test_matplotlib_3d_chart_3.ipynb

{
 "nbformat": 4,
 "nbformat_minor": 2,
 "metadata": {
  "language_info": {
   "name": "python",
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   }
  },
  "orig_nbformat": 2,
  "file_extension": ".py",
  "mimetype": "text/x-python",
  "name": "python",
  "npconvert_exporter": "python",
  "pygments_lexer": "ipython3",
  "version": 3
 },
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": "Using matplotlib backend: MacOSX\n"
    }
   ],
   "source": [
    "%matplotlib\n",
    "\n",
    "from mpl_toolkits.mplot3d import axes3d\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "'''\n",
    "def get_test_data(delta=0.05):\n",
    "\n",
    "    from matplotlib.mlab import  bivariate_normal\n",
    "    x = y = np.arange(-3.0, 3.0, delta)\n",
    "    X, Y = np.meshgrid(x, y)\n",
    "\n",
    "    Z1 = bivariate_normal(X, Y, 1.0, 1.0, 0.0, 0.0)\n",
    "    Z2 = bivariate_normal(X, Y, 1.5, 0.5, 1, 1)\n",
    "    Z = Z2 - Z1\n",
    "\n",
    "    X = X * 10\n",
    "    Y = Y * 10\n",
    "    Z = Z * 500\n",
    "    return X, Y, Z\n",
    "\n",
    "'''\n",
    "\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "x, y, z = axes3d.get_test_data(0.05)\n",
    "ax.plot_wireframe(x,y,z, rstride=2, cstride=2)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": "FPS: 25.165369\n"
    },
    {
     "data": {
      "image/png": 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5tLS04JNPPsHIyAiCgoLIKr/RaERzczOam5vd9g0MDERxcTGioqJQUFAApVIJgUAwwWNhKlnv7ZZeuN58LJ1D1el0EypI6Caa9PQ6Pz8fCoUCdrt9Ahn7Ky3gz/SCvzAZ6XoaezunFgCWdK8bEokExcXFpEMDrdhRKBQ39Lw8Hg95eXnIzc3F2bNnsXbtWrcP5vXIgMeDoijMnDkTZWVlEIlEePfdd92meUyI0GAwoLOzE3a7HTt37iTb5XI5VCoVVCoVkpOTER4eTortXVMUfX19fiv+v50UaZNFqJORcXh4OFlwKiwshEqlIqIP14cYk5mOK/wZ6foLky3IeRo73q/4dgNLutOEXC5HeXk5ampqwOPx3AQN/s7TuoKiKJSWliI7OxunTp3CX//6V49G5dORAY+Ha8riypUr+Mc//oH7779/Ql7Nl5Kx8TldupxovOENXaLlWi/rdDphs9lgsVgIGU/HKcufOd3rJe/pTMHpxSO65A8AMjIyoFarcfbsWahUKsTHx6OoqAhyuRxWq9UtMu7q6pqw+Efjdox0aQ9mJmBJ9y5EWFgYqqurUV5eDqfT6VHQcCNIVygUoqioCKGhoXA4HMTL1ht8mYaPLxnjcDjIyspCcXExLl++TFIWPB7vuup0fXEj0+v10Ov1bvWyXC4XJSUliI6ORkxMDJlu22w2N0Lp6uqa8GDwdI7rhT9ylv7KxfJ4PFKG6ErGwDUiDQ8Ph0qlQkJCAkpKSiCTyWCxWCakKfwV6XK5XL8JR3yJdAUCAZteuFsQGRmJOXPmID8/H3a7HTqdzuuHyp+kKxaLUVJSguTkZBw5cgSdnZ2or6/3azRit9vB5/PB4XCg1WpRXFyMixcvYt26dW76+1tdp2u32zE4OAgej4ddu3aR7a6kotFoUF5ejqCgIJhMpglkPDY25jf5rj+O4y9ymqxkzGq1oqOjw62BJnCNoOj7lpSUhLKyMiiVSgBAUFCQGxn7ujglEAj81irKl5wu3abqdgZLulMgPj4e8+fPxxNPPIFLly7h/PnzU+bxfCVdOhXg+qWRSqUoLS3FjBkzcODAAezcuRMOhwPp6el+nwI6nU7ExsZi1qxZuHDhAj744AOPcszJWrAzwY2SAXsjFaFQSCS9mZmZmDNnDsRiMaxWK0QiEfLz8wmpTIcg/NH2x1+kOx1FmsViQXt7O9rb28m2vLw8iEQiNDU1ES9j+iFmsVjciHiyGYVQKLxlpNvb2+uX894osKTrARRFQaPRYOHChUhMTITJZILVaoXJZGL0JbNarT6RrsViIZGKTCZDeXk5oqKisG/fPmzdutWNaHzJ1U4FLpeLnJwcVFRUoL+/f8JinCd4I1gmZOov0mUaLZtMJrS0tKClpcVte3x8PDEXysvLg1KpREBAAIaGhtyi4qlaB/kD/iTd8RaN0wGfzycCnra2Nre/BQQEuBnLV1RUQCqVwmw2k7pkf6cpAN8IXCgUsqR7J2EyQYPZbGZMpL4qr6xWK8LCwjBr1iyEh4fjxx9/xPfff+81qrveul4ul4vc3Fzk5+fj7Nmz2LZtG8LDw6ft/HSnyYBNJhOGh4exf/9+t+1BQUHEXyEpKQnh4eHgcrnEk/d6bCC94VZGup4gEAi8dhs2m81obW2dUHdOk7FKpUJqaioqKysREhICgUCA+++/342Qp+OhQIsjmID2b7idwZIurj3d6Q4NYWFhGBoamvDBMpvNjNvf+ILw8HCo1WosWLAAtbW1uHTp0qTjrVbrtCNdumV6Xl4eGhoaSOWDt44QnuCJNG+Wiflk1+ArPD3Q6L5jFy9edDuXQqEglRSuNpDBwcGoqakhhOypo+9U8JfXwa2UAXsi48TERKSlpeHUqVNQKpVEuRgYGOiWa6f/nyxK9zVVcbuVvI3HT5p0aUHDwoULERQURDo0eILFYvEr6arValRVVSEgIAA9PT3Yvn07I3vF6SjYXGt6T58+PaHMzJeaXk+41SbmvsKXOl3X1kGuBukcDgcvvfQSent73fwVaOGCa5rCW3kWcI10byfDG3+lBQICAmA0Gj2md1xz7enp6aipqYFEIoHJZHIjYnrhk+n7RXsy3O74SZJuYGAgKisr8fjjjxOX+6kaPZrNZkil0us+d3R0NCorK0FRFHFNWrRokU+WjUzHOhwOt5re9957z+MXypfOwd6cspRKJYKDgyf1DPBHThe4/kjXH5Gyw+GAzWbD6dOncfr0abKdFi6oVCrMmDHDrTxrvCfF6Oio3yJdf5We8fl8v5Gut+jUW66dlpArlUpkZmZi9uzZkEgkCAkJwdKlS93SFJ5SCP5cvLuR+EmRrqugQSKRICcnBx988AGjfc1mM5G6MgEd1dFP3vj4eFRWVsJsNqO2ttYtqqUX0piAyUIan88nUttz5855JVsa0410ORwOsrOzUVxcDIPBAKVSCYVCAavVSr4cOp2OEMztktMF/GeGPh6ehAuA+yJUWloaqqurERgYCC6XC6PRiNHRURLlTSe37q9I11+VMZORrjd4k5C/9NJLOHXqFBHKzJ07FyKRCGNjY+SeDQ0NwW63+2Ux8UbjJ0G6tKChrKwMFEWR1t1z5sxhfAxfy8BoIo2JiUFFRQWGhoawefNm9PT0TBjrL3tHgUCAgoICaLVaHD9+HC0tLThy5MiUkYsvpEtRlFs97/nz5/Hhhx8iISEBR48eJdfhafpos9kgEAiQl5dHviy+RlUSiQQKhQIajQaXLl2aFnn6SwbsC7wtQhUXF5Mmmjk5OW4GQXRErNPppuwq4q+crr/SCwKBYNK0ClPQM4GmpiY0NTW5/U0sFpP+dyUlJYiPj4fD4cD27duJNN61TdN4zJs3D3/5y1/A5XKxdu1a/OEPf3D7+xtvvIGqqipyLroLNXDte0h7K7e2tmLJkiWMX9NdTbrjBQ1dXV1uUzBfprq+LKRRFAWBQICnnnoKOp0OmzZtQn9/v9fxvpSYeSJogUCAwsJCZGVl4dixY0StNmPGDEaLbkxJl8PhQCQS4fnnn8elS5dIPS/tPEbDYrF4LDmaMWMGyWMXFBRApVKBz+eT6gA6KvbUlyw5ORmVlZVISkoCAOTn55Pp/fbt230qiL9dom3g2pe3p6cHBw8edNsulUrJ4l1xcTGUSiX4fD4xCKL/0a3mb8dI119pCm+R/9jYGK5evYqrV6/i4MGDyMzMhFqtxqOPPor09PRJBR0cDgdvv/025syZg/b2dtTX1+Pbb7/FuXPnyJiXX36Z/Pzzn/8c2dnZ5Hej0ej2uy+4K0l3xowZmD9/PjIzM2GxWNDR0eExwe7Ll48J6VIUhYyMDJSWlkIoFGLTpk0TpkqeMN1INyAgAIWFhZg5cyaOHj2KNWvWuEU7TGt6p3IZow1vSktLwefzsWbNGrdpHNO0wdjYGEZHR7Fv3z63Y9PVAWq1GpmZmcRngTb8Tk1NRVxcHNnHaDSiqakJKSkpyM7ORnZ2Nrq6urB27VpG0dWtiHS9wVupF+0d61rNQlGUm0FQamoqiZIDAwNRWFiI5ubm62ob5M+FNH/kV0UiEeN0i1gsxtDQEPR6Pfbs2TPp2Pz8fFy+fJlEz5999hmWLFniRrquWL58OX7zm9/4dvFecNeQLkVRpENDYmIijEajW4eG68Vk1QuuXgVXr17FJ598gjlz5jD+0PmSuqDVVFVVVcjIyEB9ff0EsqXhC+l6inQpikJmZiZKS0tx9epVfPTRR1i1atWEvJkvngrjydlbdQCXy0VWVhbxJabfR7pLRUREhFtvLbVajV//+tfYuXMntm/fPun77i/S9UfEzOVyGX9OnE4nBgYGMDAw4EYOHA4Hzz77LLq7uye0DaIrKVzN0SeDvyJdf5K3L6Q7XpXoDZGRkW4zsfb2dhQUFHgcGxMTg/j4eDfpuVAoRH19PWw2G15//XV88803jM4L3AWky+FwkJmZiYULF+KJJ57AN998M2UlAg36C8vkC+hJHMHlcjFr1izk5+fjwoULxBgG8J1IJRLJlOOEQiE0Gg2io6NRV1eHd955Z9IVa6ZVCeNJlzYpLy8vR3NzM/72t7+RonZv94zJPfSlekEsFuOBBx4An8/HyMgIpFIpvvrqKzgcDixcuBByuRzt7e2w2+2Iiooi/hFz5sxBRUUF1q1bN2XN8+0Af4gjHA4HnE4nzpw540ZQdKcK2o+3oKCAuI65VgK4ynn9lRv2hSwngy+R7o3y0n3kkUfw5Zdfus2WY2Nj0dnZScj4zJkzuHr1KqPj3bGkSwsaFi9ejNDQUAwNDfkshaSJlEmk4UqitHx01qxZaGho8Cif9ZV0JxsrEolQUlKClJQUtLW14ciRIzhy5MiUx2VqTk6TM91+p7y8HG1tbVi/fv0EbT1NnOOJgskDzBdxxNKlS8l7w+Fw0NLSggMHDqC6uhoBAQFwOBzo6OjAl19+iZdeegkRERFwOp1wOBzg8/l45plnMDo6iitXrpB8sU6nQ39/v188E/wFfyrSxkeorp0qXOFqdOMq5zWZTJDL5SgqKiL7Tbcl+s3I6Xoay9QCsqOjA9HR0eT3qKgor1HyI488ghdffNFtG12d0tTUhN27dyM7O/vuJd3JBA1Go9GnWj2TycR4PD2FLisrg1arxcmTJyctxfKVdD3ldEUiEUpLS5GcnIyDBw9izZo1SEhIQGxsLKPj+pJekEqlePbZZ9HR0YG///3vXhch6JY90yFdJmkIgUCAhQsXIisrC8C1eyMWi/Hll19CIpGQrsbHjx9HeXk5BAIBIiIiYDAYMDo6irq6OjzyyCOw2WwIDAyERqNBa2sr1Go1cnJyEBwcTO5JWVkZYyvIGwV/ki7T43gyugGufbd++ctfwuFwYObMmZg3bx5EIhEMBoPb4h2TqhN/5XR9MbsRCASTLli7or6+HklJSYiLi0NHRwceeeQRrFixYsK45ORkKBQKt4VOuVyOsbExWCwWhISEoKSkBH/84x+ZvSDcgaSbm5uL5cuXQ6/XT0gj0CTKtFTFbDYzGi8UCklpj81m85pDdYUvpDu+TlcsFqO0tBQajQYHDhzAO++8QyIzXzsCTzU2OTkZVVVVEIvF+Oijj6a8F7S94/ioisli2lSRbmRkJJ5++mkEBgbC6XTCYrFAKpXC6XTixRdfhMPhgFAoxKVLl7Br1y7k5eUR4UdAQABSUlIQHx8Pp9NJXrdQKMTChQtRW1uLv/3tbwCApKQk5OXlwWg0ukV6RqORVFDodLppu4/5An/6zl4vTCYTLBYLDh8+7LY9MDCQlADm5+dDpVKRkjD6ftGVFPT3wl85XV8dxpimF+x2O37+859j27Zt4HK5+PDDD9HY2IjXXnsNR48exXfffQfgWpT72Wefue2bmpqK9957j8z6Xn/9da8LcJ5wx5GuTqebUIpEw2QyQSQSMT7WVBUJEokEJSUl0Gg0OHTokMfSHm+YTqQrkUhIR9MDBw6gtrZ2wjTYXzW9Go0GVVVV6O7uxmeffYZHH32U0cPKWxt2YOqFpckiXR6PhxUrVpB7RlEUabFtNBqJGtButyM5ORm//vWvyWvLysoixJWfn4+hoSHI5XJs2bIF1dXVJNebmZmJt956C3a7HSMjI6SumAZd96lSqZCXl0fIZXBw0K2kraenh+RRrxe3E+l6A9348cqVK27bZTIZuV8ajcbNIEgulyMjI8NrCSBT0DXLTOCrreOWLVuwZcsWt23jKxRee+21CfsdPHgQM2fOZHye8bjjSHeyp57JZPLJH8HbeKlUirKyMsTHx7uRX35+PuOFN4vFAplMxug6+Hw+YmNjsWrVKuzfvx87duzw+iG93kg3MTER1dXV0Ov1+OKLL3xubeLNyJxJvnayhbR58+YRA20AqKurQ0VFBQ4fPoz29nbcd999oCgK3333HaKjo5GSkkLy0FarFYcOHUJJSQk4HA7kcjlsNhsqKysxMDAAlUoFAFCpVHjttddQW1vr8Rpc6z5dIZfLoVarSZlWeHg4KXWrrq4mhDydNjH+kgH7A75WdQwNDWFoaAgXLlxwO0ZwcDCefvpphIWFkRJAAOjt7XVLUzBpM+9rU8rb3cAcuMtI12g0+hzpCoVC8jstE46MjMS+ffuwZcsWtw8FHWUymeK81UgAACAASURBVDYxiXQDAwNRXl6OhIQEWCwWvPPOO1N+CH0xvHGtXkhISEB1dTX6+/vx5ZdfMs59jcf1RrqexsTFxaGyspL8fvXqVaSkpICiKBQVFbmNXbp0Kbm3DocDIyMjCAwMRFlZGcxmM3g8Hk6fPo2oqCiEhYVBKBTCYrEQL2SZTIa5c+eir68PmzdvZhSB0X3cXKeQAoEAL7zwAvr6+txaB9FG365pismsBv1leOMP+KNczOl0oq+vDyaTya0BKYfDIZUU0dHRyM3NRXBwMBGHuN4z1/WEu83AHLgDSXeyHBud02UKOtINCQlBRUUFwsLCsGfPHnz33XceyY9ORzAh3cnSAFKpFOXl5YiNjcXevXtRV1eH5cuXM4oyfLF2tNvtUKlUWL16NYaGhrBp06brLqnxFOkGBwcjOzsbSqUSbW1tpEpg/OvxFA0HBATgmWeecfu7Wq2GSCSC0WjEnj17iKUiXZdLn5+iKDQ3NxMRzOjoKIKDg5GZmQmbzUZMaQQCAQQCAS5cuICgoCAAQGhoKP7rv/4Lb7755rQbGVosFpw6dQqnTp0i2wQCAZlyp6enE9OW8bLe7u5uWK3W2yrS9ZfZjSc4HA5SpuZ6v1wNghITE1FaWgqZTEaM0aOiotDc3Iy+vr4pfXI5HM60/HpvNu440p2shMVkMvnkBCYUCjFz5kxotVrs3r0bly9fnnS8L3laT/nioKAgVFRUICoqCnv37sUPP/xASMQXlzEmpBsXF4eioiJYLBZs2LDBbxGAa4pAJpOhqqoK4eHhRAnlWiVgs9nccqH9/f1uUTJFUXj11Vfd8rgAyINTJBJh/vz5pAsw7ftA4+LFi8jIyABwLRr985//jJUrVyIzM5N0aA4JCcHGjRuxdOlSJCcnk2jbbrdDLBbjlVdewY4dO1BbW+vT1Npb+3WLxeLRYyEwMJCo7oqKioisVywWw2634/Lly9DpdH5tNe8rBAKBX4QRvjxIpjIIio2NxYwZM5CbmwuJRILR0dEJfe9cAzHWZewGwG63e81rMo10IyIiUFVVBblcDp1Oh40bNzI6ty/+C66RrkwmQ0VFBSIjIz12hWBaTwtMnV6IiYlBTU0NjEYjjh07RuS0/gJdXlZYWIioqCjU1dXh66+/RmpqKi5evOj2UKSNb9RqNdLT0xEZGYmoqCisXr0aOp0OqampkEgkMJvNpDEmDafTiUOHDiEoKAhpaWng8/lwOp3kvl28eBF/+9vf8Morr0AikSA8PBzLli2DWCwGADQ3NyMyMhIcDgcLFiwg0fHY2BhRuI2OjkIsFmPevHnQarX485//zJh4fa31NRgMuHz5stuDnaIorFq1CjqdDmFhYaTVvMPhIEoyur54Kh+BO8XWkSlogyCTyYRvv/2WXJfrYuesWbOgUqkQFBQEoVAILpeLxx9/HA0NDTh37tykAdpUZjdPPPEE/vSnP5Ha3bfeeos4Ej7++OP4z//8TwDA73//e1IVwxR3HOkC18g1MDBwwvapcrrR0dGoqqqC0+lEXV0deDwe0tLSGJ/XF9K1WCyQSCRYsmQJ1Gr1pGkLX+AtbREdHY2amhqYzWb88MMP6O7uRnp6uk92lFNBJBJBrVZj8eLF2LlzJzZv3uwmzx2fOhhvfCMQCLB69Wp8/vnnWLBgAVngEggEZBGHfgANDQ0hMzMTTqcTVqsVQ0NDOHLkCBYsWADgWtnX888/D7FYTM6bm5sLiqJIx+A33ngDv/rVryAUCjE6OgqBQICzZ89CpVIhJibG7UGnVCrx+9//HuvWrZtyxgP4JxdLv97z58+7pTi4XC7pKJKQkIDS0lLS3dg1RdHV1QWTyXRLu0Z4gr+EEcDE0jNvi50JCQl48MEHERISghdeeAF79+7Fxx9/7PGYTMxuAODzzz/HL37xC7dtCoUCv/nNb5Cbmwun04ljx47h22+/ZSzKAO4y0vUW6c6YMQMVFRUwmUzYsWMH8bJVq9U+5YCZdo9QKBSYPXs2YmJicPjwYZ902VNhfAVAZGQkampqYLfbsXXrVjf10XS6THhCQEAASktLkZKSgtHRUezYscNj2R7T6oWQkBDMmjWL5HDp/RwOB9rb2xETE4OBgQE3k5uGhgaUlZWRcXTHBuBaVBsVFUWIOzAwEHK5HEuXLiX7j4yMQKVSITc3l+SG6UiXw+GQ1NFzzz2HxsZGfPzxx5NGj/5StXkSNdjtdhLhukIoFJIURXZ2NrGBHB0dhVwuR05ODhEvTCfyvd3MbnzB8PAw9Ho93nzzzSnH+mp244p58+Zhx44d5CG5Y8cOzJ8/f0It72S4Y0nX23ZXEtVoNKioqMDAwAC+//77CdNsXxfepmpOqVAoUFVVhdDQUOzbtw8KhQLnz59nfHxfEBERgZqaGjidTrcHiSuutw2PQCBAUVERMjMzcejQIaxZswYLFiyYdp80mmSfeuopAP+sxaX3HRsbQ1RUFAYHB7FlyxY89thjkEqlaGxsBJ/PR1BQEGw2G5xOp1sEHxcXB6vVCg6Hg7/85S9YtmwZoqOjkZycjB07dmDOnDk4evQoSkpKoFAo4HQ6MTg4CIVCgTVr1mD16tXk4eR0OpGWloZXXnkFb775pldZubecrq/wpU7XZDJ5NPmOiorC0qVLIZVKSb0sh8OBXq+fkFOfbKblT7Obm026gYGBjBfRmJrdPPDAAygvL8fFixfx0ksvob293eO+9MOfKe5I0p2sDYhQKCT+Ad3d3di4caPX8ihf63q9pReCg4NRVVWF4OBg7N69mxit0AbI/oRarSYNEXft2jWpq5IvNb10FOpwOMDj8VBQUICcnBwcPXoU7777Lpm+eiNyJqRLk+X4FBBFUejv74der4dGo0FQUBCef/55ksM1m81ITU2F0+nEV199hYyMDKSmpgIAzp07R1oFAcCiRYvQ3t5OdPWxsbHo6OhATU0NAgICCInS5OtKuAaDgajh5HI5fvOb32Dv3r3YunXrBDK6FaTrDUajEYODg252hvSMQq1Wu/Vws9lsbgtROp2OkJU/I92b3RxSLBZPmvf2Fd999x0+/fRTWCwWPPPMM/j4449RU1Pjl2PfkaTrKdKlvWyVSiUSEhLw6aefTqmw8rXZ5Pg+aSEhIaiqqoJCoUBdXR2jXKA3TOVdoFKpUFNTAx6Ph5GREaxfv37KY/pCuna7HQKBAFlZWcjLy8OpU6eIGfr4cdOt050/fz5Z6KJfJ70P/eW3WCz47//+bzz33HNQq9UAAK1WC4qi0NbWBr1eT44xNjaGDz/8EC+88AICAgIgkUiQkJCAmJgYcnza9JyiKJw4cQImkwmFhYUYHByEXC4Hn89Hc3MzqcAYHh5GcXExgGvEVV5eDo1Gg7feesvtYX87ka6nnC6dgunt7XXr4cbn84mkNyUlBZWVlQgMDITRaITNZoPJZEJMTAy6urqmTZz+Si/48hCgvXSZgInZjWugtnbtWuKt0NHR4VZTHhUVhd27dzM6L407nnTp1jFFRUW4cuUK+vr6iG56Kvg6/aZJOiwsDJWVlZDJZKirq5sgj5wO6FKw8SSnVCqJs9bOnTvR1tY2wfHIG5iSLofDgVgsxjPPPIMzZ87g/fff9/qlmY4ijcvl4rHHHkNGRoZbOgG49rqHh4eJGKKxsZHkLUdHR/HZZ5/hZz/7GYBrU8ioqChERUURRzHab2HDhg2oqKiATCZze5CeO3eORMVhYWEwGAygKAoymQw9PT0IDw8nX8CMjIwJRErXDb/22mv4/vvvcfDgQfLguV1I15sRuidYrVaPZjdisRjV1dWQy+VuEmjXThU6nQ69vb1Tvm5/pRd8EUaIxWKPrbA8gYnZjUqlIusjixcvJvnebdu24X/+538gl8sBAHPnzsUrr7zC9CUBuINJl8fjYdasWcjLy8P58+exbt06jI2NISEh4YadVyQSITMzE3Fxcairq2Ns5cYEtL0jTbphYWGoqamBSCTCzp07GXsEu2Iq0qVNysvKysDlcrF+/fopxROTSXk9kW56ejpWrFjhRoT0OKfTCT6fD51Oh6NHjxJXq+XLlwMAfvzxR2g0GjLW6XRi0aJFAK7l0qKiorBkyRLo9XryRQoLCyOEzOFwkJKSghMnTiA9PR1RUVGwWq1wOBwYGxvDunXrSAWE633q7u6GUqnEzp07UVZWBj6fDx6Ph6VLl6KkpAR//etf/Ua6/jiOP1r1jI2NYXBwEDqdDseOHSPbXbt6pKWlISwsDMA1Sa+r2Y1r9YW/Il1fbB1FIpFfzW5++ctfYvHixbDZbOjv78eqVasAAAMDA/jd736H+vp6AMBvf/tbn8U1dyTparVaPP/88zhz5swEL1uaaPyp8lEqlSSN0NfXx2hq7yvoUrDQ0FBUV1dDKpVi586dHtv9uOZfJ8NkJuapqamorKxES0sLPvroI9x3332MvrhMc7pisRirVq1CfHy8G8m6QqfTQa1WIyMjA2lpabDb7UhISCAEW1JSAqlUSvanuyEAIP65oaGhOHv2LPLz8xEbG0tKxj755BO8+OKLoCgKQUFBuHTpEtLS0shnIzAwELm5uQgMDASHw8G2bdsQGxuL5ORkhIWFwW63o7KyckL/t7CwMLzyyis4fvz4bd/yx1cIBIIJeVFPnSrGm6MXFhZCLpeTNvNSqRSdnZ0Qi8VTqsgmgy8G5gEBAT6R31RmN6+++ipeffVVj/uuW7cO69atY3yu8bgjSffMmTNevWzpxTSmK5mT5VJVKhWqq6shEAhQV1eHsbExVFdXM75OXx4AFEVh4cKFEAqF2LVr16RRNE3QU0UTnkQXSUlJqK6uhk6nc/PNZZpqYZLTLSwsxH333Qcul0uiTvpv9P+XLl2CTCbDlStXcOnSJcyfP9/tuHT9Kf1gMRqN4PP5CAgIwNjYGJxOJxE5pKSkID09newrlUqxevVqQt6RkZEICAhwK00DgJqaGly+fBmJiYngcDjo7u4maQ4aTU1NCAwMhEwmw+joKBQKBSiKInWacrkc58+fR2dnp9ui1M2EP+t0meRQvZmj0yqy2bNnIzIyEo8//jjEYjFGRkYmWGYyuV5fIl1fvHRvNe5I0u3o6PD64aDtHZl++D11j1Cr1aiurgaPx0NdXR2Z2gcFBfnchl0gEEz6AaMrH6KiorBr1y5GHSFoMp+KdF3TC/Hx8aipqUF/f79HdzGmqjhvOV2JRILi4mLMmjXLbbHRtQ7XVVF29OhRLF++HEFBQUhMTAQAEmnT03n6wdLQ0IDh4WFUVVXBbrfj+PHjOH/+PFavXk2kwfS9tlqtMBqNCAoKItUmrmWBtNcufS3x8fEwm82oqakBh8PB2NgYrFYrNmzYgCeffBLx8fHo7u4m+9BG+a4LdeHh4Th//jxZlBodHSUk09nZyZhkpgt/dQK+XhkwrSLr7e1FY2MjWetw7WxcUlICpVIJHo+Hvr6+CV2gXYMfXyPdG9Gq50bgjiTdqUxvfK1IoLtHREREoLq6GhwOB3V1dRMEAL4o0oB/kq6nKZZrTW9dXR1MJhPjhQCmnro2mw0SiQRPPvkkxsbG8PXXX3u1vmMa6Y7P6QoEAjz00ENISUmZEAG7foHGiyAeeeQRANdSDEajERqNBhRF4ejRoygoKHDreNzY2IiKigo4nU7yxayqqsLQ0BBkMhkGBgZI6mF0dBRBQUG4ePEi1q9fj9/+9rfkvHS6hU4Z0DMc+j0dGBiAwWBAdHQ0Vq5cSe5HeHg4gGvvmU6ng1KpdPOBCAoKQn5+Pi5evIj33nsPwLUHt1qtJu3TaZKhRQ/TtYL0BF+6RkwGf8qAXcnSW2fj4OBgcp+0Wi1CQkKIBFqn0yEoKIhx+y2WdG8w/GnvSJfIaLVaAJi09tUXwxtv4+VyOSorK6FUKlFXV4eLFy8CuBaJ+sOcnIZarcacOXMgl8vxxRdfoLu7e9LxvqYXMjIycM8990Aul7tNx202G3mQuUaVwD8J23V8e3s78vLywOPx8MMPPyAvL89ttiKRSPDQQw8RYhSJRJBKpUhISMA333yDwsJChIeHw+FwoL6+Hnl5eeBwOAgNDcWTTz5JznXhwgUSUZ86dQoZGRkT7qFCoSD1u3w+HwaDgXQWEQgEkEqlUCgUOHPmDLRaLbk+GsnJyXjttddw9uxZfPrpp25VLRRFudXN0taGoaGheOCBB9zI2NeGjrdLpEuDSZ0ubQHZ19eHhoYGst3VdSwlJQUSiQRZWVleJdCu57wTbB2Bu5B0fVGZRUVFIT4+HgqFAps3b57gdDQeTAQArnAlXZlMhsrKSqjVamIS4wpfOkJMNjY8PBw1NTXg8/nYuXMnli5dOiXhAsxIV6lUknYtdJTnGs2Ojo6SDhiu6Qq6AwT9O93Zwel0Emnv4OAgOjs7yep4X18fgoODceLECbd+aUFBQYiPj8fY2BgOHz6MiooKUBSFbdu2YXBw0E1ZNGPGDPKzq8MY/YClr214eBgCgQAcDodIzCmKIlLzkJAQMl4kEpH9x0vR6XuRkZGB3/3udzh58iQ+//xz2O12EqXr9XqcOXOG7PPSSy+hvr4earUaM2fOxPz58wnR0yTs2q3CE252TncqXE/1gqvrWEhICDo6OtDY2AiRSERSFDk5OUQCbTAYEBAQAIVCgbCwMEa1vVOZ3bz00ktYvXo1bDYbent78bOf/YykGG02G3n/WltbsWTJEp9f40+SdKOjo1FdXQ2bzYbLly+joaFhSsKdDiwWC+RyObKzs0kRtTcfhvF90iaDp0iXVqlJpVLU1tb6XGLmrdIhISEBNTU1iIyMdJPKjl94bG5uRn19PR544AG0tra6FZ8DICQ9NjaGffv2YeHChfjHP/6BFStWgKIomM1m3HfffUSBRls5RkZGknPRbmQymQwnT55EUlIS6c7R1dWFhx56CE1NTYiKiiJ1lMPDwwgKCiJRNm0y09HRAavVitDQUPz+979HWVkZlixZgjfeeAMymQzPP/88MShauHAhdDodrFYraQrq6eHr6sfA4XCQk5OD7OxsdHR0oK6uDmfPnp1Ajk6n06MVZFBQECIiIqBWq0m3CtoxTqfTobOzkxh+83i8aXftdYW/Il1/9kejydtoNKKpqYn4JdAICQlBdnY2ysvLsXr1avzhD3/Ajz/+iF/96lcej8nE7ObEiRPIzc2F0WjEc889hz/+8Y8kHWY0GpGdnX1dr+uOJF2z2ew16jSZTF7b5MTGxqKqqgoWiwXbtm1DV1cXysvLffJfYAqpVIq4uDikpqZi27ZtE+wcx2O6ka5MJkN1dTXCwsKwc+fOaQs1XCPdtLQ0FBcXIzo6mlgqAtcIgs6j0p60dJPK3t5eLFiwAD09PW6+CPT7RJPu4OAgMjIy0N7ejuDgYJJXVSqVhLDWrl2Lhx56CA6HA0qlEhaLBXa7HVeuXEF6ejq4XC60Wi2JgB0OBxYtWgQ+n48ff/wRK1euBIfDgc1mI6blAHD+/HlQFIWIiAicP38eZrMZixcvRlpaGkkpFRcX4+jRo8TlbNOmTbh69SoiIiKwdu1alJSUQKvVoq6uDunp6VCr1di/fz8iIiIQHx+Pjo4OhISEkBQXRVGIiorCypUr4XA4YDAY0N7ejkuXLk3qyzE8PIzh4WG3MXSpllqtRmJiIsrKyoitYXd3N6l5ZtKt1xNuh0jXFUKhcMqHSV9fH2pra5GdnY2VK1dOWcbHxOzGVWF26NAhPPbYY9N/ER5wR5IuMLHVDg2j0UgsA2nExcWhqqoKRqMRW7ZscZtu+7o4BkzeS4puwRMXF4fe3l5cuHABZ8+enfKYVquVcS7aZrNBKpVi0aJFiIyMRF1dnVufKl9B17IuWrQICoViQhRNP9xGRkbIA+3YsWNITU0ltot5eXlwOBxoamoi9981ugT+WSGhUqlw6NAhzJs3D8A1b9zk5GQyNi8vD+Hh4STa5fF42L17N86fP4/MzExQFOW2YEr7DADXfFBpcLlcmM1mEoFGR0cTK0j63ACI4g0AysvLUV5eDuDaA+3ll18mf/vlL39Jfp49ezb5uaSkhPw8PsJ3BYfDIf7AaWlpWLJkCRwOB1588UXSTVev16O/vx8jIyOkNI4GXarV3d2NCxcuQCqVQiqVoqKiAlwuF7m5uZDL5ZBIJMR6ko7sR0ZGYDAYoNPpcPnyZVy5cmUCofkr0vW115o3uEa6k4EuTWRyTqZmNzSeeuopt3peoVCI+vp62Gw2vP7669NyELxjSddbGsF1+4wZM1BVVQWDwYDNmzd7rA7wZhPpDXQaYHxEIJFIUFZWhhkzZpD+agUFBT5Fr65RmTeIxWLEx8dj5syZ2Lp165QRtDfw+Xzk5uaisLAQISEhEyoPHA4HLBYLyZvx+XxSCma1WonQoKGhAQqFAsA/Hbro63ElXLpaICwsDBRFIS0tjZTrbdq0Cf/+7/8OiqJw7NgxFBQUkM7BNOEfOnQIhYWF5PqEQiGsViveeecdvPjii24tfFy7Q9CLOnw+HydOnIDT6URxcTHa2tpw6NAh1NTUwGazYfv27UhLS0NOTg42bNgAHo+H++67D4cPH0ZjYyMeeOABGAwGbN26FUVFRdBoNGhsbERvby+qq6uxd+9e6HQ6LF26FH19fdixYwfmzp2LsLAw1NbWIjw8HFlZWcTMPCIigriB0ebu4z8rdrudRPn0feTz+ST/PB6jo6MYGRlBUFAQRkZG0NbWBoFAQKwuw8PDER8fj9LSUjidTrS3t2Pnzp1kIctfKjt/gUmkC/gvpz0ejz76KHJzc1FRUUG2xcbGorOzE/Hx8di1axfOnDnjszL1jiZdb9tDQ0NJX7Bvv/120lVNejxTjO+TJhaLUVZWhsTEROzbtw/btm0jXxBfDHWmyukKhUKUlpYiOTkZvb29OHLkCKMImgZFUdBoNCgqKkJkZKSb+fd40KQVEBAAm81Gxo6OjhJRAr1inp2dTa7bNSdMRx4UReHixYvQaDRuDwe61Kujo4NUHADXIui0tDRyTrpVz9jYGIqKitDa2kqUZ1evXsWzzz47ITKnF+pMJhPOnTuHiIgIQmzNzc0kPXPs2DEEBwejsrIS586dg06nQ05ODiiKwv79+5Gfn4/w8HBs2LABSqUS9957L7q7u/HNN9/g3//93yESifDDDz8gISEBmZmZ+OGHHwAADz30EIKCgvD222/jhRdeQEVFBdasWYP9+/fj0UcfRVZWFrZs2YLTp0/j6aefxtjYGGJiYgBce6C1trZiYGAAVqsVdrsdWq0WQqEQx48fh9lshsVigc1mQ01NDdrb26HX63H06FFcuXIFCxYsQEVFBTZu3EiMtZ1OJ5YtWwYul4u//OUvSEhIQFpaGhITE7Fq1SqiJJPJZMjJyYFOp0NPT88tbw3PNNKla6OZgInZDXBNOPPrX/8aFRUVbgEWvfbT1NSE3bt3Izs7+6dDup7ejMTERMyePRsymQwffPABo3bM0629FYlEKCsrQ1JSEg4cOOCxbbrFYmHcs81bTlcgEKC4uBgZGRk4ePAg1qxZQ0qspgId5Tz//POIiIiYsFBms9lgs9nIzMBsNuOrr77C6dOnERsbi4cffpi0M//8889x9uxZJCUlITk5GQqFAqmpqdi7dy9qa2vxxBNPYMaMGYRoaUKnfTJ0Oh2++OILMkWn6zQbGhqIBabRaMS9994LsViMwcFBNDY2ori4GHw+H//v//0/0v4HuEYkycnJ5Ge6FXtvby8iIiIwMjKCjo4OfP755wgODsarr76KEydOoL29HRkZGQgNDSW+C1wuF/fffz9OnjyJgYEBpKWl4dChQzh16hTuvfdeyGQyHD16FPPnz0deXh62bt2KtrY2xMTEgM/nY/PmzXjhhRdQWlqKuro6ZGZmYsGCBbhw4QLef/99/PznP8fTTz+Nt956C2+88QYefPBBLFy4EGlpaeByuYiMjMTY2BhOnz4NsViMpKQk4iFC583b2trIfQ0ICMDMmTPB5XJhNBqRlJSE2NhYCIVCIptevXr1hM+Dw+HA6tWr0dXVhbNnz2Ljxo1YsmQJMjMzER0dDaPRCJlMRjx5KYoiC3f0P6ZOXv4AUzMgsVjMWAzFxOxGq9Xivffew/z5890CNrlcjrGxMVgsFoSEhKCkpIS4j/mCO5Z0XacdSUlJqKysRH9/PzZt2oSlS5cyIlzAe27YG2w2G2nTfuDAAdTW1nqdkvlS10sb3tDg8XgoLCxEdnY26uvrsWbNGvIBHD/WFTweDzNnzkRBQQHppjA+beFwOHD16lUcPHgQcXFx5AuuUqmwYMECIqu12+3YvXs3tFotli1bRozGbTYbPvnkEyxcuBBlZWWIjY0l0QN9L4aHh6FQKDA8PIy4uDjU1tZixowZJHqlBQ3FxcUk97hv3z7MmTMHTqcTn3zyCWpqajA0NEQia6fTOSHvTROu0WgEl8uFUqnEJ598gsTERGRlZRGv3uHhYURERODHH39EU1MTcnJy8Mknn2BkZAS/+93vIJFIEBsbC4fDgdTUVNJeHQAqKiqwZcsWXLhwAXl5edi2bRvOnTuHmJgY5Obm4uDBg2hsbER1dTUOHz6MDRs24F//9V/x8MMP4+2338b777+PF198kRDv+vXrodPpMHfuXHA4HLS2tuLDDz8kxMHhcKBUKlFWVob8/HzyxU9OTgafzweXyyUChNDQUCK8oPO4u3btwsDAAEm1LVmyBENDQzh16hRCQ0MRExNDHNU4HA4uXrwIvV6P4uJiaLVarF+/Hnq9nrRNV6vViI+PR3FxMWQyGamZpaXPrjaQ/qoZ9gWBgYGMvXSZmN386U9/QmBgIDZs2ADgn6VhqampeO+998h9e/311xl1mxiPO5Z0TSYTkpOTUVFRAb1e72ZW7kuLGqYKNqFQiJKSEmg0Ghw/fhzvvPPOlPkvX0mX/kLl5uYiPz8fJ06c8OhpSyvNXBEZGYlFixYhW3+KoAAAIABJREFUKipqQoNHiqIwMjKCPXv24OrVq8jJyUFeXh4SExNx7tw5rFmzBlqtFgkJCUhPT4dWq4VOp8PHH3+M4eFhHDhwAI8++ihWrFiBffv2EeL87rvvIBQKSQkNHZXV1taiuroaFouF5HCvXr2KVatWwel0Ys+ePaisrMTY2BjEYjGcTif6+/vJdNhoNGJoaAjJycno6OiAVColr8lms5GHDp3zPXbsGOLj4xEcHIzPPvsMJ0+eBJ/PJ8KJ7u5utLS0IO7/b/9Dk1hCQgKZlisUCqxduxZXrlzBs88+iwMHDmB4eBhJSUnIzs5GTEwM8WB4+OGHYTAYMDQ0hPLychw6dAg//PADXn75ZdTU1OC7777DV199hUcffRQVFRXYvXs3PvjgAzz33HNYvXo1GhsbUVVVBZPJBA6Hg5iYGKxYsQIbN24k3YB5PB5ycnJw/vx5fPDBByQ1w+Vy8fLLL4PL5eLPf/4zbDYbHnvsMZw5cwYrV67Etm3bsGPHDvL+P/roo+ByuVi3bp1b1Jafn48HH3wQdrsdGo0GBoMB/f39kMvleOGFF/D++++TSoju7m6cPHmS7Eu3DYqIiEBubi7UajWxgdTr9RAIBAgLC5sg671R8MVLF5ja7GbOnDke9zt48CBmzpw5vYt0ARfAf133UW4B/uM//gPp6en44YcfcOLECbfINz8/n1ivTQWKopCVleX2oXJFQEAAysvLcc899+DKlSvo7+9HS0sLo0haLBYjNjaWUcuegIAAFBQUID8/H4ODg/jqq6/Q1NTkkdiDg4Mhk8nQ2tqK0tJSPPzwwygvL4dUKoXFYoFerwdFURAIBLDb7TCbzZBIJJBIJBCJREhISMDevXsxPDyMrKwsYvyt0WhIUX5MTAxMJhOamppgsVhw8uRJ0oHVbDbj5MmT0Gq1qKmpcTOzcTgcZFV9165dZMqbnp5O/FE3bNiAsrIy8Hg84kolFouRmppKysuysrIgEokgkUiI38PIyAhEIpFbrnzHjh1ESkrLiHt6emC1WlFaWoqOjg50dHSQeumDBw9CKpUiMTERFosFZ8+ehVQqRU5ODg4fPozu7m6UlZXBYrFg//794HK5yMjIwNtvv43du3ejqKgIFEWRhcWQkBBkZmaSh0dGRgZOnjyJq1evQqVSoaioCGfOnEFnZycMBgMKCwuRkJCAhoYGfPnll5BKpdi/fz/y8vJQXl4OmUyGwcFBrFq1CmazGe+//77bQ7eiogI5OTn49NNPycJwTk4OmZn8/e9/J5+ZtLQ03Hvvvdi+fbub6kupVOKxxx7DwMAA/vd//xdWqxV5eXkQi8XYunUrcQ67cuWKRzKz2WwYHBxEW1sbzp07h/r6ehw6dAgtLS0QiUSIi4sjZlF5eXmIi4tDcHAw8ThhEglTFIWCggIcPnx4yrGJiYkYGBjway/CG4k7lnT1ej1MJpPHBTVfSNfpdKKgoABHjx512y4QCFBaWop7770Xzc3N+Oabb0g/JLrlyVQICAhAUlLSpAteNOkvXrwYAoEA7733Hi5fvjxpLis0NBTp6emYP38+0tPTIRKJSI8wPp9PqjH27NkDi8WCv//97xAKhUhISEB0dDS2bduG+vp6XLp0CaGhodBoNJBKpWhqasK7776LY8eOQS6Xo7S0FBwOB1evXoXT6URjYyMSExMRFxcHmUyGuXPnur0O+p9EIiFpjbCwMKIuoiNuo9GIlJQUAP+cabS2thJJMYfDQUBAAPr7+7F3716iJuPz+bDb7URiTI+Nj4/HF198geTkZBgMBtIKvrS0FGazGY2NjQCAgoICNDc3QyAQIDQ0lPSys1gsKC4uRldXF3mPk5KSsHfvXgwNDaGsrAxDQ0NoamqCVCol+fWmpiYolUqMjo5i//79cDgcSExMhFarRXZ2NiwWC4KDg5GWlgaFQoF58+bBYrEQY50LFy4gOjoaW7ZsQX19PQQCAfLz81FcXAyhUIjNmzejpaWF3GOZTIbHH38cFy5ccItmq6urERERgY0bN5JFoaCgIDz11FMwGAw4deoUIiIiEBwcDJVKhcceewx2ux3vvvsuBgcHiUBo1qxZyMjIwOnTpxEaGoqCggJcunSJcRRpMplgt9uhUCjw6aef4tChQzh+/Dj6+/shFApJiqK8vByZmZmIiIggqS+j0egWYAiFQmRkZLh5+3pDSkoKmpubsX37dkbXeatxR6cXvIGp3ywwUf4qEAhQWFiIrKwskkt1LUfxJWUw1dj09HRUVFSgqakJ69evxwMPPDDp6+JwOJg3bx4KCgqI6kev12NkZAShoaGQSqXo6OjApUuXkJ6ejurqapjNZjzxxBNoaGjAm2++iQcffBDLli2DRqNBVFQUQkJCcPXqVURHRyMsLIxYUW7atAl2ux1VVVUYHh7G4cOHYbPZ8P333+Opp55CXl6e2yIk7XlBpx5GR0cRHBxMFopocpXJZCgtLQVwbQU4Pj4eBoOBTP3HxsbA5/PB5/MREhKCe+65B8A/SZ1+X9966y384he/QHx8PL788kscPXoUeXl5RPrrdDrR0tJCFGTt7e2w2WyIi4uDXq9HT08PtFotZDIZdDodSSXU19ejsbERWVlZiIiIQEdHB9ra2qDVarFnzx4cOXIEFRUViIuLw+XLl7Fv3z4sXrwYZrMZtbW1ZIH13XffhcPhQE1NDSk7MhqN6OrqgtlsRnJyMpYvX05Ww0dGRvDVV1+Bw+GgqKgIVqsVy5Ytw+zZs3H58mV0dHQgIyMDHA4Hu3fvRlBQEEQiEWQyGZRKJQYHB0l1SmhoqFsef+XKlRM+SwaDAQsXLkRjYyNOnjyJsbExNDU1wW63Iz8/H8C179jPfvYz/N///R9j28Txvgs2m43MNlwRGBgItVoNlUqFsrIyKJVKcDgcsnBnMBgYV0/QqY07BXcl6dJfcF+kkXw+HwUFBcjOzsaxY8cmkC0NeqrOBN5IV6PRoLq6Gh0dHVi/fj1GRkZIlOoNKf8fee8dHeV5pv9/NKNeRmXUJdQ1aqg3VAGDG5gANsYY2xAnrtgJduy0k92T7DqJN5tz1rvgRi8OxaaZbtMEyBISqKCOeu9do5E0I83M7w/O+0Si2HKS756wv/scDjAavfPOzPvez/1c93VfV2gojz/+uHBGGB8fp7e3Fw8PD0F56+3t5auvvqK+vp7m5maeeOIJHB0dsbS0pKSkhMHBQc6cOcMLL7xAdHQ0Go2GnTt3UldXx4IFC1i8eDHr169n586dTE5Ocvz4cRQKBU888QR9fX00NjaSkZEh5CqlhCsppDk5OWFjY4NMJqOurg5LS0uhHmZqasrg4CAODg44OTmh1+sFLUyCRczNzdm0aROvvvoqjo6OImlKU3Dw19n3xMRETExMGBwcJC8vD4CGhgZhQKnVamlubiYsLEzAGq2trfj5+dHf3y/wzYCAAIqLi6mtrSUkJAQTExOqqqowGAxERETQ3t5OSUmJ+Cy7u7tpaWnB39+fmpoarl+/ziOPPEJmZiYHDhzg4sWLJCUl8fjjj9PW1kZMTIzYhWzfvp2enh48PDxQq9UkJCSIRpWkrSBdf0eOHCEiIoLo6GhCQkJITEwU18K97JocHBxQqVT09/fT1tZGeHg4VVVVXLlyBY1GI5TdPD09ycnJwcbGhoCAAKKjo1myZAmVlZV4e3sLjq+NjY2YLnzppZfYvHnzrO6n2U6jjY6OUltbO0N5bLqZZnBwMG5ubrz99ttotVohdHM/sZsHRUsXHmB4QaFQzBCunh5hYWE0NTXNSq3J1NSU+fPni+bR8ePHaW5uvm+V7OjoiIODw10z4PcKg8EwA7oICAhg1apV2NracurUKUpLS0VVIMEcd8Iinp6evPjii6SlpWFhYcHQ0BADAwPY2tqiVCoZHh7m5MmT3Lp1i8DAQFJTU0lKSsLU1JQjR44I5azExET8/f159NFHMRgMQlymoaGBzs5OTE1NsbCwIDAwEFdXVyHqcevWLcLCwkhMTCQkJASVSiX83CQsNzs7m6ioKMbGxgS318vLS0j1NTQ04OzsTGFhIW5ubpiZmSGTyWYsXtKUmaOjI/7+/mJrPjk5iaWlpRi0KCsrw83NjfDwcLG9z87OZmpqCplMRmJiovDKk5qSdXV19Pf34+rqSmRkJLW1tYyNjREQEIBOp6OyshILCwvi4+MpLy9nYGAAlUqFm5sb+fn5jIyMCIihubkZmUxGbGwsbW1t1NTUYGtrS1JSEtevX2d0dBR7e3sSEhIICgqipKSE3bt3M3fuXKKiorh27Rq9vb1UVFSg1+sJCgpiamqKoqIiMjIyUKvVTExMkJGRgbu7O319fZSWluLp6YlOp+PQoUNUVlZy69Ytbt26RXBwMFqtlt/+9rdkZWVRXFzM4sWLmZiY4NNPP6W3txeNRsPKlStRqVQcOHCAK1euUF5eTnZ2Nu3t7QQHB6NSqTA3N+fGjRts2bKF3t5e0tLS6Ovrw9nZGX9//1m5ZXh4eGBpaTmr++POMBqNjI2N0d3dzfj4ODKZjN27d1NaWoparcbW1pbg4GAyMzNJT08nLCyM5ORk8T3duHHjO8/v0Ucf5fTp02zcuBFra2tycnJm/Nzc3Jx9+/bx/vvv89xzz3H+/HkBr/zqV79i165dvPHGG9TU1PzNI/cPbKX7bauuJA34bVsOU1NTkpKSiI+PB7ivE8Wd8X0GHiSYw8fHh8WLF6NWqzl69OisdD/lcjmZmZksXLgQU1NTJiYmhGutl5eXOH57ezudnZ3IZDLRQHJ1dcXOzo6xsTGxbYyIiBDMi9OnT6PT6Vi3bh0rVqxgaGgIvV7P4OAgX331FUuWLCEtLY2cnBy0Wi3Hjx/n5ZdfxtfXl7a2NqEnKzlCREdHI5PJRAVbWFhIREQECoWChoYGurq6xIIgwQ9SFSsdRy6Xc/bsWRISEoSwjdSwkihh/f39qFQqrK2tyc3N5ebNm2zYsIHAwEAqKipobm5Gr9cTEBBATU0NLS0tGAwG/Pz8qKmpoampSdgudXd309jYKOAISWJTpVLR0dFBVVUVS5Yswc7OjoGBAVpbW4mOjubKlSvcvHmTFStWCEjkm2++IT09nfT0dCYnJ0lJScFgMNDX18f+/fsxGo3s27ePN954g6eeeop9+/YB0NzcTElJCUFBQaxcuRKtVsumTZsE/cnS0hJPT0/mz5+Pg4MD3d3dLFy4kL6+Pjo6OgTWPTQ0JK5daQpu69atgh6Wnp6Ou7s7AwMDLFq0iNTUVPr6+jAzMyMoKAhbW1uxgCUlJWE0Gjlx4gT79u1j7dq19PT0EBgYyNKlS7/T9PUfqbsgFU3SrmU6vg23q/ukpCSSk5N54okneO6552hubuapp5665zFnI3bz4x//mMHBQYKDg3nmmWf405/+xJo1awgLC2PNmjVERETg6enJhQsXUKlUf9ME3wObdP9WpTG5XE5iYqKwGd+yZQsvvPDCrCUbpdHV2YSnpydKpZL09HROnTo1a5FyHx8fnnnmGRwdHRkeHqarqwtTU1OhuVtcXIxCoaC1tVUMTnR1dXH06FHa29uJi4tj5cqVvP3224LjWl5ejo+PDwEBASKJHzhwgFdeeYXnnnuOo0ePIpfL+eabb/D19eWxxx6jra0NFxcXfvCDH4gKws7ObobzQk9PD+7u7hgMBiYnJ7GwsECv16NQKNDr9YKIPl38vLCwkO7ubvz8/EQFA7epOgqFAp1ON4MRMTAwwMWLF8nMzMTa2pqpqSlB4p+cnCQyMpLKykp0Oh0dHR0ikUrbUgnXlW5aZ2dnuru7qa+vJzw8HDs7O9RqNV1dXQQHB3P58mUqKytZsmQJYWFhXL9+ndLSUpYuXYqjo6NwyPXz80MulzMwMCAgGplMRlFREU1NTTz55JPExMRQXFxMS0sLX3/9NUuWLKGxsZHc3Fzkcrkwg1SpVFhZWfHMM8+IhXliYkIkgLKyMvbs2SN0eWNiYggICKCnpwelUsmGDRsYGxsjIiKC4eFh1q1bN+MeGBkZobe3F61Wi6OjI7GxsWLARhJX7+joYGJigoULF+Lj48P27ds5dOgQa9asoauri/nz59Pc3DzD0v3OmI2W7mxiNtNoQ0NDnDt3jsDAQN5++21KS0vvayUFsxO7Wb58Ob/73e8AOHz4MB9++KF4/ODBg+h0OpqamqirqyMpKUlAW98n7n+G/+TxXe4RdyZduVxOcnIyGzZswNLSkq1bt3L16lV0Ot33GpCYzQSbm5sba9euZfHixYyMjLB///5ZJ9xFixYJTHNychKdTkdgYCCBgYGCEC9pIdja2tLV1UV7e7twa5VgAp1Oh729vaha9u/fz969e7GxsRHcTa1Wy969ezEYDCxevFjchIcPH2ZkZISXXnqJlStXolar+e///m+KioruUhiTxG0kTFpiAkiqYNJ4s16vn+HWsHjxYgwGAx999BF6vR6DwYC5ubn4e/p3+f7776PRaITWbmdnJ19++SWtra1Cteytt97ijTfeQCaT4evri5+fH2ZmZjQ3N+Pj44OJiQmjo6P09vYKlwlpfFMaDqmpqRGLkuRwK9m3S4lG4mm2tbVhYWFBZGQkjz76KIGBgchkMvLy8ti/fz/Xrl2jtbWVpUuXiveTlZVFZWUly5cvR6VSIZfL8fHxISQkhOPHj3P06FF8fX159913efbZZwkKChJ6rRIdShL/lpLroUOHGB8fx9TUlIiICExMTASbRRq26O7u5saNG/T09ODm5sacOXOYmpri2rVrHD9+HLVaTWpqKgkJCXR3d7N161YcHBz46U9/SkdHB+fPn8fd3Z3BwUFWr179rWPz/5sKY9NfU6JwflvleS+xG2nXeK/n6PV6hoeHUSqVs/rd2cb/+UpXLpcTFxdHcnIyFRUVbN269a6L4vtY/Hxb0lUqlSxatAgbGxthm36vpse9QhJh9vLyorOzk+bmZpycnAgKCmJsbIwzZ86gVquFCpbRaKS0tFR0vFesWMHChQtJS0vD3NychoYG6urqeOSRR4iIiCAvL4+Ojg4OHz7M2rVrWb58OUePHmV4eJgjR44I6UFbW1sefvhhLC0tBTd28+bNGAyGu4jh0ox+VFSU0PiVuMFyuVyQ7qc/DhAfH4+JiQlFRUVERERgampKdXW1sFsHRJPM3t6e6Oho1qxZQ0tLC9bW1jg4OAiXWmdnZ5YtW8aOHTvQarWkpqaydOlSFi5ciI2NjejyL1u2jJqaGtrb2wkLC8NoNNLe3s7ExAQBAQHcvHmT2tpaoRBXV1dHVVUV8fHxyOVy0aCKjIzkypUrDAwMMD4+zqpVq7C0tKSwsBClUkloaKgYXz1+/DhvvvkmCxYs4Ny5cwJm2LBhA+vWraOoqIjAwEAKCwv55ptvACgvL2fx4sXExsYK6EsS1dFoNFhaWjJnzhyROKXrS6LQHT9+nOzsbFJSUnjyySfR6XS4ubnNGJ82Go1YWlqSkpKCXq+noaGBmpoavLy8WLt2LUNDQ7S3t+Pr68tbb72FWq1mampKCButX7+e//mf/7lno/lOv8G/NSwtLcWwzHeFmZnZA8VeeGArXb1ef1+S9fj4ONbW1sTHx/P666+jUCjYvn07WVlZ97wgvo/+wr2e6+DgwJNPPsmTTz5JQUEBu3btEqLUs3GbSE5O5mc/+5lgL3h4eDBv3jyRhCRakZ+fHzY2Nly4cAG9Xs+jjz5KTEyMUL2C2xf9zZs32b59O5cvX6a2tpbAwEBB0yovLycrK4uEhATmzp0LQFVVFWVlZbi7u7NhwwbCwsIwNzenvLwcOzs7YmNjeemll0TFJk1M5ebmioGGqqoqUcVKTa+srCwhVjM5OYlcLhe0LxMTEy5fvkxaWhqNjY2Ym5vP+Jyqq6v55JNPkMlkrFmzht7eXnbs2EF9fT22trZiHFjqfksNJYlM39zczIcffsj27dvF5+Lv74+bmxsWFhYsWrSIJUuWMDAwIGQlGxoaBCQCiAabVAmXlpYKor9KpcLS0hILCwsOHjzIgQMHuHDhAg4ODsTFxQG3hd2Li4tZsGCBSFharVawQ1JSUhgdHeXw4cPifY+MjHD06FH+8Ic/iKba+Pg40dHRPPzwwyQkJIjBlW+++YY9e/bQ09ODra0tRUVFtLa28uabbwpcc3x8fAb1avpuQ4J8pEaa1Ni0t7cnICBAYMW2trZUV1czPDyMXq/Hw8ODZcuW3fNa/kfCC9/Htmg2iX42YjfTnyOXy7G3t6e/v3/WQjmziQc26cK9q11JKi8jIwNHR0d27NjBxYsX/2EWP9N1D+zs7PjBD37AM888Q3l5Odu2bbtLcejbxMnlcjlLly5l+fLlGI1GRkdHxe/39fVx+PBhcnJymDNnDqtXryY8PJzdu3dz6dIl+vr60Gg0rF69mqVLl9Lb28u2bdvIz88nJiZG3Pg1NTW0trby2GOPCY+wixcv0trayooVK3BwcBDmiXq9Hnt7eyYnJ9m6dSv79+8XDSVvb2+MRiM6nQ6dTofRaCQ9PR1zc3M6OjpE9SiFBDM4ODhga2tLXV3dDCt2gOeff14Imfv7+4vHi4uL2bZt2wzBk23btjE+Pk5DQwMmJiZC7EbidEqJcmxsjK6uLoHr9vT0MDo6Khp1e/fuBW7P01dXVzM0NIRSqWTjxo28+uqrjI2NERcXR2BgoHCdliCGkpISAN58800CAwNpbGzEaDTi5OQE3GZ6tLe3s3DhQvE+T58+jcFgYPXq1eKx8fFxcT1KI7N3hjRhuHv3bjZt2sRvf/tbfv7zn5OXl4dMJmPLli2cOnWKiooKHBwcmJycRKlU8uabb+Lr6ysKEnt7+3s6gkjqbXB7EVWr1SJx9fb2otPpcHZ2ZmxsTPCKs7Oz0Wg0jI+Pk5aWdk/20D+y0p1N0pUW+Nk0tKaL3ZiZmbFmzRpOnDgx4zknTpwQmsyrVq3i0qVL4vE1a9Zgbm6On58fwcHBs3Luvuc5/02/9U8S079cmUxGTEyMUI6qrKzkwoULs8KFvg+mK3XaH3/8cV544QXq6urYsmWL6H7f69j3arxJ6l9paWmMj49jNBqxs7PD39+fwcFBKisrsbe3JygoiMuXL3P27FlcXFz4yU9+wtq1a3F1dRWCMnD7gmpsbOTkyZPU1tayYsUK/P39BR2pr6+Pp556CisrKwwGA4cOHcLc3JyNGzfi7OyMTCYTYtCdnZ0CvyosLBQXtomJCfn5+VhaWlJRUYGbmxtGoxGlUins0i9dujTDKUI6nrOzM1NTUyKJ6nQ6YUHj6+s7Q3c3Ly8Pe3t7XnnlFUFPk3YXXV1dTE5OikRoNBqpq6sTSRdu83X9/PzEOTQ1Nc3QXdDpdDg6OlJbW8uFCxeA2wvRxx9/TFlZGQ4ODsTExPD8888L2t/jjz/OsmXLMBqNWFtbU1xczMWLF6muriY5OVm81qVLl3B1dRUJaWhoiJMnTxIcHCz0gJ9++mmUSiUFBQXo9Xo2bNgw4/ydnZ1ZuHAhRUVF1NXVicednJzIyMjgxo0b4vtZtWqVUL2TONzADEqfJGQuffaSqLn0eUsTY6amptTX1+Pk5MTY2Bg1NTU4OTnR2trK+Pg4jz/+uNBY1uv1PPfccyQmJopFB/7fsBe+LabDVt8V08Vuqqqq+OKLL4TYjVS579ixA6VSSW1tLT/72c/41a9+Bdze9UjP/+qrr3jjjTf+Zu3hB5anC7cnuiTM76mnnkKn03HixAnRWZ6tApBktPhdPmmWlpYsXLiQkJAQrl+/zunTp7/TgTQ8PJympqYZyd/Ly4uf/OQnQjZxYmICa2trdDodVVVV2NjYEBoair+/P2VlZVy9epXJyUkcHR3x8PDA1dUVnU7HRx99xMWLF/Hz8yMlJYXm5mYGBga4desWERERxMfHi459bm4uaWlpKJVKJicneeKJJxgYGMDFxQVvb28mJyfp6+vj2rVrpKSk0NfXx9jYGK+99pqAA6amphgcHMTd3V3Y1ZiYmAjY4NixYwQEBAjbeUnWUqvVCuEbyY7+xo0b+Pr6MjExIWhh+fn5ODo6olAoyMzMxMbGhs8++4z4+HjUajWNjY3Y2toSFhaGh4cHV65cAW6bRcbFxXHz5k00Gg0WFhbExcVRXl6OWq0Wugu5ubnodDpiY2NxcHDgypUrAiefmJigsrKSsbExkpOTycrK4vTp04yNjREZGYmLi4uQP7SwsMDGxkZoAgcHBwtHh56eHiGQI0EdEj6alJSEhYUFqampnDlzhr6+PlpaWnB0dBS0sNbWVp5++mns7OzYtWvXjK36s88+i729PXv37iU8PJznn39e0MYAAdFMl9aUFjpTU1OxMMhkMoHZA0LeUqL9Sc1MZ2dn2tvbCQgIoKGhAZlMhrW1NZcvXxaLhLe3N56enixcuFAYRmq1WgwGw13QxveJhIQEysvLvzPxKhQKVCoVmzdvntVx6+rq+PDDD9m0aRPZ2dnAbXseqWjS6/UcOnSIzZs3s3379hm4cnZ2Nps2beLDDz+csRh+33igk+7zzz/Piy++KJoWVVVVAjsMDw+f4br6beHs7Iy1tfWM7uT0MDc3JzMzk8cee4za2lqcnJw4derUrI4dEhIixE7gtlPsunXrhLyhlZUVlpaWNDc3C8Hw2tpajh49irm5OcnJyaSnp5OcnIyNjQ3Xr19HLpfj6OhITU0NPT09VFZWEh4eTlJSErdu3WJ4eJiGhgZSUlIEv7OyshI7Ozvi4+Oxt7cXdClTU1MMBgN79uzB19eX48ePExwcLJTILCwsZugcSMIyc+fOnWHLIk3VRUREcPPmTZqbmwkKCsLExARra2vgdhUYEhJCYWEhPj4+2NnZCeilsrKSAwcOYGdnR0JCApaWluzYsUNUsZ6enuTl5WFjY0NgYCBubm7U1NQwNDTE+Pg4GRkZ9PT0iKps/vz59PT00NLSIgZPmpqa6OnpITQuPP5XAAAgAElEQVQ0FG9vb3Jzc9FqtQQGBuLu7s61a9dQq9Wkp6cL09KkpCS8vb3R6/Xs3LmTCxcukJGRITRpNRoNAQEBhIaGEh0dTVBQEBqNRogHSbhfQ0MD6enpBAUFUVZWxvHjx8Wic+rUKSHlmZGRgaurKwUFBVRXVwvDUElcqLOzk4ULF5KQkCA0LqYn2TtjampKOCvU19czMTGBQqGgr6+P1tZWnJyc0Gg0AjaTGp9SpSxNAkpVtEwmw9vbm/Lycry8vLCysqKsrIzPPvtMWNN3dHQQHBzM/PnzSU9PF/q8VlZW6PX6We0+582bR0FBwXc6Qjg7O+Ph4cGWLVtmcTf+c8QDy16A2/Yke/fuvUvAWBqOmG1otdp70mCmjwZfv35daNpOt435rpg+Cvzoo48yf/58kcRcXFyYnJwUzgEymUzwAOPj4wUGC7dX4FOnTlFUVISFhQW//vWvWbt2LZ999hm1tbXs2rWLDRs28Oyzz/Lxxx/T09PD6dOnWbFiBWFhYWK7PTg4iJ+fnxhjvXz5Mi+88AKPP/646GwfOnSIt99+W1RGUnKVBkOk85eeL5PJsLOzQ6FQCA1WyXKnp6cHV1dXADHT7+7uLjBiuA1hHDx4UNzQJiYmlJSUCHy7tLSU5cuXi+9oZGQEvV4vJg8HBgbo7+8nODiYnJwchoeH6evrIyAggOzsbNra2picnMTf35/y8nLR6fbz86O8vJz6+nohnj42NkZ9fT1hYWEEBwejVCpRq9UMDAyIpl1jYyMeHh50dnbS0NCAjY0NixcvZu/evcjlcry9vfH392f58uWkpqai0WgYGBgQyVFKOqampgIzPXXqFIWFhfz0pz/FaDSSkpJCSkrKXaPknp6eM76Xe13LfX19ODk5YWVlRUVFBTdu3GDRokWoVCqampo4dOgQjzzyCIGBgVy5coWIiAhcXFyora3Fx8cHnU7H8PAwHh4edHd34+bmJmQ4pdeMjo5GrVZjbW3NokWLaGxs5NatWxgMBrKzs2fARU5OTsK9IzExEUdHR7RarRjrlZyNp1f1s4UpbGxsBFTyoMQDXelaWFjcM1kaDAbmzZs3a6UxSXxDuqkkTu/y5ctncEKlCyk2NpbS0tJZYTr+/v6o1WqWLVtGfHw8BoNBjKy2t7ej0Wjo7u5m//79uLi4YGVlhb+/P76+vgwODnL06FFOnTqFn58faWlpQm5x7ty5Qirw1q1b9Pf309HRQVpaGvb29lRWVqJWq4mJicHV1ZXOzk68vb1xdHQUdKlt27YxNDQkeJpGo5Hc3FySk5NFwpcS7I0bN/Dw8JjhRdbT04PRaBTbWgcHB/r7+wXftbm5GQ8PDyFSY2FhMaN6kkZ/dTodhYWFPPvss4SHh9PT04ODg4MY0RweHmb+/PmMjIzQ09ODn58fExMTeHh4cO3aNeB2Ig8LC+PKlSsYjUa8vLxQqVRcuXIFg8FASEgITk5OXL9+HS8vL/G91NTUYDQaSUpKorm5mZGREZKTk3F3d2diYoKdO3cKnYS8vDy0Wq2oPOvr6+no6KCvr4/MzEwmJycpKSmhq6uLrq4ukpKSuHTpEpcvX+aRRx7BwsKC/v5+QkJCSEpKwsnJSXCvpdFfPz8/PvnkEwoLC+nr66O7u5upqSnBLZagnulNS8k1Q/q+ioqK2L9/v5BsDA8P5+jRo9TU1JCcnIyvry8HDx5EoVCQmJhIeXm5oKLV1tYil8txdXWlvr4eHx8furu7USgUDA0NicEaiQYo9QGioqIoLCwkNjb2roGB8fFxenp6qK+v5+bNm+Tl5VFWVsbo6CgKhYKQkBAWLFgg9KpdXV3x8fGhsrLyO+EFHx8fjEYjBw4c+M578Z8lHuik6+npKbyl7ozvI+8oJbrq6mri4+NZuXIl/f39fPnllzQ1Nd2VXOfOnUtNTc2sqDF+fn7MmzcPf39/wV+VMFCFQoFCocDZ2ZnExESxhSsuLsZgMODl5YVer+fWrVsUFxfj4uIi5AqVSiUHDhwgJiaGuXPnUlxcLPDltLQ0vL29SUlJYWJiAjs7O9zd3eno6BALSFJSEsPDw6LK8PLywsvLi66uLlasWDHjxtbr9Xh6emJmZibgG6PRyOnTpwkODhY8Tx8fH6GnKsER5ubmtLe3c+vWLUG5kSq+vr4+dDod3t7eJCcn4+fnx40bN6iuriY2NlbQlLRaLSqVCg8PD8rKygRzID4+nvz8fDE2HB8fT1VVFcPDwwLnLSkpEYMVkZGRXL58GV9fX8GquH79Omq1mvnz52NlZcVjjz0mrGrOnTtHSUkJY2NjpKWl0d/fT2trKwMDAyxYsIDJyUnKysrQarV4enoSFRVFTk4Oer2e/v5+/Pz8iImJwcXFBV9fX3bv3s2JEyeElkFPTw9DQ0O4uLiwePFiIiMjBU1rYmKC5uZmseO5s6q90xLpvffe48aNGygUCpG8zpw5Q35+PnPnziUjI4OGhgaKi4sJDw9n3rx5Ion7+fkJCMjFxUVoGDs7O6PRaMSUoDS8IpfLmZiYEFW7hBdL+PJsprTu1OS9fv06+fn5tLW1CfjK3d1dYMVz5swRTIzpWHFgYCDDw8N8+eWX3/ma/yzxf4a98Pcex83Njddffx0HBwe2b98utGjv9/zZ8HqtrKyYN28eHh4ewF8twQcHB6moqKC2tha9Xj9jdHFoaIjr16+zZcsWLl26RGxsLK+88gpmZmYcOHCA0tJSlixZIrq7+/btQ6FQsGbNGiwsLLCysmJqakoItri6uopmQEtLC7W1tVy/fp2GhgaWLFkiJACli/a5556bMYILiOrGaDSKEWATExOCg4NRKBQUFRXNcP6VyWTo9XqsrKyQy+W0tLSImX7pOaWlpfz5z3/mv/7rv8T0XHl5OUNDQwQFBWEwGFi3bh3Lli0jLi6OpqYmoYIFiCapxGKQGhtSg+fOabOmpiZMTU3FdFp3d7dw4LWxsUGr1RIeHo5Go2HTpk309PQIWprUIJN4zePj40JKUfqMsrKysLa2ngE9nTp1CisrK6Kiojh79iy3bt3CaDTy+eefC6zawcGBM2fOYDQaUavV7Ny5k9bWVtLS0vjZz34mXuNOV2Xps5QWmF//+te4uLiwf/9+tmzZgoODAxs3bkSpVJKVlSVEb1544QVsbW0xGo24uroyMDBAVVWVEJspKytjampK9Bysra2RyWSi92BpaYm5uTkWFhaiIadWqzEajbi5ud3TWXq2IU3blZWVMTIywu7du/nggw/YsWOHuMYSEhJ4+eWXefvtt3nnnXcENVRip8w2HB0dOXfuHDU1NZw7dw4HB4e7nhMdHU1ubi7l5eWUlJSwevVq8bNdu3aJRay4uJjo6OhZv/YDXekqlcoZU0zTYzaVrrSiLlu2DGtra7Zt2yaaF98WKpWKrq6ub8WS7O3teeeddwS2PD2BWVlZ4erqilKpZHx8nBs3brBv3z4cHR3x9PRk3rx56HQ6Ll++THt7O/PmzSM0NJTy8nJB0Pf29qazs5O+vj4sLS2JjIwkMzNT6AxIN+Tnn3+OXC6ns7OTlJQUampqGBkZobGxkZSUFNzd3SkpKWFycpKFCxcik8nuev+SC4VEpjcxMaGyspKoqCgmJiY4efIkTz31lPAzAwQFzWAwCGEbKQYGBvjoo49Eg0tKZjt37qSsrIzi4mKUSiWenp5kZWWJf7u5uaFSqbC1tWV0dBQvLy8sLS0pLi5mcnJSiOwUFBQwPj4uMOSysjI0Gg0LFy6kt7dXVGhBQUGYm5vz9NNPCyWzDz74gN7eXpRKJVFRUVy9ehWDwYBCoSAuLo6cnBympqYIDw/Hw8ODhoYGBgYGGB4eJiAggPDwcHJycjAajXh4eIipsnPnzs1w57158yahoaEEBwcTHx+Pu7s7hw4dYmpqinXr1glRIWDG5z4dVhgcHOTWrVtiQczIyGBycpKioiLa29uJjo4mKSmJuXPnCh0HOzs7SktL2bRpE05OToSEhFBVVSWYCQ4ODhw+fBhvb2/s7e3Jzc3FxcWFqakpgeEaDAZhLSWXy0WjTmrAKRQKIRz/t4RcLic+Pl7wYPV6/V1OFfn5+YKlpNFomD9/Pr/4xS/Ys2fPrBgT//Zv/0ZlZaWQu3z44YcFfVAKhULBsWPH+P3vf8/x48c5duwY27dvR6vVsmLFCj766CM2btzIli1bZmVqIN4fD3DStbe3Jzw8/J4/i46Opry8/L5fQEhICKtWrUIul3Py5ElCQkIEPvhdERAQMMPTS/IJi42NZdGiRSQmJvLwww8LKhT8FRuVKorGxkZKS0tFwkxISKCnp4eSkhK0Wi3p6em4uLiQm5tLU1OTEFaXSO1eXl5ERkaSlpaGl5eXuDFzcnL4y1/+QktLC8nJyaKSPnPmDLGxsYSEhFBQUCAaOKmpqQwNDfHUU08JkZrpHE+Y2bCRMOn9+/czb9485HI5Dg4OzJkzBzMzM7FllSCZ6e9fckyQMGd/f39Wr15NTU0NDg4OyGQyYW00Pj5OSkoKVVVV5OfnU1JSQmhoKAaDgYGBAbq6uvDw8MDX15e5c+cSHByMqakpfn5+FBUVMT4+jre3N4GBgYJyFx0djaWlpWjESS4YjY2NnDlzhpiYGNra2ujq6sJgMAict6+vD61WS0pKitB1ValUwoJGYsmMjIyQlpYmTCFfeeUV+vv70Wq1QhR/+kCCq6srdXV1YqovJCSElJSUu5yep+8i7ryeJJlPjUaDjY0NERERZGZmkpycLPQmLC0tOXv2LJ9//jlTU1NCdezgwYOCmSOXy9m6dSsREREkJiZy8eJFMUJfX18vKuOOjg5sbW1niBLJ5XKxAwKEOH5lZeXf5JEmWTcVFRV96/MGBweZM2cOn3/+Oe+++y5bt26dNUXtww8/5O2332Z0dJT6+nr+4z/+Q4jbSDEwMCB0ekdHR3nhhRc4ffo0AwMDrFixgpqamr/JmPKBTro2Njb3NYoLDw+noaHhLggiMDCQp59+GhsbG6Fpq9Vq76lle7/w9fUVHenk5GTWr19PZGQkPj4+Aqed3nCaXrFIgtaurq74+fkxNTUlvKUCAgLw8fFhZGQEo9GIv78/GRkZxMTEYGZmhpWVFSqVSlgGSVXpwYMHOXr0KCEhIfj7+1NQUEBbWxsKhYKEhATGxsYoKCigu7ub9PR0TE1NhRuBhDkrFApxI9+ZcKePjEoVbEREhNB4iIiIEJWOBKFIC87w8LCoIq9fvy7EzoOCgkhOTqa5uZkdO3bg5ORETEwMubm5Au9LSEjAwcFB3HzW1tbExcXR1dXF6dOnGRoaIj4+ns8//1zYlwcGBuLr60taWprAy8fGxpiYmBBC35InmsFgoKenh82bN9Pb20t6ejoGg4GKigphOjk5OUlVVRVqtZqkpCQhCB8ZGUlPTw/R0dHk5eWh0+no7+8nPDyc4OBgYmJiMDc359NPP+XWrVtkZGTg7Ow8Q6ErPDwcT09PIUwkfWbT4Z07oR6J2fGXv/yFkJAQgoKC6O7u5osvvhA8bjMzMzQaDdXV1UKIKCoqCi8vL0pLS+nq6iIjIwN/f3+OHDmCRqMhMjISDw8P9u7di6urK+np6UJOMSoqCnNzc/r7+2doOJiZmYnrYvq1YzQa8fT0JCIigrKyshkLxWxCoVAQEBDwrWpmUsTExJCVlTVreqgU7733Hv/6r/8K3E6o7733Hn/605/u+/zExERWrVrF73//ewBWrFjB+vXrefnll1GpVGRlZc064T/QlLHZjPZKAsS+vr5C9evw4cN/l9K8RPZ/6KGHmDNnDk1NTdjb2+Po6HjPhCX9WyKgT7+BXFxcRANNr9djYWFBaGgog4ODdHR0CLL55cuX0ev1LF68GJ1Ox/j4OPn5+Tz88MMkJydTVVXFgQMHePPNN3nmmWfYvn27aHT5+vpiYWFBXV0d+fn5pKWlUV1dTUNDA729vQL3nI4VSkpipaWlYqRY+tno6Ch2dnYzhh2mV2fSxTc6OoqDgwNGo5GrV69y4sQJVq5cSUVFBYmJiQwMDLBz506mpqbIzs4mISGBxMREQTkqKChg8eLF2NvbMzw8PENeEW7juJOTk4SEhHDixAkuXrzIggULqKur48yZM/j7+/PGG2/g7++Pn5+f0OK1srKio6OD3t5eIbgzNTVFbW2twIT1ej21tbXCy81oNIrzlkTYb9y4IZybpXHRS5cusW7dOgwGA1u2bBHV0nRZR4mVoVQqCQ4OFteI1KyanpykxUz6fgYGBti/fz8Gg4HNmzfz6quvEhoaym9+8xsMBgNZWVkMDw+zfPlyrK2t+eSTTzAajaxfv56IiAhsbW2ZnJxkYGCAgIAAfvnLX3L27FkGBwfx9vbmJz/5Cd3d3eh0OgGNwO3+hMSzNRqNoqdxL/qa9G9PT08hkyh9hgaDgdHRUYzG2+4n4+PjQqxIiu+rMHY/fWpJHe3O+M1vfnPXY9+2ILi7u/PZZ5+xfv168bxf//rXdHV1YW5uztatW/nlL3/Je++9N6tz/j/bSJO4ul5eXqxfv57U1FROnjzJoUOH/m5rD0tLSxYtWoSjoyMlJSV4e3vPAOIl2cD333+fTz/9lPz8fM6ePTtjSyY9DxC0IIPBQFNTE21tbTg5OVFfX8+2bdswMTEhKSmJOXPm0N3dLUaWW1tb+fLLLwkKCuKxxx6jv7+fY8eO4efnJ5LziRMnMDMzY8WKFQCcOXOGgYEBVq1aRWZmpuhiS+cjnZ8EM0RGRjI8PCzgAb1eL0j5paWlREVFzfh9aUwWEA2b8fFxvv76a+D2TTJ37lwhWCR9h+3t7TQ2NpKWlibOQRpBlpJ+f38/3d3dgnI2OTkptudwO2k1NzeLxNnY2CicHPz9/cV5tbe309TUhIWFBWZmZrzzzjuigejg4CCaMlVVVTg5OYnqrrS0FHNzc8LDw5HJZPT19VFTUyMcguF2ooHb8IgkegR/lXVcuXIlixYtwsPDQzTqpApRSrj3G3QYHR3FycmJV199FRsbG2xtbWeo6dXU1PDVV1+Rk5PDwYMHCQwM5OWXX0Ymk7Fjxw7y8vLw9fWlo6ODP/7xjxw4cAArKyuefPJJHBwcMDU1xcbGRvjWSQ0tuN2ElWCGO7UcBgcH6enpYWBgALVaLVgpBoPhrmRmYnLbnsnBwQF3d3cCAgJmjBHD7LR0pZgu63hnPPzww0RGRt7158SJE3R3d4uE7O7ufl/pVTs7O06fPs1vfvObGc7EXV1dwO1rbteuXaJ/MJt4oOEFo9FIamrqPX8WGhpKbGws3t7enD9/nmvXrqHRaO57rMTExLscge8Vbm5urFixQtCm5syZM2MbODo6yh/+8AcKCgrQ6XQCNvjqq6+4cuUKExMTQnsVbl+Etra2YszWxcWFrq4umpubSUlJwd7enu7ubry8vLCzs2PPnj10d3cTGxuLnZ0dZ8+excrKirS0NAYGBigpKcHOzo60tDTa2tpoaWkhIiJC4NCS0WJaWtpdVCSpupXJZJw/f154nkk7Bq1Wy/79+4mPj8doNGJjYyO4twaDAb1ez9WrV/H39xcJ+PTp04SHh2Nra0t7ezsrV67EaDQKl4ju7m7RhJBw07a2Nnp7e0Wzy8/Pj9zcXOD2BFJQUJDY0ktqckVFRYyNjQndhNzcXKKjo4mIiMDZ2ZnOzk72798v+Mc5OTlcvXqVBQsWkJ+fT05ODjKZjNDQUPz8/EhOTkapVKJUKrGwsBBYbkJCgoBipOk/6Zw9PT1FJe/l5YWJicmMcdGSkhIx8isl6unYtwQZTd+mS/8fHh7mj3/8Iz09PaSmpopJRSsrK4qKiiguLhZYbXl5OR0dHcJOPjg4mJKSEtFDyMzMJDQ0lPDwcLGASp/JkSNHhMSovb29aI7Z29tjZ2dHd3c3NTU1nD9/nq+//poTJ05w9epVcnJyaG1txcTEhO3bt3Px4kXOnz/P9evXmTNnDra2toIqKb3vkpISDh06dJdal6enJ1ZWVneJR90r0tPT+fDDD2ftWCyFj48PKpWKnJwc3njjDVpaWu5qpJmZmYlCbdeuXTN+5u7uLoay3nrrLTo6Orh48eKsXvuBTrp6vX5GZQQIfVVfX18qKys5fvz4XRNr94ro6GjhW3W/UCqVvPHGG4IULmFa0utXVlby8ccfz+D1mpubExoaKjCn1tZWKioqhGEi/LXClEZilUolrq6uDA8P4+npibm5OQcOHCAsLIyEhAQhqhIUFIRcLufrr7/Gx8eHlJQU6urqKCoqQqVSER8fT1lZGQEBAQwODgoifHJyspj8uheOOzg4yIULF8jMzARuJwQrKytKS0uJjY0VQubSpJRarRbvRaoS9Xo9H3/8MSUlJZibm5ORkUFUVBRWVlacOHGCvLw8oqKiCAoKEg3M3t5eEhMTUSqVwnpbJpORlJREZWWlqLri4+OFhY5GoyEjI0PoGEiMiPj4eKHZYGVlxaeffirgGgkv7OrqIjQ0FCcnJ7KysmhpaSE2Npa+vj4+/vhjamtrmTt3Lo6OjoIzamZmhre3t/CZq6+vJyEhAQ8PD1JTU2lubmbnzp04ODiQkpIimBPSe0lJSRF29NN3D9LPpZg+3qvX6/nzn/8shgzc3d0F9a2goICmpiZyc3NFF9/b25uysjIx8ZWenk5oaCgNDQ14e3vPGJL58ssvOX78OMnJyQQEBODq6oqlpaXoS7S1tXHt2jVyc3OprKwUHPHw8HACAwPx8PAQzh+SfvH0hUar1XLjxg0uXbpEfn4+eXl5VFZWcvr0aQoKCu6ZLKX3Nn2ncL/IzMzk/fffv6/M6/2isLCQX/3qV/zLv/yLUJmbmJggPj6ef//3f+fkyZM8++yzbNy4ES8vL1577TVee+018vLy6O7u5vjx47z77rts2LCBkZERfvGLX8z6HB7opAsIjM3R0ZGlS5cSFxdHdna2cFdta2ub1XHu13iTQi6X8+KLLwrKjCQ7KG21Ll68eJdMnPR7kZGRQhYQbo8v5+XlYW5uLiZqpqtyAYIbaWJigqWlJdHR0UIcJSEhgebmZsbGxoiPj0ej0XDhwgWioqKIjY3l5s2bVFZWkpSUhL+/P3K5nMuXLwu2g5RwpdeTFgnpfclkMsLDw4UoyvSutEKhEA1BCWuUEq5UlU1MTPDBBx/Q2dkJ3F5o0tPTsbGxoby8nNraWvr7+1Gr1cL8sLOzU2xdU1JSxFBDf38/GRkZorI0Go0kJiYK4XBJa9bOzg65XC7of1NTU+zbt48rV66Qnp5OT0+PcHuIiYmhqamJ1tZWHB0diYmJITs7G71ej6urK3PnzhW7Ejs7O0JDQ/nkk0/Izs4WmhZGo1FUjVZWVri5uaHT6YTYfG1tLcnJycyZM4eCggLs7Oz4zW9+MwNjlL6D6dXt9Cp3egQHB9Pa2srzzz9PaGgo165dE43Drq4u6uvraW1tZXh4mIyMDHx8fCgrKxNCPGlpaaSnp+Pj40NRURFlZWVC06Kjo0OIr0tjz1lZWXzxxRdkZ2fT2NhIT08PXV1d1NXVUVxcTF5eHrdu3RIj9JGRkcybNw9vb288PDxwcnLCzMyMiYkJwdjQarWMjY3R39//rYNFAQEBaLXa7xSggtuDQP/5n//5vVkS4+Pj7N27l82bN/PZZ5+J/lBnZ6fwgSsrK+O9995jy5Yt4o+0K9u7dy+ffPIJn3zyCceOHfteSf+BT7oLFy5k+fLlJCcnk5eXx/nz5xkaGsLJyQl7e3uamppmdRyVSiXGcu8Vq1atQqVSCXtqKVEajUaOHz8ulP/vFQkJCaJyk8JoNFJbWyuqremJV7rxdDodcrlc2PO4uLhgZmaGmZkZXl5ewtInLCyM0NBQRkZGcHFxEfivXC7Hzc0NhUJBTEyM2N5Jr9HT0yMs06dXVWZmZmLO/l5JQJo2MzExoaamBmdnZ1ExSzfY8PCw2EauXbtWaMZKQjKSDXpERAQhISHk5uYKrYb09HTkcjlVVVVMTU3h4eFBREQE2dnZWFpaEh4ejpeXF7m5uRgMBsLCwlCpVMydO1c0rszMzDhy5AhjY2MkJiZiamoqEvmCBQsYHh4WXNKkpCSampro6+sTDsK1tbUMDg6KabS+vj7a29tRq9WoVCocHByEfnFsbCy2trYCF0xPTxfTgL6+voSFhfHEE0/MwGz1ej1TU1OiUTadUjg9/vKXv3Djxg2Sk5NJS0vDzs6O/fv3k5WVRWlpKYmJiQQHB9PS0iLEtgcHB8nMzBSeesuWLRPedePj45w6dYri4mL6+/uJi4sjLi4OMzMzCgoKOHToEOfOnaOlpeU7cVWpIdfc3CwUwTo6Orh58yZWVlYEBgaSkZFBRkYG4eHhuLq6YmNj852iN5JY0HdZXEk7hz//+c/f+rx/tnig2QsAjz32GDU1NcJDSorvI0wO958ys7e358knnyQ4OJj6+nr8/PxmNI527dr1rTJv07vP94qKigqsra154oknZjAdJE0DCTudmpoSfk3l5eUEBwdjZmZGS0sLnp6euLq6Ym5uzvDwsNgONzc3o9PpcHd3n3FTS4l3erKUYJLpfEsTk9sz/ZJdiyRcIy0Qkri19NixY8fo6elh/fr1LFq0iPz8fKKionBxcRF4osSmkDQPvv76a370ox+RkJDA9evXGRsbo7i4mPj4eM6cOcPExAQFBQXExMQQGhpKZ2cnw8PDuLm5sXLlSvz9/UUTU8IZk5OTefrpp3FzcxMYZGRkJCYmJqjVajQajWh4NTc3Mzk5SXBwMFVVVdTX16PX61GpVDQ0NNDR0SHkGqVGyo0bN3j66afx9PQkNTVVDJjExMTwxRdfiB2PUqnkpz/96QzHAfirsP3U1BQWFhYMDAwIbQXpcwe4du0aJSUlYuBFCokxMjIyQkFBAZGRkfzoRz9i7969VFZWUlBQgLW1NcuWLSMoKIiWlha2bdvG5OQkP/rRj3j99dW81fUAACAASURBVNdpbm4mMDCQiYkJrl27hqenJ4cOHbrvdTqbsLCwYHx8nI6OjruqVAcHBzw9PfHw8CAmJgalUolOpxOCN9NFb2arpSsp5D1o8cBXulqt9p4TZJIGgES2/67w8/NjdHRUMBtsbGx45JFHyMzMxN3dnd7eXlFpSjfFvn37qK6u/s5j3286ztvbm1WrVmFlZcWRI0fw8/MTY653JkhTU1Ohuevh4cHQ0BAGgwEXFxdOnTqFpaUl7u7unDp1isrKSsETlWhs048nJdg7GzZ6vZ7Ozk6R5CVeriSWI9HFJKUxaTFpa2tj69at1NbWMjQ0RENDA8nJybi6uuLk5MSlS5coLS3FxcUFNzc3PD09cXR0FMd0dXVFpVLxzTffYDTethRPT09HrVbT0tLCwMAA8+bNw8rKisbGRhITE7GxscHT05P29naOHDlCaGgoo6OjlJeXMzo6yvz580UVZm5uLnQZRkZGiImJwd3dXdDwpks7SiPU7u7uQkPAxsaG+Pj4GXzcBQsW4OnpSXBwMCdPnuTcuXMkJyfj4eFBYWEhNjY2bNiwQTAtpJB2CZJimzQufS9Obl1dHTKZjB//+Meo1Wq2b98uuNudnZ309vaiUqnIz8/H1dVVyFsGBwezZMkScV8YjbdFcCTPOV9fXxQKBZcvX+azzz6jvb2dwMDAGRDY3xJBQUGo1ep7TmdNTEzQ29tLY2MjJSUl5OXlUVpailqtRqFQEBoayoIFC0hNTcXLy0tcW5Jx7L1Cgn42bdr0d533/3Y88Ek3ODj4vrKM0ujsbMLLy4vJyUmGh4dZuHAhixcvpqysDAsLC7y8vJDL5WLLbTQa6e3tFdjPd8WdSdfZ2ZkVK1YIVsONGzfQaDQUFBQQHx+Pubm5mJq60ztM2tZbWVlhZmbG6OgosbGxNDY2MjExITBbc3NzUelPv5mNxtsSjVKVIN3sJSUleHh4oFAoaGtrm8E5lix1urq6UCqVM47Z1NTEZ599NsMYcHh4WAx/SE60jz32GK2trVy/fp24uDgqKyupq6sT7IegoCBBH7K2tsbJyYmAgADy8vLQ6/U4OTkRFxdHQkICjo6ODAwMYGFhwaZNm+js7MTd3Z3w8HCBxUZFRaFQKCgsLGR0dJQFCxYwMDBAY2MjoaGheHh4CLsee3t74uLihMi5lZUViYmJAjOWNHaHhoZoaWlhamqK+fPn4+TkRF5eHmfPnhVwgSQU/8wzz4iR6MnJSbGwSYlQappKi9idVMKxsTFUKhVxcXGMjIywZ88esXUPDg4mIyODgYEBHB0daWlp4cqVKwQHB5OZmUlYWBjV1dVs3bqVkpIS4uPjBeShUqkoLCxk165dVFRUMDU1hZ2dHX5+ft97wODOCA0Npb+//74UrjtDcttta2ubIXqjUqlobW3F1dWVefPmsWDBAqKjo/H09BTC+OPj4zg5OeHl5cWnn376d533/3Y88PDC/bYh4+Pj3wtemJycJDIykoULF3Lt2jU++eQTfHx8iI+PR6vVChwX4OzZs/edhPu2UCgUPPTQQ7i4uHD+/Pm78GaJOH7s2DFWr16NXC4nNzeX8PBw4TJx56SbNM0UGxsrHpe223fihBL31tLSkqysLBYsWADc5hw2NDQQGRk5gwZnNBoZGRnB3t5eYKvSeRYWFgpZvnfffZehoSH6+vro6OjAxsaG2NhYYfn98MMPs3fvXtGpjo6OFnY0ra2tIuE7OTlx+vRpkUgSExN58cUXZyx8kjLasWPHeOedd4iKiuLatWuUl5eTkJBAQECAcPLNyMjAwsKC0dFR2tvbUalUXLp0SfCOg4ODaWpqEvBQUFAQN2/epKysjB/84AdClaynp4f29nZiYmL45ptvCA0NFVDUdNyxsLCQJUuWiKECqUlZUVFBTEwM4+PjM3SejUaj2NlMjw8++AClUsm6devEUM2yZcuE5kRLSwsWFhasXbuWxsZGbty4IXYP0nfe39+PRqPBaDTS1tZGREQEfX197N69W7iJSGFubv4PMZP8R/ijSed/8+bNGdom1tbWQpN3/vz5BAQEYGdnx/DwMG+99ZaonmczVOHo6Mjnn3+On58fTU1NrF69+p7Ow1NTU2IhamlpYfny5cDtXfHBgwcFy+aFF174/1cjbc6cOXh7e9/1uKSp+13cW5lMRmJiIvPnz0ej0bB7924hL/fSSy/N6OCbmJhw9OhR8vPzv5d0ZHJyMg4ODixYsICCggK+/vrr+9pLJyUl8dVXX1FSUoKPjw9RUVF0dHQwMjKCra3tffHhO2lf9yLZSwI0JiYm+Pr6im2uvb29mP+/E4qQqjCpsSeTydi8eTP5+fkUFxcLHrCZmRmXL1/GyclJOC9IzrBOTk5otVqGh4eFZGFqauqMsdiRkRFSU1Npa2ujuLiYzs5OIXfp4OBAS0sLcrkcGxsbgfsplUo8PDwEJzU1NRWdTkd1dbXwNmtpaRECNtHR0Vy9epWAgACsra2xtbWloKBAvLZMJqOsrIyJiQnCwsJwc3MTOK6VlRVJSUm0trYKu/qmpibCw8PJzc3Fw8ODt956a0bVKjXMPD09xQ5DwnKla+9OHF/qTaxbt47W1lZOnTpFbGwsRqORHTt2UFJSwsTEBGNjY7i4uAiMdN68eUxOTnLs2DHBYAgPD+ehhx7C3d2dr776ioMHD97zulMqlbi4uMwKKvu2iIqKorGx8e8WFU9NTSU/P38GXntn0y47O1twx3Nzc8nMzKS6unpWg0+zEbsB+PnPf46vry9btmzh4MGD4vEtW7awa9cuXn31VRYtWoSnp+esOP5S/J+tdKWZ8PuFiYkJUVFRpKenc+vWLc6ePYurq6u4IR566CHBDpBoVJcvX76LhfBtYWpqSkpKCs7OzuTl5YmRzNnE8PAw27dvZ8GCBSxatAj4qwCHjY0Nzs7OotqSKFzS/6czIaT3KsV0nyzgnqaZ0u8YjUYmJiYoLy+noqKCH/7wh1y9enVGk6SmpoaPPvqIH/7whzz77LMiOR8+fJjS0lKUSiUvv/wy8+fPZ86cOSgUCtHlnjt3LikpKeTn51NdXU1LSwuLFy/Gx8eH2NhYgSnv3r0bFxcXUlNTBStBEniJj48XOhAjIyMkJCTQ3t7OyMgIWq2W0NBQIaO5cOFC/P39MTExob29ncjISFHlVVRUEBUVJaiA0sixNIJcUlLC0qVLef7559FoNExMTHDu3Dlef/11Nm7ciLu7+4xpPkn3dbqmgq2t7V0N2+nXqYmJieDxdnR0sH37diYmJlCr1bz44ou8+eabbNu2jdraWmpra7l69Sq/+93vsLKyYnR0VGgFe3p6otVq8fLyElqzFRUV9206/aMq3X+UKaWk2/xdYW5uTnNzM3v27Plex1++fLnY5e3Zs4fLly8LA8rZxEMPPcTatWvF7//ud7/7XhDHAz0GDH+bpm5oaCivvfYaXl5e7N69m4sXLwpsDW43TlJTUxkcHBRz9pWVlZw7d25Wx5fJZMTHx/Paa69hNBrFQMRsEu705xiNRrKysvjwww9pa2vD2dkZU1NTzp07R3V1NRqNhsLCQjQajZhX7+rqore3d4b05NTUFBqNBo1Gg1arFdNikp26BGvo9XoMBoNo0kxNTWFlZUVYWBirV69mZGTknp9Bf38/JSUlIknm5OSICra/v5/t27djMBiwsbHho48+Yu/evZw/fx61Ws3jjz/Om2++ycaNG7G3txf4akFBAZs2bWJqaoqnn35aVNg6nY6kpCQGBweF87BGo+HEiRPk5ORgZWWFo6MjXl5eqNVq4uLiWLx4MUqlkqmpKaKjo5HJZEJfVxoZLi8vFzQnQGwrIyMjxWcosQ62bds2g6stwS5wuyKTEpylpSXW1tZCwEjSLDAajSKpSDS+/4+9746L+s7Tf6YCw8zAFIZhClVBuiBIkSq9o9FEE6PGmKyJu7lNNndJ9va3d7eX3Utu7/ZSTIw9ievG6CYWigpWULFXxEaR3nuHYfj9wevzyQwMMMBsiXfP65XXK+KAX6Y83/fn/X7ez9PU1ISsrCxqoH7kyBFaUJSXl+Pzzz8Hg8HAT3/6Uzg7O8Pc3BwbNmyg+XpkM+/u3bvU7/by5cvIycmBWCzGqlWr8NZbb2Hjxo1ITk6Gr68vDQs1luSmAznZ/LXA4/EmPTFOBVtbW7rG29DQQNe8x8Pc3BxXr15FUVERbS1IJBJ0dHTQhZaamhoolcoZ/fs/+krXWGMMAHByckJsbCxaWlrwpz/9SW8bZmBggJJuTEwM1cMCY+ub3377rVH/hru7O6Kjo1FaWkorFUdHR3C53Bldqy4aGhqwbds2BAUFITExES+99BKam5vR1dUFLy8vjI6OGWPrTp89PT3xwgsv4NKlS7C1tcWXX36J4eFhLF68GJmZmRMe7+bmhnXr1qGsrAyFhYWorq7GwMAAXF1dER8fT4ll3bp1KCwspEdRBwcHpKWlwdbWFp2dnaiursbSpUthZmaGrKwsjI6OoqWlBfv378f69euRmZmJP//5zygtLcW+ffuwadMmcLlc2NjYYGhoCH19fdSiceHChRgeHoaFhQWam5sxMjJCpVnZ2dlobW1FTU0NfH19UVhYiFu3biE1NRUsFgunT5/GwMAAnnnmGWqI0t7eDi8vL2i1WhQXF2NoaIgOpCoqKjA4OAhvb288evSI9qd9fHxw48YNvPrqqwBAHeJIBU9AqtxHjx7Bx8cHZ86cQWRkJADQgZpuJUxsMIGxCf3evXuxadMmqm9++eWX8dVXX9F+c319PbZs2YKNGzfi1VdfpVP/+vp67Nq1C2q1GmvXrsXGjRsxMDCAnTt3GlTuCAQCKJVKmnQhlUrB5XLR29uL7u5uKt2aDQmboqc7E/ylzW6IT4WTkxNOnz6Nu3fvznjd2BB+9KQ71YtMNLIymQxxcXEYHBzE999/b/CFIrpemUyGwMBAGov++PFjg/pFUvWQN6ejoyPi4uLQ3NyMvXv36vW1xocLTgVyNNVdR2YwGDSdl/ichoWFUQnZxYsXUVFRQR9vY2ODFStWoKqqCjk5OVi7di3doY+Pj0d5ebke4fL5fGRkZKCnpwd9fX2IjY2lFW9nZydsbGxw7949VFZWYsmSJdiwYQPq6uowMDCA4eFhCAQCDA0NYceOHWhtbUVycjIiIiLA5/Px7bffYmRkBPfv38fJkycRGxuL6upqNDU1YenSpQBA2y8nTpyAWq3Ghg0baEXJ5/Oxfv16REdHIzw8HHw+H2ZmZnj22Wdx5coVlJSUID4+HhKJBK2trbTPmp+fT28MYrEYFy9eREBAAGxsbHDw4EHU1NTAxsaGtjIsLCzQ2dkJPz8/lJaW0kSF6OhovP7665BIJNi1axfWrl2LdevWGWxdDQ0NwdPTE8DYpiTxFSYzAfKajl+G+PLLL/HSSy9hdHQUW7duhUajwSuvvIKNGzfiwIED1Nqyvb0d+/btw89+9jOIRCKq8R4ZGaFOcrW1tdizZ8+kFWB3dzcePHigR8ihoaEQi8U0G5Bk4TU1NaGurg61tbWora2l+uDJwOVyTVIxGwszMzM91Ywu4uLiJv0+YnbT0NAwpdkNaaNVVFTg7Nmz8PPzw3fffQdra2v6GVWpVBO8I6bDj550pxJRj4yM0N5LXl4eXUs1BNJrS0xMpEfhtrY2/PGPfzTYCyOPF4vFiI+Px8jICA4dOmRQLjMT0iXDFvIBdXNzQ0xMDEpLS7Fjxw76+965cwdr1qzB4OAgoqOjER0djfr6elRUVMDDwwMajQbffPMNlTKx2Wy9ChQY+5AolUr4+vrC2toae/fupRI7DocDuVyO5557DsDYkggZlNjZ2cHW1pZ65zIYDHzxxRf0d8/JyUF3dzdSUlJgaWlJ1yxPnjwJV1dXLFu2jC4q5OfnIzg4GPb29ggICMDChQtRXV0NGxsbtLW1oaamBsXFxXBxcaE79m+//Tbs7Oyod+7o6CjWr1+PO3fuoLW1FYGBgZBKpdSPISgoCL6+vrh16xbc3NwgEAjQ0NCACxcuYO3atSgtLaUOZ6mpqVCpVLC1tYWtrS2tbK9cuYI1a9ZQpzLdFfC+vj5K2iRVlxjr6OqfVSoVVTDoDisJiW/dupUWBFu2bMH69evx/PPPw9bWFsePH4dMJsPGjRsxNDSEO3fuYNGiRRgaGsLatWvh5uaGq1ev4rvvvps2+WQ8mEwmGhoa9IZB5PdWKBRYsGABli5dCktLS3R0dKC2tpYuNLS1tU0YBs4FM+kvc7ncWTkGHj16FOvWrcOHH36IdevWTVisAsaWOfr6+jA0NASJRELXjYExx7gVK1bg22+/nfT7p8JTSbrW1tZYunQpZDIZcnNzcevWrWl/zuDgIKytrSGTyaDVajE0NITPP/980jv36OgoMjIyYGZmhry8vCk9HmZCusPDw+ByuZBIJEhMTKTVzfhjTV9fH3p6erB7925IJBJ4eXnBxcWFelEAY+5Hzc3NEAgESEtLg6enJx49egQejwcPDw9wuVx0dHTA3d0dFRUVeprm4eFhyGQy2NjY4LvvvsO1a9cQHByMkJAQam7t5+dHdcQrVqzAuXPn8PDhQ/T396OgoADd3d1YuXIlfvKTn6CoqAjBwcE0bFOj0WD79u1oamoCm81GdHQ0enp68Pnnn0MsFuPNN9/E0qVLkZ2djcLCQpqucfHiRRQVFSEtLQ03b97EsWPH8Oqrr0IsFqO2tpZu8W3atAnt7e2QSqXg8Xh0W8vT0xNeXl44c+YMDRf19PREWVkZ1RMzGAzcuHGDGp1rNBoEBQXR1x34YRBZW1sLpVKJ8+fPIywsjG63jScfuVyOqqoq6rUBjA1LSexQV1eXXvtpYGAA27dvp1aQDg4OkMvl1EiosbERJSUlWLNmDVxdXZGVlYVz584Z9R4bDw6HQ82ECLRaLU011k1wsLKyoiGm/v7+VJlSW1sLHo9Hw02NNfQeD2O30chjjdUE6+KDDz7AgQMH8PLLL6OyspJmn5E5zCuvvAJ3d3ds27aNDjo/+OADmhLxzjvvYP/+/Xj//fdx8+ZN7Nq1a0b//lNFupaWloiOjoZKpcLp06eh0WiMflFGR0chEokwMjKCgYEBfPnllwaPUzweD1FRUVCpVDh16pSex+ZkmAnpMhgM6n2bk5NDG/7jodFoKLm2trbi3LlzOHfuHNhsNq1E5XI5pFIppFIp3NzcwGCMRcKQ1V3gBz1zQ0MD9eRtbGxET08PUlJSUFFRga6uLmzevBn379/Hp59+Co1GgxdffBEsFgsHDhyAg4MDAgIC8Nxzz6G7uxv9/f1obm5GXV0d7t27B29vbzzzzDNoa2vDwYMHUVlZiddeew3r169He3s7Dep0c3ODRCJBY2Mjrl+/jpCQEJw/f56SfEREBC5fvozr168jISEB4eHhOHjwIC5fvoznn38ew8PDyMnJgUKhgFqthkajwdmzZ5GcnIz4+HjExMRQqVlERAQeP36M0tJSeHp64ujRoxgYGEB5eTl8fX0REBBAe/zktSPDMF15nkKhwPDwMLUYJa8JMHaUJ8m5YrEYarWafn9JSQl1/CooKIC/vz/eeOMNfPXVVygrKwMwRnxEqRETEwOtVosDBw6gsbERUqkUycnJGB0dxVdffYV79+4Z9f4yhJm0BTo7O/V8K4Ax8lMoFPD29qb2ksDYMV63KjZmpjET0p3KS3cqtLW1ITY2dsLXr1+/Tvv0RUVFk2rxKyoq6E14NngqSNfMzAwRERFwdXVFQUEBcnJyMDo6CkdHRz0x+lQICgqiGsqvv/56Qp+Gw+EgLCyMGq8wmUyjw+iMIV0ej4fo6Gio1Wrk5eVNq/ubzNNBo9Gguroa1dXV9GvLly+n/T8S5cLlciEUCmFlZQWpVApra2s4OTnp/UyyohsfH4+CggJaGa5cuRIeHh44dOgQbty4gRs3buDkyZOIj4+nZNXb20udxcgGHInLGRkZQU1NDVxdXdHX14fvv/8eFhYWeOutt7By5Ups3boV+fn58PX1RVpaGvbu3YuTJ0/i5ZdfxuLFi1FUVERNYE6cOEFXf4ODg2FrawuxWAwzMzPk5+ejvLyc2mh+8sknVE/r6OgIuVwOuVwOa2trrF27Fo8ePQKDwYBIJNKTchEz7tHRUfT29tKFFCLNI89ZT08P9afVarUQCASorKykNwDyOLJZ5uHhgaKiIhw9ehTnz5/Hhg0b8OqrryIrK4saKMnlcgQHB6OnpwdDQ0NYvXo1fH19aVulubl5ToQLjL2356I6IDernp4eOnAmZktKpRJeXl6Ij4+HhYUF9XQmRDy+JztT0m1ubp71df+t8KMnXRaLhXXr1uHGjRvYunWrXv/VWNMbc3NzJCUlURWALmGR5YnFixfj2rVr2Lp1K7UAnGmf1hA4HA5CQ0Ph7e2NgoKCGZG5MeDxeDAzM0NUVBQePHiAR48eoaGhwWDfj8FgQCwWw9HRESEhIXQLTqlUYvXq1QDGlhiEQiEePXqE5uZm8Hg89PX1obu7G1lZWejv70doaChcXFyoUfXRo0fBYDCwYcMG+Pr6YsGCBWhpaUFHRwfUajV+/vOf4+TJk8jPz8eyZcuQnJyMrKwsnDp1CklJSXB3d8f9+/dRXl6OmJgYXLt2DefPn0dISAhCQ0Nx/PhxulHX2tqKTz75BO+++y78/f3p0DAzMxMymQz19fWora2FpaUlvv76a/B4PPzqV78CMKa/JF4JpJIlNwyiu9X1UmAymSgrKwOLxYJSqdQjXAJiVqNL4La2tli1ahWGh4dx7do1mJubo62tDVu2bMHq1avpivipU6fw8ssvY2RkBFu3bkVHRwdWrlwJPz8/dHR0YPv27VizZs2c3yOmGICN78WOjIwYNL4Ri8VQKBRQqVR0aaivr48SMZvNNloBweVyZ1Xp/q3xoyfd4eFh/Pd//zfdydaFsaSbmJgINpuN7u5uemxiMMbi2SMiInD//n1s27ZN7001mSuZIRBzE10wGAz4+flhyZIl9IZBNJ/GkvlU4HK5dFf9zJkzYLFYUCgUdDoNjEnRyGSaDBl9fX3h5eWFkydP0ueCHB/VajXUajUcHBzg6uoKV1dXAGPH6La2NmpUQnxX7ezs4OPjA09PT2oj2dLSAqlUCgsLC1RWVqK3txcqlQrPPvssrR7DwsIQFhYGYKzafvHFF1FVVQVzc3MIBAJERUUhPz8fxcXFNEaeHNsHBgbQ39+Pu3fvwsfHB0eOHEFxcTHS09Ph6+tLvy8hIQECgQDOzs7QarXw8PDQ8xgmQyFdgyMLCwtotVo8fvyYus3Z29uDw+GgtraWbp4Rgi0vL4ezszP9ef39/fjyyy/x6quvgslkorm5GQsWLMCiRYuom9vt27fR0dGBkJAQeHp6YmhoCJ9++ilaWlrg4eEBHx8fNDU1Yfv27RP6sLPFXCtdwHi5GFnw0Z0f6K74enp6QiKRwMXFhTqQkffn+J9PXu8fG370pAuAmk2PR39/v1522WQ4fPgwamtr4evrCy6XC7VajZiYGNTW1uLLL7806LE7U9Il7vrAmF9oTEwMysvL9RQJwA9StNmCyWTCzs6OSqju3r1Lhxq6TvwsFgtyuRxKpRIBAQFwcXGBUChEY2Mjjb4h1Qs5PurGp5ChiVwup5N+UuGRYzsBm82mVooEYrGYBkyS57K7uxulpaVYsGABmEwment7odFoYGVlRf2BgTEddXBwME2sGB4exnfffYc1a9YgKCgIZ86cwY0bNxAYGAgPDw/cvn0bT548waJFi6DVaunN4p//+Z8nuLkBP1S5g4ODdFhDTJWYTCZcXFzAYrFQXV0NtVoNrVZLBfKlpaVQq9UwMzOjQzOyDnzgwAHqp1BcXAwvLy84OjriT3/6EzgcDm3z9Pf30xu1hYUF1q5di4qKCixevBi1tbXYuXPntPKtmcAUle5cFiP6+vpQWlqK0tJS9Pf3g81m48qVK7Czs4NCoYCfnx9SUlJoZdva2ko3RWeq1DDGdyEqKgr/8z//Q/+8YMECrFq1CkeOHMGePXsQGRlJB9vr16+fsTvbU0O6k33d2J7u1atX4evri7Vr16KjowMHDhyYVAMIgOZzGQPyAVIoFEhISEBXV9eE5QyCuZCuTCaDTCZDT08PjVaZDCMjI6itrQWHw6G2h2fPnoVAIIBKpYKvry+SkpLA4XDoQIQcAUkCAFlH1QXJ0xKJRHQFmkyzbWxsIBKJwOPx9AzVyc1LIBDAw8OD/izd51e310xWasmNzMfHBz4+PlTG9Zvf/IZWzatXr6bryQAQHx+vd73jfYbJpl53dzckEgklXNLjJdUrANpOIN+n1WphZWVFfWXJe29kZARXrlzB8uXLYWlpif379+PmzZsICAjAsmXL8MYbb+DgwYMoKysDl8vFq6++ChaLha+++opG1dva2qKrq4vG73R1daGzs5OuqM/FV9YUla6pVoDNzc3R09NjcDbBYDAgkUhoFJVQKMStW7fQ2NiI3//+9wb9E8bj3XffxalTp/Dhhx/inXfewbvvvjthBZhocoExki4tLdXbxPzHf/xHfPfdd7P+HZ8K0p3sxTa2vSCRSBAXFweJRILs7GyjBhNEYmYMzM3N4enpCYVCgWPHjk2qSABmR7rW1taws7PDyMgIysvLjTIcEYvFSE5OBoPBwMGDB2lvrKenR0/PrKvX9Pb2RkJCArhcLpqbm/WImEymR0dH4e7ujkWLFtF0A0OQSqVwcHCAs7MzPD09KUERsuzr66OkS0hNd3g13swHAK2Ex7dndFUHwA+DMfL4mzdvQq1WQyKRoL+/HxwOh+aYSaVS9PX1YXh4GPfv30dwcDC6urpQUFCAlJQUPY0qibshW3Tk3yaJxiTgks1mQ6lU4ubNm2hoaMCqVavw6quvoqioiNoV7t27F/fv36c9/6qqKuzcuRPA2PKLQqFAfHw8NBoN0MkCFQAAIABJREFUli1bRjfKOjs70draOm0kji5M1dM1FelO1qcl240tLS0oLi7GmjVrsHDhQr1T1nSYqe/CihUrcOzYsVlvkxrCU0G6kz0h05GuQCDA0qVLYWtri/z8fPT29hrdJzOmvWBhYYHo6GjMmzcPbW1t+Prrr6f9uUSnawwYDAZNkKirq5t0JXL8NS1duhQODg50ADUVDOk1GQwGTYx1d3enUiziKPb48WPs3r17SvInH57r16/j4MGDcHFxQWRkJFxcXMBms2l8OwA9Q/Xx1/bkyRMolUqqz9V9jO736yZxEHev0dGxeHh7e3t6A71+/TqcnJygUCgo2fN4POzatYsuPLDZbOrRQJ6Pzs5OjIyMQCQS0RVfBoOBJ0+eQKPRYP78+ejr68OxY8cgFosRGhpKd/6rqqrQ1dWF4OBgMBgM3L17FxUVFfDy8sKqVavw5MkT7NmzB0NDQ2AwGFCpVAgODkZeXh7u378PNptNk4utrKygUqlgaWlJzXK6urrQ1tZGE5bH4++t0jWmT8vn82nbbyaDZ2N9FwhWrVqFP/zhD3pf++1vf4tf//rXOHXqFN59990ZP3dPBenOtNLVlZidPXuWbpTMnz/faA/eqUiXzWYjNDQUPj4+KCwsxNWrV+nK63QYHh6etm3B4XCgUCjQ0dGB1NRUNDc3w9bWFjU1NTTHazyYTCaCg4MRGBiIwsJC5Obmznp7aHR0LMusqakJN2/ehEwmQ2pqKoaHh3Hr1i1qsMLj8ahEqLa2FjU1NZNm0JWVlaGsrAwMBgMBAQGIi4uDUCikFeTIyAjNvgPGVmJFIhH6+vrw6NEjeHl5UTIlVQ+pZElqM7G11K2KeDweLCws0N7ejqamJgQHB9OTRmdnJ1UrREVFwcnJCcXFxXB3d4e7u7teEgd5HDmpMBgMXLlyBUeOHMHrr79OW0xpaWnYt28fjZQnvfXo6Ggaj+Tt7U3XiZuamrB//36aGJKRkYHKykq9xR2NRqMXZU8gFoshlUphZWUFNzc3BAQEQKPRoKurC93d3Whvb6e5cHONvTGV2Y2ZmZlRpMvj8Sa9qZvCdwEYm014e3vjxIkT9GvvvfceGhoawOVysX37drzzzjv493//92mvVxdPBekaa2TOZrMRFBQEf39/alQ+XmI2k+HY+IqUwWBg4cKFCAsLw82bN/HFF1/QQZCxLYOp5GXjh2T79u2DRqOBtbU1VCoVHBwcsGTJEvD5fLquWVtbC3Nzc4SFheH+/ftTbtnNFDweD7GxsbCzs0NOTo7BrTyxWAyVSkVjZiwtLdHe3o66ujqDN4nR0VFcvXoVnZ2dSElJgZmZGaytrcFms2mOGNHSAoCXlxcGBgbQ2tpKFytkMhmteElqsW7aMllBJl7AwFjvjs/n0yq1oaEBVlZWGB4exsjICFUhFBUVYcGCBQB+aHuQniqD8UPGXFZWFi5cuIDMzEwolUrs2bMH/f39eOGFF7B582bk5eXh/PnzGBkZgUQigbe3N27evIn9+/cjKCgImZmZ6OjoQFlZGVatWkXdx8hQ0MLCYtrXkSgFdCEUCiGVSiESieDo6IglS5ZALBYjJiYG3d3d1Ix+puu1pqp0LSwsjCJdS0vLSU+lpvBdAIBnn30Whw4d0hvWkSp5aGgIe/bswdtvvz3ttY7HU0G6k73YZGuLkOGSJUtw584dfPHFFwbfsDNRJIx/7Pz58xEbG4uKiooJioTBwcEZrQEbIl2SL9bb24v79+/r/fyOjg50dHToyXCsra3h5eWF9PR0uhWlUqkQGRlJq87Zmk2TFNaAgACcPXvWYPQ8Afng6/Z2RSIRFAoFHBwcEBoaShMAiA+up6cn+vr6sHv3bnR2dlKdcVhYmF6iLrmpmpubo7OzExqNBlKplBIscfMiz7+uuTifz4eXlxeAMSImSgXSdhAKhTA3N0dvby/4fD6taDdu3DhBWkaInZCwRqNBd3c39Qs+d+4cNZj5+OOPsXz5ciQnJyMwMBCXLl1CYmIiKioqcPDgQdjb2yM1NRWNjY3Ytm0bnJ2d4eTkRFtBdnZ2sLe3R3BwMIRCIU3FINIqXS8EQ+jq6kJXVxcsLCyQlJQEMzMz7NixA2w2m74urq6uVE1CiJjE8EzlyWsK0p1JpTvVoHsyGOO7QLB69Wq89957el8jhA0AmZmZRseB6eKpIN2pmtzm5ubYtGkTKioqsGvXrikfS2J5jAEhXaJI6O7uxjfffGPQ3Wkmfdrxj7W2toZcLodWqzV6SCYQCBAbG0tNbIhA3draGkqlEmq1GiEhIXpkR6rO6Xrabm5uiI+PR0lJyayrZt3VXwKpVIrExEQEBgaivb0dAoEAzzzzDK3Wr1y5gry8PCxZsgTh4eGwsrLSU6bo9uaINM7e3h59fX305tjS0oLGxkZ4enqCyWSitrYWVVVVCAkJoT63wNhNhbwPdKWIZICnS2qkBUHIOisrCz4+PnjhhRcwPDyM6upqveNpb28v9u7dC1dXV2RkZCAtLQ0ajQZVVVXw8PDA8uXL0dXVhT//+c949tln0dfXh507d9K2TGtrq94HXSAQUI2rj48PJBIJNYknZNzU1KRHlr6+voiKisLZs2f15E66kkIulwupVAqJRAKpVAonJydYWFigr6+PtidIX560TuaaGAGMVbrGkDePx5vVEpExvgvA2FKLWq2e4Gexb98+6kN869YtbNq0acbX8FSQrqE7o729PeLj42Fubo4dO3YYNSAbGBigwYvTgcfjQS6XIz4+HsePH5/SwUzXkWo6kEqXCMaJXZ8xQzIOh4OIiAh4enoiPz+fGnQQkIpYl+yMJWKZTIaUlBT09fXp5Z3NFeQUEhERgaKiIuzbt4+SGvF+JeYqIpEIvb29uHXrFjo7O+Ht7U2TIAjpAWOvPTkSWlhYoL+/H9XV1XBxcdEjBo1GgydPniA4OBjAGIGWl5fD398fAFBQUICAgACqA2ez2XrrvCTUkfy7DQ0NEIvFuHbtGmxsbChxC4XCCVUZ8e8dHh5GfX09wsPDAYwtmhQXFyMzMxM5OTl6lp2G0N3djYcPH+pF7VhYWEChUEChUCAyMhIymQwjIyNoa2uDXC5HW1vbtIPOoaGhCRtlTCaTkrCVlRXs7OxoGoajoyPKysrQ2dmJ5ubmWeuIiSvbdJjKS3cqGOO7AACVlZUGY8BIistc8FSQru6dkXgFkLypFStWoKenx+ifY4wiISoqCg4ODnTDyJQYHR2Fra0tFixYgJqaGjQ0NEw78NIlrqtXr+Kzzz4z2uXJEBETJym1Wo0lS5bQSX5xcfEEIp8LVCoVUlJSUFdXh+3bt084hRjyfrW0tKRE3Nvbi/r6elhYWMDS0pK2kkZHR/V0vRYWFjAzMwOLxYKjoyNycnIQFBQEBwcH2Nvb05vi6OgoTSp2c3NDeHg4NBoNPXlotVraswWgR75ffPEFmpuboVAoEB0dDUtLS3R3d0OpVOLtt9/GzZs3cfHiRTQ2NmJkZAQrV66EnZ0dvvrqK1RXV2Pz5s0QCATo6+tDf38/3VCcDfr7++lgEhgjssjISPj7++Phw4cwMzPD2rVr6cq5blU8VZWp1WrR3Nys53cgFAqxcuVKDA0NoaurC/Pnz6fubKQibmtrQ0tLi8k26IAx0p1NasTfA54K0iU78TExMRCJRMjLy6OiajIcM0ZnN9UgjeSd+fr64vz58zh+/Dhef/11k/0OZEhmY2ODlpYWLFq0CCEhIWhpaUFNTQ1qamqocbgunJyckJSUhKqqKoPENRt0dnaiu7sb1tbWsLS0xNGjR1FRUQGlUkl35oVCIbq6uvQqYmOrXz6fj8TERAiFQhw6dGjKYcZ49Pb24tGjR3j06BH9GtmOc3V1RUBAgF7bgfRfHRwc0NnZSRcwdPW1APD48WO4urqipaUFhw8fxmuvvQZra2sac8/n86n0TFfzOzo6ivr6enR0dGBgYAAjIyOYN28erl+/jgMHDkAmk2H16tUIDAykvWpi/nPv3j0MDw9j48aNsLa2RnV1Nfbv3z+rXuVkUKlUyMjIwIMHD/DRRx/pETmLxYJMJoNSqdTTYLe2tur1iQ0pThgMBhYvXoygoCAcO3ZswpKMQCCgoaIODg7w8vICi8WiEjZSEc/GDxcYI93Zfu/fGk8F6YrFYjz//PM4deqU3ocR+EE2ZgwZkWGKLhgMBnx9fREWFobbt29TRYIpoTsku3fvHg2/1NXDenp6Ij4+HlwuF01NTWhvb4ejoyMGBgbw7bffzuqoNRlcXV2RkJAwQe0w3tJP11t18eLFsLKympKIWSwWQkND4efnp+ftMFf09fWhvr4eCxcuRGVlJY4dOwZvb28EBgbCysqKbo2R/3dycoJWq6UDNjabDVdXV/T390MikeC9994Dg8GgrmFEM0xaROQIfPjwYfT29mLVqlX46U9/im+++QbPPfcc2tvb6YCmqakJn3zyCXx9fakmfHR0LNpeq9XixRdfhLm5Oa0IPT09qdfAXHwFuFwuEhMTYWtri2+//dbgwgExV9dtjZGtL6VSCRcXF0RERFDzckLC/f39iI2NRV1dHbZu3Wqwr0+GcLogySwikQhyuRzz58+HmZkZenp66ICPxWLRNs50v58p3/N/TTAAzM3q/e8AXC4Xv/jFLwz+3bJly3D58uUJbkeGYGlpiZUrV9KWwbx58xAXF4cnT57g7NmzE4h78+bN+Oyzz4y6xtdff31CGjDpi2m1WqPVBDweD6mpqXBwcEB9fT34fD64XC5d1SUV8Ww0kzY2NkhJScHAwACOHTs2q76tUCiESqWiZGxlZUU9dlUqFYqLi5Gfn2+yGxeTyURoaCj8/f0N9rEtLCwQGRmJwMBAujZsKJ6efB0YI56+vj7asyVfA8ZaCQ8fPsShQ4fo62VnZ4f169dDIBDQFI3KysoJP18sFuPnP/85DaYkP/vIkSO4dOkSrTpJhhnxGtCtOo3plXp4eCAuLg4XLlyYUTT4VCCyxJCQENraaW9v17u21tbWGWu/iWG/QqFAaGgodSfTHdi1traiublZ7z39yiuv4KWXXkJRUZFJfr+/Jp6KSpck2hrKrRqv1Z0KpCq2s7NDQkICent7J1UkABNz0qYCeezQ0BAsLCzoFlV9fb1R9nS6yw0FBQU4ePCg3rRdJpNRz4Tk5GSwWCw0NjbSirOurm7S67SwsEBsbCyUSiVyc3P1ptgzRVdXF0pKSmgVK5FIkJmZCYFAgPv378PW1habN29Gd3c3vbba2tpZ9eecnZ2RnJxMK3JDRN7f34/jx4/j+PHjSEhIwNKlS+m0nQzFxhuTA/q+D2Thglh/jl9trq+vx8mTJ7FixQoAY4sUhw4d0uthcjgcrFmzBlqtlsYGAWPDOrIoQTb/dE86UqmUtk6ioqLowoludhkhf6FQiIyMDAwNDekpHkwBPp+PyMhIlJSUYNeuXTTSitwgvLy8IJFI9AZwtbW1aGpqmrI3PTQ0BBsbG4SFhSE/Px8lJSV0YEc27ORyOQQCAQYHBykRC4XCGbWl/p7wVJAuABokOR6GWgaTQSAQUOnSiRMnpq2OyYfXGNIlBjl2dnbUzcuYIRkwljAcGxs7qUxLd1WXVDZMJhO2trZQqVTw8/NDamoqzcIiZNfQ0IBFixZh8eLFKCgoQHZ29pwzrgi4XC5iYmLg5OSEnJycCZUfMdZRqVS0DdDd3a3XmpiMiK2srJCSkgIWi4V9+/YZ3QPNy8uDSqXC/PnzcfHiRWRnZyMwMBACgQAdHR1ISEig67MkIcHR0ZGa/giFQqxevRpSqRQFBQWU5AUCAZKSklBdXY3bt28jPj4eb731Fs6cOYNr166ht7cXmZmZUCgUaG1tBYvFglgsxs2bN5GTkzPp9RKT8ubmZr3IKeLPQHTOZHOPx+Ph8uXL9N80BTgcDuLj46FQKCa0KQz110nRolQqER4eTn0RiI1oXV0d6uvraaWfmZmJ/v5+vXmEoYEdMKbvtrW1pQGl/9de+Btj06ZNdEtJF8HBwRgaGtLLeRoPc3NzuuZpYWExYdd6MqxevRonTpyYtqHPZDKxfv16tLS04MGDB3j8+LFRx2uFQoHk5GR0dHTgxIkTc9ZBEjd/lUoFT09PODk5YWBgAKWlpaiqqqJqibkc/YlPcHh4OC5evIhr164ZTeSEiMkR29raGj09PXSQ2NDQAG9vb7qaOb5/bwx4PB7+4R/+ASMjI/jkk09o39Tc3BwpKSlYuHAhNBoNtmzZgrCwMISGhmLnzp2oqKiASqXCihUrIJVK0dHRgd7eXjQ0NEClUkEikeDzzz9HXV0dre5JSkZTUxPs7OzQ0dGB27dvIzQ0FDU1NdixY8esFQoEcrkcmZmZqK+vR3l5OU1rsLa2Rm9vL62GjVmcGI/58+cjKSkJly9fxpUrV2Z9Q2az2dRGlNiBCgQCmJub4+7du7h165bBIfF4uLm5ITk5GSdOnMBrr71mUhOavyaeGtJdv349NefWxcKFC2FpaYkLFy5M+Ds2m43g4GD4+fnh/PnzuHXrFl5//XWj+7TLly9HUVHRlBpdYrdoZmYGGxsbyOVy8Pl8tLe3UzKpqanR69UJBAIkJibCysoKOTk5U/78mUIqlSIlJQWDg4M4fvw4enp66AdCpVLR55AcDwnZGUMOKpUKqampqKmpwcmTJ01iME20ur6+vnB3d8fw8LBetV5bWzvjab+9vT02bdqE+/fvY+/evfDz80NERAQKCgpQVVWF119/HVqtFkKhEIWFhcjOzqbfy+Fw8Oyzz8LHxwdXr15FV1cXYmJiUFFRASaTSaPLycBJV3JH0NLSgs8++2xOnrgcDgexsbFwcHDA4cOHDTrX8fl8ujihVCrp4oSuO1xzc/OELTMLCwukpqbCwsIChw8fNqnUy9raGsuWLUNHRwfVM5MWhbm5+QTlRE9PD7hcLlJTUyGXy7Fx40ajLBz/nvHUkO7q1avh6Og44esLFiyAUqnEqVOn6Nd0FQl37tzBxYsXaXVnaOA1GVJTU1FcXIwnT55M+DvdIZmhTS+RSAS1Wk3JjvTqiNdAfn7+jM2Rp4KFhQViYmKgVquRm5trcNBDQMItybWRZIbxREw+rHw+H0lJSRAIBMjOzjZpr00kEiEtLQ1DQ0PIzc1FV1cXJWJSFZOKWNdYZzoiDgsLQ1paGpqbm/Ho0SPk5eXRm4Srqys2bNgAjUaDDz74YILOm8FgIC4ujoZFVlVV4YsvvqA+DDKZDD4+Pli8eDFteT1+/BgqlQocDgfbtm2bkME3E7i6uiIxMRFXr17FpUuXZlSB6i5OKJVK2NjYQKPR0D4sj8fDwoULcfr0ady9e3fW1zgeuhKz7Oxsg+52JC6KkLCLiwtN47h37x4+/PBDnD59+kfbyyV4anq6xto7uri4IC4uDlVVVQbXgomRjTGriIY8FciQzMzMDHV1dZMOycgq7J07d+iRPCoqCjU1NWhsbERwcDAiIyNp1VRdXT0rVQKTyaRv9sLCQhraORUMGUhzOBzY2dlBpVJhyZIldDWZ+BQUFhaiqKhozm5VBGw2G1FRUViwYMGEzSxDSxN8Pp+SsL+//5REzOVyYWVlhd7eXojFYty+fVuvKg8ODqYGNmvXrsXOnTv1nvfR0VHk5+fDy8uLeg1HRkaisLAQXC4XISEhEIvFqKurw7x587B9+3YkJCSAx+OhuLgYqamp1DdW9/g/XeVraWmJtLQ0sNlsfPnll7OqQMcvTpDnY/78+YiLiwObzcbQ0BB14dONc5pt20ksFmP58uWor6+fVGIGjD2vxAv44cOHsLS0hFarxS9/+Ut0d3fD398fzc3NegXUjxFPTaWbmJhI3d51YWtri7CwMFy4cAEJCQkYGBhAXl7epJXQmjVrcPToUaPe0BEREWhvb8fdu3ep3aKVlRUaGxtRX19vVAXi7OyMxMREVFZW4vTp03o3AQaDQVUJhFCIKqG6upoewyb7MMybNw+JiYl49OgRzp49axLrPQI3NzckJCSgqqoKra2tNPadVE2kbWLo+DodPDw8EBsbi2vXruHSpUuzJnJdIlYqlRCJRNTspri4GJcvX8aLL74INpuNTz75BD09PQgMDMSKFSuQlZWF9vZ2vPDCC6ioqMCePXv0nueQkBBkZmYiNzcXarUa3t7e9D1TVFSEwcFBpKen49SpU+Dz+QgKCsJ3332HK1euANDXw6pUKigUCnraIbI/XSvMwMBAhIaGUg9dU4HBYCAoKAiLFy9GTk4OJWNDfVjy3tNtT0z1nmIwGFiyZAn8/Pxw5MgRo1Ux7u7uSEpKQnZ2NjZv3mwSI52/Jzw1pBsdHU136HWhUqnw/PPPo7m52ShFwsqVK3Hu3DmjjjDBwcFUVyiRSKh3rDEVgUQiQXJyMkZHR5Gbm2v0do3uMIz0YBkMBurr6ynRDQ0NISkpCRqNBrm5uSZdl5RKpUhNTUV/fz+OHTs24eZEAjHJ9clkMgwNDelVnM3NzQZvSFKpFGlpaeju7qb9ZlNed0ZGBq2SSS/RxsYGUqkUnZ2dKCgooNt9O3fuxOjoKBYuXIjnnnsO5eXl+OMf/4j+/n6IxWK8+eabqKiowO7duyGVSvH8889DKBTC0tKS+voCP+h7L1y4MKUbG3ksOV7r6px5PB5aW1tRUFCAyspKkxjLAGO67GXLlqG6uhonT56cVoWju8FGWhSTpYjIZDIsW7YMT548walTp4z6TJiZmSE9PR0SiQQbNmzA2bNnTfJ7/r3hqSHd4OBgREdH0z+bm5sjMjIS8+bNA5PJxKeffmrUz0lPT8fNmzf1jtaTISIiAm5ubrh9+zbu3r1rFEno9laPHTtmsB88U5CqxMnJCQEBARCJRGhvb0dFRQUl4vFOUzOFmZkZli5dOqkEbCqQNGFS1dnY2GBwcJCScFNTE3x8fODs7Izs7Ow56YTHg8PhYOnSpXBxcUFWVpbB1zU0NBQZGRkYGBgAh8NBc3Mzla/V1tZCKBQiKSkJbW1t2LNnD1asWAGlUolPPvkE/v7+mD9/Po4ePYqamhpYW1vjpz/9KTgcDkpKSrBw4ULU1NRM8G6eDiwWC9HR0XBzc8Pp06dpzLtSqdQzJSL/zWSRhcViITIyEu7u7jSUdbYgW5O6AzsbGxuw2WzcunULDx48oAOxqeDh4YHExEQcOXIEb7zxxlNX3eriqSFdPz8/JCYmgsViITg4GP7+/rhw4QK1X/v888+N+jnx8fGoqKiYsEuuC6FQCIVCASaTSe3vSEYZ+RBUV1ejqamJVjzkugICAlBQUIBbt26ZTBPLZDIRGBiI4OBgFBYW4ubNmzSBlwzrbG1tacVJJv+TVZy6YDAY8Pf3R1hY2IwlYFPB3NwcSqUSgYGBWLBgAQYHB+nRmlzfbDacdEHaFMYMnJYvX46goCAUFRXh8OHDsLS01GtNyOVyiEQiaqZz9epVKBSKCS2QVatWwcfHB3/84x+xfPlyDA4OYsuWLTOSNzk5OSE1NRW3b9/G+fPnDZK17go2GSaSFeypVB0qlYr6wBYUFJisBw+MbeYtW7YMDx48wJ07d+gwVqlUUmN93aWOzs5OmJubIz09HSKRCOvXr0dhYaHJrufvFU8N6Xp4eODXv/41wsPDcefOHRQVFdHj0kzWdSMiItDW1mbQnFh3SFZfXz9BvE2O1mq1Wq+i6+/vh52dHe7du4cTJ06YLLkBGBsMJiUl4fHjxzhz5syUPTZScZKjv42NDfr7+ykRV1dX67U51Go1UlJSTCoBI7C1tUV6ejqam5uRl5eHvr4++vwSsiOhkOT6ampqjGrDiMVipKWlob+/H7m5uUadQFgsFjZs2ABHR0fs3r1bb9BE4OHhQSPUh4eH0dnZiY6ODnqTEIlESE5ORl5eHtzd3SGTybBlyxajp+0WFhZITk6GQCDAkSNHZiyF01V1KBQKaoVZW1uLxsZGODs7QyQS4fvvvzfpYgGLxaKniUOHDk3qc6t7o3BxcYFarcbo6Cju3r2L3//+9zhz5sysPHJ/bHhqSJeYjpw5c2bCFHgmpBsUFASNRkNXMQHQ9FayemjskEyhUFC5U319PWxsbCAWi6ngnwzDZuNxQHrCIyMjOHbs2KydqYhDFyFisVhMo+u1Wq3ecMUUMDc3R1xcHBQKBbKysqbtsRu6vt7eXkp0uqoENptNj83Z2dkzbt2Ym5tTd7GtW7fqaV8ZDAbeeustSKVSlJSUwNXVFUwmEw8fPqSr5sS9jMFggMlk4uzZs7hy5YpRBLdw4UJERkZOmaA8G/D5fCxevBjBwcHo6emhvhK6cUlzOVGQyvnOnTuTVuXjYWFhgfT0dFhZWeEXv/gFBgcHsWjRIly6dOlHr0wwBk8N6RLTEUN4/fXXjW4v6C5TMBgMmklGzD2MGQgIhUIkJCRAKBQiNzd3wnKD7gqsWq2mJteEiMcvS+jC3NwcS5cuhaOjI3Jzc03SEyZgsVgICwuDn58f7t27h9HRUTr17+zs1FvmmOkwR7dNQVogs/2g6x79VSoVPfYLhUI8fPgQp06dmrXtn5WVFTZv3ozR0VFs374dra2tUCqVeP755yGVSnH06FFcuHCBpnO4urrSsEzgB4+N4uJi1NTU0BsFqdjJjYJsh4nFYpqHZuqob2KOZGZmhsOHD9PXjNzIdJcmSI+d/Ddd64nNZiMuLg5qtRrff/+9Uf4hAODt7Y24uDj8+c9/xptvvmnSU9+PBU8N6YrFYvzkJz8x+HcbN27E119/bZRkiixT3LlzBzKZDP39/aipqTHqw8DhcGillZ+fr6cjnQ4ikYgSMVmWaGlpoSRcW1sLX19fhISE4MKFC7h+/brJesLA2O8dHx9P+4jjN9DI0ZBcn1AonNCDnWzfn1T8tbW1Jm9TWFtbU1+J4uJiOv23trampjoz9fu1s7OjWWhlZWUQCASws7OjZuvjn/f09HQsWbIw+d8GAAAgAElEQVQEFy9eRFBQEB48eIC9e/fqPY7H4+n1iCUSCczMzMDlcnHp0iXcvHlzxmu6U4FE8pw8eVLPoH4ykKUJ3WEYMa8hREyGsY6OjkhLS6P9bGOu2cLCAhkZGRAIBFi7du2P0h3MVHhqSJfs1BvCmjVrkJWVZdSHztPTExEREbhx4wZKSkqMklvpVnFXrlzB5cuX5zygGO+l6+rqiqGhIZSVlaGyspJqOedqkUgkYH19fTh27NiMKlhDN4rW1lZ6o2hra0NkZCSkUimysrJM2q9jsVgIDw+Ht7c3cnNzDbZAdE8URH6lG0U0VcUeGhqKlJQUAGMr0XZ2dvjoo48mVHTz58/Hxo0bce3aNbi5uaG/vx9btmyZcvquVquRnp6OsrIyVFRU0KUTiUSi12OfzdHf2toamZmZ6O7uRm5u7pwqZ5IBSIjY1tYWAoEAWq0WFy9exOPHj2kSxlTw9vZGfHw89u/fj7fffvt/ZXWri6eGdBkMBt59912Df/fMM8/g/PnzU37oyZ2ex+PB1tYWIpEIMpkMg4ODesf+8cdWstzw5MkTnD592qRVnFgsRkpKCrRaLXJzc9HZ2Qm5XE6JRKFQAADtz1VXV6OxsdEowjczM0NsbCzs7e2Rk5NjEpkWEfyrVCoEBATA3t4evb29qKys1COSuS5puLi4IDk5GXfv3kVhYeGMTGPGV+zEYYxcX29vL+Li4tDR0YFz587hueeeg4ODA+rq6vDNN9/oDcUsLS3x85//HBqNBp2dnVAoFFMOzszMzJCQkACZTIbDhw8bPJLrHv3HEzG5RkNEzGAwqPXnZGu2c8G8efOQkpKCy5cvo6GhgQ5kiYtYfX39BK8OHo+HjIwM8Hg8vPjii3Qx5H87nhrSBYBf/OIXBlN3U1JSUFxcbFBbSqRVVlZWaG5uRn19vR5pWVhY0N4r6c91dXXRXl9vby+ysrJMGh1CNLHOzs7Izc2dMpyQXD8hEVtbWwwPD+tVcy0tLXpi/UWLFmHJkiV/kTYFiRAvKyvDmTNnMDw8TAX1RL7GZrOpac1MKnaBQIDU1FSw2WxkZWWZbOnD2toa9vb2CAkJgZ2dHXp7e+nmVX19PZycnBAUFER7tfX19ejv70dQUBDkcjkYDAZqa2uRlZU16Wvl6emJ2NhYnD9/Xm9IawzG92ClUqkeEff39yMqKgqVlZU4efKkSZNNiPsan8+f4BFMQFbEyfU5OzvDysoKGo0GFy5cwK9//Wtcv37dJNrbXbt2ITU1FU1NTfD29jb4mI8//hjJycno6+vD+vXrcfPmTQDA2rVr8atf/QoA8P777+Prr7+e8/XMBk8V6W7evBlCoXDC12NiYlBTU6OXmEqGZFKplA7JjDn28Hg8JCUlwdHRETU1NRAIBLC0tKRZZkSRMJs3GIPBQEBAAEJDQ+ekiTUzM6OVklqtptKrrq4uqFQqVFRUIDc316RVOTG9sbS0RHZ29pSDFeL1S25khrbqdJ3NdNMhTpw4ofc6mgKkctbVxZLWCXkeBQIBWCwWzU0j6OrqwqlTp3Djxg2DFbyVlRXS09MxODiInJwck/nc8ng8qNVqhIWFQalU0tdXV5Wge7OdDRYsWICEhAScO3dOz893uuvKzMyEpaUl/uM//gNsNhuLFi3Cjh07TJJiER4ejp6eHnz99dcGSTcpKQk/+9nPkJycjKCgIHz88ccIDg6GSCTCtWvXEBAQgNHRUVy/fh2LFi36m4RbPlWku3HjRtjY2Ez4+pIlS2h0NzDWx7S1tZ3RkIzFYiEkJASLFi3CuXPncPv2bb3qUSKRQK1W02qOw+FQEqmurkZ9ff2Ux2AnJyckJyfTCtGUGzkCgQBpaWkQiUSoqqqCWCzWUySQ1sls1m6ZTCZ9XuaSe0a26kjFTpzNuru7IZfL8ejRI+Tm5prUP8LS0pJO948ePTrtB1AsFtPrs7e3B4/HQ1NTk558jbyXGAwGQkJCEBAQYDC4ca6wt7dHeno6bbFotVqqcyY3CqlUSq0cZ0LEPB6PGuscOXLE6PfFwoULERMTg7179+Kdd96Zs1fwZHBwcEB2drZB0v3iiy9w9uxZ7N+/HwDw4MEDREVF0f82bdpk8HF/TTw1LmPA5E5jREcpFAqpX2xlZaXR02xPT0/ExMTg7t27+OyzzyYc30ZHR9HS0oKWlhZ6lCEeCWq1GsHBwXpZaITompubqaAeAL755huTtimIBMzX1xd5eXkT1BRWVlZQqVRwcHBAWFgYdeMnJFxTUzNlNUzich48eDBpXI6x0Gg09N8EfiBEkrAgFouxadMmOlHXNdSZaTXHYDAQGBiIkJAQGhFjDNra2tDW1kZ1tMQrQaVSwdXVFdHR0TA3N0dvby+kUikqKyuxe/duk3pIkMBJmUyGb775Rk8D3N/fj9LSUpSWltKv6RKxp6fntPIwb29vLF26FKdOnTK4IGQIfD4fGRkZ4HK5SE5OnnH7xJRQKpV6q941NTX09zf09b8FnirSnaw61Gq1cHZ2pts54zfJJoNSqURycjJaW1tn/OEhRjh1dXW4fPkyAP2Ntfj4eBoF8+DBAxQXF5t0JdPd3R1xcXG4ffs2PvvsM4NVB4mk0ZUUkUHYggULEBMTAzMzM1rNkWqJx+MhOTkZbDZ7RnE5xoC4XgUFBRkkRN3WSWxsLGxsbDAwMKCnIZ5qGcHOzg7p6emoqqrC1q1b51Q561oR3r59mxqLu7i44PLly+Dz+XjhhRdgZmZG20/kOZzNSYY4u128eHFa8xyCyYiYzAHc3d0hlUqh0WhgaWmJ7u5ufP/99/TmNx38/PywdOlSfPXVV3jvvff+YtXt04SninTHV2VkyMRmj/2a4eHh1B+B+MUaOm5ZWVkhISEBAoEAWVlZBl35Z4OhoSFUVlbCxsYGEokEJ06cQElJCR0y+fv7QyQS0dVSUnHOpA9oY2OD1NRU9Pb2Ys+ePTNeYtAlEeAHe0m1Wg0/Pz+sWrUKlpaWePLkCe7duwcej4euri6TfNhUKhWVUhnKggPGbqzl5eV603ky7FQqlfD29oZEIqFba7rJHHFxcVCpVDhy5IjJXlMCV1dXGm3z2Wef6b2nxsv/4uPjweVyqVfydKoOUvVzOJxZvabjMd5T18/PD5GRkbh69Sq0Wi3Cw8MhlUoxODio1yPWrYj5fD4yMzPBZrORmJhIT3h/a9TW1kKtVtM/q1QqWtFHRUXpff1v5WL2VPV04+LiEBAQAAaDAblcTrOsdIdkHA6HkpxarYaNjQ16e3tRXV1N866cnZ2Rl5dn8oGNk5MTkpKSUFFRgdOnT09a7ZC4azJo4vF4aG5u1hvUjf+AmpubIyYmxqQSMF24uroiISGB+lrY2NjoDcJIZU+uUdfsZzrweDwkJiZCJBLh6NGjRp9EpgKfz6cVsbu7O+RyOVpbW3Hv3j16MzOFRSKfz0daWhpYLBaOHDli9M8kNzNdrwQOh6PXI66trYWnpyciIyONXnKYCaysrLBs2TJ0dXUZHKwSUyLdHjGfz4dWqwWLxcKBAwfw2muvmVQtkZCQgI8//hgsFgs7d+7Ehx9+qPf3f/jDH5CQkAAnJydUV1dDJpPRbESNRoPKykpIpVKcPXsWv/vd7/DJJ58gKCgIIpEI169fh7+/PwDgxo0bWLRokUlPacbiqSLdsLAwLFu2DHK5HH19fUYPyfh8PqKiorBw4UL09vbSYyOphmtqauY02CJ9WyaTiZycnBn3bUmlRIiYmJmTQZ1AIICHh8dfRAImEomQmppKvXkn64OTm5mujy7ROE927NdVa5jac4Bce3p6Ovr6+pCbmwsWi6W3zEG26nTldcaeKnSv3VTG4iTqh9z43d3dodVqUVpaShdiSJLuXEH8GGbircHn87Fy5UoIhULs378fdnZ2cHZ2RmhoqElaY0wmE48ePUJcXBxqampw9epVrF69Wu+5/dOf/oSoqChIpVL09PSguLgY+/btAwD813/9FwQCAbZs2YLExET09fXhpZdeoj3ml156Cb/85S8BAL/97W/x5ZdfzvmaZ4OninRPnDgBtVqNx48f4+7du0alP7i4uCAxMRHl5eU4c+YMvduLxWJaDZNsq4aGBkrExoQ1crlcREdHY968eTh+/LhJjWNYLBbtpw0PD0Or1WJ4eFhvUDcXyZBuXE5ubu6sxPa6x361Wq1n9tPb2wsfHx9UVlYiPz/fpKoEJpOJ8PBw+Pj4ICcnZ8prn2yrTrf/Ov7GLZPJkJGRgfr6euTl5Zn02onqYdGiRcjOzkZlZSU1rSfm4Uwmk0aaEyI2ttoUiURYvnw5mpqacPz4caMJfNGiRYiOjsaOHTvw//7f/zPp/IEgODgY//qv/4rExEQAoMtOH3zwgcHHX7hwAf/yL/9Cgyq7u7shEAhMfl2mxlNFuosXL0ZCQgLCwsLg7u4OLpeLlpYWNDY24smTJ6ioqKAfEJlMhqSkJAwPDxvl0sVkMiGXyykRk4ywmpoaVFVVobq6mlZyugsIRUVFuHr1qkmrT4FAgOTkZFhYWOhpYrlcrl7rhOhzdSt2YxQbxIf2+vXrJs09A35II5bL5ejs7ISZmdmEHvZcUnIdHR2RmpqKe/fuoaCgYMa9ZqJIIDdbYuXZ3NyMuro6mu48V/NvQ7C1tUVmZua0aQvTpYeQpQ7d312XzI8ePWq0Cb1AIMCyZcug1WrxwgsvmDSscjyeeeYZJCYm4pVXXgEwtr4fFBSEn/3sZxMea29vj0uXLkGlUtH35/DwMG7dukUDRY8cOfIXu9a54Kki3fEQi8WIjIxEZGQkgoKC4OTkBK1WC0tLS5iZmSErKwvXr1+fNanokpy9vT0kEgk0Gg2EQiFqamqQm5trUt9SNpuNsLAw+Pj4GJSAGQJx5CIkYm1tPamjGYnL6enpwbFjx0wqdQJAo84LCwtx48YN+vXpzH5IBNFUIIoKPp+Po0ePmlR6R7w1YmNj0dnZCQaDQU8+5PrmcuwnfrTz58/HoUOHJrjSGfszxuucAaC+vh4dHR3w8PBAWVkZ8vPzja6KAwMDERkZia1bt+Lf/u3f/iLVrS5mQrr/9E//BJVKhTfeeIN+TaFQoK6uDk5OTjh9+jRiYmJMvg5tCjzVpDsey5Ytw/vvv48rV66AxWLB398ftra26O7uRmNjI2pqalBaWjqr5rpIJEJSUhLMzc1x7949WFlZQa1Wg8/nUwKZbAhmDIgE7NatW7hw4cKc1AIk/l2X5JhMJjgcDs6ePYsbN26Y1JSEGJY3NTXhxIkT027CMRgMSKVSerMgWVyTrQ4HBARgyZIlJo8NB/TJXNdYnGzV6fpgMBgM2oIav1U3GRwcHJCWlobbt2/jwoULJiU2oun18PBAXV0dhEIh9Ukgz6Mhrw6BQIDly5dDo9Hg+eefN/kAbzLMpL1w48YNbN68eVK3sj179iA7OxvffffdX+6CZ4n/VaSrUCjQ1tam96En5BsdHY3w8HB4enpSomxqakJlZSXKy8snHciRvu38+fNx7NixCX1bQ9tqbDYb9fX1ev3hyT5sMpkMqamp6O7u/otUnz4+PoiOjsa9e/fQ0dFBj9TkuKpLIDMlBC6XSz1Xjx49Oq1h+VQYvzpMpv08Hg+NjY3Iz89HdXW1SUmLVObGDvkm26rTXeYgJMflcpGUlASpVIpDhw6ZtDIHALlcjmXLltFEEUL+xCeBvM5yuRwjIyNUDjY4OAhXV1d8/vnn+M1vfmPStth0yoSXXnoJO3bswMOHDzE8PAyxWIzExESUlJTo+Sbs2rULmzZtgpOTE/1ea2tr9PX1YWhoCBKJBEVFRcjIyDBpcrKp8L+KdI0Fn89HREQEIiMjERISgnnz5gEAmpqa0NDQgPLyctTV1SEmJgaurq64dOkS1TgaA3IU1O0PkyEYIeK+vj7ExsZCpVIhJyfHqKDMmcDW1hZpaWlobW3FiRMnJvRRCYHoXiPJWCNEPJXtICFzU+aqEXA4HMTExMDZ2RmXLl2Cubm5ntlPXV0dvcbZDBOJsXh7ezuOHTs2J48KDoejF8opl8vBZrNhaWmJkpISFBYWzmqrbjKQQEtXV1d8//33RumRORwOfHx8aIVZXV2Njo4OfPrpp/j2229Ncl3GKBPWrVuHZ555Bm5ubmCxWNi9ezd+97vf4T//8z/x4osv0mSO8vJyfPXVV3jzzTfp94aEhGDbtm3QarVgMpn46KOPsHv3bpNcu6nxf6RrJBQKBWJiYhAeHo6oqCg4OTlhZGQExcXFqK6uRllZmdFZWIZANJFqtRo+Pj6QyWRobm5GSUkJqqqqZrwkMdW/Q8g8KytrRsMgco3k2E+WEHQHdVwuF+np6ejo6MDx48fnNBQzBGK2TnyLx5PVZGY/utK1ydpHTCYTERER8PLyQlZW1owSj42BpaUl9TS4ceMGPQEZ2qqbjaG5UqmkoZPEj8EYBAUFITw8HJ9++inef/99jI6Ogs/nU28JU8CY1sG6desQEBAwoYe7atWqvxvfBFPgqdpI+0uirq4Oe/fuxePHj2mVyOVyERMTg7CwMGRkZMDKygrt7e1oampCVVUVysrKjG4HDAwMQKPRwMPDA48fP8a2bdtgZmYGlUoFJycnRERE0CUJ3f6wsb1XBoMBPz8/hIeH4/z588jJyZnxh3pgYEBvkwkYOxWo1Wo4ODggNTUVAoGAEptSqTRaKz0drKyskJaWBo1GM+VKtqGNNUtLS72tP5KcqztMJGGWJSUl2Lp1q8nXWf39/REeHj6pplc3lHP8Vt34LLjxYLPZiI2NhYODA7799lujo3PIckR/fz8iIiL0BrM9PT0mbWUZ8j4ICgqa8LhnnnkGERERePToEd58803qkfD34ptgCvwf6c4Qly5dQkZGBv3z3bt38dFHHwEYqwRDQ0MRFRWFkJAQREREgMPhoLm5GQ0NDXjy5AmePHkygSiFQiGSk5NhZmaGAwcO0A/N4OAgSkpKqP+A7pKEr68vXbggx2myCTa+wtGNy9m2bZtJLR1J2KGrqysKCwtx6dIlOqj7/+19eVBTWfr2EwIIsiUsGhARZId2EFlkURJBUdwApRTbhWl7plt7LGtsHUH9VUl3V1vijDjdOk27laP2AnQPIGiDIoKOjtswgtqKIRERUcIODYIInu8Pv3sqgSQGiAJ6n6r3j3s5SU5C8t5z3/O8z+Pi4oLQ0FCq3yBvPaTpDjoj6+jt7Y3c3FwFDQFN0d7eDrFYDLFYTM8xYuaOjo6Ijo6GoaEhKisrQQiBg4ODUn7uQMDn8xEdHY3Gxka1n70yjQSGeWJra0tbxJmLBRNMA0hxcbFSKyFVCAwMRHBwMPbs2YOdO3dqtfwzUOTk5ODHH39EV1cXPvroIxw9ehRhYWFDPS2tgy0vvGZYWFggLCwMISEh8Pf3x4QJE9DV1QWZTAaZTAZPT0/Ktx1I27Guri6sra1p7XXs2LG0E0wmk8HR0RGmpqbIzs7Wur21plbnTKeV/CYYh8NRqL0q20VnbG3u3buHoqIirbabAsB7772HsLAwSmFjxH6YUCb20587i+DgYHh7eyMnJ0drBqImJiaUoujl5QUjIyM8fPgQFRUVGnXVMReBtrY2LFu2TOuSk6rQ38YHHR0dNDY2gsfjvXXlBTbpvmFwOBw4OTnh008/xZIlS8DlcvH8+XO0tLQo0NYGYsvOYPTo0QgNDYWXlxdaWlrA5XLR0tKiUHsdTK11sFbnzHMwSlfMxaKrq0vhYmFkZIQTJ05ofLusKczMzBAZGYnOzk6cPHlS5WchL/bDaBDIt1+r6kwUCASIiorC/fv3ce7cOa1fLBwdHTFv3jxcuXIF165d6yO4bmRkpNBVV1tbi9bWVgQFBSEoKAjJyclISkp6o6tbLpcLsViMsLAwVFdX4/r163j//fcVVOQEAgHd+IuKikJ8fDwCAwOHlW6CNsAm3SHC1q1bcfjwYchkMujp6cHPzw8zZsxAUFAQ3nvvPRgYGNBuusrKSlRUVGhUFmDscpgfPMMJZnjDTBgYGNBV3MOHDzW2zHFxcaGqUtrmlRoYGEAoFMLX15deLNra2hQuFoMRqeFwOAgKCoKPj0+/NAfkIc88YdgIL168oDKejIFjVlaW1pXMRo0ahblz58LMzAyZmZkqL8zyOr+MXx3T+XfgwAHk5eXhwoULWpvXq6hgGzZswB/+8AcYGhpi7NixqKurw4EDB7Bjxw709PTgwYMHaG1thZGREbq6utDd3Y3GxkasXbuW3v0NF90EbYBNusMUZmZmCt10jo6OePHiBWQyGaWtPXr0iCY9IyMjRERE0FLCq1aH8qs4ZpUEgG7a9FYKY6zOX7x4gZMnT2qka9EfWFpaIioqCnV1dQoNFMztNLMiNjExURAjqq6u1uhiZGNjg8jISEilUq2vPvX09Kg2AVPjZoTC5el1g4GrqyvmzJmDCxcu9EtGMTg4GAEBAdi9ezdycnLg4+ODiRMn4vPPPx/UfBhoQgUTiUS4evUqOjo6sGbNGohEIsTGxgIYOXoJ2gSbdEcQ7OzsaH14ypQp1ETRwMAAFhYWyMnJoYLpA4Guri7d5ZdXCgNeXgTy8vK0rgSmq6tLm0uys7M1Es9mqFbMSk5fXx8ymYwmOPlVu56eHsLDw2Fra4usrCyt17VHjRqFiIgImJubIzMzk97yyrMReov9MKFJCcnQ0JAyZbKysjRmFJibm2PRokVoampCbGysWnPTwaC/tdrJkydj3759mDZtGgA26bIYYfDy8sLx48dRV1eHjo4OuLu7w8TEBI2NjZDJZJS2NtD6raOjI+bPn4/q6mq0tLRg3LhxlBYnr4sw0F1+Z2dnREREDFpYR75bbfz48bC2tgYhBO3t7RAIBCguLkZBQYHWtQPc3d0RHh7eR0tCFYyNjRV0MExNTdWK/TAOwv1tb54+fTr8/f2RlJSE5OTkAb03TdEfvQQA2Lt3L2pqavDll18CGDkiNdoESxkbwZDJZIiMjFRYxYwePRrTpk2jtLXQ0FDo6OigtrYWMpkM9+/fx8OHD9XeXstbnR89erSPYaMyShiz0qyqqsLjx4/V8lyZ5+dyufjnP/856FIFoyfw5MkTXLt2jXp2jR49GtevX4eVlRXWrVtHWR1Mghto662xsTEWLlwIQggOHTqkcdNKW1sbysrKFPiwPB4P48ePh6OjI4RCIUaPHo2mpiaYm5vjt99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      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from __future__ import print_function\n",
    "\"\"\"\n",
    "A very simple 'animation' of a 3D plot\n",
    "\"\"\"\n",
    "from mpl_toolkits.mplot3d import axes3d\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import time\n",
    "\n",
    "def generate(X, Y, phi):\n",
    "    R = 1 - np.sqrt(X**2 + Y**2)\n",
    "    return np.cos(2 * np.pi * X + phi) * R\n",
    "\n",
    "plt.ion()\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "xs = np.linspace(-1, 1, 50)\n",
    "ys = np.linspace(-1, 1, 50)\n",
    "X, Y = np.meshgrid(xs, ys)\n",
    "Z = generate(X, Y, 0.0)\n",
    "\n",
    "wframe = None\n",
    "tstart = time.time()\n",
    "for phi in np.linspace(0, 360 / 2 / np.pi, 100):\n",
    "\n",
    "    oldcol = wframe\n",
    "\n",
    "    Z = generate(X, Y, phi)\n",
    "    wframe = ax.plot_wireframe(X, Y, Z, rstride=2, cstride=2)\n",
    "\n",
    "    # Remove old line collection before drawing\n",
    "    if oldcol is not None:\n",
    "        ax.collections.remove(oldcol)\n",
    "\n",
    "    plt.draw()\n",
    "\n",
    "print ('FPS: %f' % (100 / (time.time() - tstart)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}