notebooks/ExamplePlots.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A sample of plots\n",
    "\n",
    "The idea of this notebook is to show off a number of plot types, and act as a simple check of the plotting output. It requires `matplotlib` and does not attempt to describe the plots (see the help for the plot constructor for this!)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sherpa import data\n",
    "from sherpa.astro import data as astrodata\n",
    "\n",
    "from sherpa import plot\n",
    "from sherpa.astro import plot as astroplot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## One dimensional data plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1 = [100, 200, 600, 1200]\n",
    "y1 = [2000, 2100, 1400, 3050]\n",
    "\n",
    "d1 = data.Data1D('oned', x1, y1)\n",
    "\n",
    "plot1 = plot.DataPlot()\n",
    "plot1.prepare(d1)\n",
    "plot1.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can have some fun with the plot options (these are a mixture of generic options, such as `xlog`, and ones specific to the plotting backend - which here is `matplotlib` - such as `marker`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot1.plot(xlog=True, linestyle='dotted', marker='*', markerfacecolor='orange', markersize=20, color='black')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot object contains the preferences - here we look at the default plot settings. Note that some plot types have different - and even multiple - preference settings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'xlog': False,\n",
       " 'ylog': False,\n",
       " 'label': None,\n",
       " 'xerrorbars': False,\n",
       " 'yerrorbars': True,\n",
       " 'color': None,\n",
       " 'linestyle': 'None',\n",
       " 'linewidth': None,\n",
       " 'marker': '.',\n",
       " 'alpha': None,\n",
       " 'markerfacecolor': None,\n",
       " 'markersize': None,\n",
       " 'ecolor': None,\n",
       " 'capsize': None}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot.DataPlot.plot_prefs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Error bars - here on the dependent axis - can be displayed too:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/fzer1xD5/X5JUseOHQOOb9++XV6vV9/85jc1bdo0FRcXu+f27Nmj6upqjRo1yj0WHx+vpKQk7dy5U5KUk5Mjx3HcGJKkQYMGyXEcdwYAANgrNNgL+IIxRnPnztWQIUOUlJTkHh87dqzuv/9+JSYmqqCgQD/+8Y81fPhw7dmzR+Hh4SoqKlJYWJg6dOgQ8HixsbEqKiqSJBUVFcnr9db5ml6v1525UmVlpSorK937ZWVlDXGZAACgGWo2QTRz5kx9/PHH2rFjR8DxL34MJklJSUnq37+/EhMTtXHjRt13333XfDxjjDwej3v/bz++1szfSk9P1wsvvPBlLwMAALRAzeJHZrNmzdKGDRu0bds2denS5bqzcXFxSkxM1OHDhyVJPp9PVVVVKikpCZgrLi5WbGysO3P69Ok6j3XmzBl35koLFiyQ3+93b8ePH/8qlwYAAFqAoAaRMUYzZ87U2rVrtXXrVnXr1u2Gn3P27FkdP35ccXFxkqR+/fqpdevWysrKcmcKCwu1f/9+DR48WJKUnJwsv9+vvLw8d2bXrl3y+/3uzJXCw8MVHR0dcAMAADenoL7LbPr06Xr99df19ttvB7zTy3EcRURE6Pz583r++ec1ceJExcXF6ejRo1q4cKE+++wzffLJJ4qKipIkPfbYY3r33Xe1cuVKdezYUfPmzdPZs2e1Z88etWrVStJfX4t06tQpvfzyy5KkRx99VImJiXrnnXfqtVbeZQYAQMtT3+/fQQ2ia71+55VXXtHUqVNVUVGhCRMmaO/evSotLVVcXJyGDRumn/70p0pISHDnL126pKeeekqvv/66KioqNGLECP3mN78JmDl37pxmz56tDRs2SJJSU1O1bNkytW/fvl5rJYgAAGh5WkQQtSQEEQAALU+L/D1EAAAAwUAQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA633pIJo6daref//9xlgLAABAUHzpICovL9eoUaPUvXt3LVq0SCdPnmyMdQEAADSZLx1Ea9as0cmTJzVz5ky99dZb6tq1q8aOHas//OEPqq6ubow1AgAANKqv9BqiTp066fHHH9fevXuVl5enb3zjG0pLS1N8fLyeeOIJHT58uKHXCQAA0Gi+1ouqCwsLtXnzZm3evFmtWrXSuHHjdODAAfXu3VtLly5tqDUCAAA0qi8dRNXV1VqzZo1SUlKUmJiot956S0888YQKCwv1+9//Xps3b9aqVav04osvNsZ6AQAAGlzol/2EuLg41dbW6sEHH1ReXp7uuOOOOjOjR49W+/btG2B5AAAAje9LB9HSpUt1//33q02bNtec6dChgwoKCr7WwgAAAJrKlw6itLS0xlgHAABA0PCbqgEAgPUIIgAAYD2CCAAAWI8gAgAA1iOIAACA9QgiAABgPYIIAABYjyACAADWI4gAAID1CCIAAGA9gggAAFiPIAIAANYjiAAAgPUIIlzXxaoadZ2/UV3nb9TFqppgLwcAgEZBEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQod6K/JeCvQQAABoFQYTrWrPnhPvxyCXZemP3Z0FcDQAAjYMgwjUV+iv03IYD7v1aIy1cu1+F/oogrgoAgIZHEAVRc/8dPwWfX1CtCTx22Rgd/fxicBYEAEAjIYhwTd1i2irEE3islcejrjGRwVkQAACNhCDCNcU5EXoh9Vvu/RCPtOi+JMU5EUFcFQAADY8gwnVN7NfF/XjL3KGaNODWIK4GAIDGQRCh3nxOm2AvAQCARkEQAQAA6xFEAADAegQRAACwXmiwF4DmLTIsVEcXjw/2MgAAaFQ8QwQAAKxHEAEAAOsRRAAAwHpBDaL09HQNGDBAUVFR8nq9mjBhgj799NOAGWOMnn/+ecXHxysiIkJ33323Dhw4EDBTWVmpWbNmKSYmRm3btlVqaqpOnDgRMFNSUqK0tDQ5jiPHcZSWlqbS0tLGvkQAANACBDWIsrOzNWPGDOXm5iorK0s1NTUaNWqULly44M784he/0JIlS7Rs2TLt3r1bPp9P99xzj8rLy92ZOXPmaN26dcrIyNCOHTt0/vx5paSk6PLly+7M5MmTlZ+fr8zMTGVmZio/P19paWlNer3XU+S/FOwlAABgLY8xxtx4rGmcOXNGXq9X2dnZuuuuu2SMUXx8vObMmaNnnnlG0l+fDYqNjdXPf/5z/fCHP5Tf79ctt9yiVatWadKkSZKkU6dOKSEhQZs2bdLo0aP1ySefqHfv3srNzdXAgQMlSbm5uUpOTtahQ4fUo0ePG66trKxMjuPI7/crOjq6Qa53Vc5R/fjtvz7bFeKR0u/rw5/GAACgAdX3+3ezeg2R3++XJHXs2FGSVFBQoKKiIo0aNcqdCQ8P19ChQ7Vz505J0p49e1RdXR0wEx8fr6SkJHcmJydHjuO4MSRJgwYNkuM47syVKisrVVZWFnBrSIX+Cj234f9+9FdrpIVr96vQX9GgXwcAANxYswkiY4zmzp2rIUOGKCkpSZJUVFQkSYqNjQ2YjY2Ndc8VFRUpLCxMHTp0uO6M1+ut8zW9Xq87c6X09HT39UaO4yghIeHrXeAVCj6/oNornpu7bIyOfn6xQb8OAAC4sWYTRDNnztTHH3+s//7v/65zzuPxBNw3xtQ5dqUrZ642f73HWbBggfx+v3s7fvx4fS6j3rrFtFXIFV+6lcejrjGRDfp1AADAjTWLIJo1a5Y2bNigbdu2qUuXLu5xn88nSXWexSkuLnafNfL5fKqqqlJJScl1Z06fPl3n6545c6bOs09fCA8PV3R0dMCtIcU5EXoh9Vvu/RCPtOi+JMU5EQ36dQAAwI0FNYiMMZo5c6bWrl2rrVu3qlu3bgHnu3XrJp/Pp6ysLPdYVVWVsrOzNXjwYElSv3791Lp164CZwsJC7d+/351JTk6W3+9XXl6eO7Nr1y75/X53Jhgm9vu/+NsydygvqAYAIEiC+rfMZsyYoddff11vv/22oqKi3GeCHMdRRESEPB6P5syZo0WLFql79+7q3r27Fi1apMjISE2ePNmdfeSRR/Tkk0+qU6dO6tixo+bNm6c+ffpo5MiRkqRevXppzJgxmjZtml5++WVJ0qOPPqqUlJR6vcOsKficNsFeAgAA1gpqEC1fvlySdPfddwccf+WVVzR16lRJ0tNPP62KigpNnz5dJSUlGjhwoDZv3qyoqCh3funSpQoNDdUDDzygiooKjRgxQitXrlSrVq3cmdWrV2v27Nnuu9FSU1O1bNmyxr1AAADQIjSr30PUnDXG7yG6WFWj3j/5oyTp4IujFRkW1D4FAOCm0yJ/DxEAAEAwEEQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6/GrkYMoMixURxePD/YyAACwHs8QAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRABajItVNeo6f6O6zt+oi1U1wV4OgJsIQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6QQ2i999/X9/73vcUHx8vj8ej9evXB5yfOnWqPB5PwG3QoEEBM5WVlZo1a5ZiYmLUtm1bpaam6sSJEwEzJSUlSktLk+M4chxHaWlpKi0tbeSrAwAALUVQg+jChQu6/fbbtWzZsmvOjBkzRoWFhe5t06ZNAefnzJmjdevWKSMjQzt27ND58+eVkpKiy5cvuzOTJ09Wfn6+MjMzlZmZqfz8fKWlpTXadQEAgJYlNJhffOzYsRo7dux1Z8LDw+Xz+a56zu/367/+67+0atUqjRw5UpL02muvKSEhQVu2bNHo0aP1ySefKDMzU7m5uRo4cKAk6be//a2Sk5P16aefqkePHg17UQAAoMVp9q8h2r59u7xer775zW9q2rRpKi4uds/t2bNH1dXVGjVqlHssPj5eSUlJ2rlzpyQpJydHjuO4MSRJgwYNkuM47szVVFZWqqysLOAGAABuTs06iMaOHavVq1dr69at+uUvf6ndu3dr+PDhqqyslCQVFRUpLCxMHTp0CPi82NhYFRUVuTNer7fOY3u9XnfmatLT093XHDmOo4SEhAa8MgAA0JwE9UdmNzJp0iT346SkJPXv31+JiYnauHGj7rvvvmt+njFGHo/Hvf+3H19r5koLFizQ3Llz3ftlZWVEEQAAN6lm/QzRleLi4pSYmKjDhw9Lknw+n6qqqlRSUhIwV1xcrNjYWHfm9OnTdR7rzJkz7szVhIeHKzo6OuAGAABuTi0qiM6ePavjx48rLi5OktSvXz+1bt1aWVlZ7kxhYaH279+vwYMHS5KSk5Pl9/uVl5fnzuzatUt+v9+dAQAAdgvqj8zOnz+vI0eOuPcLCgqUn5+vjh07qmPHjnr++ec1ceJExcXF6ejRo1q4cKFiYmJ07733SpIcx9EjjzyiJ598Up06dVLHjh01b9489enTx33XWa9evTRmzBhNmzZNL7/8siTp0UcfVUpKCu8wAwAAkoIcRB988IGGDRvm3v/iNTtTpkzR8uXLtW/fPr366qsqLS1VXFychg0bpjfeeENRUVHu5yxdulShoaF64IEHVFFRoREjRmjlypVq1aqVO7N69WrNnj3bfTdaamrqdX/3EQAAsIvHGGOCvYiWoKysTI7jyO/383oiIEguVtWo90/+KEk6+OJoRYY16/eFAGgG6vv9u0W9hggAAKAxEEQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEYAWqch/KdhLAHATIYgAtBhr9pxwPx65JFtv7P4siKsBcDMhiAC0CIX+Cj234YB7v9ZIC9fuV6G/IoirAnCzIIgAtAgFn19Q7RW/V/+yMTr6+cXgLAjATYUgAtAidItpqxBP4LFWHo+6xkQGZ0EAbioEEYAWIc6J0Aup33Lvh3ikRfclKc6JCOKqANwsCCIALcbEfl3cj7fMHapJA24N4moA3EwIIgAtks9pE+wlALiJEEQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6BBEAALBeaLAXAAD1FRkWqqOLxwd7GQBuQjxDBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAeqHBXkBLYYyRJJWVlQV5JQAAoL6++L79xffxayGI6qm8vFySlJCQEOSVAACAL6u8vFyO41zzvMfcKJkgSaqtrdWpU6cUFRUlj8cT7OU0qbKyMiUkJOj48eOKjo4O9nJaLPaxYbCPDYN9bBjsY8NozH00xqi8vFzx8fEKCbn2K4V4hqieQkJC1KVLl2AvI6iio6P5H3wDYB8bBvvYMNjHhsE+NozG2sfrPTP0BV5UDQAArEcQAQAA6xFEuKHw8HA999xzCg8PD/ZSWjT2sWGwjw2DfWwY7GPDaA77yIuqAQCA9XiGCAAAWI8gAgAA1iOIAACA9QgiAABgPYLIUunp6RowYICioqLk9Xo1YcIEffrppwEzxhg9//zzio+PV0REhO6++24dOHAgYKayslKzZs1STEyM2rZtq9TUVJ04caIpL6VZSU9Pl8fj0Zw5c9xj7GP9nDx5Uj/4wQ/UqVMnRUZG6o477tCePXvc8+zjjdXU1OhHP/qRunXrpoiICN1222168cUXVVtb686wj3W9//77+t73vqf4+Hh5PB6tX78+4HxD7VlJSYnS0tLkOI4cx1FaWppKS0sb+eqazvX2sbq6Ws8884z69Omjtm3bKj4+Xg8//LBOnToV8BhB3UcDK40ePdq88sorZv/+/SY/P9+MHz/e3Hrrreb8+fPuzOLFi01UVJRZs2aN2bdvn5k0aZKJi4szZWVl7sw//dM/mc6dO5usrCzz4YcfmmHDhpnbb7/d1NTUBOOygiovL8907drV9O3b1zz++OPucfbxxs6dO2cSExPN1KlTza5du0xBQYHZsmWLOXLkiDvDPt7YP//zP5tOnTqZd9991xQUFJi33nrLtGvXzrz00kvuDPtY16ZNm8yzzz5r1qxZYySZdevWBZxvqD0bM2aMSUpKMjt37jQ7d+40SUlJJiUlpakus9Fdbx9LS0vNyJEjzRtvvGEOHTpkcnJyzMCBA02/fv0CHiOY+0gQwRhjTHFxsZFksrOzjTHG1NbWGp/PZxYvXuzOXLp0yTiOY1asWGGM+es/8NatW5uMjAx35uTJkyYkJMRkZmY27QUEWXl5uenevbvJysoyQ4cOdYOIfayfZ555xgwZMuSa59nH+hk/frz5x3/8x4Bj9913n/nBD35gjGEf6+PKb+QNtWcHDx40kkxubq47k5OTYySZQ4cONfJVNb2rheWV8vLyjCRz7NgxY0zw95EfmUGS5Pf7JUkdO3aUJBUUFKioqEijRo1yZ8LDwzV06FDt3LlTkrRnzx5VV1cHzMTHxyspKcmdscWMGTM0fvx4jRw5MuA4+1g/GzZsUP/+/XX//ffL6/Xqzjvv1G9/+1v3PPtYP0OGDNF7772nP//5z5Kkjz76SDt27NC4ceMksY9fRUPtWU5OjhzH0cCBA92ZQYMGyXEcK/dV+uv3HY/Ho/bt20sK/j7yx10hY4zmzp2rIUOGKCkpSZJUVFQkSYqNjQ2YjY2N1bFjx9yZsLAwdejQoc7MF59vg4yMDH344YfavXt3nXPsY/385S9/0fLlyzV37lwtXLhQeXl5mj17tsLDw/Xwww+zj/X0zDPPyO/3q2fPnmrVqpUuX76sn/3sZ3rwwQcl8e/xq2ioPSsqKpLX663z+F6v18p9vXTpkubPn6/Jkye7f8w12PtIEEEzZ87Uxx9/rB07dtQ55/F4Au4bY+ocu1J9Zm4Wx48f1+OPP67NmzerTZs215xjH6+vtrZW/fv316JFiyRJd955pw4cOKDly5fr4YcfdufYx+t744039Nprr+n111/Xt771LeXn52vOnDmKj4/XlClT3Dn28ctriD272ryN+1pdXa3vf//7qq2t1W9+85sbzjfVPvIjM8vNmjVLGzZs0LZt29SlSxf3uM/nk6Q6xV1cXOz+PyWfz6eqqiqVlJRcc+Zmt2fPHhUXF6tfv34KDQ1VaGiosrOz9W//9m8KDQ1194F9vL64uDj17t074FivXr302WefSeLfY3099dRTmj9/vr7//e+rT58+SktL0xNPPKH09HRJ7ONX0VB75vP5dPr06TqPf+bMGav2tbq6Wg888IAKCgqUlZXlPjskBX8fCSJLGWM0c+ZMrV27Vlu3blW3bt0Cznfr1k0+n09ZWVnusaqqKmVnZ2vw4MGSpH79+ql169YBM4WFhdq/f787c7MbMWKE9u3bp/z8fPfWv39/PfTQQ8rPz9dtt93GPtbDd77znTq/9uHPf/6zEhMTJfHvsb4uXryokJDA/6y3atXKfds9+/jlNdSeJScny+/3Ky8vz53ZtWuX/H6/Nfv6RQwdPnxYW7ZsUadOnQLOB30fv9ZLstFiPfbYY8ZxHLN9+3ZTWFjo3i5evOjOLF682DiOY9auXWv27dtnHnzwwau+1bRLly5my5Yt5sMPPzTDhw+/qd+eWx9/+y4zY9jH+sjLyzOhoaHmZz/7mTl8+LBZvXq1iYyMNK+99po7wz7e2JQpU0znzp3dt92vXbvWxMTEmKefftqdYR/rKi8vN3v37jV79+41ksySJUvM3r173Xc/NdSejRkzxvTt29fk5OSYnJwc06dPn5vqbffX28fq6mqTmppqunTpYvLz8wO+71RWVrqPEcx9JIgsJemqt1deecWdqa2tNc8995zx+XwmPDzc3HXXXWbfvn0Bj1NRUWFmzpxpOnbsaCIiIkxKSor57LPPmvhqmpcrg4h9rJ933nnHJCUlmfDwcNOzZ0/zH//xHwHn2ccbKysrM48//ri59dZbTZs2bcxtt91mnn322YBvOOxjXdu2bbvqfw+nTJlijGm4PTt79qx56KGHTFRUlImKijIPPfSQKSkpaaKrbHzX28eCgoJrft/Ztm2b+xjB3EePMcZ8veeYAAAAWjZeQwQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADrEUQArHTmzBn5fD4tWrTIPbZr1y6FhYVp8+bNQVwZgGDgb5kBsNamTZs0YcIE7dy5Uz179tSdd96p8ePH66WXXgr20gA0MYIIgNVmzJihLVu2aMCAAfroo4+0e/dutWnTJtjLAtDECCIAVquoqFBSUpKOHz+uDz74QH379g32kgAEAa8hAmC1v/zlLzp16pRqa2t17NixYC8HQJDwDBEAa1VVVenb3/627rjjDvXs2VNLlizRvn37FBsbG+ylAWhiBBEAaz311FP6wx/+oI8++kjt2rXTsGHDFBUVpXfffTfYSwPQxPiRGQArbd++XS+99JJWrVql6OhohYSEaNWqVdqxY4eWL18e7OUBaGI8QwQAAKzHM0QAAMB6BBEAALAeQQQAAKxHEAEAAOsRRAAAwHoEEQAAsB5BBAAArEcQAQAA6xFEAADAegQRAACwHkEEAACsRxABAADr/T9OPsZcAoDBSgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dy1 = [100, 50, 200, 300]\n",
    "d2 = data.Data1D('errors', x1, y1, dy1)\n",
    "\n",
    "plot2 = plot.DataPlot()\n",
    "plot2.prepare(d2)\n",
    "\n",
    "plot2.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot2.plot(capsize=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Histogram-style data (with low and high edges) are handled similarly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xlo2 = [0.1, 0.2, 0.4, 0.8, 1.5]\n",
    "xhi2 = [0.2, 0.4, 0.6, 1.1, 2.0]\n",
    "y2 = [10, 12, 3, 0, 4]\n",
    "\n",
    "data3 = data.Data1DInt('int1', xlo2, xhi2, y2)\n",
    "\n",
    "plot3 = plot.DataHistogramPlot()\n",
    "plot3.prepare(data3)\n",
    "plot3.plot(xlog=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we want to see the data drawn \"like a histogram\" then we need to set the `linestyle` attribute:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot3.plot(xlog=True, linestyle='solid')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The histogram-style plots are an example of a plot using a different name for the preference settings, in this case `histo_prefs`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'xlog': False,\n",
       " 'ylog': False,\n",
       " 'label': None,\n",
       " 'xerrorbars': False,\n",
       " 'yerrorbars': True,\n",
       " 'color': None,\n",
       " 'linestyle': 'None',\n",
       " 'linewidth': None,\n",
       " 'marker': '.',\n",
       " 'alpha': None,\n",
       " 'markerfacecolor': None,\n",
       " 'markersize': None,\n",
       " 'ecolor': None,\n",
       " 'capsize': None}"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot.DataHistogramPlot.histo_prefs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Previously we explicitly set the error values, but we can also use one of the chi-square statistics to come up with error values. In this case it's just the square-root of the data value (so, for $x \\sim 1$ bin, we have an error of 0):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sherpa.stats import Chi2DataVar\n",
    "\n",
    "plot4 = plot.DataHistogramPlot()\n",
    "plot4.prepare(data3, stat=Chi2DataVar())\n",
    "plot4.plot(linestyle='dashed', marker=None, ecolor='orange', capsize=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PHA-related plots\n",
    "\n",
    "We start with an ARF from a rather simple instrument. This time we also use the `SplitPlot` class to create multiple plots (although this could be done just as easily with `matplotlib` functions):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "energies = np.arange(0.1, 11, 0.01)\n",
    "elo = energies[:-1]\n",
    "ehi = energies[1:]\n",
    "\n",
    "arf = 100 * np.ones_like(elo)\n",
    "arf[elo < 4] = 200\n",
    "\n",
    "darf = astrodata.DataARF('arf', elo, ehi, arf)\n",
    "aplot = astroplot.ARFPlot()\n",
    "aplot.prepare(darf)\n",
    "\n",
    "splot = plot.SplitPlot()\n",
    "\n",
    "splot.addplot(aplot)\n",
    "splot.addplot(aplot, xlog=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The preferences for the split plot are empty by default, because there are no backend-independent settings:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{}"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "splot.plot_prefs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, here we are using matplotlib and we can get \"hspace\" \"wspace\" etc as in [plt.subplots_adjust](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.subplots_adjust.html) to tweak the plot layout:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "splot.reset()\n",
    "splot.plot_prefs['hspace'] = 0.6\n",
    "\n",
    "splot.addplot(aplot)\n",
    "splot.addplot(aplot, xlog=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A PHA, which matches the ARF, can be created (with a sinusoidal pattern just to show something different):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "chans = np.arange(1, len(elo) + 1, dtype=np.int16)\n",
    "counts = 5 + 5 * np.sin(elo * 4)\n",
    "counts = counts.astype(int)\n",
    "\n",
    "dpha = astrodata.DataPHA('pha', chans, counts)\n",
    "\n",
    "pplot = astroplot.DataPHAPlot()\n",
    "pplot.prepare(dpha)\n",
    "\n",
    "pplot.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adding the ARF to the data allows us to change to `energy` units:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dpha.set_arf(darf)\n",
    "dpha.set_analysis('energy')\n",
    "\n",
    "pplot.prepare(dpha)\n",
    "pplot.plot(linestyle='solid', marker=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Grouping the data - in this case in 20-channel groups - allows us to check the \"x errorbar\" handling (the 'errors' here just indicate the bin width, and so match the overplotted orange line):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dpha.group_bins(20)\n",
    "\n",
    "pplot.prepare(dpha, stat=Chi2DataVar())\n",
    "pplot.plot(xerrorbars=True, yerrorbars=True)\n",
    "pplot.overplot(linestyle='solid', alpha=0.5, marker=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see how a model looks for this dataset - in this case a simple sinusoidal model which is multiplied by the ARF (shown earlier), and so is not going to match the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "apply_arf(sin)\n",
      "   Param        Type          Value          Min          Max      Units\n",
      "   -----        ----          -----          ---          ---      -----\n",
      "   sin.period   thawed            4        1e-10           10           \n",
      "   sin.offset   thawed            0            0  3.40282e+38           \n",
      "   sin.ampl     thawed            1        1e-05  3.40282e+38           \n"
     ]
    }
   ],
   "source": [
    "from sherpa.models.basic import Sin\n",
    "from sherpa.astro.instrument import Response1D\n",
    "\n",
    "mdl = Sin()\n",
    "mdl.period = 4\n",
    "\n",
    "# Note that the response information - in this case the ARF and channel-to-energy mapping - needs\n",
    "# to be applied to the model, which is done by the Response1D class in this example.\n",
    "#\n",
    "rsp = Response1D(dpha)\n",
    "full_model = rsp(mdl)\n",
    "print(full_model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the `ModelHistogram` class does not use the grouping of the PHA dataset, so it shows the model evaluated per channel:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mplot = astroplot.ModelHistogram()\n",
    "mplot.prepare(dpha, full_model)\n",
    "\n",
    "mplot.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The discontinuity at 4 keV is because of the step function in the ARF (200 cm$^2$ below this energy and 100 cm$^2$ above it).\n",
    "\n",
    "The `ModelPHAHistogram` class does group the model to match the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XrlyJwMBATJgwAQAQFBSEq1evYuXKlfD19WXrDR06VC45iI2NlTvP+vXr0bNnT8yYMQMAUK9ePVy+fBmHDx+uUryy16xduzZ++eUXtG7dGhkZGTA1NVX4fRk4cCDGjBkDAPjpp58QFhaG9evXy/2ffGzRokXo3LkzAOC7775D7969kZOTAyMjI8THx2PmzJlo0KABAMnPN9EcGtdyNHnyZBw8eBBnzpyBs7Mze7zoD9vHLUDJyclsa5KDgwNEIhFSUlJKrVMSgUAAc3NzuZu2EeWL0WaxNDHq0dgBcUt7w7OmBXg8HiZ3rYuYn3vKPafnugvVHSZRMVtbW/Tu3RuhoaHYtm0bevfuDVtbW7k6T58+RV5eHtq3b88eMzQ0ROvWrdlv2tHR0Wjbtq3clw4fHx+589y8eRMhISEwNTVlb/7+/hCLxcU+WGXNnDkTkZGRcreSBpIXadq0Kbp27QovLy8MHDgQf/zxR7G/AR+Ljo5G06ZN2cQIANq3bw+xWIxHjx4hNTUVr1+/RuvWrdnH9fX10bJly2Ln8vb2LnbszJkz8PPzQ82aNWFmZoYvv/wS7969k+tSFAqFbGIESFq43dzc5D7w7e3tK9yF1LhxY7lVgx0dHcs8R3R0tNz/NSB5Lz5uVSnpdcp69OiR3PsFoNj9ysR7+/ZtfP7556hVqxbMzMzQpUsXAEB8fHy555b18c+nj49PuS1HTZo0kYsLABtbUFAQxowZg27dumHp0qV4+vRpheIh3NKYliOGYTB58mQcOHAAZ8+ehbu7u9zj7u7ucHBwQFhYGDs+QiQS4dy5c+y31ZYtW8LQ0BBhYWEYNGgQAMm3yqioqGLf7HRN68XSAemfNnHEhqEtitXhG+ghdkkvuM+RfDt+9Dodx+4loqdX5fev0XbGhvp4sNCfs2tXxqhRo9juo19//bXY40XddWW10irSpScWizFu3DhMmTKl2GNlDQC3tbWFh4eH3LGisYcl0dfXR1hYGC5fvoyTJ09i/fr1mDdvHq5du1bs70hJr+VjssdLeg8+JptgAcDz58/Rq1cvjB8/Hj/99BOsra1x8eJFjB49Wm4szcddMDwer8RjYnHFJktU5hyKtMh//Do/VtJzFPk5KSvezMxMdO/eHd27d8eOHTtQo0YNxMfHw9/fXymD38vrdZCNrahuUWzBwcEYOnQojhw5gmPHjmH+/PnYs2cP29JI1JvGtBxNnDgRO3bswK5du2BmZoakpCQkJSWxM2t4PB6mTZuGxYsX48CBA4iKikJgYCCEQiGGDh0KQDKDZfTo0Zg+fTrCw8Nx+/ZtDB8+HF5eXujWrRuXL49TJ+4n4UOW9I9ySYlRER6Ph6gF0g/7b3beQraIlkEoDY/Hg5BvwMmtsqvE9ujRAyKRCCKRCP7+xRM7Dw8P8Pl8uW7tvLw83LhxAw0bNgQANGrUCFevXpV73sf3W7Rogfv378PDw6PYjc/nVyr20vB4PLRv3x4LFizA7du3wefzceDAAQAAn88vNqi5UaNGiIyMlGvJuXTpEvT09FCvXj1YWFjA3t4e169fZx8vKCjA7du3y43lxo0byM/Px6pVq9C2bVvUq1cPr169UtIrVb6GDRsWG8Jw+fJl9v9aUQ0aNJB7vwBUeYDyw4cP8fbtWyxduhQdO3ZEgwYNKjUYGyj+83n16lW2S6yy6tWrh2+//RYnT55EQECA3Hg+ot40puVo06ZNAMA2mRbZtm0bO/hu1qxZyM7OxoQJE5CSkoI2bdrg5MmTMDMzY+uvWbMGBgYGGDRoELKzs9G1a1eEhIRUenM6jcAwQF5WiQ+JxQymbb8E48L7t3/wA0RlzxYy5QF/DG6AKXsiAQAjt17D3+PbKTFgwiV9fX22O6Gk3wsTExN88803mDlzJqytreHq6orly5cjKysLo0ePBgCMHz8eq1atQlBQEMaNG8d2ocmaPXs22rZti4kTJ2Ls2LEwMTFBdHQ0O9ZDWa5du4bw8HB0794ddnZ2uHbtGt68ecN+uLu5ueHEiRN49OgRbGxsYGFhgWHDhmH+/PkYOXIkgoOD8ebNG0yePBkjRoxgu+AnT56MJUuWwMPDAw0aNMD69euRkpJSblJap04d5OfnY/369ejTpw8uXbqEzZs3K+31KtvMmTMxaNAgtGjRAl27dsWhQ4ewf//+Ci9/MnnyZHTq1AmrV69Gnz59cPr0aRw7dqxKWz24urqCz+dj/fr1GD9+PKKiovDTTz9V6lz//PMPvL290aFDB+zcuRPXr1/Hli1bKnWu7OxszJw5EwMGDIC7uztevHiBiIgI9O/fv1LnI9VPY5IjRZpfeTwegoODERwcXGodIyMjrF+/Xql/fNUawwBb/YGEayU+rAcgWnbc6wrFTusn87yIV/XwKuUcnKxow1VtUd64uqVLl0IsFmPEiBFIT0+Ht7c3Tpw4wc4EdXV1xb59+/Dtt99i48aNaN26NRYvXiw3eLZJkyY4d+4c5s2bh44dO4JhGNSpU6dCg4sVfS3nz5/H2rVrkZaWhlq1amHVqlXsYPKxY8fi7Nmz8Pb2RkZGBs6cOYMuXbrgxIkTmDp1Klq1agWhUIj+/ftj9erV7Hlnz56NpKQkfPnll9DX18fXX38Nf3//cr9oNWvWDKtXr8ayZcswZ84cdOrUCUuWLMGXX36p1NetLH379sW6deuwYsUKTJkyBe7u7ti2bVuxL6rlad++PTZv3owFCxbg+++/h7+/P7799lts2LCh0rHVqFEDISEhmDt3Ln755Re0aNECK1euxGeffVbhcy1YsAB79uzBhAkT4ODggJ07d5Y6yL88+vr6ePfuHb788ku8fv0atra2CAgIwIIFCyp1PlL9eAzNya6wtLQ0WFhYIDU1Vf0HZ4sygcVOKr9Ms/wQRP6s233pOTk5iI2Nhbu7e6kzrYj2EovFaNiwIQYNGlTp1gtdM3bsWDx8+BAXLtDkDqI8Zf0tVvTzW2NajogSzHgC8KWtOwsPPcDuCMmMjt1j26KZi2XFzifKAlZKBsbm5osR/y4LrjbUekR0w/Pnz3Hy5El07twZubm52LBhA2JjY9kxjqS4lStXws/PDyYmJjh27BhCQ0PLnCpPCFcoOdIlfCHAl8woyS8QY2tEMgBJVt2sTs0qn/6rkOsIn96lyuchRBPo6ekhJCQEM2bMAMMw8PT0xKlTpyo8UFmXXL9+HcuXL0d6ejq7JlHR2kKEqBNKjnTUlovSdWR2jWmjlHM+fZOJtJw8mBvRKrBE+7m4uODSpUtch6FR/v77b65DIEQhGjOVnyjXkmMP2XI7D9syalbMgoMPlHYuQgghhAuUHOmgqJepbHn5gCZl1FScQeE2IvtuvaB91wghhGg0So500NQ90oXqBrRwLqOm4raMbMWWT9x/rZRzEkIIIVyg5EjH5OQV4OkbySKPvvVrKG3j2Nbu0u0bZv17RynnJIQQQrhAyZGO2X1duhlj8GeNlXru4W0l+2Gl5eTTliKEEEI0FiVHOubnI9JdpmvZlL1RZEVN+aQuW9557blSz00IIYRUF0qOdEhqVh4KxJLB0lO61i2ndsXZmUtXIl0qMxuOEAA4e/YseDwePnz4oPBz3NzcsHbtWpXFpCyVeW1E9cr7+YmLiwOPx0NkZGS1xVSEy58ZRa4dEhICS0tLpV+bx+Phv//+U/p5lY2SIx2yS6ZLbWxHd5VcY7pfPQBAvphBcnqOSq5BlC8wMBA8Hg/jx48v9tiECRPA4/HYDZ655ObmBh6PBx6PB6FQCE9PT/z222/s42X9QS/tj/LXX38NfX197Nmzp9hjwcHBaNasWbHjH3+otmvXDomJibCwsCj3NVAiVTmq+FB1cXFBYmIiPD09lXpeVenSpQumTZtWLdf64osvEBMTo/TzJiYmsvsaqjNKjnTIL6cfs2UzFS3UOLK9G1uWXWiSqD8XFxfs2bMH2dnZ7LGcnBzs3r0brq6uHEYmb+HChUhMTMTdu3fRt29fjB8/Hnv37q3UubKysrB3717MnDmz0juwAwCfz4eDg0OVdphXhYKCAojFYq7DUFv6+vpwcHCAgQGth/wxY2Nj2NnZKf28Dg4OEAgESj+vslFypIPm9VLd9gbmRobg60t+rH4790xl1yHK16JFC7i6umL//v3ssf3798PFxQXNmzeXq5ubm4spU6bAzs4ORkZG6NChAyIiIuTqHD16FPXq1YOxsTF8fX0RFxdX7JqXL19Gp06dYGxsDBcXF0yZMgWZmZllxmlmZgYHBwd4eHjg559/Rt26dSvdovDPP/+gUaNGmDNnDi5dulRijIr4uDXo+fPn6NOnD6ysrGBiYoLGjRvj6NGjiIuLg6+vLwDAyspKrkVOkff04MGDqFu3LvuehoaGyl23qOXs8OHDaNSoEQQCAZ4/f46IiAj4+fnB1tYWFhYW6Ny5M27duiV3bh6Ph99++w2ffvophEIhGjZsiCtXruDJkyfo0qULTExM4OPjg6dPn5b6PhS1qP3999/o2LEjjI2N0apVK8TExCAiIgLe3t4wNTVFjx498ObNG/Z55cXn5uYGAOjXrx94PB57v+g98fb2hpGREWxtbREQECAXU1ZWFkaNGgUzMzO4urri999/LxZvUQtg0f9jeHg4vL29IRQK0a5dOzx69EjunD///DPs7OxgZmaGMWPG4LvvviuxhVFWeb8P7969w5AhQ+Ds7AyhUAgvLy/s3r2bfTwwMBDnzp3DunXr2NbTuLg4FBQUYPTo0XB3d4exsTHq16+PdevWlRlLkUuXLqFp06YwMjJCmzZtcO/ePfaxj1thi1pRt2/fDjc3N1hYWGDw4MFIT09n63Tp0gVTpkzBrFmzYG1tDQcHBwQHB8tdU7YFsOj9379/P3x9fSEUCtG0aVNcuXJF7jl//PEHXFxcIBQK0a9fP6xevVolXX6yKDnSQYO8XVR6/oWfS2fBpefkqfRaao9hAFEmN7dKLMb51VdfYdu2bez9rVu3YtSoUcXqzZo1C/v27UNoaChu3boFDw8P+Pv74/379wCAhIQEBAQEoFevXoiMjGQ/QGTdu3cP/v7+CAgIwN27d7F3715cvHgRkyZNqlDMRkZGyMur3M/Zli1bMHz4cFhYWKBXr15yr70qJk6ciNzcXJw/fx737t3DsmXLYGpqChcXF+zbtw8A8OjRIyQmJrIfZOW9p3FxcRgwYAD69u2LyMhIjBs3DvPmzSt27aysLCxZsgR//vkn7t+/Dzs7O6Snp2PkyJG4cOECrl69irp166JXr15yH2wA8NNPP+HLL79EZGQkGjRogKFDh2LcuHGYM2cObty4AQAK/f/Mnz8f33//PW7dugUDAwMMGTIEs2bNwrp163DhwgU8ffoUP/74I1u/vPiKksRt27YhMTGRvX/kyBEEBASgd+/euH37NpvUyFq1ahW8vb1x+/ZtTJgwAd988w0ePix7TOS8efOwatUq3LhxAwYGBnK/Azt37sSiRYuwbNky3Lx5E66urti0aVOZ51Pk9yEnJwctW7bE4cOHERUVha+//hojRozAtWvXAADr1q2Dj48Pxo4di8TERCQmJsLFxQVisRjOzs74+++/8eDBA/z444+YO3euQlu1zJw5EytXrkRERATs7Ozw2Weflfm79PTpU/z33384fPgwDh8+jHPnzmHp0qVydUJDQ2FiYoJr165h+fLlWLhwIcLCwsqMY968eZgxYwYiIyNRr149DBkyBPn5+QAkCdz48eMxdepUREZGws/PD4sWLSr3tVUZQyosNTWVAcCkpqZyHUr5cjMYZr45w8w3ZxrM/pdp+MMxlZybyc1gD2fk5DG1Zh9mas0+zOy8+lx511Nz2dnZzIMHD5js7GzpQdn3qLpvMv8n5Rk5ciTz+eefM2/evGEEAgETGxvLxMXFMUZGRsybN2+Yzz//nBk5ciTDMAyTkZHBGBoaMjt37mSfLxKJGCcnJ2b58uUMwzDMnDlzmIYNGzJisZitM3v2bAYAk5KSwjAMw4wYMYL5+uuv5eK4cOECo6enx76HtWrVYtasWcM+Lns/Ly+P2bZtGwOA2bhxI8MwDHvfxMSk2A0Ac+DAAfZcMTExjKGhIfPmzRuGYRjmwIEDjIuLC1NQUMDWmT9/PqOnp1fsXEKhkAHA3L59m2EYhjlz5ozca/Py8mKCg4NLfK8/rqvoezp79mzG09NT7lzz5s2TO1fR64+MjCzx2kXy8/MZMzMz5tChQ+wxAMz333/P3r9y5QoDgNmyZQt7bPfu3YyRkVGp542NjWUAMH/++afccwAw4eHh7LElS5Yw9evXr3B8sv9/DMMwPj4+zLBhw0o9T61atZjhw4ez98ViMWNnZ8ds2rRJLt6P/x9PnTrFPufIkSMMAPZnsk2bNszEiRPlrtO+fXumadOmpcahyO9DSXr16sVMnz6dvd+5c2dm6tSppdYvMmHCBKZ///6lPl70Ovfs2cMee/fuHWNsbMzs3buXYRjJz5KFhQX7+Pz58xmhUMikpaWxx2bOnMm0adNGLr4OHTrIXatVq1bM7Nmz2fuy/48l/bzcv3+fAcBER0czDMMwX3zxBdO7d2+5cw4bNkwuto+V+Le4kKKf39RypGMC27mp/BomAmn//c9HaK81TWJra4vevXsjNDQU27ZtQ+/evWFrK7/33tOnT5GXl4f27duzxwwNDdG6dWtER0uWioiOjkbbtm3lxuD4+PjInefmzZsICQmBqakpe/P394dYLEZsbOnj1WbPng1TU1MYGxtj4sSJmDlzJsaNG8c+bmZmhsjIyGK3j23ZsgX+/v7s6+vVqxcyMzNx6tQpuXr169cvdq6jR4+W+T5OmTIFP//8M9q3b4/58+fj7t27ZdZX5D199OgRWrVqJfe81q1bFzsXn89Hkyby2wIlJydj/PjxqFevHiwsLGBhYYGMjAzEx8fL1ZN9nr29PQDAy8tL7lhOTg7S0tLKfD2KnCc5ObnC8X0sMjISXbt2VTgWHo8HBwcHuWuX9xxHR0c2RkDy//Dx+17S/4MsRX4fCgoKsGjRIjRp0gQ2NjYwNTXFyZMny30PAGDz5s3w9vZGjRo1YGpqij/++EOh58nGYG1tjfr167M/byVxc3ODmZkZe9/R0bHYe/nxz15JdT6m7PdbGWgUmo750setWq4zuoM7tlyMRZaoAKJ8MfgGOpqHGwqBua+4u3YljBo1iu06+fXXX4s9zhR21308+JhhGPYYo0CXnlgsxrhx4zBlypRij5U1AHzmzJkIDAyEUCiEo6NjsTj09PTg4eFR5rULCgrw119/ISkpSW4wbkFBAbZs2YLu3buzx/h8frHzlTeAd8yYMfD398eRI0dw8uRJLFmyBKtWrcLkyZNLrK/oe1rS4x8zNjYuVi8wMBBv3rzB2rVrUatWLQgEAvj4+EAkEsnVMzSUTtQoOkdJx8ob5K3IeWTPoWh8Jb3W8shet6RrKxq/7HMU+X+oyOOApPtvzZo1WLt2Lby8vGBiYoJp06aV+x78/fff+Pbbb7Fq1Sr4+PjAzMwMK1asYLvjKqqsSQWKvJfKfr8V/blXNh39xNJdDhZG5VdSgpEySdiVZ++q5ZpqiccD+Cbc3Co5c6pHjx4QiUQQiUTw9/cv9riHhwf4fD4uXrzIHsvLy8ONGzfQsKFksH+jRo1w9epVued9fL9Fixa4f/8+PDw8it34fH6p8dna2sLDwwNOTk6Vnh129OhRpKen4/bt23ItQv/88w/+++8/vHtX9Z9ZFxcXjB8/Hvv378f06dPxxx9/AAD72goKpKvIK/KeNmjQoNgA7aJxQOW5cOECpkyZgl69eqFx48YQCAR4+/ZtlV6fMikSn6Ghodx7BkhaHMLDw6szVNSvXx/Xr1+XO1be/4Mivw8XLlzA559/juHDh6Np06aoXbs2Hj9+LFeHz+cXew8uXLiAdu3aYcKECWjevDk8PDzKHDRfWgwpKSmIiYlBgwYNFHpudWnQoEGF329loORIy4nF0gy7v5I2mVWEq4201eLXM0+q7bqk6vT19REdHY3o6Gjo6+sXe9zExATffPMNZs6ciePHj+PBgwcYO3YssrKyMHr0aADA+PHj8fTpUwQFBeHRo0fYtWsXQkJC5M4ze/ZsXLlyBRMnTkRkZCQeP36MgwcPltq6okxbtmxB79690bRpU3h6erK3/v37o0aNGtixY0eVzj9t2jScOHECsbGxuHXrFk6fPs0mObVq1QKPx8Phw4fx5s0bZGRkKPSejhs3Dg8fPsTs2bMRExODv//+m31Py0sSPTw8sH37dkRHR+PatWsYNmyYQq0u1UWR+Nzc3BAeHo6kpCSkpKQAkAz83r17N+bPn4/o6Gjcu3cPy5cvV2mskydPxpYtWxAaGorHjx/j559/xt27d8v8P1Dk98HDwwNhYWG4fPkyoqOjMW7cOCQlJcnVcXNzw7Vr1xAXF4e3b99CLBbDw8MDN27cwIkTJxATE4MffvihWBJdmoULFyI8PBxRUVEIDAyEra0t+vbtW9G3RKUmT56Mo0ePYvXq1Xj8+DF+++03HDt2TOXLZlBypOWev89iy1+oeJbax9p72AAArse+r5ZmUKI85ubmMDc3L/XxpUuXon///hgxYgRatGiBJ0+e4MSJE7CysgIg6Rbbt28fDh06hKZNm2Lz5s1YvHix3DmaNGmCc+fO4fHjx+jYsSOaN2+OH374gR1zoCqvX7/GkSNH0L9//2KP8Xg8BAQEVGnNI0DSKjRx4kQ0bNgQPXr0QP369bFx40YAQM2aNbFgwQJ89913sLe3Z7swy3tP3d3d8e+//2L//v1o0qQJNm3axM5WK2/dmK1btyIlJQXNmzfHiBEj2CUD1IUi8a1atQphYWFyS0t06dIF//zzDw4ePIhmzZrhk08+qXR3kqKGDRuGOXPmYMaMGWjRogViY2MRGBgII6PSW+UV+X344Ycf0KJFC/j7+6NLly5wcHAolqjMmDED+vr6aNSoEWrUqIH4+HiMHz8eAQEB+OKLL9CmTRu8e/cOEyZMUOi1LF26FFOnTkXLli2RmJiIgwcPltlqy4X27dtj8+bNWL16NZo2bYrjx4/j22+/LfP9VgYeQ59aFZaWlgYLCwukpqaW+QGiDn45Fokp1zoDAPJmv4ChsVk5z6gAUSaw2ElSnvtK0pUj49KTtxj2p+QP1cXZvnC2qtwYGE2Rk5OD2NhYuLu7q/wXlxAAWLRoETZv3oyEhASuQ9Fpfn5+cHBwwPbt27kORSeMHTsWDx8+xIULF0p8vKy/xYp+ftOAbC239VIsphT+LxvqV29DYXsP6Synf2++wLRu9ar1+oRom40bN6JVq1awsbHBpUuXsGLFigqvC0WqJisrC5s3b4a/vz/09fWxe/dunDp1qty1fEjlrVy5En5+fjAxMcGxY8cQGhrKtsSqCiVHWixbVIDcfDGn/8tCvj6yRAXYciGWkiNCqqhojMv79+/h6uqK6dOnY86cOVyHpVN4PB6OHj2Kn3/+Gbm5uahfvz727duHbt26cR2a1rp+/TqWL1+O9PR01K5dG7/88gvGjBmj0mtScqTFbjx/z3UI+NLHDZvPPUV6bj7XoRCi8dasWYM1a9ZwHYZOMzY2LrYWFlEtRVb7VjYakK3Ffj/P/d5mg1tJB4HfiOM+WSOEEELKQ8mRFrvwmPt1TGrJTOnfd+sFh5FUH5rjQAgh3FHG32BKjrTUh6yyV1WtLjweD141LQAAt55/4DYYFSta5TUrK6ucmoQQQlSl6G/wx6t1VwSNOdJS4dFl72VTnYa0dsW9A/fw6HU6MnPz5fZe0yb6+vqwtLRk9wQSCoUqX6iMEEKIBMMwyMrKQnJyMiwtLUtcxFZR2vkpRXA25g3XIbA616/Blh8kpqGVmzWH0aiWg4MDAJS70SIhhBDVsLS0ZP8WVxYlR1rq0B3JZqeDvF2AKG5jqWlpDBO+PjJFBfjnRoJWJ0c8Hg+Ojo6ws7NDXl4e1+EQQohOMTQ0rFKLURGNSo7Onz+PFStW4ObNm0hMTMSBAwfkllcPDAxEaGio3HPatGkjt7lebm4uZsyYgd27dyM7Oxtdu3bFxo0b4excffuOqVqGzLT5TvVqcJ4cAYB7DRNEvUzD3zdeYPmAplyHo3L6+vpK+QUlhBBS/TRqQHZmZiaaNm2KDRs2lFqnR48eSExMZG9Hjx6Ve3zatGk4cOAA9uzZg4sXLyIjIwOffvppsZ2ONdlFmVlqzZwtOIxEql9zafJZIKbZXIQQQtSXRrUc9ezZEz179iyzjkAgKLWvMTU1FVu2bMH27dvZ1Ux37NgBFxcXnDp1Cv7+/kqPmQvbLsUCAMwEBrAxLXtDyuryWVMn/HT4AQDg/qtUNHG25DYgQgghpBQa1XKkiLNnz8LOzg716tXD2LFj5QbG3rx5E3l5eejevTt7zMnJCZ6enrh8+XKp58zNzUVaWprcTZ29/JANAKjnoMRNZqvI2kS60/PFJ9yvv0QIIYSURquSo549e2Lnzp04ffo0Vq1ahYiICHzyySfIzc0FACQlJYHP58PKykruefb29khKSir1vEuWLIGFhQV7c3FxKbUu1z5kifAiRZIcjengXn0XFmUBosxSb/r5Wfi0gTmMkYM/w6PKrMveaDFFQgghHNCobrXyfPHFF2zZ09MT3t7eqFWrFo4cOYKAgIBSn8cwTJnr0cyZMwdBQUHs/bS0NLVNkGJeZ7Blnzo2AKppxtRKj3KrbAAAo8I7ixU4p0tbYNRxgNYKIoQQUo20quXoY46OjqhVqxYeP34MQLIGjUgkQkpKily95ORk2Nvbl3oegUAAc3NzuZu6+i/yJQDAQI8HSyG/nNpVZCiUJDCqknAVyKPVpgkhhFQvrWo5+ti7d++QkJAAR0dHAEDLli1haGiIsLAwDBo0CACQmJiIqKgoLF++nMtQleZgpGR9I6/qmKXG40ladhRMYMRiBo2DTwAAZvk3wFft3UquKMpSqCWKEEIIUQWNSo4yMjLw5MkT9n5sbCwiIyNhbW0Na2trBAcHo3///nB0dERcXBzmzp0LW1tb9OvXDwBgYWGB0aNHY/r06bCxsYG1tTVmzJgBLy8vdvaapita46hbw9JbwpSKxwP4JgpV1QMgEJrhQ1YeLjzPwle+ij2PEEIIqU4alRzduHEDvr6+7P2icUAjR47Epk2bcO/ePfz111/48OEDHB0d4evri71798LMTDpra82aNTAwMMCgQYPYRSBDQkK0YsG+FynSFpzPmzlxGEnphrZ2xcazT3H6IW2vQQghRD1pVHLUpUsXMGXMYDpx4kS55zAyMsL69euxfv16ZYamFs7J7KdWw0w91jf6WJvaNth49ikAICVTBCsTFY+LIoQQQipIqwdk65otFySLP7Z2s4bAQD1bwjrXk25Cey32PYeREEIIISWj5EgL2ZppRmtMdKJ6L6ZJCCFEN1FypCXeZ4rw7G0mAGBYm1ocR1O2Ia1dAQDrwh9zHAkhhBBSHCVHWuLpG+nij40c1XcdJgBwtjIGAOjR2o6EEELUECVHWmL7lecAADcbodoPci5aZkDMADGv0zmOhhBCCJFHyZGWSM+RbBOiCbuR1a4hXd+IkiNCCCHqhpIjLZBfIMaZR5Jp/CN93LgNRgGG+npoWUuy+e+mwmn9hBBCiLqg5EgLZIoK2HLHurYcRqI4S2NDAIAoX8xxJIQQQog8So60wPGoRLbsZqsZW3L0bV4TAPA4OQNphV2ChBBCiDqg5EgLvEjJZsuG+prxX+pTx4YtJ6flchgJIYQQIk8zPklJmdaflmzGO7ClM8eRKM7WVAAzgWT3mn9uJnAcDSGEECJFyZEWKFovqL6DWdkV1UxB4T55adnUrUYIIUR9UHKk4Z4kp0NcOH9ftqtKEwS2cwMA7L5OLUeEEELUByVHGi72bRZbrmunWS1HzVwsuQ6BEEIIKYaSIw3354VnACSJBt9As/47m8okR7fiU7gLhBBCCJGhWZ+mpJiihMhAAzcqq2EqYMuPkmilbEIIIeqBkiMNJsoX48LjtwCAoW1cOY6m4vT0eOw+a7+do5WyCSGEqAdKjjRYUmoOW27ibMldIFUgMJT8CAr5BhxHQgghhEhQcqTBrj57BwAQGOjBw86U42gq5wtvFwDAg8Q0ZMtsg0IIIYRwhZIjDVa0o32uBu9PVruGdLuTB4lpHEZCCCGESFBypMH+uvocADCmgzvHkVSes5UQVkLJJrTXY99zHA0hhBBCyZFGExeu/mgi0OzxOuk5+QCA+69SOY6EEEIIoeRIY2Xk5iO/MDkaoEF7qpVkoq8HAODw3USOIyGEEEIoOdJYpx8ms2VzI0MOI6k6RwsjtpyTR4OyCSGEcIuSIw31JDkDAGBsqA8LoWYnR72aOLLljNx8DiMhhBBCKDnSWPtvvQAANHG24DiSqjM21GfLh++84jASQgghhJIjjVXU/dSpXg2OI6k6Q309GBUuBvk+U8RxNIQQQnQdJUfqgmEAUaZCt+T375CZkQZj5MDTzqCc+llcvzKF9PKUdK39cvoJx5EQQgjRdZo9B1yb5GUBi50UqmoHILpoDPM/KouoWjV0NAduv5QbnE0IIYRwgVqOdIVLW8BQyHUUpWpT2xoAkJiag9fpOeXUJoQQQlSHWo7UhaEQmKvYYOS5B+7hwO2X4Bvo4c6P3RU/P49XhQBVy91Wuo1IdGIa7DmMhRBCiG7TqJaj8+fPo0+fPnBycgKPx8N///0n9zjDMAgODoaTkxOMjY3RpUsX3L9/X65Obm4uJk+eDFtbW5iYmOCzzz7DixcvqvFVlILHA/gmCt123X6HbBhhfLcmCj9HnRMjADAzMkRjJ3MAwOUn7ziOhhBCiC7TqOQoMzMTTZs2xYYNG0p8fPny5Vi9ejU2bNiAiIgIODg4wM/PD+np6WydadOm4cCBA9izZw8uXryIjIwMfPrppygo0IzFB3PzpXFaafj6Rh8rmqn2tHANJ0IIIYQLGtWt1rNnT/Ts2bPExxiGwdq1azFv3jwEBAQAAEJDQ2Fvb49du3Zh3LhxSE1NxZYtW7B9+3Z069YNALBjxw64uLjg1KlT8Pf3r7bXUllZudLkSHbxRG0wrlNtBB96gMvP3gE0LpuUQpQvxocsEfT0eLAwNoShvkZ9xyNaiGEYZOTmIzO3QCsW5iUalhyVJTY2FklJSejeXToGRyAQoHPnzrh8+TLGjRuHmzdvIi8vT66Ok5MTPD09cfny5VKTo9zcXOTm5rL309LSVPdCynHknnT/Mb6WfSjUMKOMiJTs3otU9Nlwscw6Z2Z0kRu7RogqMQyDpccf4rdzz0qt80kDO/zxpTf09dR7WAMpTmuSo6SkJACAvb38UF57e3s8f/6crcPn82FlZVWsTtHzS7JkyRIsWLBAyRFXTlpOHgDAyFAPRjIrS2uDTxrYcR0CUTNvM3Lh/fMpher6rjwLAIha4A9Tgdb8aSNcYxjJUisy9kYkIPiQZDyrcRlPvfIwHp5z4xHQoiYW9fUqXkHNJ8roMq37C8L76AeNYZhixz5WXp05c+YgKCiIvZ+WlgYXF5eqBVpJq0/GAAC6N3Lg5PqqZMzXl7SGacbwL6Jif12Jw4//k59QYW8uwF+j2qCunSkA4HZCCvpvuiJXx3P+CWwe3hI9PLXvd4RUM4YBtvoDCdfkDn8B4IuKNHQ/KLx9zKUtMOo4JUhqSGuSIwcHyR/CpKQkODpKx+IkJyezrUkODg4QiURISUmRaz1KTk5Gu3btSj23QCCAQCBQUeQVU9PKGM/fZWlt94GoQFzmNzGiG77adh1nHr1h7ztZGOHC7E+KdU+0rGWNuKW9kVcgRt15x9jj43fcRGA7NwR/1rjaYiZaKC+rWGKkVAlXJdfga+ffc02mNcmRu7s7HBwcEBYWhubNmwMARCIRzp07h2XLlgEAWrZsCUNDQ4SFhWHQoEEAgMTERERFRWH58uWcxa6otJw8PH8nad7Vhj3VSjK2ozt2XIjmOgzCoUG/XcH12Pfs/b/H+aC1u3WZzzHU10Pc0t44HpWI8TtuAQBCLschIzcfKwc2VWm8RDe0zNmELEi/JN/5sTv4BoqN++yw7AzeZUrHrZ6a1Ao1/yyhm42oDY1KjjIyMvDkiXTvrdjYWERGRsLa2hqurq6YNm0aFi9ejLp166Ju3bpYvHgxhEIhhg4dCgCwsLDA6NGjMX36dNjY2MDa2hozZsyAl5cXO3tNnd1J+MCWXay1s33FzIhmeeiyWf/ekUuMbv3gB2sTvsLP7+HpiAuzfNFx+RkAwL83X8Dd1gQTfT2UHivRLVkQIBtGsBQaIlLRxXcLXfzhU8z69w7+viFZU6/bhgjpFlBELWnUdKcbN26gefPmbMtQUFAQmjdvjh9//BEAMGvWLEybNg0TJkyAt7c3Xr58iZMnT8LMzIw9x5o1a9C3b18MGjQI7du3h1AoxKFDh6Cvr/6Dm5+9yQQAOFoYwU5LZ3b1bVaT6xAIR/4X+ZL98ACAO/O7VygxKuJiLcTVOV3Z+ytOPMLlJ2+VEiPRbTXMBBVOjIosH9AUI31qKTkioio8hmEYroPQNGlpabCwsEBqairMzc2r7brD/ryKS0/ewcnCCJdl/vhrk7cZuej482FEG42SHJj7ivrjdUDC+yy2tQcArs3tCnvzEr4AlDBzqDSPkzPwmcz0/0uzPyk/2aLZQ0TGtO0XsfZpbwBAw5ytiF7av8rnHPz7Fdx59or+xnFE0c9vjepW03V5+ZI8tntj7Z2FY2uqHgPfSfVhGEYuMdo1pk3piVEJM4dKUxeQ77pYp8CTaPYQKXTzeQpO3H/NLkgbFaycRYL3fO2Dht/tY+9vPvcU4/2aKOXcRHk0qltNl+XkFeB6nGQsRgMHs3Jqa7Z2tW24DoFUo0G/SafiD2ntinYetiVXVPXMIUA6e4joNFG+GP03XZY7psyFHGU3DF8X/hiv03KUdm6iHNRypCFSs/PYckctnalWpIYZtR7pipvPUxARl8LeXxKg4AyeGU8AvlChqgzDoNH8E+z9o1M6Fl8KQ5QFrKRB20Sik0xLpip8PMutzeJwxC7pVe6afKT6UMuRhniQKNmyxECPh5qW2jlTrYifTLdhfoGYw0hIpTEMIMos88bkZmD4ptMwRg6MkYMbs3zKeY5Miw5fKBmnocCNJzDFsRk9kA0jZMMIvr9ElFBPsUSLaL+bz98jiYOWnF/PPCm/Eqk21HKkISIKpzfni7V//LyzlTT5e5yciYa1tLsbUesoODaIh4/GBP2iupDcbE0wpLULdl9PACD5IKLp/eRjBWJGbsX163O7Aqur59orT8bgy3ZuMKflTNQCtRxpiEdJ6QCAAS2dOY5E9erbS5OhD9kiDiMhlaLqsUEubSWzyipIdm+rFSceIVtE+9QQecuPP2TL0/3qVcu6a3u/9mHLfdaXvbkyqT7UcqQhwh8mA5BsOKtL/hf5Ej4NXLkOg1RWKWODOi4/g7cZkhWDD03qAI/CvdIUUsnp9np6POwa2wZD/5AkbsO3XMO+b0rfNojolpy8Avx2/hl7f3LXupLuXBVr4mwBOzMBktNz8fxdFmLfZmrt9lCaRLc+aTWYCV+ySKU2bjhbFgM9+hHVaCWMDbr/Nh8JGTxkwwhWFpbwcLZXePwQ+CZVmmbfro50JtzN5yl4+SFbGa+SaIHPN1xiy/9NbF+t1z75bSe27LvybLVem5SMPnk0QOzbTGQWdgHUtNLuwdgf23frBWidUu3S+xdp10FYUOdqv37EPOlWQT3Wnq/26xP1k5yeg0evJUMXLIwN0czFslqvbynko38L6ZCJM4+Sq/X6pDhKjjTAvZepbNlZx5IjQDcGoeuKW/HSafsBLWrCRFD9Pfs1zARo6mwBAEjPyUfCe1rXSNcN3CwdhH18WkdOYpBdxuKrbRGcxECkKDnSAJHxHwAAbWtbQ2Cg/nvAKduHrLzyKxGNELBRurDe0gDuVgXePqYNW+6o4jVtiHp79SEbz99JEuTatiZwtODmCyjfQA9Tu9Zl75+l1iNOUXKkAa4+ewdA8i1XF524n8R1CEQJLsls/jqmg3uxhfCqk7mRIbo1tGfvF3WpEN3jv0batfrfpOoda/Sxad2kyVEgtR5xipIjDZAvliyEKNsnrUtoyrV2GPandHr/dz0bcBiJxC9DmrHlj7eKILrhRUoW0nMlXzrbe9hwvsYQj8fDrB712fvHo+iLIVcoOVJzqdl5iHmdAQBwsixhM04dsCrsEdchkCqSHWs0qr07DPS5/9Mj5BugW0M7AJLF/4jukR3bs3FoSw4jkRrXqQ5bHr/jJoeR6Dbu/0KRMiWlSpex93az5jAS7jhxNAaAKM/g36+y5dk965dRs3qt/qIZ1yEQjqRm5eFxsuSLZ50aJrAQqsfK1Pp6PLmxRzefp5RRm6gKJUdq7mGSZE81W1M+bE11c0PWZ28zIcqnPdY01asP2ez/36dNHNVqUoG5kSEaOZpzHQbhwMx/77Dl7aPblFGz+k3+RLq1zfA/VbjaPCkVJUdq7spTyWDstxm6vY3G7Xj69qSpZLsGlvXnboZaaUJGteI6BFLNRPlinHzwGgBgKjCAk5pt5m2gr4eAFjUBANl5BXhFi5VWO0qO1FzRDLUhrXV7C43sPBqUrYkycvNx94Vkna6mzhacrGtUHjszI1gYS7tU8gqolVLbbT73lC0fmKCeW8j89LknW5646xaHkegmSo7U3JF7iQAkC9fpojo1JHtubbkYy3EkpDJWn4xhy5tHqMeA15LIdqvsvBbPYSSkOqwOk/5c1pXZ6FqdmAgM2MVKb8d/QJZIN5dy4QolRxqifR0brkPghGXhN3oTvvq1OJDy7Y6QJBpGhnqcLa6niLoyG98uk9mZnWifiLj3bPnXoS04jKR8vw6Txrcu/DGHkegeSo7UmOxMtQrtWq5FejdxBAAcp4UgNdrWQM0a13Mn4QPXIZCKYBhAlKnQ7avfz8IYOTBGDnrVNyunPrdbyzhbCdl9ln8794zTWHQNfR1XY+EPX7NldRyrUR0cZdZ2ep8pgrUJn8NoSGX51Nasls+vQiJw6wc/rsMgimAYYKs/kKDYrK4o2T8hS1QTkjL9Nrwlvt4umdRw9dk7tNWw3yVNpZufuBoiLVvSx9zU2QJGhuoz/bk6da5bgy3n00BZjfRNlzrgFX391RDvM0X4kCWCpZCScbWXl6VwYlRpLm0BQ6Fqzl1O65SfhymMIelFGL/1PCJ/7K7YeQ2FgIb93qkTSo7U2MazTwAAdua6uTI2ALkP1f8iX+JrmdVjiWaY8knd8iupoRUnHmFRP6/yKxL1MeMJwC85iSkQM/AMPgEAcLUW4sS0ToqfV5WJxkqPMh/mAYiW/QhYrOB5XdoCo45TglRJNOZIjTlaSH4jGjqo52yK6paRS9P5NYHsVPh69mYw5mtWq6eZkeQ7485r8WAY2lZEo/CFAN+kxNuxmDRkwwjZMMKqYe1KrVfiTdkJhqFQkryoUsJVSasaqRRqOVJTonwxu6daWx2dqVbkS59a+OvKc/wdkYAgv3pch0PKcfDOK/QvLK8e1IzLUCpl1aBmGPFXFADg6rP38NHx3z9tMWnXbbbsWdOCw0ggSbZGHa9Q8tJlxVm8Tpd0r90P9oeeXikJmyir3NYoUj5qOVJTd198YMvqPAW6OhT9CcjMpXU+NMH3/0Wx5To1TDiMpHI6yCRDk3fT4nvaIDFVusL0JF81SRx4vAq1Xq0c5sO2fJ2LyyqjrorGRukYSo7UlOxeYu62mvcBo0yDC1cHT6fkSO1pwzYHPB4PX3i7AJBs25OalcdxRKSqFh56wJbHd9HMcYsta1mx5al7bpdRkygDJUdqauulOACAmw19CzDUl/6Y0voz6m3+wftch6AUM/zrs+U1p2LKqEnUnVjM4FiUZJ20WjZCmGrosig8Hg9f+tQCAKTl5FPSrmKUHKkpI0PJf42pkWb+IitTbZmWsxcpmt8yoa3EYgZhD16XX1ED1DATgF+YlIdcjuM2GFIlpx8ms+U1XzTjLhAlmNpVOvOTknbVouRITR2+K9lTbUALZ44j4Z6eHg9t3K0BAJeevuU4GlKacJkPIW2wYWhzthz1MpXDSEhVfLf/Hltu4WpVRk31Z2MqYL84U9KuWlqVHAUHB4PH48ndHBwc2McZhkFwcDCcnJxgbGyMLl264P599esGSM+RNpfamOrmhrMfS8kSAQCiE9M4joSU5geZgdjawK+RPVtecEj9/k6Q8uXkFeBtRi4AYHArF46jUQ7ZGaCUtKuOViVHANC4cWMkJiayt3v3pN8ali9fjtWrV2PDhg2IiIiAg4MD/Pz8kJ6ezmHExRWIpWur+Dd2KKOm7hjZzg2A/EB1oj5E+WIkpUmmGfdtVpPjaJSDx+PBu3AQbERcitzvJdEM2688Z8tTumrmYqQfk/1MoE2SVUfrkiMDAwM4ODiwtxo1JNtPMAyDtWvXYt68eQgICICnpydCQ0ORlZWFXbt2cRy1vJMy4zb0S1vLQsdYGBsCAO6/SpNrWSPqYd+tF2x50idqMlVaCeb2bsiWT2tZt6EuWHQ0mi07WWrHkij6ejw0dbEEAFx4/JYWKlURrUuOHj9+DCcnJ7i7u2Pw4MF49kyyk3FsbCySkpLQvbt0XxqBQIDOnTvj8uXLZZ4zNzcXaWlpcjdVep2aw5YpOZJo7WbNll+n5ZRRk3Bh7gFpC21NLfkQAuTHqARryUw8XZEk83d0pszsQ23wg0zSfvnpOw4j0V5alRy1adMGf/31F06cOIE//vgDSUlJaNeuHd69e4ekJMlUTnt7e7nn2Nvbs4+VZsmSJbCwsGBvLi6q7bs+F/MGADCkcH0fItlfzkooaT2iGWvqJTktB0VfXqdoUatRkYDmkm7Clx+yqdVSg6w//Zgtf9XejbtAVEB2zSPZLyZEebQqOerZsyf69+8PLy8vdOvWDUeOHAEAhIaGsnU+3h2cYZhydwyfM2cOUlNT2VtCQoLyg5fxoHDQMe1CLy+lcF2Pk1oyXVxb/CLzITS2U20OI1GN2T0bsOWd1+I5jIQoimEY9v/K1pQPIV+7lkTh8Xjo09QJAPD8XRayRLRArrJpVXL0MRMTE3h5eeHx48fsrLWPW4mSk5OLtSZ9TCAQwNzcXO6mSkaGko06+7XQjoGtytKtoeT/yYC6GtXKjquSDyELY0OYGRlyHI3y2ZtLt0RfeowGwGqCx8kZbHlxPy8OI1Gd2T2kXYW7KGlXOq1OjnJzcxEdHQ1HR0e4u7vDwcEBYWFh7OMikQjnzp1Du3btOIxSXsL7LLzPlExbtzTmcxyNemnoaAYA+EtmBgrh1tM30g+hZf2bcBiJas3rJR3jQSsTqz/Z7UI+aWDHYSSq42wl3T1BduA5UY4KJUf//fcfCgoKVBVLlc2YMQPnzp1DbGwsrl27hgEDBiAtLQ0jR44Ej8fDtGnTsHjxYhw4cABRUVEIDAyEUCjE0KFDuQ6d9UBmHR9d31PtY3VqmAIAqOFIfaw9Je1S696o7BZYTTakjXT83+bzTzmMhJSHYRhcfCJZLLaNuzUM9LW3DWBWYesRwwAZtPekUlXop2bAgAGoWbMmZs+ejYcP1a95+cWLFxgyZAjq16+PgIAA8Pl8XL16FbVqSfajmTVrFqZNm4YJEybA29sbL1++xMmTJ2FmZsZx5FIvCwcbN3e1hDFfn+No1Es7D8lu6WIGyM1X3yRdlxy68woA0MDBDHpanLWaCgzYPbk2naXkSJ3dfJ7Clqd1q8dhJKo3rHUttrznOnWtKVOFkqP4+HhMnjwZBw4cQOPGjdGhQwds27YNmZmZqoqvQvbs2YNXr15BJBLh5cuX2LdvHxo1asQ+zuPxEBwcjMTEROTk5ODcuXPw9PTkMOLi/hf5EgCQlUsf/h8T6EuTxZP3aVA21+6/kq7OO727dk2VLsksmTEeL1KyOIyElGXFiUdsuW1t6zJqaj4LoXSM389HqGtNmSqUHDk5OWHevHmIiYnB6dOnUadOHUyZMgWOjo4YM2YMrly5oqo4dYZ54WKH7T1sOY5E/cj+IUijKdWcW3JU2nqsreM6ZA3yli7hsT78CYeRkNLkFYhxLfY9AMCntk25M5G1gewaTsm0BpzSVLoztnPnzggNDUViYiJWr16N6OhodOjQAY0bN1ZmfDqlQMzgwmNJX3kTZwuOo1FP/o0l41p2UxMyp8Ri6biOpi6WOrFYqZGhPmwL9zrce0O1y3mQypHdmHrB57rxWTTCR9q19usZStqVpcoj1UxNTeHr6wtfX19YWloiJiZGGXHpJNmm+to1aDB2SYr2VsvLpyXzuXQ1Vroq7/w+jcqoqV0W9ZN2w8e+VY/hBERq5Qnp5089e/UZS6pK5kaGsDaRzGwOpZm8SlPp5CgrKwuhoaHo3Lkz6tWrh7179yIoKAhxcXFKDE+35BVIP/CbOFtyF4gaG9XBHQDwRGYKOal+st9QZbfY0HZFa20BwGYamK12ipaWGNjSmeNIqlfwZ9JWMtpeSTkqvGzopUuXsHXrVvzzzz/Iz89HQEAATp06BV9fX1XEp1P+KWyqFxho79TTqirqvikQM0h4nwUXa2E5zyCqcOmJpOWoS/0aHEeiAqLSB1vrA2hsq49nbzNx8MZjLPusjmLnNBQCOjD+RV2M7ujOdQjVqqenA1veE5GAqRzGoi0qlBzVq1cPT58+RfPmzbFs2TIMHToUFhY0NkZZ8sWSliOawl862VaK12k5lBxxQHaq9ERf7dtLDSvLfk1HAKBo0ezFCp7TpS0w6jglSNWkgYNqdzFQN4b6erAwNkRqdh42n3uKqUblP4eUrUJNFD169MCtW7dw48YNfPPNN5QYKdmWi7EAaMPZshgZ6rOLY0a9TC2nNlGFhYelqw9719KSLjVDoSSBUZWEq0AeTf+vDkWTNnSN7Kw1UnUVajn65Zdf2HJ+fj7Onj2Lp0+fYujQoTAzM8OrV69gbm4OU1NTpQeqS4pmxJCSJaVK+tSvPnuPwPa61XzONbGYwZ2EDwCADh622jNVmseTtOwomMD0XHcBce8kA7KjF/YovaIoq9yWKKJcupok9GteE9//F8V1GFqjUlsVP3/+HD169EB8fDxyc3Ph5+cHMzMzLF++HDk5Odi8ebOy49QJqwY2hZCvD18dWDOmKkb41MLv559BX19LPpg1iOwsNdlFEbUCjwfwFZslOvuzFgjcFgEAePJBDA873ZgZpQl09f/CRGCAWjZCJL+jAdnKUKmRv1OnToW3tzdSUlJgbGzMHu/Xrx/Cw8OVFpyu6d/SGT29HGFkSGOOymJnJmlZO3I3EWIxTemvTtsuxbFlr5q6263eqa50IPqOq7Tmlrro17wm1yFwapI2jgHkSKWSo4sXL+L7778Hny+/a3ytWrXw8uVLpQRGSGlayoxzyRDRZovVRSxmEPZAsm1L29rW2tOlVgl6ejy4Fk4GCLkcx20wOu7qM2lr5sh2btwFogb6NHXiOgStUankSCwWo6Cg+N5fL168UKtNXIl2auwkbbHIFtEedNUlSmYvtZn+DTiMRD0E+Uk3NaW91riz+Kh0T7F6dro93tXIUB9Cmu2sFJVKjvz8/LB27Vr2Po/HQ0ZGBubPn49evXopKzZCSiS7U0XRrvBE9WQ39GzmYsldIGrCv7F0bZkNp2nbBi6IxQweJ0sXhNXl1swisgPSU7NpD8rKqlRytGbNGpw7dw6NGjVCTk4Ohg4dCjc3N7x8+RLLli1TdoyEyDHQ14O5kWQuQW7hdiJE9Yr2/fOtX0Mn9lIrjzFfH/ULt6jYE0F7rXFBtkuNSPRpIu1a+/vGCw4j0WyVSo6cnJwQGRmJmTNnYty4cWjevDmWLl2K27dvw86OZloR1evp6QgA+OtKHLeB6IgHr9LYctEWLgQY26k2W375IZvDSHTTHxeecR2C2jERSCeh/36etriprEolRzt27ICxsTG++uorbNiwARs3bsSYMWNgbGyMmTNnKjtGQoopaj1naLJatVgXLt3Qs10dWw4jUS+fNnFky1suxHIYie4pEDM48+gN12GotYzcfLzPFHEdhkaqVHI0adIkHD58uNjxb7/9Fjt27KhyUISUZ1ibWgCA5PRcjiPRcAwDiDLLvDG5GTh//zmMkQPPGgbQz88q5zm6MzhZdgDs1kuUHFWnuy8+cB2CRth17TnXIWikSi0CuWfPHgwePBgHDx5Ep06dAACTJ0/G/v37cebMGaUGSEhJ9GTS+kdJ6ajvQLMkK4xhgK3+QMK1MqvxAEQX7dWUDsX3E9MR3/duhLkH7gGQDIC1MDbkOCLdsPEsdRkp4rdzzzDpk7pch6FxKtVy1KNHD2zevBl9+/bFjRs3MGHCBDYxatCApvgS1SsaCAsACe91p6VCqfKyyk2MqsSlrWTPMi0nu/Dgf7dpnbfqUrTmVnsP6uYtS3puPnLyaMmTiqpUyxEADB48GCkpKejQoQNq1KiBc+fOwcODVuck1cNAXw/NXCwRmfAB0Ylp6NZINzebVJoZTwB+yYlMwx+PAwBcrIQ4+W0nxc9pKNSJXeiN+frg6+tBVCDGz0ce6PxChNUh5nU6Wx7WxhWgSVllOnjnFQZ5u3AdhkZRODkKCgoq8bidnR2aN2+OjRs3ssdWr15d9cgIKUdKlmSg4fnHbzC5KzUbVwlfWOK+Yq/TcpANSZ/amE88Fd57TNeM61wb608/QV4Bg7ScPJgbUdeaKq0Lf8yWO1DLUbmWHI2m5KiCFE6Obt++XeLxOnXqIC0tjX2cFuEi1aVvs5pYF/4YQn6lG0BJObZclA4y7iUzM4vIG+FTC+sLF4L898YLWu5AxY7cTQQAuNuawFC/UqNDdMKQVq7YGpGMlKw85BWI6b2qAIU/VWigNVE3RXtbnYt5g/wCMQzoF1/pitaRqmUjhKmAktDS2JkZgW+gB1G+GNuvPqfkSIVeyawnNa9XQw4jUX+jOrhja0QyAODcozc0/KACKvRp4uTkhAkTJuD48eMQiWjtBMKtRk7mbDkxNYfDSLTTu4xc5ORJViAPpHE05fqqvRsAIPZtJu35p0J/XZFOTe9cvwaHkag/Zytjtrz+DG1xUxEVSo527doFY2NjTJ48Gba2thg4cCC2b9+O9+/fqyo+QkrV0FGaHNE2IsonuyVG/5bOHEaiGUa3l7YWnXyQxGEk2m3zOckUfnMjA+omUoB/Y0lr0Z2ED8gvoL+TiqrQT1aXLl2watUqPH78GFeuXEGLFi3w66+/wtHREV26dMGaNWvw9CmtPUGqT9EeX/tu0XQVZftV5psmDTAun525EVuWHTBMlCctR7qR6vTu9cuoSYp861ePLV99Rg0Ziqp02t24cWPMmTMHV69exfPnzzF06FCcPn0aXl5e8PT0xJEjR5QZJyElsixccK9ATPuIKFOBmEFWYdfQ7B60dpmihrd1BQA8e5MJhva2Ubp/ZTZS7deiZhk1SZEGDtIW9pDLcdwFomGU0ibp4OCAr7/+GocOHcKbN2/w008/QSAQKOPUhJRpQGF3z76b1HKkTCfvS7uF+rekDyFFDW1diy1fi6Vv6cpW1KVmwten1swK6NpAsiH8qejXHEeiOSqVHN26dQv37t1j7//vf/9D3759MXfuXBgaGqJfv37o1q2b0oIkpDRF3Wrvs2iCgDItPPyALduZGZVRk8hq6ChduX358YccRqJ90nPy2L0UaaHNipGdPfkoKb2MmqRIpZKjcePGISZGskv3s2fPMHjwYAiFQvzzzz+YNWuWUgMkpCw0UFj58grE7Oy//i3o/a0IHo+HNu7WAIBb8R+oa02J/hf5ii3T7MmKaV34MwkA68JjOIxEc1QqOYqJiUGzZs0AAP/88w86deqEXbt2ISQkBPv27VNmfETXicreAV4gzoExcmDE5OBRQlK5O8yzN/rQKtWFx2/Y8jdd6nAYiWaa4S8dKHz/FX1LV5atl6QLksoOfiflM9TXQwtXSwDA0Xs0k1IRlVrVjWEYiMWSKYGnTp3Cp59+CgBwcXHB27dvlRedCm3cuBErVqxAYmIiGjdujLVr16Jjx45ch0U+trLs/fqcIbNj/JYKnNelLTDquE7s/VVRoZel68h42JlyGIlm8q5lxZb/vhkPTw5j0Rb5BWI8e5MJAPi6U22Oo9FMX3eqg/E7bgKQbNbtYq39m0JXRaVajry9vfHzzz9j+/btOHfuHHr37g0AiI2Nhb29+q/AuXfvXkybNg3z5s3D7du30bFjR/Ts2RPx8fFch0YAyYalLm1Ve42Eq5Jd6YmczNx8nIuRtBx9UjiIk1QMj8dDfXvJ2KN/btBEAWW48ET6pXtYG1cOI9Fcsr/PstsCkZJVquVozZo1GD58OP777z/MmzcPHh6Sb/f//vsv2rVrp9QAVWH16tUYPXo0xowZAwBYu3YtTpw4gU2bNmHJkiUcR0fA40ladRRMXkZsuY4bz9/D2coYYd92LruyKKvc1ihdtvOatNVoevd6ZdQkZZnStS4m7rrFdRhaY8XxR2zZlVo8KoVvoAczIwOk5+Qj5HIcgj9rzHVIaq1SyVHTpk3lZqsVWbFiBQwM1Hv/JZFIhJs3b+K7776TO969e3dcvny5xOfk5uYiNzeXvZ+WlqbSGAkkCZKCO8B713XGhedZEJpa0K7xVZRbuF2IqcAAjZ0sOI5Gc3VtSK1uysIwDB4kSv7m9m7iSJubV8G8Xg3x3X7JZ3daTh4th1CGSnWr1a5dG+/evSt2PCcnB/Xqqfe3zbdv36KgoKBY95+9vT2SkkoeqLZkyRJYWFiwNxcXl+oIlSjIs6ZkkTNaHr/qirYM6dPUieNINJuRoT5q16BEXRnuvEhly193pPFGVfF5M+maZYfvJHIYifqrVHIUFxeHgoLiGyvm5ubixQvN6GP/+NsHwzClfiOZM2cOUlNT2VtCQkKJ9Qg3nCylmys+ek2zg6oiO6/o95pm81XViLa1yq9EyrX2lHTqeRNnas2sCmO+PjsHJfjQfW6DUXMV6gM7ePAgWz5x4gQsLKQ/qAUFBQgPD4e7u3tJT1Ubtra20NfXL9ZKlJycXOpgcoFAQCt+qzHZDWjF1HBUJemFe1cNa0Mf7FUV0MIZyw/RuKOqYBgGZx9JJgg0djKnLjUl+LpTbfx27hlE+WJkifIh5Kv3UBiuVOhd6du3LwBJq8vIkSPlHjM0NISbmxtWrVqltOBUgc/no2XLlggLC0O/fv3Y42FhYfj88885jIxUhYO5EZLScrAnIh5ezl5ch6ORniRnIK9A0mKkRx9CVWZhbAiBAe0aXxVP32Sw5Tk9G3IYifYIbOeG3849AwAcvpuIQd40TKQkFUqOitY2cnd3R0REBGxtbVUSlKoFBQVhxIgR8Pb2ho+PD37//XfEx8dj/PjxXIdGKimvcKxRHo05qjTZDyJa30g5pnWrB5yVlLNFBTDmcxqOxpFdCqFDXc38vFE3jhbSYQg7rj6n5KgUlfpaExsbq7GJEQB88cUXWLt2LRYuXIhmzZrh/PnzOHr0KGrVoq4ETTW6o6Q798JjzViEVB09fydZZK9lLSvwqcVDKT6XGdh+LIoGwFbUb+clLRy1bGj6vjINaS1ZK+rui1Tk5hcfP0wqOZUfAMLDwxEeHo7k5GS2RanI1q1bqxyYqk2YMAETJkzgOgyiJIZ6kg/zxNQc5BeIYaBPH+4VdaRwW4G07DyOI9EeVibSpqLVYY8R0LZ+GbWJrOT0HLY8gbaxUaoJXepg93XJoscXH79F14bqv3hzdavUJ8iCBQvQvXt3hIeH4+3bt0hJSZG7EVLdejVxZMsFtG9apZgbSb4r0R9K1XiXmUtLTTCMwvsf7r7wEMaQ7J3Yq755GXVppfuKkt06ZMOZJxxGor4q1XK0efNmhISEYMSIEcqOh5BKKfpgB4CnyZlo5GReRm3yMbGYYbskGziYcRyN9rr09B0616vBdRjcYBhgqz+QcE2h6lMBTC3aN3G1yqLSWQNaOuPfmy9wO/4D16GopUq1HIlEIo3YJoToDmNDfbZ8+SmNO6qoFx+y2bK7LS1eqCqrTz4qv5K2ystSODGqFJe2kn0ZiZQoq9QWt2HNbdiWuTtPXyrcogcdaZmvVMvRmDFjsGvXLvzwww/KjoeQSjHQ10O3hvY4Ff0aOXk0wLCixDJ/75q6WHIWh7a78yIVBWIG+no6vlTCjCcAv/REZsvFWKwsTCSvfPcJLIUKTPMzFAK0BIW8MvaRbA4guqhlbnsFzunSVrL3pZa/15VKjnJycvD777/j1KlTaNKkCQwN5fdnWb2a2kBJ9TMylDSErgt/jEmf1OU4Gs2y/5ZkyrRsCxxRjeux7+FTx4brMLjFF5a5D+IvF14hG5JPbktLq+qKSjsYCiUJTMJV1Zw/4aqkFVDL97GsVHJ09+5dNGvWDAAQFRUl9xitYEq4Ut/eDIeRiJoy24kQxYjyJQOF6ddX9f66EkfJURnEYgaphTMmZ3RX77061RKPJ2nZySt/oPrVZ+/wVUgEAODw5A6oU6OM9c1EWWW2RGmbSiVHZ86cUXYchFRZOw8brAoD4t5lUddFBZ2Kfg0AGNnOjdtAtJhPbRucfpaJY1Elb3BNJE4+eM2W+7d05jASDcbjKdSy07qeENm4BwDYej0Zi/rRTNUitBgM0RoWxtLu3VvxtKRERbwsHJBN+aTqBLZ3Y8uPaYPkUi2Q2RBVdjVnonx6ejy4WEve453X4jmORr1UquXI19e3zO6z06dPVzogQirLw046BZ0GZVcM30AP2flA32Y1uQ5Fa/nUlnalrQ6LwabhLTmMRj3lFYiRmCpZ/DGgOf0sVocZ3etj6p5IAMCb9FzUMKNN1oFKthw1a9YMTZs2ZW+NGjWCSCTCrVu34OVFm34S7jR0lKxvtP/WS44j0SxFY45MBLRDt6oY6uuhuaslAFDXWinOPnrDlif46s74Fi75N3Zgy1svxXIYiXqp1F/CNWvWlHg8ODgYGRkZJT5GSHUo2voiIzef40g0k60pfWtUpXGd6mD8jpsAJHvZ1bLR7hk/FbVN5sOZNj+uHkaG+nCxNkbC+2z8eeEZZvdowHVIakGpY46GDx+uEfuqEe01sfDb5sOkNI4j0Tyd69WgDWdV7JMGdmx587mnHEaifvILxLj89B0AwK8RDQyuTqPaSzbuzitg8Dotp5zaukGpfwmvXLkCIyOj8isSoiIG+pKxcAnvs5FJrUcVUiDWjZVvucQ30INN4Wa0u68ncByNerke954tz+hOG/RWpwEyswK3XYrjLhA1UqlutYCAALn7DMMgMTERN27coFWzCaf8ZDZNzczNpzE0FVA0Hoao1vefNsS3e+8AkOw8b2dGXygBYG3YY7Zcz5661KqTmZEhhHx9ZIkKsPncU3zXk7rWKtVyZGFhIXeztrZGly5dcPToUcyfP1/ZMRKiMCsTPru+UezbTI6j0SwtatFKxNWhl5cjW95F06cBSL5gF7Uc9fJyoMWEOfDDp43YcnpOHoeRqIdKfa3etm2bsuMgRGmKuofOP36DNrVpJWJFOZhTC0Z1EBjow9qEj/eZIqw99RjTutEq0HdepLLlL33cuAtEh33ezAlz9ksWhNx38wUCC8ch6aoqjTm6efMmduzYgZ07d+L27dvKiomQKuleOJhTRzaPVpqiZRCI6k3oUoctJ9MAWCw//pAtt3az5jAS3SXkS9tKgg894DAS9VCp5Cg5ORmffPIJWrVqhSlTpmDSpElo2bIlunbtijdv3pR/AkJUyNFC0gKy8SzNBlKUE61EXK0Geruw5T8uPOMwEu4xDMPOUmvqbAE9WqadM5M/ka4tpetda5VKjiZPnoy0tDTcv38f79+/R0pKCqKiopCWloYpU6YoO0ZCKsTdVrJ2jKXQsJyapEhu4SKQpHpYGBvCunDW2h8XdHvhvciED2x5bq+G3AVC5Lo090bo9mzKSiVHx48fx6ZNm9CwofQHuVGjRvj1119x7NgxpQVHSGV0qFsDAPAhKw95BfShr4ivZPb9ItVjpr90unpKpojDSLi1VWbqeGt36lLjUg0zAQwLl0PR9XW4KpUcicViGBoW/1ZuaGgIsZg+jAi3TAT6bPni47ccRqLeRDKtRbT4Y/WT3cdu13XdnbV26M4rAEBTF0uapaYGxnWSjId7myFCmg53rVXqL+Inn3yCqVOn4tWrV+yxly9f4ttvv0XXrl2VFhwhlSG7kzdtI1I62UUf/RvTisTVzZivj6JcYMWJR9wGwxHZley/7VaXw0hIkVEdpLPU/tbhrrVKJUcbNmxAeno63NzcUKdOHXh4eMDd3R3p6elYv369smMkpMKKdkD/5+YLjiNRXw+T0tmyKS2WyQnZfaze62DX2s+Ho9lyBw9bDiMhRYrGwgHAkmMPy6ip3SqVHLm4uODWrVs4cuQIpk2bhilTpuDo0aO4efMmnJ2dyz8BISqWKZK0GOWICjiORH3dik9hy0YG+mXUJKoypJUrW/5Tx2atMQyDi08k3d6t3axhoE9du+oiyE+y9laBmEG2jv4NrdBP4+nTp9GoUSOkpUmaQv38/DB58mRMmTIFrVq1QuPGjXHhwgWVBEpIRRT1m0fTBrSlkm2poOnT3LAQGrKzKnVt6QnZWWpB3WkhTHUyom0ttvz3Dd3sWqtQcrR27VqMHTsW5ubFF4uzsLDAuHHjsHr1aqUFR0hlFW1Am56Tj7cZuRxHo55Cr8RxHQIBMOUT6VgbXVoQUjYZbEOz1NSKlUzXmq6Oh6tQcnTnzh306NGj1Me7d++OmzdvVjkoQqqqvcz4BV0cy6GIosUyCbe+aKV7C0KKxQzCHrwGQLPU1NUkX8mCkBm5+Tr5N7RCydHr169LnMJfxMDAgFbIJmrBVGAAm8JvPw9eUdfax3LyCvAiJZvrMAgAE4EBjAwlf4p1ZUHI2zJdaj/KbHhK1MeYjtJZa1su6kbSLqtCyVHNmjVx7969Uh+/e/cuHB0dS32ckOr0rvDbzrXYdxxHon5uxKWUX4lUm4Wfe7Ll1zrQtfbTEeksteYultwFQkplKeRDv3As4q9ndGs8HFDB5KhXr1748ccfkZNT/Jc3Ozsb8+fPx6effqq04AipimFtJDOB8gtoB9qP5dFirdVPlAWIMku8fdbQAsbIgTFysO5YZKn1it00dHflR4UTJXo0dqDJAGpscT9p0v5Gx8ZuVmhxk++//x779+9HvXr1MGnSJNSvXx88Hg/R0dH49ddfUVBQgHnz5qkqVkIqpKhb7Z+bL7BiYFOOo1EvW3Sk+0atrPQo9SEjANFFQ8CiC2+KcGkLjDoOaOiYnSldaeFHdfZ5s5qYvU/SWxRyKQ4zOY6nOlWo5cje3h6XL1+Gp6cn5syZg379+qFv376YO3cuPD09cenSJdjbc7fSrpubG3g8ntztu+++k6sTHx+PPn36wMTEBLa2tpgyZQpEIt0bbKYLmtey4joEtVU0xoWomKFQksCoSsJVIC9LdedXsUZOxWc+E/VhZKgPC2PJOOOtl3TrC1WFl8WtVasWjh49ipSUFDx58gQMw6Bu3bqwslKPD6KFCxdi7Nix7H1TU1O2XFBQgN69e6NGjRq4ePEi3r17h5EjR4JhGFrZWwt51bRgy2k5eTA3Kn0yga45FZ0M4/Krkari8SQtOwokMPkFYngtOAkA6FKvBjYNb1l6ZVFWmS1RmuCzpk5ch0AUMLdXA7b1SJdUes8AKysrtGrVSpmxKIWZmRkcHBxKfOzkyZN48OABEhIS4OQk+cVctWoVAgMDsWjRohLXbyKay9hQuurziagkDPR2KaO27tDFabmc4vEAvkm51QwAuDnaIToxDcdi0lFgIGQHxGqjOb0alF+JcK5fc2edTI60rm192bJlsLGxQbNmzbBo0SK5LrMrV67A09OTTYwAwN/fH7m5uWWuz5Sbm4u0tDS5G1F/JgIDdvXhnHwagFwkN183twPQBMv6e7Hloq01tJXsBtFEffEN9FDP3rT8ilpGq5KjqVOnYs+ePThz5gwmTZqEtWvXYsKECezjSUlJxcZEWVlZgc/nIykpqdTzLlmyBBYWFuzNxYVaIDRFW3fJBrQbzzzhOBL1ceahZC0yQ33tbZXQVLJdwXP3a9e3ddkWy0m+NBBbkyzt34TrEKqd2idHwcHBxQZZf3y7ceMGAODbb79F586d0aRJE4wZMwabN2/Gli1b8O6ddJ2bklZiZRimzBVa58yZg9TUVPaWkKCbe81oIqFA0rVG442kXqRIxr/k0RIHaofH4yGgRU0AwMsP2cjJ055WvvWnH7Pl4W1dy6hJ1E0LV/UYU1ydKj3mqLpMmjQJgwcPLrOOm5tbicfbtpXMEnny5AlsbGzg4OCAa9euydVJSUlBXl5embPsBAIBBAJBxQInamFAC2fsv/USj16nS5JgrgNSAzeeSxaA/LKtGxDJaSikBN92q4f9t14CAHZcfY4xHWtzHJFy7IlIwPzC5QqKZkARzfFpE0cgRlLOzS+AgF92fU2n9smRra0tbG1ty69Ygtu3bwMAu2q3j48PFi1ahMTERPbYyZMnIRAI0LJlGTNDiMYy5ksHZUcnpqORrX4ZtXXD9dj3AACxhi4gqO1crIVs+ecj0VqRHN198YHrEEgVTfKtyyZH+26+wNCO2r3ti9p3qynqypUrWLNmDSIjIxEbG4u///4b48aNw2effQZXV0kTbvfu3dGoUSOMGDECt2/fRnh4OGbMmIGxY8fSTDUt1dTZki1n5OZzF4gaMTOSfCfyb1zyrE7Cvel+9djyqw+avwfeT4cfcB0CqaJaNtKkXXb7F22lNcmRQCDA3r170aVLFzRq1Ag//vgjxo4di927d7N19PX1ceTIERgZGaF9+/YYNGgQ+vbti5UrV3IYOVElPT0eateQTKM+fPcVx9FwL+F9FtJzJEmirRl1Faur0TKbfq46GcNhJFUnFjOIoL38tE5iquYn7WVR+241RbVo0QJXr14tt56rqysOHz5cDRERdfE2XbInEK3vA9yKl35IOZhTcqSuhHwD1DAT4E16LvbdeoFVgzR3+5ujUYlch0BUYOmxh1g3uDnXYaiM1rQcEVKaad0kXRQRce85joR7L1Ik3/Zau1vDyJDGX6mzFQOk06evPntXRk31NmnXba5DICrwv8hXYLR43CIlR0TrCQr3EXudlqtVU6MrY/+tFwCAvAJaFFPdda5Xgy1/s6P0RWrVmWzXy+gO7mXUJJroylPNTdrLQ8kR0Xo9ZAYe5+bpdlJgJZTMv+3gUbkZoKT6yK55lJKVhxQN7BZeeEg6EPubznU4jISowpi/bnAdgspQckS0nuyaKvdepXIYCbdy8wvYNY4aO1mUU5uog3m9GrLllScfcRhJxRWIGRyLkuw84GYjhIlAa4a46rzBrSS7RGSJCvCmcEyntqHkiGg92c07773Q3eTo2ZtMtlxXB/dK0kQ2pgKYFy69sPNavEaN8ZCdHbpxGK0jp02mdZUuNbHoiHYu00DJEdF6PB4PA1o6AwCevsngOBrupGbnAQCMDPVQpwYlR5pi03BpYnEu5g2HkVTM1D2RbLmRE60jp00shIaoaSnZOPi/yFcoEGtO0q4oSo6ITihaDVqXpxUXDcbWK2MfQaJ+2tWxYcuB2yI4jERxcW+lrZRBMgtaEu3x2whp0q6Na8hRckR0gl9Dyd55NUx1d20fA33Jr3t9BzOOIyEVwePxMEZmptdLDVgxe+KuW2z5606av/0JKc6zpnTcomwrobag5IjoBNfCpe+TtXTwoCJ2XYsHAPjWt+M4ElJR38q0vkySSTzUUZYoH/dfpQGg9bS03Uz/+mz5SXI6h5EoHyVHRCfIbuapi8QyYwJcdfy90EQmAgN4FX5Tvx3/Qa3X61p8VLrv1tovmnEXCFG5sTKbIg/54xqHkSgfJUdEJ5gbGaKRo+4OCs3Jl36Yyi4uSDTHxmEt2PKy4w85jKR0YjGDHVclLZQGejw4FQ7aJdqJb6AH3/qSvydv0nPxLkN7WuYpOSI6Q5dXhT52L4kt8w3o114TybZ+7olI4DCS0u249pwth3zVmsNISHVZOVC679/k3dqzVQz9lSQ6Q5dbTDJy8wEAPB5oMT4NFvJVK65DKBXDMPjxf/fZ+x3q0irsusDGVAA7M8lEl8tP36l1l29FUHJEdEbjmrrbrfbrmScAgF6ejhxHQqqiixoPpj94Rzqd+6e+nhxGQqrbX6OlrYTBB++XUVNzUHJEdEYTZ0uuQ+CMeeEWKiYCmjmk6Zb3b8J1CCWSnc49rLUrd4GQatfAQfrFc09EglYMYaDkiOiMOjVMYWSoez/yYjGDJ8mSlcEDWjhzHA2pqoHe6vd/ePnJW7Y8078+9PRooVFd8+94H7YsO2NRU+neJwXRaTl5mv+NpqLuvPjAlmU34SWaicfjYX6fRuz9o/dUsOo7wwCiTIVuTG4GRv95DsbIgTFy8I2PQyl1s5QfJ1Eb3m7WbHnbpTiNbz2ikZlEp7SrbQNo30r3ZcqWGSDZgFbH1gpfeLsAYZLy9H/uoGeLOuApa1sYhgG2+gMJiq1bwwMQbSRzYKlywiBqrJRE99DXzTHo9ysAgOB917Gor5fi5zQUSmaMqAlKjohOaehornPJUcilOABAnRomyvsAJZz6+P/xzwuxGKusbTryshROjCrFpa3kg5BorpUeJR72gkyi/KDwpiiXtsCo42qTIFFyRHRK45rmwE2uo6hehoV7qhnoUS+6tlp0NBqjOrhDX9ljfWY8AfilJzJbL8VixYlHAIDvejbESJ9a5Z9TzVoIiIIMhZIEJuGqas6fcFWSmPNNVHP+CqLkiOiUpi6WbPltRi5srdXjF1GVjhSOSRnWlmYQabNJu25h0/CW5VesCL6w1A+rnLwCLDzxHICkqeDLTg0p6dFmPJ6kZSev/LFjjeYfB1O4Y1HYt53hbFXGSumirFJborhEXyWJTrEwkg5Ivvj4bRk1tUNqVh5bdjA3KqMm0XTHopKQkimqtuuN2y5tgg35qhV12eoCHk+SLJdzOzu3N7JhhGwYocOaa+XUV88uVkqOiE6RXR36dbr27ANUGtnB2N0a2nMYCVGVg5M6sOXmP4VVyzVj32biXMwb9r46L05Jqp+dmRG8a1mx91Uyo1LFKDkiOmvv9XiuQ1C5/0W+ZMv0xV471bUzhVdNC/b+4buqn3Hgu/IsW74+t6vKr0c0z56v27LlCTtvIV/DpvZTckR0lpUpn+sQVK5oXScjQz3q9tBi/8gswDdp121kifJVdq1VJx+x5U+bOMKOumtJCQz09bB6kHRT2s4rznIXTCVQckR01oNXaeyGrNpqzakYAEB/WhlbqxkZ6mPTsBbs/UY/nlDJdeLfZWH96Sfs/fVDmqvkOkQ7yK7I//JDNk49eM1hNBVDyRHRaU8Lt9XQVraFrWM2JtrfSqbreno5ym2PsyYsRqnnF4sZdFpxhr1/ZEoHao0k5bozvztbHvPXDaTl5JVRW31QckR0WszrdK5DUJmcvAK8zZDMXurVxJHjaEh1uDvfny2vC3+M+69SlXbuBj8cZ8tD27iisZNFGbUJkbAwNpRr1WwSfBJM0Tx/NUbJEdFpF7R4Ov/lp9LXZmlMLUdaS5TF7l/GF2fjxMSW7D5nA345hfcpKQrvk1baHmhTdt+GSGZA7eJ+FdgWgui8nl6OaOFqyd6vPfeo2idItAgk0WmJqdlch6Ay7zKka944WNCgWa310QJ69fHRXmfrqnb61Scf4eAd6Qy4Rz/3qNoJiU7a9007uM85CkCyfV/PdRdwfFonjqMqHbUcEZ0WEZeicVNMFbWtcE+1ps7U/aF1irZyUCWXtgg+FotfZAZgX53TFQIDfdVel2glHo+HmJ97svcfJqWj7eJwtW1B0piWo0WLFuHIkSOIjIwEn8/Hhw8fitWJj4/HxIkTcfr0aRgbG2Po0KFYuXIl+Hxpl8K9e/cwadIkXL9+HdbW1hg3bhx++OEHGliow/LFDLTx772lULIaeB07U44jIUqn4FYOn66/iKdvpJMO/vqqNVq5W5d7eoZh0HTJRaQ9fs4eC5/emVogSZXwDfQQtcAfnvMlsymT0nLQaP4J+ZZONaExLUcikQgDBw7EN998U+LjBQUF6N27NzIzM3Hx4kXs2bMH+/btw/Tp09k6aWlp8PPzg5OTEyIiIrB+/XqsXLkSq1evrq6XQdTQrfgUrkNQutz8Alx++g4A0LleDY6jISqhwFYOh6f7o6WHM7uVw8Btd+E+/yxEesalPudcXBbc559DWo50dfULs3xRpwYl2aTqTAUGeLDQv/yKHNOYlqMFCxYAAEJCQkp8/OTJk3jw4AESEhLg5OQEAFi1ahUCAwOxaNEimJubY+fOncjJyUFISAgEAgE8PT0RExOD1atXIygoiFqPdFTUy1S0q2PLdRhK9TJFOpbKsyZ1q+myHWPaYPuVOPzwv/sAJOM96n1/DIBknaJ69mbIyM3HlovPcPReUrHnP1joDyFfYz4qiAYQ8g0Qu6QXOwapSMsf/wefBi740scNtWyEqGFlBT19btpwtOYn/sqVK/D09GQTIwDw9/dHbm4ubt68CV9fX1y5cgWdO3eGQCCQqzNnzhzExcXB3d29xHPn5uYiN1e6D1daWprqXgipNn2aOOLvuyk4ci8JX3eqw3U4SvW4cP0mY0N9+sZPMMLHDZ83r4kmwSfljk/efbvU54zrXBtzejZUdWhER/F4PMQt7Y0Tt58C/5Mcu2n0DRAHyQ1AWtBzmJtbchKfxnSrlScpKQn29vIba1pZWYHP5yMpKanUOkX3i+qUZMmSJbCwsGBvLi4uSo6ecCGvQDIQMEkLZ6xdeiKZxi+78SzRbeZGhohb2hvX5nZFbVsTmPAlA+0EBnqwKhyfBgDTutVF7JJelBiRauHfrHapkwvMBNy133DachQcHMx2l5UmIiIC3t7eCp2vpG4xhmHkjn9cp2ikfFldanPmzEFQUBB7Py0tjRIkLfBFKxccuP8Br9Nyi/2caLqol5LF/wJa1OQ4EqJu7M2NcHpGF67DIESilMkFYjEDPb4JR0FxnBxNmjQJgwcPLrOOm5ubQudycHDAtWvX5I6lpKQgLy+PbR1ycHAo1kKUnJwMAMValGQJBAK5rjiiHSxkFka88yIVzVwsuQtGyW7FfwAAONCmoIQQdVc0uUAG191anCZHtra2sLVVzkBYHx8fLFq0CImJiXB0lGyVcPLkSQgEArRs2ZKtM3fuXIhEInZ6/8mTJ+Hk5KRwEka0RwMH6ViclCxRGTU1Vw9PB65DIIQQjcN1cqaw+Ph4REZGIj4+HgUFBYiMjERkZCQyMiQDT7t3745GjRphxIgRuH37NsLDwzFjxgyMHTsW5ubmAIChQ4dCIBAgMDAQUVFROHDgABYvXkwz1XQUj8dDAwczAMCfF55xHI3yXH32ji3bU8sRIYRUmMbMVvvxxx8RGhrK3m/evDkA4MyZM+jSpQv09fVx5MgRTJgwAe3bt5dbBLKIhYUFwsLCMHHiRHh7e8PKygpBQUFy44mIbjEtHPBnbKgxvwrlinubyZbtzKg7mBBCKkpjPhFCQkJKXeOoiKurKw4fPlxmHS8vL5w/f16JkRFNNqClM248T8Gp6NcoEDPQ19P8FsSibUO6NbSnFlFCCKkEjelWI0QVGjtJF0h8k55bRk3NoQ0JHiGEcEljWo4IUQUvmU1ZnyRnqOfeUQxT7h5aRfILxIhNTIYxgJGtagCizNIrixQ7JyGE6BpKjggpdOnpW3Soq2bbiDAMsNUfSLhWfl1IfqHZTRz/VllUhBCi1ahbjei8T5tIln648PgNx5GUIC9L4cSo0lzaAoZC1V6DEEI0CLUcEZ1nYyJZ8+r+KzXfM2/GE4BfdhIzbe9tnLj/GiZ8fdz43k+x8xoKJYuwEUIIAUDJESH4vHlNhF55DoaBes9Y4wuLrSL7sTuv85ENI/T2ci63LiGEkJJRtxrRebILJRZt2KqJRPlixBaucdTYyZzjaAghRHNRckR0Xk1LY7b88kM2h5FUTW5+AVv2b0zbhhBCSGVRckQIgNZu1gCAP85r7jYix+5JN1W2NuGXUZMQQkhZKDkiBIC7rWR8jp66jjdSQHJ6Dls2MtTnMBJCCNFslBwRAsC3gR0AyUKQqVl5HEdTOStPxgAAAlrU5DgSQgjRbJQcEQKglZsVW05M08xxR0Vdae42NEuNEEKqgpIjQgDYmApgaypJLv67/YrjaCruRUoW3meKAACd6tXgOBpCCNFslBwRUigtO1/yb47mdas9fp3BluvZm3EYCSGEaD5KjggpNMG3DgBg17V4MAzDcTQVs/NaPADAq6YFjPk0GJsQQqqCkiNCCtW109wWlwKxGID8WkeEEEIqh5IjQgr51LFhy2q/z5qM/AIxzjySbJo7pmNtjqMhhBDNR8kRIYUsjA3Z8q34FA4jqZjX6bls2aumBYeREEKIdqDkiJBC+no89CjcduO3c5qzUvaFmDdsuaEj7alGCCFVRckRITKKBjMbGWrOr0bsu0yuQyCEEK2iOZ8AhFSDQd4uAICnbzLxIUvEcTSKKWrlGt3BneNICCFEO1ByRIiMevambPlhUjqHkSjOoHA/OEcLI44jIYQQ7UDJESEybEwF7Ca0f0ckcBxN+WJepyNfLFmTya+RPcfREEKIdqDkiJCPiPIlawZpwkrZUS9T2bKTpTGHkRBCiPag5IiQj3zdSbJW0KnoZOQXiDmOpmwbzjwBAHTwsIWhPv06E0KIMtBfU0I+IrsYZFpOPoeRlC8zVxKfubEBx5EQQoj2oOSIkI941JAOyj589xWHkZTtbUYuXqdJFoAMaO7McTSEEKI96Osm0V2irBIP6wEwRg4A4GF8EtCyhuLnNBQCPJ4Sgitf7Fvp+kata1tXyzUJIUQXUHJEdNdKj1Ifii6aFR9deFOUS1tg1PFqSZD2Fs6mMzcygLmRYTm1CSGEKIq61YhuMRRKEhhVSbgK5JXcIqVsFx5Ltg1xsRZWy/UIIURXUMsR0S08nqRlp5wE5kVKNvzWnAMA/DnSG+3r2JZ9XlFWmS1RylYgZtjxRn2aOlXbdQkhRBdoTMvRokWL0K5dOwiFQlhaWpZYh8fjFbtt3rxZrs69e/fQuXNnGBsbo2bNmli4cCEYhqmGV0DUBo8H8E3KvDnb2yIbRsiGEY49Siu3PvjV23qTlJbDlnt7OVbrtQkhRNtpTMuRSCTCwIED4ePjgy1btpRab9u2bejRowd738LCgi2npaXBz88Pvr6+iIiIQExMDAIDA2FiYoLp06erNH6iedxtTRD7NhMxSRlch1JMePRrtmxnLuAwEkII0T4akxwtWLAAABASElJmPUtLSzg4OJT42M6dO5GTk4OQkBAIBAJ4enoiJiYGq1evRlBQEHjVNMuIaIZRHdzxw39RuB73HnkFYrVaZLFos9kmzhYQGOhzHA0hhGgX9flrrySTJk2Cra0tWrVqhc2bN0Mslq5wfOXKFXTu3BkCgfSbtr+/P169eoW4uLhSz5mbm4u0tDS5G9F+rd2k0+NfpGRzGElx7zNFAOTXZCKEEKIcWpUc/fTTT/jnn39w6tQpDB48GNOnT8fixYvZx5OSkmBvL785Z9H9pKSkUs+7ZMkSWFhYsDcXFxfVvACiVuo7mLHlf26ozya0Ce+zkJ1XAAAY0saV42gIIUT7cJocBQcHlziIWvZ248YNhc/3/fffw8fHB82aNcP06dOxcOFCrFixQq7Ox11nRYOxy+pSmzNnDlJTU9lbQoL6fFAS1TIylPyKnC+cNq8Orj57x5a9alqUUZMQQkhlcDrmaNKkSRg8eHCZddzc3Cp9/rZt2yItLQ2vX7+Gvb09HBwcirUQJScnA0CxFiVZAoFAriuO6I6v2rtj09mniHqpPl2ph+4mAgAczI1gZEjjjQghRNk4TY5sbW1ha1vO+jFVcPv2bRgZGbFT/318fDB37lyIRCLw+XwAwMmTJ+Hk5FSlJIxor95ejth09ikA4HVaDuzNjcp5huqdj5G0YnWoq7rfHUII0WUaM+YoPj4ekZGRiI+PR0FBASIjIxEZGYmMDMk060OHDuGPP/5AVFQUnj59ij///BPz5s3D119/zbb6DB06FAKBAIGBgYiKisKBAwewePFimqlGSlVHZsDz2UfJHEYiUTQQGwA+bULrGxFCiCpozFT+H3/8EaGhoez95s2bAwDOnDmDLl26wNDQEBs3bkRQUBDEYjFq166NhQsXYuLEiexzLCwsEBYWhokTJ8Lb2xtWVlYICgpCUFBQtb8eohmM+frwqmmBey9TsTosBl+04nYA9NF7iWy5S307DiMhhBDtpTHJUUhISJlrHPXo0UNu8cfSeHl54fz580qMjGi7ho5muPcyFa/TcsEwDKetjIfuvOLs2oQQois0pluNEK580Uq6dMPjZG5Xy775PAUAMKQ1LSdBCCGqQskRIeVo7mLFlvfdfMFZHImp2cgXS5aeoM1mCSFEdSg5IqQceno88A0kvyqnZPY0q27h0dIB4U2dLTmLgxBCtB0lR4QoYJZ/fQDA0zeZyCsQl1NbNf699RIAUN/eDCYCjRkuSAghGoeSI0IU0MNTupnxvZepnMTwKEmyEKVPHRtOrk8IIbqCkiNCFOBkYcyWud5nbZA3DcYmhBBVouSIEAXo6fHQraFki5l9N19yGksjJ3NOr08IIdqOkiNCFFTUtSYqEONdRi4nMdSzNy2/EiGEkCqh5IgQBXVrKF2R+r9IbhZj/Kq9OyfXJYQQXULJESEKshTyUcNMsk/f/lvcrHfUm/ZTI4QQlaPkiJAK6NtMsvji/VdpyMkrqNZr6/EAcyPDar0mIYToIkqOCKmAke3c2PKFx29Vfr3cfGkCNrAlzVIjhJDqQMkRIRXgbCVkyxvPPlH59c48fMOWA2m8ESGEVAtKjgipoIEtnQEAt+M/qPxaf119zpbdbIRl1CSEEKIslBwRUkFD2riy5Rtx71V2nbwCMW7Hp6js/IQQQkpGyREhFdTcxZIt/3QkWmXXuVgNY5oIIYQUR8kRIRXE4/HQwcMWAHAn4QMKxIxKrvPjwSiVnJcQQkjZKDkipBLm9mrIlk/cT1L6+XPzC5DwPlvp5yWEEFI+So4IqQTZ/c3mH7yv9PPvjeB2c1tCCNFllBwRUklfeEvWHXqTnqv0BSF//J/yEy5CCCGKoeSIkEqa5leXLW+7FKe08776IO1O+6aLh9LOSwghRDGUHBFSSY4Wxmz5l9OPlXbeYJluujEd3JR2XkIIIYqh5IiQKljcz0up58svEOPkg9cAAHtzAYR8A6WenxBCSPkoOSKkCr5opdz9zkIux7HlX4e2UOq5CSGEKIaSI0KqQF+Ph37NayrlXAzD4GeZRSW93ayVcl5CCCEVQ8kRIVX0U19PpZznf5Gv2PKifso5JyGEkIqj5IiQKjIVGKCevRl7Pzk9p1LnmbY3ki0PaeVaekVCCCEqRckRIUqwdaQ3W+654gQgyqzQbfeFBzBGDoyRg597uUMvP6vwsSwOXxUhhOgmHsMwqtkYSoulpaXBwsICqampMDc3L/8JRPuJMoHFTqq9xtxXAN9EtdcghBAtpujnN7UcEaIMhkIUOLdR3fld2gKGQtWdnxBCCIsWUSFEGXg86I8+gW1nH2D5iYcAABsTAS7O9i3zaYfvvsLMf++y96MX9ii5oqEQ4PGUFi4hhJDSaUTLUVxcHEaPHg13d3cYGxujTp06mD9/PkQikVy9+Ph49OnTByYmJrC1tcWUKVOK1bl37x46d+4MY2Nj1KxZEwsXLgT1LBKl4PHwlW9jZMMI2TDCi0we5h+LlXSFlXB7nCLGpH9j2PrXgj8rtS4lRoQQUn00ouXo4cOHEIvF+O233+Dh4YGoqCiMHTsWmZmZWLlyJQCgoKAAvXv3Ro0aNXDx4kW8e/cOI0eOBMMwWL9+PQBJX6Ofnx98fX0RERGBmJgYBAYGwsTEBNOnT+fyJRIt8vCnHmjww3EAQOiV50jJysMvQ5rL1bn5/D36b7rC3g8d1RrmRobVGichhJCSaeyA7BUrVmDTpk149uwZAODYsWP49NNPkZCQACcnycDYPXv2IDAwEMnJyTA3N8emTZswZ84cvH79GgKBAACwdOlSrF+/Hi9evABPwW/nNCCblCfhfRY6Lj8jd2xpgBdcrYUY+uc1ueNBfvUwpWtdEEIIUS2tH5CdmpoKa2vpCsJXrlyBp6cnmxgBgL+/P3Jzc3Hz5k22TufOndnEqKjOq1evEBcXV+q1cnNzkZaWJncjpCwu1kJcndNV7th3++8VS4wW9fOkxIgQQtSMRiZHT58+xfr16zF+/Hj2WFJSEuzt7eXqWVlZgc/nIykpqdQ6RfeL6pRkyZIlsLCwYG8uLsrdT4toJwcLIzxb3As9Gjuwx8wE0p7sO/O7Y1ibWlyERgghpAycjjkKDg7GggULyqwTEREBb2/pAnuvXr1Cjx49MHDgQIwZM0aubkndYgzDyB3/uE5Rr2JZXWpz5sxBUFAQez8tLY0SJKIQPT0eNo9oyXUYhBBCKoDT5GjSpEkYPHhwmXXc3NzY8qtXr+Dr6wsfHx/8/vvvcvUcHBxw7Zp8l0VKSgry8vLY1iEHB4diLUTJyckAUKxFSZZAIJDriiOEEEKI9uI0ObK1tYWtra1CdV++fAlfX1+0bNkS27Ztg56efI+gj48PFi1ahMTERDg6OgIATp48CYFAgJYtW7J15s6dC5FIBD6fz9ZxcnKSS8IIIYQQors0YszRq1ev0KVLF7i4uGDlypV48+YNkpKS5FqBunfvjkaNGmHEiBG4ffs2wsPDMWPGDIwdO5YdkT506FAIBAIEBgYiKioKBw4cwOLFixEUFKTwTDVCCCGEaDeNWOfo5MmTePLkCZ48eQJnZ2e5x4rGDOnr6+PIkSOYMGEC2rdvD2NjYwwdOpRdBwkALCwsEBYWhokTJ8Lb2xtWVlYICgqSG09ECCGEEN2msesccYnWOSKEEEI0j9avc0QIIYQQogqUHBFCCCGEyKDkiBBCCCFEBiVHhBBCCCEyKDkihBBCCJFByREhhBBCiAxKjgghhBBCZFByRAghhBAig5IjQgghhBAZGrF9iLopWlQ8LS2N40gIIYQQoqiiz+3yNgeh5KgS0tPTAQAuLi4cR0IIIYSQikpPT4eFhUWpj9PeapUgFovx6tUrmJmZgcfjVfo8aWlpcHFxQUJCAu3RVkX0XioPvZfKQe+j8tB7qTy6/l4yDIP09HQ4OTlBT6/0kUXUclQJenp6cHZ2Vtr5zM3NdfKHVBXovVQeei+Vg95H5aH3Unl0+b0sq8WoCA3IJoQQQgiRQckRIYQQQogMSo44JBAIMH/+fAgEAq5D0Xj0XioPvZfKQe+j8tB7qTz0XiqGBmQTQgghhMigliNCCCGEEBmUHBFCCCGEyKDkiBBCCCFEBiVHhBBCCCEyKDniyMaNG+Hu7g4jIyO0bNkSFy5c4DokjbNkyRK0atUKZmZmsLOzQ9++ffHo0SOuw9IKS5YsAY/Hw7Rp07gORSO9fPkSw4cPh42NDYRCIZo1a4abN29yHZbGyc/Px/fffw93d3cYGxujdu3aWLhwIcRiMdehqb3z58+jT58+cHJyAo/Hw3///Sf3OMMwCA4OhpOTE4yNjdGlSxfcv3+fm2DVECVHHNi7dy+mTZuGefPm4fbt2+jYsSN69uyJ+Ph4rkPTKOfOncPEiRNx9epVhIWFIT8/H927d0dmZibXoWm0iIgI/P7772jSpAnXoWiklJQUtG/fHoaGhjh27BgePHiAVatWwdLSkuvQNM6yZcuwefNmbNiwAdHR0Vi+fDlWrFiB9evXcx2a2svMzETTpk2xYcOGEh9fvnw5Vq9ejQ0bNiAiIgIODg7w8/Nj9w7VeQypdq1bt2bGjx8vd6xBgwbMd999x1FE2iE5OZkBwJw7d47rUDRWeno6U7duXSYsLIzp3LkzM3XqVK5D0jizZ89mOnTowHUYWqF3797MqFGj5I4FBAQww4cP5ygizQSAOXDgAHtfLBYzDg4OzNKlS9ljOTk5jIWFBbN582YOIlQ/1HJUzUQiEW7evInu3bvLHe/evTsuX77MUVTaITU1FQBgbW3NcSSaa+LEiejduze6devGdSga6+DBg/D29sbAgQNhZ2eH5s2b448//uA6LI3UoUMHhIeHIyYmBgBw584dXLx4Eb169eI4Ms0WGxuLpKQkuc8hgUCAzp070+dQIdp4tpq9ffsWBQUFsLe3lztub2+PpKQkjqLSfAzDICgoCB06dICnpyfX4WikPXv24NatW4iIiOA6FI327NkzbNq0CUFBQZg7dy6uX7+OKVOmQCAQ4Msvv+Q6PI0ye/ZspKamokGDBtDX10dBQQEWLVqEIUOGcB2aRiv6rCnpc+j58+dchKR2KDniCI/Hk7vPMEyxY0RxkyZNwt27d3Hx4kWuQ9FICQkJmDp1Kk6ePAkjIyOuw9FoYrEY3t7eWLx4MQCgefPmuH//PjZt2kTJUQXt3bsXO3bswK5du9C4cWNERkZi2rRpcHJywsiRI7kOT+PR51DpKDmqZra2ttDX1y/WSpScnFwsiyeKmTx5Mg4ePIjz58/D2dmZ63A00s2bN5GcnIyWLVuyxwoKCnD+/Hls2LABubm50NfX5zBCzeHo6IhGjRrJHWvYsCH27dvHUUSaa+bMmfjuu+8wePBgAICXlxeeP3+OJUuWUHJUBQ4ODgAkLUiOjo7scfockqIxR9WMz+ejZcuWCAsLkzseFhaGdu3acRSVZmIYBpMmTcL+/ftx+vRpuLu7cx2SxuratSvu3buHyMhI9ubt7Y1hw4YhMjKSEqMKaN++fbElJWJiYlCrVi2OItJcWVlZ0NOT/5jS19enqfxV5O7uDgcHB7nPIZFIhHPnztHnUCFqOeJAUFAQRowYAW9vb/j4+OD3339HfHw8xo8fz3VoGmXixInYtWsX/ve//8HMzIxtjbOwsICxsTHH0WkWMzOzYmO1TExMYGNjQ2O4Kujbb79Fu3btsHjxYgwaNAjXr1/H77//jt9//53r0DROnz59sGjRIri6uqJx48a4ffs2Vq9ejVGjRnEdmtrLyMjAkydP2PuxsbGIjIyEtbU1XF1dMW3aNCxevBh169ZF3bp1sXjxYgiFQgwdOpTDqNUIt5PldNevv/7K1KpVi+Hz+UyLFi1o+nklACjxtm3bNq5D0wo0lb/yDh06xHh6ejICgYBp0KAB8/vvv3MdkkZKS0tjpk6dyri6ujJGRkZM7dq1mXnz5jG5ublch6b2zpw5U+Lfx5EjRzIMI5nOP3/+fMbBwYERCARMp06dmHv37nEbtBrhMQzDcJSXEUIIIYSoHRpzRAghhBAig5IjQgghhBAZlBwRQgghhMig5IgQQgghRAYlR4QQQgghMig5IoQQQgiRQckRIYQQQogMSo4IIaSS3r17Bzs7O8TFxQEAzp49Cx6Phw8fPqj0ujNmzMCUKVNUeg1CdBklR4QQlQsMDASPxyt269GjB9ehVcmSJUvQp08fuLm5Vflcr1+/hqGhIXbs2FHi4+PGjUOTJk0AALNmzcK2bdsQGxtb5esSQoqj5IgQUi169OiBxMREudvu3btVek2RSKSyc2dnZ2PLli0YM2aMUs5nb2+P3r17Y9u2bSVea8+ePRg9ejQAwM7ODt27d8fmzZuVcm1CiDxKjggh1UIgEMDBwUHuZmVlxT7O4/Hw559/ol+/fhAKhahbty4OHjwod44HDx6gV69eMDU1hb29PUaMGIG3b9+yj3fp0gWTJk1CUFAQbG1t4efnBwA4ePAg6tatC2NjY/j6+iI0NJTt/srMzIS5uTn+/fdfuWsdOnQIJiYmSE9PL/H1HDt2DAYGBvDx8Sn1NWdnZ6N3795o27Yt3r9/DwDYtm0bGjZsCCMjIzRo0AAbN25k648ePRpnzpxhu+mK/Pvvv8jJycHw4cPZY5999pnKk0tCdBUlR4QQtbFgwQIMGjQId+/eRa9evTBs2DA2qUhMTETnzp3RrFkz3LhxA8ePH8fr168xaNAguXOEhobCwMAAly5dwm+//Ya4uDgMGDAAffv2RWRkJMaNG4d58+ax9U1MTDB48OBiLTbbtm3DgAEDYGZmVmKs58+fh7e3d6mvJTU1Fd27d4dIJEJ4eDisra3xxx9/YN68eVi0aBGio6OxePFi/PDDDwgNDQUA9OrVCw4ODggJCZE719atW9G3b1/Y2Niwx1q3bo2EhAQ8f/68/DeWEFIxXO98SwjRfiNHjmT09fUZExMTudvChQvZOgCY77//nr2fkZHB8Hg85tixYwzDMMwPP/zAdO/eXe68CQkJDADm0aNHDMMwTOfOnZlmzZrJ1Zk9ezbj6ekpd2zevHkMACYlJYVhGIa5du0ao6+vz7x8+ZJhGIZ58+YNY2hoyJw9e7bU1/T5558zo0aNkjtWtBP6w4cPmaZNmzIBAQFyO8i7uLgwu3btknvOTz/9xPj4+MjFW6tWLUYsFjMMwzDPnj1jeDwec+LECbnnpaamMgDKjJEQUjnUckQIqRa+vr6IjIyUu02cOFGuTtGAY0DSomNmZobk5GQAwM2bN3HmzBmYmpqytwYNGgAAnj59yj7v49acR48eoVWrVnLHWrduXex+48aN8ddffwEAtm/fDldXV3Tq1KnU15OdnQ0jI6MSH+vWrRtq166Nv//+G3w+HwDw5s0bJCQkYPTo0XKv4eeff5aLf/To0Xj+/DlOnz4NQNJq5OzsjG7dusldw9jYGACQlZVVaoyEkMox4DoAQohuMDExgYeHR5l1DA0N5e7zeDyIxWIAgFgsRp8+fbBs2bJiz3N0dJS7jiyGYcDj8Yod+9iYMWOwYcMGfPfdd9i2bRu++uqrYs+TZWtri5SUlBIf6927N/bt24cHDx7Ay8uLjR8A/vjjD7Rp00auvr6+PluuW7cuOnbsiG3btrHjo7766ivo6cl/ly3qbqxRo0apMRJCKoeSI0KIRmjRogX27dsHNzc3GBgo/qerQYMGOHr0qNyxGzduFKs3fPhwzJo1C7/88gvu37+PkSNHlnne5s2blzrtfunSpTA1NUXXrl1x9uxZNGrUCPb29qhZsyaePXuGYcOGlXnu0aNH45tvvsHnn3+OFy9e4KuvvipWJyoqCoaGhmjcuHGZ5yKEVBx1qxFCqkVubi6SkpLkbrIzzcozceJEvH//HkOGDMH169fx7NkznDx5EqNGjUJBQUGpzxs3bhwePnyI2bNnIyYmBn///Tc74Fm2ZcjKygoBAQGYOXMmunfvDmdn5zLj8ff3x/3790ttPVq5ciWGDRuGTz75BA8fPgQABAcHY8mSJVi3bh1iYmJw7949bNu2DatXr5Z77sCBA2FoaIhx48aha9euJa6jdOHCBXTs2JHtXiOEKA8lR4SQanH8+HE4OjrK3Tp06KDw852cnHDp0iUUFBTA398fnp6emDp1KiwsLIp1Oclyd3fHv//+i/3796NJkybYtGkTO1tNIBDI1R09ejREIhFGjRpVbjxeXl7w9vbG33//XWqdNWvWYNCgQfjkk08QExODMWPG4M8//0RISAi8vLzQuXNnhISEwN3dXe55QqEQgwcPRkpKSqmx7N69G2PHji03TkJIxfGYkjrfCSFEiy1atAibN29GQkKC3PGdO3di6tSpePXqFTuQuixHjx7FjBkzEBUVVWaCpmxHjhzBzJkzcffu3Qp1MRLy/3buENdBIAqg6FsArhp2UdudoDEYJA7TIPDYaiSLYBUIVG0d6C9+0kxSU9M0ac6xY555yc1kMrzHVgE/bxzHOJ/PcTqdYlmWGIYh6rp+nh/HEdu2Rd/3UVXVW2EU8f8v0bqucb/fI8/zT43/Yt/3uN1uwgg+xM0R8POapolpmuLxeERRFFGWZbRt+4yLruvier3G5XKJeZ4jy7IvTwx8kzgCAEh4kA0AkBBHAAAJcQQAkBBHAAAJcQQAkBBHAAAJcQQAkBBHAAAJcQQAkPgD/zeC/vrQUbYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mplot2 = astroplot.ModelPHAHistogram()\n",
    "mplot2.prepare(dpha, full_model)\n",
    "\n",
    "mplot.plot(label='ModelHistogram in original bins')\n",
    "mplot2.overplot(label='ModelPHAHistogram matching data binning')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Object-less plots\n",
    "\n",
    "There are a number of plot classes that don't need a data object, such as scatter plots:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(1273)\n",
    "\n",
    "# I've never used the Wald distribution before, so let's see how it looks...\n",
    "#\n",
    "z1 = np.random.wald(1000, 20, size=1000)\n",
    "z2 = np.random.wald(1000, 2000, size=1000)\n",
    "\n",
    "splot = plot.ScatterPlot()\n",
    "splot.prepare(z1, z2, xlabel='z$_1$', ylabel='z$_2$', name='(z$_1$, z$_2$)')\n",
    "splot.plot(xlog=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and cumulative plots:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cplot = plot.CDFPlot()\n",
    "\n",
    "cplot.prepare(z1, xlabel='z', name='z')\n",
    "cplot.plot(xlog=True)\n",
    "\n",
    "cplot.prepare(z2)\n",
    "cplot.overplot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that this is a small sampling of the available plot types (although most are variants of plotting either the data or a model)."
   ]
  }
 ],
 "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": "3.10.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}