{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib.collections as mplc\n", "import libpysal as ps\n", "from shapely import geometry as sgeom\n", "import descartes as des\n", "import pointpats \n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data = ps.io.open(ps.examples.get_path('columbus.shp')).read()\n", "chains = [chain.parts[0] for chain in data]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(8.624129295349121, 14.236980438232422),\n", " (8.559700012207031, 14.742449760437012),\n", " (8.809452056884766, 14.734430313110352),\n", " (8.808412551879883, 14.636520385742188),\n", " (8.919304847717285, 14.638500213623047),\n", " (9.087138175964355, 14.63049030303955),\n", " (9.09996509552002, 14.244830131530762),\n", " (9.015047073364258, 14.241840362548828),\n", " (9.008951187133789, 13.995059967041016),\n", " (8.818140029907227, 14.002050399780273),\n", " (8.653305053710938, 14.008090019226074),\n", " (8.642902374267578, 14.089710235595703),\n", " (8.63259220123291, 14.1705904006958),\n", " (8.625825881958008, 14.22367000579834),\n", " (8.624129295349121, 14.236980438232422)]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "points = chains[0]\n", "points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot that polygon by interpreting it in Shapely and using its draw behavior." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "poly = sgeom.Polygon(points)\n", "poly" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nifty. Now, I've implemented Skyum's method for finding the Minimum Bounding Circle for a set of points in `centrography`. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Right now, there's some extra printing. Essentially, if you have sufficiently straight lines on the boundary, the equations for the circumcenter of the tuple $(p,q,r)$ explodes. Thus, I test if $\\angle (p,q,r)$ identifies a circle whose diameter is $(p,r)$ or $(p,q)$. There are two triplets of straight enough lines, so their circle equations are modified, and I retain printing for bug diagnostics." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "(radius, center), inset, removed, constraints = pointpats.skyum(points)\n", "#p,q,r = cent.skyum(points)\n", "#mbc = cent._circle(points[p], points[q], points[r])\n", "#mbc = cent._circle()\n", "mbc_poly = sgeom.Point(*center).buffer(radius)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10,10))\n", "ax = fig.add_subplot(111)\n", "ax.set_xlim(8, 10)\n", "ax.set_ylim(13,16)\n", "ax.plot([p[0] for p in points], [p[-1] for p in points], 'r')\n", "ax.add_patch(des.PolygonPatch(mbc_poly, fc='white', ec='black'))\n", "chull = pointpats.hull(points)\n", "ax.plot([p[0] for p in chull], [p[-1] for p in chull], 'm')\n", "ax.plot([p[0] for p in constraints], [p[-1] for p in constraints], '^b')\n", "ax.plot([p[0] for p in inset], [p[-1] for p in inset], 'ob')\n", "ax.plot([p[0] for p in removed], [p[-1] for p in removed], 'xb')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cool. How fast is this?" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import time" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def demo_mbc(chains):\n", " for cidx, chain in enumerate(chains):\n", " points = chain\n", " start = time.time()\n", " (radius, center), inset, removed, constraints = pointpats.skyum(chain)\n", " elapsed = time.time() - start\n", " mbc_poly = sgeom.Point(*center).buffer(radius)\n", " fig = plt.figure(figsize=(8,8))\n", " ax = fig.add_subplot(111)\n", " parray = ps.common.np.array(points)\n", " ax.set_xlim(parray[:,0].min()*.98, parray[:,0].max()*1.02)\n", " ax.set_ylim(parray[:,1].min()*.98, parray[:,1].max()*1.02)\n", " ax.plot([p[0] for p in points], [p[-1] for p in points], 'r')\n", " ax.add_patch(des.PolygonPatch(mbc_poly, fc='white', ec='black'))\n", " chull = pointpats.hull(points)\n", " #ax.plot([p[0] for p in chull], [p[-1] for p in chull], '--m')\n", " ax.plot([p[0] for p in constraints], [p[-1] for p in constraints], '^b')\n", " #ax.plot([p[0] for p in inset], [p[-1] for p in inset], 'ob')\n", " ax.plot([p[0][0] for p in removed[:-1]], [p[0][1] for p in removed[:-1]], 'xc')\n", " ax.plot(removed[-1][0][0], removed[-1][0][1], '*k')\n", " plt.title('Shape #{}, Elapsed Time: {}'.format(cidx, elapsed))\n", " #print(removed)\n", " nonboundary = [p for p in chull.tolist() if p not in constraints]\n", " succeeded = [mbc_poly.contains(sgeom.Point(p)) for p in nonboundary]\n", " for i,v in enumerate(succeeded):\n", " print(\"Point {i}: {tf}\".format(i=i, tf=v))\n", " if not v:\n", " ax.plot(chull.tolist()[i][0], chull.tolist()[i][1], 'gH')\n", " plt.show()\n", " plt.clf()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n" ] }, { "data": { 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: False\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: False\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n", "Point 9: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n", "Point 9: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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hLSIiEiYU2iIiImFCoS0iIhImFNoiIiJhQqEtIiISJhTaIiIiYUKhLSIiEiYU2iIiImFCoS0iIhImFNoiIiJhQqEtIiISJhTaIiIiYUKhLSIiEiYU2iIiImFCoS0iIhImFNoiIiJhQqEtIiISJhTaIiIiYUKhLSIiEiYU2iIiImFCoS0iIhImFNoiIiJhQqEtIiISJhTaIiIiYUKhLSIiEiYU2iIiImFCoS0iIhImFNoiIiJhQqEtIiISJhTaIiIiYUKhLSIiEiYU2iIiImFCoS0iIhImFNoiIiJhQqEtIiISJhTaIiIiYUKhLSIiEiYU2iIiImFCoS0iIhImAgptY8wYY8weY8xav8eGG2N+Msb8YIyZY4ypfIHnlzDG/G6MeScYRYuIiORFgba0xwIdUj32mrW2ibW2GfAV8PwFnj8c+PbiyxMREZEUBQKZyVq7yBhTPdVjR/zuRgA2recaY64CKgKzgOaZqlJEADh58iRHjx495xIfH3/eYxe6JCYmEhERQfHixYmMjKR48eIXfYmIiCB//vxevx0ieU5AoZ0eY8xLQC/gMBCVxvR8wOvAPUB0VtYlklccPHiQjRs3snHjRn777bdzbh86dOicoL1Q6FaoUIGaNWue93jBggU5fvx4uqG+a9euDIM/ISGBKlWqULt2bWrXrk2dOnXO3K5RowaFCxf2+m0UyZWMtWk2kM+f0bW0v7LWNk5j2mCgiLX2hVSPDwSKWWtHGGP6AM2ttQPTWf4DwAMAVatWvWrr1q0X8TJEwsv+/fvTDeZTp06dE4L+tytWrIgxxuvyOXnyJFu3bk2z/u3bt1OpUqU0669ZsyZFihTxunyRkGOMWWWtzbA3OlihXQ2YkXqaMWYC0BZIBooDhYD3rLXPXGhdzZs3tytXrgyoLpFQlpSUxA8//MDixYtZsWLFmXBLTk5ON5jLly8fEsGcWadOnWLbtm1pBvrWrVupWLEitWvXpn79+lx77bW0bduWqlWrel22iKeyPbSNMXWstb/5bg8CrrfW3nmB5/fhAi1tfwptCVcnTpzgv//9L4sXL2bRokUsW7aMatWq0bZtW1q1akXdunWpXbs2ZcuWDetgzqykpCS2b9/Oxo0bWbt2LUuWLGHx4sUUK1aMtm3b0rZtW6677jrq1auXJ98fybuCGtrGmInADUA5YDfwAtARqIdrRW8FHrTW/m6Mae67fV+qZfRBoS25zOHDh/nuu+/OhPSPP/5I48aNzwRQ69atKVu2rNdlhjRrLRs2bDjzHi5evJhjx47Rpk2bMyHetGlTChTI0hAckZAW9JZ2TlJoS6jatWsXixcvPhMwmzZtomXLlmdCulWrVkRERHhdZtjbsWPHOSG+fft2WrVqdSbEW7ZsqW3jkqsotEWCICkpifnz5/P555+zcOFC9u3bd6YF2LZtW6688koKFSrkdZm53v79+/nuu+/OhPi6deto1qwZN910E926daNu3bpelyiSJQptkUw6ffo0S5YsYdKkSXzxxRfUqFGDmJgYbrzxRho1akS+fDr6r9eOHTvG999/z5dffsmUKVOoVKkS3bp1o1u3blSvXt3r8kQumkJb5CJYa1m2bBmTJ08mNjaWChUq0L17d2JiYqhZs6bX5ckFnD59mkWLFjF58mS++OILatWqRffu3bnrrru49NJLvS5PJCAKbZEMWGtZs2YNkyZNIjY2lqJFi9K9e3e6detG/fr1vS5PMuHUqVPMnz+fSZMmMW3aNC6//HK6devGnXfeSYUKFbwuTyRdCm2RdKxdu5ZJkyYxefJkkpOTzwT15Zdfrt2McpHExERmz57NpEmT+Prrr2nRogXdu3enS5culClTxuvyRM6h0Bbx89tvvzFp0iQmTZpEfHw8MTExdO/enauuukpBnQccP36cGTNmMHnyZL755hvatGlD9+7duf3224mMjPS6PBGFtoi1lvnz5/P666+zatWqM0F9zTXXaDBZHhYfH8+XX37JpEmTWLp0KX379uWRRx6hSpUqXpcmeVigoa1vLsl1Tp06xYQJE7jyyisZNGgQXbt2ZevWrYwaNYrWrVsrsPO4yMhIevbsyfTp01m9ejXJyck0bdqUnj17snr1aq/LE7kgfXtJrnH48GH++c9/UrNmTUaPHs3f//531q5dS79+/XQgDklTtWrVGDlyJJs3b6ZZs2bceuutREdHM3PmTEKxF1JEoS1hb9u2bTz++OPUrFmTNWvWMG3aNObPn0+nTp3UqpaAlCpViieffJLNmzfTt29fBg8eTOPGjRkzZgyJiYlelydyhr7RJGytXr2aHj160KxZMwDWrFlzpltcJDMKFSrE3XffzZo1a3j77beZMmUK1atX56WXXmL//v1elyei0JbwkpyczNdff027du247bbbuPLKK9myZQuvv/66Tu8oQWOMOdNNPmfOHDZu3EidOnUYOHAgmzZt8ro8ycMU2hIWEhMTGT16NI0bN+bZZ5+lX79+bN68mSeeeIKSJUt6XZ7kYpdffjmffPIJa9eupUSJElx99dXceeedLFu2zOvSJA9SaEtIs9by+eefU79+faZMmcKoUaNYvXo1PXv2pGDBgl6XJ3lI5cqVefnll/nf//7H9ddfT/fu3bntttv47bffvC5N8hCFtoSsNWvWcMMNNzBs2DBGjx7NrFmziI6O1sFQxFPFixdn0KBBxMXFcc0119CqVSueeOIJDh8+7HVpkgcotCXk7Nq1i379+nHzzTfTo0cP1qxZQ7t27bwuS+QcRYoU4ZlnnmHdunUcOnSIevXq8eGHH3L69GmvS5NcTKEtISMhIYFXX32Vxo0bU7p0adavX0///v3Jnz+/16WJpOuSSy7h448/5uuvvz6z98L8+fO9LktyKYW2eM5ay9SpU2nUqBFLly7l+++/55///KcGmElYufLKK/n222957rnn6NevH126dNFIcwk6hbZ46ocffqBdu3a88MILfPjhh0ybNo06dep4XZZIphhjuPPOO/n1119p2bIlLVu25KmnnuLIkSNelya5hEJbPLF7924eeOABOnToQLdu3VizZg3t27f3uiyRoChSpAiDBw9m7dq17Nu3j3r16vHxxx9re7dkmUJbclRiYiKvvfYajRo1IjIykri4OB588EEKFCjgdWkiQVepUiXGjBnDV199xbhx42jevDnffvut12VJGNM3peSYb7/9ln79+tGwYUOWLl1K3bp1vS5JJEdcddVVLFq0iClTptC7d29atmzJe++9R7ly5bwuTcKMWtqS7U6ePMngwYP585//zJtvvsmXX36pwJY8xxhDTEwMv/76K9WqVaNp06bMmTPH67IkzCi0JVulHIBi7dq1/PDDD3Tu3NnrkkQ8VbRoUV577TU+/fRT+vXrx6OPPkpCQoLXZUmYUGhLtrDW8sEHH9CmTRvuu+8+vvzySypUqOB1WSIhIzo6mh9//JHt27fTsmVLfv75Z69LkjCgbdoSdHv37qVfv37s2LGDxYsX06BBA69LEglJZcqUYcqUKYwdO5Z27doxZMgQBg0apPPAS7r0yZCgmjlzJk2bNqVBgwYsW7ZMgS2SAWMMffv2ZdmyZUycOJGbb76ZnTt3el2WhCiFtgTFiRMnePjhh+nfvz8TJkzg1VdfpVChQl6XJRI2atWqxeLFi2nVqhVXXHEF06ZN87okCUEKbcmyH3/8kRYtWrB7925+/PFHoqKivC5JJCwVLFiQoUOHMnXqVB599FH69+/PsWPHvC5LQohCWzItOTmZkSNH0r59e5566ikmTZpE6dKlvS5LJOxde+21/PDDDyQkJHDllVeycuVKr0uSEKGBaJIpv//+O3369OHYsWMsX76cmjVrel2SSK5SokQJxo0bR2xsLB07duTRRx/lqaee0lnv8ji1tOWiLV26lObNm9O2bVsWLVqkwBbJRjExMaxatYo5c+bQsWNHDh8+7HVJ4iGFtlyU2NhYbr/9dj755BOef/55HTNcJAdUqVKFb775htq1a9OmTRu2bdvmdUniEYW2BMRay6uvvsoTTzzBN998Q4cOHbwuSSRPKVCgAO+88w59+/bl2muvZfXq1V6XJB5QM0kylJSUxEMPPcTy5cv5/vvvufTSS70uSSRPMsbw2GOPUb16dTp06MAnn3xCp06dvC5LcpBa2nJBR44coXPnzmzbto3FixcrsEVCwB133MGXX37Jfffdx3vvved1OZKDFNqSrh07dtC2bVtq1KjB9OnTiYyM9LokEfFp1aoV3333HW+//TaPP/44ycnJXpckOUChLWn64YcfuOaaa7j77rt57733NOBMJATVrFmTpUuXsmrVKu666y6OHz/udUmSzRTacp6ZM2fypz/9iZEjR/Lkk09ijPG6JBFJR5kyZZg9ezZFixYlKiqKPXv2eF2SZCOFtpzjgw8+4N5772XatGncddddXpcjIgEoXLgwn332GTfddBOtWrUiLi7O65Ikm6jPUwB3SNJnnnmGadOmsWTJEmrVquV1SSJyEYwxDBs2jJo1a3L99dcTGxvL9ddf73VZEmRqaQsnTpygW7dufP/99yxdulSBLRLG+vTpw7/+9S/uuusuxo8f73U5EmRqaedxx48fp2PHjlSqVIlvvvmGIkWKeF2SiGRRdHQ0CxYsoFOnThw6dIiBAwd6XZIEiUI7D0tMTKRr165cdtllfPrpp+TLp44XkdyiUaNGLFy4kOuuu46IiAj69u3rdUkSBPqWzqOSkpLo0aMHRYoUYezYsQpsyfVGbNvGgoMHz3lswcGDjAiB43hnV23Vq1dnzpw5PPvss0yZMiVLy5LQoG/qPCg5OZl+/fpx9OhRJk2apH2wJU9oERlJzC+/nAnHBQcPEvPLL7QIgYMGZWdt9evXZ+bMmQwcOJCvv/46y8sTb+nbOo+x1jJo0CA2b97M7NmzKVy4sNclieSIqNKliW3YkJgVKxiwZAnvX301sV98QdTvv0OBAudfChYM7LH0Hr+I815HAbGFCxOTkMCA/Pl5P39+Yhs1Iqp06aC89qZNmzJt2jRuvfVWYmNjueGGG4KyXMl5Cu08xFrL4MGDWb58OfPmzaNYsWJelySSo6JKl2bA118z/PbbeW7RIqI2boRTpyAp6dxLII8F+bChUcCAvn0Z3qsXz33yCVH/+Q/Uqwf165+91KsHtWq5HwkXqVWrVkyePJmYmBimT5/O1VdfHdT6JWcYa63XNZynefPmduXKlV6Xkeu89NJLTJw4kW+//ZayZct6XY5Ijltw8CAxixczYMsW3m/enNiGDTPfmk1OhtOn0w/4iwz1BQkJxOzdy4CTJ3kfiF28mKjFiyEuDnbuPDtjgQIuuP0DPeV2mTIZrmfGjBnce++9zJkzhwoVmtK9O0yeDJdccpGvX4LKGLPKWts8o/nU0s4j3nrrLcaOHcuiRYsU2JInpWwnjn33XaIuvZSoXr3c/cwGd7587pKJVm+6tV1+OVGlSxN18CAxRYsS+9e/utqOHIH1612Ax8WdvT1rFpw8eXZBpUtD2bLu2v9SqtSZ251Klya2f3+eat+ectf+wJIllRk+3PDuu1l+GZID1NLOA8aMGcPQoUNZtGgR1apV87ocEU+M2LaNFsWLE9WkCdx4I4wZw4KDB1kRH89TVat6X1tk5Dk/HgKqLSkJtm49G+abN8OBA3Dw4PmX06fPeepOLqEmm0mgKEWLuqeqte2dQFvaCu1cbvLkyTz66KMsXLiQunXrel2OpCPTX9oSmJ074bPP4JNPXLg98gi8+abXVeUca+Ho0XNC/C+vVGX07Es5SWEKFbLcd59a214KNLS1y1cuNn36dB5++GFmzZqlwA5xobw7Utg6dQr+8x+49VaoUgWeftp1HY8eDS+/7HV1OcsYiIyEqlWhaVN21ruBT76tyUnc3iMnTxrGjLHs2uVxnZIhbdPOpebPn8+9997LjBkzaNKkidflSAbO7I60di0Ddu/m/QoVzmzflIu0dq1rUX/2GezdC5UqwRNPQN++bsCWMHz4+ePkEhNPMWSI5eOPtRtoKFNLOxf66aef6N69O59//jktW7b0uhwJUFRyMgOmT2d4uXIMGDuWqGuvda3D7747b3uk+ImPh3Xr4IMPoGVLuPyWq47DAAAgAElEQVRyePttaNsWvvoKtm2DV15RYPv5/vtzx68BWFuISZO2cerUKW+KkoBom3Yuc+jQIZo3b86wYcPo0aOH1+VIoI4eZcH99xPTrRsDChXi/UKFiJ08mahx41w3b7ly0Lkz3HKLG0RVvLjXFeeMkyfh999h+3YXvqmvt22Dw4fPzt+4Mdx7L9x9N5Qv713dYWTEokW0eOQRrh84kM5ffEGDBg3oPGSIxlPkMA1Ey4OSk5Pp0qULVatWZdSoUV6XI4E6eZIFDz1ETKdOxBYoQFTnzmd3AapWjailS+HLL2HGDDh0CAoXhqgo16K89NJzL5UqBWUXpIAcO+ZGLicnu4FO1p57O/Xl9Gk4ftw9L+U6rdsHDpwN5p073XP9lSnjts1Wreq2VadcN2wITZq47bcSsAUHDhDz3XfETplC0zffpGHPnhx/8kmmXXGFNs/kIO2nnQe9+uqr7N27VycGCCenT0OvXqwwhtgTJ4j685+Bs9u4V8THExUTAzExrsX93XcuwGfOhAULIDHx3OUZAxUrnhvkl13muobbt4eSJS++RmtdiP7447mXTZvOD9TMMgaKFYOICFdj1apw001nQzklmKtUcfNI0ESVKUPsjh3E3HEHAzZvJvGZZzAvvEClDz5w+3ZLSFFLO5eYN28ed999NytWrOCyyy7zuhwJhLUwcCC89x6MGAFPPnnxz9+/33Ufp1x27Dj/fsrZowoUgOuuc13snTtD7drnL/PECTeQKyWYf/rJXQ4dOjtPrVrQtKm71KnjlmuMu+TLd/Z26kv+/C6YU8I5IuLs7SJF1EL20rZtPP/ii+4QqtWqUXXePEaOHMl///tfiueVTTEeU/d4HrJjxw5atGjBhAkTaNeundflSKBefBGGDnVhPWJE9q3n+HFYvdoNyvrqKzdoC9xhLzt3dt3NKSG9YcPZYcUREa67OSWgmzZ124y1G1qus2DPHmKWLmVAfDzv16xJbMOGjH/iCY4dO8bEiRMx+kGV7RTaecTJkye5/vrrue2223jmmWe8LkcC9c47MGiQ2w1p9OicbWVu3uy2j0+fDgsXum736tXPDecmTaBmTddyllztzPiJhx8mqkMHFjzxBDG//MJntWrxt44d6d27N4888ojXZeZ6Cu08YuDAgezYsYN///vf+jUcLiZOhJ493UE/Pv/cdS975ehRt109M9u6JVc4czS+atWgXz94440zR+O76/RpWrVqxdSpU2ndurXXpeZqGoiWB0yYMIHZs2ezcuVKBXa4mD0bevVy+xBPnOhtYEPe2XVM0nVmt66ICDeCHzcQMmXk+JgxY+jWrRurVq2iYsWKXpUpPur7ClM///wzf/3rX/niiy8oqVZSeFi2DO64w20X/vJLKFrU64pEzipWzI1/SKVTp07ce++9dO/enaSkJA8KE38K7TB0+PBhunbtyhtvvKFDlIaLX36BTp3cftSzZqk7WkKPX0s7tRdeeIFChQrxt7/9LYeLktQU2mHGWkvfvn1p3749d999t9flSCC2bnVHMStUCObMcftRi4SaC4R2/vz5mTBhArGxsUydOjWHCxN/2qYdZl577TV+//13Jk6c6HUpEoi9e11gHz0Kixa5EdkioSid7vEU5cqVY8qUKXTq1InGjRvrzIEeUUs7jCxZsoQ33niDzz//nMKFdSaekBcfDx07uqOJffWV241KJFRdoKWdokWLFgwfPpyuXbuSmPpofJIjFNphIjExkfvvv5/33nuPKlWqeF2OZCQxEW6/Hdascbt1tWnjdUUiF1aqlDuCXgZh/MADD1CrVi1eeeWVHCpM/Cm0w8Srr75KvXr16NKli9elSEZOn3b7Yc+f787r3KmT1xWJZKxnT9i3DyZMuOBsxhhGjRrFqFGjiIuLy6HiJIUOrhIGNmzYQOvWrVm9erVa2aHOWhgwAD78EEaOhEcf9boikcBYC1dd5bZrr1vnjhV/AW+99Rb//ve/WbBggY4TEQSBHlxFLe0QZ63lwQcfZMiQIQrscPD88y6wBw9WYEt4MQaeeQbWr4f//CfD2QcOHMixY8cYO3Zs9tcmZyi0Q9y4ceM4cuQIAwcO9LoUycjbb8Pf/w733w8vveR1NSIXr2tXd/a3V17J8LSr+fPn56OPPuKZZ55h7969OVSgZBjaxpgxxpg9xpi1fo8NN8b8ZIz5wRgzxxhTOY3nNTPGfG+MWeebt1uwi8/t9u3bx9NPP81HH31E/gy6qsRjEybAI4+4I569/75OMynhKX9+eOopWLkS5s3LcPYrrriCu+++m8cffzwHihMIrKU9FuiQ6rHXrLVNrLXNgK+A59N43nGgl7W2ke/5bxpjSmWl2Lzm8ccfp2fPnlx55ZVelyIXMnMm9OkDUVEuvPUDS8LYiOhoFkRHu9a2z4KDBxmxbVua8w8dOpRFixYxd+7cnCoxT8swtK21i4ADqR474nc3AjivH8Vau8Fa+5vv9h/AHqB8lqrNQ+bNm8fChQsZNmyY16XIhSxd6roUmzRx2wGLFPG6IpEsaVG6NDFPP82C/fthxYozp+5skc551IsXL84777zDgAEDOHHiRA5Xm/dkepu2MeYlY8x2oCdpt7T9520JFAI2XWCeB4wxK40xK/P69pGEhAQefPBB3n33XYrrLEyha+1atztXlSqutV2ihNcViWRZVOnSxDZqRMyLL/L8smXuXNsNG54561daOnfuTLNmzXhJYzmyXaZD21r7rLW2CjABSHeUlDGmEvAZ0Ndam3yB5X1krW1urW1evnzebpC/9NJLNG3alM6dO3tdiqTnf/+Dm25yh36cMwcqVPC6IpGgiapUiQEzZzL88ssZULnyBQM7xVtvvcWHH37IunXrcqDCvCsYo8f/BXRNa4IxpgQwAxhirV0WhHXler/88gsffPABb7/9ttelSHr27IE//QlOnHCBXa2a1xWJBNWCrVt5v0MHntu1i/f/+IMFBw9m+JzKlSszbNgw+vfvT3Jyuu0zyaJMhbYxpo7f3VuB8w6LY4wpBPwb+NRaOyVz5eUtycnJ9O/fnxdffJHKlc8bkC+h4MgR6NAB/vgDZsyARo28rkgkqBYcPEjM//5H7NChDCtenNiGDYn55ZeAgrt///6cPn2ajz/+OAcqzZsC2eVrIvA9UM8Ys8MY0w94xRiz1hjzE3Aj8Ihv3ubGmJS/VgxwHdDHt2vYD8aYZtnzMnKH0aNHc+rUKR588EGvS5G0JCTAbbfBzz/DF1/ANdd4XZFI0K2Ijyd2716ifvgBatVy27gbNmRFfHyGz82XLx8fffQRQ4YMYdeuXTlQbd6jw5iGiH379tGwYUPmzp1LE50NKvQkJUFMDPz73263rh49vK5IJPsMHeoux49nao+IwYMHs23bNiZkcBxzOUuHMQ0zr7/+OnfccYcCOxRZCw8+6AL7rbcU2JL7bdoEl16a6V0YhwwZwty5c1m7dm3GM8tFUWiHgP379/PRRx8xePBgr0uRtPztbzB6NAwZAg8/7HU1Itlv0yaoVSvTT4+IiOCxxx7j73//exCLElBoh4SRI0fStWtXqmkUcugZOdIdGap/f9CBbiSv2LTJHYM8Cx566CHmz5/PL7/8EqSiBBTanjtw4AAffPABf/vb37wuRVL79FN4/HG48054910dT1zyhqNHYffuLLW0wR0p7dFHH1VrO8gU2h5788036dKlC9WrV/e6FPE3fTrcey+0bw/jx+t44pJ3JCS46yAcjfGhhx7im2++IS7uvL2CJZMU2h46ePAg7733nlrZoWbxYjdS/MorYepUKFzY64pEck7KMcYD2MUrIyVKlOCRRx7R4U2DSKHtobfeeotbbrmFmjVrel2KpPjxR7jlFneUs6+/PvsFJpJXFC7sLkeOZDxvAAYNGsSsWbPYsGFDUJaX1ym0PXLo0CHeeecdnn32Wa9LkRSbN7ujnUVGusOTlivndUUi3ihRImihXbJkSQYNGqTWdpAU8LqAvGrUqFF06tSJ2lkcoSlBsmuXO574yZMwfz5Urep1RSLeCWJoAzz88MPUrl2bjRs36jsvi9TS9sCRI0d4++231cr20Iht284eS/nQIejQgQUVKjBi2jRo0MDb4kS8FuTQLlWqFA899BAvv/xy0JaZVym0PTBq1Chuuukm6tat63UpeVaLyEh3EoRdu+DWW1lQsCAxL79MC50ARMSF9uHDQV3kX//6V6ZNm8bmzZuDuty8RqGdw+Lj43nrrbcYMmSI16XkaVGlSxNbvz4xq1fzfO3axLz6KrHNmgV03mCRXC8yMqgtbYDSpUszYMAA/vGPfwR1uXmNQjuHvfvuu7Rv35769et7XUreZi1RL77IgM8/Z3ivXgyoUUOBLZLi6FGIiAj6Yh999FGmTp3K//73v6AvO69QaOego0eP8sYbb/Dcc895XYq88QYLlizh/W7deK5aNd7/44+Azhcskifs3Qvlywd9sWXLlqV///5qbWeBQjsHffzxx9xwww000EAnb02ZwoLPPiPm5ZeJbdGCYTVqENuwodvGreAWybbQBnjssceYMmUKO3fuzJbl53YK7RxirWX06NE89NBDXpeSt333HdxzDytuuonYK68kqkwZwLeNu2FDVgThKFAiYS05Gfbvz7bQLleuHF26dGH8+PHZsvzcTqGdQ1avXs2xY8do06aN16XkXRs2wK23QtWqPPXkk0RVrHjO5KjSpXlK+2dLXrd/P5w+nW2hDdCnTx/Gjh2LtTbb1pFbKbRzyLhx4+jduzf58ukt98SePXDzze7EHzNnQtmyXlckEpo+/NBdX311tq2iTZs2JCQksGrVqmxbR26lBMkBiYmJTJw4kV69enldSt50/Lg7nvjOne7sXVk85aBIrrVrlzt//O23wzXXZNtqjDH07t2bsWPHZts6ciuFdg6YMWMGjRs3pkaNGl6XkvecPg09esCKFTBxYra2HkTC3vPPQ2IivPpqtq+qV69eTJo0icTExGxfV26i0M4BY8eOpU+fPl6XkfdYC488AtOmwdtvw223eV2RSOhauxZGj4a//AVy4GiN1atXp0mTJkyfPj3b15WbKLSz2e7du1m8eDFdu3b1upS8Z+RIePddeOIJGDjQ62pEQtsTT7jDlz7/fI6tMmVAmgROoZ3NJkyYwO23307x4sW9LiVvmTLFfQnddVeOdPWJhLW5c2H2bBgyJEcHaXbt2pXvvvtO+2xfBIV2NrLW8sknn9C7d2+vS8lbliyBe+6B1q3h009BI/ZFLmzJEnedw8eRiIiIoEuXLkyYMCFH1xvO9G2WjdasWcPRo0e57rrrvC4l71i/3m27rlbNbcsuUsTrikRCX9Gi7jo5OcdXrX22L45COxtp3+wctnu39sUWyYyUk4McO5bjq27Tpg0nTpxg9erVOb7ucKQ0ySYnT57Uvtk56dgxty/2rl3w1VdQs6bXFYmEj5TQPn48x1edL18+7bN9ERTa2WTGjBk0bNiQmgqP7JeyL/aqVTBpErRs6XVFIuGlWDF37UFLG9w+2xMnTtQ+2wFQaGcT7ZudQ1L2xf7yS7cv9q23el2RSPjxsKUNZ/fZ/uqrrzxZfzhRaGeDPXv2sGjRIu68806vS8n9Xn/97L7YOoOaSOZ43NIG7bMdKIV2Npg5cybt27fXvtnZLTYWnnwSYmK0L7ZIVng4EC1Fly5dWLhwISdOnPCshnCg0M4G8+bNo3379l6XkbstXuz2xW7TBsaN077YIlnhcfc4QGRkJE2aNOG7777zrIZwoG+6ILPWMnfuXKKjo70uJfdK2Re7Rg3tiy0SDCHQPQ4QHR3N3LlzPa0h1Cm0gywuLo6CBQtSS6d/zB4p+2IXLAhffw1lynhdkUj4S0hw1/nze1pGdHQ08+bN87SGUKfQDrKUrnFjjNel5D7aF1ske/z3v+76qqs8LaNVq1asX7+egwcPelpHKFNoB9m8efPUNZ4dTp+GP//57L7YLVp4XZFI7rF8OZQsCfXqeVpG4cKFufbaa1m4cKGndYQyhXYQnT59mm+//ZZ27dp5XUruYi08/DBMn659sUWyw/Ll7odwCAzoVBf5hXn/F8pFVq9eTeXKlbnkkku8LiV3ef11eO89t3uX9sUWCa7jx+Gnn6BVK68rARTaGVFoB5FGjWeDiRNdWHfrBq+84nU1IrnPqlVu89PVV3tdCQDNmjVjz549/P77716XEpIU2kGk7dlBNmMG9OoF118PY8eGRNedSK6zfLm7DpHQzpcvH1FRUWptp0PfgkGSkJDA8uXLuf76670uJXf49lu4805o2tQdV1z7Yotkj2XL3J4Y5ct7XckZ7du3V2inQ6EdJEuXLqVx48aULFnS61LC38qVbteuGjVg1iwoUcLrikRyr+XLQ6aVnSJlu7a11utSQo5CO0jUNR4kv/wCHTpA2bLwzTdQrpzXFYnkXr//Djt2hFxo165dm3z58rFhwwavSwk5Cu0gUWgHwZYt8Kc/uaOdzZ0Ll17qdUUiuVuIbc9OYYzRKPJ0KLSD4PDhw6xbt45rrrnG61LC186d0L49nDjhWtg6DKxI9lu+HAoVgiuu8LqS8yi006bQDoJvv/2WVq1aUUSDpTJn/37Xwt6zx23DbtzY64pE8obly6FZMyhc2OtKzhMdHc2CBQtITk72upSQotAOgjVr1tCyZUuvywhP8fHQsSNs3OhGiet9FMkZSUmwYkXIdY2nqFSpEhEREWzbts3rUkKKQjsI1q9fT/369b0uI/wkJLhTbK5aBbGxEBXldUUieceqVe5oaK1be11JuurXr8/69eu9LiOkKLSDIC4uTqF9sU6dckc5W7gQxo3T8cRFctrs2WCMG0sSourXr09cXJzXZYQUhXYWJScns379eup5fHacsJKcDH37uu7wd96Bnj29rkgk75k9G5o3d7tXhqh69eoptFNRaGfRjh07KFmyJCV0AJDAWAuDBsGECfDyy/CXv3hdkUjec+iQG4R2001eV3JBammfT6GdRdqefWEjtm1jgf8J7YcMYcHSpYx4/3145hnvChPJy+bPdycJufFGryu5IIX2+RTaWaTt2RfWIjKSmF9+ccE9YgQLvv6amH/8gxYxMW57mojkvNmzITIyZE7HmZ5LL72Uo0ePcvjwYa9LCRkK7SyKi4vT9uwLiCpdmtiGDYlZtYrn4+KIefllYlu0IKpMGa9LE8mbrHWh3a6dO/pgCDPGULduXY0g96PQziJ1j2csau9eBkyaxPBevRhQpw5RITzwRSTX27wZtm4N+a7xFOoiP5dCO4vUPZ6xBe+8w/u33MJz5crx/u7d527jFpGcdeSIu65c2ds6AqTQPpdCOwvi4+M5cOAAVapU8bqUkLVg0SJi2rUjdvt2hjVu7LrKU7Zxi0jOK1bMXR8/7m0dAapXr566x/0U8LqAcLZ+/Xrq1q1Lvnz67ZMma1nx1VfErllD1LRpwNlt3Cvi44kqXdrjAkXyoIgId33smLd1BEgt7XMptLNA27MzMGUKT732GowZc/bXPS64FdgiHgmz0K5Tpw6bN28mKSmJAgUUWWoiZoG2Z5/vzH7ZiYkweDBcfjkLbr2VETrov0hoCLPu8aJFi1KpUiW2bNnidSkhQaGdBdrd63xn9sv+7DPYvJkF//wnMXFxtIiM9Lo0EQF3/uz8+cOmpQ06nKk/hXYWqHv8fFGlSxNrDDHlyvH8I48QExFBbMOG6g4XCRXGuNZ2mLS0QWf78qcNBFmwfft2jRxPQ9T33zNg3TqG9+rFc5UrK7BFQk1ERFi1tKtWrcrWrVu9LiMkKLQzyVpLfHy8ThSShgUdO/J+rVo8d/Ag7xcsSFSpUgpukVASZqEdGRlJfHy812WEBHWPZ1JCQgL58+enUKFCXpcSUhYcPEjM/v3EDh3KsPXrtV+2SCgqVkyhHaYU2pkUHx9PpAZXnWdFfDyxjRoR9dtvsGfPOftli0iIqFoVNmzwuoqAKbTPUvd4JqlrPG1PVa3qblSoAHv2ANovWyTktG4NM2bA/v0QBucCKFGiBEdSDr+ax6mlnUlHjhxRS/tCKlSA3bu9rkJE0tK6tbteutTbOgKklvZZCu1MUvd4BipUgL17va5CRNLSooU7LeeSJV5XEhCF9lkK7UxSaGegYsUz3eMiEmKKFoWrrlJohyGFdiYptDOQ0tJOTva6EhFJS5s2sHIlJCR4XUmGFNpnKbQzSQPRMlChAiQlwaFDXlciImlp3RpOnnTBHeIKFy6MtZbExESvS/FcQKFtjBljjNljjFnr99hwY8xPxpgfjDFzjDFpnlHdGNPbGPOb79I7WIV7TS3tDFSo4K41GE0kNLVs6a5/+MHbOgJgjFFr2yfQlvZYoEOqx16z1jax1jYDvgKeT/0kY0wZ4AXgaqAl8IIxJlfs+6PQzkBKaGu7tkhoqljRHYc8TP5HFdpOQKFtrV0EHEj1mP9OcxGATeOpNwHfWGsPWGsPAt9wfviHJe3ylQGFtkhoy5/f7aMdJnt5KLSdLB1cxRjzEtALOAxEpTHLpcB2v/s7fI+Fvfj4eOrUqeN1GaFLoS0S+sqXD5v/0cjISB1ghSwORLPWPmutrQJMAAamMYtJ62lpLcsY84AxZqUxZuXeMPjlp4FoGShbNqy63kTypDA6noJa2k6wRo//C+iaxuM7AP9zV14G/JHWAqy1H1lrm1trm5cvXz5IZWUfbdPOQIECLrgV2iKhq3z5sAntEiVKKLTJQmgbY/z7hm8F4tKYbTZwozGmtG8A2o2+x8LeiRMnKFKkiNdlhDYdYEUktPmdIyDUFS5cmIQw2Kc8uwW0TdsYMxG4AShnjNmBGxHe0RhTD0gGtgIP+uZtDjxorb3PWnvAGDMcWOFb1DBr7YHzVhCGIiIiOH78uNdlhLYw+kIQyZPKl4cDB9wxFQqE9vmjTpw4QbFixbwuw3MB/ZWstX9O4+HR6cy7ErjP7/4YYEymqgth2r4SgAoVYM0ar6sQkfSkDBjdv9/1jIUw7bHj6IhomaTQDoBa2iKhLWX8UBj8n2ockaPQziTtfhCAChXcYUxPnvS6EhFJS8oeMIcPe1tHALTHjqPQziS1tAOgfbVFQtt232E0LrvM2zoCoJa2o9DOJO1+EICU0A6TXUpE8pxNm9x5tatUyXhejym0HYV2JqmlHQC1tEVC28aNUL26O6RpCLPWKrR9FNqZpNAOgEJbJLRt2gS1a3tdRYZOnDhBgQIFKFiwoNeleE6hnUkaiBYAhbZI6LLWhXatWl5XkiENQjtLoZ1JamkHIDISChdWaIuEon374MiRsGhpq2v8LIV2Jim0A2CM9tUWCVWbNrnrMGlpK7QdhXYmafR4gBTaIqFp40Z3rZZ2WFFoZ5Ja2gGqUAF27/a6ChFJbdMm1xtWo4bXlWRI27TPUmhnUspANGvTPD24pFBLWyQ0bdzoDqpSuLDXlWRIxx0/S6GdSYULF8YYQ2JiotelhLaU0NaPG5HQEia7e4G6x/0ptLOgRIkS2u0rIxUqQGIiaFOCSGjZuDEsBqGBWtr+FNpZUK1aNbZs2eJ1GaEtZV9tbdcWCR1HjrjDC4dJS3vLli1Uq1bN6zJCgkI7C+rXr8/69eu9LiO06fjjIqEnjHb3Ali/fj3169f3uoyQoNDOgvr16xMXF+d1GaFNR0UTCT2bN7vrmjW9rSNAcXFxCm0fhXYW1KtXT6GdEYW2SOhJORXnsmXe1hGA+Ph4Dh48SJUwOBNZTlBoZ4Fa2gFQaIuEnpYt4aqr4J13Qn7PjvXr11OnTh3y5VNcgUI7S+rUqcOWLVtISkryupTQVagQlCql0BYJJcbAoEHw668wb57X1VyQtmefS6GdBUWLFqVSpUoaQZ4RHRVNJPR06wblysGoUV5XckHann0uhXYWabt2AHRUNJHQU6QIPPAATJ8OIdzwUGifS6GdRdrtKwAKbZHQNGAA5MsH773ndSXpUvf4uRTaWaTBaAGoWFGhLRKKLrsMunSB0aPh+HGvqznP6dOn+e2336hTp47XpYQMhXYWqXs8ABUqwP79oAF7IqFn0CA4eBAmTPC6kvNs3bqVChUqEBER4XUpIUOhnUVqaQegQgW3W8n+/V5XIiKptW0LTZu6AWkhtvuXtmefT6GdRRUrViQpKYl9+/Z5XUro0vHHRUJXyu5fP/8MixZ5Xc05tD37fArtLDLGaDBaRnT8cZHQ1qMHlCkD77/vdSXnUEv7fArtINB27QzoqGgioa1oUbj8cti50+tKzhEXF0e9evW8LiOkKLSDoH79+vz6669elxG6KlZ01wptkdC1fz+ULet1FedQS/t8Cu0gaN68OcvC4MD7nilVCgoUUGiLhLJ9+0IqtDdv3ky+fPmoVKmS16WEFIV2ELRu3Zoff/yR+Ph4r0sJTcboUKYioSxl744QCu158+YRHR2NMcbrUkKKQjsIihUrRvPmzVkUYiMvQ4qOiiYSuo4ehVOn3LHIQ8TcuXOJjo72uoyQo9AOkujoaOaF+NlyPKXQFgldKbushkhLOzk5mfnz5yu006DQDpL27dsrtC9EoS0SulIOfBQiof3zzz9TunRpqlat6nUpIUehHSTNmzdn69at7FEwpU3btEVCV4iFdsr2bDmfQjtIChQowHXXXceCBQu8LiU0VajgTkhw7JjXlYhIagrtsKHQDiJt174AHRVNJHSlbNMOgYFop06dYsmSJURFRXldSkhSaAdRdHQ0c+fO9bqM0KSjoomErv373a6ZpUt7XQnLly+nVq1alA2RVn+oUWgHUaNGjTh+/DhbtmzxupTQo9AWCW3GQAgca0Jd4xem0A4iY4y6yNOj0BYJXZ06QXIyTJvmdSXMmzeP9u3be11GyFJoB5lCOx3ly7trjSAXCT0tWkC1ajBliqdlHDt2jNWrV9OmTRtP6whlCu0gi46OZv78+dgQO5m854oVg+LF1dIWCUXGwF13wZw5cCgqt+oAACAASURBVPCgZ2UsXryYq666ioiICM9qCHUK7SCrVq0akZGRrF271utSQo8OsCISumJi3KFMPewi1/bsjCm0s4FGkaejXDl1j4uEqubNoXp1iI31rAQdbzxjCu1sEB0dzTfffON1GaFl40ZYvRp0QnuR0JTSRf7NN550ke/du5fNmzfTsmXLHF93OFFoZ4MOHTqwdOlS9upAImc9+ywUKgRDhnhdiYikJyYGkpLgP//J8VVPnjyZTp06UbBgwRxfdzhRaGeDEiVKcMsttzBx4kSvSwkNy5e7LrcnngCd0F4kdF11FdSo4UkX+dixY+nbt2+OrzfcKLSzSZ8+fRg7dqzXZXjPWnjqKTcI7YknvK5GRC4kpYt87lw4cCDHVvvzzz+ze/du2rVrl2PrDFcK7WwSFRXF/v37+fHHH70uxVvTp8OiRfDiixAZ6XU1IpKRO+5wXeQ5OJh23Lhx9OrVi/z58+fYOsOVQjub5MuXj3vuuYdx48Z5XYp3kpLg6aehbl247z6vqxGRQNSp465//z1HVnfq1CnGjx9Pr169cmR94U6hnY169+7Nv/71L06dOuV1Kd4YMwbi4uDVV0GDS0TCQ+nS7v81h3bPnD17NjVr1qSe9iwJiEI7G9WpU4fatWsza9Ysr0vJeUePwgsvQOvWcNttXlcjIoEyxo1ByaHQHjt2LH369MmRdeUGCu1slmcHpL3+OuzaBa+95r4ERCR8VKyYI6G9f/9+5s6dS0xMTLavK7dQaGezu+66i3nz5rEv5STzeUFKWHftCtdc43U1InKxcii0J02aRMeOHSlVqlS2ryu3UGhns5IlS9K5c+e8tc/20KGQmAj/+IfXlYhIZuRQaKtr/OIptHNA7969804XeVwc/N//wYMPnh2FKiLhpWJFd3KfbDxb4dq1a9m5c6eONX6RFNo5oF27duzZs4eff/7Z61Ky3zPPuNNwPvec15WISGZdcok741c2HoN83Lhx3HPPPdo3+yIptHNA/vz56dWrV+7fZ3vxYndav6efdqNPRSQ8VazornftypbFJyUlMX78eHr37p0ty8/NFNo5pHfv3owfPz737rNtLTz5JFSuDI8+6nU1IpIV1au76y1bsmXxs2fPpnr16tSvXz9blp+bKbRzSN26dalVqxazZ8/2upTs8cUX7sQgw4e77nERCV9167rrDRuyZfEagJZ5Cu0cdP/99/PWW295XUbwnTzptmU3agTq7hIJf2XLsrNUKa5/7TV2BbmLfOvWrcyfP59u3boFdbl5hUI7B/Xo0YPffvuN77//3utSguvDD2HTJhgxAjSoRCRXGF6oEEt27mTYsGFBXe4//vEPHnjgAe2bnUnGZuOQ/sxq3ry5XblypddlZIuPPvqIqVOn5p5Dmx4+DLVrQ5Mm7qxAOvqZSHg6dQo2baJokyYkpDH2pkiRIpw4cSJLq9i2bRvNmjVjw4YNlCtXLkvLym2MMaustc0zmk8t7RzWp08ffv31V5YvX+51KcExYgTs2+euFdgioe/YMVi9GiZMgCFD3JELGzaEiAho0IDNp07RA0gZmVKsWDF69uzJliAMSnvllVe4//77FdhZUMDrAvKaQoUKMXjwYIYOHcrXX3/tdTlZs2MHjBwJPXrAVVd5XY2I+Nu3D3799fzLtm1n58mfH2rVggYN3Il9GjSgUoMGlPjgAxLGjqVIoUIkJCRQokQJLrnkkiyVs2PHDiZNmkRcXFwWX1jepu5xDyQmJlK7dm2mTp1KixYtvC4n8+691/1aX7/+7C4iIpJzkpNh+3Z3JMLU4ex/voOiRaFePRfO/pfataFw4fMWe8cdd1CpUiUeeOABPvroI3bu3MnUqVOzVOqgQYMoXLgw//znP7O0nNwq0O5xhbZH3n33XWbNmsX06dO9LiVzfv4ZmjaFxx4D/ROKZK9Tp2DjxvODef16192dokyZ84O5QQOoWhXyebc19I8//qBx48b8+uuvVEw5cIucQ6Ed4hISEqhduzbTpk3jqnDsWu7YEb7/3o0aL1PG62pEcoejR10Qpw7njRshKensfFWquDCuX//ccC5fPiTHljzyyCPkz5+fkSNHel1KyAo0tLVN2yNFihTh6aefZtiwYUybNs3rci7OvHkwc6Y7/aYCW+Ti7d2b9vbm7dvPzpM/v+u+btAAunQ5G8z16kFkpHe1X6SdO3fy2WefsW7dOq9LyRXU0vbQiRMnqFWrFjNmzOCKK67wupzAJCdD8+Zw4IDbjlakiNcViYSm5GQ36Cut7c3795+dr1ixc1vMKbdr14ZChbyrP0gee+wxTp8+nTsPLBVEammHgaJFi/LUU08xfPjwLA/yyDETJ8KaNTB+vAJbBNwRAdPb3nz8+Nn5ypZ1YXzHHed2aVep4un25uy0e/duxo4dy9q1a70uJddQS9tjKa3tWbNm0aRJE6/LubCEBNcKKFMGVq7MtV80ImmKj3et5tQt540b4fTps/NVrXr+QLD69d325jzmySefJCEhgVGjRnldSsgLWkvbGDMG+P/27jw6iip///j7skVI2FwAZTFsQhAhKhMJkAiyODAERDKSGcAFFJCj/o6ooOOCRxyIqOPGBNCgMOhXEsAFHEVABCKyJAgjBEH2fRkhaIAEIbm/PzpAAs0QslVX9/M6pw+kqe7+pEj3k1ufW7d6AoestS3z7nsViAF+B7YCD1hrj3p57OPAg4AF1uVtl30534i/q1y5Mk8++SQvvfQSs2bNcrqc/23CBNi5E6ZMUWCLf7L24v3mPXvObVehAjRt6llvv2/fgv3mkBDn6vchhw4dYsqUKfz4449Ol+JXLjnSNsZEA8eAf+UL7W7AImvtaWPMKwDW2lHnPa4u8B3QwlqbZYxJBr601k69VFGBNNIGOH78OI0bN2bBggXcdNNNTpfj3ZEjnkUY2rb1TEITcbMz/WZv4XzkyLntgoMvnKEdFuZ5L1Ss6Fz9LjBq1CgyMzNJSEhwuhRXKLGRtrV2qTEm9Lz75uf7cgUQ+z+ev7Ix5hSeVfH2Xer1AlFwcDBPPPEEL730EjNnznS6HO/GjvWsMz5+vNOViBTe77/D5s3e+83519G+5hpPGMfGFgznevV0VKkI/vvf/5KYmMiaNWucLsXvlMREtEFA0vl3Wmv3GmNeA3YBWcD888K+AGPMEGAIQIMGDUqgLHcZPnw477zzDosWLeKOO+5wupyCduyAd96B++8HXz0SIIHtTL/5/HDeurVgv/n66z1h3KlTwXC+6irnavdDI0eO5N577w3Iz/LSVqzQNsY8C5wGPvLybzWB3kBD4Cgw0xgzwFr7obfnsta+C7wLnsPjxanLjYKDg5kwYQLDhg3jxx9/5Apfmpn97LOe0UYJX6JP5LJYC4cOeT+kvXfvue0qVvT0m2+6Cf7854L95uBg5+oPEIsXL+abb77RedmlpMihbYy5D88Etc7We2O8C7DdWvvfvO0/AdoBXkNboFevXkybNo2xY8eW+DVsi2z1avi//4NnnvEcKhQpbbm5ngmP3sI5I+PcdiEhnn7zHXcUHDU3aqR+s0Oys7MZOnQoEyZMoKqLFoBxkyKFtjHmj8Ao4HZr7YmLbLYLaGuMqYLn8HhnIHBmlxXR22+/TXh4OH/5y18ICwtzthhr4amn4OqrYdSoS28vcjlOnrx4vzk730kmtWp5wvmeey7sN/vgkp2BbNy4cdx444306tXL6VL8VmFO+foY6AhcbYzZA4wGngGCgAXG86ZZYa0dZoy5Dki01vaw1q40xswCfsBzCH0NeYe/5eLq1q3L6NGjGTp0KIsXL6ack5Ng5s2Db7+Ft9+G6tWdq0Pc7bffvPebt20r2G8ODfWEcefOBc9vVr/ZFTZu3EhCQgJr1651uhS/psVVfFBOTg7t2rXjoYce4sEHH3SqCAgP94x40tP9YjlFKUXWwsGDBUP5TFCf32++4YYLT6Nq1syznKe4Um5uLp06dSI2NpZHH33U6XJcScuYulj58uV599136dq1KzExMc5cym7aNFi/HmbOVGDLOTk5F+83H823vlJIyIWj5jP95gr62PE3H3zwAdnZ2QwfPtzpUvyeRto+bOTIkezdu5ePPrpgcn7pOnHCM/u2fn3P5TfVNww8J0/Czz8XHDFfrN/s7frNdevq5yZAHDp0iJYtWzJ//nzCw8OdLse1NNL2A6NHjz77ZujWrVvZvfCbb8K+fTBjhj54/d2vv16835yb69nGmHP95i5dCvabdWnWgDdixAjuu+8+BXYZUWj7sODgYBISEnj44YdZt24dVcqi53foEMTHQ+/eEBVV+q8npc9aOHDgwl7zTz95fjk7o1IlzxGW8HD4y1/OhfMNN6jfLF4tWLCAZcuW6SpeZUih7eO6d+/OH/7wB15++WXGjh1b+i84Zozn8Hh8fOm/lpSsnBzP6nXe+s2//npuu6pVPWHctWvBQ9oNG6rfLIWWlZXFsGHD+Oc//0mwFq0pM+ppu8CBAwdo1aoV33zzTeleUGTzZmjRAh58ECZOLL3XkeLJzj7Xb84/et60ydOLPqN2be/95uuuU9tDiu1vf/sbW7duJSnpglWspQjU0/YjderUYcyYMQwdOpTvvvuu9M7d/tvfICgIRo8uneeXy/Prr95Hzdu3F+w3N2zoCeNu3Qr2m2vWdLZ+8Vvr1q3jvffe02U3HaDQdomHHnqI6dOnM2nSpNI5rWL5cpg1C158EerUKfnnF++shf37LwzmjRs9959RqZKnt3zLLdC/f8F+c+XKztUvAScnJ4ehQ4cyZswYrr32WqfLCTgKbZcoV64c7733HtHR0bRv357WrVuX3JOfWa60Th144omSe145JyfHM0L2Fs75+83VqnnC+M47L+w3ly/vXP0ieUaPHs0VV1zBkCFDnC4lICm0XSQsLIy33nqLvn37kpaWRo0aNUrmiT//HJYtg8mTPYtiSNFlZXnvN//8c8F+87XXesI4/6g5LMxzv/rN4qO++OILpk2bRlpamrNLLAcwTURzoUcffZRdu3bx6aefFv+Nc+oUtGzpufTmunWaPVxYR49evN985j1Vrty5fnP+W/PmUFK/cImUkW3bttG2bVs+++wz2rVr53Q5fkcT0fzY66+/TseOHXnllVd45plnivdkiYmeUeDnnwdEYI/ftYs/VK1Kp3yTtL7NyCA1M5ORDRoU3Nhaz3nM3sL54MFz2wUFedbObtMGBg4s2G/2peuiixRRVlYWffv25fnnn1dgO0wjbZfas2cPERERTJ8+nc6dOxftSTIzoUkTz8hv8eKAOCz7bUYG92zYQHKLFnSqWdPzdXo6yTVq0GnbtgsPa//227kHV6/u/RSq0FD1m8VvWWsZNGgQJ0+e5KOPPsIEwOeEEzTS9nP16tXjww8/pH///qxatYr69etf/pO89ppnBbS5cwMisMnKotPOnSQfOMA9x4/z8H/+w8TmzUkeM4ZOqanntrvuOk8Y5x81h4V5JuoFwn4SyScxMZFVq1axcuVKBbYP0Ejb5eLj4/nss89YsmQJQUFBhX/g/v2eUXbPnuBviyNkZHg/pL1jx9l+8wuDBjFm4ECeX7GClzIyCvabde1wEQDS0tLo0aMHKSkpNGvWzOly/FphR9oKbZez1tKnTx/q1avHhAkTCv/AIUNg6lRPmDVuXGr1lRprPddp9hbOhw6d2+6KKzz95nzXb/62SRPuOXGCh+vWZeK+fWcPlYvIOYcPH+bWW2/l9ddfp2/fvk6X4/d0eDxAGGOYNm0abdq04aOPPqJ///6XftCGDTBlCjz6qO8H9unTnitOeTu/OTPz3HY1anhCuWfPgoe0r7++QL/5bE/7xhvpVLMmnWrUKNDjFhHPAir9+/cnNjZWge1jFNp+oHr16syePZvOnTvTqlWrS69P/vTTnvOxn3uubAosjBMnPGtnnx/Omzd7Tks7o25dz6j5vvsKhnPt2oXqN6dmZhYI6E41a5LcogWpmZkKbZE8Y8aMISsri3hdOMjnKLT9RKtWrXjjjTfo27cvqampVL9YX3bJEs/Es3Hj4Oqry7ZIgCNHvB/S3rmz4PnNjRt7wjgmpmC/uVq1Yr38Bad14QluBbaIx1dffUViYiJpaWlUCIDTQN1GPW0/M3z4cPbv388nn3xy4UzP3Fxo29YzCe3nn0tvzWprYc8e74e0vfWbzz+FqmlTz7nPIlKmtm/fTtu2bZk9ezYdOnRwupyAop52gHrjjTeIjo5m/PjxjBo1quA/zpwJqameCWglEdinT8PWrd7D+dixc9vVrHnhqPlMv1lLIYr4hKysLGJjY3n66acV2D5MI20/tHv3biIjI4mPj2fAgAGeO0+e9ARl1arwww+XtxjI8eMX9ps3bvTeb/a2+EitWjq/WcSHnTp1ir59+1K1alU+/PBDnY/tAI20A1j9+vX5+uuv6dy5M8HBwTRs2IeOkZal2cG0mjf+4oF9+PDF+81nlC9/rt/cq1fBfnPVqmXzDYpIicnJyWHgwIFYa5k6daoC28dppO3HVq9eTffu3alyxWZ27q7GjcHbWZ/ZEHbv9h7Ov/xy7sGVK3vvNzdpon6ziJ/Izc1lyJAhbNu2jX//+99U1rXZHaORtnDrrbcSHz+PwYOrAYb04w35scpttMrOt2TnlVd6wviuuwqGc4MG6jeL+DFrLSNGjCA9PZ0FCxYosF1Coe3n/vGPW4BzR1P+WuUz1r8x51w4X3ON+s0iAeiFF15gyZIlLFq0iJCQEKfLkUJSaPuxtWshPR3gTCgb0o9cy4/thtGqlYOFiYijxo8fz6xZs1iyZAk1tUaBq+j4px87M3H8fLGxJ8u2EBHxGQkJCUyaNIkFCxZQq1Ytp8uRy6TQ9mNbt3q717B5cy67d+8u63JExGHTp09n3LhxLFy4kHr16jldjhSBQtuPZWV5Fic7//b66xPp0qULBw8edLpEESkjn3zyCSNHjmT+/Pk0atTI6XKkiNTTDkAjRowgMzOTrl27snjxYq688kqnSxKRUjRv3jwefvhh5s2bR1hYmNPlSDFopB2gXnjhBbp160b37t3JzH+JSxHxK0uXLmXgwIF8+umn3HzzzU6XI8Wk0A5QxhheffVVwsPDiYmJ4cSJE06XJCIlLDU1ldjYWD7++GPatWvndDlSAhTaAcwYQ0JCAg0aNKBr1678kn9FNBFxtQULFtCjRw8SExPp0qWL0+VICVFoB7jy5cszdepUoqKiiIyMZPPmzU6XJCLFNGXKFAYMGMDs2bPp1auX0+VICdJENKFcuXLEx8fTuHFjoqKimDVrli7NJ+JCubm5PP/88yQlJbF06VKaNWvmdElSwhTactZDDz1EgwYN6NOnD++88w5xcXFOlyQihZSdnc0DDzzAjh07WL58Oddcc43TJUkp0OFxKeDOO+9k4cKFjBw5kvj4eHzxKnAiUtDhw4fp2rUrp06dYtGiRQpsP6bQlgu0bt2a5cuXk5SUxJAhQzh16pTTJYnIRWzZsoV27doRGRlJcnKyrtbl5xTa4lXdunVZunQpe/fupWfPnvz2229OlyQi5/n+++/p0KEDjz/+OOPHj6ecLqfr9/Q/LBdVtWpV5syZQ6NGjejQoYPWKxfxITNnzqR37968//77DBs2zOlypIwotOV/qlChAgkJCQwcOJDIyEjWrFnjdEkiAc1ay/jx4xkxYgTz58+nR48eTpckZUizx+WSjDE89dRTNGzYkG7dujFt2jR9UIg44PTp0zzyyCMsX76c5cuX60pdAUgjbSm02NhY5syZw+DBg0lISHC6HJGAkpmZSUxMDDt27CAlJUWBHaAU2nJZIiMj+e6775gwYQIDBgzg119/dbokEb+3atUqbrnlFkJDQ5k7dy7VqlVzuiRxiEJbLlvjxo1JS0ujatWqtG7dmpSUFKdLEvFLOTk5vPzyy8TExDBu3DgmTpxIxYoVnS5LHKSethRJlSpVmDhxInPnzuWee+5h8ODBjB49Wh8oIiVkx44dDBgwgKCgIFavXq3D4QJopC3FFBMTw5o1a1i9ejXt27fXBUdEislay4cffkhERAR9+vRhwYIFCmw5S6EtxVanTh2+/PJL7r33XiIjI0lMTNTypyJFcPToUf76178yduxY5s+fzxNPPKEFU6QA/TRIiTDG8Mgjj7BkyRLeeecd7r77bl2fW+QyLF26lNatW3PVVVeRlpZGeHi40yWJD1JoS4m68cYbWbVqFY0bN6Z169bMnz/f6ZJEfNrvv//OM888Q1xcHAkJCUyYMIEqVao4XZb4KIW2lLigoCBee+01pk2bxuDBg3n88cfJzs52uiwRn7Np0ybatWvHunXrWLt2LX/605+cLkl8nEJbSk2XLl1Yu3Ytu3fvJiIigvXr1ztdkohPsNYyefJk2rdvz+DBg5k7dy61atVyuixxAZ3yJaXqqquuYubMmXzwwQd07NiRZ599lkcffZQKFfSjJ4Fp3759PPzww+zatYuUlBTCwsKcLklcRCNtKXXGGAYNGsSKFSv44osv1OuWgJSVlcXf//53WrVqxU033cSKFSsU2HLZFNpSZpo0acLChQsZO3Ysw4cPJyYmhk2bNjldlkipstaSnJxMWFgYa9asITU1lZdffpmgoCCnSxMXUmhLmTLG0Lt3b9LT04mOjqZ9+/aMGDGCjIwMp0sTKXGrV68mOjqacePGMW3aNGbNmkXDhg2dLktcTKEtjggKCuKpp54iPT2dY8eO0bx5cyZOnMjp06edLk2k2Pbv388DDzxAz549uf/++0lLS+P22293uizxAwptcVTt2rV59913+frrr0lOTubmm29m4cKFTpclUiTZ2dmMHTuWm266iVq1arFp0yYGDx5M+fLlnS5N/IRCW3xCeHg4ixYt4qWXXmLo0KH07t1b65iLa1hrmTVrFmFhYaSlpbFy5UpeeeUVXUJTSpxCW3yGMYY+ffqwYcMG2rdvT2RkJE8++aSu2S0+bc2aNXTs2JExY8bw/vvv88knn9C4cWOnyxI/pdAWnxMUFMTIkSNZv349R48epVmzZkyePJmcnBynSxM568CBAwwePJju3bvTv39/fvjhBzp16uR0WeLnFNris+rUqUNiYiJfffUVH3/8MWFhYUyaNImsrCynS5MAtm3bNh577DFatGjBlVdeyaZNmxgyZIj61lImFNri826++Wa+/fZbEhMT+fLLLwkNDeXFF1/k0KFDTpcmAWTlypX8+c9/JiIiguDgYNavX8+rr75K9erVnS5NAohCW1zBGEN0dDRz5sxhyZIl7N+/n2bNmjF06FAt0CKlJicnh88++4wOHToQFxdHVFQUO3bsYNy4cVx33XVOlycBSKEtrtO8eXMmT57Mpk2buPbaa4mKiqJXr14sXboUa63T5YkfOHHiBBMnTiQsLIyxY8fy2GOPsXnzZh577DFCQkKcLk8CmEJbXKtWrVq8+OKL7Nixgx49evDggw8SERFBUlKSFmmRIjl06BCjR48mNDSUefPmMWXKFFauXMk999yji9yIT1Boi+tVqVKFYcOGsXHjRp577jkmTJhAkyZNeOutt8jMzHS6PHGBjRs3MmTIEJo1a8bBgwdJSUnh888/JyoqCmOM0+WJnKXQFr9Rrlw5evfuTUpKCklJSSxbtoyGDRvy9NNPs3fvXqfLEx9jrWXJkiXExMRw++23U7duXX7++WcmTZpEs2bNnC5PxCsd7xG/dNttt5GcnMz27dt58803admyJbfddhtxcXHcdddd1KhRw+kSxSE//fQTSUlJzJgxA2stI0aMIDk5mcqVKztdmsglGV+cuNOmTRublpbmdBniR44fP84XX3xBUlIS33zzDR07dqRfv3706tVLE4sCwNatW0lKSiIpKYlffvmFfv360a9fPyIiInT4W3yCMWa1tbbNJbdTaEug+e233/j888+ZMWMG3333Hd26dSMuLo4ePXpotOVHdu/eTXJyMjNmzGDXrl3ExsYSFxdH+/btKVdOnUHxLSUW2saY94GewCFrbcu8+14FYoDfga3AA9bao14eWwNIBFoCFhhkrV1+qaIU2lJWDh8+zKeffkpSUhKpqan07NmTfv360a1bN4KCgpwuTy7TgQMHmDlzJklJSWzcuJE+ffrQr18/OnbsqNnf4tNKMrSjgWPAv/KFdjdgkbX2tDHmFQBr7Sgvj50GpFhrE40xlYAq3sL9fAptccLBgweZPXs2M2bMID09nd69exMXF8cdd9yhD3wf9ssvvzB79mySkpJYs2YNMTExxMXF0aVLFypVquR0eSKFUqKHx40xocAXZ0L7vH/rA8Raa/ufd3814D9AI3uZx+AV2uK0PXv2nB2xbdu2jbvvvpuuXbsSFRVFrVq1nC4voOXm5rJhwwZSUlKYM2cO33//Pd27d6dfv350796dK664wukSRS5bWYb2XCDJWvvhefeHA+8CG4DWwGrg/1lrj1/q9RTa4ku2b9/OrFmzWLx4McuWLaNOnTpERUWdvYWGhmoyUyk6deoUP/zwAykpKSxdupRly5ZRs2ZNoqKiuPPOO4mJiSE4ONjpMkWKpUxC2xjzLNAGuPv80bQxpg2wAmhvrV1pjHkL+M1a+/xFXmMIMASgQYMGt+7cufOSdYmUtZycHNatW0dKSsrZEKlYsWKBEG/RooUmOhXDiRMnWLFixdn9u2rVKho1akRUVBTR0dF06NBB636L3yn10DbG3AcMAzpba094eUwdYIW1NjTv6yjgaWvtny71ehppi1tYa9myZcvZEE9JSSEjI4MOHTqcDfFbbrmFihUrOl2qzzpy5AjLli07G9Lr1q2jdevWREdHExUVRbt27ahZs6bTZYqUqsKGdpFm1xhj/giMAm73FtgA1toDxpjdxphm1tpNQGc8h8pF/IYxhqZNm9K0aVMGDRoEwL59+84G+PTp09m+fTsRERG0bduWG264gSZNmtC0hs30kwAABpZJREFUaVOuvvrqgDqsfvr0aXbu3MmWLVvYsmUL6enppKSksHPnTtq2bUtUVBTx8fFERERQpUoVp8sV8UmFmT3+MdARuBo4CIwGngGCgMN5m62w1g4zxlwHJFpre+Q9NhzPKV+VgG14Tg3LuFRRGmmLP8nIyGDZsmWkpqaeDazNmzeTk5NDkyZNzob4mb83adKE2rVruzLQT506xY4dOwp8n2f+vmvXLurUqXP2e2zevDnt27cnPDxcRyIk4GlxFREfd+TIEa/htmXLFrKzswuE+JlQr1+/PlWrViUkJISgoKAyDfbc3FxOnDjBsWPHyMjIYNu2bRfUvnv3burWrev1F5GGDRtqZrfIRSi0RVzs6NGjBUL8TDju2bOH48ePc+zYMXJycggJCbnsW6VKlc4+x+XcsrKyqFy5MiEhIVSvXp1GjRpd8ItFaGiozo0WKQKFtoifO3XqFMePHyczM/OywvfkyZMEBwcTEhJydtRemFuVKlU0K16klJTqRDQRcV7FihWpUaOGrlgmEkD0a7OIiIhLKLRFRERcQqEtIiLiEgptERERl1Boi4iIuIRCW0RExCUU2iIiIi6h0BYREXEJhbaIiIhLKLRFRERcQqEtIiLiEgptERERl1Boi4iIuIRCW0RExCUU2iIiIi6h0BYREXEJhbaIiIhLKLRFRERcQqEtIiLiEgptERERl1Boi4iIuIRCW0RExCUU2iIiIi6h0BYREXEJhbaIiIhLKLRFRERcQqEtIiLiEgptERERl1Boi4iIuIRCW0RExCUU2iIiIi6h0BYREXEJhbaIiIhLKLRFRERcQqEtIiLiEgptERERl1Boi4iIuIRCW0RExCUU2iIiIi6h0BYREXEJhbaIiIhLKLRFRERcQqEtIiLiEgptERERl1Boi4iIuISx1jpdwwWMMf8FdjpdhwtdDfzidBF+SPu15Gmfljzt05JXlvv0emvtNZfayCdDW4rGGJNmrW3jdB3+Rvu15Gmfljzt05Lni/tUh8dFRERcQqEtIiLiEgpt//Ku0wX4Ke3Xkqd9WvK0T0uez+1T9bRFRERcQiNtERERl1Bou4Ax5n1jzCFjzPp8911pjFlgjNmc92fNizz2vrxtNhtj7iu7qn1fUferMSbcGLPcGJNujPnRGNOvbCv3XcX5Wc3btpoxZq8xZkLZVOz7ivn+b2CMmW+M+ckYs8EYE1pWdfuyYu7T8Xnv/Z+MMW8bY0zZVa7QdoupwB/Pu+9p4BtrbVPgm7yvCzDGXAmMBm4DIoDR/+sDMwBNpQj7FTgB3GutvTHv8W8aY2qUZqEuMpWi7dMzxgBLSqc015pK0ffpv4BXrbVheD4DDpVWkS4zlaJ9prYD2gOtgJbAH4DbS7XS8yi0XcBauxQ4ct7dvYFpeX+fBtzl5aF3AgustUestRnAAi78QQ1YRd2v1tqfrbWb8/6+D88H4SUXRQgExfhZxRhzK1AbmF9qBbpQUfepMaYFUMFauyDveY5Za0+UZq1uUYyfUwtcAVQCgoCKwMFSKtMrhbZ71bbW7gfI+7OWl23qArvzfb0n7z65uMLs17OMMRF43sBby6A2t7rkPjXGlANeB54q49rcqjA/pzcAR40xnxhj1hhjXjXGlC/TKt3lkvvUWrsc+BbYn3f72lr7U1kWqdD2b956LTpdoIQYY64FpgMPWGtzna7H5YYDX1prd19ySymsCkAU8CSew7iNgPudLMjtjDFNgDCgHp4B0B3GmOiyrEGh7V4H80LjTHh461XtAern+7oesK8ManOzwuxXjDHVgH8Dz1lrV5RhfW5UmH0aCTxijNkBvAbca4yJL7sSXaew7/811tpt1trTwGfALWVYo9sUZp/2AVbktRqOAV8BbcuwRoW2i80BzswGvw/43Ms2XwPdjDE18yagdcu7Ty7ukvvVGFMJ+BT4l7V2ZhnW5laX3KfW2v7W2gbW2lA8I8N/WWv/14S1QFeY938qUNMYc2a+xR3AhjKoza0Ks093AbcbYyoYYyrimYRWpofHsdbq5uM34GM8/ZNTeH57HgxchWeG4+a8P6/M27YNkJjvsYOALXm3B5z+XnzpVtT9CgzIe8zafLdwp78fX7gV52c133PcD0xw+nvxlVsx3/9dgR+BdXhmTFdy+vvxhVsx3vvlgcl4gnoD8I+yrl0roomIiLiEDo+LiIi4hEJbRETEJRTaIiIiLqHQFhERcQmFtoiIiEsotEVERFxCoS0iIuISCm0RERGX+P9TjL8xLn67CgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: False\n", "Point 1: False\n", "Point 2: False\n", "Point 3: False\n", "Point 4: False\n", "Point 5: False\n", "Point 6: True\n", "Point 7: False\n", "Point 8: False\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: False\n", "Point 9: False\n", "Point 10: False\n", "Point 11: True\n", "Point 12: True\n", "Point 13: True\n", "Point 14: True\n", "Point 15: True\n", "Point 16: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n", "Point 9: True\n", "Point 10: True\n", "Point 11: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n", "Point 9: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n", "Point 9: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n" ] }, { "data": { "text/plain": [ "
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nm4K0tN8DeuSY9i3QzFrbAvgR+EvOlYwx0cBIoCfQFLjZGNO0SNWKiIicx/INbWvtbGBvjmnTrbUnfXfnA7VyWbUN8JO1doO1Nh34BOhbxHpFRETOW4EY074bmJLL9JrAFr/7W33TREREpBCKFNrGmL8CJ4EPc5udyzR7lm0NNMakGGNSdu3aVZSyREREIlKhQ9sYcwdwLXCrtTa3MN4K1Pa7XwvYltf2rLVvWWsTrLUJVapUKWxZIiIiEatQoW2M6QE8AfSx1h7JY7FFQENjTD1jTAngJiC5cGWKiIhIQT7y9TEwD2hsjNlqjLkHGAGUA741xiwzxozyLRtrjJkM4DtR7UFgGrAGGG+tXRWkxyEiIhLxTO492+5KSEiwKSkpbpchIiISEsaYxdbahPyW0xXRREREPEKhLSIi4hEKbREREY9QaIuIiHiEQltERMQjFNoiIiIeodAWERHxCIW2iIiIRyi0RUREPEKhLSIi4hEKbREREY9QaIuIiHiEQltERMQjFNoiIiIeodAWERHxCIW2iIiIRyi0RUREPEKhLSIi4hEKbREREY9QaIuIiHiEQltERMQjFNoiIiIeodAWERHxCIW2iIiIRyi0RUREPEKhLSIi4hEKbREREY9QaIuIiHiEQltERMQjFNoiIiIeodAWERHxCIW2iIiIRyi0RUREPEKhLSIi4hEKbREREY9QaIuIiHiEQltERMQjFNoiIiIeodAWERHxCIW2iIiIRyi0RUREPEKhLSIi4hEKbREREY9QaIuIiHiEQltERMQjFNoiIiIeodAWERHxCIW2iIiIRyi0RUREPEKhLSIi4hEKbREREY9QaIuIiHhEvqFtjPmPMWanMSbVb9qNxphVxphMY0zCWdb9ozEm1bfsw4EqWkRE5HxUkJb2e0CPHNNSgeuB2XmtZIxpBtwLtAFaAtcaYxoWrkwRERHJN7SttbOBvTmmrbHWrstn1YuB+dbaI9bak8B/gesKXamIiMh5Lphj2qlAR2PMhcaY0kAvoHZeCxtjBhpjUowxKbt27QpiWSIiIt4UtNC21q4BXgG+BaYCy4GTZ1n+LWttgrU2oUqVKsEqS0RExLOCeva4tfYda+2l1tqOOF3s64O5PxERkUhWLJgbN8ZUtdbuNMbUwTlxrV0w9yciIhLJCvKRr4+BeUBjY8xWY8w9xpjrjDFbcUJ4kjFmmm/ZWGPMZL/VvzDGrAa+AQZba/cF4TGIiIicF/JtaVtrb85j1le5LLsN54SzrPsdCl+aiIiI+NMV0URERDxCoS0iIuIRCm0RERGPUGiLiIh4hEJbRETEIxTaIiIiHqHQFhER8QiFtoiIiEcotEVERDxCoS0iIuIRCm0RERGPUGiLiIh4hEJbRETEIxTaIiIiHqHQFhER8QiFtoiIiEcotEVERDxCoS0iIuIRCm0RERGPUGiLiIh4hEJbRETEIxTaIiIiHqHQFhER8QiFtoiIiEcotEVERDyimNsFiEjopaenc/jwYQ4fPkxGRgalS5emTJkylCpVCmOM2+WJSB4U2iIeZa1l7969bNq0iY0bN7Jp0yY2bdrEvn37TgXykSNHTv3ufx+gTJkylClThujo6FPTjx8/TqlSpU7Ny7plhXqZMmUoW7YstWrVIi4ujnr16hEXF0etWrUoVkxvJyLBpv8ykTB24MCBU4Gc8+emTZuIjo7OFp6NGjWiUqVKeQZu1v0SJUrkur/MzMxsQZ9b6KelpbFlyxZmzpzJu+++y8aNG9m5cyexsbGn6sj6mfV7bGwsUVEajRMpKoW2SJg4fvw4y5cvZ8GCBadu27dvPyMIO3fufOr3ihUrBrSGqKgoypYtS9myZc9pvfT0dDZv3pztoGLKlCls3LiRjRs3cvz4cdq0aUPbtm1p27Ytbdq0oUqVKgGtXeR8YKy1btdwhoSEBJuSkuJ2GSJBY61lw4YN2QJ65cqVNGjQ4FSwtW3blosvvpjo6Gi3yy2yHTt2ZHusixYtonLlytlC/JJLLqFkyZJulyriCmPMYmttQr7LKbRFgi8zM5PFixczdepU5s+fz8KFCylZsmS21udll112zi1cr8rMzGTt2rUsXLjwVJCvW7eOpk2b0rZtW7p06cI111xDuXLl3C5VJCQU2iIuO3bsGN9//z0TJkzgm2++oUKFCiQmJnLFFVfQtm1bYmNj3S4xrBw5coQlS5awYMECpk+fzrx587jiiivo27cvvXv3pmbNmm6XKBI0Cm0RF+zevZtJkyaRnJzMjBkzaNGiBX379qVPnz40atTI7fI85eDBg0ydOpXk5GQmT55M/fr16dOnD3379qV58+b6aJpEFIW2SIisX7+e5ORkJkyYwPLly+natSt9+vQhMTFRJ1sFyIkTJ5gzZw4TJkxgwoQJAPTp04c+ffrQsWNHihcv7nKFIkWj0BYJov379zN27FjGjBnDrl27TgXIVVddRalSpdwuL6JZa0lNTSU5OZnk5GTWr1/PTTfdxKBBg2jRooXb5YkUikJbJMCstSxcuJDRo0fz5Zdf0qNHD+677z46deqkzyC7aMuWLfznP//h7bffpk6dOtx33330799fB0/iKQptkQBJS0vjo48+YtSoURw8eJCBAwdy1113UbVqVbdLEz8nT55k0qRJjB49moULF3Lbbbdx33330aRJE7dLE8lXQUNbzQORPCxbtoz777+funXrMm3aNF555RXWr1/PE088ocAOQ8WKFaNv375MnjyZRYsWUapUKTp37kyXLl345JNPOH78uNslihSZQlvET3p6Ou+//z6XX345ffr0ITY2ltTUVL788kuuueYadYN7RL169Rg6dCibN2/mgQceONV1/uc//5ktW7a4XZ5IoekdSASna/W9996jSZMmjBs3jr/+9a9s2LCBp59+Wp+n9rASJUpw44038t133/HDDz+Qnp5Oq1ateOihh9i+fbvb5YmcM4W2nNcyMjL46KOPiI+P59133+X999/n22+/pXfv3vrWqgjTqFEjXn/9ddasWUOJEiWIj49nyJAh7Nq1y+3SRApMoS3npczMTL744gtatmzJv//9b0aOHMmsWbPo0KGD26VJkFWtWpV//OMfpKamcuzYMZo0acKTTz7J3r173S5NJF8KbTmvWGuZOHEiCQkJDB06lGHDhjF37lyuvvpqXWHrPBMbG8uIESNYsmQJu3btolGjRjz//PMcPHjQ7dJE8qTQlvOCtZZvv/2Wdu3a8Ze//IWnn36alJQUevXqpbA+z9WtW5e3336bBQsWsGHDBho0aMDLL7/M4cOH3S5N5AwKbYl4P/74I926deOhhx7i4YcfZvny5Vx33XUKa8mmfv36vP/++8yePZtly5bRoEEDxo0bRzhey0LOXwptiVjp6em89NJLtG/fnmuvvZbU1FRuuukmfWxLzqpJkyZ88sknJCcn89prr9GjRw82bNjgdlkigEJbItT8+fO57LLLmDt3LosXL+bhhx/W2eByTlq3bs2iRYvo2rUrbdq04bXXXuPkyZNulyXnOYW2RJSDBw/y4IMPct111/HUU08xceJE6tat63ZZ4lHFixfn8ccfZ8GCBUybNo02bdqwePFit8uS85hCWyJGcnIy8fHxHD16lFWrVvG73/1O49YSEPXr12f69Ok8/PDD9OrVi8cee0wnqokrFNriedu3b+eGG25gyJAhjB07lnfeeYdKlSq5XZZEGGMMt99+O6mpqezcuZNmzZoxdepUt8uS84xCWzzLWsu7775LixYtaNy4McuXL6dLly5ulyURrkqVKnzwwQeMGjWKBx54gFtvvZX9+/e7XZacJxTa4klHjx7lnnvu4bXXXuO7777jpZde0vcnS0h1796dlStXEhMTQ+vWrVmxYoXbJcl5IN/QNsb8xxiz0xiT6jftRmPMKmNMpjEmz+//NMY84lsu1RjzsTGmZKAKl/PXhg0baN++PceOHWPBggW0aNHC7ZLkPFWmTBlGjBjB888/T9euXRk7dqzbJUmEK0hL+z2gR45pqcD1wOy8VjLG1AT+ACRYa5sB0cBNhStTxDFx4kTatWvH3XffzYcffkjZsmXdLkmEW265hZkzZ/LSSy9x//3367u7JWjyDW1r7Wxgb45pa6y16wqw/WJAKWNMMaA0sK1QVcp5LyMjg6eeeor777+fr776ioceekhnhktYadasGYsWLWLnzp106NCBzZs3u12SRKCgjWlba38FXgM2A9uBA9ba6Xktb4wZaIxJMcak6KvyxN/u3bvp2bPnqQultG/f3u2SRHJVvnx5Pv/8c/r370+bNm2YPj3PtzyRQglaaBtjYoC+QD0gFihjjBmQ1/LW2restQnW2oQqVaoEqyzxmIULF3LZZZdx6aWXMn36dKpWrep2SSJnZYxhyJAhfPrpp9x555387W9/IzMz0+2yJEIE8+zxq4GN1tpd1toTwJeAmkiSr2XLoGJFePrp8Vx77bUMHz6cl19+WZchFU/p1KkTKSkpTJ06lT59+uhjYRIQwQztzcDlxpjSxhl87AqsCeL+JELcev0RDhywDBvWkv/973/069fP7ZJECiU2NpaZM2dSt25dunTpgob+pKgK8pGvj4F5QGNjzFZjzD3GmOuMMVuBdsAkY8w037KxxpjJANbaBcDnwBJgpW9fbwXpcUiEWLrUsnpjKcCQnt6Io4+PgzffhHnzQJeNFA8qXrw4I0aM4Nprr6Vjx45s3brV7ZLEw0w4fldsQkKCTUlJcbsMCbGMjAwqV/6N/ftjAQNY4qPWkJoZ7yxgDDRuDJdckv124YVuli1SYMOGDWPUqFF8++231K9f3+1yJIwYYxZba/O87kkWDRJKWEhPT6d376fYv/8VnMAGMKzKvJgVU7fR4vgiWLoUliyBOXPg449Pr1ynzplBXquWE/IiYeTxxx+nfPnydOrUiWnTphEfH+92SeIxCm1x3dGjR7nxxhuZO3dkLnMNtzxWg9TUPtCnz+nJu3c7Z6wtXXr6lpwMWT1HlStDq1Zw6aWng7xhQ4jSlXvFXYMGDaJcuXJ07dqVSZMmcdlll7ldkniIQltclZaWRt++falevTonT9bhdCv7tJ9/zmXFypXh6qudW5ZDh2DFiuxB/sYbkJ7uzC9TBlq2dAI8K8zj46FEiaA8NpG83HrrrZQtW5aePXvyxRdf0KFDB7dLEo/QmLa4Zu/evfTq1YsWLVqQlJREdHS0M6NJE6eV/MknRd9JejqsXp09yJctcwIeoHhxJ7j9u9ZbtoRy5Yq+b5F8zJgxg1tuuYUPPviA7t27u12OuKigY9oKbXHFrl27uPrqq+nWrRuvvvpq9kuSNm0KzZrB+PHB2XlmptN8zxojzwrzrI/jGON0peccJ9dFfyQI5s6dy3XXXcfo0aP18cbzmE5Ek7B19OhR+vTpQ8+ePfn73/9+5jXEjXGCNViiopxQbtgQ+vd3plkL27Zlb5HPnw+ffnp6vZo1s4+RX3KJcxKcTniTImjfvj1TpkyhR48eVK1aVZfplbNSaEtIZWZmctttt3HRRRflHtjghGqoe4CMcUK5Zk249trT0/fuPfOEt0mTTh9UVKrkdOX7j5M3agRZXf0iBXDppZcyduxY/u///o8ffviBBg0auF2ShCmFtoTUE088wc6dO/n222/z/pauqKjgtrTPRaVKcNVVzi3LkSNnnvA2YgRkfR1j6dLQokX2FnmzZlBSXycveevRowfPP/88vXr1Yu7cuVSuXNntkiQMKbQlZJKSkkhOTmbevHlccMEFeS8Y7O7xoipdGi6/3LllOXEC1q7NPkb+4YeQlOTML1bMGav3D/JWraB8eXceg4SlgQMHsmHDBvr168eMGTMoqQM9yUEnoklITJ48mXvuuYc5c+bkfyWoSy91Lo6SnBya4oIlMxM2bjwd4lmBvmPH6WXq1z9znLxaNfdqFtdlZmZy8803ExUVxYcffkiUri1wXtDZ4xI2li5dyjXXXENycjLt2rXLf4WEBKheHSZODH5xbti+PXvX+tKlsGHD6fk1apwO8KxAj4vTCW/nkWPHjtG1a1c6derE0KFD3S5HQkBnj0tY2LJlC7179yYpKalggQ3h3z1eVDVqOLdevU5P27//zBPepk2DjAzk6shMAAAgAElEQVRnfsWKp094y7o1aeJ0u0vEKVmyJBMmTKBdu3bUq1ePe++91+2SJEzoP16C5uDBgyQmJvLwww9zww03FHzFcDoRLVQqVoTOnZ1blqNHITU1+zh5UhIcO+bML1nyzBPemjeHUqXceAQSYJUrV2by5Ml06NCBOnXq6OIrAqh7XILEWkvfvn2pWbMmb775Zt5niuemXTvnBK1p04JXoFedPAnr1p05Tn7ggDM/OtppgfuPk7dq5RwUiCf973//47rrrmPu3Ln6KFgEU/e4uOqtt97i119/5fPPPz+3wIbzs6VdUMWKOZddjY+HAQOcadbCpk3Zu9a/+w4++OD0evXqnTlOXqOGKw9Bzs0VV1zBk08+yW233cYPP/xAMQ2JnNfU0paA+/HHH7niiiuYPXs2F1988blv4Mor4YILnOCRwtux48wT3n766fT8atWyd61feqkT7jpbOexkZmbSvXt3OnbsyNNPP+12ORIEammLK06cOMFtt93Gs88+W7jABneuiBaJqlWDHj2cW5aDB2H58uzj5DNmON3u4AxL5Dzh7eKLnS9WEddERUXx3nvvcemll9KjRw9at27tdkniEoW2BNRLL71ETEwMgwcPLvxG1D0ePOXLQ4cOzi3LsWOwalX2cfK333au/AZOr0ezZtnHyVu0cC4yIyFTs2ZN/v3vfzNgwACWLFlCmTJl3C5JXKDucQmYBQsW0LdvX5YsWUJsbGzhN9Sli/NRp9mzA1ecnJuMDPjxxzO71/fudeZHRUHjxtm71lu1ci77KkF12223Ua5cOd588023S5EAUve4hNShQ4cYMGAAb775ZtECG5xAyOquFXdERzvd4hdfDLfc4kyzFrZsyd61Pns2fPTR6fXq1j3zK01r1tSFYQJoxIgRtGzZksmTJ9PL/7P+cl5QaEtAPProo1x55ZVcf/31Rd+YusfDkzHOV5HWqQP+3/u8a1f2C8MsWQITJpw+L6FKlTODvEEDnfBWSBUqVOD999/n5ptvZvny5VTR97yfVxTaUmTJycnMmDGDZcuWBWaDCm1vqVIFunVzblkOHXJOePPvWn/9deeLVQDKloWWLbOPkzdtCiVKuPMYPKZTp04MGDCAe++9l6+++urcP1YpnqUxbSmSffv20bRpUz777DOuvPLKwGy0Rw/Ytw8WLAjM9iQ8pKfD6tXZu9eXL3cCHpzAjo/P3iJv2dIJeDnD8ePHadu2LY8++ii333672+VIEekLQyQkhgwZQlpaGqNHjw7cRnv1gt27YeHCwG1TwlNmpvPZ8ZxXeNu925lvDDRqdGb3ur5rGoD58+dzww03sG7dOp1N7nEKbQm6jRs3kpCQwKpVq6hevXrgNnzttfDbb6C/gfOTtfDrr2eeuf7LL6eXqVXrzK80rV37vDzhrX///rRo0YKnnnrK7VKkCBTaEnS33HILTZo04Zlnngnshnv3dt60lywJ7HbF2/bsOfOb0NatO33+w4UXnr4wTFagN2zonAkfwX7++WfatGnD6tWrqabvYvcshbYE1aJFi+jXrx8//vhj4Lvl+vaFzZudN2WRszl8GFauzN61vnKlM34OzgVgWrbM3iJv1sy5YEwEeeSRRzh27BhJSUlulyKFpNCWoLHW0rlzZ26//XbuueeewO/guutgwwbnJCWRc3XiBKxZc2b3elqaMz/rS1f8g7xVKyhXzt26i2DPnj00adKk8Nf7F9fp4ioSNMnJyezdu5c777wzODswRh/5ksIrXty5zGqLFnDHHc60zEznQNA/xKdMgffeO71egwZnjpNXrerKQzhXF154IU888QRPPPEEycnJbpcjQaSWtpyTEydO0Lx5c/75z3/Ss2fP4Ozkhhtg7VpITQ3O9kWybN+evWt96VLYuPH0/NjYM78JrW7dsDzh7dixY1x88cW89957dOrUye1y5ByppS1BMWbMGGrXrk0P/2+OCjRdXEVCpUYN5+Z/OdD9+8884W3qVOd67AAxMWd+E1rjxk63u4tKlizJ0KFDGTJkCAsWLCBKV5yLSGppS4EdPHiQRo0aMXXqVFq1ahW8Hd10k/OmuXZt8PYhci6OHj19wlvWbcUK5xvSAEqVcrrj/YO8eXMoWfLUJoZt3kzrcuXoEhNzatrMfftYlJbG43XqBKTMzMxM2rZtyyOPPMItWdeMF09QS1sCLikpiauvvjq4gQ0a05bwU6oUtGnj3LKcPOl85My/e/3jj2HUKGd+1peu+MbJW7dqRf9ixRgfH0+XmBhm7ttH/9WrGd+0acDKjIqK4pVXXuH+++/npptuUms7Aim0pUAyMjJISkri888/D/7OoqJOf9mESLjKOgs9Ph4GDHCmWQubNmVvkX/7LYwdSxdgfKtW9H/hBe4/doyk2FjGN22areUdCF26dOGCCy7gu+++o5v/9eAlIii0pUAmT55MtWrVSEjIt/em6DSmLV5lDNSr59z8v/Fuxw5YupQuS5dy//TpvPh//8fTsbEBD2ynBMPgwYMZOXKkQjsCqe9ECmTkyJEMHjw4NDtT97hEmmrVoEcPZg4aRFL37jw9Zw5J27Yxc9++oOzu1ltv5YcffmDz5s1B2b64R6Et+Vq/fj1Lliyhf//+odmhusclAp0awx43jhfmzmV806b0X706KMFdtmxZBgwYwKis8XWJGAptyVdSUhJ33303Jf3OhA0qdY9LBFqUluaMYf/4IxQrRpeYGMY3bcqirCu1BdgDDzzAO++8w/Hjx4OyfXGHxrTlrA4fPszYsWMJ6Ufw1D0uEejUx7pOnjz1JSZdYmKCMq4N0LhxY1q0aMFnn33GgKwT5cTz1NKWs/roo49o3749cXFxodupWtoSyTIyQvbNY1knpEnkUGhLnqy1oT0BLYvGtCWSZWSE7Opp1157Lb/++itL9DW3EUOhLXmaO3cuhw8fDv3HRtTSlkjm1z0ebMWKFWPQoEFqbUcQhbbk6b333mPgwIGhv6qSxrQlkoWwexzg97//PZ999hlHjx4N2T4leBTakitrLZMnT6Zfv36h37m6xyWShTi0q1atSsuWLZk1a1bI9inBo9CWXC1btowyZcrQsGHD0O9c3eMSyUI4pp0lMTGRSZMmhXSfEhwKbcnVpEmTSExMdGfn6h6XSBbCMe0sWaEdjt/qKOdGoS25cjW01T0ukSzE3eMAzZo1IyMjgzVr1oR0vxJ4Cm05w65du1izZg0dO3Z0pwB1j0skc6F73BhDYmIikydPDul+JfAU2nKGqVOnctVVV1GiRAl3ClD3uEQyF7rHQePakUKhLWeYNGkSvXr1cq8AtbQlkrnQPQ5w1VVXsXjxYg4cOBDyfUvgKLQlm5MnTzJ9+nT3Q1tj2hKpXArt0qVLc+WVVzJ9+vSQ71sCR6Et2cydO5e4uDhiY2PdK0ItbYlkLoxpZ1EXufflG9rGmP8YY3YaY1L9pt1ojFlljMk0xiTksV5jY8wyv9tBY8zDgSxeAm/q1KnutrJBY9oSuax1raUNTmhPmTJFH/3ysIK0tN8DeuSYlgpcD8zOayVr7TprbStrbSvgMuAI8FUh65QQWbp0KW3btnW3CHWPS6TKOhh1KbTj4uKw1rJ9+3ZX9i9Fl29oW2tnA3tzTFtjrV13DvvpCvxsrf3lHOuTEEtNTaVZs2buFqHucYlUGRnOT5e6x8H5zHZqamr+C0pYCtWY9k3Ax2dbwBgz0BiTYoxJ2bVrV4jKEn/79u1j//791K1b191CjHF+qrUtkebkSeenSy1tgObNm7Ny5UrX9i9FE/TQNsaUAPoAn51tOWvtW9baBGttQpUqVYJdluRi1apVxMfHh/5bvXLK2r9CWyJNVkvbxdBWS9vbQvHu3BNYYq3dEYJ9SRGERdc4nA5tdZFLpFH3uBRRKEL7ZvLpGpfwsHLlSoW2SDCFQUs7Pj6e1atXk5FVi3hKQT7y9TEwD2hsjNlqjLnHGHOdMWYr0A6YZIyZ5ls21hgz2W/d0kA34MvglC+BlJqaSvPmzd0u4/SYtkJbIk0YjGmXL1+eKlWqsHHjRtdqkMLLt4/GWntzHrPO+PiWtXYb0Mvv/hHgwkJXJyFjrQ2/7nGNaUukCYOWNpzuIm/QoIGrdci50xXRBIDt27cTFRVF1apV3S5F3eMSucJgTBuc0NYZ5N6k0BbgdNe4yeqadpO6xyVShUH3ODgf+9LJaN6k0BYAfv755/DpKlP3uESqMOkeb9CgARs2bHC1BikchbYAcODAASpWrOh2GQ51j0ukCpPu8YoVK+orOj1KoS2AE9oVKlRwuwyHusclUoVJS7tChQoKbY9SaAsABw8eDJ/QVktbIlWYjGmXL19eoe1RCm0BnJZ2+fLl3S7DoTFtiVRh0tIuVaoUGRkZHD9+3NU65NwptAUIs+5xtbQlUoXJmLYxhgoVKnDw4EFX65Bzp9AWIMy6xzWmLZEqTLrHQePaXqXQFiBMW9rqHpdIEybd46Bxba9SaAsQpmPaamlLpAmT7nFA3eMepdAWQN3jIiGh7nEpIoW2AE5oh11LW93jEmnCqHu8XLlypKWluV2GnCOFtgAQHR0dPt+vq+5xiVRh1D2ekZFBVJQiwGv0igkQZl1l6h6XSBVGLe2wGhKTAlNoCxBmZ5KqpS2RKozGtMPqEyNSYAptAcKspa0xbYlUYdTSDqtPjEiBKbQFCLOPf6ilLZEqjMa01T3uTQptAcKse1xj2hKp1D0uRaTQFkDd4yIhESbd45mZmaSlpal73IMU2gKoe1wkJMKke/zQoUOUKlWK6DBo8cu5UWgLoO5xkZAIk5a2xrO9S6EtgLrHRUIiTMa0NZ7tXQptAaBSpUrs3r3b7TIc6h6XSBUmLe09e/YQExPjag1SOAptAaBJkyasWbPG7TIcCm2JVGEypr169WqaNGniag1SOAptASA+Pp7Vq1eTGQ5BqTFtiVRh0j2emppKs2bNXK1BCkehLYAzpl25cmU2btzodika05bIFSbd46mpqTRv3tzVGqRwFNpySrNmzUhNTXW7DHWPS+QKg+5xa61a2h6m0JZTmjVrxsqVK13b/7DNm5m5b1+27vGZ+/YxbPNm12oSCagwaGn/9ttvAFSrVs21GqTwFNpySvPmzV1tabcuV47+q1cz0/eGNjMjg/6rV9O6XDnXahIJqDAY087qGjdZB8fiKQptOcXt7vEuMTGMb9qU/lFRPHPXXfTPzGR806Z00UdTJFKEQUtbXePeptCWU5o0acLPP/9Menq6azV0iYnh/qgoXrz9du4/eVKBLZElI8M5Z8PFVu7KlSsV2h6m0JZTSpYsSVxcHOvWrXOthpn79pEUFcXTY8eS5LsvEjFOntSZ41IkCm3Jxs2T0Wbu20f/1asZHx/PC59+yvgFC5wxbgW3RIqMDFdDOzMzk9WrVxMfH+9aDVI0Cm3Jpm3btvzwww+u7HtRWpozhl2pEjRoQJd58xjftCmL0tJcqUck4DIyXP241+LFi6ldu7auO+5h7l5LT8JOYmIi3bt3x1ob8rNLH69T5/SdRo1g+XK6xMRoXFsih8st7UmTJpGYmOja/qXo1NKWbJo0aUKxYsXcv8hKw4awcSOcOOFuHSKB5PKY9uTJkxXaHqfQlmyMMfTq1YtJkya5W0ijRs4b3KZN7tYhEkgudo/v2LGD9evXc+WVV7qyfwkMhbacITEx0f3QbtjQ+bl+vbt1iASSi93jU6ZM4eqrr6Z48eKu7F8CQ6EtZ+jcuTPLly9n79697hXRqJHz88cf3atBJNBc7B7XeHZkUGjLGUqVKkWnTp2YNm2ae0VUrgwVKqilLZHFpZb2iRMnmDFjBj179gz5viWwFNqSq8TERCZPnuxeAcY4rW21tCWSuDSmPWfOHBo2bKgvCYkACm3JVa9evZg6dSoZWddKdkPDhmppS2RxqaU9adIkevXqFfL9SuAptCVXderUoUaNGixcuNC9Iho1gs2b4dgx92oQCSSXxrQ1nh05FNqSp759+zJ+/Hj3CmjYEKyFn392rwaRQHKhezw1NZWDBw9y2WWXhXS/EhwKbcnTPffcwwcffMCRI0fcKSDrDHJ1kUukcKF7fOTIkQwcOJCoKL3dRwK9ipKnuLg42rdvz0cffeROAVmf1dbJaBIpQtw9fuDAAT755BPuvffekO1TgkuhLWc1ePBgRo4cibU29DuvUAGqVlVLWyJHiFvaY8eOpVu3bsTGxoZsnxJcCm05q27dunHo0CHmzZvnTgENG6qlLZEjhGPa1lrefPNNBg8eHJL9SWgotOWsoqKieOCBBxg5cqQ7BTRqpJa2RI4Qdo9///33REdH07Fjx5DsT0JDoS35uvPOO5k8eTI7duwI/c4bNoTt20HfqS2RIITd4yNHjmTw4MEh/4pdCS6FtuQrJiaGG264gTFjxoR+51lnkP/0U+j3LRJoIeoe37JlC7NmzWLAgAFB35eEVr6hbYz5jzFmpzEm1W/ajcaYVcaYTGNMwlnWrWiM+dwYs9YYs8YY0y5QhUtoDR48mNGjR3Py5MnQ7lhnkEskCVFLe/To0dx6662UK1cu6PuS0CpIS/s9oEeOaanA9cDsfNYdDky11jYBWgJrzrVACQ+tWrWidu3afPPNN6HdcYMGzk+Na0skCMGY9vHjxxkzZgwPPPBAUPcj7sg3tK21s4G9OaatsdauO9t6xpjyQEfgHd866dba/UWoVVz2hz/8gWHDhoX241+lS0OtWmppS2QIQff42LFjad68ORdffHFQ9yPuCOaY9kXALuBdY8xSY8wYY0yZvBY2xgw0xqQYY1J27doVxLKksG688UaOHz/OF198Edod6wxyiRRB7h4/dOgQzz33HH//+9+Dtg9xVzBDuxhwKZBkrb0EOAz8Oa+FrbVvWWsTrLUJVapUCWJZUlhRUVG8+uqr/PnPfyY9PT10O9ZntSVSBLl7/B//+AedOnUiISHPU43E44IZ2luBrdbaBb77n+OEuHhY165dady4MUlJSaHbaaNGsHcv7NkTun2KBEMQW9rbt2/nX//6F0OHDg3K9iU8BC20rbW/AVuMMY19k7oCq4O1PwmdYcOGMXToUPbvD9EpCllnkKuLXLwuiGPazz77LHfffTdxcXFB2b6Eh4J85OtjYB7Q2Biz1RhzjzHmOmPMVqAdMMkYM823bKwxZrLf6g8BHxpjVgCtAB0CRoD4+Hj69u0buiN6fduXRIogtbRXrVrF119/zZNPPhnwbUt4yfeQz1p7cx6zvspl2W1AL7/7ywANrkSg559/nubNmzN48GDq1q0b3J3VqwdRURrXFu8L0pj2448/zpNPPklMTEzAty3hRVdEk0KpUaMGDz74IH/961+Dv7MSJZzgVktbvC4I3ePfffcda9eu1eeyzxMKbSm0IUOGMHPmTFJSUoK/M51BLpEgwN3jmZmZ/OlPf+Lll1+mRIkSAduuhC+FthRa2bJlee655xgyZEjwL7iS9VltN77XWyRQAtw9Pm7cOC644AJuuOGGgG1TwptCW4rkrrvu4vDhw4waNSq4O2rYEA4dgt9+C+5+RIIpgC3tbdu28ac//Ynhw4frm7zOIwptKZJixYoxbtw4nnnmGdatO+uVbYtGZ5BLJAjQmHZmZiZ33XUXDzzwAG3atAlAYeIVCm0pssaNG/PCCy8wYMAATpw4EZyd6Nu+JBIEqKU9cuRIDhw4EJoTQSWsKLQlIAYNGkTVqlV54YUXgrODOnWcs8jV0hYvC8CY9urVq3nhhRf44IMPKBaC7+aW8KLQloAwxvDOO+/w9ttvM3fu3MDvIDoa6tdXS1u8rYjd4+np6QwYMICXXnqJhlm9T3JeUWhLwFSvXp1Ro0Zx2223kZaWFvgdNGyolrZ4l7WQmVmklvZzzz1HzZo1uffeewNYmHiJQlsCql+/fnTu3JlHHnkk8Btv1Ah++sl54xPxmowM52chQ/uHH37g3XffZcyYMTpb/Dym0JaAe+ONN5g5cyZff/11YDfcsCEcPw5btgR2uyKhkBXahegeP3jwILfffjtvvfUW1apVC3Bh4iUKbQm4cuXK8cEHHzBo0CC2b98euA3rY1/iZUVoaf/hD3/gmmuuoXfv3gEuSrxGoS1B0b59ewYPHky/fv04cuRIYDaqj32JlxUytIcPH05KSgr/+Mc/glCUeI1CW4LmqaeeonHjxgwYMICMrDesooiNhdKl1dIWbzp50vl5DqH99ddf8+qrrzJp0iTKli0bpMLESxTaEjTGGMaMGcO+ffv405/+FIgN6otDxLvOcUx74cKFDBw4kAkTJgT/62/FMxTaElQlSpTgyy+/ZMqUKYwYMaLoG8z64hARrzmH7vGNGzfSr18/3nnnHS677LIgFyZeotCWoIuJiWHy5MkMHTqUb775pmgba9iQ7T//TKeOHflNXx4iXlLA7vF9+/aRmJjIk08+qRPP5AwKbQmJevXq8dVXX3H33XezePHiwm+oUSNezMxkzpw5wbtkqkgwFKB7PD09neuvv57u3bvz4IMPhqgw8RJduFZCpm3btowePZo+ffowd+7ccx6nK1WqFMeOHXPuWEtSUhJJSUmULFaMo2++CWXLOrcyZbL/zPr9gguccXERN+TTPW6t5fe//z0VK1bktddeC2Fh4iUKbQmp66+/nl9++YXExET+97//UaFChQKvu2HDBob88Y98/fnnHLGW0sB1wGsnT8LAgflvIDr67KGe17T85utgQAoin+7x559/nrVr1zJr1iyiA/Sd2xJ5FNoScg8//DA///wzffv2ZeLEiQX+KEuNGjUof+GFHDOGkhdcwLH0dMrfey/VX34ZDh2Cw4edn/6/F2Ta7t2waVP2+cePF/wBRUcH/kAgwAcDwzZvpnW5cnSJiTk1bea+fSxKS+PxOnUCsg/Jx1la2klJSYwdO5Z58+ZRunTpEBcmXqLQlpAzxjB8+HDuu+8+unXrxuTJk4nxC5Oz2bFjB4MGDWLgwIG89dZbzhXXKlZ0boF04oQT3oU9EDh0CPbsgc2bs087l4OBqKjCh36Oaa2jo+n/yy+Mb9iQLtWqMXP/fvqvXs34pk0D+7xJ3vIY03711Vd58803mTFjhi5RKvky1lq3azhDQkKCTUlJcbsMCTJrLY8++igzZ85k+vTpVK1a1e2Sgu/kybMHfWEODgp4MDCzVSv6P/ss93/zDUl9+jD+3/+my+bNgeslKFlSwwRns2IFtGwJX3wB11+PtZZnnnmGzz//nG+//ZZatWq5XaG4yBiz2FqbkN9yammLa4wxvP766zz//PN06NCBGTNmULt2bbfLCq5ixaBCBecWSFkHA2cJ+i6HDnH/oUO8eNttPL1uHV0uugiqVj293L59sHVr9nWzTvwriKgoJ8QDNUSQ9bNUqcg4GPAb087MzOSRRx5h9uzZ/Pe//z0/DlglIBTa4ipjDM899xzlypU7FdwNGjRwuyzvKcDBwMx9+0havZqnY2NJKl6cLv37ZxvjztXJk3DkSOF7AQ4fhv37nYMB/2lHjxb8sRkTmPDPOa106dAeDGRksJ3q/O6vVxD78aNs2ZLCzJkzqRjooR2JaAptCQuPPfYY5cqVo1OnTkybNo1mzZq5XVJEmblv36kx7C4xMXSpWDHb/TwVKwblyzu3QMrIKPo5AwcPwrZt2acV5mCgqOGfc1peBwMZGbzI08xZVYnY/V1Yt+4lypQpE7jnVM4LCm0JGwMHDqRcuXJcffXVfPPNN7Ru3drtkiLGorS0bAHdJSaG8U2bsigtLf/WdjBERwfvYCCrZ6CwBwRZBwP+88/1m+pyCfWtaWV5l6+xRLF3bx/S0gzKbDlXCm0JKzfffDNly5YlMTGRzz77jE6dOrldUkTI7WNdXWJi3AnsYIqOhnLlnFsgZR0MFGZ44NAhTu7fz2NrbyTDdxHKjAzDiy/CyJGBLVMin84el7D0/fffc9NNN/H6668zYMAAt8sRKbSNGzfSu/dA1q6dREZGiVPTS5WCDRugenUXi5OwUdCzx3XtcQlLV111FTNmzOD5559n8ODBHD+XzzeLhInJkydz+eWXU7Hia0RHF882LyMDXnzRpcLEsxTaErZatGhBSkoK27Zto1OnTmzZssXtkkQKJCMjg2eeeYaBAwfyxRdfcPhwS9LTs5+clp4Oc+e6VKB4lkJbwlqFChX48ssvuf7662nTpg0zZsxwuySRs9q9eze9evVi9uzZpKSkcOWVV7J0KVh75m3pUrerFa9RaEvYM8bw+OOP89FHH3H77bfz0ksvkZmZ6XZZImdYtGgRCQkJtGzZkhkzZlBdA9YSYApt8YwuXbqwaNEiJk2aRL9+/di3b5/bJYkAziV5R48eTWJiIq+//jrDhg2j2Fm+N1uksBTa4ik1a9Zk1qxZ1KtXj4SEBJYtW+Z2SXKeO3LkCHfeeScjRoxgzpw5XH/99W6XJBFMoS2eU6JECYYPH85LL71Et27d+Ne//kVG1jcoiYTQ4sWLufzyyzl58iTz58+nUaNGbpckEU6hLZ510003MWfOHD7//HPat2/PihUr3C5JzhOHDx/mscceo1evXgwZMoRx48bpkqQSEgpt8bTGjRsza9Ysfv/739O1a1eefPJJjp7L9adFzlHWtfF37NhBamoqt99+OyYSvoVMPEGhLZ4XFRXFvffey4oVK/jpp59o0aIF33//vdtlSYTZuXMnt956K4MGDWLUqFGMGzeOKlWquF2WnGcU2hIxatSowfjx43n99de58847ufvuu9mzZ4/bZYnHWWt5//33ad68OTVq1CA1NZXu3bu7XZacpxTaEnF69+7NqlWrKFu2LM2aNePjjz8mHK+xL+Hvp59+olu3bgwfPpwpU6bw2muvaexaXKXQlohUrlw5/vWvf/HVV18xdOhQEhMT+fHHH90uSzzi6NGj/P3vf+fyyy+nZ8+eLFy4kEsvvdTtskQU2hLZLr/8cpYsWUKnTtK1w38AAA05SURBVJ1o3749d911Fxs3bnS7LAlTx48fZ8SIETRo0ICFCxeyaNEiHnvsMV0oRcKGQlsiXvHixXniiSdYv349tWrVIiEhgUGDBrF161a3S5MwceLECd5++20aNWrElClTSE5O5quvvqJevXpulyaSjUJbzhsxMTG8+OKLrFu3jgoVKtCiRQv++Mc/8ttvv7ldmrgkIyODsWPH0qRJEz799FM++eQTJk2axGWXXeZ2aSK5UmjLeady5cq88sorrF69GmMM8fHxPPHEE+zevdvt0iREMjMz+fTTT2nWrBlvv/0277zzDjNmzKBdu3ZulyZyVgptOW9Vr16dN954g+XLl3Pw4EEaN27M008/zf79+90uTYLEWsvXX3/NJZdcwuuvv87w4cOZPXs2nTt3drs0kQJRaMt5r1atWiQlJbF48WK2bdtG/fr1eeihh0hNTXW7NAmQAwcO8Oabb9KyZUuee+45/va3vzF//nyuueYaXc1MPEWhLeITFxfHO++8w9KlS4mJiaF79+506NCBDz/8kGPHjrldnhTC4sWLuffee4mLi2PWrFm88cYbLFmyhN69eyusxZMU2iI51KlThxdeeIFNmzbx6KOPMnbsWGrXrs2QIUP0WW8POHz4MGPGjCEhIYEbbriBiy66iDVr1jB+/HiuuuoqoqL0tifepb9ekTwUL16c6667jmnTpjF//nyKFStGhw4d6Nq1K5999hnp6elulyh+Vq5cyYMPPkjt2rWZOHEiL774Ij/99BN/+ctfqF69utvliQREvqFtjPmPMWanMSbVb9qNxphVxphMY0zCWdbdZIxZaYxZZoxJCVTRIqFWv359Xn75ZTZv3sy9997Lm2++Sd26dXnyySdZsWKFLpPqkj179vDuu+9yxRVX0LNnTypXrsyKFSv4+uuv6dmzJ9HR0W6XKBJQJr83G2NMR+AQMNZa28w37WIgExgNDLHW5hrIxphNQIK19pw+S5OQkGBTUpTxEt7Wrl3LmDFj+OKLLwDo06cPffr0oWPHjhQvXtzl6iLXTz/9xIQJE0hOTmbZsmV07dqVO+64g8TERF25TDzLGLPYWptnI/jUcgVpIRhj4oCJWaHtN30WCm05z1lrSU1NJTk5meTkZNavX0+PHj3o27cvPXr0oEKFCm6X6GmZmZksWLCA5ORkJkyYwL59+04dIHXt2pWSJUu6XaJIkYVLaG8E9gEWGG2tfSvfnaHQFm/btm0bEydOZMKECfzwww9cfvnlp0KmTp06bpfnCUeOHGHGjBkkJyczceJEqlSpQt++fenTpw8JCQk6mUwiTriEdqy1dpsxpirwLfCQtXZ2HssOBAYC1KlT57Jffvkl37pEwt2hQ4eYPn06ycnJTJo0idjYWNq3b0/btm1p06YNTZo0UQABu3btYuHChSxYsIAFCxYwb948EhISTh3sXHTRRW6XKBJUYRHaOZZ9DjhkrX0tv2XV0pZIlJGRQUpKCvPnzz8VTnv27CEhIYG2bdueulWrVs3tUoPq2LFjLF26NFtI79mzh9atW9OmTRvatm3LlVdeSaVKldwuVSRkChraQTtrwxhTBoiy1qb5fr8GeCFY+xMJd9HR0aeCOYt/C3PkyJHccccdVKhQ4dRyrVu3pkGDBlSrVs2TLfK0tDQ2btzI8uXLTwX06tWrady4MW3btuWaa67h6aefpnHjxp58fCKhVpCzxz8GOgOVgR3As8Be4N9AFWA/sMxa290YEwuMsdb2MsZcBHzl20wx4CNr7UsFKUotbTlfWWtZv379qYBbvHgxGzZs4ODBg9StW5e4uDjq1auX7WdcXBxVqlRx5QpfR44c4ZdffmHjxo1s2rTpjJ9Hjx6lbt26NG/e/NSQwKWXXkrp0qVDXqtIOAto93ioKbRFsjt8+PBZw/HYsWOngjwmJoYyZcqccStdunSu0/+/vbsLsbyu4zj++eLWhS1Z6MqWUzmU9MgEsoZWiEUXtUWmbWT0ACVED4RdSNGNN9FFd9JFiFhEBHqRKeEDUYh5oUZbqaxo5cUsuxjsluvquhGO/rqYA63Tns7Z8Jz/+e15vWDYmbP/Yb58+e+8z/+cM7Pbtm3Lc88995K348ePj73t2WefzYEDB7K+vp6nn3567J2J1dXVwe5MQG9EG5bI0aNHs3///qyvr+fIkSNj43uyGG9sbEyM+4m3bd++PSsrK1ldXc3OnTs9rA0vg8Gf0wbm56yzzsra2lrW1taGHgWYIXeRAaATog0AnRBtAOiEaANAJ0QbADoh2gDQCdEGgE6INgB0QrQBoBOiDQCdEG0A6IRoA0AnRBsAOiHaANAJ0QaATog2AHRCtAGgE6INAJ0QbQDohGgDQCdEGwA6IdoA0AnRBoBOiDYAdEK0AaATog0AnRBtAOiEaANAJ0QbADoh2gDQCdEGgE6INgB0QrQBoBOiDQCdEG0A6IRoA0AnRBsAOiHaANAJ0QaATog2AHRCtAGgE6INAJ0QbQDohGgDQCdEGwA6IdoA0AnRBoBOiDYAdEK0AaATog0AnZgY7ar6cVUdqqp9J9z2qap6tKperKpdEz7/jKr6U1Xd8XIMDADLapor7Z8k+fCW2/YluTLJfVN8/jVJHju1sQCArSZGu7V2X5Knttz2WGvtz5M+t6pWknw0yU3/94QAQJLZP6d9fZJvJXlxxl8HAE57M4t2VX0syaHW2h+mPP7LVbW3qvYePnx4VmMBQLdmeaX9viQfr6r1JLck+WBV/Wzcwa21G1tru1pru3bs2DHDsQCgTzOLdmvtO621ldba+UmuSnJPa+1zs/p6AHC6m+ZHvm5O8kCSt1bVwaq6uqquqKqDSS5JcmdV/Wp07Our6q7ZjgwAy2nbpANaa58Z81e3neTYJ5PsPsnt9ya59xRnAwBO4DeiAUAnRBsAOiHaANAJ0QaATog2AHRCtAGgE6INAJ0QbQDohGgDQCdEGwA6IdoA0AnRBoBOiDYAdEK0AaATog0AnRBtAOiEaANAJ0QbADoh2gDQCdEGgE6INgB0QrQBoBOiDQCdEG0A6IRoA0AnRBsAOiHaANAJ0QaATog2AHRCtAGgE6INAJ0QbQDohGgDQCdEGwA6IdoA0AnRBoBOiDYAdEK0AaATog0AnRBtAOiEaANAJ0QbADoh2gDQCdEGgE6INgB0QrQBoBOiDQCdqNba0DP8l6o6nGT/0HMskHOS/H3oIRaY/YxnN+PZzXh2M96sdvOm1tqOSQctZLR5qara21rbNfQci8p+xrOb8exmPLsZb+jdeHgcADoh2gDQCdHuw41DD7Dg7Gc8uxnPbsazm/EG3Y3ntAGgE660AaATor1AquqaqtpXVY9W1TdP8vdVVT+oqieq6pGqunCIOYcwxW7eVlUPVNW/quraIWYcyhS7+ezofHmkqu6vqncPMedQptjP5aPdPFRVe6vq/UPMOYRJuznhuIuq6oWq2jPP+YY0xXlzWVUdHZ03D1XVdXMZrLXmbQHekrwryb4kZybZluQ3SS7YcszuJHcnqSQXJ/nd0HMv0G7OTXJRku8luXbomRdsN+9N8trR+x9ZlvPmFPazPf95qnAtyeNDz70ouxkdd0aSe5LclWTP0HMvym6SXJbkjnnP5kp7cbw9yYOtteOttY0kv01yxZZjLk/y07bpwSSvqarXzXvQAUzcTWvtUGvt90meH2LAAU2zm/tba0dGHz6YZGXOMw5pmv0ca6PvwklelWRZXugzzfecJPlGkluTHJrncAObdjdzJ9qLY1+SS6vq7Ko6M5tX1W/Ycsx5SQ6c8PHB0W2nu2l2s6xOdTdXZ/PRmmUx1X6q6oqqejzJnUm+NOcZhzJxN1V1XjZjdcMA8w1p2n9Xl1TVw1V1d1W9cx6DbZvHF2Gy1tpjVfX9JL9OcizJw0k2thxWJ/vUWc82tCl3s5ROZTdV9YFsRntpnrOddj+ttduS3FZVlyb5bpIPzXXQAUy5m+uTfLu19kLVyb79nJ6m3M0fs/mrR49V1e4ktye5YNazudJeIK21H7XWLmytXZrkqSR/3XLIwbz03t5KkifnNd+QptjN0ppmN1W1luSmJJe31v4x7xmHdCrnTmvtviRvrqpz5jbggKbYza4kt1TVepI9SX5YVZ+Y85iDmLSb1tozrbVjo/fvSvKKeZw3or1Aqurc0Z9vTHJlkpu3HPLLJF8YvYr84iRHW2t/m/OYg5hiN0tr0m5Gt/8iyedba3+Z/4TDmmI/b6nRZeToJzJemWQp7thM2k1rbbW1dn5r7fwkP0/ytdba7XMfdABTnDc7Tzhv3pPNns78vPHw+GK5tarOzuaLqb7eWjtSVV9JktbaDdl89ebuJE8kOZ7ki4NNOn//czdVtTPJ3iSvTvLi6Ec03tFae2a4kedm0nlzXZKzs3mVlCQbbbn+M4hJ+/lkNu8MP5/kn0k+fcIL0053k3azzCbtZk+Sr1bVRjbPm6vmcd74jWgA0AkPjwNAJ0QbADoh2gDQCdEGgE6INgB0QrQBoBOiDQCdEG0A6MS/Ac5ty6EfDYVgAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n", "Point 9: True\n", "Point 10: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: False\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: False\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n", "Point 6: True\n", "Point 7: True\n", "Point 8: True\n", "Point 9: True\n" ] }, { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Point 0: True\n", "Point 1: True\n", "Point 2: True\n", "Point 3: True\n", "Point 4: True\n", "Point 5: True\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo_mbc(chains)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 9.33329678, 13.27241993],\n", " [ 9.12427711, 12.63424015],\n", " [ 9.3860054 , 12.59624004],\n", " [ 9.47149754, 12.5957098 ],\n", " [ 9.55582809, 12.59519005],\n", " [ 9.72367477, 12.59519958],\n", " [10.01543999, 12.72404957],\n", " [10.09543037, 12.87689972],\n", " [10.09350967, 12.90021992],\n", " [10.08250999, 13.03376961],\n", " [10.02766991, 13.29854012],\n", " [ 9.67700958, 13.29658985]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pointpats.hull(chains[8])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(*pointpats.hull(chains[8]).T.tolist())\n", "plt.plot(*pointpats.hull(chains[8])[5].T.tolist(), markerfacecolor='k', marker='o')\n", "plt.plot(*pointpats.hull(chains[8])[6].T.tolist(), markerfacecolor='k', marker='o')\n", "plt.plot(*pointpats.hull(chains[8])[7].T.tolist(), markerfacecolor='k', marker='o')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.914822771306765, (8.333136366132898, 13.026633376705332))" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pointpats._circle(chains[8][-5], chains[8][-4], chains[8][-3])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 1 }