{ "cells": [ { "cell_type": "markdown", "id": "registered-karaoke", "metadata": {}, "source": [ "# Clustering methods\n", "\n", "Clustergram offers three backends for the computation - `scikit-learn` and `scipy` which use CPU and RAPIDS.AI `cuML`, which uses GPU. Note that all are optional dependencies but you will need at least one of them to generate clustergram.\n", "\n", "## Scikit-learn, SciPy and RAPIDS cuML backends\n", "\n", "Let's load the data on Palmer penguins dataset. See the [Introduction](introduction) for its overview." ] }, { "cell_type": "code", "execution_count": 1, "id": "native-newark", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:24:59.598442Z", "iopub.status.busy": "2023-07-18T21:24:59.597715Z", "iopub.status.idle": "2023-07-18T21:25:00.390311Z", "shell.execute_reply": "2023-07-18T21:25:00.389464Z" } }, "outputs": [], "source": [ "import seaborn\n", "from sklearn.preprocessing import scale\n", "from clustergram import Clustergram\n", "\n", "df = seaborn.load_dataset('penguins')\n", "data = scale(df.drop(columns=['species', 'island', 'sex']).dropna())\n", "\n", "seaborn.set(style='whitegrid')" ] }, { "cell_type": "markdown", "id": "filled-liberal", "metadata": {}, "source": [ "Using `scikit-learn` (default):" ] }, { "cell_type": "code", "execution_count": 2, "id": "special-individual", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:00.395038Z", "iopub.status.busy": "2023-07-18T21:25:00.394786Z", "iopub.status.idle": "2023-07-18T21:25:00.868480Z", "shell.execute_reply": "2023-07-18T21:25:00.868077Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K=1 skipped. Mean computed from data directly.\n", "K=2 fitted in 0.142 seconds.\n", "K=3 fitted in 0.052 seconds.\n", "K=4 fitted in 0.056 seconds.\n", "K=5 fitted in 0.049 seconds.\n", "K=6 fitted in 0.053 seconds.\n", "K=7 fitted in 0.068 seconds.\n" ] }, { "data": { "text/plain": [ "Clustergram(k_range=range(1, 8), backend='sklearn', method='kmeans', kwargs={'n_init': 10})" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cgram = Clustergram(range(1, 8), n_init=10, backend=\"sklearn\")\n", "cgram.fit(data)" ] }, { "cell_type": "markdown", "id": "documented-mother", "metadata": {}, "source": [ "Using `cuML`:" ] }, { "cell_type": "code", "execution_count": 3, "id": "frequent-rover", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:00.870474Z", "iopub.status.busy": "2023-07-18T21:25:00.870266Z", "iopub.status.idle": "2023-07-18T21:25:04.738445Z", "shell.execute_reply": "2023-07-18T21:25:04.737553Z" }, "tags": [ "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K=1 skipped. Mean computed from data directly.\n", "K=2 fitted in 0.072 seconds.\n", "K=3 fitted in 0.004 seconds.\n", "K=4 fitted in 0.004 seconds.\n", "K=5 fitted in 0.004 seconds.\n", "K=6 fitted in 0.004 seconds.\n", "K=7 fitted in 0.004 seconds.\n" ] }, { "data": { "text/plain": [ "Clustergram(k_range=range(1, 8), backend='cuML', method='kmeans', kwargs={})" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cgram = Clustergram(range(1, 8), backend='cuML')\n", "cgram.fit(data)" ] }, { "cell_type": "code", "execution_count": 4, "id": "2a4b1089-57d0-47db-b476-fa821c85554a", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:04.744156Z", "iopub.status.busy": "2023-07-18T21:25:04.743563Z", "iopub.status.idle": "2023-07-18T21:25:05.409019Z", "shell.execute_reply": "2023-07-18T21:25:05.408471Z" } }, "outputs": [ { "data": { "image/png": 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9PV2kNqk6MyGVj1jJz7BhwyQdh1guX76M8+fP4+XLl0hJSYGpqSnGjRuH4cOH01gkOXT48GEYGxvDxsZG+P+TFh6OsOWrwBfhElbS02d4uXINmq1ZCbayMpycnLB3715ERERIO3SZGTBggLAIXtb373ixaCmyRag5k/HpM14sXoYWm9ZDWVsLnTt3Rs+ePXHz5k1phywzzZs3x9ChQwHk9SS+XLYK6SK8NrITEvFiyTK02LAOanVNYG5ujrFjx2L//v1lPpeqMxNSOVW4wlZcXBzevHmDjIwMScRTLocPHwaHw8HChQuxZ88edOvWDcuWLcOuXbsYj4WULiEhAf/73//g5uYmHH8i4PHwZsNmkRKffKlv3iLy7xPC+wUvwVZFLi4uwtvvt3uJlPjky4qNxYfde4s9VlXk7OwsvP3pyFGREp98vPQMvNn0q3aZs7NzqV+grKyscP78eWzbto0SH0IqIbGTn+vXr6Nfv37o3r07hg0bhufPnwMAEhMTMXToUFy7dk1iQZZkz5492Lp1K+zs7NCxY0fMnTsXI0aMwKFDh6rlbCB5tn//fnC5XNja2gqrgSeGPERWfHy5jxV77Tr42dkA8r55V9WyC5aWlrC2tgYAZERGITn0RbmPkfjwETLj8s5xr169quyyM1paWsIe6dz0dMTdulPuY3CjopD0PK+oobm5Obp06VJkHz09PWzevBkXL15EmzZtKhY0IURmxEp+bt68CU9PT+jo6MDDw6PQOAJdXV0YGhrizJkzEguyJPmryBdkaWmJtLQ0mfREkeIlJyfj8OHDAIDhw4cLH4++fEWs4+WmpiH+XiAAQEdHB3369KlwjPKo4GLB0Zf9xTsIn48Y/7zzzGazCx2zKunfv79wSnncrdvl6k0sKKbAa3LEiBHC22w2GxMnTsS9e/cwZswYWpaCkEpOrL/gXbt2oW3btvj777+LXcOrZcuWMpvp9fjxYxgaGgoLvxHZO3z4MFJTUwHkFX0DAH5urlg9GfmSnj4V3s4/ZlVT8PdKevK0lD1Ll/TkmfB2rVq1KhKS3Cp4rn48Fv9c/Xj8RHi74LnS19eHiYkJFBXFGiZJCJEzYv0lv3//HgsXLixxu76+vkzqijx69Ah+fn4VngEkEAik0nPE5XIL/VsdZGRkFBo4mp+U8jIygArMPMpN+zUTp6oup1Lw98oVceZRcXLTfxXuq1GjRoViklcFfy9eBc4VPzsb/JwcsJWUCq2/FRcXh5UrV2Lbtm0YO3YsnJ2dhZdvq6rq+H4lLjpX5SOt85VfZkcUYiU/HA6n1KCjoqKEZeSZEhMTg9mzZ8Pa2rrQwEdx5OTkSLXn6tOnT1I7trw5d+4cfvz4IbyfX5iQraxcoeOyVX49v6q+4RQs4liR88VWURHerqrnquDvVaHXFpsN9s/p6sWdq+TkZOzZswcHDhxA7969MXTo0Crbm5avOr1fVRSdq/KRxvlSFvHvX6zkx9raGufOnSt29kh8fDxOnjyJnj17inNosaSkpGDy5MnQ1tbGzp07K3w9XklJCRYWFhKK7hcul4tPnz6hXr161aLkfVZWFi5evFjoscSfs5UUVFWhamyMzOhosY6tXq9ekWNWNQV/L/V69ZCdIN7vWe3OlZkZkl+It8irej1T4e3Seq9zcnLg7++PK1euwMbGBpMmTULLli3FalNeVbf3q4qgc1U+0jpf4eHhIu8rVvIza9YsODg4YMSIEejXrx9YLBYCAgJw//59nDhxAgKBAB4eHuIcutwyMzMxZcoUpKam4sSJExK5BMJisaCmpiaB6IrH4XCkenx58c8//yAuLq7QYzdv3kSnTp0AAEa2ffHpsE+5j8tSUIChTd4gZx6Phzt3yj+zpzK4ceMGnJycAABG/WwLjUcpD6N+NsLbVbXOz82bN7FixQoAeb/vtwsXxbqsatTfVnj71q1bZe4vEAhw5coVXLlyBR06dMC0adPQq1evKjUgurq8X0kCnavykfT5Kk99P7H+Qs3NzfHXX39BW1sb27dvh0AgwMGDB+Ht7Y2GDRvir7/+Qp06dcQ5dLnk5uZi1qxZ+PjxIw4cOABDQ0Opt0lEk5OTg927dxd5/Pjx48LLOTX79BLrEoVOu7ZQ+bmw59WrV/HtW/HVjiu7Gzdu4OvXrwAAnbatoVLToNzHUKtrAq1meWvsvXv3DkFBQRKNUV6Eh4cjMDBvBiCndi1otWhe7mMoqKvBoHve0hSpqak4ffp0uZ5///59uLi4oE+fPjh58iSyf5ZjIITIH7G/njRo0ACHDx/G/fv3cfLkSZw4cQJBQUHw8fFB/fr1JRljiVatWoVbt25h6tSpSEtLw7Nnz4Q/9MYjW2fPnkVUVFSRx3/8+CG8FKakqQnTcWPLdVxFTQ3Uc/41w/DIkSMVC1SO8Xg8+Pr6AgBYbDbMJ08CytGjwFJUhNnkicL7VflcAYV/v3quzlDglK/+k9l4Vyj8HB916tQpsSc9vH37FrNnz0bHjh2xd+9e4UxHQoj8ECv58fLywrt37wDkFRdr0aIFrKyshHV33r9/Dy8vL8lFWYL8b3obNmyAg4NDoZ//Xm4hzOHxeKX+/+/bt0+4IGmtwYNgMsZBpOMq1qiBJsuXgPNzWnNYWBgCAgIqHrAcO3bsmHBBUt32bdFgxnSwRJhuzVZWRqN5s6H9swckPj6+3D0Zlc2VK1fw8eNHAICGuRkslyyCgroIXeosFuqNd4Fh394A8saqHTp0qMLxxMTEYM2aNWjfvj3Wr1+P2NjYCh+TECIZYic/b9++LXH7+/fvGVli4ubNm3j79m2xP0xcdiPF8/Pzw4cPH0rc/vLly0KlEuqOHgXLZUugZdUCKOaarQKHA6P+trDavAGaDRsCyJt6PHHixCq/UGdCQgLc3NyEPZk1e3ZH8/VroNepA1gKCkX2ZykqQr9bFzTfuBZ6HTsAyBtcOGHChCrfA5GbmwtXV1fh7EKt5s1g9ftGGPbtU2jGmxCbDZ02rdF01XLUHjpY+HD+pXRJSUlJgZeXFzp06IB58+aVa1AmIUQ6pFKxKykpiVY3rqYEAgF27NhR5n5///03NDQ0sHLlSgCAbtvW0G3bGtyvX/E96D5yU1LBUlIEx9gI+l06Q6HAjICYmBg4OTnhy5cv0vo15EpAQADc3d3h5eUFVVVVaDZsiMYL5iM7MRHx9wKRnZgIFosFZT096HftAmXtX/Vp0tPTMXnyZDx5It5g6crmw4cPGDduHHx8fKCrqwtO7VqwmD4N9Vyd8T0gAJmxcRDk8qCkrQX9zp2gavRrnCCPx8PChQtx/vx5qcSWnZ2Nv//+G3///TdsbW0xbdo04Qr0hBBmiZz8PHz4EA8ePBDev3btGj5//lxkv9TUVPj5+aHhz2/opHq5fv06Xr16JdK++/fvx5cvX7BmzRoYGxsDADi1a8Nk5PASnxMUFISZM2dW2UHOJbl8+TIcHBywefNmNGjQAACgrKuL2kMGlficV69eYfbs2QgLE2/ad2X19OlTDB48GH/88Qfatm0LAFDUUIdRP9sSn/PlyxcsXLhQpBlekpA/Q6xdu3Zwd3dHnz59qtQMMULkncjJz4MHD4TjOFgsFq5evYqrV68Wu6+FhQWWLVsmmQhJpSFqr09Bly9fxrVr12BjYwMXF5diF5NMT0/H6dOn4ePjI7NlU+TBo0eP0KNHD3Tp0gXOzs6wtbUtstxCdnY2/Pz8cOTIEYSEhMgoUtmLiIjAkCFD0KJFCzg7O2Po0KHF1hPh8/m4d+8eVq5cKRzHyKSHDx9i/PjxsLCwwNSpU2Fvbw+V4i7REUIkiiUQcdBEZmYmuFwuBAIBOnXqhFWrVsHGxqbQPiwWCxwOp1L/8b54kbfeVPPm5Z8qW5aMjAy8fv0alpaWVbIWREBAABwcRBu8XJK6devCzMwMWlpayMnJQVJSEl68eIG0tLSyn1zNGBgYoHHjxtDW1kbt2rXx8uVLvHz5ssoWMqyIGjVqoHnz5tDS0kK3bt0wcuRIqKr+mg3G5/Nx/fp17N69Gw8fPpRZnIaGhpg4cSKcnJwKLa8hC1X9/UqS6FyVj7TOV3k+v0Xu+VFVVRW+Wdy4cSPvejpVsiQFlLfXpziRkZGIjIyUQDRVX3x8POLj4wEATZs2xcuXL2UckfxKSUkRzg6tUaMGhg8vfGmVzWbDxsYGNjY2ePjwIfbs2YMrV64Udyipio2Nxbp167Bjxw44OTlh4sSJVX75DEJkQawBz8Wtos3lcnHp0iVkZ2eje/fuVXalbVK8R48eCT9cmMBiscpVzbOqY7FYNGZERGW9btq1a4d27dohPDwce/fuxenTpxmvG5aWloa9e/fi4MGDGDZsGKZOnYpGjRoxGgMhVZlYyc/ixYsRGhoqLFaXnZ2NUaNG4f379wDyVqM+cuQImjRpIrlIiVyTRK+PqNTV1fHgwQPo6Ogw1qY8oy530eWfK1FYWFhg8+bNmD9/Pv7880/4+PggJSVFyhEWlpOTg5MnT+LkyZPo3bs33N3dYW1tTYk/IRUk1lfFBw8eoG/fvsL7Fy9exPv377F582ZcvHgR+vr6jBQ5JPIhLCwMN27cYKw9Z2dnSnwIYwwNDbFo0SKEhIRg2bJlMDIykkkcN27cwPDhwzFo0CD4+fmBx+PJJA5CqgKxkp/v378Xuqx1/fp1NGvWDAMHDoSFhQVGjRqF0NBQiQVJ5NvOnTsZa0tVVRVubm6MtUdIPk1NTUydOhXBwcHYtm2bzC5DPX36FJMnT0b37t3h6+srXCuPECI6sZIfDocjrBabm5uLkJCQQlOU1dXVq3w1WZLn/fv3uHTpEmPtjRkzBjVr1mSsPUL+S1lZGaNGjcL169dx5MgRdOzYUSZxREREYMGCBbC2tsb27duFla0JIWUTK/lp2rQpTp48iVevXmHv3r1IT09Hr169hNsjIyOh93PVbVK1eXl5MbbEhKKiIqZNm8ZIW4SUhc1mo0+fPvjnn39w4cIF2NnZyWQszvfv37Fp0ya0b98eK1aswNevXxmPgZDKRqzkZ9asWUhMTMTw4cPh5eUFGxsbtGjRQrj92rVraN26tcSCJPIpMjISZ8+eZay9ESNG0CxCIpdat26N/fv34+7du3BycpJJrbOMjAwcOHAAHTt2hKenp8iV1gmpjsSa7dW8eXNcvnwZT548QY0aNdC+fXvhtpSUFIwdO7bQY6Rq2r17N2ODLtlsNjw8PBhpixBxmZubY+PGjZg3bx7+/PNPHDlyBMnJyYzGwOPxcObMGZw5cwY9e/bEtGnT0KlTJ5ohRkgBYhcG0dXVRZ8+fYokOTVq1ICLiwssLS0rHByRX9HR0Thx4gRj7Q0ePBjm5uaMtUdIRRgYGGDBggV4+PAhVq1aJbMey1u3bmHUqFGws7PD+fPnkZubK5M4CJE3YvX8iLqoJFUmrbq8vb0ZLfzm6enJWFuESIq6ujomTZoEFxcXXLhwAbt375bJ+nShoaGYNm0aTE1N4ebmBgcHB6rQT6o1sZKfXr16idSFWp0XoazKEhMT4evry1h7tra2aNy4MWPtESJpSkpKsLe3x7Bhw3Dnzh3s3r2b0Yro+T5//owlS5Zgy5YtmDBhAlxcXKCrq8t4HITImljJz7p164okPzweD1+/fsW///4LXV1dODo6SiRAIn/2798PLpfLWHszZsxgrC1CpInFYqFHjx7o0aMHnj9/jj179uDSpUvg8/mMxpGYmIjNmzdj165dGD16NNzc3FC3bl1GYyBElsRKfuzt7UvcNnnyZIwaNYrq/FRRycnJOHToEGPtdenSBS1btmSsPUKYYmVlhb179+Lz58/Yt28fjh8/znjBQi6Xi0OHDuHIkSMYNGgQpk2bJtKK2IRUdhJfCVFNTQ329vY4fPiwpA9N5MDhw4cZTWyprg+p6kxNTbF27VqEhIRgzpw5Mlm6hc/n499//0W/fv0wevRo3L17FwKBAIqKYn0/rpboXJWPrBdilsr/Fp/Px/fv36VxaCJDGRkZ2L9/P2PtNWnShEomkGpDT08Pc+fOxbRp03DixAl4e3sjKiqK0Rjq1auHHj16oGnTplBXV4eVlRUAMFbItLJSU1OjcyUiFosFNTU1tGrVivHLvQVJNPlJS0vDw4cPcfDgQVrRvQry9fVltIT+yJEjGWuLEHmhpqaG8ePHY9y4cbh06RJ2796NsLAwqbaprKyM9evXY/To0cVuzx/jGR8fj5kzZ+LOnTtSjUfezZ07F56enlBSUiqyLf9cpaenY/ny5Th+/DjT4ckVBwcHrF69GhoaGkW2ybL3R6zkp3HjxiXO9hIIBKhVqxZWrFhRocCIfMnMzMTevXsZa69Zs2ZUJZxUa4qKihgyZAgGDx6MgIAA7NmzRypJh7KyMnx8fNC1a1fhY/ycHKS+eQseNxOc2sbg/KxTZGBgAB8fH3h4eODixYsSj6Uy+P333zF27FjhfQGfj9R375CbkgZlPV1o1M+rR6auro4tW7ZAV1cXu3fvllW4MjVt2jQsXbq00GNpHz8i+3siFGtoQLNBA7AUFGQSm1jJj4eHR7HJj5aWFurWrYvOnTvT9c8q5uTJk4iNjWWsvWnTplFFWkKQ15PQtWtXdO3aFWFhYdi7dy/Onz8vserq69atEyY+vKwsRJ04hdir15FbYGyfpmVjmDiMhE6rllBUVMSOHTvw6dMnqfdIyZtp06YJEx8Bn49v5y8i+pIfsuLihfuo1TVBbfthqNmzOwBgyZIliIiIwOXLl2USs6zY2toWSnzibt/B1zPnkPE5UviYioEBjAf0R63BAxlPglgCukBZyIsXLwBAKjMeMjIy8Pr1a1haWkJNTU3ix5eWnJwcdO3albHxB40aNcL58+fx9u3bSneuZKGyvq5koaqcq6ioKOzfvx9//fVXhcpOmJqaIiAgAGw2G7ysLLxcthKpb98VvzObDYvp7jDs3RMAcOnSJbi5uYnddmXD4XDw+PFjaGlpAQDe/r4F3wOCSty/zsjhMHXKS5Rev36NPn36MBKnvLh27Zpw+Mtn37/w5dTpEvfV69wJjebNBquCl8HK8/kt2+HWpFI4d+4cowMvp0+fLvOZAITIMxMTE6xevRohISGYP38+9PT0xDqOk5OT8G/ty6nTJSc+AMDn48Meb2Qn5o37s7W1hZGRkVjtVkZDhgwRJj5xt26XmvgAhc+npaVltZq80a5dO2Hik/r2XamJDwAkBAYh/jaz48hEuja1aNGich+YxWJh3bp15X4ekS88Hg87d+5krL169eph8ODBjC6dQUhlpauri1mzZmHKlCk4deoUvL298enTJ5Gfnz+pgJ+Tg9ir18rcX5CTg9hr12HiMBKKioqwt7evNuNZRo0aJbwdfdFPpOdEX7oMzUYNhc8PCQmRSmzyptC5uiTa5b7oS5dRs1dPaYVUhEjJz4MHD8p9YBqvUTX4+fnhw4cPjLXn4eEBRUVFSn4IKQcOhwNnZ2c4Ojri8uXL2LNnD549e1bmcwwMDAAAqe/eIyc5RaS2Eh8+golDXtJUnapC5/+u2UlJSAsX7T0x8eGjIs+vDgr+romPHpWy5y9p4R+Q/eMHlBmqcyVS8nPz5k1px0HkkEAgwI4dOxhrz9jYGCNGjGCsPUKqGgUFBQwcOBADBgxAcHAw9uzZU+L7t6qqqvA2vxyVpXkF9lVRURE/2Eom/3flcelclaXg78rPzBL5eTwGK5zTwApSohs3buDVq1eMtTdt2jQoKysz1h4hVRWLxUKnTp1w9OhRXL9+HSNGjCgyAzclJUVYZE61Vi2Rj82p/Wvf5ORkyQRcCSQlJQEAVPR0wS6QOJamup8rQPTXFltVFSpijl0Th1jJz8uXL3Hs2LEStx87doxWdK/kBAIBtm/fzlh7+vr6hWpnEEIkw9LSEtu3b0dQUBDc3Nygrq4OIG88X/6QBo6xEWo0ayrS8Qz79BbelsXK9LISFJQ3wJmtrAyD7l3L2DtPwXOV//zqIDg4WHjbsG/vUvb8xaBbV7AZ/PIrVvKzbdu2Qr/cfz148AB//PGHuDERORAYGIgnT54w1p6bmxs4HA5j7RFS3dSuXRsrVqxASEgIFi5cKCxYmM/EYSRQxixLjYYNoNMmr/joly9fcOPGDanGLE8Knqvaw4ZAgVN674+yvp7wgz8zMxMnTpyQanzy5OTJk8ISDIZ9ekFZX7/U/RU4qqg9bAgToQmJ3fPTtm3bEre3adOm2hW/qmqYHOujpaUFZ2dnxtojpDrT1taGp6cn7t+/j+7duyM+Pq9An3aL5mg4y7PEb98aDRvAcskiYS0WHx8fma7NxLSXL18KZ2txjI1huXQxFDU1i91X1cgQTVetgOLPXrZ///2X0aWBZO3Hjx84d+4cAEBRXR3NVi+HagllERQ1NWG5ZBE4tYwZjFDMCs/p6elQKKUaI5vNZnTlbyJZjx49YrQ7e8KECdAs4U2EECIdqqqqGD16NPh8Pvh8PthsNgy6d4OWlRVir13Hj0ePhctb1OzdG7ptfy03c//+fRw4cECG0cvGvHnz8O+//0JHRwdazZqi7f49iLt1BwlBwchJSYGynh5q9ugOvU4dwP657ldERAT+97//yThy5q1duxYdOnSAmZkZOLVro5XXH0gIuo+423eQnZAARU1N6HfuhJo9u0NBBr3+YiU/pqamCAwMxLhx44rdfu/ePZiYmFQoMCI7TPb6qKurY8KECYy1RwgpLL/IoUAgAIvFgrK2FkxGDofJyOHF7h8cHIyJEyciK0v0WTxVxYcPH+Do6AgfHx/o6+tDgcOBsV0/GNv1K3b/8PBwODk5ITExkeFIZe/Hjx8YPXo0jh07BgsLC7CVlGDQvavI46WkTazkZ8SIEVi/fj3Wr18PDw8P1KhRA0De7AEvLy/cu3cPv/32m0QDJcwICwtj9Dq+s7MzdHV1GWuPEFK8smqz5a+E1KFDB7x8+ZKJkORa/vko7rzlb6tfv36p42Ori9LOlayIlfw4OzvjzZs3OHLkCI4ePYqaNWsCAOLi4sDn8zFkyBC4urpKMk7CECarOauoqFSrtYEIqUxycnKQnJwMLS0tKCkpydUHl7yhc1U+ubm5SEhIgI6OjszKm4iV/LBYLKxfvx5DhgzB1atXhes+9e7dGzY2NrC2tpZokIQZ4eHhuHTpEmPtjRkzRpg4E0LkS05ODj5//gxLS0so/Ry/QopH56p8srOz8eXLF2hqalau5Cdfhw4d0KFDB0nFQmRs586dwu5JaVNUVIS7uzsjbRFCCCEFUYVnAgCIjIzE2bNnGWtvxIgRqF27NmPtEUIIIfko+SEAgN27d4PH4zHSFpvNhoeHByNtEUIIIf9FyQ9BTEwMo9VHBw0aBHNzc8baI4QQQgqi5IfA29sb2dnZjLXn6enJWFuEEELIf1HyU80lJibi6NGjjLVna2sLS0tLxtojhBBC/qvCyU9cXBzevHmDjIwMScRDGLZ//37hAnRMmDFjBmNtEUIIIcURO/m5fv06+vXrh+7du2PYsGF4/vw5gLyehKFDh+L69esSC5JIR0pKCg4fPsxYe926dUPLli0Za48QQggpjljJz82bN+Hp6QkdHR14eHgUqg2jq6sLQ0NDnD59WmJBEuk4fPgwUlJSGGtv5syZjLVFCCGElESs5GfXrl1o27Yt/v77bzg6OhbZ3rJlS7x+/brCwRHpycjIwL59+xhrr3379lQQkxBCiFwQK/l5//49+vfvX+J2fX19JCQkiB0UkT5fX1/8+PGDsfZorA8hhBB5IVbyw+FwSh0kGxUVBW1tbXFjIlKWlZUFb29vxtpr0aIFevTowVh7hBBCSGnESn6sra1x7tw55ObmFtkWHx+PkydPokuXLhUOjkjHyZMnERMTw1h7M2bMoFWOCSGEyA2xkp9Zs2YhJiYGI0aMwIkTJ8BisRAQEIBt27Zh0KBBEAgEtHyBnMrJycGuXbsYa69Ro0awtbVlrD1CCCGkLGIlP+bm5vjrr7+gra2N7du3QyAQ4ODBg/D29kbDhg3x119/oU6dOpKOlUjAuXPnEBUVxVh706dPB5tNtTQJIYTID0Vxn9igQQMcPnwYycnJ+Pz5MwQCAUxMTKCrqyvJ+IgE8fl8eHl5MdaeqakpBg8ezFh7hBBCiCjETn7yaWlpoUWLFpKIhUiZn58fwsPDGWtv+vTpUFSs8EuMEEIIkSixP5l4PB4CAgIQFRWF5OTkQoUOAYDFYtG4HzkiEAiwfft2xtozNjbGiBEjGGuPEEIIEZVYyc+LFy8wY8YMxMTEFEl68lHyI19u3LiBV69eMdbetGnToKyszFh7hBBCiKjESn5WrVqFzMxMYaXnGjVqSDouIkECgQA7duxgrD09PT2MHTuWsfYIIYSQ8hAr+Xn79i1mz56NXr16SToeIgVBQUF4/PgxY+25ubmBw+Ew1h4hhBBSHmLNQTYyMirxcheRP0yO9dHS0oKLiwtj7RFCCCHlJVbyM3nyZJw8eRJpaWmSjodI2OPHjxEYGMhYexMmTICmpiZj7RFCCCHlJdJlr0OHDhV5TF1dHX379sWAAQNgZGQEBQWFQttZLBZcXV0lEiQRH5NjfdTU1DBhwgTG2iOEEELEIVLys3HjxhK3+fr6Fvs4JT+yFxYWhuvXrzPWnrOzMxW5JIQQIvdESn5u3Lgh7TiIFOzcuZOxtlRUVDBlyhTG2iOEEELEJVLyU7t2bWnHQSQsPDwcly5dYqy9MWPGoGbNmoy1RwghhIhLrAHPlpaWuHDhQonb/fz8YGlpKXZQpOK8vLwYm5GnqKgId3d3RtoihBBCKkqsOj9lfajyeDywWCyxAiqvz58/4+DBg3j+/Dnev38Pc3NzXLx4kZG25VVUVBTOnDnDWHvDhw+n3kFCCCGVhthre5WU3KSlpSEgIAA6OjpiB1Ue79+/x507d2BlZQU+n0/1hwDs2rULPB6PkbbYbDYtY0IIIaRSETn58fLywq5duwDkJT7z58/H/Pnzi91XIBBg3LhxkomwDL169UKfPn0AAAsXLkRYWBgj7cqrmJgYnDhxgrH2Bg0ahPr16zPWHiGEEFJRIic/zZs3x9ixYyEQCPDXX3+hc+fOqFevXqF9WCwWOBwOmjZtChsbG0nHWiw2W6xhS1WWt7c3srOzGWvP09OTsbYIIYQQSRA5+enevTu6d+8OAOByuRg9ejSsrKykFhgpv8TERBw9epSx9mxsbGhgOyGEkEpHrDE/69evl3QcckUgECAjI0Pix+VyuYX+lbTdu3dL7djFcXNzk8p5AqR/rqoSOleio3MlOjpXoqNzVT7SOl8CgUDkyVZiD3iuynJycvD69WupHf/Tp08SP2Z6ejp8fHwkftyStGzZEsrKylI9T4B0zlVVRedKdHSuREfnSnR0rspHGudLWVlZpP0o+SmGkpISLCwsJH5cLpeLT58+oV69euBwOBI99p49e5Ceni7RY5Zm3rx5Ur3kJc1zVdXQuRIdnSvR0bkSHZ2r8pHW+QoPDxd5X0p+isFisaCmpia143M4HIkePyMjA4cPH5bY8crSrl079OjRg5FaTpI+V1UZnSvR0bkSHZ0r0dG5Kh9Jn6/yfCbRVKkqwNfXF4mJiYy1N3PmTMaKWBJCCCGSJlLy0759e/j7+wvve3l54d27d1ILqjy4XC78/f3h7++Pr1+/Ii0tTXifyYRAVrKysuDt7c1Yey1atECPHj0Ya48QQgiRNJEue2VkZCAzM1N438vLC6ampmjYsKHUAhNVQkICZs6cWeix/Ps+Pj6wtraWRViMOXnyJGJiYhhrz9PTk3p9CCGEVGoiJT8mJibw9/dHmzZtoKGhASCvxyUpKanU52lra1c0vjLVqVMHb9++lXo78ignJ0dYdZsJDRs2RL9+/RhrjxBCCJEGkZKfKVOmYPHixbhz5w6AvEFFK1aswIoVK0p9nrSnQVd3586dQ1RUFGPteXp6UkVtQgghlZ5Iyc/QoUPRokULhISE4Pv37/Dy8kLfvn3RqFEjacdHSsDn8+Hl5cVYe6amphg8eDBj7RFCCCHSIvJUd3Nzc5ibmwMAzpw5g6FDh6J3795SC4yUzs/Pr1w1DSrKw8MDiopUGYEQQkjlJ9an2c2bNyUdBykHgUCAHTt2MNaekZERRowYwVh7hBBCiDSJ/VWex+Ph/PnzuH37Nr59+wYAqFWrFnr27IlBgwZBQUFBYkGSwm7cuIGXL18y1p67uztUVFQYa48QQgiRJrGSn9TUVEycOBEvXryAuro6TExMAABBQUG4evUq/v77bxw8eFA4M4xIDtO9Pnp6ehg7dixj7RFCCCHSJlbys23bNrx8+RJLly7FqFGjoKSkBCBv6vWpU6ewdu1abNu2DcuWLZNosCQvwXz8+DFj7bm5udFaNYQQQqoUseYtX7t2DWPGjIGjo6Mw8QHyFgQdO3YsxowZgytXrkgsSPILk70+WlpacHFxYaw9QgghhAliJT9JSUkwMzMrcbuZmRmSk5PFDooU7/HjxwgICGCsvQkTJkBTU5Ox9gghhBAmiJX8mJqaljrj6+bNm6hbt67YQZHiMdnro6amhgkTJjDWHiGEEMIUsZKfMWPGIDAwEJMnT0ZAQAC+fPmCL1++4N69e3Bzc0NQUBAcHR0lHWu19vLlS1y/fp2x9pydnaGrq8tYe4QQQghTxBrw7OjoiMTEROzbt6/IZRhFRUV4eHjQDCEJ27lzJ2NtqaiowM3NjbH2CCGEECaJXefH09MTjo6OCA4OxtevXwEAtWvXRseOHanHQMLCw8Nx8eJFxtobM2YMDA0NGWuPEEIIYVKF1ivQ1dXFgAEDJBULKYGXlxcEAgEjbSkqKsLd3Z2RtgghhBBZoCW65VxUVBTOnDnDWHvDhw9H7dq1GWuPEEIIYRolP3Ju9+7d4PF4jLTFZrPh4eHBSFuEEEKIrFDyI8diYmJw/PhxxtobNGgQ6tevz1h7hBBCiCxQ8iPHvL29kZ2dzVh7np6ejLVFCCGEyAolP3IqMTERR48eZaw9GxsbWFpaMtYeIYQQIiuU/MipAwcOgMvlMtbejBkzGGuLEEIIkSWxproLBAKcOHEC//zzD6KiopCSklJkHxaLhVevXlU4wOooJSUFhw4dYqy9rl27olWrVoy1RwghhMiSWMnPpk2bcPjwYVhaWmLw4MHQ0tKSdFzV2uHDh4tNKKVl5syZjLVFCCGEyJpYyc+5c+dgY2OD7du3Szqeai8jIwP79+9nrL127dqhQ4cOjLVHCCGEyJpYY34yMzPRqVMnScdCABw7dgyJiYmMtTdjxgywWCzG2iOEEEJkTazkp2PHjnjx4oWkY6n2srKysHfvXsbaa968OXr27MlYe4QQQog8ECv5WbFiBZ4/f469e/fix48fko6p2jp58iRiYmIYa496fQghhFRHYo356devHwQCAbZv347t27dDRUUFbHbhPIrFYuHx48cSCbI6yM3Nxe7duxlrr2HDhujXrx9j7RFCCCHyQqzkx9bWlnoMJOzcuXOIjIxkrL3p06cXSVgJIYSQ6kCs5GfDhg2SjqNa4/P52LlzJ2PtmZqaYsiQIYy1RwghhMgT+uovB/z8/BAeHs5Yex4eHlBUFCvvJYQQQiq9Cn0CxsTE4NWrV0hNTYVAICiyfejQoRU5fLUgEAgY7fUxMjLCiBEjGGuPEEIIkTdiJT9ZWVlYsGABrl69Cj6fDxaLJUx+Co4FouSnbDdv3kRYWBhj7U2bNg0qKiqMtUcIIYTIG7Eue23duhXXrl3DrFmzcPToUQgEAmzYsAF//vknunXrhsaNG+Pff/+VdKxVTv6MOabo6enB0dGRsfYIIYQQeSRW8nPlyhXY29vDzc0NFhYWAABDQ0N06tQJ3t7e0NTUxLFjxyQaaFUUFBTEaDkANzc3cDgcxtojhBBC5JFYyU9CQgJatGgBAFBVVQUAcLlc4XZbW1tcu3ZNAuFVbTt27GCsLS0tLbi4uDDWHiGEECKvxEp+9PX1hZWdORwOtLS0EBERIdyelpaGrKwsyURYRT158gQBAQGMtTd+/Hhoamoy1h4hhBAir8Qa8NyiRQs8efJEeL9nz544ePAgDAwMwOfzcfjwYbRs2VJSMVZJTPb6qKmpYeLEiYy1RwghhMgzsZKfcePGwd/fH9nZ2VBWVsbMmTPx9OlT/PbbbwCAunXrYsmSJRINtCp5/fo1o5cFnZ2doaury1h7hBBCiDwTK/lp27Yt2rZtK7xvbGyMy5cv4927d2Cz2TA3N6cieqVgcuV2FRUVuLm5MdYeIYQQIu8klqGw2Ww0btxYUoersr58+YLLly8z1t7o0aNhaGjIWHuEEEKIvBN7eYu0tDTs27cPEydOxNChQxEaGgoASEpKwqFDh/D582eJBVmVnD59uthq2NKgqKgId3d3RtoihBBCKguxen5iYmLg5OSEmJgYmJqa4uPHj0hPTwcAaGtr4/jx4/j69SuWLl0q0WAruy9fvuDWrVuMtTd8+HDUqVOHsfYIIYSQykCs5GfTpk1IT0/HuXPnoKuri06dOhXa3qdPH9y+fVsS8VUp+/fvB5/PZ6QtNpsNDw8PRtoihBBCKhOxLnsFBgZi3LhxsLCwKLSWVz4TExNER0dXOLiqJDY2Fv/88w9j7Q0cOBD169dnrD1CCCGkshAr+cnMzCx16nT+JTDyi7e3N7Kzsxlrz9PTk7G2CCGEkMpErOSnfv36ePjwYYnbr1+/jiZNmogdVFWTmJgIHx8fxtqzsbGh808IIYSUQKzkx8XFBX5+fti3bx/S0tIA5K1Q/vnzZ8yfPx/Pnj2Dq6urJOOs1A4cOFBo7TNpmzFjBmNtEUIIIZWNWAOehwwZgm/fvmH79u34448/AACTJk2CQCAAm83G7Nmz0adPH0nGWWmlpKTg0KFDjLXXtWtXtGrVirH2CCGEkMpG7CKH06ZNw5AhQ3D16lV8/vwZfD4fdevWhY2NDUxMTCQZY6V25MgRpKSkMNYe9foQQgghpatQhedatWrR5a1SZGRkYN++fYy1165dO3Ts2JGx9gghhJDKqMLLW/D5fKSmphZbtVhbW7uih6/Ujh07hsTERMbamzFjRrGlBwghhBDyi1jJT05ODvbv34/Tp08jJiamxMJ9r1+/rlBwlVlWVhajC5g2b94cPXv2ZKw9QgghpLISK/lZvnw5zp07BysrK/Tp0weampqSjqvSO3XqFGJiYhhrz9PTk3p9CCGEEBGIlfz4+/tjyJAh2LBhg6TjqRJyc3Oxa9cuxtpr0KAB+vfvz1h7hBBCSGUmVvLD4XBgZWUl6ViqjHPnziEyMlJ438jICM2bN4eenh6UlZWRnZ2NhIQEvHjxQiK9Q56enmCzxSrZRAghhFQ7YiU/AwYMwO3btzFmzBhJx1Pp8fl87Nq1C926dYOjoyPat2+PmjVrlrh/XFwcQkJCcOzYMdy7d6/YgeOlMTU1xZAhQyoaNiGEEFJtiJX8zJ8/H4sXL8aUKVMwfPhwGBkZQUFBoch+TZs2rXCAlc3Lly/x559/wszMTKT9a9asiYEDB2LgwIGIiIjAvn374OvrK/Lq7+7u7lBUrPCkPUIIIaTaEOtTMzs7GwKBAHfv3sXdu3eLbBcIBGCxWNVutpdAIEDz5s0LPZabloa08A9I+/ARmdEx4Ofmgq2oCFVjI2jUN4eGRX0oamgAAMzMzLB+/XoMGzYMc+bMQURERKntGRkZYeTIkVL7fQghhJCqSKzkZ/Hixbh+/Trs7OxgZWVFs71+KjjbKul5KKL9/JEY8hAorReHzYZu+3YwtusHbasWAID27dvj2rVrWLBgAU6fPl3iU6dNmwYVFRWJxU8IIYRUB2IlPwEBAXBycsLixYslHU+lx42ORviO3Uh59Uq0J/D5SLz/AIn3H6BGkyawmOEBjrEROBwOduzYAQ0NDRw5cqTYp5Y2logQQgghxRNripCGhgZMTU0lHUulF3PlGp7NnCt64vMfKa9e4dnMOYi5ck342Lp16zB8+PBi958zZw5CQ0PFaosQQgiprsRKfkaNGoWLFy+Cx+NJOp5KK+rUaXzYvRf8rKwKHYeflYUPu/ci6tSvy10bN24sdgA1l8uFi4sLvn79WqE2CSGEkOpErMte9evXx40bNzBs2DAMGzasxNleNjY2FQ6wMoi5cg2Rvn9J9JiRvn9BqUYNGNn2BYfDwdatWzF8+PAis8Di4uLg4uKCs2fP0tgrQgghRARiJT+zZ88W3t64cWOx+1SX2V7c6GhEHDwklWNHHDwErRbNwTE2Qvv27eHk5AQfH58i+71+/RrTpk3D4cOHado7IYQQUgaxPimL+wCursJ37K7wpa6S8LOyEL5zF5qvWwMAmDx5Mo4ePVpsIcRbt25h2bJlWLduHa3xRQghhJRCrOSnffv2ko5DbB8+fMD//vc/PH36FOrq6hgyZAhmzZoFZWVlqbed9DxU7MHNokp5+QpJz0OhbdUC5ubm6NKlC+7du1fsvj4+PjAzM4Obm5tUYyKEEEIqs0q9IFRycjJcXFyQk5ODnTt3Yvbs2Th58iRjC65G+/kz0k7M5SvC205OTqXuu3r1avj7MxMXIYQQUhlV6gEix48fR3p6Ory8vKCtrQ0A4PF4WLVqFaZMmQJDQ0OptZ2blpZXwJABCQ9CkJuWBkUNDbRr167UfQUCAaZPn44zZ86gRYsWjMRHCCGEVCaVuufn7t276NixozDxAYD+/fuDz+cjMDBQqm2nhX8ovXKzJPH5SPvwEQBgaGhYZlJHU+AJIYQ5HA4Hbdq0AYfDkXUolYKamhpatWol0xUKKnXy8/HjR5ibmxd6rEaNGjAwMMDHjx+l2nZ+MsKUtPAPwtui9OjkT4FPTU2VZliEEFLt5U8yockmomOz2cWWyGFKpb7slZKSgho1ahR5XEtLC8nJyWIfVyAQICMjo8jjCgoKwkw1MzpG7OOLIzMmVnhbV1dXpOe8fv0abm5u8Pb2rnRT4LlcbqF/ScnoXImOzpXo6FyVTEVFpdAHd3biD2TGxkLNpI5woWoAuHDhAg4cOCCLEOXGxIkTMXjwYOH93LQ0ZER9gaqhIZR1dYSP83g8ZFVw5nT+ouqiqFyfiAzJyckptkaRvr6+cFkPfm4uozHxc3KEt8vTVXj37l3MmTMHU6dOrZTfSj59+iTrECoNOleio3MlOjpXhWlpacHCwgIAkJuejg+79+J70H2AzwdLSQlGNn1Qb4Ir2IqKGDRoELZs2YL379/LOGrZsLCwECY+/NxcfDp0BLFXr4OfnQ2w2dDr2AEW7lOhqKEOBQUFfPv2rUIdFwBEnuktUvLj5eVV7gBYLBY8PDzK/bzyqFGjRrGXdZKTk6GlpSX2cZWUlIQv7oIKZvpshntS2EpKwtvlzY4vX76MVq1aYfz48ZIOS2q4XC4+ffqEevXq0XX0MtC5Eh2dK9HRufolOjoawcHBuH//PhwdHYWfD+E7dyMh+L5wP0FODqIvXQZbVRX1nPNm5jo7O2PZsmUyiVvWnJ2dhbej/j6B6It+vzby+UgIDIKAx4Plot8AAGZmZhXq/QkPDxd5X7GTn/xehP8W3GOxWMKuJ2knP+bm5kXG9qSmpiI+Pr7IWKDyYLFYUFNTK3UfVWMjsY8vDlWjX4OcExMTy/389evXo379+ujXr58kw5I6DodT5v8FyUPnSnR0rkRXHc/V9+/fERQUhMDAQAQEBAh7vxQUFPDHH38AALLi45Fw/0Gxz4/xv4K6YxzAVlJCz549GYpa/vTo0QNAXq9PdIGSLQUlPghBZlw8VGsaQEFBoUKvtfJc3RAp+Xnz5k2h+7GxsXBzc0ODBg3g4uIiXHTz48ePOHLkCD58+ABvb+9yhCyebt26Ye/evYXG/vj7+4PNZqNz585SbVujvvjJlVjtWdQX3hZnJXeaAk8IIcVLTk7GgwcPEBAQgKCgoBKXZlJTUxOOn+R+/QYUU20fAHjpGchO/AFVw5rQKDAGqLrJX28y58cP8NLTi99JIAD361eo1jRgMDIxx/ysWrUKpqam2Lx5c6HHW7RogS1btmDGjBlYvXo1du3aJZEgSzJ69GgcPXoUHh4emDJlCmJjY7Fp0yaMHj1aqjV+gJ/JCJvNzHR3NluYbMXGxiI2NraMJxQvfwr8xYsXUbt2bUlGSAghlQaXy8XDhw+FPTuhoaFFFo0uTnp6OnJycqCkpAS1unVL/AxQrFEDKvp6AFDhMSyVWXJyMmrWrAllXV0oadVATnJK0Z3YbKib1mU8NrGmut+/fx8dOnQocXuHDh0QHBwsdlCi0tLSwpEjR6CgoAAPDw9s2bIFI0aMwMKFC6XetqKGBnTbl15wUFL0rNsLZxA8fFixwoo0BZ4QUt1kZ2fjwYMH2Lp1K4YPHw5LS0uMGTMGXl5eePbsmUiJDwDw+XzcvHkTAKCsqwOD7l2L3a/WoAFg/Rwjev36dcn8EpXQtWvXAAAsBQUYDxpY7D4G3bpCWcQZzJIkVs+PiooKnj17hrFjxxa7/enTp4wVL6pfvz4OHz7MSFv/ZWzXD4klXPOVJKP+tsLbvr6+FT4erQJPCKnKeDweXrx4gcDAQAQGBiIkJERiU/aPHDkCW9u89+T606ZAgcNB3PWb4GdnQ0FdHbUGDUCdEfYA8pKl0NBQWFtbS6TtyubFixfg8/lgs9moM3wYwOfj2/mLyE1LA1tZGTV79US9CS4yiU2sT75Bgwbh6NGjqFGjBpycnFC3bl6XVWRkJI4ePYqLFy9i3LhxEg1UHmlbtUCNJk2kurhpjaZNoG2VN0bn48ePCAgIkMhxaRV4QkhVIRAI8PbtW2GyExwcjJSUYi6xSMCdO3dw7tw5DB06FAoqKqg/ZTLqOTsh63sCVI0MC83MZbPZ2L17t1TiqGxYbDZMHEaitv1QZMbGQUVPFwoynEUoVvIzb948/PjxA76+vjh27BjY7LyrZ3w+HwKBAAMGDMC8efMkGqi8spjhjmcz54JfweJMxWGrqMDC89eMuf379xeZXVcRtAo8IaQyEggE+PTpkzDZCQoKwvfv3xlpu06dOggKCkKrVq2Edd8UOByomdRhpP3Kjq2kBLU6sh9zKlbyo6ysjN9//x0TJ07EnTt38O3bNwBA7dq10a1bNzRu3FiiQcozjrExzCaOx4fdeyV+bLNJ48H5OaX+wYMHOHr0qMTbWL16NerWrVvppsATQqqXb9++CaefBwYGMrZ2oYGBATp37ozOnTujS5cuwisdBeV/8WexWMLOAFIygUCAnJwcsNlsmQ29qFCrjRs3rlaJTkGJiYlQV1eHiooKjGz7IiclBZG+f0ns+KbjHGFk0xdA3syEuXPnSrTXJx9NgSeEyKOEhIRCyY6012vMp6WlhU6dOgkTngYNGpQ5NCAzMxOvX7+GpaVltauJJA4ulys8X5Uy+Xn27BkePHiAhIQEjB07FvXq1QOXy8XHjx9Rr149qKurSypOufL+/Xs4OzujXbt22LFjBwDAZORwKNWogYiDhyp0CYytogKzSeOFiQ8ALFiwABERERWOuyQ0BZ4QImupqakIDg4WJjsl1dqRNDU1NVhbW6NLly7o3LkzmjRpItMFNwkzxEp+srOzMWfOHNy4cUPY1dezZ0/Uq1cPbDYbEyZMgKurK6ZNmybpeGUuICAAkydPRkpKCiIjI6GhoYF169YBAIxs+0KrRXOE79yFlJflHwRdo2kTWHh6CC91AcDixYtx+vRpicVfkvwp8GfPnhUWpiKEEGkpWGsnMDAQoaGh4PF4Um9XWVkZbdq0EV7GsrKyEnk9KFJ1iJX8bN++Hbdv38bKlSthbW1daLyIiooK+vXrhxs3blS55Of48eNYsGABcgssanrkyBGkpaVh48aN4HA44Bgbofm6NUh6HoqYy1eQ8CCk1EKILAUF6LZvB6P+tsJZXUDeG8OCBQsYSXzy0RR4Qoi0ZGdn49mzZ8Jk5/Hjx8jOzpZ6u2w2G1ZWVsKenbZt21b7tcqImMnPpUuXMHr0aDg4OODHjx9FttevXx/+/v4VDk6epKenY/PmzYUSn3ynT5/GkydPsHXrVrRv3x5A3jR4basWyE1LQ9qHj0gL/4DMmFjwc3LAVlKCqpEhNCzqQ6O+ubCAYb6QkBDMmTNHqpe6SkJT4ElVpqqqimbNmlFyLwI2mw1NTU2xB/DyeDy8fPlSmOw8ePAAGRkZEo6yeE2aNBGO2bG2thYuf0RIPrHeARISEtCoUaMStysoKCAzM1PsoOSRuro6fHx8MHToUKQXs0ZJREQEhg8fDicnJ7i5uQnXO1PU0BAmQmWJiIjAvn374OvrK3LFUWmgKfCkqmKz2YUKsPL5fHz//h2fPn0Ci8USztZhs9lQUFAo8z6bzRY+VtL9/Mf+e1/eqaqqomHDhiLvLxAI8O7du0K1dpha2qF+/frCZKdTp07QlUHFYFK5iJX8GBsblzry/smTJ8VOB6zsmjRpgj179sDV1bXY5ITP58PHxwdHjx5Fly5d4OTkhHbt2pW6zlhsbCwePnwIX19fBAQESGVGlzhoCjypLLhcLqKjoxEdHY1v377h27dviI6Ohq2tbZEVtXPT0sHPzYWythaAvGSoZs2a+PbtG0aPHs3osi9lJUfluV/RHw0NDbi7u5dr9q5AIEBkZCQCAgKEtXbi4+OleMZ+qV27tnDMTqdOnWBsbMxIu6TqECv5GThwIA4dOgQbGxvUq1cPwK+l5E+ePInLly9j7ty5EgtSnvTu3Rtr1qzBkiVLStxHIBDg3r17uHfvHgDA0NAQLVq0gK6uLlRUVJCVlYXExESEhoaKvUiptOVPgT99+jSsrKxkHQ6ppjIzMwslNv/999u3b8Veep8xY0ahxCfu1m1EX/RDWvgHAICyvj6M+tmg1kA7KHA4aNmyJby9veHo6MjYFxAej8fIAN+yqKmp4fTp04USn8yYWCQ+fAReRgY4JnWg265tocrFJ0+exJYtW/DlyxdGYtTX1xf27HTu3BmmpqaVoveMyC+xkp+pU6fi+fPncHJygrm5OVgsFtavX4/k5GTExMSge/fucHV1lXCo8sPV1RURERE4cOCASPvHxsYKF3irTLhcLlxdXWkKPJGKrKwsxMTEFElmCiY4CQkJ5T6ulpYWZsyYAQAQ8Pl4t3U7vt8rvCxM9vfviPT9C9/v3kOztauhVKMGunfvji5dugi/tFQXa9asEdb4yk5Kxofde5EY8hAokAQqaWmh7lgHGPXLW9PK3t4e+/fvl1pMWlpa6NixozDZadiwISU7RKLErvB84MABnD9/HleuXAGfz0d2djYaNWqEWbNmYciQIVX+hbp8+XJERkbi6tWrsg5FqmgKPBFHdnZ2kcTmvwmOtJYjGDlypHA2T8yVa0USn4IyIqPwcd8BNJo3BwDg4uJSrZIfAwMD2NvnLcLJ43IRtnQ5uFFFe3NykpPxYc8+8LNzUGvwQCgqKmLixIkS6+HncDiwtrYWJjvNmjWjWjtEqsSe8sBisTBkyBAMGTJEkvFUGgoKCti1axfs7e3x4sULWYcjVTQFnhSUk5ODmJiYEntrvn37xtjYj+KMHDlSeDv64qUy908Iuo+shASo6OnBxsYGOjo6xV5Kq4rGjBkjrHETfelysYlPQZ99/0LNXj2hqKGOIUOGYPXq1WINai5Ya6dz585o2bIl1dohjBLrk6x3795YvHgxevfuXez2W7du4X//+x9u3LhRoeDknZqaGg4fPoyBAwciOjpa1uFIFU2Bl19KSkowMTGBUoExGeLKyclBbGxsib01+YmNvAzML07+ZAtudAy4X8pe/0nA4yHp6TMY9ukNBQUF1KpVq9okP337/qokH3Ol7F5sflYW4m7fQa2BduBwOOjatSsuXrxY5vPya+3kJzvt2rWjWjtEpsRKfr5+/VpqvYaMjAzhYqdVnZGRUalT4KsSmgIvn5SUlFCzZs0y98vNzUVsbGyxSU3+T2xsrFwnNqLITwLLs8wML/PXvpJIIisLHR0dAEBOSiqy4kTrrUv/8Gumr56eXon7WVpaCpOdDh06UK0dIlcqdNmrJC9evKhWL/SypsBXJTQFXrYyMjJEXjjx8+fP+OOPP/D+/XtER0cjLi6uyr8+ASApKQkcDgeqRoZgq6iIlASp1zMV3q4uvT4AhK8HtpLoHwWsAvsWLPpqZmYmrKLcqVOnUhMjQmRN5Ff8kSNH4OPjAyAv8Vm3bh22bdtWZL+0tDSkpKRg4MCBkouyEhBlCnxVQFPgZSMrKwspKSkwMDAQPpb88hVir1xDRlQUwGJBvZ4pjPrZQPNnYTpTU1NMmjQJ9vb2SEtLk1XojLt16xbGjh0LBVVVGHTrithr10vdn1O7NrSaNQUAfPz4EZGRkUyEKRe+fv2K+vXrQ4HDgUbDBkh7977M52i3/PV3Hxsbiz59+mD+/Plo1qyZNEMlRKJETn709PTQoEEDAHl/MIaGhsUW71NTU0PTpk0xduxYyUVZSZR3CnxlRVPgmfX582d8//4dbdq0AQBkxsXj7cbfhTVr8qV/+Ii4G7dQo4klGv02F8o6OmjatCm2bNmCKVOmyCJ0mfDx8RG+/9QZNQKJISHISU4pfmc2G/XGOwvvHj16tNJf9iuPs2fPolu3bgCAWgPt8G7r9lL3V9bXg5513hI+sbGxuHPnDnJychAQEABHR0dMnToVtWrVknrchFQUSyDGX/q4cePg7u6Ojh07SiMmmcqfudW8eXOxns/j8TBp0qQqPwUeyLumL60p8BkZGXj9+jUsLS1FvsxTFfn7++PAgQP4559/AADZP34g9LdFZY7P4NSujeYb10Lp5/9Nt27d8OHDh1KfU5X8888/wvenjKgovN+xq0ivhrK+HswnT4Jeh7wP8+TkZHTq1AlJSUlMhyszqqqqePTokXDsz9vNW/H9XmCx+7KVldFk+RJoNc/r4dm2bRs2b95caB8lJSWMHDkSHh4ewgK41QG9X5WPtM5XeT6/xVqx7ujRo1Uy8ZGE/Cnw4iZPlUn+FPjiFnslFZOdnY2VK1di4sSJGDFihPDxyGN/izQwlfv1K76cOi28P27cOKnEKa88PT2FMzDVTExg9fsGtNi8EXWdxsLEYSQslyxC2317hIlPTk4Opk6dWq0SHyCvgvbOnTuF9xvOmQWzyROgamT0ayc2G7odrNFi03ph4vP9+3ccOXKkyPFycnLw119/oWvXrpg+fTrevHkj9d+BEHGI1fOTLzw8HFFRUSXWeRg6dKi4h5aZivb85IuJiakWU+ABwNnZWeJT4KvzN6mvX79i6tSpePLkCdTU1BAaGgoOh4PctHQ8nDBZ5FlMipoaaHtwHxRUVJCcnAwrKyvk5ORIOXr5UbduXRw9ehQWFhal7peRkYEtW7bgyZMn4PP54PF4EAgE4PP5Ur0vTzZu3AgnJ6dCj6V/+gxeJheqRsbCtdCAvN7t1atXi3x5v1+/fpgxY0aVHiNYnd+vxCEPPT9izfaKjIzE/PnzERoaWuIfMYvFqpTJj6TQFHgijuvXr2PmzJnCHghTU1NhPZTEh4/KNX07NzUNSU+fQ69De2hpacHQ0JCxtZiYpqWlBWNjY9SqVQvGxsbC2zExMahRowb09fXBZhff0a2mpoZly5YxGq9AIBAmRDweD3w+v8z7+Y+V5355fh48eIC2bdsKKysXnAFXkIKCAlatWoXRo0fD3d0d79+/LzWZ8/f3h7+/P7p37w5PT0906NCBaoURmRMr+Vm+fDnevXuHxYsXo23bttVqWnt50BR4Iqrc3Fz8/vvv8PLyKvR4wfFUOSklDNotRU7Kr17Zyro8iaamJmrVqiVMbAr+m39bXV1dpGNlZmYiKioKJiYmUFVVlXLkJWOxWGCxWGCz2XJRNT02NhapqamFlpQQCARgsVjCf//L0tISt27dwuHDh3Hw4EFERUWV2rN4584d3LlzB+3atRMuPEtJEJEVsf7qnjx5gilTplS7cQTioCnwpCzR0dHw8PDAgwcPimwrWExUQYwPawXVX1V0SytMKisaGhqlJjXGxsYSTdr4fD5SUlKq/JeR8hAIBPj48WORcZxcLlekSxOurq7o1q0bVqxYAW1tbVy+fBlcLrfE/R8+fIhx48ahWbNm8PT0hJ2dXYm9coRIi1jJj46OTqX9FikLNAWelOTu3buYPn16iauXf/36FXw+H2w2GzqtWwJsNiDiBzdLSQnaVnnXvrOzsxEXFyepsEWipqZWpMfmv4kO9RrL3uPHj9G6desKHcPc3Bz79u3D6tWrsXDhQiQmJuLQoUNIKaW3MiwsDFOmTIGFhQWmT5+OoUOHVqvq2kS2xEp+Ro8ejfPnz8PR0ZFW3hXR8uXLERERUeXXO6NV4EXD4/Gwbds2/PHHH6WOl/jx4wdu3ryJPn36QMXAALptWyMx5JFIbeh37gQlrbyBqhcvXiz123h5cTicMi9F1ahRgy5ryLmvX79CX18fKioqFT4Wh8PB+vXrcfz4cXz48AF37tzByZMnsW/fvhKTeyBv4sysWbOwZcsWuLu7Y9SoUTK9JEmqB5GSn//WrDEzMwOfz8eQIUMwfPhwGBkZFZsE2djYSCbKKkBBQQFbt26Fvb19la+3QqvAly4+Ph4eHh4IDCy+nsp/HTlyBH369AEAmIwZjaTQMPAzM0t9joK6OkxGDS90DFGpqqqWmtTUqlULWlpalNhUcjweD1FRUejQoYNEjzt69Gg0a9YMS5YswcKFCzFx4kT89ddf2LNnT6mzX6OiorBo0SL88ccfmDJlCpycnEQey0VIeYk01b1x48bCgW8ACt0u8cAsFl6/fi2ZKBkkqanuxcnIyEBAQAAWLVqEmJgYiR9f3lRkCnxVnToaFBQEDw+Pcl2CYrFYuHXrlrDCenLYS7xetxG8EmYRKmnVgOXSxdBsmLf/s2fPMGDAAAB5SXidOnVQu3btEi9F6ejoVNnEpqq+rsQREhKC1q1bl/gFpaLnKiUlBcuXL0efPn0wcOBAZGdn4/Tp0/Dy8sKnT5/KfL6Ojg4mTpyI8ePHQ1tbu9ztM4leV+UjD1PdRUp+QkJCxAqkffv2Yj1PlqSd/Lx+/RosFgujR4+u8lPgAWDFihViTYGvam8mfD4fXl5e+P3338UabNuwYUOcO3cOWj8vY+WmpSH2xi3EXrkK7tdvAIsFNZM6MOpnC4Oe3aH485x9//4dgwYNKrRelYWFBXbt2lUt12Kqaq8rcUVGRoLFYsHExKTEfSRxrgQCAfbt24f4+HgsWLAASkpKyM3NxcWLF7Fz506RiiBqaGjA1dUVkydPhr6+vlhxSBu9rsqn0iQ/1QkTyY+lpSWCg4OrxRR4FouFAwcOlHsKfFV6M0lMTMSMGTNw69atCh2nZcuWOHLkSJEPAAGPBwBg/efSc1paGpycnPDw4cMix1JWVsaiRYswadKkajXTpiq9rsSVk5ODp0+flvnlVJLnKiQkBAcPHsSKFSuEa3/x+Xxcv34dO3bswNOnT8s8hqqqKsaOHYupU6fK3YQKel2VjzwkP9XnXU/O5E+Br+ryp8A/f/5c1qHIxMOHD9G3b98KJz5A3uUrOzs7nDx5EpkFxvywFBQKJT5cLhfR0dGIiIjAli1b0KlTpyLHys7OxqpVq+Dk5MT4LDAiW48fP0bbtm0ZbbN9+/ZYu3Yt/ve//+Hu3bsAADabDRsbG1y4cAF///13mUsmZWZm4s8//0Tnzp0xb948REREMBE6qaLE6vlxdnYudTuLxYKKigqMjIxgbW0NW1vbSjPwlamen/xsd8WKFVV+CjwA1KxZs1xT4Cv7NymBQABvb2+sW7cOvJ89M5Kko6ODUaNGoVu3btDR0YFAIEBiYiI+ffqEAQMGwNDQEAKBAEFBQejQoQP27t2LTZs2FbsOm56eHrZu3SocVF2VVfbXVUVFRERAVVUVxsbGZe4rjXPF4/Hwxx9/gM1mY+bMmUV6HR8+fIgdO3bg5s2bZR6LzWZj8ODBmD59OiwtLSUSn7iq++uqvCptz49AIEBMTAxCQkLw9u1bpKWlIS0tDW/fvkVISAhiYmKQkJCAK1euYO7cuRg+fDgSExPFaarKW758ebWYFZc/BT41NVXWoUjdjx8/MH78eKxZs0YqiU9+G97e3nB0dISdnR0GDBiAoKAgODs7w9DQEEDelxArKyuEhYXBw8MD//77b7ErbSckJMDFxQVLly6V6HR4Il8yMzORkJAgUuIjLQoKCpg7dy6srKwwY8aMIp8L7dq1w9GjR3HlyhUMHDiw1IH3fD4f586dQ58+fTB+/HiRLp0Rkk+s5GfmzJlITk7Ghg0bEBQUhDNnzuDMmTMICgrC+vXrkZycjGXLluH+/ftYt24dwsPDsXXrVknHXiXQKvBVy9OnT9GvXz9cu3aNsTZ1dHSwYsUKzJkzp0gPq4aGBjQ1NfH161e0bNkSV69ehYODQ7HHOXToEAYOHEgrcVdRT58+RZs2bWQdBgCgV69eWLRoERYuXIjHjx8X2d6sWTN4e3vj9u3bGDlyZJn15K5evYqBAwdi9OjRCAoKkruFY4n8ESv52bRpE+zt7TF06NBCL0oFBQUMGzYMw4YNw/r168FisWBvb4/hw4fj9u3bkoq5ylFTU8Phw4dl+o2MKbdu3cKyZcuq3JuTQCDAwYMHMWzYMEYXD23Tpg3+/fffUj/UzM3N8fXrV2RnZ0NdXR1bt27F7t27i62u/ObNG9jZ2eHQoUNV7v+oOgsPD4eFhYVclTCoXbs2vLy8cPHiRRw8eLDY15uFhQX++OMPBAYGwsXFpcxijPfu3cPIkSMxdOhQXL9+nV7DpERiJT9v375FnTp1Stxep06dQt8emzZtiuTk5BL3J79Wga8ORb18fHywf/9+WYchMSkpKXBzc8Py5ctLXdhR0qZMmYLTp0+LlDS3bdsWjx79qgw9ZMgQXLt2rdgZP1lZWVi6dClcXFzw/ft3icZMmJeRkYG0tDQYGBjIOpQilJWVsWLFCujr62PevHklXhY3MTHBunXrEBwcjKlTp5Y5TuTRo0dwcXGBra0tLly4ILXLz6TyEiv5MTAwgL+/f7HTtPl8Pi5fvlxoOm5SUpKwPgkpWZMmTbB3795qMfV49erV8Pf3l3UYFRYWFob+/fvDz8+PsTa1tLTw559/Yvny5SKvhcRms9G4cWO8evVK+FidOnVw6tQpzJs3r9jLCjdu3ECfPn2o17aSe/78udwvNjxkyBBMmzYNc+bMKbU4rqGhIZYtW4YHDx5g9uzZZX6uvHz5ElOnTkXPnj1x8uRJRr+cEPkm1qfs+PHj8fDhQ4wZMwb//PMPQkJCEBISglOnTmH06NF4/PgxJkyYINzf398fLVq0kFjQVVmvXr1oCnwlIBAI4OPjg8GDB4tUrVZSWrZsCX9/f9ja2pb7ubq6umCz2YV6cxQVFTF79mycOXOm2IJ38fHxcHR0xKpVq5CVlVWh2AnzXr9+jUaNGsnV5a6SWFhYYPv27Th06BBOnTpV6r66urqYN28eHjx4gCVLlpRZ/PDDhw+YPXs2unTpgsOHDxcqFUGqJ7GSH0dHRyxfvhyfP38Wdo+7uLhg2bJliIyMxNKlS+Ho6Aggr57IokWLsGTJEokGXpW5urpi0qRJsg5D6vJXgf/69ausQymXtLQ0TJ8+HYsWLWI0IZgwYQLOnDmDunXrin2Mxo0b4/3790V6bdu2bYurV6/C3t6+2Oft27cPgwYNwvv378VumzArJSUFPB4Purq6sg5FZGpqati4cSMyMzOxdOnSMpMUTU1NuLu74/79+/jf//4nLKBYki9fvmDJkiXo2LEj9u7dWy2q7JPiVajCc05ODsLCwvDt2zcAQK1atdCsWTORu+LlEdN1fkrC4/EwadKkIovKVkWWlpZFVoGX17oZr1+/xpQpUxhdnFZDQwObN2/GoEGDit1e3nOVm5uLx48fw9rautjtp0+fxuLFi5GWllZkm6qqKlauXAknJ6dK0ZvwX/L6upKG4ODgMgsHlkbW5yo0NBQ7d+7E0qVLYWpqKtJzsrOzcfbsWezcuVOkIoja2tqYNGkSXF1doaOjI3assj5XlU2lrfOTT0lJCa1atcKAAQMwYMAAtGrVqlInPvKEpsDLnxMnTmDgwIGMJj5NmzaFv79/iYmPOBQVFWFqaorw8PBitw8fPhxXr15F69ati2zLzMzEwoULMWnSJKrdJcfCwsLQtGlTWYdRIS1atMDvv/+OLVu24MqVKyI9R1lZGQ4ODrhz5w52795dZvHDpKQkbN68GdbW1li7di3i4+MlETqpBERKfh4+fFhofaD8+2X9kIqhKfDygcvlYvbs2ZgzZw6jYwWcnJxw/vx5mJmZSfzYRkZGyMzMLHEWpqmpKc6cOYNZs2YVOwDf398fffv2RUBAgMRjIxWTmJgIBQWFYksZVDba2tr4448/8OHDB6xfv17kL0gKCgrCGY2HDh1Cq1atSt0/PT0du3fvRocOHbB06dJKdym+smGz2VBVVZVpDCJd9mrcuDFYLBaeP38OZWVl4f2SCAQCsFisUkftyyt5uexV0KtXrzB06NBqcX06fxV4eelGfv/+PaZMmYK3b98y1mb+uIeSxt/8V0XOVWBgIDp16lTq3/ODBw8wffp04eXtglgsFtzd3TFv3jwoKyuXq21ZkJfXlbQIBAIEBwcXu55becnbuQoODsaRI0ewatUqYRVzUQkEAgQGBmLHjh0IDAwsc39FRUUMHz4cHh4eqF+/fpn7y9u5qiz4fL5EZzeX5/NbpAW3fHx8AED45pZ/nzAjfwq8i4tLlV8FfvXq1ahbty66desm61Bw5swZLFiwABkZGYy12ahRI+zbtw8WFhaMtNe6dWs8efKk1CKJ1tbWuHbtGhYuXIgLFy4U2iYQCLBr1y7cu3cPXl5eIn1QEOkJDQ2V+2nt4urYsSPMzc2FY846d+4s8nNZLBa6dOmCLl264PHjx9ixYweuX79e4v65ubk4ceIETp06hYEDB8LT0xNNmjSRxK9BCpBlWZcKDXiuiuSx5yff4cOHq8WsOQ6Hg2PHjkFRUVEm36QyMzOxfPlyHDt2jNF2R40ahXXr1oHD4ZTreRV9XUVGRgJAmbPIBAIBTp48iaVLlxabEKqpqWHNmjVwcHCQ28HQVfkbenx8PJKSktCgQQOJHE9ez1Vubi62bNkCdXV1uLu7i/0B+vLlS3h5eeHChQsiXW7v27cvPD09i/2iIK/nSh6lvn2H1PfvwaldG9pWLcCSUc9PhVuNi4vDmzdvGP12XF1VpynwU6ZMkcngw4iICAwePJjRxEdVVRVbt27Ftm3byp34SELdunURHx9f5qKmLBYLDg4OuHLlSrG9CxkZGZg7dy6mTp2KpKQkKUVLiiMQCBAeHi6xxEeeKSoqYsGCBWjYsCFmzpyJHz9+iHWcpk2bYs+ePbhz5w4cHByKrIv3X9euXcPgwYMxatQoBAQEFEqYOBwOWrVqJfNxLPIo/zzxsrLwPSgYynp6MLK1gYa5GRJDHiInOUUmcYmd/Fy/fh39+vVD9+7dMWzYMGGxusTEROG6KkTyqssq8PHx8Vi9ejWjq8BfuHAB/fr1w8uXLxlrs379+rh48WKJi40yJf/ylyjMzc1x7tw5TJ8+vdgenosXL6Jv3764f/++pMMkJXjy5EmZg3qrGhsbG8yfPx+//fZbhYql1q9fH1u3bkVgYCBcXV3LXD8sMDAQDg4OOHr0qPAxFosFNptdLarziyI7Oxu3bt3C1atXhe8RbEVF6HfqCBV9PbCVlKCkpQW9DtZQ0pLNwHyx/qdu3rwJT09P6OjowMPDo1AGrKurC0NDQ5w+fVpiQZJfqtMU+M+fP2PWrFlSnwKfv5bV1KlTi61tIy3Dhg2Dn59fmdNxmcBisdC8eXOEhoaKtL+ysjIWLVqE48ePw8jIqMj2b9++YeTIkdi0aRMtKSBl0dHR0NHRqZa9DnXr1sXOnTtx+vRpHDlypEKzRevUqYO1a9fi/v37cHd3L3WdRQcHBzg7Owvv87hcpEd8Ar8av9a5XC6uXLmCGTNmoGXLlnBycir0t8/6uYQOPycH6RGfwCujp1naRBrw/F+7du1C27ZtcfToUfz48QNeXl6Ftrds2RInTpyQSICkqPwp8AMHDkR0dLSsw5Gqu3fvYtmyZVi3bp1UxpFERkZi6tSpjC6zoaKiglWrVsldocAaNWpATU0N0dHRIpdX6NKlC65du4b58+cXWauNz+dj+/btuHv3Lnbt2iVyoToiOj6fj8+fP6NDhw6yDkVmVFVVsXr1apw+fRoLFizAihUrKrRAdM2aNbFkyRK4u7vj0KFDOHjwYKHLuIqKipg/f77wftSJU/hy+iz4WVlQ1NRAvfEuMOzdC0BeWRgnJyexY5F3AoEAubm54PF4xX5J/e/7W+yNW/h06DByU9PAVlFB7WFDUHeMbHq9xUp+3r9/j4ULF5a4XV9fHwkJCWIHRcqWvwp8dZgC7+PjAzMzM7i5uUn0uFeuXMHs2bNLrHUjDfXq1YO3tzeaNWvGWJvlYWFhgQcPHkBfX1/kgqW6uro4cOAAjh07hhUrVhSphfT06VPY2Nhg3bp1GD58uDTCrrYeP35c6ky96mT48OFo1qwZZs2ahd9++63C4590dHQwZ84cuLm5wdfXF97e3oiLi0OPHj2EXw4SHz5C5F/Hhc/JTU1DuNceaDZsCDWTOmjXrh0MDQ0ZLYwqTwoWQs348hXhXruBnzOW+VlZiDp+Ehr160O3fVvGYxPrsheHwyl1cGRUVBS0tbXFjYmIiFaBF09OTg5Wr16NCRMmMJr42NnZ4fLly3Kb+ORr164dHj16VK7nsFgsODk5wd/fv9jKwmlpaZgxYwY8PT2RkiKbAY5VzZcvX2BoaEhV9Qto1KgRtm3bhn379uHcuXMSOaaGhgamTp2K4OBgrF27Fm3b/vqg/n6vmJpBfD6+BwYJ71aHQeglefXqlfB2QmCQMPEpKP7ePSZDEhLrU9Pa2hrnzp0rtpsrPj4eJ0+eRJcuXSocHCkbrQJfPl+/fsXw4cPh7e0tocjKpqSkhDVr1mDfvn2Vououm81Gw4YN8ebNm3I/t0GDBrhw4UKJvXRnzpyBjY1NuZMrUlhubi6+fftWoUVuqyoNDQ1s2rQJSUlJWLFihcQWH1ZVVYWrqyvc3d2Fj7GVi0882QUSUh6PJ5H2K6OClbLZJRRBZSvJpjiqWMnPrFmzEBMTgxEjRuDEiRNgsVgICAjAtm3bMGjQIAgEAnh4eEg6VlKC6jQFviKrwN+8eRO2trZ4/PixhCMrWZ06dXD27FlMmDBBrsb3lEVPTw8CgUCsy9cqKipYsWIF/vrrLxgYGBTZHhUVBXt7e2zbtq1afzBUBF3uKh2LxYKrqyuGDh0KT09PREVFSezYCj8H7gJAzT69gf/8XbOVlWHQI69IK5/PZ3T2qLwJCwsT/o3rd+tSNAFisWBo01sGkYmZ/Jibm+Ovv/6CtrY2tm/fDoFAgIMHD8Lb2xsNGzbEX3/9hTp16kg6VlKK6jIFPi4uDi4uLuWaAp+bm4v169dj3LhxYtcEEUffvn3h7+9faacgW1pa4u3bt2JXFe/evTuuX7+O3r2LvrnxeDxs3rwZI0aMwJcvXyoaarXy6dMn1KlTp9CHMCleq1atsGHDBmzatEkq5VdqNG6EhnNnQfXnGCB1czM0Wb4EKnp6AIDbt28jJSUFGhoacvujpqYGZWVlqQyf+P79O27evAkAUNHTQ5PlS6Be3xwAoGpkhIZzZqFG48YSb1cUFa7wnJycjM+fP0MgEMDExAS6urqSik0m5LnCsyjHt7e3F/4OVVnPnj1x+PDhMguTxcTEwMPDg9GaMwoKCli8eDGmTJnCSG+PNF9XOTk5ePr0Kdq3by/2MQQCAY4cOYLVq1cXewmiRo0a2LBhA4YMGVKRUEVS2SvxZmdn4/nz52jXrp3U26rs56ogPp+PnTt3Ijs7G3PmzKlw4pidnQ1FRcVCCQM/O7vESzvyRCAQ4M2bN/Dz84Ofn59Yl7dLoqWlhb59+2LAgAHo1q1bieUX+Dk5hS4NSorUKzwXHOyspaWFFi1awMrKqtInPpUdrQJf2L1792Bra8to4mNkZITTp09j6tSpleoyV0mUlJRQp06dCs1Wyb8E4efnh8bFfMtLSUmBu7s7Zs+ezWidpcroyZMnhQbcEtGw2WzMnDkT1tbW8PT0rFD1+MzMTEyaNAl37twp3IYcJz4CgQDPnz/H+vXr0bVrV/Tp0wdbt26VSOKjp6cHR0dHHDt2DM+ePcP27dthY2NTat0paSQ+5SXWVPe2bduiSZMmaNu2Ldq0aYM2bdpAR0dH0rERMdAU+LxLKtu3b8fWrVsrVPSsvHr27IkdO3ZUuS8BtWrVwvPnz5GSklKhAduNGzfGxYsXsW7dOvz5559Ftp88eRIhISHw8vKqtJcKpSk8PBxmZmZVIqmWlW7duqFBgwZYtmwZxo8fD2tr63I9PzMzE5MnT0avXr3Qs2dP4eM8Hg9ZWVlQUVGRm8uRfD4fjx8/xqVLl3D58mWJXl42MjJC//79YWdnB2tr63L/znw+H+np6VBRUREumM40sS577du3D0+ePMGTJ0+QkpICFosFc3NztG3bVvhTWXsfKvNlr4Ju3rxZLVaBZ7FYOHDgAPr16wcgb7ahp6cn7jE4fZLNZmP+/PmYPn26TMoOMPW6CggIQOfOnSXy4Xv9+nXMmTOn2AHV+UXkpk2bJvEPksp6KYfL5eLNmzeMJoWV9VyJIicnB7///jt0dXVFvjydn/j07t0brq6uhbbJy7nKzc3F/fv34efnB39/f8TGxkrs2CYmJrCzs4OdnR1at25dofc6aZ2v8nx+V2jMj0AgwNu3b/H48WM8fvwYjx49EnYnGhsbCwc6VSZVJfkBqtcq8KdPnwaXy4W7u7tE/+DLUrNmTezatQudOnVirM3/Yup1xeVy8erVK4nNMoqLi8Ps2bNx+/btYrd37NgRO3bsQK1atSTSHiA/H1LlFRwcjA4dOjDa61NZz1V5+Pn54erVq1i1ahW0tLRK3K+0xAeQ7bnKzs5GQEAA/Pz8cOXKlUKFBSuqfv36sLOzw4ABA9CsWTOJvf7kIfkR67JXPhaLhcaNG8Pc3ByNGjVCgwYN8O+//+LTp09VftmFysDV1RURERE4cOCArEORKi6Xi5EjR4LL5TLa09W5c2fs2rWr2OncVRGHw4G+vj6ioqJgYmJS4ePVrFkTR48excGDB7Fu3TpkZ2cX2h4cHIy+ffvi999/h52dXYXbq6zevn2Lhg0b0uUuKbCzs4OlpSXmzZuHmTNnFluAtKzERxa4XC7u3LmDS5cu4fr16xItHGppaYkBAwbAzs6uSr/uxEp+0tLSCvX2hIWFITc3FxYWFujYsSNmzJhBNSjkxPLlyxEZGYmrV6/KOhSpYnJ8E4vFwuzZszFr1iy5ub7PFFNTUzx69AgGBgYSWUiTzWZj8uTJ6NixIzw8PBAeHl5oe1JSEiZPngxHR0esXLmyyvZAlCQtLQ1ZWVnQ+zl1mkiemZkZduzYgf/9739o2rQpxowZI/zAl6fEJz09HdevX4efnx9u3ryJjIwMiR27ZcuWwktaZmZmEjuuPBMr+ckfJNasWTO0adMGkyZNQps2bUrtNiSykb8KfHWZAi9tenp68PLyQrdu3WQdisy0adMGwcHBEr3U16xZM/j7+2PlypXw9fUtsv3YsWO4f/8+du3aJZVL0vLqxYsX6Nixo6zDqPI4HA7Wrl2LEydOYPHixVi+fDlYLJbME5+kpCRcu3YNfn5+uHPnjsSqVbNYLLRr106Y8NSuXVsix61MxEp+OBwO0tLS8P37dyQkJCAhIQGJiYmU/Mip6rQKvDRZW1tj9+7dMDIyknUoMsVisdC0aVOEhYVJdJ0yDoeDjRs3omfPnpg7d26hlbQB4MOHDxg0aBAWLlwINze3Kr+m3cuXL2FpaSnrMKoVBwcHNG/eHB4eHkhOTsagQYMYT3wSEhLg7+8PPz8/BAQEFLuMlDgUFBTQsWNH2NnZoV+/fjA0NJTIcSsrsZKfhw8f4u3bt3j06BEePXqE7du34/v379DV1RVOfW/Tpk21+oYm76rTFHhpmD59OubPn19mUcXqQktLC/Hx8YiJiZF4MtivXz9YWVlh5syZCAwsvHBkTk4O1qxZgzt37uCPP/6osm/g+YkfLRDNPHNzc3C5XGRnZzN2uTEmJgaXL1/GpUuX8ODBA4mNXVRSUkLXrl0xYMAA2NjYVLkyHBUh1jt5/kDnxo0bw8nJCQAQGRmJoKAgHDlyBNevXweLxSq0oqs0BAYG4syZM3j+/DmioqLg6OiI5cuXS7XNyix/FfjqMAVeUrS1tbFjx45il2io7iwsLHD//n3o6+tLPCk0NjbG8ePHsXfvXmzcuLHIt9+7d++iT58+2LJlS5Vc1uX169d0uUsG8gsY9uvXD87Ozjhw4ADWrFmDBQsWlFqPJr8YqFI5ivdFRUXh0qVL8PPzk+h6g6qqqujZsyfs7OzQp0+fSrGYsixU6B0rIyMDT58+FfYAhYaGIisrC4qKiox01967dw9v3rxBu3btkJycLPX2qoL8VeDlcQo8i8WCmZkZGjZsCA0NDfB4PHz//h1hYWGMrsmVr3Xr1ti7d2+1vB4uqnbt2iEkJEQqH9RsNhvu7u7o3LkzPDw8EBERUWh7YmIixo8fD1dXVyxduhQcDkfiMchCaGgo9ZrLQH7i07dvX7i4uAAAJk+ejIcPH8LT0xPLly8v8b1ASUlJpF7I8PBw+Pn54fLlywgNDZVY7Orq6ujTpw/s7OzQq1evajcxQBxiJT8bN27Ew4cP8ebNG+Tm5oLD4aBFixaYNGkS2rZti5YtWzLyRvTbb79h4cKFAIAHDx5Ivb2qwtXVFZ8+fcL+/ftlHQpYLBa6dOmCcePGoWvXriV+S4mMjMSFCxfg6+uLyMhIqcfl5uaGRYsWyaz6aGWhoKAACwsLvH37Fo0aNZJKG1ZWVrhy5QqWL1+O48ePF9l++PBhBAcHw8vLC02aNJFKDExJSEiAqqoqNDQ0ZB1KtZKf+NjY2MDZ2Vn4uEAgQLNmzTBnzhwsXrwY3bt3R7NmzWBpaQlNTc0yjysQCPDu3TtcvHgRly5dwtu3byUWs7a2Nvr27Qs7O7tS19EixRMr+Tl79ixat24NOzs74VIXshgLUdUHPErTsmXL8PnzZ5lOge/QoQPWr1+Phg0blrlv3bp14eHhgWnTpuH8+fNYvnx5sdWBK6pGjRrYtm2bsGI0KZuBgQHi4uKQmJgotTEF6urq2LJlC3r06IEFCxYU6el9+/YtBg4ciCVLlmDChAmVsjZJ/gclXe6qOB6Ph7S0NKSlpSE1NbXI7YL/JiUl4fbt29DW1sbp06fh4+NTaDuPxxMe9/79+zh79qww8eHn5iLx/gPE37mHnORkqNQ0QM3evaDTqiWAvC93X79+xfbt2wsdR1x6enro168fBgwYgE6dOpXrMhspTKyMhcmFIol0yHIKvLKyMpYuXYqJEycWejw7KRmpb94i/eNH5KSkgMVmQ9XIEOr160OzYQOwlZTAZrMxdOhQdO3aFfPnz8eVK1ckFleLFi2wd+9emJqaSuyY1UXTpk0RGBiITp06STXxGDRoEFq3bo0ZM2YUeR/KysrC8uXLcfv2bWzbtg36+vpFnq+goABdXV25/OL07NkztGzZUtZhCCkoKEBPT4+xWlYCgQBZWVlIT08vlHwUl7Dk//vfffP/FacGTlxcXJn7TJs2Tdi7mBkbi1er14L75atwe+rbd/h+LxA1mjSB5ZIFUNTQQK9evWBvb49Tp06VOyYgb7JK/pT09u3bV7vaYtJSoeUt5EmvXr3Qo0ePCg94fvHiBQQCASwsLCQU2S9cLhefPn1CvXr15GZ8QmxsLEaMGIGYmBhG2lNVVcWff/6J7t27Cx9LffsOX8/+i8SQhxCU8O1ISasGavbpjdpDB0OpwKWxRYsWwcfHp8JxOTk5YeHChVBRUanwsZgmL6+r7OxshIaGMrLqOI/Hg7e3N3bs2FHsN2o9PT1s2rQJ3bp1g6KiIhQVFYskPAKBALm5ucjNzWV0AdzixMXFIS0tDebm5jKNQ0FBAUo/v2QUJBAIwOPxkJOTU+Rc8fl8ZGRkCHtXSvpJT08vc1tOTg6Tv265KCkp4eHDhzAwMICAx8PTGbMLJT7/pd26FZquWAoAePLkCQYNGiRyW3Xq1IGtrS1sbW1hZWUll8l6RUjrPSs8PBwsFkv6a3tJWmpqqkjZt4mJSZGxGJJMfv5bZr+qi4iIwMKFC8HlcqXaDpvNxqFDh9CnTx8AAC8rC599jiH6kh8g4stQSUsL5lPdoN+pg/AxT09PnDlzRqyYOBwOPD090aVLF7GeTwqLj49HTk6ORNfjKs2bN2+wdevWYpP3unXr4ty5c2UORM3NzUVoaKhE10Qqrzdv3qBx48Yya19RURFWVlbQ0dEpdT8ej4dt27bhn3/+QUZGBrhcLrhcrsyTRyYMHDgQ3t7eAIDvAUF4+/uWMp9jte13aPxMaG1sbPDy5csS961Tpw46deqEjh07wtzcvFJeupUHysrK0l/bS9L8/f2xdOnSMvfz8/ND/fr1pRaHkpJSten5AfLWclFXV4ebm5tUp8BPnDhRmPjkZmTg1ar/IfVN+QYA5iQn4+3G35Hp7IQ6w4cByBuA/+jRo3IPhG7cuDF27NhR6cu5y9PrytLSEqGhoTAxMWFk0K6lpSX69OmD1atX49y5c8LHDQwMcPLkyUKJT9Kz5/jx+Cn4uTnQbNgQ+p07gq2sDEVFReGyBtVx4oSqqipOnjxZKPFJfR+OhOD74KVnQM3UBAbdukFRQx0KCgqYN28evnz5IvZlnMqq4GD6+Lv3RHrO97sBwuSnSZMmRZKfxo0bC3t4GjRoILlg5Zw0e35EJVfJz8iRIzFy5EhZhwEWiyXVqYIcDkfupiL2799fqlPgzczMsGDBAgCAgM/Hm/Wbyp34FPTZxxdKNWrAsG9vqKmpYcuWLeV67Tg6OmLVqlUyTxYkSV5eVx06dEBgYCA6d+7MSHtqamrYtWsX+vTpg0WLFiE1NRWrV68WLr6aEfUFbzdtRkZklPA5MX7+iDh4CBbTp0GvgzVUVFSwa9cudOjQQWIVdSuL6dOnC9dizE5KwtvftyIlrPCH9KfDR2HqNBa1Bg8EAGzYsAG3b99GfHw84/HKirq6uvB2joilVbKTfu2X/7fZqlUr2NnZoX///pX+i1dFSfo9qzy9ZVXrQiKpEFdXV0yePFkqx545c6Yw0Yi+6Ifk0IoPso44+CcyY/Muk3bq1Emk9bY4HA527NiBTZs2VanER960bNkST58+ZbTNYcOG4erVq8LpvwCQk5KCsGUrCiU++XJTU/F20xYk//ygNzY2rnaz/JSVlYWFagU8Hl6tXFMk8QEAflYWIg4eQuyNmwDyeovGjh3LaKyyVnDldJWaBiI9R7XAfo0bN8aDBw9w8eJFuLu7V/vER9Yknvzk5OTg+vXrmDFjhqQPXcTXr1/h7+8Pf39/cLlcREZGCu8T8SxbtkziFXN1dHSEg/1yUlPx2fcviRyXx83Ep8O/BjsXrM9RHBMTE/j5+WH48OESaZ+UTF1dHTo6Ovjy5Quj7datWxcHDx4Ult6I9vNHzo+kEvcX8HiIOn5SeL+s11BV069fPxgY5H1Afw8KRnrEp1L3j/r7JAQ/L407OTlVq3Epjx49Et6u2atn2U9gsQrtt3fvXkyePBlBQUHSCI+Uk8SSn5CQECxbtgxdunTB9OnTce+eaNdEK+LBgweYOXMmZs6cicTERNy7d094n4gnfwq8JCvMDhkyRFiAK+7GLfAltDIxACQ+CEHWz3o/NjY2pQ7YjIqKwvLlyxESEiKx9knJ6tWrh+joaImtRC2qgjNj4m/dLnP/5BdhyPr+HQDkaqo5E1q1aiW8HX/rTpn7Z8XHC3vKatWqVWXXVivO3bt38enTJwCATquWqNG09IKaNXv3gqpR3vm5ffs2Pn/+jNDQUIwcORLjx48v1/gUInkVSn7evHmD33//HT169ICLiwtu374NW1tb7N27l5FaQPb29nj79m2xP0R8+avAGxsbS+R4+eMJAOD7vQCJHDOfgMdDQmDeNykFBQVYWVmVuv+9e/cwbNgwODg4VMvBrUxr27atRNctKktwcHChQaVZ30UrhJmdkDfTS11dvVr1ZhQcxyL6ufq1X8HnV3UCgQCHDx8W3rdcvBA6bVoX3ZHNhmHf3qg/9dcQgkOHDhXa5erVq+jVqxcWLVqE7z8Tb8Kscic/3759w759+zBo0CAMGzYM586dQ+vWeS+AZcuWYfXq1ejRo0elrJdCfslfBV4Sb24tWrQAAPBzcpD+6XOFj/dfqe9/fYMqK/nJFxAQAHt7e4waNYqSIClisViwtLREWFiYVNt59eoVxo0bhxEjRiA2Nlb4uIq+aKtyK+vlVabOyMioFtO286Wnpwtvi3yuClTxFqeYYGV26NAh3LmT10OmqKGOJsuXwGrbZtS2H4qavXrCZPQotNnjBYvp7mD/rL7s6+uL69evFzkWj8eDj48POnfujB07dki91AgpTOTk5/jx43B0dETv3r1x4MABtGjRAgcPHhReaqpObxjVRf4q8BUtsJW/GCD3WzQEUphJU3Awa3kXIQ0MDIS9vT1GjhxJlculREdHB8rKyiLV8CqvqKgozJgxAzY2Nrh5M28wbsGB1gY9e5R5DK3mzaDysxr0s2fPJB6jPCt8rrqXsmceFQMDaDVrCgCIjo5mrDiqLKmqqsLAwABmZmZo0qQJDhw4UGhRUg1zM9RzGYcGM6ej7hgH4aUuIK9u3Nq1a0s9flpaGjZu3IiuXbvi1KlTUi03Qn4Rear7ypUrUadOHezcuRPdu3cvtKZIdeomrm4ksQp8fkFKvpSKRwoKVIUVdyHSoKAgBAUFoVOnTpgzZw6tryRhDRs2RHBwsMSWS0hMTMT27dvh4+NTpCjp8ePHMWvWLCgqKsLYrh9iLl9BTlJS8Qdis2Hi8KtEgiSqhVcm/v7++P79O/T19aHfqSO+1DuDjFJ6Z00cRoL18//P19dXrr/0qqqqQldXF5qamtDQ0ICmpibU1dUL3f/vv//dR0NDo0LrZzVv3hx3797Fli1bcOzYsVITm+joaMyaNQv79+/HsmXL0LVrV7HbJWUTOflp1qwZwsLCsHLlSuHCagUHy5Gqq6KrwGdlZUFNTQ0KUlp1mF3guBUdXJufBHXs2BFz5sxBp06dKhoe+al9+/Z4+PAhOnToUPbOJcjIyMD+/fuxZ88epKamFrtPdHQ0Ll++jEGDBkGpRg00W7MSbzZtBjeq8MwzRU0N1HefCq3mzYTPq24zRbOzs+Hr64tZs2aBpaCApiuX4e2mrUh59arQfmxlZdR1GgvDvr0B5K2C/tdfkpm1WZCKikqRhKSshKXgv4qKipg/fz6GDRvG6FT8rKwsxMTEwMjIqMiQDwMDA2zYsAETJkzA2rVri70EVtDLly8xevRo9OrVC0uXLkWjRo2kGXq1JXLy888//+Dz58/4999/cenSJfj6+qJWrVqws7OT6MwgIp8qsgr8p0+f0KRJE3BqGYOtrCzxHiD1er8WIo2IiJDIMYODgzFy5EhKgiRIQUEB5ubmePfuHRo2bFiu5+bk5ODvv//Gtm3bRLp8tnz5crRq1Qp16tSBWl0TtPbajh9PnyHpyVPwc3Kg2bAB9Dp3gsLPD6rs7Gx4enrK9dpS0rJz505069YNrVu3hrKODpqvX4PUd++QEHQfPC4XHBMT1OzRDYoFKnYvWrSo0P9Dfi/Jf5ORshKW/MQm/3ZFxopyuVyMHz8e9vb2GDNmTIXOSXnxeDx8//5dWDagOA0bNsSRI0cQEBCANWvWlDkO7ubNm7h9+zbGjBmDefPmoWbNmpIOu1oTe22v58+f4/z587h8+TISExPBYrFgZ2cHR0dHtGrVqtJeCstf4VwaCV1GRgZev34NS0tLuajEW14ZGRlirQK/ZcsWjB49GgAQunAJUl+/kWhc5lPdYNzfFgAwatQoBAYGSvT4ANCxY0fMnj1b6quWi6Oyva7CwsJQu3btMteRAvJm2Fy8eBEbN24sd2JramoKX1/fMhcLTU9Px5QpU3Dr1q1yHb8q0dHRwZ9//on27duXup9AIEBkZCSysrKgoaEhXMutTZs2Mv27yE98hgwZwnjiA5T/b5DP5+PMmTPYuHEjvn37Vub+ampqcHd3x5QpUyrF33hZpPWeVZ7P7wovbMrj8RAQEIALFy7gxo0byMzMhLa2Nnr06IH169dX5NAyQclP6WJiYjBw4EBER0eL/BwHBwds3bo17/lXruHD7r0Si4etrIy2B/dBqYYmsrKy0KJFC6SlpUns+P/VoUMHzJ49G507d5abJKgyvq4CAwPLTCQDAgKwfv16sQch165dG4sWLcKQIUOKHbTP5/ORmZkJLpcr1UGmjx49knlyICpVVVWoqqqWa5wLl8vFs2fP0LBhQ+jpiTZjTJLyE5+hQ4cKv2QxTdy/QS6Xi4MHD2Lnzp0ivW8ZGRlh/vz5GDlypETGzslKlUh+CuJyubh69SouXLiA+/fvS316qzRQ8lO2V69eYejQoYWmyZZGXV0djx8/hqamJniZmXg0aSpySxivUV6GfXvDYro7gLxLs0wVuLS2tsacOXPkIgmqjK+rrKwshIaGol27dkW2hYWFYf369bh9+7ZYx9bW1saMGTPg4uIiLK5ZsN3o6GgYGRkV2SYNr1+/hqGhIXQLTA+vLPLPlbGxsUiXo969e4fMzExhaQsmcLlcuLq6YtiwYTJLfICK/w0mJCRg69atOHr0KHg8Xpn7W1paYtmyZejevewZevJIHpIfiS5vweFwMGTIEBw4cAB3796V5KGJHCnvFPj09HT8888/AAAFVVWYT54gkTiUtGrA1NlJeJ/JmToPHjyAg4MD7O3tce/ePbme9SKPVFRUUKtWLWHFXAD4/Pkzpk+fDltbW7ESH1VVVXh6eiI4OBhTpkwpNrnh8XhISEhgZDpxSkoKeDxepUx8gF/nSpQPYyBvTIu5uTmCg4Px48cPKUeX9wEqD4mPJOjp6WHt2rW4efOmSOvLvX79GmPHjoWjoyNev37NQIRVj8jJT2pqKiZOnIi9e0u/ZLFnzx5MnjyZihxWcflT4EW1Y8cOJP2cbmzQvRv0u3WpWABsNiyme0CpRg0AwKVLlxitJJwvJCQEo0ePxrBhw3D37l1Kgsqhdu3a+PHjByIjI4XfYs+ePVvu4ygoKMDJyQmBgYFYuHAhavx8Tcjaq1ev0KxZM1mHwSgNDQ107NgR0dHRUu35z8jIwPjx46tE4lOQhYUFDh48iNOnT4u01Mrt27dhY2ODuXPnVouaS5IkcvLj6+uLp0+fYtSoUaXuN2rUKDx58gTHjh2rcHBEvpVnFfi4uDgsX75ceL/BTE/odRRvyjNLQQENZk6Hbvu2APK6jBctWiTWsSTl4cOHGDNmDCVB5ZCWloZbt26hZ8+e+PPPP8WaaTVgwADcvHkTGzduhJGRkRSiFE9YWBiaNCl97aeqrEmTJjAxMUFwcHCh1dAlIT/xsbe3r1KJT0EdOnTAhQsXsGvXLtSpU6fUffl8Po4fP44uXbpg8+bNIg9HqO5ETn6uXbuGAQMGlNmFq6enhwEDBog1JZpUPuVZBf7y5cvCVb7Ziopo9NtcmE10BbschQk5JnXQfMP/ULNH3rXu7OxsTJ8+HQkJoq1LJG35SdDQoUMpCSpBdnY2Dh8+jM6dO2PLli3IzMws9zE6duyIixcvYt++fbCwsJBClOJLTEyEgoKC3PRAyYqWlhY6duyIyMhIiV2aKZj4ODg4SOSY8orNZmPo0KG4c+cOli1bVubricvlYtu2bejcuTOOHTuGXClU069KRE5+IiIiRO7Cbdq0KT58+CB2UKTyEHUVeCMjI5w9e7bQtxgWm41agwehldd21BoyqFAdkf9Sq2eK+tOmoOW2zdD8WSMmKysLbm5ucjm+7NGjRxgzZgyGDBmCO3fuUBKEvG+o//77L3r06IElS5aItaBjkyZN4Ovri1OnTsllkVWBQIC3b9/C0tJS1qHIjWbNmsHQ0BDBwcEV6pXIH+NTHRKfglRVVTF16lQEBgZi4sSJUFQsvTxffHw8fvvtN/Tt2xc3btyg954SiFzksLwnkE549ZG/CnxJU+CbNGmCI0eOoFatWsU+X9WwJswmuMLU2QkZkVFI//gROSmpYLHZUDUyhEZ9c6j8p3hYeHg4Zs2aVWhtInn0+PFjjB07Fq1bt8bcuXPRvXt3mc8Ok4W7d+9i7dq1Yo8DMTExwW+//YahQ4dWeK05aQoNDRV5cd3qRFdXFx07dkRoaCg4HA4aNGhQrufnJz7Dhw+vVolPQbq6uli9ejVcXV2xfv16+Pn5lbr/u3fv4OzsjC5dumDZsmXVbvxZWUR+FzE2NsbLly9F2vfly5cwNjYWOyhS+ZS0Cnzv3r1x9uzZEhOfgjNJ2IqK0DA3g2Gf3qhjPxS1hw6GXgfrQolPWloadu7cCVtbW7lPfAp68uQJHB0dMWjQINy6davafDkIDQ3F6NGjMWbMGLESn/w3/Dt37sDe3l6uE5/4+HioqalVmnIDstCiRQvo6OggODhY5FXMKfEpzNzcHPv378e5c+dE6v0MCAhAv379MGvWLJEKKlYXIr+T9OjRA+fPny80NbU4nz59wvnz59GjR48KhkYqm/9OgZ8wYQL+/PNPaJRyOUtBQQECgQBfv37Fp0+fip1Wm5qaiqCgICxatAitW7fGhg0bxBonIg+ePn0KJycnDBo0CDdv3qyySVBERASmTZuG/v374969e+V+vpqaGmbNmoWgoCBMnDhR7mePCgQCfPjwodw9GtWRvr4+OnTogDdv3iA8PLzUffMTnxEjRlDi8x/t2rXDhQsXsHfvXtStW7fUfQUCAU6dOoWuXbti48aNJa6LV52IXOQwISEBAwYMgKKiIhYvXgwbG5tC1x5zc3Nx9epVbNiwAdnZ2bh48SL09fWlFri0UJHDijty5Ahyc3MxceLEcj1PIBDg/v37OH36ND5+/Agej4fExERERERU2SShVatWmDNnDnr27Cn25TB5el3FxcXhjz/+EHvApaKiIuzs7DBz5kw0btxY4vFJ61w9fvwYTZs2ZaRwIlOYeF3FxsYiIiICrVq1KpLgZmRkwMXFBSNHjixzlrGsyfpvMCsrC0eOHMH27duFJUVKo6enh7lz58LR0bHMMUTSIA9FDstV4Tk0NBTTp09HfHw8VFVVUa9ePairqyM9PR2fPn1CZmYm9PX1sWvXLkarfEoSJT/y4datW1i/fr3Il1oru5YtW2LOnDno1atXuZMgeXhdpaamYu/evdi3bx8yMjLEOsbgwYPx22+/wczMDMHBwWjfvr3ES/hL41xFR0eDy+WWuYZYZcPU60ogEODx48fQ19dHvXr1hG1XlsQHkI+/QQD48eMHduzYgUOHDolUOsLCwgJLlixB3759GR2LKA/JT7kuoLdo0QKXLl3C7Nmz0ahRI3z79g1Pnz7Ft2/f0KhRI8yePRuXLl2qtIkPkR/W1tZYv349fH190bFjR1mHI3XPnj2Ds7MzBgwYgOvXr1eanq6srCwcPHgQnTp1wh9//CFW4tOlSxdcvnwZe/bsgZmZGYC8Lv1Hjx5JOlyJ4/P5iIyMrHKJD5NYLBbatm0LZWVlPHjwAMnJyZUq8ZEnOjo6WLFiBe7cuYNBgwaVuX94eDjGjx+PkSNHIjQ0lIEI5Ue5+7s0NTXh5uYGNzc3acRDSCHW1tbo2bMngoKCsHXrVgQHB8s6JKl6/vw5XFxcYGVlhdmzZ6NPnz5yOTuMz+fj3Llz2LRpE6KiosQ6RvPmzbF48WJ069atyDZFRUXUq1cP4eHhclfHp6DHjx+jdevWsg6jSqhVqxY0NTUxfPhw2NvbU+JTAaampti7dy8mT56MNWvW4OHDh6XuHxwcjP79+8Pe3h4LFy5E7dq1GYpUdsrV85OVlQU/Pz/s27cPp06dQlxcnLTiIqSQTp064Z9//sE///yDTp06yTocqXv+/DlcXV1hZ2eHq1evyk1PkEAgwK1bt2BrawtPT0+xEh9TU1Ps3r0bfn5+xSY++QwNDZGZmYnk5OSKhCw1X758gaGhYblWQCclS09Px4QJEzB58mQMGDAAISEhIq8rRorXpk0bnD17Fvv37xdeUizNmTNn0LVrV6xbt07ilbnljcjJT0JCAgYOHIi5c+di69atWLZsGWxtbREUFCTN+AgppGPHjjh16hROnz6Nzp07yzocqQsNDcX48ePRv39/mSdBT58+xciRI+Hk5IRXr16V+/n6+vpYu3Ytbt++jSFDhog0bb1Zs2YICwuTm+QvX25uLqKjo8ucZUNEk56eDhcXFzg4OGDkyJEwMTFB69at8ejRI3z9+lXW4VVqLBYLdnZ2uHXrFtasWQMdHZ1S98/KysKuXbvQuXNnkccOVUYiJz+7d+/G169f4erqCm9vbyxevBgqKiqF1msihCkdOnTAyZMnq00S9OLFC5klQR8+fICbmxsGDhwo1mVHdXV1zJs3D4GBgXB1dYVyOZYzAYDWrVvLZNHa0jx58oQud0lIfuIzevRojBgxQvi4oqIirK2tkZOTg4cPH4LP58swyspPWVkZEyZMQGBgINzd3cssH5GYmIilS5eiZ8+e8Pf3l7svIBUlcvITEBCAIUOGYMGCBejevTucnZ2xfPlyfP36FR8/fpRmjISUKD8JOnPmDLp0qeBK8ZVAfhLUr18/XLlyRapvSLGxsViwYAF69uyJS5culfv5SkpKmDhxIoKCgjB79uxS6z2VhsPhwNDQEJ8/fxbr+ZL2+fNn1KlTR+Iz0aqjkhKfgurVqwcrKyuEhITQyuUSoKWlhSVLluDOnTsYNmxYmftHRERg4sSJsLe3r1SFZcsicvITHR2NNm3aFHqsTZs2EAgEcrOoJKm+rK2tceLECZw9exZdu3aVdThSFxYWhgkTJqBfv364du2aRJOglJQUbNiwAZ07d4avr69Y4y6GDRuGO3fuYPXq1RKp92ViYoLv37+LXBVYWrKzsxEfH19ixXIiuvzEZ8yY/7d332FNnW0YwO+wQUA2ggLOsIciCnWg1Gqtq3WiFWdRq36Oyleso9Zqa2tbUaEOXEWxKp/iquCetW4KKoIK4gBB2RBAyDjfHzanRFYChATy/K6Li+SsPBxGbt7znvcdX2PwEdPS0oK3tzdKSkpw586dFtcKoQg2NjYICwtDTEwMvL2969z+5s2bGDp0KGbPno3nz583QYXyJXX4qaioqNJMJm6+ptljibLo0aMH9u/fjyNHjtTambaluH//PmbPno0FCxY0OAS9efMGW7duhY+PD0JDQ+sVNPr164dTp04hLCwMdnZ29a6lOt26dUNcXFyjHlNWcXFxVf4JJLKrHHxGjRol9X6dOnWCs7Mzrl+/juzsbDlWqDrc3d1x8OBB7Nq1C506dapz+6NHj8LX1xfffvutVAMqKiuZ7vbKyMhAYmIi+/Hw4UMAb5uBKy8XfxCiKF5eXti3bx+OHDkCX19fRZcjd2lpaZg9ezYGDhyI2NhYmfpHCIVC/O9//0Pfvn3r/QfN3d0dBw4cwN69e+U2gSKHw4GbmxsSEhLkcvy6pKamomPHjko59EBzwuPx6hV8xHR0dODj44PCwkLEx8dTK1Aj4HA4GDhwIM6dO4fvvvsOJiYmtW5fUVGBrVu3olevXti2bRsqKiqaqNLGI/UIzw4ODtX+0jMMU2W5eFlSUlLjVNmEaIRn5dDY5+rWrVsICQnBpUuXGqE65efo6IhFixZh8ODBNW7DMAzOnTuHNWvWIDk5uV6v06FDBwQHB2Po0KFNFgpSU1Ohp6dXr8mT6/tzVVZWhuTkZKkmkmwp5PH3isfjYcqUKfUOPu8qLS1FQkIC7O3t63zDlqeW9re9qKgIv/76K7Zv3y7VPIrt27fHV199hSFDhkj1d0AZRniWepDDNWvW1L8iQhTMy8sLv//+O27fvo2QkBBcvHhR0SU1Cj09PbRu3RoMw6CwsJC9VJWUlIRjx47VGH7u3LmD77//HtevX6/X65qbm+OLL77A+PHjm3ycm06dOuHGjRswMzNrstdOSEhAz549m+S1Wipx8JkwYQJGjhzZKMfU09ODj48PkpOTkZGRIZd/WlWRoaEhvvrqK0yaNAlr167FwYMHa93+6dOnmDlzJjw9PfH111+je/fuTVRp/UkdfqTpFU6IsuvevTv27t2LO3fuICQkBBcuXFB0STIzMzPD+PHjMWHChCrjzDx58gSRkZGIiorCggULquybkpKCH374AbGxsfV6bX19fcyePRuBgYEK/Q/Xy8sLN27caJKpTx49eoQuXbrQ5a4GEF/q+vTTTxst+FTm4OCA4uJiXLt2DY6OjjAyMmr011BFbdu2xYYNG/DZZ5/h22+/rXNcvzt37mDEiBEYMmQIlixZUuPAiurq6jAwMJBDxdKTqc8PIS2Fp6cnIiMjcfz4cfj5+Sm6HKnY2dkhLCwMt27dwuLFi6sdYK9jx474+uuvERcXB1tbW7bvT2ZmJv773/+if//+9Qo+Wlpa+Oyzz3Dt2jXMnz9f4U37ampq4HK5cr+0zuPxUF5eDlNTU7m+Tksm7+AjZmBgAB8fH7ZvKmk8rq6uiIqKQkREBLp06VLn9idOnEC/fv2wYsUK5OXlVVmvra0NLpcLXV1deZQrFQo/RKV169YNe/bswR9//KHUIcjLywsnTpzAJ598wt5lyYhEKEpKRs5f15F77TqKHz5it9fS0oKuri5ycnIwatQo9rKfrAPFcTgcjBo1CpcvX8bKlSsV2q/iXaampuBwOHIdauP+/ft0KaUBxMFn4sSJcg0+lTk7O6Nt27a4du0aiouLm+Q1VQGHw8GAAQNw9uxZ/PDDD3UOYcHn87F9+3YsX768xlGiFdmaKvPEpoS0RF27dsWePXvw999/Y926dTh//ryiS2J1794d+/btY/9L4hcW4tWZc8g6dQbl78yvp2NthTYfDoLl+/2hoa8PCwsLREREYOTIkTL/N+zq6oqZM2eiV69ejTJWjzw4ODjgr7/+gre3t1TTZcjiwYMHcHBwaNRjqpLKwaepu00YGRnBx8cH9+7dg5aWFuzt7Zv09VsyDQ0NBAQE4JNPPsHmzZuxZcuWGjtF+/j4ICQkhO2bJ3zzBjlXr6EsIwPapqYw69MLmoaGTVk+S+q7vVQF3e2lHBR9ruLj47Fu3TqcO3euyV+7snbt2iE2NpZtccn/Ox4Pf/wZwjrG4NEw0IfDV8Fo7ewEAMjKysLgwYPrPRmxhoYG2rRpA2tra1hZWbGfKz82Nzdv9AAiDT6fj7i4OKk6JEv7c1VQUICXL1/CycmpMUttVhryO1hcXIwpU6YoJPi8Ky8vDw8fPoS7u7vc/pYo+u+VImVmZuKnn35CVFSUxLADHA4Hly9fRseOHQEAOX9eRcqmrRCWlPy7jaYmbMePQ7tRjfMzIpe7vQhRJR4eHti9ezfi4+MREhKCs2fPKqSOefPmscGnID4BSavXgJFiUFFBMQ8PvlkF51UrYOjggDZt2mDmzJlYtWpVveoQCARIT09Henp6jduIA1JN4cja2hpmZmaNPi2EpqYmbG1tkZKSgs6dOzfKMZOTk6Ua9ZZUVVxcjMmTJ2PSpEn4+OOPFV0OTExM4O3tjYSEBOjr6zfazwh5y8rKCuvWrcP06dOxevVqXL58GQDQp08fNvgUJT/Ew1/WA+9cdmf4fDzbHQktExNY9G/a8dgo/BBSCw8PD0RERCAhIQEhISE4c+ZMk722oaEh209CUFqK5LU/SxV8xEQVFUhe8xO6b9sMNS0tjBs3Dj/99JNU43bUh7QBydLSss4WJFkDkpWVFe7evYuioiIYNrAZ/d69e3IbqLGlU7bgI8bhcODh4YHs7Gxcu3YNXbt2hY6OjqLLalGcnZ2xb98+XLx4EatWrcKYMWPYdS+PHKsSfCpLP3SYwg8hysjd3R2//fYb7t69i3Xr1jVJCBozZgzbz+f1+YsQlpTKfAx+QQFyrv4Fi/79YGxsjOHDhyMqKqqRK5WeQCBARkYGMjIyatxGHJDebTWqHJKqC0hubm74888/0atXr3p3pMzNzYW2tna9J2FVZcoafCozNzeHmZkZ4uLiYGxszLZMkPoTCARIS0vDgwcPkJSUhOTkZPB4PIm7UfNu3a71GGUvXuDNq9fQsbSQd7ksCj+EyMDNzY0NQSEhITh9+rTcXsvf3599nHXyVL2PkxlzEhb9+wEAJkyYoNDwIw1ZA1LlcGRmZoZ9+/ahf//+sLCwkKkFiWEYPHr0qEnGDmppxMFn8uTJGDFihKLLqRWHw4GnpycyMzNx/fp1dOvWjb2DktSMYRhkZ2cjOTkZDx48QHJyMpKSkvD48WOUl5dX2b5y/z9GirtMmXpMoNwQFH4IqQc3Nzfs2rUL9+7dQ0hICE6dqn84qYm4b0Lp8xcoe1HzpaS68B49RnlODrTNzFrMf7rSBCR1dXX2Elu7du3QtWtXWFlZITs7GzweDwAgEomgrq4ODoeDtLQ02NnZ4datW+BwOFBXV4eamhq7Xvxc/PHu8+qWVfecw+G0qAETm1PwqczKygqWlpa4c+cOLCwsGn0i3uasrKwMjx49qhJ0ZBlWIjMzk31s5OaKgvia5+TTtjCHThvLBtUsKwo/hDSAq6srdu7cifv37yMkJAQnT55slOPq6Oiw/43yCwsbfDx+QSG0zczQunXrBh+ruRD+85+kn58fJkyYAHNzc4n1ZWVlOHr0KCIiInD37t0mre3dMCRtkKotlDXWsYyNjeHm5gZ9fX2Ym5ujqKgIxcXF4PP50NTUhKamJjQ0NKCpqYmysjJMmzYNU6dObVbBR0xNTQ1eXl7IyMjAjRs34OnpCQ0N1XlbFIlEePHiBZKSktiP5ORkpKWlyTwm2LuOHDmCIUOGAACsRwyrNfxYDxsKThPfKao632VC5MjFxQU7duzA/fv3sX79+npPHyEmMQJFY/xR+OcYwiZuWlYUDoeD4OBgzJ49u8ZLX7q6uvD394e/vz/OnTuHOXPmNNmgeCKRCCKRCAIZOrDLW+/evTF58mQMHDiw2gCQmZmJPXv2IDIyEtnZ2RLr/v77b3zxxRcSwajyZy0tLWhoaFS7TprP8t7H1NQU5ubmiIuLY1sKW5qCggIkJyezrTlJSUl4+PAhSirdet5YbGxswDAMiouLYWBgAONuXdF+6mQ8jdhTpeNzmw8HwXr40EavoS4UfghpRC4uLti+fXuDQ1B5eTnKysqgq6sLbbMGTq2gpgZt07e3yxc2QiuSsuNwONi4caPEiMIigQB5N2+hJO0pGKEQOhbmMOvdGxr6rQAA77//Pg4fPowxY8YgPz9fUaUrhKamJn788UeMGzeu1u2srKwQFBSEwMBABAYG4urVq+w6gUAAgUAgtzsJmwqHw4GmpibU1NSgra1da2AyMDCAn58f+vXrB3Nzczg7OytF3yE+n4/U1FS2FUccdCpfhmosBgYGcHR0hKOjIxwcHNjP1c3b1fbj4TDr/R5en7uAsoyMt7e3+/WHnq1No9clDQo/hMiBOAQlJiZi/fr1iImJkfkY8fHx8PHxgY6lJQydnFD04EG9ajH27AbNfy53JSTU3PTcUixbtowNPoxQiPRDh5EVexIVeZKhJm1nBMz79oHdpE+haWgIR0dH7Nq1C2PHjkVFRYUiSm9y6urq2Lp1KwYNGsQuq8jLQ9apMyh6kARRRQW0TIxh7tsXJl7dwVFXR+vWrREZGYmpU6fi4sWLiiteDhiGYb/3NQU5XV1dBAcHw9/fX6GTczIMg6ysLLY/jvgjJSWlxukk6ktdXR2dOnWSCDpOTk6wtraWqf+atpkZbMaNqXvDJkDhhxA5cnZ2xrZt2/DgwQOEhITIFIIiIyPZO4/afDSo3uHHavC/b2x79uyp1zGaCy6Xi1mzZgF4G3ySf1iLvJvV32YrKi/HqzNnUXg/Ea7ffwstExN4eXnB398fu3fvbsqyFWbZsmVs8BFVVCB1yzZkX7xU5c6b3L+uQ8vMFJ1mzoBJj+7Q0tLC1q1bMWTIEKSkpCiidIUwMTHBnj174OHhIbG8Ii8fwrIyaOi3Yv/REEtNTcWJEydQUVEBhmEgEonAMAz7IX5e+TMAiWUVFRXIz8+X+CgsLJRLSNfU1ISenh709PSgq6sLHR0d6OjogGEYPH/+HE+fPkVMTEyt9Yo/A8DcuXPrbFVUBAo/hDQBJycnNgStX78eJ06cqHOfmJgY5OTkwMzMDKY+3tCxssIbGZuuW3VoD2PPbgCA58+f48KFC/Wqv7mYNGkS+/jZ3n01Bp/K3mRmImnNWrj/9AN7DFUIP5aWlpg2bRoAQMTn48Gq71F4916N21fk5CJpzY+w/+8imL3nDX19ffznP//B/Pnzm6pkhdLV1ZUIPsLycmRfuoys2FMoeZLGbmfo4gyrwR/C1KcnOP+0mHTu3BkzZ85scCfipsDn81FYWNgol8h/+eUXieAjKC1FSVoahG8qoKapgVZ2tlXCYlOhWd0JaUJOTk4IDw/H2bNnMXRo7Z38Kioq8PvvvwMA1DQ04PT1Upn+UGiZmcJx2Vfs8z179jSLP7711apVK4wePRrA2wkUs2KlH36A9+gxih4kAQAcHR3Ro0cPudSoTCZMmMB2bM44cqzW4MMSifB4/Ubw/+kYPmzYMBgbG8uzTKWxePFiNviU5+biblAwUn/dIhF8AKDofiIe/vQLEr9Zxc7B99FHHyEgIKCpS1aoSZMmsWOViQQCpO2KwK2pgbi/5Gskfbsaicu/wa2pgXgUshECOXS6rguFH0IUwNHREVu3bmVDUE3XzTdt2oTk5GQAgK61FVx//B56UoxHot+lM9x+XAPtf2Zjj4+Px86dOxvvC1BCvXv3ZvtgZF+6AmGpbCNiVx5IUnyLbkulrq6OTz/9FMDby4OyDKIpKi/H67PnAQDa2toSg3G2VPr6+uzXKXzzBg++WYXS5y9q3afw7j0k//gz+/yzzz5rUeM71YbD4WDmzJns80e/rMfLI8cgeqcfFSMUIvviJSSu+BaiJu5nR+GHEAWqHIKGDRtW5Y9jcXExAgIC8PLlSwCArlUbdN24Ds7froCpj7fEbfAcDQ2Y9ekNl+9Xwf3nH9m7xNLS0jB58uRmfydOXSws/h0av/jhQ5n3L0p+xD42+yc0tlTt27eHlZUVACA/7m9U5Eg/eB0AvDrz70S/qjAi9qhRo9gpT15fuFRn8BEr+DseBQlvx5Dq2LEjevfuLbcalYmvry/at28PAMj/Ox65f12rdXve4xRknW7ayaOpzw8hSsDBwQFbtmzBw4cPsX79ehw/fpztMPjy5UsMHz4cu3fvhpOTEwDAyN0NRu5uEL55A0FxMcDhQMPAAOra2hLHjYuLw5QpU2QambW5qnybsaged7swlfZRhluW5anypSpZ+5EBQFlmVrXHaqnEl1MByHQ5Vby9kbsbgLfz9V25cqVRa1NGlVtOs05KNwVQVuxJWA/9SF4lVUEtP4QoEXt7e2zevBnnz5/HiBEj2JagzMxMDB8+HCtXrpSYR0ddRwfa5ubQNjOTCD6PHj3C0qVLMXr0aJUIPoDkGEZaJiYy769l8u+beFFRUaPUpKwkBtFEwy7FtOR+ZGLiSTrfvM5G6bNnMu1beVJPGxvFjGnT1Cwt/52qojgpSap9ytIz2L5kTYFafghRQlwuF5s2bcKCBQuwYcMGHD16FGVlZXj69Cm032ndYRgGAoGAnaoAeNvEPnv2bHzyySfIzMzEy5cvq3x+/fp1i3rjun//PvvYop8vXh45JtP+5v192cf37knR+bcZqzyQo66N7KMZ61XaRxUGhWzV6u1gmOIOzLJgBAKI+HyoaWqyx1ElEjm7UTduGAo/hCgxLpeLX3/9FQsWLMD69evZMWwqKysrQ1JSEhwdHaGnpwfg7aznbdu2Rdu2bWs8tkAgwOvXr6sEo8qPX7161WwCUnJyMm7fvo3u3bujVYf2MHCwR3GydH1/1HR02Jnvy8rKEB0dLb9ClUBaWhqePXsGOzs7GHf1gE6bNniTlVX3jv9o8+FA9vHly5flUaJS4fF40NXVZUcEl4WatjbUNDXZ46iCytOfGDpwpRpyQsfaCpqGhvIsSwKFH0KagS5duuDXX39t1GNqaGjA2toa1tbWNW4jDkjVtR6JHytTQIqIiED37t0BAB1nfIZ7S5ZXucOkOh2mTYHGP/+VR0dHq8Rlrz179mDZsmUAAKshg5G2Y5dU+6q30mODYmlpKf73v//JqUrlkZqaCnNzc2ibmkKf2wW8R4+l3tf0PW/28ZMnT+RRntKJjY1l746zHDRIqvBTeTDWpkDhhxBSo8oBydPTs9ptKgekmi6xNVVAOnHiBBYtWoT27dtDv1NHOK9cjuTvfwS/sPoww9HQQIfPpqHNoA8AvJ1Tbfv27XKvUxns378fQUFB0NHRgdXQj1CY+AB512/Uug9HUxMOXwZBXVcXwNug2FSTwSrS/v374e39NsRYffQhHssQfqwGfyhxHFVw/vx5vHjxAjY2NjDp3g0mPbyQd/NWjdu36tAeloMG1rheHij8EEIaRNoWpOzs7DovsTV01vny8nJMnjwZR48ehZGREQwdHOC5bQtyLl9B1snTbyc2FYmgbW4GywHvw/KDARIdnRcuXIhHjx7V8gotR35+PsLCwhAUFASOmhocvlyEZ5G/Iyv2JIRlVVvL9NrboeOMz9Da+e0dh3l5eQgNDW3qshXi+PHjWLFiBYyNjWHWuxeyTp6W6pKqWd/eMLDnAgASExNx+3bdLSAtgUgkQnh4OFatWgUAsP9yEdJ2/oZXZ85J3FUJNTWYevdAp9mzqtypKm8chmnCHkbNgLijo6ura6Mfu7S0tErfDFI9OlfSaynnSigUSnWJTZqA5OzsjN27d6NNmzZV1jEiEThqkje6VlRUYNGiRS2+r091QkJCMHbsWPa5oLQU2RcuoSgpCaIKPrSMjWDu2xeGTo7sNqWlpRg/frzKvJkDwH//+18sWLAAACDg8ZD0/Y8oSqx5vj2zPr3RZf5ctr/P/PnzcfDgwaYoVSlwOBxs3LiRnWQYAPiFhci5+hfKc3KhaWAA0/d8oGNpUctRZCPL+zeFn3dQ+FEOdK6kp0rnqrqAVN0lNqFQCEtLS8ydOxejR4+GYQ0dKQUCAU6dOoWwsDDcvXu3ib8a5cDhcLB06VJ8/vnnUm2flZWFqVOnqtz50tDQwO7du+Hr+/auQEYkQn5cPLJiYpH/dzwgEr0daLSXD9oM/hCGjg7svpGRkQgODlZQ5fLH4XCgpqYm8ZnD4UBDQwMrV65sslHAKfw0AIUf5UDnSnp0riQJhUKJS2yvX7+Gubk5bGxs4ODggCdPnqCkpAQPHjxATEwMsrOzIRKJIBQKIRKJ2A/xc4Zhalz37vPmzNnZGZMmTcLIkSOr/TlKTk7G7t27cfDgQZQoYC4mZdCqVSts2bIFfn5+EssZkQii8nK2L1Rlz58/R9I/Y92IQ0HlgFD5cU0horrl4mEtalou6z7S1FDTuvpiGKZRp/yg8NMAFH6UA50r6dG5kp68z9W7gahycKrruTThqiHBTNraNDQ0YGtrC21tbVhYWMDCwgICgQAlJSXg8/kQCATg8/nsh0AgYJdJ+7mh+9a1jTxpaGhg+vTpmDp1qsoMWtjYysvL8ezZM9jY2EC3msBYX7K8f1OHZ0IIaSRqamrsf9fNnTgoGhgYNKtQLQ5xsgYmWYPa/v37YWdnB2dnZxgaGsLIyAh6enpQV1dX9ClQekKhEMXFxVBk2wuFH0IIIS2GuK+JhkbTvb1R62vz0zL+RSGEEEIIkRKFH0IIIYSoFAo/hBBCCFEpFH4IIYQQolIo/BBCCCFEpdA4P++Ii4sDwzDQ0tJq9GMzDAM+nw9NTc1GHdipJaJzJT06V9KjcyU9OlfSo3MlG3mdr4qKCnA4HHTr1q3ObelW93fI8weXw+HIJVS1RHSupEfnSnp0rqRH50p6dK5kI6/zJcuI09TyQwghhBCVQn1+CCGEEKJSKPwQQgghRKVQ+CGEEEKISqHwQwghhBCVQuGHEEIIISqFwg8hhBBCVAqFH0IIIYSoFAo/hBBCCFEpFH4IIYQQolIo/BBCCCFEpVD4IYQQQohKofBDCCGEEJVCs7o3gWfPnmHHjh1ISEjA48eP0bFjR/zxxx+KLkvpxMbG4tixY0hMTERRURHs7OwQEBCAUaNGST1Tr6q4dOkStm3bhpSUFPB4PFhaWmLAgAGYO3cuDAwMFF2eUispKcHgwYPx6tUrHDx4EK6uroouSalER0fjq6++qrI8MDAQQUFBCqhI+R0+fBgRERFITU2Fnp4eXF1dERYWBh0dHUWXpjQCAgJw8+bNatetW7cOQ4YMadJ6KPw0gcePH+PSpUtwd3eHSCQCwzCKLkkp/fbbb2jbti0WL14MY2Nj/PXXX1i+fDmysrIwd+5cRZenVAoKCuDm5oaAgAAYGRnh8ePHCA0NxePHj7Fz505Fl6fUNm3aBKFQqOgylN727dslgrSlpaUCq1FemzdvxrZt2zBr1ix4eHggPz8f165do5+xd6xYsQI8Hk9iWUREBE6fPg0fH5+mL4ghcicUCtnHwcHBzJAhQxRYjfLKzc2tsmzZsmVMt27dJM4hqd6BAwcYLpfLZGVlKboUpZWSksJ4eHgw+/btY7hcLnP37l1Fl6R0Dh06xHC53Gp/H4mk1NRUxsnJibl48aKiS2mW/Pz8mMDAQIW8NvX5aQJqanSapWFiYlJlmaOjI3g8HkpLSxVQUfNiZGQEAODz+YotRImtXr0a/v7+6NChg6JLIS1AdHQ02rVrB19fX0WX0uzExcUhPT0dw4YNU8jr07syUWp37tyBpaUl9PX1FV2KUhIKhSgvL0diYiJ+/fVX+Pn5oV27doouSymdPHkSjx49wpw5cxRdSrMwdOhQODo64v3338fWrVvpMk41EhISwOVysWnTJvj4+MDFxQX+/v5ISEhQdGlK748//oCenh7ef/99hbw+9fkhSuv27duIiYlBcHCwoktRWv3798erV68AAH369MEvv/yi4IqUU1lZGX744QcsXLiQgnQdzM3N8Z///Afu7u7gcDg4f/481q9fj1evXuHrr79WdHlKJTs7G/fv38ejR4+wYsUK6OrqYsuWLZg2bRpOnz4NU1NTRZeolAQCAWJjY+Hn5wc9PT2F1EDhhyilrKwsLFy4ED179sSkSZMUXY7SCg8PR1lZGVJSUrB582bMmjULu3btgrq6uqJLUyqbN2+GqakpRo0apehSlF6fPn3Qp08f9nnv3r2hra2NiIgIzJo1CxYWFgqsTrkwDIPS0lJs2LABDg4OAAB3d3f4+fkhMjIS8+fPV3CFyunq1avIy8vD0KFDFVYDXfYiSqeoqAiBgYEwMjJCaGgo9ZmqhYODA7p27YoxY8Zg06ZNuHHjBs6cOaPospRKRkYGdu7ciXnz5qG4uBhFRUVsH7LS0lKUlJQouELlN3jwYAiFQiQlJSm6FKViaGgIIyMjNvgAb/veOTk5ISUlRYGVKbc//vgDRkZG6N27t8JqoJYfolTevHmDmTNnori4GAcOHKAxa2Rgb28PTU1NPH/+XNGlKJX09HTw+XzMmDGjyrpJkybB3d0dUVFRCqiMNHedO3eu8fetvLy8iatpHt68eYOzZ89i+PDh0NTUVFgdFH6I0hAIBFiwYAGePHmCvXv30rgiMkpISACfz6cOz+9wdHTE7t27JZYlJSVhzZo1WLlyJQ1yKIWYmBioq6vDyclJ0aUolf79+yM6OhpJSUlwdHQEAOTn5yMxMRFTpkxRbHFK6vz58ygtLVXYXV5iFH6aQFlZGS5dugTgbRM8j8fDyZMnAQA9evSo9hZvVbRy5UpcuHABixcvBo/HQ3x8PLvOyckJWlpaiitOycydOxcuLi6wt7eHjo4OkpOTsWPHDtjb22PAgAGKLk+pGBoaomfPntWuc3Z2hrOzcxNXpNymT5+Onj17wt7eHgBw7tw5REVFYdKkSTA3N1dwdcplwIABcHV1xbx587Bw4UJoa2sjPDwcWlpamDBhgqLLU0rHjx+HtbU1PD09FVoHhZ8mkJubW6Xjm/j57t27a/zDrGquXr0KAPjhhx+qrDt37hy1aFTi5uaGmJgYhIeHg2EYtG3bFmPGjMH06dMpJJIG6dChAw4dOoSsrCyIRCK0b98eS5YsQUBAgKJLUzpqamoIDw/HmjVr8PXXX4PP56N79+7Yu3cvBcVqFBYW4sqVK5g8ebLCpyziMAzNtUAIIYQQ1UG30RBCCCFEpVD4IYQQQohKofBDCCGEEJVC4YcQQgghKoXCDyGEEEJUCoUfQgghhKgUCj+EEEIIUSkUfgghNbpx4wbs7e3ZEcmVXU5ODubNm8eOUPzbb7816Hh+fn5YvHhx4xTXzGzbtg0ffvghRCIRgLdzpNnb22PHjh217nf58mV07doVeXl5TVEmIfVC4YcQBYuOjoa9vT1cXV3x6tWrKusDAgIwdOhQBVTW/KxZswZXrlzBjBkzsHbtWvTp00fRJdWorKwMoaGhuHHjhqJLqYLH42H79u0IDAyEmppsbxN9+/aFra0ttm7dKqfqCGk4Cj+EKImKigqEh4cruoxm7fr163j//fcxffp0jBgxAp06dVJ0STUqKytDWFgYbt68qehSqjh48CAEAkG9Q/e4ceNw4MAB8Hi8Rq6MkMZB4YcQJeHo6IioqKhqW39autLS0kY5Tm5uLgwNDRvlWM1VY5zL6Oho+Pn5QVtbu177Dxo0CBUVFc3mcilRPRR+CFESM2fOhEgkwrZt22rdTtz3Ijo6uso6e3t7hIaGss9DQ0Nhb2+PtLQ0BAUFwdPTE97e3li/fj0YhkFmZiY+//xzdOvWDb169cLOnTurfU2RSIR169ahV69e8PDwwKxZs5CZmVllu4SEBEyfPh2enp5wd3fHxIkTcefOHYltxDWlpKRg0aJF8PLyqnMG7BcvXmDevHno0aMH3N3dMXbsWFy8eJFdL750yDAM9u7dC3t7e3ZW8pqIRCJERERg2LBhcHV1hbe3N6ZPn4579+7VuI+49neJXz89PZ1ddu/ePXaGdDc3N/j5+eGrr74C8PZ76OPjAwAICwtj6638vUtNTWW/ZldXV4wcORLnzp2r9nVv3ryJb775Bj4+PvD19QXw9tLVd999Bz8/P7i4uMDHxwdTp05FYmJireflxYsXePjwId57771atwMAhmGwfPlyuLi44PTp0+xyU1NT2NvbV6mXEGVBs7oToiTatWuHESNGICoqCoGBgbC0tGy0Yy9cuBCdOnXCokWLcOnSJWzevBlGRkbYv38/vL29ERQUhOPHj+PHH3+Eq6srvLy8JPbfvHkzOBwOAgMDkZubi4iICEyZMgVHjx6Fjo4OAODatWsIDAyEi4sL5s6dCw6Hg+joaEyePBm///473NzcJI45f/582NnZYeHChahtfuWcnBz4+/ujrKwMAQEBMDY2xuHDh/H5559j48aN+OCDD+Dl5YW1a9fiyy+/RK9evTBixIg6z8nSpUsRHR2Nvn37YvTo0RAKhbh9+zYSEhLg6upaj7P8r9zcXEyfPh3GxsaYMWMGDA0NkZ6ejjNnzgAATExM8M033+Cbb77BBx98gA8++AAA2GD1+PFjjB8/HpaWlggMDISenh5iY2MxZ84chIaGstuLrVy5EiYmJpgzZw7b8rNixQqcOnUKEydORKdOnVBQUIA7d+4gNTUVzs7ONdb+999/AwCcnJxq/RqFQiGWLFmCmJgYhIWFoV+/fhLrnZ2dcfbsWelPGiFNiSGEKNShQ4cYLpfL3L17l3n+/Dnj5OTErFq1il0/ceJEZsiQIezzFy9eMFwulzl06FCVY3G5XGbjxo3s840bNzJcLpdZvnw5u0wgEDB9+/Zl7O3tma1bt7LLCwsLGTc3NyY4OJhddv36dYbL5TJ9+vRhiouL2eUxMTEMl8tlIiIiGIZhGJFIxAwcOJCZNm0aIxKJ2O3KysoYPz8/ZurUqVVq+uKLL6Q6P9999x3D5XKZW7dusct4PB7j5+fH9O/fnxEKhRJf/8qVK+s85rVr1xgulytxnsUq19+/f3+J8yGu/V3i7+GLFy8YhmGYM2fOsN/TmuTm5lb5folNnjyZGTp0KFNeXi5R17hx45iBAwdWed3x48czAoFA4hienp5SnYt3hYSEMFwul+HxeBLLxT9327dvZ/h8PrNgwQLGzc2NuXLlSrXH2bJlC8PlcpmcnByZayBE3uiyFyFKxMbGBsOHD0dUVBRev37daMcdPXo0+1hdXR0uLi5gGEZiuaGhITp06IAXL15U2f/jjz+Gvr4++/zDDz+Eubk5Ll26BABISkrC06dPMWzYMOTn5yMvLw95eXkoLS2Fj48Pbt26xd4yLebv7y9V7ZcuXYKbmxu6d+/OLmvVqhXGjRuHjIwMpKSkSHcSKjl9+jQ4HA7mzp1bZR2Hw5H5eO8yMDAAAFy8eBF8Pl+mfQsKCnD9+nUMHjwYPB6PPZf5+fno3bs3nj59WqVf2NixY6Guri6xzNDQEAkJCTL3ISsoKICGhgZatWpV7Xo+n4/58+fj4sWLCA8PR+/evavdTtz3Kj8/X6bXJ6Qp0GUvQpTM7NmzcezYMYSHh2PZsmWNckxra2uJ5wYGBtDW1oaJiUmV5QUFBVX2t7Ozk3jO4XBgZ2eHjIwMAMDTp08BAMHBwTXWUFxcjNatW7PP27VrJ1XtL1++hLu7e5XlHTt2ZNdzuVypjiX2/PlzWFhYwMjISKb9pNWjRw8MGjQIYWFh+O2339CjRw8MGDAAw4YNg5aWVp21MQyDDRs2YMOGDdVuk5ubK3FZtLpzGRQUhMWLF6Nfv35wdnaGr68vPv74Y9jY2DToa9u6dStKS0uxbds29OzZs8btmH8uZTZGmCSksVH4IUTJVG79mTFjRpX1Nb2ZCIXCGo9Z3Vgt77YUiDG19L+piXifL7/8Eo6OjtVuo6enJ/G8vncSKZK0557D4WDjxo2Ij4/HhQsXcOXKFSxZsgS7du3CgQMHamxVAcC2kE2bNq3GcYpsbW0lnld3Lj/66CN0794dZ86cwdWrV7Fjxw5s27YNoaGhbKfo6hgZGUEgEIDH40m09on16dMHV65cwfbt29GzZ88av49FRUUAAGNj4xpfixBFofBDiBL6/PPPcezYsWrv/BK3nojfXMRevnwpt3qePXsm8ZxhGDx79oztoCtuTdDX15fqLiFZWFtbIy0trcryJ0+esOtlZWtriz///BMFBQUytf6IL+UUFRVJ3FJf07n38PCAh4cHFi5ciOPHjyMoKAgxMTEYM2ZMjUFKfC41NTUbfC4tLCzw6aef4tNPP0Vubi4++eQTbNmypdbwI25RS09Ph4ODQ5X17u7u8Pf3x8yZMzF//nyEhYVBQ6PqW0l6ejqMjY2rtC4Sogyozw8hSsjW1hbDhw/HgQMHkJ2dLbFOX18fxsbGuH37tsTy33//XW71HDlyRGLAupMnTyI7Oxt9+/YFALi4uMDW1hY7d+5ESUlJlf0bMtWBr68v7t69y96FBLwdyyYqKgpt27ZF586dZT7mwIEDwTAMwsLCqqyrreVL3OJy69YtiVqOHDkisV1hYWGV44hbxCoqKgAAurq6AKqGWFNTU/To0QMHDhyott+XNOdSKBSiuLi4ynEtLCzY169J165dAQD379+vcZv33nsPISEhuHLlCr788ssq/bkAIDExER4eHnXWSogiUMsPIUpq1qxZOHr0KNLS0tClSxeJdWPGjEF4eDiWLl0KFxcX3L59u9rWkcbSunVrTJgwASNHjmRvdbezs8PYsWMBvL2stnr1agQGBmLo0KEYOXIkLC0t8erVK9y4cQP6+vrYsmVLvV57xowZOHHiBAIDAxEQEIDWrVvjyJEjSE9PR2hoqMzTLwCAt7c3RowYgT179uDZs2fo06cPRCIR7ty5g549e2LixInV7terVy9YW1tj6dKlePLkCdTV1XHo0CEYGxtLtP4cPnwY+/btw4ABA2Bra4uSkhJERUVBX1+fDYw6Ojro3LkzYmNj0b59exgZGaFLly7gcrlYsWIFJkyYgGHDhmHs2LGwsbFBTk4O4uPjkZWVhWPHjtX69ZWUlMDX1xeDBg2Cg4MD9PT08Ndff+HevXt1zlVmY2MDLpeLa9euSXSIf9eAAQPw/fffIzg4GPr6+vj222/Zdbm5uXj48GGd4zcRoigUfghRUnZ2dhg+fDgOHz5cZd2cOXOQl5eHU6dOITY2Fn379sX27dvZgfMa26xZs/Dw4UOEh4ejpKQEPj4+WLFiBdt6AQA9e/bEgQMHsGnTJkRGRqK0tBTm5uZwc3PDuHHj6v3aZmZm2L9/P3766SdERkaivLwc9vb22LJlS5WxZWSxZs0a2Nvb4+DBg1i7di0MDAzg4uLCtnxUR1NTE2FhYVi5ciU2bNgAc3NzTJ48GYaGhuwAhsDbDs/37t1DTEwMcnJyYGBgADc3N/z8888SHY5Xr16NVatWYc2aNeDz+Zg7dy64XC46d+6MQ4cOISwsDIcPH0ZBQQFMTEzg5OSEOXPm1Pm16ejoYPz48bh69SpOnz4NhmFga2vLhqq6jBo1Chs2bMCbN2/YcZyqM2LECJSUlGDlypVo1aoV2+H99OnT0NLSwuDBg+t8LUIUgcPUp3cjIYSQFqu4uBgDBgxAUFAQxowZI/P+H3/8MXr06IElS5bIoTpCGo76/BBCCJFgYGCA6dOnY8eOHdX256nN5cuX8ezZM8ycOVNO1RHScNTyQwghhBCVQi0/hBBCCFEpFH4IIYQQolIo/BBCCCFEpVD4IYQQQohKofBDCCGEEJVC4YcQQgghKoXCDyGEEEJUCoUfQgghhKgUCj+EEEIIUSkUfgghhBCiUij8EEIIIUSl/B9qx31/Cfq5ngAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cgram.plot();" ] }, { "cell_type": "markdown", "id": "eight-canberra", "metadata": {}, "source": [ "`data` can be all data types supported by the selected backend (including `cudf.DataFrame` or `cupy.ndarray` with `cuML` backend)." ] }, { "cell_type": "markdown", "id": "second-worship", "metadata": {}, "source": [ "## Supported methods\n", "\n", "Clustergram currently supports K-Means, Mini Batch K-Means, Gaussian Mixture Model and SciPy's hierarchical clustering methods. Note tha GMM and Mini Batch K-Means are supported only for `scikit-learn` backend and hierarchical methods are supported only for `scipy` backend.\n", "\n", "Using K-Means (default):" ] }, { "cell_type": "code", "execution_count": 5, "id": "controlled-bristol", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:05.412609Z", "iopub.status.busy": "2023-07-18T21:25:05.412132Z", "iopub.status.idle": "2023-07-18T21:25:05.935204Z", "shell.execute_reply": "2023-07-18T21:25:05.934779Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K=1 skipped. Mean computed from data directly.\n", "K=2 fitted in 0.055 seconds.\n", "K=3 fitted in 0.066 seconds.\n", "K=4 fitted in 0.046 seconds.\n", "K=5 fitted in 0.052 seconds.\n", "K=6 fitted in 0.058 seconds.\n", "K=7 fitted in 0.065 seconds.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cgram = Clustergram(range(1, 8), n_init=10, method='kmeans')\n", "cgram.fit(data)\n", "cgram.plot();" ] }, { "cell_type": "markdown", "id": "mineral-quantum", "metadata": {}, "source": [ "Using Mini Batch K-Means, which can provide significant speedup over K-Means:" ] }, { "cell_type": "code", "execution_count": 6, "id": "abroad-struggle", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:05.939401Z", "iopub.status.busy": "2023-07-18T21:25:05.939201Z", "iopub.status.idle": "2023-07-18T21:25:06.511406Z", "shell.execute_reply": "2023-07-18T21:25:06.510789Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K=1 skipped. Mean computed from data directly.\n", "K=2 fitted in 0.071 seconds.\n", "K=3 fitted in 0.070 seconds.\n", "K=4 fitted in 0.071 seconds.\n", "K=5 fitted in 0.054 seconds.\n", "K=6 fitted in 0.060 seconds.\n", "K=7 fitted in 0.066 seconds.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cgram = Clustergram(range(1, 8), n_init=10, method='minibatchkmeans', batch_size=100)\n", "cgram.fit(data)\n", "cgram.plot();" ] }, { "cell_type": "markdown", "id": "seasonal-discount", "metadata": {}, "source": [ "Using Gaussian Mixture Model:\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "organic-prison", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:06.516274Z", "iopub.status.busy": "2023-07-18T21:25:06.515558Z", "iopub.status.idle": "2023-07-18T21:25:06.886047Z", "shell.execute_reply": "2023-07-18T21:25:06.885178Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K=1 fitted in 0.020 seconds.\n", "K=2 fitted in 0.024 seconds.\n", "K=3 fitted in 0.026 seconds.\n", "K=4 fitted in 0.030 seconds.\n", "K=5 fitted in 0.026 seconds.\n", "K=6 fitted in 0.031 seconds.\n", "K=7 fitted in 0.029 seconds.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cgram = Clustergram(range(1, 8), method='gmm')\n", "cgram.fit(data)\n", "cgram.plot();" ] }, { "cell_type": "markdown", "id": "extraordinary-employee", "metadata": {}, "source": [ "Using Ward's hierarchical clustering:" ] }, { "cell_type": "code", "execution_count": 8, "id": "italic-badge", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:06.889291Z", "iopub.status.busy": "2023-07-18T21:25:06.888543Z", "iopub.status.idle": "2023-07-18T21:25:07.080200Z", "shell.execute_reply": "2023-07-18T21:25:07.079798Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cgram = Clustergram(range(1, 8), method='hierarchical', linkage='ward')\n", "cgram.fit(data)\n", "cgram.plot();" ] }, { "cell_type": "markdown", "id": "postal-monkey", "metadata": {}, "source": [ "## Manual input\n", "\n", "Alternatively, you can create clustergram using `from_data` or `from_centers` methods based on alternative clustering algorithms.\n", "\n", "Using `Clustergram.from_data` which creates cluster centers as mean or median values:" ] }, { "cell_type": "code", "execution_count": 9, "id": "sexual-jacob", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:07.083721Z", "iopub.status.busy": "2023-07-18T21:25:07.083058Z", "iopub.status.idle": "2023-07-18T21:25:07.222551Z", "shell.execute_reply": "2023-07-18T21:25:07.221790Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy\n", "import pandas\n", "\n", "data = numpy.array([[-1, -1, 0, 10], [1, 1, 10, 2], [0, 0, 20, 4]])\n", "labels = pandas.DataFrame({1: [0, 0, 0], 2: [0, 0, 1], 3: [0, 2, 1]})\n", "\n", "cgram = Clustergram.from_data(data, labels)\n", "cgram.plot();" ] }, { "cell_type": "markdown", "id": "bound-permission", "metadata": {}, "source": [ "Using `Clustergram.from_centers` based on explicit cluster centers.:" ] }, { "cell_type": "code", "execution_count": 10, "id": "norman-thomson", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:07.226455Z", "iopub.status.busy": "2023-07-18T21:25:07.225956Z", "iopub.status.idle": "2023-07-18T21:25:07.390918Z", "shell.execute_reply": "2023-07-18T21:25:07.390560Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = pandas.DataFrame({1: [0, 0, 0], 2: [0, 0, 1], 3: [0, 2, 1]})\n", "centers = {\n", " 1: numpy.array([[0, 0, 0]]),\n", " 2: numpy.array([[-1, -1, -1], [1, 1, 1]]),\n", " 3: numpy.array([[-1, -1, -1], [1, 1, 1], [0, 0, 0]]),\n", " }\n", "cgram = Clustergram.from_centers(centers, labels)\n", "cgram.plot(pca_weighted=False);" ] }, { "cell_type": "markdown", "id": "equipped-enhancement", "metadata": {}, "source": [ "To support PCA weighted plots with clustergram created from centers you also need to pass data:" ] }, { "cell_type": "code", "execution_count": 11, "id": "amateur-seattle", "metadata": { "execution": { "iopub.execute_input": "2023-07-18T21:25:07.396932Z", "iopub.status.busy": "2023-07-18T21:25:07.396734Z", "iopub.status.idle": "2023-07-18T21:25:07.526086Z", "shell.execute_reply": "2023-07-18T21:25:07.525732Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = pandas.DataFrame({1: [0, 0, 0], 2: [0, 0, 1], 3: [0, 2, 1]})\n", "centers = {\n", " 1: numpy.array([[0, 0]]),\n", " 2: numpy.array([[-1, -1], [1, 1]]),\n", " 3: numpy.array([[-1, -1], [1, 1], [0, 0]]),\n", "}\n", "data = numpy.array([[-1, -1], [1, 1], [0, 0]])\n", "cgram = Clustergram.from_centers(centers, labels, data=data)\n", "cgram.plot(pca_weighted=True);" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.15" }, "vscode": { "interpreter": { "hash": "8d1b2c984ad473d756980598d6fae8279815dc9c89a9d51a262cfb04eba7ee8f" } } }, "nbformat": 4, "nbformat_minor": 5 }