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   "file_extension": ".py",
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   "name": "python",
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 "cells": [
  {
   "source": [
    "# Pretty Plotting (literally)"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import hotstepper as hs\n",
    "from hotstepper import Bases, Basis, Step, Steps\n",
    "import hotstepper.samples as samples\n"
   ]
  },
  {
   "source": [
    "## Pretty Plot"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "Somtimes, we just want a pretty plot, inparticular, with step data, the formal plotting method should indicate the nature of the step end points, for example, filled markers indicate set membership, open markers we are plotting right up to, but technically not including that last point."
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "metadata": {},
     "execution_count": 2
    },
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "st1 = Step(5,15,2)\n",
    "st2 = Step(end=6)\n",
    "st3 = Step(4,weight=3)\n",
    "\n",
    "\n",
    "sts = Steps().add([st1,st2,st3])\n",
    "ax = sts.plot(method='pretty')\n",
    "sts.plot(ax=ax,method='smooth',smooth_factor=0.3)\n"
   ]
  },
  {
   "source": [
    "## Steps are funny"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "One of the things makes step functions different to regular functions is that they can be evaluated differently depending on the rule used to determine their membership to the range set. That all sounds fancy and stuff, but what it really means is where do we decide to make the step value change, before the step key, on the step key or after.\n",
    "\n",
    "For those needing something abit more mathematically concrete, please see the full explanation of step functions and their properties in the [HotStepper Documentation](https://hotstepper.readthedocs.io/step_functions.html).\n",
    "\n",
    "The short answer is, the step function will look different depending on the rule we use to evaluate where step changes occur. \n",
    "HotStepper by default uses the where='post' evaluation location, as this conforms with the signal processing definition used for the [Heaviside Step Function](https://en.wikipedia.org/wiki/Heaviside_step_function) which is the default basis.\n",
    "\n",
    "An easy way to see the differences and how they look, we can pass different where= parameter values to the plot method. We use the pretty plot method for the default (where='post') to clearly see the step change locations, changing the where parameter to either 'pre' or 'mid', we see how the changes occur relative to this fixed locations.\n"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ax = sts.plot(method='pretty')\n",
    "sts.plot(ax=ax,where='mid',linestyle='--',label='evaluation at mid')\n",
    "sts.plot(ax=ax,where='pre',linestyle='-.',label='evaluation at pre')\n",
    "ax.legend();\n"
   ]
  },
  {
   "source": [
    "## Smooth Plotting Multiple Basis (kernel)"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "Changing the basis to use for smooth plotting is pretty simple, just pick your nwe Base from the pre-baked selection, wrap it in a Basis, which allows you to specify a smoothing parameter to be used with that basis and give it to the plot method.\n",
    "\n",
    "A few items to point out here, as you can take your next **steps** in multiple ways with HotStepper.\n",
    " - Can smooth plot by calling smooth_plot() on the steps\n",
    " - Can smooth plot by using method='smooth' in the call to plot() on the steps"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ax = sts.plot(method='function',label='funcion',linewidth=3,linestyle='-.')\n",
    "sts.plot(ax=ax,method='smooth',label='smooth (default)',smooth_factor=0.5)\n",
    "sts.plot(ax=ax,method='smooth', smooth_basis=Basis(Bases.arctan,0.5),label='smooth (arctan)')\n",
    "sts.plot(ax=ax,method='smooth', smooth_basis=Basis(Bases.exponential,0.5),label='smooth (exponential)')\n",
    "sts.plot(ax=ax,method='smooth', smooth_basis=Basis(Bases.sigmoid),smooth_factor=2,label='smooth (sigmoid)')\n",
    "sts.plot(ax=ax,method='smooth',smooth_factor=3,label='smooth (default - strong)')\n",
    "\n",
    "ax.legend();"
   ]
  },
  {
   "source": [
    "Hostepper has a couple of basis functions that don't do smoothing in the same way the other bases do. The short answer is that these basis functions don't have a limit representation of the Heaviside function, unlike the other bases. For a full explanation of what this means, please see the [Basis and Bases](https://hotstepper.readthedocs.io/basis.html) documentation. So the normal and sinc basis represent a class of basis functions ([kernel functions](https://en.wikipedia.org/wiki/Kernel_smoother)) that are centered around zero and provide a means to smooth the step **changes** instead of the step function **values**. This can be very helpful when analysing the nature of the transitions that occur within the steps data."
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ax = sts.plot(method='smooth', smooth_basis=Basis(Bases.normal),smooth_factor=0.5,label='smooth (normal)',linestyle='--')\n",
    "sts.plot(ax=ax,method='smooth', smooth_basis=Basis(Bases.sinc),smooth_factor=0.5,label='smooth (sinc)',linestyle='-.')\n",
    "\n",
    "x = np.arange(-1,sts.last()*1.5,0.01)\n",
    "\n",
    "for s in [st1,st2,st3]:\n",
    "    ax.step(x,s(x),linewidth=3)\n",
    "\n",
    "ax.legend();"
   ]
  },
  {
   "source": [
    "If you create a new Basis and specify a smoothing parameter for that Basis, then you specify a smooth_factor in the call to smooth plot or plot with method='smooth', the parameter in the Basis object will be overridden by the provided smooth_factor."
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 1152x576 with 1 Axes>",
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ruPXWWxk/fjzz5s2jpKSEdu3ace211/L555+zYsUKVq5cyb59++jSpQt9+/Zl/vz5R338scce48knn+Sbb76pyP7OO6xYsYLffvsNb29vWrZsyYQJE2jSpMkRGefNm8cFF1wAVBRmWVlZrF69GoCcnJwj9i0pKeGaa65h9uzZJCUlVR532JYtW5g5cyZr166lR48efPbZZzz++OOMHTuWb7/9luHDhzN+/Hh+/vlnWrRowSWXXMIrr7zCLbfcUtnGrl27uP/++1m2bBnBwcEMGDCAjh07Hvfr/FeXXHIJL7zwAv369eO+++7jwQcf5Nlnn6WsrIytW7eSlJTE1KlTOe+88ygvL2fChAl89dVXREZGMnXqVP7zn//w9ttvA1BWVlZZ+E6bNu2I+w888EDlOS+77DJefPFF+vbty8SJEysff+uttwgODmbJkiWUlpbSq1cvhg4dSlJSEmlpadxzzz0n9dyORj2YIiIiIiINQEpKCj/++CN33XUXc+bMITg4uHLbmDFjKvfp1q0bgYGBREZG4u3tTU5ODnPnzuWCCy7AZrPRqFEj+vXrx5IlS475+NEMGjSI4OBgfHx8aNOmDZmZmX/bZ9euXURGRgKQnJxMeno6EyZMYMaMGQQFBR2x7/r160lOTiYpKQngbwXmiBEj8PLyIiUlBafTWXmNYUpKChkZGWzYsIGkpCRatGgBwKWXXsrs2bOPaGPRokX079+fyMhI7HY75513XpW/3lBRxOfk5NCvX7+/nePcc8+t7PE9XGBu2LCB1atXM2TIEDp06MAjjzzCjh07Ktv76/mPlicnJ4ecnBz69u0LwMUXX1y57YcffuC9996jQ4cOdOvWjf3797Np0yYAoqKi2Llz50k9v6NRD6aIiIiIiAVO1ON4vP39IvxO+vgWLVqwfPlypk+fzj333MOgQYO47777APD29gbAw8Oj8vbh+w6H46TOcyx/btdmsx21XV9fX0pKSgAIDQ1l5cqVfP/997z66qt8/PHHlT15J3M+Dw8PvLy8MAyj8r67ntNhw4YNY8+ePaSlpVX5+s3zzjuPc845hzPPPBPDMGjevDmrVq2ibdu2LFiw4KjH+Pv7H/f+iZimyQsvvMCwYcP+tq2kpARfX9+Tau9o1IMpIiIiItIA7Ny5Ez8/Py666CImTpzI8uXLq3xsnz59mDp1Kk6nk+zsbGbPnk3Xrl2P+XhgYCD5+fknnbF169Zs3rwZgH379uFyuTjrrLN45JFH/pa3ZcuWpKenk5GRAVDZG1hVLVu2JCMjo/J8kydPruxpPKxbt27MmjWL/fv3U15ezieffHLUtr7//ntWrFjxt+IyODiY0NBQ5syZ87dzNG3aFJvNxsMPP1zZE9myZUuys7MrC8zy8nLWrFlzUs8rJCSEkJAQ5s6dC3DEdZXDhg3jlVdeqbwGdePGjRQWFlbePtFss1WhHkwRERERkQZg1apVTJw4sbJH75VXXqnysWPHjmXBggWkpqZiGAaPP/440dHRx3w8PDwcm81Gamoq48ePJzQ0tErnGTVqFL/++iuDBw8mKyuLyy67DJfLBcCjjz56xL6+vr68/PLLDB8+HH9/f7p06VL1Lwbg4+PDpEmTOOecc3A4HHTp0uVvM7HGxMTwwAMP0KNHD0JCQujQocNJnQPg3Xff5dprr6WoqIjk5GQmTZpUue28885j4sSJbN26FQC73c6nn37KTTfdRG5uLg6Hg1tuuYW2bdue1DknTZrE5ZdfjmEYDB06tPLxK6+8koyMDDp16oRpmkRGRvLll18CMHPmTEaNGnXSz++vDNM0T7mRv0pLSzMPX2wqIuIuP42F/HQYu9LqJH+Y1hM8A2DED1YnERGR2m7dunW0bt3a6hi1WnFxMQMGDGDevHnYbLYT7l9QUEBAQACmaXLDDTfQvHlzbr311hpIWv/07duXr7766m9vBhzt+9YwjGWmaaYdrR0NkRURERERkVrB19eXBx98kKysrCrt/8Ybb9ChQwfatm1Lbm4u11xzTTUnrJ+ys7O57bbbqtzTfDwaIisiIiIiIrXG0SagOZZbb71VPZZuEBkZyRlnnOGWttSDKSIiIiIiIm6hAlNEREREpIZUx/wnItXln3y/qsAUEREREakBPj4+7N+/X0Wm1AmmabJ//358fHxO6jhdgykiIiIiUgPi4uLYsWMH2dnZVkcRqRIfHx/i4uJO6hgVmCIiIiIiNcDLy4ukpCSrY4hUKw2RFREREREREbdQgSkiIiIiIiJuoQJTRERERERE3EIFpoiIiIiIiLiFCkwRERERERFxCxWYIiIiIiIi4hYqMEVERERERMQtVGCKiIiIiIiIW6jAFBEREREREbdQgSkiIiIiIiJuoQJTRERERERE3EIFpoiIiIiIiLiFCkwRERERERFxCxWYIiIiIiIi4hYqMEVERERERMQtVGCKiIiIiIiIW6jAFBEREREREbdQgSkiIiIiIiJuoQJTRERERERE3EIFpoiIiIiIiLiFCkwRERERERFxCxWYIiIiIiIi4hYqMEVERERERMQtVGCKiIiIiIiIW6jAFBEREREREbdQgSkiIiIiIiJuoQJTROQkmaZJ7vZc8nfmA+B0lrHo+UXsXrkbAJfTRWleqZURRURERCzhaXUAEZG6wFnmZOM3G1n3+TrSf0qncE8hPW7vAQwF02TGzTMY9uwwolOj2b9hPy+3fZnghGDiuscR1yOOpAFJRKVEYRiG1U9FREREpNqowBQROY7S/FIWPb+Ixc8vpnBvIX4RfiQPSSa+dzzxveNZPB88bHYmZk/E06fiV6pPqA+DHhvE7uW72T5/O2umrgEgKC6IZiOb0XJMS5oOaYrNbrPyqYmIiIi4nQpMEZGjME2T3yf/zg93/EBRdhHNRzYn7fo0mg1rhofnkVcXGIaBX4Rf5f3AmEB639W78n7ejjw2f7+ZzdM3s3rKapa/vhyfEB8um3sZUW2jauw5iYiIiFQ3FZgiIkex6LlFfH/r9zTp2YQLpl1AXLe4f9xWUFwQna7oRKcrOuEsc5L+Uzrrv1pPeItwAOY9MY+C3QUMfXKohtCKiIhInaYCU0TkT0yXieFhkHppKp4+nnS6qhMeNvfNh2az22g+sjnNRzavfCxvRx552/Iqi8sV76wgvnc8Yc3C3HZeERERkZqgAlNE5JAtP2xh9sOzueiHi/AN9SXt2rQaOe+I50ZgmiYARfuK+PrKrzGdJo27NSZlXArtzmuHf5R/jWQRERERORVapkRE5BBHiQNHiYPywvIaP/fh3ku/CD9uybiFwY8PxlHiYMZNM3gq9ik+GPkBq6asoqywrMaziYiIiFSVejBFpMEryS3BJ9iHlmNa0nxUc7cOif0nguKC6DWxF70m9mLv6r38/sHvrJ6yms/HfY6XvxetzmjFoEcHEdwk2NKcIiIiIn+lHkwRadB2r9jN88nPs+6LdQCWF5d/FdUuisGPDubmrTczftZ4UsalsPWXrXgHeQOwecZmNkzbYHFKERERkQrqwRSRBqtoXxEfjvkQL38vGndpbHWc4zI8DBL6JpDQNwHXy67KQnjB0wso2ldEy9NaArDpu01EtIwgJClEM9KKiIhIjVOBKSINksvp4rMLP6NwbyGXz7ucoLggqyNV2Z97WS/85kLysvKAimtIPz7rYxzFDoLjg0kckFjx0T+RkIQQi9KKiIhIQ6ICU0QapFkPziL9x3ROe+M0YjvHWh3nH7PZbYQmhVbc9rZxzfJrSP85nYyZGWz8ZiMr310JQFCTIBp3aUxs11hajG5BVNsoK2OLiIhIPaUCU0QanO0LtjPnv3NIvTSVjld0tDqO2xiGQUSrCCJaRdD1hq6YLpO9q/eydeZWshZmkbU4i3Wfr8M70JuotlEcTD/ID3f8QL/7+hHdIRpHiQMM8PTWnwYRERH5Z6r0KsIwjAwgH3ACDtM0a2ZxOBERNysvLuer8V8RFBfEiOdH1OvrFA0Pg0btG9GofSO4ueKxov1FeHhWDLEt2FNA9trsyjU4V09dzdeXf01wfDAhSSGEJIUQmhRa+TkwNpCAmAAVoCIiInJMJ/MqYYBpmvuqLYmISA2Yee9M9m/cz8U/Xlw5E2tD4hfuV3m7SY8m3Lj+xsr70anR9PlPHw5uOcjBrQfZPH0zBbsL/tbG9WuuJ7JNJOu/Ws/aT9Zy2uun4eXnxY6FOzi49SC+ob74hPrgG+qLb5gv3kHe2Oy2Gnl+IiIiYi29DS0iDUbxgWKWv7mcztd2JnlwstVxap3oDtFEd4g+4rHyonJyMnLIycghf1c+BbsKKidEKthVwI6FO/D0qfhT8tuk31j++vKjtu3h6YE9wI6Xvxe3ZN6Ch82DBc8sIGtRFmd/dDYAi19azL51+7DZbRUf3rY/bttteHp74h3sTcoFKQDsWLgDZ5mThL4JFfcX7aC8sBzDZmB4GHjYPDBsf3w2PAzsAXbCmoYBkLcjDw8vDwIaBQCQvzMf02WCUTHcuPIzVN62edvwCfYBoCSnBJvdhpefF6ZpUpZfdsS+R9w2/vg62LxsmKaJy1ExG7DhYVT2IgP1ulddRETqv6oWmCbwg2EYJvCaaZqvV2MmEZFq4Rvmyw3rbsDub3dbm4YNdv4Ib9Wu5TPdyAuIPPRRYdN9h2+l4U8abx/6S+IyB9OIHrgoPvRRgotiTEoxHWWYOeW4chxM8qr4YuWZTsoo562PK47fb+6glM2YODFxUnFVxpFsBLF4XEWBmW3OwkURjYyrANhjfkM5e07wbGL/tP8UbIQQYZwPwE7zVVwUHfd4H1r+af8X8KU1ocZoTNMki8eOeyyAP53/tP8jBNGfIKMfDjOP3Tx7lCOMI24H0Y8go++h/Z8nlNH4Gx0oM3eSzTt/2/+vbYQwAn+jPWXmLvbxPmGchY+RTIm5mQN8dcSxxlHaCOV0fIwkSswtHOQbIrgQLyOSInMVefx6gvMbhHMOXkYEReYa8plDBJdgM/woMJdRxO8YeMChD+Mon0MYgYfhQ7G5kVLSCTGGA1BsbqScvRh4YuB1jM+eeBGNYRiYprOiTRXzNS6mP4z8xeoUIlKdqlpg9jZNM8swjCjgR8Mw1pumOfvPOxiGcTVwNUB8fLybY4qInJqcjByCE4IJjAl0a7ud/ws7f3Jrk3WY76GPqur9l/tnHnHPNE1MlwuX01n5Ybpc+B5aUabwwAhMl4uAiIr7ubtOx1FWeug4E9N0VfRImq7Kx7x8vIlIqth/z8YB2Lzslfcjfh+G01F++ORH5Dj8mG9IKI2aV9wNXT4Q/9AwIpLANA2CFw09oicS08T8S1tB0dFENa3YP2DuAMISEgiPh/ISb4IW9Tty/8PH/+mxiKQmRCRBeYkd/7ndiG4dSWhjKM71Z+vizn/a1Tz0X8XnQ40Q2zaUsCZQlOPLlvltSEgLICgKcncHkLm0xaG9Dh9zuI0/MiR38yUoGnJ2+bJ1UTwt+3vhFwLZ6X5sXxFbmfPPz+PPX5M2g234hcLezXYyl4XQ/nQPvHxg+woPdqyyYbpcmK7yin93l/PQ/T8+2l3hwu4Hm+bsJn3R73S4o6LAXPHVWvb/vpLjMQyDUfdUvDuycto3ZKenM/jmWwFYPWM6eXv24Ontg5ePD3Y/X7z9A/D298fuH4B3gD8+AYH4BLr390dDs/1bOLjG6hQiUt2MI/4YVuUAw3gAKDBN88lj7ZOWlmYuXbr0FKOJiBzpp7GQnw5jj/868m9K80p5seWLtD6rNSNfHFk94UTEMqbLxFHqwFHsoLy4/KifnWVOWo5pCcCGrzeQk5FDt5u6AfDzv39mx4IdlOSUUJJTQmF2IeWF5UecI6xZGBM2TQBgxq0zsPvbGfjIQKBiZurA2ECC44PVK3oc866DjM9h3PEHGohIHWAYxrJjTfx6wh5MwzD8AQ/TNPMP3R4KPOTmjCIi1cbLz4uB/x1Io9RGVkcRkWpgeBh4+Xrh5euFbxV60Q8XmocN+r9Bf9unrLCMwr2FFO4ppGDPkZNdleaVVvSOH/LR6R9RlF2EPcBOROsIotpGEdk2kuiO0TTu0rhBTigmIg1XVYbINgK+OPSOnCcwxTTNGdWaSkTEjTw8Peh4ef1Z71JEqp/d3449yU5oUujftp3+1ulH3D/3s3PJXptd8bEmm80zNrPinRUVGw2IbB1Jlxu60OX6LjWQXETEWicsME3TTAdSayCLiIjbzX5kNj4hPnS9savVUUSknkrok0BCn4QjHivaX8TOpTvJWpRF1qKsyrmOCrMLeavHW4x4fgTNRza3IK2ISPXSMiUiUm/lbstl9sOzSbkoxeooItLA+IX70WxYM5oNa3bE46W5pUS1iyIgumJ5nC0/bGHJy0tofVZrWo5pWbkMjohIXaUCU0TqrTn/NweA/vf3tzaIiMghYc3COP/L8yvvH+7p3PDVBjx9PWlzdhs6XtGRhL4JmjBIROokFZgiUi/l78pnxaQVpI5PJTg+2Oo4IiJHlXJBCu3Oa8eORTtY+d5KVk9Zze+TfyesWRhdJ3Sl4xUd3bp2r4hIdau3S4OLSMO26LlFuBwuek3sZXUUEZHjMjwMmvRowuhXRnP7rts5490z8I/yZ8bNM3imyTMsfHah1RFFRKpMPZgiUu+U5JSw5OUltDmnDWHNwqyOIyJSZV5+XqRekkrqJalsn7+d+U/Mr1wSxeV0UV5Ujneglj0RkdpLPZgiUu8seWUJZfll9L67t9VRRET+sSY9m3DeF+fR/dbuAPw++Xeeb/o8B9MPWpxMROTYVGCKSL3iKHGw6NlFNBvejOgO0VbHERE5ZYcn+4lKiaLtuW0JSQoBKkZriIjUNiowRaReWf/Vegr3FtJzYk+ro4iIuFVs51hGvjgSwzDI35XPc8nP8d3N31FeVG51NBGRSroGU0TqlbbntiUwJpD4PvFWRxERqTZefl6kXJjC4ucXk/5DOmdOOZOYjjFWxxIRUQ+miNQvhmFo/TgRqfd8gn0Y+eJILv7xYkpyS3iz25vMf2o+pmlaHU1EGjgVmCJSb3x7/bf8+uCvVscQEakxyYOTuW7VdbQY3YIf7/iRzy74jLLCMqtjiUgDpgJTROoF0zQpKyijrEAvrESkYfEL9+Pcz85l0GODWPPxGt7u9TY5GTlWxxKRBkoFpojUC4ZhMPa9sQx5fIjVUUREapxhGPS+qzfjpo8jJyOHt3q+pTfcRMQSmuRHROo8l9PFgc0HiGgZoWsvRaRBaza8GVcuupLdv+3GHmC3Oo6INEDqwRSROi/9x3ReavUS6T+lWx1FRMRyES0jaHd+OwA2TNvA2k/XWpxIRBoS9WCKSJ3321u/4RfhR0LfBKujiIjUGqZpsvj5xZTml9JqbCs8bOpXEJHqpwJTROq0wuxC1n+1nq43dsVmt1kdR0Sk1jAMg/O+OA+Xw6XiUkRqjH7biEid9vvk33GVu+h4RUero4iI1Dr2ADs+IT6UF5czdexUNs/YbHUkEannVGCKSJ1lmia/vfUbjbs1JqptlNVxRERqLWepk5zMHD4+62N2Lt1pdRwRqcc0RFZE6qysxVlkr81m9OujrY4i8o+YponLBTabgdNpkp5RQFmpE4fTxHnoIybal7jGfpSUOJm3MBubh4GHzcDTZuDhYRDfxJ/YGF/KypykZxTi62PD19dW+dnTU+8lC/iE+DBu+jje7P4mU0ZP4cqFVxKSGGJ1LBGph1RgikidteqDVdi8bbQ9t63VUUQAyM4uYffeEvbtK+VgThkHc8pITPBnUP9onE6TS6+aT05OOYVFDoqKHBQVO7nogiTuuq0NJaVOTj9n1t/avO6q5ky4riX5BeVMuG3p37bffnNrrri0KTt3F3Pm+bP/tv2+f6dw/tkJpG8t4I5/Lyc4yIuQEDvBQV4EB9kZNTyWFs2DKCgoZ3tWEZERPoSF2vHw0JI/9U1AdADjvhvH2z3f5oORH3DF/CvwCfGxOpaI1DMqMEWkTnI5XKyZuoaWp7XEJ1gvkKRmZGwrIDOzkG3bC8naWczuvSUkJfhz8w2tADj9vFnk5JQfcczoEY0Z1D8am80gMMCLiAgfAgM88fW14efrSaeOYQD4+th46rFOeHt74OnpgafNwGYzaBzrB0BIsJ1PP+iD02Xicpo4XRU9nIe3R4b78NwTnSkudlJU4qS42EFJiZOUNsEAGAbENPIlJ7eMTZvyyc0rIzevnJS2wbRoHsSK3w9y9Y2LAfD0NIgI9yYy0od77mpHStsQsnYWsXptDnGxfsTF+REcpDUW66LI1pGc+/m5vD/sfT4++2MumnERHurlFhE3UoEpInXSvvX7cJQ4SBmXYnUUqUdM0yR7XymbNuezeUs+6VsL8Pbx4N8TK9YUvPXO5WzYmAeAr6+NmEa+REV6Vx5/710p+PjYiIz0JjTETkiIHT/fP2Y3fuX5rsc8t4eHwYihscfc7uXlQZvWwcfc7u/vyZBBMcfcnpQYwEvPdvnb8zXNitutWwXz3BOdyd5Xyt7sEvZml5CdXYqPT0X++Quzuf+RVZXHBgZ4EhfnxzP/60x8E3+2bS/kwIEykpMDCAr0OmYOsV7SgCRGvzqar6/4ml/u/YXBjw62OpKI1CMqMEWkTopqF8Xtu2/XO+/yjxUVO1i/IY9t2ws547QmANx613J++GlX5T6hIXY6pIZW3v/3xLZ4eXoQH+9HaIgdwzhyGOmIYccuEGsjwzA4/BTCw7yPW6COGtGYdm1DyMoqYntWUeXnoKCKYvLLaTt49c1NAEREeNM0MYDkpAAm3toGHx8bTqeJzaZht7VFx8s7smPRDuY9No/GXRvTemxrqyOJSD2hAlNE6hzTZYIBXr7qJZGTs2DRPqZN38GadblsSc/H5aoYOjpscCy+vjZGDYula+dwmjcLpFlyIKGhRw4D7dI53KLk1vPz9aR1y2Batzx6L+r55yTQvl0IW7YWsCW9ovd35uw93HN3Re/v/Y/8zsLF+2jVMojWLYMrP8fG+Nbk05A/GfH8CHb/tpvlry+n1Rmt/vaGiYjIP6ECU0TqnNVTVzP74dlc/MPFBMUFWR1HaqF9+0v5bcUBlv12gOUrDvDM451pHOvHlq35zJm3l3ZtQhgyMJp2bUJo3SoIH5+KnvDj9eDJ8UVF+hAV6UP/vo2Our1L53BKSpys35DHzFl7ME1ITPBn+hcDAJg2fQdBgV60bxf6t8JeqoentycXfnMhPiE+Ki5FxG1UYIpIneMb6ktkm0gCYwOtjiK1hGmaGIbBylUH+dd9K8jILATA29uD9u1CKCpyAHD+2QmMOy9RL6YtcProOE4fHQdUDE/etCmfgkJH5fannlvH3uxSAOKb+JGaEsqQgdEMHqiivzr5R/kDULS/iE3fbiL1klSLE4lIXacCU0TqnGbDm9FseDOrY4iFCgsdLF66n/mLslmwcB8XXZDI+eckEhXpQ1JCAGed3oTOHcNp0yYYu9cf1+lqTcjawc/Xk9T2oUc8Nv3LAaxdm8vKVQdZuSqHBYv3ERbmzeCBMZSVu7h14jI6pIbSpVM4bdsE4+Wlf0t3WvDUAhY8vYCkgUkaGSIip0QFpojUKSUl+yja54dfhJ/VUcQC5eUurrhuISt+P4jDYeLj40Fap3AaRVVcxxcT7fu3mVKlbvDz9SStczhph65zNU2T8nIXAHv3lrBtRyEzZ+8BKpZ06ZAaynVXNSetU8O9Ltad+t7bl3YXtFNxKSKnTAWmiNQpO3fOYFKfXG5Yd4PVUaSalZW7WLpsP7/M2kN5mYsH722Pl5cHcY396JgaRs/uEXRMDcVut524MalzDMOo/LeNa+zHtE/7c+BgKUuXH2DJsv0sXbYfDi2xsmjJPt7/aCu9ukfSq0ckTeL8LUxeN3n5etEopeL62Z1LdxKbVrdmRBaR2kMFpojUGeVlRRQUpJN6Rk+ro0g1mrcgm8++3Mac+dkUFjrw8fGgf59GlddZ/t+DHayOKBYJC/Vm6KAYhv5lMqaDOWWsW5/HzzMrejibxPnRu0ckt05oRUCAZps+Geu/Ws/UM6Zy7mfn0vpMLV0iIidPBaaI1BkHdm0ATNqc1cbqKOJGpaVO5szbS++eUfj42Fi1Joclyw8wYmgMA/pG071rBL6+6qWUYxs+JJZhg2PI3FbIvAXZzFuQzay5e/n3nRVLpHz0SQblDpOB/RrROFbD64+n+cjmRHeIZvoN00kckIhvqJaREZGTY5im6fZG09LSzKVLl7q9XRFp2J6PnkLBgb38q/RmzQJax5WXu5i/MJvp3+/kl1l7KCx08NwTnRkyKIbiYid2uwc2m/6N5Z9zuUw8PCq+h66+YRFzF2QD0LJ5IAP6RTN4YDRtWh19Tc+Gbtdvu3ijyxukXpLK6W+f7rZ2510HGZ/DuD1ua1JELGIYxjLTNNOOtk09mCJSJ5TklpCzdwvh4d1UXNZxu3YXc+5Fc9h/oIygIC+GD4lhxNBYuqZVTNai3kpxh8PFJcDrL3UjY1sBv87ey8xZu3n97U3s3lPM/z3YAdM0WbJsPx1TwzQz7SExHWPodWcv5j46l3YXtKPpkKZWRxKROkQFpojUCRunbcQ0XQQHa3hsXZOTW8b0GTspLnFyxaVNiW7kw7DBMfTsEUnvnlFHLCMiUl0S4wMYf1EA4y9KJienjKJiJwCbNucz/uqFBAd7MXhANMOHVLzZ0dCLzX739WPdZ+uYfv10rlt9HZ7eeskoIlXTsH97ikidsfbTtdh9g/Dza2x1FKkC0zRZumw/t9+9nH5Df+KR/61mzry9lRP13HN3CgP7Rau4FEuEhNiJjam4tjAh3p8Xnk6jd89IvvthJ1fdsIi+Q3/k99UHLU5pLU8fT0a8MIIDmw8w/8n5VscRkTpEb0eJSK1Xml/K5hmbiWqcpuGxdcSLr27klTc2ERToxXlnxzN2TBNat9T1blL7eHvbGNQ/mkH9oyktdTJ3QTY//ryLpsmBAHz0aSbrN+QyZlQcHVNDG9TvoKZDm9L6zNbM+e8cUi9OJTheP8MicmIqMEWk1stanIXL4SKicRvItTqNHM2mzXl8+EkmY8c0IaVtCCOGxRIb48vIYY11TaXUGX8uNg/bt6+Ead9m8fFn24hr7MdpIxszekRjkhIDLExac4Y9M4xN321izv/NYfSro62OIyJ1gApMEan1kgclc/uu25l/lS8FKjBrDdM0mb9wH5Mmb2H+wn3Y7R60bhlEStsQmiUH0uxQD5BIXXbjtS257JKm/PzLbr6evoPX3trEylUHefPl7gAUFJTX67U2g+ODGTd9HLFdYq2OIiJ1hApMEakT/CP9aUAj02o90zS59KoFLF1+gMgIb265sRXnnhlPSIjd6mgibufv58mY0XGMGR3H3uwScvPKAcjOLmHIab/Qs1sEZ54RT7/eUfVycqDE/okAOMucGB4GHp717zmKiPvoN4SI1GpbZ27lvUHvcXBrw55wozbIzy/no08ycLkqJuoZPiSW/3swlR+/GcjVlzdTcSkNQlSkD82bVvTOGx4Gl1yYxNr1udx0+1IGjvyZp55bR/a+EotTul/BngJeavMSy15fZnUUEanl1IMpIrVaWUEZJTklBDRqGNc71UY5uWVMnrKV9z/cSn6Bg9Ytg0ltH8qF5yVaHU3EUhHh3tx2U2tuur4lc+dn89lX25j84VbGnZ8IQNbOIkJD7fj51v2XW/5R/iQPTia8RbjVUUSklqv7v/FEpF5reVpLWp7W0uoYDVJhkYPX3trElKkZFBU5GToomquvaE6bVppJUuTPPD096N+3Ef37NiIvv5ygwIprMh94ZBUrVx9k5LBYzj0roU7/7BiGoUl+RKRKNERWRGqt0vxSnGVOq2M0OA6HCwAvLw9m/LCL/n0a8dXHfXn2ibQ6/QJZpCYcLi4BrrmyGYP6R/P1tzs4+8I5XDh+HjNn7bEw3akryS3h5//8TO52zbgmIkenAlNEaq1Fzy/iiagnKM0vtTpKg5CbV8YzL6zn9HNnUVrqxO7lwVcf9+PJRzvRvFmQ1fFE6py0TuE8+lAHfv1+CP+6ow05uWVszSwAoLTUyY6sIosTnrySgyUseHIBM++daXUUEamlVGCKSK218euNRLSKwDvQ2+oo9VpRsYM3Jm1m2GkzefOdzbRpHUxRUUXPsdawFDl1QYFeXHxhMt9+3p+LLkgC4PufdjFszC9cf/NiZs/bi8tlWpyyakISQ+h2czdWvreS3St3Wx1HRGohFZgiUivl78ona3EWLU5rYXWUem3nrmKGnz6TZ15YT8fUUD77sC9P/LcToaGaEVbE3QzDwH5oGZNuXcK55ormrFqby7UTFjPijJm8+3465eUui1OeWO9/9cYn2Idf7/vV6igiUgupwBSRWmnjNxsBaDlGE/y4m2maZGyrGKYXE+3D0EExTH6rJ68835VWLTQUVqQmNIry5abrW/Lz9EE89WgnIiN8+HLadjw9Kxb8LSgotzjhsfmG+tLjjh5s+HoDWYuzrI4jIrWMCkwRqZU2fr2RkMQQotpFWR2lXlm7PpfxVy/grAvmkJ1dgmEY3HNXOzp3DLM6mkiDZPfyYMSwWN5/uyfvvdkTwzDIzy9n8KhfuPmOpSz77QCmWfuGz3a7qRt+EX78cs8vVkcRkVpGBaaI1DrlxeWk/5xO89HNMQzD6jj1QnZ2Cf95YCXnjJvD5i0FTLy1jYbBitQygYdmoHWZJuedncDiZfu5+Ir5nHfxXKZN30FZLRo+6x3oTa+7e5H+YzoZszKsjiMitYgKTBGpdTJnZ+IodtB8ZHOro9QLBw6WMvLMX5k2fQfjL0rmu68GcP7ZCXh66k+ASG0UHGTn1gmt+GX6YO7/dwpFRU7uumcF6VsLrI52hC7XdyEgJoCZ986slb2sImINT6sDiIj81ebvNuPp40li/0Sro9Rp6VsLSE4KICzUm1tuaEnvnlEkxPtbHUtEqsjX18Z5Zydwzpnx/L4qp/Ia6Uf+txq73YNLxyXRKMrXsnxevl70vacv02+Yzq5lu4hNi7Usi4jUHnr7WkRqnc3fbSaxfyJevl4n3ln+ZtfuYm6ZuJQx5/zK2vUVi6GPOz9JxaVIHeXhYdAhNRSomKSrsNDBex+kM2T0L9zz4EpLezY7XdmJKxZcoeJSRCqpB1NEap3zvjwPR4nD6hh1Tnm5i/embOXl1zdimiYTrmtJs+QAq2OJiBsZhsGjD3Xghmta8M7kLXz21Xa++Ho7D93bnrPOiK/xPDa7jbjucQC4nC48bOq7EGnoVGCKSK0T2TrS6gh1jtNpcuH4eaxZl8uAfo3498S2NI71szqWiFSTuMZ+3HN3Ctdf04IPPsqgR7eK35ur1uRw4GApfXtF1egkaTPvm0nm7EwunXmpJmcTaeBUYIpIrbLg6QVEtIrQBD9VVFLixMfHhs1mcNbYeK6/2ocB/RpZHUtEakhYqDcTrvtjveDJU7byzXdZtGgWyFWXN2P4kFhstuov+IITgolqF4WzzImnt15eijRkGscgIrWG6TJZ9NwiNn23yeoodcLseXsZeeZMfvh5FwDnn52g4lKkgfvvA6k8+lAHnC6Tif/+jdPO/pXvf9pZ7eftdEUnRr44UsWliKgHU0RqD8PD4Kb0mygvLLc6Sq128GAZjz21hmnTs2iaHECjKB+rI4lILeHl5cHpo+M4bWRjfpq5m1ff3MS27UVAxVB6p9OF3W6rtvNnzs7EO8ib6A7R1XYOEandVGCKSK3iYfPAO8jb6hi11k8zd/PAI7+Tl1/OdVc155ormlXri0URqZs8PAyGDophyMBoHI6KNSqnf5/FMy+s54pLm3LWGfH4+Lj3d4ejxMEn53xCdIdoLvr+Ire2LSJ1h4bIikit8f7w91nyyhKrY9RqJSVOYmN8+eT9Pky4rqWKSxE5LsMw8PKqeLkXG+NHbIwf/318DUPH/MKkyVsoLHLfjN2ePp70uL0HW37YQtbiLLe1KyJ1iwpMEakVDqYfZMv3W3CWOa2OUuvMW5DNl9O2AzBqeCwfvtublocWXBcRqarOHcN4/+2evPtGD5olB/LEM+u45sbFbj1H2nVp+Ib5Mvvh2W5tV0TqDg2RFZFaYfOMzQA0H6HZYw8rKnbw9HPrmPJxJm1bB3PayDhsNgObOi1F5BR06RxOl87hrFh5kJLSijf1CoscfPRJJuefnYC//z9/eegd6E33W7sz896Z7PptFzEdY9wVW0TqCPVgikitsOWHLYQkhRDWPMzqKLXCylUHOeuCOUz5OJNLxyUx+a2eNbLUgIg0HB1SQ+neNQKA2XP38tRz6xhy2s+8+c7mUxo623VCV7yDvJn32Dx3RRWROkQFpohYzuVwkTEzg+QhyVqgG8jaWcTFV8ynrMzFpNe6c9ftbd0+GYeIyJ+NGBrL1Mm9ad8ulKefX8/Q0b/w1rtbcLnMk27LJ9iHtOvTWPvpWvZv2l8NaUWkNlOBKSKWy1qcRWleKcmDk62OYqni4oqhao1j/fjfwx35cmpfunWJsDiViDQUKW1DePX5rnz4Ti/atg5m7ry9eHhUvOl3soVm95u74+Hlwfwn5ldHVBGpxVRgiojltvy4BQxIGphkdRTL/Dp7D0PH/MKy3w4AMGJYLIGBXhanEpGGKLV9KK+/1I2Xn+sKwO49xQwb8wuTp6RTWlq1idgCogPocFkHVr67kvyd+dUZV0RqGRWYImK59B/Tie0ci1+4n9VRalxZmZNHn1jD9bcsITLCm7BQu9WRREQA8PWtGJpfVOSkcawfjz65lmFjfuGDj7ZWqdDseUdP+t7bFy9/vVkm0pCowBQRS5XmlbJj4Q6ShzS84bEZmQVcMH4ekz/cykUXJPLRu71ISgywOpaIyBGSkwJ45/UeTHqtO03i/Pnv42sYdeavlcP6jyWsaRh97+mLT7BPDSUVkdpAy5SIiKUcJQ663dyNVme0sjpKjft55m527irmxWfSGNgv2uo4IiLH1a1LBF3Twlm4eD9r1uVU9nAuWLSPLp3D8PQ8er/Fmk/W4Ch2AKk1mFZErKICU0Qs5R/lz7Cnhlkdo8aUl7vI2FZI86aBXHZJU04/rQkR4d5WxxIRqRLDMOjRLYIe3SomINu0OY8rrltIUqI/N17TkmFDYionBjpsxaQVlOWX0bxte0AzhYvUd1UeImsYhs0wjN8Mw/imOgOJSMOStTgLZ3nVJo2o6/bsLeayaxZw6VXzycsvx8PDUHEpInVas6aBPP9UGp6eHtz+r+WcdcFsfpm1G9P8Y9bZse+N5dJfL9UyVCINxMlcg3kzsK66gohIw5O3I483u73J4hcWWx2l2i1aso+zL5zDug153HtXCkGaIVZE6gHDMBg8IJrPP+zL4//tSHGJkzv/8xu5eeWV+/hF+OFh88BZXoZpuixMKyI1oUpDZA3DiANGAf8FbqvWRCLSYPiG+XLuZ+cS0znG6ijVxjRN3np3C8++uJ7E+AAmvd6ZZsmBVscSEXErm81g9IjGDBscw6bN+YQE2zFNk0ceW82oEY1JDIC5H7xJmH040N7quCJSjap6DeazwJ2AXhWJNBAb3oQldwMnt7b2SfICWld57/J8CGlTfWmqy/oNeQwdFMPD96Xi769L30Wk/vLy8qBN62AAdu4q5odfdvPhJ5n06RlBorcfBwvmYZopGi4rUo+d8JWOYRijgb2maS4zDKP/cfa7GrgaID4+3l35RMQi+5aCowhaXlE97ZumybaVC4lMbIlfSFiVj4sZVD153G1HVhGmadIkzp//ezAVLy8PvaASkQalcawf3389gClTM3jznS1sCwmke24Gy6eupfP5ba2OJyLVpCpvpfcCxhiGMRLwAYIMw3jfNM2L/ryTaZqvA68DpKWlVWufh4jUDHsQ9Hihetre8/tefkz9gVZX+NJhfNULzLpg0ZJ93HrXMpITA5n8Vg/sdpvVkURELOHn68mV45tx3lkJPHL+Zop37mLFCwvpfH5bSkudeHvr96NIfXPCSX5M0/yXaZpxpmkmAucDv/y1uBQROVlbftwCQPKQZIuTuI9pmkyZmsGV1y8iLNSb/z6Qql5LEREgMNCLMfGtaeI9gB3zd7D5l62cdvYs7n/4d3btLrY6noi40cnMIisi4jbpP6YT0TqCoMZBVkdxi7JyFw88sopH/reavr2i+OjdXiTE+1sdS0SkVgny7YRfhB/zH59P395RfDFtOyPOmMmjT6xh3/5Sq+OJiBucVIFpmuavpmmOrq4wItIwOEodZM7OrFe9l06Hydr1uVx9eTNeeDqNgAAtQyIi8lcehhfdbu7G1u83c+XwCL77cgCjRzRmyscZDDvtF9K3FlgdUUROkXowRaTGZS3KwlHsIGlgktVRTln61gIKixz4+tp4/+2e3HJjKzw8NCxWRORYutzQBXugnXmPzaNxrB+P3J/KtE/7celFySQlVoz8WLx0H4WFDouTisg/oQJTRGrc1plbwYCEvglWRzkl8xdlc/6lc/m/x9cAaLIKEZEq8A31pcv1XcjfmY+z3AlAYkIAN13fEsMwKCx0cP0tSxhy2s+89e4WioudFicWkZOhAlNEalzGzAxiOsbgG+prdZR/7NMvtnHthMXERvtywzUtrI4jIlKnDHh4AONnjcfm9fc35vz9PZn0Wg/atQ7hqefWMXTML0z+cCulpSo0ReoCFZgiUqPKi8vZsWAHiQMSrY7yj7hcJk+/sI77Hv6d7l0ieP/tnsTG1N1CWUTECocLy4I9BRRmF/5te0rbEF5/qRuT3+pJs6QAHn1iDekZuj5TpC5QgSkiNerApgN4+XvV2QJz/4FSvvh6B+edncDLz3XRZD4iIv9QaV4pLzR/gdmPzD7mPp07hjHp9R58ObUvrVsGA/D0C+v47MttOByumooqIifB0+oAItKwNGrfiInZE8G0OsnJycktIyjQi8gIHz7/sA8R4d5a41JE5BR4B3kz/LnhxPeOP+G+LZpXLGlVVu5i8ZL9vDlpC2++s4Xrr27OyGGNsdn0+1iktlAPpojUOA+bBx6edefXT8a2As67eC4vvLIBgMgIHxWXIiJu0PGyjoQ3D6/y/nYvDz58txcvPJ2Gj7cHd92zgjPOm8WatTnVF1JETkrdeYUnInVeWWEZr6S8wvov11sdpcpWrcnhosvmk19QTv++jayOIyJS72Svy+azCz6jJLekSvsbhsGg/tF89mFfnv5fJ7ztNiIjfYCK0SamWceGyIjUMyowRaTGFO0rIjg+GJ8QH6ujVMmceXsZf/UCfH1tTJnUi9SUUKsjiYjUO44SB6s/Ws2Sl5ec1HEeHgbDh8TyyQe9iYr0wTRNbrp9KedfMpc58/aq0BSxiApMEakxIQkhXPjthST2T7Q6ygkdPFjGLXcuI76JP1Mm9SIxIcDqSCIi9VJMxxiajWjGwmcWUl5UftLH//mShdNHx7H/QBnXTFjMxVfMZ9GSfe6MKiJVoAJTRGpMVYc/1QahoXZeeDqN997oUTn0SkREqkeff/ehKLuI5W8u/8dtGIbBWWfEM/3LAdz37xSydhZz2TUL+frbHW5MKiInogJTRGpEaV4pT0Q8waLnF1kd5ZhcLpP/PbWGb77LAqBnt0gCA7UMiYhIdYvvHU9C3wTmPzEfZ5nzlNqye3lw/tkJzPhqAPfc1Y7BA6MBmL8om6XL97sjrogchwpMEakRmXMycTlcRLWLsjrKUZWVu7jzP7/x7gdbWbc+1+o4IiINTu9/9yZvRx4r3l3hlva8vW1ceF4ifr4Vq/K98vomLrlyAZddvYDFSzV0VqS6qMAUkRqx9Zet2LxtxPWIszrK3xQXO5lw2xKmf7+T229qxR23tLY6kohIg9N0aFMad23MnEfmnHIv5tG8/mI37r69DVsyChh/9UIuuXI+K1YedPt5RBo6FZgiUiMyZmbQpEcTvHxr15DTsnIXV9+4iLnzs3no3vZcMb6Z1rgUEbGAYRj0f7A/udty+W3Sb25v39fXxiXjkvnh64H8+862bNteyM7dRQA4HC7NOiviJiowRaTaFR8oZveK3SQOSLQ6yt/YvTzomhbOk//XibPHxlsdR0SkQWs6rClx3eNY9Oyiaiv4fHxsXHR+Et9/PZBhg2MBePu9dC4cP4/ZWt5E5JR5Wh1AROq/zNmZYFKrCsw9e4s5mFNOqxZBTLiupdVxRESEil7MMW+PwS/cr9pHk3h72ypvRzfyYW92KddOWExK22Cuu6oF/fpEaUSLyD+gHkwRqXZbZ27F09eTuG614/rLzG2FXHT5fG6+YykOh8vqOCIi8ieRrSPxj/LHNE1czpr5HT1mVBzffTWAh+5tz8Gccq6/ZQn/98SaGjm3SH2jAlNEql3GzAzie8djs9tOvHM127gpj4uvnE9hkYOnH+uEp6d+DYqI1DYluSW81eMtlry8pMbOaffy4Oyx8Xz7eX/++0Aqo4c3BmDnrmI++3IbZeV6Q1KkKvTKSkSqVWF2IXtX7a0Vw2NXrjrIJVctwMOA997sSds2IVZHEhGRo/AO8ia8eTj+kf41fm4vLw/GjmlCavtQAL75Lot7H/qd4WN+4b0P0ikqdtR4JpG6RAWmiFQru7+dcz45h7bntLU6Cu+8n05wkBfvv92LZsmBVscREZFjMAyDsZPH0u78dlZH4arLmvL6i12Ja+zHY0+tZfCon3lj0marY4nUWprkR0SqlZefF23ObmNpBtM0MQyDRx/sQH5BOZERPpbmERGRqnGUOlj+xnLaX9QenxBrfncbhkHvnlH07hnFbysP8OakLWRkFlZuz8kpIyTEbkk2kdpIPZgiUq1WvLuC7HXZlp1//qJsLrlyAXn55fj42FRciojUIfvW7+O7Cd8x939zrY4CQMfUMF56tgsP3dsegDVrc+g37Cfuf/h3MrYVWJxOpHZQgSki1aY0r5SvL/+aNVOtmYlvzry9XH/zEgoKyjVbrIhIHRSdGk3KuBQWPbuIvB15VsepZLNVLF8SFubNmac34atvdzBq7K/ceNsSli7fr7U0pUFTgSki1cY7yJtbt99K2nVpNX7umbP2cONtS2maHMCk13oQFupd4xlEROTUDXxkIKbL5NcHfrU6yt/ERPty/79T+OnbQVx7ZXOW/XaA629ZQlGx0+poIpZRgSki1SowNpCARgE1es5Zc/Zw88SltGoRyNuvdte1MSIidVhIYghp16exYtIKstdad8nF8USEezPhupb8Mn0wr7/QDX8/T0zT5NqbFvPu++kUFJRbHVGkxqjAFJFq8/O/f2btp2tr/LzNmgYyeEA0b77cneAgFZciInVd3//0xR5g56e7f7I6ynH5+trokFqxvElOTjlFRQ7+9/RaBo78mSeeWcuu3cUWJxSpfiowRaRalBeVM/+J+exctrPGzvnbygO4XCaNY/14+n+dCQz0qrFzi4hI9fGL8KPX3b3YOG0jW2dutTpOlYSG2nnvzZ5MndybPj2jeG/KVoaN+YXlKw5YHU2kWqnAFJFqsWPRDlwOFwl9E2rkfF9/s4OLLp/P+x/WjRceIiJycrrf0p2QxBBm3DQDVx2auC2lbQhPPdaJGV8N4PJLmtKubQhQ8Xfry2nbKS3V9ZpSv6jAFJFqkTk7E8PDoEnPJtV+rm++y+LfD6yga1o455xZMwWtiIjULC9fL4Y+NZS9q/ey7ot1Vsc5aY1j/bjlxlbYvSpefk+bnsW/71/JwBE/8+yL69m9R8NnpX5QgSki1WLb7G00Sm2ET3D1rjv53fc7ufve30jrFM7Lz3bF19dWrecTERHrtBrbiot/upg2Z7exOsope/2lrrz5Sjc6dgjljUmbGTL6F96YtNnqWCKnzNPqACJS/zjLnGxfsJ3OV3eu1vMcPFjGvQ+vrFz4WsWliEj9ZhgGyYOSASjNL8U7sO4uQWUYBj27RdKzWyRZO4v48OMM2rUJAWDnrmLmzt/LqOGN8ffXy3WpW9SDKSJut3PZThzFjmq//jI01M6bL3Xn1ee74u+nP8AiIg1F+s/pPBP3DLuW77I6ils0jvXjjlva0KNbBADf/7STB/67in7DfuT+R35n7bpcixOKVJ1ekYmI22XOzgQgvk98tbT/y6zd5OSUc+bpTSqngxcRkYYjtnMsLce0xC/Cz+oo1WL8Rcl0bB/Gx59nMm36Dj75fBsd2ocy+a2e2GyG1fFEjksFpoi43bbZ24hoHYF/pL/b2/519h5umbiMtq2DGTOqMZ6eGoghItLQ+IT4MHbyWKtjVBvDMOiQGkqH1FDuvqMt077dQfa+0sri8q13NtO9awRtDw2pFalN9MpMRNzOHmCn+cjmbm93zry93DxxGS2bB/Hai91UXIqINHC523L56IyPyMnMsTpKtQkK9GLc+UnccmMrALL3lfDS6xs556K5nDNuDh99kkFuXpnFKUX+oFdnIuJ2Z089m6FPDnVrm/MWZDPh9qU0axrAGy93IyjQy63ti4hI3WOaJuk/pTP9+umYpml1nBoRGeHDr98P4Z672uFwuHjo0dX0G/oT8xdmWx1NBFCBKSJu5nJWz+LX6zbkkpQYwFsvdyck2F4t5xARkbolJCGEgY8MZNP0Taz+cLXVcWpMUKAXF56XyOcf9eXTKX0476wE2rUNASrWhn7quXVsTs+3NqQ0WLoGU0Tc6rPzP8NR4uCCaRe4pb3ychdeXh5cOb4ZF52fhI+PliIREZE/dJ3QlTVT1zD9hukk9E0gKC7I6kg1xjAM2rQKpk2r4MrHNmzM453303nr3S2ktAvhjNFxjBgWqzdnpcaoB1NE3Cq+TzwJ/dyzPMnadbmMOvNX1qzNAVBxKSIif+Nh82Ds5LE4y5x8ddlXmK6GMVT2WG6/uTUzZwzmrtvaUFri5OHHVnPLxGWV28vLq2ekkchh6sEUEbfqdlM3t7SzaXMeV96wED9fT8LC6u5C2iIiUv3CmoUx7JlhfHPNNyx+aTHdJrjnb1FdFRHuzaUXJXPJuCTWbcijtNQJQE5OGcNPn0mf3pGMGtaYnj0isXupv0ncSwWmiLhN3o487IF2fIJ9TqmdjG0FXHH9Irw8PXj71e7ERPu6KaGIiNRXna7qxIavN/DTnT+RPCiZyDaRVkey3OEhtIeVljkZNiSGH37exbff7SQ42Iuhg2K46rJmxDWun2uKSs3TWxYi4jY/3f0TL7d9+ZRm8tuzt5jLr12I02Hy1qvdiW/i/rU0RUSk/jEMgzFvjsEeaOeTcz6hvKjc6ki1TqMoXx68pz2zfhjCy892oXePSL75LgvXoWHFq9fmsHjpPpzOhj3MWE6NejBFxC1M0yRzVibxveMxDOMftxMaYqdbWgQXX5hEs+RANyYUEZH6LiA6gLOmnEXW4iw8ffQy91jsXh7079uI/n0bUVLirJzj4J3J6Uz/fidhoXYG9Y9myKBounWJwEvDaOUk6CdPRNwiNzOXvB15xPeJ/0fHHzxYhmFASIidRx/q4N5wIiLSYCQPTiZ5cDIAjlIHnt56uXs8f55A76H72jNkUDQ//rybb7/P4pMvttG+XQgfvdcbAJfLxMPjn7+JLA2DfuJExC0yZ2cCkND35GeQzcsv58obFuLp6cGH7/TSHy8RETllOxbu4OOzP+b8L88nNi3W6jh1gp+vJ8MGxzJscCylpU7mLczG4agYLltW7mLYab+Q0jaE/n0b0a9PFOGahE+OQgWmiLhF5uxMfEJ9iGobdVLHFRY5uHbCYjZtzufFZ7qouBQREbcIbRpKo/aN8A3TRHH/hLe3jYH9oivvFxU66Ncnillz9vLTzN0YBrRvF8LNN7Sie9cIC5NKbaMCU0TcInN2Jgl9EjBOokAsKXFy4y1LWLUmh6cf60TfXidXnIqIiByLf6Q/46aPAyrmCXCWOnVd5ikICbHzwH/aY5om6zbk8evsPcyaswe7veL6zN9WHuCb6Vn079uILp3DtXZ1A6afMhE5Zfm78jmw6QCdr+l8Usf97+m1LF62n0cf6sCQQTHVlE5ERBoy0zT54uIvKMsv49zPz8XDpglrTsXhpU/atArm+qtbVD6+Jb2AL6ft4MNPMvH29iCtYzi9ekZy/tkJKjYbGP2Eicgp2zZnG3Dy119ee2UzHv9vR8aMiquOWCIiIhiGQeNujdnw9Qam3zD9lJbSkmM7e2w8834ZyqsvdOW8sxLYtaeY197aVDkD7bTpO/h2RhYHD5ZZnFSqm3owReSUZc7OxMvfi5iOJ+6FNE2TadOzGDW8MY2ifBk1vHENJBQRkYas24Ru5O/MZ95j87AH2hny+JBTWlJLjs7Hx0bfXlGVl7zk5pVhs1V8nd//cCur1uRiGNCmVTA9ukfQr3cjOncMszKyVAMVmCJyyvr8uw+tz2yNh+eJB0U8++IG3pi0GcOA00aq51JERGrGoP8bRGleKQueXIBPsA997+lrdaR6LzjIXnl7yju9WbMuh/kL9zF3fjbvTE4nO7uUzh3DME2T197aTPt2IXRIDcXPVyVKXaZ/PRE5ZYGxgQTGBp5wv0mTt/DGpM2cc2Y8o0eo51JERGqOYRiMfGEkZfllzLx3JhgVb5CqJ7Nm2GwG7duF0r5dKNde2ZzCIgdFhQ4Adu0u4aXXNuJ0mnh6GqS0DaFL53BGj2xMs+QTv76Q2kUFpoickqwlWexYuIOOl3fE7m8/5n6ff7WdJ55Zx7AhMdz3rxT9QRcRkRpneBic/vbpAMy8ZyaluaUM/t9g/U2ygL+fJ/5+FaVIbIwvC2cN47cVB1i8dD+Ll+7nrXe30KZ1MM2SA9m4KY+PP99Gx9RQOqaGERPto3+zWkwFpoickk3TNzH30bl0vurYM8jm5JTx2FNr6NU9kv890rHyegwREZGa5uHpwRnvnIE90M78J+bjE+pDn3/1sTpWg+fv50nvnlH07llx/WZhoQNPz4rXC1u2FvDF19uZMjUDgEZRPnRIDeVfd7QlKtLHqshyDCowReSU9L+/P2nXph13bbGQEDvvvNaDxER/7F6avFpERKxleBiMfHEkYU3DSBmXYnUcOQp//z9eV4wYGsuQgdFs3JTPbysPsOL3g/y+OoeAgIp9Xn1zE3Pn76VdmxDatgmmXZsQEuL98TiJtbnFfVRgisgpC2gUcNTHV6/NYe26XM49K4E2rYNrOJWIiMixGYZBj9t6AOByuPju5u/ocVsPwppqVtPayNPTgzatg2nTOphx5ycdsS0k2AuAjz/PpGSKC6gYdvvjNwMxDIPVa3MICbbTONZXQ2trgApMEfnHMudksvTlpQx5YghBcUFHbEvfWsA1Ny7Gz8/G6JGNNSOciIjUWvs37WfNR2to3LWxCsw66PxzEjn/nEQcDhfpWwtYvTaXwsLyymLyngdWsnFzPiEhXrRpFUzL5kF07RJOv96NLE5eP+kVn4j8Y1u+38KaT9Yw+vXRRzy+c1cxV16/EA+bwZsvd1dxKSIitVpk60hu3HgjfuF+AGxfsJ3YzrHY7DaLk8nJ8PT0oEXzIFo0P/JN7/97sAOr1uSwem0O69bn8cHUDLL3ldKvdyNM0+SyaxYSE+1LyxZBtGweRMsWgYSFelv0LOo+veoTkX8sc3YmMZ1i8A7845fwgYOlXHXDQgoLHbz7Zk8S4v0tTCgiIlI1h4vLgt0FvDfoPSLbRHL6pNNplKJerrru8NDa80gAwOFwUXBoiZSSEhd2Lw/mL8zmq292VB5z/dXNufHalhQXO/n62x00TQ6gaVIgoaHHnjFfKqjAFJF/xFHiIGtRFl0ndD3i8bnzstm9u4TXX+pGqxZBxzhaRESkdgqIDuCsKWcx7appvN7pdXr/qzd9/tMHT2+9bK4vPD09CAmuKBR9fW28/lI3APYfKGXDpjw2bMwjNSUUgPSt+Tz4f6sqjw0LtZOcFMAN17SgW5cIiood5OWV0yhKS6ccpp8UEflHshZn4SxzktA34YjHx4yOo1vXcBpF+VqUTERE5NS0OqMV8b3j+f7W75n98GzWfLyGoU8NpfnI5ioi6rHwMG96doukZ7fIysdatwrmx28Gkr61gC1bC0jfms+W9ILKJdcWLt7HjbcuxdfXRnwTfxLi/Ylv4scF5yQSE+1LebkLT0+jQX3fqMAUkX8kc3YmAPG943E4XNzz4ErOPiOetM4qLkVEpO7zi/Bj7OSxpIxL4bubvuPD0R+SNCiJoU8OJbpDtNXxpIZ4eBg0jvWjcawffXpF/W17y+ZB3HNXOzK3FZK5vZCNm/L45dfdnD4qDoBPPt/GU8+tI76J36His+Jj5PDYejtHRf18ViJS7TJnZxKVEoV3iA/3PLiSr7/Non27UNI6h1sdTURExG2aDW/G9auvZ+lrS5n14Cxe6/QaI18cSZfru1gdTWqBxrF+XHhe4hGPORyuyjU4WzQP5Oyx8WzbXsjGzfn8MmsPDofJiGGxADz74nqmTc+icawvcY39iI3xpXmzQIYNjq3pp+I2KjBF5KQ5y51sn7+dDpd24Iln1/HltB3ccE2Lv/2CFRERqQ9sdhvdJnQj9eJU5j0xj8QBiQBkr8umYFcBiQMSG9QQSDk+T0+PyttpncJJ6/THm+8Oh4s9e0vw96sow1q2CGL3nmJ2ZBWzcPE+9uwtIaVtiApMEWlYdv+2m/LCcjY67bz7fjrjzk/k+qubWx1LRESkWvmE+DDov4Mq789/Yj7rPl/HbVm3Yfe343K68LB5HKcFaeg8PT1oHOtXeX/E0FhGDP2jmCwrc5KX77AimtuowBSRk+ZyuEgcmMgaux+jR4Tzrzva6p1bERFpcEa+NJK0a9Ow+9sxTZPXO79OcHwwbc9rS8sxLY9YxkukKux2GxHhdXv9VRWYInLSYrvFcenPl+JymTidZuV1BiIiIg2Jl68Xjbs2BsBR7CBpUBJrP17Lxmkb8fTxJHlIMs1GNKPZsGaEJodanFakZqjAFJGTMmfuHp55ajUvv9qT6Ea+Ki5FREQALz8vhj01jKFPDGX7/O2snrqaTd9sYuO0jQCENQ8jaVASademEZ2qWWil/lKBKSJVtmLlQe69YS79V61h9wUxRJ/bxupIIiIitYrhYRDfO5743vGYz5sc2HSAzTM2s3nGZlZ9sIrWY1sDsG3uNhY8tYDhzw8nuEkw5cXleHp7YuiNW6njTlhgGobhA8wGvA/t/6lpmvdXdzARqV02bc7j2psXExXlS5fbepDcM87qSCIiIrWaYRiEtwgnvEU43W7qhsvpArNiW2F2Idlrs7EH2AGY+9hcFjy1gMjWkYQ1CyO0aSihTUMJa1pxOzAmUMWn1AlV6cEsBQaapllgGIYXMNcwjO9M01xYzdlEpJbYkVXEldcvwsfbg1cm9Tli9jMRERGpmj/PMNt6bOvK3kyAhL4JlOaWkr02m6zFWaz5ZA2m06zcbtgMAqIDuHnrzdi8bKz5ZA25mbn0vKMnAHtW7cHlcOEb6otvmC/2QLsm4BNLnLDANE3TBAoO3fU69GEe+wgRqW98fGw0TQ7k7jvaULZhD2XBjbH7262OJSIiUm8kD0omeVBy5X1nuZPcbbkc3HKQA1sOkJ+VT/HBYmxeFTOMbp6xme3ztlcWmDNunkHGzIzK4w2bgW+oL/YAO/YAO17+XoQ3D2fs5LEALHx2IYbNoNuEbgD89vZvlBWUYfO2YbPb8PT2xGa3HXHfL8KPqHZRAOzftB8vPy+CGgcBkJOZg2EYGDYDD5tH5WcPzyNve3hqGZf6rkrXYBqGYQOWAc2Al0zTXFStqUSkVig1yikvtxER7s3br3Zn34Z9vDTwPUa/NprOV3e2Op6IiNQxpfvgEy2bXEU2IOzQR9PKR//4+p1OlOmqvG+UDCEuOg+nqxinsxinqxhXWTGu/eUUZ5dR6CqjYO0fx2/bmY5h2Nj2fEWBuSljNuWOnOMm8vdNIqHxJYf2fx8/33gaN6ooWNdteRHTdB73+ODA9pX7r9/yKKHBXWgUMRins5iNW5869EQq//enz2BgEBbSnajwATidJWzKfI6o8EGEBadRWraPjB2T/na8wZ97cA0iw/oTGtyJ0rL9bNs5mejIkQT6t6CoeBtZez4/bnbgL/t/QVz02fj6NCavYB179v1wwuPjos/B1yf20P4/ktj4Ury8gjmYu5R9OfMr9/OxN2LQveeRetcJm6yVqlRgmhXfLR0MwwgBvjAMo51pmqv/vI9hGFcDVwPEx8e7O6eI1LBSp5MPwxaz8t/ePPN4ZwzDIHN2JgAJ/RIsTiciInVNs4uhPB+Ng3OrP/cGxh76qJpILjziflin63A5HbhcTkyns+Kzy4nL5cDlrLht87ITGHbozI1H4OXtR1BExX1nxGmYphPTNMF0YbpcmKaJaboqH/MLjiLi0BQOhT49CIqIIywWnA5Piny7V2wwzUPfIuafvldMTBNCoxsT3hicDhsFXu2JaBJBSCMoLfKm2LvNocPNymMOH3+4xciEEEKjobTIiwLPJCKa+RMUAYU5PhSvSzzh1yyi+Z/3TyCirQ9+QWDf60/55hPXPxHt7JX7l21uQkQnT+w+YOwIxLntj7ktfPxDCGhywuZqLeOPf4QqHmAY9wFFpmk+eax90tLSzKVLl55qNhGxSFm5i4uGLmFNTjZPP9GJYYMr/mB9cfEXbPlhC7fvvl3XdYiIiIg0UIZhLDNNM+1o2044CNowjMhDPZcYhuELDAHWuzWhiNQaLpfJf+5fwercbEbkplQWlwCZszNJ6Jug4lJEREREjqoqV9nGADMNw/gdWAL8aJrmN9UbS0Ss8tRz6/h2xk7OjGtFp6I/hsLmZOaQuy2X+L4aAi8iIiIiR1eVWWR/BzrWQBYRqQVGDIslIMCT9suakfmnxw9ff5nYL9GSXCIiIiJS+2meYBEBYO36XADatQnhuqta/G175qxMfEJ8KqcnFxERERH5KxWYIsJX3+zg7AvnMP37rGPukzk7k/g+8Rgeuv5SRERERI5OBaZIA/fLrN3c8+BKuneNYPCA6KPuU7C7gAObDmh5EhERERE5riqtgyki9dPipfu47a7ltGkVxAtPpWG32466n38jf27achP2AHsNJxQRERGRukQFpkgDlZNTxoTblhLX2I/XXuiGv/+xfx0YhkFocmgNphMRERGRukgFpkgDFRJi58F729OhfSghIcfvmfzxrh9J7J9I8xHNayidiIiIiNRFugZTpIHZtbuYRUv2ATB8SCzRjXyPu395cTm/T/6dXct31UQ8EREREanD1IMp0oAcPFjGVdcvIie3jB++GYif74l/BXj5enFb1m24yl01kFBERERE6jIVmCINRGGhg2smLCJrVxFvvNStSsXlYYZhYDvGBEAiIiIiIodpiKxIA1Ba6uTGW5ewbkMez/yvM2mdwqt87NQzpzL3f3OrMZ2IiIiI1BcqMEUagM++3M6ipfv5vwdT6d+3UZWPc7pK2fDVBsoLy6sxnYiIiIjUFxoiK9IAnH9OAi2aB55UzyVASfl2TJdJQr+EakomIiIiIvWJejBF6inTNHnznc1s31GIh4dx0sUlQHFZJh6eHsR1j6uGhCIiIiJS36jAFKmnXn97M08/v54vp+34x20Ul2cSmxaL3f/462SKiIiIiIAKTJF66aNPM3nupQ2cNrIxN1zT4h+14XSUU1KeRXzfeDenExEREZH6SgWmSD3z9bc7ePjRVfTvE8Uj96fi4WH8o3Zy92YBLhL66vpLEREREakaFZgi9YjLZTL100y6poXzzOOd8fL65z/iOTszAIjvpR5MEREREakazSIrUo94eBi8/mI3MMDb23ZKbR3clYm3ZzQ+IT5uSiciIiIi9Z16MEXqgWW/HeCGW5dQVOzA398Tf79Tf+8oNDaRIN+ObkgnIiIiIg2FejBF6rg1a3O47ubFREZ4U1zsxM/XPT/WyZ37kbndLU2JiIiISAOhHkyROmzTlnyuunERQYFevPVKd8LDvN3Sbk5mDk5HuVvaEhEREZGGQz2YInXUtu2FXHndQrw8PXj71e5EN/J1W9tfXPwFuRtdRHGF29oUERERkfpPPZgidVRpqZOQEDtvvtKd+Cb+bm277z19SerYx61tioiIiEj9pwJTpI4pLHJgmibNmwXxxUd9ad400O3naDq0KREJLdzeroiIiIjUbyowReqQ3LwyLrp8Ps+/vAGoWJbE3bbO3Mr2+ZrdR0REREROngpMkTqisNDBtRMWk761gLRO4dV2npn3zOT7276vtvZFREREpP5SgSlSBxQXO7nx1iWsXpvLU492pFePyGo5T1lBGVmLs0gckFgt7YuIiIhI/aYCU6SWM02TW+5cyuJl+/m/B1MZPDCm2s61bd42XA4XSQOSqu0cIiIiIlJ/aZkSkVrOMAzGjmnC8CGxnDYyrlrPlfFrBh5eHjTp1YTdn1frqURERESkHlKBKVJLlZe7WL02h46pYQwfElsj58yYmUHjro2x+9tr5HwiIiIiUr9oiKxILeRwuJj4n9+49KoFbN9RWCPnLM0vZefSnST2T6yR84mIiIhI/aMCU6SWcTpN/nXfCn74aRe339SaJnH+NXLebXO2YTpNTfAjIiIiIv+YCkyRWsTlMrnnwZV8O2Mnt93UiksvSq6xc2+duRWb3UaTnk1q7JwiIiIiUr+owBSpRb7/cRdffbODG69twZXjm9Xouff+vpe47nF4+XrV6HlFREREpP7QJD8itcjwoTEEBHSld8/qWefyeMbNGEfJwZIaP6+IiIiI1B/qwRSxmGmavPz6RtK3FmAYBn16RWEYRo3nMAwD3zDfGj+viIiIiNQfKjBFLGSaJo8/s44XX93ItzOyLMsx66FZfHfzd5adX0RERETqBw2RFbGIaZo8/vRa3v1gK+POT+TGa1tYlqX4YDHF+4stO7+IiIiI1A8qMEUsYJomjz25lskfbuXiC5K4+442lgyLPWz4M8MtO7eIiIiI1B8aIitigbIyF2vX53LJhdYXl84yp2XnFhEREZH6RT2YIjXINE1KS134+Nh48+Vu2O0elhaXAF+O/5L8nfmM/3W8pTlEREREpO5TD6ZIDXG5TB5+bDVXXr+I0lIn3t42y4tL02WS/lM6wU2CLc0hIiIiIvWDCkyRGnC4uPzok0w6dQjFbq8dP3p7V++lKLuIpMFJVkcRERERkXpAQ2RFqpnLZfLgf1fxyRfbuOqyZtxyY0vLey4PS/8pHYDkQckWJxERERGR+kAFpkg1e/al9XzyxTauuaIZN11fe4pLgPQf04loFUFQXJDVUURERESkHlCBKVLNzhzThOAgO5dfklyriktHqYPM2Zl0uLyD1VFEREREpJ6oHReCidQzZWVOPv1iG6ZpkpgQwBWXNq1VxSXAjoU7KC8qp+mQplZHEREREZF6Qj2YIm5WXOzk5juWMndBNslJAXTqEGZ1pKNK/ykdw2aQ0C/B6igiIiIiUk+owBRxo8JCB9fdvJjlKw7wyP2ptba4BEj/IZ3GXRvjE+xjdRQRERERqSdUYIq4SW5eGVffuJh163N54r+dGDEs1upIx9X/wf5WRxARERGRekYFpoibrFufx5b0fJ59ojMD+0VbHeeEmg1vZnUEEREREalnVGCKnKKyMid2u43uXSP4cdogQkPtVkc6oXWfryM4IZjYzrW7l1VERERE6hbNIityCjK3FTLmnFnM+HEnQJ0oLk3TZPqN01n49EKro4iIiIhIPaMeTJF/aN2GXK6+cTFOp4vGsX5Wx6kywzC4btV1lOWXWR1FREREROoZFZgi/8CSZfu54dYlBAR48u7rvUhOCrA60knxC/fDL7zuFMUiIiIiUjdoiKzIScrYVsBVNywiKsKHD96ue8XljFtnsOrDVVbHEBEREZF6SAWmyElKaOLPxFtaM/mtnsRE+1od56QUHyxm8fOLyV6TbXUUEREREamHVGCKVNHkKems35iHYRiMOz+pTkzo81fpP6VjukyajdASJSIiIiLifiowRU7ANE2efHYtjz65lk+/2GZ1nFOyecZmfEJ8iOsWZ3UUEREREamHNMmPyHGUl7u4/5Hf+XLaDi44J4F/3dHW6kj/mGmabJmxheQhyXh46r0lEREREXE/FZgix1BY5ODmO5Yyf+E+brimBddf3RzDMKyO9Y/tXrGb/J35Gh4rIiIiItVGBabIMXh5eeDp6cF/H0hl7JgmVsc5ZRu+3gAGtBjVwuooIiIiIlJPqcAU+YtNW/IJD7MTFurNK891qdO9ln+2cdpG4rrH4R/lb3UUEREREamndCGWyJ8sWrKPiy6bx/2P/A5Qb4rLvKw8di3bRYvT1HspIiIiItVHBabIId98l8VVNywiKsqHf93Rzuo4blVWUEarM1rR6vRWVkcRERERkXpMQ2SlwTNNkzff2cIzL6ynS+cwnn8qjeCgurfG5fFEtIzgvC/OszqGiIiIiNRz6sGUBq+oyMlnX25j1PBY3nipW70rLh0lDnK351odQ0REREQaABWY0mDl5JRRVubE39+TDyb14vH/dsRut1kdy+02f7+ZZ+OfZfuC7VZHEREREZF6TgWmNEib0/M59+K5/PfxNQCEh3nXmwl9/iqmUwxDnhxCbFqs1VFEREREpJ5TgSkNztz5e7lw/DyKS5yceXrdX9/yRIKbBNPz9p7YvOpf76yIiIiI1C4nLDANw2hiGMZMwzDWGoaxxjCMm2simEh1+OCjrVx702Iax/ox9b3epKaEWh2pWu3bsI/VH62mvLjc6igiIiIi0gBUpQfTAdxummYboDtwg2EYbao3loj7ZWeX8OxLG+jXpxHvv92T2BhfqyNVu9/e/o0vLv4CR4nD6igiIiIi0gCccJkS0zR3AbsO3c43DGMd0BhYW83ZRNyioKAcf39PIiN9+PDdXiQlBGCz1c/rLf/MNE3WfbqO5MHJ+IbW/2JaRERERKx3UtdgGoaRCHQEFlVLGhE3W7sul9PPnc0HUzMAaJYc2CCKS4DdK3ZzMP0grc9ubXUUEREREWkgqlxgGoYRAHwG3GKaZt5Rtl9tGMZSwzCWZmdnuzOjyD/y9bc7GHf5PExMOrav39daHs26z9Zh2Axand7K6igiIiIi0kBUqcA0DMOLiuLyA9M0Pz/aPqZpvm6aZpppmmmRkZHuzChyUhwOF489uYa7711Bakoon37Qh7ZtQqyOVaNM02Ttp2tJ7J+IX4Sf1XFEREREpIGoyiyyBvAWsM40zaerP5LIqfl9dQ6TP9zKxRck8cZL3QgL9bY6Uo3LXpvN/g37aX2WhseKiIiISM054SQ/QC/gYmCVYRgrDj32b9M0p1dbKpF/YP+BUsLDvOnUIYwvp/alebMgqyNZZu2na8GA1mNVYIqIiIhIzTlhD6ZpmnNN0zRM02xvmmaHQx8qLqXWME2TDz7aypDRP7Nk2X6ABl1cAqz7dB0JfRIIiA6wOoqIiIiINCBV6cEUqbUKCx3c9/DvfPfDTvr2jqJ500CrI1muNL8UL38vzR4rIiIiIjVOBabUWRs25nHrXcvYvqOI225qxeWXNMXDo2EsQXI83oHeXLnwSkzTtDqKiIiIiDQwKjClzlqweB+FhQ4mvdqdtM7hVsepFUzTpDSvFJ9gHyrm5xIRERERqTlVXgdTpDYoLnayZm0OAJeOS+KrT/qpuPyTXct38WTUk2z5YYvVUURERESkAVKBKXXGug25nDNuDlfesIiCgnIMwyAk2G51rFrFN8yXtOvSiO0Sa3UUEREREWmANERWaj3TNJk8ZStPPb+ekGAvnnqsEwEBXlbHqpVCk0IZ/uxwq2OIiIiISAOlAlNqtdJSJzfdsZQ587IZ0LcRj9yfSmioei2PZu+avRRlF5HQNwFDkx2JiIiIiAU0RFZqNW9vG42ifLj37na8+EyaisvjWPDUAj4c8yGOUofVUURERESkgVIPptQ6ZWVOnntpA2NPb0Kz5EAeujfV6ki1nqPEwbrP1tH6zNZ4+Wr4sIiIiIhYQwWm1Cpr1+Vy930r2Lwln/Bwb5olB1odqU7YMG0DpXmlpIxLsTqKiIiIiDRgKjClVigvd/HGpM28+uYmQkPsvPJ8F/r1bmR1rDrjt7d+I6hJEEkDk6yOIiIiIiINmK7BlFrhw48zePHVjQwbEsNXn/RTcXkScrfnsuWHLXS4rAMeNv1Ii4iIiIh11IMplnE6TXbvKaZxrB/nnZ1AQrw//fqosDxZK95ZASZ0GN/B6igiIiIi0sCpu0MskbGtgEuvWsD4qxdQXOzE29um4vIfMF0mKyatIGlgEqFJoVbHEREREZEGTgWm1KjD11qOPW82mzbnMeHalvj46Nvwn8r4NYOcrTl0vKKj1VFERERERDREVmrO/gOlXHn9IjZszGPooGj+c2c7IiN9rI5Vp5XklNAotRGtxrayOoqIiIiIiApMqX6maWIYBqEhdpomBXDD1c0ZPDDG6lj1QuszW9P6zNZWxxARERERATREVqrZ/EXZnDNuLnuzS/DwMHjy0U4qLt1k/8b9OMudVscQEREREamkAlOqRXZ2CXf+5zeuvG4RRcUODhwsszpSveJyunh/2Pt8dsFnVkcREREREamkIbLiVqZpMnnKVl54dSNlZS6uu6o5V1/eDG9vm9XR6hXDMBj50kjsgXaro4iIiIiIVFKBKW5lGAZr1+fSMTWU/9zZjoR4f6sj1UuGh0Hzkc2tjiEiIiIicgQNkZVTtm9/Kf++fwXrN+YB8NC97Xntha4qLqvJgc0H+OlfP1GYXWh1FBERERGRI6jAlH+srNzFu++nM3LsTL6dsZM1a3MAsNttGIZhbbh6bOFzC1nw1AJcDpfVUUREREREjqAhsvKPzJy1h/89vYZt24vo3TOSf09sS2JCgNWx6r2i/UWseHsFKRemEBgTaHUcEREREZEjqMCUf2T12hy8vDx4/cWu9O4ZZXWcBmPJy0soLyqn5x09rY4iIiIiIvI3KjClSvbsLea5lzYwaEA0g/pHc80VzbjuquZ4emqUdU0pLy5n8QuLaTaiGVHtVNSLiIiISO2jAlOOKy+/nEnvbeG9D7bicJq0bhkEVFxnKTVr5XsrKcouotedvayOIiIiIiJyVCow5Zg++3IbTzy7jry8ckYMjeXWCa2Ia+xndawGyeV0seCpBcSmxZLQL8HqOCIiIiIiR6UCU45QXu7CBOxeHhiGQWpKCDff0Io2rYKtjtagrZm6hgObDnDOJ+dohl4RERERqbV0AZ0A4HKZfPNdFqPP+pUPp2YAMHZMHK+90E3FpcVM02T2w7OJSomi9ZmtrY4jIiIiInJM6sFs4JxOkxk/7uTVNzexJb2Ali2CaN6sYvkL9ZTVDoZhcOaUMykvKsfw0L+JiIiIiNReKjAbuH/fv4Jp07No1jSQpx7txLAhMXioiKl1YjrGWB1BREREROSEVGA2MOXlLqZNz6JPr0giI3w4/5wEBg2IZvCAaBWWtdCqKavYPGMzI18aiXegt9VxRERERESOSwVmA1Fc7OSrb7bz1rtbyNpZzO03t+aKS5vSMTXM6mhyHAV7Cji45SB2f7vVUURERERETkgFZj1nmiavvbWZyVO2cjCnjPbtQrjnrnb07R1ldTSpgh639qDbTd107aWIiIiI1AkqMOup7H0lREb4YBgGm7fkk5oSwuWXNKVzpzBN3lMHFO0rImtJFs2GN8PDpsmeRURERKRuUIFZj5imycrfc3jng3R+nrmbzz/qS/OmgTz2cAc8PVWk1CWzHprFkpeWMGHzBEKTQq2OIyIiIiJSJSow64GyMiffztjJBx9lsHZ9LoEBnlx2cTJhoRXX7am4rFv2rd/H0leW0umqTiouRURERKROUYFZh5WXu/Dy8qC4xMkjj60mJsaX+/7VjtNGxeHvp3/ausg0Tb697lvsAXb6P9jf6jgiIiIiIidFVUgdY5omi5fuZ8rUDHbvLeGjd3sRHGTn0yl9SEzw1/WVddzv7/9Oxq8ZjHp1FAGNAqyOIyIiIiJyUlRg1hHZ+0r4ctoOPvtyG9u2FxEc7MU5Y+Mpd5jYvQySElWM1HXFB4v54fYfiOseR+erOlsdR0RERETkpKnArMWcThOHw4W3t40587J55oX1pHUK4/qrWzB0UAw+PjarI4ob/XT3TxQfKGbUj6O0LImIiIiI1EkqMGuhzG2FfP3tDj7/ajuXXZzMJeOSGTE0lo6poeqprKc2f7+Z5a8vp8cdPYhOjbY6joiIiIjIP6ICsxb56NNMvpq2nZWrcjAM6NUjkmbNAgHw9bWpuKzH5j02j8g2kQx8eKDVUURERERE/jEVmBYqLXWyanUOaZ3DAfj+x50UFTu5/aZWjBrRmOhGvhYnlJpywTcXULinEE8f/UiKiIiISN2lV7M1rLzcxaIl+5jx4y5+/HkXRcVOZs4YTES4Ny8+3QV/f/2TNCTb5m0jukM0dn879mS71XFERERERE6JqpkaNGfeXib+5zfy8srx9/dkyMBoRo9sTGhIRWGh4rJhKT5QzAcjPqDtuW0Z8+YYq+OIiIiIiJwyVTTVpKzMyfyF+/j+p10M7NeIIYNiSE4KoH+fKIYOjqFX90i8vTULbEPmG+bLeZ+fR2SbSKujiIiIiIi4hQpMNzJNk2nfZjFzzh7mLcimoMBBUKAX7doEA9A41o/HHu5ocUqxmmma7Fm5h+gO0SQPTrY6joiIiIiI26jAPAWmabI1o5CtmQUM6h+NYRi88c5mcvPKGT4khsEDY+jeNQK7l4fVUaUWmfXgLGY9NIvL511Okx5NrI4jIiIiIuI2KjBPUnGxk2W/7Wfu/Gxmzt7D9h1F+Pt7Mv+XoXh5efD2K90JD/fGw8OwOqrUQivfW8msB2fR4fIOxHWPszqOiIiIiIhbqcA8AdM02bApn+REf+x2G6+9tYnX396M3e5Bty7hXHZxMv36NMLrUC9lZKSPxYmlttr6y1a+vvJrkgYlMfrV0RiG3oQQERERkfpFBeZR7M0uYeGifcxbmM38RfvYv7+Ut17pTo9uEZxxWhydO4aR1ikcX19N0iNVs23uNj487UPCW4Rz7qfnYvPS946IiIiI1D8qMIFdu4sxTYiN8WXdhlzOumAOAKEhdnp2j6Bn90hatQgCIDEhgMSEACvjSh2TtTiLD0Z+QFBcEJf8dAk+IerlFhEREZH6qUEWmFk7i1iybD+Ll+5n6fID7MgqYtz5ifznznY0bxrInbe1oWvncFq1DNK1lHJKts/fzpRRU/CP9OeSXy4hIFpvToiIiIhI/dXgCkzTNLlg/Dz27SslONiLtE5hXHxBIj27V6xF6OnpwfiLtHSEnLqywjI+Ov0j/CL9uPjHiwlqHGR1JBERERGRatXgCkzDMPjv/ak0ivKhWdNA9VBKtbH72zn3s3OJaBWBf5S/1XFERERERKpdgyswAfr0irI6gtRTLoeLH+/8kdCmoXS9oSsJfROsjiQiIiIiUmMaZIEpUl0MD4MDmw9gqGdcRERERBogFZgibrBp+iYiWkcQmhTKuZ9pGRIRERERaZg8rA4gUpeVFZTx7Q3fMmXUFGY/MhtAxaWIiIiINFjqwRT5B0zTZN3n6/j+lu/J25FH99u6M+i/g6yOJSIiIiJiKRWYIidp75q9/DjxRzZ/t5lGqY04++OzadKjidWxREREREQspwJTpIoObj3Ir/f/yu/v/453oDdDnx5Ktwnd8PDUSHMREREREVCBKVIlzjInb3R5g/LCcnrc3oPed/fGL9zP6lgiIiIiIrWKCkyRY8icncnvH/zO6FdHY7PbGPPWGGI7xxIUF2R1NBERERGRWklj+0QOMU2TXct3UXygGIADWw6w6dtN5G3PA6DV6a1UXIqIiIiIHId6MKVBczlcbJ+/nXVfrGP9F+vJzcxl6NND6XFrD9qPa0/qxam6xlJEREREpIpUYEqDYrpM9q7ey9ZftrL1561kzMqgLL8Mm91G06FN6XdfP1qe3hIAm13rWYqIiIiInAwVmFKv5W7LpWhfETGdYjBNk2finyE/Kx+AsOZhpFyYQvLgZJoOa4p3oLfFaUVERERE6rYTFpiGYbwNjAb2mqbZrvojiVSdaZoU7y8md1suB7ceZN+6fRQfKGbY08MAmHbVNIr2FXH1sqsxDIMet/fAN8yXpAFJBMcHW5xeRERERKR+qUoP5jvAi8B71RtF5O/yduSxf+N+kgYmAbD207Vs+m4TedvyyN2WS+72XBzFjiOOCU0OZcgTQ/CwedDvgX54+vzxbd7j1h41ml9EREREpCE5YYFpmuZswzASayCL1EKmaeJyuPCweWB4GDjLnJQVlOFyujCdJs4yJ44SB45SB44SB87SivsxnWPwDfXlYPpBMn7NoM3ZbfAO8mbb3G1s/HYjZflllOaVVn4uzf/T7bxSrl97PcFNglnx7gpm3jOT/5T8B09vT7bP387m6ZsJTgimUftGNB/dnOD4YILjgwlJDCG8RTh2f3tl/iY9mlj41RMRERERaVga3DWYa56HWY9/RWlJxdITmOZf9qi47xfQiITWwwHYsuoLvH3DiGvWD4D1yz7A5Sg7tPfRjw8OSyau+QAA1i15j9CoFkQndMflLGft4nf+tn9lK4fyRMSmEJPYE5eznDWL3iI6oTuRjTtQWpzDhuUf/u34Pz5V3IhJ7ElUXEdKi3NYv+x94lsMITSqJQU5O9j8+2eYpgvTNOHQ54r7rooWTBfJ7U4nIiaFvAOZrFvyLq3SLiE4PIl9O9eyZdXnJ/w6/7H/Dras+pqMSU3w9fdmV0YW2zcuwObpjYfNjs3Tu+LD5ovNMwQfTzv+Yd7MusSG3RtKilJo3SWBH0/zwPAAGEbb1Irhr+SDuQZy1kAOkHnCVHIyctZYnUBERERE6hq3FZiGYVwNXA0QHx/vrmbdzlEM5cXlOMvKDj1i/LHR+OO2o9RFWU7FbWcpOA2z8r7pMDBdHkceCxh/uu8qs1Xub5jeuEo8KcsBl8vAZvj97Xx/zWKW+VTu7+UZglnqTVkOOMps2L3Cjti/8qg/tWeU+1Xu7+MdjVlyqL1iH/z84jEMDwzDAMPAwAPD8Ki8jWHg6YqgLAc8ykOJiRuAhyOUshywGzH/397dhNp1lWEAfr97UxVrkYRKkFjrD6WQTqJcJYMgdaLVSXUidtSBoIMKFTopTuzEoT8TERRLO9CK4F8RB0oRdCDirRRbLWKRFhtioojUQTHVfg7OrlzaJAazTrZnn+eZnL3XPufcb/CxOC977XVz7Mb3/+czVbupnUPZ2dlN1aHVce3mmj6a839Lrn31zbnlxN3Z+cd1Of9CcuT1J3PkXSdXf/tSnk/OP5/s5HBes3M4Lzx36bcz3muPJUdPzV0FAACbpPoVd/Au8KbVEtkfXO4mP3t7e72/v3+FpQEAAPD/pqoe7e69C13zH+QBAAAY4r8GzKp6KMnPk9xcVc9W1cfWXxYAAACb5nJ2kb3jahQCAADAZrNEFgAAgCEETAAAAIYQMAEAABhCwAQAAGAIARMAAIAhBEwAAACGEDABAAAYQsAEAABgCAETAACAIQRMAAAAhhAwAQAAGELABAAAYAgBEwAAgCEETAAAAIYQMAEAABiiunv8l1b9Ockzw7+Yy3V9kr/MXQSsif5m6fQ4S6a/Wbpt6fEbu/sNF7qwloDJvKpqv7v35q4D1kF/s3R6nCXT3yydHrdEFgAAgEEETAAAAIYQMJfpK3MXAGukv1k6Pc6S6W+Wbut73DOYAAAADOEOJgAAAEMImAtSVbdV1e+q6qmqunfuemC0qnq6qh6vqseqan/ueuBKVNX9VXWuqp44MHakqn5cVb+fXg/PWSNciYv0+H1VdXqaxx+rqg/OWSP8r6rqhqr6SVX9tqp+U1V3T+NbP48LmAtRVbtJvpTkA0mOJ7mjqo7PWxWsxXu7+8S2bwHOIjyQ5LaXjd2b5JHuvinJI9M5bKoH8soeT5IvTPP4ie7+4VWuCUb5Z5J7uvt4kpNJ7pp+e2/9PC5gLse7kzzV3X/o7vNJvpnk9plrAuAiuvunSf76suHbkzw4HT+Y5ENXsyYY6SI9DovQ3We6+1fT8d+TPJnkWMzjAuaCHEvyxwPnz05jsCSd5EdV9WhVfXzuYmANjnb3men4T0mOzlkMrMknq+rX0xLarVs+yPJU1VuSvCPJL2IeFzCBjXKqu9+Z1VLwu6rqPXMXBOvSq23ebfXO0nw5yduTnEhyJsnnZq0GrlBVvS7Jt5N8qrufO3htW+dxAXM5Tie54cD5m6YxWIzuPj29nkvy3ayWhsOSnK2qNybJ9Hpu5npgqO4+293/6u4Xk3w15nE2WFVdk1W4/Hp3f2ca3vp5XMBcjl8muamq3lpVr0ry0SQPz1wTDFNV11bVdS8dJ3lfkicu/SnYOA8nuXM6vjPJ92esBYZ76Yf35MMxj7OhqqqSfC3Jk939+QOXtn4er9WdW5Zg2ur7i0l2k9zf3Z+dtyIYp6reltVdyyQ5lOQbepxNVlUPJbk1yfVJzib5TJLvJflWkjcneSbJR7rbJilspIv0+K1ZLY/tJE8n+cSB59VgY1TVqSQ/S/J4khen4U9n9RzmVs/jAiYAAABDWCILAADAEAImAAAAQwiYAAAADCFgAgAAMISACQAAwBACJgAAAEMImAAAAAwhYAIAADDEvwHaDnl784kFVwAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ax = sts.plot(label='function',method='function')\n",
    "sts.plot(ax=ax,method='smooth', smooth_basis=Basis(Bases.sigmoid,2),label='smooth (sigmoid)',linestyle='--')\n",
    "sts.plot(ax=ax,method='smooth', smooth_basis=Basis(Bases.sigmoid,2),smooth_factor=0.5,label='smooth (sigmoid - override)',linestyle='-.')\n",
    "\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}