KS_single.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d2d990f7-841f-400f-b0c1-ad0e799390f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ksintegrateNaive (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using FFTW\n",
    "function ksintegrateNaive(u, Lx, dt, Nt, nplot)\n",
    "    Nx = length(u)                  # number of gridpoints\n",
    "    kx = vcat(0:Nx/2-1, 0, -Nx/2+1:-1)  # integer wavenumbers: exp(2*pi*i*kx*x/L)\n",
    "    alpha = 2 * pi * kx / Lx              # real wavenumbers:    exp(i*alpha*x)\n",
    "    D = 1im * alpha                   # D = d/dx operator in Fourier space\n",
    "    L = alpha .^ 2 - alpha .^ 4         # linear operator -D^2 - D^4 in Fourier space\n",
    "    G = -0.5 * D                      # -1/2 D operator in Fourier space\n",
    "    Nplot = round(Int64, Nt / nplot) + 1  # total number of saved time steps\n",
    "\n",
    "    x = collect(0:Nx-1) * Lx / Nx\n",
    "    t = collect(0:Nplot-1) * dt * nplot\n",
    "    U = zeros(Nplot, Nx)\n",
    "\n",
    "    # some convenience variables\n",
    "    dt2 = dt / 2\n",
    "    dt32 = 3 * dt / 2\n",
    "    A = ones(Nx) + dt2 * L\n",
    "    B = (ones(Nx) - dt2 * L) .^ (-1)\n",
    "\n",
    "    Nn = G .* fft(u .* u) # -1/2 d/dx(u^2) = -u u_x, collocation calculation\n",
    "    Nn1 = Nn\n",
    "\n",
    "    U[1, :] = u # save initial value u to matrix U\n",
    "    np = 2     # counter for saved data\n",
    "\n",
    "    # transform data to spectral coeffs \n",
    "    u = fft(u)\n",
    "\n",
    "    # timestepping loop\n",
    "    for n = 0:Nt-1\n",
    "        Nn1 = Nn                       # shift N^{n-1} <- N^n\n",
    "        Nn = G .* fft(real(ifft(u)) .^ 2) # compute N^n = -u u_x\n",
    "\n",
    "        u = B .* (A .* u + dt32 * Nn - dt2 * Nn1) # CNAB2 formula\n",
    "\n",
    "        if mod(n, nplot) == 0\n",
    "            U[np, :] = real(ifft(u))\n",
    "            np += 1\n",
    "        end\n",
    "    end\n",
    "    U, x, t\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "762b2d79-7ea8-4936-8c14-382a884d754c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5, 1.0, 'Kuramoto-Sivashinsky dynamics')"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Lx = 128\n",
    "Nx = 1024\n",
    "dt = 1/16\n",
    "nplot = 8\n",
    "Nt = 1600\n",
    "\n",
    "x = Lx*(0:Nx-1)/Nx\n",
    "u = cos.(x) .+ 0.1.*cos.(x./16).*(1 .+2 .*sin.(x/16))\n",
    "\n",
    "U,x,t = ksintegrateNaive(u, Lx, dt, Nt, nplot)\n",
    ";\n",
    "using PyPlot\n",
    "pcolor(x,t,U)\n",
    "xlim(x[1], x[end])\n",
    "ylim(t[1], t[end])\n",
    "xlabel(\"x\")\n",
    "ylabel(\"t\")\n",
    "title(\"Kuramoto-Sivashinsky dynamics\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "be805c21-bd85-4859-ac88-9738b43d5228",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(201,)(1024,)(201, 1024)"
     ]
    }
   ],
   "source": [
    "print(size(t),size(x),size(U))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "29c481e4-cf85-4688-9cdf-8571cf23abcf",
   "metadata": {},
   "outputs": [],
   "source": [
    "U"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2e6ed277-e51b-4ec1-a7af-7dc634d8aea7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CbbfdBnz7298+Usd7G1i8ePH27duvuOKK22+/vampaevWrf/93//d2Nh4MqzjW5DAjo6On/zkJ1/84hdLxtmmpqY//elPn/70p8dLIPDb3/72M5/5zO9///v77rsPuO222042CZRleeXKlbfffvv3v//9z3/+86V2t9t9ySWXlPx+7r333mXLlt1///1CZ1BV9fbbb9d1/atf/eqJmfcb4LHHHuvp6Zk6dapwKjgS11577fLly//0pz8NDQ1VV1d/5zvfSSQSTz311NNPPw0sXbr0byGBqqquXr36qquuevDBB8V2iNfrvfvuux944IEJdt1f//rXkUjk5z//ecmKGw6H77777vHeTu8EX//613fu3PnEE0+U9MBrrrnmxhtvnPBeekIgvVWTztDQ0ObNm6PRaGtr67nnnquqam9vr67rkyZNmmARtiwrGo3mcrlIJBKJRAzD6O7u9ng8E/z9+vr68vl8W1vbeBNcPB4fHR0VTlJvNJNkMjk8PFxRUREOh0uNxWKxq6vL7XaLvdQSDh8+rGlaa2vrBINtJpNZv3794cOHvV5vQ0PD3LlzJ+xWFQqFF198cf/+/ZFI5Nxzz62srIzFYrFYrKamptSzu7u7WCxOmjRp/IHZbDYajQaDwaP42huGEY1GPR5PZWXl0S+8p6enUChMMIuXIKbk9/uPtChOGKG+vn48qwwPDyeTSa/XKzbZxB7aBOdY0WfCgcdydQKWZW3cuHHPnj0VFRXnn39+OByORqPZbLa5uXmCjbG/v3/Dhg3xeLyxsXHhwoVer3f8t4lEYmRkpKqqqrTBALylm2rbtm27du2SZXn+/PlTpkzJ5XL9/f2BQKBkKEokEqlUqqqqqmRgFzrI665sKBQqrdo7wVuWwDLKKOM4ohydVEYZJxJlCSyjjBOJsgSWUcaJRFkCyyjjRKIsgWWUcSJRlsAyyjiRKEtgGWWcSJQlsIwyTiTKElhGGScSZQkso4wTibIEllHGiURZAsso40SiLIFllHEiUZbAMso4kXiXJHB4eFjX9QmNuVxudHT03ZlAGWWcnDhuErhr164rrriipaVlQhTpvn37Zs+ePW/evLq6OpHMS+BrX/tafX39zJkzzzvvvAkh9mWU8Y+D4yaBqqpeffXV//M//zOhMuM///M/f+ADH+jt7X3mmWeWL18usuW89NJL//d//7d9+/b+/v62tjaRFKSMMv4RcVxy35ewYcOGSCRS+nNgYEBRlFIJhCVLlnzve9+zLGv58uWf/vSnReOLL74YDAZft0jLUeo3lFHG3wjv8l33lusHviUcOnQoGAyWSiBMmzZNZNvv7Oy84IILROP06dNFxpcjCwZe/pn3X/9/H1W9wVEqtqtnFQ5UsgssaIdTOF9dez5rZx7YxRYwsa6R7uJfX96wgCjMoLZj4AOsOpuN7v0aOkzneeXcJ7h4gLpqhs7luXNZ7381jU7+FNca3reO8y2Yx5Y5bHehr+ecJ7ddzEpIUZxWlM+SwwsSp/PSJTzRvL+HJyABV/CrGdc/9shlbIFmuIjq5qEZ7K7n8FT2z2C39LLFCMzlT7WX37frOtaBC+ZRNW/4DF5soM9LVsM9SkWSkIkUIT6DXR2ZPTwN+6GW2HWRu/jXA5smk8OcatbVDZ4qbZnC/vm84tmVYx3EYDGPnX7pr164geegBi6kpnnwFLa10D2dPc3xHp6ALeCAa/nmrK/sWDWbQZiHenrhPNbNZPdctvq70rwIgzCF4SVV/8XXE5tCGDCfWa4ds9kZIl7EkcaXs1xuK9su93TwqvNVnQR0sDa08Gf8P2OTAxNaUOsLkznQQvc8tswrbGEj5IlfHL6Nrw5/u5pd0AaXwFmcobwwj60XWs/yHLwALvgstzm+tv/BKQzDPIJnJeeytY2DfjIqupt8LQP1hX5rl2X2m4pToY1oe10ddx3lPtz04x93rVt3LHdsbyJx79DQsddBeef420qgyAJU+tPn84m30GQy6fP5So1APB4/UgILPn2wJpon1ofxCIwOwnYwwQmzcKqdHTw1c/RZdoAB10jruHZV1wL2QRWTO1KzePE0HnSPpMjCNA4hPcnc/YTbGKnm5dP4g39ohBzGKb5d1P6ZuSaSxatVPOslt4nq+/ovZg0MwwUKLdQu0GDfGfy5eXgHG2AQzmbzjDPu230ZT8EcWEBbcybBwem8GmLjDP5Cr0UvTGZ3bdN9A9fxAvigltZ5GQev5tgdIpHG30vTEDVF5Hr6q3i2Q3+OXfACTCZ3XcPjfPzFnskkoVGeLGVM9qpsnMNqz0CSF+AwTGfP6dX39dzAOpgE82hvTufZl2dbHc8153awDR4DF1zAM7M+8eTO2RyESlynm04OeFnfwRp/bITtcABMMktaH+I/B3pD5GEuFzEgsbWOaAHnKJG05A9IKS+vTGUdgzkGoY2DIfV3fFLvhSKEcdcXT2foFPbW8uw881EOQgbt4ro/8v91/aWaZ+BUmApnoCs9AV68kPs4CGvBBzfzOMtf2D6FLqig5iwtx8E8myuIucn5SXvorDf3SAMoneCAIKn2qZH8/46vHzgBPevXb7/vvmO5Y6NQGKsA++7gbyuBNTU149XCeDwuknmNbxcpt8eXCirhuGQsL+MfAUcRP0CB16mf/Hr428rD6+Fvuxsh7KKiOA6wadMmUUlnzpw5pSzlmzZtam1tHZ+CroRBag7T0EjfhTx7Bas4H2qgAKMQR8NtIiNSvTlJEUjhpwAyOHGhOzAswA1hYo7IKBUaHsBNLkiykhEGIYGG6xBtu7SZr+Zm9NLkRF/Iuk/yi9olA3RAHg7CQYapzuAzUAD7pA4KOCmAARZYmMg6ag5PnPAIlUTAAcO000kTuCENwwxRHaMiQSiDT8cJOMmHSFQz1Ewvh6AfDGjjRc7YxUx0qIRWGuiLEPOSdWBg2VeKBw03BkiggIyM6cBwowVJMARDkIEKmMl2ZhMHN1QSYdRHxomuYFAEGTxQQy9NQ1STtcd3YABFlAIOAwfgwHChechRAAX8JAkWUPFABVQRIeYkX0AdpDrqqqMWCtQdil7BKs4EJwxCF/STIih+AQwogkLe6RolQhLyYGIhGSgF1DxOA4eMGSDFIByGGIRgPqt5/9/m/n03cNxkPpPJ/PnPf963b5+u6w888EAwGFyyZInf77/hhhtuueWWO++88/HHH+/t7b366quBm266adasWffee++sWbNuvfXWz33uc8drGmWUcSTkY77R/445MJvNPvDAA1u2bHn/+9//wAMPlEoU3HHHHTNmzLj++uuffvrpxx9/XGR9bWpqWrVq1S9/+ctPfepTH/zgByfUviwhTiRGRRXDp7LlIp45U95II8iQghT5EgdK4CKNPyM4UAIVlYKMaaLghTCjVKQIFFFUCl6yQVLEYQSSFHEMUMse2EMvzXncUqd12uBLH+U3nAFu6IduiiNKioCOCwfIIIFEERkD+1MUROHM4o0TsjnQCaNMppNJEIAMDJPNeEepSBLM4tVxSlhutBCJWgZa6OYQDIMKs9jAWenDfmSoo8FxuJ7+EAk3mkLR5kAHONFx2n/KIKNQVCl4yEWIMwTDUIAGonV1A6N1ZMEPVYSJe8gpFCXG+NMLlQxSYyZldJBBQca0kIo4DNQiCuDAcJNHQ3Cg6ZMThKy8hBOCSJVWBaM+siAlCB+mgQZQYReX8SiLoBKS0Av9xAnncCOBBSbIZPGkCJKBPBgYOAwcOs4CqoWsYgRI2sSuQR0vywueYdHRb04FHMf2efP6e8cbx03mq6urRdXyCfB6vXfd9Tp2qgsvvPDCCy88Xmcvo4y/U5zUfqGa4c7iDROfzP4FvHwqr9AETshBljxOU8zf5kBfBp+tDqkoGICOSgAixAnl8EiYbjQfmYDgwBgkAWJE6IYu+qlP4ScGm/ggD7MQqmEU+mCABOEcHpzgQDy2JSxMMKAABQqoOs4cniTBUSqoADckaKez1dFFBeRhGAYYoTJBKIu3gCpjutEqiNUTlbtNuiAJYTiNFziLHvBAI8301DIQIOVCtzlQsjmwgCoIRDzJHRgu8j4ygUKKQYiBBO28zHz2gwEhqCJIUqUggYlsGyvcECRGmDToAJJkSVgmsoFioIxxYNGFhgYGyKTwx4iQtXXCCLEIMT9pBSODd4gq6sEPfVzAWs/CHG1QhCj0EyOSxWvgsGkQxEsEGciBbv+kYxyIih4w0wxDDExo5mXmb+L0o99I8j8CB5ZRxkkL5Zhv9HdfAk9qDiRPAUeAtC+enc6e6eyhHlxQAI0Cqs2BMjjJ4sviKZkEZUwTOY+LAIRJESigOikIAgySJPEaB6YIMABRhqlMEUCD/SzMPxeYl6IRshCFQWJE0vjxghNkKOAiL/5DDjTyuPI4NdwpAjEiRMALaUKxxHT2CJMgIzBoc2AOj7DvechVMNLAYbqgF3RoZKt/7sssYARCyA1mA32VjPjIqOgypm2Plcc40Bozuquo6G60AClxLtLggRm8zAK6QYEKqMBPRqFoIhdw2BTgBC9p/GShMEbyYCEVUQwcJrKEpWC4xumBaQJxwohihB6CJELE/aSc6AXUOGGzSiYEMTy7chfzJDPACSMwwCiRNP48Lvvet7CQCqhokIMcGu48Lh2ngUPCcpEnCaOQAgVa2cYp/fGG17t7/j5Q5sAy3vs4dg78O7aF/k1QACQvGUaQ+8xWuqgGNxRBx8BhIgFIggM9muBAQEKCIg4NT9GnxAll8ZnIbnIBkmHiYeLEIAZpgDQBRmCUlBXM4sOEfniBs1lPK+gwDIOMUpEgSAC8oIBGgDROKEIG0mTxarg13Bl8cUKa140fNOimg900ARCDAYapEnqggcNB0UemipFG+jgEUVBhGmtZmO72k4UqmuitIxom7kZTMWTTpIht/3Sh4cYcIzEXbvK2vXcERiAPETiFLcxjwN4M9KkZNzlA7LbZOpADnGi4bX4zsZAsJBO5iFJEERzowHCh231kUvgThMkA4CJAOkjST9pF3kTO4BulgiBosIeFrGUOhOyt0TiRNH4NNypIYIrtR4s8ZCGLoTtyePK4iigypltwYAyy4KJbad7NTA6++7fmcUOZA8t47+PY9wPLeuBfo4hM0UuOBAxSx4DXmcUFJhQQj2QkkEEljzuPy3ZPARNJR83iSRJMEsrhAXxkw8QrGK1khBGIQxYDR4oASUgLxcMFEIcdnMZLTAILRm3lzdbugqBCmiqG8IMJKYhT0FQNj4Y7izdJMEaEIBhwmJnsog1USMIAw1ZVgrCGx8DhoOAnU82Q0l+kC6H4cSrrWGg/3WtpoK+K4QApJ7oDw7a+jjmy5PBijBkzvXjI+siESAjnIYA6EpNCO5hDEvxQQZCki7xQugo4X9vkVCigooMORSxLMpHF5685MF/iwAz+OCEyYIETL1k/aR8ZNxqg40wRwA8G9HAGm5gDlZCHBMW0ksafxYMbFDDwkHOhU4QsYlGy+PK4DBwKphuNBCQgD166aNvHVKJvch+dzPuBJ7cEllHGex0ntwRawv1CIwMJIowGSeIEy3ZAeY0DHYhdI1s7sjBRdJxZfEmCSYIaLhnTT6qS0RoGK4sjDEIcCmTwxsUOmAEmRRRkyEInc9nKJFAgCUNksr4hqhPOEBXgggSN9FENCiQQpJrBp+HO4UnjjxNGuLsOMpPd0hQLD6RhAIaEO4jHRFYp+EnVMkA39EEGGknNCmzkbAbAhVpZEEqgh5yK4cBAp2SKxE+SAAY4wQc+fGT9pIMkbUXXCS1sYe4+pqJBUBhC0ypGEaWAauuB2K8PRRTykLdpdrwSaCFJWApFmwMNkEnjSxIii9BF3eQ85DzkXOQVikUUDbetvQ8yi53MgKox5TlFBn8WH15QwcBrZAOkALIIukvjz+MuosgU3eRIQgIMCHCI1p5iMyNvch+V9wPLKONEomwLfftQKTjRyUOGAGkvWeFJj4kpOFC23ReFAyFFxMfAkceVwZskmMJfwKlQDJKsYqiefiqBiSAAACAASURBVPogau8pjVCVy3jI2/tpEhYSFCDKDF6lHVyQhiEYZIDafuqpBb/t7EKr7fjCAAyTIqDhyY+ZQwmBAqN0sLuDVwlBHuHWKFwiiyhO9CDJKmOYHohCEaayjvN6hppJQ5A6otUMBUi5yCsYKrrwCqIADggTJ4IOLgjgceT8pIVBkiRoEIB2djCbbjAhCBG8ZBUME9nmQNl+s8DEREaHPOhgYKIUxz5vpAcmCZIDCxy4yHvIudGc6MLptIiCAwwYpSo5HI7EqQQJ8qCRxZPBhx88YEKMKoZxgQYxGCVBMGcrzEUPGilIgwkhummhx97U/TtFmQPLeO+jbAt9u5BQKagUKICOG81NzvZHsRBPZRERh4yw19kcaKCjariz+FL4M/gMHCqFMPE6BlrooQsOQw6CdNFiG9N8OF26SgEFJIgzhf1MgSCQFz4c/dT30kQThCHFdPYyAyogBf0wQJxQFq+GS3iHEgYXpKgeHZ7JTqrBgGEYIkZE6IEu8mESRKEXRsEFc1nHQl6FIkSoYSBCzIPmwLD34tKQggK4SXt9Q1RRAB+ECJHwk/KRdhXytm4WgcnsYToDIEMIgrjJKZgmsv3uINsWZgpIWLaemYcCBo4SBwo9cAIHpvElCZItcaDuJO9Cd6KrFGSKEiYm5CEJ/dQRJQiKfUYdVxofIfCDBEM00UMYijBq7xlm8RZRFAwPOVKQAQki9NJEP7Y7zhujbAsto4wyXh8ntwRKqBQcGJhQRKXgIm9zIBSRizhQSg8u25An9sp0XDk8GbwZfIJqnOgVjDbQ104nB6APJGhmFzOJggtqqGTEQw4HuEDHM5hrcx2iBoBRiNJLUxettEEt5PB1Z6aE9tMMGhyGPhJGWDh55PCkCeTdLtygQSez2UEDSDAKQ8StcA6PheRGCxOnHw5DGiJwOus5ly5wQAVVjIidQIWiKnggCUkwwE8fjQPUCdsglYSJB0j5yJLFjvGrgkl00UYcHBAAP27yCkXh8FlEET5EwgQqY6JD1o5OEBwonEKFHqhiOE2dnG2MfU0PNEFBRXdSGPu34KTgpGD7uCQhjp+UvfsnAxgoGfzCVRUVhpjCfupBgRgMktF8GXwFVIWihxxp7DiMCvpoYsgO4zgKTmZb6MktgWWU8V7HyS2BEg4M2zgpIWO6yOO20+6IB7PtzGGhULQjBgqQR7BQFl8WXx63BR5y1Qy30BPoT7EXBiEEc3mZBQxABFqpp99HRsR644AoHeymFWQXScGBzQdp0xrcNIIJ+ziX55gBQB90wSAJQsIzxlaQfGBAF7PYSSs4IQ5DItWNx0J2o4WJEYUoGFDPRs7axOkMgUfQWsxHVsGQMZ3oftLEIAFAJYeY1E89FoTtHC0BUh5y6GN55aqhhX7qyYAKXpwO3UlehFDa+rMEhh2O4KCIDhlEoLqOaqAKJrSQZEyVgh27oNt6YMbw2bZQxTZfqzYB6i40L1lSkEDYZiUs26NVBQcWchofVVAHfhhmBruZCn7Eb86QHdqiUHQYBhnQQIVKDlPPqPAfPhqOXQ989y2TZVtoGe99lOMD3y4kHBQtJBw277nQ8djheaZw6ldtq5pTaIyWHT2Yw5PFm8WTw62jKpg+MrVE2+lkNxyAFLRTXKhs4gyS0AjTaKLXT0akSyEAMWaymxlQCRoMMVCoPUTbPqbQBi7o4kKe5UzwwwAcgj5GqRBBEll8KQKIxKiHmclu2sFnhwUQIzdGzhHiRGEEFGhnA2fl9nlIgR+PJxck5SIvYwrHyCBJkeEGBzSwl6nGkAMZKqFGEGbGKVwrZZtF4+7QKBHy4AAPYrPOgSFjgh0CSAGykEZFR4e07Sibx6WjCpPpaxwoNiR1ERsRIIHgQJGiRthsHRRcdpRGklE7Kw+QwUfOzmyAC7Ay+OOuME1QAQnmsIO5tqbNIAySJKDjVDBtfbIAbqhigDoSYJ6Y2/O4oMyBZbz3Ud4PfLuQkDCLKOJhKbbO8CEsaUVkHRUnKFC0n+vwGgcKGhQuhSqFEIkm+hoyh9mBHSp+Jo9w+eDhGiyYjKct10ivhxx+qIcqyDGdV5kHzQDE4TBdtO5nCpMhBMNcwFr3uRqNEIdD0EUm40vh1/Bk8dhhATIMMZ09TIUw5EopTz0WkoecnDAZggR4YTqbOIM9oEOQMDEvGQcF4ZDpJUsMRiANPpjEq3QwAE6oxR3SIsS9ZBWKIl+OSBUXoyKDH8P2+3Gii48Dw86VZmHzXgJbhxSaWxoNj46zgFP4xCiYzpJTjg7KkRxoODBUDCe6By1AKpBPMTAWre9lkFo7dY0H3EhYKQL91NEKNZBmNjscCwwmQdH2H0oS1HHaRto8FMGD5nMPUU1qLH3rG6O8H1hGGWW8Pk5uCZQASceJD7wUUVxoBMAHKsKn0eZAAw9ZNznbpTNHvujK4dVw66hiz62C0TYOsQt2wSjUw1JW8QEOgh86mM6eWgZUCoSgAeqgSDsHWQDTwGurgodpPMikWFWEetCYFD14GX9mFujQAwehnwThLN4s3rTweFQhhuOQ0e7opBJ0iIt03W4LyYNmJy/NQARmsZlT6QYLAgRtd1BTxnJQ8IvI92HIQSXMYDczGAEf1FHLQIiEi7zgI9zgAz8iMamdXk1Goeik4CLvIi8Sq2KOceAoPjIY2Hl0UogNVZGy2kKyk8RksPOpKSQJEn+NA8cpgbqPdISYSLjKYchCNcPJKoZAAh94AClO6DANtEEd5PH3pM9hPR3gsPdOk4TyuMASXjtY4GWEynzGZfviHBXHvh9Y9swuo4x/LJzsElhEyeHBD34KqG40ghAAJ1aJA2Uo4CPjI2tnLstClhweDbfIseUjXctgZCTGTtgPEpzK843nPM4SElBPqCHRTmeYOJBze2wOlGjgsG9KhhkQAQtSDFHdTct+JtMCTtjGUlZzHnhhAA5ANyNUpPGLDUn84IQ0HGIae6kF0458y+G2kNwiCUACClBDps23x+hgABQI4COjUpAwJUwneogkwzAKRWigt6JxDx0kIQj11DAQIOmkYArl2WPrWgUclsipYwHImCKfmoecm7yDgki9QxJGCJHAtP9PjBSBLD4NTwHVQrKThYrdQh1UEoRtDgSFomLrgQU3uTCJWgbpggNoI2BRbFPYCQNj3jkuDBwxIodpyFV77Log+zmLDcwGrz2NFIE8LpGlnCJI4CVOmARof996YNkWWsZ7H2Vb6NuFhY6aEY7zQXScbjTCEBL6g/XafmCBAGkfaTsOTYMcOdw6ThGEHibRSB+vwk6IQj0sYSXX9h1uRIV2prG3gT43mkhxSTVUgYMKRqexl2lQC24okCIQpe4QbUyGCuhhCY/zfmiEFHTCQZJaKEEwizeDFz+4IAe9TGUv9SBBCpLkbQ7Mi0oYWFDHTmayF0bBAT4RxFAERGptt6YJfxpkaOcVTj2cbSAHFXhD2WqGfGQUDAOHyBmDBxREQINIRibSbQv/UvGjucljYPvBDFHJiF2cYwiGSBUCSYIZvAVUwEHBDlAQwRlOYoIDtZIeWBTBE37S1Qw1mb3sgVcZBPxsZj5bIQYeCIBCDvcwVVHq+6kjAgZ0s4CXmQUBO1Leykh5XGbpdnWAlxQBe2+wvB9YRhknM8o+MW8XJhruJAEiECaPy42m+gqEwYuMVURBBRl0AqQCJQ7MCWcOdwFVwnKTr2K4Mj3CbtgLeTiV2CWR1VxON1Thbci2cqiCUQlLw50gSAQC4MBHpoE+WqEWgva5YkR6aco1eGiAFE3dvWfXrecUkKEHOuGwvQWXxWdb/HSIMoUDNILDTpEibKFOYVoU9foa2MN0uiBt+6840WVMCRwiMmAUhiEDXpjBZubTDUWopI5oJaMechKWjrOgqniF0wlOkWpAhOQZmMgKhpdsiESYhI+MyIyGBiPUMlgy/Ipk4aLylI7LQnKi236eIrOOixgVxCEP0mt6oIdcmHgTveyFbfAqeaCdZ7iQ3aBDGPxQJElomOpBqkepJGCXlJjFLnVygTAUIA0Z8rgMkcJnrMRFDreor0TxTe6j42ILffjhh//rv/5r+fLlP/rRj1Kp1PG6x09uCSyjjJMGv/vd73w+39SpU1etWnXOOefk8/njMuzJ/RZqksWXIJxx+3xqRsPlIh8mPhSpxouCYbuMykIPTAVIoWKHY2voOIsoCkUvmVoG6IQ90AchuJR7ue7A0GQ0mMoU9tcR9ZAzcGTxZkRxCDcUcWCEiVMNNbb6gUwO7yA1nUya1baLTtjFlS0PbbjwHNbBIByEXobbq1L4M3htJ54iDDNJFNMV5Z/Sdhlgp3Cz1EGFBg4w2Y7fV+0SthIWWA4KPrI2B+ahiuIMZStzbatpNdUMhomJLKB5XDk8qqeAE0yE2RMHFEWqVYdwr4kQq2QkREIwGECKevrtBHCj0Au9DDTWihzYgKjKRBJSiH3aESpF1jmx0+jAcKIHSNcyGBxIsgW2MJinGriINVxqR6XUggcyjAQrw8TihNP4cNmh8e10TuLg3vA0ektvNK4CTvGbiI8hKkaJiNCj4ri8hd43Von+5ptvDofDO3bsWLBgwbGNejSc3BJYRhnHA8dXD3zhhRecTuekSZPe0ZzGcHK/hRokCcSIjFCRUgIabsGBVEBAVHAfuwIdKWP5SdnZRHW77pKF5KQQIhnJxtg/FhIxncT7Qn/gKjrBQ7Ay2UpXiISMqeHOiioF0lgGGlGjNgARRLZsh8MooiQI9dDMJAhCP+/nUZbCNMhCN3STzvqThDL4NNmNByyI00oXjdhR8xk03IKlbX3GCXV008IQpdxtooStBE4KftKMQgwsqGUrc3cwh1FwQqUdSq9iWMiCA3EjeM9D1kvGfkEoMPZqkKtkpJYBXy5Dzk61BgSzSdv2axj0QicDhdphqjQ8gIu8X3BgGizwM0KlvZkp23l93GgRRmvzA2yFF+FVTAjPgxt5jvPwQQc0gwpxRosVMSIZfLpI3W1CGk8810gvYZAQSWvyuDVcuO0dThxIWPbqv1l84PHC1VdfHQ6HlyxZ8pvf/KaiouK4jFnmwDLe+3hL+4EHDhy45JJLSi3nnHPOV7/6VfH/e+65J5PJPProo9dff/1LL73U3t7+zud2cktggTjhESpGqAI03CqFIAkidry8CG+zSS+D35dGHQt1MzBRZCw3uQgxeuAA9IMK5/I7rn2ai0jDJNo4VEe/h5xIIK1SMEovIzIiMBwVAuCGMAFSMkUNT5S6IV9Vdc0wB5k1unNe2ytbTj+VzTAA3RAl3h5K48/gc3s1sQfYTK+j1jC8DmHfM3W56FRkTJGuGxdU00898bEUL7JdwU/CcqIHSDEKCVCgia2css+cSgaq8LkzYeJesjLFInIep4ar5DDkJfdaqlUDUYfIQ7aS4Xr67ZrsEWiDSojR1NTbO7+JfQ76YR90Ep1eV0e/2L30GDkSkAUJw+sYMStJgmmXLhQ7gfVE2QOb4GVIUFcN/8zK6mv0ASengAEN4IAYuEjXBsTOrV1JV4cY1eEhQjaHo5PHpeGxvJLks/CChBPdzjdzfGwiNmpqav7t3/6t9GdjY2Pp/36/3+/333jjjb/4xS/WrFnz2c9+9p2f7uSWwDLKOB54SzmzA4HAxRdfPKE9l8upqupwOIDR0dG9e/e2tbUdl7md3HpggVEqhqkapipOWMPjwAiQihALkvSQUylgYvv1Z/GQE6H0tokMFAwfmSqG6YZDkII6uIxVXME2UKCBJnojxGRMUQJexwmSQlGU47XLUVh2jXUidtUhA2WUij6aaAAFtrOMP7EIKiAJvXaR9BSBDD48IEOGSC7WSJ+dOSYLGgaqhGXvaLkgwrCIeRsrhCgq+EmYLvKOnGGXgvBAGzuYzUHIg0+kh0m60SSsIo7XKiJJYIzZQp0IkrGQHBheslWMSAMWw1CEFlgAM6DAYp7kCpgGaeiEfSRTwTQBE9mFRhqSkAUHMSIMIwo94MSN5iNTQcwVzbMdXoZD0AI30nlT++/4JzxwCVwC7eBAFIEQNmGptO5FyBImThB7zgVEBvQUAUKItAM+MnaHv32utJ07d7a0tHzgAx+48sorOzo6LrvssksvvfRt3tV/jTIHllHGm+O0007buHHj9u3bTdO84447Jk+efLxGPrk5UGeY6iGqh6gSlYYUin4yYeIhEl6yLuHQWLA3AF3k7XTXYxEAQneqKI7SA/0gwQx2TJr9DBfRBwEq3SM1DPhJiz20sVqtRaFJIpPHlcNLAVTw4fAZIRLC7ySNf4Aa6sEH3byPJ7gEWsBAVKWPUZHGn8WLFxygQZR6DtvF9HKQQ0e13R1lcEGQhMi9WSgVgZItJBnLJp/Ea6UgdjGTXjDBS5Ckl6yKYSEZKAaq7UECGDgt3UXerlNrx0YUfGR9+QyDkAQndMAFcCa4WMzToasSXARuOAz7oYckwSKKC1049KCBixEqGRpLYu1G+NnUMMA+2Ar7QIJl8N/cyb9u4dTq4FDrjK6qOcN2oh0NNIookkj9g639YuAlS9D2a8UkjzODL06YCgiCRZg4VeB9cz3wuMRGtLS0LF26dNmyZcdR/ChzYBn/CCjHRrxd5MknXIPUDlMtKg0JC16IRJCEj7SHnF3iR4eCyB2DSC6KjIOCGy1EgkE4DKMQgtP4M5flXvWQhgpqGQgTVykYODTcBVQLWcWwq+dJiKLwtmXSS5BkkKSPjAMjjytGxPYXHeVsNpznWkcHOO2au3+lBzpAhyHq6be9H20OHHN3lEHFUB05vPb2oCnK94lqDeZrIRQ6hDFaHPuYxiBY4MNP2o0mUxwr9yfbm2WmnURcxbDzi8uIAoA+MiTsIoqEYS6F81TOgjBnsvHj/JIPQTNkEIUNE4QMHE5RtUIEyHsZopohyNkOQwFSFYw20SfiIUjCNPgc3/X9yyMsSxGYxY6FrF3AS84a3S6WZGvsRYWiyLot1FeVgogLFa6tBZxp/DEiVEMYLCoYbZAOE35zn5iTGWUOLOO9j2NntnKWir+GDgNEqR2iKkE4h0fC8qAFSIZIBkj5yNjlDQq2ic9OheIAJyJZZZiEiHNDg0Y4h2e4iINgQgWVDPvIypgFVB2ngQMsVdQ5KAgXUE8aH5qd39JPWlRlcFIwcKTxj1JBCHIoO4vns5bZELQTrug552t6oNOummRXDrIQ6cY03La7owMc2NX8hBZqgIGBYiLb+cJFZLoJFXTSfpBJjNpJQb1kVQoSluDA1wiwaFcFlDFtpnXgRBdGS1Jj9FXLft+UDZy9XZmtedzTivuu5KHG8/qYDQ4YhChJggYOVeiBGbtqxQC1jEAenOAnRKKaIXpgH/RCABbz6LTLfsEnu7MtbrQZvDqH7VPZV82QcLJFRuSVcQjLtgPc4ELCwgsB8Ir6kEoa/wgV1EIlQMSItTFW1ePvFmUOLOO9D3nM7fxNUdYD/xo6RIlSP0hNnFAOL+AkHyAdJCFo0K6kUwAZHacwYOICNx5yPrIh4oxAAiRoZ2hqtV2SQUUOmUGSKrqFpOMUeVAUik7yNgcqggP9aACoeMn6SHvJOslbSHYwYQAMOMDpbGIOVELeLpOQwZfFY+f5NiFGHVHCgO0amsOTF84rKijC/DmmvOmifJ9qIstYLvI24SPKRbSafTJJkMGN0/YQkuw6EMKfxxjTJ8EUN6Fivx14hJeMBkXwYdbJu5ixndmdtKcI0McFrP0AqzgNQnaylnzBVRR6oODAIoTop46RsSTWQSLEahmgB7ohBZPhSn7BTTuis0kSIdbKoRa664iGSNjhiypOdBe6s8SBXvBh4MALodfSAmXwjVJBHXboxjBT2Efzm/PIyZwn5uSWwDLKeK/j5JbAAkTpp36ImjjhLB4Ro+0jHSQZIh4mIfI6i2DtDD5BhnjAi4+sj3SIpJ3R2SPSUZ82MlhJBpwESIn00qKUbBEFhJ1QLxWIzeHJ4LcLA6m2c4mHrPBKNXDk8No2vT7msIMZUAUmZG2K0/DY0YZAgjqiRECyOdAmSTci8amCaSd0KZYiPFQTWSplqs4jSkT00EwU0iCBkzElUBqrdGs6MASLYoKMgcO2NLpwkxOl3gXPE6GXxoNM6qJ1kJo8LkaQtlsX8iynQjUU7A1AE8lViui3IMJhGhgFA8FXNgf2YmcEXcD2aXMeYRm7ASoYrWaogpitw3vtQIexzKW6cC4lACHyuHBhpwVyA1YOzygVQ0o1teCCGNPZwxTwvtmNdBKTYFkPLOMfAMe+IfiuJ306uTmwCAOkk/4BmwO9IvGZj0yQZJh4BaMir7NILx0nbJcH8kEAP2k/GYdm2PbDIExlB7PpAd2mApWCqCMrasTKWCLE296RU8iJ/cC8XRzPSd6NJmpUiBq0du0KE4aYzAFPQ44qkGw3nTwuDZedt1OGJHUMiCxs5CGNCJ6wNSIJF3k3mqiEISra6jYH4ijtUipQQT/1duZsCRTboUSUdhjTZgv2ZqkFKjouijYHesh5yLnI2/6ulfRT30/9CJXiRyYBB5nPZu//z96dBduanndh/615XmvP+8xDz61udbewZEtIKEYDLUXEBjuAjeMUGONKQZHKDeHWVFEUN644N1y4CiiKuBIIdkgCBtvIhWMbOUSglrrVre4+3Wfc+5w9r3kecvG+a50jWajlVqu1rV5PnYt99rD2Wmt/3/f/nuf5D1e7tpjFTPkwi9aau9psuuNC1CuW1DTWHK+O6vZoUeXD/pXP9V/Ih2SLqmZZO6cfX2aBIkV5/VyI/ZiQoWpUyXQVZVhhlZK0yUC+buWuM85GK9EnfK14pWv1e32gfge1xMBlvQfq2xdHLDHw62rKAbv2nDmx2lWci7u7Vc01x+uOHNGKrdGBLX2y1CSqs7JWUUefIWnWeMgbHna4ELONkmahCZzGgNhJTKsfRl5o5MT0Y0h6iFtYBA8lzGaS0ai7zo7zdqxauJKNpYeyCpTI0rXtnq05o7+lqRrzlXKgp7wQsz/gdjMLGDiKyGzFvi0n4pA2GaxAkwEDE2bpMNENrz1hmMj0FCJ+5oUmMGMkRcl0LblvKzBvp5JpY012PTJ946rr1mI6lZmM8f0tYoptd1xUJ0HZivqqE0diZ7jFh/22j3uV9uKmY5wwS5plDRKFWXCaCYAcMTBLNZiOV6SpCb51GcORdFN1z/ZkK6Uakq1ee78XnX2rA+kUB8mf7jNwWcv6fq9TfwaecNee7WAlMpFKmwQC/rqjjemhA9rkHWQ2dp3Vp8CqFfVAlYwigzxrJmdTd53VRuidZqEJnEhNJUJA39f1gUl9+W4gak6jD8oCBkNYbNIkzi0bHFpzrHT/UjqTGMlMcikVCvSdsee8KBFsaqg11eJXE3RUNeTnrVffnKmTiDLCGWnKTqxqig0qU4kwzg0YmDHKLzBwwewZxuVhUS9nkDQJgHNo49haT3EmmTUs6GnGu48te6qiIV1aTr+iFWfLWc655WLcSVbU1FfU1WmT4qw3qg+/4AN2Y8rSYuw8lcgYFXWVF33gIO4Ds9Qc2WiqSERNZrI0zRtMJTtKBzbvORPooA9741lfduWtjqJTPAs99Wfgspb1fV2n+wxM0eSedrt8Yq2jNJFOmhT0ahqbDu1xQJeqG67ecdGQEutWHRd1o59ahhJrDm00rMTxINP7AJhEwMBMsJce3tcHTgap2AcmIoMxfE8mfjAyoEOTpoJe1CgmY2BD8CBVo8zIGfdcpsaUlrqVuprqfGHYtqqugKidG8pNpKeSgfka35aitrKOhWn0RDq8lhD1HqFsHnPbUW6rRP+1vIJe1jAhOt8cW2uqjqUWc+YYHniioi03x4e8snZh2Iv9Z0F7tXzLZe04wIwspZCplOe8Vzxxr33GSbQzm0gNZIMIc4GBufQgYGBmgYEVR9ZaqlCipqpZ0E3Qlz+2ds+2dZLyB/1nfNnjb3UgneI+cDkLXdZ7oL79WehbBaG943W6MTBDnz32HFttK4+lkqahD9y07y4HDNn0qsd6B4VAVrRp1UlBL2kSo2Qr1LSVB3Jx4jw1kR5JjyPCSJqGGPSIgSMSBnKRiTINyrrxHPqGOYO8QUE3+qa06JuJY8Pg9pkyGUt3lKyzwlSuPlhbPY47w6ZxK31idZ4GRctq6CQtNorZkXTU+yXi9k9WXz62eSNGUVQRYm6TplmD7GQYVSMZLZWmasTAQpxJTiWVQsr8SlcxaVrUWVFPNSbRka0nGfikaQoyuVFNI4QKGlJx3dXxTjr2hLXAMeqF902FbbddtDcXUowN5EMi7wIDU/lJUTcsAyMGZqhEaaVpjFiqaAYbuJFsQ+3ApnWy7Hm/lzz1PTo+34laYuCy3gO15MS8zcrFuAX7MYpofD/woH7GXlS+z7g0J7skWWPLinpIUIhZ6hVKhjIzQktlIughFvPDwMkMbV7srxKGD2KgyNvMzjGwoFvRjinwzRh0oS1y/HPSxmPplopN1kmw5zGvOkuaFsdOrA7z2eir3bQeMHDuFT2UG0uHf7FRSZIwlYoGOZE6E1+LSG0dBP1hiPhrqDbU9GMfGAahEyllnUypqTqUzRnE7nqfo8g47csZk4nrvnVHMcF3zKprHnaLAQWqSjpZwyCkVGPDiVUdRgzpaSu3VLqKY+mMcVG3pFPQy80Hy/F9K2motZWjh2pJWTu44EwkWypH1juFkgLHHve1p734FgfScha6rGUt65vW6T4Di6SocxD6wNJYOvSBq06yx0O7NMjzuBe93y5ZNlXyrapm6MFmxYQqZfISRCLIlFHAjexcTDBLmqSNM8aJ0WzRBw5lIwZOYP49wyDAL2uvOnHAPi1SDm04jt2XvLTJULauZmuuatvzpFdcJBel9CdWm6pxFtqy5kg5BhUuwC1q5zPzu6mJZHBVGdKjry8/3xxKmeQXYsIxeXUro04m9IGZ5ChnGDIGx4V03UpHaSpZ0ll3dNZdu/N4ppITa3pxZLrpyyPrxgAAIABJREFUYMuB/fl9x5ZXPe4WY0pU5fUSZgtj1RB7zNzQtaWuFn7dSCZk8RZ18nqhCUyFdN80BS3VjpJx/G9Jt6iXMSTRU2hYObamRMd2e/+ZJQYua1nLent1us/AkLzX4kh3WOoohT6wpLPm2F3u0qXGM17yfocU2bLhsKydMBvKtZVDEygtE7Zk2XhVHsgNZSfS5oPQ0AcG8AkrrKFMAJm5pVfoA4cFvbL2inryaGqHHdqU3HLJ3XkYYE7CrKdwslB2J9n3Pq+4QpEudXUrLRU5ZmEWeqL0DRiYHckMQnJQMAUfyhvEXnEuRAybQ6SNc/oRAycUnFiNUe8pUYnHQDbMSPvySdOq5hl7l9xyW6TObtl1TocSm864e8Zde9RJz+N+d5jGTjtYzqmwzlpQ7g/jjcyAhmPrJ3GmnU4b5/WKkaE6TBtHr7RkkHoWu4rR8SArr5ePO8zpULalXLeizIDbnvLSWxxI70iI7nenlrPQZb0H6hQHyZ9uDCxToccJDV2loI0oa687ChHnxpz1QvK5W+1LmlTZsua4oDeV7Mm3VKL1ckIhGIRlo/JgOM3OlQeJBQZmFhg4xAN94BiSpmnjvEFJd0V904E73DDco8+m6etJd+IEUlqY3R1a71UK1kiw7wlfc/k+BjbD3C9gYPsBDBwxMJ6khzIDuZ68wlxC0VEOgcFjOrR1FWPSOuEZ3sfAouNF1HtSmDpOJQfyLZWW8kgma7ju6II76dtjN6iT19yo3p5ejLFK512wc86uvXnvfdmrnnAvCiOUAuDnbXCGNTJqGjYoMOQ4ElBDHxia1bxeYMNEv9BZlPz3FHoKYRydSM1yhnn9nGHo7buKDdUQQx/76j+ytcTAZb0H6hSbZp96DKwxjJTLhXqtrL0WMPCYNFf8fz7o2jwEb0tNPWs4keqFtJ2gvpsq6VS0wsfzLiszmRNi0sZh1xeXbCOC2XSgnsRQg4CBvarmloMLdrzJNbeR4iG+yi6T+CfvK9StHNk4tK4aFY/R4atIn6aWSkcxpv+2rag/uA80NJQdyHUVw0SXebtYYCIwctpKfbmxdBAH5hd94JTSHAOHpIIqcjqRDjZwXcWZZFHvjL0rbniN6/TY8oJnXWfCWa645OZ5u5GIW+Yhr3vU0dyUIG8i1VbpVQvOC6SfLfvllbZqTIdv9SpH1lsqAQOD4UBu3gQmTQP5VspAbjJOBV1LSLnIGmYMg7piINdRjvYwxx517S0OpOUsdFnLWtY3rVN9BqbyE2tMY6vTl59JZowq2pnm2AFNyjzuP/kBt5myKlcelLXTxiOZbtDFFQXVeUmnusDAr1OgJ+ak0FEUBw4e2Ad+HQZOMkZlnXVHF9wu7PS8zKuOseGl5FNeoS4mNPTV1Q5tHFlrqskz4sgVN50hv7CKKfWCJ8os5OY1HpyFGhjK9eW7SkFNBw1b9lWiwEJDW6UvP98HjiMnZvD1Ue+DKO8Iio1ggdOXT5pUNS+489DkTV/jNmme8AUfcYscV5wp373sVqnRccyANR522NrQICOEQ4XN565zLrJJwjl3H/KmDXDCvkMbLZWhbEgFDkrLtHHKNGLgjKSRzMLoba5ZGYfvRHjyk2wqvBVX3HiLI2k5C13Wsr6X9Yeahb67OTCnGgOLutZAP8QMZWdkjcohTv2YHmu8z5c9a59kVMcX9BaZuN3g55liLN0fVzQf7AMDJ8a8wQtX5SDMC36hUYIwitfmtEngT551d/Wg7iu8aHJHFs/6D37QPllKzDgRgp8aVnryUjEhPX/cr+Rasgzo6ir1FGLIe2feByYZCDg2kOvLt5VUxS+dOGfXKkna1HWmpb7CWEbcB84xUBDUr2lGvXzSJMFIpq/QUxhL5wzWHF113St8jX22+Kj/x8cdsc4THvfqJTft0WTGpsZ6zc5cLJ+XSEQ/zx3nhmeyYfl5zu6jXnOODI2AgZtN1YFcwixjnJt3d0nTRBBAzmASWK9jJoL9aco4NOpJs4lU6I2Dq0C53v5eHJ7vTC0xcFnvgfpDzUKXGLioom60lx4yEAZ9WcMoR2gw5YzWpcornlQnE1RqzawhAo+kLz9KZkIsq7aK1mIfOJ+Fxj4wYOD9KeKYtJ5CJMTMU4dKuhsOVxsnXuCLvG7Cs1l+1Aues8LjbDPmnlazcmi9rRTYKgY0OVTTkGFEb777ypEIfeCJygMY2NOXi/EVIUQhxYmL7tgiQzvuS3sKIxkLbUR/joGluanMEJJmU4mhTF9+IDuTKOmcsXe+u+NFrjHg/XY/cO4L/rgJl1UuNx/36gV3okNphm03XXIY3crlzGaJjtKR9V3nb7tgk4wz7j3u1UgAarHvwGZDrS8/k0gZZwwzximTRMDAqdAKTiVjOvJEsEtdDKuTJohikRld9r5HB+g7UUsMXNZ7oJacmLdXOQPVmCpuZCoZlkglHc25bfN5r3iyfrwSG5Kyom46xqmnh7JBWyDBKFBJ2pF9MmJorqmLGBhChe6zSUIWRX/uUJaLOennZzte4Yt8ma7s4/x3uj9WPLDpY3yGh5myy666laFc1M7PHWWKOlKR9dJT6AYMTNK15kSN9Pybu0LD1lZpBEeZNCcuueU8eToLzlBxGOOfpqnJZGEWqqRuJabewmwqOZIdyAWe7ar6Rbd8lZe4R5VP+1V/9mR3VZX3ecZXHvX6WffUI8nGWbvOa8X4eGkm2spH1ned3XEhRDsU2r3HveZhVuhzpNsuNqz0FIOxd8Y4bRSawNgHTucy2UmU/8+miRnJuZNdyiRhNpMImYi6HL3VkfTt7wPfdUg61Wfgspb1fV+n+gzMGsbR33QhUZ/kDIu6UXmd54LXPRIdKbMU5AyTpjPJsfRIZjxXjhvTdZ8XOsfAqdRMJF7k9eODh7CkopZK9KXOK+pWgz/Nm7zIV9jjMX6Gn/dvPF/V3PzkgZ/i6Rhw50Bnbm8TG5s+XXmDhUwxtHlxadmTb/etk6NPK3I+e4pt5YiBWRouu+nSA7zZEx2lkWzoaaN8fgS9ZKGhpj2f6EpMJYcyATDzBpv2z3T2vMjXGPCk+qdX/i8/Yo+LVi7Xn/bSQ66vTk6iVfYKZ+3bNIpRjdKMtFWOre3Z3nWukasp0vCwa5cKN20x5piDaEszkUqapo3Si0EoZtFRJvaEI2EiOpP0AAamTJJmCVOT+cv/1rX0SlvWsr6XtewD316ljeKEcM7JDMSI7HS4mPI575ZLjmIUhKyUsQe8QCdSgflp9AAGzvvAscxEMuBGwMCYi9CNlP+6VX2SFNU0NhxesONVXmKHKj9u+D9m/5fV/+a6hx7z2l/wvz327KueoRQZm0EnngmpD/OA+LRxfO8nhgvOZ44B+6rFpuL9IN62UkexrdRQjWF6bfm9/qX0LasMqVPXURrIziQTAW+HcbDeU2iqRBvPqen87mAuNGndf0W3WOWTftlf/B0fN+MJz/nSE149744mYwqsc0ZDLbwtUQE40lGqWzmwddeZPdsqdFxx80lfc4EEjYCBa8HuIFBYU8bJhUFSCL4fizqJ+Tu24O7ONZzjlHHaJI6LW+/ucfmO1hIDl/UeqKU24u1VKphVhutj0tzIbBiz0dNU2bZnW3s+rkwJg7KZ5ExiJjGVmIWXOaavoBcZmOOQ0p6ezjkxGaOiXkVrkY93YvXYmn78XWuOzrl7tn/X13iTJB/U+m8r/5P/4d/65Iz3e/Ez/s2nfN4TYrh89Owe50I2/ViUwJlzRxNGMp0F32XEnotu3we3k2ia0lZuqlqZCwtvecQ1m4ypcxzdUCeSCbP4q0cQlQTd+xg4d9dO5gzXnBT3u17mNdq8nz/vV/14/3behifTL7/fi1dc33QY7wUqbLCpqygnPu0ME13FpuqR9X1be7ZCtMN5O08ET4AsHQ4dW2srB/pO0iTMNuOfPPxdhnMMHEdD1OncyydwdxfpHXqRM/xHt5YYuKz3QH37feByG/GNNY4GLdLCxS9eHUNYfI01DbW46UqQEKDvwX/ML67fgIFj42hHHUJnh0WdZGe6yAY6tHFg04Asq7btX3TbG7zBMRf5Eb/k5/6FP3vHhTUn7/PKh3zxGV9OnxlHv7OkjFFer6Abd4zpKKULH0ibzpJdRavzMIl7HnHNNlOOOdSelNvKEQNrlBiy47FAuUQzQGWlLx8Hv9P4As0MZLuKerEznEiFkImEaUlny77XeZldSvwp/yz3537bf6EleWn6fi8+7tWz7la0zMRg9w1WjGSCTWjEQIayHeUTqwe29my3MhU48ISvZS8NlelzaNDJtVTury4Xg1D3+/PMXJ0ZMHB839N1Mjcs76dHY51oVf4WdYpnoaf+DFzWsk5BNZvNv/k3/+YHP/jBxx577Md+7Mdefvnld+qRT/UZOJWM3UuCrEVsbQhDj07YFQO5+83V1DRmqQs0i8T8sQIlJW8gfR8DQztkzqUs62jQiNlA95zZt2VIkU1n7V5xwxvsgA+69gOP/Iof/7JnZ5Jn7V4Y3tlq719wZyXkH2XJCraiFe24Yyywoi8XAhKC3q+rOF1NWiMZjE9ediXyPx1wHFrBckvFCmXG3PWYV10kFamh004yYOBMIr7eCTNjmb78AgNDzOBMIm1c06i2ml7jNbo8Yvxj6X/qL0yupeQ97tUnvXLFzRX1jFHUAYZQ27KppEJ0iJEnaSLVl2+oHVrft3VkPdB3HvP6Y16zNl8JHmmqDuXC2DYsA+PdyiyuTKP39twUPORhzLOBh3Ft26Iuhih+6/qONfLHx8fT6fTv//2//5u/+ZtXr159/vnnh8Phd36EO+Vn4LKW9c7Ud3wXeuXKlV/4hV/4wR/8wcuXL//dv/t3d3d333zzzXfqqZ3eGktHl8s5BiZNp1LjdDoCYNk0nSQOFUPzs4C1SDUM/0JfNJANZJRZRMXQBCbMAim0ouVEtFSpuOP85CAVPKFT65ML7lwY3XGdOqt8wj/341+YfqTXKlQ0z9uxw4GqVs4gqOaUVDRrGjUN3Tmh5IyuUoj1tSKZmPblj6zHfPlDz/qKJylwwj0O1dVC6MK4mFZhxoHHveYKObqcRCudABeLF2hmIjmaZqL7W+wDkwmznMG6I7d4jduU+Khf9hd/w/MabHvCKw97Y9teQf8+4gXQy5lKBhKSgoWR6UimrXxi7cDmoY1AW33IG4/7mi0IGRtNtb7cRDJSWxAwcBrdcbKG0S2uH9e28z4wmrVGfcyxSFV9F+sLX/hCuVy+fPnyO/Joy1nost4D9c7NQg8ODv7KX/krv/ALv1AoFL7jp8Upx8CBnAN6QhxPxmgmMZCN27NKzNyLLYrIpg8x5UiYJU2TpskFBg5lQ27ELLZJs3nHmDbO61c0g87AiFW3XHaPKVVn3b3kluvcZsQVO+8//6991mtMbDo4526QzyXnHNaQfbeivuok0xnpkuWM5mq1paIgGGnn9UeyhzacoUzDc77kj7FOi3vshTy98n1qaJITj3rdQ5ToLzCwOJIJcYj3W0GJuFgbMhKyolImJd31yZEbvEmdK3zOP/dft18rS9soHT7q9Qvu1DSYDeSUKM7hLmUmEaMF8xEJgw1pV7GudmDz0LoSA5fdetyrUSnf5EjdSl9hIsVs3ge63wf25PXvY2DfSHoilZz/mUo6K+ohVMvJfATwLeoP0we+8MILiQfqJ37iJxYPc3Jy8vzzz//kT/7kz/7sz75TB/kSA5e1rK+r55577ktf+tIf/Hyj0fjMZz7ziU984u/8nb/zDv667/oZePv27dFotPhvqVTa3t6ezWbXr19ffHJlZWVtbe0P/mxX0Y7YPmUlTUYyXaWGWm2lEWLZk5NpIdWLJiuR5hL4E+YAOE0GEv2IkbSxxLwPnJnN0TIQYlZCRmwjpia86ao9Eqw6b+eym26wR46n/bo/9Xs+5pCrzri3MTvUomgoM5aWosyKVSdrjmNDW+aSax5uqgZSq7PK2hPJY6vOskrLE/1Xn6689NLFp73BHve0RtVWphpiHtarR9I0PeyNi7lbt2uXIog1dCIGppi/xikLncF8FkoiE+x27nKdO0z5Y7700Ad+w/Nu84irrl91Y9NhXn8kM5TrJorFfDemL4ZJ9XxVq6CQ6OUMgi9BS/XY2pGNYGud2J09fu5VF4XEP8emzWS3GixqhmEZeH8WOqSroBf1k/1o5zOVTJhmjVLGNc0Nh+5xl7r41/8W9R2z0trt9mc/+9nz58//tb/218IM5uzZs+/Ijeh3/Qz8S3/pL924cSN8vLu7+9M//dO/9Eu/1O/3H3744atXryYSCfzcz/3c3/pbf+u7/UyWtay3XW+88cbe3t7e3t6nP/3p8Jlf/uVf/vCHP/ydP/J3/Qz8/Oc/Hz7o9/vnzp376Z/+6cWXXn755Xw+/y1+tq3sDgPS4TqXCIEBJ1Yv1W4pRJpLqfSA5G9kEoaB8yYwZZoyjjzJsWSg1EwtbLkC0yJrVNRNNqcOaZDgvDc8Yp806y64fcVNtzhmlR/wWz4xeTlloJDrbdtzIrBnOkpD2QUGrjlec6zBkBUe9prHp+2kCqtcUFNPmjZVnWGdBl/1sR/4nZeeeNq/45BdDjTO1SItpkqOY8kb08euvH577ZKpsMbsKg1lx1KxwZ8GncF0wYM1ijqDnGFN0y43OabGD/s//Jnhl7PabLvsxjm7Fa2kaU9+JNNTKKa6saWcGEvHHWMyugcU9GYSPYWO0onVI2vDXDabGNrz6LlrmQujUSVjJw4wu9XSSGZ2f2Q9x8ABHcUFBvaCTV4m6AmzBkXdNcfVTtNtdmiy8lZH4XesTnr22WffeOONb+8h/nD17vWBv/Irv7KxsfGxj31s8Zlr167l8/krV66k08t2dFnfzfr270K/j3mh//Af/sO//Jf/crjtRKFQ+Kmf+qlPfepTjzzyyO/93u990x9ptVMxni5PylC2qXps7cSKSuTj6yrqBkvsuZYs9oFhFpoyzhhHA+axhHl3NCMRvidg4KCsHXiYWmS54nWPOiTHlktuX3Ej9qXnTD6U+vc+6jop6442HWgxoxQIH1kZqhIrszXHa060mLLBo171mBZlLnDRuuOsYUepX8nbJs01H/O7PkCROnfZV1drqcQoqOC3fcujXrMZ3qzQB5ZiImJSbHcncy3ivBOeSiXM8vorTuyyQ58L2h8t/2v/pWskrOZPzttZd5gzmEr2FAO6Ql8wKBjJaNOJysyibkE3aziV7Ms3VetWmqrSHHvImw95Mwo+jjm+r+gPGBiJofM+sKgTdPchvDH0gSnTvP6K+rY9t3hTvEW6YDZ/gD9y9S6d8tevX/+d3/mdf/JP/kn4by6X29vbq1Qqs9ns7/29v/cTP/ETN2/eTCa/8XIwGLwl3WhZy4LRaJTN/ucHMslvm3L9rq/n3qVf+I/+0T96/vnnz507F39rMlmpVJBIJP7G3/gbd+7cuXPnzh/8qfK47IgcRWbaSkc2Dm00rIzSmbgvChiYun+Nj8TICIAPRAKOAms0cV9vkRRMR+bLwFZcMXUoOtlYvTW45IQiZ1xys3TYsceYh3zBR66fXLVPwbqjNScxN3dFQ20sLUfNivqKek1dF2zxmDc8HINpz9vIHW44LOgNZY+t2aLIro/4fR9hnV5cCdattlSbAQOLjNnxqNedIR0xsD/OBwe0IMsI7V/aKHrtjBmbSiZNC7prTgK6SvG4X/envtj9oAMKzri3ba+ilYrz50IvqC5GtATr0aFspGWOSMrrF/QXTq0d5YZaU1WWpu3e3sNBzThZiB4rg0gNfaCmsQ8shfuacdwHDiMGjks6mw4uuh24rCdj8rzftzr9kCLz7f37vrwLnU6n//gf/+Of+Zmf+aZfff3115PJ5Pr6+rvwTJa1rNNW78Yp/xu/8Rvdbvdzn/vc4jO/+qu/+oUvfOGZZ545Ojr6xV/8xb/+1/96qVT6Jj8ZOqsNqoydWNuzveo4XD4zRqFPyBnc73PGkeppbiuSWeQBDoNQIB1GeYEAkTJJGWeMghGofQ4YsOIVT3qdFheUK+1LbrklxuU94ff9kFeEdm7NUUXLlKJBMddUjSzKmhUnK+o1TT3SnHEnf+GmK3qU2HbW3XWHZe2pZFP13NauKsceqr+58cTh4aUNexyw59haU7W1wMDZXEl4fi4/b9A2WMmNwjYyGfvArFH8O0+C71giaVLUdSKGwld41m/5hC/RpWLD4Yp63mAmERIapsHurU9DiOPtyzvmJPrKpY2zBiGccCTTl2+rNFXk6XHHI49ecxZR0T9XMyYXtBjmeR6deR84d5cLRJ+sYVXzvN3SbsdXuWaIh3xt64knvvUheIqdmt6NMzCTyfyDf/APHrxPeO65577yla98/vOfr9Vqv/iLv/ijP/qj78LTWNZ7t07xLPTd+IWf/OQnv+EzDz300M///M+/9U8O2GaDNXq6neJeaXvLfldxLB2Hnwst2RwDp3NtxCIKYhFCJGEoF3MgMmTMTUeGJZ1VJ/bm2fTbvuL93oy5vOftXHIrbp+KPOWLPuQmIypqGnk9aSrBBKWSNFVixYpGVbOsHbvEbddd3XHekIJSobNlf91RWTth1lW0wSpv8oqPfeR3/8Vjf8ZXYvLeoJNrlqotlW66WCx3JTnwsDdiHG+HJm39lfxIVnreYUzkDDKJ0UgmYuAskUrMMfCQLhf4Af/eR73OJHBZT0o6IbR9JDORTphmDWNGxTFDfXmHHNMNpmz3/TwRusdIfx1yz6OPvu7CvGU9NupmesVADY0rwUhdGoTevpdKTiaTVJAIhlzEvP6643ODXS/xIju28Um/5rNvgYGnuJaLuGW9B+oU34Weam2EJB/gObboc2DfVj1Ky1ILL62MUcTAuex9Ou8D08Z5g5gDMSQZV00mkWuaNQya64pWpjGKs8EEl33JB9xkyqYL7lx0x70IiY1L1S97NsomysraKRMFVp1Y7SqkjZUlqrOqZkWrpGNEhi23XYy6+7wV9TVHa44rWmmTgZxVVplx04d9wdPUaHPIiaZqUAkqRwX9VTdcEi1YmjFpeCgTmf6JiIFRbjdXDAZhRHAZNeaczuOlF6bP2Y1uaGWdrGHI3hhLBUJmjOsIvd9QT8ERx7TpPyjhmyQfTHsvMeXQI95wmQJtjiOLNZBUA3Up2ooPIi80ZfKAV1oyZVLW2bbnVV7gNab8MH/Vr/vM9/pIffu1xMBlvQdqiYFvs0p8gg9znhHHRq1MGIRGR7AJY5lAdZlj4Dj6xNy3wdYVHaMzWsra81loTl4/mI6shEHoDkcUeNx/9EF3SbHtgjvbkz2HMT72ZU+96nH16KWdM5hKKbOqoTaUzRqoqGpWNEs6if4sJDHZsOtsa1gJsXtVzRX1mkZFK2M0lppVElZJseeD/qNn2WRwf4d2HwOzNBUPuq5QY0STlp7CUHaWTsRx6ETOIMrtHsDAgl7ATAku+ZLnvMwRGUpy+gmzkfRImkTOsKxdGPQiALaZ6stHT50W7eDYnZ9IhkSkhNlYphO8wJMhQOKNq4nrXx90UQ7U0KRp0iQd6Lv9ON+ObWFc3s4yRivqZyd3fZUXOeIqP+s3n/70F33wLQ6kpVfaspa1rG9ap/sMXJH9+DD5oamLQmK4ZkjJyz7oinmf8zEJfWB6Orc/y4agpbZF1lLdiuZ8FlpQ0CvolbXXHbnLHU5Y5Tn/0Q9EPDzrvDsxQj3DWa96bHYr8YBwcTaQnVUTw3K2pTyRKugnyrMwBS3pxETerEkttWdbnSlZJe2qZlUz9F1TyY6SGlnqnvKSZznHLEZQtJSDebYKOTrcdiFzJ9qQtQIGFgdyIxmZGDuVGMzy+tEhbiK8MwU9rXkg7mUvedp12mTIS5tMJYeyY5mkSVlr3VFwbdOO6cIDuai771CP68qhXNI0uNoFvfw4nw5Bv1ddf8Tr1hhFSG8rD2VnkqFjj01gn7508Aud272lTQp6647c5BXepMin7PzU+V/yV4/730Rc+nV1ivMDl33gst4DtcyNeHuVqM7+uH//nBcy2yPZuP0byAfHy/jcQx8450DOZ6H3LUDjBC9cuUsObWiI9s9FRd2STlVzfXrkDjt0uOC1tcf8JzrUVCvNM+6FAaAS59x02QFjodcaS4XYoLqVriKJgl5Fq6JV1i4Gt+wpWSdWj2xEnUQm/vayTlEnY0iipxDxretMa+9C7Y6LpOmFIMFSV7GjpDyXR9x11XWbzCJjs/sHMDA6hS9oMVMp01xoj4fkuexVj9ulT4ac0MUN5CdSWaM1J2fdtcsxqFAzkVIkF+UO/Xr+0EZHKWGWNQym1335tnJ4qund8WNei17gDU60Z+Wh7HQephupS30GkqYxSn5KQsYo2nvf4A3qPMpf9D/773/N54y++fHzR6KWGLis90AtZ6FvrypaT3npUa+dsxvDdMfG0mFJtcC9zIP2Z+PglZZcWICWtQNh0oSafVvqzMiHxVe7orUWlHI32DWb8j6/7eNeisvAc3Y2HeiRXMTHbukgDhv78i3VEysN1YFcwrSgV9Yqa5d0i3oLFk7dyrE1HWbBTrtX1C3qFPSyRsyGsopkGXLHY151gVxUyvXlB/JdBWWKMWjpiuu2SQohCl3FvvwgCBRD7zdQCFIDURiZMM0ZxmdV4ILrrjpgGHuhqcRQZiA3kyjobdsr7Pfs0GaNR7kkaeoKl0hzwi2Ho42G2kwia5gzSJgO5NrKikzmQRfnSdKK5m5BHpEyySyoS31GZpKjeXiEtLx+VWtrtu8Wd0nwEa986Mn/1U92Xyu+tU/MKa4lBi7rPVCnuA881WdgQfeSWzmDTQc3y5dlSMT4u+miD5zIGMbXEW2wgz5Q2rigVxx31ecRc2t2nYt7vBIVFc0V9Q0HbnOdfYk8P+TzPuUaOc46615NI+jfmUfnmf+1hjqFcl2tYQUjmaC+K8uWdIo6Rd0FBjZVT6xErWAmaOp6Bf28wYCpxCgICzPCdZO1AAAgAElEQVRzfHvyhrPkowPASGYYQiCCcfWMI1ddj1acXVo6Sn35oZyshd1YUfd+GvEs+qMGsUjobO+4GPkxqdCDpYZyA1lmJZ1So+MGd8H7+GNeTT+W1/dDDGjT5TZlrUuVfLofqLZJ06FsWym+b/c85nWXyd43+R7U8qEPzAXqUmAvTYxkZoOEcaTvFnWrYWF7d24M8yf9U3/+zusX7Ug9NnmLU2eZXrasZS3rm9apxsCs0ZrjoeyKkyiKS8eI3KlkdEoOfWB6foGfWBBi4jKwMadxlNh2O1zsU1TUEo0V9XXHZ91znTd1JkoX+aTP+6R70ctsw2HOIOanl6lJmimQY0ZXo1CtW2mopY0n0imTgv5oDoD3kwMzGqoNK3rx5QVdeU4/azCRioG+QdYw4sg5uzbJR4bndJYcJ9LRvroUuSZX3IhWnH1a2sphJXgfSweKurKxa507ek+MSVDUr+b3bGkxMY8bTg1lRjIp06qmHW7SYJWn+ZQXPFfWzvzJ0aic8QINdmMU1PBMNmmaMUyZjGW6AQOTHHnENVcpcRBjj/ryU8lI3+1EiqmZnoIOQQKfV9SpajrikBFX9X4o/+s+40VSCnqUv9WRdIonMaf6DFzWst6ZOsV94Km+C02ZBNJmWVslRvakjTENoQWzBzBQNEGbzsWBOcOSTkzY6ZLV38jfclmTLLXoZr1lv1JvucZN8JRfS3328GsbepzhvKrGTMIaZ9kir6RtTRzxtYRNYFOlqzCRTMenHeac81noOLBSqw21mAaVkdPP6ecMghV0gPf4NxnStOZYjdz9P1QcEoboqAwdl910mTJD2gajXFehLy8rdM4RA/P3VfPh/TGNUcTHVk+sxaUlQRIRiEcZo9xg4C53GXOVP+3XSp/9imfK2p/2mxc/dNsPssIxOxzqyyNtnDIdS8XJbSbC9Wb1QI0xzYCBualkxqgQqEutOI9tqmpGIpGCkm4MS2qS5ILf95Hfn33YDXqLmekfyVpi4LLeA3WK70JPNQaapxoFikloM4ITSfzyLMxCx7EPnDEVzEJTJjn9SrAAPaJPyQ1XbriiHYNs1x1tODxr1w2ucU8py8f9n37UC2S4KLU1yRl2FZ3lIuskbDh0RlS+NdWt1q20lUNXkzTJ6RfmGFjSiSrytKbKAgODLjFvEBgkKdNEsEuZxahDbRXt4JUqQUoyMWU2kVakGnu/S257iFUmtAN1ptiXj31gkuEcA1Nfd5tADHhqqXamJYNIwpzNEmOZhTWLBvscU+Bpv5b67L/yuWseLer+cb/3Of+y8mzLBQaCy85gkgtyvqRJSNUNNy860rvjR1wTWJwtWgbyYX9YCunFLcYUHFmP1KUCJUWdoo72nMh6zpc94yVBsXk/hv4/V9++NmI5C13Wst5TdarPwKlESAaMAu1KFOOlTJLhsjdjIhV4oQ/4TgZlYFGvqhG9TIbUXPPI7GYi4KF1Gw627V10xxtcN+vwOD/iX/us26xx2aaDGXUrO4lzLrLK2Fl3V0snqkxpObHaUGsrD+TD5T9nmNcLMFiY9haz0KZqU9WApEAcyRpkjYK9yjfoxHXnUbLiVTxtnDSdSA7SOTVKTJy3cy6/a5PEffpoX05enH+OFHUV5hSZ+bg4IkMu2LJEP9UgNxlJhyzezMIbpsuK2TOJf+tTv+tP3HEha/i0l37Yb3/U73qYRDTD1jGWCqEdM4k4uc3T566HvWGTVNxeDuRI5A0qC+oSau45oyFmb5QV9PIGBozIsuWaR7zJEb1FfOR/vr7jHPnvXp3qM3BZy/q+r1N9Bk6kQzB6yqSkkyjPMrlRXi9jlDKJF+ypVOhrAgwmok3o3P6s7oAjZmx51WPR4KzGhi37Z93N7Ixc465Ehj/hy088c/vWJR0ucklNYyB3YPOOi7NziTByPG/3kltqzGhqTqtNta7iQDY4UoceLzaBnbmbWFZDbdJOPYiBOYOMUSpi4NzdNGzGepgFAzhIyxqmTCZSXUUrVKBQ7z3smjOk6H99HxhoMRMFPYV5zt40RMmnIjJkYrJwfD8nAQMzI5mZRMYo0E2N2PBVT/2/PvwVz+zbTJlcdusD/tMP+g+JR2dyc7Zn21gmeJ/NJEaB6ZpnxL6r3nSGLH26hrLM8nrVkF7cIccZt13QIMcKNQW9jFFcZqapuueMe/HXRYrSt6hTrJFfzkKX9R6o5Sz07dVIpq08kGMWxqFl7aJe1jC9uCKG1LkECQEJk6Zpo5xBRavQ60X6RZoLXvE+d5ixypYz7p23402u0+I8P+J/9+d8jTwPc0FRt6u4b2vHuT3bivSdt3PRLStzVV5dUzUI8wIGZh7EwKDQn5DTUItBC6lFHzhMG6Xn8RXZQI9s0ox5CQuaiIxAtpxItZUCOEiy72FvROfsAV1dhUHAwDAOncrrR8lFMmLgWDoAoIxoPDe7ry8ZyYylZ5JpYz26TFn3mkdf9LRr6lZnEhsOHvP6s778qNeU6QkU3KEsiaTZTGIkPc0lI7X12GU3nRFNRLuGMgmzol5p3AlW3KpcEUfWFTZZkTeIgb3hr5zRVonOpXWTzrt+3rxztcTAZb0H6hR7Zp9qDBzI1q30FGYSef2g5Svp5PWzITRiMs+CDwuhJCkZo5xhZNMfcUCTEg972ZPukWHdVmL/jHsX7LjBHVI8q/78yr/0px2yySPOuJc1aCsf2txz5si6HH1n3b3gjpX77jUtlWBgE6SJwaMtsnla85C9vBOrGhEDQxOYNcoYh4CnrGExWJidcMJIRyl2R9Po8J0wC7cGVqmS4tBV110gz5iuvsJAVpY8OcjrK1GIGBicsCNpJm1m3kXPo3ZHsmPpqUTK1JCQIrfqpsutg6odTdWJVEXbHU/62iOuqTGMvmlBWJgwxUS6Ly9kJTdddNs5SjEXaSyTNC0G6lKDCds86bqH9AUeUmplnNcLapeFIdBUIgosDjl8qyNpOQtd1rKW9U3rVN+F9hUObZR0JtJZw5J28Asp6OcMFkPCiaRJZI2EZimvd38Qekif8zzhVY/HPMAtW/bOuLfRP4zR8Bt83D/z577ces6I8zxsw0HauKN8ZHxo/cRKGOJtzfbPJ3aszJXpjYiBA7kQgZA1SpiWdCramnMQKzqxFumOGVmDnGHGMG2UMs0apExK0068rh8zUbdiT1QtpCRNZpJD2baKGlWSobm65TzFmL83kBsGbURBoINmDcM2NawEx9LDgIHZKAiUcd9nYBRnoSFtNwYYoWLPth32DQfZUS6TNXTooQtvPORNK2K6YNtAbjrfz04kB7LFfFeCtnPuOktFcKmZTRLJ1DTSdzukuGzyVOq6qyG9w0VbDgohnyk84QltJR0z6uxxl8vf8khaTmKWtaxlfdM61Ri4rGW9M7VUJ729Gkxye7YbakOZtFEYbJS0C7oFvcgkThjJLHbWwYi+qFvVXHdknxOmXHB0dv24vq5HLdyF7m/bs8s9elzlef+3/8pLkZN9LrO76iRl0lVsqJ1YbanIMOTAObvxLrRLS0s52MU/OIkJPojxLhRlR9YXfsF5g6xBxjhjnDMoBvZ5uAUNTzvhwKa7NEQ1rcRIpqfQUo6S5SR15+04SyHehQ5lhzLyFCnFVb6K6HU/M5Eeyi5W9mmT+1KmB7YRk3B4BOv4GXnH1iJLu2UglzLRkNsbXnHDKtNIDe/P8pP5sTyVHIXflaJvy75tqhDMCFMhTrRJjzyP+pLndkfnzDjLJWfdrWglzeQpCDef2/aUaHOPW291JJ1ix95TfQYua1nf93W6z8C2Oy4eW+vLB6P1sk5Jp6Sbmw4MorPQMNinI01eQbeitaJR6PQc0ibPI77iGbtgnW2bDrYcuMcReJ87T53/d/6kWxQ556zdqmbKNAQyt1U6StIMOXLGXoxY6S28IQpB1ZowyxgW9CraNQ0NOiSpObShGf2C8/pBlxQobFXNNcchsNqB9oysPdv2aAurl6FsVyEY13cTxcWIf9ueTQpgZCgzlJWnTHUua66JYt9EMKHIxl1FUtoonR4v9vULZvZEeho2PZOI2x2lmHnWFrZEOuy65JY1ptExUU8gdosYmIki46ENh9v24gxpssDAXvSkqPCEL3vWDjgjd2Zwzm5NI2OkQDWKfa+67jxT9njzrQ6kJSttWcv6XtZyFvo2q+m6qwe2ghd6sKAPFoC6ovVDWk9hwdtSUNapaq46Xsz0rfG0lzylTpEz8tX+uqN1Rw5pkOX9fssn2i+X7VOSWR1tOCzpJE1C69VV7ClIM+bElr1qsin9dRgYYtVCH1jQC1aI6tEj49jafjBESpKX11tgYKI7y7aHyYOpXfZomKAy99gfRMfetnJLNWw+evIyzOhYd2R17hw1DqaG2YgYNQrSxlZYja3jVGoUVvbZwGEY5/VjqzYLjo/RFnkqFZvDCQzktGJiWVdxImXAnotu28A8TLtrLBMwcCY5lo72wSPJ5nTDoSrpyAVPmsaEuRkrPOarnrJHkk3n3TlnZ8NRPthfrFOj731eifGmDa59D4/R77SWGLis90AtZ6FvsxqOD9d2nWuqTiWzRgXdAIM6YiRYRkdRH2QpKmvXNNYdO6JFjss85zWPGbHOeVv21xyvhe8JphVP+T0f9VXqFKw6qWnk9ZOmwbovrrlTjGnYdLCiLh0FQYNxvvdArFrAwJpmsjF1Qp+8fVt7tnVIB+eFbmBmJwdTDe5xmx2OSagl2BJRN82IhkE7F0ayffmRbISsnqpGqjSJ4qOxkexArpcoWBUcpdLG1uZui6m59DkXudrpBQbODa+CfGmRgRP8gk1MpWKn19JRGsoac+iCOzbuc/S0DWSDdfJUImJgikmwnzqKGDhjJoi5Qsa4NcNL2WseCW+CNWfcO+vupoOSjgLnuETOk16pfqDpCZLceKsD6R2ahY7H45OTk+/okP4DdbrPwGUt63TU66+//uEPf7hSqaytrU0mk3fwkU/3Gdjgq266fGxtLJMyLiwkP6EPnJDTVoldRJaSiuaq+ppjdYas8aTDi+u3XZTjHBcjguX7/eCqIM+TvuhDXqMVsjU7Bb1MdBBMTqRjpHMqOhRuOFpxEgVB0R/pfh8Y9ME1dUei6KZi17nZfkKPXAiNCfS6vjZH3OEme4w5y5OcV9F2mQ2mHHDXoY2Q4z2WXvgalnUqWhEDR4ayfflWYG9vUJIyiR+HWeIClzKkYsxblDIlYCoxncNgHFoOGEiYxdfb1Fbpy5lx7IKdbXtSMc0zWDCFCJ2Z5EQqYuCUjhV1lTnazCTN0kahpbfqlku3XdIkQcW6oy37Gw7K2gpc5mnOueTW8/6NT3H+22Bmf8ez0Fqt9rf/9t/+rd/6rXfisP7Gp7asZS3rLWpra+v555/f2Nh4xx/5dJ+Bbb5qeiO5bzv4wGYNCnolXR3/P3tvHiPZWd97f06drc6pvar3nu7ZZ7xiY+Md2xgbY0jsAGY1OOECcoL0BgREAhIUIZNIQeRGgkQRSYDoRVEA57WdxCbO9XW4dlhtg433WTwzPdPTe+3LWeuc8/7xPNXtcYw9DuOe8XV/1Rp111RXPV11nvo9v+X7/eJJyk9bxEDAFDGwU6BZoIUDGkzBOTzJWXUqlGALbGaE5RINGlCTyghHjOnHOIcZRK1SJ9ToK8Sr+k/CMUZ2zLpkvF6JprQZ64n+mL0aA038LL0SDRkD+1DhCFMsQQAWlu7m6Nj0MkJXfxmOwFHwYAgugitgnJ3s53LYBSoswTxVhnpkQ/RoVd++Dy4Zuqsx0MfskWmTZwiGIEuKWC1EDCMsshXiiJT81E8NMjFThkQRBoU1gHQHEDHQRRV+L10xBpRzsVGgBUcZY2HNkqWFgxVixKjyddMGhVaHAm2p4SuRqEI+WIci84wvMYojFfULtMrUK9TtxMGCrXABnIHhB1fzH3wALjtGpOuFcQqzkzZqoRt4DeD495VKs9n8p3/6p9UbtmzZcsEFF7wSixI4tXegB/tgJ62RQtfOlKmtMl9lDEzApkVBDl6aGHqQo5OnrXQTIsjBJng9+9npYjEKw4ylF0dZrFCjBjVog84MW6J9KrNQkeLtogwoTGAgUUhiUklKUZIEB+qUJupSgKi3lgeKuVATP0unImZcWgCMcoitLMvJjyKNPK0c3Rwd6rAIixBAHqYG6hIFLuTBv3/r//D+d5rHoQbztPv5nmaH6OFqIge45KyOHJHxCUO9q2ebFEWPztfNFHGJRnV4SMxeqsIbOiVduKWZmTGIgSlSJKw65ACRFFYyCAQJmDZtcj1sNOjAHJs2zT2WPhdP0ot7ZH3MPmq0GgM1ubwsHTKDnDNBaDrJND7PCsN1SviSXmzjiDcUFzL0y1o8nTL6ARrn84trJv/3fTe+hdkTedE9bwdecMEFr+EduIENnBCkjuOkKqCxZcuW22677ZVdzzFPeCojgSNwADbT3lUQ5pgmvoWLO5BOyNCiIPNAA1s2DB180GAItlPfVJ5lKiZlFx0TfxsHJ5kbYZkVWIEOqMyyif0wL/WOfEyPdIpYKPCqJCoRIH4UkkTlibo0bzk2DxRDHnk6ZteXj2/AFAfYIat2BcrUSzTytLRun+pASiMLO+B0KEsPkzfy43dyx3cuuYk56CAmeLyKFaKHYurFkgGqSIsMKLI/2SoVGpSFjG+PTIq4SLM6PEQbC1ejf4y8lZiTGQg3oaESpYSEPgPpCg96mPhEUhe4Q75LDgNcWGCaw+Tk0Cw1WuRFKhihreWBQECGnuQKMxAZARQwIEeToh+kCcGWDBIL18KlT9/WjjC9zIiluZPMTTP7bv6/p68+Y/7Hky9xHaWU5Pi2YPwrCiNhGP793//98vIy8Hd/93eZTObmm28+ngd8SZzaO3ADGzg1kCTJwYMHgc9+9rMzMzPZ7IvaFb4cnNo70IQmzMAsjV0ln7RCIocYhcq68vwYKHyhTTwiZIjYzV52VxlS6U8wX6SxnWc3c3gTcyxCFRwwWWCco1CFMnRpUWhSNPH7qEJNUKgkRahqKiKAJhVqZCFe1Yq3g4FaoYWXpyVjrANF3HFrPztogg5lhqiVaJRoSsk90f4ahfM5MjrdI7Oj8Kz+ZLij/uy15Xu/c8FNPABHETQLv2L0Gfh45hApcWV12NKDNo1SqUalniqXK3UxVVugRQVUbByDICUkj5HG4DAoGOqgo9EXCvnS5CwED1wMAmIZDzvk2uTJSMPt7RyQKXQdVgh6ZjeT8zFDtL5QBxZV1lUJ/UEemKAkKKhggk2XrBT5ByWVaIQGoRpHxPTIzDOxn50GvkK8jUNXcf9+dv7Pa//gxa+jiFR8fJd69CtMYAzD+LM/+7Pju2pfHk7tbsQGNvB/O07tHSgizALM47qWIKSp9A2CVXIgGdrkZV1UQ0xaqsSoUIAJ6qXyYTZ3yBkE4yxs4+Au9u3k2an+LPPQBAUKrDBMS37SU6fpF5cYa1HoowvpJxNfqOWiyilNOeOfrMVAUQtViSycooiBVQigyD52PctOOogB/yFWKtRkT7IzENLfwdHRTY9w3kG2dsjSgCe5iAcz0z3Ksu+HTx89wHCxKEBRmqKMssQQMitrUqNSZWiF4ZZa6GErJFk6RjagSIaeiafTF1qPpJDznwroCMKEIG3ohJpQhQzAAw9NRM4QXLwo3SJPHhSosZP9bAINGrAEVVoUBGdSqgMPupdpvLUYGCO7jqo063SxCBDFWiF7pYhKaQoHu8rQDJsPsH2eiZjUrnDfb/D9oYtfYigmRu1LtsdLfEXr3hA8tU+hG9jAiUAkGFLHdc/4pe90QnFMDOx0OmH4wobAzzzzzLqs51gUwEa2y+o42ANN+FA6jaiQoUtWciNUVPrCMAQTSjDOLFNLjPiYFt4oi1uYOY09Z/Ike2ABIhiHrXTIYUMBgBWY4TDTdSoBuhDSNQlSJDIG9qHDMFWpG++txkAjJqXRz4iBmBWoQwKjPMPp9WZZGqcNM8xKmXo26krfZlPqKT7FmYfY0iavElOFZzmdPVPMSrfQEPpEpEL0HhkqMAw2+EwyxwTY4EKDKsMrDFWp1Cm72KBk6RVpatl+lm4azxByj7EU2pE+4CIQmUJJUX6JiVAZl1hzOMOlRYEyWNBhN/vYCXloy/ZmnXKXjI8Zoq/OoEoJfWvgLpogBlBlCmoi+RbHpGPSaM0l3SK/zMg8E8uMeKRZ4FJ+eh33rOtleUJxzA7ct2/fpZdeKmo+q/A875Of/OQf/dEfre/CNrCBE4bouE+h/XU/hR6zAycnJxuNxhve8IY777xT3PLUU0+df/753/rWtz7wgQ+s88oASWnrQRWakpStkChxInMYDSwcMgSQiMwBIETHhjJeIb3MSItCQsrGGWV5K4fO4qnho1WegjaMwhvhIhJSnAmvgyIswz5qjaEVhgNMg9DCFfU3SSmIRQxckVIxAfQQOU+CckwMHJjGPMmZzEAEBUp6Y4hqiQYd8ECFImymMVw8wnSTokKSoccyzMJRSjTQ14jqCUqA0SEXFAzGIA8+0xxhMxTAhzrLjCwzUmWoSdHBSsDCydMu0MrSsXEsPCk2lxLaaqZ8PU3B3/fSeBaejbtGQ1EJ0GUkTCCkRYFhaaC9k/2cC5MQwBLMsRIPtwep4GqnkQQTX1qpKUJC/xgbmT6aMOQhkbO4fdRIUdHxSffItCk0KNcpO9i0MZ/138T9L34dxaRO2TzwmB04Njb2yCOPXHPNNTfeeOMnPvGJv/3bv73wwgs1TXv44Yff8573rPPKNrCB1wKeXwvN5/O33Xbbl7/85b/8y7/83d/93RtvvPHBBx887bTTTsrihHGH4KTTwsHuo/FcnxYdj7SPKZQnxadmiO6R7qUycTFVZahB0cNSibJ0R1ncyqHTwj08AvvBhEvgd+hclsvSsa5yeQecBm3YD/tYYtQlrdI38UQ/UH5ax9BliBU9F6JJIy5cQgxAJ8zSpQ7VgWnMNp7mTOYgBUWGWS5TL4hZxwQyMAJbmGW6QTFCzdDTWn0WYQHq6II+N0jbgACjRX6RMSYQlilbmGEHVCCEOkuMrjBSo9Kk6GLHpNL4OToFWsIEzsKRQjspXNIeaWmOmcZQAzGGkqGndBNpnwbY9MhKIp8OMS0K7UyeCUiTOhK/Qf05Z4A+oDsuUKck/ecMJCVfGcRAU6aF0kZmkCiuDa/Ea/8bYMR6ysf0MV3SPewuWQcLH45wIQ+/+HV0/KfQkxwDBR577LFvfvObhUJheHj4gQceeOSRR9Z5TRvYwInFy+lGrHd34Pk78Nvf/vall16ayWR+/vOfP/HEE7t3777yyiu/+MUvxvF6V2kBww6YHKiPdPFISwVLZY31LD+3Bg7MIfoqO65BqUHRIdNHNfDztMZZ2M4BHocnYAW2w/vZ+9bd/4trR1h+H9/V/0fIFQDMwD6iFdUhkyIRdEFA5oEJ9BiiWqaOMejUeYiKok6YoyvJh0KiexfPcDrLciBmmGqJRoaejCdFmCCeSFUZ6qNZuGXqLLM6shOgC58TkNOVHukmpQXGmYQS9NnKzE51P+MQy47csoyBBRcrJmXgZ+jmaIsYmBU6A31Q6ZHpYcsYaGHhivHaHB1x+sCTK69TFroEWKDQJj/HJFuhAstcyo+5BIbAgaNwlCrDbfKucNVOS7VSg4CMtJQhku1NDMT5RlmNgvGa7puIfoFU8tZCDHn2iWCFs3hy/S/OE4VjduCjjz764Q9/+GMf+9hPfvKTHTt2jI6O3nPPPZ///Oe/9KUvfepTnzpZS9zABn5NRMddiTnJtVDbtm+//favfvWrpmmKW1RVvfXWW++9995f1Sd8RZGjwwSo0px5wDdT41RqdXpDOkUqEEOAR9rB7pBtkW9S6JDzMRQSG6dMfZK5HckBnoADEMPl/OTsS/6Ojz3EhZPM3cjtt/A3vA1ysAwHYZEu2RhFcAUA2Q+MwaFCvSSkYgR9zidCEyIxWcH6a0IIwyxXhvexiwakoUyZWo5OGk/QwBmCMaoMOdgGQZHmmDC0mJemF20KNMAfOLShuNh1SvOML2mjwrBhM4dP52mmQJGeXsuM1CmLwZQIVSfM4OTp5GnnaVv9gUy1Toe8H6aJpNicUKMTknOC8E4fsjDJMiNEkIEsaHTIHWUTu2EaHC7hZ1wNOyEFi3CUJUablHpkHGxssKR1qa04WFIyNFyNgSqASiTZ9LHUvPFJe6Q90iF6TGpgtq320YigiXLwhYc5XxU45tS7e/fu3bt3/9c7XX311W9605vWaUUb2MCJhsgDj+eeESdSB+148AKVmHvvvfejH/3oFVdcIYbBfd//8pe//Lw2/fogS5cR0CEEn36iCfUu6XlggY5gDMp2mY/wVOiQb1PokBctRJ0wR2eI6jRH2AtPwzKUWTx/7Ft85G6uP8TWCebfwn038Y+X2//JCLTgCCzSISeyc4UkQZExMAGXEo2ikIqJIYAQQQ40CHJ0aSItIibYw+nxTIoOWFCiSDODI2npeRiGETrkEsjTHmF5kjmOIDmBBsuMUB3EwBQRapdMjcoi4wuMU4IEbal/Bk+zGXTowDJLjNaotCg4WBGqRt/CydLJ0y7QpgVd6INJkyJtiKXYXJauMAwv0qQOLVCgQruSX2BcjNFSBJ0u2aNMdiezbAeVc3jsktxPeQMUoQlzOC27RqVNrkuWjLQQNQiydCVFMEZoscoYmKATypHRvjzUuKRdLBEDExRVMDYAFCFA+pIc+eM/hZ78Wuif/MmfvPWtb3344YcXFxePHDkCmKZ59913f+Mb31jnlW1gA68FHLMDZ2ZmvvjFL37lK195/PHHb7jhhtXbr7vuuh/+8IfrvjYsXMoDrWU5EqmKdh9ZhNaI/EBNS56e27fa5Fvk2+S7ZIXCmolfojHG4lZm2AP7wYVt/Au/dQc37u3ublEYY9F8wr+0+dM3cT9j4CIsHPo9TbgCMpAPk/qZLrTI0ZYxMIQ+MYqIyaKt1PwAACAASURBVJmkJy2TVNjEHnYzCx5i9DRHx8BPAAuKMEQ/pwXoafxhVjYxl170ODxQjilQ9Yaoyt4dEGB0yNepLDGyxIi0MVzkNPawHSxwYJlmUKwx1KIg+qhCGFu0BKWbhTDHtqlSoSWF58iSpZOlW6BdoiH1VE3YxF52LTKGDhUogUGP7DwTe9nNLsixjYNX8QOuhC2DyZgFVhhqUeiQkwaGOqbIk4WZYSzUTU1prhQhTzRAH3wRAy0HyyMtTpKaJG30VSIC6MDSS1xIp3I34pjn++EPf1gqlf7gD/4AUJQ1Vv/09PT8/Pw6r2wDGzhROH5uxEmuhfb7/dUq6HNRrVYNw1ivJa3BwJfaJ5EceRFJYJcMBciDgR6GZRpkZY+OFi2KbfJtcg52iK4SZegNUZtkzp5z2AOHQYdz+D6/0XisxFFiUsNU2Qs/5SIelIM4S7AMTVysED1GTVASZCVO8CEy9KT/QV8MbSoqkUEgzRV8MGGK/eyUAc3GVh0LVyWK0MggLI16ZFIkBVqTzG3jIAfgMNTAgPEBOz6R/DoHu0mxTrlGpcZQUlDQoc5O9m9XDogxUaqwRJVKk6KIgUK9Jku3SHONlwjkWWaEJoCwWxrUS1tp15POTUXYwR5Oi+spLBiGMprad7CWGD3A9tn0FEOYHf8iHtSu6HMW6NCERVYYqVNuUqAAOXlsydMhJ82eQgyftHQvjJAOFkhxGhfLxRIdxb4sNYfpVd6GO5DPedXimB14zjnnzM/PP/TQQ8+9MYqif/iHf3hFBds2sIFXFK+aqbTzzjvv2muvvf7667/+9a8vLS01m83vf//7V1999RNPPPGZz3xmnVcGaEQywgyG5SNUH7NNnrIsx9FhRNjZAg40aVJsUeiSc0n30UQhdC0J3AMrMELv3MwPeDNPg0car0SDOXiGs3lCDuLUYAlqdMj6pPuoCYpwhRW1WRzS+ILkNiB2JjIGOtCDECzYxCG2UYUI0tIySYEQ3UlZQdroKtkAI407zMo2Do22lngW5qAPI6xkh6lCLP1u8RCm9g2KTflvgTT02MahneyXJhM1WKbKsIiB4iwg8sAizTI14QUv7IoWGZdaARlSuThPW0p0inopMAqns49dNCEHo1AhjeeTrlE5zPRBtjEmbP2evpL7OR+K4MEy9X65TqVJiaI09DUIcrTJQxoSAvS1PDDEwlWMRCjK4OFiO9giD4zQBmJ5jo1j49CFFjKAvzrx/MPxd7/73Y985CMf//jHxY/f+c53hoaGvve975133nnrvrYNbODEIH4ZHPmTrVJRLBbvuOOOZ5999qGHHup2u9PT01dccYVt2+u8LIEUsayCCsVVhQjNxZJq0CXwoMlEeZ4hSEnjnibFNvkumTQuKGl8A3+K2Sl3lqdgPwRwJvdxde+ZDHVhTtBOuTEdaDDtzbIZLGjJVLBJqYctTGHXluRDgEb/uTqUKRkDQ6GqQgwZmGSWKZoyjpn4KlFESsyvqsRCZrtA26Zn1EL2wwx0YRjO5ADbSaAMLijQIezojVxJI+yQa1FoUiplmxxlLFjcZez99/HrUOVYzArDDUrDrKTxUlLJu1uiOST0wruSljHHJC3QIE+RZp5Wjk6OLl3wwYAROINDbMWFIoxCiTRegN6iuMD4EaaWUqOjqaUpjl7Mz/7jomv4P7ACDVimOlGpU47yqlqIMNAI87QpSKfEPrrMAxWhJupYuI5iCzUaB8vBdrB1+n2pxeomKDJKN6VV04sjehkdeW31PLM+eOFl7dixY8eOHeu5jg1s4LUJDTh06FC9Xn/x+xWLxe3bt6/LktYQk8JBWgioUtGkS7ZOpZPO5Uod8Sk7xSyjoK7lgcJpPcAwCGx6JRrbOMhT8ATMQRmu4n/xVg6BAWOUqUn10S7MsOW0mZmRLfiwKO2KOuQDOZARrQZA+ghKoqDnCxMilUgTBkOCypBhOTWyyBhdBPlglWPhYerYGn2N0MLLhR2W4RAchAbk4Dy4lDkmRRrGIjK41WjlCjZOD1tQQLYWDgEssHvzXjaDLcdiVpLhhlLukVGJFGITP0enTD3nd6iBA8MkE8osm2iDCQVhaNHO0LNxJH0xC1voTdlzTBJCEcGLT+PFqF0yKwzPM7HA2Gh6yXT9c63HdhX37du6iw60oUp1YqhGuU55uLhCgkY/R4ciZCBFX2ifilp7QIaujeOkVmNgpkfGxTYJIlSVSGh+F4VFZA3q4L7khXS8MbAvp37XDxrwh3/4h9/97ndf/H7vfOc777jjjnVZ0gY2cILxcrTShBbl+kHuwI9+9KPi5/vvv/+rX/3qRz7ykUsuuSSXyx0+fPhb3/pWt9v93Oc+t57LEuijUQcPOUev4GN0yFWprDCcK3aEOuU0RxgHXUpltih0ybpYEZqKm6c9wXxhocUvYS84cDGHL5z+AW/Gg00M51eGqIosSAyXnHvaozO7tqDDChyFRRpjRZ+00ICR8S0E8YZFazFQJVKJVPr0ByMsGapUalRwIBZGRXGCIniMBgEkFm4u6TAHh+EgLEMazoLNcCkuVm5bp3NpjkdAhzY0iVzVtSwXu0OuRpky6FBl1+Z9bIcCHIYqLFMfLffIpPEMAhF8JPmwJht9M2w+yhQ9sKBMiWaOji10x/ugQwk2c5DtVYZIoAAVLMO1cCHxMZsUlxlZYjTKqGoj2mntfz2P7Nu1ixmElVKVoSpDMgZ6qEQ5uhSlqX2E6gtuhAI+Obo2jqiL4uIMaqFp3BhVIxL2xsNUleWERaiJw8irFRpw9tlnn3322UC1Wn33u9991113PZcJccstt1x33XX/8i//cuGFF56sVW5gA78OXg434qT2A++7775isfg8IpKmaR/60IdOyhHUxWIJ6YJkiFvsJkXxmSpDVp0pZo1KgA4etEg6ikPGx4xRDMIK9c0c4Ql4DOahDDfwj9y01z2NEpzNaTxTph7bKSagBE0u4kEuhmFowizMUaPikhZaoDIJlNphhvwAVkEjRbTmtZCAChYtir1+Bl/mFwlKHy3ECDAitJSQRasOAuACxLAL3gLXUxuu2PQu5qdcjpz59BDCLT6Gi9UhV6PSszLY0GQnz07m5hiGULYEa5S7ZAMM4WqYp12hKquUfRjlWXYEywYeZKEseBs9g0AjQpGBkU3MMdkmjwJZOdpq4arEEVqXbJ2y0KQDNnH0LJ7kNBiGvhDwHqpRqVGO8io2KZIMXTUXCZJhjCJ1YhIRAzsZujIGOvTIOGQcbF++/mGOToXaOAschTmov7Tu9MvhRpxUlQrf96vVqud5z7vT7Oys7/vruKoNbOC1gmN24FVXXdXv9z/4wQ8uLCyIW5Ik+ed//ucvf/nLb3vb29Z/cV2yMibYCPZDh2ydcpWhBiVEk7LBJuZGWRS+f3SgIyc5FRILZ5Ql43DAY/AMRHA+zk32P/MOlmAH45sWdrM3T7tOme0wCT6X8DPl2oRdEMICzFKPKy52ImJgMBCQNgYmB4kUrVGJFBLZIFSk9FiPjFR5iaREdB9NSJ4ABoHhBCzAEViAPozD5YTX6LNTU02KYyxdwMObRw6zGamc3Rc0Ec3DFDFwhWGy4LA5Pnw6TzMJCTRhhTqVHtnwOTFwiBrL0IIUbGIfu5mXQqZUyNOycVWiBAVDBkZGqTLkYUlSf4YMPQtHJ0zAI92mUBNvik6F2m72FcebjAPQoZ6Ua1TqlBsUyQDYOAVa5MTRRgnRE1UBEQPbWXpSmHyQB7rSn1hZ1RDYzGEOwix0oPwSF9LxcyPWfzL7mJg7PT39N3/zN7fccstdd921bdu2TCZz5MiRarV68cUX/+mf/uk6r2wDG3gt4PkM3d/5nd956qmnvvCFL5x//vnj4+Pvf//7v/Od7/zwhz8sFovrv7gmRZYgDSVIQ0SLYo1Kg1KbvJgqpIlZ90dYwYAAutDDwxSMuBydsf4ie+FJmINJeAd/wy0PxRehUJpqnM/Pt3IojbfMCLtgK6R4Az//Db7PhZCGGszBMj3s6Ll5IGAO5LpZjYGxoNJLQRcNdAIMwR4kEuJfWojeR0sGDhNUYR4WoQsVOJfZnVM/4o2H2azR38TR09mzk/2MSnUW0RqNSQWY3cGhgDwEcJQzeJotoEMXqnhO+nl5YLrrsQJdSMNWnuE0lgEoYacdwV1E6I5bkJPsjQ7ZEF36K6URgqImvkocYnTJ1ik1KJGGDluY2c1eJkEHB+rUqIjpUEexE5Q0XoGWGBNViIX0AQl45Olk6aI9NwZaHukAA0jjV6htYjY967EX5iCBnS9xIZ3KHPkXyDt37Njxx3/8x+u8jg1s4JXDy5lKO9kqFacUXNeiAyMwBhb4NCjVqbQo9LDRkDIhK1SoYcjqmdCuTlDS+GUaHIZn4FkI4CI678l9hw8wC8Ocw2Nn88Q4CyniRUbn7Qm2gkFmpncd93DlwLViCao4ZMRMhgxoijB8PSYGpgZe89IuTwOVmJTQMhW61yFGiC7eaRM/E/WkNGgLTDgN51z7p1yyj50+ZpHmOAsTzA2zTB4pN5YGgxRxiO6QaVCqUaEA0YApvw0saYRIgy6ZAF3EwAJtqkjVmRz9bdpeTpPlxDJl6hl6Gv0+mkdaaqLlCHXdx4xQV2O7iZ/GM/E0+hEpMazboORrJh4TzO9kP9OQBh+a1KnUKTUpdsnGpEQ0FvQIkXNK0VcfIWcq80CP2E95MgbqKRIbZ4yl7RzkSXgaGjAEl53Uy/TXw/N34J49e973vvdt2bLFMAzlOXjXu951Uta3gQ38+jiVnVuOCc31ev2yyy5TFOXd73731NSUpq39765du9Z5ZQAtmISdsBVs8OgFmaZR7JEJMKVeSw/qFGmiy09NPAQl3MYZospB2AsrUIbf4pt85OHuhfQZsqtn8NR2DhRp+RgrjFh4E5PzzMIMV275T94Em2A/1KV74VoMjJ5jer4aA1VSJMLuR8qZ6mJYNJIcwggCAgyhe6kS2Tg0kDaDSB/5n3DJHnan8SycQtDCIVfsmAQiAUODHFho9CNUF0uMhq562e5if3a0083naCCoA73JTICRIk6LyFOFOkQwxNOcvo9d0tm3TJGGhaeAj9HDlsouMQFG/NxLM4VG38RPkfiYPWwfs0NOhDgz8oeobuMA05CVgjp1ynXKTYoVahGqQZilk0n1hIibfNgYPOzIyag9KQ7kgYdnpgMMcc8c7U0cLSy0eAz2QwrO49Hp17/+Ra+j4z+FHufdTiCOeb4f/ehHrVZrz549G8SIDWxgfXDMKbTZbI6Ojp5C268H4/B62CnzQFp0yAnxbKkf40CbHG1p6xdAiFC5ztEu+Q0OwCEI4XTmr5j4Hu9jL2TYwqFtHBxj0cQLMGqUlxgJ8gYGLHKW/+TFqZ+KtFDM+HukhRyo9GlSIUNvNQaqQvI5iUmFaJhgSrs8Q1gqKVL8S/qqg0Y/K2RFxXR/Dnayv7jjMc5ZYThFXKHOCnRICc+mBKkvWsDUfYMgQfExu2Rb5OOsQgrabOXQdg4KEVE6wnMq89x+oJQAVWGcpznjSDiNK4VMC7QNghjFw+qRjSyVzJowuUKyqlcgpADSuCIShmhdsmIiFzAdfzOHN6WOkocY2jQoNSg1KXTJ9tFU+sKXwsYxCFLiwcURpofNIAYG8hUTSqEmfpn6dP8Ijw8mnDbDO/ku73vx6+hU9pE/Zgdefvnl1Wr16NGj67yIDWzgNYtjduDWrVu/9rWvvec97/nZz352SoyhxXAGXAA7wJalziA2IrREuAg+T7NsoNupgEFQpMUCzMAS5OEyvsv7fta9hDoMM82RcRbytBUSj7Tgm3fJokId9vJ6HpVkeelaYQgX+1X7Xge7R0ZyWVLytRSKpmsxMCaNiyWFwAiE+4UmVmj2fSkrCozDWfySc2fYEmLk6IyyJKghHmaXLCEYUIASOdppPCBEd7G7ZHtk0aDHFLNbOEQFUuBAV0wIaWsxsDGQAJ3iGU7nCPQhQyofZ+mq9CNUB6tDrkNOZJ4qkU6oEklVuD6Q6ITCanfwK3abXIcsKeiyiaPTHKEAQJdOlGtQalHskhGiNTZOjk6GXhpfin8OYmAaT75coagea0JGwKY3yjJ74VHYBzFcTedDuX/mnS9+Hb1q+oG/+MUvfu/3fg+45JJLnne/DX7gBl69OJW5Eccsa3JyUnhF/FecnFqoDq/HGnUBt2HRlRXFJIUiyOkiVXCxcOWfEkNCiiiNV6LO/MB9YTe8hX/lt3gUYipqbZyFIk2DQPS+hB+dTLdaMMvO1+1n02AUM0QEXvm8CmgD69lwwA+EhNTzbC2IyeCYmu9r5prFkqkpxFJWtAshZGALK6ND+9lZo1KhVqFW9JuiSdgmX6eEBxoUsNJuno5C4mMI8TghqpnTOvjo9XC6PMsQ6DJ6e6T76CliA98MfdrgQgY2s1cMhcaQFROhjmgz9sh0yHbJFNNNHHRCE1+lL08ZIYmREuJraTydvngBO+S65ASJcYKFTcxSfo5+T6XYIt8jG6MoJBZuhq5KP41rEKhxJLI+PAwCUoMJ2AhRhtUJi7Qm4nmpdbAMU/Db/CX/z77qLoZOwuV5QnDMDhwbG/vsZz97spaygQ28Qng5mtkntRvxSuC+++5rNBri+0ql8uY3v1l87zjO7bffXq/X3/a2t/3KAGszNro4znybwoH0dpm0KmhCi6Uv7XXwB5+aICzmNfo2ToU6C7AMMZzJvm07H4iv5DBMMcJyhZqFBwSSqqci1NlC6EGVCeYZljxuGDi7JnIN6ASYAYZMCxFypinphmcNend9cnRydHzdFO5OBPRNVSHRCXHBBxVysJ29nDbHpEc6S3eEFZahC+PUqVQZkka2eYo0c3T6qH00wTYMMHwMKbBQY6y8QEVO0g6qr6owNlyLukOwmQPskEOhNll65uAFcaRRe0bQMrW4b6U8nT4JghoSZVLCJSqNpxMoEGD2yHTJoEPACMubOEplMBraolUROq4Z0QA08bP0NPoZnDSeiH7ijCATzoFIrHhf0ngVaszAk7APVLiUn73hov+X3+EwLx4DT/VT6Pe+973HHnvs93//95Mk+au/+qsXvN+ZZ575wQ9+8L/xBJ///Odt2x4dHQV27doldqDv+5dddtn4+PgZZ5xx8cUX33nnnVdeeeWv8VdsYAPrgYceeujf//3fR0dHb7rpplwud0IeUwPuvffe22+//QMf+EAcx3/913/9gvf7zd/8zf/eDgS+8IUvvOUtb3nuLbfffjtw1113qao6PT196623/sd//McL/GaG3ewt0pwjliFFIaXFBoFBKBIS8aWKuROky6xBkKFnuS5L0AILXs99XMMvoAGnSRfbFFEffVCcTAwCCxdXlhDztMmBLSufgvu3+hRrFvbJQDM7IkITAjC+YpqWdDUUdkVVc0hwwPGJcppCotEnHLAfR/Em04fY0qSokJRojLBMFTxIs8zICiO4sh9YoJWl65F2sYWdU4QaoQlXCdoMUaUEFgB9+oNaok6IA45kA7ZLuRk2y3EcCxvHIExQAowEpUfWwZY2Rh627egEq39CHx0QMVA09MSQao8sBvQZojrBvIyBHnRoUeiQ75Gx8EAxCWwcjTBDN4MjBnrxkBaaxyjQReINHWORA7AHFmAzvIuv83v7ZnbzUmX7l6nU9MK48847b7nllk984hP33HPP17/+9YceekjX9eN5zBeHBnzzm9/85je/KX5uNk+8AviDDz64srJyzjnnnHnmmeKWe++99+1vf7uqqsD111//qU99KgiCk2IOs4HXAiJS4fEdL1+EofulL33pL/7iL26++eYois4555x//dd/vfHGG3/9tb3i3IixsbGnnnrq7rvvfuMb3/jpT39a3Dg3Nzc+LhjUTExMxHG8ysp/LnzNn2K2TN3C0ZQ+pvyotnDSuGuinav6jikZndL4GXrUoQYeFOEC/pMr2A8e5MjTTuPFpHxMHzMmJT5lM3FPqLDQRyUSvupkwEInUIV0igo6qMjSKGu89XAQA10sWQuNKNAq0pAOhz54hGigpIjkbE0exjjC9CJjHmkx+THCMjVZJl1gbCUZxgcdoRVt0xPa24oMFoM0NQYXSTuw5NubJIpYqiQ3+pBAkTk2Vf1hWsCqmHc/JhVguFg9bAdLThq5ZOiZqzHQRQypiOlQkyBFFKG6pHvYiaEQkWrFEyykKrGkR7RpUWiT65HxMWIUncDCydHN0cnSEcROAqkKu6a+oyMajwVaRjXgWTgILpzHzOWbv8v7eRLS9PuvrF5arVZ79NFHhVKEqqpvfetb77vvvhPyyK94Jeauu+4S3xw6dOiss8764Ac/eP755yuKkiSifIH45rl2hatYvc8GNvDr4NfnBy4uLmqaVqlUxI9jY2M/+tGPTsja1q/2unXr1tNPP/3pp58W7PulJWl8urCwoCjK2NjYf/2VYjopUwswNCKdsJ/WMCV/TCo6+xAJ7wFNqHGig0kaL0tPmgpEMEJre+HnXMAcRJBBSKGE6H30EB2pXNKmAW0IQEP478pQlsfC0+jHpFJ6jCHZgDqhr5pyUiSQZdUA08Uq2k0RA9OBVzbqUtVGxkA9Fj4YKTClSeAC4w1KCYqNM0St3K/TgBjyLDDBMiIGZulm6Vi4AWaKSFhZpIgVYpmOhli40rQdSahXIEWsCdPZABTIs8gYS9CR1HuNfopYZJUJioPtYUnvKodspSOmcPDAxceMUcV0qIGvEfXRfNJC0CWdeLQYLSwOUV22RliCLm3yQsvcJBCqczYuJAVaRVo0B0VaA4cMPihgCj6+l6FXpsEReBbmIQ1X821+2/9hmiU4g+fyeH5NzMzMvPe971398aKLLvrMZz6TSqWSJEmSRISKKIpO1DO+sjtwdcXA0tLSvn37hPT9tdde++d//ue33nprKpW6++673/SmN20kgRt45RCjRhxX1SRCKxaL73nPe1Zv2bx5MzA+Ph5F0fLysggV8/PzExMTJ2Rtr+wO3LNnz0033XT55ZcDd9xxxw033HDppZcC7373u7/yla/ccMMNZ5xxxje+8Q1RGv2vMAksXGHjrtEng2b2CzTztPN06IErzRh8TCHgOfjUdDP06EAXUjDOY7zugLedKhQhjT4gFgQYfXSNKEu3TJ0q0uQoS50yAVhQgDIZuoKSlzJjTFlxtXF8w5RdMl92CH0MlzQWGNLWtzJck2bAPngEmLKOqiPIB4xQpeJgq0Q5OlLSswk5WqnCHJMsQwA6GXoZHBNfhKxEOlWEOv3VzqRKLF4HIegm7qmQSGKHyJgyVKlIByVbxOMYpEtxhOqR9jDltK1Ljq6FK/8EB4+0mDXVCU0CjVA0QmUMVDw6jLA8zMqyPUIIXcTEjINt44g3VEzDSAeIOnTlCaVJUbZJM1KXLU97iCpHBqYaZ8AN3Mb7eBQ0qLzEdfiy+oHP24ECxWLx0ksvvfPOOz/+8Y/7vv9v//ZvX/va147nAV8Sr+wO3LFjx1e+8pVnnnkmlUp973vfu+wyKSdgmuaPf/zjO+64o16v//SnP929e/cruowNbODXx6233vre97738ccff/zxxzdv3nzdddedkId9gR3oOM7999+/f//+008//dprr+33+0eOHBkfH7cs6+U+uq7r11xzzTXXXPNf/yuTydx8880vtbi+QhJghmgafc3sl2iUaZRoFGjK+UbApkNOmhzYYGPhWDj0wJPuSHs5jQPQls67CokYBw0wIlI6QYHWsBhDEU56w8wzgSubdYyQp6MT9tF0K8QGFRs3T6thlWRkcPFlDDQ9LGwwESavQ8NVctIBVwSQACMQYmRZyFKj0iEfoq9JeooYWKBO+SibWJE5kj0Q6lSJUiQJkU7fJDAI6Euh7giVFKSlmI1wjFgT8xalY5M2eZl9lSBGtBb7Ayk3j7RPOlJUNYlEfVXaOXjQk4qs4j0yCHRClyRE90n7mCjQY5jqECvYksYZOWrXzgpPq1UXpAy9MvVhVqhCB2yosPyc5qet9/K0SjRHWeIQzEAAO/mX1G89dfBMDsNO1ELEizYbTkg/8Oqrr3744Yfvv//+t7/97dddd10qdWL6CM9f1k9+8pN3vetdokzy8Y9//Nprr1UU5aqrrvr0pz/9yU9+8oQ85QY2sM54Oe5lL3a3bdu2bdu27QQtSuKYfdzpdN7xjnece+65e/fuXe3dqar63ve+95577jmxT3w8UEgCjB52gCkY5SUaFWoV6mXqtMCVdIEmJeHSTh6yQs3SE209DBhmhs3MQQ8SMf2ZWk1aABO/RGOUJVkbtGF6YBmbhwkYI0/LIAzRRXKCSpZuhboMbj64CIKFj+mSljrfQJthViiAKpMoB1uQCbAhDyVaFFzSgIUnc54VyWRfYUjGwD7o2LhpfE2KcycqsU5g4lu4qyqmLmmRAYoAa+EYsnmYrE5aymKv6MJ5EMoRH0GTE0VdHyNEF7XQPO2MkDALhJ2DLfqoKWKdQCdMkfRRfTGhqoBDhdowK0JpBgc6CE+r1cRedPmGqJkNnyXogcGKMTzHpDTMqlChLt701FLMDMyCCudyJ+/g/0AN0uRpr//FeaJwzI7/wQ9+0Ol0brvttnw+/9wG3e7du1fbehvYwKsOJ+QU+grhmBi4srIyMTGRz+c5tkWeJInrvpRP6SuABKVLtkMuwNAJc3TK1CpUh1gZpkoDKXAyygrDooxGCQpYuDIvisGEEouMUQVHztCIcVCRjykkNm6FWrrpsQwuVGA3z7JTztNsYoL5Ii2dMMCQCmIqtBlhaS24uasJnuFhyY5cStxtmdJgQrJLl2xP+AHpJjn6ttYlO2CO94o0h6iyDG3QWGbUXbGoyhho4ukEqcEckEokKsY2jhyPtJCEeg2ykCdLN40nkmrpeh8LJoeKCz0psjqoDGuiRyr+EHnheuRp5+iggQ9dvMjysIRwjk6oE4peYogeYpACF63dH6JKbhADu/TI3r4POgAAIABJREFUrMZAkQcWaQ6zLCXDXSjwLNtn2EIAORhlhOUhqiMscxQOEtQgB5dwN9fzc3BE2v8SF+erRidmampqdna2Wq0+704PPPDAzp0vpQy+gQ1s4OXjmB145ZVXjo6OfuhDH1paWlrt/X/1q1/9x3/8x9/+7d9e/8X10YRFRIBu4Odpl6kPUR1hxe461CGEEkyzyBhIi/OM3rNwdUIZJ/RBi0nUTgMp1iIysT6aSpShN0SVBWS6Ncleffez7KAPZZhmgvkCTY3QxyQHOVChxTgLVJC2TQ7iAz4Q/UCRLmrQZZQlhsGU7k4dcl2y4ivOprpkRRJoEGbplmgq1USyOgwWGOPIYGEaJoHg18UokKhEJp6Nk/JiOUeSpUkRd0A7LFKgnaGnEyokpECBBEI00UJ0EY1TkZ2GGMJGT2SDIbqof2q9fp42JpI/2cXBWhV9MwhV+gOyoi4T4wZDVMkiDCFEDPSwhFyq4HCWaYyzyOzAN2qUpzgzOqwSSd/CceZHWZpgnhk4xAowBldS+0WFPRBDmtUTwa/Cq0YnJp1O33bbbddff/3ExEQ2m9U07dvf/nav1/vwhz/8kp2DDWxgA/8NPD89veSSS55++ulvfetbDz30ULfbnZ6efte73vX2t7/9pCwuwKgy1CbfR0vj5+iUaQxRHRFFSzG8Mk5rtDDPhGjiMUaZuoWbWuUxaKDjkZYMNBc8hLCKcHI38SUnfREakIJtPMq5R4NNJDBCxa6NM5+nrRF5pMlDDnrQYHJqjhGkbZOcFDFCdA/LVS0r64qxmDGWGEXY3NKmSbFNXnxp9HvYIXqKOI0rfd6XYBGaYDLPBDNQhc1yelMhiUnFpBQQFcUMDl1kDMxTp4wj4yFFCjSzdNP4KSG5IkY9XTJCltOHFjRpk3PI+HQitGjQGAxEUudDm2KmSRr60IMOvUJGMAk1+jqhRgREaP3VGNiiQo0cKLKL6GB7mCG6+BULtyJohEdgEVTYyiOcxyFIwSjWsDvF7CaO5httofvaBbZzH1fzI5iHETAJX2ri7FWjmS0wMjLyuc99bp3XsYENvHKIXy210FMNHullRrrkYlQTL0enSGOI6hhL0mxIh208wVkNr4QFE7CJIVYs3BSJ1LFWBh2wPrL010WWIjEjVIMgRzvd8VgcNANP5xHO4wioMMImjo6yJDj1azFQhQZTHGUE0jIGJr4SoofoLukuWeENhMsYi0xCHkJo43npJsU2hTa5LlkPK0bVCTOrhdBFWIAmWMwyxSGoQihYDom4niJUIdopqAOyrbcaA4WunI2ST4o0C7QsXJUIDQypX1aiIQdWmlClFRfb5DysEC1GFcKnwar8TJsydTIDr442XbKrOuIaoUaYIolR+mIiJxAxsE4eWMuTpSAdGAQ5OiMsa/N9ZmAFsnAWD3Ehh8GESbZycAszW5nhWdhH3UEBzuNeruWJgeppig4nRjDipOD5O/CZZ555//vfv+GdtIH/mxCdwt2IY0LzysrKVVddBbzzne+cmJh4LmPopOiFJq6yxKhKbOOk8TN0izQr1IbjFZbAgSycwS85lyXIwST6eDjCso2jkEgDowR80vgog7pfmw5Zh0yAYeGaBHnaLMMyeDDOyujwLzmXRTBhhHHmh1nJ0EsRu6TJIYkOdTYxyyik5cAnPqGph+hCPHO4uEIGAsZYnObIkfI0+6EDdRoTpSaFNvk0fkQqAQtXTISOsMwczEELshxmCzNIvvxAk9vHiNCEWpmFI2OgoDUa6bUYaJGjLWKgMAZcY2M4jIkKrQZtxJ/fGCtXqAvts3hV901flZ+pkYdEEj465F2svmRI9HXJ1VBiYekRQIcSdTvlOClbyLq6WAGmEK0RZobjLDIDM9CE19HaXfhF/AYWIQ/TbOfADg7sYh/PwD7aMA5cww94M8tIi98Ex7ElGfJX4FTXSlvFAw88UK/XDxw4MDU1tc7r2MAGXps45hQaRVGlUjmFtp9DNR52sBMUQcbL065QYxFWIIBhOJdfci51KMJmNnN4dDUGmoMY2KNAU7bj2tCgTaGLLOVJZ9kV5NzJCI/xuic4W8wcZq3uKEsVahauAj5pXzexIIEaUxxldNDoc6UGTIgubP0oQQ5CrJa7lUOMAtCBGg3KoiLaJRNipIgFS2CEpZH+MrMwB10ocoitHIa6tIXyMB0yHlYfVSUy8W0cmx4OhKDSIdugRA8iMMjSK9ASEqMGAQYUIQc+k8yxFYrgwBLMs8KwmECKUURzz8OUr2GHYVYKqZaYd6FFi4I4RwgFGmksIRuVCE5giWaODgqEq6+PLqZJbZwS9dFwiQNwGFzYwX9yBY9AC4ZgKzvZv5s96QMeT8AMNuRex8Ibx38RvwETtsCQdA5+cbycfuB610KP2YHXXHNNr9f75S9/uc6L2MAGXrM4ZsdXKpXbb7/95ptv/tjHPnbeeefZ9trhulgsCoGJdYUDVZwRu0xdIxSZUoU6y1ADBSZ5yjrjcV5HByqrMXAxQ0/GQEFpFJOZohTZhBrC7TXABMXEW3OWBcZ5nNctNsdpwWbK1CrUCrTS+JD4mA6WafpEUGUTR6VDgwc9IaSp9VdjYAUK4MAy2woHHpi4EhW6UKc+iIF5OjaORr9AWyGe4iiHkf2xHAxziK0sQEeG2XahkMYPMCI0nX4a18axcSURJEWPbJu8FAXVET3GAq0cbRMfE4ZghP+fvTuNsTyvz0P/Oftep/aqruq9e3pmGgZmPAzDZjYbQ+CCl/hix1FMIsdWXtwX0Y1iRZGsKImcN1GkSI50pSiK5AVdnGtsXTvB9sVxghzAxmYYGGbr7um9q2tfzr6f++L3q+oGY2YBZhqmHtWb7jqnzv9Unf//+X+X53kkLI9uLcyvrZ1Y8Dzr3LB9fno3X03rpwzHksH6JSo8mnFFcy9T1WFXr5VtFMtdueDaltlXIbqLA6t2S5qS9KMfdj+fDiPEssacTVe5yAqp4On6I55mwJIzLp1z8bxnfY3nqJk/wt/zf/tZ1znHiGOMWeXbaoZejjrpNa0Dsba2trq6+o//8T/+pv8/zE46xPcv7mVtxDcc1vPPP/+JT3zi3e9+9y/90i/Nzc3d/a35+flX98BAhy3DydQgG2ueuDIS9ONZTvmyR5/zoDZHzeXXj7m+YK2skTRS2G9a7jnmhvAOamyq9yv1zERXdkxMV9/aHzAe9XVvdCnu3U/ZnbJT0cjq9WR6Ml15aXpsmGrtVIr1eqqiFYV2+/PAwp6J4WQqNTV0m01n77vkODnabEUOrKu0FHI6Wb28raLmydFVL3CTPRZs5mdGq8loItZm1/riXNIoaTiSLGiHr+ieOiSprdBUjubTSbn9+nlCPacrzxKb9Fj1+NKf//6bf9zn2eEaN22fnSlpFXRGEgPpaHiTom3B2oK1Fwpn9NhlR61Y6Shk9INtXIgBjCrEflAV1iMHDmIdO5RKxkbo3hG3XeIim5zlvf7EB1wXarz7XLrPhcSzY0+zwgQf5f/0Bz6my9vJkmPAzmvw2fxu4RvOwC9+8YuFQuEzn/nMKzCkOMQh7lncy9OIb+jEzMzM5HK5e+j0CyuLLQOZpHFWL8jkbdGkzFlPeri+UTFkxrKVZSvz1ivqSaOoQM9Qc9oVJ/aNW9bZtGeiKzeWyOmkmkM7NMhx3LPOux4zG4I9abBmSRiPpAYhK6LNOjdV7RnTEMy2+7Jd2ZbinuqWaZNxcnjWJScp0mHHtuk9k2EhZixZ0Jm3dtoVz3CBLbKcdsWpOPYs0GHNTcdWLTaUR5JZ3YJ2XienFyMokrqybYUDJ9W0QUG7rFkOHFjkGPcxx453+rz3sEyH61yzbj5EvY8jBxbi/LBrwdqSWyoMYjm9p9pSDLSW2W+HxpjhHi3B2lSCwX7woGTKoKA9a2u2vel5LtHhjP+ee/8z6+ftMiN5enTWxbMuucBlujzIL/q15P/xFx5X5F28j/NUvZg88PunF/qBD3xgdnb2U5/61Kt8EIc4xOsW33DG7+7ufvCDH/z5n//53/md33nzm9/8TTsxP/mTL5LW/d3HkAZt/ckMwuZkrtO1S5dlznnaG91kzLRFq4tW52xUNFKGikxRpOk+F91PlR3W2bB3ZDK4Yud01dmlxTHD5dQF59yiTy54k7VzuglScowTGNBggxWVc3UD9qjHuPmufEN51+S26fnJjbBBesbludL6Rnk+FLGDRrpWnmgpdmUTRiXN5fGKy3ydKyR4kPe64pRJHmKVPitccevUctiGCcKOYFVmKLQhB2GRpS9Yp+3vzbSL2hn9lmLxeEsy6jne7s/vP/X882+83w63uaq3nd2brs7ZGEmFkPp2Ol/Id+wq1NrHJm6YiqW1LbumGkpVu4zT+kEsnwqywx5jwdpUguFBwsc4o1/WWLDmMs9xjSKP+3/9uL8ER5118bTLx0c3XGeTCd7lyw8/+il/p327oOrUxJUpOzfmjm105lx/0c/Ry+iFvsqr0t9wWLdu3fq1X/s1fPrTn/4mF92f/MmffA3OwEMc4ruBl6WNeJXPwG94uUcffXT8N+C1GUXsp9UdWFOWtOxRY8CMW6WlC87ZIKWYbc3amLUxY7t8wIEzTNBzdnTpfPppi4zYZM2OqY78SDKnp0GNDiU3HN3enbZOn4xANRn9/Wv8IGbf7rLCioKWDtvsBiPNYlOxrrKnumPKRLSKOenqSVdjEbXHrrpyEOlnDCbtusazPMcOZ/hxftaqxaXpFf8bbyHDbS4b306EOvDAqzOGziKxf70fuMtCe5jVzeskjZpKNxxrHC07SdLDnvyw/+adzLLNdW7ZMRVUIwPplkLdhBLYcNJVC/urpFt2TDVU7jYOzeplQi5il47cuJsO+6yjaE4T7GGm7C6PbrnA8/vSx4/4rz7qEpOcddYLx90IbWQdjvIen/ZTX+i9wyZlp11+wLNnXbTk2y+F3uN4tevOQxzi1cfLyk76LqRyvhzc0/pAiRgGNJAek9EvaqnTBPMuOXvVyTDHq9qbtjNte9JO0DEoM8s0Yy551JedJsM265rdUlshbJwGJy89ym5ZdoMtBqSkDZNGKaOsfl67pFnWCAzgNmvi07vNoH+vmaip7prcNbmnqkySupnW1gnXVcXGaV1LKTRj89rVwZ4rPM8KBX6Mf+SLx9/WVnin/5X/2x0/xhS7XOe2uspQOmWUMkwZxREcYvR6wlD42k8OHAZxfVNxxdIlZ4bHU0oqq/UP+Kwf5TRtQZNR71fa8mHBtaVYMxH1kFtOueooBZpsabcKtf2W8gEHZvViSmEnxBvvhzqNSUYvnFkbrvAsl43GPO6p8w9duXrKHse430lXF6zaoUWKE7zNn3m3r1OXTg6CuP646wupVVOv3Uf0O0YSP/dzP5dKpZ588sknnngi9Tfgp3/6p1/rQz3EIV4hXo5b4WvhUvHxj3/8jW9845EjR8bj8b/+1//6Wz7utQlXSZNk5MATpRAMUTqkWHTF6eiEvWhCbcJe1d6Eel5nKDXIpdOzA3PUueqxc3/5mw/+vAo1NtjRWSyMJO+kq/cpW3XEyv56PmI87TirmzaYtFtstWyyabQjuSdlpIua3ZJt9V5lMzsT5pYN5XE+kUiOtbht+cxNVXyD11jSqKxpnatcY8B5ftbvZz/6lIfyOu/0+aLW7/zw/968VvI0a6zrdzP9XIZxTA4UlzGN3Yn1HYZo+2QwCU0YjyXaiuvmxpJVtVMTV9zyw4v/6/3p//6nD/2IL7HOLTa0lkphuScMNlXJsuukK9mlXq+atcIWW/aK1ZD7mzbM6eV08zqRA0eRhA8IUFpee9Luktsu8CwbktN8zCf9nKfIcs6xwvUlt6bsxmysPMdcyJ77uje6QVHCuKBdtdeVW7S6NvMtwifvxkvfSntt9kLf+c53fuELXxgOh0tLS//8n//zV/kIDnGI1zOS2Nra+rf/9t8ehNreQ0iTgzEJo4x+UTuagmVYcNWJGC6bU9aoqFc0Spo5XTSVzDJLlpse9YQ3MRslF3a05UeSaf2QCxtiA9fMW6cee4lDyaE0ibzulO1lt6K55a6+wDxjSYzihPCWFcsb5vZMBiua6BS2YdGq6p0EpW589WFFPZJPUDm+ze9mf+p3/dSzHixpPuLJv+WP3u9PnYompXZoxiT3BCTGISY3EZqNo2QovYYMYhrESHIsMZTqyO2YWrWwYskku8oXGx/wWW+hyHbkwCAc6ck2lfZUTVGg4aRrZ100R58dNu2a3DfPjh3Xgna0pesT3McGd/6aQRKx0F3zHJcY8mY7H538PT9lnQXOO+OFIMgMUVCKzLvu2G590jqt2BsP5gazNg/uVv4m3Mue2Ye90EP84ONe1kbc273QDIWQ2B5Cgvrx+tonx6KbjsamZS6EyzYLWgXttEFIQjfFDDnWvNlXPczivkqwphNZaHCnbinZMmP77oSJdF86xLsvWK+s1WPHcig3w3EkHMERYza4or1WWLOwp9pWiAbSfXbNhwSldBTLBYV+iC60ud99Panztvx/8+E/97YNcxNqZ116qy895ktxrTRY3bT1ZEaSY0YSI8kDV7ggUIAhfcG/9OACH2htx9SG2Xa2oMPz3ud/Vh/cM0kjNnhrJjryPbmW4q7qeCqhTFtlt36/C46AvciBLYXhfqZ8QaeopSXqFUO88YAEWYqq9hbddpkL3GaeD/l1n7hw+5wEZxyZvH3c9Qn1ZDgdMuT2I403xfXddrgFEKrB5OSLeGbfy7hzYfiTP/mTS5cu/U2PW15eDgHUhzjE9x1ejjbitXPs/eVf/uVv87if+Imf+L3f+73v/fF8IzKUyQl2lGG/UZshZd2p3Iple7FdVtQMlmqp4XCcSowk2wr1ZKVSrcuwqXSt+cCJ55478oAxNep6cZA1DNI1KN6VMDFkEPV+qKhPNnY9w9PssMgjvFfSyNu4mIxF2kVy1uYW9pLVYKEtxYiGaduxqTigF4uZrF6iMY4p6jke9Gfe9efedtmZI1Yr6ktW9D2YeS65PBqVk1bo0DGQCc7ZI8mhVOTAkbCceTBKDZm+d+UipXtyobqrqxSGbdc9PviLt6W/+McLH/IEt1lVG0+0EoXO/iO3Tc9MbLnJivsnnwvu3eps6jWzrVJpIJM0yukWtPLDTqApacNMqqmkT5KCfKYzY+uoW8EAW5tH+Vn/j497nhkecM6FRas5nbGkLJlofN6VCz53KjR0CoWQ+VHUmrTL9Kv94fwu4c4Z+B/+w3/4Nj4UCwsLr8rxHOIQ333c69OIgHe84x2PPPLIq/zyL4JslMbl9LL6MSk2OKAUrJlftagB8graed2snqFEajyS7Mq1FCvFelAnuOSBE889t/gAwgAwtBOjnm0kZK83lIPji0HkwNDoi6ubX+ciad7F3/eXpx7L6vpxUnydFtfIc8LO0cmY0ZuJwQlVu6r7xmp9Q6mEcU5Pfb/1OsUb/aXHLrh/UE8nKqOypm3qjp24vmh1pbwUfcf6B03OVFy52p+dZvQyepKCQKEj15Fvy3fkxpEzo/CvpWjMGn/l7W/74h8vf8iAVSE/ozldbivc4cDqlhFrHjj/nFMUokTQtmap2JcOHBiXlup0qGgo11QOwgyrdudszDS3vMAaed7nc8ff84XWO2xzwsz81klXZmylDfvS8vuf0NBN7VCjRE1jrtSRz+tk9crq354DX9ZW2nfygX0FuLc7MYc4xA867u0zMM0ERXmdnE5eJw6axpSsW1g3H0OC8go6YW0lrIh8g+XziG2uOeWymZgcpBMveAmjmD+XJKsrrxcJ0CCWW1n9XKPrKhfY4BQ/53+9612/428Xtd6x8IXCL7R9iEV2uMGKHdMtxba8nOArM6GuSlHQjIfEhbhW2iHNgu0jU097w2A9rStYpGqwY85mzCFKCbO+MOUL48q7OTCnlwscOApJiflAd23FrtxYMmmUNAp9Udjha94aeq1YZ4VNNRMtpabynuq2qTjJ3HLOhZmpreA4aocdTaW+TLDBLmmp7QtN0nZN7prSI8uEaduLVl3jGk2W+Zjf9nFfZcwJZ11ashJs4/qyIRYiWM7kdEMWhW121E0cvG7xxTN07+38wLm5uX/1r/7V0tLSq/zahzjEq4OXfhc6ek1cKmZmZn7lV37lXuy1ZKhIFYYFrbxO8WDZInLg3IY5nVi/5XRCmjnGEsH1Oa5J9tjhliNux1jzLv19d2ckxdFT2lAqLlUOYrmVMM7p2IjyOSPe5vL7T/9f/tHnvKek9R7/8+f9ev6DHQ/u6w/XbZtuqLQUFcgyVNYwSUko0kIdmNaPNWeRJRfcf8VpNcgH2u/QUlGfsBctWxKMjST3i8BUX1rmgAO7OZ3YgO3pyLcUm0pNxY5c0IKENc74y6lzwaOecJo0m0KW8I6pmkpdpWZiJ3BgipqzXrjPRVP7oUu7kQNDHVjWiALOHjkbZvcGVQPyTJm1ecTtuFSU4EHP3f/AH/qwmxSUZpsnXJuzUdRM0JeJuYBtdpU1jKIu0bZdkyG4YiSZ1XuNPqDfBRzuxBziBx8jqcGBfOvFHvm9Pphvwr1dB6Zk8v2yRkmzqFXUiil5AgfO9+pZXVKBA7tBAkcQxUkapcK+S5Mt1kzbkaVPj6Gw1jmSjKl6GRKSB/2wAT0DqVhpbIqaiSrv91v+7h/42HMezGu/0dc/5I9/zB97mDIttg0a6bpyU1lJsJ0uamVKfeVYy40kBdINjb4Jjrrs1G2LIQWpoJPTCZ3PGJRbEqvKBPvbMMGl+4ADI3Puc2B/mGlHDgy+bIm8TlmjqJnVM6LFdfPr685Spj4M7dBOPb9jak81fPXyWRma5lobZ1wyQ4I6e1pKfdmEcfjJkQOHQWiyaDMuG5k2b33JbTfZosKj/quPXL110h4Tlt1adHvKbkE7xCTGd9Fky2TwpKsJwpRguNpQ7snGHaC/Gfdyjvy9fQYe4hA/6Li3z8CUinpFvawZ1j41980hK9bN2xZmTYncOBvTDhLhPe3nCrU1YkasLQVtIzqRA8eRQzIxYSLLWC4EDCViLzRsPBa0bO0H2S65ePS+z/hI/bnKXqua0V+y8rAn3+ELuQc6cU+/HhP2GsrKsf9ZCNsbFTJ3ODAZOrFpJllyy/KO6bDlU9DO6oX11OD1Ii8GQqWiDnC0H/geOXAor1O4iwN1tBSaSg3lluJIoqA9GY3A63EZaIer5ifWzaJvixVWbZjfNrVnsqZaV5Glw02nXTZPKobpHtSBeZ2Kul3qYMotR23Gv5dZ89aPuG2NJvM87n94XwyKmDRnY9p2iLxPhduZccyfsGnatuS+Rd26DXObZoIA5UU/R/eyNuLePgMPcYgfdNzbnZik4MtSVi9rlDXiwmGSCevm7cSEoJxuRi9pHJRyB325qj07bLNNTcI4SgH7jGIebUdecZ8DB4qaQZARtAUjqZRhUTuWN2lO+IK3/8XocS8wKVUcVtSPuXHeM2/wzBNHfsgtOjTUVeoHHJhU0Jm0uzExFxP5RsbJRJQX5ihxxLqFplKobPPaWX37e/9pQzmRBjNShuHJw9ALTe9z4LhTSLSlGEazlnYpcGBpzEiqqF3UWrQ6a1NbFBbWnHJl/dS8dD6Yc7uptjSxWZqbsRXy7mdyWwasO3nuWkxN7FA36Kf7mUzSqKBdUbNLgwxzrjtmmxSTSsXmgrXCXjvmNB43eDT9JY+7QZKqSTtljbx2Ti9lkA1G4L1YV0/bjhlVbdaNNpJrc4s53YH06MWIZDxKjMeJb/+YiNEr4aTNzc3/8l/+yxNPPNHr9X7jN37jZT333j4DD3GI7wrCeOmlYPBKfvyVK1c+//nPz8zM/PZv//bLfe69fRd6hwMbQQIfpHHhmrpu3i4jcvLaoRE6kgybkyGSNrk1CikR7X4QCmS093c++3qyYfUx0lSanoq6Euk7Nidpg7xO9KcpcNKTHvZ0zJ0P6opUY3jc9TMuWabCkJaGcl3FBKVguN2dPFgNxchYchw6fgWm9Saz26YGw7S0gnZBJ6MfHFaGoX+aJk+erLR+wmgcx82ZuH06oK2gFTk8cKBCGAm2FYaSBa1Zm8fctEKTAotULLrtIe6jxC43uW7Nwo6pukpDSZ4x2466aZHCPkG1hb3Qgna+17W3/4tads0Ju+RCI3RtwZp1aiQ57S+9ZXN11jY5JpQ08zphAbikVdbQohtfJf5dEg68CG46uurIrqn+a00kjz322Cc/+clPfOITr+C5hxx4iNcBhi+Z3F4iVX73cG+fgUkF7dI3cWCHDNPWLITdETmBLoIdmDEdmW4/0++7xRo1Y+S1FaJee0g31GkTNZUYTpSko6wR+TC4XJI2yOlG0XeFYy4453rc/IgNtIEZW8fccFTMS+ruc2BFEJinh4Nq6i4OHBqmk0NJGSHiYstMXcWAbFyFTQcOTAXH1ISUWArmZfXThoH2Yx0YZBNNxWIr1oEdOjoKHfm2Qka/oFPUnLOx0F1zgw5zHOcBJU2P8xSbombiuv5cZmt2pmaiqRx/RTVH3LZImd24YTuYSMdqOSyF9pnkhBuOq1Nk1oL1ees294n3Pk96xBVaFCjL66YMU4Z5nQm1GVt26JEKnD8wzRQb7HFD7fjEzemjZY3Ui55e3/EZWK/Xv/zlL//1/3/sscdKpdJL+9HfGvf2GXiIQ7zqeOqpp6an72idPvKRj/zmb/7mrVu3fvVXf/WvP/g//sf/eOrUqe/k5e71MzCUBCXNivqEWly6n2JmnwMTsW2Y0Y/OmYN9fVqNm2wzViyyoC9jgkmSNLU6xa38dE1VSVxB7CpqxV4oSBinDDP6+iSYYMnNMOZqHYgP8tJKWotWHWWWOgMhQKJfyGTK/dDWmyzs3c2BcZ0lNEIn7ZhsKxgfcGA3YxA4MMgUo9tK/mAHqJ80GgU3t8wdDizNNaUYxM5hRz7QYFiXKWjN2QwCDmNO815fq75pJJV8dDTaTEb9+DS2AAAgAElEQVT9R5sVjticnauZqCvHW4OWOevZ6V6vkj0I9hjGjvG+o/mYWU67aTkIBc2ZtzZvI45wJ7jf173BatyYyafiXUyYK07bLjcacZ9mmmMayha5j12GrHDJ5oOzzUpp6kVDdEcvgwPPnz//uc997uA/AsU98MADn/3sZ1/OJ/el4l4/Aw9xiFcZqVRqaurl+eCPRqO9vb16vT4ej3d2dpLJZLVafYnPvbfPwLHMflpDRb00aKrTpaBbza1Z0Ih+kiEcL+QoHOjWQkaSAQtUOSer5xxnxQ3DNRsn5mom5ONSpb6cbpytJcOa6CgV1lYSUeRm1raZmDPR1VKsqyhIG0zbnqjUavMTYZGlrVhXqanMlLfV6asGDgxNxQMTmjwlquomesFfNBc5MH0XBw4CTWciBwZ5eFiJjD4x6FNX1pCOfdF9Dsz1ZIMzTVFrcrgbRIDynHf9oeN/6v0N5Td4+tIHz7bvK/hzbrDNmma7tFeYrKsoxtTBGdvz1m9OHj0IiB9J3XE0D26uR9zMLa9ZNGKKeQvWZm3E9vU097vgnF1SVBS1UgYkEkZ5nVmbwbk0uGh73DUnFlOrq+9cNCTJNlfIaR8vpKf6L/JBeul14CuaRqyvr58/fx7ZbPbMmTOnTp36lkXjt8S9fQYe4hDfFbycu9BXgMXFxe3t7VfyzHt9HjiWNMrrFrUq6sHgbD/dYXHdgpbQSCxo5XQz+lk9TTa4wU1qzPAWfoTzFq0V39rydtEbc9WmuYZS7HwOGUiGhc1kFA0mDRP7LVEFJjSS5ZZi3KjsqqnsmmymSmOJCbUjViwKgXsd+aZSXSUOGHsm3FUHDvRlurLylKloKg2kQ+svhONGyX9KL7DlaL8xmBmEZN/9dPtkvJZ2qauofxMHHnilJYPOY4cN6kzyiD/ywT/zrl3Vo278iP/+wOnnvIUFenGdaDfshZbJMZRp9eetmyQTf2kjibRBQUdzX+t43GWnm52SJNMsmLc+a0udFAsupc5cdUqb3AEHDsckjQvaya2RFdED7a182Ne8acGaH+VDvIExt7nCLfXRxGv1Cf3OcciBh3gd4B6eB97bHDiEjF7kwD0aDKlacWS0mdSJG5UlrbxuTjc/7NhlVbyC5ngTH+THOOk+Fz/iv/pRFumyYdt0WyE6iw32JQvhz5AiLRRao2RSkQoTQvp8fErLnsktMzsm+9JFrUVrFpkgpSvbVGoccODAhJqJKBc0iGaeCpQoxxyLwHJZ3RiOOyIZ0uEz0dAtG0SA7VAKJo3G9v+SPWqqatGZu0VTRz4UgUOphFE+TO126DLr2uSJP/PDX/HInskpO4944t0+N3Vux0nSgrKkdsCBhZh/OGPTVFSTGNy1OdQlQZUTrjqpTpY505ntORsztrTIseSi+246ahBr4MCBSBoWtG3FlSNHeZ/PZD78ZT9UtXd2+aKf5IeZpsktVrxoKzTehb6Ur8Mz8BCHeF3h3j4Dh0KuQ16nEpJrQ3rutFuWbdIjT0VJoxBE9HXx8rkTdQzebfijKW+l6rxnPuwzfoSlaHNSDzHoI/oMSOrJ6YkVV0bKcCTZkVdlirKRZF479jNbtk1vmNs205XP6c3aiK3XjJC/11BSJENfJdil5SJ1dOW68oNsWkk/k+nKjUklhonsOAbEj4ehDRtFgGGhJy2nU9AOpWCMJkoKy0B2Ve2Gl9OkpS3flevLjKSSxnldDRqMmPeM81/xyJX+6ZqJvM5JV9/sq494wn1U6B2IPCpKFEjQNmPb5J0FVxJBkKlPhhlOuumoDsU4DJyzmdgd61DimEvOdmp5iXhnUdQKKz4po0KoVHcYc8bl46f/yAe/5k1ZvYd99QPp/2/y0V1nSMdu7Ytz4PAlc+Ar6oV+JzisAw/xOsD3uBf6neDe5sCBgVTaMBqQ1PbFgbNuOWqboVCeBS+ZsoZdttljwDxv8tzcA1/0tvX8vDHPeLc/e6j4lEUStPRGWWKYUZDbNxWjLXeajKRRX6ahbIY5SlKGU0HikKBp0+y6+U0zLYW0wYztyeyuSbKG0qEdqkgqcmBFLfJnX1euLd9SCJs4wf0ydHSz+hmDWJmMDSUjB46DzKJX0C5qFbQz+smY80uXXVN2w+AucF1wCo1bNcZ3HEox55IzF9zvhoZy0mjW5mmXz3smv9yJ+ewdTaWmUitZDEJHHZN2TIlz1DGkDGPntsC88fHEqsXgFmMuNEI37dKPVeIVp2yRpspknAeGDaS8jvq+yPCsL3j7F7zzgnNjjrv2Dl94j895iJk7nqXfvzjkwEO8DnDYCz3EIQ7xLXFvn4FDA5mkYbSCrYv+5wtuWrYLSkyoqJc1JoJFwh49Spy1fWr6CY9cdrqtoMElp2uXH/SM6X079KG0QXDFDSaze6px7p8iLWHcldtVtShIcvI6i1bNkaZpr19ds7BprqWUMArhJCbJO0iPiaveg2C8W48NjJ6ufEe+raioIz+QThqFu9CMftrAMN6FjoOjVF9ozGT08zolzTCGifKc0InZMW1bLm6oqWspduT7MiEYKL7frjArv+54fyVjXUtxLFHSmrd+0tVTrpgjw0DQMd95I33VsFpQcOBsFIRFklRiuOqWmTiZmDMfRhF7DJnmpGtOqEUn31K6WdRMGySNU4ap4TDaUuZ0l7NPevgpD60MlwcyU3Ye8Nyj/mp+cd0ySVr7xlDf9oN0z04jDu9CD/E6wEvvxLzqvdB7nwPTSeOcXnHc0qRPniNuWVYXrriVRD1wS5QvhVW1Bd7gKQ9dc6KuktW1yTUuO+J2jE8ZkxIdKOpxtrFtOrJoirSxRFNpy6xllikqaR5zwxK56Bq0ZnHDbF15LFHWmLZlkgKiEcYolwwcWNaoqMVpRF9nP1aln8l05YdSKaOMXhxFHHRiougqdXCRTt/hwEYhGDqN9934d8zYVNhXae0ZtZIhRy3IfFOGwQVYUq+YXbUY4sraCgPptEFF44jVZTfNxRF8Vy6mnQXSG+yPVe7iwOCeGDsri247UlMN/5xJbs0GDgxqsjk7U5M3HdWK0uRJu0WttEHCKBkCVYOjZMFNxy4417uRtaYrm9dZcvt+zz/oGScoxr2I718ccuAhXgc47MS8QsR4k1FWN2RuGlHWncndtqQV482q9ibUKmqJxjg+pspJ6zPzLzi9p5oynLZjlVusK2nG952WTfai0Xqo/Uo2zNne58CkoXRdZc38TnnKMiUaTrriJCU6bFq1uGGuoTKUCqHKiepYAePghtiRD7YRZc1KqAPHMVYlcEtLsSs3lAoufXfqwDtj4vFQKhSuxtGPOIq2NHK60dSwx455G8oMqbEbTHXLYTdtJJkYj+P6QUJdedOsTfaC4VJmLJHVnbSzYN2sMEcZSHflWgoKsTIsa5gQy8L9RIaxhByTLFg311QM/5y1Gdx4NUiy6IrTty3pUmbapN2SVgjeSRmFlXcD8lYtXnPSLXZ05RLGE2pLVs647ASTsS59ERxupR3iEIf4lri3z8CxkUTKMA6R29EnYsXSqgXd6HI3ETmwEQvFDPOcdtnpdfMJqvZy292o+GwZScarZkFFfcqObXFYPGHNou39VmFCV3bH1KrF645HDmw67fJSYUWVPpvWLGyYq6kMZHK6E2oT9hQljYfSXbmuXCifSsFvKhct5dvyLcWWQluhJzuWTBvk9LK6mSBNGsSGbTJIkMJ1eiREf5Y0J9Qm1Ita8eI9ZM9kbzc6cdSFt1ZTOaDZqMMaktBW3FONPvNtXbm+dEL0ejQreOyHuM+OQoyVHilpqtypA0NQ3CDkTk8zb9t0Ty60OmdsztiaGNY0o3j3slNrFgyYYEbV7n4vdJQ0CqpfA7I2zd52xAY14fizepP2ltyaLO2Y3V9z//a4h3uh9/YZeIhD/KDj++AMjFHPYYSVYtItSxvm9SMHVtUq6iVNHXHT9yinrDjSVihpxOTkG+yRsGtSM1rfz9icsxEN8IZMW7FkR/RlGmkrbpm9Zfm64+uZucCBp1w566IZRmxpNMsb5vZUu7IZ/bLGhLqilOFQ8g4HDpU0KxpxK62no7AfMV3oyQada043p3tnK21AX9Jw/A0cOM7ol7SqapN2yxoGsXDVYo0F8jTZZtOuqYZyGDmG9xUu9l3ZhnJcAWsJLdOhVFa/olbJ1E2QNZboy3QCp6UZKWoVky35yIEjyRAbHnqbZtVUB9IKcvnOjK1oPRikScuuONXbyxpSUSi0q/aK+3VgwshwnwMzdkzGyrwutHOR05m2vWgtsvSL9hNfeh14uJl9iEN893HYC32FSEgah9JIW8i1NOW2pS0zhtE2YkKtrFHQNiTLFEetpI7sqSaN5myccM0LokHtpJuOqUXl6BG3j1i1Rp0E825ZjnyYoK+hvG5uxdINR287okTXCdfuc9E8CXZYEziwI58yCnrifLKdNhhLRiuKWAc2y3f1QtsKbcX2PgeGOjCrm9cNCt04uBtIGo0lDlZkEkYZ/aJm1d6UnQl7+mTFMeC6o+mbZujH6NJNszXVtkJfJg5CR2HhO91R0Iw6poOubMIoNHVDwzNhPJDuycX80GFwUm7K3UkjHUj3ZKPtYmKqoTSWyKW6k/ambc/Yshvd7PsLmWtOCr4qVVO2q/ZKmoEDk8axDuyRVFexxS5NXfngtZEwLmtO2zIrrB99/+KQAw/xOsChOukVIiltkNHPBtP4cJmfdju0K8cUqKioF7WyekSDdEs2zPdlyxrH3Dw9vOICt0hxwvPuV6fMMSdcOzK8bY0WebvFyd5mVosEKXr2VNcs3rJ8y/KaRRX6jrp11iVHyLAXAiXnd022FRnndEsaYckjVFD9wIFDpWC3cRcHthRaCm35nsxddWCw6+3dxYHjkYRR5K6DOnDS7oytiVHdMCZFy7LlAc86RYpdbrNqx2RTqScbnX9DfBoDaW1aNDRU9oM+k3nduPxZDDLlVE82hIca3cWByZgDF2aGgQN3VTvyCeOSZtXetO1p25EDS25avuZ4qMlVTNm5uw6MvdBQ9tNQtnPAgbnwNZRO60+om2Eq+mJ9Oxz2Qg9xiEN8S9zbZ2BK2A7J6cYlidy+X/0eKCimWqEITIWErwnm7OWqNRMpgxlbp73gaZ5jnWm7J6sXO/dpMyt9YnDWJddYZ8C0K05aZSg2/boa/fKqxRVLty2tmR8WU8YS6+MzXnCUQgzTWje/bbqpOJLM6pW0gokw+jK9OxzYrKjHuuWuOrCj0I914DCnG+x6c7rRE3EoWhIO78hhs3qhDiy02/b2bXCXmaLmEV/xCFM0WeG2bTMNldhODMucI6ng8tSlSV3NxJ5qQ3kgk9avqN3FgYm+zF0c2ClqHXBgMNHoyCtH6+GuXNKopFm1O2Vn2rY9YQnmpmOxFE8yYdLuhFrgwCiw6O8ndQ61FA84MGwXtRSCWVZe2xTTvKhZ4aFLxSEO8VrisA58hUgJFVE+cGBofs5YNx+FEUVljaJmLhSBOarM2jXZky1rLFt5YPy8r3GBJud8znt8jQTHPeDZcy64zjbZ/ViyDfKiuKHLjo3R3G1LqxbXze+alGLLKVeW0rdUaLFpYzS3bbquMoz+7e2CVkYv7HP2ZQJ1RNvF/Xlgd5T7pjowZZDTK+gUtOO77oWCLTGUisufSWmDwLSVcT2mRqdY5CxLdLzVl7yHk4yEhdhNs3WV4N57QGUxHGZImz07pnZM7e0zWFkjXRwo2S9o0zLxiXntglaMixkKjdC2fC+TbSZLDeWBdMqgpFlVm7IzbccefSpuWr5lOeyI5rLdqr2DSj5yYE9szw60FeLGUiPeMjSUG0p9mYx+Lt81zUvNaLgXcciBh3gd4HAe+AqRVogc2NHZL89mbJqLW/YFJY2idlp/JBm4q1/KtBSTRrO2Trvsq3yFa2R5pz/0t1xkgvu8wTPnXHSTBtM86Bnn7TIpuu4O2WPN5nB2zcK6+R1T8tSdcP20K6bp3T1zm+jJhvytINtLGkejwVRUslU0ou9tj7awENOR78uO4l5oN69d0M5rH3DgMGjkh9GtMKOX043ujLWYZuM4D3KCkcf85UNLT3kjeTZYUetP1FTCaymQjZwclSJtdm2Z2TKza7ItnzAuak2oKQdxvkHgwGSYB3aK2rKRA0Ot21EILv0txaFURr+kUbU7HerAWty8venoRn9Oi5TgbFDWKGpn9TIGGX1dGvF9RQ7combQSzeVaiZqqh35pFFF3RSTr/UH9TvAIQce4nWAwzrwFSKtoFXQiXbowQlv2qZZTVKBA1t57ZThQDo4FzaUh5JFzaNunum+4Mt8lT1O2X335B/7kC2WOe9+z5122Tp9lnjE096ovh/sPEeKNttBCL8QXAmVaJvrbZxxySIjtlmNI8GuHLK6BZ2sXsIo7IvEdLSWinqQzwcObO9zYE9mHIUg3eDGW9SKm0AHDdUQ3JWR08uHbmTwUxkxYXw84QFOkHBi+/oH/ZG3MhVp3JaGSnB8if7ziSAN2ZaLIS2jzeSGuS0zLaWxREG7olZItrN6CeOh1DiVCKQXbPOjOHAQDi8XfnhTqS0/lsjqlzWq9qZsJ3bGagyoumXZKh3SYUmoUdIsaIVNoFzQggZlY0dbwRZbQmZBTWXH1LapliLKGtlyL115sdPrHu6F3ttn4CEO8YOOe/sMzChqhaIo1oFFtczElmntyIEFraxeKLeG2VQ7WejKZfRnbJ91yZP8FZeo8B6f8jNXV09Kc7/7MhdPu1xt7UXPtRM86mnnIweeZInSvtJ8y4a5NQsb5k0yZNV9LjpKij1uW7OwY6qtEEaCuZiwORpK9cMILnJg7W4ODOLA4GU2kgzi96J28EHTioYuwVUt+gjnQiuyE38tfdK6xdw1x2tzE46Ap73fn3qc+dittSPsu9RVTFIlJdvsHbGqeofJVx3ZNNtQGkqFsICSZuDAkVTcpxmIf5RQxPRDBE22Ld9UbCod3AhUNCbtztgOhVxI87zlqI0Y9BkK0aJWUbugVQzMX2eXnRi9FuQdwQVvx/SGuQ1zdZWRZElz0u5LTbG+J3diDuvAQ7wOcNgLfWVIJkclrWKIZAnVTtGW6W0zd3FgJ6t34MgSwk8q6kfdTD0z9Fc8TYOH+Tt+38fcZJk3us/FRau2haacZesL88950B5VjnJ0f82yy55eLbtuftVCu1AII8FzLhSW2oo0A3ssbpptKoWRYFjsDLq+wTdwYD2f7EjQC5K8YluhexcHZvUKWtGEvxUVIa1gVRY4MC90SmNSSiJavK1Yumk5qhYveqcvFB9sWYgmovYEz889VXPMkGfHCVctkmKbFSuW1s3XTAykgwy/qBky0kaSw7BNM1DQKegc1IE92e4dz5tCTw453YralJ0ZW7ZokGDGLUu2GJIRKt7A52XNilpp0LQXDzjYyUU+3GXburnbjqxZ2FMd7bvyTMbbmO9LHHLgIV4HuIc58Ht+Bn75y1/+gz/4gxs3bhw7duwXf/EXl5eXMRgM/t2/+3cHj3n88cff+973fquDGxQ1i1q5YfcuDpzZMRU6afLyd61fpgzHEjm9CbX0zYGv8JV9wfhP+/z97/yyt8jykFPFy8dcn7QXM0zGzLrgPhfYpMQcy2Tosk6LHRsT86EjeiJ/Td05F+/3/JNTD7saM0M3lubrKhX1lFGwPEsZjSSGgQPHtIQdyE4i/43zwFzomu7Xga1ycJRpRkVIXWXcSsStoKKiVkEno29EmqIdU5tmR1KK9Lhm4kLtoXNP/cXM4zqCGVzgqB1TjXKpfKQZuPG+oxedpswet9xwbNXikpWQoR0y4bL6SaORxCjcNA32e6GpaHjTk+3IdRRaij3ZnkwYiga/mTkbNmkyYzszvXLgd54XmDynW9AqaU3ZtsHWvn1rQk8u7ojWWHfL0WtOBHvvoVRBeywx/usfne8ffM/vQn/pl36p2+2++93vvnnz5sMPP7yysoJ+v//P/tk/Gwxe9dbvIV6feD27VHzpS19KpVL4xCc+8ZWvfOUzn/nMP/yH/zB865/8k3+Sz387eXPaoKhVClOvdjQL3TLba2Z1KVKQD1ryfauSjH5RK70y8AxP8gIl3m70i8lP+6ldVadMV7bvd2HORhwzBhe2vJuORhnhKUomcrWM/tbkjAwdarbMrFpctXiick3NGS+8wdefPPKwJ1jnptWlxT3VMAbM6Gf1UwZjiYFUpIu2CfWS5nZiOtSBIdShKxcE9al9E7SY2t1kQMGuyZjgnY8cmNNNjMaS5CnFkM28brSKucrX3Hfuwl9UHte6oy1oKW6ZXrF87vgFe9Q86FkPMc9z3NK7nV05snTKlUm7B8s9KaMg0h8Ha+x+KEQ78U316ermcm35IMPvyySNCtpRvtip2Yy/5BVLK5bUSccyPqOf0StqT9s+4nbwdNWPdtoDKQVydFnVWC+/MH+2o1BWJ5HTSb6UG8fX811oOP0wGo22t7dnZmYOvvVv/s2/SSaT73nPe973vvd9rw/jEIe4N/Hq9UJ/9Vd/dWpq6qMf/SgSicTP/MzPTE5O9vv9j3/84//yX/7Lb/mUTmO3pFnS1KDNmIoNs3bokSEvp5M2SBiPSRmWNNM7Ay/wNJfo8Ah/z6/7+Sf80KTdM5UXfsiXT7hatRdXEPfYZmDTrAtcFuINKurTtqP7dYKO5qC0ZmHFETMklLcbb/I1p8mzxQ2ro8Vt06FKyRhk9EJpeqcObJtQK2nE5KZWrAO7cgOZkURy3wx7Qi1sgewz/0ycpxVkcr07ngAZCvqZTPBBG0nos8tlnnHcdZnYRdQQ4kQ3zV53zKk4KnzQcz+UfMJJ+qxw1S1Hw7tIGIel3PBGBIeaMX3p/iByYPA16x7kQBW68kPplGFRezIkSa2xGZdCrznR38zokA9BVO3gClfUmreeXhm4yjYV7ud+SSOnOU2RNZ53cXjfVSd3TPWls3pFrbJmt9v9dh++oeg28KJfP3h3oQH/+T//5//0n/7T5z73uXQ6jXw+/6lPfSp868Mf/vB73/veX/7lXy4UCt/0rFwu9+oc3iG+35HNZr/dt0cv+fZy9N04mpeDV4MDP/nJT/6Lf/EvPvvZz548efKvf/fhhx8eDAZra2t//Vv5TDKOxRr7qcsTNszFkOoshaBw66eMgro8VRu6yQUuUmOJn/Ds2x78H96/Z/K0K4944o2eXrIyoR5XENe4zq66imd5jjXaUoYFrbKGIhmGNGyaW7E0XkjIs+pNvuYNUZbuJjdtmm0qjySThhmDlKGDOlDkwIpGMKEJvdCOQjCrPuiFBlldKN5g0poFNcYUBZPstP44mQhlYUc+eMzkddXZ4BLPWrBmSLsePKeH3VRDZd38dcdvZI5ZYqC6tvd2X3CeFOtctdpb3DTXVAp1dU4vq/9NHKgtrxN0Erp0deSChr0rGyaiRc1p2wvWrbIF5rzgtDUGgpq+qJXRy+iXNHM7XZe5RptzfMjgHemcnnfxfk5R4yJPuzo6uWWmK58yCn3URCLxvfjovgr4nnPgpz/96X/6T//pZz/72XPnzh38587OTrVaTSaT+K3f+q25ubnjx49/r4/kEK9fvJ7zA//BP/gH7Xb7Yx/72JkzZ86cOfPv//2/x+/+7u8eO3bsgx/84Fve8pZf+ZVf+fVf//VwNn4TUoZFrbJ6SDWQYNK6+ejnmZNN9/I6Gf20fk63MGhHQrvKJpO8Teujxd/30WtOFLTvc/G8Z864dMTqpJ2Kum2uudxjRUvRUzRecI1tbYWRVNogjOACa4XVk1uWTbLjIV8/M/mCo3S4yXVrFvdMDGSSRmmDlOE4GLLs14FBEi4V60Atbfm7w/1CYPCkXTs0STDrtiPRGqesohZ8caI/Z9FAOqcX1Og2uWVng2dN29bEdWtDO9SEDIxrTlx2yjIJrnqnL/ghyuxyhWvWLIS1mLCjE+rAyDKjuzhwfx54UAeGhKahZPAOn7V5xG232b3LhWCTJFPKmUawCc3olTXc5gqr5Hgvf98f+lt57SNvvu3v8g7S3OQ5XrBprqWAjEHOty0C3dNead9zDvzqV786Ht8ZmU5NTeEXfuEX3ve+9129erVSqZw/f75UelG7uUMc4p7GeDy+fft2tVp9uR/m7zkHnjp16vRdCGcgTp8+/f73v/+xxx77NkccepuVkCAfQiOmrZuPXcF8WA1pByOZkqZtbnOTTVK8gQ/5Qx96ykNDyXnrJ1056epxN5bdWnJ7frTupsZNT+Karpyv4csucsPGcG7HVEdelpJg8rlnYtXiDcfM0bHcuPU2f+5+ErGReNuRXVNdWRKpWAcaSsVrXUeyMaqohUjdfQ4sfBMHVtQjB7bI/P/s3XewpfldHvjPyfmcm1PH6TDTPVkzGgWEskCDRJAXbIMJJhjZS+Fdlt0q7LW3oESZNVtLtMumjNcuwMa7KxcrDEhCaYSEkIRGM+oJPT2d0+2b08n57B+/9/YMJswgS3Bh7lPzR9/u88495973d57zDc/zqOVLiw5EAbQlFdWcVtyoI6NIHiq2Fywedt0NrjmPC8pqqrjGdcusWDa36MANh645spmdkGHVa33+/vwZczS5zhW3LGwZD3l9Kb1UVAeORl7gwJyWOH06tKM6sCOzG0LYLalNW5tob1qiRpkTzjllmwxTJm0UNDK6Gd2SmiVuUGee9/idhXd91NdldN7u4w/f90XfxDxVLnHF+mCqrtSXiGJF/mx8lbURv/ALvzA9Pf3II4/Mz89/8zd/c632ksH2L2BPb2bvYx9/JXDs2LEnnnhicXHx1q1b6+vrP/VTP/Xyr93TJzBuEJmL1SI5Wa+SWjUbbdnnFTRuy8nTra51llhjxAHeaOm++S95cEdlzM68W3OWZ6zOu3XM5VOe8zRPe4qzWA1v6zc5q7roLM9YbB1oNXJQoEBCQ3HV7HWHhrNxuOJrfMZDFFjjmuFifN1US34oHjlAh/y/RDRUtKOsKrVbB0Gd60wAACAASURBVDa0X8SBSf2sdkltbLRtU5ibBdZSJUFJWTWnFTNsyzbj+bZsUn/e8mnnxm9uOcc1y7Sa8hoG2OSGS1x0o3vouiOLDi46cMu8EnXHqpe/1mccJ8ZNLlvpzq6bbskFJg+BvjGjmBccbl6YB3aiOjAYWvekECy356xYFCniZy1NzT3vlBZlZk1aL2gEXXy8PrTKKiNO+v3pN/wn3/E5r0sYPOzxb/P+N05+2qndzxrXWLGj0pMekXzJ/slXuQ78pm/6ptBKLBaLb3vb2y5fvvzyr93TJ3Af+/jK4C/KpaLVav3Gb/zGo48++vIv2dPqpIRhQTPZ7Ech79lIqK4ZmYUW1IPCuqhui3VR/O0Ud/IWn/faNTMZnTHb85amrE/YXLB0oL/oPB/iEy6H96EDqsoUSXPDZw84zjrTlESZQUktuXWTNx1ctHAod9Oq1/nckYWr1+aOWowKrpUDs4fcSOrFjQIHDm/XgR2qKgd2ogHjbi+0G83QBsFrtKJqc/e1FNxw6IbD6mRCTkY1qx2jI3NbS5HYHrjGs5wR0m9zEzI6TmKelmf4PPMuvfZ4VmvF3JKFe6eeDdz4hod+/189+EN+izUucdXynXPT1vKagckTBrHg1/3iOvA2B7ajUIeudCxSLLbGbM9ZjsryEcc86aGb7YMGzMhMdKatF9Uzuhlttd1f3xinfNijv+vRltx9nj7m8rzlofinH3yjz0QyFCu2F8basgOJxFd0jl6r1T72sY/d/vLgwYOnTp26fv36z/7sz/7xB//Yj/3Y/HxwJTAcDt/73vcePXr0e7/3e1/+t9vTJ3Af+/jK4M/jlba6uvrTP/3Tt//i9a9//fve975MJnPixIk//vDbuzij0eiHfuiHrl279uEPf/jPtR6wp09g3DByDalHJjHLZlfNROLAopJaUT14Ttpme9c5c55HPJl61SXHhuITNhfcWnBr2vq09QO9RZ/l9/h1Vy+a5Vvxv1k35bvG/IcfYdXTff9v0hIPcA/TQkZCV7qqsmR+0cFDlZvWPDR68s2xT/3qiaM+yyJXVO8r7xQrec2M9u06cBiLx2PDwIFjtmV2e6GNF3qhCYO0Xk6rYscGW/Qpu+pIfauoSVGsOCqqB+OWvmRfsqie2B54mj/kKS6x4A1l3i2t6+/xS2/33DU3mj6eN0nZ4umDy2YXHXCQ51j2ep9Lvr7fP5x0latcsnjngUNupPRihkmDhEH8xRzY/K85sL3LgUn9ED84YatUq7nJFlnu9gWvdo0UMxbcmrSe1wx5iepCUK4FTvu0N61fnDJuMBmfsn6/My25o+NXrs7c4QzrrGn0Cs1UPsQJvsSd9OfRRhw/fvyjH/3of/XXs7OzP/zDP/xnXPdjP/ZjZ86c+chHPpLP51/ed4qwp0/gPvbxVwLve9/7fumXfulnf/ZnP/zhD2Nqaurly332dCcmZpgLHNiIhBFL5lfN6JIOXcFaSa2klmgMVGmRYpb7NE/nLzi5o5LXmLVywGL476irnuR3+DVnz6nydW+Ue84/e93/uqOS+bWOT+f9d0dlkr647Tf5JM+LvL0GelJ1hTXTNx0wA856i096iDSrXOa6TRNNueHuj/cFy9AuVeOBA4cvcGCoA8PwLQqvDRw4YtJlxyzSIXM7LDFEro9SeplWx1X+kI/zBfJ8N7/KP5fV/vH8T/gvfNMR+r7Q9wnO2N4au+ngNYevJQ+bp+GO7Svv8FEPgEUuGNxIbJhsy47E4wbh24UX86fVgV3p2243BY1J6xZZpMmE9t3Zxz1imTzz5i1N2shrBu9TNbaoU3I5cexxr/YsqwYSBc3Mcvc+T9/vaYeIRe51tjQUujIvrZH/Ks8D0+n0o48++pGPfOT973//+9///scee+zlX7vPgft4BeDlfwr9snqh/+gf/aMv5zLscQ6MG+W11EWhthVLFlr1nD7ZkCC/U1IrvVg8Mc4d3ON5d62ZwritOcsH3Tzi+p2j88kzfR/lN1y4oMb9J3nMd536tZ/zowOJH/FzP/y1/8Kv8HeRcGXVx/kDzrJCPYT+5TdNLFnoTafkue6NPu1rmaLKFa5aNVNX6ktiJBa5jAVNYNW4LblIMq+hJd+RCTZkQSAfrXfuRIlIlxx3KxLLF9WDniC4a5dV3eAZPsuTNHmUf+7/euT7/13y+4oaP+rnfubEj/oFDpe55XN8kXOuOHbRiefd5Q6SXPCoD3sTFda5wGUrZhsKfYlY1NQd4bY2Iv9iDuxEHBimmim9ktq0dTdZZshBn/PaJ7zKNhWpmd6cpXFboQ7MaUUqzQZFFx1vXs67wo4gs7BlvLZ1p+cdJktHKPvrim2Zkb+qwgj7HLiPVwT2cyO+PMQMc4EDW9FSaGQ1OSQvm2mXVUM7NHKRCV3QE27mDi5a6EkF5XUo/0455/N8hA9YvKjBa4/xy/7HxM//Z39zy3hSf9LGa33+HxR/yf/Bt5TIubntMT7DOZapC3ZjS+ZuOmiCLSe2Lr418QnH6XOdyxo7hW2VrvRQPHBgVAf2qBm3KR9Zp+3WgZlQB2Z0S+qpWi8o+mQ46JITViJxYEktpDJldCqqydW+szzOGdo8yD/0z/3Yf/Ztz7urpFb+UvVH+z/3fXf8O38Dk7a2neEpt3YWzjl11t3LlTljrHiHjx2657o7aHOZC7aa4zvKXWliMaOYEaOIA5tympIMX6gDe9KB9lN6FdWp4bpF1khx0me9/tbmAW0mLbg1a2XMdohJzI+attmgQdklx4NpjaaBxCgI/7ccdt0RxonRoKqm1JKLXEz/amKfA/fxCsAedmra0xwYN4o4sE2aKbcsRBkBeWXV3ei5ZiSZH+ew/uHETQdqSim9cVsLbt3h6unRufjjQx/m/1N7XIIH7+E/ef+bv+2MBw5YPO25lN55d1527A6Xv6fyK36RbymJjznX8Uk+z3lWNXqFbeMrZq87ZJ4+Z73T73qYPLe4xA0bplpyA8mR2FAiss3uUzdhS4HY7Tow15EOe6QZ7ZKadZHBZklnIXPRCRvRUmjohQYrzkKj4SJP8CSb3Mf3+bXKd33MOxoKkb1AlTP+lvf7fl5dIOkST3HG0+5/xr1n3W2BrnuqZ7/Jb3mIDDe4EDV1W/KDF+6TWDDJjurA1Asc2JXpSe0yeadi2wq32KLMvT7ndS4yYtq8pWlrFdV8yJ+oscEaDcZccNIFVukaikfZvQPT1seLW+Yo0KMeODD/0hy4h3Mj9vQJ3Mc+/tpjT5/AWODAkJ2QY2ZXKh6noGynvJs/LrZrdH3QooPbxgcSZbU5y8dcudtZn+ej/JbOZw2Y+0Z+3b97zff9rnfe4cqjPvRqX0jpPelVv+ctiw7c7ez3Hv73fo7vQtqFrs/wOJdYtm5qxewNhwcLCTlueoePeTMH2OIyV230J+uKXamh+OB2dMSAhgmbirtSiYZ+N9mVCRwYLcQEDuww4aIT1fWyHTKUlVQLGgX1CZuu8jRPcJV5vtfz33LnB72roXjShTudT+uaouKw6/fe/4zv53RRlws8ofNc5in3P+OeyO7trHf5kLcxzwaXuGzNTAiFf6HfGDiwLX+7Dow08pmeZNjSzGqP27bMMg2m1U8WH/eI6yTFpkezlidsllXzGoWw07uy++ApzzvlAhv0DSRa8irk5DUOuOkwk8RpGzbjzZdTB+7h/MD9OnAfrwDs14FfHmJGWW1N+hSYtWxejUTgwFpBPaudMJBijFkbmYl1Ux3pjM601aOu3uuZ1BM9H+VDek/oMvb1/LJ/c/8PftTXJQ1e7fE3+IM7nc/q3HToSa8648FtY6/32e+541f977wrJp72NJ/jDJetDGeXzV136KqjJqh5uPXE6SNn3UOX61xi0Y5KsPEchDowMEbgwDKJiAO1hDoweGxW7ETZCQPmnXPKNZoUGFexU1Ybt11uVD3PGS4S5xusff/0L/vBGw4ddOP1PnuPZ4fi7rZ5YmLL+Jv8XuK/H/gejlHjLE96ygNPu/9y6phpVrzFJ+cfWnJvlDzhks5GJgQDDyRG4hETDmjLaQpryV06BoNEP4oB7ue0Jmxajmo5h33Bq2+tLVgja9rajLUJW6GVPWbHKoss0WLeM+51iW0GutI7KuaYkjCcs+w4B8hFi7Xt/V7oPvax17E/D/zyEDNMDXq3EyM20xMrZjVIUVRUy2um9EZi8kzojac2TDUUkgZjto+4fo+zsc+NfIzf5XGpmNJb+D/98tzf+z1vTusecfWIa7NWxm2VVLE1GD/r9LPu7ci8zcf/7sKv+Cd8PT3R5O2ZyFj6usNXguNYnKd8o9/2BvKscolrQiB7XyqIGKK3u5YJm+lcVyqKENQU6sDgsTluyxpbxDnsrNNuRobTJozbGrM1Y9U1znKOJnfzD/wLP/wpb85pP+DM63z+hEsNhSc89FHvOOv0Yde/w6/7n3iUKW5xVuf5zNPue9bdjtJXuND4Jv/FG1/0Km4Ikv9gyB1tug5DHdh6MQfqui3zL2ika10rbBLjuMe92jmqFEzamLAxZrtiZ9z2VFgfvWYtlGFHXd8+7KqQO99QWDFzPX54JTnbl5i25iRHKQsZjB2Z4d6+jf9s7HPgPl4B2K8DvzzEjbTpMKJs2dya6WAfFkxistpxw76kgkElvmmirjgQL6otWDrtueQX+z7GR3maFN/OT/ngfd/wjHtLasddmrE6EmvJJvWnrc1bSie6a4OZp9x31j1p3a/zkbd/zcf9zzxIi2d4knOWW3PXHL3kmDuocM2jPuydLFCPtkO3u+NVpY50X6onJQXasq12xbb0Lge2dKUDexTVEzuDaCEmx0nPuscKMcaVUzsTNqdsTLQ3XeJ5lpjlG33o+Df8tm9cMXvI9Yc8ee/omVyttWHiCa/6lDc97f6U3ut99rsy/8Hf4VUMuMFznnXPM+7dmh5X4IZHfdijHKYlaAVrzVJNsSszkByKi0dWMXlNGSFWfpcDo9XWorp1lkUt3FO+6GFX6VA0bnPMdsX2uM1ZK8nlfvhxbSDjcvKYZ1mmRduGqWuOnHfymiMdmQmb45NbjjFJmr4/0qf907CH08v29Ancxz7+2mNPn8DYbQ6MUbFittXIBdM0BTmttC6xrnQ/l9wxVlPqS2Z15qzc6bzP8wk+zlOM8a38lE+9/k1Pu2/O8n2eOWBxJLZsfsVsjDnLJ51fcEvXteHRJ7zqmiNjtv+2//vV7/iC7+EEqzzLM5x32bFLjt/IHLJAzZt96m2FT7iPBDe4zC3bxltyXalu4MAgEdw2bluWAa2IA0WSgrpNNmhS0T+RPOd0ZDg9adratLVZK65xkRsMeQ3f7dd9x3l3ZbTvdP60s27QtmrmOae/5MHzTrbkDlj8er/7uiOf9XamI66u3yyedfdzTge/0Df6/TeM/74HyEQOqJbsGGvJhnHfbQ7MaSWT/cgytEvPUAIZnbKaNdZoUdG4o3DGg5aizzJjdkIFOGOtvFV1gYssieOQs+62SI8RNdcdPufUc05fc7gtW1Y94qqjTJMPt0js5Wrk9+ROzH4duI9XAPZ7oV8e4oahwAiJEStmI/uwVEjPbSf1h+Jt2ZpSTbEjk9KbsHncpdTTPY/xcc6S49v5SR84+p7HPTxl41W+dNL5tN6GyWsOr5qJGc5aOenCUVfk2HTO6Wfdu276Tue/03/0I3wzZZY5y1kXnLzg5Hl3OkpC4unBu/22NzLJOleiRmJDoSPTlZEWrYbuGLcpFw3WdutAab0oyiIEJM54xj3n3alBnmmzVmetLrjlGteoM8e7/Gbxm3/fGzsy85ZPuHTE9aAtXDV7zZFrji5ZqClldO723Nf7SObNHad2Rf1XnHP6rLvdQdrUyvo3+JA3MccO17lp00RDIcj/IuPTvsywk9WWfCGdbxCt9bSjkeY6fWY85f5zw1N2hLFtWGaasDlW33Yu6i3ruTPGG1x0XIoDFNmwc6vylAeec/qGQ23ZvOa85bHithmKpAQft7/sW/XLxz4H7uMVgP1e6JeHuIEWXeKBA2ds0SNNVlo3NEJbsg35jgyjip3Drief7vsUj/E0Zd7D+/w/B/7W0+4tqd3vqZPOl1V3lIPxTE0pYVixc9DiYdcnbKJaL59z6oITQ/EHnfne2L/3AzxMgmucMzofu+DO591Vny8a47p3+Jh3cpJWFKXUquZqykH9EJmODqnuroaKhmk9qRiR5n0zCvF10DPubS3n9Kkwa9bynKWp9rrrrJLhAe13Z3/Hu687XLZz2LXDrsc3h4YUrJlaN71tbEelrtiTHrf1oC+9ye95iFna3HLRieecWq1Mm+SWN/uUr+cUA5ZYtG6qphRU8JKiBdewGpra3RTtGYmH0MUx29FIM8khZzzgAu0Xr/XszFh1had5hhrH+Xa+3ZZxD/F2jrHJGWdbdz/n9E0Hm/IpvXGbM1ZNUSYrqZfSe4k7ab8Xuo997ONPxJ4+gQlDbbokqLwoPTclkRyk9GJGPamObEeWWF7zgMXc5Zbf5zGeIcF7+Kf+TeYHv+jhcVv3euYuzxc1GgqrZjZMtuSG4jHDtG54b56xokjLNYefd9ctCzmtt/nE15z8A9/CCepc5Xnn3XnOXc+7M4wB728//erZxz1CmjWus2TbWEOhLSsrWiKpm7CpJFLNt/WkGKV1C8OGbZpkOLbbGAxpe8X6nOUFS9EKZZODvNlve/fjXj0cxBcsHXV11ooWWc1Mfst4Q6En1ZNqKtQVYkYHLT7kSY9wnCQ7tqtjUUF7gLYHfOm1Y5/3GoqiOKo1OyrB002aJCM6uyNBEXuECIeCRrLWt06NAieccb/roKKYro/ZnrCVWu+FQFw3mOFv8E9cfePRjM4jR77gB3kd7WgA+7y7bjlQVxyJBR+dRHmgQl5WJ/OS2Ul7uBe6p0/gPvbx1x57+gQmbteBCcasmQ67glIyOiExpy8Z7Fiy2tPWM1c6Ps/v8SRx3s4/9StT3/MlD+Y17/fUvZ4tj6pV5SXzGya7Mkn9pP5ILLhWl1XnLZezVSmbJq+446ITW8aOuPYNPuhv88ZdcrisdyV13p3Puyu0Q13wTh/2FqZpsMgtYVOnJS8XGW9rmbClIkoR7OpLxo0yIQV+hx4lTjrnlLXIH2DW8pzlKJJ2hzT38g6f8qYbDmcT7UOuH3SzErJ2x6yZrimFONu4YVumqtxQyGscc+nI5FX3ME6XZVfdccHJzlxGUmmj/haPeSMLtFkNHDjWlI/SFMNyT1deQ1Y0IRxAWOuxJQp+muRuz7rHKlmmTFmbsDll3Q0ucpU+b+B/8F/u+eYP+oYZq9/h19/4qk97N1ku8pSl2sJNB3ZUutIpvULIGK5IpXs5razWS9xJe5gD93uh+3gFYH8e+OUhYRAJ5BOM73LggJS0bsKA2EBiKJ7UG7dVXKv7Ip/mCeq8hf/Fv638wKe8qaBxv6ce8FSpWWvG8tccuelgWy74smR0utINxY5MRid4bBsz6CeWLFx04oZDSf37PPPO3O96NyHD4xaXhXZodaaswpo3+1TyrX0niLHKLeumqioNeXlyJGkbt2k8yuXV05eMGWZCfEIDTHKXy44HPYFpc1bmrEwP1qzRZYrX+mLl4Wfc25SfsnbY9TnLGR1Zpq2ZbsonDQoaGe2+VFV529hIfNravZ5xPwuk2LbowGXHrjqqwrbX+MPKgztOEmeHdaGkbN2uZuP0FDTld8vCkZhRiM61yQ4jFrjPeXepUWLGjNUp6zNW3eA6VWZ5j/84/nf+g+98yv1zVt7lQz/g356454JZlnmeC244vGGyoTASy+gU1QqJRnAJyr0kB+5h7HPgPl4B+Cp7Zv+3YE9zYFJfI+LARrqwbkqdYcSBySjZPBY3KKmXtmue4TP8Idvcy4/4zXu+5RPePpC431OPeLxS3RF3zZGLjq+bCsw5Zjul15TfMtZQjBtOWTvo5rRVcdvGrjlyxR1V5UkbX+vTCw/e8giTVLnpsmMXnLzghFl6XuXJt/u4Bymzw4pONbNtrK7YS6fkSdMzZts42Wi/5LZZaJDMh3Sh5fLcDQe1KYWFmJUZK5FsIs1RXu+zXrfoYMJg3tIBi5M2Y4bKVuMzq6a70hntip2CxlCsprRusimf1zzu0tzUsjso0bLZn7juyFVHTNF32nOv9wfupUSbLeEltORkyUYjwbyGAmlijMQNMzolNdsiGecxZzyw0pzVZYJ5c1ZmrY53ttzatRK925k7Hni/v/lZX7NidsLmXfXn3+M33+13HN8VmlxwfXR41UxVuS+ZNChohsiQonoh+tjwp2PfK20f+9jHn4g9fQKTeiGqQcqm8XXTUYhSWlonoR83ShjktKeG687xBb7ADY7zfT788Dvf79uaciddeI0/PNS8oWc7O3bOqbBkWFadsl5WjRvWFTdNVJVGYmO2FyzOW87G2x2ZZfPXHVk1i1Oef4tPeqOo0lvnmsuOX3TCITKmqutf69NeywE6UdLdlvGaUkNBkQwDFTsmKBBnKBilpXS16ZFjwUXHN/uTBlSYNm112pot2lS4y9nS3U+7r6ZU0Fhwa85ySa0vWUsVl8yvmwrBQ+M2S2qoK66b2lGOGx2weJdzTjLFkG23LNxwqD+RlHTIzYc84UGmQNWgkWjc7uhmBafQvGb0ihLEJA0iYcQOXYrc6Wn3WQLTgQOXZi1b3lVOTPOwj3n757w+VOZ5DddVnt15u4+7hxhLXOKKJQubJtpyyGoX1G8HSL7EnbSHe6F7+gTuYx9/7bGnT2BKP+LAtA2TkUAeGRndlF5SL6s9ZstVvsQfcpkif9uN7zr4H33XNUePuvoaX7ire94GE86787yT28ZCSsSU9YLGSLymtGW8rjiQKKnNWJ2zXFYdiW0Zv2Xhlvma4qT1B3xp6vS6+ynTYsk1Ry45Xh0vGWPdQ570NZwkSTVqJFaVa0qK5KGkZoKSsFe5y4E93Sgp0QFXHY18Vsbk8s0p65M2o7f7We7xpAevumMgERLbp2zktNqy66aWzG+ZGIkV1SZtVlTjRk35DZNbxnuSEzaPuZxfaJonScOqmVsWls3KK3brpz3nAQ6QpkVNXaEpJ0eONCN5LUVypEhI6me1M72OepR86LSzTtsgzazZ5Mq8pXnLVqmR4gSv9YSHVrqzukJerxoXvM7n86eaUTl9hcuuO7RqNvyO0roFzaJaSa2s9hJ30h6uA/d7oft4BeDl90KHX90n8sexxzmwp0aPjHXT66a0iJOV1U7rZnXKdsZaO87xBM8R500GP5L4V37orLvLdh7y5EOecIukq7Gjzzl108EQvz5hMzRCe5J1xZpSU34gkdEZsz1tdcx2Wrcpv2bqloUNkyn9I6494gseZp44G5YHc1cdveaoadrudP7u0rPuoRg1EgMHVpWUImV3UT1Z7itHm6JB6J000CdOhYNuOqgeaeombU7YrNjRJsVB3RPpc06tmkkYTNictVKxndRrKqyZXja7rRKjpD5ho2wnod+W3TK+ZbwtW1Q/6OZxlxwkR8+miRWzq2aUaTrq2sn0BUd2QxqamvKtMNXMCw4x2cCBocGbkNLLaUft3CSzRqdiF5yM9I1zFtwK9ap1BkzygLOF09cc1YsWXCDGlum1tdf6vMMMuclF6/XpWxZCKFXCIKtVVC+plVX/Uu/T/ybsc+A+XgF4+TsxL52I/RXGXwUOHJC3YiYKc0+Sk9PMaxbVZ6y5wlM8yxYP8AN+0T/8hLcnDE577iFPTG5tBLH28+665HhVOa1bsTNmO68VBBYtuaZ8R7YvGRb8J2yO28xr9iWrKqtm1kx3pMdt3e3ZmQOrjlGgwYobDl1z2BxxC2495An3M8WIqp1hZUelqqxMkYSC5ritoHALTl8xo4RB0BcYZ8GyOR3SjAWb0O2Smj55DnveXdccrSpntcdtTtooqceNakprpsNSaMywqDZhq2InadCR2Ta2Zbwpn9GdsXrE1fx4Q4mhqvK6qTXTg0LCwGzw2jnCWKSEaMm1ZOXIC+ugGR1FClF3NK2bfXHOx0J4kkd0KTNr3q15S4mNwQsjzUec8cC2ioKQKDgQVyTOktf4vAeFkEZXuOi6wxummnIxw6xOQaOkGq3C/hnY74XuYx/7+BOxp09gWjdagilZNhf5jqQpKGoU1cdt5beazoscJqf4Nk987UO/5ZtXTR915VWePOU5m5RcTxy+4OSK2aF4Ub1iJ6+Z0B9I9KS60j2pXjC3Jq1bVh23VVKLG7TkNkyFdPiU3lHX7vW0u4QNEltuOXDDoZXErKx8p3m3s+7fbSQ22PFHODApqzVmyxi5F34JkedXhgnmrJvSI0tZxXYIioIyh11ybMlcWzanOW5r3FZOa0RVad1UWKFMGBTVx2yVVZN6vd3V0KZC3GDM9kE3D1hUIa4pv2180+SOCsZtHXXFESZI0NOWbd/uhWZJSusq7HJgWlonq63NgBKHXHR82TxUFAu1OctzVmzQZpzTlg7Nn3NqIDlj9bBrU9aHEiaYoOtBZ7yJuxhyiwvat7IrZutKI/GUbkGjpFax/VK30t4lwf06cB+vBAxf9tH6iz6Be5oDU2EnJsa4W7cT5HOUlVXHbc9YdZlzXCXN63S/L/0rvueCk2W1ez1zn6eTqwMj/dnkBSdvOFhXzOhU7BTVg9VakJCHwPcQctSXDNGFwdo5o9uX3FZZN7VlbCA5Ze2kC7E7RxZIULdqZtGBJfNKdBx36UTmosMU6FJXVa6qKFMiLaszZieovEPyT5TSHifLhEahsGPMKOLAsmpBPd4bBruAarl83eFNE2HrZcx2RTWjM5SoKm+Y3DbWlksYFDQqdkpqKf2+ZF2pqtyQjxmV1CLB4RhJ/X6yqrRlrKosKezZOMSkEGHblWnLDFKJ2yKPlL48BUH6mNHJ6uiACodcdXTTRJB3zlqdtTJj9QXZxAO+6KFrjqT0Drp5zOVZKyMxs1EyxB2u3HHssje+ZirrNAAAIABJREFU4G7qspXB7LaxnmSImiqpjb00B+5d7HPgPl4J2LviiD3NgbHeKFqxn7LoQLQgUpDJdsZsTVk7YNElLlLlJN/q3/veT3nzUPwOV+7z9HGXNSkHf+tjGyaJhQlSVjv4bXdkhhJxo4ShXdF92LoITFvQYFRX3DAZfGWK6oddv9N5h8nTsWFy2dySOWMMHXDrLs87SiXKzY3mgaEOTEd1pjFBXxczGomF3Uo5xq2brAU3tax4flhUz2vpRePBRQtL5mvKI/IaZdWiekqvL1lT3jJeVenIBJYoqxY1knoDyYZCGHuOxHNaU9ZnrWSzbRl6GorR80zJ6MxYHcttm4p0jKFabstEpWBSInBgMeqOZnQyOvqRntNBiw40BoXQzp2KYgM3o+SPI+rHis+6Z9VMXvOgm3e4MmdlxEps1ikOK9t5s9/zLu4lzTJXuCmYG8QNs1oltfF9DtzHPvY29q5Ifk9zoJ5g+2XWTQftkKQsjL/mrLjOFZYp8Bar75z5oHffcGja2inP3eV8od6QNJhJXHT8poNt2aCXC0VgVyr4f43Egu1kzKgvGYwx44ahkRiKqLbctrENkzXFlP6M1WMuOUKZkV4jtWpmxWw1UZI0af0Ol93BZJQXHwqwTiYT6sBksMeuUIg4EMPAgXlBPtiSFyenoFHQzGobkGHcirk1My25uFGYi4a+bk+yprRtrKbYlUoY5LSCgi6lNxBvydUVm/ID8YzuuK0p62O2g2KjJVdTqitKiw+HE7ZmrZiIhpb9qGmciSSCaQkDWQrkxdKjjE5aJ5gYmGTBqtnoNzhmyvqk9dKgpkeROzzj3jCeLaovWDzs+rRVYitmz6dOXs8eHko85IlXLTzpTRzctd65qdEqtOSIZXWKwTPmJbB3e6F7+wTuYx9/3bG3P4X2dg1RDloMS5KZ8G66EbL+3GCRFsf5Fv/Ztz7l/qH4UVdOOXfIDQ0qrjly1R3rpmOEt8ywf9iSC3EIjDI6A/1dE+5cwiCll9cct12x3ZQLw7RNEzsqYcvkiOsHkouLkweCJHy9MLVqZstEOV0rqx1ywxGm2aYrFGA1pUyxg6RBQV35BQ4chYTaFDkqdpQ7MuJkBCuUtK5h9BNYM71pvCOT0s1pFTRyWgnDnlRNsarcVAiBChntgkZY9BmJt2WD5dlQIqVXVg3rpsuZOQNt2YZCU2GYjMf7w1K8OmX9+fG7LIcQj0RPqnObA1PihrJCazSrndFN6wUBp0mriZkNk9F+zJgJm+O2IhlDRfdg+nl33nKgIzttbc7ygluTNofiq6ab8kFqeIerb/WJJ9/5Kmt8Yde/dF3zUH4ontYpqidqA6U/+0766n4KrdVqn/nMZy5dupTP59/61rcePXr05V+7z4H7eCXg5X8K/XJ6oR/4wAd+8Rd/8cKFC4899tj999//m7/5my//2r19AnsMGLeWnb5lQVPIi5+yNmtlurvmJlvkeMTTx+/7hLetm6rYPuHicZdLnRqapfwVR286UFNM61TsVOykdQeSdcW6Yli0z2nltBIGfcmmfBBJZLUrtsdtFzSH4g3FLeM7xnqSec15tw67bipS0G2ZWDe1aXyQTuS0Zq0sJBZNR1GvTfkgvwii8jCpUyZP6jYHJqTJU1JX7ElJREKQjHYq0EtWP5/cNB4cU4JFQE4roxMWXBsKdaWWXF8yGLcECk3qD8U6Mi25tuxAImFQ1BizXVKVZaQr3ZJrBm9su8urYXEnYSge9odkIg6MGckIaomsdlonpRvNMCesmNlWCWu9ldjOuK0xO1okmHDF0Svu2DA5EC+rTVufsVa2MxDfMHXJ8YtObpicsPmwL745+UmvYZIuG2xoKAzE07pFjb/0Vuh3f/d3f/CDH/z5n//5X/3VX/3H//gf/8t/+S9f/rV7+1PoPvbxlcFfXC90aWnpwIEDL//xe5sDB8SZdtXR7lY6cpKeNGN11oolVumzwFt8xNc9474R85aPuXLQTU2yFh245si6qZ5UiBwoqyUMOtKh73dbDFHQSOr3JZsKIW7h9nZoUT1m1JLbNrat0pZN6U1bO+CmWfL07Khsmtgy3pBP6U3aOOCWGXIMo5qzrhg4MG6Y04rkgikxo8Aw0uQEI86+hGRYoGlHHuExMsJuZ0OxL5E0yGjntNO6gQOb8g2FtkxguYxuTjtkLY7EutJt2Y7MQCJukNt1HEsleuhJheXPwIFZrbId5YgDw85QTypkVw0SCWFvKXe7DuykwpPMMmHddF3JiLygRCmrRmqPKTccXnSgphQzKqmGKrGgOZDcNH7d4WuOrJvM6Jxw6Wv8QfnuqkMkBVvxltxAIqVX0HhJacRfAC5fvvyOd7zj5MmTTz755M///M+//Av3OXAfrwT8OQIEb9y48ff//t+//fXDDz/83ve+98yZM+95z3v++KM/9KEPnTp1CvPz8z/90z+9uLj44z/+4z/zMz/zkz/5ky/zme3tExgmS/OuOmqNYeQaFnHgKjvkuMvG/ROf99ol80WNA24ecn3aWqghbzh408EdlbAJOWa7oD6QbMlVleuKyGtmtQcSXemGQksaRfWiRklt3GZZdcVsR6aqsm2sJTdue9zWvKXp2NpacVpHcJoJyoOyasXOnKWIA0dRm7GuqPAiDixGOzHB+DTiwCx5oV0pES3QpPQSBoFeduX8uaF4wiCjE1WJ9COhY64bLfoMU7qZXQodiYVmZlj6iRuFXmJBI6PTi6XCLLQj05MSk9EtqmdT7XY2G+6UsDcrTTrkPUnp9bKpwIFp3aR+mGEat2miGVxx8sqqYbVVn1xYclpYNdOWDZZngSGT+j3JHZVlc0n9ebdihrPWH3DmIV/85LG3WqRDI/x84mndvMbLkMj/OU5gPp9/+OGHb399/PhxnD59+tOf/vQff/Ts7Gz4Qy6Xe/jhhx9++OHJycl3vetdf11O4D728ReOycnJ9773vf/VX6bT6YMHD/5pl4xGo1gsFv589erVqampl//t9vYJHJIPrmFHbEVJuvl8Y9rajDWbdJnmfp/xhufd1ZI7YPGAxXlLxWFdwqaJmw4um2vJlVVLahU7Oa2qclN+R6WhkNdM6RXV+5LBh6upMBIbk4kbFHTGbZXtpPSacjWlcNVQLFiqzVhdK09bE/6HwVs6LGpOWzNFgZiOTEu+oRBcVWJGWe1IVZAUYyjel5Aiq5dMdWWG4i/mwHjgwIyGfEOxIxsya9O6ad2kUMglbxdyt/3XMroZ3YRB4MCudFd6IB7b7ZTmNdM6FMOngI504MAwEc1rtjMRB4aEKWkyelIjsaR+GA9mdNK6idscOGbLWFtWnIJQbRY0Q2u0mi4vm9sy3pdM6xXVS6oFjYF4T7qqvGkyqV9TGomXVY+7fI9nP3n8rZ4V7PNGvdgoFUvpFTRf0i70z9OJ+XKmET/4gz/YbrePHDmyuLj4gQ984F//63/98q/d2ydwH/v4yuCrGyT/vve977HHHrt58+axY8d+4id+4s81kd/zJ7DEYdcdjlzDxk1bn7Y2YSOSDh7kQU961bL5mNGU9XlLUzZCI3TN9JKF0AjN6FRUK6pZnS3JhkJVuSMbCpiCxkByU28oEdYm27Ixo3ykvttJ6wwl6oohhW8gkdecsjFtVeUeG4adeC1TrkYMGc9pTdqYtL5RmDIQrGga8q1YLpduxYwC/zRz+bATMxQf7NJLR6YrNUKCpKReUj9uJEZKS74p15EeiYXdnbRe0iAUaW3ZtkxPMnBgUj+QZIia6kv2pPtSA4kYYaUmWriJCa3OnlRfUizy/8xrbmYmdhd34oPdDm1PSuDATMSBUbEaJ6caL1WVu9IS0sluUa2ontWGgg2T66ZqyrtBSPWSelY79GnrijvKKb2W3FAspzVn6ZjLjjBFh2FYoo1+hpGL7F8eFhYWvvM7v/PLu3bPn8B97OMrgH1txJeHGGOGB+KLDkQr9hMmrU/YLPYbOuQ4aml67nl3VZUzOlPWZqyO2dYzzMXXTK+Y3TE2FM/qlFSLamndXYPQclNuJJbWLaoX1FN6Q/GmXEOxLYusdlijyWoPxZvyNeUwLczojNmatl5M1CVoqylWlQJDZnTGbU3YVCBh1I+1ZJvyTbngEZrWzWsGw5XAgVEdmNaR7ksSkyAlqZ8wiBmKBw7MtmV70ogbpPRSei9OFO7K9KWGkQdpf7eMHI7oSwY7nKF4zCiln9XJaqf1xEItmgwcOIrFbjdagx0ooxGDsLya0pMaisUNAm/v1oFDCXKCR3hY6wnqjYJGVluMog2ToVMa6uGiRl4j3h+iLdNQaCi0I9lKPKU3bnve0kLslqloOHk7piKv+TLiA/e1EfvYxz7+JOztExhn0g2Hls1FPpkTgtF1lExQ5phzTt90KKy8TNmYtFHQMFJTWjO1bqquECPoqYsaSf2edBArtHY5sKBZ0EjrDiMRXaEtNxLL6IbhXk6bSEEXFBVBWzBpvWJHKtKY15TqCn3JlF5FddxWUD/o68i25NpyoRea1s1pBQ4k2roMHNiLOJBEyGMYJAxiRmIG8UQY2fUlR2IJw6R+IEmEZmZXOvxr3DBpEKSPtyOHgx/cUBxJ/bROKOFuc2BfciARLk/rZnRDLMQLAo5ExIHhCQQOTN+uAxPk1JTDvpGknFZRo6CZ1hWnaNP4jkpbJlhfFzSCA8BQPAxO23JdqfAkww7thK1pq1HgVDq41PSy2jmtyJnmz8LLD47Yd6nYxz5eSdjbJzDBtJsOrpsyosi4cdtlNW2STHCHS46tm0JRfTxEQfR7YpFz5pbxllx8Vy2e1wxLoUEY0ZYdiaX18hoFzZTeUKwt11RoyY7EUrol9YqdnGbcMLxDNxS7MkFbMG6rYjsk4zbla0pNhZ5k0qCoNmbnRRyYiWynU5DWy2pH4XsRByZHiZiU/m6dFjgwYRA3jCHm9kAvkGQQASb144a80MwcSIzEgw93Sj88YMRAYiA5iDgwVIm9aJcl5rZb3G0OTOmlX8SBgp1bwoue5DDwdlo3FZ5GIlrcCS1lyWBw3shpxvtDce1Udtt4TbknndTLa+U1slqG+pIt+ZZ8V3oogZihAV2FoIUfE9KaUvFeRjunler3XgZv7d06cL8Xuo9XAvZuL3Rvn8Aks26Z3zEWqotstl22k9cIgUoK1vLTNx2sKiX1i9F6YS1Ez+9K2suBr25rybtSYf+zrhDE8indvOZAMq07EgvEGER0Kf2MdvCrjhv2h8lGPHTqMmFaOG67Yid4YwcBREO+J53RKWqUb3PgQEemLduOOHAUypigHrS7E9OXTCV7t+s0cRLiEQeOdkd26cByiBkmDBIvqgNfxIGxmFHcILnLgf4oxcXYHSd2Qys11KIDieCeGsaJKT3JwH27ZjYJkhEHxo3CeDDs5byIAwst+aFEqAMLmjltfZLqitsqdYWBRFovp1nQzOoY6kk15ZpyPUkkDBKGwW43o1vQVIqs2cIYM6el/ZcQOfYVxN4+gfvYx1cGX92dmP8W7O0TmGbWitm6ohQlwf45vF+GFftbuyv2YaZXUito6JNSUw5bmj3JpH54J85q15Q6Mg2FpnzCMCYsQLaC3oxY6DSG7fuEQUGzpBYKSF3NbL4h35FBRrtsp2JHluptn5V8TyqrFdR3tzlwV5uXHSbiMZJ6GR1poZU3lBjscuBAPDCYuFhsFDeMB0ftyLAs2d/lwLhRwiAUivzxZuYoYZjQT/yROjBiOSQMwsJNJLwYGcYSQ/Hh7hMIBCsR7aCAmPgLHMgotCVfWF5NkBUK6aFYPD7MaeWC11v0eyntqLTkd8UNzbxmRgfhs0lbLgg7kvoJfcPw0odpHQVKlBTUw4U6L6ebse/Yu4997ONPwl8BDtwwGflzlZVUg5QhmGebsmJmy3hfKtRdRfWclkEYSRXDe20gt+yunwqjrkxIhA1fhn8diqf0RnSku9IhSzAI+Ypqec2kvr6WXFOhLTsSD9PC8q7PyqCfaCQLTfmudIycViDPZipveJsDM6GNmbrNgXEY7NZgwZEl4sCY/7+9c4+q4rr++Hdm7ps3EUHF+EgxIkaMRBB5+ahBEx8RERNLsLBsbUyaaJTapsY8qq19JFk+QpbGR6ytbUxqrJplYgiKSqii0qDLov2paCBR5Clc7mPuzPn9sWfGq8EfVsFLf5nPwrXmnpk7sz13zuzZ++y9DylATvWFyurKFqTEVDtQvkkH0hmg2IGSgaYTwamWnrZXsfTIjIQMWeA1O5BTDpC0lS1oSpBxHCcwDwQZPAdl9VyjoktlCIAZVJGNgTfAY4XTpulAAyi21qF4oamMTZsgSeCVlwiH8vZB0TweMIAHJYLAAvgDAQhAq1JH3H07d3H39cToOlBHx5d0ax3ITBx6ognBEgTYgEBQfL0SeOFHidj3tSBAVp6mam1pBmbkWhHQggAHLAJkTQea4ALggoke0h4YOcAIj6YDAYgwOWGlUiscZCq5qeheD1zM3MbZHLDS8f5oDcQ1M+dyMTNcaDPYSAcCoEVevXWgFs6iRWzCSA94TTsJ9LwnHQVe0TzKykqqu9Jzo5rytgMlGCgghgHa3hsPEGQIDKS9JIPXXjBoRiDUZX15SneQoS3xzMBxApM0h60AUqTKfCAPj2Bog9UFMwN3w9uHDJjQAn8yxamLbGhTVBkPByx2+LlggfqjGKlKquKQ5TgDY/4cLSZ1/X3H3OGtpHtidHR8if4Weke4YK5Dj1b4c2D09m9DGxUFgwHwg+QvNCOQlhAwK6lubWZ1ZqkVfq0I8H4SW+A0yBKul80kk4wZ4DFr4ZEAFVNRlZUyE6XoQBlwQtWfAoUsBqDFCgc4wE3JezZK3jOrOhBGkEgumNW8B2aExwQXZ2AUjCJDkMlFqSQCKv80HUhVELyn7KBqOV6xA5ViM1I7GlLiwBggM28zj0JqtNlCRQcycDI49euM1JqmjQHFPFV16XUdqM0HUve6YGagJEOHogMlwAStTCsHZoaTyplCBAQ4YNOyUkxwK0kbDDCC6rsZ4IE/uECmesWdkAE/39yfnYKuA3W+C+izEXeEA9YGhLpgNkKkWSCrWvcSRsAGKvjpgllLNVC9nTSz5G+HH+XR0QPVAidEMHAUnuJWLD3FJKOCYhwgwshEzq3kH8AI0aoUU3FDBlxog1UrSm1DWwBarGgDR6Gh1jbYqMoLpd5bVR1IdiCFdHJgBnUOjZSeBJ7+KPaEA8ju8tKBiv65ri2v60CJY4y7WUNyXnagrJxVhuRl6d1kJUK+2Q7k6IscoIhEYik6UAJP04OqDlTsQBdMTljcMFES/U12IOlAESYeslXTgR7AADtsrfBTf1CXFU4TXFoxbxFGARL8EISmIDQFoMUEF3ggsMNb6fZzI/S3UB2d7xLd+i3UCUszjBIEK9rcQSaz0WWCm4esrLNnUXSR20vLWeE0MTc9NVu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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using Plots\n",
    "# Use the custom color gradient in the contour plot\n",
    "plota_pf = heatmap(0:Nx-1, t, U, fill=true, color=:jet,\n",
    "    xlabel=\"Space index\", ylabel=\"Time index\", title=\"atm mean in Atm domain\", size=(300, 500))\n",
    "Plots.plot(plota_pf)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
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