i5YtW1KyZEnmz5+PoaEhjx8/Jioqih07dqDRaAgNDeXQoUP06tWLBg0a8Oeff2q/sU1fN72s5rReuHABOzs7unbtmj8XKQq91atXM2jQIObMmUO5cuX49ttv8fHx4ezZszq/LAMYNGgQISEheHt7s337dsV6DEIIId48LlHneefGZGzjH2RaJ9TUkzs2dTgVUwTjkvWINXEhSc8UFWpMkiKxiQ/AKfYqLk8O4xl9ChOVjnmPT/xhWQuoPQSaTwQj8wxVBg0aRFRUFM2bN6dy5cra8rT1f+Lj49m8eTNnz56lRo0aeXL9QgiRGzn6qu/jjz+mbdu2VKlShRo1atCwYUOGDx9Ot27dtHVu376Nn5+f9vj9999nwIABVKhQgfr16+Ph4UFiYiK//vprnl1EQXfhwgW8vb2pWbMm27Ztw9z82RuLkZERFStWpFKlSvj4+DBhwgSOHDnCvn37+OGHHxT9pNVN/6dcuXI6z/nDDz8watQowsPDqVixovbN6Ouvv2bcuHEsWLCARo0a8d577wGp82S///57vL29qV27NmPHjiU8PFzRZ/369Vm5ciWffPIJDRo04N1338XX15fAwECGDBlCrVq16Ny5M1evXs3y+di3bx8dO3akdu3a9O7dm4sXL2of69Gjh/b5eOedd5gzZ06Gebu5jaN+/fqsX7+ezz//nIYNG9K6dWsOHjyYZawajYalS5fSokUL6taty8CBA7lz5062ryc7wsLCtNfyfEwLFy5k4MCB2uO9e/dSsWJFxT71H3/8MT/++GOOzpldEyZMYMSIEXz00Uc0adKEP/74g5s3b7Ju3bpM2yxatIitW7fSvHnzfIlJCCFE3lBpUqj1YAXdLn6oM8lOVhlxzrkLa6qsYVW1DRzwGMk541qEmXqQpG8GKhUalT5PjewIsqrMeZdubCz2NZ+F9ybC53soWk3HWTXw3xL4tSk80f15YdSoUYokG8DHx4eNGzfSvHlzLl68KEm2EOK1y1Gira+vz2+//cbly5eZO3cut27dYvbs2Yo6ffr0YfPmzYqyGTNmcP36dWbMmMGRI0c4duwY7u7uLx99IXD48GEaNWpEhw4dWLduXbbmFJUtW5Zu3bqxatWqXJ+3b9++DB8+HGtra9avX68dlRAQEMCcOXM4duwY33//PXPnzgVg8ODBLF26lLFjx/L9999z4MABWrVqpV2lG1KHOY8YMQIvLy9mz56Nq6srbdq0oVWrVlSvXp0FCxZgbGxMmzZtMl3U6urVq7z33nv4+PiwaNEi3nvvPUUi+d1337F+/Xp+//13hg4dypIlSxg/fryij9zGcfnyZQYMGICDgwM//PADFStWpGXLlvj7+2f6PI4cOZL58+fz0UcfMW/ePBwdHalRowaPHj3K1vVkx4gRI3B0dGTmzJkZYipZsiQbNmzQroi4Y8cObt++zfbt24HULwI2bNhAiRIldPY9dOjQDF/OPP/n6dOnOtvevn2be/fu0bp1a22Zvb09derUwdfXN9PreX5BRSGEEG8eo+QY2l/+DO/7i9BDuUK5Gn3OunRnec3N+JYcR7CFF+RglGIihjz16gSDfeH99eBUIWOl4KvwaxM2ftM9y/eU9Nq2bcvu3bspW7ZstmMRQoj8kqOh42mKFy9O8eLFdT5WokQJnR/qnZ2dcXZ2zs3pcmX27NkZvgTQpXr16oq7fwDt2rXLMBddl1GjRikWbcupR48eaRfXmjlzZo7aVq1ald9++43k5GQMDFL/GR88eEDFihUV9by9vVm8eHGG9s7OzhQrVkw79z69okWLsmrVKm2/165dY/Xq1Rw6dIgGDRoAqcl+iRIl2Lp1K+3atdO2/eijj/j4448B8PLyYvny5XTu3JmhQ4cCqdvBubm5cePGDZ1328+dO4eTk5N2obyaNWvSuXNn7eMlS5bU/lypUiWsrKzo0KFDhju2uY2jQ4cOfP7551hZWeHt7c25c+eYPn26YnpEmlu3bvHTTz9x48YN7Wu+Tp06HD9+nCVLljBx4sQXXk92dOzYkW+++QZIveuePiZvb28SEhI4efIk9evXx8/Pj6FDh7Jt2zYALl68SGhoKI0aNdLZ9xdffPHCFdYzGwL+4EHq3Q0XFxdFuYuLi/YxIYQQBY9V/EM6XB6J/dM7GR57aFmJfSXHE2Je5uVPpFKBVyso1RyOLQS/aZAc/+zxpDi66e3iq4mbOX7sG7748stsdPn2TksUQrxZcpVoFwRRUVEEBga+sJ6bm1uGsuDg4Gy1TdvfO7dMTU2xsLDg8OHDREVFYWVlle22hoaGaDQaRaJdpEgR1q9fr6hnaWmZ47iqV6+u7RPQzrdNS7IhNVEtV64cZ8+eVSTa6RfGs7GxwdjYmCpVqmjL0r5sefLkic5Eu0GDBkRGRtKlSxd69OiBj4+PYjG9a9euMWfOHPz9/YmIiCAhIYGYmBhCQkIU9XIbh4+PjyKepk2bsmbNGp3P0+HDhwHo1KkTkHr3WKPREBAQgKura7auJzuaNGmSaUwWFhbUqFEDPz8/ypcvz6VLl9ixYwc///wzgYGB+Pn5UbFixUzPmdkXZtmRNhrg+VEYxsbGsq+lEEIUUA6x1+nk/wnmScpdZtTocdxtEP+5Dcj2VlyZSUxI4PHjx8rCkt3Rd6iD7Z7PMAy9onjou6bGnFfvISiwT5arkj8vJSWFu3fvKr6kT2NmZoa1tXWu4hdCiOwotIm2lZWVNtnJiqNjxu0tHB0ds9U2J4mxLtbW1uzfv5+mTZvSokUL/v33X2xsbLLV9t69e9jZ2Sm2O0qbo/2ynt+rPDY2VudwXzMzM2JjYxVl6RP0rMrSDzlPz83NDX9/f3777Td+/vln+vTpQ6dOnVi5ciURERF4e3vTsWNHJk+ejL29Pbdu3aJz587Ex8cr+sltHLr2iX/+GtPExcVhamqqMxFPe/PO6np0xaPLi2Ly8fHB19eXihUrUrlyZZydnalTpw5+fn74+fll+PIgvaFDh2q/MMjMyZMndf77p221FxoaqhjFEhoamuMvE4QQQrx+RaIv0+nyJ5gkK28kxBrasd1rGoHW1V/6HPFxMVy4eIEZC5fpfG8xpD49TNX4mF5TlFdJPsOxn9qzLLYJmmzMfLx8/gz+506RlJREt34fZnjPtbc046vPP5NkWwiRbwptov0yw7qfH0qen9zd3Tlw4ABNmzalefPm7NmzJ9N9ydMkJiby559/8u67776SGEuVKkV4eDgPHz6kaNGi2hiuX79O//798/x8xYoV46uvvuKrr77i7t27lC1blk6dOmFkZERCQoJ2T3bghQur5dSVK1cUe2T7+/vr/CYcoEyZMtqEN6svODK7nrQ74S9y+fJlxfHzMfn4+LBgwQK8vLy0SbWPjw/79+/n0KFDOrd9S/MyQ8fLli2LmZkZJ06coFat1K1YUlJSOHnypHaovBBCiILBOfoSnfw/xjhF+eVyqKkn/5SfS5RJ0Tw5T1JCPIlqFbblG+DkUkxnnS9XP6R26Hlmv2OMXrqh4PWMb2LuWIx/XEa98K76f6fOEB0VCUCUxpSq9Z9tixoTGUao/2Hi4uIk0RZC5BvZYPAN4Orqip+fH7GxsTRr1oywsLBM66bdwY2IiGDKlCmvJD5vb28qVqzI2LFjtcOF086dfsX5vLB582b++ecf7X7WKSkpaDQaLCwscHR0JDY2lnPnzgGpC7dNmjQpT8+/dOlSrl1L/Rb99OnTrF27lsGDB+us26RJE6pWrcqHH36oXfwsOTmZ9evXs2fPnhdeD6Su/v7OO+9kGdOvv/7KlStXMo3J29ubxMREVq5cqR1m7uPjw4YNG7Kcnw2pQ8dftBhaZvuQmpiY0LdvX+bOnasdAjhr1ixiYmLo06ePtt7w4cMzfQ6FEEK8fvZxt+h4+dMMSXaAVTXWV16eZ0l2euZWtljZO2X4E3DrCsd2bGDeiUS6b0ok6bl7QpWj/OgcvgQrO0ed7dP+NO3+7H3n3MGdiscsrO3y/HqEEOJ5kmi/IVxcXPDz8yMxMZGmTZsSEhICPFvgrEKFCri4uFCjRg1sbGw4depUhjutaXWf//OiO5Yvoq+vz7p167h48SL29vY4OjqyatUqNmzYkO2h7tlVpUoVVq9ejY2NDaVLl6Zq1ap8+umntGzZkjp16jB8+HBq165NiRIlKF++PA0bNszT87dr14727dvj4eFB3bp1GTBgQKZfJujp6bF9+3ZsbW1xd3fH09MTW1tbtm7dSoUKFV54PQDnz59/4Urz7du3p2nTpri7u+uMKW2ednx8vPb5qFevHikpKVnOz84LM2fOpHLlyri7u1OkSBF+/PFHNmzYoNhV4N69e4otz5YtW0bFihXp0aMHkPqcV6xYkY0bN+ZbnEIIIXSzin9IJ/+Mw8Xv2dTh7/LzSTSweGWxRIY+Zt3Mcdrj5IZj2Fp+Nskq5ftkhSfbaXBvYZZ9FS9XFWeP1AXb7l4+S/iTh3kfsBBCZKHQDh1/040YMYK+ffsqyooUKcLRo0e5f/8+Go2GESNGaJMRAwMDrKyscHFx0bmiZvq6z0u/L3d6bdu21Q75TfPdd9/pnD9dsWJFLly4wIMHD0hKSsLT0zNDHMeOHcswt/3MmTOKBecMDAy4ePEinp6eOmPy8PDgr7/+Ii4ujkePHlG0aFHFPPT58+czZcoUgoODcXNzQ09PjxEjRihWtH+ZON59911mzZpFZGQkVlZW2Nkpv/Xet28fRYoU0R4XLVqUbdu2ERkZSXBwMO7u7orEOavrUavV+Pr6sn//fp3PRfprWbp0KQ8ePMDCwiJDTAB//fUXMTEx2nUDjI2NuXDhguK5yw/m5uZs2rSJkJAQIiIi8PDwyDAPbtGiRdo7+pD6xUGdOnUy9JWddRGEEELkHePkKDr6f4JFYrCi/K5NXbaU+5EUPd1Th/KDOiWFtdPHEhsZDkCFek1p2KE391QqNpebRfurYzBQJ2jr1w78jVgjB84V1f3ZR6VSUa1xK3bevQ7A+YP/4tMl76e7CSFEZiTRfk2cnJxwcnLKUG5lZaWY76urTk76y4q1tXWGuUkvSnZ0rdKeRtcq4uXLl89Qlp0F28zMzDLd+9nGxkZxJ/35/l42DpVKhbu7u84h015eXjrb6Hou09N1PWq1msOHD2c6BxyU15LV3vO6/t1Kly6daf285uDgkOmd8+fjzqquEEKIV0NPnUybq+Oxi7+vKD8Xacnww/ro+c2kcsOWlKpc+5XEE3T3BvevXgDA2qEIPUZ/r/1C/75tXbZ5TafdlTGKPb197swmwsSNu3YNdPZZpdG77PxtHpA6fFwSbSHEqyRDx4V4TQwMDLJMsoUQQoh8odHgc+dH3CNPKoovPk6hyeJAju7byeHNq7WJ76vgWrIsoxZtoljpCvQaPwtzK+XCsHfsvNlbSrmPtgoNra9/hW3cXZ19OrmVwKVE6hfk96+eJ+xRQL7ELoQQukiiLcT/HTt2TDt3WgghhCisqkf+S5VHfynKgqLVtFobR0S63TLL1/FR1FGr1SQnJeZbXE5uJRi54E9KVq6l83H/Iu046v6hosw4JZZ2V0ZjnKx7PZqqjZ6tNn7h8O68C1YIIV5AEm0h/q9cuXIvvTe6EEII8SZz1w+m1ePFirKnSRp677Ggbt8JfP7LNr5YsZuh01dQxF056urY9vXM+bgz9/LoTnd8XAwpKcmKssx2ukhzothArjm0UJTZxd+nxY0poGONmSoNn+3sceW/Ay8RrRBC5Iwk2kIIIYQQbwFVQiQfWezBQJOkKP/uXhVaTttNg3Yf4OxRGkfX4pSpXl+x6GlE8CO2LfuRoDvXmT+yO5uXTCcx/mmuY0lMiOeXLwex+rtRObtLrlKxu9Q3PDZXrplSOsyPqkEbMlR3LOaJXRFXTMwssLCx17ngqxBC5AdJtIUQQgghCjuNBusDX+Oorxxi/Udoaez6LMXQKOsVxhOexuJQtHhqV2o1B/5awaxhHbh96VSOQ0lJTmLTvAncvXyWC4f/ZeOcr3PUPlnfhK3lfuSpgXIR0kZ351Ek2l9RplKpGDbjN7798zi9v5ytc+cWIYTID5JoCyGEEEIUdmdXY3pnj6LoWkoxAt/7LVvJZxH3koxc8AdtBo3BwDB1G8vgwLssHN2LvxdN5Wms7jnSzwt7HMg9/zM8uH4RAFMLKxp3zvlq4NHGzuwqM1lRpq9JptX1CRimxCnK7V3c0DcwzPE5hBDiZUiiLYQQQghRmIXegp3jFUVPDaw5WGcxGv3sJ6D6+gY07TaY0T//g0f5agBoNBoO/bOa7/s2x++vFSTExehsm/A0jn3rf2H196NIjE9NhC2s7Rjy/TJcS2bcljM77to24D/Xvooy2/gHNLozL1f9CSFEXpJEWwghhBCisEpJhk1DIClWUby71ARijIvkqssi7iX5eNZa2g0Zj8H/h5zHRkWw7deZ3LlwXFH31N7NrJ/1JZN7NmL78lna+dh2zm58On8jxctWzlUMaY4WH8pDy0qKssqPN+EZdlhn/eTERBIT4nU+JoQQeUkS7bfc7du3+eGHHxg7diz+/v4vbvCWmzp1KqdO5Xw+Wm5NmDCBixcvvrLzCSGEKGSOLYBA5fvWaZt3uW3f+KW61dPXx6dLf8Yv3UH1Jm2A1GHgJas3VNQ7d2AH//37F/H/H1quUulh61yM3l/Px97F7aViANCoDNhVegqJeqaK8hY3v8UkKUJ7fO/qBX75ajBfda7FpaN7X/q8QgjxIgavO4C31a5duzh37hzjxz8byqVWq5k1axaJiYl8/vnn7Nu3j717U98MDAwMsLa2ply5cjRr1gxLS8sM/aXVTc/U1JRvv/1WZwzBwcFUr16dzp07U65cOYyNs14IRcDixYspVqwYNWvWfCXnW7BgAVWqVKFSpUovrvyaBAQEsHHjRsLDw6lVqxbt2rXLsr5Go2H37t2cPHkSMzMzmjZtStWqVV9NsEII8TYJvg6+0xRF10LV/O3SDfs8OoWdczF6fTGL5j2H8fjezQyLqrl4enH5hB+GxiZU83kPrxoNOLlvK0Ymppn0mHORpsU44PkZLW59ry0zTwqj0d257C49CYCU5ESunjwIwL2r53Go8ua+rwohCge5o/2aHD58mKVLl2qPExMT6d69O3PmzKFdu3YYGhpy+PBhVq5cibOzM/b29kRGRjJz5kyKFi3KwoULM/SXVjf9nyJFMh8Wdvx46vCuZcuWMWbMGEqVKpU/FysKrTNnzlChQgX8/PxITEzkww8/pFevXpnWj4iIoHLlysydO5f4+HiuX79O/fr1+e67715h1EII8RZQp8DmjyAlQVuUotYw5XJxDK1zN2Q8K87FS1HJu0WG8trvdOaTOeuYsvEYPUZ/j1Mxzzw/N8ClIh24beutKKvwZDvFw48C4F6msnYRt/t5tA+4EEJkRe5ovwFiYmLo2LEjd+7c4ciRI3h6PnsTsrGxYcyYMYr6q1atol+/fjg7O9O5c+cs62Zmy5YtLFmyhKSkJMaMGYOhoSHTpk1jw4YNqNVqKlWqxJYtW9DX12fcuHEAnD59mp07d5KYmEjjxo1p1qyZos8JEybQuXNnAgMDOXPmDJaWlvTu3Rs7Ozv+/vtvzp49i7u7O3369Mny7nl4eDgbN24kMDAQLy8vOnfujImJCQDz5s3jwYMHqFQqihYtSvPmzTPc7c1tHGntrl27xrVr17CxsaF3797Y2tpm+Vzevn2bv//+m+joaCpUqECnTp3Q19fP1vVk1/bt2zlz5gzW1taKmLZt28bjx48ZOHAgAFevXmXp0qX06dOHypVT572tWbMGMzMzOnXqlKNzZseIESNo2rQpf//9NwDdu3enRo0a9O/fP8PrA8DQ0JCNGzdSrtyzhW/q1KnDwIEDGTx4ME5OTnkeoxBCvJX++wUCTiqKFpxSo/ZolK+n1Wg0RAQ/Ii4qgriYKNBo0DMwICI4CBtH5/w7sUrF3pJf0PdsN4xTns1Hb35rGquqrgcjc9y9KnP70inCnzwkLkb3om1CCJFX5I72axYSEkLTpk0JCQnJkGRnpk+fPrRs2ZIff/wx1+e1tLTE2toafX19xZ3vnTt3Mm7cOLp27UpcXBwODg4ALFy4kPr16xMYGEhcXBydO3dmxIgRij4XLFhA27Zt+fnnn1Gr1Sxfvpy6devSsWNHVq1ahb6+PrNnz84y4QsJCaFSpUps3rwZIyMj9uzZQ/369bWP29vb4+zsjJOTE1evXqVBgwb8/vvveRLHggUL6Ny5M3PnziUpKYnVq1dTo0YNwsLCMo33jz/+oEaNGly/fh2VSsXMmTNp1KgRSUlJ2bqe7Bg3bhzTp0/XGVNUVBQTJkzQ1v3zzz+ZNWsW69at05ZNmjQp02tYunQpY8aMyfJPYmKizrbBwcEcOXKEPn36aMuqV69OxYoV+eeff3S2MTc3VyTZANWqVUOj0fDw4cNsPR9CCCFeIDIQ9k9VFF0PTeFq0S6YmVvk22nPHdjJirE9mNq7KbOHd2LxuH4sHt+fRWN688Og1nzRvjpLJwwl8IY/4Y/z/nd+rLETBz0+VZRZJTyi/v0lAJSo9Gza16OHAXl+fiGESE/uaL9GUVFRNGzYEEdHR/bs2YO1tXW22/r4+DBhwgQ0Go12/8vQ0NAMd7TLli3LoEGDMrRv0qQJgYGB7N+/P0ObiIgITp8+jaOjI5CaUI0fP56ff/6ZAQMGANCuXTt8fHzo168f1atX17Zt0KAB69evB6BXr16UKlUKb29vVqxYAUDHjh2pWrUq9+/fx93dPUNcvr6+QOod3LTrunbtmvbx54cl169fny+++IKePXsqynMbh4ODA9u2bcPW1pavv/6aypUr8+OPP/L999/zvPDwcAYMGMBff/1Fy5YtAfjyyy+pVKkSS5cuZdiwYS+8nuxwcHDAz88PfX19vvrqK0VMTZo0ISgoiGvXruHl5YWfnx9t27bFz88PgMDAQG7duoWPj4/Ovm1tbXF2zvoOQ2b7q16/fh2AkiVLKspLliypfSw7Vq1ahb29fYYEXAghRC7tGg+Jyju2H25PZObGj/l51caX7l6j0XDz/Ak8yldTzMk2t7YlKeFplm0jQx8DKkzMLbOsl1uXinTAK2Q37pHPFoCrGrQR/yJt8KxYQ1v2WBJtIUQ+K7SJ9uzZs5k9e/YL61WvXp0tW7Yoytq1a8eZM2de2HbUqFGMGjUq1zHGxsYSGRnJO++8k6MkG1KHiScnJ/P06VPMzMwAtHen03vRsGddvL29tUk2wLFjx3j69Cm9e/fWljVq1IiSJUuyb98+RaLdunVr7c8lS5bE0NCQVq1aacvKli0LkGmi7enpyZMnT1i2bBndunXDysoKLy8v7eMpKSls3boVf39/IiIiCAkJ4f79+0RHRysWiMttHD169NAO+zY2NqZ79+7s2rVLZ6K9b98+4uLi2L9/P/v370ej0aDRaNDX19euTP6i68mO999/P9OYXFxcKF26NL6+vpQoUYJjx45x8OBB6tWrR3R0NL6+vri6umY6/z791IOciotL3QfVyspKUW5tbU1ISEi2+ti0aRPz5s3j999/l8X4hBAiL1z/F64oP9csO5uIffV2uLq6vlTXKclJnN63hf0bl/LkwW16fj6Dms3bax8v4l4SKwdnXEt4YePojJmlDSqViuSkRKLCggl7FEDADX+MTM0wtVAm2ucP7kLf0JAKdZtm+gVvtqhU7C35JX3O9sBAkzoiS48Umt2aTkC5uaj09NCo1XJHWwiR7wptoh0VFUVgYOAL67m5ZdxaIjg4OFtto6KichVbGhcXF+bNm0fnzp1RqVTMmTMn221DQkIwNjbWJtmQsznaWbGzs1McBwUFYWtri6GhoaLc2dmZoKAgRVn6eAD09PQUZWkJY3Jyss5z16xZkzVr1rBgwQI++eQTKleuzCeffEKvXr1ITEzEx8eHiIgI2rRpg4ODg/bNODIyUpFo5zaOtKHyaYoUKZLhGtM8fvwYExOTDG369++vTaazup7sSv+lh66YfHx88PX1pWLFijg5OVGjRg3Kli3L4cOH8fPzy/RuNqQOHb969WqW5//+++8xMjLKUG5hkTr8MCIiQlEeERGRYVV8XXbt2kXPnj2ZPXs23bt3f2F9IYQQL5AUDzvGKoqCY9V8vieBP7cPz3W3arWaM/u3sPO3+YQ/fvb56Oi2dYpE28rOkfcn/kLp0qXQ09PX1RUPrl1k6wrl553E+KdsWjSV6LBgSletS5dPp+DoWjzX8UaaunGyWD/qPfhFW1Y0+iI1Y/ZTtERZAm9eJjw0mMjISFxcXHJ9HiGEyEqhTbStrKyy9c3t80lMWll22j5/Jy833nvvPTZv3kyHDh1ITk5mwYIF2Wq3Z88e6tWr99Lnz45ixYoRFhbG06dPMTV9th1HQEAAHTt2zPPzdevWjW7duhEbG8vGjRvp27cvJUqUID4+njNnzhASEqJN8vbu3cvMmTPz7NzPJ9UBAQEUK1ZMZ11nZ2fi4uLo169fhmQ7O9eT3bnaz89dfj4mHx8fRo0aRaVKlWjSpIm2zM/PDz8/P8UWcs97maHjZcuWRU9Pj2vXrim257p69Srvvfdeln3++++/dOzYkWnTpvHpp59mWVcIIUQ2HVsAEfcURWP2JODsWQ4fHx8ePXqU4y7vXjnHpgVTCLjprygvUbEmDdp9oJjClh16+vra1b/TnDuwg+iwYABunDvOzA/b8t6AUTTq2DfXd7dPFutDueAd2MQ/u3Pd4P4iKlSqR+DNy6nnPXdOO8JNCCHyWqFNtF9mWPfzQ8nz2zvvvMPWrVtp164dKSkpLFy4MMs3ltmzZ3Po0CF27dr1SuJr0KABNjY2LFmyhJEjRwKpc44fPHigGI6dF86fP0/RokVxdHTE3NycDz74gBEjRhAYGIiVlRUqlQq1Wg2kfsOe3S8msmv16tX06dMHKysroqKi+P333xk8eLDOui1atMDW1paJEyfy008/af/NHj58SEREBOXLl8/yeiD1tXbp0iW+/PLLTGNatWoVn3zyCSYmJjpjatKkCY8fP2bp0qXaPdPTku979+5leUf7ZYaO29ra0qxZM5YuXUrXrl3R09PD19eX69evs3LlSm295cuXk5yczJAhQ4DUL4k6dOjA999/z2effZbr8wshhEgnMhAOKafM+UdbseZiDPPmDctxwprwNJZtS3/k6LZ1aDQabblXTW9afjAczwrVs2idM7VadsLE3IrNS6YR/jiQ5MQENi+exs3zJ3h/zHTMLHM2vQ4gRc+Y/SU+p9PlZwu3miWFM7x8BLtTN8rg4sWL9OjRI68uQwghFAptol3QNG/enB07dtCmTRuSk5NZsiR1hcy0Bc40Gg1hYWEcOXKE6Ohofv/9d+0CXGl0LYYGMHXq1BxvJ5WejY0NCxYsYMCAARw8eBAzMzM2bdrExIkT83wBq/DwcDp37kzFihVxc3Pj0KFDlCpVinfffRdDQ0PKlClDvXr1aNy4MSdOnCA+Pj5Pz29kZESTJk3w9vbGz88PGxubTO+4WllZ8ccff9C1a1f+++8/atasyYMHD7hx4wZr1qx54fVA6hcWp06dyjLRNjIyokaNGjRo0ABfX98MMaXN075x44Y2qW7cuDH379/Pcn52Xvjpp59o3LgxDRo0oEyZMmzevJlRo0YpRlts2rSJ+Ph4hgwZQmBgIO3bt8fFxYXAwEDF63XgwIGyIJoQQuTWnm8gKS5dgYoKY7YRMMZJOwosu6LDQ1nw2fuEPHx2d9ylhBfth4ynTPWc7ZyRHSqVisreLfCqUZ8dK+dy6O9VAPgf28+8T7sxeOqvOBTNuK7Li9yzrcctu0aUDDuoLWtteJKhI0YSEhHD8OG5H04vhBAvIon2a9KqVasMW3n5+Piwf/9+Dh48yLVr12jVqhU2NjYAGBgYUKFCBQYPHkzt2rUxMDDI0F9a3edl9i12jRo1mDhxoqKsR48e2jvG6fXs2ZP69euzZ88ekpKSGDduXIb9q6dOnarduznN9OnTKV++vPZYX1+fmTNnZlipOv1zcO7cOfbt20dgYCDvvfceLVq00M6pPnHiBFu2bOHx48d06NCB6tWrs3LlSsW1v0wc48aNw9HRkWvXrtG8eXPat2+v+JJiwoQJ1KpVS3vcrFkz7t69y7///svjx49p164dTZo00bZ50fX4+vpmuU3b1KlTadmyJVFRUZw5c4ZmzZpliAlg1qxZ3Lt3T7vmgL29PYsXL85ySHteKFOmDFevXmXbtm2Eh4fz0UcfUadOHUWdgQMHaufCm5iYMGXKFJ19yWJoQgiRSw9OwqU/lWU1+oFLFXIzA9nCxg5nj9KEPLyHkYkZ7/YZQcOOvdHXz9+Pjcam5nQc9hVe1RuwbuY4YqMiCA64y7xPuzFwymI8ylXNcZ+Hin+CR/gR9DUpABhokvjI/SZzNeVebtE1IYR4AZUm/XigN1RUVJR2JWN7e3vFY/Hx8dy5cwdPT8+XumsrhI2NDb/88gstW7bEysoKPb383WY+MTGRFStW8OGHH+breQq6wvp/PCkpiR07dtC6desMCw0KkZfktVbIaTSwojXcP/qszMQaPjkL5srPTEFBQXw9bQ7u9dthZe+UZbexUeFsmPUVbYeMy/bCZGp1Cjdu3MxyMbTAm5fZ/tt82g4eh4u7p846AGGPAvh1woc8vncz9ZLMLPjytz1YWNtl2iYzPrd/pFrQBkXZ91Ht6T/2B1kMrYCS32viVQkNDcXBwYHIyMgcr8+Vv5mEECJTRkZGkmQLIYR4Odf/VSbZwDXn9iQbZ39ec9Cd6zy4flFRZm5ly4DJi15q9e+XYedcjBFz1lG6al0A2g/9IldJNsBxt0HE6yt3w+hudiz1SwohhMgnkmgL8X+6hpwLIYQQbyx1CuydpCiK1rel8qCfcHFx4c8//9TdLp3LJ/yYP7I7S78ZRvgT3dtZvi6mFlYMmvoLA6csps67XXLdT7yhDSfcBirKSho8YcePQ7Rr4gghRF6TRFuI//v4448pU6bM6w5DCCGEyJ5zv0PwFUXRoqt2JKZASEiIdt0OXTQaDQf+WsmyicNIeBpHdFgwu1bNz++Ic8zQyJgKdZtkKNe1nkxWzrt0JcJEuV1n05QD/LFu9UvFJ4QQmZFEWwghhBCioEmMA9/vFUVJDuX4esMFADw8PKhdu7bOphqNhq2/zmDzkmlo/p+wVmn4Dp0//iZ/Y84j5w/9y5zhnYiLjsx2mxQ9Iw55fKIo87TVoxbnSUlJyesQhRBCEm0hhBBCiALnxGKIfqgo+jelPsn/Txq7d++uc1VttVrN1qUz8ftzubasxQcf0furuRiZmOZvzHng+M4/+O3bEQTeusKqqSNJSUnOdtubdk0IsKqmKBtVC25fvZhJCyGEyD1JtIUQQgghCpK4MDg8V1lWwodZ/5zVHvbo0SNDs6SkJA7s3s6Z/VuB1O0/u478llZ9P833nTbySpnq9bWLol0/e5Rtv87MfmOVikMeIxRFjuZ6PPWbm4cRCiFEqoLxW1UIIYQQQqQ6NAsSlMOmw2uO5ODBgwCULl2aKlWqKB6Pj49n4MCB3LlxFQA9fQN6fTGbeq27vZqY84hdEVf6TVyAvkHqlk4HNq3kwuE92W7/yLIi18yVQ+pLPdkB8dkfhi6EENkhibYQQgghREER/QhOLlWWVerK38fvaBcI69SpU4Zh43/88Qd79+4FwMDQiAGTFlLNp/UrCTmvlahYk/ZDv9Aer/9xPCEP72e7vZ9jL8WxmSoBjv+cZ/EJIQRIov3WU6vVnD9/nn379hEcHPy6w3njHT58mKCgV7f9yYEDB3jy5MkrO58QQog33JH5kBz/7FjPAJp+zT///KMt6tChQ4ZmvXr1YuzYsRgYGtJr/I+Ur+OT76HmpwZte1K1ceoXBfFxMayZPibb87UfmZTkVIKHsvDYwtQh+UIIkUcMXncAb6tbt27x+PFj6tevryg/d+4coaGhNGrUiPv373Pnzh0ADAwMsLa2pkyZMpibm+vsL61ueoaGhjRu3FhnDElJSTRs2JDg4GA8PT2ZMmUKjo6OeXB1hVePHj2YOnUq/fr1eyXna9++PUuXLqVLl9zvH/oqXL58mfDwcCpWrIi1tXW22z169IhLly5RunRpihcvno8RCiFEIRD9GE4tU5ZV/YAYQwd2794NgIuLi87VxlUqFZ999hn3gqPwKF8tw+MFjUqlottn3xJww5+Qh/e4f/U8e9ct5p1eH2er/Zb4WlQ3uote2o3/hCg4ugCaT8y/oIUQbxW5o/2arFixgj59+ijKlixZQu3atbl9+zaGhoasWLGCdu3aMX36dL799lv69++Pg4MD77zzDhcuXMjQX1rd9H/mzJmTaQwHDhzgwoUL+Pv7s3fv3gxJvxAvEhYWRoMGDWjYsCEfffQRRYsWZcWKFdlqm5iYSJs2bXjnnXdYt25dPkcqhBCFwJF5Ge9mNxxNXFwcgwcPplixYrRv3x49PT3UajVXr17N0IWFpdUrDDh/mZhZ0HPcDPT09AHYs2YR969deEGrVIEpdpxOeO4L3hNLIDYkr8MUQrylJNF+Q3z//fd8+umnrFu3jsGDB2vLixYtyt69e9m3bx/nzp0jICCAIkWK0KBBAy5eVG5HkVY3/Z/0Q8nSu379Ovv27cPExITDhw/j6+sLpN6Z9Pf3Jzk5mTNnznDs2DFtm6SkJE6dOsXRo0eJi4vL0GfaMOfY2FhOnjypeIMPDw/nyJEj3L+fvTlUd+/e5ejRoxmGs//333/a5+PKlSskJSXlWRxp7WJiYjh58iTXr1/PVqwajQZ/f3+OHz9OeHh4jq4nuzKL6dq1a4rXQXh4OHv37iUk5NkHhcuXL3P58uVcnfdFPv30U6Kjo7l37x7nz59nwYIFDBkyJFvP3eeff061atVkFIUQQmRH9GM4tVxZVvUDsC2Ok5MTCxYs4P79+8ycmboK9/jx46lRowb79u17DcG+Oh7lqtK851AAjM3MiQzJ/nSre549SdGkK0iKhcOZ36AQQoickKHjr5lGo2HUqFEsXbqU7du306xZsyzr29vbs2LFCs6cOcPEiRPZtGlTrs67b98+tm7dSmxsLNOnT8fIyIgmTZowY8YMrl69SkxMDCYmJlSoUIF69epx7NgxunTpgrGxMWZmZgQEBPDrr7/StWtXbZ/t27enQYMGnDt3Dnd3d86dO0fHjh3x9vbmu+++w83NjfPnzzNhwgS+/PJLnXElJyfTvXt3fH19KV++PLdv36Z9+/b8/HPqIiW//fYb165dQ6PRcPv2bfT19fnrr78Uq6vmNo727dvTrFkzDh06hIeHB/7+/rRr1441a9agr6+vM95r167RpUsXYmJicHZ25vLly4wcOZLJkydn63qyY/369QwfPpzixYtniGnPnj38/PPP+Pv7A7Bu3TqGDx/OjBkzGDt2LAD9+vWjS5culC9fPkPf586dUyTlujRp0kTn9cfFxfHHH3+wYMECLCwsAOjfvz8TJkxgzZo1TJkyJdM+t2/fzs6dOzlz5gxbt27N9nMhhBBvraPzIfnps+P/381OT6VSYWFhwdy5c7UJd7t27bh7926h/lKzRc9hJCXE07hTP6zsnbLdrkG7vugfvwvn042qOrkUGnwKFtnvRwghdJFE+zVKTk6mb9++7Ny5E19fX2rWrJmtdvr6+nTo0IH58+cryp8+fapdUTSNg4MDVatWzdDHsGHDsLS0ZMyYMRnanDx5kv3792vndicmJtKrVy/at2/PwoULUalUzJ49mwEDBtCwYUOcnZ21bYOCgrhy5QpWVlbs27eP5s2bc/v2ba5du4aFhQWbN2+ma9euDB06FDs7uwxx/fvvv+zfv587d+5gY2MDwC+//KJ9fOHChdqfNRoNY8aMYdiwYRw9elTRT27jOHHiBH5+fpQtW5bbt29Tq1YtfvvtNwYMGJAh1uTkZNq1a8cHH3zAhAkTUKlU3L59m5o1a1KnTh1at279wuvJjuPHj3PmzBlcXV25efOmIiYfHx8++eQTnjx5gpOTE35+flSoUAE/Pz/Gjh1LdHQ0Z86c4aefftLZ94YNGzh58mSW5/f29taZaF+5coWEhASqV6+uLVOpVFStWpVz585l2l9gYCCDBg1iy5YtOtcbEEII8ZyYJ3Dy+bnZPcE249oW69ev57PPPtMez5o1q1An2QD6Boa0Hfx57ho3/hwubARNSupxcjwcXwTNJ+VZfEKIt1OhTbRnz57N7NmzX1ivevXqbNmyRVHWrl07zpw588K2o0aNYtSoUbmO8d69e6xevZr58+dnO8lO4+rqSnR0NHFxcZiZmQGpw4anT5+uqFerVi2diXZWGjRooFhA7dChQ9y+fZtvv/1Wu13Ip59+yg8//MBff/3F8OHDtXWHDBmClVXq/C8fHx/09PQYOnSo9o5ns2bNSEpK4ubNmzoXa9FoNGg0GiIiIrSJ6ZAhQxR1IiIiuHXrFhEREZQuXZq5c+eSmJiIkZHRS8cxYMAAihYtCkCpUqXo3bs3q1at0plo+/r6cvPmTerWrcuBAwe0sVeuXJldu3bRunXrbF3PiwwcOBBXV1edMVWoUAFHR0f8/Pzo1q0bBw8eZMGCBQwcOJDk5GQOHTqEmZkZNWrU0Nn3tGnTchRLemnD5J//wsTe3l7nwnyQusp9r169+Pjjj6lVq1auzy2EEG+VI/MyvZt95MgRSpUqRZEiRdi/f79i/ZdvvvmGoUOHvupoCxa7ElD1fTi75lnZf0uhwUgwtXldUQkhCoFCm2hHRUURGBj4wnpubm4ZyoKDg7PVNioqKlexpSlZsiTt27dnzJgxFC9enHbt2mW77dOnT1GpVJiYmGjL0uZov6xixYopjm/fvo29vT329vbaMn19fUqVKpUhoXJwcFDUMTQ0VJSlxatrjjdAq1at6NSpE+XKlaNGjRo0a9aM/v374+HhAaR+aPjxxx8pVaoU9vb2JCQkoFarCQ4O1iajLxNHqVKlFMelS5dm8+bNOmO9ceMGBgYGzJgxQ1FuYGCgPdeLric7SpcunWlMKpWKRo0a4evrS8WKFUlISKBz586MGjWK06dP4+fnl+kdaXi5oeNpX2w8ffpUUR4XF6f40iO9JUuWcOPGDcaPH699rSYmJnLz5k0OHjxIo0aNsoxFCCHeOrruZld5H2w9UKvVdO3alUePHlG7dm3F2iWDBg1i0qRJrz7eN0BsVDg7V86jVJXa2i3AsqJpMBLOrkXF/ydsJ0anDiFvNCZ/AxVCFGqFNtG2srJSJF6Z0TWcytHRMVtt0+6YvoxZs2ZhaGhIly5d2Lhxo869L3U5efIk5cuXR08v79eze75PGxsbYmJi0Gg02jvakPpFQ9pd2ryir6/P8uXLmT17NocOHWLt2rVUrFiRCxcuEBkZydSpUzl//jyVKlUC4NixY9SvXx+NRvOCnrMnOjo6w3Fm12hubo5arWb79u0YGxvn+HpKlCiRJzH5+PiwcOFCKlWqROPGjdHT06Nx48b4+fnh5+eX5dZgLzN0PO3LgoCAAMX874CAACpUqKCzL1NTU8qWLaudOwgQGxvLgQMHCA8Pl0RbCCGed2yh8m62Sl97N/vkyZMEBQUBcOHCBe0Xn23btuXnn39WvGe/LSKCH/Hj0PbERUfgf3w/5Wo3xtg082lKW7dupX///ixqkki3CobPHji+COp+BEZmryBqIURhVGgT7ZcZ1v38UPL8Nn36dAwNDenatSvr1q174Z7Jp06dYtOmTfzwww+vJL6aNWuSnJzM3r17adGiBZC6b/eVK1eoU6dOnp4rbYi1jY0Nbdu2pW3btlhZWXH8+HHMzc2xtLSkYsWK2vrbtm3L0/Pv2rWLDz74QHu8ffv2TK+xcePGaDQa1q5dm2FoeWRkJNbW1lleT4kSJbh+/TrBwcE0aNAg05h27tzJsGHDMo0pbZ72+vXr6dSpk7YsbdG8zOZnw8sNHXd3d8fLy4t//vmHli1bAqlJ9smTJxXzA8+fP49araZatWr069cvwx7kzs7ODBw4kPHjx+c6FiGEKJTiIzOuNF7lfbDzBODvv//WFqcl2TVq1GDdunUYGBTaj3hZsnF0pni5Klz57wCRIY/Zu24J7w3I/POgk5MToaGhTDusp0y040Lh7Gqo8+EriFoIURi9nb+F30DffvsthoaGvP/++6SkpNC9e3fg2QJnGo2GsLAwDh8+zPLly/nggw8YMWKEog9di6FBatL1Mm+4np6eDB8+nN69ezNlyhTMzMz47rvvaN68uTbxziubN29mxYoV9OjRAzc3N+311K9fH1NTUwA+/PBD2rRpw7FjxxSLo+UFPz8/Ro8eTatWrdi6dSsXLlxg9erVOut6eHgwceJEhg8frl047cGDB/z+++98/vnndOjQIcvrgdTF3bZv387NmzczjcnX15ePPvqI5s2bs3nz5gwxpc3TPnToEAsWLABS/80HDx6MpaVlpvOz88KMGTPo1KkTDg4OlCtXjpkzZ1KrVi3Fl0VfffUV8fHxeTKtQQgh3iqnVkBC+mlqKvBO/SJTo9EoEm1IXb9FFpqEDsO+5PrZo6QkJeH313Jqv9MZR9eMC8cBVKpUCT09Pc49UnPkiRkNnNJNKTsyH2r0BwPd06GEECIrOc6+Vq1axdSpU7l37x6lS5dm2rRptG3bNtP6U6dOZcKECYqytDt9b7NSpUpluIv5zTffYGFhwYoVK6hcuTKlSpWiXLlyTJ8+HQMDA6ysrChbtiwHDx7MkDylr/u8evXq6Uy0XVxcMgzVrVChAikpKRnqzpkzh8qVK7Njxw6SkpIYOHAgH3/8saKOj48PRYoUUZQ1bdpUMTxfT0+PZs2aYWtrq/N56du3LyVKlOD3339nx44dlChRgv/++087TPnAgQPMnz+fJUuW4OXlxc6dO5k4caJirvrLxPHTTz9x48YN1q5di42NDUeOHFEM8W7YsKF2sTSACRMmULduXdavX8+vv/5KyZIlmTdvnnahrxddz6lTpxT7pj/Px8eHYcOGcerUKdasWYO1tXWGmFQqFUOGDOHcuXNUrlwZSH09dO7cGQ8Pj0znZ+eFdu3asXfvXpYtW8aZM2do3749o0aNUpyzatWqJCYmZtpHo0aNcjRnXQgh3grJCXD8ua0gy7UFh9S1RK5cucL169eB1Pfu0NBQtm7dqniPels5unrQuFN/9m/4hZSkJDYv/p5B3y7RWdfMzAwvLy+uXLnChH/D2d873VSwqAC4+AdU+0BnWyGEyIpKk4PJrbt27aJt27YsW7aMtm3bsmLFCsaNG8fx48czvWs2depUtm3bxvHjx3MdZFRUFNbW1oSEhCgW5AKIj4/nzp07eHp6KpItIXLKxsaGX375hZYtW2JlZZUv89/TS0xMpGfPnqxduzbTOd6i8P4fT0pKYseOHbRu3RpDQ8MXNxAil+S1VkCd/g22KkeuMXg/uKZ+3vr+++/56quvgNQvwz/88EPtyK/MBAUF8fW0ObjXb5ej/aazS61O4caNm5QuXQo9Pd1f8gbevMz23+bTdvA4XNw98zyGNAlPY5k+sBWRIY8BGDz1F8rVTt1RJSr0CfePbmHqF5/h4uLCBx98wO+//w5AzPwGmIdefNaRfWkYfgIyuR7xesjvNfGqhIaG4uDgQGRkZI7X58pRJvHjjz/Stm1b+vTpg62tLaNGjaJq1arMnTs3RycVQqSu2v3nn39Kki2EEEJJnQJH5yvLPBpqk+ykpCTFsPEOHTq8MMl+2xibmiv21t62fBZqtVpn3fTboB4zqK98MPQGXM3b9WCEEG+HbCfaGo2G48eP4+Pjoyhv1qwZR48ezbLt+fPnsbS0xNHRkffee4+LFy9mWV+I10HXkHMhhBDilbu6HUKfW7vDeySQuvNElSpVOHXqFJCaJMr0G92q+byHW5nUBVSDbl/jrN92nfXSJ9o7biRBkUrKCofnQB7tbiKEeHtke452dHQ0sbGxGbbDcnJy4tGjR5m2c3Z2Zvny5bz77rtERETw1Vdf4e3tzaVLl3TuYQ2QkJBAQkKC9jhtv+qkpCTt/pBpkpKS0Gg0qNXqTL+pFCI7Nm3ahEajITo6WvuaEq+fWq1Go9GQlJSUr/PNX7W032XP/04TIq/Ja62A0WjQPzxHcSdEU6QSye6N0CQm0rdvX65cuaJ9rG3bttn+t039zKT+/2emjOuxvKyUFLXib13Uag0aDaTkUwzPa9VvJL98OQiAXb/No1KD5v9/X1FrP1em36Ly/PkLJPcdgcHf6dZPeXiW5NuH0LjXy/d4RfbI7zXxqrzMa+ylVx1/fm/l5w0aNEj7s62tLStXrsTT05Nff/2VKVOm6Gwzbdo0Jk+enKHc19cXMzPlfoYGBgY4OzsTExOT5YJLQuTE83tXi9cnMTGRp0+fcvDgQZKTk193OHluz549rzsE8ZaQ11rBYB99Be+HZxRlp028Cdy5k02bNmmHjOvp6aHRaHB0dGTHjh3Z6jssLIyAgECS7tzBPCwyz2NPc/v27UwfCw64T1xcHPfv3yc2If9/p6ssnXAtU4XQh3cp26AVN2/dJj4miscBgezbtw87OzsgdaHeyMhITp06xbbbw2lh5Ih5YvCzuLdM4r8Sn+Z7vCJn5PeayG9xcXEvrpSJbCfalpaWmJubExwcrCgPDg7O0XBbIyMjypQpw40bNzKt88UXXyj2wI6KisLNzY0mTZroXAztwYMHWFhYFKqFksTrkXZH29LSMssvkMSrEx8fj6mpKY0aNSpU/8eTkpLYs2cPLVq0kIVcRL6S11rBor/uN8WxxqY4VXpOJHi/H2vWrNGWb9q0iVq1auHg4JDt96ugoCAOnfHHzdMTK3vHFzfIoZQUNbdv36ZEiRLo6+uenWimSsbfzAx3d3eKunvkeQy69Pt6FmaW1hibpm57FhUajOEjV5o1a4aLiwsANWvWZN++fSQkJFC3Xn1MnEbCnq+0fThHnqF13bJgV0LXKcQrJr/XxKsSGhqa67bZTrRVKhV169bF19dXsX/z/v37tXsCZ0diYiLXr1+nevXqmdYxNjbWuUCUoaFhhv9MKSkpqFQq9PT08n2VaFH4pQ0XT3tNiddPT08PlUql8/9/YVBYr0u8eeS1VgA8vgy39ymKVPU/ITDoMb169dK+R02aNIn27dvnuHtDQ0NUKr3/f2bKv6k4+vqZ96+np0KlAv18jiE9e2flVMXU9xU9xf+JWbNmYWRkROnSpVO3RLXtCwd/0O5jrkKD4eml0HrmK4lZZI/8XhP57WVeXznKJMaMGcO2bdtYtWoV4eHhzJkzh7NnzzJy5EhtnUmTJmFjY6M97tq1KwcPHiQ6Opo7d+7Qr18/IiIiGDJkSK6DFkIIIYQodI4vUh6b2ZNQvgudO3cmLCwMgDZt2jBhwoTXEFzhVqVKFcqVK5eaZAMYW0KNvspKZ9fA0/BXH5wQokDKUaL97rvvsmzZMr799lucnZ1ZtmwZf/31V6Z7aAOMHDmS7777Djc3Nxo0aEBcXBwnTpzAy8vrpYMXQgghhCgUYkPgwkZlWa1BjP1yImfOpM7ZLlmyJMOHD38NwRUeYY8D2b58NudPHn9x5dofgirdXfekODi9Mt9iE0IULjkeG9unTx9u3LhBQkICly5dol27dorHJ02aREREhPa4QYMG/Pvvv0RERPDw4UP++ecfKlas+NKBCyGEEEIUGqeWQ8qzHVfQN2JHsAsLFiwAUqfV9enTh1atWlGsWDHFPtoie57GRDFj0Huc3PM3F8/8p93VJlM2blChg7LsxBJIlsV3hRAvJpNQhU6ffvop3bt31x4PHDiQvn37ZtEid57vt3v37vn2bX1+XYMQQgjxUpIT4ORSZVnFLjh4VMDT0xOAuXPn8t9//wGpi5o5Ozu/6igLPFMLK6r6tAYgMTGBlStXKh7fs2cP33zzDZ06dXq2pU/d5z6TRAfB5X/yP1ghRIEnifZr4ODggIGBQaZ/crPASV5LSUkhJSUl0+Os9O3bl4EDB+b7eXIaQ171LYQQQuSpS5sg5rGyrO4wateuzZkzZ5g7dy7vv/++diujokWLUqdOndcQaMHXrMeHqFSpH3+XLFlCTEyM9rHly5fz7bff8vfff3Pt2rXUwmI14Pn9s4/9BBrNqwpZCFFASaL9Gjx+/Jj4+Hji4+PZuHEjKSkpBAYGasvexOFgy5cvZ9WqVdmqm5OENif95oSuGPLrXEIIIUSuaTQZF0HzaAgulQGwsbHh008/Zfv27SQmpg5Z7tSpk+yMkUuOrsWp1KA5AOHh4SxevFj7WOXKlbU/X7x48Vmjes/d1Q46D3cP52ucQoiCr3D9llarUxcTeZ1//r/1Rlb09fW1d6/T3ijTl73//vv07t2bQYMG4eDgQM2aNQFo1qwZEydOVPQ1fPhwxRBvgGXLllGhQgUsLCyoUKECCxcuRJPFN6/JycmMHj0aBwcHihUrRv/+/YmMjFTUGTx4MP3799ceHzlyBG9vb2xsbChTpgzfffedtp/ff/+dVatWaa/nxIkTdO/eXec1Pd8vpO6bPnDgQNzc3HBwcOCzzz4jOTlZ+/iLnofMYnj+XGq1milTpuDh4YG5uTk1atRg165din67d+9Onz59GDZsGMWLF6dIkSIMGzaMhIQEhBBCiJd27wg8uqAoSqmVcWeWv/76S/tz586d8z2swqxhh97an3/88UeePn0KKBPtCxfS/Zt4tQZbD2Un/y3JzxCFEIVAtvfRLhCehsHMkq83hrG3wNzhpbpISUlhzZo1TJs2jWvXrmm3S9N1l/b5sp9++olZs2axfPlyatasyfnz5+nRowdGRkYMHjxY5/mmT5/O+vXr+fvvvylbtiyzZ89m+vTpijfy9OdJSUmhXbt2jBw5km3bthEeHs7KlSs5evQoM2fO5NGjRxgYGLBs2TIADAwMcnRN69atY/z48Zw5c4Zr167RvXt3rK2tmTRpUraeh8xi+PnnnxXtZs6cyU8//cS6deuoWrUqy5Yto127dhw6dEg7JC8lJYXVq1czZ84cvvvuO+7cuUOrVq3w8vJSbGsnhBBC5MrxnxWHdyJhwEc/sub3Gri6ugIQERHB9u3bAXBycqJhw4avPMzCxNHVA49SXty9eY3Hjx+zdOlSPvnkEypVqqSto0i09fShzjDYNe5Z2dXtEPEgdcE0IYTQoXDd0S5EatWqxfjx47G3t0dfX//FDUi9Q/vtt98yY8YMmjRpgqWlJd7e3owdO5Zff/1VZxuNRsPs2bP55ptvaNiwIY6Ojnz//fdZbr8WERFBWFgYHTp0wMbGBk9PTyZPnkyjRo3Q09NDpVKhUqm0d5Nzek2lS5fm+++/x9HREW9vbyZOnMicOXNQZ2O0AJBlDOn98MMPfPXVVzRr1gx7e3s+//xz6tevz08//aSo5+Pjw8iRI7Gzs6NGjRp06dKFgwcPZisWIYQQIlNht1MTtnTmHI3H7+Ahxo8fry3766+/tCOp3n///Wx/LhCZq1KzrvbnGTNmkJCQgJubG9bW1sBziTZA1Z5gZPHsWKNOXSleCCEyIYn2Gyo3W6Ddv3+fJ0+e0KtXL0xMTDA2NsbIyIjRo0dz+/ZtnW2CgoIIDw+nVq1a2jKVSqU4fp69vT1dunShZcuWjB49mq1btxIXF5dn11SzZk1UKpX2uE6dOkRFRREYGJit9tnx8OFDwsPDqVu3rqK8Xr16zxZA+b8yZcooju3s7AgPD8+zWIQQQrylTvwCPJvaFRmvYcW5RFxdXZk7d662fM2aNdqfP/jgg1cYYOFl7+hEy5YtAQgICGDNmjWoVCrt8PGAgADCwsKeNTCxgirvKzs58xskxb+qkIUQBYwk2m8oIyOjbNVLP/c6bVj03r17iYmJITY2lri4OOLj43n8+HGW7dMntrqOn/fHH3+wYcMGTE1N+eabbyhRogSnT5/Osk12rymzWLK6o53VHPScnuv5vnQ9F7k9nxBCCAFAQgycW6soWno2kZhEWL16Nfb29gA8ePAAPz8/IPWL37Q1TsTLGzFiBABubm6YmJgAWSyIBlD7uSl4caHgvylfYxRCFFyFa462qV3qHOnXHUM+sbW1JSIiQlF28+ZNbG1tAfDw8MDGxoZ9+/Zle/5W0aJFsbKy4tSpU1SrVk1bfurUKcqXL59l20aNGtGoUSOmTp1K8+bN+fnnn1m6dCmGhoYvtY3W8wn7yZMnsbCwwM0tdR7Ui54H4IUxuLi4YG1tzcmTJ6ldu7biXM/fwRZCCCHy3IUNkBClPVRrNPz0XyKjRo2iSZMm2nKNRsOwYcPYsGEDvXr1euEX4SL7qlevzo4dO2jevDmGhoZAxgXRGjdu/KyBoxeU8IHbfs/KTixJvdMt/y5CiOcUrkRbT++lFyJ7kzVo0IBZs2bx0Ucf4eHhwapVq9i/f7920TJ9fX2+/vpr7R3mjh07Ehsby+7du7l+/TpTp07N0KdKpWLEiBF8++23VKtWDS8vL2bPns2VK1cyTbSvXLnCjz/+yIgRIyhfvjx3797lzp072g8G7u7ubN26lZiYGCwsLHT2kZVr164xadIkRo8ezfXr15k8eTKffPKJdoX2Fz0P2YlBpVIxZswYvvvuO6pVq0aVKlVYsWIFBw4c0N45EEIIUbhERkZma6pTfjIzM8Paygr+U66dsvVaMuau5fnuu+8U5e7u7ixatIi5c+fKjhf5oFWrVorjTFceT1N7iDLRDjoHAafALfMpd0KIt1PhSrQLuY8//pjLly9Tr149jI2Nad26Nd27d1dsfTV69GisrKz44YcfGDBgAE5OTrz77rsZtsNKb8KECYSEhODj44OJiQnNmzfn/fff1+7X+TwvLy+8vb3p168fly9fxt7enu7du/P5558D8OGHH+Lr64uTkxOJiYkcOXIkR9fZrVs3rl+/TokSJYiLi6NXr16K+LPzPGQnhi+++IK4uDg6duxISEgIZcuW5Y8//sjV/HghhBBvtsjISL6bMYfQ6NebaNtbmvFNz3pYBF9RlC85q2bNhjXaIczPMzIyyvYUrFchJTmJp7HRqP//3qunb4CRqelrjurlVaxYkYYNG1K5cmVatGiRsUKZd8HaHSLvPyv7b4kk2kKIDFSaAjDZNCoqCmtra0JCQrRzltLEx8dz584dPD09M31zepNpNBpSUlIUK2OnzUVOu4OblZzUzYnn+83teZKTkzEwMMi0fV6dJ6t2L4rh+X6ioqKwsrJCT09PZxu1Wo1Go5FVX1+Rgv5/PDNJSUns2LGD1q1ba4csCpEf5LWWKigoiK+nzcGugjcW1vk3zSsrMZFhhPkf5qeadzG9/a+2/FpICn+7fsX4L77I1/OnPQfu9dthZe/0wvoajYbggDs4uZVQlO9b/wvbl8/S2cbAyAS7IkWxK+KKo5sn7YaMQ1//2WecwJuX2f7bfNoOHoeLu+fLXVAuRYU+4f7RLUz94jNcXFy05Tdv3sTPz49BgwZl3cHhubA33Q0MPUP4zB8si+RPwCID+b0mXpXQ0FAcHByIjIzEysoqR23ljvZrlrYFVXo5STLzOsHOrN/cnift2jJrn1fnyardi2LIab/59ZwLIYTIfxbWdtlKMvOLWhWLyZ29irJdocUYO+9zRdmjR49Yu3Yt/fr1y3CTIT/FRIZx+YQfV074cevCSWIiw/j2z+OYWz1bB8XI1CzT9smJ8Tx5cJsnD27z6O4NOg77SvF4aNADkpN0j5h7nT766CMWL16MSqWiadOmlChRIvPK1fuA3zRI/v+K4+okOL0SfMZl3kYI8daRjEEIIYQQ4hVpbHIZlebZYp3Jesa0n7ghwyiphQsXMmbMGIoWLcqGDRvyNaaEp3Gc2ruZxeP6M7F7A9b/+AXnD/1LTGTq9lYPb11V1Lcr4opH+WqUq92YSg1aUKlBC8rX8cGzQnVsihTD0Dh1CHnRkuUynGv/xqXcPHOEdTPG8t+/fxEfF5Ov15Zdrq6uaDQa1Go1s2fPzrqymR1U6qIsO7UcUpLyL0AhRIEjd7SFEEIIIV4BPU0SjY2Vc7MNqn+AR9kqirLo6Gh++uknIHX4dv369fMlntCgBxz6Z3WmCa+JuSUlK9XEyNRcUV6hbhMq1G2Sob5ancKNGzcpVaokcVERJMY/VTweFx3JgxuXAAi4fpH1sy6yaeFUarXsSMMOvXEq9nqGkgMMGzaMadOmERsby/Lly5k0aRJqtZrY2Fg8PXXEVXsInH22vzkxj+DaDijf/tUFLYR4o0miLYQQQgjxCpSPPoK1njL5pNbgDPV++eUX7TaWvXr10m5vmZeSExOZN6Kb9q51GnsXNyp7t6Ri/eYUL1sFvVysR6JSqbC0zbgLjDolhdotOnL2wA5tEp4YH8eRLWs5smUtlRq0oGWv4bjquBOe3+zs7Bg4cCDz58/n6dOneHp6EhMTQ8eOHdm0Scde2S5VwK0OPDjxrOzUckm0hRBakmgLIYQQQmRTVFgw188cIejOddQpKRQpXopSVergUNT9hW0rBqxXTtor7g1FlFtpPn36VDt0WaVSMXbs2LwMX8vAyIiGHfuwc+VcDIyMqd6kDXXe7YxH+er5tle3hY0d3u17EREeSs3mHbh9/hin924hMSE16b54ZA8Xj+yhUoMWdB/1HWaW1vkSR2Y+/fRTFixYgEajITY2Fshki680NQcoE+3bfhB6C+xL5m+gQogCQRJtIYQQQogXSEpMwHfjUvZt+IWkhHjFYyqVigp1m9Ky13CKla6gs71V8Dm89B4oC2tnXN161qxZPHz4EIAOHTpQrtzL392NiIhg2rRp9O3bV1Hu3b4X+gYG1Hm3i2Kxs/ymUqkoWqIsNXxa8d6A0Rzf+QcHN60kKiwYgJCg+5iYWbyyeNKUKFGCtm3bsmXLFtI25bl16xYxMTFYWOiIp3x72DkO4iOelZ35DVpMeTUBCyHeaLIYmhBCCCFEFuJjY1g4pje7Vs3PkGRD6jzqS8f2sW/9kkz7sD+iTL40li5Qto2iLDAwkGnTpgGgr6/P1KlTXypujUbDmjVr8PLyYsaMGcybN0/xuKm5JU27DX6lSfbzzCytadptEF/+tpeOH32NpZ0j7YeMz9WQ9bwwYsSIDGWXLl3SXdnQFKr2VJadXQvJCfkQmRCioJFEWwghhBAiC38vmsr9q+cB0NPTx7t9LwZ/9ytDf1hJq34jsXYogqmFFR0/+lpn+wfnDtDM6r6iTFWjH+gr9/8dO3YscXFxQOriXOXLK4eV58TDhw9p1aoVvXv35smTJwBs2LCBpMQ3b2stACNjExp26M3Xq/ZRprpy8bfAW1dZOuFDIkMf53scTZs2pUIF5aiEixcvZt6gRn/lcVwIXNmaD5EJIQoaGTouhBBCCJGF9waO5sH1S0SHB/PhtOWK4eFlqtWjSdeBPL5/O8P+3FGhTzCxsELv32+w9H4271mj0udJsXdRBwVpy9avX8+6desAsLGxYejQoQSlezwntm3bxrhx4wgPD9eWtW7dmk8++YTfN+/KVZ+viqGRseJYrVbz14JJ3L18lh8/bEfXkd9S2btlvp1fpVIxYsQIPvzwQ21ZlvO0HcukzrW/d/hZ2emVGbf/EkK8dSTRFgXG4sWLCQ0N5auvvnrdoQghhHiLWNk58tGPq4gKfULREmUzPG5gaIRrSWV5bFQ4cz/pirGZGTvejQaeDYU+HVeUn+f/rqj/JCgQcwtLYmOiqVyrPrOX/JbjOBMTEjh+cB83r/pry0zNzWnQ5B2cPUvy2x9buHL9JsXqFZyhzRHBQYQ9CgAgNiqClVM+ofY7negw7Kt8m8fdq1cvNmzYwP79+4EXJNoANfsrE+27hyD4emoSLoR4a0mi/ZqsWbOG9evXA2BgYIC1tTXlypWjffv2uVr4ZNGiRURFRTF+/Pi8DvWNcenSJQICAl53GEIIId5CFtZ2WFjbZauuRqNhw+yviQh5RM2ielR3USaEJ+w74O7+rqLMHSjX4n38j/tSu2XHHMcXeOsKW+d+Q2TII21Z+To+tBk4Rrt696P7N0nwv0pyUnKO+39d7Iq4MvaXrfwxdyIXDv8LwH//buLWhZP0/XpepovPvQwzMzP27dtHsWLFCAwM5MKFC2g0msxXYy/XFszsIS70WdnplfDu93kemxCi4JBE+zW5evUqZ86c4ZdffkGj0RAaGsqhQ4eoVq0aQ4YMYd68eTnaXuPChQuEhITkY8RCCCHE2+P+tQu4liqPvn7OPyqpVCpqNGvP5RO+fFhDOQ/7QYw+5wyKY/roAYnx8XjVaKB9zMreCRfP3N0FPfjPKm2SbWJmQaePJ1CjWXvFZ4no8IL5OcHcypa+E+Zxas8/bFo4hYSncYQGPWDBqJ70GPU91Zq8ly/nrVy5MoGBgURERBAQEJD5fuYGxlD1Azg6/1nZ+d+h2TdgaJIvsQkh3nySaMfHQ2IiWFllfCwqCoyMwCR/fkmamZnRps2zFUf79etH//79adq0KV5eXgwfPhxIXbxk9erVAFhbW1O9enU++ugjTE1NgdS74zt37iQxMVHb33fffcfVq1ezbKdLZGQkP//8M+fPn8fe3p4ePXrg7e2drTgA5s6dS0pKCu7u7uzbt4/IyEi6du1Kp06d2LBhA1u3bsXIyIgBAwZo+03frlSpUuzYsYPo6Gi6d+9O+/bts3wO79y5w+LFi7l16xZubm7069ePKlWqZOt6hBBCCF0iQx/z06gPsHUqyrt9P6WaT+sc9+FWujxFbC15v2KKonzxf7EsPTQEAEs7R75etS/DvOTcaNVvJAE3LpOU8JQPxv+IXRHXl+7zTaJSqajVsiMlKtVk9bTR3L96nqSEeFZPG0Xg7au07jcyz1cqr1y5Mjt37sTQ0JBr165lnmgD1OinTLSfhsPlzVCle57GJIQoON7uVcfj42HNGlixAiIjlY9FRqaWr1mTWu8V8fb2pkOHDixevFhbVqNGDYYOHcrQoUN55513+Pvvv2nevLl2j8datWpRoUIFSpYsqa3n6ur6wna6tG3bln///Ze2bdtSuXJlvvnmG/z8/LIVB8C5c+eYNGkSy5Yto1GjRpQsWZLOnTvTsmVL1qxZQ+vWrbG3t6dp06bcvHlT0e7bb79l6tSp1K9fn7Jly9KtWzdWrVqVaaynT5+mVq1aJCcn061bN2xsbGjYsCH79u3L1vUIIYQQuuxb/wvJSYkEB97lwfUsVpzOgp1zMZZ/Nxxzo2d3lJNSNCw/m6Q9jg4L5tTezbnqX52iTOD19Q3oO2Eew2b8VuiS7PTsXdz4+Mc11H6ns7Zs/4ZfuO1/Os/P9eGHH7Js2TJatWrFxIkTXxBYSSjhoyw7vSLPYxJCFBxv9x3txESIjYXwcFi5Evr1A2vr1CR75crU8rR6+XRXW5c6derw119/oVar0dPTo1SpUpQqVUr7eOfOnXF2dubIkSN4e3vj5eWFu7s7ISEhijvkDg4OWbZ7Xnx8PIcOHeLs2bNUrVoVgMGDBxMVFQXwwjjSn3fr1q0YGqYOl9u7dy/37t3j8uXL6Ovr07NnT3bt2sXff//N2LFjte2Sk5P5999/sbNLnQNnaGjIl19+yQcffIC+jm+pR4wYwccff8ykSZO0Zfr6+kyYMIFmzZq98HqEEEKI50WGPubYjg0AGBmb0qTroNx1pNFQI2Knouh0cimSrELxKuuBvbMrjsU8crWC9pOAO6yYNJyen/+AW5lK2nJTc8vcxVrAGBgZ0X3Ud7iWLMfmxdNo1mMIpSrXzvPzeHh4MG/ePO1iaCdOnKBOnTqZN6jRH277PTu+fwyeXAGnnK+9I4Qo+N7uRNvKKjW5TkuqV66ETp1g06bUY1vb1Md1DSvPR2ZmZqjVauLj4zEzMyM5OZkNGzbg5+fHkydPSElJQaPRcOPGjSyHQee0nYmJCZUqVWLMmDGMHj0ab29vLC0tsba2zlF/NWvW1CbZAMWLF6dMmTKKZNnd3T3DtiX169fXJtkA7dq148svv+TBgwd4eHgo6sbExHDs2DE0Gg3nzp1Do9Gg0WgICgri2rVr2boeIYQQ4nnHtm8kJSn1rnODdj2xtLXPVT8u0RdxjLupKLtQpCOObr60HTwOF3fPXPX74Polfv1qMDGRYayY9DGfLfwLS1uHXPVVkKlUKhp26I1nheoULZk/iaxKpeLTTz9l4MCBAMyfP5+1a9dm3qDse2DuBLFPnpWdWgGtZ+RLfEKIN9vbPXQcUu9g9+uXmlSHh8OyZcok+zUkZQ8fPsTS0hIzMzMAhg0bxsSJEylfvjx9+vRh6NChWFlZERsbm2U/uWnn6+tL/fr1mTRpEkWKFKFDhw48evQoR/0ZGyvnmqlUKoyMjDKUqdVqRZnVc19opCXE6fcBTRMZGYlGo6Ft27YMGjSIwYMHM2TIECZOnKhdzf1F1yOEEEKkl5KcxPGdGwFQ6enh3b53jtqr1Wp2r1lIVFgwlR5vUjwWYeLKDaOXWyH7+pmjLBrbm5jIMABMraxRq1Ne0KpwK1a6Anp6yo+zF4/s5d7VF2zJlU3vv/8+9vapX7Zs3Lgx673N9Q2hWi9l2fn1kBiXJ7EIIQqWt/uOdhpr69Q72cuWPSvr1Om1JNkajYYtW7bQpEkTIPVNe+3atWzatIl3303dCiQxMTFD8vn8CuXZbfc8e3t7pkyZwpQpU3jy5AnvvvsukyZNYtGiRbnqLydu3bqlOE6bw128ePEMdZ2cnDAzM8PU1FQxXD6715N+DrwQQggB4H/cl6jQ1LuRFeo0wdbJJUftT+/dzK5V8zm7dRlffGIM6d6aLxbpiCY+9/c3zh3YwdofPiclOfVue4mKNRk45WdMLV7tqLs33fWzx1j1/Uj09Q0ZMGkhZarXf6n+Ll++TPny5Tl06BDJycksXbqUCRMmZN6gRl84PAf4//o1CZHgvyljAi6EKPTkjjakzsnepPzmmU2bMi6Qls+io6MZNmwY169f18471tPTw9jYmLt372rrTZ48mfjnFmhzdHTk8ePH2uPstksvODiYNWvWaBc3c3JywsnJicTExFz1l1Pnzp1jx44dACQlJfHDDz/w7rvvKoaTpzE0NKRv377MmDGDGzduaMsfPXrE77///sLrEUIIIZ53dOs67c/1276fo7bxsTFsW/YjAN1KJ2GkerZXdYrKAH+ntrmPa9t6Vn8/SptkV6zXjCHTlkmSrcOhv38jJSmJxPg4fv16COcP/ftS/fn6+nLo0CHt8ZIlS0hOzmIfclsPKNVMWXZKFkUT4m0kiXb6hc9sbWHgwGfDyFeuzNdkOygoiDZt2vDee+9Rr149nJ2d8ff3x8/Pj2rVqmnrTZs2jZEjR9KoUSPKlSvHrl27cHFRfsveuXNnzp8/T/369WnTpg3nz5/PVrv0zM3N+ffff3F1daVZs2Z4eXlx+/Ztvvzyy2zH8TJq1qzJp59+Sv369SldujSXL19m3rx5mdafNWsWTZo0oUqVKtSvX5/q1atTv3597TD1F12PEEIIkSb8yUOunz0KgH1Rd8pUb/CCFkq71y7U7lM9oqGt4rGbdj48Ncr4pXF2HN22nj/nT9R+aVz7nc70/WY+RsayP7Mufb6eR8X6zYHUqQCrv/uMC4f35Lq/ypUrK44DAwPZunVr1o1q9FceB56CR5dyHYMQomB6u4eOR0Upk+y0OdnPL5DWv3+eL4jWu3dv6tatC4CBgQFWVlaULVtW593boUOH0qZNG65evYq9vT1VqlTh4MGDigXCqlSpwt27d7l06RJRUVG4urpmq116ZmZmrF69midPnuDv74+trS2VK1fWzn3KTn+fffZZhu3Dxo0bl2HV8IkTJ2Jubq4o8/LyYtmyZfj7+xMdHU3dunUV872HDRvG06dPtcempqasXbuWwMBArly5goODA+XLl9cm2i+6HiGEECLNWb/t2p9rt+iYo/eKx/dvcfDv1O0oG5cwoZTFU8XjF5075SqmYzs28uf8Z9tKNek6kDaDxmaYLiaeMTQypu+EeWycM4GTuzehVqew+vvP6DdhPhXqNc1xf88n2gCLFi2iY8eOmTcq8y5YukB0uvncZ1dDqx9yfH4hRMH1difaRkaQluylX/gsfbJtbp5aL495eXnh5eWV7frFihWjWLFi2mMfH58Mdezs7GjUqFGO2z0vbYh1buKoUqVKhjbp786nqVWrls7+jY2NqV69us7HKlTQvYiMq6srrq6Z7xma1fUIIYQQACUr1abOu124cHg3VX3ey1Hbrb/OQJ2SOpz46w5ewB3tY+Em7jywrpmrmOJjo7U/S5Kdffr6BnQf9R1oNJzc8zcpyUmsnDqCARMXUq524xz1VaRIERwcHAgJCUFfX5+UlBT27t3L9evXKVOmTCYBGEDVD+DQj8/Kzq+H5pPBUEYiCPG2eLsTbRMT6NUrdZ/s5+9YW1un3sk2Mnqle2gLIYQQ4tUrXq4KxctVocuISegbGL64wf9dP3uMyyf8APB0LYKPVaB2HSyAi84dIJfJcZOuA1Gp9IgKeyJJdg7p6enRfdR3pCQnccZ3GylJSayY/DEDJ/+Mi2cmCbIOKpWKypUrs3//flJSUld4r1GjxosXg63WS5lox0fA1W1QqUsurkYIURDJGFoTk8yHhVtZSZL9inz22WeMGTPmdYchhBDiLZeTJFutVrP112d7JE/u0wADzbMFN5NVhi+1CBqAT5f+tBsyTpLsXNDT1+f9z3+gauNWACQnJbJiyifERITlqJ/0w8d/+uknTp06RZ06dbJuZOcJHg2VZWdX5+i8QoiCTRJt8UaoUqUKVatWfd1hCCGEENl2Zv8WAm9eBsC1ZFlaWd9WPH7TvinxhjbZ7u/6maPcOHc8L0N86+nrG/DBuJlU8m6JgaER74+djoVNzhamS59oJyQkZL9h9b7K49t+EH43R+cWQhRckmgLIYQQ4q0V/uQhp/dtIS4657uMGBgZY2nnCMCIgd1xeKpMtC8W6ZDtvh5cv8iKycP55atBnDu4M8exiMzpGxjS+4tZfDp/I1UavpPj9ukT7YsXL2a/Ybk2YGKtLDu7NsfnF0IUTIUm0X5+pWshROEg/7eFEPnprN8O1v4wlm+61uOs7/YXN0inaqNWfLniX3p+/gOtbJRJdoSJKwHWuhf3fF5w4F1+/WoICU/jSElK4qzfDvndl8cMDI1wLVkuQ3navOuslC9fXrsK/YULF4DU96ajR49y9erVzBsamkKlbsqyc2tB/eJzCiEKvgKfaKdtG5WYmPiCmkKIgijt//bzW8QJIURe8D+2DwC1OoViZXTvbpEVY1Nz6jVpiVewcq/mS07tQfXij1lRoU9YMn4AMZGp84ZLVKzJB+NmypzsV2DlypU0bdpUsXWoLqampnTr1o0PP/yQYcOGcf36dapVq0aDBg2YPn161iep3kd5HBUIt3xfMnIhREFQ4FcdNzAwwMzMjODgYAwNDWWPZPFS1Go1iYmJxMfHy2vpDaBWqwkODsbMzAwDgwL/60oI8YaJiQjj7uWzADi5lcDR1SNX/ZQJ2YuROk57rEaPy04v3iIsPi6GX74aTNjjQABcPMswcMrPGBnLQqz57cLpEyw/ehCAnj178ueff2b5he66deu0P8fFxXH//n0A1q9fz6xZs7C3t9fd0KUyuFSBoPPPys78BqWbv/xFCCHeaAX+k6tKpcLFxYU7d+5w79691x2OKOA0Gg1Pnz7F1NRU7ia8IfT09HB3d5d/DyFEnrt8wlc7RLti/WbZahP+5CF71v5M855DsSvimtr28WZFnbu29Yk1dsqyH3VKCmumjebh7dShx7ZFXBny/VJMLTLZCUXkqaJuHpibnyY2NpZ//vmHL774ghkzZry4IWBmZkb//v2ZPXs2CQkJrFixIuudU6r1Viba13ZCbAiYO7zkVQgh3mQFPtEGMDIyonTp0jJ8XLy0pKQkDh48SKNGjTA0zP4WLyL/GBkZyegCIUS+8P///tcAFeo2zVab3WsXcWLnH5zc+zf9vp5PwyqeFI2+oKhzqUj7F/azdelM7f7bphZWDPnuV6zti2Q7dvFyrKxt+PHHH/n4449JSUlh5syZFC1alO7du2erfadOnZg9ezaQuuXX+++/n+l7lcqpEUX0jVGl/H/FcnUSUYd/QVN3ONbW1jrbCCEKvkKRaEPqXS8T2fNavCR9fX2Sk5MxMTGRRFsIIQqxlJRkbpw9BoCZpQ3Fy1Z5YZvgwLuc/HcTAIaGxnhUqE6FxysVdWIN7bhj651lP+cP7uTAXysA0NM3oO+E+RRxL5mLqxC5ER8Xw4WLF0hRq6nt3YRjB/YCMHr0GPYe/o8iRYtl3vbpU2KiInEo4oyruweB9+9y7949Bnw0kmLFPTNtN8jcnXrGN7THMYeXMPdgAl99PkqSbSEKqUKTaAshhBBCZNf9q+eJj40GoEz1+uhlY8HFf1ctQP3/FaN9ugzA0sKc8ld3KOpccXoPtV7WH6+MjE0wMDQiOSmRzh9/Q5lq9XJ5FSI3khLiSVSrsC3fAK9m3Uk2suTknr9Rq1Pw3bOTIVN/xcbROUO7pd8MJeCGPybmloz7dTsNjWxZP+tLAO4GBFH//U8zPee1WA/qPfhCe1xUPwKb2DvExcVJoi1EISWJthBCCCHeOldPHtL+XLZm1negAYLuXOesX+r2X+bWtjTq1JcSYYcwSwpX1Lvk1O6FfZWr04QSFapx7cwR6r2XvaHKIu+ZW9liZe9Et8++JSLkETfOHiMuKoINc79mxJx1GJuaK+pb2TkB/sTHRpOclEiN5u3ZtWoBEcFB3Dh7lOSkROycdd8ND7drRniwG7bxD7Rl3kbX8vPyhBCvmUx8FEIIIcRb5+rpw9qfy9R4caK987d52oXTmnUfgomZBRWfKBdBC7SqSriZR7bO71G+Gu/0+jj7AYt8o29gSN+v52lXnQ+6fY0Ns7/OUK9Y6Wfbvz24fhF9fQPtFyUajYaj2zdkfhKVCv8ibRVFtY1vokqMefkLEEK8kXKVaN+7d49Dhw4RFBSUo3ZxcXHs3buXixcv5ua0QgghhBAvTaPRUL6OD+5lq1C0RFlsHLJehOz+tQtcOpo6j9fK3on6bXtikfAIj/BjinqZ3c1Wq9Xcvngqb4IX+cLM0poBkxdhYm6JjYMzjTv1y1DHLX2ifcMfgDrvdkHfIHVNlxO7/iA5i4V5Lzu2QZ3uo7eJKhmT27vy6AqEEG+aHA0dT0lJYcCAAfz555+ULVuWy5cv89FHHzFr1qxstf/oo49Ys2YNHTp04M8//8xVwEIIIYQQL0OlUvFOr495p9fHJCe9eMeS3WsWaX9u0XMYRsYmVHiwDRUabXmCvjnXHXTvjbxv/RJ2rpxLrRYd0WjUL38BIl8UcS/J4Km/4OjqgYWNXYbHi5V5lmgH/D/RtrJzpJpPa5KTkmjQtif6WSykGmvsyB3bBpQMfzZtwezqn9Dkkzy8CiHEmyJHifZPP/3Eli1bOH/+PKVKleLUqVM0aNCAOnXq0K1btyzbrl27lsuXL9O8ue43ISGEEEKIV83A0CjLxwNuXubyCV8AbBxdqPNuF9CoqfB4q6LeNYeWJOubZmh/5eRBdv02D4CTe//BvVy1PIpc5AfPCtUzfczavghWdo5EhQUTcMMfjUaDSqXi/bE/oFKpstX/pSLtFYm20eNz8OQqOJV92dCFEG+YHA0dX7lyJd26daNUqVIA1KxZk5YtW7Jy5cos2928eZMxY8awdu1aDAxk/TUhhBBCFAyxEWHYOhUFoGn3wRgYGuEeeRLrhIeKerr2zg4NesCa6WO0c7sbtHkfM0tZYbogUaekcHjLWu2Q8GKlKwLwNCaKkIf3AbKdZAPctW1ArKG9svDcmrwJVgjxRsl21pucnMylS5cYOnSoorx69er8+uuvmbZLTEykR48efPvtt5QuXTpb50pISCAhIUF7HBUVBUBSUhJJSUnZDVmIHEt7fcnrTOQ3ea2JV0Vea6mSkpLQaNTERkcSFxOJYzHPbCVIpavXY9yyHZz120HVRu+iVqdQ4ZFyEbRgs5IEmXnB/7f+AkiMf8qKycN5Gh0JQIV6TanVohM71ywkRa3WbhP2KqnVGjQa8u38KSlqxd+vI4bsyG4MMRFhrP1hLDfOHuPR3Rt0+ngCxcpU0I5wuHf1HPYume+5rfPcqPB3bEXth8+Sa8359SQ3+hL0Mx92LpTk95p4VV7mNZbtRDsmJobk5GTs7JRzVuzt7QkPD8+kFYwbNw43NzcGDRqU7aCmTZvG5MmTM5T7+vpiZmaW7X6EyK09e/a87hDEW0Jea+JVedtfa2FhYQQEBHI18G+O/b0MM2s7vLt+iGeV7O1hbeNRkbv3AzBXR1MyzFfxmK+qHjdu3lKU+a2dx8Pbqds3WTu5UqvjYO4HBhAXF8f9+/eJTUjOmwvLgeCA+6/k/Ldv337tMWQluzEEP7ilXcTu6LZ1mNi5YGLpoH38wvFDWBZ7NuQ7OSmR22ePcO34XloO/jLD9mBpopIrUzvdsSo2mDMbpvPIpsbLXdhb6G3/vSbyX1xcXK7bZjvRNjJKncP09OnTDCdPe+x5//33Hz///DMrV65k797U1TpDQkIwMjJi7969eHt7Y2JikqHdF198wahRo7THUVFRuLm50aRJE+zt7TPUFyKvJCUlsWfPHlq0aIFhFguaCPGy5LUmXhV5raUKCgri0Bl/Tp29AEBcZBily1XAs3SpHPVTLWgDhmHPkrNklSHB5XpT2vDZkPCTe/7h2vF9ABiZmDL4259xLl6KwJtX8Tczw93dnaLuHi9/UTlkpkrO1/OnpKi5ffs2JUqUQF9f9+zE/I4hO7IbQ+nSpTBIimHjnAkAHPljMUN/WAmAnr4BpsYGlE73+tmy5AcO/v0bAOG3L9CwQ+9Mei7F/bPlcI+/oi2pZXCNlNYTXuq63ibye028KqGhoblum+1E28zMDEdHRwICAhTlAQEBeHh46GyTnJyMt7c3S5cu1ZbdunULPT09pk+fztq1a3Um2sbGxhgbG2coNzQ0lP9M4pWQ15p4VeS1Jl6Vt/21lnrtKu74nwHAyMSM4mWroKenr7P+8Z1/UKJSTZyKeT4r1Gio9ES5CNotex8Sje20i948uneTv3/6Vvt410+nUNTTCwA9PRUqFejr6WV63vz0qs6vr595/6/7OchpDHVbdeOO/1lO7t5EwtM4/pw/iU/mrMe1VDmMjJWfYeu820WbaB/btp5GHftmOj3hnE0L3B89S7T1bu5BLz4MLLPeak4ove2/10T+e5nXV44WQ2vZsiWbNz+bl5SUlMS2bdto2bKltuz27dscOHAAgPr167N3717Fnzp16tCwYUP27t1LkSLyy0QIIYQQr0ZkeBgxEal3J0pUrJHpiuOhQQ/4c95EfhjUmr8WPJvKViTmMo5xNxV1n18E7Y9535CYkDr6r06rrtRopntvbVFwdBr+tfYLl8Cblznrtz1Dkg3g4lmGEpVqAfAk4A43zh3PtE9/y4YkaNLd79KkwIX1eRu4EOK1ylGiPWHCBK5evUrfvn35448/6Nq1KwkJCYwePVpbZ9WqVbRvn3HlTSGEEEKI1+nRw2ej8kpWqZ1pPb8/l6NWp6BRq7GwfTZlreLjLYp6kcYu3LeupSj74PMZuHtVxsWzDB0/+jqPIhevk7GpOX2+nqv9Yubw5tVcPLJXZ13vdj21Px/ZsjbTPhP1zTiZWEJZeHYNaDS6GwghCpwcJdpeXl6cOHECMzMzVq5ciYeHBydOnMDZ2Vlbp0SJEvj4+GTaR9WqValcuXKuAxZCCCGEyI3H6RLtEhVr6qwTExHGf7s3AanDy73b9QLAIOUpXiH/Kur6O7UFlfKjlJ1zMT6evZbB3y3VeddTFExFS5Sl/dAvtMfrZ39J+JOHGepVatACSztHAC4d20dE8KNM+zyc8Nze2SHXIeBk3gQshHjtcrypddmyZfn5558zfbxPnz706dMn08enTp2a01MKIYQQQry0tETbwMgYtzIVddY5vGUtSQnxANRp1QVzKxsAyoTuwzglVltPgwr/Im119mFgaISNg0yPK2zqt3mfG2ePc+HwvzyNjuSn0b2wdSrKx7OebdWlb2BIvdbd2L1mIRq1mmPb19Oq30id/d1IdibZqjgGUfeeFZ5dDW6Zj7YQQhQcObqjLYQQQghREAUGBhITHQVA8bJVdM7PTox/ypEtqUmTnp4+jTv10z5W4blh43dt6hJj7ExKchJ7fv+ZhKexiMJNpVLRfdRU7Iq4YmnrQPjjQG5fPElU6BNFvbqtu2sXWTu+8w+SkxIz65E4r47Kokt/Q6K8loQoDCTRFkIIIUShd+LECe3PJSrpHjZ+cvcmYqMiAKjauBV2RVwBsI27S7Gos4q6/v9fBO3f1T+xc+VcZn/UiYCbl/MhcvEmMbWwYtSiv6nVspO27Lb/aUUdG4ciVGrQHIDo8BAuHN6daX9Py3RQTj9IjIbLWzKtL4QoOCTRFkIIIUShFxERgaFR6l1sXfOz1Skp+P21QnvcpNsg7c8VntvSK87Ahlt2jbh14ST71i8BIPRRABq1Oj9CF28YM0trxZc1ty+ezlCnftvURdFUeno8unsj077UFs5Qspmy8Owa3ZWFEAVKjudoCyGEEEIUNAMGDOBmUDjGxSrgWaF6hscvHNlNaNADAMpUb4BryXIA6KmTKf9km6LuFafWxMY9Ze0PY9H8f5XoVv0+zXTetyh8PMtXQ6VSodFouHH2KL5/LKNJ14Hax0tVqUObQWMVIyMyVa0X3Nzz7PjeYQi9BfYl8yl6IcSrIHe0hRBCCPFW0NPTw8WjNEYmphkeO+u7Xftz03R3sz3DD2OeFKaoe9GpHX/On0REcBCQulVYky4DEW8PUwsrXDy9AHh8/xZbf53BhcPPkmWVSvU/9u46vKnrDeD4N0ndjQKF4u7u7jDcYbgz2I/Bhg4YbDAYEwYMGDaGjeE23N0dikuBAi1tqVvs90e2lEtbaKGCvJ/n4Vnuuefc+6ZL07w5Rp32fV6fZAMUbAy2bsqyC3+lZrhCiAwgibYQQgghPnrdxv5K19G/UK5eC/KXrmwuL+a/SVHvsWNxdh+/wvkDpsTc1sGJzsOnodZo0jVekfFenuu/5texCRZGSxYLayjRQVl24S8w6N8iOiFERpNEWwghhBAfPY3GgtK1P6HziGmoVCoA7GOfkev5MUW9k9bVWffbRPNxuy++xdUza7rGKt4NeYqVVRxHhoXw989jzNMJXqTXaQl8/CDpi5X+VHkc/hju7E+NMIUQGUQSbSGEEEJ80Bo2bEinTp24cPo4hhQsWFYk4B/UxNePU9syfuEOYqNM2y+Vr9+KUjUap3q84v2Q+4VEW2NhWvbo+pnDnNyx1lxuMBjYufw3vutah4Xj+ieahAOQpThkLaUsO78stUMWQqQjSbSFEEII8cGKiopi3759HDx4kDs3fFCrlR99YqIiEm9oNFAsQLnN0tHYAly5eAEA96zetPpsbFqELN4Tzu6ZyZQ9FwAGffwXMpvmTeF5wGPAtC7A7QsnCQsKIODhXW5dOJH0BUt3UR5f3wqRQakdthAinUiiLYQQQogP1smTJ9HpdABk9squOBcbHcXkbnX5Y8Ig7lw6rTiXPew8LjGPFGVPSw+mWd8RWFrb8OnIH7Gxd0jb4MU7r2brnrQcOIbh8zZToWEbAGKjIln189fm3uuqzTub6x/d8opFzoq3BY11/LFBC5fXpEncQoi0J4m2EEIIIT5Yhw8fNj/O8lKifWbPRiLDQrhybA+ndq1XnHt5EbQg21w8dSpJ7Xa9GbdsP7mKlE67oMV7o0rTjtRo1Z0sufLTYsBoXDyyAHDz/DGOb/0bgOJV6uHklgmAq8f2EvLsaeIXs3WFws2UZeeXQVLDzYUQ7zRJtIUQQgjxwXox0X6xR9toNHJ4Y/wc2BqtupkfW+vCyR+0T3GdK5lbwL+LpDm4vLQVkxCArb0jHYZNNh9vWTCNyLDnaCwsqdTEtKq4waA3J+CJenn4uP8VeHIxLcIVQqQxSbSFEEII8UHS6XQcP34cgKxZs+Lg6GQ+d/PsUQIe3gUgT/HyZMtb2Hyu4LOdWBhizcd61FzL1CSdohbvs4LlqlGpSQecPTLTfdxM7J1cAaj8SXvUatMWcCe2r0Gn0yZ+gdw1wdlbWXZ+eVqGLIRII5JoCyGEEOKDdP78eSIjTSuEV6hQwbxtF8ChjUvNj1/szQYo5q9cBG3jtThWL12EThuXhtGK95Vep+XulTPsWDqLG2eO0LzfCEbM/4dC5aqb6zi7Z6Z41XoAhD8P5Nqpg4lfTK2GUi9t9XV5NWhj0ip8IUQakURbCCGEEB+kF4eNV6xY0fz4md99c6Lj6ulF0cp1zOc8Im+SOfKa4jqLzsVx59JpVGr52CQSunf1HL8N+5Rdy3/j9O4N2Ng5YOvglKBe1ebxCfTpXRuSvmCpTsrjmFC4/k9qhSuESCfyF0MIIYQQH6SkEu1j/8TPka3avDMajYX5+OXe7EdhBvY+1NB5+FRFPSH+k7toGWzsHQG4dvoQ+peGhRuNRi4d2U3uomXJnDMfAA9uXCI4MCDxC7rmgtw1lGUyfFyI944k2kIIIYT44BiNRo4cOQKAq6srBQsWBEAbF2teYdzC0oqKjdqa22gMsRR+tl1xnT8vaGncYxie3nnSKXLxvtFYWJqHiUdHhHHv6jnzuZBnT5n/dR/+/HYwRzYtp2qzztjYO1KpcTusrG2Svmjprsrjuwcg5GEaRC+ESCuSaAshhBDig3Ty5En+/PNPJkyYgPrfYd9Xj+8jOjwUgFI1G5sXqwLIG3QQG12Y4hp7ogpS/aU53EK87MXpB1dP7Dc/DnrykBtnTF/4bPtzOnlLVOCbvw7RqNv/FIvzJVC4GVg7v1BghIsrUztsIUQakkRbCCGEEB8clUpFnjx56N69O//73//M5XZOLngXLA5AlabKubAv752939dA1YE/m5N0IZJSuHwN86riV4/vw/jv3td5S5SnWgtT77Q2NoaNcyZhZWP7+gta2kLxNsqy88vBYEjVuIUQaUf+cgghhBDio1GgdGWGzlrLV/M2k7NwKXO5U8xjcoaeUtS95NYED68c6RyheB/ZOTqTu3hZAAIf+5q3jgP4pNdQXD29ALh14QSndq5L3kVf3lM7xBd8j6RKvEKItCeJthBCCCE+Ol65Cyq2+yoasEVxPkyrhrqj0zss8R4rVqmu+fHFQzvMj61t7Wk7ZKL5ePP8Hwh/HkhMdBSzZs1i586diV/Qqwx4FlGWyaJoQrw3JNEWQgghxAfFz8+PESNGsHnzZoKDg19bX2XUU8RfmWhfc2+AwdIurUIUH6AS1RuaH5/bt8U8fBxMQ8vL1m0OmBZM2zD3e1YtnseUKVOYOnVq4hdUqRL2avtsMm33JYR450miLYQQQogPyoEDB/jxxx9p0aIFv/76KwAHDx7E//EjRfLznxwhp3CK81eU3c79aYJ6QryKq2dW8hQvD0DAo3v43fZRnG8xYDT2zqbF9+5ePo31v6uOHzhwgEuXLiV+0RIdQP3CtnK6GLiSzKHnQogMJYm2EEIIIT4oL+6fXb16dYxGI9988w1b163k91E9iYmKUNR/ee/sAPsCBDgUSpdYxYelYqO2lK3bnL6T5pM1dwHFOQdnN1p9NtZ8rNXFmR/PmDEj8Qvae0DBxsoyGT4uxHtBEm0hhBBCfFD+S7Q1Gg2VK1fm6NGj3Lx5EzDNl7WxczDX1frfJG/wAUX7K5lbpFus4sNSvn5LPh35I4Ur1ERjYZngfOlan1C4Qk0AsufIjYOD6bW4YsUKAgMDE7/oy3tq+50Ff5/E6woh3hmSaAshhBDigxEUFISPjykJKV26NA4ODixcuNB8vmzdZubHer2O6NWD0Bh15jKdyorrmRqlX8Dio6JSqWj7v4l0HjGN2o2b07lzZwBiY2OZP39+4o3y1gWHLMqyCyvSOFIhxNuSRFsIIYQQH4wjR+K3P6pevTphYWGsWbMGACsra4pUrG0+f3jDUlpnC1K0v+1em1gLp/QJVnyUXD2zUqB0ZQB69uxpXv1+zpw5aLXahA00FlBKuec7F/+GF4aeCyHePZJoCyGEEOKD8fL87L///puoqCgA8hQsjKWVNQBBTx7ybNdMimfWKNpfydw8/YIVHyxdXBzn9v/Db192IfjpoyTr5cyZk2bNTKMs/Pz8WL9+feIVS720+nhUINxKYlswIcQ7QRJtIYQQQnwwXky0q1Wrphg2XqBICQCMRiNrfh1P92LKFchDrb146FwufQIVH7RDG5ewfMqX3L18muPbVidZz2g0UrhwYfPxzJkzE6/okQ9yVFaWyaJoQrzTJNEWQgghxAchMjKSc+fOAVCoUCGePn3K6dOnAShWrBgenpkBOL1rPY+uHKNTMeViVVczNwOVfDQSb69cvZaoNaZtuU5sW0VsdGSi9VavXs0PP/xgPr506RJ+fn6JX7TUS1vO3doFYU9SJV4hROqTvyZCCCGE+CCcOHECnc60sFn16tVZtGiR+VynTqY5ruEhQWyaN5W2RSxxslaZzxtRcdWzafoGLD5YTm6ZKFP7EwAiw0I4sjnxxctatmxJwYIFzccTJ04kW7ZsiV+0aEuwtI8/Nhrg0t+pFbIQIpVJoi2EEEKID4KXlxfDhg2jfPnyVKtWjWXLlgFgbW1Nq1atANj+569ER4TRu7SyN/u+SyUirLMkuKYQb6pepwGo1KaP2gfWLEq0V9va2pp58+aZj7/99luePEmil9raEYq2UpadXw5GY+L1hRAZShJtIYQQQnwQChcuzM8//8ypU6fo0qULa9eu5dNPP6VLly64uLjge+cWPicPkN9NTY2cFoq2V2XvbJHKPL3zULpWfK/24Y2Jz6muWbMmPXv2BCA0NJShQ4cmfdHSLy2KFnQbHp5MlXiFEKlLEm0hhBBCfHDUajW1a9dm+fLlLFiwAICw0Oeo1Bp6vdSbHWXhwh23GhkRpvjA1e880NyrvWfl7zwPeJxovR9//BEPDw8AVq1axZo1a4iLS2T7rhyVwC2vsuz8slSNWQiROiTRFkIIIcQH7b99iouXqcCA7+bSt6Kz4vw1zyYY1JaJNRXirWTOkZcqTU3rA8TFRLFhzuRE67m7u/PTTz+Zjzt06GCe+qCgUiXs1b6yAWIjUi1mIUTqkERbCCGEEO+9K1eucP/+/dfWq54pFHfLGEXZVdk7W6ShJj2+wNHV1Ft95dgefE4dTLRet27dKF26NGDa9uvrr7/GmNj865KdlKvjayPBZ1Oqxy2EeDuSaAshhBDivTdixAhy585Nzpw5ad68OUuWLCEyMuHiU6VDdymOnzgUI8gub4J6QqQWWwcnWgwYDUDFxu3IX6pSovVUKhV//fWXeQSGv78/O3bsSFjRKSvkq68skz21hXjnWLy+ihBCCCHEu0un03HkyBEAwsLC2LJli/lf0aJFsbKyomvXrrioIikQcVrR9or0Zot0ULrWJzi6uJO/dGUAopOoV6hQIVq1asX69esBmDt3Lo0bN07kgl3g1s744wfHIPA2eORL5ciFEG9KerSFEEII8V47f/484eHhADg4OJjLK1WqxOTJkxk7diwtWrSgqtU11BjM5+PUttzwaJDu8YqPj0qlMifZL0psaPjKlSvJnj07AFu2bOHGjRsJL1igEdi5K8suJL5XtxAiY0iPthBCCCHeawcPxs95/W8P4kyZMrFixQr0ej0ADerXpYb1SkW7G5kaorWwT79AhXjB44e+1KlTh59++omyZcsqzvXs2ZPvvvsOgO+//56pU6cmaO+YtykOl5eYj/XnlhNQuBeok/fx3s7ODmdn59dXFEK8EUm0hRBCCPFeO3DggPnxf4l1oUKFOHz4MADFihVjWIvSeOxeoGh3OXOrdItRiBfdv3aBXVvWYdDrad68OYWKl6J4mQo4ODoBEBsbg4WlJTqtluXLV3Dtji/Fy1RQXCObJopvX8iTNVEBrPplOJe1OZIVg7ujHV+PGCrJthBpRBJtIYQQQry39Hq9OaG2sLBAp9MBcOrUKcC0n/aiRYtw9pmmaOdvXxB/h8LpG6wQ/7K0tMLK1p6YiDCMRiPXLp3nxtVL5CpcmnylKuKVpxAlazbh7J5NGAx6Th89SMEazclXQpls+92/SLaYm+bjBl5hhGZ7/boDEaHBBF09QlRUlCTaQqQRSbSFEEII8d66ePEiYWFhAOYk297e3rzi+JAhQ6hQOAfG7fsU7a5kbmnak1iIDODk7knOIqXxyJqD0zvWEhcbjUGv5+6VM9y9cibRNtsWT2fEgq1YWlmbVya/HteabHfjh5UXjDhJZidLoi1dXxtDcOo8FSFEEmQxNCGEEEK8t14cNv6f/5LsXLlymea5XliByqg3n9eqbbieqVF6hShEolQqNVWafcrY5fuo33kgbpmzJahjZWOLhaUVAMFPH7F35e/8s+gn5o3uze2LJ7nuUR+d2tpcX2PUUejZ9nR7DkKIpEmPthBCCCHeWy8uhPayefPmYW9rC2eXKMpveDQgzsIhiVZCpC8HZzca9/iCRt2H8OTeDXyvXcTvzjWe+d3H0dWDOh36Mn1QG/Q6LftWL8TRNRMhzx5z4+wRCpatRvXOlSkRdsB8vaL+WziftZOM2BAig0miLYQQQoj3lo2NDTY2NsTExCjKu3fvToMGDeDOPgjxVZy7nEUWQRPvHpVKhVeeQnjlKZTgXO12vdmz8nf0Oi0RIYHm8htnjzAm1oV/2sTXzRR1m8wR1/B3LJIeYQshkiBDx4UQQgjx3lq1ahVhYWHs27ePCRMm0LZtW7y8vPj5559NFc7+qaj/1Do3Tx2Kpn+gQryFep0H4pbFtLe2ThtH5U864uTuCcC2KyHcD1Hux100YHO6xyiEUEpxj3ZERASrV6/G19eX/Pnz0759e6ysrF7ZxtfXl+3btxMYGEiBAgVo0aIF1tbWr2wjhBBCCJEclpaW1K5dm9q1awOmOdr29vYQEQDXtyrqnnNpJENqxXvHytqGOu37snbmNwBcPrKLwdP/YsOcSdw4c4TFF2KZWMvGXL/gs50czPUFeo1NUpcUQqSxFPVoBwUFUa5cOebMmUNMTAzff/891apVIyoqKsk2M2fO5JNPPuHq1atER0fz3XffUaxYMfz9/d86eCGEEEKIl9nb25seXFgBBp25PNZowSWnWhkTlBBv4cqxPeYkG0zbcx1Yu5jeE+dSpGIt/rygxWCM79W20UeQL/hABkQqhPhPihLtyZMno9frOXToED/88AOHDx/mzp07zJ49O8k2tWvX5tKlS8yaNYvJkydz8uRJgoKCWLZs2VsHL4QQQoiPk8FgQKvVcuLECW7cuJFYBTi3VFF0Ji4PsRpZBE28f/KXroytg5P52NbRmdxFSmNhaUW3sTNQZyvF3rt6RZti/jJ8XIiMlKJEe/369bRr1w47OzsA3N3dadasGevXr0+yTfHixVGr429jMBgwGo04Ojq+YchCCCGE+NidOnUKFxcXqlSpQpEiRRg6dKh5H20A7h+G4LuKNgdjC6dzlEKkDmtbeyp/0sF8XKFBa8o3MC3qZ2VtQ5dRP7HcR/mxPkfoaZxiHqdrnEKIeMmeox0bG4uvry/58uVTlOfLl48tW7a8sq2/vz/Tp08nMjKSgwcP0qVLF3r27PnKe8XGxpqPw8LCANBqtWi12uSGLESK/ff6kteZSGvyWhPp5UN9re3YscM8dc1oNLJmzRqmTp2K8d/hs5ozfyh6E+Jc8nE7KBPeBgMGgz6RK6Y9g8GI0Qj6DIohre+v1xsU/82IGJLjfY2hStNOHFi7GINex+ndG2jYdTBWNrYAuHhmJajVVKINk7E1RJrbFPbfzHHvvonc34DRaHhvP1t/qO9r4t3zNq+xZCfa//0xc3JyUpQ7OzsTGRmZWBMzjUaDi4sLAHq9Hh8fH8LCwvDw8Ei0/pQpU5g4cWKC8v3795t704VIS7t3787oEMRHQl5rIr18aK+1l6egde/enR07dgBgpQ2j4TVlJ8A5VXEePXqM9t497IND0y3OFz179ICoqCgePHhAZKzu9Q3e0/vfvXs3yXMZ/TN432PIW6Yat04fICoshG1/LaBo9SYA6PU6NC45OBlRmVoxe8z1Cz7exLLomhhVyt7uyNBg/B/5sXfvXtzc3FLnSWWAD+19Tbx7XrUW2eskO9G2t7dHpVIRGqr84xQSEoKDw6vnO3l4eDBq1CgAJkyYQMmSJfnmm2+SnNs9evRohg0bZj4OCwvD29ub2rVr4+7untyQhUgxrVbL7t27qV+/PpaWlhkdjviAyWtNpJcP8bX2/PlzRTKXOXNmJkyYYD5Wn/gN9ZX4XkKjhQ3Zm3xJ9ttL8M6dGyf3TOkZrpmdSsdVOzty5MiBV45cH9z99XoDd+/eJU+ePGg0ic9OzOifwfseg12Pz5l++gAA1w5vpXbzDmxd9DNxsdH0GD+LhxFd4HJ8ou1uCKRO5lAeOJdXXCcs6BmWT7NRt25dsmbNmhpPKV19iO9r4t0UFBT0xm2TnWhbWVmRJ0+eBAuO3Lhxg8KFkz/nycbGhnLlynH16tUk61hbWye6/ZelpaX8Mol0Ia81kV7ktSbSy4f0Whs+fLjieOjQofHPzWCA88reblWRlmgcPFCp1KjVatRqTXqFqqBWq1CpQJNBMaTX/TWapK+f0T+D9z0G7/zFKFC6CjfPHyPoyUNmftGR0EDTTj4+Jw+grlSHZ3b5yRR1y9ymWMA/PHKt9NL91ahU6vf+feF9j1+8+97m9ZWixdDatWvH6tWrzXOmnzx5wj///EO7du3Mdfbs2aMY9n3kyBHFNUJCQjh8+DAlS5Z846CFEEII8XG6ceMGK1asMB+rVCq6du0aX+HeAQi+o2xUtnv6BCdEOqjdvo/5scbSyvx4w+xJxMZEc865nqJ+/qD9WOvC0i0+IYRJihLtUaNG4erqSsWKFenfvz+VK1emTJky9O/f31znyJEjTJ8+3Xw8ffp0qlWrxqBBg+jVqxcFCxYkR44cjB8/PvWehRBCCCE+eAaDgd69e6PXxw8Lr1mzJl5eXvGVTi9SNvIsAjkqp1OEQqS9AmWqkC1v/GjSPMXLAfA84DG7VszmrndrtAaV+byFMY6Cz3ale5xCfOySPXQcTAufnTx5ki1btvDgwQOaNWtG48aN0Wjih7zUq1fPvPAZwLp16zh//jwnT57E0tKSfv36UalSpUSuLoQQQgiRtDlz5nD06FFFWa9eveIPQh/BjW3KRuV7g0qFEB8KlUpF095fER0VTomqDQh6+pAf+zVDp43j4Lo/KVu3OVesS1Nae87cpqj/Zi5lbZuBUQvx8UlRog2mudpt2rRJ8ny1atWoVq2aoqx06dKULl065dEJIYQQQvyrRIkSeHp6EhAQAJjmzrVq1Sq+wtk/wfjC1lJWDlCiA0J8aAqWi/+snSlbLup27M/OZbMw6HWsmzmBSmMHUfp6fKKdJfIaHpG3CLTPnwHRCvFxStHQcSGEEEKIjFKjRg1q1qxpPq5Vq1b8zie6ODi7RNmgZEewdkzHCIXIGHU69MXDKycA966eY80pP4IMytd+Uf8tiTUVQqQRSbSFEEII8d5YtWoVV65coW/fvnz77bfxJ65vgcgAZeVyvdM3OCEySNDjBzTuPsR8vGXhL1xxb6CoUyhgG2qDNr1DE+KjJYm2EEIIId5Z4eHhGAzxw8FVKhVFixZl/vz5yjVfXl4ELWdVyFwknaIUImMEPXnIwnEDmNavKb7XL1K6dlMAosJDWHFNOUPUTh9KnuDDGRGmEB8lSbSFEEII8c7q0aMHtWrV4ubNm0lX8vcBX+UiaZSX3mzx4bO2tefWheMAnNi+hvqdPyNT9lx8OvJHCrX+ktuafIr6RQM2Z0SYQnyUJNEWQgghxDtp3bp1rF+/nsOHD1O/fn2Cg4MTr3jmpd5se08o1CztAxQigzm4uFGhoWmR4riYKC4f2cnIhdspW7c5KpWK27k7K+rnen4ch1j/jAhViI+OJNpCCCGEeOcEBwczaNAg8/HAgQPx8PCgYMGCzJs3L75ibDhc/FvZuGx3sLBKp0iFyFi12vREpTZ9pD+8cRk6bZz53G2PukQb438X1Bgo5r8p3WMU4mMkibYQQggh3jlDhw7F39/U89a8eXPOnDmD0Wjk5s2bLFu2LL7ipVUQFxF/rFJD2R7pG6wQGcg9qzclqzcCICI0mDO7N5jPaTV2nNKUVdQv5r8JlVGfrjEK8TGSRFsIIYQQ75QdO3awdOlSAJydnZkzZw67du0yn//ss89MD4zGhIugFWwCztnTK1Qh3gl12vcxP96/9g8Mej0RocEsnfwFX8zdrajrGBdAgYhT6R2iEB8dSbSFEEII8c4IDw+nf//+5uOffvqJu3fvEh4eDoBaraZ169amkw+OQ4CP8gLleqVXqEK8M7LnL0qB0lUA01Zfl47uwsLSintXz3HhqYGTj5Q92GVDtmdEmEJ8VCTRFkIIIcQ7Y/To0Tx48ACAunXr0rt3b3799Vfz+RIlSmBjY2M6OL1Q2dgtD+SpnU6RCvFuqf1Cr/a+VQuwtrWn5YAxAPx+Nk5RN1/kOTzUYekanxAfG0m0hRBCCPFOOHz4MLNnzwbAzs6O+fPnExsby7Zt28x1evToYXoQ7g8+L21VVK43qOWjjfg4FShThWz5THvHP7p1lXtXzlKiekMKla/BqitaQmKM5roqjNSwvpZRoQrxUZC/RkIIIYR4Jxw5csT8ePLkyeTJk4etW7cSExNjLjcPGz+3FAza+MYWNlBKuZWREB8TlUpFnXZ9yFGwBL0mzCZX0TKoVCraDB6PVm3NkovKXu1q1jdAH5fE1YQQb0sSbSGEEEK8E0aPHs3evXvp0KEDn3/+OQALF8YPD8+VKxfe3t6g18KZP5SNi7UFO7f0DFeId07Jmo0ZMnM1xarUQ/3v6A73rN40+PQz5p3RKuo6q6Oxub83I8IU4qNgkdEBCCGEEOLDFxoaSlRU1GvrFS5cmOnTpxMQEEBwcDC7d8evmNykSROePHmCze1tuIY/VrQLzNMC7ZMnSV7X398frVZ678SHTZ3E1IlabXtxZvdGDvn6UyNn/Md/O5+/oZosIChEWpBEWwghhBBpKjQ0lMnTphMU/vpE+0VBzwLQWFig15tWTL7v/5yxU6Yz2nEjrpbx9W5rMzNl4R5gT5LXioqM4NrN22SvHPsmT0GI95Zep8XC0oq2Qyby+5JeikTb+vFJeHYTMhXIwAiF+DBJoi2EEEKINBUVFUVQeBRuRavh4Kwc3r1z2W+4Zs5GuXotEvTG5QCKNurCuf3/4HfHh7Kt+uEdd5d8vv6Kehdy9iCHU41XxvD0wW1ir15Hp9WlynMS4l1mNBq5c/k0e1fOw9HVg84jfiBfyYrM1hfmWeQ9Mtm/8Lt29k9o9H2GxSrEh0oSbSGEEEKkCwdnN5zcPc3HN84c4fi2VQA8uH6RnhNmo1KpErRr8Oln5sfVbs5VnAu38sQvZ0uc1K/+SBP+PPBtQhfivaKNjeHPiZ8TFR6CWq2hUbfPccuSnaYDxrJ4SzdGVLWOr3zxL6g7DixtMy5gIT5AshiaEEIIIdJddGQ4q3752nxcsGzVRJPsF9nHBVIgUDk8/GLWthhek2QL8bGxsrGlWosuABgMevavNS0emKNQSVb5vrRoYPRz8NmU3iEK8cGTRFsIIYQQ6W7T71MICXwKQP5SlajctJP5nNFoxO/OdYxGo6JNiafr0Bjjh37r1NZcztwqfQIW4j1TvWUXrGzsADi5fQ1hwc9QqVRY5qvG7jsvTaF4eRV/IcRbk0RbCCGEEOnK5+QBTu1cB4C1nT0dvvxeMT/7vs95fh7YgjGtyrJ+9ndER4ajMcRR/Ol6xXWueTQixtIlPUMX4r1h7+RKlaYdAdBp4zi0YQkAZes044jVS2saPDwJT6+kd4hCfNAk0RZCCCFEuokMC2H19LHm4xb9R+OWOZuizpk9GwGIjYrkyKblXD6yi4KBu7DXBivqnffqmObxCvE+q9mmBxpL0xL9R7f8RXREGPlKVsSi3kiC4iwVdY1nFmdEiEJ8sCTRFkIIIUS62TD7O8KCnwFQqFx1KjZqqzivi4vjwsEd8QUqFUUq1qLU478V9R44lyPIPl+axyvE+8zZPTPl67cG/v3iavMKAAwqC47EFVHU1Z1bDrER6R6jEB8qSbSFEEIIkS4uH93Duf3/AGBj70j7oZMSLIDmc+oA0RGh5uO8xctTQP2QzJE3FPXOZ5XebCGSo077Pqj+nZpxaMMS4mKiATiiK4qB+N8/S0MM0Sf/zIgQhfggSaIthBBCiDRnNBo5tnWl+bjN59/gkilLgnpn9ihXPy5etR5l/VYoykKtvbjnVi1tAhXiA+PhlYNSNZsAEBn6nBPb12Aw6Ln5NJJb5FbUfb7rR3hpEUIhxJuRRFsIIYQQaU6lUtF97EzKN2hNmdpNKVunWYI6kWHPuXbqoKKsRtnC5A1Wlp3P2gGjSpOm8QrxIanboS8AeYqVI2vuAsTFxLBl9XI+X3ZZUc/LIoQbOxdlRIhCfHBk40khhBBCpAsbO3s6fTUFvV6X6PkLB7ej12nNx9nyFaGOdh8q4nvYYjQOXMncIs1jFeJD4pWnECPm/0OWXPkBCAsKwD1TZvbcfcqNQD0FPeK/uHq4fjz56vdEo5Evs4R4G9KjLYQQQoh0pdEk/j3/2b2bFcdVq1WjaMA/irLLWVqjtbBPs9iE+FD9l2Sbj7NlxwjMPq1VlNfKEsHSWd+nY2RCfJgk0RZCCCFEmoiKiqJ37948evTotXWf+fly3+e8oqxXMS0WhljzsV6l4ULW9qkepxAfoyzZvAFYcjGOWGP8l18WahWh+34lNjY2qaZCiGSQRFsIIYQQaWLEiBH88ccf1KtXj4f3776yrtGgp3jV+uZjL29vqkfvU9S54dGQCOvMaRKrEB8Lo9HI7UunuHvzOgBhsbDpnq2izudVHLGWkeNCvBWZoy2EEEKIVLdt2zZmz54NQFxcHI5Ozq+s7+mdhx7jZ/Hg2kWuntxPq6xPsdMpE+2z2T5Ns3iF+FisnfkNx7euAsDb25uHDx/y7c6ntB8YPyVDE/Mcrm6Ekh0yKEoh3n/Soy2EEEKIVBUQEEDPnj3Nx9988w0ubu6vbadSqchZpBRNegyhg6eyB9zXuQKB9gVSPVYhPjbFKtc1P46KigLgaoCeZw6FlRVPzU/PsIT44EiiLYQQQohUYzQa6dWrFwEBAQB88skndOvWLUXXyP38KO7R9xVlZ7N1Sa0QhfioFSpfA688hQAICgoyl2995qWs6HeGiJuHWLNmTXqGJ8QHQxJtIYQQQqSa6dOns3XrVgAyZcrEokWLUKlUSdaPi43h7L4txMVEm8vK+i1X1Am0y4uvS6W0CViIj4xKpaJGq+4Jyufu8wWnbIqy7RNb06FDB44dO5Ze4QnxwZBEWwghhBCp4tSpU4wcOdJ8vHTpUjJnfvXiZVeO7WHF1K/4uk15/pgwCM2NrXiHnVPUOev1KbwiWRdCpEzBslVx88hkPq5ZsyZ9+w+Ecr0U9ZrnjsPTDvr06SOrkAuRQpJoCyGEEOKthYSE0KFDB3Q6HQAjR46kUaNGr213evcGAPRaLVeO7SHX8W8U5yMsPbiRqWHqByzER0ylUlGqfBXzcWxsLL1794ayPUBjbS63tlAxoJwV165d4/vvZW9tIVJCEm0hhBBCvLUtW7Zw//59ACpXrsx333332jahQf7cPBc/JLVoJjXN8yt7rs9l64xebZWqsQohIGfe/BQqZJqrfeLECfbu3Qv2HlBCuVf9wHJWWGtgypQpXLlyJSNCFeK9JIm2EEIIId5a165d2bJlC/ny5WPlypVYWlq+ts3ZvZsxGgzm45FVlQl1jIUTlzK3TvVYhRCmXu0hQ4aYj7/99lvTg0oDFfUyO6joWMwSrVZLnz590Ov16RmmEO8tSbSFEEIIkSqaNm3KtWvXyJkz52vrGo1GTu/eaD7O5aKiU3Flcn4ha3u0FvYIIdJG06ZNzb3aVlZWbNmyhWinPJC7pqLeyJqOAJw8eZLZs2ene5xCvI8k0RZCCCHEGzEajQnKLCwsktX20a0r+PveNh8Pr2KNhTp+2Hic2pbzWTu8fZBCiCRpNBrmzJlD//79OXDgAM2bN+fEiRNQ6TNFvcKuOmrm1AAwZswYfH19MyJcId4rkmgLIYQQIsUMBgPt27dnzpw5iSbcr/Nib3YWBxW9Sit7sy9naUWMpctbRimEeJ3atWtTpUoV85DwQ4cOQf4G4JZHUW9GxwIAREZG0r9//zf6vRfiYyKJthBCCCFS7IcffmDt2rUMGjRIMc8zOXTaOM7v/+ffIxVDK1lhYxHfm61XWZi29BJCpIvq1aubHx8+fBjUaqionKtdwuYxVQplwd7enubNm6d3iEK8dyTRFkIIIUSK7N27l7FjxwKmBZU++eSTFLX3OXmQyLAQAFxsjAwsp1wEzcfzEyKtPVMlViHE6+XKlYts2bIBpkT78OHDUKozWDub66gwsuarely+fJnPPvsMlextL8QrSaIthBBCiGR79OgRHTt2xPDvauETJkygYcOU7XPtXaAYDboMxtbBmcEVrHC0jv/AbkDNmWzdUjVmIcSrqVQqypUrB0BcXByDBw/GaGUPZZW/i17++8id1S0jQhTivSOJthBCCCGSJTY2lnbt2hEYGAhA48aNzT3bKeHqmZVG3T7n2z82MrKWi+LcLY+6hNjmSI1whRApUL9+ffPjS5cusXPnTqjQD1QvpAtxEXBuqaJdUFBQeoUoxHtFEm0hhBBCvJbRaGTAgAGmFYkxDTVdvnw5avWbf5SoHL4dB1WMouxU9h5vE6YQ4g3VrKnc0mvcuHEYnb2hcDNlxRNzQa8lIiKCQYMGUaBAAZ48eZKOkQrxfpBEWwghhBCvNWPGDP78808AbG1tWb9+PW5ubz6E1EoXQVm/FYqyW261CLQv8DZhCiHeUJEiRXBxcTEfnzlzhi1btkDlz5UVw/zgyjrGjh3LnDlzCA4OZsCAAbIKuRAvSd5ml0II8Z4JDQ0lKioqw+5vZ2eHs7Pz6ysK8R7YvXs3X375pfl48eLFlC5dOsXXeep7myObV1CxUVuaaHdgow9XnD+Ro+9bxyqEeDNqtZrq1aubkut/jR8/nqbnzqHOURkeHI+vfHQm48ZuZuXKlQQEBLB5s+lx586dMyById5NKU60z549y88//4yvry/58+dn9OjRFCxYMMn6YWFhzJs3j4MHD6LVailfvjxDhw7F3d39rQIXQoikhIaGMnnadILCMy7Rdne04+sRQyXZFh+ELFmykDNnTu7du8fXX39Nhw4d3ug6Z/Zs4syejZxe/zvDh7nAC4uN33KvLb3ZQmSw/xJtGxsbYmJiuHjxIuvXr6dtlf8pE+2Aq7iHXOD333+ndevWAHz++efUqVOHLFmyZFD0QrxbUpRoX758merVq9OnTx969uzJ0qVLqVKlChcuXMDb2zvRNrVq1aJ+/foMGDAAjUbD999/z5o1azh9+jROTk6p8iSEEOJFUVFRBIVH4Va0Gg7O6b86akRoMEFXjxAVFSWJtvggFC9enFOnTjF79mzGjRv3RtfQabVcPrYHgKFVbHG2MijOn/CW3mwhMlrv3r3p1asXp06dokmTJgB88803tLp4AY1HAQi8GV/56Axadd9Cx44d+fvvvwkODmbgwIGsX79etv4SghQm2t999x3lypVj5syZANStW5eCBQvy008/MWPGjETbHDlyBDs7O/NxhQoVyJQpE9u3b3/jb8SFECI5HJzdcHLPmL14gzPkrkKkHQ8PD7755ps3bn//zk1ioyJwtoYvKloqzt10r0ugff63DVEI8Zb+W3ehUaNGVK5cmePHj+Pj48Oq1WvoXHkwbPlffOV7h+DxBWbNmsXevXt59uwZGzduZNWqVXTs2DGDnoEQ744UJdp79+5lxIgR5mO1Wk2TJk3Yu3dvkm1eTLIBbGxs0Gg0aLXaFIYqhBDvAKMB5xg/MkXewjnWD/u4QOzjAnGIe4ZdXBCWhhjQa8ElGvvFf5naWDuCjTPYupj+a++B2jkXWUNCISAXeBYAS9uMfFZCKBiNRpYuXUrHjh2xtrZOlWve9LkMwBeVrHF+6ZInvPukyj2EEKlDpVLx3XffUa9ePQDOnz9P53bfwb5JEBkQX/HYTDza/sHcuXNp27YtAIMGDaJmzZpkzZo1I0IX4p2R7EQ7MjKS4OBgvLy8FOVeXl48ePAg2TecMmUKNjY2ir36XhYbG0tsbKz5OCwsDACtVisJukhT/72+5HX2ftNqtRiNBgwGAwaD/q2u5RAbQI6wM3iFXyZT5C08ou5gZYh+fUM1EPfvtkVx4RD+WHFaA1QAWDALAKNrbozZK2DMXh5D9grgURDUmreKXQh4s/e1n3/+mdGjR/PHH3+wZs0aXF1d3yqGmzdv8tTvIS42MLSyMsu+4V6XZ7a54S1/V1/HYDBiNII+Fd4X3tcY0vr+er1B8d+MiCE5JAYwGAwYjYZXfrauXr06o0aNonXr1pQqVQotoC7fF82ByeY6xqsb0dX8mubNm9OmTRvWrVtHcHAwvXv3ZuPGjWk2hFw+r4n08javsWQn2v/d5OVvtm1tbZMdwKpVq5g6dSorVqwgc+bMSdabMmUKEydOTFC+f//+BD3kQqSF3bt3Z3QI4i0EBwfz6JEf2nv3sA8OTVFbK2MMheOuUFh7lULaK2TRp8/eoKrn91A9vweXV6EBtGpbAh2L8NS5NE+dShFnKWtaiLeT3Pe1o0eP8uOPPwJw6NAhfvnlFypXrvxW954/fz4Aw6soe7MNRvhbX58nt26/1fWT49mjB0RFRfHgwQMiY3Vpfr93MYb0uv/du3czPIZXkRggMjQY/0d+7N27N8E2fSEhIaxYsQIfHx+KFStGpUqVePzY9GWxpS47DdTWWBhMHWIqo54Hq0dxJXsXWrRowd69ewkJCeHBgwesW7cuzT+3y+c1kdbeZgebZCfajo6OWFpaEhQUpCgPDAxM1gri69evp1u3bsydO/e1c7NHjx7NsGHDzMdhYWF4e3tTu3ZtWa1cpCmtVsvu3bupX78+lpaWr28g3klPnjzh8LmreOfOjZN7ptfW1xhiyf38OAWD9pD3+RHT8O8MZmmIJmvoWbKGnsWICmP28hjzN8JQtDU4Z8/o8MR7JCXva8ePHzevwwIwYcIExowZ81b31+l09O3bl6wOKr6oZKU4d82lFg6Fa5Ees7PtVDqu2tmRI0cOvHLkSoc7vnsxpPX99XoDd+/eJU+ePGg06gyJITkkBggLeobl02zUrVs3wRDvyMhI+vTpg06nw9HR0bwo2n9UNhfg9DzzcZ6QI+To8hvYueHs7My1a9cYMmQIGk3ajcqSz2sivbyc+6ZEshNtjUZDyZIlOX36NAMHDjSXnzx5kjJlyryy7caNG+nUqROzZs2ib9/XrypqbW2d6JwwS0tL+WUS6UJea+83S0tLVCo1arUadVLDr41GsoZfosTTDeQNPoC1PjJF9wjR2xLuWoQIa08irDIRaeVBpJUHsRp7IsLDeXL1JL27dsLD3QNiwyA6BGJCTP8N88MQeIvYx1ex1T5/7b1UGFE9OgWPTqHZ/x3kqQmlPoVCTcFKRvmI5Hnd+9rNmzdp3bq1eepWz549GT9+/FsP/dy+fTvPnj1j7ic22FnGX0tngFN5Byf9O5rK1GoVKhVoXvW+8IHHkF7312iSvn5G/wwkhv/ur0alUif6vuDi4kKZMmU4deoU169fJzQ0FA8PD3Q6HX/++SetanfG/cxCMJqGvKu0UVieXQh1TEPImzdvnm7PQz6vibT2Nq+vFC2G1qdPH4YPH87QoUMpXrw4Bw8eZN++faxbt85cZ/78+axcuZL9+/cDsHnzZjp27MisWbPo16/fGwcqhBCpwUIfTaFnOyj5dC2ekTdf3wB4Hm1k/30dJ/30XHyq56K/AaN7JkYu+D3R+mGGAB7oHqLNUgaSWAxGr9Wya9s2mtSriWXoPXh0Bh6eNP0LedW6F0a4e8D0z9oJirWBigPAs1CynosQiXn48CH169c3f3Nfr1495s2blyrzK1etWkUBdzV9yig/rOyNLUqIbc63vr4QIvVVr16dU6dOAaYdhHLkyEGXLl24du0al//3P2bUaAOXV8c3ODUPqnwONgmnOen1+jTt3RbiXZX4uJ4k9OvXj549e1KuXDny5s1Lw4YNGTdunOKbq8ePH3P+/HnzcZcuXdBoNMyfP59y5cqZ//03X0sIIdKDfVwg1e/NoO/pJtS/8/0rk2y9Uc3hxxaM2hND+QURePwYTpvV0Uw7GsfOO3qeRhhxzeSVoN3Dm5eJi03hsHMre/AqDRX6QpuF8MVlGHYdWs6Fws3B0j7ptrFhcHYxzKkIy9vCnf1gNKbs/uKjFxgYSIMGDcwLm5YsWZK1a9emWi/RH3/8wdYvK2Ghjk/ao7RGLhQcmirXF0KkvurVq5sfHz58mCxZsnD//n0A5s6dy8Pc7ZUNYkLhzKIE1zly5AjFihXjwoULaRitEO+mFPVoq1QqZsyYwTfffIOfnx85cuTA2dlZUadfv360bNnSfHzgwAEMhoSrT768erkQInWEhoa+1cINKWU0Grl9+zZ37txBp9Ph5ORE+fLlyZMnT7rF8CoOsU8p/2gpxfw3YWGMS7KeERWPnEqz/YkrX8/ZSGBUfMLqmT03xas1IFeR0ji5ZQKMqDXKt8+QQH9+H9ULR1cP2gwe/3ZBO2WFUp1N/7QxcP8IXN8CVzZAbBKLu93ebfqXuRhU+R8UbyurlovXCg8Pp3Hjxly/fh2AfPnysXPnzgR/29+GdeAV8sVeUZT95Zcdq1olU+0eQojUVa1aNfPjw4cP8/PPPzNs2DAmT56MVqtl5E+L+at5U7j+T3yj47NNI6z+3a5y586dNG7cGKPRSNeuXTl9+jQ2Njbp/VSEyDApSrT/4+bmlmCFwv94eXkpkujXzd8WQqSe0NBQJk+bTlB4+iXaoc+DWbc84bfYRYoUoVevXnTv3h0PD490i+c/7upwmj6ZSamwvWiMSa/oGmrtxaUsrbmWqQmR1pmIzReJfulJiHpMnuLladh1MPlKVnztENp1M78hOiKM6IgwFk34jFr1m7yyfrJZ2kD+eqZ/jabC9a1wYYWp95pEeq/9r8CGfnD4J6g1Coq0AnWKBi+Jj4harTb/Pffy8mL37t2v3BUkxYxG2P2NoijGwom4DstS7x5CiFTn7u5OkSJF8PHx4dy5c0RERDBixAh+//13goKCWLlyJeP7/EWhFxPtyGdwbilU7A9A7dq1KVGiBBcvXuTKlSuMGzfOvKOBEB+DN0q0hRDvpqioKILCo3ArWg0H58S/DEttRqORXds2Ex78TFHu4+PDV199xYQJExg6dCjDhw/H0dEx7QOKDsHxxI9Mdl6FZWjie5MaUXHftTIXs7TjnkslUMe/FVrb2tN+6CTiYqIpVqVusueoNu0znJBAf/xu+xAXHcXuLevY2KiOYvHIt2Zpa+qpLt4WQh/BmcWmoXrRiSyoFngT1vYCz38T7kLNJOEWCdjb27N582Y+//xzhgwZQq5cuVLt2nq9Hs29/XD/sKL8VPYexFqkw3uBEOKtVK9eHR8fH/R6PcePH6d+/fqMGzeOL774AoD/TV3Mrq514M6++EZHZ0LZnmBhhZWVFcuXL6ds2bLExcXx888/07RpU2rWrJkxT0iIdCafuoT4ADk4u+Hk7pnq/xxcPQgJfKooc/bITO22vWnY7XOa9R1Bpcbt8PDMYo4lIiKC7777jmLFinHlypVXRP2WdHFw4neYWQqHi4uwVCVMsvUqCy5nbsniMuvYWGQGh4PdmDH0U0KePVXUK1i2KsWr1kvRQlCZc+Tl81/+onjV+oDpC4jPP/+cNWvWvN3zSopzdqg7Dob6wCe/gHu+xOsF+MDqbrCoHjw8lTaxiPeatbU18+fPp2jRoql63caNGnJvQQ9FWaiFBxeytk+8gRDinVKjRg3z48OHTV+YDRgwgNy5cwOmPaxP29ZSNgp7BJdWmQ+LFSvG5MmTAdPfxe7duxMamsQUKCE+MJJoCyGSxWg0smH2d8wa1pn7PucV52q17UnDLoOp3a43jbr9j+YdunL48GEGDBiAhYWpt1itVqdqb5nCzV2mBcF2jEy0d1ensuJ81vb8UXYDe/J9TYhNdo79s5KZQzrge+0Cy6d+hUGfeO93SljZ2NJ97AzK1GkGmHr0OnXqxO7du9/62knf1A7K94ZBp6HjX5ClROL1/M7CovqmXu5XrmouPmRarZb//e9/+Pr6pul9fHx8yB54iNy24YryLRaN0amskmglhHiXvLgg2rFjxwDTF3OTJk0yl/eb/CdG70rKhkemgyH+b+rQoUPNSbuvry8DBgzAKAt3io+AJNpCiGTZ89dcjm75C71Wy9JJX6CNi31l/bx58zJ37lyuX79OvXr1WLhwIQ4ODqkbVKgfrOoKf7WD4LsJTuvRcD5rB/4ot4kDeYYTYZ2F2OhIVkz9irUzJ6DTmhZH08ZGExWeOt+wqzUamvb+igJFipti0Otp164dPj4+qXL9pG+shkKfQP9D0GE5eCbRO3llHfxWHvZ+B3Ep2ztcvN+0Wq15u81atWqlabL95+8zmVLXWlF2NUBP9zGzuXR4Z5rdVwiRery9vfnll184cOAAW7ZsMZd37NjRvAbThQsX2BXz0he8wXfg6gbzoUajYenSpeZFFv/++2+WLFmS9k9AiAwmibYQ4rWuHN/L9iUzzMdNeg3F0sr6FS3i5c2bl127dlG3bl1F+cOHDxkxYgTR0dEpD0ivg2O/wewKcG1zolXOxOVmTp65HMjzFZFWpsXYnty7yfTBbTm3P37xlmotuvL5LytxcEm9Oe1qtZoqtRvQoEEDwLRI3SeffEJwcHCq3SNJKhUUbgYDjkDbxeCWN2EdXYxpsbTZleCmJD0fA51Ox6effsr69esBePLkCXfu3EmTe0VGRuJ1ZyWZHZQfMYbujMGAirwlKqTJfYUQqW/o0KHUrFkTW1tbc5larebnn38GTEn0yUAHyPrSLgKHfoIXdh3KmTMnCxYsMB8PHjyYmzeT3mZTiA+BJNpCiFcKCwpg1S9fm4+b9vmKcvVapugaL891NhgMdO/enR9//JFy5cqlbH/NJ5dgQS3Y9TXERSQ8n60cgS3+Ym5EA4KtsgEQFxvDvlULmP55GwIemnq+LW1safXZWOp06EtsTNRre+hTSq1WM3v2bEqXLg1Ahw4dcHFxSdV7vCYAKNYaPjsBDaeATSLbNYU+gL/aw6ouptEB4oMUHR3NtGnT2LhxI2Aa+rl582bq1KmTJvfbumwWn5VRDgvdfEPL7rt6vPIUStUvtYQQGaNWrVpMmTKFy5cvM/6bb6D6l8oKz66BzwZFUbt27ejduzdgGu2Vpuu2CPEOkFXHhRBJMhqNrPx5NJGhpnnPxSrXpXa7Pm993YsXL3L8+HHANJezQoUKTJ48mS+//BJ1Uitj67Vw+Gc49CMYEm7XFYktq58XZ+1pS/6XI/6t7XnAY/789n88vHlZUV8bE82GOZPYMCd+rpmVjR0jFvyDW+Zs5jL/B3d4cu8G7lm98fTOi7WtXbKfp729PVu2bGH//v106dIl2e1SlYUVVP4MSnaEA1Pg9CIwvjQf/doW03ZhdcZBhX6yOvkHJDQ0lObNm3PqlGkhvP+S7P9GW6Q2o9GIx7lfsfKK/3JNj4Yvd5m+FMtXUnqzhfhQjBo1Kv6gUDPTlKWAq/FlB36AIi1BrTEXzZgxg5CQECZOnJjqCzAK8a6RRFsIkaSLh7Zz48wRAJzcMtF+2KQUrcSdlNKlS3PmzBm6dOnChQsX0Gq1jBgxgvXr1zNv3jxKlHhpvtfTKxg3DkT19FKi11twLo5Re8IJjt4DQNOmzcznnj26nyDJTkpcTBR2Dsqe3yvH9rL1D9MQOZVKhVtWb7LmzI9X3kLkKFSSnIVKYu/kkuQ1s2XLlnFJ9ovs3KDJj1CuN2z9EnyPKM/HRZgWk7u6AVrMBo8kVjEX742AgAAaNWrE+fOmxQsdHBzYuHFjgmkcqenCul+o46WcDrI1yJvbwaYv6/KXrJRYMyHEO+zGjRvs2rWLY8eOsWzZMvMipwpqtWkrydVd48sCb5j+phRvay6yt7dn7dq16RC1EBlPEm0hRKJio6PYPO8H83HbIRNTdW/uokWLcuLECcaPH8+PP/6I0WjkxIkTlClTht69ezN+/HiyZc0CR3+F/VNQGbQJrnHZX8+ArTEce6jsoX36NH67rgJlqlC6dlMuH91NzkIlcfX0Qq1RAyp02ji0cbFoY2OIi44iOjIMazt7xbWC/R+ZHxuNRoIePyDo8QOuHN9rLvfMnpsilWrTvN/IZD33s2fPZtz2Jp6FoMc/cHEl7Pwaol+aN/7wBPxe1dS7XWmgoidCvD/u379PgwYNuHXrFgCOjo7s3LmTypUrp91N9TrcTv8E8VM5Mdp58PnvplXuraxt8MpbKO3uL4RIE+PGjTNvVTl06FAqVEg4MiU2NpYZW67xmX1uHCLvxZ84MBWKtnrt3xKdTpd4Ai/Ee0xe0UKIRO39ex4hgaaEtVD5GhStlPz5nHGxsfj7+yer7hdffEGlSpUYPnw4d+7cQa/XM3/+fHasXsSRYUXw1idcGVlnMPLLKdgQXIicVfIxJm9esmXLxp07dzhx4gSNGzdmzpK/zfXb/W8ibT//BlsHp2Q/h/+Urt0Ut8zZeeZ3jyf3b+F//zZxscoeu4BH9/B6ljCBuHXrFp6enmg08R8wlixZQv/+/XF0dGTKlCkpjidVqFRQqjMUaAS7x8P5ZcrzuhjTHHifTdByDnjkz5g4U0loaChRUVEZGoOdnZ15xd30sGHDBnOSnT17dkaNGkW5cuXS9J7+26aQ01b5c76TqzMP/E3TM7J550SjkY8dQrxv6tata0609+3blyDRfvDgAXXq1OHOnTv4NcjDjBe/zwu6BZfXQskOiV47NjaWUaNGcf36dbZu3Zr09DEh3kPyF08IkSgbe0ds7BzQxsXScuCYZA8Zj4mK4NLlS0ybvUixSmlSjEYjTx49QK/SoFarMRgMtCpkwcLmtrglkmTfDrPipwfFeGifBVtVFLd8/Thy/CRP/R6h15vmbg8ZPppYLMleOfbf5/Lm24rlK1GBfC+skmwwGAh++oiHN6/ge+0C969dwO+2D/lLV1G00+m0NG7cGDs7O5o2bUrr1q1p0KABf//9N7GxscTGxjJ16lTat2+PpaXlG8f3VuzcoMVvpvnbmwbB8/vK849Owe/VodH3ULanKUF/z4SGhjJ52nSCwjM20XZ3tOPrEUPTLdn+4osv8PX1ZceOHWzdujXtFx0Kf4r7xTnKsizFWXYlflG0bDlzp20MQog08eLCiXv37lXOzcb0ZZ6rqysAM3fdZUzVAmQ2xI8s4+BUKNYGEvmirXXr1mzbtg2A6dOn8+WXXyaoI8T7ShJtIUSi6rTvQ6XG7bh/7QKe2ZP/AVkbG0OcQYVrkap4Zs2eZL2YqAguHNrBmd0bCXxsSqhtLWB6Exv6l7VKUN+AmsW+Xny2zIc4/YFXxhAcEYOFtQqdNuGiaW9LrVbj4ZUDD68clK7VBABtXCzGF7YxAXj88AFRUVFERUXx559/8ueff+Lm5kaLFi3w8vLi8ePH3Llzh8GDB7NkyZJUmfv+xnJVg4HHYO+3cPJ35TldNPwzFG7thuazwN4jY2J8Q1FRUQSFR+FWtFqqTn1IiYjQYIKuHiEqKirdEm2VSsUvv/zChAkTsLe3T/tEe8coLHQvfZnR6Ae2tx9qPsyeQxJtId5H+fLlw9vbm4cPH3LkyBFiYmKwsbExn1er1fz2229UrlwZo9HI5+ses7rVCz3TwXfh8mrTSKqXfPHFF+ZEe/To0VSrVo2KFSum+XMSIj1Ioi2ESJKdozNFKtR8o7b2Tq44uXsmKI+JimDv3/M5smkZsdHxH8zzuanZ0NGBYpkSXivMOgvbC0zix39mEqdPeB5Mi7UVr9aAsnWaYWFpxbals94o7jeR2J7iNjY2NG3alP379xMZGQlAcHAwixcvBkyJkNFoZNmyZVSsWJFBgwalW7yJsrKHxj9AkRam3u3gu8rzN7bBnDPQci7kr5cxMb4FB2e3RF+P6SUtd1CPi4tj8ODBNGvWjGbN4hcCVKvVuLi4oNUmXN8gVd3cZVrw6EUlO0GuqvTr14/s2bPj5+eHncObjywRQmQclUpF3bp1+fPPP4mJieH48ePUrl1bUadixYr069ePefPmseZSBHcaZSevbVh8hYPToHg70ChHcNWvX58RI0Ywbdo0tFot7dq14/z587i7u6fHUxMiTclECCFEulJrLDi1a70iyR7QsDAXB7snmmTfcK/H8lJ/8dipJBUatKZOh35Ua9GVmq170KTnMLqO/oXRi3fxzcrDtBk8nlxFSmds7/C/PLNmY/78+QQGBrJlyxY6deqkGEpvNMYPqR0yZAhHjhxJ7DLpL2cVGHAUyieyjVtkAKxoA9tGgDY64XmR7p48eUL9+vVZsGABnTp14uLFi+kbQFykaRX7F9m6QgPTvOw+ffqwfv16NmzYkEhjIcT74sXdCvbu3Ztone+//x4PD9Oop8/XP1WefH4PLvyVaLtJkyZRrVo1AB4+fEiXLl0wvDRKTIj3kSTaQgizqPBQdq+YQ0Ro2vW/WVnbULdDXzSWllT7pB37p3VibiU/7FSxinpxalt25hvPtoLfE2vhCEDp2p/QtPeXtB40lhYDRlOvU39K1/6ETNlyvhPJdWL+69n+66+/8Pf3Z8mSJTRo0ECx4Iter6dt27b4+fkB8Pz584wK18TKDj75GTqtArtEhoqfmgfza8PTNB6OLF7pwIEDlC5dmkOHDgGmVXvv3r37mlap7OAPEPpAWdZgUoIpBu/q76cQInleTLR3796daB03Nzd+/PFHALbf1nEh8KX1Rw5MTfRLWktLS1atWoWnp2nU0Y4dO/j+++9TKXIhMo4k2kIIs+NbV7F9yQy+61Kb8/u3vvX1bp0/zswvOhIW/ExRXqlJB75fsIqVdQKoFZnwPoF2efmr5FJ8Mjd7LxfgSoqjoyPdunVj586d3Lt3j27dupm3W/L396d169bcunWLLFmy0KZNG44eParo+U53BRvBZ8chf4OE555dg4V14eyfkJExfoQMBgNTpkyhbt265tX9vby8OHDgAK1atUq/QJ5ewXjsN0WR1qsClPo0/WIQQqSLrFmzUqJECQBOnz5NYGBgovW6detm7p3+aluI8mT4Yzg5L9F2Xl5e/PXXX+YvocePH59kz7kQ7wtJtIUQAOi0cRzeuNT0OC6W7AWKvdW1Nv/+PXNH9uC+z3n+WfiT4nzuGB8GPfqS7GHnE7S9lqkxK0ss5rldrje+//sga9astG7dmrVr15IjRw4ALl26xJQpU4iLi2P9+vVUq1aNypUrs2bNGnS61F/YLVkcPKHzamjyE1jYKM/pYmDLEFjfF2LDMya+j0xwcDAtWrRgzJgx5qGV9erV4/z581SqVCn9AjEYYMsQVMb4RRO0BrBo9RuoVNy/f5/du3cTGxv7iosIId4njRo1AkxTn3bt2pVoHbVazZw5c9BoNOy9p2fvvZeGgB/5BaITH7VVt25dJk6caL5H586dzSO9hHgfSaIthADgwsFt5p7nYlXqkSlbzje6zp1Lp7l36RQ3zhwylz3zu482LhaMRko9/pu2Vz7DXhukaKdTWbI3z0h25J+ITvP6bcE+FJkyZWLz5s3kzp2bvXv3UqZMGbJmzWo+f/LkSdq3b0/+/Pn59ddfCQ/PgIRWpYIKfaH/IchSPOH5y2tgfi14ejndQ/uYbN++nWLFivHPP/8ApuHY48ePZ8eOHeYhl+nm5FzwO6MoupetFapMBQFYsWIFDRo0wM3Nja1b3350jBAi4zVr1ozmzZszZ84catWqlWS94sWLM3ToUCwtLbmbp5vyZEwoHPk1ybZjxoyhcePGABQoUECmnYj3miTaQggAjm5ZaX5cs02PFLePiYpg1S9fs/H379HrTKsc2zu70mHYZD6fvhIbCxX1bk+m9r2fUaNcOjzMOguriy/gUta2H9RQ8eQqWbIkN27coEqVKgwePJj79++zZMkS8zA9gPv37zN06FBy5szJhAkTCAoKesUV00imgtBnL1QcmPBc0G1YUBfOLJah5GkgJiaGAQMG8OTJEwDc3d3Zvn07EydORKPRpG8wz27AnomKIt8IC/L3mms+3r59O2DaXq1o0aLpGp4QIm1Uq1aNTZs2MXDgQLy8vF5Zd+LEiZw/f56+38yGoi9NaTn5O4Q9TrSdWq1m2bJlfPvtt+zbt++19xHiXSaJthACvzvX8L12AYCseQqSu2jZFLf/eWBLTu5Yay7LW7IiI+b/Q8VGbXHQPafNlc8oHrApQdv7LpVYUXIZ/o4f94dxS8v4RWOsrKzo2rUrgwcPZtu2beZv98G0UNrEiRNZuXJlYpdJexbW0HgqdFgO1i/tCa2PhX++gHV9ZCh5KrOxseGPP/4ATMM3L168SMOGDdM/EL0ONvQ3/b9+wb1iX6CyNI1Eef78OcePHwegUKFC5MqVK72jFEJkMDs7u/gv2eqMA/ULOwrrYkwLoyXB3d2dcePGKf4uCvE+kn20hRCK3uyqTTulaKjW2X1bWD19LNrYGAAsrW1w98pJq8ETcHT1IFPEDZpf+xKnOP8EbU949+GEdx+MqnTukUsGg8FAXEwUMZERWFha4eDipjjvc/IABr0OtYUlGo0FGgvTP7XGkpiIMEKCgwgICMDd3R0rK6sU33/s2LF8//331K1bl7///ht/f39+/PFHVqxYgZubG71791bUNxqNCf6/hYaGEhUVRZpwKYem9Tpc9gzF6tlLQ8avrEX38DTP68/AyrsMzs7OiV9DJCkoKIjw8HBFklq3bl2OHDlClSpVMm445ZFf4LFybYUlN+zoMm6M+Xjv3r3m+eP/zekUQnzE3PNCmW5w5o/4svPLoPJgyFQgWZcICgoiNDSUPHnypFGQQqQ+SbSF+MjFREZwbt8WAKxt7ShTp1mK2kdHhJmTbO8CxWjQZRBHt65GpVKRP3AvDW9NwNIQo2ijVduwI/9EbnvUSZ0n8YZunD2K3x0fQp75ExESSPjzIMKDnxEeEkRMZLh5xe9qLbrQetA4Rdulk74gLvbVe0mvX/EHixYtolevXuaye/fuMXjwYLJkyUJkZCR+fn54e3vj5eWFl5cXnp6ePHz4kF9++QUwJS2lSpVi2bJl/Pnnn0ycOJGbN28q9uQG+Oyzz4iMjGT06NEULlyY0NBQJk+bTlB4GiXa/9JQkbZ20MBGmWxbhPrisqYNmw21qPflHzi7uKRpHKlJFxeHxUtfjjwPeMLvo3pQqHwNarfrg4tH5jS5t8Fg4I8//mDUqFEULVqUAwcOKJLqqlWrpsl9k+XxBdN2Xi+4HqjHouF3iuHrO3bsMD/OkF53IUSa0mq1HD58mNOnTzNy5MjX1o+NjWXGKTWDdEbsrf59PzMaYN+3hDaa/dovhK9evUrv3r2xsrJi69atODo6otVqCQ4O5smTJ2/d821nZydfCIs0IYm2EB+5S0d2Ehdj+iNXtm5zbOwcUtS+arPOPLxxGbVGQ+vB4wl4cAcVRuqHrqb+w7UJ6odZZ2FT4Z8JtE/et9hvymg0Eh78jJCnD/B/cAdtbAz1P/1MUefwxqX4nDzw2mvFREYkKNNYWsJrEm0Al5cSzCdPnrBt2zbz8apVqxTnLS0tyZkzJyVLluT27dsEBQXh5+dHnTp1aN++PZMmTaJ+/fqKNg8fPmTRokVotVqWL19O27Zt6d+/P0HhUdjnKUNo4FMe3fbhyb2bBD99RHREOMNmr1NcIyTQH71Oi3uW7K99Ti87TiuCw4/T8sl0bAyR8c9FpaeNZi/R/3wG7eaBtWOKr52edNo4Dqz9g0MbljJs9npcMmUxn7vvc55nj+7z7NF9jm9dRe12vWnYZTDqVJwffe7cOQYNGsSJEycAOHToECtWrKBLly6pdo83po2BDQPAEL/6vc5gZNRJV9ZM724uMxqN7Ny5EzANd69Zs2a6hyqESFv169fn4MGDAHTu3Blvb+9X1j9w4AAjv/sFbR1rvq5uHX/i2hZWXLblbJhrkm2NRiNb1qwg0N+0PkX9Rp9Q95OWgJFHj/w4fO4qKtXbzYR1d7Tj6xFDJdkWqU4SbSE+cude2C+7fP3Wr63/cm+fSqWi/bBJaDSmtxMLYxw/lbxH/bBzCdr6OZViS8EfiLZyS3DubUWGPcf3+iUe3rjMrfPH8L1+iRunDpjP29g5UK/zQEXvoFsiSaW1rR0Orh7YO7pgY+eAtb0D3olsddagyyC0sbHo9VoMOh16vR6DXodepyU6IpyQR7fImzN7gvmpISEhr3weWq2W27dvc+fOHe7evUuvXr3Yv38/AKtXr2b16tW4u7tTsmRJ6tWrR/Xq1Xn69CmOjo4EBwdjNBpZs2YNa9aswdLSEq1Wm+h9HN0yKX4Wx7auYveK2RSuUIuGXQfhXSCR1cVf4Yl7C1ZkKccnN8aQJcJHcc729laYXxvaL4HM7+Zc/JBnT1kyaYh5rYJti3+h84hp5vOhgU/RWFii12nRxcWye8UcHly/RNcxv2Dn+HYfzm7fvs24ceP4+++/FeUdO3akTp2MHfVhtn+yae/0F0w5EkfjPmMVvUk+Pj48evQIgJo1ayYYeSGEeP/Vrl3bnGhv3ryZQYMGvbJ+w4YN6dSpE9PWr2RAWUvc7eIT48bs536Rn7B38Uiyfae8ZVkwti8xkRE8uHebu0+CqNm6B9p79/DOndu89/abiAgNJujqEaKioiTRFqlOEm0hPnJdRv3ExUPbuXP5NDkKlXhlXb871/njm4G0HTKRwuVrmMv/S7JttCH0e/4jebIm3CPzcuYW7MszEoM6dRc3uXvlDGtnTOCp761X1ouJiiA00F/RS1m2bgtyFymDi2dWnNwy4ejqgZVN8hKDmq17JHkuLCiAB8c2M2n0UMVWXWD6wPH06VMePHjA5s2byZ49O/7+/jx+/Bg/Pz8ePHjAnTt3cHd3J1euXOzevZtFixbx9ddfExgYCJjmqu3bt499+/aZr+vp6Un27NnNSQ6QaJKt1ljgkikLep0WC8v4L0xuXTiO0WjE5+R+rp0+SLXmn9Kk5zCsbe2S9fMACLPJxqriC6l+fxZlnry0WFvQLdOq5J/8DKU/TfY108PDm1dYMLYfESGmldxVajXWdg4YDAbzB7habXtRrn5L9q1awKENSzHoddw4e4Q5w7sx6Kdl2Do4pfi+jx8/5rvvvmPhwoWKfdILFizI7NmzqVu3buo8wbd1azccm6koinDMy3XPfIzo0UNR/l9vNsiwcSE+VC1btmTChAkAbNy48bWJNsBvv/3GwYMHmXgwkJmNbczluS2eUVl1kfvunZJs6+TuSbevf2XB2H4YDQYOrltM7mJlsPfIiZN7JtTqtxtZFPxWrYVImiTaQnzkHFzcqNr8U6o2f3Xyc/P8cRZPHERsVCRLvhvC4F9WkD1fEfN555hHtLw6BDftA0U7AxoO5h7Khazt32rrLl1cHHevnsU9S3bcs8YPU7N3ck00yVZrLPAuWII8RUuTJWd+suTKl2BBs5yFSpDzNV8upDaNRkPmzJlxc3Pj8ePHNGnSJMH8MqPRSFhYmLl+v379aN++PfXr1+fcuXPmhaZeFBAQ8Np75y5ahm5f/4pzIvOLi1epx/OnfoQEPsVoMHB44zLuXDpN72/n4uqZ/O1VDGpLDuYZxiPnMjS4OUExlBxdNGz6DB4cg8Y/glXyk/i0cu/qORZ83ZeYKNP0ANfM2egxbkaiPfoOzm407zeSIpVqs+S7/xEZ+pzHd6+zaPxA+k1ZhJW1TYI2SVm+fDn9+vUjOjp++oGHhwdjx45lwIABWFtbv6J1Ogp9BOv7Kcs0Vjh0Wc6KL4skqP7i/GxZCE2ID1OJEiXImTMnvr6+HDhwgJCQkATTpF7m5ubG4sWL+aRxQz4rb0khj/jkuO6zJSzN2QKtJum/CYXKVeeTXsP4Z+FPAKycNpIWQ6dB/nyp8pyESAuyvZcQ4rWuHt/HgrF9iY0yJU1ZcuVX9AxnCb9Cx0u9cItRJtmxGns2FPmVC14d3ijJjgx7zqmd61j0zUDGtq3I7yN7cHr3BkUdT+88OLl74l2wODXb9KTrmOn0/nYu+ctWo/2w72nWdwTlG7TCu0BxRQ/uu0ylUiUYwubi4sLp06eJi4tj+/bt9OnTh+HDhzNw4EBq1aqFp6enuW7btm3ZtGkTFWvUwdkj/v/TvavnmNi5Bt90rMa8Mb35Z9FPnN+/Ff8Hd6jRqjtfL91D0z5fYWFlSvIe373O9MFt8bujHDKcHHfcazEv1wzu6xIZDnh+OSysB4GvHoWQ1h7evML8Mb3NSXbuYmUZNnvda4fN5ytRgc9/+Qt7Z9O8wrtXzrB6+ljz4nnJUbx4cXOS7eDgwMSJE7l79y5Dhgx5d5JsvRbW9oLol/p76k2EzAmTbIBSpUqRP39+vL29KVSoUDoEKYRIbyqVipYtWwKg0+nYtCnh1p2JadCgAf0HDmLYTuX2gE66IMo9Wvra9rXb9aFUzSYAxEZHsWP+JCLDQlIUuxDpSXq0hRCvdOnIbpZO/gKD3jS0tWjlOnQd/Yt5iHWeoIM0ufk1lgblH84QjRtbiv9GoH3+FN0vLCiAS0d3c/nILu5cOo3BoFecv376MI26/c98rFKpGLt0ryKJ9rvtk3HbH6UxjUZDo0aNEu0tDAwM5OrVq+TJkwcLCwuKlixLg77jOPrPSvatmm+uFx78jBvBz7hx5oi5zMraFq+8hfh05I8UrVSHheMHEPT4AREhQfw+sgcDf1yKV+6CKYo1xCorU8Ja8Eu1aOx9/lKeDLgK82tBsxlQvG2KrpsanvndZ8HXfYmNNi0EWKB0FXpOmJ3sofKe3nnoN3khc4Z3JTY6inP7tlCkYi3K1G6qqKeLi+PK8b0E3bqhKC9ZsiQtW7YkV65cjBkzhkyZMqXOE0tNeyfCw5OKImOhpqgqDUyyybRp05g2bRrPnz//YH8HhRDQvn17ZsyYAcBff/1F9+7dX9PCZNq0aZTevYsdt/1olC8+DSn3eDlXsrQk3DpLkm1VKhUdhk0m4OFdHt+9TljgU5Z8N4QBU/94b75IFx8X6dEW4iO1b/UC1s2ayL2r55LsibtwcBtLJw0xJ9llajelx/hZ5iS71OO/aX59eIIk+3qYLbM9J6coyb557hi/j+zJxM41WP/bt9y6cEKRZDu4uFOuXktqtumZoK38gTXx8PCgZs2aihVgNRYW1GrTk84jfqBW217kL10ZeyeXBG3jYqPxvXYBBxc3MufIyxczV5OrSGkAIsNCmDmkI+f2bSEqPDRFMemwIKz6eGizCKxeWtE+LgLW9YZ/hplWtU4nkWEhLPi6HxGhpp7a3MXK0uvbuSmajw6m7ezaD50MQKmaTShSoZb53ON7N9gwdzITOlVn7cwJnD1xOMHv2fr165k+ffq7mWRf3wbHZimK7j43UPtXH06fOfPa5q6uSa8iLIR4/1WuXNm82OfevXvx9/dPVjs7OzuWL1/BiD1x6Azx74kWhliq3v/tte2tbe3o/e1cHF3dAbh7+TQXD+98TSshMob0aAvxETIYDBzdspLn/n4c37qKb1YewtFVOcT37L4t/DVtBMZ/5wOXr9+KDsMmm7YzMhqocX8GZR//leDaN6yK0eWkBXWKupOStCUs+Bk3zx9TlLln9aZEtQYUr9aAHAVLvNXKoh8zBxc3ytVraT42Go34XrvAzKGd4IXkT62x4OqJ/ZSq0Rh7J1f6TV7I5O71iAx7TlxMFMunfgWAW+ZsZMtXBK+8hcietwjZ8hXB2SPzq3swi7eFrCVhdXdTb/aLziwCvzPQbgm45U7Np54oaxs7chUpTeBjX7LkKkDviXNTNL/6RaVrNcHJLRN5ipfD/8EdLm/cxaUjuxIMtw8Lec7p06dp0aKFueyd7fF97gsbByiKYvXQbk0U555cyJiYhBDvFJVKRceOHZk6dSp6vZ41a9YwePDgZLUtX748HT6fwLxjkxhUPv6L8sKBO7mYtT1PnF69doqrpxc9xv/G3JE9adp7WIKRREK8KyTRFuIjdP/qOZ77+wFQoEyVBEn2xcM7FUl2xUZtaffFd6jVajT6GBrfGk/+oP0JrnvFszlLaUGkfk6S9w729+PUznUUKl+DXIVLmcuLV62HlbUtjm4elKndlJI1GpE1d8F3Nxl5j6lUKnIWLkWvCbPZvWIOD29eAUCv07J8ypfsXDqLmm16Uq5eC5zcPYkMU64iH+zvR7C/H5eP7jaXVWzcjg5DJynqaeOUIx3wyA999sD24aZ52i96chHm1YSWs6Fws9R7somwsLKi0/CpeBcoRrEqdd9qe664mGhunD3CmhnjCXh4N+G9LK0oXKEm2T3dKFeu3NuEnT5iw2FlJ4hRjlwYuiOac08MtG/fnvLlyydoFhoaSlRUVIJV9oUQH67OnTszdepUAFauXJnsRBtg9OjR/DIpgkjdQuzVceby2nd/YmXJxRhVr15JPGfhknSeMJ8SZcrJ5wTxzpJEW4iP0Nl9m82Py9RJmNTo4mJRocIIVP6kA20+n4BarcZW+5zm177EK/xygjZHcwzgVPZeGBJZOMtgMHD99CGObFrOjbNHMBqNBD15qEi0rW3t+WreZtyzessfzXSgUqkoVrkuRSvV4fqZw+xeMYf7PucB0/zltTO/Yfuf06nUuD3thnzLU99b+N25xuM713h897p5bvN/MmXLpTiOiYrg+x4NsHd05MG185QqVYoiRYpQuHBhCtf6HuccVWDrl6aVyP8TGwqrukClQVBvAlik3ZQAlUpF9ZZdU9RGGxdLREiQYhV2Cytrjm/9O8GCPNnyFqZCo7aUrdMMXVwsD45tfvdHZBj0sLZ3ghEHq310zD2jxcrKismTJyfadNWqVfTv358SJUrw888/U69evfSIWAiRgYoXL06VKlUoWbIk/fv3T1FbtVrNp33/x5ZfztPR/ri5PHPkNYo/3cClrK9fu8PW0SVBmV6nRWORutuICvGmJNEW4iOj08Zx8ZBpPpOVtS3Fqyb8QFy2bnOsbe3wOXXInGS7RD+glc8QXGIeKerqVRbszjeOa55NElwnJjKCU7vWc2TTcgIf+yrOXT66h7iYaMW+1R5eOVLjKb4T4mJjXzlnTavVEhwczJMnTxJs75Ua/P390WrjXltPpVJRuHwNCpWrzu0LJ9j911xuXzQtgBUZFsLVkwdo0msYuYqUMrfR6/X4XjtPWFAAj25fw++Oj+I8QMDDuxiNBiLCQtmzZw979uxRnPfy8qJucW+mlnmMl1WEMqgTs+HRKWi7GFy8SQ3Pnz1Bp9Piljnba+sajUYiQoJ55nePp/dv8/DWFR7dvMKT+7fwLlCMITNWmeuq1WrylazIpSO7yFWkNM4eWbh14QTZ8xeleosugGmBv/fCrrFwSznX8UG0LX02mV7HX331FfnyJb6Vzn/7Z1+6dAknp5TvKS6EeD8dOXLkrb4c3xdblLquj8gU99BcVtV3Drfc6xBt5faKlgldObaHLQt+ZMAPf+LqKaNrRMaTRFuIj8z1M4eJCg8BoFiVuljb2idar1iVehSrYkrCs4ZdpMW1L7HVKYeTxmgc+KfQNB66KIeSxsVEse/v37lybLd5S7D/uGXORsVGbSnfoLUiyf6QxERFcOnyJabNXoStbeLP0Wg08OiRH4fPXUWlSv2ezqjICK7dvE32yrGvr4wp4c5fujL5S1fm0a2rHFz/J+cPbKNWmx6KD1GRYSHM/7oPEcGBjFi41bzVysv0Oi3Z8hYm4MGdRBP+x48fs+zxY9bvg5DlPbDwWa+s8Og0odNKMvNRUR7bFyNr1qxkyZKFzJkz4+rqirOzM5kzZyZLlqRXqDXHotexevo4ngc8ps3g8eQuVhZ7J1fF4mePbl1l/9o/CHzsy7NH94mJDE/0Wn53rqHX69Bo4v98Nu45lFaDxqHWaPi+RwNiIsM5tXMd1Vp0IVvewq+N751wehGcUE75iNU4UHvBE8LjwNvbmzFjxiTaVKvVmr9IcXd3p2zZsmkerhDi3fC2I9D0aNiWeSDdH8a/v9jow6nuO5Nd+Sck+zoXD+1g6fdDMRoMLBjbj89/WYGtg3zpJzKWJNpCfGTO7n1h2Hjd5gAEPXnI47s3Eu3dzhe4j8Y3x2FhVCZLYdZZ2FjkV4Ls8irKAx7e4+5F5ZZAAPlLV6ZGy24UrlDTtKDaB0wbG0OcQYVrkap4Zs2eaB2DwYD23j28c+dOkyHFTx/cJvbqdXRaXYrbZs9flE9H/sgnvb9KsEL58u+H8fCGaerAr5+3p9PwKXgXKJ7gw1buomXpO2k+vkc3MahHR4KDg/Hx8eHatWv4+Phw48YNAgICcHTPgkW7P+Bsddg+CvTxXww4W+kZl+cSPx07zdcLYolT7vRGy5Yt2bBBua96oUKFeP78OUajEb1ej06nIyIiAsO/6w2s+GE4AD2/ma14vUdFhHF+/z9J/kxUajWZvfPiXaAYsVGRinndntnjF3Cr33kgWxZMw2g0sun3KQyctiTJa74z7uyDbcMVRUaNFe3Xa7n73LRY3i+//IK9feJfyp08eZKwsDAA6tevj+YD//0WQqSu+/Yl2fLYjWZeweayogFbuerZHD/nMsm6Rt4SFXDP4k3gY1+e3r/J4omD6ff9QtmVRGQoSbSF+IjEREZw9YRpETMHZzcKlqlCdGQ4C8cPwN/3Np/0+pI6HfqakiajkTKP/6LG/Rn/ztaO529fkE1FfiXSyiPBPTJlz4WVrR1x0VFYWttQtm4LqrfoQtbcBdLlOb5L7J1ccXL3TPScwaDHPjgUJ/dMqNWpn5iEPw9862u4eGROUGZj72h+7P/gNr9+3o6seQpSuuYnlKrZOMHwf5VKhZeXF2XLlqV+/fqKcxEREQQEBIBKBeV6QbayplXJn99T1PuqijV1c1vQeX001wMN5nJn54SLmAUEBPD8+fME5S+LjVYOV3dyy2SO19XTi0zZc5Mpey4yZctF9vxF8MpTOFnbf1Vv0ZVjW/8m6PEDbl88ya0LJ8iSI+9r22WYp1dgdQ8wKr/FWPysFJsvmHqpmzZtSps2bZK8xH/DxgEaNmyYJmEKId5tz58/Z9myZZw5c4YlS5akuKf7Zq3fCLvcGSfr+LI6d39gRckVGNSvT1ccXNzoO3kBM7/oQGToc25fPMmqX76m84hpsu6LyDCSaAvxEbl0dBe6f1eCLlWrCahULJ30Bf6+twE4vWs91Vp8io2NDTXv/ULpJ6sTXOOua1W2FfyeWKy5fGgHd6+epdXAr83nVSoVHtlyka9kJep36oe9k+yn+yGp06EvoUH+5oXTAJ7cvcGTuzfYtvgXsucvSsnqjShWpS62LyTliXFwcMDB4YW9tbOWhP4HYdNguLZZUbd0Vg2XB7uyS1WL/eG5CA0No0qVKgmumStXLnMCbjAYePjwoXn/aves3mTKlgtrO3ucPZRDzj28cjDqjx24enphaWWd4LrJZWFlRePuQ1g+5UsAdiyZQfexM974emkq6A4sa2VahO4FxupfcfmfYFSqvTg4ODB37txXflDdsWOH+bEk2kJ8nBo3bszJk6bRbL169aJWrVopaq/OlJ89bp1pHRm/bahH1F1KP1nJ2WzJW7gyU7ac9P72d+aO6I42Noazezfj6ulFk55DUxSLEKlFEm0hPiLXTx8yPy5TuxkbZk/ixtkjANg5utD7u3nYW2lofH0k+YIPJmh/KXNrduf8gjN7t7Pv7/kEPDL1PJar2xzvAsXN9ZzcM1OxcXtJsj9A3gWKMfiXv/ht2Kfc9zmX4PyjW1d5dOsq4c8DqdO+T8pvYOMM7ZfCqfmwa5xiKLmFUUsT426alPkEms8Ce/cEzc+dM8UUGxtL1apVefDgAQDFKtel54TZSSaMFpZWiiHgb6NUjcbs/msu/r63ue9znjuXTvHODV4MewzLWkLkSwu1FWmBqvbXTK+rpmPHjvj6+pI9e+LTHwACAwM5e/YsACVKlJDtvYT4SP3vf//j008/BWDy5MkpTrQBHpT8nHuH95JbE7+QaMX787jhUZ8I69evxwGQq3Apuoz6mT+/HYzRaGTPyt9xcHGnRqtuKY5HiLf1ju81IoRITV1G/cyAH/6kVtte+F6/yLF/VgKgsbCk5ze/kTOTA+2u9E80yT7k/Rk/3C/M1L4t+Pun0eYkG+D8gW3p9hxExlOr1XQe8QOW1jbmssqfdCB7vqLm48Llayja3Lhxgzx58tC1a1dmzZrFgQMHCAoKSvwGKhVU7A/99kOmRBYTu7EV5lYxzS1OwvDhw80JoJOLK037DE+34YNqjYaGXeP3k92/ZpG5V/2dEPYE/mwKIQ+U5TmrQqt58O+aARUrVqR9+/avvNTu3bvNz61Ro0ZpEq4Q4t3Xvn178uY1TZPZs2cPp06dSvE1jCoLTpSeiuGFt0trYqnpMxFS8B5avGo9Wg0aZz7eOHeyYn0aIdKL9GgL8RFRazQUKF0ZXVwsi74ZaC5vP3QS5fJlotWlXjjHPla00aksWaBvycRv1+D/4I7iXJ7i5anfaQAFylZNl/jFu8PDKwef9PqSjXNN+yrfOn+Cr+ZtJiwogGunDpKnRHmiw+OHJB85coR79+5x7949li9fbi7PmjUr+fPnJ2fOnOTMmZMiRYrQqVMn08nMRaHffnTbx2Bx7g9lABFPTcOeK/Qz7bltFb9Q17p165g1axYA1tbW1G7UDBu7xBfySislqjUka+4CPLl3E78713h0/x1ZfTzsCSxpCsHK32WylCC44WzcLFO2E4AMGxdCAFhYWDBy5Ej69esHwKhRo9i7d2+Kv+B86liMy54tKPlsk7msQNQZrvtt5E72Vsm+TrXmnxIREsSu5bMBWDPjGwqWrYaDS8q2DBPibUiiLcRH5vHd6yz7dwsMgHqdBtCyQk6aX+6NjS5MUTcSO7rusGXDiUWK8nwlK9Ko2//IU7xcusUt3j3VWnTh4qHt3Lt6jsDHvuxcNotmfYZTvaVpPl30C3UDAgKwsbEhJiZGcY0nT57w5MkT83GJEiXiE20AS1tq/nAKl2dRLG5hg6f9SwOxTs3Hd+9CRp9wokqn4Xz66af07t3bfDpz5swcP7iHCxcuYmltg4WlFXaOztg5uWLv7IKjizuumbORo2CJBCusvw21Wk3Drv/jz29NPdsXzyZciT/dhT6Ev9omTLLd83Ol9LdULliC8ePH89VXXyX7w7HBYMDKygoLCwuqVpUv3IT4mHXr1o2pU6dy9+5d9u/fz9q1a2nXrl2Kr3M0z//I8/wwjrr4Vchr3fuZJ541iLJKOGUoKQ27fk5k6HPO7NlIrwlzJMkW6U6GjgvxEfhvaGdYUAALxw0gNjoKgJI1GjHkkyK0vjooQZIdau3FFNVANpyIHyKeq0hpBv7wJ5/9uFSSbIFarab90EloLC0BCHh417yN1stGjx5NaGgoJ06cYP78+Xz++efUqlULDw/lyvXu7gk/RMXGxrLtlo4ScyPZfivhdmU5HQ0sr/ec8kHrcLW3ZtmyZbi6utK6dWsePHhAwJPH+F6/yO2LJ7l+5jDn9v/DkU3L2Ll0FmtnTmDB1315dPOK4pphwc+4fHQPIc+evuFPxzR8MWfhUlRo0Jo6jZq/8XVSg0PMYyyWfJJIkp2PkFYraPlpXyIiIhgxYgTz589P9nWXLVtGYGAge/bswdr6zReRE0K8/6ytrZk+fbr5+MsvvyQyMjLF14m1cGJ/vtGKMid1LLXv/pii66hUKlp9Npahs9eTv3TlFMchxNuSHm0hPgI7ls7kvs95chYqSWy06Y9ejoLF+bVLCWrdGpug/lOHwmwqPB03SzdyFFyHwaCncY8vKFSuumyTIRQy58hL836jsHN0pkztpq98fVhZWVGxYkUqVqyoKI+IiMDX1xdfX18s/03aX1S6dGlsbW2JjY1l9JUYzoY958uSYdi+8BdMrVJR0XgO5lahWdNfOH/+PAaDgfXr1yfrebi9tN/5rfPHzXtue3jlJF+pSuQvVYl8JSvi6Jq8HhWVSsXnv/xFREgQD45l3PxA1aPTVLs1GZUuXHnCLS/aTzfQpl1P7twxJeDlypWjR48eKbq+o6MjlSvLh1ghBDRr1oyGDRuyc+dOHj58yNChQ1P05d1/7rjX4oZHfQoG7jaXFQjay42gfVx3rMbTB7e4d/E04Y+uY2Nrj0e2XGTOkTfB3yC1RpPoQpcRocE4OEsPt0hbkmgL8YEzGAyc3bOJYH8/bl88yaCflrNn+UyWdc1FOb/fE9S/41qdbQUno9PYogL6TJqHvZOrJNgiSdVbdHmr9g4ODhQtWpSiRYsmen7BggUJC4PuwMbP4OEJZfnze7CsFTmLt4eG3+Pn58fX3/9C9kqf4ODshjYulqjwUCLDnhMVFkJY8DOCnz7CNZOX4jJ+d66ZHwc+9iXwsS8ntq1CpVKRq2gZSlRtQPGq9XDLkvSK3GD6kJehfDahWd8PC51yyD6eRTB2Wc9nX45n3z7TonKZMmVizZo10jMthHhjKpWKmTNnUrp0aaKioliwYAHt2rWjfv36Kb7W/jzDyRFyCltd/HoflS58Te+5kTwLi01Qv2SNRq/dTtFoNLJj6UxObl/DoJ+XY21jl+K4hEguGTouxAfuvs85gv39AChQpgoFCxdmazc3yoUkXCn8t1Nx/BzdGp0mfkEkB2c3SbLFu8c9L/TcBg0mY1AnsnnW5dXwWznsrq9Fo1ZhYWGJlY0t9k4uZMqWk1yFS1GkYi0qNW5Hk55DsbBSXqNopTrU7difPMXKobGI72U3Go3cu3KWTfOmMKlbXf6YMChFYcfExKTPCuQGAxz8EVZ3R/Vykp2tLPTYytdTZ7Fw4ULANORz48aN5MqVK1mXj4mJQadLOIxfCCEKFCjAnDlz0Gg0TJ06lbp1677RdaItXdmf5ytFWSYbHT/VSfwzyYs7XyTlyOYV7F4xh7DgZ8wd3p3nAY9f20aINyWJthAfuMMbl5of161Ti3aX+5Pn+ZEE9b7cFcPwgxaEPg9Mz/DEB+jq8X0smTQkyfnaqUatISBfe+qstuLIg0SSvpgQXA6NY7TTRrJFX0/RpfOWKM8nvYYx+JcVTFp3iv7fL6J2+z4JhiBmyZkvQdvEnrc2Lo7ffvuNHDlycODAgRTFkmIxYbC6K+yfBLyU1OetC902MWXGPKZMmWIuXrx4MVWqVEn2LRYtWoSnpyddunTh6tWrqRS4EOJD0b17d65evcrIkSNRq9883bjh0ZBDwcq1PLqVtKJNEWuKVG9MiwGjadjtc4pWqk2+UpUU9YxGIxEhwYqyMrU/IWueggCEBD5lyaQviAhXrlEjRGp541d+dHT06yu9wGg0EhISglarfdNbCiFS6Ob5Y1w8tBOA0tls+N7pbzJHKhOOGJ2R9utiOZ2lI2OW7KZcvZYZEKn4UPyz6CcWfTOQi4d2cGpX8uZHvymtVkvHjh05ePUxNRZH8YOPF0Yb5wT18loE0Mf3SxrdHIdDrH+K72Nta0fBctVo1mc4o/7YwciF22jScyjZ8hWhXL0Wirohz54yqWsdti2eTtCTh+byh/fv8P333/Ps2TMmTZqU8iebXI/Pw/yacP2fBKcMpbpi7PQ34yZNY8yYMeby2bNnK1d6T4YtW7bw/PlzVqxYIT3bQohEFSxYMEHZH3/8QWBg4l/ohzx7yoG1i80LtgKgUrE/32hCY5RfGs77xJKY2ycoUqk2DbsMpve3v5OzUAlFnZ3LfuPHAc15fDf+c4+9kysDpiwm879fkoY8e8L2DasUu18IkVpSnGjPmjULT09PHB0dyZ49OytWrHhl/eDgYH788UcKFCiAq6srq1ateuNghRDJ98zPl8UTTFsLNcyr4WA3a5y1AYo6gVEGBlwqQf6v/qHVwK9lYRDx1gqVr2F+vOevuTwPepYm9zEajfTp04f9+/cDkDlLFrr+uhfVoNNQrG2ibQo/20GPc22o9GA+VrqIN7535hx5qddpAF/O2YCndx7FuZM71xLy7Al7Vv7O5O71+H1UL66e2I937nzkyWOqu2/fPo4dO/bG90+UQQ/HZsHC+hB8V3HKqFJzxasj+ia/EBIeqdjH/IcffuCzzz5L0a3Cw8PNP3dvb29KlCjxmhZCCAFr1qyhd+/eeHl50bRpU7799lvOHj/MpvlT+bF/M77rUovN86dybr/yi0KnwjU4kG+EoszdTs3curHMH9Uz0d0hTu/awK7lvxEe/IzZw7vx9P4t8zlHV3cGTl1Mpmy5AAgPDaFNmzY8ePAg9Z+0+KilKNHesGEDX331FQsXLiQ6Oppvv/2W7t27c/To0STbrFu3Dn9/f7ZtSzgfVAiRNqIjwlk4rh+x0ZH0L2vJP53tcLRSfhvsG2HJvKzfU/LzP/DwypFBkYoPTb4SFajWwrSPtk4bx4Gd/6R4BFRyjBkzhqVLTdMirK2tWbduHV5eXuCYGdougi7rwC1vgnaWhlgqP1xAr7MtKfdoCRb61I0tIiQYtTp+AbSb546yZsZ41iyZT44c8b9nkydPTr2bBt6CxY1h11gwvDRqzNYVfcfV3MncBFQqXF1d2b17N1myZGHmzJmMGDEi8Wu+wu7du4mLiwOgadNXrzQvhBAAOp2O4cNNOzlotVq2bt3K77//zsUzJzi/fytP7t00r19xZPPyBGtZ3M3Rjpvu9RRlDfJa8GnOZ/w+sgfhL017K1KpFjkKmr4EjA4PZcHYfoQFx3/x6+TuycBpS3DNnA2A+/fvU6NGDe7du4cQqSVFifavv/5Ky5Ytad68OZaWlvTq1YuKFSsya9asJNv07duXn376ifz58791sEKI1zPo9az+dSyBj+7zY31rfm9qi4Va+UH4pjEHW2tvxa5YwwyKUnzImvUdTpZcBQB4HhTI119/naoLgM2aNYupU6cCphVu//rrr4Tzi/PVg89OEFZ5JFGGhIul2epCqe77G73PtqCM3wos9DEJ6ryJNoPHM37FAZr0HIZ7Vm9zeUx0lGJu9rZt2zh37tzb3UwbDfunwNyq8PBkwvPZykG/A4RlKqsozpcvHzdu3ODzzz9/o9v+8098b1OzZs3e6BpCiI+LhYUF+/fvZ/jw4WTOnDnBeZVaTfZ8RWnY9XO6j52R8As8lYo9eUcRbuWpKP6hnjWZYn35fVRPIsNCzOX2Tq4MnPYn2fObFkh7HvCYRd8MRPfvl4QALpmy0HP8LJxcXAHw9fWlRo0a3Lp1CyFSQ7ITbaPRyOnTp6levbqivGbNmpw8mcgfeCFEujMajRw7sIenN86xtr0tX1VJuE2Pj1s9dlT5i1gr1wyIUHwMLK2s6TbmFyysTK+/v//+m7lz56bKtVetWsWQIUPMx7/99hutW7dOvLKFFZElejI6tCNnXJpgSORPnp32OTXv/0rvM82o7DsX+7i3XwzQyd2Tep36M3rxLgZMXUzRSnUSXQzojXu1DQa4sg5mV4CDU0GfcJsbqn7Bk8aL6fXlt1SqVInYWGUdJyenN7y1ga1btwJgb29P7dq13+g6QoiPT+7cuZk2bRp+fn7cvXuXVatW0bBFW/pNXsjk9acZNmc9DbsOTnTfa4BYS2d25v9GUWZjoWJFa1uCHtxk/pjeREeGm89Z29rT59vfcfU0bd/48MZl/ln0k6K9k1smmrTuSIECBcxlFhay+7FIHcl+JYWHhxMdHY2Hh3LlP09PTwICApJo9WZiY2MVHwrCwkyrAWq1WllMTaSp/15f7+vrbNKkSYT6XuZgD3vKZ0u4f+/xbL045t0XUJnmdKYBg8GI0Qh6gwFDGt3jXY8hOffX6w2K/2ZEDGnJM0cemvUZzoY5poW/hgwZQvbs2WncuPEbX3Pz5s107tzZ3Ds+atQo+vbt+8rfV61WS7jBmi2eA7mS81OqPphP/ucHE9Sz04VQ6dEflPdbynX3+kIoVGsAAJWvSURBVJzz6kiAfcKFfFIqX6mKeHrn4da+guTJ4sbq1au5ffs2RqOR9evXc+HCBYoWLcr58+e5fPkyrVq1wtHRMfGLGY2obu9Gc3AKKv/LiVdxzU1ApXFM33Ca31oVITIyEoBly5bRtGnTt34+J0+eNP/Nr1u3LhqNJlnvl1qtFqPRgOEjfl94F2JI6/sn530to38GEsN/9zdgNBoy7LN19uzZ0Wg07Dh8iiy58mNlY5usn4OvU1nOZO1EuScrzWUls2j4oZ41w3b7cOfSaYpUrGk+5+DqTo9vZjHzi47otVoObVhCvlIVKVKxFmD6Odja2bFy5UrGjBnD9OnTyZ49+3v7OVCkvrd5LaT4K5uXty3R6XSpPj9rypQpTJw4MUH5/v37sbOTjeVF2tu9e3dGh5Ai0dHRzJgxg/A7pzjZx56cLsreMx0aljv05kRsDbh9J01jefboAVFRUTx48IDI2IxZjTijY0jJ/e/evfvK8+kRQ1qx98pHznyF8L19HZ1OR7t27Rg3bhzFixd/o+tFRETg5eXFo0ePqF+/PhUrVnzt+h/BwcE8euSH9t49/J3dOKHpSw6XejSNXEcJ7YUE9TVGHUUDt1M0cDsPNDk5aVON09aVCVO7vFHMAJGhwQQGPad+1fJMmzaNFStWsHbtWsD0BcSwYcOYPn06Bw8epH///hQsWJCSJUtSunRpcufOjbXGSLbnJ8kXsB2nmEeJ3sOAmiPaokxcq+fQVx0VK4Hb2dnh7e2dKu9r/82LB8iRI0ey11958f+DfXDoW8fxJt6F34mMjiG97v+q97WM/hlIDCaRocH4P/Jj7969uLllzEKob/q+cM9YnyyaI2TXx+/s8EUla0LzNeOJWzZu3br9UgtLKrXoydG18wFY+dNo2n89Bxt7R/PP4eLFiwwcOJCbN29y8+bN1Hh64gMRFRX1+kpJSHai7ejoiKOjI/7+yq1RAgICTAvQpKLRo0czbNgw83FYWBje3t7Url0bd3f3VL2XEC/SarXs3r2b+vXrY2lpmdHhvJbBYGD58uWMHTuWkvbP2NHLHmcb5RdfMRpHNhecSpBzWdJjpQQ7lY6rdnbkyJEDrxy50uGO714Mybm/Xm/g7t275MmTB43mzfcYfZsY0lpY0DM0DRoTXDg/W7Zswd3dnWbNmlGkSJE3vmbNmjVZvHgxY8aMSdberE+ePOHwuat4586Nk3umf0vzsZv6XAm/QuVHC8kdciLRtjn0vuSI9KVN5Ep8nStww6Me910qEWnlkWj9pIQFPcPyaTbq1q1L1qxZqVWrFgcOHCAwMJAjR47www8/mKdg6fV6fHx88PHx4eaBVXQtZUOPUlY4WyXdQ3gmwIpe64K5HKBcmNTCwoJ+/foxcuRIzp8//9bva0ajkS+//BIAjUbDmDFjEoxyS0ri/x/S17vwO5HRMaT1/ZPzvpbRPwOJweTl96WM8DbvC7vCv6frlV5YEt/bOCrzEZZn70OIbcIFXvPlG0Lww5tcO3mA6PBQru1bR/thk175c4iLi6Nz58706NEjVUYEifdTUFDQG7dNdqKtUqmoWrUqe/fuZejQoeby3bt3U61aNfNxTEwMsbGxODsn3Ms0uaytrbG2Tji31NLS8r1IfsT77314rZ04cYL//e9/nD59mi8qWfFTfTs0Ly16FmrtxYYiM3hulyvle/m9IbVahUoFGrVasfpyesroGFJyf40mbWLM6J+BKQY1Go0Fs2bNIlu2bAwfPty8xVVyHD58GGdnZ8X2Ubly5Up0xFNSLC0tUanUqBP5Ofg7l2Sj8yzco+5Q+vFKCgdsx8IYl+AaagzkDj1B7lBTQh5gnx9fl8r4ulTiqUMRtBb2r4xBrVajUqnN7ysuLi4MGzaMyZMnM2jQIPLkycP+/ftZs+JPQi/voKjNU5oXsCSv23+/tUkk2R4FOe3YkAoTlftyZ8qUiT59+jBo0CCyZcuGVqvl/Pnzb/2+5u/vj15vGtpZq1atFH04f9X/h/TybvxOvD/vTW/jVe9rGf0zkBj+u78abZyW4ODgDPu8ExwcjE6ne6P3heeO+Vnl0JUuEX+Yy6z1UTS/+TUrS/yBXmPDpSO7KVi2Kta2ptGw7YZ8y7Q+TXDNko0qzTqhVmsSvD//R6/X07t3bzZv3szWrVtZvHgxXbt2TZ0nLt4rb/P7kaKh4yNHjqRevXrMnDmTZs2asXjxYq5du8ayZcvMdaZOncqvv/5KSEgIYBpaHhERv19pVFQUISEhWFtbY2tr+8aBC/Exu379OpUrV8ZKA4ua29CrdMJVlR87Fmdz4Z+JtpRFz0TGsrKySnQxtEuXLnH06FE6dOhgHroYFRXFnj17mDNnDjt37qR48eKcPn060S9fU0uQXV725BvL0ZyDKP50PSWfrsMhLun9vz0jb+EZeYvyfqZh1M9tvHlmX4Bn9vkJsstDuHUWIqwyEWvhhF790u+mwQCxoQzp1IBBDQviFOcPJyfj6XeOSh5XoZYeeM1z9SgI1b6A4u2x8bmGhcVUSpUqRdWqVWnevDk1atRIk8V8MmfOzN27dzl37pzMXxTiPRcTFcGly5eYNntRhn0ej4qM4NrN22SvnMiCjslwxLo2ZWweUyRwh7ksU9Qtat/9iW9v5GPtzG/IU6wcfSbNw8bOARePzHz20zKy5sqPxuLVyZPBYDCPmtLr9XTr1o2AgACGDRsmWxqKZEvRX+JatWqxdu1aJk+ezOTJk8mfPz/bt2+nWLFi5jo2NjaK3uyjR4/SokULAJydnRkxYgQjRoygW7duzJw5M5WehhAfl0KFCtGrQzN62u2lWo6Ev8brbqr5Q1WYKrnV2L3bHfPiI2UwGOjXrx8nT57ks88+I0uWLKjVagICAhTziy9fvszChQsZNGhQmscUbenKKe/enM7eA+/QMxQO2Ea+oP1YGV6917ZrzENcYx5SIGhvgnM6tTU6NOhddNguWgo607XeZLWR526lsKw6CIfSbeHfD4BFixYlKioq3XqkVCoVZcuWfX1FIcQ7TRsbQ5xBhWuRqnhmzZ4hMTx9cJvYq9fRad9wjrpKxe48I/GMuolHVPy6AMUDNuHy74ZId6+cYf6YPvSbvBAbewey50ve1CVLS0uWL1+Oq6src+bMAeCrr77i/v37/Prrr2g0GTMSQrxfUvyVd8uWLWnZsmWS50eNGsWoUaPMxzVr1jT3bgshUs5oNLJ3717q1q0b/y3q08tMy3ca90R6rb45qOXbA9FY2fxF9Q6fpXO0QiTPpk2bFFtDPn36NEGdXLly8fXXX9OjR490jAyMKg0PXCrywKUie/WjyBd0gPxB+/AOPY21PjJF17IwxJr+0KqBN/ks6ZobirWGUp/i6p43wWnTkMv0mhgihPjQ2Du54uTu+fqKaSD8+dtvp6jT2LK14FQ6Xeyu+FJ0diMrrjxz4sTdMO77nOf30b3o//1CbB2UWxsajUb0+sTfnNVqNb/99huenp5MmDABMG0p6evry8qVK7G3f/W0ISHkr7MQ77ArV65Qr1496tevz4oVK0yF17ag/b027hYvrYJoaccOp0/59oDpD03JGo2wtpU/AuLd1KpVK86fP88XX3xB1apVyZw5M15eXpQqVYq+ffuyefNmbt68SZ8+fTJ0T1Odxpbrno3ZUvhHfq+wh9XF5nMyey+eOhTGQBr0aKg04F0Rao2Bfgfgf+eh7nhIJMlOT6GhGbNSuBBCvM7/2Tvv8KiqvAG/02vKpHcgIRAIhA5SlKagIth7X8uuZf10d9VddVfXsrrr2ruuC3ZFRQVBuvReQ0mANNJ7Mr3eud8fkxkyaSQhKLrzPk/EuXPn3HPbOefXG7UDWD3w0aBtSlwsuzmKAQk+L9vS/P28/edbsZqaAvuU5O3j/cfvYteWDZ22LZFIePzxx5k/f35gLlqyZAnTpk3rUEEcIkRrQhXZQ4Q4A2lsbORvf/sbb731VqCk3p8ffoir44pQbHmBdk6i4Slw7Wc8d+19gU3jZl3603U4RIheMHLkSEaOHPlzd6PbeKVyKiJGURExii397kLmdRJtKyLWeoxY61FirUcJd1Sid9UjpRt1cTVReCP789W6/ewqtbKvXs6n6w4Qk9g+Y+7PidfrZdiwYSQlJXHLLbdw1113/dxdChEiRIggjsTOJsm0j5HVXwW2GbyN/HjvQEa/WERjYzNlRw/yxh9v5LfPvY9coeKth27G7XRQKZVSVFTUZYLHW265hZSUFC6//HJMJhO7du3irLPOYsOGDaSlnVljdogzh5CgHSLEGYTH4+Gdd97hb3/7G42NjYHtIwb3Y/kdqSi2vND+R6kT4OqPKW92sWGDTysbGZdI+rCxP1W3Q4T4n0SQqqjVD6FWPyRou0T0oHEbUQoWVB4LdmM9tQc2csdN1xKT1B+UetDHgVyFFNh06D5e+/w1wMW/Xnqdf/3rXz/H6XTKhg0bKC8vp7y8nNjY2JCgHSJEiDOS9QP+QIytkBTT3sC2fu4CVj40hen/2oG5sZ7q48d4/Q/X87vn5jPtit+w6pM38Xq9PP300/zwww9dtn/uueeyadMm5syZQ1lZGQMHDuzzEschfl2EXMdDhDhDWLt2LaNGjeLee+8NCNk6nY53n/o/9vwunARzbrvfiCOvh5uXgD6ODz74AFEUARh59gWhuM0QIX4mRIkcmzKaZk0/asKyKdcMocCTgDt+JMQNgchUkJ/ILP7QQw8Fsqq/+uqrlJaW/kw975hA2Apwww03/Iw9CREiRIjO8UoVfJ/1T4yqYMv0GPsmvvjbVRjikwFoqCpj/t/vZdoVv0EfGQ3A8uXLA8aKrhg+fDjbtm3jiiuu4IsvvvhZQ5tCnPmEVuIhQvzMeDwerrjiCmbOnMnBgwcD22+44QZKl/6bO/gcafPx4N94wT3j70gufgPkKgRB4N133w18P2Lq+T9Z/0OECHFqpKSk8H//938AOJ1O/vrXv/7MPTqB3W7nyy+/BECv1zNv3ryfuUchQoQI0Tl2hYHvhryISxpc2+H8pk947cn7iUtNR63Vc80f/4FGF8bMq+8I7POXv/wlYLDoiqSkJL788kuio6ODth87dgyrtWcJM0P8ugkJ2iFC/MzI5XL0en3g87hx49i6aQMfXZdE1I8PB8oB+al3SLFe/imKc+6Hlizky5YtC1jBUvqlY4jtPM4oRIgQZx5/+ctfArXEP/roI/bt2/fzdqiFr776KpAI7fLLL0er7U1hshAhQoT46WjQDeSHQU8icqLetQSRq6qf5x9P/5XfPjeflMxswJc4NjLKJzBv2bKFpUuX9uqYtbW1nHvuuUyePJmCgoJTP4kQvwpCgnaIED8xgiAgCMGJkp599lkyMzOZP38+21Z9y1lH/gHb3273213VEqzXLyNixJyg7W+99Vbg/7OGjzwt/Q4RIsTpIzIyksceewzwlZt5+OGHf+Ye+XjvvfcC/3/HHXd0sWeIECFCnDkURU9lU797grYpvA6uK/0bI9NOlPiSSmWMmjA58PmRRx4JJKHtCbfeeiulpaXs37+fsWPH8u233/a67yF+PYQCC0KE+AlZs2YNf/zjH7nzzju5++4TNa4TExPJz89HWrQW3jkbbO1rS/5nn0DOQz/Qb/jEoO2iKJKdnc22bdvQ6XSk9Btw2s8jRIju4nI6qamp+dmOX1NTg9vt+tmO3xPuvvtuXn31VUpKSli5ciUrV65k1qxZfdK21WqlqqoKhaJdzYJOOXbsGBs3bgQgMzOTAQMGUFVV1avj/5LuQ4gQIX4d7Eq+iWhbMUPrTlipNR4jlx6+jy+Gv49VFYsoilSWngjPO3DgAJ999hnXX399j471/PPPU1hYyJEjRzAajVx66aX86U9/4tlnnw3Fcf8PE7rzIUL8BOTl5fHggw8GXJIef/xxrr/+eiIifPUdEdxIf3wGNr3U/scyFeKcFzj72vEMHjy43dcSiYTnn3+eJ598kq1bt/LJt8tP56mECNFtHDYLuQdy+dcb76PRaH6WPtisFvKOFpAy0fmzHL8nqFQq/vGPf3DdddcBviRpM2fORCY7tXrdRqORrxYvY/XWPUgk3Xdk27Hpx8D/G+JT+OtzL/e6D7+k+xAiRIhfCRIJqwY+itbdQP/mbYHNEc4qLj18H18Of5f8XRs5cmh/0M8ee+wxrr766h4JyEOHDmXnzp3cfvvtLFy4EIB///vfbN++nc8//zyUnfx/lJCgHSLEaaS2tpYnnniCd999N8hdPC0tjZqaGp+g3VwGX98GZdvbNxCRCld/hCRpFO1F7GA0Gg1DhgyBkKAd4gzB7XTg8kowDJ1MXGLKz9KH6tICnIfy8bg9P8vxe8rVV1/NCy+8wLFjx7jtttv6pE2bzYbFKTBg6BTCDTHd+o3TYaPgv76QFJlcwdQb/4AuPLLXffil3YcQIUL8OvBnIr/i4F0kWA4HtsfaCpiX90caRz/G4dHjObBnR+C7YcOG9epYYWFhfP7550yePJk//vGPeDweNm7cSE5ODv/9739DyST/BwkJ2iFCnAYcDgevvPIKzzzzDGazObA9OTmZf/zjH9xwww2+8lv5y+Dbu8DR3K6N5vhJRN78CWijfsKehwjR9+jCDYRHx/0sxzY3tQ/DOJORSqV88MEHREdHk5CQ0Kdt6yOiun0fjA01ZI09h9yNKxgzcy6JAwad0rF/afchRIgQvx7cMi3fDn2Zq3Nvx+A4UT4xxbSXq4VnKZs8mSsvuYjHH38cURT5/vvvufTSS/niiy96nABSIpFw3333MW7cOK666irKy8tpaGjg4osv5qGHHuKf//xnX59eiDOYUDK0ECH6mM8++4ysrCz+/Oc/B4RsnU7HU089xdGjR7npppuQet2w/C/w+bXthGyXIHL/cgdpD2+muMbY6XFcLhf//Oc/qa2tPZ2nEyJEiJ+Y7OzsPheye0pEdDw3PfoSj3ywitk3/v5n7UuIECFCnCp2hYFF2a9iVQSX5Mq07uIe/Spuv/UmPvvsM5RKJQDff/89M2fO7PUaa+LEiezbt49LLrkksK23lvIQv1xCgnaIEH3Mrl27OH7cl1hDKpVyxx13UFBQwGOPPebTjFYfhPdmwLY32/22sNHLpPetvLLdxZ133kn//v07Pc4HH3zAn//8Z9LS0njzzfZthQgR4tdDc3Pzz3LcqPhkDHGh2MIQIUL88jGpk1mU/SpOmS5oe46yFMPK33P15Zfwww8/EBYWBsC2bduYMGECeXl5vTpedHQ0ixYt4u233+a2227jhhtuOOVzCPHLIiRohwhxirQtA/GXv/yFsLAwZs+ezb59+3j33Xd91imvAJtehvemQ83Bdu0sPORm9LsWdld5uf/++3n++eeRSCTt9gNwu9384x//AMDpdDJmzJg+P68QIUL8/BiNRu644w6GDx8eqGcdIkSIECF6R71uEIuyX2snbKtL18PCm5lxzhQ2bNhAdLTP8l1SUsKDDz7Y6+NJJBJ++9vf8p///Kfdmu6ZZ57hyJEjvW47xJlPSNAOEaKX7N69m9mzZ/Pss88GbY+JieHw4cMsX76c4cOH+zY2lcCCi2D14yAEl7jxIOd33zu4+is7Jifcd999vPjii50K2QAffvghJSUlAMyePZsJEyb05amFCBHiDOG+++7jP//5D+Xl5fz+96ffhfvwjvVsXvwJnlAprhAhQvxKqQ4bzjdD21u2OfoDfHkzCbFRmEwmwCcoP/fcc33eh0WLFvHYY48xcuRIXnrppaCEuSF+PYQE7RAhesiRI0e46qqrGDt2LCtXruT555+nsbExaJ+UlJYMy6IIez6EtyZD6ZZ2bdVJ4xj9VjPv7PYtau+9915efvnlLoVsh8PBU089Ffj8+OOP98FZhQgR4kzkqaeeCrgxfvTRR3z88cen7VheQWDJu//k69ef5NnfnI+pIZT/IUSIEL9OqsJz+GboKzilbUpPHllGwup7+MM9dwAgimKfh+eJoshLL/nKuTocDv7whz9wzjnncPBge2/HEL9sQoJ2iBDdpKCggFtvvZXs7Gy+/PLLwHaDwUBxcXH7H5ir4fPrYPHvwWVp86WEjeIYUp4s4ECtz/X8gQce4NVXX+1SyAZ45ZVXAjHg559/PhMnTjyl8woRIsSZS1paGm+99Vbg81133cWxY8dOy7G2r/iamtJCACKi4wiLij0txwkRIkSIM4Gq8BF8kvIkDlER/EXxBp4auJf+sXoA3nvvPQoKCgBoaGjggQcewGJpu67rPhKJhBUrVnD//fcH1nxbtmxh1KhRPPLII9jt9l63HeLMIiRohwhxEo4dO8bNN99MVlYWCxYsCLj3xMfH89prr3HkyJHgGGmvF3bNh9fHw5Fl7RuM7Ae3/kBB/xtxtXgKPf3007zwwgsnFbJra2t55plnAF+iteeff75PzjFEiBBnLtdffz0333wzABaLhYsvvjjg1thXWJob+f79fwc+X/ibP5x0PAoRIkSIXzpl2qG8ZL4AryLYjVxRd4hdd0fRL0KCx+Phj3/8I06nk8suu4yXX36ZiRMnUlhY2OvjarVaXnrpJdatW0dmZiYAHo+HZ599lmHDhrFixYpTOq8QZwYhQTtEiC647777yMrK4sMPPwwI2JGRkTz99NMUFBRw7733BkpBAFB/DD64CL6/H5wdJC4adSPctRn6TeTWW2/lhRde4PXXX+fRRx/t1qK2dcmw22+/PVQqIkSI/xFef/11hg4dCkBeXh433HBDn8b0ff/+v7GbfWPW6OkXMTBnfJ+1HSJEiBBnMgWeRBrmfgjamKDt0TSz7Y5whsVJWbx4Me+99x779u0D4ODBg4wbN+6UBeJzzjmH3Nxc/va3v6FQ+CzrRUVFnH/++Vx55ZW43e5Taj/Ez0tI0A4RogtiYmICWcUNBgNPPfUUJSUlPProo+j1+hM7elyw/l/w1iQ4vrl9Q7pYbBe/Dxe/DqqwwOY//OEP3HPPPd3qy+rVq5k/fz4AYWFhPPnkk70/sRAhQvyi0Ov1LF68GIPBAMCSJUu46667EEXxlNs+uGU1O1Z8DYBaq2feb/98ym2GaI/M5URlt3X4ndJqQeZy9rg9pbVj99XetNdXyN2uLvsl72WivTP1fEP8OvDEZsNtKyEyLWh7gk5ky290zMmU89prr7Fp0yaysrIAaGpq4sILL+Sf//znKY3FarWav//97+Tm5nLOOecEtkul0oDwHeKXSUjQDhGihc2bN1NZWRm07b777iMjI4NnnnmGkpISHnvsMSIiIoJ/WLYD3jkHfnymXUZxAHKuZu/Et8i48PcBQbk3yGQy0tJ8E8Dzzz9PfHx8r9sKESLEL4+MjAwWLlyIXC4HfHGDn3zyySm12Vhdzmf//kvg80W3/4nwUGx2nyNzORmyZjHjtq5B7/EEfae0msle+TVD1izutrDoby975dcoreZTbq+vkLmcTNi5juxV33Tar9E71qP09swb40w93xC/MqIz4DcrIS47aHOYSsLiazXMiylhxfLlbN++nXnz5gG+Eq9//vOfueaaa7Barad0+KysLNatW8d///tf+vfvz7/+9a+g7wVBaFdSNsSZTUjQDvE/jdfrZfHixUyePJkpU6bw8ssvB30fGRnJ0aNHeeSRRwgPDw/+sbUeFt8H78+Curz2jUemwQ1fM984kUnnzaO6upo777yTjRs39qqv06dP5+DBg7z00kvccccdvWojRIgQv2zOPfdcPvroIyQSCeeffz5XXXVVr9uyW0zMf/L32C2+eO+cKbOZOOeavupqp/wvWiZlbjcKhw2tzcql9VWobb4FuU9IXITKbELhsCHrppuovz2V2UT2ykUB4dPfnqa5EbWxqcP2dB5Pp1blU703MrcblcuB2mzssF8qswml04HC2zPr38nOt6fXL0SITglPhFuXQVpwolmpRMLz56lJ3f0Mcjx88803PPHEE4HvFy5cyIQJEzh8+PApHV4ikXDrrbdSUFBAv379gr5bsGAB48ePZ82aNad0jBA/HSFBO8T/JC6XiwULFjB8+HAuvvhitmzxld76z3/+0y6TpFTa5jURPLD9XXhtNOz5AGizYJBIYeK9WG9eyy1Pf8xvfvMbHA4HABMnTmTIkCG97ndYWBj3339/+z6FCBHif4ZrrrmGRYsW8dVXXwXniOghO1d9S0WBb1EYlZDC1X985rQnQJO7XZ1aJjVN9eQs+bRDy+QvXQB36fQcmnUZNq2OcI+HMVtWoa+tCgiJzrBwDs26DJdOf/LGWrXnDAsPCJ/+9jTNjURUluKbm4LnJ7XdymX1VYzeuqbd9ewLq7FLp2fLhJk4wiLa9ct/nrsmzsDa4pXRXdqe77BlC4k6XtDh9fulPyshzgA0kXDjtzC8vSLz6iwR7cKrkFqqefzxx/n2228DJRgPHTrEuHHjApVhTgWZTBb02Waz8fjjj7N7927OPfdcZs2axZ49e075OCFOL6HVeoj/KWpqanjyySfp168ft956a5DmcejQobz88suoVKrOGyjZBO9OhR8eBEcHyc4ShsMda8lLu4EJZ0/ngw8+CHz1u9/9jlWrVhETE9P+d52wc+fOQPKzECFOlf9FS2JvOdOv1SWXXIJOF5wld+PGjSxdurTbbZx9yY3MuPpO9BFR3PH0u2h0YSf/0Ski83RsmdQ01TPtzWdIzd3ezhL7a3ENdunC2DVxBia5HK3VzLDlX7UREnt2/V26sGDhs6U9l0ZHXUYWcpernfV37Na1hHs8KFzOdtbfvrIaOzQ6Dp13Sbt++c/TodF1+fuTna9LoyXlwE6mvvMs2sa6oOv3a3lWQpwBKNRw2bsw83GgjQKyfCe8PQWOrebiiy9mx44dgeS0N954YztLdF9QWVkZtH5ctWoVY8aM4eqrr+bQoUN9frwQfUNI0A7xP0FDQwM333wzaWlpPP7441RXVwe+mzx5MosXL+bAgQPcdNNNHSeeqC+Az66DBXOg5mD77xU6OPfveG9bw2tfb2Ls2LGBgU+n0/Hpp5/y1ltvdS3Et2HXrl3MmDGDc889l4aGhh6fc4jTw5kugHVGKMax+/wSr1V1dTVXXnklF110EbNmzWLJkiV42sQCm5saAm7i4HNRnPObP/Dgu0uIT8v4Sfrp1Og6tsSuWITaakJEQmtL7K/NNdih0bHKEBwDf2zyrB4L2X5cujCOTZ4VtC1/xlxy517XobVba7NiksvZPem8dtbzrqzkPbW6d9SvUznP1u2WjJ+KzONG5nQSV5jH8dGTWgnZv55nJUTf09X8LTGbocX78MRGCZz9B7jmU1C2ee5tDfDJ5bD6CbIyB7J9+3aeeOIJXnrppdPS94EDB7Jnzx4+/vhj+vfvH9i+cOFChg8fzlVXXcXBgx2sT0P8rIQE7RD/E4SHh7N69WpcLl9cmlQq5fLLL2fTpk1s2rSJuXPnduyOba2HZQ/CmxPgSCeWomFXwO93UT3wGmacN5v77rsPm82XWXbYsGHs2rWLa6+9tkf9XblyJTNnzsRisbBjxw6eeuqpHv0+RPfpieDcXQGst1l1TyehGMfu80u8Vq+++io1NTWAz9Ixb948IiIimDhxItdccw1bVi/jpXsv48cv3w/6nUQiIczQfS+bvqAjS6zc5aQsZwLlOeMClthTca3uCT+l8kxtt3JeU13QtszNK9uNJ91FaTWTuXllu/aADq3dNq2Ob2IScWg7tip3ZiXvqdW9s3719jz9aJrqSd+6ltqMIQgqFTKnk0kLXsZQcoyc7z9D3dx4Wp+VEL9cupq/NU4nmi++gI8/bi9sA2Rd2GFGcgA2vQQL5qB1N/L444+j0WiCvp4/fz5PPvlkO8Vnb5BKpVx//fXk5+fzyiuvEBcXB4Aoinz55ZcMHz6cW2655ZSPE6LvCAnaIX51FBUV8f77wYtJhULB3XffjcFg4KGHHqK4uJivvvqKyZMnd9yI0wzrn4dXR8GOd8HbwQAZlw23LIUr3ofwJMLDw4Oylt91111s3749UAaiOwiCwL///W8uvPBCTCaf5Wnq1Kk8++yz3W4jRPfpqeWy2wJYH0yofU1fWqt+qXRXoPolXqtnnnmGzz77LMhl0WazsW3bNrZu3Yq1xZK98buPsJk7CHv5iemOJfZUXau7Q0djgP856WgMOBXBu7Xrtk0XxsHzr8AZFo66uZGc7z/rUAjt6nitxx1nWHigPf8zC7S7xgdGTsRykvjoU7VGq+1Wsld922m/1PbeZWZuHV7g1IWz/rd/xhEegdpkZPqbz5C6ewuGylLyp805Lc9Kb+hqzFHZbT3Ovn4m8Iv16upk/lbZLEzOO4i0uRmsVnB1oiiPz4Y718PgOe2/K9vmK++6/3NoVearoKCA3//+9zz++ONMmTKFo0eP9sm5qFQq7rvvPoqLi3nhhReCqtBERkb2yTFC9A0hQTvErwKXy8WXX37JrFmzyMjI4Pbbb6e4uDhon//7v/+jrKyMf/7zn4EyWe1w28ioWYb8jTHw49PgNLXfRxsNF/4bfrsB+k85sVmrZf78+aSnp7NmzRrefPNNtFptt89h8+bNTJkyhQcffBBB8E2+l1xyCUuXLm2nIQ3RN/TUctldAcyp6f5973GfT2GR01fWql8iXSXh6kig+qVdK4lEwjXXXENBQQFLlizh6quvZsCAAUHfJ2cM5eyLb0QUf/7yMF1ZYk+Hy3FntB0DNE31DFmzmJwln5Kz5FNflmyLCbWx6ZQEb6XV0s512xKXSP60ORgqS0nZv4OcJZ8GvdtdhSn422v9TFriEoOe2Zwln5H145Kg3w3ft7VdebH2fe29NVpptTBp+xrUZmOn/Rq7dS26HiojlVZLu/ACS0wCm2++H69MTnhNBRE15TTHpyAo1T1q+3RxMkXuuK1rmFdf87N4QPW2pvsvMazGT2fz98j1P6B1OvBGRsItt0DbCjOt0UbBNZ+wM+YKXEKbRLgOI3zzW/j8OjD7whM3bdoUSIa7fft2cnJy+Mc//oG7j7yhtFotf/jDHygqKuLFF18kJSWFBx54IGif5uZmPvroI5zOM++e/C8QErRD/KLJy8vj4YcfJiUlhauuuopVq1YFvnvvvfeC9tXr9e2SBwVw22H7O8jfGMuwys+R2Bvb7yNXw5Q/wH17KU+6gOtvupm9e/cG7TJ58mTy8/OZMWNGt/rv9XqZP38+06ZNY8qUKWzbtg3wLYoffvhhvvrqq877/BPwS9Vcd5eTCc5ujZajU2YFWS79AphHpULd3PiTCmB9kxX49MROnul0loSrK3fw1tdKIniQuVwdXqsz6V2Qy+VcdNFFfP755xQVFWGz2Thy5Agz513JbU++xYW3PoAu3PCz9rErS2zOks/IWrs4aP++cDnujI7GAF1dNam520nJ3Ykgk+FVKBmy5jtylnwW9Jz0RLAQFArcam07121BqaY2YwgSRGIL85G5HO2uUUdhCv722o47gfFJqSKuMA+FzRp0jduWF2vLyazkJ7sPgkKBU6nGERbRYb+cYeG4VGrc0p5ltxcUChwRhqDwgpwlnzF44/KWaH4Rj1KNW61G5nKcEfPWyRS5WpsVjVdA5vlpQ1BOpab7LzGspjUdKVDVVjM2lRr7VVdBRMTJG5FIGHfv+zxbM52ipg6UlkeWwRsTIHcht9x8M5s3byYzMxMAp9PJo48+ytixY9m5c2efnZdWq+WBBx6guLi4XSK2d955h5tuuonU1FQee+wxysvL++y4IU5Oz+orhAjRBUajMRCbfDqpr6/n22+/5auvviI3N7fd9xkZGdxxxx3di1NxmmHn+7D1DbDWts0reYKca2DGY1TZ5Tz38N945513cDqdlJaWsmHDhqCSOB0lU7Pb7RQUFFBZWcns2bMD26VSKS+99BIHDhwIbBs0aBD//e9/O3dr/4nwT8YKh62dAOmfVN1qLXkz5yEou5/k7UzDP/H6FwnDln8FgFujxaNQMmjTyg4FaJnTSWzREerSByPK5D+JsNp2kROcadfXf/9+ndGZtaorJYGsJUNxR67SSqsFQaE4458BfxIu/3XKXrmIY5Nnkbl5Zafu4P5rJRE8xBYdQSp4yFq7mNy51wWuVXffBZfTGYih/qkxGo0BL5mfG5XdSvbKDe2UU4dmXUbOks9Izd2OiITyEePJnz43cH9aP+9t6ej59G8D2j2fKrsVmcsZ2NZ2DJC5nIhIkCAiFQTU5mYS8vYjQaQsZwKHZl0GiO3eua7eAUGpIm/mPGqOHMBSdsLbyqXTkzvXl8NDabeStW7pSZ/L1u11/F5KQAJNSWk4IqOCrnHyJ28S7vGQvWUV5an92zzv7a3kba+N7z5c3mnYhKBUsX3cNAb3S8PT5l752rqcstICXAV5nV6rrq6f756KgWdF5nQiqFQcPfsC3Go1creL6W8+Q23GEHLnXtvpvFXZP7NHx+8NfiVOZ2NOc4vSZXovs7D3lrY13R0d1HT379f2mT7ZOf0UYTX+d9vRgadfd+YjvwLVP9cD7M7IZFpXluwO+OOLnzDrnAnc07+Y63ParPsczbDoDshdyIQL/sm+fft4/PHHefHFF/F6veTm5nLWWWdx11138eSTTxIVFdWjY3eGvE1YiMvl4uWXXwagrq6OZ555hueee45LLrmE3/3ud8yYMSNULvY0ExK0Q/QJRqORZ/71Eg3m0y9or1z8NeXHi4K2SaVS+qVnMm7ceN5+4xUMhpNYbGyNsP0d2P62b0DsjMFzYPojVBPDv578F2+99VbADQh8FvXi4mLS09MD26qrq9m2bRvbtm1j7969HDlyhNLSUkRRRKVSYbVag+ojXn/99fz5z39m0KBB/PnPf+aGG27oOPP5T0xPhLozWcjqjpDY0cRbNG4q/fdu7vD8c5Z8RlL+PkQkSAUvguzkwmpfcKqLnLbWqta/7UyQ+TUpXDpTqnTkjdD6Wrm1Omoys0nK30dKrs8KkTv3OoBuvQsOm4XcA7n86433f5YwEKvFRElZBePPANdBQe6zxAJtrrnPHVhEErhPdkPMSYW8jp5P/za1sQkQcUREkTdzHgB6j4exm1ehLcoLemZbjwGCUkVdehYepQpJyzEkLX0DEaXV0ivBQlCqOgwrcenCyJ17bafPpaBQorRaOhS2ZW53kNIAWqy/4QYEpaqdVXnXxBlod27ArVQhtJln/Fbytvem9XvjVmuDftfR+OpRKHHp9Kg7EHpcOj0eRe9qvwtKFYJShdJqQe52BoRsn1B9HS6dPhDrnpq7HSAgbLebt36iPBpdjTm7Rp0VpHT5qfDPI62VLrVR0d1+pnsyjvY1rd/3A+deHPRdd+ejjpTNYwqPITGZIDGx233R6/V88vX3jBs3ji8PG3nnIjXx+jZCa8EqeHM92kn38fwzf+eaa67htttuY//+/Xi9Xt544w0+++wzli9fzrhx47p97O6iUCj48ssvef311/n666/xeDwIgsDXX3/N119/TVpaGjfffDO33HJL0Do2RN8RErRD9Ak2m40Gs42o7CnoI/pGM+d2OSnM3cnAEeORt5qYx4sayl9/EoDEAYPImTKb4ZPPA0QaD20KEoTbUX8Mtr0J+z4Dj73T3bzpM5DOfIydlV5ee+hffP7550ExNRqNhnvuuYe//OUvREVFUVRUxCuvvMKSJUvaxYa3xm8Fbx07ecsttzB16lQmTJgQZBnvS3pjkfRPxsOXLUTbUN+hUHd0yqx2i7Wfom/dxR+XezIhsfCs6e0m3v57N7cTRI9NnkXW2iUnrG4548ifMa+dsHo66e0ip7fWql+LwsVPR0qVtt4IHV0rAKHFipaSuxO524VHoULucp50Yep2OnB5JRiGTiYuMeX0nmAHVJYcxbNzH+4zIEmfR6Hs0BLrcw2OonzE+ICQDe2FPERvkNDZ+vnMWfIZh2ZfhqBUozY2kbZvK6IoUjZqIjK3G7XdZ8HTJqWhNjWhtFqwtzyzbRffglKFROIbnwSFT5gTlCrkLhfDl36OVPBii47pYFzp3ZjV2XMpKJTdVnT5r4dLp293jf39cmh0LI9JZNbEmcS26WNXVnK/Nbr1uZ1UCbf6u9OihJO5HBhKiwJCtqBQBRSduRddC6LPDV9pt3aqjHRWlfVZf05GZ/fWYWr6yfrQUZ/8Shd/TXfovrDcnXH0dBA0H636lsL0HKB71vi2+/mVzakrF6F1OtAsXAj33dc99/EWBgwYwKJFi5g1axbZb1p57QI11w5vsyYSXLDx35D7BWNmP8POHTt48aWXeOqpp7BarYSFhQVqcPc1EomEKVOmMGXKFCorK3n33Xd55513AiVuS0tLeeqpp3jqqadYunQpF1544Wnpx/8yIUE7RJ+ij4giPDqu1793OR3k79xI7sblHNr+I06blduefJvss6YH9hk/6zJMDbWMnjGXhH4DA9tNDbV0EFntywBZvMHnHn5sRZfH9w6Yxmb5ZEbOu4vzzz+fLVu2BH2vVqu5++67eeihh4KyPFqtVl599dUO2wwPD2fw4MGBv7YWrfj4+KC2+ppTsUgKCiUehRJDRREgBk3GxybPYtCmlae0kDrd1tK2cbkdCYkyp4PsFYsCAlPrRVnm5pVBn0cs+ZS4wsMBIdvvQtxWWK0cmN3jvvaE3ixyemOt8n3/87sK9iXdcZ3v7Fr5XXxTc7cTd+wQ9QMGY2/lmnsydOGGUxofe4uxoe7kO/2E+C2TbbedTMhD9DJo44qg8cL/fPpdiWML89hyy/1IPG60DXVIvb7Yen/G73KPB5dCiVqEjG1rW47parf4zlq7mJTcnUgQA8KcKILKYiKqvAQQWX/uw0H3XV9bxaD1y3Dpw3s8ZnX2XB6bPKtbii6lzULG1rVB10ZopURo7TJtlcs7tSp3dG9O3Ifg+9KREs6h0Z7IOm4xB/bz/3uqClWl1UzWuqUYk9Ko0+jInxEcXpA/bQ55My/m0OzLyVq3NEgZ6VGpfpaM5J3d2+MDh/6k/WiLQ6NjsyGW1nbU7grLvQlB6gtaz0dqUzOTtq+hOTGOQVvWnHQ+6kzZvG/qBfQrbsk6vmAB3Hpr1wnR2nDOOeewcOFCLrvsMq5bZOfLw27+c5mBKEUbDyJjGSy8CUXKeB6++gluuOEIDz/8MJdcckm7deGxY8cCcd19RVJSEk888QSPPPIIixcvZv78+Sxfvhyv14ter2fq1KlB+1dXV2MwGFCpznwF+plMyDE/xM+OzWxkz4/f8+EzD/C3Kyey4Ml72fPj9zhb4ob2b1getL9SreHCWx8IErI7xN4M2972JaX4cF6XQrY4eA7cvhbhuq9o1A9GrVYTFnZisoiKiuKhhx6iqKiIv/71rxiNweVxhg0bRnp6OgqFgnPOOYeHH36Yb775hoqKCpqbm9mxYwcfffQRjz32GAkJCT27QKfIqSQvkbndSEUvprhkYovyA8lRSkZNCixuTiXxyelOrOKPy+0s2ZlHpQIkQVbJthlyMzev5PhoX7y8KJUiyBVUDxkRFKfbOsGKW61FOEn5nFOlN1mB/YKMz2LdcexkZ8LBLy0Dd2d0N9FTZ9fKpQsjf8ZcajOGUj9gMN6fKDb/fwVBqerCXVUPEmmH44UPn2u32up7PpUOB6aEZCzRCSTm72fE4k/Q2qw4pRIkgMJuRW1qQm1sarf4FiUg8QgBd3FBqUIiCKQc2Em/3ZuIqDqO0m5l8gcvo6+tQmm1EFFRwrS3niblwE6UFtNJxyy52xVI2NX2uTw69QJcGm2Qsu9klQ4EhapHpQdbH78tSqsFpcV00oRiHSWSC6urapd1XFAo+iRTdWtByR4ZRe7ca4PGa3VzI9PffIYhaxYjKFVBSR9lLp+reca2H08pGVpPE4R2NeaM3br2pBngTye9rel+qgnzThX/fOQIi0BrszBs+dddzkf+e9ZRAkGl1YJHrmDzkGG+rOM6HSh7Htowb948PvnkE2QyGd/ke3hb/huYeC9IO1gLlO+ABReSvO5+Pv73w1xxxRVBX+fn55OVlcX555/Pxo0bEUWxfRungFKp5IorrmDp0qWUlZXx3HPP8ac//ald4t377ruPuLg4brzxRhYvXty1t2iITgkJ2iF+UloPGLtWf8cbf7qRv105kY+f/SP71i/D5TgR463RhzNu1mWMbROHc5IjoKjNhe/ugReyYPnDUH+k4z2lcorDxvNg8dmkPrgBR0ywFfK+++5j+PDhvPfee5SVlfH3v/+dBQsW0K9fP+686SbEVsK2RCLh66+/pq6ujvVLlvDcE09wySWXkJSUdNrcwbvLqdQEdun0HJs8i/DaCuROB7FF+SitZiZ/8DLaxrpTtmb+FPWKTyYkOiIMnWbudYaFI0qk9N+xHgCvTE79gMF4FJ0Joz5htbcxiN3hVBY5JxNkupNApjW/JCFT1eJG2lU5JN/18y2iO7pWfgWHoFDilfkWUKczI3aIYLoaL+QuF9VDRrRYn5UISiUbb/sTFcPGBMYuld2GyiuictgxVJaCCF65PGjxrbRamP7m0yQeyaV86BjKc8bh1OiIKTmCvr4GqVfAFhGNymJE29zIjNeeYMKHrzLn6fvRGJvwymQUTpzZYf9lLifhTfXoPW5Gb11D9sqv0dX5+q9trMel0XJs8iz67dmMV6EMEraPTpnVbgzz79/ast86e3tExfH2ArlcjsHlChy/9bOrtFrQNNUzbNkXTH/zGYYv+wKl1RwkXLYXjCXkT5vTqm9fo7VZgrKOt1Wo+utoq21WeqJQ7UhQ8vfh0KzLcGt1iPiSyuUs+Yzs5V+2VAtwEluUT1L+PrSNdS2x+z6CFR7BgnLbzz2t+nCyEmz+ZGSqXtYV74rW96ytcsB/n8duXUuMy4VTren2PNKdsnKtx9Hu9K+jY5xMGeLShVEw+dygbR3NR63vmcztClKg+u9ZzqaVuGUy7FdfDTfcAOrelYe7+uqr+e6773jggQf4yxPPwuxn4Hebof/ZHf/g2Ep4+2z48haoOpHY929/+xter5cVK1ZwzjnnMGnSJBYtWnRaElomJSXx8MMP8/jjjwdtt9lsLF26FJPJxMcff8zFF19MXFwcN9xwA1999VU7Y1OIzgkJ2iF6j8MBpuA60x63i2P7trFpwcscXnuifqfLYUcURV646xL+cslo/nn7haz8+HUKc3fg9Z4YPLRhkUw4/wru/Md/+PsXm7n2T88yaPSkk3YlzFHFlPoveDpiITHfXAV7P+40BtsmqvigKJr+L5lI/9Nq/v3hUioqKli7dm3QfhdccAH79+/ntttuY/Xq1WRnZ/PII4/gNJkYuH07xx55BFoNNiNHjiQCYP58+Phj3/U5Q+itRVLTVE/W2iU0JQ/AER5BY2o60WWFqE1GoksKKBo/tUtBqzuT6U9hLe1MSLQbYrq08hZNmIbSakZptwWEWntkFHKXk5wln6Fpqm/zm66F1VOlLxY5vV3gnEpt3TMBfxKurpQqHbnO+/m5rTi/dORuV6e1k3tScqmz8cKjVOJRqBBaKcEytvnGdI9KjdzpIKWsiBEWI4JMRm3GEOQuJ1nrllJ41nSfazowaP0ypIKAVy7j8OxLyZt5MXKnA5nbjTk2AWNiGjZDNKU5E1FZTMQUH2Xomu9QWcw4deFsvO1BUg/sbCeMyVxOhi9byCUL/8OVtZWo7VZUZhNZ65YhdbkwlBch8XoZtH4Z6uZG5E47R6deGHguHRFRHJs8C5nbhVTwIBU8SERv0DvYurRXau52pr7zLJrmxqCkaqN3rOey+iq0FlPQs+tL8vgJ0958Bl1TPQq7BbWxmWHLFjJ82UKyV36NvrYqkLND4bChNjaSvfJrMrb9SNH4aS19883nBZPPbfWOBSsBxm5dS4LTwZgtq3qkUG3radJaiALIveg61t39KC6NjrQ9mxm8/gdii48gyGRIEMHrJa7gsC9Rnt2K0isEFA4+hc0JQbkjwbmnHlgnK8Fm0+qwS2UI8r5Nftr6uvjrwvufR999/pTpbz5DZFM9Axw2PDJ5IATmZPPIyc7pZONo2/6p2ygZuuvhoLSaGbh5ddC2juajtvdM5nbh0umD7pnS6UDuFRDDwnotZPuZM2cOL7744gkDS1wW3LyE7am/w6tNBWdb67QIh76BV6fAfy+F41uYM2dOUImubdu2cfnll5OVlcULL7xAfX09pxuj0cgVV1xBRKt4dbPZzCeffMKVV15JTEwM06dP5/nnn6e2tva09+eXTEjQDtE7HA6fMDl/PvbqahYtWsTqpd/w3O0X8slDN5Py6VvEfvQ66z96nTcevJFHLx9HTWkhTrsVp81KTWkh9ZWlgeYkUikpmdnMvOZOZt1wL1ljzw5KgNYRSo+F7JrFXHHgt9y+ex4z6z8kUdbc6f5HGrzcvdRO7LN13PJRMaXNJxZ9ERERVFVVBe0vkUg4duwYF1xwARdffDFFRb5M52qJhJkTJhCnUPjiefzCttHo+9zUBFYruFw9uqSnm55aJDXNDUx78xlSc7fj1mjZedWduHRh1GYMwSuTo7RbmLTgFcIrSjucEP2JyLqj/e9La6nM5URlD85+7xcS/YtUODEpd2bl1TQ3MGn+yyQf2o2nJXuvX6j1L2SnvfkMmuaGHvexbX+7K/ie6iKnt3W4fw1Cpj8JV29c5/vKivO/iszlDAh4apu1Swtpd61Z7dyCXa5ACMjB86/Ao1SSkruTpPx91KZnUTtwKG6FApXXi4iE/BlzA/cua93SwDOutNsoHz6OdXc9hjU2EUeEAXtULOU54ygdPZm69CHUZgzFrdfjUutQ2iwgkWBKSGbT7X/EbohBbWxC09wY9G5omhtJ2b8NndXCKIuJ/OxxPndnUxNJh3djMcSSmL8PbVN9wNruE1AvD8SRZ61dQlzhYWKKjyBzu0jM24e2oa7dO+jPyC3zuJF4vYGxVOZ2o3Q6UHu9iIBHqQpYv0cvWkBK7k7UVhP2cAPr7noMW3QMGlMzKfu3EVZdwfQ3/k7q3q0YKoooGTWJQZt84UNqYyNZaxYTV3iY2OIjSAWBgZtXB/Wp9RiltVm5vK4KrdV8UnfftrROxNZWiAIRkKC0mtA31CLzuH1KEsFLWc4EajKzUdhtpOZu56wNK4h0u1G4nGgb6pj21tNoG+taKRDaC87d8cDKnzYnqK/BFtQTz7ZLF8bOiTNZHBPf5x5QQddlxSLUxsaW+/wpOUs+Q2m3IvF4iKmpoFit9WXWd7u7NY+cSghSR/1r7T7f3ZAx/35qsxGbVs/B8y/vdD7qzj3bN/UCHKdRQb5i5Uqm3v4vHv5HKUV5WYjS6OAdHCLsdcG3y+G987nZ8ykFi//NRx/MZ/jw4YHdCgoK+NOf/kRycjLXX399UFnYviYxMZEPPviAmpoavv/+e26++eYgodvj8bBu3ToeeughTG0Mbl5vB7XF/4cJCdoheofLRf3x46z84guezMjgkXvvpbSoAK3LyS2AAbBWlLD2o9co3L8Dwe3m6J4txCb3Jza5P/I2g5ro9VJ+7BBL3vsXT984nS3ff97hYRUeK4PqVnJh/l+4c8dsZhU8RappT+f9lMpZValnxgdWsl638NYuN7aWsXvIkCE88MADrF27lrq6Om677bbAz6xWK4888gjDhg1jxYoTsd3Tpk1jw759XLtiBZEDBviE6gULoKzshJBtMMAtt/QomcZPQY8tkqKv4A5eL/H5+5nw6ZvI3M7Al9qmBuQOG4PXfd+hcNY2EVlX2v++spb6BclxW9e0m7y1jXUYyotw6vQBl8wuhUTRX3DI99+2X/rq7HbwVQ+Qu10MXbOk24LvqS5yehMT/2sSMnvrOi8oFAhyRUDh0lbB4VGqEOSKU87A/2vFL+CFezyM3/hDkIW09XPnt5B2x5rlHy9kLlfALTj4/vjqYOMRiDl+DEGpojJ1AE6plH5FeWStXRwU+9zakybv3ItPJMZreedy515P7txrcYaFoXRYSTy0m8iq47i0epqS+lGXnkW/PVta3imRiMrSgLCtr60ic/NKmlIGYNXpKVZryczfS8moSRjKi1FZLBiqy2hKGYAjwhCwtvuFR5nbFVRjvDYzG3u4gaaUARgqigPCtr62ipwln5KQt79VRm5lYCx16fTsmjgDk1yO0u3CN475kvul7NseqBOeP/0iRInPHdseHokpLtnnyWQ0El5TgV0fyeQPXiasuhJBJkPmcgXKHVZnZuNQa1CbjR0IPd1TqHZXISgoFMHeDcsWMuyHhfTftQl7WCTGhBRqMochKJUUTZyOSxeOS6PFrVKjs5iY3VTHsSGjMFQUozYZMZQXU5k1ksHrlnVqae/KAyt/2hwytv0Y1G//mNPReO7UaHFJZZwKHSkk/MKlIJOhaapD5nKBBFJyd5Kaux1BJqchLZ3G6HiaFHJ2TzovcI7dmUdOJQSpdf9au89HNNZ1K2Ss9XzkCItgy4SZmGO7no9O5jXn1J6+RJ6CIHDPPfegBFxGMx9+t5MX3rZyOGwOoirMJ2Tvc/n+dYkgAGXbkC+6jRtqn2X/K9ew9rtPmDFjxonzcbn49NNPA5nDTycqlYo5c+awYMECamtrWb58Offddx8ZGRkAZGZmMnBgcL6kBx98kJycHP7v//6Pb775hsbGDtMU/88QErRD9JjDhw9z8Y03MvDpp1m6dSsqm41bgBQICNlNwALAP0VGJaQgk8m48x//4S/zV/DPJft57KO13PzXV5l00TUY4pIC7YuiSPqwMYHPGncTSfvfYMIPF3Hn1unMOfoogxtWoxC7sBgb+sOMx+CBw3zJHDZVSBk5ciT33HMPCxcupLq6msOHD/Piiy8yffr0oLrV+/btIycnh2effTZQ0istLY0vv/yStWvXkpOT4yv/cMstPqG6qQnefz9YyO5BeYifgq4sksOWLURfW9XuN3ZDNJtv/j/q0gdjqDxOVGkRsYX5iCJ45QpskdFIvV6UdluH2ueTJSI7UTZJ7DNrqV+QDEzeLQtQn5BdTFPyALwKZcAlsysh0W6I5se7H6V8xHjkLle7eNDyEeP58e5HsRuiO+hJ95B7PMid9h4JvqcWZ93zmPi+cBU83XTlFaCy21B6exfb1q7dVukWgiyvP28ahjOe1gKe1mIKWEj9VsTWVQy6a806MV74lE6tFWK+UmEGqjKH4ZXJQCLBHh7J5nMuZEeYAYD4IwdA9Fl7pYIHmds3nxSNnxYkLAVi9hUK3z13OknIzyX6eAFSjwevXE5D2kAiqksD56SymKnLyMKl0QUt7G1RsXx35W3UK5VorWYGb1iOKS45qExV/vS5LQJ9OJrmRkZ9vYBRXy8IKim457JbyJ8xt42wXc+IxZ8EMqWX5Uxg/9zr242lDo2Ob2ISsenCkLtcqKxmZE4nXoWChrQMis6axuQPXmH6m0+haW5AInqJKT5KU3J/vDIZMreTATvXo6utpv+u9SQf2kPS4T0n+nbpTWwfO/XEuS9biK6uOnDvWitUZR43g9YvO6m7b1fjYutxSGNqJuXgLgSlCrXVRH3/QS21xp1MWvAyKouJusyhVGcOI7q+mhiXixG7NvgUHOERmOKSmfTRq6Qc2IlLo+00dMmvMGj93BybPAtBqQ4qNecPLeqr5J5taesi3nqskrmcJBw9yKBNK0nZtxWVqSmQ3E9lMZOYt5/0wjxEUYKng0oTvn73Poa6dT86asd/DZ0qdYsCbnm3QsaC5qPzLsGh0QXa62o++rlyjMhkMpYvX87sK65gAb61saWqlnf+9Bmz3xMpOtQf0aMGtQRGKkHVajKxVCNZ/0+m772XNXcmUrbmPf70h/uJiooiPT2dmTODc0HMnz+f+++/n9WrV+M6DR6VSqWS2bNn88orr1BQUMDRo0d577332u23du1aDhw4wKuvvspll11GTEwMI0eO5N577+Xjjz+moKCgzxO8ncmEBO0QJ0UURUpKSli4cCEvvPACNTU1LF68GCM+YbpZIsEA3MYJIfsLXRj9p8zmivv+ziMLVvHYh2uYPO96wFfCq77yOA2VpbgcdiJiEsgadw4ZOeMIi4pFrlAS4yhhdMUnXHHgt9y543yutixgUngNSmnnL2eTXeTtXS4qzp8P9+2Dcx6EsHiee+45zGYze/fu5fXXX+fKK6/sspyWTCajrMxXY1OpVPLoo4+Sl5fHFVdcEZzYLCICLmtTM/myy85AIbtzi6RLoyXlwE6mvfU0urqqNr/zLYoiqyqwRsXhlctQ2CzEF+VRm56FS6tD4bBjqCjm6JRZnSRT61qTDJI+tZb6BUmbVke4x0POrvUt8Y8+IdsWHdvuGF0JiXZDDLkXXdth/3MvujZQ67e3ODRaDp13SWBRnbPks06UEZxSptzW9DQmvi9cBU8nJ7N+jdu6hnn1NcjdPVt4BC1imxtb3FCdrZQTXwfiV+Utbrp9tYD+NdB2ge0X8MwRUZjik4k5fixgRWxdxaC71iz/fsaU/u0UYjK3m5Ixk4kuLUTmFaganMPBC6/CGBXD5/HJHM/IQmm3Mu3tZ8le/iUxxUeIKzyMzO0kc+OKVq62n5Gz5BOyV3xNzuJPmPHa30nbs4Xo0gIEmQJBqcQWFklS/j6UVitpezajbW7EUFFM3sx55M+YG9T/Y5NnYYyKZZUhNnCNosqKaEjNCMSW+wXR/GlziKgsJfnwHhLz9weVFPTv51UosYcbqMoaicztIP7YQeROB5VZI4MycnuUqoB1XWW3YZHLOTh6cuD4EtELokh0aSFZa5agMjejNhmZ/sbTpO3aTERNOf12bSK8thKVxYxHriCithK5w0F4TTkSUQzq25j9W30CkUJJbPFRstYtDRrXbFody6PiiK0uJ+XAToYtW9htd19Nc2Mrz4UTVli/ENWU3B+VxYhLrSW8toLicedgKG+xWFcUc2zSeQgaLU1RcQyxmZG73QgKFbkXXEVMyZGAy31Jq/wj7ZOkmRm0flnwc7N5JTKXg6NTZgWFFvkT0mkb6nEHhPe+saD6FRKa5kamvfkMOUs+CcRhD1+2EJXVhFcqJ+Z4Af32bKU5NgljQgoxRYeJqC7DodYiF0VknuBxq7chRu36d5J2MjevBNGLTDzhanzSMpW9nI9+zhwjAwcO5Msvv+SHzZs5NHYsTfjWypOKK/nw+wP8dYuDhf3H4IlO6rgBUYC8JaRs+CPPxy+mZsEtrPrgeaRtEu0uWLCAV155hfPOO4/o6GguueQSXn75Zfbt23da3LkzMzPblQRzu90oFAqk0hPipSiK7N+/nzfeeIMbb7yRzMxMYmNj+fjjj/u8T2cioTraIdrR0NDAzp072bFjR+Cvrs5XAkIul2MymTj33HPJz8/nnnvuQdfYiO2111BptMSkDiRv7rVcE5+ERhdOXGp6oF23y8mT10/F2irjp59YrYRz02WcN0XOrAwlyQ2PQDdCX91eCTusiWyTjeOIdjSNhoNMUA1A2salxunsfEJwOByoWxJguN1ukpOTmTdvHkajkaeffpqMjAyMRmO7LIsSkwnNwoVIzScGas/77+O89lrEn8ltvKamBncbgaKr+slHp15I0uE9SD0CWeuWceDCq1pl41yEwmZFlEqozRiCJD2L6LJCZE4ncreLhn6ZRB8voCJ7DI6IqE771FXNZ5nL2avaznAiRq+jmru5Iyei2r4etcOOUi6nKTkdW3RMB8e4/KT1WwWFkpJRkxm84Yd2/e9J/dfO+uzShZE/bQ4zXv07KrsFldWEoFAFCdnZK78+pXribelpHW5/bd2O+3/C+tGTa9EZnd3Xzo7RUS3f1s+wy2ZF4xWwe3omBLdut3U9dX88pykumfDaijbPVu8W0D09596g8nrb5S7o62P48S+wW9d0BrDI5RwbMooRSz7CK5WBAkxxyQxuKeHYXWsWBI8XfoVY6/FCUKrwyhWIMhliS4Z4uduFTvAgyJVIvF7Cq8sxxyTglckwxyQSVVpIY1oGTl14wKVaREJtRhZxhfkYyopROGw49OGYElNpSElnwO4NyNxu9A012PURKG0WCs+agVeuIGvd0qD+D1q/jKaEJM5rqkOekEJsVSlyp4Pw2gp2XH0nKQd2BZ7jY5Nn0ZSWjm7fdlBAXf9M8mfMAwhSNhSNn0rGljUYKkrQNdZhjYpFaFeeyOfKbomJR5DL0Xs8jNy2lriSIygcDjxKFaIEpC4n8YWHqckYQvyRg0SVFiJ32nErlKgdduRuF4JCCRIpHoUShdOOKT6Z+n6DA30b/sNXOIxNSGJjKZx0LuxYh9rYHHhnLDHxHMjKYdLODdQPGUWqsR5dQ23Lu3t5O+F50PplAYWgVPAQUVlKXUaWT5GDJOCWnbV2CfFHD6BrrMOl1aNw2jFHxzNw82qakgdgoJimlAH037uFklGTGbtxBXZBIKysEKcUznvprwhyOabEVGozhtBvz2YsMfGB6+0ff/011zWmZrwyGc2JaRjKi5EKAtPefIbG1HTalppDFDFUFFMWc5bv+vXifWo9PrT+fGzyLIau/ga11URK7k6UFjOCUkl8wWEEmRyvXIrUK6Jtqqf/3i0ggtJmRpTKcEXF8aNGy4g2ydhONqaqzKbAft2Nxe6oHW1DHVHFR6lqZT/pTi3uQK33DjyVOh5Dg71g/GO5v1/bxp6Ny+mkpqamy/twqgwYMIAPv/uOnYsW0fzCCxSXlADwgd1J+TtbyN23h+GSAtj5HpRt77gRWz3y3f8hnf/AnqdgyDwYMg9r5GB27NgR2M1isfDdd9/x3XffAWAwGJg4cSJjx47lmmuuYciQIR02bzQasdk6nie6y3fffYfRaGT79u1s3bqVLVu2cPDgwSArdkNDA1KpNCg3Ul5eHs899xzDhw8nOzub4cOHk5yc/JNX7tFqtUHx6KdKSNAOAUBpaSm///3v2b9/P8ePH+90P4/Hw759+3jrrbeorq6m/NAhwtauxdyvH6XlFRzP248ldwcLgOFzr+Py358oGaBQqvC2ZCSN1kiYnCZjSpqMmQPkjE7sfpySSxBZWyzwfaGEvIizGTD5EgaPmUx0dTnbV37H82/+F41G02UboihSXVFG3oF9GJsaueTam5FIJIiil/LyChKSBhCdpmD+wsUd/l7jdDI57yBapwObSs3ujExGHMnDUVGGZtWPbBs2Ervqp7fw2awW8o4WkDKxVQKtFg1wRwt5S1wiP979GFnrlqGw2wILPP8k5NKHU50+hOT8fTT0z6QhNYO4gsNElRXRmJJOfb9MBFXXWTr92n+Z24UolSLxeoMm08KJM1o8PiXIXM7AxN2VINzZQt5/vJx9WzmGiNQrIMrkCLKOBcmOFi5tjzPi249IPrSLxtSBgX60Fry6KwC37bNDoz3xnduNwmkjrKYSgJrM7ICFpqOFTXcEs67oTLvf1QLnZNe89WK0twJbV8fQNNWTvWIRjghD0DH8i03/grztM9ys9VlSp2t0nR22Q/xWNf/199VTn8SkBS+jNhmRO53UpWe1U+Cc6jkLCmXg3ra9rjK3u1cCsdzt4tLmesZvWUlFWv/Tcu+CzsntRmkxoTE1BxbYAPFOB7O//QCFy4FbpaYpqT9RZUXUpWcF6h53x5rVmYKt9XhhV6pYd/ejZK9YhLwl43daXTUzjx9DFROPR6WhbOBQLLEJ5M65mskfvIzM5SaqtBBzXBKRFcdBEJDIZMhdLqQeN4Jcilerx5SYwpabfk/avu3YImPQ11djjYzGK5dTMmEqR6bNIWvdUlRmE26NlqJxUxmwcz1pe7cysLKUH91uYmoqaE7uR1hDNabYZMZ/8S6VWSMD+SOy1i5GBASVCpnTSUxpIdnLv0IURVR2K5b4pMBzrrZZ8Mpk1PTLRGdqRNVyTwPvgcVCU3IaReOnIa+t4OraCjJtFvQ2M+bYRKoHDiWh4DBaYy328CiSDu1BX1+D2tSMVypF5XYjEwQ8CiVOfRhOXTj6hhrcKjVh9dV4FQqGrfgKr1RGQv5+THYHu6+5HWd0HAcuvIqcxZ+isFlJ27eVo2fPZuy2Hylxu7CERVATm0h8wUHMCSlB45Z/jJKIXqSCB69MjsTrpSktHaXdxrQ3n6EuI4v8GfPIWrvEpxSRSLBExxNWV4UtMoq0fduwRMVRO2gYm2++n4GbViGz23yWTLcLqddLU1Qsg/bv8Ll0y33lG526sEDyMJAgb7Hcqo1NDNq0oiUMIIb9c68LlPuLPl6A0mYhtigPc0wCtYOG+U5EFIktyqcxNR2p6D2pcNruXepgfPB/9t9flzaMiuwxpOzfweCNyxFkMmyR0eia6pF5BNxyOTKvgNrUjMztwqNUYY+MojE6lvsP7sa6/gdKU/sHjamtx762Y2p3s8R31Y62oc6nfIhPor65gbqzz2dycV47oby3+OdICFZM+T3p8lu9o9mrvmVx4SH+9Yb3pGvHU8W/doyMS2JIWCR11ZVc2dDA0oREPlr4HY8+9AAROVdCVS4H5t/PYFcuSjpREjcWweaXYfPL6MKTaf70DrY3RvDRxiK+XboyKDt5U1MTy5YtY9myZYwZMyZI0C4pKWHDhg0kJyfz1bdLqaitw9jUiNPpwONy4/a4Eb1elCoVKpUapVpNTFwC4RGRJz9hZTjjpp3PiInTqaup8v1V+/5dtm4ra7btC+x6aP9utm9Yy6pVq078XKUiMiqGSEM0kVEn/vRhfWPMEkURh92G2WTEZrEgCB50aiXXXHEpQ4cOZcyYMSdv5CSEBO3/AURRpK6ujvz8fA4cOMD+/fuZNWsWV1xxRWCfsLAwFi/uWKgEGD16NBdddBHjx4/n3Xff5YMPPiBMFINishcBl7V8vgXYXFbk7wARjnKSTfv48MooRkYqGBjeM+uSW6pmn5DBJzsbmb/2CKaAHLkcVixHow+nX9YIBFHEMHQycYkpQb8XBA+mhloqi45QkrePI7s3YWo4UZLALNUzbOJMvF4v7uJiBgwYEOT60hqlzcqo9ctQx/XDoQsjb+oFhGn17OmfS+z8lxihj+UiB+ydMBOXtmeL+1OlurQA56F8PO7gMjoBDXAHWGMTOXDhVYHJyG/ldIaFUzx6ElMWvIzSZiW6pID6fgPxqNQobVb6796IJTqOUn1Yu8WD0iugsltRWs0MW7aQlAM7ESUSagdmE3/0IFLBEzTpeiVS5G4XTn14OyEKOtDou92oLCbUxmZyvv/Ml7THEBMQGiQNtYw2G5G0cpfqTJDsSrgLqypl6JrvfMlkgE23/pH+e7cErJpNKQOwRcV2uXhqPeG31u4fOPdi1HZbSwm1xUgFAVEqQe5wEFeYR/byrxCUSuQuV9DCprsCb2X/zA77czLtfmcLnL6ycnRFZ8fQNNUz7c1nUFtNlOVMCDqGf0HuVShxQbtneNeos7CUFfeqP609K1RmE4PW+2Jq/UJ2d4TDnpzz8GUL8SiUSFtih/33BXxZq3ui2Ak6hseDyutF0+J6fTruXWsEhQKvQomhvAh/DgZrdDyPHj+GPioOpddD2bCxxJQWBGpc16Vn9cya1QFtF/52Qwy5c6/1xQk31BJ35AAmjxttXTUVY6fgVSopGTWJATt9cbqG8mIsMQmk7tsGQNHYs0EuR5TKEJRKzHHJ6OtrkXgEBm5di8Qr4NLqMMUkoDM2YomKAa+XrB+/R+5y4tZo8SiUZGxbS/nQ0Qxd/S0yu41xditlCan0a6qjZuAw4gsOorJYSMrfx6ZbHmDg1jXEFuZjTEqjLGcCcreThLz99NuzmfCaCpz6MFY88I/A8+EIj6QxJZ2cpQvxKBWIMjlNyQOY8doTNCf2J7KqBEGuIHPjCuLrKql1u3Gq1BjDI2lM6Y/UK+KVyXDqInx1ps3NyN0uHCoNGpsZiUSCIJNjikvGrVZhqCrHmJSGytKMRBAJq6sibc8WPAoVbqWSuuh4Jn/0KvUZQzk0+zJEqRRdUx0ulY7U/dtx2qx4HXaODB7J3B+/ReZ2I29xgbZHRgWsxn5hrCklHWQ+7yKPQoVMBLXVROreraTk7kTq8SBKJdQNGExk5XFsYeFom+qRu1xE1JT7BHVRJK74KGH1VTj04dgkUraHRTC5rhqHPhy1xYRTpyf6eAFutQaJVyAlf38g3t0v5Hol0qD4bf/4ABB/9CBeqRyJIBBTdARTQgoRVWUBr4U9l9/aokDzKUNPVvJOUCjajYlHp8zy5SFpbJmDkn0J9CqGjCJl/3ZEETRGIzKXC1EiwYsEQaMFhwO501dyVJRKKRs2jsiyQpQeNwlH9lNrbMIam9DqXQoe+1qPqT0RgjtqR+ZytdzXAZgEgaVR8cxouaathXJ/yb2eKhdbz5H50+YEecHACQ8xv7BtNzVjRdrh2rEvUdksjFz/Q2DtWDT+HIbs2MAQYxPj3S421Tdhs9mIiIjAGz+MC948iqW+gWuGKfjtWeGMiuli3WyqQLX/A84Bzhmo5t0Xz6ZKl82Px0W+2XSYdes30NDgcxMdM2YMFosFh8NBTEwMa9euDUoG3B3m/OaPDJs0L/DZ6xVoqq0iKr5zC3TrlGmiKLbbb+eefe1+43I6qa2qoLaqIrAtKiGF+176LGi/sqMHkSuUGOKTUJ8kuV3ezg0U5u6g7OhBGqrL8XQQArFs8TdccsklfPPNN1221R1CgvavjJKSEvbv309+fj5HjhwhPz+f/Px8mpqC3bVFUQwStA0GA0lJSdTW1iIIQpCLh1qt5vbbb+euu+4CYMuWLejbCNkLABOwyBDNwxFqpuhl3BbdRMTuu4j1FKD1NPsaS+v+uZiU8RyPPIuiqLM5HjkBQaam3xS48+J8Ni3+lH3rl+Foia+xW0wUH9pN/+Hj0YUbCI+OA+D9v/2OksN7sVlMiJ3EqOgjo1GoNIRHx+H1CugajYRHxyLtJBuoLMyJLDoOdHoKZ12GSheGCjDHJfFNTCLZUbEoo+PQxSeh/onjVs1t6jp3l45ciUtGTWbAns00pQwguqQAudNOXFE+dRlZxBbmo2uq85VQcTlonXpb7nYxr76Gs9YtJTzCgMpqxiuTYYpLIf7oARQ2K6l7t1KZPYZpbz2NMT6ZiBqfC65XLm+32O9IsBQUCjwKJdHHjyJzOokryGPzzf9H+s71hFVVkHDkAAWiiEkfTuH5V3QpSHYm3Olrq5iy4GVcGj1KLDQnptF/75Ygq6ahvJj9c6/vVLPvL3Hm73vrhUTO95/Tv7qKQaZ6VHY7okzGkalzkEggIW8/qfu341GpKc8ZF9Tnbgu8HSzg2sa45k+bg6BUd2uB47dO+OvodmTlODpl1iklRevMApK1dglqq6lVwiux5XyClQYl46cyaH2wi7/D1D5UpSeu2q3fDZnbSXRZoS+mtpV3w6lYX1qfs7ahHkNFEaa45MAi2hYd207o7qlA7NRoWWyIYaROT/gpWKi6i8ztRiJ6aUoeQFRpAXKbhXnrfsDqdqFy2CgfNZHo8iLMUQmAiDEhDUNFMf6cDf7r2Scu9aKI3GEnprSA4wnJSCqP44hNBKmU2v6DmDL/RV+M8fBxHL75YoauWYw1KgaZ3U7s8QLqMrLwyuQY45JJ278dl1pLWEM1Teb+vkzhCalEVh7HGhGFztiE2tSM3thEff9MisZNJWPbWlL3bSUhbx/HJs6k37plNLndJJcVYu0/iISjBzEmJBMmraZ8xFk4IwyABGNSWqC28YkkbPuRuV0o7HbO+uQNKnLG4wwLpyJrJLNffAQkoHA4UJpNpO3dgqQlY7nEKyJ3OVHazEhEkX5OO8WZw2g872ImfvImSquZ2vQs4ory0TbVI/F6cajU6MxGRKkURBGp4CG8rhKXRoegUKAymygbcRaR1WVIBAEkEmRuNw39snFYLKira0nb68vCHlNyFLdah9bUhNciRWe30SBXMjhvj8+tu6IYbXMD09/4OzWZw/CoNGiMTQFhzBYVQ9nwcaRvX4fc5cSjVFGZNZLkw3sIryoD0YsxIZWY4wXInHa0pmYkoq98mTk2gfCaCoatWoRHpfEJqU0NmJPTMMvkeGUy1EYjprgkFC4Hgkzui7t2uQERpy6M/OlzAmOs3O3Co1AGXMBbjw81g4Yjt9uIqigisrKUiOoyykaeha6xjqbkAWRuXknRuKktVmg9yXVVhNdX4bBZg55pmdvFsGULERRKDl54VbCyb9NKKrJGMuHzt1BZLER7jtCUnM701d/i0uixRsciFb0oHTZcKjVWQywRNeUobVakoojYItwkH95Dfv9MHBXHqRycgyPC0O7V6WmIUWe0bccrk1KVNRKvUsm+fgOZsXszYzevovzq24NCxmQuB1nrlvZYudh6jsxatzQwz7VOvAq0zH2XU1ZagKsgL2jt2NcorRayN/yAyuvFGZdI4azLQBdGYXJ/slcuIqG2isl5B5GYzZCYyMGDB6mo8AmX7+x2887uBgZGSbkxR8GNOQoGGLpIseVxIClcQxJruB64cqSe0tED2Vk7lCW5jZwzZRJFJT4v1ldffZX8/Pwen09GzjjCo+NY8dHrmJvqEDweti//Cn1kFGmDcxg0ehIDR56FPiIKtS4MhVJ1Uhfw8679HVaLiWETz8VmbKCiMI+KwrwgoxhAYv/Mdvdp2YKXqCo+CoA2LJLoxBSiE9OITkz1/SWkEJWQQkRMPLmbVpK3Y/1JzzElpW+ULiFB+xeGxWKhuLiYoqIiqqqq+N3vfhf0/V//+tduJRjYs2cP//3vf8nNzWXv3r3s3r0bq9Xa4b5r1qxh0qRJgc9jx45l+OjRjNcoyIpSo5ydzYNqM8bCHaSrTWhsJl+5AqUELJUg7+Ll8rSUM1BJcEk1lEeM4XjkWRyPnIDVG42gVLYbXJPSs7jq/ie57O7HOLJnM/vWL+Pg1jUkp2e1e5HtVgtWU3O7w8oUCjJHTmTceZcyfNK5yNvFtHVOl67Ycjm7Jp9H7IDMny05VG/oyJU4fed6n6ugLpyazKEk5uf6yuUAdem+xacglyN3OclZ8hm5c6/zWVw9HjReAbXdRnx1GXUDh7LursfIWruYmJIj6JrrsYdFkrp/G5aoWCKrSmlMHdhpnGtHgiVIUDjsyJ1O9A2+ePxhy79G5nKRtn8rFrUGl91K7tipaFsSArUVJE/EAnYs3A1avwypIGAzRLHq/ifpv3dLwKrpt35VZI/pNOZO5/GgasnI3rrvh2ZdRs6ST0nbvx2hsRGD24ElNp7SnMnkzr02sKiOLcr31YB1uWid1rq7bn3OqrJ2fWod4+ovRdNWCdDVAsdnUVJiqPBZKltbOfxZo0/VBbkzS0pZzgQkHjcqi6XDcy4ZNZn0NpNn5uaVHB84NGhbT13gT9RgdxJXmIfM6SS8toLNN98feCZO1dUx2DImBu69gWLyzru4TwRis0zOzonncd6RvadkoToZ/gRJfqWM/JiD/nu30qDWEeV2U95vIIamOkyxyYTXVVA5dAxIpRgTU5G7XYHrmT/tIjK2rT2lUAWZy8mwpV8waMMPuDU64q0Wtqq1jG2oQVCryV7+JVKPQENqOsXjzqH/3i0ICiX1/QfTf9cGdMYmvDIZO6+8nelvPYPcYUdlbsYcl0Ta/m04tWGk1u3AoY9AabNSkT2G8IYajLGJxBUcRiIISAUP+oZaJF6Bhv6DWDb3OqZ++AqG2irsMhmiRIK2uZGNdzyEJcZnUXREGBBUKvKnzUFhs/jck5UqqrNGIBFFIqtK0RibSN6/gwNzr2X8wndxavWoVCYEmQx9Yx2iVILEKxJRVY4lJh6XVocokSL3eChWa4mXyXDpwqjNGEJq7nbiivIxRccRXl2GW6lGZ2xE6vXilUpoSOyHoaYchdOBKJXh1IfjCAsnvK6K2oyhIJUi8QrEFeYRUVPBsknnM9hUT8zxAlLtNgSFEpXVhNTlQm234vV6me12UVBfg23oCA6fezFT3/4HEVXlGMpLKB0xEX1TbUs2cANlw8cy7ov3kHnc1A4citzlRAQakvshsduIqKkkvKYCR3gkKpsFe7gBjbkZu1qLxGn33QevF4kgIBFF3EoVhsZ64j0evBIJ1qhYNKYmKrJG4gwLI74gH6ngQQSMialkbF1L4cQZZG5ZjcJuC1IIt547JYKHqPLCgKu5I8xAZFUZW268z+eNUFbEnJXf4AiLpGLYaOx2O+EeDyPWL6VerSR92zo8ag1yh42kw3vxymQUTD4XtzYsYH3VNtQx6aPXAHBpNcjtdoasXYIgVyDxeikZPRmPQuWL2W9uRGNsQpTJ8SqUCBKJr5SVCAqnk6iGOh5MGcDIqRcS28E71JsQo45o244ok4NUytEps3BXV6DzCmhb3mnfXHR5YA7qjXKx7RyZtW5pl4rFvq5j3hFd5co5NOsyMr75EKdCgdiiqM7JyaGoqIhvv/2WRYsWsXXrVgoaBR5f5+TxdU7GJEq5bIiCy4fIGRzTdeilUrAwUMhjoAGunQq2SSL7qrXUOH6A/Z9z0wUTSEr4N7v37uPrRd/g9ng6tPImDxzK2RffgMXYROKAQQDkbl5JVdGRwD6W5kYOb1/H4e3rgn4764Z7Of+m35/Yz9jIp/96GIVKjVKlRqFU47Rbaa6tor7yOFFxCWSNPZvhk89j8OjJmBrrqCkrpKa0kMiYeEqP5CJXqpArlMgVShoqT6x3bOZmbOZmyo4ebHcOV/7fk6QPG0vejvVIpTKiElKQSCVExiQQlZCKUqPFWXecc8+ZxLnnntvlde0uIUH7DKS5uZmNGzdSVlZGeXk5paWlFBUVUVhYSG1tsGbn5ptvDoopycrKatdeTEwMAwcOZNy4cQwZMoQRI0ZgMBgYOnRou31bI5FIGJyZgdpeBQVroKkY6gu41JzPpdfZoKnCJyTX7QUgRQl48ZUpGKUEGV0K2W5BhelYNGZJPHsvuJHShLPwSn2DjNJqJntV1wspuVJJ9lnTyT5rOoLHTWHuTtZ982HQPpEx8UQnpaHRhWGISyI+LYN+Q0aSkTPupO4lXdGV+6IgV3Q6KfR10iE/rd2Tu3PM1paidlbBUZNJ37keRUvipKNnzyYtdwfVkpYY6pbsuBtv+xNujYaz//NvJDWVPsu2To9To2VlTCIj1RpU1VZiCw4jmzYHkCDKZL7FpCjiQAISaYuQHdtFKZWOBUsQ8crl2CJjkIDP2lh6DFtkNGavl2fCDYyPjkXLyZOrdSbclQ8fx9GpF2KJS8St1Qe2CwoV266/h6S8fQxd/S350y7EGpsYaE9tt3JZfRVDd6zj2JyrydyyKqjvMpcLucuJXanCGBVN9RBflmAgsKiuS88itiif6LKiwLU9WX9PmkyqlZIICLjfd7TA0TbU44iIDHqWZW43UtGLKS454O4rKFVBWaP9+53KM96hJWXKLPrv2kh84WHaCvkloyYx+YOXkHoEKnLGcWTqhYH+jN26lhWtrPs9cYEPuLA21mMoL6YhNcOXAK0lqVJ7t/vLeyUEtz1n/703xSUzaH33EoV1B4dW1ycWqs5oq8QoGjeVIau/ReZyEWWzYvMKJJcWcfyc2cQeP0ZTygC8SiVHp8zGEWEIXG+3WttinT21UAVNcyPJh3cjd7nQmI2UZg0npbocp0rDkE0rEGRyZIKHppT+DNi5AaXdhkelQgQs0QnoG6qROZ0M3LwKl0ZLZGUpXqkMlcWEJSYBfUMNUkFA62nEFJuAvq4GY1IqhspSRCDp8B4kXhFzTAJSQSAxby9Rdis2qQwDgOhF6oWmtHTsEdGB88ibOQ+lzcKgdctI3b+NpuQB2CMMlEy9AGdYOGGVZQzcvpaImgqi3/oHtsgoHOERHM3MJmvDchR2K16pDKnXF1ftlctoTEpj0KYV1Gt05CrklE86D0NsArlzr0XmctJv7xZSDu/BK5OjsZrxKpTgcWPVR6B0OrBGRqN02FoEOgG3Uo3c6UueVpYzgfwZc8lauwSFzcKIw7sxxqcQV3SUiKpSPEoVDm04emsNEq8XLxLCBQ/Z+7ay9ryLGfzj90RWlqIxNdOYmo6h8jgV2aMR1Brwepn0wWvInXa8LccWgdjiI6ibG4krOYbU48aiVOCVSLGHReJRa2hIySBrw1JkHg8ujRZTTAJqmxmnWodXqcApVzC2uhxBSERQq7GHRZJyaA9WQ7QvgR4QVl+NvrEWa1Q8qXu30tA/E0eLl0HbudOt0SLI5eiaG5G5nFijYvHK5MicTs76+DWkHg/RxwtwabUQYUBQqtk7bgT6XRsZkruDmA3LMMYn49KF05zcL+AFlr3yG7wyGY6IKMqyxzJlwUvInQ48KjWHZlzC5I9fb1lzuHCqdUSXFVHffxARNRVIPR5kXgFBocRmiAkk/hOB8PpqVA47Mxx2jB0kiuxtiFFP2hm0aSWlA4f6PAF1YcT1obdNX7m+9xUnyy+xd+qFlOySMVt9IufNgAEDeOCBB3jggQcwmUysX7+eNWvWsH79enIPHWL3WidPb5ViLtyG7OgPULAayneA2HWGca1CwqRUOVAL3/yWYcAwpR7n5CxuTR6Oo99UmvQDKbCoKa+30lRXRVNtFTFJaYyffXlQW5ambmQtBlZ9+ibH8/cxZsZcxp57CXaLmfydGzrcd8viYGPhX+avoN+QEfQbMgKAzYs/4eXfX9mt47Ylf9dGmmqrSB44FH1EFG6Xg6IDu6grLwG2BfbL27+bJUuWEB8fT3x8/CklRwsJ2j8RDoeDmpoaampqfEnEysspLy+nrKyM2267jWnTpgX2LS4uZt68eZ031ori4mIGDx5MUVERhw4doqysjGHDhmE0GqmursbtdlNfX89NN93ECy+8EPidKIpERERgtxhJDpOQEi4lJVzC6IEJzBiVQUa0jDB3PVJTOWz8DWzs4OBySedPkKq9gG1VRFEZPpKKsBFUho/ASDJDGr5DZTZh2F5E5ayRuHSKXsUNyuQKdOGR7bbf8JcX2u98GlF6BUZvXUOMTnfaEka1pfXitqqN9a6jY7bev+2E5v/s1/Aq7DYydqyjaPw0MjeuaO0hTv+9mzk2eRZ1A4egsFnJWrc0EAMFvl29UhlKp51hy79CUCipzBqJ3OVE5nYRV3CYhn4DuxXn2tGkKRU81GZkEVNyDKXNSlzBYQCc+jDWTJlF07plHbTReZbxjoQ7v5DdkWa//65NSAUPCfm5JB7ew7q7HgvsO3brWmpdLjKO5BIeFROUeGXEkk+IK8zDo1RRGp9GREwMgkqF0mppdy+yflwSdG1bX6OO+ls0fhqdFXVurXDxPwetrdMdJqqJOSuglPBbKo9NnsW0t54OxNY2pqZz9vsv0JQ6AEtsQp+4IHdmSUGknZBfMXgkkz/wufI7wiMCSo+AO3ZjHZfWV2G3W1uuW/c8AuBEEh17eCTWEWchEb3sn3cdmRtXBhKkHZ1ywpIvczuRuXqnSGt9zoJSRWNqOtFlhYH6yn0hEKttVjL3bmp3Xftq4dlaieFPJFWePYZ+e7cicbvQeb2YFAoSCg753OKj2ivY/EK30FLCKRBqseQzjp09m/Qd67q1APe/T82JaURUV2APN5BaUsgOpEw4tAuZx4NCdNCU3J/+e7dQOnIS5oSkgKdH6ehJKC0mkvL2EVNyFLwi9vBItMZGlDYL5tgEJKJIWG0VElFA6hWQelyE1VbRlDoAgJiSo3ilEqqyRqCymUnf+iNepwOVx405LAKF6Et25lGoaD24CkoVUmMTqfu3oTYZifIWUhk2mn57NlM4YTqTP3gZW3gUkVVleGUyIiuPk595IW5dGC6VBqXVjMzrRVAokYoicruNtAO7sOvD8SJha5iB4a2GCZnbhaapHrnDgcJpBwm4VSrKxp5NyqHdeBGxRMdjSkwl4WguXpmMhgGZxJQV4dCFc2j2ZYF4+CErvkZbf5SYphpERGQuF2qLGaXNiiiVgQhywYNdBFEiZfprT6J02JB4BewRBrxyBXKXg/iCg+y55GZGLf4Ypc2CS6unJtNnzY49egilw46usQ6J14sIqCxmRKQoHTYsMfEYyoqhxcNN6nYTVVECgDUmHnN0PNqqUsrkCsJFEWNcEunb16Nw2lGbm6jNHE79wIHoG2tRm5pRm5qxR0ZRM2hYK4VPcBjO0SmzGLJmCfbwSPT1NQgyOTWDhhFXmE9UaTFKuwW3UoM5Op7KoaORu5yM3fYjWouJWGMjMkBfW40pSYEtMpoD51/B2e+/QMSeMizRcdQMzCZ9y5qAkN2Yks7QdUswx8QTXluFIJESWVNGk6w/sSVHcYT54u1lghtPiwu5R6lCJngQZXJMUXFomurxyOQIbbKO6+qqyVq3FIXdFiSYduUZ1tk72DYRWdt2xm5dy3Jg96TzmJG3u1dCsczlRCF4OxRgS0ZNJuvHJYHKAz9F7ezO6DK/hFaHR965SBYeHs7cuXOZO9dXMtDtdnPkyBHKysqQJQ6DxGEw9UGwN7Pxo2ewH1jCqPBmYhX27nXOZUFVvYsZaqDmMNQAHhE74TT2z6BxSH+a1TZM9aswqpKweSOwqWO4/7WvsDQ3YGluwNzcgLGumorCfKpLjtJQXY7QosQRvV6O7NqEPiKKsedegtvl6PZ1UyiDE+66e1AjXCqTM2rahYQZYmisrsDS3ED5sWBLtwpQAq0LvZnNZg4cOEDJgQO4AO8phMT1StDOzc3l+PHjZGZmdmhB7avfnMl4PB6amppobGyksbERuVzOuHHjgva55ppr2LNnDzU1NZhMpk7bGjlyZJCg3VlcQGJiIhkZGaSnpwf+Xn75ZT766CMcjuCHNlINA8KlxGplxOokJFT8wIanjxKtdJOdEonEVEH1H/WohbZ1qU3g3Qt1Pboc7bDLI6jRD6FWN5ha/RBq9YMxqpIDE5+fvshseSah8IooXE5UXuEnSTrkb8u/uG1tvevsmK33H7R+GV6Fsp2m2Re/eyGDNq1ElEjJ2LIaucvZbr/MzSvJnz43SNPdmDyAS+urUCalUT1kRIsVXInM3ZJRXALRZYUAgYzD3VnstxYspYKHuGOH8MV3phJZXUZDagbRZYVYouOZufIbrM2N2NqUOut6UdCxcNeZMkJlNiFKQOIV0DYZmfbW0wF3Yq+xCZ3DRlN0PDK3C0Gp5tjkWQEhW+Z0UjpiPOsHjea8ygL0TQ1BMbn+a+EvWdTRwqZtf6WCh0kLXqYuIytQz7b1ubVTuLRYp/1u8EBLohpnIDbSnyUXYMiaxaiNjYAkUC7HFJdMTPFRImrK0ddXs/Sxl095EdOVBUQEIiuPBwn5E754G5nbjSM8gnV3PRbwLPAv6JI/eRO7VBa0mOyOtaNt6TlEEbWxmbTc7YCIR6nCrdbiiIji6JTZSLwCQ1d9i6clrrLt+63zeDqt5d3eq2SSLwu20+euXpsx5JQF4jDBw7itq1B18L73RZZfOKHEyPn+M1L270DqceOVK7BExaB1OrDLZOisZlxaXavkUC25B9pmV1aqAvcpZ8lnpOZuJ/ngLhrTMlopdForMoM9d/yumpb4ZJb+5UWmzH8BpdXIVFMjoj4cCW7q+2diCzcgd7uIqC5lz+W3YDfEkDdzHmpjI0PWLMajUvuSSslkGOVJeKVSNKZmBuzcgCkhBa9chkTwoDE1UTLmbDxaHTKXrwxWbcYQBKUKudNJTPFRJF4BldOO0+tFbTVxfOxknLpw5C5nu3vgiDBQPuIsUvZvwxSXTGL+PkxxyUz+4GXs+ggSTU3YIgwo7VZkgofsNd9ROGYaXrksUN0BABE0puaAm7MlLpm76ioRfvyeCkM0WWuXkNhSB1zp8CmjPAolZcPGonJYMSakoDE2oDU34VWrKR86Bq9cTnh9TaBet90Q03L/wzg26VzGb/kRr0ZN4YTpDF23FIXL4XM7l0haLNq+yDLsVuRWMxIJWKNiOXr2+Ugk0G/XJqSCwITP3qYxxae0aEoZAEiIO3aI2CKfa7dDH05tRhYaczNyux1dU53Pw8DYhCCX41GpMcYmYagqRebxIMjlSNxun4LC48Ej8QVDRZeX4FGrkTvsSD0eFDYzUkHAaohFbWxCAki8XkrHTGmVK8OJIFcEZbIGEUGhxBybiKBS4QyPoH5AJpGVx3GptchdDuT+RKUSyDh2CJXDhlujR+b1ICoUSFsy9g/asBy5047E6xuDE44eQCoIOMIj2HHlHYz/8j1UFgtOvZ61dz/C2f99CYkZ9A012AwxqKwmGvoPxCuTQ0upMY9KhUurwxifQsqBnZg0WlROO/JW3nBKq5nB65YSU3yU+gGDOnRz7swzrC0nc5fOXrkIl+jFLZX02ttG7nYxdM0SlC5HIBbbP0fqa6sCnk6NKQMQlMo+VSz+nCgUCoYNG8awYcOCv9BEcvadzwPP+z43l8LxLVCyCY5v9mUq7w4eEXLdaFz1JI80kazed+I7hwj7XHhUKprGp2MKS8ESHYslMQ7LiBSsF47CoozFJDNw+PARDmxdy8Etq2muq2LYJJ87dkLaQJ76ahsNVeW8ev81xCT1Qx8ZRX1VKRk54zHEJiCKIm6ng6KDu9GFRTB47BQAkjOymHLxDexc9Q1OW/uQV4lUilqrJza5P3f9awGqVhVH3nr4lqB9VcANgI4TuabAlyBa5XBwnduNFVgdFcXxXpZ/65Gg7XK5uOqqq9i4cSMjR45k586dXHnllfznP//pNMi9N7/5KRBFEbvdjslkwmQyYTQaMZlMnHPOOShaDR6LFy/m888/p7GxkYaGhsC/bWsqT5kyhY0bg82+JSUlHDt27KR9KS8vRxRFTCZTwNJ92SXzUIhOJE4TbnMDTmMtSm8jX77yL6QuCziM4MwnK24/s+ZKiFRridVKiNNJiNFKUMjaXtsK8FSAB/DlC6DrokzdRCqHqAzsYf1Ydbge28ALsSROwKyMbydUd8SZ5t5zqljl8iDN7E+hPAhKptRivRMb68jevaHDY7a16LmAkvFTO+hjGEenzGbwuqUou9Bst7bqqcwmJmxZzVGPB1dLhlhEAvGtEkHAo1QFXHBNccktSZA46WK/tWApdzoIrylH6nIRVlfN8dGTcenCaEjNIG3fVixImWBqYrvZ2GFbHbXdkXCnbazvUAD2n7+mudHnSmr1HWfqu/+kMTUdRW0le5RqxjTUUD8o2+eOvXZJQMgWVCoEhRK7Wsuh8y4hZ/nXRAsChopi9l18/UkXNh31158wLCV3JwBV2aMBnxXT/yzACYVL6+dA5nIFBNeosiIaU9NbWRt9WXLVpiZScncGsvBuueV+hqz+Dn/NWJdOT+bGlYFY/d7QlQXEL2zhEXBp9TQnpQXqujv1YWy65X4scYlB7bl0YeycOJPvjxcwu00c3skS/bR29RMUihZFQxMgInf5FhmFZ01H1pLwLv7YQeQOO4JSSeGkc4P64g8lGLR1DZWtyuh0dM7+Z8+vADHFJbcoQiS9FohVdhtXNtWjsVpwpvbvtYWqO/jbjc/PJbqmAntYBG6tnkPDx6LYtYnEsEjCTU2UjJ6MPTIq8LvOXPoB5G4ncocdtdmXTfnQ7JN7C7W9f02J/Ri+Zytu0YvU7aIpsR82QzTbr/4tE754B5nbzaD1yzh44dWAyKBNK5G7XJSPGE/R+GlM/Ph1n0uwIQaNxYTE60XT3IgtIoqI2gq8cl8+Ef+YB74QE6nTSfzRg764YqmUJkMMzvoaZLpwPAoV+TPmtlF4+O6BoFRx4MKrKJh0bks4iZK4wjyUZjOJefuxGGKQCW7Kh4+l/94tyJxOMnauxamPwBYZDUiQtigAJKKI6HbjUmlIrDyO0uPCc3AXQ0p9ycPCaqtQOqxIvF48ShVIpAzYsxlbeBTGpFREaSxaYyO43UTWVqBpbsQaFYsok7V7ljO3rKYmLhlLUjLIFRRNmEbGltUorVakCHilvrh0heBB5rQjAdxKFc1xSQhKJRIklOWMI2P7OiJsVsLqq1n9+yeIKzmKprkRqceDVPAgc7tQ2SwUTJnFoVmXMfWd54jP34/C5UQi+pLACQoVYY21iBKJz1ookaAzNiIRBBwqNaLMl1BKkMt99bA9HnTNjUSVl6BwOtDXV4NEgkMfjjExjZQDOwPeClk/fo8gV5A/7aKAYs4REUV5zjhAgspqRtvcSEzJUUzxyeD1oG9sQGtqJPnQbhqT+yMTBOoUSqI8LgSVLwRQgsjArWsC703x2LOJLT6CVBAQVCp2XH0nyXn7AuNDU/IAYspL2HzL/Ux7+1lkbhfaxjpEudx3fVoEm/hjh0AqpSZzGEigOakfYkM1Y+prMK/7npLU/vg9m5R2G3UDBnFk2px2Y83JPMNa051yfP5EZGqblczdwa7E3RGK5R4PcqcdjbEpUPItd+51KK0Wpr31NGqTEZdWh1cmx1BZShMnX2v8qohM8/2NuMb32doAVXuhci9UtPxrrmz/OwFwiQGhmpFKX1io/7NDRI6TWEshse7OhXePRIFjfCT2SYk0u9Pw6FbjKtyLXR6BQxHB0foKZg0Ao6MEc00xkW6Rki1LOOACT4uucNN3H2OIT+avH60FIHPURDJHTcRpt7GzJeN/REw8wyady/BJ55KRMw6ZvGMl0F3/XIAg+GLQPW4X0uYmRvy4BJWpmekqNSsGDObY4a387be/4ezCQpzV1RilUi4fMYILr7mmV7egR4L2yy+/zObNm9m/fz8pKSkcOnSIsWPHMm3aNG688cY++01nlJaWUllZic1m6/LvwgsvDKp9VlBQwK233hoQqv1/Ho8HqQRkEnz/SqGo4BjxsdHg9YIoUH54J5uXfY5SJkEhhTAZROtAGS5DKaPlT0I/5XHI/RIEV8ufmzuGuZitC8MQpiFCqyRcLUenlBBr0BMboUOnkqKRg+j8kcL7I9DIRJIUEjKVMHtER0KqChbfE7RlnBzGDe29S0O3UUVAVH8wDIDYLIjL8v0blQFyJc1VVXy3+yXSwiYSrupZ1sa+ymx5puDQ6n5y5UFr6124x8PgjctRRRg6PWb7skU/dNhHR4QBlz4cUS7vUrPtiIgKuodKrxeFxx3IEIsEJIKAvr4aS3QCNkM0ey6/NbCADBYk2i/22wqWeTPnEVlxnIQj+3FLJERWHmf7dXczbuG7uLR6lE0N7NOHYQuL4GQF1roS7oYtW9ilAJyz5DMEtYbyoWNIPbgLgLiCw5RGRpNcWkh9fDJyh43sFYtQ2q04dOE0DUnHo1Ahd9qZtH0NNRnpHLzwKsCXbMwRERXUv7YLm87664/xTs3dTkruTs5qqGWz08GYLatQyeUdKnn8757fFdzvft/W2ugXyuMK8nxuqS4HmeuXE1eYh1QQMMUn4VFp8Kg1p5R1vDMLiN9aJCLBFWFgx1W3M3DrWmozhhBXmIcxIZUBe7ZwKCax3bPj1GhxdVBBoDuJfvwCm9JqQeGwBZ5nj1KJ3Okke4UvAV9S/j4kHsGn4U8ZENSOP5Sg3ONB0ZIbofUCtfU5t1ZY2aJi2T/3ejI3r8SUmIq0VaKwngrEglyOTSrFrtNTcAoWqm4fT6mmIS0DbVMDbq2OxpR0HC4HR/ThRKk1OFRq4gsOoWluDCgkOs84v5iEvP0ICiVWQ2zAc6N1qEZn3kL++2coKaD/7k14pVKkIjRGx6J1O7BFGBj/5XsYE1IJr63wed64nGSt+75NGIGE+n6ZZP24BLXZiKvFQiLxeomoLsOt0iARvcQfO0Rd+hBs0TEcmzyL7OVfMXDraqQeAUt0HF65HKXLxfqwSMaqNSTl72sRRuYGwg9a3wNBqcISlxgYW5sSUxlUsAKvTI7C5aRkzNmYE5M5dvYFzHrxLyhcTtTmZqoHDqE5OYPU/dt85+Rx05zcD7nbAaJAmMMGDbWoa8p9lm9RBCS4tDoKzjqXlIM7CK+rRmtqxBQTh6BQ0Zg8ALnbSURVOaJUgogEhd0erBxQKPCoNNi0OrQyGWqrCX1DLU6tL0mmzOlTNjgVSrQt3h1iS6iL3OkgMT+X2vTBGCrLsIcZUNosSAQvo7/9kB3X/I6BW1aBRIJbowso8mNKfMaM5sQ0EvP2+2LIBQGPSo1UcCNxe3FptDTHpxBVeRylwwYiSAWBGK9AcfpgdFGxpO7bispuRZDLkXrcRFSVIfO4sRhiKTxrBo6wSBR2GzlLPsOvbHOGhQc9a36hUmk1M2LJJ8SU+KpilI+cwJGzLyBz80rS9mwhorKUsNoqLDIZMW4XHq0eheilfNgYDJWlyJ0ONEDdgCw8ai0etcaXCC5jCCkHduFVKIPGB6nLRc6yL7BHRqFpbkBEgkQUsRlicKu1uHVhlOnC8NcE9yhUbLz9TyR8+yHhVWUklxVS09zQQVhGx2uVHo09JynH51Eo0Xs8QfNUT7xtHBqfsnrk0oUBRbPSYibmuC+kzKXVUZM5DAlQmzEEJPSpYvEXhy4aBp7r+/NjrobKvZgLtnFo0/f0C/cSK61APpKAUM0+FwxRQJ7b91kt8QnfHYSJtkYuutG76tC76ogFaM4L+n4acOf12g5/a3eLmF0iJieYXc3E5N6OWx6GW6bBI1Ux9mwHxlHT0MYkozYkIEhVCNLjeOqrEaRKPBIlHqnK9/9SJYJUiYgMQSpHlMjwymV445TUz51D5poVRFqtXF5VyI+xUYzYvQuJV0SdkID61lsZ30kZvu7QI0H7o48+4uqrrw64NmdnZ3PBBRfw0UcfdSo09+Y3HZH7Ox3KBTPwuN3ogTDJiUhESYuwLJNKkEkgeum7CGtU4BVA9NLP42bpFEuQQC2TaJBJO3hA/htcnPxu4O77uyMYGWHR7UFbbksBUiSAo+XPT0O7TQMNEjqLrfxJUOggIhnCkyA8GQz9ISrdJ1hHDQCNoVsW6t7QV5ktzyR+DuWBSxfGgZETMWxd261jdqeP3dFI+8uR+O+hzO0my2YhrjCPugnTODT7MjK2/UhZznjiC/JQOG2AJGiRb4mOR+52dbjY70iwBAnVWTkobRa0zfUtCYtW05TsszZUxiXjLTiMrIMkL23pyr3tZAJw7tzr0DTVc/b7z+PU6tE21WOPMDDw6AFWK5RE6sIIb1nc2COj2HvJjYEyI0NWfI22sZjsVd+SN/sKDl54dRfx4yeufVf99QvbcYV5qB0OLq+rQpuajjOlX4fvk//dM8Ulo3A6Au73prjkdu+g3RDDj3c/Ss73n5GYtz8QK1g+cgIehQqV1YzU7Wpxle9dWERnz5ugUPisRSPGc2zKrEB2cUGhojZjiM/ym5jabUGxp4l+2gqBfuVRSu7OwHUoGz2R/Bnzgtrxt+uyWTG1eLsY2rxHbS2vbe9t63estwKxR6FkSWQM8kmziD0FC1V3kbkcRFWWBoTsqPIidFYzB2Vyvr/qTi5e+SVSQWixIF/VoeCvMpsYsfgTYovykSBSOmoSRROnB0rrtQ7V6MpbSFfncx91qbUo5Eoq1BJi3G7cYZGk79iAKS4JgM03P4ApKRWgw/crf+ZcBm5ehURsRupxUzlsNKn7tiMVBBQuB6a4RLwyOY6IyECMv1cq9dVVlooIcgWWqDicdhvNVjPH07MYVFVKXGEeh2Zf1uk9aD0/ujU6HGGRqM1GSnMm4NKHUTJqEuk7N1CfPpiEIwcQkSB1CyQd2YfdEI0olyFzu9Gamjg8bQ76w3sJt5iJsluRATKP26fEiI7l6Nmz2XvZLQxd+Q3ZKxchdzqIriylIbU/TalZxBXk45XLaEgbyKbb/0T6jvVBz6OgVHF45lzKDxzggvJ8Eo8eoCk5DV1DDTaZDJndjsbUhM5twQu4lCoULQtYnbERq1xGxvZ1OHXhWGNi2XTrA4z+7kPUxiZmvfgIDl04+qY6BLmCpvQsXxZ1p4NzX/6bzzNKgq92uUyBwu3EqdIgE9xYYhMRtFrskdGIZhlStxuZx41aFFG6XKisZqLKS0CU4AiL9FU3cPiypYtyORIRRLkM0SWQmrsdEQnlI8a3e958ITmudt5LHoUKa2w8h8+7lKSDu1HarUgFAZUo0iSKODRaSoePI7K2EhFfTXOXWkta7nYsMXGU50ygYMos+u3ZHPBC8+cPKRk1mSnzX0BlMWOLjGLjrX9g1HcfoTb7XMWVDlvLGHMxbq0uMIZYYxPYes75RO7ewqi4JIasWQz89N6EKruNS+ur0CalBc1TPfG2aatoTj68B7XZiDk2MSBkt8290ZeKxV88YQkw+AIs4SN5b4WdtBHziIiKJtxRRdzgQwxZtQS9sQb1YRMqjxml2oZ0pNwnbJ9GNAoJGoWEOL+1xLy//U5qwLIHLKd4sCgRSn1KhXMBijmhTHjlKaIkXWd274puC9oej4e8vDx+//vfB23Pycnh7bff7rPfADidTpzOE6nljUYjw+Nl+FJad+NkvSawnfgoAxQn0br8WnGhRNRGIw2LQ9RE49XG4NUn4tUntPo3AVEZ1rkgbRfB3tjlcRobG3E6nTTUVmJ3dDP5AqCyWRm7aSUemxmzNoyDYyYzbPdmNJWlpC18n11TZuHUnswm6aOpvgZB8NJYV4VU1kWNwS7wCl6MDbXUaJQ9bqP18TVOOwM3rcRqO5FeIWHpFz06n56islnJ2rySeq+I3WZBIpV0eUyVzdqzPjZ3nF2y7T3cPHQEU3ZtxOByYjE2UVVfS/mQkcg8buSjJjF20wpsXi9VdVV4FEpqh4/zZU31uBHkCjx11UHty90uEux2lILArmHjcDY3+rZJpJgGD0dtsxBfeRyLzVeve9P5V5G4ZRUmqYyGpgbcFcdPeu1qW/rnbG6E5uBnvXbUxA771frcq7R6Mq2FmDRadA214HIy2uVgYWIKwyzmE323WaElpqhm6FgySopx2GyBa9Fduuzv2CnoMrMZvOJrxJZnYVfGUIxt9lXZrYzduBLR2ICquoLihBQEr+BLNna8AJPT7nsHz56Fs8WCp7JbyTA1I5qbsSlUVMYlsm3EWTg0OsZuWommtjLoN6f0TrZ53mqHjERrbmb4ym/bjRfWiGhsDTU0HC9s9+y27YP/vP1t7Bo2DqfbRfmwcb5z8I89rc470Af/Pg01YLMGX4ehozG2aWfAl//BAzSIXr4yxDPaasJ1kuexy3vb8q509Cx2RWN9DXag2mLC24334VTwjysVYREIkdEgCugddtxuF17RS6nXw5eX3cKIHetRtXle/JgyhnLW2sUklRYhup0UZI1g05gpOOVKKi69hXmfvoW2voaJrz5BZVo69RHRgbGh7TM+aN0yBFMTUquZPYNzcBccoqZfJsOOF+AWRXRVZRzIyqEAMXBd294Dld3KwI0rOZo+mEy7FYdai+HoYeqjYolsqMMrlRFecZy9Z2Xw48iJUFXG2I0rcdjM5A4fS3LxUbx4KRswGLPFhHhoL2aXk4Lk/sgED8nfftzh89Z2bD2aMwF9/gG0CgXa48cwu+yMfftZ6hJSyB8wmMqIaBLKStAZGxEkEpojollz6x+YueRTtGYj+oI8vh93DtNKi1ApFKgEAYUo4lBryB+Uw/pxUzHarJRPmMbOAYO44Mv3iaqrQrRYiT6wC4dCxdHRk9k2fS5WJBzv4Hn0Cl4azUZs9bVUacOJKishb9BwBKmMAfkHSGtu8LmyA1XRcYQ7nWjsVpSmJsSWfB7Nhli+u/QWTNFxlF14Dde/9Qza5gbUDbXUJaRi1+qpSe4PQP+jB4irLEPucWEyxLD8sluYtegD1FYTUpeT+rhEwmqrwGrh4PCxSLwCWQd3ozI1o3M5GLprHVK5EqdUilulwaqPQGs30xQRjd7SjNRpJ3nHOo5mj8apUOB0OHBodawbPh5r2+et5X65zc0YpTJqB2ThUSpQNNSQ/smbvhrcNgtWlcZnmRc8CGYTR1IzSK4oQVdT6XPrDotCazbiAZxOFyaLmSKXiyL/2FJbScLSLzgwdgqDtq/DZbfiUChZ3HLNjl3+G8ZuWonaZib22GGqhoyg1GrG43IGjSF1VgsbomIZ5LAjmpsB2DnyrHZzxemkqbkRkFIveslv8w77x1uX3e6bI5uD58i26zXT0FGcVV1OUmkhbqWaqrBIbOZm7P5x3t9um+e2L9aOp4rN1ITFbObIkSM0Nv40174tdXV1WCyWwDq+GjgqyeLAmCjGbVwOLXqJ3WfPgnAJUZ5aDJ5aDJ46woQmwoUmwoVGwjxNhHm7F7Z3xqCW+Cz2e1vlURmi8G33epDgUwiKYtu8VidHInbzV83NzRgMBhYuXMiVV55Iq/7aa6/x4IMPtkvG1dvfADzxxBP8/e9/7+m5hPiFEQbcChiAJk4kIggHbmm1fT7B2QDPdNr2fxFwGe3P8+c85v+3d/exVZV3AMe/YOOlTSiVjgbQQlMMFKKjkhkMkTjMJFTcNDG4bMb2j5bMvzUGYxASgzHGLGR/yJhMQxwJLxODvKhNFyiwLAHSpqWxxLliuDA6FdMXXlqY0P1xz8XWFvt2eg69+34SQu7Te879Pc/5nec+v/bec8KK8VbHcFqw/xz6H8PJwDWg/10ab22gq0ImgJ8Avw36k/5gTxuwG7gwzNcYrnTfpwPzgFagGGgBHgU6graXSF1bcKAcHslYDKb3sU0b6JgmgNXAMuBz4D98nwfpPh0CtvSKbxrwByAPaAja0/smeN3LwDbCH/uw5otbXfyEXvv6sT7cQ+qTTqVANlAf7KN3TPcAlb22eRc4N3gXx70fHqPtwK+A/ODn2Xx/jCYw8Finj8E04Kek1na1wGa+P1bzgd8D/wVOAn9i4PFNAFXAL4DTwBmgBngmeJ0yUudoNfBHbp036f08SmpeWRr8fwnYBGwI+vZP4PngZ+kc2x68XgL4c7C/dL/3Ar8ZYAyg/1j+8Nw8H8TRSWp+eSnoz/IglhvAP4CNwBRS5+2koD2XVI6mb1jTQWre+ht9x7kk6M/C4HF9sL/Bcrn3eH0OtAev+Qyp45pF6gN97UE/ZpKayyeQOp6/A071GoP5pPKoDThA6jz7JbACWEAqR64CO4Pn/Dxo7w5iuRr8+xfQGLRPDfY5hdTXUS8BZ0kdi78H4/0M8GtgIvBv4HjQv3eD8eptoNzvDvr0fBDTRKAriCl93eOfATOCn90IxqseWBw8PhHsY6Dz5q/AqqAPO4MY09Ln0XXgLwz8fj7U94qxNtD7e9pQ3yN79yUXWERqrBtInaP/D/PvWLhdcmSsDbWfLS0tFBcXD2vfQy60u7q6yMnJYevWrVRUVNxsf+ONN3jzzTdpb28PZRvo/xft9vZ2Zs+eTTKZHNW9zKTBdHZ2UlhYyNmzZ8nNzY07HGUwc01RMdcUFXNNUTHXFJWOjg5mzZpFW1sbeXl5w9p2yB8dz87OZvr06SSTyT7tyWTyltX9SLYBSCQSJBL9vys2ZcoUTyZFIjc311xTJMw1RcVcU1TMNUXFXFNUJk4c/lcLhrVFWVkZH374ITeC+zN2d3ezb98+ysrKbj6nubmZvXv3DmsbSZIkSZIyxbAK7XXr1nHu3DmefvpptmzZwsqVK8nKyuKFF164+Zxdu3ZRXl4+rG0kSZIkScoUwyq0i4qKqK+vp6SkhNraWpYuXcqJEyfIz8+/+ZwFCxbw5JNPDmubwSQSCdavXz/gx8mlMJlrioq5pqiYa4qKuaaomGuKymhybcgXQ5MkSZIkSYOL54ZxkiRJkiRlKAttSZIkSZJCZKEtSZIkSVKIhnwf7dtNU1MTX375JXfffTeLFi1iwoQJcYekDHTt2jUaGhr45ptvKCkpYc6cOXGHpAz29ddfU1tby7333suiRYviDkcZoKWlhaamJgoKCnjooYdGdB9QaSicvxQF12WK0mjrzXFXaJ88eZLKykquX79OYWEhdXV15OXl8fHHHzNr1qy4w1MG2b59O2vXriU/P59p06Zx9OhRnnjiCd5//32yssbdqaPbWGtrKy+++CKHDx/mypUrPPvssy5UNWpr165l48aNLFmyhFOnTjFz5kyqq6u566674g5NGcT5S1FxXaaohFVvjrtfbXd1dbFt2zbq6+v56KOPaGlpYeLEibz66qtxh6YMk5WVxdGjRzl+/DgHDhygoaGB/fv3s2nTprhDU4a5ePEiK1eu5PTp08ybNy/ucJQBamtref311/n000+pqamhubmZjo4OXnnllbhDU4Zx/lJUXJcpKmHVm+Pu1z+LFy/u8ziRSFBUVMTFixdjikiZatWqVX0eFxcXU1paSkNDQzwBKWPNnTuXuXPnxh2GMsi2bdt48MEHWbp0KQC5ublUVVWxYcMG3n77bT9CrtA4fykqrssUlbDqzXFXaKft3r2by5cvc+zYMT777DP27NkTd0jKcN9++y0NDQ089dRTcYciST+qqamJ++67r0/b/fffT2dnJ8lkkqKiongCk6SQuC7TWBttvRl7oX3+/HmOHDnyo89ZuHAh8+fP79O2b98+2traOHHiBEuWLKGgoGAsw1QGGGmuAVy/fp2KigoKCgpYvXr1WIWoDDGaXJPC0NHRwdSpU/u05efnA9De3h5DRJIUHtdlisJo683YC+2vvvpq0N8O5OTk9FuQbt26FYDu7m6WL19OeXk51dXVYxSlMsFIc+3GjRtUVlZSV1fH4cOHmTx58hhGqUww0lyTwpJIJLh06VKftvTjSZMmxRGSJIXCdZmiMtp6M/ZC+4EHHmDHjh0j3n7SpEmsWrWKNWvWhBiVMtFIcq2np4eqqiqqq6s5dOiQ30PTkIx2XpNGa86cOSSTyT5tZ86c4Y477mD27NkxRSVJo+O6THEYab057q6G0tra2q+trq6OwsLCGKJRJuvp6WH16tV88sknHDx4kJKSkrhDkqQhefzxxzl06BAXLly42bZz506WLVtGdnZ2jJFJ0si4LlNUwqo3Y/+L9nCtX7+ezs5OHn74Ye68804OHjzInj172LVrV9yhKcOsWbOG9957j3Xr1tHY2EhjYyMAM2bM4JFHHok5OmWS7777jg8++ABIXdzliy++YMeOHeTl5bFixYqYo9N4VF5ezjvvvMNjjz1GVVUVx44d48iRI4NeO0AaLucvRcV1maISVr05oaenp2eMYhwzBw4coKamhq6uLoqLi3nuueeYOXNm3GEpw7z22ms0Nzf3ay8tLeXll1+OISJlqqtXr1JRUdGvvbCwkLfeeiuGiJQJrly5wubNm2lsbKSgoICqqirvc6zQOX8pKq7LFKUw6s1xWWhLkiRJknS7Gnff0ZYkSZIk6XZmoS1JkiRJUogstCVJkiRJCpGFtiRJkiRJIbLQliRJkiQpRBbakiRJkiSFyEJbkiRJkqQQWWhLkiRJkhQiC21JkiRJkkJkoS1JkiRJUogstCVJkiRJCpGFtiRJkiRJIfofvk8+LyorZ2wAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "# Plot the histogram\n", "ax.hist(\n", " obs_dist,\n", " bins=25,\n", " label=\"Histogram from samples\",\n", " zorder=5,\n", " edgecolor=\"k\",\n", " density=True,\n", " alpha=0.5,\n", ")\n", "\n", "# Plot the KDE for various bandwidths\n", "for bandwidth in [0.1, 0.2, 0.4]:\n", " kde.fit(bw=bandwidth) # Estimate the densities\n", " ax.plot(\n", " kde.support,\n", " kde.density,\n", " \"--\",\n", " lw=2,\n", " color=\"k\",\n", " zorder=10,\n", " label=\"KDE from samples, bw = {}\".format(round(bandwidth, 2)),\n", " )\n", "\n", "# Plot the true distribution\n", "ax.plot(kde.support, true_values, lw=3, label=\"True distribution\", zorder=15)\n", "\n", "# Plot the samples\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)) / 50,\n", " marker=\"x\",\n", " color=\"red\",\n", " zorder=20,\n", " label=\"Data samples\",\n", " alpha=0.5,\n", ")\n", "\n", "ax.legend(loc=\"best\")\n", "ax.set_xlim([-3, 3])\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparing kernel functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the example above, a Gaussian kernel was used. Several other kernels are also available." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:52.450087Z", "iopub.status.busy": "2026-07-15T16:58:52.449820Z", "iopub.status.idle": "2026-07-15T16:58:52.458222Z", "shell.execute_reply": "2026-07-15T16:58:52.456905Z" } }, "outputs": [ { "data": { "text/plain": [ "['gau', 'epa', 'uni', 'tri', 'biw', 'triw', 'cos', 'cos2', 'tric']" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from statsmodels.nonparametric.kde import kernel_switch\n", "\n", "list(kernel_switch.keys())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The available kernel functions" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:52.460944Z", "iopub.status.busy": "2026-07-15T16:58:52.460692Z", "iopub.status.idle": "2026-07-15T16:58:53.913453Z", "shell.execute_reply": "2026-07-15T16:58:53.911828Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure\n", "fig = plt.figure(figsize=(12, 5))\n", "\n", "# Enumerate every option for the kernel\n", "for i, (ker_name, ker_class) in enumerate(kernel_switch.items()):\n", "\n", " # Initialize the kernel object\n", " kernel = ker_class()\n", "\n", " # Sample from the domain\n", " domain = kernel.domain or [-3, 3]\n", " x_vals = np.linspace(*domain, num=2**10)\n", " y_vals = kernel(x_vals)\n", "\n", " # Create a subplot, set the title\n", " ax = fig.add_subplot(3, 3, i + 1)\n", " ax.set_title('Kernel function \"{}\"'.format(ker_name))\n", " ax.plot(x_vals, y_vals, lw=3, label=\"{}\".format(ker_name))\n", " ax.scatter([0], [0], marker=\"x\", color=\"red\")\n", " plt.grid(True, zorder=-5)\n", " ax.set_xlim(domain)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The available kernel functions on three data points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now examine how the kernel density estimate will fit to three equally spaced data points." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:53.916232Z", "iopub.status.busy": "2026-07-15T16:58:53.915971Z", "iopub.status.idle": "2026-07-15T16:58:55.352027Z", "shell.execute_reply": "2026-07-15T16:58:55.351092Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create three equidistant points\n", "data = np.linspace(-1, 1, 3)\n", "kde = sm.nonparametric.KDEUnivariate(data)\n", "\n", "# Create a figure\n", "fig = plt.figure(figsize=(12, 5))\n", "\n", "# Enumerate every option for the kernel\n", "for i, kernel in enumerate(kernel_switch.keys()):\n", "\n", " # Create a subplot, set the title\n", " ax = fig.add_subplot(3, 3, i + 1)\n", " ax.set_title('Kernel function \"{}\"'.format(kernel))\n", "\n", " # Fit the model (estimate densities)\n", " kde.fit(kernel=kernel, fft=False, gridsize=2**10)\n", "\n", " # Create the plot\n", " ax.plot(kde.support, kde.density, lw=3, label=\"KDE from samples\", zorder=10)\n", " ax.scatter(data, np.zeros_like(data), marker=\"x\", color=\"red\")\n", " plt.grid(True, zorder=-5)\n", " ax.set_xlim([-3, 3])\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A more difficult case\n", "\n", "The fit is not always perfect. See the example below for a harder case." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:55.355403Z", "iopub.status.busy": "2026-07-15T16:58:55.355118Z", "iopub.status.idle": "2026-07-15T16:58:55.362867Z", "shell.execute_reply": "2026-07-15T16:58:55.361022Z" } }, "outputs": [], "source": [ "obs_dist = mixture_rvs(\n", " [0.25, 0.75],\n", " size=250,\n", " dist=[stats.norm, stats.beta],\n", " kwargs=(dict(loc=-1, scale=0.5), dict(loc=1, scale=1, args=(1, 0.5))),\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:55.365822Z", "iopub.status.busy": "2026-07-15T16:58:55.365530Z", "iopub.status.idle": "2026-07-15T16:58:55.374853Z", "shell.execute_reply": "2026-07-15T16:58:55.373324Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n", "kde.fit()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:55.377422Z", "iopub.status.busy": "2026-07-15T16:58:55.377174Z", "iopub.status.idle": "2026-07-15T16:58:55.779310Z", "shell.execute_reply": "2026-07-15T16:58:55.777822Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "ax.hist(obs_dist, bins=20, density=True, edgecolor=\"k\", zorder=4, alpha=0.5)\n", "ax.plot(kde.support, kde.density, lw=3, zorder=7)\n", "# Plot the samples\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)) / 50,\n", " marker=\"x\",\n", " color=\"red\",\n", " zorder=20,\n", " label=\"Data samples\",\n", " alpha=0.5,\n", ")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The KDE is a distribution\n", "\n", "Since the KDE is a distribution, we can access attributes and methods such as:\n", "\n", "- `entropy`\n", "- `evaluate`\n", "- `cdf`\n", "- `icdf`\n", "- `sf`\n", "- `cumhazard`" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:55.782247Z", "iopub.status.busy": "2026-07-15T16:58:55.781974Z", "iopub.status.idle": "2026-07-15T16:58:55.792558Z", "shell.execute_reply": "2026-07-15T16:58:55.791066Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "obs_dist = mixture_rvs(\n", " [0.25, 0.75],\n", " size=1000,\n", " dist=[stats.norm, stats.norm],\n", " kwargs=(dict(loc=-1, scale=0.5), dict(loc=1, scale=0.5)),\n", ")\n", "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n", "kde.fit(gridsize=2**10)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:55.795101Z", "iopub.status.busy": "2026-07-15T16:58:55.794850Z", "iopub.status.idle": "2026-07-15T16:58:55.829581Z", "shell.execute_reply": "2026-07-15T16:58:55.828096Z" } }, "outputs": [ { "data": { "text/plain": [ "1.314324140492138" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde.entropy" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:55.832260Z", "iopub.status.busy": "2026-07-15T16:58:55.832011Z", "iopub.status.idle": "2026-07-15T16:58:55.839873Z", "shell.execute_reply": "2026-07-15T16:58:55.838393Z" } }, "outputs": [ { "data": { "text/plain": [ "array([0.18085886])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde.evaluate(-1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cumulative distribution, it's inverse, and the survival function" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:55.842499Z", "iopub.status.busy": "2026-07-15T16:58:55.842251Z", "iopub.status.idle": "2026-07-15T16:58:57.059912Z", "shell.execute_reply": "2026-07-15T16:58:57.059004Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "ax.plot(kde.support, kde.cdf, lw=3, label=\"CDF\")\n", "ax.plot(np.linspace(0, 1, num=kde.icdf.size), kde.icdf, lw=3, label=\"Inverse CDF\")\n", "ax.plot(kde.support, kde.sf, lw=3, label=\"Survival function\")\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Cumulative Hazard Function" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2026-07-15T16:58:57.062397Z", "iopub.status.busy": "2026-07-15T16:58:57.062109Z", "iopub.status.idle": "2026-07-15T16:58:57.286116Z", "shell.execute_reply": "2026-07-15T16:58:57.283844Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "ax.plot(kde.support, kde.cumhazard, lw=3, label=\"Cumulative Hazard Function\")\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }