{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Density based clustering explained"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Learn in this tutorial about the basics of density-based clustering and how common-nearest-neighbours\n",
    "clustering works compared to other methods."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pre-requirements"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:43:18.762282Z",
     "start_time": "2020-06-18T14:43:18.760198Z"
    }
   },
   "source": [
    "### Import dependencies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 303,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T15:42:53.332195Z",
     "start_time": "2020-06-19T15:42:53.318824Z"
    }
   },
   "outputs": [],
   "source": [
    "from collections import deque\n",
    "import sys\n",
    "\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx\n",
    "import numpy as np\n",
    "from scipy.integrate import quad\n",
    "from scipy import stats\n",
    "from scipy.spatial import cKDTree\n",
    "from sklearn import datasets\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook was created using Python 3.8."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T09:13:06.868094Z",
     "start_time": "2020-06-19T09:13:06.864014Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.8.3 (default, May 15 2020, 15:24:35) \n",
      "[GCC 8.3.0]\n"
     ]
    }
   ],
   "source": [
    "# Version information\n",
    "print(sys.version)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T09:13:06.941188Z",
     "start_time": "2020-06-19T09:13:06.929497Z"
    }
   },
   "outputs": [],
   "source": [
    "# Matplotlib configuration\n",
    "mpl.rc_file(\n",
    "    \"matplotlibrc\",\n",
    "    use_default_template=False\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Helper functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T10:29:23.385924Z",
     "start_time": "2020-06-19T10:29:23.361701Z"
    }
   },
   "outputs": [],
   "source": [
    "def gauss(x, sigma, mu):\n",
    "    \"\"\"Gaussian PDF\"\"\"\n",
    "    return (1 / (sigma * np.sqrt(2 * np.pi))\n",
    "            * np.exp(-1 / 2 * ((x - mu) / sigma)**2))\n",
    "    \n",
    "def multigauss(x, sigma, mu):\n",
    "    \"\"\"Multimodal gaussian PDF as linear combination of gaussian PDFs\"\"\"\n",
    "    assert len(sigma) == len(mu)\n",
    "    \n",
    "    out = np.zeros_like(x)\n",
    "    for s, m in zip(sigma, mu):\n",
    "        out += gauss(x, s, m)\n",
    "    return out / len(sigma)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T09:17:31.926780Z",
     "start_time": "2020-06-19T09:17:31.910095Z"
    }
   },
   "outputs": [],
   "source": [
    "def determine_cuts(x, a, cutoff):\n",
    "    \"\"\"Find points in space where density cutoff is crossed\n",
    "    \n",
    "    Args:\n",
    "       x: coordinate\n",
    "       a: density\n",
    "       cutoff: density cutoff\n",
    "    \n",
    "    Returns:\n",
    "       cuts: Array of coordinates where cutoff is crossed\n",
    "    \"\"\"\n",
    "    \n",
    "    cuts = []\n",
    "    dense = False  # Assume low density on left border\n",
    "    for index, value in enumerate(a[1:], 1):\n",
    "        if dense:\n",
    "            if value < cutoff:\n",
    "                dense = False\n",
    "                cuts.append((x[index] + x[index - 1]) / 2)        \n",
    "        else:\n",
    "            if value >= cutoff:\n",
    "                dense = True\n",
    "                cuts.append((x[index] + x[index - 1]) / 2)\n",
    "    \n",
    "    return np.asarray(cuts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T10:53:19.319490Z",
     "start_time": "2020-06-19T10:53:19.308287Z"
    }
   },
   "outputs": [],
   "source": [
    "class multigauss_distribution(stats.rv_continuous):\n",
    "    \"\"\"Draw samples from a multimodal gaussian distribution\"\"\"\n",
    "           \n",
    "    def __init__(self, sigma, mu, *args, **kwargs):\n",
    "        super().__init__(*args, **kwargs)\n",
    "        self._sigma = sigma\n",
    "        self._mu = mu\n",
    "\n",
    "    def _pdf(self, x):\n",
    "        return multigauss(x, sigma=self._sigma, mu=self._mu)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Density criteria"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Density-based clustering defines clusters as *dense* regions in space, separated by *sparse* regions. But what is dense and what is sparse? This is commonly defined by a threshold, that is a density criterion that determines the clustering. In the case where we have a density function defined on a continuous coordinate, the density criterion manifests itself as a density iso-surface. Regions in which the density is higher than a cutoff set as density criterion qualify as *dense*, and therefore represent a cluster. On the other hand, regions in which the density falls below the density criterion are considered *sparse* and do not constitute a part of a cluster. We can illustrate this on the example of a bimodal gaussian distribution in one dimension."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T09:17:34.735108Z",
     "start_time": "2020-06-19T09:17:34.501583Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xlimit = (-8, 8)\n",
    "x = np.linspace(*xlimit, 101)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, multigauss(x, sigma=[1, 1.5], mu=[-2, 2]))\n",
    "ax.set(**{\n",
    "    \"xlim\": xlimit,\n",
    "    \"xlabel\": \"$x$\",\n",
    "    \"ylabel\": \"probability density\"\n",
    "})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have two maxima in the distribution. An intuitive classification in clusters\n",
    "would separate the two peaks into two different clusters. In density based clustering we define the two clusters as the regions of high density where we have low density in between. By applying an iso-value cutoff on the density, we can specify what should be considered high or low density. In a dense region, the density is at least as high as the density criterion requires."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T09:33:25.448814Z",
     "start_time": "2020-06-19T09:33:25.100824Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "density_criterion = 0.1\n",
    "\n",
    "xlimit = (-8, 8)\n",
    "x = np.linspace(*xlimit, 1001)\n",
    "pdf = multigauss(x, sigma=[1, 1.5], mu=[-2, 2])\n",
    "cuts = determine_cuts(x, pdf, density_criterion)\n",
    "density_criterion_ = np.full_like(x, density_criterion)\n",
    "dense = np.maximum(pdf, density_criterion_)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, pdf)\n",
    "ax.plot(x, density_criterion_, linestyle=\"--\", color=\"k\")\n",
    "ax.fill_between(x, density_criterion_, dense)\n",
    "for cut in cuts:\n",
    "    ax.axvline(cut, color=\"gray\", alpha=0.5)\n",
    "\n",
    "ax.annotate(\n",
    "    \"density criterion\", (xlimit[0] * 0.975, density_criterion * 1.03),\n",
    "    fontsize=\"small\"\n",
    ")\n",
    "\n",
    "ax.annotate(\"0\", (cuts[0] * 1.2, 0))\n",
    "ax.annotate(\"1\", (cuts[1] * 2, 0))\n",
    "ax.annotate(\"0\", (cuts[2] * 0.2, 0))\n",
    "ax.annotate(\"2\", (cuts[3] * 0.8, 0))\n",
    "ax.annotate(\"0\", (cuts[3] * 1.2, 0))\n",
    "\n",
    "ax.annotate(\n",
    "    \"dense\",\n",
    "    xy=(2.2, multigauss(2.2, sigma=[1, 1.5], mu=[-2, 2])),\n",
    "    xytext=(cuts[3] * 1.2, density_criterion * 1.5),\n",
    "    arrowprops={\"arrowstyle\": \"->\"}\n",
    ")\n",
    "\n",
    "ax.annotate(\n",
    "    \"sparse\",\n",
    "    xy=(4, multigauss(4., sigma=[1, 1.5], mu=[-2, 2])),\n",
    "    xytext=(cuts[3] * 1.2, density_criterion * 1.2),\n",
    "    arrowprops={\"arrowstyle\": \"->\"}\n",
    ")\n",
    "\n",
    "ax.set(**{\n",
    "    \"xlim\": xlimit,\n",
    "    \"xlabel\": \"$x$\",\n",
    "    \"ylabel\": \"probability density\"\n",
    "})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T09:13:41.465492Z",
     "start_time": "2020-06-19T09:13:41.442533Z"
    }
   },
   "source": [
    "Choosing the density criterion in this way, defines the two clusters exactly as we would have expected. We can label the regions, i.e. we can assign a number to them, that denotes their cluster membership. We use 0 to indicate that a region is not part of any cluster and positive integers as cluster numbers. When we vary the density criterion, we can influence the outcome of the clustering by changing the definition of what is dense enough to be a cluster. This could leave us with both density maxima in one cluster, clusters of different broadness, or not cluster at all."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T09:59:56.990875Z",
     "start_time": "2020-06-19T09:59:56.428979Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yRbfb+7tK8faXxYr3S0SRKRz3W+itvK4D1WE6HcbukHh8/WEcLlR2OoxDAr9/Iwe5pyLreiTqi4U3hVykFN7hOs972+EqPP9+Xsj6f+HDfOzK5RxColgXzvst9Bau28c//95x7AjRnGyrzYFVr2ShsqEjJP2TOlh4U0hJKSNiBAVwJvJw2xWtpNqIJ97MCelrSNdICpM5UWwL5/0Wejvg5wohavr0QAXe21kS0tdoabfg0dcOccOdCMbCm0Kqoq4Dxs7I2EGxpd0SVvPR27usWPXyQVX+EHaYbFi9NhvWMNytjojUEc77LfR2sKA+rIrPkxWteOrtXFVeq6C8FS9+dEKV1yLlsfCmkAr3ZQR725Vbo3UIAJxnCtb8KxfldeqNQueXteDlzUzmRLEqUqYFAs5VQw4Xhsd85w6TDQ+/kgWLVb2Bi/9sO409x2tVez1SDgtvCqlIGkEBgF1Hw6Pw3na4CttyqlR/3Q1fFuN4SZPqr0tE2ou4gZKj4XFtyj8+zNdk7fOnNhyJmDPK1I2FN4VUpCXy8tp2lNYYNY2h2WjGX945pslrSwk8+VZuWJ3CJaLQi4T9FnrbfbRG8+tysgsbsHF3qSav3dBqxt83hu7CewoNFt4UMl1mG4or27QOI2Baj3o/884xtLRbNHv9khpjSJYuJKLwFU7Xt/irsc2sadydJhuefOuIZq8PAJv3luNQmK7wQv1j4U0hU1DeAnuYrRLij90azvPecaQKXx5Wf4pJb69vKUJJtbYj/0SknhMRsGNlf7S8LuefH53QZIpJb2vezoWZZykjBgtvCplIm9/tllfajIZW9XexbG234E//Pqr66/bH7pB47r3j3NWSKEZE4og34JxuooWcosaQLx3or6qGTvybG6FFDBbeFDKRWngDwM4QbYBwNs++ewzNRu2mmPSWVVCv2R81IlKPlBL5ETriXVbbjtNV6k5pNFls+ONbod1fIVBvbClCfUuX1mGQHxQrvIUQSUKI3wkhCoUQJiFElRBirRBifID9LBNCrBZCfCKEqBdCSCFEqVJxkjqklBG1NFVvWw+dUfX1duVWY+uhSlVf0x9//SCPpzCjEPM19dTaYUF7V+SujqF27nxpcwEqG7SfYtJTl8WOFz7M1zoM8oMihbcQIhHANgCPAkgFsAlABYC7AeQIIaYF0N3zAB4D8HUAI5WIj9RX3diJJqNZ6zAG7djpZtV2cmzrCJ8pJr1VNXTiP9tOax0GKYj5mnqra1Z/ap2SPj9UqdrqJkeLG/HO9vDMiVuzKnG0ODzWNifflBrxfgTAEgD7AMySUt4qpVwM4BcARgFYG0BfW139XQdgrkLxkcoiZZv4s9mapc4oyvPvH0djW/h+SHljSyGaI/hDFPXBfE1e6iJ8ikJ1YyeOnQ79/gNmix1/fOsIwvnSl79tzOe1OWEu6MJbCBEP4EHX3ZVSSs9CoFLKZwAcBbBMCHGRP/1JKX8tpXxCSrkVAHfyiFCRPM3EbWvWmZAnsD3Ha/HpAXWntQSq02zn8oJRgvma+lPfEtkj3oAzX4faKx8XqLqb8GDklTTz2pwwp8SI92UA0gEUSyn7u9rgPdftDQq8FkWISL6w0q2sth2FFa0h69/YacVTG3JD1r+SPthdiuowWDaLgsZ8TV4sNkdUnNH6MqcKVlvotmw/XtKEf2+LjJVDXvqoICKX8o0VShTeC1y3h3087m6fr8BrUQQwW+whLVjV9PG+8pD1/df3j2uybOFgWG0OvPbJSa3DoOAxX5OXhpYuREOJ1tZhDdlIr9lqxxNvHkGk1LIlNUZ8dqBC6zDIByUK70muW1/nedztkxV4LYoAJysic+Oc/nx68Aw6TDbF+92fV4dP9kdWYvz0YAWKVV62ixTHfE1e6qJgmonbByHaun3tf0+irLZ94CeGkVc/OckVqcKUEoV3quvW13lo94SoNAVeK2BCiLz+vgBM1yKeWBAN00zcOk02xecOGjutWLNB222GB0NK4OXNBVqHQcEJ23zNXK2N+ubIvrCyp8OFDSirUXbH3RNlzdjwRWRMMemptrkLH+0p0zoM6gc30CHF5UXBiiY9fbCrRNGLLJ9/73jEjjLtPlqD/Cj7/0sUq6SUqIuQ6W7++jBTuWLTZnfgj2/lRuwZ3Lc+PxXSee80OEoU3u7zL8k+Hk9x3Sr7MdRPUsq5/X0BiLyPsBEimka8AaC4yojskw2K9LUrtxr/jfC5d2s/LdQ6BBq8sM3XzNXqM3ZaYbJE13SEzw5WwKzQ93ToZAMq6iJriklPre0WFJRH5o6k0UyJwtt99dkEH4+723nOIwbUNXdFxdJUva37LPhis9loxlNvR8YqJmez93gt8sui68NVDGG+Jo9IX7+7P11muyJnXasbO6Pi7N7R000c9Q4zShTe7kriQh+Pu9vDc2s+UlS0jXa75RQ14sipwe8I5nBI/PGtI2g2WhSMSjtr/8tR7wjFfE0ekb5jpS/5pc2wBHFhoclix67c6qhY7cVksXPUO8woUXjvAdAKYLoQ4vx+Hr/FdbtZgdeiMHe8JHr30PjnphODnuv99pfF2HO8VuGItLP3eC1OlDGZRyDma/Koj8IRbwAw2xw4OsidLB0OiV251WgPwWpWWjnGUe+wYgi2AymlRQjxdwAPA3hBCHGtlLIDAIQQP4dzPdidUsps9zFCiAfh3D1to5RyVbAxUPg4djo6R7wB5ym7z7Mrce1CX2fp+3fkVCP++dGJEEWlnbX/PYk//c9ircOgAERqvpZSoqXF/w966enpEEJ4tbW2tvr9wTk+Ph7Jyd7T4C0WCzo7/d9EKi0tDXq93qvNaDTCbvdvJNZgMCA1NdWrzWazob3d/znHKSkpiIuL82rr6OiA1WpFa7sJ9c1Gz/bnNnM7HL3H4oQOhnjv90FKB+wW/98HnSEBOr13DHabGdJu9bsPQ0Jqnzabuf/3QQcHHAkWHC2qxeRRCWhpaUFKSgqSkpK8nmc2m9HV1feDx4YvClFW3f13zP2+6OOTIYT3+2OzdALSv4JW6AzQxyV6tTnsNjhs/p910MclQei8f6bs1i5IR/8/U+73osMGHD1Vi4UXGTFs2DDv4+12GI3+X9KRnJyM+Ph4r7bOzk5YLP6dzRVCID093atNSonWVv/3/khMTERiovd7aTKZYDL5/14GmyOCWXAh6MLb5Q8ArgZwKYAiIcRuONeBXQygHsA9vZ4/EsBsAGN7dySE+CGAH7ruun9bxwoh9vd42gNSSl8bQJBGusy2qD+l9fcP8nFJxhikJccN/GQAFXXtWPVyVsReFX82e1yj3nMmD9U6FApMxOXrhoaGPgXD2TQ3N2PoUO+fy8mTJ/v9x3358uVYv369V9uGDRtw9913+x1DTk4Ozj/f+6TC5Zdfjtxc/67zWLZsGXbs2OHVlpmZiSuvvNLvGDZu3IibbrrJq+3OO+/Epk2bYDAYsHTpUk97dmYmbDbvUd7ho8bhiVe+8GprrK3EI/fd7HcMt9zzG3z1+u97tb3z6pPY/vGbfvfx4of5fdr+56aMfp9rMBiQ5Pq+/pEN3HHrd7By5Uo899xz3n2++CJ+9rOf9Xt8f+/LH176HCPGjPd67sP3Xo2m+iq/vocFi67C/f/3d6+2I/u/wEtrfuLX8QDws9+vx6x5i7zannl4OYrysvp9fs/3oioHePOlp3Ekx3vD2mPHjuGCCy7wO4Z169ZhxYoVXm0PPPAAXn/9db+OT09P7/MhurW1NaDf79WrV+Oxxx7zaluzZg0ef/xxv/sINkf0/vAQCEUKbymlSQhxJYBVAO4AcBOAJgDrATwqpQxkIeQJcP4B6Cm+V9uQwUdLoZJX2hyVBWZPDa0m/OnfR/H43Rf2+bTcW2OrCT9/YT9aO6JjXnd/OOodeZivyV9pyXG4/8Y5Xm2lpUl4JIA+Lps3pk8fBduHY3sAffQ+HgD+J4DjlXDntTMwZcoUr7Y1D8XB3wktU8am9fk+PpQn8VIAMXxr6WRccYV3H/9+NhlFfh7f1h69f4siiWLreEspu6SUv5VSzpBSJkgpx0op7+4viUspH5NSCinlirM8dravHUrFTco5Why987t7+iK7csANFWqbu/DAc3tQ2eD/KdlItIdzvSMS8zXFkmhcaWswmjssMFmiZ+56pBJKbgwSSYQQeRkZGRl5eXlahxJRbDYbMjMzPfeXLl0Kg8F54uShv+1FVoEy611HgpU3ZeCOq6f3Gfk+dLIej607jCajWaPI1LV03hg8ff/Ao95n+9khYO7cucjPz893rV1NLkKIvDlz5mTs3bvX72M4x9vJ1xzvzi4zvvPoFkxMcubray+egG9cc3mf30edTochQ7xPWDgcDrS1tfkdQ1JSEhISErzaurq6YDb7nx97TwkA4HPOv81mw67M/fhkfzlMFjuK24YhOTkFTz+wFAvPHeV5ntlsRmdnJzZmluGVzSc8Z2sTDcAPvpKIMcOd//8XLlwIg8GAIUOGQKfzHqtsa2uDw+HfHO+4uDikpKR4tVmtVnR0dPg4oq/U1NQ+/4/a29v7TBFys9ls2L1nPzZmlsJulzhtHIGf3LYYt3+1ezNYzvHuFkiOuPTSS3HixIlB5Wv+1SNF2OwOHI/iCyv788KH+ThYUI9br5yGiaNTUNnQiU/2l+PLbP/m/EWLzGO1OFnegtmTONebQkMI0W/xFYhg5mQCzmK8d8ERqLS0tKCONxgMQb8PKSkpKKkzw6FLgs4QD71OYMLodAwdOtSvD8I6nS7oGJKSkvpc7BgoXzHYbDYMH5qKaxdNwacHz8CQkAqTXYef/n0fvnXZZFy/eCKGpMTjZEUL3t1egrzSZoi4FBgAJMTp8eS9F8JUf9LrdXy9L70/lAQqLi4u6Pey94eznmw2G4alp2Lu1NE4XtoMfXwy/vX5Kdx8+WQkxju/J71eH3QMycnJfT6oBkKJ3+/+ivFABZIjBppqejYsvEkRRWfa0BVlO6D5I6ugHlkF9VqHobm1nxbiqfsWDfxEItJcz2mBo9ITodcrNus0bIwZnoyrLhiHin0SXVYJh3RuJ+9rS/mR6Yl44ocLMWfSEGT2KLyjwbxpw3HCtfBBk9GMTZlluPWq6QMcRaESfb9tpInc4sFvLkORb/fRGhRW+H+qkIi0c+RUd+E9ZlhwI8/hbNKYVDz/40swcXTKWZ93xfljsX7VMsybNlylyNSVnGjAuT3OSL71+SmYY3CgLFyw8CZFxMqFleTb+s+4myVRuHM4JI712FxmzPDoLbwB4NzJQ/HWw1fil7fOw4Lpw5GcoIcQzg8cX18yES/9Yin+eO/FGJ6WMHBnEWz+tOGIj3OWfI1tZny0t/+Rfwo9TjWhoEkpg9pOnaLDjiPVOFXZihnjg5tLS0ShU1bbjtYOC3QABIDRUTzi7RZn0OHbX5mKb39lKgDnhw+dbvBzdCNRcqIB37xkEt7bVQ4AeHPrKXzrsslIiNMPcCQpjSPeFLTyug60cH1QArDuU456E4Wz3B6DJMPTEmKy8Iq1otvt9q/OQLzBWfY1tJrw8d5yjSOKTSy8KWg5RbGzhCCd3facahRX+b/UGBGpK6dH4R0Lo93UbdTQRHzrssme+29uLYLFyrneamPhTUHLLmThTd3Wc9SbKCxJKZF9sjtfjx0x+CXgKDLddc0MxLlGvetaTPh4H0e91cbCm4LicHgncqJtOVUoqfZ/QwYiUkdJtdGzsZcQLLxj0ehhSfjmJZM899/ceoqj3ipj4U1BKa02cn43eZGSc72JwlHPs5Mzxg9BYnzsze8m4HvXzoBB75znXtvchf/ur9A4otjCwpuCks3VTKgfXx6uRGkNR72JwknPwvvCmSM1jIS0dM7wZK9R79e3FMFqc2gYUWxh4U1BySnkro3Ul5Sc600UTuwOiZzC7oGSC2aN0DAa0tr3rp3pPep9gKPeamHhTYPmcEivHdCIevoiuxJlte1ah0FEAAorWmHssgIA9DqB+dNYeMeysSOS8fUl3aPeb2wpgs3OUW81sPCmQWtsM6HTZNM6DApTDgm8zt0sicJCdo+zk3OnDENyIvfPi3XLr5sJvWtN8+rGTnx24IzGEcUGFt40aFUNnVqHQGFua9YZVNRx1JtIa4d6rG5fN8cAACAASURBVD510WzO7yb3qPdEz/31Wwo56q0CFt40aJUNHVqHQGHOOepdpHUYRDHNbLEjt8e0wItmsfAmp+/3GPWuaujEloMc9Q41Ft40KBarHbXNXVqHQRFgS9YZnOGoN5FmcooaYXat1ZycoMe8acM1jojCxfiRKbhu0QTP/fWfcdQ71Fh406BUNXbCIbWOgiKB3SHx8scntQ6DKGbtzav1/Pvic0d5di4kAoAVPUa9Kxs68fFe7mYZSvzto0GpqOM0E/LfF9mVKCxv0ToMopi0P7/O8+8lc8doGAmFowmjU3H94u653ms/PQmThQsnhAoLbwqYlBJn6ll4U2Be/qRA6xCIYk5FXbtXvr4kY7SG0VC4+sE3ZiM+zlkSNrSa8c72Eo0jil4svClgTUYzOs38NEyBOVTQgCpekEukqr153aPd08elYfSwJA2joXA1ZlgSvrtsquf+W58Xoa3DomFE0YuFNwWMo900WFkFDZCSFwcQqWV/j/ndl3CaCZ3F966dibSkOABAe5cNb2zhilShwMKbAlbB3QhpkBraTCit4c8PkRo6TDYcLureJv6SuZxmQr4NSYnHXdfO8Nx/b2cJapq4X4fSYnrrKiklWlr8v+ArPT0dQgivttbWVr9H8OLj45GcnOzVZrFY0Nnp/w92Wloa9Hq9V5vRaITdbvfreIPBgNTUVK82m82G9nb/iqHaxnbUNHVC6Lw/s9mtJkiHn9NPhA6GeO/3QUoH7Bb/3wedIQE6fZx3DDYzpN3qdx+GhNQ+bTaz/0Wh0MdBb0jwanPYrXDYzH73oY9PhhDe76XN0glI/5ZzEjoD9HGJvWKwwWEz+R9DXBKEzvtnym7tgnT49zMlhA763v8/HXbYrd7LTerggCPBggN5lRg9ZBJaWlpgMDhTUHJyMuLj472e39nZCYvFv1OdQgikp6d7xyAlWltb/ToeABITE5GY6P1emkwmmEz+v5fB5AiHg0t4kbL2Hq+F1eb8uRqSEsdlBGlA371iKt7dUYKGVhMsNgde3lyA3y6/UOuwokpMF94NDQ0YNmyY389vbm7G0KFDvdomT57s9x/35cuXY/369V5tGzZswN133+13DDk5OTj//PO92i6//HLk5ub6dfyyZcuwY8cOr7bMzExceeWVfh1vMBhw44rfIGnYBMQbdLjtqmnQ6Q146ckf4+jBbX71MXzUOPz+5c+92hrrKvHb+27263gA+M49/4urvvZ9r7b3XnsS2z9+y+8+XtiY16dt5c1z/T7+ym/ehVt+sMqrbdvmN/D+2qf87uN3L23FiNHjvdoe/dE1aKqv8uv4+Yuuwn2r/ubVlnvgS7y85id+x/DQ79dh1nmLvNqee2QFivKy/Dp+/JTZ+L9nP/Bqqyg5gTU/v9OrzWAwIGnpUgDAyT3Onzubzflhbd26dVixYoXX8x944AG8/vrrfsWQnp7e50N0a2trQL/fq1evxmOPPebVtmbNGjz++ON+9xFsjiBS0o4j3Xlk6bxzYNDzJDedXWK8AT/8xmys2eCsKT47eAbf/soUnDeVH9qUEtOFNwVn1sR03H9jBgwGA7auT8NRP49LS47DAzdleLWVlibjtwG89tJ55/Tpo3DHCGwPoI/exwPAygCOnz99RJ8+LKXn4P0A+vjetTMxZcoUr7anfxqHpv6f3sfUsWl9YvgQhXg5gBhuWjoFV1zh3cc7zyXD39l9I9MT+8Rw5IgFawKIgYiUZbbYsa/HhZVXnj9Ww2goknzjkkl4f2cJiirbAADPvnscr/zycuh0YoAjyR/8+EuDNuWcNK1DICKifuw/UQeTxbVbZaIBC88dpXFEFCn0OoGffnee5/6JshZ8eqBCw4iii4jVFQaEEHlz5szJ2Lt3r9/HxPoc788OVOC5d3MxY6gRKUnxuO2qabj88sthMBjQ0dEBq9W/+dU6nQ5DhgzxanM4HGhra/PreABISkpCQoL3/Oquri6Yzf7Pr+49JQBAQHP+ExISkJTkvTSX2WxGV1eXjyP6GjJkCHS95su3tbX5Pd83Li4OKSkpXm1WqxUdHf6vPJOamuqZa+3W3t7umQYyEL1ej7Q07w9hdrsdRqPRq81ms+FfH3yBgwX1AIDitmF49sdLMWfyUM7xBnDJJZegoKAgX0rp/3ynGCCEyMvIyMjIy+s7NYx8+93rh/HZwTMAgKsvGo/f3XOR1+M2mw2ZmZme+0uXLu2TByJRsN9XNL0vwX4vj752CF8edk5XGp6WgP+svgopSXEDHBUb5s6di/z8/EHl68j8aVKIEKLf4isQvf/YByo+Pr5PwRGo3kVPoAwGg1/vw8FTBTAkpELoOjB5TKpXgdG7+AuUTqcL+v9FUlJSn0I4UMHGkJCQ0OcDQaB6fygJVFxcXNDfR+8PZ4HS6/V9YrDZbJg3cwxO15rQZDTDkJCK17aU4+VfTu73FGZycnKfD6qBUOL3u79iPFD+5ojeH8CIBstitSPzWI3n/hWcZkKDsPLmDGQeq4XZakeT0Yx1nxbiwW9zXCBYzPTkl6Y2E7JcI5UAMGUsp5lQ4HRCYEmPnfPyy1qwcXepdgERRaE9x2vR3uU8Y5UQp/f6nSPy1znDk3HXNd3LC/5n+2kUVvBC8WCx8Ca/fH6oEnaH83R5aqIBY4dz9zManLEjkjGtxwe3Fz86gbpm/6fnENHZuaeYAMCy889BcmJMn9ymINx5zXSMG+k882h3SKzZkOupBWhwWHiTX3om8mnjhvSZx0oUiCUZo5Ga7Jwr2Gmy4c//OcodLYkU0NJuxr4eu1V+bdFEDaOhSJcYb8Cvb5vvuV9Q3oJ3d5zWMKLIx8KbBnS6qg0ne5xemjE+uDnIREkJBjxw4xzP/cxjtdieU61hRETR4cvsKtjszg+xI4YkYOHskRpHRJFu0ZzRuH7xBM/9lzcXoKrB/wv4yRsLbxrQJ/u7lxGaNXEIhqUFd/EgEQBcv3giLprVXRT85Z2jaDL6vyoNEfX1yf5yz7+vvXgCN80hRfzk2+dhaKpzIQiTxY41G3Lh4JSTQeFvJJ2V2WL3SuTX8bQlKUQIgf+9YwHi45xpqNlowZp/5XLKCdEg5Zc1o6C8++zk1xczX5My0lPj8dNbzvPcP3SyAe9wysmgsPCms9qWU4W2Duf63Inxelx38YQBjiDy34RRKVjZY9fLzGM12LSnTMOIiCLXxl2lnn/PnzYc0zktkBR0zcLxXktTvrjpBE5VcpWTQLHwprP6oMdSb9csHI9ULp5PCrtl2VQsntO9q95f389Dee3AGzoRUbe2Tgs+z6703L/58inaBUNRSQiB/719AUamO6ebWm0OPLb+MMxW/zbwIycW3uRTQXkL8kqaPfe/zUROISCEwMPfuwDpKd3zBx957RBMFv92ziQi4OO95bBYnTveDk2Nx5UXcNMcUl56ajwe/t4Fnvunq4x45p1jGkYUeVh4k09vbi3y/Hvu1GGYPSm4XQCJfBmZnojf3LnAc/9UZRvnexP5yWK149/buufb3nDpJMTH6TWMiKLZ4jmj8f+unOa5v3lvOacIBoCFN/WrrLYdO450L+9259XTNYyGYsGyBWNx21XdyXzroUq8u6NEw4iIIsNnB8+godUEAIgz6HDLsmkDHEEUnJU3ZWDu1GGe+8+8cwz5pc1nOYLcWHhTv/71+Sm4Bxsnj0nFV+bztCWF3gM3ZeCCmSM89//2QR4OnqjTMCKi8GZ3SPzri1Oe+19fPBGjhiZqGBHFgjiDDn/84UIMS3NOEbTaHFj1ShZ3IfYDC2/q40xdOz490L12913XzIBOx50qKfQMeh1+f89FnsLB7pD4v1cPoegMr5wn6s/WrDOoqHNuZqITwJ3XzNA4IooVo4Ym4Q8/WAi9qz6obzHhF//Yj/Yuq8aRhTcW3tTHPz8qgN21MP7YEcm4lksIkoqGD0nEkz+6GInxzjmqnSYbfvGPA6hp6tQ4MqLwYrbY8fLmAs/9qy8ajwmjUjSMiGLNBTNH4qff7V7fu7jKiFUvZ8Fqc2gYVXhj4U1e8kqasS2nynP/vhvORZyBPyakrozJw/D7ey6C+0RLQ6sJP/3bPtS3mLQNjCiMvLvzNGpdp/YNeoEf3XCuxhFRLPrOV6birh5nWrILG/DbtYdYfPvAioo87A6J59477rk/e2I6rr5ovIYRUSy7bN45+OVt8z33y+s68ODze1DfwjmERPUtJrz+WffKU99ZNhXjRnK0m7Rx/7fm4NqLu+uFnbk1eJTFd79YeJPH+ztLkNfjquSVN2dwbjdp6qalU3Bfj1G8iroOrHxuL6edUMx75p2j6DA517pPTTJgxXWzNI6IYplOJ/DwXRfg0vPGeNp25dbg4VcPcYOdXlh4EwCgurETL310wnP/2oXjsXD2qLMcQaSO5V+bhfu/Ncdz/0x9B+79024UlLdoGBWRdrbnVGFnbo3n/sqb5yI9NV7DiIi6VzpZOq+7+M48VoOf/HUvWtrNGkYWXlh4E2x2B1avy0aXxfmpND0lHg/dct4ARxGp5/vXzcQDN3UX341tZjzw7B7szK0+y1FE0aemqRNPvZ3ruX/BzBG44ZJJGkZE1C0+To8nfngxLp9/jqft2Olm3Pun3SitMWoYWfhg4U144cN8HO+xNfxPbzkPw9ISNIyIqK+7rpmJ39yxwLN0lclix6qXs/DX949zHiHFBKvNgUdfy0Zbh3O5toQ4PX5zxwJOCaSwEmfQ4YkfLsQNl3Z/IKxs6MQ9T+3yWqo4VrHwjnGb95bhPz22Gv7mJZNw3SIuH0jh6VuXTcafH1iM5ESDp+3f207jgWf3oLy2XcPIiELL4ZBYs+GI13U4v759PiaOTtUwKqL+GfQ6/OaOBbj/xu4zlSaLHb9/Iwd/eDMHxs7YXeubhXcM25Vbjac2dJ+ynDF+CH7x/+ZpGBHRwBbPGY1Xf3U5po1L87TllTbj+3/cgfWfFXL0m6KOlBIvfJiPTw+c8bR967LJuH7xRA2jIjo7IQS+f+1MPH3/IqQlx3na/7u/Anf+YRu251RBurfIjiEsvGPU1qwzePjVQ3Dtk4OR6QlY86OLkeDatIQonE05Jw2v/upyr1OZFpsDL28uwPf/uAM7j1THZEKn6ONwSDz77nG8/WWxp+3CmSPws+/yOhyKDEvnnYP1v1mGuVOGedoaWs14+NVD+PkL+3GyIrZ2Jlas8BZCJAkhfieEKBRCmIQQVUKItUKIgBeCFkIME0I8L4QoE0KYXbfPCSGGKhVvrLI7JNZ9WojH1h/27E6ZmmTAMyuXcA1YiiiJ8QasuvN8/PHehRiZ3n1NQlltO1a9koV7/7Qbe47XwuFgAd4b83VkaO+y4pHXDuG9nSWetpkThuCp+xYhIY6DJBQ5xo5Ixos/vwz33XAu4ntsynfgRD3uXrMTj649hMIYKcANAz9lYEKIRADbACwBUA1gE4ApAO4G8E0hxBIp5WnfPXj1NRLAPgAzAJwG8CGAuQAeAnC9EOISKWWTEnHHmurGTqzZcARZBQ2etqGp8fjLA0swY3y6hpERDd4V54/Dwtmj8OKH+fhwTxncA935ZS341YsHMGlMKr67bCquWTgeQ1K45BrzdWQ4cqoRf3gjB1WN3WvWz5k8FH/+n8VISYo7y5FE4cmg12H512bhygvG4el/H8Xhwu5a5MvsKnyZXYWLZo3ELcum4pK5oxEfpR8uFSm8ATwCZxLfB+BaKWU7AAghfg7gLwDWArjCz76egzOJfwDgVimlzdXXXwH8GMAzAFYoFHdMMHZa8c7203jr81NeC9mPG5mMZx5YgkljeHEORbbUpDj86vYF+PayqXjpoxPIPFbreay8th1/eecYnn//OC49bwyuvmg8Fp07KpaLcObrMHamrh2v/bcQW7LOeLUvyRiNP/xgodeFxUSRaNKYVPztJ5dg7/FavPjRCZyu6l5mMLuwAdmFDUhLjsNXLxyHKy8YhwXTh0dVER70b7AQIh7Ag667K91JHACklM8IIZYDWCaEuEhKmT1AX2MB3A7AAuABdxJ3+RWA2wDcJYT4tZSyLtjYo5mUEicrWrHl4Bls3leOTpPN6/Erzh+LVXee73XBA1Gkmz5uCJ6+fzGOnW7Cv744hd1Hazwj4Da7xK7cGuzKrYFOABlThmHRnFE4b+pwZEweGhOFOPN1eLLZHcgqqMcn+yqw40gVes6O0gngB9+Yje9fN8uzlCZRpBNC4LJ552DJ3DHYdrgKb39Z7LUpmrHTig8zy/BhZhkS4/W4cNZILJw9EnOnDMOsCekRfT2aEh+dLwOQDqBYSpnTz+PvAZgP4AYAZ03kAL4G57zz3VLK2p4PSCnNQojNAO4B8HUA64OMO6o4HBI1TZ3IK23BkaIGZJ1swJn6jj7PG56WgJU3Z+BriyZACCZxik7zpg3Hmh8twpn6Dry/qwSfZ1Wiydi9c5pDAsdLmr3Wr58wKgUzxg/BpNGpmDQmBZPGpGLMsCQMS0uAQR8116EzX4cBq82B8tp2HD3dhCOnGnHwRD1aOyx9njd7Yjp+ces8nDd1uAZREoWeXidwzcLxuPqicTha3IQPdpdiV26N19l5k8WOvcdrsfd4reeY6eOHYOo5aZg0JhWTx6RiwqgUjBqaiPSU+LBf116JwnuB6/awj8fd7fMV6useP/sakARgcf3PlZ7/ABLSM0ompacZkNLzb9njufB6ruz/OM/zu49FP8+VPZ5rd0iYLXaYLHaYrK5bsw3GTisa28xoMprR1GZCdVMXymravX5Qe0tLjsMty6bi9q9ORyrnB1KMmDAqBQ995zysvCkDh0424ItDldiXX4tmY98i50x9R78fVoVwfmAdmZ6I4WkJSE2OQ2qiwXmb5PxKjNcj3qBDfJwecQYdEuJ0iDc4/x0fp4NOCOh0AjoB123f+w51VmGJ2HztXiZS9sjD6J1ze+RZ952eOTfYfO3d3n0s4By17jLbYXbnaosdXRYbWtstrlxtRmObGWfq2lHZ0Om5uL0/k0an4K5rZuL6JRM5yk0xQQiBBTNGYMGMEegw2bArtxrbDlchu7ABJot3bWN3SBRWtPZ7MaZBLzBiSCJGDk3EsNR4T452fhmQkhTnyc8JcTpXjtYjPk6HeIMOBr0Oep2AEMJ16yz0dUJA6AT0QkDoEFS+VqLwdq/ndcbH4+72ySr3NaDSaiOu+OknSnQVthZMH45rFo7H1xZN5NxAilkGvQ5LMkZjScZoOBwSRZVtOJBfh6Onm5Bf2oyW9r6FuJuUzi3qG9vMPp+jhLIaVTYAish8XVJtxLKHPg62m7AWb9Dh0vPG4LpFE7B03jksuClmpSQacP3iibh+8URYrHYcLW7CgRN1OF7SjJMVrX0K8Z5sdona5i7UNneFNMZg8rUSlZj7yrxOH4+7h5DSfDweqr4AAEKIPB8PTfe3j0gybkQyFswYjgtmjMTCc0finOHJWodEFFZ0OoHZE9Mxe6JzJR8pJaobO1FQ3oqy2naU17ajvK4dZ+o7onF3tbDN17GWq/U6galj03D+jBG4YOYIXHzuKJ6NJOolPk6PheeOwsJzRwFwnlkqrTGisKIV5bUdKK9rR1ltO6oaOs961j+ccAg0jAkBJMbpkRCvR2KPr+TEOIwckoBhQxIwYojzFPjkMWmYPCaVo9pEARJCYNzIlH7XsTdb7KhvNaHB9dVsNKO9y4b2Livau6zo6LLB2GWFxWqH2eqA1WaHxeaAxeqAxWaHxeqA1eaA3SEhpQSXFI9eep3w5Gh3zk6I0yM9JR7D0xIw3JWvxwxPwpRz0jB+ZAriDFFz7QCRKgx6HWaMT++zBLKUEh0mmzNXt5hQ32pCa4fFK093dFnR3mXz5GZnrnbmbKvr31a7hMMh4egx5Uzx70GBPtzj7b6GVt1/zYw+Hg9VXwAAKeXc/tqFEHmTxqRmbHriWrivMRSA598QAj3+Cfc9IVxPhHebgI/jej7X63V69NcdU584eAEkkXYS4vWYMCoFE0Yps7mU+xoOh+xO7g6H8/7F21JR0DxwH0EK23x91lw9OjVj0xPXAP3kXNEjYXrlToge+Tw0+dorBjBfE2lFCOGZyz3lHL8nRZyVe7CkO1d3318URL5WovAud91O8PG4u71M5b4GpNcJjBqaqERXREQDEsJZDOoggF6rYal0JX5E5mu9XmDU0KRguyEi8psQAnrXxZW9BZOvlTjPleu6vdDH4+72oyr3RURE3piviYg0pEThvQdAK4DpQojz+3n8FtftZj/6+gyAA8DlQojRPR8QQiTAubasHcB/Bx8uEVHMYr4mItJQ0IW3lNIC4O+uuy8IITyTIV1bEM8HsLPnLmhCiAeFEAVCiCd79VUN4G0A8QD+IYToORXmaQCjALzFXdCIiALHfE1EpC0hFbhsUwiRCGAHgMUAqgHshnPt1sUA6gEskVKe7vH8xwCsBvC6lHJFr75GAtgP5xJSxQAOAZgL4DwARa6+mhSIuS0hISFt+vSoXKkqpDo6ujcZSUlR5qIzig382fGtuLgYZrPZKKUcEsrXibR8zVwdOtH6+xjs9xVN70s0fS/hJJh8rcjac1JKkxDiSgCrANwB4CYATXBuE/yolNLXBgv99dUghFgE4DFXPzcDqAXwVwCrpZQtSsQMoNNsNiM/P79Cof7CifsvVLGmUcQGvtfqiub3eyJ8r4mtmAjM18zVpBS+3+qK5vd70PlakRFvCi/ujSh8Lc9FyuF7rS6+3xRN+POsLr7f6uL73T+u3k9EREREpAIW3kREREREKmDhTURERESkAhbeREREREQqYOFNRERERKQCrmpCRERERKQCjngTEREREamAhTcRERERkQpYeBMRERERqYCFNxERERGRClh4ExERERGpgIU3EREREZEKWHjHACHEFUIIeZav/VrHGGmEEElCiN8JIQqFECYhRJUQYq0QYrzWsUUbIcSOAX5+v6Z1jERKYK4ODeZr9TBfD8ygdQCkqmIAmT7ayU9CiEQA2wAsAVANYBOAKQDuBvBNIcQSKeVp7SKMWu8DaO+nvVLtQIhCjLlaIczXmmG+9oGFd2zJlFKu0DqIKPAInEl8H4BrpZTtACCE+DmAvwBYC+AKzaKLXr+UUpZqHQSRCpirlcN8rQ3max841YQoAEKIeAAPuu6udCdxAJBSPgPgKIBlQoiLtIiPiIicmK8pHLHwJgrMZQDSARRLKXP6efw91+0N6oVERET9YL6msMOpJrFlphDiSQAjADTAOYfwMymlQ9uwIsoC1+1hH4+72+erEEus+YEQYgQAB4BCAB9KKcs1jokoFJirlcF8rR3max9YeMeWS11fPR0TQnxHSlmkRUARaJLr9oyPx93tk1WIJdY80uv+n4UQv5dS/l6TaIhCh7laGczX2mG+9oFTTWJDK4A/wXmByQjX11cB7AcwD8BWIUS6duFFlFTXbaePxztct2kqxBIrdgH4HoDpAJIBzAbwMAAbgN8JIR7SMDYiJTFXK4v5Wn3M1wMQUkqtY6ABCCE2ApgT4GHfl1IeHKBfPYDtAC4H8H9SyicHGWLMEEK8DOBeAE9IKXt/oocQYgaAIgBFUspZascXS4QQ1wLYAqAFwDgpZZfGIVGMY64OL8zX4YP5uhunmkSGqXB+agxE8kBPkFLahRBPwZnMrwPAZD4w91Xxvt7fFNetUYVYYpqUcqsQ4hCAhQAWA9ihbUREzNVhhvk6TDBfd2PhHQGklOeHsHv3fMGxIXyNaOK+OGSCj8fd7WUqxELOn9+F4M8vhQHm6rDDfB1emK/BOd4EDHPddpz1WeSW67q90Mfj7vajKsRC/Pml2MGf9cAxX4cX/gyDhTcB33Hd+lpuibztgfMCqOlCiP5Gt25x3W5WL6TYJIQYBeepd4A/vxT9mKsDx3wdJpivu7HwjgFCiJ8KISb2ahNCiPsA/AyABPCiJsFFGCmlBcDfXXdfEEK45wi6tyCeD2CnlDJbi/iijRDiUiHETa6Ly3q2TwGwEc45mh9JKX0tF0YUMZirlcV8rS7ma/9wVZMYIIQohXMu22EAJQAS4Vyaaiqci9s/JKX8u88OyIsQIhHOC0MWA6gGsBvOdWAXA6gHsERKeVqzAKOIEGIFgHUAauD8+W2B872+CM6f4zwAV0kp67SKkUgpzNXKY75WD/O1f1h4xwAhxI8BXAtgLoDRAOLQnYD+KqXM0jC8iCSESAKwCsAdACYCaALwGYBHY/3TvJKEEHMA/BjOP5IT4Zwj2AHgBIB3AbwYy8tSUXRhrg4N5mt1MF/7h4U3EREREZEKOMebiIiIiEgFLLyJiIiIiFTAwpuIiIiISAUsvImIiIiIVMDCm4iIiIhIBSy8iYiIiIhUwMKbiIiIiEgFLLyJiIiIiFTAwpuIiIiISAUsvImIiIiIVMDCm4iIiIhIBSy8iYiIiIhUwMKbiIiIiEgFLLyJiIiIiFTAwpuIiIiISAUsvImIiIiIVMDCm4iIiIhIBSy8iYiIiIhUwMKbiIiIiEgFLLyJiIiIiFTAwpuIiIiISAUsvImIiIiIVMDCm4iIiIhIBSy8iYiIiIhUwMKbiIiIiEgFBq0D0IoQogZAMoAKrWMhIgIwEUCnlPIcrQMJJ8zVRBSGBp2vhZQyBPGEPyFEW0JCQtr06dO1DiUmdXR0eP6dkpIS9a9LNJDi4mKYzWajlHKI1rGEE+ZqIgo3weRrxUa8hRBJAFYBuA3AJABNAD4D8KiUstLPPoYC+DqAGwAsATAegBlAPoANAP4hpbQqFHLF9OnTM/Ly8hTqjvxls9mQmZnpub906VIYDKE/+aLV6xL5Y+7cucjPz+eobl/M1UQUVoLJ14pUHUKIRADb4CyWqwFsAjAFwN0AvimEWCKlPO1HV78E8DAACeAIgAMARgG4DMAiALcIIa6TUnYqETcRERERkVqUurjyETiL7n0AZkkpb5VSLgbwCzgL57V+9tMBxkJ1RwAAIABJREFU4GkAU6SUF0opb5NSfhXAPADlAJa6XouIiIiIKKIEXXgLIeIBPOi6u1JK2e5+TEr5DICjAJYJIS4aqC8p5ZNSyv+VUpb3ai8C8BvX3duDjZmIiIiISG1KTDW5DEA6gGIpZU4/j78HYD6c87azg3idXNftuCD6oAhWUN6Czw9Voq6lC+NHpOBriydgyjlpWodFRCEmpURLS4vfz09PT4cQwquttbUV/i4mEB8fj+TkZK82i8WCzk7/ZzmmpaVBr9d7tRmNRtjtdr+ONxgMSE1N9Wqz2Wxob2/3cURfKSkpiIuL82rr6OiA1erfpVI6nQ5DhnhfO+ZwONDW1uZ3DElJSUhISPBq6+rqgtls9ruPoUOH9mkL5OchISEBSUlJXm1msxldXV1+9zFkyBDodN5jlW1tbXA4HH4dHxcX1+eCfqvV6nXB/0BSU1P7XJfU3t4Om83m1/F6vR5pad5/M+12O4xGo98xJCcnIz4+3quts7MTFovFr+OFEEhPT/dqk1KitbXV7xgSExORmJjo1WYymWAymfzuI9gcEdTCJFLKoL4A/BTOOdnv+Hj8G67HPwjydb7p6qcs2Jhd/eVlZGRIUp/VapXbt2/3fFmt1rM+32Z3yOfePSYveWCT19fSBz+S6z89KR0OR0hel0hNGRkZEkCeVCC/RdMXgLxRo0ZJV/7366u5ubnP+5uenu738cuXL+9z/Lp16wKKIScnp08fCxYs8Pv4ZcuW9Tl++/btAcWwcePGPn3ceOONfh8/efLkPseXlJQEFMOzzz7bp4+HHnoooD76E8jxDz30UJ/jn3322YD6KCkp6dPH5MmT/T7+xhtv7HP8xo0bA4ph+/btffpYtmyZ38cvWLCgz/E5OTkBxbBu3bo+fSxfvtzv49PT0/sc39zcHFAMq1ev7tPH6tWrA+oj2Bzheu6g8rUSI96TXLdnfDzubp8c5Os85LrdFGQ/FEGklHhqQy4+3lfe5zG7Q+KlzQXoMttx/41zNIiOiIiIyH9KFN7uc2G+zsG5z6MMek6AEOJ+AFcDaAGwJsBjfa1BxUVhI8CmzLJ+i+6e3thahFkT03HVhZyFREREROEr6A10hBAvA7gXwBNSyj4rjgghZgAoAlAkpZw1iP4vB/AFgDgA35FSbgzweJ+Fd0ZGRgLXhlWfv+tp17d04dbHt8FkGXhOZFpSHP69+ioMS0vw+Ryu403hzLUubL6Ucq7WsYQTIUTenDlzMvbu3ev3MZzj7cQ53k6c4+3EOd7dgs0Rl156KU6cODGofK1E1eHOAsk+Hnf/pPn/f9ZFCHEenFNL4gH8JNCiGwB8vSmugjwj0P5IPS9uOuFX0Q0Axi4rXvm4AL++fUGIoyIitQkh+i2+AtH7j32g4uPj+xQcgepd9ATKYDAE/T4Eu2OvTqcLOoakpKQ+hXCggo0hISGhzweCQPX+UBKouLi4oL+P3h/OAqXX64OOITk5uc8H1UAo8fvdXzEeqEByRO+iPRBKrOPtngcwwcfj7vayQDoVQkwFsBXAMACPSSn/NrjwKBIVV7bhs4O+Lhvo36Y9ZSitCfjzHREREZEqlCi83cv8XejjcXf7UX87FEKMBfA5gLEAnpdSPj748CgS/euLUwEfIyXw5taiEERDFF2EEElCiN8JIQqFECYhRJUQYq0QYnwAfQwVQtwhhHhbCFEihLAIIYxCiANCiIeEEHED90JEFFuUKLz3AGgFMF0IcX4/j9/iut3sT2dCiGEAtsB58eM6AD9TIEaKILXNXfj8UOWgjt2aVYmqBv/nzBHFGiFEIoBtAB6F8+L4TQAqANwNIEcIMc3Prn4J4F8AbgXQDOADAAcBLADwHIBtQojBn38mIopCQRfeUkoLgL+77r4ghPBMIBNC/BzOzXN2Simze7Q/KIQoEEI82bMvV5L+BM4t4t8BcK8M9upPijib95bB7hjc/3a7Q2JjZkCzmohizSMAlgDYB2CWlPJWKeViAL8AMArAWj/76QDwNIApUsoLpZS3SSm/Cmf+Lgew1PVaRETkotSSDn+Ac7m/SwEUCSF2w7lu92IA9QDu6fX8kQBmwzmVpKcnAFwCwA7ABuC1/iawSylXKBQ3hRm7Q+KTfRVB9fHJvnLc+43ZiI/TD/xkohgihIgH8KDr7koppWeJDCnlM0KI5QCWCSEu6jlY0h8p5ZM+2ouEEL8BsAHA7QD+T5noiYginyKFt5TSJIS4EsAqAHcAuAlAE4D1AB6VUvp7ldww163e1Y8vKwYXKYW77JP1qG32f4mn/rS0W7AztwbXLPR7uipRrLgMQDqAYillTj+PvwfnWcobAJy18B6A+9ofLq4fg+pbTHhzaxH259fBZLFj5oQh+O6yaVgyd7TWoRFpTrFFjKWUXQB+6/oa6LmPAXisn/YVYFEd0z7ZH9xot9umPWUsvIn6cq+3edjH4+72+UG+jnueeE2Q/VCEOVRQj1WvZKHD1L22dEOrCfvy6nDT0sn4xa3zodcNfik2okinxMWVRIowW+zIPKrM3+mcogbUtwQ3ck4UhSa5bn2dhXS3Tw7ydR5y3W4Ksh+KIP+/vfuOb6s6/wf+OZIs723HSZw4w44Tx0mc4eyEBCh7hNXS0rJpGaWFUtpCf8wCpYtCv4VCoQ3whbbfFkrYYZO9E8eJ7Th2hp3EifeesqTz+0PS1ZX3kHQ1Pu/Xyy/pXklXB+McPz56zvMcPFaPn7640yXoVnt3Szl++8/8ITcpIQpEDLzJZ+wqrkHHEBvmDEZK4Mt9p91yLaIA4ui20V8LRkdJoBF3ehFC3AHbnp9GAL8ZxusK+/qCrcIV+biGli489Pc96DbbOjmGGfW455pZ+N0di5A1ydkc5cPtJ/DeVm6Ap+DFwJt8xsb9Z9x6vZGWJCSikRFCrATwJwASwC1SSv71GyT+/E4hahptLbv1OoFn7lqMa8+eihWzx+KFe5dhztQE5bnPvV3Asq8UtBh4k08wW6zYfNC96aCHyhtxqrp18CcSBQ/HP4j+6ms7ysEOuwWsEGIWbKklRgD3SCnXDef1Usrsvr4AHB3uWMi7Dh6rd+k0fOeaLMyblqQchxkNeOLWXMRFGQEApm4rnnu70OvjJPIFDLzJJ+SV1qGlvdvt1/2C6SZEaifstxP6edxxfli5AEKIKQA+g60y1WNSyj+PbHjkj/7ybpFyf9qEGFx7Tu/soOS4MPz46mzleMvBSuwtqfXK+Ih8CQNv8gmb8t2bZuK8LosqEKk4yvzN7+dxx/kDQ72gEGIcgM9h68vwJynl4yMfHvmb/UfqkH+0Xjm+95pZ/VYtuWDhBOSkO1NO1n582OPjI/I1DLzJJ+w8VOOR6xafaGR1EyKnrQCaAKQLIeb28fg19tsPhnIxIUQ8gE9h2wD5KoCfuGOQ5D/e+KxUuT83I9ElxaQnIQS+f+kM5TivtA77j9R5dHxEvoaBN2muorYNp2o8t9Fm68Eqj12byJ9IKU0AnrcfviCEcOR0QwhxH2z1uzequ1YKIe4WQhQLIVw6VQohIgB8BFuL+P8A+L5knbigcrq2DdsLq5XjGy6YNuhr5mcmYW5GonL8n6+PeWRsRL7KbQ10iEZqb7Fn8/w2H6zEFSsne/Q9iPzIk7CV+1sGoFQIsRm2ut2LAdQAuKXH85MATIctlUTtKQBLAVgAmAH8XYjeKQb2xmgUgN7fdkK5n5YShcVZyUN63XXfSFdWujcfqERVQwdS4sM9MkYiX8PAmzS3p8QzaSYOew/Xor3TDCN/2okgpewUQpwN4EEA1wG4AkA9gNcAPCyl7K+5Tk/x9lu9/Tr9uWlkIyVfZrZY8dF2Z+C9Zvkk9PWHV1+WZqdgXGIEztS1w2KVWLe5DHdcnuWpoRL5FKaakKasVunxne0msxW7iqsHfyJRkJBSdkgpH5FSZkgpQ6WU46SUN/cVdEspH5NSip4r11LKm+znB/zy2n8UedW2girUNXcBAEIMOly0uL9COb3pdQJXnzVZOf5gWznMFqu7h0jkkxh4k6ZqmjrR1tF3e2F32sI8byIit1F3Bj5rzljERYUO6/WXLElDiMEWgjS0mLDLQxvsiXwNA2/SVIUHN1Wq7TpUDe77IiIavS6TBVsOOEu1fiM3ddjXiI0yYvmsFOVY3YCHKJAx8CZNnalr98r71DZ14djpZq+8FxFRINtWWIUOkwUAEBFmwJKZY0Z0nQsWOdNTNh04g9YO9zdRI/I1DLxJM2aLFTVNnV57v53F/CiTiGi0vlKlmaycPRahIfoRXWdZdgpiIkMA2NrIf53HTsMU+Bh4k2ZqGjthsXov/WM3cwiJiEal02TG1gLnnplzF4wf8bVCDDqct8CZpvL5nopRjY3IHzDwJs1U1nsnzcSh4HgDus3cOU9ENFJ7D9ei055mEhlmwKIZQ6vd3Z/zVPnheaV1aGztGtX1iHwdA2/STFW9d1u5d5utXsspJyIKRNtUq92LspJhHGGaicOsKQlIirVVRLFYJTarNm0SBSIG3qQJq1WiqtG7gTdga09PRETDJ6XENlWL+GXZKQM8e2h0OoFVOc6mqBvyzoz6mkS+jIE3aaK2qRNmi/fL+zHwJiIamWOnW1DV4FwwWZo9smomPa2e58wT3324Bi3trG5CgYuBN2nC2/ndDk1t3WhuN2ny3kRE/mxboTPNZEZaHBJiwtxy3Zz0BMRFGQEAZovEloNMN6HAxcCbNFHp5fxutYoa5nkTEQ2XOr972Sz3rHYDgEGvw1mqdJON+Uw3ocDFwJu8zmqVLh9XettpppsQEQ1Lc7sJBccblONls0af3622WhV47z5Ug65ui1uvT+QrGHiT15VXtsCkYVm/03XtsHqxfjgRkb/LK6lT+i7ERRkxY2KcW68/LzMR4UZbhZQOkwV5JXVuvT6RrzBoPQAtSSnR2Ng45OfHxsZCCOFyrqmpCVIOLYgzGo2IiIhwOWcymdDePvTUh+joaOj1ruWbWlpaYLEMbXXAYDAgKirK5ZzZbEZra+uQxxAZGYmQkBCXc21tbejuHtqGmD2HTvY6J6UVFtPQvw86Qyh0etcxWMxdkJb+x6CDFdZQEzrNwKmqvv+/D+fnITQ0FOHh4S7nurq60NEx9NX8mJgY6HSuf/82NzfDah3aHyYhISGIjIx0Odfd3Y22tqGv6kdFRcFgcJ0KWltbYTabh/R6vV6P6Ohol3MWiwUtLS1DHkNERASMRqPLufb2dphMQ8vHF0IgNjbW5ZyUEk1NTUMeQ1hYGMLCXHNWOzs70dk59O6qo5kjhvr/nEgLew47G5DlTk+GTicGePbwhYbosTArGZvybfndWwsqscRNmzeJfIqUMii/ABQmJydLAEP+amhokD3FxsYO+fU33nhjr9e/+uqrwxpDXl5er2vk5OQM+fWrVq3q9fqvv/56WGNYt25dr2usWbNmyK9PTJkgv/ezl5Sv5Xetk/O+9/KwxjB5+a1y6V3vuXyNnXPZgK8xGAxy9erVyld3d3ev/47hjOGee+7p9fpnn312WNc4fvx4r2tMmjRpyK9fs2ZNr9evW7duWGP4+uuve11j1apVQ359Tk5Or9fn5eUNawyvvvpqr2vceOONQ359bGxsr9c3NDQMawyPPvpor2s8+uijw7rGaOcIAIXSB+ZHX/oCUDhz5sxe31fyrm8//qUy1763pcwj7/H+1jLlPa74f59Jq9XqkfchGq2ZM2eOeL4O6hVv0oa6e+TsKfG4e9ViVJ05jTVvDv0aV541GdfduNTl3DOtH+H/DrhrlEREBAA1jZ0or3J+KrpgepJH3kddF7yqoQPHTrcgPTXGI+9FpBUG3uR16vrdmRNjsSAzGacihtcmOG1MFHKnu7YqTokP7+fZfWtuNyEhhv8EiIgGsrfEmWYyLjECqUmRAzx75BJjw5A1KQ6Hym0pf1sLqhh4U8ARUsrBnxWAhBCFWVlZM7dt2zbk1zDH22Y0Od55JbV48JVdmBbfglCDDt89LwMrV66ETqdDc3PzkMcQHh6O0NBQl3MdHR3o6uo/gDeZuvHgH99Cp8n2vbrlujU4NzfN5TnM8bZhjreNN3O8ly5diuLi4iIpZfaQ3zAICCEKZ86cObOwsFDroQStJ9/Iw8c7bHtzLl2ahl9+b67H3mvtx4fxt48OAwBmTYnHy/ev9Nh7EY1UdnY2ioqKRjRfB/VynxACcXGj25nd85f9cBmNxl4Bx3D1DHqGy2AwjPr70DP46095fTUMxggALUiOC1OCFJ1ON+oxhIeH9wqE1cxmMyaOjcPR07aAcFdxba/Ae7RjCA0N7fUHwXDFxIxuhSckJGTU/x09/zgbLr1eP+oxRERE9PpDdTjc8e+7r2B8uIY6R/T8A4zIF0gpsfdwrXKc66E0E4fls8cqgXdhWQMaWroQHz26OZXIl3CmJ68qVNWBTY4bXmqIO6g/It1zuGbIn1YQEQWjipo2l74L8zM9G3hnTohBUqztj10pgR1F1R59PyJvY+BNXiOlRGGZM/AeM8ycbHdQB95V9R04Wc1mOkRE/dlT4lztnjI2WgmKPUUIgeWq5jxsH0+BhoE3eU1FbTsaW505u8lxnp3A+xIRZkCC6mPLXYdqBng2EVFw21/qbGQzPzPRK++5fLYz8N51qMalEhaRv2PgTV6jTjOJizQiNEQ/wLM9JzXJmTe8q5gfYxIR9Sf/aL1yf26GdwLv3OlJMIbYwpO2TjPyj7KLJQUOBt7kNQXHnRO4FqvdDup0k30ltVxNISLqQ2V9u0t+d46XAu8wowELpjlzybcVVHnlfYm8gYE3eY1LfrcGGysdUhLCobe3O27vsrj8QUBERDb5R5xzY2pShMfzu9WWqdJNGHhTIGHgTV7RaTKj9JSzTndyvHYr3ga9DmMTnIH/zgDJ825s7cK2giq8v7Uc/910HJsPVOJM3dBrxBMRqalTPHLSvbPa7aDuYnmiug0nq4fea4LIlwV1HW/ynsMnmmCx2kr3hRn1iI/Sti5ralIkUG67v+tQDe64PEvT8YyUxSrx5d4KvLulHPuP9J0HmZEagzUrJuHSpWma5dUTkf9R53fnZCR49b3HJUZg6vhoHLP3XdhWUIVrzxldfwEiX8AVb/IKdZrJjLRY6HRigGd7XmqyM8/78MlGNLYOr2W9Lzh4rB43/2YjHnttX79BNwAcqWjGM/8+iGsf+xJbWZqLiIagqdWE42ec3We9veINwKWs4LZCpptQYGDgTV5RoKpoMnNyvIYjsYmPMiIx1rbqLiWwu7h2kFf4DotV4tX1Jbjzj1twpKLZ5bGE6FDMn5aIhTOSMD7RtetjdWMnfvbSLvz+X/ncUEpEAzpwzLnaHR9txMQxQ+tO7E7qdJO80jq0dZq9PgYid2OqCXmFesU7a1Ic0KxteSghBHIzk7F+92kAwK5D1TgvN1XTMQ1FV7cFj7+2Dxv2n3E5f15uKq49eyqyJsVBCOenCSeqWvHWhmN4f9sJJdhet6UcZVWt+O3tixAVHuLV8RORfzjQI79bPa94S/aUeMREhqC5rRtmi8Tu4mqsnjve6+MgcieueJPHVTd0oKaxUzmeOUn7FW8AWDjDWa5qV7Hvt49v7zTjp3/Z6RJ0j0+MwF9/ugKP37wAMyfH9/rlmJYShZ9eOwevPbAKM9LilPN5pXX4yfM70NrR7bXxE5H/2K/O7073bn63g0Gvw5KsMcrx1oNMNyH/x8CbPE6dZjIuMQKJXixJNZD505OV+zWNnSir9N1d86ZuCx58ZTf2qdo3L80eg9ceXIXZUwf/pThlXDRevG85Llw0QTlXWNaA+17YgS6TxSNjJiL/1Gkyo7i8UTn2Vv3uvqjLCm4vrIbV6tsLJESDYeBNHqdOM8n2gfxuh4ToUGROjFWOdx3yzS6WFqvEE2/kYXexs+zhhYsmDDtVJDREj4dvmIcrV05WzhUcb8CTb+TxlxkRKYrKGpUqVBGhemSkxmg2liVZY+DYi1/f0oXik40Dv8APSClxpq4dWw9WYv3Ok1i/8yT2H6lDSzs/gQwGzPEmj1O3is+e4juBNwAszkpGyckmALaygteek67xiHp75YNifLn3tHL8jQWpeOj6eSOqDCOEwP3XzobZYsUH204AAL7cdxqTxkbhtktmuG3MROS/1PW7s6ckwKDXbo0uJtKI2VMTlNKG2w5W+Uy64nA1tnbhnU1l+Gz3KZyobuv1uF4nMG9aIi5fPglnzxuvNHqjwMIVb/KobrPVZYVito8F3otU+YP7Sut8Lu1i4/4z+N/PSpXjRVnJePiGkQXdDkII/Ozbc7Aoy5lq8+r6EpcVdSIKXur63XO9XL+7L8v8vKyg2WLFa5+U4OqHv8DfPjrcZ9AN2D7d3HO4Fo+s3YvvPfm1S2ohBQ4G3uRRRyqaYeq2VdMwGnSYNiF2kFd41+wp8YgItTWV6eq2YM9h3wk+yypb8MQbecrx5LFReOq2hQgxjP6frUGvw5O35iLNXiJMSuDx1/ahvrlzkFcSUSAzW6woUJUSnKNB/e6e1PW8i080obbJf+apssoW3PrbTXj5g2J09FjYGZcYgZz0BGRPjkd0hGvaYHlVK+7+0zY8+9ZBmC0s/xpImGpCHqVOM8mcGIsQgw5mH6ohbQzRY8nMFHyVZ0vl2HSgEstnj9V4VLZPCh5Zuxft9rq1EWEGPP2DRYgMc98/2ajwEPzqllz84A+bYTJbUd/ShSff2I9n7lqsSekwItLekYpmtHfZAkSDXiB7ctwgr/C8KeOiMTYhHJX1HQCA7YVVuGzZJI1HNbitBVV49FXnPA4AsZFGfOvsqbhw0QSMU/VasFolCo7X47+byvDl3go4tt28teE4jlY048nbchGnccdncg+ueJNHFZQ5V058Lb/bYeUcZ6C9+UClsqlIS69/WuLSHOfh6+dhUor72yVnTozFj67KVo53FFXjk12n3P4+ROQf1Gkm09PiEGbUfn1OCOGy6r21wPfTTT7ecQI/f2mnS9C9ZvkkvPX4ubj5okyXoBsAdDqBOemJePzmBXjlZ2e5bGjdV1qHu/+0DfUt/tdhmXpj4E0epV7xnuVDFU3Uls4ao2xiaWw1uXzMqoWSk014/RNnXveVKydj1dxxHnu/q86ajKUznbnuz71dwJQToiCVf8S5sXKuRvW7+7J8lnOBZPehGpi6fWs/jtoH28rx1Jv74WgNEW7U4+kfLMQvrssZUiWqrElxePn+FTh/obOp27HTLbj7ua0MvgMAA2/ymIaWLlTUtivHvrriHRNhxPxMZx7jpgOVmo3FbLHiqTfzlFX3sQnhuOuKmR59TyEEfvadOUque0t7N/74nwKPvicR+R4ppUtFE1/I73aYl5mIMKNtjuowWbDnsG9uPPxszyk8/Y98JehOiA7FX+9fgVU5w1s8CTMa8OiN83HDBdOUc2WVrfjFX3f5XBEAGh4G3uQx6vrdiTGhSIkP13A0AztrjnNS3JR/RrMulm98dgSlp5wpJg9cl+PWvO7+jE2IwJ2qAP+rvNPY5gcf5xKR+5yqaUNDi0k5njOE5lzeEhqixxLVJ3PqDr6+Iq+0Dk+9sV85TooNxQs/WY6M1JEVFRBC4PbLZuCWizKVc4XHG/D46/vYe8GPMfAmj1F3rJw1pXc7c1+yQpXnXVHbjuNnWrw+hqMVzXh1/WHl+PLlk1zKHXralSsmu7SG/p//FqDbhzbCEpFn5R9xptlNGReN2CijhqPpbfU81QLJgTM+Ve2jvKoVD7y8S5kzYyON+PM9y0e9N0cIgVsvmY4rVjg3k27Yfwavri8Z1XVJO24LvIUQ4UKIXwkhSoQQnUKI00KItUKI1MFf7XKdVUKIR4UQHwkhaoQQUghR5q5xkve4Bt6+s3LSl5T4cMxIc+7e/2rf6QGe7X6OFBOzxbaKMSYuDHdf6dkUk550OoGfXjtb6RJ3oroNb2045tUxEJF21GkmOT6U3+2wPDsFRns51ea2bp+pc91pMuOXL+9WOk8aDTr87o5FbtsQL4TAfd+a7bLiv3b9Yexh7wW/5JbAWwgRBuArAA8DiALwHoCTAG4GkCeEmDqMy/0JwGMALgaQ5I7xkfdZrBKHyny3Y2VfzpnvXE35dPcpr6ab/POLoyg+0aQcP3Dd3GG1g3eXjNRYXKFqKb92fQnq/KhmLhGNnLqiSY4P5Xc7RIaHuHwK+HWeb6Sb/PmdIhyvdH5K+vAN8zDbzWk6Br0OT9yyAKlJtmooUgKPvrbXr2qak427VrwfArAEwHYAmVLKa6WUiwH8FEAygLXDuNZn9utdACB7kOeSjzp2ullpFqDXCcxI863GOX05L3cCHNkwFbXtKCprHPgFbnL8TAv+/rEzxeSSJROxJNt7KSY9ff+SGUozh/ZOM158/5BmYyEi76hr6sSpGmdHxTk+uOINAGer0k025mufbrIp/wzWbS5Tjq87Nx3nLhjWB/1DFhkegidvW6is+je0mPCbf+ZrtieJRmbUgbcQwgjgbvvhD6WUrY7HpJR/BHAAwCohxIKhXE9K+XMp5VNSys8AaFvXjUZMXUZw2oQYn6gFO5iU+HDMzXCu8ny62/P1rM0WK556I0/JC0yKDcOPr57l8fcdSGyUET+4dIZyvH7nSRw93TzAK4jI36lXu1Piw3vVmfYVK2aPhUHvLP+qHre31TR24Nf/cG6mnD4xFrdfnuXR95w+MRY/vtq5JrmtoAof7zjp0fck93LHivdyALEAjkop8/p4/G377WVueC/yE+r87mwfrd/dl/MXTlDuf7G3wuOrKf/+6hiKyp0r67+4LqdX62AtrFkxCZPH2vITpQT++n6xxiMiIk864NIm3jdXuwEgOiIEC2ckK8df7KnQZBxWq8SvXs9Dc5strzvMqMdjNy9AiMHzNSuuXDkZi7Oc34Pn3i5AVUOHx9+X3MMdPyE59tt9/TzuOD/HDe9FfqLAz/K7Hc6eN06ZOBtbTdikJ4CjAAAgAElEQVTtwc0rZZUteOVDZ0B70eIJLt3ZtGTQ63D7Zc6Vmy0HK3FQ48ZCROQ5B1zqd/tu4A0A31Clcny17zS6NGim888vj2CvanPnvdfM8kh34b4IIfDgd+ciKtz2SXJbpxm/ZcqJ33BH4J1mv+3vc3nH+Un9PE4BprnNhBNVSsaRz1c0UYuJMGKZKr/6/a3lHnkfi1Xi12/uh8meYpIYE4p7NE4x6emsnLEun1b85d0iTuwBglWoSK2t04ySk87N3XN9cGOl2qqccQi3N9Np6ejGFi83PTtU3ujyKeDqueNw2bK0AV7hfmPiw11+Z+woqvaZzaY0MHcE3o4/8dr7edyxWyPaDe81bEKIwr6+AKRrMZ5goG6cExdlVHZh+4vLlzv/Rtx8oNIjH+G9teGYSzrOz7+Tg5hI36qZK4TAnWucq975R+uxvbBawxGRO7AKFfVUeLwejn4s0eEhmDJOk1/XQxYRZnCp6f3xTu/lOLd3mvHYa3uV7sJj4sLwwHU5mvSpuHjJRJe0mz/9twBtnWavj4OGhw10yO0K/ahxTl8WZ43BePvGIqsE3tvi3lXv8qpWvKSqFHJ+bipWqhr4+JL5mUkuuYQvvX+IHdP8H6tQkQv1BsXZ6QnQ6Xx/zr5o0UTl/q5DNV4re/rc2wU4WW1bTxQCePSm+ZotmgghcP+1s5X0yJrGTqxVVcgi3+SOwNuRU9Dfsmak/db7rQABSCmz+/oCcFSL8QSDg366sdJBpxO4YqVz1fv9reVu6+BotljxxOv7YOq2XS8+2oiffHO2W67tKXeodukfqWj2yVbNNDSsQkV9UQfevp7f7TA/Mwkp8eEAbKl73qhC9eXeCny4/YRyfMMF0zBvmrYf9EwcE4Xrz8tQjv/z9TEcrWAVKl/mjsDb8VM4oZ/HHec9kyxLPsVqlSjy042VapcuTVNqpda3dOHTXe6Z1P/x+RGXKiYPXDfX59oy9zQ9LQ7nzBuvHK9df5ir3v6LVajIhdlidfmUMsfNjV88RacTuGCRM+x4d0u5R+elM3Xt+O2/8pXj7MnxuPXi6R57v+G4/vxpSkqnxSrx3NsF3I/jw9wReDt+Euf387jj/AE3vBf5uPKqViXHTCeArEn+GXjHRYW6TOqvf1oy6tKCpaeaXBrlXLx4os+mmPR088WZyv1jp1u46u2/WIWKXBw+0aRUBTEadMiaFKfxiIbu8mVpStOzUzVt2HnIM3tQLFaJX72+D60dtt9tEWEGPHbzfBj0vpGtG2rUu3xyurekFlsOVmk4IhqIO35qtgJoApAuhJjbx+PX2G8/cMN7kY8rOO78yHLq+BhEhvl+45z+XH/+NOhUnSy/2DvyerFtnWY8/Pc9MFucG3Luuca3qpgMJH18DFe9AwOrUJGLfFUZwaxJcTCG6DUczfCMT4rE8lnOxYu3Nhz3yPv876clLuk49187G6lJkQO8wvuWzUpx2Y/z/LpCt6VIknuNOvCWUpoAPG8/fEEIofw0CiHug23lZKOUcq/q/N1CiGIhxNOjfX/yLQU9Nlb6swnJkTgv17nq/df3i9FpGv6OcSklfvevfJxQbcj5f9fP84lGOcNx80Wuq94b87nq7Yd8tgoVK1BpQx1Q5vh4GcG+fHP1FOX+jqJql1K27nDwWD3WflyiHJ+fm4oLVRs7fcndV2Uri0Unq9vwjqqVPfkOd31O8iSAnQCWASgVQvxbCLEDwDMAagDc0uP5SQCmAxjX4zyEELcJIXbYX/+R/fQ4xzn7V39pLaSxA6pJ3B83VvZ080WZ0NtnsqqGDvzj8+Hvyf3vxjJ8ruqudsMF01xKQPmL9NQYnK0q4bX2Y656E/kzKaXLnO0vGyvVcqcnKV12AeDNz4+47drNbSY8stZZOnBcYgTu/7bvZmGlj4/BGlU53LUfH0Zzm0nDEVFf3BJ4Syk7AZwN4AnYVlKugO2jytcAzJdSHhvG5SYAWGz/cgTYRtW5xQBi3DFucq+Gli6Uq1YbcjL8b/Wkp7SUKFx7trOs8Rufl6KscugFerYcrMRzbx9UjudNS/SZDTkjcctFzrEf5aq3P/LZKlSsQOV95VWtaLIHZkIAs/1kY6WaEALXneus6rF+50mcrm0b4BVDI6XEk2/sV/o46HUCj900H1Hhvv1J5a2XzlBSPFvau7F2fckgryBvc9vOACllh5TyESllhpQyVEo5Tkp5s5SyVy6hlPIxKaWQUt40wGMDfW1w17jJfdQrJ0mxoX7XOKc/N1+UiYToUACAqduKR1/dO6QWxfuP1OGRtXuVxhTJcWF4/OYFPrMhZyR6rnq/ur6Eq97+hVWoSLG/1JnfPXVctN+lvzlcuHgCxiU6q3q8/mnpqK/5nw3HseWgsyPm7ZfP8Is/TBKiQ3HjhdOU43c2HXfLHyLkPv4bAZDPUW/SmTM10e8a5/QnMjwEv7guRzkuPdWMx1/bp3z82JcdhdW474Ud6DTZAvSIMAOeuWsxkmLDPD5eT1Oveh+paOaqt39hFSpS7FMF3lrXox4Ng16HGy5wBpsfbT+BkpNNI75eXmkdXlhXqBwvnTnGZVXd131z9VSlxrnZIvG3j9hUx5cw8Ca3cdmkk+H7KwPDsXLOWFyzyrmJZ8P+M3jw5V1oae92eZ6p24K/fViMn77oDLqNBh1+fVsuMlJjvTpmT0lPjcHquVz19lOsQkUAbKkU+0pqleP5mf6dGnjx4olIS7Hlelsl8OxbB0dUy7qitg2/fGW3UoEqKTYMD90wzy+6eTqEhuhx2yXOBZJPd5/CkYqR/yFC7sXAm9yivdPsssLgj7vjB/Pjq7OxNHuMcrzlYBWuffxLvLCuEO9tLceL7xXh2se/wtr1JXDM92FGPf5w12IsyhrTz1X90y2qut5HKpqxWfWRLPkuVqEih/KqVtS3dCnH8zL8d8UbAEIMOtx7tbNEa/7Rery7ZXgZU02tJvzsxZ1K3rvRoMOvv5+LeHuqoT+5cPFETBlrK04kJfDS+8Uaj4gcGHiTWxSVNSipF5FhBqSnBt7+V4NehydvzcWK2c66sY2tJvzji6P47T/z8cZnR5SNOACQmhSBl+5bgdzp/lfBZDAZqbFYleP8Pry6voSd0vwHq1CRy2p3RmqMz3fQHYol2WNcmpL9z38LcfzM0PYJt7R3457nt6Os0lkg4Jffm4tZU/zz01u9TuD2y2cox9sKqrD/SN0AryBvYeBNbrFfld89e2qCUoIv0ISHGvD0DxbijjVZCDP23WhCrxO4ZtUUvPrAKmRODIz0kr7crMr1LjnZxE5pfoJVqAiw5TE7zM/079VutZ9/ew7i7H9EdHVb8POXdqK+uXPA19Q0duLH/7PN5VPbWy7KxPkL+9uD7B9Wzhnr0k/jxfeKuEDiAxh4k1vkH1E3YfDPFYKh0usEbjh/Gt5+/Fzcc80srJ47DvOmJeKceeNx95Uz8d9ffQP3fWu2z5edGq3MibEuq0trPz7MSd1PsApVcJNSYl+pc8V73rTASQ1MjA3DQ9fPU44rattx95+2oaKfyh57Dtfg+7/fhMOqoPvac6bi1kv8t+yrgxACd66ZqRwfPNaArQVcINGa//bzJp9htlhRWObsWDknAPO7+5IQE4Zrz57qUuc72NxyUSY2H7Dldx8+2YRtBVVYrkrFISLfU1bZioYWZ/3ueQHQc0Ft2awU3HVFFv7y7iEAtv/eG3+9Ad89bxrOmT8e0REhOFbRjPe2luPLfaddXnvtOVPx46uyA6Yq17xpiViaPQbbC6sBAC++dwhLs1MC9lNpf8DAm0at5GSTUsEjxKDDzMlxGo+IvGV6WhyWz0pRVlH+/nEJls1KCZhfWkSBqGd+d0yk/+d39/Tdb2Sgy2TF3z+2ldJr77LglQ+L8cqHfW8y1OsE7r1mFq5WVa8KFHeuycKOompICRw/04JPd53ExUvStB5W0GKqCY3aXtUknpUWh9CQvnOfKTDdourEWXyiUVlZISLfpE4zme/H9bsHIoTArZdMx2M3z0dM5MBpf9NSY/C3n58VkEE3YNsMf15uqnL8yoeHh9QEjjyDgTeNmjrwXjA9MCdx6l/WpDiXMovM9SbyXVarDNiNlX05P3cC/u+Rc3DLRZlIS4mC48O4cKMey2al4Mlbc7H2gVWYHsAb4QHgB5fOgEFv+4+vaujAus1l2g4oiDHVhEal22x12Vi5IMAncerbrRdPV1a6i8obsbOoBkuyA6t2OVEgKK1oRmOrLb9bJwKv2Vlf4qJCcdulM3DbpTNg6rag22xFRJghqFLixidF4ooVk/H2xuMAgNc/KcWlS9MCvgiAL+KKN41KwfEG5SMrY4jOpXQRBY+Zk+OxZKYz0P77eq56E/miXYecqWBZk+MRExF4+d0DMYboERkeElRBt8NNF2UiItSWCtrUZsI/vjii8YiCEwNvGpW9JTXK/Zz0BBiZ3x201N0sC483YHdxzQDPJiIt7Dzk/He5OCvwmntR/xKiQ/GdczOU439/dQy1TQPXOCf3Y+BNo7L3sDq/m5N4MJs1JQGLVL/I137MbpZEvqSjy4wDqmZni7OYDhZsvn1uutJgqNNkwavrSzQeUfBh4E0j1tFldqnfncv87qB3q6rCyYFj9S5/mBGRtvJK62C22P4YjgwzIGsSS78Gm8gwA26+yPnp5Ptby3GyulXDEQUfBt40YvlH65VJPCrcENDt0WloZk9NQK6qss3fWeGEyGfsUqV/5U5PgkHPECAYXbFiMsYnRgAALFaJlz/ou7Y5eQb/1dGI7T3snMTnZnASJxt1Xe/8o/XYpypdRkTaUW+sXMQ0k6AVYtDh+5fOUI6/3HcaxScaNRxRcGGkRCOm3qSTy/rdZDc3I9GlNvBae+c4ItJOVUMHyiqdKQXcWBnczstNxbTUGOX4xfeKNBxNcGHgTSNS3dCBIxXNyrG6lBzRraoKJ3mldS5NlojI+7YXVin3U5MiMD4pUsPRkNZ0OoE718xUjncX17p8IkKew8CbRmRHkfMfaGpSBCaO4SROTvOmJWHetETl+MV3i5jrTaShrQedgfeyWSkajoR8xeKZyZivnqffOwSrlfO0pzHwphFRr54szU4JymYENLDbL3PmEBaVN2Jj/hkNR0MUvDpNZuxW7clZMXushqMhXyGE66r34ZNN+GJfhYYjCg4MvGnYus1W7FaViVvK1uDUhznpiS6/4F96vxhmi1XDEREFpz2Ha2Hqtv3biwwzYG5G4iCvoGCRPSUeq+eOU45ffPcQOk1mDUcU+Bh407AdOFaP9k7bP0xjiA7zp3FjJfXtjstnQGf/MOREVSs+2nFS2wERBaHNByqV+4uzxiDEwF/95HTnmiwY9LaJuqqhA//84qjGIwps/NdHw7a9wJlmsmBaEkKNbBNPfZs6PgYXLZ6oHP/9o8NcTSHyIqtVYptqzl4xh/nd5GrimCh8a/VU5fjNz4+guqFDwxEFNgbeNCxSSmxSrZ4sYZoJDeK2S2fAaF9hq23qxFsbjms8IqLgUXyyEXXNXQAAnQCWzmTgTb3ddFGmSyv5v7C8oMcw8KZhOXa6Badq2pTjs3LGDfBsIiAlPhxXr5qiHP/vp6Wob+7UcEREwWNDnnNT8+ypCYi1B1dEalHhIbj98izl+LPdFTh4rF7DEQUuBt40LBv2OyfxrElxSIkP13A05C9uOH8aoiNCAABtnWb8lS2KiTxOSomv9p1Wjs+eN17D0ZCvu3RpGqZNcDbVee7tApYX9AAG3jQsG/Y7J3H1TmiigcRGGXHbJc5W8h9uP8EWxUQeduhEI07XtQMAhGDgTQPT6wTuvWa2cnyovBEf7Tih4YgCEwNvGrKT1a04erpFOWbgTcNx5crJmDIuGgAgJfDsWwfZVIfIg77a61woyUlPRHJcmIajIX8wb1oizlH9gfb8uiLUt3RpOKLAw8CbhkydZpI+PhoTx0RpOBryNwa9DvdeM0s5PnisAZ/tZrMGIk+QUuJLVZrJufO52k1Dc8812YgIMwAAWtq78fw7hRqPKLAw8KYhU+cKruJqN43AwhnJOCvH2VTnhXeL0NbRreGIiAJTYVkDquwl4XSCn1DS0CXHhbt0Hv5k1ynsKa4Z4BU0HAy8aUiOn2nB4ZNNyvG581M1HA35sx9dle1SXvCl9w9pPCKiwPPJrlPK/bkZiUiMZZoJDd1VZ03BjLQ45fj3/z6Arm6LhiMKHAy8aUg+2eXsODh9YqySq0s0XKlJkbj+/GnK8Tuby1i2isiNurot+FyVxnXhookDPJuoN71O4BffmaN0Hj5Z3YZXPy7RdlABgoE3DcpqlfhUtXpy4aIJGo6GAsH152dgyljnRsvf/CMf3WarxqMiCgybD1SixZ7CFWbU42zmd9MITE+LwzfPVne0LOUiiRsw8KZB7SutRXWjreGJXidwXi7TTGh0jCF6PPDdHAj7asrxyha88VmptoMiChAfbXeWgDtn3nhE2jfKEQ3XDy6dgQnJkQAAqwSefCMPHV1mjUfl3xh406A+2OacxBdlJSMhhrmCNHqzpybgqpWTlePXPilx2UdARMNX1dCB3aqNcJcsZZoJjVx4qAEP3zDPJeXkxfe4L2c0GHjTgOpbuvB1nrOayaVL0zQcDQWaOy7Pwhh7bWGzReLx1/aiy8QNPEQjtW5TGRzNBscnRSAnPVHbAZHfmz01Add9I0M5fnvjcew8VK3hiPwbA28a0IfbT8Bssc3iSbGhWDln7CCvIBq6yPAQPHTDPOW4rLIVL7xbpOGIiPxXl8mC97aWK8dXrZwMnWOpkmgUbrtkOtLHO4sqPP7aPtTYU1BpeBh4U78sVol3N5cpx5cvnwSDnj8y5F6505PxnXPTleO3Nx7HtoIqDUdE5J8+31uBpjYTANumykuX8RNKcg9jiB6P3jQfxhBbDNDYasIja/fAbOGm+OFiFEX92nKwEpX1tgYMep3AmuWTNB4RBarbL5uBjNQY5fjx1/fhdG2bhiMi8i9SSry14ZhyfOGiCYiJMGo4Igo0Gamx+Mk3ZyvH+Ufr8bcPD2s4Iv/EwJv6JKXEG586q0ysnDMWyXHhGo6IApkxRI/HbpqP0BA9AFub4gdf2c18b6Ih2lZYjdJTzcrx1aumaDgaClSXL0vD+Qudlc3+97NSfLm3YoBXUE8MvKlPe0tqUVTeqByrG54QecLU8TF44Loc5bj0VDN+/38HIKXUcFREvk9KidfWO5ubLJ+VgvTxMQO8gmhkhBD4+bdzMCklSjn3xBt5KCpv0HBU/oWBN/VJXVN54YxkZE2KG+DZRO5xwaIJuEa1UvfxzpN48/MjGo6IyPftLq5BYZkz8Ln5okwNR0OBLiLMgN/dsQjRESEAAFO3Fb94aReqGjo0Hpl/YOBNvewtqcXu4lrl+IYLuNpN3vOjq7IxZ2qCcvzie4dcOqcSkZPVKvHyB8XK8aKsZMycHK/hiCgYTBwThV9/fyH09qo5dc1duO/5HWhs7dJ4ZL6PgTe5sFolXlhXqBznpCdg/jTWgSXvCTHo8OsfLERqUoRy7qk387BH1RSEiGy+2FvhkhZ468XTNRwNBZMFmUm4/9tzlOPjlS2474UdaOvo1nBUvo+BN7n4Yl8Fik84uwf+8MqZEIJ1YMm7EqJD8ewPlyAuylaVwWyR+MVfdyGvtHaQVxIFj06T2aWL4Oq54zBb9WkRkaetWT7JJbWp+EQT7n9xJ9vKD4CBNylaO7rx/DvO5iVnzxuHWVM4iZM2JoyJwu/vWKxUOukwWfDTv+zEvhIG30QA8NonpUperUEvcNcVMzUeEQWj2y6Zjm+udu7NyT9aj3v+vB3N7SYNR+W7GHiT4sV3i1DbZOtEFWLQ4Y7LszQeEQW77Cnx+N0di5SmDZ324Ht7IRvsUHA7fKIR/1BtPP7m6qmYkByp4YgoWAkhcM/Vs3DJkonKuYLjDfjhs1uVmIKcGHgTAGBfSS3WbXG2Gr7pwkxMHBM1wCuIvGPhjGT84U7nyndXtwU/f2mXS1dVomBi6rbgqTf3w2K1ldocnxiB2y5hbjdpR6cTeOC7c3HFCmejvaOnW/CDP2xGycmmAV4ZfBh4E+qbO/HYa3uV4/Tx0fjeeRkajojIVe70ZDxz12KEG23Bt8Uq8bv/O4Dn3i5At5ktiym4/OntAhypcDbLeeC7OQgPNWg4IiJbh+uffXsOblD1/ais78Dtz2zBF2yyo2DgHeTMFisee20faptsJYAMeoFffm8eQgz80SDfMj8zCX+5bwWSYsOUc//5+hjuenYrztS1azgyIu/5eMcJl08nrzprMnKnJ2s4IiInIQTuWJOFH1+dDXulQXR1W/DI2r145t8H0GnipktGV0FMSonf/98B7Dns3Kz2o6uy2SyHfNb0ibH4289WYlqqsytfYVkDbnp6I9bvPMkulxTQdh6qxm/+ma8cZ02Kw4+vytZwRER9+/Y56Xjmh0uUJjsA8N9NZbjp6Y0oKgvuLpcMvIOUlBJ/ee8QPth2Qjl37vzxLl0DiXzRmPhw/PX+FbhsWZpyrqWjG0/8bx7ufX47TtW0aTg6Is/IP1KHB1/eDbPF9sdlbKQRT92WC6N97wORr1mcNQZ///lZyFAtlJyobsMP/rAZv/9XPppag7PqidsCbyFEuBDiV0KIEiFEpxDitBBirRAidQTXihdC/EkIUS6E6LLfPieE4FKsG1isEr/71wGXHfE56Ql46Pp5rNlNfiHMaMCD352LR26cp+R9A8Du4lpc98RXePatg6hvYQe1/nC+9i+bD1Tinue3o9NkAQCEG/X4w52LMTYhYpBXEmlrQnIk/vazlfjueRlwhBdWCazbUo5vPf4l/vnFkaCr+e2WwFsIEQbgKwAPA4gC8B6AkwBuBpAnhJg6jGslAdgF4McAzADeBdAC4B4AO4UQLCw9CvXNnfjpX3bgva3OHMH08dH47R2LEGrkygn5lwsXTcSbD52NpdljlHNmi8RbG47jW49+geffKURlPfO/1Thf+w+LVeLV9Yfx4Mu7YOq2bSIOMejwm9sXIXsK28KTfzCG6PHDK2bihXuXIy3FWS2tpb0bz68rwtWPfIE3PitFc1twrIC7a8X7IQBLAGwHkCmlvFZKuRjATwEkA1g7jGs9ByADwDsAptuvNQvAnwFkAvijm8YcVKSU+Grfadz49EbsOuRsvT1rSjxeuHc5YiKMGo6OaOTGJUbgD3cuxq9uWYCU+HDlfHuXBf/88ii++eiX+H9/242tBVUwW1gBBZyv/cLRimbc/dxWvPLhYdirBiIyzIBnf7gEC2dwMyX5n7kZiXjjl6tx95UzERHmrMLT2GrCi+8dwuW//Ay/en0f9h+pg9UauPt1xGg3IwkhjACqAcQCmC+lzOvxeD6AOQBypZR7+7iE+rnjAJyCbeUkTUpZpXosFLZVmQQA46WU1aMcd+HMmTNnFhYWjuYyPk9Kib2Ha/HaJyXYV1rn8tjquePwyI3zEGb0bhkqs9mMLVu2KMcrVqyAweD5MWj1vuQ9Xd0WvLOpDK9/WoLmtu5ej8dFGXH23HFYkp2CBZlJLpO/1rKzs1FUVFQkpfTYbjl/nK+DZa52OFndijc/P4KPd5xU6nQDtlrdv7l9ITJSYzUcHZF71Dd34h9fHMU7m8rQ1W3p9XhSbBhWzx2Hs+aMxeypCT73ifxo5mt3/NZZDtskfrTnJG73NmwT+WUABpzIAVwI2yr8ZvUkDgBSyi4hxAcAbgFwMYDXRjnugFbd0IEv9lbg092nUHqq2eWxEIMOP7oyG1evmsycbgoooSF6fOfcdFy+fBI+3H4Cb319DKdVpQYbW01Yt6Uc67aUw6AXmD01AbOmxGPmpHjMnByH5LjwAa4eEDhf+6C2TjM2HziDz3dXYMehavRcD/vGglT8/DtzEBUe0vcFiPxMQkwYfnRVNr57Xgb+8/UxfLCtHA0tzlST2qZOvL3xON7eeBwhBh1mTYnHvIxETE+LQ+bEWIyJC/Pb+MUdgXeO/XZfP487zs9x07VuGeK1gkZrRzfKKltQVtmKorIG5JXWobyqtc/nLp05Bvd+cxa7UlJAiwwz4Nqzp+KaVVOwraAKn+w6ia0Hq2BSNdsxWyTySuuQp/okKCYyBGljopCWYvtKiQtHUlwYkmJtX5E+tEI+QpyvNdbVbcHJ6lYcP9OKkpONyCutw+GTTS6r2w6pSRG495pZWD57rAYjJfK8hOhQ3HF5Fm69eDo25Z/B+9vKsfdwLdT/HLrN1l5zdWykEZPHRiE1KRLjkyKQmhSJMfHhiI82IiEmFNHhIT4bmLvjt4ijptepfh53nJ/Uz+OeutagOros2FFk/wRUAhK2/9NSAsr/cymV+1JCqRPsfLzH61Q/LOrnOs5LOC+uPtfX6yxWiU6TBZ0mC7rstx0mC1rau1Hf3In6li7UNXehpb33R+o9LcpKxvfOy8CCzCSf/WEkcje9TmDlnLFYOWcsWtq7sSn/DHYUVWPXoRq0dPT+d9Pc1o2C4w0oON53ndnQED2iIwyIDAtBVEQIosNDEBluQFiIHsYQPYwhOhgNOhgNzvshBh10OgG9TkAIx62txbJO2L90QHunV3b2++V83dFlwU71SvAg87Uyt6rm78Hmapd5XpmkXY97vcb5NEgp0WWyorPbbJu3uyzo7LagrcOM+pYu1Dd3oq65C01tpl4r2j2lpUThe9/IwPkLU1kukIJCiEGHcxek4twFqWho6cLmA5XYmH8G+0vr0GHqnYrS1GZC/tF65B+t7/N6Br1AfHQooiNCEB5qQESoARGhekSE2e6Hhuhh0OtgMAiE6HX2+zoY9I5jAb1OB6GDMk8LAeW2fRSVWNwReDuWTvsrHeAoqhvt5WsBsOUH9vNQemV9O+57YcdQL+V3UpMicF7uBJyXm4op44b8LSMKSNERIbhkaRouWZoGs8WKQ+WNOHisHkVljSgsa0BVQ8eg1+jqtiWnvdgAAAlZSURBVKCryaJ0enWnoby/G/jsfD3YXP2T5wN3rgZsn7asnjse5+WmYl5GInQ6LpBQcIqPDsXlyyfh8uWTlLl6X0ktCssaUXqqaUhzpdkiUdPYiZrGTo+Msap+5PO1339uSjYRoXqkpUQjfXw0cjISMW9aIsYnRnB1m6gPBr0Os6cmYPZUZ7W7hpYunKhqxYnqVpyoasWpmjbUNnWhprEDdc1dfaYCEI2EQS+QlhKFKWOjMWtKPOZOS0JGagz0DLaJXPQ1Vze1mnDkdDNO1bThdG0bKmracbrONl83tPj+XO2OwNuRTNxfJf9I+22Ll68FAOhvx6kQojDEoJs5cUwkhPOkcl8IQDkSUAq/C9trlfvOx4XqcecDfb0OAi7vY38m1DGyEAI6nUCYUY+wED3CjHqEGm23kWEGJMaGISE6FIkxoUiKDUOyH280IPIF8dGhiI8ORU5GYq/HrFaJxtYuNLSY0NrRbf8yo7WzG63t3ejqtsLUbYHJbLV9dVvQbbaiq9uKbrMFVilhtcJ+K2230nZdKSUsVomiEB28sObts/P1YHP1hORI+7ysPDDgfO18TAwyVwvVNZyvgcvc7bx+z3lamcOFQGiIzjZnG/UIMxoQZtQj3KhHfIxtrk6MCUNCTChS4sNh0LNxNNFIxEYZsSAzCQsyk3o9ZrVKtHZ0o77FFoS3dpjR3mlGR5cZ7V22+21dZpi6rTBbbF/dZqncN1skus22+455Wlrtt9I2d0uJUc3X7gi8HT3HJ/TzuON8eT+Pe+pag5qQHIl/P3quOy5FRAFMpxNIiAlDQkyYx94j+81INI2qSOqQ+OV8PSE5Ev95jHM1EQ1MpxOIiTQiJtKIyWM9l2Kb/Y+Rz9fu+JM73347v5/HHecPePlaRETkivM1EZGG3BF4bwXQBCBdCDG3j8evsd9+MIRrfQLACmClEGKM+gF7Q4bLAFgAfDzy4RIRBS3O10REGhp14C2lNAF43n74ghDCkdcHIcR9sNVw3ajugiaEuFsIUSyEeLrHtc4A+BcAI4C/CCHUqTC/g62d8Zuj7VpJRBSMOF8TEWlr1C3jAUAIEQZgA4DFAM4A2Axb7dbFAGoALJFSHlM9/zEAjwJ4XUp5U49rJQHYASAdwFEAewBkA5gFoNR+rb4LNw5vzM2hoaHR6enpo70UjUBbW5tyPzIycoBnBsb7Eg3m6NGj6OrqapFSxnjyffxtvuZcTUS+ZjTztVvKCUopO4UQZwN4EMB1AK4AUA9bm+CHpZT9NVjo61q1QohFAB6zX+dKAFUA/gfAo1LKRneMGUB7V1cXioqKTrrper7E8RvqqKajCA78XntXIH+/J6L/mthu44fzNedqchd+v70rkL/fI56v3bLiTb7F0Yiiv/Jc5D78XnsXv98USPjz7F38fnsXv999YyFRIiIiIiIvYOBNREREROQFDLyJiIiIiLyAgTcRERERkRcw8CYiIiIi8gJWNSEiIiIi8gKueBMREREReQEDbyIiIiIiL2DgTURERETkBQy8iYiIiIi8gIE3EREREZEXMPAmIiIiIvICBt5ERERERF7AwDsICCFWCyHkAF87tB6jvxFChAshfiWEKBFCdAohTgsh1gohUrUeW6ARQmwY5Of3Qq3HSOQOnKs9g/O193C+HpxB6wGQVx0FsKWf8zREQogwAF8BWALgDID3AEwGcDOAS4UQS6SUx7QbYcD6L4DWPs5XeHsgRB7GudpNOF9rhvN1Pxh4B5ctUsqbtB5EAHgItkl8O4DzpZStACCEuA/AMwDWAlit2egC1/1SyjKtB0HkBZyr3YfztTY4X/eDqSZEwyCEMAK42374Q8ckDgBSyj8COABglRBigRbjIyIiG87X5IsYeBMNz3IAsQCOSinz+nj8bfvtZd4bEhER9YHzNfkcppoEl2lCiKcBJAKohS2H8BMppVXbYfmVHPvtvn4ed5yf44WxBJtbhRCJAKwASgC8K6U8ofGYiDyBc7V7cL7WDufrfjDwDi7L7F9qB4UQV0spS7UYkB9Ks9+e6udxx/lJXhhLsHmox/EfhBBPSCmf0GQ0RJ7Dudo9OF9rh/N1P5hqEhyaAPwetg0mifavcwHsADAbwGdCiFjthudXouy37f083ma/jfbCWILFJgDXA0gHEAFgOoD/B8AM4FdCiHs0HBuRO3Gudi/O197H+XoQQkqp9RhoEEKIdQCyhvmyG6SUuwa5rh7A1wBWAvillPLpEQ4xaAghXgbwfQBPSSl7/kUPIUQGgFIApVLKTG+PL5gIIc4H8CmARgDjpZQdGg+Jghznat/C+dp3cL52YqqJf5gC21+NwxEx2BOklBYhxG9hm8wvAMDJfHCOXfH9fX8j7bctXhhLUJNSfiaE2AMgF8BiABu0HRER52ofw/naR3C+dmLg7QeklHM9eHlHvuA4D75HIHFsDpnQz+OO8+VeGAvZfn5zwZ9f8gGcq30O52vfwvkazPEmIN5+2zbgs8gh3347v5/HHecPeGEsxJ9fCh78WR8+zte+hT/DYOBNwNX22/7KLZGrrbBtgEoXQvS1unWN/fYD7w0pOAkhkmH76B3gzy8FPs7Vw8f52kdwvnZi4B0EhBD3CiEm9jgnhBC3A/gJAAngRU0G52eklCYAz9sPXxBCOHIEHS2I5wDYKKXcq8X4Ao0QYpkQ4gr75jL1+ckA1sGWo/m+lLK/cmFEfoNztXtxvvYuztdDw6omQUAIUQZbLts+AMcBhMFWmmoKbMXt75FSPt/vBciFECIMto0hiwGcAbAZtjqwiwHUAFgipTym2QADiBDiJgCvAqiE7ee3Ebbv9QLYfo4LAZwjpazWaoxE7sK52v04X3sP5+uhYeAdBIQQPwJwPoBsAGMAhMA5Af2PlHK3hsPzS0KIcAAPArgOwEQA9QA+AfBwsP81705CiCwAP4Ltl+RE2HIE2wAcAvAWgBeDuSwVBRbO1Z7B+do7OF8PDQNvIiIiIiIvYI43EREREZEXMPAmIiIiIvICBt5ERERERF7AwJuIiIiIyAsYeBMREREReQEDbyIiIiIiL2DgTURERETkBQy8iYiIiIi8gIE3EREREZEXMPAmIiIiIvICBt5ERERERF7AwJuIiIiIyAsYeBMREREReQEDbyIiIiIiL2DgTURERETkBQy8iYiIiIi8gIE3EREREZEXMPAmIiIiIvKC/w8RYaIgHNbLUgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 750x450 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, Ax = plt.subplots(2, 2)\n",
    "ax = Ax.flatten()\n",
    "\n",
    "for i, d in enumerate([0.05, 0.09, 0.15, 0.22]):\n",
    "    density_criterion = d\n",
    "\n",
    "    xlimit = (-8, 8)\n",
    "    x = np.linspace(*xlimit, 1001)\n",
    "    pdf = multigauss(x, sigma=[1, 1.5], mu=[-2, 2])\n",
    "    cuts = determine_cuts(x, pdf, density_criterion)\n",
    "    density_criterion_ = np.full_like(x, density_criterion)\n",
    "    dense = np.maximum(pdf, density_criterion_)\n",
    "\n",
    "\n",
    "    ax[i].plot(x, pdf)\n",
    "    ax[i].plot(x, density_criterion_, linestyle=\"--\", color=\"k\")\n",
    "    ax[i].fill_between(x, density_criterion_, dense)\n",
    "    for cut in cuts:\n",
    "        ax[i].axvline(cut, color=\"gray\", alpha=0.5)\n",
    "\n",
    "\n",
    "    ax[i].set(**{\n",
    "        \"xlim\": xlimit,\n",
    "    })\n",
    "    \n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we operate on data sets (in maybe high dimensional spaces), however, we normally do not have a continuous description of the density, that we can directly use. Instead we may have sample points from an underlying (unknown) distribution. To apply a density based clustering on them, we need to approximate the density in some way. For this approximation, quite a number of different possibilities exist, which provide a different notion of what density is or how it could be estimated from scattered data. To illustrate this, let's draw samples from the above used bimodal distribution to emulate data points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T11:53:24.610054Z",
     "start_time": "2020-06-19T11:53:23.646766Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "distribution = multigauss_distribution(\n",
    "    sigma=[1, 1.5], mu=[-2, 2], a=-8, b=8, seed=11\n",
    ")\n",
    "samples = distribution.rvs(size=20)\n",
    "\n",
    "xlimit = (-8, 8)\n",
    "x = np.linspace(*xlimit, 1001)\n",
    "pdf = multigauss(x, sigma=[1, 1.5], mu=[-2, 2])\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, pdf, color=\"gray\", linestyle=\"--\", alpha=0.5)\n",
    "\n",
    "ax.set(**{\n",
    "    \"xlim\": xlimit,\n",
    "    \"xlabel\": \"$x$\",\n",
    "    \"ylabel\": \"probability density\"\n",
    "})\n",
    "\n",
    "ax.plot(samples, np.zeros_like(samples), linestyle=\"\",\n",
    "        marker=\"|\", markeredgewidth=0.75, markersize=15) \n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the following we look into how density is deduced from points in terms of the following methods:\n",
    "    \n",
    "  - DBSCAN\n",
    "  - Jarvis-Patrick\n",
    "  - CNN\n",
    "  \n",
    "In general, point density can be expressed in simple terms by the number of points $n$ found on an area $x$ $\\left(\\rho = \\frac{n}{x}\\right)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DBSCAN"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In DBSCAN local point density (so the density around a sample point) is accordingly expressed as the number of neighbouring points $k_r$ with respect to a neighbour search radius $r$.\n",
    "The density criterion is formulated as such: Points that have at least $k$ nearest neighbours in their neighbourhood $r$ qualify as part of a dense region, i.e. a cluster. Points that fulfill the density criterion can be also referred to as *core points*. Additionally it is possible to describe points that do not fulfill the density criterion themselves but are neighbours of those core points as *edge points*. For our samples above this could look as the followed if we choose the density criterion as $k=1$ and $r=0.5$. To determine the number of neighbours for each point, we calculated pairwise point distances and compare them to $r$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T12:57:51.133188Z",
     "start_time": "2020-06-19T12:57:51.126775Z"
    },
    "run_control": {
     "marked": true
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ True,  True,  True,  True,  True,  True,  True,  True, False,\n",
       "        True,  True,  True,  True,  True,  True, False,  True,  True,\n",
       "       False,  True])"
      ]
     },
     "execution_count": 179,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Density criterion\n",
    "r = 0.5  # Neighbour search radius\n",
    "k = 1    # Minimum number of neighbours\n",
    "\n",
    "n_neighbours = np.array([\n",
    "    # Neighbour within r?\n",
    "    len(np.where((0 < x) & (x <= r))[0])\n",
    "    # distance matrix\n",
    "    for x in np.absolute(np.subtract.outer(samples, samples))\n",
    "])\n",
    "\n",
    "dense = n_neighbours >= k  # Point is part of dense region?\n",
    "dense"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T12:58:14.716459Z",
     "start_time": "2020-06-19T12:58:14.478291Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xlimit = (-8, 8)\n",
    "x = np.linspace(*xlimit, 1001)\n",
    "pdf = multigauss(x, sigma=[1, 1.5], mu=[-2, 2])\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, pdf, color=\"gray\", linestyle=\"--\", alpha=0.5)\n",
    "\n",
    "ax.set(**{\n",
    "    \"xlim\": xlimit,\n",
    "    \"xlabel\": \"$x$\",\n",
    "    \"ylabel\": \"probability density\"\n",
    "})\n",
    "\n",
    "for i, s in enumerate(samples):\n",
    "    if dense[i]:\n",
    "        c = \"#396ab1\"\n",
    "    else:\n",
    "        c = \"gray\"\n",
    "    ax.plot(s, 0, linestyle=\"\",\n",
    "            marker=\"|\", markeredgewidth=0.75, markersize=15,\n",
    "            color=c)\n",
    "\n",
    "labels = [\n",
    "    (-4, \"1\"),\n",
    "    (-2.8, \"2\"),\n",
    "    (-1.8, \"0\"),\n",
    "    (-0.8, \"3\"),\n",
    "    (1, \"0\"),\n",
    "    (1.8, \"4\"),\n",
    "    (2.8, \"5\"),\n",
    "    (3.8, \"0\"),\n",
    "]\n",
    "\n",
    "for position, l in labels:\n",
    "    ax.annotate(l, (position, 0.02))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case we end up with 5 clusters, that are dense enough regions separated by low density areas. Like a change in the density iso-value as the density criterion for the continuous density function, a change of the cluster parameters $k$ and $r$ will determine the cluster result. Note, that we assigned the labels to the clusters by visual inspection. We will show later how to identify these isolated regions (connected components of core points) automatically."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Jarvis-Patrick"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "### CNN"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Summary on density criteria"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A point is part of a dense region if the point ...\n",
    "\n",
    "  - DBSCAN: ... has at least $k_r$ neighbours within a radius $r$\n",
    "  - Jarvis-Patrick: ... shares at least $c$ common neighbours with a another point among their $k$ nearest neighbours\n",
    "  - CNN: ... shares at least $c$ common neighbours with a another point with respect to a radius $r$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T12:52:43.477733Z",
     "start_time": "2020-06-19T12:52:43.475271Z"
    }
   },
   "source": [
    "## Identify connected components of points"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Classifying points as part of a dense or a sparse region according to a density criterion, is only one aspect of assigning points to clusters. We still need to identify groups of points that are part of the same region. In this context, we use the term *density reachable* to describe the situation where point is directly connected to a dense point. We also use the term *density connected* for points that are part of the same dense region, i.e. they are directly or indirectly connected to any other point in the region by a chain of density reachable points. In other words, it is not enough to know which points are dense but we also need to be aware of the relationship between dense points. When we express this relationship in a graph, the problem of identifying clusters of density connected points comes down to finding connected components of nodes within this graph. For the methods we considered above, points are density reachable if they are neighbours of a dense point (with respect to a radius *r* or one of the $k$ nearest neighbours). In the above example, we where only interested in the information if a point was part of a dense region by checking the density criterion. Let's now construct a density graph instead in which each dense point constitutes a node and each vertex represent the density reachability between two points. We neglect the concept of edge points (points that are not dense but density reachable from a dense point) for the sake of simplicity here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DBSCAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T13:59:03.310823Z",
     "start_time": "2020-06-19T13:59:02.861746Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Density criterion\n",
    "r = 0.5  # Neighbour search radius\n",
    "k = 1    # Minimum number of neighbours\n",
    "\n",
    "neighbourhoods = [\n",
    "    # Neighbour within r?\n",
    "    np.where((0 < x) & (x <= r))[0]\n",
    "    # distance matrix\n",
    "    for x in np.absolute(np.subtract.outer(samples, samples))\n",
    "]\n",
    "\n",
    "n_neighbours = np.asarray([len(x) for x in neighbourhoods])\n",
    "dense = n_neighbours >= k\n",
    "\n",
    "# Construct graph as dictionary\n",
    "# keys: dense points, values: density reachable points\n",
    "graph = {}\n",
    "for i, point in enumerate(neighbourhoods):\n",
    "    if dense[i]:\n",
    "        graph[i] = neighbourhoods[i][dense[neighbourhoods[i]]]\n",
    "\n",
    "G = networkx.Graph(graph)\n",
    "pos = networkx.spring_layout(G, iterations=10, seed=7)\n",
    "networkx.draw(G, pos=pos, with_labels=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T13:56:04.569929Z",
     "start_time": "2020-06-19T13:56:04.548535Z"
    }
   },
   "source": [
    "Once such a graph is constructed, graph traversal algorithms can be used to find the connected components of nodes within the graph. A generic way to do so using a breadth-first-search algorithm could look like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 250,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T14:13:17.940400Z",
     "start_time": "2020-06-19T14:13:17.917328Z"
    }
   },
   "outputs": [],
   "source": [
    "labels = {}                          # Cluster label assignments\n",
    "visited = {k: False for k in graph}  # Node has been assigned\n",
    "queue = deque()                      # First-in-first-out queue\n",
    "current = 1                          # Current cluster number\n",
    "\n",
    "for point, connected in graph.items():\n",
    "    # Source node\n",
    "    if visited[point]:\n",
    "        continue\n",
    "    \n",
    "    labels[point] = current\n",
    "    visited[point] = True\n",
    "    \n",
    "    while True:\n",
    "        for reachable in connected:\n",
    "            if visited[reachable]:\n",
    "                continue\n",
    "        \n",
    "            labels[reachable] = current\n",
    "            visited[reachable] = True\n",
    "            queue.append(reachable)\n",
    "        \n",
    "        if not queue:\n",
    "            break\n",
    "            \n",
    "        point = queue.popleft()\n",
    "        connected = graph[point]\n",
    "    \n",
    "    current += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 251,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T14:13:21.974227Z",
     "start_time": "2020-06-19T14:13:21.961449Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 1,\n",
       " 11: 1,\n",
       " 14: 1,\n",
       " 17: 1,\n",
       " 19: 1,\n",
       " 1: 2,\n",
       " 6: 2,\n",
       " 16: 2,\n",
       " 2: 3,\n",
       " 4: 3,\n",
       " 5: 3,\n",
       " 7: 3,\n",
       " 3: 4,\n",
       " 10: 4,\n",
       " 9: 5,\n",
       " 12: 5,\n",
       " 13: 5}"
      ]
     },
     "execution_count": 251,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 259,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T14:18:15.255407Z",
     "start_time": "2020-06-19T14:18:14.848982Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "networkx.draw(G, pos=pos, with_labels=True, node_color=[x[1] for x in sorted(labels.items())])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 267,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T14:35:24.454757Z",
     "start_time": "2020-06-19T14:35:23.935477Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xlimit = (-8, 8)\n",
    "x = np.linspace(*xlimit, 1001)\n",
    "pdf = multigauss(x, sigma=[1, 1.5], mu=[-2, 2])\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, pdf, color=\"gray\", linestyle=\"--\", alpha=0.5)\n",
    "\n",
    "ax.set(**{\n",
    "    \"xlim\": xlimit,\n",
    "    \"xlabel\": \"$x$\",\n",
    "    \"ylabel\": \"probability density\"\n",
    "})\n",
    "\n",
    "colors = ['#396ab1', '#da7c30', '#3e9651', '#cc2529', '#6b4c9a']\n",
    "for i, s in enumerate(samples):\n",
    "    if dense[i]:\n",
    "        c = colors[labels[i] - 1]\n",
    "    else:\n",
    "        c = \"gray\"\n",
    "    ax.plot(s, 0, linestyle=\"\",\n",
    "            marker=\"|\", markeredgewidth=0.75, markersize=15,\n",
    "            color=c)\n",
    "\n",
    "labels_ = [\n",
    "    (-4, \"2\"),\n",
    "    (-2.8, \"1\"),\n",
    "    (-1.8, \"0\"),\n",
    "    (-0.8, \"3\"),\n",
    "    (1, \"0\"),\n",
    "    (1.8, \"4\"),\n",
    "    (2.8, \"5\"),\n",
    "    (3.8, \"0\"),\n",
    "]\n",
    "\n",
    "for position, l in labels_:\n",
    "    ax.annotate(l, (position, 0.02))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CNN clustering in detail"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "\n",
    "**Note:** This section is currently under developement.\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In practice, one does not necessarily need to construct a density connectivity graph in its entirety beforehand. It is also possible to start from another input structure and explore the connectivity while traversing the structure. We will now show a variant of the CNN clustering procedure, starting from pre-computed neighbourhoods in more detail. For this, we generate a small example data set of 200 points in 2D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 272,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T14:56:04.577428Z",
     "start_time": "2020-06-19T14:56:04.456906Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[], [], None]"
      ]
     },
     "execution_count": 272,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "noisy_circles, _ = datasets.make_circles(\n",
    "    n_samples=200,\n",
    "    factor=.5,\n",
    "    noise=.05,\n",
    "    random_state=8\n",
    "    )\n",
    "\n",
    "noisy_circles = StandardScaler().fit_transform(noisy_circles)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(*noisy_circles.T, \"k.\")\n",
    "ax.set(**{\n",
    "    \"xticks\": (),\n",
    "    \"yticks\": (),\n",
    "    \"aspect\": \"equal\"\n",
    "})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We expect to find two clusters (an inner and an outer ring) in this data set. We will at first compute the neighbourhoods for all points with respect to a radius of $r = 0.5$. Below we show the neighbourhood for the first point in the set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 370,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T16:01:10.549131Z",
     "start_time": "2020-06-19T16:01:10.533740Z"
    }
   },
   "outputs": [],
   "source": [
    "r = 0.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 371,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T16:01:10.958255Z",
     "start_time": "2020-06-19T16:01:10.937630Z"
    }
   },
   "outputs": [],
   "source": [
    "def point_zoom(data, point, ax):\n",
    "    ax.plot(*data.T, \"k.\")\n",
    "    ax.plot(*data[point].T, \"r.\")\n",
    "    \n",
    "    neighbourhood = mpl.patches.Circle(\n",
    "        data[point], r,\n",
    "        edgecolor=\"k\",\n",
    "        facecolor=\"grey\"\n",
    "    )\n",
    "    ax.add_patch(neighbourhood)\n",
    "    \n",
    "    limit_factor = 1.2\n",
    "    ax.set_xlim(data[point][0] - r * limit_factor,\n",
    "                data[point][0] + r * limit_factor)\n",
    "    ax.set_ylim(data[point][1] - r * limit_factor,\n",
    "                data[point][1] + r * limit_factor)\n",
    "    ax.set(**{\n",
    "        \"xticks\": (),\n",
    "        \"yticks\": (),\n",
    "        \"aspect\": \"equal\"\n",
    "    })"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 372,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T16:01:11.184673Z",
     "start_time": "2020-06-19T16:01:11.075476Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "point_zoom(noisy_circles, 0, ax=ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 373,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T16:01:11.233623Z",
     "start_time": "2020-06-19T16:01:11.225387Z"
    }
   },
   "outputs": [],
   "source": [
    "tree = cKDTree(noisy_circles)\n",
    "neighbourhoods = [set(x) for x in tree.query_ball_point(noisy_circles, r)]\n",
    "for i, s in enumerate(neighbourhoods):\n",
    "    # Avoid neighbour self-counting\n",
    "    s.remove(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 381,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T16:04:47.517216Z",
     "start_time": "2020-06-19T16:04:47.489444Z"
    }
   },
   "outputs": [],
   "source": [
    "def check_similarity(a, b, c):\n",
    "    if len(a & b) >= c:\n",
    "        return 1\n",
    "    return False\n",
    "\n",
    "def cnn_from_neighbourhoods(\n",
    "        neighbourhoods, c, yield_iterations=False):\n",
    "    \"\"\"\"\"\"\n",
    "    \n",
    "    n = len(neighbourhoods)\n",
    "    visited = [False for _ in range(n)]\n",
    "    labels = [0 for _ in range(n)]\n",
    "    queue = deque()\n",
    "    current = 1\n",
    "    \n",
    "    for point in range(n):\n",
    "        # Source node\n",
    "        if visited[point]:\n",
    "            continue\n",
    "        \n",
    "        visited[point] = True\n",
    "\n",
    "        neighbours = neighbourhoods[point]\n",
    "        if len(neighbours) <= c:\n",
    "            continue\n",
    "\n",
    "        labels[point] = current\n",
    "\n",
    "        if yield_iterations:\n",
    "            yield (point,\n",
    "                   None,\n",
    "                   current,\n",
    "                   labels,\n",
    "                   visited)\n",
    "        while True:\n",
    "            for member in neighbours:\n",
    "                if visited[member]:\n",
    "                    continue\n",
    "                    \n",
    "                neighbour_neighbours = neighbourhoods[member]\n",
    "                if len(neighbour_neighbours) <= c:\n",
    "                    continue\n",
    "                    \n",
    "                if check_similarity(neighbours, neighbour_neighbours, c):\n",
    "                    labels[member] = current\n",
    "                    visited[member] = True\n",
    "                    queue.append(member)\n",
    "                    \n",
    "                        if yield_iterations:\n",
    "            yield (point,\n",
    "                   None,\n",
    "                   current,\n",
    "                   labels,\n",
    "                   visited)\n",
    "\n",
    "            if not queue:\n",
    "                break\n",
    "\n",
    "            point = queue.popleft()\n",
    "            neighbours = neighbourhoods[point]\n",
    "\n",
    "        current += 1\n",
    "    return labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 382,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T16:04:50.997126Z",
     "start_time": "2020-06-19T16:04:50.984141Z"
    }
   },
   "outputs": [],
   "source": [
    "labels = cnn_from_neighbourhoods(neighbourhoods, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 384,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T16:05:31.014645Z",
     "start_time": "2020-06-19T16:05:30.998323Z"
    }
   },
   "outputs": [],
   "source": [
    "gen = cnn_from_neighbourhoods(neighbourhoods, 5, yield_iterations=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 379,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T16:01:17.885773Z",
     "start_time": "2020-06-19T16:01:17.747201Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[], [], None]"
      ]
     },
     "execution_count": 379,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.scatter(*noisy_circles.T, c=labels)\n",
    "ax.set(**{\n",
    "    \"xticks\": (),\n",
    "    \"yticks\": (),\n",
    "    \"aspect\": \"equal\"\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 378,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-19T16:01:13.495546Z",
     "start_time": "2020-06-19T16:01:13.414172Z"
    }
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'plt_iteration' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-378-6f0a6a5ae5b4>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mplt_iteration\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m173\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0msave\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mTrue\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mo\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m\"initial\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m: name 'plt_iteration' is not defined"
     ]
    }
   ],
   "source": [
    "plt_iteration(173, save=True, o=\"initial\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(173, cdict={1: [173]}, save=True, o=\"initial_assigned\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(173, 8, cdict={1: [173]}, save=True, o=\"candidate\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(\n",
    "    173, 8,\n",
    "    cnn=[98, 100, 69, 168, 27, 113, 115, 85, 26, 187, 60, 63,],\n",
    "    cdict={1: [173]},\n",
    "    save=True,\n",
    "    o=\"candidate_neighbours\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WISkpyeT90tLSkJiYaNG5KfkxASU/xNldv34dX331FdavX48zZ860+nyhUIiRI0di6tSpkEqlNFrFBs6cOYM1a9Zg3bp1uHPnTqvPj4iIQGxsrC6hPXv2bKv7CAQCjB07Fk899RQeffRRmqjPxi5evAiZTIbvv/8eWVlZrTaPCQQCTJ48GQsWLMBDDz3kEDWsjDEMGjTIYB+f1ojFYhw9etSiWi++kx8wxhzmB0AUAKb9KSwsZIQ4Oo1Gww4cOMDi4+OZu7s7a/w3buhHJBKxiRMnsg0bNrCysjK+w3cJSqWS7dixg02YMKHV6wOAderUiSUnJ7MjR44wjUbDOdbJkyfZv//9bxYVFWX0sV577TV26dIlnl69a7t27Rr75JNPmEQiMep69erVi61YscLu35tHjhwx6vU09yOXyy06f2FhYdNjRjFb5hO2PJnFwVLyQ5xIZWUlS01NZQMGDDDqw2bIkCFs1apV7Pr163yH7jJKS0vZu+++y7p27drq9fHx8WFz585lP/30E1Mqla0eW6PRsPz8fPbKK6+wsLCwVo8vFArZ1KlT2e7du5larbbBqydNnThxgr3xxhusZ8+erV4vT09P9ve//50dPnxYLwG2B6tXr7Yo+UlNTbXo/JT8UPJDXExRURFbsGAB8/X1bfUDpnfv3uytt95ip06d4jtsl1JUVMQSEhKMqol78MEH2caNG1lVVZXZ51OpVOzXX39liYmJzM/Pz6i/i48++ojdvn3biq+aGEuj0bDffvuNPffcc8zf37/V6xUbG8u2bdtmV0nr+++/b1Hy8/7771t0fkp+KPkhLuKPP/5gU6dObfVDxcvLiyUmJrLff//dLu8Yndnhw4fZtGnTWr1GgYGB7OWXX2ZnzpyxegwKhYJt2bKFjRkzptU4/Pz82D//+U9WUlJi9TiIcaqqqtjnn3/OBg4c2Or16tu3L0tLS2P19fV8h001P7Y8mcXBUvJDHIxGo2F79uxhcXFxrX6YREREsI8//pjdunWL77BdikajYb/88gsbN26cUXfw69atYwqFwiaxFRYWsoULF7ZaG+Tp6cmeffZZdu7cOZvERfRpa4Pmzp3LPDw8Wrxe4eHhbOXKlay6upq3eKnPjx0kNUYHS8kPcRAqlYpt3bqVxcTEtPgBIhQK2SOPPML27NljV1XirkCtVrPvvvuu1Y6sXl5ebP78+ezIkSO8xVpZWck+++yzVvuHCYVCNmfOHFZQUMBbrISx69evs+XLl7Pu3bu3eL2CgoLY0qVLebnh0Wg0LDo62qzERywWW1wrTckPJT/EiahUKrZhwwbWt2/fFj88AgMD2ZIlS9jFixf5DtnlaDQa9sMPP7TaTBEQEMDeeOMNduPGDb5D1tFoNOzgwYNs1qxZTCgUthj/5MmTeU3YyN1Rglu2bGk1yfD392fvvvuuzWuC0tLSzEp+0tLSLD43JT+U/BAnoNFo2I4dO1j//v1b/NAIDQ1lH330EausrOQ7ZJf0+++/s9GjR7d4jUJCQtiKFStYRUUF3+G26MyZM+zpp59utYll5syZ7OTJk3yH69K0CffIkSNb/dtLTU1lDQ0NNolLpVIxqVRqUuIjlUqZSqWy+NyU/FDyQxxcdnY2Gz58eIsfGBEREeyLL75gdXV1fIfrkoqKitgjjzzS4jXq3bs3+/zzz1ltbS3f4ZqkuLiYvfzyy6xdu3bNvjaRSMSefvppdvXqVb7DdXkHDx5kkydPbvVvccuWLTZpCq+pqTE6AZJKpaympsYq56Xkh5If4qAKCgrYpEmTWvywiI6OZhkZGVa5UyKmu3TpEktMTGyxiSgqKopt2bLFqLl57NmtW7fY0qVLWVBQULOv1cvLi7366qs0RN4OFBQUsNmzZ7f4+TFo0CC2Z8+eNh/1qVKpWFpaGhOLxQbjEIvFLC0tzaqfY5T8UPJDHMyFCxfY3LlzmUAgaDHp2bVrFw1V50lNTQ178803maenZ7PXqFu3bmz9+vVOl5hWV1ezFStWsMDAwGZfe0BAAFu+fLnD1XI5o7y8PPbwww+3mARNmDDBJnN9aTQaJpfLWWpqKnv//fdZamoqk8vlbfI5RskPJT/EQdTW1rJ//etfzMvLq9kPqV69erFNmzbRyC2eaDQalpmZ2eIom6CgIPbJJ584fRPknTt32JIlS5i3t3eLf68ymYzvUAljLCsriw0dOrTZa+Xu7s4WL17M6/B4a6Lkh5If4gB27drFevfu3ewHU6dOndinn35qF5OXuarTp0+3eAfdrl079tZbb9l9R2ZrKykpYc899xwTiUTN/m6kUinNEWQHNBoN2759O+vXr1+z1yo8PJx9++23Dl+rTMkPJT/Ejp0/f77FWZn9/PzYsmXLLFragFimurqavfbaa82OehKJRGzhwoWstLSU71B5dfr06Rb7mHh6erK3337bZhM4kuYplUr21Vdftbjm2wMPPMBOnDjBd6hmo+SHkh9ihxQKBXvnnXeabeISCoVs4cKF7ObNm3yH6tIyMzNbXHR0zJgx7NixY3yHaVdycnLYiBEjmv2d9ezZk+3cuZPvMAm7O7nlP//5T+bm5mbwWrm5ubFXX33VaiOwbImSH0p+iJ3Zt28f69WrV7NfDvfffz/Ly8vjO0yXdvPmTRYfH9/sNQoNDWWbN292+KaBtqLRaNiGDRtY586dW2wKKy4u5jtUwhg7fvw4Gz9+fLPXqk+fPuzQoUN8h2kSSn4o+SF2oqqqii1YsKDFfj3r16+nzsw82759O+vUqVOzd8KvvPIKTSJppPLycrZo0aJmpwIICAhgGzZsoCTSDmg0Gvbtt9+y8PBwg9dKIBCw//f//p/D1AJR8kPJD7ED+/btYz169Gi2iSs5OZnduXOH7zBdWllZWYu1PWPHjmVFRUV8h+mQCgoKWpx9eMqUKVQLZCeqqqrY4sWLmbu7u0PXAlHyQ8kP4VFrtT0jRoxg+fn5fIfp8lqq7QkMDGTp6elUO2EhjUbDvv7662abwgICAtj69evp92wnjh8/zoYNG+awtUCU/FDyQ3jSUm2Pj48PW7VqFTVx8ezOnTtszpw5LfZLKSkp4TtMp1JWVsYef/zxZn/nkydPplogO6FSqdiKFSuancyzT58+7I8//uA7TIMo+aHkh9hYfX09e/HFF5v9cB89ejQ7e/Ys32G6vD///LPZ5DQwMJB9/fXXVAvRhjIzM1usBdq2bRvfIZL/OXHiRLO1QG5ubmzFihV2dyNHyQ8lP8SGzp49yyQSCdX22DG1Ws0+/PDDZof3Um2P7bRWC7RgwQJaIsNOtFYLNHHiRHbjxg2+w9Sh5IeSH2IjGRkZzM/Pj2p77NiNGzfYxIkTqbbHzrRUCxQdHW2TdaeIcVqqBQoLC2NZWVl8h8gY4z/5EYIQJ1dbW4tnn30W8fHxqKqq4jzm6emJlJQUZGVloXfv3jxFSAAgOzsbYrEYP/30k95jI0eOxF9//YV58+ZBIBDwEJ1rmzZtGoqKihAfH6/3WEFBAQYPHoyvv/6ah8hIU/369cPBgwfx5ptv6r1XSkpKMH78eCxduhRqtZqnCO2ELTMtS39ANT/EREVFRWzAgAEG74L69u1LI7nsgEqlYkuXLjU414xAIGBvvPEGUyqVfIdJ2N0RYV9++WWzi6XOnz/faRbedAZ79+5ttsYuLi6O147rfNf88J7QmBQsJT/EBF9//TXz8fEx+Mb/+9//Tutx2YGKigo2efJkg9eoc+fO7JdffuE7RGJAYWEh69+/v8Hr1q9fP3b8+HG+QyT/U1payh588EGD1yo0NJT9+eefvMTFd/JDzV7E6ajVarz66qt44oknoFAoOI+1a9cOGzZswPr16+Hr68tThAQAzpw5g2HDhuGHH37Qe+zBBx9EQUEBHnjgAR4iI62JioqCXC7HU089pffYyZMnMWzYMPz44488REaa6ty5M3bv3o3ly5dDJBJxHrt27RrGjBmD9PR0nqLjkS0zLUt/QDU/pBV37txptsPswIEDHXoVZGfy888/s4CAAL1rJBKJ2L///W8acedAtmzZYnAggUAgYB988AF1ULcjhw4danYh4FdeeYWpVCqbxcJ3zQ/vCY1JwVLyQ1pw6tQp1rdvX4Nv7GeffZYpFAq+Q3R5Go2GrVy50mD/nuDgYLZ//36+QyRmOHPmDBs0aJDB997cuXPpvWdHysrKml0k9eGHH7bZMj58Jz/U7EWcwp49ezBkyBCcOnWKU+7u7o61a9dizZo18Pb25ik6AgD19fV46qmn8OKLL0Kj0XAeGzhwIORyOcaMGcNTdMQSERER+O233zBnzhy9xzZt2oQxY8aguLiYh8hIU0FBQdi9ezeSk5P1Htu9ezeGDh2q9znqjCj5IQ6NMYb//Oc/mDRpEioqKjiPdezYEfv27TPYL4HYVllZGcaNG4e0tDS9x2bMmIHffvsNPXr0sH1gxGq8vb2xadMmLF++XG+ItVwuR2xsLA4fPsxTdKQxNzc3pKSkYO3atXB3d+c8dvr0aQwdOhR79+7lKTrboOSHOCyVSoXnnnsOL7/8sl5NglgsRk5ODkaOHMlTdETr0qVLGDlyJH7//Xe9x95++21s3bqVOp87CYFAgMWLF+P777+Hn58f5zFt59rt27fzFB1p6qmnnsK+ffvQqVMnTnlFRQUmTZqEjIwMniJre5T8EIdUV1eHxx57DF988YXeY4899hgOHTqEbt268RAZaezYsWO4//779arRfXx8sHXrVrzzzjsQCuljyNlIpVL8+eefehOH1tfXY+bMmVizZg1PkZGmRo4cCblcDrFYzClXKpWYM2cOVq1aZfIxGWOQy+VITU3FBx98gNTUVMjlcm3fXftgyw5Glv6AOjwTdndE16hRowx22Fu2bBmNLrETBw4cYO3bt9e7RuHh4SwvL4/v8IgN3Lp1q9nOte+88w69V+1IdXU1mzlzpsFrtXjxYqOulUqlYmlpaSw6OtrgccRiMUtLS2MqlYr3Ds+8JzQmBUvJj8srLi5mf/vb3/TeVJ6enmzr1q18h0f+JzMz0+ACi/3792dXrlzhOzxiQ0qlkj3zzDPNjsK05fBq0jK1Ws1eeOEFg9cqMTGxxZnWa2pq2JQpUwzu2/RHKpUyuVxOyY/RwVLy49JOnjzJunfvrvdG8vf3pyHSduSLL74wOJR9xIgR7NatW3yHR3ig0WjYW2+9ZfCLcMaMGbQyvB3RaDTsvffeM3itpkyZwmpqavT2UalURic+2p+4uDhKfowOlpIfl3X48GEWFBSk9wYKCQmh9bnsSHMfmlKp1OCHJnEtqampTCAQ6P19jBkzxmbzyxDjfPnllwZvYu6//369a5WWlmZS4tPMDyU/zQZLyY9L2r9/P2vXrp3em6VPnz7s/PnzfIdHWMt39klJSbQwKdHZunUr8/Dw0Ps7EYvFrKysjO/wSCPff/898/Ly0rtWEomE3b59mzF2973fXB8fe05+aJgFsWu//vorJk6ciJqaGk65RCLBb7/9hp49e/IUGdFijOHNN9/Ev/71L73HXnvtNXz55Zdwc3PjITJij2bOnIk9e/bA39+fU56fn4+xY8fi5s2bPEVGmpo6dSr27t2LgIAATnlOTg7Gjx+PW7duIScnBwUFBTxFaD5Kfojd+vnnnzFlyhTU1tZyyidMmICsrCx07NiRp8iIFmMMS5YswXvvvaf32MqVK/Hee+/pTXhHSFxcHLKzsxESEsIpP3bsGMaOHYvr16/zFBlpasSIETh06BBCQ0M55Xl5eRg3bhyysrJ4iswylPwQu7Rnzx5MnToVdXV1nPJHH30UMpmMJsWzA4wxvP766/jggw/0HluzZg0WLVrEQ1TEUYjFYoPzcRUVFVECZGeioqKwf/9+dOnShVP+119/YeXKlTxFZRlKfojd2bt3L6ZNm4b6+npO+axZs7BlyxZ4eHjwFBlp7J133sHy5cs5ZQKBAF9++SWeffZZnqIijqR3797Izs7WW9rkxIkTGD9+PDWB2ZHIyEhkZ2eja9eunPJr167xFJFlKPkhdiUrK8tgjc/jjz+OTZs26a1DQ/ixbNkyvT4+AoEAaWlpePLJJ3mKijiiHj16IDs7G7169eKUFxUVYfz48SgrK+MpMpwYe8MAACAASURBVNKUNll1htnzKfkhduO3334z2Mdn7ty5SE9Pp06zduK///0v3nrrLb3yL7/8EvPnz7d9QMThdevWzWACdOzYMTz44IMoLy/nKTLSVM+ePZGVlYXw8HC+Q7EIJT/ELhQVFWHKlClQKBSc8vj4eKxfvx4ikYinyEhj33zzjcG+PJ9//jmSkpJ4iIg4i/DwcGRlZek1geXn52PatGl6tcGEP7169UJWVhbCwsL4DsVslPwQ3l2+fBkPPfSQ3t3dzJkz8fXXX1ONj53Yu3cvnnjiCe2cWzqrV6/GM888w1NUxJl069YNWVlZes0q2dnZmDt3LtRqNU+RkaYiIiKQlZWFzp07m7V/XFycdQMyESU/hFe3bt3CQw89hOLiYk75lClTsHnzZkp87MTRo0cxffp0KJVKTvmyZcuwYMECnqIizqhHjx7Yt2+f3jD47du3Y+HChXrJN+FPZGQkdu/erTdnU2ukUik+/PDDNorKOJT8EN7U1NRg8uTJOHnyJKf8/vvvxzfffEOdm+3E2bNnMXHiRFRXV3PKFy5ciNdff52nqIgz6927N3766Se9L9XPP//c4GSahD9isRjff/+9UaNwxWIx0tLSkJmZCW9vbxtE1zxKfggvlEolZs2ahcOHD3PK+/fvD5lMBh8fH54iI42VlpbioYcewo0bNzjljz32GFJSUmgCQ9JmmvtSfeedd7BmzRqeoiKGxMXFYfPmzXqfBwKBAHPnzkVqairkcjmOHj2KxMREu+jDKXCkKkSBQBAFoFC7XVhYiKioKB4jIuZgjCExMREbNmzglIeHh+P333/Xm0eC8KO6uhqjR49GXl4ep3zcuHH48ccf4enpyVNkxJVs27YNs2bN4jR3CQQCbNu2DTNmzOAxMufEGENOTg7kcjmqqqrg5+eH2NhYSCSSVm921qxZg+eff55T5uHhgV9//RUjR47klBcVFWHAgAGNiwYwxoqs9DJaZ8uFxCz9AS1s6hTefvttvUXtAgMDWVFREd+hkf9Rq9Xs0UcfNbj4ZEVFBd/hEReTmpqq97fo6enJ/vzzT75DcxoqlYqlpaU1u0ipWCxmaWlpTKVStXgcQ5/vHTt2ZBcvXuQ8r7CwkFZ1NzpYSn4c3tatW/XeGN7e3uz333/nOzTSyDvvvKN3nXr16sWuXbvGd2jERb311lt6f5OhoaHs6tWrfIfm8GpqatiUKVOMWn1dKpWympqaZo+l0WjYs88+q7dfdHQ0q66u1j2Pkh9KflxGXl4e8/Hx4fzBC4VCJpPJ+A6NNLJt2za9D66AgAB26tQpvkMjLkyj0bBnnnlG728zNjaWKRQKvsNzWCqVyujEp3EC1FINkEqlYpMmTdLbb+bMmUyj0TDG+E9+qMMzsYkbN27gkUce0ZvE8JNPPsGUKVN4ioo0VVBQgISEBE6ZUCjEt99+i8jISJ6iIuRuP5/Vq1dj/PjxnHK5XI5nnnlGe4PcphhjkMvlSE1NxQcffKDryGuLc7eV9PR07Nq1y6R9ZDIZ0tPTm31cJBJh8+bN6NevH6d827ZtePfdd82K0+psmWlZ+gOq+XFI9fX1bNSoUXp3AU8++aTuLoDw78aNG6x79+5612nlypV8h0aITllZGevdu7fe3+mKFSva7JzW6g9jbzQaTbOvqbUfsVjc6uf36dOnWUBAgN6+27dv573mh/eExqRgKflxOBqNhj399NN6f/wjRoxgdXV1fIdH/qe+vp6NHj1a7zolJiZSgkrsTmFhIfPz8+P8rQoEAvbDDz9Y/VzW7A9jb44cOWJW4qP9kcvlrZ5jz549TCgUcvZr164d++6776jZiziv1NRUrF27llPWtWtXfPfddzRU2o689NJLOHDgAKds+PDh+Oyzz2guH2J3oqKisGnTJs7fJmMMc+bMwYkTJ6x2HrVajdmzZxvdLCSTyRAfH+8wy3DI5fI233/ChAn4+OOPOWU1NTV44YUXLDq3pSj5IW3mzz//xIsvvsgp8/b2xvfff2/2ejDE+r777jusXr2aUxYeHo7t27dTgkrsllQqxXvvvccpq6ysxIwZM1BTU2OVc7RFfxh7UlVVZdH+lZWVRj1v0aJFSExM5JSVlJRYdG5LUfJD2sSdO3cQHx8PlUrFKV+/fj0GDRrEU1SkqQsXLuDJJ5/klHl5eWHHjh16aysRYm8WL16M+Ph4TtnJkyetUqvAGENKSopZ+65atUrbVcOu+fn5WbS/sWt6CQQCfPbZZxg+fLhF57MmSn6I1THG8OSTT+LSpUuc8iVLlmDWrFk8RUWaamhoQHx8PCoqKjjlq1evRkxMDE9REWI8gUCAr776Su+Gat26ddi4caNFx87JyUFBQYFZ++bn5yM3N9ei89tCbGyszfb39PTE1q1bERQUZNE5rYWSH2J1qampyMzM5JSNHj2aFiS0M6+//jqOHDnCKXv88cf1qqcJsWc+Pj749ttv9WoxnnvuOZw+fdrs49qiPwzfJBIJoqOjzdpXLBabfJPUpUsXu2kSpOSHWFVeXh5eeuklTllQUBA2b94MNzc3nqIiTf3444/46KOPOGURERFYs2YNdXAmDiciIgKff/45p6ympgazZs1CXV2dWce0VX8YPgkEAixatMisfZOTk836rJg0aRJeeeUVs85pTZT8EKupqqrC7Nmz0dDQwCnfsGEDunTpwlNUpKni4mK9iQw9PDwM3j0T4ijmzJmDp556ilNWUFBg9hetrfrD8C0hIQFSqdSkfaRSqd5niCnee++9poua2hwlP8QqGGN4/vnncebMGU75yy+/jMmTJ/MUFWlKo9Fg3rx5uHXrFqf8448/po7oxOGlpKQgKiqKU7Z69Wp89913Jh/Llv1h+CQSiZCRkWF0AiSVSpGRkQGRSGT2OT08PPRqnm3OlpMKWfoDmuTQbm3cuFFvAqwhQ4aw+vp6vkMjjaxcuVLvOk2fPp0mMiROo7CwkHl7e+utTWfqAqhtPfuxvdHOYi0Wi20yizXfMzwLmAMMx9MSCARRAAq124WFhXpZPrG9a9euISoqCnfu3NGVtW/fHnl5eejZsyePkZHGzpw5g+joaNTW1urKunXrhvz8fAQGBvIYGSHW9dVXX+k1gU2ePBkymcykfirr1q1DUlKSyedPS0tz2IEDjDHk5uZCLpejsrIS/v7+iI2NRUxMjFX7AxYVFTVt+hrAGCuy2glaY8tMy9IfUM2P3dFoNGzq1Kl6dwnffPMN36GRRtRqNRs5cqTedcrKyuI7NEKsTqPRsPj4eL2/9w0bNph0HJVKxaRSqUm1Pq2teE7u4rvmh/r8EIts3rwZO3fu5JTNnj2b5vOxM//9739x6NAhTtnChQsRFxfHT0CEtCGBQIBPP/1Ubyb5RYsWmTSzMB/9YYhtUPJDzHbt2jW9mVQ7duyITz/9lKeIiCFnzpzBkiVLOGU9e/bE+++/z1NEhLS9oKAgrFmzhlNWXl6OZ599VtuSYBQfHx9kZmYiLS0NYrHY4HPEYjHS0tKQmZkJHx8fi+ImtkETrxCzMMbw3HPPcfr5AMBnn32G4OBgnqIiTWk0GiQlJXH6+QB3+yT4+vryFBUhtjFt2jQ8/vjj2Lx5s65s165d+Prrr00aqi0SiZCYmIj58+fbpD8MaXuU/BCzNNfc9eijj/IUETHEUHPXP/7xD2ruIi5j1apV+PXXX3H9+nVd2aJFi/DAAw8gLCzMpGMJBAJIJBJIJBJrh0lsjJq9iMmuX7+u19zVqVMnau6yM1evXsXrr7/OKevZsyeWL1/OU0SE2F5zzV/PP/88TxERe0A1P8Rk//d//0fNXQ7g5ZdfRk1NDaeMmruIKzLU/LVz507IZDKTZzduDWMMOTk5kMvlqKqqgp+fH2JjYyGRSKhpzJ7YcmiZpT+goe68++233/SGds6aNYvvsEgTe/fu1btOTz/9NN9hEcKbsrIy1rlzZ857omfPnkyhUFjl+NpJApubGNHakwQ6OhrqThyGWq3GwoULOWV+fn5YuXIlTxERQxoaGvSaJTt06IB///vfPEVECP+CgoLw4YcfcsouXLiAFStWWHxshUKBadOmISkpCQUFBQafk5+fj6SkJEyfPh0KhcLicxLLUPJDjLZmzRrk5+dzypYuXYrQ0FCeIiKGrFq1CidOnOCUvffee9QsSVzevHnzMHLkSE7Z+++/j/Pnz5t9TLVajdmzZ2PXrl1GPV8mkyE+Ph5qtdrscxLLUfJDjHLz5k288cYbnLKoqCj84x//4CkiYkhJSQmWLl3KKYuJicHTTz/NU0SE2A+BQIDVq1dzJiGsq6vDiy++aPYx09PTjU58tGQyGdLT080+J7EcJT/EKIsXL0Z5eTmnbPXq1XB3d+cpImLIK6+8gurqak5Z0w97QlzZwIED9ZrvZTIZfvjhB5OPxRhDSkqKWXGsWrXKpMkWiXVR8kNa9eeffyItLY1TNmfOHIwZM4aniIghBw4cwJYtWzhlTz75JIYOHcpTRITYp6VLl6JTp06csuTkZNTV1Zl0nJycnGb7+LQmPz8fubm5Zu1LLEfJD2kRY0yvStjX1xcfffQRTxERQxhjePXVVzllAQEBNKcPIQYEBATodXQ+f/68ybU4crncojgs3Z+Yj5If0qLMzEwcPnyYU/bOO++YPDMqaVs7duzQu07Lli1Dx44deYqIEPv2xBNPYMSIEZyy999/X28Os5ZUVVVZFENlZaVF+xPzUfJDmqVSqfDaa69xyiIiIpCcnMxTRMQQlUqlN5Nz79698eyzz/IUESH2TygU6tX0lJeX44MPPjD6GH5+fhbF4O/vb9H+xHyU/JBmbdiwAadOneKUvfvuu9TJ2c6kp6frDW2n60RI62JiYjBr1ixOWUpKCoqLi43aPzY21qLzW7o/MR8lP8Sg2tpavP3225yywYMH47HHHuMpImKIoes0aNAgvQ90Qohh7777rt7Q93/9619G7SuRSBAdHW3WecViMWJiYszal1iOkh9i0Keffqp397N8+XIIhfQnY09SU1Nx9epVThldJ0KM16dPHzz11FOcsq+++kqv1tsQgUCARYsWmXXe5ORkWuuLR/QJSfSUl5frjRIaN24cHnzwQZ4iIoZUVFToLVkxduxYTJgwgaeICHFMb731Fry9vXXbarVab1LX5iQkJJi8OKpUKkVCQoJJ+xDrouSH6FmxYoXeiIf333+f7lLszH/+8x/cvn2bU7Z8+XK6ToSYKCwsTG9Kj23bthk1FF0kEiEjI8PoBEgqlSIjI4MmHuUZJT+E49atW1i1ahWnbObMmdQxz85UVVXhv//9L6dsxowZNKEhIWZ69dVXERgYyCkztu+Pj48PMjMzkZaWBrFYbPA5YrEYaWlpyMzMhI+Pj8XxEsu48R0AsS+ffvopampqdNtCoRDvvvsujxERQ7744gu92rmma3oRQowXEBCAJUuWcCYL3bVrF44dO4a//e1vre4vEomQmJiI+fPnIzc3F3K5HJWVlfD390dsbCxiYmKoVtaOCBxpbRGBQBAFoFC7XVhYiKioKB4jci7V1dXo3r07pyllzpw52Lx5M49Rkabq6+vRq1cvlJSU6MqmTp2K77//nseoCHF8hj4DH3/8cWzatInHqJxTUVERBgwY0LhoAGOsyFbnp2YvorN27Vq9PiSLFy/mKRrSnPT0dE7iAwBLlizhKRpCnIevr6/eJK4ZGRk4f/48TxGRtkLJDwEANDQ04OOPP+aUTZ48GQMHDuQpImKIWq3WW5MoLi4Ow4YN4ykiQpzLCy+8gHbt2um2NRoNPvzwQx4jIm2Bkh8CANi4caPevD5Um2B/tm3bhrNnz3LK6DoRYj0dOnTQWxpm3bp1KC0t5Ski0hYo+SFQq9V669mMGjVKb9E/wi/GmN78S4MHD6b5lwixspdeeomzPEx9fT0++eQTHiMi1kbJjwUYY5DL5UhNTcUHH3yA1NRUyOVyOFIncuDuyu2nT5/mlFFtgv3Zu3cvCgoKOGVLliyhESTEKTHG0FCnQm1NAxrqVDb9XO3SpQv+/ve/c8o+++wzk1Z8J/aNhrqbQa1WIz09HSkpKXpfRsDd+RySk5ORkJDgEBNZrVy5krMtFovx8MMP8xQNaU5qaipnOzIyEtOnT+cpGkKsr6y0EqcLSlB6tRw3SipQX6vUPebp7Y5OYe0REh6AyOgwBIe07Yror776KtLS0qDRaADcnVtr3bp1eOmll9r0vMQ2aKi7iRQKBWbPno1du3a1+lztTJ72PKFVQUGB3qRcW7ZsQXx8PE8REUOuXLmCHj166D6IAWD16tVYsGABj1ERYh0XTl5H7oFzKL54u/Un/0+XHh0gGROBHn07tVlcs2bNwtatW3XbEREROHXqFK2dZwU01N2BqNVqoxMfAJDJZIiPj4darW7jyMz32WefcbZDQkLw6KOP8hQNac4XX3zBSXx8fX3xxBNP8BgRIZarVTRg9zdHsTNdblLiAwDFF2/j+w1HsPubo6hVNDT7PEuaz1544QXO9tmzZ7F3716T4iT2iZq9TJCenm504qMlk8mQnp6OxMTENorKfBUVFdi4cSOn7JlnnuF09CP8a2howNq1azllCQkJ8PPz4ykiQixXVlqJHeuOoKaqzqLjnCoowdXztzEtcYiuKcxazWcjR47EgAEDUFioa3BAamoqLR7sBKjZy0iMMQwaNMhgH5/WiMViHD161O46pn766aecOxuRSISLFy8iPDycx6hIU998841eM+SxY8eaVhkT4jDKSiuxbe0fnKREy8fXE/0GdUFot0AEh/jD3UMEZYMaZaWVuHb5Dk7mFUNRXa+3n6e3O4aO64NzRaVWbT777LPPOM3LQqEQFy5cQLdu3Yw+B9HHd7MXJT9GksvlGDJkiEX7SyQSK0ZkGcYYoqKicOLECV3ZjBkz8N133/EYFTFkzJgxOHDggG579OjRyM7O5jEiQsxXq2jAppQDejU+nt7uGDWxP/oN6gKRqPkeGWq1BifzinHwp+O65Emt1qDiVg3qa1XoHB4Aocj0G82+0WEYIx0Abx8PTnlVVRXCwsJQXV2tK3v99ddpzUML8Z38UJ8fI8nlcl73t7bs7GxO4gOAOs/aocLCQk7iA9B1Io4tW1aol/iEde+AeYvGIErSFSKRsMVpREQiIaIkXTFv0RiEde8AZYMKN65WQFHdALVag/Jb1c2cuWWnCkqwKeUAykorOeV+fn5ISEjglK1duxYNDc33MyL2j/r8GKmqqsqi/SsrK1t/kg01HTbdt29fjBs3jqdoSHM+//xzznbnzp1peDtxWBdOXsepAu66dGHdO2Ba0lC4u4tMmkbE198LIyfdh8Kll6FW3xsMoKhugI9vAzp08jO5+aymqg7b1v6BmU8P5/QFev755zmfmTdu3MD27dtpVKwDo5ofI1naudTfv23npDBFWVkZMjMzOWULFiywuz5Jrk6pVGLLli2csqeeegoeHh7N7EGIfcs9cI6z7entjolzBsPdXQSFQoFp06YhKSmp2b6V+fn5SEpKwvTp03G7rAI/bMxF+w4+EArvfXYJhQIEBLVD0v+Nx6iJ/RERFYqAoHZo5+eFgKB2iIgKxaiJ/ZH0f+PxwIxoeHpzB3jU1yqxY90RzgiyAQMGYPTo0Zznffnll5b+OgiPKPkxUmxsLK/7W9PWrVuhUql0215eXnrVuoR/e/bswa1btzhlSUlJPEVDiGXKSiv1OiKPmtgfvv5eZk0jkpz4L1RX1kLkJkT7oLsLkXp4uaFzeADqapW4c7PapOazxmqq6pAtK+SUPffcc5ztffv2oaSEW4tFHIdDJz+1tbU2O5dEIkF0dLRZ+4rFYsTExFg5IvM1Hd7+yCOPICAggKdoSHM2bdrE2R4+fDh69erFUzSEWOZ0k+Yu7aguwPRpRDoH9ER1mQClpdd1x2rn54ngEH+I3O72GVqXuhWDBg3CkCFDsHDhQixevBgLFy7EkCFDMHjwYKxbtw5qtRq+/l6YljRULwE6VVCCCyev67YfeeQRTgsAY0yvZpY4DodOfv75z3/abAJBgUCARYsWmbVvcnKy3TQpnT9/Hr///junbN68eTxFQ5pTWVmJHTt2cMroOhFHVnq1nLOtHdXFGENKSopJx+rT5e7I2+KrVwEAXj7uGDnpPgiFAqjVGhQWFmLHtt1GNZ8pFAq4u4swcc5geHpxm8AaN9P5+PjoTQDb9EaSOA6HTn7279+P9PR0m50vISEBUqnUpH2kUqldNSlt3ryZsx0UFISHHnqIp2hIczIzM1FXd29EjJubG2bNmsVjRISYjzGGGyUVnLLQboEAgJycHJPmT/P3CUaQ3925yKqqq1FVVYVRE/ujR2QnMMZw/HgRyspuIaBd51aP1XgWfl9/L4ya1J/zePHF25zRX01vQPLz81FUZLPR2cSKHDr5AYBVq1bZbLVfkUiEjIwMoxMg7dpe9rK4KWNM705l9uzZNKOzHWp6nR5++GEEBwfzFA0hllHWq/UmNNSOpjJ1GpAuQf042zW1leg3qAuCQ/xRWnodZWV3+8m5u3nBTdj64ADtLPzA3dooH19PzuONm+vi4uIQFhbGebxp8zRxDA6f/OTn5yM3N9dm5/Px8UFmZibS0tL0FgTVEovFSEtLQ2Zmpl0tapqbm4tTp05xyqgpxf6UlJRg3759nDK6TsSRNR6KruXucfem0NRpRDr4hnC23XxrIRIJ4eYuxNWrVziPCYXG3Xhqb6JFIqGuH5JW4+Y6kUiEOXPmcB7ftGkTZ9094hicYp4fW8+eLBKJkJiYiPnz5yM3NxdyuRyVlZXw9/dHbGwsYmJi7KaPT2NNaxN69eqFYcOG8RQNaU5GRgbnw9TPz8/k5lZC7ImhGZuVDXf7a5o6jUj7Js1Z7TveranJkR9FdXUN5zGNxrg+odqbaIlEomuO07pRUgHGmO4zfd68efj44491j1++fBmHDh3SGwpP7JtTJD98TSAoEAggkUjsatmK5mg0GnzzzTecsrlz59plkubqms7BNGPGDLuqQSTEVO6eInh6u3OavspKKxEQ1M6kaUDchB5wd/PilMUOvzsKV/7HX5xypaoOKo3xszBrb6KbLnRaX6uEsl4ND6+7X5fR0dGIiori9PXZsmULJT8OxuGbvQD7mkDQXsnlcpSWlnLKHn/8cZ6iIc25efOm3mi8xx57jKdoCLEOgUCATmHtOWXXLt8BYNo0Ik2bsfx8fREjGQQAqCzjztZcXnMdbkIPeLh5G9X3R3sTrW2Oa6xxs51AIMDcuXM5j+/cudNmfU+JdThFzY89TSBor3bu3MnZvu+++9CvX79mnk348uOPP3KavHx8fDB+/HgeIyLEOkLCA3DlXJlu+2ReMe6f0A8ikRCLFi0yagLPps1YXcLDoVJqoFZroKr2hkjoDk93H7i7ecDT3Qcd23fXPVepqkNFzXXcri7F1bITqKrlTiCqvYnWNsc11rTZbvr06Xjttdd02yUlJTh69KhdzedGWubwNT/2NoGgvZLJZJxt6kNin5omqRMmTICXl1czzybEcURGc0dJKarrcTKvGIDx04ioNA1Qqu5OAREcHISQkM4oK63EflkR1ApPBPqGwMfTH+4iL6ibNHm5u3khuH13RHYZinHR8zEyajY6B/TUPa69iW66sKmntzvcPbm1QX379kVERASnrOlnLLFvDp/82NMEgvbqwoULOHbsGKds6tSpPEVDmlNXV4c9e/Zwyug6EWcRHOKPLj24sygf/Ok4qivrTJpGpKLmOoKDg9C/fxSYBtj9TR5+/jYPTCPQ1dCo1PVQqVUtHifILxzD+s1ATMQkxAyK1d1Ea5vjtDqFtdf7jhEIBHrvzaY3LsS+OXTyExcXZ1cTCNqrpnckwcHBNMrLDu3fvx81NfdGqwgEAkyePJnHiAixrpjRvTnb9bVK/LTlKJRKtdHTiDwy82EMGDAAGjVD6dVynC0q1fXJ0daSKuqNHwQTHnwfHo59BreuV0Gt1uhqo7RCwg0v/dM0+cnLy8OVK1cMPpfYH4fu8/Phhx/azQSC9qzpHcmUKVPo92aHml6nYcOGoVOnTjxFQ4j19ezXGX2jw3Cq0cSBJZduY0faYUycMxi+/l6tTiNy63oV1n+UhRvFFaivU4JpGDQCAURuAnh4eKBWWYXjJw/idnUJKhVlUKkb4CbygL9PMDr4hqFrx/7wdG+nO39wcBCCO3TGtrV/IHpYDyiquR2nmzbXaY0YMQKBgYG4c+deTZFMJsOCBQus/FsjbcGhkx9vb2++Q7B7FRUVyM7O5pRRU4r9YYzpJT90nYgzGiMdgKvnb6Om6t7yLSWXbmPjymyMmtRft+ZXc9OIeLfzwO0bVairbQD+N8BKpVLDzV2IkK6BePXlqXjy6f0okh3Q7VOvVKCmrhzXbp/F8SuH0DW4PwZ0H4PQkC7o3z8KAoEAiqp6yL6Wo2NoewhFd5u5uvTooDf0XcvNzQ2TJ0/mzJ9GyY/jcOhmL9K63bt3Q6W61/bt4eGBBx98kMeIiCGFhYUoLuZWt1PyQ5yRt48HpiUOgac3d1md+jol9m4vQNoHv+LgT8dxtugaym/VoKaqDuW3anC26BoO/nQcn/yf7O58QY1GlgsEAnh6u+PxF0ahY+dAbN++HW+++SbCw8P1zs+YBh26uGHak4MxYfJoiERCaDQMt25UQdmgRvmtat1zJWMi9PZvrGkfpX379pk8YzXhh0PX/JDW/fLLL5ztcePGwdfXl6doSHOysrI42927d8d9993HUzSEtK3gEH/MfHo4dqw7wqkBAu6OAjt68LzB/WoVDai4rYBQJIRQxKBRayAQCuDl44H2HdrhwA/HUYFTWL1mlcHFUsPDw5GYmIi33noLbm5uUCrV2LrmNxTlXkFDnep/52+Aj28Doof3QI++LTc7P/zww3B3d4dSeXfyxoaGBhw8eBCTJk0y59dCbIhqmRVfJwAAIABJREFUfpzc/v37Odu0grt9anqdxo4dS6MYiVNijKGhToV2fl547Ln7ETkw1Oh9q8trdf93cxdCIBTAP9AbIeEBEIoE+PmHA9iRdhR3StQQCPS/3q5evYply5ZhxowZqKqqxumCEty+WQ1Vk7l9ahVKjJEOaDUef39/vcEjTd/LxD5RzY8Tu3LlCs6dO8cpi4uL4ycY0iyNRqPXL2vs2LE8RUOI9ZWVVuJ0QQlKr5bjRkkFZ5kLT293+Ad6o6q8Dg31Srh7GP5aUjaoUF93rwnfy9sdYyZHofjSbdQpGlBUWISysltwF3lhUO+H0L/bSFy5edxgx+fzBRVY9Ph/MHDAIAgEArQPaoc7N+82dwmFAvj6e6Kmsg7ePq3PDB0XF4eDBw/qtin5cQyU/Dixpm/CwMBADBw4kJ9gSLOOHTuG27dvc8ooSSXO4MLJ68g9cA7FF283+5z6WmWjZEgAgUAAvwBv1NcpOUlSQ70ant7u8PB0g4+vJ9p38MGkuTG4c7MaK9/+FmVl3BmbPd3bISKs+dn/b5dVorT0OkJDQ+Dj64mK2woIAASH+sHdww2nC0qa7ezc2NixY7Fs2TLddm5uLioqKtC+ffsW9iJ8o+THiTVNfsaMGaMbPlpVVQU/Pz/ExsZCIpFQEwuPml6nXr16oVu3bvwEQ4gV1CoakC0r5AxpN4a7hwiMMVTeUSByYBhGTOgHd083iERCyDbKcfX8vQRHOyosqLMffjryOQTVnRAebFo/ueKrVxEaGgKBAOjZrxMU1fW6iRJLr5YbdYxhw4bBw8MDDQ13Z5TWaDQ4dOgQzdFl5yj5cWJNv1SPHDmCIUOG6D1PLBYjOTkZCQkJNP8PD5peJ6r1IY6srLTSYEdmU53+qwTFF25jWuIQBHX2w81r3IkLQ7sFAgBycnJwND8HAHC17AT6dBmCID/9UV6GVFVXw81bhcmz7odKpcYPm3J1j90oqQBjrNUbQ29vbwwbNgwHDtwbWr9//35KfuwcJT9O6vLlyzh/njtioqTE8F1Yfn4+kpKSkJmZiYyMDPj4+NgiRALq70OcS1lpJbat/YPTXKXl4+uJfoO6ILRbIIJD/OHuIYKyQY2y0kpcu3wHJ/OK9SYYrKmqw7a1f+CRhCF6x9Q2Scnlcl3Z9fILuF5+AX7eQQgPvg+BviEIaNcZ7m731sdTqupQXnMdd/63wOlDCb3Ro28nlN+q4Ry/vlYJZb0aHl6tf02OHTuWk/w0Hb1J7A8lP07KnE53MpkM8fHxyMzMpBogGzl27BhnhljgbvMkIY6mVtGAHeuO6CUpnt7uGDXx3uSFTQUEtUNEVCjun9APJ/OKcfCn45xj1NcqsTNdDrVaw9nf3ePuZ5SheXWqam/hxJVDum03oQeEQhE0GjVUTRY8rays5ByvMe2yGa2Ji4vD0qVLddt5eXkoLy9HQIDhpTEI/yj5cVKN70JMIZPJkJ6ejsTERCtHRAw5fPgwZ7tXr17o2rUrT9EQYr5sWaFeU1dY9w66ZSuAu8Pcc3JyDPY7FImEiJJ0RffIjvhpy1GUXLrXSVpRU4+KWzXo0MlPV6b83/B0Pz8/tEalaQCayWP8/f05x2vMULJmyLBhw+Dp6Yn6+rs1VxqNBr///jvN92PHaJ4fJ5WTk2P2vqtWrQJjrPUnEovl5uZytocOHcpTJISY78LJ63qdm8O6d8C0pKHw9feCWq3GunXrMGjQIAwZMgQLFy7E4sWLsXDhQgwZMgSDBw/GunXroFar4evvhWlJQxHW/d4K8EKhAHUKJWoV92ptykrv1tjExjY/ossY2v21x9Py9HaHu6dxNeBeXl56cVjyGUzaHiU/Tqi2thaFhYVm75+fn6/3pUzaRtMPyJiYGJ4iIcR8uQe484l5ertj4pzBcHcXQaFQYNq0aUhKSjI46zJwr9/h9OnToVAo4O4uwsQ5g+HpdW8JDHdPN84kh9cu320ulkgkiI6ONitusVise89pj6fVKay9SaNgm65DRsmPfaPkxwn99ddfUKv1q3BN0bgTIWkb9fX1OHbsGKeMkh/iaMpKK/Xm8Rk1sb+uxmf27NnYtWuXUcfS9jvU1gCNmtRf95iHpxvq61RQNtyd6PBkXjHUag0EAgEWLVpkVuzJyckQCARQqzU4mcddWy8k3LT+Ok3fu3QDad8o+XFC1njTaTsBkrZTWFioWxNIa9CgQTxFQ4h5Tjdp7tKO6gKA9PR0oxMfLW2/Q+DuXD4+vp664wJ31966+2+9LmFJSEjQW2S0NVKpFAkJCQBgcKRZZHSYScdrmvyUlJSgtLTUpGMQ26HkxwlZI/nRdgIkbafpderTpw/NCkscTtPJALWjuhhjSElJMeuY2n6HIpFQl0i5e4jg6eWGhvp7S1wc/Ok4qivrIBKJkJGRYXQCJJVKkZGRAZFIhOrKOhz88Tjn8S49Ohg1u3NjkZGReotGU+2P/aLkxwlZ4w1naSdC0rqm14mavIijYYzhRkkFp6zx5IPN9fFpTeN+h9rjAYBfgDeU9SrdgIz6WiV+2nIUSqUaPj4+yMzMRFpaGsRiscHjisVipKWlITMzEz4+PlAq1fhpy1HU13FrYCVjIkyOWSQS6dXcUvJjv2iou5OxtLMzwO0ESNoOdXYmjk5ZrzZq8kFzyOVySCQSTg2Ml48HvHzcwRig7Ytccuk2dqQd1g2pT0xMxPz583VL+VRWVsLf3x+xsbGIiYnRdWKurqzTG1IPAH2jw9CjbyezYo6JieEsckqdnu0XJT9OxhqdnbWdAEnbUSqV1NmZODxDkwC2NPmgKZqbfDAgyBc+7TxRV3tv2HvJpdvYuDIboybdm0xRIpHojcDSxnwyrxgHfzyuV+PTzs8LY6QDzI6ZOj07Dkp+nEzTL1RfX19UV1cbvX/jToCk7Vy8eFGvs7O5w3UJ4YuhSQBNmXywJc1NPigUCSBNkGBnupw7E3SdEnu3F+D3n0+avIwGcHd4/rTEIfD28TA7ZkOdnm/duoWgoCCzj0naBiU/Tub06dOc7QceeABqtRoymazVfRt3AiRtq+l1Cg4ORocOHZp5NiHGYYxBWa/WLQXh7ilq01pcd08RPL3dOUlIWWklAoLatenkg6HdAjHz6eEGF1BVVNfj6EHuuoataefnhWmJQ0zu5NxUnz594ObmBpXqXqfsM2fOUPJjhyj5cTKnTp3ibN93331YtmwZ0tPTsWrVKuTn5+vtQ6u6217T6xQZGclTJMTRlZVW4nRBCUqvluNGSQUnEfH0dkensPYICQ9AZHSYxV/uTQkEAnQKa48r58p0Zdcu30FEVKhu8kFzOj0bM/lgcIg/5i4ajWxZod7s0qboGx2GMdIBFtX4aLm5uaF3796c9/epU6cwbNgwi49NrIuSHyfTtEYhMjISIpHI6E6AxDYMXSdCTHHh5HXkHjinN8FgY/W1Slw5V4Yr58ogzz6LLj06QDImwuwOvYaEhAdwkp+TecW4f0I/iERCLFq0CElJSSYf09jJB719PPDw7MHoG92l1d9FU23xuwDuvpcbJz9N3+vEPlDy40RUKhXOneNOM9/4S1UgEDTbCZDYFiU/xFy1igazazuKL95G8cUjVq3tiIwOgzz7rG5bO/lglKQrEhISkJmZaVSzu5Y5kw/27NcZPft15rUWTBdfk/cyJT/2iZIfJ3Lp0iW9TrR9+/blKRrSEkp+iDnKSisN9nMx1amCElw9f9sq/VyCQ/zRpUcHTq3LwZ+Oo3tkR/j6eyEjIwPx8fEm9zs0Z/LB4BB/3eO27v+k1fQzl5If+0TJjxNp2o+kQ4cO1NHODlVXV6O4mFuVT0kqaU1ZaSW2rf1Db14d4N6SEqaMcKqpqsO2tX9g5tPDLU6AYkb35iQ/2skHpyUN1U0+aEq/Q2tMPigQCODhZfuvuKY3MmfOnIFGo4FQSHMK2xNKfpwI1SY4hjNnznC2BQIBevfuzVM0xBHUKhqwY90RvcTH09sdoybem9umqYCgdoiICsX9E/rdndvmp+Pc4eG1SuxYdwRzF422qAmsZ7/O6BsdxmmKs6fJB22p6edubW0trl69im7duvEU0f9n77wDo6jT//+ene3ZbArpnRYCCSSkcUgT9BQ4I3B6FPECiYVTTtCzoXf+vK96Kl89FVRUPMMRGygSNCLcfRUEpEgIJEACCSWQ3ssmu9k+vz/CbjK7G7Kps+Xz+ot5MuUZZmfmmacSbEGMHxeCGD/OwdWr7DLc8PBwSCQSjrRxHPQGPaoUtWhUNkNn0EFvNIDPoyGgBfDz8EWoPAh82j0fWYdyz1uFukIifc2GBdAV5jl16hTy8vLQ3t4OT09PpKSkIDk5GTTNQ2xyOCKj/a0MC2W7Godyz2P+skS7dGF0OmjKK6CtqwOj1YLR60Hx+UgMoHGdp4faQJvbLztK88GRJCgoyKq/WklJCTF+HAz3fJK4KOXl5axl4k1wTKqr2Ymq7vpQ1BsNOFdzASUNl1HRWoMaRR0MjHXHYBM0xUOwPBDh3sGY4D8Ok4Mngs9z/dYMZRfrrJKbQyJ9sThzGgQCGgaDAdnZ2di0aZPNsvKeISWZXIzFmdOwJ+tXlgFUUliNCfGhGB0TaLU9o9ejI/80lOfPQ1N2HZqKCjBG29dpqkGEI+ox0Aul4EnEoD08oGE8OW8+OJKYPLk9r0VFRQWHGhFsQYwfF8LypRoaGsqRJoSbYXmdgoODOdKEG1o723Ds+ikcv5YPhcb+7uMGxojKthpUttXg+PXTkItkmB6VhFsik+Et8RpGjbkl/zC7glMkEWDBikQIBDRUKhWWLVuG77//vtftCwoKkJmZiZycHOzYsQNSqRQLViTis3cOsTws+YevsIwfXXMz2g7+jLaDh6Bva7O1ayu8aA1mia/iqDoKao0G+tY2UDQNvo83lDofzpoPjjShoaEs48fynidwDzF+XIiamhrWsru9VJ0Fy+sUEmJduuuKqLSd2FO0H3kVBTDemMo9GBSaDvyn5BD+r/QwUsITsDh2PqRC1wofNtYqrHrXzFowCTK5GAaDoU/Dpye5ublYvnw5cnJyIJOLMWvhJPy4u/sFXXWtGY21CvjIaDR8uQOKI7+Yp6f3By9ag9ull1GoCUaF3huMwQBdYxN0jU3ge3lBEBgAyo5mqkNZjj/SWD57Le95AvcQ48dF0Ov1qK+vZ8nc5aXqbLij5+d8bQm+KvwWbeq+PT1+Hj6QCqQQ0HzoDHqodCo0Klt6Xd/IMPi1/Awu1l/C0vhFiAtyncq5Uotwl6mqCwCys7PtNnxM5ObmIjs7GxkZGYiZGopj/73ICjWd/f5XRBbuhb61tc99CQP8wZPJwBMIYNTpYOzogLa+oetvlAEp4kqE61tRqvVHo9EDAKBva4NBqYQwKAi0p8zmfoer+eBIYvnsJcaP40GMHxehvr4eRos4vDu8VJ0Rd/L8qHUa7Dr3PfIqeh9xMGZUBCYHTUSEdwjCvEIgFohs7qeyrRrlrdU4V3sBV5vKrdZpU3fg418/R0p4PP4w5S6I+Nb7cTZqK9lGiClpmGEYbNq0aUD73Lx5M1avXg2a5iFmaihOH7kKxmiErqYWZaXVCJXYNnwk0eMhS0qEePRoiKMiwbORpG/s7IT62nWoy8rQkX8aQaWXEMTvQJtBhEq9N1qMErTqJdBUVoIvl0MQHASxh2hEmg+OJJbPXhL2cjyI8eMiWL5QaZqGv78/R9oQboa7hCeVWhU+PP4pylurrP4mpAVIDU/AjNEpCJEH9bkvsUCEcX6jMc5vNOaNm4FqRS1+KctDXkUBtAZ2ZVBeRSHq2hvxp+l/hIdQOmTnM9IwDIP6anauTXCEDwDg1KlTA5qZBXTlAOXn5yM5ORnBET5gDAZoyitgVKvRCgkYxlysBZ5QCPmsmfCeNxeiiPA+982TSCCdGAPpxBj4LlwATXkFWn86AN4vR+GlrbtxXoAePBgNFKSCSEQ9/gT4g5wA72iQsJfjQ7ouuQiWN1dQUBBpquWAaDQaNDU1sWSu6PlRalV492iWTcNnUuB4/PW2dfhDfJpdho8tQuRBWBqfhr/etg4TA6wb35W3VuHdo1lQalUD2r8joNMYrPr6mLwieXl5g9q3aXsfTxqa69dhVHeV0WtBQ3/jteAxZQqi3ngdgavT7TJ8bCGKCEdgxipEvfE6PKZMBtBlWAkoI0SUAYZrV1H56uswdNif+O4M2Ap7DSR/ijB8kLeji+COeSTOSG1trZXM1a6VWqfBh8c/RY2CnYMm5guxImExHp52/5BVZ3lLvLDmN3/EioTFEPPZibE1inp8ePxTaPTW5dPOgMFgXU4uEHYlCre3tw9q3wqFAsbOTjR89CGMGi37jyIxgh7MROhTT0Dg6zuo45gQ+Poi9Km/IOjBTPDEYtbfNJVVqHzjn2YDzBWwvKd1Op3VRw+BW4jx4yK4Ux6JM9PQ0MBaFggE8Pb27mVt52TXue+tPD4+EjmenPMn/CYyccjnK1EUhd9EJuLJOX+Ct4SdL1LeWoWvz/YvKdhRsNWxWac1AAA8BxkmksvlqNv+KZTXKllyis9H1AvPw2vO7GG5Tl5zZiPypRch8PVh/U19tQx1/84e0uNxSVCQtUeThL4cC2L8uAitFtUZZKaXY2L5xS6Xy0dk2OJIcb72olVys49EjnUzH0SAzG9Yjx0g88O6mQ9YGUB5FYU4X1vSy1aOi0BEQyQRsGSNtQoAQEpKyqD2neLlDcXRY2gzdnthKD4fXjFj4RE5vP3BhMHBCP/b81YGkOLoMXScsZ775YwIBAJ4ebG9m5bPaAK3EOPHRbB8qQ72y5AwPHRY5Da40nVSaTvxVeF3LJmYL8Sjt6yGr3RkvFujpD5Ye8tqqxDYV4XfQqXtHBEdhgqKohAQwn6B1pR3lfwnJycjPj5+QPudFh8Pn+MnAADNhq6EcIrHgygiAoFR/iNijAv8/RG24RmrEFhd1r9h6FAO+/FHAst7e7ChSsLQQowfF8HypSqT2e6hQeAWywegK12nPUX7rfr4LIlbOOweH0sCZH5YEreQJWtTd2BP0f4R1WMoCApjG40Xz1TBYDCCoiisX79+QPv827TfQN/aBiMDlOu79i8IDABPJLQ63nAiDA5GwP33sWT61lY0fLljxHQYTizvbctnNIFbiPHjIhDPj3Pgqp6f1s425FWwQxaTAsdjWsRUTvSZFjEVkwLHs2R5FQVo7bRvTIOjEB3Pzt1TdWhw8UxXPlV6ejrS0tL6tb9lCxZifGdXAni53hsahg/awwP8G3lnlscbbuSzZ8FjyhSWTHHkF+iam3vZwnkgnh/Hhhg/LgIxfpwDV71Ox66fYo2sENICLItfNKAQisHIoL6lE9dq21Hf0gmDsf8lwhRFYVn83RDS3TkzRobBseun+r0vLvELkiM0il1xdWRfMToUatA0jR07dthtAKWlpeGt+/8IMAw6jXyc0wSDoigIb1QmhUb59qvB4FBdp8AHVoMn7A5TMgyDtoM/93tfjgYxfhwb0uTQRRjOlyrDMDh16hTy8vLQ3t4OT09PpKSkIDk52aWSdUcCVwx76Y0GHL+Wz5KlhCdYJR73RXldB3KOXEPusTKoNN0vUqmIQtoto/H72VEID7D//8tb4oXk8Hgcu9Zt8By/lo87om91qmnwSbPHsuZ7aTp12PflaSzOnAapVIqcnBxkZ2dj8+bNKCiwThg2TXX/43334fqTz8DAUDipDocONPheXqAEXa+B5DnW/ZJsMdTXSeDrC/mMW9Daw+BpO3gIoxbdDYrvvK8oYvw4Ns77yyKwGI6cH4PBgOzsbGzatMlmN1nTQzU9PR20HYMKCa4Z9jpXc8FqOvvM0fZXI+n0Rrz11Vl8e9R6ZAUAqDQMdh68ip0Hr2LRjAj8ZekUCPj2Oa1nRqWyjB+FpgPnay8iISTWbv24ZnRMICbEh6Ckx5yv6uvN2JP1KxasSIRMLkZGRgZWr16N/Px85OXlQaFQQC6XIyUlBUlJSaAoCu2/nkR7ixIn1VFoujFri+/TVXE1IT6kz1law3mdvG+fxzJ+9G1t6Dh9Bp6pg6tq4xKS8+PYEOPHRRhqz49KpepzYnRBQQEyMzORk5ODHTt2QCp13lECI4Urhr1KGi6zlseMirC7c7NOb8RTW44jr8S+BnDfHi1HdaMSbz463a4Xa6hXEEb7hqOsucIsu1h/yamMHwCYkxaHyqvNULZ3NwKsvt6Mz945hFkLJ5lnfiUnJyM5Odlqe4PBiMKfzuGEajx06PpQ4Ukk4IlF8PAUY05a3E2PP9zXSRQRAcn4cei81P1bUp4759TGD/H8ODYk58dFGErPj8Fg6NPw6Ulubi6WL18Og8Ew4GO6C2qLLrZii1JfZ6Sild28bXLQRLu3feurs3a/UE3klTThra/O2r3+lOBJrGVLfZ0BiVSIxRmpVn1/NGodftxdiKyNP+HIvmJcLqpBa5MSynY1WpuUuFxUgyP7ipG18SccPasyGz4AQHt6QiQRYHFGKiRSoeUhWYzEdZIlJ7HPrex6v47naBDjx7Ehnh8XQa/Xs5aFwps/zG5Gdna23YaPidzcXGRnZyMjI2PAx3UHjEb2yAJnDxfqDDrUKOpYsghv+yqGyus6eg2h9MW3R8tx3+3j7MotCbfQp6a9DnqDHnzauR5/fkFy3PvQdOzZdpLlAQK6qsBOH7na67aMkYFRwx7z4TlKhnsemt5nkvNIXSdxVBRrWVNZCUanAyUQ2N7AwRFY6E0+Dh0L4vlxESxfqgMdasowDDZt2jSgbTdv3kyG9/XBUF0nR6FaUQcDwz6nMC/7jJ+cI9cGdWx7tw/zYs9ZMhiNqLYw2JwFvyA5Vq6fjQn9LElnNGxjKZzfivufvM2u6q6Ruk6iqEjWMmMwQFNR2cvajo/lvW157xO4xbmfvAQzQ+VROHXqlM3kZnsoKChAfn5+3yu6Ma5m/DQq2f1Y/Dx8IBaI+tzOYGSQe6xsUMf+7miZXeXVEoEYfh7sUQoNSucdMimRCjF/WSLuTk+xKoPvDaO2azq8H0+JW8TXMCNCA49RfQ+XtXmdGAaUkQHPaARlZIA+PnjsvU60VAphgD9LprUxCNhZsHwGE+PHsXAuvy+hV4bqpZqXlzcoPfLy8mwmXBK6sLxOzt4qQGfQsZalAvuS3pva1Kwy6YGg0jBoalMjwEfS57pderWYl3UGfe8rOwmjYwIxOiYQjbUKlBZWo7ayFfXVbdB0dl8TkUSAgBAvyJVGyFsuwYvuCn3xZP697ZaF6ToJ9Xp4qrUQ6wwQ6fWgexgzBh4FDZ8PtYBGu1gELZ/90u/PdeLJZEB99/BfRqe7ydqODfH8ODbE+HERhircNNikPIVCMSR6uCqWD0RnDxPqjew8BoGdeTQqzdAYH/buh2/xFa43Or/xY8IvSG4OXzEMA53GAIPBCJrmQSCiQVEUWn/8CXV53Tk/PDvzaC4X1yKsWQGJrvf/L9rIQKrVQarVwVepRqeAj2YPCVSi7mPYe50s+/o4s/Fj+WFDjB/Hghg/LgKPx2PdXAO90QZbei2X96+xnbth79dgby8xR8OyWaC9HhWpaGgePfbuR2+RbMrnueajj6IoCMXW52ZpVBj7MCo6VVocyj2Pc/mVNzV8bCHR6RHa2o52sRD1nlIYeTy7rxNjUbjhrMnOgHWCs7MXN7garvkEcEOGyvhJSRlcX43Bbu/q3Mz4sSd8ERTmjej4kH6NIRhOBDT75aTSqezabpSXGFIRNajQl1REYZSXfa0CLPWy10PlKlAW1Z/GmzTca6xVmCvKBDQPPB4F4wBGV3iqtZBo9WgO9LT7Olnq5czGj6vl97ka7vUEcGGGKr6cnJyM+Pj4ASU9JyQkICkpqe8V3RjL62QwGFB2sQ75h6+wRhhYounUoeJKIyquNCLv0GWERvkiec64PrvyDjd+HuyE20ZlC9Q6TZ9JzzSvaxTCzoO9l2f3xd0zRoPm9e0N69Sp0ahsYcn8PUYN+LjOiDAwkLWsrW+AsbMTPAk7D6exVoFdHx83G94UBfh5ibtmd/F4UIiF6BTwoeXTMFIUeAwDod4AiU4PuVoL2uK5wzcaMcVgQEt9e58Gu0GlgrZHvg8ACIPsa5bpiBDjx7EhV8NFsHSpWvb9sReKorB+/foBbbtu3TqHDM04EiJRt1Eg4IuhrpXju+y8mxo+tqi61oxvt5/E/p2n0anSDrWadhMiDwRNsR8jlW3VvazNZsmsqEEd297tK9vYTQ1pHg8h8sBe1nZNhOFhoCxevupr7CaCnSot9mw7yfI4AkBIoCfq5B646ueFRk8plGIhdHwaBpoHHZ+GUixEo6cUV/28UCf3gMHCIB0lFWDPtpN9/k41FvpQNA1ReFh/T9VhsHwGE+PHsSBXw0WwHC2hVCoHvK/09HS7J0WbSEtLQ3p6+oCP6S6YcqrkUj/Mi18FvbLvCpibUVJYjc83HUZjLTeJ5gJagGALQ6K81T7jJyJQhkUzIgZ03LtvCUegXIxOpRZatf6mieMVFvoEewY6XYPDwcITCiEKD2fJ1GXsEvZDueetmieGRPrioWfmYe7t47vcQDeDoqCQiHDd1wudN4al+nmJIRLSULarcSj3/E03V1+7xloWhYU5ddjL8hns4eHBkSYEW7jXE8CF8fT0RFNTd++SwVRt0TSNHTt2YPny5cjNze1z/bS0NOzYsYMk9NmBTCaDXOqHmZOWQcAXQ69nJ0VKZSLETA1FcIQP/ILkEAhp6LQGNNYqUFPegotnqqDqYHfqVbarsevj47jXjm69w0G4dzDLu3Ku9gLmjZth17Z/WToF1Y1Ku0YnmMqto2QCeF2pxwcv7Tf/7WY5UWdriq30dUdEoyOhvt7tXenIPw3fhQsAAGUX61iDU4Euw2dx5jQIBDTW3xOLvMJSVHf0nbtjoHmo8vFEIvQI9+r2dJYUVmNCfChGx9j2unWcYvcfXz62AAAgAElEQVQIE42OtLmes+CKc/xcCeL5cRGGeoKwVCpFTk4OsrKykJCQYHOdhIQEZGVlIScnhww1tRMPiSemT7wHAn7XS8RwozpKJBHg9t/HI/PZ2zBrwSSMiw2G9ygPeHiK4T3KA+NigzFrwSRkPnsbbv99vPWMp06dXaGF4WCC/zjW8tWmclQr7GtOJ+Dz8Oaj02/qAZJqtAhrViCySYFoPjBWLoJWzQ7NmHKi8g5dxuebD2PX1mO4VlKPqrZa1lBTAIgJGG/nmbkWHnHs4aWdpZegKe/6v8k/fIX1N5FEgAUrEiEQ0FCpVPjDvb/H7jdXovb8PruOdffMSLz8ygKILX6nlscxoSkvZw01BQCPyZPtOpajMpTzFglDD/H8uAi2hugxDINTp04hLy8P7e3t8PT0REpKCpKTk+3KzaFpGhkZGVi9ejXy8/ORl5cHhUIBuVyOlJQUJCUlkRyffqJp9IRY0P0QNBgMCIn0xYIViZDJuwyim103muYhNjkckdH+2PflaVRfbzZv097WiR+/KcSdf5g6oqXxk4MnQi6SQaHpftj/UpaHpfH2hU4FfB6evS8B990+DjlHruG7o2VQabo6CAe0q+Cl1cHPSwx/L0+IhPZ5F6uuNaPq2kloAxRgQilQwq6wmFwkQ1xQTP9P0gWQJSWC7+UFfVubWdb60wHQC5ZY5ZzNWjAJMrnYashx2eEPUVP4LQJj58M/Zh4E4m4Pm06tQMPFA4gN1OKpZdtB0zRmLZyEH3d3F09UXWtGY63CykPZ+uMB1jLfywuyxKlDdu5cQDw/jg0xflwEyxvrwIED+OCDD2xWbSUkJGDdunVIT0+3K1RFURSSk5NJ5+ZBUnaxDp0t7FtO0VlvDi0YDAZkZ2dj06ZNfV43mVyMmQsn4usPj6G+ug06jR5GI4Pqa80ozq+A1yiPESuN5/NoTI9Kwn9KDplleRUFuCN6NrwlfY9QMBEeIMO6e+KwdkksLl9qwP4v8qH15EFA8/pMN7GF3qhHxYVmGK/4gpfaCkpuwPSoJKveRO4CxefDa+4cNO35zixT/HIUtV5sj5Ap9ArYHnKsbqvB9WPbcP34dgilPqCFEhi0ndCqWgDGiOsAsrNvQ0ZGBmKmhuLYfy+yQrWlhdWs36OuuRmKo8dYx/CaO8eqN5GzQYwfx8a5f10EM5Y31ldffdXrugUFBcjMzEROTg527NhBQlYjRP7hKyxjU6dX41LDAXNooecXti1M123v7oO4Z8GDqK9UwKA3mg0fE+2tnRBLhSNaGn9LZDL+r/QwjDcSj7UGHXYWfoeHp91v0wN1syaOLfXtOPjVGUBngJDPjsz3Jyeqvr2xSx8ND8YTPuBPb8Utke7dh8pr7q1o/jbXnCBu1Gpx9b8nAN/u/JqYqaGgaV7fQ44ZI7TKJsBGbcXmzZuxevVq0DQPMVNDWRPnaytbu3fBMKj7ZBuM2u5wLUVR8J47dxBn6RgQ48exIcaPizCQeHJubi6WL1+OnJwckqw8zDTWKlB1rZlVZXT++iGomAar0EJvCPhiTImaB31jAH7adxRxcXGg+Tx4jfJAS0N3yEmj1kOnNUDQI0RkCgNNiA/BnLQ4SKRCW4cYMN4SL6SEJ+DX8jNmWXHdJfxafga/iUwEYF8TR98AGYpOVUCvYyeCiyQCzFowyfxitjr+jbyoW+6IwcUzVfjum+NQ6jq7V9BRkJ+LhOj39jXbc1UEvr6Qz5qJtsNHAHTNJG2s6wB4reB7ewMAgiO6hsAOxZDj5ORk8/5M1Fe3gWEYUBQFxeEjUJ49x/q7fNZM8H3Z2zgjJOfHsSHGj4sw0K+K3NxcZGdnIyMjY4g1IvSk9EYljcnI1OiUqGgshkDAx/bt2/s0fORSP0yfeI85X6ixsQm1tXUIDg6CVCZCW7MKRkN3UzVVhwZevtYevZLCalRebcbijNQhD4Utjp2Pi/WX0KbufujnnP8BwmYZruY12tXEsfB4GVQdWojEfHh6SyCWCvudE+U3QYyW5EugTkrAtHQl3PJ5NLwpHxzKPY/5yxKH9LydDf8Vy6E8ew761lbowYMWNKi6evAkUvBEQvPvYqiGHFv+zjSdOug0BqC5HvWffcH6G9/bG/4rlg/quI4C8fw4NsT4cREGc2OZXNQkeXn4MLn6BTf6llQ0FINhjNBqtXj77bdvum3P0vieVFVWYsy4CExMDENDdRvKLtaDoigwDAMfPxnGTwke0dJ4qVCCpfGL8PGvnwMAGC0F1Rkxsmt/QphXcJ8jJdQqLVQdXeEPjVoPTW07AsO8MX/5VHPybV85UQ8+9jDqQjug4WtATdMAv3qDaREgQOYHmsfrs9zaHaBlHgjMXI2qt96BEV33PGM0QlNeDnFUpNljOFRDjgU2ktTVdfVofOsNGNXsvkKBD2SAljl/Pxyj0Yi2HonlAJl76GiQUncXQasdeImzyUVNGB4YhkF9ddeDUCjqCjc1d3T3VDl/vvfmbwK+mFUab0KnV+Nw4TdI+K0PZi2YhCm/iQJfQIPm88AX0NBq9Zg5f+KIl8bHBU1ASng8GAUN42FfMNUi6I16VLXVQGu4+TDN9tZO1jKPR4HHo7Bzy1FUlNVh8eLFyMzM7DUUc+F6Cd4/tg2/5B2F0WgARQNUogLenp7wEHZ7wXort3YnZFMTIJ9xC3jozhVj9Hqor12HsqLrtzlUQ451WnYI06jRoObNN6FrZo8ckc+4BbKE+EEd01Foamqy6vAcGOi+BrcjQjw/LkJra2vfK90Ek4va1Rhsuf9QoNMYzPktPB4PAgEfClWjXdtOiZrHKo0HgOb2Spws/R4anRL5+aeQkpKMytqrqKqqgsFgAE3TkHvKodXoIRILbJbGAzB33R3qMNC8gDk4m90Elabb46Qz6lHRWo1Q/wDcckssgiPZCctXimrx/eenoNMZYDR0vZC9RnmA5vPQoejEi+u24vCBE70e02dSIEJuHQNaSKOpqQlFRUWYHDcZkUHBuG3pbBz6trvRYW/l1u5G4Op0aKprIDxngBZd3hlGr0fxxi0QZd6NlEE+D0xDjnt2H9e3tgL1NWDEzawKPvGY0Qhc7Tod4mtq2CNVKIoixo+DQTw/LoJgkG3gTS5qV8FgMGDbtm2YOnUqUlNTsXbtWmzYsAFr165FamoqEhMTsW3bNhgMhr53Nmhd2AMOhUIh9Ia+PS6B3qMR5jeRJWtur8TRC99Ao+sqsTlw4ACmTp2K+QvuQGnpJVy5chWlpZdwKj8fM26ZaT5HmVyMxZnTEBLJHkRaUliNsot1gzzDbjpVWvzwaQGCxEEQ0T2SqgUMMLkNVUnnUOybD78xUlYTR02nDt6jPBAc4QMffw8IhDSksq7uwLW1dWhubLPpARPIhBi9OBbhd4wH3SO80tTUhI56Bf40/Y+YnBxl3peJ0kL7RnC4MjyxGOHPPAlfL3ZYqrGTj9p/ZSH40BHMmDJlQPvuOeS4prwFjE4PTXkFtDW18IaSZfiIwkIR9vST4IldJxm9upr9+/L39x/0M5owtBDjx0UIDh5cy35XikerVKo+QySmsvElS5ZApVINqz6W1UkioQh8uu9qq/GhqaxlnV6Nk6Xfw2jsdqfv2rULhYWFNvdXWMg+R4GAxoIViRCJ7eu6OxBM86FoHg+hXsEQ80WgfHTgzW4GFa4GxQOK60rxzO6XsX7Ls3jxf/8HW7ZsQcGpiwC6vpA9PMWYt2QyQqO6DLXKyq4uxGKBDFOi5nX9e5QUofPGYcKqJHhGWVcGqWrbcfpfRyAVSMzl1j3pWW7tztAyGcb//rcsw6NC7wUjAyjPnsPLwWG4z9sXofz+vbhNQ45VZddRkHMM6itXYLgx68qH1x3eFI8ZjfC/PgfaxSqhLD0/g30+E4YeEvZyEebOnYsXX3xxwNubXNTOjr1l4yZGotxfIKIhkgjMoS+hSAi51A9Kde8vYLnUD6M82ROtz18/ZPb42Fq/Jzq9Gnpjl3ep5znK5GK7u+72F8v5UDSPh+QpE6FNrEN+zVmAYVBbV4vKikp0KLsrwpRVCkxu+S1kAk+EBIYgOCgIUdEBmHNXAD56/Tt0dChB8QCegMbo0fFg4nXQh3faUgEA0HKhHlUHLsOoM+LXE3mIn5IAvyC5ubwaYJdbuzsxqaNx6th16GpqoVcooGYEKNd7I0rQihA/PyyJjMLsxkZc0WpwplOFcq0W13VaaGwMkxVTFO6//bdI8w9A+Uuv4EJxIzo07N9xGL/rdy+fcQsCV6e7lMfHhKXxExISwpEmhN4gxo+LMHPmTNA0PaAwTk8XtbNjqyNtXwx3uT9FUQgI8ULFla48H5FQBF9ZCGqau2YZeXt7W+VshY5ij2Awlcb3hq+M/XBtVbJDWT3P0Z6uuwPB1nyou+5LgUwuRuy18Xgm60U0tlsPMPUM9oEHvMAAqFLWov5aE5SXyyFrEaHQ8zxEwTII+N1hqwhhHK7Cugxb16FF6+FmeHcGYfq4KfDyCMTuD8/g19B66HUG1Fe1QSDiQyjiQyoTQqcxQCgmj0C/IDnCxvihiscDLZdDW1uL85pgBNIdkPD0iJ00CUXFxUBjI8YKu69Dg14PpdEIPRjwQcGDx0NMUBBi/QLQtPNrdBr5OKdhz1Hz4ykxapQEgZmPQDbV9sxAV8Ay7EU8P44HCXu5CBRFISBgYN17TS5qZ6fPjrQ3YfPmzeaut8NBUJi3+d9CkRDh/pNAUV23n63r5isLYi2bSuNtQVE8hPtPYslaOqwHi5rOcTjCQKYmjj3pOR/q74/9DYf+dy+ai+rAGNn/zxTDfgzpDDocPPMzrjZeRwvdgjq/S6y/e2h9INJ1h0kYIwOmmAf/k2OR6rsI0aHT4OcVCQFfbP4YoHgUjEYGmk4d2ls7UVfZht2fnMC1kvpBnberkDR7LACA9pRBPGY0jF6+yNNEwMBQ4NE0JsfFISYmhtWoz5/PR5RQiHFCEeJ8fTErLg6T4+LAo2kYGAon1eHQge1NTZwWiqjX/uHShg9Awl7OADF+XIiJEyf2vZIFaWlpSE93jSqLoehIO1xEx3d7ZoRCEUQCD4T7dRksWq0WaWnsIaBeHuzKkJ6l8ZaE+02CSMDujVLZeMFqvZ7n2FvX3YFimUBsaz6UQaNH5f9dwsWsPNSdKIdO2RWWYyhro66tqQ21dbXg03y0SGug57F7FXmrgqBTatH0ay3EP/pijCIFPlLr0IIplGlpcAFATUULvt1+Evt3nh7ykn9nY3RMICbc+I1SNA1hSDCUo6fgVMg86GS+AEUhKDgYycnJSEpORnR0NMaMHYvo6Ggk3Zj7FxQcDFAUOo18/NIZhSajh3l/Ar9RiL/7FiQ986BL9PHpCxL2cnyI8eNChIWF9b1SD9LS0rBjxw6XGW0xFB1phwu/ILk5gVci6cpxiIucA5HAA+Xl5di+fbvZAOLzhFZVTb2VxosEHoiLmsOSNbVXor3TOrwEdJ9jr113B4il5+hm86F0HVrUnSjHhU/ycH3vBTQWV0Gr6+yatXADsc4TlZWVXb1mKAYt0hqAYWDUGqDr0EJfokfVF2WI096GEHl0r3r11mvG1EMI6Kp4+3zTYVZJtjsyJy0OHp7dvztKwEcL3we/BN2B9gV/hOfsWRBHRUHu7Y2Q0FBEREQgJDT0xjWiYGSAazpv/NgZjRaBL/jeXhCFhkIyfhy8x4Rj7jLXa6XRG2VlZazl0NDQXtYkcAUJeLsQ48ez4+symcxqvgzQ/6nuzsJQdaQdLpJmj0XVtWZIJF0N9wR8MVKj78LRC9+gpqYGOTk5yM7Oxvvvfmi1rd6gRUJCAsaNG4ddu3YBAHg8PlKj74KAZhtKl6pO9qrDzbruWpbk20vPJo4m7JoPZWTQdqkJbZeaUD3xEvy9I8ET0KD4PGjKtbjaWYg1/1yFwtITKL2YB2mgj9k+8mT8MXPiUisjEbiRH9VQjFFBHlj74t8hFPHxy/4LOPNLGTRqHVQdGgiE7EffcHW9diYkUiEWZ6Ri18fHWXPXNBo9jp7XQyqLQMyM6QgKkcPL0A6mpRHaTi2amzpR32rE5fJOaIw0BGIRBD3C6CKJAIszUod8npyjolAoUFvLDjtbPpsJ3EOMHxciOpr9Bezr64uDBw8iLy8PCoUCcrkcKSkpSEpKcokcH0uGqiPtcGEKLZQUVkMoFEKr1cLXMwwzJt6D82cvYtKkScjIyMB9K+7HG0/vgkKhMDctfOIf/4fZc6fjgw8+wK5duyASeCA1+i74WlSEVTZeQF1rWS8a9O4JAaxL8u2lZxNHE/2dD9XcUQs/r0gYtAZAa8AofRhOnfsBykst+PO9a/DYo38BcyM1iqJ48PUMQUtHDStUp9Orcf76IVQ0duVHZf09Cz5+MhgMRpRfaoTEQwiJhxBevlKEjR6Fxrp29kv+Rtfrletnu82L2hK/IDnufWg69mw7CWU7e/SEqkPDms7OhgeIPKxCCR6e4mGZI+fIXLrEzlHj8XgYO3YsR9oQeoMYPy7EhAkTWMvl5eWIjY11yc7Nthhsuf5IlPvPSYtD5dVmSKUS80gSX88wnNxXg9hxFYiZGgqhiA+/AF+WMRcaOBoURSEpKRkR/nGIi5pj5fFR6zpw9tqBmx7fVtddoOvrXCAamBfQlseov/OhqpouIjp0Wrc+N3KiFAoFHn74YXy7+3vgRuRPJvYGj6JBgQJzYzxDz67XQFdId+LEidiyZQvqr6uhqvWA3FMOT7knKIrCrXfHQSwVjljXa2fCL0iOletn41DueVbrgv4yIT4Ec9Li3M6QLC0tZS1HRUVBJBL1sjaBK0jOjwsxbtw4K5nlV4grk5ycjPj4gc0GGqlyf1NoQerBfhgq29X4cXchsjb+hF/2X4BQyIdeZ4DBYIReZ8DZE9dxZF8xCn9sxaz431sZPjq9GscvfAOdnv213hPLrrs9CQjxGrA30JbHyORZstcbp1A1oqm9kiWLi5wDqVgOmqbxwQcfwc9vFIR8sTm5u6fh07PrdUJCAq5du4bp06fjL48/g7yD3V2vT+WdQpuqFj7+HiPW9doZkUiFmL8sEXenp5hz1ewlNMoXi1alYv6yRLczfACgpKSEtWzpkSc4BsTz40J4eHggLCwMlZXdL5HS0lJMGWCLemeDoiisX78emZmZ/d52JMv9/YLkCI+ncfVah3luV+eNLtOm0EJbs4o16LO+WoHgCG9QFIWwsHBcvHjR/De1rgPHL3zT57ww0zkaDEZcPFPF+lvPUvz+YtnEEejyLHmP8uiXN+1S1UmMiukO4wn4YvAUwdDpDFC26RAXF4frl2vRqdRAp9eBYRhW1+spU6aAoigUFBQAsJ0T1d7RgS3bX8Wpq99hx44dkEqlWLAiEZ+9cwgadbf++YevuPXkdxOjYwIxOiYQjbUKlBZWo7ayFfXVbaxrLZIIEBDihaAwb0THh7hViMsWlp4fYvw4JsT4cTGio6OtjB93Ij09HTk5OcjNzbV7Gy7K/WPjx+PFl/6GKVHzEOY3EapO9ogNqUzIMn6MBiNUHRp4eIoRFBSIxsYGNDY2obLxAs5eO3BTjw/APseLZ6pYDQ4Bdil+f7Fs4gh0eZbGxQabvXH2tCCoay1DZeMF8zwzT5kM+k4+9mT9Ch9/GfQ6A/i0EJ5yISiawahgKaRBStyV+QYSExPx8ssvY+/evQDQZ05Ubm7ZiHS9dhX8guTm/wuGYaDTdHklaZoHgYh2yRzCgUKMH+eAhL1cDMsbzRGMH4ZhkJeXhy1btmDjxo3YsmUL8vLyhqWpIE3T2LFjh1XfnN7gqtw/OjoaOr0a+Zd/wImLu1HTVAa9vntml0DIh8ii+3BbkwoGvREUReG2BTPA96tH/uUf7DJ8TOfYoVDjyA/sTtGhUb6Dfslbeo4unqmCwWA0e+Ps5ey1A1DruioUQ2+0bqi61oQDOWfR0tg92kPmKcX4CWPwwquP45FHHkFxcTH27t0LiuIhwj8OtyWstjJ8LHOiTF2vga7SfDL81D4oioJQzIfEQwihmE8Mnx4wDEOMHyeBGD8uhmXS84UL1s3uRgquJqtLpVLk5OQgKysLCQm2O8kmJCQgKysLOTk5kEqlQ3p8exgzZgz4/C7jpq61DL8U7cSkWZ5ImTMO4WP9IJIIIPOWmNfn8SgIRHzwBTSWPTIDKx6djZ17tvXrHHU6A/Z9eZoV3gGA5DnWuWL9xdJzpOrQmENr6enpdhujptwlXz8vBAV1hZ2U7RpotQZ0tKmhUeug1xnA41GIHO8PtUqLlsYObPvgK8RGzMadiQ9j6tg77c6JGs6u1wT3o6amxirJ3/KZTHAMqOFs6T/UUBQVC+C8afn8+fOIjY3lUCPH47///S/uvPNO87JEIoFCoTC/aEcKlUpl94BRk2diOIwQhmGQn5/vkOX+CQkJrHDQ22+/jccffxxAd2jhP1+fweWiWnNDPgAIifTFghWJkMnF5nX7OscOhdqqsgnoqsgZqsqmXVuPsUZciCQC3L9+DmRyMVQqFZYvX25XODItLQ3/eOEd/PB5IdpaVFC2qWE0Gs09figKoPk8yLwk8B4lhVrdiVM36c7dV05UXl4ekpOTcbmoBns/796PSCLAmr/dwfnvhOA8fP/99yxDXyaToa2tDTwe8TNYUlRUhLi4uJ6iOIZhikbq+CTnx8VITGS/yDo7O3HhwgVMnjx5xHRwpMnqFEUh+Ub7fUcjKSmJZfycOnXK/G9TaOH2e+JRV9nG6rlSfb0Zn71zCLMWTjJ3Uu7tHE3JzUd+KLby+Hh4ijEnLc5qmwGfz40mjiY0nTrs+/I0FmdOM3vjsrOzsXnzZnNSck8SEhKQef9jCJRNwIGcYggENLSdOuvwKEXBaGCgVmpR16mDTq+BkC+G1kb4z56cKJPx01vXazL8lGAvliNypk6dSgwfB4Xc1S6Gn58fIiIiUF5ebpbl5+ePqPHjiJPVHZHk5GRkZWWZl23NFuu1665ahx93F+LYfy8iZmoogiN84Bckh0BIQ6c1oLFWgZryFpvJzcDwdN3t2cTRRPX1ZuzJ+tXsqcrIyMDq1autPFXxUxLRViFA6dlq1DS1wKA3oqmhHRSPgkBI3yj7Z0BRgNkPc+MfBj0DudQfGp0SHepWMIwRTe2VuFR18qYNH00MR9drgntieQ+PRPsMwsAgxo8LkpycbGX8rF69ekSOPdjJ6qtXr3abMIPlg7GkpATt7e1WvXEG3nXXNsPZddfUxLE/nqrGWoX53BiGgapDg7YmFYw3hpHyaB4EPAqMRm+eF2Y0MgADgOrykjGMETweDQEtxC9FO1HTctlunYej6zXBPbE0fhzR40zogtzZLojlS3U4p5Vb4siT1R2NKVOmsHKxGIaxGQ4CurvuThhESTrQleOzcv3sYSvhNnmqRBIBS27yVGVt/AlH9hXjclENWpuUKL/SgC/fP4LGWgVam5SoKW9BS4MSRiMDHs2Dp5cYowI9ETneH6NjAhE2ZhSCwn3gF+iJkCgfhET6wj9Ehqb2KrQpG6DVqzF17J2QS/3s1nk4ul4T3I+amhpUV7MrBInnx3Ehnh8XxPKGKygogF6vH5Gk56GYrO4uX0tisRixsbEsYzE/Px+zZs2yub6p6+6E+FDkH77Cyq/pi9AoXyTPGYeoCQGD1rsv7PVUGQ0M6ipbrUJLPB4Fr1EekMpEoKhuT9XhvcWouNIIvoCGxEOIhBmj4Rcox5F9xZDJPNDR0VUKL+CLMX3iPThQuL3PNgDD1fWa4H5YfrjJZDJS5u7AEOPHBbE0fkYy6dnRJ6s7GpZJz/Z4vpyh664986FamzqsDB+hmI9RAZ6g+V1O6egpIZCHafHV7s9Qc0kLTbPEPKOrtLAaM5+diMhof9Q1VeDMr91dr8UCGaZEzUP+5R9uqudwdb0muB8k2dm5IMaPC8Jl0rOjT1Z3NCyTnk+ePGn3to7edfdmniq1SgtVh5a1vlDMh3+wHBRFITjSB/UdJXju9b+ZjUO51A9zp6wC0NX9OTQsDMX55ZicGoUNr6fj4T+8iLbGbgMwzG/iTafcD2fXa4L7QZKdnQtilroolqGjY8eOjchxnWGyuiORmprKWi4tLUVNTU2/9+PIXXdHxwTi3odvwcp1s81NHC0NH76AxpRpUUi9dTzueTgVn37/Oh576gGWV6zn8NP2jg5cvHgRb7/8KRrqWiASC/Hmv57BKD8v1n7Hh7L/f02MRNdrgvvAMAxOnDjBkhHjx7Ehxo+LMmPGDNbyzz//POh92jOmwhkmqzsSCQkJVt6uQ4cOcaTN8OIXJMctd8Zg9u8mwcffAyFRvgiO9EFIlC9WrpuNZY/MwLTbx+ORxx7otVXCpSq2Z6y5sQ1PPfi/0Ki18A/0weMv/BExMTHwlHUNjB3lGQZPySjz+iPZ9ZrgPhQVFaGhoYElmzlzJkfaEOyBhL1clFtvvZW1fOnSJVRVVSE0NNT2BjfBYDAgOzsbmzZtslnJlZCQgHXr1iE9PR00TTvFZHVHgaZpzJ49m/WyP3jwIJYvX86hVsNLaWE1KIpC16WmIJWJMDGxaw5XXz2iLIefAkBbow6vb8jGky/dj0lJERg7PhLBwUFob2+HQqHA5N/8DSHRon51vR6JxHCC62D5cRkZGYmoqChOdCHYB/H8uCjx8fHw9mYnbA7Eo6BSqbB48WJkZmb2WsJeUFCAzMxMLFmyBCqVql+znExwMVndUbA0VIfCS+fIWM7MMvX+sbdHVM/hpyYuF1Xis3d+xsUzVeZcHU9PT4SGhmJq3G/wyCOPIDk52ZzcXHSqAp+9c8jK8BnqrtcE98DynrW8pwmOBzF+XBSTR6EnBw8e7Nc+BjqmAoBTTFZ3FCwflKWlpVb9QlwFhmFQX93GkgVH+ACwv0eUrSGl7R0daGxowY+7C3H6yFW0NinRqdRCrzOgurwZLY0duFxUgyP7ipG18Sf8uLvQKtQ1HDfmvI0AACAASURBVF2vCa6P0Wi0Mn7mzp3LjTIEuyHGjwszWI/CYMZUOMNkdUchISEBXl7sRF1X9f7oNAZWST4Ac2Jxf3pEKVSN+KV4J8sDZGqTYDQY0dGmRlNdO2orWnG9pAH/fvMg9n6ej9NHrtoc9+HhKca9D00nSc6EflNUVISmpiaWbM6cORxpQ7AXkvPjwlgaP5cvX0ZlZSXCwsL63HYoxlTQNN3rLCdHmazuCJi8dD0nnh88eBD33Xcfh1oND7ZmZZlmavW3R5RC1YgDhdsxJWoewvwmwmDoGk9B8Wz8phhrkYkJ8SGYkxZHPD6EAWH5oRIVFUXyfZwAYvy4MPHx8fDx8UFLS3fn2p9//hn3339/n9sOxZgKU7m9I09WdxRuvfVWK+PHFbE1K8s0U2sgPaJ0ejXyL/+AysYLmJL8LACAMdqwdGzYQyPZ9ZrguljeqyTk5RyQsJcLw+PxrPJ+fvrpJ7u2HYoxFQT7sfTSXblyBaWlpdwoM4wIRLTV3C/TTK3B9Hiqay3D3auSsHLdbIydFASRRADeDQ8Qj0eBx6MgkggQPtYPKXPGYeW62bj34VuI4UMYFHq93qqQhCQ7OwfE8+PizJs3D99++615ee/evTAYDH0mF5MxFSNLQkICAgMDUVdXZ5bl5ubiySef5FCroYeiKASEeKHiSqNZVlPegnGxweYeUQPxOJp6RFEUhVFBnvAPloNhGDBMl4dn8eppDtH1muBaHD9+HM3N7IpB4vlxDojnx8X53e9+x1puaGiwa4QCGVMxsvB4PKvquO+++44jbYYXy5lZF89UwWAwgqIorF+/fkD7tDWji6K6PD5ho0c5XNdrgmtgeY/Gx8cjPDycI20I/YEYPy7O2LFjERsby5LZ81IlYypGnrvvvpu1fPToUasqElfAcmaWqkNjNlgG2yOKzOgijCSWz1LLe5jguBDjxw2wfJn0TKztDUcfU2HPqA1n47bbboNEIjEvGwwG7Nu3j0ONhge/IDlCo3xZsiP7itGhUIOm6QH3iCIzuggjSUlJiVVeXn8NdwJ3EOPHDbD8GikqKsKVK1duus1QhCCGA4PBgG3btmHq1KlITU3F2rVrsWHDBqxduxapqalITEzEtm3bzGXPzoRUKsXtt9/Okrlq6Ctp9ljWsqZTh31fnoZOZxhQjygyo4sw0lh+RAYHB7vdbEJnhhg/bkBqaioCAthVLfZ4fxxtTMVARm04G5aG6v79+6HVantZ23kZHROICRbhqOrrzdiT9avZA5SRkYHTp0+bPXyvv/662cN3+vRpZGRkmD0+e7J+JTO6CCOK5YdJWloaeDzySnUWyJVyA2iaxl133cWS2eNRGEwIYqgZ6KgNZ/MAWV6n9vZ2l53yPictDh6eYpas+nozPnvnEIpOVZiToJOTk/HII4/g2WefJTO6CA5BU1MTjh49ypKRfB/nghg/boKlAXP48GGrEk1bOMqYisGM2nAmgoKCMG3aNJbs66+/5kib4UUiFWJxRqpV3x+NWocfdxcia+NPOLKvGJeLatDapISyXY3WJiWZ0UXgnL1798Jo7O5WLpFIMG/ePA41IvQXypkSRCmKigVw3rR8/vx5q0omgm2USiX8/PygVncPg9y6dSseeughu/fBMAwnYyoYhsHUqVMH3P/l9OnTTlXmvHHjRmzYsMG87O3tjdraWohEIg61Gj4aaxXYs+0klO3qvlfuAw9PMRZnpJIkZ8KwsmDBAuzfv9+8fPfdd7P6qRH6pqioCHFxLO9sHMMwRSN1fGL8uBH33HMPdu/ebV6ePXu2U4RU8vLykJqaOqjtnWm0Rnl5OSIjI1my3bt3Y8mSJRxpNPx0qrQ4lHseJYUDn2ZPZnQRRoK6ujqEhISwPD+fffYZVq5cyaFWzgfXxg8Je7kRljO9Dh8+jPLyco60sR93G7URERFhNZbks88+40ibkUEiFWL+skTcnZ5iVQbfF6FRvli0KhXzlyUSw4cw7OzYsYNl+Hh4eGDx4sUcakQYCGS8hRuxcOFCeHt7o7W11Sz74osvWCEWR8QdR23cf//9OHz4sHn5+++/R2trK7y9vW+ylfMzOiYQo2MC0VirQGlhNWorW1Ff3QZNZ3dej0giQECIF4LCvBEdH0JCXIQR5fPPP2ctL1myBB4eHhxpQxgoxPhxI0QiEZYuXYqtW7eaZZ999hmeffZZh86JccdRG/feey/+/Oc/m8vctVotdu3ahQcffJBjzUYGvyC52ahhGAY6jQEGgxE0zSMzugicUVJSYuVJtvSoE5wDEvZyMyzj0kVFRTh79ixH2tiHO47a8PHxsSp7d/XQV29QFAWhmA+Jh5DM6CJwiqXXJyAgALfddhtH2hAGAzF+3IyZM2ciIiKCJXP0l6qjj9oYLiwN1UOHDjlFjhaB4IowDGP1rFyxYgX4fBJAcUaI8eNm8Hg8q5fqF1984dDNAB111MZwY8rR6sn27ds50oZAcG+OHz+OsrIyloyEvJwXYvy4IZbGT3V1NX744QeOtLEPRxu1MRKIxWIsXbqUJdu6dSv0ej1HGhEI7kvPXEkAiI6OdlqvMoEYP25JbGysVd+bLVu2cKSNfTjSqI2RZM2aNazlysrKfne6JhAIg6OpqQk7duxgyVatWuW0XmUCMX7clkceeYS1vH///j4nvXONo4zaGEkSExOtxl04uqFKILga27Ztg0ajMS8LBAK3qbx0VUiHZzdFpVIhNDSU1fPnqaeewhtvvMGhVvbD1agNLsjOzsaqVatYspKSEkRHR3OkEYHgPhiNRowfPx5Xr141y1asWIEvvviCQ62cH647PBPjx435y1/+grffftu87Ovri8rKSkgkEg61IliiVqsRGhrKGkT7+OOPs64dgUAYHvbv348FCxawZEeOHMHMmTM50sg14Nr4IWEvN+ZPf/oTa7m5uRlfffUVR9oQekMsFuOBBx5gybZt2walUsmRRgSC+2AZZp48eTJmzJjBkTaEoYIYP25MdHQ0fvvb37Jk77//PkfaEG7GmjVrWOG8trY2qwRMAoEwtFy7ds2qwODRRx91udC6O0KMHzfn0UcfZS3n5eU53SBQd2Ds2LGYP38+S/bOO+/AmcLWBIKz8dFHH7HuMU9PTzK93UUgxo+bc9dddyEsLIwlc5akZ3fD0lA9f/489u7dy5E2BIJro1Ao8OGHH7Jk6enpg541SHAMiPHj5vD5fKuX6q5du1BaWsqRRoTeWLhwISZOnMiSvfbaa8T7QyAMAx999BGrGhaw/gAhOC/E+CHgkUceYX3NMAxDvD8OCI/Hw7PPPsuSHTt2DEeOHOFIIwLBNVGr1XjrrbdYskWLFmHSpEkcaUQYaojxQ4C3t7dV08Pt27ejqqqKI40IvXHfffdZDaZ97bXXONKGQHBNsrOzUVtby5I999xzHGlDGA6I8UMAADzxxBMQiUTmZZ1OZ/XlczMYhkFeXh62bNmCjRs3YsuWLcjLyyMhmSFGIBDgqaeeYsn279+PM2fOcKQRgeBa6PV6/O///i9LNnfuXKtO6wTnhhg/BABAUFAQMjIyWLKPPvoITU1NN93OYDBg27ZtmDp1KlJTU7F27Vps2LABa9euRWpqKhITE7Ft2zaHnhrvbDzwwAPw9/dnyV5//XWOtCEQXItdu3ZZjfohXh/Xgxg/BDNPP/00eLzun4RSqcR7773X6/oqlQqLFy9GZmYmCgsLba5TUFCAzMxMLFmyBCqVash1dkekUinWr1/Pkn399dckSZ1AGCQMw1h9SCQnJ+P222/nSCPCcEGMH4KZMWPGYPny5SzZ5s2boVAorNY1GAxYtmyZ3RPGc3NzsXz5cuIBGiLWrl1rlaT+0ksvcagRgeD87N271+pD7rnnniNNDV0QYvwQWGzYsIG13NzcbDP3Jzs7227Dx0Rubi6ys7MHpR+hC1tJ6l988UWvHjgCgXBzjEYj/vrXv7JkMTExWLx4MUcaEYYTYvwQWEyePBmLFi1iyf75z3+ivr7evMwwDDZt2jSg/W/evJkkQQ8RTz/9NORyuXmZYRiSm0AgDJAvv/wSZ8+eZcmee+45VioAwXUgV5VgxSuvvMJy83Z0dOCVV14xL586dWrAHoaCggLk5+cPWkcC4Ofnh6effpol27dvHw4dOsSRRgSCc6LVavHCCy+wZHFxcWSUhQtDjB+CFXFxcUhPT2fJPvzwQ5SVlQHAoGd/kdlhQ8fjjz+OwMBAlmzDhg3Eu0Yg9IOtW7ean28mXn31VdA0zZFGhOGGGD8Em/zP//wPhEKheVmn0+H//b//BwBob28f1L5tJVATBoZMJrP6Yj1x4gS+++47jjQiEJyLjo4OvPzyyyzZjBkzcNddd3GkEWEkIMYPwSaRkZFWc2w+//xznD17dtCD/XrmqRAGz0MPPYQxY8awZM8//zyprCMQ7OCtt95i5TQCXX2zSIWXa0OMH0KvPP/881bl1M8//zxSUlIGtd/Bbk9gIxQKWTlZAFBcXIx///vf3ChEIDgJDQ0NePPNN1my3/3ud5g5cyZHGhFGCmL8EHrF39/fapTC3r170draivj4+AHtMyEhAUlJSUOhHqEHy5YtQ0JCAkv23HPPoaWlhSONCATH5+9//zsrjE9RFF599VUONSKMFMT4IdyUv/zlLwgICGDJ1q1bh7Vr1w5of+vWrSPu5GGAx+Nh48aNLFlDQ4M5T4tAILA5c+YMPvzwQ5Zs5cqVmDJlCkcaEUYSYvwQbopMJrPqHHzx4kU0NzcjLS2tX/tKS0uzqiIjDB133HGHVY+mLVu2oKCggCONCATHxGg0Yu3atTAajWaZRCKxCh8TXBdi/BD65MEHH7QKVb388st466237DaA0tLSsGPHDlI6Osy88847EIvF5mWj0Yg///nPpPSdQOhBdnY2jh8/zpI9//zziIyM5EgjwkhDjB9Cn9A0jffff58lUyqVeOGFF5CTk4OsrCyrfBMTCQkJyMrKQk5ODqRS6Uio69ZERUVZdXk+evQoPv30U440IhAci5aWFjzzzDMs2dixY63yGwmuDeVMX4QURcUCOG9aPn/+PGJjYznUyL148MEH8cknn7BkBw4cwNy5c8EwDPLz85GXlweFQgG5XI6UlBQkJSWRHJ8RRq1WIzY2FlevXjXLAgMDUVJSAi8vLw41IxC457HHHsN7773Hku3duxcLFy7kSCP3pKioCHFxcT1FcQzDFI3U8YnxQ7CbhoYGREdHo7W11SybNGkSCgoKIBAIONSMYMn3339vFZJcv3493nnnHY40IhC4p6CgAElJSaxcn0WLFmHPnj0cauWecG38kLAXwW78/f3xj3/8gyUrLi4e8JBTwvBx1113WXWofffdd/Hrr79ypBGBwC22kpzFYjH5IHBTiPFD6Bdr1qzB1KlTWbIXXngBpaWlHGlE6I1NmzZBJBKZl41GI1avXg21Ws2hVgQCN7z33ns4duwYS/bcc88hKiqKG4UInEKMH0K/sJX8rFarkZmZScYpOBhjxoyx6vNz8eJFvPjiixxpRCBww+XLl7FhwwaWbMyYMVaJzwT3gRg/hH4zffp0PPbYYyzZ0aNHsXnzZo40IvTGM888Y9Wm4M0338SJEyc40ohAGFmMRiMyMzPR2dnJkn/yySesthAE94IYP4QB8dprr2Hs2LEs2fPPP0/CXw4Gn8/Hv//9bwiFQrPMaDQiIyODhL8IbsF7772HI0eOsGRr167Frbfeyo1CBIeAGD+EAeHh4YGsrCyWTK1WIyMjg4S/HIy4uDirUBcJfxHcAVvhrtGjR+P111/nSCOCo0CMH8KAmT17NtatW8eSHTt2jIS/HBAS/iK4G72Fu7KysiCTyTjSiuAoEOOHMCheffVVm+GvkpISjjQi2KK38Fd6ejprqjWB4Cq8++67JNxF6BVi/BAGRW/hrxUrVkCj0XCkFcEWtsJfly5dwqOPPkpmfxFcioKCAjz77LMsGQl3EXpCjB/CoLEV/jpz5gyefvppjjQi9MYzzzyD1NRUluyzzz7D9u3bOdKIQBhaOjo6sGzZMquPLxLucizq6uo4PT4xfghDwmuvvYaJEyeyZO+++y5ycnI40ohgCz6fjy+//BJyuZwlX7t2LS5cuMCRVgTC0PHoo49aVZ0+8cQTJNzlQBgMBqtE9JGGGD+EIUEqleKrr76y6puRmZmJ69evc6QVwRZjxozBv/71L5ZMpVJh6dKlVsmhBIIzsX37dnz66acsWXJyMgl3ORivvPIK8vLyONWBGD+EISMuLs6q0qu1tRXLly+HTqfjSCuCLf7whz/gT3/6E0t2/vx5PP744xxpRCAMjgsXLuDRRx9lyeRyOXbu3MlK9Cdwy88//4yXXnqJazWI8UMYWh588EEsX76cJTtx4gReeOEFjjQi9MZbb72FKVOmsGRbt27Fzp07OdKIQBgYnZ2dWLZsGVQqFUv+8ccfY8yYMRxpRbCkoaEB9913H2u4LFcQ44cwpFAUhY8++siq/H3jxo3Yt28fR1oRbCGRSLBz505IpVKW/KGHHkJxcTFHWhEI/eeJJ57AuXPnWLI1a9Zg6dKlHGlEsESv12PFihWoqanhWhUAxPghDAMmV7NAIGDJV65ciUuXLnGkFcEWMTEx2LJlC0vW3t6Ou+++G83NzRxpRSDYz8cff4yPPvqIJZs8eTLefvttjjQi2OLJJ5/ETz/9xLUaZojxQxgWkpKS8MYbb7BkLS0tWLRoEdra2jjSimCLVatWYdWqVSzZlStXsHTpUuj1eo60IhD65siRI1i7di1LZiq+kEgkHGlFsORf//qXVT6on58fR9p0QYwfwrCxbt063HPPPSzZhQsXsHLlSjL/y8H44IMPkJyczJL99NNPePLJJznSiEC4OdevX8c999xjVUyxdetWxMTEcKQVwZJffvnFKhFdJBJxPgaJGD+EYYOiKGzfvh3x8fEs+d69e/HXv/6VI60ItpBIJNizZw+CgoJY8s2bN+OTTz7hSCsCwTZKpRKLFi1CQ0MDS/7MM89g5cqVHGlFsKS8vNymgfrxxx9bFVuMNMT4IQwrHh4e+Pbbb+Hv78+Sb9y4EZ9//jlHWhFsERoaij179kAkErHkjzzyCI4ePcqRVgQCG6PRiFWrVqGwsJAlX7hwIV599VWOtCJYYjJQ6+vrWfKnn34af/zjHznSqhti/BCGncjISHzzzTfg8/ks+QMPPMB5oysCm2nTpmHr1q0smU6nw+9//3uUl5dzpBWB0M0rr7yCb775hiWLiYnBF198AZqmOdKK0BOj0YjMzEwUFBSw5AsWLMBrr73GkVZsiPFDGBFmzZqF999/nyXTaDRYvHgxKioqONKKYIv09HSrXJ/6+nosWLCAVIAROGXXrl1Ww3m9vb3x7bffwsvLiyOtCJZs2LABX331FUs2YcIEhzJQifFDGDEefvhhq8qM6upqzJ8/n7xUHYyNGzdi/vz5LFlxcTHS0tKsGskRCCPBzz//bJXPw+PxsHPnTkRHR3OkFcGSt956y6rS18vLC9999x28vb050soaYvwQRpS3334bc+fOZcnIS9XxoGkaX375pVXVzLFjx7B8+XJSAk8YUQoLC7Fo0SJotVqW/J///CfuuOMOjrQiWPL5559beY1pmnZIA5UYP4QRRSAQ4OuvvyYvVSfA29sb//nPfxAaGsqS5+bmYs2aNWAYhiPNCO5EWVkZ5s+fD4VCwZKvWbMG69ev50grgiX/+c9/sHr1ait5VlYW7rzzzpFXqA+I8UMYcUaNGkVeqk5CREQE9u/fb+WuzsrKwt/+9jeOtCK4C/+/vXuPqqrK4wD+PRdEHjmooIZK5QtJiTR8JYigaWUB4yPTdNRGptIeauVqhuld2kplslWa5QrHGbUcMRN8pEyiKegIPjIcFR+pkCg+QBHzAvf85o8GFtcLF1Dk3Mv+fta6a8E+XvjJ1rO/7LPP2fn5+Rg6dCjOnj1r1T5ixAgsWLAAmqYZVBlVtnv3bowcOdLml9cPP/wQEyZMMKgq+xh+yBAcVJ1HUFAQkpOT4e7ubtU+e/Zswx9URo1XUVERHnvsMRw7dsyqPTw8HMuXL3eYhbOqO3LkCB577DEUFxdbtc+YMQMzZ840qKqaMfyQYTioOo+wsDCsXLkSJpP1KWP69OlYtmyZQVVRY1VSUoKRI0ciMzPTqj04OBhr1661OWeQMU6fPo2HH34YFy5csGp/6qmnMG/ePIeemWP4IUNVN6hOmzYNCQkJBlVFVYmOjrbZQFJEMHHiRHz99dcGVUWNTWlpKcaOHYuUlBSr9rvvvhsbN250qDuGVJabm4vIyEicOnXKqn3o0KFYsmSJzTnd0Th2daSEqgZVAIiNjcU//vEPAyqi6sTGxuL999+3atN1HePHj8eqVasMqooai7KyMowbNw7ffPONVbuvry82b96Mtm3bGlQZVXbmzBlERkbixIkTVu29evXC6tWr4ebmZlBltcfwQw6hqkFVRPD0009jxYoVBlVFVYmLi8PLL79s1WaxWPDUU0/ZDFpEtWWxWDBhwgSbEO3l5YX169c73K3SqioPPjeuxerevTs2bNiAO+64w6DK6obhhxxGXFwc/vKXv1i16bqOP/zhDwxADkTTNMybNw8vvfSSVXtZWRlGjx7NGSCqs7KyMkyYMAFfffWVVbuHhwfWr1+PPn36GFQZVZabm4uIiAhkZ2dbtQcGBuL777+32cPRkTH8kMPQNA2zZs2yuUOgPADxEpjj0DQN8+fPx9SpU63aLRYLxo4dazOIEVWntLQU48aNs/kFx93dHevWrcPAgQMNqowqy8nJQUREBI4ePWrVHhAQgC1btqBNmzYGVXZzGH7IoWiahg8//BAzZsywatd1HZMmTeIiaAeiaRo++eQTPPvss1btFosF48ePx9KlSw2qjJxFSUkJxo4da7MPVNOmTZGUlIRBgwYZVBlVduLECQwcOBDHjx+3au/SpQu2bNkCPz8/gyq7eQw/5HA0TUN8fLxNABIRTJ48mbfBOxCTyYTPPvvMZs+28rA6b948gyojR3ft2jWMGDHCZod2d3d3JCUlYciQIQZVRpXt378f/fv3x88//2zVHhgYiK1bt9o8rNZZMPyQQyoPQFU9JGvatGmIi4vjk6AdRPkMUFVbDcycOROvvvoqdF03oDJyVBcvXsRDDz2E9evXW7V7eHhg3bp13K/LQaSmpiI8PBznzp2zau/WrRtSU1Od+u47hh9yWOWXwOLi4myOffDBB4iNjeVeYA5C0zR89NFHVYbV+Ph4TJw4EaWlpQZURo4mJycHAwYMwM6dO63avby8sGHDBgwePNigyqiyxMREPPLIIygqKrJqDw4ORmpqKu68806DKqsfDD/k0DRNw/vvv49Zs2bZHEtISMCIESO4G7yD0DQNc+bMwdy5c22OLVu2DFFRUbh69aoBlZGjOHjwIPr3749Dhw5Ztbdo0QKbN29GRESEMYWRlYULF2L06NEoKSmxah84cCB++OEHtG7d2qDK6g/DDzk8TdMQFxeHxYsX2zw1NDk5GUOGDMGlS5cMqo5u9Oqrr2Lp0qU2ey9t2rQJgwYNwvnz5w2qjIyUnp6OAQMGIDc316q9ffv22L59O/r3729QZVRORPDmm2/i+eeft1lWMHLkSHz33Xfw9vY2qLr6xfBDTiM2NhZr1qyx2den/KSak5NjUGV0owkTJiA5ORmenp5W7RkZGQgNDbW5XZYat+TkZAwePBgFBQVW7ffeey/S09PRvXt3gyqjciUlJfjTn/6E9957z+bYlClTsHLlyka1pxrDDzmV6OhopKSk2Ozv89///hf9+vVDRkaGQZXRjR599FFs2bIFPj4+Vu1Hjx5Fnz59bPZuosZHRPDxxx/j97//Pa5fv251rF+/fti+fTv8/f0Nqo7K5efnY/Dgwfjyyy9tjr377rtYsGCBzUyus2P4IacTFhaG7du329xieebMGQwYMADLly83qDK6Ud++fbFjxw7cddddVu2FhYV45JFHMH/+fN6110iZzWbExsZi+vTpNnf7PfbYY/j+++9tgjE1vP3796N3797YsWOHVbvJZMLnn3+ON954w6F3Z79ZDD/klIKCgpCeno7AwECrdrPZjPHjx+O1116DxWIxqDqqLDAwEOnp6bj//vut2nVdx4wZMzB58mSYzWaDqqPb4ezZsxg0aFCVDyWdNGkS1qxZY3NJlBreqlWrEBoaitOnT1u1e3h4IDExEc8884xBld1+DD/ktO666y7s2LEDkZGRNsfmzJmD6OhoXL582YDK6Ebt2rVDWloaRo4caXNsyZIliIyMxNmzZw2ojOrb3r170bt3b6Snp9sce+utt5CQkIAmTZoYUBmV03Udb731FkaPHm1zt6y/vz/S0tIwfPhwg6prGAw/5NR8fHywadMmmycMA8CGDRvQr18/Lq51EF5eXvjXv/6Fd955x+bYzp070bt3b+zZs8eAyqi+rFy5EmFhYTZ3dHl6eiIxMRFvv/12o7yE4kyuXr2KUaNG4d1337U5FhoaiszMTPTs2dOAyhoWww85vSZNmuDTTz/F559/DldXV6tjhw8fRp8+fbBx40aDqqPKTCYT3nzzTaxevRpeXl5Wx3JzcxEaGorPPvuM64CcTFlZGeLi4jBmzBj8+uuvVsfuvvtupKenVznrRw3rwIED6NWrF9asWWNzLDY2Flu2bGkUz/CpDYYfajSeeeYZfP/99/D19bVqLywsxLBhw/Daa6/xKcMOYsSIEUhPT8fdd99t1W42mzF16lQ88cQTKCwsNKg6qovc3FwMGjQIH3zwgc2x8PBwZGRk2Kz3ooYlIli0aBH69OmDI0eOWB1zcXHBJ598gi+++AJubm4GVdjwGH6oUQkPD0dmZiaCg4Ntjs2ZMwfh4eE4efJkwxdGNoKDg5GRkYGBAwfaHFu9ejV69uyJ3bt3G1AZ1da6devQXooomAAAFJhJREFUo0cPbN++3ebYs88+i5SUFLRq1cqAyqhcYWEhRo8ejSlTptjcWNCyZUts2rQJL7zwgnKXIxl+qNEpn2YfNWqUzbFdu3ahZ8+eVU77UsNr1aoVUlJSMGPGDJtjJ0+eRGhoKOLj47kxqoMpKSnBK6+8gqioKFy8eNHqmKurKxYuXIhFixYpNZPgiHbv3o2ePXsiMTHR5lhISAgyMjLU3UtNRJzmBaA7ACl/ZWVlCVF1dF2Xjz/+WNzc3KTyv5vy1wsvvCC//vqr0WXS/yUlJUnLli2r7Kthw4bJ+fPnjS6RROT48ePSu3fvKvvpnnvukV27dhldovJ0XZf4+HhxdXWtsp+mT58u169fN7TGrKysG+vqLg2ZJxrym91ysQw/dBMyMzOlU6dOVZ4EevbsKYcPHza6RPq/06dPS1hYWJV95efnJ8nJyUaXqLSvv/5afve731XZPyNHjpSCggKjS1TeqVOnZOjQoVX2UYsWLWTt2rVGlygixocfXvaiRi8kJAR79+7FmDFjbI7t27cPPXr0wN/+9jc+FNEB+Pv7IzU1Fa+//rrNGoS8vDxERUVh4sSJNntE0e11/vx5PPnkkxgzZgyuXLlidaxp06ZYsGABVq1aZbPtDDUcEcHixYsRFBSEzZs32xwPDQ3F/v37ER0dbUB1Dqghk9atvsCZH7oFuq7L4sWLxd3dvcrfivr37y9Hjhwxukz6v5SUFGnTpg1ngQy2atUqadWqVZX9EBAQIPv27TO6ROXZm+3RNE3i4uKktLTU6DKtGD3zY3igqVOxDD9UD3766Sfp1q1blScKd3d3iY+Pl7KyMqPLJBE5e/asPProo1X2FQCZMGGCXLp0yegyG6X8/HwZPXp0tT/78ePHy5UrV4wuU2m6rssXX3whzZo1q7KP2rVrJ5s3bza6zCox/DD8kAGKi4tl2rRpomlalSeN0NBQzgI5CF3XJSEhQby9vaudBUpKSjK6zEYlMTGx2tmeli1byvLly0XXdaPLVJq92R4A8vTTTzv0GiyGH4YfMtC2bduqXQzt7u4uc+bMkZKSEqPLJBHJycmxOws0fPhwOXnypNFlOrUzZ87Yne2JiYmRvLw8o8tUmtlslg8++EA8PT2rne1Zv3690WXWiOGH4YcMdvXqVXnppZeqPeF369ZNtmzZYnSZJDXPAnl4eMh7773HRxjUUUlJicTHx1d7+YSzPY5h06ZNEhAQ4LSzPZUx/DD8kIPYtm2bdOzYsdoTy5NPPim5ublGl0lS8yxQp06dZMOGDUaX6RRSU1Ole/funO1xYKdOnZKRI0dW20fOMttTGcMPww85kJpmgby8vOTDDz8Us9lsdKnK03Vd/v73v4uvr6/dgfvnn382ulSHlJubK2PGjKn2Z8fZHuNdv35dZs2aVe0lLk3T5JlnnnGa2Z7KGH4YfsgBpaenS8+ePasdGAIDAyUlJcXoMklELl26JM8//7yYTKYq+8rd3V1ef/11KSwsNLpUh2A2m2Xu3Llyxx13VPvve9KkSXLu3DmjS1WWruuyevVq6dKlS7V91KdPH8nIyDC61JvG8MPwQw6qrKxMFi5cKC1atKj2BDRs2DD58ccfjS6VRGTv3r3y4IMPVttXPj4+Eh8fr+x6IIvFIl999VW1C/yB3554np6ebnSpStuyZYv06dPH7r/jxYsXi8ViMbrUW8Lww/BDDi4/P19iY2OrPRlpmibjx4+XEydOGF2q8iwWiyxZsqTa27QBiL+/vyQkJCjzLCdd1+W7776zO5PZvHlzWbBggTI/E0e0d+9eu7eua5omzz33nFy8eNHoUusFww/DDzmJXbt2SUhISLUnpyZNmsiLL74oZ8+eNbpU5RUUFMiLL75Y7aUw4Le7+L799ttGvablP//5j0RGRlb7MwAgkydPlvz8fKNLVdbRo0ftrr0CIH379pXMzEyjS61XDD8MP+REysrKZNGiRdK6detqT1ReXl7y5ptvyuXLl40uV3kHDx6U4cOH2x1YHnzwQdmwYUOjCkGHDh2ye3dQ+YDKHdiNc/z4cXn22Wer3XkdgHTu3FlWrlzp9Je4qsLww/BDTqioqEjefffdap+LAvx2t8xbb70lFy5cMLpc5e3cuVMGDhxoNwz06NFDvv76a6e+9LN//34ZM2aM3RmvwMBA+eabbxpV2HMmBw4ckKeeespuH/n5+cmiRYsa9QNWGX4YfsiJ5efny4wZM8TNzc3uTNCMGTMkJyfH6HKVpuu6bNy4UXr06GE3BHXu3Fm++OILuX79utEl19r27dtl2LBhdv9e7du3ly+//NLhNrhURVpamjz++ON2+8jb21tmz54txcXFRpd72zH8MPxQI3Dy5EmZNGmS3d/mmjRpIpMnT+aeYQazWCyyYsUKuw+0BCBt27aVefPmOezmnbquy/r16yUsLMzu36NFixYyd+5cuXbtmtElK6c8cIeHh9vtI3d3d5k5c2ajWcxcGww/DD/UiGRlZUlMTIzdE52maTJq1CjZvXu30eUqzWw2S0JCgnTt2tVufzVv3lymT5/uMKHVbDbLihUr5P7777dbt5eXl8TFxTnlA/Cc3ZUrV+Szzz6T++67r8Y+evnll5V8cjzDD8MPNUIHDhyQcePGiYuLi92TX+/evWXJkiX8rdxAZWVlkpiYaPdOvvLXQw89JGvWrDHk0lFOTo688cYbcuedd9qt0cfHR9555x2lZhEcRVZWljz//PN21wICv60HfPvtt5VeD8jww/BDjdjx48dlypQp0rRp0xovTbzyyity9OhRo0tWlq7rsnnz5hpvDQd+Wz/z3nvv3fY9r3Rdl5SUFBk+fHiNQbp9+/Yyf/58uXr16m2tiayZzWZZuXJljQvqgd/24Proo4/YR8Lww/BDSsjLy5PXXnutxt8IAcjDDz8sa9eudeq7jpzdzp07JSYmRjRNs9tXrq6u8sQTT0hycnK93plTUFAg8+fPt7uDd/mra9eukpCQwP3mGlhWVpb8+c9/rnEmDoAEBATIl19+yT6qhOGH4YcUUlBQILNnzxZ/f/8aT5ht27aVV155Rfbt28fbkg1y7NgxmTlzprRs2bLG/vL19ZWpU6dKenr6TfWX2WyWtWvXyujRo8Xd3b3G7xcWFiaJiYkMyQ0oNzdX5s6dW+MdgwDEZDJJTEyMbNq0qVE+p+dWMfww/JCCSktL5dtvv7X7OPvKr27dusns2bPl5MmTRpeupGvXrsnSpUulb9++teqvjh07yhtvvCGHDx+2+3V1XZcdO3bIlClTahWwvLy85LnnnuN+cg3o8uXLkpCQIIMHD65xJhCAtG7dWv7617/KqVOnjC7doTH8MPyQ4rKzs+Xll1+2u4Fq5deAAQPk888/54JWg2RmZsof//jHWs3OAJBevXrJrFmz5KeffqqYETp06JC8/vrr0qFDh1qH308//ZRPDW8g58+fl6VLl8qIESNq3c9hYWHy1Vdf8dJWLRkdfjT5LVQ4BU3TugPIKv88KysL3bt3N7Aiovpz7do1rFy5EgsXLkRmZmaNf97FxQXh4eGIiopCdHQ0OnXq1ABVUrmCggKsWLECy5cvx86dO2v1Hm9vb5hMJhQUFNT4Z11dXTFixAhMnToV4eHh0DTtVksmO7Kzs5GUlISkpCSkpaVB1/Ua39O2bVuMHTsWEydOxH333dcAVTYeBw8eRFBQUOWmIBE52FDfn+GHyAEdPHgQy5cvx4oVK3Dq1Klavadbt26Ijo5GVFQU+vbtCxcXl9tcJZU7fvw4VqxYgWXLliE7O/uWvlZoaCjGjx+PJ554Aj4+PvVUId2opKQEu3btwrp165CUlIQjR47U6n3NmjXDqFGjMG7cOERERPD/2U1i+KkDhh9Sja7rSEtLw7Jly7Bq1apazRgAQKtWrTBs2DAMHjwYkZGRaN++/W2ulCwWC3788Uf885//xJo1a2odWsu1adMGjzzyCGJiYhAeHs7gU89KSkqQmZmJ1NRUbN26FWlpafj1119r9V5XV1cMGzYM48aNQ1RUFDw8PG5ztY0fw08dMPyQysxmMzZu3Ihly5Zh/fr1uH79eq3f26lTJ0RGRiIiIgIRERFo167dbaxUDbqu48CBA9i6dSu2bt2KH374odbhtDaCg4Mr+mzAgAEMQ3VkNpuxd+9ebN26FampqUhLS8O1a9dq/X5PT08MHToUUVFRiImJ4c+/njH81AHDD9FviouL8e9//xvJyclITk5Gfn5+nd7fpUsXRERE4MEHH0RISAi6desGV1fX21Rt41BUVIR9+/YhMzMT27dvx7Zt2+ocdtq0aQOTyYS8vLw6f/977rkHISEhCAkJQa9evfDAAw9wQP4/s9mMrKws7NmzB5mZmdizZw9++uknlJaW1unr+Pn5VayhGzRoEGd4biOGnzpg+CGypes6du/ejaSkJCQnJyMrK6vmN93Aw8MD999/f8XgqnogKg86lQfT7Oxs1PV86erqioiIiIq1WPfccw8A4JdffqlYa7J169Y6zUhUVjkQde/eHQEBAejYsSPc3Nxu6us5OhFBXl4esrOzcfjw4YowejNBp1yPHj3w+OOPIzo6GiEhITCZTPVcNVWF4acOGH6IanbixAmsW7cOqampNzU7Uc7DwwP33XcfAgMDERAQUPHq0qULPD0967nqhiciuHDhArKzs61eBw8evKmgU65z586IiIjAkCFD8PDDD8Pb29vuny9fi1L58kxt16JUxcXFBR06dLDqs4CAAHTu3Bl+fn4OH4x0XcfFixdx8uTJij45cuRIxcfFxcW39PWDg4MrLv9ybZVxGH7qgOGHqG4qr0tJTU3FDz/8gMLCwlv+uv7+/hWDaocOHeDn5wc/Pz+0bdsWfn5+8Pb2NvzWbIvFgvPnzyMvLw9nzpxBXl4efvnlFxw/frxiIK2PNTqdOnWqGEwjIiJueXF5SUkJMjIyKhbmpqen31IYupGvr69VX1X+2NfXF3fccQeaNWtW8fL09Lzp2RARgdlsRlFREa5evYqioiIUFRXh8uXLVv1S+eOzZ8/e9CxOVYKCghAREYHIyEiEh4fD19e33r423TyGnzpg+CG6NRaLpSIM7dixA3v27KnzXUm14eHhUTGw+vn5oXnz5mjWrJnNwFr+uZeXF1xdXWEymWAymeDi4gIRga7rsFgs0HUdpaWlFYNn5YG08ucXL16sGETPnTsHi8VSr38vV1dXBAUFoVevXggPD0dERAT8/f3r9XvcqLS0FIcOHaq4/LZnzx78+OOPdVrwfis0TYOXl1dFf7m5uVX0k8lkgqZp0HW94lVWVobi4uKKPikrK2uQOoHf1rJVvnT7wAMP1DjzRsZg+KkDhh+i+nfhwgXs3bvXan3L7QhEzqY86FQeTIODg+Hu7m50aTaB6MCBA8jOzq7zwndn5eHhgYCAANx7770MOk6K4acOGH6IGkZ5IDp06JDVeoucnByjS6t3TZo0QefOnREQEICuXbuiS5cuCA4OdpigUxeFhYU4evSozTqZ+lgr09BMJlPF2qWuXbtWXGbt2rUr2rZty4XJTo7hpw4YfoiMde3aNRw7dqxiYD169Ch++eWXiktN9fmcm/piMpnQpk2birUt/v7+FYNp165dcddddzX6u9pEBJcuXbJZX3Pjx4WFhSgqKqrXNTeVaZpWcanzzjvvtFlzVPnjNm3aoEmTJrelDjKe0eGncf+PJ6J65enpWTErUpXr169XDKTlA+u5c+dw5coVu2t1iouLrdaNWCwWq3Ul5euAblwrdOPnzZs3txlMW7durfwWBJqmwcfHBz4+PjcOOFUym81WfVX+8dWrV1FWVlaxDqv85eLiAhcXl4q+8vLysuqj8o89PT0NXwhPBDD8EFE9cnd3R4cOHdChQwejS6Fb0LRpUzRt2pS3gVOjxYumREREpBSGHyIiIlIKww8REREpheGHiIiIlMLwQ0REREph+CEiIiKlMPwQERGRUhh+iIiISCkMP0RERKQUhh8iIiJSCsMPERERKYXhh4iIiJTC8ENERERKYfghIiIipTD8EBERkVIYfoiIiEgpDD9ERESkFIYfIiIiUgrDDxERESmF4YeIiIiUwvBDRERESmH4ISIiIqUw/BAREZFSGH6IiIhIKQw/REREpBSGHyIiIlIKww8REREpheGHiIiIlMLwQ0REREph+CEiIiKlMPwQERGRUhh+iIiISCkMP0RERKQUhh8iIiJSCsMPERERKYXhh4iIiJTC8ENERERKYfghIiIipTD8EBERkVIYfoiIiEgpDD9ERESkFIYfIiIiUgrDDxERESmF4YeIiIiUwvBDRERESmH4ISIiIqUw/BAREZFSGH6IiIhIKQw/REREpBSGHyIiIlIKww8REREpheGHiIiIlMLwQ0REREph+CEiIiKlMPwQERGRUhh+iIiISCkMP0RERKQUhh8iIiJSCsMPERERKYXhh4iIiJTC8ENERERKYfghIiIipTD8EBERkVIYfoiIiEgpDD9ERESkFIYfIiIiUoqr0QXUkVvlT44dO2ZUHURERHSTqhi/3ar6c7eLJiIN+f1uiaZp0QDWGl0HERER1asYEUlqqG/Gy15ERESkFIYfIiIiUoqzXfbyBjCwUlMOgBKDyiEiIqKb4wbAv9Ln20TkckN9c6cKP0RERES3ipe9iIiISCkMP0RERKQUhh8iIiJSCsMPERERKYXhh4iIiJTC8ENERERKYfghIiIipTD8EBERkVIYfoiIiEgpDD9ERESkFIYfIiIiUgrDDxERESmF4YeIiIiUwvBDRERESmH4ISIiIqUw/BAREZFSGH6IiIhIKQw/REREpBSGHyIiIlIKww8REREpheGHiIiIlMLwQ0REREph+CEiIiKlMPwQERGRUhh+iIiISCkMP0RERKQUhh8iIiJSCsMPERERKYXhh4iIiJTC8ENERERKYfghIiIipTD8EBERkVIYfoiIiEgpDD9ERESkFIYfIiIiUgrDDxERESmF4YeIiIiUwvBDRERESmH4ISIiIqUw/BAREZFSGH6IiIhIKf8DKR3TH3BXhC0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(\n",
    "    173, 8,\n",
    "    cnn=[98, 100, 69, 168, 27, 113, 115, 85, 26, 187, 60, 63,],\n",
    "    cdict={1: [173, 8]},\n",
    "    save=True, o=\"candidate_assigned\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(\n",
    "    173, 187,\n",
    "    cdict={1: [8, 10, 26, 27, 30, 32, 50, 60, 63, 69, 85, 98, 100, 113, 115, 128, 135, 163, 164, 168, 173, 187]},\n",
    "    save=True, o=\"further_assigned\"\n",
    ")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(\n",
    "    10, 3,\n",
    "    cdict={1: [8, 10, 26, 27, 30, 32, 50, 60, 63, 69, 85, 98, 100, 113, 115, 128, 135, 163, 164, 168, 173, 187]},\n",
    "    save=True, o=\"grow_candidate\"\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(\n",
    "    10, 108,\n",
    "    cdict={1: [3, 8, 10, 26, 27, 30, 32, 50, 60, 63, 69, 85, 98, 100, 113, 115, 128, 135, 163, 164, 168, 173, 187]},\n",
    "    save=True, o=\"grow_candidate_assigned\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(\n",
    "    27, 2,\n",
    "    cdict={1: [3, 8, 10, 26, 27, 30, 32, 50, 60, 63, 69, 85, 98, 100, 113, 115, 128, 135, 163, 164, 168, 173, 187]},\n",
    "    save=True, o=\"grow_further\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(\n",
    "    195, 180,\n",
    "    cdict={1: [2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 19, 21, 23, 24, 25, 26, 27, 28, 30, 32, 34, 39, 42, 43, 44, 46, 47, 50, 56, 57, 59, 60, 61, 63, 64, 66, 69, 70, 71, 72, 79, 82, 85, 88, 91, 95, 96, 98, 100, 103, 107, 108, 110, 113, 115, 116, 117, 118, 119, 121, 122, 124, 126, 127, 128, 130, 134, 135, 137, 140, 142, 143, 144, 145, 148, 150, 160, 162, 163, 164, 166, 167, 168, 173, 174, 180, 182, 184, 185, 186, 187, 190, 192, 193, 195, 196, 197, 199]},\n",
    "    limitf=4,\n",
    "    save=True, o=\"cluster1_done\"\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(\n",
    "    4, 0,\n",
    "    cdict={\n",
    "        1: [2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 19, 21, 23, 24, 25, 26, 27, 28, 30, 32, 34, 39, 42, 43, 44, 46, 47, 50, 56, 57, 59, 60, 61, 63, 64, 66, 69, 70, 71, 72, 79, 82, 85, 88, 91, 95, 96, 98, 100, 103, 107, 108, 110, 113, 115, 116, 117, 118, 119, 121, 122, 124, 126, 127, 128, 130, 134, 135, 137, 140, 142, 143, 144, 145, 148, 150, 160, 162, 163, 164, 166, 167, 168, 173, 174, 180, 182, 184, 185, 186, 187, 190, 192, 193, 195, 196, 197, 199],\n",
    "        2: [4]\n",
    "    },\n",
    "    limitf=2,\n",
    "    save=True, o=\"init_cluster2\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 975.192x662.936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_iteration(\n",
    "    29, 20,\n",
    "    cdict={\n",
    "        1: [2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 19, 21, 23, 24, 25, 26, 27, 28, 30, 32, 34, 39, 42, 43, 44, 46, 47, 50, 56, 57, 59, 60, 61, 63, 64, 66, 69, 70, 71, 72, 79, 82, 85, 88, 91, 95, 96, 98, 100, 103, 107, 108, 110, 113, 115, 116, 117, 118, 119, 121, 122, 124, 126, 127, 128, 130, 134, 135, 137, 140, 142, 143, 144, 145, 148, 150, 160, 162, 163, 164, 166, 167, 168, 173, 174, 180, 182, 184, 185, 186, 187, 190, 192, 193, 195, 196, 197, 199],\n",
    "        2: [0, 1, 4, 29, 35, 37, 49, 54, 68, 75, 78, 83, 84, 94, 101, 120, 132, 136, 138, 149, 151, 157, 165, 169, 170, 171, 177, 181, 188, 191,]\n",
    "    },\n",
    "    limitf=4,\n",
    "    save=True, o=\"grow_cluster2\"\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3-final"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}