Relaxation Runge--Kutta tests for inner-product norms.ipynb 998 KB
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 "cells": [
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Relaxation Deferred Correction notebook"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook is an extension of the original [Relaxation Runge--Kutta Notebook](https://github.com/ketch/RRK_rr) provided by D. Ketcheson and H. Ranocha on the work of H. Ranocha, M. Sayyari, L. Dalcin, M. Parsani and D. I. Ketcheson on [Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations](https://doi.org/10.1137/19M1263480).\n",
    "\n",
Davide Torlo's avatar
Davide Torlo committed
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    "Here we use the Deferred Correction method as a Runge--Kutta method. The implementation of the Deferred Correction method as a Runge--Kutta method is included in [DeC.py](DeC.py) and explained in details in the work [Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes ](https://arxiv.org/abs/2106.05005) by R. Abgrall, E. Le Mélédo, P. Öffner and D. Torlo."
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Setup\n",
    "\n",
    "Note that this notebook was developed with NodePy version 0.7."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from nodepy import rk, stability_function\n",
    "from DeC import *\n",
    "\n",
    "rk4 = rk.loadRKM('RK44').__num__()\n",
    "rk4x2 = rk4*rk4\n",
    "ssp2 = rk.loadRKM('SSP22').__num__()\n",
    "ssp3 = rk.loadRKM('SSP33').__num__()\n",
    "ssp104 = rk.loadRKM('SSP104').__num__()\n",
    "merson4 = rk.loadRKM('Merson43').__num__()\n",
    "bs5 = rk.loadRKM('BS5').__num__()\n",
    "\n",
    "decEqRKs =[]\n",
    "decGLBRKs =[]\n",
    "for order in range(2,10): \n",
    "    A,b,c=compute_RK_from_DeC(order-1,order,\"equispaced\") # subtimesteps, iterations, nodetype{\"equispaced\",\"gaussLobatto\"}\n",
    "    decEqRKs.append(rk.ExplicitRungeKuttaMethod(A,b))\n",
    "    decEqRKs[order-2].name=\"DeC%dEq\"%(order)\n",
    "    A,b,c=compute_RK_from_DeC(np.int(np.ceil(order/2.)),order,\"gaussLobatto\") # subtimesteps, iterations, nodetype{\"equispaced\",\"gaussLobatto\"}\n",
    "    decGLBRKs.append(rk.ExplicitRungeKuttaMethod(A,b))\n",
    "    decGLBRKs[order-2].name=\"DeC%dGLB\"%(order)\n",
    "\n",
    "dec3 = decEqRKs[1]\n",
    "\n",
    "dec4equi = decEqRKs[2]\n",
    "\n",
    "dec4galo = decGLBRKs[2]\n",
    "\n",
    "\n",
    "\n",
    "#short_methods = [ssp2, ssp3, rk4, bs5, dec3]\n",
    "short_methods = [ ssp2, ssp3, rk4, dec3, dec4equi, dec4galo]\n",
    "#short_methods = [ dec3, dec4equi, dec4galo]\n",
    "short_method_labels = [\"SSPRK(2,2)=DeC(2)\",\"SSPRK(3,3)\", \"RK(4,4)\", \"Dec3\", \"Dec4equi\", \"Dec4GaLo\"]\n",
    "#short_method_labels = [\"Dec3\", \"Dec4equi\", \"Dec4GaLo\"]\n",
    "#short_method_labels = [\"SSPRK(2,2)=DeC(2)\", \"SSPRK(3,3)\", \"RK(4,4)\", \"Dec3\", \"Dec4equi\"]\n",
    "import os\n",
    "if not os.path.isdir('./figures'):\n",
    "    os.mkdir('./figures')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "font = {'family' : 'serif',\n",
    "        'weight' : 'normal',\n",
    "        'size'   : 25}\n",
    "\n",
    "import matplotlib\n",
    "matplotlib.rc('font', **font)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# line cycler adapted to colourblind people for only  a few 10\n",
    "from cycler import cycler\n",
    "colors = ['#E69F00', '#56B4E9', '#009E73', '#0072B2', '#D55E00', '#CC79A7', '#F0E442']\n",
    "linestyles = ['-', '--', '-.', ':', \"-\", \"--\", \"-.\"]\n",
    "markers = ['o','D','X','s','v']\n",
    "colourblind_cycler = (cycler(color=colors) +\n",
    "                      cycler(linestyle=linestyles))\n",
    "plt.rc(\"axes\", prop_cycle=colourblind_cycler)\n",
    "\n",
    "plt.rc(\"text\", usetex=True)\n",
    "plt.rc(\"text.latex\", \n",
    "       preamble=r\"\\usepackage{newpxtext}\\usepackage{newpxmath}\\usepackage{commath}\\usepackage{mathtools}\")\n",
    "#plt.rc(\"font\", family=\"serif\", size=14.)\n",
    "#plt.rc(\"savefig\", dpi=200)\n",
    "plt.rc(\"legend\", fontsize=\"medium\", fancybox=True, framealpha=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# line cycler adapted to colourblind people for all \n",
    "from cycler import cycler\n",
    "colors = ['#E69F00', '#56B4E9', '#009E73', '#0072B2', '#D55E00', '#CC79A7', '#F0E442','#F0E442']\n",
    "linestyles = ['-', '--', '-.', ':', \"-\", \"--\", \"-.\", \"--\"]\n",
    "markers = ['o','D','X','s','v', 'p','1','2','3']\n",
    "colourblind_cycler = (cycler(color=colors) +\n",
    "                      cycler(linestyle=linestyles))\n",
    "plt.rc(\"axes\", prop_cycle=colourblind_cycler)\n",
    "\n",
    "plt.rc(\"text\", usetex=True)\n",
    "plt.rc(\"text.latex\", \n",
    "       preamble=r\"\\usepackage{newpxtext}\\usepackage{newpxmath}\\usepackage{commath}\\usepackage{mathtools}\")\n",
    "#plt.rc(\"font\", family=\"serif\", size=14.)\n",
    "#plt.rc(\"savefig\", dpi=200)\n",
    "plt.rc(\"legend\", fontsize=\"medium\", fancybox=True, framealpha=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def RRK(rkm, dt, f, w0=[1.,0], t_final=1., relaxation=True, \n",
    "        rescale_step=True, debug=False, gammatol=0.1, print_gamma=False,\n",
    "        one_step=False, dissip_factor=1.0):\n",
    "    \"\"\"\n",
    "    Relaxation Runge-Kutta method implementation.\n",
    "    \n",
    "    Options:\n",
    "    \n",
    "        rkm: Base Runge-Kutta method, in Nodepy format\n",
    "        dt: time step size\n",
    "        f: RHS of ODE system\n",
    "        w0: Initial data\n",
    "        t_final: final solution time\n",
    "        relaxation: if True, use relaxation method.  Otherwise, use vanilla RK method.\n",
    "        rescale_step: if True, new time step is t_n + \\gamma dt\n",
    "        debug: output some additional diagnostics\n",
    "        gammatol: Fail if abs(1-gamma) exceeds this value\n",
    "        \n",
    "    \"\"\"\n",
    "    w = np.array(w0)\n",
    "    t = 0\n",
    "    # We pre-allocate extra space because if rescale_step==True then\n",
    "    # we don't know exactly how many steps we will take.\n",
    "    ww = np.zeros([len(w0),int((t_final-t)/dt*2.5)+10000])\n",
    "    ww[:,0] = w.copy()\n",
    "    tt = [t]\n",
    "    ii = 0\n",
    "    s = len(rkm)\n",
    "    b = rkm.b\n",
    "    y = np.zeros((s,len(w0)))\n",
    "    max_gammam1 = 0.\n",
    "    gams = []\n",
    "    \n",
    "    while t < t_final:\n",
    "        if t + dt >= t_final:\n",
    "            dt = t_final - t # Hit final time exactly\n",
    "        \n",
    "        for i in range(s):\n",
    "            y[i,:] = w.copy()\n",
    "            for j in range(i):\n",
    "                y[i,:] += rkm.A[i,j]*dt*f(y[j,:])\n",
    "                \n",
    "        F = np.array([f(y[i,:]) for i in range(s)])\n",
    "        \n",
    "        if relaxation:\n",
    "            numer = 2*sum(b[i]*rkm.A[i,j]*np.dot(F[i],F[j]) \\\n",
    "                                for i in range(s) for j in range(s))\n",
    "            denom = sum(b[i]*b[j]*np.dot(F[i],F[j]) for i in range(s) for j in range(s))\n",
    "            if denom != 0:\n",
    "                gam = numer/denom\n",
    "            else:\n",
    "                gam = 1.\n",
    "        else:  # Use standard RK method\n",
    "            gam = 1.\n",
    "           \n",
    "        if print_gamma:\n",
    "            print(gam)\n",
    "        \n",
    "        if np.abs(gam-1.) > gammatol:\n",
    "            print(gam)\n",
    "            raise Exception(\"The time step is probably too large.\")\n",
    "        \n",
    "        w = w + dissip_factor*gam*dt*sum([b[j]*F[j] for j in range(s)])\n",
    "        if (t+dt < t_final) and rescale_step:\n",
    "            t += dissip_factor*gam*dt\n",
    "        else:\n",
    "            t += dt\n",
    "        ii += 1\n",
    "        tt.append(t)\n",
    "        ww[:,ii] = w.copy()\n",
    "        if debug:\n",
    "            gm1 = np.abs(1.-gam)\n",
    "            max_gammam1 = max(max_gammam1,gm1)\n",
    "            gams.append(gam)\n",
    "            \n",
    "        if one_step:\n",
    "            return w, gam\n",
    "            \n",
    "    if debug:\n",
    "        print(max_gammam1)\n",
    "        return tt, ww[:, :ii+1], np.array(gams)\n",
    "    else:\n",
    "        return tt, ww[:,:ii+1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introductory example (Ranocha's problem)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f_prob1(u):\n",
    "    E = u[0]**2 + u[1]**2\n",
    "    return np.array([-u[1],u[0]])/E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rc(\"font\", size=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Here, I have to run it again on an linux distribution! On my mac is need to much memory\n",
    "u0 = np.array([1.,0.])\n",
    "dt = 0.1\n",
    "t_final = 10.\n",
    "\n",
    "for i, method in enumerate(short_methods):\n",
    "    tt, uu = RRK(method, dt, f_prob1, w0=u0, t_final=t_final, \n",
    "                                            relaxation=0, debug=False)\n",
    "    plt.semilogy(tt[1:],uu[0,1:]**2+uu[1,1:]**2-1., lw=3, label=short_method_labels[i]);\n",
    "\n",
    "\n",
    "plt.xlabel('$t$');\n",
    "plt.ylabel('$\\|u(t)\\|^2-\\|u(0)\\|^2$')\n",
    "plt.tight_layout()\n",
    "plt.legend(bbox_to_anchor=(1.05, 1), loc='upper left')\n",
    "plt.savefig('./figures/problem1_energy_RK.pdf')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UFuVfADwOLce0lY0Kb/7dp6YqXL6oYlR7tjBxzT8dW8nktDitaHIL3vHCUbuU8O7HiHc3WaHIOXOet454535TmASCSAlq0WJsFWdYfbLvgexCX4newyjOKoSikhzK+H7iva1W+7HCVn567nWrLwByaVKSw03Yq87LmZtWtGRKGrRi88AEWszJLkhgisJECHEJJm9XGVAP9AMHgS1Sysemb3oFzCS+etUSPnVxI0eHoiiK4J73rhvV54Y1ddywpm7ccaIJHadteoXLyayZ6D3mYhYTdlzls7Cl/BGJ3hZkMnF8jt8pIBP+K7BVnHw29bS/xogG0Ye70YqqcoSJvaoxEyCgS2TcdDorrhpQXaBHrHtAGgkS/V3WuTIZJznQhq1sTm6dez1Bou8I9op5xzxfi9FX6tZ1jUQohx8rfX8aiSBGpNM87ySOtDoRmLQwSTEI3wJch+lvzGsoF0JITNbh26SULcc9wwJmFEUuG0WuqS1+dz5/mC89vJ+uQIzQrVdh16aHnUdKIyfE8mTTTC4uGSJ6BNTyeoSiZJzbhk6i73COs3umkOZyyt7l28rmoNhOPpt6diRZvKsJrajKWvgVTwmqtzTnO9MjpmNaCIHmbyQ5sNO6B/RgK0bYyBk/3tWErWxO3jr3UxEmaUZfPXAw67q5WmdayOhZ9+nJHGl1IjCpp18I8WFgC6Ym8nXgCswor4asv7XA5cBHMAXNI0KIm2dgzgWcJNAUQdtQlKQhOTwQnviEScIIt+c4JPVgC1KPT9v4xwuj11xYSmabPqSRi+VMYuOhftZ8+0mK/utBdnYEcq6ZPY+TCTl5LSkhMnLO2X2MSGaXr45g1tUDTemyHpkxU2ONJK48nt9iJKOvnqcue/ZxKGgmE2omQoifAE1SyslGdT1Kip5eCPFhIcQfU0W1CjiJkI9GQzckB/tCNPWGWFrlo9xjZ293kIYyNyXu0XWsV9cV8e61s2gs9+CxT5/7bZRZSxroocNo/gXTdo2pQho6iZTN3pZnIZxpYeLQFLa2maFKTb0hVtb6cyjmT0bYyueZRZ6kMWrhT8/ZVjbX6mOEM2G1mq+BGKZmIA3T7GSMFCYjBJTVfhy/hepvgPYMo29yhHacHG7KqYqYnutrGRPlmXwYuEdK+ehUBpdS3imEeEQIcauU8jNTmmEBM4LHm/q47tebaCz38H/XrWJ5jZ/OQJRFX38cgB+8eTnLqn1c8uPnAHjkprO4dGGu8/e0uiJ+/Y7jpW4bjXxmLTOa55UXJsmBNmTS1JLSC6FWXIOwu5DxyIzTujeWe7hiYQWN5R5mF7vQg/0YoQEgI9xONqSZihO9LcS7mjASMRJ9ZjJn+jsUmg3V70cfGkSPKqjuWUDWbt9IoIeOkBzchxHNHT/e1YTUk8R7DuW0J47jt1BHMPqO1ExkYggZ67M2PsJRhuIomfL1Xg2YaDv5iJTy0AR9xoWU8pAQ4uvHM0YB04+m3hB94QR9rYOWVlHjc+KyKUQSBk29oZzQ1PqyiWPmpwv5HO4ni99kw8bnmZd6HS0ys+WEENgrG4kd3TnjmkmRy8ZDN51lvY8cfNF6fbJqJmDOzRQmB0j0NEPK55NtmlM9dvQhMGI2Kwor2w+hB5qIde4aUVAcc8y+VtATI9qPw8w1gtF3pGYC5n1qRXK9xv0lMHGeSV5BkqKmT6doNk9EL1/g+Dr5sKDCw4fOnENzX5jZxWbYoaIIfvuONVR47Syu9BLXDf7yvnUc6AlZfU4E0g+o6mtAD7fnRPO80ug5vNcSJr7ahVa7vSolTE5wwans653UwqSykdDLjxDvbiLeOZoWH0BxmrQqRli3zLDZfojkcFMObb5zzmlEW7cR7z5IvHN/3nZpGAjl2AND1BGMvhabb8lKkgMmC0Ey0GTdl691fwkcWzTXacBngGvzHAPTQf8TKeXPpmtyBcwcLm4stzKos/GWlTU579+8wjXuOE29ITYfGaQ3FOdfz5uesNR0JJfmX4DQ3KlonoMTnHViUJsww0OTQsNbNc9qTy+K8W7Ttj+V/IapICfENosm5WSDFR4cHiLS/MKodikNhGYGFMhEEj3Qg+avNM1dih2MOPrwfhJ9Hda5nhXribZuQ8YjhPc/Pbo9ESU52I6tdNYxz1fzZhh9k4O70VNcYY7aKzLCZGCXRcBY0EwmH821GlNYvA3Twf4N4NNZf98ADgHfEEIcmM6iWhPM60YhhBzj754TMYfXOu58/jDX/3YLn/j7yyR1Y+ITJoCUMlNtLqsG9smimSxWzBwHd3VDjsDI5EkkLH/ATGEgHOeJpl7+7/nDRDrMHblWUoficE9w5iuHbA0kuONBABSnD9Vn+uGMcAeKI2OmSmsvQlFRUzTssa4nMcJmxr7QbLgXnT9qTGFz4Fl8YWacKRYAE5oT1WOSdsY6NpC2rWklK1BS/hyz3URBM5m8ZnIbcLuU8tMTdRRC3Jjq/9HjmdgxYAuwKU/75hN0/dc0GstNX0pClxwdijKv9PgWNCPajUwGAdNuLTRXTjTPidrxjwUrCmmEs3tkRJd9BpMH79/Tzbt+bzId7XLvR3Bym7ggNzggzcllr2q0IgqTgSbULCU43t2Ee+G5gLnr14f2kuzbYkVy2crqcFQvHD1mRQP2rPZ4VxOeJRdPac4mo28ryb4Mh5jmb7RYfHPaC5rJpIVJ6WQECYCU8g4hxB+PY07Hij9KKW8/gdc75TEYSfC3XSbB48oaPz5n5jZoHQjz1UcOsLFlgMFIgveePpt3rK5jaXV+VuBrllVzxpxiGso8OXxRU0V21Izqa0SkV5hUNI/mm3fc15gqpGFYVB4jF+9R4cHLZ467LC3AwczG1zh5c0zSsFeONsFlz1kfbkLJFiZZ5jvN30gs3S8tTKoWmuHEippDu2+rajRr3Ksa6MnjzjWJd+QSeljacucTuX0LmsnkzFzk3/mPh+Jj7H88GDyB13pVYEf7MO+7axvn/e+zPHOoL+eYlHDH863s6gxwdCjKVx85QMs4CYmVPgeraoumRZBALv+R5m8cVSf7lURXewsybq5mtsrcnAKtZBYilX0+00745dU+HrrxTJo+sQYtYtZEOdk1E8XuQhvhu7BlzTkZaEIooKTiPLKFgBWmK7E0E0ftcoRmM3NYsmCvakSoGvZyUzM8nt9ipOlK2HwozopRgkPYihCOQoWNSYc5CCFWTbLfh6Y+nWNGMVAshPipEGIg5SvZLIS47ATO4ZRDU2/Iep29ywWYXeyiOovFVhGj+8wkLM1EKKjeeaPqZL+SeHFLxqzRruXylQlFwZZygM90eLDHoXHFokpqE51W28kuTGB806DlJ/Oa6km2EEgv3kYUKyw4beIapSGOSCSdjiz4NNQUxcvIuuyav3FGyjCcapjsdvJ2YJMQYgOwAZPYcTB1rBiz5kkDZqRXPdNUUGuS+AxwK/BhTDqXG4ENQoi3SSn/NLJzyqdzI8CcOXNGHn5N4J1r6zhnXglNfeFRPg5FEXR88QrrfTxpoCkn7kFJayaqZw5CdaB4ZoHiACP2imsmQ237rNdzFiwdddxe2Ui8fU8O1fpMIics+CQ3c4G5wIf3PpF5X5mrmQBoJeUkeo8Q7zqQCQ9OLd7Zme8W+0BlIyEeyrlG9v94V1NetofJYKRmkhZqIzWTkcLltYpJCRMpZbMQYh0m0eMd6easLulfagtwhZRy27TNcHw8AtwhpRxMvf9TKoprAyalyyhhIqW8g9RnWLdunRx5/LUAh6ayuMrH4klUR5wMeeO3njjIXdvasKsKz/7becc1t+xILgAhFDRfPcmhPa+4ZnKOd5AYIIWKv3o0dYa1gPVMPb/hWJC96x5pdjsZMZafKTuCz1Y+m8iBIxjhIfRQP5q3LMXiq2FEkqPOHWvMtLCR8TDJoU5sxbkh75OB6s3186TvyZEVFAv+EhOTvtullM1SypuklAqm5nEFJqnjdan3JVLKdVOlXpkKpJRbsgRJuu0RTKFWLIQoPlFzeS2jfTjKpiNDbD46hGFMXT5LKUkOm6Gc2Q9oeof4Smsm9qEW83/FvLw089bimIjlrcQ4nbh/Txf3P2NS3aj+KlTX9JZNnglkayLC7kJLLfDZEXyO6sVWn7SwFIpmsvimNRNVs3JHcoSJasNWOntU+1RNXYrNg5JVnyR9Tyo2L4qrOnPZgmYCTMzN5c+X3Z5VgfGECY5jxCZgzUhB81qBbkgCMXMX57apOdpFJKETSxoUObUxVX8pJXu7g0QSOgsrvHjsCjI+NsnB6ioblzYU01DmJBTqx64KQnEz58RrV9HUyZkYjPiAVXFO9TUipURK03Ydw0xmHBruQTcEPoeKOo75TUrJUFSnyKkihEDYixBCMBxNYEiwKQK3TSATZqJcUpcEU2VxPXYFm5r5zkIRg4SuE2k3zVxj+SeyF8voke0ozplb4Pv7etD6zMgyvdR0Nid1I+szqDmfIRxPEtdl6vcYew9pfm/JcftJI4FMhPIeGwkjoWOk8o+Euxwp3CDjOCrmI+NDSCDZnylq5Zi1Bvg5ALEjO3BUm8zMinMuRjilvZTWWCHi2d+5vWI+QjWXtOzfKHZ0J85ZKyY1X2FzotgzbA+ar5F4uN0s2JUlNFRfo1XHZDo0k7HC3sdqN2IhZDKRmrMDxT46uXgyfaYTE5m5bhJC3HM8dUlSCYy3SSmnNe9ECFE8jrCoxzSBvSbROhCh/mumnP/l9afx3tNnW8c++Y/d/PDZFq5ZVsV/XNjABQ2jo1Du3tbO9b81nc3vWVPFN5zvHFcruBS41A1EIPhneGj4DN5/+L8BeLDx46x0NY957liQnkbO+v4z/Pm96yhJP6x6lMu/8XNeCi+lSuvj/sb/pMbWP+rcpFR408Hb2BJZxOHlb8YmdLSyNZRf9Rxrv/MMTb0hblhZxndc12GETQ3ixdAS3tR8GwB/mPd5LvRtQ0oI7YJEb+749qr8hJP26kz7ke+88Zg/87FgTfabctPssrMjwJrvmKVq//r+07lmeWb3/Jn79/L9pw9R6bXzwsfOz5sPpBuSS368kaea+3nu38/jrLmjiQuTg3vpfeA8ZKxv1LF8GOx6P+GhjA+O2p+BEUVJfJuuP4we3zk3Yybt+MWNdPzixlF9sr9/W8V8i204u91ePs8KG+789b/S+et/ndR8hd3FrI/ehW/N1YCpFYc3PkXsKLgXNeFIVV3U/I0kup8x+xynZtL9ly/Q98A3qf3Qzyk6M0Ow3nPvl+i9/zZqP/hzis66PtP+1y/T89cvWvxmQrObfc55Z6bP379Kz18+DzIlyG0Oaj/4C4rOvuG45joexjVzSSm/AdwuhHjLVAYXQlwK3IPpa5lufEYIsWZkY8q0VQ/cNAPXPOVR6jbNM397uWtMf8hFjeXYUtrE+xrapsW8FDbsfKPrBv619T94cPjM8TsrNl5OLObF1kH6wnGOaOusQyHD3F3NsXdxMJafJuPlSD1bIuaOtiVmmlKSfVtI9GZIEfVwmyVIxoKMjxYkAO6Gs0Y3ArbS2WjFx1629XhRs/z8CftEEqbGEk0aPN2cXxDs6QrwVLMpnPd1B/OPc/hPkxYkY0JxknSM9q0pzkpspUtwzh2fidq96KLMOTYHznlmvI8r63cRmh3X/HUjT50QMh5h8NlfWe9t5WcRbwcMGH7pH1a7veJsAFTvPJRJ1nsfC4NP3IGMhxl8+pc57QNP3GHO5+lf5LY/eaclSMCsNjmyz+CTd1qCBEzT6/CLdx/XPCfChA54KeV1QoivCyFuw3RobwCagf5sE1gWhco6zI3T2zHNTddNRAQ5RfyUTNTWltQc6jGz72+SUh77dvhVglK3je9cswyA02cX5xy7cnElpW47S6u8eXeeAFU+Bxv/7Tz6w3FOj/+SQKrdt+52hJi4KuPaYY3bqs1VeGH9x/G7dDwG/O+v60kYgrlzVnHd6dePeb6t4iyeOOo153vnCzx841mUXvEIyYGd3FLmIqp3c0OjA0W8P+/5/j47V8ZDPHDEg7bwX6D1s4BpJvuvSy9hMJpg9tA90AcIFd+6b7AsrHFbhTnnVXM/iN+bJNy8BfgNAIfnX4FecyYXrFmFb+2b8l5XqBpzP/O4Se2R9SDPJLTiWvxr3wxAXZHT+t2Xj0gyfcfqOhrLPPznRQ1jmgd9Do1PX9LIjze2UOvPT+yZdpQLewm+VZ+fcH5qpx3vYObxH9jrIBFyoJaeif/0TKY6QsFRewVCtTP7Y38jsPXvyGwWYGmQHHgZW8USii/4fznXmP3vfyF8YCO+1VfntM/6f38msPVvVsmAiTD41M9TZJ0ZHjh7zdXIpKkdJbLaXQvej3CUYSs97bjCgo1okORQ56jxjViI5KDJA5c9HyMeIdlv8oF5V72e5HA30UMv5fbJovj3rrqK6OFtqbFmNt5ostFcnxZC3I1ZZfGW9KzG+BIFpsD59Ew641MRZn8CHk3NYxNmDfq3zdQ1TxUUuWx8/IL8pH9nzyvl7HkT1zlblxJCgxsz9Rq8yz85qeuvAFacPbq9ofxxQvEkvuoz8CxbPLpDFmYH+3j/6bM50BuivsyNw34pjtpLec+yia9/DnC/aY1A6lfQ+dv/NgtsDTfxvjPeC8DA45uI9oHqnY932SdoBD51eu448Z6fkhYmZ164iNKLvzzhtR3VC3NoPk4kKn2OMX/3ixrLuSgPsWc25pa6ufX1S7j19UsAk3ftyYN9lHvsfPdNy4FMCK+tZDmeZR/PO46RSIIQKJqKZ8Tvpf/5Bfo2HyIRLcKz7L15z7eVzab0ssmZpQBspbMoOvO6PO11lF76L5MeJ9HTbJURSIcTJ3parOPx7ky7UGy45r110mOPhWwhEO89hNSTCFUj3p3ZCyd6W5DJBEKz5bQXnXUDsY69RA+9RKKvFSMRQ7E5SPQcsjQX/xlvJzHQZgmmmcSk05ZTu/8rhBBFmFrHGkxzUilm3kkzcBAzVPeEUM5LKW9hZkxopyS++1QzncMx1swq4rrTpsfcYlFvT0PEys6bLxzX+ZuN8+rLOK/++LOKhepA9cxBD7bkZNdbeQ3jOE8TvUcy44jjNO2cgnhkfy93b2+nvsxtCZORodv50LvpEEfu24K92M2Sf7kCzZ1JgnWUmRpnMhhFjyVQHRNruicKVjhxLIQ+1IVWXJ2TMyTjEZKDHdhKps+UmRNppidJ9LVir6zPbTd0En2HzZowWblFtqpGpJEKl5YGid4WHDWLXrGyBMfMgZESFHdM2LGAE47fbTnKpiNDXLagfNqEiZVEOA0RK5MVJJNBfzjOwd4wa2cVoUyQVKn6GtGDLdZCOJKZeCykH0rFCXrouGrEnVQIxZK4bOqE39uCCg+zipzML3WbkXXJIEbUZE0eTwjH+gNgSBLDUVRnbrln37xKqs5bhKPs5AtlHlmrXiuuzlsKeFqFSZ669fbK+vztVY25JQeqGkFP5vRx1Cwa3ecEYWazqgo4oRAINEVMG/2JTEYwUnUcTqb61nc8d5iyzz3EGd97mvbh6Kjjjx3opbkvZFHipxe+5LCZVT2SmXgspB9KxfXK57hMB+7b3UXtlx7G+9kHONg3OrT3jucO8/ddnbSmuNi+sn4RRz5/OY985GyEEOjDGZPMeEI41pfKGSn1IkYILO+8CmZdtZqKMxtPKq0E8uemjFrUp5l3bZSwmqCevXVPuotRPaWjBGBOnyyK/xOB6WHnK+CkwIsfP5+kbhBO6BN3ngSSwcxufLrqNUgp6QrEcNlUilz5F5NwPMm9O01W46VVvhxWY4B5pZl4+abeELOKM+8D0SSX/sRM5vufKxfxX5ctzKrnPYSM9Y9iJh5rnumHU3WBEe3BiA+h2Ium8KlPDvgcGh3DJv9uU2+IBRVe61gsqfORP+9ASvjc5Qv48vrFo3yiI0k4x0JamDjLvWP2ORlhL59nhRmPXLzTmG7etTGFxhhCzCqBkKLvV/2VKE4vRjQ46txsiv8TgWPWTIQQfxRC3CyEuCTPsSIhxM3TM7UCpgJNVfA7p2fHl73oTofP5MhABN9nH6DmSxv4846OMfvt7Q7yrt9v5azvP8ND+7pHHV9VW8Ttb1jCX963blTUUvaOe0FqMcte+JIj6nmPtSjqwT6MsOn6S1OjnyzVHqeKxZVe3rNuFl9ev4j6slzt9VBf2Io2HUuzzRXC+TVVaRjE+lOayUloyhoPQrNjK58LjF6805hu3rV85qx81xkp3NLJmkII6/VYfU4UpqKZDAKfxaQrkWSKUz2MmRHfIIS4REr52NhDFHAqIHvRnQ7NpNrvIJo0TU8HesfOoG7qzVDe51vYqnwOPnlx/vk0lnt4/KNn09Qb4uxU6HO29qFn1fNOMxPnQ/aOUUnl9yWHm7CVjUptOmVQ6XPwqxvy53AsqvTS86UrONgXZn5WQqOUku5gnHBcpySQNp9UjKmhxYciyJR50VGaXzMZePkowZYeFE2h7nWTIiM/YbBXNpLoOUS8qwk9NIgeyE00mk4zV3aYb/b4RjxKov/I6PaskN9s85atqpFo6zYS3U3IZIJEb4vVfiIxFQf8TZiZ8asxWXo/DZRgJglKzNDgdcDpYw5SwLRjOJrAY9fGpRg5VqR34sLmR3GMH1Y6GdhUhf++bAGlbhvnjhOefM3yKl7+5EU09YZYVHlsphKvQxsVBqv5MuGyycDBUczE+ZBTT8PSTE59v8lYEEJQ7nVQ7s39Ps79wbM8d3iAq5ZU8uu6iYMWYn0B63U6cmskBncfpX9rCza/6+QTJlWNhF7eQLy7KZcGv6ia5FDncbEQj0R2mG96/ET3QfO6KTXRum53s5mHkspfyhYmlmbS22KemyoWdqLLEkzZAS+l3CqlvF1KWYqZKPg2TPLHW4CZTbUsYBT+9S87cX36Pi7+0cZpGzPN0qtOY72GL75uEf9+fj1rRyRTZsOhqSyt9nH18mpctuMv0ys0l1W3Ww80HVMkF0KgFVcCr3w9lVcCtUVm8mJTb2hS4dRpfwmMbeZKayyJ4Qh6PJm3zyuF9AJshIeIHHzBavesWG+2RwPogZ5puVZ2mG96fJmME9775Kh29AShPY9n5pnNSZYWGnqS0O7H8vY5EZiWaC4p5Z2Y5q/5UspvpGhYCjiBaOoNk9CnN8M1vRM/GetbP394gP+6fw/v+t0WpJz4c2dHdOVjJh6JtM1aK5mFVmJyPr0aNJPWgTB3bW3jfzbsR58Ew/O7187iO9cs47tvXGDRz4yrmaT8JUJVsBflJxZ0Zmks8f78tC2vFLIX4OCOB6zX3hWvs15PlxM+exzvyvX5rztGe45mUpV/zidaMzlmM5cQ4jRgcCT5o5TyUSHEfCHEzVLKb07T/AqYJP713HmcN780x959PJB6HD3YAkxfJNd04sXWAb72qPkwfvONS6lO0X/c8JvNlLhtXL2smvWLK63+6brdif7tViHxyWgm9qpGNN8cEt3Pvio0kwf39nDTn3YA8K61syzCx3N/8AyqIrhhdR0fPWee1T9NFpkY2EXaezCeEK65ZBmlK+eQCETHrOeSrbFE+4K4qoun/oGmGdkLcGiPucvXiqpxzjnNao93NeFecM5xXys7zNdVf8ao6youfw7fmNXu9KL6M/d2tgBM98mm+D9RmIoD/k/A/JTZI+183wBsllIeEkKUCSHeIqX8yzTOs4AJ8K61s3jXNNa31EOHLfvsdGomvcEYf97ZQVNvmPefPpulI6KxQrEk5/3vszSWe/joOfO4ZEF+X01juQdFwLxSN72hONV+J+F4kru2mbQR1T5njjCxFkA9MrotD7IjYlS/WZHTiHRgJEIothNXxni6kR3Q0NJvVtpM6AYvtA6iG5Lz5uf3ZU0mnBpAddhw141P15PtS8n2sZwMsFXUgxAgJTJu3iu2qsYUO7HZPl1O+OwNi61sDqg20BPWde2VjdhKZyNsDmQiltOebXbWimsQdhcyHhmzz4nAVITJ7Zjlee/BLIp1OSnne9bkm4GCMDmFkb0Ln85Kcr2hOB/5007AJCMcKUwO9oXZ1j7MtvZh3rJi7J3V5QsriHz99TnMx/3hBGtmFdHUG6KxPFdDy7cAjrUo6qEB9KBJn5LWTKxjgYMopSsn+JQnL86YU8z2/7yQhjI3Hof5+IfiOu9cU0dTb4iVNf685002x2Qy0NwOVJcdPRLP8bGcDFDsTrSSWSSzoqnslY0oNge2sjkkeg8T7zwwLdeKdx2wxheKama+d2RKQ9urGhGKgq2innj7Hqt9ZJSWUBTslQ3Eju7KOfdEYyrRXHcIIepTfpI70+0pOvjLMPm6BqdthgW8Isj2D0xnJbn5ZW6EAJui0B8ezeYqkaxfXEFTb5iFFWNrALY81Cyzil1s/sQFZpb7CHdAvgUwO8orGyPpKNKaCZiLqu0UFiZeh8bK2lyBUeyyjRkyDPDLF4+wdavGvNCl3FC9BcUxMVHoRHCUeQkf7T/pNBMwf/McYZIuEVzZaAqTadBM8oX52isbRwkTqz1LmORzrNsrG089YZLCrSOrMKaIILdMz7QKOBY8tLebvd1BGss9XLWkclrU27RmIjR3TonS44VDU2n978uo8TvzhjGvqi3igQ/nrxcyWQghGFnccWSSneKehdDyO4hzhEllI5ovU1xMfxX4TY4V33zyIC93NnC57yzevXDsahKB5m6a79qIo8zL3GvWjesLcZSmhMlJ5oAH8zcPZ0dOZdWbD+1+lHjXgeMOD85m9h2znn3lGO15BMVY555ITEmYnChW4AImh7u2tfPLl45Q5XPQ+cUrJj5hEkhrJqpv+m2v2fQnxwvDkPSG4lT68ueLpJGu2z2ZUqu5rKsNKA4PwlGGjPXlmHteK2goc7O/awADZcIck2QwSjIYRZkgpNvXYBaUcpb7pi1vY7ow1sKcZhU2wkPooX4079RZrXPuscrGnP9p2MYSMpMRJqeQZlLASYSjg6bTrbFseiK5IKOZTKe/ZLrx5Yf3c+ujB3BoCgP/s56W/ghVPjtue/7bOrtu97iRXOmw4OIaFIdpatN8jSRifa8KzeTXm47w/acP0TYUpe3zl/P0oT7cNo0FFR6K8/Cl/fK6pYTuOQdV6Gj+z405bjTt/1AE9uLxgxQqTm+g4vSThzw0G6OFScOo9nhX0/EJkzzMvmMJhJFCJp/WYRvZ52QTJlnVE48bM1RtsQDg4ZvOoisQIxCbngQwaSTRUySP0+kvGYmkbpgmqSxz19PNfcwpdjG72DUhRbrHrhJNGkSTBn2hOBf/eCOHByJ85Oy5/Pja0X4Nzddg1e0ejwU5H7eR6m8g0fvCq0IzCcZ0Nh81jQvtw1FuumcH+3pCvGl5Nfe+fzRxhS95lKgws6rH4uSCTGSWo8SDmMZyAycaOb+7rxzVU2y2Zy3Qia4maJig/PQ4yDD7ZsJ8s8cXdjdaUXWe9vwhvzl9bA60kllTnttUMZFm8hgwfkHmiSEwaVaOP5X5JMQ7/vgyzb1BNv7LGSh5VHUpJV/83R1093fxxYXPoikTJ4p9r3ktT/fP4ocrNuA9uJtEbyKlIWTGb+kP0xeOM7vYRak8iuJMULJmIX1ZD3Foz2Hi7WZ2QExcTFJkyt4pshun/AuCPAJISox4AoMiug/4EX//FqoyjMf1IkJMjpHYXllP1Q3fRnG46YkGeeeTv+fMdhs1QZXfl+ls2VNMJKyxctUAb9R1FsXcXHH9lVzwQzOD/wtXLORj9icY3vQXkJKj4SG6IwGr8KhLtXGJo4SHlDhum8rAD77Hf7f0IYHiZ6BDlGGbI0FA0jAYHoojnutGmiXOibT+gb4H89PHRQ+brr/sBzQdHm2EjtD38PSYEmcOAufsq/EsyV+tcHmljYsre5jn6KD3yV/S3PtuQKUueD+tv72TSP8siudvRnOYGq+M9RMJnEF7/xv4S3cxu4qe46fXrmJ+mZuelw4ysLOVg71hfENBXBw/wePgnjZ6XmxC6gbRhMFLPSEeKilh3VoPjwxtAuC3F9zA37b3c8/2ds6sOcDVS59gvrcIl2ZqVtvbh0kaBn5XGSsb/h1Fq+Gu5q18Z9M2mpp8rC6t5X/fvILFVaPnaq/KCEy1IvPaXpEJ2Oj565cYfOZXTISjQxG6A3EkklW1RWipDVL0yHYAWtUafvfgPr5y5WJsZXNBUcHQOarV8rE7nudzly/kvLlzQNVATxL0zuF1d76Ay6bytw9kclNspbMQmh2ZjGOrqB8zx2cmMZEwufSEzOIUxd/39vGHF5tx2m081BzkyobRN+azO1/gy1trgVoaks/wztIN4465Pzqbrxz4NwB6ml6CVN5EjJacfhWpP4YglmpTtCPYTVM0egSCqXAIQy0nVn1t7oXEEmT/TrTIswBI4cFwLEYkuxDJTgRgqHaS7gZIQoI69K4n0MJPTeq7Cb0MzvmnU3LhB4npSba1HuLWQyYP085QD8+GzfyRtsFW3tzZCEiev+8ZLqgv5anmfpZ643Tc+S9WrktJ6m8k0vuvBGa5XgAR0XCdfp61O7ah4KpzMngwSihF/Jsc2DHhZ7DXZEoLa0VLrNfx9vF/w5MB8fYNOOe+BdU9ehe7zriP31XdBIDRL3iwcTMtsRpmq9307P4qAMngIKW13wFASsFg1524DA/hUJINXb0EUzQosd4AgaYuKrPGd1ZMTpgM7Wsn0j2M3e+idNVcq/3wvS+RDGbq1JwG7B2O01xfwYbO/eZ1dZ0DPSE27O/lexf9mVpXEHRIpvY6yywL1EFiwT/iKv44h4L9vNjZAX3lPNrXx/AYmnxnVKVdqaDW6GGPrCW9pVAcbmzl80j0thDvOmCF9o6H7Ps2lvWsprEjUc22dtNoIzQb9qoFxDv2siNZzYb9vdx09lyEquGoWkisfTfdrrls2N+L15G7NxeKir16EbGjO3HUjCiJrYKwKTCJjezxYFxhUnC0j4/nj5g3QTSeoD8YBUY/RF09hwHTlyE887BV5CmOnoWBgTlU2QN0xX0E9EYqMIWJrbIOLRWiGknotA9F6QrGmeXVqRg0b2opa7BVzAPA6BgA9gKgFGV2VIpxBEPUgVAQ/vlobnOHlFSWErd/AgBX/Jtoxj6wlaIrHSSNKkBBrTgdly0x4fcSaX4RDJ1Y+24A7IrKendmsXhjooR/zhtgsN/Fpf5KMN0YuI4GWL1oDg1lHl5XNkhbSpBQvYj98SihpBlKrCAwkNS4/Mz3mWGqujTojYboiAQornZSmxIk+oCB8IGiKcTn1WJrjiMUO6onE6GVD7bS2RRf+EHrvXPum3E1vp/k0N4JP/8rCZkIkBzcBUiSQ/vyCpPEoPm7IDQcFaezElgJJGMNtKVIbKPBM6x7NRnzIA3TB3KJS7CjrAR3ysFuL3bjmVPG4f4Iw7Ek0mVn+TmLJjXX9g07CbcP4F9QbQmT3r6gJUjsJR4SoRgynmS1W6XZ5+Fs3exnV1Xmlri4tMFFrdf01XTF3dSmWKD3dAWp9XTjtUfRE2YIbp27iOVl5bQMRFleUo13DN+aISVf83yYa2KP01z7Tt6Y/m5lnMp/eR2RA/uJN8fQ+8zFOaFLErqB06aMsk4YUtIxHKMrEGNVrT/HpLtrSOX5ig+xOIvMtPod3+Howz/mef0tnO0qodRtVqqsese3GXjiDrpmf5CzW/247aMNPVU3fIuBx35MxTWfz2kvua4atagMvW9mXeRiMrxGr1asW7dObtq0acrn370vyK929hOMxPjrtfP5y452trcPs6Dcw7+dPx+AwLYvEdz2RXSpUPPOAKrdFCwvHB7gM/fvIRBLcu3KWm65JNc3EYolCT3yXXrv/iQAe678FG+9/rZRcxje/Fnaf3orRgz8Z13PrI/+AYD+DT+g87f/DkDJe16iPUU9svLT17D3jkeI94coWTGb+hvOBaD7+QMc+ftmAFZ86o05DtRd376PWG+A4mWzaHjneRN+Lwc/s4xY+268q69mzsf/BkDvpmYO/+VFAJwVfpZ94iqzfXMzh/9stn/vzBC/vsZcwAef+TXtd74XgIZb9+CoXZzKH5Gc/o/vsbW/jdfVLeLBKz486vrx8KNEBr4GgLfyTjYd+iSLPYPsCFZy/qI/TDj/UxnJQDM9fzZNM0Xn3Il74YdG9el/5A3Ejt6HVrKCimsyGlrgYBf7f5YJiV37tevN9uZu9v+faRJsfN+FFC2cmKbjyw/v56nmPhaUe/L6rwCa//AsAzuPYC/1sOJmc8n+3QO7WPy0mS/Rf1kjezZv49wBL/gdrP30m0eNocf3E+z5KACf2LOUn1/2A+tYuP/rJCIbEEo5/po/5p3Dnq4AuzoDSElOqet8EWZ6ooVgt3l/uko+jd19OWDm4bz/j9sA2P/pi3OKjs00fvFiK08391PqtvHNq5fl7RPovhEjcRDNeQ6esq8c8zWEEJullOsm6jeuYU0I8bAQom86/o75E5wC6IkYeF1OltSUUOLSuPP5w/zgmUPcuytT+Ckd/WPz1FqCBOCO5w/zeFMfm44M8cDe0QWgPA4NvdekqB4WHr59YH7eOeiBJqt4UzalddrBJxwe3LNrKV09D199JZrPSemKOVSc2UjxkjqrfzoTWWgKNn9uVFia/mKy2crpkMah9j083LaPQ4G+nOS0dL2L7DF1JJvimdoR2ay9tor5qZcCVVFo9Js2jKbh3FoTaQjhRrWfhlArUdQaAoapvZRpr/4YENUzB4S5Ax2LSyw5BmtydETOh0xlfsb6M7+dcwxa+ZF46cggjx7o5ZlD/WP2SftW4gNhjJR96shglOcNhTYpGPDGudfZyY/K2tAuzO/415Pt1utNgzqRZEZzVrTa1OfoRRqjyztLKfns/Xu47teb+cJD+3KO5QtVNrKuFQ/djzTMmjxNWQXZ3v37rWN+3pnAA3u7+cVLR7h3V2fe41LGcHiuwem/Ebv7dXn7TBcm0ntuAY4/3fVVis6w+QBUeUyVs7Hcw87OAPYsJ7hF2z0iCia7OFSZO39lxLRAaFVrOBjK/xAnh5vM4k2DudXZLKqGqkaKFtZStDCz68pXQ8KKxMlTt9tZ6mOYDmJ9gUnlBFg03j0trH/oDhr8FTxdcXVmbkNhpGEgFMUSJh1anKZwP0lDR1NU67Pbyuag2HJzSBr9pr+lJThAwtCxKbkqv811NjZXxpyoK1VAMzWOKNFkGKc2fSHUJxuEoqF655lU+3kiz6ShowfNTcfIezJb4GseB8lwDJvXmdlETCLkN43VdX46A1FWVI8dEGpxdElJfDCMs9zHlRcu4Lm55ewKJ0jaD/GEd5AnGOT76/Kbzgy9zXp9KOygOdDHshIzCkq1NaI51rI3qPKVR++g2lPL/571Zl7sOcK/v/BXmgK9vMlr3pfNfWF0Q45bD8hIZq6lx3dgJNtQ7Qt577pZ/HrTEY4MRtnSNkRSN9BOUDRbY7mHSq+dWUXOvM9mIvwokcHvItRKvBXfn9G5TOQzObFi9hRDV8h04O3tT/CtzUP88C0r+c07Vuf8oId6BnAl/bTEzqTz+cO8a+0snDaVe993Ovu6zYf0nCxyvf5wnBKXDSGEtTuvL+rg6UX/gjSuRygad29rZ3axk0UVHvRAU6Z4U6gfPdiP6i095tKd6QUjXyRO+qE3EjrJQBSbf/ykQyvJy0hQFQvQ6F9M9YVL8c6vJNIxiKPcRzosK73rbbPFcCegdaiP+pLKnPk/23WICqeXed4S7KpGo88UJro0OBwcoNFfzs0v/oOkNLiouoE3zV2eOx/bHOA5FAFHhvexoPR4AxRPbmj+RvRAU17NRA8dAcPcvY9kg665aClFC2tIBKI5DvF0/sixhPx+ef1ivrx+8bh9sisxxvoCOMt9rKotYlWtWcXxPU+ZJuhatx+PLX9Salpb6IppBHWVpuFeS5jYXOdgc53Dj/fezd+Ovki5o4+fnHMtdlVlc5/pHDpjucbHzr6AhnK3JUj+vquTMo+d+aVuhqMJZhe78Dg0DL0968oqht6LykIWVHj5+uuX8KNnW2gs9xBO6PhVhUt//ByD0QRvWVHNf122cFLf27Hif9Yv5mtXLRnzuPn9GEi9B6EUz8gc0igkLU4RveE4dz21Da/LyYJZVbxIMTcs8lCUJUgCgT7O2Jld2mUHZ88rZVm1jzKPPUeIAITjSco+9xBFTo3br2zgvN7DAJR6Q7iEuRAknHN4+29M38bnL6njI4mAZeYCiHcfxOnyE+8180Qmk7yUW7d7tAaU3RbtC0wsTLKu+acVFyAWmH4W75xyvHMyLMBSSkuInRnx82jzag7va6X+rMocRtWrH/0F/bEwH154Jnec+zbLzAWmqavRX86vmjbRGwsRTMRGCZMSVz2konx6Qvtf9cIkbb7SA6OrAmZrKyPZoFWnHV991ajxLK11mmu6O7PGy2dCTZsx05uHvGP430dEPYebt/3CPCcw2vSZbktrtA2+zP0TVIZYPStTglhKybv/sJXhaCbSa8NNZ3HZwgpLMxHCh6/mzwiR0YjfsWYW71gzK2eczUcHGYomOWOcQnDHi4lysfTUnBW1Ome+MzKXGR39VYyXjgYJhKN09A0ST9l7O0O5ORgHjowOHWwap/Z5c59Z+3womqQs1mmFxaaFhR5osvoA1LvNYDs1W5h0NZkEcrr5MChFC+h4YjcDO1tJpKJkjESS3s3NtD28g8ChbhLDmbrdzjx1u13VxVRfuIS5bzkjZwEYC9nCZGkywjlV8/L208Nx9GhudFhfZx96sB8jNABAsmwO/THzMy9ILQbpRQHMBWcwFqE3Zn6vi/1+4uENJOO7kYZ5Xp0/s0MOxlomnP+pjjRrgUyGMCJdOceytZXJ1KnJFvhj1XSfKjSf06JdSV+jb1sLwZYekuGYJQTe0ldGy59eoOvZfaPGUNQKSn3n8NSgqY00DY92z6bb0puQEoebMoc7dSxX+PSG4jmCBDLPbNo/oznXTrgwJw3Ju9bO4oqFFZw+g8JkIqS1KUNvIx56cEavVdBMpghNESyfVU77UBif2yzMlPahRBM6kYROOYf5Rt3P2B2dz2lr38Ub1q1hzgheKikl/eEECd2gzGPnW1cvpak3xBJ1v9UnLSySw00sXHApuz9l1kdfmtwAhxmhmTShZtE8SG0W7Q+bETsLPngxNq8TEGZklQShCOT8TJZAvt2nvch9TLW6baWzrdoM8a4mEsMRIt1DOMp82Ivclk9GddtZ9d9vJtIzxP6fmtFCZ9gqcqgmPNWLeOaMNTQN97Ku3AznrXH5cWs2wskETYE+DgYyC8hKv05kwNQG3aWfx+a6kDJnLe1JFZ+mI5PZpopXJ7Id63qgCdVdnfMeAMWO6h47SzoZiaOHY9iLPdRevoJYXxB/42itZTwEY0kO9oVQhWB5Hmp7IQSOMh+RzkGi/QF2tvQRv/t5AJznL6Qnai7iKztV+gYO4V9QTdW5o30nQggafeVs7js6SjMJRfZwYXEzagk0ZGk4jf5y+npaRwmTUredvbdczP6eIHdtbeeKRRWcX1+KlAmkbgpmRcsErrzcGeD2x5toLPfw/tNnW7xzNlXhf9+y4pi+r+PBQDhOMKYzuySzGEgpc/w8ieiz2D3r850+LSgIkyni8sYSdn7ibKSUvPehXmK6pDOks+qbT7Kzc5ibzprLNxYetJIUqy75plVU6afPtfDbzW00lnt49EAPRwaj3HT2XH5y7Ur+IxW10vfwE6T3lLcOv5/nepdxXlzyg8UKS6p8LKnyEdh6gCAgVIFWXENysJ14V64wMUQpYO7y05E4ik3FXuQmPhgm1hfEXVeKze8iMRzBUX78u0+hatgr5hPv3E+8u4nhpk5a/mTW0y5bM59kKIa91MOcN65Fczvwza3EWekn2j1MvD9EvDtD/+2uWcS5VfM5tyoTzZZePHYMdNA03JuzIMx3x80MRkBRzYdeURQ64x582jBORptBXm3I5lNLBg5irzov5z2A6qtHZAUuBFt6aP7DszjKfCRDMaI9w7iqi1n67+vzLuCTwepvP0VTb4hrV9Zwz3vzR5Z65pShuux4akvZvL+LBan2I0pGO1CKXTAQGDeasNGfEiYjhMPQ0O/50fJWjkRsbBdZwsRXzgs9rTQF+vj0P/fwxMFellT5+MX1p7Go0suiSi9vXJYlhBNHgJSlQK1FSgNp9LGtLcavN5n+l0say2kfjhJJ6FzYMLZpbrpx/v8+yzOH+nn9kkr++aEMxYs0BkBGxjlzelEQJscJIQTVHpXDw0m6wjo2VSClqRonq9P8O1UotsyOf8vRIZ451M/urgANZR6ODEZHmb8S3ZnQ3ueTa9kWmYOvty2njxXi6ZmDvWruKGEibE4SEXPBGBny6yj1Eh8ME+0LULykjuIldRjxJEKbHrvqYVcxNcC+gy+yZFEqSkhAfDhMoKkLZ1VRTn9HmY9o9zCxvgBxXxYJXhaFRTYa/aYwOTDcm7MbrS6+HLdYjZFsR7FlEhPv6rmQe480YdNq2Du+X/iUh+qdB0IBaYwipky/H+kvifYFSASiJAJR/AtriPYMTzp6byw0lrtp6g2Na9qd+6YMF5h+90vW61CxTipfF29FMRwKEBsMIXXDCgJIRDYSHb4TRavjtKKV/BFoDQ0S05M4VHNp6074mK9AlSPJAkdGO0qbvI6EBtkxPMQLrYOE4mNTBWU735OxLUQGvwfE0fUfUeN30BmI8aWH97Fhfy9Lq7y8/KmLJ/s1HTcqvGZi48jvOVsrOREoCJNpQLXbFCadIZ33rpvNVUsqWVNXhH40tdiPsE03lns4b34pfqfGW1bU8PbTalk1omCRFc1U1ciZFUN42MY6d27MvkUT72/EXjWX8L6ncsxc9soGYv3mDTYy5NdR5iPQ3J2z21PGyAgGM6Ft4OWjxIfCNLzrvAkXmFanKUxKh7ss5769yI2rqohAUxexvmDOwmDlsvQHiTlTC15JHYojfxhvY8qJOhAPs3+oB4Bqlw+f3Qt4UW3zcvo7HItoDh9FFUN5w4lfTRCqA9UzBz3YkkNMKaVhaSYj2aCzw399DVUM7++YdPTeWPjY+fW8d93snAzv8XBJpTstP2hSM/dlZXU53RwBQxIbDFl+OyPZav3N9poJhIaUtAT7WVRkmm43Di3m2pdbaY3Y6bg+k2yZ7XdrrLRzUbyMFWNUmTSvlVmYVfsiEpFHAXjnaSrvOeMKwvEkn3vQFCYH+8I8ur8HRREsrPBQVzR9JRfy4Z1r6jhrTsmo77kgTE4R3P70URrL3Zw920t1Ks+kJ6LzrfXzLDK3jz20nBJZykVl8wjv6eJHz7aYZWn/8wI+efFo5+etjx6gwmPn7HmlOLJCY287q4/Qy98GxcFVd74dl03l2pW1XJy1y5QpJ7c+3J1DVDg8RiROevHWI3GS4Riae/x6IOGOQXqeNwMKkqFYyvcyNvY7PJwJOPUE0e4Baw6OUnMeMqmz85v/AKBk+RwOqkF8gEwaDHccteb/tsd/zWA8wlWzlvCJZRdY49+84iI+teJiSh1uLnjgR0DuAjES6Z1odjjxqxmqrxE92JKjmRjhDpO0jdEJi+mILXuxG1dlZlFt/cdmnOU+3LWllKwYn4JmJNYvrpy4U84cTAGieZ3si5obp0qnl+KqErqz+qSFiaLVoDnPQRpDzNUy1TCbhnstYbJjOM7BsJNiu4vSrI1JdoTYpavsfP/qNQC863dbCCd0rlxcySWN5fxpRwdNvSG+flGruVgKJ6o9Ey1o6G2oNOK2a7x77SzOm19KY7mHD929nRdbB7mooYzH/+UcZhJvXVmbtz03lHnmcdzCRJg0smullNuOfzqnBgajSW75q5mC87a187npPNPPoUvojehUezTC4WF+0PE6JAqxyk4WB+Pct8d8JFr6IywasYuIJXX+64G9SAmfv3Q+b88K7VVTNchjSZ2H9vVgSFhSrnFR3FykVX8DwpbxKSQHzB2JVtFIbG/+kN9s4dK//TClq+aOK1Cyz4/1B8cVJlJKtgo778ZMJ4n3ZeaQPU5iyFzYjHgCWZPZvSUHwmiYgvTJzoP0REPM8eTSPFY4M+NkQkjLxjTLZBYPycHhrle9MNH8jcQ7HiE5nKkKOF4d9/RC7izz5dwbgy+bgt3XUHXMwmQykIYk3NZPtC9A/3aTQ8tR5qVp2LyHG/3lOfMxhZ6pYdhcF2JzXWj2C2fYDbIjurIjubLviwXZEYFZZtIH9nbTH05Q4bEzt8TFp+8zy+V+7qwjFKmm813NcsDryXbSKcen1RVxWp1pvk1HXTaWTy7JcyZwKmomJ0+JtBOETW2ZTOFFlR7m+TXOqnFQ7Vaxp+rFHuk4gEeJEjTcLKgsZnGllxU1PhrLPRh5+NCODkZRhECXkqWOASu01ywbawqToOHm8nkqzQEnC7zDpH3Jmq8RfKPpVtTiBchk/pDfbFqMI//YwpF/bGHONeuoODN/uGiOMOkL5OSLjER/LMyeVLABihcjIVNj+PLScTjKfMyfVUQfqcUuYZ5rlM+lp98Mf87OLclGMBGjM2L+Hov9foY7rkHV6nD43oHNdb7Vr9Hn4pmz9zDfHefl6ANAfh6jVwvSmodMDCFj/QhnWY6Wkq2ZSCkziYmlXuzFblAEGJn7NF/+0XRh352PWvcpmPemJQR8Zdh8ToRNRSb0MZ3wVS4fHs1OKBnPEQ5WjomvDGlEEKnQx1KHm2K7i8F4xLpWLKlz9twSM5qyymcJgnKPHVuKjVRRaxGKF6EUIY0hIpFWHN7RG5gXPnYeB3vDlHvs0/EVTQnGCY5cLJi5pgCH3cEla5cSDEe5rLGMhmIbn1hj7kh0Q/Kn7e3saTrC/829lWXOQ9Ss3EBZXQk7br6Io4MR2oej9IfjlLrtJHWDX206SlNviD+/dx3Lq314Wh4n7R2xVzWi+GbTlSihJV7D/6zrYt1Z7yfS/HsGW8w+qr8RxTkvz0RnA+aObaSZy54nZ8BeMvYuylHitSrTTMTR1RTopcPpJ4lAUTPhpM4yr0nHMXKhKvVSVVtN6QcuQoZbOPotk2yw11sJaWEyRuLaroEMJ9FyPyBD6In9SJmbv1LlqgJ3HLdq4FPG5ot6tSA3oqsJu7Mso5kIDdWbyXBPhmIYMfP7cpT5UDQVe7GbeH/GoTuZ/KJ8+Ooj+9nXHeL8+lI+fNbcUceFInCUeol2ZzSLowg6Iub7Bf4KhBA4y7xEOofGvPeEEDT6y9ne387BtHDQk7QGB7lzRQvXVO0i3L8TT/ntWf3L2NRrhhN3DptBMF963SLWpvJCDEMy8D/rKXIqDLd/C8DSShS1Ft0YYmPzy7zzew/y5/eu49KFFdZ86ss81JedOK3kd5uPsrsrwJIqH+9aOwsppZWweKJQECZTwGACyot8lBf5WFObuygrAt531zZCcZX3l53JBd7tlJQvsI7fs72d//i7SQHe/aUrKPfY+fjfdhGM6fzrufO4Znk1/dsOW/3tVY2onirO3/9jgoabD6ntrDtrRPKZtx7F5kEtqkIfyiSp2cpm4WvsI9YXHLWzVO0avvpKAs0Zksnxdp8jw4nHQ9NwHwlFpd3pp1ZkwisdpV6EquAo8eSM4SjzIRQFf2M1Qy88iUhxrbS6iq0++cxSlz74Ex7ryHwPDe446Vpf2bkAYIYH+32vRxEaa0vXjDv/VwNyck2Gm6DiTEszUb3zEErm0Y/1Z/8W5j3gLPPlCJOpaib/90IrLf0RErqRV5iYY/ssYRKVEPIKSCn/VqLh8tl451XimWWyRhh6L4nIsyhaHZp9CULx8Mvz3o7P5mCO1zSJHgr0I5GoQmJXEjmkkGBuUDb1muHEF/xwIwd6Q7x1ZQ1/SoUxK4qg2GVLnWdGeqXJIxWtDj2xh/nFQwxFk1R4TRPx955qZmPLAHNLXNz+xqVT+s6mgq89eoDdXUGuWVZlChNjGOTYUXQzgVNemAgh6jEJKQHWAf3ALVLKLTN1za5UprtHE3htueqtEILGcg/b24fpTRYjHGUojoy9v6nXtKX6nRrlHrvZv8wkiAymivVYjL82J1pxLUJRmO/qZ2fIzcFBc6FNR3Ip7lorf8Ve2UgkLUxUG8Url1Fy2thRSws/dAltD22n88k9oAgcE5D4ZYcTj4cDw2Z01RFXMbUxF2ZJIIeVQe0o840QJpmFKjthca8t4zDNpsBIw6vl+niq7QFLmKjaaKekp+Tj48771QTNlwmpTmskFunoKH9J5vdM/xYjs92nSqWyoNxDQpcU5aktP/KauhD8cHED1y5wIDoEEmltImouyaXI0eP7iA6ZxIWeih+g2ZdyWlnuBiJt4moOm/eJ1LuQMoEQ5lzSY7eGBrmszMWBMcKYFbUcT8UPMZLtaHaTByu9WanzBfm3c2toKDPv1Yf393D/nm5W1PhOqDBpLPewtztIJGGaC7MJME8UTmlhkhIkm4FL08JDCHEbsFkIsXamBEpn2FyxqjyqZSttGkywbyBBJCm5932nk3j2Wnz9D6D5MklE8aTBG5ZWoiqCNXVF1rkP3ngWpW4btlSYrMVLVdlgld/878Xb2Xr0cU6vTKAbN1maSXa+gL2qkciBZ1Pn5ialjQXLVl48MYlfvnDifEjboPt8VWgDj2AzXqDxW91W6HHpyjkM7zdp+m0+J2qqfe9gN+37N1KFQPVXsjdFo1Lp9OK3j3b4v33+Kv5+5GUAyh0e7PSQAITiRyjTyyN1qkFoLhT3LIzwUfRhk6NLH4N63t9YTcO7zyfWFzDNmUDVBUvQ40n6t7YA4CidmsnmgQ+fNS4TL2T8eaqU/PLqJdiLPYTnfo1DwX7me/OTlmc7l9PJqSORDsw4FE5vOgyMZCdqKv8oHV5uSMk7z6zgksYKTqv1j2L9FcJOSG/A71pkPbNK1mblO28sQ7WZ9/CiCi/37+lmZ0eALz60jy++bmoJn8eKn123Cr/Thl0z553rfNcgX3nuacapzs11C/BIttCQUqa1lM/M1EV/9fQeXtrTTG//oNW2sT3Kr3cHubcpxNxSF1c8fy1r9vyCb7RfY/X5wkP7uOr/XuTHG1t459rMA1Dlc7DqW0+y5LbHue2xppwckzRe12DnroHLeOvOD/CO327OyTFJI5shePJswenQ4YnNGCPDicdCekcYLzMfWhkNIIyMTbxszXw8KQd+9o5304vbcfZeQbT2l8jy5ZkorTEir97RsIYLq+utPkbSjDwaa3GRUtIdCbCxq4Wh+InLDH6lkNZAkoEmjGg3MhnMaU/D5nNRvKSOqvMWW1xZjhIPpAJFbEUuFNvU9p0TCRLIvQfSmxunZmNJcRVOLb9GY4W9Cg9Cyc0PkVKSMHTr/umIeUefR+a+8tuczKsS/P3lTtbf+QKX/fR5q88ft7ZR+YWHKP7vB+kKZO75bDNq9sL9rauXcl6KwPXRAyeObaHc67AEiQmJUGsAFUWbuJjZdOCU1kyAG4Gb8rQ/Alw7Excc7G7htEO/Z7mtkvJhlUeOmNEa7rjBRSlurru3R/hQ2E5LchD9yCB3/PxTVLtVFh528hVdAR2e+uERPA4bXpuCR4N3tLfRb0SwaZJEj1lvwpYlEKSnkSNxM3Z+ttyJEe1BSgh2rybxkpmIFok2knRfAkDCdg5b73yYwOoKzlm2DM01OqpEjyaIdAwCTIpa/JA3QaDBS9JvjpWMxBnYdYSkofNcd8bPU9+SoEYvZ55WSdI9gBp+mv6Hv4+tPIvWvNMDKBBvZ+CJOwGY3zaEQzH5olqVanYPmia7xiwTV2I4wuC+zIJwevcA15RGaXD3kIw0I1SID/mRFbkRNsMHOtjm7uJnL3+X62v76UquxVVs2sZ7oyH2DHYRln469YUca4DiXG8JV9SN3oG2BPrZN9zD5bULUETm+40NBAkc7CJPUF8O/A1VOeam4aZOYgPj28FdlX7cdQZ6ohnVV0/icBPh5jIikd8QGzTvDXlkDuHQQesczWmjZMWcUWNlCB5ztTxD7yEZ3YRQS+jWl/BQ2z50aeASQ9SkOOXa9UVEpT9rrB1oRgCnQ2F2qbnsVDg9zPPW89fWSiu27tFd2wnq8MaqKO4sNgZDNwgd6SPSMQCKgqd+C4oNjFg5vZvM5yWciPPuow/ydKiNb57+Br59xtV8bOn59IaPgGFWLA0c+RsyvgfFprKqyk/vm8/Bq9kRYi9nl+5gcbSUJjVjPq12t3Ll/M38bf8Cvr31JRZU20gaku1N/dyWcr3t7foz3fpWXJqN06ouY3Gll6FoghU1PpKxnRjJVhB2qzIjmEWrEuFHRn3ngUTMpNEvrsaujmNZGGO8Az1BdvXORk8s4HXOr2Ak42gVX0OxkRP0MhM4ZYWJECLtRc0XmrMFuEwIUSylHJzO6x7e/he+FP0xLP0SyVAZibZiAEqA7ODcBW6w930LtXUTmOHzzC79D1a6U/QRqSCkWOrvSrfppLfv/SIyVes8WzPR/A38Yf5nORSrYXmoOV1Wnq6XyuGlDA0FJWYZ28EOgH48h/p5rifM+VeeO+qzhDsGrNfdyQgT6TJ3xZv5vvIMxXEXA+4riHQN0Xqvee1s1+p/ktm1JUo+jBp9id5/fDVnLE2bhapVk+gepOMlU8sqUquJVX8HgD1xD30pM1e2ZhLtDVjXFFqCz7xnI6ort4re0K4EJSM+zIFfPEnd2+by/WVp3q+niAw+BYAHWJeyon1ox1z+1Hls9eDeNGf5KGES15Ocd/8PaQsP8ZsLbuBdDWsBc9d85B9bGNo7cdhm/Q3n5AiTnhcPMrjryDhnQMWZ9RiO7yP1DpTyxcQjSxjqfhd0AJj3xlB3DMjcM85Kf15hUrS4Fpvfhau62GqTUhLq/SRG8giqfTWXPV3J3iEziOOC0gB/X2f+lle+uIDnBjNzv39FG+fUjK4oKoOwvecclqXEyawXeokv+h0iGGWk7qgVg684ty10WKXr4cxnSc4OgROWFFVhVzUWFFXQ6C9nsNWGoiVQ3S+A2+SJ04PmApi+ez53EfS9uIZv7tGBKwBYXLyL71/+KG9fuY2/9vi4cWMJ6ArsOY/PLLNT7Igzx7aDOTaTTPWfzX3ced1/WfOJDH6PeOjvCKU4d/E3wkQGvz3q+9CAxSroAUZ9/myMNd4sG3xn98Wcvm8JLamIxpqrFGwlfuI6eCrGGvH4cSqbudJP/GCeY+mspVHETkKIG4UQm4QQm3p6eo75oo3zVlDz2fOoe9Pj+JeMpsQGEGoSFCPvsYmgu0wfi+opxbfq9Va7u+YCLqwe5t1lD7HabWaiK+785pxsDClJHnFm1O0tvUd5oqOJuJ7ENauUWLmTgKLz59lDU5rvVKEkj6JGN6EkMg53oXeDYe6Ghd1cnL2agzePqE+ShquuY5QgMeI2gs3zrPfSkHQ+aUbP2Tsc7AiM/zS9qWrwWD9KXmzsbqEtbH6nX9q6wWoXQtD4ngtY+KFLENoMPH5KAqmb/ijp3ZtLKX2MqLl4GQ3vPI/aS7MyvpPNGElToCXiuy1Bcjy4emETf9M14hK+Vb+X5b7RJXbzQeoKwQO51SLXp4T6WZWZ7U18MMTwngVMFh8MZjYT6cCBMyr66M2h7hL84eXRDvbNfW3IiVTOGYYTyeqs0PiO+19H6+/eztD2mS3bK473gwsh7gY+JaVsmZYZTf66NwI/BS6XUj4y4tingNswM/PHdMKvW7dObtq06ZiuK5NxBg9cjuLXiAcMQuJ7AAS2fp547yYiznpqz3k9pf4NJGUp3Yn/xMBDkUPFiCaRSYkhJTbh4lubhpHAJXOcLOzqxlbnpWh2McVuD6qvnKSiYlczyqM0kjn1KYSzgmQw17EmpYHUkyianY3dLTQnh3nPotPRUs74dz35e37XvIU6dxGt1/0Xb3z452w4uo/ZRaUcvHZ8N9NgLEIoGUcIqHUXIXWDRDCKIQ26I7nmlxKHC4eqmdnX+iCT5Qps+ftuhvf3IVw2Kj9+KWUuD3ZDWE56I6mTDJm263jsJ+iJ+wANh/tHCOwgvAjhwOZ3WWaul79zP9GeYYqW1FH/znMZirZR5Mg49KPJJOGhH2NLPIvERajolyDGjj4aCaeqUebMdVB/ZtP9fH2nSau/urSOLdd8Iud4MhzDSIxNLAigue05vorJnKPYNRKxO4iH7gUU3EW/IxlIBUwIgeKsHJVgJxQFm298epw0YoG7iA6bZkmKv80DXQYPtu3jo4vPZpbLjZCmD04Kf853OBDsJaEnsKuCklSZalf8PpToXwEIuX+DXfMTpw8t/jQuYwcu/7tG2fsToZhJNQEgXAiRy92meRz0JsKUOz2WabHnhSZa/7YJ1RVh/g1n4izzobrsKLaMMO/bdpi2B7djxG3IhJ3lN78BR6kXaYQwjDCd0SSkrmUYkq6gaT0ocYZwaZLfN2/l2y8/yXBSZes1n2VBkblpkUYQKSOAgqJmlYaQOtLINarc27KLf3vhXuv9o6/7CIuKx9r85B9vKJKgf/cAg3/dCZjabfsju6z7v/Hd548x3tgQQmyWUuanfc7CcZu5pJTXHe8YU0T6lygep0/zdF9UaHZUtQHJYew+hWK/QHMtoPPFh8EbwbVgPY5aL/GQxCb6mFf8ME7/jSja6FoQ8aO99EUNWr0Orjk/s/vb2tfGF578HY91NLH9mv+gIWXmEYqG4qyhf8dh/I3V2FQ79qKxM2wvKlrKRVnvDWnwUJupTZ1ZMQdFKNy88iJuXHwWF9eMNnIZ0uDKh/+P08tnc0P9apaVVFPsyOx0hapgLzIfsDnF4znwJx8JVLI8yvD+PmQkQcmgjtOrseu7/0S1a1Ses5DydQ3WNWOdJqWN6liBs6RhzDEdZd4UC24QRVEocefSgrhV0LwXERl4FkGEKttRNMdpk55zGoY0iCQTeGwOHmzba7UP5nH2T8SFlg+TPUeK01PCxAB1P66a8yY8Z7JIRE2TkqLW4fOs4vp6uL4+u3Jl/sWvzlM0qi0Zu5hQSpiUO15OmW285BpNc+Hwj3kIMM1wvl6d7pf24aoqomhRLUOpyEGhluCvX5JDeJrG8N596KHMfTq8v4OKsxYgFA+q4qFuxO09e0Sw4JVz3Hxyy3MAPNi2zxImQvEiGP1sCKEi1Nzv6q9tHXTEMs/zfe3dLCmbXHhxerwSLwwdTQWi2FSKFtfhX1BjbuomEQxxPDiVzVxpQZHPwF0GMN3+kjTsRVdZr2M9dxHvftoi0HPUrc8tSBN5gmQsv/aTJohMF9VKQxGCfxzZTSgZtxb/NEJt/bTc8wI7bv0bAynepMliS1+bVZEwbQ64uKaRa+Yuzxt6u72/g4fb9/PVHY/yVNe0y+W88C/I7ESH9ncQ6wsS7w8R6RxCj2RUdz3ZZkXm2BynjxonG+looVh/EDmGE1JzrCXteE9GX8rbZyxIKfnAM3+k5q4v8/mtD9ERHmZbf8Yn8r4F5qYuGYox8PLRUdUlpxuafRWkGKOO9bOMB2mE0eO7zGs4zzju8VT7EhDmAp6Mvnjc4wEgYf//PU7bg9vp3dSMkdQJHDS1ef+C6pwFNRGMEmjuRuoGw025FSlHvp8IS4urmOU2BeYDR/dO0Hs0sjd6aTzYlt+MPhHc1cW4Z5Xia6hCsamoThuay47qmLy2PRW8GoRJvi1pPaYTfkZgL78amTDNS8n4FmJtqXKYQsVRc1kuW6fwII38ETjVblOYdI0o97vEVkKNy9yCjbyh0vkZAN7Z+fmq9g/1EEikSvRKg029R/jdwS05N/n6uomLemTvrl+XJ1ppJmAvclu1ToYPdOR8Xv/CjKCR+gCKZoY8aM6JhIm5M5RJncRwOG8fRS1CtZmfMRE7tgVYCMH+oR66o0EebNuXsyhsfP3/4/Onmc7coX3tNP/uGbb9z18Ip6LophOJ6ItEBr9PMrYV1W46tBOxl6bNhp+MbSOdr6A6JrR6TAgh1JQQh2RsE1KOb8Kb1JiKwL/QZF0YbuoieKgHI27OuSjr/ml/ZCc7bv0rTb95Cikliz50MbWXr6BszXwa33ch899+1jF+FsH6WeYz9UTnQSLJY9swbO1rtypLpksKP93VTDAxdgj+WKg8ZyFL/uUKGt45fRrpZHDKRnNJKQeFEFswQ4BvGXH4sjxt0wZFtUPUA7YYuMJEd98HgK3iLITdh5E0F0DNeQ7u0i+OWS+6KqWZBBKSUMIguquVjsd2kQhEuerihfyseROPdTTlFPtJq+yumuIx60y87+m72NR3lPc1rsOj2fnu7qdxqBpLi0xT27LiKmZ7i0ed1x4eotTutmL7HzxqLooL/RXU58lAnykULawh2jVErDfI4G5T+7IVuXBmUaNrjuX4qv4PQ+9BKOMzADtzSCqDJj9YHmjO09ETezESBzH0XhR18szCb523kgqnl/V1iyyhXWJ3cXp5xqSW/u1Uu5ZD8z5dSESeJBF+kHj4IRy+d6HHtyH1LoxkK6ptbNPRZJGMpbUHG5/e0crGnhe5Zs4yPrPy0imPaXOeTjL6FNIYJtz3WRB2bM6zsHteP/HJY8C/oIb+bYcxYgli/UEqzmxk+EAn/sYMtY+z3AcSjFiSUGsfvvpK3HXHFsU3EuvrFvF/+18goid4sbeVC6vHNr2ORPbG7YunXcG/vfBX4obOE50HecPsqWXSTybcfzpxKmsmYAqM+pQzHrAc8/1Syjtm8sJaamcmNA0pzDhfR916pN5DevemOc8YU5BARjPx2wWDMQOhCGJ9QYx4kmtUcxEKJeM802XS0SdDMcJtpqso2xyUjf5YmBd6W0kYOkV2p3VDx/QkW/tN89tIrWTPYBer/vot6v74FR7tMCPFhuIRNna3pPqfGK0kjfIzGlh002Us/+QbCB4xA/OKFtTkpZZX1IoJC3XlJMVl8VCNhJZlLktGjy0w4xPLLuDeS9/HhxaeyYZ2M9fi8tqFVuCDNAyGm8z7xNdYPTMPukwAGprjNGzOTA2N5DFqWnmHltLyl6iOlfy1tYkXelpzuNGmgmytMhnbRDK6kXh4wzhnTAz/gozQiA+FmXPNOpbf/AY0T8bn5GusttKJhg90jBxiSrisdgE/PedaWt722WMSJAD/b8m5/Pni9/JfKy/lfQtOt4q3PTgFk9lI7PvpI2z78p859Mfnjnus8XBKC5NUFNda4G1CiA1CiHtS79fO9LUdFTdYr9Vyc0cz0l+ijpGJncbqSge/uKKcOy+voM6rmQ9BamFcMmhHSdOtpHYtw02dpDgQKVpYnXfMDW37LYr7K+sWc0lNI5rI/ZnXz8oVDrM8RexJhXimd9WPdTSRlGZ485WzTmydW2eZD+/cckKtvchU9FK2ietYYS9KUaqTy0M1Eqp9MUKYgicZ3zmla73Ue4SBlMN9/axF3H9kD9/c+QR/e/EF9LAZATTWb3e8cJd+Fn/NX3EV/TuKNgehmkmu0+E3MZJHkbopDIV9LdfNX8XKkprj3mgoaoVlrgQzf2Iis+VEsHmduOtMPrxsM+noPuZzO7Qvf85PfCi/SXQsFNld3LjoLOaOQQEz0blvmbeC/1l7JV6bg/OrzO/kWPwmeixBy59foH9HK8lIPNMeT6JHE+jxmaVUGVeYCCFOG6N9tRBi+jx7xwEp5RYp5eWpv7dJKW+aKcd7NmzeJRgh88dRyspQHOXYytagZ/lLFK3O5ERKHCQeemDUGHZV4M4KT9TcDosVNd7cy5nlZiJZ2tyUNpMods2iIxmJtODxaHbOrZqP3+7knMp51nG3ZuO8ytzaJz6bk/NSfdI3b/qaTlU75l3WdGFofyqzM1VKNo1E5CkSkWeRxuQedqEquKqKcFUXjRsRJYSKq+QTeCp+iKv4P6c055F+ps9ueYBPbvon+3fst9rH0iqnA0JxoWhVCCGswIRkbDvSmFzuxljImLjA6TqTr697Pdvf9J/8x7ILj2tcyNZOFLyVP8fhfdtxj5n+jsPtAyQC+T97UapPpHOIfXc+ZoWcD+3vYNe372PnbX8/ZoEyXVhft4hZ7iIurmkkOkn/S6C5m77Nhzh010aCh489h+54kddnIoRYjUlJUiKEkMAdUsqPjuj26ufxngCKnA10oBb5EXMuRQglSzOxIdQKYsHfExv+OQCJyGOAQNHm4Cz6CEJkvv5o4A/osa1UXho0I5gGi3hz0Xqe6znMrsFOjgQHGD6QMpM0VKFoo81nUkpLGFxS02j5WdbPWmRFY11c3ZiX72j9rMU83nmQg4E+Ln3wJ2zqNX0VF1Y34BqDH2kmEAv+HSPRhLPoo9au0lHsyaGDCQ98E2QI1b4Cb8V3JzXu0n9bP6l+6cp9AHqilejQ/5pz8H8AzZ7R0KJDP0NPmN91fDhCYsiBMu9jfGlbxkRT6y5iqbOMD7d5WJowfwtnVRHYniHU+xhxI8HOAfMzzvGUUOEc7cvRHGtw+K6f1NxHnes8g3j4PiBBqPdmhGI6dh2+96A5MqHo0eFfocdfRlFrcJVk8mH+eehRypO/YqG/HM0w7wehVqJoGf/LRCbGycDmMssx2xynIxRPznMxVRQtrKHzCTNZtf2RHcx98+joM//CGjoeN4lCg4e6UZ3mfa46bcR6TQ12uKmT8rWjcp8BU+j0b2uh5pLlpg8mC9v72/nQs3fzhdOuGNfncfOL/6AtPMSPz34rxQ4Xw02ddG/cz9UJyTXiPNgHrfueMeflsFF72QpcVZkw66df2kLnM/to9JRiGzaFjlAVfPOPrWTydGCsX+1O4BAmpbsA3iqEeAh4m5RyeIxzXnOw+68gbvwKAFutudCkhYmi1SCEgmY/jXQ8RjKWCjCLbUa1L8TuNqN8wrEeYsGHUYxWVA+4PeCe08bVnUv5VOrcp3buZHHQ3GEVLchvJtkx0GFVHcyOvrqybjGf3WxqRmOZJa6sW8wtm8xAgmw7+In0lxj6INEhMwkUOYtoj2lmK142y+ojpcThfRuxwC+tSKCxEIgbOFRhVb88VkgZJhnbDIDdeGvOMT3RZB1THOCohGDTL63jH1xgLl5fX72enicft9qLlhQRGfgioKMAq6zYgC6SeQJ3hDKxyUQaYRKRJ9Ccp6Nk5y7YVpJmjNUTe6xmu+fqEZ/lIMnYZhQts2hGkgk+s+nPPHNOGyTb0tZVNMfp0yJAsqHZl1jU7tMFT1akY7Qnv2kzbQUA8Mwtt/xYnlmlqC47eiTO8L6OvMJEGpKmXz4JQHwowqIPX2Ide9eTv+eelu3EDZ2jocFx57mp7whPdjazd6ibTyw9n9X3dhAfHFsbkkmDxveawldKSfD+3dTHNIyeAWud8c6ryAkDLl9bTyIQyQlgmQmMJUzWAJdJKQ+l3n9DCPFn4E4hxIdndEanEBxVNxBv+w0oBorf/PHSpTLTrKKqfSkO7w0k49sB0ONNQJxk9EXs7iv4+a4ADx2WFDm+wQ/OepJ46D6S0TYULUmJsocyRzF9sTDPdR/mrGXzGW7qwr8ov5kk21mX7ec4rayOL62+gqbhPj6wMH9+wIrSGr6yej33H80sOvW+Mj688My8/WcCadZfAM01m1lXlhBq66fqglqk1M3ELCFQtGpsrotweN+cd5zusM73tg5xcDDJx9f4OatmctndIyGEE9W+NPV6RBE02xxUGTSrFOpHUZ0xNG0XPzzr33m88yBfW3slALXeYsJzzIXN5nNRti5EPGL6gaQ6nz1DJuVKncdPqSM3mxtyqc7HQjK2lcigWQnQU/5NNIeZRPhg+xH+eWAuH54bpN5bbBEHjqTnV7XZSPvSHLblzsgwYUPhhUEP1U4v9f4yhFLMztgF/GLjn7iybjGvq1s0JqvvKw2hKtTfcC7921uoe92qsfu841z6t7VQe8XKTHuqUNvAzlaGD3YhdWNUwITUM2HMwUPdOX2um7+Ko+FB4rpOlWv8UgjLiquJ62awzCpXBULN0NN45mQEYnwoTGIoQrC117pWuGeYypi5hB+xRVlYXYvNaacu67OAGSp8IpCXTkUI0QR8WEr5eJ5jPwEeBu6RUk5cMOMkxlToVEYi1PcFktFnEEoxvuq7GW5/AxDH7nkrruJ/GdU/3P9lEpEnEcKHr+bP3NsU5Y/7zfjyX72uHKem0L314zgqd6LHHHzs8A38tmU7RXYnvTd8CVWKMSOBLn7gxzzReZAF/nL2v/XTx/W5XgkYyW4S0acxku04vNdZrAGhvi+QjG3F7roIV8l/TDhOXJd88OEe4gZcPNvJR1b6kbpBbDBErC+Iq6rIyqI/Xhy653mw30Ppum0AuHy/w+4f28H+cutnmKW+CMKBv+avCJEx34USMR5pP8CDbfv471WX5WSNG/oAydgmNMdaFDVXW4kMfpd46B+ADX/NvVad83997i/8aO9G7IpK3zu+jNd27Fn3Q/EIDkWzhMZ/vPh3vvPyU6hCofeGL+UwIrya0LflEC1/MgkhF910Gd65o32UfVtbaLnHpKtfdOOleOdND4tirC+A6rSDS+O57sM82LaPq51zWWwrwTevwqoLtPfxbYQ2mBvIt83ZxY/f+O4ZyQebLJ3KWA74O4DbhRDzRh6QUn4EuGHUGa9R2FLOQ2kMkow+D5hRFCPLxqaRDj+VMoCe2G9lwUMmEz4ddqw6Yryz3HyIh+JRXuhpHVOQBBJRK4R4MgmJJyMUrRKH9624iv/NEiRSJk3zoAwh5cQJXPsHEuzsjdNQbH5v23viSCmJDYR4+Vv30fTLJ60Q3elAfDBMuDWTSxI8+jjSkHQ89jLBlh6kbprqwsk4/dEQtuQ2ALYFynMECcCuwU7e9Ngv+cm+53ISH/XEIQKd1xIZ+DrJaG54Z3bIruZYaQkSKaUVmVft8vHLAy9x/5E9HCuK7K4c7SOt/Z5dOfdVK0iAnJyUsSLCskOQh8boA/CrAy/x9sd/w607HgXgky/9g2/sfJy9g/lJMh1lPjSPg0AixkUP/piv7XiUu0NNFC2ssQQJQJdfck9RN1ucAQ7Zo9MSRnw8yLsySSlvx6wVktfJLqV8G6Zf5TWP7NyEeOjv1usxhYkzI+CT0Repczaz3LcVu4hZmfDeuZdZfdbVDlqvxwsTfKw9E8p7ovNCphtmBNxhktEt6PHdIE0b8mRCRu8/FOb2TUPs6Tedkf1RgyNBHXtxdnjw+JUijwWLPnwJDTe8Dz3FqZSMv0ikc5D2R3ay745H6XnpIAv+9HU8v/ksNz/3v1Q5zM1GXB1tellXNtsydWVHhSnaXIRiailmFnoG2SG72fdi03Avh4JmTlJraJB/e+Gv/HTf8xwPDgf7rRDyU/0emwg2vwtXTTEAQ2PkoUwmBBngR3s3cnfLdu4+tJ1gIsb3dj/Dpzbdx//ueWbcOZQ43JxVYQY7tIVHu6r3eWPcVtnKjbP3gZg6/cp0YcywCSnlVmDrOMc/MiMzOsWgaFU4iz6KaluCnmy2eLjy1SCHTFy9kTxEMvoSJWo3/97wIMGkl83h3wBO7J5qYqFGM6pJ38HN8VV0hIbZduAArMkflZS+kRyqxkU1r0wo73QhMnAricijCLUau+viVKuwNLaxYEjJjl5zsZ7n12gZNkO3t/fEmVPvxl7sJt4fGjfXZCpwlhczfLQRtWI3tuImhg9kco2KFtbg6DC1z+bhgxwK25nvjtNYPpoOXFUUrqhdyF2HtrGh/QBJQ0dTVIRQcBb9G4paZvlw0sgO2c0WttkLy9qyWWzuO8q+4W6T8G8CB/oj7ftpDw/zurpFDMQi/PrgJh7vOMj180+z+pyq2u+xoGhhDZGOQcJt/SSCUWxe0/c2tL+DgR2t+BfW4JtfSbhtwApBzse+vH7WYl7sPcK2/nZ+37yVhKFb7WlEOgdJBCJ451Va1S4BfnL2W6lyeanM8r3E+oOoLrtVSTKNvUPdtAT6mec7vkz+qeKUTlo8WeDwXovmWIZAQahVmGHBo1mC00g/9HpiLzJmFmhqDi2gI4vCK50joCf28eZhB5/onc3lB+x0R0YvhGZIsLmTvbCqHrc2NpPwyQopJeH+W4kO/Z9lzpJ6J/GwyXum2haiqMXjjtE0mCSUMH2A6+e5qHSZt/f2HnM8Z5rwcRo1kzR8s01KEcUWJtRl7sEcZT4cpV6ruNeT/X5WP7OUa7acy/zi/DVa0jv+wXiEF3syhbDs7otNM9aIsNl0QuLIkN30/VDnLuI3F9zAzjf9J3ve/KlJRWL9YPezvPfpu1j9t++wa7CDW3c8xvM9h7k1Ralf6fSyumziwIBTHelcFc3tyNmADL58xPKpZOcMDTfl106ytbjPb30IALuiclFW/lbPiwc58Isn2XHrXzGSGef+itIaS5DEh8Ls+vZ97PrmPxnYdYQDKWHizCpTMZIs8kRi3IBuIcS0xZK9FkKK7Z7XY/e8HikT49Ko2JxnEA/eDUhcRR/hd/s0mgMObI7MTaQ5zyAW/AMAZRVHCQ404m2sJB9l3/7hHlqCZtXE9Sc4W326II1hEhGzLI3NvT6r3fxckzFxpYUGwKoKOwcHk2xojbCnP0E0Ka2qhdG+4KR26ONBjyYItvTgq69EsWs4is4hHv0BAMK2C1htEQ42+rKdt4IVFatHD5hCtgP1wba9nFM1b8y+UsZIxswoweyQ3WgyweMdZlne9XWLWFI89sZmJOJ60qLUuaJuIZfVLEQVCro06MoKO1fEq38f6p1bzuJ/vQJ3TYnFNiyltJJpffWV+OorUZ029GiC4f2dlK2eP2qc08tnU2J3MRCPWN/h+VX1OQERaUoXd21J3hwyMKMB0ywKrfe+xJrqBHttbuY3zGHfcA/LiquYk4dz70RhojviMWDgOP8GU/9f9ZBSYui9iAkKK6n25SBMdTgZ30VIOYv9waV0ZrEHK7YlGIlUffk55g71HZdemjfUMJ2tDqeuLdvQM6Yhm/NsiwokDW0CmnkwzVkAc3wqpU6V0ypTfgwDdvfFLY4uI5awsp2niuGmTpp+/RTb/ucvhI72oWiVKNo8ANyzzd8rzVLb6M8lyRzvN6p2+1ldavrbHmgb7VCVUqKnQqhNQWJ+ZluWsH266xAR3fQZjaTOmQjPdrcQSpWNXl+3iGKHi7OzqhZONP9XE4Sq4KkrzaGtj3YPk0hlxfsXmBxrdetX0fDu85nzpvxmWE1Rubw2Nzw3+zuM9gUsbXks2qDBWIQ/t+7AuyCzMbiq08c54SIWFlVw4K238PfLPsCVs6Y3X+dYMFGq6dTpQF9jiAX/QixwFyDwVd817q5XCBuaYw3J6EaS0ZeocpvkAgMxg4QuURWI6irxgXqclXvxNhxiYMsV6EUe+iIx4kYSIZNUuBQUIXiwzYzSme0pZo67HMNIoijHl0VsSEkkkRylYdlVgZbepRkRYBK04cKFLhXieq5elU0lk81pFqcWbOtAvz91voeYWEQ8kSmF7NSExV0G0B/VaRo0fSSrKswd37IyG6oATYHeqE59Nntwf9CygR8LzFokMovPSVgZyZrjdOLJFlw1XSjOqJWF3Ogv5/qaPrrjNl4cLMoxb+TD+lmL2NrfxqbeozQH+ixKcmIbIfhTMPrwVv0mK7JLsXJLIGPiUoXCZTWZRSxp6DzW0USjvzwz5gj848ju1KcS1gK4vm6RFSkoEFxed2LyFk4mGIkkUjcY2pvrDwOoOCNTWM6IJ5HG6JLdV1Uu4L6Du0gIg7gic4T88P5MdKEvT0LyA0f38MZHfoEuDZ6dfx3ZAd7fvu49UOW1NEXdMAimsl/dmt0ijDwRGHfFkVKe2MLgpzCkjCKNPkBB6h2ICZLNNMdakrEtCOHm0rpBzqmtpdKlYlMFg1Gdmx7t4x3aMi6q3Iui6bjOeYQPbDifTcMP0RzdzifmDfCFhS0A3Lb2Ti6obuDBQ3E+sKGPry/7ODU138LpmBoHVH8kxuGj/0G5rZ1bD/wPffFM/Pyn1hWxtsq8ncMDXyMZ3TjheELx83Lydr67I7fa3vIyG/91ZjGKEFayJ8BNj9tZ7l/ER+ebwmTzwHJ+ujVXub31vBLqizIa4O0vDVkmwFUVpkbi0hS+ck4Js30adlUQ6c4qrpVFhDcZSCk5+JunGdqbSwroq6+0SusmBhZAyl3lbWy2wjgbfeX8ZEWr+VkCNXgmyPdYX7eIW3eY/omGP91qtZ9VHOTBM0wW5WDXu6121b4MoWQEZdr5flbFHCt898BQD6f/83sMxSfH0XVGxWyrFPH6usX89xbTd7WufBYVzvGqar76IA3J0L4Omn//rNVmL/HgKB9tJTj8t030b20Z1b4ceJLVxIXB92d3saw4K/Q4ZeKKOR386/YEn3EkWFSaubfXls1CT0VqPmzv5o1Z4/rrynM0p12DnZz2t28D8JdL3sub566YykeeEl79hs8TBDPqSAMMDGNi95DNeQ5IHYSDYoeTOq+GbQTtx5Px8zCSqUggZXa+YQBYUVLDZ1ZeyrqitRTb+nErg3QPPDjlz7K/Zyv17r34bcOsLpoG+nJjmDLx8Kj2XX0JmodMbcLSTJQKEtLO3sBywrq5e94yOPmqfkV2weKSzIPYUGyz6FQcpV40jwOhqcfMQhztHh4lSABKsqhePLPOQY+Yi3fJkkyt7dmeYnYEUiY228TmurMr51nF0bLx0pCH9uhoE6rNlblWa3CA3YNmlcBs/0u9rwy/bfKa2FuzFqHVZbXMTzHhvvUELk4nC5p+9WSOIAHzd5+Kz80uFd47XGudm10Jcr+/hIgOd+zMXT8qXT7Wlpn32T96D+Cdb27uys9onPFSvMeCiRzwDzNNdO5SyhNXXekVgKLV4Kn4DtII5hACjt2/MtV/GEXL9Q84NYX3LPECjezu+2/8yh7cVat5T6WXlQOn0RKqocLZg/BoODQBqQify+Z6KY19BZuSIJl8CXj/lD6LltwEKe34vOp+asvNnahKmFneOKQUbbt7PZojP1UFpBLqwvdjJFspV7fyniXmfBKG5A/7zNC1bT1xGottWTQ0tanP7mWv/nVcRgdLas5mSU3uQ1PqzFXfX1/vJhA3WFVhHyWU01A0lYUfuoRAc5f1MCdDMQKHuimeYHHIziOouXQ5qsOGze+iZHlGyKs2F07f7cSGNlKyPGN2UhWFOeXvZXtokIvmvWvMa6RhU1SeuPKjPHB0L8aIkItbW2u4eaGXWW4/HpsdoZRgc11kHc+O5smm1FEVhcfWf4T7j+5Bn6DyYoXTw3XzMr+rIhQeWX8TL/a08pbXoDCZ+5YzGNzdZiWgqi4bJSvm5O1bumou7pqSvMc6txyko9bGGedm7o1gSw9GqsxCc4m5RB4N6hhS5phx19ctYnPfUbb0teF707vgYDe2RTWjAklq3X6+fYbJvbaiZObYqfMhL52KddBkD56WoGUp5aPTMc50YjroVE4m6Ibk3u3f5fLKfyKlgr/mTyhq0cQnjkBzywcosx0GTD+Ap/zrAMQCdxMd/ilCKcFX9csc08pI9Ed1PrdxgBtm38sK910A+KrvsogIb36qjyMBnYXFGl85t5ThjjcjjWFs7qtwl0yN/n08dIaStAV1y0QH0Lc1RZkhYdl/XIWzfOzgxc4n99D19F4Uh8bym98w7WSH04W3PvYr/nJ4JxVOD53Xf+E1EXV1KuPoA9voenovEvjBGecTtZma50gz7jNdhzj//h8C8Ovzb+DvR17mTy07WFlSw/Y3Tf/zko3J0qlM5DMZM2mxgJMPqiJoi68G/okQBsnYFuzuiyc8LxuG3msJEsh1jBu6uTtP6HG+vinBjSt0ylz5HXzbe+L0Rgz+cXQZK1L+2mT0JeyeqwA4rcLBkUCYA4NJArEhZMo0qKjTn7/wm90B/nkogkMV/PyKciuAwF1bahUbG97fOa4wqb5wCVXnLyYRiJy0giRh6DzSbob1vlbCd091OMp9uGeXcWAoaQkSgG3d8RxhclbFHIrsTobiUR5o22slLNa6Z5YJ+FhQuNteZYiKZUR1c/c9lXKtI8vVGnonUpp+DZvrIkK293F/53q29SSsUNx82JY61pdoQCjmDZ/IqviXdpI7NUF3IJOc98eDx65JTYQ0T1dMl+ztzzjhnZV+bCnCx/G4ldIQipg2gsiZwHPdLQwnTAf7ayFD/VSGkdSRUlJxegNzP3QpwavPZZ7f3NtfOMvJwpJc31h2ePHDbfv4+rrX870zr+EDCybvT5xpHH8VmgJOKlR6nOwLLmNV0RaS0ZeOOTlvtAAyMPQuVK0OzbGK6oqVPLmtF5Bs741zyZzRZH+6IdmZojVZUeFEc6wjEXkMI3HQms/iEhtfOKuYhSU2EuGdxFNpHzbb+KWOp4IV5XYEphKyvSfO8nJTkAkhKFpYTe9LzQSauzESSSsy62TF/qEe/t/z99I03Mud576NS2sXWMeqXD4+vvR8Hmrbx+VZ7QWcPIh0DtL28A4CB7tYdNNluGtLcNsU3rHUzztg3Od1fd0i/tSyg75YmBK7i39fen7efq8UpqSZCCEuEULcLIS4VQjxRyHEj1PvL5n47AJmEtVulV3DpvNUGv0YyeZJnyulTiKlmYisIkvZpi5FCFaktIqdPXF0Y7TP7eBQhtZkVbkdh+96PBU/wlv1S+tBsamCpWV2NEXQE8xoJvUl+R2bxwOfXaGh2BQS20ZoU2k6DJnUCRzKX+q069l9hI72IfN81hMNl2pjQ/t+DgX72T+cO99FRZV858xr2P2WT+VwORVw8kCxawztbcdI6Hm14fE2fiPZEU42TFqYCCHmpYRGH7ABuB24BXgbcFPq/SNCCD3Vb95MTLiA8VFfZMPlyoSfJqMvjtN7BGQcXG8BbSl29zVWc3YOCMBpKWESSkorUTAb20bQmqi2BjT7IsQYNvzhiJnRPZQoZlnF9Ju5IDPn1kCS/mgm0dLfWGWxCQ/nYYeN9gU4et9W9v5oA90b9486fqJR5/FzdsVcrp9/GvO8+aOGCjh54Sj1Wvkp7Q/voG9bC8nw5NgYZnmKWZ7KT8lmvThZMClhkqquuAUoA74OXIEZMtyQ9bcWuBz4CGap30eEEDfPwJwLGAeLSm28f9Uiq2petp9iIgjFxX1db+XGTZ/j/z1/KXbfB3CVfA6b82ySsZcJD9xGdPi3rCyNWOdk82Fl2szd/1y/Rolz/AxcKSWxhKn5BPRqfPaZceOls+IBdmRpJ6rTjneOyZ2VnYmcRnZIsL9x8hxXMwVFKGx8w7/xh4ve9YpSZxQwdRRl5Ti13P08f32kmRc7Y5aWfySQ5O79QW5/aZCR0bbpzPnneg7z0Y1/HnX8lcSEBuJUZcUmKeVkQ4QfJVXrRAjxYSHEH6WUbz+OORYwBWjOM4iH7kWP7yIe+iemfAdQsXuyiBSlTiLNzGtfTGfIXFg9NhWX/51Wv0T0GRJhM/GwqPoqi+L9uY4YZ9Q4mJcqWxyIGxlak/Jc9mIpDeKhexFKCXa3aRH9+BP9fGGBWXNezEAkVxqNxRoemyCUMHNcLpqd8fX4F1YTbOkh2jNMuC/I3qSNuX6NMpdqCRib34WzarTWlDQk23vizC/SRuW+ZPfZ3BUjmJBUulVWZH0vXWGdXSn/kqaYUW5FjmMXqLe89E8iepJr5izL8aMUcPLBv7AmR8u9T/chdgxz52Xms7ezN86fD5j8X39vDuO1KZQ4FE6rtLO+bjHf3GXWnv/Jvue4bvZVpK2vpU6F0yrsr1i04URJix/GLM87pRwRKeWdQohHhBC3Sik/M6UZFjAlaM7TiYfuBXQig9/JOmLLESbmcZN+weH/EJ1hs85GdgVIyDJ1CSdCKWFVRYiW4STtIZ3tPXFLmCQMyeVzXGxojVgRWwB64gih3o8hjSEUba4lTMqdBv/sfDPX1PyJIvfYWf7HC0UIVpbbea4jhteW+7AVLaih8/Hd+BqqeKYlyM86FardKt86t4hAs5md7F9Qnfchve9QmN/vDTHbp/KN80vz9vnbwTB3p0ozn13jyBEmBwcT3LEzQ2++sDjCV849ttQu3TD42YEX6YuF6YgMF4TJSQ7f/NzyvmG7nbPL7agpc2v2c/P7vZm6FB9Z6eO82lxW4p/syC1J8f9W+Tl/1rFzzk0HJtoCPXK8yYZSykOYprECThD29sd5sG0hQWPuxJ2zIaXFXFzlHilMTFOUotUhhODCWU5c2uiFs9Sp4tQE8/0ai7P4hRStBkU17b2KmiFDeNfSYo5EFxA3nFQWz2x0ymVzXGgK1IwQlK6aElZ97i00vucCftZpPhKdYZ3mPZ1WdnJ23YpspB/2gejIXPUMnuuYHB8WwP7BJH2R8ckze6Mh/nZ4F9/a9QS90RC9sRArSmrQhDIjNcALmF4oNo3KsxeCgAcazRDubAFS61FZOUKrB3i+I4ZD1fjPZReiCoXLy68a3adz8vfadGOipMVD03GRAmHkicUzbTE2tCa4V7uVOy8VE6i9NnzVZob6cMxBTDdvxmqPih4/QCz0F4xkO3rcjB5J+2LqvBp3XFZOIG7gHrHTf0ujm3cs9uTQQQih4an43xQZZkbIzC+ycfNZ52NTzkNRZnZHtbzczs8uLyeeInUNJgx29caxKYK1VQ5CiVy21/69neZMhcip953GUCzT//K5rpzPm0ZfROdIwBQOV9e7ubohN09lbZWDH11SRmsgyddfMh+THb1xLp49OuQ6ja19bbzpsV8CsKZsFhfXNPL4lR9lOB5FPUkTKgvIxew3ruGFhgZ2HjJ9jtnCRAjBZ88oYiBmICX8YV+Ip9ui7O6LE9cl3zzjjXxlzXpcmo1DQwnsquCe/SGe64ixqzdB0pBWYu6JRCFp8VWIqtTOO5QUhI1ys1Rw1l82hBBWe2c0s5hXu1WkDJIIP4we3wWYfhA1q7a9XRWUuVRcWu5t5LYpeRdWIZTUtYpz2h2aY8YFSRpOTcGfcvJ/6blBvrNlmL8eNO3Tad8FwH+s8ePrMENvPbPL0Fyjd4rZjvzTKkYfB6wywgBn1jhGBRg4Ut/hqgq7ZX4bGb48Etn1UbJLt/rtzgkZiQs4ebBtwNxkpOvvZEMIQalTpcylcnqVeW/FDdjTb94bLs3ckM0vslHn1Tg9RRMU1SX7BhK8EphqnklePXw6KzMWMHVUZ5mosgtuTYTsvtUeFUWtRSilCCWzeCkTUOufSlhZbj6QBwYSBBMGe5oHWNN+hFU9HSxz6ES7TU2haOForQQyIdAuTdBYnL8gWlow+GyC+qKxDQGKEKycIH8njdmeYqtOxcg64AWcGghmB6pUjL8BWF5uZ3WFnfct9TLbl/8eWlFht0JsxmOmmElMKEyEEPOFEC8JIb4mhHhzSmCMpUOVCSE+NL1TLOBYke087wxPXph0pfoKoMKlomhV+GvuwVXySauPok1/hvorhfRDLDEX8Kqnt3LZoQOc3XkUuwKV5y7EWeHPS1dvSJMBAMwQ6Lv2hfjkU/05OTa6IdnZk2YCsOfV1rIxUf5OGpqiWpTwvz64mV8ceJH2cMGSfCphZ2/c8rGNpdWm4bEpfPqMYq6c76bUqbJ/IMHmrhjRZMbM6k8l5s72qZRMIRpwOjBhaLCU8pAQYhD4dLoJkEKIhzBzT14CtkgpW1J9G4QQp0kpt83UpAsYH1VT1EzSwqTcpeTQuOdkwL+KNJPFpTbsimk++OehMFVFpVQOD+MfDoCi4L5kFaGzl+MpHf2wHxpKEoiby8G6Sge/3xfEkOau8LSUkGoaTBJKmn0mWjAAy+la7VYJJkZX68tGo7+M/cM9dEYCfOCZu/FqDvrf+eUTWlmvgKkjrbE6VMGikvxa7Vi4/1CY5zpilDgUfnxpmeUT/fxZJTjGKL9wIjApIiIp5eVgUdI3AHcAhzCz32/BFC4Aae6Oy4CJqwAVMCOwq4JSp0J/1KArPPYOdyT+32l+3rHYIBDPXcgsYSIcOSavUx12VbCszM7WnjjNQ0nOW1UHR1oA+Mfjh7hbK6fCpfCDi8tGBTFkmxLOrnWwqTvG3v4E27rjvHep2Z4wJI3FGgcHk3mjc0aixKnyw0vKKB+DiTkbjb7ynPcX1zQUBMkphKsb3MzyaUQSxpj1d/JBN6Tlh1tcasu5L19JQQLHSPSYoqTfKoRYJ6VMayppIbMOMwt+HTAwxhAFnCBUu1X6o8YxaSaKEJS71JzFTBoREpEnzONq9ZiUKKcqVlWYwsSQsHRZFQOP2tEjcap6eqGmnJ6IQXtIp86b+6gcHDKdnLO85vd1WoWdvf0J2kM63WGdSrfK8nI7Xy0vJZQw8Ngm971NRpCAWVc+G+sLIcGnFOq82qh7aiI8dTTCr/cELd67yWi7JxJTWhmyBUnq/VYp5Z1Syo9IKddJKa+YnukVMFWkI7qOxWeSD/Hww0ijHwAhXn2RQqdVZh7IHb1JizLF1dxOfb/p3M4XXXXz2iK+cX4p719m8ixlh3aOdIBOVpAcC7IjugDWzypQzr/asaM3bplWIfeeSyOaNNjcFePXuwMYJ5hqZaIMeL+UcuKC5gWcdGgostEd1ql2q+iGRFUE39s6RDCe/wbTpeSiWU4umJWb36Bo+SOZXi2odqtUuhS6IwbbemKcvbCGgZ0mi/G1e3Zw+7mX8I+DYbZ1ZwTEh1f4qHSrzPFnHp95fo0iu2AoLrm3KcSLnTEuqHNOKRs5rku2dsf48Y4AC0ZEidkUuGq+e5SZq943efNj63CSvzeHuWyOk8VZ/qBDQwn+2RzmirluFpUemx1/prG7L85jRyK8qcHDrDEimk5mPN8R5fEjUQwJs30q1y/yYj9Gs9SqCgdPt2UCPPLx3m1sj/HTFKPC2TVOFhyjP+Z4MNGvcpMQ4h4pZctUL5CK/rpNSvnRqY5RwLHj8rkuLp+bKxj29CUYiI3t2N3bn+DepjCfO6vYinvPjt7SnCdPIZ7pghCCZeV2RF+C+UU2/n97dxokR3neAfz/zMzO7KXdkXZHWiQOaQVCSMAuK3EEYoxBAjumclAStslZAaQUH3IUDgIqSaUqSRHJdlUKl20kyAfnoAwSjssUMUErHEwA21qtTkBIaHUgdK12d/aYnbuffHi7Z3rununZOXafX9XUopnumXeann76vZ63bUly5Nala1U6/LGwhrFwMpiE4pkBWQ3t9eDdz0MYCWkYCUUyFjiy6nsHJ/DL8+qiYZ6nYrgwHcfWLyRTrhiLJln1wqEJnBiP4WIglpK65fn9EzgXiOPQ5QheXO/L8w6Vt21gHMEY46ORKL5/X2fhHWqIxowXDk0iqA/GODoKXJrW8GB3U0owL8Tc7/alq7LfpJhrKx+PRmonmDDzt4joVSL6ETP/uNg3J6L7ADwF1VFfVkS0CcD2HC/vYuayf2a9W9buQmck/yihm33ulAlUTteV8LQ9Ci16Gp7Wr890Eatiw3Ut+GF0CotbnHC3NeGqB/swdWoYS+7vxeGTEUykHbNciY03XNeMQDQ5gKGjsbTmrQ3XtSAU48wZ+SENIyEN5wNxEBx46a6N+O+zR/HdO363qPc/M6kGZXhN/5+no6pvCAAmIozRUDxn4spK05gTF+KRkIZInIu+q6+mkaCWKP+iZifa3AQGw2exf8zQ7nHgT1e34sORKL5xfWvWbTqanGhtIExFuaj+0nKwMjT4YSL6ZyLaCmAX1FomQwBGzU1gpgmLawH0AfgagAEAD89gU9mg/hnp9s3Q59W1Lbd6S9qvcd4j5S1IjelscuLJNcmMwAvvXIGFd6q7/ac6rS/T29XiKvkYm101z4Vnbst8n7fPBLH98CS8HgcmIhoeXXE7Hl1xe1HvHdc4kWXWPLn1cFoN6OBw/pQulTQSTAbVryxtwgx0Qc2oi6Z+y8dummdpZF8uDyxtxgNL82/T1eLEp/6Y7f7SYlkdGvw0Eb0KlbBxC9Rck1w5nwgq4DxtN0mkBa8w87YZ/gwhasJdSxpx15JGW0NAR0IajFY68+TW9EEDB2oomJgvin2LPFVLsV4qc/m7mme+treoWQ8mtVYzMTDzIID7iagdqtbRB6AbwAIAo1C1lRMAdlQwsaO/Qp8jRNWVYx6B+QITZ8bPTk5j/TVNaHU74PU44Nf71M5MxPKuR15JKWl+KnAxLjej/E5SE4JnmnGTUOkmwaKHReiBYscMlKVYXgAgou0AHtb/PQhgCzP3V69YQtSuC6ZJrP96ZAqASgfzyMpWfOP6Fnw8GkWji7C0zVUTgQRINhMZF+OY3lRXL/0mRjBZ2OwsmFKnHMwB99J0vGKj3+qs9THDM1C1ocehAlwfgN1EtCHXDkS0iYgGiGhgeHi4QsUUonymIhrOB6xnNjDL1vRhZD8mIqzqcKO7vaEiFz2rLujftaWB8J1943j0rct49/PqrdtRrPXXNOLr17dg/dWVaTbsakkGj4sV7Dep52DSD2AZM29j5l3MvBlqDXpAXzY4G2beoU+sXOvz1dbwRyEKeX7/OB7dfRnb9pbWkmxcXJa0OhNZjAulvK+2+Y1OdDU7sWJ+Az4ZiyIU56plxi1Fj8+D37u2BV/ttj6Yw46uZicWNatlDSqZYqXo+g8RvYJkcse3015rB/A4M3+7yPfcCSBnbcKMmUn/O5jltX4iGgTQR0ReZvYXUw4hap0xXPdSMA6NuegahFEz6Wp24po2F4bGYzg5EcPeC2H0LUwuHasxY2g8hsUtTjRXefjUozeqLAPMjO8emMB758I4dDlStUWgal2bx4Hnv1T5HHqlNKb5ATwLwEtEjOTw3LcA7AGwnIjuTQ80BWwB8FwJZclmAECfBBIxGxkZoWOaGjLrK7JD+sk17TgfiKPJRXAQ8ONP1cJg3943jifXtOO2Lg/OTsbw9x+MYTLK+PPeNty1pLJriucKkkSEXp8b750LIxhjfOqP5p30l+t9NGaEYpkTTxscVFTSRZGqlA74zVAz42+BalZ6GsB8AJuhhgwT1FwTy1mDmXmo8FZJBWod3VBNYELMOovS1qopNpgsbnVhsZ5gMH0Brhs71GzprhYnjPmSB4YjFQ0mrx0P4L8+DeCxG+fhnixDk2/2eQCodCEHLkVyBpP//HgKb56axhO9bfiNK1LLfyEQx1+9M5qxj9sB/GVfO9Yssp+DzhgJt/9SGB+cD2NRsxNfXdaMRtfsDVYl11/15I7bmHkBgK1Qs9zvh6plvFqm8uXyDBH1pT9JRF6oYLJ5hj9fiKoodRXNbJwOwt16oOj1uRPNWS4H4UZ9FcpDlyNgGwkDh6fjePPUNLYfKjxvOa4xXj0WQFQDfnBIBYxzUzF8NBLBaCgOZobX48BSPSfawSypZgCV2+ynQ9OIaMC/DFqfLx3R1Fohduw5E8Q//HIMzx9Qn/vJaBTvnA1h1/EAXBVsLZyKavhoJIKffxZELM+qneVUljFjzPyinjplGTN/qxzvWcB2qFFbG42+EyLqhgpqm4ut6QhRLzqbHHASEOfyjNT5k9WtuKmzIWPp2B6fGwMXI/CHNZyejGFpW2k5nt4/H8LLRwMAgN9Z3pwy0igdkaodHRlR6f1HQ3G8czaEn5yYhoOAf/+yDy5Sge/URAxD4zGMhzW0p60s+NFoapCZimpoNfX7tLkd+MMbUtOR7L8UxpGRKI6ORRGKcck1iI9HIzgyEkWTixDTODFh0dfkqGj/zt4LYbygB+SVCxpwRZ7jXi5Fx0oi6iWipenP67Pd9xDRN8tRsHz0YLFL/7wxItoNFUQ2yhwTMZs5iBL9JheKHB782vEAtrw7iuf3jydqGy0NDtx9ZVPGBdkcXOyMnMqXmj+dgwhfN+WcOjgcyXoxNr9ntkSY6Z9zJG2bVrcDD3Y3pzy+skyNtIppKkNxqYzjFowxjo1FE7XHRRWebFnqaqt2lFLx2gXgBBHF9bXhf0BEDxHRNcx8Emod+IfKXM4MzLyFmefrj/XMvGWmP1OIWmDMcC62ZnJ6Ipa4oy80IXFRsxNX6J9jTr9fjJ+eCOBiIA6Pfl2zEpSWe11obaDE9smLcfLOesX8BjTpNYfPJzMDKgEpTUrG0OeXDk9iz5kgRkOZx211h1rCeeX8BjhKuCpqzDhwKYyV8xtgHNkDpmBoLn8lmFPlVCqYlPINt0EN490JtbLieuid76YTdAhA0VmGhRCFGXedl4NaUSlPkhc2a3fJPT43zgeC+GQsimBMQ1MRjf7TUQ0/+iQAc7b+IyNRROOcdcSUxgyCqp3c1OnGB+eTw3+B1Iujy0H467XtWNLqgteTWaY/WjUPj6xsxbPvjeH0RAwHhyM4H4hh95kgAOD3V7bgt5e3pOzT5HLgpft9Jc/LGBqP4bm942hw6IkLAfzf56FEtmBz+SthvscBt0P1A1Vq4mIpo7l2EFE3M78I0+RAvUN8HVQHuL9sJRRCpDCaZTobHZYDCXMyJbnVC1uvz403TwURZ+DI5Shu7bI+yunISDQRSL54ZSPeORtCOM74ZCyKG7NkzX3/XBgvH51Cj8+N5d4GfHA+nFieFsjMybW6I3/mXZeDsOG6Fnw+FUOPz51SK+r1Zf8edib4GbWfqAbcvaQRv9DXtTFUOpgQEbpanDgzGa9YMCl1fMFzppTzANQkQn1015+lL+srhCifziY1w9lZRIfueFhDOJ5cU8OKGxa40eBQ69zHixzRdXBYLe7V4AC+tqIlpeknmwPDEYyENLx/Low7sgStUi7Gt3Wpmefd7Q2JYDLf48BV88p/YTfe/8pWJ+67OnModTUSVBpNa7XcZwJmHpflfIWoH6WkQW90Eb5/bye+88UO3HGF9bkmzMl0J6s63OhocmK5Vx/OOxzO2F5jTnSk39jZAJ8+O98sVwAMRLVEB3tMY7wxNI3PJmMpw5mjccaHeqd6j8+dtzbnD2v4xdkgXh+yPkR4Kqrh+Jgagdbrc+M6bwOaTaPBCCrJY6WZ+9YqsR58PefmEmJOUzO586+caUhJ417EXX5blj6JQs4F4hjWF7Tq0Zu0evURWGcm4xkd4Kcn1BBftZ2qlTx7azseulaNsMp1MX7j5DQe230Z//RrP6ajGo6NRfFvH0/hm78YxS8vJIPW0bEowvpH9vryN4+9fHQK3zs4iZ3HApbnZxy+HEn0k/Qs9MDpoJSmvLsWe6qS4dj4/xxn1b820/L2maQ3ZdkhNRkhyue5X/vx4UgES9tcuDfHIlb3XNWYSCdi1EwIKHq5WEDdsQ9eVBdoj5Nwy0J3zpxd5qYsYxjvmkUeDAc19Pjcibv2n38WBDNwZCRze2+jE3FWnzXPTVkvxktanYlVI3cdDyQCGAFYrc+MHwnG8Y+/8if2uanAKoe9Pneif+e144GMY9W7MHVZ6/2Xwtijd+wbo8EA4LeWNeHuJY1Y3dFQtdxmXc1OeJyquWs6pgGY2dpRoQ74twHcYvMzCGqAQ/2taiNEjdJYdfYe98dw3D+ZdZu7r2yE0a3S63PjJ59Oo7PJUXT+qVCMMeSP4vWh6cQ68Xcu9uAvbmnPur3RxNXZ5MCSVvWz725vwBM9qRMfdxyehPnmf3GLM6UGYqyxEsiSRwsAVul9OlENeONkMPH8snZXokbV3JD6XVvd+S/sN3W6ExcsI2+Z2d/e7k0JJq8PTeNDfZLl6g53IujdkCdnWKWs6mjADx/wVWxdmkLB5L6KlEIIUZTfXOLBkZEIrGbKWLnADQchkT6lGLtPB/EfR6dSntt3MZx1mG8kzolJfz2d+fsnzAjA/ddk1rCIKDHvJJ3bSVh3dRN+dioZSAjAA6b3aXI5sO7qRuw5E8ITPfMKlmOe24Ev6KOxiuEkYH2W8ldTpdekITt5d+rd2rVreWBgoNrFEKIkU1Eta/ZbQ0fa0OGJiIa2AnfmuUxG1GiwA8MRvHhY1YT+5nZvRrNRMKZhz5kQDg6H8eWlzXmTJl4OJvtOGp1UsNaQiz+sJfo3Gl2UkjrFEI5zUUN//aE4sh3aNrcjpcltPKwhqjGaXVT1VP0zhYj2MfPaQttVdlqmEKJsWhscaC0iZVapgQRQd+zzANzR5cFLhyfBUM1Z6cGkyZVMVVJIZwl9N9lkm7iYrtg5JN5Ga2VLT0MzlxXqgH8Lapa7bcxc+dVahBBl1ep24DqvC8f8MRwYDuMP0hImirmrUM1kC4AFlSiIEKI+9Cz04Jg/hs8m4xgJxtFRphqGqG95gwkz769UQYQQ9aHX58abJ6dxs8+NqGkEwLtnQ/jVhTB6F7pxz5WNsqTuHCN9JkKIonS3u7BjfWfGaKFfXQhj78UwPhmL4N6rKrvUr6g+CSZCiKJkG3Ia0zgx+bDH5674sFRRfTIUQQhh27GxaCLdevqqjWJukJqJEKIkQ+NR/O9nIfzP6SAWm/J93VwgZYmYnSSYCCFKsv3QJE5NqJUOjTQr3e0umXsxR0kwEUKU5I9XtWLX8UBinZRGJ2HjipYCe4nZSoKJEKIkqzrc+LsCKx6KuUPqo0IIIWyTYCKEEMI2CSZCCCFsk2AihBDCNgkmQgghbJNgIoQQwrY5vdIiEQ0DOF3i7p0ALpexOLOZHCvr5FhZJ8fKOjvH6hpm9hXaaE4HEzuIaMDKUpZCjlUx5FhZJ8fKukocK2nmEkIIYZsEEyGEELZJMCndjmoXoI7IsbJOjpV1cqysm/FjJX0mQgghbJOaiRBCCNskmAghhLBNgokQoiYQkZeIuMDjRIH32JRn352V+i4ziYi81S5DNrKeiQkRdQPYov9zLYBRAFuYebAS+9cTItoOYB2AbgBDAPqhvqvfwr6bAGzP8fIuZt5YrnJWWzm+61w6r3T9UOdUuk1IHod8BgEMZHl+n51CVRsRrQOwGcAGAJRjm6pdwySY6PSDuA/AfcaBI6KtAPYR0ZpCB9Pu/vXEdHfYD8APdXJvggouyy2+zaz8wedQ8nedS+eVrp+Z16c/SUQbAHQz8y4L7/EKM28rf9GqQ78h2QJ1HvXl2a661zBmloca0bYdwM4sz3O258u9fz09AJzI8tw+/btusrD/JgBPVft7VOhY2fquc+y88gLYmuO1MahgYuV4FzwH6+kBdZPm1f97p7psl/9csbu/9JkkbQKwO8vz/VB33jO9f13Q7162ZnnpOf2v1ZqJvywFqg9+G/vOifMKAJjZz8wZzVj63fGrzJyt6SudF4CXiLYT0ZjeV7JPbyKqS8zczxaaj1Hla5gEEwBEZFQdR7O8bFT3vDO1fz1h5iFmzjYByq//zdtBqvNilv3g8/CixO86l86rXPSbF6t9JYZnoM7Dx6Em6/UB2K03lc1KtXANk2CiLND/+rO8NqL/7Z7B/WeD9QD8OQJNNnPpB1/qd5XzSjW9WBrYoesHsIyZtzHzLmbeDHVuAsCLM1HAGlH1a5gEE8XuD3K2/6DzMt09rrG4y1z6wdv5rnP9vNoE1U9iORUIMw+mBx5m7oe6u/bO4ppc1a9hEkwUo2rnzbNNvvZau/vXLf3HuRvARott2nPqB2/zu87182o71FDYchgAVL9Mmd6v1lT9GibBRDEO0oIsr3UABU9Cu/vXs51QzRD9ZXiv2f6DN7PyXef6eTVYzHlVIDB3Q9USZ6uqX8MkmCjGgcw2EqkbegfUDO5fl/QZxdvZ2th/Yx9vnpdn1Q++DN91rp5XG6CGwz5eYLv0pplnTB3J5u28UMerXLWcWlT9a1i1x1DXygNqnkS2+RNjSBu3jizj3YvZfzY8oO4cN1jYrjvt31sB9GXZzgvVSV1wLkG9PIr9rnJeJY7NGIB9Fo4twzSHR7/onTAfc/25nQDWVfu7len45JtnUtVrWNUPTq08oO6EUibdQXUqn0jbLuMkLmb/2fDQT+gTUG3a2R7duY7VXPjBl/Jd5bxKObe40I0K1LyHsRzHcUx/7EaOSZD1+kBycrA3y2tVvYZJOhUdM/cT0RoAW4loI9QQuVFkjlDaq782WOL+dU2fQGYMad2UY7OdUNXmjGPFzENEtAvAHiICVN/BIM+ifFyGIr/rnD6vDFbPA1ZNqxnNq6wmPRYzJ6Uu6LnwupFMp7KHiAagmpkHgepfw2RxLCGEELZJB7wQQgjbJJgIIYSwTYKJEEII2ySYCCGEsE2CiRBCCNskmAghhLBNgokQQgjbJJgIIYSwTYKJEEII2ySYCFFjsmTDFaLmSW4uIWoIEe2GWlNiVubeErOX1EyEqC3rMIvWdBFzhwQTIWqEaWGnvVUtiBAlkGAiRO0w+kqkZiLqjgQTIWqAvk7Mi/o/x4hI1oYQdUXWMxGiRhgLIDHz+mqXRYhiSc1EiNqxDmmr3wlRLySYCFE7uiGd76JOSTARogaYRnJJzUTUJQkmQtSGtQDAzEPVLogQpZBgIkRtWANgCFDpVIjIW93iCFEcCSZC1Ia1QGKI8Dpm9le3OEIUR3JzCVEbRvW/rzCz9JuIuiPzTIQQQtgmzVxCCCFsk2AihBDCNgkmQgghbJNgIoQQwjYJJkIIIWyTYCKEEMI2CSZCCCFsk2AihBDCNgkmQgghbJNgIoQQwjYJJkIIIWz7f3Jt7jRxo8nMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u0 = np.array([1.,0.])\n",
    "dt = 0.1\n",
    "\n",
    "for method in short_methods:\n",
    "    tt, uu = RRK(method, dt, f_prob1, w0=u0, t_final=10., \n",
    "                                            relaxation=1, debug=False)\n",
    "    plt.plot(tt,uu[0,:]**2+uu[1,:]**2-1.,lw=2.5);\n",
    "\n",
    "\n",
    "plt.xlabel('$t$');\n",
    "plt.ylabel('$\\|u(t)\\|^2-\\|u(0)\\|^2$')\n",
    "plt.tight_layout()\n",
    "plt.savefig('./figures/problem1_energy_RRK.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rc(\"font\", size=16)\n",
    "\n",
    "#names = ['SSP(2,2)', 'SSP(3,3)', 'RK(4,4)', 'BS(8,5)', 'dec_3']\n",
    "dts = np.array([0.9, 0.5, 0.2, 0.1, 0.03, 0.02, 0.011, 0.005])\n",
    "dts = np.logspace(-2.5,0.,11)\n",
    "u0 = np.array([1.,0.])\n",
    "t_final = 10.\n",
    "\n",
    "fig=plt.figure(figsize=(6,6))\n",
    "ax = plt.subplot(111)\n",
    "lines = []\n",
    "\n",
    "for j, rkm in enumerate(short_methods):\n",
    "    for relax in (False, True):\n",
    "        sols = []\n",
    "        for dt in dts:\n",
    "\n",
    "            tt, uu = RRK(rkm, dt,f_prob1, w0=u0, t_final=t_final, relaxation=relax, rescale_step=True, gammatol=1.0)\n",
    "            sols.append(uu[0,-1])\n",
    "\n",
    "        errors = []\n",
    "        ref = np.cos(t_final)\n",
    "        for i in range(len(sols)):\n",
    "            errors.append(abs(ref-sols[i]))\n",
    "\n",
    "        if relax:\n",
    "            plt.loglog(dts, errors,linestyle='dashed',color=colors[j],marker=markers[j],label=None);\n",
    "        else:\n",
    "            lines.append(plt.loglog(dts, errors,linestyle='-',color=colors[j],\n",
    "                                    marker=markers[j],label=short_method_labels[j])[0])\n",
    "        \n",
    "box = ax.get_position()\n",
    "ax.set_position([box.x0, box.y0, box.width * 0.8, box.height])\n",
    "\n",
    "# Put a legend to the right of the current axis\n",
    "ax.legend(lines,short_method_labels,loc='center left', bbox_to_anchor=(1, 0.5))\n",
    "\n",
    "plt.xlabel('$\\Delta t$')\n",
    "plt.ylabel('Error');\n",
    "plt.ylim([1.e-14, 10]);\n",
    "\n",
    "plt.plot([1e-2,4e-2],[3.e-4, 4**2*3.e-4],'-ok',alpha=0.5)\n",
    "plt.plot([1e-2,4e-2],[5.e-6, 4**3*5.e-6],'-ok',alpha=0.5)\n",
    "plt.plot([1e-2,4e-2],[3.e-10, 4**4*3.e-10],'-ok',alpha=0.5)\n",
    "#plt.plot([1e-2,4.e-2],[5.e-13, 4**5*5.e-13],'-ok',alpha=0.5)\n",
    "#plt.plot([4e-2,16e-2],[5.e-13, 4**6*5.e-13],'-ok',alpha=0.5)\n",
    "\n",
    "plt.text(1.e-2,3.e-4,'$p=2$',verticalalignment='bottom',horizontalalignment='right')\n",
    "plt.text(1.e-2,5.e-6,'$p=3$',verticalalignment='top',horizontalalignment='left')\n",
    "plt.text(3.e-2,6.e-9,'$p=4$',verticalalignment='bottom',horizontalalignment='left')\n",
    "#plt.text(1.e-2,5.e-13,'$p=5$',verticalalignment='bottom',horizontalalignment='right')\n",
    "#plt.text(4.e-2,5.e-13,'$p=6$',verticalalignment='top',horizontalalignment='left')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('./figures/prob1_convergence.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rc(\"font\", size=16)\n",
    "\n",
    "names = ['DeC%dGL'%(order) for order in range(2,10)]\n",
    "dts = np.logspace(-2.5,0.,6)\n",
    "u0 = np.array([1.,0.])\n",
    "t_final = 10.\n",
    "\n",
    "fig=plt.figure(figsize=(6,6))\n",
    "ax = plt.subplot(111)\n",
    "lines = []\n",
    "\n",
    "for j, rkm in enumerate(decGLBRKs[:5]):\n",
    "    for relax in (False, True):\n",
    "        sols = []\n",
    "        for dt in dts:\n",
    "\n",
    "            tt, uu = RRK(rkm, dt,f_prob1, w0=u0, t_final=t_final, relaxation=relax, rescale_step=True, gammatol=1.0)\n",
    "            sols.append(uu[0,-1])\n",
    "\n",
    "        errors = []\n",
    "        ref = np.cos(t_final)\n",
    "        for i in range(len(sols)):\n",
    "            errors.append(abs(ref-sols[i]))\n",
    "\n",
    "        if relax:\n",
    "            plt.loglog(dts, errors,linestyle='dashed',color=colors[j],marker=markers[j],label=None);\n",
    "        else:\n",
    "            lines.append(plt.loglog(dts, errors,linestyle='-',color=colors[j],\n",
    "                                    marker=markers[j],label=names[j])[0])\n",
    "        \n",
    "box = ax.get_position()\n",
    "ax.set_position([box.x0, box.y0, box.width * 0.8, box.height])\n",
    "\n",
    "# Put a legend to the right of the current axis\n",
    "ax.legend(lines,names,loc='center left', bbox_to_anchor=(1, 0.5))\n",
    "\n",
    "plt.xlabel('$\\Delta t$')\n",
    "plt.ylabel('Error');\n",
    "plt.ylim([1.e-14, 10]);\n",
    "\n",
    "plt.plot([1e-2,4e-2],[3.e-4, 4**2*3.e-4],'-ok',alpha=0.5)\n",
    "plt.plot([1e-2,4e-2],[5.e-6, 4**3*5.e-6],'-ok',alpha=0.5)\n",
    "plt.plot([1e-2,4e-2],[3.e-10, 4**4*3.e-10],'-ok',alpha=0.5)\n",
    "plt.plot([1e-2,4.e-2],[5.e-13, 4**5*5.e-13],'-ok',alpha=0.5)\n",
    "plt.plot([4e-2,16e-2],[5.e-13, 4**6*5.e-13],'-ok',alpha=0.5)\n",
    "\n",
    "plt.text(1.e-2,3.e-4,'$p=2$',verticalalignment='bottom',horizontalalignment='right')\n",
    "plt.text(1.e-2,5.e-6,'$p=3$',verticalalignment='top',horizontalalignment='left')\n",
    "plt.text(3.e-2,6.e-9,'$p=4$',verticalalignment='bottom',horizontalalignment='left')\n",
    "plt.text(1.e-2,5.e-13,'$p=5$',verticalalignment='bottom',horizontalalignment='right')\n",
    "plt.text(4.e-2,5.e-13,'$p=6$',verticalalignment='top',horizontalalignment='left')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('./figures/prob1_DeCGLconvergence.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt = 0.5\n",
    "order = 7\n",
    "tt, uu = RRK(decEqRKs[order-2], dt, f_prob1, w0=u0, t_final=1000., \n",
    "                                            relaxation=0, debug=False)\n",
    "plt.plot(uu[0,:],uu[1,:],color='#56B4E9')\n",
    "tt, uu = RRK(decEqRKs[order-2], dt, f_prob1, w0=u0, t_final=1000., \n",
    "                                            relaxation=1, debug=False)\n",
    "plt.plot(uu[0,:],uu[1,:],'-k')\n",
    "plt.plot(uu[0,0],uu[1,0],'ok')\n",
    "plt.axis('equal');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def makeplot(dt):\n",
    "    plt.figure(figsize=(8,8))\n",
    "    #dt = 1.5\n",
    "    unp1g, gam = RRK(dec3, dt, f_prob1, w0=u0, t_final=1000., \n",
    "                                                relaxation=1, debug=False,one_step=True,gammatol=1.0)\n",
    "    du = (unp1g-u0)/gam\n",
    "    unp1 = u0+du\n",
    "    plt.plot([u0[0],unp1g[0]],[u0[1],unp1g[1]],'o-',color='#56B4E9')\n",
    "    plt.plot([u0[0],unp1[0]],[u0[1],unp1[1]],color='r')\n",
    "\n",
    "    t = np.linspace(0,2*np.pi,1000)\n",
    "    plt.plot(np.cos(t),np.sin(t),'-k',lw=0.5)\n",
    "    plt.plot(np.cos(dt),np.sin(dt),'ok')\n",
    "    plt.plot(np.cos(gam*dt),np.sin(gam*dt),'ob')\n",
    "    unorm = np.sqrt(unp1[0]**2+unp1[1]**2)\n",
    "    plt.plot(unp1[0]/unorm,unp1[1]/unorm,'og')\n",
    "    plt.axis('equal');\n",
    "    \n",
    "makeplot(1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4cc2689639e4411d8af1ac00e894aead",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=0.1, description='dt', max=1.5, min=0.1), Output()), _dom_classes=('wi…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import widgets, interact\n",
    "\n",
    "interact(makeplot,dt=widgets.FloatSlider(min=0.1,max=1.5));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stability regions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rc(\"font\", size=22)\n",
    "\n",
    "def relaxed_stability_polynomial_gammaval(rkm,gam):\n",
    "    P, Q = rkm.stability_function()\n",
    "    \n",
    "    coeffs = P.coef\n",
    "    for i in range(len(P)):\n",
    "        coeffs[i] = gam*coeffs[i]\n",
    "    pg = np.poly1d(coeffs)\n",
    "    return pg\n",
    "\n",
    "def plot_perturbed_stability_regions(rkm,gammas):\n",
    "    fig=plt.figure(figsize=(12,12))\n",
    "    q = np.poly1d([1])\n",
    "    for g in gammas:\n",
    "        p = relaxed_stability_polynomial_gammaval(rkm,g)\n",
    "        stability_function.plot_stability_region(p,q,filled=False,color='b',\n",
    "                                                 fignum=fig.number,alpha=1.6-g**1.4,\n",
    "                                                 bounds=[-3,0.6,-3.3,3.3])#,\n",
    "                                                 #plot_axes=False);\n",
    "    p = relaxed_stability_polynomial_gammaval(rkm,1.)\n",
    "    stability_function.plot_stability_region(p,q,filled=False,color='k',bounds=[-5,5,-5,5],fignum=fig.number);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gammas = [0.7,0.8,0.9,1.0,1.1,1.2,1.3]\n",
    "\n",
    "plot_perturbed_stability_regions(dec3,gammas)\n",
    "plt.savefig('./figures/DeC3_stability_perturbed.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_perturbed_stability_regions(dec4equi,gammas)\n",
    "plt.savefig('./figures/DeC4equiv_stability_perturbed.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8NNyHvi33D3G5pAqblgYkJqqAWloqi8hycqTlwTF+/JfweFIBAMXF23DDDcMxfvxmNGwoj5eXA3//u0x5eO01YMgQ9dqnnwZeekmOO3aUCq8TeCsqgDPPlBYKIqJ4wLBLRHEjP1+2xu3cGfj88zIAlwC4BkDl/mdkYujQz7Bw4RM45pjk2jrNqCxLFqelpEi1t08f6d2trJTKb06Oem6HDiPx179+Bo9Hfo7Cws245JITceutecHWhPJyGT2WlwdMmiRtEY4HHlAtC61ayQK21q3ldnExcNppwJYt1f8zExFVN4ZdIop5Pp/aFezJJwG/Pw/A8QBeCz7H6+2LK69cgPfeOykY6uoiJ/B6vfKrVy9pS7BtuV/XpMmxuOOOKXC5vACA3buX4pJLLsZDD9nB2bn79kng9fmA//1PJjI4br4Z+O03OW7dGvjiCyAjQ25v2waMHSuVXiKiWMawS0Qxy7Zl5Fbv3sA118gmDcAGAEcB+D74vKysS3DXXT/iH/9ojyZ/fG+IGuN2S7C1LNkCuFs3qbZGkpExCrfc8krw9tKln+L++/+FBx6QdghAKrSPPSa3J02SxWuABNlrrpGKOCDf54MPZHEcAMydC9x6a7X8iERENYZhl4hi0sKFwMiRwKmnypgtmaI4H8ARANTOY23bPoY77ngJV1yRHBNB15GUBDRuLMfp6dLC4POpx53KbSAAdOx4Hk4++cbgY6+8cht++20ObrpJPX/WLODjj2UB3PPPI7iYbetW4LbbnD8/YNgw4JFH1OuefpoTGogotjHsElFMWbcOuPBC2Yjh229VSAN+ADAMwM79txPQo8dbuPbam3HGGVZYC0AsaNhQQi8gld6EBPVYy5bS5gBIT+6NNz6M1q0HAgACAR+uvPJCHH54GU4/Xb3mhRekytumDfD44+r+6dNlTJnjhhvkQ4TjqqvMXdmIiGIJwy4RxYRdu4C//hXo3h2YPFlCrhN0LWsapEdXdhRzubIwYMA0nH/+ORg1Sk0aiDWWBaMa7czMBaTK27Wrur1oUQImT34XCQnSdJuXtwbXXPMvXHWV+vnLy6WdwbalKn7RRer1998vm1s43/eFF4CmTeX2tm3S30tEFIsYdomoTsvLA+65R+bl/uc/0mfqhFy3G3C7p8C2TwZQuv++HAwePAunnDIUQ4fK2C5XDP9Ll5Ii83cBIDlkgITbrSY0+P1AXl4bXHPNA8HH3377n1i2bAtuuw3BEWtLl0olF5B+3LZt5bi4GHjwQfW1GzWSBW2OV16RrYaJiGJNDP8vgIji2b59Um1s317GZBUWqmqu1yuLrSzrA/j9ZwKQkQEeTyscddT3GDasOwYOlMqn0wYQy5ze3VAlJVLpdqxYAdx885XIyTkMAODzlWD8+NvQoYNMVnBMmiSvTU42A+7nn5uB9vTTZQSZ44YbpEeYiCiWMOwSUZ2yd69sa9uuHXDvvUBBgRlyGzSQaQEu18fw+c4B4AcAJCR0xLHHzsIRR3RC9+4ya9fZYCHWJSdHD+3FxVL1dixc6METT/wneHvu3Lcwc+YKnH++Cs15ecCHH8rxoEFmf+5DD+l90NLb60x1mDdPFrkREcUShl0iqhO2bQNuuUUuq993n4zDckKuxwNkZ8vl/MpKICXlY5SWjgUg4wmSkrpg1Kjv0a1ba3TqJNXO5s2l9zReZGaat53WjLw8oGdPdf/KlcDJJx+Lnj1P2n+PjTvvfBjJycCll6rnvfceUCQtzrjtNhVof/3V3C64fXvgL39Rt//v/6RlgogoVjDsElGt+u034IorJFQ9+aRUKvWQ26QJ0KwZUFYmAa9JkynYs0cPup1w/PHfoEWLZsGgm50dH+0LuvR0M7zrC9dKS9XuZ7YNLF4M3HffncHHf/55MpYs2YyRI9Uit+Ji4JNP5DgnB7jgAvX1nn7arO7efLNsYwzImLcpUw7hD0ZEVM0Ydomoxvn9shnEqFGyIcTLL0vFFpCQlZoqgbVVK2ld2LtXAll29nRs3Hg2nKCbnNwJo0d/i+zsFujeXUZqNW6MmJqne7Dcblms5tBbNLZtA/r2VbeXLgXOOGMwOnQYCkBGkd1//0S43cD556vnffyxmt171VXqA8KyZcDs2ep5jRsD112nbj/55KH5mYiIagLDLhHVmN27pQe0a1dZ+DRjhnrMtqWC27SphNW0NFlEVVkJHHYY4PHMxKpVpwIoBwAkJ3fEmDHfIjOzBbp2led36CAh0Jk8EG+c6iogwdSZu1tWJj+3M62hsBDYvBm4+uobgs+fOvUN+HwBDBumgvLevcD3+zeaa9gQOOss9fVfesn83tddp77f7NmyuxoRUSxg2CWiahUIyKirc86RS+233SYbQzgsSzaI6NRJ+kZTUiT4lpQAWVnSj7pv3yysWHEybFvGiyUmtsIFF0yDx9MCPXtK8OvWTcJYvCxKi0Sv7JaXqzm4gARXfe7u6tXANdechKSkLADAvn0bMXnyD/B4zAVpX3+tji+7TB1/952auwvIB5Gzz1a3X3jhT/4wREQ1hGGXiKrF2rUyTaFjR+D442VBVEWFejwrS/pEjz0WyM1Vl9P9fmlj6NhRFpnl5i7E8uWjYdvFAICEhOa44ooZANqic2cJgDk5EnIbNoztmboHou+g5vPJn6EjN9ecyrBmDZCcnIijjz4neN/LL08GIH8fTv/vwoVScQekDWTwYDkOBMxd1QBg/Hh1/M478oGEiKiui+P/LRBRTdu1C3jmGWDIEBn9df/9wMaN5nMGDQIefRQYNw6YNQtYv149lpUl0xiaNpUq7549i7Fs2SgEAoUAgISEHFx++QykpHREgwZqQ4ROnSTk6uEvHoVOl2jQQB3n5cniMycQ79snEy2uuOK84HMWLPgCgYCN7GzV42vb8vfgGDdOHX/6qfn9Bg+WTToAmeTwxRd/7uchIqoJDLtE9Kfs3SsLzE44QcLWX/5iLm4CpOJ6/fXSH3ryybKpgX75PCEBGDZMwqrHI/fl5f2KpUtHwOfbCwDweDJx8cVT0bJlFxQWAocfLpXF9u3l9ZmZ8V3VjcTtViPDfD6ZytCihXp80ybgjDOOQGJiJgCgqGgrpk1bCgAYOlQ974cf1PGIEar3d80aaYdwWJbZyvDuu4fwhyEiqib17H8NRHQo7NwJPP88cOKJ0st5xRUym1Wfv+rxACedJJe7V62S6uu11wIvvqhaFgDguOMkAG/YoMZdlZevxLJlI1FZuQcA4PVm4IILpqFTp8OwezfQr58EPY9Hwp1lxX9VN5LKSiAjQ90uLJQJFo7t2wGv14PDDhsVvO+9974EABx1lHreb7+ploSUFPng4XC2FnboO7FNnWq2phAR1UUMu0R0UNavB556SnpsW7SQUVVTp5rBFQCOPlpaGbZskcpfYaEE2ieflGNH375qru4vv6j709NX4ZdfhqOsbBcAwOttgHPPnYru3QegtFRNaygqklYJl0umFHi91f5HUOf4/eaEhqIi6V927Nwpv48YcVzwvp9/lp6FrCzV4xsIAIsWqdcNH66OZ840v2e3brK7HSB/nz/++Od+BiKi6uap7RMgoropEADmz5e+zU8/lZ21ohk4UMZWjR0rExdKS6WiO3Gi9PHq2rUD/vY3qSQ++6wZlrt3X46XXhqO4mIZA+DxpODCC79E164Dg8/p2lXOLSVFTV6oj1VdQC3mc5SUmJXd3Fyplp944hF45BG5b/36+bBtqYb376/aFJYsUYvTjjlGfY1ffpGv60yCsCxpWXn2Wbk9Y4ZZCSYiqmsYdokoqLRUwsuUKcDnn5ujp3SWJRXc008HzjhD7d5VVAQ895y0Kuzda76mWTPp5z32WJm1u3CheiwlBRg+fBnuumsYSkokHXs8KRg//jO0aycJzOeTxVGWJefZubO8NiHBHMlVn9i2uVNcebncTkmRgOr3S/X1qKO6weNJgc9XguLibVi+fBu6d2+OHj3Ua5ctU8cNG8qf76pV8jUWLwaOPFI9PmyYCrvOnF4iorqKYZeontuxQ4Ltp59Kf2ZpaeTnJSbK5e3TT5c5rfouZTt3Aq+9BkyebLYqANJ2cNVVMmd39mzgyivN53TuDAwZsgTjxx8XDLpebypuu+0LNGggq6hsWyYvOMEuK0tVNDMz//QfQcyybXMcWbnst4GsLNWDm58PNGjgRqtW/bB+vbQwfPfdYnTv3hzdu6vXrl4twdbZkOPwwyXsAvLBRA+7Q4ao43nzpHe4PraREFFsYNglqmdsW6p4n3wiv6raCatxY2D0aAm3o0aZ/aEAsGKFVHE/+SS8d7d5cwm2Y8fKDl8PP2xWAZ2V/ampP+KSS05CRUUBAMDrTcPjj3+F8nK1gqpDBzWlwbblazv08Vv1kR4ynQWC+t9TsYwnRuvWXYJhd/ly2dUjI0P+jnNzJbBu3aqq9L17y4cXQBaw6Zo2lZm8GzdKwF6+HOjV61D/ZEREhwbDLlE9EAgAc+ZIe8LHH8tIqWi6dgVOOUUmJBx5ZPjWu36/LFp65RXgp5/CX9+unYTcM86Q1377rSxYKyhQz2nSBLj9dmDOnK9w0UVj4PNJOTkhIQOTJn2BffsGB5/bsqVclndW/efkqGpmWpoKwfWRZZl/P84HDr2P1wm7bdq0Dd63fv2G4HG7dhJ25X4VdvWqr97i4OjTR81QXrSIYZeI6q56/L8Jovjm98v81Pfek5C7fXvk57ndclnaCbj6Lly6ggKZrjB5MrB5c/jj/fvLDlvDh8vX3LED+Pe/5TK37sQTgauvBh5//E3cd98lCAQqAQApKU3w7rtTkZvbG2Vl8tz0dAnfmzbJ7aQk6ScNBOS2PnarPgr9IOII7eMFgI4d2wXv27pV7eTRqpX6O9LfIx06yKSLQEAqvmVl5tft2VPeV4BU+ImI6iqGXaI4EgjIbljvvAN8+GH4JARHWppsGXv66RI+q5pmsGwZ8MYbEmycEOpwueTrXH652pHL5wPefht4/XUVtAAgO1umMPTvb+Oyyx7Eq6/+PfhYgwat8dVX07FnT6fgObtcMrJMryq2bauCrjNyrD6LFnYj9fG2bq1mkuXn5waPmzVTz9XDbkKCVNU3bZLWkU2b1KJAQD6EOFau/CNnT0RUMxh2iWKcbctq+cmTJeRu3Rr5ednZUr094wypvupVulBlZbIV7OTJ5vxVR2am9OJeeKG5Y9e8eWrGrsOygNNOAy67DHC5KjF8+NX47rsXg483btwNM2Z8jdLSVli+XL1u5EipJjt9qBkZ0p/rtEM0aBC+fW594/GYG3k44VcPwc6Hg5wc9YmmpCQ/eJydrZ4bOkGjdWtVVd+61Qy77durY+c5RER1EcMuUYzauRN4803g1Vejz8DNyQHGjJEZuEOGRK8EOtavB956C/jgA1nFH6prV+Dii2XBmh6Wt26VkWOh2wR36ADceKPTipCLESPGYc2ab4OPd+w4HN999wFKSzPx1Vfqdb16yQKo775T93Xvbvb91vcWBkAWp+k7mDn9y/q2yU7YbdpUD7t5wWNnVjEA7Nljfn19g4rQNhh9nm+kthYiorqCYZcohvj9wNdfy1a9X3wRPgEBkNX1Z54pkw4OJuBWVspOaG++KYvYQnm9sonABRdIX65eTd23T7U46BXGlBQJxaefLt9/6tRFGDfudBQUbAw+Z/DgizF16iQUFSXg00/Va1u2BEaMMINzTg6QnKwqj16v3K7vvF6ZbazfBlTABVTwzcpSPR8+X0nwWJ9moX8twKz6RgrCliVXFnJz5b1YnxcLElHdxX+aiGLArl0y4mvSpMiXjJOTJVhecIEExYOZebpli7Q9vPuuWo2va9UKOPdcaVfQq3+AVBM//lgCcmhAOuEE6eF1+oAffPAd/N//XRqcuABYuPDC+/HKK3eisNDCBx9I4AakWnvaacC2bSrYulyyGEqvNNfXcWO2bd5OSDD7ohMT5fdIrQ1eryr3BrQ0rG/I4UxucOgzjPPyzMfcbnk8L0/Oa+9ec/YyEVFdwbBLVIctXAj85z8SSvXL1Y4hQ6SCetZZBxcA/X5pDZg8WX4PDU8ul/Tznnee7JCmXw53Xj91qmwgsXu3+VjPnjJloUsXuV1UVIYxY27CtGn/Cz7H603Ho49Oxl//egpKSmRShBOwEhPl5/B6zUVpHTpIy4QequtrC4MebBMS5O9H3wTEaS1xPjwAqtrqdqu/TNv2h70m9OsD5p9z6GYhgHygcUJwQQHDLhHVTQy7RHWMbUugfOQRs2fV0bgxcMklsuDLCZYHkpcnFdw33zQXjzmaNpUdzsaNM/s09XP6/nvg5ZfDX9+ihYwcO+oo1eIwZ85qjBlzNrZv/yX4vIYNO+Ojj6Zg6NCuKC+XoOsEJbdbeosbNpQFcU7oSk6Wn3HfPhXMk5PNaQP1SaRgW6I6EoJVWn1qhvM8vz/kk81+euuBXhHWXwuEB2H9+4WeGxFRXcKwS1RH+P0yLuzhhyNPQBg0CLjmGql+VjVJQffbb1KF/fTTyJXho48Gzj9fzcYNZduyccRrrwFr15qPZWZK28TJJ6vAFAjY+PvfX8Hjj9+AykpVCuzb90x88cWLyMnJQEUF8P77aiyaZcnXaNlS2ik2qrZeHHaYnJe+MK2+tjAAZqB0epb1irezmUSksFtQoHoUvF6160SkxWwOpy0CiBx29fdh6Fg6IqK6gmGXqJYFAjL94L77YIzeAiTojR0L3HADMHDgwX09p9Xg5ZeBBQvCH3fGhp13ntotK5Rty2K1V18N320tNVUqwGPGmIvE1q3bhTFjrsTixR8H73O5EnDddU/iX/+6Bi6XFQy627ap1x1/vIy08vvNkJ+TIzNgy8pUkLKs+h129SpucrL8PentBenp8rsegJ1ZxHl5KuwmJqrFapH6ex0HGu2mPx7aEkNEVFcw7BLVEtsGvvoK+Pvfwyu5ycnAFVfI2K42bQ7u6xUVSavCq69GblXo2RO46CKpouoVu9Bzmj1bNoRYvdp8LDFRZvSefbYKVYBUcx977H3cd9+1KC1VjbwNG3bC66+/jdGj+wGQwPr+++YIqxEjpHoLSBXa6d/1eoHeveU4dGHagaZLxKvycnP6RlKS/Hk5YTUhQf296gHYqfbu3avu1MOu/jVDpykwwBJRPGDYJaoFCxcCN98c3pObng5cd51UcvWxT1XZtQt45RVZdBY6GcHjAU46SUJunz7Rv4ZtAz/+KCE3tF0hMVHm6p59trk6HwBWrNiGc865BosXTzHuHznyarz77mPIypKkVVQkPbr61IcRI4B+koOxYwewYYN67LDDJMz5/dKv66ivC9OA8L9bwPwg4Pzd2LbZ9uHcv3mz2k6vQYPGweNIfcAOvfUl0gekSJMgiIjqGoZdohq0cydw110STvWqWUoKcP31wE03AY0aHdzX2rwZmDhRqqX66ntAAs7550tPbVUr5J2FZ2+8IRtK6BISZMe1s88OHz3m9wdw++0v4D//uRUVFSpZpaU1xxNPvIQJE44P3rd3rwRdPbSOGqXCd2mphH9H8+Zqw4KCAtVHmphoLoiqbw4Udp0PAoWFqtqrL+bbunVn8LkNG6pViKGtETq9DzdSmI3UG0xEVNcw7BLVAL8fePZZ4O67zdDn8Ui7wt13R56CEMn69bIl7yefhK+eb9dOZtyefnrVmy4EAsDMmRJyQ+f2JiZKyB03LjzkAsC0aUtwxRVXYdMmc7u0YcMmYPLkR9CsWWbwvs2bZR6v3nM7erTshuacx7x5KqwnJ6v2Bds2Z7tmqQ3A6h2fL/K0A317X+fvSt/8Qf/gtGXLjuBxdnbT4HFVi/8i9QPr9LAd6XEiorqAYZeomi1aBFx5JTB/vnn/SScBjz128OPDNm+Wmbsffxy+ar53b5lxO2JE+Gxcnd8PfPuttDyEbvGalCQbOowbF7ldYNeufbjiivvx2Wf/Mua0ZmV1xFNPPY+LLjrWeP6SJcC0aepcvV5ph2jf3nyOE2gtCxgwQFUi9+1TIdjtrt8tDJFm3Pr9Zth0PgzorSJ62N20SY25aNmyRfA4UstDpMdCw6xtR/7+RER1DcMuUTUpLwf++U+Zl6tXYDt1Av79b5lCcDB27gSefloWn4VWco88Erj2WuCII6peOe/3AzNmSCV361bzsZQUqQSfeWbkQOn3B3DvvW/gX/+6DcXFqjrocnlx5pm34YUX7kSDBsna8+V76YvuUlNleoNevV6zxhwz1qOHqk7atlmhbNjwwJMB4pl+NcCxZ4/6IJGertoMdqnWXDRWrbnYunVd8Lhr1w7B42jh+ECPFRSont7U1PrdYkJEdRvDLlE1WLJEFoX9+qu6LzFR+nVvvvngFvMUFcn2wC++GD7DdMgQWcTmLPCKJhCQ4Pn665FD7plnSgiNdgn6gw/m4MYb/4rNm3827m/f/hi8/PJzGDq0q3F/YaG0V+ijxZo0kSkO+iXyrVuBpUvV7VatZKc0hx6k3O76XTWsqFAtDHrg13ew0xcz6mG3qepWwM6darxGr17tIz4/dFFktO8ByKJCx8G24BAR1QaGXaJDKBCQqu2dd5or2YcOlcVknTsf+Gv4/VLF/de/zOomIBtL3HgjcPjhVX8N25ae3NdeC29XSEuTgDtmjJrBGurXXzdj/Pg78PPPk0Ne2xy33fYY7rzzXLhcZql17Vrgyy/N3tIuXYATT5QWBsfu3eaCtEaNzEkRgYBZUWzYsOrWjHintxLof1+RQmpFhfqzsyx1/549hSgokDK6y+XBgAHqk4UeWkMXM+pj4kIDrf6+atECRER1FsMu0SGSmwtcfLHMznUkJ8uOaNdcc3CBbf582Vxi2TLz/u7dgVtvlYpuVZfznc0gXn4ZWLfOfCwtTVVyU1Mjvz43twjXXfcYPvjgMfh8KrW6XAk444ybMHHinWjUyEzIPp+MUNMDrGUBxx4rPbjm1wd+/lldfk9Lk80y9D+b3Fw1+9Xjqd9V3dC+WL3NxGltcLlUqNXDaePGqv/5u+/UJYZGjboiNVVdWtCr8M2bm99fvxoQGmj16R1t21b9cxAR1SaGXaJD4OefZWGXvplD//7SPnAwC9D27AEeegj46CPz/mbNpO3h1FMPHJaXLAFeeCE8KDvtCmeeGb2SW1npx9///jKeeeYeFBdvNx7r2/dMTJr0KAYMaB/2ul27gM8/NyuxaWkyzaFlS/O5ubkSxPWxWEceqQIZIH3O+oSBJk3qd1VXHyPm8UT+kNK4sdpoQ3//6eH0p58WB4/btu0VPLbt6K8pKFBBOyHB7P8FzJ312rU7iB+GiKiWVHvYtSzrLABXAnBqPOsAPGTb9vvV/b2JasJLL0nlVp91e/PNwP33m0EuEtuWGbQPPWQuQkpKkukKV1xx4PmlGzYAzz8vgVuXmCgBd+zY6D25gYCNiRO/wr333opdu34zHmvWrA8ee+wpnH/+MRFeJ9/vp5/MyRAdOwInnBA+9mzHDhkx5jw3KQkYPNhc1GTbZmUyJaV+bw0MhG8aEamq36yZOtaDq/5hY6FWdu/Zs3fweNcu1Q/eoIFZOdYrt23ahH/oWLlSHXc1W7eJiOqUag27lmVNBDABwEIA0wH02//rPcuyHrVt+7bq/P5E1cnnk1D79NPqvqws2a73pJMO/PrNm4Hbb5dqp+7EE6XnN/SScqi9e2Vzii+/NDeo8HhkS+Dzz6+6BeCrrxbhhhtuwapV0437U1Ob4a9/fRD33nshPJ7wvXl37ZLvqfeMejzAsGGRd2nbtEkmMzjnmJQEHHVUeJV5925zHm99X/RUVqY2fLCs8LFgDufPye83WxL0sLt8ufokdPTRquFb37WuTRszTOuV244dw7+vfgXhYMfnERHVhuqu7I4DMMq27eD/TS3LuhXAIwButSzrIdu286v5HIgOuaIi4JxzJPQ5evcGPvjgwJd0bVvm3D78sLmYq1Ur4B//kMVsVamokO8zebI5pcGygJEjpW+4qqC4dOlWXHXV3Zg16xUAKiV7vakYN+5WPP30TcFtfnU+n1Ry5841w3Xz5rJRRGiwtm1gxQpg1Sp1X0qKVHRDL8cXFZntC9nZB66Kxzt9Q430dPlAESorS1X+t21Tvc5ZWaqan5dXhJ07ZfSFZblw4omqkVoPtPo0DED+7hyhYbawUPWEezys7BJR3VbdYXedHnQBwLbtRy3LOhtS4R0JgO0MFFN27ZLK6YIF6r4zzpCKbrSFX/prb7tNtuh1uFyy69kNN1S965ltA7Nny05s2822WvTvD0yYEB5YdLt3F+K66x7Dhx8+biw+sywXhg0bj+eeuxedOkVOyRs3ygYRegBzu2XB3OGHh19e9/lkwZp+nhkZ0qMbOnatosKsSKamRt65rT7x+822lmgVer3HVm87aN1aHX/++VzYtvSPZGf3QE6O6mnRP4iEVm+XL1fHoWFXn6HctevBjdIjIqot1R12x0e5fz4k7BLFlA0bZDMIvSJ2xx1SkT3QQqoZM4BbbjH7MDt2lF3UevWK+jIAsir+v/+Vvldd27ayO1tVo8gqK/24886X8L//3Y2Skp3GYz16nIRnnnkUxxzTPeJri4tlxzU9+AByifz44yOH0qIiqf7qu341aSLnGFqd9Pulz1TfZe1A7Rv1wd69ZtuH8yGovNx8XrSwq19dmDr1h+Bxt25HGq/Xq7d6dTYQAH7TWrh79jS/r/4+DJ24QURU11Rr2LVte2GUh5z/RUZ7nKjOWb1a2gScRUAuF/C//wHjo32k28/nk0D7wgvqPsuSau7f/lZ1VayyEnjnHWlZ0BfApacDl1wiFWZ3eFtt0IsvTsedd94YcfHZgw8+jksuGRHxdYEA8MsvwKxZ5rzgxETgmGMknEdaLLVlC7B4sbqcDki1uUeP8OcHAtK37Hx9y5LwVtXPUx8EAuYHIn3nMn0UWKNGqoWhuFj1ULtc0n/rmDtXhd2hQ9Viw9271RznpCSzGrxxo3xoAaSqrC+CA8zFkAea+UxEVNtqa/TYWQDet217XaQHLcuaAFnYhtb6v8BEtWTFCmDECDWAPzEReOst4LTTqn7dzp3A9debLQ9NmwJPPilb/FZl6VLgiSdkgZfDsiTgXnpp1ZMK5sxZgwkTbsKvv35i3J+W1gJ//esDuPfeC+F2Ry5Fb9kCTJ9u7p4FAN26ySK0SK0aPp/sFqefq8slC9ZatQp/vhN09Z7j5s0PPHmiPti3T40b83rNSRrRpi3oVd3mzVW/c3l5JdaunR187Iwzjg4e6wvMunY1r0zoM5N79zY/qNg28OOP6vaRZrGYiKjOqfGwa1nWI5Be3rHRnmPb9iQAkwBgwIABdrTnEdWENWukousE3eRkYMoUCb9V+eUXGR+mh8Zhw4DHH4++sh6QAPjii8DHH5sLwTp3Bv7616p3Ydu9uxDjx/8Tn376LwQCqhTs9abi7LNvw3//exMyMlIivraoSHZdC21ZyMoCRo0yq4W6vDwJ88XF6r7UVKn46aOsHE7rgr44Lycn+ni0+kbfNU9vEykuNnum9XaPtWvVcXttHPKnn86FzycjHTIy2qJPH/XJQ9/KuntIF4v+4ax/f/OxdetUL3aDBuEtDkREdU2Nht39M3cnAOh/oOcS1QWbN0vQc/7nnpoKfPbZgScmvP8+cNdd6nK+yyVjysaPr7q3d8kSaXnQF3YlJwOXXSZV5GivDQRs3H//m3jssVvCNoUYMuQSvPDCg+jSpVnE1/r90oM5Z47ZKuH1SvX58MMjtxYEAlLxXrPGDOUtW0o1MNL0AJ9P/kz13tMmTaoO//VJYaH6O3C7zQ8LelUXUNVbv98cIaYvNPvkkxnB4169RhgV2iVLoD1mfm29TSG0J3fmTHU8eDDbToio7quxsGtZVnsAzwMYEa19gagu2bNHZt46l+aTkoBPP6066AYC0qLw7LPqvsxMWVxW1eXeykrZ4ve998zgOGiQVHOd7WAjmTbtV0yYcA02bJhl3N+69ZF4+ul/49RTozdVrl0rC+f0HlFALmsfe2z0amtenlSu9UVoHo+EpkhtC4BUrLdsMft5mzat39sBh9LHr2Vmmh9uNm+O/Bq97zkz0+zx/eknFXaHDx8ePN63T40Oc7mkp9qxc6cKz4mJ8sFFN22aOh45ssofh4ioTqiRsGtZViaAaQDGVrFojajOKC0FTj9dXdL3eoEPP5TFWdFUVMhYsU+0NtkuXYCJE6MHQEDC9AMPmJei09JkV7ZRoyIvBAOAPXuKcdll/8Bnnz2JQEAlyNTUHNx886O4554L4HJFfvHevRJy9V5PQLaEHTHCXKyk8/mkmrtunRnKGzcG+vY1d0TTFRZKtVrfba1Zs8htDvVVaalq7bAs80PA3r1mm4hOf9/oo+f27i3G+vU/BW+fc86w4LE+OqxLF3Pk3WzV4os+fcwFlH6/9HM7DtTKQ0RUF9RUZfcbALeFztwlqotsW9oGflI5Aa+9JqO2oikpAa66yly4M2wY8O9/R5+9a9vA11/LDmz6Zf0BA6TloXHj6N/v6ac/x9//fg327VMrwlwuD04++a944YW7kZ0defVaRYX8XAsWmMEzMVFm5vbpE71VYscOufSt99q63VIVbNs2cii3belZ1iuWLpdMXTjQTOL6Rv8zatDAbAMJbWHQrV6tjvUWhjfe+AaBgJR8s7N7oGtX1caiL0DrFzIEUn8PH3WU+di8eapvuFkz4LDDop8XEVFdUe1h17KsaQAesm2bm0dQTHjgAeDdd9XtJ54Axo2L/vz8fBkjplfLzjsPuPfe6P2MZWUShPVLwl6vbAxx+unRq7lr1+7CuefegHnz3jbub99+KF566dmo83JtW1bff/ddeIWwd2/g6KOjb2hRWiqLmUI3ssjOlnAcrZpbWSmbRejhOCFBenrr++5ooSorzZYQfWFaIGCOHNPt2KFel5RkTmj45JPPg8eDB6v9q20bmD9fPU9fgBYImBueDBlifr/P1ZfE8cdHf58SEdUl1Rp29wfdkQAaWpZ1R5SnjWUPL9UVn34K/N//qdtXXy09s9Hk5QEXXmhOMPjb36QFIVoQ2LpVvoe+qKh1a+Duu6NvNSwL0N7Cww//BWVlarl+cnJj3Hzz47j33ouitizs2iWhWt+lDJBgNGKELBCL/D3lEvnKlWoUFiBBtWfPqlszCgqk91OvHqelSTWQC5rC6T3TKSlm68Du3aonN3Q0W+h2v05VPhCwMXfuF8HHzjxThd0tW9RkkZQUcxLD8uVAbq4cZ2WFV26nTFHHp5xyED8YEVEdUG1hd/+IMWf5QlW7pWVW1zkQ/R5r1wIXX6xuDx8O/Otf0Z+flwdccIG5C9V998l90cyfD/zzn2pgPwAcdxzwl79EnzG7evVOnHXWVViy5GPj/sGDL8Sbbz6JNm0i9zuUlcmmEIsWmf21aWmy+Kxbt+jnuXu3tCzo5wnI+LHu3aNXZn0+Cbl6ldKypCVDXzhFim2bYTd0Vzq9qqtXbgGzX1dvYfj22yUoLJTeh8TETIwdOzj42Ny56nl9+pjtEt9+q46HDjVbWlatktnPgLxXR42K/jMREdUl1RZ2bdu+DcBt1fX1iQ6lsjJpVSgokNtt2gBvvy2tBZEUFAAXXaSCrmUBjz4KjBkT+fm2DXzwgSxWc4Kn1ysh98QTo5/Xww+/h/vuu9qo5jZo0BqPPz4R48efEPV1S5fKiKiSEnWfyyVjxI44InpYLSmRbWJDWxYaNJBJC1UF1n37JOjqVWBn+99oLRIkHwycPzOPx+xl9vvNvwt9e+CCArVrmtstfdOON974LHh82GEnIilJ/VOvb/U7cKB5Lt98o46HDTMf+/hjdXzccey5JqLYUVs7qBHVKXfcoXpuExKkZzdasCspkR5dZwcqy5LZuGecEfn5Pp8sQtP7HbOzpae3S5fIr9m9uxBnnPEX/PjjK8b9I0ZchbfffhSNG0eeCbZnj7QshI6pattWWhZCq4YOv18uia9aZbYeeDwyhqx9++htGZWVclk8tBc4M1NaJKqaK0zqAxYgf2b6n/OuXWpUW2qqOY9Yb2Fo08b8APPttyrsjh6tWhhKSszecj3sOgsQAQnPoZNH3ntPHUf7UEdEVBcx7FK9N3Uq8J//qNtPPBE+SN/h8wHXXiszZh0PPxw96JaWAv/4h1lN69FDgm60+bJTpszHpZeei7w8lWYaNGiFJ598EZdfHvnasc8nm0L8/LMZVtPTpR2jql3Xtm2TSrBeBQakJ7dHD7N/VGfbMkEgN9dsk/B6ZUc0Vv4OzOczPySEjmLT+6z1qi4QvYVh8+ZcbNwou0JYlgsXX6yuACxYoMJzhw5mv7a+WPKII8ztqFetUhMcEhKAU0890E9GRFR3MOxSvZaXJ1Vax8kny6K0SGxbdkXTV6vfcw9w1lmRn19QIBXjVavUfcOHy1ixSG0EgYCNa6/9NyZNusWYm3vEEefjo4+eQU5O5KG0mzfLCDN9K1nLksA+eHD0loXCQpmyoG9nDEjg6tUrehUYkIC2c6daOOXIypKqNau5B0ev6qammm0zgYBaSAaY2wMDZvVen6/78stfAZBPH61aHYH27dUlCn2G7hFHmF9v6lR1fNxx5mNva8M/TjyR85GJKLYw7FK9dtNNqnqWnQ288EL0y/X/+59sA+y47jpzQZtu1y7g1lvN+agXXCDPj/T1t28vwIknXobFiz8M3peQkI677vof7rkn8oq38nIZJbZ4sXl/ixayeCjarmuVldJrvH69WZFNSJBFa23aVN2ysGuXuQANkAVLOTnRF9lRZPqfY4OQ0ch79qgqbEpKeMB0KvhNm8qiQ8cXX6gpDEOHjjaer28DrIfdvXvNx/TFZ7YNvPmmun3OOVX9REREdQ/DLtVb33wDvPqquv3ss9ED4ldfyTbAjjPPjD6SbOtW4JZb1OIhy5LnnnRS5OdPn/4bzj57DPbuVbsDtGx5OD788C0cfniHiK9Zv16quXpYSkiQPsvevaNv8LBli7Qs6JtYWJb09HbrFn1BXiAg4WvvXjMgu1zyZxbaa0oHVlkpCyMB+bPTAytgLkzLyYn+dfQWBp/Pj8WLVYn2nHNU2F26VFWSGzaUXmzH1KlqkVy/fhKgHXPmqI0r0tM5coyIYg/DLtVLZWUyC9cxdmz0vtuVK6X1wDF4MPDgg5HD3ebN8tw9+4cneDzS+nD00ZG/9qOPfoi77roIPp9q3DzhhOvwwQdPICUlvP+gokLGQzkLiRwdO0o1LjQwOQoK5DX6Ll2AjAQ77LDwqmLoa3fvVlVGR0aGBF0P/xX5Q/Sxbikp4fOHnQ9LQNVht317dfz55wuDkztSUprihBN6Bx/Td0Y78kjz/asVgzFa5WMA5gfCsWM5WYOIYg//N0X10hNPqNXsGRnAU09Fft6+fbINsLMLWJs2MlkhUsDbulXaIpxAmZAgi9MiLXbz+wO44IL78fbb9wbv83pTcd99L+COOyJfJ96yRUKJ3ueZnCwhN9pUh8pK2ShgwwazIpucLBtDhPaB6kpLpS/XqT46kpKk8sfQ8+foC9NCP6QUF6vH3e7ok0GSk80q7JtvfhI87tv3eLjd0jxt2+b21/o2wHv2mL28etgtLTV3E4zWtkNEVJcx7FK9s2WLTFBwPPBA5MqZbUvf7aZNcjslBZg0yRz/5NixQyq6TtBNTJSv26dP+HMLCkoxfPjFWLhQzXLKyuqADz+cgmOP7RH2fL9fqnJ6TyUgAXfkyOjb9W7eHN6y4HLJYqYuXaLvZBatL9fjkUouFyf9ebZtTr8IDbv6osHGjaMv+Gvb1qzQfv/9p8Hj005TIxM2blS96cnJQN++6jWff676fwcMMMPzhx+qD1cdOpghmYgoVjDsUr1z110qaPTuDUyYEPl5r71mjmN65BGzP9KRlyeh2AkoiYnS5tC7d/hz16/PxbHHnopNm1QprUuXkZg+/R20bBk+/iAvT7Yw3rlT3efsXqX3XOqKimTRmrPtqyM7W6YsRGt18PulypeXZ1aBLUt6PBs14pSFQ6W8XAVMjye8V1r/u4vWRw6YG0ksX74FO3bIakWXy4uLL1YjFWbNUs8bOND8fp+pkbxh/bgvvqiOL7+cfdlEFJsYdqleWbIEmDxZ3f7XvyJXOFesAB56SN2++OLwXkZAQvMdd6iqmccjrQuRgu7cuWtxwgknGPNzTzjhekyZ8iQSEsL/U1y+XBYO6eO92rSR0U/pEfaUCARkIVHoxhBJSdKXG61lwdmuNjfX3P0MkF7e7OzoC9foj3HaYoDIlXmn5xuQyq4jtG9aD7uvvfZl8Lh9+6Fo0kS9SfR+3SFD1PG2bTJ7F5D/DvTd/FatkmkfzmMXXRTlhyEiquMYdqleuesuVbU86aTwXaIACZc33iiX8wGge3fg9tvDn+fzAffdp3p/LQu4+26gf//w53711WKceeZxKClxVh1ZuPbaf+G//70h4tf95htzEZrLJefav3/k6lpenmx0obceWJYsXuraNfoisuJiaVnQWx0AudTdpAn7cquL3gcdOq6tpEQ97vGYiwf1ubtZWWaV/uuvVdgdPlyN/ti1S01T8HjMXdM+US2+GDzY7A2eNEkdjx4NNGt2oJ+KiKhuYtilemPuXLXq3LKkpzaS//xHbQSRlCSL10I3ZrBt4N//VlUxAPjb3yL3NL733hxceOGJKC/PBwC43Ul47LE3ceON4eMf8vOBKVPMlfhZWXJ5We+ldPj9UgHWd9MCpK+4T5/o/bUVFfI99IkAgFRws7Orns5Af57+4SI07Obnq+OsLPPDjb6RRKtW6riy0odly2YEb48bd3zwWF+Y1qeP2tnOtoGPP1aPnXaaOi4rM6cwXHVV1B+FiKjOY9ileuP++9XxuHFyaT/Ub7+ZFa3bbjN3p3K8/z7wpSqk4eKLzUvAjlde+Rbjx58SHC2WkJCB11//HOPGhafi9eulP1cPQt26yW5WkXZB27NHqrn6qn63WyrR7dpFrgBH68t1uaSq17Ah+zJrgt6aErodsx52QxdD6puU6GH3iy/mo7xcVpKlpbXAsGHdgo/pLQz6h7GVK1XFNynJ3DXt/ffVYsu2bcN3VCMiiiUMu1QvLFliVnXvvjv8OX6/9N86fauDBsmuZ6HmzzcD8ahRkZ/3/PPTcPXVp8Lvl2vSycmN8dFHU3H88X3Dnjt3ruqPBCR8Dh9urprXzzNSNbdJE+kVjjadIT9fFtGF9uVyXm7N8vtVT7XLFd4zro+W0yvztq16wwHZKc/x4YdqJWWvXqPgcsknlsJCc4e9I49Ux3pVd+RIVfEFgGeeUcfjx3NhIhHFNv7vjeqFxx9Xx2ecIRXTUK++CixbJseJiTKeLPR/8tu3A//8p6qK9ugh7Quh1dDXXvsO11xzWjDopqU1x5dfTseQIeY39vlkJzTn+8pzgdNPj9wjmZ8vrRN6+4HXKzNzW7eO/LNHm5ebkiIBmVv81iynFxyIvPAv2hbCe/eaFWE9CM+ePTN4PHLkyODxvHkqWHftqha7+f1mv+7pp6vj+fPlwxcgVxQuv7zqn4eIqK5j2KW4t20b8M476vYtt4Q/Z/duc2OJ668PD48VFbIgzQmajRsD994bHljefXc2Lr/8JPh8suS+QYNWmD7927Ctf0tKpLq2dau6r2VL4NRTzSobIOF6zRqp6OrtB02aSPU3UmD1+6UvV68UAnK+TZpEnuhA1U+fqBBaTff51KQGl8t8H+iL03SlpRVYv16Nshs79tjgsd6vq1d1585V4+waNjR3+Pvf/9Tx2LFVjz4jIooFDLsU9yZNUgHjqKPM1eiOxx5Tva8dOwJXXBH+nGefVZMXPB4JullZ5nM+//wXXHjhicEe3bS0Zpg2bUZY0M3Lk75IvT+zVy+5nBx6Wbu0FFi40Jy96nZLNVcfPaWL1LJgWaovl5ela48+Fi7071rfaCIlxfx70mct6z79dF7wg1VWVgf07Cn9DT6fqtACZtidMkUdn3yyCt27dwNvv60e07fUJiKKVQy7FNcqK4Hnn1e3r78+/DlLlwIffKBu3313eLV21ixZPOa45prwTR3mzl2HceNOQEWFlFKTk7Px5ZffYOBAcyeK7dvl++mzVocNi7yt8I4dsghNv3ydlSUjyEKrv4Asbtuxw/zagLRGNG3Kebl1gf4BJPRDR2jY1UULu19/rXaM6NFjaPD411/V18vJkUWLgLSz6IsrT1UbreHll9UCyQEDpG+diCjWMexSXPviC3X5t1kzszcRkJYAfevgkSPNofuAVFSfeELdPuaY8J2mNmzYgxNPPDE4RzcxMRNTpkwL69Fdv16qak7fpscjlbVOncyvFwhIy4JTSQakMtu5s2z1G9ojHAjIeTor6B1er4TcaLumUc0LnYKh0z+khM44Dt0RzzF3rhq3cNRRg4PH+vbSgwap98yMGaoVp00btaW1zydXLxzXXsvJHEQUHxh2Ka7p251eckl4ZfPHH1Vfo9st2/7qbFsWtzmLhpo0kQ0n9BBQWFiGY445FXv3rtr/dRLx6qufYtQocxu1VaukOuxcxk5OBsaMCd/ZrKxMFgnpu2glJUmlTR/67ygulkCvL3xyWhYaNWJgqWtCt2LWRdtsoqgofIEhAPj9Aaxe/UPw9qmnqsrunDnqeXqFVm9hOO00dQ6ffgps2iTHjRvLeD4ionjAsEtxa/du4Kuv1O1LLjEft23ZLtgxdmz4TN0vv5TgCUgouP12s0oaCNgYMeIybNrkrASy8PDDb+Dss83y8NKl8rWcoNOggXy/hg3N77dnj6yg12ftNm0K9OsXPms3EJAFaHrfLyCXv3NyIs/mpbpN/3vX5++GVuwdP/ywLLhZSUpKUxxxhFwi2LZNzeRNTFTV2/x8YOZM9Xp9I4mnn1bHEyZwSgcRxQ+GXYpb772n+iMHD5aFZ7rvvwcWLZJjrze8n3f3buC559TtMWNkEZnu0ksfwbx5bwVvX33147j55rOM5/z6qxm6GzaUqlnoNIQNG2QesBOILUtGpHXsGF4BLC6W3l99Zb/bLZXnaLumUd2g/13qVV4g+mYTeXmRv9bXX6tehY4djwzO19UXpvXpoz74fPWVes/07q0WOC5ZouY8u93AlVce3M9CRBQLGHYpbr37rjo+77zwx/URS+eeK9VQ3X//qxb4tGwJXHaZ+fgzz3yJ1167M3h75Mir8MwzNxrP+e03M+hmZ0vQ1RcfBQLyvPXr1X0JCdK2EDr2KVo1Nz1dKsDcGKLu08OuPpkBiD6DN/Tv2/Gz1pjbt6/qVdC3sT78cHWsz9bVq7r//a86HjNG3u9ERPGC/2ukuLR9u0xQAGQR0Jgx5uMLFqj2BI9HLtvqfvrJ3Gb1b38zK23z5q3HTTedB0BKc+3bD8Vnn/0HlpZkli83V703aQKcfbZ5ebiyUtoWdu9W92VkSI9l6AKl0lK5PK0HIrdbQjpn5sYOfVFaaNjVJzXoH1xCZyU7VqxQJdyhQyXs+nzqigWgpnzs2KEqvi4XMHq0HO/dC7z5pnp+pIklRESxjGGX4tJnn6lLxEcfLVVP3QsvqOPQ3crKy82q7+jRZvtCYWEZTjvtrGCvZHp6S0yf/h4SE1UpbvVq4PPP1WsiBd2SEllEpO+Y1aKFbBKhz1+1benlDV2Nn54uQTd0VivVbfrfV1VhV39epLBbWlqOnTuXBm8fd1w/ALIbnzPVISdHbSv8+efqv4kjjlBXDV58UT2/Tx9p+SEiiicMuxSX9Jm4+uVaANi8GZg2Td0eP958/L331Liy9PTwDSbGjLkZ27cvBAC4XF68/vr7aNeuSfDxTZvk+zvBwlnZrgfdggJg9mxzQVLXrjJWTFdZKdVcfSSVyyUhRt9KlmKHHmL1nmvADL96BVj/QOT44YdlCATkC2RmtkfLltKsvXChek7//qpt4rPP1P3ObF2/3xw3dv31nN5BRPGHYZfiTlmZzBJ1nHyy+fjkySqIDh1qLlzbswd4S603w+WXm6Hyqac+xfTpzwRvX3/9kzjtNNUruXs38NFHqkKXlSVBV29J2L1bLic7QcflkmpuaJ9kUZG0Y+jVvpQUqUJzc4jYpYdd/e8WiDyWLBBQu/vpfvhhUfC4TZs+weNfflHP6SfFXmzeLIvQAGmPOO44Of7sM2DjRjlu1EiuPhARxRuGXYo7P/2kKqGdOpnjxMrLpXLruOgi87WvvKKqre3bq75GAFi9ehfuvPPy4O2+fcfgySevDd4uLJQtgJ0V9WlpMl5M3+ls+3bpFXYqeF6v9Ofq83NtWwJx6Lip7OzIc3YptugfVEIru5FE22ji119VC0O3btJnU1YGrFihnuOMHPviC3XfkCFqYoe+MO3yy8P7xImI4gHDLsWd6dPV8ahR5mNff61WtrdsKZVdx6ZN5uSEK69Ul5IDARtjxlyB0lJZSZaW1hyffPJ8cNRTRYVsAezsTJWQAJx1ljkGbPNmqbo51bukJODII83Ksc8HbN1qBhyvVzaeYBCJD5Yl1V2/X94LPl/VUzSibSG8evWy4HGvXj0AyFQPp1rctq16/+n9486VjhUr1BUQlwu46qo/+AMREdVxDLsUd5x5oQAwYoT5mF7VHTfOvKT8yisqiPbvL78cd975En77TTUC/+c/r6BlS9kRwrblcrAzUcHlAs44wxwbtmEDsHixup2WJguB9ABbWipBV6/2paVJ2wIXocUXr1eF0ooKFXYjjSXTd07T3y9bt6qwO3BgdwAy09nhVHU3b5ZNTQD5Ps5/E3qv7skny9bBRETxiGGX4kpJiRopBsglW8f27bIoDJBQoY8jW79eNplwXK66FbBy5Q489dTNwdsnnHA9Lr1UlYx/+AFYu1Y9//jjgdatza/t9EsCUskdPNgcZZafD+zcafZssm0hfiUkqBAbOkrO4YRdvcpvLnKUZlvLcmPQIGk8199nzgQR/WrFkCHy/isqAl59Vd1/rerGISKKOwy7FFfmzVOV0e7dZRKCQx9HNniwOW7sjTfU8eDBQOfO6vYFF9wYHDOWldUBb7/9SPCxlSsBba4/Bg0CevZUt51d0RyZmdK64OxoZduySYS+Q5bbLW0Leq8vxRd9K2d917RIi9eibSHsyMhoi7S0BPh88n50OO/Dr79W951wgvz+1ltqwkOXLuFXQIiI4gnDLsUVPXgecYT5mL571Omnq+MtW8yq7gUXqOP//e8rzJ//dvD2k08+h4wMuZa8Z4+5aUT79jLT17F5s9m6kJUlQddZoBQISNuCvtI+MVF6iTltIb7pYVcPs5HGkulhWH+do2lTWYG5erV6brNmsi31rl1qOoPbDYwcKR+w9G2wr7yS48aIKL4x7FJc0VsYBqmJYNi8WYbtAxIk9YVr776rKr4DB6qq7r59ZbjrruuCzxs8+AJccslIABIqpkxRl6CzsqTv0QkN27ebI6Cciq4TYn0+OSc96KSnS0jR56tSfIpW2dUXqjlhV29ziBR2W7aUsLtMtfCih6xXM0bwHX64vE9//lntsJacHD6RhIgo3jDsUlyJNGMUMPsWjz5aba+bn29uMHHOOer4uuueRH6+NOMmJmbijTeeCD72zTdS2QUkoJx2mrrEnJsrodsJ0A0amEG3vFyCrr4QrVEjc0EbxTe9HaGiQqr8LpdZ0XdCrv4+iVTxb9u2HQAz7HaX9WqYOlXd53zAmzRJ3Xf22RKAiYjiGWtIFDcKC4F16+TY41HVLUDCqeP449Xx55+rUNGlC3DYYXK8dOlWvPXWA8HnXX31P4O7pC1fLiOeHKNGqaBaUCCVM2dxkTN1wanIlZbKiDMnwFiWVHMZdOsXy4rcyhCp4quH3UhTOdq3l9WQer9ut26yWPOnn9R9I0fK+/Pdd9V9obsHEhHFI4ZdihtL1Yx9dOmiqmf5+cCCBXJsWcCwYXLs85l9vGPGqDaEq6/+P/h8MuC0adNeeOSRKwEA+/aZ1bIePdRCoNJSYM4cFU6SksypC0VFEnSdhUcul/Tn6rN4qf7QJytUFXb1XdYihd3OnVujoEBtce31Au3aAT/+aH6Qa9lSFqY5c3t79TJbfYiI4hXDLsWN5cvVsXMZF5D/6TuV1j591DivOXNUK0JWFnDMMXI8c+YKzJr1cvD1jzzyJBISPLBtWZDmhJDMTKmWARJw58xR46S8XmldcOaiFhbKYjSntcHjkfFknLhQf+lh13nfRAq7znsXiNzP3aVLS6xapW537Cjvr5kz1X3Dh8vvL72k7rviCi5MI6L6gWGX4oa+TWrXrupYn7Sg75j22WfqePRotTjoxhv/DtsO7P86x+Hii2Uu0y+/SGUWkJBw0kkSTmxbenT37ZPHXC5Z6ObsjFZQYAZdr1cG+Othh+qfSGFX7+V1qr367OXwcGqhc+ccrF6t7unYUV7z7bfqvmOPlUVpzhWOxETgvPP+3PkTEcUKhl2KG2vWqGNnooJtm32LziYTu3ebrQ0nnijHH388H4sWfRB8/pNPPghAAqsemgcNklm4gCwM2rlTPdanj5rvW1AgkxkcCQkSdDlajELbGGzbDLtOAK4q7Kam5iAx0Wu89zt1kv5d5z2ZkQH07Ss7BDrGjOHCNCKqPxh2KW6sX6+O27eX37dsAbZtk+OUFLWr1PTpKkT07Qvk5Mjx3/9+X/BrDBgwFieeKHsGf/216n9s3Fh6cZ2vHxo0WrWS49Cgm5goQdfDGSgEuQKgby5SVha52luVjAz5xKXv4Nexo/nBbMgQ6ft9801132WX/YkTJyKKMQy7FDc2bFDH7WQaE+bNU/cNGCBB07bNcWPOdIbPPluIpUud3gYLTzxxLwCp3G7cuP9eS3ahcrulbcGZVwpIYO7WTY4LC8ODbuvWkRcYUf3l9HQDssAxtI1B79eNJDOzKUpLpU0GkADdti0wa5Z6ztChwBdfqP70Vq2krYGIqL5g2KW4UFQklVRAqmVNZEpYsFUBkLALyHgyp/c2MRE46ig5vueeB7XnjsXQod1RXm72PvbrJ6PCfD4J0s5K+bQ0ecyy5FycarLzPRh0KRK9kltaKmE1NPDqrQt6SwMANGzY1PiQ16qVBGT9Q96QIcBrr6nbF17IjUuIqH7hP3kUF5zKFgC0aKECgr7JRH/pSDBWqR91lASOn39ei19++TB4/0MP3QVAKmTOqKa0NNXzu3ixhFpAQuzAgdKH61TZnFCSkMCgS9HplV2nbSG02qsH09BKb6NG2UbYbdtWFks6kxw6dJD34BdfqOdceOGhOHMiotjBsEtxwZkxCqiFYyUlCK5StyzZMMK2zX5G53LuPff8B4Ak1O7dT8DIkb2Qm2uG5eHDJThs2iS9uo4+fWRHtvJyuV+fusCgS1VJTFRhtrJSrhjoYbekpOqw27hx42CLDSBhd/Zsdfuoo4D331f95vp22ERE9QXDLsWFXbvUsdPCsHy5CgcdOshM240bVRU4KUmqvVu35uPbb9UA0ptuuhGAVICd4Nq6tQzmLy4GlixR36tNGxnW7/PJFsBOW4MzR5eL0agqlhXeypCSYt7WPyzpG0wAQOPGjYyw26aNGXYHDzYXpp177qE5byKiWMKwS3EhN1cdO1vvLlum7nO2AZ4zR903cKBU1u6//2VUVkpPQpMmPXDJJaOwYYOa7mBZUtW1bekB1vt0DztMAvXmzWrnNGdnNI4Xo4MRWsnVw25JiRl2wyu7Wdi8Wb+ttrK2LLnK8cMPctvlAs4++9CeOxFRLGDYpbiwd686bthQftd3VHM2mdCrXkceCQQCNt5777ngfRdf/BdYloXvvlPPO+wwCdCrVwN5eXKfZcmCN7dbFqM5GwBYlvQMc8MIOlihldyqwq7zgcqRlZUVnKfrckk7j/NhrGtXc2vrYcOApk0P7bkTEcUChl2KC/n56jgzU37Xt1Dt0kUWlDkB2LKksvvqq99i7155YkJCA9xxx/lYuVK1RXi9siht3z4Z1O/o2lWG9e/erRaqATJ+jFsA0+8ROltXv11SYrbChIZdICPYapOTAyxcqB4ZOBB47z11m1VdIqqvGHYpLhQWquMGDaTlIHRHtV9+UZeBO3WSsPrMMxODzxk27CJkZqYaM0r795dKm/7arCx5/b59anYpIBXljIxq+OEorrnd5rgxfdTYgSq7Pp96w7VsaY4ca9MG+PlnOfZ4gNNPP3TnTEQUSxh2KS7o1dW0NOnhdQJwWposWtOrXocfDmzbVoBFi6YE77vllglYvly1KiQmyvPWr1eVY5dLdlyrqDA3jXC+B9EfofftVlaq8BsImIvSQsNuWVmD4HHTpubiSX1iyPDhQKNGh/CEiYhiCMMuxQVnFi4gldjQ3dQsy9ztrE8f4Kmn3offL822zZr1xfDhhxk9vf37S4VY7/3t3FnaFEJn6Trjzoj+iKr6dvWw64wQcxQXpwePfT41X7dVK7Nf96yzDuHJEhHFGIZdigvOQH5Aeh6dHdIAGQGWl4fgqnWPB+jeHfjggzeCzzn99AuwerVa6JaQIGH3t99UNS09XdoXtm9XocKZvMAdqejPCN1IQg+7esAtLq4IHluWB3v2JARv64s0u3YFfvxRjl0u4JRTDvUZExHFDv4vmuKCHgi8XhjjmFq3VuOYAAkCa9dux7p1zsgFC3/96znB/kZAWhUKC81tf3v3lj5dvT84J0eCMdGf4fWqUXWBgDm2rkLlW+TnF2uvScWuXarBV99FMBBQVx6GDGGLDRHVbwy7FBf0S70eT/j2wUuXqts9ewLPPvshnB3TOnY8BikpzYO7sLndQL9+ZkBu1Ur6cp0xT4AsVGugWiaJ/hS9uqtfKdA/yBUUqH4drzfF2ExFX5CpH5966iE8SSKiGMSwS3FBH7bvzBt1NG9u9t127w58/vm7wdunnjoW8+erx3v0kAVu+/bJbbcb6NZNqrxOtSwxkdUyOrT01gV9IoNe2d23rzR47PGkBD/kpaSoBZMJCTCuUrCFgYjqO4ZdigtOCAUkKOhhNzvbrHQlJu7G+vU/OM/GhReOMR7v3RtYsULd7txZpj3oG0c0b24GEqI/S6/s6u8tvbJbVKTCrtutXqBXghs1Uj3sXbsCHTse6jMlIootDLsUF/RwEAjIZg+OykoVVLOzgQ8++BxOC0PbtoNRWJgTDMtt2gAFBer5yckSbPV5uk2amHNRiQ6FxEQ1U9ftNj/AOYskS0rUSkzLUrtP6NVf/fikk6rjTImIYgvDLsUFvbJVVqYWkbnd5jzcTp2AL774JHh7xIjTjNmkPXqYVeAuXWD0RaamSq8uUXXQq7vOzmkej6rulpbqYVd94tIXTeqTSEaPro6zJCKKLQy7FBf01ev6CKZGjcyZuy1bVmDZMjWAdMSIU4IzetPSpJqmjxpLTjbHjOXkVM/5EwFm2NV3TnOqvJWV5dqzVdh1rmRUVqoPZ2lpwODB1XOeRESxhGGX4oLeVqCH3awsYN06dXvTpjmorJTxTZmZ7eD1dg0+1qVL+GYUzm5qgLQv6KGa6FCLNpHBCbs+X3jY9fnUYkq9hWH4cI7FIyICGHYpTiSp9sXg1r4AkJFhBtjFi78JHvfuPcp4LDVVjTDLyJA+YCdkpKQAmZmH+KSJQiQlqf5zr9ccqQcAPp9arWbbkmSLi1UV2LLU6487rrrPlogoNjDsUlzQK2J62E1OVpVejwdYsmR68LGePUcEw2zz5jJuzJGTo1a0WxbQtGn1nDeRzuVSVylSUlSl1hmt5/Op0m0goMKuUwXWr0SMHFndZ0tEFBsYdikupKaqYz3s6ivaGzcuwZYtc4O327UbFjzOyFC9uqmpZr9kw4acvkA1x5m3q/eLOxVev19Vdv1+WcFWUiLv1/Jy9fxWrThyjIjIwbBLcSEtTR3rK9P1y8CFhT8jEJBE26hRNwQC2QDMdgUAaNxYvc7jkUVuRDXFuUqRmKg+gLlccqyHXUAayMvL5T1cqkbwYtgwzoEmInIw7FJcSE9Xx85iHUDNywWA7dt/CB63a3d08DgzU10m9njMKm6TJuZCIaLqpvefO+PHvF6p2jof1gDAsuRBp90mNOwSEZHg/8YpLmRkqGO9slumxpJi27afgsctW6qwq69YdxamAVJha9DgUJ8pUdW8XhVyk5JknJjHI2HX7zfDblmZuirhVHgB4JhjavikiYjqMIZdigt62C0uDj8OBALYtevn4P2tWx8JQAKC0yPp95vhtkmT6jpboqo5rQzJyfIejVbZLS2VKw/l5erqRJs28ouIiATDLsWFhg3VcaSwW1CwGpWV+QCAxMTGaNGiPQCpnDmzc1NSVJU3Lc2c8EBUk5xWhuRkqex6vfJ7IKCa0C3LjZISCbv6FYyjjqrhkyUiquMYdiku6Fv4Ojui2bYKu3v3qikM2dkDYVkW/H4VbisqzMCcnV3NJ0xUBb2yW1GhV3b1wbvuYGW3rEy1MAwZUuOnS0RUpzHsUlzQJyY4YTcQUP2MJSULg483bnw4AKCgwGxVcFoYGjTgqDGqXaGVXbc7cmVXD7sOVnaJiEwMuxQX9EqsHnYdpaW/BI9bt+4LQIKwUznTK8McNUa1zeWSqw7OjmqWJWHXttWb2gm7tq1G5TVoAHTvXksnTURURzHsUlzIylKXcZ0ql98v9wUCNkpKFgWf26FDX5SVqUpucbHaIS09nVVdqhuSktSOas4VCp9PVXZt2wWfT0KwY+BAjsojIgrFfxYpLrjdshmEw+9Xld3i4s3w+wsAAB5PFpo2bYWCAqkG+3yyY5qzSI1VXaor9L5dJ+z6/aqyGwjIP9/OxhOWBQwaVJNnSEQUGxh2KW7o/bd62C0oWBa8Pz29O1wuC4WFEmyLioCcHHksNdUc6E9Um5z3YlKSHnbVVn9O2HW2CAaksktERCaGXYobTisCoMKubQOFhcuD92dldUdJibQwWJYEBaeaq09jIKptTjuNGXZVZdfvl74dfTOJAQNq8gyJiGIDwy7FDadCC8ilXaeyW1q6Mnh/kyZdsW+ftDyUlEjQdRYDpabW8AkTVUFfpObcDgT0yq4VDMEA0KKF+d8AEREJhl2KG82aqWO/X6phtg2Ula0O3p+T09loYXBaH1jVpbooMVH17oaGXb/fZYTdfv1q+OSIiGIEwy7FjebN5XfLUpVd2wYqKtYEn5Od3QkVFbJbmm1LyHW5zG2CieqKpCTVziCTRfQFapYxXq9v3xo+OSKiGOGp7RMgOlScsAtIZVcG8ZfD79+8/14XUlPbIiVF+hwbN1ZBl+OaqC5KTFRtDM4YPUcgYBnP7d27Js+MiCh28H/xFDf0NgansltevhmABITExJYoL09ERgZQWqoWpmVm1vipEh2UxETVu2tZgK33LcAKbiZhWUCvXrVyikREdR7DLsWNFi3UsdOzW1a2PnhfampblJSoFoZGjczKGVFd4/WqjSVcLjPs2raq7KalAW3b1sIJEhHFAIZdiht6G4PPJ4G2vHxD8L6UlDYApErWoIH8npFRwydJ9Ds5H8jc7vDKrqNnT7biEBFFw38eKW4kJZk7oAUCgM+3JXg7JaU1AMDjUdMXuDCN6jpn/JjHA2P6glPZtSyge/daOjkiohjAsEtxpWVLdWzbZthNTGyBpCSpgDVsKO0MHi7RpDouIUF+Sdi1Iz6nR48aPikiohjCsEtxRW9lsG3A798avJ2c3CLY+5iRwaouxYbERPklbQzqfr1nt2vXWjgxIqIYwbBLcSW0shsIbA/eTktrjqQkCboulyzqIarrEhIk7FZV2WXYJSKKjmGX4kp42N0RvJ2c3AypqTJqLDmZLQwUG7xeVdk1SWU3IQFo3brGT4uIKGYw7FJcMceP+QDsDt5OTGyClBSp7LKqS7HCsuT9Gh52RadOnMRARFQV/hNJcaVVK3Vs23vgbCjhdjeCZXmRlCS9ugy7FEtSUqTCG0nnzjV7LkREsYZhl+KKXtkFcoNHHk82kpKA1FRpYUhMrPFTI/rDnPFjkXToULPnQkQUaxh2Ka5ED7uNkZrKqi7FJq9XPqRF0r59zZ4LEVGsYdiluGKGWT3sNkJysjyeklIrp0b0hzmL1CJNY2jXrhZOiIgohjDsUtxR1d29wfs8noZISgLS0xl2KfZEruzKNIY2bWr8dIiIYgrDLsUdtbFEXvA+jycLKSlAVhZHjlHs8Xqj9+xy7BgRUdUYdinuqMpufvC+hIQsNGjAXdMoNrndsrgytIuBVyqIiA6MYZfiTrNmzlFB8D6vNxONGkVf5ENU10Wq7GZn1/x5EBHFGoZdijsq7O4L3peY2AAZGQy7FLsivXebNq358yAiijUMuxR3cnKcIxV2k5MbIDVV5pUSxaJIlV1z1B4REUXCsEtxR4XdwuB9KSlpaNhQtl4likUMu0REfwzDLsWdJk2co6LgfSkpacjMrI2zITo0IoVdfXtsIiKKjGGX4o4Ku8XB+1JT05CRUSunQ3RIROrZ5YxdIqIDY9iluNOwoXNUErwvMzMl6pxSolggO6iZ96nFmEREFA3DLsUdl8u55KvCblZWChenUUzzesPDLkePEREdGMMuxSW55FsavN2oUTJ3TqOY5naH39e4cc2fBxFRrGHYpbgUGnabNGEPA8U2txsIBMz7uOiSiOjAGHYpLiUn+wH4grezs9nDQLHN5QoPuy7+C05EdED8p5LiUnJyhXYrERkZHLBLsS+0Z5eIiA6MYZfiUmJiuX6Ll3spLuiVXW6QQkR0cBh2KS4lJuqV3QTO2KW4oFd2GXaJiA4Owy7FpYSESu2WF2lptXYqRIcMwy4R0e/HsEtxyes1w25KSq2dCtEhw7BLRPT7MexSXPJ4fPotJCbW2qkQHTJ62OUkBiKig8N/LikuuVxm2I00kJ8o1nAaAxHR78ewS3HKrx27ecmX4gLbGIiIfr8aCbuWZd1qWdaC/b/WWpY10bKszJr43lQ/WZY+fZ+f6Sg+MOwSEf1+nur+BpZlTQOQb9t2//232wNYAGAkgA7V/f2pfnK59LDLHgaKPwy7REQHp1pLXpZljYSE2vHOfbZtrwNwG4D2lmVNqM7vT/WXbbOyS0RERNWfAm4DsNC27fyQ+9/d//uV1fz9qZ4ywy5LYBQf2MZARPQH2LZdbb8A2AAmRnksT779QX2NiL8mTpxoOyZOnBj1efu/T1C/fv2iPm/8+PHB582fP7/Krzl//vzgc8ePHx/1ef369TO+P3+mP/8z6b88Hs9BPc/5szjY5x7srzZt2hz0c/kz8WeqLz9Tbf8bEY//7vFn4s/En6nKn2m+HSVLVltld39vLgDkR3nKuipeO8GyrPmWZc0/5CdGRERERPWGZVfT4EbLsvpBFqLdZtv2oxEenwbp582yw9scggYMGGDPn8/MS7/PKacswGefDdh/qx9se0Gtng/RoZCYeCsqKh4DAKSkPILi4ltr+YyIiOoGy7IW2LY9INJj1dmz2/7ATyGqCdXzgY6IiIjqvuoMu/n7f29U1ZOqquoS/VGWpb+1GXYpPuiL0ribGhHRwanOsLt3/++ZUR5viOj9vER/ihl2A1GfR0RERPGtOsOuswAtWjtDJqpYpEb0ZwQC+lvbH/V5RLGKlV0iooNTbWF3f3vCOgARm4UhIfid6vr+VL+ZYZeVXYoPbGMgIvr9qntTiYkAMvdPZgjav7MaAEyq5u9P9ZRl6VsE+xkMKC4w7BIR/X7VHXYnQaq77zl3WJaVCQnBt3FxGlWXQMCj3fLBz04GigPcNY2I6PfzHPgpf9z+MNvBsqyJlmWthVqQdptt2+9X5/em+s3nM8NueTngqdZ3O1H108NugN05REQHpUb+92/b9pU18X2IHJWVXv0WSkqA1NRaOx2iQ4JtDEREv191tzEQ1YqKigTtViUKC2vtVIgOGYZdIqLfj2GX4lJ5uR52K7BvX62dCtEhw7BLRPT7MexSXCor08NuOfLza+tMiA4dl/YvNsMuEdHBYdiluFRWlqjdKkdBAZMBxT5OYyAi+v0YdikulZa6oK+/3L27ovZOhugQCATMyi4AjtQjIjoIDLsUl0pLASA5eHvXrtJaOxeiQ8HvDw+7bM8hIjowhl2KS6FhNze3DD5frZ0O0Z/m94e3MezZUzvnQkQUSxh2Ke4EAkBZGQCkBO/Lzy9BBTsZKIZVVobft2tXzZ8HEVGsYdiluLN3r3Okwm5eXvH+AEwUm8rLwyu727fXzrkQEcUShl2KOzt3OkdpwftKSorZ30gxrTRC2/mmTTV/HkREsYZhl+KOurSr9gcuKSlCQUGtnA7RIRHpysTmzTV/HkREsYZhl+KOquymB+8rKSnC3r0cxE+xK1LY3bKl5s+DiCjWMOxS3NmxwzlqELyvpKQAxcXgIjWKWZHC7tatNX8eRESxhmGX4o5atKPCbnl5AQoKIvc9EsWCSO9ddRWDiIiiYdiluKPCbkbwPp+vAHv2MOxS7IpU2c3NrfnzICKKNQy7FHfUpd2s4H0VFfkoKAD27auVUyL6U/x+oLg4fPRYYSFQUlI750REFCsYdinubNvmHKmw6/PlobRUZvByJzWKNZWVkSu7AMePEREdCMMuxZ1IlV2fbw9KS1kJo9hUWRmpBUdGi2zcWOOnQ0QUUxh2Ka7s2wcUFTm3Ggfvr6xUYbe4uFZOjegPq6x0dlCzwh5bv74WToiIKIYw7FJcMUcxqbDr9+9BSYmEYYZdijWVldGvSKxdW7PnQkQUaxh2Ka5EC7s+326UlUnQLS2VKhlRrKioiN6zy7BLRFQ1hl2KK/r2qZbVGM5b3O/fA9uuRFlZaKsDUd1XXBx9YeWqVTV7LkREsYZhl+KKvn2q2+2GXt0tL9+FkhKgoIBhl2KHbUvY9fsjP75mTfTHiIiIYZfijN7GYFmAy5UTvF1auh1FRUB+vrQycAQZxQJncVp4oJVpDBUV5hUNIiIyMexSXNEruxJ2mwVvFxVtQ3m5VHYDAZnMQFTXVVRI2PX5Ik9jAIAVK2r4pIiIYgjDLsWV0Mqu290yeLu0dCvKyyXoFhQw7FJsKC/Xw66637Ls4PHy5bVwYkREMYJhl+JKaNj1eFoEb5eVbUFZmYTdvXtllBNbGaiuq6iQX35/9MrusmU1fFJERDGEYZfiRlkZsGePuu1yAV5vq+DtkhLZV7WyUj1v376aPEOi36+8XN7b0Sq7tg0sXVpLJ0dEFAMYdilubNumjj0eCQYJCW2D95WUyL6qlZXSwlBRIe0MRHWZM2M3vLKr2hiWLpUrFkREFI5hl+KG3sLgdkvYTUpqG7yvpGQDUlKkfcGypLrrVM2I6qLKSgmxzjQGPezqPbtFRdw2mIgoGoZdihuhlV2XC0hKagVAAkJ5+RYkJZUjPx9ITgZyc+W5+fk1faZEB8dZUFlRIbdDK7tu9/4jG1iypMZPj4goJjDsUtzQw65T2fV4EuF2t95/r43CwvUoKAASEqSyGwhI3y4vAVNdpF95sG3A5VJh1+Wy4dL+BV+8uIZPjogoRjDsUtxwwq5tq8qu9O12DD4nN3cNEhJkUwmXSwVe9u5SXVRWJoEXcMKu+ic7NOz+8ksNnxwRUYxg2KW4sX27OnYqu9K321F7zio0aCAhNzUV2LVL7s/Lq+GTJToI5eXywQyQD2V6ZdftDhjTGRYurOGTIyKKEQy7FDd27lTHTmUXAJKTuwTv3717BdLTgd27gZQUmbfr9EQWF9fwCRNVwXlfOm0MoWHX5bKNsLttm/mBj4iIBMMuxQ097Lrdqo0hPb178P68vKVISZHRY7YtvbvOQrW9e2v4hImq4ITc0lI1X9ftVv9ku90yjSExUd7LADB/fk2eIRFRbGDYpbjhtCQAKuwCQEaGCruFhcsQCNhIT5dWhrQ0FZKLizmGjOoO571YXq6HXb2yK6sqExLUa+bOramzIyKKHQy7FBf8flWhBcywm5raEm53BgDA58vHjh2bkJEh4djjkZBbWSnP1XdgI6pNB6rsOmHX65Xbtg38/HNNniERUWxg2KW4sHevupSblCS/u91qXFNKSt/gc9eu/QVJSdLKAJjV3cJCtfqdqDaVlakNJZyw6/G4g49bVgBer3xgc8ybJx/8iIhIYdiluKBXdVNT5Xd9LJMedjdvlhlNliVVM6/XnMagfy2i2qAvTrNt+eX1Apal3tS27UdSkryPnc0l9u2TrYOJiEhh2KW4oLcfJCfL784CNbmvX/Dx3Nx5ABBsZXA4s3ZZ3aXaprcweL1SrfV6AZdLVXZt24/kZAnGztUMAJg9u4ZPloiojmPYpbigV2ZTUuR3y1JV3kaNBgYf3717LgIB2WrVCbUJCeY0ht27q/mEiargzNYtLZX3ZmWl/K6HXcAMu04bzw8/1PjpEhHVaQy7FBf0oOoEXP24QYNOSEjIAgCUl+/B1q1r9x+rxWmlpXLpGACKioCSkuo+a6LIQiu7kcKubfuRkhJe2f3xxxo+WSKiOo5hl+JCfr46jhR2XS4LTZoMCt6/ebNc601MVKHW7Ta3DdZbHIhqkl7ZTUyUsCttDGo1mm37gpXdxETVo75pE7BhQ82fMxFRXcWwS3Fh3z51nJ6ujvWKV7Nmg4PHW7bMCh471Vzn6ziXg8vKzPBLVBMqKwGfT47LyiTk+nxS2XW7zbDrLFADzM0lvvuuhk+aiKgOY9iluOCMEQOABg3UsR52c3KODh6vX68aG/Pz1Wp2n8/cWGL3bqmcEdUUp6oLqDFiqo3BDLuAeo87CzMB4Ntvq/ssiYhiB8MuxYWiInWsV3bdbv3+QXC5ZAL/nj3LYVnSp+BUwxy5uWb45SgyqklO2C0vV+/DQEDm6brdXu2Z0mzuVHRDw27o+5qIqL5i2KW4UFysjjMzIz9nz55ktGqlpjJs2KDKX/n5ajh/SYk5mD8vj6PIqOaETmIAVOjVw67bLZXdlBR5vyYmqudv2QKsXl1TZ0xEVLcx7FJc0C/96mG3tBRo1EiOfT6gV6+Rwcd+/fWbYL/j9u1AdrZ63fbtqlJm28COHdVz3kQ6Z8c0QD7AOeHVWXzm8SQEn+tySbN5aqpqtcnKUl9r+vTqPlsiotjAsEtxQe+z1cNuQQHQtq263bv3iODx4sXT0Lq1utZbXGzuRBUIqMU/paXmLF+i6uDsmAbIhzPn/ai2C1Zh17JU2HWuRDi7rQHA11/XxBkTEdV9DLsUF/Q2A6eSC0hAbd9e3W7VahC83jQAQEHBBvh8K4KPrVhhBuN164CGDdXt3bvVTF6i6qBfoYi0MFIPu0D5/vvUoswE7eFvvzUnjRAR1VcMuxQX9BCqX8rds8cMsFu2JKBHj+OCt2fM+DQ4i9dZ5Ob07jobSzgBIhCQ9gai6hJpEgOgKrteb6L2bPUJz2nB8XqBpk3luLiYG0wQEQEMuxQn9CpYUpKayOD3Azk56rFVq4CTTjo1ePubb6bgsMPU40uXAh07qtsrVgBNmqjbJSVsZ6Dqo+/a58za9fkkxAJAcrKapWfbKuzqE0hatVLHn39eHWdJRBRbGHYpLuhjllwuc7GZxyMr1QEZIzZmzEmwLHnrb9gwG6mp24OVs02bgIwM9fyyMmDrVrM1YtcuTmegQ6+8XH1o0/vFAXW1ITVVhd1AQJWBE7WCr97K8MUX1XGmRESxhWGX4oIeDGzbrObm5gKdOqnbZWWN0a7dUOfZeOOND43HFy0CunZVt1evBtLS1PB+2wa2beMcUzq0ovXrerXRuqmpapiu31+qHavn5OaqSSIrV3IEGRERwy7FBZf2Tg4EzLC7bZsZXpctA046aWzw9iefvIf+/c3HGzdWi378frmveXMVqsvLgZ07q+EHoXpLb2HQP0jpldoGDcyw60xrKCmR9ycg/euDBqnXfPppNZwsEVEMYdiluKDvlObzAS1bqttbtwI9e6rbv/4KXHPNGACSXNeu/R5FRVvRrJk87vcDCxbA6OXdskXGkTmLfwDZiGLfvkP+o1A9dTCV3YyMlOBxZWWJ0U/eoUPk408+OYQnSUQUgxh2KS7ogaCy0gy7mzaZYXflSqBduxx07Dhs/z02nnrqLaMatmiRtC60aKHuW7xYqr1OxReQzSbYv0t/VmWlmijicpnTRfT3dmZmqvaaYjRpokrA+nve5VJXO378kVchiKh+Y9iluJCsru6irAxo3Vrd3rhRNppw7vP5pC3hzDMvCD5nypQ30LGjWohWUQHMny8hWR9Ftnq1tEjo48i2bjV7Jol+L72qm5xstjSYPbuqp8G2fWjYUH3S0kfurVgBDBkix4EAq7tEVL8x7FJc0MNuSYk5W3f9eumB7NNH3bdwIXDDDWPgdsuqsx07FmP69CU48kj1nAUL5HXdu6v7Vq2S0NuihaqcVVRIXzDRH6WH2+RkmZHrcD5sAWbwBYC0tELjec5Uhs2bgZFqZ2x88MEhPFkiohjDsEtxIS1NHRcVyQIzZ/ZocbGMC+vXTz1nwQKgWbMM9Ot3evC+xx6biK5d1a5pFRXAvHkSnJ2qWSAA/PKLVHadHl/9exD9EXpl1+tVO5+5XGY/uh58ASA5WYXdHTuAXr3UY/q83RkzZIMVIqL6iGGX4oLeR7tvn0xN0DeHWLUK6NtXVWNXrZIFZtdeOyH4nO++ex15eUXBy7+AhOLiYvO1+fnSzpCebs7f3btXHiP6Pfx+s+9bn8SQkmK2yISGXbe7IHi8dStw+OHqsQ0bELxS4fcDH3106M6ZiCiWMOxSXMjIUMdO4OzSRd23YgWQmmq2JMydC1x44bFo1EjmklVUFOKhh95A585q1zSfD5g1S4KtPr5sxQr5PtnZZlV5xw7zEjTRgehV3aQk6Tl3pKSondSA8LBr2wXBcXjbt8uHMsfPPwNj1YQ9vPPOoTtnIqJYwrBLcSG0wgoA3bqp+1askN+POELdN3s24HJZGDfuquB9r776H9i2jWOPVc/79VdpUejYUbU42LZUfX0+mW+apDa2wtatZmAhqooedlNSzP7dA1V28/PzguPwbFtaa5y2h5UrgVGj1GzomTPlwxgRUX3DsEtxIXQ7X8Cs4v72m/yuL0CbN08uH9999yXweqU8u3v3crz00tdo0wZo104995tvJDT062dOZ/j1V2lvaNlSLR4KBGSBkNN3SVSVqiYxhIZdV8i/2Lt37zUmj+zapeZD27bMhz76aLkdCLC6S0T1E8MuxQV9uL4Tdrt1U+Fg7VppL2jdWi3cKSuTwNusWQZGjLg8+PonnvgXAGDYMPX6LVtUK4S+CGjTJgm2Ho8EXqeq5vfL/folaKJQtm1eBQgNu8nJZtjVF6sBwJ49e9Gmjbq9aZP5ge6nn4Dzz1e333rr0Jw3EVEsYdiluKBvD7x9u/yenAx06iTHti1VWMsChg5Vz505U36/776/wLLkP4cVK6bi668XoVEjswdyxgyp1rZqZa50X7xYFsUlJkrgdS4bV1ZK+GDgpWjKy9VuaV6vfGgKbWvQd1MLrezm5uYaYVdflAbIhhJnnqnmQs+bJ+0NRET1CcMuxQV9p7OtW1VACB03BsDox509W8LFwIHt0bfvmcH777rrAQDAUUdJNReQyvAPP8hxr15qYZrfL4vdKislYOuBt6JCKrzcdIIiCW1hiHRf1WF3V9hM6f791bzddeukcnzSSeo5r712SE6diChmMOxSXEhLk13SAAmYTitD//7qOfPmye9t2yJYDSsvl+oXANx//53B5y5Y8D5mzvwNiYnA8OHqayxcKBtIeDzAwIHqsnJxsdqEIjVVFq05ysulwsvAS6FCJzEEAuYYssREcxSZ8yHKsXfvTrRpo+7fskUCsT6CbNYs4KKL1O033uB7kYjqF4Zdiht6hWvDBvld/5++Mz3BsmSVuuPrr+X30aP7oGfPU4P333TTvQBk5Ji+WO2rryQspKebbQ47d8o2xIA8FinwsqWBdKH9uqFBN7SSG6qgYCeSk9V7LRCQ974+K/qHH4ATTpCNVgAJxN9+e0hOn4goJjDsUtzQw+66dfJ7y5aqxaGkRPprAdlK1amG/fKL6vN96KH/C36NhQs/wGefSTn4uOPUtIU9e1Q1uEUL1RcMAGvWSKgFZKOLSIG3svJP/qAUF/x+NbHDssJn7Orj7KIpKJB9qvUNVNasMfvSf/hBrkCcd56676WX/sSJExHFGIZdiht66Fy1Sh0PHqyOZ82S3xs3Nqu+X3whv598cj/07asm8d98s7Q2NGgAHHOMev7cuVIhA2Tqg75AbtEiYPduBF+nB96KCgm8HEtGoVVcyzLvc8Ku3rqgtzQAQHHxTpSXVxphd/VqoHNn9Z7ct0/aby69VD3no4/UPGoionjHsEtxI3THNIczZxQAvvtOHZ98sjr+8ktVcX3qqfthWdKMu3LldLz44lQAQJ8+qtfXtiUgl5dLGOnfX+3iZtsShgv27+TaoIFUgPUpDRs3cuOJ+i60XxcID8BA1WEXsLFq1Q7jg97q1fIafSHmzJmyqNL5gFdRAUye/OfOn4goVjDsUtzQd0xbulQdH3WUWki2ZAmQmyvHgwapPsb8fDWGbOjQLhg69LLg6++882+oqPDBsoATT1QhpKAAmDZNjj0e+XpOaPH5ZNKDMzM1Pd2c0uD3S4WXWwvXX5GquHrF3xkXps/W1SczOFau3BLWSuPzyZxox4wZ8rte3X3hhUjhmYgo/jDsUtzo0UMdr1ypwkRmpprKYNtqcY7bDZxyinrNRx+p//k/99x98Hpl5tiuXUtx883/AyCh9fjj1WuWL5f5vYAsMDrySLXDWnm5DPV3ziM1VTa1cMKLs9Nafv6f/9kp9uiVfecDlB6AI4XdSFMUVq3ahIwM1bbg80nP+uDB6musWiXvtXPPldm9gOwqOGfOoflZiIjqMoZdihvp6UCHDnLs96stggFgxAh17ExfAKSVQQ8EzgK2rl2b4bzz/h583sSJd2Pdup0ApF3C2ZIVAKZPV6POGjSQCq+zir64WAKvU7FLTpZWCGexGwDs2KF6fKl+sG2ziuuEXX3x4sGG3XXrZEVk167qvuXLJdTq/erTp8v785xz1H2TJv3BH4CIKIYw7FJc0UeBLVyojvVq7A8/yKIdQPpsjztOPfb22+r4v/+9EQ0byvXhiop9OP/8G4OPjRihWiB8PmDKFFWpcxa/OS0L+/ZJ4HWCTEKCBF59tf2ePeZmGBTfQiu4zocjPew6H4icKwWhjzs2bFgPwGzjcUbg6SP2nJabCRPUfe++y4VqRBT/GHYprgwYoI5//lkdt2ql2hx8PmDqVPXY2LEqmM6fryY5pKUl4sEHnwk+b86ct/DCC1IW9nqB005T1bf8fOCzz1QbRE6OuXtbQYEZeD0eaWlwdmEDgMJCWbjG0WTxL1JvLmDOYXZCrv54pCkeW7asBQB0767uc3rWR4xQ7+1584C8PPlvxHlvlpUBr776B38IIqIYwbBLcWXQIHUc2o+o9+dOmaKOW7QwV66//ro6vvLKURg48Pzg7VtuuRp5ebLqrGFDWbDmWL/enPbQsqVMcHDk58t8XiewuFzynIYN1XPKy2VTAC5ci2+RWhiAyGFXb3mJFHZ37lwDQEbvOcF4xw6p2GZnq6sdgYBUdy0LuPJK9fpJk3hFgYjiG8MuxZUBA1RIWL5cTV4AgFNPVVWu2bNl21/H+SrPYvZsc3TZ5MlPIjExCwCQn78e55xza/Cxzp2BI45Qz503Ty1YA6RdQQ+8BQUSePXL2E2aAM2amZMaNm82z53iS7TKrh46nV5dPQzr7xtA3jAFBRtQVFQBj8fs23XehyecoO778kv5/dxzpX8XkCsZ33zzh34MIqKYwLBLcSUlxdws4ocf1HHTpjKGDJB2gw8/VI+1bWtWd198UR137NgEN930ZPD21KnP4IUXvgreHjLE3MFq6lRpR3CEBt59++S8nLFkgPQOt25t9mfm5krojbQoiWKbHnb1yq3+d+308SYnq/v0CQ6ZmTL02bYDmDNnNQBz4eSSJfK73q/+00/ygSs1FbjkEnX/M6pbh4go7jDsUtzRdzoLrViddZY6fucdM1xcfLG5hfD8+eqx+++/GL16nR68/de/XoqNG6X0alnASSdJhRaQ6tzHH6sJDYAE3v791dcvLjYXygESatq2VaOhnOetX28GY4p9kaYuAObcWyfs6gsZ9Y0oWrRQTbpz58qKtF691OPOZJGWLVUI9vnUfxNXXaWe+/nn0j5DRBSPGHYp7owcqY6dFeiO446TubuAtDHoPbatWgGjR6vbzz2nLiu7XBY+/HASUlKaAgCKi3fgtNOuQCAg6SQhARgzRsafAVK5e/99c4Zuy5bAwIEqxJSVSeDV2xU8HjmPRo3UfT6fbECRm8tNAOJBIKA+ZFmWWc2PRP/wo3/o6dhRjV9YskRWpPXoob7ehg3q/ae/rz/7TH7v0kWN5AsEgGef/X0/BxFRrGDYpbgzeLAKCGvWyC9HYqJMX3CErkS/+GJVSduwQSpejg4dsvHIIy8Fby9ePAV/+ct/grfT06Vy7PRYFhfLaKeiIvU1cnLMjSecndY2b1bPsSxZWNSypTljNTdXQi+nNcS2SIvQqqKHXb2y27t3z+Dx8uXSs5CUZG6bvWiR/K6H3VmzVAi+/np1/0svmV+fiCheMOxS3ElMBIYPV7edSpbj/PNVdXXWLDVqDJDJCOeeq26/9JL0ODquu240jj/+L8Hbzz57Mz788Kfg7caNpcLrhNSCAgm8ekWucWPp83VCdSAgM4FXrDArt2lpQLt24WFn/XrznCi26K0z+ocZQLW5AOq9YFnSYxtqyJA+weONGxcFj/WRd86s6ZYtgd691fd3NlYZPVpaZwCZ3qDPmSYiihcMuxSXTj1VHX/yiflYq1bmRhLPP28+PnasTEcAZPZt6OPvv/8oWrSQVXCBgA8XXzwWa9bsCD7esqXM4HUC9Z49Enj1qllGBjB0qFoRD8gWx/Pnm2HImcebna3uCwSA7duBLVvMKiHFhtC/X51L+xdZn8ygv08cRx/dHS6XrG4rKFiPzZvzAZhhd8ECFZpPPlnd/+mn8rvbDVxzjbr/6afZKkNE8Ydhl+LSySerKtn338vcUd0VV6jjKVPMMWQJCcB116nbX32lFvsAstnEJ5+8h6QkGZBbVLQNo0adhdJStcS+QwdZtOacw+7dsiBOD7zJyVLhdRa2AXIeoZMaAOnhbdvWXMxUVCRVXn2RG9V9kSYuOKJtDRwp7CYlJaBp0x7B21OnShm3Wzd1NWDnTvlQBJjvxzlz1ALKyy5Tz1+8WK52EBHFE4ZdiktNm0rlFJBK1QcfmI/37SuLxQAJFRMnmo8PGgQcfbS6/cQT5ozTfv3a4Kmn3oJlyX9CGzb8iNGjrw0uWANk5qm+6cTu3XKZWN8wwuuVOb3t26v7Cgpk4Zw+zQGQtoe2bYGsLHWf3y8BmVXe2KFXbKsKu/rfZ0ZG5K/VrdvA4PH338uWgR6POepuwQL5vWlTtemKbQNffCHHWVnmnOmnnz6IH4KIKIYw7FLc0heivflm+ONXX62O33nHrO4CUt11Kl7btpmzdwHgyiuPw6WXPhy8PXPmC7jqqseN5/ToYS4Oys0F3nrLrMZaloyG6tNHhZ+KClm4tnJl+Diqpk2lFUOfz1pUBKxbZ05/oLop0ngxR7Td0pwJIqEGDVJh95df1P7Y+rbZ8+ap42i7COpXMj76SBZCEhHFC4Zdiltjx6qeyDlzgNWrzcePPlptpVpZGV7RatTI7Gf88EO1ut3x/PM344gjLtBu34qHHzZX+fToYbZV5OVJ+N6zx/xabdrIphf6XNUVK+TczZ2zZMFSu3ZmCAoEpF1j48bw51PdoYddfUEaYLap6GFX31Jad/zxavu+tWtnB68s6BurLFqk3g8nnqgC9ZIl8gEJAHr2BIYNk+NAIPxKBxFRLGPYpbjVuLG5VerLL5uPWxZw003q9vvvm2PKANl9yrn0CwAPPyyL1hwul4Vp015A27aq5+Guuy7G5MnaAF9IH+Vpp6nL1IWFEni3bjW/X8OGspNb48bqvl27gJkzw7cPdrlklFnr1mZIKi2VsWm7d5uXzKnui7Y1cLSwO2RIt+BW1iUluzB7towWadZMqv/O13E+pGVkmDsF6os39TFkzz/PMWREFD8YdimuXX65On7llfAZtUceKYvEAAmGDz9sPu4EYmeBUG6u9O+aI8ISMXPmx2jUqOv+r1OByy47FV999YvxtTp1As48UwXTsjKZ0rBypfk9ExNlVnCnTuq+sjLgxx+BZcvCA2xKilR5GzVSlULblsrx+vXmnF+qfZHGizn0qr6+NXBqqvmYw+12oXNn9UHrk0/U/thHqKIvflYdDjjtNHU8ZYo5raGN7ECMPXuktYeIKB4w7FJcGz1ajRHbuVP6EUPddpsKIN9+K9MbdA0bAjffrG7PmmX2OwJAmzYNMXXql0hNzQEAVFTswxlnjMJ33y0NeR5wzjmqF9jnk+ra3Lnm17MsoHt3CeN61Xb1apnWEBpgnY0o2raVKQ+OykpZvLZli3lZnGqPHnZDP7jof3ehlVV9/Jxu4MCjgsc//vhj8Fi/IjFnjgq1w4ernf42bZKtsQG56qD3sT/zDMeQEVF8YNiluObxAOPHq9uRVpp37y47nznuvz+8Ajx4sFkRe+45YPly8zn9+rXFhx9+jcTETABAWdkenHTSCMyZs8p4XtOmsvpdn6rw3XfAl1+a46YAGUs2bJjZ1pCfL20N69eHh5HERAnUOTnmyn5nTBlbG2qf/vcSqUrv0Kd2AOaIOt3xxw8JHi9dqj6p9eypNqPYtUv15yYmmlNC9A9ul12mKsgLF8oiSSKiWMewS3FvwgS1KOenn6TKFermm2XHMkBCwaRJ4c+56iqgc2c59vmAe++VXad0xx3XC2+++TW8XimdFRfvxKhRwzFnjrk6LjNTAm/Lluq+334LH00GSPgYPFgWujmr9/1+WWA0e3bk3srMTBlnpi9gc1ob1q3jbN7apE9gCP1wo++UVlJihuGmTSN/vZNPHgCPR0rC+fnr8OuvMljX41Hj9QAzuJ5+ujr+/HM15qxRI3MHwWefPcAPQ0QUAxh2Ke41ayatA47HHw9/TuPGwI03qtv//a8s8tJ5vcA996hLwHv2AP/3f+HtAWPGDMTLL38Bj0fKdEVFWzFy5FDMnPmb8bzkZGDcOKnAObZtA159NXzhmmUBHTvK7GDn+wNSqZ0xI/xcAakg5uSEtzb4fPJ9Nm40+0KpZui7poXORna71d+VbZsffJx2nFDJyQlo335w8PZ7780MHg9Wd+Mntas1Dj9c3huATAf5TltPqU8gef/98HnPRESxhmGX6gW95/bjj4GlS8Ofc+GFKnhWVAC33x5+mTknB7j7btV3uXy5hOfQdoLzzx+C55//NFhxKy7egRNPPAaffTbfeJ7bLZeUhw1TX7O4WCq8CxeGn6Ozml5fvObzyc5XP/4YXhUGpDLcpo2EJT1oOVMbtm/nhhQ1SZ+lG9ouA5gfZvQKfFaW2b+tz1Q+8shhwePp06cHjw8/XLVNrFolH44AqS6HLlRz9OunFrdVVITPlyYiijUMu1Qv9OypBurbtvTlhnK7gYceUuFg3jzgtdfCn9evn7Q0OGbMiPy8Sy4Zjpdf/irY0lBWthdnnjk8bCwZIJsAjB2r+iUDAeCbb2TxWmjl2OWSPuOjjzYve+fmygK7NWsiLyzKyJDWhoYNzUVSBQXS2pCby37emuB2q1aGQCD8g4a+W5oeaC0LaNFC3dar/2PGjAweL1kyLThvNy0N6NVLPU9vZdDD7jffmB+U9Oru88+Ht1sQEcUShl2qN/7+d3X8/vtSDQ3VvbsZZB99NHz2LgCMGSOjmhyvvy69j6EuuGAo3n33m+As1IqKQlx00XF45JF3w57bpg1w8cXq8jIgY8lefVU2iwjVsKFUhDt2VOHV75eq9XffRd5NzeWShU7t2qkeZUBCV26uhN6CgvDX0aEVbfMIwOyzDv071MPuli3qePToAcGFkcXF2zBjxrLgY0PU+jVowxrQpYv8AqSd5euv1WNnnin9u4C0u0ydWuWPQ0RUpzHsUr0xYIAKqLYN3HVX5Oddfz3QVUbmorwc+Otfw3cksyzZYlXfqeqpp2QsWKjTTz8cn376XXAsWSBQgdtvPxtXXfU47JASbIMGskCoTx91X34+MHmyjCcLrdi63bJwbehQNQsYkMD63XeyiC3SpfKEBFkc16qVuZGBzydtDRs2cFOB6qT/mYf2TetTOvLzzb9zZ6MIANi8WR17PG706DE8ePudd1Ry1ft2Fy0yx9ZFa2VISgIuuUTdfu65iD8GEVFMYNileuWBB1QV9MsvpQUhlNcL/Otfqvq2fLm0N4TyeGTBmjOhwbbl68+bF/7cUaMOw3ff/YRGjboE75s48RaMGnUNysvNNOrxAKNGAaeeqs4hEJDw+s47kScpZGYCxxwjlWl9tf/69XKJWq8C6pxth3NyzH7esjKp6G3dGjks058TbfMIQBaoOY/7fObft75ILS/P3M3v+OPVPLGZM9Vlhuxs9R71+82Zzqeeqo5/+sncwlof2ffFF+GLJomIYgXDLtUrPXvKQjTH3/4WeXFW587AnXeq26+/Dnz2WfjzkpMlCDsjxHw+mdDgDOrX9e/fDgsW/GRsLfzNN8+hZ8/jsWlTbtjzu3SRtgY94GzeLDvBLVsW9nS4XLJwbfhwcyZreTmwYIFcwtbDkc4ZVabvwgbI89et43zeQ02fjlFSEv6400IAmNtE6zN6AflA4rj4YhV21637ATt2qJR8lNp3ArNmqeNmzeSKByB/v198oR7r1Ek+QDmPRepLJyKKBQy7VO/8859qYdevvwITJ0Z+3gUXACecoG7fcYesaA+VkSG9vc4c1IoK6Q+ONE2hTZuGWLJkKgYOVMNM16z5Fr16HY7p05eEPT8zEzjvPFkd74TQ8nLpD/7448jTF1JTZee1AQPMCqKzgG3p0sgB3+WSKmD79mZLhDOfd+3ayH3A9PslJqoKvM8X3rerbyLiTFCIZP16ddylSws0a9YHABAIVOLVV1Wjrd63O3eu+f2chZsA8Omn5tfXq7svvcQPPEQUmxh2qd5p0UKCq+Pvf5c+1VCWBTz8sMypBaQCN2FC5MDXpImMIHO2dC0vl57gn38Of256ehJmz56MCy74Z/C+goINOPHEI/CPf7we9nyXSyYvnHuuuXhp9WoJIJGqvM7POWIE0KGDCsq2LQvuqmpt8HqB5s1lwZxegfT7ZaEc+3n/PMuqerc0fWvgqqZkbNhg9vQOHaqS6yeffBI8bt1aLW4rKzOvPIwerSrGCxaY/y2ccYZ6z61bZ1aFiYhiBcMu1Ut/+5vqY9y3D/jLXyI/Lz1dFuc4wWTzZhnLFKmPtVkzM/BWVkpLw3fhk8bgcll4/fW78OSTU4KjyXy+Uvzf/12EkSOvQlFR+G4PLVpIW4O+eK2sTKq8H3wQuUXB45HWjWOPNS+Nl5VJsJk1K/r0heRkCbzNm0fu5922jfN5/wx9Goa+aAyQ6rxz9cHvN3tpdWVl5qSO885TTbiLFn0Nv19SsmWZrQz6VIaGDeVKgOPLL9VxUhJw9tnq9quvVvUTERHVTQy7VC8lJppboX74oYwji6RTJ+DJJ9Xtn3+WynCkWbYtWsjiNmd8mM8nbRNakc1w442nYurUOWjUqGvwvm++mYguXY7CnDnhPRMJCbJ4bdw4s9Vg3Tqp8i5cGPm8GjSQS9n9+5utDXv2ADNnyhi20Evp+mvbt5dL63o/77598n337o38PalqoVsDh86y1bcHjjR6zrFunTo+6aR+SE5uvP9r7sKXXy4KPqaH3dmzzb+z0aPVsd63C8gHLMcHH0TuMSYiqssYdqneOvZY4NJL1e1rrwV27oz83FGjzF3YPvoIeOKJyM/NyZHA64yJsm3gP/+RnagihcJjj+2OZcvmon//ccH7tm1biKFD++Huu18OG08GSMX10kuBvn3VfRUV0p4weXL0LV5btpTWBn02LyCXw6dPlx7QSOfocknYbd/e3OErEJDvxdaG38/rVR88bDu8uqvPW47UZuNYu1Ydu90u9O59XPD222+r5Nqtm9qwIi8PWLFCve6441Qrwy+/mOF64EA1j7ewMLyvl4iormPYpXrt8cfVJIXcXODyy6NXKa+6yryk++yz0bdSzc6Wubvduqn73npLRpOFzuwFgCZN0jF37tu47rqn4XLJvLHKymL885+XYeDAc7B1a17YaxISgJEjZQGb3qKwfbusnJ8xI3K11uOR2byhUxsqK2Uu78yZ0S+be71SvW7d2pwVW14urQ07dnAR0+8ROhtZ16iR2lq4tDT8cWeB286dZgvLySefFDz+/vsvjOc72wAD5m5qWVnmY9OmqWPLkveY4623qvqJiIjqHoZdqtcyM83A+uWXwH//G/m5lgX84x+ya5njwQeBt9+O/PyMDOCxx4BBg9R9M2dKhXjv3vDnu1wWnn76OnzyyRxjHu/8+e+ia9eemDjxy/AXQfXyHnWUqs7ZtvTkvviiWcHTpaVJr+agQeYl9X37pJd3wYLwGbCOlBRZuNekiTnXNz9fLqtHmhJB4fSwW1Ji9oK7XGZ1d9s287X6BhN6dfeSS46HZclfyubNc7BmjZpdpvfmzpljfr3jVEE4bMc0/UPeV19xKgcRxRaGXar3Ro4EbrxR3b7lFnPwvs7jAZ5+Ws0mBWSaw3vvRX5+UpIEZH2nquXLpUq8fHnk15x0Ul+sXLkAxxyj5j4VFW3DVVeNxrHHXoGdO8NXlLndslPWpZdKi4N6nVx2fued6NXanByp8nbrZs5x3bJF2iLWrIlcrbUsWdwUuvWwzycL+VjlPTCPx/ygEVq9bd5cHYdu6tCxozrWt7Ru0aIR2rRxyrQ2Xn31q+Bj/furavG6dWbbzqhR6vjnn81z6dRJXgtIII/Wg05EVBcx7BJB2gv69ZPjykpZABZtvmlyMvDCCzLlAJAq6h13AO++G/n5brdsLXzddapPdu9eCdiffhq5baJRo1TMnDkJjz/+IZKT1Ryq7757EZ069cQzz0TY4QJyOXrcONkWWQ9RmzbJZhQzZ0ZubXC5ZDrFiBFqRBUgwXXpUnmdvrmBzuuVVpDmzc2wnJ8vPcDs5a2a00cLhG8P3KSJmoRRXGxWVDt0UMebNpl/r8OGqVaGL79U75XkZKB3b/U8/UNd06bqMb8/fIrI2LHq+IMPqv6ZiIjqEoZdIkj/6bvvqpmimzfLpdtoW+Wmp8sYpu7d5bYTeF95JfLzLQs4/XTgkUfUAi+fD/j3v2WWb7RAeNNNZ+C335aiXz+VNAoLt+C6607BoEHnYt26yCvRunWT/uP+/VXADgRkK+MXXgB++y1yyE5Olqr1UUeZC9EKC2Vc1cKFkXuOATW1QX9dZaX08karKpP8eTmB1uczF6q5XOYOenp1NyND9Vz7/eYGExdeeHLw+Ndfv0JpqXoj6201oVtbjxihjr/91nzsjDPU8bRp4QvqiIjqKoZdov3atZNtgZ1w+N13wPXXR1+wlpkpz+/RQ913//0SYKO9pl8/WdimV+W++Qa4+mqz71LXvn025s9/Fw888I5R5Z079210794Vt9/+QnCeqi4xUdoTLr5YLcIDpEL45ZfAm29GH2nVuLFMq+jRw5yxu3mzLHzbtCny69xuqQyHVnl375bXho7XInm/6dXdvJC1iHqlPXQjkGitDMcccxgaNJCm3oqKArz77k/BxwYOVM/75RdzVrLej/799+bfV8eOwGGHyXF5eXhfLxFRXcWwS6QZPVoCq+P556OPGAMk8L7xhmqBAGTM2F13Rd9wISdHnnPiieq+LVtk9Nn770cOypYF3HnnOCxbthxHHHFh8P7y8jw88sh4dOhwNKZP/zXi98vOlt3XTj7Z7K3dtk3C+ldfRV5Q5nJJwBkxwuwdraiQkPTjj9EXojVoIAvY9B3YiotlRFm0ynB9pu+MV1Ji/hk1aaImX4QuGNTD7rp1qkfa5bIwcKBqZfjww8+Dx82bq4VvpaVS5Xd066Y2RcnPl+20daeqPSs4goyIYka1hl3Lss6yLGuaZVl5+38tsCzrrOr8nkR/1u23Szh03HZb1eOWGjSQloahQ9V977wDjB8f/VJvYiJw003ytZ1Zqz6f7NZ2663R5+S2bdsIs2e/huee+wqZme2C92/c+BOOO64vTjrpxogL2ADV2jBokFl1/fVXaW2YPz/ygrKkJODww2Ulv77FbW6uXOpeuzZyQPd6ZUSZPhbNaWvgJXCT12u2f+jTOizL/LCha9pUva6sTKrnjtNPV2H3p59U365lyd+nQ9862LLM93Ho9sAnqS+JqVO5mQgRxYZqC7uWZU0E8B6AhgCmA9gLoB+A9yzLeqS6vi/Rn2VZEv70/+lfckn4zlK6lBRg0iSzr/H774Ezz4x+yR+QFfDPPae2LgYkfFxxhbQaRAsTV155PNat+w1jxtwJl0uW19u2H1988RTat++Mu+56OWJrQ0KC/FyXXmq2UlRUSHB95RWpvkbSpIm0RegbUvj9UhmMVuW1LKkUtmihRpQFAlLJjrZNcX3VsKE63rfPvDKgjxkL1amTOtZbGc47bzjcbikJ5+Yux9KlquFXvxKxcKH59fSd1n76yXxswAB1njt2yFxmIqK6rjoru+MAjLJtu79t22Nt2+4A4Lb9j91qWVZmNX5voj8lKUm2EHb6cX0+4KyzpF81Gq9X5upef726b80aWZj2ww/RX9eypbQ1nHuuCpElJdI+cfvt0ftqs7JS8MEHD2DGjMXo0OHY4P0lJbvw4IOXoW3bI/DBB7OjvBYYM0Z+pqwsdf+ePTJGbcoUCVyh3G75Mxk61JwR62w7HC3Yp6fLSDRn7BUgm19EmjdcXyUnq7YP2zZ7d7OyzOkaOv1Di973nZWVgnbtBgdvv/OOWnHWp496r61caW4BrM/i/eUXs6XC7ZZRfY5vvjnAD0VEVAdUZ9hdZ9v2dP0O27YfBeDUEUaGv4So7sjKkupq27Zyu7xc5uXOnBn9NZYF/PWvsjNbgmyEhoICqaQ+80z0ubMej7QYPPWUuSBpwQK5/733oi/uOuaYbli1agYeeOAdpKerlWhbtszDWWcNxpFHXoDfftsS8bXt2sm5HXusOl8AWLVKNqSYPTty73FmJnDMMbKNrBOafD4JR/PnR55ikZgogddp2wCkXYOBV9Gru/n55vslWnW3VSvzvaaPiBs8eHjw+FttvEJ6ukzOAOR7LF2qXtOkibwvAKn4L1pkfj99Hu/06SAiqvOqM+yOj3L//Gr8nkSHVIsW8j90J4CWlEjf4oFWop9xhuys1rSp3LZt4MknJbhWFe569JB2iLPOUiGyvByYOBG45proG1G4XBbuvHMcNmxYgbPOuit4+RoA5syZjL59O+Occ+7Bnj3hzbJut/RwXnGFOVnC55OezZdfNsdaqe8JdO0qVV594dvWrfKBIFKbgscjfbz6wrVdu7gjlyM9XVW//X7zz0WfqAGoubputwqngNnKcNppKuwuWfKN0RbTqxe0x8yvrY8nmx/yL/axx6rjn37ihA0iqvuqLezatr0wykNO7SLa40R1Srt2crnWCbxlZVLhPdBg/d69pR1AH/X0/fcSlqtqa0hMlB3W/vMfVVUG5BL1X/4i7Q3RwmHDhql4771/Ys6c5ejb98zg/T5fKd555360adMJt9/+AiorwxNKaqpMozjvPDW/FZDv9f77smtWpIVlmZkSgPRzLSmRnzVSW4PLJdVIfbHbjh0yy5fMBX15eapvOzXVbDnRZ+7qrQz6B5OTTjocXq/0P+zbtxELF6q/EGeMGAAsW2aeg7NbGiBXF3Tt2qkFc4WF4RMbiIjqmtoYPXYWgPdt214X7QmWZU2wLGu+ZVnzd0fbxoqoBnXqJAu4WreW2xUVsunEs89W/brsbBlNdtVV6r5du2TB2z/+ET5KStetmyxeu+IKNXrKtqW14uKLJWxHG282YEA7LFz4Pl577Vvk5PQJ3l9cvAOPPDIeLVv2wfPPfx3xtS1aABddJL2ZiapAjJUrpbXhl1/CF8653RLuDz9czeUNBOS5S5aEt2+4XFKp1Cu827ZV/edRX2RkqGkZlZXmhwC9lUEPu3pld+tW1WebmOhF+/aqCffjj9WnLGdDFABYscKs0Pbtq44XLzb/vi1LtqZ2zI7cFk5EVGfUaNjdP4VhnW3bY6t6nm3bk2zbHmDb9oBsZ+gjUS3r0EE2mnAmJ9i2bAF8223Re3EBCS633CLtAHpP5quvAqecYo5+CuXxAOecIyFTXzhUXCxBe/x4CRvRpjZceOGx2LRpPu6882Wkpan5Vbt2/YYJE05At24nRJzPa1kSeC6/3GxtqKiQto633oq8K1rz5lLl1RevrV8PzJkT3sfrBF6n39S2ZUpDfb8sbllmBVdve9FHkO3Zo3beS0kxW2Y2blTPGzjw6ODx99+rPYAbN5ZfgIRjvQrfpo0aaZafLx9EdEccoY5Dd2EjIqprqgy7lmX12z8r96B+HeBrnQVgAoBRVT2PqC5r3Vouz+utCY8/LiPGDnQZfuhQqcrqu1StWweMHQs88IC5Ij5UTo5sdvHAA+YCts2bgbvvljC9alXk13q9bjzwwCXYuHEVzjvvvuBlbQBYseJrHHdcHxxzzOVYtmxr2Gud1oZzzjGD+tatEtbnzAkP+qmp8rPqwWz3bun/Da3cut0SeJ1Kps8XHqzqo6ws1bNdVqZCrV5pB8w/K726q4+PO/54FXaXLzfLsF27quOVK9Wxy2V+yNE3ngDMOb2hPb1ERHXNgSq7d0Bm5R7Ur2jjxCzLag/geQAjqmpfIIoF2dlS3Tz5ZHXfJ58AQ4aYi4MiadxYdmV74AHVs2rbwEsvASecIK0SVRk0SGYAT5hg9rwuWiQL2B58MHpYbNgwFZMn34Nff12DY44ZD8ty7f/+AXz//Uvo3bsTzjnnHuTmhqf2Vq2kdeLII9W8XL9feo/ffDN80Z2z6E0PU/v2yfND5/EmJJjBuLiYExrcbrM6Hu3PQ29l0Hum9cruSScdHvy73r17KXbsUH+/0Wb0Amabgx6EARld5lixgrviEVHdVmXY3T8f1/odv/JDv8b+ADwNwNgqFq0RxZTUVJnD+7e/qft++00qvlOmVP1ay5JK6VdfAUerohu2bpX+3CuvNHfCCuX1AuPGAa+9Jtu3urT/imfMkFFi//539IDUpUsOZs6chGnTFqNbN7Vnsb6I7dZbnw9bxObxSKC/6CK13Swg83JffTV8cwL5XrKBgT4/+Icfwqvgqanmwqzdu9W0gfpKr6QXFkbuz87LU9Xy5s1Vv3R+vvozzsxMQ9OmPfe/wsaXX6pSrL7dcGjY7dJFHYeG3bQ0tSjO748+JYSIqC6oiZ7dbwDcFjpzlyjWud2yicTLL6vLywUFslnD3/524GpXixby2scfl4kGjunTgeOPl5m7VbU2ZGbKdIYXXzR3vfL7gU8/BS64QMaYRdupbMSInli27Au88MI0YxFbSclOPPbYBLRq1Rcvvxy+a0B2NnD++dKq4ARtn08mVnzwQfg5t2olPZ5Oq0J5uey4FjrZoXFjNYPXtiVE12eJiWb1PtoEDufPye02W1y2aKOVu3VTs8R++EE12eqtDxs3mr3fetVX36xCfU11HBqGiYjqkmoNu5ZlTQPwkG3b71fn9yGqTRddJH28bdqo+/79b1mxrg/rj8SyZCbv9OnSu+soLweeflomIrz/ftWLtlq1Au67T76nPk6qogJ4910JvS+9FL2n+PLLR2LTpvm4665XkJam0tLOnb/isstGolev0zBnzmrjNS6XtFRcdJGEX8e6dbLlcGhlukkTaYEIDbx6MLYsoFkzVQUuLeWWwvqHoPz8yAsR9R329Fm8+t9B//5qf+DfflscPM7OVhMxCgvNQB0ahEN7s6uq/BIR1SXVFnb3B92RAO6wLGtBlF/tq+v7E9WkAQNkoY7ex7tokfStPvXUgScMZGUBDz8swbZnT3X/zp0y7eGUU6SfN9rUBUAWFD35JPDQQ2ZVrrRU+mrPP1+CaKTQ6/W68c9/XoxNm1bhggvuNxax/frrJzjqqB447bRbsGuXuYdwdjZw4YXy8zuKi4F33gF+/tn8Ho0amYG3rEw2JdDbFRITzcv3u3dXPeki3qWnq9YEny+83xmQHdOcFgc97Oq920ce2Tt4vGGDCruWZVaD9dc0aKDCdkWF/F3o9PdYpE1HiIjqimoJu/tHjDnbAfer4ldmdXx/otrQsCHw8ccSbp22hvJy4KabZBzXwfQ19u0rvcAPPWRWTFeulH7es8+WCQjRWJYE7P/9D/i//wvf6OGNNyT0vvyyLBgLlZWVgtdf/zsWL16Fo466JHh/IFCJTz55HO3adcbdd78Kv18lULdbJkycdZa56O7776V/WQ+zjRpJS4PT/lBcLKFYD7SNGpkBLy+v6j+zeGZZMnfXoVe6nQVsgYDaIjgnR1XG9b7nY45Rn6Byc1egqEj12EQLuwd6TH9v6dMfiIjqmmoJu7Zt33aQC9q4YI3iimUB118vs0f1Fes//SRB9t57D7xxgtstC9BmzJCeXL1vc8ECCavnnQfMnVv1eRx9tEx+uOsuczOCkhJg8mT5Oi++GLlVoFu35pg162V88sk8tG17lPbanfjnPy9Bx47HYMYMcx5Vu3YysUEPSKtWyffSv0fjxuYOXXv3mrOGXS41/xWQebL1efauHnb1Pmd9lzun6pqQEL7QDwAaNUpHRob02di2HwsWqCZcfbHhrl3m927WTB3r7RJA9A0uiIjqmtrYQY0o7vXoIZs93HOPqlJWVsqs3F69gM8+O/DXSEkBbrhBQu+FF6qvA0g19NxzZarD999Hb2+wLKm6vvgicOedZkApLZXNIc4/XxayRaqgnnLKAKxd+wPuu2+ysSnFhg2zMGpUX5xxxu3Iy1ONt2lpck79VIsocnOloqxXBps3N9s1tmwxpwFkZKjNJgKB6Iuz6oOEBNVXq/8965V/vcXA2VwCkDYYdb/qO1i8WIVd/euEht1IgdqhB+Ht26tusSEiqk0Mu0TVJCFBWgnmz5fFXI61a4HTTpPNGpYtO/DXyc6WivA330jF1+l5BaSCfOml8vW++CJ6BdTlAoYPl9D797+bi+nKytRCtmefDR9Z5nJZuOee87Bhw0qcccbtcLkkdQcCPnz88SNo374nXnxxuvG9RowATjxRnWtJifTx6oG2QwfzUviyZWpXNssyK5R799bv3l195q6jUSPVDlJYqKZ/6AHVaW8AgBYt1BKJlSvVuHO9ih76d6//HYTumNeggfpAUlKiNr4gIqprGHaJqtlhh8ls2WeeMVfXf/010Lu3zNU9mMvALVtKL+8338jkBj30Ll0q7RMjR8r83Wgjy1wu6R9+4QXZeU1fcV9eLqPDLrhAzlUPSgDQqFEaPvzwIUyfvgjt2qkBwfn563HFFaNw9NGXYetWVR7u2VPCuVOV9Pmkp1nfjeuww9SCNNuWDwZOn2mDBjJTGJAQH6nHuL5wtu7Vud3m+8kJqnpA1f8OW7dWn3C2bFFvOL1NIrSCrj8W+ucfuq1xfe6tJqK6jWGXqAa43cBVV8luUxMmqIpcICDBs3Nn2fI39FJxJK1ayeSGmTNl9Je+heymTTKGbMgQ4NFHw/ssHZYFHHOMtC/cd5+5uUBFBfDRR9I68d//hlf0hg3rgTVrvsMdd7yIxESVdmbNehldunTHf/+rejRatpQ2CSeU2bZsmexsQOFyySQHp0JYViZTLJxzZJgSHo/60KDTJ1c4fz7RKrUtW6rm3F271BujqkCrh+xIUzyqei0RUV3BsEtUg7KzpVVg/ny51O8oK5OxYR06yKgxvdcymubNpU3ihx+Aa68NX7U/caJs/PCXv8j3i9RTaVmyIcWzz0o/cefO6rHKSqnEXnCBTHfQg5PLZeHBBy/Dr78uQ79+ZwXvLy7egeuvPwXDhk3Anj2ymiorSxbU6ZfXv/lGzgmQENe3r3ps+3YJ7YCEZOeDQXl51ZtsxLtI1d3QObyA9E07Vf/SUtXeoIfdvDz1BtMXQIa2IjibfACRd7TTH+eWwURUVzHsEtWC3r2ljeHrr83JBMXFsqNa+/YSYNeti/41HI0ayY5ts2ZJ+G3dWj3m9wOffy4jy045RfpmI/VWWpbMwH3mGeCBB4CuXdVjlZUyDu2CCyRA65MVOnXKwYIF7+HJJz9CSopaGTVz5vPo1KkPpkyRkRGpqbJwrbla44Zvv5XpEoBMBNBbKn77Tc7T5TL7VevzQrXU1PD79LDr/L1EG1fWsqX6tLFvn7qEoFeMQ98bTsUdiBxm9asKDLtEVFcx7BLVEsuSHtuff5ZeWX33s7Iy4LnnZJeqceNkt7EDrXZPSZG2hun/396dh1dVXnsc/71JgABhCuA8ooBFRCVRrDiBKI51xDrWOkVt1TpUUK916FURqlatFkHqcKlcK1KrF0VlVERFkrSCiiBhUESQISFBSDhJ9v1jZZ+9TwiTkpycne/neXg4OeMOGfidtde73skWSsOL4iSb83vXXbaz24MP1h2knbPH/eUv0kMPJe6StWmTNG6ctTfU7gu+5Zaz9fnnnyVUeYuLi3TuucfoN795QtXVnlq0sF7j8MYHU6dKc+bY5YMPDgJdLBZcHw50ZWVNdwxZixaJEznKy+1r7ldxN20KAme4CuxvRNGxY1b8uoqKYHeK8HPW/rf1Z/YCQCoj7AJJ5px09tnWxzp+fOJuZNXVdt1xx1kIfeGFbZ/KT0+3ED12rI04++UvE083l5ba9sEnnWTV2rfeCnbgCh/TkUdaz+6DDybulrVhg4XdSy+1Y4vF7Pr99uuk2bNf0b33jlHz5m1rjj+mESNu1uGHn6Nvvy1W8+bSeeclzuJ95x3bNCM9PbGdYcUKG1eWmRkcv+c17d7QcMvBhg32daqrrzYryLXx2bzt2wel4YqKYGBveKFj7bC7rTdY4dsJxgAaK8Iu0EikpVno/fhjadIkC6xhBQXSVVdZm8Ktt27f2LKf/cwqtB9+aFXdcIuDZLOAb7zRFrQ99tjmUyH8Su9f/2rjz8Ijy0pLrdf3iiuk996z4JOW5nTffZdq5sx/a889g9Q+Z87rOuSQIzRlyufxwBueB/vmm9I331hLRngc2dy5FsTrOl3fFIVbDvzNScLB1q/i1nW/du2CsBuLBZXd8Ei3tFr/I4RbE8ItC7WfW0p8QwUAjQlhF2hknLOZuO+8YzuLXXFFYpAoLpaeeMLaHo4+2iYqbKuXtV07C8pTpthWwQMGJAabVausX/f446Urr7RWiHCVzzkLxM8+awvowkF1xQpb3HbTTcGWyLm5XTR//gc67bTfhY67SKeeepQeeeRf8ZYGf5pAVZVNgFizRurRIwhW5eVW9W3TJqgclpfXvViqKairv7Z2tVdKDKZ+IE1Pr7v0Gq7qh6u84cdKdYfZ8FmGuqZFAEBjQNgFGrFevWw02ddfS8OG2cK1sFmzpOuvt4VfF15obQtbC4JpadYSMXKkTXG46abEKQmeZ1Xaa6+14Pv004nj0NLSrP3hhRfsdcOn0OfNsyrxsGE2uaF16xZ6883HNXz4q2rWzKqKsdh63X77Obr44vvVooWnQYOCPt2KCunVV60t4uCDg+ctKrJgF65gNtXqbjjExmJWla2riuvPJ5aCMFtVFZRwnUvf7DG1n19K/HeuaxpEeBxcuPoOAI0JYRdIAR07Sr//vVU5337b2gDCgaaiwhaPnXWWBd+8PKvO1u7FDdttN9uO2N/w4thjE2//7jtrbejb10LsrFlBj2azZnYM//M/toAuvMhp0iTp8sttV7bKSun228/T229/pPbtg6T+v/97n44++jKlpVXo/PODVf+lpVbh3X33YHMEz7PpDMx03bwvdtOmuici1NWHG4sFYTctVNYPV2drT3wInzEIzzz2n9e/vfZMZABoTAi7QArxK6uvvCItWyY9/rjUu3fifYqLbVvggQNt8sF111n7gr+QrLaMDOmUU6xaO326VXXDwaWqyhaxXXyxbQE8dmwQkNq0sWD9/PPW5uDbuNHaK667znZ369//EM2dO1vdugWNyLNmvaRevU5WRcVanXlm8Njlyy2o9+wZXLdypfWj+iEuFmvaM3d9sVjieDD/axxuUfF7couLg0VpGRlB78PWqrfhqn54ZzbJ2lf8Nz+dOiW+4QGAxoSwC6SoTp2s4jp7tvTpp9LgwZsvQFu1yvpsTz7ZKr6//rX0+utbDop7723P8+GHVtUNT4aQpK++sm2G/fFl/uYPu+9uC9iGD09cxLZkiVWPH39c6tAhW3PnTtSJJ14bv33x4vd1+OFHq7R0qfr1Cx43d660eHHi5/PFF4mtDE21uhsWiyWGTL+SX9eis5Urg56DVq2CdzPhVoTwjmySVfd9u++eeJv/tZfs+wYAGivCLhABPXtKQ4fa7NwZMywE1w4na9dKY8ZI555rfbrnniu9+KK0evXmz9e8ubVE/OMfVtW95JLEhVBlZTa+rH9/qwT7O7T17m39wNdem7igacIEW/hWWJihSZNG6Oqrh8VvW7Nmvo477hht2PBlQq/u1Km2oYRfzS0tTQy4paXbHo0VdZWVdbcshBcX+mF3xYog1bZuHYTdrVVvw4E2vCGIZG9GfLXfZAFAY0LYBSLEOau6Pv64BZXp0y34hjdykKzN4PXXLYDuvrstWhs+3KqntQNk9+7SH/9o1d4//CFxNJjnWcvBL39pPbxvvWXHMGiQheGjjgruu2aNdPfd0vDhTn/+82A99NA/lJZm5+DLypbplFOOVSxWEJ/0UF0tvftu4kzeJUuC8FZdHcyQbaq2tMFGeJGi39O7dGlQpm3fvlP88vLlwX3Db5A2bQpG0TmXWLGXpC+/DC6Hd9wDgMaGsAtEVFqaLTp7/HELiR9/LN1xh83eDauuth3a7rzTxpl17y7ddptNZQgvcGvTxtogJk2yHt3jjkt8nk8/tWA9YID08su2Ov+//9sCcnil/qRJ0tVXS6eccoGeffbN+KSGjRtXa9CgfqqsnBGfMLB+vYUqvy+1vNwq1L6mOpXBt6WwW9eEhaKiJfHr9thjv/jlb74J7hsOu0VFQTvEXnttPqnhs8+Cy4RdAI0ZYRdoApyTjjjC+mw/+8zGhA0bZlXg2iv8i4osIPfvbxMbLrvMFsT5wdIfX/b88zYL+IILEidDfP219F//JZ1wgi16O/LIoOXBt3q1dPvtUiw2QC+9NFktWthp9VisTNddd6pisffj9122LLHHeOXKoHK5fv3WJ05EneclBl6/f/eHYM+I+ISFJUuCvoMuXfaPXw63I+wfXK3PPw8u136DJNkMaN9hh+3AQQNAAyPsAk1Qt242ymzGDFuE9Pzz1sMbXgAm2eKlsWOliy6yjSQGDrRd0/xT3wceaL3CH3wg/fa3iePBVq6UHnjA5vWOG2e7vt13X+J9xo2TJk8+Si+88L5at95Nku3uNXjwqVq3blr8fkVFiQEufOq9qS9UC0/Z8MOuv22wFITdr7+eH7/uoIMs1ZaUWHuJZNXzcF/up58Gl8OTMSSbxOD382ZmUtkF0LgRdoEmrnNn6Ve/suD5/ffWd3v99Zv3+cZi1p97ww22+v6YY6RHH7VFcZ06WZj94ANrlegUtIRqzRrbsrh/fztlPmKEVZl9RUXS3//eUw88MC0eeCsrN2jYsNO1aNFkSVZ9Xro0OD1fXByE323tHhdlziX25/rtHrU3e4jFKrVsWVCKPeGEwyQlbjndtWviYrfZs4PLOTmJr/vBB8HlI45IrOwDQGND2AUQ16KFVW+fesr6fGfPlu69d/NZvpL00Uc2pqxrVws8w4ZZxe+aa6zf9777rA3Ct3KlLVC74AJrn/jNb4KQVF4uTZhwkH796+nKyrLyYmXlRo0e/Qt9/vkMSVa1nD/f+kgzM6WFC+2xmzY13Zm7zm3en1teHmwlnJFhvdYzZ85TZaX9I2Vl7amDDrLm3HCrQo8eweU1a2zMnP8chx6a+LrTgqL7Zr3bANDYEHYB1Mk5C7n33GOhd8kS6cknpX79EiuAklRYKN11lwXfvn1ttu9JJ1kouvdeqx77vvlGuvlmG4OWl5c4beHLL7trwID3lJVlg1srKzfqpZdO05w5H4XuY33D5eXBKfhwJbMpSU9PnEjRqpW9qfB17Ghfx4kTP45ft//+ufE+7YKC4L6HHBJcfu+94HLv3olbEnue7eLnO/HEn/hJAEA9I+wC2C577219uZMnW8/s6NHS6acn7uAl2dSHm2+2+591llVv33pLGjIksV93zhzrG27WLPE0eVnZgTr88CnKzLQZZJWV6/XyywP12Wez1LKltVqsXGm9qF99ZZXesrIt7xAXZenpib3MWVlWXff5lfWpU9+NX9enj211t3ZtUB1PT09cZDZlSnD5+OMTX/OLL+yNj2RV46OP/mmfAwDUN8IugB3WqZN0xRXSG29YuHrxRem00xJ38/Ln5F56qS1kmzNHeuIJ23AiHJCnTbOZv/vuG0yGaN68q3r0mKrmza0kXFlZprFjB2rBgk+1yy42CaCqyiYxLFtmj2mK1d1mzTbf7rf2KLFYrFJz506KXzdo0KmSbNycr2fPYNOQDRtsPrNvQLDDsyTr7fYNHEi/LoDGj7AL4Cdp184C7f/9n1V8R4zYvI9z3Tq7/oQTLCxdeaV06qnB7bGYBay1a4NRYh069NDBB09VRoatdqusXKcXXzxZX389T23bSp98YgFt0SKposIWqm1p7mxUVVba5y7ZG42WLYONICSrro8f/6EqKiwRZ2XtpQEDrDn3/WC6m449Nrg8eXLQB9ytm71R8Xme7arnu+CCnfnZAED9IOwC2Gk6drQ+3GnTLIT+8Y/SAQck3qew0CY2vPSSnQIP315SYqfIV6ywEJed3VM9e05WWpr1P8Ri3+u55/pr/foFKiuzGbHO2en46uroV3dr724XHjHWoYNVuf3pDO3a2SSGv/1tbPw+ubmnKS3NaeVK6T//seucs8kavldeCS6fcUbi682cKS1YYJfbtEl8wwIAjRVhF0C92Hdf21xi/nzrAb344sRduEpLbYbvlClSdnbQApGebqfSFy60KmV29qE6+OCJcs6GAG/atEKjR/eXtEhffWULtFassMVqxcXBrl9RFB4z1qxZYrjv3DmYoCBZRXbjxgrNmBGUYq+88hJJthmIH5xzcoJRcYsX25QNyRYBnnde4us/+2xw+cILg9YHAGjMCLsA6pVz1r4wZoxVHh991KY2hBUWWlArL7eg65wFqZISae5cqXXrn6tHj7fknKWrTZu+1ZgxAxSLfaPPP7dRW19+adXg8HbCURNejNa8eeJitOxs+zfwde0qPfXU/6miokSS1LbtfrroomMUi1nLie+UU4LLzz0XXO7XL3F03PLliS0MV1/90z4XAGgohF0ADSY72yY1fPGF9Oab0sknB7c5Z+Ft5UqbuFBWZoG3RQvb4njTpmPVvfsESZmSpPLyxXrttX4qKflG8+fb/YuKEvt+oyYcdsvLgwkULVtaZdufr9umjW0KMmLEE/H7Dxx4qTIy0jR1alAR7tgxaGFYs0YaPz54/iuvTHztv/wleL2+faXc3J34iQFAPSLsAmhwaWlWUZw40TY2uOaaoMXBOQt1q1fbZIGKCgtlK1ZI33/fT/vsM06SjQDYuLFIEyf20/ffW4X366+lVavsT9RUVSVunuHPGJZsm9/CwuDjnj2lV1/9QIsX21ZnaWnNdM8916qqylpHfGefHbSPjBgRLHbr2VPq0ye436pV0tNPBx/feuvO+ZwAoCEQdgEk1UEHSc88YwvaBg+W2ra1wOucVWhXrbJT6JmZ1me6atUZ6tRpvPzAW15epHfeOVErVnyrBQukefPsMeGdxaKgrCxxgVo40GdmBiPHnLMdz+6776H47T//+aXq2XMvTZoUTGvIypJ+8Qu7/N13tmDQd+ONwRg4SRo+PKgq9+wZPA4AUgFhF0CjsNtu0tChNo3hgQeC3b/CobeszBZm/fDDmWrZMgi8FRVf6d13j9O8eYu1YIFVi5cv33x6QSorKUn82F+I16GD9TX7uneXXn99qr74YmLNNU5Dh96hDRuk558P7jdokG3MIUkPPxwsfjv00MRd0RYutO2jffffb5V5AEgV/MoC0Ki0ayfdeaf13z74oIW5cOgtLbW/q6vPVEbGK5LsPPymTYv03nvHatasLzVvnk2BCJ/qT2UbN265Ut26dbATmiT17h3TbbfdFP+4T59LdOyx3fTSS8G/R3a2dO65dvmjj6QJE4LH33FHYlX3ttuCINynj+2KBwCphLALoFFq08aC16JF0r33Wgj2Q28sZv2lnne20tNfk2QNv5WV32rmzOM1ZcpcffKJBV5/0VYqW7267utbtbIqtu9nP5OGDRuh77+3KzMyWmv06GH66ivp1VeD++Xl2aK2DRuku+4Krj/zTOnII4OPx49PDMJPPJEYhAEgFRB2ATRq7dpJ99xj1ctbb7WFbH7gqqqSqqrOkHNvSWpdc933+uijYzVhwjS9/75tgpDKs3c3bAj6ZcML1CSrcK9caZfT06U2bRbpmWfujt9+8cV/UPfue2jYsGB3uUMOCdoUHn7YFvVJ9ubizjuD5169WrrhhuDjq66SjjhiJ35iANBACLsAUkLHjtIjj9gs2csvt75RP/R6Xn9J70pqU/PxOuXnD9SYMX/Xu+9aS0Qq8rwgzHqezSn2ZWQkztU97LAKXXrpLxWL2bZq2dld9fTTN2vECOuDluyNwu9/b/9u77yTuCjtnnukXXcNXuvKK20EnCTtuaf0pz/Vz+cIAPWNsAsgpey7ry20+ve/pZNOCp9WP1rS+5J2r/k4pnnzLtNTTw3VP//pxacQpJK1a4NxYMuXB3NuJavI+vOEs7OlRx4ZrGXL8iXZqLHRo1/Sxx+30BtvBI/Jy7PgunixdPvtwfUnnyydc07w8aOP2hxk36hRVmEHgFRE2AWQknr1kt5+W3rrLbtsofcwSR9LOjh+v6+/vktDh/5KI0duSNhxrLErLw96dUtLrcLrz8SVbJtkySrcX345RhMnPhm/7aqr/qRu3Y7QY48F9z/+eBsZVlxsu5/5rRF7721TMPw3DZMnJ/bx3nxz4i5rAJBqCLsAUpZzFsQKC6Vnn5U6d5akfSR9IKlf/H7r1v1dDz/8c/3hDwvjbQGNWVWVzcP1PKvszptni9HqUlLyth57LNjurFevc3TnnTfp7ruDKQp7721TFcrLbQOPcFvDX/8qtW9vH3/2mY0k8/t7jzrKgjAApDLCLoCUl55uC6gWLpSGDJEyMtpLmigpCIGx2ByNHp2j8857PR72GqPqauvNjcXsz5w5tgGEc9qsFWPFiskaOvRsVVdbP8Ouu/bSc889rzvucCqz1l21a2cj3NLSpOuvt/YPyZ7vscekHj3s4yVLpNNPtyqyZNsNjxsnNW9e/58zANQnwi6AyGjb1iYMLFwonXVWC0l/k/Ss/NFkUqlmzjxbvXv/TlOnbtjyEyWJ51mg3bjRgu6//22baGRkWBgNV6W/+uodPfnkL1RVZU29bdvuq+eff0tDh7aLz9PNzLTKbPv21rowY0bw+HvuCdoTli61CQ3+ArisLOmNN2wbYgBIdYRdAJGz777Sv/4lffCB1LXr1bK2hn3jtxcXP6kTT+ylSy6ZFj9ln2x+RfeHH6zdoLDQqrEtW9rUhZUrLYT6Ro8+XZWVNkQ4K2svPfHENI0cuWd8p7XMzGBTjksvtc0jfLfcIv3qV3Z5wQKpX7/E1obXXrOd1AAgCgi7ACKrb1/bWOLFF3OVlVUo6YzQrUUaO7a/2rS5VrNmrUvWIUqyKu7SpRZ0S0qk2bMt6GZmSrNm2XUdOkgVFcEOGZ5nKb1t2300ZMhUjR27f3zRWuvW0rBhVhU+91zp00+D17r99mB+7ocfSsccY68tWcvCa69J/fvX/+cMAA2FsAsg0pyzKubq1dn67W/fkPScpGCO1saNo3TUUT/Tfvu9oB9+aPgyb2mpVVXLy20kWGGhhdxYTJo+3Y4/O1tasmS+HnvsmITH7rLLobrooo80fXrX+MYZnTrZ6LDPP7fFZsuX2/VpadL990vXXWcfjxkjDRgQbCHcqpVVwwcObIjPGgAajvM8L9nHsFW5ublefn5+sg8DQESsXSudcspyzZ79W0n/qnVrDx166AP65JOz1Lx5/dYCYjFrTVi/3iq3CxbY5datrdK6dKlNUUhLW69//vMhzZ37qKqrN8Uf3737pTrwwGdUXt46OPoe0o03WtidNCl4raws6cknbfzYhg3S734nPfdccHvnzhZ0jzqqXj9lAKg3zrkCz/Ny67yNsAugKZo/31OfPq9q3bqbJNUewNtTBx44RIWFF6pNm4y6Hv6jxWI267a4WCorS1x4VlYmLVpk0yX22KNKM2f+Q9OnD1ZFxeY7YvTrV620tPiOGjrrLKvqPvKI4n27knTggdKIEVKXLtYSceWViTuv9ehhQfeAA3bqpwkADWprYZc2BgBNUvfuTiUlgzRu3AI1a3a//K2GzWdauPAytW3bVe3aPaKXX/7uJ72W51k/7rff2qSIL7+0doVZs6yC++230n/+Y/3FrVpt1Pz5o/Xwwz30zjuXJATdtm2D0qsfdDt3li680Cq5d9+dGHQvucSCbMeOVs3t2zcx6F54oS1cI+gCiDIquwAg6amnVuuWW4arsnKEpPW1bk2Tc0frwAMv0QMPnKHTT99LLVtaH2xdqqpsQ4fycmsbWLPG2ifWrLFd0crKgut++EFyrkqrVs1QUdErWrLkFVVWrkl4voyMXbXHHsN0wAGXadq0dEnSgAGeDj7YgnJhYeLr77mn9NBDUp8+trXyvfdK338f3N66tbU1XH55eLtlAEhdtDEAwHZ6+um1uvXWp7Vp0xOS1tR5H+d6KTv7RB1ySB/17XukevTYT23auPh2vrGYBd2yMqu0lpVZqF2/Xlq3Tiovr1ZZ2XytWDFDa9bM0OrVkxWLbb6XcVpaO3XseIO6dRuszMy2kqQpUyyd9u3r6btaBecWLaS8PAux48fbzOHFixPvc9JJ1taw//4/5V8JABoXwi4A7KBPPtmgM874h1atGiNpuqRMSRu3cO/2atZsf7VosZ8yM/dR8+ZtlJHRWunpmaqqKldlZZmqqspUUfGNyssXqqKiSJ63peeS0tP31i673KADDrhWLVq0U0WFheb0dOnTTy3sdunihe5vkxfOO0+aMEF65hltti3yXntZP+/551PNBRA9hF0A+JFiMemyy77R+PETVFn5mqT3JG3a1sN2WFrarmrX7jx17nyB2rY9Rhs3pquszCrE1dU2GiwjQ1q0KAi7rVtLp51mPbnvvitNm2b9wWHZ2cFs3VatdvphA0CjQNgFgJ1g4ULpppvWa9Kk6aqs/FjSJ5JmSyrZ4edyrrPS049W8+bHqlmzY5SWlqtYLF1VVVapbdHC5u02b55YifXD7jnneFq2zPp16/o1vueetigtL09q02bz2wEgSgi7ALATeZ70ySfSn/8sTZzoqbR0paQlkhZL+lbShtCfTNmkhyxJu8q5rkpLO0Bpadlyzha5ZWTYn2bN7I9zVs2trpYqK+31WraUKiqk1ast7Kalbf672znb/ezqq6Wzz7agDABNAWEXAOrR/Pm2ze7rr0sFBdb6sDOEK7r+5erqxLCblmYjxc4+2/px99pr57w2AKQSwi4ANJBNm6TZs6WZM6X8fLu8dOmOPcfWFpD5YfeGGzydcIJVcjt0+PHHCwBRQNgFgCRav942c1i40HZM++Ybm5awdq1UWmqzeP1qcEaGLSRr29YWnu22m7TPPrbxQ7duUq9eFnYb++9uAGhIWwu7O3cfTADAZrKypNxc+wMAaFhsFwwAAIDIIuwCAAAgsgi7AAAAiCzCLgAAACKLsAsAAIDIIuwCAAAgsgi7AAAAiCzCLgAAACKLsAsAAIDIIuwCAAAgsgi7AAAAiCzCLgAAACKLsAsAAIDIIuwCAAAgsgi7AAAAiCzCLgAAACKLsAsAAIDIIuwCAAAgsgi7AAAAiCzCLgAAACKLsAsAAIDIIuwCAAAgsgi7AAAAiKyMZB8AAGD7eZ6X7EMAgJRCZRcAAACRRdgFAABAZBF2ASCF5OTkKCcnJ9mHAQApg55dAEghhYWFyT4EAEgpVHYBAAAQWYRdAAAARBZhFwAAAJFF2AUAAEBkEXYBAAAQWUxjAIAUcs011yT7EAAgpRB2ASCFjBo1KtmHAAAphTYGAAAARBZhFwBSSEFBgQoKCpJ9GACQMmhjAIAUkpubK0nyPC/JRwIAqYHKLgAAACKLsAsAAIDIIuwCAAAgsgi7AAAAiCzCLgAAACKLsAsAAIDIYvQYAKSQ/Pz8ZB8CAKQUwi4ApJCcnJxkHwIApBTaGAAAABBZhF0ASCF5eXnKy8tL9mEAQMpwjX3LydzcXI8eNQAwzjlJbBcMAGHOuQLP83Lruo3KLgAAACKLsAsAAIDIIuwCAAAgsgi7AAAAiCzCLgAAACKLTSUAIIX07t072YcAACmFsAsAKaSgoCDZhwAAKYU2BgAAAERWg4Zd51wX59ywhnxNAAAANF0NFnadc10kFUka7Jxr31CvCwBR4pyL76IGANi2hqzsjvQveJ5X0oCvCwAAgCaqQcKucy5P0jhJJQ3xegAAAIDUAGG3pmVhkOd5o+r7tQAAAICwhqjsPitpSAO8DgAAAJCgXsOuc26ApEWe5xXu4OPynHP5zrn8VatW1dPRAQAAIOrqu7I7xPO8Ha7qep43yvO8XM/zcjt37lwfxwUAAIAmYKs7qDnnekvqsr1P5nneq6HHDpPETF0A2IlGjhy57TsBAOK2tV3wnZLO394nc8518DyvpGambm9JQ+uaqetfxwgyANgxeXl5yT4EAEgpWw27nucN+pHPO1LSAEnFW7i9WJKccyd5njf5R74GAAAAsFXbquz+WEMkZddx/ThJ7SX5ITq/nl4fACJp1Cib4kiFFwC2j/M8r+FezLliSe09z9vuvS5zc3O9/HwyMQBIim8V3JC/uwGgsXPOFXiel1vXbQ25XbBkVV3V1ccLAAAA7GwNsYNannNuUk1V17e45rre9f36AAAAaLrqq2c3rmabYLYKBgAAQINr6DYGAAAAoMEQdgEAABBZhF0AAABEVr337AIAdh5GjgHAjqGyCwAAgMgi7AIAACCyCLsAkEJycnKUk5OT7MMAgJRBzy4ApJDCwsJkHwIApBQquwAAAIgswi4AAAAii7ALAACAyCLsAgAAILIIuwAAAIgspjEAQAq55pprkn0IAJBSCLsAkEJGjRqV7EMAgJRCGwMAAAAii7ALACmkoKBABQUFyT4MAEgZtDEAQArJzc2VJHmel+QjAYDUQGUXAAAAkUXYBQAAQGQRdgEAABBZhF0AAABEFmEXAAAAkUXYBQAAQGQxegwAUkh+fn6yDwEAUgphFwBSSE5OTrIPAQBSCm0MAAAAiCzCLgCkkLy8POXl5SX7MAAgZbjGvuVkbm6uR48aABjnnCS2CwaAMOdcged5uXXdRmUXAAAAkUXYBQAAQGQRdgEAABBZhF0AAABEFmEXAAAAkcWmEgCQQnr37p3sQwCAlELYBYAUUlBQkOxDAICUQhsDAAAAIouwCwAAgMgi7AJACnHOxXdRAwBsG2EXAAAAkUXYBQAAQGQRdgEAABBZhF0AAABEFmEXAAAAkUXYBQAAQGSxgxoApJCRI0cm+xAAIKUQdgEgheTl5SX7EAAgpdDGAAAAgMgi7AJAChk1apRGjRqV7MMAgJThPM9L9jFsVW5urpefn5/swwCARsHfKrix/+4GgIbknCvwPC+3rtuo7AIAACCyCLsAAACILMIuAAAAIouwCwAAgMgi7AIAACCyCLsAAACIrEY/esw5t0rS0mQfR5J1krQ62QeBRoHvBUh8H8DwfQAf3wvSvp7nda7rhkYfdiE55/K3NDsOTQvfC5D4PoDh+wA+vhe2jjYGAAAARBZhFwAAAJFF2E0No5J9AGg0+F6AxPcBDN8H8PG9sBX07AIAACCyqOwCAAAgsgi7AAAAiCzCLgAAACKLsJvinHNdnHPDkn0caHjOufOdc5Occ8U1fwqcc+cn+7hQf5xzg2u+zgXOuSLn3EjnXPtkHxcaDj/3qAtZYOtYoJbCnHNdJBXVfNjB87ySJB4OGpBzbqSkPEmFkhZJ6i2pS83Nwz3PG5KsY0P9cM5NklTied6gmo+7SCqQtNbzvAOSenBoEPzcoy5kgW0j7Kawmv/8BkiS53kuyYeDBuScK5Y0yPO8yaHrBkvy39nzCy9CnHMDJE1Sra+rcy5P0khJ13qex+ihiOPnHnUhC2wbbQwpquY/uXGSSpJ8KEiOReH/8CTJ87zhsoqPVPOLD5ExRFJhHUHmlZq/r23Yw0GS8HOPBGSB7UPYTUE1PXqDqOQ0adds4fr8Bj0KNJQBquNrWxN+S2SnsxF9/Nwjjiyw/Qi7qelZWaUHTZTneYVbuCm75u8t3Y4UU9OPJ225crOogQ4FScbPPWohC2wnwm6KqendW7SVX3po2s6X9KrneQSg6Ghf8/eaLdy+VopXedA08XPfxJAFdkxGsg8AO2yI53knJfsg0PjUjJ1Z5K/WR2R02fZd0FTxc99kkQV2AGG3gTnnwqNitsnzvFdDjx2mYNUtUtxP+V6o47nOl40kytkJh4bGpaTm745buxOr8Jsefu6bJrLAjiPsNrw7ZaectotzroPneSU1fXu9JQ2t63Slfx3/4aWUH/W9UMf1XWS9WydyGjOS1tb83X4Lt2eLldhNDj/3TRNZ4Mdhzm6KCM/R24aTao+mQXTV/GIrkM1Z5eseQTVf42JJk+s6bemcK5JtNkF1r4ng577pIgv8OFR2U8cQBStuw8bJKj5+vxYjaJqWKbLeLX6pRVTNmZ1FknK3cJcuYkV2U8PPfdNFFvgRqOymuJodddqza0rTU/MOf+TWenkRDaFdsnLCq6+3tLMaooufe9SFLLB1hN0U55zzv4D8Z9eEhE5lbW3szCB6+aIhdNpanucdUOu6kTW7aCHi+LnHlpAFto42hhRUsz3gICWe1lzsnMuXndpi7l6E1azE9Xu2trZzVvv6Pxo0hJr/vA5wzo30e3RrbhpCha9p4OcetZEFth+VXQAAAEQWO6gBAAAgsgi7AAAAiCzCLgAAACKLsAsAAIDIIuwCAAAgsgi7AAAAiCzCLgAAACKLsAsAAIDIIuwCAAAgsgi7AAAAiCzCLgAAACLr/wENZJ5rgjJdZgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_perturbed_stability_regions(dec4galo,gammas)\n",
    "plt.savefig('./figures/DeC4galo_stability_perturbed.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_perturbed_stability_regions(ssp3,gammas)\n",
    "plt.savefig('./figures/RK3_stability_perturbed.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_perturbed_stability_regions(rk4,gammas)\n",
    "plt.savefig('./figures/RK4_stability_perturbed.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Spectral advection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def RRK_with_spectrum(rkm, dt, f, w0=[1.,0], t_final=1., relaxation=True, \n",
    "                      rescale_step=True, debug=False, gammatol=0.1):\n",
    "    w = np.array(w0)\n",
    "    t = 0\n",
    "    ww = np.zeros([len(w0),int((t_final-t)/dt*1.5)])\n",
    "    ww[:,0] = w.copy()\n",
    "    tt = [t]\n",
    "    ii = 0\n",
    "    b = rkm.b\n",
    "    s = len(rkm)\n",
    "    y = np.zeros((s,len(w0)))\n",
    "    max_gammam1 = 0.\n",
    "    gams = []\n",
    "    uhats = [np.abs(np.fft.fft(w0))]\n",
    "    while t < t_final:\n",
    "        if t + dt >= t_final:\n",
    "            dt = t_final - t\n",
    "        \n",
    "        for i in range(s):\n",
    "            y[i,:] = w.copy()\n",
    "            for j in range(i):\n",
    "                y[i,:] += rkm.A[i,j]*dt*f(y[j,:])\n",
    "                \n",
    "        F = np.array([f(y[i,:]) for i in range(s)])\n",
    "        \n",
    "        if relaxation:\n",
    "            numer = 2*sum(b[i]*rkm.A[i,j]*np.dot(F[i],F[j]) \\\n",
    "                                for i in range(s) for j in range(s))\n",
    "            denom = sum(b[i]*b[j]*np.dot(F[i],F[j]) for i in range(s) for j in range(s))\n",
    "            if denom != 0:\n",
    "                gam = numer/denom\n",
    "            else:\n",
    "                gam = 1.\n",
    "        else:  # Use standard RK method\n",
    "            gam = 1.\n",
    "            \n",
    "        gm1 = np.abs(1.-gam)\n",
    "        max_gammam1 = max(max_gammam1,gm1)\n",
    "        if gm1 > gammatol:\n",
    "            print(gam)\n",
    "            raise Exception(\"The time step is probably too large.\")\n",
    "        \n",
    "        w = w + gam*dt*sum([b[j]*F[j] for j in range(s)])\n",
    "        if (t+dt < t_final) and rescale_step:\n",
    "            t += gam*dt\n",
    "        else:\n",
    "            t += dt\n",
    "        ii += 1\n",
    "        tt.append(t)\n",
    "        ww[:,ii] = w.copy()\n",
    "        gams.append(gam)\n",
    "        uhats.append(np.abs(np.fft.fft(w)))\n",
    "    if debug:\n",
    "        print(max_gammam1)\n",
    "        return tt, ww[:, :ii+1], np.array(gams), uhats\n",
    "    return tt, ww[:,:ii+1], uhats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rc(\"font\", size=20)\n",
    "\n",
    "m=128\n",
    "L = 2*np.pi\n",
    "x = np.arange(-m/2,m/2)*(L/m)\n",
    "xi = np.fft.fftfreq(m)*m*2*np.pi/L\n",
    "dx = x[1]-x[0]\n",
    "\n",
    "def f_advection(u):\n",
    "    uhat = np.fft.fft(u)\n",
    "    return -np.real(np.fft.ifft(1j*xi*uhat))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_rel_amplification(rkname, IC='sech2', relaxation=True, mus=(0.2, 0.5, 0.9, 0.99), filename=None):\n",
    "    if IC == 'sech2':\n",
    "        u0 = 1./np.cosh(7.5*(x+1))**2\n",
    "    elif IC == 'whitenoise':\n",
    "        theta = np.random.rand(*xi.shape)\n",
    "        u0hat = np.exp(1j*theta)\n",
    "        u0 = np.real(np.fft.ifft(u0hat))\n",
    "\n",
    "    rkm = rk.loadRKM(rkname)\n",
    "    stabint = rkm.imaginary_stability_interval()\n",
    "    if stabint == 0: stabint = 1.\n",
    "    plt.figure(figsize=(6,5))\n",
    "    for mu in mus:\n",
    "        dt = mu * stabint * L/m/np.pi\n",
    "        tt, uu, uhats = RRK_with_spectrum(rkm.__num__(), dt, f_advection, w0=u0, t_final=1., \n",
    "                                            relaxation=relaxation, debug=False, gammatol=1.0)\n",
    "        uhatdiff = np.ma.array(uhats[-1]-uhats[0])\n",
    "        uhatreldiff = uhatdiff/uhats[0]\n",
    "        plt.plot(np.sort(xi)[m//2:],uhatreldiff[np.argsort(xi)][m//2:],'-',lw=3,label='$\\mu = ' + str(mu) + '$')\n",
    "    plt.xlabel('Wavenumber')\n",
    "    plt.ylabel('Relative amplification')\n",
    "    #plt.legend(['$\\mu = ' + str(mu) + '$' for mu in np.array(mus)],loc=3);\n",
    "    plt.xlim(0,m/2-1)\n",
    "    plt.ylim(-1.2,0.8)\n",
    "    plt.tight_layout()\n",
    "    if filename:\n",
    "        plt.savefig(filename)\n",
    "    \n",
    "    ax = plt.gca()\n",
    "    plt.figure()\n",
    "    handles, labels = ax.get_legend_handles_labels()\n",
    "    plt.figlegend(handles, labels, loc=\"center\", ncol=5)\n",
    "    plt.savefig(\"./figures/waveeq_amp_legend.pdf\", bbox_inches=\"tight\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rel_amplification('RK44','whitenoise',relaxation=False,\n",
    "                       filename='./figures/waveeq_RK44_standard.pdf')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rel_amplification('RK44','whitenoise',relaxation=True,\n",
    "                       filename='./figures/waveeq_RK44_whitenoise_relaxation.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rel_amplification('RK44','sech2',relaxation=True,mus=(0.2, 0.5, 0.9, 0.99, 1.02),\n",
    "                       filename='./figures/waveeq_RK44_sech2_relaxation.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_rel_amplification('RK44','whitenoise',relaxation=True,\n",
    "                       filename='./figures/waveeq_rk44_whitenoise_relaxation.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compare_solutions(rkname='RK44', relaxation=False, mus= (0.5, 0.9), t_final=100*np.pi, plot_exact=True, lw=3):\n",
    "\n",
    "    rkm = rk.loadRKM(rkname)\n",
    "    u0 = 1./np.cosh(7.5*(x+1))**2\n",
    "    if plot_exact: plt.plot(x,u0,'-k',alpha=0.5)\n",
    "\n",