{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib Examples\n", "======================\n", "\n", "[matplotlib](http://matplotlib.org/) is used to plot data. It is a powerful library that is interfaced to TRIQS.\n", "\n", "Goal of this tutorial\n", "---------------------\n", "\n", "This is an illustration of an **IPython notebook**. It will plot the functions\n", "\n", "$$ f(x) = e^x \\sin(5x) $$ and $$ f(x) = e^x \\cos(5x) $$\n", "\n", "Afterwards we'll see how to create and modify plots.\n", "\n", "Inline plots\n", "------------\n", "\n", "To access NumPy and matplotlib commands and to plot directly in the notebook, run:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "# change scale of all figures to make them bigger\n", "import matplotlib as mpl\n", "mpl.rcParams['figure.dpi']=100 " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The plot command takes the x coordinates as first argument\n", "# then the y coordinates. The third argument controls the\n", "# way points look on the plot\n", "\n", "xr = np.arange(0,3,0.1)\n", "yr1 = np.exp(xr) * np.sin(5*xr)\n", "yr2 = np.exp(xr) * np.cos(5*xr)\n", "\n", "plt.plot(xr, yr1, '-r', lw=3, label = 'red line')\n", "plt.plot(xr, yr2, 'xb', label = 'blue line')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Making the plot prettier\n", "------------------------\n", "\n", "We start off with the simplest example of a single plot.\n", "Note how you can change the line style, its width, the color and the symbols. The labels\n", "of the axis and their range is easily controlled." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(np.float64(-1.0), np.float64(2.0), np.float64(-0.2), np.float64(1.1))" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xr = np.arange(0,1,0.01)\n", "yr = np.sin(xr)\n", "plt.plot(xr,yr,'--b',lw=4)\n", "plt.plot([-0.5,1.5],[0.0,0.4],'-g^',label='a line')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "plt.ylabel(r'$\\int \\,dt\\, \\cos(t)$')\n", "plt.axis([-1,2,-0.2,1.1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Subplots\n", "--------\n", "\n", "When you want to create subplots, you first have to create a figure. Then with the command\n", "
\n",
    "subplot(l,m,i)\n",
    "
\n", "you can create an $l \\times m$ array of plots and select the $i$-th subplot." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'figure 2')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Aszd9JcNiIkRPlZoK9O4te/fodMCiRcBHH2W/J5gpcXICfvwRaN1alry2aSMF30Skzrlzsh/YhQuyEuuPP6QO0dQFBMjv4ukpK2sbNWIyZEyYCFGO0tJkSfxXX0lzsBUrgF69VEeVf+ztJfnp2lV+1w4dODJEpMr585IwXL0KvPKKNEYtXVp1VPmnalXZeJrJkPFhIkTZ0jQgOBhYtgywtpaCxY4dVUeV/2xsJNHr1ElGv95/n40XiQzt2jXpP3bjhowA7dwJFC+uOqr898orTyZDrBlSj4kQZWv0aGDOHDletsz4enbkJysr2YLj/feBR49kVRwLqIkM4++/pV7v0iXgpZeA7dsBDw/VUenPf5OhFi2A+/dVR2XZmAjREz77DJg0SY7nzzfPkaD/srEBvv4aeOcd2T/onXeAP/9UHRWReUtIAN58U9pZlCwpSZCnp+qo9O+VV6SAulAhKQZ/7z35EkZqMBGiLNatk20oANk6o18/tfEYkq2t9P4ICAASE2U12ZUrqqMiMk+PHkkCcOQI4OYmexSaU03Qs1SpItuGODgAP/8MdO8utYpkeEyEKMPu3UCXLnIcHCx9gyyNvT2waZPUKdy4Id9WOYdPlL80Tbotb90q3d5/+UVGSSxN/frAhg1Sh7lyJTBunOqILBMTIQIA/PUX0LKlTAu1aiXTY5aqUCF5Yy5eXHa2Tn9diCh/TJ0qexNaWclCjFq1VEekTvPm0pYEACZMAFatUhuPJWIiRLh1S6aBbt8G6tSRP0Rra9VRqVWypCRDLi7S/6N/f26cSJQfvvkGCA2V41mzpFjY0nXvLl2o04/37FEbj6VhImThHj8G2rWTRmZlykiTwQIFVEdlHKpUkZopKytZYj93ruqIiEzb0aNA585yPHiwdKwnER4uo/EpKbJY4+JF1RFZDiZCFi4sTJaKp3daNudlq3nx5psyjA8AQ4ZwWT1RXt26JR/wDx8CTZsC06erjsi4WFlJnVCNGtJS4O23ZQsg0j8mQhZs7drMWqBly4DKlZWGY7RCQjIbLrZtK+3/iSj3Hj+WPl2XL0uvoNWrOf2enfQvpJ6ewIkTsr0Rp+T1j4mQhfrzT5mLBmS+vk0btfEYs/Q91tJ3rH/nHeDBA9VREZmOESNko2MnJ1mVWaiQ6oiMV/HismO9tbUkjJyS1z8mQhbo3x/mTZoAEyeqjsj4OTjIPmTu7sCxY8CgQaojIjINa9cCM2bI8fLl5rGJqr699lrmaH1IiLQ2If1hImRhNE02Gb14EfDxkQaCHKLOHW9v+Yam0wFffimb0BJRzv76K3Oj5tBQ2b6GcmfwYFnI8vixNJ6MiVEdkfliImRhPv9c5qDt7YHvvgOKFFEdkWlp1Ciz6Vm/fsDJk0rDITJaDx9KTd29e8Drr0uPHMo9nU56LVWqJElQp07sPK0vTIQsyKFDmb0qpk8HqldXGo7JGjVKNom8f1++qd27pzoiIuPz0UdAVBRQrJiMpNrYqI7I9BQsKJ2nCxSQfdjSV7BS/mIiZCHi4zN3V2/dGvjwQ9URma70dvje3tJ5mq8lUVbffgvMmyfHX38tBcCUN76+mQXTH38MREaqjcccMRGyAJoG9Okjy75Ll5bmgDqd6qhMm7u7FIFaWckb/Zo1qiMiMg4XLwI9esjxiBHSi4teTNeuQPv20sKjfXvg7l3VEZkXJkIWYMkS6ZBsYyMf3ly6mj9eew0YPVqO+/WTHilEluzxY6BDBxmBrlePdUH5RacDFiwAypaV9xn2F8pfTITM3PnzsvoAACZNAl59VW085ubjj+U1jY/PbLpIZKmmTJGpGxcXqQuytVUdkflwcZEvsjY2sl/bV1+pjsh8mFwiNG/ePJQpUwYODg7w8/PDgQMHcjx32bJl0Ol0WS4ODg4GjFat1FTZ1ycpCQgIkOJFyl82NrJJbcGCsjnrlCmqIyJS4/DhzBWVc+fKNDzlrzp1gMmT5XjIEHa5zy8mlQitW7cOISEhGDt2LI4cOYJq1aohKCgIcXFxOd7HxcUFN2/ezLhctqD5i6lTgb17AWdnaWRmZVL/t01H2bKZxYxjxwJPyc2JzNKDB0DHjjI11qaNHJN+hIRIO4J796R2iKPQL86kPhpnzJiBXr16oVu3bqhYsSIWLFiAAgUKYMmSJTneR6fTwdPTM+PiYSG7ih49Kh/KADBnDr+d6VvnztIz5fFj+RC4f191RESGM2IEcPo04OUltSxcjKE/1tayN2T6KPTMmaojMn0mkwilpKTg8OHDCAwMzLjNysoKgYGBiHzKesJ79+6hdOnSKFmyJFq2bImTz+iAl5ycjISEhCwXU/PwoXwYpy+V79xZdUTmL72YsXhx6ab78ceqIyIyjK1b5csWACxdChQtqjYeS+DjA8yaJcejRskGrZR3JpMI3bp1C6mpqU+M6Hh4eCAmh97jr7zyCpYsWYLvv/8eK1euRFpaGurVq4dr167l+Dzh4eFwdXXNuJQsWTJffw9DGDUKOHUK8PAAFi7ktzNDKVxYOsEC8ib1xx9KwyHSuzt3gG7d5Lh/fyAoSG08lqR7d+Ctt4CUFFmokZKiOiLTZTKJUF74+/ujc+fOqF69OgICAvDdd9/Bzc0NCxcuzPE+YWFhiI+Pz7hcvXrVgBG/uN27M4dKv/pKurqS4TRtKm9Qmib/TUpSHRGR/gwdCty4AZQvz67Hhpa+BUfRotLBe/x41RGZLpNJhIoVKwZra2vExsZmuT02Nhaenp65egxbW1vUqFED586dy/Ece3t7uLi4ZLmYigcPpJFZ+odw8+aqI7JMM2YAJUoA584BI0eqjoZIP7ZskakwnU56lRUooDoiy+PpKaP+APDpp7KNEj0/k0mE7OzsUKtWLURERGTclpaWhoiICPj7++fqMVJTU3H8+HF4eXnpK0ylxo0Dzp6VgsXp01VHY7lcXTN7fMyeDezcqTYeovyWkCBN/QBg0CCgfn218Viyd9+VXerT0uSLMKfInp/JJEIAEBISgsWLF2P58uWIjo5Gv379kJSUhG7/P0nduXNnhIWFZZz/ySefYOvWrbhw4QKOHDmCjh074vLly+jZs6eqX0FvDh4EPvtMjhcsYPdo1Zo0AXr1kuNu3bgxK5mXESOAq1eldcSkSaqjodmzZYrs2DFOUeaFSSVC77//Pj777DOMGTMG1atXR1RUFLZs2ZJRQH3lyhXcvHkz4/w7d+6gV69eqFChApo1a4aEhATs3bsXFStWVPUr6EVKikyFpaXJPjRvv606IgIkMS1VSvZe4ioyMhc7dsiXLQD48kvAyUltPAS4uUkyBMi2JqdOqY3H1Og0jTuWPE1CQgJcXV0RHx9vtPVC48ZJoZybm/wBsEDaeGzdKitpdDpg3z6gbl3VERHlXVISULWqdDTu2xf44gvVEVE6TQNatAB++km2/dm9W3oOWbLcfn6b1IgQPenYscyh6blzmQQZmyZNpKeTpgE9e0pvJyJTNWqUJEGlSnEKxtik9zJzdpYvXem9nejZmAiZsMePZUrs8WOgVSvgvfdUR0TZmTFD5u+PH8+s4yIyNfv3Z06/LFokH7hkXEqUAKZNk+P0pJWejYmQCZs7VzY6dHUF5s9n40Rj5eaW2dtp/HjpPE1kSh49klVimiad6tk40Xj16gU0bCjb/KT/P6OnYyJkoq5eBUaPluOpU2XJPBmvjh2Bxo2B5GSgTx++OZFpmTVLpuGLFmVrDmNnZSWNFh0cgIgIYOVK1REZPyZCJmrQIFmSXa+e1J6QcUufv3d0lFU3S5eqjogody5dytzA+bPPWIdoCl56CRgzRo6HDgVu31Ybj7FjImSCvv8e2LQJsLGRD1cr/l80CWXLAp98IsdDhwI5bJFHZDQ0TfYQe/BAplu6dFEdEeXW0KFAxYrA339L3yfKGT9CTcy9e8DAgXI8dChQpYraeOj5BAcDNWsCd+/KMZEx27AB+PlnwM5OvnSxDtF02Nllbr/x5ZeynJ6yx0TIxIwdK/VBZcpkDn2S6bCxkfl7Kytg3Tpg2zbVERFl7+5dmYIHZM+8V15RGg7lQYMGsu0GIH2fuP1G9pgImZCjR6VoEZBVYtzk0DTVrAkMGCDH/fsDDx+qjYcoOyNHyvRt+fJAaKjqaCivpkyRuq6TJ6WVBz2JiZCJSE2V1UZpaUDbtkDTpqojohcxYYKs9Pvrr8y+H0TGIjIycxuNhQsBe3u18VDeFS2a2b/sk09kyx/KiomQiViwQDZWdXHJHBUi0+XikvntbNIk4Px5tfEQpXv8OLPFQ9euUiRNpq1zZ/n/+OCBjEKzfUdWTIRMwI0bQFiYHIeHs2eQuXj/faBRI+ktNGgQ35zIOMydK13QixThaKW50OlkXzhbW+CXX6QInjIxETIBw4YBiYmyYWefPqqjofyi00mtl52drMzZuFF1RGTpbt7M7Bn06afsGWROfH0za72Cg+UzhQQTISO3cyewenXmh6al7yZsbsqXB4YPl+PBg6U9ApEqw4cDCQnypSt9tRGZj5EjpZ/ZjRtSp0iCiZARe/Qoc3VRnz5ArVpq4yH9GDkS8PEBrl3LbLhIZGi7dsl2DDodMG8eG7WaIweHzI1zZ84ETp1SG4+x4D91IzZvHnDihFT9T5qkOhrSF0dHqcsA5M3pxAm18ZDlefRIimgB2aizdm218ZD+NG8OtGghRfEDB7I2EWAiZLRiYjLn6sPDpXCRzFezZsA778ibU79+fHMiw0r/0lWkCL90WYJZs6Qlwm+/AevXq45GPSZCRip9rr5OHc7VW4rPPwecnKQV/qpVqqMhS/HfAumiRdXGQ/pXtmzmSuShQ1mbyETICO3eDXz9NefqLU3JksDo0XI8bJgkwkT6xgJpyzR8uNQmXr/Owml+xBqZx48z5+p79pQRIbIcwcGykiwmhoXTpH8skLZcjo6ZhdMzZgDR0WrjUYn/7I3MggXAsWNA4cLA5MmqoyFDs7eXKTJA/stVHaQvLJCmt96Si6UXTjMRMiJxccDHH8vxpElsZmap3nwTaNlS3pzYcZr0hQXSBMgXLnt7ICLCcjtOMxEyIqGhQHy87E7eu7fqaEilmTMz35y+/VZ1NGRuWCBN6cqWzew4PWSIZRZOMxEyEpGRwNKlcjx3LjtIWzofn8w3p5AQIClJbTxkXlggTf82YkRm4fTEiaqjMTydpuVt4D0iIgIRERGIi4tDWlpalp8tWbIkX4IzBgkJCXB1dUV8fDxcXFz08hypqfKGdOQI0K0bYEYvH72ABw+AihWBS5eAUaMs8w2K8t+uXUBAgBRIHzjA2iASP/wgU/K2tlKn6uurOqIXl9vP7zyNCI0fPx5NmjRBREQEbt26hTt37mS50PNZtEiSoEKFZJiaCJBVHTNnyvG0acC5c2rjIdPHAmnKSYsW0nX60SPLK5zO04iQl5cXpk6dik6dOukjJqOi7xGhW7dkufSdO8CcOZl7ixEB8mbUtCnw66/yJrV5s+qIyJR9/rm0aChSBDh7lrVBlNX580ClSkByMvDNN0CbNqojejF6HRFKSUlBvXr18hzci5g3bx7KlCkDBwcH+Pn54cCBA089/5tvvoGvry8cHBxQpUoV/PzzzwaKNHfCwiQJqlYN6NtXdTRkbHQ6+fCytQV++omJEOVdbCwwZowch4czCaInlSsn9WOAZdUm5ikR6tmzJ1avXp3fsTzTunXrEBISgrFjx+LIkSOoVq0agoKCEBcXl+35e/fuRfv27dGjRw8cPXoUrVq1QqtWrXDCSHa1PHAA+OorOZ43D7CxURsPGadXXpE3JQAYPBh4+FBtPGSaQkOlQLp2bRZIU85CQ4HSpYGrVy2nl12epsYGDx6MFStWoGrVqqhatSpsbW2z/HzGjBn5FuC/+fn5oU6dOpj7/1t1p6WloWTJkhg4cCBC05fY/Mv777+PpKQkbP7X1+hXX30V1atXx4IFC3L1nPqaGktNBV59FTh0COjcGVi+PN8emszQvXuSEN24Ie3w0/tNEeVGZCSQPoi/bx/g56c2HjJumzbJJtB2dtJr6uWXVUeUN3qdGjt27BiqV68OKysrnDhxAkePHs24REVF5TXmp0pJScHhw4cRGBiYcZuVlRUCAwMRGRmZ7X0iIyOznA8AQUFBOZ4PAMnJyUhISMhy0YclSyQJcnEBpkzRy1OQGSlYEJg+XY4nTwYuX1YbD5mO1NTM2sPu3ZkE0bO1bAkEBQEpKZbR1DVPkzE7duzI7zie6datW0hNTYWHh0eW2z08PHD69Ols7xMTE5Pt+TExMTk+T3h4OMaPH//iAT9D+iDV+PGAp6fen47MwPvvyxYsO3fKjtGW2gWWns+XX8qqVFdXqQ0iehadTvYhq1wZ2LIlc2m9uWJDxf8ICwtDfHx8xuXq1at6eZ5Nm+SDjKvEKLd0OllZaG0t3aa3b1cdERm7f/4BRo6U4wkTAHd3tfGQ6ShfHvjoIzkODpa+ZuYq1yNCrVu3xrJly+Di4oLWrVs/9dzvvvvuhQP7r2LFisHa2hqxsbFZbo+NjYVnDkMqnp6ez3U+ANjb28Pe3v7FA34GnQ549129Pw2ZmSpVpA/M7NnS6+PPP2Uenyg7H38M3L4t/2769VMdDZmaUaOAr7+Wpq6ffiozGOYo1yNCrq6u0Ol0GcdPu+iDnZ0datWqhYiIiIzb0tLSEBERAX9//2zv4+/vn+V8ANi2bVuO5xOZgvHjATc34PRpGSEiys6RI8DChXI8Zw5XpdLzc3IC0tc+TZkifYbMkpYH9+/f1+7du5dx/eLFi9rMmTO1LVu25OXhcm3t2rWavb29tmzZMu3UqVNa7969tUKFCmkxMTGapmlap06dtNDQ0Izz9+zZo9nY2GifffaZFh0drY0dO1aztbXVjh8/nuvnjI+P1wBo8fHx+f77EOXVkiWaBmhawYKadv266mjI2KSmapq/v/wbad9edTRkytLSNK1RI/m31KKF6mieT24/v/OUCDVu3Fj74osvNE3TtDt37mgeHh5aiRIlNAcHB23+/Pl5echcmzNnjlaqVCnNzs5Oq1u3rrZv376MnwUEBGhdunTJcv769eu18uXLa3Z2dlqlSpW0n3766bmej4kQGaPUVE179VV+0FH2li+XfxtOTpp27ZrqaMjUnTqlaTY28m9q82bV0eRebj+/89RHqFixYti5cycqVaqEL7/8EnPmzMHRo0fx7bffYsyYMYiOjs7vgStlDLHpKlFeHDkizfE0DfjtN+B//1MdERmD+HjpORUbK9MZ6Z2CiV7E8OGy52HZssDJk4CDg+qInk2vfYTu378PZ2dnAMDWrVvRunVrWFlZ4dVXX8VlNjghMoiaNTMLYAcMkM0SicaPlySofHlZ7UOUH0aPBry9gQsXJCEyJ3lKhF566SVs2rQJV69exa+//oomTZoAAOLi4jhqQmRAEycCxYoBp07JSjKybCdPZv47mDOHKwop/zg7A599JseTJ8tKMnORp0RozJgx+Oijj1CmTBn4+fllrMLaunUratSoka8BElHOChfO7Ew+bpxswUGWSdOkpUJqqmyP8P/fT4nyTbt2QECA7HeYvv+hOchTjRAgXZtv3ryJatWqwcpK8qkDBw7AxcUFvr6++RqkSqwRImOXlgbUry97SLVvDyjYD5mMwPr10n3cwQGIjgbKlFEdEZmjEyeA6tUl4d6yRbbiMFa5/fzOcyJkKZgIkSlg4bRlu3cPqFABuHZNaoTGjFEdEZmzIUOAWbNkM9bjxwED9CDOE70WSxORcWHhtGWbPFmSIB8fYNgw1dGQuRs3DvDwAP76K7PhoiljIkRkJlg4bZnOns0sYp01C3B0VBoOWQBX18yVYxMnAnraktNgmAgRmYn/Fk5fv640HDIATZO95x49Apo2BVq0UB0RWYqOHYEGDYD794GhQ1VH82KYCBGZka5dgVdflZqR9J2jyXytXw9s3y41GnPmyGbORIag0wFz5wJWVsA338i/Q1PFRIjIjFhZAfPmyX/XrgV27FAdEelLQoIUrQLAyJFAuXJq4yHLU60a8OGHcjxwIJCSojaevGIiRGRmatYE+vaV4/RpEzI/Y8YAN2/Kyh1uo0GqTJgAuLkBp0+bbm0iEyEiM5ReOB0dDXz+uepoKL8dPSpTYYBMT5jCvk9kngoVyqxNHD/eNJu6MhEiMkP/LpweP56F0+YkLU1aJaSlAW3bsoM0qdelC+DnJ7WJplg4zUSIyEz9u3Cam2+ajy+/BPbvl72fZs5UHQ2R1CTOn59Zm7h1q+qIng8TISIzZWUFLFgAWFsDGzYAmzerjohe1N9/A6GhcvzJJ7IbOJExqFlTmrkCMmL54IHaeJ4HEyEiM1atWubmiP37y+gQma7hw4E7d+T/a/qHDpGxmDABKF4cuHBB6hRNBRMhIjM3dixQujRw5Yo0WiTT9McfwLJlcvzFF4CNjdJwiJ7g4iLF+wAwdSpw8qTaeHKLiRCRmXNykvl7QLZgOHpUaTiUB8nJQJ8+ctyzJ+DvrzYeopy0agW0bAk8fiz/ZtPSVEf0bEyEiCxAs2aywig1Vd6cUlNVR0TP49NPpRWCu3vmakAiYzVnjnwB27MH+Oor1dE8GxMhIgsxa5YMXR88mDlCRMbv1Clg0iQ5nj0bKFJEbTxEz1KyZGaN0PDhQEyM2niehYkQkYXw8pKRBQAYNQq4dk1tPPRsaWlAr17SHfytt2RUj8gUDBggK8nu3s1csGGsmAgRWZA+faS3UGIiMHiw6mjoWRYuBPbuBQoWlFE8bqpKpsLGBli0SNp4rFkD/Pqr6ohyxkSIyIJYWcmbk40N8N13wMaNqiOinFy/DowYIceTJ8t0A5EpqVULGDRIjvv2Nd72HUyEiCxMlSrAsGFy/OGHwO3bauOhJ2ma9H1KTJStC9J3+CYyNRMmSPuOS5eAkSNVR5M9JkJEFmjMGMDXV4oYhwxRHQ3913ffAd9/LyN3X34p3cGJTFHBgsDixXI8Z470wzI2TISILJCDA7BkidScrFgB/Pyz6ogo3e3bmV2jQ0OBypXVxkP0oho3Bnr0kOPu3YH799XG819MhIgslL9/5mhQ795AfLzaeEgMHiwjdb6+srqPyBx89pnsjXfunHS7NyYmkwjdvn0bHTp0gIuLCwoVKoQePXrg3jMqrxo2bAidTpfl0rdvXwNFTGT8JkwAXnpJCnPT64ZInU2bgJUrpah92TIZuSMyB4UKySpIAJgxA9i/X2k4WZhMItShQwecPHkS27Ztw+bNm7Fr1y707t37mffr1asXbt68mXGZOnWqAaIlMg0FCmR2fl28GNi+XW08luzWrcxtNIYPlyJpInPy1ltAx47SH6t7d9k6xhiYRCIUHR2NLVu24Msvv4Sfnx8aNGiAOXPmYO3atbhx48ZT71ugQAF4enpmXFxcXAwUNZFpeP11WaEEyD5WiYlq47FUAwcCcXFApUrcHJfM16xZslXMqVPAJ5+ojkaYRCIUGRmJQoUKoXbt2hm3BQYGwsrKCvufMb62atUqFCtWDJUrV0ZYWBjuP6NKKzk5GQkJCVkuRObu009lievly1xFpsKGDcDatbI6bNkywN5edURE+lG0aOYWP59+CuzbpzYewEQSoZiYGLi7u2e5zcbGBkWKFEHMUzYx+eCDD7By5Urs2LEDYWFh+Prrr9GxY8enPld4eDhcXV0zLiXZxYwsQMGCwPLlsorsq69k6TYZxt9/Z/YJCg0F/vV9j8gsvfsu0KGDTJF17qx+FZnSRCg0NPSJYub/Xk6fPp3nx+/duzeCgoJQpUoVdOjQAStWrMDGjRtx/vz5HO8TFhaG+Pj4jMvVq1fz/PxEpiQgAPjoIznu1QuIjVUbjyXQNHmt//5bGl2OHq06IiLDmDMHKF4c+OuvzA7qqtiofPKhQ4eia9euTz2nbNmy8PT0RFxcXJbbHz9+jNu3b8PT0zPXz+f3/9WH586dQ7ly5bI9x97eHvYclyYLNWECsGULcPy41Av98AP3t9KnL7+U0TdbW+nnxLceshSFC0svs6AgYO5coGVLIDBQTSxKEyE3Nze4ubk98zx/f3/cvXsXhw8fRq1atQAAv/32G9LS0jKSm9yIiooCAHh5eeUpXiJzZ28PrFol0zObN8sHda9eqqMyT2fOAMHBchweDlSvrjIaIsNr0kSmhRculOJpVYmQTtM0Tc1TP5+mTZsiNjYWCxYswKNHj9CtWzfUrl0bq1evBgBcv34djRo1wooVK1C3bl2cP38eq1evRrNmzVC0aFEcO3YMQ4YMQYkSJbBz585cP29CQgJcXV0RHx/PFWdkMaZPl2kyJycgKkp6DVH+SUkB6tUDDh8GGjUCtm6V3kFEliYpCTh9WjZozW+5/fw2mT+9VatWwdfXF40aNUKzZs3QoEEDLFq0KOPnjx49wpkzZzJWhdnZ2WH79u1o0qQJfH19MXToULz77rv48ccfVf0KRCZjyBCgYUN5k/rgA/ngpvwzdqwkQUWKSJE6kyCyVE5O+kmCnofJjAipwhEhslRXrsh0zZ07QEiIjBLRi/v9d+CNN6RQ+rvvgHfeUR0RkXkyuxEhIjKsUqWApUvleMYMgIOpLy42FmjfXpKgHj2YBBEZAyZCRJSjli0zC3q7dJFRIsqb1FSZZoyJke7Rn3+uOiIiApgIEdEzTJkiq8ju3JHRjEePVEdkmsaPB377TWoivvlG/ktE6jERIqKnsrMD1q0DXFyAvXuBjz9WHZHp+fVXYOJEOV60CKhQQW08RJSJiRARPVPZstL8DACmTpW9sSh3rl6V7QQ0DejbV6bHiMh4MBEiolx5911g6FA57toVOHFCaTgm4eFDoE0b4J9/gBo1gJkzVUdERP/FRIiIcu3TT6UBYFIS0KqV1A1R9jQN6N0bOHBAthP45hvAwUF1VET0X0yEiCjXbGykXqhMGeD8eZnmSU1VHZVxmj4d+PprwNpakqActjckIsWYCBHRcylaFNi4EXB0lA1ahw1THZHx+eWXzB21Z86UUTQiMk5MhIjouVWvntlsceZMYN48peEYlVOnpM1AWhrQsycwYIDqiIjoaZgIEVGevP8+MGmSHA8aJLvVW7rr14E33wTi44EGDSRB1OlUR0VET8NEiIjyLCxMtopISwPatQOOHFEdkTrx8UDTprJc/pVXgE2bpAcTERk3JkJElGc6HfDFF0BgoKwka95ciqgtTXKy7Bt2/Djg6Sm1U0WLqo6KiHKDiRARvRBbW2mwWKWK7KMVGAhcu6Y6KsNJTZV92HbsAAoWBH7+WVbVEZFpYCJERC/M1RXYuhV46SXg0iWgcWPg779VR6V/aWkyNbhunbQW+PZbaZxIRKaDiRAR5QtPT2D7dqBECeD0aaBJE+D2bdVR6U9aGtCnD7B8ufQKWrtWfmciMi1MhIgo35QuDUREAO7uQFQU8L//AXFxqqPKf2lpwMCBwJdfAlZWwMqVsgUJEZkeJkJElK/Klwd++01GiI4dAxo2BG7cUB1V/nn8GOjeHZg/X4rFly6VFXNEZJqYCBFRvqtUCdi5U6bJoqOBgACpHTJ16Zuopk+HLV8OdO6sOioiehFMhIhIL8qXB3btkhVU584Bfn6yAampunsXaNYM+P57wN4e+O47oFMn1VER0YtiIkREeuPjA+zZI1tyxMXJNNmmTYqDyoOzZyWR27EDcHaWPkFvv606KiLKD0yEiEivvL1lZKhZM+DBA6B1a2DyZCk4NgXbt0sSdPYsULKk/C4NG6qOiojyCxMhItI7Z2eZUurXD9A0YNQooEUL4J9/VEeWs9RUSdjefFOmxfz9gYMHZXSLiMwHEyEiMggbG1lp9dVXgIODdGCuWVOmzozNzZtAUJAkbKmpUhD922+Ah4fqyIgovzERIiKD6t4d2LdPulBfuQK89hoQEgLcv686MhmtWrlStguJiAAKFJDl8cuWSfJGROaHiRARGVy1asDhw7JHl6YBM2fKbT//LNdVuHBBdo/v1Emm7NJj7NpV+gURkXliIkRESri4yEjLzz8DxYvLEvvmzaUm58QJw8Vx6xYQHAz4+gK//ipL4ydNknogX1/DxUFEaphMIjRp0iTUq1cPBQoUQKFChXJ1H03TMGbMGHh5ecHR0RGBgYH466+/9BsoET2Xpk2BkyeBjz6Sney3bgWqVpXVZQcP6u95r10DQkOBcuWAzz8HHj2SvcKOHQNGjpRYiMj8mUwilJKSgvfeew/9+vXL9X2mTp2K2bNnY8GCBdi/fz+cnJwQFBSEhw8f6jFSInperq7AtGnShbpNG5ke27gRqFsXqFcPWLQIiI9/8ed59EhGoD74QHocTZkCJCTISrCtW2VEqHz5F38eIjIdOk1TNSOfN8uWLUNwcDDu3r371PM0TYO3tzeGDh2Kjz76CAAQHx8PDw8PLFu2DO1yuTlQQkICXF1dER8fDxcXlxcNn4hy4dQpYOpUYNUq2dsLkCmrgAAZtXnjDdnGw87u6Y+jabK1x86dwO+/A5s3Z12yHxAghdpvvSWbpxKR+cjt57eNAWMyqIsXLyImJgaBgYEZt7m6usLPzw+RkZE5JkLJyclITk7OuJ6QkKD3WIkoq4oVpX4oPFxWcS1bJsnR1q1yAWQ5/iuvyH5mnp6ywsvaWlaf3b4NXL8OnD4NJCZmfWx3d6BtWymCrlXLwL8YERkds02EYmJiAAAe/2n84eHhkfGz7ISHh2P8+PF6jY2IcsfLCxg2TOqH/p0I7dsnTQ5PnpTL09jYyBRbQADQqJH818Zs3/mI6HkpfTsIDQ3FlClTnnpOdHQ0fA24dCMsLAwhISEZ1xMSElCyZEmDPT8RPUmnk6mwSpWAIUNkyuvaNUmObt6US3KyND90dASKFJHmh76+Ugz9rCk0IrJcShOhoUOHomvXrk89p2zZsnl6bE9PTwBAbGwsvLy8Mm6PjY1F9af0yLe3t4e9vX2enpOIDEOnk32/+B2FiF6U0kTIzc0Nbm5uenlsHx8feHp6IiIiIiPxSUhIwP79+59r5RkRERGZL5NZJ3HlyhVERUXhypUrSE1NRVRUFKKionDv3r2Mc3x9fbFx40YAgE6nQ3BwMCZOnIgffvgBx48fR+fOneHt7Y1WrVop+i2IiIjImJhMyeCYMWOwfPnyjOs1atQAAOzYsQMNGzYEAJw5cwbx/2o2Mnz4cCQlJaF37964e/cuGjRogC1btsCBmwYRERERTLCPkKGxjxAREZHpsfg+QvklPU9kPyEiIiLTkf65/azxHiZCz5D4/93YuISeiIjI9CQmJsLV1TXHn3Nq7BnS0tJw48YNODs7Q6fT5dvjpvcnunr1Kqfc9IyvtWHwdTYMvs6Gw9faMPT1OmuahsTERHh7e8PqKXvocEToGaysrFCiRAm9Pb6Liwv/wAyEr7Vh8HU2DL7OhsPX2jD08To/bSQoncksnyciIiLKb0yEiIiIyGIxEVLE3t4eY8eO5XYeBsDX2jD4OhsGX2fD4WttGKpfZxZLExERkcXiiBARERFZLCZCREREZLGYCBEREZHFYiJEREREFouJkCLz5s1DmTJl4ODgAD8/Pxw4cEB1SGYlPDwcderUgbOzM9zd3dGqVSucOXNGdVhm79NPP4VOp0NwcLDqUMzS9evX0bFjRxQtWhSOjo6oUqUKDh06pDoss5KamorRo0fDx8cHjo6OKFeuHCZMmPDM/aro2Xbt2oUWLVrA29sbOp0OmzZtyvJzTdMwZswYeHl5wdHREYGBgfjrr7/0HhcTIQXWrVuHkJAQjB07FkeOHEG1atUQFBSEuLg41aGZjZ07d6J///7Yt28ftm3bhkePHqFJkyZISkpSHZrZOnjwIBYuXIiqVavq/bl+//136HQ6bNiwId8e89KlS9DpdFi2bFm+PWZ+unPnDurXrw9bW1v88ssvOHXqFKZPn47ChQurDs2sTJkyBV988QXmzp2L6OhoTJkyBVOnTsWcOXNUh2bykpKSUK1aNcybNy/bn0+dOhWzZ8/GggULsH//fjg5OSEoKAgPHz7Ub2AaGVzdunW1/v37Z1xPTU3VvL29tfDwcIVRmbe4uDgNgLZz507VoZilxMRE7eWXX9a2bdumBQQEaIMHD9br8+3YsUMDoH3zzTf59pgXL17UAGhLly597vvu2bNHGzt2rHbnzp1cnf/tt99qbdu21Xx8fDRHR0etfPnyWkhIyFPvP2LECK1BgwbPHRs9n+bNm2vdu3fPclvr1q21Dh06KIrIPAHQNm7cmHE9LS1N8/T01KZNm5Zx2927dzV7e3ttzZo1eo2FI0IGlpKSgsOHDyMwMDDjNisrKwQGBiIyMlJhZOYtPj4eAFCkSBHFkZin/v37o3nz5ln+XVuSvXv3Yvz48bh7926uzu/duzeio6PRsWNHzJ49G2+++Sbmzp0Lf39/PHjwINv7/PDDD6hduzbee+89uLu7o0aNGli8eHE+/hYEAPXq1UNERATOnj0LAPjzzz+xe/duNG3aVHFk5u3ixYuIiYnJ8h7i6uoKPz8/vX82ctNVA7t16xZSU1Ph4eGR5XYPDw+cPn1aUVTmLS0tDcHBwahfvz4qV66sOhyzs3btWhw5cgQHDx5UHYrJ2LBhAxo2bJjltlq1aqFLly5YtWoVevbs+cR9Lly4gC+++AIhISEYOXIkDh48iEGDBsHOzg5dunQxUOTmLzQ0FAkJCfD19YW1tTVSU1MxadIkdOjQQXVoZi0mJgYAsv1sTP+ZvnBEiMxe//79ceLECaxdu1Z1KGbn6tWrGDx4MFatWgUHB4ennpuYmIjg4GCUKVMG9vb2cHd3R+PGjXHkyJGMc8qUKYOuXbs+cd+GDRs+kTgAUtg6cuRIeHp6wsnJCW+//TauXr36xH0rV66Mw4cPo169enB0dISPjw8WLFiQq9/xt99+w2uvvQYnJycUKlQILVu2RHR0dMbPx40bh2HDhgEAfHx8oNPpoNPpcOnSpRwfM7vf5Z133gGALI/9b2lpaahZsyYmT56MGjVqoHfv3ujVq1eufw/KnfXr12PVqlVYvXo1jhw5guXLl+Ozzz7D8uXLVYdGesIRIQMrVqwYrK2tERsbm+X22NhYeHp6KorKfA0YMACbN2/Grl27UKJECdXhmJ3Dhw8jLi4ONWvWzLgtNTUVu3btwty5c5GcnAxra2sAQN++fbFhwwYMGDAAFStWxD///IPdu3cjOjo6y/2fx6RJk6DT6TBixAjExcVh1qxZCAwMRFRUFBwdHTPOu3PnDpo1a4a2bduiffv2WL9+Pfr16wc7Ozt07949x8ffvn07mjZtirJly2LcuHF48OAB5syZg/r16+PIkSMoU6YMWrdujbNnz2LNmjWYOXMmihUrBgBwc3N7rt8l/Vtv+v3/y8vLCxUrVsxyW4UKFfDtt98+1/PQ0w0bNgyhoaFo164dAKBKlSq4fPkywsPDOfKmR+mff7GxsfDy8sq4PTY2FtWrV9frczMRMjA7OzvUqlULERERaNWqFQD5phcREYEBAwaoDc6MaJqGgQMHYuPGjfj999/h4+OjOiSz1KhRIxw/fjzLbd26dYOvry9GjBiRkQQBwE8//YRevXph+vTpGbcNHz78hZ7/9u3biI6OhrOzMwCgZs2aaNu2LRYvXoxBgwZlnHfjxg1Mnz4dISEhAIA+ffrAz88PYWFh6NSpE2xtbbN9/GHDhqFIkSKIjIzMqC9r1aoVatSogbFjx2L58uWoWrUqatasiTVr1qBVq1YoU6ZMnn6XKVOmwNraGm3atMn25/Xr13+iBcTZs2dRunTpPD0fZe/+/fuwsso6WWJtbY20tDRFEVkGHx8feHp6IiIiIiPxSUhIwP79+9GvXz+9PjenxhQICQnB4sWLsXz5ckRHR6Nfv35ISkpCt27dVIdmNvr374+VK1di9erVcHZ2RkxMDGJiYnIsRKW8cXZ2RuXKlbNcnJycULRo0SfqsQoVKoT9+/fjxo0b+fb8nTt3zkiCAKBNmzbw8vLCzz//nOU8Gxsb9OnTJ+O6nZ0d+vTpg7i4OBw+fDjbx7558yaioqLQtWvXLEX2VatWRePGjZ94jhexevVqfPXVVxg6dChefvnlbM8ZMmQI9u3bh8mTJ+PcuXNYvXo1Fi1ahP79++dbHAS0aNECkyZNwk8//YRLly5h48aNmDFjRsbUJeXdvXv3EBUVhaioKABSIB0VFYUrV65k9B+bOHEifvjhBxw/fhydO3eGt7d3xqCB3uh1TRrlaM6cOVqpUqU0Ozs7rW7dutq+fftUh2RWAGR7ycvSaHo+OS2fX7dunebg4KBZWVlpderU0caOHaudP38+yzmlS5fWunTpku1jBgQEZFxPXz6/ZMmSJ8597bXXtFdeeSXLfUuVKvXEeRERERqAjKW5/10+HxkZqQHQvvrqqyfuGxwcrAHQ7t27p2mapk2bNk0DoF28ePGJc59l165dmoODgxYUFKQ9evToqef++OOPWuXKlTV7e3vN19dXW7Ro0XM/Hz1dQkKCNnjwYK1UqVKag4ODVrZsWW3UqFFacnKy6tBMXvrf7X8v6X/zaWlp2ujRozUPDw/N3t5ea9SokXbmzBm9x8WpMUUGDBjAqTA90tgFVpnff/8929vbtm2L1157DRs3bsTWrVsxbdo0TJkyBd99913G0mSdTpftfVNTU7NMs5mLP//8E2+//TYqV66MDRs2wMbm6W/Jb731Ft566y0DRWeZnJ2dMWvWLMyaNUt1KGanYcOGT31v1ul0+OSTT/DJJ58YMCpOjRGRAXl5eeHDDz/Epk2bcPHiRRQtWhSTJk3K+HnhwoWz7cVz+fLlbB/vv+33NU3DuXPnnqjTuXHjxhNdxdP7xORU05Nee5Pd1iynT59GsWLF4OTkBCDnBO5pzp8/jzfffBPu7u74+eefUbBgwed+DCJ6cUyEiEjvUlNTM5papnN3d4e3tzeSk5MzbitXrhz27duHlJSUjNs2b978xJL4dCtWrEBiYmLG9Q0bNuDmzZtPNL97/PgxFi5cmHE9JSUFCxcuhJubG2rVqpXtY3t5eaF69epYvnx5luTsxIkT2Lp1K5o1a5ZxW3pClNuGijExMWjSpAmsrKzw66+/PvcKMyLKP5waIyK9S0xMRIkSJdCmTRtUq1YNBQsWxPbt23Hw4MEsq8h69uyJDRs24M0330Tbtm1x/vx5rFy5EuXKlcv2cYsUKYIGDRqgW7duiI2NxaxZs/DSSy+hV69eWc7z9vbGlClTcOnSJZQvXx7r1q1DVFQUFi1alOOKMQCYNm0amjZtCn9/f/To0SNj+byrqyvGjRuXcV56MjVq1Ci0a9cOtra2aNGiRUaC9F9vvvkmLly4gOHDh2P37t3YvXt3xs88PDzQuHHjZ76mRJRP9F6FREQWLzk5WRs2bJhWrVo1zdnZWXNyctKqVaumzZ8//4lzp0+frhUvXlyzt7fX6tevrx06dCjHYuk1a9ZoYWFhmru7u+bo6Kg1b95cu3z5cpbHCwgI0CpVqqQdOnRI8/f31xwcHLTSpUtrc+fOzXJeTnuNbd++Xatfv77m6Oioubi4aC1atNBOnTr1RNwTJkzQihcvrllZWT2zcBo5FPMDyPJ7EpH+6TSNVaVEZL4aNmyIW7du4cSJE6pDISIjxBohIiIislhMhIiIiMhiMREiIiIii8UaISIiIrJYHBEiIiIii8VEiIiIiCwWGyo+Q1paGm7cuAFnZ+c8tdEnIiIiw9M0DYmJifD29oaVVc7jPkyEnuHGjRsoWbKk6jCIiIgoD65evYoSJUrk+HMmQs/g7OwMQF5IFxcXxdEQERFRbiQkJKBkyZIZn+M5YSL0DOnTYS4uLkyEiIiITMyzylpMqlh6165daNGiBby9vaHT6bBp06Zn3uf3339HzZo1YW9vj5deegnLli3Te5xERERkGkwqEUpKSkK1atUwb968XJ1/8eJFNG/eHP/73/8QFRWF4OBg9OzZE7/++queIyUiIiJTYFJTY02bNkXTpk1zff6CBQvg4+OD6dOnAwAqVKiA3bt3Y+bMmQgKCtJXmERERGQiTCoRel6RkZEIDAzMcltQUBCCg4NzvE9ycjKSk5MzrickJOgnuAULgC1bACcnoGBBwMsL8PEBfH2B6tUBe3v9PC8RmS9NA65dA/78Ezh7FrhxA4iLA1JSgNRUoEABoEgReb/x9QUqVgTKlQPYGoQsmFknQjExMfDw8Mhym4eHBxISEvDgwQM4Ojo+cZ/w8HCMHz9e/8EdPgx8/332P7O1BWrVApo1A95+G6halW9URJS9u3eBn38Gtm6Vy82bz3d/T08gIABo3Bho3RooXFgvYRIZK7NOhPIiLCwMISEhGdfTl9/luy5dgNq1gaQkIDFRvsVdvCjf5G7dAvbtk8uYMcBLLwG9ewNduwJubvkfCxGZlrQ0YNs2YNkyYONG4F+j2LCxyRztKVEC8PAAHB0BKyt5v/nnH+DKFeDMGeDkSSAmBli3Ti79+gFBQUCPHkCLFoC1tbJfkchQzDoR8vT0RGxsbJbbYmNj4eLiku1oEADY29vD3hDTUg0ayOW/NE0Sot9+A378Ud7szp0Dhg8HPv4Y6NwZGDlSptGIyLI8egSsXQtMmSJJTLqKFYG33pIkpl49wMEhd4/38CGwfz/w++/Ad98Bx44BmzfLpVw5IDhYkqIc3i+JzIFJrRp7Xv7+/oiIiMhy27Zt2+Dv768oolzQ6YCyZYGePWXqLC4OWLwYqFNH5vm//BIoXx7o1Uvm/4nI/GkasGGDjPR07ixJkIsL0L8/cOgQcOKEJEdvvJH7JAiQcwMCgLFjZTT65En50lWoEHD+PDBwoLzfLFsmNUZEZsikEqF79+4hKioKUVFRAGR5fFRUFK5cuQJAprU6d+6ccX7fvn1x4cIFDB8+HKdPn8b8+fOxfv16DBkyREX4eVOwoCRFBw4Ae/fKN77HjyUheuUVYPp0+ZZIROYpKkqSlffeAy5cANzdgcmTZXpr7lypJ8yvGsKKFSWhunoVmDMHKFlSpu27dQNq1pTpeiJzo5mQHTt2aACeuHTp0kXTNE3r0qWLFhAQ8MR9qlevrtnZ2Wlly5bVli5d+lzPGR8frwHQ4uPj8+eXyA979mian5+myfdETatUSdMOH1YdFRHlp4cPNe3jjzXN2lr+zh0dNW3sWE27d89wMdy/r2lTp2paoUISg06naQMHalpCguFiIMqj3H5+6zRN0xTmYUYvISEBrq6uiI+PN64tNtLSgOXLgREjgL//lgLJsWOB0FA5JiLTdewY0KGDTHkBwLvvAjNnygiNCrduAR99JO85AFCmDLBmDfDqq2riIcqF3H5+m9TUGP2LlZUMV586BbRpI9Nlo0cD//vf8y+fJSLjsWQJ4OcnSZCbG7B+vdQHqUqCAKBYMakT2rpVkqBLl4DXXpNptLQ0dXER5QMmQqauWDF5o/z6ayme3L0bqFED2LVLdWRE9Dzu3we6d5dVWg8fAk2bSvHye++pjixT48ZSs/T++/LlKzQUaNVKWoAQmSgmQuZApwM6dpTVI5UrA7GxsnpkwQLVkRFRbsTESEH00qUy2jtxoixhN8a+Ya6uMi22eLF0wP/xR1myf/Gi6siI8oSJkDl5+WVZ1fHBB7LUtV8/+cbGoWsi43XypNTaHDoEFC0qvcNGjZKEyFjpdLKaddcu2a7jxAlp8fHHH6ojI3puRvyXRnni5ASsXAmkbxMyZYqMFv278ywRGYcdO4D69YHLlzO/yLzxhuqocq9uXeDgQVnC/88/QJMmMkJEZEKYCJkjnU625li2TFaQrVkj7fLv31cdGRGl27xZ6oDi4yUZioyU7XRMTfHiMjL09ttS2/TOO/JljMhEMBEyZ126yGaMTk4y3N68OXDvnuqoiOi772SD0+RkKTbevl2mxUxVgQLAt98CnTrJtHynTsC8eaqjIsoVJkLmrnFj4NdfAWdn2U+oaVOu8CBSac0aoG1b6Qjfrp2s+nyebTGMlY2NjEIPGiTXBwwA5s9XGhJRbjARsgT168uIkKurLK9/803ZhZqIDOu776RmLzVVRmxXrgRsbVVHlX+srIBZs2SRBiB7oX35pdKQiJ6FiZCl8PMDIiJkM8W9ezOH5YnIMLZtA9q3l1Wc3bpJ40Rra9VR5T+dTvZCCwmR6717Z3akJjJCTIQsSa1aUjNUoIB0iE3/ZkpE+hUZKbVAKSnSIHHxYuNeHv+idDrgs89kekzTpFEkV5ORkTLjv0TKlr8/sGkTYGcnbfv79JE3KiLSj2PHgGbNZNVmUJBMh5njSNB/6XTA55/L6FdamnSj5u71ZISYCFmixo2lYNPKCvjqKxnGJqL8d/26JEF370qt3rffypcQS2FlBSxcKK/BgwfAW28BZ8+qjoooCyZClqp1a2DuXDn++GNg7Vq18RCZm3v3pH/X9etAhQrSN8jJSXVUhmdrC6xbB9SuLU0X33xTtgEiMhJMhCxZv36ZBY1duwJ79igNh8hspKbKVjdHj8p+YT/9JAsVLFXBgvIalCsne5KlN18kMgJMhCzd1KlSxJmcDLRsCZw/rzoiItM3dKgUBzs4AD/8APj4qI5IPXd3YMsWoEgR4MABWU3G+kQyAkyELJ21tRRvpu8V1LIlu08TvYglS6RIGABWrJANVUm89JI0kLS2Br7+GpgxQ3VEREyECFK38MMPgKen7ITdvTu/qRHlxcGDwIcfyvEnn8hSecqqUSNg5kw5Hj4c+OUXtfGQxWMiRMLbW5bT29oC33wDTJumOiIi0/L338C778o089tvA6NGqY7IeA0YAPTsKcvq27cH/vpLdURkwZgIUab69TOH9MPCpBMuET3b48eyb9jVq8DLL8uUmDk3THxROp1sylq/PhAfD7RpI8vriRTgXypl1bdvZgO0du2AK1dUR0Rk/EaNAn77TaaZN26Uff3o6ezspF7I3V2aTqZv1kpkYEyEKCudTnaMrl0buH1bhq0fPVIdFZHx2rRJVl8CwNKlQKVKSsMxKd7ewOrV8r7z5ZcykkZkYEyE6EkODtIAzcVFNmgdO1Z1RETG6coVWVwASE8uFkc/v0aNgHHj5LhvX+DECaXhkOVhIkTZK1tWvqEBQHg48OuvauMhMjaPHwMdOgB37gB16sjfCeXNxx8DTZpIndB777GFBxkUEyHK2XvvyTc0AOjUCbh5U208RMbkk0+A3bsBZ2fZu8+S9hDLb1ZW0s+seHHg9Glg8GDVEZEFYSJETzdjBlC1qiwN7thRtg4gsnQ7dgATJ8rxokWydQS9GDe3zHqhJUuknQeRATARoqdzdJR6oQIFZFXM9OmqIyJS69Yt+VKgaVIf1K6d6ojMx+uvS+sOQLbguHZNbTxkEUwuEZo3bx7KlCkDBwcH+Pn54cCBAzmeu2zZMuh0uiwXBwcHA0ZrJnx9gTlz5Pjjj4E//1QbD5Eqmgb06QPcuCF/F7Nnq47I/IwbJ6tW79wBOneWVh5EemRSidC6desQEhKCsWPH4siRI6hWrRqCgoIQFxeX431cXFxw8+bNjMvly5cNGLEZ6dZNuuU+eiT1Qtw5mizRypXAd98BNjYyjePkpDoi82NrK69tgQIyBfnZZ6ojIjNnUonQjBkz0KtXL3Tr1g0VK1bEggULUKBAASxZsiTH++h0Onh6emZcPDw8DBixGdHpgMWLZR7/+HFg9GjVEREZ1tWrsjUEIKMWNWooDcesvfxy5mjbxx8DR46ojYfMmskkQikpKTh8+DACAwMzbrOyskJgYCAiIyNzvN+9e/dQunRplCxZEi1btsTJkycNEa55cnfPXFI/fTqwc6faeIgMJS1NRkUTEmQ3+REjVEdk/rp3B1q3llHoLl1kDzciPTCZROjWrVtITU19YkTHw8MDMTEx2d7nlVdewZIlS/D9999j5cqVSEtLQ7169XDtKQV4ycnJSEhIyHKhf3n7baBHD6mV6NxZ9gkiMndz5wIRETJds2KFTI2Rful0wIIFMgp94oS0KyDSA5NJhPLC398fnTt3RvXq1REQEIDvvvsObm5uWLhwYY73CQ8Ph6ura8alZMmSBozYRMycCfj4SFfd4GDV0RDp1+nTmSNA06bJtA0Zhpsb8MUXcjxlCnDwoNp4yCyZTCJUrFgxWFtbIzY2NsvtsbGx8PT0zNVj2NraokaNGjh37lyO54SFhSE+Pj7jcvXq1ReK2yw5O8u3Yp0OWLYM2LJFdURE+vH4sUzLPHwING4M9OunOiLL8+67sudhairQtSsXalC+M5lEyM7ODrVq1UJERETGbWlpaYiIiIC/v3+uHiM1NRXHjx+Hl5dXjufY29vDxcUly4Wy0aBBZvfX3r2ldoLI3Hz+OXDggOwmv2SJJP9keHPmAB4ewKlTmfuSEeUTk0mEACAkJASLFy/G8uXLER0djX79+iEpKQndunUDAHTu3Blh6c24AHzyySfYunUrLly4gCNHjqBjx464fPkyevbsqepXMC8TJ8qeZFevsniUzM+5c7JiCZDFASVKqI3HkhUtCqSXNEybBuzbpzYeMismlQi9//77+OyzzzBmzBhUr14dUVFR2LJlS0YB9ZUrV3DzX/th3blzB7169UKFChXQrFkzJCQkYO/evahYsaKqX8G8ODllriJbsAD4/Xel4RDlm7Q0oGdPmYZp1Chzh3lSp2VL6WGWlsYpMspXOk3TNNVBGLOEhAS4uroiPj6e02Q56dtXvq2VLQscO8Ymc2T6Fi2SDtIFCkjfrLJlVUdEgHSbrlgRiImRXmZcSUZPkdvPb5MaESIjNXWqTBtcuMBGi2T6rl0DPvpIjidNYhJkTAoXllYGABAeLsvqiV4QEyF6cS4u8g0aAGbNAp7S4JLIqGmajHAmJkrjxIEDVUdE/9W6tUyTPX4s05epqaojIhPHRIjyR9OmssxY0+TNKSVFdUREz2/NGuCnnwA7O+CrrwBra9UR0X/pdMC8edLGY/9+YP581RGRiWMiRPlnxgxpgHbqFDdKJNPz99/AoEFyPHq01KKQcSpeHPj0UzkeOVJWrhLlERMhyj9FikjXaQCYMEGWHxOZitBQ4J9/gCpVgOHDVUdDz9K3L1CvHnDvHvDhhzIaTZQHTIQof33wARAYKEtb+eZEpiIyUhomAtIKws5ObTz0bFZWwOLFgK0tsHkzsH696ojIRDERovyl08neQPb2wLZtwNq1qiMierrUVKB/fznu1k1GGcg0VKwoU2OATGvevq02HjJJTIQo/730UmZH3uBg6f1BZKwWLgSOHgUKFcqsOyHTERYGVKgAxMXJMdFzYiJE+jFsWOabU2io6miIshcXB4waJceTJgHu7mrjoednby/TmYBMlXH7DXpOTIRIP/795rRoEbBnj9p4iLITGgrcvQvUqCGdpMk0vf56ZvuOfv2kxxBRLjERIv15/XWgRw857tOHvYXIuOzdCyxdKsfz57NnkKmbOlU6T0dFsbcQPRcmQqRfU6dKb6GTJ6XPEJExePw4s0C6Rw/pIk2mzd1dtt0ApEbxxg218ZDJYCJE+lWkCDB9uhxPmABcuaI2HiJApm2jomQEIf3Dk0xfr15A3bqyRcrQoaqjIRPBRIj0r2NH4LXXgPv3gZAQ1dGQpYuNzVzVOHmyjFiSebCykvYdVlbSumPbNtURkQlgIkT6l743kLU18O23wK+/qo6ILNmIEUB8PFCzpowgkHmpWTNz2rN/fyA5WW08ZPSYCJFhVKmSuY/TwIF8cyI1du8Gli+XYxZIm68JEwBPT+Cvv4Bp01RHQ0aOiRAZzrhxmW9O6XVDRIby7wLpnj0BPz+18ZD+uLpmLs6YNAm4cEFtPGTUmAiR4bi4ZO5KP3EicPmy2njIssyfDxw7xgJpS9GuHdCokex7OHCg6mjIiDERIsP64APpL/TgATBkiOpoyFLExgKjR8txeDhQrJjaeEj/0msTbW2Bn3+WjVmJssFEiAzr34XTGzcCv/yiOiKyBMOHAwkJQO3aMi1GluGVVzK/cA0eLKNDRP/BRIgMr3JleVMCpICahdOkT3/8AaxYIUk4C6Qtz8cfA97eUieUPjVP9C9MhEiNsWMBLy/g3Dm+OZH+/LtAulcvoE4dtfGQ4Tk7Z77HTJ7M2kR6AhMhUsPFJXPl2KRJwKVLSsMhMzVvHnD8uHQ4nzxZdTSkSrt2mbWJ7DhN/5GnROjq1au4du1axvUDBw4gODgYixYtyrfAyAK0awc0bMjCadKPmzeBMWPk+NNPgaJF1cZD6uh0wJw5mU1dt29XHREZkTwlQh988AF27NgBAIiJiUHjxo1x4MABjBo1Cp988km+BkhmTKcD5s4FbGyATZtkZQdRfkkvkK5TRzZWJctWtWrmNOnAgUBKitp4yGjkKRE6ceIE6tatCwBYv349KleujL1792LVqlVYtmxZfsZH5q5SpczC6cGDWThN+WPXLmDlysxVilasAiAA48fL3nKnT8sIERHymAg9evQI9vb2AIDt27fj7bffBgD4+vri5s2b+RcdWQYWTlN+evQo85t/794skKZMhQoBU6bI8bhxMn1KFi9PiVClSpWwYMEC/PHHH9i2bRvefPNNAMCNGzdQVM/z8PPmzUOZMmXg4OAAPz8/HDhw4Knnf/PNN/D19YWDgwOqVKmCnzn9Ynz+vapj0iSu6qAXM3cucOKE1ARNmqQ6GjI2XbrI9ir37sn0KVm8PCVCU6ZMwcKFC9GwYUO0b98e1apVAwD88MMPGVNm+rBu3TqEhIRg7NixOHLkCKpVq4agoCDExcVle/7evXvRvn179OjRA0ePHkWrVq3QqlUrnDhxQm8xUh61bw8EBEjhdEiI6mjIVN24ISOMAAukKXtWVpIs63QyffrHH6ojIsV0mqZpebljamoqEhISULhw4YzbLl26hAIFCsDd3T3fAvw3Pz8/1KlTB3PnzgUApKWloWTJkhg4cCBCQ0OfOP/9999HUlISNv+rtfqrr76K6tWrY8GCBbl6zoSEBLi6uiI+Ph4uLi7584tQ9o4fB2rUAFJTgV9/BZo0UR0RmZoOHYDVq4G6dYHISNYGUc769AEWLZIi6sOHZdEGmZXcfn7n+V3C2toajx8/xu7du7F79278/fffKFOmjN6SoJSUFBw+fBiBgYEZt1lZWSEwMBCRkZHZ3icyMjLL+QAQFBSU4/mkWJUqwIABcjxwIAun6fns3ClJUHoHaSZB9DSTJskGvMeOAQsXqo6GFMrTO0VSUhK6d+8OLy8vvP7663j99dfh7e2NHj164P79+/kdIwDg1q1bSE1NhYeHR5bbPTw8EBMTk+19YmJinut8AEhOTkZCQkKWCxnQ+PGAhwdw9iwwc6bqaMhU/LtAum9foFYttfGQ8StWLLOG7OOPgb//VhsPKZOnRCgkJAQ7d+7Ejz/+iLt37+Lu3bv4/vvvsXPnTgw18a6d4eHhcHV1zbiULFlSdUiWxdUVmDpVjidMAK5eVRsPmYY5c4CTJ+XDbeJE1dGQqejdG6heHbh7Fxg5UnU0pEieEqFvv/0WX331FZo2bQoXFxe4uLigWbNmWLx4MTZs2JDfMQIAihUrBmtra8TGxma5PTY2Fp6entnex9PT87nOB4CwsDDEx8dnXK7yg9jwOnUC6tcH7t9nO3x6tn8XSE+ZIttpEOWGtbUUTgPAV18Bz1iFTOYpT4nQ/fv3n5hyAgB3d3e9TY3Z2dmhVq1aiIiIyLgtLS0NERER8Pf3z/Y+/v7+Wc4HgG3btuV4PgDY29tnJHfpFzKwfzfB++YbtsOnp/voI1kK/eqrQNeuqqMhU1O/PtC5M6BpUqOYlqY6IjKwPCVC/v7+GDt2LB4+fJhx24MHDzB+/PinJhkvKiQkBIsXL8by5csRHR2Nfv36ISkpCd26dQMAdO7cGWFhYRnnDx48GFu2bMH06dNx+vRpjBs3DocOHcKA9IJcMl7VqgEffijHbIdPOdmxA1izhh2k6cVMmSL9zA4eBJYsUR0NGZqWB8eOHdO8vb21okWLam+88Yb2xhtvaEWLFtW8vb21EydO5OUhc23OnDlaqVKlNDs7O61u3bravn37Mn4WEBCgdenSJcv569ev18qXL6/Z2dlplSpV0n766afner74+HgNgBYfH58f4dPzuHNH09zcNA3QtKlTVUdDxiYlRdMqVJB/Hx9+qDoaMnUzZsi/paJFNe2ff1RHQ/kgt5/fee4jdP/+faxatQqnT58GAFSoUAEdOnSAo6NjPqZp6rGPkGJLlwLduwNOTsCZM0Dx4qojImPx2WfAsGFSIH32rCyFJsqrR4+kj9nJk0C/ftKCgUxabj+/85QIhYeHw8PDA927d89y+5IlS/D3339jxIgRzx+xkWIipFhamszh79sHtGsn0yBE164Bvr5AUpJMZfz/9DjRC9m5E2jYUKZaDx5kGwYTp9eGigsXLoSvr+8Tt6fvQUaUb6yspPZDpwPWrpWaEKKPPpIkyN9f9o4iyg8BAcAHH0jhdP/+LJy2EHlKhGJiYuDl5fXE7W5ubtx9nvJfzZrSJA+QVR2PHqmNh9SKiADWrctMklkgTflp2jQpnN6/X6bmyezl6R2kZMmS2LNnzxO379mzB97e3i8cFNETJk6UDTRPnZLmeWSZUlJkFSEgqwpr1FAbD5kfb2/pcA8AI0YAt2+rjYf0Lk+JUK9evRAcHIylS5fi8uXLuHz5MpYsWYIhQ4agV69e+R0jkTTJ+/RTOR43DuDIo2X6/HMgOhpwc5PO40T6MGAAUKkS8M8/sv0GmbU8FUtrmobQ0FDMnj0bKf/f38XBwQEjRozAmDFj8j1IlVgsbUTS0qQm5MAB2WV85UrVEZEh/btAetky1gaRfrFw2uTpddVYunv37iE6OhqOjo54+eWXYW9vn9eHMlpMhIzMoUNA3bpSzLhzJ/D666ojIkN57z1gwwagXj3gjz9YG0T616EDsHo14OcH7N3Lf3MmRq+rxtIVLFgQderUQeXKlc0yCSIjVLs2kD79OmAA8Pix2njIMLZskSTI2hr44gt+IJFhsHDaIvDdhEzP5MlSM3T8OJueWYKHDyXpBYBBg4CqVdXGQ5aDhdMWgYkQmZ6iRSUZAoDRo4HYWLXxkH5NnQqcPy8fSuPGqY6GLA0Lp80eEyEyTT17SvFiQoJ8UyPzdP58ZtI7cybAOj0yNFtb6VcFAAsWAIcPq42H8h0TITJN1taZb07Ll0shI5kXTZNv48nJQOPGUixNpAI7Tps1JkJkuvz8gB495Lh/fyA1VW08lL82bpQiaTs7YO5cWcZMpAoLp80WEyEybeHhQKFCQFSUDFuTebh3DwgOluPhw4Hy5ZWGQ/RE4fStW2rjoXzDRIhMm5ubbL8BSCFjXJzaeCh/TJgAXL0K+PgAI0eqjoZIDBgAVKkihdPDh6uOhvIJEyEyfX37AtWrA3fvAsOGqY6GXtTJk8CMGXI8ezbg6Kg2HqJ0trbAwoUyTbt0KfD776ojonzARIhMn7W1TIvpdMCKFcD27aojorzSNNlM9fFjoFUr4K23VEdElJW/v3z5AuS/yclq46EXxkSIzIOfnxRMA/Lm9OCB2ngob5YsAXbtAgoUAGbNUh0NUfYmTwY8PYEzZzI3gyaTxUSIzMekSUDx4tJ7hjuTm57YWOCjj+T4k0+A0qXVxkOUk0KFgM8/l+PJkyUhIpPFRIjMh4uLLLMGZKnr8eNq46HnM3iw1HnVrCnHRMbsvfeApk2BlBQZhc77/uWkGBMhMi+tWgHvvCM1Jr17s/GZqfjpJ2DdOqn3WrwYsLFRHRHR0+l00tTV0VGKplesUB0R5RETITI/c+ZI47N9+9hbyBTcuycF0gAwZIiMCBGZAh+fzP3vhg5lbyETxUSIzE/x4tJoEQBCQ4Hr19XGQ0/38cfAlStAmTLcVJVMz5AhQNWq0lto6FDV0VAeMBEi89S3r6wkS0wEBg5UHQ3l5MAB6RUEyOidk5PaeIie1797C61YIdvCkElhIkTmydoaWLRIak02bgS++051RPRfjx4BvXpJkWmHDkBQkOqIiPLm1VczC/x79wYSEtTGQ8+FiRCZr6pVM9vg9+snQ9dkPKZNA44dA4oWBWbOVB0N0YuZOBEoW1a2hhkxQnU09ByYCJF5GzMGqFhR9iAbNEh1NJTuxInMeqCZM2XPOCJT5uQEfPmlHC9YAOzYoTYeyjUmQmTe7O2BZcsAKytg9Wpg0ybVEdGjR0DXrvLfFi2Ajh1VR0SUP/73v8ztN3r2BJKS1MZDuWIyidDt27fRoUMHuLi4oFChQujRowfu3bv31Ps0bNgQOp0uy6Vv+j9Sshx16mROkfXtyyky1aZOBQ4fBgoXziwyJTIXU6YAJUsCFy4Ao0apjoZywWQSoQ4dOuDkyZPYtm0bNm/ejF27dqF3797PvF+vXr1w8+bNjMvUqVMNEC0ZnbFjgQoVZBsHdi1W5/hxYPx4OZ49G/DyUhsPUX5zcZGmoID8G9+zR2089EwmkQhFR0djy5Yt+PLLL+Hn54cGDRpgzpw5WLt2LW7cuPHU+xYoUACenp4ZFxcXFwNFTUbFwQFYulSmyFatAr7/XnVElue/U2IdOqiOiEg/goKAbt1kRWS3bpwiM3ImkQhFRkaiUKFCqF27dsZtgYGBsLKywv79+59631WrVqFYsWKoXLkywsLCcP/+/aeen5ycjISEhCwXMhN+fpmbenKKzPCmTAGOHOGUGFmG6dOluetffwHDhqmOhp7CJBKhmJgYuLu7Z7nNxsYGRYoUQUxMTI73++CDD7By5Urs2LEDYWFh+Prrr9HxGYWZ4eHhcHV1zbiULFkyX34HMhLjxwO+vkBMDNCnDzdKNJQjRzglRpalcGFZqAEAX3wB/PKL0nAoZ0oTodDQ0CeKmf97OX36dJ4fv3fv3ggKCkKVKlXQoUMHrFixAhs3bsT58+dzvE9YWBji4+MzLlevXs3z85MRcnAAVq6URovffgssX646IvN3/z7wwQeyEW7r1pwSI8sRGJhZk9i9O/ciM1JKt3geOnQounbt+tRzypYtC09PT8TFxWW5/fHjx7h9+zY8PT1z/Xx+fn4AgHPnzqFcuXLZnmNvbw97e/tcPyaZoFq1gE8+AUaOlO03XnsNyOHfA+WDjz4CzpyRUaBFizglRpYlPBzYuhWIjpZR6A0b+DdgZJQmQm5ubnDLRSM1f39/3L17F4cPH0atWrUAAL/99hvS0tIykpvciIqKAgB4cViehg+XPYF27QI6dZL/2ij9czBPmzfLtAAgo29Fi6qNh8jQHB1lFNrPT7b6WbEC6NJFdVT0LyZRI1ShQgW8+eab6NWrFw4cOIA9e/ZgwIABaNeuHby9vQEA169fh6+vLw4cOAAAOH/+PCZMmIDDhw/j0qVL+OGHH9C5c2e8/vrrqFq1qspfh4yBtbW8Ibm6ApGRwKRJqiMyP7GxMh0AAMHBQOPGSsMhUqZmTRmFBmQU+uJFtfFQFiaRCAGy+svX1xeNGjVCs2bN0KBBAyxatCjj548ePcKZM2cyVoXZ2dlh+/btaNKkCXx9fTF06FC8++67+PHHH1X9CmRsSpcG5s+X4wkTgH371MZjTjQN6NED+PtvoHJlmR4gsmTDhwP16wOJiUC7dkBKiuqI6P/pNI3LZp4mISEBrq6uiI+PZw8ic/XBB8CaNUCZMpnLu+nFTJ8utUF2dsDBg7IBLpGlu3wZqF4duHsXCAmRvxPSm9x+fpvMiBCR3syfD/j4AJcuZTZBo7yLjARCQ+V45kwmQUTpSpeWxq4AMGMGwBkKo8BEiKhQIeCbb2T04vvv5cOb8uaff4D335el8u+/D/TrpzoiIuPSqlXmkvquXQG2aFGOiRARIEvq0xOgESNkVIOeT1qarIa5ehV4+WUulSfKyZQp8p5z+zbQvr1sO0PKMBEiStevX+ZoRtu2bH72vKZPB376CbC3B9avl80niehJ9vbAunXyN7JnT+ZUMinBRIgonU4nu0aXLw9cuwZ07AikpqqOyjT89hsQFibHs2dLQSgR5axcOWDJEjmeMUMWbJASTISI/s3ZWeqFHB2BX3+V7tP0dBcvAu+9J0ljp05Ar16qIyIyDe++mzka1KMH8OefauOxUEyEiP6ratXMlR1TpwKrVqmNx5glJUnx5+3bQO3a3FWe6HlNnAgEBQEPHgDvvCMLDsigmAgRZef99zOnenr2BA4dUhuPMdI0aTdw7Bjg4QFs3CgjaUSUe9bWwOrVQNmyMrrarh2Lpw2MiRBRTiZOBN56C3j4UEY9bt5UHZFxmThRphFtbWUPpRIlVEdEZJqKFAE2bQKcnIDt22UbDvYzMxgmQkQ5sbKSzRJ9fYHr1yUpSkxUHZVxWLECGDNGjufNA+rVUxsPkamrUkVGhnQ6mWL+7DPVEVkMJkJET+PqKjuou7nJ9htt23LYOiJCCjsB2T+JxdFE+ePtt4FZs+R4+HBgwwal4VgKJkJEz1KunCRDBQoAW7YAffpY7rD18eNA69bSa6ldO26mSpTfBg2SqTFAVmHu3as2HgvARIgoN+rWlQZoVlayomzcONURGd6VK0DTpkBCAhAQACxbJq8HEeWvmTOBFi2kPrF5c1mQQHrDdzGi3HrrLeCLL+T4k0+kCZqluHEDeOMNqZWqUEFWiNnbq46KyDxZW0uDxXr1ZKf6Jk2Av/5SHZXZYiJE9Dx695YkCACGDpVCYXP3999AYCBw/jzg4wNs2wYULqw6KiLz5uQkW9ZUrw7Exsrf4JUrqqMyS0yEiJ7Xxx9n9hgaMAD46iu18ejT7dtA48ZAdLQsj4+IAIoXVx0VkWUoVEg63L/yiiRB//sfcPmy6qjMDhMhouel0wGTJgFDhsj1Xr2ABQvUxqQPMTFAw4bS9t/DQ5IgHx/VURFZFnd3GYUtWxa4cAF4/XUZnaV8w0SIKC90OtltfcAAWUHWrx8wZYrqqPLPlSvyhnv8OODlJZuqli+vOioiy1SyJLBzp/wNXrkiixXOnFEdVf65fVvp0zMRIsornU52Wk+fJgsNlYupL60/exZ47TUpzixTBvjjD6BiRdVREVm2EiUkGapUSRYtvPYasH+/6qhe3OzZ0qJE4co4JkJEL0KnAyZPzhwNmjIF6NxZlr2aoh07gFdflW+dvr6SBJUrpzoqIgIAT0/g99+BmjVlEUPDhrKC0xSlpcmCk8GDZWXcN98oC4WJEFF+GD4cWLxYlr2uXClLzWNjVUf1fJYskWW6d+5IMrRzJ/cPIzI2xYrJ32azZvKF6913pZWHKY1EJyTI/o3pLUjCwzNX4yrARIgov/TsKZ2nCxUCIiOlCeORI6qjeraUFCn87tFDOka3by8jQ+7uqiMjouwULAh8/z3Qt68kQEOHAh98ANy7pzqyZztzBvDzA378UXqRrVolJQU6nbKQmAgR5afAQJm3f/llmV7y9wfmzDHeb2uXLkmtQfr+RmPHyhuTg4PKqIjoWWxsgPnzZVTF2hpYuxaoUwc4dUp1ZDlbvVq+IJ4+LaPNu3dLAqcYEyGi/Fa+vCRDLVvKaMugQcA77xjXVJmmyZtSjRrAgQMyirVpk2wdovCbGRE9B51ORnN//x3w9pYEo04dYO5cqcExFvHxQMeOQIcOMi322mvAoUNA7dqqIwPARIhIPwoXliLG2bMBOzsZxq5QAVixQv3o0PXrkqR16CBFin5+wNGjchsRmZ4GDeRvODAQuH9fNm194w3j6De0aRNQubKMNFtbA+PHSzsODw/VkWVgIkSkLzqdvCHt3y9t8u/cAbp0kU7NUVGGj+fhQ1nVVrGizM/b2gITJsjKsDJlDB8PEeUfd3fpQj13LlCgQOZS+1Gj1NQOXbggX67eeQe4dk0aQv7xBzBmjEzrGREmQkT6Vr26TD+Fh0txYESELH/t0gW4eFH/z//oEfD117IcPjRUhqbr1pVvkB9/LAkREZk+Kyugf39phNqoEZCcLO09Xn5Z6okePNB/DDduSIPZV14BfvhB3l9GjpSY/P31//x5YDKJ0KRJk1CvXj0UKFAAhQoVytV9NE3DmDFj4OXlBUdHRwQGBuIv7uBLKtjaShISHQ20ayfTYytWAC+9BLz/viRK+T1lFh8PfP65PEfnzrJHUfHi8ryRkfJtkYjMT9mysi3Hxo3SBywmRhIkHx8ZFf777/x/zqgoWXlatqxsOfT4MRAUJLdPmiSjVEbKZBKhlJQUvPfee+jXr1+u7zN16lTMnj0bCxYswP79++Hk5ISgoCA8NNVmd2T6fHyANWtkuiwoSAoa16+XOp0qVWTU6Ny5vCdF9+/LjtXt20vzteBgWb3m7i7fDM+eBTp1km+ORGS+dDrp1XPypKxcLVVKFmyEhkph9TvvAN9+K1+Y8uryZVm19uqrsvBiyRIZhapfX6bmtmwxia70Ok1TXbn5fJYtW4bg4GDcvXv3qedpmgZvb28MHToUH330EQAgPj4eHh4eWLZsGdq1a5er50tISICrqyvi4+Ph4uLyouETZXXsGPDZZ8C6dbLCLF2pUrLTdN268kbi4wO4uWV+q0pLA/75R77pRUfLsPPu3cDevVkfp0IFWbXWpQvg6GjY342IjMejR1KwPG+erNhKZ20tU1b168s0vq+vJErFimV+YXrwQN5vLlyQPkAHD8r7TXR05uPY2ABt2sj7zauvGsXq09x+fpttInThwgWUK1cOR48eRfXq1TNuDwgIQPXq1fH5559ne7/k5GQkJydnXE9ISEDJkiWZCJF+3b0r385WrwZ27ZJh5eykFxmmpuY8alSypHwT7NJFapGM4A2JiIzIiRPA8uWyaOJpm7daW0sy9OhR9j+3spLNmdu0AVq3lg2ajUhuEyHjKt3ORzExMQAAj/8s0fPw8Mj4WXbCw8Mxfvx4vcZG9IRChWR+vUcPWeGxZ48MLZ84IUPb167JSM9/E6QiRaQGqEoVoFYtWT770ktMfogoZ5UrA9OmyeXSJaknOnIE+PNPGfWJi5MvWqmpcgEkKSpVSoqgq1SRJfv16wNFiyr9VfKD0kQoNDQUU9I3q8xBdHQ0fH19DRQREBYWhpCQkIzr6SNCRAZTsKDUDwUFZd6maZIgxcfLtzBra0mCuOKLiF5EmTJAr15Zb3v0SNp9PH4siZCrK+DsbLZfsJQmQkOHDkXXrl2fek7ZsmXz9Nienp4AgNjYWHj9a7guNjY2y1TZf9nb28Pe3j5Pz0mkNzqdvBE5O6uOhIjMna2tRe01qDQRcnNzg5ubm14e28fHB56enoiIiMhIfBISErB///7nWnlGRERE5stk1tBeuXIFUVFRuHLlClJTUxEVFYWoqCjc+1fHTF9fX2zcuBEAoNPpEBwcjIkTJ+KHH37A8ePH0blzZ3h7e6NVq1aKfgsiIiIyJiZTLD1mzBgsX74843qNGjUAADt27EDDhg0BAGfOnEH8v3oiDB8+HElJSejduzfu3r2LBg0aYMuWLXDgztpEREQEE1w+b2jsI0RERGR6LH75fH5JzxMTEhIUR0JERES5lf65/azxHiZCz5CYmAgAXEJPRERkghITE+Hq6prjzzk19gxpaWm4ceMGnJ2docvHHgrp/YmuXr3KKTc942ttGHydDYOvs+HwtTYMfb3OmqYhMTER3t7esHrK/oocEXoGKysrlChRQm+P7+Liwj8wA+FrbRh8nQ2Dr7Ph8LU2DH28zk8bCUpnMsvniYiIiPIbEyEiIiKyWEyEFLG3t8fYsWO5nYcB8LU2DL7OhsHX2XD4WhuG6teZxdJERERksTgiRERERBaLiRARERFZLCZCREREZLGYCBEREZHFYiKkyLx581CmTBk4ODjAz88PBw4cUB2SWQkPD0edOnXg7OwMd3d3tGrVCmfOnFEdltn79NNPodPpEBwcrDoUs3T9+nV07NgRRYsWhaOjI6pUqYJDhw6pDsuspKamYvTo0fDx8YGjoyPKlSuHCRMmPHO/Knq2Xbt2oUWLFvD29oZOp8OmTZuy/FzTNIwZMwZeXl5wdHREYGAg/vrrL73HxURIgXXr1iEkJARjx47FkSNHUK1aNQQFBSEuLk51aGZj586d6N+/P/bt24dt27bh0aNHaNKkCZKSklSHZrYOHjyIhQsXomrVqqpDMUt37txB/fr1YWtri19++QWnTp3C9OnTUbhwYdWhmZUpU6bgiy++wNy5cxEdHY0pU6Zg6tSpmDNnjurQTF5SUhKqVauGefPmZfvzqVOnYvbs2ViwYAH2798PJycnBAUF4eHDh/oNTCODq1u3rta/f/+M66mpqZq3t7cWHh6uMCrzFhcXpwHQdu7cqToUs5SYmKi9/PLL2rZt27SAgABt8ODBqkMyOyNGjNAaNGigOgyz17x5c6179+5ZbmvdurXWoUMHRRGZJwDaxo0bM66npaVpnp6e2rRp0zJuu3v3rmZvb6+tWbNGr7FwRMjAUlJScPjwYQQGBmbcZmVlhcDAQERGRiqMzLzFx8cDAIoUKaI4EvPUv39/NG/ePMu/a8pfP/zwA2rXro333nsP7u7uqFGjBhYvXqw6LLNTr149RERE4OzZswCAP//8E7t370bTpk0VR2beLl68iJiYmCzvIa6urvDz89P7ZyM3XTWwW7duITU1FR4eHllu9/DwwOnTpxVFZd7S0tIQHByM+vXro3LlyqrDMTtr167FkSNHcPDgQdWhmLULFy7giy++QEhICEaOHImDBw9i0KBBsLOzQ5cuXVSHZzZCQ0ORkJAAX19fWFtbIzU1FZMmTUKHDh1Uh2bWYmJiACDbz8b0n+kLEyEye/3798eJEyewe/du1aGYnatXr2Lw4MHYtm0bHBwcVIdj1tLS0lC7dm1MnjwZAFCjRg2cOHECCxYsYCKUj9avX49Vq1Zh9erVqFSpEqKiohAcHAxvb2++zmaKU2MGVqxYMVhbWyM2NjbL7bGxsfD09FQUlfkaMGAANm/ejB07dqBEiRKqwzE7hw8fRlxcHGrWrAkbGxvY2Nhg586dmD17NmxsbJCamqo6RLPh5eWFihUrZrmtQoUKuHLliqKIzNOwYcMQGhqKdu3aoUqVKujUqROGDBmC8PBw1aGZtfTPPxWfjUyEDMzOzg61atVCRERExm1paWmIiIiAv7+/wsjMi6ZpGDBgADZu3IjffvsNPj4+qkMyS40aNcLx48cRFRWVcalduzY6dOiAqKgoWFtbqw7RbNSvX/+JFhBnz55F6dKlFUVknu7fvw8rq6wfjdbW1khLS1MUkWXw8fGBp6dnls/GhIQE7N+/X++fjZwaUyAkJARdunRB7dq1UbduXcyaNQtJSUno1q2b6tDMRv/+/bF69Wp8//33cHZ2zphjdnV1haOjo+LozIezs/MTdVdOTk4oWrQo67Hy2ZAhQ1CvXj1MnjwZbdu2xYEDB7Bo0SIsWrRIdWhmpUWLFpg0aRJKlSqFSpUq4ejRo5gxYwa6d++uOjSTd+/ePZw7dy7j+sWLFxEVFYUiRYqgVKlSCA4OxsSJE/Hyyy/Dx8cHo0ePhre3N1q1aqXfwPS6Jo1yNGfOHK1UqVKanZ2dVrduXW3fvn2qQzIrALK9LF26VHVoZo/L5/Xnxx9/1CpXrqzZ29trvr6+2qJFi1SHZHYSEhK0wYMHa6VKldIcHBy0smXLaqNGjdKSk5NVh2byduzYke37cpcuXTRNkyX0o0eP1jw8PDR7e3utUaNG2pkzZ/Qel07T2C6TiIiILBNrhIiIiMhiMREiIiIii8VEiIiIiCwWEyEiIiKyWEyEiIiIyGIxESIiIiKLxUSIiIiILBYTISIiIrJYTISIiIjIYjERIiIiIovFRIiILEq/fv3QoEGDbH9WokQJfPrppwaOiIhU4u7zRGQxTp48iUWLFuGPP/7I9ucVKlRAVFSUYYMiIqU4IkREFmPatGmoU6cO6tWrl+3PixQpgpiYGANHRUQqMREiIovw+PFjfPfdd3j33XczbuvTpw+++uqrjOuJiYlwdHRUER4RKcJEiIgswvnz55GYmIgqVaoAANLS0vDNN9/A2dk545xjx46hYsWKqkIkIgWYCBGRRbh79y4AoGDBggCAX3/9FXfu3IGDgwMAYN++fbh+/TreeecdVSESkQIsliYii1C6dGnodDqsWbMGTk5O+Oijj9C8eXN8//33KFmyJPr27YvAwMAcV5QRkXnSaZqmqQ6CiMgQwsPD8emnn8LR0RGTJ09GrVq10LJlS9y6dQstWrTA/PnzUbhwYdVhEpEBMREiIiIii8UaISIiIrJYTISIiIjIYjERIiIiIovFRIiIiIgsFhMhIiIislhMhIiIiMhiMREiIiIii8VEiIiIiCwWEyEiIiKyWEyEiIiIyGIxESIiIiKLxUSIiIiILNb/AdprCHTsPLv3AAAAAElFTkSuQmCC", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xr = np.arange(0,10,0.01)\n", "plt.figure(1)\n", "plt.subplot(2,1,1)\n", "plt.plot(xr,np.sin(xr),'b')\n", "plt.title(\"subplot 1\")\n", "plt.ylabel('sin')\n", "plt.subplot(2,1,2)\n", "plt.plot(xr,np.cos(xr),'r')\n", "plt.title(\"subplot 2\")\n", "plt.ylabel('cos')\n", "plt.xlabel(r'$\\omega$',)\n", "plt.figure(2)\n", "plt.plot(xr,np.exp(-0.1*xr**2),label='some function here')\n", "plt.legend()\n", "plt.title(\"figure 2\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Histograms and text\n", "-------------------\n", "\n", "The example below shows how to create a histogram and how to add text in the plot.\n", "Note how $\\alpha = 0.3$ is used to control transparency." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu, sigma = 100, 15\n", "x = mu + sigma * np.random.randn(10000)\n", "xr = np.arange(50,150,0.1)\n", "\n", "plt.hist(x, 50, density=1, facecolor='r', alpha=0.3)\n", "plt.plot(xr,0.028*np.exp(-0.0025*(xr-100)**2),'b',lw=3)\n", "\n", "plt.xlabel('Smarts')\n", "plt.ylabel('Probability')\n", "plt.title('Histogram')\n", "plt.text(45, .025, r'$\\mu=100,\\ \\sigma=15$',fontsize=20)\n", "plt.axis([40, 160, 0, 0.03])\n", "plt.grid(True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Python-like approach to matplotlib\n", "----------------------------------\n", "\n", "Above, we have used a matlab-like commands to control the plot creation. Behind the curtains\n", "Matplotlib still works with Python objects, so that a figure is a Python object. Adding a plot\n", "in the figure is then done with the\n", "
\n",
    "add_axes\n",
    "
\n", "command. This creates an \"axes\" object (a plot). Calling the methods\n", "
\n",
    "set_title\n",
    "set_xlabel, ...\n",
    "
\n", "you can act on the different parts of the plot, etc. This approach is powerful and\n", "allows you to easily put an inset in your plot." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xr = np.arange(0,3,0.2)\n", "yr = np.tanh(xr)\n", "\n", "fig = plt.figure(1)\n", "ax = fig.add_axes([0., 0.8, 1.5, 0.9])\n", "ax.set_title(\"My axes\",fontsize=20)\n", "ax.set_xlabel(r'$x$',fontsize=20)\n", "ax.set_ylabel(r'$\\tanh(x)$',fontsize=20)\n", "ax.plot(xr,yr,'o')\n", "subax = fig.add_axes([0.45,0.85,1.,0.5])\n", "subax.plot(xr,np.sin(xr),'r',label='sinus')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More examples\n", "-------------\n", "\n", "Here are some additional examples. They summarize what is described\n", "above." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sBgAulSi1adMGnTt3RsmSJXHp0iV8+OGHePnll7F//364u7ubfE5kZCQmTZrk4Egd6/jx4wgMDMxc+q8vI5Ew53n3P4+7uzu2bNmCffv2YfPmzfjmm2/w0Ucf4eDBgyhZsiQKFSokmydlTv78+VGuXDlcvHgxs23jxo04e/Ys0tLSMocCDWUMAQYFBeXq5yAicikHDwKGK4ZbtVImFjtzqjlKz9OjRw906NABVatWRadOnbB27VocPnwYO3bsMPuccePGIT4+PvMWExNj8XVv37b+NmCA+fOeOWP6OZby9PREYmIiQkNDUaZMGdmtaNGi2T63bNmy8PX1xTbDvywAlC5dGl5eXti7d29mW2pqKg4fPoxKlSpltul0OjRs2BCTJk3CsWPH4OXlhVWrVgEAatasidOnTz/3Z0hKSsKlS5cQEhICADh69Ci6deuGH374Ac2bN8f48eNNPu/kyZMoVqyYbCI4ERE9h+H8pKpVgdBQZWKxM5fqUTJUqlQpFCpUCBcvXjQ5dAQA3t7e8Pb2ztV17NVZYavv9vr168Pf3x99+/bF+PHjkTdvXly8eBEbN27EV199le1zfXx8MGbMGIwePRpeXl5o2LAh7ty5g1OnTmHgwIEYMmQIRo0ahcDAQBQvXhzTp0/H48ePM4fHDh48iG3btqFVq1YoXLgwDh48iDt37qBixYoAgNatW2PcuHF48OBB5nAcAIwcORLt27dHeHg4bt68iYkTJ8Ld3R09e/bE1atX0bZtW3z44Yfo2bMnSpUqhYiICBw9ehS1atWSxb979260ctK/goiI7MYFygJkcOlE6fr167h3715mL4SrCgwMxPr16zFmzBi89NJLkCQJZcuWRb9+/XL0/PHjx8PDwwMTJkzAzZs3ERISgrfffhsAMHXqVKSnp6NPnz5ITExEnTp1sGnTpsykx9/fH7t27cJXX32FhIQEhIeH48svv8ycg1S1alXUqlULy5cvx+DBgzOvef36dfTs2RP37t1DUFAQGjVqhAMHDsDd3R1t2rRBx44dMXbsWAAiEXz55Zfx4YcfYqPenkRPnz7F6tWrZW1ERPQcd+8CBmVe4IBSO0rRSdJ/67CdQFJSUuYclZo1a2LmzJlo2rQpAgMDERgYiEmTJuG1115DcHAwLl26hNGjRyMxMREnTpzIca9RQkICAgICEB8fD39/f9l9T58+xZUrV1CyZEmTE5DJOuvWrcOoUaNw8uRJuLnZbrR47ty5WLVqFTZv3myzcxrie4KInM6yZUDPnlnHefIA9+8DuRx9sbfsvr+z41Q9Sv/88w+aNm2aefz+++8DAPr164e5c+fi33//xdKlS/Hw4UOEhoaiVatW+Oyzz3I9tEb21bZtW1y4cAE3btxAWFiYzc7r6emJb775xmbnIyJyCYbDbk2aqD5Jyg2nSpSaNGmC7DrINhn+45JmDB8+3ObnHDRokM3PSUTk1CQJMOyFd+L5SYCLrXojIiKiXDh5Erh5U97GRImIiIgIxsNu4eFAuXLKxOIgTJSIiIgoZwxXCbdpA+h0ysTiIEyU7MCJFhJSLvG9QERO49EjYPdueZuTD7sBTJRsytPTEwD3DaMsKSkpAGB2ixwiIs3YuRP47zMNAODuDjRrplw8DuJUq96U5u7ujvz58+P2f/uI5MmTBzon75Ik89LT03Hnzh3kyZMHHh78VSMijTOcnxQRAQQEKBOLA/HT28aCg4MBIDNZItfm5uaG4sWLM2EmIu1zoW1L9DFRsjGdToeQkBAULlwYqampSodDCvPy8rJpNXEiIkVcvQqcOydvc+JtS/QxUbITd3d3zkshIiLnYNibVKgQYLDJuLPin7pERESUPcNEqWVLwEV6y13jpyQiIiLrpKYC27bJ21xkfhLARImIiIiyc/AgkJAgb2vVSplYFMBEiYiIiMwzHHarXh0ICVEmFgUwUSIiIiLzXLQsQAYmSkRERGTa3bvAP//I25goEREREQHYsgXQ37MyTx6gYUPl4lEAEyUiIiIyzXDYrWlTwNtbmVgUwkSJiIiIjEkSsHmzvM3Fht0AJkpERERkyokTQGysvM1Fti3Rx0SJiIiIjBkOu5UsCZQpo0wsCmKiRERERMY2bpQft24N6HTKxKIgJkpEREQk9+gRsGePvM0F5ycBTJSIiIjI0I4dQEpK1rGHB9CsmWLhKImJEhEREckZzk9q0ADw91cmFoUxUSIiIiI5F9+2RB8TJSIiIspy5Qpw/ry8jYkSERERqZ0kAUlJorxRUpL5x02ZAmzfbuVFDHuTgoKAmjWtPJn2MVEiIiJSkfh44MMPgebNgXr1gIoVgWLFgIAAwN0d8PMDQkOBP/4wf44pU8TzFy2yIgDDRKllS8DNddMFD6UDICIioiwDB2afBGVISDB/n5+fWOE/YQLQr59IsHIkNRXYtk3e5oLVuPW5bopIRESkMmfO5CxJAoDEROO2+/eB3btFogQAN24Au3ZZEMCBA8YnbtXKghM4HyZKREREKjFnTs4faypRCgwE3nsPuHAhq+2nnywIwHDYrUYNoEgRC07gfDj0RkREpAIJCcDSpfK2Hj2AV18VPUT+/uK/GTdzZY169gSOHcs6XrFCJGA+PjkIYutW+bELr3bLwESJiIhIBX78Ub6Szc0NmDYNKF7csvP07AmMGSNWyAEiAVu7FujS5TlPfPYMOH5c3uai1bj1ceiNiIhIYZJkPOzWsaPlSRIgVsg1aSJvy9Hw29mzwNOn8rbatS0PwMkwUSIiIlLY9u0iT9E3dKj15+vdW368fr2Y6J2tqCj5cVgYULCg9UE4CSZKRERECitTBnj/fVErCRC1k5o2tf58r70GeHtnHaemAr///pwn6U9sAly6yKQ+JkpEREQKCw8HvvxSLOefPx+YNAnQ6aw/X0AA0L69vO3nn5/zJCZKJjFRIiIiUom8eYG33gK6ds39uQyH33bvBq5dM/NgSWKiZAYTJSIiIif08stAgQLytl9+MfPga9eAhw/lbUyUADBRIiIickpeXkC3bvK2//0vq2yAjGFvUmCgmMxNTJSIiIicVa9e8uMzZ4wXtwEwPeyWm0lSToSJEhERkQKOHAGmTAFu37bfNRo2FBPF9f31l4kHGiZKNWrYKyTNYaJERESkgFmzgI8+EiNcffsCR4/a/hpubsDrr4uRtCFDgL17gfHjTTyQE7nN0kmSydFKMiMhIQEBAQGIj4+Hv7mNdoiIiLJx65ZIkFJTs9qmTQNGj7b9tRISxD5vXl5mHnDnDlC4sLzt1CmgUiXbB6Mga7+/udcbERGRgy1cKE+SfHyAgQPtc63n5gSGk5Z8fYHy5e0TjAZx6I2IiMiBUlOBefPkbT17KrhbiOGwW7VqgLu7MrGoEBMlIiIiB1qzRlTg1pebfd1yjfOTssVEiYiIyIG+/VZ+HBEB1KqlTCwAmCg9BxMlIiIiBzlxAti5U97m6N6ke/eAuXOBxo2Bu1eTgPPn5Q9goiTDydxEREQOMmeO/LhIEaBLF8dcW5KAHj2AlSuBZ89E2+9zbmGI/uJ3d3egShXHBKQR7FEiIiJygIcPxRYi+t56K5tl+zam04lbRpIEAD+tzCN/UIUKYtUbZWKiRERE5ABLlgCPH2cdu7sDgwc7NgbDLU32XQ7BZZTMauCwmxEmSkRERHaWnm487Na5M1C0qGPjaN3auAzBL3g964CJkhEmSkRERHa2eTNw8aK8TYmSAF5eQLdu8raf0QuZs5SYKBlxqkRp165daN++PUJDQ6HT6bB69WrZ/ZIkYcKECQgJCYGvry9atGiBCxcuKBMsERG5DMOSAFWrAi++qEwsvXvLj8+iIo7iv/oE3AzXiFMlSo8ePUL16tUxx7B/8z/Tp0/H119/jXnz5uHgwYPImzcvWrdujadPnzo4UiIichWpqUBamrxt6FAxsVoJERFAyZLytp/QGyhRAihQQJGY1MxpN8XV6XRYtWoVOnXqBED0JoWGhuKDDz7AyJEjAQDx8fEoUqQIlixZgh49epg8T3JyMpKTkzOPExISEBYWxk1xiYjIIufOAd99B6xeDZw+DeTNq1ws48cDn3+edRyMWMR0HAaP1SuUC8rOrN0U16l6lLJz5coVxMXFoUWLFpltAQEBqF+/Pvbv32/2eZGRkQgICMi8hYWFOSJcIiJyMuXLA7NnA5cvK5skAcar3+IQgu0BryoTjMq5TKIUFxcHAChSpIisvUiRIpn3mTJu3DjEx8dn3mJiYuwaJxEROTc17DdboVw6arvJty75KaaxQtGoGytzP4e3tze8vb2VDoOIiMh2rlxBr/QfcQRZq9xWHQrFo0fK93apjcv0KAUHBwMAbt26JWu/detW5n1EREQu4dgx9MAyuCFrlnnSIzf8+aeCMamUyyRKJUuWRHBwMLZt25bZlpCQgIMHDyIiIkLByIiIyBkdPmy82k01jh1DCOLQHNtkzT//rFA8KuZUiVJSUhKioqIQFRUFQEzgjoqKQnR0NHQ6HYYPH47PP/8cf/75J06cOIG+ffsiNDQ0c2UcERGRLdy8CTRoAJQuDUybBty9q3REBo6J+Um98ZOs+eZNUc6AsjhVeYAdO3agadOmRu39+vXDkiVLIEkSJk6ciAULFuDhw4do1KgRvvvuO5QrVy7H17B2eSEREbmOTz4BJk3KOg4MBG7cAHx8FAtJLiQEiItDIvKhDv5Bp/bp6PV5RVSrpnRg9mPt97dTJUqOwESJiIiyk5IChIcD+guq33wTWLBAuZhk4uJEovQfCYDu7FlRv8CJsY4SERGRCvz1lzxJAoB33lEmFpP+m56SQZc3L1C2rDKxaAATJSIiIhtau1Z+3KgRUL26MrGYdExePwnVqwNuTAfM4StDRERkI5IEbN0qb+vaVZlYzDJMlGrWNP04AsBEiYiIyGbOnQOuX5e3tWypTCxm5TBRSklxQCwawESJiIjIRrZskR+HhgIVKigTi0kJCcDFi/K2GjUy/zcmBpg+HahWDRg92rGhqRW3MCEiIrIRw0SpZUtAp1MmFpOOH5cfe3gAVaoAABYtAgYNEsOHAHDrFjBjhniIK2OPEhERkQ2kpgI7dsjbVD/sVqkS8N9+po0aZSVJAHD7NrBrlwNjUykmSkRERDZw6BCQmChva9FCmVjMymZ+UrlyxtOV/vnHATGpHBMlIiIiGzAcdqtWDShSRJlYzHrORO569eR3G47UuSImSkRERDZgmCiprjcpJQU4fVreZpAoGdZ7YqLERImIiCjXEhKAgwflbaqbn3TqlPGOt3or3gDjROnsWSA52b5hqR0TJSIioly6cQOoWjXr2MsLeOkl5eIxyXDYrXRpwGDPM/2fAQDS0ow7oVyNiy/6IyIiyr2KFUUecvs2sH07EB0N5MmjdFQGclBo0s8PKFUKuHw5q+34cdcu3s1EiYiIyEYKFwZ69FA6CjNyWJG7WjV5ovTvv3aMSQM49EZEROTs0tONZ2YbzE/KwAndckyUiIiInN3Fi0BSkrzNTI+SqURJvxClq2GiRERE5OwMh92KFAFCQkw+tFo1+fG9e0BsrJ3i0gAmSkRERM4uh/OTAKBkSSBfPnmbKw+/MVEiIiKy0vHjQOXKwPDhwLp1xqNbqmFBouTmZtyr5MqJEle9ERERWWnLFlFn6PRpYPZsoEIF4MwZpaMyIEkWJUoAUKsW8PChSJiqVwdat7ZfeGrHRImIiMhKhtuWNG6sTBzZio0F7tyRtz0nUfr6a0Cns2NMGsKhNyIiIis8fQrs2iVvU922JYBxb1JGVclsMEnKwkSJiIjICnv3imQpg04HNGumXDxmGSZKNWqIiUiUI3yliIiIrLB1q/y4Th2gQAFlYsmWqUSJcoyJEhERkRUM5yepctgNsHgiN8kxUSIiIrLQvXvA0aPyNlUmSg8fAleuyNusSJQkSWz464q46o2IiMhC27bJt/XIkweIiFAuHrOiouTHnp5ApUo5euq1a8CMGWJT3H//FdOa7t51vYneTJSIiIgsZKosgLe3MrFky3DYrUoVwMsrR09NSwO+/VbeduMGUKyYjWLTCA69ERERWUCSjBOlFi2UieW5cjE/qUQJUUlAnytW6GaiREREZIFLl8SwlD5Vzk8CjIfeLEiUTG1l8u+/uQ9Ja5goERERWcCwNyk4WIxoqc7Tp2JvFX0WTuTmnm9MlIiIiCxiathNlROcT54UE40y6HRi4zYLGD6ciRIRERGZlZ4O7Nwpb9PM/KSyZYF8+Sw6hWGidP488ORJLuPSGCZKREREOeTmJpKF338H3noLKFlSQ4mSFRW5q1SR95alpwOnTuUuLK1hokRERGSBggWBLl2A+fOBy5eBokWVjsgMG1TkzpcPKF1a3uZqw29MlIiIiJxNWprxEjUrty4xHH5ztZVvTJSIiIiczfnzwOPH8jYrEyVXX/nGRImIiMjZGA67hYYChQtbdSpTK9/0t29xdkyUiIiInI0N5idlMEyUHj4Erl+3+nSaw0SJiIgoBz7/HPjzTyAhQelIciAXFbkNhYcD/v7yNlcafmOiRERE9Bw3bwLjxwMdOwKBgUDDhqJNlSTJpj1KOp1rz1PyUDoAIiIitdu6Nev/09JELSErp/zY3/XrwL178rZcJEoA0L07ULeuGIarXh2oWDFXp9MUJkpERETPoZ8oAUDTpoCHWr9BDXuTAgKAEiVydcqhQ3P1dE3j0BsREVE2JMk4UWrZUplYcsRURW5VbkanDUyUiIiIsnHqFBAbK2/TVKKUy2E3V8dEiYiIKBtbtsiPw8OBMmWUiSVHmCjZlM1GWFNTUxEXF4fHjx8jKCgIgYGBtjo1ERGRYgwTpRYtVDySde8eEB0tb2OilCu56lFKTEzE3Llz0bhxY/j7+6NEiRKoWLEigoKCEB4ejjfffBOHDx+2VaxEREQOlZIC7Nwpb1P1sJth/SRvb6BCBZteIikJ2L8fWL3apqdVLasTpZkzZ6JEiRJYvHgxWrRogdWrVyMqKgrnz5/H/v37MXHiRDx79gytWrVCmzZtcOHCBVvGTUREZHf798u3TNPpgObNlYvnuQwTpapVAU9Pm5z6n3+AsmVF8ckGDYD+/V1jKxOrh94OHz6MXbt2oXLlyibvr1evHgYMGIC5c+diyZIl2L17N8qWLWt1oERERI5mOOxWsyZQqJAyseSIYSXIGjVsduqgIODixazj+HgxyhcebrNLqJLVidKvv/6a+f8NGjTAxo0b4W9Y4xyAj48P3n77bWsvQ0REpBjDREnVw26AcY+SDROl4sWB/PnFXm8Zjh93/kTJJqveDhw4gKdPnxq1JyQkYMyYMba4BBERkUM9eCCGm/S1aKFMLDmSnAycOSNvM9zRNhdMbWXy7782O71q5SpR6tKlC6ZOnQqdTofbt28b3f/o0SPMmDEjN5cgIiJSxN9/A+npWcc+PkCjRsrF81ynTwPPnsnbDDObXHLFPd9yVR6gePHiWLt2LSRJQvXq1VGwYEFUr14d1atXR40aNXDu3DmEhITYKtZc++STTzBp0iRZW/ny5XH27FmFIiIiIrUyHHZ78UWRLKmW4bBb6dJi5rUNGXZQMVF6jpkzZwIAvLy8sHfvXty8eRPHjh1DVFQUVq1ahfT0dEyfPt0mgdpK5cqVsVWvFr2HajfrISIiJb32GuDmJhKmCxc0OD/JhsNu5k558SLw6BGQN6/NL6UaNskSHj16BM//lh927NjRFqe0Gw8PDwQHBysdBhG5IklScaVCMtSiRdacpGvXAF9fZeN5LjuueMtQubJIHjOGJCUJOHkSqF/f5pdSDZtM5va0UY0GR7hw4QJCQ0NRqlQp9OrVC9GGFUwNJCcnIyEhQXYjIsoxSQJ++01M7ggMBHr3Np4hTKoXHg4ULqx0FNmQJLuueMuQJ4+opaTP2YffrE6UnpdgGLpx44a1l7KZ+vXrY8mSJdi4cSPmzp2LK1eu4MUXX0RiYqLZ50RGRiIgICDzFhYW5sCIiUjTjh0DGjcGevQATpwQ66p//hmoW1dMePnjDyAtTekoyRlcuyYKG+mzw9CbqdM6+8o3qxOlunXrYvDgwdluURIfH4+FCxeiSpUq+OOPP6y9lM28/PLL6Nq1K6pVq4bWrVtj/fr1ePjwIZYvX272OePGjUN8fHzmLSYmxoERE5Em3b4NvPUWULs2sHu36cfs2QN06SJ2V5050/hLjsgSht06BQoAdvrD3tVWvlk9R+n06dOYPHkyWrZsCR8fH9SuXRuhoaHw8fHBgwcPcPr0aZw6dQq1atXC9OnT8corr9gybpvInz8/ypUrh4v6pUYNeHt7w9vb24FREZFmpaQA334LTJoE5HSY/upV4IMPgIkTgQEDgHffFauViCxhatjNTvPhTPUoOfP0O6t7lAoWLIiZM2ciNjYW3377LcqWLYu7d+9m7unWq1cvHDlyBPv371dlkgQASUlJuHTpkqpKGBCRRq1fL/bV+uAD00lSiRLA6NFA0aKmn5+UBHz9tZgA8uqrYidWV9hIS4WuXQOymZGhTg5Y8Wbu1AkJ4jVzVjpJcp3fxJEjR6J9+/YIDw/HzZs3MXHiRERFReH06dMICgrK0TkSEhIQEBCA+Ph4k1u2EJGLOXsWeP99YMMG0/fnzQt8+KF4jI8PkJoK/P47MGvW8yd116wJDB8OdO8udoEnh+jUCVi7VoycNm0K9OolcmBVK1UKuHIl63jJEqBfP7tcSpLEugT9rUxWrwZUvujd6u9vm6x6e/LkCR7rba987do1fPXVV9i8ebMtTm8z169fR8+ePVG+fHl069YNBQsWxIEDB3KcJBERZXr4UCQ/VauaT5L69AHOnROJUkalQk9P4PXXgUOHsuYpuZn5KD52THzZlSgBfPYZcOeOPX4S0pOWJjrz0tLEP9G0aRqYrPzwoTxJAuyy4i2DTifvVSpSRIM9cBawSY9Sq1at0LlzZ7z99tt4+PAhypcvDy8vL9y9exczZ87EkCFDbBGrKrBHicjFpaUBixYBH31kPnGpWxeYPRuIiMjZOa9eBb75Bvj+++znNgUEAGvWiJV0ZBfHjgG1asnbrl83P2KqCrt2yd8Tnp5iKNfLy26X3L5d/CpUqyYSJS1QtEfp6NGjePHFFwEAK1asQHBwMK5du4Yff/wRX3/9tS0uQUSkvF27gDp1xIo2U0lScLAY8jhwIOdJEiB6jL78Unwjz54thlFMiY8HunYF7t2zJnrKgb//lh+XLavyJAkwXnZWqZJdkyQAaNZMVCrXSpKUGzZJlB4/fgw/Pz8AwObNm9G5c2e4ubnhhRdewDVnnuFFRK4hLU0kR40bG0+aBcSX0tixwPnzYqjM3FDa8/j5iVVv58+LSR+meo7u3AFGjrTu/PRcO3bIj5s0USIKCzmg0KQrs0miVKZMGaxevRoxMTHYtGkTWrVqBQC4ffs2h6eISPs+/hhYuND0fZ06iV3bIyNFomML7u5iZuyOHcDRo6I4pb4lS4x3bKVcS0sTnYb6NJko2XHFmyuySaI0YcIEjBw5EiVKlEC9evUQ8V+X8+bNm1GzZk1bXIKISBmrVgFTpxq3V64skpVVq+xb96hmTeDXX413gR88WOxGSjYTFWVc91P1iVJqKnDqlLyNPUo2ZZNEqUuXLoiOjsY///wjW+nWvHlzzJo1yxaXICJyvIyhNH0eHqLeUVRU1o6p9la0KDB9urztyhVRpJJsxnB+UrlyQGioMrHk2LlzQHKyvI09SjZldWVuQz4+Pti+fTvmzJkDAKhcuTIGDBiAgIAAW12CiMhxkpKAzp2N1z3PmgUMHer4eN58U+wTp78lyqxZYh+5OnUcH48TMpyf1LSpImFYxnDYLSxMFDlygPR04PJlUT7h+HFRmD4y0iGXdiib9Cj9888/KF26NGbNmoX79+/j/v37mDlzJkqXLo2jR4/a4hJERI4jScCgQcZDGr16Ae+8o0xMbm5inpT+aqb0dBFnaqoyMTmRZ8+Mt+VT/bAbYLzizYHDbhs3ilWBr70GfPopMGeOeEs6G5skSiNGjECHDh1w9epVrFy5EitXrsSVK1fQrl07DB8+3BaXICJynK+/Bn77Td5WrRqwYIGyG1qVLw9MmCBvO35clBagXDl2zLiElSYSJQVXvBlujpuY6JxbmdisR2nMmDHw8MgayfPw8MDo0aPxz/NK9BMRqcnu3cbL7wMCgD/+APLkUSYmfaNHG++n8cknYj4VWc1w2K1CBVEWS9UkSdEVb0WLGo/yGXZwOQObJEr+/v6Ijo42ao+Jicmsr0REZK3r10Unj93r18bGAt26iXEYff/7H1CmjJ0vnkOenqKCt36tpuRkUefJGcc9HMRwIrcm5ifFxgJ378rbHNijpNMZ9yoxUTKje/fuGDhwIH777TfExMQgJiYGy5Ytw6BBg9CzZ09bXIKIXEx0NDBzJtCggZif+t57YqKo3XKB1FRR9TouTt7+8cdA+/Z2uqiV6tUTL4i+nTuBH35QJh6N0+z8JMPeJD8/oGRJh4Zg2IGl+n3xrGCTVW8zZsyATqdD37598ey/v8Q8PT0xZMgQTDVVf4SIyITLl8UI14oVYkNSQ3FxwL59QKNGxvdJklgpXaGClRcfNQrYu1fe1rq1GNZSo88+EzWcrl7Nahs1CmjbVgNr2tXl+nWxFUdSUlabJhOlatWsrwpvJcNEiT1KZnh5eWH27Nl48OABoqKiEBUVhfv372PWrFnw9va2xSWIyElduCB6imrXFnUbR482nSRlWLHCdPv27UDFimL/qXXrLOx5+vVXsceavvBwsRzf3d2CEzlQ3rzAvHnytvh4YNgwZeLRsBIlgIsXRS/mjz8C48YBhQsrHVUOKLjiLYPh0NulS/KE0xnoJEmSlA5CS6zdfZiIspw5IxKeFSty3lUfECB29ejbF2je3Pj+9u2BtWuzjsuWFdum9e8P5MuXzYlPngTq1wceP85q8/YWvUu1a+csOCX17SvmUOn74w9RA4qcW/ny8kn8CxeKchEO9PSp+P1KS8tq27fPsj2hHcXa72+b9ChFRkZi0aJFRu2LFi3CtGnTbHEJInISjx8DtWqJVe7PS5ICA4EBA4D164Hbt4GlS00nSRcuyJOkjLZhw4BixcQiNv0Rqkzx8SKh0E+SAOC777SRJAGi6GRQkLxt6FDg4UNFwiEHefRIvMn1KVCR28dH5Gv6nG34zSaJ0vz581HBxMSAypUrY55h1zARubQ8eYCXXzZ/f6FCYgHX5s1iTtIPP4jH69dZNHT+vHieKfHxosxQ6dJAly7Anj3/3ZGeLrYnMfyyefNNkZ1pRcGCxsOGsbFiDJOc14kTYmJeBjc3oEoVRUJx9gndNkmU4uLiEBISYtQeFBSE2NhYW1yCiJxIly7y4yJFgP/7PzHPKDYWmD9fzDXy9MzZ+dq2BWJigEWLjOdMZEhPFyNSL74ocqH0yGnAmjXyB9WtC3zzjeU/kNJ69ABeeUXetnChcXEgch6GE7krVAB8fRUJxdlLBNgkUQoLC8New9UiAPbu3YtQrr4gIgPt2gGlSomhsZ07gRs3xPYHTZuKPWet4eMDvPGG+P7Yvh3o0MF8Ee3vvwc+H/9U3liwoJg0pcUFKDodMHeumOCt7623gCdPlImJ7EvBQpOGTPUoOVNJL5skSm+++SaGDx+OxYsX49q1a7h27RoWLVqEESNG4M0337TFJYhIY5KSzK9+8fcXq4y+/hp46SXbLizT6UTCtWaNGJJ7913Tk7knSpPwF9qJAzc3YNkyoHhx2wXiaMWLG+9IeuGCKCNAJqWkAM2aAR99BGzZYjxVTdVUsOItg2GilJRkZk6gRtlk1ZskSRg7diy+/vprpKSkAAB8fHwwZswYTDDcl0jjuOqN6Pni4sRwWHCwSFis7SWylfh4MRI1ZoyE9PSsbiZ/xOMQ6qH8lP5iTbjWpaWJIlMHDmS1ubsDR44o2uOgVnv3ymtyeXkBd+6IRF7V0tJEkPqZ3aZNQKtWioQjSWI9wb17WW0rVwKvvqpIOGYpuupNp9Nh2rRpuHPnDg4cOIDjx4/j/v37TpckEdHznT0rlgYfPSpWq/3f/8nnnCohIECsfPuinrwIUyo8ca5+P2DsWIUiszF3dzGuqD+5Ky0NGDjQeFsWMprCVb68BpIkQHTHGnZ/KZgI63Ti8l5eQM2aYo2E6vfJs4BNS3jmy5cPdevWRZUqVVhoksgF7d4tthzR73ZfuFAlm9svWYIRB7qhF34CAITjKvYV74kOm94xP5lJiypXBj78UN525IjxyjjS5v5ugPGwW3CwWBGhoF9/FUNuR48CS5aos46StRxb65yInNbvv4uVag8eyNtLllTBVmkxMcCwYdABWIC3MBTf4B/fl1Bj3WTR3eRsxo0TZcr1jR8v9oghAGIf4X375G2a2LYEMJ7IreD8pAyFC+d8larWWJwosZA3EemTJLF5bbdu4stHX506wP79xgXpHEqSxPjffzPL8+AJvsG7KPTDNMXqztidt7cYgtPvKXvyBBg8WPlxUJU4dEi+IFCnAxo3Vi4ei6hoxZsryHGidOLECTRs2BCDBw+2ZzxEpCFpacDw4cAHHxjf166dmAOi8IgA8NtvxmW7BwwAevZUJh5HadBAJIj6tm4VG+GR0fykatVEJXhNUNGKN1eQ40SpW7duePToEV577TV7xkNEGvHkCdC1q1jib+jtt8XG9oZlfRzu3j1RH0BfcDAwY4bZp6xbJ1bJOYUpU8QeLvq4WwIADc9Pun0buHlT3sZEya5ynCglJiaiQIEC8PT0xJkzZxATE4MHDx4gNTXVnvERkQrdvSv2XFu1yvi+yEixVZrSJQEAAO+/L9Z76/v2W6BAAaOHpqWJOdDt2gF9+jhJwTx/f+CTT+RtGzYA0dGKhKMWT5+KIWF9mpmfZNib5OsrdoAmu8nxR9mMGTPwxhtvoGXLlkb3eXp6Il++fEY3Pz+/zP8PCgpC3bp10V7xWZ1ElBuXLom91wy3SPP0BBYvBnr1UiYuI5s3Az/+KG/r1ElsgmvgwQMR94YN4vivv4BPPzXOMTSpRw+RMCYkiOP0dDF/6dNPlY1LQQcPimQpg04nCp9qgmGiVLWqbSu25kJ0tPjdOX5cVOfOl0+M9mpdjhOlHj16oFGjRjhw4ABu3LiBpKQk2S0xMVF2fPfu3cz2J//NmNPpdOjduzeWLl1qtx+IiOznzBnxl/ft2/J2f3/Ru9SsmSJhGXv0SExc1ufvL/ZJMVEKICFBTO7VN2mSqAnTsaMd43SEvHmB3r1FN1+GH34AJkxQSbef4xnOT6pRw2QnozqpcMVbhlOngKFDs44DAsTaAa1X37Dot6RYsWLoYribZQ5IkoR79+5h1qxZmDp1KqZMmYKiRYtafB4iUta1a0BiorytWDHRE6OqBWTjxxvvofDFF4CZvSfDw4Hly0Vh47S0rPY+fUQCVaGC/UJ1iMGD5YnSzZtignunToqFpCTNzk8CVL3irVw5+XF8PHD/vthGUcscUkdJp9Ph2LFjWL16NQIDAxGomaUFRKSvTRux4WyhQuK4WjWxW4aqkqRDh4yLK770EjBoULZPa9ZM5FL6EhNFj5LmJ3dXqwa88IK8bf58ZWJR2NOn8h1eAA3NT3r6VJS+16eiHqXwcONOyosXlYnFlhxWcDIuLg7lypXD1q1b4evr66jLEpGNvfCCKNTXo4eoxK2qzuHUVJEQ6c/E9vYW5cHdnv9xN3y48Ryr8+fFyJXmJ3e/9Zb8eNMm59q5NIf275fX+3JzA158Ubl4LHLqlLzLU6cTc5RUwsNDJEv6Ll1SJhZbclii1KdPH6xatQrVVdRNSETWKVtWbFmgun2xpk8HTpyQt02caDwmYIZOByxYIOYm6Vu7VsxZ0rTu3eVVyCVJJJAuxnB+Us2aQP78SkRiBcNht9KlAT8/RUIxp0wZ+TF7lIiI1OLsWeOVXNWri91wLZAnj5iYnjG8mOHTT4HVq3MXoqLy5BGTrvQtWiR64VzIW2+Jvcj69QOKF9fQsBugiUKTpUvLj9mjREROa9484OeflY4ih9LTxTdgSkpWm5ubWAZvxQZUGZO7DVdd9+kjVv5pluFKwLg4sZ7bhRQtKpKkJUvE4oQpU5SOyAIqXvGWwbBHiYkSETml1avF7he9e4vRLNVvD7ZggZgwpW/ECLHZnJWaNjUu4J2UJCZ3P3xo9WmVVaWK2NpEn4tO6s7g5aV0BDkkScY9SiqcymLYo8ShNyJyOvv2iW3QMpKjMWPELiCqTZZu3ABGj5a3lSplk4KK770nkkV9Fy4Ao0bl+tTKMexV2rwZuHxZmVgo565ezSoamkGFPUqGidKtW5n7UWuWa1YbI9t68kTsaZGWJoZAzN3M3Q+IybZBQcr+HIRz54D27eVViwExX0eVReMkSXR9GRZ3mj9fzMnJpYzJ3adPA0ePZrUvWiQ2AtZkfaWuXUUGqN8ttnCh2HuG1Mtw2K1gQZUtORVKlTJuu3RJlZ1fOcZEiSyXmipq1WzdKm4HDgDPnuXunDodEBEhxjU6dgTKl7dNrJRjcXGiTtL9+/L2gQNFEWdVWrEC+PNPeVv//kCLFja7hK8vsHIlUKkS8PixSBo//BAoUcJml3AsX1+gb1/5bsaLFollfZoZh3JBpgpNqvCvF19fkb/duJHVxkSJnJ8kASdPAtu2icRo507b96VKkhjz2bdPjPWUKycSpg4dRAKlkr2MnFViItC2rXFZnZdfBubOVeXnscjo9PdLAIDChYEvv7T5pcLDgY8/FvV33n9fhWURLDV4sDxRun0bWLNG9DY5qQsXxF5kDRqIL3PN0cCKtwxlysgTJa3PU+IcJTItOjprh9OQEFHZd8QIYN06xww4nz8vyiS/+KK4/oABYobx48f2v7aLSU0V34/6Q0sAULu2WPllxaIxxxg1ynjTuW++AexU+X/cOLFJruaTJEB0jzVqJG9z8kndS5eKjsb8+YHGjcV2d5qigRVvGZytRAB7lEi4f19sgJTRa2S4NXxu6HRiqbapm7u7mOOkXyrX0J07ImlbvBjw8QFathS9Te3aAUWK2C5OFyRJonNh0yZ5e6lSIifOl0+ZuJ5r2zYxXKSvfXun7hGxucGDgT17so63bRN/+huu73YSGfu7paQAu3aJjmrNePBA1DLQp+KxLGcrEcBESUVWrgTWrxfTBLy8xM4Lhv9vqs3LSxRntbgM/7NnYn7Hd9+JDbwsXdZUvTrQvLn4M61ePZHEmEqGnjdu8/Sp+BRbs0bEExub/WP/+kvcdDqxn0bHjqLHiZPBLfbJJyL/1FewoNjkVrU56OPHxttx+PmJ97EqxwhVqksXMalbf1LawoXAtGnKxWQnjx6JaZX6NLUR7r//yo+9vFS9kqBSJTEIUbq0uNWqpXREuSSRReLj4yUAUnx8vM3PPWaMJIlsxfJbaKgFF7pxQ5I++UQ8yZKLhIdL0sCBkvTrr5J065bNf35JkiQpLU2SDh2SpI8+kqSqVXMeW0CAJH37rSQ9e2afuJzQggXGL6OvryTt3690ZM8xcqRx4N99p2hIycmKXt56I0bIX8egIA3/MOZt2iT/MT08JCkxUemoLPDVV/IfoGZNpSPSJGu/vzlHSUWyG316Hm9v8/ddvQos+kHC1V/3i6GJ4sVFV8LNm9mfNDBQPH7ePNElf+WKqHTco4eYNGsPbm5A3brA55+Lv6IuXQJmzRJ//mU3oTs+XkzsrVcPOHjQPrE5kXXrgCFD5G1ubsCyZcabzKvKkSPAzJnytkaNjGsDOcj168Cbb4q6lvp7lWqGYc/cnTti/xYnY7i/W926Kh5WNsXUijdyGCZKKqK/+4KlzK7qjY/Hmg92YeAgHUq+HoFSK6ZhUNo8/IKeiEWw/LE+PkCrVqLr/cgR8aG5fLn4EipdWplhjVKlxJbu27eLibv/+59I3sx9yh09KiYfDB4M3Lvn0FC14uZNoFs34y/2OXPEIkPVSk0FBg3Kqr0FiDf+woUiy3Ogp0/FFnJlyoi/HU6cEG9NzalQQcxs1ueEk7oz5idl0NT+boCmVrw5I50kqbberiolJCQgICAA8fHx8Lfx8pc//hBzK1NSRO+S/n+f11amjMglMkVFiXXdP/2Ejo9/wZ/oaPKaFXAGzYqcRrPuhdBiXD0EBGtk3WxysvgzcckS0Q1iSsGCIul74w2Hf5Gq3YIFokcpI+f48ENg8mRlY3quSZNET6i+zz4T6/YdLD1drArU/0O/eHGxWDO73l1V+uUXsbpV37lzokSHE0hKEivd9P8w2LxZrAnRhJQUMQdP/y/pHTuME1x6Lqu/v+0yEOjE7DlHKdeePJGk//1Pkho0yBzLToW75I+HOZrmky+fJH3wgSRdv670D2Khv/+WpEqVzP9gERGSdOyY0lGqzl9/SVKePJLUt68kpacrHc1zHDggSe7u8n/XqlUVnU+zYYPxW+2rrxQLx3pPn0pSwYLyH+SDD5SOymYM/508PSUpKUnpqCxw/LjxG+3+faWj0iTOUXJl0dHA2LFAWJjY3nzfvsy74hGA1tiEQrjz3NMkJYlafSVLihGOc+fsGbQNNWki/rSfPh3Im9f4/v37xZ//774r5jIRAFFd4eBBMXKl6sViSUliwzX9LgF3d1EIR8FK0q1bAy+9JG+bPNl4NxXV8/YW1cz1LVmSu0mTKmI4P6lePdMfE6plOOwWHg4UKKBMLLmgP2KuNUyUtOzAAaB7dzGPZ9o0sd+agYK4j+Xur+PWa+/g3+8P4atZEjp0yL5oXmqq+A6qWFHMqdYET09RgPDsWbHs2VB6uihGWL488NNPKt7h1bGqVNHArhXvv29c2nfiRDEjV0E6nfH2aHfuiLUHmmM4qfvePVGvxAlofn6ShgpN6jt9Wgzvt2wpvqKqVVM6olywUw+X01J86C01VZKWLZOk+vVzVjPgk09MjqWlpopV+FOnSlLLlpLk5mb6FJs3K/Az2sLGjZJUpoz516ZxY0k6eVLpKO0uKUmS/vlH6ShyYc0a43+7F14Qb2CVaN9eHp6fnyTduaN0VFZo2tT4d0Tj4uONR2y3blU6Kgs1ayb/ASZMUDqiHNm7Vx62l5fy1Vus/f5momQhxRKl+/clafp0SQoLe36C1KyZJK1YIUkpKTk+/cWLkjRkiCR5e2edplYtDcxdyc6TJ5L06aeS5ONj+nXy8JCkUaM0VlAl55KTJal1a1Ebaf16paOxQlycqOuj/2+WN694s6rIv/9Kkk4nD/P995WOygrLlhn/jpw5o3RUubJunfH8pEePlI7KAunpxvPHVq5UOqociYszfjtdvapsTEyUHMThidK5c5L0zjviCyK75ChvXvG406dzdbnYWEkaN06S/P0l6bffzD9u+3ZJWrhQzANVvcuXJaldO/OvXbFikrRzp9JR2tSzZ5LUtas8J1y2TOmoLJCeLklt2xr/W33/vdKRmdS7tzxMb29Jio5WOioLJScbJ6YjRigdVa6MGiX/cV58UemILBQTY/w7cPmy0lHlSHq68dfWtm3KxsREyUEckiilp4t3VLt2xn+qGt6KF5ekL76w+SqIhw/Nd5Omp4uFZBmjezNmSFJCgk0vbx9r1ojq4uZ6l775RuNdaEJ6uiigbvgjBgWJoQhNmDvX+Afo1Em1/z6XLoneCv1wBw5UOiorGGYWgYGiZ1aj6tSR/zjjxysdkYX++kv+A/j7q/Z3wJTq1eXhz5+vbDxc9WaBOXPmoESJEvDx8UH9+vVxyHATIKU8fSo23qpRQ+yhtnateH+ZEhEB/PabqFw9cqTNV0EEBJgvhL1nj1hIBojihSNHihoy06fnrmim3XXoIGYYfvSRmPyt79kzYNgwsWfc06fKxGcDkgSMHm28M3q+fOLtZOPSX/Zx7pyYwK2vSBFR/Emly/NKlTKeD714sVhboCmGP8T9+8CKFcrEkkuSBFStChQrltWmqf3dAOMVb9Wrq/Z3wJTSpeXHmt0c106Jm2otW7ZM8vLykhYtWiSdOnVKevPNN6X8+fNLt3K4d5ldepTi4sSk68KFs+89cneXpO7dRU0ZBb3yivkQy5fXyATwc+eMJ69m3OrWFV3eGjR5svGP4+2tfJd3jqWkGHcDAJqYZBUbK+pS6YfdpYvSUVmheXP5D9GokdIR5Up6upjWtnChJD1+rHQ0FurSRf5vMWyY0hFZZPRoefivvaZsPBx6y6F69epJ77zzTuZxWlqaFBoaKkVGRpp8/NOnT6X4+PjMW0xMjG0TpatXxXKA7BKk/PnFO04lkx42bpSkJk2yD7lzZ+Un7j3Xs2diQpapH6BwYUnatUvpCC3y3Xemc+vVq5WOzALjxxv/EP/3f0pHlWMffmgc/uHDSkdloeXLjX+IU6eUjso1Ga7cVekcPXPmz5eHX726svEwUcqB5ORkyd3dXVq1apWsvW/fvlKHDh1MPmfixIkSAKObTXuU9Cppy25ly0rSnDmqXZW1f7+YNmIuWfL1laTPPtPAFIfffzc9Wd7DQ5K+/VYTcwJ+/tn0dLalS5WOzAJ79xrXqShfXlPLlB48kKQCBeSJ6uzZSkdloeRk497t995TOirXk5Bg/EutsVof27bJw8+XT9mPU85RyoG7d+8iLS0NRYoUkbUXKVIEcXFxJp8zbtw4xMfHZ95iYmJsH9jw4fLjjPlJZ88C//d/qt3m+oUXxEbjBw+K3dMNPXkCjB8vihquW+f4+HKsSxdRvNNwQP3ZM2DoUGDgQFXPW1q7Fujb13g629dfi3ZNSEwUVeX1y/d6eAA//wzkyaNcXBbKn18UyQfE3s2nTomC8Jri5SXm6ulbulT8QpPjnDgh/6V2dwcqV1YuHisYfqQmJYm9zbXGpRIla3h7e8Pf3192s7lXXxUbUA4YICbvbd0KtG2rmY1c69XL2gqjYEHj+y9dEttltG8vdltRpSpVgMOHgTZtjO9bvFjsVXH9uuPjeo6dO8UXsv7uHoDYP3bYMGVissrw4cDly/K2SZPE1jMaM3Qo8M8/wPLlohC8Jr35pvz44UPg998VCcVlGVbkrlAB8PFRJBRrFStmvG5GixO6tfFNbCOFChWCu7s7bt26JWu/desWgoODFYoK4i/nkyfFUiWN1nl3cxP7w50/LzrBTOV427erPPcrUEB0z4wbZ3zf4cPiS3v3bsfHZcY//4jk07Cza/hw0ZOnGatWAYsWydsaNgTGjFEmnlzKk0eT+Z1cqVJAq1bytvnzlYnFCiZ2c9IewxVvGtm6RJ+7u3gr6TPcjUgL1Py1ZXNeXl6oXbs2tm3bltmWnp6Obdu2ISIiQsHIYJx2a1RgIDBnjvgSb9BAft/48fKluqrk7g5MmSL+ejbcOfP2baBZM/EDmivb4CDXr4vOL8MNWPv3Fxsba2YFcWysce+Fnx/wv/+Zr09BjmFYKmDfPvEHncrdvAkULix6uidPFiEr/OtqHY3u8WbIGUoEuFSiBADvv/8+Fi5ciKVLl+LMmTMYMmQIHj16hDfeeEPp0JxKzZqi3tLSpaIETrlywIgRSkdlAZXPWwoNBXr1krd17iyGP1Xda6dPksRw87178vavvwZKllQmJsrSoQNg2NOugV6lv/4Sb63Dh4GPPxadk6mpSkdlobQ0MUdJX/XqysSSS2XKyI+ZKGlA9+7dMWPGDEyYMAE1atRAVFQUNm7caDTBm3JPpxOTic+dA/74A/D2Nv24+Hjgk0+Me0cUlzFvqXVr4/sUnrfk5gZ89RUwcaI4btEC+OUXMYqrGd99B2zcKG977TWgXz9l4rGzp0+BuXOB5GSlI8khT0/jSd0//6zyqrLAn3/Kj195RcxP15QLF4wnz2s0UTL8W1OLQ28uVR7AFhTbFNeJvfeeWDoaHCxJS5ZIUlqa0hEZUHm9pV9+UW0FCfNOnzberDgkRJLu3lU6MptLTZWkH37I2s9aU+UCLl82fs+vXat0VGYlJso39gbE74fm/Pqr/IcIDVU6Iqvt2iVJ7dtL0vDhYpeo7duVi4V1lByEiZJt/fuvqDWj/5lQv74kHTyodGQmZFdvae5cu11Wc0nQ8yQnS1KtWsav48aNSkdmF/37y3/MoCCN/Zsa1nnr3VvpiMz64w/jX80HD5SOygpjxsh/kJdfVjoip8A6SqRJ779vvLT94EGgfn0xMTk2VpGwTMtu3tKQIcDbb9t8WGLnTqBsWc1ut2XapEnA0aPytmHDTA9xOgHDuep37oi5ZJrRo4f8eM0a1dZUWrNGftykiahtpTlOsOLNmTBRIkXNmSPmEJiydKmYBD59uormdWQ3b2n+fFEs1AYV1SRJrF5r3hyIiwPeeEODG6yasmcPMHWqvK1iRWDaNGXicYAGDURZNH1ffqn6qT5ZunSRL6NMTAQ2bFAuHjOePTMubNuhgzKx5IokGf8hwURJUUyUSFHlyokPt3XrxP8bSkoS5XSqVMlazaK4AgVEwKbq/OzZI8qUG37QWSAxEejWDRg5Mqu3LSlJrGpLSrL6tMo7eVL8EPrVtz09xQRhX1/l4nKAjz6SH9+4IX5sTQgJEV0z+pYtUySU7OzbZ7yAUpOJ0sWLxn9sab4wl7YxUSJVeOUVsRr2iy9EGR1DFy+KD72XX1ZJz4q7u+gZ+eUX42q5MTFAo0ZWfZmcPg3UrWt6qC08XIPLnDOcOAE0bSrGnfR99pmoJeHkIiLEIkl906bJc0ZVMxx+W7tWdVm74Wq36tXF74zm7NkjPw4ONq7aSA7FRIlUw8tL9KKcPy+GmkzZtAmoWlXMbXr40KHhmdazp/hgCwuTtz95Iu4bN854EpYZv/0miuSdOydv1+lEGYB160RnluYcPy6SJMNyyc2aiX9wF2HYAXnunPGcGtXq3FleAPTJE9HFqxKSZPxaduyoTCy5Zlj9/8UXNVRB9vmePRPTCbSEiRKpTnCw2NHi0CGx8a6hZ89EDSHV1OOoXVuUIm/UyPi+qVNFV1h8vNmnp6aKbUd69AAePZLflzHK98knGiokqS8qSiREhmMiDRsCq1e7VPXtl18WSb6+qVNVMpz8PIUKAS1byttUNPx29qzx54Emh90A4x4lU58rGnP8uBg1KFdOjLLXrat0RJbR4kcvuYi6dYG9e8VuFqGh8vveeENMBVKNwoWBbduAwYON71u/XizjM+wqgthuoWlTYPZs46fVqgUcOSK+YDXp6FGRJN2/L29/8UUxGdjUGKsT0+mAsWPlbYcOiZWNmtC9u/x440aVdOsa9yYVKyZ+fzTn1i1RbFKfEyRKgPiVv3BB/KF7/bpqF06axESJVM3NDejdW+QY48aJ4Tl/f7EdmzmG38sO4+UFzJsnyi8blsg+d06Mq61fn9m0c6f4MN+71/hUAweKds3u5HHkiFiy9+CBvL1xY/EauFiSlKFbN6BECXmb4SJA1erUSV7iOiVF9AqqgOH8pA4dNDpaZdib5Oen2Y3S9ZmaYnXliuPjsBYTJdKEfPlEcnT6tOhhMrfjTEyMGLrr0EEMWeVwepBtvf226F0KCpK3JyQA7dpBmjoN7/yfhObNxR+Q+ry9ge+/FzfDOeKacfiwSJIMexuaNhX/KPnyKRKWGnh4GE/L2rQJOHZMmXgskj+/cffmb78pEoq+W7dEeTN9TjPsFhGhsX2JTPPzM/7MVs3UiRxgokSaUrp09h+C338v5vz89RfQrp3okfn0U7Ec26FeekkkDIb1TyQJunFjcePPf4ySuBIlRC/SwIGOCtIODh4UG88Zzslq3lyslMqbV5m4VOSNN4xzaM2UkTIcftuyxXiSvoPdvCn/NfPzM65moBlOOD8pg2GdXi1tjstEiZzGs2ciUdIXEyNWjBUvLlbBrF/vuF6mx0HhIvMx/HIB0PuG/JuxTRsxWqXpcin79wOtWomeM30tW4rMNU8eZeJSmTx5gPfek7f9/rtGvjjat5fXvEpLEzteK6hmTTEd7to14NtvxTwwcxtwq1pSknHX4osvKhOLHZQpIz9mjxKRAk6fNv6OzpCeLuYxtG0r/rL5/HPxl6itJSWJocHWrUVvVopHHuDXX8VEFL1JE+2wFv6IhzueYWK3M1i3VkJgoO3jcZh9+8QPbfgP0KqVmGnr5AUlLfV//ycfgSxd2j7vR5vLl08kS/pUMPwGiD+G3nkH+PBDpSOx0oED8r/iPDzEvEYnwR4lIhWoVk182SxYkH3PzLVrwPjx4oP11VeBH34Qc1KtXaadmip6ql5/XYzD9+0LbN4siutu3AiRII0ZI4ae/P0BAD5Ixk/ojYsog0+WV4LbK21EASkt2rNHJEmJifL2Nm2YJJlRoIBYIFm7tuhNOnNGQ50Hhj2kO3aobFNGjTKsn1S7tlP1whr2KGkpUdJJkiaqeKhGQkICAgICEB8fD///vvRInY4cEduv/fKLcX0iQ3nymH/M2rWiQ6hAAXELDMz67/nz4g9qw4LTGbp2BZYv12s4d05MsjKVFHl6ipm+H32knbk8u3aJAimGL94rr4ghGc3OSLe/5GSxiExzq7OePBF/Eegnxl9/LTY2Jus1bw5s3551PHKk2KrASRw8KK+L5+Eh3kqOnKtu7fc3EyULMVHSnsREkSzNn29+dVHRoqK2hylff208pySnChUSE8n1V1Xj4UOgTx+RgZkSFgbMnAm89pq6v0V37hQJ0ePH8vZ27cQeLJqcKEI50qcP8NNPWccNGpiuc0E5k5oqVhXq/y6tXq3h8uLG7t41XsRw6ZJjd2ex9vubQ2/k9Pz8xDDHkSNiIdqgQcYdNtltDWJYCuh53N1F/vDLL8DVqwZJEiA+EP/8U8xdMqykCYgZ6F27ivk9qtjYzoS//zadJHXowCTJFRju/bZvHxAd7dAQNLvvoSnHjhn/LjVsqEwsdlKwIBAQIG/TyoRuJkrkMnQ6Uc174UIxl2nuXDG5u3ZtoEoV88/LaQHL+vWBb74R5163Tmz1ZnYETacTXzZnzwKjRpnuf966VUy8GjNGXRuQbtsmXjjDD/ZOncSEGyZJzq9lS+O/LmRjzPb38cdApUqiEO3+/RraYNgUw7IAFSuK7mgnotNpd0I3h94sxKE313PggPiD7/590buU8d8HD8Qvf5MmYiJ32bK5uMiZM2KOx7Ztpu8vWlQMx3Xtqsxw3LNnYsb6vHlihrrhx0bnzmLvL09Px8fmZKKixHusWTOlI3mOQYPESogMGXseOkiFCvJdgT79VCzS0KTOnYFVq7KO33xTrEpxMt27y/Pp998HvvzScde39vtb+yU/iezshRdMb85rUxUriuJ9K1YAI0YYV8i8cUN8ysyfL4rFVKxo54D+c/26+DJcuNB81c4uXcQ4I5Mkq0mSmPI1daqo1F22rMidVb1ncI8e8kTpyBExlmK4vMkOzp0z3jqxdWu7X9Y+JMm4R0kzSyAto9UeJQ69EamFTid6jM6eFcNtphKP7dvFcNyoUcbL8W0lLU3sYNmpExAeDnzyifkkqVs3Jkk2sG+f2OFl0yZxfOGCvINBlZo0EZtB63NQTSXDvd1CQlS2SbYlzp83XjbrRBW59Wm1RAATJSK1yZdPdC2cOCHmghh69gyYMUOMPXz8sZgU/u+/Yr15bsTFiQ31ypQRE7XXrDE/8SMgQIxz/PwzkyQbaNBAVJjWN3Wq9bW9HMLDQ/Qm6lu2zCGXXrNGfty+vdhAW5MMe5NCQ413TnYSdeoAQ4cCs2aJZHfFCqUjyhnOUbIQ5yiRQ0kSsHKlGI6Licn+se7uIsmpXFncqlQR/y1b1sTSu/+kp4sVbPPmieXIz55lf4169cSmv927O1UxPDVYvty4luPWraK8jmrt3i32NdR38qR439nJnTuijJP+N9e6dSK316T+/YGlS7OOu3d3WMLpalhHyUGYKJEiHj0SvT0zZgApKZY918NDJEsZCVRG8rR1q5gweuFC9s/Plw/o1UvUWDDs9iCbSUsDypeXD0e0aCGmrqlWerooca8/NDt+vJhZbSeLFwMDBmQd580ravRotrZpmTLyf/RvvhHdLmRzTJQchIkSKer8eVH9cuNG+1+renVgyBCxpM/Pz/7XI8yfLzrs9P3zj8o3S37/fTGWkqFsWTHT2k6rM199VXR+ZujcWfF9ea0XG2tcS+3YMaBGDUXCcXYsOEnkCsqVE8v0t24FPvhA7KcWFma78/v6Am+8kVUTYfBgJkkO1K+fGFbSN22aMrHkmGHxyQsXRI0DO3jyROyjqK9DB7tcyjEM5yf5+wNVqyoTC5nF8gBEWqPTiYkr+pNXEhKA06eBU6fkN3Or1QxVqiS6Mvr0EZXDSRE+PmI62tixWW0rVojcI1d1uuypbl2gZEngypWstmXL7DJMu3WrvM6pm5uofapZholSgwYqrwnhmtijROQM/P1FsaeBA0Vhyk2bRA2kBw/EHlwLFoghuxYtxFpqQFTQ7tVLTMg9eVIUvGSSpLi33xb/nBkkSeV7o+p0xrPQf/vNLkv2DMsCNGqk8QLWhomSk5YFMCU9XaxPcWCNUqtxjpKFOEeJnEJSkli1ptk11c5t7Fj5kJuXl9g3MCPHVZ3jx43n1ezfb9NKrenpYjrPrVtZbTNmiBFoTUpIENvA6Jfg2LnTeBWhkzl2DOjdW8xfT04Wf5tZup+mtThHiYhyLl8+Jkkq9t578i3zUlKAr75SLJznq1ZNLNnTZ+Ml7ocOyZMkQOPzkw4ckCdJnp5iGNPJ+fmJWQIZZd8ePsz5fppK4SclEZHKhISI8jr65s4VXyqqlLHJs77ly0XNAxsxLDJZsaKK523lhOGwW926YjGFkwsPN56GdfGiMrHkFBMlIiIVGjlS3umXmCiSJdUynKcUG2ucDORCXJz89ejY0WanVsbu3fJjF5mf5OkpkiV9at/KhIkSEZEKlSkj3yEkTx4gNVW5eJ6rYkUxBKfPhsNvixeLZGnJElFL6dVXbXZqx0tJAQ4elLe5SKIEGO/5xh4lIiKyypgxQMGCwMSJwLVrwIQJSkf0HIbDbytWPH9bHAsEBYlaUytXit10NOvoUVEUSl/DhsrEooDSpeXH7FEiIiKr1Kolqjx88olGlsEbDr/dvQts365MLGpmOCRZuTIQGKhMLAow7FFiokRERFbT1B5mpUoZr9ziBq/GXLh+EmDco8ShNyIich2Gw2+rVmWtBSdREsAwUXrxRWViUYhhohQXJ/b9VismSkREZDtdu8qPHz403qDNlZ07B9y7J29zsR6lUqWM29Q8/MZEiYhIY2JjgSFDxARv1QkLM/7i/+03q0719ClQpYrYXWfLFrFYTPMMe5OKFQOKF1cmFoXkySOqrOtjokRERLmWkACMHy8mw86bJ/5flQwnda9ZI9/NNof+/lvs7fztt0CrVkBwsLqHaHLEsH7Siy+Kgp0uRkslApgoERFpxOTJwOefZ+UcP/0ktllTnS5d5NUhk5KA9estPo1hNe5KlYC8eXMZm9JcfCJ3Bi2VCGCiRESkESNHir2yMkiSqLWkOsHBQNOm8jYLh9+ePQP+/FPepum93QDgxg3gyhV5m4tN5M6gpRIBTJSIiDQiKAgYPVretmkTsG2bMvFky3D4be1asQ9LDv30k5iLpU/z25YY9iYFBIgaSi5ISyUCmCgREWnIiBFi01x9o0fLN6JXhc6dAQ+PrOOnT43H0sxISQEmTZK31akDlC9vw/iUYJgoNWwoH6J0IfXrA198IaqsHz8OnDihdETmuea/EBGRRuXNKyp16zt61OqFZfZTsKCYga1v6dIcPfX774GrV+Vtn35qm7AU5eL1k/SVKCGGkl99VWwRmC+f0hGZx0SJiEhjBgwAKlSQt330kQrrOvbuLT/etu25NQ0ePxYT1vU1bAi0aWPj2BwtPt545r2LTuTWGiZKREQa4+EBREbK265cESUDVKVTJzEPJ4MkPbdX6bvvjOcmTZ7sBCvo9+8XP38GLy8xnkiqx0SJiEiDOnYEGjSQt332mei4UA1fX+D11+VtixebnVCVkABMnSpva9kSaNzYTvE5kuGwW716GtvIz3UxUSIi0iCdTkyG1XfvHjB9ujLxmPXGG/Ljq1eBnTtNPvSrr4x39zAchtMsw0KTHHbTDCZKREQa1aCBGN3SN2uWKNejGnXqiH1I9C1ebPSw+/eBL7+Ut3XsKDpeNC85GTh0SN7GRAmAGI2MixMdbitXKh2NaUyUiIg0LDIScHfPOn7yxHhVnKJ0OuNepRUrjMYIp08XQ2/6T/vsMwfE5whHj4ryCBl0OuNxUxd09KgooBoSIhYA9uwJpKUpHZUxJkpERBpWoQIwcKC87ccfgVu3lInHpN695TWVnjwBli/PPExNlR0CAHr0AKpWdVB89mY47FalClCggDKxqEhoqHzvvpQUlfWG/oeJEhGRxn3yidiRHRDbfBw7BhQpomhIcoULA+3aydsWLcr8X09PUXAwMlLkD+7uxgUnNY37u5lUpIjx3n1q3MrEpRKlEiVKQKfTyW5TDZdYEBFpTEgI8M03wK5dovh1pUpKR2SC4fDbgQPAmTOZh3nzAmPHApcvi5G5smUdHJ+9pKcDe/fK21y40KQ+nU4bW5m4VKIEAJ9++iliY2Mzb8OGDVM6JCKiXBswQOXfvy+/bNzNtWSJ0cPy5zeeoK5pZ86Imer62KOUyTBRYo+SCvj5+SE4ODjzltew34+IiGzP0xPo00fe9uOPwLNnysTjKIbDbuHhQFiYMrGoUJky8mMmSiowdepUFCxYEDVr1sQXX3yBZ8/5JU1OTkZCQoLsRkREVjAcfouLAzZuVCYWR2H9pGxx6E1l3n33XSxbtgx///03Bg8ejClTpmD06NHZPicyMhIBAQGZtzD+JUBEGpKcDPz7r9JR/KdSJbFtPIDLKImrCJdN6nZKnMidLVNDb/o7vaiBTpLUFpJlxo4di2nTpmX7mDNnzqCC4Q6SABYtWoTBgwcjKSkJ3t7eJp+bnJyMZL2dJhMSEhAWFob4+Hj4+/vnLngiIjtJTwd++QX4+GNRwufiRZXs0D5/PvD22+iEVViPV/Cm7gd8dLwbQqsWVDoy24uJAYoXl7edPAlUrqxMPCp09SpQsqS87dYtsVDS1hISEhAQEGDx97fmE6U7d+7gnmHNewOlSpWCl5eXUfupU6dQpUoVnD17FuXLl8/R9ax9oYmIHCUhAWjSRJQJyDBpEjBhgmIhZYmPx6HC7VA/JWtIysfjGf7a4IEWLRSMyx5+/VW+112BAsDdu4CbSw3mZCstTWwJmJqa1bZvHxARYftrWfv97fH8h6hbUFAQgoKCrHpuVFQU3NzcUNgeqSsRkUL8/UXJAP1E6YsvgLffts9f6hYJCMDHgd8BcVlN+aQE1K9XAIBOsbDswnDYrWFDJkkG3N1Fj9L581ltFy/aJ1Gylsv8i+3fvx9fffUVjh8/jsuXL+Pnn3/GiBEj0Lt3bxRghVQicjJTp4o6NRmSkoBPP1Uungw7dwJb4uQlt8emTYbfhaMKRWRHhomSqus3KEftJQJcJlHy9vbGsmXL0LhxY1SuXBmTJ0/GiBEjsGDBAqVDIyKyuapVgX795G3z5wObNikTDyAm6X70kbwtFDfwf/jO+SZ1P3woyo3r40Ruk9ReIkDzQ285VatWLRw4cEDpMIiIHObTT4Fly7L2Y332TGxxsnw50LGj4+PZsMG4SPXH+By+eCpmnn/5JeDj4/jA7GHfPvnyLW9voHZt5eJRMbWXCHCZHiUiIlcTFgaMHClvS0kBXnsN+O03x8aSni5W4OkrgSsYiB/EwcOHwOrVjg3KngyH3erXF8kSGTFMlB4+VCQMs5goERE5sYkT5QuvALHS6PXXTe4gYjcrV8onlwPAJxWXwwt6y50WL3ZcQPbGQpM5Vr++6OU8ckQkSXpbAKoCEyUiIifm4SF2Chk0SN6eni4KZX/3nf1jSEszLk1QoQLQe2wxeeOWLaL2kNY9fQocOiRv40Rus4KCgK5dgVq1gIAApaMxxkSJiMjJubuLidym9gB/5x1gxgz7Xv/nn417CT79FHDv8qqoZZBBkoClS+0bjCMcOSLGODPodOpa704WYaJEROQC3NyA2bOBMWOM7xs1StRZsoeUFOCTT+RtNWqIeVLIkwfo0UN+5+LFortLy1atkh9Xq6bOrhLKESZKREQuQqcDIiON6yn5+wNNm9rnmosWAVeuyNs+/1yv7uKAAfI7L182nt+jJY8eAT/8IG9r2VKZWMgmmCgREbkQnQ4YPz5ruC1vXrFsv04d21/ryRPgs8/kbRERwCuv6DXUqwdUrCh/kJYndf/8s3zZlk4HDB6sWDiUe0yUiIhc0AcfAHPnAn/+CTRoYJ9rPHoENGsmrxA+ebL8GDqdmFWu7/ffgcRE+wRlT5IEfP21vO3ll40rKpIRSQLu3QMOHhS55syZSkeURfOb4joaN8UlIjL28CGQP7/p+06eFKveEhPFwjYjcXFAsWJieVyG778HBg60Q6R29PffIjPUt3Ej0Lq1MvFoyPHjYu5aBp0OePzYtvVHrf3+Zo8SERGZtHq1fPGWoeRkUbiyZUugRAnRg2RKlSqijtLatWZOFBxsMB4HbQ6/ffON/LhcOc5PyqFSpeTHkmQ8t00pTJSIiMjIt98Cr74KdOok5hrp+/df4L33gNBQsWht61YgPl6MmGUn28LUhpO69+4Fzp2zJnRlXLsGrFkjbxs2TG/WOmXHzw8oXFjeppY93/gvSEREMosWZdVc2rABaNsWuHlT1GKqVw+oXl1Mxbl/X/48w8VeFmnbVlQe1OfI0uG59d138rIGfn7GuxJTturUAerWFcn3xx8DJUsqHZHAOUoW4hwlInJm9+6Jvbfi4y1/bv78YkPTggWtvPj77wOzZmUdh4QA0dGivLiaPX4s5lg9eJDVNmyY8cRuUhTnKBERUa4VLCjmH5ubmG1K06bATz+JXierkyTAePgtNhbYvDkXJ3SQX36RJ0kAMHSoMrGQzTFRIiIimRdeALZvBwoVMv+Y0FDgww9FD9L27UCvXoCvby4vXKWKcUEntU/qNlUSoE0bMZGbnAITJSIiMlKzJrBzp1iQlsHDQ0zwXrtWzF2ePFkM09mUYa/SmjXA3bs2vogN7doFnDghb3v3XWViIbtgokRERCZVqgScOgV8+SUwbx5w/bpY5t+2rR2nDfXoIV8el5oqhrbUyrAkQNmyrJvkZJgoERGRWYGBYo714MFAkSIOuGCBAqLbSt+iRQ64sBWio403wH3nHZYEcDL81yQiInUxHH47fhw4dkyZWLIzd668JEC+fED//oqFQ/bBRImIiNSlWTMgLEzeprZJ3U+eAAsWyNv69QMCApSJh+yGiRIREamLu7txz8zSpaL+gFr8+qtxxU2WBHBKTJSIiEh9DBOlhARgyBCxHF9ppkoCtGoFVKigTDxkV0yUiIhIfUqVAvr2lbf9+afYhVdpe/aIeVP6MvZ8IafDRImIiNRp5kzjnVKHDQPu3FEmngyGJQFKlwZeeUWZWMjumCgREZE6FSwoNpvVd/eusgUdY2JEMSl9LAng1PgvS0RE6vXaa+Kmb9kyUbFbCfPmAWlpWcd58wJvvKFMLOQQTJSIiEjdvv1WFKLUN2QI8PChY+N4+tS4JEDfvpbtIEyaw0SJiIjULTgYmD1b3hYbC3zwgWPjWLbMeN85lgRwekyUiIhI/Xr3Bl5+Wd62aBGwebNjrm+qJECLFmJDPHJqTJSIiEj9dDpg/nzAz0/e/tZbQFKS/a+/b5/xNiosCeASmCgREZE2hIUBX3whb7t2DRg3zv7XNiwJULIk0Lat/a9LimOiRERE2vHmm0CTJvK2b78Fdu+23zVv3ABWrJC3vfOO2GqFnB4TJSIi0g43N+D77wFfX3n7wIFio1p7MCwJkCcPMGCAfa5FqsNEiYiItKV0aWDyZHnbhQvAxIm2v9bTp2JulL4+fYzLFZDTYqJERETa8+67wAsvyNu+/BI4fNi211m+3HjLFJYEcClMlIiISHvc3YEffgC8vLLa0tPFkFhKim2uYaokQLNmQJUqtjk/aQITJSIi0qZKlYAJE+RtJ08CU6bY5vwHDgBHjsjbWBLA5TBRIiIi7Ro9GqhRQ942eTLw77+5P7dhSYDwcKB9+9yflzSFiRIREWmXp6eo0K2/VP/ZMzEE9+yZ9ee9eRP4/Xd5G0sCuCQmSkREpG01awJjxsjbjhwBZs607DySBFy8KOY+9ekjT7R8fUUJAnI5OkmSJKWD0JKEhAQEBAQgPj4e/v7+SodDRESAWMZfsyZw9mxWm7c3cPw4UL686eekpwNnzgC7dgE7d4r/xsaafuybbwILFtg+bnIYa7+/PewYExERkWP4+IghuIYNRc8QACQnA4MGiSTIzU0UjTx+XCREGbd793J2fpYEcFlMlIiIyDlERADvvQd89VVW2549QN++wIMH4v8TEiw/76hRQLVqNguTtIVDbxbi0BsRkYo9eiSSmsuXrT9HkSLASy+JW4sWQIUKtouPFMOhNyIiorx5gYULgebNc/6csDCgcWORGDVuDJQtC+h09ouRNIWJEhEROZdmzYC33jI/+bps2aweo8aNRX0kIjOYKBERkfOZNQt48gTYtAkICsrqMXrpJSAkROnoSEOYKBERkfPJkwf48UeloyAnwIKTRERERGYwUSIiIiIyg4kSERERkRlMlIiIiIjMYKJEREREZAYTJSIiIiIznCZRmjx5Mho0aIA8efIgf/78Jh8THR2Ntm3bIk+ePChcuDBGjRqFZ8+eOTZQIiIi0gynqaOUkpKCrl27IiIiAj/88IPR/WlpaWjbti2Cg4Oxb98+xMbGom/fvvD09MSUKVMUiJiIiIjUzuk2xV2yZAmGDx+Ohw8fyto3bNiAdu3a4ebNmyhSpAgAYN68eRgzZgzu3LkDLy+vHJ2fm+ISERFpj7Xf304z9PY8+/fvR9WqVTOTJABo3bo1EhIScOrUKbPPS05ORkJCguxGRERErsFlEqW4uDhZkgQg8zguLs7s8yIjIxEQEJB5CwsLs2ucREREpB6qTpTGjh0LnU6X7e3s2bN2jWHcuHGIj4/PvMXExNj1ekRERKQeqp7M/cEHH6B///7ZPqZUqVI5OldwcDAOHToka7t161bmfeZ4e3vD29s7R9cgIiIi56LqRCkoKAhBQUE2OVdERAQmT56M27dvo3DhwgCALVu2wN/fH5UqVcrxeTLmvnOuEhERkXZkfG9buoZN1YmSJaKjo3H//n1ER0cjLS0NUVFRAIAyZcogX758aNWqFSpVqoQ+ffpg+vTpiIuLw8cff4x33nnHoh6jxMREAOBcJSIiIg1KTExEQEBAjh/vNOUB+vfvj6VLlxq1//3332jSpAkA4Nq1axgyZAh27NiBvHnzol+/fpg6dSo8PHKeL6anp+PmzZvw8/ODTqezVfhISEhAWFgYYmJiWHbAAnzdrMPXzTp83SzH18w6fN2sk93rJkkSEhMTERoaCje3nE/RdppESetYn8k6fN2sw9fNOnzdLMfXzDp83axjj9dN1aveiIiIiJTERImIiIjIDCZKKuHt7Y2JEyeyFIGF+LpZh6+bdfi6WY6vmXX4ulnHHq8b5ygRERERmcEeJSIiIiIzmCgRERERmcFEiYiIiMgMJkpEREREZjBRcqA5c+agRIkS8PHxQf369Y026TX0+++/o0KFCvDx8UHVqlWxfv16B0WqLpa8bkuWLIFOp5PdfHx8HBit8nbt2oX27dsjNDQUOp0Oq1evfu5zduzYgVq1asHb2xtlypTBkiVL7B6n2lj6uu3YscPovabT6RAXF+eYgFUgMjISdevWhZ+fHwoXLoxOnTrh3Llzz32eq3+2WfO68bMNmDt3LqpVqwZ/f3/4+/sjIiICGzZsyPY5tnivMVFykN9++w3vv/8+Jk6ciKNHj6J69epo3bo1bt++bfLx+/btQ8+ePTFw4EAcO3YMnTp1QqdOnXDy5EkHR64sS183APD390dsbGzm7dq1aw6MWHmPHj1C9erVMWfOnBw9/sqVK2jbti2aNm2KqKgoDB8+HIMGDcKmTZvsHKm6WPq6ZTh37pzs/Zax6bYr2LlzJ9555x0cOHAAW7ZsQWpqKlq1aoVHjx6ZfQ4/26x73QB+thUrVgxTp07FkSNH8M8//6BZs2bo2LEjTp06ZfLxNnuvSeQQ9erVk955553M47S0NCk0NFSKjIw0+fhu3bpJbdu2lbXVr19fGjx4sF3jVBtLX7fFixdLAQEBDopO/QBIq1atyvYxo0ePlipXrixr6969u9S6dWs7RqZuOXnd/v77bwmA9ODBA4fEpAW3b9+WAEg7d+40+xh+thnLyevGzzbTChQoIH3//fcm77PVe409Sg6QkpKCI0eOoEWLFpltbm5uaNGiBfbv32/yOfv375c9HgBat25t9vHOyJrXDQCSkpIQHh6OsLCwbP/aIIHvtdypUaMGQkJC0LJlS+zdu1fpcBQVHx8PAAgMDDT7GL7fjOXkdQP42aYvLS0Ny5Ytw6NHjxAREWHyMbZ6rzFRcoC7d+8iLS0NRYoUkbUXKVLE7HyGuLg4ix7vjKx53cqXL49FixZhzZo1+Omnn5Ceno4GDRrg+vXrjghZk8y91xISEvDkyROFolK/kJAQzJs3D3/88Qf++OMPhIWFoUmTJjh69KjSoSkiPT0dw4cPR8OGDVGlShWzj+Nnm1xOXzd+tgknTpxAvnz54O3tjbfffhurVq1CpUqVTD7WVu81D6ujJVKhiIgI2V8XDRo0QMWKFTF//nx89tlnCkZGzqZ8+fIoX7585nGDBg1w6dIlzJo1C//73/8UjEwZ77zzDk6ePIk9e/YoHYqm5PR142ebUL58eURFRSE+Ph4rVqxAv379sHPnTrPJki2wR8kBChUqBHd3d9y6dUvWfuvWLQQHB5t8TnBwsEWPd0bWvG6GPD09UbNmTVy8eNEeIToFc+81f39/+Pr6KhSVNtWrV88l32tDhw7F2rVr8ffff6NYsWLZPpafbVksed0Muepnm5eXF8qUKYPatWsjMjIS1atXx+zZs00+1lbvNSZKDuDl5YXatWtj27ZtmW3p6enYtm2b2bHViIgI2eMBYMuWLWYf74ysed0MpaWl4cSJEwgJCbFXmJrH95rtREVFudR7TZIkDB06FKtWrcL27dtRsmTJ5z6H7zfrXjdD/GwT0tPTkZycbPI+m73XrJxoThZatmyZ5O3tLS1ZskQ6ffq09NZbb0n58+eX4uLiJEmSpD59+khjx47NfPzevXslDw8PacaMGdKZM2ekiRMnSp6entKJEyeU+hEUYenrNmnSJGnTpk3SpUuXpCNHjkg9evSQfHx8pFOnTin1IzhcYmKidOzYMenYsWMSAGnmzJnSsWPHpGvXrkmSJEljx46V+vTpk/n4y5cvS3ny5JFGjRolnTlzRpozZ47k7u4ubdy4UakfQRGWvm6zZs2SVq9eLV24cEE6ceKE9N5770lubm7S1q1blfoRHG7IkCFSQECAtGPHDik2Njbz9vjx48zH8LPNmDWvGz/bxO/gzp07pStXrkj//vuvNHbsWEmn00mbN2+WJMl+7zUmSg70zTffSMWLF5e8vLykevXqSQcOHMi8r3HjxlK/fv1kj1++fLlUrlw5ycvLS6pcubK0bt06B0esDpa8bsOHD898bJEiRaRXXnlFOnr0qAJRKydj2brhLeN16tevn9S4cWOj59SoUUPy8vKSSpUqJS1evNjhcSvN0tdt2rRpUunSpSUfHx8pMDBQatKkibR9+3ZlgleIqdcLgOz9w882Y9a8bvxsk6QBAwZI4eHhkpeXlxQUFCQ1b948M0mSJPu913SSJEmW9UERERERuQbOUSIiIiIyg4kSERERkRlMlIiIiIjMYKJEREREZAYTJSIiIiIzmCgRERERmcFEiYiIiMgMJkpEREREZjBRIiIiIjKDiRIROZ0mTZpg+PDhSodBRE6AW5gQkaY1adIENWrUwFdffZXZdv/+fXh6esLPz8/h8YwYMQLXrl3DypUrHX5tIrI99igRkdMJDAxUJEkCgEOHDqFOnTqKXJuIbI+JEhFpVv/+/bFz507Mnj0bOp0OOp0OV69eNRp6a9KkCYYNG4bhw4ejQIECKFKkCBYuXIhHjx7hjTfegJ+fH8qUKYMNGzZkPic9PR2RkZEoWbIkfH19Ub16daxYscJsLCkpKfD09MS+ffvw0UcfQafT4YUXXrDnj09EDsBEiYg0a/bs2YiIiMCbb76J2NhYxMbGIiwszORjly5dikKFCuHQoUMYNmwYhgwZgq5du6JBgwY4evQoWrVqhT59+uDx48cAgMjISPz444+YN28eTp06hREjRqB3797YuXOnyfN7eHhg7969AICoqCjExsZi48aN9vnBichhOEeJiDTN1Bwlw7YmTZogLS0Nu3fvBgCkpaUhICAAnTt3xo8//ggAiIuLQ0hICPbv34+aNWsiMDAQW7duRUREROZ5Bw0ahMePH+OXX34xGcvq1asxaNAg3L171z4/LBE5nIfSARAROUK1atUy/9/d3R0FCxZE1apVM9uKFCkCALh9+zYuXryIx48fo2XLlrJzpKSkoGbNmmavcezYMVSvXt3GkRORkpgoEZFL8PT0lB3rdDpZm06nAyDmJiUlJQEA1q1bh6JFi8qe5+3tbfYaUVFRTJSInAwTJSLSNC8vL6Slpdn0nJUqVYK3tzeio6PRuHHjHD/vxIkTeO2112waCxEpi4kSEWlaiRIlcPDgQVy9ehX58uVDYGBgrs/p5+eHkSNHYsSIEUhPT0ejRo0QHx+PvXv3wt/fH/369TP5vPT0dJw7dw43b95E3rx5ERAQkOtYiEhZXPVGRJo2cuRIuLu7o1KlSggKCkJ0dLRNzvvZZ59h/PjxiIyMRMWKFdGmTRusW7cOJUuWNPuczz//HEuWLEHRokXx+eef2yQOIlIWV70RERERmcEeJSIiIiIzmCgRERERmcFEiYiIiMgMJkpEREREZjBRIiIiIjKDiRIRERGRGUyUiIiIiMxgokRERERkBhMlIiIiIjOYKBERERGZwUSJiIiIyIz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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xr = np.arange(0,3,.1)\n", "yr1 = np.exp(xr)*(np.sin(5*xr))\n", "yr2 = np.exp(xr)*(np.cos(5*xr))\n", "plt.figure(1)\n", "plt.plot(xr,yr1,'-r',lw=3, label='a first curve')\n", "plt.plot(xr,yr2,'--b',lw=3, label=r'$e^{x} \\cos(5 x)$')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "plt.ylabel(r'$\\int \\, \\cos(t) $')\n", "\n", "plt.figure(2)\n", "plt.plot(xr,yr1*3.,'-.b^',lw=1, label='a second curve')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "plt.ylabel(r'$\\int \\, \\cos(t) $')\n", "\n", "\n", "plt.figure(3)\n", "plt.subplot(211)\n", "plt.plot(xr,yr1,'-r',lw=3, label='a first curve')\n", "plt.legend()\n", "plt.ylabel(r'$\\int \\, \\cos(t) $')\n", "plt.subplot(212)\n", "plt.plot(xr,yr2,'--b',lw=3, label=r'$e^{x} \\cos(5 x)$')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "plt.ylabel(r'$\\int \\, \\cos(t) $')\n", "\n", "\n", "plt.figure(4)\n", "\n", "plt.subplot(121)\n", "plt.title('My title')\n", "plt.plot(xr,yr1,'-r',lw=3, label='a first curve')\n", "plt.legend()\n", "plt.ylabel(r'$\\int \\, \\cos(t) $')\n", "plt.xlabel('time $t$')\n", "plt.subplot(122)\n", "plt.grid(True)\n", "plt.plot(xr,yr2,'--b',lw=3, label=r'$e^{x} \\cos(5 x)$')\n", "plt.legend()\n", "plt.xlabel('time $t$')\n", "\n", "plt.figure(5)\n", "\n", "a = np.loadtxt(\"sample.dat\")\n", "plt.plot(a[:,0],a[:,1],'-o')" ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "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" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "widgets": { "state": {}, "version": "1.1.1" } }, "nbformat": 4, "nbformat_minor": 4 }