{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Sampling from a GP\n",
"\n",
"## Preliminary steps"
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"### Loading necessary packages"
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"using Plots\n",
"using AugmentedGaussianProcesses\n",
"using Distributions\n",
"using LinearAlgebra"
],
"metadata": {},
"execution_count": 1
},
{
"cell_type": "markdown",
"source": [
"### Loading the banana dataset from OpenML"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "50-element Vector{Float64}:\n -1.0\n -1.0\n -1.0\n 1.0\n -1.0\n -1.0\n 1.0\n -1.0\n -1.0\n 1.0\n ⋮\n -1.0\n -1.0\n -1.0\n 1.0\n -1.0\n 1.0\n 1.0\n 1.0\n 1.0"
},
"metadata": {},
"execution_count": 2
}
],
"cell_type": "code",
"source": [
"kernel = SqExponentialKernel()\n",
"x = range(0, 10, length=50)\n",
"K = kernelmatrix(kernel, x)\n",
"f = rand(MvNormal(K + 1e-8I)) # Sample a random GP\n",
"y = rand.(Bernoulli.(AGP.logistic.(f)))\n",
"y_sign = sign.(y .- 0.5)"
],
"metadata": {},
"execution_count": 2
},
{
"cell_type": "markdown",
"source": [
"### We create a function to visualize the data"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=1}",
"image/png": 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gGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGpeI7Ny5s729PX3d7/dfddVVImLb9saNG9va2hYuXDh16tSxnCMA4HS4ROSee+5pamqqqKgQkaqqqquuuiqZTC5dutS27blz5959993PPffcokWLxnqqAIC8uNL/fOMb37jllluySzdt2nTs2LHdu3d7vd7Zs2fff//9lB0AzheZ8+zvvvvuL37xi/fffz999Ve/+tUnP/lJr9crIjfddNPrr79+4sSJMZsjAOB0uESksLDwzTff/L//+7/f/va3n/nMZ/793/+9vr7+iiuuSN+ivLzc7XbX19ePGzduwMrxePzJJ5/csmVLdsnNN988+KS8bdsiorU+i1/HnwfbtlOp1FjPwgS2bTsc/PrAKLBtWymllBrriZz30p3MZ0+6XK5hb+YSkeeffz59u6NHj86dO3flypVa6+ya6YftpEHRWp84ccLn82WXRKPRwbdM9Rp2xhhaKpU61WOB05Leh+zJkeM5OVpG9znpkpyfEhdccEFdXd0777xTWVnZ1NSUXtjW1mZZVigUGryyz+f76le/WldXN+yM3W63y+UalRn/OdNaO51Ot9s91hMxgcPhYE+OCqWUx+MZ61mc99IdHq092e8FaXd397vvvltTU7No0aLNmzcnk0kReemll+bNm1daWjoq9wcAONtcjY2Nn/rUp6699lqPx/PCCy/MnDnz+uuvT6VS3/rWt26++eaPfOQjP/jBD9auXTvW8wQA5MtRVlZ2//33l5WVBQKB73znOy+//HL69f727duXL1/ucDheeumlm266aaznCQDIl8vlci1fvnz58uUDBoLB4Je+9KUxmRMAYCT4xS8AMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMA1lBwDTUHYAMI1LRLTWO3fu3L17d0lJycKFCwOBgIhs3bpVa52+UVVV1YwZM8ZymgCAvLlE5LOf/exbb71VV1d39OjRL3/5y9u3b58yZcrSpUuvueYat9stIitWrKDsAHC+cInIv/zLv0ydOjV9/eabb/7ud7/7yCOPiMjzzz9fWlo6lrMDAJw+l4hksy4iEydOtCwrffm1114LBALz5s2j7wBwHlHZk+kicuDAgcsvv/zXv/71/PnzJ02adNlll4XD4bfffnvt2rWf/vSnB688Z86cRYsWVVdXZ5esWLGipqZmwM2i0ajb7Xa5XGfnS/gzEovFnE5n+hQZRiIejzscDvbkyMXjcaWUx+MZ64mc99KH1PnsSZfLpZQa5jbZS83NzTfccMN99903f/58ETl69KjT6RSRDRs23HbbbStWrPD7/QNWTqVS9fX1tm1nl4TD4WQyOeBmyWTS4XAMOxUMK71vHQ5+o2mkksmk1po9OXLJZFIpNfi7HqcrvQ/z2ZNOp3PYnGaO2dva2hYtWnTDDTd885vfHHx/Pp9v586ds2fPHjBUV1e3Zs2aurq6oe+DY/bRwjH7aOGYfbRwzD5a8j9mz4crFovF4/Fly5YtWrRocNZFZNeuXalUqqqqalTuDwBwtrl+/OMfb9q0ae/evZdeeuntt98uIjNnzpw0adKGDRtmz57d3d39+OOP33vvvePHjx/rqQIA8uL62Mc+VlFRsWTJkuyiSZMmffSjH41EIocOHSotLf3v//7vK6+8cgynCAA4La7a2tra2trBA1/4whc+9MkAAEYBvxsAAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKah7ABgGsoOAKZxpf/ZtWvXe++9N3PmzLlz56aXpFKpbdu2tba2XnPNNaFQaOxmCAA4PQ4Refjhh5cvX/7yyy8vX7784YcfFhGt9YoVK+66666NGzfOmTPnd7/73VjPEwCQL1dnZ+eDDz74+uuvz549+913373yyiu/9KUv/eEPf9i9e/eePXv8fv/3v//9f/qnf9q2bdsZbD2lpTEqTWHlcUu5X8oL+g019OhOSxxKSr1SXqCyQ0ktjT3SaWmHkgk+VebL676SWhp6dNgSh5Iyn0zw9dtgfUR32crpkDKflHrz2mAiJQ090mWLU+nyAlWSs1Yis0FxKanwq/GevDZop6Q+orsT4naoigIZl99aQ7BSUh/RkYS4lUz0S7FHDb+OSDwp9RHdkxSPQyr9qtDdf6hH9yRONSQ9Ce1xSCiggq6+oVhS6iM6mhSvUyoLVNB9siGHhAIqkLNWNCENPRJN6pMMJaU+omNJ8TlVyC/+nKEzE7F1Y1TFkrrApUIFUpCzwUhCGiI6npICpwr5dYErr33YbUtjVOJJXeCUSQHlc450hueIE5Yc79EJLYVuFfKLO+dkbUdcmqLpIQn5lTu/87jtcWmO6qRWhW4J+cWV31ptcWmJSTIlRR4J+cWZ85i0xqQlplM6PaRyh1piujUmKS3FHlXZf62WmLTGdEpLsUdCfuXI60GWpqhuj0tKyziPVOa91jnC9corr1RVVc2ePVtELrnkkurq6ldeeWXr1q3XX3+93+8XkVtuueXv//7vOzs7i4uLT3frR7t1W1ziSUkoORbRolR5b6aPdOv2eOZyT0KUkmzBj3TpDqtvC0rUhDzifrhbTvRu8Ei3KNGlvXE/1CWdlohoSUrEFiVS4h3+UTrYpbts6d2CdigZ15vOA2HdbYuIxEUOhvX0IlWcR6YPdEkkvVZSd9tyYXG/dJ4uLbI/LNFEZhoHuuSiYgkMF8GUln1hHU+mpyHdnXrmeFXgPMXQOJWOYFLL3k5tpTJD+zr1zHGZnCW17AuLlV3L1jPHic+psmvZqb4NzhqnvE4RkURK9oX7hiKdetZ45XGIiCS07D2hE7pvR2WHzoyVkn1hSWqd2aAlF5dkHsd4Uu/rlGTvfUUSMmvc8PWJJWVfWKcya0lPQs8a3y8x56mwpQ+EM5fjSR1NyIxxma8qbMvBLt07JNGEzg4N4YQlhzJr6VhSYkm5sHj4tdrjcrj3vmJRiSdlelFmrba4HOnuG7KSelrvUGtMjnZL75C2UjK1MDPUEtM5Q2KnZErhsLOQpqj+IJK5fDwqCS2Tg8Ovde5wffDBB1VVVdnrVVVV9fX1H3zwwfz589NLJk6c6HQ6GxoaBpfdsqyf/exnb7zxRnbJsmXLJk+enL6stbTFJKUlmUwqpZRSLT1S6hYR0SJtUdE5m2rpkRK3iEhKS3ts4ND44QqY1NIe7bekpUePc2f60hEbOFQ83KGZnZLOeL8lLT260KlExEpJeNBQcLjv7FhSugat5Q+eXg+SyaSIOBwOEYkkJGL1G23tEV9gmC102RK1+y1p7ZGQX0QkbA0aiuqQX4lIpyWxRN/ylEhrj670KxE5YemYrXKH2nr0RL8SkY64jif6D0V1RcEphnp0+nVbe0xbyX5D7VFd5jvzcLbHxE72XbVEOqISkKTWusNy5A7FU3IiJuOHe0nXFpVEzlqxlHTGJJ8f7ee4lh6dSvXt5y5LIpZO/5Bu6ZFUSnKHeixJ/5BOf3enn5mDNthvrc64xGwZ9mB/wDQ6YmL1HoAPGGqPSfUQQwXiONlQW1Sqeofyn0ZrVCb5RJ3Nn9/pfXjSPTmAw+FQw03FlUwm06XIXHe5bNtOJpNOZ+YVplLK4XDYtj145WQyuXfv3o6OjuyS+fPnZ99u1SK2rbRIIpGpgqV1ejMpLYmk0jn9zg4ltdiJfpPODg0hoSXRfy1bxLa1iNipQUMqMzSEeHLgWpbKTGOIoaE2mBi0lmP4tQawbTvV+70St3Ui0e+7xLLzmIZ1yrUse9COSvTuw4RKJGTMh87M4K/LsrVHbIfDYQ1+UGxtD5eek21QbHXmMzxHDN7zlq2dqfSFgV9y3Eo5XEpEbNtOH7cN3uBJ15LhjoFOtpZO/zw4yZ63tCs7lBz4UKbvavCQbethy27ZksgpuxKxE/qsvjBLN3bYZIuIx+MZvuyVlZUtLS3Z601NTaFQqLKysrm5Ob2ko6PDsqyT/npMQUHBfffdV1dXd6qtlwZ02Battcvlcjqd5X7l6z2vUmL1nesQkX5Dcd2dOPnQEMZbEsn5/i/zi8+nRMQnMs6SnkTOUCAzNASfSJGlYzk/PsuDmWn4RAqtzFmLAUND8IoErcwJjcxahcqX3xn/XE6n0+12i4jHK4125oRG3waHO3J0e+V4QicGrOUWEXF5pNHWyZxAlQUzQ06PNFonHyr1yPEBQ4XK5xIRKXXr47akeoeUkrJgZmiCR5psnTs0ISg+lxKRCW5pTuQMiUwIZNY6M2UuaU3q7GGEQ8mEoEhCORyOMuVuS/UfKhz+zE+5S9pzvmCnktJgvuedz2VloiPdfVc9DhkXyPSjXElPV9+X7HXKuECmLemsezwneeaVi8S6+9byOaU4MHy2yrVYkb61/C4p9KvsUH3OUMAlwexQShp6+oaCbgkUZId0Y0/f9gvd4i/IYxqFuinnNECxRwpG8MIxH+kj7JPuyTPZ2tVXX71nz57jx4+LSFNT0+7du6+++uqPfexjW7ZsST/lX3755YsvvnjChAlnsPWaQlXkFqVEiUzwqcqcd1BrgpIzJJX+vqEpRaqwd6jMpyb6B2/4JKYEpdCtRMShpLxAKnIevKmFkn5bz6GkokCV5/cITR9OYvAAAAqRSURBVCvKvK3nUDKxQHLfyJ1WKNmhSn9ebwMokWlFmTcDnUpC/n5vyZ4Bh5JpRZnz4E4lVYG8Tgg4lUwrypwidznkgmDfuX6XY8CQZIfcDplWlDlF7lIyOdj3NqnbIVNzhmoK+94L9ThVdi23QyYH+t4L9Thkam9D3Q6pCSp/7/kxr1OmFEp2aErv13jGClxSE8ycBPA4ZEpQvL2HjX6X1PRG2etUU/PIuogEXDI5KOn5ep0ytdCErItIqU9l35P0u2R6cd9hYalXKv2ZMxgBl0wrzOfIUsp8MrH3jcegW2XPiQ+t3Cflvsx9BV19p8tFpMIn5QWZDRa6+50un+iXst61Ct0yJWetSr8q8yklopQUeVRNYV7TCPlVqVfSaxV71OTTPHE65pTW+otf/OKuXbs+97nPPfPMM3PmzFm3bl08Hp83b95ll112+eWXf/vb3/7ud7/7l3/5l4NXrqurW7NmzRDH7Gk90ajb5Xa7T/INmtKZfXdaQ0M4Gxs81Qu3IYbObIPDisVi2WP2szeNc3/ozORuMB6POxyO7J788B/Kc9lpPSjxePxUx+z5bPBUtBYtJ19r1IeGnoYo+XAeZMuyZBSP2UXk0Ucf/du//dtjx4595StfefTRR0XE6/W+/vrrl112WXNz87PPPnvSrOdviJ461JkMDeFsbPAMhs5sg2dm1Kdx7g+dmXP/oTxHnAs7SqlTrjXqQ0NP4zx9kF0i4nQ6P/e5zw0YGD9+/D/+4z+OxZQAACNixAlCAECOD6Ps77777pEjRz6EOzLe7t27Dx8+PNazMMF777138ODBsZ6FCd5///39+/eP9SxMsG/fvr17947W1j6Msq9du3bTpk0fwh0Z74knnvjlL3851rMwwTPPPPPCCy+M9SxM8NOf/nTDhg1jPQsTPPfccz/96U9Ha2ucjQEA01B2ADANZQcA04zov/clk8k9e/YMe7PW1tYjR47s2LFjJPcFEWlubna73ezJkTt+/HgsFmNPjlxjY6PH42FPjlxDQ0MymcxnT86aNSsQGObD/5TWZ/5JRo8++ujatWuznx12KtFo1Ol0jtb/rfpzFo1GHQ6H1zuyzyWASCwWU0qxJ0eOPTla4vG41tqXx4dkPfXUU7NmzRr6NiMqOwDgHMR5dgAwDWUHANNQdgAwzVkpeyQSOXbsWCr3L2X1sm378OHDJ/0LTRgsHA43NDSM9SwMF4vFjhw5ks9fKQPOhmg0evTo0ZMGM5FIHD58OP0Bv6dl9Mv+ve99r6qq6uMf//jMmTMHfAzCli1bqqurr7vuukmTJm3cuHHU79ok+/btu/TSSydNmjR//vyqqqrcj2cIh8Mqx9e//vUxnOe5r7W1NXd3/fM//3Pu6FNPPRUKhZYuXTpt2rQ//vGPYzTH88PmzZtVf7///e+zoz6fL7v8i1/84hjO85z17LPPXnHFFQUFBTfddFN24X/+539OmjRp8eLF06dP37VrV+7tX3vttZqamk984hOhUOi0P8JBj6qDBw8Gg8H3339fa/2Nb3xj2bJl2aFEIlFdXf3ss89qrf/nf/6nvLw8/Vs+OKmDBw9u2rQplUpprX/0ox+NGzfOtu30UGdnp4gkEokxneB5o6WlxeFwnHSotbU1EAjs2LFDa/29733v8ssv/3Cndh7bsGFDdXV17pPQ6/U2NDSM4ZTOfdu3b3/ppZfuueeeT33qU+klx48fDwQCb731ltb629/+9tVXX529cSqVmjlz5rp167TWr776anFxcVdXV/73Ncplf+ihh2688cb05cbGRqfT2dramr76yiuvTJw4MZlMpq9OmTJl48aNo3vvpkqfkGlubk5fTZe9p6cn23oMIV32eDw+eHetW7fuqquuSl+ORCI+ny99UIJhXXfddQ888EDuEq/Xe/ToUQ7XhrV69eps2X/4wx8uXLgwfbmzs9Ptdh86dCh99c033ywqKsruz7lz5/7kJz/J/15G+WzMoUOHLrzwwvTliRMn+v3+o0ePpq8ePnx42rRp6b/iKiK1tbV8IG2efvzjH3/kIx8pKyvLXRgKhQoLCz/+8Y/v27dvrCZ2vkilUhUVFYWFhUuWLMn98N5Dhw7V1tamL/v9/lAoxHMyH/X19Vu2bBn853pmz55dXFx85ZVXDjirgFPJfQYWFRWVl5dnn4GHDx+ePHly9j94nm4wR7ns3d3duf+HKhAIhMPh9OWurq6Cgr4/ce33+7NDGMK2bdtWr1792GOPZZcUFBT86U9/6ujoaGtrmzp16qpVq8Zweue+wsLCvXv3dnR0tLa2hkKhW2+9NTs04OnKczJPTzzxxMKFC6dOnZq78M033zxx4kRnZ+c111xz4403nsGbfn+GhngGjjCYo1z28vLyEydOpC9rrTs6OioqKtJXKyoqOjo6srfMHcKpvPbaa5/+9Kd/9rOfzZ07N7vQ7XZfdNFFIuL3+1evXr1r167jx4+P3RzPdV6vN31YFAgEVq9evWPHjvb29vRQ7tNVeE7mR2v95JNP3nbbbQOWX3LJJSLi8XgeeuihxsbGP/3pT2Mxu/PMEM/AAcFsb28/rSfnKJd97ty5//u//5u+/PbbbxcUFNTU1KSvzpkzZ/fu3d3d3SJiWdZbb701b9680b13w+zcuXPlypVPPvnkggULTnWbtrY2pdSwHw+EtLa2NqfTmT0Umjt37htvvJG+fOzYsdbW1pkzZ47d7M4P27Zta2tru/HGG091g3A4nEgkgsHghzmr81RuMA8cOBCJRNIHbSJyySWXHDlypKWlRURSqdSOHTtOK5ij/LkxkUhk2rRp//AP/7Bw4cKvfe1rdXV1Dz/88BNPPPHKK68888wzS5YsCYVCd955549+9KPdu3f/7ne/G8W7Nsz+/fvr6upuvvnm6667Lr1kyZIl69ata2xs/MQnPnH06NGLL764vb39gQceqK2tXb9+/djO9lz2q1/9qrGxcdasWS0tLffff/+cOXOefvrpBx980LbtBx98cMaMGX/xF3+xatWqBx54oKSk5Kmnnhrr+Z7rPvvZz5aUlDzyyCPpq4899tirr756++2379y589JLL41EIg899JDL5dqyZYtSamyneq45fPjwjh07fvGLX+zdu/euu+6aNm3a7Nmza2trP//5z99www1f//rXL7jggrVr127YsOEnP/nJz3/+85UrVyql7rvvvv/6r//aunXr22+/nf8uHeVj9kAgsHXr1j/+8Y9f/epXFyxY8K1vfUtEKioqZsyYISLr16/3+/133HGH1pq/VTa0WCx2yy23pL9D0rq7u6uqqqZOnVpaWvqb3/zm7rvv/o//+I/PfOYzTzzxxFhP9pxWWlq6devWr33ta2vXrv3CF76wbt06EZk8eXJNTY3T6dy8efMHH3xwxx13zJgxY82aNWM92XOd1nrChAl/8zd/k10yceLEiy66qKSkZMeOHffee++//du/LV68+MUXXyTrgzU2Nm7ZsiUQCFx66aVbtmx577333G73yy+/vH///r/7u7+bN2/e97//fREpKyu7+OKLReTxxx+fNGnSHXfc0dHRsXHjxtPapXzWIwCYhs+NAQDTUHYAMA1lBwDTUHYAMA1lBwDT/D8wAZBFfrCl3gAAAABJRU5ErkJggg==",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 3
}
],
"cell_type": "code",
"source": [
"function plot_data(x, y; size=(300,500))\n",
" Plots.scatter(x,\n",
" y,\n",
" alpha=0.2,\n",
" markerstrokewidth=0.0,\n",
" lab=\"\",\n",
" size=size\n",
" )\n",
"end\n",
"plot_data(x, y; size = (500, 500))"
],
"metadata": {},
"execution_count": 3
},
{
"cell_type": "markdown",
"source": [
"### Run the variational gaussian process approximation"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"┌ Info: Running full model\n",
"└ @ Main.##475 string:1\n",
" 0.629360 seconds (1.14 M allocations: 66.277 MiB, 99.43% compilation time)\n"
]
}
],
"cell_type": "code",
"source": [
"@info \"Running full model\"\n",
"mfull = VGP(x, y_sign,\n",
" kernel,\n",
" LogisticLikelihood(),\n",
" AnalyticVI(),\n",
" optimiser = false\n",
" )\n",
"@time train!(mfull, 5)"
],
"metadata": {},
"execution_count": 4
},
{
"cell_type": "markdown",
"source": [
"### We can also create a sampling based model"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"┌ Info: Sampling from model\n",
"└ @ Main.##475 string:1\n",
"Sampling with Gibbs Sampler 0%| | ETA: N/A\n",
"Sampling with Gibbs Sampler 0%|▏ | ETA: 0:05:51\n",
"Sampling with Gibbs Sampler 1%|▎ | ETA: 0:02:58\n",
"Sampling with Gibbs Sampler 1%|▍ | ETA: 0:01:58\n",
"Sampling with Gibbs Sampler 2%|▍ | ETA: 0:01:28\n",
"Sampling with Gibbs Sampler 2%|▌ | ETA: 0:01:10\n",
"Sampling with Gibbs Sampler 3%|▋ | ETA: 0:00:58\n",
"Sampling with Gibbs Sampler 3%|▊ | ETA: 0:00:50\n",
"Sampling with Gibbs Sampler 4%|▉ | ETA: 0:00:44\n",
"Sampling with Gibbs Sampler 4%|█ | ETA: 0:00:39\n",
"Sampling with Gibbs Sampler 5%|█ | ETA: 0:00:35\n",
"Sampling with Gibbs Sampler 5%|█▏ | ETA: 0:00:31\n",
"Sampling with Gibbs Sampler 5%|█▎ | ETA: 0:00:29\n",
"Sampling with Gibbs Sampler 6%|█▍ | ETA: 0:00:26\n",
"Sampling with Gibbs Sampler 6%|█▌ | ETA: 0:00:24\n",
"Sampling with Gibbs Sampler 7%|█▋ | ETA: 0:00:23\n",
"Sampling with Gibbs Sampler 7%|█▋ | ETA: 0:00:21\n",
"Sampling with Gibbs Sampler 8%|█▊ | ETA: 0:00:20\n",
"Sampling with Gibbs Sampler 8%|█▉ | ETA: 0:00:19\n",
"Sampling with Gibbs Sampler 9%|██ | ETA: 0:00:18\n",
"Sampling with Gibbs Sampler 9%|██▏ | ETA: 0:00:17\n",
"Sampling with Gibbs Sampler 10%|██▎ | ETA: 0:00:16\n",
"Sampling with Gibbs Sampler 10%|██▍ | ETA: 0:00:15\n",
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" 4.981034 seconds (7.53 M allocations: 678.920 MiB, 93.58% compilation time)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": "1000-element Vector{Vector{Vector{Float64}}}:\n [[-1.3974060027106259, -1.1545682051240607, -1.026372376606182, -0.9297847152620585, -0.8768570379823606, -0.8406192749404671, -0.7477532163816016, -0.5653402768872713, -0.3339809611320675, -0.052267635769494614 … -0.1980007242747822, -0.5106512803240326, -0.7001794305583093, -0.7469161860176671, -0.6749136233768407, -0.5289924345288565, -0.2941949780336669, -0.07018962695845166, 0.16916719943055952, 0.4195605678901758]]\n [[-0.8606302413167455, -0.9835817515773289, -1.0449378409728163, -1.004855894921047, -0.9193273681042207, -0.7778219969137499, -0.6827832859405636, -0.6071325569330307, -0.5637381422509589, -0.49849731664191554 … -0.9828431591672944, -1.0207518050094058, -0.9244537016087452, -0.6347075819928173, -0.24948102204000616, 0.24246366593070173, 0.7376599857716111, 1.1719122245642195, 1.4756352549891545, 1.6244395338527384]]\n [[-0.5835436891017246, -0.7757757531096837, -0.917465575994605, -0.9551048065132725, -0.8860614002233475, -0.7036292406293594, -0.444500454460268, -0.18630377447231783, 0.06770759123415426, 0.2387402616628567 … 0.18491327247703093, 0.26727026266959397, 0.41445301091298126, 0.6210228619294975, 0.9081993537267626, 1.1790467930075113, 1.4727597523334164, 1.7564316872941375, 2.015550929260921, 2.2237109986177748]]\n [[-0.23813197273796677, -0.5811634041675795, -0.908602099388645, -1.2001071535230303, -1.4414150522295712, -1.5990339131021447, -1.6190641128314545, -1.5669590764465915, -1.3476567768486176, -1.0791091301758946 … -0.10810226340172358, -0.03812816834311672, 0.12457536413840237, 0.3705373221792484, 0.6416468924280544, 0.9112124929939935, 1.0865819957565828, 1.1492855322198163, 1.0659187745596521, 0.907859059698357]]\n [[-1.5572219182369047, -1.3016690194363856, -1.0334059728873313, -0.7528803230697478, -0.43959653411274546, -0.16973025346710652, 0.0135029355768021, 0.11927731934084523, 0.15184404328902507, 0.09331767164418797 … 0.13962451724723546, 0.26747805049753304, 0.4836837085862347, 0.6802631788010732, 0.8637860637210903, 0.9982323833049845, 0.9693700390981839, 0.8416754830323214, 0.5878339608343165, 0.2681930098406683]]\n [[-2.0987443602296008, -2.3631805524509266, -2.4532447118225713, -2.3658979832093747, -2.169523776600442, -1.8494207954420614, -1.4891433235335438, -1.1892017882090031, -0.9151143127118655, -0.7592154387902779 … -0.5076162789723092, -0.3781508630826569, -0.2202862310801943, 0.050463600062507774, 0.3565363167787215, 0.714183466418568, 1.0422946323432818, 1.364132772832706, 1.6673416178963896, 1.8837235003523531]]\n [[-0.7208183393272587, -0.6245771747827915, -0.4170105762550006, -0.19486892616892004, -0.022115762031485575, 0.1144969092005601, 0.14449295713327837, 0.03883348881872428, -0.16439164687480737, -0.41240430104210646 … -1.4176088768400794, -1.3186182563847, -1.0710698219679515, -0.7307099383554856, -0.32942796954415554, 0.04499257868528894, 0.431362621874613, 0.7374061829679035, 1.0139506933124094, 1.2064557353512377]]\n [[-0.9850568116533438, -0.9278801042770449, -0.8630926322510682, -0.7622319125656336, -0.6982921199228234, -0.6298601749668655, -0.5546785610056562, -0.4521065937265814, -0.30660610356839174, -0.1377954114861809 … -0.373782547075015, -0.4666466670787504, -0.4976976395551641, -0.3704237645538877, -0.16367749309787433, 0.1598915412015104, 0.5052247081208782, 0.8122583293335264, 1.1001128212122553, 1.2695054126157088]]\n [[0.2948281837472697, 0.19277488089939654, 0.013446506485840115, -0.19413509600893208, -0.35633762137616065, -0.5262237582169933, -0.6109882702551888, -0.6302075214203595, -0.5833131183991184, -0.5338735066249684 … -0.26780401314207875, -0.3014935891403975, -0.22207093086324228, -0.1245407995376793, 0.04502610279004919, 0.2471653625878486, 0.4308411993838532, 0.6136764336038261, 0.739486741387037, 0.8337629339341458]]\n [[-2.2363683363052917, -1.9421137339300787, -1.5415644515938003, -1.1009502600172418, -0.7260748161111668, -0.38875383047530176, -0.19882484959199748, -0.1149737418188354, -0.13063051610413287, -0.20613187849716305 … -0.8082852283696365, -0.6660354567414821, -0.340554908666902, 0.07086460574296033, 0.4800840529021929, 0.772659567376956, 0.9268860394118894, 0.9077472217878964, 0.7061180436294655, 0.4503245537831941]]\n ⋮\n [[-1.4829091558320933, -1.3112152528289087, -1.1193566897465372, -0.9005269127608957, -0.7327351912107918, -0.5973076727820568, -0.4992830475379687, -0.4009468504449653, -0.3818034675471773, -0.45509482621690567 … -1.2553560295158288, -1.1130047559102472, -0.8431671071328849, -0.4971513200949397, -0.12487114760839796, 0.21357458807216836, 0.49345946475009544, 0.7014041783571286, 0.8343335765218711, 0.9121916568645402]]\n [[-0.9604145868791953, -0.8613818996012412, -0.7216714513526606, -0.5848606194676389, -0.43189677444952174, -0.2846196005517523, -0.15675969974574355, -0.02915627238528945, 0.06262724594173502, 0.1470605330176121 … -0.19425626417337288, -0.1065707465467533, -0.046073047037671566, 0.011051441386397132, 0.044130179471491796, 0.06413935084542796, 0.021094439644950502, -0.021713124240913872, -0.0954435286795614, -0.17192318535104567]]\n [[-1.054659237442113, -1.178738599253908, -1.3152200137171866, -1.3963316623528939, -1.4465565848798694, -1.4826847313527916, -1.4527443682159675, -1.3912553478026455, -1.2588130158409017, -1.0863691864446832 … 0.011480679796108173, 0.2104232907931054, 0.4628069645917719, 0.7462113309312285, 1.0580549417148195, 1.27543935463366, 1.4477122330910945, 1.5088445526436942, 1.5362569231944083, 1.4988947882890984]]\n [[-1.8792470346095236, -2.041089334789669, -2.1260219316012643, -2.1106248552867006, -2.04628800785839, -1.8939948719047637, -1.6758747034537298, -1.4214301087092487, -1.1973738810892234, -0.9574439151379847 … -1.4002653283839286, -1.354663132603346, -1.0816856331047653, -0.6563988119398467, -0.10201159027978751, 0.41318044668574727, 0.8151144734979645, 1.0859069326731143, 1.1898251422877681, 1.1726848047573197]]\n [[-1.495168922702172, -1.9651419826348804, -2.241762250966526, -2.347039957013615, -2.316662479219986, -2.161676376072479, -1.8981685526832122, -1.6059076791581626, -1.2650552344623145, -0.939206586989307 … 0.01596702055991428, -0.13860820804681534, -0.23275274981527583, -0.3005990074428073, -0.34182024812515915, -0.39342303747164836, -0.41782242202761205, -0.491237929302476, -0.5800709339972219, -0.651273263098133]]\n [[-1.360769607265081, -1.176918957704846, -1.0071342759086102, -0.8746464221361275, -0.7072877893645013, -0.5690793017484843, -0.42540545510897215, -0.24158695428541654, -0.06505788263184456, 0.08367225209659918 … -0.47815601566793964, -0.5699596772119837, -0.5688713849378265, -0.4547712133821217, -0.30605305286032647, -0.15999897021287518, -0.012632647794263041, 0.11840085602070138, 0.2483743596613608, 0.3716009383117569]]\n [[-0.8665369742955557, -0.714494594519029, -0.5354450623359562, -0.4350543830433246, -0.36171514944064287, -0.40055679728461907, -0.5014462057604473, -0.6477376477560925, -0.8667953333470377, -1.054172403238386 … -0.09506220659072895, -0.11362713323902096, -0.07543145686007957, 0.03912934603402743, 0.20193872211671454, 0.2981382354145168, 0.39660285555532404, 0.4997659492340786, 0.5451136435539995, 0.5777280161222893]]\n [[-1.579651424816316, -1.572740533745074, -1.4764132252178945, -1.3071867935302377, -1.0829208751892734, -0.8208661374615562, -0.5698131936164995, -0.2916259348825745, 0.020166655047605675, 0.31020317888914456 … -1.1289023338271482, -1.2921666683504651, -1.3110632506055473, -1.1746837210750378, -0.897347882897968, -0.5529804543436958, -0.12095314212820402, 0.3605200058897276, 0.8098976806371345, 1.271424459979142]]\n [[0.695691305663246, 0.5490661944476091, 0.3858819357697786, 0.20920129129215426, 0.08335503015894186, 0.018575997901305763, -0.055331941232550585, -0.09381447308488017, -0.0989875023213611, -0.10912959516052044 … 0.25809421066672567, 0.2511379605824675, 0.3131166615586706, 0.4015454242852682, 0.48579583661504644, 0.554885791566035, 0.6223349988022097, 0.6470394404535489, 0.677496575641491, 0.7004981380235733]]"
},
"metadata": {},
"execution_count": 5
}
],
"cell_type": "code",
"source": [
"@info \"Sampling from model\"\n",
"mmcmc = MCGP(x, y,\n",
" kernel,\n",
" LogisticLikelihood(),\n",
" GibbsSampling(),\n",
" optimiser = false\n",
" )\n",
"m = mmcmc\n",
"@time samples = sample(mmcmc, 1000)"
],
"metadata": {},
"execution_count": 5
},
{
"cell_type": "markdown",
"source": [
"### We can now visualize the results of both models"
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"### We first plot the latent function f (truth, the VI estimate, the samples)"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=1002}",
"image/png": 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KUtN68flmsxkzm4xTcY/+xpEVrcbl4JzO1munCqzMI2qn4BWhh8ctjJVa0K3bQ2O5PhOOlCgnqBMxU4wxqKv5fD6bzdA0CCA2xsPTzlFv/BflxKSe2WzW6/VKpRI60hgzmUx0AjiFaFBOZjKZ4NHm8/npdJrP51ViwW5xImezGaoXt5UTWPB9PW5X8JSPwin0q8fD41YF+bllHYDewnVzs4bGqbJ3qyCSJIHb4u65XC6jctiPigtJIqolDQ7ZbDZjA3buFt3TmCaKolKphIZGvxYKBdWEibmTJEm5XC4UChBQaUNjrP8H3RSiDe6jsanQ09l67RTiiMLgPrbu4XGrYr+B8gokLmhBY/kvaKwFL1DboFr0cxXOkz5UDR/OGd6ksbqKOGoUReVyuVKpFItFBk3QoZtdlctlVW5wCYVCAf06Go2Gw2EQBOrlLWooLqk4qNLc1F2gYo/oPnucHHjWqIeHx3fhsihdoG9WakGCmThVKlFYyLtkdqY8ocssyyi6py/MeDxGA0kdQuk0xkynU8bwFotFOakKw2ZZNpvNdErozlKphKpTgLRYLFKSUSgUVE04n8/1Qw6qkxTBB3WrgOotjSRJBoPBzT6LkwXauAdBgEV16Pv3itDD49aDFMzy54qXLquE2WwmjonYKOZKKxu9qLGF7uDA6XSq1qDkaVQdQRmDGpCqMJHD4VayJblJcT7RysypKJVKEET5l1+hsOXIqtcMZ0j1PWeunOXR3PJjwj333PO1r33tzjvvvNkncuJw77338vSPYue39qLx8DiFWCPxUT8rHSOygwwjlDRZmD6hsCpkUdQV5JdCoYBrSMdRXMNyuazd0j6NtF8cxyrAT+0cRBFHpb8nkwlcUwrwxXTluHh+uJ46tDQruhBNqUmH6gB+FLf9ePC0pz3t61//+s0+i0PGbDabTCaVSmWhVJSHy4PTKkqvbI3L4lFL9zAMWZCHi1t4xXh4nE5ovO3y52vCg7iDrp5ILVRfT1gVogpxUSJRZPWMMWEYDofDwWDADyeTCSk9EVg0cYINjDEkEYvFosZQcJRcLifFyW/VjyZzpjshAeXLhrYft+spcr18MpvNfOu1EwUGhlAS47aoVXybdQujKnPGoZgrCweVsT6Kk/SK0MPjVoLK2Bc+h41JDfvyr2B1ivBJzo8IpOooJpMJH0LONMZMp1Mk1HQ6pXfaZDLp9/tBEJTLZbiazWYT5Yo2FaWFDB81grh9qjUklMqJhWEIv1ShTvQlXil/pGna7/dHo5HCrdJ/6GBjqTS4jGpb6nESwHMsFotu+EFRDZWi0qXWbY/AV8YYLYmjIwZ7RejhccuAAOPK1CC+4MqoIH1eNB0JgYLOwKlS72zROxmo2+v1UDkEVAlw0S+beUzFYnE0Go1GI3ls6EuUlrEMGlKGHBplPJ/PYdYQ8yRqqrwjYc8kSXq9Htq92WwSpB2Px+g8zlnRV/V7I095FEPMPa4DrAfNj1yIyWMqhXZkNM8xtf35CH2XSiUWj7Hh/aM4T58j9PC4NbBfalBByJWlFDh5eF2umlwgl0IKRRuh3obDIdHLNE273S6Kp1gsVqvV2WxGtR8MGhUjYuDDdkmdwRf9fp89E2ItlUqj0Wg8HpOGhCxj7CAnzaygmjC1A36J1o7H48FgUCqVRHZVSxoEK9RT9LSvLLy5UAciwgN6HJgpMl8U50fhKWCgkhhYwWowdBSn6hWhh8etgZWpQQmL5a8kU+CtLJBi1Mxa5XrFYnE6ndLkZTweV6tVdMx4PJbACsOw3++naVqr1ZIkGY1GpVIJJ8wYQ3c01SamtlUb+1EqCI1FPo8WM+SQCIdyVlxXpVIZDodxHFer1SiKptNptVrFB0Wv68RQw5KYVOuvjCF7HA9w3WS6qdRHLh0R9el0qkbtPH0F3uHXYMyxTtRm79DP1itCD49bAPulBrG4lz1FpdOQLAs/JAiJnU6UkpI+pIwayiC8qG1nh+gYFA+lXSKF0nRbodThcAjLxtgiDRFB0c0KdZZKJfScMWYwGHQ6nTAMK5UKvmm9Xp/P5+PxuFKp8KtyuYxDyd+BhaJtoR3eiyt8G1QW3nJgtWgFan0qFsqyVIWo25lWs5qhz0BgJnaKWcbfhwtvLnl4nHQgU5YDfWpIvVARL5mS2klMUgZ8q4IEglGY5P1+fz6fj0Yj3LVqtSrai4igbI8rVigUms2m+rxIUyKt3FKNQqFAKNUYQxJoOByifaHJDIdDJRobjQYKVZ1raM82Ho/VVrRarRJf7ff7LlmGnXOlOLvq4uZxbHA5TSIbswJdfhahftYhwQNKUY2TBSDsrxajg8FgJV/6xuE9Qg+Pk479WqmJpekWZqncSt04XcK6qyPVwFO5HGMMfJZ8Pk9EFA2nykK8RrRUpVIxtvUohBcycxyr0WhAGSX8JWJqlmX4duhUPD/qMer1erVaTZKEyvpCoTAYDFDznAmUH7kXzWZzPB4TJhU731jXExXO2d7qVfa3EFQwSt6Xh8L9Z5HInyN4kNpZKJhWfEXhPPwsVi/h+kqlQoT80E/be4QeHicaCIWVVYMLdVdY1mqozYdyBwkVKh7ldtN2szi1Ws2tAqRwIrETetM0LRaLnU4nsC1GI2dyIUoLuKOaMjsKCj4O56wmatBn8vk8QVp+iGKr1WpcC5MrOBBOHvJROlW0GtcpVNGkJ5EeD2Scqb5FTwqfT2OfVXVqbMBDQWy5g6wZ7KfZbFav1wuFAhGLQz9zrwg9PE4ueOdXVg0ax7HL7DQG4oFIFrYM7YwI8oJUdOFHzmYz3C/qIsjM4UpmWVYul+VI8S0RziRJ6vU6H6ZpOh6PVRRPp1BjjGu2qwsax0LnTadTPIbJZNLpdIwx+Jdc13g8hoyKT6nO3TAmuBYSnyhXxKu6b7uXLzfR68JjgIwz0TvF5sXekj0na0bmlOIWPFwRnhei96PR6Chi3V4RenicXKT7TCJVX+zQDrZ1RYlyh8YYoppQDzC6EUxY1kSfOp0OSk6kGMqf2UAuKfoS4530nmh+xgZgAzspt1arZVk2HA7Rl8YYkVc1ehDVtb29TSRNDqLasxGYxQ11nQz2qVYApDCNMbPZbCFT6BZRHIUn4SEkdkKyou6B7ZaX2FaxbAm7SrEKBSSMMVSyZlk2Go2wXcSBGg6HREePItDtFaGHxwmFKyxcqCcnkj27ssW2qwNCOx0eFUh183w+7/V6xtJJRqNRtVpF5VBNL8cOJZTL5ZrNps6HwBex0zAM4cWo4EHuKX3aUGDkF+F8Sj1TaFEqlQiNUpJIdxt+Is06mUzgy7i930ajkXHGC9OaBOWq+mug3KdXhEeH1LZ6QB2yPHiCiTMamjiE6gjlFPITKkpFsKJBhFjKQRCQRfYeoYfHKUJyZUdsIAapWAYLlFE5i8ZmYkSKUSUWdfE4Z1EUQelETdIB2TipGurzNFBQ3HcUD84lAdJut4sCE3dGG6d2oNJkMimXywRyxaGnYowx94pwksskcgtdsFAoUNpBrT0cHHxi7gNqcjKZLFSbiVN6RH1JTjm06lQyQVs10nvGGAW6NZaEtWSc8htIwqwZCkyJkRo7cQyD6YjGMHlF6OFxEiG3b+XnxjGo3W0kjwghUuqHeMLchh1DedZgMNCsXVJ6kFPYhm5qOJTMlMdpQ18aY3AuM9sXdDAYVCoVOXOoJWNMuVzW4WgQw056vZ5ansZxzLecLZFPNjPGVCoVBCXpRqr+K5VKr9dzC9FwRvP5PKRTl1uohKJcUo9DhFo94M3zQFlXNL+Fh6y1Sl1NsVjE22NpQeAiNpDL5SiMEekU6206ndLk/dAvYd9g68WLFx9++OFGo3Hvvff67gweHscJRPZy4bA4MopDhle26jd2WCCOGlpBbAXooDQ2w1SnyIFII4WDCC80KHvAxyKwyf5RZigqhsuT9qPRDCdDU9DxeBzbcYb1eh2/bTAY8CHEUa4isG1HJpPJ5uamG94URyZzuoHDuxmNRiSN0I6SmziUOBZKYeJY7Jd29bg+KDWIFsSDj2wz29COT2LLxJn5LBoX+1FaEVPMGFMsFnmCajDLMjsKU2a1Ivy1X/u1j3zkI/fcc8/jjz9eLpc/9alP+UGRHh7Hhv0KB90OHdlSiT1eEYQRJEitVjM21SeOJRmX4XBImzRjzHQ6bTQauGIEQunqgvKjUygxSVgtDKBQyXO3253P57VajXBWmqa9Xg9vEr+QknkKE9FYWZbht+HkiWdYq9XiOO50OvV6XRqdXCaOwng8hoZDSxqUsbJTHAuNiFJHTHOjFCLOjqxl5WmDSlbUUcgYM5vN1EvBzWenzlguqUZoXGxMLBRvkkcZhiE00Wq1OhwOocyQsT5crHb1Xve6150/f/4f//EfH3rooTvvvPO9733voR/Yw8NjJTB4V5ZMKLik5pz6CSQRY9l3SZJQkKCyAZI3qK5+v0+0CklULBaRWXQNHQwG8EJl5qPqcNem02mSJAQe5ckVCoXxeAzVZTqd5vP5SqVSLper1SoKUkq3Xq9vbGxsb28TLyWYiRBEq1FiT6U8jqMSTjBLJ5NJsVjkD9WopXZwXWgbzvGHwsKZU3DpM4WHArcWEPuMBLOeqZvDVtaWNRM4XUMxXDB6CCGMx+N+v+8yovf29nq9Hh8eX2j0+c9/Pn+EYXjPPffs7u4e+oE9PDxWAs+Gv8WxdF1AcQeMdRPZrFQqibGpUnSkhtphk3tLkqTZbE6nU1QIXmBmG2c3m022HA6HpBWbzSb74aDUKqA+W60WLAa5ZYi/wWAgVY1KHg6Hqr6XGh4Oh9QsVioVqunz+Tzn1mw2+/0+u8XPC2xfLnyO1Db1VpUFxWqIV/XuUmNxecPmyrl3HtcHMsfcXqWuibErjS3PL7Ota0HitORGZWJIGVtl0Wg0WPPVatUYw1qt1Wo0YT/0a7lKQcbly5c/+tGP/tEf/dF+G8zn88985jOtVsv98OlPf/oP/dAPrdyeF8/HJU4OFLLwuOkQZxJDW1rQ2BqJ1HZ7IduX2cHuqe21NpvNxFVRzBCBJfuaoCLWN7vFvSPzh74kJDUYDIwxs9msWq26hRAIMrzD2WzWaDSgMzC5aXNzczqd7u7uonWKxSJZSbWVob4Qp3MymfR6PZcuL/ZNv9+vVquDwYBB9hqjQfKPegkRC1GWw+GQYn+1bGYDVZKo001qO1heFf4FWQYrDRaMfG4C1y6lGbNGDRDiOCaD6FZNkBEcDoe9Xg8Ccz6fd/u8x3HcbreTJNnc3BwMBoT0r+mJHMTiCdYkHkej0Ste8Yp77rnnD//wD/fb5kd+5EeKxeLW1pb74U/91E+9/vWvX7n9cDisVCpeEZ4cDAYDMkkeNwXy55ALaAi4doHThgNVh7jHo3K1oLFRKaQMpfHIepiZ6BiVajUajclkQghUxASEF9HRJEna7TZKlAgn+hInD/OfcUi1Wg2bHR2McBwMBoEzsKJWq6EIKZMgi0kScTQacZR6vU4kFg03Ho+73S5EGGK26G+0aWpnt/Lb0PYEH4/HlIKktt3oYDBgAgb/VZWbmIpXfUD+BXGhCISIS8bJFHK3iWeo2MYdTknDWDYIbTtcYhgqoeHbLMsoj6FgtNFoxHF86dKlQqHQaDSuKU1Iv6T12+yrCCeTyU//9E/feeedf/Inf7JmL/fdd9973vOe++6774DnNBgM0PYH3N7jqNHv9zGiPY4ZqqZSxTe5N8kCbeZ2F8MnQ4iol7FGSaiDjHxEYoZ8Au8OUbW7u6tGoziIYjcYO1meNp5nz54dj8fD4ZBoFcIOnUolvrHVYLiA/BCR1+128fZYY5w29FQUDAnL6XQahuG5c+fwifFKGQ5MOLRer1NnhmpEh3EDSV5iOnDy9IEzxtD7Bo9WLb5wi7nhbiOC/eBfEAGjiqesClFjuV1wrGq1miLYmCy47/P5HHqUKKOqvcmyrNVqYcHQzIGQQGpb0hCEv3DhgjGmXq+Xy+VDN01Wa7jZbHb//fc3Go0PfOADPpLu4aGJmLAAACAASURBVHHoyGypu+qosqXqeCAGKW8iHhLcSxUDyLLGYdJPMmdCRWDbbWdZ1u12Sc5hX1cqFWJW6CTULTMCt7e3J5PJaDQKgqDVarXb7VwuNxgMJpMJ+hjPEuUnBxQRhicXxzE/RFCi4ZIkKZfLvV6PQgiiqe12G3U+Go3UfRtFjnuKulVRNncPFxa/IbAN5LAbEMG68MQ2+nIbOh/3g781QTlKYvu+orGUtc1sX1D0n3GqXXXnVdPCDkWcCcOQbgkgsYMJNSYFE6fT6SRJwvit4yPL/PIv//JnPvOZd77znb/7u79rjHnKU57yute97tCP7XF0cNNLHicN6IkFd0Qaa2FL4zTOVnJF8/9ET09sOzRxbUg0om6NMfDxUBvU/+G30diFgNXm5mY+n9dwCZU9NBqNMAzH4zHtsCF2zmYzCg07nQ4TBEXVoVIisL1jisXizs5OlmUEqYh6iQWDt7q5udnv95vNZj6fH41G8CYopVfZYqVSEd+VOBvXXqlUqE3EM4ZZg2/BPUEjGht/RrwuEF899oPCoQpauuNKXF4oMXm1RFcJqTGGIDZ6UeqTRZXaunt+m8/ne70ex+LZZVnW6XSOTgua/RTh8573vK2trX6/z38XUoAeJxwLaafAtoF3004eNwuJHUjkPgvkwrI7KCmTWRjbI5RgFCUETISHVIJeUYQT5SRzniJlusCgM1TyTO0XTNFyucyuKK5AQ5dKpVqtNplM+v0+OqxerxP8hIzKFW1tbSE6EVs4oKPRqNVqwf0jeMt0C2QcdWNZll24cGF7e5vLrFarbE/bLS6q0WjAyBDdBk9C3dcUpuNykMj07kJbI8RVqTabzTQbyGMZqW1lgAJTQB5kToPZ8Mq588phi/00Go1YS6xG/D93KAp/dLtdKVqYxsxkrtfrhByOoh/CakX4lre85dCP5HEMUNpJizVzoJy2eHQ392xPG5afjpCsaisqioGxXTmMbTNtbFoun89DJIFRSXySx42bKKoIsmkwGMBPYQ8UNuAh5XK54XDY7XYDW/YeRRF+GGY7fliWZWp8TF3X5uYmVYAk88IwhAiaZRnZxyAIGo3G7u4uYy7wO5GAUAQZwAsxdTAY0FkmDEM8QsoTIzuglbAneUquhdp/RUfxMhG1uIlcgvp+cauVZXQb0Hi4cMselBp0bxQ+H7oqchqgG2M0RZmlMp1O8Rf1FIIgoEUtD9oYQ/Gowt1YNiw5mMlqxX7o8IObbx+4hps+XPYCpRePyLbyWAlpwZVun9m/gt7YJ6sIErtClGiILo4dZjUCi0o+vs3ssEBR9brd7tbWFoJJcxu63W6xWCyXy+xtMBjA1lMnUgKSqK52u03rtcFgwBE5PWNnx8OIkcK76667CJziX9ZqNeKrxphisag5c0mSwE8hCsrNwXmlODIIAgKnhUIBDaeuN9PptFqtdrtdJGlq5wEhW/FuZXNgCyK7E9st80jXwK0FsnSsN00XWaBxkQZO7VR6YxctDxrriuclR9zY9Uy4m4grrbRjO8IeYhRBfuaFQXfCrjqKzK5XhLcD1rgay5BqhPjn+QLHAInalV74So6MKP6ZM3RXEcLINmxEgdHRWFQFpAzhQT6kHWgQBGgmuWUMURqPx8ViUek3MjfT6RRWJ0Pg0FV82G63u92uMYYqDhp+xnEMzzOxHWooe0dLqfSiWCwSxUVQwrIhsJbYNje9Xo/sIzeBUOpsNiMcqnWOeKV8DRe23W5TYtHtdhuNhjEmsq3X8InxoUUmQmSHdor9fg/otEHyxPXwllepOp5z81Wfw5rBKgrDkEA6lFHWJ3QqGVgyzjBcRqMRbiLPOooiKvR1GsdHlvG4hSAG3bW+wwvm8BGdnsfKpKCQ7j90kDdfJeFih4qARzyQP4wxxAOxstU4jTI7zB3iogQVjTHj8Rj1kMvlVNVOopGoaRRFMPrw0ghgkp+r1Wr1ep2aemiltNtmOVFrge4M7OAn3DiI73gJXBSXgOTFveDMmdbERAvin6mdQRFFEc4oDWiYRJEkSb1epxdlr9dDfyOs+ZUku3xBY1uyGTuqaWWm9lTB9Y+VEVzOYROrL5fLaE08RUhSiqInSQLthc4J0ErZP2uVYhhyt8QPjDFBEFDhk8/n+/0+lg3/RcsehbHiFeEtjGtyBFdCv13IgXscFogvrbm3UnguVA9OqQDKScpS5VyRHeNO8YNGGmEY4UXhA+HMEZak/QpcEp67ziFJklarhRNAmYQxBsOcueFwW6gPu3TpEu4ge+AMxYbtdDqVSmU4HFar1UajAfNzMBi0Wi1UJrKvXq9z/hwCL5DrojpezEO0YLlcRoPiJYzHY8b/lkqlbreLWq1UKpVKhValbjBN3A3j+Deh04kbLsZptgtltBl7u5SidtWP7DDjGGo8FzqhY1WwCGmnoMCAvHlRtFjM1IxOJhNWC2xkwqRuo6XEdg08XHjZd+KgANd6J++6HcFlsGrVzvEG9+Yh8BzXa0FjqXd8ojQeD4VKc6Y9EN8LbRdH0l2ijajMDmlOPTK/UrYMhbq9vQ0JhcQb1Q7lcpkdsgDU9RFtiira3t6O4xiS52AwgH7SbDar1SpxSzKUYRiWSqXxePzoo48i2obDYalUOnv2bLPZxDWEW9FqtfAd4bOQxcRvKJVKFG9EUUTRBR22jDFMqJA72+v1arUaApcbRbtLxV3l/+FBIr5d3kdk+/UQfyNZdQrfBVkDme3aE9j2fubKHLay3ZmtrOATFaVIcaqZH6uRih1i1HxFtIDDoSY1y1f/1ut19KtaQBz6tfuA+MkCL6E4foSMsqXuP/IzDitKwBF9yvAQke3f0DKz07opOXCpvHLykNcSH8gCqKEqT4YnSREFrTpQiiTn2HI8HqM/WFH0guG3ShByDlTHG2MUyYQRw2a01TbGwN8bDof5fP7s2bO1Wg12e7PZhBeDB1AoFO6+++6nPe1pd91119bW1nw+v3z5cmaH1JNYQvfgxe7s7HAH6MFGBpGToX6f+gfuHnkjlaCpRwk0n+FwyI3FQZRPo/ZsKnnkcQSWQZ3aZnWhnVxx9MvkBEHaiz8kWxbcQVWsGmPmdgYvAoR4qftbIgEEDHhwVKayCPktqWuabgd22Fav10NBKhFujJFOPfRr9x7hSYEcQYUjiH2pJkyG7X7kwxsES1DU08Pd+SnEcsyTEJySgljQC7daSSx8NWJEC0nELMuo85ObGEURlAT46I1Go1AodDqdXq8HDQ/Np40JXolBQ2eZXq9HRkfEnDAM6QijagQkWqvVgsCpBBtDoDS/EH9ua2tLDMDt7e1ut3vx4sVcLoeqazabEAJZ+eVy+dKlS0oa4dupcgPxyuR6zr9arTabTebac+EM/uVCYjuggz7g6qSqPqVKB6qUQkeRXjxVtOrUGYobOLVVC5RmlWCxpaYJsj5x9LmNxCcgNLFPbCmtwNFo1Gg0oija29vb29vLsuyOO+6ArrW3t3fmzJlOpxPH8ebmJuQvlKg6lx4uvCI8JmS2wt047S307Zo4Jx8qycwiULvbw4V04ekMDR0iePMD2ziNoBPyQgT0lXJW9cXK8y2w9RA9mMbGSii3MSMe22AwoIpALlez2QzDECVE3hEVRYKNbfiDCfW4faTiOBnoDMx4KpVKXMje3h6qi0wPQVFoNZz8bDZrtVoUaeCVkg3K5XLlcrnVag0Gg1KpRLl0p9OJoqjZbG5tbaF6ibuijMvlMlcNR4N8oWok2A/HHQ6HqGE+V8JVDjfxXhq3cmMVEVHuMHAak97eyGxr0GUj211+me1kJH+aO4/rhnTi/uPxG2MoY1XEdTgcGmPgWG1ubm5sbBCuKJVK2EDz+ZyC+vl83uv1zpw5Q7dYguFELDY2Ng79DnhFePhQysdVfoFt72Ks1W/sMhJHfM0+FZFXNOnoqN5KGR6kJbHHMvRwVYm1bFWkTrG8PsEEKZfLuDjqZ4184W9U12Qy0USkXq9HIJEfQtpst9tojtSOG6QYK0kSRkaQ1UOKcQIYZ/TERyXQuoWhgJPJhMtpNBqMm0jsNEGI8lQZwlnt9XrNZhMKK9kguooEtvCRgoczZ87UajXaSOI1YvXv7u5OJhM0GRKW9qRbW1sQQUk9UgSyt7dH5olMJ8q+1WqRKcQ3pRCbO8BtFMOWMLJxNJ/kvpsGu71dQ7SdcoTu58ZZpYnt2kMyVe2K+JZHj+aDcwThU1We7XabA4VhSKJ6MBj0+32sLhYnFmQURefPn4dIJYtQeVzPGr0F4JbghLZud3kzXrnYabt8kD2r9jmztWVHpKiUKvBU0muFFsD6ujTX0BatkXQghg6RRrWNVrAO4YKUhw46n8+3trYi29RqOp22Wi2FN5mIRMEfQoc6elxATpiAKs3GcBlDO7CeUXD8djabbW5usoExhoKKM2fOEOAtlUoUEcoDG41GaFYqNDTXUC3cqEo8d+7c3t5ev99vt9vf8z3fQ2e1vb29drtdr9fPnTvHz9GpOHlUFpI1pHZiY2OD3BJT3jgZgqKU/FNWCPlI3jkaOrQ1apGdk66nFpwCWrWixAQbFr7SKsXhw8+j4EGp6DRNYYFi5eAOEtXnXWCNESMlWIpphe5M03RjY4PFP5/PNzY2Wq0WwQDqUxM7Y0SVMId+E27PR3uzoNDBVR9VZnFwZebyuALb8ejoXk7kxW1vCx86IAVgAu+3jdReYudIoLTQnXgwqhxXKFVhKyoW6FIG6zKyDWjoDhOGIVRMaiGoyqLZI41AaVFN+zQCEp1OR2zS0Hb+bLVaZBlrtdrdd9+NDLp8+TLFhYVC4UlPehLBT4UT5YF1Op2NjQ1EJAUSeHvQWLg/eJkoe5QuSb4gCJrNJpSZS5cubW9vk/kbDAYoPFmQqEZ8i0ajAT01CAI8Pxxl+aAUolUqFQ0iTtNU/1ValA5t7vOK7FSE21IXou2SpfZpqVPhKq+a567IPGtS0QK0mhryQfJUx3NC30mS3HXXXaJN9Xo9IhnUhkJLVjOHbrerzO6CA3q4uA2f683CwbVg4lRYH7BuKXEG1wGFVY8oQGqupJUf0SFuJ/CuYtiuN24QMeTqVIeOhsBRI+uG48JPtLp4IrDJCTqpKweVgsVikYafLtUT/ki5XCbdMhwOOQp+EtPgiC6iBUnVYMXjV9G/pt1uDwaDXC5HXTzBVRYnyUW8tGaz2el0KFiEFiFaZhzH1WqVE0ATo3Shxbbbbfp6l8tlEo3z+Xxvb69er2dZ1ul0yuUyCUJjzHQ6Zf8YbcSK+/0+XCHIiozzpTADv4Q4qrijIiUSbtEdXljzt6sulMe2EBQ1NiCUOiMtZbjzX912fDv0WWqLULF7Mtv0kYR0HMcbGxuqEdIQLrqstVotYwzB7TNnzqAIsbT6/T4rh+DHod8HL+AOB/tpQVZYasezYR+RqEeNRXaCyZqdp/s0vODlPFKS9zEc4jYAMUle76tqQR49pBhG+oW2xY+x9EvSaa44hrIh6iOEPZYNiTF4BPl8Hj2BnU6JPaE/VM5sNhOVFFkD36RarY5Go16vh5dJxBW9Tq06syNyudyZM2ee+tSn5nK5er1O2xdjDLN2L1++bIzhQPip7JALxO2DWAEHJwxDJiDu7Ow89thjo9GoUCjs7Ozkcrl+v09dvIb0EnB77LHHoN5wZyCXxnaKoSpGuBVw9wn54klUKpVutxvbvs+kOXO2DaZK4iAfLTw4BPrtxJ3JrmzH6n7FZaqbAYF3tGDidF8jpGGMqdVqzWZT1HcFxlnhRDiSJCFQgeKEM4XRRqEOj4yEAv4fa0Z7uOOOOw4ybv464BXh4cDVgpi9yBH0n9ZQaItMlepLbD9l8i7LyPaZ12qcAOnRXVfg1FQc3VFuXfAEJRoO4i5gFxNiQqwo5sM7r4YderLYTKqyx09iYdC6WhOIUF3EDHGV8IcQHwxgwmAn1Ye/hTeJe4cnR9dQSA1RFNVqte3t7U6nY4ypVCpM0CUM22g0NjY2GLQEOWUymbTbbeK3qGdVQFIU2Ov10jQl3UgADaINycX5fH7+/Hmudzwez2YzopqUhZCt7Ha7XIiYpbiAdHqjpwyJKHxEIqjG1giORiO2gTErK5M3lEJvbmZshwDzICKnoettgMQ2rV1I0KDeWM/6XGwaCS4sLWOMaFnGNs/jUcLyxSkXq5k9UAjBc+fvyHZ/rdfr29vbgTM7ZWdnxxjTaDSm0+mlS5f2E5U3gtvKzb9ZUEmpKKD78V9cKqYb9SJQQCQqsiPLjXU1ltmbejMD2z776KKXSAdPnFlGaivPcnZM2lUjoqg3EmbGGRiS2vI49oZ6YFVw85MkQRnEdn63WKB4MHzYaDQQOugJZR9pkIboQcxx5lBgOAeUBLUHvV4PIiiZOWrkVbYBBSaxwwF6vR6XMBqN2u12ZgfwEuGE8sPaRh0izhqNBlrcGLO1tYV+6na7xIqJcxIRlVInsImA5r3gSjc3N5mSwd3AwxBBlDAvzivnhpQP7BhYno76cXP/KQPIbFuvzFY3cejbIF8gl9cNiipizDwvY11DiSPCobQpUMDc2Lm7inZK29H6NY5jjCfiz+ywXq+LlqWAAQaiezLoVPonEMyo1+uHfje8aLtRqDkCEmqNNExs47SFz3knNU9VhhXenrvDzBaluT+Hf5VzusxI0R4Wp9QTZ5bhZpiWM7grt8dOUhG99iBtJ4VkjMnsQHD4eEprpc5QSVVW8C3VDlmWdbvdxI5cMMbg/eAe4Rdiv6v3P5k2+p8lSaLJEiRp0LKdTufOO++s1Wp03Ebf5PN5qr5COzuC2CwxScbNIx/JzFEOWKlUYI3iYsKsCW1jtshOKkht1xh4MfgK3W4XNQZ7lmJH+peivXhx6GuKHQl9hsskDqzEqu6heK3qZqLGN3yFMyStkO4zOesWQmrnJblaUMQZcWV1SwlCoJmiKKpUKpmtPsQdN8aMx2O1LoKcBR2UCHytVms0GlhF6EuMJASLOzKMOZdZljEmGjOLCopk1eTOG4dXhDcEXicpiTVPaGU6egGhU7SAmc8+Xf230t2US6FjGUfvHsq68cQZIbuy13nqDGNbsz0LAKnq/iqzjRxxd9iz7jOiARltrpxBkzrFhXBnyCxiNaOh2YaY5+bmppiWuKT9fh/6CY4O9QmtVmsymWxsbERRhEJl50960pPQf5BWxG6dTqfFYhqE41wuhx+ZpOV5PImiqGIq03kwGAySZF4pn02SJnY9LpdCl3BYcKkpoFbhh7GdWnEc0WriWeAoMHEC8q16d/Gt5hdGthmNlCU6UiIYaqvIkwrSyDtRaiOzwyD59hZ9HdxlJm9P7JjIzm1mgXFbZrMZ5j6V7/jiOOiIQVZgZCdbwW3BemPBUEjTarUo+EntLJFKpSJrj6PQM4gQvUw6rbejCE17RXj9iG1PdEzj9Rsf0J2Sc6mIwRr95/7KTSXKI0wtDkUdRnYM0GE5mrciEttocUF8rNleTzBwelqmztBdvDRyMNqAb/GxxMTh0MQ28YdoLRbb8Uyj0WgymVSrVdnvlMPfddddnIC8vcRWbkAlRdt1Op12u72xscGKQlfFcVyv1+kpOp/PNzc3jTGPP/74cNgeTb5jgr3dzq7rj7Z7T3h1nV5CpjyKov6wUCzW270z33PXs/O5Ov3e1AFgNBrhp3KSXE65XKaRN3YAd0AGJb4depF22/REzbLszjvvLJfL8HQoTUvTFCGrJCvXi92AK6z5HnqmBI0XHmhgx2BxA1Gft9YbIVmROr1wJaAw1+T+surI9YZhyIQs1B4PyzUsSAoWCgXi58Sl6RGDHfbYY48ZY+68884wDHu9njohYPETY2eKFt3+Go0GXQBJIcMZPoq4lFeE1wk3s3LV1+Ba9Qc2MrEpMj1X/QlaikWpD9F/smFvUB0GR1+8eJIh0eAaPcnayeYKY7JUJMoT20pYcjZxipHdyCfyZTabMVeI7RXnlA2uKYNUL/C4EUnT6fR7v/d70S4MYyJ5trOzMx6PaTHDejPGdLvdfD4P9wSpBPek0WgQz+z3+63WTqvzzeHoW6PxxSD4bjQC1WucVjgcFI9zNpsFwSBNe1/52kO5XKVaecr25n8rFp80HA5JJUZ29BITDLD9qUqkzKPVamkkPa7YaDTa3d2Fnire0Hg8pmyDOwZ9Rvw1OUCpnZlHorRcLuPluL44zJ2VTzaw/QrE9z6s0MsxQBwZCZbY9hcVHVcGnG4I4QRjDI8VGqc8gV6vR4CdFG8QBPl8HpeROv1SqTQYDNI0bTQaaDWsHxYwupNlf/78eYaEKCpGNc729naxWOx0OqnvNXoSQOAlOEC5GEhtS/uDbJnajsBYmpj/BwxI7qelXBv2BtVhaNsMBlfOTLi1LOLrQLpqxPz6RJGbUuI56u7lnDFvgR0xn9kp7a47yJJAH5AzQz9RGBcEgagfZMvSNKWBJ8Z7v99vNpukA3O5HKV+1Wr10qVLqa33UhdjqtEh7HU6HTaez+eVSqXRaOzsXGh3vzkaf3swPG9MFsdxlqVh+ETyRmk2dSdBQ8AL1WXCWInj0Wj8yGj8yF57I5+7I0025/NzDFeCyEopZKFQoJM4LWa4QK6r0+mg6sbjcavVUiJK3+ZyORRwv98fjUb1eh2WIx12UNu4L2Q0NbzQWB3JY8Lm2G9VhHZKTHTrDDJLbfdHvbaJnUusKD0aCOYURkySJPyd2pHOmW03irFFFBRtijUzHA7RlDy+6XTK09zY2GCWCLU08KoopUhsCzeWHKECmgRVKhVjzOXLl/rDr21sPt+YrcO9LV4RXgMyy5Unr3Dwn6x3oaT8zJV5eNYK9hfW6/pjsbL3i8FKHRKvWJ/RXA9+juxW/jK0E8BPuCC4DiT7jJhP9ylrcX8l8ou4CdGVY97EyBChjk9YaToEQpw7T96OqoM4jqEhJLaJKMFP1g/WNJJlMBjk8/l6vb63t6eC+l6vZ2wCG/8SBxEnyRgzGAwazdxXH/5f7c5/zWaTXC5XKORRvWxAbzbWEuKMij2ujpAmzmKWZfTF5ijGmFb7Yi63WywW+6PcbP7D584+s1wuJ0kSxzEjLGCNUmi/vb2t+BvClHOAoL+1tcVkKJ4UA6rCMGw2m+12m5mFXKN8FF5M/ibRCNeDc+YrnsuatcHjUKRxJcf7REHuYM4ZPe8SRFV7qmJW4g3ElknsDYdD+MDG2g3GGNQhQW+sqziO6eSA91wsFmkYBKV5e3ubChxjpzVh3qk+VcZKlmW1Wu0757/4+MX/NY+HT37Scw79tnhFeCBktv4dd+rgscE1obPMFtrzXzeHxE9wIPgKFoB2JT73gu65KqWF8KbLUTz4TZBDSfAtu7LvyW2pFLMreTEu0qXqq4VvkbNKBCJTXPsDiyex04sUkdMjhiaQ2T6NmVPNJtoI9eC5XO7y5cthGFKkiBWfy+VqtRrsc5KFlKu3222ihVhXGh0OqS/LskuXLuEfdLvtLDh//uI35/NpHM+NVXuR7bMlRwEVlWWZRrOKSiqdlNrOO/yNR8vkxSRJdvb+eTj+1tO+7yez2GRZRnKIVpPGmHK5/Nhjj919990qOBO7Z2Njg5Y6xnYC00NBQKP76cGmjIMxRgFnHi7tv3E+pNsSO0hvzUrmcehNj9f2mL25SOyAJKUDZVq5640VFdgeoZGdI8+zwCajARCXzLsv+yaxXUlJo545c6ZarfZ6PWyLdrtdrVZJYye2g4G80l6vt729TZA2SRJyjZVq8PA3/ro3eCzNYj4/9DvjFeFVkDktYAjyhAcuS0j2YdWnlgcv5eemLoxluxAliCzQcHpFJTcVptfeElvfvd+JKVinJZXZQRnA2Jy5Egapnd+tc1M6wVgtrl2BqzJpTzgQ7vtdwhpHH/minIq5cuKrtkmdkXgqaBMdRqE5yYjUNjPjKURRhFdEMBC3D4NJ+gk6pUbXMrNic3OT2obEVnQEQUBesFKpsKtGozGe7PRH/56ZEdpFbmtmi8xwYembjMpXkgmBiIKkOEyBVkrQQsvM5BI49GD42H9++c/OnX3unefuzbKMzBD3ql6vDwaDnZ0dpGRmG6rNZjMasI3HY0oJVW0phyZN00qlgsPHhCkFRcVFgsjabDZbrZYYrUroQrpZs1Tc4sLcSR3qmdk+MvobuyRzWpArHCXjRuEHxA5mDT1pJShk9bL8wjCEb0xlBdEI2gZB3aJ7X7lchtwrU2M4HG5sbFBfCO3LmDjOHn30/H8ak2Hk0X3m0G+OV4T7wvUCufXK3h3k5+kqVj07RLzmlwaumqVom3LabCmuIDoMgQikETPLZ1tPr5I7Qn47sL28Xc2NOOY0FEjRC7DMHAG6qOvzO08O1ijy9fYQ8mWhPMst9DSOBQNHQ+JJjjWinGAUJM/AYagjRGC40ONYsgl5QYolSRIGPuzs7ERRBDMzsvWpjAWX3KcjzGAwyBfCTv+LrfZXouiJsgrGpao/OJre2Lp+uidzDixFbH9jDHkg5CmfMy5K8dLEjmqyina21/5cnOxsNP57HNfpo03x2blz52DeE++lj0wul2PUBpE3GD17e3uKDCPo6VzKewcvKbQjhRUN5kVD+5KSNMag2KDnrF8tke3xFNqi+/2SFDcFrKjMTrDhehEmxolDSJfr0chSN874ZTQilX/sjX7ZiCZuNTEDFm2n02EZGGOIATASBNVL9JunE0XR7u5ulmVJEk/nj+22vpBlM4hRSZKQUDyKOJNXhCuwrALBwVd2tpQazCx1IssygpzLv3LdQclEBRCMMYqP5eyg7f0SEuq/vNJrUWAzZxvZLG+GGF0Z7QTySPZzjALbAeRESYQDYj9v3lzNHpIRrecit37l/rGIZWcEdj4XAjpJEtRGPp+HA8InNFtBytA/0xhDDXgURQxaUsjh/Pnzkl/UzCGGiHqltg3NE11g4p1p8shk0gsCg+Ml9gTVhySNWMZKp+FTJnaenEopjO33nbPtrYbJFAAAIABJREFU0IwxVGRzi5i2mrOTHwiptTv/NRhe2Gg8+8mVHyVByN6SJNnd3aVrc7VardVquLaTySQMwwsXLpw5c6bZbG5ubvb7/cSOOSOMjBeofC1TnLAw0GE8jkKhoKYB6AmixKPRCL7GfuCNED/8pq/87ErwYWh74aZXzkBVHNhY1gyWCoaU/F31rdU8ZDZmNbK0MN0CW8wDWRRCb7FY5BNstc3NTSLnFI9ianDTLu18fTJ/qNe7SGsFmYO8el4RHgdS2zdrQdJlllJ1kJ24qUFXl2j17HfoyKngkb4RwyKwXE1Z5RAOl88KdzNZYnlkS0mvnB2C4eozdbxVANasappDsGvlVwJvUXxLte1f6c0La6QbwoKgHJ/M7VSmhT3wHLUkZI8jtrifRORIuc3slPZ6vR7ZqWzII/QEzxR5AaNBFV39fl/z3jDzMbHF7+DncTz61mP/MI93UB4if7ISuCicXbxDfIKNjQ20LJxVFp7rHIRhSCW7sW2YWIGkf+Qs8kM0dBAEUTTfa//bYPjtpz75JbPZE+7jmTNnLl26tLe3J13IGGEmTw2Hw729vSRJNjc3GV4f2X4UUG9g09D3i2pI5K+oIrwLuCnD4ZDO4HgwRPbWr+HA6f0W2OzDca58iRo3XBna0mRFfRbMdAWHjLXCiWzjqEW2xShmGT+fzWb1ej21owf7/X6xWBwMBgo5BHbSVmoHrch8zLLs7Nmzxph+vw/PiyoXbm8uZ85f/Mxw/BgMYQlMZOPRpVpu1fzNEUEBnGVJlxy4tY/rTCi6qDWxRobyB8IiZ6uUEoeCTyYjsD29UIErO+WL1IO+ZAOk3rImVpKf/6oHtOx0nczCgUI7VThZ25VbunbNNicH2dpmcuvtoQW7hF0tT1CTVNKrbhzyVGYLxkOns53mB0W2qSPPomDBDpEpItrl8/lLly5RisC8bzQZcpDKLZJk4+ljX/+vj0+mF6CKILCMrVlU0DVJEqx+zoQQGWdCpURo2V7ITWKVvAWKcJC/lNrG5aW/NjXUTGgJw3AwfPwrD/8/8+TRcrm0tbUF1bBer4vPyaGZCbWxscHYQlJQWZYNh0OIHrQCD4IAyUuHVbUd0LLkFQjDkIZtNBAIgoB3gRD0+sUjyzWzPVmOZ+XzasulI9yN2gicclVRt1zLdcHH4kbh8edsf6LYNh8nYQwFl9QvWpB7VS6XscMg36Z2tkmWZdVqVSUTtEogTchioHK0VMq++e1P9AePZrbWi3QvYQ9u7BHdzFvGSD9qLLtKLtJraS3IW8oLJs8S2XeQpB3aSy34EKOcG1vKmkY/ZZb4vnB6oW0OoiVFgmel6xbZcWvGBo4WNuONElVH3yrhtJ4sJ67HGt/xhGD9Sa6xh5Dd7vpZWVimvGngtA0yThVpzvaOIREYOXPd4INEltOvPcBA6ff729vbGlKIagnDECfSGANngQdBLXOapuNJb558eR63RqNePp/v9XputJaAKka9niBBKtUyzuw0YKYd5WzhAT/kXeBMMltTgRNJ3R6KB5eXqCmuJzZElmUXd/53q/3I0576iny+pMVPmVqapghlROTW1haFgzh8g8GAcU5ks4wxvV6PiRM7OztPecpT0HYIWS6EFyQMQygetP4KgqBWq7Xb7Vwu5wa9V0IWcM5OvU+PrKzCTeKsX7QKJsW2dp6vZCJj6WZZptyeUoOZTQkTTCYTrIVHhJwRE0RHGUuJFx7bScg0sYPS1W636f+OhXf58uVyuZyZvf/8ymdm8wmaD0uLlUNTN+jKpGwO9zYa7xGC/Vwld4ODxPrRSeZKUklmK9DXa0FZc7yQhGhQSIAVzzhWPs9sTWuWZYPBAINdx3XDbnJB1iC0fZMXaB1C4HTTkGms8G/OzvBcs3+9bFe7kTcNC2JiAWvsIe6JS6lInCrAhS1VPp86hS6oB8wgZD3yS5wOdW4kcoX1Q4STfC1JF37C0Zm4C7FzMBjM7XzB0FaJDUe73f4/J2lH43blqioqrnRRaPt2hpZSOLWj3pvNJmydbrdL7w+Ogo9IlIUWaIllIGdZNplM0NaKwTDZh1IzVP4TSy5pf+2RvxyP21mWMffuzJkzQRCg1zlz9Oj29nYcx/1+3xhD2DaOY/QZm/X7fUyNnZ0dhDj13QROuFdcO0lBDoFq5NyuuoBDpwu/cegzV3Uo94MUng4tLw2ffo0WlBQKLT/IXZMyyxS4Mpa6bGxZM3ePEAXOt+ooWAPtdpukLwovSRLWQK/XozMRR+Qesv9KpUKalsx3nH770u4/ZyahoxD+KC0RXDuM+39993A9jtsjzCyzXOSLYz6BZSwn0haQrq0Yc/eT2la82huvlrLK++3EdSbYfpmLQSCL2IJxCKWZbeWsdsaZJcJg2svNDS27fVk6Z7ZU4Kq3S65hZumgkS0GV1Jkv9dSAuLoYv03gmUxsYD97KHUkjz1SbbPoGYFukM7jJcHzX0jh8d4NobXEPomzhnZ3sfGUq6Q6YpeKmSKp0UvR2NMHMdMR2KZIdlns9l4cnE0/Y9SOc+QJvpzsvbYABscE4d/m82mMQadaoyBm4rNLqUFiZSWp5FtoBrbRpRE+OWSQoLlXsEClbqaTqeXL19uNpvcrvm899iFT33fU15Rq52hj9rGxkav19vb28NHaTQanU4HrYxf2Gw2uQOwRlH2xhj5lOVymRrwer2urB5XzSuPe0QQT7xHNRJbg+jKifZKH5q1rYiktBb+lfyRpSua28r9uP/KVuYpEAmX/aonqyiF8gKhZYoSY8BZJLzMuoXJySLUSjt79mwURRgiONyShNheVFCAfD4/n0+m8VfiZCeO5wSfMZ4wO9I0pQMtBjqi43YIjWK/GBsIMkuU/ePE+nCokFytNYwi2vgEWF6SdKJpJavGQchf1DhWFpy+Vd4IQaMzwdCW9RpZQmBiR/YoycRLq/TncgJfWjCxxd3rM/yBU4YY2dp//o6cXlNr3Mrk5JVV8Gauuer97CEUzIIhxbpavkAyZKltRKKfyPohv9VsNrlLqChCQ8rSYUonTisG0jPIrLNnzzJQkFQNlgdLhURjHMej0WgWPz6a/Gc+n+v1xpJ9+XxeBCjSbAqT5q6smgjDED3Hr9BzrPbEjmxFoxO0x6InasqaRKTGtl0fy159auBcEHMjShkEQRzvfv2Rv/qBp/9f5XKl1WrRH7zX6yGaKQrU6MFut8vRKayEAkP0WBYGylIpWBS5ljF3GL4SPjQ9wwJbx7J+RSmOF9kWnTln/NPC0nLfZTnl+tusmnmyYGlpJ4ElxRjLQ1amEDddeojIk3ieaMrApjl5WCT2CFfQfye1007o7BpFEfbEYDDAHtrb22NBYh2yH24dE0V4IlmW7Vz+9m7rs7n8PLZF0ogvhcrV481YI1JK93Bx3OqHp8W9llGjpKjr+x/DmawPh4LkahX0hBOVOXPDkkgxY1PoOUvFntvh45ntx6E8osIURI3IIROZQYC6t4g3Tf8NggDricVkbKAvdTifqZ2coBCl1J6+kmG4/gZyLdq5G5JdHyYNbN7oKGL914eDOMQrs4NIk8jWWQJFwBa2n9v5BsYGndiA+BJZEKVhcE1iO4eBbRLbm5tKCfaGHa3GV0zHRXazgQoVaLdWLBZHk4d7g3+nSFlGCf02mU0/Go2k8zLbKI6ie0oPiXHR3szYRsw0HGFUBQydIAiGw+Hly5fFOYRxSjM2aPeUT+AHoImNfa0YwToajdCmcRwPR70vffn/nc4uwMG5fPmyPFFIoTIQRayIoshVZq1Wy1hBxEuaswOH4YnwOanQnB1uzPuYs43ZjKVWrsfCOpcudF89LAMMWe7zQsAss4Xtoa130sYIEwVsI0uT0WbG1lwtKNfQNjTgzke2ZyQKEgElmgIPkbtEki9wyKWYGuiter2uwREkBckLGusAcFZYnOPJhb3OP4XRlJNnD4hQVghPEPfdOOnM+T6d0G8Ex60I3dC5sY9Er4Ee+VGfhtyj9Z5o5sw2WoaCUaFtumGMceP1hH1SO5c8syMuiV6i+7XusQMk3ZAIbAxhgZ+zOtlhYMdBuGdFxRUNlPmbn2TOdJXIdllz3URX3x9QUeVsw35jdSGfB05f05U/vOoGx4zkaiye/eyhlREF2dfuh5mtZU6dBldsQ41BLpeDRI7eSizTUvV5qnvDSOfWdbtd2sfgo+RyOZg1YRhCE51MJq1WC9Gzt7dXKhUfv/jP3f6XpTC0MFhsmmtYKpVougaHnjQkLb/J32CYI+zkmiRJQuKwUqlsbm4GtpQisy1ACZHh6uFTRlFERhCBiOzDAmi1WkmSoKIiS/XKsuSRb/1df/gI93kwGCS2twMTesvl8vb2NrG76XRKkaUqTPBfjTE4OnJE0jTd29vD1ZZrxSuGR86ZZLZhKa/wVQ33hXXOwsDAzSyZbk2Qk3NTpsP91v0J+mPhbUptf+3IMtrcb9XuzvUaMRokWygY7XQ62NaxHdAYx/Hu7q7LL53P53fccYe6HMhwZ2UaO+eZ/WdZtrP7H98+//dxPEnt6BIsqpyt5c9sLSOiFYuNRRKv7f56fbgJHiFyecWphKEMk6OjVChofhAS135aUA9JQpDFJA6Lohas4JydYx5bFrIctdTW2aBRuPzIadOcszUMMvfCK5moxnFBjOWt5CxzT7lGZe90epnN16arOCA5O5V7/S2SV6qQi/vVej234NHeLCRXmy+/nz0U275Ty0HRzGnEqo21pdzBzE7NpXOjsU180HaJbaWBIKDFtgIncRwjuFGurBByY0mSUEi3u7uLLY9bVihE5y8+uLP7f1Qbk3OYjUicarUqNxcJheghFBbZrDACjqUY2MqNfr/f6/Uw4aGuoMixyUJbi53ZcQ0EXQuFAmcrCw/jDx1Mjy7khszBXC7q9P59PP165tTsE3bD+2S0E+T+4XB48eJFPWLiganNRanvBIqfskv0dGKp2lmWqTyOtxVao0T2+gWmAEliO5fm7QSoNfnCxHYnWFaBmW38xs6xRSJnYgmbKQKf2YYY2gNqOGe5bzlb3JXZ7qOYXHSOpQVMYGcQTqfTixcvGmPUlk/GNHdbAXAs+EajwbQvTP/ZbLLX+d87u5+fz2cyQXgLIlvvIdlI0JuVlrOU3f16WdwIjjtHKKuTIN5+26Rr80zXh8wpbD/IbmUsL39OTECxUCSaxFyyxJLg/Qnt+FxiWeTeZ3YMvdZxaOmC6oRkruwF6ibzldtTIIWjl0olzOqcpashLkWsgJdPfXG6T5+UyBmJsB8Cm/OTlyn3iFNaNkXd30Y3e8BherX58mafCvrE0l7cr6QysyuJUantT634KqoL6UBr6cRW7yGdWQkFO1cWJrq0YLvdpuKYYsHAlgYGlkuMlCSGifxqbpQv7/3PVvs8kwSM7S5mrGEHjDFMsSDnl9g6SLaM41hqiWYrkU1dazGT4CHVJ1uQJYe8Vlscor4oJEr9EgsFnCNbicR5kuOkCrA//GqazjYaP4wmmEwmo9EoDMPxeLy5uZmz/FtGArXb7c3NTT7p9/uNRkPdxhniSAEA6V5FXzhbGTF6I2LbaDe7cq7WMjJL+ERb6G2Sr7wyzJAutbVa2Fu0NAAncPrpp07LtMDhZGn/qszjeo3NNOPw8RPc39FoVK1WsSqMMfP5fG9vzxhD5310IVEEFGFoqcLGEqRlOgRBkCSTb/zX34wnu5wez7fT6aDyWeTGcYrwv9mMsPxt4hEa2/RkPQv5qnmmawU6wNim+Af5ycqckLG8Bsc4zYVOQ/eV3pWAwOK1l3OApcM+c87gQG4RUJRG0f/QVmWxhrhRrnOD2E3tbG7k6YK+lA2+8llwRIw7Xj+EFBKTH+p6XRGvPURO7nAlQstBPcgTOXRka2vntY1ZeqAKnS18ntgZNys/d82m1Omfrn0aYwgo4TapEyMbEDbo9/ukAOFukFmU1uR+8i8EY8joSdq/3Pqf87iH4olt/R/UdjkHga2lw2wiocg5IJVc9g31eegSdRJgYagIwQ2e41Tl7XyD4Aku6JwOIwqu8ArAp0htWy8KCnFMWX64yLP4293Bv6dpMhgM7rjjDmrkL1++7HL9wzCkmTj298bGhhQ/e0MQG6cuU44+J5zaWRkEgWLLw4xs7Xy8VBohl05GLZegp8n7vvDqyc/LL3VhzGzaKLCdNFYuV0kkOb4L1jwaTt3yZEmjtLR6h8MhL7sxhjNnDVPtwGZUZEKoybKMUc+lUgnGL2IqjuNer9fpdGaz2XQ6ePiRv55M9xQkI4bBuiIqIGM9siw8rhdDh8e6/oW9PtwESzy4svnQfpZUYBPL8Y2Nu8xsrusgsVBhpT7LLM9KaslVKjqWm51eANoIq5bnzcQ1BdkUmtC616J3FSerFgWc2EJ4KWb9nVouAD+BcZDZbqWKgZC0cN89hFdmm2vrXQqclLuxHmpq5ymmTrpRl3xVny+62uioo8NVU4NmlT2kpxxfya1NnVax7k8SW58jtadXXSV0CgwYYyaTCQT9nKXXBkEwGo0Y8M0TpDpQY2ajKEK+EyQMw5DmHaS14uRyp/e5zCRcryLn0F44SaR8GIYMEEfuGKt9+VZxdTjxhDTI3qH2+AMHK7R0U/IFxIGCIEDnUQVPH4Asy/r9PnlHtA73HCdDL680k47CH7P542GYBtkzOp1OrVZL07TX6124cCEIgmazWa1W4RDRgG1ra4ssLAl4Tmk8Hl+4cGFjYwPvR6Sk0NYbqMZcbzeBYrKwsaWkYeIriuOKCJBzGrBpkWgRKhC6vCDTVXOh1wNLInEaJRpb6CxvEp6tfHcFSEX33dvbY7F1u12eHc/Fbb8+mUzo9WOM4e7h27F0uZm5XC4M40fP/8Nk+sRwD7WMweDD7TM2cC0jHgGFgkzsDKkD3oFrws0JSSm2sF4XGhtev+pmKyEZfR16dDknlDrT1NzIZ+a0YJabJT0aOODZiy6BmNBXkq28eKHN4cVOLbx0IV+JpBBFEfy9RqNhHGq1xLQCpG5ARgYmyw7dHNgpS7ppeljL9zC4MvoHgU03hEtj7a7Xc5HTrfiaHtON4KqpQbPKHlIoLHNmfGvjZXcws6z3wLJ5U1t0iFhxRSfeFeVuMq0gvzBWF88G4cX25AgJMHQ6nVarhSbDy+l0OmHUGYy/kGVPtFaQMCUHBmGE4Kd0A24fpAZOMrZFDhSNoaLklaZ2krACGOxTfglXLdcfNclrAiPUGBNb/iTXha7lPiAuA6eW3xgj/mqSJElyPheN0uSH2Z4I52OPPYY9wTtSKpWQ5jBfut3umTNnGFyFZO90OhQLYrpRaEGMt1qt8jTZM28EUp7aJF4QnpF68SwvJ1mxy7rQLIXZ3YWarS10XvmTnK2ykDPHCQe2UssVU4rlwFhJ7HASjAnCBogLaMmsgXw+TyegyWRC06LZbFYoFGjskNrmD6VSyZjZI49+cjjclXzAiUwt4StnOyqktj1bYsc/cc6KKxACOeB9ODiO2waXfwbRKOeQifdDaEd8XVMAzY2FXocWNFdKeY4uV92VdDLSeZN5hFrf5DOm02mv14PelthZlMS15vM5VHWRspSWD23PKswiVp4uh6hOZssz+CF9JnnTZPe5SURMucAOiRXpxlj9GthcZnYl7WV9XJ4figKgq8YeRNOvMeWCVfTXIwUXeNUYy7I9JPt9QeHpDq/8XAoytQN7jZWe4pdz68iCGEtIabfbmDiVSqXZbEIQTdNUHFHxlnd2di5cuMBqYQ3M5/N8YTie/WeWpcbpGoq6TZKEMbzKxCRJ0uv1tLrQAcYY0VsUzSPMAJ01scSrwBII8QaGw6FShsT5Fe9NLP2S9qFSusYYQm1aMziptNQh4prYqpLQ8nS4vcPRxf7o88NhPwiCer3Ot1S54U8zRQGpzUs6s7OLG40GgRkIPqntJU0ZgLlSZwQ2uUVQd2ono+EiJ7bjwX4IrqygMLbUamWIPrsWZp+7aBV+RzHzQJXT4YpYJOwfQ4fMNFJrPB5DPqIeNAiCmZ1Dks/nt7e3RS0mDqHDNZtNlJamYEa55NHv/H+zWdcYUy6XecQqGuHfSqWi8EZgh2OQzZUrrIzSUdQR3oSCemO7cRrby+eqDl/ghEmvSqzgMewXZDgIXPHnWvShJcUYJyqIOk8tq00HdYvikXRoOKQYOo/wkUxObMnU0reCK2OhsuUjSx+QAkst4SpxyiEUSspsMkMyS8G9xIJfqdZbxpqisqg399qzKztfaLPU9hBQ7oFFjFDTlgJ3ScbE8RBnVsqdBSzbQ7FtwMblL0cFFuKoukuhbfEjU0MyWnELfk5vFx5Zt9uNbUlyFEXQQRuNRq/Xq1arzWaT1lZQ8pD1zWZzZ2cHOR4ne73h52eziZ4FXhryRUS+1OkyXyqVqtVqbKuq3eC5gvmZJT3i7cWWI0PGKI5jOPdy8dFb0CiQm5FtmoWHgcA1xnS73Xq9rgakxhhiYpGdkK7Ozjk73iGzMflGo9Hr7XX7n98Mn88rWalUaDS6vb196dIl/NRer3fmzBlewJ2dnbNnz1IQiauHFjTGoNv6/T4qARlNtBAVSPcvLpYMVmqLfSeTCRWN+2XyFvxCvVbLkfZrDYdqbeds5b5eWOOMRslsJ0jauKdOnw2yNuyHYlZ6apPJY4LH5uamipuxbxhchTOXz+e73S4Bj8lkUq8Xvvno34wnbS6T/SuaxUFpt4ZiFl+JG8IOY1tHMXM61h4u9hU6vV7vS1/6UhRFL3jBCw73kJFDKoG8dBBdaIzJXa2DV2bZzNpgv1u25kCpwyjJbKWBsUItvJKUldjyMiJICnVmNtUX2o5TlEzJs5SzTwhIESHMbWNfRX2VWaqqpHBgk/bcSWKq9CXiQqQ7FYNlySZJIm6qG8aU2SvVpT84ItZiZAmroZO5XHgKMniRsIltqeM+l8xJpShqdzzJwsQh2a7BgjuYOA3Ylt0+GdpYRcYaQJnNDmY2g4vuSWy6Tr5yYvvIYCDDL0B2KEKg58WDHg6HGufN3tCdSZKYoN8ffT5Nn+DgJUkCNxVDm4BhbJssczcUJIwt/QqhyTWiyFPL8VErFtZhbNk3bBzYYSn8Fx+C/aNf0RlcDiyJzBI1A5sIZA/D4bDT6eAKUGSSZRmJRtydSqXCh9VqdTptj6f/p1H776jner2+u7trjNne3u50Ovw7m80qlQo3rdfroYzz+fzW1hYaQkwfTBOkk9v32bX2jO24ltnBGnQ/SOy4q5XqUKtdHq2xAaScpcuZ64pmydgl5iSRmNqyab3XSrtmljoU2BY/vLMEyUnuGmOazWav18NcpreAJFsQBNgQuVyOStNardZqtaIofvzSZ6bTbmyLrQmihnYsYpIktVqNx4oIZZkFtoEqbF7ywWjE9PAYlC5WK8KPfOQjb37zm8+ePdtoNL7yla8c+lEDG+4fjUZUBx9QF0a29dGC3yC3JrBhqPUnID/GdVCM410Za5HJNjFXckPYD88eE2ah/SDSByseh09RU+WZ3aUm4rJS7rIH5UlwmbLywqVke2J7Lus+aFkbYzCrMaxYZ/LV5AWmlhnhquecrTlbY4UsPNzYzrEL7Jw8XjZdph5Eail5iD8ZpJkdZLP+UV4r0gPUS5grPd3lX6W2K7FyIZFDr9WvIssiIa2iVJk68Rs79YZXQDMCh8PhYDAol8tw3I0xYRj2ej1jDEUL/FdCU2wOvLEoN+q0/zXLnij2RxRiTZNxYSYO9fuJpSizhrlwzopyOtaeOtzSRpkdKrRAVo/zxBlizywkLoEW2CxFnFF2GIZhvV7Hu0qdXtKK6xBvJIQLsUK2JvHbvO1jUigUZvHj41mlEP03tBe9Tua2sx050VKpVK/XdeGcZK1W29zcZDACxV2RMzhCsWjOn2A1yQs68og6hOFi7NJVtV94ZZY9tB0tFDqKbC/ZwEnlXhNkJ6GwjY1hqC4CH04B0siO9ApsAhujma51CDQMNWYgh2FIypAP6amWZVm3251Op5ubm+yhWq32+/3d3cemyX8kyThx5jcRbeZFSB0uDFFZaQEeaGjJq/jfXCOmxrXematitTh45Stf2e12//Zv//Zd73rXoR9SCIKABomJTb/FB6gd5Nu5M+oI0ck9PbgB5Ub25J3IK5IOCGx+C5crsewSY10EhRBZ8anT7k/pOgwonn3msC2UpVPkUG4lKpMP5Yy6qwG7mHLgyCKxJEOkGNx3Y6MuURQNh0Pu1cLh+Du1BRKh7QOgNzNnK6/jq1UWGuv88YwCSwrgJZna0RlaA6GtoJjawR3oSwm78FAJ08tpv5Vwg5wS99qD7Gg5B1q9ujQtS1k/CkXKoEEq8bwILoE4jgkSBkFAFoqJQoxNVwM2iWYOQT17uRxfbn82Tp4oEFRQlLPCLYvjGBM+tfUJ1Lwbp4oZrcnGMv5Qb1Qp0OTM2IQZQde87ZPCTRMjUcQHfNAwDKvVqjrIEPsiyU2dImLXOKWQqF74LMam1oxNhYS2O3kYht3eQ2e3K/Ppufl8TvKJJBbuNU4M95Dh6ZVKhRavjUaDC+z1etvb29K7eTukgrst2a3UICsBsaDzyWyTjQUzPbDBJKze5ErqcraqLOfga1vuoCIT8/ncZfS4dC0ICqwiTiC2RIdyuYzYEZdKby4Zvna7jUKaz+edTofby9Dj6XR6aedb8+SLpXKEpYLw6Xa74vdJrEHaGgwGnAZvGS4+OVccA8wv3rWr+jnXgdWKcGNj49CPtBIS7vJaYluDuXL77EqyPndzuebmIJALuPC5G8hiWbCCkf6cGxtoiQS2djWzsXiFboiIqrKKlcQlI2iwuLFAZQ1IMasEe+E8JV+0iOVv8RrwlsJKl9iVZ1ar1UJLBTSOXgxs4VTizBMmaq/0WOiML18DHqhMUWMZPWI66DYqOiRPl9uOZY28Oyx1eMCgaHZl7eCCqJLPmrMNWkObt3DFmbEBbURn5CRxEUaZLQ+xrtCzAAAgAElEQVRnabVarTAMO51OtVrd3NykTjmxsx53d3dJpWCDk7ORhiA2NZvNCoV5u/+v8/kTpQVRFMkZJePFE8RJomkkaoyrYKoDMj2xLNA0TRlHHti8O58kth0l0sqNvHHQwDaFUPm8Xm1UCwKasBB3OJ/P93o9ZvOyN9Y/N4rYGjJaj0bmqUIgQRC0u1+qVe7p9Uw+n280GkhhFDD3hNWFP4eulfNBK/C9vb3Nzc3QzvskAIvviGTnZsrqTewIM5m5MpVUE5LZjImxHaB0FazzwDJuriNZLneQ3IqxEsml7xrriRpj6J5KMShmB43aFWoqFApkdrHSwjBETOGrbWxsoJM6nQ6CKE3TdrtdLBbTbGiir9YqRXhJ3HOogqqlUdovCIJ+v+/GsYydBjUajejqoEbwNFeaH0Gv0RslJkyn04985COf/exn3Q+f+9znvvjFL165PdaEK4lcAzm1jNvC0mBYNJ9xiFvcYnnZN3ghmTPnIXCmiZLXNc7sSpYs9Mt+v+/6PZEttMJdkzWd2mQYwRNjBYHIKaQZEltdm1kaDvNfUttAS7eCFcZMHMWREkvGU5iUFAvCgtiRsXRE+VuE7PXCKHhl7NRNucUS96ktz7jqLSVp5D7KzBZNYtxFTt8QATcIOknO8jgSm3Q5oDrUbqX5OKgs5TVIbJs0Y+1oPVZurNgTsa2HcX/Cr7iT7vmntlhYL3NgQTAK54+dkxhD5hJ6YuZRv9+Pomg8HtfrdZp/ogkGg8F02hrN/i2On+iWmdqClmq12m635XXRho06RawlkmSJrZ6ObDsVWs/kbS+x6Eq6LHUdXD5t1ci9sY1sfH47HA6hpRgroEUZQyyyDYuNgxr7mujmyzWRiyPRofNn/Q+HwyT5UqWYtdtPDGDhWngXVAeJf9zpdM6ePTubzXZ2ds6dOzccDqvVaq/XQ0CHYUivOK5UsWWJMiI3qjKK7OgGLpbONQU7lIaX19gqda23uZ20oNDU3M5GPiA4Ohxj/O/MyfZxStwiwkJJkmAJ8S2pOBhGvO9YRVgGNOvBPkjTtFKpQP7sdDq9Xm86ndbrdRpmZWb46Hf+PgyTyeSJIlQlvHlGlMCyZ+QSCW+i7kQjJB8Uh1NvdJbfNenCg6Rab1QRYpzS0F3Ah125PVeycFqZQ4BkuehNcJ0/uRHsXI7LdTgKkpKZRWDZImKsIKEUXeS4eiczW2wuLkNq26iGdvoam0kU5nI53gH0N881bytbyQCJkBbaohG9Y4rOKaiCrhWtWScmN05/Z7ahCS8bzmhqK0yQ4HpddZcwFRNbk6vXO7MDffa785kDpT+1AHi48jncI+rhyr2QjjF2nmJ8tRHKOnTosJyMDTbEVytYzJzu2LIJEtuImVvKHzJB3J9oD+7KTC01jJ8oBUBLsOl0ure3x1oi3ES+jaRjq9Xq9Xqbm5v4Q9VqlQFDVBziFA6HwzCcdAb/EkVPzFRBIc3n82azibNIfJJbimLgof//3L1JrKzJdecXEd+Q883MO7yh3itWFYvFSSJFUaREiqIodsvw2LIMWIAX7t4JghaCAW1sGLahRcOwBG9sNLzwxgJs2IAN223AQLdEqSVRlDiUWCRVZHFQDayqN9x3x5wzvyEivPjdcypeDRRF0Sywc1F4dW/ezO+LL+IM//M//2OS4XnqorD1RlJbUigcDFv37OyMSgR3yi4idmFPktEqLqcgsAKnEHNIttThUdxSCgYLhU1PYVjcBuaeRwOAmYtaWJZlIfjF+iv9NrIImvjyXxA5MsXJZLJarSaTyYMHDyCUMZ4JFut2ux0Oh/P5HHQHHBXnqhU4YwzuU4lpRhAFKgLY8RQ5SGt1ig+r51N78n36Qg3ieQRGAHw+fL1eA8bwBFMsVBMAblPJzPwV1GK0RkMIy+Xy5OTk8PCwaZqTk5P5fA4yEUIgVwthfXL2pSwLxlwhqIz7AFfTgNJ7z66gGqIs3yhkYwVa2AC1KN8Gmdfx9898Xvf6+zrCbrf7m7/5m5/61Ke+z/fzaF1CozfSMWokI+aEGKk2K3yKlWRFUpxK3/D9vHzC+bTJK4pWBUtPHoa5McJ+1Jw1irC1zvdqRc6DaB0Uy4pMLdAB5WL6nTUW1l2rWhWKlREipe5H143sjSo9e1oLPLqe+FEgLNZ8tVqlDVvqMHD2ull1PfWybSJLz12rP3MPdwuot+Dn2J1CRotgegB/FNHV9dfdr0dUSx1eqsgajhjRpzYPO79ciLuvc3VYZJcMY+M97g2wMw7JyYRFljFIIVAtnTo/IwCdur1aVMpwjYoo8Ml8QiZKPVVVzedzvBQZTy7i/ehHN00zmUzomhiNRsTvTGk/ODgQyN1fLL5Ulta5whij1Sw4DkokAd+DNslDWSwW7CUr8pJaksE56TNi/zPAlpZ/jc3VrmVCucKjN81uNp8tllvn3HAwbkTHhJX3QuGJMaYpKQ+3kT4zraNjrFXckuvPRXkAnVINl8FXsszumme9t3me7+/vs7xcqg5D4G+zLGN01Gq1Ojo6IkwkGeJKFJgh+2FIEAcEwFBbO6J0WCmsxYbXHID3axgaY4R3o8c23Yrx+yB2seWwTmVZwgw3goI2TQM4TLI1HA71IBAwgQpMJhONvKkdTiYTgJler3d0dOS9f/Dgwa1bt9QwjsdjAgX+cLub1+0z1rU2XuUzLLVaCfVtRrTCCRF4XtZa7bFxCTeee2FhG5no1PnbhkH+XV9vg7IMd6ixs03GNaSwu8LrUbQ3XcK/f+0G/ra5z/rSjZhmynoxhMZsDrwFZV4CT95MGVkDT5U88CKXbIWgpWIZRqwkKBbPm4dNZKQ5LnYTJDNIU5oXSkUuQlwYX8VkWhmMHqXGTlzfyDA59rEuJh+FSbKCMKvFb5NRUE4EVF2iB6/uARtElVT9HwYufUYcTuxyjDF1nAq1KcRdvEFE2Ipmt66SS+Qr4S9ojvtGl5Y+evuGYUlpVpd6X138KGNpncgfcwFWgNY04UvrPZrU2oT1gD2tZNg3/BdAJ76CdtIgnanMl4e2AC2FBw2URNbCCviwnq8+37YbJ2rdJOv4GKIfWDZ8uD4pakL8G8tOix5fROmONyvtGfjLixJK06621R3jzle7nTExxIdUF6zNrbHRRB/NbJWXxc0sPuLcHukC2RVeLa0gOOFCK09VA+W2befzOcu+Wq2IKfkVgGcUfQAnJTdrjcm+1bT9xSLf29trZKyPlmn1ceAMwJALmeVbybzGoigICvW41XWNn4Dxqx14GAG2FnmtSXp/tYrvhFBmZfx69vBQe5Nk6m/lC/lMxX4ou/LtTsZscUBICrmRXPqM2e2Xl5dEt/P5nHlYqKbBDu12u5PJhIsETMafHR0dLRYLLNJoNFqtLoP9hnVN274GkxRFsVqtsEXj8Zi71lYfkAwjE7IURzUioqIGliIUYbFKxv9wX2++vi+88MLv/d7vvfTSS/fv3/+N3/iN97znPb/927/9w/rK+PBMkJhUxWqZq0C+pQ099nuO3siSTrW3+kYvTWBqUtO0wCddO/gDnhbhp5UJSgRcegtkb9ZaGGhppqKITSZ0c3xqGrQS47TS08O/dfic4oFAAZp38nMVmimKQgeAOVG9YYuDdbCw7D9V2gUX4rean6W4qBeyjGbPGpFYKWtbme77PTSljDHwEfRkGknxWU/NL8ObtQ9qbGSTWb5BBJFLmVScf08h9fgw51NfmhEqwM4VuqRVNMiwYv5EnZ/6S/Owd/QyOscmMghGepmj6LMQ2+Jp4KkDFThpZWGrUHhjn9BNwYdryB9CaNvN+eWf+7ANSYMKNAdr7WazMcbgMOica0RHm/I2zw7NT1JDthwOlfOIF/QyQiiEEGIVzWndHnu/KstHBr0POTcKIWSu5AK8DFNUl9z65ba6u1z/dbRNr3NrNHw8c6MYr0QkWtGcY2Vy0aLU8oGVFkM1kawte9jJTFOTOE4rEudNs/Ptl337YQJQsMHLy8tbt24RJSjIzK/oGde2Fg4LHgvXyMAmYhqdWEtACdMHL1vXNdQnJTqyMhp0tqIY7JP5U1FmRKsH1YgZk2Uetpn8ULHlRro1TNJUZiSjcjImkEOBK6qqajgcUhQkKsXova6mQ4gwHo+Jzyj7gTk1zfbB2Z9at9X9X4muLBVoIjmwBI1cMT5pTg9QkXp3J9QeDIVaobc67D/w680d4Xg8/uVf/mVjzK//+q8bY65du/bD+j4rTWZqETQ71ARZdwbPNW0i+d6faa8iwNdeuldcUl9Uh6HGS60eRJIQAj4D/8SV6HlTQF/DTySIioc1ORUMxAsGkXUAO1VJwygIWxREJYTAGVMEAABBnSh4kS4RoAfcB129PM+n0ym4LpqBVHSstdDEOQOcTK6cfaaFtEaaRow4Y55OKwo1nU5HyRHfIxXTyy5kqlTKE3EJZ7h9Q5OiFSqgAolawcVbGLHarOebXoN/mPP5xleW8DnVEWqWme4lkzCE03QwS+gwhPlKhbBCSmqFYU9IdHFxQTiMXKeXtpxWNHhxhKh4EBca0V6BWrler9u2Ojn/bDRX5a5WVNop0vOZ4/HYOQfwzn5WhABLh7vV1J+nz6cBo4FnNE1jXWjaB1Vzr/WzsrhWZI+NB48MBsPUWhljOA5Oxihi7EIYFO5xFx/t9GyMZxfzr7Z+1e3c6HduO7tvjA0ymGy73cLp58JQDCCgVEASh0QIqDlQLoM4cJyE0eJ1qnX15Wz9cWOmQUr+p6ene3t7EGcQK4cPgofgA3UpjNCe8evAd8aYfr9PiFmIEixcR6w8wQf+lT+xgglj7vQx8ehTWo1G7UbUDIpEf19xo5jwGwDAc+lAUEiJfE5DLt6J691utzdu3MiyjPoox3MwGBA6hxCm0+l2u6VplZlfZIFscu+9MeHFl/+Fdavor9xwI71tu91ub28vlw7a9XqtYNJ2uyWkwOly43TOcJpwyUEK8BhkTUje6iz/wK83d4SHh4e/9mu/9kP/MpN07DWiIMBLkRw9olpjY9h69j37C+0b1GxNYphsguy9LrMkLgO74/xkoqlopYHdiiycErWjENiskOh4liEEQlQvDexeSLA8+xjj5eUl+w+MgtsEHOcke++hUcUYlVhM0NrpdJDyI7Tf29ujnoq7zRIFIzwWwSw0LfylMYbF1GIheB2eXunsWdJrASgk7PwSDw3FERzjja2Buv5G+vFx7Vbo0Y0MBFZno/XX1zktJ/0k6oGwmOlWwdDnybA3faVo2/d46f7Br+NWX+c7NWdlrTQ1NGKYJP9o1LMqyve6yG+5XIIxssjL5bIsS0wG8GPbtsvlEi9Icp9LB1smAutZZu+f/HndzIyQLyhOg2dwzeBIdaLQDaHDSGE1CGXfJgNgtVsGxzm7PGvjaesfVM15mV8b9t85Gjy6Xm+893leeBEqsjJ2jmfqpTIdHq7phjZ0u48P+085Vy3XLy/W3/Bh1y1v9TrvNLEDOBaFusXOJ1/B02gvJp9MLsvaslc5hpws5CzIgOt6s9r9VVH8gnMFp081dAi1V6sVu0gNAtcAZK1EJ8q0xF6NNFMScYIiEt/kIqCPZUB5lYzHJsL3BLVpvJjCPxqNKQvUJfSxIpkMjKsuRZmkuhr+d/UIoij4aMiFO1mv1+PxmIoMCAFxUowRZF7jOdikUYj0WZZhiOp6991X/9DYZQhXXjAK2sxfaZEIy0b+XYucAg9al0IRIOwJHAgydW3IURvyw339qGuEpDv82z5crnMyX0Z3uZG+PQWC7JuxG/TTCBkU+7ZS6DIJ44ZXFK6UOkvlQLYyoIt3ZtIHnfK8sUc8RfAfTZKMdDHHRK5pOBwi064APUEuN0vkZa2FUgzqQjlaO70oqNR1DWed12q1ou2awNNLnRWXUJYl4C2hPb5QTbNmn5nooxK6FjIl1UmxVnsiwcpILBjUSYGEI6r3zrppSTxIcVcTXzyZFZlKlUFQXC5/mO6sVrV9WIBYAw4nAweo4NoEdX9TUPStXpUMlzFSc33d1k2xUH7oZd5IlLFK4AS6tsQl+lAombDaKZmWnUDVEM0XHgE+jN3iZWD92dlZlrk79/90vTnOpe21kmHXaonY+eBd2onVikiV4qIK/nPcVOaN29/s7i53f93rHu7tPTno/mJVoc58xSWh1I35jiKtx83qxF2eCwmESdDjPO/sDd+3P/nAenNRNXcu5p/td58aj97tXNbv9xE/K5JZQl4EdHAeWodTwIa0gzvlABpjaF8jPK2qy7n90tH+J9frra4ArLEQAlWxg4MDjiRTmTR5IuIkMIUhoseNBaxlflCv1+NcOBm8TIJFLGtlTqSaGt1sQUaqeamPxkRGA8esHURW+Lr6NJWOpwAYKBGeFY+YibxD27YIOIBIn56e4t2hUyF75oUC1rYtErj4oel0en5+nmXZ5eXFyflfNu0xT4fTzTpg9/RQY/aZ1qSBb1mWO5lBwS3PZjPCMk5BCIH3ZKK35x9uUvohvt4GsgzAo5FsrJBONSv8NH3wCkhiDkhi2rdmzzvpfs2ShqfXhfakFCZpmoaPkKLPymzmSOCECpkUmiUCfXxmlYzqhe2iYAU5KBH6eDwGND86OppMJovFQk8au43qDoEq16PXjNHMRW3VSJDF5RHWsTvNG8bhgkiAIGmSygoQLKcwC/+lg9AJX0bPUprDkWjyD3qQtVTpRXZLd7kxhj7ckFTdcqFvaC7CYWsfFhjiA5UoqI/SJkL+megyg8VZAb2/NyiqL7Iu5xzdCxpou4Qa81bpYBAmDiZMAVvdS14GzKK7MR6Pj4+Pm6ah84F4iB5B5xyBTlmW0+kU61PXNSi3plybzWa+/Np6+wp+yIr6DM89yLAtUv+dzFEC0AvSyNGVkYFeuobUtl5F9LaZr/+6bS6uHXy827neNE3TXKWw3vtut0tkFqQ8pqhXJsLxVtrRNCYwMmrKy/SV7XY7GExGw8NB7/Hz2dOnl3cO9z+Wuz0InHwCi2Zl5t9OxHi9dPRTxSxkGIWR0IHkhiVlu9bNWdV+s9t9b9M0eLVbt2610oFnrV0sFgR51ALY4YWIllFRI0mdz+fYMZJCEn1CZO6LnUB4xM2GpK0+Js2R6f7XiqOeRJsILurO54A3IlRkEg68EYwagEF/6KQwb6Upfjweb7fb+Xy+WCzIkne73dHREbtOQwTkFxjl2LbtnTt32HIX87/aVXexIU767rGTHEZAeMyp4t7aHZvnOXUBjJiafSKGLMuYjmKSYVLszL8V4PkBXtnv/M7v/H3+/vd///c//elPP/7449/n+zHBQUiSToT2FTXSCrkRs5gl2sSa5L3pcsSkyY+w0T3MytHI3Uq90Es/gBEoD6/GHiJi4lKDzNAyMriLPZomnVwVsZWR1JDthbojNXnMuvce1B6uIO5QaSz6h9jQVpixeNaOzEBhm9IU74R5yDHQIp9zjks1Envip9mgRKz8sBC6P1uWZ6EuDUC/kDHWrWgLGIlaMhksHB6eR8grSoOKTTpn9Kr0gb7xEfuHu2te91Lkhycek7kH6rG+98uLjBxFUJMQVomvTeJTfSL0wxbSGAijqdeTJ2KkZEXaqU0HN+4khDCdTqPoARHcUJghNdSqDOpiDx482FZ/s1h9i/vFdaWeGGOnLAyCG/hKaoyAHzXl4oixf67iv+qV5fqvOuX+tYNfyNwVnMBhAcvSvrRGxLgZIuFEAZG14omzyQuhy3uZRMa1ccF51tkbvtMHc375xRDrTnEUo1EHxqZSHQMFY6+gP2O3dVu3bbS5dS5YF6OJxrXRVNFWPlZ1a8tObk1dV007Hw4HmdsngDNCJNHQxwtVm5IVYz0wAqUMX8wTmqgXopw+ei+N82l4ERPtQ0X1sWzwEnigeiI2mw0xsRcuGxQ5dXKNiOATqbOXiKJ0V4eE+O2kgqAN9bwHP8cjoxskjd4wdKVMeUOLdW9v7+Ts6fX2RXAOfSgK53IZ2uhijNF/F6KmrYeLR2BFlhKi+3A4VNOtsByn+7FHf3Zv7+BvPdd/p9ePOiOMMVIAa9tWCSOc9kzGGrTCRlHsSLGv9KPah7kVQdReShEgTl2g7lQnnL0ggtSK2BAVBlGt5Zkpv1l74XmixFOZEKCJE3m/luudc0z+jKKJVUjzlvf+8PCw2+2ChlGFbkX9gUmV1CpAyYuiwMPphsjzHJwNK6bEAe4Ie0fDBp/Mwd7JyDG61lgHaiHq0kCTyNQJDPltI8rFnD0FltPdn8ngPZ/QdE0is17KzAEvfQtR5jPoA7XJCCcjQuR83Zs6NnXMRA8aN7yxZPjG3Zhm+Rpoa8jVSZQ2+YqQCKRp5qqRjbYqs1eRuKTJodvtwlvZbDY3btwopEPDJrUchaf4QDQWuDYG5j148GBbvbzefhuXAOyp9tQkNVFdxizLACQ6nQ4cdCw4UKpm5JlwbXbVbFc/Z104OvhkZvdidJvNukgUQPI8J1QHKo8yn/bw8NB7D+CmJI6uzILfbrfeuKzT8zGLPjTetLGt1sHW3kcT2qYO0Ydgs5vRT9bLr5+v/+jU/9Ri3TEu89moqTdtW4Us2O6grXuhWbchGJfVvglVleWhyHPTrE3eGOtM3jUmGtMaV3Ty3DQxtHU83WzzUdY0XdN0733toqma+I79jp3019cPi+uDYpJl79rLnYw5VEDbGIMsDq6LddaWXB4cNQhNi3U34px46F5aJgg4fCKIo1ma2ig+MyYD1Iz03bNvYfegyR5FJ11ZWho7lolUHoHLfD5XKDXGuFqtLi4uqMIgO86lWilCURnp9XrUEZ1z169f/+4rn1uuv2NkhDJxiWJCQciPOuaX/RZCAAXRHxJXsQ8Jdwh9cplkEKSXCeOGm1wsFubW9+9zvq/X2wCNQn4h2CE1zkXuIYU0WxlbxV85Ydxl0uMcE54xBl3rfOpNzcNt+Ea4IRrWqes1xoA7ER6q3rGV1lfNxgjohsOhEWl5J9VdxjSntP7VakXlDwqZMWa5XHL7FxcXENaxpBcXF0FUhbxo63RlIraSy9n38/ncyPQ4HC07ni11cXGBF9ds+/r16whrsZiqR0OyMplMeCexIVxBmxBbWmn/r0UniYfFQnEBbTL31UlhQF2F1sAbkZLSRxOEkpO+n2+nE1zx3iaZaPi6l5P6IsaFZ6Tu7U33oWJKenQb6c5Mi5SwKnA2+pkaAivwQL5ViE5QSDpTq6qiNcJ7f3x8THDNrtCnHGM8OzubzWZGqkGE7TxQUsa2bc8vnq/a51LkQxcwJhIBQWg4QeZ8aeZXiiwARAYE2652QlPvmheq5uVO8c7J6D0xGFdcNVzjzNq2rb01eXnncrPYbnaNaX3c1q0tO+0u81lR1b7ZFcFlIe9V1a7d1bHXbVyo6zqEtmOjzcvSFNY3RZ77piljY23slEWeAyAE1/pOOVyHnx2445vx6YPRzdq8q1P0up29ZreLvu50twfjyXobs9D6NsZgbGTiQZlle1KuNtbSR+jLMvM+qyrnfbu35ze7fFW13nlfvvRg2zlZ75+u3cvVbpGXd8581bQfue7+wVPdj+63RVNVVXV0dIRrr2WeQwgBGdIo6g2aAHlpGtF6/C7R6TYCnMAg9dK9QKiaokoanBEbFdJTYaXgAjGKwqfmnWC5mcjj4VN5+hwconko63i43W53fHzctu1gMAD55OBEYcx6mReYVnnv3X9mtvi61jW0HKDQpRV2IZvHSiGpK9MonTCbFIXiJHoRCSrLErgb3BXDSFEgxnpvb/SDOp+3fL0Ng3k1z0jhPqIkDbdJ0l9Hf1DEUslR7AmOfScZPWGFhson5yJ4yL7hE1xCwYjSVaOCBZq2E90rLIazhMiEEdQSIEAQiRSq1iGE5XLJ/GvOBvUehLWi9MoAFpUyyUxXI8/zfr8PD407ooFXHR6RXSYVQTI8RJIaGflGTqmCUmBiRF5nZ2c8BaodQE+a4xrpK8CGNomsYiYld+6CRDPIjLo0dmHRNMrJRAPaSUWEGFlBRb0XJ1oBmjYZ6bJ4U4A0/TojoUmQjuk3+kI1N0Y6HPK3aEZUS6c5rhEf3xEtTRWm8sLqiqItRycA/5jNZjhLtCt3u91sNrt+/Tr7BH0ZNaO4T0Il0s2Ly5d3zbPGBL1yrfVCh1GkTlG7dOeArWmAaIxBKozztVrf3+yeta4/6n08ZJMHOzff1psQF7uwtmVlbNW2u7rqZlmZ1blpu1mRmdB1ZtAfFZnpmLowren6rJv3isKGXTYynbwTw7ZTFoUzRc4QDNft9qHOh9CpaxtjLEuXZVddjGzUGGNdT8ryU6vdc3X9ua59/6i8XQx6TZOvVitTLafdcrttu928aSIOACNAua6RnqvUbrRtO5vNJpNJ9E2W+TzbPnbwreLog0W+3+vF6dR53/3W3bMvz/v//Pn176yHTxTho4Pjf/v97gNHPWcNgx739/dxAFSUFRne7Xa0XmgeBvOA+oIyX3KRViFkAR9SAIM8jCv30syjdkyDY/4BLYCYXhkl+J6UUKN+yCa0dgolrYxQHg6HYL+YHQwp+5Y4W7u5mqZZrl86Pf8Cd802wwtSdNTgjC8FHeXI49L4qFLGdJQyziLIoAIMSBQlNq27RxNm85facM/Hy+XqjjHv/jt4ne/j9TZAozaZ6cOC5tIzp+07CouzS6zoleTSeO4eHpbr3lALbIVPlcKnxC/g0U4YBK0oIOMLS9F7DNLRonLYbMfJZKI1obZt0WUg+qO1LkpbAg7SOUfcTf8DqCN9u8CYKDZZ6dbg3AJD8b2cKHCzbrerzTd0ZGMNR6ORc05HbFPwZxGIxTSk4qR1RFiLb5nNZoA/NlG62Ww2pDJRuvL10FIbcCKYxK9CCNyyDgyz0gXMy0opKyVM2mQoQUgUh5Uao87PicTam3osIwEQbp6lVgQm9YV4jiAjxdWpv+lnamxOlBOFqajnmRVgC2lTFHE6OwTBRiaBYGswjpFMXpoAACAASURBVFp4u7y8fPDggbWW/k7n3Pn5OXVrZB6ttav16fHpn3U6VzinQmSDwSAmBNdGVEWMNPywT9BnJ4ihGYMPKTvdizpWy68V9v6dzXvv1bfXPvZs3c/NaFCOcnN7XEx6WcdUWfC9MnPuSlozxis4l7DEue5ut+v1RsQ6IWQ8i81mE5qd63YzUREKiYyfwiHOucViQaFL/URd1/3yAybc2zbfqGb3xoMPZlk5GAwgSxMEQ8hspOcYS8q/NaSOwhiAF82XhhCqatvYr3SLn3HO0UT/1I3po5PdP/Lb0aT/9fXoz16M/+ln7s/c6BOPdj9xo/uxI7/Xtv1+/+jo6OTkhHyI5L5pmsViMZlMOHHUMgh3jIRoehIzYReX0reueTyOE6XGPCHXVFU1GAyQWcfpKhMnykBg1WdRtIYIngBLHaR2dhKHseCtdFywq1EJGA6HNNE7qRGsNq/Ol88Qc2TJRDYuu0jUAPTwgsd6YXvqe5w0i+PdlY6g4QIwrHPOmNVyc2+zfcW54d7gydHwk+O9x763l/kBXj9qR5glzJdc+FHq58gCG2E/W5np6gRbY0MTO/Aw1H61otaaAlw+UXIxxhCm6a8yaWlnWxAuEWc1iT6vXnwjjHPdBOBXmpiqywQtVCkEMBC2sjYkQQXEHSqaB+MZCIsf8mZAM0g0tFVdXl6qjaag7RKhMkqSk8kEZSO+tBUhq+FwGKRhw1qbponYETDSKC2xVuZmkNBQjQghDAYDzeyNMSTKu0Q8sBX5mCCjlHIZP2vlZYTPViSSpFE0MjIRlFGA1H/PwRdWWMda4AkyW1WdR1rPiwnJ+3UvrYDq2xoZN2GMUa0DBU4xcGTtWOTVasUGmM1mBDfsk/39fe/9drs9PDxE5YTrwXyfnp6S3GiGvdst7t7/I2v9YrEuRD8Ff5bLPKCdyPYDJnNhTvhTdII6Ze3mnefP1/c3dmW2Hxx9Odi9rfnF24fD92Wx63yR0TmjZfhgrXVFzscqq4Ltx0UqlK2hKmfEJbIpcE92Mm1cwSEnsluEdCw7lreqqtwd+vhhb16Yr7/QL3+6LAe4NBaTyFX9q9IxwDOtFLqIPPg5jQES7LZV+7Ws/ij+kaS5aZrV/OIDo9FHPtz9rZ90L11svxHHn3lh87tP7/7JB91/+elJYeNkMkEzxVqLrLmOGSqKAqqBk9k4mlG1bav+3nuvQj+gF3meM/YW7mWQgg53BIuKqFE/zUszfpAamxdpBc0CM1FsVuY5iAVrrglcIVN51+s1XfYIwRtjkDI4v3jxcvHFGK9Km/pwyUrVbXN5hej1E6njC7lrLAYl59T/6eMzxlRVFU3dhpPd7lVjY7d4dND92Gh4qKnkD+h+3vr1o2aNUj5Vc1ZIZ566q1x4EyZRRLOisKX4tRNGXCkzUb1wqdmLubzUW/DgM2kUUzxaqyyj0Qg3kGWZii4qMIjQsAL3oO1gYryBXj2ePfeCJcL+7u3taVsul9dK57tJJGU5iplMSgI0CyGMRiOq2Z1OB9phTOSUkOFoROkfxCMXtWgrRdDDw0PqCgrAtm2rI8esCE5iTNV74dWUMkPGTJ6h/qOW0YzYR/18TikRTCFNhFYURLU2YB6ms+YibqCAgWKYVrqI3oh28goJizU8rP/C3+KlCMzNwwJpeiUh4fI4oUjEpD3UCkqsJc9cRLPIA8j4QcJJ04k2oF1gCLAFDLux1qKud3JygoUllhqNRrtq9erdP6jqhSKinAsUgrTjygi1lQq0Fm7Ze2z+ZR1fWplnZ+5rJ7uq8Y9N63f1/2qv99jh4L2H/WLazUoXO/K8apkXEUUPiO/imeaiv8WB0nA2ClO3FXlbkAbOPsfHJWN0tJpbiapDfHggpTHGWmfCNIRNG14IcRxDZowBVgFU5x+SqkaN85y0rHE7hAhkY7ofjGk32+N+/7G28eB4uBMYZEVRDPL4kevdX32q/+nr7f/7N8t/+ox/6nDwgZtDVgMHw9Fok4ldKKvFhD7WJnqqQRoktPBcJBNmrGj78X62fSuUGV1eZZ+ydFgbgM1Chlh1Zf6US0R6syybzWZQ7Var1cHBwf7+PoE77hke+3a7Xa1WQA5nZy+dX/5Flr8mi0rQA1VYK02afGMhWWr2pMjQXE2RI9QjeyEAEr6FbfzxavNc1fxNUfQHg/fu9X/Smr087yr34rFHf3Y02v8+Pc73+XobHKGW3LCehJkhaS/TvD4XMgueUi2gFWkGReQy6aBib2UJWVHTxCBsGgFGKoB+J0VEMhKNInmiTgbDFkVBNrnZbPA0XhpOi6JgyEOWdKljc40x2DU2yvn5uf5tlPHr1loQMCrwjQhnGGPYQLBMWQ1YNlAtqCfzzuFwOB6P044lzmcmY0jVr2CF9fqJwqqq0nIsEWsuNC2tvWM+gEHY+peXl0pL0zCtEKFFfUb69J0A2uo/MmEw8UMvwzk1p29Eg1EtgvrRN91gymdxwsdhNbh9lkLbJOLDHfcx4dDnCf9N42LdciQ3IVHmI31Rf0l5G4AaqAD9LSeFzPPzc02vYYeyCOv1em9vj5j92rVrZZm/cucPV+sH3Iu2qQFxKybB+ujz1d0VQuj0+q8s22+dh2dOw72607PtE6P4oUP3xGSVha8Mez/RyW8bQbOt9F964eVHYVy3oh1KPUm5f5oAKVCM/yBgwhYLxmXUDRQyUKKUmXOa2HHoujIuUWMOZ6cmmiZ8ezS4FcNr9LpKRl7z4TgnupWC0H25u51ojPHUgATquo6mXq0eOHMUpc6SZRn8RvYAWOWN6ejj+82NfPdPv9n7s7vtJ273OuHqK7gdQk/OsuINik8U0i5MDs0yslaVjGa00i2GuQNxwStHadziRi4vL1UgW30tHfd6d1YEZnPhJOMjETbCEI1Go2vXrhF5KIqgYzd6vd5oNDo5eenk4s/ywqnpBuevRbEoPtwZFaVslMloRiutkLmwabrdro5w0rQnz3fLzZfqZj4avPP2jV+05sA3Gc9LywpVVT166yOTydH36XG+z9fb0EeYCeUBFFSdhIJORnwhNlpRTU3mKK60CWsfk8RO0uyBj7KiPoX5w1LMZjNldgGjK+BQifCSE6EjxIfIeEg6ozSNaVwMTqVeJxchDMozIEhnZ2ea++MqjDEkYZVIyczn84uLC7IKK+JMpFm73e7i4uLk5IRzjk2sZQID+WgUIrWmpNw4RpYwTfF93oDv7Pf7nHYjzSrs3clkouuJa1St8EIafjn2QZR6nNQGfKIejtvQ/I94Nkum8rqk4yImuropm9QnPXzxzRpJNY3TR695If0twFC6N0LSmaouMEuKymwSIxNkjBTetI6VieqCFzqfYoCDwUCtHtEMaxVCoMX76OgoiPg1JV7tc8jz/ODgoCyL5779z+eLV7gLTKeVShtyRbXIQdQymQS7ye2ftuWXLsvVLt7omw/d6Lx/EvfzdtzNm/bOtv7mdPyxfvemlYZUnLcGGYVoCQXplVQwgCDVC3k4iBSUwg8YUzakBna5aGDiwxSYIdzJhEyYSfVE60xRRk90u4dFPlxsnxn0j6zpqQHR+E8RbGqHXkQtouhyROE5a7wrQfY2mt1o8Cg64K1o7eIwGLZnjOl2u4d284+fcmdx9FtfMFnm3j+snIlsLUgAmPg6GWjMwkaZ3WaT3jA9IBq+KDmc5AyymxMWlQJpZVmOx2Oov7o+VognsAF0TBtbjiVFE6AR6Ymjo6NMujgwX4Qg2J9Op3N2/uqr9/8wy15r821EH5HnyD4xUp8upCEkl/FwXZkQx9uUma9Ir7W2berKP7/aPTfqv2d/8jOj4fUg/bs4dQJuTuLjj33sh95H+KN2hGqIvejOeWGvcBSVRpEWljCXmilaoSQZkXnk0zTuUOAliux1JkUpAvC2bWnLIw4lpdOTUwgJ3nuPy2QmJ6ea5jCNza1gmwAFe3t7pPwcNqp6oARFUYzH48lkonmYHsXRaMR5JhTFcFMtCNKVdXp6ilNkeA2NGdimqqpodN1ut6enp1bGK5KLaA2vbVtmaWqSROjX7XaRcmavL5dLUDu2OyFCI1oYRpCQKDzVPBERZYXbhBcXEsqSYrB5niturGiYelwN5PVvNS/RjCE83CrKy7+FVGkj7diF6PVo6mOlkk8CZBPKVSPdESbBozRVYimUU+elc2symeCcMD0dmUXHJlQAn8jj8vJyu92yJRqRCqOzKsuyv3nhM8v1SxgX6s1k50ApiLk75/r9/mq12sqoZB7orMmevoiXof+h/fC+SZyUcdC5kkfZNc/X7Z3p6OO5GytC2IqIvJEgg9BB8+BMGBAaAViB7q0QCDm2SqaPidq4E54w506DNp67YjCFyBt56VL30nfPwbemn7vxavuVsjPqdw84Kay2ky69VlTKNLpS+6CK2DuZMFWK0LkPyxCbg/0n1+v1/v4+S2Glva/X6+kUxmq7/vi1+E9+YvD/HHd/92vh0bJ6tB/ACfQzgabZwP1+nxOkYC/kKd3MmYwlMhL5sWJ6ZAgaIBkAG+ipDAm2n2UZWrL8FiOpICppsdahu93u0dERvJvz83PFaYDlsR51s3r13h8YUyszAEBIDxFnE4UsVpiXE5kYvR0SaxxkURSz2YypFFVVNe3ZrvlaXpQ3Dz5VFAfaW2ISqSnFEqqqeuzRn/2xzwiV/W+M4TkRBaeZX5n00XvvlTJAIMO/nXStpuUuK/Ob+PNcyJzaqWOFJKlcu51I9DqRPlGDa4xR1Vfg/s1mM5/PUT2oRSJnJ7PsgSuttbPZDOtQy2AUhRN7vd5yuQTqxJHgLCkpOSFzQgEgk2uaBgYKiRc/TNOs+Xyuzf42eQFbaWStBoW8kCsnkxsMBlpB4ap2ux1K0LrXqWYZcS1WWHCDwQDjotAofoJAFbOYCzUpkxKREzWWTNhxQaRYFNnWzI9H1oiaVMqKMlLSU4BF/0r9K6G0iuQpWSAmY+HcG8qEXlhUamgIwlzSZaidyDzcKHVZvpemFIWSCAEpX1GQJmbH0+DJeGrs8LPzr663f8NDNEnnchRpb0VBoGkgO7Lb7eqs87VF+fxl+76D7ice7Rb+apqKtbZuqrr9RuvnB+NP9HvTIMOhogwtMsI2Yt3gDCs3zUnPD55GBWmNUJMy4bhlMjNEE8FaVFi51ChihETDRsaUZ9I/nieDiqyIq1011YXSmv1N9axzWebGVkZaakqq6U4jQvk8x+FwCMRCEcGK2ngUds92e2pMHA5usV2p2hKLp86M25l0s199PHvPfv5ffHH953fbD0/j4airpZkQAuP6gmgmR6FxWgEqvGhnc4MayuOwFcXh07RLtZX5JBTp2T91Mu4Ycg25L7/STwPAvHPnjvf++vXr3CDmhZCilUaOzWbjnL9/8sfb7aXutygERuWsOucgYQHsKQCOecySgXQ8X/zxfD4fDAbD4bCuN4vNs61/Zbr3oX733U17pb7ZSEOFk+oJmz/P836///g7fm7vx71GCMirS2mMIYZVUC4mg7/ZLhT/g8ihZUKyqBPBTI2AjHSnBenl0vAkiryLFUZGFIJGRxR1gxBHOT8Anlpj3263+/v72DIjOSsB13K5JGwBfycVwKuBX6FdhIYO6ReQLIgrfbUgGECdu92OCBQLywnZbDanp6cEE2CqRVFohwMRBuxnnBbXwIfwgZAXYoyTyUQPuaIrvN9Lh6zufmMM6WMj/bNcjObf+NQ0AwiiDEdwAJxo5PBY0Y7ROooGy16YUzxrdaWazKlHVx+miTU2JUo1hbIHJjsmnby4K6KN12WQ7JNW+nOcyOUYoYxi/auqIpphuYirjDE8a+fcxcWFk8mrWl0bjUaXl5csZr/fv7i4yKRY3kjfJ6ejau7OFl9tRZQ5ExZoLsrjvJ+sWiG4Ktjn5tnXl8XtTvNT4+aRydUgTOFCrza7Z6Jxw97PFPlrXbyFDJrWwIJ/sGgcCqhSuQzsVJ1SglStRmPoNQVXhLaWcRZ6L7n0/FmZ+utF849PCInGnpVCrH9NuiUzYX/XfjPGqiyONOKJAujp7rIiJsB7wF3SEBwQlb91zq03x91uf726AjzQB2YvkevjjDMh0L5jEP/xe3v3mvI/+0phffXBScAN6JYGQ+Ly1JoXIhMBVEAMpNs7RacJUjV0qxNZ136/PxqNrLV4/Y4I2QMkGmOgbtXSXsUjuLy8nM1m+/v7LHuMcT6fB9FEZCdsNhvrwvHpv1qtTqIAPzZhZvikjTjK1JooM2WjYBj6Bi+z3vI8x9p3Op3l+pX56kvO9fcGP5tne/xQDU4rmgC5zMJTlPvxxz72r4MjJMZkroJiLBwhFrcRhfIoCkNRBm1rQKqHBPuryJuGLc45YCutOe1kqAqxHtvFSSsFm4BTYYxh+4LkZFmGnidbZ7PZQLgiYtWwl8qQF9oVW5MjfXBwQES5t7dnxHmzXShC4E6UKJiJBvfBwQHPHs2aoiiOjo6MMYvFYjAYMDnaJ0OJtcuC6BJHjjU0SZMAaSsEdJT9yNFxn6V0yIL2NNKzbyRq4RFoRRb43gtvW5MVChL4+Ch0Bq3z2YfpKuodo2g2pvfFA8V8OGHks7aKlDop76V/boxhp8WEmqSwW/6GJnqNt4yUGDPplK9EqJoNgMHNZR4eG4NABFARCK4SJbNCxgTC9jw9PTXCmQQw4N6Xy6XLVuezL7Rtk25mloUYOeVH8OCqpn3V733pNBx28p+/boZxOxwOIAeNRqM8z71fXa4+n7lJv/zJGK4UfaNMbIgyDpfTh2PTmgKfQHqhpdBMRBsU0OZ8caz0LOOk+Tm4Fo8+SmcqWQi3ia3UJJ5yg2bwRlgYw+Ewz3Pnik5xa1e/2LQXg94tMBU1GtwRHGm1AE7kPcFX1DuqzgBbYrW+2+uNYhiwJmCbAP4a2Tjp/e92u6NB7yNT/29er/7rrzTHl+sPjhuCP95PmM59afqraahJuPFp7MWf6+LoHRmZ516KIJfm9Ly0iMv/cqgVsCGAG41GN2/e5LfgQ+DV0HpjjCG09x78q+3uTEMHznWUOVCaxmgurplfIa9cJgQUMr1O90m/n1/Mn67a+53s/b3O42V5ZSfrumagI9QH5xz/8DLbh0W7fesj0+kPbUQurx+1IySqVZqZGkRgDU195vM5Rx2b4h7WGu3IjFmC0BQlszJNHp6IkXkfbHdC7729Pa2H08an+T52AUtXCBcURjUBHdAKeHeUmjamCqeCmcN2mKTjNU9EJYxAxBxLNhAdTgD02FnvPZ34bEetpIYQKBUoTXE4HDK+gMhLC4daq4Deub+/j3nSJj9jzHw+r6RvkpyP2r61Fg14J/xsI1WB9XrNX+Fj+BwWH9zYSUcj8SzH0gv11ydKhrQTxDd0RCgQx5v1V04KJ2oI+Hw1yuTxWkjWSk8u1DVjTC16UfHhJkL1glYKh0ZafQA28YKEF8BuZVlqrAqa7aV3ik/e29ubz+fsHMLqKC1cuagj5cKYPz8/z4tqsfpiiFjOq6obByeImkye56CgFIC/c7r+8mWRmeznrpmnDjvBN04avPgWHy4vFp939rF+5134G52aCVsqJLXYrky0IJrZ29ujb4eFDckUpEyGl/FmOnz0c4x0NdQi8JQJ3akU6Woj3RdG8lFNOotkGkxHBgxp7bBzNQfNdstbu+bV7e6ujfvOXRVu9aOUmqfbIAoIxLdgbUEXCC/w0JvtvV53nGV7nC9NntgD6/X65OQEvEdBi2Eef+Xxzu9+3dxd7j40ek2Pjdio0+nwIcRSitN40b1r2xYfYESeAuPA6hmhomC1vPQhKDk5CmFQbSnupJLxkBxh3PkTTzzRJo2GZJYXFxeQ5qyN3331XzbtBREMvpYDkglxLIokBbsUYx6lmU13CHJu2l3K7Rh3PN880y1vdIsP5NlVUqvQV1o0jaJnm8tMYNbhnY9/fPrjXiNEY7rb7S4WiyxhwCs8TVkuCmWUldV0ROtDitVkCQsDV9RIJ7geUY5QXdfr9RoaJLF5LSoMCrvxHu0cXywWu92OSxoMBooNHh4eKj7ARmdPEE3n0seNo+10OrTA4+HYu4ofpgQHwCLuglvgxUGCf9WKTAxutZUpJ5yNa9euaTyu1IYoDemQS0lDiUKob1VVdXZ2BtbK8UP6vW1bUk+9VA39CPx5RvyQEEe1idWp8DKCnGTCeOK45lIXVIdnpTvCShuf1n5S2FO54IrqYCZa4eITjCvyGRICjhJHrTCt1AKqv4wyS5Ycjt+ySznPOmQVl8+DJl04OzsjCCDbYzuxo7gAIxLYWjjB1hRlWKy/uN0ugzBsFRRthS/A8l41pHa6f3lvd7xqPnar9+TIj3qdqqqo2bAUg8Ggbo+X2692iw/sDR/DzwEk6AgwMtpCqLDpCqimM0cGO9UkQw+MMZoFcnw4aIrBOBEl0Ya/1xVfNTFy0lxYyrQ1amA8qVI0ePHTWgZzLhuP3rlrjqvqu73eo9a+JrPHE6R2lYkiMZfNv+mWI2+DF8qN8/P19m6nnHQ600YaYKKoCcIcqeuaJg22YpZlzle/8lj+333DfOey/qXb5XQ6NcZQjMDIcPFsZh0AAnDV6XSIOaL0e4SkSMZBIMTXpq+YkH3YiiBeZFExYYmzDnVdr1YrWgaJkqN0qZ2dne12u/F4vN1uXrn7R5vt/Vy4inpUNWNm9QrRiInCdWiF3cpZo7JjpJ2sLMsY/Gr71TZcHow/3uvebupGUSIjTDRiIBBg+CKF9GlocvzEYx+bjA9/YJ/1pq+3ARqN0p/L7eGxsuw17aimaUBF0sRfM+5GhMfUlrUy+5Q3kLJgsCiYsSGQ/cyFnYWN05yMWEl58N571FUI3rEdbBqyMUWQMD2t9KFPp1Mn4m2EwwDofC85kG4d8rbtdjudTrm15XJJxqkFBjI5GtHwYbvdjoZ6UhAsCJ/GfzFMJEZEgtevX+cfxNTMXdJQ/fr162potGiBt6N0imngWIKSdUVWn6TBiRYiEag6EuCgViqFPHq8OKY8l0HeGlho8qfP18nAEDUimVBsctFzUV9YiDwNHxIFWtSMxEvbL4F2Idof4eEZFLzatoUqYh6e98ZOU5ffCkl9u93OZrMQwrVr1zCg8/lcb8EYw1YZjUZoV2rJZzqdbreL2fIvt7tZnvQksDjce1qYWa1Wg73J5x6Y2DSffmK018mw0ciHYln6/X7jT7bVN/rFh0MYeCHUWGsXi0VRFLgoHAC3w7ZRtF/jEvp5SunVSyMJJzJ7HAE1nYUo4ESp26kf1XiLb/eJhruiET6ZMq3RBs5YAUMj2PJ0/OSuPt/VL5XFI03d6ENPy7r6WJ3I90dhnuMtoH1prt+2bdU8yLKxs32NG3A26/X68PAwilawZlfGmOmo9x/95PR/fHHw5bvLX360zCV2twJ+cgBns5mqqgaB953g9lVV6VhTZcxpJETLBHfH7W82G6jsgMNavwS6wNrQmkVUjSvFnWOU2ra9ceOGtfHO/T9ZrV9VTFLvy8uospiMNuPxoYirPgyTpWO/rBAYW7+brb6Yufz64S/2untAQR3Rds5koJiR3NeIbGQuepOFiGzcuvnhg4MbP4i7euvX2+AIrdR7YowgfuqQFosFFMoovM2iKHoy6ppd2xHhFXYMdWabKK5VIkRrrWVKA99LY0MjvFPz8BhMK0117D/cpzHm8PAQ/Q7CSbyaAv2VjBj1wmYER1UzqnB5kHHhPMsYI+JntDBiws7Pz7kSIMdut0v3BSi/tfb09FT9t/e+1+sBa3gZLx4EvgeO42CAazH1OwpNAEyYvT4YDEgNNUahPsqy45ujaGTgaDNp9uLUkQAZGfvCg2hkMJCiu1ZmsxGv8HNuOZf+Kp6XT0bWeekfclIvVDdWSd8uf6UdS/oeK4O/jfTaY/1LGcveSgM+16POLwgJtpS5Uerg1YAqMs9ln52dXV5ekiy2bbterwEAcPxsOYQ8FJaPMotgsZg9OPtsiCuuUPGoXFh/WZbRU3GVlNvyzx64ftx89Hpe5JlJMJW9vb2rQCFebKpnB+VPxzhQ2KooCvpnOES5zLvhdrT52icdmVpd0xBNk2zsYyYvRVb4BMUksOacF857kIkZadLPGee/FALxwVbUFRQq1FC4kDGw/d6tzfa4bu7uDR/PsquGYGOMWnOcB37Xy2BFLLtzDhDPyTDC7ErHqmna4/Heo8PBVRYFB4p6JIBkR7T+9/b20LN2ofnVx8z//DfmMy/O/913DrabKxVG9d8hhPV6fXl5yfllcZz0CTjnxuMxGWpH9HKxPMTxbGAVtdHjRtaV5zmUQK3YTafT5XJ5fn7O0AxuDeMDM5z3dDrFc9/+5+vNHewYzjII3IqtzmTyj5M2ZagPUQrwbaJ0Q/80kXGI29ny80U+PZh8tCg6O5lS6UUhvSPDeThTlGlIBpSNFYRn+9STvzD+cc8IlV4IypeJ2mctM+gJMYhHjDEQ0NMquhEWGXuXcpfCp8rLMsZg/TMheqhDwiQtFgsNeNXugOw1olaj4uuquKa0QOecqqqzObDCNE7wc2p+oP+LxUJrNjzj8/NzGPYKjgHR4PxaKbwxPgmLwKnr9/vXr183wurEMCE9is+G6cemZ6Pr3p3NZiSpUFidc1T7gjAXQgj4RYA7bJlWGkBm+FiWXft/jTHOORBCI00UHONWesUICzjGuUi3tG1LKTSKWnoUXoBNijom6VtqRW7KJkw26hlWRN2iVE3U47IDvZBocuGGECbrl8akhZGdyY7CftlEzxbAwHvPZAm6u9TlE1QxlACjSYunc45miTzPAeq3282D089l+YpVJSvKhKTDx/JiC52ud5+/7D4xMu8ZNq10MUehHfEsGn+2qZ/t5h90duyc4xwREjlhZkYh42WiVA7Nil1aiBIKC1jLxCiCALaT4n4hUQ4LQp+pRPOFw5vJKD4CTc41Ns5KgwTbzAi7WMMjK2raVsBA0JQg4j5FL2vIrQAAIABJREFUUZT5tV11r2oe9LqPhPCapEubDOXQe+fxGcHMWWoKWpkMztztdtaa+eLF6eTxshhE0eOF+EOIU1UVVS5G23NCO7n7R08U/+t36j98cfkrT4182ygOSZ0VmoIm35lQDYBbgKOM5LuYOJ6+btQgxVouFRyerQV+wJna399HBxWtY5qghsMh0EUuoyXrZveNb/5f292xld7QNhl2qICcFbI3fkv3CRFSLn2N3vvRaES4YK0NcTFff6HffXLUf18h/aBEe0ZG8mKNSQnYeEBoxH9O6AKkMU88/vEfe9aoYlBsI7ignEmyQ3r1yAvZcEbyA83iCcoUclRcBSuvti+TuSRaxqM2BjdJg0o96p1OZyuvsiyvXbumoehVe2ldK3itERBtCSCW3A6aoorvB5F1oJrCR63Xay26YDvAOemwxtdyO71er9vtXM5OqupytzvZ7o6r5t6D02fX27vL1XHdzNfrmQ9+MBg1TQtRO8icT0V91bITiGm0tZVZhhwJ4LJatGb4hyZ/3MJoNAIC9aIoz5HAFvO/ZdIRhX/S7mxNI/Srs2SsLlfiZL6jJo6agrRSTotCLjWJ0LYRAFOxUHWuXKFadm4hCNe0SRqTcfy8fz6fAxS3bUvzUy6TUti9LBfJN14NpAgskWgP60MwtL+/T3IQk/kYm903quZeLnLVmipFaeonzGJHvXq+euay81M3uo8WV82pGF8Vm23bdledVv7rw+6Hgh864Ua5hFPdyrSBEAJsZ86RE9J/jJHriYlaJjEc66zOKRORPEUI1a1qudElAjFsANLWUtik2NNWhPVTwDaTphdjDEV0PgTLHmQYmfc+hFgWN3f1q97PyuI6V6LUfysCnkYmNpfS+klm/Lq0LBOyXoxhvb1T5Nc6nSEyCOS4IFIAqulp4jgPep1feaL8v1/y/+L57ScOqhh8LXR3jiEVFsVFjcjearaHAQQVTIMJPDpopw752iXTTvBAVVVdu3YtxqiR7nQ6BUZyInwq0sSLu/f/aLm6B1rA9bOZvcgt8VJURvVuUOSALw3QymMCx/be+3i62n510PlAt7yt5lRXiQtQ2F9Nt5GKIM9LbRp//v+H1ujbMI+QM1OJZj9NLZBCgZUa6T9jdYJMPE/rSbqgeMoo+kPL5VKjFWNMlmWAAEEIHVhhDXixNWh5ANz3ej0gCJQh8YJbGbWcCQlNv71t28ViwQeWZalCkSEEJjTpM2bIwNHREeFnv983xhBMkUUBwLbtbru758PCusZlfras6maDFqCaDCddH3rjZVkWede5XozleHytzIfOHQwHR61IQ3FoU/86nU7Bu4g/tCeM9MXIuCLNAIwxGH0NFTmZPDJSVeccfcRKsQEkqet6Pp/PZjOWbjKZ4B0VXGIdiJFfZxqilN+NSC3zvwQfDMfQ4FEB1SxRhNEdYkR9VHlPadLJF7GF8jwnXx+Px4D2lEJBKUMIlGmBduu6Pjw8zAQB1hnLUSg2AObj8Xh/f//8/NxI30iWZT6+vFy/4IT7EGPciUIefgh2O2fnu7Pqr8/jzz85vFG2s1lNOJhlGWgYIFtVnzXh66P+zzR1rygKOvfbtp1MJkb0kgAzsDvkpth3I4rtfBR3oRwTFkfzzlzorDyaXEiYeZ5z6IwoTigUyRlJTQH4pBMcHiC0lIacmHSSaVhW1zWoCRwTRTK45m7+k7v2K6b+Tr/zHrypMnQw3yQ3ajcIFJTHq2FKCAHdDPbkq/f+8F1P/Pv97hSqQRTGOFudDUC8kmXZarVCYfi//7j7Tz5b/9YXzf/wSX99fwKTE9sCp4kxGnyCkfS0lElwhBTkvmRXWEgl0vN06rpmxxbS/ey9v3nzZrfbPT4+pmjNRIFCiJdGevzv33951371cnY3yzKFvnmb5nytSE5ywUGmTJDekbdonK15f13XPt7ZVC/u9X82z8aZzNhpZDoQW44YjmTXCUVA10GDNi2lNTIJ7of7+lFnhPR6c3Lm83nTNIx6J9MyxvR6Pd2XXsZwt9J1wLNXcMyJziyRey6jtDl1lQw4pfJsjKF4g0SLjoMADFytVsxN1QwA8ISgmxb4WoRGgctTMH06nY5GI8B9wjSOqBo1vH4p0mjqydhPnU5nNntw7/jZze472/o54y7yYhfNxvttjFdVjTRwVmBQlXGyLAuhbdpN2y7n87sXly+tNy9czJ43prGm07aviYrlMpGDjctMshgjCxilu9En1BU2epBqH+uAvUCcwkhOwO0wAk2BUMW0U4ECnhSRLClLLqR5DUVTa5imhkY4ZghKcSWtzK3MkuEyfIKVl5eeRa1RaWlZ02jsdSP9JIRKPFDmSGSikpVl2WazqaSrHaxekR8iZf6Xwtjt27fZqEB5g8Ggql9+cPo055zFB9ZmHYBeNS341kX7rVn49JPTGz17cXHBtsmF/GUgZNXntX+23/mptulba6fTKZkip4xDofmf9sbxW12rXLRg2N5GiEtOyMlGov4o1dMiIZ1yZrU7JRf+YSEiL5pEgquDEygNuJFx6tnDIiwa35Bu4ioAbLk1YWp02mqvNS+1zbbXvV5Ly6NCmgpKKcaotYkg8v1tIt0ONN3vdxar7+6NbmdZD3QxzWLzPL+4uMhFf9XJYO294eDfekf+2RPzf3xn+8uPuGuH+xQF4e8gmYYwEGEx12AEwMdtKKpBmsjKGNHiMULdQqgIami/3z84OEC4mPxVa2xedJ7Lsqyb1WL9hfX6zIvWIB/YkWGZCiCr7qMuXRSZKj37hOOAOtvtZrP7Rt0+GPY+ak2fJdUgg91OmrtarRaLhfJCrIyOykWezSckDP576+aH93/c+whJ86NQhAkx8PCldBcVokzPWWUrWKHeBVEMoVnbS281WrfGGIIRasvEFCBamcwEMEJSms1ml5eXPGz6BHiieaKGSq5GHYufA7UbYxQoG4/HnLFut3t+fg4+ZowpRKAvExV2kCsMK8alqmezxbePT754fPqlLF+UnaAbNxcBFDXZKvzIn4dEpDGIMKP2YOR53um4XXVyOf/mfPFd75vgi15vWMgYDf4WR47Fr6UPl4BA+wt17+LqALFzEf0C39DckStH+5RF4PkWIl3RlVmgmGPKRZnU1a2w+zScd1IANlIe5vgRulrRqLTWQjzWupFS19IsU1PJUmZhK7rO7dAMxxvInwiGcBvE7xisVjT7Dw4Oouhh8qzxgrvdbjKZUA3i+lFlI3HcbF8+Pv08Mb6RudAqIxljxEQOBgPr3Ffub15em3/jicF+L4f01EvU6nn0xq63zVe6+U9kbr8sy/39/aZp6IgNQgIqpLsZF6s1P2MMDR5apVObmMLOpSj/8YwUOFVYIsognlaaIFN0VP8XaNokPVG8gQPLTvDJEEojox/5t7pwKyRz0twrC9vp5u5a1X47Rtsp953QRzVQ1g1JNqmQLw4J+x4Fl6Ym0ul02rba7l7Zn97udqdwHXBOFDJwRVaK2XyIc85Z86mj9gvH9vef9//BU4O9QVepQLqNeSfFCJtMXzGiOMjjzvMcYQ12dSljibbb7fn5OcErYRYI0L1794w0kHiR9uaCy7KMZnf/wR+3fqXQMac7BZO1aIUN1NTCCTFexzBVMgmy3+/X9Xa2etqYZtj7qDVXitBkBXme41NxxuRFhAV8DoBqliguadzPXi2K4rF3/NyPveg25rWSXuwsGTWQonBYgSzLut2uhuHW2uVyWclICo5oXdcUWikO47o6nc50OsWx8Y21TAxR+WxWmW4Hmtmt8O/hl6pcGQ0S/JaAjoRmvV6fnZ31+/3pdKpJAGn++fk5hUMCZ2BJmhastVnmZvPvXs6eO7340nzxXFWf7naLQgRU8X+KIQCmW6GSNomeOC8NwzFhwLyqly/vrOrmZFe/tN6chBC8L+q6weYaYc/iFClncpZYB8wxa+6kVYNQA59RSccnRADth1Hrr+iWRp2l0NZ5sqqKnkkHZCGydjYpRAURWCAOyJKpllFkS3FsrdBzjFQNvUwQNcYA57pE4AavacSJcs1cnhMBWBWO2W63jKFhrQDKjDHcPq07AFmUuhFhoHeWHZLnucvmr977k6a5kgk0QjViccCK67oejUa9wfBPnr+ct+6XHik67kq6qCejQpTn1e365e7pbvH+zB1S4vXeA+9zKADTglBjOjJrs5CpdTEZL86zzoSxojmcFc5zWm5kHwYZyGekqO+co+CtiaYT3qYRRWa9fitzeo3wmDQN0vxSkUx+y17isFBDVXi2rtpe5+am/rozZVlOqLz4ZNSlESZkFB3HRvqycqmsa/zExiuKYrvdtP5Bt7s36F/LhCKkqxqlJ1LHTHrvJ5NJt9P55PXw5TPzv73gf+VRU1VXg/qs8JaN8Iz0EzAamh0qjTnLstFoFB7W4QzCi+bEga+gxah83a6I70s8Ud05/kzTrisZUq0sIQVXeH9HlHHYt3pVJPR5no9Go0ZUQJ1zdbM+m/25id1R/8NZVrBROWh5nqPkwEOvpYNAG6M5NcBvxcMD9XgWrMbtR37mx541ihVjX2qqUcociSAzrzPh6Sp2HEKg0wCXw+bTg6EcPDaKWjHi+m63q3U19gFII5Z0sViERO4dvpMxhmSF+Eg/qiON5LzSqnVd1/fv3ye/yaUCH4TctVqt5vP5+fnJxey545M/ny+/s9meGOOdcMFz0UrVsoomghhHrtxIG3iUIhMH0opEnLoiokX+3EqXet0sNts72+rFqprl+V7TxELUR7U4H4T150QtRQNVbocDoKQYk3BlWyG7GkFuBbYNGsvXokao6JkCYiEEfsjJUWw5l5p5TKTaFNg0xmjWiDnLRSON1VBjjQ1VONQY473H5ViRB9Ks1woa35NBPyQB7E8CLI4rmwF9O/y3Opj79++zFckXyR56/ebB2WfbtlEyCCm4kTQFMzoajTq9wb98cZU598lbhfENv8qFW+hfG162Xu6e7uTvy+yh+jAypEzGoupDaRJNnFJaUdmH+EvWqkmUDo2kZZSRODitqJzgO/UrMhFbUbRGOxMU6OMb051mpCTsRX2mI4M79KEQhLGroyhYKparKZqkqp0iO9zWz1rT75RjIwQfoqhGOvNyafBlX5FAYwEUnaKkonXlunkQQuh2rmmJTtHCRsaD0B3fNA2Dr8si/+SR/99faO/WnV+6XWC1VGWmKArYVcPhkFoDNsoYA7NP437ieCM6ogSpCpbi1MfjcdM05+fnvV7v4ODAC0PCSpNSXuzu3P9M2241XglJe6gCDKyJ7pksITFZqUGoLvkVsdHuLuafNfFav/Mews0g8xqpBejxz2U0glowjFin0yH3LUSONRNdFHZUURRPPP7x4WDyA/mrt3y9De0TumpsIDYTO4OiyFXNv6pOT0+dc0TcMUbmbxH6aZKnsCq0JSv9zkGG8WZSMUrBNy11YBQAJWKM7DM+B8MEzcFae3BwQJqFEtLx8XHTNEdHR8RuqMa0bTudTgm+xuMxiTxerdM1l7OvL9fPbHZ3Q2jUhexEjouoqkxmPWPpnLyUJBJCAF7QVElpIHq/6oYb6bXXyof3PsZQN7PN7qUQtk3dGQxGlejCsNfZwaxzfHjuKMiek3IRsSTcuSCCUlaIHngFQDkjIgbk7prpxqRvAXuXS9tl/rCYE9CWkz5r93CfEztKl8JKa6kVyQXSWbULCmwqgY0UuSOzFTMp729kajmpHiugjSJ812q1orwNVMWAchpUNAvBuBRldT77i+12nQvdicyslebxtm05Bc65z91tCtN+/GYew5Xjb2QsMEvqvfdhsWu/2i3fl9lDJ0PhdyJkT3yjnJRG2i0gTMHeDEnPqybQiry1Sae8vodz1Ol0YBGrs+eydYUzab1lEQjLClGMstIUocQl9kMlHb2KT9bSrRiENqVVJSc8IwWxOTXee2dLZ8e75tkYBmU5aqRTm3ky+lEcNK7TyLThUhqE0g/v9/sU+Kv6dFfNB/3bRnqcclFRIfhj7+E84JoG337yevzP/8q/e5o/ufeaXq665yuCiXRz0aLHBu50Ogwwwc6A7TtRBiACns/ndV1PJpO2bS8uLnq9HsysqqpoWLwCP+L8wdmf1vWG269lbIX6VywGt9AkrWikgCwUIS9vUA5U61cXi7+w8R3d4h0EWFQBM+FVacmcY2JFxs9ILtvv99nbLiGLaQ5jRMD92uEHfuxrhBT2rLU6CAk4KAr7sRHtacx3FIa9pu1RBhthnbVenVof4m4MLo+QMkyUXitNO1jiVoax0QIxGo2MVKohGpDRtyJhU1XVaDRCjZ5+cy4DFw4iamRY3XZ3stk9d3zy+c32QdteJUNWZGUU9tHmM2B3ddgal6UIkpdXTLrlrLTzq51StJB0tpXWMQy0923dXC5XLzjrhoPr2+1ViwimB92HnSje8nWYbM1sgDQHgwEcOQq3nMxctOv0mBF9D4dDjgFACq9cVEOD9OoZYxQ1ojOykGk1qkBkErnFRgbZ92SmgcLsysHDSRBvGmEteu/5CYMnWVuWSNNonjhMRSyyBhzUidlaROLU3qwUxvSrLy4u1ut1jOvV9um62bYJ4ynPc1VxI2gghvjW3F7U8VO3Smsi5SstvOGGrbUuq3ftV/rd92f2mjEGxELlp3FvIekSuaoPSZCeSS1cDxfxYgr0RWmKIDnmnfqIre10ykdvXP/gwf67blx/33Tyzv3JU6PB484clsXN6eRd/d5jR4fvHw0PjW1jvJovYaUsYmWSditj8woREAlJYdhpZUsUMhU00lZjhdEUwC/Lsm1ckU+2zV/bOHGuE4RCRdAZpHuBNc+FzpYLNzsTGTlAV4X0e71e286Xq/ud8maW5f1+H/IkFDwlTLHysMr7/X6zXvz0Qfitz9X/8Ho7zF6L1AFCNEsG28R68F3GGOYWRSnk4zA4RzHGs7MzHNtoNDo7O0NZm6AN2jOn0rrLl175A++vZEs12mtEltIkeTAnFwCMYEjfoPFxKxSetl3OV58vsifK7BbxEFx0HiLhfiMjVrhyJyIAfIie2RTl0mWJwlnL8/ydT/z8cDj9gX3Wm77eBq1RWlWICxSSglzAlEgn7VywOuHccxKwg3gydQNYw8lkwmIVMiSFdSyl2xSkSItPQUT3CZa7MkNgMpnQ/M6zByn1Mna1kYYzDC799ZhIbYEQb137eHFy9vmL2V8vFg+aptZTmom+CdYkJEpvRnizrTROFSJQiZlW8RQjKVoULWAv6jZsfQ2pFJzUaEA/zVpb1bvN9v588bzLis3a0IlMP2+Q7kYND73IdOmXss7T6VRxQu5LDy3voVpmRFvHi6yzEQAzlyF/Xjq+rejEGmNUzRkn3RERUayhk+buQvTVWtH1T+MnK+AtHxVEhJYkTIde8SFcLeuPBQREZcHJ2FT5SQFDasn6WBW9vGpXcM2m+qu6WWuwwnrijViEWhocT5rOd5bZp25aF72yqyAEKvMzxGpTPd0p39XJb9lkThZnjdSkTLrI1X+YRPEgjcG9zEIiytEnxR2pFEiWZWXZPzp872jw/jJ793TyxI3rT147esKaYZFPmrpom2I0vDYcXuv3Dh555MlB/8DEvb3hU73uO5ztbber7W7OAcS2Ku+JCyuktYmLN9IuTLrvE95HLkODdS/FhNzBX8XYKfLhtn62zK41jdGIyifdWRoiKwRqpHvBSpWa/cw8I/LCEDbb3b3oJ0VxFSIYYyjEVDJsjtoKW2h/f/8gazr9/n/zXPkfviOMBr2eDMtlzEAm6mjE9FgqIyOxQODTwJS4fLvdLhaLs7Oz0Wj04MGD+XyOGDLxuiyLP7t85uVXP2vtFV+MqIJvtyL5FB9uJSqE6eac05In5giVfyxh0y7nq893i3fl7hHnHAoD2hTBdo3S0aQWT7NtDrLiqK3Qv6M0FHkZfsl5eeTGT//QHeGPuo+QzZFl2WKxgG4OLk+by2w2Q1YGdgmNXApZhEQj34gbgHc0nU6jtG/rtEn4LLAboJbFGNG10oxK4XUCsVzkjNko+/v75G0UAiFY8lSUQ0WoOJ/PSxF63lWb88tvrzfPV/WSK8eygBJgf9UTeJkw0orulzqGTITKbEJJ0M3BZ+KogOPIs/mtYiZ4dDa0jtAcDAbffrB49WzbxMxlRWtaYy6bO5+t7NF57+c29sZqlWdu+e89OfiHt/1ApnOwnkBqmVDS+/0+Vl4hsqIoOAM6eH1/f5+kmayCAthisTg8PCTu68q8wFrGBRgpTRHv85OdjG7n3o0x6j+cjJ7APpaiiqnZBnFuJToAbIOeTEqaz+d5ntOSGGSGVJBpD7hYkAbs2v7+PokXBx4t44uLiyZRROSaq6oiIShLs5x9McSNlZYsNtJgMIBfE6TVNYTQdsdfvR9/8RFX2pqta62tqqorY0P6/X7TVJv6mSK7PR6+CwgL5F8te5ZoCFDRLGW+igJ3TsYJZTLm0wqSXAgJliDAGLNcLo3Jp+N3TSfvMnHsXFbXddNsuDYqbYQIhJ7g5Po0V6tVUXTHo/dM9t57OTs+Pf2Wj6e93muUYH2IwBjsBzIeksWOCHEVRQFIoHeqtluoQ12eu7BFrnfzdtt8xdkPbreG5+5kykEmjaG5lKZcInMapPcDXHQjY6hx23Uzm6/+MoSPjsc3qC/O5/PxeEwyh1IPZPL79+/DyPt3+udftKP/6kvlf/uJKwiHBxpFYIuaNIZlPB7HRA5e88VMxtVeXl6CS9+4cWO1Wp2fn08mE+fc+fm5Ey2F2ez+Yv3l7e6cU7NarboyQdAmavUKz6SgTi3jfbbbLUNMg0y/IRrebC6Wuy/1yndm9iamBjuJaWXzq9vjOOdSZAEXxGySGgKNEPEo1uJE7YtESEO9H+LrbagRtqIeKxT/Dgnv/v4+LlD0Djb8nPhFV2E4HBKJX15eso2m06n2Zmrkqz6ANR2NRr1ej85FJwV5OjcA92hn2crkJg6zE5Ibu60Q+WMFMaIoKPK/2+16tvjW2eXnq/p+0+yICvXNus+Ui+8SaXmTiHsZKacFIVloTqAYIH6CVmtuGVeqSU8Q8cYgUwu89633z1+2n7kX7ledXesbH3eNty73IXS7Rb+orsXnHynP33f9aJLH/+mb1f/yYp6HzTt63porZiN3TYWf1R6NRjTRG2N0phIbtyPiKb1eD7zOiYourp1EXDOVXEiAQTjrCkYpXqQ5cZBCoE1GSWiioOhKkDEjtYzxMoK2Ya0QiDk8PCS+YSOxD733jKdht1BC9t4Ph0PdXfj4KNwNKMTWWiKG2Ww2HA77/fL49E+i2QQZ1c01gF9tZW7UlbJzp//ZY/eR6+5m/6o3gAtgQYjtQgzb+ivOjob996mNUI/CQ6feqbZMU0B+qFTSRjpkjKBeO9HnxEI558qyNxo8Phy8/8bRx8Z774yh0+l0MaCsG+VkPhyjyXOHcU2lyoswqfe+bc1wcHO899R08p7x3rXWV227VuusXlwjRQAJhWpxDBjNRtqrMmEncv3cSymDovr9w9bXPn63rcedTk93jobXOJ6OzCZkPfkWeAxs+CCTLBX6ti5sd3fybFqWIyzS8fExxJBC2lFUdAI3/9HR9p99wxu/e2p4RQg3IqjGJt/tdicnJ5gjjWJ3ux0FC5IBcIgQAgEiH05KcPfuXWstqrYXl9++mH++qpbq2DrSwkvQw56MQi51CU+YFY4xcgoULs6yDMCgbpbr3dPD3rsz+4geeT6kkFGUhZC6MVZGKNla8+Lg1yJAn4YpXqahaTG1bdtHb390/K9B+4TGwmVZ0vmA9h01AOI+rZoGYQYTJjjnZrMZXCzvPfYRPjH1qrZtET5GLo8ckemA8/mcjcKDZ0QfyrAImyEVSLcGkAJGAalrgiCwKTQblbhxdna2Xi+b9tXF5pnV+pWq2uYima/hP7B7FLoUh1krcJVMcvHS2WqllyAIkUFBAxJZjQwamePhBEl3wiLRE7vdblvvX1zHP3mlPd+2P32U/fxRfHxkrxXNQVY9MrA3+mbq6mudeH2QXe+sDu2L753E//i9j7x7GP/Pl+0/ezaul7Mb2abfuUq4qSSVMo2PtFshI4IPBizg9fF5CKD0RHaZbl+sAPwI4hJwcq3LGhliEIRUnCc0E/twiz0pI+uATYSPF0TKUoNKKpp4tSvmd117EeYA+n7w4AGNZev1ejweG2PotOGhN9LKgu65S7QxqXzz+aPR4O7xH/uwUEfF1fIVuBAno3cbH/7ixDyx5949vcrwwNxowOBx53m2bZ61Nu+V7zfGaumXGBxkzwm8zO1YYUUq6lCKale65cBFmThmrxoe8un4A7dv/oO2GVvT63S6zjlk5DT6rKWrnZXxMq0CdwK5DK9gpPKE+sRoNNpua2tGh/vvHw6vrTfHeX5Fas2lOV2zBO2gYKEIudQFaipppQ0jE+WXrsyZ6hSHbbvw5l4Mh53ySr4xl4FQ6nfV2mDWwfyNMayqS+aCOZGZjsbv6rvOdfZGN4bD4Y0bN7z3e3t7gF7WWu3RZCKbb6r/j7s3i7E1vc7zvuGf9ly7xjP1OT3wdJPsbg7NmTRJWSYlGXIiAU5gGIgCBYgudCFAF7px5ACKggAGHCMIotzHAhzkxgiC6EKCJXEe3PNAdpNN9sA+cw27qvb8j18unr1W/+20BErpUKD3BdGsU7X3/r9hDe9617v+3kX33zzZ/L1LyaXhhquJ78cKGWPAIUtht3I7SBUo/hETU66LoogpMXztbre7tbWV58t7x99ZrH5ozEY9jmXEu7MRGruA6CoqQyXSiJpdCIFrEmRYelmWzpXz1ZPdzvVIvCB+Wl2XFYUEK2p5PAvBHBffCzXUyaD1pqVZUQkX0kodxHt//7VP/9yzRpEn5qAPBgOMI4uObLQSkxTPMcYURYFwQ5qm5+fnN2/ehENFxsOkBW0k1+rucDiEujmdTin7AVxMJhN0woD72cKtrS0OfdPXIPQpAAAgAElEQVQ0cEGJ8UFrd3d3sZukXNSTiqKYTqfHx0er/MbZ9MnZ4k1jaoJoLTkodAPqEosGEkdQee2+JYaiv7/BXmQ4QyJyqRom64lUb2SMwfYpJFiWZWPsq5P6q7fK05V54kL8xHbohI0koJHaOJCFe3u8g6ub87q5d33/4j+8nH50XH/t0P1Pr8Tn69V9SZW6Zj6fgxWzg9qPFYSHVkl3lJM2LMJD4ERNVmgQJjDE3Kiz56JqDt2I+FPdmkigIAk2PRatEyuMXP4J4N1I1hhJMwbdovrsGliAp52cnPA9aWnFvZEFHh0dYS9ca8AFzpL/wAktFovhsH82e3I6u2kEp/XCXsbWa2hIEv/8WZKmyacubGSMwLo5MDxjkiRF/WoTVrZ+xPtNXlJLqZhU28rIME3CJLHbKLuq56hbInNOmBrxZtSf6/cu7ow/N+hdWyyW1loqpkrXpGcGKAJbX1UVOAqpMxj4cDjc2dk5ODhAow5geTQa8a9xHJ+cnFRV1e3sdDv3h1CW1RmwZCwiSvoNNZrhh6no+LBlihBoFc3ITJ8gA0q7nUtFebesD2N/gSPHXhhj2gUFFpMAzkjTVy3NBgrDqi+JosiY4Pz5fHHD+2HTbDSSYhlLVMu08BACE4y7tro0CP/td/L//IPDjjdO2um4VsyFsMKoJHSD4quhM9+Q/b1z545uPShuUZ7evPPvqnqitSQj8qr0/3Q6HaBjiIcKD8StjiAFVGiDbmTQynK59L6erb6bJg/0Ow8VopbspY1Ej3otvZvcXF5KLCf6JNQjCKtEaLeWCcwEKFaIM3EcX7r4RO/n3RFybdhsgC9w5FroeaRiRibLO1GhbUuhN02zvb29tbWFoodmZk7GxHvvt7e3KTgHGXKWZVm/3z86OmJ9lTOGKUxkgB9a240UG3AStOxobIhBPz8/W+VvzRbPGHeUZhGAgBeiJi5T85VcRoFr8bkrM2yN0FlJ7ILIcBhjSFywTY0UvWqRCydhaoT5pj/Xixqse+W0/MvbdmWiT+w0T+xHo/htBdugM6Nl3JV+eWxuUa6W67c6nWQvG37pSvyPrveePon/8Mn13XV47EKvHwVgPSwg8jq9Xk/jAN7HiTS2a42VZ8Epn4B5BhHvtsJZx2qorcGseHk5ocCAIyny7KQjzcrUAvThSmmccDLD2QmJlPehmFeWpTYsEyoZ4Tdxh0kvQggXLlxQoImMZ3d311oL6TdsZCKa0+mTk9PXg1S5vPeldB/j0TUF8d7/eO6Pc/f3L0fGvC1dVr5zQERj3yrr41A8Yu0GPyBTiaIINVH9TTWaRoqpVjr2iBqrVm8ZLoF0oSiK0Pid7U/sjj8WRx0jhCb6dLk4p6enqjtKHoCw+OHhYS06aoAxxph2M4kTVpcOWoJpVZZlaEwSH3Q7F5are0WxZMe5Jka6GirhwRbSjcpZ1UzFSOmLvE3TEQ7her0e9K6u8jeqehH5HQ06/TsFbvQgrWSkXyPTFYAQeHMNUhupT0dxWKzeLMuVsyNrPRFVIVIh4JlWRoh/+OLwdhH9m+9P/4uP7I2Gw0iaI0EdcUj8MmG9orJc2Ol0ulgsZrMZHFGy5+FwmGXZunjj1t2vFcUiaomJpyKSZYwhhggyAl65BawAUy35IKA1TVIJKZyvVsVTafLAsHedfF3NtReJdjVHkQgpAE6w2hAyAHVx/2rTNP9TWLsWXiRu4mD/w4Ofd9aoYoDIbSBv3ZGJKkR8BJvGGLaZUEgZpN57atEUF+nRQSyRTpogTfpwsQ4PD3OZe3Djxg3eja4aTieXEDge6eT5fE56ii9crVaHh4dlWY5GI2vt2dnZdHo+X7w1Xz+3XL3ZNBtpWowI2Y+Trgy8TpB2JXCwSmZhOykga8ONkfk13LF2GlRKs50xhmgutGalcuU0aK2C/d5R+fXbdWXCp3fqx7bCqBMX0jAXyRRZKy2VeiuCMImaTYV8OZvfrpsj77biqvrF++J/8sHh88fNHzxd3FiET2wHZxrOMV6wlJZnjdyRGYuiiMfMRKBLI2snYlpWpLc7Mi0EKAaQIAjrTK02G6dXBZcAMUrdai3KirVoFYYWD1tJcXhTCD6KUxlJqcmo6BPl41j/Rlr4tbDNCcSMem+PJt+azn7SSKlSm/Qj6WlRWDJJklvL8Mqp/eJlE5nN70Ml0Ly2KIom3KmaW948bkwELyzIkAd9c36TdF9Tai8979igIHSzdm7B114ul93OfaP+JzvZ3nq9VmEK2toIYUmbwDOAUlB2phczhMAvk0UpIg2ZGTQby4s/5lRon4D33dhfttaV1cS5t3u6FSQgX1QMgP3ln7xMNSJ1xqSSkxmRKyuKMoku5OUPrbXODjWtJ8RRjFojMOecAqQYLmOMdtwnMhEwCH/NexfMbLn+SZ433g06MmseSjy1GxoZF4vFL97f/99fCzcmsw+NKgJHXC/tyGVZqsAWED0VuBACcr7YhJ2dHbJtY0yez+8df+vw+MWi2Kh3KagIjrpuDaUhjtTm6UZ4vARebAphq6aGVVVFUbMqnk7i+7PkfgxFW3SmFq4Tq6Hl51wmY6gJUqeo8B4/UZaDEm61uYATdeniEz/3jhA6ANcShgXhVSTd35gq2rMo4GGMSMio1VlhhyoCyZ830tLb7/dpPqMoBeNcK0/b29tpmjJIU9N5Tkyn0wFX1K5qJ3IzWZZNp9Pp9Px8+vp08ey6+ElVrdTqRdJL0Ig0tmlNV8c6Y1u1rKXhZyW89lp6vclTC5FggI2pKU4kusbK7eYnmWhnn+TmT280kXef2KseGdjMb4D4SLQWnXR5l9JeXYu+OfFdLaNtOHnWVqv8Rr8/MKEfNcVn9s1/crH85s363x72fuWazyLnvadDlM3q9/uw3VIRJ6MsEUlXNY7TSK3UCZFal5H/0I5MrM/p6akXfiAxJi7TGEM0Gol+t0LHeEScBMgndGL+1hjjRE2GPjAvXXSlKFuS1gCtK08BjEEhCoK5RkQ0yrLs9Ts/fv1P5otbTogeSnjhpBXSr4mhmVbu23fNp3erYbzpmQMQxq9wQow7rc0bsXncu66yo7lWiagvKfOIg2GF+m9FmZYzo7bevBONMCHb2fp0sd6N482UTS6Ctify/UlojDFMW5xOp2T2cRxvb29T+2k3R/E+fE9oI2ousyzbpIMhaDW33x9YMxr0r67XR1W9soL0kk55ofyw0bEoqSqGpkuhYZZ6UC6m93Ged6vmhyEkkR9YIdlFMm7MtLonK2GrNiLaRzWujUjz/hyAsNEHKIry7nJ16N1oMBgbYygJAZnkeb6zs2OMWa+Wv3yt88+/s7oUzYf1DGyML0+o1+v1CNxRbKAuwxQ5puUwusd7v16v8uLW3eNvLJeHdV2raIDyYImwFQ0yxhARMnU1ljFqjTRNrUUnGWBzU1l05bJ42tsrNlxUNxaLCoyioJVwbrnLRO0688DKSHMnInyNSNtAOm2EZ4dXTmQYHBf20sUnfu77CLGV2CC6XkIItKTodEet5bJ2ykXu9Xqw2MGsGEFJOlJLS5CX4XlqDXnleY4uKNxiaockXqUoTtEBWoo+LzeBO0+1crm+fXr+ZF7+pNdLFJLKRAib+0yEqKCl5vUKf+cizKaejz/UyxzJEIZKaKWJdFNVMmIUMxSkUY83x2i+tfbfuZk/MQ7vH1ap2wChBAqhNc9BQ3XNcmopahJ5YaMVvE3TZLW+WzUnkRsbE2WR/aUHsx+dl//LC/Xn9spB4tmyNgEE06OeKYSwkZtKEmstU9zwuJEoC2v7lNY4mxbz08iUef4V+lLVon0rrqXu1rbG41FZJH1RBLgsS9gcIHXwPkiqYukXRh7Pe4+GJJKhu7u7mtwrNc5tVOKiN2/86eT0TSwRjpb6Uy3TP3gugOUi2L+8WT+23dw3jKMoomgai9wMVsO6WRVeSdyHnOsHafxg9XhYggmVmyG+NEKhMjLsXhH7SigYfjOHJBr0Hx72Ph5Fg8FgAPlQw3PO5NbWFpAJzvvq1av4HnaEA0A5lhErKNcQ37SdH2FTURSIGFgR1HXS4rLJvVb1oP9QCL4oj6PIG2Pg8aqFNVI7gPXdCLdFoWxWgyuGYeWvyrL0Lm3qfmVeMWFQlpuYKWpJESl2t1gs1KloPr1er5FyVEKHF3auETWMpmlW69PTsx+uVvNB/5Ixm+YHwk2d0WaK5fvH4Z8/4758yV3eHSbSPgjMoGBSHMcoy6DMQCvU3t5emqZ1UxwevXR08q2iugVNgfQRLNrI6DHes9/vxzIskCUlQtU4W5NIhpsqXlrXddOs1vWzkbtarLcV7jZCFqOexwe1K46NtOU0win1woHQN1fEQkOZIES5VPSb1FJdvPDRn/uMsBQtJTLCKIru3r17cnJS1/VoNNJZuNZaJUSQT/T7fWamc3rYJI6v934ymcACDcJ04hCgLbRer+/evTsYDPb397F9sLqJ661MswvCLbTWzmYzpsqxtfPFjZPT7yxXrzlfA4uV0q5EBKSIqKJwVtq3i5ZQJyC+Ezn8SrrHCKh1FIumgIqkYdaVoKGIqG3V7Y0xLx43Pzwz/+BqvN/ZyGy2rHOqtlXPJYFt2/F4kb12IuCEPxCzu1jlbzWN825YFMUXLiWFTf6Hb06/cH96eXtANEMuqxyKSsjoQYSE8C4EvDxyLAN6NHUIUihVNf1IGufxaqxAJR1vyuvbHGsBRVW/Bl4Gfpp+G9IgHWVsjKH/iSXFLwLiYWRHoxGthHmej8fjk5MTWrW0bAYwWzf5veOvHp+8GQklJxeVcM1LNFSy1joffe1WuNKtHxqYTGTesIY8+3w+j6KibL7XSR6P/FjRVK6SIuehxbDd39/X7LNplaXZWSAyPfzW2tD093c+3+890Ov1m6YhWbEy1oPWI+ru7FqWZYSSfCjOlUZSI9RoRcmQRWxaCiOV9IDDVmM9d3d3Y9EhymVYadM0JvTT5JKxi7KcaxaYiBROLMRsVBI1HQEX9aI1wzmhLstPkiQxIU6TnXX5QpLsmxCnaarsGHYZgIHvrAgtBkd1ACLhAbC8GrcZqWKUZZEXx+v8VhwPy8JpawrOjGD94b2BiZL/9eXq1+/31gQAITBnuNO829nZ2e3bt1Uvptfr1c3s5PT5w+PvzOZvdbqJwmN1q6YeRP1cFUUI6zWCCSInpETiNE3hMLK8LOZ8MSmbF2J/X6gPCHeKouA9wa5YDT05XKu6xWuFm9YGnGphxECw4NMVMNMM3rZGbZdlefniE/8xTKiPogieZyTdKl66mrj8RrroaFXGZh0eHipYbGWaD9VXUmktcbGgpI/Ebqenp/v7+6jw0fxA5leKXhoOIG9JhoIJrFark8mPJ2f/fpW/bl2l6WYlinxOxtXmMiAmyBgajUkjESE0UpUxxnBGNUjXio5+JQXHtO5VVRWwcDto1YSvCu5bx9GsiX7pso1DaUUTS5HYWiSP9f+CROHwjLQoYF80UQiiIAMFqaqqosiDOTVm1uteOjubfXTXdrZ6//3XTz57IdvKNnaf+IOPVilCJ1KfTHzkZHPHYJ82wr2MZQ6XJCs+jmNaVuDr4j4rGUlItMFV5GrxmMr0g3LM6rEdi8ViMpmo4YARx5dph8C0QtNByNcrioJOQW2XJr1jr1fr6eHJV8+nd8iiCLq995RhCplRzkqy2k8dBmvCR3YCYrmVqGXyy3meR1FdmRcT/9BwcH8ltEA1T0bojng4Y8xgMCDl0vArtEQ9Kukx5YgaY0xzYWf86cFgmwhGZWmttVSqYDnGcXx8fIwXxEBTWFUnp6UgAE+OGZGrirXywtTi0obD4WAwQIEBhz0cDishvnILup1hr3OtKBer9bFiG16Ir4BphKd6kV1LjlHvCzeIyhP31/tukvQX65dCPY6ilA81Epm1T5GGNU7K/wpB10J3ovCp+ShmzWxon9P58s3F8tZ8OTHG7u5eohrN6q3X60eH5XeP3VM/OXmst8JcECuQNEOPIIj03m9vj6v68OjkycnZ8+v1SVHkdGUE0Z/jYbGEVlh1xhj8Og44EjkqL9p7VVWB06xlXkolg5lm89O8fs7bi7G/FqTDHRY97hODhp/DjBciG0IUy63hYQkjFHLQfVRrQ6uSFSERCvDcC2vtfwyOkCvRiJ4IFw/Dt1wuz8/PiStpSmuaptvtgqdhTRD4SdN0Z2fHyQwwAnaOLGex3++T8Blj2CRoFzSlqn4YuGie5wQ4VhSeOL7zxZ3jyXdX+Y+NKRRirWTMfRC+WdWaosK1b5c8Fdfm9uLUMRZeugbxuCSpHAgeJBLt6SCaXq4lrdSGiWZl+PNbzdjVn9qtvN0ULTIZaqjJk15RTRGoCCatIXCpzB/wwsxUGFb7VaqqKqv5+exHvd52VSZP7Kdbmf39by0+fl/3Uu/tWq9eD8qHGqTr1yiKgrCjESosL0A2cpogDWT0NY9Go0okvPky/IlpYVPtZKgoipOTE6AtDIoxBpbK9vZ2IyprJBlQtwhyOa78ifcewSNcCFVAqJK5KNWtVqvV6vzo5Gt1M+fTg+iAc8JZBGICzZx+MjdvzarP7jVpkmAjMNOxzEYOoQj++yZcGvbfp+cZY6EWhIPB8SP04QETIV2rpVbzF2+EjOMrlz43Gjy6vb1dSwNlIjPhyDm4jHqY2SZ41O3HhNnhpaIPiqPgivb8RNLRsZIRXeqY2URNoNnuSrqbOp3u3s7Dq1W+XN0JMkaDKxmEhQ8VgOSVSnCQSRdWev500HEufXhpMramKerXvD3Iso0UjmIPRqYwNk1D/sqVjGVMUiQidkHahyppfcMb6TZZa9PUer/Iixun5y8vlneSxIUmyrI+3vST4/p//lH6oYPsUsdo0MANAt8qyzJNo2CPTqdPHR2/VBQzPhe2RNM0BDGxiJsHkctvWtMnNBfkKEYyRtiJdLAVLYgghJeyXC7LZ7w5iP01PDGPrCZRMxlqWBw/IGtuuor/rUVHlwQxElpN0pJK99J4Y4whWWQlFca4culjWz+zMUx/9md/9kd/9EfPPffcBz7wAQLwd339TR3hbDY7OTnRIKVtowlJACQhQbBtYB1QzoyQKtXlaCc+0DPLfXp6msv8pvl8rjJFlQiVUf2iL/jixYsgFexBv9+/dfvlO/e+MV/+IMs2xGsFWJzUokAyg5B6jVwYzkRoDbnVex7JIGwOECeSkBB/QJOy3m1jTCPl9yzLyBojaW8KoqN/UiV/ebN+uF9/YFRH0SbV0Gw7iEZDIVRvxRh5XsyrlQYGyua1NDtamY0FzVJTHLKg5epmHJte99ITV8aXk9U/e9o8ennr/p6BNIj/hvEEJyJI6ZQMphSlRApauBasZxDJHuwygU4io5sjYbRb4RA64XwrloJUEKS7uq5nsxliCDh+cLBCJGzA/ZqmIRAmqwgiTIw/oFek3+87kabUkG61Wi0WkztHf1E3i9VqRb5rjCnLstPpjEYjJHYBCfE3xph1cN+5sfzMpXS7lxKlRSKTRrBV16VPX3V2u5c9jDVkN7W5Su1+Lcry7B1ZOAgenh4MnB6kTQAepQ/e/yt1OXbSS64VbuKwpmkIGYnoOdsQgyth1RYyQp0gyUrnOCcZ70i6v7OzAymD3en3++PxmF9LWsxn1jYRAj18Y5LFLMsO9t/nXLrO72lQEqSxQa8bd7OStqJYZi4aY5R/oZaXQ97rXmzCPC9/0uteNWEjOdR2sUoo1ZRa0Q7MQiKNcfpDI+EvFTvcKudtvV6XZVHVi9n8xtn0lePJq2U5S5LYNfbRC93/7vv9/+xq3ZRnZTXLOk1dn55MXlssbxyf/GC5euNs+nxe3FmtZkZk5HTvFFNxomPViIADx4OrVLVEjIkM1uu35yNSmFB36Jyzrl6un3J2r9d5BFvBmNKV6E1ixODtV1ILV1ST4xREM6sUDcKmNXLLSFu9/hPwLzFTaPHYuTgP3P+Zn9Fg3j/+4z/+nd/5nV//9V9/6aWX/uAP/uC3fuu3oujdVUn/FtBoKZ09mnmQJFEZBrXAdFZVpVk8dl8jTXjqgACErpFwEFgvusEYYchqUr4yxnQ6Haq7R0dHRhyYc64o1qfnP3rlh//3+ewVY3Ltb2tEEC60eNVKqaiEWaNOnVuq5oyTGqQvR+1OO6TFhCnLTlEvve3cotAaWMPN/PHMf/vYf3avvtYP3HOMXS28ADwNvkfhESND4wAqI2GTKjbrpNlL5TyMMYmMiNP6qHNutT5aLG9k2cH7dkePZNPff9bdvzd8oLNhzzrnptNpIg1GkcyMVLYqtwjqPPYU58GSkkA30iNYiyQmi1xIq0wIIZdxzSwX7pygEjAc9l0iMwU5JwTaDA0oyxLOnn4QkSn2hUnL8PdAiUnagMpn86OjydeaZhWJajO5kXMOJ8oHMayKj6jq5mtvrR4axw9uZ0EkcI0oShdF4b1zyWveZ4l/xBiDVI2iT8aYUqYJKjCAyaAXm+BVpZf0xvFBzmVXL//K9NxA+eMM47NHoxFqtKwJS9H2B5nIeCrLiYzEOafCBZRmNWH1QpEnL89awvG4CjYIbirjXBi+liQJlCiCxaZpsnQ3y3bK6jCEzfSGIPRODhVbz8nRmE9jQTI5Y4zWlfkCWXKQl0fr/Ga/e7WSZkTVFMWsk9k0MpdKSRy+pcPiZXRXVVUg5zgP7pcWRCKZVBpFUV2vl6vD2eKNOtwch9d666dfuP3iQfzGfPH68eSHJ6c/ni9uzxd3y+o8mJVzm7FlYMuNcBqgmSgcqvE3O1iI7IASDIns0YHSJ/UywYbb4b2PIjtfP+3cduIfwsETkTPDNZfZbZGIGGi4FkURtQwFBrizbLEVPSnFGFjPSuRBNGtsg/8KJl259LGfhcRaCOGf/tN/+i//5b/8zd/8zV/7tV/71//6Xw+Hww9/+MPv+vd/i4Z6rfFADsY9JCIdQvhphSQdZH69WnOS5SzL2DBQLyMKLES+XACaEfk5UIkC4oR1GJ3VajWbndy598zR5Dtn5z+uqpWigvo7SiUl1eDPla1gBM7WEiahlpMhFeS4GHEgeM4E0a7mf+qzORPKf2uEt00MQZ0jzTrPnic/mpRfPsj3u5vkT/OhNqyK6/UytAGfEYQ4iu2ohW8dyRAyvVqx9CyzFE5kOEphma/Xs7PzV71Pr27tf3qr+P1njE+7n9j3Chzx5+SgtQx7I1BIZcwKgCTngSIi0TpZlLoHasPkcKY1UJ5lXywWp6enuF7IfjpvjzNmpIjVSKs1fsIYoxVTnYhJimaMoU7T7XbH4zEpZpIkk8mElHEyuXly/s262cxR0iyEWDiKIp01n8u01TzPfzCpymA/eblbFsVKZK9xCaxbbV4zNu8mH4ZWZYzh3bT8HKRhRuHusizxfNwCnfftpIUAgLrX298bf2G1CoeHhxisnZ0dSDE4MAL8yWSS5zlSouBv2D4wmBDCzs4OfSmsGMghZ14b8xNpc1oul6QjW1tb/X4fAg4HAw9tZDioDpcmgODBSThw9kk8TOLdujly7u3ej1gkwo3YTT11RuojTasi42TEEv+dplkSHazWN9b5rV7nvjTN2CZdukp0izTm4KUFEaVraT8xJovrY6Xq3GZ1NSK/wj8lSZxl8V5cfPdu1XFhnG6ohUFIfImMY9NN15NvJITChxmZLoLt4negH3pRZK1E7IL/62RyMh/UNE3dlMviWWcH3jzIkhpjtre3CcpVCxp0h64YwCogAdb/7VK0MbxzO4GuZBQMESQXRMMyCGt8/zTpJfG417mUpfdduvj+fn/wU3qcn/L1Lnne0dHRD37wgy9/+cus8pe+9KVvfOMbv/Ebv/GefJ4Vea0QwmAwYKg3dxUojEjt7OwMiXQnAxYIQ8juiYYIsU2LiRpCgIm6vb09nU7H4/F0OuW+cZHYdTaSzzqf3jyZfH9d3LZ2A2Uo4aKdxnE+jDGATprax8KoNELucNLDhFErREiXjgKwci429Sc1AZF0IwEERdLuDZrEwdL3t0nnT28ZV65+6UKZ+A2TjW+l7pOLynuqj6zeOaAOkGowGBCGe2mZqEU5M7QQ/FqGcgg02mh9tKqqe0ff3RodPjT+2B9/3v5X31ocL/w/e6JDFAlpe2PfpaeFY3B+fq4x9WQy8d5jjvF5zCDFEaZpOh6PSWiogoxGIwpvQRSk4HEsl8vZbIb5DiIGtrW1RSGWT+f8MByRn1Oc4wucnJzQQo4PK4pia2uL48R6Hh0dwZUoytPzxXfjOBjjExFPUccGqoGenzGmkAnMk8LdWDRferAfJLslh7MqTWduBHM+yD41n6808A9CACYKiUQkkzPmhL+q/H6WvRK6BMa327mcxo85l+X5+cWLF4fDoTEGgS5yL6wSD4J6DgFBVVWoTBCGwqHFD3HYtCca2FlxFEj/tLtRJbXCSeFeQwiw1qLZNh6PR6MRKs+4T9wz283wyyzd2936wr3jr+EMCAJGo9F0OvUyO4L8W9F4TlTVYuTrpQOQiKK41/nYfP3MdP78ePRxJ5XsSDptuE3Ei4rlcPFzUYXlg0iC6XDAVaxEzZ+0mNy6lJYS3mQymYB7/+KB+Xc3i53I9VOPQVAPR5JNshWEHaaWwQgKakSqMEifrmLXsWhha8VBnZYVoYO6ro2p8+oFazLT3F+FTc8S6jYcrXZsDaePAqFvzUCFNKeQJn9CtE0AQezC72sROsuyKOpm6dj7Qbezfe3KXpaO83yjwu+ci+PsPXFG73BMakT09cILL3zyk58EQDDG/Kt/9a++8pWv/Mmf/Mm7/v3HP/5xhATbP/zyl7/8j//xP37X3z8/P0dAqBE6tV5RIxhxXdcUJ7iZeZ5rBwVLieoPttU5x/QAYn/uUi1qKez6dDrFa7IraZqenBydT19frl+vm6kmc1gTI22hlQxB5d0i0VAmZNZfqGUqWCQkT0wDIRIXQIFBfcz/ALvg5jRCGdDrZKW1Q6sycQphbQUAACAASURBVBwvi+bP77prQ//ooAgyup1MmlBd86QgdMHQYodW0nKg74zzaPNxXEsSov23/IlK3ZfSJ4QD7na7UdTdHX/aj67/198In9pa/e6jm+CmrmuilnYkSw5xfHyssXkmsw/ZbtNK1PI8h8xCPGTEAddvT8hLbKtDXHFsfH8praWVMIrxE+TfpQwrjkXLtCxLytVJkuAPguj9O+fOz8+NMXl56/T8GeTwalH1JKr1Qtk9PT3FenJojTHBRV+7az60bR/c7fFBxhjQYAxWHe4V1Wu99JNFYSrRD8LtaU6P56ZDGUPvpEnGStORAlAcnrqu93Yez5JH4jjBBqEpofGNkaRZ2wyobnKKULTAtJkWO2w0GvFxhB2YZrVoVVXNZjOK8Xwx3B5PpDA7ZhpHBbYPRY6Yhu8PKE3VQGif5dHk6/PFkTEGvBqvBn4LGBOkbRHInbPqWgPQCXSsiGaU5Xq6eDJJxp3kA5UM4iZs5QgZKQrUorenu6/1Wk28apnfSRxphA6q79CGvvgaBJrPnJhJbn5hbzOdWE2HwgyVNNQSR9aioITRU+fKBdG2dA2nSBCT1qDjpmkQlGiaZrFcrKvnrUmy6IN13WjcD1WYZ8EIxNJKX7VYhE7mMo5GI84JgYJOn6hFOYRMQyGfunI724+Ptx5xNm5nF1mWwQCgtnVwcICa4E/5YrX/+t95l4xQUyJNVgig3vUVx/GHP/zhhx9+uP3Dhx9++K/6E7YfcJlIh1IELVmkSpWMIMAyQnBQiCAITXnzAFFEOZB3g2xC8YZ1z/McEW2xg+f3jn48OftBFDU+8i5s/JkC0OadjerYPmylk0p+3Op7MyKiobcuFpU4Dh8OspDO/f+A6IFRYNcxc9g14lmQZKkl1Nba+br6i5v55bh8wLnQdDQsJfRW6kEtAgUcAudcKb0luHnCK2CuqqqUoNyRqY1Ounas8PW9lND1NnqhifPUIYQQ8tv3/mK/nvxvn//4f/nn5tKg+Y3rw0KmIEFoxM5iGYfDIQCAk+Ir1SD0J/v9/sHBAfcZvglcDIIncFRVhALhbFO6AQM5EomIUxDBaHUEfZY4jkejEUeOqXIcPIJ3jge2PkmS09NTa01evjpbvJokURRFEAe4zzha/CvIHuaSeMV7//RZcmVkHrmY4as49om0YTThLK9+NOp9JjRpVc19a5apomqU2dq4KKvnW4xcjVfMpmnHX738+W7nIeKeShoYOI1ckFrEDYwxWHkkY7xQhyiRBmGN8unMmYJVq0eilGaJKIquXbump9oKRxrPpx1T0Dh5cwb+Xbx4cTKZDAYDbhOw3tbW1unpqZJxQghp9ivHk2+end+gFhtL2wNQBI1SOFG9j9iH9qU2LVK0tX7Q/cRs9e+T5C3nrqQiJAve28gwUc26MmlID0LbiVt9dYTpbTxGgaIggyDAA0go8WTGmE9eyP7PN5o31vZ9vbcVy6z0UCrkyy0O0ilYtqarNsKzC62GQkUXSJ0x4Dw459w5t1wti+ol75JB9pFgNnKPPD6uDo/gRCU8CDvavVOpbjwee+HD89QKngF4piIEXxRFEg8GvUe2x49EUbJcLm20UWiKRO+01+sNBgPuEQfgr3ds7Zc6i7/m9S6O8OLFi3Vd37t37+LFi8aYW7duXbp06a/6+yRJfvVXf/WLX/ziT/mdqur8zuFXkng/Sw9Gwws6N+Tg4CARBjn33Al3yxhDaMkh49rHMmcgz3Nm05NdjcdjYLF2VtTtZnUzOT750XT+VlkusGjeb9o/G1GRJ9IkrufcUHhPpLugbYC4tHyrtQyMpRtB+ZbtaU3YVv2enFQqIiTfHDLCYSc0Ii8dwfxvGdzX7pQX0/DYXkawYiTewQaVwlzHBmE0lUdeiNK0BraIh+EkdnZ29JJjI0xLwlQjSnIpjf2t1GAiaZFM0+R48nxeHP7RZ7/wm1/vPLxtP7m90XIjpqNghjXEA1GRCiFMJhNOPBU+VobFZIAtQmhgA9w3wlhSBGOMqjiCK8Qiecp+lTLleLlc7u/v8xHYaM4hW0MAhKS7MYYouCxLgjZrq/nq2dX6npc5R5WIKNJxSOakTSNE3OB7N1bRWRk+c8UoyxF2JbfjfHp7Xb+U+cfrKl6vl1bm5hhRn2JDu90uSW0lQsaQUEhweV4qbRjlOE73dj7n3T4+huSJw8yCGymle5mczDqocVQTX5Yl3oXWPYIAHZUXROgHH4/rYgW0IkUEA0yKhR0MBgi1GBmP0B7XlabpYrEYj8dnZ2cwrSjTNk3T7XZ94Q92f2G1+vPl6qbmxI2QsflWeAsdIYljyFuj3kNr/EsURU3jeunHZosnex0Tu6vcYs65VjcimWXYyMwg+lk1otXqF+GmEXqOMukUyeT/cssqkVHNz88/v5f92Vv1pQfTgeDVXCLTUoGHUsT2ceXBIRRtalp0a24opSLyhEKE4NmjNE2Xy0Vefs8Ym0WPNsE0zdv8hlKUK7T0q+4fs8mnEyc5mQCshBrdXCM1AoCfbmfn8sXHYn+hqmprN5vLl+QjuLMq8kBXvtYd36vXu5Blsiz7yle+Utf1pz/96eVy+bu/+7u/93u/99BDD73r3/9NyTJnZ3ffuvnNqj5e5W+enb86mx+enZ16l8VxCj1dt82L3j/WUEGeTKSPCMO73S6YnjFmtVoR95UbxbLFdPZ6Xr52PHnqZPKD+eLeer0gT9ImsEJ6oRJRQGcjOcdOehjYaYgblcjBINAQpBmDaEVq7ynvb0TaKhbpYb4AZiKSpi51e6xSXdfMEMZF8eBFE/7yrfVu5j55udOIqiT2EYNYCQOIF6dWMy1sRyQEV4oEChAZGZlbCUFuLaODSUf4TaCJWDofMpmkqkWIINCudWVTvP65S9k/e3b8pStulFhyVnASwGpjzNnZWVVVyOhA7qiqajAY7O3t4XsUlsCcYYag0tD8C2lNnYRz7vT0lG++tbXFnSFFIw9AgRYVMZ4C3+yFCDoYDE5PT9l98G38NOnd3XuvnU2/PZvf02XBJVhrVQvCSfceUbOSgZeN/fZJ8pnRatiJTQtn5gwsFifL8tlB53FnxnVdE64pmUihNhJ0joReGY60AlaaHDRN41zywNVfjdwYW4/15Dzw/oQOyk1gbGeWZaoaWpbl6elpv9/HnYCiQ8F1zo1GI56R3wQLTWTSJ3ALh4ojpBRT0pS6rqkKq0k1xlCArKX6xe4sFov1eo04lPdvtwk550fDB6bTSROm4J/GGE6Uaw3EVvfALdCrqvrpXIRy05YexX5/mX/P2siEHnimMrz0svN/cbpORphZIega4RZwi0GD9JsrZS8SKU6iEEUXM2/iJH1hYj900OkI5qT5ViPEHw4bvhn3XIuyPJuC+3EiR0WYop2UhXTcDgaDEJqz2VMh1Fn8eJKkhM616M1qqE2Ib6WeDQeK3bQyNUIpgfgtJ6wcY4xa4CTevrD3md3tj1dlslqtcaIcRfqUMIzD4ZCrCopDRM4uv4evd2+fuH79+m//9m+/+OKL/+Jf/Ivr16///u///l+VXf5NHeFkcvfOvRcNNMs6Pz+/vVi+dXr+8nJ1p6oWVVlHUTdJNn0nCDz2ej3lp2k5St0kmwST01qzzmdVfb5Yvn56/tzdw6dW6ztFOS3LAtdojAkhDAYDYudaSomcbC2YmXeSekAaidw1hMSJkhVpysif8DLGeO/V2nJYg/CAjTGATprgcrKx8ir1RM5aFEVelt8+9FuueXxn87VhaqlZNNKLU0mfEwG7fqiisrZFLWtaLMdclOnVSHHVFUTiDzmvPK9pQcpWJoPzgFVVxbHPmlvXknv/46sH/+kDvX5nA+mQwxVFwX0wxiRJMp1O6SEBmCWRXa/XZ2dnQdoiWSV8IRWsSuZrIwdaliX0K6x2HMcIlziZ0qUAu7LUAPcwB8rvp4pD8ItO93q9Ho1Gh0ffP5s9WRTLpDUgxstsilJEvJpW92eapgTLTTDfmmTXe+XlvgUNNpJwx3E8m01mq6c66UOh3iFW0Eg8FknYRroR1I43MoGLcrLm68pTj6Lskff9emi6fI0syw4ODlyLvjgajVDfxa7R0U8EQGxB2UIbWjCdsaiwEo1RYGtE86/X621vb8dxTJXXtCRCnFSgY5l1bluzVvgCtegZ5TLNgB0EEsBkQwtAaQUmuXc7VbWomxmPwPorHoima5BWKFyImm8vnRVWmpestdZEvc6V2er52Hc7nR3eEDpuEGl1YsF2KKnoghPuUpA6vRP+gRFRFTw9j+BlHqfGPSGEkStvrKLcxBc6Gzepx9gYQ9FUIQ3uiBOViaLVXKRwPRefEDOXznpjzPb2tnPm7vHXQwiJfxTuCCaRP+SQ13WtSAB3WZslbGt0qJVuFi9i31boWoTL3c7FYe8jeztPDAf70+kU+Jr0BkPEmWQluaTUjLe2toDWKGa/h693IcvwunPnzre+9a3d3d0vfOEL7q+uNH7xi1/8wz/8w58eGn399Ree/96/McbULfagFe5MnufOxsPRXhL3msZbm9SlGW8feJfleW1NHMc9a6MkcXWzipMwmx0dH9+u6qVzZRNWIRRVVQK41TI5QY+plVE4XGDFSTiaXAbXavwiwjLGFDJ20olkkRERJucc4WrZ6re1wtZB94jipZHMqZIpppFM0ya5bESmi6CYy0BQ76P4m4e245qPjjeiMPS06h1Qh6reyxjDwwYpZhAs6zfhdFK5HA6Hyr/g03Gc+BhsrooqRNIYhOdQS22MUa1tKkaYG2PMX9wKr5cf/cPPPVKs1xA4ITrlMnWZZdeYoxEO0c7ODpdNcTNjDD3vRoYZqSXFpoDDcC1VuA57oYlUkiSDwWAymcRxPJvNtLrMF6B8Quc41cqqqooiP5+/eDL5PjeZXggOLak/fX6c4URE0rUKm6bpK9PkcN18ZmupJj4WgfWiWE+X3438Tjd9BFuPEEGbAOWkgE2srXU7DaIVGoU4naZpmnavXv7luupQKK3rGpYsQzzwdmBrMLG9aCphejCpkHJxRc654+NjMBulhrLItcw7rEVGhPJq0zS4fGAuZXPU0mddiMoMhp6H5cZBBWBhgwxhp1zEOVfxB0pQd+/eOTn97tn09Vi63RUXwbzG0kQYhHhspCXj/Pwcno4RNinPm2b10enXe+njkd9TbFATR66Vyu8paqVX20tni4SGcSzNCUDKGnQ2wkIHaYDJkmXZomz+7Zvm1x5I9rpvT29uZ9igI5xYojc0mRUUJbyzMoSAejz+jEAkiqJeL711+DVr4ix61BirhAYnLD+emrZsbQMlwoulkVf1HJxoQqll4H3yPLe2c7D72UH/kqbOxJ3MCyJ/4IuFlpQV0AXgdl3X4/EYtvN7+PorHeFP+fqbOsKf/OR7L73yf2g2puUrQSSsFZofx4jYKpYuBWKNQrSnOUBa2LOtWbUa/htRTeMjiOAwmnGrh51sTLsauN6sO2YlFuUqzQMiGYpGHqlJatvtcRUj0ZQhSoqkgb2ReSuNTF5VWQqe1BhTVNVTx2aY2A+M5lFchZDX9TKYwjmfRANjsyIPznWzdOh9zO0l2FT5tLolhKFujN+01uosbP6VmFGbCG1rYotyF63IMduW5DfkCxTsNBUm52uC+b9+0ux0dv7JY5+q6+TOnTvb29ukCwoEUUxK0xQQkixH2TGr1UrHLOOHjMy14TGNDKRVG6R1EWstFod7xVKrbQJgH41GSM8URQG7mJIPCeLZ2eHZ7KnF8m4buKMTACt2dHSUiJyCZsz8LxXrszr+1j3z5YtNFEojpSa+ZF1Xx6ffdi6J3fvx2Rj9WIrTnAe3aTXb1GVJOoldBoMBxT9jDBqPaZr2esPLB/8gTXcnkwm9XxA+j46OghQmR6MRd4eirJIyIhFfpYy3v7/fCD0biBK3CoxsjGmky43ES+EBXHUsTWYYPkIW1kqppAqyoXSht564sJLBZAqtG1Ht0aIaMcFqtbhx+y9W6ztU6YKQ7GLhaVcb+dZIy5+1yBEwFY5SrhWh1E6n0zTTs/l3+52POjs2ghWpF+Rt4XGwsBoNN++cZ2SEJFKLfC7ProXwRmbvlMKiJxR46Wj93J31rz0Q9bsdfh/LwFHR9BGfgfnioQiPrBSbqOxq2KdpXNaJ7h1/1butxF8PYROYJtKzqLwYkCpgT/bISzcXbhWjEUSdkduKXxRGzIX7Lv1Cp9PnpFEiqapqd3e3FoUaHUHK1ozHY/hrGvWGEA4ODhAjfQ9fP2ut0en06Obt50iAIhl64oS4lYmAL/9by9h6DZ9JIzjQ7p1D9bghWhvQXJDkht0FucIhaSFQ0UU+vd3dQVikg0uCtOuphJjCUI3orGudQ/lUVtjJvjVQyUgQrSiHEfWQKDaNOTbuqGrulvWNVfXmpc7rO+mdYGd1vQzGOJfZ0LO20zRlWZ3VYVLWt1b5D1f5G3l5p6qPinJS1bM4zrxL9XuSIQXpiOI+xDLLjexNO7r0gmnMgbWKpKfCtCRy9D5g2bn5miGVZRl5f1+3+c7d+Xr16sVBtjW6MpmcrmTSljb/kRlQqeIMMHfbiupSLeP3NA0FkIyktUDRbCwsS0q6ozUw/pVLqL2q8/kcxgdiBTDciHnv3nvtaPL1dX6qiDTGNJZ+uLOzM1xv3RpJWotieF3XLk6/etd9bNcMXMFCgYqDTJzOnguh9OGRNM0aeYFbGMHTrKjgKm5B3BbHMazXSFp3COxGo/EDV/9hFI2n0ykRhhORWB6Zfga2klEV+p2jKNra2mITz8/PgVjVG4GUuFZtjHCBm6XsCfXinH+Yk5R12W5KR6Uo18eivkR100hDBesQScdklmW5iLviiTeQiffgEFEU97tXz87fWq3PjbQPYbKhuWErwG9imXdfiUJ6LL1AdiPuA7KajoaXT6dPJvFuVW5ExSKZe6Vhd2czVdhzzXEAlbQqmZaroxCo+qtWShXkc7lI/lqp9Q5debRqJutm7HKtUJAz6H+wSuv1ejabeWHYGYlRjDGFNDRz9jQhdr46Pv165PdceKAsN3XTTAQlNCEpy/L8/DwReReyt0i0BXxL1lyzwEIa0rIsa5rg7QNXL3+h0+lpdUMx8Er6IDWoJenHkSvRLBPxZI7Q38Jb/TWvn7UjPDm5c+vOc8T+XEUramGJ6BwagRfa3XVeOAhOaP14PqCbPM+hrtSiGV9Iy7w28ehbYTq1w13zjCAaK9xhSoCpiIrhYrE4oTXLVDH0ojVTLWoJu+jTeWlyd9JDYlojBhfL02APq+aNVflDExrv+pEfvzq/cLy6fG3rkche8faCt/tZcpDGO1E0KvLY2a04Ouh1rsX+ig33JdHl2G/H8cA514TVbPFyUd0KoYyibhRtsETXqpOxAkR5GGX3zn5HIy2Pem0QLvEytzYSnpg+hR7uWkYcbCxLqK8No7+8Y3ajo1467XcvWJsggcbl5MWHBpktYIwBWiQ01tLd0dFR3hoxWkmnYCQjAkoZWWyMQWCIS0vxX7WBOFSQZYwx+/v7o9EoFg1uY5qjkxdny+ejaCPWg9EppW2RTayqivJ+kLbLIEOGYSU8eRZvueqRLaMFLaUOLtY/qOrTXvpRY5yViksmGpJBXnxup9PRjgsWCi9VC+GCpR6NxlcufjlNdvlizC/Twm2SJODSNEeT+MJuBYn1QnQEeOz1eqhSGGPI9cnaFUfRw8OdNSJxYqSnW8Ee7XnQLdZd1qOlsDbt83pZjIw4x02mabq9vQ0qrrR+/GKWdbqd+04mr4WwwZ87rRnXvD+/rK3xsUxualcxYuknqarK2ixLd6aLp7vZbgiphgXceoyJk/6ZRirEAEi1NAu6lowLQVspLy5dIzMdFZiFX+a9P+iYp+41O5nz9abtRKkALHgiQ5FoLWUp+PRIhM5JN50I63vvi3J2vvhuFt/nzVUjmDAAtSzmJjPRoXjg2741eswI1QD4BytXSZNDmqbrVQj1+/d2HmH7EtF8qGSsAumdF7YaTMbVaoWOppomzT4TURB8D18/a0c4n09Oz1/lAhtjgvCtNa6x0oWqjiQWbSG9CWrKS+lD0KiEtvr5fG6M2dvbw3Y0Isyh2Hcj8q96dWGp1HWdyegickG8L+C4xmtkeJXIzMdxTMeuZiqRjLq2Un4njeAcaBZV13VVz/Lixnz1clG9mcRp7C/20sey5D7vxs9MBqum/8WrgyTy6uC5TlrecDKPwjlX18H7jrXdJN4eDq6ORx/wfpAXx9PFS0V1z5jahDSKNmYLy4iRamRyaSKioKbVVeJEWd9KI0ci3XWai3jvVXK+EvKqokC4zNSF3X7y797KL0ZnRf5Gnq/SZNf7iCodJ7sWpq5Wd6jVATAOh8Pz8/PpdKp9AgoqWGupkXCvtPJaVRVDLgtRpsX64w+Icti78XhMIwHvfPvuy2/e+LOz89eSZNPbq+B2JQNCCdhjGUSgNTzAQI7K7br7xkn+9y66sthIXJ6fn2MK8/In6+JmP/tEnm/YgLUw6TUPVpg0Flqs8nRSEebHfIdNl629duWXt8fXSMLwc1EUDYfD4XB4dnbGFtO+gk0sRUuIe6HpMvEHPyfipBRHRcdIVY811Eo5Wc5kMlHLizXE66ibyfOc3FQLq1Wr0dALbY3vBhtcdWiVMEJICrrDR3Pjer1+t3NlvrxpbVW2ZsNqnYJLTR3OiSKjIm+xsLhj4bUaY6ztxNHObPVsknTTZNu0prGXIuqraGQjVFVFtjjVHZnG10g7SpIkql1XyfCpukXp4h7F3o06/qkj88G9LPKOoJ/355DAH/aiqI4ZBHisW+VbJ30aURTNZofz/Kleet3Zy/hy/HEuUzVU1k7lDqDNs6drGTjKmeGHkczeiaVvO4kPRv1PjYb7xGQ88mKxoHF8OByS5eP+V6sVk780S0GQSNEszA439/+L2/p/v37WjvD09O7RyctGfE8jk6gUDVOFiFrYNCR/GDI1fHpGS2FFpmlKcsYbsr7E6VWLHh3JWAZMIel8EC4lP+cjNOTn3BDpULfQ6JvLD+9fkwZlbfBcXFf+L5vqvSvryXL92nz5Yl7e8b7bSe/fHn3U273QZGna8d4/eWLXtf3cXh35TT0Pg+KkykWdJssyJJJTmUigBZiyrCLfTaL9buchb9OivDddvrRaHTVNMCFdrdZxHKPdw31uP4Kuhq4w30Gj6SDEH62bOhnIguOn4k3J08qgzm7Ifdp99rh5eMs2zVlR3k6zbq+7N5vNoFSwNaQRpWgoI15MGKEqmk3TQP3IZYhHkFG3lYgZ4u85ZuBylTD0GpFi6XQ6Kh86nU5ns1lRnt+4/dXjyfN1vZl8gvMjusKUpDK51EoNVdcHeHDzcVH2zZ/MP3/BR01BHaWU/ry6ubNY/ShxH67rDUWFbhBjjJboFBTBf4DxYm6cNAYoNcNau1isLl/4xfuvfYgjTc7Hf/R6vePj47quUdPmrqFJVoskgn75SvhcrkX5CSFA18TYjUYjCgRGOJBsXC3jHTbRT5qC8ql59TILnsxDbTpBJ5lHLCNfeDSmx+g1jES83ongnJMeJCMNkd1u39vd+eKtutm0EDiZUOiFyohJcSLza2Ssipoj9oLgoyxL7zqR213m33M+xNGO+hUjtFhY02ph1BRUwmhTsIRjELfUqPF/VOCsNDV5kZhPkmQY20lh7q6jq32D73FC+nNC19yU4pKEUg4GpxLZLE2+nXPL1eGqfK7f+WBo9oyUG4mBgvDVFeF0wsKDbWdF7ioWbjmRpe5OtWEI+0sXPjXoPh5FSSXjg4AW7t6960XwwUo5eT6f8z7QiJDA5Qvs7e1VIsKnh+pv6bH+itffQUZ4PHmFLcQLckZr6WRQX+KkV8YLC4aFCzKWWs1u1VL71O4rknpF8PSeVy0xa/0ntgHegeaXsTDRMR8kqfpNuKgcMg431p87BolAUZGmaTaNVlU+W7x6On0qL068G6Tx9W76cOR2TEjzvKiF1fL0iZtV7ktXoiyJy7Lku2n4jJOopalIYwhjjBOFkbqutXoRRXEcD73b73UeakK9zm+syx+asKqruK4dYbuRml8hA27YL82e1dtxMfKWaKdvifIoVtYIUcVI3s8N34mKe1V2e+Ueu9AzpprN3yrK22naifzQmI0F5NOn0+n5+TnYdbfbbVfj+VbHx8cUDtvAICHwarVCL3Q+n2u10kujrtINoihiZi8RsTHV5PyF23e/sVyeaKLAxilShDmgoGiMIf6o3znohw2Kk+Srt4oHR/5iJxRFAQuUNMjH59PFS534Ce97hDgwyOPWJAFchWafCr5ZkY3WW8BXzfNyf+dzH/7QF/M8Pz8/Z6oUZAeMCyGF5nA04HKuSP6MMVSYchkpzkdTBGXT4TJozq2AcNNqS2B2kpOXaloWov9H8ETDItUgjkrSmnKnyCF3Z3t7mwgANhZmkRvN4eToluXbmmR5Xg0H14ryTlGscMaxCHNr2qclQ8X9gohz6j1S+NRaW9euqbfL+rWyPg/1yJhNOybHSUnXRlop1FsrhMh/EHkQUlSiomeFhQfmVAshBWMSx/Hlvn/6qIpt2E6t2kylsAVhBoE/6QUkPSilGb8sy6I8XlcvdJPHQrOtwQQLXgvLJhH9LOL49Xq9u7uL21MyZxRF7bRe8TlrbZYOr175pUHvfgzm/v4+w0O63e69e/cKESEKIUBSA6XgrcAekLOwLVkSBbojmUrxHr7+Dhzh0cn3aRTTCLSWUbGavbHHTloIwFKi1swO3s0KNUtRO84rXrCRQXqJaEaXMv3HyFhXzCK+jYJ/JcKM9OxrKqlcNQUMTWvCWS01SG3e4AtrBmldsVy9er58LvJxL3s09veHuh9FbyuiKbz2ymm4Mau+dCVyYYMOAbcSTMHNMSLXRJKhy4tVZaFYulLmsERRZK2L/CiJLg26D1hfLovvN82yrjJnN9FAJd30vCfBdRum1tw0Fm0OCm4g6QAAIABJREFU3xpkr25McWCWmk3Bd1pr7++b5w7L+Wq9E+OtC2NP18XNsqzLItY6jZOWDC3KUi/kwqhKJwPZyW6JhEjstBrnRYkxjmOKW0Y6PSaTidlw88xi9drh8Tfy4kjl16OWoiO/5mQyM7gin9vm93PqWKXvH1dFHT62HwHoxXFML5Tzs/PZM1n00aZJ8cFwlEjxtdZCLhIJM6WqKkB7PTBG2sajKIqipN994gPv/2wURQw+bJoGeifGiy9J1mWk86Suazp86I4/PT1VegJpkDEmF2UiBeL4bpxqPZ9aEYilnwFw2G44LBt0pJYRwcYYIgNMrbqEWNresa1AcLodCqEDSmu824jMPSYV6xlF0XJZDIfXyvLOer3EjBhjFAywUr/Ulcd1Qdriv5V7TJibpqk13oS9qr7dhCMTxtY4/ZNGxgESH2jGTPiiAJITRqVy6NRrRjJ4h5DaCeFgE0rG0cWu/fo9c32nk7iN/2bFFHTBprFoQPQkvlTsyrKsmqOyeTkyHwzNqJHOK0V3udp42ULmvpVlyaVrZPIwb0UsmLSEv0G8xqMHHnrgH0XRgDiSogPf7ejo6OzsbHd3t9vtrtdrWHWUWnq9nkLxtOvoJ5YyuLQoCqokP6OG+p/+9bdoqL915zn2mOQDv6LKT9pK0khLmeZwnHWFC4Lw05wUsTSZY2NwYASDHHrNfrjksLG1YEb+p8xSzTYSGbTkZdgYQa73Xmd3abjqWlIs1trlclmUk2XxymL1irOD8eCJNL6vyIOWmkrRHuNN3pqHH542v/xgtxe7NE0Rd8ad8PWAO1RRwkitgitELYckphDRLM0qghCFvE/SZLeX3V9UJ+vyFWNs5LeqqlaEhA3iBvoW1buSroN2W7eyjQjPMZGRaCNF0s8Qi+BvXVUPbCXfvF0NkqbvN9CWtfVydet8+uOybNZrR0UQM310dMSXp84EVrmzs5NK61td10gzDwYDYECl9WNQsAU4Aw2PCplCfHr+xp3Dr05nr9dNpdvNQ2GpCxlcMJvNOFrEy2wKaZmmyyza0dq+MvO/eK2bRk43K4QQzHS+ejbyj1nTJ40gAKKPijUEDtVGzFr07byw5EU+YqNT2usNtgaf6HevXL58GWORZRn2pRGdbg3vdOPwf0Cd1JPaRx3bDTmQSD+KIpQ/KeGQzOnVU9gflI8oBCtsjPFCoABP7vV6+B4nQiFeOLTcGnUktTBRYaJxU/Dus9kMCQUn9UIMMcePcdx1XdeVzdL9orpjzEYQsWrxom2LsVnKPHorUlMKe+oC4sNMsGl8qWomefWGNTtxvKEoc9Q5ZrWQxYyMc9I8Gy4CqIbCObG09hshCYeNbo7TRpSmaVIXIhuevr2+4JcyiH6TwGnFrpYhAfxQ584bY6r6Tln/qJs8EZp+LJRjSk5Ri3aQy/wpFhy6JhgvEVK7gY3P8jL+YnvrI1cufT7PS2qBXCW6P7mG9913H6J6PNHBwcHOzg4ELqJ2jgThJjZNhTW0XqjEuvfq9XdQI7x5+1kMt+YuRVFwemJhUdfS3EPoV0lLkJpU/e/QaklsAyxsmxepfi89ANivIKPjjDH/AddLUyhcLMi7BrwAg3hKiKncLqLmWFjjRVE4Zxerm8v8e0V1K/YX+p0Pp8lBWW7aPDSZU7fR6XROquSZw/KXHupf2t7oR4O/Ax/VomTfiNKN0jSCMPGsDLixMqZVDyjPxVutNtOlQxLtJ36/bG4vV6/0B9uD3j5vlYl2GqlwEFVVig1spXOOqB8mfRsHZpEjqcBbaVBR45J4c3GYfO1WuD5OvKnVBjnXrPM7Ljqpa5MmW0mSEopCFeMBQTuhTmAjwLQx3LAGSmHi8QjGGDqmGYMXQpjP5+v1Ks3yk9OnpvOXrd3IEfAmCryvZeJMLQRRNVhqT2sZAEvEUFXVumq+cxJ/+lJnO9lIBGBeF4ujvH4xSx7z0pGmBDwgfbrO45aqeCkdEakIHhGhK8sjTbML+18wzfjy5cs8VyX8CCcjzPCOHRlKDhsTqh5Oiw1VDI2d5a04Ngxp4rvBMaFuR45rpB7G7WOnFFytpF1Hj5+TOjeZCpvF50qCu/EWlehXYK8BD7nmGrDisyth6uOJMdlQKE1ITOjX4dDaTcWLUMbIoBJsRdbSC+QSGWkbT0QuVb0XNJBg8rz4QZocWBvzJ7HIg8StqW1GSm74V2q0ZWtyC7tppfdU6RFtsFQN4NAVN8/XqxBfHm7gASPidl4kbHRQuSYbIdTz1ffK+k43faKpsziOUb3Qxiq+KrV2IwQfdhMsoRGCoZE5VqyMarFa6y7sffbShY82G8nWpixL5GE5Icvlcjwe9/v96XRKoOO97/f7RKvKctAUUzntxHa8CL9+7qHRs7N7h8ffCyI6UAlRxUn7RN4avlVL34LyTTSR57g3MuddERJjTCO9hqAZdiMmuyTQDkJtINbgaGaip+VEJZKLSmkQa2hEfJlLjsUHLSGwMpKcrdeLVf7WfPlcHWaD3vWt/keSeMe5jVHmi/GFOeVcs2lpv31of/HB4Xay0RhrmgZWlWtVLKh6KokDQ1PJAI0gigE4bytNWrZFfgktXpwxZrksh/0Hut29s+n318VbabLlXUcLononOZdGciBCWq4Qe4RFS9MUjgb3xzmHAicoiobVzrlR6pNO9p17zSMjW5VvyxokSbJcTperW5OzV/P1IhgTxz01Q8WmW7xnjBkMBtR0K+Gp6j4yqsKLxhVS3XABVuvF3XuvHJ28MFu+cD57tazmynYLIUCo4furDwMjwvg6qaSCJRhjSKAjKT83TfP8JNpJ7dVsTYLIyi9Wk6J5YdB91DTbRuBBnpdPRC2IXVZAkm8F1EmyrjAg5+2Bq//Amr04jvv9/vn5+fHxMWQ/LJTSSjsyLJeABv7e2dmZ5gEcpFyGDXFIUDUjSuOLFTIqq5Ix1OCiinBW0kTBEpEhsQ6JvHBmAINaPMP/6dNVVYXqHhEGlSEsO4Ui5xyN2IWo5HN+QIBIqUuRUPe+W9eZ86fObWwLsWAQDmdoafeYlm6UOiEjgYuamhBCJztwLp4tn+t2LnjfYaMJOHRxnCgDqIKgF26nXkaNokyLcKQRAHEzH8rtu7LVeeY03ulFPb8ZZqcaTxgiAgsjYtzGLOf5084mveyJIjfg1XqjWe1axgOsZJ6wrjl3HKBesS5Fy6SNqvvgtV8eDh6oREtvMpnA4wsimIfrvXHjRpqmIDoM4kCZgdhLK9+1iKEjFoHXjGQA8s+9I5xOj44nr2g9gIthJINphA1lWt1glfQUss3qADjxrHIprH0ncn/sARgOl9mJZDveUSkzHDswIm6pMYYiB0YKNAYclROZyWgeL1p88abrq5nOX50unjU2DPsfGo8ed7bHdzNiMY200msKYoypXPKN4+zjF/3Vvieub5pGxwxx1IzEp0pgUSgpSHsDl1CvlpFGRiv6vCwXVr6Q1mxjjDHp1vC6Ce5s/lxVTeqqY8xmpJyRZkdWFbjSiE8FkqLKpeG/+nj9Dpi5II0BbOKFrjta1G+cV/cPNx0didAmjTF1nTfhbL584/T85bI6qWoKaaMs67TD50Sm04UQyAiJnOgeo1M+yzJjyuX61nT+yuTsqbK6U9VT2i68jLjipduK1atE/U5XmM9iF2jY0KyXrOJGnt1e2o+Nc2MCCK333rlqtvz3neTBUO8FYeVh4HhPeqfIRTS8a4TFgL2mPEYrIfbi8sVPb299kLppWZanp6ej0QhIUHU+CY+gofK8HGyEuKgONk0DisXBGw6HbB+o2nA4dCL8GEuPLN9TG94zkd3iPPCivqDOQOs63AIemXdrK2w4meYTSxcTfxULsRP9mlqmWnKWNMxlGdUyaHoX+X7kO0V5T91eI0PK2r6/FtEGHicIC12/mAZzHIkkHjvbmy6ejnzfuV67hcC2lM0Bb/AfCCclMnrJSFQUZJIf6wB4GELgHCpi773vpPF2Er7x1vJy1tiw6VkC0iQUKKXvfj6fF9XNonk58Q8m0UPWOnAR5xzZfC0NTmAqJGHE31omJKFXFKSRyiIZpLU2TTv33/dLo+H9nAosaqfT2draapoGy8lUlul0CsQVSQl8NBpRp+CoVEJ90EIAdp4Im7jKSwXtPXz9HUCjt+8+z2HlBGO8jLTfssSNsDOCkEXJe4JIwRLgW+nbNZLkKYWMC8AvkIFZ6VA0wnnhPtNxhaWupE82k6G4/IRf6MhgT04nIXDYNBKU8+Xr0+XToSmHvY+MRx+Moi7phYa0xKFBBpU1wgy0Ufrnt+31Yf3wyLvWyENgolSGlvHRUUu8g+RPsxleWmCwUtXD0uEzQquduRKp1Uga7SM/zOKrZT2fLV8wtkqTnbJ4W89XASjWuWl1fRnhjBXSqRmE1O5ENoikoZSxjjzRg9vp8xMTmrCdbBppgrRzeCEvRJFvwmq1vns++/F09oN1cViUi26371zWhlYoQXFnuNXz+fz07G5R3S6qHx2dPL1a33JuTTcgH0EpS02hF5kSHe3EmrN3is1y3rAmGiYD3s5r95279ecvhNhuSmh1XUeROTz9urf7SXTNCpOLOGxra4tnVMXO6p009yAdOxhTlf92zu3vPn7tvs8j/mmtVWU7stiqqjg5p6enmYxH4NMZHQCRlUVAyo6PhrNeVRUyJePxWIsUVnqKNK03xmh9Ogh+rjk6Tte1OiPj1gwWK/VjjlAsYsrEecCznHP1Q3BW+SCqegCkXmqcTqbdskdcNyLLJEmM6Q2Hw7I6wW3jaeggwqrULT0gBegqIX8qVmlEa57jYW0nSfYX6xec83WVNU3QVNIIfTQWHlkjhQz9ieJDemGJtPSQ0L1HvKVj2lJTFcH/eFIfJDlPEYsOZSX9GNPZaW1+aOy5D4829YAjjfHhtKitwCqu12vmitBXVgtjkTKzkUlSiYzFHgwGRVF4l9x/9R+myT7T1EEym6bhTSj9gKgzW40xf5hiCG5821oGF8OiYgeV9WOMQXyKFXvPHeG7zCP8//VVVZWm3np5Mhl6x7FLRYFQcyatFgQpccNkyUSqSpFS5xxBLpGXGvFG9KM5ZFVLzpRPB23jbfFwRhCSSKTdjNDEQUjijWLssg6HRf167HvjwSdN6Cci06eeEqAGU8JhYjVCCD5O/uxmeGA7eXxr0zZnpSGhlGajRhjh6vgbefE9Ca+CFHisVCmslFJYZ98iiaRpCmFhNpvFoka9sVbu/rR33zL/wUnxtUHnI3E05o7xt4A2XqhuqL1oJh1Jm5SqL6ai+oj7tMJa2gDjq+WXLsZ/csNtJdFuUmsvXSoDBHgWjROrqjo+ec37N+8dPZUmfec6TVM758oqr6syz/MmVP1+z0/8ajU3JlhrnXHFqqnrTYshUbOV/r9KKHbGGFgDCGqjaoGJ0ZwPQwlWqb6H543jOBj7jZurRwc2qqq404Es4CNz7+RbPow76ft8a35hCGFvb6+QoV08LO+/Wq10hhEVPis6NUVRwPzsZFf2dz95eHgYpDBcluXu7i6RpaaATGT00p/O01lr2XQCiLOzM1L8PM/JI+mYrKrq8uXL+JvpdFrKMHqFW4No/+rVdqJBb2Sql5MKIgaRe2dEjx6jBtxN8k3WG4mSXyqzO4yARpnIpHEq4ARxp5THoRgyZEX+G09TlxdHg+XZ9FWAHKa20Y0ai/i1Rrpu05eyGYLBzXItfSuFW5oy2x///cn0qaK+5avrve4+blKdKIN0XItYS7bNB8Ev5WJq+qUACaVi/CXZLefk0a3qT08WPzq1jx50jaTjRhKDojxp7Muh2Xbhuk9SrJyG4+rv9aFAqvGCGnZba7e2tkqR8LVC56ahyxgTRZ1H3vfr3c4u+eVgMDg+PobVSSGpaSnnjUaj8Xi8XC5LkX3m54DGuUyxVzRYx94RP1EwiqVh9L19/awzwtns+PbdF2BYaIklFuanJsL8cpulwkuJoxwIYp8g/TGxTH7Rak0j+i+GYUZ5jrlRbJN7y7WkBRXkMBKxrkRI5E4acp1ovJ2fny/Xt8rm5WDmvezRTnq9KN5W4AzSZRwJ7c0Y42RSvIS9/qt3QtTkT4wK5za0w1qofdxMvryG1V76lvSDqHY4meVbidqZEZSPI1WLBDnracSyGHEGVqQLvfdNY03YTuL+fPV8MKUNwxA2bbyZjEQopRMUu4NbNUI+UhjZSY1E0wiuMappVVWlkT3oRt84Th8aNC40HH1uvhF4SssS+JJmU2Ip6ma1Xk/rZm1MWTeFj0yaRk1TrVYLY4KG7bTQUSMkONDkXrlRyuUjE1L4vZLJpaVMnbTWIjzGIjjhpDxzt7DBvn9YG2N6vd5qtSqLfLZ6xoQkctfVC/InTJMuZBQDpxfcNZWB9VbIOLgH/HSapkm8e+ngF6z1WDSOBOkdjmc0Gm1vb3Pa4TIARuFE4c4gPqKNzLjnLMvg33Ju8RCc+e3tbQ1flGdoN7wwpyUxzGskTeWaGnqRaGmkG8FLb49pcUy0R60NwbV3PxayrtYFkA7XZ+HyYnYjEaGF1UVK3etetm61Wk8yUXAkakRGVSupXBAsFR/kRXFJvYiXGZ/Ouaoyu9sfsMYt8pfKahaaQQib6Qql9DloOyNRXSyTHKjgYG1Id7ReCAHYtQaecAGXy2WR5/eNu89OOwcdY8u1eXtqW74uXivqHzvzvsTfR6yvxSMFP2op/xMQeJlfwW6ypGD72D2tBJNI9Hq90MTXLv+KtT0onZCQsyzrdrtw1oJordXSiu2c03UejUZcJUJGfoi5y0X8MhG2Ktpe4/GYjPbnHhq9e/etO/de4KhpqczKQB8nKLwifooOBelfAT1Xa66YfipjCjTGb8enkAy5IaQvegnJBZWkowB0VVVAMepUAC1xrlVzVNQvOzcd9D6YRNe97zZSIMGcaUWzkHaLRvgOShx9ZmLOF6vPH9gs22gP4mW19K2YZyE9Pc07lc+0tGaFwF1Jr3EpDYhNa7ZRJRO6gwz9KITx30jZUosiJmSD/oN5cWO1fi1N9+KogwK92vRExIWNSAUGabfQXWgDAFH0NmNIC5nOuUFiTQjPnrr3j31dV0o7rESzWGFJfSiFgtVxKgClFIAgOnyxNL0YY+goJ21ip4yopGqhDleEGQpSufEyJ4jLXEpzCOnIjVn1o1n0uYNQlzlT01brRVG/aELkwnXv3xYS4zvEMuk7F8kVvmclMtCa6vG8LLv33tn+9tbn4jibTqeZqA/zO0j1Y2IYbAuYaUUmJvl/uHuzWFvO60zsH6tq156nM9yRvJe8pMhLUaRMiaIkUi3ZjmWjrXYHVoJGPzRixG/pIECAPMRIgATIQ4J0XpyHIEGQqd1Bw3G3O4YTm5FFSRQtSqIoDhJFcR7ucM49+5w9D1X/kIdvr8XiIJq2KTbU9SBcHZ6zd9Vf/7+Gb33rW9Q4W2UVce6CJDIQnxPnQpMMU7VKXVBrB8eLgoI8QR0IOJWMrxiiTZakG8lRUdXNeKJIcArOKyNpBCb+arVaAX7Y0PgwAAaSWFd4FiEE8mMspjFmNDre3bm9KI+Kcq6oB0lSb76g3q1A/B0hBDN6BIH8XI9gmAq/Y007S8+V5dGqfE7GRKkGPo13o6aJOgh5HUlQwfHEGFFdgzvEwddEjMKLCCHw8MtEy9zK7x+pOwapVtJ7v1pPlpsf+LDKzN2J7bIDY1gVUQgWH8YEifhwOJQ0RxACLgxBeRq5g9uGw85r3X7382WpAXh2u91A4uOTyQSeDHH2YrFAXxPCEXg+vEFsTsyWgaf33uPpEN9z9RebLRC55BfeEZ6cHLz6+vciSYNic1T1Kfj0OhrsB/OHHZOQMK6leRFspPhMbpGBosDrL2iaIIo6DGHHimwB3FKk6h1C5kiTJB2JTCLHX29ubMpnnTus1y712veGkMJt4Hc4h0PF2JJYlKYiB27GWvvccXxtUn7plG7kWUJTKSJNiuBkhXEYSUXNWNGiROhd0CBWXjRLFHxFzCOmMzBWzPdpaJwmQz0laTyGIOu1c0rp8fz7IQqt2ohe4X4QmniaiA0/Bx/DuDe2bAgB3SBCCBjc9XqN14ftPkj8tWW8tghncsFZDhtrNjd4WXje9O1SCRzfVFPPghqe2HzDC2LLSRpVaIxBA6Ig9J5zNUG8LQTOzGGW1PhsrS2C/OahvW9YZqEAP3O1XqyKJ4XMtLgkxLYSg6VGlQ6fD8EXLJGiKercJsX5NLt/EdNh78E8b+NzQNBVatt2if0JJi1WCcVOU2nrLmhqOYOoSIIlqbjhVXa73WazyZAMl6awAznZkkQ3dUTz4yTDkFxRFdVgFyIoz+ANyUidIs0UVaFEcWGipGEjiPkUKTIjZsUYNc7zAIrC4KKPDSyM4+OTXu+WxeJNIR0H5ZrInHBCCDpxoFAMw1IgNkIsi3vGgxgaP+J9rGX7WnWW6+c35VUtW2nawOrBtzkaeiOI+7OhYSaayHeKiOKGhiUBhy/LEsmWJCmcXqbHwV5dx7N5nC9eXRVPidDP7MfSNEdwgyWFcTDU0OKJn4+j1O/3EVjg1APbRAQDhySpmog1abf2Oq3PSpEiyEArDpYCrRE1mkovhNjb2wNc4Zxj+jEApA2NhzTGgNcmST8ZnBr8Prw+dqYQopo7fljXv4b2ieuHzyhqJGIEgCtnDH4KYpfxvsH+Y4vPuQuWePs8WgPcwJLhjcJFuYriKKd92CXZVgJUYyvwEBz+fWygxerGpvxxiNey9OZO695GfcdTo4UjEUtJQ5cY7OI7V0SEcc69sZbPHstfPW86jS0VaD6fI8+w1gLIkiQ5CDFM+Eg43UhosKMWV0fSPHg0fC+sv6YSKdYKtwfgEa/AkrIXvwicAeYLJEk3T08vVj8t3bUs2ymLrbAvjDtLFhSkFyyEqNfrMPRs9WBlYC/waFWnIqW8uZN870hoEZtqq7RnSGasJNVQ2Eqgr+yAHZHZcP+OiBJCiJSELpHBJEmyWq1QWNJEjgDMwA0tTCdGSIFLVmgFnCOC4eKce+xQ7dr1+TwaYzqdjnObyewxa9pa3KppIqukDhCot6D4BDYdom+UVQwNVBKEXTuaflUUcaf/UJa12+02aH4wW7u7u3AJIJpnWYZ0EJWCKi6HJpZIeDhezboyZROHCA3OnCQxPZtDH/YKIBkGahtAWKCoN8lTzx+vniBKZEFiiowASxJT9JWBi4wKMEBdfdEAHlutFm8MfJejURK4f3wIOHfr9brb7a5Wq8Rm7dbNR6PnpdpCnY5UIPDImmbFwI8qKnaWpMeG7oJI6mWwJIIKLrWsndozzm2WxbPBF0Z3wNjkRJ9Pt6DyHohFTBvBhb0NLAFLjaUDyo07OZWV146fV+UTIi6y5M5ads4Yy3SkSPJpgki2HC8iXObUH3ZjQyKx2Iec3BsSTsrSwfmzv7ZeOSEEJndiEYCiw6/Dz1lr9/b2MPc70oQfxCtMzsJSoDaBwx5jhFA+MGEwxWA5mfZoiWbxYV0ftSOcTA6vXn8KXkFQ0Mekkkj6ZwUpY2Fd4BpxNhIS9YATwlIy3UZATI+07PDKFY3wheFgq82WuqCxOIJKaGWlI1tKGeVqOn+69K+k9nRq7zS6o2jsg7UWA11DCKDsM+yjiVESiCqG+PRGob5/IL5wSnRrWwoWY00ZjaYUVBf01HTFQQCemiHHhPpPmLssqBsJT80a2QxS8QnkiCEQaU2QzK4lbnTcMlFNnp0LsVhsnklsLbFdWFXvPcixnkTuGdi0NJEY4QVzVnFjWUUme5s0xHC+ab5xTeymvmYE14cM9Zw5ksiRxL0EUBOJKG+I1oSGJE2tb5xbwGQDGExJ0jMlpS7kgoYUrTjYt0RCFhQ5+UoZ7IWZOpwvPtEJWqssy0IsR+NHje4YeSteR0ozd9AO7IjrBEwP9jSlSchMnBGEagA6cy7u73yx3doHC8kYk+c51Pr5pccYMVYC26bf7zMQil+OMaJCw0uByqioiIOAf4h9UhKtyVck8iWJYgvK6ri1CYsjCbeX1ATiSSLKEHdMU3sAet5LEq/BL0PKtSBpCIZVNXXjYPwI/utisUBMBj8Nmj6+Av4PR4BDDeR8y+VyMNjN8/2j0U+M0fzJWHZ2G4Z6RQwJHcSKTkUkZfBAk3AiidE757wPWrVlGLpwsC5+qlQ9hhQWA5QQfGmj0cDb4WgeOwRy5Ah/UZTFZs7zHL7fOVe62Wz53Gz5ZMvKZ2Z3XhhcTlSKSCXGiDq0qowWwX3yScRP8AqA2QKnQRi0BXuJNiEw4dwOd/oPzWcrfA7QHU8amXjL4NcAjEUPN7wpwFIsIN4+glrcG3D+QPRs+P6TkxNRgUYsTZ9NftH7CA8OXn/z6g8MafJ6alWxJFiAYB/HoGp6AlWwGPYJNBjIkOYy54hJkqBlmLH+SBMgufxThcs5wITJAwNqa4hVMV89O18+p+ROK7+3nu9L+VapFsQKSfUSTSRjSZ0PgiooCGeKoph6/d0j+9C52m5920OGEAy/D7PIxQ9eJewqUQnnLanYlKRLxLkLNjcnE7IyrIOjZk2av/CvxpiC1LB0RY6HY8larRajULKdmOGy+EkIJ1myY0yavL3zEnWaGCNaYixxg/FQeBwEnsiuODjd9kFH10rlt6+Gfb2SYisziFwWgTmHsSXJKzOuEGiWDd4jv3F+xXwDuCvYRDZkIDVg0TgzW9OkbGQJgTrPuEpxuCifOHCf3zeZkcYYIcuTybeTZKeR38ljcRKSoANoWVaEVDBYQ5DuBm6PbQrChWazGYLYGXy+1TiNTYI8ku3UZDLpdDqChidgM3S7Xa31eDxGnz7yYNDB2MaxejWMEZIDRtKwGshvsJiR2kY5xJQkMiBJ0lqQQpigMNfQrAyuhjA6wgdcUCKFc4dgt/oPQ2MuBJUtdUW0Gvkx73+tNcRmEezqCuMG7xRCAYvFotfbTWzv6Ph5a7eBVKzMnd77uRyLAAAgAElEQVSQOHskwRf8J15kXRneyTsckQHXVqxNReiJkBXupz7e0DpIaYypKaW4mgADiIASy4v/VMWckesHaiAu3MGm/Om6eDFJBrXkcp6c9TL/4VG42FbFZgMylKDeRE0Scfi/CIlwzNFUait1d+4dgu/ncFwIUUv38uwea1PYaqirc2EIMC9QdOwo/IRpaKy4hhORkrIYdjV2YJqm2ISWtCTxc3wOZ+S/8NDo8fH1awdP87b2xAP0xORkMA3wMSouqkLFRsKniNEQK9JrAEId6bEV1A3K34J7iKQQndBYA0HtPpxIaa2Lcj5b/Gi6eEbFrgqX0mRojGX6ciBudJ7nMENSSmg640hg87FJxTlcRf3odXnPQOymHi+b5ZsZDBRCAChgRIjLbIpUyAWJNsF/OBITsJUJumzy2BjhzrlnyJGECscTJTHxsLBAF1noC4chsfVe+/ZNMZqvn5Wi7p1l44jBfnAVplJp5yxZkNo11/bYdjDhoi6dN8mPj+O5mosxpGnKUyEjIZNctIvU526pAwTlLsYYsorOpybCArZBQVqs2CfOOTwjXrExhltZvPeQmBJim6fiAC+K8M1r4u6B6hiXZVkUxWT+WJqcbtXv4KZv7DTwYkAB0CTSiL0Ny7uhSdz4Fvyt3Tahy37nU438LJ4rEJ8L+ceaRiWDCoSmWDz+bDbDVp/NZuhWBh8drxgKalxqBZ6BfQgQlatxCCwYHw4VtQRGPtiaRwLtTaUUzZkTwyR4a8YYNIcJKpHCB1siUnGvDj4Eu5rNLn8mjAZ8IZwi/AryeM6GGadFoIxf6PX2Nxs5mb6KwZOaJA445uAFSUnEEWAG4xmcGkpq+hJEXxKEbUpZS8yZNGn6MFmuX5wtf+LcVMiQmLrz27ni7Hg4toOX4vqOcy5JdJDXl+unQpjUsvN5cpdWvcRmSZJ0k3hlKQ9XcceWKcmVGZovb4gMj21vaLwUgjNB2SGYLBsay4NAGeuvRDcxd6VpDSswGAwYnsX2xnA0hq8FhUTojuB2Eew3fCZ4MYwi8NmEdWKjjX1bliWKRPbnQJb5qPsIOb2LNJoHq+O9Rz+mp5ZBQ+OkGaZg/IcZ/FAZYPfgSYHMVAjQlsRF4Sq4fsbRN/wBtsUWwLFiPHt2tXk90adq+tNCWm01DgPMExc/4E3xjp1zaP/CIdGk6IE7DyEsNu4bB+bu0/VbGw6OH7BVUpFvhx4VEAMEttgKKH05mqwEQ6lIS8Lat85wJLweu1ORRCrHCpwJ4Y0sl0v0FCOl4yhEk9ImPgGWHShKUZT17A5rdqaLHxi1363ftVyuhBDNZnM6na5WK1Ta4WDw55j4o6nrI1aUpQQ143NAc2d9c7hIf7TQ9+9tuYIA/ZiyVKVmoNjAXFag0yEErg7GirYAG3e4YaUUi//Cf6C6BrfniRMEeA2EN8/jBaT6xtVwvqlO14IQuijn8/V3G7ULjfwS9okh7r6nrhIsQnVbBqJEIU2By7Q0MF1gNmHtzlp2htGh+XwOJDCQjl2z2cS8Kl5VpdRyuRyPx0BHpZS9Xk8Qfg6ih5Sy1WpZGqCK/cY7DeUGHCtJtVJeJUOEF0XEFk06GPiJomZzRWQWxhVx4TGTiiqpoAzSVzSJ6vU6+Dsw65aY1fwtuNt2uw0eEwIL6Ck2Gg0I5WCS82QyCcTOdc7BjmNL3Hz+l0LYTGZPaQLesflhstFjjp3P2S3XzzjIZnJDJNkadpmORC206jfqZ7z33i/KcLReXztYPq1lQ8puYna8b+HzrbVFsVDarTfjGAvnVy6sZXSlX26WN1I7bDfvrdf2IpHJEecl1j647x9+rXjOiTv7nmOvTUVCC3gm3q+1tt1uA4NFvIg3ztGwIw6RMcboQbtx33q9pbuDF42aNMdVs9kMlgQnGq9AUBMafhMvDu0WzjkMCQmVNk0k03x8cLfIFhAWlDRP6sO9Pvoa4Y1rB095UnDAtg4hQC6PYxNQwLkWGImLiAUyJO6O95eQJC4CK7DdfKXmJ6iZD6+Zdci89/AKHPfFWMyXz5/MnhAxzdO702Tf2pSjHv/2sXOBujtihUPIP2ebu23RE+qRq/5cO7lnxyD9x1fneV7SJHfONgKN10DMhQ8Eq8JReymH25KqX5xnI7TcbDZI0RKaO+9ojq6pjAtWNOc9UHczA0G6oluNvDySUqLWWqs8M6dXxWvL9ctZuleWW6EckKcNq9WQPKCn2WYFqRjDvHJkjewEt3o6j989kokKTfXWvHuuK8BJVC1mqIg3aqIgIs1iWIyx37Is0bnPoBl2CJwEQhMhBNACgNVc7cerCTE+dj00jLy7F8uyTNI4Wz7eql/Ks4vw1nBF8P2gWaJNApunik9wcMMUaFwwCp3WHZ3Wnehf5oIf2xf8FZrnQIVNaWYWwDFk8zzagiljEL9mBC+jOUF8lDTNpsbPNzQ/nRki1QQr0NQXzpNwSEWFcCsq8qochvI/Ao1G4l/jNAt7EnsGaQGOtidmqSKRJmYecErH3ws3zNSBw8NDKSUyRXxUXttZr5c+jAO1OUbib/OtwrVjb/DNG7oUMTPXNBsLtlsR5RI+m4qyxqh2DH0pzmhVV7oo/eub8sV1eWW+fO5k+vRi9cpifaUojgo3i9FZm2hV06rVqt/RrF/Ma11Ux5EeKVJIjsHv6M2zMxmFGuZvDVbjY25pxqqqjIICFFlSfyF2SPV5s3SvmX/S+4iYAwVaMGJA0x2NRjdu3Gg0Gt1uF+ao1+v1+31PYqpMo2PDhaonRES5zM95ESwPx824W02jgNXPQXT7o84IsWkC1WzhigSJqOLhGd8DesPpHQ6zpD4hZnahuI2kivUYDc1ixYmaTqd42YjucWJRxQUkZYwbjb+/Wr+Z2P12/llrG1prGC+G2hS1wwdSOPPU3oD74bwThhtWQAjhY3z0atlK7J2tcj4vkbVgW4AZBcOdVGYU827gRDYS/YSzHEFlIdwh/99Iw6eazSbySPyVEGJDs1XxCGyngEvDMS8WC/gk1FGqS+2IgR22UqW2Xf/0bPnT6eLRWnLnZtOz1vZ6PUY22DAxTgtLDRwP5gkHMoQAuRNcqfZf2o9/9kaw+/JUGvDLAG2Q0GRZhlPnSC/Y01g1BFJrGhduSN1UUIuYpBoDJ1WwCEj+WPYppW56pJhcm5RSPn2ivS8ud0sh0jyXJ7O/bNRva+QXoUzEfe6KBC0dSfBwEoNtwxEh6AkccmH3tlsXO62P37hxAxQYpVStVkMbMgjGgsbWY03q9Tp8JA4XjFSv10N4zsuODnRrLfCGdrvtaPYe1g0waaRCLDfy82lCfIMTDaPPB8GRnkMgkXcc8yoI74nGhUVmxFVT072o6IBLmqeNf6O852jIGvshQe1u/LccUyJ2YaZxs9ns9/tHR0enTp2C0ARexLD/ySvXVlJehQ+o0p6xS8H7ABbNwaKi2WRYAc6w4T6hhweYBMd5Pp8DAMBuTGyy2TSs6rZad2oTNptZsYlCWGO2mT1zGnAhvNvQrFNBkCb22Hw+T6x+cN9840DZUJxrbbsPDTEHsQfYPXvvGbyBhSlJ7oe9YLN+ptP69Hy+hHVF4I5krtlsjsfj0Wg0Ho+73S60QEGfUUohHRckBIHYq1arYfgJiKNa6/l8zkYJ8RxycUXAoabOMQA8sCEfumP66BvqX7t6/YeBJrZL0rrVNOovUhEVJs/RYIFAM/+wCthqs9mM21wUlR+AbnFBgjNrBCA4QhlNG9lsNkqt1+Xzk9kzSjYye9nqvVqtkdF8skDDtbFvQJRKKtppzMVg62moQwDmJsuy742kzBq/eefQmG0qAPcDA41HQ9aPL8KFn6C2jA8P1NiEpYMFFEJwhlHQlCj8AztyQ1OoykqPHYwIG4JAsxcYXeSD54i/vqY5ONiXeNIkSbJ0KEVnVf5YqIWSXQT9bAsAwvDOViSIY2mekaoMPnTE7tFat2rJfq6+fi12a2qvVVNUAcVfWWJyco7Lrzuh7m8+flVnA9qIoMKVEIKtKhPYmNKtqFG6pGYY59yPRv7afPPZXdluNqVaj2ffaeS31Ws3I9hHmCJImJE3akKiyeywOaPS1CxkqXMxxthpn7vl5i8vFkshBFI6NGxhX127dg12xFoL2wFxLP/2AX6wTXjS0WhUq9UgJeq9h2oaSKfwJXhAvFlBxXghREZChuxvOMTBxYnXhqaS4ef8yiwJYggimjKega2rK/3m4q262lsSjJzlC4qfqidOUycMl5/xHtmViooW8Xq97vf7JycnrPKMKFApldjd+Xzk/ITLH4IGp/iK8mIg/h3iJ18R3DDU8LOh4WWORi5jC3FJheNCwz37UWldA4s5Ep7PySioNNUmXVQuuHuKebZahFO1+MTYtutZy76FoMQYMdVWk4ovAA8mQ8EXMnwipWw3zw37nxuPpyUNcSvRyJ8k7XZ7sVhcuXKlLEs0/OGCAdek6ieoh81QXxAY3agEcxnI0KSa5XKJT8Pxwf1Y6rLjY/sLXyPE+zNUwsVyYItztQyJIAwTKiuwpNhGqKLh5wgiPPWlAR7RpMkiCXxjkKekMZ6gJpf+aFW8FMKiXrul1rxDxO0E2jRNNyQwaInaWz237IRKamJjYguT9RkVfPIwTHzy9y9ky8XcU4O2ouHXsqJz9m5LwVUH/CdmvuBmEHPhtAghuH8xIzFu6GQikkJIiwOJr0CnV9XcJEmCVhDnHKgEnCwmNPmMAQpZ4dEZ3W7VHlgVP1qV3+u1Pl0WBuYD/g+vjKMHvEeAkxxGcNKGkyCEkFLu1M2XToevvVFaubmpux1/o0nKGY6H40rcJI84sKQyw5xsWI0QAtImRQ2/ngi6uA18i6S2DV1RrZNSXi+TK4X47L6s15Iojo+n32vml43a5x4VRW2OipBh5GGy0r8Bq8r4m6QRu3j7zrlWa+/2S185OZ6u12u8RKUUalohhGvXrqF/K5AijCGOq6AAHNUXQyUxTEbFEMGiKKCjNhwOOXrAlmCIksNT3qKKyFaS6CH8J1g3uD0u+3nqyuDXwcuIXxCkTGtI15eLUlzcqpI+JI3+wKHADxEE4HRzasiJOOfW0NiD10TKvru7++abb3rqNer1eovFol6vW/uF16/8RVkeCpKhAJSCQ2QreqS8mXG4hBCInpFP44ZhzfjUo3zuiKmLfcu0mrIyMZQrF/grLB0TufHDSKXT2WwmqOUMP2xr/YUz5utvrOWOvrSz1Q4FjsLBNFJeJlVoYhhIKeHdO63zezsPrVZbFgIeCt0pUIG5fv16CKHZbAJAQgGbqe9Syul0CrODB1kul0Dm8GlIEnBvyLyRr8MjRALSmS6OwAWH60N3TB91RnjjxpWDG8/CWLDt46yLzQFnDIIo+Fyix1kFNMQJDbNsVUWEhUMnlsAnHL8cT19ZbZ4t3PVaeqbTvE/EJkVCW71ExFZpRfhUUTGZfZIiWXRRCYoFVX1Qg3lhrl9cpb91S2bV1m+57USFLakyUGVutVpx4CypuRhLhF2Cow5Dj1Y5HBhBMqrYXpy0CcqbGRvkXLBaD49ExUSFiYEvRP0c4sF/+LfraIiK+pTWJk1OBS8m8yeMSer5LkJUS73knJlhZyekLhZogJQkNAymHGte13GQxkeuq24SrN/AUJYkz6+JpxCJeA2CFQJnQTWqQBOU2Ejh1xRN54hvJ+9EIqYa6qzAUh8W6vvX3ef2Y7dmpTk4Hv+wUbsnuK2sBiN77B4QBMQYwaLCF0EihAFYBFtg1iFeTtPmxfN/t9hsUZMkSabTKXI7BIKbzWZnZwe4FgJz9EiUJM3MGTarNMCPCiFmsxlMc6fTySqjzSRRuiw1EbIl4ncXiNTAb03S7AhFukiMwkViNOi3K8vgiThRi1QR5P8NRB1kdI4Xkw+jp2JwID36SDJGoH5sKvpTRUWomsWeICAOmbqCNPQFhkMle7P5gVQbST3vfAOKamko6Egq/sG+4+wgqBKU1+KpEfDh0xJSccLXBaKJIZnmUNWT8AovI/PkeUsztg9zh5wMaxI2y14SnhinHVOmcktc4FSBR9EBsWcHiVB+s9nUa6c+dtvfazbb0N211nY6HWxaODbUdDqdDmAARGmdTodFZFCfYoNT0iBVRgjgbvGmcNYwL4HTbkQGkcariYp634deI/yoHeFicXzl2pNCCGCMOEg8L0KTZgrqsSUplvEpxU8SGuUlibfpnOPtjk/gggenUyGEENfj6U8msx8IsZDxjJG3NOp7UirgGIba51lJMpJsBAw343L4Fi6EIIVisAgfkmXZKwvx5A35mzebmo6IlRIaAuy9h0UDCIw0zlMXFKIqTRVQJMSRtKagXKqJycKnNFZUENmmqwpVPdBcPVQv8Fc40po6opjQj2TOku6loRlVisrdVWsYqF3amo5Rw8Xmee9Hzca5YrMd3cc2VJDZwpLCxzvqnXDU9sc3aYxpJqoli2+8PG7qkJtt2MR3haQKGRKjeWxSNbWWBlI/KWj4uCT6jCfiH5LyknpFcGg91Z5vzN2jbyweOGVbxm3KH63XN1r1+4XIUxpijKMuab4gADGk1Fwew76CdBGsAzYqQIj5fJ7Y/NyZXzOmgUoSDCVTwFar1fHxcb/fB8sAVg9wHNBXRf158KxYWEt0cwRP8KCYOA9bwxSYpCL1J0hMpCC1uYL06rgMwYapuoyMwUTSxGJfKChKYB5ArIxMYbfBwJ0jsVlGPnAq2SujjAcjwAYEIR3u1hBXAPmQIyUmpEQAhyKJ39I/kug7m+LI+QWbXUcasJpoRIHG0DNsLkidn7d0FWx01NaV0BQhSQ2+2AmGepxgEySJy0citUmCdpHpZhX5+6IokOHxudZatzJbi+vvHfidXMZyrUixlqmegmaJMzQCc9dt3/SZT/+jdrv70ksvwV1xXzKKnZFKdxBp6na7Sql2uw21o5KaZxi7wtcBU0V1UJFuCadAvG4MGFS3BLg5qIaofwNEt8fjw8OjZ5EDCSEyklItiRWN4i3G5GY0HgVYH6A/Q4IXnDosl0uEJ4bm9zKppNwOyVutNq9PF89MFz+J0Rp5s1E3iZilNBYR8Bq8LD6Kk7MYIzSEqoAP1/BFpa+R9ytyx9cmm8evlr9yTtfElhQqUIdIEkvD3Dk2xD6DF7TEsVQkCQF7x9gUWmuRnkqSRuP0FzfAvl9QGGFIs03Q0Y2VGqci4hmDvczgqtVqgEm5LiJJOlVT8wM+FshPs9k1at+H8Xz5bKM+TGxTVlRSubwHcoqkaiJn88D3EGZi8JAQoq5Dq2a+e0PuNYwJ2895B9cRn++JiRCpKUIQpqSo2ySSMBueHfc/nU6xu2CIocYiSK5lUYqvv7a6uxsG2WaxeSKxjWbtXiktxxmKJFQASwJP3pCIPld/N5sNBiiCCck7VmyBbtFrP6BVC0ktoLzxeGytBV9mtVr1+30ohqRpyugftLMTUgCA10TsBR+AUwb6TAih1+tp4lVxlAB3ot/e0LKhwTeSUJmq8+MrEK8h0NwV3iR4HRy0KaIIcUKpqNGzCoco6lKIJDzNe5tfeqjIsBmSs8jzHIEsOoWYUSIqTbSomIBP62iGH0R/9JZIrFzZ8uHYuWUg4Q5Bjs2RvDviXXwmywhjm2UkxsvAL6INnH0O17AzAW574sFyTozXpyuDA5nMgtAEx4RLzhy+M3g4aNa0DN+/XtzUTYwUjD0ISrirIBy+IjHDe+7+d41Jrly5guqJrtA10zRFNRrTV4wxEOTDjuLfhz+ONE0WwtycEwui9XGCiBfhSHsIxg2WHC8d1fEY49LL1Kj0F501igKvpKJaoBnQwKwcDQTHv5FxS2rPZDI6/hxmAgELK2JEKrkXRbHZrIvyaFNeKf2h1b3Unre+452XShnSlAEqAj/EEV+g4hzsFAM+koqOXA1GgIbYHHsUv3Z1Vv7ltfDAvm4qb8y28M5pCtO4UQCHFgMvkabGSqAWKemwYJXglTl6gDUBgInFZKI/voUrstiUnjQVsbx8Dksi8QYiLGhiHgkhkHAAeyxIgEpTAQnFKtztVuA4byh5ObU7k/mTWg8ycylJapIwTGz0lMYmIJvn8ieUCfHLGJUOD306Tz45cN+4Ih46petFYYzh5nQ8zobG5UiSEq6mBYH0lANJqUkCvrAUiqi5IJ6AcIvVKIV++LX5pbbYrc8Xm2fajdsa+aXNZqNIjRMLhVQDBztsWbXbi9k32Hih0pCHk79cLoui3Nt5sF47hRLpbDbb29vbxgH1OsI+7vSCKcScXhgU5JQwczA9hqjCCBSgLwOxTd4hkrjHknQpA/VQayp48zOqCkHmHZcnkg7vH1yoKlULqLDjnnpaeMOzA2BTXo1y2B9zxaQk+VkkhVwMFkJ0Op2TkxOYhZOTEwiSYQ/oihZBWZaz2SzPcygPoF9wMpkgOk/TfLm6w+inhJgxAhSJlIDMD9U7ZHionAXqSIaSBpPOsCHhHWVlOiOeGo6Tmb2RFIkR3+iK/BusDSfocGaRShWKSNqSGKHOuUv9zKvkm9fKh3ZjM39LDQ77hC0tjGct27/1wm94H4+OjkajkaQBzkopHEa0Hh4eHnrvwYIBfBUr5XZMXOJ1XiwW8HP8LIZ6BBEkIdxBJIG4B1sdT7dlhHj1r14t/69X4tevya/9uvxk48PzSbC6H3Uf4fTo1Td/4MoC53lDYx/YZCOU4LBdk7Z9QXMHJXHAELAzuKRpTqYxpnTj8fRHi9VTQSyydKfTvKeWnleyHnzAGxJEaeOcDFavLEtWUkYuz6EQPBMngo64lMYY8OzxaavV6mTlvvba6r4dc7G/7UJTFfoMQ+oIxyBotCGhW1NhEloa0laSXGq6HYa5xZSqWSnDoYqKgvhPSA40aSwhY8DGNSR6gtSqJCIrEtCCZJERVnvvT05OAs2REaR0w9iRJeECrGGMUYpaas8W5eG6fM7aVi3rVnNKzgur2FG1dMQxPqfRu628lqjHDvSZPAq34dDSkhwit7sZkidVJFsD9MmRPDeT48EoFkIgwphMJnme93o9GBoppfPxz15dn87lzY03N+4nefLxLDnDPGQsGs5z9a3BSMGkciE2UCM2AEmsf0qCAK3Gx1uNi/h9vBTQZEIIkC4SlFcxngbgBLG2oVY2BGdcRkKGipjg+PgYnakcIuCKNAA5EkhoidaIU1at+fEZ5Iu9miPSb/W/ykp3WiQypCbioiQKNFY7oZ5XnDhG1NkOYAcqmtfG949V5VegaHgsR4QIgLAzsSu4lzcleQrst6IoSFA+GrVT+ht5vo1dQKvO85xRYklQrSSalSK2VLX+F2NEFQAbHnUBT1QdvA5Ps8nwThnIhcgUTlxVzEVQNxqjF9gtMCOoLuFUDmtq4eRzC3OhbaJ3sKtc7kWAWJalloPzZ38ly/LNZnN8fBxJwT+EwC03igaGS2K94itw4pAvlhXZivF4DE8piH+LHLGKynCRnpNOPK9SarQo/p/ryX/xlPjHj27GhfjKTfq/+7Q6nf/ia43+wdMH33rhh7d2jJLbQCDQhDNFEDbTXmDB+X852mL7KGnQmvfehflydWVVvDqdP71Yv2l1t1G7q9W4LUuHWm2J72llFgGKcAjTwDnk8E0IAZeDTD8SGd1QTV7TPAdsBVeRUV549fCb4c6uumN3G5tH0uGNBEvmeQ4gDtQpln5gGAT2muFZQ/2wyEfD20cSBprjIUkipEbTM+DnOPuEu5XErwt0YYvDZ3tq+YqVWg7uAUg1/hC1AU6nAnUyBRqWhkwuTWu17JQItfnqaRfmRvVCiFyEQ66G08v0B06dmZSrSAlaCNHSQbvl4yNzrinz1HJmz5ku1lBQGsSJsqLmBFgovBE8FG9OBBxISRGYCykfuRLqcn2x/pSLx43sviztOdI08ESQUSSqiQ2Gv4VZ58we+ZCh9i9FKmtoEzLqfL/7cQZvQwjD4RADdxqNBkRSYDK63S72PNiSCJwjTaaECxRUdMAsGwQfo9EIXw1LFIhtIagXkI8Vp1yamIRYTEV1aHaKssLJYhf17lOviBXJBxnfy3EJH66qa+TyXjXRZPAA68lldfwEEAsOL0gf/X4fTiuhibJpmmIOrSAtJDxXSkMNfUW0yPvoypZJpjFuXzpXUrilCnsgo1nfHK0ireFEDf6J8+ZITVx4KRzB4Gij3MNYjqB4AmcHJQMGD+GNcKbYU1ZNpRBiLxdjn7wwEefrMcZtyYC34nq91vLU6f0HO50uQodNRbIKaHwg8nwgsXtAmmguxG1zmWa9XsMOJEmCYWGuovMMLx6obQxPx6C31noVzR++XP7nj6/+kyfU1Ou/d07895+z//6d2T1Dk+ktwfADepwPeH3U0Oivn5Mv/jT55kj86inhygJLRri8jNQJjl9mur+kCaiGWE9JkjhXrDdHm2Lk/EnhjpXQxvQa9b2Y3LxayuilTDIGTDxNx45EIsUuwVtPkgSNyag2c10H6Af0WeA4Nc2C4fIh+60QwmwTHn4zfKzjPr7XwIEvSAACjwMxNhaBRCoAAycqMhwwASjn4JBbm9eydpa1YkiESKRMRQw+rBaLkTZeysL5JfY3PgFbHOAhGhVardZiseDGeU3d+kKIjMR8pZQ4upxoCjqBgqi8QohmsymlnM/nzWZT0+QpQCI4lkVR4D8hs2m3zier/nz1o/H8G7XkzjTdAdoJDwHqL6MigHZjhbihlEL/EzbJ3We6tbb6+rXyy6d9U0vkuIxmW1JaxzIy953xPWyhSI38CHGAPQIcY/eg0/xbb66VG19q/UDERjO/PwYhCMnhOBr/wE5TNEcaC4u3D/PH3HdJqoGaRrRrubs7vA9bq5rzYStCPwxlQkMz4rGB2eRxjZmNCx4KeW1ZliDdwTXC3WLLAQ021CDI/w40N4N3oCJdIfZMfGbxve+DnUaiX3mSEuQ0HfbRUqOYr7TqC9LTZyAB3448CV/HgSlijkajccKWpLIAACAASURBVHh4KITodDrdbnc8Hs9mMxS0tNbtdhuJTrfbhSQbtuvJyQmSPJhsvKxGowGc35Wq1bzXmqeWqwna+efzOfSm+RFw1hBzwEClJLiPrQVWjiHxlGppgxVFcB7xa0zAAU6WUPcXTivuPKGeVIZSUDxGtYh5KxwkfXoQHj3wf/LK+jP7ST99qzYcY0zMzbvDX+r3B7BROCAwbgAkwMW11G6BHQKgnjcY9ht2PmyXqtT2UuokhjmyNH9REblGCLHx4o9fE//0heIbB/Kz7fK3Ltr/49fqdeW898a8NXfB0ZiOD/H6qB2hK1ef6k4eP649cl09tGsU9RIg20A6H6hfDTMetdbWmulsJFWQolhtZmV54uO49FOrW1k6bKQ3ZdmnpNj2moTgO52tZWeDbkgPBScN0AfHVvCCnnhxMUaATiX1SPCAQEGNwziKkSaJJEly7WT+Z2+WHx+Y27sZB2jMC4AiA2wo5wdCCGxHVEYp0FbNxtm8NrC2qWSmZNrvn6rV6khbYTUWiwUWJ0tuCVvFLLVaTbVxs9mRkIWUxUpd8zRzmHmt8CgcGVQTFEUcUU1MS1gfzjUllZFwvIUQBU23T0gSIiEdrKIoOp0Ow2t53rT2k5vycLp40scb9eyOzcY56m2IJA8kKCNhX2KoEw7+Bh7iUtOXTv6/r7lf3o+J3LqiSIUltsvoQBU0/QpFR7htTho0ETpggOCelVLHsv7tl/xN9sqp5lNG35zos6701XhWVkbuMVXPkTyVrigtwPFwaRldX2/tTD3odz7DsAFs0P7+/mg0wieg66bb7cLYFdTmjzsHcO1ovjwn07VajeMt/LzT6WitkbjjT6pIO4cOOKcFCTJoYmooUg3FCsMnAesTxAuNFbKfqCConO5rIkPBjgNNcSQLLIlYayvT5jjn5hRcEyVHkJoaCG4I8nZ3d+fzORALWBWka3hreZ6Px+O9vT3EvqvV6tSpU450fxBSAPCQUrZarfF4nGXZaLTc2b3Hh++tVjNmqaQ0MAsP5ahNUJHWDFhmRWXEm6ioN/BKwgJg1yHWx81gP3PRl0+ic46Z54LqbYh+uGjCxxM7Ci9aK3Vfe301Md++Hm5qp5/c1VKEEEKefazT+thwOARXABBFu91O0/T4+Hg4HHL7EN47YoVWq9XtdnEn+Aq+PdxYnuc4GnxjyHm4/1UQM0gp9fSJ+J+f9//spXBXT/7DC+J//GxoJzWllPcbITRnov7n0EGI66N2hPPF1ePJdy7KohTFmwfRqESpZFUaKYy1+clUC2GkDD5spHDOr0PchFDGWEqVaJkolSqVGtO04lLNNqzNUJhdrVZCCgadgSPh5QEtSagbCUYWib8g/ASoIB/pgvTPeLMifIalhtX2NIIAH344W//FFf+JneymWqmItMm7H/YiUF9wIB4aDE2y5dabNNlTolevn0mTWpXRKoTAgcR+Qjc0EDzwU/SWt5Ja0xoOhjgqSqnV+mh08vx48uJ6PeMs0JG4pSbmJ+d8BXUc41JE+ePKB5YalgVhdUIseRxgpICQ9p9Op/Cm6KsVQuTZfpYOx5MfHs8eqaeXQ2jDoBQkcBorep4MInEahKWDjNmFTBUd/6dX5O0tdaml+NckNaey4/Q0Sw/pvhACpXvuCoCFRdlfaz1fl98/jDM3+VT9B0bOMnPZ6D4+GXmDIIsfqNm8KApItFTTI0kc3UjCjAwGAAMwxijZ6nc/H8NWKRc/zLLs4OAA6SDDrcw7hTVJqMkk0mgka+1oNIJ1huHQWiNTRLVMUksDu7dIlyC2C7Yr3j7bL7408cgEcQ7xmuy7umk51ZBUgGfsi7UpeEPyivGd+MpEX0mMXLbCvOzYIfABkItjbE1Qf7oxBs0njKlKKY+Ojvr9vjEG2h37+/uvv/66o1YTY8xgMMDuRcR8dHRUFnbYfehYPTaZ3sBGYiMOhipyIO5TZBMEP+cq48BwAE1l8jYHlFJKwFGexKFEhUfqSZg3Iz30QFJNBc2IQEyGr0B8wB2oSHDPmXC2k3z32P7x6/5zp/TF9ic67UutVqvX6znnZrMZXj2QJFAZsHNgkU5OThQJvzEfjQ0Owo7pdApiHfYJ57jcU2SoXXK0Cv/0Rfe/v6yPNvEf3Sq/85v6fD2WJQTla4xICYrUI/XCfejXR+0Iu52LO91fllJGqf7sjWI3j/cO3Hw+lsJF6Uu3ksIJYaSqSWHzWl3JtNj4zSbUajWEEoE404I8DWAfR5qTsK2IB4FTh0qnXUId6FprRDqc4FePsapMFmW0TRPBhxkZKBtMCvG1q/HunfRivajVGpakqhhmQdTGlTlET8iHtM6b9bPt9s15tl+WW5l2nCgE+5vNZjqdwhQi/kKkibjee1+v1zHIFEgdgF/8o9nYM7qd2Vvny6uL5etFeU3KrfnA7/PKwJN572FQYOAYPQavhNe8KAoEv8CCYBcYzAmk6QOjE6mlAU7UGNOs361X1xabZ1Mz0OriZiOY97TZbOBcuQGL3yxSOlRVhRDz+fxCPTldNz88Un96Rd89lBdsMMTPtjQnHQkHjA4OqqCiPYNLBXU6GmNemvonDvzlzsu32heVOJ0ll0XcRgk42DAT1WgGpaCSlFB46SKV02KMMAEQ/xPkQaXId/oPSmlnyxlsja0MvAU9D4BwkiSLxaLdbgNWAsEK277f72NLAyEQVBzl5A9pMWd7jpiKsPihwiHECWW7XE3LcOHV44kkcV5MhR0j39VWEamVkIFu/BqOGLNdBOmWCYJDefOwTw2VJiv8EBAL/hYaue12m+2soLG9xpiTk5NGowF5HfRXYHIe9lue5+12ezKZwFkmSQJcER0sUsqdnZ0rV64kSa/T/Jzz355Or8UY8cmR1MYZcwLBlRkfutJOx05FUBCsqU8aBRpH5DsATtZaToYcKT8gYuN7A9SPqAWvEhqQUAxmJktJ0yW11rVa9pAtrhbp//DafXfu3PQf7SgwXI6OjvCWU5JGizEOh8P5fA5IjOesGWMgyAAjxufU0PAybDmUwEMIk8kEKeaWIaX0o28U/+fr9g9fLv7ObvzPPqG/fFYpEWIMQrxtUJcmrr6mYicb/w/3+qgdYUltD61G/Tduqf3hy6U4WH5y97QlRWNYZEnNpEKIJPFpKuESBDk/S3rNBSluw9zwyYwxcl88xzWSekgVSX5wEBpJVxchFYfhCPHYqnoSbWm328BbjhbFw6+7e/eyW5pB6y1pWNGQNiRPMMFAReDJEtut52dazZtEzGHlV6s1hCE06WXAQ3NXHLJYIJCwUzgSEI2U1DJ/cnKCL0IS2el0Go1WkmT97sXp7OTw8DkfD5ReAKpVVCIVhIbhqCA/hr1bLBa9Xg+VCbbX4FtqarRIqDFUksKqtXY+n6P7BQe7pCYnIUSzccasu+vNS7PlY6ndK90lJWspiZfiPMPTc9JsaEI37gFTmawrHti1J048fuB+fMN9cuB2akJWiIhAnGKMuBNcOLE4n1g3KaXX6cNvOOtf/0zruZodCP8pa3IuSOCuHHW54XxiQyIDwz7hwEJXGvnhyUSlgTrLMimyXudzm43fbJZYEwajyrKEEg0bSsT1QNtarRZSRqVUt9sF/gFcDugItpAQwjm3WCzQNQHYkBFFXZkoKwjY9BVeGKuTs2+rxqDVNO7dzq96wYGBlsw/VETywjuNNDDEUbu6JtXZatERf8JmIRJRy5IUjlJqNBpx2R61Z9bSBFwML2WtxdC3er2O8Uy4w9lshlNQFAWCMynlfD4fDAaADdvtwf7wS678mvdvoqbDfhr3IKg/aj6fw4dJosIi9BTUHyKJVKKUwvEJJCIB4wNQFPs/krYq/hey44JYxJIo3wgIuEmDIzYcKNiTuC0Z1h44+3c+fq79T16s/YPH1H99v7uzsclIvSzSPNdTp06t12u0TyA05xirRrPJOBQAjI/yJNi50AwB/xmYx09n6g9fC//bC26Q+H/vjuS/vEf0Mum9jz4IYi3AAAIMq96PoFEE/ybUCBOSgJrP51LKL+/JP3lV1NJwe2vDRhYkUrgf5BDtdhtGDTYFuxYQSqDmU6BACJkRUBTUsw+aHAw3HBVqKmirQvKBj+VqE1IcT/IiiEPx1pMkqdfrWZYtFovRoviLG9m9+/ZCXgqhAItXTQbj5ohzldKd9q27g7vTtAcgDhMewD4ty3I0GjFnAeY1xri7uwuwBaMvsRfxvKPRCKkABlKLCuWh1WpNp9MbN24kSTKZTABf7O/dXRRFLdfOX7t++KQQDspbbGKqZBPYjhjj8fEx6gGCzjlyINgvrDPQJ6Z6YzEjCcCKigAHTEAtqxv9MSlvW21ePZl9K012G+KS1g14d/hySXLMQMAQTOA0IjlGgLmfya807Cvz+N2rRdvG+0+l2pWgDKQk4ImrRnOycEvsun46iS9Pju5sPF23cdB5IPgGft9VhhHiDXKExLCYpikl7A7ZfsEMYUtwx0WSJCGYM3tf1LoeSDO21+tJKcfjsae2CrwLbEu8u5OTk263K4QAcNpqtbjIitQ2yzKe1YUMNc9ztr+cyYkK30eQhCE2DxKRhBRqwlt1a8H5H2cA7yC2vOfFTTjv+LmmYQhcX+DAkX3hOz6fQ5BYETJF6IzjCTVRX+kWhcnm4iu8Go+gWiwWmEoYKjIdeKHz+RxaRVmWTSYTMG4mkwl+vtN/0LtHJ7OXsM/ZLjOenJCwbTV9YWQY+x8oIla40WjwoK5IlRdNmgN4Uuaxr2lKKCyAoCYKhOmW9HE4o6jG+n6ruVi76eyvx5Cfadf/m65/5Ej9B98qf2Vn9Y8vJ/XUcBKPhQpEukaUgBIA+nm45RHWGNUfFFA8icbhvDx1FP74dfkvXnULb//ti/qff35999Ao5YQQWptqFpSSZIykvhS8kaIiIv1X+Ji/0fVRt0/M58eHRz9CMSmEIHxxay/99oFOZWioLV2bQT+8AFZaEkJwX21JLYYcYlfPM1fgAylQYFtwzyYQcKRWOOHcL8Wle+ccQhtBGAvjpWmaLhaLaRG+dpjet29uawlR4V5WoyRsEWuttdmgf3ln8NlW40KS1OHYwGqDP8aZQb0qEj5mjME9wMUqpTBlFB1mCCc19XLAXEYiNEopgZthsyLCEKiuexl8o9u+LcY4m1/HbG7gYxzm4xv5TiLRLrDCDOw4EhU0xtRodJ+iC1aYx7sztomvS9NUKSNFq167IMRmPH+y9FMl6lnW4JRaUsHDk8a/IhGfSA1hWmvvXDcRt7RE4cNjby6PF0XHhnazAVsAlVRONdg2ee/nZfzLg1Xqn70l/+mgeevu4H6t8rIs0fWVkQYjexpTEdGW1OjtqZ3ckmBpNWU0RGGgYrA+tfMlY5ocHyDUAzAA74Vdp2hoXFmW+FKgZ9PptNfr5XmOCg0IILVaDXQY59yaRilhL6U0YD1SGwliHa4QYzWYscyRn6p09VSTv0hEFfWzW+wFiXwmP4PprgjHZmhUEHEUXy2oMeMdf8jfG6hhY0Ny2LLCbmVv6mlcBl4fYjUAfVxrB7BZUIt6q9U6Pj4WJPvnqAER4m1pmqbJvtZ6vrgK88J5LQdYDFxpklCx1IQHA4UoBxVBJphE6q7jc+1IiBzfzsmAJQVmvPGCtJGRzk4mE6yhp0HigpCbJGlcOPcbUjaQNTrnLnXMV84Ujx7p//YZcTEve2oNe4gef9zkyclJURRQ3AbwAM4XfhKIHg+3J4lU+NOJ/F9eS//Dx/w/e6G8uWX+47vtf/VJ/8v7oWu2Bwo3LKgVldFdW2k8izTBNJLyO1bvfTbe3+D6qDNC0B3xeuDhk8T+W+fCn74s5I4Yrk9ijAg3kElYmqgJHlen0/GkjSRom0ZiKAjaSWyjsc8ideMFkpLipjqGvDgZwvlBQqaoVZG5l8g1F4vFwsk/v6Z/aVdezP1qteEgiGNqTzyavNZp1G9t1i8as534hWxYU2ESkR28mhACoy9dZXyMqoxUPXXqFP4rsGIsY1EUcOoxRmgdXb16FWq5gARbrRYiYpyldKs8uRbhXC2pB/dK6Q64ksQVI3Y5jtQGGLHE24Shh7lBrcVai4HpvAiQZ4PyDg6zIQkC5r+Updf6bK95tnCvn8wfXRa7vfZdRm9rcoYIlpLoEkjC1LbTayuxgd1yqa3P5eZHE/XwDXNXlOfr0Zvk4GTloyiDLMpllGbtZLkJhSsKYVR8/fb8hWZ+rtf8sk2yECISdDwX0kqYco61UYFmpIijNEX8Z6wSFhwWmbmdSpkz+19st0+BC4ONB6nGQLLIjEzAdRU0ahxA6Gg0gkgC4gxLQ9t7vZ4i2QdG7cqybDab6L4IFZ6LpC49vvCK+Qi8zxFWRFzSFQWZd1/wQNU2zXdfOKTsqEJFfpojnmp96B23oaiPEJw4TfXsgpqS+QgHKtGxvihA4xs3brB9F2TWsartdns0GnU6HczxWK1WzWYTdVlEIev1rb2Omc6fqtUy3Am+C0EtXEhJo5cCacsBr+bMRtFccQbesZ0YusDTcSyIk4u8s6C+Z+bXOJrbKisMI1fRmzWmtTt4KMbaZrPudDoAkGOMdSP+08vhkR3xe48tjfCfOp/fvRM/dza5rRZARELHCKBXpdTJyQmy28PDQ7ai2OpRyMeu+X/1evyXr5R5XvvKqdX/9ID41Klcbiu+mkswitTbBYWVbHkcTevEuzYVTZL3j73+xtdH7QgFNaBgCbDF2yb88jnz8FX1YF92TAHqsyCWmqdJp0x5QM7uSZicy9TYTJYkqnVlfDM2EKwwSuUwxzhOSFBwGFBoZMcJgBS8O7QEGWPGm/jn18T95/KPtdVkMsFzcaEu0mC2Rn2n3fxYs36TEDLL6pYkerFlcQ+Ophzs7+8z0D8ej4FxKaUWiwWYWlwAGI/HOL1Qh0rTdGdnpyiKo6MjkL56vd7p06dRBXHODYdDPAsa+Y+OjtD0gx8WG6X1pUZ2k06uOH/Cd8V1JvZDMDoF9REXNHUawbK1drFYNJtNHC1caF7En8AdCiEKUl3BKU1IESZN0zy7JUvPL5YvXDt82JrdVuP2xLbwpfgWcCYlkQOxYrgTeCMhRKteuy91t7v4xMH6J0dGyqXVSWK1lV4Hr2KRSldTNzrZjVQcatPrNh7MknYUEjsN0JMg1oaghBhBvfcebAu43nq9DrURTUIQBUmeOqK5YzGNMUrpM/tfatRPe9IUPDk5AZQUQpjNZkqpvb09BF4sbocdi6dGBRFNbIxPLJfLwWCgafSmIb4laKhrGlAsieDzDqwyknof2+v3P78c77+Pv0TAVwVpftZlKjRmdlqxIh/K//U9/1yTBg1CIrgxPIiUcjabkUbMtu1dSglFAgSjg8EA59eSfluj0cA5goQm1/Amk0mMcWdnB7J2rVZrOBzGw+idceHHstL4IanFBe+uJNVWT0I5MG6IhBhdl1LCZUYa6S4o5gAzzhgDkhSDJYzfMPSNnhlETraiSwXHXMvO7e18RsltgoE6C24bp+8LO/4Lv9V6dS6emadPH8n/9U1z5PR9O/7u2vxTg8bltOzXU0M9/kmSrL285hvX1unLx+s3p+JKaV85Wb00M/2a+vsX7L/8sr3c196/9Vy806SUk8mk2WyKSoArqa1QUGzNKJesNJj+PAqE4qN3hJI4ipwSQT1vN5cP7vhvvhF/5ea8ETfoywF7AmcbeBE8Igh4OOGNRgOnHVYAgAOMCNwGNiIXrsDWsdaiqI6NDn+5XC65lZ4BB7w55DrYahNv//y6+/QpcWs9rFbbLmmuIW1RstDptj62M7wFvlZXBtMgT4XVQzVIa91ut0WlYx39lDii8NCsBIY8D+bPWjsYDGaz2Xg8hrXFEUIlQxDcBGuLR6jVaufOnTs8PGSpAbttgdfe35Jms5i+WLqlJgUAQ51AgirVSZKwljF3dATqr8ArxhvB8vJpRBiBt4kCCWczUKaAjXBOt5uXtTpbutdG40eFFIkeJHYQwjBJGpbaLpHoY1PhzDO4jXdRV/7ze7IoVkmSKBW93zi/XhfXyvIwxBOjO1l6Ks8uF4XMkm24enx8zGJp4NFx3oO1RQ0Ds42AYcLktVotay1MsKSJ6hxgUb1Q7QweGPRvAb0LxSchBF79aDRar9c33XRTnueYEQHaCygGQggsu1IKSqGOxMaAKGBjM9lEkOqepBZ7mCFJlEVBxJkqyMlpzQc5yPF9mXuuokr/V16axlfBEWqS4S5IFMkRifQ9/5yjT0QbAG9CRbWSnU2MESEFxSUqxthut9HqgHKDEAKoqfe+3W4j8MrzfHd3F+Q7IcTx8XGe54PBYL1eO7cnVXO+fMLarWyYoSGCkYQR8A/wUUHe8ZUWAnwjKhH4K7g9MPU8NTMwGszpoyJlUUckvtVqhaOBOQ/cm5jnzd3B/f3ebUVRQFsA2xXndD6fg5wFYu2lrnng1u5ms3GumMX0O1cX3z1w/+Q5+6NxPN9R9+zI8aq8GmpvTP1svTnftKcb69NZea6ZPtQX//DWxoWGuNDd0l+5qaOkxhVB6SzQfg4ueet6olXDNDHcEittAu+/9/5m13vv1MPDw4cffvjJJ59sNBp/yyLiOy4APliXUFEKkFJ25eaTg/j/vbR58IxtymhpvpKpCN5j90ynU7b7KFbD4jBEgMWVNLzJVRTLYHkTmokKeA0lQ9DtULP11OSE3Yn7XK1WL87lD47l5/blpa4BzMj2EQ9Yz091Wh/XqgV1PpxDU9HsZn1LQC7M1V6tVt1uFwdVCAFUczQaKZq2iN3PXDLsadTnuAVtOBzeuHHj+Pi4KApsa611RsNFsY2gHhBCwCFvNBrgzi0WCynbu7u/ti5enc6f8347txrOlesWLJkBBI+RKEGyUjDNfEuCCvUQpzCkDuxI55qTPJQ38OI67f5m0/D+diHWPhyvy6P59DkhldV9owepHeADDfUapjTB1VIHgqWJqaVbOH+0Ka87f5yYfj0/E9zlJNmWKpNEoqsBEC5WBnZEUaMeY7B4L1A2gEWDA04rYpWR9HGQXgghFouF1rqR35mY/aOjo3a7DUO5WCw6nU6e58fHx8vl8vTp08g8gGei4AoAmculbMFhzRkuW9F4PEf92oAlcTOIqbnsFN8+YI+hyA+SDgqyxYzlvvsXPM01/IA2QVIxj7eoJHptQdKGTB55/w/R1B+JA4VNjhcU3z7ZHBwoS9xmbn07OTlBcUFU1BBxCqSU4IKu1+vZbLazs3PmzBnn3GKhd4dfOjz6prYFTDy06QNpx0QaWIE3wlkvg5mMbTCugEAnqWikcaLJWCLnkVz7hx8FdI9kQAhRy4YXz/9aszlk+SeQVIEJQU0Jtz2ZTNI0xYzi9XrdbDYHSnyut/m7F7shBGXTHx755xd6p5Gcb+rTuekZhcdMSBtBENyN+8cNYJvh345aurliCohVkbSsohIvM2wl9WawDsbP43pvR/jII4/8wR/8QZIkzz///IfrCEuSuQLMxVxnxMi3N4xNim9ci3d15e09DdAJLAxFDFKsFH6CSkC1SVlUptHGuK33KBpeiLPBsSEORowReitMTEDSyUEWxPSm88X3ju0NZ37zfBzU3+LyIMpTSonYtPpCq3kGNgigJe4EDBHnHEyeEALKQ/AH8MfMCSpIY0UIgQqf955Va/FXCUnyy0o7I449hmfCKKB2XdCkHqZXxBhxHiQpVnDZabFYNZu3NOs3Hx59f7F6TVbmtXIZA8/F2balJgH4dSTrKArihDv3lk4jRKqqWLRSCitgqCNKVIbbSdk0sVHLbirSTVFM1uXBunhjuX5GykyKttEta60QIWzkch1DLGKMIsYQnZBCCVH6sffr1O7VswvNxudjfGtqMY6r9x60I1ADOP/joY/wsghRYQr5qOO48hZC3KZoZEen0wGyLYTode7Os1sR9IxGI5Bx8IJGo9H169fb7TYAf1gK9D4jQUEdgWdCIcqWRBgxNOUHIEF4S5PPIhTg1oVA7RCSJtbi4gX5gN6LKxrvmT5iJ+ifITr6s653+0JBo7ARVRjSWvsrsVZ8DrfQIeiUJCbAWLcQYjqdDodDEKqttcfHx51OBxKvyA4RrVZHxBhjRqORc+7g4EAI0Wq1dnd3r1+/bozZHX7xePxdFw4lSa5L6vqXJBPqiIiXULsRQm0hBGJWQ+0QKNxEajLBPuT2Bq5ccFiJCBu/g4MZYxRCNuu37e/eZ20T3BbMx8BvIgGA2cT2TpJkd3cX7dfNZjPLsul02u12CTn3nzmVPkj0HxyBlGQFOWRhmylptAi/0Gq2h4dl4M3SUJF39LDivVtSPA4VGvOHe723I/zqV7/61a9+9Y/+6I9+7/d+78P9PpxYRDEMwdvK2OJL/dqw5v78Shi5+JmduhLgFip4CJgGRQ3gnHLBm/LeYpydwXpGnDngQoBc0KBzTUpO8LWexnYjG7g6mn39ahi283/nQqLiln+vte71esYYKfJu+y5r9oQQUkqMgBkMBpL0kGKM0+kUmcHe3h6MGgpjzNxJqFsWOwx5FVuogob5MSsauxY2wns/mUwSUqpE7RCADzwfIkFojTpivgiq5WRZ1m63T05O0HB2dHTU7XaH/c/ok+F89Ywxb2lboB0QHQ5wWsy4MyQdgIzfVESVsM64N8wER9ZSFMVyuUSjuqMRDXhk+Am4aklNFEr1rG2vVqsgvdJLH058nIZSGp1EoYUQUtjgvVRK61wKabSu12+2uluWTkq5XG4nIPJ+KEngrd/v80u31OOB58KGYViMyTIow6Skss3xEO4cLFB4+mH/rmb9dkS70EbAe6mms5h3gRvodrtYRvCP0IwcKyqyWBaYTqAgUkqEF5yC4ykiTfYQFSpj9fLU4vIBQVFOR/j/qre3+nli5/51LQNDypF4pLiYVBlp7nQ1w3jPz8GdALIWFCsAiJM0DB3vcbFY9Pv9o6MjfGwgGRT4Bk3cfSb+ZCR4K9O1HgAAIABJREFUO5/PN6zMLsR8Pq/Vap3m/drOJtMnN8WMU3MWrkLIBXOHWj621snJyTvK8Jo0adXbRSEi0SZTGraDoJmdLp8U55yS6bB/f6t5rtVqK1KoYWJgSlPm4ZLheM6fP2+tPTk5SUl1Gbe92Ww6nQ53ynvSWE8qY5yBjcHqctwvK7xi+M5AIzBVZSQTRN3wWjMSgNQkNcDYIdfs/c9BaO1fQ0M9FydgAiSJVmM3KKXqJnz1UvbIm8X//erqS2dMkmzL8nh+sJe99zj5gth6vjJIhX+uSaIXO5gDfKalcE0+VibW4rQg5YoxvjIpvnsg7jnd+MTQKCVDUNjQMUYRs27rHhH73kUpXLfbPTg4SNN0OByys99sNqPRCE6u1WoB7ghEyoeFxawvhrZgKEMI6EgVpGqPHcZ9lggLtsByt4uTCRvNhXrODpGajMdjJF44CdB3zfPcObe3t3dwcAA/ilJ2r3uLdzUvXpjOXsfKFyTC4khoGK+SIzgw7vh1pDQHdUXz/6pEAPBfsMiBpsnj8CCqBeYM3NISzRgNoGVZ03oH4afRW/A8qSgDCJyiqBeLJbxIQYqIfG+aqO0cLhSkmCyJw4b946itPpKGCJxQoOmGKPVB7wP8ctStrTldr93J7o25SDFGtLIdHx83m800TZvN5vXr13d3dxHvowaJ0IQH+SZJAvZHCAHDlbDsHM/B/zFlkRMO+V6tDv7tKtt/rXRQVFRAqx+oiMLz1zQM24sL7VVfyF7K04wRT7pF7/lckrhUvJEQu0QSjWJJKWjN9Ho9NK7AOmFV+em01vP5HDsBE2iRIeGjQgjNZhM173q9vlqpVv3zm/Sl2fyFsiywwaB1YIkpCgK8In0fiKpjRxmi+QCV1aRo70nxoyCFv0jdgYJk4XjRVquViN2d/v1p0gTJsyC9U/aj7FSw21EQVRU5WY54YozD4RBYDjo1A7WLSJL+gWfNsmxFg+q4hcwR35U/GXuSdwhOIsoTHH9U90B1mylSr/zQL/njH//4HT86e/YsahvICN/9C9Xr3nvvBYeq+sPf/u3f/t3f/d33/P0rV37y9I//GZ4Zq1ktyAFoxpOvVqtX1vaHJ8n9w7Cnl9jNhlpEPZHmE5rCg2hF0qTyWOmjEEIARQSoyPFFSXP+DA18QdTmiDIahXh+nr4w8Q+dtmdaVpCqujHGe91t39nvfmy9LqA0JoSA2QKYUCU0omYGw5QkSaPRAJcSu5C1brm+hZ8gzuIeYQwfwCHhRZNUb7DUecPeFIkmMw6AsvIWhAw/tiysJ9YQhNU1CfNvm66S8Y2jx53fHkJktMiqgU5jN+PTSmpHY6xDCMHwI78vQ7ySgtTJBdnZQMI6eBacz4TE5/DLaFguqF8boJCi4bqo3gWShEbwxGZOk2Slot44LDV2C3ZFSULtHD8Z6rbGc/HN4GPx7HgitKsWRZEl53YGn3bOI0dEARXAKVwvAovhcAiODOOZCUmNxBhBZJhMJsYYdBbhfbE/BjArScYzUJMAair6XZ3puPCbnEEK0pd5n6v6J7h4D4gK5f2DAJjvf7mf0Z4RK2oyisgjnPVy7isqXTcxRiyspCopwhpcMNwo6cHywANhGwPiA5CDNwhfuFqtRqMRj640xnCDgXNuO4YszCazH5bumO8T1Rm8fU2EoEAlWyEEWz+UFRxRH2yFba4qfCLGLbiJ0BgTo7T6Zi3P5HndGNPv9xEB8/EESw7bAzYBbw2KRd77+XzO4ZEmnoT3HrCqJL0tNiYMqyqi74oK/hmoG0dRO0Ty9r5Szv/4zVazQE3cdd5mSIIBI33A6x2Tz9/zMl/96lff8aPf//3ff+ihhz74d/zO7/zOJz7xieoPT58+DWrsuy+UYRA+iAp0Jih3Rkl5PB5ba29LZD8tv/mmO9s0nz3bkqTQpkm/6h04DBcgEXylNH2UNxDn8powd5gehCQ4IUopyDwuivjoQZQi/oO7ujWzFTFqNBqJzWvZLZ3Wbc1me7FY1Grbchde/GAwALsVOwC9BGhaGgwGAEYw2qLb7YLGGWka6mazmUwmiLxWqxUY3r1eD+JbkiR6V6vVbDYLRA6CH+JzhcIGSiNoH1SVMXK8CweDAWILsMgQWDjnIIYEV22tPX369GaziXGv1zl79eBbpTtBfIoHgcnGveERcN4KEtE2NAqx1+thigICZ0FVQMQcIJTC+oDcUTWpyLHAhtVEl8cNwK5hG6B5ERQVhP9s+yKJDFhS9w/EpcQyMnIbKipiTJzhShvnH4yCSirngJTBqJpzrte9s5lf7na7yOSwRJE0jIAHwPoMh0OG8iaTiSVKM3w/uil6vV6/38fzIptkju5iscjzHMFoURRA1EFNSkn79B2eie2UJIrpB/FersJKxcVwZRWt+hvgou/5XT8LYsXycoqgqDGf86RI/RKqMuBFU/0VeTZODdaQJyWxk+j3+4jbJpMJgE2EYkmSoIIIKwGgwhizs7MDS4KN4b1Xqnf61C3XD58+mTwtpefQiidyCwpoGG/03uPP8X4ZxuSSjSWVK0lovK6wzKSUzcb+3vAzBwdzUBCACiCGxp8Y6hlbr9eoYRtjuGsekC8eU9PkSFuZlyuJrF6r1WDJuY8IwR+OP/tsxCuRSlG4mXdACJHUDwSV7eERAknLWhqDw0EbwJK//R6rXuaZZ5752/y91vry5cuf/exnP/ifYC04x4fDQPLhaFQQJ/v7Nn7lov76ofqTV/2vnDO2QnLjkARrpGiKkKTCOy8xFpRDFRh9Q53L1lqolMHSIUp6ebT41lVxW1/dfyrPMuu20yTMoHdXmlwIXjoXrl27FmPEKWKbO51OkRcaYwCU4akRT8UYoW85GAwi6chIKgMsl0tYsatXrzLqwhOgsDi4k1arhb/lNhKYYAS52NadTgd5GGhv8OKQjlM0tts5h8AQ2YkghWu4HCaSLZfLXq9/09nfODx6KsZn1usVbg8MOkGVM0GjPuELHTHgUUpstVo4NhCsEm8P9CIJTsIooFbKP2cOHt4yfBj30niSeRPEPohEi+DkDEsHHgrAwxgjkFIAZTiooNQit4PvXJPYLDfFMwsD5To0t+jtjEyHPHXQu6vd/Hi/38c+rNfrx8fHAOUQZAQiQaApEOVAHHIpJY4AlwMRsPP6IM5AxoAXCsOHB5SkPoiV0e8iW7L3klSBVn+VZKh4V3UQF9svQXTBD4KvfpDrPTFSXIrkAhgvVXRVf4cRWkPEb0UiohiWyYO3hBBs9LGeeKE4s9PpFJLcALHxxmErwMdOqHEeAVO32wXe4304d+a+dvPCtYPH58uXI0miJ9T8zsslqeMoUA8lYmXsAUZ9DLGIpZQoG2PMUwhxd+e2Zv3WduscjBJHpY5YmlXuKzqMYTkhuhRIL5BhM84f2JvCVnB0gvheCLGh2VVwVMxmsNRF6ivzq/kdRSonVwEGmHHm3SAzxq8xq/ZD2V3vsd9+Tp/7M7+PZAiYYp7S9F2cWBjQpKK2YIz51X3xnTcX/+J5+8Xz6U6txiU6Q4wMpipIomLi62BDeTIWQ3YIzJ1zjELgr2q1mpDqO6/Pnz9xXziX3dTbVtqKomw1Lp7a/7SS6Wq1UkYAEObqBXY5K/wKkp/GKJNGo1FWlJOstShTA8GH1BMKCZqG2eL+cTK5fwNWHocn0rBTPM50OoXXQQ8iXAVUvNM0hRL3eDwWhG0i8oA3RfArhEDliesrQIkRsV69erXX63Vad3hXL8vvObdAqAjxbrxQQUPIcLcQpUOUzX4FNhqBJ790REL4UnwvoAJBTPo1zR4CvxRZkSGpICZGSupZlNSuCg1+/JuFpBHRCxKrxBEFJAD3H2hUCM5eIG1ST01dQBqg5FmQgkxBsuO7w3t2h/chOh6Px91uF7wDQ7rhmspXiHKm0ym+Gk4aP+RCAMvnwjpLKrWi1CSEAGYOu89OOiWpI/X2ElqkNrV3o4jvf4Wf0SwRSW2nWj78UK7394WCBlZEKvZzyi6JpclZI2NC2KswF/g3thM3q+A1gRiFCIMVmgSplOGRPTXIw2kppSCFiPgVAXFRFMZkN5374mJ5x2T2ZOmmgsYE4ibxTrHtGcawpPJffVgpJbc5stHQOslrFy+cf6DR6EspT05OyrLc2dlBLQCZZZ7no9EIPtUYc3x87KhFG6h7mqbdbhePDDhd0ZgRGC5FqCb+ypMIF+6W5Xsszf4MFfJOIAEd2AHeS/5nUIsVtSrh7SAdxA8R+XlqyP5wr/c+AI8//viXv/zl/5+9N/mRrEvLPM+dzMwnG3yM4Rvyy4FMmiwgKwUNiCohdXVXtbqKUkm1QQiWsGUNC/4ChMSSBZtMFkhISKnclRpBS62s6lY1NNXVRZNFMeQ3xOCDubv5ZHbvPb34xfNw3MzdwyO+mL7hLEIRHuZm1+495x2e93mfl8hofX39Z3/2Z7/zne+8qI9kc3OzphKRO9dUICP1edJnPZ1Of+5L6389rv/dR9k3t7KvrS2F8EQU0WlBpuogYQvBdZ4oBUcNxS6kLBpCcBk5xhjz8j8fFn/20Wm/bP7lF6vhcokF7HbuffkL//329rsXFxdHR0d4vrt372KyZxI/I9tYW1uLMT569Ih2hZ2dHUwbzKtGnUMwXyhg0MI4GAw4AKRTwIm2xVz/wcFBK5aE8RCgHpq7i6LAcVJ8YhsRqJZl+fjx4+Xl5Y2NDYhqhHicK5pJskTuYKbpOT3NfoKYuj56Z3l5c3z45+fTvwdcxePCMm/FNeDCGulo2OXwAlIi/GKh4TWYA44WNJw8zwEJc0mwWivOmAEHz2Qz54Kczxgjjm1tbY1cE2/aqHCbVhxxlmwnYlj8U0ykjUsJPa+trTH9ygVabNlw7etvv/XTbG8UfIxXMyaCzbmysrK5uenyjwfW0B0f1ZmTqX0oiKqDOZhJ+drQtLusvO3DAkoZE1VrfnLLdDAm7cxz75Zr8uLLCNh5xNf5wpgI0PCY2oTHEZSLBE2vzSVtQciI0eD8YoiIqChJUFTGfOMpQ8LDqqoKmhtWywklWWatHlliuKWlpeHwa1vTL5ycvX98/IPJ6QdFccouJXRupXdv0hb8NfY2yT2bnFM5nU7LYm1r50ea2ejOnXtcW9u2nFC2ARaj2+0+ePAA3H42myFvSQTW7/fBXbiGOpnQyVpfX6806bBMOKuZpo8Vqp0bbwvaUU7WmycqGf+A/TSiaF236zKVVBoxLQq1z+bJwNEXvNOu/Ok3v/nNv/7rv/6HF91OIeI2q2kamn8rieSmhYpCFKZSPQyu9nU6na9tVVvL03/3dxd//lHzw5u9H9kqCg2JdY0HK8ZmwoJ3pRSK45lpSFBd1/xijPG0zf/zfvj+afXWcvs/3M+2l3vUV5eX7owGP1bkg06nM5lMcDBLS0vQYegU5GnB5+QjcFd37txpNeZid3cX/gLenSfaqBMRwmGuiRkEX5ubmyEEYjdMP9/ItBofNqPE7B6yPW4syEml1h/kKGez2cbGBt4X/TbE72OMx8fHYHcGLjD0PJqtrS3Y/yHmg7VvrDRv7Y//z5k6Jeg6mknBp1X7HeeZtAYvUlUVbtvQX1CLZNTUHixIlOhBLpWWqZosHSqZSsdfnAadnZ1RQ4XsgK+tNem+LMvJZDKVWiMBjTPXoMwpV/cqv1Kq88l7jJ2MJSqKYm3lR3a2vuHMMktaqeBQcAF5nm9tbfE1qdFiuykoAm7bR7JLDaXyiWz7IpHodPW01uC6xWM7B0+FW6eDzUJzBffHFzBVA+gLX4UmNC1e59x/ZUlNERcy05CQTDxSF03Y/1VVGRfhsPCaqTqOsDxAC4RWFjUdDod7e3vsPVAcRznsB4ogFOzZlitL72xtfK1pmr39Hxwd//3F9OH5xa63t6/WswGcbTv4y7I8D6PB6nuj4RfOz8/XRmvuG378+PHq6upwOITtwu6ix3pzcxOKskFLhLoI6QqN+rIaDkapSiTcDIxzKKbqduDnfvR1omjvdJAtTRml1STh+DRq8Zw7nInP/9Sg7fnW1WegLEsGvrzwZetgA21twFxaFeAPoG0u6XNiV4r2X72bT9rOX592/uCvzgbh9N2V7KubWRafNPbNRPnDqlrXuFRbqyEv+BfHYen/Pu797fjiy6vx377bduKTamK3M1of/vhS764RSPw3uxOuSlVV4/HYB8m4n/MP0nks+1SjVQaDAYYV9ge/S6UhhGCooW1bkEnELOzt2J3OHi4uLkD/usnoIkbGcKJCCMxv6vf7Kysr0NuKokB0nzYPDh6YIaahlcQDx6zf74/HY8e/mPWqGnWrnzg5+/MQzkIIfNz5+TkGxXlhriK5s8MnEHTSJBRCsMrwTIRYogSs0kxqZ3CpeBYhBF6P+8dlOi9xHdHkFIMq2LKYyJ1TdOlISY6skacG0SCoNQ0cLAUYjb+tLn99sPa1XPMKcIfb29shBJroDw8PV1dX8zy/f/8+F0l7DIbVaWiWZaDuZu1nmk7H1YZEe4Xbi9VOEcLFFCqNylnO524+s4vpYCv9hJdkleaWraFzgrn/WnST9i4uaHHrDKXwZyVFbOeUQZl3K1Uagi2GUdgNWBWIDc9Q3zzPKStiiwBR2FdnZ2fElw8fPlxZWdnceGc4uHd6etrplpPJB48e/9Wsfpx3zxuJvsYYOp2VouiVRS/EsttbW1kezKYxz9fb5gkGsLS0tLGxUVXVwcHBgwcPiqK4c+cOqlsURLAVFAIM8GC4AK4I07l1Dx48aJoGOVPC65A01Thgchmo0BAC3tPpuIsdvpmtdGTsZe3jcxWzrnv0doccqLZtMR0vfL3qGqHZj1bbMkCKF8nFeWErA01EdZtxozeXy2Fn+rXO9Aen5fePsj//b/ELg/KLnYthp0ml/GjO83Yn0lcxoPn+ePof98qzOv7IIP7sV8peVdR1PZtl3e5wbflrK8vvhFjleY5Wy3g8dis0iOJsNiNlWVpaYl5gWZY4SOhYTiaCYDpCdVIokksCvaC5rxyDjkaQW03t+PiYgLRMpNqMRwX1xecqI/Hdx+Mx/t7TRx8/fszuZwdj0E0+5MUGSLEv5xp8v7OzA3Gm1oi+8/PzOzvvHB8Pj0/+y+n5f83zJ6TcKhk6yNcHGc5VquGyecq4TG4Cppy0iQ/1zcG1BDEAXU0xTYMvGKTYgH+t1TucS8GHX+QWwW5oJOlunoLBXpxombBJx+NxJ2nX4cU4pJWlr3erd4lgiqIYj8fdbnc4HHY6nQcPHtR1jYgXmTfgJ2UeAhpnsReaHIvUAHxUXwb5R6sG3FzwIB59lrSNzrmo+nJ3M6u93Atx3WoWmgVTaCuKkXtdEfGFLCdzrq75C/rni9869YWENZnkFEpR/6nnEa0GYfj87v7+Pl8WzlojjT1+nTI/EKtr2C6U1HXd7/fPz88//PBDGg0vLi7u379PkNo0zWAwGI1GR0dH3fUvb258ZTweHx49bJqztdXRbBayrAohc0lyNptlMVteKpum6Sx3Ck1MPDk5oa7Mcfvoo48owbDBsJl8F0xWlmUrKyvIR4Di4mOATI1CdaQvmKkpkFdeaCAr0f90OqV0miWl2TaZIMFfSHU60rGyyQrq2+EZzUVp6XLYhzDhC0QovV61IwQlIC7gXrNvIGJVmlTHPTUhENAA/AE7FUJY6nW/3Gm/MspOmvz/3Zv96YNipVN8afX83dWsW1VFWZ2cz47OzrIYQrfTNqGui1B2Qls8Pjr9fw6y0Ur3p+8V96vzEPKmiTHGIl++9/Y/7nXePj09izFQtsmy7ODgAP4625e+dTj6VOzAV1sR8S3g0ul0zCmNouc47cAKu6SPRUOh1BsrU4dclczHATc3VDgajbh1GPq2bXGBoGd1Mqv63r17+/v7WZbRzuE2Qaa980QqtZCXZYmBvri4GI/HJJGQ8uu63t7eZtLTYDBcWfmJuvnS3sG/P784xlhbh8Kl8q6a8aN0FJnhYD4RQU8nacbgnM/UukeRA4ZICq2kSAtuwDin+SkogCCXVUo9lbwQE0a3D6edbTlTN7pj21ZzvkgUgipPZVntbP10bDZzlaBCCDQIQWmpJcF89+5dus1m6jFlzwBhgZmHENbX1wGCOtLadXhOsSpXC1C8PHTM93Du0DVXqb08RzoYr2L6GZUFjXx5vjDIHbbJcEqDz616KvLLNJNGfR2ZaHRZojzOlyJ044lzTsn+Nzc3Hz16FEIgJG007bbb7SKazyYHPkWzNMZIZzDo6927d+kQ3dnZOTk5QYAmhIDIBoEONOMY4+rKZudJN1TT6XRgArN/eEPbxgtJEhZalVqo+/0+KA5k5kwkMu4GCFAIgWoiX4oHNxqNiqIg0y3UaFuJU+1jhVUMIcA2N62Py/M2a9QW3Ei8wleSbrmoRSjTiqbn/eaX8ZdSBOAXvrVew4R6Um+ydadHuXhBWZb5bBOYZFnGbBEzs2fqJsRuVtPpNzfrb2xU70/i//e4/Q8PY1MWZRnKOK1im+VldynkRd6ryrIsyqxZzqt/85Vqq9tOp2fYo153UBbvLvfeDW13Mjkhlo8x0sVMUbDQ0GA4lvS8m/3cSrAGE1/X9dra2vr6unt33MoaxfDkBHIwiImgyOOWCEsdE3CdTIMKqpAFMQa5Bh9I9isoDT4AiX2CPjwlxJmyLA8ODoKw3/F4TPKKO2SRpkBqdeK4vLx89+7dvb29J3a/s3Vv51882vte0/xdrTEgBtBwS7gr4GuOqIVyEPhoNLAb+0UKXqhO7lZ9TEBQYoQFxAEQYFGNoJqLM5tqihMbz76E5JJH0JWstjMnvJ3rc87vK+mMV1XV6y3tbP1MaDfrera6ugr/Ap497ZLHx8cQrHZ2dlqp56SPaXl5+eDgoN/vLy8vP378mKcWQnCDKaeg1rgujFchVeigjLkoCtpv7BQLNSOHq8r8z5oOtlcx/ZpEHbRYEJp5ScsxtD/da+6Hzlkz9VEAw2Bq8kRUvZJGAfadlqGqqobDIZhhURSm+IJUs2mpR1iqNxNNj1SJdr1Kox5CCIQyCCCYCYKhh+HZaB0dHbkyzT/LsiS5bKULwaEGxl9aWsJfOm0Iesq0c7iZ5/T0lFZpjvO5BjdCsC+SIXQmB3Fg+V/cMEWKdCdkEmNq1elUSu3yunjLftEIdiuKDS7AL4uSHWAa6wvfVK/aETZqhCoSKQEwTM/gdhkPIiJYhDNr8LSo3kH6u0MInap6Z63errK8qMoiq6qsabI874EShBCqKovRU87jdDq7uLiIbW+p9/Xl7tt5XmxtbU8mE6CDXq93cHCwtvakFk0wTq3u3r174FpnZ2f9fh/VQUqqJENBwoaPHj3Ksmw4HIK9sD84Y5w3jqvR9rIs6bSD1mEfabPbkfYmbe9GDMD3opq1uxpoh2sMCmmPjo4w7hsbGzhyrCfugfwvqvcD5nRQ8zjDGXBI3P/BYIDvNN77zv3/cXfpP33w0b+v1b3USLC71gxeHxUiTYPhPP1G3W+ZNKgajcHqaISN65dYsUIiywCh3DcavHypxPju7xyPx5nGYcPxy0QLcmaDIYtiypENQERq21Zi7tUX3/0XTd2HcIShQTfAdGJmSfb7fUBOth9U4X6/v76+zllAjNu4q0dKOdcPam6Zqfm9lhqfw8dMFPYsGUSXGpT0GN4mHXRC31zF9COWtzfNkq7E5zcQt17sxqgRd7mqTX6CbUJfLBLhyjnnTYKI7D7vBqJDNk9HU1D2TwbPLi0k/Ht6espAEn4rU1MgR4CgEHhmd3c30wgLjlKmWRm9Xu/09JS4GW2EXLUVzA6m5tGjR3meI9F+fHxMsdxekDc3JRtrQBS7vb09HA65RUb7c/UT59LHMIut1sQ0/DRhGfaWp5y2tLfJoIlGpNxqQfDkqSvTCJE06Y/igefS0PDHvcD1qh1hobHsAJ5uckfrgdtdSj2BJwpGGkK4uLjAvpTqpXPjcy7alYuxPE7esFZrdiaeTpZlWegN+/+413m7qjrsLZIq9DtoZQMOxQf0+/1ac8Kaptnb28MqtW27s7OT5/l4PEYH0oQ0tjXTnAv16+zt7eFm7O8vNLHIpBIHaLgorDBWkqSQw88thetBnIhb5eMAVaBdhBCANN3Vl0uglSTGWQh3nsaA9fX1TF0QZDAkyvQjTqfT9fV1R6Ddbreum8HaD5+fdf7+/f81xhMqnbXEBvmVoihcIaMIF7TF+e54fdiSRLjsDVKljqb4UkhjF2F9zIqii87VCMxfnue0SLoalP6lkPACdQijlI4MKAiZcN/tdjtV/537/+xkUu7vf4jte/jwIeAtmgzwoQjy+F5g+zy79fV1dtfJyQnqCgiWQmYOgsoBhIMy/pAoD0SJZRswN48gU5U3JJiVz2BMhLtuXq1GnGdXDRdsFroaXllS6JVpGCFPNiZyQkEJ69x1Fho45SIWxncqyX7L8rHzqepBSyFqZEsQu5QaJQjRFO/o98SZEfHv7u4y1AKCWyu+Zanmrlzde2QLZVnCNsDRchywaU3T4AU7GsBLSZuzw6al2NyThv729jZHnoo4NL1W+kozjZEhnGqahtgOsJcTVEt0F/uc7odWAuXOvNMi13PsByIYnLExoY+1UZ62XrUjTAt+ZBIuicGvc0Q5k9peKTHuruS7Wg1WJuYCASMJw1CGZAhWrkZa7FGn0+l1R2urXyuy7RifqFDiAKz6QaJja4gEEeozWDeryDuDefToEX8hqsJGw5WgEgaCh62kyOyyXEdSSWAUKbAwk7CCPT3FNn7LJ8ez9IK49V1p4BbSzueLYECNfDriu9CgMldBzs7OAGfY0IhrAOKRCx4dHYFnciBrCUmPhm9n4V+Oj/7jxcUYG1GrI4rnxbcgs+8lE9q4GzNNq8EwgRcdHx/v7+9XWuyBrqYj1Yl8cCYGjTv9AZHAdsikp5Kd42mSSJHFNk3DlF1THngEQSOxiMFHwy9+6Qv/vKp6NMYmiOWwAAAgAElEQVRsbDxpZw4h0J6F0yUzsDQrlc5SE0LAnOElglSTdGJWoBhEqcC4lFWp0yvIKRL2uZQYkrmmmUhD2eWq81PNSpSqpzfn3Avqq4bl3v79X+zKLjdOGC1wkopXMPR9IV3fqSb8mSPD3a41L2maSNZtb2+bd8a2oX2WiLbT6cC7IQYtiuL4+BimCXu10TSSjY2N2WxGGSItwnkfkts5pyfcJ8XkYFaaaA1QyTHkEZNOcJY7nc5HH33U7Xbv3bvHWwE2MJKpkjoxVoJSPXcM7SdPAiAn4fZiEKqFMV7Gfgy5txr79RwPlA0cEgbvc7/VLddrUJZhe1XSYncHXhD7EWQJK+zIIoqwgAd1SMI+Pj4+JnzONGLQkCPxIMFdf+2dna0fLYvNyeSEsIs8o5Duu/FG2miypI4VRZfiIjkSfKnd3V0cqnGD2ZN5YE/48TZbIYTZbMakCNI+vgiWDuCeML+jiYOuRHrzYY7zRCkDxC/T4F82NGeYXUudwIhlm6gtt+KGwUMxBkiJa319Hd1XYmEcQy79quPjYxfPTVgAIZxOv1F19/f2/6+QtZnG4xn0AMBsNFaCh8j8l9SoRfU/8NH0k1CowItA+Tk5OYHFw72yWnctAXfU/btSlC3VHWw82flEKeUjOxu+LHUjqn13tr/51r2fWl1dQzVtNBr1ej1YSLmkTcuyZDzyysoKj9gzB/juRGykHW6OpI+Qx2rr7PtmDMCgqO8n5U/+t0lmSoQEQnRe3kgP78rlDyKsudL68IIrIa9cI5dvYQxeyko/mmwYt2HwIIryk0kgN5dWOxlPV2OWnVGtra09evRof38fegjpvk0/fXKotIxGIxAg38bhcIi7xWlhJaqq2tzctDdtRAkEL8lVlOVBYytCQljFv/L019bWhsMhhL5MLUYYh8ePH7dte/fuXcoEfDUC+q4Evg8ODgi+8Z14a4qRjYYiAORw60rp7/gOc69IS6JULY3HPOtO8H1Lwy8+JbwgGdsr12vICM2YT52cKVuAZo36hTtqKMw1qoq0hs1Raw6y2+edS2Ft2Wrd7vKw/5XtrR/Ls5XpdNo0LTjnkoaMM9kHVIrttbGxQejUiq4Cl4/0q0r62fmV4XDIBqJN0FE83qgRNev8/Hxra2s6ndJEP9MA3ijpICpVfEd2M1oqzm9CCHmeQ6gJIcAyZWqS0zsTo1v1QjVNQ1HQJJ1cZEtyJiZOQCoh22PA/cXFBd33VVVBMcV2gBcRvuzs7Ozt7U0mE2Zbn5ycrK+vX1xc5Hn/y++9tzf+P87OH3JujWlzV+GXh4SaCKqJiZ+JHAth2rUudwHWdU1PZFVVtF6YlTqVlixBEskZv+tTyvu7pGrXMtWUKAKRQgOwjo+P2zbc3fknb937sU6nAzU3V2XXBoi4an9/fzKZbG1t4afZZqPRCHUFIqFSHWzMhqUOylPGxzvEIT5L/ySTNmvAmEGzwOr0C7iBtWZEhIT1HoSXtkLXjSovHmEnqVcecKOyL89m3X4ZFY+SLjNk2kjV1nXEPM9hMhfSN2g12Yq6HTk6tC+yKCdzMUbkNWKMhM4knVwGOFOu8eDkAK4yRikocVSZG2odVLvYtm3daH9+fg7jlD2PNHEp2QcCcTwfHRHcCjeqUmDqdDq0F3MBdt5ZlhGc1RKK4nODNCvSR1+rg95U21w19Uwqa7d8WFe6QF+8E5WPuSWuW6/aEfKkZ5IjyTQr50JaVrNEuZwnbdSCeQj4P5iHlZo9ySl5csbcY4ydTn+w9pW7Oz+2uXknSEkPETKMwmQy2dzcPDk5AVIAkuIj9vf3IfWNx2PsNZzpEAJKtVYKZcLO6ekpyFtU2Q+zS/rb6/WgilGPZKcaSoqSlmYXErzjADiNLirkYtuy9dkid+7coQues8299R3mTLZagMB4R3AecFo0wwB76S6IMR4cHIDmUdTs9XqHh4cMD+M+j0YjJjdBjVtfX+eYbW1tHR8f9/vD9fV/PT76qw8+/N9PzyZ+snzrUoO3WuGlmVqRuPJGPfie88AdO9fQEhujXMM3MjWcNOqDNEfU4jUhhCrRsyYGcljAYc7U3sqfZ2dns2n2zlv/06B/D8WQSrJqBplp6re7Go1GtlzUuRkuAakY62yh7Rgjm8cM6iDyRa1hpCDJmYYVtCptGuirJfVy3enToXjSwOMckcWj4e83eLLmKiHvdHFP3gRH6JWp6ZN/4qqby2LQ3E8KCkD9lXjOxMreq5kaMIbDIbSpTCQAICsOGu/QiD/lDlHPWy5E1SEAQs5iPB7jNTEIDrWDuBSURcA/CMK6GqDYJqNeZ7MZ0xOBVUajEZnu4eFhr9eDmwOzz5ImrlK5mc21DOOoIUnLavXpNuIr5ZfbHm7jBecisJv3FdbP7/8C16t2hBcaRtyq/bnU1B5Lt5hAgYlx7sg/Q6Lo47tGqFWo9yDLsl53q1u92+ve297e6Xa7CKQhp0LpFThrbW0N+Jt3iDG6n4Y3BFXI85wqYAiB7T4cDnEYXABJJFXM8/PzwWCAV/NBIurf2NioxYM3pdNCaOhMEhnY9DvkjCoI4bBDCOfn54CTvCHZtgM0igrsnlqt375vRBVbW1sPHz5k9hP/RaiILhQP5aOPPrK8OOXY3d1dgtm6rvf29jY2Nh4/fsypoD/JVoaMrczvfeGdf/3BR//b+PDvM8kpNJrkxxMv1ZkQpC+cqwuekMi2wP4jShoDcUj3G7i6Ti2WiGcqqWsDjFEt+ZkGJBFT2/eUUg+PMWah/0Nf+mfD4Va324V06s/CnVDza9v23r17IKgECoxVIuSHv/fWW29NNS6xbVsEsagpckMoEQHazzQgGotTSEctqMrACzJJL91setpEFztLxghEkWP9Mt5z8R2aq4S859YblRR65QlLNtOAGm8qp0Rd6Zmxf9iZHXXKAx6wSYifqD6gN9SK3gx0OR6PCYV9DUThWZY9evSo1+vRb0Oeit3ArZKQUWgEVDdQGVTFZLu6MMyWy0QZA+eAJgq6QJBHaQCFSM6y9yegGi+Ddx3VsVBJ+Tr1iJzxjvRvnW0HcZLbp4mwpy7wqVvX62Zn+dzrNdQIiV9oe+AhsQUbNes4XbDJI000p7GWyDXidV3NE8/zvJ5la6s/tDn673q9Ea0ztKnxvCkCIz8GYZpyGluQ/K9pmr29vbqu19fXi6LA6mVZtrW1haXrdDrLy8t0l5u9AqqG7SP6g9zhQmZVVaAQfhn/xd7C+aF71EgWJxcXxjheCMEsUA4hO5tClMPbRiOo8PEcYP7MpbWPd19aWiJmpHSPgeD2crcLdbk4WCEv5NPbth2PxwcHB+A5uBYTE7Dd8cmYiO479/95r/ufxkd/0TSzqUQ+YzJqlTOGYhwfESWZ6DSoloBIFPEYE8BrCg0wISnkG5FY2zXmGu+ZixdKbFSpEYUPTR3kYO2ro8GP37lzl4IQYbIVHYlFptMpWlaHh4d0j/GUa6nFXlxcHBwcOELirei9CSp1Z1nGqKyNjQ1fW6MGkkzdVA69STsMG9xsIOI1ZNFFn3cd8tmqjPrUY15I7PBl2KxnXQbe24TFQ5hlk80tJcIgXaNfzXgdFj9oeCE4Si1piLZtj46O7t69S9hK/Eff4Ww2o4v38PAQ3nsjtSNME09kaWmJgjc+L8syzAW15PF4zDklTcSxcYophRCXF0VxfHzMpqUHjFoDxxBb4YldgPbwIejmwnAxo6rREESOYSHxP0d+meYDX0h3hhtrOCdcnxFGVYJSEOL1rtcgsUbs7CIWxPQYIwFvIVlhTh0JGdAixWTsRSo4GWOczeJo+MXB2heXejtFUcYYqFRxyPM8hwp8fn6+t7cH+Ml2HI/HQFKwEylT5Xn+9ttvV5r+kwqWwjfB/LHJ2NlLGmvJ1ULBB1KzMwATc/1gpul69KqjHlRpti2+BzNHsEZ6R0wQ1fHmWLKU+lqt8R3ErcSYZGlRfFGa2Jxhkw6CCCF+YeTN9QMYK4h0k8viR7HyIYT19fX333+fR5zn+dra2u7u7v7+/tbWVquOpe3NH+1W2w93v1fXY4cOAJiNpkFxeaurq1VVuZYWpMmOO0xhQH5O2GRRNPycYxT2iUk9oKnm4OEeXGIBnwS9LMvO2/f+SX/tSy5gQwts1adFTXd5eZkcmgpTv9+n1+KDDz7Y2trKkxFrCH2BMAd18rjgDf6JQzUG0GjybS4xEYfSVAdydQvcvJ4aobOaa1oMby4NLq7b5ASvZjnza5LWDuAW/8TVLOPY7KVc3QiNGqAdLPJfpDJ09f3gBz9g+DYV/X6/D3H08PCQqBqBjkyEvhACxocidyHacwgB2ba6rnmHsizp3z87O6OnIoorTpnDs4W5NpT82Occ+Ubzv4j7XXjmSjK11Xrvlcn0+XQ3GizhsyhalQutFO01zGEHFg7m3pD1Gsgy0JYqNVnbu6BgaZV3MJ9aLG02oh2DMMB8a/OHVpa/0F99K8sKzD0EQsuDMU5sfX0dNhc5nBsQNzc36b/Z2trig6bT6ebmJskHnglzA1KxtbUFLg+Oz2UQ+rkOB9UTt+GOQAiBZSKjw88R8CQa4HejJjDgaQAJsfWcSZPf2qSFgISG/cpmRfOJMgA+AFWnXBy5Sk0CrVRxnZEAzrRqI+PL0jpJxQJ37p590NSmaR4/fkzmvb6+Tv2fGipm8eTkZDi8u7z8v+wd/OXZxX+p6yfdSxx+ggNYCTwLvggpbEcDUe344f5Q6quTXjcqPY2GXLLxqN7xYr4+W6WW7jA3pBUJM4SQhfW37vzT5aV1IgliMoqORAZILe/s7FBkRU0UW0Zpmd6vR48eEWpsbGyUGibnihEvdsLR1cg3Ut5Cg8IvNJW7FrMfYOoG/me6bMie+sr2GsWZp5YG59YbkhQ2Iojyz5jQN0gBMdlNoj7K/jFxN0/a74IMfZkocHJa79+///jx47OzM/gpvCccrrZtPXiZ81JLTozJXOxkA7aZ2OA4JJBzFNoGg0G326X/oVHTLbYCUvTZ2Rnjk1L4JM9zBCswNcTfGDR2I18nT0QJuEVtwkuI4sLk0trlsHQSvTrf7UXsIYr5+aa5QNardoQ0qvPk3MXlWwkUgOnvdrscJPcXt2JMxZiVxZ1u515/9e3BYLS9vZ1l2dnZ2ePHj0MIKLYURXF2dnZwcFBVFfTiEAJ8VCBQ8Df6K+7evcuG29/fx86a08U+xrmi3dWV9Htg5sDqKtvu4uICUwjoeqZpumdnZzTStmI9YfVI+Cg1R7X41JoRmElywpwXJ4JdDZZysb2SWE8h9gSoHcW/XMMx0vEulD1ijDSAc9nkxBCRLG8IAsybt9JT5XCurq4eHBxwD5eWlra3t2upncFY63Q6ZJC4z+PjY+SdYvza6dnWxewvzy8esRPg6eSaR+guOj5rpn5K3HPUjKSVlRVgIooxDlQbqfjb4hBC+ZaSgDpu5UO5+KZpqrK/svRD7779o9g+9mdRFB9++CFDS5qmOT4+Xltb8xRJOjTYNjz94+PjnZ0dvkgjkQSiH3CCXK2ohk9BsOtEKaZVt4nnGhZSXW8lCHCbdV2EPreuSwdvUxpcXGyY15gUzqHBdnj8047HSWGe8Gl9hEMyWSXtmmAL1XW9trbG6dve3t7f3wcqLzQ1ZTabQQ+czWZEQq3atKhh884u8rFJ6EUms5xKk/bs7Ozs7AyWTQgBgIFuIlJDAtNKcnHsFlrLyrIk0wD2oGuC/UOwlYlXnN49bg4X4EJ+VGNflPiJX686yKXN9oa7QNZr0BpFJPpCM1HZMVVVPSFWiH0HZoWZizG2bex2ht3OVoj9XvdOUfxD5yaD5Q4PD8nDCLuQb1hbW+PdQghG9sE2rVoym82wiQChpFA4Ue8AKnNAXnVd7+7uYoVxinwW5wRQFMIVGB1/pulIEIEbH8Cp4Cvj1ShBcULYzTPNZAiSdedqUyIc3rooChxqJpUyUg3sLEcFK4yD5/K488fHx/SDTyYT2gc5JISi9tPcH8xBv99HQA7EDyGopmkg1PR6PVTETAUCL+31ellY/tIX/tX5xcPJ6V8+fPRfM2lfESdRncXXmpE007DsLBHKYhtAeW01/wyE2YQjdz37bOO00iac2ZNG/mJ1+UdWlr7Y7w+IrvDKS0tLfM2ZlMzu3LmT5zlbYn9///T0dHNzk9sVQiAYojQI7A+niTfhHfia8EgdWXc1mD6Irc6mrdQAR05DknrLZOuW6eB1RcTmcmPi7Vee57VGgz3r776QNUfY8XGYSwobkZ4KsYcy9baz5Th61EEK9XQi1E6dj73EJqd4HNQhPZvN6KxwiNNJhlSYHZYeQ3wk6Sb/JGmjqZdrIG6mgk6keHZ2RohPRAs+BNsc7AFUg0yDQiDRZEfCjXNeEEfeUdO2N0Ar9f+52Ki5TD4KnxAXyHrVjpD4wgUP0xo92dnwS13XIWRlMej338pDP8Z+r7saQjg6OsqyArMCsA68EEJAgi+EgJdlInwq5YV9zMTRMGMFyItHxTWApNV1DZ3E26Wu6/F4nOc5x4C5l/5FKqAkfFEzMDk59n8u0ZMouAYAXocbCCJK4NqdOjjLtJ/jJyxsuuFBgMRc8x2JBnCuzi2g2zzZCmV5dnaGamKlHmQCETQm+EYQr52aECUQpZImXmgM8u7uLg2FDo2JS46Pj9HVfP/997e3tzeG/3Sw9o/e//B7IXyQqZmEHJczz4XhORwb2Z1wS3E2OHuOeq22bhdQ+ZoYPjZer9cD4ILSubz07srSD1+ct3XdQB4mC+x2u0RFxNR0koQQEB9HcIeoP8/zqJGBDDJECJubRlnU2EaMESSZzcCfPPQ8ESy2E3IdwXjALQ9dczvZs8Ws0YbsObwgay4Je5XLsN7c9bQL1NlGehet2m8K6byQvRGJmnvFaSok05GrqIb3okaQ8ksZxgLExX4g1aPAHEIAeSJF42KwG7TJ53kODMMCG4AX+qSxZzabSUrCkJWZfcC8OMVCXFliYs6vrQH3xBVovnJMZkqEJE3MNVWNnxsUZWOnCNYb7gJZr0F028EsVrVN1IF7vV4IeWxX11bf29x4r1NtZKFwgAw7gOF/VJ6YpVBq6G4IYTabYcqBBEEMYKJW6iJ35DIajYjcZ7MZ3YTEYnQvUJXZ3t6mIIxvQJ+FDectBVqCoorTDtdIWFEkY+8MT1foJLr1HWmV8ZOuZhLxtpmUI9pEVrFNyO7cmY50ifAiQRQAbkVVVUdHR75FRVG4H5wsFvewtrbGxFHTwV1DxX2SLUVNNJxMJnggjgcjn6jw4xvw+hROSPjKsnz06NHa2lqvt/LuW//z5OT9Dz76D7N4wDMFyCWGIHDGz6VVHxsgp0pAqX4oU+mVEyoRQbMJM4366na7WeivLn15qbd5cXFRFA16cvZ27D1oMngmhgWGEB4+fEgo05NsKWEZPo/4AJuIDhZfxDymUg2ahEf+RpSca2kNpxlVlrRX3mbF2wl8LKaD7VXjJp51LSZhr2xd6YDzPJ+rXDopdCDeqsGGn3Aeybo4WZwXDgJQARsDd0VAhheh8xj7c35+PhqNOFZHR0e8gJZcqjk04BZqH+SSAGNBOzLNZ2b/mDcH1StKX7TSbG3P2c7EtOfggCc5wOWUhctMliwRcE+LrDMpqabxhEHRIGqxcZeX/ZRf1HoNotsQnDqdTll28qzXW+o3ne67b79VlatluXp8dHF6egYgllUFBWEcJ3gCURisX8zB+fk5siaE28RK7EIqUm5b7krRhjN/cHCA3BHEh6ZpiOLZ651Oh7Y/TA9KIoYZsdRsRy6DbRSlSdFocDbBoN2Ma11wNFLYnc0E1g8mBvoaxYes1GjB1s8lneVKGBwW4yq5NDXwglxMr9dbW1vjqIQQyFemUnDldzudDkX1zc1NV/KPjo6GwyEmmy8eQmBcBh8HODwajWiTunfv3vHxMYr7S0tLf/u3fzsajVDyLMtye3ubayAyLYpiZ/urg/67e/v/be/gz0/PHhnNM3cmauhjJa1UYuEg8WKMCLRP7Mg0mfnsTBqKypN+015/a+Mb0/NBluW8DxNT9/b2QAUAhI14QyOyzjJJMOiZ9YBcp8myjEbGIMDN2V6t8aemycA5MtjrvbQIWFGfrhfGsl+5bp8Oph/UXDVu4vnWa0kKryt2huuTwlZ0R+c0mUih3AoeKPS0RqJoUMrJ8zJx2TiqzJ6kykBtxew5zBG97WivR7VGtFJBchtS27bb29sAQuSUjqdrqTc0EhVpNOKUwKtJZMd5W0BUvHKeDLDkjBs7mUpBJqp9udFUZF7PJ7aSfTYMzs8/QS6Q9aodYW9p+Pa9n1tb2wqxl+fd5eVlqsRwEE5OTpaXV3q9JRh3gAkWP+NR8TDefvttYHeKczAVib5hMNMPTusoUJUdycXFRb/fPzs7e/DgAXZ5aWkJuRASF8D6nZ0dU/NxMCCojJrj2lyuyzTAwTIl7JhclPe09yOqmzAoYHf5BztOeuFcIWp2PPeQuDVKTwvL20rBxPEgGZXDRqywqUC5VKdxsd79k8lkf38fox9CIPkgkTo6OmIwjR0td4PzaRit3++3bbu/v++mqO9///vQPSwcjDth2AKBsDPsstjYHP3cpPODyelfnl/s1eombKXZ7RjWAaxrFdyBtm1poKTii78k+FUhMLRtXF66Mxx8cXXli0eHk6apwTZBwh8+fMi3zkUcB4f3BbhVcWVl5eHDh4XUtIPGDqQbspaODIg93wVjUYjmwLNI83sbx/T4TBNxbUdaNxy35nYklzQdjNfrtD3fyl/JzN50pQnKlddTXxa+8RUSXAJUFiKklGrTJI6EwOzMjyqJsQcK7RcXFzTLn2mKJ+QU6oVYBjRIqd0Q7AKJUaPhwBKO07CIgzk/P+d8ffjhh71ez0L/lZRJ+Ebu0ycldQXKu4soHB5cUM3IoTxGo5XkbC0lSxwwF8MWzTT8Z46C9DIf70tZrzwjzHvro69ijqFOBI3kRmEPE7y5uekWBQC3w8PDwWCAppFDj7qu6Y4Af4NTMJvNsDiMsyDyooOCje5BevgzMH1YVVFa72+99RYdpuwz0kHq1V0pFXFI4MHi3qhcsq1bEfHB9OmSbDR7lu2FYY2J0n+UhkC6xQtJosTLmrZpwF5I89p5Ya3prESRCEnk6otaXV2lql9IWJI3WVpagqhNDOsotdvtDgYDhKQLNd3PZrO9vT0yIep5UQPcT09PmahQ1/X29jZ3uxHRDrkAviDJHL4Zf3l4eLi8dH80/OLFdPdg/Lfjw78/PR3neSAdxFIYGnUTAoaAp0/JhLpsiocXRdUpt87PV/orb21v3eOLrKys3LlzhxbJwWBA78f6+jqt8dANoBmHEHD5M02rARddWVnp9/vE+0EaVK1EITBnzhUKzRM3Bg5cnEss1Mj2XH2lToaxzD3xK1Ofm/1Bumz3Xwgcurici78agPTmJNgFBb/GP8EOcLWFRhgWia6TBdhazVLnEXC6zVQAHid8hMLWJJJ4QUoInA63SeSaruq3gopF9EaxkGlKR0dHOzs7HG0MKUyCqJocyBOKS5xTfuLA0TYK+MdgZimV5kwarTjIkNSJMzU7hYU9dkv44Q1cr0FZJmjEPOESTISDgwOiGBhWYEpHR0f7+/shBObaeKMQkWFq67qGrRdjfPjwIfQ8DDfNDORniLawyGDQH4JTSjmw1+sdHBxQ/sHgcqmZOH5GA7CMhIomkuFpqBM4x6KkxNZxma2R5Cb3hO2LPw4hZFL5q6UwC8RRafQzvwgqSFZhHN8Fs0rzIriG0WjEyecEAvTBqwzJHFe+I84A7iWgtMVQiFhJlQiQ8Xzdbndra+vBgwdQPWt1u0+n0/X19bfeemt3d/fo6IhIGYvD6SVlhKRja2LO22DwpZXlO+vDHx2P9zvdi1m9ezz58Oz8uChyMkta+kIIwFPsEPirHG8hOWW3sz0cvDfsvzeZnO3v7xOPs6loAjk5OaHkw18ODg6oaM6SEYP8FnyoyWTCXYJDsb+/zw+JV6j/DQaDo6MjA6o8LDA0bntazQ2J1tdiOsiDm2OK5mJpYf7m3MwtrZKt/AuEQ+eW4cdXAJDeJgnOLxM9QpIUtuq6acQkKNUsyPki2K00bwjxh0JjLGGimXFK9k+0R9B2oVk0BNClNBRxdeDekJkJqtwz3e/33eGztrbW0axpgt1cXUCtmoXsqjPNCCT2mmlqoL2goXu+voNpV17mAqPmMkdmbpcuso4/EetVO0IMLrEVDQPWBDK/DjdGokAWyAM7Ojpi4gGDEVDvREPBroXHkOc5oTo+Bq4wwAL7FWsF3wGOe7fb3d3dBfGgcOWaAW4PBBKfZDvLHm3blkZXdzuwyUjmCOUa6SrhyFtRkAt1vJIXcgjx3/hp8gCDnNQkoiaPO5mr1RrfSDUqk8xgUPbQaCIVs7D9TQlH8CIEGfhCiKYsqq2bm5sffPAB1aymaba2tvb397knFxcXW1tbH3zwQSvNax6lEbyiKLa2tg4ODtCDNaaNEW8kKs1m4PsSUmxsbCBoN53uDNb+UYyz07MH03q3jQez2UlVdeu6nc3a2TQ7Pz9fXl7rdquqrHq9XghlUaxWxfbG+ntlWU0mk6YJVG4Q1gkhNE1zdHREcgxQv7S09OjRI/MOOp0OchuYIQBhovg2ESLoSZuRCGZjYwMvS74INbcsSyt3zDRIhAfhLL/QYA2LjASNJ7syUTPk1Yikl0nq8zagaJDnqK+ZvvuilvPdl4qbOcu5+WX2BGlSSBUQRKeS3Ecu+Rj2Q61u1EZkkExcNsLK1dXVIM5Uo4lmlEsaTVAyGon4PgF3oY7VPM/xtWgW4j4JDV0Ox+ERbFHZAQXxdwdWdXgUNXSQB83ODFdpz7YatuNqzmJg1CZD3NIs/1Wi3y98vYb2iShlS2MLTdP0+/2gsb2kGgQ7Ozs7OBuqPsPh0FsnhEB6ca4pgGRpoHnD4b7KD+AAACAASURBVJC9giui3gZcBuOxo1nngHWPHj3iMgjKQKvAPGmaJvsJGtBK8ZKhibw5DhWb2EqCqxHBL5NekaNO9mUKxBfq+05hMcCKoMSx1cBC7oPf3EFAo6YorhnvwhvyTbk2aLFBRUpeQJzLMaCjwFeS5/ne3l6/3x+NRru7uxsbG2Te6+vrCJpPJpOqqmifCCFwe2OMjLanlIjRtzqoQZtMfcQklysrK/v7++wBsvMQghmYvd7q0tJXjo52jPCQ41b9J2USJrTR3UWNJMaAGAcjkNbX1+HN1nVNCoi7atuW2GhpaYmSId9ipqGA7IdCiqaZJv2a1EBYViejzwksyAnos47SMna4Y7OCA6sXhkjU0rW64VjlKme2Ik/dIDrDK4PABu/G5zrTt13OVF6euWxuLX9TJK30rEwCsDN1o2PoeXGubkKjpu6x42B6cClbZTAYEP1gl9iHlBixdRQsYOdZm5RgGhPhz+1qiLxNgfs3KA2S5LGB2STUpxEEDyEQxmEn0ScK12RvfHQlgY7FLdcmAuVzwHv7ZijqPd961Y7QrCf8hLeCwy5OMoYVqTMicZedmSBxcXHB/Hcw9FZiY5QV0fQqigKKBIwYy6rNNGABH9mqS3o0GhEuAe574Dg7lUdOKQv8DdMPIlpLFdBjHIICecLAEAJOF9g9JSb4xenuT98kk5JIKYVAW1hYoK55NCLLYXAd2LJBuXKnKUQYdV1PJhPikjKhsFaa1uZhFwQoHNfxeAwAy6eA8mHmqMAztB1+GpZia2trPB47Fc7zHGdDJNQ0Dax0IoyyLPv9PsVjHu79+/cRySMJw9AQBrErKg1SBjCo6/rBgwfdbhfx4koSr+y9wWAwHo+LohiPxzB4aQytNWYSkIByKX4xkygowpJZlm1sbMA8QoqPHQUVMGgCuFvHDIQaGw/iIjke4odAat4AAACVhOhuWJyjPM9To+mY3c4vihLpFPaVBfIvtVjYXtU4eN3yPUmvhGfkInQm3Qb7SGM2RB7cZ7I9ECwDjLmE4EMITdMwvL6ua6jXhDshBIyGcQUi15iMROYvfh+uhMyVneOssVGTFQfQAysAP2tp2WQaadCqVmKgnmNoOPRKkNP49pzbi9cPsPxErNegLMODp40MCm8jIR/3LPf7fQZHgAfCsLcnAEGC+cnGQi0F+BFQok668agsGv/h5KekG6poBPL4YzS1uSqYOK1GtKSwGGY3hIAgABdvK0NLnwPhEIK3Fxwzw6GEgYVGmjlNDImOO14Htiqx2MrKCggzSQANEt1kUjnBKUmhP90EHL9Vq1ZOs09zNRIRARjk5HsNh8MPP/wQAg5NgdgLg4dHR0fomnKrwRLzPDc5iBNo2Z22belYoNXEFZoiUdbo9Xqrq6uAukE8t9lsdvfuXd6WTeKtBXWWrXWu8b/YmgcPHhDrkD3QhwN+xaeDI2FWlpaWwDMfP368trbW7XYhGOcaxQ6YxqMHIWg1u8Mm0kEGF5Oil3NmxelIuCzSf3tf1SQtXLbL9pEhsVa1GltfyNG+zcpeZrHwWd82v6qvI5Pyi0vveKxCQ2MyKfmZpcnPO1IgM4PaVZVM/E8ib0KrQnNdzOribFLKaSSC2iba94bNXaQEECrFa42aUgCcw8nNpB/Stu3a2tqFppNyHBx/4wXBSLJrmJ+Os+dA0fAJx0XDq3eEIHLwPDHiYIkUw4bDId2pOAa2FIDexsaGLSlYPNlGr9cD2sLJhRCAN/Nk5GGtfoOOZrHOpGKKAwMuYBeaXoVuCMa3TcjlHal0IvruOMv0GRyYd7kDzGky3BkrafFoboIxfV6TGixfOe6KNw/ybeTN3Ngo8Wjjjbgczgx5G+kOXwdEpUkUAILYmFiK8Xg8Go2ID4LEw7a3t3nPC02HaNSrlGnYMiNmuJ97e3vb29uFJKTdCcMHnZ6efvTRR/S3kEATQ3DB9FqRg1KspbiCWZlpqGEIwXrulPqo28H4hWvOL0J4oSqcSXyHAl6tyYU0SkeNDUG2KsYISxmqzlQzDmmNPTw85H7aSWMdOpqvmSW6OQ6MUrOCAQUKjmpjCMko1KeueLkv/jqLFp4xf3qBK385xcLm+sbBG66kvarZ38yAqNmojYZcBvXMFcnIM44wYIlPTa3FGS81QxstQM4p2Bi/SECc5zkC7qmx8ilmOWkzU9R+l8tj75USeeCHtUjpZtAQaPICZ4GlxptceSfbpMN1LoC4Emj9BK3XozVK5uFsjydNhIWx6HQ66LxgU+goqCXTzh2nJNNqxA+/S2mwaRqkroNsDbjEaDRCyiGXWDvPj7o0r4TuTLbHBjVXnpiuVSsb7pNIKk/UsbOkrpBJnnsqAUzuQ4wRYk6mEfaLe4uVBl8cvxSdMLOUbiTK5u6NbSRnSjDBbxE65GIBtG07HA6dNOeiinFjl5aWTk9Pd3d3iRMrNe0WRQHjFOJckGEFKHaeAdZN0owOGR93fHxMPIHshRWlyauqqur3+4S9leQtwHLZM3ggtGxQdyTWQcuqrmsmQnB/GDHBwz07OxuNRgyHK4qCyuVUep5GJrhgDAqghW0EV7K0tARjeTAYcCtIItGpAUYjOuHpOK2HH0SE5CjeRmQm0ROjAu0tBg3O7ZZbOpiXlJbdZr3wYmHzMdRQr6xs4dt81qK6WUpNcq807IVAkCqP22OCysO7u7vo98LX45kyDBwDcnR0ZJkqWrwo/lGqyERgiWrrYn9yLhy5cg2ZCiiZhqb55pixPNPgmrkdRUgalDZcZ4hyjYOde0Hzie2a8HoNZBk2FnkJrsspWp7nbrEfDoc0Gs4B33RcOafs9XplWTJlEPoyboMUkySD/LJpmr/7u7/jnbvdLmUe3BVPkb1iDNZNGlmWdTUrkU3ZJkyEVjyrLMtMBTTIbs5nq1kB/JOmC+B+GuxyiT+lgS3hXrrtioT/6UtqxPLnDEw1oqHRKCKSbF8Al8rPuxqXGEQ9LTXsnhAVb4H/AyjmQOJRKMdi2WdSRi3LkszerZkcP9eAQwj0S3C1+/v7MUaYt5PJ5OjoaDQaEWfMpKiAW2okHru6ugpkPZOsAREAmumlxlDgCykoLi0tbWxswBGdaX4ynTOEI1go+jqs87C8vLy/v5+ppFTXNc0VdV3TSY17Y6etr69T3sZD55pmkEtNJpOcQlDMZENsa+6ycSZlk1seruZZmKLPmj+92PUCi4VPZRLdsPIFxTWWY8Q6mV7CvU2LhSZ8dTSts1XHMFudWJzXGOoksAbrwo3ZnljXycFQjJH9D+BEvEXYxK/bK8+k7p16QX9KCp/OuX8yVw57Ky7M3I2a4w3MvSDebsLXm7xeg9YoNz2T/B3sEhtxoCeib2o5jJaFTIjFKaVHzA6Ai5hr4p3BJaw2Np1f9yYbj8dkpeBdUcJpXEwtyUHSQegz2DvbMvPKorTq4aByDDIp9aWVACpGrRqSjNkG+eCgjuYgHuCVAX4unkWh1osQArkU56SQJKa/Fy7k/PzcCjXwMzmW/G4IoZOIhdaaGh/E+uFmTiYTmjJhnfBPCCO4OgIUcmt/tZiwGc/Pz2H/RrWv4b04nDRXuBBSJo3GRAy8Aw4Sdw4LFNUoFznIyfDBBwcHDOwej8eHh4c4PHSCyrIELwXbhN7JNC4ybMqW4AG7u7s0ziNORLMHdUFiMpwxZHdsE7beeGAu0RB71phIWGVizfDrzxRlz4GiN7/y+fKnF7iyF1Es9E37OFb4uqQwVx+UkUAf9lzz+bAn7EZ8D92BPL5aHbFsGI4eVec8z4nsXVYnMcD0gVoZRaBuwnYCMjUDzvgBv0IxO90DnAKzW/3V/P6tGoiJJ27ApYqk0zT9rzYZSf/JXa8hI8TW077GYwgS7znXvG9KNbQldDQRHprGdDqFrRBCaJrm4OCA1MFOFDwTI/L+++8T1IcQppo0CwGk0oAFioWz2QzuO2AdnQ+8mwHMEAK/Dj8wihRK2EWjq3MRvi9vGEViNoKRi69VqOnQ98elC7MqwsI+m/OFTkBxPwZhbCbweRRoyaHtv4OUJtDndL8wvx5ESwF+ZMoSrM5anR5cLQiPh3g4wrBLG41Gh4eHANEPHz4sJWlBrkyudn5+TopJt0zbttYHgIuUmqFcIy339vbatr1//z5vhaYBZoUHhITeZDIBE2ZKJXcMIZtamteF2LY4ez6O4ujDhw89bmJjY6OQKB0W06g1CSU5d6OeUT/TdHtkakELSgftzJ6j3PJMoOibEL9/zGJhVMfRxwTlCjXMLf5XqXG1xkWDupg4+45p2KgmoXC+rK5HNG+54KjZ8exe3pknzusrNbP7J0Bi1MidtOUSkgwiIc5BCASCeTI5J4hZk6uPELpAK3belfchimx8pZt8gRD3a1yv2hFmagVlmiXwEZuGlILCMtaH5nHSO5wZYjHopOBIUBOlKF0UxfLyMskluJw5/exmZuNtb2+XZQmMUEpgmjmF7GN4EGxc9hBOAoARkqFdJk0UwLZOfQjxyDMyVTpz0US5CZmEna6MRlv1Grpc5NzCrwlydf4n2HLU+NlMqiucAVLqEII5LEHznlyRytVyRA0viH3KPeHpkGYFyfOTFDbqpuC2UIXFL0I8wT2Mx+Msy1C5YzAhWTg63eT3EES5NgIC6DO7u7uYkqqq0D/jE/lqIFHT6RSxdX6XAjPJaJ7ng8EAl0Mtk5fBqbm4uAAOxZPVEsBDPoaQCK04B0mkj6gr1HXd07jpQqJcrujYz/EQnSw6juEZkVU8h2MwinCbV74QQPKFrOJ5i4UcimfCjW9Y+WXFNa9M3OBCmmeZFtLHQe6cF5g+Zry9FsUdcD4TSzOTDr6LfMvLy9TF4ZTaUXFUazWGOt7itzLNNw0JqsSiiJBlmQnMbdsadE2dd5YUSq68n00yF2Xuv7zPP/5TeL3rNfQRBpktp27E+IbCSFxWV1ejOuHYBCSL0+kUl7mxsYGp5T1xe/Q8kNbgC3nehG9YrkaUdH7F7BiuwYgNzQOVpGqoDYD7BQH0UeQuF8NMsHaiUCSN81xqmbTrXmeVWrEkCvHgo/RLczU5sTh+US2JNrszaSnl6sltpXuCP24kKojvBGwMcpNUNSpNHQKQTLkwSGZwNrgbWHNqFX6CEJfI0pztQdbFLnjYIQwafB58mSzLLBEOKQYJGFisBwcHnU6HNkGSRf6XTzfvhlB6OBwShhMiEKGDc7ITMAegnXwvop9cmsX9fv+jjz6KUscmz+bpsz2i5H5atZr4SYUQ0Cu/0EgBp5t4et7WbNJnWvF2cirhWeDTV7aeo1jYSH/uRbnzXJ0wi//FwwqXdS3mohkye3bOTH3DlGMqdejzDpBWMk39pZjXiAbIl2JUIdG/6wIzTUOEB2cQyJoMncvae8A/bduapAN4mwkOLaSnWoq1ft39JObIr5mp9OlIB8PrUpZhD1GiG4/H5BN5nsOwKKSJgMMbDoc25SEEzNPdu3fJHvB8QWFdCAEqKVsEYM2E0kKaIEdHR6VUkbrdLn1ymbpT7XUGgwG9GcT47BveFrcN0uhQKySdgk4CvBExdqal5JrnuXiXFk1Dmg62Iuz47zONbi/V+0H+GtWC5l8HLUFO09hLm8jKuIeEkLNpGsx9EIhE7fD09JRZ9hQCcVS1Zg4T/IK6kMBha8gLzTWg6Pjw4UOYL2TefLXT09PJZMJ0XEJg0lZ2BfDv/fv3cWMhBPq0HMpsbm5CDuIR4EqJ1jENKDnwRNq2PTg4aJpmNBplWcbFE17wcGEgz2YzxEgxMWAVUdXiSuIymXokgujm2BryXZ4L27KUQlChCSfPd6aaW8upvCGgaLoyFQtv8xXii56M4Wu4ISnEZxAd+jKc37tTy2hWSFJJAAlCzEoCpCCioE1BebypA6WG1WArOHGco0aqQ11NK6ylC5pecyuxLWv2zi43p8Zk3jLv6f79xeV65HVu8vUWm1/Ueg3QKFpEZmGsrKyMx2NsCk02RFhpLtVKstJ1naC6NK30AN9AW634JqCRIBgAp1hhHF6v14O7TCzfijZiH0CruPc67+m/g43gTqy9YkNjLxgk282OLNX2EFRsWLxFdaIFc+VKf8vmeJoofQdVUEoRdIMChSzLAEjNUI1iZmOOW4nBcveCKgdOQA3Jkl577BkDYszknkwmGxsbM81zmUnCMYTQ7/chmEA0IGoBiOaucmEnJycMcsM98wUhtsBzQRCHuRZt2+7v76+urjLJksQrkwZbCMGA7XQ6hTQExziqTJWrn2Q0Gp1rbheQO+BnIynzWuozhq8LiQVi46KmSzruYavUUhBtpHXg18TnHV1rNuNTX9m+psbBpy7vKN+EFPDwy2IyG/1lXENzTQ+AyxP+X1+YAYBcKjOFet6DGJuWUzC9Mwjzn2qols9gWk5uNDUstVHA76ZhVwuT/+wF04g8JKxaACG2etQMnOv23ky6Ttd5wWdK5d/k9RoyQoONQX4RS8dOMlZO1oUBCkIkEEkpyxIiCfJstjU05jvh6GloOGZoMpmw22azWb/fxykGdfjxZ65WWfM8M6nxYqa5sFIqISEhwdv3kPzx0e6KLROtXoOicwcvPiMLzrVDzo+j1CD+N1BMUOLoqJDZGqXaCt0f2WokG7aecmBHY4dtsCik2XDAN+H40WXBnyikB01sAQBwWQ7HhvpB27Z00aBHiivli5AXZlnGk0WVsSgK5NmCYPZ+v3/v3r1G47FM2cUNm6/Lm8B35ZB7AgBBcSlOPHbK6v645zSAwBLxTUNibpDfIzaifnORTFg1Hd8SQil5+FnXU2MmL7bWGxu8273NQTLGIR0cvyRH7lO8+P5c23W1VWNFrcarBW08vJ1xEdAjYA/gAUoJudrbg9gr7H/DTqR0zuqiyDjhcjnZ0bxfkyUEmUzsQrZBJvbAdZhnSAil17m6Tw0uGl69IwzibiDtQW1pdXWVuD6EgLpHCAH5ZmwxBoWtxtwAz35zjWqmadFRY2yxdOhuQ1ZEiLlpGnIIgnSK25Vm2gWhr7kmRUD6KqT+zufO1GXvnMOVuVzEay47DWPJkEpJNKW35TkC3vZyR3ZMOHiOYfmvTKolLj0ip2lf3kprmzjU+Xda9iCPoY7oxLfSfIYLzZfhzFNBbDUEg7oa8QT6ijPN+24kqkAOCkIOJok+ABrfFFSYH0JCz3Ovqoow+fT0lP4WciwSeqguzH8gQm+aBuCBh0XfPZMsqQuiMWs/xzfldlE75FLJrRt1RNC4wrWRo+P8DH6GEHKJG1iyjhQ8PDv7/DliphdYVHt5a9HZ2C++KGrMdSvXwPe5T/FP2qt4bZkKvY6bWSY3RM0SAYmhIsO+dXBsN1xJnrSVvoRVD9Pkr6PxNa6AcN5TXMHX02qKTpO0AGbSM7pu/xhkus4c8VA+d4TPuYqiAOzCmUHVg0wBoo3toHo0GAyC8MZc6u9kHnVd0z5YSzSk3+9T+8G48LwZMsCGw1w6/2ODUtPmYsxioF+71TgL6k9uMC/VmpoJTgzqj4TWFS6rMMxFu+GqExWfnQtuA+o74AgUl+Y8zDFgqR7hXFwPt+LN1FbsCDc9tLyG7Jb/SqFg7Dvhy8nJCQ12kGWosBoI4qoApcn/MCI09nFvIRIjV4a4DygoEXS326Vwa5F+op+joyPYoW4obtUG2tEoOMvuWBptfX2d/RZCAHFyhO7aXtM0DIFy0MMVkomWybxT7gwoBVvLyEElqR2TMvxQrkPkbljPGjO1Gun8TJ/yhqxXBr5l17c25kkzw+L/sjNzTWXK1CFq9xM1kxkHydYicvJmMCpmcgNhIt7Rh7oVlaFKhpKmCAp7zyQaR8A+/lGzoA3qLt4KB/Q3QAifpnQwvJaMkJtbVRXaLiGElZWV4XCIscOl8SzBr+iIIAzHP+GoMlWA8GEhBAyr8fTT01PwUoKpuq4Zy87749tA5MAG2UOeZ4vjJK2hfwAHZk5Epi5Alr1gFItvzgs2yezpdA+lvur2t9EXE5Kxor69fqs8kfYOCc6D+4SslHJlg4AdUESLhNncAySOx2NmGs+x0WazGTO2XF3gYXG0iHuWl5c3NjbOzs4ODw95vnalvqu4UgJnkshut7u5uckHdbvd/f19rgEaQozx0aNHlkcn9KFmTPTDG6LuSBpaiLTCDqHqOZN+wsHBAVjWYDAAh8ePugHRtRaMC0Rlpj2zhYCUuc8pdFZo2BZGKjxj3e45YqY3GRR9o5bP0dy9zaQ25YMzd1QLkTDBSNKfAwnwoDkymZq7QEogTPCLYPiO2kOi6A1YGtU+y3XaBAVFDM4R+afF1TJJb/ukXxeBxYRKc8O9aj8tNBnWaxjMC8cB70X5l54EyjDIivKYwbXIS3h+IFqdTofKIuADVUMcA9Ynql0Pbn2uEQFAsvAycEgUqLBKhTp7CsnKcMEYevZTSBRsM01pyUWF9XfMVXtPvWAmSZoUxHhuL5hCKHauuRhoNrUhUSj1FRaJlAkOz+BzCp6UUn/NJUGXq5IfRPappf0ddDY87Qgkudvt4rGgmELaxNWVZYkaGTEymTePHtoLnhLQu0oGzeA+CWWgSln3ldqwx12trKygUMVTGwwG1CnBxjETQKYULxnnBCsV88dEJ6OgKMhwMbhSUHcXmHGffBGqAFRZbF5jQv1/1nTwWXeLw683HxR9Q1axMKcwJDObikTgML2lqUNqLlNzCxHuWomHIAvMKSBmMnJea2YOMROW0AikE1Mis1J9xo3kumyIUuDUyJD54S4xLu49m4Wb8Yb2U0STYb0GRwg8lec5AyoZcf748WP3v+ei5MH0M4gHIRDTbAEtSj5YujQ/w7BikYHyKD5jxRyCtclM5+l0yvx0I+P0BuC9gO+NnrkGnl8WQjP+mSVcmEZSMmyvTPQZX+ozbako4gPnKi6M6cmTUSmFJNxqzTbiNZlUuYFZZppgZ5/nj3AxAPdfJESPVk1pBLBpqLG6uoobaJrGw28puFo1lANMizrejuFNPKy2bYfDITcfmgzqaKb28BGccIQOrANA0XEwGNBTiCsaDAalGOdIj1bJyEDLUCFwk2XZaDSqqmo8HocQUA5y16BlRNgSvjmN+g4L0dZzyUu2at7y7nrWdPBZd8vzxVif8ZXmVenPc2lfGOKeu7E+dARnc+eRcgzQaJYo+BdFkY4UdW6Qi54Di96UVIItx7vuKcqkWMmucwrIzxsNdcoTcatFqNyQe/u0EbufMlw0hHD1l/nud7/78z//81/96ld/4id+4rd/+7ejROo+/sKqppihJ6xCn2GUCbW3UtMHQUpxXevr65gwthEZZBBkh2ssigLdLPIV16XJQvgV9hBvgjWfTCYrKysgY4CutAfg7Qz312pCd2dPui34Z5ZUoV2y9lfmzPgCntULcvdwFZXUOOdelon4U0tXvpSIfvqyQi0TpdQrGsnNBGV4uUikmUhoHGxQnVxjnqImvASNpLCgFDkfB9K9iaCOqPysrKyg11OWJWqxfG6u/rxOp0M7KY4thIB2KE8Htg6ujoCGJP7x48d4L+IYc5fw63g4ei2Y2YREcghheXl5c3MTXnGv1yNNZLPBmonSH2iSyZfWhcEL0qJK5ZtfgRo2Fx7d8rk3CdHp9q//3As+xzKOnf4wkyZGSCTU505TJtYxcV76Dg4f4Yi1bYtCNxgYJK+gngf/og1UoUp8pSGaRlwxNZVkuBs1noWEyAMSWyRT0sICP8uGxd/luvvzHHj+m7+uzgj/4i/+4hd+4Rd+8id/8gc/+MEv/uIvLi8v/+qv/uoL+TwzGAmRoMkURcEQHHdrEaTPZrPBYDCdTmnfDiGAfDrYcRSfi6hpKJwqF0SJXCOBYC23YmFxSbiHyWQSQkD6JIRAvZpG7CJhNjdS9M61Zpqxnqv2lsaDtUS6s6uavZ4JXoiX6dHZgpzE4jLG61iyWdDiyjRc3vlfLrZIrR61XIQ6s2NK9Wa42pplGV8cMBAOJycQyRhOMvi2VUNdumPMciVpFaBvzEqMkdSc2Q4MRKQs17bt+fn54eEh0OvJyQkoJa5oa2sLf8A24xE7bgBNzTRIkjvpafKNZHcqSfvjLNmEhfRQgqizRFdRswaJA7oa+ugUMBO5iZt/S2vSPMuYofhyus4/U6tYYM1wVB3yGlAJCw+xTDr28qQ5gd0e1d4OGp9rArb7gMkR+bioEWYhBErmeFOru4VkpKVLSLw+ze2MqTrAnUv4UvCAy7vh5nz60sFwnSP89V//df7ypS996Zd/+Zf/9E//9EU5QuccxtbwdtBBqRiFENBc9qxkKj2Qzotk4DvGGlYV/8Sao6rsJKbS6FpyBTwKJEPSMrKlfr+fi8RFHTHdx5gzu8+0Ck22ajeZhvypF2xFl3ACMQdXLi6/3j7eifItg30jNo4uFzniecIXJdHESRQJrcOLJMmHsFajkqmY/L2qqslkYoIlKC5MuaZpTk9PEQCKMa6srKDoDcWG5xIkZJP6AO4/7pb/ytXG3mgNh0OQUoQa+F7muzqI5jbC6+EOZ1kGSGsd5FxqxfR7gMri8oNGNNPhY+mGQs3RTkCjmEpFQm9p1Kh6w4NzIbaV5shTn3XQ+SpeWr/dZ2TlV7Fm5sqHmVimcYGRa5yz0YC5tCTBdm0leF1KzhATZ0ZMoRGYruUz9jKTsnampvhG8yV8AXa3thJtwioIlxO+FHJvbjGfq/100WRYTzktMcbvfe97X//611/U52GVYEwx9TskWXnTNOfn5x4OgMGtpGxJ+E910AGOucVsCNdy2HlYXsKcTM09yFemhWjrnkQNSnSlx/fBAjHQMWBDQOKvE5UyzHHUnDz+NKxqHIN3vhKuDArqgXajxkR467fPKBHik8O7GXBOX8O7VRqtTrOg80LOKn60TQaG1Bp7zXcniZ9JgJHWC3OgePRR0pqOuIkJ9vf38V7keUyH910yoE1J2EiAualN05ALRs0XhRLcSWbW8BVw9mwJxD/Zuh+AXAAAIABJREFUEuPxOBfFCQiUa+ZWUMDG4pQSvqrVfsNdCqIk5JpKHwRROvAvNcHA0IUDHRdN2TbeSPn1Lc9zy3Do517w4y/DJ14OgNKf2BWlr3QNr1B7lQt4uMYQwtLSEvMsCYkYEge2WSbiG3yK97l1iABLrnziUa1KaazcJoIY6XZKIfeo+cM33JY24dN9mlb2R3/0R3M/+sY3vvHuu+/y99/6rd/63d/93T/7sz/DYy2uH//xH/+bv/mbuQDhV37lV37jN37jytczGTzLMvK/paUlZtFx8rvd7snJCUgXYJdhTJ4ufPpc0/K8RZinha3BORVieOIpAa/8+lLtX8T+AFkp+E57hi8b0jN/d9Mrl+TXcP3gJ6605Tf24oSEDR8uaxhmkmzmZY7a+FLPV/uJl7t3+b5MlUo9U13XR0dHIIFZMiCUHGg2m52fn3N/AD9bdQ3napknPep2u7R1pnHJ8fHx6uoqtEyAaIgwHEIc4XQ6PT4+5p/4HvtvY4xRA0u5JH7C3C4MDV5qOp2urq66csn/0uoAeepCg7/tldnqpdTmAGw9jtgwOwET2G+e59YrZ7saYOd78Yl+amwbP/SQgOTEDfajz/pkb+kyP1+3WZximF/8pL2mI3MRu+ZEpPUX46h+1q7zFRoPnmkUCd3SAKF2h5Uk07Kk8eZKkLNNJoeHxHrMXX+dzDQ2dHGzYamv6h55lYv04zp/dOUCl7r5NeW3v/3tuR+tra3hCH/v937vd37nd/7kT/7khk/t9/vf+ta3fuZnfmbug6/7lToZKbm+vs7kBwCBs7Mzmrjffvtt6nmV1D0cYU0mE2wryWIu/cxcRFPDUxgghJWNaxFxB42lzSSwQpxFDA4fJ71xM43FMImDnwO3eqe6lFhrYku43NWX/hmEejkbMJa7uMnSPQr6+nHsnXNTY8Kc83SL03CZqULm7Bn2EHHr6uqq0d1SapmcbbTuZrPZ9va2I1BAIaDIVOosVydyCIG67HA4XF1dTQuWeZ5DNCdhpccfKaLZbAaZJYQAxJqpwTTGuLOzw8uIdQhW6ro2xMRgJvZM0Fw3vg4yMaPRiNKy8clWytqkiU4u+d9S6pFsDwc0jmOiSFtpMO6HDhpxM2o6tz6HQ1/eYjvZEYbrw9A09XfuFa4ZqhWTLgVrWTjX5EhGcdx8NFzpjyIk+59evMNcSJSS3Uo1sKaR0y29YBqOv67FBTyTI7zNKv/wD//wyv/49re//Zu/+Zt//Md//N57793w+1mWDQaDzc3NW36ea0hReq8MoHdYZIqEI25nV1hYcgiiZmL/Ql2rs9mMJkUaJxgxeHZ2RtKJXDKxNuUoqyoT7xcaypoalFZi3BaDTn/uTgxzWIIEkGIiCRglKBMSaAXzV4i32V7TmuNczdjFM1nJxVUkc4JS5lue0KbLsuQomsyWadIstwhkGzeWaa4FD6htW/ocoI0Ul1WJl5eXj4+PuUsAp4zSpSqcZdne3t7W1pYlrYMMStpijDY6T5NraNsW6kFd10gXkdbz6UAC4OTQRMnJ0NjjHRpJ2nI3GP6MxzIozX/B8TN/jweHg8+l5+DIBhuUIk5N0qPiWpTzwvQyrtwM6Y4yfvB8CMHn66nLGyP9SXtVd4E5KVFllOyakpsRb28DmwteiWkKlwnnHU2AcYEjCPYgOnfINbs8Z9ib5AYv2Nyu2bT59CozXP2t/uAP/uDXfu3XvvOd72xubh4cHJBRvaiP5Ayvra0RzjBwByrmYDCAQ2iaL1ohlsXCVxnkzLKMF7A5KD4dHByQUhRF4XIUuyEXxTRPGIxOnDONFXSMlomL3yaiLUFC3sT+QWCFpfkaSW6GW2tIOoRc3GfpWbqZWXP75WS6aRruLVY7PUKEF5TfXGkPqotA8sw13MMuELoT7eoAm0Q5IJy8SafTmUwmVhZtNSAU1zWZTI6OjhDM46HPZjOkZRvN1O1Iip26IGliJpad0VRmg9DO7z4/VBqqqjIFlHiFwiFo/AcffEB3RyUBbpsMk/fMObL1cZeOabptoopeadxKSOq7aeRu52cYLQokt/9zqJRp0uTn/u+lLmNRfmS5RvUuvthPp5D+Z5DkegqHZpepT4WEYGrJvoQkIItqkG/FGPeeAWIJl8cyL9bwWul7FJf1ZeYis6fCCbfh0Xxy19WO8Lvf/e5gMPilX/ol/vlTP/VTv//7v/+iPjJThZl/VpK8wtIBxzERt6oqJtiZM2JFLtcI3V/Pr2AlsaogeBYA4w3diR9EfM+TVvc8UXCIMVLKiuIBtpcF5ktJLsUYQeRnGtf3HCBVflkLjVUnQ3aelSNzm0/M1f1G8TUkZz7TJDaXFiC/4Be5mRYdNdgIFYgnRSMdJJqQzBb2A6J2iJdyugkV0wMcGonF5Kre0S8B4Ml/mQw8mUyAHPb39xHPo35MZZoNxk/gHdiocfF46KOjIwRoXJG1gABfs1CTq8HwNhHsaJIe9jQh5p431/cO2rflSV3ZAdyn1QC9+cu8TYcgcyn+lSuTFpVVL5yELT7KQmqlxh4d99jQebN1FoSwy2SwZatBNP5f3tMhe3u5u7S+3Rgv9uGnNR0M1znCb33rWy/vI8EYCw25jTFC3iukMxRjpHLDC1wUJBJ37H92doZlpFvZ24g8wPl+msadnJwY5gKhLdUwHmO0Jw4CzbkeWBWFJFoKcaYdoDkuc/z+fHemuKyFNldjeEm4BNePlc+SSRFGbnEVMaGxWYguhABSWmrcGliN650EHDw79Ao45CsrK7u7u5k69FdWVnLNauc74tKMnOPViI4ZS8I8ELwgsdTp6SlN9wDjfDS5rKcAmuTJNRNFNU1j1JSOxsFggE2h9TCIJYHJoH7pQB7j0tGwqtQLBqGd+XNJyYRXKDn9+bpu2fP5JObXDy9cXGwkh03XfUQhhba55mCnmCFRRgwLu4gMj2gyLZ24gmO7tOgFbwMy3f77fkLXq/bwJGT9fr+U1Ag5RKfTOTw8JFcoy9JoJPaRUp+DdCNRpBpga7wA3iCZB2+CggP/zMWpMaZHJmG+qEkTbDiSEgaUG+7gso2CGuInlucXnxtGKKSFlqlrkJ+/bFyC4pYxnxSfcZRaStCVMpijE9pR8AQe4O4yJK9cXV2ls4Uzmef51tYWWuqHh4fgAaaZlGUJa5SUcWVlxXFxlmXoudBjCnY6nU4PDw/JGo+Pj/kVWCcELnw1MIMg20QTYa/Xe/jw4cXFBYoNo9HIWkWNmpS5RXw0bTyZSoOtWh5tK/2MWg3Jimqo/9Rbk0/rcmUuxaVjMvPohpVfI+S9+LKUw5l+tAPucGPzIsfKnHaWKWmLn9jcmmb8wrGoN3C9akdoPLNQX5fVq/M8hz1BOkiAk2VZv9+n47CV/IGZiq42Hx4e3r17F91kPJwxTAML9l5ke3VdA6/FpF87pXJZUiQXRzkToSZ9nzksK1OrnwO3Z91AZCptQoCOL4Ij89SVaQSxa2xp5BjUA+pc0MWzPOHuAngCmTaaVjidTmsNOuaLcKstmGApToRmOp0OOv342krjRLjhYE0EtkQqVmI0ds2npB3urmJytRQd27Z9+PDh8fHxnTt3uH5KziEEksVCckVsTr4sT4dM2jj5HHDUivpkC/gc6eDn681ZhkZcPbmSMnPD797w6FvxfsNV/QnFZZmbTKI2V5ZR5qqDjZSw5lZza62imDRWfYrXaxDdJrdAugXCAoaykwyOwMKS2yEFyRZkiC4wZiYW5cHBAQR63i0XW51yo80Q9hQpmRCCm+S8m+0J6C0DMKRYlV5/UJ5KznElYc/ZoUvcT83nbMHtXVzEflEcmacuvjX9eenWL6Ws6CKE6UsUC/ErPC/faprncJx4NToIXZFtxTmy7IBLI0VRQFyioYpX5hqoBMuX11PHraS1yPVwzfagIK4sQiXGklBIRuMm1+STIAAcoXCsEmmo83WYq6T+7VXKL7Yd3mBPzQk+X2/ysvtpJVqWJmpP/d3rTrGhTpuRuNASmkuUatE72ms2C60aYFfX5YK3L/i1z66H/Elcr/pkFmqs5rnSI+/HSbFnMplgYvyAyRqxrTg8byDLaDHrFeschPWlrJxcDONSU2oXScPelBhTPCKFaCygCc1u4bhhi2QJeaSRPPfca1pNUWlEqq6kOY7XseTSi30QNywSnTn1mSLpJsRNlon+hauMhWSogINcaqUB383sfCPehASUKh35H6/nDjdNMx6PYeTSIAEfmNte1zWKsk3ToNbNpqLhnYIlTX5kn7PZ7Pj4eC6npE0Qko6jELf04Ix5jvhmXkz1upHWzNwzzZPOsOx2mh2frzd8YTRySQpniQz3U1dxlZC3C/NpMO2gKj2AxYLMTRAgb9ORbsKY9CnO/VarVo3bXHYK7H+612vICHlCrtXxOInlsTvYLKdcQGopM4r/LYoCEUjG2eMjU4vDL2YJeZ38o5WyTLr/7Fld3GYX+mKCEEJjXLeHCxYTxHCZEHhlaMmRMMH11SSFQfluLkZlLg5tjJGSQ5TCk50ffZYmlBrBxkVFzQ/BP5nnSaRCtIED40bR9MJceAqE6ZD6o6MjY9rAm7zeXCdzj0FN2QCkpOSL5KBnZ2euIwLh8kpw2ul0ykAo1zV5k/Pzc64/KD5bhKydDrooeHsY7fP1hi+DGcZIbvmLKcK5mAguvjguEE0XYyn+CYvQP4xqkGiTrqeQYE63v+ZXaXZe73rVjhALi3WzN8JKZuIoRomtZJIIaZoGQ0bpLoSQZZknpkIlzUV0xF3RkmGXGVT1Ccl0oZTXYBzSqCBG3zXqtOLYPpfgXiZGtfHPp74D98cwyHNUHJ9j+SuXyTwKIpI20Q13em1SXJ70XQQxHg1T85QtcYeDdyqGul4IoSxLKpHI05DiwwTmjh0dHZ2enq6vrxNLoYDDJaEBm2XZ6ekpokX4OZ4pODnfAkGAEAKqCykjxssguZF8AqkykUJefBymNTlgejUl3s/Xq1xsJIT6ytuJu5pV4IrMzb+V1gKxG1cWGiETRJHk07+4fMAKOpu3NFxN0jTyqV+v2hGWUp4kAyjLEtyplLpKSDBxYnxzNJBzxCDi+WgIqzWt0B7U0T0PEvfWJvomqUcxsJAl4guLvKw2kab9mNXjWzqz1IB6i78yyJ5cKtfIp1ydvLV0ojP1vRkgTeOJVv1MhWY+hBBMmbHstempPES3WJBpmVbTti0t9ugEHR8f7+7u0lFKvILWTC7ajnsESU9jjK7/nZycsJGQdDAOEZLGZLLAXIzlRgPC2rZlDqVJN3OPkkfm6uDn6eCneGUS8cdw3eZUsl1jjG5ufuoqNEntSrpA2v9ALaAVmZlqQkgmhD+T0fisRW+vgQtkUqWLZwY8U2gLy4W5jNKRwu1NNQbWQkS8FQPK/bZBXrNOpN/zZMSzwQeD8jjOqCEmKXAaJfGwWFl8SWtu02fio9aX55y9qDUXPMYYq0Re3CiNuS2uwxcaxuRKRps0GATNgqg03MMJdy6V0Uz63THGk5OTtbU1yxQYAIhqaKnrem1tjdcDsRIw+Rbx9JumoZYMGEtZmioyzo/r5/0h9Tg8yqWUxv+iodM0DV4wKFi+Mjx3Oogd+awZlM/UYuuyb2vNp7x5ef/c3obkmqQWEvWGkETwnL6QTEDk7HwcE/HZAUVZr8ER2miS8uPb3EntMNwvLtTAB7AWRShlZ3gGUyt5dcI0197wgu6CMAjWXpYqTmlXzUKHTaO5uzGRBHypq72mdycXJ9Z6hs8B0qaf0kgcJ9N0hUxaUE5lMs1j4nEAFaaIkKMNMjD+dLJIEc4FM/tCMsJSk/9ghFKHox+RF1gh3TgtqNR4PAbYdH7WqP+PLwJyRf3S3t1Iqftn3DHC/YRXXGt0ABxaE2qCvN1inpf6vJQs+pkyKJ+1hVlgD8enKWlkl3l5t/eFDoJd+nGIGRIrkZLIPs6uu874fIrXa3CEhhxTQxkTpVpgqFysQltYdz7wAmQha0kTob9sjiWGzEKXZs9zDe5ddcYTxaQimUi9XasZEdkCS/7lrRvQ10y1RkPBKXp53dGyJ0j/4pB28beKy03EQak8Zwyw2t0p3BkAz0yTFng0pRR8HGSYNVBo9C5+i++LL6Q02Gg6oNHOmUYs0XsDwA6KHtR9zDVASM6SgVN0YtD7H2NERyaoTmn33yR62WbNWJ4jJI527qalPo8d214ztefz9alZjo+fqZzm4PuZsKVcbdNp6Lb4MpcDb/m2i+tjln4+ies1fFvcFdYH0ryrX8hfzVFCHKcbhUinEoLUOQMAhQshxBh5cyuSpPBCfnn0vHOUWrJq6QXMNJL3lYVIze10ZNK01d46JtKUcz4vJJJdfs0NH+RoN/2Jb2OeSGY4/07b7fEEvAPPyLgQ71YkfQiMWAoCfEzQ9c9bKZa5+WEwGESNhIREjg9z9rmyskKPI9dMKZHfpfF/7l5FdUoYkICzw3+l6eCie0vTQee+n0GD8hlcV8IDt/mt8Oy+0Av4/cpfXCxdP9O6pfH5lK1XfUqzZAxeCKGqKsL2qB75YqGxz4UrY3HYX8YqkQuCr9rsnp6eApn2+33bx5DMCFzEKIJqhPEynxM7Oydc9FJXmp7efnnrp3W+p7q6p75nXGiAyxIyW0pmKaRkZhfYJo3zZPyU2UKCeGeaMcIv+uckiOjIkO0ZmCXWoRjMZxVFQSMEPNLz8/NcEtgHBwe8zO2GZaKek34v0GbeNt1mQBGdZOL8ldSDtKaSJsSfNYPyGVyFRLKe9Refzxem/PYr09D2Y4wMfD7j8ylYr/oL45YwWOYfnp2d9ft9IvR0W8CjydSWjlPk1/P/v71zjY3iuuL4nVmDX2AHjKywGEcFHJVSg+q6QS4VKRQqpDZNaEIFVEaltGqrNmnaTyhJUdSXRCslqlJAkQhKQ9QqaqVIidJnsIRElEQCJIiTplZI4pol2IYG/IBd7+5MP/xzT87OzM6u17sza8/5fVrP7uyMd2buuefcc/7HNCcnJzFPJ48BAyiEkhctWpTVPYCwwJPvfJRWeaehmVJpMDpjIA6MGS5TTytEU5B8zxv347mbiMuU1VUxtIqJME4ymUQdAqLWiq23GVobD0kukDGr0QLcFMJFvBR6ezwTGENDKpXCr0deKe4NHJFWELGFW8Gsq6uq0vUzlpYoUswdNF3Joiq3D46tpdfKdSGEasYsoh9Fvh3VdGyhxcrh8Yg5pvVWSZVdwGbC+lEj6P/Z1Dl1GGFJzMzU2XrYjtRQnlio9NIgBjLUUFPuMtoDYUysra295ZZbSIDG0Cl87pMh20mhUQp5kZ321CiqHNkqq90xtEyr+60Ya9pOp42flNJ6+Y50RbAECLuIy0dG1NR9tDE9wlWA64npCFb1FGv5RodAHHXBggUQ5EOEE+2WEHjAtJ3Wp+nEsqxRKreCBlNPpU+Sk81/Cj58ZHXms1jB6GDq3pOl7UsLjZ4fgLdgachdM3QKG9/Ryi2iLx6LFWmUsPtsJ4TQKGJTBmtVg+S9LNPRRoK+qTVNYA6zTJLG0A1xUIlIFgv1ZDiWpbvoxbQ8GJ922bokgEK1NJcnA+me+1cUazrqR4Fh5pHPh+WDweOFJZbuR4psJq6kgx0pZRQxADJmMa1iQ5noqFsg+WxDN8SBOK3JkoMs3QXC0Br8/MFG+J2LIeBMbFYWQgufSq841tfXk/SM0tauGHfQioY8o0DQTVjacEF3XYx1v1G5aS8G68fEj4tbN6ZLnEsYsuxCMjdRIJysUaUURcZQm4U/4QIq1n8LLiAGF2oCR1+CITKTydTX12NHbkWQjm/rLlwWq8Ajb9LQReI84ZimWkFO6u0qVnmP5VG14BEhWg40tMQwSmJoC+wWSi8gAUOzV0OXCWI1Fx0om5qaMDNAT5KbN29C7s7hNMMEUkowt6yUBUNZ5lmmymix+hlaHoalRHU/ROOo9hnmLZvb703luoOU0RPNaXWUKTk6Srsr1trJcx3aZ0cMHSWcgJVbRRZZQpBYs3S1GZQk4SAqXQ2K4Qb5nxiz4GRAfwtmDOXPdXV12HHhwoUwk1xwD04nCdbgSmMoRK4ERjQed3UUDgYcoiw5fywAjDzy+aZLFx/LgbwrN9lCsnn4gKPglzw52B4qNrVtu7m5OZlMot2uqWVfaAqstCOIa2rnSklhO1cLAlTaYTDpZDh8KPagO4QGGk930GIVV/RTSFA0guQLnEzrG0reEcloytXO0AdxBDnhhEYty8JwRvN3ap0DAzlPN4nFUAhPEe4dulWQMhaNhpAXsZn+C+yiqRvQ89gCMjIoWdQxIbKZUFYwWFVfweouKwRGbisrpU2aqQv/kQKD5F5DZ+1mXd3UCNu2IR8DWwXPMhaL1dXVXbly5ZZbbmloaCBDq3RBBd0tZm4xZZZJwCAfx9CVyNynjLEqe7oranQPJsUSQfk527kSxhSeLcsPLsw6cBeFssafbyE/H+IIOgghEGdpoWTKXIBSaEw3e6MsTcqYQIa9aZrUZQmzGDKEGJ5iWpwahpNm+gh2UeiMuyNZL62sgNd4qjkoyonlNggFpm5S4dgI9whVfaiCQEELDBVi2u6VeVr5o2Am5bZYltXU1ESBAXyb0s4fqjI4llaM4yFTi7U7po8prQVPWTO4W+j0uDvI15gzrIeqpUt3ZHIdWWjFLvhnmW5O0p3hMRh+T4oj6EkIbZjQ71QphYU9xKBwCVOpFKoJaXUH7c5hKZEUg+EPMTRuBZW+EREU5VN+El3DaIilJpUnOcUKXA2kmoOiHIo0Ovw/RwaKYtW+thaJRamfzRTxFZMvoC9RzC2mFUdI66FtPS4lYglkVvF5OxdT10LQk6+UQt0F/RcUOOVRU5oGOeoC+T9uaxEGOnqGyR8LkWXmAdLSyOriQtyB/EFQeumRL3WLI+gghJkLpfYZuo6CGpTDvCHmCX8R3ZdoPo4taMpjuQRiKNuTfE2C0j24kLTlJRcZ8ITO0yWtWmK67wc32+40AcdThy3oR0gBGbJG5JPx6kN8D+nR1NXV4Q6pr6+HkAIuKDJubC2AB+jWUqxCBjMt/oL/8pQ/TPcDvSB3ULHkwKxLhI9HMoQoE3yA1L2w4j46GUVxBD0JevzFNUBcC2FMDI5UBWjp+mUEQrNM1xF1hHAZsUoUY6X3JB/qmUDMx0rlimsRATtnnsa4ynGvRlDCm2OjkdvCG1dQsfUJktvGVcM3J5PJZDJJcqN0LWAyrVx9AxQsGkwADwYVU6usbi3CTbWhhfqyutMbhi3u8PHjUkUEZcTAQeQ3CW9dKUQcI3/pbYUopmjVyJXUFxyE032CjywIcyFbnXt46XQ6mUw2NDQgKoWJvKELGxTrkQtjyWUe3eYNh6C709Pg8UqyYJiNZdeewR/DlTKDaY0jamrqwlClY4mwdtiX8jx5lFIpRRYRaVO47rhbMCXiT7iRpx2HlVuJTO4g1i9Nptug2D3ASyPoH3fcOTQDK9cvLMx2ggyQeo54wnQJJzSKygcki1KfAbgFSGaB5giq42lJCe4g5vvIIHWs+tpevd/IfOJP3KDuaCRPrAiG2RUU5bjLCj1TZsiH458kDwyXm/Q/+S9PjjslRtGCHEpOkYBKGcJ2rjysG4vpTiEYgIp7pVQqlUKIleKfdCY26+1l5tYgEvi2gOWHhOonmACp54gnlEDQo7CtxTzRDSerm4nwuFZMV9Nj4o/uS1gsRCiV2oWbuhQMX+52sBwpDMg2dCc1UKQ0iJ9AKRVGSk4ZMXRZId/iCIQqFjJ1RE1hWhSrwfefDfBYk6HLbyitFIU0aF5o5xGp4oFNygg1DAP5O2j/i5kZH7nodnIkoPKv5e18BYFwPyOVYDaGlKqTELRGuQQ2ya3NmzevpqZm/vz5aJRj2zYGOKXLv5RSEJHBXB4mkA9AjhVjWyt18dy/fAnuwedtzrqlQQcxrc5Dtsf0klukTF337lktgY1pTT4bRt9j6NRwMp/IIIX1gpwb3DvHV1GeS1bL7FmWBbUa8vYs3cVCaX01up08rSBMIGVmlfQTCnMcmkVV6PvdOTJCyYTThgm9BTAkYYTiOfQQuELlGawdyTHHdI8e9zdz02JrGXW+2ENjmSNkEfzSYFhVt+WlhvXpJeNk51bc8+xQvi/my9RXspikoZjW24tpSVJcUBwUYXa8oKgDeYHk/CHrFSeP18i9yuh+XqYut0DgAauSXHUIwV6lI6j5ZAEEQeXXJiwLs30yXVWEpiwT0/3HMfRA3VgpRd3MTdO8efMmVVPQ1NvTfvCgFsU5ebiVLxOSgAgfTwP7BeZSwRnZOUohcT+csVgM8x6H+85nyhgvCsZI+cdw/8Dm8TIMvDCZ6BQWoXG5seZH7iz8UdrIVzSxCE37KlaJzHOV58Z1FCqEkUebcObwHHhh5oSwRkiFWbFYDPGompoaSn6pq6tDGx2lFERAoN3scyfZrHEEaXfxNSFH/MrQrWUpj7/y//dHzCUrCKg+AXFLz+govav0FcH1wkXnBqzg4chc4TXMW0zLptOXk9IsPoZEU5tJ1+J8YAWVbnyBd5FHauuCfTiasJp8TRpTKAlMCf7EdL+wMn6nHeHGgRUihKiOqRVDeLgJSztkwGDP8BnKrchnP2iZBy8oh4rCoe55E0ZJhOYCm1XNPStIkGuI59PxP6LJO0mVOqoDKVDsGUR1YOhuIQYD9okvAUKWnWRoKPZOdxqOhWxPnruLL6ytrUWUwtANh90ZMTISCUVC0a9yfSHPghbKQjhrhCaTAqJECVqtwaBJk33KwvAsgbdY2zkyge5wqBsqLAug3Me9Zjn3oF97amqqtraWZy2RB0YtjfheVDwT85Kt8TxQjPVgo+0xLZkGFxC1+bw2g3KSYSyp6Ty/SfhlslgDKcc5SJ6CUDxFTvKKJPjVnCgQQh0heUU8V5A8s1gslkqllK7Ipjm7YsVqPM8Fa4o00ik23vmMU1R/Qws/lRvGKBzhAAAR+ElEQVTUomAFCVQHcucM84yGhgY4WO5dKKYNE1WMxB2FDdwK4IZut4SJETWqxFUmaRvcNg4HnQ8xVq6AnwPJUxCmRSxP85YSkFBEJQjBI4zpNkmUakhDD8WjGhoaMpkMxLQsLSZJYVLszmvRHPU6BfX0aAw1XN3Jy0ukrCAwtZIZV/xReh7jaeR4Fgyt+BY8CtJhDBcIk6LPl6lb3uOUEFPFHMh9JnzO7mPqJE9BKAHc5P4T9IJIKKJChOAR0lIZRTVpyQeRsdraWn69aXCkogvKekin0yVoyDqqFypnCyNoBZU2eNTSlqipqYEf5rkXrfzx+8H/QDwx2NaS65TJovRKM2ZauAqG1m/ztIJ0UEs3mvc8bjE+qyA4oCnaTJQ0JBRRIcLpR4iwp9IRUUzSMbtHpqjDdYCtgliooZvVlSCyR56ou6yt7LbQUcURHeiCOv5x/BT5nEIaJooPkCptq/g9ADuHGRICpO4GhO6hxGEdfYYbkXYUSoZucs90B38o70HuvUoQTh0hf0ECJcj9U/nHGpNJNtvTFNnjddCed5LB5LxnbroiawWBmUc4LaYbwXvuZeiiKwqAl/DrISTr9kcB7h+3kePrLj7u4HTvOkFwQ8GwIscHW/eUjux4EgAh/KxcmIPKJBRrOu8TOqBSaDQfKPJwiI9hidF/PoUheIYKgRYTtJzJ98xeKGLp2E5JUj47Un5daVfBfxHF07g61M/93UEJTAkzB5P+YoaarG4wl29uJ5SFcES3eVEzdRtX+qr7jzW8ohlCyfmKVWEyLZc2tz+w0OiMON3/joyudL80XBrcirndbhtJYK6DCAGV4ReJzUTbPd91l8DbuepuPu6g5CkIZYRCYvkeB6wWKaVIBVeoHCGERmmAQ5ScFEkoOlrQhNi2TY14MJBRNJV8kXx10MVAxYvUqa7gLhR6jVpqTD5wld0hbgQ//df8KYJKEaQiZxX+4un53EF+Jv7JojIeCeXFM0xKA5rMpwMjnKxRhA2h5ciT+or5Br5ijBdU/owbiIoOZ2KQDN303GKtdvI5CmIC3fAFP77d1DKhPiknBquyL341xT/XyTPk7tiloDsoo5JQdnjxK+IocBblZgsSP0MI3f3yHo8HBOAFutVGfMAuntkWZIfKUrVKZ0tJjKRfQ18uJtCfWB4pbUor9XGwqP4PI0LBpHNbN9HN9wFHGbLNujrTRv/VQSmZECqEwdSPp5tNKpQF7+H7Zz/72aJFi1paWpqbm3/yk5/MMHmEQzmi8BgQ4SxyX0qd8v9YJW4jqHYp1qyOJ+CIFcxHzEtKmxf/+e9LkXPUQvgsGfoHRXEg7vkhRcthBVX+3iZSMiFUmmKy+YQK4T2C79ix4/333x8fHz9//vzzzz9//Pjxch0PVYAIOU5r7kNWMMQbhcxhkTmoApw/x0SKItvZQv14ERHl4umemQWOtE833B3EPMbdzyTfHMsuoleiIAizGu9oz9q1a/Hitttu6+rqunjxYnmP6j9/d1MNVpCQMXFaeKosUqFhwfU/vIWPeWYWFNQgJnfQzi/F7r86KFdcEOY2eYePgYGB06dPv/HGGxcuXHjiiSfyfcy27bGxsatXr/KN9fX1DQ0N+XaZbqV5VVlBoQTcWTPYUqToFGUTqNzMAiq58TdUcAdpAcbzxstXvO9f1SoIwtyg5uDBg45N3/3udxcvXjw4OHjixIn+/v729nYfKY2xsbFvfvObjin29773vYcfftjz8+Pj4z7aIm7EClaaycnJAH5bd/SSur0rFq70ORPy57ALrRcavi0eSdtW5ebFuL/Z/W4oUrGpVMpkSuVC6ATzgAhFYllWMpmcVpF3Q0NDwUe4ZmxszH0kpdTWrVu3bt2qlNq9e/ejjz56+PBhz/2bm5tffPHFO++8s/jTamxsLPLGEisYALZtL1iwIIADORTSeVKoctm5fJBiO8kp0Dfwihr6E5nP/qoclA/MN6IUJ3hRK5yqGMLqIbAHRCgGzJh9Io6lUfOrX/3K/xNr1qw5c+ZMeY9aDGIF5xgOKW04iLQCV6QeMVqOwKYidwm6Cop1o8RMjsQW/OtzHAmlgKfnlOefFwShivGe7T7xxBP9/f2XLl3661//evjw4bvuuivg0xIrOPcg3QPaQmpqfAsyaByJpvAXsZ1yd6mkgXQVUK2PRs1wrQrW57jrC6lgQ+49QYgI3qsmAwMDR48evX79ent7+y9+8Yu9e/cGeU5iBecq1HSQrqxnHg3SYRCxhFdHdo6rGfhnXVF3Q5/zcdcXhhIOFQQhXLwNoU+aaEWh9qqi4jEncYRDla6jcCRtIkxK2z2dM7KX+Iw7tqmKKHRx1BdKOFQQoknI9sbOBb6CWME5jFt3ze0mgoLpmrhVMHnierBFzqUokdVTbk0QhOgQgug2Bh1EpQyNSFhFBxLdxp+GbstVWrkel0fH8p5t2wWzLslYFpmtKgjCHCacKTDMnli+aEK6azxA6lafme53QnpmampK6Zin26HE9IvWF6kwX25FQYgyIfQjlHFHcOuuOYorSoN3+HJ0bKYIhMo1k+IICoIgiyJCOCBflGZF1Jup5IxNLl5Dy4f0LllcmFuxf4IgEJImLoQDfDIkztCWgv0o8oE1P4d5Mxg+HxMEIeKIIRRCA6URqN5TrDH9dL8HgdCC5q3IjwmCEDXEEAphQtUyWDJ0q88UhCSzCy48T7f5lyAIEUEMoRA+pKyGIoppGcIi28dTF6cZnaggCHMRGReEqoDCpBBUKzJAWrA3PSjYvFcQhCgjQ4NQLSBMSkXx+fw8LkWkipCDoX5PlThnQRDmADI6CNUF/MJMJpPJZEgghkRoSYeveDUiWRoUBMEfMYRC1YHOtMlkUimFdoO80dK0vkqWBgVBKIgYQqEaMQyjtrY2nU5T98ESkE4mgiAUg8yUhSrFNE00l+dF90WCdcGShbwFQYgUMlkWqhp0sYdwaDFLfdTepIQ4qiAI0UQMoVDtUJ9e9KzP5+QhoQb2UkygIAjFI+OFMDtABo1SyjNSms1mUXcxb948sYKCIEwL8QiF2YQ7UgqpUjKTgiAI00UMoTDL4JFSpSVppExQEISSEUMozEqoml5MoCAIM0QMoTBbERMoCEJZkLQCQRAEIdKIIRQEQRAijRhCQRAEIdIEbQiHhoYmJiYCPqiQj3Q6feHChbDPQviY0dHRK1euhH0WwscMDAxMV+FPqBxjY2OJRKLsXxu0IXzggQdOnToV8EGFfCQSia997Wthn4XwMb/73e+OHTsW9lkIH7N58+axsbGwz0L4iL/97W8PPfRQ2b9WQqOCIAhCpBFDKAiCIESamdYRZjKZc+fOFf/5Dz/88I033mhoaJjhcYWycPny5VQqdfLkybBPRPiIoaGha9euyRWpHrLZ7CuvvLJgwYKwT0RQSqm33nprdHR0Wg9Id3d3Y2Oj/2cM27Znclp/+tOffv/73xff+3RiYqKurk56pVYJlmVNTEw0NTWFfSLCRySTSTQlDvtEhI+4fv16U1OTqDdUCel0empqqqBh4zz11FOrVq3y/8xMDaEgCIIgzGpkjVAQBEGINGIIBUEQhEgjhlAQBEGINGIIBUEQhEhT2ezNdDrd19c3Nja2adOmJUuWON597bXX3n///a6urttvv72ipyEAy7LOnj377rvvtra2fuELX+C5u4ODg6TsZRhGV1dXSOcYIRylR0uXLo3H4/wD8oAEzDvvvHP9+nX6s66ubs2aNXh95cqVwcFBemv16tVSA1Y50un0wMCAYRif+tSnaOO5c+f+/e9/r169et26dY7PJxKJU6dOtba23nnnnaZZkndnV4xkMvn5z3++p6dn586dS5YsOXfuHH/3wQcfXLFixbe+9a3W1tY//OEPlTsNgfjiF7+4Zs2aXbt2rV27du3atf/73//orX379nV0dGzZsmXLli3btm0L8SSjw8jIiGEYWzRPP/00f/fHP/4xPSDPPPNMWCcZKR566CG6HMuWLdu0aRO9dfTo0dbWVnp3YGAgxPOc2/zxj3+sq6trbm7u7OykjQcPHozH43v37o3H47/97W/55/v6+hYvXtzb27tu3bq7777bsqwSDlpBQ3j8+PF169al02nbth955JH77ruP3nr33XcbGhoSiYRt2//4xz/i8Tg+JlSUt956Cy+y2exnP/tZfj/t27fvN7/5TUjnFVFGRkZisZjnW/wB+fvf/75s2TJ5QAJm9erVfGpy9OjR7du3h3g+0eGDDz4YHR197rnnyBB++OGHjY2N58+ft237/PnzCxYsuHbtGn2+p6fn0KFDtm1PTEy0tbX19fWVcNAKrhG+8MIL27dvR/xtx44dL774oq1rFl966aWenh4EgrZs2ZJMJk+fPl25MxHA6tWr8cI0zWXLlt28eZO/+8EHH/T19b333nthnFp0efXVV19//XVHSxb+gGzduvXGjRtnzpwJ6QSjyCuvvDI0NHTvvffyjePj4319ff39/dKMoqLceuutjnW0EydO3HbbbZ2dnUqpzs7O5cuX9/X14a3R0dFXX331G9/4hlKqsbHxK1/5ygsvvFDCQStoCBOJRFtbG14vX748lUrRKhR/yzTNeDxeic4aQj7OnDlz8uTJnTt30hbTNE+dOvXrX/+6q6urt7dXHvVgaGlpOXDgwPe///2VK1fSs62USiQSy5cvx2t5QILn2LFju3fvdsiqJRKJgwcPbtu2raenZ3R0NKxziyDcXiil2tra6HFIJBK1tbVkONva2i5dulTCISqYLJPJZGKxGF7jRTqdxp/pdJovadbU1NBbQqUZHBy89957H3/88Y6ODtp46NChefPmKaVGRka6u7ufffbZPXv2hHeOkaClpeXSpUt4NB5//PE9e/YMDQ1ByksekBCZmJj485///K9//Ytv3LNnz759+5RSU1NTd91114EDB44cORLSCUYObkpU7uOQTqd50l9NTc3U1FQJh6igR3jrrbfSvAnLIa2trfhz6dKlfEo1MjKydOnSyp2JQCQSiS996Us//elP9+7dy7fDCiqlWltbt23bJoG4ADBNkx7v3t7eRCIxPDyMP+UBCZHnnnuuvb19/fr1fCM9IPPnz9+5c+fZs2fDOLWIsnTp0pGREfpzZGSE8qvj8fjk5OSNGzfw5/DwsCP1ukgqaAg3btz48ssv4/XLL7+8YcOGmpqaVCqVTCY3btx46tSpZDKplHrzzTfHx8clXz8AhoeHt27d+p3vfOeBBx7AFtu2x8fHbaY3i+VoHogQAuD8+fN1dXUtLS3uB6S/v39ycvIzn/lM2OcYFY4dO/btb3+b/pycnMxkMvwD586dW7ZsWeDnFV02bNjQ398PWzgyMvLmm29u2LAhm81OTEzE4/FVq1bBfbdt+8SJExs3bizhEBUMje7du/exxx770Y9+tHLlyl/+8pfPPvusUurBBx+cnJx85pln7rjjjnvuuefuu+8+fPjw/fffv3DhwsqdiQC+/vWv37hx49q1a/v371dKdXd3r1+/vr29fWhoqLe3d/PmzU1NTS+99NLly5cRBRIqylNPPfXaa691dnYODw8/+eSTBw4cmDdv3g9+8AM8IN3d3fKABM9//vOf06dPP//887Tlk5/85GOPPfbPf/5zyZIl8Xj87Nmzf/nLX/iCrlBe3nvvvSeffPLtt9++fPny/v37Ozo69u3bt3Pnznvuuae3t/f48eO7du1qa2s7efLkl7/85VQqtX///h/+8If//e9/X3/99Uwms3379hIOGnv00UfL/Y98RH19/a5du955553R0dGf//znmzdvVkotXLiws7NzxYoVO3bsmJiYuHDhwu7du++//37pchIAjY2Nd9xxxyJNe3v7ihUr4vF4T0/P4sWLL168ePXq1Y0bNx45cqS5uTnsk537tLS0XL16dXBwcOHChQ8//PDu3bsVe0Duu+++yclJeUACZnh4eNOmTd3d3bSlpaVl/fr1K1euvHjx4uXLlzs6Oo4cOUIJ2ELZSSaTo6OjHR0dmzdvXrRoUTwev/3227/61a+apvn2229v27btkUceMU1z/vz5n/jEJz73uc91dXV9+tOfPnPmzKpVqw4dOlRa50hpwyQIgiBEGtEaFQRBECKNGEJBEAQh0oghFARBECLN/wHMmUW7skeznwAAAABJRU5ErkJggg==",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 6
}
],
"cell_type": "code",
"source": [
"p1 = plot(x, f, label=\"true f\")\n",
"plot!(x, samples, label=\"\", color=:black, alpha=0.02, lab=\"\")\n",
"plot!(x, mean(mfull[1]), ribbon=sqrt.(var(mfull[1])), label=\"VI\")"
],
"metadata": {},
"execution_count": 6
},
{
"cell_type": "markdown",
"source": [
"### And we can also plot the predictions vs the data"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=3}",
"image/png": 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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 7
}
],
"cell_type": "code",
"source": [
"p2 = plot_data(x, y; size=(600,400))\n",
"μ_vi, σ_vi = proba_y(mfull, x)\n",
"plot!(x, μ_vi; ribbon=σ_vi, label=\"VI\")\n",
"μ_mcmc, σ_mcmc = proba_y(mmcmc, x)\n",
"plot!(x, μ_mcmc; ribbon=σ_mcmc, label=\"MCMC\")"
],
"metadata": {},
"execution_count": 7
},
{
"cell_type": "markdown",
"source": [
"---\n",
"\n",
"*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
],
"metadata": {}
}
],
"nbformat_minor": 3,
"metadata": {
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.6.0"
},
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