{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Budyko Transport for Energy Balance Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this document an Energy Balance Model (EBM) is set up with the energy tranport parametrized through the the **budyko type parametrization** term (instead of the default diffusion term), which characterizes the local energy flux through the difference between local temperature and global mean temperature." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$H(\\varphi) = - b [T(\\varphi) - \\bar{T}]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "where $T(\\varphi)$ is the surface temperature across the latitude $\\varphi$, $\\bar{T}$ the global mean temperature and $H(\\varphi)$ is the transport of energy in an Energy Budget noted as:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$C(\\varphi) \\frac{dT(\\varphi)}{dt} = R\\downarrow (\\varphi) - R\\uparrow (\\varphi) + H(\\varphi)$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from __future__ import division, print_function\n", "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import climlab\n", "from climlab import constants as const" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Creation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An EBM model instance is created through" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# model creation\n", "ebm_budyko = climlab.EBM()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model is set up by default with a meridional diffusion term." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "Untitled: \n", " LW: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \n", " SW: \n", " diffusion: \n", "\n" ] } ], "source": [ "# print model states and suprocesses\n", "print(ebm_budyko)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create new subprocess" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The creation of a subprocess needs some information from the model, especially on which model state the subprocess should be defined on." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# create Budyko subprocess\n", "budyko_transp = climlab.dynamics.BudykoTransport(b=3.81,\n", " state=ebm_budyko.state,\n", " **ebm_budyko.param)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the model's **whole state dictionary** is given as **input** to the subprocess. In case only the temperature field ``ebm_budyko.state['Ts']`` is given, a new state dictionary would be created which holds the surface temperature with the key ``'default'``. That raises an error as the budyko transport process refers the temperature with key ``'Ts'``." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the new transport subprocess has to be merged into the model. The `diffusion` subprocess has to be removed." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# add the new transport subprocess\n", "ebm_budyko.add_subprocess('budyko_transport',budyko_transp)\n", "\n", "# remove the old diffusion subprocess\n", "ebm_budyko.remove_subprocess('diffusion')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "Untitled: \n", " LW: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \n", " SW: \n", " budyko_transport: \n", "\n" ] } ], "source": [ "print(ebm_budyko)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model integration & Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To visualize the model state at beginning of integration we first integrate the model only for one timestep:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# integrate model for a single timestep\n", "ebm_budyko.step_forward()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following code plots the current surface temperature, albedo and energy budget:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# creating plot figure\n", "fig = plt.figure(figsize=(15,10))\n", "\n", "# Temperature plot\n", "ax1 = fig.add_subplot(221)\n", "ax1.plot(ebm_budyko.lat,ebm_budyko.Ts)\n", "\n", "ax1.set_xticks([-90,-60,-30,0,30,60,90])\n", "ax1.set_xlim([-90,90])\n", "ax1.set_title('Surface Temperature', fontsize=14)\n", "ax1.set_ylabel('(degC)', fontsize=12)\n", "ax1.grid()\n", "\n", "\n", "# Albedo plot\n", "ax2 = fig.add_subplot(223, sharex = ax1)\n", "ax2.plot(ebm_budyko.lat,ebm_budyko.albedo)\n", "\n", "ax2.set_title('Albedo', fontsize=14)\n", "ax2.set_xlabel('latitude', fontsize=10)\n", "ax2.set_ylim([0,1])\n", "ax2.grid()\n", "\n", "# Net Radiation plot\n", "ax3 = fig.add_subplot(222, sharex = ax1)\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.OLR, label='OLR',\n", " color='cyan')\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.ASR, label='ASR',\n", " color='magenta')\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.ASR-ebm_budyko.OLR, \n", " label='net radiation',\n", " color='red')\n", "\n", "ax3.set_title('Net Radiation', fontsize=14)\n", "ax3.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax3.legend(loc='best')\n", "ax3.grid()\n", "\n", "\n", "# Energy Balance plot\n", "net_rad = ebm_budyko.net_radiation\n", "transport = ebm_budyko.subprocess['budyko_transport'].heating_rate['Ts']\n", "\n", "ax4 = fig.add_subplot(224, sharex = ax1)\n", "ax4.plot(ebm_budyko.lat, net_rad, label='net radiation', \n", " color='red')\n", "ax4.plot(ebm_budyko.lat, transport, label='heat transport', \n", " color='blue')\n", "ax4.plot(ebm_budyko.lat, net_rad+transport, label='balance',\n", " color='black')\n", "\n", "ax4.set_title('Energy', fontsize=14)\n", "ax4.set_xlabel('latitude', fontsize=10)\n", "ax4.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax4.legend(loc='best')\n", "ax4.grid()\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two right sided plots show that the model is not in equilibrium. The net radiation reveals that the model currently gains heat and therefore warms up at the poles and loses heat at the equator. From the Energy plot we can see that latitudinal energy balance is not met." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we integrate the model as long there are no more changes in the surface temperature and the model reached equilibrium:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total elapsed time is 7.011111111111103 years.\n" ] } ], "source": [ "# integrate model until solution converges\n", "ebm_budyko.integrate_converge()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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CmSSmr9jDj4t38PfmQ5xOSqaQvx8NK5Wia8MKVCodTMXSwVQoVYQAf2HRokU0adKEU4nJ7Dh8km2HTrL90ElW7TrGe7PXM3LWeoIL+dOyWgg9mlQkumZZAvw1MVRKKZUPxAOzgF+B+UAskOy8Vh6bzN0GVAHKYpO8ECAYEPjnn39o2qTpuZbDg8A+YBM2ifwJ+MLZnz/QEGgJdATaAoXz+PxUlq1evZrGjRuf91yJEiWoVKkSGzZsyHD76dOn061bt7wKL1/RZFApL7J+73FG/7WNiUt3cjT+DJXLBHNviwhaVAuhaURpihTyT3e7vcX9qB1WAoCGFUud99rR+DP8uekg89cf4JcVe/ht1V7KlQiie5Nwbm9WiQqliuT5eSmllFJZcgSYAEwBfsMmhEWBq4AXgBbYVrxSF9vBOScOnYAGGax0CPgLWOAsnwIjgWJAB+BG4Cag4M9mkGX9gdwefdcQeOcSrxtj0i2ccrHnU/Ts2ZMTJ06QlJTEkiVLLrqeL9FkUCkvsGl/HG/PXM/Uf3dRyN+PjvXKcXuzilwVWQY/v5xViSpZJJAOdcvRoW45XupSh9lr9jH27218MGcDH8/dyJ3NKtG3XTUuLx6US2ejlMoOEQkC5mHbIQKAH40xL4tIJDAWKA0sAe42xpwWkcLAN0BjbFvHbcaYLa4Er1RuSAJmAl8BE4FTQCXgPqAL0Ia8a6UrDVzvLAAJwGxsMjoVGA88DNwK3OPEoh1sXFO7dm1++umn8547duwY27dvp2rVqhfdbvTo0TRo0IBnn32Wvn37MmHChLwO1etpMqiUi3YdiWfkzPX8uGQHhQP86Nu2Kve1rELpooXy5HiB/n5nE8Mdh0/yYcxGRv+1je8Xbeee5pE81KYKpYLz5thKqQydAtoZY+JEJBCYLyK/AE8AbxtjxorIx9iPxh85Xw8bY6qJyO3AMGxnOaXyl8PYlrj3gR3YxOwBoBd2HJ8bMxgEAZ2c5UPsGMWvsbdlvgEigcewf4UlXIjPi1yqBS+vREdHM2jQIL755ht69epFUlISAwYM4J577iE4OPiS2wYGBvLaa69RtWpVVq9eTe3atT0UtXfSexpKuSAp2TBq/mbavzmXiUt30uvqysx9qi1PdaiVZ4lgWuGXBTPkpvrMGtCG6+uF8cm8jVzz1lym/rsLY4xHYlBKnWOsOOdhoLMYoB3wo/P810DKQJeuzmOc19uLTvyl8pON2IQqHHgWO/ZvHLALeA9oijuJYFp+QHPgE2AP8B025ieAisCTwDbXovNJIsLEiRMZN24c1atXp0aNGgQFBTFkyBAAZs2aRXh4+Nnljz/+OG/7IkWKMGDAAN544w03wvcq2jKolIet3XOcZ8bHsmz7EdrWLMvgbvUIv+zSd7HyUuUyRXn7toY80KoKz02I5bExS5m8bCeDu9UjrKSOJ1TKk0TEH1sjsRrwAfbj8hFjTEoJ4R1ABef7CsB2AGNMoogcxZbOOODRoJXKqk3AIOB/2IItdwL/JeNxfd6gCHCHs/wDvIVtGhuJbSV8AZsoqjxXsWJFpk6desHz0dHRxMfHX/B8TEzMeY8HDBiQV6HlK5oMKuUhycmGj+Zu5J2Z6ygeFMjI2xtyY4Pylxzo7El1ypdgwiMt+HLBZt74bS3XvTWPl2+sy62N9aqmlKcYY5KAhiJSCjtqKr3+SylN9+n987igWV9E+gB9AEJDQy/4QJRZcXFx2d42P/GV8wTPn2vh/YWp/L/KlPu5HMbfsOvmXWy/bTunQ07brqJ5FEqenueDULhbYSqNqUTYqDD4AnZ12cW2nts4Xfp03hzzIjz5fpYsWZLjx4975FjpSUpKcvX4npLZ80xISMj2e6/JoFIecPjEafp/v4y56/bTOSqMQV3reaw7aFb4+wn3t6rCdXXK8dSP//LkuH9ZtOUQr9xYl6DA9CuZKqVynzHmiIjEYGsnlhKRAKd1MBzbiQ5sK2FFYIeIBAAlsTUR0+7rU+yILJo0aWKio6OzFVNMTAzZ3TY/8ZXzBA+e6wnsiNYR2CIxDwEDoWL5ilSkYp4f3iPneRuwFRgM4V+FE/5rOAzEdiX1UH02T/7url69muLF3Sutevz4cVeP7ymZPc+goCAaNWqUrWPomEGl8tjSbYe54d3f+WPjQV6/qR7v3dHIKxPB1CqVCea7B67i0bbVGPvPdm7+cCFbD55wOyylCjQRKeu0CCIiRYBrgNXAHGwNQ4DewGTn+ynOY5zXZxsd8Ku8iQFGY8cCDsZOzbAeWyimvItx5ZXKwOfAGuA64Hls2/540mmzV8o7aDKoVB4a8/c2enzyB35+wviHm9Pzyspe0y00I/5+wpMdavLFPU3YeSSezu/NZ87afW6HpVRBFgbMEZFY7GikGcaYacAzwBMisgE7JnCUs/4ooIzz/BPYEhxKeYdVQCvgLqAcdrL477AJU0FXDTtH4kzsPIW3AtcCGc+FrpTHaTKoVB4wxjB8+hqem7Cc5lVDmPZYS+qHl3Q7rGxpVyuUaY+1pFLpYO7/ehFj/taSaUrlBWNMrDGmkTEmyhhTzxgzyHl+kzGmmTGmmjGmuzHmlPN8gvO4mvP6JnfPQCnsBCkvY2cNX41tKfsbO0m8r2kPLMW2hP4D1AeGAmfcDEqp82kyqFQuO52YzH+/X8aHMRu5o1klRvVuku/n7qtYOpgfHryaltVCeG7Cct78ba1OP6GUUup8C7BJ4CCgB7a75H349qfNAKAvtqX0euA57JQZi90MSqlzfPnPU6lcdyzhDL2/+JtJy3bxVIeaDLmpHgH+BePPrGjhAD7v3YTbmlTkvdkbGPDDv5xOTHY7LKWUUm47he2k3AqIB34BvgXKuhmUl6mA7To6AdiPLQ01CEi81EYqIxMnTkREWLNmDQDJycn069ePevXqUb9+fZo2bcrmzZsBiIiIoH79+kRFRdGmTRu2bt3qZuheo2B8SlXKCxw9eYa7Pv+Lf7Yc4q0eDejbtlq+GR+YWYH+fgy9pT4Drq3BhKU76fvdEk0IlVLKly0HmmGrhd7vPO7oakTe7SZgBbbl9GWgJbDO1YjytTFjxtCyZUvGjh0LwPfff8+uXbuIjY1l+fLlTJw4kVKlSp1df86cOcTGxhIdHc1rr73mVtheRZNBpXLBkZOn6TnqT9bsPs6nvRpz8xUFd24+EeGx9tUZ1LUuM1bt5eFvF3MqMcntsJRSSnmSAd4GmgB7gKnYCUwKfrX/nLsMW2X1e2wi2BD7s9PRF1kSFxfHggULGDVq1NlkcPfu3YSFheHnZ1Oc8PBwLrvssgu2vfrqq9m5c6dH4/VWmgwqlUOHT5zmzs/+Yt3eOD7p1Zh2tULdDskjel0dweBu9Zi1Zh8P/W8xCWc0IVRKKZ9wEOiKrWHbEdvS1dnViPKnHtifXUvgQeBO4JirEeUrkyZNomPHjtSoUYPSpUuzZMkSevTowdSpU2nYsCEDBgxg6dKl6W47ffp0unXr5uGIvZNOOq9UDhw6cZo7P/uTzQdO8FmvJrSp4VsDJO6+qjL+IgycuJwH/7eYT+5urJPTK6VUQbYAuB3YC4wEHgMK1ogIzyoPTMd2s30RW3X0e6Cxm0FlUX9gWS7vsyHwzqVXGTNmDP379wfg9ttvZ8yYMYwYMYK1a9cye/ZsZs+eTfv27Rk3bhzt27cHoG3btuzdu5fLL79cu4k6tGVQqWyKO5XIvV/+zeYDJ/i8t+8lginuvLISQ2+uz9x1++k/dhlJydrPRSmlChwDvAG0AQoBC4F+aCKYG/ywVUZjsMV4rgY+QruNXsLBgweZPXs2999/PxEREYwYMYLvv/8eYwyFCxfm+uuvZ8SIEQwcOJBJkyad3W7OnDls3bqVunXr8tJLL7l4Bt5DWwaVyoZTiUk89L/FrNh1jE/uakyr6r6ZCKa4vVklTpxOYvC0VTw/cTn/d3P9Alc8RymlfFYc8B9gHHALMArIn1PnereW2Ba2u4FHsPMzfggUcTOoTMigBS8vTJ48mV69evHJJ5+cfa5NmzbMmzeP6tWrU758eZKTk4mNjSUqKuq8bYsUKcI777xD/fr1eeGFFyhdurSnw/cq2jKoVBYlJRue+OFf5m84wLBborimjm+MEczIfS0j6du2KmP/2c4bv611OxyllFK5YR1wJTAeGI5NCDURzDtlgGnAS8BX2Ok6dAaEC/z444/cdNNN5z13yy23cM8999ClSxfq1atHVFQUAQEBPProoxdsHxYWxh133MEHH3zgqZC9lrYMKpUFxhhenrKCn2J3M7BTLW5tXHCrhmbHk9fV5NCJ03wwZyOlixbmvpaRboeklFIqu34G7gACgV+Ba9wNx2f4Aa9iK7XehR0/+CMQ7WJMXubnn3+mePHzS9f269ePfv36XXSbLVu2nPf4vffey4vQ8h2vaBkUkYoiMkdEVovIShF53Hm+tIjMEJH1ztcLa8Mq5UEfz93Et39u48E2VejTuqrb4XgdEeG1bvXpWLccg6et4uflu90OSSmlVFYZ4C1shdAqwGI0EXRDF2xBmbLAtdjpJ5TKZV6RDAKJwABjTG3gKqCviNQBngVmGWOqA7Ocx0q5YvqK3QybvoYuDcrzbMdabofjtfz9hHdub8gVlUrxxA/LiN1xxO2QlFJKZdZp7OTxA7ATpM8HKrsakW+rAfyJTcYfBB7HfmpWKpd4RTJojNltjFnifH8cWA1UwM5i87Wz2teATgiiXLF8x1H6f7+MRpVKMeLWKC2OkoGgQH8+ubsJZYoW5oFvFrHnaILbISmllMrIAWzS8QXwAnZ8YFFXI1Jgx2hOxU7h8C62xfaoqxGpAsQrksHURCQCaAT8BYQaY3aDTRiBy92LTPmqPUcTuP+bfyhTtDCf3t1E59HLpLLFCzPqnibEJSRy39f/cPK03spUSimvtQFojq1gORoYjBd+SvRhAcDb2K6is7CFZba7GpEqILyqgIyIFMPWq+pvjDmW2dYXEekD9AEIDQ0lJiYm2zHExcXlaPv8Qs8zc04lGYb8lcDRE8k8f1URVi7+I/eCy0Xe/H4+UC+AkUuOcfcHM+nbsDB+OWxV9eZzzU16nkopj1kI3Oh8Pwto4WIs6tIeACKxU3xcCfyEbUJRKpu8JhkUkUBsIjjaGDPBeXqviIQZY3aLSBiwL71tjTGf4gyrbdKkiYmOjs52HDExMeRk+/xCzzNjxhgG/PAv247v5PNeTWhf23unkPDm9zMaKF5+M4OnrWKVCefRttVztD9vPtfcpOeplPKIcdh57Spiq4fm7F+08oRrsGM5b8C2EP4AdHI1IpWPeUUHALFNgKOA1caYt1K9NAXo7XzfG5js6diU7/r2z61MWLqT/u1reHUimB/8p0UEXRuW580Z65i7br/b4SillAIq/FgBbgOuAP7AKxPBOGAtMAfbe3UkdjjjQ0APoCO2d2t9bOHTCkAIUAI73LEocH2rVhR1nivrrFPF2aaFs48ewMPAi9hheWOAGGA9cCLPzzIb6mMLy1THtuqOcjec/GDSpEmsWrUqV/cZHR3NokWLAOjUqRNHjly6aN6QIUPOe9y8efNcjSc7vKVlsAX2vtRyEVnmPDcQGAr8ICL3AduA7i7Fp3zM4q2HGTRtFe1qXc5j7aq5HU6+JyL83831WbvnOI+PXcrUR1tSsXSw22EppZRvMsCzUP2D6rZi6GigiDuhJGOHvq3Fzm+/yVk2A1uAY+ls44edm700trZKcaAcNvErnGpJGeG/fedOKlaqRCJwClswNQGb5B0HDjnHOwQcxP540ioFRGB7aEYCVbGFPmsC4YArZeXKA/OAW4H7odJ9laCNW8F4v0mTJtG5c2fq1KlzyfUSExMJCMh6ivTzzz9nuM6QIUMYOHDg2ccLFy7M8nFym1ckg8aY+Vz8V7e9J2NRat/xBB4ZvZiwkkV4u0dD/Pz0v2puCC4UwMd3NabL+/N56NvFjH+4uRbjUUopTzuDnTriG9jVZRflx5U/lzXlsd3Av8DyVMtaID7VOsHYpKsK0BqbaFVwljBsJcFSZK1rW8ymTURXqpSpdZOAI9hxSbuAnc7X7djkdA3wCzaZTFEUmxTWd5YooAEeqnpYHFtp9D9QZVQVCMI2nxbwy+vWrVvsYZQ2AAAgAElEQVTp3r07LVu2ZOHChVSoUIHJkydTpEgRNm7cSN++fdm/fz/BwcF89tlnHDp0iClTpjB37lxee+01xo8fT9Wq5+aLvueeeyhdujRLly7liiuu4LbbbqN///7Ex8dTpEgRvvzyS2rWrEl8fDz33nsvq1atonbt2sTHn/vtjYiIYNGiRYSEhNCtWze2b99OQkICjz/+OH369OHZZ58lPj6ehg0bUrduXUaPHk2xYsWIi4vDGMPTTz/NL7/8gojwwgsvcNttt/H7778zfPhwQkJCWLFiBY0bN+bbb7/N1ar2XpEMKuUtEpOSeey7pRyNP8PER5pRMjjQ7ZAKlIiQorxzW0Pu+3oRL05awYjuDdwOSSmlfMcJbB+rX4BBsK7lOsr7l8+TQ+3HloX/Bztn/WJgT6rXK2ATp7ZALWwyVQPbwufmLVh/bKtjGaD2RdYx2ARxHTY5XAusAn7l3HxoYM+xsbM0xdZ7KZ0XQRcCvoFtiduo9EEl2At8i20eLcDWr1/PmDFj+Oyzz+jRowfjx4/nrrvuok+fPnz88cdUr16dv/76i0ceeYTZs2dz44030rlzZ2699dZ097du3TpmzpyJv78/x44dY968eQQEBDBz5kwGDhzI+PHj+eijjwgODiY2NpbY2FiuuOKKdPf1xRdfULp0aeLj42natCm33HILQ4cO5f3332fZsmUXrD9hwgSWLVvGv//+y4EDB2jatCmtW7cGYOnSpaxcuZLy5cvTokULFixYQMuWLXPt56jJoFKpjJy1nr82H+KtHg2oHVbC7XAKpPa1Q3msXTXem72Bq6uW4eYrwt0OSSmlCr7D2Pnp/sSW3HsAOyguFyQDK7A1TRY6h9jovOaHTaquww5NbIhNAvMkKfIQ4VxrZds0rx3Atngu41wSPJVzXU9rAFdhxzm2wv5sciX59YNND22iUrNKMADbvDkRKJYbO89A//6QToKTIw0bwjvvXHKVyMhIGjZsCEDjxo3ZsmULcXFxLFy4kO7dz40sO3XqVKYO2b17d/z9bZPq0aNH6d27N+vXr0dEOHPmDADz5s2jX79+AERFRREVFZXuvt59910mTpwIwPbt21m/fj1lypS56LHnz5/PHXfcgb+/P6GhobRp04Z//vmHgIAAmjVrRni4/azUsGFDtmzZosmgUnlhwYYDvD9nA90bh2uCksceb1+dvzYd4oVJK2hQsRRVy3riaqWUUj5qN9AB24T1A3ZaghxIwiY7s4G5wAJs7gG2K+fVwIPYpOcKfGve+hBsgpg6STyOTQr/dJbpwDfOa2WwhTOigXbYRDlH1R2fcHZ6H7bq6E/O4wKocOFzTZ/+/v7Ex8eTnJxMqVKl0m19y0jRoud+U1988UXatm3LxIkT2bJly3lVrzPqohkTE8PMmTP5448/CA4OJjo6moSEhEtuY0x6I1WttOeZmJi78zZrMqgUsP/4Kfp/v4yqZYvxate6bodT4AX4+zHyjoZ0Gvk7j363lImP6PhBpZTKE5uAa7FdB3/CJghZZLBVNX8DZmITwJTkrya2fkkrZ4lA65ekVRyb7EU7jw225fR3Z5mHLZ8PNm+Lxr5N12HHTmZZb+zAytuwAy9/wzZj5pUMWvA8qUSJEkRGRjJu3Di6d++OMYbY2FgaNGhA8eLFOX78eKb2c/ToUSpUsD+0r7766uzzrVu3ZvTo0bRt25YVK1YQGxub7raXXXYZwcHBrFmzhj///PPsa4GBgZw5c4bAwPOHIbVu3ZpPPvmE3r17c+jQIebNm8eIESNYsmRJNn4KWeMVU0so5abkZMMTPyzjWPwZ3r+zEcGF9B6JJ4SVLMIb3Ruwevcxhvy82u1wlFKq4FkFtMRmbrPIUiJ4FDv58wPYBK8m8BgQi03+RmPHza0BPgN6YatsaiKYMQGqAfcCXwAbsAVqvgG6AH9jp7mo6iwPY+dWi8vKQbpimyC3Y38HNl569YJk9OjRjBo1igYNGlC3bl0mT7Yz091+++2MGDGCRo0asXHjpX8gTz/9NM899xwtWrQgKSnp7PMPP/wwcXFxREVFMXz4cJo1a3bBth07diQxMZGoqChefPFFrrrqqrOv9enTh6ioKHr27HneNjfddBNRUVE0aNCAdu3aMXz4cMqVK5eTH0Om6ade5fM+mbeJ39cf4PWb6lGrnI4T9KT2tUO5v2Ukn8/fTPOqZehYL8ztkJRSqmBYgm1aCsQ2PWXQ6cVgc8efsHPPLwASsXPztQeewzYwVr3YDlSOhGPnWLub81tif8PWgvkYWyemFXZ++RuwCfolRWP78nZwNpwJXHpWhXyjcuXKrFix4uzjJ5988uz3kZGRTJ8+/YJtWrRocdF5BlO3/gFcffXVrFu37uzjwYMHA1CkSBHGjh2b7j62bNly9vtffvkl3XWGDRvGsGHDzj6Oi7MpvogwYsQIRowYcd76rVq1olOnTmcfv//+++nuNye0ZVD5tNgdR3jzt7XcUD+MO5tlruy0yl1Pd6xFVHhJnhm/nD1HL92nXimlVCYswA5aK4bth3iRRPCMCDOAftgkrx7wDLYh8SlsDnkAmICd5F0TQc8QbKGZR7HdRw9ic7p+2IqsA7AVWGs438/BJu7paoLt12uwcxDmfa9Dlc9oMqh8VvzpJPp/v4yyxQsz5Kb6uTpni8q8QgF+vHNbQ04nJvPUj/+SnHzxQdRKKaUyMAPbIlgOmwhWO//lY8D3wB3ATS1acB22m2dd4BNgB7Y4zBBsY5JOsOS+QtjcfgS2ausW4H1scv4+tvBMKDCkVi3Gk0530nrY34VgZ0cLPBG1yi80GVQ+a8jPq9m0/wRvdm+g8wm6rErZYrzYuQ6/rz/AVwu3uB2OUkrlT1Ox00dUwzbrVbRP7wM+x3YvDAFuxw4hbLN//9mWp6lAH/K2zojKHZWBvtjpIg9ix3Z2Bv4qU4Zbse9xV+Ar53XA/k7Mx94kuA7b1KgUmgwqHzVnzT7+9+dW7m8ZSfNqIW6Ho4A7mlWkfa3LGTp9Dev2Zq7al1JKKcePwM1AFDAHdobCe9iegWHYQjBrsV0N52Nnm3hq7Vq6YBuMVP5UDPu2fw1MWLiQOdguvUuxBWpCsXWDPgL2VMR2GY3EDjq8cFhdllxqOgTlOTl9HzQZVD7nYNwpnvoxllrlivNkhwyHXysPERGG3RpFiaAA+o9dxqnEpIw3UkopZUt73gYJV8L7M6F5aVuQpB9wCHgB2/VzA/AGdl47ncyn4PE3hmjgHWArsAh4Gtv19xGgPNCmHHwaA6drAzdiy5RmQ1BQEAcPHtSE0GXGGA4ePEhQUFC296HVRJVPMcbw3ITlHIs/w7f3N9O57bxMSLHCDLslivu+XsTbM9bz7PW13A5JKaW82oEvoMz9sDgaoqfAiWLQCHgdO7e83vL0TQI0dpbXsZVif3SWB0Pg6dmwoCPUvgWOfAele2Rt/+Hh4ezYsYP9+/fncuSZk5CQkKMEKL/IzHkGBQURHh6e7WNoMqh8yuRlu/ht1V6eu76WTiPhpdrXDuWOZhX5dN5GrqsbyhWVLnM7JKWU8irbgHFA4kfwzCPwS0d4bQK8WMTOAahVP1Vqgi0QVBd4GdtdeFwpuH8GDO0MLe+Awaeh5F3296d8JvYZGBhIZGRkHkZ9aTExMTRq1Mi143uKJ85Tu4kqn7HvWAIvT1nJFZVKcX+rKm6Hoy5hYKfahJUswpPj/iXhjHYXVUqpHdjuf1djC4hsG2kTwfVdoOYkWFDETguhiaDKSE1s1+E/ikPYz7AtGp7vBcu+sN2LWwMfYKexUAWfJoPKJxhjGDhxOQlnknijewP8/XQaCW9WPCiQYbdE2Wqvv611OxyllHLFLmwRmFbYwqD/BRKAWcNhZH/gFqj+I1Qp7GKQKl+rURQip4FfB/jiPpj6sR1n+ii2smw77IT3+1yNUuUlTQaVT5iwZCczV+/j6Y61qFK2mNvhqExoWT2EnldW4vP5m1m05ZDb4SillEfsAT7EVgFNKQJzFHgN271v6WvQ7hns/BBjsZPQKZUTRYBJQBe44WFY8a6dz/BFbNXZh7EVaa/Bzkl5wLVAVV7QZFAVeHuOJvDK1JU0iyjNvc0j3A5HZcFznWpToZTtLhp/WruLKqUKpn3Y1pd22NaYvtgP3K9gC3/EAs8bqPEy9hP63cC3aOUHlXsKc256kseh7pvn//4NxI5V7YOdqrADMIpU8xiqfEuTQVWgpXQPTUwyDL81Cj/tHpqvFCscwPBbo9hy8CQjftXuokqpgmMvNgFsj211eRjbLfQFYDmwEngJqA1ggOeBQcB/gC/RuSFU7iuEbW3uDjwJDLXFZ+oDg7Et00uw01VsBO7nXGL4OZoY5ld6T0kVaH/uTmL2mn282LkOESFF3Q5HZUPzqiHcdVUlvly4mc4NwtwORymlsm03MBHbADMXSMYW8xgI9ADqYT98n8dgP32/ATyI7UOqt/JVXgkEvnO+PgecwbZGY383G3Fu6pKlwA/YyrYPYCe7b4fNJbsBZT0auMou/XeiCqyDcacYvfoUjSqV4h7tHpqvPdOxFuVKBPHs+FgSk3WCW6VU/rEdeBdboTGlC+hubENfLLAa2+pSn4skgv/FJoJ9gY/QT24q7wUA3wC9sM3TL2F/F1MR4ApgKLABWAw8BWziXFfS9th7F7s9E7XKJv2XogqsV6euIj4Rht0SpdVD87niQYG8flM91u2NY9qmM26Ho5RSl7QO+yG5GVAJeBw4gh2DtRKbAA7iIglgimRsAjgS6I8tK6qXMuUp/tjuyPdh71YM5IKEMEVKYvh/wHpgmbP6LuyvcAWgBfAmNllU3kWTQVUgzVy1lyn/7uLGqoHUCC3udjgqF7SrFUq3huWZuvEMa/ccdzscpZQ6Kxn4B9vaVwfb9fM57IfkodixVrHYBpY6md3hg9iWwKeBt9BEUHmeH/Aptv/nUOw4wgw65wjQAJs/rsbe/BgExDubV3VefxnbzVT7+rhPk0FV4BxLOMMLk1ZQM7Q4N1QJdDsclYte6lKX4AB4enwsSdpdVCnlogTgZ+zn5IrYVsBh2GIw7wJbgb+wE8HXyMqOk7CtMZ9js8uhaCKo3OOH7ev5KPamxONkKYOrgy2KtARbdOYtoCR2qpQrgAjgMeA34HSuBa2yQpNBVeAM+2UN+44nMOzWKAK0e2iBUrpoIXrWKcy/24/w1cItboejlPJRXwJlgBuA0cDVwNfYKSJmYT/cVsrOjhOx47S+wvYpHYwmgsp9gr3D8V9sd+VHsK3XWVTF2cU87DjCUdhiNKOwFUlDsMVolGdpMqgKlMVbDzH6r23c0zyShhVLuR2OygNXlvOnbc2yvPnbWnYeiXc7HKWUDxqO7e42HTsf4I/YHK50TnZ6BuiJreT4OrYfnSaCylsIdtDfM9g5UR7AtmJn0+XYWVImYaekmIotOvNmDsNUWafJoCowTicm89yE5ZQvGcSA67LUKUflIyLCoK71MAZemrQCY7S7qFLKc7YCa7AfZDtg5+rOsdPAbdg6/SOw1TeU8jaCrRLzIvAFcC+2NTuHigCdsfdC/kHnK/Q0TQZVgfHZ75tYtzeOQV3rUbSwTqFZkFUsHcwT19Zg1pp9/LJij9vhKJUrRKSiiMwRkdUislJEHneeLy0iM0RkvfP1Mud5EZF3RWSDiMSKyBXunoFv+NX52iG3dpgA3IKdgHAktsqGUt5KsBVhBgP/A+7Ctmrngg7Y3qczc2d3KpM0GVQFwpYDJxg5az2d6pfjmjqhboejPODeFhHULV+CV6as5FiCTjehCoREYIAxpjZwFdBXROoAzwKzjDHVsUPSnnXWvx6o7ix9sLUnVR6bjh0PWCs3dnYSuBGYhn33+uXGTpXygBew/aW/x7Zqn8r5LpsCl2H/xpTnaDKo8j1jDM9PWk5hfz9e7lLX7XCUhwT4+/F/N9fnQNwphk9f43Y4SuWYMWa3MWaJ8/1xbGX2CkBXbH0SnK/dnO+7At8Y60+glIiEeThsn3IGm413IBeG8x0HOmGbQb7AliVVKj95CtuaPRG4GdvKnQP+wHXY1ncdAOI5mgyqfG/i0p0s2HCQp6+vRWiJILfDUR4UFV6K3s0jGP3XNhZvPex2OErlGhGJwBba+wsINcbsBpswYmsvgE0Ut6fabIfznMojfwLHgI453dFRbEY5H1uO9N6c7lApl/QDPgF+wQ78O5Gz3XXAVhpdntO4VKbpwCqVrx05eZrXf1pNw4ql6NksW4W8VT434Lqa/LJ8D89PXM60x1oS4K/3uFT+JiLFgPFAf2PMMZGLtkGl98IFN9RFpA+2GymhoaHExMRkK664uLhsb5ufXOo8P4+MxK9SJQrNn09MUvZKKQYcDaDB0w0ouqkoq15axYGwA5D+4fKcvqcFi2vnWQNCnwml1vBaHG1+lOVDlpNUNHt/H8ULFYLmzflg40bu2L79ouvpe5p7NBlU+drwX9dyJP4M/7upPn46p6BPKlY4gFdurMND3y7hq4VbuL9VFbdDUirbRCQQmwiONsZMcJ7eKyJhxpjdTjfQfc7zO7DznacIB3al3acx5lPgU4AmTZqY6OjobMUWExNDdrfNTy51nk8CzYHOrVplb+d7gGuxJUknQb0b6mVvP7lE39OCxdXzjAYaQamepWj1ais78C+bc61EARuqViW6atWLrqPvae7RW+gq31qy7TBj/t7GPc0jqFO+hNvhKBd1qFuOtjXL8taMdezSuQdVPiW2CXAUsNoY81aql6YAvZ3vewOTUz3fy6kqehVwNKU7qcp9+4DF5KCL6FagFbAZ+Bk7Y71SBUkPYAIQC7TB3vzIhg7A70BcbsWlLkmTQZUvJSYl8/zEFYQWD+K/1+qcgr4uZe7BpGTDoKmr3A5HqexqAdwNtBORZc7SCRgKXCsi67HtSkOd9X8GNgEbgM+AR1yI2Wf85nzN1pQS67GJ4H5gBtAul4JSytt0AX7C/mdqDWzL+i46Yos1zcnNuNRFaTdRlS99/cdWVu8+xkc9r6CYzimosHMP9mtfnRG/rmXOmn20rXV5xhsp5UWMMfO5eJHK9umsb4C+eRqUOutXIATI8mSOsdgSiUnYT7eNcjcupbxOe+zdk07YmyAzsRPgZFILoCj2b65L7ken0tCWQZXv7DmawFu/raVtzbJ0rFfO7XCUF3mgVRWqXV6Ml6asIP509gavK6VUWsnYD6YdyOIHpz+w3eUCgLloIqh8RwvszY+TQEvg38xvWhjbeK7zDXqGJoMq3xn80yoSkw2v3liPS1TZUz6oUIAfg7vWY/uheD6M2eB2OEqpAmIptodnlrqIzgCuAcpgp5Cok/txKeXVrsAO/iuEvSmyIPObdgA2YvvAq7yl/etUvjJ//QF+it3NE9fWoFKZYLfDUV7o6qpl6NawPJ/M3cTNV4QTGVLU7ZCUUvnECWBz0aIc49xgzA3ACuf16zK7ownAHUAtbJOidmJRvqoW9mbItc4ygUxVYUpZpT1QF6gGVHWWKsApP23Pyi2aDKp841RiEi9NXkFEmWD6tNbpA9TFDbyhNrNW7+OlySv45j/NtAVZKQVAPLaexVZn2Qxscb5uBvYCNG16dv2S2A+hLYC2QGhmDvIp8DBwJbaQxmW5E7tS+VZlbELYATsI8GvgzktvUhV4G9uYuNHZ/HjqFVq3JgyIBCKcr5HOoSoDlbDdTVXGNBlU+cbnv29m04ETfHVvU4IC/d0OR3mxy4sH8cR1NXh16ip+WbGHTvXD3A5JKZXHTgG7sZMv7gB2Atuxyd92Z9mbZpsA7IfGCKAztsUhYdUqOtepQxVsD89M30oywGvAS9jCGT9gq2AopeByIAboCvTE9rt+/NKb9HcWsH9e+7E3bTYCszZvxkRGshlYCHyPrdGUWjns33fFVEu4s1QAwrA9WH2dJoMqX9h+6CTvzV5Px7rliK6pVSJVxu6+qjLjFu1g0NRVtKlRlqJadVapfCcBOID9ELgfO9ffXmfZ4yy7neVgOtsX5dyHwQbYFoMIzrUeVODCD0Ix+/bRrE4WB/glYT/YfgD0Aj4HArO2C6UKvJLYqjA9sVneXuB1MnXHRbD55OXYRvfyW7cSHRl59vUz2JtAW9Ms27HdvH/B1rJJKwSbFKYsoamWy4GyzhJCwW1p1E9HKl8YNG0VgvBSFx2BrzInwN+Pwd3qcctHC3l31nqe61Tb7ZCU8gnJ2CQuZTmRZjnuLMec5Uia5aCzHHLWT09h7Ie1cthunK2xH+TKc+6ufwXsZ8887ySegE0AxwFPAsPQ8nxKXUwQttX8EeD/sHd0PiHHN08COddVND0GOIztMZCy7HKW3c7X1dj89PRF9lEMKI3tMVAGKJVmKQEUT/W1aKolGHvqRbD/v7zpX4Qmg8rrzVmzjxmr9vJMx1qUL1XE7XBUPtK48mX0aBLOqPmbubVxONVDi7sdklL52n3Ynl5JqZZE7F35087XM1ncZxHssLqUD1Th2Fa8lA9dZdMs5bAftrxiJPBhoBswD3gDGOBuOErlC/7Ax9g7OK9is7Fx2Gwrjwj2f0ppoP4l1jPYm1J7OdcjIWVJuUmV8nUn525ixWcxnkBnKeR8DcD+WFKWLsA7WdxndmkyqLxawpkkXp6ykqpli3Jfy4vd71Hq4p7pWIvpK/bw0uSVfPfAlVpMRqkcqIkdm5f6Q0sA5z7QBGLvfqdeiqZZinP+3fN8O2ZnK3A9dgDTGOB2d8NRKl8R4BVsH+4HsVNP/ITrlXcFe3PqMmwh1Mw6xfm9Ho5zYa+IU9iOBPHO96lvoiVy/k22ajk/lUzzmmRQRL7Ajt/eZ4yp5zxXGjsmNAJb8KuHMeawWzEqz/t03ia2HTrJt/ddSaEAb2pUV/lFmWKFeapDTV6cvJJpsbvp0qC82yEplW897XYA3mIFdp6JeOA37AdZpVTW3Yft390duBo7P6cnM6FcUthZQtwOJBu86dP1V1w488izwCxjTHVglvNY+Yjth07ywZwNdKpfjpbV8+Ofl/IWd15ZmbrlS/D6T6s5cSrR7XCUUvnda9hb/PPRRFCpnLoemIvtiznC5Vh8kNckg8aYedguuKl1xc5GgvO1m0eDUq4aPG0VfiK8cIMWjVE54+8nDOpajz3HEnh39nq3w1FK5Xc7gIbY2bCVUjnXGNsPfYfbgfger0kGLyLUGLMbwPmqcwr4iJi1+/ht1V4ea19Ni8aoXNG48mV0bxzOqN83s2FfnNvhKKXys924PrZJqQKnHPZvS3mU14wZzAkR6QP0AQgNDSUmJibb+4qLi8vR9vmFN5/nmWTDC/PjKRcs1EjeTkxM9m8TefN55iZfOU/I2bm2KmH4yc/w+Ne/82STIK8uJuMr76mvnKcqQAz2A2uY24EoVcCEAUvcDsL3eHsyuFdEwowxu0UkDDvf7AWMMZ8CnwI0adLEREdHZ/uAMTEx5GT7/MKbz/ODORvYe3ItX/+nGW1qlM3Rvrz5PHOTr5wn5PxcDxffwstTVhIfUotO9b3305yvvKe+cp6qADmOLRzjvf8+lMqfUj7pJ2FLFSuP8PZuolOA3s73vYHJLsaiPGDnkXjem72eDnVDc5wIKpWenldWola54rw2bRUnT2sxGaVUFqV0Y9NuokrlrnJAMraQjPIYr0kGRWQM8AdQU0R2iMh9wFDgWhFZD1zrPFYF2Os/rcIYeLGzFo1ReSPA34/B3eqx62gCH8zZ4HY4Sqn8JiUZ1JZBpXJXyt+Ujhv0KK/pJmqMueMiL7X3aCDKNfPXH+Dn5Xt44toahF8W7HY4qgBrGlGamxpV4LN5m7m1cUUiQ4q6HZJSKr/Y43zVZFCp3JXyN7XnkmupXOY1LYPKt51OTOblKSuoVDqYPq2ruB2O8gHPXV+LQgF+vDp1JcYYt8NRSuUX2k1UqbyR8jelLYMepcmg8gpfLdzMxv0neLlLHYICddSwynuXlwii/zXViVm7n5mr061NpZRSF9oDFAYuczsQpQoYbRl0hSaDynV7jyUwcuZ62tW6nPa1Q90OR/mQ3s0jqH55MV6dupKEM0luh6OUyg9S5hj03plplMqfgoBSaMugh2kyqFw35OfVnEkyvNxFi8Yozwr09+PVG+uy43A8H8/d6HY4Sqn8QCecVyrv6MTzHqfJoHLVX5sOMnnZLh5sU4XKZbSIh/K85tVCuCEqjI9iNrL90Em3w1FKebs9aPEYpfJKGNpN1MM0GVSuSUxK5uUpK6lQqgiPRFdzOxzlw164oTZ+IgyetsrtUJRS3m43mgwqlVfC0JZBD9NkULnmf39uZc2e47zYuTZFCmnRGOWesJJFeKx9NX5btZeYtVpMRil1EaeBg2g3UaXySko3US3y7TGaDCpX7D9+ird+W0er6iF0qKtXVeW++1pGEhlSlFenruJUohaTUUqlY6/zVVsGlcobYUA8cNztQHyHJoPKFcOmryEhMYlXbqyLiJZkU+4rHODPKzfWZfOBE3z++2a3w1FKeaOU7muaDCqVN1L+trSrqMcEuB2A8j2Ltx7mx8U7eLBNFaqWLeZ2OEqd1aZGWa6rE8r7szfQrVEFKpQq4nZIykUiEgpcBzTAFjw/AvwLzDDGaIkDX6QTziuVt1JPPF/TzUB8h7YMKo9KSja8NHkF5UoE0a9ddbfDUeoCL3auQ7IxvP6TFpPxVSJSW0R+BFYBdwOB2Pp2gc7jlSLyo4jofDi+JuUWgLYMKpU3dOJ5j8t0y6CIBGJz9JS7o2uNMWfyKjBVMH3311ZW7jrGe3c0omhhbZhW3qdi6WD6tq3GWzPWMX/9AVpWD3E7JOV5XwEjgJ7GmFNpXxSRQkBXYBRwtWdDU67ajZ1s/nK3A1GqgNJuoh6XYcugiNwgIlOBo8ACYKzz9aiITBORznkcoyogDsadYsSva2letQydo/S2qvJefVpXoXKZYF6asoLTicluh6M8zBhzpTHmx/xGyYwAACAASURBVPQSQef108aYccYYTQR9zW4gBNtGrJTKfaWAwmgy6EGXTAZFZAHwMDAGqGaMKWmMCTfGlASqAqOBh5z1lLqk4dPXcvJ0Eq9q0Rjl5YIC/Xm5Sx027T/BFwu0mIxSyqETziuVtwQ7blC7iXpMRi2DDxljOhtjvjPG7Er9gjFmtzFmjDGmM/Bg3oWoCoKl2w7z/aLt/KdlJNVDi7sdjlIZalcrlGtqh/LurPXsPhrvdjjKA0TEX0RuFpFuIhKQ6vnubsalvIhOOK9U3tOJ5z3qksmgMWZ5ZnZijFmRO+GogsgWjVlJaInC9GuvRWNU/vFylzokJRte/2m126Eoz/gGuAJoCMwXkWrO8w+7F5LyKrvRSqJK5bWUieeVR2RmzOA9IjL2Iq+NEZG7cj8sVZB89/c2lu88yvM31KGYFo1R+UjF0sE8El2NabG7WbDhgNvhqLxX3hjzgjHmFeAO4HMRiXY3JOU1krGTzmvLoFJ5KwztJupBmZla4iFg2EVeGwr0zb1wVEFzMO4UI6avoXnVMnTRojEqH3qwjS0m8+JkLSbjAwqLSGEAY8zm/2fvvuOkqs4/jn+eLewCu4D03ll6FVEBFRF7wR5L1FiiJmr8aTTRqEmsMSZqNLFhxcQeo6Bi1wVFpSi9L0WKdBV3WXfZcn5/nBlZlqXPzJ3yfb9e97Uzd9pzGHbvfe455znAicB1QK9Ao5L48C1QhnoGRaKtObAR2BJ0IKlhd5LBzs65aTU94JybAWjcn+zQ3W/P58eyCm4bqaIxkpiyM9P580k9WbJ+M098uiTocCS6rgX2C99xzhXil5C4NrCIJH6Eh63puqZIdGmtwZjanWQw3cwa1vRAaH96ZEOSZDF12be88uVKLh7akc5NVTRGEtfhXZtydM9m/PPDAlZ9r2Iyyco594Vzbk21fRXOuf8EFZPEES04LxIbSgZjaneSwc+Ai3bw2IXA55ELR5JFeUUlN78+m5b1s/nNEZ13/QKROHfLCT1wOG57Y07QoUgMmVl9M7vFzP5nZu9V3YKOTWIs3DOoYaIi0RX+HVMRmZjYnWoetwIfmllb4FW2FlY+DfgFMDxq0UnCevbzr5m/ppBHzh1AnVoqGiOJr/V+dbhqeBf+9u4CPl6wjsO7Ng06JImNV/AjYF4D1C2cyjRMVCQ2wr9jSgZjYpdn6c65yWZ2FHAP8Gt8b2IlvkfwaOfc1OiGKIlm7Q8l3Pf+Qg7Na8IxvXQJVZLHJYd04NWvVvKnMXM4+JpGZGdqlHwKOAho5JwrCzoQCdgaICe0iUj0NMUvPq9hojGxO8NEcc597pw7BMgFWgO5zrlDnHMaIirbuf3NuWypqOS2k1Q0RpJLVkY6d4zsxfJvi3n444Kgw5HY+BToHnQQEge0xqBIbGQCjVHPYIzs9vg9M+tY5W6LKif5pcBq55xqrgufLFrPmzNXc82IPNo3rht0OCIRN7hzY0b2a8mj45dwcv9WdGyiboIk9wtgnJlNwq8y9xPn3G2BRCTBWIOGiIrEitYajJnd6hkMKQAWhbaCKveXA6Vm9qqZNYt8iJIoSsoquOX12XRoXJfLh3Xc9QtEEtRNx3cnKzONW8bMxjkXdDgSXXcCbYBm+KWUwpsqY6WacMUEEYm+FqhnMEb2JBn8JfAckAdkh37+Bz+PsDe+l/GhSAcoiePR8YtZtrGY20b2JCtDc6kkeTXNzeb6o7sysWAjY2d8E3Q4El1nAf2cc6c7586rsp0f6Q8ys6fMbJ2Zza6yr6GZvW9mi0I/9wvtNzN70MwKzGymmQ2IdDxSjYaJisROc5QMxsieJIO3Apc65xY757Y45wqAXwG3OOfm44fSDIt8iJIIlm3YzMP5izmhTwsO6dIk6HBEou7cA9vRp3V97nhrHj+UqLZIElsCxOoLfgY4ptq+G4APnXNdgA9D9wGOZWsv5aXAIzGKMTVtBgpRz6BIrLTAD8zXJLSo25NkMA1oX21fW7YuOl/EHsxBlOThnOOWMbOplZ7GLSf0CDockZhITzPuOLkXG4tK+ds7C4IOR6Ln38BYMzvbzIZX3SL9Qc65CcC31XaPBEaHbo8GTq6y/1nnfQE0MDOlKtGiBedFYqsF/jJc9b+IEnF7krz9A/jIzJ4GVuCril4Y2g9wPFqAPiWNnfENnyzawG0je9KsXnbQ4YjETJ/WDTj/4PaM/nwZpw5oRf+2+wUdkkTeFaGfd1Xb74BYTI5u5pxbDeCcW21m4QUuW+GPxWErQ/s0sCoatOC8SGxVXXi+cZCBJL/dTgadc/eY2UzgDGAA/uu52Dn3Tujx14HXoxKlxK3vi7dw+5tz6dumAece2C7ocERi7rdH5fHO7DXc+L9ZvHHVUDLT92TAhcQ751yHoGPYgZrW7amxmpGZXYofSkqzZs3Iz8/fqw8sKira69cmkpra2WR8E3rSkykrp7A5f3MwgUVBKn+nySiZ2ll/TX36058Z787gu43fbfd4MrV1Z2LRzj0a1hlK/N6JUiySgO5+ez7fFZcx+qJepKdpTUFJPbnZmfz5pJ5c/p8veXriUi49tFPQIUkEmNkK4G1gHPC+cy6oDGCtmbUI9Qq2ANaF9q/EVzkNaw3UWM3IOTcKGAUwcOBAN2zYsL0KJD8/n719bSKpsZ2z/I8DTjoAkmhafEp/p0koqdrZGrga+jbtW2NFkqRq607Eop27fQnbzLLM7E4zW2Jmm0L7jjKzK6MXnsSzyUu/5cUpK7h4aAd6tqwfdDgigTm6ZzNGdG/G/e8vYsW3xUGHI5ExCJgEnAcsC1XyvMbM8mIcx1jggtDtC4AxVfafH6oqehCwKTycVCJoA/B34F6gFtAo2HBEUkYL/PiH24EHge07ByVC9mQ80/1AL+Bctg5FmYOvKCopZkt5JX94bRatGtTm/0Z0CTockUCZGbeO7IkZ/FFrDyYF59xq59yTzrnT8Kclf8HPyXs9tJzDg2Z2jJllReozzewF/Nz7rma20swuBu4GjjSzRcCRofvgeyyX4Nf8fRy/zJNEQiXwMXAO/hu/Ht9L8RJ7dtYkInuvLvA80BC4GmiJX7dgIjsYEC97a0+GiZ4CdHbObTazSgDn3CozaxWd0CSePTZ+MQXrinjygoHUqaUisiKtGtTm2iPzuOOtebw1azUn9GkZdEgSIc65cuCj0HadmbXHF027Cn+R9O8R+pyzd/DQETU817G1uI1EwipgNBz40IF+wG194LLQ1jPQyERS01mhbRrwGH6189FAN2gzrA30AJru5PWyW/bkGtcWqiWPZtYE2BjRiCTuFawr4p8fFXB87xYc0b1Z0OGIxI1fDG5P71b1+fPYOXxfvCXocGQfmNmZZlZj7Ujn3DLn3EPOueOdcxFJBCUgPwIvAsfhF8u6CUqalsB/8GXyHkSJoEjQ+gOP4n8nnwIaQqdHO/me+5HA/4DSAONLcHuSDL4CjDazDgChiez/wv8ZlRRRWem48X8zqV0rnT+fpCOkSFUZ6WncfVpvvisu465x84IOR/bNHcAqM1toZk+Y2XlmppLJyaASmICvr9oCOBuYDdwALIIZ98/wE2JqBxeiiNQgB7+o3USY/MxkuAaYApyGH0Z6JX6gvYaR7pE9SQb/ACzD19RqACzCD6S4NfJhSbx6fvJypiz7jpuO706T3IhNlRFJGj1b1ufSQzvy8tSVTCzYEHQ4specc3n404ub8P1HvwUWm9nXZvZvM7sk0ABlzzhgBvB7oD1wGH7I2UnAB/izmzuBzsGEJyJ7prhdMdwDLMfPoD4SeAIYDHQCbgbmBhdfItntZNA5t8U593/OuRygGZDrnLvGOaexUClizaYS7n57PoM7NeKM/VsHHY5I3Lr6iC60b1SHG/83ix+3VAQdjuwl59xa59wrzrmrnHP98EsfP4Q/7Xgs2OhklxwwE39S2A3oB9wH9MEngmuBZ/EzMlUYRiQxZQDH4scprgOeAbrgS371xM/qvhUlhjux0z9/Ztaxpg3IBTpUuS9JzjnHza/Ppqyikr+c2hszrSkosiPZmencdWpvln9bzD8+WBh0OLKXQss29Dezq83sVWAe8DPgZXxZA4k3Ffhqg78DugJ98SeFrYFH8OOZ3sRXCs0JKEYRiY56+AV43sUXhPonfjmYW/GJYQ/8WI/J+OHiAuy6mmgB/tqasXUEbjgLqDoiNz3CcUmceWvWaj6Yt5Ybj+1Gu0Z1gw5HJO4N7tSYsw5ow+OfLOH4Pi3o07pB0CHJHjCzN4EBwALgU/yi7b9wzhUGGphs7wf8UM+38IneOiATOBw/uPcUVHFQJNU0x88hvBJfeOZ/oe2vwF34SQAn4otHDSelLw7ttGfQOZfmnEt3zqUBl+A7YbsC2fhBF88DF0c9SgnUxqJS/jhmDn1a1+fioR2CDkckYdx4nJ9be/0rMykt13DRBNMVX59uKbAYKFAiGCcqgKn4k7rh+Cv/pwGvAsOAF4D1+N6By1AiKJLqWuAX4vkQf7HoWeAg/HDxkfi/IUcB9wLTSblewz1ZIO52oItz7sfQ/UVmdhmwED9CV5LUn8bOobCkjL+dfhAZ6ZpYIbK76tfO5K5TenPx6Kk89FEB1x7VNeiQZDc557qYWTPg0ND2f2bWGD8I8RPgU+fc9CBjTBkV+NJ1nwD5+AXhvws91hvf+3cccDC+R1BEZEcaAueFti34cR/jQtt1oec0xl9oGgYcgh9emsSnv3uSDKbha3BVrZfeDg0RTWrvzF7DmzNX89sj8+jaPDfocEQSzhHdm3Fq/1Y8nL+Yo3s1p2fL+kGHJLvJObcWv6zSKwBm1gC/IMHNQBN0/IuOb/Hl4ifjy8R/BmwKPdYWOBkYgT9Zq3ElSBGR3VAL/3dkOPB3/DzDD0PbB/jZ4QD7AUPxvYmDgIH4dRWSxJ4kg/cDH5nZ08AKoA3wi9D+qDKzY4AH8AfeJ5xzd0f7MwW+27yFm1+fTc+W9bh8WKegwxFJWH88sQefFGzg+ldmMubKIWSqhz0hmK+U1Y+tvYND8acAU/FLH8u+qMSfTczAV/2cAUzDD8oFX6GgO75Uz1D8FXqt9Cgi0dIKOD+0OfwkgU9C26fAG1Wemwf0x1cn7hv62ZqtlVUSyG4ng865v5nZLOAMfPNXAxc5596JVnAAZpbO1lLeK4EpZjbWOacisVF225tz+b54C89eNEgnryL7oEGdWtxxci8u+/eXPJK/mN8c0SXokGQXzOwt/IpVtYBJwHjgX8DnzrmSIGNLKGX4hO9r/Fp+y/AlecLbj1We2wl/UvVL/NX3/fHVAUVEYs2AjqHtgtC+7/GXAieHtknAS1Vek4NPEruGfnbAj6lsh08U96QLLob2KKxQ4hfV5K8Gg/AT95cAmNmL+OmeSgajaMn6Il6btoorD+9Mj5Y6Govsq6N7Nuf4Pi3410cFXHpoR7IzNcIwzn2CX4Z8inOuLOhg4sZk/PIMJVW2QvxJ0vf4uXzrgTWhbUO114cnnHTFz8fphp/31xu/aJWISLxqgB+iPqLKvk34Oc0z2XqR63N8yc2q6y4Yfi5i89DWJPR++4V+5uDLc4a3tvh61jGw02TQzH4DPOacK93Jc7KAy5xzD0Y6uJBW+OuKYSuBA6P0WRKy9gf/lQ/u1CjgSESSx8EdG/HWzNVs+rFMyWAcCx377g/42Bef/gy8XcP+DPwJTX38SU5n/NDOZviTmvahrTW+r1VEJBnUx/+tG1ptfyk+e1mGHxmxHFjL1gtli/GJ5Pf4IlnVnYWvjBwDu+oZbA4UmNk4/BCZBfhrgLn4DtBhwLH4Iq3RUtPoW7fNE8wuxU/qp1mzZuTn5+/1hxUVFe3T6xPFrto5bV05AAvnzGDLysQ9adX3mXwSua0rv/G/Vx9O+IyWOTsfep3I7dwTcdrOeDj2xaf78Wt0Vb2CnQvUISHnyoiIREUW/qJY5108zwFFwGa2HXERw5ESO00GnXN/MLP78IViLsYP5GiAHwgyE1+I9Q/OuY1RjHElvlhNWGv8IJWqcY7CLwjMwIED3bBhw/b6w/Lz89mX1yeKXbXzu2kr4asZHDbkIDo0TtxF5vV9Jp9Ebmvl/LU8OnMqPfoOoF+bnZciS+R27ol4bGecHPvik1ZHERGJHMMnfgEOk9/lnEHn3AZ8wdW/Rz+cGk0BuphZB3zR17OAcwKKJWUUlvgejJysOJ3tKpKAcrL8ImiFJZqCFu/i4NgnIiISdXF/pu+cKzezK4F38UtLPOWcmxNwWEkvnAzmZsf9fxGRhBH+fSoK/X6JiIiIBCkhzvSdc+Pww3IkRgpLyslMN7IytKSESKSEe9oLlQyKiIhIHNCZvtSoqLSM3OxM/JrLIhIJ9bJDw0RLlQyKiIhI8BKiZ1Bir6ikXPMFRSKsbpavzKthoiIiEVBYCN98s3XbsMHvC29btgDQdfVq+M9/oFYtyM31W7160KQJtGwJLVr4nzk5ATdIJPZ0ti81KlQyKBJxGelp1M5MVwEZEZE9sWEDfPklzJgB8+fDwoWwYIHfX5OsLJ/wZWUB0LC01CeCpaXbJInbadoUunbduvXrBwMGQMOGUWqYSPB0ti81KiwtV/EYkSjIzc6gSMNERURqVlHhk77x4+HTT2HqVFi+fOvjzZtDXh6ccgp06gStWvlevZYtfU9fvXqQmbnNW35efQmbLVvghx9g/fqtvYorV0JBgU80x46Fdeu2Pr9DBxg4EA45BA47DHr1gjTNtJLkoLN9qVFRSTktG2QHHYZI0snJztCcQRGRqr7+GsaNg7ffhgkTYNMmv79jRxg8GK66CvbfH/r3hwY7X6N1t9SqBY0b+61795qfs3EjTJvmeyS//BImTYJXXvGPNWzok8Jjj4XjjvMJqUiCUjIoNSosLSMnS2PnRSItNytD1URFJLU5B199Bf/9L7zxBswJrRjWqRP87Gc+0Tr0UGjdOrgYGzWCESP8Fvb1177Hcvx4+PBDeO01v79vXzjxRDjjDOjdG1R8TxKIkkGpUVFJObnZmbt+oojskdzsTIo0Z1BEUtHMmfDii/Dyy7B4MWRk+KTvoovg+OP98M94TqTatYPzz/ebczB3Lrz1lt/uugvuuAO6dYMzz/RJbY8eQUcssksa8Czbcc75AjKaMygScTnqGRSRVLJhAzz4oB/i2bcv3HOP7wF88klYu9b3sF17rS/YEs+JYHVm0LMn/O53vqdw9Wp45BFfmfSOO/xjgwb5fd99F3S0IjukZFC2U1peSXmlUwEZkShQARkRSXrOwccf+2GTLVvC1VdDejr885+wZg28+67vDUymKp1Nm8Lll8NHH8GqVXDffVBSAr/+tU8Qzz0XJk70/zYicUTJoGwn3GuRq6UlRCIuJztD6wyKSHIqLISHHvLVNocP94nRlVf64aFTp/rbjRsHHWX0NW8O11zjq6J++SVccgm8+SYMHeqXqnj8cSguDjpKEUDJoNQgvAaahomKRF5uVgZFW8qprNTVYRFJEqtWwe9/D23a+ISvTh14+mm/XMN99/miKqnIzCd///qX/zd69FG/dMall/p/qz/+0Q+VFQmQkkHZTngIW26WCsiIRFpudibOweYt6h0UkQQ3Zw5ccAG0bw9//zscfTR88QVMmQK/+AXUrh10hPEjJwcuu2zrGoqHHurnFrZr55PDhQuDjlBSlJJB2U54mKh6BkUiL/x7pSIyIpKwpk2D007zw0FffdXPiysogJdeggMPDDq6+GbmE8HXXoP5833S/O9/+/UOzzln6zIbIjGiZFC289OcQSWDIhEX/r1SERkRSThTp/r19AYM8FVAb7nFr733wAPQoUPQ0SWevDw/dHTZMrjuOhg71ifYp58Os2YFHZ2kCCWDsh0NExWJnpws9QyKSIKZPRtOPRUOOAA++wxuv90nMLfd5hdnl33TrBn89a8+sb75Znj/fb8Mx9lna/ioRJ2SQdmOCsiIRE/uT8NEtfC8iMS5xYv9kgh9+viewFtvhaVLfcLSoEHQ0SWfRo18or10Kdxwg+8p7NEDLr4YVqwIOjpJUkoGZTvhsvc5WlpCJOJys32Pu4aJikjc2rDBrw3Yvbuf2/a738GSJb76Zb16QUeX/Bo2hLvu8v/mV10Fzz3nh5TecAN8/33Q0UmSUTIo2ykqLScrI41aGfrvIRJp4YssWmtQROLOjz/CX/4CnTr55RB+8QtfGObuuzUcNAjNmsH998OCBXDGGXDPPf67uf9+2LIl6OgkSehsX7bzQ0n5T70XIhJZuaomKiLxxjl48UXo1g3+8AcYNswXMBk1Clq2DDo6adcOnn0WvvoKBg6Ea6+Fnj1hzBj/3YnsAyWDsp2i0nJVEhWJkrq1QsmghomKSDyYPBmGDvXFSho2hI8/9klGjx5BRybV9esH774Lb78NmZlw8skwYoRfu1BkLykZlO0UlpRpvqBIlKSlGTlZGSogIyLBWruWrn/9q18XcPFieOIJv3TEsGFBRya7cswxPgH8179g+nS/1Mevf03GDz8EHZkkICWDsp2iEvUMikRTbnaG5gyKSDDKyuAf/4C8PJp98IEvDrNwoa9YmZ4edHSyuzIz4Yor/JzOK66Axx7jwPPOg8ceg4qKoKOTBKJkULZTVFqunkGRKMrJylA1URGJvQkToH9/uOYaGDyYKU8+6de3U4XQxLXffvDggzB9Ops7dIDLL4dBg2DSpKAjkwShZFC2U1hSrjUGRaIoJztDBWREJHbWroXzz4fDDoPNm+H112HcOH5s2zboyCRSevdm+v33+0JAa9bAwQfDZZfBt98GHZnEOSWDsp3CkjLqqZqoSNTkZmeqgIyIRF9FBTz8MHTt6pOEm26COXNg5EgwCzo6iTQz+NnPYP583/v75JP+u3/6aVUdlR1SMijbcM5pmKhIlOVmZVCkAjIiEk3TpvneoSuu8MsRzJoFd9wBdeoEHZlEW24u3Huv/z/QtStcdJHvFZ47N+jIJA4pGZRtFG+poNKhAjIiUZSrYaIiEi1FRX4duoED4euv4fnn4f33fVIgqaV3bz9P9IknfI9wv36+d/jHH4OOTOKIkkHZRrioheYMikSPCshIpJjZMWa2wMwKzOyGoOORgL3xhl8f8P774Ze/9MMFzz5bQ0JTWVqarxQb/r9w110+Sfzgg6AjkzihZFC2EV77TMNERaInJzuD4i0VlFdUBh2KJDAzSwceAo4FegBnm5lWCk9Fq1fDmWfCSSf5yqATJ8Kjj/pKkyIATZrA6NHw0Uc+QTzySLjgAtiwIejIJGBKBmUb4aFrKiAjEj25od+vzaVaC0r2ySCgwDm3xDm3BXgRGBlwTBJLlZUwahR07w5jx8Kdd8JXX8HgwUFHJvHq8MP9gvU33eSHEHfrBv/+twrMpDAlg7INDRMVib7cUM97YamKyMg+aQWsqHJ/ZWifpIIFC/yJ/WWXwYABvkDMH/4AtWoFHZnEu9q1fTGhadMgL88vO3LMMbB0adCRSQB0xi/bCPcMqoCMSPSEf79UREb2UU0Twba7vG9mlwKXAjRr1oz8/Py9+rCioqK9fm0iifd2WlkZbV56ifbPPktFVhaLr7+eNcceC6tW+W0PxHtbI0Xt3Ik77qDlmDF0fPxxrEcPll54IatOOw2Xnh6VGCNF32nk6IxftlEUOjnVnEGR6An3vKuIjOyjlUCbKvdbA99Uf5JzbhQwCmDgwIFu2LBhe/Vh+fn57O1rE0lct3PyZLjkEt8LeOaZpD3wAN2aN6fbXr5dXLc1gtTOXRg+HK67Dn79azo/8gidp0zxaxT26RPxGCNF32nkaJiobCO8EHZuluYMikRL+GJLkXoGZd9MAbqYWQczqwWcBYwNOCaJhs2b/XIRBx8M334LY8bASy9B8+ZBRybJok0bP+/0pZdg+XLYf38/r7CkJOjIJMqUDMo2fqomqmGiIlETLiDzgxael33gnCsHrgTeBeYBLzvn5gQblUTce+9Br15+uYjLL/cLh590UtBRSTIy81Vp582Dn//cL0PRt69fq1CSlpJB2UZRSTl1aqWTnqY1iUSiJVfDRCVCnHPjnHN5zrlOzrk7g45HImjjRl/Y4+ijISsLPvkEHnrILx0hEk0NG8LTT8P770NZGRx2mL8QsWlT0JFJFCgZlG0UlpSreIxIlKmAjIjskHPw4ot+uYgXXoCbb4bp02Ho0KAjk1QzYoSfn3rttfD449Cjhx+iLElFyaBso6i0XMVjRKKsdmY6aaY5gyJSzfLlcOKJcPbZ0L49fPkl3H47ZGcHHZmkqrp14d574YsvoHFjOPlkOOMMWLMm6MgkQpQMyjYKS8vJ0YLzIlFlZuRkZWiYqIh4FRXwz39Cz57w8cdw333w+edxXc1RUswBB8DUqX59wjfe8D3XTz6pxeqTgJJB2UZhSRn1NExUJOpyszNVQEZEYPZsPwT0N7+BIUNgzhy45hqI83XeJAVlZvoKozNn+sIyl1zil6VYtCjoyGQfKBmUbRSVaJioSCzkZmdomKhIKisp8fMB+/f3J9P/+Q+8/bYfHioSz/Ly4KOPYNQomDYNevf2lUe3bAk6MtkLSgZlG4VKBkViIicrQwVkRFJVfr4fAnrnnXDOOTB/Ppx7ri/tL5II0tLgl7/0y1CcdJLvMdx/fz+8WRKKkkHZRlFp+U9roIlI9ORma86gSMrZsAEuvBAOP9zPE3z/fRg92hfmEElELVrAyy/7Beu//94Pdf71r/1tSQhKBuUnlZXOVxPVnEGRqMvJzlQyKJIqnINnnoFu3fxw0Btv9CX7R4wIOjKRyDjxRJg7F66+Gh57zBeYeeklFZhJAEoG5SdFW/yJqQrIiERfbnYGhSogI5L85s3zRTYuvNAng9On+/lVdeoEHZlIZOXmwv33w5Qp0KoVnHUWHHccLF4cdGSyE4Eng2Z2hpnNMbNKMxtY7bEbzazAzBaY2dFBxZgqwsUsNGdQJPpyNWdQePYtXAAAIABJREFUJLkVF/sewD59YMYMX2xjwgS/fIRIMhswACZNggcegIkT/f/5226D0tKgI5MaBJ4MArOBU4EJVXeaWQ/gLKAncAzwsJmpznIUhYesaZioSPTlZGVQWl7JlvLKoEMRkUhyzs+f6tED7r4bfv5zWLDAF9tIi4fTLpEYSE/3y6XMn+8Xqv/Tn3zV0ffeCzoyqSbwv0rOuXnOuQU1PDQSeNE5V+qcWwoUAINiG11qCQ9ZUwEZkejLDV100bxBkSRSUAAnnAAjR0JOju8JfPppaNIk6MhEgtGyJbz4Irz7rr9QcvTRcPrpsHx50JFJSODJ4E60AlZUub8ytE+ipFDDREViJid00UVrDYokgeJiv2Zgz57wySdw771+/bVDDgk6MpH4cNRRvmjSHXfAuHF+/uydd2roaByIyVm/mX0ANK/hoZucc2N29LIa9tVYksjMLgUuBWjWrBn5+fl7EyYARUVF+/T6RFFTOyet9iel82dNo3BpPF8n2H2p/H0mq2Rp69dr/e/bxxM/p1297UfAJ0s7dyVV2ilJyjlfVv/662HFCj8k9J57fLl9EdlWdrZfj/DnP4ff/tZfQHnqKbjvPr9WodbZDERMkkHn3N7UTl4JtKlyvzXwzQ7efxQwCmDgwIFu2LBhe/FxXn5+Pvvy+kRRUztXT14OM2Yx/JCDaVG/djCBRVgqf5/JKlnaWqtgA/+cNomuvfpxUMdG2z2eLO3clVRppyShadP8nKhPP4V+/eC559QTKLI72rWD//7Xr7N59dV+TuGRR8I//uHn2kpMxXP3z1jgLDPLMrMOQBdgcsAxJTVVExWJnXChJg0TFUlAjz8O++/vi2OMGgVTpyoRFNlTRx7pK+0+8IBfjqJPH3jhhaCjSjmBJ4NmdoqZrQQOBt4ys3cBnHNzgJeBucA7wBXOuYrgIk1+hSVlmEHdWkoGRaItXKipsFRrDYoknBde8ItqL1rkq4Smq9i5yF7JzPQ97IsWQevWfqF6ianAz/qdc68Br+3gsTuBO2MbUeoqLC0np1YGaWkasy0SbeEeePUMiiSgRYv8QvINGgQdiUhyaNzYD7detCjoSFJO4D2DEj+KSsp/KncvItEV/l0r1NISIoll82ZYuRLy8oKORCS55OX55VkqNBAwlpQMyk8KS8q14LxIjGRlpJGZbj8t6SIiCaKgwP/s0iXYOESSTZcusGWLr8wrMaNkUH5SVFqu4jEiMWJm5GRlaJioSKIJD2NTz6BIZIV/pxYuDDaOFKNkUH5SWFL2U1ELEYm+3OxMCktUQEYkoYRPVDt3DjYOkWSjZDAQSgblJ4WlGiYqEks5WRkUac6gSGJZuBBatoScnKAjEUkuzZv73ysVkYkpJYPyk6KScnI1TFQkZnKyMzRnUCTRLFqkIaIi0WDm5w2qZzCmlAzKTwpVTVQkpuopGRRJPAsXqniMSLQoGYw5JYMCQHlFJT+WVZCTpTmDIrGiYaIiCea772DDBvUMikRLXh4sW+arikpMKBkUnHO8OMWX8W1QR8mgSKw0qFOLNT+U8NH8tUGHIiK7Q5VERaIrLw8qK2HJkqAjSRlKBlPcusISLh49lZtfn83gTo04uV+roEMSSRkXDelAx8Z1ueiZqdz4v1lsVi+hSHwLD1/TMFGR6Aj/bqmITMxoglgKe3vWav7w2iyKt1TwpxN7cMHB7UlLs6DDEkkZbRvVYcyVQ7j//UU8NmExEws2cO+ZfTmgfcOgQxORmixaBGlp0LFj0JGIJCctLxFzSgZT0Lebt/Dw9BImr/mK3q3qc//P+tK5aW7QYYmkpKyMdG44thtHdG/KtS9P58zHPueiIR0YVNsFHZqIVLdwIbRrB1lZQUcikpwaNvSbksGYUTKYYt6etZqbX5/N98UV/PbIPC4f1onMdI0WFgnaAe0b8s7Vh3L32/N58tOlvFnHaNjpW/USisSThQs1X1Ak2vLyNEw0hpQFpIj1haVc8fxX/Oq5r2jRIJs/D67NVUd0USIoEkfqZmVw+8m9eP6XB1Lh4MzHPufPY+doLqFIPHBOawyKxEJennoGY0iZQJJzzvHSlOUccW8+789Zy3VH5fHar4fQJldfvUi8GtypMXcMqc15B7Vj9OfLOOr+CXw8f13QYYmktrVrobBQxWNEoq1LF1i1CjZvDjqSlKCMIIktWV/E2Y9/we9fnUW35vUYd/UhXDlcvYEiiSA7w7htZC/+e/nB1KmVzoXPTOHK579ifWFp0KGJpKZwT4V6BkWiK/w7VlAQbBwpQnMGk9CPWyp4OL+Ax8YvISszjbtO6c1ZB7RRpVCRBLR/u4a8+ZuhPJq/hIc+LmD8wvVcd1RXfn5QO9L1Oy0SO+E5TOoZFImu8O/YwoXQt2+wsaQAJYNJ5oO5a/nzG3NY+d2PjOzXkpuO607TetlBhyUi+yArI52rR3ThhL4t+OOY2fxp7BxenrqC20/uxYC2+wUdnkhqWLgQMjN9NVERiR6tNRhTSgaTxOL1Rdz51jw+mr+OLk1zeOGXB3Fwp0ZBhyUiEdSpSQ7/ufhA3pq1mtvfnMupD3/G6fu35ndHd9VFH5FoW7QIOneG9PSgIxFJbjk50LKlisjEiJLBBLepuIwHPlzEs58vIzsznT8c140Lh3TQvECRJGVmnNCnJcO6NuWfHy7iqYlLGTdrNVcc3pmLh3YgO1MnqiJRsXChhoiKxEqXLuoZjBElgwmqtLyC5yct58EPF/H9j2WcdUBbrj0yjya5WghXJBXkZGVw43HdOXtQW+4aN4+/vbuAFyYv5/qju3Jin5aaIywSSZWVvpjFsccGHYlIasjLg9deCzqKlKBkMMFUVDrGTF/Ffe8vZOV3PzK4UyNuPr4HPVrWCzo0EQlA+8Z1GXX+QD4r2MDtb83j6hen8+j4JfzumK4My2uCmZJCkX22YgWUlqqSqEis5OXBhg3w3Xewn+bGR5OSwQRRWel4b+5a/vHBQuavKaRXq3r85dTeDO3cWCd7IsLgzo1566qhvDHzG+59byEXPj2FAzs05Joj8zioo+YPi+yT8NwlDRMViY2qRWQGDQo2liSnZDDOVVY63pmzhgc/XMT8NYV0aFyXf53Tn+N6tdAwMBHZRlqaMbJfK47t1YKXpiznwY8KOGvUFxzYoSFXH9GFgzs10sUjkT1VVgaffupvq2dQJDbCv2uffAL776/CTVGkZDBObSmvZOyMbxg1YTEL1xbRqUld/vGzfpzQpwUZKg4jIjtRKyON8w5uzxkD2/DC5OU8On4x5zwxiYHt9uOywzpxRLemupgksiOVlTBrFnz0EXz4IeTnQ2EhtGjhNxGJvo4doUEDuO46uOMOGDYMRoyA4cOhW7ego0sqSgbjzKbiMp6fvJxnPlvK2h9K6doslwfP7s/xvVtogWkR2SPZmelcOKQDZw9qyytTV/Do+CX88tmpdGxSl0uGduTUAa1UfVTEOZg3D8aPh48/ZvB778GmTf6xzp3hnHP8SegRR4B61kViIyvLDxH94IOt2+uv+8eaN6d7jx5++PZhh/leRP1u7jUlg3Fi9qpNPDdpOWOmr6J4SwWHdGnMPaf35dAumhMoIvsmOzOd8w5uz9mD2jJu9hoen7CEP7w2i7+/t4AzBrbmnEFtadeobtBhpjQzOwP4M9AdGOScm1rlsRuBi4EK4DfOuXdD+48BHgDSgSecc3fHOu6EVF4O06fDxIkwYYLfNmzwj7Vpw7cHHkjzs8+Gww/XAvMiQWrcGM46y2/OwZIl8PHH8PHHNHj3Xd97D9CsGRx6qN+GDoXevTWsdA8oGQxQUWk542at5vlJy5m+4nuyM9M4sU9LLhzSQdVBRSTiMtLTOKlvS07s04JJS79l9GfLeOKTpTw2fgmHdGnMOYPaMrx7U7IydBANwGzgVOCxqjvNrAdwFtATaAl8YGbhiWsPAUcCK4EpZjbWOTc3diEniI0bYdIk+PxznwBOmgTFxf6xDh3ghBO2nkh27Mj88eNpPmxYoCGLSDVm0KmT3y65hM8//phhrVr5iznjx/vtlVf8c3Nz4aCDYMgQ/3PQIFUk3QklgzFWVlHJJ4vW89q0b3h/7hpKyirp3DSHP5/Yg1MGtKZ+7cygQxSRJGdmHNSxEQd1bMTaH0p4acoKXpi8nF899xX1sjM4vk9LTunfioHt9tPcwhhxzs0DahoJMhJ40TlXCiw1swIgXFqvwDm3JPS6F0PPTe1ksLjY9/pNnQpTpvjEL7xwdVoa9OsHF1/sTxKHDIHWrYONV0T2jpkfHpqXB5dc4vd9/bW/4DNxoi/6dOutvkcR/DzDAw+EAw6AgQOhb1/Izg4u/jiiZDAGftxSwSeL1vPe3LV8OG8t3xWX0aBOJmfs34aT+7diQNsGGgoqIoFoVi+b3xzRhV8P68Rnizfy2rRVvD5tFS9MXk6L+tkc1aMZR/VszqAODclU8aogtAK+qHJ/ZWgfwIpq+w+MVVBxYeNGmDHDJ3/Tp8O0aX7uX0WFf7xFC3/yd/HFvndg//0hJyfYmEUketq189s55/j7P/zgLwx98YXf3n4bRo/2j2VkQM+e0L+/v0jUrx/06ZOSPYhKBqPAOcfCtUVMLNjAZ4s38GnBBkrKKqmXncHwbk05rncLhnVtSq0MnViJSHzISE/j0LwmHJrXhDtOLue9uWt4e9YaXpq6gtGff0297AwOzWvCkM6NGdKpMW0b1Qk65IRjZh8AzWt46Cbn3JgdvayGfQ6o6QDidvC5lwKXAjRr1oz8/PxdB1uDoqKivX7tvsjctIk6y5f7bdky6i5dSt2lS8n69tufnlPauDFFnTtTeM45FHbtSmHXrmxp3HjrmzjnTwp3Q1DtDEKqtFXtTD673da0NBg82G/OkbV+PbkLFpC7YAE5ixaRM3YsWc8889PTSxs3ZnOHDn5r147itm0pbtuW8nrBTN+KxXeqZDACireUM3vVD0xf8R0zVmxi0tJv2VBUCkD7RnU4c2AbjtaVdRFJEHWzMjilf2tO6d96m5ENnyxaz5szVwPQer/aDGrfkL5tGtCvTQO6tcjVXMNdcM6N2IuXrQTaVLnfGvgmdHtH+6t/7ihgFMDAgQPdsL2cD5efn8/evnanyspg1SpYvhyWLYPFi6GgYOvPjRu3Prd2bX81/6SToFcvXyiiXz+ymjYlC2gUgXCi1s44lCptVTuTT0TbumaNH1kwaxZZs2eTNXs2DceMgdLSrc9p0sRXFw7PW+zUCdq39z2RLVv6nsYoiMV3qmRwN5WUVbDuh1JWb/qRVd//SMG6Ir+tL2LZhs1Uhq7Htt6vNkM6N2JIp8YM7tyI1vvp6rmIJK7atdI5qmdzjurZHOcci9cXMbFgIxMLNjBh0Qb+N20VALXS0+jYpC6dmubQuUkOnZrm0KpBNs3r16ZpbpYuhO29scDzZnYfvoBMF2Ayvsewi5l1AFbhi8ycE1iUVTkHP/7ol2f4/ntfqXPDBli/3m+rV8M33/ht1Sr/s7Jy6+vT0qBNG3+yddppfq5PeGvbVlUCRSSymjeHY4/1W1hFhb84NX/+1q2gwBeqee65rXMRwf9NatXKby1bbl2TtEmTrVujRn7dxPr1/VzFOJoepmSwmq9/qOCS0VMoKi33W0k5m34s47vism2el5FmtGtUhy5Nczihdwv6tmlAn9YNaJKbFVDkIiLRZWZ0bppL56a5XDC4Pc45vtlUwowV3zNj5fcsWlvErJWbGDdr9TbHSTNoVLcW9bIzycnOICcrg7pZGfzl1N7BNSbOmNkpwD+BJsBbZjbdOXe0c26Omb2MLwxTDlzhnKsIveZK4F380hJPOefmRD3QW2/1hVnKymDLFv+zpAQ2b/bFWzZv9vN0ysp2/B777bf1hGn4cJ/ghef6tGvnr7bXqhX1poiI7FB6+tYewOOP3/axkhKfKH79td+WL/fbN9/A3Lnw4Yf+QtiO1KoF9epBnTpQt67/mZ3t92dm+u2ww+D666PaxDAlg9VUOvjm+xJysjNolptNx8YZ1Kvtbzern02L+tm0qF+bdo3q6Eq3iKQ0M6NVg9q0alCb43q3+Gl/SVkFyzZuZvWmEtaEtnWFpRSWlLE5dKFtxbfFpMXRldGgOedeA17bwWN3AnfWsH8cMC7KoW0r3LOXmelPXLKy/JXu8AlNnTr+fv36W6+CN27styZN/E9V8BORRJadvXW0wo78+OPWERHh0RHh0RKbNvmLZlUvopWU+ItoxcX+Z9Xh8VGmZLCaDvXTGXf1IUGHISKSsLIz0+nWvB7dmmu91KTzr38FHYGISPyrXdsPd2/TZtfPDZi6tkRERERERFKQkkEREREREZEUpGRQREREREQkBSkZFBERERERSUFKBkVERERERFKQkkEREREREZEUpGRQREREREQkBSkZFBERERERSUFKBkVERERERFKQOeeCjiGizGw98PU+vEVjYEOEwolnamdySZV2Quq0Ve3cPe2cc00iFUyy28djpP5PJp9UaavamXxSpa370s7dOj4mXTK4r8xsqnNuYNBxRJvamVxSpZ2QOm1VOyXepMp3lSrthNRpq9qZfFKlrbFop4aJioiIiIiIpCAlgyIiIiIiIilIyeD2RgUdQIyoncklVdoJqdNWtVPiTap8V6nSTkidtqqdySdV2hr1dmrOoIiIiIiISApSz6CIiIiIiEgKUjIImFlfM/vczGaZ2RtmVq/KYzeaWYGZLTCzo4OMMxLM7KpQW+aY2T1V9idbO283s5lmNt3M3jOzlqH9ZmYPhto608wGBB3rvjKzY0LfW4GZ3RB0PJFiZtlmNtnMZoT+v94a2t/BzCaZ2SIze8nMagUd674yswZm9l8zm29m88zsYDNraGbvh9r5vpntF3SckWBmV5vZ7NB3+n+hfUnZ1mShY2RytVPHx+SgY2TyHTcCOz4651J+A6YAh4VuXwTcHrrdA5gBZAEdgMVAetDx7kM7Dwc+ALJC95smYztDbapX5fZvgEdDt48D3gYMOAiYFHSs+9jO9ND31RGoFfoeewQdV4TaZkBO6HYmMCn0nb0MnBXa/yjwq6BjjUBbRwOXhG7XAhoA9wA3hPbdAPw16Dgj0M5ewGygDpAR+nvUJRnbmkybjpFJ104dH5Ng0zEyuY4bQR4f1TPodQUmhG6/D5wWuj0SeNE5V+qcWwoUAIMCiC9SfgXc7ZwrBXDOrQvtT7Z24pz7ocrdukB4cuxI4FnnfQE0MLMWMQ8wcgYBBc65Jc65LcCL+DYmvNB3VBS6mxnaHDAc+G9o/2jg5ADCi5hQL8uhwJMAzrktzrnv8d/j6NDTEr6dId2BL5xzxc65cmA8cArJ2dZkomNkErVTx8fkoGNk0h03Ajs+Khn0ZgMnhW6fAbQJ3W4FrKjyvJWhfYkqDzgkNHxgvJkdENqfbO0EwMzuNLMVwLnAH0O7k62tydaebZhZuplNB9bhT0IXA9+H/lBCcrS3I7AeeNrMppnZE2ZWF2jmnFsNEPrZNMggI2Q2cKiZNTKzOvieiDYkZ1uTiY6RydVOHR+ThI6RSXXcCOz4mDLJoJl9EBqHW30biR/2coWZfQnkAlvCL6vhreK6/Oou2pkB7IcfRnA98LKZGQnYTthlW3HO3eScawM8B1wZflkNbxX3bd2JZGvPNpxzFc65fkBr/FXe7jU9LbZRRVwGMAB4xDnXH9iMHwqSdJxz84C/4k9a3sEP2yrf6YskJnSMTK5jpI6PQPK1Zzs6RiaPII+PGbH4kHjgnBuxi6ccBWBmecDxoX0r2XoFFPwv2zeRjy5ydtZOM/sV8D/nBx5PNrNKoDEJ2E7Yre807HngLeBPJGhbdyLZ2lMj59z3ZpaPP0lrYGYZoSufydDelcBK59yk0P3/4g90a82shXNudWio1rodvkMCcc49SWi4j5ndhW9/UrY1kegYmVzHSB0fgeRrzw7pGJkcx42gjo8p0zO4M2bWNPQzDbgZP+EWYCxwlpllmVkH/ETOycFEGRGv48eShw/otYANJF87MbMuVe6eBMwP3R4LnG/eQcCmcPd7gpoCdDFfPawWcBa+jQnPzJqYWYPQ7drACGAe8DFweuhpFwBjgokwMpxza4AVZtY1tOsIYC7+e7wgtC/h2xlW5e9tW+BU4AWStK3JQsfI5Gqnjo/JQcfI5DtuBHV8TJmewV0428yuCN3+H/A0gHNujpm9jP9PVw5c4ZyrCCjGSHgKeMrMZuOH+VwQugKabO0EuDv0h6MS+Bq4PLR/HH4cdgFQDFwYTHiR4ZwrN7MrgXfxldOecs7NCTisSGkBjDazdPyFq5edc2+a2VzgRTO7A5hG6CpagrsKeC50wrIE//8yDT9M7WJgOX6uVjJ41cwaAWX4vzXfmdndJGdbk4WOkcnVTh0fk4OOkcl33Ajk+Gj+75yIiIiIiIikEg0TFRERERERSUFKBkVERERERFKQkkEREREREZEUpGRQREREREQkBSkZFBERERERSUFKBkVERERERFKQkkEREREREZEUpGRQREREREQkBSkZFBERERERSUFKBkVERERERFKQkkEREREREZEUpGRQREREREQkBSkZFBERERERSUFKBkVERERERFKQkkEREREREZEUpGRQREREREQkBSkZFBERERERSUFKBkXiiJk5Mzs9dLt96P7AKHzOv8wsP9LvKyIiIiKJQ8mgSIyZWX8zqzCziUHHIiIiEg/M7JnQBdDq2xdBxyaSzJQMisTeL4GHgV5m1j3oYEREROLEB0CLattx0fowM8swM4vW+4skAiWDIjFkZrWBc4DHgf8CF+/Gy/LM7FMzKzGz+WZ2VLX37GFmb5lZoZmtM7MXzKx5lcfTzezvZvZdaPsHkF7tPbLM7B9mtjb0OV+Y2dB9b7GIiMhuK3XOram2fQs/TaO41MxeMbPNZrbEzH5e9cVm1srMXqxyvHvLzLpUefzPZjbbzH5hZouBUqCumdU1s2fNrCh0HLzRzN40s2dCr/ujmc2uHqyZTTSzB6P6LyISZUoGRWLrdOBr59xM4N/A+WaWuYvX3AM8CPQD3gfGmFkrADNrAUwAZgODgBFADjDWzMK/37/F90ZeBhyMTwTPreEzfgZcBPQHZgHvhN5fREQkHvwRGAP0BV4CnjKzdgBmVgf4GCgBDsMf71YDH4QeC+uAvyh7Ruh9SoB7Q685BRge2n9Ildc8BXQzs0HhHWbWFRgMPBnxVorEkJJBkdi6BJ8EAowHioGTdvGaR5xzLzvn5gNXAyuAX4Ue+xUwwzn3e+fcvFCSeT5wABAuPPN/wD3V3mNN+M3NrG7ofX7vnHvLOTcPuBxYC1yxb80VERHZbceEeueqbn+t8vi/nXP/cc4VALcA5WxN2s4CDLjQOTczdLy7DH+B9IQq71ELOM8595VzbjaQjb8Q+nvn3PvOuTn4UTuV4Rc451YC74SeF3YR8KVzbkYE2y8ScxlBByCSKsysMzAEOBvAOefM7Dl8gvjqTl76efiGc67SzCYBPUK79gcONbOiGl7XycwW4Odc1PQebcLPAzKBiVWeU2Fmn1f5HBERkWibAFxabd/3VW7PDN9wzpWb2XqgaWjX/vhev8Jq0wDr4I9zYSudc2ur3A8fAydXee/NNQwLfRwYbWbXAFuA84Dbd7NdInFLyaBI7FyCH6K5vMqBygDMrI1zbsVevGca8BZwXQ2PrWX3ev/DwbgaHqtpn4iISDQUh3r9dqSs2n3H1uNcGjAd30NY3bdVbm+u9tjOjoFVvYUfzXMasAloALywi9eIxD0NExWJATPLAC4AbsTP/QtvffFXOi/cycsPqvI+hp8bOC+06yugJ34eYkG1rdA5twk/Z6Km9wgrwF/lHFrlOen4+RZz967FIiIiMfUV0BnYUMPx8NudvK4An2RWnQ9YB+hV9UnOuXLgGfzw0IuA/znnqvZaiiQkJYMisXE80Bh43Dk3u+oGvAhcVKXgS3W/MrPTQ5PV/wG0Ax4JPfYQUB94ycwONLOOZjbCzEaZWW7oOQ8Av6v2Hj8VhnHObQ69391mdlxouYtHgGb4JTBERERiIcvMmlfbmuzma5/Dj4gZY2aHmVkHMzvUzO6tWlG0OudcEb5AzF/N7Agz6wE8gT9Hrt5b+AS+0MwJqHCMJAkNExWJjYuBj51zG2t47BXgbnwl0JrcAFwLDAC+Bk4JTWbHOfeNmQ0B/oKf3J4NLAfew5fMBl8lrTn+IAa+gM1zQNU1Dn8f+vk0fujLNOAY59zqPWumiIjIXhuBH81S1Sqg9a5e6JwrNrND8cfTV/AXSr/BVxj9bhcvvw6oC4wFioD78RdES6p9xhIzG4+/KJu/q5hEEoE5pylBIiIiIiLg197FX3z9m3Pu3mqPzQWec87dGUhwIhGmnkERERERSVlm1h8/WmYykIsfLZOLX8sw/Jym+Grg7YHHYh+lSHQENmfQzJ4ys3U1lO4NP25m9qCZFZjZTDMbEOsYRURERCQlXIufIvERfojooeEpGSFrgZuBy5xzGwKITyQqAhsmGhrXXQQ865zrVcPjxwFXAccBBwIPOOcOjG2UIiIiIiIiySmwnkHn3AS2XfelupH4RNE5574AGphZi508X0RERERERHZTPC8t0Qqougj3ytA+ERERERER2UfxXEDGathX45hWM7sUuBSgdu3a+7dp02avP7SyspK0tHjOkSND7UwuqdJOSJ22qp27Z+HChRucc7u7DlnKa9y4sWvfvv1evXbz5s3UrVs3sgHFoVRpJ6ROW9XO5JMqbd2Xdn755Ze7dXyM52RwJVA1q2uNXy9mO865UcAogIEDB7qpU6fu9Yfm5+czbNiwvX59olA7k0uqtBNSp61q5+4xs68jF03ya9++PXt7jNT/yeSTKm1VO5NPqrR1X9q5u8fHeL7sPBY4P1RV9CBgkxbAFhERERERiYzAegbN7AVgGNDYzFYCfwIyAZxzjwLn8PknAAAgAElEQVTj8JVEC4Bi4MJgIhUREREREUk+gSWDzrmzd/G4A66IUTgiIiIiIiIpJZ6HiYqIiIiIiEiUKBkUERERERFJQUoGRUREREREUpCSQRERERERkRSkZFBERERERCQFxfOi8yIiIhJHrrwSJk2COnW2bg0aQJMm0Lix31q1grZt/Va7dtARi4jEh82bYcUK+Ppr+OYb2LAB1q/3PzdtguJi/5ziYhgxAu6+OzZxKRkUERGR3dK0qd+Ki2HjRli+3J/ErF8PW7Zs//wmTSAvD7p1g+7d/davH7RoAWaxj19EJJqcg5UrYfp0mD8f5s3z26JF/m9mdVlZ/u9k/fpQt66/wNasmb+wFitKBkVERGS3/PGPNe93DoqKYN06WLXKX/levhyWLYOFC2HsWHjyya3Pb9YMBgyA/feHwYPh4IN9D6OISCLZuBE++ww+/xy+/BK++sr39IU1a+Yvgp12GrRrt3Vr1congXXrBn9hTMmgiIiI7BMzyM31W6dONT9n40aYO9dfMQ+fNL33HlRU+Nf36gWHHAJHHAHDhys5FJH4s3EjfPih3z791P9NA8jI8H/DTjrJX+jq398ngfvtF2y8u0PJoIiIiERdo0Y+2TvkkK37Nm/2cxAnTvQnVs8+Cw8/DGlpcMABcNRRcOKJvgcxTSXvRCTGKipg8mR44w1/8eqrr/xIiHr1YOhQOPdc//OAAxJ3jrSSQRERkThgZk8BJwDrnHO9QvsaAi8B7YFlwJnOue/MzIAHgOOAYuAXzrmvgoh7X9St63sBhw/398vKfHL4/vt+u/NOuP12P8fwxBNh5EhfWKFWrWDjFpHkVVLiE78xY+DNN/3w94wMP5z91lvhyCNh4EC/LxnoOpuIiEh8eAY4ptq+G4APnXNdgA9D9wGOBbqEtkuBR2IUY1RlZvqr7Lfe6ufhrFvnewuHDIHnn4fjj/dzcC66CN55xyePIiL7qrTUJ37nneeLZI0cCa++6oetv/CCL5I1YQLccgscdFDyJIKgnkEREZG44JybYGbtq+0eCQwL3R4N5AO/D+1/1jnngC/MrIGZtXDOrY5NtLHRqJE/Oft/9u47Psoq++P456YTkhCYQOgdVEBACSCyaHAt2MCGYkH9Wdi191Xs665t1bWsrIplde2iqCgIK2pUBAQbIk2qEKoJLSGFlPv742YiJUIImXmmfN+vV14hk2dmzmMy8Tlzzz1n5Eh3sTZ1Krz5prtI+89/XMe9c86BCy5we3S8bsQgIuHDWleJ8N//whtvwKZNbo/f8OFw5pmuYiE+3usoA0/JoIiISOjK9Cd41tq1xphmVbe3AlbtcFxu1W0RlQzuKDHRrQyeeKIr45oyBV59FZ5+Gp54Arp3h//7P5cYBrMtu4iEl3Xr4MUX3RtKP//s9vqdeqrb/xeNZehKBkVERMJPTWtgtsYDjRmFKyUlMzOTnJycOj1hYWFhne8bCI0aweWXw8iRcXz2WVP+97/m3HhjI0aPrmTQoF856aS19O69eZ9XC0PtPAMpWs5V5xl59vVcKyvh228b8+GHLfnqKx8VFTH07LmZm25ax5FH/krDhhWAK08PJcH4mSoZFBERCV3r/eWfxpgWwIaq23OBNjsc1xpYU9MDWGvHAmMBsrKybHZ2dp0CycnJoa73DbSTT3af582DsWNj+O9/M/n000wOOACuugrOP9+NvaiNUD7P+hYt56rzjDy1PdfNm90K4JgxsHSpqxq47jq49FLo2jUdSAcODHS4dRaMn6kayIiIiISuCcAFVf++AHh/h9vPN85hwJZI2y9YF927w+OPw5o18NJLrv37lVe6Ac/XXOMuBkUk8i1YAJdd5l77118PzZu7RjC5ufDQQ9C1q9cRhg4lgyIiIiHAGPM6MAM4wBiTa4y5GHgAOMYYsxg4puprgEnAMmAJ8CxwuQchh6wGDdxq4KxZMHOmGwT91FPQpQucfnrolYKJyP6zFnJy4KSToFs3tyJ41lluNuC0aTBihNt7LDtTmaiIiEgIsNae/Tvf+mMNx1rgisBGFBn693cfDz0ETz7pksLx493MsFtucReOGmgvEr4qKtxr+sEH4dtvXSno3Xe7PcVNm3odXejTnz8RERGJeC1auCH2K1e67qNr17pZYr16ua6k5eVeRygi+2L7dnjhBbcKeOaZsHUrPPOMe43fdZcSwdpSMigiIiJRIyXFNZVZvBheftmVlp13HhxwADz/PJSXa1ihSCgrKYF3321J585w8cXQsCG89ZbbJzhqlCsTl9pTMigiIiJRJy7OJYE//gjvvQdNmsAll8DIkf149lm36iAioaOkBP71L+jcGZ54oitt28JHH7nS0OHDITbW6wjDk5JBERERiVoxMa5cdNYsmDgR0tPLGDXKdRt8/nkoK/M6QpHoVlrqRkN06gRXXw0dO8Ijj/zAl1/CkCHs8yxR2ZmSQREREYl6xsAJJ8C///0dH30EzZq5lcJu3dyewooKryMUiS5lZe4Nma5d3YiYjh3h00/h88/h0EM3KwmsJ0oGRURERKoY41Ybvv4aJkxw+5HOO8/dJiLBUVkJgwa5N2SaN4cpU+CLL2DwYK0E1jclgyIiIiK7MAZOPtnNKLvsMpg6VSWjIsGyaZN7Q+Yvf3GzQo89VklgoCgZFBEREfkdMTHQo4f7d36+t7GIRIu8PPe5Z08lgYGmZFBERERkD3w+91nJoEhw+F9r/teeBI6SQREREZE9UDIoElxKBoNHyaCIiIjIHmRkuM9KBkWCw/9a87/2JHCUDIqIiIjsgX91wr+PSUQCy/9a08pg4CkZFBEREdkDlYmKBFd+PsTFQWqq15FEPiWDIiIiInuQnAxJSUoGRYIlP9+9CaNOooGnZFBERERkLzIylAyKBEt+vvYLBouSQREREZG98Pm0Z1AkWPLytF8wWJQMioiIiOyFz6eVQZFg8ZeJSuApGRQRERHZCyWDIsGjZDB4lAyKiIiI7EVGhspERYLBWvda057B4FAyKCIiIrIXPh9s2gSVlV5HIhLZCgqgvFwrg8GiZFBERERkL3w+lwhu3ux1JCKRzV+OrWQwODxNBo0xQ4wxi4wxS4wxt9Tw/bbGmM+MMd8bY340xpzgRZwiIiIS3fwla9o3KBJY/teYykSDw7Nk0BgTC4wBjge6AWcbY7rtctjtwFvW2kOAEcC/gxuliIiIyG+rFNo3KBJY/teYVgaDw8uVwX7AEmvtMmvtduANYNgux1ggrerfjYA1QYxPREREBPjtwlQrgyKBpTLR4Irz8LlbAat2+DoX6L/LMXcD/zPGXAU0BI4OTmgiIiIiv1EyKBIcSgaDy8tk0NRwm93l67OBF621jxhjBgAvG2N6WGt36uVljBkFjALIzMwkJyenzkEVFhbu1/3Dhc4zskTLeUL0nKvOUyS0+PcvqUxUJLDy8sAYaNzY60iig5fJYC7QZoevW7N7GejFwBAAa+0MY0wSkAFs2PEga+1YYCxAVlaWzc7OrnNQOTk57M/9w4XOM7JEy3lC9JyrzlMktKSlQVycVgZFAi0/3yWCsbFeRxIdvNwzOBvoYozpYIxJwDWImbDLMSuBPwIYYw4CkoBfgxqliIiIRD1joEkTJYMigZafrxLRYPIsGbTWlgNXAlOABbiuofOMMfcYY4ZWHXYDcKkxZg7wOnChtXbXUlIRERGRgMvIUDIoEmj5+RorEUxelolirZ0ETNrltjt3+Pd8YGCw4xIRERHZlc+nPYMigZaXB61bex1F9PB06LyIiIhIuPD5tDIoEmgqEw0uJYMiIiIitaBkUCTwlAwGl5JBERERkVrIyHAlbOpeIBIYxcVQVKQ9g8GkZFBERESkFnw+KCuDwkKvIxGJTBo4H3xKBkVERERqwX+BqlJRkcBQMhh8SgZFREREasFfuqZkUCQw/K8tlYkGj5JBERERkVrwr1ZovIRIYPhfW1oZDB4lgyIiIiK1oDJRkcBSmWjwKRkUERERqQUlgyKBpWQw+JQMioiIiNRC48ZgjJJBkUDJz4fUVEhI8DqS6KFkUERERKQW4uIgPV17BkUCJS9Pq4LBpmRQREREpJZ8Pq0MigRKfr6SwWBTMigiIiJSSxkZSgZFAiU/X2Mlgi3O6wBERERkz4wxK4ACoAIot9ZmGWOaAG8C7YEVwJnW2k1exRgtfD5Ys8brKKRaZSUsXQrffQcLF8Latb99FBYC0LeoCJKT3Wa0Fi3cR8uWcOCB0KcPdOjgNoOK5/LyoHNnr6OILkoGRUREwsNga+2Ou9VuAT6x1j5gjLml6uubvQktevh8MHeu11FEscpK+PZbmDgRcnLg++9h69bfvt+06W8JX7t2YAzbNmygYdOmsGWLSxynTdt5eTc9HQ49FAYPhpNOgl69lBx6RGWiwadkUEREJDwNA7Kr/v0SkIOSwYDTnkEPVFbCZ5/Ba6+5JHD9epesZWXBeee51b1DD4WDDoLExN3uPj8nh2bZ2TvfWFIC8+a5FcVvv4VZs+COO9xHq1Zw4onusf/wByWGQVJe7vJ1JYPBpWRQREQk9Fngf8YYCzxjrR0LZFpr1wJYa9caY5p5GmGUyMiAbdtcLpGU5HU0ES43F158EV54AZYvh0aNYMgQl6gNGeJWAesqKcklkX36wKWXutvWrYOPPnIJ52uvwdix0LUrXHwxXHABZGbWy2lJzTZudJ+1ZzC4lAyKiIiEvoHW2jVVCd/HxpiFtb2jMWYUMAogMzOTnJycOgVQWFhY5/uGk72dZ15eC+AAPvhgOk2bbg9aXIEQqj/T5OXLaffaazT79FNMZSWbDjmEtbfdRt6gQVT6V/7mzav14+3TeXboAFdeSczFF9P0889pMWkS6TffTOWtt7L+2GNZec45FLduve8nFQSh+vOsrRUrkoF+rF8/n5ycDXs8NtzPtbaCcZ5KBkVEREKctXZN1ecNxph3gX7AemNMi6pVwRZAjVdPVauIYwGysrJs9q7lcrWUk5NDXe8bTvZ2nnl58OijcMABh9OzZ/DiCoSQ+5l+9x3cey+MHw8NG8K118Lll9O4Uyca78fD1vk8jz8eHngAFi4kZswYWjz3HC2mTIGzzoJbb4UePfYjqvoXcj/PffTll+7zoEHdyM7utsdjw/1caysY56nREiIiIiHMGNPQGJPq/zdwLPATMAG4oOqwC4D3vYkwuvhL2LRvsB6tWgXnnutKNj/5xO3b++UXeOQR6NTJ6+hc19F//cuVqt5wA3zwAfTs6cpH163zOrqI4X9NqUw0uJQMioiIhLZMYJoxZg4wC5horZ0MPAAcY4xZDBxT9bUEmL+5RV7eno+TWti2De66Cw44wK0G3nabSwLvuSc0u4g0bw7/+AesWOGSwpdfhi5d4P773SZS2S/+11Qo/ugjmZJBERGREGatXWat7VX10d1ae2/V7fnW2j9aa7tUfd7odazRwH+hqpXB/TRxoltxu+ceGDbMzQj8+99dk5hQ5/PBQw/B/Plw9NGuZLR7d/j0U68jC2v+15SSweBSMigiIiJSS0oG91N+Powc6eb5pae7mX+vv+5mAoabzp3h3XddaWtsLPzxj/CnP7n5CLLP8vPdZJDkZK8jiS5KBkVERERqKTERUlKUDNbJ+PHQrRu88YYrD/32Wxg40Ouo9t9RR8GcOXDTTfDcc66xzOTJXkcVdvLz3X5BjXUMLiWDIiIiIvvA59OewX1SXOxWzE4/HVq3dkng3XdDQoLXkdWfBg3cfsKZM12p6/HHw/XXw/bwHj8STHl5KhH1gpJBERERkX3g82llsNbmz4d+/dwA95tvdslSuM/k2JO+feGbb+DKK90MkoEDYelSr6MKC/n5Sga9oGRQREREZB8oGayll16CrCxYv96VTT7wAMTHex1V4CUluVEU48fDkiVwyCEwbpzXUYU8JYPeUDIoIiIisg/atoW5c+H7772OJESVlcHVV8OFF8KAAW4/3XHHeR1V8J16Kvzwg9tDeOaZrutoZaXXUYWkr75yC6ht23odSfRRMigiIiKyD/xj8E44wY3Fkx3k58OQIW5l7PrrYcoUaNHC66i8064d5OTAqFFuHuGwYeo2uouFC2HoUGjfHkaP9jqa6KNkUERERGQftGzpqh5LSlzes1ETHp2ffnJ75r76ypWIPvIIxMV5HZX3EhLg6adhzBj3i3PYYbB4sddRhYR161yvnbg4958mI8PriKKPkkERERGRfdStG7z/Pixb5hZ7Skq8jshjn3zimqWUlMDnn8P553sdUWgxBi6/HD7+2LXNHDAAZszwOipPFRTAiSfCr7/CxInQsaPXEUUnJYMiIiIidXDEEfDyy25u+siRUbwd7NVX3fJO27Ywaxb07+91RKErO9t1VG3c2M0nfO89ryPyRHm520Y5Z47rrZOV5XVE0UvJoIiIiEgdnXkmPPwwvP226w8SVax1HULPO8+tCn75pZsjKHvWqRNMnw69ernZi//+t9cRBZW1bvLG5Mmuevb4472OKLopGRQRERHZD9dfD5ddBg8+CM8+63U0QVJZCdde6zp+jBjhruzT072OKnw0bQqffurqJK+4Am6/3WVJUeCf/4RnnoFbboFLLvE6GlEyKCIiIrIfjIEnnnDNZC67zG0Li2gVFe4q/oknXEL46quQmOh1VOEnOdnNIrzkErj3XrjuuohPCMePh5tuguHD3SmL99TiSURERGQ/xcXBm2/CoEFwxhmuoWaPHl5HFQBlZW6D5Jtvwp13wt13u2xY6iYuDsaOhZQUeOwxKCx0y2axsV5HVu9mz3YVxf37u2azMVqSCgn6MYiIiIjUg7Q0+PBDaNgQTjoJNmzwOqJ6VlLi9ri9+SY89BD89a9KBOuDMa528o474PnnXcZUVuZ1VPVq1So4+WRo3tx14W3QwOuIxE/JoIiIiEg9adMGJkyA9evh1FOhtNTriOpJSYk7oQ8+cA1PbrzR64giizFwzz1u4+kbb8DZZ0dMQlhY6BLB4mL3ZkmzZl5HJDtSmeguSissy/O2eR1GwK3bVrnbecbFGFo3boDRu3wiQVFZaVm5sYiadojU9BqNNK0b661hiUxZWa4M7qyzYNQoePHFMF9AKy11K4KTJ8Nzz8HFF3sdUeT6y1/ckPrrroNzz4XXXnOlpGGqstJVFc+d6xLBbt28jkh2Fb6/XQGydHMlf3o4x+swguPLnN1uenxEb4b1bhX8WESi0BOfLuaxqYt//4AaXqORZMboo7wOQSRgzjwTFi6Eu+6Cgw5ynRPDUmmp2wQ5aZLb26ZEMPCuvdY16bnxRrd38OWXwzYhvO02N0rxscc0QiJUhedvVgC1TDE8dlZvr8MIuPkLFtDtoIOqvy6vtNw4bg65m4o9jEokuuRuKqZJwwTuPGn3t0p3fY1GovQGCV6HIBJQd9wBCxa46QsHHginnOJ1RPto+3aX1X74ITz1FFx6qdcRRY8bbnAJ4c03u04r//1v2DWVefllN4byT3+Cq6/2Ohr5PZ4mg8aYIcDjQCzwnLX2gRqOORO4G7DAHGvtOYGMKT0xhuxDIn9lLH3L4p3O01rL6PE/Ulha7mFUItGlsKScpimJnFLD35xdX6MiEn6MgRdegGXLXE+Q6dOhZ0+vo6qligoX9IQJ8OST8Oc/ex1R9PnLX1yd5ejRkJTkSnTDpN545kw3MWPwYPjXv8Im7KjkWTJojIkFxgDHALnAbGPMBGvt/B2O6QKMBgZaazcZY7TlNECMMaQkxlFQEhmblUXCQUFpGSlJKtAQiWQNGsC770LfvjB0qGuv37Sp11HthbVuOWfcOHj4YTcUXbxxyy1QVAR/+xs0agSPPBLymVVurus11Lq1+xWKj/c6ItkTL7uJ9gOWWGuXWWu3A28Aw3Y55lJgjLV2E4C1NtKaNIeUlKQ4Cku0MigSLIUl5aQkKhkUiXQtW7p9U+vWue1327d7HdEeWOtKFJ9/3tW53nCD1xHJX//q6iwffdQlhSGsqMiVQxcWukVln8/riGRvvEwGWwGrdvg6t+q2HXUFuhpjvjLGzKwqK5UASU2Mp0DJoEjQFJSUk6qVQZGo0Levy6+++AKuusrlXCHpb39zScdVV7kkRLxnjPuZXHih60j0+ONeR1Qja11/oe++c01Qu3f3OiKpDS+vQmpa4971T2Mc0AXIBloDXxpjelhrN+/0QMaMAkYBZGZmkpOTU+egCgsL9+v+4aKm86woKSa3JLLOP5p/npEqks41v6CIgo2lNZ5PJJ3nnkTLeYqAmxQwd64bJderF1x+udcR7eLf/3bJxgUXuPaPIV6OGFViYuDZZ2HrVtdttEkTN7MhhDzwgBuReN99bq6ghAcvk8FcoM0OX7cG1tRwzExrbRmw3BizCJcczt7xIGvtWGAsQFZWls3Ozq5zUDk5OezP/cNFTef5yi+zWbO5hOzsQd4EFQDR/POMVJF0rts/mUzXDm3Izt69m2gkneeeRMt5ivjdey/89BNccw306AFHHOF1RFXefhuuvNJdxT/3nEs+JLTExbkltxNOgIsuctPbjzvO66gAmDjRjZEYMSKMx6hEKS9f6bOBLsaYDsaYBGAEMGGXY94DBgMYYzJwZaPLghplFElJjKOgVA1kRIKhrKKS4rIKUpO0s14kmsTGwquvQqdObv/gypVeRwR8/rlbtjzsMLe0E6Yz7aJCYqLrSNS9O5x+OnzzjdcRsWgRnHMO9O7tSqG1oBxePEsGrbXlwJXAFGAB8Ja1dp4x5h5jzNCqw6YA+caY+cBnwE3W2nxvIo58aiAjEjzbqsa4qIGMSPRp1Ajef9/Ncz/lFNd0wzNz58KwYS47/fBDSE72MBiplbQ0+Ogj15b2hBNgyRLPQtmyxf36JCS4HFW/PuHH06sQa+0kYNIut925w78tcH3VhwRYalI8haXlWGsxeltHJKD8zZrUQCZ0GWMygWOBXkA6sBmYA3xsrV3nZWwS/g44wFX8nXyym8f26qvBX1FJ3LDBrQg2bAiTJ7t9aBIeWrSAKVNg4EBXKjpjRtBDqKx0oyiXLoWpU6Fdu6CHIPVABeFSLSUxjrIKS2l5pdehiEQ8JYOhyxhzkDHmbWA+MBKIB9ZVfR4JzDPGvG2M2X2zp8g+OPFE+Pvf4fXX3Ti/oNqyhYNvucXNAJg8Gdq2DXIAst+6dnWb9dauhaFDiSkpCerT33WXW0x+7DE48sigPrXUI12FSDX/RWlBSTlJ8bEeRyMS2Qqry0S1ZzAEvQg8BJxrrS3d9ZtV+9yHAc8DA4IbmkSa0aPhhx9c043eveGYY4LwpGVlMHw4yStXukTw4IOD8KQSEP36uSXm007joPvuc79AsYG/hhs/3r2RcfHFIdgVV/aJVgalmj8Z9F+kikjgFFY1a9LKYOix1va31r5dUyJY9f3t1tpx1lolgrLfjIEXXnD9QM46C5YFuk2etXDZZfDxx/x8ww1w9NEBfkIJuFNOgUcfpemXX8Jf/hLwp5s3D84/H/r3hzFj1DAm3CkZlGr+FYqCEnUUFQk0f5loipJBkaiXkuKab4C7rt+2LYBPdv/9ruXjHXew7vjjA/hEElTXXEPuaafBP/8JTz4ZsKfZtMn9jqamwjvvuOamEt6UDEo1f1dDdRQVCbzqPYPqJhoyjDGxxpjTjDGnGGPidrh9uJdxSXTo1MntHZw3z42QszYAT/Lmm24Y3Lnnwl//GoAnEC8tufxyGDrUDbGcNGnvd9hHFRXuV+eXX9xYylat6v0pxANKBqVa9Z5BlYmKBJy/HFtzBkPKf4FDgd7ANGNM56rbL/MuJIkmxx3nFu7eeisADWW+/houvNB1n9QwuMgUG+v2D/bq5aa/z51brw9/111uosW//uV+jSQyKBmUajs2kBGRwCooKSM2xpAUrz/DIaSltfZ2a+3dwNnAc8aYbG9Dkmhz001w5pmuoczHH9fTg65c6YbBtWjh6lFV2xe5GjaECRNc7fHJJ8P69fXysOPHw733ujEof/pTvTykhAhdhUg1/wpFofYMigRcYUk5KYlxmukZWhKNMYkA1trlwMnAjUAPT6OSqGKMW7jr1q2eGsoUFLikoLjYzQFo2rRe4pQQ1rq1Swg3bHAb/PZz5MSODWMCuB1RPKJkUKo1THStiLUyKBJ4BSXl6iQaeq4HGvu/sNYW4EZIXO9ZRBKV/A1lrIVTT92PhjL+TV7z5rna024ajRk1srLg5Zdh5kw3/6GOm1A3b3a/gykpahgTqZQMSrXEuFgS4mI0WkIkCApKy6ubNklosNbOtNau2+W2CmvtK17FJNGrc2e3/WvuXFeaV6dr+dtugw8+cFPBjzuu3mOUEHf66a6287XX4IEH9vnulZVw3nmwfDmMG6eGMZFKVyKyk7SkODWQEQmCQq0MhgVjTCPgauAQIGXH71lrj/UkKIkaxx/vBnvfdhv07QvX78sa9SuvwIMPug1eV1wRsBglxI0eDT/95H6Jund33UZr6a9/hYkTXcOYQYMCGKN4SlcispOUxDiViYoEQUFpGc1Sk7wOQ/ZuHBALvAsUexyLRKHRo+Hbb11jmd694aijanGnr792y4lHHumu5LU3OXr5N6EuXuxKhqdPh4MP3uvd3n8f7rnHNaDVewmRTcmg7CQlKU4NZESCoLCknI4Z+hMcBg4DfNZa/WEUTxgDL74Ihx3muox+8w20b7+HO6xe7TZ5tWzphsHFa3xN1GvQAN57zy0vDx0Ks2dDRsbvHr5wIYwc6bYdPvWU3kuIdNozKDtJTYzXnkGRICgsLSdFZaLhYBpwkNdBSHRLTXXX8uXlLs8rKvqdA4uLXffIggLXTXIPF/wSZVq1cr9Ea9fCGWdAWc3vb23Z4n6FkpLcOIkkFbBEPCWDspOUJJWJigTDVu0ZDBcXAi8YY8YYY+7c8cPrwCS6dOkCr74Kc+a4bYC7NZSx1n3jm2/cfsEemogiu+jXD559Fj7/vMYNqHqq9AEAACAASURBVJWVboTEkiWuYUybNh7EKEGnZFB2kqo9gyIBV1pewfbySlLVTTQc3Au0ATKBLjt8dPYyKD9jzBBjzCJjzBJjzC1exyOBdeKJrqnHK6/A44/v8s3HHnOjBP76VzdgXqQmI0e6RPDJJ91ewh387W9uQfmf/3TbTSU66EpEdpKaFKcyUZEA21ZaAaDREuFhBNDVWrvW60B2ZYyJBcYAxwC5wGxjzARr7XxvI5NAuu02+O47uPFG6NmzqqHMxx+7G047DW6/3esQJdQ9+KCbWXLZZW725IABvP8+3H23Wxm86iqvA5Rg0sqg7CSlKhm0dRxOKiJ7V1DVpCk1SY0dwsAyIFSbx/QDllhrl1lrtwNvAFoSinAxMfDf/8IBB7iGMis+/wXOOstd1L/0kjtAZE/i4uCNN1wd6GmnsfDz9dUNY55+Wg1joo3elpadpCTGU1FpKS6rIDlBvx4igeAvxVYDmbDwMjDBGPMvYP2O37DWfupNSNVaAat2+DoX6B/IJ7z22mv54YcfAvkUntu8eTPp6eleh7FXKSmwaBH0GFzEoTHbiOnaEE46aZ8eI1zOdX/pPH9HkyaUr8jlu8HDKI9LIi7OzbYMB5H+M+3duzePPfZYUJ5LVyKyE39Di8KSciWDIgHiL8XWnsGw4J+wdd8ut1ugY5Bj2VVN79/vVtZhjBkFjALIzMwkJyenTk9WWFhIbm4umzdvrtP9w0VFRUXYnGPXxI0sKOrITw160bakBEpK9un+4XSu+0Pn+ftWJPamuDiR7knLKC5uQnGYTFON9J9pbm4uOTk5FBYW1vlvdm3pSkR24k8Gt5aU0yzN42BEIpR/ZVBloqHPWtvB6xj2IBfX3MavNbBm14OstWOBsQBZWVk2Ozu7Tk+Wk5PD22+/Xaf7hpOcnBzq+t8oqO67D267jfuPf5VbPxrE6HPdYPp9ETbnup90njW7/Xa49154csiHXDH5ZLj05rCZMK+faf1RYbnspHplUE1kRAKmsNRtQVOZaOgyxqwyxow1xpxijGnodTy/YzbQxRjTwRiTgGt2M8HjmCQYJk1yV/LnnMMtH/6B4cPh5pth8mSvA5NwMW6cSwQvvhgu//AEV2J87bXwxRdehyZBpmRQdpKS6FYq/A0uRKT+Ve8ZVJloKOsHfA2MBFYYYz42xlxnjOnqcVzVrLXlwJXAFGAB8Ja1dp63UUnALV4M55wDvXrBs89iYgz/+Q8cfDCMGOG+LbInc+bAhRfCgAEwZgyY2Bg3r6RTJzeQftWqvT6GRA4lg7IT/8VpoWYNigTMb2WiSgZDlbV2rbX2eWvt6UAL4H5cw5b3qmb6PVE14y/R4zgnWWu7Wms7WWvv9TIWCYKCAjjlFNcN8t13ITkZgIYN4f333c3DhsHWrR7HKSErL8/9CqWnwzvvQKL/L1ijRvDee27f6Wmn7fP+UwlfSgZlJ/6L0wKViYoETGFpOfGxhsQ4/QkOB9bacmvtp9baG6213YCjgUXAVVUfIoFnrVvOWbgQ3noL2rff6dvt27vSv59/hvPOg4oKL4KUUFZW5saRrF3r3kto0WKXAw48EF5+Gb75xs0g1JixqKArEdlJdTKolUGRgCkoKSMlMQ6jYU4hyxhzpjGmeU3fs9ausNaOsdaeaK19ONixSZR64AEYPx4eeqhq0vzuBg+Gxx6DDz6AO+4IcnwS8q69Fj77DMaOhX79fuegYcPgzjvhxRfhqaeCGZ54RMmg7KShykRFAq6wpFydREPf34HVxpifjTHPGWNGGmPaeR2URKnJk+G22+Dss+G66/Z46BVXwKWXwv33w2uvBSk+CXlPPw3//jfceCOcf/5eDr7rLtdQ5pprYNq0oMQn3lEyKDuJj42hQXxsdbdDEal/haXlah4T4qy1XYGWwG1AMXADsNQY84sx5mVjzCWeBijRY+lSlwT27AnPPQd7qSgwBp58Eo44wnWKnD07SHFKyMrJgauughNOcAvMexUT48pFO3RwDWVycwMdonhIyaDsJiUpTmWiIgG0taRcYyXCgLV2vbV2nLX2KmttbyADGAMcAzzjbXQSFQoLXbcPY1yJaFXDmL1JSIC334bmzV3V35rdpk9KtFi2DE4/Hbp0cSvFsbG1vGN6umsos22be4DS0oDGKd5RMii7SU2MUwMZkQAqLCknTclgyDPOIcaYa4wx7+DGN5wFvIWb6ScSONbCRRfB/Pnw5pvQseM+3b1pU5gwwTUgHToUiooCFKeErC1b4OST3a/ShAmuYeg+6dYNXnoJZs1y9cdqKBORlAzKblKT4rRnUCSAVCYa+owxHwKrgX/iVgTHAl2ttX2stVdba8d5GqBEvocecu1B778fjjmmTg9x8MFuNei77+CCC6Cysp5jlJBVXg5nneW6y77zDnTuXMcHOu00uPVWeP5513lGIo6SQdmNKxPVnkGRQCkoKVMDmdB3AFAKLAeWAkustQXehiRR43//g9GjYfhwuOmm/Xqok0+Ghx92ZaN33llP8UnIu+46mDLFNQQdPHg/H+yee2DIELfxcPr0eolPQoeSQdlNSmIchSoTFQkIa61bGVSZaEiz1nYBDgM+AvoA7xhjco0xbxpjrjTG9PY2QolYy5e7hjHdu8MLL+y1YUxtXHed6zB6772uL4hEtiefdB833giX1Eerq9hYt8Tctq3bP6hNqBFFyaDsJjUpXmWiIgFSWl5JWYVVmWgYqKGBTA/gW+D2qs8i9WvbNtcwprLSTQVPSamXhzUGxoxxK0SXXKJpAZFsyhQ3EWLo0Fp2Dq2txo1dQ5mCAtdhVA1lIoaSQdlNSqK6iYoEiv+1pQYyoa+GBjKLgL/hykYf9DY6iTj+hjFz58Lrr0OnTvX68PHxrlS0fXvXYXTx4np9eAkBS5Y0ZPhwt1f01Vf3oXNobfXoAf/5D8yY4UpGJSIoGZTdpCXFUbi9nMpKdY0SqW/+EmyViYY2Y8xEYCMwDRgG/IjrINrIWjvQWnurl/FJBHroIXjrLdcwZsiQgDxFkyYwaZIbI3f88bB5s/YuR4rVq2H06J6kpcHEifW2qLy74cPdftZnn4VnNGEnEigZlN2kJMVhLRSVVXgdikjE8ZdgpyTqIizEfQmcCKRba4+y1v7VWvuZtbbE68AkAvkbxpx5JvzlLwF9qk6d3JiB1avh9tt7UFwc0KeTICgogBNPhKKiWCZNglatAvyEf/ubezfhqqvgq68C/GQSaEoGZTf+i1R1FBWpf/7XVapWBkOWMeZq4FFr7XRrbY1/CI0xiVXHieyfpUthxIh6bRizNwMGwCuvwPz5aRo5EebKy917CD/9BHfdNY+ePYPwpLGxrg61bVu3f3D16iA8qQSKkkHZjf8iVU1kROpfgb9MVA1kQllzYIkx5hljzDnGmD7GmK5Vn882xjwDLAaaeRynhLuCAreBzxjXnKNhw6A99emnw5//vJRx41zXSQk/1sJll8HkyW6ERL9+m4L35I0bw/vvQ2EhnHoqlKhoIlwpGZTd+PcybVUyKFLv/A1ktDIYuqr2Ax6CS/guxo2X+AmYBFwELAQOsdbe7lmQEv4qK90k+AUL4M03oWPHoIcwfHguV18Njz4KjzwS9KeX/XTXXfDcc3D77W50SNB17+5mlcyeDX/+s8tOJex4mgwaY4YYYxYZY5YYY27Zw3FnGGOsMSYrmPFFq9SqFQvNGhSpf4XVZaLaMxjKrLV51tqHrbV/tNY2s9YmWGszrbXHWGsftdbmex2jhLm//92Nj3j4YTj6aE9CMMYlgmee6VYHX3nFkzCkDp56ym3du/hiNxPeM6ec4rLSl16CJ57wMBCpK8+SQWNMLDAGOB7oBpxtjOlWw3GpwNXA18GNMHr5L1JVJipS//xvsjRMrO+e3yISNt5/311AjxwJ117raSgxMfDf/0J2Nvzf/7leNhLaxo+HK66Ak06Cp58OyjbTPbvzTpcU3nADfPKJx8HIvvJyZbAfsMRau8xaux14A9e+e1d/A/4BqBg5SPxlomogI1L/CkrKSYiLITFOyaBIVJo3D847D7KyXGt+z6/kITHRbVns1g1OO81V/Ulo+vxzOOcc6N/fVRfHhcKOA/87Cgcc4JaZly3zOiLZB14mg62AVTt8nVt1WzVjzCFAG2vth8EMLNqlqExUJGAKSss1cF4kWuXnw9Chbgjcu+9CgwZeR1StUSP46CNo1syNOfzpJ68jkl3Nnu1WAzt2hA8/hORkryPaQWqqW/G21v2OFxR4HZHUkpdXJDW9FVa989QYEwM8Cly41wcyZhQwCiAzM5OcnJw6B1VYWLhf9w8XezrPyqoNwHMXLiGnYmUQo6p/+nlGnnA/12UrS4itrNzrOYT7edZWtJynCGVlbmB3bq5b3mnd2uuIdtOyJUydCn/4Axx7LHz5pZtLKN6bN88l6U2bwscfg8/ndUQ16NwZxo2D445zq9/vvutWDSWkeZkM5gJtdvi6NbBmh69TgR5AjnElFM2BCcaYodbab3Z8IGvtWGAsQFZWls3Ozq5zUDk5OezP/cPF3s6z4WeT8TVvTXb2bts4w4p+npEn3M/1peWzaBpTSnb2oD0eF+7nWVvRcp4iXHcdfPYZvPgiHHaY19H8ro4dXbJxxBGur820aUEYYi57tGwZHHOMK+edOjXEfx5//KPrSnT11XDHHXDvvV5HJHvhZbo+G+hijOlgjEkARgAT/N+01m6x1mZYa9tba9sDM4HdEkEJjNSkeApLtWdQpL4VlpaTmqhOoiJR5ZlnYMwY12Djggu8jmavund3s+vy8lwSsmGD1xFFr9xcl5SXlrrmPh5MINl3V14Jl1wC990Hr7/udTSyF54lg9bacuBKYAqwAHjLWjvPGHOPMWaoV3GJk5IUpz2DIgFQUFJe3aRJRKJATo67OB4yBB580Otoaq1vX/jgA1ixwiUjeXleRxR9Vq+GwYPdf/uPPoIePbyOqJaMcW9+DBoEF12kjkQhztNCXmvtJGttV2ttJ2vtvVW33WmtnVDDsdlaFQyelMS46uHYIlJ/CkrKq2d5ikiEW7IETj8dunSBN96A2PDqIpydDRMmwOLFrvovX9M1g2bNGjjqKFi3DqZMgX79vI5oHyUkwDvvQPPmMGyYW+KUkKRdnVKj1CQlgyKBUFhaTqpWBkUi3+bNrvWjMW6JrVEjryOqk6OPdk0iFy1y/9640euIIt/atS4RXL3alesOGOB1RHXUtKn73S8sdB1Gt23zOiKpgZJBqVGqykRF6p21lsJSlYmKRLzy8t/mrY0fH/YtOY891iWECxaoZDTQ1q51q7C5ua40dOBAryPaTz16uFXxOXPg/POhstLriGQXSgalRq5MVA1kROpTcVkFFZWWFDWQEYlc1sK117qWnE8/7dpyRoDjjnOTAubPd+Wja9d6HVHk+eUXt81u1SqYNMn9OyKccAI88oh7Y+T2272ORnahZFBqlJoUT6HKREXqlf81pTJRkQj2xBOuecaNN7rmGRHk+OPdatWKFS7H/eUXryOKHD//7OY75ue78RER8h7Cb665BkaNgvvvh//8x+toZAdKBqVGKYlxbNvuVjFEpH5sVTIoEtkmTHDzBE89Naw6h+6LwYPdouevv7qVq8WLvY4o/M2d65K/0lLXfLZ/f68jCgBj4Mkn3aySUaPg00+9jkiqKBmUGvkvVrVvUKT++F9PKeomKhJ5vv0Wzj4bsrLglVcgJnIvsQYMgM8+g+Jit5r17bdeRxS+pk2DI4+EuDj44gvo1cvriAIoPh7GjYOuXV2X3QULvI5IUDIov0PJoEj9+61MVHsGRSLKqlVw8smQkeFWB5OTvY4o4A45BL78Eho0cMnMRx95HVH4eecd15CnaVP33/LAA72OKAgaNYKJEyExEU48ETZs8DqiqKdkUGrkb3ChJjIi9cf/etLKoEgE2bLFXdRu2+Yucps39zqioDnwQJgxw41RPPlkeOEFryMKH48/DsOHw6GHwldfQYcOXkcURO3buzdN1q1zvzhFRV5HFNWUDEqN/K3v1URGpP4UlGrPoEhE2b7d7Q9csMAt8/To4XVEQdeihStv/OMf4eKL4a67ND1gTyoq4IYbXMPZU06BTz5xC8pRp18/eO01+OYbGDHCjWMRTygZlBr5L1bHfLaEN2evZEXeNqxVMxmRfVVZaVm4bisvTV/B67NWAloZFIkIlZXwf//nNs+98IKr94tSqanw4YfuP8c997gRi4WFXkcVejZvdgth//wnXHWV2z7XoIHXUXnolFNc990PPnD/QXSd6QldkUiNDmqexrDeLZm2OI/PFv0KQPO0JA7r2ITDOvoY0MlH2ybJGGM8jlQktFRWWn7eUMDMpfnMWJbPrOUb2VTkykNbNkriwsPbk56sPYMiYW/0aLeycd99MHKk19F4Lj4enn/eLY7edJPrMvr++64iUGDRIhg6FJYtg2eecQ01BbjiCrfn9sEHoU0buPVWryOKOkoGpUYNEmJ5fMQhWGtZsqGQmcs3MnNZPtOW5PPeD2sAd2F7WCcfh3fKYEAnH63So/ntLYlW1lqW5W1j+tJ8ZizNY+ayjWzcth2A1o0b8MeDMunfwb2J0qZJ5DeVEIkKL70E//gHXHYZ3HKL19GEDGPg+utdQnjWWa6x6ltvwVFHeR2ZtyZOhHPOcT1TPv00gobJ15f77oPcXLjtNrcR9bTTvI4oqigZlD0yxtAlM5UumamMPKwd1lqW/lrIjGUbmbE0j5xFvzL+u9UAtPMlc3gnHwM6ZTCgo4+mqYkeRy8SGLmbipi+JJ/pS/OYsSyf9VtLAfcGSfYBTRnQ0afkTySSvfsudOoE//qXy4BkJ8ceC7Nnu5Wwo4+GO+6AO++E2FivIwuu7dvdQtcjj7juq++9B23beh1VCIqJcaXWU6e65WQlg0GlZFD2iTGGzs1S6dzMJYf+kjh3YZzPhz+u5fVZqwDompnC4Z0yOLyTj/4dfTRqoNI4CU8bCkqYsTSfGUvd7/nKja7zWUZKAod19DGws3sDpJ1PpdMiUSE/35W0RVt2sw86d4ZZs+DKK90+wpwcV1XbqpXXkQXHsmVu7OSsWXD55S4hTEryOqoQlpAALVu615YElZJB2S8xMYYDm6dxYPM0LvpDByoqLfPWbOGrqlWTN2av5MXpK4gxcHCrRgzolMHAzj6y2jWhQYL+JyqhaUtxGV8vc4nf9KV5/LzedUJIS4qjf0cfFw1sz+GdM+jSLEXJn0g0ys+H7t29jiLkpaTAiy+6TqOXXeYGqj/3nOsbEqmshddfd+drDLz9tpuvLrWQkaFk0ANKBqVexcYYerZOp2frdC7L7kRpeQU/rNxcfVH93JfLePrzpcTHGg5p25iBnTI4vLOPXq3TSYhTc1vxRtH2cr5Zsal639/c1VuotJAUH0Pf9k049ZDWDOzso3vLRsTGKPkTiXp5eeDzeR1F2Bg5Evr3dxMETj3VfX7iCTdsPZKsWeOSwAkTYMAAtxKqBjr7wOeD5cu9jiLqKBmUgEqMi6V/R1cmet0xXdlWWs7sFRurLrrzeeyTn3l0KjSIjyWrfePqZjQ9WqYRF6vkUAKjtLyC76vepJi5NJ/vV22irMISF2M4pG06Vx7VhYGdfPRum05inFawRWQH1sLGjUoG91HXrvD1165p5D33uO1hTz7pxlCEe4GFtW4F9LrroLTUlYRec42qiPeZz6eVQQ8oGZSgapgYR/YBzcg+oBkAm4u2M7OqGc2MZfk8OHkhAKmJcfTt0KS6EUe3lmlakZE6215eyZzczcxYms/MZfl8+8smSssriTHQo1UjLhrYgcM7Z9C3fWOSE/RnUUT2YMsWNzlcyeA+i4+H2293ZaIXXeRWCP/zHzd3r1s3r6Orm++/d0ng55/DEUe4MtguXbyOKkz5fG4YY0WFMukg0lWPeCo9OYEhPZozpEdzAH4tKGVm1V6tr5fl8+nCDQCkJsXRr30T+lfNOezWQiuH8vv85clfL9/I18td8ldSVokxbobmuf3bcXgnH307NFFjIwlpxpi7gUuBX6tuutVaO6nqe6OBi4EK4Gpr7RRPgow2/pWLjAxv4whjPXrA9OkwZgzcfTf07OnKK+++O3xy7HXrXGL7wgsu5qefhksvdY0xpY4yMtwy66ZNen0FkZJBCSlNUxM5uVdLTu7VEoD1W0uYucyVlH69fCOfVCWHKYlx9GnXmH4dmtCvQxN6tm6kcr4otq20nO9WbmLW8o3MWr6RH1ZtprTcJX8HNk9jRN+2DOjko3+HJqQnJ3gdrsi+etRa+/CONxhjugEjgO5AS2CqMaartbbCiwCjSl6e+xwuWUuIiotzpZTnngt33QX//je88grccIPrQJqe7nWENcvLg8cfdx8lJW6u4u23h268YcX/msrLUzIYREoGJaRlpiUxrHcrhvV2vajXby1xqz3L8pm9YiMPTVkEQEJcDL1aNyKrfRP6tm9Mn7ZNaJSsFZ9ItWFrCd/8solvVmzim182Mm/NVioqbXXZ53mHtaN/1RsFSv4kQg0D3rDWlgLLjTFLgH7ADG/DigL+lUElg/UiI8OtEF52GYwe7WYSPvSQSwivvTZ0msysXev2Aj79NGzb5jqE3n+/SkLrlf81pX2DQaVkUMJKZloSQ3u1ZGjVyuHGbduZvWIjs5dv5JtfNvHsF8t4KscC0LlZCi3iS1nfcCWHtm1Mp6YpxGjfYdgpq6hk4doCvlu5ie9WbuKrRUXkTf4EcN0+e7VO589HdqRfBx992jUmJVF/1iTiXGmMOR/4BrjBWrsJaAXM3OGY3KrbJNCUDAZEjx7wwQfwww9w330u0Xr0UTjrLLj4Yhg4MPiNZior3XzE55+Hd96B8nI3O3D06PDd4xjSlAx6QldNEtaaNEzguO7NOa6723NYvL2CObmb+WbFRr5buZmvlxby5TtzAdeUpmebRvRuk06v1un0apNOZpomwIYSay2rNhYzJ3czc1Zt5odVm5m7egul5ZUAZKYl0j4thj8f1ZU+7RrTvWUjjSSRsGeMmQo0r+FbtwFPAX8DbNXnR4CLgJoui+3vPP4oYBRAZmYmOTk5dYqzsLCwzvcNJ3s7z9YzZ9IZmLZwIeWrVwctrkAI1Z/p5ZfDSSclM25ca956qxkvvhhHmzZFHH/8WgYOzKNNm+J9Sgz35TythRUrkpk2rSmTJzdnzZoGpKSUccIJ6zn99FxatSphwwbYsKFu5xZIofrzrK2kdes4DFg4bRrr0tL2eGy4n2ttBeM8lQxKRGmQEMthVR1IAT777DPa9ujL9ys388OqTXy/cjNPf76Mikp3zdQsNZGerRvRo1UjerRsRPdWaTRPS9Ig8SCw1rJyYxHz1mzlp9VbmFv1sbmoDHClvwdXlXz2bpPOoe0a07JREp9//jnZgzp6HL1I/bHWHl2b44wxzwIfVn2ZC7TZ4dutgTW/8/hjgbEAWVlZNjs7u05x5uTkUNf7hpO9nufUqRATwx9OPDHsu4WE+s/0/PNdSea4cfDcc8mMHduJsWM70akTnHQSHHcc9O279+1lezvP9eth1iyYPBkmToRffnG3Dx7sSlZPPTWeBg1a415moSvUf557VVAAwIFNm3LgXs4j7M+1loJxnkoGJaIZY+jUNIVOTVM4o4/7I168vYL5a7fwY677mJO7mU8WbsBWvafua5jAQS3SOLB5qvvcIpVOTVNIileDmrraVlrOz+sLWLiugIVrt7JgXQEL1m6loKQcgLgYQ5fMVIZ0b87BrRvRq3U6XTNTteonUc8Y08Jau7bqy1OBn6r+PQF4zRjzT1wDmS7ALA9CjD75+dCkSdgnguGiYUO48EL38csvLlmbOBGeecY1cQFo2xYOPdSVmrZoAS1bus9paa60dOXKZBYscFML1q51H2vWwNy58N134F/gTU6Go4+GW2+FE06A1qGd+0WelBQ3f0RlokGlZFCiToOEWPq0a0Kfdk2qb9tWWs6CtVuZt2Yr89ZsYeG6Al6e+Ut1eWKMgXa+hnRulkLXzBQ6ZqTQqVkKHZs2JC1JjWrArfRt3LadZXnbWPZrIUt/3cbP6wtYvL6Q1ZuLq49LSYzjwOapDOvd0q3GtmxEl0wl2yK/4x/GmN64EtAVwJ8ArLXzjDFvAfOBcuAKdRINkvx8dTr0SLt2roT08suhqAhmznTJ3HffwbffwoQJbp/f7vrtdktsLHTt6lb/Dj3UffTvD0naPeIdY9xrS8lgUCkZFAEaJsaR1b4JWe1/SxArKi3L87axcN1Wfl5fyJINBfy8vpDPFm6gvPK3rTkZKYm08yXTrkkybX3JtPMl0yo9mVaNG9A8LYnYCGpas728knVbSsjdXETupmJW5hfxy8YiVuZvY0V+EVuKy6qPTYiLoVPTFLLaN+aczLZ0bpZCtxZptEpvoEY+IrVkrR25h+/dC9wbxHAEXNt7NY/xXHIyHHWU+/CrqHB7+dascR/btrnb58+fT7du3UhN/W3VsGlTzTUPST7fb+NbJCiUDIr8jtgYQ+dmKXRulrLT7WUVlazcWMTSDYXVq2C/5BcxY1k+47/fuZlAXIwhMy2J5o2SaJ6WRGZaEplpifhSEslISSAjJRFfSgLpDRJIio/xZK+itZZt2yvYXLSdjdu2k1dYSl7Bdn4tLGXD1hLWbS1h3dZS1m8pYX1BSXU5Lbj/Ri3Tk2jva8hJPVvQsalbLe2UkUKrxg0iKhEWEQHcqkX79l5HITWIjXWJXosW0KfPb7fn5GwgO1vtP8OCz6eVwSBTMiiyj+JjY6r3Ie6qpKyC3E3FrN5czOpNxazeXMTazS6hWrB2K58t2kDR9poruRLiYmicHE9qUjwpiXHVHw0SYkmKjyEpPpak+FjiYwxxsTHExRriYgwGw5LlZSyOWYbFUlZhKa+wVFRWsr3CUlJWUf1RtL2CwtJytpWWU1BaztbicrYUb6esosYmzv+cKgAAIABJREFUhKQmxdG8Kpnt0iyDVukNaNW4Aa2rPrdMb0B8rPbNiEgUyc/fOdMQkfrj88HChV5HEVWUDIrUo6T42BpXE/38q3D5haXkFZbya8F2NhdtZ1NRGZuLt7N5WxkFpWUUllZQWFLGhoISissqKN5eSWlZBSXlFb+buLFowW43JcTGkBgfQ4OqRLJBfCypSXE0bphA6ybJpCXF0zg5nvTkeNIbJNCkYQIZqYn4GrpVywYJqqEREalmrSth055BkcDIyFCZaJApGRQJImNM9YpfO1/DOj2GtZaKSkt51QfAl19+yaBBgwBXmhofG6MSTRGR+lZUBKWl2jMoEig+H2zc6N540ZivoFAyKBJmjDGuRHSHRbsGcS7JFBGRAPLvZVIyKBIYPh+Ul8PWrdCokdfRRAVt9hERERGpDX8yqDJRkcDwv7bURCZolAyKiIiI1IZ/L5NWBkUCw//a0r7BoFEyKCIiIlIbKhMVCSz/a0srg0GjZFBERESkNpQMigSWksGgUzIoIiIiUhv+C9QmTbyNQyRSac9g0CkZFBEREamNvDzX4TA+3utIRCJTejrExGjPYBApGRQRERGpjfx8lYiKBFJMDDRurJXBIFIyKCIiIlIbSgZFAs/nUzIYRJ4mg8aYIcaYRcaYJcaYW2r4/vXGmPnGmB+NMZ8YY9p5EaeIiIgIeXmaMSgSaBkZKhMNojivntgYEwuMAY4BcoHZxpgJ1tr5Oxz2PZBlrS0yxlwG/AM4K/jRioiISNTLz4eDDvI6ioApKysjNzeXkpISr0OpV40aNWLBggVeh1GvkpKSaN26NfGRuH/V54OVK72OImp4lgwC/YAl1tplAMaYN4BhQHUyaK39bIfjZwLnBTVCEREREb8ILxPNzc0lNTWV9u3bY4zxOpx6U1BQQGpqqtdh1BtrLfn5+eTm5tKhQwevw6l/Ph98/73XUUQNL8tEWwGrdvg6t+q233Mx8FFAIxIRERGpyfbtUFAQ0WWiJSUl+Hy+iEoEI5ExBp/PF3EruNUyMrRnMIi8XBms6S+NrfFAY84DsoAjf+f7o4BRAJmZmeTk5NQ5qMLCwv26f7jQeUaWaDlPiJ5z1XmKhJgoGTivRDA8RPTPyeeD4mIoKoLkZK+jiXheJoO5QJsdvm4NrNn1IGPM0cBtwJHW2tKaHshaOxYYC5CVlWWzs7PrHFROTg77c/9wofOMLNFynhA956rzFAkxUZIMhpv33nuPrl270q1bt3p7zOzsbB5++GGysrI44YQTeO2110hPT//d4++77z5uvfXW6q8PP/xwpk+fXm/xRB3/ayw/X8lgEHhZJjob6GKM6WCMSQBGABN2PMAYcwjwDDDUWrvBgxhFRERElAyGqPfee4/58+fv9bjy8vI6Pf6kSZP2mAiCSwZ3pERwP+2YDErAeZYMWmvLgSuBKcAC4C1r7TxjzD3GmKFVhz0EpADjjDE/GGMm/M7DiYiIiASOv9V9BO8Z9NqKFSs46KCDuPTSS+nevTvHHnssxcXFACxdupQhQ4bQp08fBg0axMKFC5k+fToTJkzgpptuonfv3ixdunSnx7vwwgu5/vrrOfHEE7n55puZNWsWhx9+OIcccgiHH344ixYtAqC4uJgRI0bQs2dPzjrrrOrnBGjfvj15VT/7U045hT59+tC9e3fGjh0LwC233EJxcTG9e/fm3HPPBSAlJQVwjV5uuukmevTowcEHH8ybb74J/FYRccYZZ3DggQdy7rnnYm2NO6Wik/81pvESQeFlmSjW2knApF1uu3OHfx8d9KBEREREdhVtK4PXXgs//FC/j9m7Nzz22B4PWbx4Ma+//jrPPvssZ555Ju+88w7nnXceo0aN4umnn6ZLly58/fXXXH755Xz66acMHTqUk046iTPOOKPGx/v555+ZMGEC6enpbN26lS+++IK4uDimTp3KrbfeyjvvvMNTTz1FcnIyP/74Iz/++COHHnpojY/1wgsv0KRJE4qLi+nbty+nn346DzzwAE8++SQ/1PDfavz48fzwww/MmTOHvLw8+vbtyxFHHAHA999/z7x582jZsiUDBw7kq6++4g9/+MM+/geNUFoZDCpPk0ERERGRsBBtyaBHOnToQO/evQHo06cPK1asoLCwkOnTpzN8+PDq40pLa2wjsZvhw4cTGxsLwJYtW7jgggtYvHgxxhjKysoA+OKLL7j66qsB6NmzJz179qzxsZ544gneffddAFatWsXixYvx7eH3Ydq0aZx99tnExsaSmZnJkUceyezZs0lLS6Nfv360bt0agN69e7NixQolg35KBoNKyaCIiIjI3vibWTRo4HUkwbGXFbxASUxMrP53bGwsxcXFVFZWkp6eXuPq2940bNiw+t933HEHgwcP5t1332XFihU7Na/aW3fOnJwcpk6dyowZM0hOTiY7O3uvox32VPq563nWdU9jRFIyGFReNpARERERCQ95eVoV9EhaWhodOnRg3LhxgEuy5syZA0BqaioFBQW1epwtW7bQqpUbaf3iiy9W337EEUfw6quvAvDTTz/x448/1njfxo0bk5yczMKFC5k5c2b19+Lj46tXGXd0xBFH8Oabb1JRUcGvv/7KF198Qb9+/f6/vXsPj6q69z/+/hIuiVzFAFqgJq1AIRASQQUiGLxgqhUUuXm8QL1QUKgcDuWiP5QKtgJP0VovPCpUeg5VLBwLeigoxQgUAbnaAHJRA4JUbgICIias3x9rJw0hBITJTDLzeT3PPOzZe+2Z9WWSrPnutfZaZxd0LKtSBWrV0j2DYaJkUERERORM9u1TMhhB06dPZ8qUKbRu3ZqUlBRmz54NQJ8+fZg4cSLp6emnTCBT3PDhwxk1ahQZGRnk5+cX7h84cCCHDx8mNTWVCRMmlJiwZWVlkZeXR2pqKqNHj6Zdu3aFx/r3709qamrhBDIFbrvtNlJTU2ndujXXXnstEyZM4OKLLz6f/4bYcdFF6hkMEw0TFRERETkTJYNlLikpiZycnMLnw4YNK9xOTk5m3rx5p5yTkZFx2qUlCnr/CnoO27dvz+bNmwuPjx07FoCEhARef/31El8jNze3cPtvf/tbiWXGjx/P+PHjC58fPnwY8ENPJ06cyMSJE08qn5mZedIQ1eeee67E141pSgbDRj2DIiIiImeyd6+WlRAJl8REDRMNEyWDIiIiImeinkGR8FHPYNgoGRQREREpTX4+fPWVkkGRcFEyGDZKBkVERERKc+AAOKdkUCRcLroIDh2CEmZpldBSMigiIiJSmoJ7l3TPoEh4FPyuqXewzCkZFBERESlNwRdS9QyKhIcWng8bJYMiIiIipVEyGBa5ubm0bNkyJK+VnZ3N0qVLv/ex8mTt2rXMnTs30tWIDCWDYaNkUERERKQ0GiZa4ZxrMpiXl1eW1TpreXl5sZ0MFvyuaXmJMqdkUERERKQ06hkMm/z8fB544AFSUlLo0qUL33zzDQCffPIJWVlZtGnTho4dO/Lxxx8D8NZbb3HVVVeRnp7O9ddfz5dffklubi6TJ0/m6aefJi0t7aTEr/ixxYsX069fP4YOHUrnzp0ZMWIEK1asoEOHDqSnp9OhQwc2bdoE+EXsu3fvTlZWFk2aNGH48OGFde7Xrx8tW7akVatWPP3004BfXH7IkCF06NCBli1bsmLFCgD279/PrbfeSmpqKu3ateOjjz4CYMyYMfTv358uXbpwzz338NhjjzFjxgzS0tKYMWNGeD6A8kI9g2FTOdIVEBERESmXnIPZs+Hll6F6dahZM9I1CpshQ2Dt2tC+ZloaPPNM6WW2bNnCa6+9xssvv0yvXr2YNWsWd911F/3792fy5Mk0adKE5cuX8+CDD7Jw4UKuvvpqli1bhpnxyiuvMGHCBH73u98xYMAAatSowbBhw/j6668LXz8pKemkYwBTpkxh8+bNLFiwgLi4OA4dOsSiRYuoXLkyCxYs4JFHHmHWrFmAH7q5Zs0aqlWrRrNmzRg8eDC7d+9m586d5OTkAHDgwIHC9zty5AhLly5l0aJF3HvvveTk5PD444+Tnp7OX//6VxYuXMg999zD2uA/e9WqVSxZsoSEhAReffVVVq5cyXPPPRfKj6FiSEyEypXh2WehcWO48UYwi3StopKSQREREZGinIP582H0aFi5Epo2hRkz9GU0DJKTk0lLSwOgTZs25ObmcvjwYZYuXUrPnj0Ly3377bcA7Nixg969e7Nr1y6OHz9OcnLyOb1vz549iYuLA+DgwYP07duXLVu2YGZ8V2R5g+uuu47atWsD0KJFC7Zt20ZKSgqffvopgwcP5uabb6ZLly6F5e+44w4AOnXqxKFDhzhw4ABLliwpTC6vvfZa9u3bx8GDBwHo2rUrCQkJ5xRDVElIgNdeg1/9Cn76U8jIgHHjIDMz0jWLOkoGRURERACco+6KFTBqFCxbBklJ8Mc/wl13+V6KGHKmHryyUq1atcLtuLg4vvnmG06cOEGdOnUKe8+KGjx4MEOHDqVr165kZ2czZsyYc3rf6tWrF26PHj2azp078+abb5Kbm0tmkQSkeP3y8vK48MILWbduHfPnz+f555/njTfeYOrUqQBYsQsIZoZz7pT3LyhXtB4xr0cP6NoVpk71iWDnznDNNXCOn7GUTPcMioiISGxzDubOhfbtSR0xAr74Al58ETZtgn79Yi4RLG9q1apFcnIyf/nLXwBwzrFu3TrA9+I1bNgQgGnTphWeU7NmzZOGhxZV2rHir/nqq6+esX579+7lxIkT3H777YwdO5bVq1cXHiu412/JkiXUrl2b2rVr06lTJ6ZPnw74yWwSExOpVavW965nTKhaFQYMgK1b/RWKzZuhc2fSHn4Y/v53/7sr50XJoIiIiMSm/HyYORPatIGbb4Z//YtNQ4fCli3+C2jVqpGuoQSmT5/OlClTaN26NSkpKcyePRvwk6707NmTjh07klhkttdbbrmFN99885QJZIofW7x48SnvNXz4cEaNGkVGRgb5+flnrNvOnTvJzMwkLS2Nfv368dvf/rbw2IUXXkiHDh0YMGAAU6ZMKazzypUrSU1NZeTIkSclsUV17tyZDRs2xOYEMsXFx8PDD8Mnn8Czz5LwxRdw/fXQoQO89ZaSwvOgS10iIiISW44fhz//GZ56yvf+NWkCr7wCd9/NrqVLaaYkMCKSkpIKJ2EBCid4AX8v4bx58045p1u3bnTr1u2U/U2bNi2cpbN471rRYwAdO3Y86Xj79u3ZvHlz4fOxY8cC0K9fP/r161e4/+233y7cLtobWNTtt99+UnIIULdu3cJktqjiQ1zr1q3Lhx9+WOLrxqyEBBg8mOXNmtFp61aYONEPJW3VCkaOhF691JP/PalnUERERGLDgQMwfjwkJ8PPf+6/WM6YARs3wn33qSdQpII4UbUqPPigHzb6pz/5Xv4774TLLvPDSWN9eO33oGRQREREotvWrX6thMaNfe9BSgrMmwerV/uehGAWSZFQys7Opm3btpGuRnSrUgXuvhv++U+/DMyll8J//qf/XR8+HLZti3QNyz0lgyIiIhFmZj3NbL2ZnTCztsWOjTKzrWa2ycxuLLI/K9i31cxGhr/W5dyJEz7hu/lmvzTE88/Dbbf5xfPeeUfrlolEk0qV/HDR99+HFSv87/ekSfCjH/nf+4ULdV/haSgZFBERibwcoDuwqOhOM2sB9AFSgCzgBTOLM7M44Hngp0AL4I6grOze7e8j+slP/Ppkq1fD44/D9u1+OFnr1pGuoYiUpSuu8MO/P/sMRoyAxYvhuuugZUv4/e9h//5I17BcUTIoIiISYc65jc65TSUc6ga87pz71jn3GbAVuDJ4bHXOfeqcOw68HpSNTfn58O670Ls3NGrkh4c1aAD/8z9+mNjjj8Mll0S6liISTo0bw29+Azt2+PVCa9Tww8V/8AM/tPT99/0IghinZFBERKT8agh8XuT5jmDf6fbHlo0b/QLxSUnQpQssWAAPPQTr1/vegDvv1KQwIrEuPt6vF7p8uR8mfv/9MGcOZGbCj38Mjz3ml5OJUZp7VUREJAzMbAFwcQmHHnXOnTrPfHBaCfscJV/MLfGGGDPrD/QHaNCgAdnZ2WeubAkOHz58zueGUvyuXdTLzqb+e+9Rc8sWXKVK7L/ySv51773sy8jwswzu3u0f56C8xBkOxWOtXbt2xBc537ZtG7169WL58uVnVX7AgAFkZWVx6623nrZMfn5+xOMqC8eOHTvp84vln93vpUcPKv3sZyQuXszF77zDhU8+iY0dy6HmzdmdmcmezEy+rV8/pPU9V+H4TJUMioiIhIFz7vpzOG0H0LjI80bAF8H26fYXf9+XgJcA2rZt6zIzM8+hGn5mxHM997w4Bx9/7K/kz5oFBeuuXXUVTJqE/cd/cFGDBlwUoreLWJwRUDzWjRs3UrNmzchVCKhRowaVKlU663pUqVKFhISEUst//fXXEY+rLMTHx5Oenl74PJZ/ds9JVhY8+STs3AnTp1Nrxgxqvfgil734ol/M/vbb4ZZb/DqkERKOz1TDREVERMqvOUAfM6tmZslAE2AF8CHQxMySzawqfpKZORGsZ2h9842/B3DoUP9FrEULvySEczBhgp8YYtkyP4V8gwaRrq2EWF5eHn379iU1NZUePXpw9OhRnnjiCa644gpatmxJ//79cSXMDHm6MjfddBMjRozgyiuvpGnTpixevBjwPYbDhg2jVatWpKam8oc//AGAVatWcc0119CmTRtuvPFGdu3aFb7gJfwaNvT3Ga9a5YeLPvkkHDkC//Vffibi5s398ffeg2+/jXRtQ049gyIiIhFmZrcBfwDqAf9nZmudczc659ab2RvABiAPeMg5lx+cMwiYD8QBU51z6yNU/fN3/DisWQPZ2f6+v8WL/ZeuqlX9LIDDhsHPfuYnh5GwGDJkCGvXrg3pa6alpfHMM8+csdymTZuYMmUKGRkZ3HvvvbzwwgsMGjSIxx57DIC7776bt99+m1tuueWk80ork5eXx4oVK5g7dy6//vWvWbBgAS+99BKfffYZa9asoXLlyuzfv5/vvvuOwYMHM3v2bOrVq8eMGTN49NFHmTp1akj/L6ScuuwyeOQR/9i2Dd56y49KeOYZP0txQgJ06gQ33ADXXANpaVC5YqdTFbv2IiIiUcA59ybw5mmOPQk8WcL+ucDcMq5a6DkHn3/ul3z48EP4xz/8xA7HjvnjKSkwcOC/v2xVrx7Z+krYNW7cmIyMDADuuusunn32WZKTk5kwYQJHjx5l//79pKSknJIMvvfee6ct0717dwDatGlDbm4uAAsWLGDAgAFUDr7M161bl5ycHHJycrjhhhsA33t4iWaijU2XXgqDBvnHoUN+9tF33/WPYcN8merVoV07yMiAtm3h8sv9bKUVaA1TJYMiIiISeidOwJdfwqZN/p6/jRthwwbfA7hvny8TFwfp6TBggP8ydfXVcHFJc+xIuJ1ND15ZsWJfpM2MBx98kJUrV9K4cWPGjBnDsYKLB4Fjx46VWqZatWoAxMXFkZeXB4Bz7pT3cs6RkpLCBx98UBahSUVVq5a/f7DgAsTOnbBkib+YtWQJjBv372Uq6tf3PYYtWvghps2b++Gm9euXyyRRyaCIiIicndxc2LsXjh7199QcPQoHDsCePX7/nj1+Ta/t233vX9H7a6pX9wvB33qrv3repg20agUXXBCxcKR82r59Ox988AHt27fntdde4+qrr2bp0qUkJiZy+PBhZs6cSY8ePU46pyDxK61McV26dGHy5MlkZmYWDhNt1qwZe/bsKXz/7777js2bN5OSklJm8UoF1LChX9e0d2///MgRWLfO33e4erVfwmLxYn//c4H4ePjhD/2jYUOoVw8SE/2/der4v4UFj/r1fbkwUDIoIiIiZ2fAAJg/v+RjF1zgv9g0bOgTve7d/ZeZpk19EtiwIVTSvHVyZs2bN2fatGn84he/oEmTJgwcOJCvvvqKVq1akZSUxBVXXHHKOXXq1OGBBx4otUxx999/P5s3byY1NZUqVarwwAMPMGjQIGbOnMkvf/lLDh48SF5eHkOGDFEyKKWrXt3PQNqhw7/3nTjhL4pt3Ognptm+3T+2bYOFC/3Fs2I93IV69YIZM8JSdSWDIiIicnZGj/b3zxS9gl2njk8C1cMnIZCUlMSGDRtO2T9u3DjGjRt3yv5XX331jGXmzp1buLREYmJi4T2DlStXZtKkSUyaNOmk8mlpaSxatOg8ohDBX/y69FL/yMoqucyRIz4pPHTo5BEXYZwlWcmgiIiInJ1gUg8REQmB6tUjPkmWxmuIiIiIiIjEICWDIiIiIiIiMUjJoIiIiIgAfmkFKf/0OUmoKBkUEREREeLj49m3b58SjXLOOce+ffuIj4+PdFUkCmgCGRERERGhUaNG7Nixgz179kS6KiF17NixqEuc4uPjadSoUaSrIVEgosmgmWUBvwfigFecc08VO14N+BPQBtgH9HbO5Ya7niIiIiLRrkqVKiQnJ0e6GiGXnZ1Nenp6pKshUi5FbJiomcUBzwM/BVoAd5hZi2LF7gO+cs5dBjwNjA9vLUVERERERKJTJO8ZvBLY6pz71Dl3HHgd6FasTDdgWrA9E7jOzCyMdRQREREREYlKkUwGGwKfF3m+I9hXYhnnXB5wELgoLLUTERERERGJYpG8Z7CkHr7i01edTRnMrD/QP3h62Mw2nUe9EoG953F+RaE4o0usxAmxE6viPDuXhqoisWDVqlV7zWzbOZ6un8noEyuxKs7oEyuxnk+cZ9U+RjIZ3AE0LvK8EfDFacrsMLPKQG1gf/EXcs69BLwUikqZ2UrnXNtQvFZ5pjijS6zECbETq+KUsuCcq3eu58bKZxUrcULsxKo4o0+sxBqOOCM5TPRDoImZJZtZVaAPMKdYmTlA32C7B7DQafEbERERERGR8xaxnkHnXJ6ZDQLm45eWmOqcW29mTwArnXNzgCnAf5vZVnyPYJ9I1VdERERERCSaRHSdQefcXGBusX2PFdk+BvQMc7VCMty0AlCc0SVW4oTYiVVxSnkTK59VrMQJsROr4ow+sRJrmcdpGnUpIiIiIiISeyJ5z6CIiIiIiIhEiJJBwMxam9kHZvZPM3vLzGoVOTbKzLaa2SYzuzGS9QwFMxscxLLezCYU2R9tcY41s4/MbK2ZvWNmPwj2m5k9G8T6kZldHum6ni8zywo+t61mNjLS9QkVM4s3sxVmti74ef11sD/ZzJab2RYzmxFMQFWhmVkdM5tpZh+b2UYza29mdc3s3SDOd83swkjXMxTM7GEzywk+0yHBvqiMNVqojYyuONU+Rge1kdHXbkSsfXTOxfwDP7PpNcH2vcDYYLsFsA6oBiQDnwBxka7vecTZGVgAVAue14/GOIOYahXZ/iUwOdi+Cfgbfg3LdsDySNf1POOMCz6vHwFVg8+xRaTrFaLYDKgRbFcBlgef2RtAn2D/ZGBgpOsaglinAfcH21WBOsAEYGSwbyQwPtL1DEGcLYEc4AL8PesLgCbRGGs0PdRGRl2cah+j4KE2MrrajUi2j+oZ9JoBi4Ltd4Hbg+1uwOvOuW+dc58BW4ErI1C/UBkIPOWc+xbAObc72B9tceKcO1TkaXWg4ObYbsCfnLcMqGNml4S9gqFzJbDVOfepc+448Do+xgov+IwOB0+rBA8HXAvMDPZPA26NQPVCJuhl6YSfPRnn3HHn3AH85zgtKFbh4ww0B5Y554465/KA94HbiM5Yo4nayCiKU+1jdFAbGXXtRsTaRyWDXg7QNdjuiV/oHqAh8HmRcjuCfRVVU6BjMHzgfTO7ItgfbXECYGZPmtnnwJ1AwSy10RZrtMVzEjOLM7O1wG78l9BPgAPBH0qIjnh/BOwB/mhma8zsFTOrDjRwzu0CCP6tH8lKhkgO0MnMLjKzC/A9EY2JzlijidrI6IpT7WOUUBsZVe1GxNrHmEkGzWxBMA63+KMbftjLQ2a2CqgJHC84rYSXKtfTr54hzsrAhfhhBL8C3jAzowLGCWeMFefco865xsB0YFDBaSW8VLmPtRTRFs9JnHP5zrk0oBH+Km/zkoqFt1YhVxm4HHjROZcOHMEPBYk6zrmNwHj8l5Z5+GFbeaWeJGGhNjK62ki1j0D0xXMKtZHRI5LtY0TXGQwn59z1ZyjSBcDMmgI3B/t28O8roOB/2b4Ife1Cp7Q4zWwg8L/ODzxeYWYngEQqYJxwVp9pgT8D/wc8TgWNtRTRFk+JnHMHzCwb/yWtjplVDq58RkO8O4AdzrnlwfOZ+IbuSzO7xDm3Kxiqtfu0r1CBOOemEAz3MbPf4OOPylgrErWR0dVGqn0Eoi+e01IbGR3tRqTax5jpGSyNmdUP/q0E/D/8DbcAc4A+ZlbNzJLxN3KuiEwtQ+Kv+LHkBQ16VWAv0RcnZtakyNOuwMfB9hzgHvPaAQcLut8rqA+BJuZnD6sK9MHHWOGZWT0zqxNsJwDXAxuB94AeQbG+wOzI1DA0nHP/Aj43s2bBruuADfjPsW+wr8LHWaDI39sfAt2B14jSWKOF2sjoilPtY3RQGxl97Uak2seY6Rk8gzvM7KFg+3+BPwI459ab2Rv4H7o84CHnXH6E6hgKU4GpZpaDH+bTN7gCGm1xAjwV/OE4AWwDBgT75+LHYW8FjgI/j0z1QsM5l2dmg4D5+JnTpjrn1ke4WqFyCTDNzOLwF67ecM69bWYbgNfNbBywhuAqWgU3GJgefGH5FP9zWQk/TO0+YDv+Xq1oMMvMLgK+w/+t+crMniI6Y40WaiOjK061j9FBbWT0tRsRaR/N/50TERERERGRWKJhoiIiIiIiIjFIyaCIiIiIiEgMUjIoIiIiIiISg5QMioiIiIiIxCAlgyIiIiIiIjFIyaBIBJnZ4TMcr2NmDxZ5/gMzmxlsp5nZTefwnmPMbNj3r62IiEj4qI0UKXseATHkAAACIElEQVRKBkXKtzpAYUPnnPvCOVewmGwafk0oERGRWKQ2UuQ8KRkUKQfMrIaZ/d3MVpvZP82sW3DoKeDHZrbWzCaaWZKZ5QQLrz4B9A6O9S5+NTMolxRsP2pmm8xsAdCsSJkfm9k8M1tlZovN7CdhC1pEROQsqI0UKTuVI10BEQHgGHCbc+6QmSUCy8xsDjASaOmcSwMoaLicc8fN7DGgrXNuUHBsTEkvbGZtgD5AOv53fjWwKjj8EjDAObfFzK4CXgCuLZMIRUREzo3aSJEyomRQpHww4Ddm1gk4ATQEGoTotTsCbzrnjgIEDShmVgPoAPzFzArKVgvRe4qIiISK2kiRMqJkUKR8uBOoB7Rxzn1nZrlA/Pd8jTxOHvpd9HxXQvlKwIGCK6oiIiLllNpIkTKiewZFyofawO6gkesMXBrs/xqoeZpzih/LBS4HMLPLgeRg/yLgNjNLMLOawC0AzrlDwGdm1jM4x8ysdehCEhERCQm1kSJlRMmgSPkwHWhrZivxV0A/BnDO7QP+EdzoPrHYOe8BLQpujgdmAXXNbC0wENgcvMZqYAawNiizuMhr3AncZ2brgPVAN0RERMoXtZEiZcScK6lnXERERERERKKZegZFRERERERikJJBERERERGRGKRkUEREREREJAYpGRQREREREYlBSgZFRERERERikJJBERERERGRGKRkUEREREREJAYpGRQREREREYlB/x+vxAfPuVjiUgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# creating plot figure\n", "fig = plt.figure(figsize=(15,10))\n", "\n", "# Temperature plot\n", "ax1 = fig.add_subplot(221)\n", "ax1.plot(ebm_budyko.lat,ebm_budyko.Ts)\n", "\n", "ax1.set_xticks([-90,-60,-30,0,30,60,90])\n", "ax1.set_xlim([-90,90])\n", "ax1.set_title('Surface Temperature', fontsize=14)\n", "ax1.set_ylabel('(degC)', fontsize=12)\n", "ax1.grid()\n", "\n", "\n", "# Albedo plot\n", "ax2 = fig.add_subplot(223, sharex = ax1)\n", "ax2.plot(ebm_budyko.lat,ebm_budyko.albedo)\n", "\n", "ax2.set_title('Albedo', fontsize=14)\n", "ax2.set_xlabel('latitude', fontsize=10)\n", "ax2.set_ylim([0,1])\n", "ax2.grid()\n", "\n", "# Net Radiation plot\n", "ax3 = fig.add_subplot(222, sharex = ax1)\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.OLR, label='OLR',\n", " color='cyan')\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.ASR, label='ASR',\n", " color='magenta')\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.ASR-ebm_budyko.OLR, \n", " label='net radiation',\n", " color='red')\n", "\n", "ax3.set_title('Net Radiation', fontsize=14)\n", "ax3.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax3.legend(loc='best')\n", "ax3.grid()\n", "\n", "\n", "# Energy Balance plot\n", "net_rad = ebm_budyko.net_radiation\n", "transport = ebm_budyko.subprocess['budyko_transport'].heating_rate['Ts']\n", "\n", "ax4 = fig.add_subplot(224, sharex = ax1)\n", "ax4.plot(ebm_budyko.lat, net_rad, label='net radiation', \n", " color='red')\n", "ax4.plot(ebm_budyko.lat, transport, label='heat transport', \n", " color='blue')\n", "ax4.plot(ebm_budyko.lat, net_rad+transport, label='balance',\n", " color='black')\n", "\n", "ax4.set_title('Energy', fontsize=14)\n", "ax4.set_xlabel('latitude', fontsize=10)\n", "ax4.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax4.legend(loc='best')\n", "ax4.grid()\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can see that the latitudinal energy balance is statisfied. Each latitude gains as much heat (net radiation) as is transported out of it (diffusion transport). There is a net radiation surplus in the equator region, so more shortwave radiation is absorbed there than is emitted through longwave radiation. At the poles there is a net radiation deficit. That imbalance is compensated by the diffusive energy transport term." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Global mean temperature\n", "We use climlab to compute the global mean temperature and print the ice edge latitude:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The global mean temperature is 10.87 deg C.\n", "The modeled ice edge is at 56.00 deg latitude.\n" ] } ], "source": [ "print('The global mean temperature is %.2f deg C.' %climlab.global_mean(ebm_budyko.Ts))\n", "print('The modeled ice edge is at %.2f deg latitude.' %np.max(ebm_budyko.icelat))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The temperature is a bit too cold for current climate as model parameters are not tuned. Sensitive parameters are ``a0, a2, ai`` and ``Tf`` (albedo), ``A`` and ``B`` (OLR), ``b`` (transport) and ``num_lat`` (grid resolution)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 1 }