1
0
Fork 0
mirror of https://github.com/cosmo-sims/monofonIC.git synced 2024-09-19 17:03:45 +02:00
monofonIC/generic.ipynb
2022-05-23 14:53:43 +02:00

599 lines
351 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"from scipy.special import hyp2f1\n",
"\n",
"plt.rcParams['figure.figsize'] = [15, 10]\n",
"\n",
"matplotlib.rcParams.update({'font.size': 22})\n",
"\n",
"matplotlib.rcParams.update({\"axes.facecolor\" : \"white\",\n",
" \"axes.edgecolor\": \"grey\",'axes.edgecolor':'grey', 'axes.labelcolor':'grey',\n",
" 'xtick.color':'grey', 'ytick.color':'grey','text.color':'grey'})\n",
"\n",
"matplotlib.rcParams['text.usetex'] = True\n",
"matplotlib.rcParams['text.latex.preamble'] = r'\\usepackage{amsmath}'"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"growth = np.loadtxt('/home/thomas/generic_cosmo/master/build/GrowthFactors.txt')\n",
"\n",
"skip=500\n",
"a = growth[skip:,0]\n",
"\n",
"D = growth[skip:,1]\n",
"f = growth[skip:,2]\n",
"\n",
"E = growth[skip:,3]\n",
"dotE = growth[skip:,4]\n",
"\n",
"Fa = growth[skip:,5]\n",
"dotFa = growth[skip:,6]\n",
"\n",
"Fb = growth[skip:,7]\n",
"dotFb = growth[skip:,8]\n",
"\n",
"Fc = growth[skip:,9]\n",
"dotFc = growth[skip:,10]\n"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"Ol = 0.6901\n",
"Om =0.3099\n",
"G = Ol/Om\n",
"H0 = 0.67742*100\n",
"\n",
"def E_SRH(D,D0=1.0, G=G):\n",
" return 1./D0**2*(-3./7.*D**2 - 3.*G/1001.*D**5 - 960.*G**2/3556553.*D**8 - 2040.*G**3/52929877.*D**11 - 1038060000./151269407005717. *G**4 *D**14- 85671376080./61566648651326819. *G**5 *D**17 - \\\n",
" 1864100579256192./6062846087823581445961.*G**6*D**20)\n",
"\n",
"def Fa_SRH(D,D0=1.0, G=G):\n",
" return 1./D0**3*(-D**3/3. - 4./825.*G*D**6 - 109./215985.*G**2*D**9 - 15408./200362085.*G**3*D**12 - 46316624./3259690760865.*G**4*D**15 - 4677016576./1584861647932563.*G**5*D**18 - \\\n",
" 330321967776./498174844666802303.*G**6*D**21)\n",
"\n",
"def Fb_SRH(D,D0=1.0, G=G):\n",
" return 1./D0**3*(10*D**3/21. + 538./75075.*G*D**6 + 3581./4849845.*G**2*D**9 + 16644976./148468304985.*G**3*D**12 + 24575717136./1188545340759205.*G**4*D**15 + 11397154716512./2656837684107257343.*G**5*D**18 + \\\n",
" 1348899757328270624./1400517446287247314016991.*G**6*D**21)\n",
"\n",
"def Fc_SRH(D,D0=1.0, G=G):\n",
" return 1./D0**3*(-D**3/7. - 2*G/1001. *D**6 - 320.*G**2/1524237.*D**9- 1700.*G**3/52929877. *D**12 - 69204000.*G**4/11636108231209. *D**15 - 228457002880.*G**5/184699945953980457. *D**18\\\n",
" - 621366859752064.*G**6/2233680137619214216933.*D**21)\n",
"\n",
"\n",
"##################################################################################################################################################################################################################\n",
"\n",
"\n",
"def D_as_a(a):\n",
" return a*np.sqrt(1+G*a**3)*hyp2f1(3./2,5./6.,11./6,-G*a**3)\n",
"a_tab=np.logspace(-6,1,100000)\n",
"D_tab = D_as_a(a_tab) \n",
"dlnD = np.diff(np.log(D_tab)) / np.diff(a_tab)\n",
"\n",
"D_tab /= D_as_a(1)\n",
"\n",
"def a_as_D(D):\n",
" return np.exp(np.interp(np.log(D),np.log(D_tab),np.log(a_tab)))\n",
"\n",
"\n",
"def H(a):\n",
" return H0 * np.sqrt(Om/a+Ol*a**2)\n",
"\n",
"def f_(D_,G=G):\n",
" return (1 - 6.*G/11.* D_**3 + 240.*G**2/2057.*D_**6 - 1200*G**3/47311*D_**9 + 15382080.*G**4/2822243083. *D_**12 - 36723360.*G**5/31044673913.*D_**15 + 126547707648.*G**6/497677167499303.*D_**18)\n",
"\n",
"def dotE_SRH(D_,D0=1.0, G=G):\n",
" return -1./D0*(6./7.*D_ + 15./1001.*G*D_**4 + 7680./3556553.* G**2*D_**7 + 2040./4811807*G**3*D_**10 + 2076120000./21609915286531. *G**4 *D_**13 + 85671376080./3621567567725107.*G**5 *D_**16 + \\\n",
" 37282011585123840./6062846087823581445961.*G**6*D_**19)\n",
"\n",
"def dotFa_SRH(D_,D0=1.0, G=G):\n",
" return -1./D0**2*(D_**2 + 8./275.*G*D_**5 + 327./71995.*G**2*D_**8 + 184896./200362085.*G**3*D_**11 + 46316624./217312717391.*G**4*D_**14 + 28062099456./528287215977521.*G**5*D_**17 + \\\n",
" 990965903328./71167834952400329.*G**6*D_**20)\n",
"\n",
"def dotFb_SRH(D_,D0=1.0, G=G):\n",
" return 1./D0**2*(10./7*D_**2. + 1076./25025.*G*D_**5 + 10743./1616615.*G**2*D_**8 + 66579904./49489434995.*G**3*D_**11 + 73727151408./237709068151841.*G**4*D_**14 +68382928299072./885612561369085781. *G**5*D_**17 + \\\n",
" 1348899757328270624./66691306966059395905571.*G**6*D_**20)\n",
"\n",
"def dotFc_SRH(D_,D0=1.0, G=G):\n",
" return -1./D0**2*(3.*D_**2/7. + 12/1001.*G *D_**5 + 960./508079.*G**2/1524237.*D_**8+ 20400./52929877.*G**3 *D_**11 + 1038060000./11636108231209. *G**4 *D_**14 + 1370742017280./61566648651326819.*G**5*D_**17\\\n",
" + 1864100579256192./319097162517030602419.*G**6*D_**20)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"# cornelius = np.loadtxt('thoma.txt')\n",
"\n",
"# a_cor = cornelius[:,0]\n",
"# D_cor = cornelius[:,1]\n",
"# D0_cor = np.interp(1.0, a_cor , D_cor) "
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"D0 = np.interp(1.0, a , D) \n",
"fact = 1.6660294958398727 #D0_cornelius/D0 \n",
"\n",
"DoD0=D/D0\n",
"\n",
"\n",
"\n",
"# E_th_eds = E_SRH (D,D0,0)\n",
"# Fa_th_eds= Fa_SRH(D,D0,0)\n",
"# Fb_th_eds= Fb_SRH(D,D0,0)\n",
"# Fc_th_eds= Fb_SRH(D,D0,0)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'relative error')"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA6AAAAJfCAYAAABhdrvJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAC/WklEQVR4nOzdd1hcZd7G8e8UYOgMvSSEQBqkAymGRNOtsccedXWN6+6q29zotnHcqtvc4r7KVs3q2ltiDbaYRNNIJx1SKaEMvc/M+8cQ0khMg6Hcn+uaC+a0+R08nnDzPOd5DG63GxEREREREZHOZvR2ASIiIiIiItI3KICKiIiIiIhIl1AAFRERERERkS6hACoiIiIiIiJdQgFUREREREREuoTZ2wX0Rk888YQ7LCzM22WIiIiIiIh4RVFRUZnNZos6frkCaCcICwtj/vz53i5DRERERETEK+x2+96OlqsLroiIiIiIiHQJBVARERERERHpEgqgIiIiIiIi0iUUQEVERERERKRLKICKiIiIiIhIl1AAFRERERERkS6hACoiIiIiIiJdQgFUREREREREuoTZ2wWIiIiIiIjIqTldbuqaW6mrKKahppLGukpqW03EpowhMSLA2+WdNgVQERERERGRTtLa6qS2oYGaFiO1Ta04izfTUl1KS30VzoZqXI1VlGMlN+giaptauWL/7wlpLsHXWYufsw5/Vz3L3SNZ0HQXAJv97iLO0AjAEmc6G2b9k3suTPbmKZ4RBVAREREREZEOtLY6qamtoa6mmkpjKNWNLRgO5mJwFOBsqMbdWAmN1dS4fHkr+BaqG1uYV/4nhjTnYXHVE+iuI4gG8t3JXNv8GADv+T7MCOO+Yz5nhSuN1wwpBFnM3NK6hzBDLU2mQBp846gxBxIcOpoH+w8m2GJmy6Ef4evni9k/lARrf8YMTvDCT+bsKYCKiIiIiEiv1NjUTHVlOXXV5VT4xFHd6MRQvAHfsjxcDVXQVI2hsQp3SyP/CLufmsZWrnP8iynNnxPoriOYeqwGJ63uEK5oehqAbJ/fM9u0tv0zWtwm8o2J7G68khB/H1w+QdSaEqjyDcbpE4TbN5im4ESeSBlFsJ+Z5urfstPsxi8oDP8gK/4hViYGhrLJ19J2xBkdnstl7d892Gk/r66gACoiIiIiIt2S2+2moamJ6soyKl0BVDW6aS7djU/xOpz1DtwNlRgaKzE2VbMw5B6Km3yZVv0m1zW+QZC7jhBDPYdj3WWN/6IBCz8xL+Tr5vfaP6MWf+oMgTjM9xDk74shJJ6ylhGU+Ibg9gsFSwiGwAieGZJBsMVMZNMfKfRxExgSTmCIFR9LEEMNBpa0H3HSV5xV3Pn/QfUgCqAiIiIiItKpWludVDY0U9ngpKaiBHfhBpprSj0hsr4CQ2MVOcFXUeCMZFDlcm6qeZZAVw3B7jqCDA0EAHc0/Ybt7kRuN33AYz7Pth+7ER9qDUE0GK7DPygBX2sCxQ3pOP1CwRKGISAMk7+VZwZPICgwEKsrjTLTYwSFRuAXGEqQyUwQ8Fb7ESd+xdlEdsrPqK9QABURERERkdPidLmprmugpuwAdZWlNFaX0VxTRmttBTstI8k39MPXsYtLi5/Gv7WKAGc1wa4aQqjl4ZbvkOPKYJpxHf/2/e0xx23Aj5drhlMRFILBN4h6/ziqfIfh8gvFbQnD6B/GDwZOwd8aS7ghjUL3XQSFRhIUFoHF1x8L8O/2o00EvnOKs7B2xo9GTpMCqIiIiIhIH+R0uqisclBTUUyd4xBlriAOEkNddTmpu/+FqbECnyYHltZqAlqreNZ9Oc81TSGZg3zk99AJx3u35S7e8buUMX5VhLcU02AOpdI/hTK/MNyWcOb0v4A5MWlEmoawq2kCAaGRBIVFERQWhb+PH39qP9Jk4J5TVK4WyJ5MAVREREREpIdzu93UNbVQUddKRX0z7vylNFeV0Fpbhru+HGNDOduMg3nXOJXqujoW1s4nzF1DhKGFiLZjPN06h9+03kww9eT6PU+VIYQ6UwgN5hBqAhMZGpXI/XGDiPRNItfxKD5BkfiFRBAQGk2wNZrHwmP4pY9f29Hu+IqKB3fiT0O6MwVQEREREZFuqKGhkYqyImrKi2hwFFPZBFstoyivbSYr/4+E1e8loMVBkLOKMHc1n7pG8e0Wzwip6/2+QZihrv1YVQRR5OfCJ2I6g+Mi2FsxhX2WUAiIwBQUiV9INDNih3JV/BCs/j74+FxPpMFwTFvj6GOqG94VPwLphRRARURERES6QGurE0dDK+V1TTTs30BL6W5aqg/hrj2Esb6cKqcPz/jeQXldE7+t+wkTDVs4eobHNa4hPNH8KIG+Ji4xbyfUWEuDbxiHfAdQ5B9OQPgIfps8ivBAX4rr/kt9SBjBETEEhUUTavLhOuC69qM91+XnLwIKoCIiIiIiZ83ldFFZXUllyX5qKkrI90+jtKaJ6D1vE1u+Cr+mMoKaywlxOWhxG5nc9GcA/u7zO2aZctuPU0UQBeZkgkPMJEUE4Ki/hFXGyZiCovAJicHfGktCVH+2xg/B39cEXPIVlcV03kmLnAMFUBERERGR49TV11NRcoCa8oPUlxfSXFWMq6aEd4NvpLjexaRDL3JJ/SLC3ZWEG5oIB1xuA9c2PYcTE4/5fkmWaRXVpnDqLZFU+w2lJTCWx4YPJyLQj+jWX7HPYiA0Ip7g8BhCffwYAyxsr2Cst05dpFMpgIqIiIhIn1HX1EpJdSOO4r04962ipbIQaoow15fg31jKY6ZvkVcXzDznmzzi878T9n/cJx1XcAKtAVEc8hlJUUA0BEVjDo3FEhbHksEXEhUaSJDfZRgMBqKO2//IDJNxnXymIt2TAqiIiIiI9HiNTU2UlxykpMlMUYMPdcU7iN/zJqa6YiyNpYS0lGJ1ljO/+buscQ/jKuMy/uT7NwCa3SYqjOFUmyMYE+PDmMhEBhmuIrd5KH5hcQRGxBMa2Y/QyHgW+VraPnGK905WpAdTABURERGRbsvtdlNTW0N50R6qSvay3xnBrpZImkvzmbX/SYKaSwlzlhPhriTB4OY3zd9mkWsS4wzbeNH33ziMYVSZIqnzj8fhP5a5yaO4NS6VBN8h7DNcTXhsIoFh0cQaTcQCP2n/5DTgUq+dt0hvpQAqIiIiIl7hdruprq6mrKiA6pK9NJbvZ487hlzXEOocxXyveAHhzjLCDTWEtO3zbsvN/N01h+GB1dzoLqLGN4p9/sPYGxSDMSSO2wZO5VsJQ4kJnI4x4AEiTT7HTCWS6YXzFJEjFEBFREREpFM0NjVx6EABjqLdNJTuodWxjwJnDO8bJlFSWcfLNXcQbqgh9Kh9trdezNKA+fQL8aPeEkNlwGh2h8RjDuuPf2R/7kwcyQ9iE/E1G4GbvXVqInKWFEBFRERE5Iy53W4qKx2UHdhFdUkBjWV7oXI/ha1B/JfLOVjZwOKWe0g0OEg8ar9q40XUR05gSFwYWwOvwjcoDLO1HwGRiYTGJHFrXBJ3WgLbtp7qhTMTkc6kACoiIiIiJ3C53JSVlVC2bxu1Jfm0lO/FUHWAqmY3vzfcQWFlAy/wCGOM+e37tLhNrDanExJ/NalxIWytv5fCIAv+UQMJi0smMiGZyyxBXNa+R4Y3Tk1EvEgBVERERKQP8rRgVnJo/w6qi3bRXJoPlXtxN1TyM+O3OeBo4M+G33OJaXX7PrX4k28exKABQVw4OIqylm+zweIiKCaZ8PhkwqL7M8lkZlL7HqO8cWoi0o0pgIqIiIj0UvUN9RTv3Ull4S4aS/NxV+zFt3Y/j5kfoKCyle87/8nXzB8c2R4/SkxxpA0MYGZqDAb3fWyy3EVoXApR/QYTFBLOKODp9j3SvHBWItKTKYCKiIiI9FCHn8Ms2bOV6sIdNJfuwlS5h3+ab2J9pT/XNLzGj31eaN++2W2i1BTNkPhmMlISsZrmscF0CcGxKUQlDiHYGstAg4G/tu+R6o3TEpFeTAFUREREpBtzOV2UlhZRuncbtUU7aC3bzcfmyayuiSSl/GOe5PdYj9reQQjRkbOYMSydgZZrWOcaSWBsMpH9hmCNSSTBZOb37VsP7/oTEpE+TQFURERExMvcbjdlh4op2bOFmoPb2OxMZFVDPKZDm3ii5kfEGOqJOWr7j/1CsMZcwoCYCaxquh9L9CDCEoYSnTQMa5CVX7VvOQqY3eXnIyJyMgqgIiIiIl2kpqaaooI89lU72dQQRXFJEXfsWUBcywGiDDVEtW230jmXveHzGB6RyHb/SzFEJGOJHkR4/2FEJw7hZ34BRx31Ym+ciojIWVEAFRERETmPmptbOFByiN01ZvIP1TBi068JrtlNVPN+4igjGFjTOp0/O79OYpgv88z+7A6bDhEp+McOJWLAcB7oP5Tv+Pi2HXGGN09HROS8UgAVEREROQt1Ta3sLq2lduNiXIXr8XPsJLxhDwnOg+x1pXFPywIA3resxezjQ1HoWPZbU/CLGcKk5Ey2Jo/A4mMCZnn3REREupACqIiIiMgpVJSXUbhrAzUHtuA6tA3/qt3UNbcyr/57ALzk+xcmGrZTbIyhzH8Am0In4Z+QyZujsxgYGUio/+VePgMRke5DAVRERET6PLfbTVlpMUU711O7fyOtZfn8xXQ7u0rrsLX8katNKwBodpspNCfgDB7KQ1OGkhIVRHTAf3HGxxNvCSTey+chItLdKYCKiIhIn1JV6eDgznWsb+nPttImEvJf5pqq54jG0T4IUC3+BEVfxyUj4jD5zmdzwO1EDhxFdP8hJJl9SALGtR8x1hunISLSIymAioiISK9U39zKzpJaCndvIGTbq/hX7iCmsYAESggFftj0C/b6DuEmazj7rRPZGzmUwP4jiR2UTnjcQP5tMLQdaaQ3T0NEpFdRABUREZEezeV0UXggn+Ida2g4sAFLWR5R9buwN93MJ66xZBk38R+f5yk0J3AoZDgHI67Dv98I/j58BrExMRgMmsZERKSrKICKiIhIj1FfX8e+7etw5K9jU2MUH1Qn0ly8jUWG79KvbZsiQzSlAYO4YsQgbhyawdCoLIzh32WAjx8DvFq9iIgogIqIiEi343a7KSqvYmtpE9sKHWSu/wmRdTtIdB5gmMEJQIH7Ygyx3yF9TDprWh4hJGks/YaNIy4knDhglHdPQUREOqAAKiIiIl7ldrs5uG8XxVtX0rg/l8DyzSQ07mCTM4V7WzxTnSwO2Eu9XyzrIqbhmzCa6EEZ3DRwOLeYD/8qM8Zr9YuIyOlTABUREZEu43S62F+wjUPbV1Jx6AD/aZnJlsJqnnX9iEzjLpxuA/vN/dkfNp6gflm8knkBw2KDCbZoLk0Rkd5AAVREREQ6hdPpYmdpLZsPVmPa+CKDit4msWkXSYY6koAatz9PR03lytHxVFh+xO4YK/2GZZIUEEKSl2sXEZHOoQAqIiIi58ztdlO4L5/CvGU0711DcMVGBjTt5MamP1JFEN/23c1I33p2Rs3CED+aiEHjSBiayZt+/m1H0FQnIiJ9gQKoiIiInLGy0hL2b17Ol/XxfFliZMD+N3nM/RQJQIvbxD6fgeyIms1v0gczeNAQBkZehslo+MrjiohI76YAKiIiIqdU19RK3u69NOe+gE/JOmJr80h0FxEJPNfyTUqiLiV18BTWmIKwDr6AxOETSPELIMXbhYuISLejACoiIiLt3C4X+/fupGjTUlr3rWRpw0D+XjGGSLeDVZbfccgQQVFAKsUx1xGSMoFfjJxMYEh4296XerV2ERHp/hRARURE+rC6xhY2HKxi3V4HmWsfYmDdBhKpIBFocPtyKGQu3552PWMTrTism4iOSSTa20WLiEiP1asDqN1unw/Mtdlss85wvzBgPpDftijZZrM9cZ7LExER6VKH59s8uPEzWvetJKJiA4da/Li9+WEA/htUz4HQdPbFZxKZOpn+qRO4xsfXy1WLiEhv0isDqN1ufwaoBMKA8FNu3LFXgHttNlt+2/GS7Xb7kjMNsiIiIt7kdDrZvWMzyytCWL2ngjm7HuVS91L6AY1uH/b4DcEcN55/Tx7HmP5hWAM116aIiHSuXhlAbTbbvdDeApp5Jvu27ZN/OHy2HS/fbrdX2u32620226vnt1oREZHzo7GxgV0bllO57TMCileRXL+ZQdRxXdPfCQmLIDNuBqtDJhKZdiGJqeMZ5uPn7ZJFRKSP6ZUB9BzNxdMCerzVwL2AAqiIiHQLlY5y8td9ytKaeJYedDG66GVspv8AsN+YwK6IqRgHXMAHF0wjPjoSmO7VekVERBRATzQTeLyD5fmcYWuqiIjI+eSorCJ/9Xs07vyMqPJVpLTuJt3gZmHrtzEkXE5kxtVsDMxgwJjp9I/qR39vFywiInIcBdCOVXSwrBLPM6U90gcbXsVvzVYwGDAABoMRDAaahifhigrHVFmLZXO+Z73B6NnJYKA1LRl3eCimimrMO/dhMBjAYGhbbcSZmgzBQRgqKjHvKQSDEUPbMQwGA+5hyZiDgjFX1mEqr8Lk44vJxw+Tjy8+Pn6Yo6Mx+/phanVhcoKPrwWT2RezBr0QEaHSUc7utTmsL3XzSkk8tSX5LPN7kGa3mXxLKmsT7iZ4yBR+PXYalsBQb5cr0uc0NTVRUVFBTU0NTqfT2+WInHdGoxGLxUJQUBBWqxWj0XjOx1QAPUrb6LdfuY3NZqvsYPl8PCPnEhra/X4J+Nf7v+TRfzeesPyPVxv5ItXIyAIXP33RdcL6X881sm6QkXE7XDz02onrf3abiW39DUzZ5OL+xSeuf+guE3tjDMxe6+LrH7poBVqPWn//vSZKwg1c+aWL2z45sr8LaDXBggdDaQrzZ9aXTUxaU4fTx4jTx4TLx4zbz8zH92ZgtgSQknuI2F0VGCwWjIGBmIKCMAcF47xkCoE+QQSU1RHQYiAgNILA0AgCQyPx9Qs4mx+liEinqapvYdcXb9K441Miy1aR0rqLDIOLYtckIhMf5YpRWWwLfInkUVMY5h/o7XJF+rSmpib27duH1WolKSkJHx8fzx/qRXoJt9uNy+Wivr6eyspKqqur6d+/P2bzuUVIBdBjnc6IueF4WkOPYbPZsoFsgOzsbPf5LevcPfG1l3FeWoIbN263C1xuwM1DkeEQFICrvh73ZcXgduPGDS43blwsiI+GwECYUovz4kLcbfu5ceN2ufjxwH64A/1xT6ikcXYhbrcbt9uNoe3rj4cm4rT44EotpmLiPpytzbhaWnC1tuBubeUbk1JptpjwC93H3n57oNWJq7UFnE7czc3MSB1JnamViH751BXvx9DcirGlBWOzE2NDM7ur91Bf3UTM5jJiV9fj1+zG3JZjm01wm/+bAHxrkZOLNrupAWrafiaOIAOPPBRFqF8ocz6qJaGoBVdwAIQEYQwNwRgTjfPSCwn1CyX0UANhQRGExw0kMMja5f/9RKR3qq+vZcfqj9i3ZwfPVE0kr6iad30eY6ThIPl+w8iNv4uQtGnMGjOVy/2D2vYa7NWaRcSjoqICq9VKZGSkt0sR6RQGgwGTyURwcDBBQUEUFRVRUVFBdPS5zQatANqxUwXRjrrndnsDogdD9Cl+abECCaNPvj4SSD7FB0QDw06xPgEYf4r1qcDVJy5unxBgUse7zTz8zXWeLy6Xi6bGWuqqyqirqeDVyGDqWupoStxK2f79tNTU0Fpbg7OuliZamJ44iOqmavxcG/Bz1GI54MC/3ol/MxyIgIeC3gXAvrCV1ANQCzT4Qm2wmcLkUL74WgYR/hGMXFFMoMFCQGwCof2SiRowjMj4FHUlFpFjtDpd7NiyFkfuWwQVLmdo0ybGGFpIcgfyYvwrfHfmEJoj/4N7yBCG+Qd7u1wROYWamhqSkpK8XYZIlzAYDERERLBv3z4F0PPscLgMO9kGHXW/le7DaDTiHxCCf0AIkXFHJeaY9A63v/rwN1OPXd7cVE9U1SHe9nNT1VRFfcQqivbupan8EM6ycgyOKppCDOyr2cf60vVc+MohYiqP7O8APhpk5D93xhMTEMM1b5biFxiMOSaGgPj+hPZLJmboGKLjB2E0nHtfehHpntxuN3t35VG47j2er5/I0oI67nG+wAPmN9ljGsCmuOsIGDaTlMxZvBAU5u1yReQMOJ1OfHx8vF2GSJfx9fWltbX1qzf8CgqgR7HZbJV2u72SjltAk+mg6630Tr5+AURGJ9HeqeaKMR1ud0fb15ZrGqko3kPFgV1U7t9N3cF9GAOdjI8NpKS2mPDtxVjL9+HXuqV931fGGPjP5f4kBMRx7/8qccdEYE5IICgphYiBqcQPSyfUGtuZpykinaCsrIz8L9/EuetTEitXkUQJScDLfnauGD2DtH7fxzHg5yTFJJLk5VpF5NzomU/pS87X9a4AeqI1dNwCGgbkdGkl0mP4+FqISRxGTOJJ+iFf4ukeXFV+kEN7tuLYu5NESxO3xLopLc7Hv+IgoTvLCWjaAXwCwB+nGPlkZiTDTAnM+bAS84ABBA8aRkxaOomDM/C1aBAlke6gpaWFHeuW8mVhC2/sD8RYuI63/X5KDQHsDkynaMDdxKdfypMpI9tHERcREemrFEBP9Aowq4Pls4BnurgW6UWMRiPWqP5Yo/rDuNnHrrzC01WvquwARTs2UJ6fx9BIcIfWUbc1j+g1ewheWgB8Sguw3Qgv3BhNVdZw0lyxDN/rImbkeAaOmox/QIg3Tk+kTyk6uIc9Xy7CXPARg2tWM9xQS65zFgEJ3+eiWZewK2wkyaMmM8as7nkiIiJH6+0BNOxUK+12uwOosNlsKYeX2Wy2bLvdfq/dbk+22Wz5bdult617tTOLlb7NYDAQFtWfsKj+kHXFkRWTgLuhsnQ/+7esonz7RuoLdhEwJIgd9SUYVyxnxpvNwEvsNkBZlA+1/SI4dPts+g3LICUgkUTrQHx8/Lx1aiI9XmNjA5s2b+L94iA+236I/1bfyQUGB2WEsSv8QsxDZnH1xMuZZ41p22OIV+sVERHprnplALXb7c/geWYzEwiz2+1LgHzgGZvNlnvUpmvo+LnOGcAjdrt9d9v7FJvN1lGrqEiXCYvqT9jU/jDVM+TvZW3LWy5uYO+NKyna+CU127ZgyN9H6J4yfr/zBcpKXmDOShc3LHVRGudPY0o8luFpxKVPZtC4mVh81Y1X5GSKD+6l4Is38M1fwrC6NSQQwELnU0wYGMGGZDvNQ4fRf9g4Is/DpNwiIiJ9hcHt7nZTVvZ42dnZ7vnz53u7DOnjGlobyK/K5+DnS2j5dBnm3QeI3FdNQJObViPc/QM/BkQNZnZ+MAMIJy49i0EZM9SFV/osp9PJ+v1VfLz9EDHr/sztjc8DcMgQwb6IKfilXsygrOvxt2h6JRGBrVu3kpqa6u0yuiW73d7hcqvVSkZGBllZWV1cUfeQn59PTk4ORUVFWCwWFixY4O2SztiZXPd2u32tzWbLPH55r2wBFRHwN/szPGI4w68eDld/B/AMhHRg+xr2bPmCWwa62VqxlZCcL+i/swV4h11GOBTrR+XIAbi/NY8xUWNIDkvWVDHSa1VXO9i+YhHOre+TUrWcnzb9kO2GgdwWN5ZV8WHEZl5N/2GZRKuVU0TkjMTFxTFzZvuM7TQ2NrJlyxZycnLYsmULt99+OxaLxYsVdq2ioiIWLlxIWloaGRkZVFRUfPVOZ2H58uUsW7aMuXPnkpyc/NU7eIECqEgfYjQaSUwdT2LqeC5sW+aa4aJwRy5713xK1cZcjDv2UHNwL7//wvPXy188Dz7BIbhHDCVq/GSGZV1BSNi5TUAs4k17yur4MncdqWt/RmrjBsYZWqnBn13BE/jh9FTGZk4hNECDB4mInAt/f/8TAlBaWhpr165l8eLFPPfcc/SlHoM5OTnExcUxd+7cTv+sxsZGGhsbO/1zzpYCqEgfZzQa6Tcsk37DjvSQcLvdTK3ey4aSdZiX/4PAbQeIfukLeOkL9hl+y9JpEZTNm83oyFGMcsYxYMg4jGohkm7K7XKxY+OXlK15gxXl/jzlmIA/jbwTUM76+BsIHXUFKRkzGeurgbpERDpbRkYGjY2N5OTkkJeXR1pamrdL6hKFhYVdcq5ZWVndvouzAqiInMBgMJAUmkRSaBJkXwNAVekBtn/+DuVrVlAdVcd7Be/x2cqX+evTTlYFGSkbGo1P5lgGXHgZg8dOw2Q0efckpE9rbnWxdeUH1K1/naTSTxnKIQa7DTQGXsLPrvgas9Ji6B9+Hd2zc5KISO+WlZXFsmXLyMnJ6TMBtDu3SHY1BVAROS2hUf0Yf+29cO29XAr80O1i19517OclmtatJ2JrIWFr38P9zHt8d24QhmmTmGgZxhifgQweOwOz5kOUTlZTU8XmVR/zv0NJfLLtEH9y/YYs4xa2B6ZTNOhbpEy+nhnR/bxdpoiI4OmOm5ubi8PhwGq1ersc6UIKoCJyVowGI0OSMhjynQzA0233wPa17P7kLaIHNrHcsQn/j3MY85GLXH8Dh4ZF4TM+g0Ezr2Xg8EnqsivnhaOijO2fvYzPjsWk1a/mAkMzNuPfuXTkUHwH/AF32iBGBYZ6u0wR6YPsi7aQV1jt7TLOSFp8CLY5w7vks+Lj48nNzaWoqOi0AujhZ0fnz5/P5s2byc31zKyYnJzMnDlzaGhoYPHixeTn52O1WsnKyiIjI+OYYzQ2NrJkyRIKCgpoaGggOTmZmTNnHvP5p/qcjp7f/KpjLl++nJycHAByc3PJzc3FarXywAMPdEpNR28bFxd3zLpFixZRUFDQHvpTU1OZNavrZ5pUABWR88JgMNB/WCb9h2UytW1ZYfomdox8lfrVqwjfvB/ruvdoyH6POT+KZczASUxpGcjYIRcRkzDYm6VLD1NW28QHW4opWf0G3y59jIkGJ4eIYHPMlQSPuZr3xl2MyUdTpYiIdGeHA5bD4Tij/V555RXi4uKYPHky+fn55OXl0djYiMPhIDU1leTkZJYtW8bixYuJj49vD2EOh4Ps7GwAJk+eDMCWLVv485//zLx5804YMKmjz1myZMkxge10jpmWlkZcXBwLFy48YWTgzqipI42NjWRnZ+NwOEhPT28fhXfFihWkpKR0+Wi5CqAi0mniB44k/hsj4RueFtL9W1aybdX7pCbWsvTAUsb86w0q9v2ezfF+1I8eROSU6YycdRNBweHeLl26mUPF+9m19CUCd7/Dc7Xjec15IRnW/kyOv5GIzLkkj72IaD13LCLdSFe1JPZU/v7+ANTX15/Rflartb3VLysri8cff5z8/Hzmzp3b/jzp4cC3efPm9gC6ePFiAB588MH26V+ysrLIzs5m8eLF7S2SJ/scu93O1q1bjwl7p3NMq9XaHratVusxYa8zaurIkiVLcDgcJ7SKzpo1yytT4SiAikiXMBgMJI6YSOKIicwGXG4X2/u9w76PFmFYs5GkD7Zgfm8Li//xFB99ZxKTEyYz2SeV5MHjMBgM3i5fvKDQUc+e9/9ESP67pDZvItrg5qAxjlmp0Xx9xhSGxQZjMFzn7TJFROQsFBYWAhAefmZ/dD6+W63VaqWoqOiYwYzi4+OBIwP/OBwO8vPzmTlz5gmBa+bMmSxcuPCEEXmP/5y4uLhjWmvP5phH64yaTiY3N7e9JfZo3pqHVQFURLzCaDCSOnkOqZPnANBQU8mWj16moXIbpfX5/N/nvyXzT04+DzdTOTaZiKkzGX3xrWod7eVKSw6ybtVSsg8MYM1eB4t8XyTY7GRN4t3EXnADA1LHk6A/SIiI9HgVFRXAkbB4uo4PTf7+/l8ZpA6HtOMD2NGff/DgwWPCXkefc3wAPdNjdnZNHSkqKgLo8m62p6IAKiLdgn9wGJlXzycT+BpQWLyLrfVP07J8JYmf7sAvZwe7H/0b790+jNjLruLCfheSHNZ9bqZy9hwVZWz/9H9Ytr/JiMZcpmDmqdD/8oPZQwge8i4D+iUwwNtFiojIeZWbm4vFYukwgJ1vh1tCO5oKpaGhwSvH7IyaTufzugMFUBHpluJjBxH/vd/B96CpvpbNOS9R8vH77Ipq4Pm1v2fls79l7iozdeNTib/kKkZddB0+Zg0801NUN7awZEsJ5Sue5c6yPzDR0EqRIZrcfvOImXQLb6VNALV0ioj0SmvXrqWxsZErrriiSz7vcMjtqEXycAthQkJClx6zM2o61ecc7vLcHSiAiki35xcQRMaVd8OVd3MZUFRbxFrT32nd9h4DF2/AtGgDuYE/p2RMf3x/eD9ZAy8i2DfY22XLcRob6tn82Wuw6RX+Wp3Fpy0jyArpx5i464mYcAvJo6cQp+l5RER6tby8PBYvXozVaj3hmcbOYrVaiYuLY8WKFWRmZh4zxUlOTg4Wi+WkXWU765idUdPJpKent095c3SLc2NjIw0NDV0+D6sCqIj0OHFBcVxx28/gtp9RU1bEhsXPUv3xRxj3FvLQl49gXmnm3s0xJMWlMvzqO+k/cLS3S+6znE4XeSs/oG7186RWfEymoY4KQrgq5UIemD6Jsf3DMBju8HaZIiJynjU0NJCfn9/+/vCgO3l5eVitVubPn9+l9cydO5fs7Gyys7NJS0vDYrGwdetWHA4H8+bN88oxO6OmjsyaNYuCggKys7NJT08nPDycwsJC8vLymDlzJllZWefts06HAqiI9GjBkXFMvvNhuPNhWp2t9CvfzCf7Pibl2efod3Avtc+8z4eJ/rRMTmfItXcyaHiWRtXtZG63m+0Fe3h9WyOL1u3jjeb7SKGebWEX4pd+E8MmXck1mqdTRKRXKyoqYuHChccss1qtXgk8hz/7wQcfZMmSJRQUFNDQ0EB8fDzz5s076xbAcz1mZ9TUEYvFwgMPPMCiRYsoKCggNze3fU5Sb/y3MLjd7i7/0N4uOzvb3dV/1RGRY7ndbvau/5wdb/8X8+driTtQz9sTDHx+dTIzE6Yx3TmY4RMux6S5I8+bwv27KfjkWWL2vE2I08Hklqe4cGgstw+sZHzGOCyBod4uUUTkvNm6dSupqaneLkOkS53JdW+329fabLbM45erBVREeiWDwUDS2AtJGnshAMW7NjK4ZCW761az+v1nufiFFpZbf4RjwhASLr+W0dNu0CBGZ6G2qZWVn71D1Jo/MqJpPfEGNzvNQ9k79BusvORCrKEh3i5RREREuhEFUBHpE2IHjeLaQaO4lntwjNnHxshsGj7+jOQPt2J+/5esCfoVnz8ym0kTr2dC3AR8jD7eLrnbcjmdbPnyA97MN/DCDgPpzq38zu8gawZ8nf5T72Rw8ghvlygiIiLdlAKoiPQ51uhELvrmL+CbUOc4xIa3/k350o95q+FLFuZ8xI0rfRjpiiPmimtIn30bvr6nnuC6r9i3awv7P/0XSQcWMZISVnMlV4/9IdenZxKb+BBx6s4sIiIiX0EBVET6tEBrNJPuXAB3LuBiZzMrCldQsfp3DPh8N36f/p7cwD9QMm4g0VddR+bsefiY+lbLaHVjC4vXFzL047vIaF5DP7eBPP+xlAz/HrdMvwVLoLrYioiIyOlTABURaeNr8mVq/6nw16k01lSy7q1/UvneewxYns+q0t/x/cp/ML3/dC6vG0TGtJt6bcuo2+Viy+qPOLDmHb5TfDGNLS5+GZqMM3kCyTPuZkRCirdLFBERkR5KAVREpAOW4DAuuO37cNv3aayppHrXp0ytXcXWNR9y69OvkRv4BCXjk4m9ei7pM27uFQMYlRbtY8eSf5BQ8Boj3AdIdvtx58grufSCdEb1u0zT14iIiMg5UwAVEfkKluAwLhx7NRdyNY1jF7A+6p843n3X0033k9+wMvQJNnz/UrKm3sboqNE9Kqi1OF18tPUQmz9/kweLf0SWwcl2n1TWpj1G2sw7eDg4zNslioiISC+iACoicgYsQaFMvPV7cOv3qK8qZ91rz1Dz/ge8UP0xT7/3AXN2hjLRlcSQG+5i6Ohp3TaMFu3bRf6HT/NBkYXn6i5gQFACkxNupf/Uuxk6ZIy3yxMREZFeSgFUROQsBYRGkHXXj+CuHzGluZaP939M/bI/kfL5WtyvryUnwY+maeMZceO9JA3O8Ha5tLa0sHHpG7Dm34yu/4I4g5um4Cu56Pr7uWhIFGbTHG+XKCIiIr2cAqiIyHkQ5BvElSlXwt+vpHTvNja++H+YcpaT8t/PWblsGY98ezSXDLyEi6MuJDZ6YJfWVlzVyIur95G24rvMdi2jnFDW9rudxNnfZPqAYV1ai4iIiPRtCqAiIudZ1IBhzFjwJ1gAB7euwbDzI5zutfz9s98y5qnfsGZIGL4XTydz7jcJj0jolBpcTicbly2iZdW/+ZbjRg65Qpnf/0qik69j+IxbGN9LR/AVERGR7k0BVESkEyWkZnJDaiY3APn5uews+APhn2/A+uTr7P/r6ywfGYXvfXcy5YKbCPAJOOfPKyspZPsHT5NY8DJj3EVUEsT3Rl/PpJnTSIw49+OLiIiInAsFUBGRLpKcnE7yb/+Ly+lk+9K3KHr9eaK/2MaC9X/gJ/v+jxtaxjA5chwZl96Br9nvtI/rcrn5Ir+cN1ds5rHdc8kyNLPNdzjrRn2H4TNv5yaLgqeIiIh0DwqgIiJdzGgykTrtWlKnXYuztYU/lG/i3YJ3iX/8FcK2LmP1z/9E2eRUBt5wJyMnXH7SkXSrqyrY/O4zFOdv4ns1txIW4MO0AQ8yYtKlDBvm/UGPRERERI6nACoi4kUmsw/pMemkx6TTtPABct/IpvbtRaS8twXTuw/x0ohHcfzkbi5PvpzEkEQA9u7YwMEP/8LI0sVMMjSw3WcYT85N5ZJRA7D4zPbyGYmISF9nt9s7XG61WsnIyCArK6uLKzo3a9euZfHixcyfP5+4uDhvl9PjKYCKiHQTfkEhXDDvBzDvB1QW72Pd//7KwbptPLvh//j7mqf48aIADiZGcUvYF2QaYVPYdMKmfpuhY6cy1NvFi4iIHCUuLo6ZM2e2v29sbGTLli3k5OSwZcsWbr/9diyWvjsg3vLly1m2bBlz584lOTnZ2+V0KQVQEZFuKCw2kWnffYL0ygqGvfMH3i7YibUkj7Tt+Rw0x7BsRARhV08kdVi6t0sVERE5gb+//wnBKi0trb018bnnnmP+/Pleqq57aGxspLGx0dtldDkFUBGRbmjP9g0ULvkzo0rf4XJDAz7+l9HwzAe4K9dS+Np/iF+2jeBH/8ld+18k5YKLuSJuFuOSJmM26bYuIiLdV0ZGBo2NjeTk5JCXl0daWpq3S+pUy5cvJy4u7oQwnpWV1eO6Ip8v+k1FRKSbcLrcfLLtEK53fsDsureJd5vYFDaDsKnfZvbYi9q2iiftojk4m5tY/8HzDA3fw4d7lxD3lzdo2W/EcdEohtz0dYaNmnbSwYtERES8KSsri2XLlpGTk9PrA+iyZctIS0vrc91sT0UBVETEy2qqKtj4zjM8un80Ox1uvhaUROiAexl82bfJiEnscB+Trx8Zc+4iA3hkwo9Y3fIkja8vYtAb6+CNb/FhfwuNV05l/Nd+SFyQBkwQEZHuJS0tjdzcXBwOB1ar1dvlSBdSABUR8ZKiA/nkL/4DI4teI8tQzyVhP+K7t97O7LRLMZuMp30ci9nClDsehjsepnzvDjb87yn8PvycLV9+wE9CcsiMzuDmkmTGX/MNwkKjO/GMRETkGP++/MRlw6+G8fdAcz08P/fE9WNugbG3Ql05vHz7ievH3QUjroOqA/D6vSeun/RtGHoplO2ERd85cf2FP4CUaVC0Ed5/5Nh1X3vndM7qvIiPjyc3N5eioqLTCqCNjY2sXbuWtWvXtofWjkbUPXrE2s2bN5ObmwtAcnIyc+fOPatjHm/JkiWsWLGiw1Fxs7OzcTgc7QEbIDc3t/37mTNnkpWVdcqRdRctWkRBQUF7TampqcyaNesrf0Y9hQKoiEgX27SnmIbX72ds1UdE42JjyEUET/su30+fes7HjhgwhOkP/wkehuSKfAL3L2HTJ6/Q/+mV5P/hf+xPTyD86msYf9ld+Pn6n/vJiIiInIXDodPhcJzW9lu2bGHt2rWkpqYSHh5ORUUFOTk51NfXdxjOXnnlFeLi4pg8eTL5+fnk5eWxZMmSY7Y902MeNmXKFFasWNE+iu1hDoeDoqIiJk2axIgRIxg+fDgLFy4kOTm5PdSeKmw3Nja2B9j09HQyMjKoqKhgxYoVpKSk9JpuvAqgIiJdwOV08eWqL3hyo5FVBeX8z6+IdbHXkXjZ9xk7YFinfGZieDL3ht+La8TX2Zr2KodefZ7+K3fh/+Vfyf3FU3z58KVcNOVWxkSPwWg4/RZXERE5TadqUfQNOPX6wIhTrw/td+r1kYNPvT5uVJe2eB7P39/zR9D6+vrT2j4jI4OMjIxjllVWVrJixYoOw6LVam0Ph1lZWdjtdrZu3XrMtmd6zMMsFgvJycnk5eUds/zw+8zMzGOCZlhY2GmFxyVLluBwOE5oFZ01a1avmrJGAVREpBM11Nex/t1s4vL+SbqzmDrL3/nJ5aMZkfkxwf6+XVKD0WRi+OwbGT77Rprra1n/5j9wvLeYl+uX8q/3P+T6vBDG+g9m+E3fIGXYxC6pSURE+rbCwkIAwsPDz/oY8fHx5OXldfgc6fHBMi4u7rRaW091zKNlZWWRn5/P2rVr2z9r7dq1xMXFnfUzrbm5uaSlpZ3QJbc3hU9QABUR6RRlh4rZvugPDNv/IhdQRb5pIHmZP+etiy/F7Ou9f0h8A4IYf8t34JbvMLWlno/2fUTrkt8xeM1Kml9cybvJgTB7Chk33U9MbO/o6iMiIt1PRUUF4Al8p6uoqIjNmze3Px95qjk0jw9t/v7+HQbQMznm0ZKTk7FYLO0B1OFw4HA4mDlz5mmfz/F1HD5ub6cAKiJyHu0qruLvy/ayYf0q3jVlsyVgHIcm38+wC67AYOxe3VwDfAKYkzIH/juHkp0b2fTC3wjO+ZLIp9/n3U8/YMU3s7gi+Qqmx11EcGCYt8sVEZFeJDc3F4vFckJr38kcHrQnOTmZjIwMrFYrW7ZsaR/c52yc6zEnT55MTk4ODoeDNWvWACe2vJ6p0w3APZkCqIjIebB93efU5PyOoupG3nR/h+syJrB/9EpGJg/1dmmnJWbwKGJsT+P+mZv8lR9iKFrBgZpV/GXRj0l41smBzP5EXX094y6+A18fP2+XKyIiPdjatWtpbGzkiiuuOO19Fi9eTHp6OnPmzGlfdrjV8Gyd6zEzMjLIyckhPz+f4uLi9lbR451OqDwcxA93Te7NFEBFRM6S2+Vi0/LFsOxJRjWtpQZ/nIk3svymaUQG98znNQwGAykTLyaFi7nD7WZj7vsUbfoLA1YWYFn2R1Y/9idKJw8j6RsPMnrwFAwGg7dLFhGRHiQvL4/Fixe3T3lyOk4W4M4lrJ2PY1osFtLS0sjPzyc/P/+EaV4Ob3O6rZrp6entU9Mc3TLc2NhIQ0NDr5kvVQFUROQMOV1u3t9czP73/8g36p+hnDBWJd9P2lXfY0Lo2Q+m0N0YDAZGZ1zK6H9dSlNtFetey6Zu0WKSPszjG0O+iXVTf24wjufC4ZeTMmS8t8sVEZFupKGhgfz8/Pb3DoejfToUq9XK/PnzT/tYh7vqHu4aGx8f336ss3W+jpmRkcHChQsBSEtLO2H94eMuWbKEyspKgA6DKnhGuy0oKCA7O5v09HTCw8MpLCwkLy+vff7Q3kABVETkNDU1NbDunb/z4g54szKF9PBJZI6IYuTl9zHeP8jb5XUqv6BQJt7xENzxEDWVh/hR+Zcs3r2YsCdeofHAy7ybEgSXXETmjd8mOjrJ2+WKiIiXFRUVtQezw6xW61kHqblz5/LKK6+Qm5tLQUEBAwcOZNKkSaxYseKsazwfxzw8aFB6enqH67OysigsLCQ3N5f4+PhTnrvFYuGBBx5g0aJFFBQUkJubS1xcXK8KnwAGt9vt7Rp6nezsbPeZ/FVHRLq3mmoHm97+Cym7/kMM5XzoNwvnFX9h9vBYTMa+3QW1eFsum//3f1g+WkVEWTPNJsidlUjk/d9meuJ0An0CvV2iiEin2Lp1K6mpqd4uQ7ysqKiI7OzsE+bu7K3O5Lq32+1rbTZb5vHL1QIqInISFXXNrHvlcTL2PM0kasnzHUVp1m+ZNeWabjeirbfEDksn1v533I+62b3iPfa9/B92BxXyh2U/IrzZj++siSTm6hvInHUrvmYNXiQiIr3LsmXLsFqtfSJ8ni8KoCIixyktOcA/VpXz3KoibnSVEhk6itLpPyAtc4a3S+u2DAYDg7IuY1DWZcx2u7mudD2rFv+Tgcs/wu+z37Iy7PeUTUkj+YavMSrzUg1eJCIiPdbR067k5eWd9JlO6ZgCqIhIm+IDBRS8/WvGlLxBdevtXDzyNm6d+gsGx4Z4u7QexWAwMDZ6LGPv+itN11ey7tVnaFz8DkMWb8a46Pvc9tAfmTB2Dpf2v5jBUT1jmhoREZGj5ebm0tjYyKRJkzocfEhOTgFURPq8wj3b2bvo16SXLSYSJ+uts/jW5bfTb/Bob5fW4/mFhDHxrgVw1wKqCvew9p1/E9C/kH9u/idBjz3NrkYLzukXMPLGexkwYJS3yxUREflKVquVBQsWeLuMHksBVET6rPzSWp76ZDe3bb6LDEMBGyMuI/6KH5GZrL9kdobQ+CSm32NnOlDWUMb6Qju+7y8n6l8fU/Pvj1k8OBj3tRcz4Yb7iQ6I9na5IiIi0gkUQEWkzynYuo6i95/gW4eupsEcwtARPyFh0kgy+w/ydml9RqR/JDMf/gs8DPvXL2PbS/8g/NNcPl76Gj82vMX4yHTmlgxg/DX3YbXGertcEREROU8UQEWkzyjYmkvZO4+RUfMpMfiyYNRsZlxxNVHBGp3Vm/qPmUz/MZNxu93ElG4novAT8t97hcRnV1Lw5Mt8OjqGkMsuZcJV9xIUEObtckVEROQcKICKSK+3q6iCihfuIbP6I2LwZXW/2xl69cPcFBXv7dLkKAaDgZToYdwXPQzXiHvYnvE6pW/8j/5f7iBw9X/Ie+I/vPOjC5kyfi6TEyZjMVu8XbKIiIicIQVQEem1Cvbv48nl5by9oZCnfOtYnXAbQ6/5ERMUPLs9o9lM6uwbSJ19A86mRja/9zyHlizis9atvP7pd7llhYlh5n7EXjWXjBk342vy9XbJIiIichoUQEWk1zmwO4+Dbz/GmMoctrl+x70XTmTilLcID1JX257I5Gdh9NV3M/rqu7nE1cqq4lWUr/glAz7djc9Hv+HLsCcozxpG4vW3MWbClZiMJm+XLCIiIiehACoivcbBgu0ceOsx0h3vEYmR9bHX8sJ1s4iITvB2aXKemI1mJsVPgmfeoaGynPWvZtP07nsMfjePTw/8mO9f+ydmJs7gYlcqYyZehY/Jx9sli4iIyFEUQEWkx9tfUc8/cjbw0JariaKV3OhrSbn2J0yIS/J2adKJ/MMiuODrj8DXH6Gm+ABD931ORv0aNi5/k+v+8QIrwh+l/IKh9Jszl7FTrlMYFRER6QYUQEWkxyo6kM+ad5/le3snYMDAiME/YuqsOUxISPZ2adLFgmP7MSv2ZmZxMzUjitkU+DQtH37EkHfzML1j5wvrz1nzvdlMnDSXcXHj8DEqjIqIiHiDAqiI9DiHDu5l9xs/J730TS7Bxc5RF3DzJRcRF3qpt0uTbiA4MpZJ9z0K9z1KXWkRG1/7Bw0ff8Trdcv5d04OV270I6M1gfgrryf9ohvxNWsAIxERka6iACoiPUZ5eSk7Xv4pY4tfZRxO1oVfRv+rf8r3BgzzdmnSTQVGxXHBN34K3/gpU51NLD+4HMeq3zP4kx2YP/gVq0J/w6HxKcRedR3jpt2ibroiIudRfn4+OTk5FBUVYbFYWLBgwVkdZ+3atSxevJj58+cTFxd3nquUrqYAKiLdXnVDM//4vIAXl23hXcM7bLbOIP5KG+OS07xdmvQgfiY/pidOh6em01BRxobX/07Dhx8y+KOdbCh4nB8ceoZpidO4tDWVcVnX4+ejeUZFRM5WUVERCxcuJC0tjYyMDCoqKrxdknQTCqAi0m01NtSR+9rv8Nn1AX9tfIRLRyVRfdFqMhNivV2a9HD+4ZFMbBvAqMFRRtXOz5jevI51m3O47cnXWRP8K0rGDyTq8qsYN2seFh9/b5csItKj5OTkEBcXx9y5c71dinQzCqAi0u20tDSz9s2/MnDLX5lEOZst6bxz23BSB2lwITn//K2RTB5/HZO5jqbRD7HB/+/Uv/cegz7Nx+ejP5Ib9CQr7ruAkTNuYErCFAJ8ArxdsohIt1dYWEha2pn1VFq+fDlxcXEkJ+vf+95MAVREug2Xy81HX6xiWM6dTHQXssNnKBXT/syISVd4uzTpI/yCQxl/xw/gjh/QVO1g41v/oe69d/jEvZ1nP/sBF+UZmV4cTtDMGWTMuZuIMD2LJCLSkcbGxjPeZ9myZaSlpSmA9nIKoCLidW6Xi2W5G/nlsmp2FlfybHASjok/ZeS0mzAYjd4uT/oovxAr4+Z9F+Z9l+kuJ+sOrWPPnj8xYMNaAlY+z74nnufzVCvmaZMZc9sD9Avu5+2SRUREuj0FUBHxqi1fvI/h48dIbd6PIfAZ/nhzJpNGvovRaPB2aSLtTEYTmbGZZNoW4nqkme0fv07Zu68T9+VWDr20iEsD3mNY+DCuLx3I6KxrGDpkIgaDrmER6XuWL19OTk4OALm5ueTm5mK1WnnggQdOus+iRYvIzc09Zh+AmTNnkpWVdcy2S5YsYevWrTQ0NJCcnKxnTHsgBVAR8YqdG1ZQ/97PGN24mjLCKBjxAG9fNR0fX408Kt2b0deX1EtuIvWSm3C7XOzbu5kf1K9j6c4PGfb7RbifWMQH/X2pmziCAZdex6gJV+Br0lyjIn3N46seZ1vFNm+XcUaGhQ9jwfizmyrlsLS0NOLi4li4cCFxcXHMnDnzK/fJzMxk+PDhLFy4kOTk5PbQabVaj9nuueeeIzk5mYyMDPLz88nLy2PJkiXMmjXrnGqWrqUAKiJdam95Hf99+31+vPcuqghkVcoDjLruh4wLCPZ2aSJnzGA0MmDgKO5gFLen3U7JoDVse/NZLEtXMeCVXHgll1/O/gWN189iWtyFTIqfREig9asPLCLSQ1mt1vbgaLVaT+t5zqPn9gwLCzvpPvHx8e0tnllZWdjtdrZu3aoA2sMogIpIl6goLeL9997Gtr0/ZmMg44b8iAvm3M34sEhvlyZyXhgMBmJHjCN2xDgAqg/uZcvb/yEguoJPCr+g5MPFRC52sW94FJapkxk15w76xQ71ctUi0lnOtSVRTpSRkXHM+7i4OBwOh5eqkbOlAHoSdrv9FeAlIBeosNlsld6tSKRnqq+rYf0rv2FEwb+4Gie7xrzBNy7OIDrkEm+XJtKpQhIGcMF9Ni4AfuBysinhTUpLn6P/mt0ErX0Dxx/fYF1KIPsfuoEpqZcyPHI4RoMG3RIRORmL5djHdPz9/RVAe6BeG0DtdnsYMB/Ib1uUbLPZnjiDQ1zf9jp8vEpggc1myz5fNYr0Zq0tLax5628M3Pwkk6hgQ+AFWK/8JT8blvHVO4v0MiajiTFTroMp1+F2Oin44kMKF7+Mz5Y8nin4L/9XsJDbVvqRYulH1IxLSJ92E8EBYd4uW0RE5LzrtQEUeAW412az5QPY7fZku92+xGaznW4n8QVANpAMVB4+joicmtvt5sO8El549yP+VWtjt+8QKmf+jdETLvV2aSLdgsFkInnypSRP9vw/MbGxks8Pfo4x50kGfLId07vb2Wb5E/vTIjHNvoiR19zFwJCBGlVXRPqEs5k/VHqWXhlA7Xb7fCD/6NBos9ny7XZ7pd1uv95ms716Osdp63ab20llivQ6W9d8xIZP3uDh8ktJiUpg1azXmDhpmubyFDmFMEsYc1LmwMI5NFVWkPf+/6j86AP65+azwv06PzG8Rf+ABL62JZL+069gzKSrsZg1WrSI9D4Wi0UBtA/olQEUmIunBfR4q4F7gdMKoCJyevbu2EDZWz8mo+5zognDfPm9XD1pOGaTgqfImfALC2fsTd+Cm76F2+Ui/tBuYitz2bz6XUa8uApeXMuakMcoHhVP0IUXMvqyecRFDvR22SIi50V8fDz5+fksWbKEyspKAM3z2Qv11gA6E3i8g+X5QGYX1yLSa5WXlbDjxUfILH2TKMysHDCfkTf8mOuDwrxdmkiPZzAaSYgdzI2xg7lx2I3UztxP3uL/0vjpJ6SsOoBl2f9YsPMlajKHMMMyhsygVMZMuFKtoyLSY2VlZVFYWEhubi7x8fHt84FK79JbAyhARQfLKoGw0z2A3W6//qi344BfazRcEWhscfLPZQW8+Ok63uYD1kVdyaC5P2dCTH9vlybSawXF9Wf8PY/APY/gampi99LFzIpwsLRsJVUvv0roslbWBj9K0YgY/LMmkXrxjQzsN1LPjoqIV9hstjPeJzk5mQULTpy+JiMj44QpWADmzZt3VrWJd/W6ANo2+u1XbnMaQXIWMPfwdna7PQdYC6ScY4kiPZbL6WLte/+iOvc1flf/TWakDsQxcw3jE+K+emcROW+Mfn4MnnUdg4F5fJ3q4XvZ9u7zNCxdSvK6/fh/8TqOv7zOt3+cyAX9JzPZkkbmsJkE+4d6u3QREenjel0ABcJPc5vKU21w/Gi5Nput0m6359rt9sdtNtsJf5ppG/hoPkBoqP6Bl94nb+USTEt+zLjW7RSYknjltsFkjhjm7bJEBM+co+Pv+RHc8yPcra3s/TKHfZuWMiiylsX5i0nPfoGt1T9hf2oE5knjGDTzWoYNmYTJaPJ26SIi0sf0xgB62KmCaEfdc09HPp65QU8IoG3zg2YDZGdnu8/y+CLdzt79+yh78Vtk1C2lFCtrRv+C9Dn3MdDcm28fIj2XwWwmafIlJE2+hIuB5tZmtvA05Z/kkLg+n6Dc9+Gv7/O3CRYKvjaNiXETmRg2hsSYId4uXURE+oDe+Bvk4XAZdrINzuE5zt145gUV6fUq65r408e7ePnLXbxu3sPKAfMZdcNPyQwK8XZpInIGfM2+jL31Abj1AdwuF8UbvmT3ktcxBTnYWLqR3E0fkvp/ThYn+lE/ZjCRF85gzIXXER4U5e3SRUSkF+p1AbStq2wlHbeAJvMVXW8B7Hb7bmDB6c4XKtKbNDU1kPvq77HufJmXmh7lqnGDsM74kqGhgd4uTUTOkcFoJG7sJOLGTmIycJ/bTcGuNewrfobg1RsZ+OZmjG9upsDvTzx+50BiLpzJxOhxjI3NxN/H39vli4hIL9DrAmibNXTcAhoG5JzmMfI7WJYC5J5dSSLdm9vlIvfD/xKz8ldc4C5isyWdRbeNIGWQuuWJ9FYGg4HkweNI/uU4AJoqytie8xpVn+VQF+/DwryFFD77T5xfuikeFoXP+LEkTZ3D8LQL8TH6eLl6ERHpiXprAH0Fzyi2x5sFPHMa+z9js9k6CprX0/H8oiI92sadezC9fCsZLZvZa+zPpgv/wcip14OmbxDpU/zCIxl1w71ww71MB+pb6tkY9Bx1jrdI3rSPgFUfwF8/YGmEkdd+kkVGvwmMixhLWuwozMbe+iuFiIicT0ZvF9AZ2gYESrbb7e3Pa9rt9vS2dcd0q7Xb7Y62LrdHy2kb1fbo7X4I5LcdW6RXKCqv5DsvruPKf26muDWI1cN/SsIjuYycNlfhU0QI8Alg4jXfYMbC90hfu4mIF/9N5fyrqU8fQmHTIZ7MfZK8u27j04tG89L8mbz1j0fYsvsLnC6nt0sXEZFuqjf/uXIG8MhR4TLl+KlV2qzhuOdCbTZbrt1ux263H27tDAN2n2R/kR6noa6W3Jd/wZA9L7DG+Wu+NS2DCVPfIcivN98SRORcGIxGosdMJHrMRADmAGUNZWx3/IHmZV8w9MtC/Ja+Cb97k3+M9WXzPRcyPnY840JHMSR+JEZDr/ybt4iInKFe+9tm20i3J0yX0sF2HYbKti64et5TehW3y8Wa9/5Fv9W/IYtS1gVN4eUbJhA/YJC3SxORHijSP5LI7/wKvgPulhYOrl7Knk8X4+PnYHflbr7c9Qn//JOTD6NMVKbGY8nIYOCFl5E2aKKeIRUR6aN6bQAVkWNt3HMI0/PXMK5lM/mmJLbOeJKxk67wdlki0ksYfHzoN2kG/SbNYDJwF3Dw4HYKSv6KJXcjqcsO4PvJfvjdmzw8x0LVzAzGh45kjP9gRg6fhr9Zo+yKiPQFCqAivdyhsnIe//gAr+Ue4Bf+A6kfeS3pVz2Iyaz//UWkcyUkDCXhp38BwN3cTHHuCvZ8/h4Dhhj5vHkXa978O1PedLIq1EDxYCuGscNJyJrFiLGzCfUL9XL1IiLSGfQbqEgv1dhQT+7Lv2JE/j/Z1fpT7r1oGldN+zfBFnV7E5GuZ/D1JW7iVOImTuUC4AGgYuR2diX8D9fq1aTk7SNwzefw98+57huPEZo8hKlNA0kNHULq+EuJD+2HQYOjiYj0eAqgIr3M4fk8Y1f+gknuEtYHTuJv108lITnV26WJiBwjPGko4+9/FAC3203Nru3sXv4u14/xZ+2hXAKe+4CEze9wyOePrO7nS11qIkGZmSTPupZh4cPwMekPaiIiPY0CqEgvsvlAJU0LbyCjaSV7jIlsmf4sY6Zc7e2yRES+ksFgIGTwMMYOHsbYtmUNIw6w5/P3qFm1jIhN2xn0/i4OrtrFLS2v4mfy4/YtEcREJxM3cSrDx8wkwj/Cq+cgIiJfTQFUpBcoKy3hd58V89LaA3zbMgxn2gzSr/kuZh9fb5cmInLW/OP7kXrjPaTeeA8Arro6IvZu5fcBFaw/tI5xf3uBsIp98Myn7Ah4lANJgTimjCD88isYHTWa5NBkTEaTl89CpO/Kz88nJyeHoqIiLBYLCxZ85QQVPVpfO9+zpQAq0oM1NTWQ+/LjjNj1NJWt3+SurOv5+ozfE+qvbmki0vsYAwOJS8skDpidNBv3soeo2Z5HwbL3aF6zkn55+ezP28Rfwtfi2+LG9iJUJ0djHplG7PgppI6YSkxgjLdPQ6RPKCoqYuHChaSlpZGRkUFFRYW3S+pUXXW+y5cvZ9myZcydO5fk5ORO+YzOpgAq0kOt/+glIpY9ygXuQjYGjOdH11xJ4pA0b5clItJlDEYjIakjGJ06AjyNpExobeX6+kI2b/mEoMB/MeCLEnyXFsFTH7HHHx6/OhwumsCo4KEMDxnK8KTxBPgEePdERHqhnJwc4uLimDt3rrdL6RJdeb6NjY00NjZ2+ud0FgVQkR4mv7SWA8/ezYW177PfEM+mqf9k1NTrvV2WiEi3YDSbSQxJJPGCO+CtO3C3tlKzbQt7vlhC87rVRKeE8Vn5Vio//IAJr7tYEQ4lA0NxpQ0iPH0CKRkzGBw5VF13Rc5RYWEhaWl95w/jXXW+WVlZZGVldfrndCYFUJEeoramkr8tPcDfV+zjKvMw/Aankn7Dw/T3tXi7NBGRbstgNhMyYjSjRowGYArwMHBoxHr2hb6I78YNDNtxkIC1a2HhWh6Y/wyVMQHMqupPWkskkWMnMnjkhSSFDcRoMHr1XER6kp7cQnc2+tr5ngsFUJFuzu1yseadf5C49tc0tlzOVWPu4YeXPEJ0sIKniMjZih46hugFYwDPFDDNBw9yYOUn3D86lE3lm0n627uMXZkHLKXC7wnWx5moTo6m9M5LSIsczvCI4SSGJCqUioicIQVQkW5s18YvaF70A8a1bGaXKYUbr7iaoZmjvV2WiEivYjAY8OvXj5R+80gB5gy6Enf6Q9Tv3MH+1Z/QvH41Mdt2E77VwV93vEzT1ia+/baT8AYTtckx+KQNIyr9AoamZimUyjH2zrv9hGXBl15C+C234GpoYP/8e09YH3rNNYRdew2tDgcHH3jwhPXWm28i5LLLaCkqovCHJ46yGv61rxE8fRpN+QUU22wnrI+87xsETppE49atlPzq18esG7DwuTM5vQ4tX76cnJwcAHJzc8nNzcVqtfLAAw+ccr+1a9eyePFi5s+fz+bNm8nNzQUgOTmZOXPm0NDQwOLFi8nPz8dqtZKVlUVGRsYxx2hsbGTJkiUUFBTQ0NBAcnIyM2fOxGq1ntbndPT85lcd86vO93zXdPS2cXFxx6xbtGgRBQUFOBwOrFYrqampzJo165Q/d29QABXphirqmvnyv49yceHfqDYEs3qkjYyrHsBo1v+yIiJdweDjQ2DacIalDYc7PMvcLhdf4CS/Mp/SHX/AuGYTIR8fxJRzEPiIZYMMPHVLKKkRqUwpDiN2yBhShk4kOSwZs1H3b+kb0tLSiIuLY+HChcTFxTFz5swz2v+VV14hLi6OyZMnk5+fT15eHo2NjTgcDlJTU0lOTmbZsmUsXryY+Pj49hDmcDjIzs4GYPLkyQBs2bKFP//5z8ybN++EEWM7+pwlS5YcE9hO55inOt/OqKkjjY2NZGdn43A4SE9Pbx+Fd8WKFaSkpHS70XJ1NxTpRlpbWnhp5S6e+Gg/w5ojiYy/jqG3/IZx1ihvlyYi0ucZjEZ8MDI0fChDf/kMAK6mJuq2buHA6s+INVZxebKZbcWbyHz8C8yu96iywJuxRqoTI6ifNJKIiZMZFj6MIdYhBPoEevmMpLOdqkXR6O9/yvVmq/WU633i4k653i954CnXW1JTz0uL5/GsVmt7657Vaj3j8GO1Wttb/bKysnj88cfJz89n7ty57YP8HA58mzdvbg+gixcvBuDBBx/EYrG075+dnc3ixYtPaIE9/nPsdjtbt249JuydzjFPdb6dUVNHlixZgsPhOKFVdNasWe2f250ogIp0E1u+eA/Lkkdobh5CWuL3ePTKexgaG+ztskRE5BSMfn4Ej0kndUw6qcBMwN3aSu2ADRTmLse5OZeE7fkM+aKct32/5BnDUkJr3Sx41Ulpv2CcgxMJGj6ShNFZDI0bSXRANAaDwdunJeI1x3ertVqtFBUVHTPCbHx8PHBk4B+Hw0F+fj4zZ848IXDNnDmThQsXkpeXd8wxjv+cuLg4HA5H+/uzOebROqOmk8nNzW1viT1adwyfoAAq4nUlB/PZ9+JDjKvJoZhIRmddyp2XTNAvICIiPZTBbCZ4bAZDxx75ZdLd2srw5ma+7q5m14bPMH38D/pvKcZv9RZgCy7DizxyjZFdoyIYax7I2NoIokaNJyVpDMmhyfiafL13QiJd6PjQ5O/v/5VB6nBIOz6AwZGwevDgwWPCXkefc3wAPdNjdnZNHSkqKgLodt1sT0UBVMRLGlucfPzmP7lo808YhYsv+9/N6JseJTYoxNuliYjIeWYwmzGZzcQSQOykG2HSjbjdbloOFlK5eR3F61Zw2cQENvkdwv/9FUx4eRXwHuVBsD7KQFW/MPZfmUH/xBEMtg5msHUwCUEJGvBIhCMtoR1NhdLQ0OCVY3ZGTafzeT2BAqhIF3O73XyyaR/2D/JxV5iJCZ9A3PVPMHFgqrdLExGRLmQwGPDtl0B0vwSiL7mCUcD1gHNENbWzN1CycSW+WzcxcGc+AV9U8OiUbbxV8SlXfeGidbOLnBgzDYnRmAYnY00bw4AhGQwOH0K4JdzbpybSpQ63MnbUInm4hTAhIaFLj9kZNZ3qcwoLC8/5WF1FAVSkC+3buYmK176Pq64Zc9ijPHrXHDIG3+XtskREpBsxhYQQOnkKoZOntC9zt7bymtlMXUsd+X7PUV//IeH5BwjcUgjvFdJsXsbt3zfhMhq4eGcgA4yRWIYOJXpEJknxaSSHJhPsq3EFpHeyWq3ExcWxYsUKMjMzj5niJCcnB4vFctKusp11zM6o6WTS09PJzc2lqKjomC6/jY2NNDQ0HPPZ3YECqEgXqKupZMMLPyWz8AUiMNM09D7ev2kyPppWRUREToOh7d+LQJ9ARt50H9x0HwDO2load+zAsX8X/zeuHzsdO+n39r+I37Ib2A28S1kwPDfQwOtz40gJTWFUQwSx/VMZmDCc5NBkrJbu9cupyNmYO3cu2dnZZGdnk5aWhsViYevWrTgcDubNm+eVY3ZGTR2ZNWsWBQUFZGdnk56eTnh4OIWFheTl5TFz5kyysrLO22edD/rtV6QTud1uli3NYcgn9zKJctaEXUzSTb9lQtwAb5cmIiK9gCkoiMD0dALT0+kHTIqfhPvV22ktLKR++zZKN68hcHsewyytTIgdQH5VPiN/vYzoyjcpC4b3Iw2UxVqoHJkIF2SQHJZMSlgKKaEpRPpHakA86TGsVisPPvggS5YsoaCggIaGBuLj45k3b95ZtwCe6zE7o6aOWCwWHnjgARYtWkRBQQG5ubntc5J2t/AJYHC73d6uodfJzs52z58/39tliJftKnbws0Xb2bx7H/8J+hsBs3/MsPGnnsdJRESks1V//DFleeuo2rYJZ/4e/A6UsTHDylOznNQ2VfNktpOSMAOHon1pGRCL76AUrKmjSYwdSlJoEglBCZiNasPYunUrqakav0H6ljO57u12+1qbzZZ5/HLdPUTOs7qaSja+8BMCDq5gq/EXPHTVeEZPmIvJqL8ii4iI94VMn07I9Ont791OJ8MbG7klIIBDpXspzv05obvzGbGuFPPKvcBeXrzwU57IMhJc7+bmpVAfb8WQ1I/gQcOIHphGkjWZpJAkwi3hajUVkVNSABU5T9wuF7nv/4d+q37BBZSzJvwScm6fQER4hLdLExEROSmDyYQhMBCAmOgkYv7yT8Dz71rLwYM07drF/bFWromAonUrSPhHNj7ryoAyYD3NZvjTVUZWDzGS2BhI1qEwfAcmEzYkjf7Rg0kKSWJAyAAs5lPP5SgifYMCqMh5kL93D3Uv3ElG0zp2mwbiuPgZMtXdVkREejCD0Yhv//749u9PMBAJjLl4DO7Z9+GsqKC5oICG3btx7NjM16ePZLq1GecHnzD++RXAXuATyoJhfYSBB2abcCfGkWqIZ4AlnqgBw0gMHUD/kP70C+qHr8nXuycrIl1GAVTkHNQ1tvDnT3bx7Oc7ecG3nlXDFpBx/UOYzD7eLk1ERKRTGAwGzBERmCMiCMjMJIIbGQRMAlyDbqDlir00FRRQt2sH7NhMcH4BN46ZwXZzOQlvrWbWOytpNkOxFT63Gii2Glg2O46YyCSSLHEkhA+kf0gi/YP70z+4PwE+Ad4+ZRE5jxRARc7C4e62ltVP8ULDw1yZOYTEi5cSGazuRSIi0ncZfX3xGzwYv8GDCZk9m8MzEo5p+9qUsJu6zFXUFOzEnL+D2L37Me51UHVnBnsbDhD+z8WMzW2k2ApfhBt43Qq1sSEcuHAI/UMSSQxJJDG4LZyG9CfEN8RLZyoiZ0sBVOQM7d2+jurXv9ve3fZ/tyQzYtRob5clIiLS7fmlpOCXkkL4UcvcLhe/MhoBqAn4lMqhS/HN30H83v2YdpXRGNLMX6Ya+aLwCxL/+DruUjcrww28ZYWq6ECciXEwYggJQQkkBCXQL6gfCcEJxAXGqWuvSDekACpymuoaGtnw3ENkFj6P1eDHqmEPk3H9D9TdVkRE5BwY2sInQPDUqQRPndr+3t3aSmtFBf+JjgaguPL/qPxyBf327sW4sxyjs5aipGL+EO/i430f8+3XGilogS/D4FCYgcaYMNxJ/QgcmEJCcMIxITU6IBqT0XROtbvdbo36K33G+Zq+UwFU5Cu43W7e2VTELxbl8evGDWyImE3yzb9lfEx/b5cmIiLSqxnMZnzawidA7Pz7iJ1/H+AJpy0HDzKwsZHpQ4ficrso2Ph9GrduxZ1XjKmhCahg2xj42/UVLM5fzMMvtbLOH94Pg9JwM87YSExJiYTHJbWH04TgBOID44nwj8BoMHZYF4DRaMTlcmEynVuIFekpnE7nebneFUBFTmHv9vWUv/FDflN1MxFxgwi55VUyBkZ/9Y4iIiLSqQxmM74DBrS/NxqMpPz2j4Dnj8fOykpa9u9noK8v1wwbRnNjPQUf3kXLgQMYt1ZgcLUARXx5kZP/TC+gpqac773hYluYp/W0IsyEOyYS84D+hEf0Iy4w7sgrKA4fPx/q6+sJDg72zg9ApIvV1tYSEHDug4IpgIp0oK6mko0v/ISMwhewGvywXzCPqVdMxmRUNxsREZHuzmAwYLZaMVut7ct8LQEMff5FANzNzbQUFtK8/wADo6P52tAhVB/Yw8G3voVrayHG+kbABRSRc7WZtzMLcReW8LUPWlkVAqVhBqyjJjN9yl2ExoXj4+OHj8kHH+NRL5MPZoNZXXSlV3A6nVRUVBAZGXnOx1IAFTmK2+0m9/1n6bfyMS6gnDXWSxh48++Yoe62IiIivYbB1xffpCR8k5Lal4X0SyJk0Tu43W5c1dW0HDxIS2Eh9w4ezP0DBlCbt5mDOY/g3FWEoaYO99LltPqOp3lSBs5INy2tNYTVuGk0Qa0ZWk3QajLg9vPBbPLFx+iD2Wg+Ek7bvjcZTAqp0i253W6cTie1tbVUVFQQGBh4Xlr8FUBF2uw6VIvt7c1cuudtrH4hbLv4GTLHz/J2WSIiItKFDAYDptBQTKGhWNLS2pcHpY1g6NuLAHDW1tJysJDGwoM0WkKpqWylsa6Fg9XV0NoKRw3WUh/iR4vJjampFb8mF04juAx4vhqhxWzAaDRiMpjaXye8NxgVUsUrTCYTAQEBREZGEhwcfF6uQwVQ6fPqaqrY+MJP+MP+FLabU7ni4l8w4ILBGt1WREREOmQKCsI0dAiWoUMAiD1uvau+npbCQloOHiQgbSzGwECqP/yQ8v/8h+bCQpylpRicLgA++ett7PerJXHxOlJXFHIoyEVpsIvyECgLMbB0hAGXyUikXzjRQbHEBMQQHRBNTGAMMQGeV2RAJFH+UQT5BCmoSrenACp9ltvlYt2S/xL/hZ0LKOPu+K8z7vb7iAjy83ZpIiIi0oMZAwLwGzQIv0GD2peFzJ5NyOzZALidTlrLymgtKuK+UaMwGI1U175HdcP7DCguormwENemCtxGuHD+zzjUWEbi3xaTsGYLjtBtHApyURLUyhdWA4smeEbqDa1zg8VCcGgU0QHRRPpHEhUQ5fnqH0WUfxSRAZFE+0cT6heqoCpeowAqfdLB/DzKXnmQ9IZV5JuS2Hbx01yi7rYiIiLSBQwmEz4xMfjExLQvC7n0UkIuvbT9vbu5mdayMtLi4wGovjaZ+n6riCwqJqmoiJb8ItwBFq766eOUNpQS8aO/Eba+gGZLEzWhJVQEwc5oJ3+a6mlpHXrATasRKoKhPtiH8MC2UHp8UA2Iav9q9bOe81ypIsdTAJU+pbHFSfbSfJo+/QvfNG7ky6E/IHPuAsw+vt4uTURERKSdwdcXn7bwCRByySWEXHLJMdu4mpsx+np+h6n5RhBNO3fSWnKIiEOH6FdSQnpILPfd8ivKGsqoufFujAUHAHAbXDSElrIrrYUXr6pn7aG1jPvSwWaTJ6BWBBuoCIJmiwmrfzgRlggi/COO+Rp+3HKrxYrZqGghX01XifQZm5a+yfMrdvFiZSpXjbqL+qkLmBif5O2yRERERM7K4fAJEDx1KsFTp3a4XaJPIo1P/pWWg4W0HiqhpaSE1pJDDEhK4sar7gFg+x/G46quOWa/wgsH8dkdo6horGDyv3Kp9G2h2NJEQYCTyiA4EGGgPNTTldeAgTC/MCL8Iwi3HBVOjw+ulnAi/CPwNemP/32VAqj0eocO7mHfi98hs+YTbjYO5/K732LK4ChvlyUiIiLSZSxDh2IZOvSk6wd/9hmthw55wumhUlpLSug3MIkZWdNxNTdT8MSVtJaV4aprad+n5ZY5lFw1C0fZQQbf/1fqQ5zUBJdTEVhGqX8rKwe2sCmmCZPTTXgNVAZ5Rv0FCPYJbg+r4ZZwrBar5+VnPeH7cEu4AmsvogAqvVZrSzOrX36CkTv+ykha+XLAvYy9xYafJdDbpYmIiIh0K0Z/f3wHDMB3wIAT1/n6kvLB+4BnhN/WsjJay8owh4czakASrSEODk3dSWtpqWfdrlKc5VXMy/ox/jddS+mWXOpu/DoAzkALTWEB1IX4subiCDYlGSg9sBPfvEPs9m3AEeCmMhCqA8BpOjJQUoA5oD2MhvmFHfP94QB79PcaEbj7UgCVXmnt3greevnfPFb3Wzb6jyPyhj8zMTntq3cUERERkZMyBgTgm5iIb2Ji+zKz1Ur8r355zHbu1lbcLhdGsy/xiWnU/vIXnoBaWtb2tZT0kfcQlJVF7efL2P/Le074rPJf3EfRqDicG/OIfPtLagINOPwrKLOUUGJp4q24Bhy+zRjcbtwARwVOs9F8pDW17WuoXyihfqGE+YUd8zXU1/N9sG+wBl3qAgqg0qs4yop5fdEifr49nviQ0Vx+0ULGX3QFBqPR26WJiIiI9BkGs5nDcdBstRJ23XUn3TZgwnhSPvyA1rJynBXltJZX0FpeRsrEq/Dtl0BN4accKltF6/ZyXFVV7fv98vXXcA1OouSFhTT84W+4woJpCfWnIdiPuiAzq68ZSpFvPYb9xTSX5rPZ3ECRbx1VFtcxravtNWMg2DeYML8wwvzCCPEL6fD7UN9QQi2h7d8H+gSqtfUMKIBKr+ByOlnz5l8YvOl3zHU7qZy8iG/MGkOgny5xERERke7M6Ot7Qqvq0Y4eYMnd3Eyrw0FrWRm+yckYfSzEjBxPzS1VnvBaVk5rRQXOfWVM+/UCzOHhHPrTnyj/x9PHHjQokJbXnqLK1IzznRxMG7ZRF2im2t9Npb+bcksT6weVU1BVQG19JVXO2mNaWI9mNpo9obStVTXEL4QQ36Nebe+DfYOPWRbsG4zFZOlz4VW/nUuPt3vTl7S89R3Gt24lz3cEAVc/yffTMr1dloiIiIicZwZf3xPmUA1IH0tA+tiT7mO96WYCL7gAZ4UDp6OCVocDp6OSmMTxGAwGSpvWU7mlBGdFBe4WzyBLhoAAHsldC8DBH/6Q6vfexxgWijssmNaQAJqiw9j3zcupaqrCtHoTzY5KKvxaOeTXxCGf/ew011HprKGupe6U5+Nj9DkmkHYUXI8PrYff99SWVwVQ6bFqGlv4xzvL+dbGa6k1BLJmzC/JuPKb6m4rIiIiIu18YqLxiYk+6fqoB+4n6oH7cbvduOrqcToqcNUcmZImeMZMfKKjPcG1woGzooKQKhcZg68BYO9v76R+5cpjjuk3eDDJi5bQ6mrlwI8eobmoiJYgC81BfjQGmamOC2X/hESqm6sxFBygqqWeMpooay1nb/VeqpurqWmuweV2nbRuo8FIsG8w94+5nxuH3XiOP6WuowAqPY7b5eLzpTn8YLmR0tomEob8mEuunEdmxMlvLCIiIiIip2IwGDAFBWIKOnbGhJCLZxNy8eyT7pfwh997nl91VOCsqKC1shKjfwDg6Z7r5xuAu7EFY3Ep5soqLNXVJEyaxMVffwyAXQ/NoKWw0HMwkwlTSAjBF88mxvYz6lrqOPSrX9OMk6ZAX+oDTdQFGHHEBFAc40t1czWJIR13Xe6uFEClR9m/cwOVr36HyY3rmBT2JF+7/WpG97/c22WJiIiISB9ljojAHBFx0vVxj9mPee92OnE3Nra/j7XbaS0rw1lVibPS8/IbMqS9hbPki7UYDpXi19CAH2AFRtx4I3H2RzvnhDqZAqj0CI31tax/4Wek73+WMIMPa1IX8Pvrb8Nk1iUsIiIiIj2HwWTCEHiklTVoyuRTbj/ogw8AcDU1tQXUKoyBAZ1aY2fSb+/S7X2SV0TiKxcz0b2XNaGzSLrlD4yP7VldDUREREREzoXRzw/jcQMw9UQKoNJtFR/ch+2jEj7IO8S3wq7issnjyZw8x9tliYiIiIjIWVIAlW6npbmJtS/9klG7nsbiuo8Fl9zO3ZMvxdes0W1FRERERHoyBVDpVvK+eI+AJT9komsf6wMn8fCNtxA3IMXbZYmIiIiIyHmgACrdQlltExv//SDTy/9HkSGK9Vn/x5hZt3i7LBEREREROY8UQMWrnK2tvLhqL49/uIuLWmMIGHAno2/+OXFBId4uTUREREREzjMFUPGanes/x734e+xryGBE0p08eNVDDIoO8nZZIiIiIiLSSRRApctVOcrY9vwPySx9nUpDKDMnZfLwZRMwGAzeLk1ERERERDqRAqh0GbfbzRcfvMiQLx8m013FmujrSL31ccaFRXq7NBERERER6QIKoNIldh2q4SdvbqapoITfBMZQecV/mTBmirfLEhERERGRLqQAKp2qvq6aDc//hB37S9hqvpsFV1/L4MwHMJo0p6eIiIiISF+jACqdZv2SF4hZ/jMuoBRTxGV8fPcUIoL9vV2WiIiIiIh4iQKonHeFe3dx6KVvM6b+C/YYE9k6+0XGT7zU22WJiIiIiIiXKYDKedPU6uQfnxfw+sfLedm4hS8Hf5eMGx7Bx9fP26WJiIiIiEg3oAAq58XmZW+z67P/8duaW7ls5AiaL9nAxIhwb5clIiIiIiLdiAKonJOywr3sefF7ZFbnYDXE8PzNPyNrdKq3yxIRERERkW5IAVTOirO1ldWvPMHwbX9mFC18mfh1xtxsJyEgyNuliYiIiIhIN6UAKmds3T4Hv3xjFX+reIY9llTC5v6ZiYNGerssERERERHp5hRA5bRVlZew5uVf841904gIDmLzZW8ybdxoDEbN6SkiIiIiIl9NAVS+ktvlYvVbTzF4wxNc5K7lZyMzuOa6ywny0+UjIiIiIiKnTwlCTik/bxVNb3yH8S1b2OaTiuOqJ5k3YqK3yxIRERERkR5IAVQ6VNfUyp9ydjBn5Xz6G0tZPcpOxlX3YzSZvF2aiIiIiIj0UAqgcgy3y8W6D//LgtwwdlabsIz6OXfNymRcVJy3SxMRERERkR5OAVTaHdi1mYpXv0N642pus8xj5Dd/Tnqi1dtliYiIiIhIL9FrA6jdbg8D5gP5bYuSbTbbE121f0/S2FDHuv89SvrefxOGmZXDHuLW63+I2cfX26WJiIiIiEgv0pvnz3gFeNVms71qs9leBV612+1LunD/HmHpjlI+/P3XuGBfNptDJtNw75dMuPknCp8iIiIiInLe9coAarfb5wP5NpvtcOslbd9X2u326zt7/57g0MECfvyf97n9X6t40fc6Nk9/lozvv0lUfJK3SxMRERERkV6qt3bBnYunBfN4q4F7gVc7ef9uq7WlmTUv/4aRO55iqnskcbP/j3suTMbPrNFtRURERESkc/XWADoTeLyD5flAZhfs3y1tW/khvh88xETXHjYEjGf4DX9m1sDB3i5LRERERET6iN4aQAEqOlhWCYR10f7dRm1TK28vfJJbDvycYiJZN+kpxsy8BYOxV/bAFhERERGRbqrXBdC20Wu/chubzVZ5Pvdve250PkBoaOhpVNp1/MxG3qwdTmLC10m/+WfEBnWv+kREREREpG/odQEUCD/NbSrP5/42my0byAbIzs52n8YxuoyPycjz91+Mj+lSb5ciIiIiIiJ9WG/ug3mqINlR99rzvX+34mPqzf+pRURERESkJ+iNqeRwOAw72QYn6357nvYXERERERGRDvS6ANoWDivpuAUzmZN3vT0v+4uIiIiIiEjHel0AbbOGjlsww4CcLthfREREREREjtNbA+grwLgOls8CXuqC/UVEREREROQ4vTKAto1Im2y325MPL7Pb7elt6149elu73e6w2+27z3Z/EREREREROT29cRqWw2YAjxwVLlNsNtusDrZbQ8fPdZ7u/iIiIiIiInIaDG53t5qyslfIzs52z58/39tliIiIiIiIeIXdbl9rs9kyj1/eK7vgioiIiIiISPfTm7vgek1RUVGZ3W7f6+06OhAJlHm7CJFOoutbejNd39Kb6fqW3qwvX98DOlqoLrh9iN1uX9NRM7hIb6DrW3ozXd/Sm+n6lt5M1/eJ1AVXREREREREuoQCqIiIiIiIiHQJBdC+JdvbBYh0Il3f0pvp+pbeTNe39Ga6vo+jZ0BFRERERESkS6gFVERERERERLqEAqiIiIiIiIh0Cc0DKiK9lt1ufwV4CcgFKmw2W6V3KxIRka+ie7dI76ZnQHs4u90eBswH8tsWJdtstie6an+RznQeru/jb3CVwAKbzaYBAaRbsNvt84G5Nptt1hnuF4bu3dLNncP1rXu3dGt2uz0duBEIA5Lx3IsXnO4fS/r6PVwtoD3fK8C9NpstH8Butyfb7fYlZ3CzP9f9RTrTuV6fC/CMPpcMVB4+joi32e32Z/D8Uh0GhJ/FIXTvlm7rPFzfundLt9UWPjNtNtuCo5Y9DhTY7faBpxlC+/Q9XM+A9mBtf1nMP/rG3PZ9pd1uv76z9xfpTOfr+rTZbJU2my1Xv8BId2Kz2e5t++Vl7Znuq3u3dHfncn0fdQzdu6W7mnl8a3zb9V4B/P2rdtY9XAG0p5tLxzf31cC9XbC/SGfS9SnSMf2/ISLiPY+cJCi+Csw8jf37/D1cAbRnm8mRvuNHywcyu2B/kc6k61OkY/p/Q0TEeyrouGt5OZ5u51+lz9/D9Qxoz1fRwbJKTu9/gPOxv0hnOufr87i/Uo4Dfq0RFaUX0L1bejXdu6W7stlsKSdZNY6Og2VH+vQ9XC2gPVTb6Flnvc257i/Smc7j9TkLyLHZbK/abLZXgV9zDs8kiXib7t3SR+jeLT3RTOCZU22ge7iHAmjPdTqjyp1qm3PdX6QznZfr02azzTr6L+Zt3+e2jVYn0hPp3i29nu7d0tPY7fYf4hlY6KumUtE9HAXQ3uBUF2lHzfvne3+RztQZ12c+0CdGmZNeTfdu6Wt075ZuqW1alnuBGWewW5++hyuA9lyHL86wk23wFc9KnOv+Ip2pM6/P3XjmlhPpiXTvlr5K927prh4HZp3mvVf3cBRAe6y2i7OSjv+Ckty2rtP2F+lM5+P6tNvtu/vKfFrSd+jeLb2d7t3Sk9jt9leAe093vlrdwz0UQHu2NXT8F5QwIKcL9hfpTOfj+uzoH4QUIPfsShLpFnTvlt5O927p9tqeSf710eGzrTvuV+nz93AF0J7tFTxDPh9vFvBSF+wv0pnO9fp8xmazdfTLyvV8xSh1It2c7t3Sm+neLd2e3W6fD7zUwbU68zR27/P3cAXQHsxms2UDyXa7vf2ZiMN/eWkbtpyjljvsdvvus91fpKud6/UN5LT9A3H0dodHqcvupLJFzlTYqVbq3i09XNipVureLT2R3W6fiadFPtxut89se13fdt2OO25b3cM7YPZ2AXLOZgCPHHVxp9hstlkdbLeGjvuVn+7+It5w1te3zWbLtdvth7vIgOcXod26vqU7sNvtz+B53icTCLPb7UvwdDs8vvVH927pcc7l+ta9W7qztjk6l7S9/WEHmxz/RxLdwztgcLvd3q5BRERERERE+gB1wRUREREREZEuoQAqIiIiIiIiXUIBVERERERERLqEAqiIiIiIiIh0CQVQERERERER6RIKoCIiIiIiItIlFEBFRERERESkSyiAioiIiIiISJdQABUREREREZEuoQAqIiIiIiIiXUIBVERERERERLqEAqiIiIiIiIh0CQVQERERERER6RIKoCIiIiIiItIlFEBFRERERESkSyiAioiIiIiISJdQABUREREREZEuoQAqIiIiIiIiXUIBVERERERERLqEAqiIiIiIiIh0CQXQr2C3239ot9vne7sOERERERGRns7s7QK6K7vdPhNIB24EnvFyOSIiIiIiIj2eAuhJ2Gy2HCDHbreP83YtIiIiIiIivYG64IqIiIiIiEiX6BEtoG3PYM612WyzTrI+DJgP5LctSrbZbE90UXkiIiIiIiJyGrp1ALXb7c8AlUAYEH6KTV8B7rXZbPlt+yXb7fYlJwusne2JJ55wh4WFeeOjRUREREREvK6oqKjMZrNFHb+8WwdQm812L7S3gGZ2tE3buvzD4bNtv3y73V5pt9uvt9lsr3ZNtUeEhYUxf74GzhURERERkb7Jbrfv7Wh5tw6gp2kunhbQ460G7gVehfagmvEVx3qlbfAhEREREREROc96QwCdCTzewfJ8jmo1tdls2V1WkYiIiIiIiJygt4yCW9HBsko8z46KiIiIiIhIN9CjW0DbRr/9ym1sNlvlWRw7HU/r6kwgue2zsk92rLYuvvMBQkNDz/TjREREREREer0eHUA59ci4R29TeaYHttlsuUAucFrTubR18c0GyM7Odp/p54mIiIiIiPR2vaUL7qmCaEfdc0VERERERKSL9fQAejhchp1sg7PpfisiIiIiIiLnX48OoG3hspKOW0CTOYuutyIiIiIiItI5evozoABr6LgFNAzQnJ4iIiIiItL9uVzQXAMmP/CxQH0F7F8FTdXQWNX2tRrG3ApRQ2DPcsj/BKb/xNuVn5HeEEBfAWZ1sHwW8EwX1yIiIiIiIn2N2w0tDZ6g6GMBfys01cKO948EyMZqz/dpV8PAKVC6HV752pFg2VQNuOHav8OoG+DQVvjfjcd+jskXEi/wBFCTD7Q2eeNsz0lPCaBhJ1ths9my7Xb7vXa7Pdlms+VD+xQq2Gy2V7uoPhERERER6cmcrW0hEAgI97RIbn0LGirbAmTb16TJMOI6z/d/n962rgqczZ59p/0ELnrIs/1rdx85vsEElhCIHekJoL6BED4Q/EI8yw9/jR3l2T5uFHz9Y88yS6hnvY/lyPH6j/e8ephuHUDtdvszeJ7lzATC7Hb7EiAfeKZtmpTDZgCP2O323W3vU2w2W0etoiIiIiIi0ls5WzwtkZYQz/vdn0BtCTQ4jgTFiEEwri0Y/nM2VB30LG+u8Swbcxtc/RQYDPDq3eB2epYbzWAJg8Boz3ufAE+YtIR5AqJ/29eETM/6oFj41qojwdInwHPMw0L7wU3Pn/xc/IKhX8Z5+sF0H906gNpstntPc7tKYEHnViMiIiIiIl2qfDdUF3oC5OGXbyCMv8ez/u0HoHCdp5WyweEJkUlT4M7FnvXvfB8qdh85nm8wDLv8SACNHOIJpJbQI0EyZrhnncEA963wBEH/sBMDpMkH5v7n5LWbzBA19Pz8HHqRbh1ARURERESkB2tt8gymU18ODRWe71vqYcwtnvVfPg35nx4bMP2C4YG2zo7vPgS7Pzr2mFGpRwKoyRdC4j2h0d/qeUWkHNn2puc92xwOl6bj4s9Vfz11/dHDzvbM5SQUQEVERERE5NTcbmiqORIiY0d5wtye5VDwmWfZ4XUNFZ5nF01meP9hWPOvY49lNMPomz2tidUHofqAJzhGD/N8DY47su20H8Pk7xwJl/5WT0vkYZf/7tR1R6eetx+BnB8KoCIiIiIifVVtKZRs8gTHujJPS2V9GVy0AIJjIXchfPSYp2XS1XJkv+/mQWgC7F0Onz3haV0MCIeACM+zj62NYAryDNYTM8KzPCAc/MM9Xw+b/fNT19cLn4Hs6xRARURERER6MrfbM4hOfbnnVVcG8WM8XVOLN8MXT3lC5eF19RVw68swYBLs/hjemH/UwQyegJh5lyeAhiXC0EuPDY/+4Z5nIgGyHoQp3wejqePakiZ7XiJtFEBFRERERLoblwuMRs9ckns+h7rStleZ5+uYWyFlGhxc6xnJ1dV67P7X/RNGXu/pNluw1BMcAyMhPMXTGhkY5dkuZRrc+a5nXUCkJ1geHSaTL/K8Tsbsd95PXXo3BVARERERkc7mbG1rgWwLkkExEJPmCZjvLzgSLA+HzAsfginf8zxP+b+bjhzHN8gTFgfP9rwP6QeT7veEx8DItq6uEUcG4hlwAXxvy8nrCor2vES6iAKoiIiIiMi5KN4MNcVQd8gz52RtqWdAnfTbPS2Zvx/qWXe08fPhst96Rmjd9ZEnPAZGeaYECYyChHTPdsFxcM8nR1oofQOOPU5wDMx8tEtOU+R8UAAVERERETnM5fS0VLbUgzXJs2zts1C2w9M6eThgxo6Aa7M965+fCzWFR47hEwCjbvAEUKMRxtwMZn8IivKEy8CoI8c2+8L3t528HpPPkTAq0gsogIqIiIhI7+dsbQuQxZ7WytZGGH6NZ90Sm2cuysOtmG4XxIyE+5Z51q9b6GnlPNxdNXwgRB01P+Q1T4PZ0hYwo8Ev6NjPnvVYl5yiSE+gACoiIiIiPVtdOVTugZoSqCnyBMnGSk8XV4BFD0Luc55geZh/+JEAitvTKhk7wjOFSFAMWAcc2faOxZ7BdgyGjj//VIP0iMgxFEBFREREpPtxtoDB5OnCemirZ77JwwGztu3rXR+AbyAs+wN88dejdjZ4AuXsX3q6uA680NMyGRzjeaYyKNYzxchhX9VC6WPplFMU6YsUQEVERESk67Q2tz1HWQKRg8ESCvtXQ+5/PC2Xh0NmfRl8e41nm92fwAePgMHoCZbBsRCSAC0NngA6+mYYkOVZHhzrCZumo37NHXGd105XRI6lACoiIiIi50dzHVQXQfVBqC6ExIme5yX3r4J3f+BZVld6ZPt5b3rmoawt9owEGxQDof2gX4anldK37VnKMTd7ussGRh0bLA+LHeF5iUi3pwAqIiIiIqfmdkNTtSdAHv1KvsgTMkvy4N+Xep67PNpVf/MEUN9AT7iMH+vpAhsc52mpjBvt2S51jud1Mv5W8O+0sxORLqQAKiIiItLXuVxQsrktWB48KmBOhdE3errL/n7oifv5+HsCaFAMjJwLIfFHvRI8L4CY4XDrK116SiLSPSmAioiIiPRWbveRkVu3vw+V+44NmAMugOk/8az/+zRwtXq+Nxg9rZSRgzzvA6Ng9i88wTK4LWAGx3kG+AEIjIDLf9e15yYiPZICqIiIiEhP5HZDS72neyvAxpehZIsnYFYdgKqDnpbHW170rH/3IajaByZfT3gMSTjyjKXRCDe9AAERnnB5/CA+RhNMur9rz09EeiUFUBEREZHuqLneM2DP4fko1z0P+1Z4gmXVAU/QtCbBN7/wrF/zLziwBkITIKSfp3UzIePI8ea9Af5hnpDZ0XyWQy7u7DMSEVEAFREREelyzhbPVCPVRZA4wbNs3fOwdRFUt7VeNlSAXyg8ss+zPv9TKFjqCZgxaTB4NkSkHDnmLS97WjSNxo4/83B3WhERL1IAFRERETmf3G6oK4Oq/Z5WykEzPYP1bHwZVmV7wmVtMbhdnu0fOQB+wZ5tK/e1TUMyzvM1tL9ngCCjEa7N7rjl8jBLSNecn4jIOVAAFRERETkTTTVHnrGsPgBDL4OgaE/r5ZKfeZY7m45s/82VED3M872Pv2dk2dB+npbM0H6eZzIBLvqh53UypwqfIiI9hAKoiIiIyGGtTW2D+Bw8MpjPsCs8ATL/U3jpdmiqOnaf0P4waIbn2cq4MTDscs+ykLaAaU3ybDfqBs9LRKQPUwAVERGRvsHlPDFcVh/0tGCmTIOijfDMlBP3C0nwBNDQ/p45MQ8Hy8OvoFjPdgMmeV4iInJSCqAiIiLSO7hccHDNkWBZXej5fvAsSL8d6ivgyZHH7uMXAhGDPQE0LBGm/dgzDUlIQlsrZjz4Bni2jUiBy37b9eclItKLKICKiIhI9+Z2H3n+cdu74NjTFjDbWjMHXACzHvOs/8/l4Gz2fO8T6HnOsv94z/vASJjz57ZpStpeRw/c4x926mcwRUTknCmAioiIiPe43dBUDZZQz/sNL0HJ5qNaMA9CdCrc+rJn/QePeAKo2b8tSMZDQKRnndEIt73meRYzJMFzzKMH7jEYIOOOLj09ERE5lgKoiIiIdA6329Pttb4MooZ6lq19FvYs84TL6gOer9Yk+PZqz/rc5+DAqrZusP08rZvxY48c87bXwd/qeXU0KuzACzv9tERE5OwpgIqIiMiZcbuhwQE1xVBTBLUlMPpmTyBc+QxsetWzrrbY0x3WN8gz16XB4AmX+770tF4mZEJaAoQnHzn2LS96us4ajR1/dkRK15yjiIh0CgVQEREROaK5Dir3e4Ll0QFz2o88XVqXPQmf/OrYeS7BM/WIJdQz0qyPv2c02OBYzysk/shznFc9derP9wvutFMTERHvUwAVERHp7VwuwA1Gk6fLa8HnRwJmbbHn65w/Q9QQ2PA/eOf7x+7vFwLj7vEEzLhRMOFeCI5rC5hxEBzjaeUE/r+9O4+Pq7rvPv6ZRdJoXyxLlhewZRtsgVlsICEsDWCHLJCF2IEkJG3zJDZtUkhoiiFNenPSNAmkTZs0TWrneZqSHWxMUkigsQhhJ2Cb1TJgW94tL7JWSxpJszx/nJnRNpLl0WhG0nzfr5deM3PPvXd+Ix2dmd+cc8/h0r+2PyIiInEoARUREZmMQiHoarK9kyePQflCuyZl4y546l/s9o5jcPI4dByHj/4SzrrWrnX54Gp7juyCviQy2qNZfRV8+P/1SzBnQHZ+3/POv9r+iIiIJEAJqIiIyEQSDEDjmzapPHkskkQeiyR+V8GJ3fDj90BHI4SDfcdd969w0acg0AV7noSC6VA4E6ougIIKKDnT7jf3MvjcVttrGW+467T5us5SRETGjRJQERGR8dLTCZ0n7E92vu2lDIXgj9/s2955ws4Uu2QlXHE79LTDD98x8DyeHLuG5fyrIK8MFr4LCiptYpk/3d6PzjI7Ywncvn34mHIKdZ2liIikjRJQERGR0QgF7TWUAPv/BO2H+5LHzhN2Jte3rbHlP3gHNNXb3sio826CG9bZ2V2f/wF4c+x6lXnToGyeTSIBfCWw6r8hvyKSZE6312BGlxzJLYUPfD9Vr1pERCSplICKiEjmCQWhq6VfD2Sj3b74env7+Dfh8LaBPZSV58CnHrXlD90Gx3f0nS+n2F5fGU1AF1wD4av6Esz88oFLjdx5YPhlRlwuOOdDSX25IiIiE4USUBERmdzCYfC32nUpy+bZbXuehMMvD0wgAT76C3v7q4/BW48OPE/JmX0JaPNeO4lP3jQom29vyxf27XvDOnBn2e25peDNHniud/3jyDEPl3yKiIhMcUpARURk4ulsgpZ9A4e4dp6AK++wyd7z/wnb7u3bHgqAyw1fabTDZF/fBFt/bJPE/HKbKBbO6Dv/hTfbSX3yptlrKvOmQV55X/kN60aOr+r88XndIiIiU5wSUBERGT+B7oEJ5MwLwVcEB16E1zYMHALb2WSHuJacYZPL2q8OPJfLDRd/2iaSviI7pHX2xX3DXPOmQTgEeGC5Ayu+ZifbiV472V+0p1NERERSSgmoiIiMTihoEzxPFnScgP3P2uSxo7EvyXzH5+wsrG8+Cg982s7o2t+n/hfOeLudoOfVX/UljkWzYMZ54IpM8rPoOig/q69nMq/MTs4THbp6wcfsz3ByS8flVyAiIiJjowRURCRTBQORBPK47YHsaITKc6FiETTvg//9UiS5jJT5W+FD6+D8G+HETrjv5r5zZeXbZPH8G+3j0jPtMNf8aQN7KCsW2/Lzb+zbN57yhQOvuRQREZEpQQmoiMhUEgrZXsJgL7z5Ozh5zE6mE00kz36v7Tlsa4DvLBp6/PKv2gTU5YYTu+31kzOW9PVERhPIGUtgzVN911Bm5Q48T8VieM+3xv3lioiIyOSiBFREZKILh+0MryeP2sRw+tl2++Z/gNZDdnv7EZtsLvkwXPevdr8Nf2GHzLrckFsG+dPhzDZ7bN40eOddkSVCpkcm6imHopm2vGQOfPb54WPKzoeq88b1ZYuIiMjUowRURCRdgr2RHspI8th+xCZ2533Elv/q49Dwik0wgz1228Jr4eP32/tv/NbO/lowAypr7Kyucy+zZW4P3PK0TSrzy+3j/rzZ8M47U/M6RURERCKUgI6CMaYaWOk4zj3pjkVEJpGmPXBiF7QehLZD0HbYTuBz/Xdt+b3Xw/7nBh5TuaQvAS2aBdkFUFhpk8zCSjvza9TfbB35+SvPSd5rEREREUkCJaCjsw7Ylu4gRGSCOfI6NLxsh8G2HbS33e3w6c22/LGvwfZN9r7LbZPI6DWUAJestslmNLksqIT8ir7y9+o7LxEREZlalICegjFmOVCf7jhEJEUC3eDOshP5HH4Jdj1mey9bD0VuD8LtdXao7Cu/hOe+b4/Lr4DiWbbXMhgAjxeuuB3edou9rrKwym7r79wbUv/6RERERNJICeiplQC7gWlpjkNExioUstdb+kogO88mmC//wg6NjQ6T7TgOn30Rpp8F+5+HP/yjncCneBYUz4Y5b4tcj5kPl34WLv60TTC9OUOfb8aSVL9CERERkQltUiSgxpjVwCrHcVYMU14CrKavp7I6GddrGmNWOo6z0Rhzx1jPJSIpEui2s8Zm+ewyIi/8CJr3QvMeexvwwyd+DfOvgpYD8MqvbK9l8SyoOt8mmTmF9lxLPwlL/9wmq/FEZ4wVERERkVGZ0AmoMWYd0ILthSwbYdcNwBrHceojx1UbYzYPl7CO8rlLEj1WRMZZdK3LzibYdq+d7Kd5j71tPQgf+D5ceDP4W2HbT6BsHkxbAAuW2/vlZ9nzLL4eat4//PNk56fm9YiIiIhkiAmdgDqOswZiPaAXxdsnUlYfTT4jx9UbY1qiPZgJPv1HHMdZn+CxE87cO38bu7/mympePdjK1Ysq8LhdfOuRN8j2uvmLd8zl1msW8nz9CZo7e8j2uOkJhnC7XHQHQqxcNpuuniC/fa2BYChEa1cvhb4s3C5YNKOI8+eUcKzdzwt7mmLP5XW76AmGedu8MiqLfBxq6WLL3iY8bhflBTmcVVnI3hMdXDC7BLfbxbE2Py8faKGrN0hnTxCP28V5s4tZNKMIgP0nOtndeJLDLV20dPYSCoUp8Hn5y8vmAfDsrkYONHdSkpeN1+2i8WQ3s0ryuHxhuS3f3ciTbzXS3NHD+86rYl55PnnZHqYV5HCyO0Bt3VGaO3voDYaYUZxLcW4W584sYlpBDgeaOnlsx1EKfVkU+ryEwnCwuZMPXjiL8oIc/L1B9jR2sHVfM9sPt+Jxuyj0ZXHbNQvxZXk42uanqaMHj9uFC2jvDtDZHYzFdqCpk+bOHtq6ArR29dLRHSAny80HLpgFwMOvHuaNhnZORrbnZXmpLMrhpkvOAGDrvmbaunrpCYYIBMP0BkMU5Xq5elElAA9sPcjRdj+9gTCBUAhflofq8nzes6QKgNq6o7R29eIPBAmGwnjcLs4oy+OKhdNj5cFwGK/bRTgMnb1BZhb7uGiu/W7oB3/cRTAYjv3tc7M9LJlVzNuqpxEOh3lm1wl6gkG6e0N0B0J0B4KxeuPvDbJp26Eh9fb8WXmc07iZ7uO7OFy/g4LOAxR2HuDNMz/Kawtu4e0VQRbUfpVQXjknsmbSnreE9vL3cuDYNJqf28s75i9k/pcO0djRw5NvHcfrcZPlduE+6CJ8oIELzyilssjH0TY/z9efIByGUDgcu73yrOlUFvnYf6KT5+obAbB/PcAF1yyqYFpBTuzvHtlsb11wzeJKinOz2HXsJK8fao1tj1pRU0letpe3jrbz5pH2AeUuXKyoqSTb6+aNI23sPtZBKBzu+wnBDUtn4XK52Lqvid3HO/C4XHg9LtwuF1keN+8+dwYAdYfbONLWRThsO4fDQJbHxTvProjVnWNtfsJEy8PkZnm4ZrGtO8/sauRYu3/A8cW5WayoseWb645y4mQ3Yfp+f9MLc7j2HPv8v3n5EC2dvYTDYaI1ZE5pHssjx//utQZ6AiE8bhdetwuP20VVcS5LZhcD8ORbx+kJhGKvPRiC2aW5nD+nBIANWw7E4o5aWFnI0jNKCQRDbHrp0KC/jYtFMwo5d1Yx/t4gv3utYcjv/pyZRSysLORkd4DHdhyNHRc9z5JZxcwtz6e1q5endzbGnjd6jvNmFzO7NI/Gk908s6uRcBiCoXDs9/OOBdOYXZrHweZOHn/jGKEwhMNh3JH2YXlNJVXFuew/0cnz9SdwucDtcsVurzxrOmX52Rxo6uS1Q624XTY+F7b87fOnUZDj5WBzJ/XHO3C7XLhdNni3y8WFZ5SQ4/Ww+/hJdh5tpzdo24XeYJhAMMzKZbPJ9rp5dncjL+1voTcYIhgKx57jtmsW4na7eOKt49QdbsPdL75sr5tPXjoXgKd3NrL3RN/zu10ufNke3n++HT3wp/oTHG3vjpW5XZCf4421O9v2N9Pc0ROrdwCFPi9vr7ZXxTy3+wStXb1ES8NhKM3PjpX/8c1jnOwOEI4cHAYqCnNi5Y++fgR/bzBSZneaVZLHJfPKYnW3JxCKHQtQXZ4fa/fue3E/oei5I7dnzyhk2Zml9AZD/OrFA7GC6PFLZhVz4RmldPYEuP/FA7H/u+g+F88t5bzZJbR29rJh68C6HQ7D5QvLOWdmMcfa/Tyw9dCAMoDliys5e0Yhh1q62LT1IICtV5Hf8bXnzGBeeT4HmjrZXHc0Vneit8sXVzKj2MeBJlv33C4Xbrf9v3C54MqF0ynNz2ZvYwevHGxhsKsXVVDoy2L38ZNsP9w2pHzF4kpysz0D2r3+rj1nBtleN3WH26hvPDmk/H1LqnC5XLx+qJX9TZ0DyjxuV6zdeflACw0tXQPKc7LcsffErfuaOd7uH1Cel+3lyrNs3XtxbxNNHT0Dygt9Xt4x375nP19/grau3gHlpfnZXBypG8/uaqSjJzigvLwgmwvPKAXgqZ3H6e4NDSivLPLF2r0n3jpOMDSwvKo4l8VV9vPQ428cG1AWJszs0jzOqiwkEAyxue7ogDY5FA5zVmUhi6uKYp/lwv3KwsD5s0uomVlEa1cvv37pUOzYaN19x/xpLK4qovFkNw+9cjj23NG29YqzpjN/egFHWv38vu7IkPJ3nl3BnDLb7v3xzeMMFq17exs7eHb3ib7jIyd4V00l0wpy2H38JFv29n3WjL4vX3vuDIpzs3jraDuvHGjpd7wtf++SGeRle9l+uJW6w2197xiROx+8cBbZXjcv7W+O1c2+dxW46eI5uFwuXtjTxM5j7QP+b71uFx+NfB57audx9jZ2DAg+L8vDh5fNBuzf9lBzV7/3HCj0ZfG+8+znscffPMbx9u5YmcvloiQ3K/ae+fgbx2jp6om97hnFvlibNllM6AR0lFZhe0AHexFYA2yEWKK67BTn2uA4Tm1k2ZUtSY1yAln3pM3V9zd1smhGIT3BED3BEN9/fBe3vHM+v3utwb5p9vPRS+awctls2vy9fHHDK0PO+W83XsD5c0rYfayDz/3ipSHl937qEiqLfLx2sIXbfvXykPJHbruCxVVF/OxP+/neYzsHlGV73Lz61Xfhy/Jw96Nv8NvIh8WomcW+WAL6b7U7eaFfowRwybyyWJL3dxte5Wibn9wsD/dtsa9x7bsX8VfvnM+bR9r5/H1DY/vBx5fy3iVVbD/cylcfqhtSXlNVRPmCHB7YdpC/f/B1AErzsgBo9wf4/PKF9jyP7+Le5/YNeW1vfv3duFwuvrP5LR58aWASVl6QE0tAf/PyYR7bcZT8bC/dwRA9gRALKgpiCei3HtnBi3ubBxx/3uzi2Jvt/3t6D3UN9sOA2wWhMFyxsDyWgJqHt3OgaeCb9bXnVMY+CH5x4yu0dA58s73hwlmxD2L/uvkteoPhAeV/edlc3lY9je5AiJv/35+G/O4+d9UCzvfspffQDo7+z2bmuo8wz9XAC6HFfCPwcdZeexbnPH0b2aFeskJlvBWqZF/4Qn5fl88fX3+dr72/hgV3HuCNJnjv957qO/H2ELCdf1l1PvMrCqk/3sHt9w+tt/958zLefe4M6hra4tbLn/2ft1FZ5OPVQy2sfeC1IeUP/vU7mFaQwwt7TsQt3/yFKynOzeKJt47zjw8PrTvP3nk1edle/vf1I/zL5reGlL/ivItsr5sHXzrEuieGzoX2gQtm4vW42LTtED//0/4BZb4sN2+c+x4AfvRU/ZC6NS0/m61fsYNE/vOJ3WyuOzqg/IyyvFgC+h+P7xrwYQBgcVVRLAH9/h928srB1gHlF88tjX0Q/N5jO9l9vGNA+TvPnh57M/3aQ3UcaRv4QfB951XxHx9bCsBnf76N9u7AgPKPXDQ7loDe8cCrsQ8CUX952VyWnlFKbzDMHRtfZbC/uXoB584qpt0fiFs37nzPIhZWFtLY3h23bvzjB89lbnk+B5s7+ewvhk6S/q83ns/s0jzqj3fEPX7dJ5YxuzSPnUdP8pXfbB9SXj29gKriXF452MIdDwyN/9efvYyy/Gye2dXInZuG1r3a269kQUUhj75+hK//dseQ8ufuupqq4lwefqWBf60dWvfed14V2V43T7x5PPae4XL1JTm3XWPbtf/dfoRfDKp7uVmeWAK6YesBfvPy4QHl5QU5sQT0R0/VU7tj4AfpudPy+OPfXQXAPY++wfP1A9v0c2YW8dtbrwDgm4/s4NVBde+SuWXcf8ulAHzt4TrqB9W9q86eHvuw5vzP6xxt6x5Qft15VbEE9O8ffJ2Tg+reTRfPibV7d256bUjd+z+Xz4sloF/59esMduvVC7jwjFJOdgfivqfc9Z5FnDe7hKbOnrh/u6/nnGsT0LZu7n70jSHls0pyOXtGIQebOuO2K/OnFzCvPJ+dx9r5Wpx2qbo8nxnFPl460MLfxfnf+c1nL6M0P5vn6k9wV9y692cU+rJ4/I1jceN//q5ryM328MhrR+LWvVe/atu9X798iPVPDm333vuNKlwu+MUL++PWvR3/+G4AfvzMnrh1b8uXbbvzwz/upnbHwHavf937zu/f4rn6ge1eTVURv7vN1r1v/G7kuvfl37wet+79+C8vAeCLG16JW/e+H2n3Phen3bvp4jl868PnAfCpe1+MW/e+cl0N3YEQf/Xzoe3SrVcvYHFVEe3DfJa76z2LqJlZRFNHD87/DG2Xvv7Bc1lcVcSRVj8mTt39txsvYP70Avae6OAf4rRrP/pkLnPK8njraDtfjvO/UT3d1r1XD7XypQeH1q2aqqLIe25T3Lq39MxSinOzePKt43Hr3uULysnL9rK57ij/VrtzSPl7ltgvPx55/UjcunfTxXMA+PXLh+LWvWgCunHrwbh1L5qA/vS5vXHbvWgCuu6J3XHbveh75nc2v8Vrh/rq3vLFFZMuAXWFB9feCSiSPK5xHGdIAmmMCQMrHMepHbR9JfAjx3FKE3i+lQwc8rsqcrthNL2i69evD69evfp0n3Zc3bT+OZ6vb+JzVy3g2nNmsG1/M1cvqmB6YQ4/eHwXXb1BPnDBLM6dVUxTRw/7TnTQ5g9QnJtFZ3eA2aV5nDEtj0AwREOrH5fL9oAcafWT7XUzo9hHjtdDV0+Q/U2dA76RzfLY3oz8HC8nuwMcafUTDofZ09jBgeYuZpXkctmCaRT6stjT2EFHd4DcbA+5WR66eoPsaGjjqrMryM/x8vqhVvy9QWaV5lKWn22/cQe8HjcA+yLftDd39hAK2w/ZAHPK7DV8L+1v5qzKQrweF4/tOMbRNj9XL6rgzGn5dPYEaGj1U5qXjcft4mibn5bOXs6uLKQ4L4tA0Pb6tvsDtPsDuFy2F6Y4NyvSC9XMvhMdXHRmGXPKcnG5XITD4dg3b68fauVAUyfBcJhQ2H6TWpKbxQVzSmLf5ja0+inyeSnJyyY/xxPrCQLoDgTJ9rhj5wsEbU9ifo79HmnXsXba/QGyPG6yvW6yPG7ysj1UFvkA6OoJ4nZDltuN2+3C3xukJxiiyGeT5b2N9neXk+XG43YRCoXxetyURX6HO4+20x2wvSAA+TkeSvOymVZgJ9/pCYRwuey3dWGgqzdov9XL8RJoPcyu7VspbN9NXtsuXL4SOq78MkU+L4X/uQxa9hHGRahoNoGSeXRXr6Br6Wryc7wUdB4kkD+DpoHv0wAU5HjJy/bSG/nbxCv3ZXnw9wY50uqP9fAEQ2HcLhezy3Ip8mXR0R3gSJs/Vp+iPTnTC3PwZdl63dzZE/smNNpuTi/MIcfr4WR3INZLA329FVXFuWR73bR29tLU2RM7LnqeM8ryyPK4aerooamje8C3qWA/KHoiIwNaunpjPRQel+3ljNazls4e2v2BSO+g/QkDZ1UWxv4vmjt7I9+k2tfn9bhiIwsONHVysjsQ+fvZnpAsj5u55XYIckNrF/7eUOx4F67Y/z3AsXY/gWA49ntzYY8vjdSdls6eAb1nYHtkinNt3TvY3Bn5u4QIhGwPXKHPy5nT7PO/drCVMOFID5ntIS3Jy4rV7QNNnbGew6j8bC/FeVmEQmEOt3YN+aBWGPk/CwRDHGrpGvK7L83LoiQvm55AiAPNnf2Ot3fKC3IoycvG3xuM9cL0f44ZxT6Kc7Po6glyuLVrQA+g2+2iLC+b3GwP3YEg7f4A7sj/dTjSPhTlemNtalNnD6HQwJ6KqmIfviwPrZ29HGnzx3qHo73UCysLYiMvDjZ3EgpDKGTPHSbM0jNK8WV5ONbmp/FkD1keF16PG6/b9p5XFObgdrvoCYQIE461G/3rv8vlivWMhiJxh8JhwiEojnwJ1+bvxd8bjMUeCtv6MbPEtmtHWv2RHsq+47M8LhZU2Lq769hJOnvsh/BoD5wvyx0r3338JP7eYKwMIC/bE6s7exo76A321V1b7o09/74THbG6aZ8D8nI8VBT21a3+XC5bt6J1+3BLV+x/Ilqem+2hyJdFOBym8WRPbHv0/LnZHvKyvYRC4Vi71f8cOVlufFkegqFw32vv978Tbd9DoTA9wYE9ZC4XeN19bXi0vvQf3RH9W/cGQ3R2B/vqDnaf4twscrweOnsCnDjZ0+9vZ//uM0ty8WV5aPP30tg+tGGeVZpLjtdDS2dP7PX3d+Y02+6dONlNc+fQ8nnltt073t5NS5zyBRUFuFwujrT6h7T7Lldfu3eopYt2/8Byj8vFwkh5tN3rL8vjZkFFAWDfEzt6Bpb7sjzMn27Ldx8/SdegHs68bA/VkfK3jrbHes+jCnK8sXZ1R0MbgUFf2hbnZnHGNPt55fVDrbH326iy/OzY55mX+/XwhcO2fZxemMPMklxCoTBvHm3vN2rC1qHSvGzK8m27d7jFfpaLtp1ul4tCn5f8HC/BSN2Mbo9WPl+Wmxyvh0AwFPvd9W/38nI85Hg99ARCsd99/1dQ6LPtmr83SJt/6Ht2tO75e4Oxv23/85flZ5PtddPRHegr73d8RWEOWR43bf5eWjuHnr+q2IfXY9+To88f+990uagq8uF2u2jt6o3970Hf/2ZlUQ4uly3vjoyc6BsUZX//YNu9nkBowGeC/uXNHT10x0ZW2P9Lj9sVe0871u4fcDzYuhl9zz3c0tV3fDhMXrY3VjbRGGO2Oo4zZBTrVElAlzmOs23Q9uXAZsdxXIOPSeD51wEtjuOsHc3+EzEBFRl3oSC07IPjb9mZZJd+wm7/2YdhV7/vh3zFUH0VfORe+3j/83Zb6Tw7cZCIiIiITHrDJaCTegjuaCYKMsaUOI7TMobnuANYHrm/e7ge0EiSvBqguLg40acTmfiCvdBUD9PPto//tN5O9HNip51hFsDrgws+Bm4PnP9ROOvdduKf6YugoGLghZBnvD31r0FERERE0mJSJ6CMPDNu/31aEn2CyHIup1zSJZKYrgfbA5ro84lMOI27YOfv4ejrcOQ1OP6GXQfz73ZDfrlNJgtnQPWf2aS0/Gy7hqbbY49fsjK98YuIiIjIhDHZE9CokRLRphHKRASgtwuOvwnH6uDodvvz7m9CxWI48Dz8712QXwEzzoX5fwUV54DXXsvAJZ+xPyIiIiIip3DaCagx5ofYays3jUM8pyuaXJYMt8NYht+KTEmhoB1Cm1Noey73PgP3Xg/hyAX1Xp/tyfRHZlhbfD0sWAGFlemLWURERESmhER6QOcD1UDaE1DHcVqMMS3E7wGtZgxDb0WmjJ4O2PJjOPIqHNsBjW/ZazWv+Qe44m9tL+flX7C9m5XnQll13/BZsBME+XRds4iIiIiMXSIJ6HrgfmPMhxzHeTDZASVgC/F7QEuA2jjbRaau1oNw8EU48CKUzoW3rQZ3FvzhHyG3zCab8660t2deZo/JK4NrvpLWsEVEREQkMySSgG4BNgIbI8uT1AJDVmt1HOflsYU2ahuAFXG2rwDWpSgGkdQLhcBt1z/l4dvhzUegPbLwcXQWWgBvNty+wyaaIiIiIiJplEgCWo9d99UF3AKsGVQeXYfeQ/KUDFfgOM56Y8waY0y14zj1AMaYpZGyjUmMQSS92o/YNTMPvAAH/mSH1n72+b7yMy+F2ZfAnIuhcolNPKOUfIqIiIjIBJBIAroq6VEMI9LDWg1cBJQYYzZjE+B1juNs67frNcBdxpjdkcfzHceJ1ysqMjmEgvZ6zcpz7DInv/8yPPvvtszrg5lL4azL7H5uD1z3nfTGKyIiIiIyCqedgDqO88B4BDLMcw3uXR1uvxZg7fhGIzKOggE4tAXqn7DLnhzcAt1t8NkX7ZqaC1ZAYRXMeTvMGNS7KSIiIiIySYxpHVBjzA3AxZGHL0yQSYlEJoeWA7Y3s2A6vPUI3Hcz4IKKGliyEua8DQoq7L7Vf2Z/REREREQmsYQSUGPM1dgJfuYP2t4ErHIc5/EkxCYydYTDcOQ1ew3n4W22h/PETrjGgStuh3l/BqvutUlmbmm6oxURERERGRfu0z3AGDMPO/NtK3am2VJsIvqRyLZaY8yZyQxSZNLqPhm5bYf/uxwe+TvY9RhMmw/XfgPO+aAt9xXZ+0o+RURERGQKS6QH9G5gq+M4F/fb1grswS7NsgvbO/ruJMQnMnkEuqFxJ7Tsh+NvQN2vwe2Fz/zBJpgf/SVMPxuKZtmJhUREREREMkwiCehy4BsjlG8EPpNYOCKT2KbPQN1v+h7PXArnrrTDb10uWHBN+mITEREREZkAEklAm05RXjKKfUQmr45G2PE/cOBFaG+Aq74Ecy6By2+HRddB2XwoPRPyy9MdqYiIiIjIhHLa14ACj2HX3CwcXGCMmYu9FrR2jHGJTDytB+EnH4R/Pgse/gLs/oO9trO3y5bPvADO+wjMXqbkU0REREQkjkR6QO/AJpl7jTHfAF7C9npeHClrQWtyylQQDsOBF8DfAmddC/nToasJLrsNzr0BKs/VtZwiIiIiIqfhtBNQx3FajTHLsBMNfRsIA9FP4duwy7C0JS9EkRQKhWDn7+G1+2HPk9BxHCqX2ATUmwNrnkx3hCIiIiIik1ZC64A6jlMPrIgsyVKN7QHd5jjOniTGJpIa4bC9dbngd38LW/4L8iug+iqofifUfCCt4YmIiIiITBWnnYAaY34IbHYcZ1Mk4VTSKZNTywF46Wfw2ga46RdQsQguuBnOuBTO+RB4stIdoYiIiIjIlJJID+h8bK/npiTHIjL+QkE4tBVevQ+23guhAMy7AkK9tnz2MvsjIiIiIiJJl8gsuOuxw28/lOxgRMZdOAz3vh+2/jdceDN8/lX484dgxpJ0RyYiIiIiMuUl0gO6BdgIbDTGrMMuuVI/eCfHcV4eW2giSRDshb1P2yVTrv4KeLPh5o0wbSEUVqY7OhERERGRjJJIAlpP38y3twBrBpW7IuWesYUmkqBgLzz1L7D919C8BwJ+yMqDs98LZ14Kcy9Pd4QiIiIiIhkpkQT0I9gEU2RiangF/vgtO4PtwuV2UqHqqyA7L92RiYiIiIhktETWAd04HoGIJCQctrPY7nkC5rwdln4CZl8Ef/0cVCxOd3QiIiIiItLPmJZhGYd4REYv0AMPfAp2PAQ5RfDSz2H6IphzsZJPEREREZEJSMuwyOTS64fffRFqPgCHX7bJ5zUOXHYbdLeBryTdEYqIiIiIyDC0DItMLo//E7z0U8jKtdd0nv8xuOJ2cHsgtxRcrnRHKCIiIiIiw9AyLDJ57H0Gnv13WPYXdibbuZfba0BFRERERGRS0DIsMrF1n4TsfGiqh199DKbNh3d9va9cPZ4iIiIiIpNGIgnoqqRHITKcR9bCkVdhyUro7YKP3Q85hemOSkREREREEpDIMiwPjEcgIkP0+mHH/8Di62HelfDX19keUBERERERmZQS6QGNMcbcgJ0Rd73jOG3GmHnAhVqiRU5L+1HYvgmqzoey+VBYaa/t3PJfdmbbJSth5oXpjlJERERERMYooQQ0shboavqu96wFXo4UbzDGrHQc58GkRChT3++/DK/db+8vfBd8fAPcez3sfQrmXgFzr0xvfCIiIiIikhSnvQyLMeZb2ImH7gQWYJNQABzH2YNdH/RLyQpQprjmvfD6A3D2e+G8m+B9/2K3T19kJxv6xK/BM6aOehERERERmSAS+WS/EljnOM63AYwxg8tfAG4YY1wyVYXD8JvPQWcjfOw+O/w2f7pNPItm9u33vn9OX4wiIiIiIjIuEklAy4DdI5RPI866oCKAXTbl6OvQ8DI07oIz3ga3vQJZvnRHJiIiIiIi4+y0h+ACjwF3GWPOHFxgjCnGXhtaO9bAZIroPgmP3gVvPtq37aaf29ufr4Rgr5JPEREREZEMkUgC+unIcfXGmPuwkxAtM8Z8EdvzGQbWJi9EmdT2PQvP/wB+eaOdWOiRO6F4ti1r3gMNr6Y3PhERERERSZnTTkAdx2kFlgJ/AFZhJyH6EXAPtne02nGctmQGKZOYv7Xv/p4nofOEvf+JB+Fd/wSzl6UnLhERERERSbmEpheNzHa7IjLk9qLI5i2R5FQyWf0T8JP3wxV/C6Xz7MRCc6+wa3w+932Yfrbdb/7V9kdERERERDLGmNa3iCScjyUpFpmMOptg79NQ83448ho8++92+1OR5VS+fAwWXAMHt9gEtGJx+mIVEREREZG0SuQaUBEIheztfZ+A+z8BJ4/Df14Ouzbb7avutbc7I4/rH7e30xelNk4REREREZkwxtQDKhnq2wuh4xhc8HEomwv7nobeTsivsNtxwcIVkF0A933cDr+9ZA0UnwGlc9McvIiIiIiIpIt6QGV03nzEzmIb7I0kmYAnGxa+y97vaOzbThi+MRN6TtqH3Sfhwo/DF14DtyfloYuIiIiIyMSgBDTTBHvhxf9rh8a2Hhp+v5b98OqGvse/vMnOYtuyv2/b1h9DV4u9f+BPQ89RMMPe+orHHLaIiIiIiEx+GoKbafY/B7/924Hb/vwhuzZn0Szo6YC8Mvjv66BlH2z69MB9O44PfPxIZMnX/71r6HNddhts3wTZ+cmLX0REREREJi31gGaa/Iqh2+69Hr53IXy9Au6ZZ7e17Bu4z/u/b2/zpsHfH+nbnlMIFefY+wuWDzzG7YHDL6kHVEREREREACWgmSfQdep9Hv4ClM0fuO2sa+Hzr9lJhF69v297ZyMEe+z9Cz8x8JhXfgmhAMy6CBERERERkTENwTXG3ABUA+sdx2kzxswDLnQcZ1NSopPke+W+U++z5b/g86/DyWPwf6+22x69E955l+3RfOjWvn3DITix096fsWTgeaYvsvsvvj45sYuIiIiIyKSWUAJqjPkhsBpwAWGgFng5UrzBGLPScZwHkxJhmhhj1gF3O45Tn+5Ykqqrefiy6YugrQG6W+3j/tduvv4A+FsHJpnlZ0Pjm32Pi2bCV1v7Hu/cbHtBO45D2bzkxC8iIiIiIpPWaSegxphvAWuAtcADwK5omeM4e4wxm4AvAZM6AQU+Aqw2xvTf1gIsm9RJ6eBJhPpb+ue2R/P3fw8/fg+0HhhYvqsWDm3re3z55+36n9FJjbJy7a2/DXq7wB2pXk/cDTc/kLSXICIiIiIik1MiPaArgXWO43wbYFCCBvACcMMY45oI1gPr+j0uAS6a1Mkn2ATUk9133WZ//WeyjSaf566EvU/Z3tCmeuhq6tunsArmXwVPfBvOelff9m8vgGA33PYKuNzwtr8an9ciIiIiIiKTSiIJaBmwe4TyacCkTtKMMSXYJLu+37Y7HMe5J31RJUlHI2QXDEwkwW7rOTl0/4ZX4ORRWPYXNgHt76cfhJU/tgltd3vf9mC3vc2fDs4IQ35FRERERCSjJJKAPgbcZYzZ4DjOgLU6jDHF2GtDRzHTzegZY1YDqxzHWTFMeUnkeaMZUvVYkkXHcVqww22j51+J7RGd/K77DvzypqHbvb6+BDS7EHoiCWVsgqHz+va94m/hqX+x9zf+JeQU9w23BXBnQagXsvKSH7+IiIiIiExaiSSgnwb2AvXGmI3YSYiWGWOWA3dFHq9NRnCRiYBasMNfy0bYdQOwJtpjaYypNsZsHi5hTcDFjuNsTNK50uvs98Tf3tlob91eeP/3bGIZ9YXtdr3P395uH5efNfDYv9liezujbnkKDvwJXK7kxS0iIiIiIpPeaa8D6jhOK7AM+AOwCjsT7o+Ae7C9o9WO47QlIzjHcdY4jrMW2DrcPpHe0fr+w2Uj91siPZdjYoy5A9g81vNMCD2ddiKheLIiM97evAlqv2rvr/pv+NwWKJ4NOUV2mO45H7K3/eUUDUw2KxbbIbsiIiIiIiL9JLQMSyTBWxEZcntRZPOWSHKaaquwPaCDvYidrXcjxBLVZac41wbHcQZnaGuAZPWkplfLfvjZh+OX9XbY23AIWvbBe//ZJptRLhfcsB7ypsHsS+D2HfCdxbbMmzO+cYuIiIiIyJSQyDIsJ7DXeK5zHOcVbK9nOi0H7o6zvZ6+5BjHcU77Gs7ItaXVk37m2yh/5PsBlwfCwYFl0dlqz7jUPm7eO/T4Re/ru180s9+xGmorIiIiIiKnlkgP6F7gFmCNMaYFu1TJ/Y7jvJy8sE5bU5xtLdhrR8eieozHTyzRBHTuZbDnyYFl+RXw7m/0PX7u+3DtP418vs88bntVRURERERERiGRa0CXAaXYCYf2AncCW40xO40x3zDGzE1qhCOI9FCOeZ9T2DbG4yeOaAI6K85I5NIz++4XzuzrCR3JrKVwzgeTEpqIiIiIiEx9iV4D2oqddOieyHWgN2KHwt4CrDXG7HYc56yRzpEkI82M23+flkRO7jjONk593SgQu8Z0NUBxcXEiTzf+/C32NhwaWnbejX33v7AdO5mxiIiIiIhI8iSUgPYXSUbXG2N+j52sZy0wf6znPU0jJaLxhucmXeQa0/UA69evn5jZ29nvhdK58PN+kwO7vRAKDExK3afdMS4iIiIiInJKY0pAI8Nt1wAr6bte8iXssNxUiCaXJcPt4DhOS0oimQyKZ9mf/q7+CtS8H/LK0xOTiIiIiIhkjERmwZ3LwKTThZ1x9k5go+M4e5IZ4Egcx2mJTIQUrwe0mgSH3k5ZB17sG4YL8MWdUFCRtnBERERERCSzJNIDWt/v9tvY5VhSlnTGsYX4PaAlwOA1PTPbC+vg4BZYfD3s3KxeTxERERERSalEEtB7gPscx3kp2cEkaAP22tPBVmCXiJGo3i7IyoPsAtvzqWs9RUREREQkhRJZhuXONCSfJcMVRCb/qTbGxNbsNMYsjZRtHP/QJpGeDsjOg8IZEOiBYCDdEYmIiIiISAYZsQfUGHM1UOI4zqZ+2y4YzYkdx3l5TJHZ51qHvZbzIqDEGLMZO/R3XWSJlKhrgLuMMbsjj+c7jhOvVzSzxXpA8+HkEbTUioiIiIiIpNKphuBuBIoBT79t2xg5c3FFyj0j7DMqjuOsGeV+LdjlX2QkvR2QWwrtR+1j15j/RCIiIiIiIqN2qgT0WwxNNm+Js00mgxt+ZJPO/7jYPtY1oCIiIiIikkIjJqCO49wTZ9v68QtHxlXF4nRHICIiIiIiGey0u8CMMV+MrAU6XPl9kWtHZaJ56WdwcGu6oxARERERkQyVyBjMu7ETAw3Hha7HnJge/gLs+B9Y+knw5KQ7GhERERERyTCJJKCuU5TXY2etlYkkGIBgj50B1+uzy7GIiIiIiIik0KkmIQLAGHMNsLLfprXGmFWDdivDrte5AmhOSnSSPL2d9jYrF865AWacl954REREREQk44wqAQWWAjdG7oexSWY8LUAtdpiuTCS9XfY2KxfOvNT+iIiIiIiIpNCoElDHcb4NfBvAGBMCljuO84fxDEySLBBJQL2+9MYhIiIiIiIZa7Q9oP2tB5qSHYiMs8KZ8LktkD893ZGIiIiIiEiGOu0E1HGcW8YjEBln3mwoX5juKEREREREJIMl0gMaM9J6oI7j7B3LuSXJ2o/Aaxth8XVQOjfd0YiIiIiISAZKKAE1xnwTuOMUu3kSObeMk+Z98Pu/h4pFSkBFRERERCQtTnsdUGPM3wFrgQeAu7Drgv4IuBPYFHl8TxJjlGQI9thbT3Z64xARERERkYyVSA/oGuBux3HuAjDG3AncH50V1xhzP3Y9UJlIYgloTnrjEBERERGRjHXaPaBANbC73+P6yLaozcDysQQl4yCWgGalNw4REREREclYiSSg9cD8fo9rgVX9Hi9jYEIqE4GG4IqIiIiISJolug7oZ7DXfwLcB9xhjPkB9vrP1cDW5IQnSbPwWrh9B+SVpzsSERERERHJUIn0gK6j3yRDjuO8BNwS+VkDbAM+kpToJHmyfFA0064HKiIiIiIikgan3QPqOE4rdtbb/tvWA+uNMcWRcploDm2FnZvh0s9BTkG6oxERERERkQyUSA/osJR8TmAHt8IfvwmB7nRHIiIiIiIiGWrYHlBjzAVjObHjOC+P5XhJMs2CKyIiIiIiaTbSENxtQDiBc7oix3kSikjGRzDS86lZcEVEREREJE1GSkBvIbEEVCaiYK+9VQIqIiIiIiJpMmwCGplYSKaKUABcbnAn9bJfERERERGRUUtkHdAYY8wNQDWw3nGcNmPMPOBCx3E2JSU6SZ4r74B33JruKEREREREJIMl1B1mjPmhMSYIbATuxiahURuMMR9KRnCSRN5s8BWlOwoREREREclgp52AGmO+BawB7gQWYCcdAsBxnD3AJuBLyQpQkuSN38FjX0t3FCIiIiIiksESGYK7EljnOM63AYwxg8tfAG4YY1ySbHuehJd/Dtf8Q7ojEREREZEppLu7m6amJtrb2wkGg+kOR5LI7Xbj8/koKCigtLQUdxLmk0kkAS0Ddo9QPg2oTywcGTfhoJ2ESEREREQkSbq7u9m/fz+lpaXMnTuXrKwsXC7XqQ+UCS8cDhMKhejs7KSlpYW2tjbmzJmD1zumaYQSugb0MeAuY8yZgwuMMcXAaqB2TFFJ8oWC4NbSrCIiIiKSPE1NTZSWllJeXk52draSzynE5XLh8XgoLCxk9uzZ5OTk0NTUNObzJpKAfjpyXL0x5j7sWqHLjDFfxPZ8hoG1Y45MkiscBJcSUBERERFJnvb2doqKNNHlVOdyuZg2bRqtra1jPtdpJ6CO47QCy4A/AKuwkxD9CLgH2zta7ThO25gjk+QKh9QDKiIiIiJJFQwGycrKSncYkgLZ2dkEAoExnyehAbyO49QDKyJDbi+KbN4SSU5lInr/v0MolO4oRERERGSK0bDbzJCsv/NpJ6DGmB8Cmx3H2RRJOB9LSiQy/pIwa5WIiIiIiEiiEslI5mPXAZXJZOu98IevpzsKERERERHJYIkkoOuxw28/lOxgZBzV/xG2P5juKEREREREJIMlcg3oFmAjsNEYsw675MqQdT8dx3l5bKFJUmkWXBERERGRjGCMibu9tLSUZcuWcdlll6U4oj6JJKDRpVZcwC0MHY7ripQr25lItA6oiIiIiEjGqKqqYvny5bHHfr+f7du3U1tby/bt2/nkJz+Jz+dLeVyJJKCrkh6FjD8loCIiIiIiGSM3N5fq6uoB22pqati6dSsPP/wwP/nJT1i9enXK4zrtBNRxnAfGIxAZZ95syC5IdxQiIiIiIpJGy5Ytw+/3U1tbS11dHTU1NSl9fq3LkSk+8hP41KPpjkJERERERNLssssuw+fzUVtbm/LnVgIqIiIiIiKSYWpqamhubqa5uTmlz5vINaAyGT1xD4TD8M616Y5ERERERCQj+P1+HnroIerr68nNzWXx4sWsWLEiVl5XV8eGDRu49dZbaWhoYOvWrZSUlHD99dePWJYMM2fOZNu2bTQ0NFBaWpqUc46GElDAGHMH0OI4zvphyuqBMqDecZzU91MnQ/0fAZcSUBERERFJmRvXPTdk23XnVfGJS+fS1RPkL378wpDylctms+qiOTR19PBXP9s6pPzmt5/J9efP5HBLF1+47+Uh5Z+5oprlNZXsPn6SL216bUj531y9kMsXlrP9cCtfe6huQNl9ay49jVc3submZtavt+nF5ZdfTlNTE88++yx+v39IEhm9HrO6upr58+ePumwsokmnekBTyBizHFgK3Aisi1O+DtgQTTqNMZuNMVscx2lJaaDJEAqAN/XTLIuIiIiIZKKHH34Yv9/PrbfeGkv2ysrKqK2tHZKA1tXVsWrVqrgTAo1UNha5ubkAdHZ2JvW8p5LRCWgksaw1xlw8zC4fcRyn/zqnm4HVwD3jHlyyaRkWEREREUmxkXoUc7M9I5aX5WePWD6zJHfE8vnTC0YsP2dmcVJ7PPvz+/3U19dTU1MzYHhrTU1N3Nlnly5dOmyCOVLZWBw+fBiwSXEqZXQCOhJjzFKgadDmFuw6qJMvAQ2HwKU5p0RERERExls0uaurq8MYM6R88LDXkYbWJnPYbX9NTTbVmTlz5ricfzgTJgE1xqwGVjmOs2KY8hJs72N9ZFO14zjjmQhWYxPO/pqw14JOPnllkDct3VGIiIiIiGSM6667Lm6CN3jSn5EmARqvCYK2bduGz+ejqqpqXM4/nLQnoJHrLFuAEkZO7jYAaxzHqY8cV22M2TxcwjqOSlL8fMlx8wPpjkBEREREJCNEk06/35/yBG80tm7dit/v57rrrkv5c6d9TKbjOGscx1kLDJ3iKiLSO1ofTT4jx9UDLcaYleMYXsmgx2UM7RUVERERERGJ8fl81NTU8PTTT+P3+weUpWPtzf7q6up4+OGHKS0tZdmyZSl//rT3gI7SKmwP6GAvAmuAjRBLVE/1W9wwyqVUokuvDDb4utDJ4ZG1dgjun92R7khERERERKa866+/nu9+97t897vfZenSpeTl5XH48OHYrLbjvfZmV1cX9fWx/juam5upr6+nrq6O0tJSVq9ePa7PP5zJkoAuB+6Os70euCj6IN46nolyHGdbnAuGS7Az4U4++56BotnpjkJEREREJCP4fD5uu+02Nm/ezI4dO2hubqaqqmpcllSJp6GhgZ/+9KcDtpWWlrJ8+XIuu+yycX/+4UyWBBTi9zy2ML7XZN5vjFnqOM62yOMV2N7YyScMuFzpjkJEREREJGP4fL4ha372V1NTg+M4p112KokelwoTPgGNzH57yn0cx2lJ4NxLsb2ry4HqyHOtj57LcZw1xpg7jDHV2Flx7x7ueSLDf1cDFBcXn24oKRAGlICKiIiIiEj6TPgElNEte5LQ5ECRns1tjLCu52iXeokM/10PsH79+vDpxjLuwmH1gIqIiIiISFqlfRbc0zBSIjo5JwZKpZI5UDgj3VGIiIiIiEgGmww9oNHksmS4HRIZfptxPnZfuiMQEREREZEMN+F7QCPJZQvxe0Cr0bqcIiIiIiIik8KET0AjthC/B7QEGM2anvLgLfD4N9MdhYiIiIiIZLDJMAQXYAN2CZTBVgDrUhzL5HRoK/R2pTsKERERERHJYBOpB7RkuILIDLPVkeVQgNgSKjiOs3H8Q5sCNAuuiIiIiIikWdp7QI0x67DXcl4ElBhjNgP1wLrIMilR1wB3GWN2Rx7PdxwnXq+oxKV1QEVEREREJL3SnoA6jrNmlPu1AGvHN5opTD2gIiIiIiKSZhNpCK6Mp4rFUHJmuqMQEREREZEMlvYeUEmRm36e7ghERERERCTDqQdUREREREREUkIJaKb45UfhD19PdxQiIiIiIpLBNAQ3UxzdDjmF6Y5CREREREQymBLQjKFlWEREREREMkV9fT21tbU0NDTg8/lYu3ZiLCiiBDRThNEyLCIiIiIiGaChoYGf/vSn1NTUsGzZMpqamtIdUowS0IyhHlARERERkUxQW1tLVVUVq1atSncoQ2gSokwx+yIoX5juKEREREREZJwdPnyYqqqqdIcRl3pAM8Wq/053BCIiIiIikgJ+vz/dIQxLPaAiIiIiIiKSEuoBzRT/9R4481K45h/SHYmIiIiIZIofv2/otnM+CJd8Bno64edxrlG84GNw4ceh4wTc/8mh5Rd/Cs79MLQehE1rhpa/43Nw9nugcSc89Pmh5Vd+EeZfBQ2vwqN3DSz7y9+O5lWNmt/v56GHHqK+vp7c3FwWL17MihUrYuV1dXVs2LCBW2+9lYaGBrZu3UpJSQnXX3/9iGXDeeaZZ6itrQVg27ZtbNu2jdLSUm699dakvq6xUAKaKZr3wLT56Y5CRERERCQjNDc3s379egAuv/xympqaePbZZ/H7/UOSyNraWurq6qiurmb+/PmjLhuspqaGqqoqfvrTn1JVVcXy5cuT+6KSQAlopgiHtQyLiIiIiKTWSD2K2Xkjl+dPG7m8ePbI5eULRy6vOi/pPZ79Pfzww/j9fm699VZKS0sBKCsro7a2dkgCWldXx6pVq6ipqRlynpHKBistLY09V2lpKdXV1Ul4Jcmla0AzhpZhERERERFJBb/fT319PTU1NbGEEIglkXV1dQP2X7p06bAJ5khlk5F6QDOFekBFRERERFLi8OHDgE00jTFDypubmwc8Hmlo7amG3U42SkAzxfyroPLcdEchIiIiIpIxrrvuOmbOnDlke/9e0XiPR1s2GSkBzRQ3rE93BCIiIiIiGSGadPr9fqqqqtIczcSia0BFRERERESSyOfzUVNTw9NPP43f7x9Q1tzcPGQIbiZRApop/uPtUPvVdEchIiIiIpIRojPdfve732Xz5s0888wzbNiwge9973s0NDSkObr00RDcTHHyKHS3pzsKEREREZGM4PP5uO2229i8eTM7duygubmZqqqqUS+pMlUpAc0YWoZFRERERCSVfD7fkDU/+6upqcFxnNMuO5VEj0sFDcHNFFqGRURERERE0kwJaMZQD6iIiIiIiKSXEtBMUfMBmHlBuqMQEREREZEMpmtAM8X7/z3dEYiIiIiISIZTD6iIiIiIiIikhBLQTPHPZ2sdUBERERERSSsloJmi5yQEetIdhYiIiIhMMeFwON0hSAok6++sBDRTaBkWEREREUkyt9tNKBRKdxiSAsFgEI/HM+bzKAHNGPpmSkRERESSy+fz0dnZme4wJAVOnjxJXl7emM+jBDRTqAdURERERJKsoKCAlpYWDcOd4oLBIE1NTRQVFY35XEpAM8WFN8Psi9MdhYiIiIhMIaWlpQQCARoaGuju7lYiOoWEw2ECgQAtLS3s27eP/Px8CgsLx3xerQOaKd73z+mOQERERESmGLfbzZw5c2hqamL//v0EAoF0hyRJ5PF4yMvLo7y8nMLCQlxJGFGpBFRERERERBLm9XqpqKigoqIi3aHIJKAhuCIiIiIiIpISSkBFREREREQkJZSAioiIiIiISEooARUREREREZGUUAIqIiIiIiIiKaEEVERERERERFJCCaiIiIiIiIikhBJQERERERERSQkloCIiIiIiIpIS3nQHMBU1NDQ0GmP2pTuOOMqBxnQHITJOVL9lKlP9lqlM9Vumskyu32fG2+gKh8OpDkTSxBizxXGci9Idh8h4UP2WqUz1W6Yy1W+ZylS/h9IQXBEREREREUkJJaAiIiIiIiKSEkpAM8v6dAcgMo5Uv2UqU/2WqUz1W6Yy1e9BdA2oiIiIiIiIpIR6QEVERERERCQltAyLiExZxpgNwH3ANqDJcZyW9EYkIiKnorZbZGrTENxJzhhTAqwG6iObqh3HuSdVx4uMpyTU78ENXAuw1nEcXY8hE4IxZjWwynGcFad5XAlqu2WCG0P9VtstE5oxZilwI1ACVGPb4rWj/bIk09tw9YBOfhuANY7j1AMYY6qNMZtPo7Ef6/Ei42ms9XMt9uL/aqAleh6RdDPGrMN+qC4ByhI4hdpumbCSUL/VdsuEFUk+L3IcZ22/bXcDe4wx80aZhGZ0G65rQCexyDeL9f0b5sj9FmPMyvE+XmQ8Jat+Oo7T4jjONn2AkYnEcZw1kQ8vW0/3WLXdMtGNpX73O4fabpmolg/ujY/U9ybgR6c6WG24EtDJbhXxG/cXgTUpOF5kPKl+isSn/w0RkfS5a5hEcSOwfBTHZ3wbrgR0cltO39jx/uqBi1JwvMh4Uv0UiU//GyIi6dNE/KHlJ7DDzk8l49twXQM6+TXF2dbC6P4BknG8yHgac/0c9C3lxcA3NaOiTAFqu2VKU9stE5XjOPOHKbqY+IllPBndhqsHdJKKzJ6V8D5jPV5kPCWxfq4Aah3H2eg4zkbgm4zhmiSRdFPbLRlCbbdMRsuBdSPtoDbcUgI6eY1mVrmR9hnr8SLjKSn103GcFf2/MY/c3xaZrU5kMlLbLVOe2m6ZbIwxd2AnFjrVUipqw1ECOhWMVEnjde8n+3iR8TQe9bMeyIhZ5mRKU9stmUZtt0xIkWVZ1gDXnMZhGd2GKwGdvKKVs2S4HU5xrcRYjxcZT+NZP3dj15YTmYzUdkumUtstE9XdwIpRtr1qw1ECOmlFKmcL8b9BqY6UjdvxIuMpGfXTGLM7U9bTksyhtlumOrXdMpkYYzYAa0a7Xq3acEsJ6OS2hfjfoJQAtSk4XmQ8JaN+xntDmA9sSywkkQlBbbdMdWq7ZcKLXJP8zf7JZ2Q47qlkfBuuBHRy24Cd8nmwFcB9KTheZDyNtX6ucxwn3oeVlZxiljqRCU5tt0xlartlwjPGrAbui1NXl4/i8Ixvw5WATmKO46wHqo0xsWsiot+8RKYtp9/2ZmPM7kSPF0m1sdZvoDbyBtF/v+gsdevHKWyR01UyUqHabpnkSkYqVNstk5ExZjm2R77MGLM88rMyUm8vHrSv2vA4vOkOQMbsGuCufpV7vuM4K+Lst4X448pHe7xIOiRcvx3H2WaMiQ6RAftBaLfqt0wExph12Ot9LgJKjDGbscMOB/f+qO2WSWcs9Vttt0xkkTU6N0ce3hFnl8FfkqgNj8MVDofTHYOIiIiIiIhkAA3BFRERERERkZRQAioiIiIiIiIpoQRUREREREREUkIJqIiIiIiIiKSEElARERERERFJCSWgIiIiIiIikhJKQEVERERERCQllICKiIiIiIhISigBFRERERERkZRQAioiIiIiIiIpoQRUREREREREUkIJqIiIiIiIiKSEElARERERERFJCW+6AxAREZGxMcaUAKuBNUA1UA+scxznnnTGJSIiMph6QEVERCa/j2CTz439bu82xtyd1qhEREQGcYXD4XTHICIiIklmjNkArHQcx5XuWERERKLUAyoiIjI1vQhgjKlOdyAiIiJRugZURERkCjDGLAVuBJZjrwMtSWtAIiIicagHVEREZJIzxqwGtgJLgXXAKmB9WoMSERGJQz2gIiIik986YL3jOGuiGyI9oiIiIhOKekBFREQmscgSLPFcnMo4RERERkOz4IqIiExyxpjo8Nv12KG4K4CVkeL5juPUpys2ERGR/tQDKiIiMvmtArYBq4G1QBNwT1ojEhERiUM9oCIiIiIiIpIS6gEVERERERGRlFACKiIiIiIiIimhBFRERERERERSQgmoiIiIiIiIpIQSUBEREREREUkJJaAiIiIiIiKSEkpARUREREREJCWUgIqIiIiIiEhKKAEVERERERGRlPj/DrBl4RlP8acAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1080x720 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,(ax1,ax2) = plt.subplots(2,1)\n",
"\n",
"ax1.plot(a, D/D0, label='D monofonic')\n",
"ax1.plot(a, D_as_a(a)/D_as_a(1),'--', label='D analytic')\n",
"\n",
"\n",
"ax1.plot(a, f_(D*fact), label='f th')\n",
"ax1.plot(a, f,'--', label='f monofonic')\n",
"\n",
"\n",
"ax1.legend()\n",
"ax2.semilogy(a,np.abs((D_as_a(a)/D_as_a(1) - D/D0) / (D_as_a(a)/D_as_a(1))),'--', label='err D')\n",
"ax2.plot(a, np.abs((f - f_(D*fact)) / (f_(D*fact))),'--', label='err f')\n",
"ax2.legend()\n",
"ax2.set_xlabel('a')\n",
"ax2.set_ylabel('relative error')"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [],
"source": [
"E_th = E_SRH (D*fact,D0*fact)\n",
"Fa_th= Fa_SRH(D*fact,D0*fact)\n",
"Fb_th= Fb_SRH(D*fact,D0*fact)\n",
"Fc_th= Fc_SRH(D*fact,D0*fact)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA6oAAAJiCAYAAADOsD9zAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAEAAElEQVR4nOzdd5xc91no/8850/vM9qatklaralVbtmzLtmQ7TpTEiTcF4kCAyIELDlwgJrlw5w4XSBzgAoLLDytcApcbklhOSHBIs+zIseQqyUXWqq+k7X16n3PO749ZNau5aGek1fN+vUba+X5Pec6c2fLMtymGYSCEEEIIIYQQQlwt1HIHIIQQQgghhBBCnE0SVSGEEEIIIYQQVxVJVIUQQgghhBBCXFUkURVCCCGEEEIIcVWRRFUIIYQQQgghxFVFElUhhBBCCCGEEFcVc7kDuF599atfNfx+f7nDOE8ymcTlcpU7DDFD5P7OXnJvZze5v7Ob3N/ZS+7t7Cb3970bHh6eCAaD1Reqk0S1TPx+P5s3by53GOfZsWMH69evL3cYYobI/Z295N7ObnJ/Zze5v7OX3NvZTe7vexcKhU5erE66/gohhBBCCCGEuKpIoiqEEEIIIYQQ4qoiiaoQQgghhBBCiKuKJKpCCCGEEEIIIa4qkqgKIYQQQgghhLiqXPez/oZCoc1AdzAY3PgO9/MDm4He6aL2YDD41SsVVywWY2xsjHw+f6UO+bb4fD4OHDhQ0nOWisVioaamBq/XW+5QhBBCCCGEEJdw3SaqoVDoMSAC+IGKd3GIbcBDwWCwd/p47aFQ6Kl3mvBeSCwWY3R0lMbGRhwOB4qivNdDvm3xeByPx1Oy85WKYRik02kGBwcBJFkVQgghhBDiKnbddv0NBoMPBYPBR4A973Tf6VbY3lNJ6vTxeoFIKBR64L3GNjY2RmNjI06ns6RJ6mymKApOp5PGxkbGxsbKHY4QQgghhBDiEq7bRPU96ubCCe4rwEPv9eD5fB6Hw/FeDyMuwOFwlLw7tRBCCCGEEOUwNNLP17b9Dd88+M1yh/KOSaL67mzgzNjUs/UCq67ECaQldWbI6yqEEEIIIWa7WC7G1596jOSWg6x/dRHZZLrcIb1j1+0Y1Stg6gJlEYpjXoUQQgghhBCipHK5HE/u/S5/feJ/k8wkqJvzuyy771Z+uWVDuUN7xyRRfYemZ/u97DbBYDAy89EIIYQQQgghrnearvHCjqex/jzJ3IKLxbcs4uGNn6ersqvcob1rkqi+c29nhuAKiq2r55iehGkzgN1uZ8eOHRfc2efzEY/H332E74GmaWU7d6lkMpmLvvazXSKRuG6vfbaTezu7yf2d3eT+zl5yb2e3q+H+GobB2EgftUeszE01MWJN0Ts/ysdsH2d03yijjJY1vvdCEtV371IJ64W6BRMMBrcCWwG2bt1qrF+//oI7HzhwoGxLxFyJ5Wm2bdtGT08Pdrv9nHKHw8HDDz/8no59JdjtdpYvX17uMMpix44dXOx9J65tcm9nN7m/s5vc39lL7u3sVu77u298H0/87Bt89vX3E7bE6bs1xY33bGKV2VS2mN6pZ5999qJ1kqi+c6eSUP/FNpBuv7BixQo2bdpU7jCEEEIIIYSYVY6fOMKPX/w+f5/9FypsFdy67iZuu+terA775Xe+hkii+g4Fg8FIKBSKcOEW1XYu0OVXCCGEEEIIId6LkdFBXv/es8w/Xs/tpsWo9/8XPrXsQVwWV7lDmxGSqL47u7lwi6of2F7SSIQQQgghhBCzViQ6xUvf+ynth6pYoDdwrG2cpfffykM195Y7tBklieq7sw3YeIHyjcBjM3HC0JP76RmKzcShz6FpGibTuf3aFzZ4CW5aNOPnFkIIIYQQQhSl8im+ceAbPL37Rzx6+PMcrx9l7odWc2fr+nKHVhKSqF5m3dNQKBQGpoLBYMepsmAwuDUUCj0UCoXag8Fg7/R2K6brnpjJYK8Ve/fupaen55yyDRs2sHLlyjJFJIQQQgghxNUvnUnx/H/+hN7jh9hS/Q1ub7md7B3VrG+7vdyhldR1m6iGQqHHKI4pXQX4Q6HQU0Av8FgwGNx71qa7ufC407uAL4ZCoWPTzzuCweCFWlmviFK1aF6JWX9BJlMSQgghhBDincjmMuz60U+o3G2iM1+FNVDgG/f8P5bWLSt3aGVx3SaqwWDwobe53QWTz+mZfR+5kjEJIYQQQgghri95Pc/Tz/8nNT9VmZ+roM87hrrJxrrVD6AoSrnDK5vrNlEVQgghhBBCiHIpFAr89OCP+NtDf08yEuNP7Z9n/B6Vm9bej6qq5Q6v7CRRFTMik8mUOwQhhBBCCCGuOpqu8eKOZzA/F8dEFM9yD1+854usa7z1um5BfStJVMWM6OnpIRQKnVf+yCOPYLfPrsWIhRBCCCGEuBxN13jluWcxfj5FS7KWUXsK/7oWvnnnNzGppssf4Dojiaq44rq7u8sdghBCCCGEEFcF3dDZfnI7e7f/nE8dvYdxm42+9WnW3PV+zBZJxy5GXhkhhBBCCCGEuMIKhQIvPfsMPz75E75n+inz/HO59fZ1rNlwDxaLtdzhXfUkURVCCCGEEEKIKyRfyPPiM09jeyFFS7qaW/xLufnjG7i75W7p4vsOSKIqhBBCCCGEEO9RXs/z3LM/xfNsjrZMFcOODAMbcmy841OYTJKgvlOSqAohhBBCCCHEu5TL5fjPYz9ga8/XaB2q5jPq/Qzek2fVbZskQX0PJFEVQgghhBBCiHcor+XZ8eSTeHcbHPC8iG+Bj49/6FdY1XgbqknWQX2vJFEVQgghhBBCiLcpmUzw0k+2U/WqSnU+QL97jLvXbuKLN6+TdVCvIElUhRBCCCGEEOIyIpkI3zz4TSp+XOCWyA30ugYx7q3kxrX3o6rSgnqlSaIqhBBCCCGEEBcxPDLAvv/cxd+qX+eEOkh314dY1OxAj9ax4pZbyh3erCWJqhBCCCGEEEK8xfHjhzn6oz3M7a+j06ije+kHWfu+jcwLzANgx44d5Q1wlpNEVQghhBBCCCGm7R9/k8Fvvk7nUBMdSi29LWN0vv9GPj3n9nKHdl2RRFVccdu2baOnpwe73X5OeXt7O93d3WWKSgghhBBCiAvTdZ1X973EP4z+Ey8Ov8h/yX0S0wIby95/K3dV15Y7vOuSJKpiRqxYsYJNmzaVOwwhhBBCCCEuStM0XnnuWbRdk7TE6zA6M/zX1f+V7vnduK3ucod3XZNEVQghhBBCCHFdSWWSvPyTZ3C9qtGUqWTCaufY2ih/d89W7HZHucMTSKIqhBBCCCGEuE6MJ8f55qFv8v0D3+Pv9j9C1JGg/84Mq+64F4vFUu7wxFkkURUlt2vXLvbs2UM6naahoYHu7u7zxrMKIYQQQghxpRw50sOJp17HOmbwf1r/D+ub15NdU8majo2yBupVShLVa8WP/gBG9s34aRxaAUxveVvULYH3feUdHWfv3r309PScU/bII48AEAgEePjhh4HixEtPPfWUjGcVQgghhBBXlK7rvPrSC8R39jN3spF2pZYTLeP8xwe+R0tVW7nDE5chiaqYEZeaTGnhwoWnv160aBHbt28vVVhCCCGEEGKWy2k5/rP3P9m7cycPHfowNrOXw0vHWX7v7XRUVJY7PPE2SaJ6rXiHLZrvVjoex+PxzOg5wuEwO3fuZHh4mEwmM6PnEkIIIYQQ14fw1AR7f/Isz0+9yOPuH9MZ6OT47QnW3HEni2WY2TVHElVRUplMhq1bt9Ld3c2mTZvo7e3lBz/4QbnDEkIIIYQQ16iTJ45y+Ce7aTtRRadRQ7Z+MRs2foSb6m9CUZRyhyfeJUlURUmFw2EAGhoaANi/f385wxFCCCGEENcg3dDZObiTvh++wW29S5ir1NLbNEbrxqXcN//WcocnrgBJVEVJ1dfX09DQwKOPPkp9fT319fXlDkkIIYQQQlwjYrEIu5/awT/nHufV3D7WmVZRv6iepffczF01d5Q7PHEFSaIqrrju7u5L1j/44IMlikQIIYQQQswGvUcPcmz7a7T2VTJfr2RtxzI+ueFBNjRvwGKS9U9nI0lUhRBCCCGEEFcdTdfY0b8D5dtjzJ9qKnbvbRyl8Y6F/PqiR8odnphhkqgKIYQQQgghrhrhqQle2PkMf537R4aTwzxs+RQss3HD3bdyV6V0771eSKIqhBBCCCGEKLvDB9+k75k3aeuvZqlRz7IbF/KF9V9g/Zz1mFVJW643cseFEEIIIYQQZZHX8zz3xjNYfhSlLVpPm1LN8eZxWu9cyp93/nW5wxNlJImqEEIIIYQQoqQG+o/zs4NP80/hb5BKJPjr3CMcWTnJ8o230uGvLHd44iogiaoQQgghhBBixuXyOfbu2knmlXHaJ+uYY3ew+NbFdN/czZqGWzCppnKHKK4ikqgKIYQQQgghZsxgYpDdP/4Z7a8HaMp7mbK4ObJonIV33cbfNvxiucMTVylJVIUQQgghhBBXVD6fZ+/zz/Gt5Pd4enwHd0RX4/NtJL3GxfK1d7PUImufikuTRFUIIYQQQghxRQwOnuTA0y9Te8RJY95LTZOLh9Y9xEfmfoR6d325wxPXEElUhRBCCCGEEO9aQS/w3Mnn4DujdEzUM58aeitHSK1x8ns3/zEWaT0V74IkqkIIIYQQQoh3bHion5de+Tl/m/snxlJj/KH+ENpCE113rmF90+3lDk9c4yRRFVfctm3b6OnpwW63n1Pe3t5Od3c3W7Zs4QMf+ADt7e1lilAIIYQQQrwbmUyavTt3knt1irbJOpbRwJLbF7Hpxi9xe9PtmFVJL8SVIe8kMSNWrFjBpk2byh2GEEIIIYR4jwzDYP/kfl7Z9SxrX55Ls+Zk0uLiSNcYC+5azV83bSl3iGIWkkRVCCGEEEIIcZ7x8RH2/ewFnko/yw94mkatluaaXyNwo5ulq+7FbJZUQswceXcJIYQQQgghAMhls+x9fieZPeO0TdQxnypGG+ey4p5buLf1XjxWT7lDFNcJSVSvEY++/CgHpw7O+Hk0TcNkMp1TtqBiAY+seeSKnufYsWPs2rWL3t5eFi5cSHd39xU9vhBCCCGEeHsMw+DA1AG+f/T7rPnpHDqTLYQtHo4sGKPjthv4ZPtvljtEcR0qWaIaCoX+P+CpYDD43VKdU5TP3r176enpOafskUfOJLuZTIYHH3yQTCbD1q1b2bVrF7fcckupwxRCCCGEuG5NTIyy72cvoB7O8F8bvgpmBV/nJ/E3tbBszT0ska69ooxK+e7rANoBSVTfhSvdonkx8Xgcj+e9d+m43GRKixYtAsBut7Nhwwa2b98uiaoQQgghxAzL5bO8+vzzpHaP0jZexzwq6XeP8d8XfYn1yzbis/nKHaIQQGkT1a3A46FQ6P5gMPjvJTyvuMoFAgHS6XS5wxBCCCGEmJV0XadndD//2f9DDr75Ov/z8K8TMXs5On+MtnVLWDv/1nKHKMR5Spmo7gaeAJ4IhUKPAduB3rduFAwGXythTOIqEA6HCQQC5Q5DCCGEEGJW6e/r5fBzr+I/YmavvYdvN25jfdt6hhcY3LB6A4st1nKHKMRFlTJR7QUMQAE+Bzz0lnplut6EmPWGh4dpb28nk8mwc+dOVq5cWe6QhBBCCCGueeFMmL1P/xzb6zlaY3V0UsNx/zDzly1lx13/Ba/VW+4QhXhbSpmoyrSu4rShoSH+9V//lXA4TFdXlySqQgghhBDvUjqdYu+Lu/iW9h/sHNrJZ4c/wqr8Yg7fMM6CW1dxa6N07RXXnpIlqsFg8DulOlephEKhbcC3gb3AVDAYjJQ3oqvD5Zaaefjhh0sUiRBCCCHE7JTLZnn9lZeIvTpE83AlLbqdfGecB5c8yF333sf86k4URSl3mEK8a9f1nNOhUMgPbObMWNn2YDD41XdwiAemH6eOFwEeCQaDW69UjEIIIYQQQgBousbu0d28+PrPufu5pdRrTjymACfnTFK5soW/W/GPmGVJGTFLlOWdHAqFPgKsnn76chlnAd4GPBQMBnun42oPhUJPBYPBjW9z/0cozmbcDkROHUcIIYQQQogrQdd1et54leFXjrI38zr/z/skHtXNgoYGKpY2sWzNehbYbOUOU4grrqSJaigUuhN4jOKaqmeXTwHdwWDwZyWMZTPQe3ZyGQwGe0OhUCQUCj0QDAafeDvHme7uu3eGwhRCCCGEENcZwzA4dHAf/S8dpKrXQXXOj1OpJjVnHn9x+19wW9NtOMyOcocpxIxSS3WiUCjURnFJmiiwEQhQTFg/Nl22PRQKtZQqHoqTO+25QPkrnD8jsRBCCCGEEDNG13UOHnqDv97z19z33ft49bs/Y/7BGmKeFCduS1D1xRV86Dc+wz2t90iSKq4LpWxRfRTYEwwGV59VFgWOU1xb9SjF1tZ7SxTPhumY3qoXWFWiGIQQQgghxHVK13UOH3yTgZcPUnHcRk22gh/P/QEtLR147mnG07aI2yvXlztMIcqilInqBuDPLlH/BPDZEsVyytQFyiKA/+0eIBQKPXDW09XAl2X2XyGEEEIIcSGGYXBg6gAvv7qTpc/VUpOtYB41nKgYJbEqxr/d+i0q/FXlDlOIsitlonqhpPBs/rexzRUxPdvvZbd5GwnnRopjayPT+2yn2J2441I7CSGEEEKI64emaRzY9xrDe4+xq/Ay37H9BJ/u4U9cnyexKsbim9dIy6kQb1HKRPVp4IuhUOixYDAYP7siFAq1Uhyr+u0SxVLxNreJXGqDt84OHAwGI6FQaG8oFHo0GAw+8tbtpydw2gxgt9vZsWPHBY/r8/mIx+MXrJtpmqaV7dylkslkLvraz3aJROK6vfbZTu7t7Cb3d3aT+zs7aYbGyMnjfP9/HaNtqo6KghcX1QzXNPHJ+k+y1LkU2tzowBv79pc7XPEuyPfuzCplovoFisnoiVAo9GfAqxRbUVdP10UoLvdSSpdKWN9t624vxbVVz7uW6fVVtwJs3brVWL9+/QUPcODAATwez7s8/XsTj8fLdu5SsdvtLF++vNxhlMWOHTu42PtOXNvk3s5ucn9nN7m/s0cmk+a1fS/xg+x2dgzs4L+d/BXmZ1roqxknvtDMkpvW8GnfHeUOU1wh8r373j377LMXrStZohoMBqOhUGglxQmT/hwwAGW6ei/FLrSxEoVzKgn1X2yD9zDO9BjFdVWFEEIIIcQsF4tFePOlV0j3TNA8WkWdbuGlhS9wW9ttDFqy3P6+G+lwussdphDXnJKuozq9ZunG6aVq2ikminuDweDxEscRCYVCES7cotrOZbr8AoRCoWPAI293vdXrybZt2+jp6cFut59T3t7eTnd3d5miEkIIIYS4MoYTw+wY2MHoK718qOdmmg07UbOfk3MmqVg2h/9c9UOsVhs7duzAKUmqEO9KyRLVUCj0e8ATwWDwxHRievwt9d8GHgsGg8+UKKTdXLhF1U9xvde3o/cCZR0UW4ivaytWrGDTpk3lDkMIIYQQ4j3TdZ2jh3ro23MQ13GFf/X/B89597LaegOL582jdnk7XUvWsshc0jYgIWa1Uq+juhc4cZF6heK4zlIlqtsoztr7Vhspdk++nMeCweCFEtIHuPD6rEIIIYQQ4hqR1/PsHniF5I/7qRpwUpXzM59q+rxjvG/effze2iDtPhntJcRMUUt4LuUy9b3AqlIEAqcnNmoPhUKnf8KEQqEV03XndOcNhULh6a6+Z9s+PYvv2dt9AeidPrYQQgghhLiGTE2Ns/PHP+Zf/+//5vZv3c7mZx7CNmQQ9ibpXRfH8budrPtSN5vu/bgkqULMsBltUQ2FQndRbGE85ZFQKPTWQYoVFLvbbgTCMxnPBdxFccmcU0lox1uXnJm2m7eMWw0Gg3tDoRChUOhU66kfOHaR/cVZMpkMTz75JL29xZ7TCxculG7CQgghhCg5wzA4crSH/t0HsR3XmROroRUXFnsdd224izua72BF7Y24bK5yhyrEdWemu/6uAD4+/bXBhbvaQjEJ3E6Ju8xOz+x72SVxLpZ8Tnf9Lcl41JE/+zOyBw7O+HkKmsaUyXROma1rAXVf+tI7Os7evXvp6ek5p+yRR4ov9datW1m5ciXd3d1kMpnTCasQQgghxExLpZPs37OHnyg/59nhZ/lg7y3cP3UX/e4xji4ap+GGuaxaeDM3mj5a7lCFuK7NaKIaDAb/nOJSNIRCIR3YUMLJkkQZXWwypVNJ6S233AIU1zRduHBhSWMTQgghxPVloP84x/a8iXE0yZzJauoNK0fa97Fo3iJa596AtX4ua2tvLXeYQoizlHIypa2cWb9UvEPvtEXz3YrH43g8nhk7/vDwMIFAYMaOL4QQQgiRTqd4dWgPz00+z9DBXn6/51N04GfMZnC8fYKKxU1sXfEv2Gz2yx9MCFEWJUtUg8Hg50Kh0J0XqpteV/WjwWDwL0oVjyiP+vp69uzZU+4whBBCCDGL6LpO34ljnHitB45lmDNVxUuBZ9nW8EPW1K3hiGuKtuULuaH1FlS1lHOJCiHerZJ9p4ZCoa8AT4VCIe8FqqeAr4ZCod8tVTyiPNrbizPk7dq1CyhOrPTUU0+VMyQhhBBCXIOS2SQ7+nfwJy/8Cc//yROYt44w9+UKPEk7x9snWHfHRnZ+Yid/f/ffc8dHP0Rr+zxJUoW4hpSy6+8DwNZgMBh7a0UwGIyGQqHvAJ8A/rKEMYky2Lx5M9u2bWPnzp1AcTyrEEIIIcSlFAoFDvW8wci+41j7NMjo/Fb7n+IwO2hp/DRapYP2FYtY2SxjTYWYDUqZqLYDb12L9GwvAx8pUSxiBnV3v3UFonPZ7XYefPDBEkUjhBBCiGtVf7yfF4ZeIPPiGGsOz8OnOfFRw4BrjEQrfG3DVlbUrcRqspY7VCHEFVbKRLWXYrJ6MR3T2wghhBBCiOtQJDLFwVdfJX5onMphB19q3MKgbYx7c7fR0FCFc75K54pl3FQpraZCzHalTFSfBh4KhUKPBYPB18+uCIVCy4HNwGMljEcIIYQQQpRRupDm1bFXOXDoDRY8X0VTvJomrKTVSgYqJvncoodYungVbd42FEUpd7hCiBIq5ay/D4VCoQ3A3lAotA3YDviB1RTHrx4LBoO/Xqp4hBBCCCFEaeWyWQ7uf52xnj5s/TpPOZ7n3wNP49e9fFn5bY4sHKN2cSudS9Ywz2Ird7hCiDIqZYsqwArgq8BngY+dVb4VeKTEsQghhBBCiBmk6RoHpg7w0tBLtP3USfNkNRWGDT/VDLomWN64grtvfoAVNStwWpzlDlcIcRUpaaIaDAajwEMUuwAvny57tZQxCCGEEEKImVEoFDhyaD/DPcdR+jLEMlH+sOnvAPjvym+gt6l45lfTecMymv2VZY5WCHE1K3WL6mmSoAohhBBCXNty+RwHIgfYPbIb+wsZVp+Yh0d34KGSMVuYfL3Bo+seZU3DGqocVeUOVwhxDSlLohoKhVovVhcMBk+ULhIhhBBCCPF2ZbMZDu/fx9jBPsz9BRqiFfxGxx8RMyf5hPIBaudU4uyooH3JQlbUy8y8Qoh3r6SJaigU+jLwhctsZipFLEIIIYQQ4tISiRj7JvexN/waif1jPPDmbQQMKwFqGHJMcLJlkj++8Y9Z1rFCWkyFEFdUyRLVUCj0+xQnTHoC2A18heIkSseANcBHgUdLFY8QQgghhDjX6OgQvW/2kOydxDVipiFZxbb6/8fTgZdZ61hFb8cE3rnVzFu6hDUV1eUOVwgxi5WyRfUh4NFgMPhFgFAo9AfA48Fg8Jnp549TXK5GCCGEEELMME3TOHn8CAcmDrAr/wqHBw/y16/9DnOwkVWqGPRNcmThGJ9c9sv8cddf4ba6yx2yEOI6UspEtZ1i6+kpvdNlz0w/f4rLdwsWQgghhBDvQiqf4tDrrzN1eAjTUJ7acACP5iTpHmDXvF0sr13OgRvHaexoY27XQjpkHVMhRBmVMlHtBTrOer4d6Ab+cfr5SoqJq5iltmzZQnd3N/X19W97n23bttHT04Pdbj+n3OFw8PDDD1/pEIUQQohZQdd1BvqO03fwCOPjI3zD9wOORI7wl72/y4JMGyP2SQYbwthaNW5c/D66m38TRVHKHbYQQpxWykR1K/BZ4IvTz78NfCEUCv09oACbgT0ljEdcI1asWMGmTZvKHYYQQghx1UrlU+yf3M/InmO4D0BNxIev4KYVFz5zDYFbA3x2yWdxL2/D3bSQVQFZw1QIcXUrZaL6GBA+9SQYDL4aCoU+B/zDdNFe4GMljEfMoF27dpFKpdi4cWO5QxFCCCFmlXw+z4mjhxg6coLCQALPuI3faf4qMTXBJybu5Z7ELQzXRZlo1mhY0EZX+1q+Zr6v3GELIcQ7csUT1VAoNAlsPTVp0inBYDAKfO0tZVuBraFQyDddL4QQQgghpum6zvBQPz3Jg7we20fhYIwHem7DYdjowEfcZGHMH+Gz836F9tZOllQuIeAIlDtsIYR4z2aiRTXAuZMmARAKhY4AD52a5fdskqS+Pf/+l3vPK5u7soYl65vI5zR+8Levn1e/YG09XTfXk07k+PFjb55Xv/j2RuatqiU+lWH713vQNA2T6cxStjdsbKZt6TtbF23btm309vaSyWQ4cOAAXV1dp1tWe3t72b59O0NDQyxcuFC69AohhBDTDMNgJDJM3xuHiJ+cwDyqURX14i94eLLhcXYFXuM2x1pOtE/iaPHTPH8enc2tdKkqt5c7eCGEuMJmIlHdC2zgzCRJp3RcYFsxC3V3d1+06+/+/fvZvHkz4XCYLVu2sG7dOgKBS3/yu3fvXnp6es4p27BhAytXrrzisQshhBClcKqltP/IMSb39fJXQ7v4numnENf4xtEvo1HDqGOK0boYE00an1v6ef6ypQuLyVLu0IUQoiRmIlH9A+CnoVCoA9j9lrpHQ6FQ7yX2NYLB4CdmIKZZ4f7fXXHROovVdMl6h9t6yXpPhZ37f3cF8Xgcj8fznuK8lFPJZSAQIBAIMDw8fNlEVSZTEkIIcS3TdZ3ByT4OJA/TM9HDsp/VUhcJ4NFcNGGhnrkkiHPbyttYWLmQyGon7fM6aXHKuqVCiOvXFU9Ug8Hg9lAotAp4FPg44J+uMiguQXOpZjADkER1Fjs7KX3rkjNCCCHEtc4wDPr7ehk43EtqIIx1DGpifo7a+vhiy99gVs2ElN9Eb1QwN+Spbm9iaGyCX9rwO+UOXQghriozMutvMBjcC5zT5zMUCunAhguNURVCCCGEuNbksllOHD/K2Il+IhOTfLf6aQ5OHuQLxz7NquQi8ko1I64pBpqmcLXU8q0132JeYB5Wk/Wc44zt2FGeCxBCiKtYKZeneQS4VLdfMYvY7XZ6e4u3e3h4mPr6+nd9rEwmc6XCEkIIId4xXdeZGB/lSP4YhyNHML2eovNYPbWpCpyYaMVFRjFTuDnPfe33YW+tJ+n309YxnzabrdzhCyHENalkiWowGPzzUp1LlF97ezvbt29ny5YtdHV1vadEtaenh1AodF75I488It2HhRBCXFGZQobegSNM7u8nMxzHNqFQFffi1VwEO/6IUeskH03fTbOziqPN4zgb/dS1zaG5pY3/a9lQ7vCFEGLWKGWLqriOBAIBHnnkkXPKHn744XOeb968+bLH6e7uvqJxCSGEEFBsJR0ZGmCw9zjxgUkYy/Hd6qd5TnuZm6PL+G+DnyWjWBlzRxhqjDBal+Ury7/KvIZOfDZfucMXQohZTxJVIYQQQsxauq4zOTHKwIkTnND72c9hYv0T/Oqr9+HSHdSjUk81Y7Ywc+vb6Vp0Awtc89Es9bQ2tTLXLH8qCSFEOchPXyGEEEJc83RdZzQ6Qm/qOMcneqnbZcEeMVGV9OHWHFQDT1W+yg8bn6XLvYD+liksdW4qW+pp6ZhLk8fHCj5Y7ssQQggxTRJVIYQQQlwzdENnMDHIyOu9xAen0MezOCNmqlM+nvO8yl81/CsY8M8jf0LKkWVgzhSmGgf+xmp+uf1hfr/qz1AUpdyXIYQQ4jIkURVCCCHEVSeTSTPYd4LxwWGSw2GYyDOuT/KXVf9MRsvw2LH/zvxcHVOWGBF3gpOtUzS3dvL1pV+n3d9Ohb2i3JcghBDiPZBEVQghhBBlUSgUGBnuZ7R/kNjIJMlYnCcbn+Nk7CS/0fMRViS7aMIC1DBhjZCtzPKxzo/R4e/Ac2Mrnvo2mnyBcl+GEEKIGSCJqhBCCCFmjK7rTE6OMdzXR2Rkgt21BzkZO8nSN5u4c3gVFsNMLVBLBTGTjWhllKXVS8mtdHDSnKKivpY5be00ub3cANxX5usRQghRGpKoCiGEEOI90XWdcHiCkYF+TjpGOJnqw3Qow5Ijc6hMeXHqDiqACjz88fwncVV4mVvdwDH3ONZqF776KhpaWlhQWcO31HvLfTlCCCGuAiVNVEOh0JeBB4CLDRwxgsFgVQlDEkIIIcTbkMtni+uOaiP05QZI9YVpedOPK2ElkPHg1O34gK+3/gOHHCe5N38bndYGTlZPYa524KmroLapkR81/BSL2VLuyxFCCHGVK1miGgqFHqeYpALsBaZKdW4hhBBCXF40GmYwOUh/bpCJ4RFqX7NhjSl4kk4qcl5MqPzfxq+x0/sqSzOd/Hb8UyRdGWL1U5gr7LiqfXx53l/SVN2M3Wwv9+UIIYS4hpWyRXUD8FQwGLynhOcUQgghxLRoNMxwfJghfYSx8AhVr5gxxXXsSQuBtBu35uRbNU/w75XPUJ+r4q8Gv0DUkWSqKsmUP4u1ysVn5/4m/6OxhWpnNaqilvuShBBCzFKlTFSngKdKeD5xldmyZQvd3d3U19e/7X22bdtGT08Pdvu5n8y3t7fT3d19pUMUQohr1qlJi0ZjowyaRhiKD9H0vANLHBwpK4GMG6fu4KmKp9la+x0supnHj/05EVuCpDPLQHUYUyDN3R0f4hfbfoMmTxMui6vclyWEEOI6VcpE9TvA6hKeT8wSK1asYNOmTeUOQwghyiqZiDM6NsRUYpIB5xgjyRGaX3bjmrLgTtvxZ93YDCtvevbyp03/CMD/GQxhmCHlyhGvC2MKpFjevI5vdXRT767Hb/WjqtIqKoQQ4upzxRPVUCh0w0WqvgU8HQqFfgxsBSIX2igYDD5zpWMSpbdr1y5SqRQbN24sdyhCCHHVi8eijI8OEx6fIJqKcKiqn9HUKMv2NtE4WUl91kX4x69hBSL24/xR258D8NWx/4rFsBP1pQn7spj9dlobl/HEvCdocDfgsXrKe2FCCCHEuzQTLap7AeMidQpwN3Ch7EWZ3s80AzEJIYQQJZfLZZkYHyU8OUFiKkI6kiSTTLGr9U1Gk6Pcvn8xq8e7cOp2rEAtYDIb/P28v6fKUcVc436SHjdDnim8jRXYAk6qqxfww7k/pNZZi9VkLfclCiGEEDNiJhLVz3HxRFVcB7Zt20Zvby+ZTIYDBw7Q1dV1umW1t7eX7du3MzQ0xMKFC99zl95du3axZ88e0uk0DQ0NdHd3nzeeVQghrrSclmMiPcHE8AipgQiZcIJCPAtxDUtK4e/mb2M0M8YnTm7kg+H1+AAfFsBPHjd/YX6BGncN2SqDPvcUJq8NW4ULT6Wfqpol7K3fi8V0ZgmXHTt2sH79+nJdrhBCCFFyVzxRDQaDW6/0MUXRt0N/cF5Z5023csM97yefzfDdr/yP8+oX3b6Bxes3kIpFefKvvnxe/bKN97Hg5tuITYzzo//9l2gFDZP5TKP2qg/cT8fKG99RnN3d3Rft+rt//342b95MOBxmy5YtrFu3jkAgcMnj7d27l56ennPKHnnkEQACgQAPP/wwUEyQn3rqKRnPKoR4V5LJOFNT48Smwoy7Ykzok2gDKSqP2lDSBta0ij1rwZ1z8putf8aYdYruiY38yvj9QAANjaglSdKWptXewpLapVRWNdObjuEIePBU+KmsrqEuUMV28/ZyX64QQghxVSvlOqq/BzwRDAZPXKT+28BjMkZ1dlu5ciVQTDADgQDDw8OXTVQvNZnSwoULT3+9aNEitm+XP/6EEEW6oRNJhImMjhObipCKxsnGU2jxHPvqjtNr6adiyMGHj6zDnXfi0G0ogA/4ny1/w37nMe6IruY3Rz5B3Jombc0R92SJOrM8uPhBPJUB6vRqkrqfiupqAoEqWszFX6trTy8bLoQQQoh3o5Sz/j5KcfzqiYvUK8AjgCSqF/Hx4FcuWmex2S9Z7/T6Llnvrarm48GvEI/H8XhmbvKNs5PSK9FFNxwOs3PnToaHh8lkMu/5eEKIq5Ou6yQTcSKRSRLRGBFLnElrlGQ4RuV+C0ZaQ82AJaNizZr5Tu12nnI8z/xkC//r5O9RBYAdsKOh8ePMMwzVj+FzdDBVmWLSmUZ1W7B47Nh9bv57y/8kEKgiYA9gN8twAiGEEKLUSpmoKpep7wU+W4pAxOyQyWTYunUr3d3dbNq0id7eXn7wgx+UOywhxGUUCgVi6SgRPUo0HSF/KEY2kSKfyKKn8pDWOeIf4KWKN8nHs3zx9QdxF5yYMaEAHmBb9ffYVvVTanIVfP3YH5M0ZUhZMmQsOdLOHPNrFzCneQG1ahV9czM4fR48AR+Biip8/gr+wrS+zK+CEEIIIS5lRhPVUCh0F5zT/+mRUCjU/ZbNKgA/xZmAwzMZz1uFQiE/sJlikgzQHgwGv1qq/Wczu91Ob2/xZRkeHqa+vv6KnyMcLr5dGhoagOL4VyHEzNN1nVQ2SUJPEsvFSJ+IkI2lyKUy5FNZ9HSeCXuUN+p6iefifHj3TbgydmwFC86CHadu50f+nWyp/zcUQ+HJg3+LCQ/gIa8USJrSHDHyKBUKdRX1jDTGwJFAdVqwuO3Y3A4+XP+LPFjzm/itfjwWD2bzub/O7ijPSyOEEEKIK2SmW1RXAB+f/trgwsvSQHFN1e0UuweX0jbgoWAw2AsQCoXaQ6HQU8Fg8O0u/vle95+12tvb2b59O1u2bKGrq2tGEtX6+noaGhp49NFHqa+vn5FzCDHbFAoFksk4yXSCpC1DMp8k3x8nH8lQSOcopPMYmQJxc4pXW44Rz8W5/Y1F1MR8WPMWnAUbTs3O667D/LfmvwXgn46GaMhXA67pB0z5RniFV/BYPeTVAilXjrgth2FPodpNNNXO5ysdX8Fv85Na7cbj8+H3V+B0ulFVlcXcx6+fCvqucrxSQgghhCinGU1Ug8HgnwN/DhAKhXRgw9UyWVIoFNoM9J5KMgGCwWBvKBSKhEKhB4LB4BMzuf9sFwgETs/Me8qp2XlP2bx582WP09391gb4cz344IPvPDghriF5LU8yGScVT5BJp8mm02TTGfLZLBNNKdKFNPYTOqnDEbafGIecDjmDvJHnO53Pkswl+cDhm1ganotds+HQbQAMW8b5lblBAP6077dYkeyiOIaz6LCjj52mnTgtTm425pO1FUh58kzZ0yh2E9ZABcEFQbxWL+oSN3GbC7fbg9vjxe3x0W25lW5+8+1dZOOVftWEEEIIca0r5RjVrcBUCc93Od0UW0Tf6hXgIeByieZ73V8IcY0zDIOsliWTSZOOJ8hlsuSyGXLZLPlsnnh1jrSSQRnPYx020HMaeq6AkdMgZ/D8/APElATtJ2tYMtiKWTNhKZiwahZsmoVfmv+HJJU0m0c/yv1Td2EFrBTHaOrAryz4Aijw8PAv8L7IOgpoZExZMqYcCWuabCGLz+5DrzIzao+DLYFiM6HYzZjcNv5iwV/gtrjxxh1kVQdOtxuX24PT6abJfCt38otv74VonbGXWAghhBDXqVImqkdLeK63YwMX7mrcC6wqwf5CiPdIN3RyWo5sPksukSaXy5LP5sgXcmi5AmlXgaw9TyGRwzxQQM8X0Aoael5DL2iM1seIuJJYwwrNxwKgGVAwUDRQCvDz1jfod44yZ7yK+3pvxKyZMOtmLLoZq27hCy3/i8OOk9wduZnfGf4UJsAx/QD4b+1/Qp9tmA9N3cHnRs/0DsgrBbJqjv3ufaSdeerybgCy9jxpcx7dkgGrwqcWPojNbqc27KM3Hsdss2CxW7HabVjtdr7f9D0cFicO7Ox+aQ8b7tpwzuuzjo+V5kYIIYQQQlxhpUxUvwoYoVAoAjwFfBt4OhgMxkoYw1tdqIU3QnFyp1LsL8SM0w0dzdDQ8gVyuSyxWAStUEDTNXTFQLdTrA9n0fIFDF2noGkYmo5uMcj5DXRDRxnIYRR0DF1H13R0TSPr1EhW5snreXyHTBh5HUM784j4UgzXR8kX8ix+vQF0o/jQQNGht2qEA3V9KDmDTa/fhKKDqiuohoKqq+yqfYPnql/DlbHzhZ5PYTJUzLoJs2HCbJj5x5rv8h8VO2jJ1PMPx/8IKP5QO/WD7Wv1/8pP/S+wIN3KX534AmA557V5ovHf+bl3D8tTXfxR/2YKikZBLVBQNQqqRiaVpmAvYLJbSLpz6CYDw6yARQGzwvvnf5D7fCYCSTe94zFMVjMmqwWz1YLFZuUrDX+BzWHHUbBh0S3YbDacDjdWW7H77be555L3bsMla89lNpXyx7kQQgghxMwq5V82HRQnU+oGPjb9MEKh0F6KEyl9OxgMvlaKQKZn673sNsFgMDIT+1+tJvuOoisuMpEEoKBQnAFL0QuoegJDMWGYzl9jVdHzYCQBM4bJfYH6HBgpUCwYqusC9VkgDVgxTM4L1GfAyIBiA8Vx/kJHegrIAXZQbedfmJ4CCoANVBvJcJRvPHJmTVk19wIocRS6MCzN5++e+zmoKUwsA/OpwXTK6ThSuZ+AksPBakyWBs4EWPx/IvcdDBUquQ2zpW66dPr1NQz6Ct/GwKBJuQeLufqsWgXDyHOg8P8wgE71w1jNldO1xS0Kepo9+X9GVwxWmx/ErlaioKBO/5vRY/ywsAVDgQ+afhun6ufVHU+dPkPUGOX7/D26Ar/AF3Bw5v4qKIxwgn83/yOGAp/N/SE2xTG9Z/HqhpRDfMf+fzEU+N1kCDPW6XozCjBgOcBTjm+iKiZujoYwFB1d0dExMNBRYhES0QPYDTtGYiWaomMogGKgqwb+vIVlhXrsJiejnikMEygmwKyCSWFp/RLm1ndhL9g4XDGOyWzGZJtOFm1WPlbzS/yC/yGsmoV0TMVktWC12rBabFitVv7c+b+xWeyYVNP57xtgNfdfsFwIIYQQQsyskiWqwWDwOMVxqlsBQqHQCooNBhsojun8QigUMoLBYCliqnib20Su5P7TEzBthuLyLTt27Ljgjj6fj3g8/jZOcWWZMgWyLmP6mXG63IoJR7xAwWwi7tGLhWclizbDhDNeIG+1knDr5x3XpptxJgrk7HaSzvPr7ZoZR6JAxukkbblAfd6EI1kg7XKRsZ1f78iZsadSpN0WMmbjvHpXxoQ1kybl8ZBVDfKKwRFH5nT9utftNJ44zCsbbqfXmz5v/w0vaFSOjfDiPXdw0pM8r/79T8VwJ2M8f6+Hfs/5HQQ+9r0JFODn91kYtk2eU2cyFB74XrHsZ+8vMGYbPafeqinc/70oANs3pZi0Zs6pd+QVfuF7xZh+9KEpYtbIudee1fmtHxRfsyfv7yNlHTyn3p3K8bv/Uaz/948cJWc9N2HzxpJ86YfF+ice6EEzn1vvn5wi9B0NgMe7X8MwnVtfOTjAl5/T0NHY9onXzntt6o8c53f+7wkyFgvf/+j06ABj+qFDy65DfHLPa8ScDn70Qe95+3duf5Ob3tzPlM/LU+9733n1S/bupevYMcYrK3j2ttuL6b9hgGGgAMv3vUHLyAjjFRW8uHw5ilGsL35MAMsPH6EmGmXM7+eNjvZzPoJQDINlJ/vwZzKMeb0crq87Uze93eLRMdyaxrjLxUmfF0VRUKe3UhToTKawApNWK2M2K4qinH6gKLTqBmaTSlhRiZrUs+pUFFWh3mJBMZmIGwbRXI7v79mDoqooqgqKSsBhRzGZSOk6eQMUVQHVhGJSUU0m7HY7qCoFw0BTFFSzGcxmFLMZxWQqHkdcFRKJxEV/Z4hrn9zf2Uvu7ewm93dmla2vWDAY3BsKhY5SHLu6hmIC5ytxGJdKON/OxE/vaP9gMHg6Ud+6dauxfv36C+544MABPJ7zWy5nnGcBpnj8nHMbxnTi11SHAbgMMDDOzmNP11sMcOjFirO3Kf7NXYvZMLDrOqerpo+lqAqKUoNdN7AWdAzDOFNvGKg+FV2twaLpqHkdputPbaO4VXJqNUpBx5bXT5/7VH2+UiWvVmPkNcx5A1WxETCtRtd0DANe7r6ZgllBHcvhGs9j6GBMx4kO//aBJeRVCEzqVE2oxXNOP0Dhj+9upQAsiNtoG7Zz5sUx0DH47ftqi0lPxk190saZTAwKaHzpvs+iYrAkFSAQt06/esXrKKgaf/eRz2AzKdREXHjiKig6iqKhqKCadZ7/3K9hVRWcgzqOmIaqGqiqjkk1sNsUEl/8NSwqzDuRIBqN4vM4UFUDs6LjqTXR8D9/GbNicGvvGJmchm7oGJqBYWj4q1RaH/kAhqGxsneEXEZH141ihLpBjdeg+XNrQNfp7D+BZoChT98fw6DBm6Ppkx3ous6c8cMY0/dFNwwMFFrdCRo/ECCjGVSNHMZAObMNUOccp35dAYeWxjnci46CoZxKBRW8rjFqbohiqGAdG+Dslm5QcHgjVM2PkrJaMEUnzrwhp+tVV5SKmjEmHSa0TALj1M7T2+jmCQKWIUbMOmm9abrqrHRVn8SfCzOoN5JQas45NgqYosP4EnH6apuYqKqYjp3T19D15ht4EnGOd8ylt6sLQ1HPOgZ0fu/7ODMZTixeTM/iRTCdZIMOGsz/t29i1jSOL7+Bw52dkMud+Z40DD7+7ccBOLZ6Fb0dHed8y5rzeT76ne8C8PzatfS3nNubwJFK8cEf/gjFbOb5NasZrapCMQxUw0AFvJkMG471gsXMi01ziDjsqFB8KAp+XeemTBbFbGaPw07SZEJVVEyqgqqqBMxmFjkcKGYL+3NZ8kqxXDWZMZnN+B0OWioqUKxWTibiYDZjtlgx26yYrTacLhf+gB/FYiVZyGOyWjHbHVgddlSbDXWWJdk7duzgYr8zxLVP7u/sJfd2dpP7+949++yzF60raaIaCoW8FFtQN1Ls+uufrnqVYgL37RKFciqJ9F9sg8t0232v+18zlLP+aFbO/efCLtyD8qoyGXHw+T96/xU73u+d9bWu62RzOplsgXSmQCZb4H6XhWxBJzqeJhnNkctpZHMF8jmdgqbzqTkucppO6kSCXDiDljfQCjp6XsdQwdfuJJvXyfQm0WMFDM0AzUDRDJJm+Pc8pPMad6WhNqdMd7otOmrS+FK2mLx8JmajSldJJs7Ee9ys8enxYv1nYzachoKmgKYo6CaY9Kj8dc6Gy2am3ZzFYlFQrSpmmwmrzUSk2s5ImweH1YxjMIXDYcHpNON2WXC5rfh9NqweK1aTyq8qF3/feOGSC5n4gS+c/ToX8uj5LIpewKQa+LMZfis6hZ7Lohey6PkcWj6Lx+vCYbfiSyWo6Rso7lfIoeXz6Fqe+rrVeD023JEo3iMD6JqGXsijFfJo+QJdt95KwKVgGYvBwQm0QoGCpqFrGpqms/guN5UOG4WRLBPHDqBpoOnTDwM6V5yg0hwjMh7j6PHsedfVte4QPmuWyESevkPF1vLTnwEpCvPv7cdpKjAy4cB1OI9JMTCpBiZVwaRC+8fsmM02RqdipIdex2qxoqoqiknFpJpo/txaDMXMZBjc2VGU6URQUc1YbCbqf/vTGIqJhfEcDQUDQzGhKCoGKhaHk8pf+RWMQoGWbAaPpqHpxfHKumHgcDiwtrZg5AtYLGZMFD9cyFP8IMKayZDt7YV8gZHO+YSdLgwFdEVBV1WqBwep+/lzoOu88oH3k3SfO2ygsX8Ay65dAPzgwx8ia7efU99y/AQ3vfQSAE888FE087m/zuYdPcaqnh4Mm43vr7+9mGAbBiaKyfS8aIyFqRQFq5UdVVXF11RRMKkqJlWlzWSixWYnZzbzRqGAyWzCZDZjNpkxW8w0+nxU+f3kTWaG0yksNhsWu/10suz2+bB7PGCxgtWCyWo95+epEEIIIS6tZIlqKBR6BVgx/fRViku7PAVsDwaD0VLFAcUkcnpSpwu1iLZz8S6/V2R/MXupqorDruKwmwm8tX9A7WVayddcmRgKBZ1UukAylSeT1/hVm0omrzHZn2Df6wdpamwhky2Qy2ossigsqLWTyWsU3oyipQvoBb04KVLBwOws/mE9Hs/SEc6hFAxMOpimW5Nftk7y1N48GPD7Ucd5sey2FfiZI49DUfhsxEZBBV0tJsGGSWWq1kKm0YFLVag+kcFsNWG1m7A5zdgdFvxNLirqXbhMJtR0AZ/Xht9rx+0yY3acSWxMDvD46y/6mtiA5s6Lv2Ye4Ib1F6+vpfjp2sV0TD8uZrmusyyfRcsk0bKp4iOTwu11glFg4eQ4jeOjFDJpCpkUWjZNIZvBOf+DmIw87ccHsQ5MUsgVk+xCPk8hX8DZuQBFy+LJp7FGkqClyWlQ0AFDx1V9APJpYoPtHI/VnBOTw5TjfXox0Rvt7+JYouqc+gpbmo2LjoHFyav9dWRSNixmFatFxWI2UeG303RzLVgChI/GSRfyWGwOLHYHZrsTT0UFTfM+CjY3VfEcqt2D1VeJxVOJaraePo+h63RkMujZLIV8Hi2Xo5DNouo6TpMZI5/nk2Oj5LPF8uK153AtXkLtAw9g5HKsHx+jUChQyBfQNI1CoUDNksX4Fy+mkM3Somlouo5u6BSmk22LxQK6TiGZJFlZga6BRjGR1hQFx7FevEePErdaeOXee8+7pyue/AHzjh4l7Pfz03vPnxRrzUsv0Xb8BBOVlTy9cUOxNVrTMOs6qm5wU28vc9IpJnx+djc2YALM04myWVW5Aaiy2piyWDiGQTwe56nXXsNssWCxWOioqsLlcpPAIFrQsDodWBxOrG4XVqcLT0UAs9MJFoskyEIIIa5JpWxRXTn9/xPAy8DeYDD4TAnP/1a7uXCLqJ/i5E4zvb8QM8JsVvF6rHg91nMrGnzo6SOsXz/3wjve+c7Ok84USGUKhDBIZvKM9cVJJguk03nS6QLZdIFb3CZW+SykUjm0fVGMXLGlmLwOBYNktsDR0TgkC7xv6EwCnAWywHccOV61aVRpCp+Jn2lR0zHIK7C7UmGy0kwNKgtGNBSrislSbPG12E3YOzx4a5w4dFAjedxuCx6PFa/Hht9rK7b4Wma+G4CiqphsDky285N5AE8dXOpjjJa10HKJ+pVA/BLdj+4t5NiYipNPxSgkI+STMfRsEqq9kEux6mgv8yYmyGfT5DNp8pkMVpMGncshn8YTHSOtZMnndbLZ4ocgZGNwcDfk07x2cB7j2XNbROc4I3ysZR8ATxxdRSR/5trNisa8QIL7FsRRbG5+tN+Hhgmr1YzFZsVqs9HQUEFnVwvY3GQGJjE7XDidHqwBP1ZPHa7qBuwVdWBxcutlErFPXLIWLvEZRvH11XUKmQyFTJZCJk0+ncb64INYDYNMMknV2DiFbIZ8trg8UiGXpW7ePLyAI5nixli0mEgXNDSt2Crvb2vFmsli0jVMioJmGOR0A83QKGg6sZ4erOPjDFRVsXfFCgyrlcORyOmYlK//MxXhMMfa29m9ZvV5Mb/vP3+INx7ncGcn+xYvwqzrmAwDs2FgNmDj6ChOq5WTXg8nHQ7MqgmL2YTFbMFiMbOishKrw8G4bhDDwGK3Y7U7sDgdWB1OautqUR1OdIsZk8MxK7tbCyGEKK9STqakhkKh5cDHKf7d8NVQKGRQTOqeAp4IBoMnShUPxRbdCzWSbAQeK8H+QlzTHHYzDvupHyEO5tWdP9nROd5Gb2td10llNKKxLNFYlptVyKoQjWSZPBolncqTTRfQMhpapkBrtQWPDZjKoeTyKCkNVTdQ9eJEVd/qm6DXotORV/lI8vwZob/lyjLpUlioW1gZU9DNClhVVKsJs92E2uXFU2nHlTWwJjXcbiteXzHJrQzYqQzYsZQg0X2vVLMV1VuJxVt5wfqm+dB0if1v+fClj/+grqOlE+STYfKJYiKs6lnw2iCX5LZ9+0lHI+TSKXLpNLlMmgoX0GSCbALdSJDK5InEc+QLKXKaQn5oP52D/4RhwA8Prjszfnja8sAgd9b1UsDCY4dXYTOD1QI2iwmbzcKCNg8L5teRN7l49VAUm9ONze3F5vFj9QQINLbgrGrAsHnA6r7kxFGqqmJ1OrE6nUDgnDobl55coQJovUR9E2c+xb2Q+cBGw+Bn27ezdtUqcqkUhXQax6c/jVooUBWJ0DE5ST6TIZfOkM9myGdzNP/Gr2PJ5sjEY2iZDPmCRkHTKOgaeV3HBGjRKDFdY8RsoaBqaJpKoVDAyKnM+fo/Y9J19i5fzpHO+efEpOg63Y9vQwFeXrOa4+3tKLqOabrF2F4o8MGDB1GcTvbV1THhdGJRTVjNJixmMy6rlVWVlSgOB4OaTtZswuZ0Fh9uNw6Ph0BtLarThWK3FSf5EkIIcd0p6U//YDD4KsVuvwBMJ64bKHZ6/OL0rL9VF9v/CseyNRQKPRQKhdqDwWDvdDwrpuueOHvbUCgUBqaCwWDHu9lfCPH2qKqK26nidlporHvLUkcrGt7RsfIFnV/MFUjnNcLhDOPDSRLxHKlknlQqTzZV4IE6OwlVJzuUxjiRhJyOktFREsWE95uRMBOqwcqMiTszVsbeco7HPBk0h8qqgoUFCQXdoqBYVBTbdKK7zI/XbcOZLGDNGng8Vnw+O5UVdqqrnPjcllnRCqWoKmaXF7PLi6Pm/LbfeZ3nd5092/2/cIFCw4B8CjJxPjN4nFw8TD4RJZeMkk3ECLhUqDBhJMJ06r3kMlmymRzZXIFYPEtmZBQyPycdz/Lc0VXnHX59zTFWVg4xlXXwL70rsZo0bCawWcBmNbFmgYu21mriupP9J9LYp5Nch78Cm6+aiuYObBUNYPfBRZY3ulIURUG1WHAEAjgC5ybKdqD6EvtWAcsvUd/G+Z8hFTIZ+N3fhUyGunCYRCRCPp0ml0qRy2QoZDI0PvoV9HSGxVOT1KbS5PM58oUC+YKGoqpYW9vQUylyukFc18nrBgW9mCzbIxGav/7PADx3x3rGamvPOb8vHOHen/wEgKc2bCDq92HWdSyajhmD6kyWW+MxFIeT3T4fOYsFq9mMxVJcq7jC42ZuXT2qy8lYoYDJ6cTu8+Hw+bAHAliczlnxfSeEELNd2T6mDIVCNwB3Aasojl0NXHKHmXEXxQT52PTzjmAweKFW0t1ceNzp291fAFu2bKG7u5v6+ouPJXyrbdu20dPTU1xG4yzt7e10d3ezZcsWPvCBD9De3n6lwxXXOItZxW+24gfqfQ5ofec/Yv6rYZDMaUxMpZkYSxKN5ojHciQSOdLJHL/W5CCW1yicTGAMZSCnQ0ZDTWiomsE/RKfIA3emLKzMmc9JdA0M/qYii89p5aaUifoMKDYV1WbG4jRhc1vwrajC77BgT2m4zCYqK+xUVToIeK+DbpaKAlYXitVFwFt30c0swIZL5MEeXee3YpNko2PkIuNkY5NkY2EqvGZwGNimJljjO0ounSabyRST3WweEqPQ+yaR8QK7euefd9wPNe1nrmeK44kAPxjswm4xsFsU7DYTdruVm5fXUllXw1TGysB4FrsngN1fic1fjSNQi6uuFZMrcM4sz1cLs90Odjt4PASqqy/5y/lSrcEA569MXew5wZ/8CXoqRc34OMlojGwiTjaZJJdKYcrnqVt7E3oqzZLJSSLZLPlCnnyhQE7TcJhU9HQGfXKKEauFqGGnoBUoaAXIpGnc/ybOncWJuL53oYm4TvZxS08PqsvFj1euQFVVLIqCVVWxms3MsVrp9HpRnC56CnlsDid2lxO7x4Pd7cZbVYWnqgrF5UKxWmf/96IQQpRJKSdT8lKc6XcjxVZUP8XpYyPA48BTwWDwO6WKB07PzPvI29jugsnn291fvDcrVqxg06ZN5Q5DXIcURcFtM+Ou99Ba/86XjPod3SCZKzA+kWZyIkUkkiUWy5KI5Uil8vxas4NIKo/5SBzyOUhpqDENk26QAP6ibwSAjySsdBTOtNrpGExa4OetJgJOK10TOqZEgd0vvYjNacbpseKrdtC4oIIKlxW3olIVsGGzXn9dKBVVxeqvxuqvvuBAXzew7u6L7z8H+Hw6SXZqiMzUMJnwGJnIOHWVHwVTFvfAAIve7COTSpPNZElnCiSmUmi9z8HxEQanKnhq+PxE99Nte6h2FdifamXPaGWxK73DisPlxOH2sOLGxdgr64jlLGQMO8bUCIV04pxJxK5VqqqCw4HqcFBZWcmFO6QX3XGZY/36WV/rmkYuFiMfT2AtFNCTCT7c10c6kSCbTJJJF++Rf8ECvO3taIkELlUhp+tkdIO4oZE3DEzHjlG5Zy8Fk4lnuh8475wL9+9nyb43ydhsPPmhD2IuFLDoOhbDwAYszGaZa7WSd7nZZ7VgtzuwOx043G7sbg+1dbV4a2pQXC5wu6e7lAshhHirUv7VEjnr67PHpR4vYQyiRHbt2kUqlWLjRmlgFtcvVVXw2C14miy0N11mDO9bpLN5fiWnEU3lGToRY3IsRSKeJRXPk0/msRk6XXVWIukcejyLO6FgiiVRDYUMxaWJfu+5w8CZpYmyikHOrKBZFDIBC5kFHipcVnzDWVx2Mz6fDX/ATlWlk9oaJ5V+O6p69bX4lZrZ4cLcOA9X47zz6qqBO8/PZYoMg65UlJaxfrJTI2QiY2Sik2RiYbzNd4IWxXa4H29qinQmx9hkivRwiowWYXnscTAXeGOshZcmi+2Se7/9OFZVw2Ex+KW1WSzeKg5OOBiJmnB4PTi8ARz+KhwVtTQtXg7OSgybD8V09Y+jvhJUkwl7IID9rO7RXUuWXHKfz1yk3NB1tGSKh8fHyESjpKNRsokE6UQCX2cnFR/6MOl4nBvCU2RzeXKFPFlNI6frFKJR0n39TAF7b7kFI5uFaOT0sVe//DLtvceZrKhg+90bUTUNS6HA3h/9CCuwKp6gyWol7vFwyG7DbrNhczhwOIutuk0NDbgrqzCcDgynE3sgIK26QohZqZSJ6teAx4PB4NOhUOijFLv8bg6FQi8Hg8F/L2EcQghx1XPYLDhsFmo8duZdbmkjziw6ns4UGJtIMZXIssmsMJXKMfr6JMlwFi2ZR08XIK2RzBR44egEk8kcD01aMQyFBDA4fbz9lgI/8RQIOK3cP66CRUWxqZgdZmwuC84mF9VzfVS4LNiTOnU1TuqqnVivw1bbi1IUzC4/3jY/tF04YZq7Ed46D7eey6Jko5CeYuHJw9T2Hef4of147VbS8TiZVAqzywGJMUaOG7w+4qJgjJ/e36oW+K3OFwD40VAnJ5IVOK3gcphxOu34K7zccuticNcwGgXD7sdZ24Kzrh2zwzVDL8a1RVFVzB43FZ5Lt2A3XuY4q3SdTCRKenKCVDhMOhLBs3YtzlwO5+QkN01MkslmmIpEMFks5HQdJZUke/w4o1YL+5YuRcvnIXFmAez1W/6W2rEx+prn8MLNN6PoBmatgFXTsBoGt09OUeVwMO73cdJux2EvJrlOrweH18uc5mbslVXgdmH2eiXJFUJctUo56+9DoVDozlAodITiWqOnP6YPhUJTQHcwGPxZqeK5Fo099sZ5Zc6lVbjXNqDnNCa+vv+8etfKWlyratGSeSb/34Hz6t031eNcVk0hkmXq24fQtAJp05m3hefWRhwLL9Ux63zbtm2jt7eXTCbDgQMH6OrqOt2y2tvby/bt2xkaGmLhwoVXpEvvsWPH2LVrF729vSxcuJDu7u73fEwhrlUOu5mWJu+5vVyXXnwiKsMwiMZzjI6nmJhMMRXOEI1kucEEbR6VqXgOJR3ByOgo8QJqOI+qp3nuxBQ/33Mcmw4Px4pLzxgYZFTImxVG66xobS6qrGaqRnK4vFb8ATsVlQ5qa5w01nlwuywz+2Jco1SrDaw14KmhomYBFathcMcObrrA8kPrpx/5RIT0eB/p8QHysQmo+VVITdLy6gEsg+OkEilS6Rwj4wnCE5PckiuOtNlxcikDqTPzFttMBZp8BT68xgquanafNFFQnTgDFTgranHVNOFtmourcT6Y5P5djqqqOCsCOCsC53Vx9nGmN/qOCywv1UHx3uZSKdKTk6TDYVLhML477sCSzmCdGEedmCCTyZDN5sjmc2Q1DXM+T250hGGXizfmzUPP5yEeg9HiUIIPBP8HrlSKnq4u3lyyGGuhmOTaAJuisCFfwOHzMeR0MGWx4HC5cfq8OL1eXBUV1La0YA4EUCxy/4UQM6uUY1TbKHb53QvcTXGCogqKczE8CmyfnkH3ZKliEjOju7v7ol1/9+/fz+bNmwmHw2zZsoV169YRCFx6kpu9e/fS09NzTtkjj5wZGpzJZHjwwQfJZDJs3bqVXbt2ccstt1y5CxJiFlMUpbimrNdGZ8dFvhff0rVVK+iEkzki2QLj4TQDPVNEIxmSsRx6Io+RLJBRDA4ORNAjOT4+aSEJJCm22O4DfurIcdQDbVYra6cUFLsJk8OE3W3F6bVS1emjrt5Dhd2Mz2KmusKBySwtPxdjcfuxuP1425aeU77oJlh0oR1yKUiOccfhfcSGT5KaHCUZmSIVjeI0ZYEkjO6nZ7+P8bQDOHF611bXFB9t3g/OSr5zfB6YrLjcTtw+L65AFTVtbTQuvAHctWj2CkyOdz6+W5xxamkk35w555R7KSazF9MO3Adk43ESY2OkJidJTU1Re8stEIuTHxvDGgmTyWbJ5PNkNI2MbpB7803ykQgHOjo4Mn8ehMMwUDzm2UsTvbpmDUMN9dgMA7ui4JheemhdVRUmv59xi4WCw4G7ogJ3dTXuujpsHnkvCCHevlL20XoU2BMMBs9emTwKHAeeCIVCRymuP3rpdQyuYzUPLb1onWo1XbLe5LJcst7st1Hz0FLi8TieGfxFsnJlcY7IQCBAIBBgeHj4sonq5SZTWrSo+GeY3W5nw4YNbN++XRJVIWaQyaxS5bNTBcytcUPnpRZIgUQyx/B4itHRJJNTaaLhDHe7TaxSDWIjSYgmUZIF1EgeVc+QQ+Fve4botei051U+mrShYZBVIW9RMOwm4p1uAg0uqlBxp3SqqpzU1bporHfj956/Zq54C6sTrK3U3NhKzSU2+zRQSMVJjR4nNXqS5NgAVi0BgQ9BfBjr8Ami8SwTkSjJ4wkMhlny6k9pfOEohgFbDt6C1aTjsoHLacbtcjB3Xj3zlnRhuGoYDoO7aS7upk5Uq/0SkYh3y+bxYPN4qOw4N631Axf/qwDmahrpyUkS4+OkpsIkw1NkYzHq/vsfoUUiNExOomezpAsFMrpOtFBATadZ8G/fBODnt97KcOO5vTm8sRib9r6KKRBgb2sLSYcDh9WK027H6XIR8PuZ19qGqSJA1uHAWVuL1SXd0YW4XpUyUd0A/Nkl6p8APluiWESZnJ2UvnXJmSt1/HQ6fcWPK4R499wuK/NcVua1+i+7bb6gMzaR4s6CRjiTZ2QowcThCPnp1lrSBZSMzmv9EY4dG2VhSuXutJUJ4OD0MXKKwdNNCs5KB60FleqEjtNrxeO3U1FV7Hrc0uanymOTyaLeBrPTg7dt6XmttQBnf4ZoFAqkRk9AchSUFFp4kLXe3SQiEZLxBMlkjv5YnIr0IRj8F5J5C988ehMACgZOi4bHobBqgYfOrlay9hp6RzTcdXPwNHbgburC7Hpnk5KJd081mXDV1OCqufBHGesvsp/x5S+jRaME+vuJjo2RCIdJxWKkEklUixXX2rVokQgZYFLTyOZyZA0DMhmqDh7E/qfFPxV/9L57ifl8mAsF7IUCdsOgUdO40WrDXBHggMWKxePG7ffjrqzCU1uDt6EBm1feI0LMFqVMVKcuU+9/G9sIcUnhcPiyLbRCiKuXxazSWOc+M0nN3Cq47fztvgToulHsejwQZ3QsydREhlgkgxbL0dFgZSSVJTqcon5KByNNnChx4CTwKW+aglnhdt3K3IwJ7Comlxm7x4rbb2PO6hrqfQ4q7Waq/Q4s0u34shSzGVfjXE5ND2UGblrzy+dvaBiQmsI21cdH3thDfLSfxMQY8UiYRCyJKTECr79IOKLxwxPLz9nVYS5w94IMcztqiSrVHBgGT1XddDI7F0/zQiwe+R1QTorVirm6mrrqai6+AjJ86qyvdU0jNT5OZnIS56/+Glp4irW9vUSjMVLpFCkgnS+gpVIkd+9Bm5xk56YPkA9boa/v9HFajp9g7RtvYAoEeGrlSqwmFafFgsNmx+Vy0lRZRXNLM2pFJWmHHV9jI2aHY6ZeCiHEe1TKRPVp4IuhUOixYDAYP7siFAq1Ulxj9dsljEfMILvdTm9vLwDDw8PU19fP2LmGh4dpb28nk8mwc+fO092LhRCzm6oq1FY6qa28/DqU0XiWweEEo2NJJsbT/EG1hYlkjtTBKMZQBiWtocYKmAYzxIDNB/sBuC9poStvIm2CglUFhwmzz4prTRW1Xju+HFR7rDQ1eqjw2WQG1bdDUcBVicVVSduc5RfdrDoZ5pd73yQxdIz4SD+JyVHiU1N4KnMQG2S87wC7jjVTHD/74un9uuefoLmpkiG9nkNjNrxVNXjrmvA2deBpWYyjphlF7tNVRTWZcNfV4a47k9quveuui25vGAa/MzVFfHiY+NgY8clJkuEw7soqAl1d5MJTWBSFlGEwlc+TBbRCnq4XXkB5Yx85i4V//+hHALDmctg1DSew0DCY7/WhVwToNZtxV1Tgra7GW1+Pt6lJ1rwVosRKmah+gWIyeiIUCv0Z8CrFVtTV03UR4JGL7SyuLe3t7Wzfvp0tW7bQ1dU1o4nq0NAQ//qv/0o4HKarq0sSVSHEeXweGz6PjYXz3zL36j3nPs3lCgxPpLhT0xmNZRh4c5LYUAo9lsNI5lETBRLxHH8fngTg43ErzVpxndK8YpAxKyS9JuJLvNR67VSFNXxOCzU1ThrqXcxp8OKwyxI+b4fJFaByya1ULrn1gvVzgc8noyQGDhIfPEZ8+CTxsWEqGlohP8zUoSHeOOKiYEwCBygu3w6/PP9NKmtrOJpu4HjEibeyEk9tA97GNrzNXXjmdKFYrKW6TPEuKIqCs7ISZ2UltRfZ5uyxZLquk4tGyYfDmGMxUmNj3Nl7nEQ8RhKFVC5LStPIDQ4SfeZnTJlMbH/fvTA0dM4x17zxBp2pNIn6Ol6rr8dpteFyOXF7vHgqK5jT0oJvzhzMVVUyK7IQV0Apl6eJhkKhlRQnTPpzwODMEjV7KS5PEytVPGJmBQKBc2bmBXj44YfPeb558+bLHudyS8289ZhCCPFeWK1mWhrOWt5n0YU7L34xpzEay3Ds0BRjQwkiU2kKkeI42ryhs6cvzGg0yy+FLeR0lXHg1AJix+0GPW1W6n125o1reJwWfJUOampdNDW6aW7y4nbKH7lvh9nlw995I/7OG8+rWwws0nUyE/3Eju8nNniU+MgA3ubFkBwg+sYIR05kSB+NUZzXcRcADy94EYu/jtdjzQwmXfgqK/DVNeGfMxdv22I8zQtRTKaSXqd4b1RVxR4IYJ8eGuTggiMKTiukUszr6yM6MkJ8fJx4OEwyGmXODcuxTU0RjseZ1DQG8jnySQOSSRgZ5ta///9oGB5mqL6el9fehEPTsBYKDD39NC6Hgxvq6gg0NJD3+Sh4PPibm2VMrRCXUNKPdYPBYC+wcXqpmnaKLap7g8Hg8VLGIYQQQrwXDquJ1ioXrVUXn5HUMAxGxlIMDMcZHkkSnkgTncrgUw3q3DAUSdN5PA+6QpQoUeAI8Ia1wO5qhXqfjbUjYHVbyOh5hscOUF3rpLXNT3ODB6uMm70sRVVx1LTgqGk5r+Vt5ceL6+Pl42FiJ94kPnCYxGg/ljk3QrSfxO5BBobjHDyZwmAQeAm7mue/LNwL/mZenmwipnvw19Tia2jB17IAX/tSbIFLjcwU1wKz00nVggVULVhwwfomYNX017lUivjgINHhYTw334I5HMYYHqIjHCFhZIkrCgP5PGlFoeaxraSiUY7O7WDPquIRLPk8jkIBJ3CHbuCvqiLs8xGx2/FVV+NrqMff3IKzsqIk1y7E1aSU66j+f8BTwWDwu9OJqSSnQgghZi1FUaivdVFfe+nlNWKJLCf7YwwOJxkbSbJI1amwwthkCjWRxBTOU2GYmBoYZgr4J1ue5x0FGh023h8xgcOExWPBHbDhr3LSPM9PS3Ox67HFJMns5Vg8F+5ifMtH4BZAyySJHd9H9OQBcpMDUHMjhE8wdXSEo+M5sociwCHgp1TbEnx60UkItLJrqBrd6sVX14ivqR1/2yI8LUtQrbJ80mxidTqpnDePynnzTpcFgIXTX+/YsYP169ejaxra5z+PNjGB+8RJKvr7iUcjJBJJkoZBUtMo7NtHeHiY1+fP58CihXDizJ/K5nyeB97Yh7O6ir66esIeN16fr5jM1tcTaG7G29iIKq39YhYpZYtqB8VW1O+W8JxCCCHEVc3rtrGkq5olXRdfj/aHP36GhjmLGRpKEFAM1qAxPpLE2BdDTRQwh/PoJ9NMEeHfdp1gn02jTlP4aMpGzqqiuMzYfVY8lXaaFlbQ2uKjwW/H55CxmJdjsrsIdN1EoOumc8rv/Vjx/8zEANFjrxPtO4ySHIfKGyBykr6BMCPxBPrrI8AeYBvt7inuX5qEQCs7T/pwVNQSaO6AhIGWvRGTTWagna1Ukwm1shJLZSVzOjuZc5HtDMOgZXKSW/v6iA4PE53uehyPx3G1tVEYHaF/bJTDZhNGNgtjY7B/P+Z8no/8x5NYq6vZv3AhEa8Hj8OB1+vFV1FBoKGB5s4FWGqqUazyfS+uDaVMVLcCj4dCofuDweC/l/C8QgghxDXNaVe5YVENNyy68JqWAJORNCf743RqBSZyBYb742TfjEAijxrNY5rIkTuW5NH9Q5yw6MzNq9yXspKxKuA0YfFacQdsNNxQTXODm3qvjRqvXWYyvgx7VRP2qiZqb3z/OeWffBD0Qo7Eyf1Ejr9JdKAXpx4FbxR9opfXD2TJaFMUJ3qCvd/7AWuaEqxbXo0eaOf1fhOBlg78HTfgbV+Kapbk4nqgKAqOqiocVVU0XGSbNkDL54n2DxDp7yM8PExmKkzVL/8S+dFRcvk8k5pGXzaLFg5DOIxn76vc919+E4Dn71hP0uvFpap4bDY8bjfVlVV0dc7HXFuLUVFxejyvEOVUykR1N/AE8EQoFHoM2A70vnWjYDD4WgljEkIIIWaFSr+DSv9ZLXJrgI+eeaoVdAbHEtyYzjOSzDLYGyF2IAqxHKQ0TJEU+sk0oWMjTJkMlmdNrE9bSFsUNLuK2WPBGbBRt6qaObVuap1WGioc2Kwyi/HFqGYr3o7leDvOXYZHBX5js056rI/wkT30PP8MDiNPvSMBiX7iR/bwzMFFwD7ge6iKjt+us3aRiwVLF5DztDCStOOfewOeOQtRzHIPrjcmi4WK9jYq2tvOqzs1DaWu66QnJpg6cYLM+DjVt9xMfnSU6rExjGyWhK4zlsuRTSSoPXoU16OPAvCf77+PjMOBK5/HrSh4bDbm+AMs7mjHUl9PyuvF39KC2W4v4RWL61Epf7L1cmam388BD72lXpmul871QgghxBVmMqs0N3hpPlWwtAE+fO42E+E0d6RyDEUz9B0OEzkSRY/mIFlAHcmgDmX50sAoeQVuS5tZnTWTNkHepqK6Ldj9VqrX1jCn0kW9w8qcapcsx3MRiqrirGvFWdfKEa2SdevXn67z6joPDR4mcuRVwicPER7qJzIxhT07Dq/sZCxmZdvJZcDjmBUNv9PA73Nw05oOahcsJ+9tQw+0YauYuaXhxNVPVVVcNTW4as7tifHBt2yXSyZJDQ1h/dVfJT86xoqjR5iKxUhoOnFdYyKfJ/vqXioeewwDeKL7AXRVxZHL4dZ1PGYzcz0eFjQ3Y66rI+x0UtXejrO6GkVREOLdKuVvj0uvMyKEEEKIsqoKOKgKOFjY6IOF569QmUjluS+VYzCc5njPBFPH4+iRLCQKqFM5CuNZ/nBsHID3Jy105U2kTJB3mDC5LTir7TStrWVOhZM6u5WGKicmmb34PIqq4p6zAPecBTS9tVLXqR47xgNvvEDk5GHCw4OEJ6eYCqfRX38CDn2No9Fqfji0AJelQKXXTEVVgIrGJhbccjuOlhvAXQuSQIhpVpcL61mTQd15gW20dJrCyAjZwUHu7OkhMhUmpuvEcznGCwVcu/cQ+Od/IWOz8f37PwwUJ4ByFwq4FYVFdjvz6hugrpZJh4PKlhb8ra2YbTK5mLi4Uq6j+p1SnUsIIYQQV57bacHttNBW5WLdvKrz6gsFnV9MZBkIpzny2hiTfXH0cBbiedTxDJPjaf5X/wgAn4xbqdPUYtdipwmLz4K3wUXLyhrmVDipd9uo9EnXwvOoKra6ebTUzTuz3u8pWgEiJ6npeYFb977C1NAwk1Nxeo5MkDsUpqPvH3FYcrwWb6cnXk9FhYfKhgYqWudT2bkCX8cKFLOs4SvOZ3I4MLW1YWtrY926defVG7qONjlJsr+fDxw4QGR8gkgsSlzXiWsa8ddfZ/xb32YqEOCpe+6G559HMYzTrbKrUGitr0OrqyPs8VDZ1kZlR4ckstc56Y8jhBBCiCvCbFZp8Dto8DtY03b+uo+pbIFPxzL0T6U4tnuM6FASPZJFSRYw9xc4PJTkKwcHANgctWFHIWNTwGXG7rfhb3HTvqy6mMh6bDjtklSdw2SGyg4qb+2g8tZPnS42dJ3kwEFcuRGYPIL1pVcwHxjheH+U/ceTsOsICj/g8wt3Y6qZy/5EM1H8VDS3Uzn3BgILbsTs8pbxwsTVTlFVzNXV+KqrWbVixQW30VMpEn19+A4dJjwyTDQcJqbpxPQchcOHmfzBDxioq2PXrevglVdQDANnNovHMFhnNlPb2Eiupoakz0dVx1z8Lc2yHM8sV5ZENRQKXahXwZRMpCSEEELMXk6bmY5qNx3VbtZ3nj+D8VQ8y6/EMgyEUxx/foT4RAYjmsMUK2CazPNCf5Q/3nsCxYDfjtrJmiBvVzG5LTgqbNTO8zNvUSXNFU4qXVaZsXiaoqq4mxcCC2HunSy88aHT63xmJgaY7HmRRP8hTFU3wMQR+vaP0DMeg939wLMoGNR7cnzyzkqo6WIwV4WtvovAwrWypI5421SnE++CBSxesOCC9UY+T0NfH00HDzI1NMTUxATRgkYsnyf7yitMfOe7HJk3l70rV8KuXaiahjuXw6Mo3GG3E5gzh2RlFYWKCqrmduCuq5OfAde4K56ohkKhNuAo8NVgMPjFC9T7KM74a5xVrABGKBTqCAaDJ650TOLqsGXLFrq7u6mvf/uTO2zbto2enh7sb5lZrr29ne5uGfYshBCzSYXHRoXHxuJGHyw+93eFVtAZiaTZnMjSN5Zg8MUx9KlscfmdiSym0SzfOz7Fiz8/jEuHX4vbSdsUmE5iK2qdtHZV0NlRQY3HhqrKGE0oLq/TeNsD55S97xdhQzJC+ODLTB15jcm+XtT0JISPw9Gn+OmRZUzlnKiKToVTp6rSTev8dhbdvgFqF4K3UcbAindMsVjwdXTg6+i4YL2eyVBz9Cithw8zNTJCeCpMVNOIFTQyP32KsakpXl+2lINdXfDM06fHyHpVlXs9HuzNLSSrqzDX1VHd2SmzFl8DZqJF9ZHp/798me2+RnEFbCgmql8BvgD8xgzEJK5hK1asYNOmTeUOQwghRBmZzCqNVS4aq1ysbq2ANc3n1KfSeTZOphhMZDjRH2Ny9wRGJIdpeg3ZxOEEX90zwH6rxhxM3JeyYrjN2PxW/DVOGpo8dC6spKXOg0mSWCwuPzUr76Zm5d3nVhSyfOCN55g48ArjJ44yMTLOwEgCU/QZFg0+hmHAP/beiMdpoarGT1VzK1XzllG99FaZhVi8J6rdTuXixVQuXnzBei0eJ3DwIPOPHWNqdJRIJEJM00jn88S2PUE0neaFtTfR19KCYhi4slm8BlQ57Nze3IK1pZlMZSWetjbsPl+Jr05cyEwkqhuA7cFgMHaJbQzg8WAw+MypglAo9ACwegbiEWWwa9cuUqkUGzduLHcoQgghrgNOh4XOJh+d+GBBLWw8M4tpLleg92SMRZkc/cksA8ci6G9GURMFzFN5Mr0pepngz1wHGbEbrLQ5WJJSsfqt+Ksd1DZ6aG/1M6/dJ+vGmm1Ur9hA9YoNdJ1VrCcmYPIwhYHXafvxTsbHwhw4OkXucBS2v86NlX/CurkaucouXhr0U9U6j6qulVR0rcVkd5XtcsTsYfJ4qFu9mrrV56cThmFQGB/H/uabDPceZ2pinHChQDRfYGRyirFvfRuAp++6k4nqahzZLF5dx2e10RAIsGJBJ5bmFpT6OuyVlaW+tOvWTPy0bQe2XWabC31U2YssYSOEEEKIK8xqNbNgXgWnR8bddGa+XK2gc2IwxrHeKL9uMeiLZ5g6HEGZTGGOpsidSNP/yhT9nOSXfFmclTaWqzaasgreage1DW5aW3zMa/fjdlnLcn1XA9VdBe4qLC03s+GWXweKkzjFT+xjYv8L+PQxyJ8k0nuI3W+k0F8fge8/h8r/osKlc/uKKlqXLSfn7yTnn4t7zoXHMQrxbiiKgqWmhrY776TtAjPlaJEIuf5+bn7jDcaGhpjSNKK5HP2FPIkDPdRu3QrAk5s+QMFiwatp+MwWFF3jjYEB5i1dirW1FZNXJh27kmYiUY1cqjIYDEaBC41sjgD+Kx+OKLVt27bR29tLJpPhwIEDdHV1nW5Z7e3tZfv27QwNDbFw4cL33KU3k8nw5JNP0tvbC3BFjimEEOL6YTKrdLT46Wjxnyl8X/E/XdcZHElytDfCQH+cXwionAynUQ7GMI0V0PozDO0NM0Q/OzHY1qzQUutigWamWjVRP8fD3PYAc9v8WK7D9WIVVcXbvgxv+7LTZTXAw5kkUwdeYOLAHiZOHGFiZAxbuAeefpITsSqeHOzCZSlQE7BS01hHzdyFtN5yL9a6Thn7KmaEye/H4fezYsmS8+oK8TiFoSFyfX2s2L+fqXCEiJZmtFAgabNi/OjHWP7kT9EVhR986IN4DAO/1UaF309VQz1zFiygeuFCVFlq5x2biUS1l2L33/MmUrqMB4C9Vz6c2ePrX//6eWWLFi1izZo15HI5vvGNb5xXf8MNN7B8+XKSySSPP/74efWrV69m8eLFRKNRvvvd76JpGqazpvq++eab6ezsfEdxdnd3X7Tr7/79+9m8eTPhcJgtW7awbt06AoHAJY+3d+9eenp6zil75JHiUOitW7eycuVKuru7yWQypxNWIYQQ4r1SVZU5DR7mNHguWD86nuRwb4SBvhjj4ylWVKgcn0gycSSOP6vSt3uKPk7yUwyidoX+FV7aq1w05RTqAw7mzw3QVO8u8VWVn8nuonr5BqqXbzi3IhOlZv9z3PHSzxk7eYLR8RgnXh3EeHWIX937ZaxeG0eVpQxkq6md20nNopsILLoZ1Xz9tmSLmWf2eDB3dmLv7GTDW/6ufeYnP2HlL/wC6tAQiWO9tPT3E8lm6M/nOByPwaEYS7ZtY+GBgxSam3nhhhsIOBxUVlZQ1dRE7fz5VM2fj8kiS21dyEwkqluBfwiFQn8WDAa/9HZ2CIVCXwHaKE6oJGaxlStXAhAIBAgEAgwPD182Ub3YZEqnktJbbrkFALvdzsKFC8/bTgghhJgJtdUuaqtdcGPjOeW6rjM0muTw0TD9fTEmh1No6RwnJ5M8e3icj4ctxDSVQ0BOMUhYDH7+/PN4VlfRXu2iFhNzW3xUBa6zpV/sPvwrP8CKlR84XZRPRph84+f4zPfDyD7Gn+/hteOjaPvH4fs7MSs61V74xKYFqA3LSLrasbUsx+y4/j4AEKWn2mz4FiyABQvw3HknnzirLjU1xdj+HsxLl2IbGmbs5Elyhs7hfI785CRMTsLrr3PjK7uZD6Q72jlSW0t1TS217W3UL1mCu+b8ZbyuJ1c8UQ0Gg1tDodBDwCOhUMgP/MHFJlYKhUJe4FHgIWBPMBj8xysdz2zymc985qJ1Vqv1kvUul+uS9T6fj8985jPE43E8ngt/cnwlnJ2UvnXJmXfq7SS5QgghRKmpqkpTvYem+vN/n2q6wdHjEY4eCzM0ECc1mkIbTzIVyfD1Z45gGPAbUTt7DIWUapBzmDD7LfjbvcxbWUNHtZtGnwPzddKV2OLyU7f2g6efr90Ea7Jppnp2MfbmS4z1HiYVnkDd9zjs+T/8pG8RJ1N+Kl0GNdVealrbqF+8mvrV94BNkldROs6KClpvXXf6eTWwiOIHWfHBQUYPHGD85EnqnE6sfX30T06yz+dDHxyAwQF47jnsuRwbxydonNNEqmkOqapK6hctItDWdl2sETtTU9fdCTwDfA54KBQKPUaxW+/u6fpVwEpgM8WJlfZS7C4sxNtWX1/Pnj17Lr+hEEIIcZUwqQqdHQE6O8580Lpjxw7Wr1/PV/MafZNJ9r08wuhgAn08DdEcpuEML0wk+PK+PswG/GbUTtqqYHjNuCodVDe6mdtVwcL5lbhts39WYpPNcbrr8KJThboO4ePc8PMfUH1gH2NDo/T2R9l//E2aXtrJx7f/KlTOZefkXJy1LdQtuYma5XdhdsnkN6K0VFXFN2cOvjlzmH9W+Rzg1lyOiYMHGTl0mLGBfiampnAkE0T/40n2z2nijWXLYO9ezIUCvnyegMXKHU1NeOfNRW9qwtXainkWjYWdkZ9m0xMmrQyFQpsptph+juKSNKecGgnfCzwSDAa/MxNxiPKx2+2nu+YODw9TX3/l105rb28Hikvh3HLLLWQyGZ577jlZEkcIIcQ1yW4xMb/Oy/wPnp88TcaynAgnOdIfY+iFUYypDGq0gDoRI3wozqPPn2SPXaPDaefOuAlrwIa/zklTs5f58wK0zfHO7hYYVYXKDtrv/zzt9xeLDF0n0ddDrv910PrRh17jwMthYgcSsGM/Kl+j2mOwbFEDS9bfCY0rMSo6UMwyXlCUh8lqpXbpUmqXLj2n3DAM6vv76dq3j9ETJ5gYn2Aqn2cknyPyN39DzDDYs2IFx+Z24MlmCZhMVHq91NTVs2z1Kmzt7aiOa28owYx+7BYMBrcCW0Oh0F0Ul61ZOV21B+gNBoNPz+T5Rfm0t7ezfft2tmzZQldX14wkqgCbN29m27Zt7Ny5EyiOZxVCCCFmm0qvjUqvjZUtFbCu9XR5Kp3n0NEwLaksd6ay9PdGUN6MY+pPketL0/vyJL0c58fePMYcJ11OB80pimvDdvhYOL8Sp2N2JmaKquJpXQyti4HikhOf/QWIn9zPyJ6nGTn0BiP9I2j9u+H7T5DIW/in3tXU+U3UNdVS17mEupV34mlZjDKbk3xx1VMUBW9zM97m5nPWLwbQ/vAPyfX2kn/9DbwD/Uzm8kQKBfpSKRz738T3leIUQP5PfoL6YLD0wb8HJekfMp2QPg18rRTnE+UXCAROz8x7ysMPP3zO882bN1/2ON3dl15a12638+CDD77zAIUQQohZwOmwsHxJDctPFdxR/E/XdfqHEhw8MsXAyRirHXAkkWboeIzWCRjfH2OcQV7AIGlRGFzsornVR6vDRpPTzuIFlXjcs3M2XU/LIjwti5h3qkDXYfIoxoHnWLT9Z4wMT7Jn3zD6G6OwbTv3tQ/TtXQ+Cf8iJpRG6lZtxF7VVM5LEOI0k8eDY9kyli5bxtntsPl0msjhw9ju2kC29xi2jrlli/Hdmv0DGYQQQgghrjOqqtLS5KWl6fxuxLFElp7DUxw/FmFsIIE+keZoLM2Pnp3kxqSJm7MW9mCQNCsU3CYclXaabq1jfqOP9ioX3tnWAquqUD0fT/V87rrtVwEopBOMv/o0I2+8SKO7FiZep/fFPTw1Mh++/h0CjgJ1NR7q2jtYeNf7sbeuBst7myRSiCvJ4nBQvWwZLFt2+Y2vUpKoCiGEEEJcR7xuGzetqOemFecOy8kVdA4em+JQzyTD/XG08TRqLI/Wm+ALE2+CAvemLLRrJvIuM7ZKG5UNLlrb/axYXofPOXsSWLPDTf3NH6L+5g+dLuucGsL3yk8Z2b+H4b5++obiHDj5Jl0DXwOrQg/LGTUaaFx4Aw03vQ/3nAVlvAIhrn2SqAohhBBCCKxmlaWdVSztrDqnPJ/X+GgkzdGxBEdeHiV2Io4SzWM+niR1PMVzL4zymSffoNpjY0POSoXdQkW9izktPhYvrKKh1lWmK7qybBUNtNzzy7Tc88tAcYKbZP8BHMljMLCbyad388aJcfb2PA1PPI3XVqA6YMZwHEZpWQs1C0E1lfcihLiGSKIqhBBCCCEuymIx0V7tpr3azd2L6k6XawWdoycjHB2IUYvG0bEE1lfCmMdSZE6mOfLiBEc4xkm7weBiF/NrPbQkoXWOjyWLKqn0X3uzkJ5NURTczQuBhdC1iVs3ws2ZJGN7tzP06nMMHTtGITGB8qPfB+A7A8vQbT4aW5poWLqa+hvvwxaou/RJhLiOSaIqhBBCCCHeMZNZpbOjgs6OijOF3cWJnI73xzhwaIqBE1GcuTyJbJ5tL/ezedzCfkbZDyRNkPeYsM710LGihnk1btoCTtyua3cSJ5PddbrL8Epgx89+Bje0Q/9LVH73Sfr6JnhxTx/Gnn74+ndY3pjjzjuXQPNNxFzz8LQtkxmGhZgmiepVyjAMFEW5/IbiHTEM4/IbCSGEEOJdU1WVjhY/HS3+c8o1TefoiQgHDk4xeDKKNpJGiebY3TPB/z46jFuHh2J2khYF3WPGVeOgrtnDoqXVdLYFsJiuwQROUSDQAoEW1i/9GADZ8AjDL/2IoX2vUKkNwBuPk3rxX/jakbW4LAUaqh00zO2g8YZ11KzciMk+O7pOC/FOSaJ6FbJYLKTTaZxOZ7lDmXXS6TQWy+yZ7EEIIYS4VphMF2iBBfKazsnJJD29EU68NII+lkaNFVCnYkwcjPP7O09w1KFzg8fFipSKt9ZJQ4uXBZ2VzG/zYzJfWwmsLVBH672fofXezxQLdA3Tyb3ctf17DB05zNBInCNDB+HnB9nY+N9YurSNVM0aJixt1K/dhMXtL2v8QpSKJKpXoZqaGgYHB2lsbMThcEjL6hVgGAbpdJrBwUFqa2vLHY4QQgghpllMKnNrPMyt8cBNc06XJ1J53jw4QV02x5FImuFDYdT+NIxFGdoXZegH/fxEMdjbYaWx3cd8l4M5divLFtdQXXkNjX9VTdjaVnPDZ1dzw3RRov8gwy//mDoGYOJlep/6Bj8Zmof6f75JnU9hTmsjTctvounWj2B2+csYvBAzRxLVq5DXW1zzbGhoiHw+X9JzZzIZ7PbZuQ6YxWKhtrb2/2fvvuPkquv9j7+m7Mxs7yXZ1E3vHQihBEhApChIAEXsBr167RrRnx6PXgtYruK1EGyIohiKgNSEkN6z6T3ZTdve++y08/tjJiGBTdgyyexu3s/HY5idc77fM5+ZL7OZz37b6fdXREREeq+khLizt9C5OXxXU9/G7n01FB+uo6qkmVCCxSu7yzlaa3GVN44DHKHFYeFPdpKQE8/wawYyYXAqw7MScfaR4cNJg8cy6oztbUbVlZGw9gVObt/IyWNlbNpewsbtz/KZtd/COXQiJ91T8KWPIX/O7VqgSfoNJaq9VEpKSkwSqhUrVjBt2rSL/rwiIiIinZGZFs+1swdx7exBp49ZlsXxsiZ27qziRHEDwbJW7A0+rENNfLliB5YN5nnjKMCJPc1N2sAEhg5PY9LELAYNSI7hq+kcd/oACm59gIJbHwDA11BFxaaXSLTNgmPrKFy5jkNNB7A98Tw5ySEGDcljyNRZFMz/IMSnxzh6ke5RoioiIiIifZrNZmPowBSGDjz7j/ze9gA317ayv7yRI+vKaT/egqPSS7C8naLCOgqfO8JzA2FsXjKTfQ4GpMczclQGk8ZnkZTQe9e0cKVmM3j+x04/vvnuOqZueJET29ZxsugE2/dWUHLkKQoKvwW5EylsG0vy0Enkz3kfCXnDYha3SFcoURURERGRfsnjdjJuQArjBqTAtLd6YEvKm9m9t5pjFc1c5wyyv7yJ9v1NNAYbKVxZwRYsml02fAM95M3OZfzAFEamJTAgu3euwBuXnM6Q+R9hyPyPABBoaaTlwGpo2kOoeDXrV5/Au7Ec/rWUrMQAQ4bkMnrOXPKv/gB4NCVKeiclqiIiIiJyScnPSyI/L+msYz5fgL2H6jhwoIayY01YFa2U1bXx51f2Y7Pgiw0e/A7wRbbOGTgslYlTshk7PB27vXctfOlMTCF1+i3ALdiv/QafubeF8k2vcHLrKo4fLmLn/iriq39O/rqv0p4zgy2NBQyZdS0DZt+OMz7pXa8vcjEoURURERGRS57L5WTqhGymTsg+63hdi489x+vZvboEb0kL9nofjoNNVB1s5vurjrIzxWJiVhIzm+xkD05m5OgMpk7MJjnJFaNX8k4OTyL519xF/jV3cTnhHtfg8Y1Qup7KravZWHiSDYVP4lz8NwZlORgyeiTjbryTpNFzwN43FqCS/keJqoiIiIjIOaQnurhqXA5Xjcs5fay51c+uvdVkNLcxtrGN40fqcZ5so/WEl53rqtjOfppdNo7m+dlvO8KYzERGZSb2moWbnIkpOMfNh3HzGXwD/Fd1CSfXPMfxbZs4dqySVWsPMaz0bpLSPZQkz6baNYKhV99K6qhZ2JS4ykWiRFVEREREpAuSEuKYPXMAs884FgqFOFhUz+491ZQcbSBU3saRlnZee2U/430Obml10Wq3wkOHc+PJL0hl5uUDGZaXhM0W26HDnqx8Rr7/84x8f/hx8/F9JNbugOKVHFqxi63ljbB0GymuAEMGpTFk8nTG3vIRbCnaCkcuHCWq3WSa5hLgKaAQqDUMoz62EYmIiIhIrNjtdsaOzGDsyIzTx+asWMHUy66kcG8VB7dVEihpwVbnw36wicqDzdy67jDOxDiujU9gmC2OgcNTmTgxm3Ej03E4Y9dzmTRkHAwZB1Pv5dr3hZi8bz3H177E8X17OXSsnuMnXmfcgR9C7kT2MZWEEZeTf/Wdmt8qUXXJJqqmaaYBC4GiyKECwzAe7sIl7orcTl2vHlhkGMbiaMUoIiIiIn1bWoKL62fmc/3M/NPHmlv9bN9VybcIsLukkfbCGhzV7dQcaWHlslKW2ixakhxY12QzcVAqY9ISGDU4jbgYJK82u52MCXPImDCHqUAo4KN5/xqo2451eDmrlh2kecUxnH/6B0NyXAybMJ7hc+8gbcxlFz1W6V8u2UQVWAI8YBhGEYBpmgWmaS41DGN+J+svAhYDBUD9qeuIiIiIiJxPUkIcV12ez1WnDtwJbd4AO/ZWcWBvDRXHm2hraufpjcdpXxvinmYXAwJ2WhLsuLI95A5NYfzELKZOyMbpuLjJq93pImXi9cD12K7+Ch+/s5oTK5dwdMtajh6romj5LqZte5Xrx1mECm6g2BrJ4GsX4ErNuqhxSt93SSaqpmkuBIrOTC4NwygyTbPeNM27DMN4ujPXiQz3LbxAYYqIiIjIJSLe4+SK6QO4YvqA08fMYIgjVS1sXnWSsqJ6qPISd7yVpmNt/GNdKfelBRg7IIXZrQ7y8hIZMy6LKROySIiPu2hxu1KzGHH7Zxlx+2cBqNu3AfvJjVC1jvL1z/PvI2OxP/kigzLsDBs7imFX3ULW1Ou1KJO8q0syUQUWEO5RfbvNwANApxJVEREREZELxemwMyYvmTF3jzt9zB8IsedADTlljWS0t7P7RD1xRS20HGmlcG0Vm7Fo9tgIFiQx7LJcJgxIZnRWEkmJF2e7nPRxV8C4K4AvktPWzII1z1K8cQXHikpZtfYQq9b+kgVjv86QaVfSOuBKbMOvJj5nyEWJTfqWSzVRnQc81MHxImDmRY5FRERERKRT4pz2d+z3GgyEOFBUx67dVZQUNWJVtrKrtIE//ruK1KCNTzW5aXbbsKW7yRycyOjxWcyYkktSwoXteXXGJzFk/kcYMv8jADQd28PRN59moDsD9r/I1tfXsLnmSfJSLQrGjqDg2tvInjZPva0CXLqJKkBtB8fqgbTOXsA0zbvOeDgL+LFW/xURERGRi8nhtDN+dCbjR2eePmZZFiX1bWw/UM3h9RWEKlpxVXrxlbeze3MtP0najX1IItMykhlpORg/IZupE7NwuS5cepA8dAKTPjYh/CAYYMyWl3GsfJniQ8dYu7GYtRsfITP+Z3z0AxOwjbkZa9hV2FwJFywe6d0uuUQ1strvu5bpRMI5H1hwqpxpmsuArcCIHoYoIiIiItIjNpuNQekJDLpiCFwRHlobCoU4erKRbdsruc7ys7OqmcM7qxjQ6GDz2irWYdGSYMedE8/wawYwbVQmwzITsdsvwD6vDic5l99OzuW3cyXQcvIARcv+gffEbmw7n4Ktf+LJo9NJSEmhYPJkCubdS/KwCdGPQ3otm2VZsY7hojJNswA4AswwDKPwbefmAUuBEd1ZxTeyt2qRYRiLznF+IeEtcfB4PDMuv/zyrj7FBdfc3ExSkvbA6q/Uvv2X2rZ/U/v2b2rf/qsvtG0wFKK8CkrLQrRUW9ibbCS32/htqhe/Deb4nIy2HFjJkJINgwbayUoP7xt7odiDPpLrdnJiwzoqKppp9IXn12Ym+BgxKoeEidfQlDwSbLEdItwX2re3W7ly5VbDMDqcennJ9aieIeM85zoaFtwZRYT3Vu0wUY3ssboYYPHixdbcuXO7+TQXzooVK+iNcUl0qH37L7Vt/6b27d/Uvv1XX21bnz/Ie6pb2HmynsNry7EdbSGpMoSj0kbVHjjstDg8I4HJg9MY4/EweWQG+XnRTthuZNpdYIVC1O5axZEV/6Z43yGyqjcxrvBFGpwDWd88mYKZsxk674O403Kj/Pzvrq+2b2+ycuXKc57rk4mqaZpHulil3jCMGZGfTyWhaecq3IN5pkcI76sqIiIiItInueIcjBuQwrgBKTArPGy4udVP4c4KDuytIVDdyvG6Nt48WMX9jW6KgnaaHRBMd5KWn8SoiVlcMWsAyZ6eL9Zks9vJnDKXzClzuQygtRYOL6N21fMc2VvDnuJl2J9+ncFZDkZOmcy42z+JO1dfx/uDPpmoGobR7XmghmHUm6ZZT8c9qgWEF1Q6r0iivKiz+62KiIiIiPRlSQlxXHPFIK65YtDpY01ePxs2lnJ4Xw3Bky046v1Y1fU8v7eahS/voiArkRva4sjNT2LcxBxmTMnG3dPFmhIyYPLdDJ98N59d6KV0zbMcWbuUI4dLWb5sO6OPXQZDp1CRcTXOMfPInHhVD1+5xEqfTFSjYAsd96imAcs6eY2O5rCOAAo7OC4iIiIi0q8ke+KYf+1Q5l879PSx0opmRh6vZ1RDG3uO1uE60oT3ZDvbNtawmb00J9iJG5/KhMsGMHVwKgNSPd2e72p3eRh0/YcYdP2HuCYUovHAehKq1sH+l1j10lKO/2sL6fEBRo4exMhrb2HA5bdhc16q6U/fc6m21BLCq/a+3Xzg0U7Uf/TtCzFF3EXH+7OKiIiIiPR7A3OTGJibxE2Rx6FQiEPF9WzbXsnJw/VQ0caKA1X89nAZOQEbC1rd+NPiSBucxMixmVw2I4+0FHeXn9dmt5M6bg6MmwPXfJ333LiLI689yeGdu9i6o5TNO/5IQeqvuOP2aTD2FkJD5mB3xUf1tUt0XZKJqmEYi03TfMA0zYJTq/uapjk9cu6s4bymadYBtW8bbrzMNM2FkcWRTpX7BuEVfxcjIiIiIiLY7XbGjMhgzIi3Zt35AiH2lTWydWclFZsqsdf6sHbUc2hHPQeeOsy6IU6Gjc1gckYiYzOTmDwuC4eza72uycMmMfWBHzMV8FafpPj1vxFXsQ12/JP2jY/zxyOXMWRgIiNnzmb4jR/GnZEX3RcuPXZJJqoRNwAPnrEw0wjDMDrqZd3C2+atGoZRaJompmme6j1NA46co76IiIiIiES4nHamDE5jyuA0uGU0AGUVLWwuLKf4QC3u+CAv7SzlaD3UeuNYYbNoTXKQOCCBYWMymHNVPtmpne8N9WQNYtyHvhl+4G/Dv/0lRj73NEeO1XPguRXY/72cYTlxzLnlRnKuuQ/i06L+mqXrLtlENbKyb4fbyLytXIfJZ2Tor+ajioiIiIj00IDcRG6/eQTcHB7EGApZ7Dlcy/at5ZQVNWCr8uI42ETxwSa+vOoAgzLjuTYugSHJHsZOyGLm1FwS4juxynBcPEmz7uLGWXcRCvgoW/sch1a+wsFD5ThW/AA2GpSkX0Nt8hRG3PwxEnKHvusl5cK4ZBNVERERERHpnex2G5NGZzJpdObpY03NPrbuqeKbXi/bT9QT3FqPv62VXVtq2fb4AVoS7LiHJjHhhsFMH5pGTrLn/M/hdJF/7T3kX3sP1waD2Mq2wd5/c+ClVWwr34ztlU0MzrIzevo0Rr334yQMGH6hX7acQYmqiIiIiIj0eslJLuZens/cUwc+DMXHG9hSWM7xg3VY5W0cPVLPr8sqAfiIN574FBc5w5OZMCWH6ROzcZ1jexybwwGDZsKgmVw3L8SELa9waNlzHDxwgmWvF7LlzbV8Yl4Ctgnvx19wI3GZgy/Ka76UKVEVEREREZE+afiQVIYPST392OsP8LHSJrYW1VK9rARndTveSh9bN9awwbaXk/kuBlyWw7QhaUzMTCYnO+Ed17TZ7eRedgu5l93CnFCI6m3LaNn1GramFYT+8xX+cOhy0lNcpOXn0lSQR/KQsRfxFV86lKiKiIiIiEi/4IlzMmNoOjOGpsN1I05vj1NYWMHJw/XUWD6eW3GEdD98vMlDowvsWW7yRqQyZWouk8ZknrXCsM1uJ3vGjWTPuBEsi8CJbUx96jEO7itmz+4K9nz9qwzKsDHnpmsZdOMnISHjPNFJVyhRFRERERGRfqmj7XFa2gNs3lfF7jWlhE424yrz0lzaztrVlXwnI0jWqFRmZCUzKjGey2cOeGtfV5sN15DpzP7675gNrHjy/3CX7GH/niJCa38NO39CTc5cyhKnM/K9n8CTOSA2L7qfUKIqIiIiIiKXjES3k7lTBzB3ajiRDAZD7D5Qw45tFUx0BNhS2kDrjjps3jgO/usITR47rrx4ho5J56q5gxmQHhkuPHAisz/0ea4IhaB8J+x5lgOvLGd9yXqWvbSWYXkuxs6+mhE3f5y4FPW0dpUSVRERERERuWQ5HHamjM9myvjs08eqatrYsKWUor21WCUtOI+2UHq0has2HGZwVgLXxieS4A2QkVPFxLGZ2AdOhYFTmX29wfANL3Bg2b85cKiCI8++SeILr7Pw/YOxT74Lq+A6bHHu2L3YPkSJqoiIiIiIyBmyM+O57aYRcFN4X1dve4Ctuyv5ZouXTUdrad9aT067ndWP7OJ1u4UvLY7MUalcMW8o4694HwPm3MG1AT8lK/9Fw65l2IuWYe1ewj+OTycjL5dx19/C4Ovuxe7sxN6vlyglqiIiIiIiIufhcTuZM2Mgc4BPX1NA6MMh/v6vFQQDOTQersde7WPf1kp+fOAk8XEO7g7Gk5GTwKgJs5n98Q9AkoPAgWVkPP5nDh1tYM8fniLp8b8zZmw+k9/3ETImXRvrl9jrKFEVERERERHpArvdzuA8O3PnTjx9rLS2lXkn69lypBbXyirs+xsp3t/EkWeKafLYsY/NZvKHf8UHsm00rfwb+9atZtuuMvJqPknG6DzaRr0f/4ibSBk+KYavrPdQoioiIiIiItJDAzMSGJiRwK2TB8IdUFvfxvrNZRzeU4NV0sL6IzX8/mgF6UEb97ZNx8qeTf74duyZ+wnVPsOuf/+Z1VUrGJQB4y6bxejbP40nc2CsX1bMKFEVERERERGJsoy0eG6ZXwDzCwDwBULsKW1g0/ZyqjdU4a7w0lhmYyljecH+LdqGVjAhfRl1x0tZ+upmlr+2kRH5Hm791KewjZ4PjktrPqsSVRERERERkQvM5bQzbUg604akw+3jCIVC7Npfw7bCChoP17MylMcf/R9gVpqdOa01xAW3Ul9XQsUTBllpX2ZX3FwGXnUnOTNvxGazxfrlXHBKVEVERERERC4yu/3sbXEeBErr21i19gTHtqXSVjEQ/PBMLdhqGvA3LCaw4dekxT/ChBkTmHTXZ0kcMDy2L+ICUqIqIiIiIiLSCwxMi+feW0bDLaMBOF7ayPoNpRQdS2K775NMOvEfnHUB1q7Zy9o1X2DQgNEMmn0VU957E0nJCTGOPrqUqIqIiIiIiPRCQwamMOTOlMijy6hpvo0VK45RtmEzoZKdVLdeSfWbyRS98X3a3Uewpt3G4OHXMntmHqnJ7pjG3lNKVEVERERERPqAzCQ3H7h1NNw6GriPqsoGdr/6OtVbT1BT0ULwtX+x17Gc/Y+Px5syFveQXEZMyGTu3CGkxLtiHX6XKFEVERERERHpg7JzUrnuIwvgIwtoKy9m19O/Y9eW/dS3rSLRvx2772McLqrljbp6fvWhmbEOt0uUqIqIiIiIiPRx8XnDuezzD3OZZVFd+DreHS+QW/E5mlucEJgJPBHrELtEiaqIiIiIiEh/YbORNeMmmHETBNpJP/gqJGTFOqouU6IqIiIiIiLSHzndMP59sY6iW+yxDkBERERERETkTEpURUREREREpFdRoioiIiIiIiK9ihJVERERERER6VWUqIqIiIiIiEivokRVREREREREehUlqiIiIiIiItKrKFEVERERERGRXkWJqoiIiIiIiPQqNsuyYh3DJck0zSrgWKzj6EAWUB3rIOSCUfv2X2rb/k3t27+pffsvtW3/pvbtuaGGYWR3eMayLN10O3373ve+tyXWMeim9tVNbaub2vdSuql9++9Nbdu/b2rfC3vT0F8RERERERHpVZSoioiIiIiISK+iRFXebnGsA5ALSu3bf6lt+ze1b/+m9u2/1Lb9m9r3AtJiSiIiIiIiItKrqEdVREREREREehUlqiIiIiIiItKrOGMdgFx4pmmmAQuBosihAsMwHr5Y9eXCikL7TgfuAdKAgsh1FhmGUR/VQKXLov3ZM01zIVBkGMayKIQnPRSt9jVN86EzHtYAi/X5jb0o/dv74BmH0oCHDMMo6rCCXFSR36cLDMOY38V6aeg7Va/Xg/bVd6ooUo/qpWEJ8LRhGE8bhvE08LRpmksvYn25sLrdPpFfqDMNw1hkGMYDkV/I9UBx5B9Tia2offYi7floNIOTHutR+5qmmRYp/2jkM7wImAU89C5V5eLoye/mNMJJ6aIz2nYR8Kh+N8eWaZqPRv44NAPI6MYl9J2qF+tJ++o7VfQpUe3nzuhBOf0X2MjP9aZp3nWh68uFFYX2mWcYxlkr1kW+ENUCj0U1WOmSC/DZu5vwP5jSC0Spfd/gnT1sTxH+IiwxFIX2fZC3/cEh0iOziHBvnMRIJAFZBGztal19p+r9etK+6DtV1ClR7f8W0PGHbTPwwEWoLxdWT9vnwXP84/g0MK8ngUmPRe2zZ5rmPEDDfXuXHrVvpE3T3j6MO9JLo7aOvZ5+fgvOcbweGNHNmCT29J2qf9N3qihTotr/zeOteRBnKgJmXoT6cmH1tH1q6XhoSw3h+RUSO9H87KVpXluv09P2XYT++NCb9bR9i+h4qP481GPel+k7Vf+m71RRpsWULg21HRyrp/Mfmp7Wlwur2+1jGMa5/jI/i47/MZWLq8efPdM0F759KJL0Gj1p33nAokjPakHkWgVoIaXepCe/mxeZpllnmuYRYL5hGEWmaRbQQS+69Dn6TtVP6TtV9KlHtR/rzMTt85XpaX25sC5w+8xDC+/ETLTaNrKww5YohCRRFMXfzZlArWEYiyOLsiwGtur3cmxF8XfzcMIJzBHTNB9Fq8P2afpOdUnTd6puUqLav3VmtbLzlelpfbmwLkj7mKb5DcKLPegLUexEq21nGoZR2NNgJOqi9bu54Mz2jfSkLkOr/sZaVD6/kfZ8FHiY8AJKj0Z6VaVv0neqS5C+U/WMEtVLw/l+8XU0BCXa9eXCilr7RHrgHgBu6FFEEi3dblsN+e0Tutu+p85t7uDcVsIrPEvs9eTzm2aa5qOR3vJFhLfKgHDv6vSoRSixoO9Ulwh9p+o5Jar926lfeGnnKvAuc5l6Wl8urAvRPg8Rng/V1XoSXT1q20ivi+bD9F49at8zznXUxrVAmoYQxlQ0fjcvIbxg1qnyhZH5b0+jxZT6Kn2nuvToO1UPKVHtxyIfjHo6/utdAe+yp2JP68uFFe32MU1zCfCAVoeNvSi07TxgQWTj8tM3wl+QFkUea8++GInSZ7foHPXPfA6JgZ62b+SPDPUdtaFhGAsiZTQEuI/Rd6pLi75TRYdW/e3/ttDxX+/S6NzWBj2tLxdWVNrHNM2HgB+f+QvVNM3pmt8YU91u23MN+Y1sNv+QVg3tFXr62S2k4/00M9AX3t6gJ+17ahXnc9Hnt+/Sd6pLgL5TRY96VPu/JYSXxX67+cBTF6G+XFg9bp9I8vJUB79AtTl1bOmz17/1tH1/DHTUKz6f8Oq/Elvdbt/I7+Lz7alZoF6aPku/1/s5faeKLiWq/VykZ6XgzGFCpxZiiGxnwBnHT+3Z1q36cvH1tH0jezCOADJM05wXud0V+UXb0T+mcpH0tG3PIy1qQUq3ReF3cyFQdOYQ7kj96ZHFdySGovD5PTVcn7eVfQit6txbpJ3vpL5T9Xlp5zup71QXh4b+XhpuAB484wM1wjCM+R2U20LHQ8Y6W19io1vtG5kHtTTy8BsdlFevTOz19LMLQOQL76kemsdM07wHWKRemZjrUfsahjHfNM2HTNOcReRL1Xk2nJeLr9vtaxjG4siX3Effdu5RfW5j69SetoR/p6aZprmU8JzxR9/Wi6bvVH1Qd9tX36kuDJtlWbGOQUREREREROQ0Df0VERERERGRXkWJqoiIiIiIiPQqSlRFRERERESkV1GiKiIiIiIiIr2KElURERERERHpVZSoioiIiIiISK+iRFVERERERER6FSWqIiIiIiIi0qsoURUREREREZFeRYmqiIiIiIiI9CpKVEVERERERKRXUaIqIiIiIiIivYoSVREREREREelVlKiKiIiIiIhIr6JEVURERERERHoVJaoiIiIiIiLSqyhRFRERERERkV5FiaqIiIiIiIj0KkpURUREREREpFdRoioiIiIiIiK9ihJVERERERER6VWUqIqIiIiIiEivokRVREREREREehUlqiIiIiIiItKrKFEVERERERGRXsUZ6wAuVQ8//LCVlpYW6zDeoaWlhcTExFiHIReI2rf/Utv2b2rf/k3t23+pbfs3tW/PlZWVVRuGkd3ROSWqMZKWlsbChQtjHcY7rFixgrlz58Y6DLlA1L79l9q2f1P79m9q3/5Lbdu/qX17zjTNY+c6p6G/IiIiIiIi0qsoURUREREREZFeRYmqiIiIiIiI9CpKVEVERERERKRXUaIqIiIiIiIivYoSVREREREREelVtD1NL9XY2EhlZSV+v/+iPm9qair79u27qM/5buLi4sjJySElJSXWoYiIiIiIyEWgRLUXamxspKKigvz8fOLj47HZbBftuZuamkhOTr5oz/duLMuira2NkpISACWrIiIiIiKXAA397YUqKyvJz88nISHhoiapvZHNZiMhIYH8/HwqKytjHY6IiIiISJ+yu3o3la1973u0EtVeyO/3Ex8fH+swepX4+PiLPgxaRERERKSv++LyL/JI4SOxDqPLlKj2Upd6T+rb6f0QEREREemaZl8zlW2VDE8dHutQukyJqoiIiIiISD90tPEogBJVERERERER6R2KG4qBvpmoatVfibolS5awd+9ePB7PWcfj4+P5whe+EKOoREREREQuLcUNxThtTgYlD4p1KF2mRFUuiOnTp3PbbbfFOgwRERERkUtWcUMxg+xu4rY9CTM+GutwukRDf0VERERERPqh4oYihjfVQvXBWIfSZUpURURERERE+plAKMCxxuMM93khd2Ksw+kyJaoiIiIiIiL9TElzCQErwHB/AHInxDqcLtMc1T7CfHEPe0sbL/jzBINBHA7HWcfGD0zBuK1r/3MXFhayd+/es47NmzePGTNm9DhGERERERE5v1Mr/hZUQMCZ0+cSv74Wr/QRWkxJRERERCR2TiWq7uVpVNr/l4EPPRTjiLpGiWof0dUeze5qamoiOTn5ojyXiIiIiIhcGEcbjzKsySLUYuEeOy7W4XSZ5qiKiIiIiIj0M8V1h5hR4gPAM25sjKPpOiWqckF4vd5YhyAiIiIicskqri9ibHkIAPeYMTGOpus09FcuiL1792Ka5juOL1q0CI/HE4OIREREREQuDXXeOuoDLQyqAmduNs709FiH1GVKVCXqFixYEOsQREREREQuWacWUkqtceCZ2vf2UAUN/RUREREREelXihuKifNbOOvtfXJ+KihRFRERERER6VeKG4oYUWWBBe5xfW/FX1CiKiIiIiIi0q8UV+9lekkAAI8SVREREREREYm14oYiRldY2BPiicvPj3U43aJEVUREREREpJ9oD7ZT0l7HwMpwb6rNZot1SN2iRFVERERERKSfON54HCsUIqXWgXv8hFiH021KVEVERERERPqJ4oZi8urA7gfP2L654i8oURUREREREek3imsPMKzSAuizW9MAOGMdAIBpmmnAQqAocqjAMIyHo13/ApSbDtxzxqEC4MeGYRR2NnYREREREZFoKa7aycSyEDjsuEaOjHU43dZbelSXAE8bhvG0YRhPA0+bprn0AtSPWrlIklpgGMaiUzfgUWBr5JyIiIiIiMhFVVxfzMjyEO7hQ7G7XLEOp9tinqiaprkQKDIM41TvJZGf603TvCta9aNdDngAePDMWAzDWAbUR86JiIiIiIhcNJZlUeytZkC1Dc+ESbEOp0d6w9DfBYR7MN9uM+GE7+ko1Y92uaWEk9KOnOv4JWHJkiXs3bsXj8dz1vGCggIWLFgQo6hERERERPq3itYKXC0BPC023OPGxTqcHukNieo84KEOjhcBM6NYP6rlTg0JPrNAZMhvGvBUJ+Lu16ZPn85tt90W6zBERERERC4ZxfXFDK2ILKQ0tm8nqjEf+htR28GxesJJXzTrR7vcaZEFmB4DHtBiSiIiIiIicrEdrdzOsMrwz56xY2IbTA/FtEc1kty9axnDMOp7Uj9asXQUT6QXdR4wH1gUmacqIiIiIiJyURVX7mBkeQhnTiaOtLRYh9MjsR76m9HJMvU9rB+tWE6Vqz/1INJ7Wgg8bJrmN0zTXGAYRoeLKUUWaloI4PF4WLFiRYdPkJqaSlNT01nH3G8a2Cv3dDLE7ou3IGA7+1goZwLt15mdvobf78fhcLzjNZyyefNmdu7cidfrJTc3l1tvvfUd81k74vV6z/meSec0NzfrPeyn1Lb9m9q3f1P79l9q2/6tN7bv3vI9XFVh0ZKf1+ti66pYJ6qnnC9J7GgYblfrZ0S5XIcMw3jYNM0jpmk+FNmu5u3nFwOLARYvXmzNnTu3w+vs27eP5OTksw/GucBx4ZsrEAzgfPvzxLlwvT2e84iLi2PXrl0cOnTorOOLFoXfkry8PK6//nogvPDShg0bOjWf1ePxMG3atE7HIe+0YsUKzvX/nfRtatv+Te3bv6l9+y+1bf/WG9v3oT82k1lnI+fea5nay2LryMqVK895LtaJ6qmkL+1cBc417Lcr9U3zdG9gVMqdJx4IL7D0DeAdiWqP3PyTqF7uXNqamt6ZJHfD+RZTGj9+/OmfJ0yYwLJlGi0tIiIiItITjb5GPBV+7Ba4x42NdTg9FtPFlCJJXz0d92AW8C7bvHS2frTLmaaZZprmVtM053VQriZSZvr5Yr+U1dXV8eKLL7J48WIlqSIiIiIiUbClZD3DKiMr/vbxrWmgd6z6u4WOezDTgM5kMZ2tH81yBcD0c5TLjNwXdXDukuf1elm8eDETJkxg4cKF3HrrrbEOSURERESkz9tY9AojykPYEzzE5efHOpwe6w2J6hJgVgfH59O5/Ug7Wz9q5SILKD0c2Uv17aYDhZ0YInxJqqurA2DgwIEA7Nlz4ReIEhERERHp7zZUFjK+PIRn7BhsNtu7V+jlYp6oRhYYKjBNs+DUsVPDZt+eCJqmWWea5pHu1I92OWBpZBXfM+ObR3irmgWdfgMuMQMGDGDgwIE89NBDLF68ONbhiIiIiIj0eZWtlRR7a8mptuOeODnW4URFrBdTOuUG4MEzktARhmHM76DcFjqet9rZ+lErZxjGMtM0p5um+VDkUBrhua3pl3pv6oIF58/T77///osUiYiIiIhI/7exbCP5NeAIgGfc+Hev0Af0ikQ1kti96yq550gqu1I/2uVO7aEqIiIiIiISExuOr2BySRCA+Cn9o0c15kN/RUREREREpHssy2JD2QYuPxHEnhiPa9iwWIcUFUpURURERERE+qijjUep9DcyrAziJ03GZu8fKV7/eBUiIiIiIiKXoA1lG3D5LeJrHXimTI11OFGjRFVERERERKSP2li6gctKgmD1n/mpoERVRERERESkTwqGgmwq28jVx/0AxE+aFOOIokeJqoiIiIiISB+0r3YfTYEWRpdaOHOzcWZnxzqkqFGiKiIiIiIi0gdtKNsAQHJVHPFTp8U4muhSoioiIiIiItIHbSjbwLRGCDXbiJ88JdbhRJUSVRERERERkT7GG/CyrWIbNxS3AP1rISUAZ6wDkP5nyZIl7N27F4/Hc9bxgoICFixYwCOPPMKtt95KQUFBjCIUEREREenbtldtxxfyMaEkBHY7nvHjYx1SVClRlQti+vTp3HbbbbEOQ0RERESkX9pQugEnNjIr7FgjR2BPSIh1SFGlob8iIiIiIiJ9zMayjUy23Pjq3MRPmRrrcKJOiaqIiIiIiEgf0tDewJ6aPVx3spFQe/+bnwoa+isxcuTIEdauXUtRURHjx49nwYIFsQ5JRERERKRP2FK+BQuLaUdbgGQ8k5SoSow8tOkh9tfuv+DPEwwGcTgcZx0bmzGWRZct6tJ1CgsL2bt371nHFi166xper5f7778fr9fL4sWLWbt2LXPmzOl+4CIiIiIil4hN5ZuIt8eRXWGn0ePGPXJErEOKOiWqckG822JKEyZMAMDj8TBv3jyWLVumRFVEREREpBO2VW5jsiOF9tom4idNwva2jqb+QIlqH9HVHs3uampqIjk5+aI81ynp6em0tbVd1OcUEREREemLWvwtHKg7wGfaXHjrnGROmRLrkC4ILaYkMVdXV0d6enqswxARERER6fV2VO0gZIWYfqgcQvTL+amgRFVipKysDAjPVV2zZg0zZsyIcUQiIiIiIr3f9srt2LExpDQI9M8Vf0FDfyVGSktLeeKJJ6irq2PcuHFKVEVEREREOqGwspDR7gxCNQ04szJx5ubGOqQLosuJqmmavwOWGobx7AWIR/qBd9tq5gtf+MJFikREREREpP8IhALsrNrJ+0PxtNUn4Jk1FZvNFuuwLojuDP0dATwQ7UBERERERETk3A7UHaAt0MbMk8fxN0B8P52fCt1LVBcD803TvCPawYiIiIiIiEjHtlVsA2Dc8fCOGf11fip0b47qFuBp4GnTNB8FlgFFby9kGMb2noUmIiIiIiIip2yr3MZARyKeyjqabTY8EyfGOqQLpjuJahFgATbgM7xzGLAtcr7/7TorIiIiIiISA5Zlsa1yG7MCFi216XgmjsORlBTrsC6Y7iSq518pR0RERERERKKqpLmEqrYqZpY30FaRROb7rox1SBdUlxNVwzCeuRCBiIiIiIiISMe2VYbnp04qDmCFLJLmzIlxRBdWj/ZRNU3zTmBW5OEmwzCe63lIIiIiIiIicqZtldtItjlJKXXRlJBA/JQpsQ7pgupWomqa5vXAo4S3qjnzeC2wwDCMN6MQm4iIiIiIiBBOVCcHoLUqmYTLL8fmcsU6pAuqy9vTmKY5nPBKvw3AfCCdcMJ6d+TYMtM0h0YzSBERERERkUtVQ3sDh+sPc+XxGvz1ARL7+bBf6F6P6kPAVsMwZp1xrAEoJrxlzWHCva3viUJ8IiIiIiIil7QdVTsAmHTUAiBxTv9eSAm60aMKzAOeOs/5p3lr3qqIiIiIiIj0QGFFIU5sZJS6iRs4ENewYbEO6YLrTo9q7bucT+tEGenHlixZwt69e/F4PGcdLygoYMEC7W4kIiIiItIV2yq3McEXwlvhJuX2OdhstliHdMF1J1F9A3jQNM1HDcNoOvOEaZrDCM9VPV+Pq1wCpk+fzm233RbrMERERERE+jRf0Mfu6l18tqiFULvnkpifCt1LVL9BOBk9aprmj4BthHtRZ0XO1QOLohSfiIiIiIjIJWtvzV58IT+Tiy2w20m84vJYh3RRdHmOqmEYDcAMoBD4KbCU8LzURYST1pmGYTRGM0gREREREZFL0bbKbQCkl3rwTJyIIy0ttgFdJN3aR9UwjCJgfmSrmgLCPaqFhmEURzE2OUP5j35E+779F/x5AsEgtQ7HWcfc48aS961vRe05vF4vL774IkVFRQCMHz9ew4RFRERERDpQWFHImOYggSobaXddGsN+oRuJqmmavwOWGobxbCQxVXIq71BYWMjevXvPOrZoUXhE+OLFi5kxYwYLFizA6/WeTlhFREREROQtlmWxvWIrHz7cDpbrkpmfCt3rUR1BuBf12SjHIucRzR7N82lqaiI5ObnH1znXYkqnktI5kQ+Zx+Nh/PjxPX4+EREREZH+prixmHp/E5OKLewJCcRPnhzrkC6a7uyjupjwsN87oh2M9H9lZWWkp6fHOgwRERERkV5vfel6ADJK3STMno0tLi7GEV083elR3UJ48aSnTdN8FFgGvGPspmEY23sWmvRHAwYMYOvWrbEOQ0RERESk11t1YiXTqwJYjZA458pYh3NRdadHtQj4AGADPgMsAbaecSuM3Iu8Q0FBAQBr164FwgsrLV26NJYhiYiIiIj0Oq3+VjaXb+aWgz4Aki6h+anQvR7VuwEr2oHIpWPhwoUsWbKENWvWAOH5rCIiIiIi8paNZRvxWwHGHoW4/IHEDRkS65Auqi4nqoZhPH0hApH+Y8GCBec97/F4uP/++y9SNCIiIiIifc/qktUkByzc5W4S77gam80W65Auqi4P/TVN83emad55IYIRERERERG51FmWxarjb3J7kZeQzyLxyktrfip0b47qCOCBaAciIiIiIiIicKj+EBXeauYcDIHTecktpATdm6O6GPiXaZp3GIbxXDSCME0zDVjIW6sHFxiG8XC061+ActOBe4A0wnvLFgGLDMOo72zsIiIiIiIiZ1p1chVYFjnHPcTPvgJHUlKsQ7roesv2NEuABwzDKAIwTbPANM2lhmHMj3L9qJWLJKkzDcNYdMaxh4Bi0zSHK1kVEREREZHuWH1iJVeXBwg12Ei+4YZYhxMTMd+exjTNhUDRqaQQIPJzvWmad0WrfrTLAfMMw1h8ZiyRpLUWeKwTL/28LEsLK59J74eIiIiIXAoa2hvYUbWT9+zzA5B03fUxjig2upOoLiC8Rc2CM34+83bqWFeu11Fiu5nOzYXtbP1ol3vwHIn008C88wX8buLi4mhra+vJJfqdtrY24uLiYh2GiIiIiMgFtb50PUFCjChy4Jk4gbjcnFiHFBPd2Z7mmSjHMA94qIPjRcDMKNaPdrlaIKODcjWE56x2W05ODiUlJeTn5xMfH3/JLUV9JsuyaGtro6SkhNzc3FiHIyIiIiJyQa06uZIhDSHsVQ6S7+vsTMj+pztzVE+LbFNTACw2DKPRNM3hwDTDMJ7t4qVqOzhWT+cTvs7Wj1o5wzBGnCOWWXQwZ7crUlJSACgtLcXv9/fkUl3m9XrxeDwX9TnfTVxcHLm5uaffFxERERGR/ihkhVhzYiUf3dcOxJF8w6U57Be6maiapvk7wqvi2gCL8IJK2yOnl5imeVdnVgSOrK77rmXOtTBRZ+u/W5mulnuXhZLmAT/uzLXOJyUlJSaJ2YoVK5g2bdpFf14RERERkUvd7urd1PmbmHoI4gbl4xo5MtYhxUyXE1XTNH9CeK7mIuAZ4PCpc4ZhFJum+SzwLaAzW9d0NHS2ozL1PazfGV0pV9/RCdM0v0F4IaYOt9aJLNS0EMDj8bBixYpOPuXF09zc3CvjkuhQ+/Zfatv+Te3bv6l9+y+1bf92Idr3pfqXSPBaJJTGUX/9WFauXBnV6/cl3elRvQt41DCMnwKYpvn285uAO7t4zfMliR0Nw+1q/Ywol3uHyHY1DwAzzlUxskrwYoDFixdbc+fOPc/TxMaKFSvojXFJdKh9+y+1bf+m9u3f1L79l9q2f7sQ7fu753/N7Qd9EHIw/mMfI2FmZ5bs6bvOl4h3Z9XfDODIec5n0vk5mqeSvrRzFXiXYbadrR/tch15CJiv/VNFRERERKSrqtuq2Vt/kKsOhHCkJhN/iU/H606i+gbhrVmGvv2EaZqphIe2LuvMhSJJXT0d92AWcO4hv12qH+1yb2ea5hLggTP3XhUREREREems1SdX4wha5ByPI+n6G7A5HLEOKaa6k6h+KlKvyDTNpwgvpjTDNM2vEe5JtQjPX+2sLXTcg5lG5xLeztaPdjkATNN8CPjxmUlqZBiwiIiIiIhIp6w+uZLZx0Lgg+R582IdTsx1OVE1DKMBmA4sBxYQXvn3MeBhwr2tBYZhNHbhkksIb+nydvOBp6JYP9rlTi2O9JRhGIVvK6v/s0REREREpFP8IT/rS9Zy814/NlcciVdeGeuQYq47PaoYhlFsGMZ8IJ1wAjcfSDcM4+5IItuVay0GCkzTLDh17FSPpGEYT59Z1jTNOtM0j3SnfrTLmaY5DxgBZJimOS9yuyuSvHaU6IqIiIiIiLzD5rLNNAfaGF5kJ/HKK7HHx8c6pJjr1j6qp0SS0jeiEMcNhOe9nkpCR0QS4bfbQsfzRDtbPyrlInuuLo08/EYH9Rd3cExEREREROQd/rH/SSaXg7PFTvL8jtKTS0+PEtVoiSxi9K7zWs+RVHalflTKRc7b3u06IiIiIiIi53Os8RgrT67ix7vawOYm6brrYh1Sr9ArElUREREREZFL0d/2/g0nMKrIjmvKRJwZHW1Acunp1hxVERERERER6ZmG9gaeP/wcd5W2Eqxzkjz/PbEOqddQoioiIiIiIhIDzxx6hrZgO3dsCYDdTvJNN8Y6pF5DQ39FREREREQuMn/Iz5N7/8Y19T7sh5JIuvk9uAYNinVYvYZ6VEVERERERC6yZceWUdFWxcfWtxPyBclc+OlYh9SrqEdVRERERETkIrIsiyd2/4XRrQFS9ieRcN01eMaMiXVYvUqPElXTNO8ECoDFhmE0mqY5HJhmGMazUYlORERERESkn9lRtYNdtXv53w1eQl4PWQ8sjHVIvU63hv6apvk70zSDwNPAQ4ST1VOWmKZ5RzSCExERERER6W/+uvvPpPtCDNmTSMIVVxA/dWqsQ+p1upyomqb5E+AB4JvASMB26pxhGMXAs8C3ohWgiIiIiIhIf1HSXMIbJ97kvzd7CTYH1Zt6Dt0Z+nsX8KhhGD8FME3z7ec3AXf2MC4REREREZF+58k9T+AIBpm8Ix7X5AkkXHFFrEPqlboz9DcDOHKe85lAUffCERERERER6Z9a/C08e3AJC7e1E2oIkvWZB7DZbO9e8RLUnUT1DeBB0zSHvv2EaZqpwEJgWU8DExERERER6U+eO/gMLcF2rtnqxj1qFElz58Y6pF6rO4nqpyL1ikzTfAqwgBmmaX6NcE+qBSyKXogiIiIiIiJ9WyAU4G87H+PuPT5stSEyH3gAm71ba9teErr8zhiG0QDMAJYDCwgvpvQY8DDh3tYCwzAaoxmkiIiIiIhIX/bGsTcoaa/jto1O4gYPJuU9N8U6pF6tW/uoGoZRBMyPDPWdGTm8JZLEioiIiIiISIRlWTy+/TfccDiAq9JG5vc/hc3ZrVTsktHld8c0zRrgKcIr/+4g3IsqIiIiIiIiHdhWuY1djcX8cYOFMzuH1Pe/P9Yh9XrdSeOPAp8BHjBNsx54FPiXYRjboxeWiIiIiIhI//D4jkcZWxEk+aSd9C/dh93linVIvV535qjOANKBBwknrd8Etpqmecg0zR+ZpjksqhGKiIiIiIj0Uccaj/Fm2To+vdGHzRVH2t0LYh1Sn9CtZaYMw2gwDOPhM5LWzwLbCPe0HjFN82AUYxQREREREemTntj9Z1LaQgw+6CLllltxZmTEOqQ+occzeCMLKC02TfN1YD7hrWlG9PS6IiIiIiIifVm9t57nDz/Plza3gz+O9A/fF+uQ+oweJaqRYb4PAHcBBZHD2wgPBxYREREREblkPXXgKdqDfqbvdhM/YyrxEybEOqQ+ozur/g7j7OTUBhQRTk6fNgyjOJoBioiIiIiI9DXtwXae3PM4H97bDg1OMu6/P9Yh9Snd6VEtOuP+p4S3qVFyKiIiIiIiEvFS0UvU+pt4T6EdZ24uyTfcEOuQ+pTuJKoPA08ZhrEt2sGIiIiIiIj0dZZl8dedf+DqUh9xJXbSv/RBbHFxsQ6rT+lyomoYhuafioiIiIiInMOakjUcaT7BNzcFsLkStSVNN5w3UTVN83ogzTCMZ884NrUzFzYMY3uPIhMREREREemDHt/1R4a2BEk77CHlttu0JU03vFuP6tNAKuA441ghYJ2nji1y3nGeMiIiIiIiIv3Onuo9bKzcysOb2rD8HjK0JU23vFui+hPemZR+poNjIiIiIiIil7zfbv8NaQGLEfsScc2cimf8+FiH1CedN1E1DOPhDo4tvnDhiIiIiIiI9E07q3ayqmQ15s5mgg3xZHxYW9J0l72rFUzT/FpkL9VznX8qMrdVRERERETkkvHb7b8h3YJpexJx5uWSPE9b0nRXlxNV4CGg4DznbcCi7oUjIiIiIiLS92yr3Mba0nV8/mAD3pMh0u/9IDZnd3YDFeheomp7l/NFwMxuXFdERERERKRP+s22/yMzaDFrcyqOtDTSP/TBWIfUp3UqxTdN8wbgrjMOLTJN8+2bAWUAacB8oC4q0YmIiIiIiPRym8s3s7F8E/+zqwnviQRyv/VZHCkpsQ6rT+tsX/R04J7IzxbhZLQj9cAywsODRURERERE+jXLsvjNtv8jJxBiwuYUGDKA9HvvjXVYp7X5gsS7+t7OoZ1KVA3D+CnwUwDTNEPAPMMwll/IwERERERERHq7TeWb2FpZyE83tuCvjif/l1/B5nLFOiwAQiGLBY+u4/LhmXzn1r61TU535qguBmqjHYiIiIiIiEhfYlkWvyl8hEHeEAWFSXgmTyb5pptiHdZpz24rYXdJI5MHpcY6lC7r8jJUhmF85kIEIiIiIiIi0pesL13PtuqdPLK6lWCzh0GLvoHN9m5rz14crb4AP31tP1MGp3H7lIGxDqfLerRe8vn2UzUM42hPri0iIiIiItJbheemPsKoxiADdiaQOO86EmbMiHVYpz22qpiKxnZ+86HpvSZ57opuJaqmaf4Y+Ma7FOt7M3ZFREREREQ6Ya93Lztr9vD7N71YgXhyvvLVWId0WkWjl9+vPMJ7J+Uxc1hGrMPpli7PUTVN8+vAIuAZ4EHC+6o+BnwTeDby+OEoxigiIiIiItJrhKwQL9e9yNTKIBn73aTdczfuguGxDuu0n79+gGDIYtF7xsY6lG7rTo/qA8BDhmE8CGCa5jeBf51aBdg0zX8R3k9VRERERESk3/nn/n9y3F/C995ox+5OIftzn4t1SKftKW1gydaTfPrqAoZmJsY6nG7rzqq/BcCRMx4XRY6dshSY15OgREREREREeqOTTSf55db/5a4j7SQddZG5cCHOrKxYhwWE583+8KV9pMXH8bnrRsY6nB7pTqJaBIw44/EyYMEZj2dwduIqIiIiIiLS51mWxffWGTgCXu5908KZlUHGRz8a67BOW76/knVHavjSvNGkxsfFOpwe6c7Q38XApwnPTwV4CviGaZq/JTw/dSGwNTrhiYiIiIiI9A7PHHqGjeWb+NXKJkJV8eT++OvYExJiHRYAgWCIH728j4LsRD50+ZBYh9Nj3elRfZQzFksyDGMb8JnI7QGgELg7KtGJiIiIiIj0AuUt5fxs88PcXOJj4KYE2idNIvX974t1WKc9v72UI1UtLHrPWOIc3Unzepcu96gahtFAeJXfM48tBhabppkaOS8iIiIiItIvWJaFuc7E5m3jky+BLSWVxvs/3Gv2Jw0EQ/x6+SEmDEzhxvG5sQ4nKrq1j+q5dDdJNU0zjfCQ4aLIoQLDMDq9xU1n60e73BnlFwILDMOY39mYRURERESkb3jhyAusKV3Dr5a1EKpxM+j/fkCpM6qpVI88v72UozWtLL5/Rq9JnnvqnO+uaZpTe3JhwzC2d6H4EuABwzCKIs9dYJrm0i4kfp2tH9Vypmk+CtQT3o6nb+6kKyIiIiIi51TVWsVDG3/MrcU+Bmx3k3rnHSTPmwcrVsQ6NCDcm/p/bx5m/IAU5veT3lQ4/xzVQsKLInX1dqpep0R6I4tOJYUAkZ/rTdO8K1r1o10ucvwBwzAWdeX1ioiIiIhI32BZFj9Y/31sLc189GWIG5BH7re+FeuwzvLCjlKKq1v44rxR/aY3Fc4/9PczgHURYlhAuAfz7TYTXpzp6SjVj3Y5ERERERHpx149+ipvnlzBr19pw2pyM/A3D+NISop1WKcFgiH+b/lhxg3oP3NTTzlnohpZIOlimAc81MHxImBmFOtHu5yIiIiIiPRTJ5pO8KP1P+COfT5y97nI+MTHSZg1K9ZhneXFnaUUVbfw+w/3n7mpp/RoBrBpmncCBcBiwzAaTdMcDkwzDOPZLl6qtoNj9YTnfkazfrTLiYiIiIhIP1PZWsmnX/sUifVNfPA1G+6RBWR/6YuxDusswZDFr9/on72p0L19VDFN83emaQYJD4N9iHCyesoS0zTv6OR10npSprP1o13u3cqIiIiIiEjfVO+t54HXP01dcyk//3cL+J0M/NnPsbtcsQ7tLC/uCPemfvGGkdjt/as3FbrRo2qa5k8Iz9VcBDwDHD51zjCMYtM0nwW+BTzXict1ZqXcDMK9mT2p3xldKVffybJniSzUtBDA4/GwopesFHam5ubmXhmXRIfat/9S2/Zvat/+Te3bf6lt+x5vyMv/lf+aUt9x/vhSE/bj8TTdcTsbysuhvPyssrFs35Bl8ZM1bQxOtuOq2s+KFQdiEseF1J2hv3cBjxqG8VMA0zTffn4TcGcXr3m+JLGjYbhdrZ8R5XLdEpn3uxhg8eLF1ty5c7t7qQtmxYoV9Ma4JDrUvv2X2rZ/U/v2b2rf/ktt27e0B9v53NLPcNJ/nEeXNuHZFU/avfcw1jA6nP8Zy/Z9bttJylt28Lv7pnH9pAExiSEaVq5cec5z3Rn6mwEcOc/5TMILD3XGqaQv7VwFDMOoj0L9aJcTEREREZF+IhAK8I0VX2NjxRYeebOJlK3xpL7vdvK++91et0hRmy/IT189wISBKdw0IS/W4Vww3UlU3wAeNE1z6NtPmKaZSnho67LOXCiS9NXTcQ9mAe8yxLaz9aNdTkRERERE+oeQFcJY+x2Wn1zBT9c2kb0hnuT58xnwwx9is3drSZ8L6vcrj1Da4MW4bUK/nJt6Snfe+U9F6hWZpvkU4b1WZ5im+TXCPakW4fmrnbWFjnsw0+hcwtvZ+tEuJyIiIiIifZhlWfx04094oeg/fG9zM0NXx5N49dUM/PnPsDl7tEHKBVFS38bvVx7h1skDuGx4Z5fY6Zu6nKgahtEAzACWAwsAG/AY8DDh3tYCwzAau3DJJUBHGxLNB56KYv1olxMRERERkT4qZIX42aaH+NuBf/DV7S2MfzOBhBkzGfTIr3rdCr+n/PjlfQA8+N5xMY7kwutWX7ZhGEWGYcwH0gkncPOBdMMw7o4ksl251mKgwDTN01vcmKY5PXLu6TPLmqZZZ5rmke7Uj3a5t0nr7OsVEREREZHY8gV9LFr5df66/+98YXcLVyxNwDN+AoN+/zvs8fGxDq9Dm4pr+c/OMj5z7Qjy03pnjNHUne1pfgcsNQzj2UhS+kYU4riB8LzXU0noiEgi/HZb6HieaGfrR7WcaZqPEp67OhNIM01zKeHhz48ahlHYwXVFRERERCSGGtob+NLyL7Klcivf3dPIpNdScBUUMOSxxTiSkmIdXoeCIQvzxT0MTPXwmWtHxDqci6I7A69HEE7Ono1WEJFFjN51Xus5ksqu1I92uQferYyIiIiIiPQO5S3lfHbpZzjaUMQv9tYxZGkmzoEDGfKnP+JIS4t1eOe0ZMsJ9pQ28usPTiPe5Yh1OBdFd4b+Lgbmm6Z5R7SDERERERERuRAO1B7gvpc+RHlDMYv3VjH0jWwc6VkM+fOfcGZlxTq8c2r0+vnpaweYNSydWyf33T1Tu6o7PapbgKeBpyNDX5fRwb6phmFs71loIiIiIiIiPbexbCNfevNLJPjb+fPeMuwrBmOLT2TIX/5M3IDenfz9+o1D1Lb6ePy2y3rdnq4XUncS1VNb0NiAzwBvH/5qi5y/NPqkRURERESk13qp6CX+39r/xzDLyW/2HadlTQGWzcGQP/8J15AhsQ7vvNYdrubPa49yz8zBTMxPjXU4F1V3EtUFUY9CREREREQkypYdW8aDqx9kpj2Rn+87QO36MYTaAwx5/A+4R46MdXjn9eTG43z3+d0My0rk6zeNiXU4F12XE1XDMJ65EIGIiIiIiIhEy+7q3Ty4+kEm2RP49b79VGwaj7+xjSF//CPxEybEOrxzCoYsfvjSPv60tphrR2fz6w9NI8UTF+uwLrru9KiKiIiIiIj0WmXNZXz+jc+TaVn88uBBKgsn4atqYPCjvydh+rRYh3dOTV4///2Pbaw4UMXH5wzj2+8dh9PRnfVv+z4lqiIiIiIi0m80+5r5rzf+i/b2Bv5QfJyWbZPwnqxl0COPkDh7dqzDO6cTta188vHNFFW18MM7JnLf5UNjHVJMKVEVEREREZF+IRAK8LVVX6O4/gi/PVmBq3ACLUeqyP/5z0i+/rpYh3dO64/U8LknCwkEQ/z1E5dx5cjeu13OxaJEVURERERE+jzLsvjJpp+wtmQtRmUNg7eMpPlAFQN++D+kvPe9sQ6vQ5Zl8eiqIh5+dT/DshL5w0dmUpCdFOuwegUlqiIiIiIi0uf9bd/feOrAU3y8tpHZG4fQuK+W3G99i7QPfCDWoXWoyevn60t28uqect47KY+H75pCklvp2Sl6J0REREREpE978/ib/HTzT7mhxcu967Np2N1A9pe+RMZH7o91aB06WNHEZ57YyrHaVv7fLeP45FXDsdlssQ6rV1GiKiIiIiIifdbemr0sWvk1xrf7+PrqRBp2tpC5cCFZn3kg1qF16IUdpSx6eieJbidPfupyLi/IjHVIvZISVRERERER6VNa/a2sKVnDG8ffYMXx5aT6vfxklZPGbe2kf/jDZH/5S7EO8R1CIYufvLqfxauKmDk0nd/cN53cFE+sw+q1lKiKiIiIiEivV9NWw4oTK1h+7HU2lG3CZwVIw86NzS18ZJOTti02Uu+8k9xvPdjrhtF6/UG+umQHL+0s4/4rhvLd28YTd4nuj9pZSlRFRERERKRX8ga8LNn1J5YVvcS25uNYQL4/wD2trVzf6mVy0kiajo+gcuM+km9+DwN+8H1s9t6VANa3+lj4161sOlrLt947lk9fXdDrEuneSImqiIiIiIj0OuuOLecHqx/kZLCVMe0+Puv1c33qKEbkXUFLRQJNh05QtHY9Vus+kubOJf+hh7A5HLEO+ywn61r52J83c7ymlUc+OI3bpwyMdUh9hhJVERERERHpNarbqvnp8q/ycnUhQ/1+/pA+ixkzP0Hznkoa31jO4XXPYfn9OLKySL3tNpLnzydx9hW9LkndXdLAx/+ymXZ/kL9+8jKu0KJJXaJEVUREREREYi5khXh29+P8ovBXeK0An/U5+VDOf9Pw7/Uc+s7nIRQiLj+f9PvuI/nG+cRPmdLrktNTVh6s4r/+tpXU+Dj+/tkrGZ2bHOuQ+hwlqiIiIiIiElOH6w7x/WVfYFvrSWZ62/m26wZcm/2Urf5fnHl5ZH3mAZLnz8c9dmyvn9/54o5SvvzUdkblJvOXj8/Syr7dpERVRERERERioi3QxmMbH+bPh58mMRjkxw1pTCueQ+PSlQRTUsj5+tdJ//B92N3uWIfaKU9vPck3nt7BzKEZ/PFjM0n2xMU6pD5LiaqIiIiIiFxUJ5pOsGTPEzx36BnqQz7uqvHxsWPTaFu+lyb7BjI/9UkyP/UpHKmpsQ610/6+8Rjffm43V43M4rGPzCTe1TuHJfcVSlRFREREROSCC4aCrC1dyz/2/o21ZeuxWxbzG9q4/+Ag3BtbaG3dReod7yf7858nbsCAWIfbJX9cU8wP/rOX68fm8Nv7puOJU5LaU0pURURERETkgqn11vLcoedYcuApSlrKyA6G+ExDE7eWj6J9XTuBqkoSrr+enC9/CfeoUbEOt8t+8+ZhfvraAW6emMev7p2Gy9m79nHtq5SoioiIiIhIVFmWxc7qnTy1/ylePfoq/pCfWb4gX66rZbZvCjWbHLQcLMYzcSL5v/hfEmbNinXIXWZZFr9YepBH3jjE+6YO5OcLpuB0KEmNFiWqIiIiIiISFa3+Vl4pfoWnDjzFvtp9JNpd3NXSzj015QxOmEnlwRmUrNmCMy+PgQ8/RMqtt2Kz973krtUX4Mn9PpYeO8TdMwfx4zsn47D37tWI+xolqiIiIiIi0iNHG47y1IGneP7wv2nyNzPK5uE7tY3c0tiAJ2sW1a03UPTPFRBXTfYXv0DGxz6GPT4+1mF3WUt7gCc2HOOxVUXUtAT46OyhGLdNwK4kNeqUqIqIiIiISJcFQgFWnljJP/c+wYbKrTiB+S2t3NvQxDRXJtbID1B/LJ2SJ14m2LCM1DvvIPsLXyQuNyfWoXdZk9fPX9cf4w+ri6hr9XPN6GyuTm/i0++bGOvQ+i0lqiIiIiIicl7NvmaONR3jWMMxjjUUcaxqN1uqdlARaCYvEOC/G5u505FO5pgP4rVNpHztfhp/+AqhxkYSLr+c3G8uwjNuXKxfRpc1ev08vvYof1hTTEObn+vGZPOFG0YxbUg6K1asiHV4/ZoSVRERERERAcDvbWPns49RVn2Uokw/u+KrOew9TrW/8XQZm2UxIBBknM/Hg/Z0rh19D1bmHBrWH6Dof5/Hd/QZbB4PyfPnk3bnHSRccQU2W98YGlvf6mPb8XoKj9ex9Vgd247X0+YPMm9cLl+4YSSTB6XFOsRLhhJVEREREZFLmD/kZ9PB5Zx44o8MeX036U0WI4ARwHygOSWELz1EXKaDtMF55I2dRNKMqyBnEo2bD1Ly1+dp3fgkWBYJM2eS+elPkXzTTTiSkmL8yt5dQ5uf13aXs/VYHVuP13G4shkAh93G+AEp3DNrMHfNGMTE/NQYR3rpUaIqIiIiInKJ8Qf9rC9bz7pNz5L03JvM2e5jih9KB4cIzW5hfG4ecaHBtLckk1Ibov1kLe07TxAsrKDk+QpwvInN6cRqbydu8GCyPvc5Ut93O67Bg2P90jolEAzxz80n+MXSg9S2+EhLiGPGkHTumJbP9CHpTBmcSoJLqVIs6d0XEREREbkE+II+1pWuY+nR1zmx9nWuX9fKbQctLLuFr8BH/pzBjJt7D4y/HVIHAZB8Rn3L58N37Bjthw7hPXSIUEsLKTfeSPyMGX1maC/A2sPVfP/FvRyoaOKy4Rk8ePNYpg5O61Ov4VKgRFVEREREpJ/yBrysLV3L0mNLWXX0DSbuaeV9Gy0KyixCrhAZlyeTdc8C4q78EKSdvzfU5nLhHjUK96hRpFyk+KOpuLqFH760j2X7KhicEc/v7pvOeybmKUHtpZSoioiIiIj0I22BNtaUrGHp0aWsPLECe1Mrt+yweGRLkMRmG3FpDjLuu5K0T34V+8AxsQ73gmto8/PrNw7x+PqjuBx2Fr1nLB+fMwxPnCPWocl5KFEVEREREYkxf8hPcUMx+2v3s69mH/tr93O4/jAep4echBxyE3LfuiXmnj6Wk5CDy+Gi1d/K6pLVvH70dVafXElbsJ2JFfDd9V6GH3RgC9pIGJtPxsc+SdJt92Bz9I8kzbIsdpU0UFTVQnVzO7UtPmqafdS0tFMdua9obMcfDHH3jMF89abR5CR7Yh22dIISVRERERGRi8Dy+WjdupW21kZKkgMccNext+Uw+2v3c6juEL6QDwC3zcFo3NzgbcVvt1PRXM8h+0HW4KfNCr7juhnudFoDrXiD7WQFbTyws5nLttlxVsRhc7lJvXU+6Z/8LJ7Roy/2S75gQiGLpfsqeHTlEQqP158+7rTbyExykZHoJivJxbDMBLKS3Lx/Wr5W7u1jlKiKiIiIiFwgoZYWmlevofzVF2hftRZnazsALmASMCjZxpx0J6RAgquV7HgvAzw+PANycI6KLFLUXAmN5VjNVTT7W6h0OqhwOqlwOKhwOqhwNpPUanHDjhCJB5MJNLmJy8sh/esfJe0Dd+JIS4vlWxBV7YEgz28r5dFVRzhS1cKg9HjM2ydw1agsshLdpMQ7Nee0n1CiKiIiIiISRYHaWprffJP4fzzBvgOHsfuDNMbD1lE2KidkMCI+jhEnq8iraGRYox1/Sxy+Og+BZhdBy8VJAELY3DuxezzgcGBzJIMjDZvdBljk2ixyCWEjBLYQvspGLF8Q1+WzyLv/wyRdd12/Gd4L0OT1849Nx/njmmIqGtsZNyCFX907lVsmDcDpsMc6PLkAlKiKiIiIiABVrVVsKt/EprKNHKjeTU58NkNThjI4dThD0woYkjyE3MRc7LZ3Jka+kyU0L32dypefI7T7EDYL2lNg9RQbtcMtxqY2c2dbK3nBErDnwZzLYPDlMPgyGDAFnG5CPh/+khL8J0/iO3EC/8kSLK8XKxSEYBArGArfh955n3BNLmn33INnTO8Y3tvmC7K3rJEjVc14/UHa/SHaA0G8kfv2QOj0sUDIIs5hx2m3Eee0E2e34XTYcTpsxNntNLcHeKbwJE3eALMLMnn4rilcMypLPaf9nBJVEREREYmakNdL7eN/pfZPf8IzYTx53/0urmHDYh1Wh+q99Wyp2MLGso1sKt9IUUMxAMkhGN/u5bjDzlpnHD4bJLVBRjPkNlqMaIDBTTbymmykNdtIaLRw1AYAOJ4Nm6600TA0wIQU+HD6KPKyJ0D2mPAtawwkZkEHSZbd5cI9fDju4cMv6vvQU15/kP3lTew6Wc/Okw3sKmngUGUzwZD1jrI2G3icDtxxdtxOO26nA4fdhj8YIhC0CIRC+IMWgWAIf8jCHwxhA94zMY8HrhnBlMFpF/31SWwoURURERGRHrNCIRr/8x8qf/YQgcpaEgaEaNuygaLbbiVr4SfJfOBz2Fyu6DyX30/Df16i/dAh7AkJ2OPjsScmYE9IwBYfHzmWED52+nE8LW2N7Di2kd3HN3OwZAcV1Ufx+CxS2228pzXIiOZ2Bnkt0tz5WHEjCdS34K9pxF/XDP6zFzEKAfVJUJ4MtVk2Dk2x0zwxnctGz2Lh8PeSO+gyVmzYRt7cuVF5zb2BLxDieG0rR6tbOFrTwuHKZnaebOBgRROBSFKamehi0qBUbhyfy8T8VMbmpZDoduCOc+B2hntNu9oTalmWek8vQUpURURERKT7LIvWpUuo+Pkv8R6rw5Xmp/aWIE9NG0pqVT2zX2/C+s1i6v71V/K/8mkSbv80OOK69VRt7S0ce/oJfH/4G3FlNQSdNhyBd/banU8mcG3k9k5ucDppTgxgT27GmZND/MyJJOfmEZeXi/P0fS7OrCwsp4PK1kpONp3k5uTB5Cbmdut1daS5PcC6w9XYbeFVbLOS3GQluYl3Xfh5pxWNXvaUNlBc/VZSerSmhZK6Ns7sJE1PiGNifioPjC1gUn4akwalMjDVE/WkUknqpUmJqoi8gxUMUvHQQyTMnEnKjTfGOhwRkUtTWx00lkL2WLD3wkVxaovwLf8zlX9+jqYjQYIJITbcmsyfJlk04SPZ7iOY4+ZP9waZdjjEJ1/3Enjw1+x68tecvK2AoeNuZMTQaxmRNoJkV/JZl27xt1DcUMyR+iMcaThCcc1hkldv5/rldeTXwMlcePoDdoqGh3BZkOi3SGiHhICNBL+D+IA9cnPgDtjxBOy4/XbSgj6GtFcxBB+e5HTsI2ZjH3c99pFzsKekYk9Kwt6FXl8bkJeYR15iXlTe0vpWH8v2VfLq7jJWHarGFwi9o0yCy0FWkvuM5DV8PzgjgdkFmQzOSOjWc1c3t/PKrjJe3FHGpqO1p48ne5wMz0pk6uB07piaz7CsRIZlJTI8M5H0xOj0kIt0RImqiLxDzWN/oO6vT1C3ZAme8eNxDRoU65BERPqFYEMD7UVF4aGokRs+X3hoY3sTHF8Pxavg6Goo2wlY4E6FYVdBwVwouBayRnc4v/GiaK6EPc8R3PwUFcsOUX8wkaDDxn+ujuOZy0K4k9zMG3IDNw67kcsHXI7D5qC8pZzD9YcpunU31X9awoRV5Qw5UsRf5i3me+MfA5uN3PhsRqaHFwE60nCE8pby8PNZFlccsPjg6hADqqElPUjVexyMvGw8vx9yDa7UfGhvgvZG8DZ2cN8Qvvc2hMtljYKxn4axt8DAabF7H89Q1dTO63vLeXV3OeuP1BAIWQxM9XDf5UO4cXweCS4HNS3tVDf7qG5up+aM+xO1rWw7Xk9tS/vpns5B6fFcOSKTK0dkMXtEJrkpnnM+d32rj9f2lPPijjLWHakmZMHo3CS+On80s0dkMjwrkYxEl3o0JSaUqMppTcuX4y7cBt2YS9Gybh2Hh8TxxbVf50dX/4gRqSOiOvxFLp7Wwm1UPvII20fYGHvCy6Gvfo7x/3gOm/38S7/39vkjJc0lJMUlkerWZt8ich7+tnAvZmMptFZD2lDIGQdx8d2+pBUK0bR+HSX//CuhFeux+wNnnc8F9tkAp4XNGcIeB46EeBzJU3CmpBHnbsW5fwdxtuXEJQaJy8rAOfFqbCOvCyeuqVH+Y2IwAC2Vb70PjaXQVArlu2g/vJLtR5Nx7UzA1ZbEysk2/jMvlZkT5vPLSHIaZz97WO/ApIEMTBrINYOugcv/C+/evZT9v2/zxRf285mdceyaXc/erBaOtDWCI44Z3lZGNNYzrtgia2s8Vq0TV3YiWV+4mZR7PoEtY1j3EkzL6hWJKUBpfRuv7i7n1T3lbD5ai2XBsMwEPnV1ATdPzGPyoNQu/ZsaDFkcqWpm/ZEa1h2p5rU9FfxrS3iTmxHZicyOJK5XFGQS57CxbF8FL+4oY/WhKvxBi2GZCXzuupHcOnkgY/KS3+XZRC4OJapy2sn/+hxpwN4//Ymx2wqxu92dquc9cJDjn/gk+64aQM3VNTyw9AE8Dg+bP7z5gsYr0RdsbOTEV75ETXKIZ98Lkw/AgtcPsvaHH+Oq7/z1nPXefGIR1U++yPy/vkRadu9bqdAf9HPfS/cxLnMcv5v3u1iHIyLvpqU63LN4bB2UFAIWON3gjCfgcFHrdFJlhxqbRZUtRJUVoJYAqc4EhrozGebJZEh8Dimu5PBcSIeLcPYXufm94cTrdBJW9tbP3nognNNggc1O+D+ZIyF3IuRNDN/nToSUgedMfKpaq9i9ZyVN//432W/uIq3WR7MHVk+2sXO4HUcI4tvB4wePDzw+C4/fhsdnjzz242mvJPl4FZlNFolegPTT1w/9ay1NiWtoSP4BjSl2mtLdtGQmEZebRVbuQAbmD6Ugbzi5rlRsWGCFIrczfg60R96HsjPejzJoLgcrRAgodzo46ozjmMNDXW0KY1fmMaDWYt9wJ8UfmctlV9/NpwdcQVwX5px6xo9n2JKnqfv7k1T98pfMejadm98zjszsnRBoo8U/jur1abQVVeLMzyfrR58j9fbbsDl7+LW1E4mfZVmcrGtjX1kjJ+raGJDqYVhmIsOyEkhwde/5a5rb2VfWxL6yRvaVNbK3rJH95U0AjMlN5gvXj+LmSXmMyU3u9h98HXYbo3OTGZ2bzEevHEYwZLGvrPF04vpcYQl/23AcAJfDji8YYmCqh0/MGc6tkwcyMT+lV/+xWS5NvSJRNU0zDVgIFEUOFRiG8XC068eqXF9jC4XY9Pm7uOKxFztVvvTgFgBGbyrjrxvhaA6sH9cKHw6fbwu04Xa4O9xzTHoPy7Io+dY38VdW8pv77Hxj1jfJf08BOw4uJG/JZv6SNZ+PfvIFbK539io0PvcqE4sttj31MNd9vvclgqtOrqLGW8OakjUUNRRRkFpw0WOw/H6a3lhO4uwrcKRe/F7dth078JeW4ioYgWv4sC7NwRK54BpOhpPSU7fqAwQt2EIKO4LZ1AF19iA1jiD1dgg4wregAwKRx/GE8AdteHw2EnwW8e2Q7Q0xsDVIbluILK9FmjdEcjs4/RAI2QkEbYQsJ6GQA4J2CKRgCyRj94dwRhboaUyPoz43jubsEO2pmwgmv4EjMUgSFonOBJLShpKYMQpfUha7Go+yu/Ektr21TNsRYHKxRR5QNNji8Aw/mQNbWRBs58tBi/aBU2kdfDktg6ay5kQLY6ZPozXQSou/hVZ/K62BVmr9LZQE2giEAlgtbcRVN+CuacRd3YSnpoWEqnoSqpvIr2on+XAbzqAXqAb2A1DhgP3J4E0OYSWEiE8Ikubxk+f2kR4fwOEKEfTZqQ8lU2FPozbgpsWbSntrElazn7hmH8ktFqmtMNUHEKAhL4nGH3yUW+9YiMvZ8e8Ry7Ioqm5hQ1ENiS4no3KTGJGdhCfurXm2NoeDjI/cT/KN86n44Q+pen4ZjaNH40hJoXXLFpx5eeSZJml3vD9qKwW/ndcf5ED5WwnkvrIm9pU30uQNdFg+N8XNsMxEhkfmaJ76eWhmAp44B8GQRXF1M3vPSEq3H22l/tVlZ11j3IAUbpsykJsn5lGQnXRBXpvDbmNifioT81P59DUF+IMhdp5sYENRDQ1tfm6akMu0wenY7UpOpffqFYkqsAR4wDCMIgDTNAtM01xqGMb8KNePVbk+52hNMVd0smx18SaSgXhf+PHYEhhbEqLx1VdJvHE+d/xqFtfnDuMTqcN5cfh0Pjrho0pae6GGZ5bQsuxN/nGdnRum3MH9L2SR7GnjO198DMc3P0X88yUsH/ldbpj/07PqtdaXM/hwuPGbV2+Ez8ci+vP796Hn+OGTNg4MsHhyzJP8vyv+X88v2lYPmx4L98Rc+d+Qce6e5NZt2zj8za8Sd6wM74gBTP7n8ziSL97QqoYX/0PpokUQiizKYbcTN3gQ7oIRuEcU4Bo5kuR583AkXZgvTH2FFQpR89gfCLW1kvXpT2NPTIx1SBdHay2+/f8hLncitos1Zy/gg91PQ9FKOL4Oq+44/mYH3uZUqv0DKasai6ukiZRWi6tp68KFO1r91QE4CNih1Q3lbmiPg3Yn+Nzgc9rwOS18ziC+OAi5nODyYPd4cDpcpFe2klPSytgDfuwWQCItbjiWA9tzbRzNLedYTgUhG8zdFeLu3RZJbeBLthOam8fQa6cwbthISMqFxOzwfWo+HncyHiADGFC9gum503v0lloBH8EDa/GXllFfVkpF6TEaysvwVVbjqGkkocxLWpMTu+UOJ/5vqx9HO7m0E7JBS6IDX0o8VnomzpFZOLIHkJA3lLThYxh743xsce/sPW30+ll3uJqVB6tZdbCKkvqz281ugyEZCYzKTWZ0bhKjc5MZlZNMQXY2g379a5reeIPyH/wPgbpacr/9bdLuXvCuI7ssy8IftPAFQ/gCb93aA0HaA6HTx9vPOH6sppW9kSTyaHXL6XmdiS4HYwek8L6pAxk3IIVxA1IYkpFAeYOX4uqWyMq3rRytaWHp3gpqWnxnxZKX4qGu1Ud7ZPGjOIeNEdlJjM90cP20UaevmRGjxYfiHHZmDE1nxtD0dy8s0kvYLKtrS3pHm2maC4EZhmE88LbjS4CnDMN4Ohr1Y1XuXBYvXmwtXLjwfEUuun1jx53+uTYJLntpJf6TJ2h85VXy/t+3O6zTfugQG/5qkrNka4fnE9f+h5Y5twKwrcDGj+9x8Mcb/8i03GmUNZcxJGXIW4W9jVjuZAiFsDl64eqG/cCKFSuY28EcZCsYZNdV0zjq8bPmMzP49677KMhKxO20s+NkA59r2cmtS//K0ve7+cJPtp9Vd/3iL5L2i9epTQa3D6Zs3Eqcp+srDrYcL6SxdA8Drri/m6+uY9Vt1Sz64XV87ekAQaedr3w+niUff6P7c1Vba7E2/I616//Ikf1O4hvsZOa3c/XNC3DN/xbEp50uGmxo4MRD/0Pbs/+hOgVWTbZx+zoL/5ghTP37c+FFVKLkXG3b8NJLlH79GyTMnEnO17+O79gxfEVHaD9ShK+oCN/Ro1h+P/bUVDI//jHSP/zhSzJhDXm9HPvaV/AuexMAKyedweYPSb7uuhhHFnau9u2Rij3ULvtfVr+8igF7HNSkQukwO+0T80m/+mZGDruK0emjoz+v++DrBJ//Js17SvE2peBtTqOtsh2rLfzFP2CH4znQMiyXAdPnMOmKW3HHJ2P5/VgBPwQCkZ8DWP4zfg74sXs82BOTsCcmYk9KxJGUFF7FNSmJFnycaD7B0YajtAZaSXYlk+xKJsWVcvrn5Lhk4hxx+IMhyuq9VDV7GZaZSGaSm1BbG+2HDtGyZzfNe3fTvv8AoUNHwNv+1mtzOkmeN4+0D3yAxCtnn/63zBcIsfVYHasPVbH6UDVHa1pIdjtJ8jhJ9sTha2lk6MAckj1xJHucZ51L8TjJSHSRkegiM9FNSryzW0M0LcuiorGU4iNbKS3eRe2xg/jqaonPzCE9bxg5g0aRP3gc+QPHEhf37lN/giGLXSUNrDpYxaqDVWw7UU8wZJHkdjJ7RCbXjM7mqpFZ+IMhDlY0cbCimUMVTRysaOJoTSvBSIZot8GwzERG5SYxOieJVI+TFr9Fiy9AS3vk5guefR+5tfqCp/fu7IpB6fGnE8fxA5IZNyCFwekJXepdbGjzc6ymJZLEtnKstoWMBNfp647MScLltF+Yz670GmrfnjNNc6thGDM7OtcbelQXEO6ZfLvNwAPAeRO+LtSPVbk+KaMZDl/71g5jyfNuIOHyy8/6xzHY1ETRbbeTc57r7N+xjMGRn6cVWaQ1W7xe+Dp/dz/O8pJVrP/gesDB9/5xLwPrtzOjfBLuZUco/sv/Y0XpKh6d/yjHG4/z5ok3uX/8/R32xLb72/jl0s9z32VfY1DWuHec7wrLsvAfO0ao3YczJxtn+qXxl8etv/sKiXV+Cj+Qwr933cPI7CT+/qnLSYmP48lNx/npy3auSvo7uTvaaanYTWLuxNN1q1asxhMHq6YP4f0rj7Pn3//H1Hu/cdb1g42NVD78IJkf/S9coya84/nXvfRdmh9aQnojbP3hIW695ftRe20vHfkPt68L4Iu3E+cNccP6Vp696lk+PvHjXbtQSw3t6x/hlU1PULHXxWU73Mz0Q0uyg+SDNvatfoH2R59nzC23k/zx79H02muc+KGJrdnHK7NstE9NIFA/lVfes4pbXjnOtk/cw7THn+70XPDuaHzlFUq/sQhr0iS+fHUGrVt+RH5iAkNHJZI70U0S40gMjiXjRBP5q+up+uWvqP3zX8j4+MdJ//B9MUlYgw0NtG7bht3jwZGSgj0lBUeoAXvTYSjfRVP5dpyeNBKu+xZkRGcId6C6moOf+gjW/mKevN7GyTz40Ot12D77X3DVDEb+8OfE5fayxeFaa+HEJmirDa9cmjW6c9uXBANw4GVaVv6GdasOkbnHzUifgwOjU0lp83P55lYcG0/g/eti9gx9jH8Nt3FybDqpoyYwMn0UoyK3gtQCPM5zryTakcDhQpp+9w2ath6hpdIDoXQst4vawW62T/RxMNtO87AcZsy+k/Hp86mrjueFE/U8tLERt7OR9IQ40hPcZCQmk5bgIiMljvQEF+mJrvB9QhxxcQ7sNrDbbNhs4b0XbZGfk21uxrvHMz5zPF5/kJN1bZTUt7Gzro2S+lZO1tVSEjlW0eg9a6/IwRnxTB2czpRBqUy78j1MuOsePHEOrGAQ3/HjtO/fT7C5meR583Cmp2NZ4YVtVh2sZs3hajYU1dDqC+K025g2JI33T82n1Rekud1PkzdArc9iT2kjTd7w4/YOtiQ5xWm3kZ7oIjOSvJ75c2aiiySPk/g4JwkuBwkuB/EuBwmuyGN3DrOm3Ipz+u2dbjfLsghZ4cS0pqWd1YfCPaZrDldT3+rHZoNJ+al89toRXD0qi+lD04lznP1v9ejcs0eQtAeCFFe3nJW8HqpoZuneitPvuyfOTpLbSYLLSaLbSZLbQVp8HIPS4klwOUh0O0l0O4iPc+B2OnA57eGbI3zvPvX41M+OcJkBaR5SPN3bw/VMqfFxTB6UxuRBaT2+loh0rDckqvOAhzo4XgR0mF13s36syvULxz/2cZwDB5Lxp1+QnD+ROKedsu98913rHVr6/OlEFWDxr4P84SPPsHygH7cf9pduZGvxCWxbDtPQnsTJqiNMb4JX1v6Rba5KKpvL+dveJ9j12pPEN/yUBV/+M7bBs/jeuu8xI3cGtw57L689eh9b6g/i9P6AL938R6rXbSTn+mvZt+YP7N67hhHv/wLTc6Zjs9mo+sUPSLrqOuIvu4r6Z57Bd/wEOV/+0un4Kn/yELWPPw5AyO1i+OOPkzB16jlfX0l1Eav3vsIH5iw8ayGJYChIYWUhvqCPOflzOq7sbQB3ytnD7IKB8KIdZ6ywu/zYKn699TEmZI3hlpE3MDN3ZseLVnRiNUPPsYPUPrKG9P/+9uk/Ouw7uZ7yZ14nNQ2esX2ZUTlp/P1Tl5OWEB6edP8VQ3nPhDz+dngyNxZuY81rD3PTR8ILK4XaW8k+0MbhoU4aZ30K77rvUvbyC+9IVPf+z2dwvrCN8heX0/CJy5jz2d8T54qnsbWG3z9+D7MeLyGnBewWNP7maf4nOcCiOWaXFufoiGVZbH/9HywshdwZtbRVubhxWyLGtr9x//j7cdo79yuwbdu/+Mcr36Rlr5urt7sZFYTmudMZ/RWD+IIRrH3tjxx+6o+M29VI6SP/IfSb/2APQvEAePkOFyX+WylpncvdcwZzYl0Or8x/mlteP8y2hR9i+h/+2eEwupDPh3f3Hjxjx3Sr57Xx1dco+drXqcnPwrx2P+WuPQzy+zncbGdHi432M1dxdoD9WoubRjp5/2YI/vKX1P75z91KWC3L4qVDz/HU2l8zfvjlPHDFN8jwZJy/js9H86pVNLzwIk1vvgl+/zvKhGwWrW4bzR6oTgPvazcxdc5VTFzwC2wJ3f+DkvfgQQ584j5CDc088X6oT7yaE4HLePF9fyH3UA23r9vK3huvI/GBjzLiga/FZrSHZRHfUkJo/Z8JHl5HqLiQYOUxQj47NruFJ8MfbqP8aZA/EwbNDN8nn5Fct9ZC4eP41/yBTTtaid/jYZDPzcZRKfyl4ANUpk6mzR8kfrKXa6oLeV/DBiaVljHjcAiW1lCXupptw9fw2mD4a5qNmjQ7KXlDGJk5mlFpbyWwg5IG4TgjYW4pO0H5C/+i9YWncRTVYbNsNGemcOiGAawdHWJ1UilOZyvjUq4mPTiH+opBPPJ8E+2BIwBkJLqYMDCFkGVRUu9ld0kjta2+DveW7IxTSezbe+Gcdht5qZ7Ith5Z5KfHMygtnswkF0eqmtl+op6tR2t5cUfp6fJjByQzZVAaUwanMW36VaQnunjlSA2r3zjO6kPVlDV4ARielchdMwZx9ahsrijIILmDJOntvTK+QIjm9gBNXj8NbX5qW3ynbzUtPmqbw/d1rT72ljZS09xO4znmVXbE5bCT4HbgdtoJWRAKWQQti2Awch+yCJ2+f2f9nGQ3N4zN5ZrRWVw1MovMpK79wc3tdDA2L4WxeSlnHT81ZDfR5cShuZMil7zekKgC1HZwrB5Ii3L9WJXrFwKlpaz/r7sJtKcwZHKA+Fe971onee/JdxwLVvn4QDF8YG2IrfwT/7EyPrE0/KXDF/k/8o6nyvhKBRwuvA13yMl3l4XPFwXuxvulxxj3/X+xZ/xSCtJWMurJfXwf+PcNu1ny+gNMWbGZ9RNdZB/1MaEFvl/xEa699cvcUpdI6+InOfDik1zxzxep/NnPCdbV4Z81gdwrr6Pxr3+n9vHHWTkZCgvsfHCFj7ZPfJjCb/yCQn8m2cluvv++CdhsNhpffZUT//szOF7CJAue+dpB7v3UrwiFQvz3qw+xrf4Vmvx12G12nrv9OQrSCqipb6BsywtUHPkPm3y7We8J4rG7GZY5ilGZE5hXW8awvS8TGnoNjnv/hp8g/7P257y872/ctCdIi20bf3b/g98muLCPnsCssVdyxYDLmJYzDcfmP8Dy/4Erv8CBUZ/iuR0VTBiYwo0TcnE7HViWxZo3/4/43/6GigYbG/a/yqTvPwbuJH7+l8/w1TL41/TZjBw4mD9/bNbpJPWU7GQ34z/5NSi8j7LlW+D+cFK8fclPSWuBrWPG8cUFt7HmeYPBe2qwQqHT29kEGxsJvLaNQ0MgpRUG/G4TD++dif/mWRzZv5X/WhLAFbTx7Tmf5sq6fdy5YzUb/v08H28+zi/m/oKchPP12YO/ogKCQeIGDnzHub01e5m17AQ+j4Vt5micZTV4XggyfVU5y69ezo3Dbjz//8CBdtr/8w3+9fpLTFvtJi4Ay4eP4Z8F76MmLY8RL1cwKreFYZlzGfrFm9nl38iBZf/L4N11nMy2sWvY5Rysej/3X1HAE/PHkJoQx6YxX+OZvwZ47fp/c9PyvRR+/qNM/+0T2BwOrFCI1s1baPzPizS++hqhpibixoxm2B/+gDM7+/yxnqHxxWcoWfQdKnMtvnZXNZn2EL+Pn8mcabdS4XWws9LPhpJWNpU1URMKYXe0MCJzK/tzi3ngjhYKyhx8dFUj4375SyoX/46Uq64l8crZJF5xBXFDh3Y47DDU3k7p6tdY84+HyNpXy7dqwRv3PKtzXyBh3GimzvsIqVNnEDdkCDabDcuyaNu2nYYXXqDh5VewGhvwJjhYNznIyrHhRCfJa5Hd5iDH7yE7lEQmyaT4nAw5dJyUVc2wagMr/nAl9mnDmfSR/0f69CvedRulM1WvWEbJF79Ic1yIlz4AdfGf5fP3fphRuck8tek6Xgm8QcvAPzJtYwOTH/kLa5/5B0P+50cMmf3eTj9Hl/haCFYeo2XVCprXbaT9UBHBxkZCre2k+OCAdeb7fsb/DzZw5SQRn3WS+MRC4jMewZ0SwJY+GPJnQFw8wW3/ZsdBN+xLIKPdw/qRCfxt9K0MHP9evjJrMDeOz8UfDLGrpIHtJ6bw7xN3sP1EPcPKCrmnejkTK4uZtxuu337q/Q3idxRRk3qM8tRX2ZsGK1Jt1KTFQWYeg0pambi7jpEnA9iB8kzYcKWdjWPslOS4cdlsOEKZ2OuvpLZqAmtDCbiddibl2/nwFUOZOjiNqYPTGJQe/47/3yzLos0fpLbFR31rOImra/VR1+LDHwwnWCELQpZ1ujfw1LHwY4v4OAeD0hPIT48nPy2e3BTPOROjG8a9lfBXNnrZcbKB7Sfq2HGigRe2l/L3jcfPKp/icXLVqCy+MCo89HVwRtf/0ORy2slwuro0n9EfDFHX4qM5MiS2zR8M3/vCj8M/h+9b/QHafEHa/SHsdhsOOzhstvDPNhsO+1s/v3UMEt1OrijIZGxe91enPR+3M9w7KiICMU5UI6vmvmsZwzDqe1I/WrF0tdy54u7LRhTZgWYo6Vz50Sfe2TNyxT6LKUfDf6Id8rcN1KS99Y+dK/IH4bGR67teb+LKRBvlAyw8jTZs+5xsfe5nXH/UIr25lmOJrxGfBgGXncsK/SS2b6bVDWN2+2iKtxFIcvC15/08mPEIGdt9TMFGZhls/NJ7yahz4HNC4Xe+QNEYF/NX+tg8Gpa/J5VRFVkcuekAk16Asb/8Iltvei9PtF/H7II0pmx4gob//SvHs+HQ5RbTD8LQ373O/tG/58cndnOyagUT6xOZk5rK79IbePjpe7m3LINpgR38J9PNP5OSuHkHfHOzg+oMP5vG7+YPY/bxSLydQZmZTKjbwLE/zaciwcXAw8f57YtBkppsQDDyLnmBrRzP3srWHBuH2+0MbfSR4k3Ceu4xWh1/ZnxcEn+dVcC3hyczKMOiyVvIzau93NFgozjXxuAVNXxx8QKK8u0s2uDH63YSf/cXeOrWybicHX/Rv/H6abw0NJERe1so27uMARPmc/S1/zDKDld8/FvkpXqoG5nLhEPlHFj2HGNv/AAAW3/0VZLbYdvVo0if9D2aF3+FO1dWsP3ERt530sIfF8+Wr/6MxbddyZHyRqoW3skDS2v46rDd3NN8Dx+b8DGuHnQ1w1OGn/XFyBvwUvjKH0j4zm+x22Dssy/gGj7yrJhffHkx7yuySJ7STPq9T+Frb8O75YPcssXDbwv/cv5EtbYI3xP3s+qNSi47GMfJUbnM/MWfuNqdTl5FM4cqw3Outhyt44UdpeGtLIgHvkni5CJa21KZHj+aF/97AhMGvjXH77LhGaQ+8B3+9YcAb1z9Ejes3Ebhf3+MzEEjaXr5FZzVDfhcNjaNgkMD7Hxo5UH23X0no//yN9xDh547XoCaI9T86otULDnM0QHwvXudXJc2me/d+ggJCVlAeL/G+ZGbPxii8Fgda4/UsLf0JmrKmnA2H8STspx/3HaIUL2PeYU+pq5/nbTXXwfAl5lNcMoM3JddTsLYMdRv3kpg/Vo8uzbj9AcZ54CGATbWD5rCQN9xUupryFh+gOql36Ya8HoSqR88gviaClJrK/A5HBwusPHyjTa2jIACbyLxvuvZ3zyZ2lAyuJwQ+a6e4HIwKD2evNnxDGk9ybD9TzJg/16GLS2m4vVPUpQcR+jKqxgx/1ZSpk3BOXDgOb9M7//DLwn8/FHKsmDnfDeJY/6X/3v/1SS6w/8sfvqaAj42Zxgv73ov/0n9DyVHHmX2+jaaPvFVnpvxPfyThmMbN46kMVNJS84l3ZNOmjuNNHcaHqcHy7LwBr00+Zpo9jXT5K2jqfYwjbVHaGo4hre5ksz2NnLamskuqSfhcDPek3Zaq10QsmGPCxGf5YN0D20DszjmSOFkcgYnXHZqXM00eRpoTa4n3t/OyBIXY0pDjC4KkNSWAqQQcDmwBrhJzdhEq9VO274M4tstNo508cLUm5lz9Ud5fNbQs5IoT5yDK0dkceWIrNPHyhuuYvuJ+3n2eD0th9Yw8cSbjG08QH5zOcFWO+nNTrLq4wmU2vG0B4F24BgA1Zk2Tsxsp2RIEk8l3MxJawIeXwaJFQnEx4WHpY4elMyU2eGkdExe8juGjHbEZrNFhrI6GXSRZ2fkpHiYP97D/PHh5DUUCq9uu/1EPTXN7VxekMmk/NSY9AbGOezkpHjOOx1HRKQviXWP6vnHg71Vpr6H9aMVS1fL1Z95ILIA00IAj8fDihUrOnmpi+NCzMBKbYWS7DgGVJ9aLZHTSeqhETZGHQkwoAJ2TXAy8lDg9MrBAG9OsnHVXkhrgYOzMlnt87NgXRNDXgp/CRpcDYHaAFunxDEodywDX90FQOUt8VQkXINr7DTigxZpDz3M+1cHsDXYqUtxkNwcIGObg8oU2DHTzvzlIUaW+Vg7zsYLN7rZefirtKQnce2VUOP6Pfn/OMhtq14m98YXqHrITuNWOzuG21hxs5v2ylvYmmTx1TefZc+PfsXV8Tau3BfCRiMAY1Jt/GluC47Ueh5LHsPhsir+b42LzKo22kaMJL2smvteqee+V0K0xtmpS7ZoSYpnRmIJ3mA8VxwMEZdsUfv5TxCXZDH8wBPE1VXQWJtEe00aOUfbaY4PcCzJSXMm2HDiDMKQyia+/doOfnOXjRKPxbwSP+/bEEfltEm4PvQRfD/4Ht95tpkVN/mZethF0dwbuCytnnVrVp23PeuvuIoRT73GK3/6AXnzLbIPN1M02E5qdT0rVqwgftLV+F9fwr7Hf025KxN/SxuZr6xh20iYPP3jZCc2wtcNSl58lSmvvEBbZhbNX/4KYzIdHNq+EYC6T3+RrIe+xy+ebebzH8ngZ1t+xs+2/IwsZxYT4ieQ7cxmv3c/iTv38N//9lOTDMltsP3D76f12z+BhPAw1faQj+xn38AXZ+GffTkrDoTXuMy4cgZJT+8he/kO/pr4V4a4h7zjdWZVrWfY+v9j/9pkBjY6WX7tcMbf/VV2lBwHjpMD5CTCnAKgwI4vmEBVm0VFS4jy1hBVrWMZOcTO7IHtVB3cxoqD73wvx824lSOhVlZd/ibXLN9Ck30L2wtsbJhtwz/Ez8RQO1f6gvzxrmTuf66abXfcyqt3f5LcUZMYlmrHaYeaNovK1hBVbRZ5JSvJ/93f8e1yc3iAjV/dnc7HB32McQmj2bRp93nbdXocTB8KDLXT7BvDiaZRnGgKUeGrYvuVL/LyvF20t8DM4hCXH6knf81y7MtfxQt4gJoUG2smQf1gCCXOZU/ibaTFOwiFwOZrYkzgaSrad2DV2JlU0srwkiPUeeJYdaODJRMh5LKY7c/hy6l3MXTYhNPJZVvAorrNorotRHWrRVVbiOq2Nk5UtLLP56Ep9eN4Z4aYe/nLzGxYSfIJP5PefJPK196kEmhKiKM6P4vQ8KG4R4wlrmA8VkICTf98hFGrD7KvAE5ePpSEMV9kYq6NzevXvOO9SQU+NHU0B4b+lH8OWMeVhf9iQmETji07gZ20up/iaA6syw3/Eehoro3SDAcBp4VFCEco/Ac4VwBc/rd+Tmu2mFpkkXjEIrkevMRzMsvGrulu9gxO5WBWLo22RHzuepyeCnCeAE4A4LA8JFp5pNpGAImsGVLPa1Y97dSS3VjHqNIgo0tCjCptxb4dHJabXSMdvDHrKqaNex+fz3Zjt/3/9u48PKr63uP4+8xMFsI2WUggYXPYFBVq2ERZTVgUsWBZXFHQQrVqL1pN6XY4bZVC77W2am3wtt7e9rZV0FqrVUQriE8VQbS4IiWyGfYkKFtCkrl/zAmEZJJMMmcyk+Hzep7zBOb8zoJfz8nvO79tH9s272Nbo/9nBCQDF6cAg/vB4H6UAoeryun0xSd0Ln2f7mUf0PnLrfgrqqg4msDhyizSkorpndaJT3rNwdV1LIvcrjpfGviBSqAUTpRycCsc3BrCzcSoDHsr27aLdaH8R63jyJEjMVcnEGcotvFN8Y2saCeqNRpL/oJ1r23u8WlRKncG0zSXA8shMOtvrM0S9nEIZR650sXVnsNkP9v40ho7R5yg5/rARBurxg7nrYohPPjyL6lsD95DgTKdZoyBpWsB2J17PmmlH5JTfHqMzdEhQ1nr3sglH/nxzfgGG45vYeenT9O3GIzMCvz7E/FUw+TLriLzimv512tfoyIRxsz5LsbgGafOs3d3MeP/8HuqAc+1U2HvAXj1DdJmzuSyaxbyVvF9vJ+UzJaRJWz5fDKzcvvz42kXBLofTbqcvV95Gs+3v0+f33moBt49rxMPX3AtB/f1Z96oc5g1tAcvJRzgshfXUZEAaddNI2XIKN7buAX3a6tY+Ndd7O2awvjSfUwph4Qe6WT96rt0GD+O3SVHWfTjP9Jt5xaGtK/kYq8f9u+lsugDqk4co3P/42QuWU7f8ycH/jGVC2HLC7TfuppuW1+GY4eomvgAG7OvYN3uNxnRsxe9PYlkrPkNxb9az7f/Uk63b4zmwNtFVKUfgxtuIn/KFI737sX2a69j8l89kOhm0gM/xJPW9HcwVSNH8s5zq0jfsp+dma8zthT2jOt3amyVf9SlPLNiBd237mfopaP528K76F4OB8f25K4p00+faPx4yu/8BgmZmUGXANl78jClyx7k168UM2/gvaT2OIQ/4SP+efRNTlZXcPm7ydy0qoLK9Gp2zbmL93f8ibnPlHD84R8xaMXrpHZIZskffsFVW6o4fmEV53x9Oee0Tw+cfNRIPll3EVetr+YP+euZM2nO6Qvv+xD/2mWUPfcy29/1Ut4Onr/tYn54528isqRSyZhRPP2ru1jf9SU8nSvJ8LdnXEV/DlXmYvQcSWKPHtzz5kLWT/2EnJfaM/WPhfwk/2LeS5oGePD7q+nk/pTbdz7FsM2HqSxP5p1+Bp/ePp3n879HSoITswpfh9/v592Pn+L/3lvO4iH7qPb7uepzDwNKU1nZ7SDFaXBX6lC+dfkjuJI7BTnHDPwVx/jHuh/x0I4X2O4uB8rJqDa4NfNiZo76IWmdewQ5rmnllVWUHZvAoS+OUrnp17y/9bfsOQwc8tBp30l67d1Dr617cPEWAEdSDLoe8/Pu4GqOjJ7OzXN/RGoI3SsDc//m8e/9C1n/3sd03PoWKZ/9i+Tdn9F7bwnnvncCl73uZrWrkmoXuKvA8DfcslaVkMCBc/uw8fIeFJ2Xyr7O5Rw+eZCy8gNUlu/CU1XBAK+PfqnjcB1yMWnoJPp6+5KVktVgS3G1v5q9Rw7y0f6dfHJwJ+v2bcd19Chfn/QNbkoLvft4aCad/mPFUdj1Nu22v0G73W9DzkwYfTcXJbXeMkxtmWYOjV+KbXxTfMO3du3aBvdFO1GtSea8DRVoovtsSMdblkU0yjW0r6155ooMOrj3Me2aZ8ivaseYwd3Y+e7VVOzY0eAxXWZ+B9Y/BMDo0eM4UNyfQdPv5rNtbvw/CazDOfqGh1j1x1xKMhOZMvcxtm+5CooPsr9LIpkHKrjt1p/z2t8X88WA1YwbN5uKQ+9z243P8rPXTjBs4jiKH32dyuNuMqd9HVdGT3zjqnB5wDj/zNkMMxYsoHTFClzHT9BrygyMhET27DlE35vuICEzlfOeWc6fN+zkw3/u4IFpgcSztq5Tvka76kSObXyH33Ydzu+LDa4Z1pNbRp1zqtvc7Q8W8tG4PzDg0okkZwTapsdMuRL/9/+D5x+5B9czq9h1QUcmz7+fLpeOx/AEHr0e6R144Ac38K/dZVw5qNvpyueezfC7qTD621CTpAJ4EuH86YGtuhpOHsOd1IERwIja3UKvHULPy/az48Yb+fyRdVBVRc5DP6c4OfDlQbsLLySroIB999+P95oZISWpAO6kJPYN745v3W4Skp8GYND13zq13/Ak8OWAjgx86Use/sWfGPfGa7zng+tu/nm9cyWd0/C6o1lzb6V89Ysc3/whf/EvZvuOnqx2XciqpFuZ9vkaJn+4meTsalIf+S2DB47iSPlcHikbxVdf/ZKX511F8nefIO3Z31PlggvmzYeaJBXAk0Tmnffi//4ykteuYdf4vfQ4uofKNcs4+dZq9m32cnyvl80+g9fnjOLRWY9FbN3ftPaJXP+tR3j+lX+Q3LELvn596ZvZ4cxug0P+Tu/VP6D45ONsX5fF4lVv8fjXitjftz+D3tjIpLdP0OEEbOnj4cS8mVyadwNzvH0cvU/DMMgdOJvcgbPZX7qNp/65hBXG2zzbo5SLXak8mvcQOdnDGj9HYgp5eT9l7MnFvPTWMlyuBCYMX0hCQvNmjq0ryeMmq5ObrE7J0P17DKpYCAc+gUP/pnzvFrZ9/j67Dvyb4/vLOHnIRcIhN1Vd/eTM/i/G5k1t9vX6Znag78RhMPHMf6+/qoqKHTs48a+NlG/eiN/vxujUBVdKCkZSMkZSIq6kZIzkpMASKh070m7w4EZnffb7/afeCWvWrGFUzqgm789luMjumEl2x0zy+7TivH6J7aHP+MAmIiLigKgmqnbSV0bwlkkfDXf5bdbx0SoXLy653uK9ku70GtKfmlSow7ixlPzufynPTiapuP6kSl0HDOew/ecLBg/hqknnAcPJyfyM3QQSVXdCMhNffA+PJ9Ca4b5iDkc/fJgL7v8Fhzd/SIeMdKbe+MvAbLYuF0OyhvD8jf8gc257SGxP+qdTqDxYgqtL4K4633I/JLQLJHO1eNLTybzjTg4/9xztBg/GcLvxPfPMqf1ul8H1I3px/YiGx/91njqVzlOn8p1qP/dUVZOccOZkD4ZhcP5X66//abjd5H9zCY9d2pPp/aaT2bl+ctYzPYWe6XVavroNgvuKGl9uwuWCpIZnY03IyqTXE79lx81zSb7gfDpOmgS1vrVKveF6EnKySRk+vOFrBOGbexeutffR6wPY3s1g8vnjztjfL38S1atWMvJP/0n7E34Ojc0go8vAZl3DMAyyH3yU7dfM4uC7B+lACdNZy3QC99+pv0H243/DyBoAQIek9sz96Qs8f8tELtm8i5eX3c74j4+y53w3gyYsrHf+1K/dTPGjv2bq+i9Y9H8Tuaj0S/qvT6Tvp134ItnFignwed7F/O/UR8+YwTQSUhI9zLqikbGybg9MXkJ25kAy3Xfz0RtduG3Ffk4kHiCl3M+xnifJmHcj+7LGMK4V1vzMTO3DHVP+m/mV5Ww/9DH9Mgc3a1IVT0IyV45uesbwFktMgZxcyMklaRAMJLDh93Oi9HN2bP2ADN9g0rt0c/SyhttNks9Hks8H02c5c84ITFYjIiLSVkS7RRVgI8FbJr3AKw4eH61ybdY9t7g5kOpnw8CLGN/uzBkrMu+9l9TrrqPk0Z9S+tyaU59nrX2Rd5/9Def1u+hUoto1/XQC2KF3YDxg5YTArJmeWklln9m3wsx5GG436WPGBT4MLIR3+rq1ZoBNfeC5M294UMOVw/Rb5pF+y7ym/slNcruMZicu7TztuHvo3c2/mAMJUkJODn1e/Du46o4PC1SCO152WbPPOXDElbyU8x16f17NkYu61zvv0DG38UL3lZy3q5zNveGrM1qWlCR060bfNa9TffgwJ/fupfKDtVRufhXDf4xO9z6O0enMRCOrYzaXPvg/bLn5RiZu+pRqA/ovuDOQ6NVhGAY9v/0D3Pfcy+UvnOTC7cn4DVg9Oo31eT04J+dcnhj5nbCXx3FU7o140vtyQcoNFK8z6FTlJ2NIIu3u+HNgOZJWHiOT6Emif9ZXWvWaYTEMktO6M2BE92jfiYiIiIQgFhLVFQQmoKxrAlDo4PHRKtdmLR96H2mH34Rkb719hsdDYq9eZC7+LxLOfZL9y5YBkJbVm7wFPz6jbO1xcobbTf8Nb+Nq167+OQ0DmrNGYYRbuuJFTTdjx85nGHwxeRiVT6wn++qb6u1P6pTNgXMTOG/XSXZfmkKPPsEek9Cv5fZ6cXu9cO65MGNBo+XP7T6Ukp/+kD13/oh9vRK5Nq/h8h0nX07iw4+Q+9kuOk+fRpc772Rw164tvtdW0Wskrm++RvcuN0FyZ7h6OXTQHJ8iIiISfyIz8KoZ7AmGfJZl+Wo+sywr1963snZZy7JKLcva1pLjo1WuLdlWp46ePWIGKdMeO6NFsy5XSgrp8+byy6kufpd35v9O6wcYvDWg/rHujh0dT56kdV32zZ/x5mPzGH5J8Fbs7AkjWTTXxdQrbmvlO4NLhl5LxsrfM7bw+UbLGW43PZ94gj5/f4Hs++8nIdaT1BrenjD/NZjzrJJUERERiVuxki3kAYtqJaF9TNMM1gyzkeDjP0M9Plrl2oS8p59n3LNXUek36J05gKdTQp8x9Pb8yzlyZM8Zn/15Tk9chou5Tt+oRF2XlC7MH3tvg/uvzF/CyMw/knFR+N2tW2JQTmiTyCR0c3acooiIiIg4IyYSVXuG3IIQygVNAptxfFTKtRXt0vvw3Zzvcf/Bn/OzMT9r1rEXTvrPep+9ePWL+PE7dXvShhgpaWRcfEe0b0NERERE2qiYSFQldnROzubtGzY4ci7DMDDQrJUiIiIiItI8UR+jKiIiIiIiIlKbElURERERERGJKUpURUREREREJKYoURUREREREZGYokRVREREREREYooSVREREREREYkpSlRFREREREQkpihRFRERERERkZiiRFVERERERERiiuH3+6N9D2cly7IOADuifR9BZAAHo30TEjGKb/xSbOOb4hvfFN/4pdjGN8U3fL1M0+wSdI/f79em7dS2ePHijdG+B22KrzbFVpviezZtim/8boptfG+Kb2Q3df0VERERERGRmKJEVURERERERGKKElWpa3m0b0AiSvGNX4ptfFN845viG78U2/im+EaQJlMSERERERGRmKIWVREREREREYkpSlRFREREREQkpniifQMSeZZleYH5QJH9kc80zWWtdbxElgPxzQVmA17AZ5+nwDTNMkdvVJrN6WfPsqz5QJFpmq84cHsSJqfia1nW0lp/PQQs1/MbfQ797l1U6yMvsNQ0zaKgB0irst+nM03TnNDM47yoThXzwoiv6lQOUovq2WEFsNI0zZWmaa4EVlqWtboVj5fIanF87BfqUNM0C0zTXGC/kMuAz+xfphJdjj17djwLnbw5CVtY8bUsy2uXL7Sf4QJgGLC0iUOldYTzbvYSSEoLasW2ACjUuzm6LMsqtL8cGgKkteAUqlPFsHDiqzqV85SoxrlaLSinvoG1/1xmWdaMSB8vkeVAfPJN0zxjxjq7QlQCPO7ozUqzRODZm0XgF6bEAIfi+yr1W9ieJFARlihyIL6LqPOFg90iU0CgNU6ixE5ACoB3mnus6lSxL5z4ojqV45Soxr+ZBH/YNgALWuF4iaxw47OogV+OK4H8cG5MwubYs2dZVj6g7r6xJaz42jH11u3GbbfSKNbRF+7z62vg8zKgTwvvSaJPdar4pjqVw5Soxr98To+DqK0IGNoKx0tkhRufEoJ3bTlEYHyFRI+Tz55X49piTrjxLUBfPsSycONbRPCu+vmoxbwtU50qvqlO5TBNpnR2KAnyWRmhPzThHi+R1eL4mKbZ0Dfzwwj+y1RaV9jPnmVZ8+t2RZKYEU5884ECu2XVZ5/LhyZSiiXhvJsLLMsqtSxrGzDBNM0iy7J8BGlFlzZHdao4pTqV89SiGsdCGbjdWJlwj5fIinB88tHEO1HjVGztiR02OnBL4iAH383pQIlpmsvtSVmWA+/ovRxdDr6bzyGQwGyzLKsQzQ7bpqlOdVZTnaqFlKjGt1BmK2usTLjHS2RFJD6WZd1HYLIHVYiix6nYDjVNc1O4NyOOc+rd7KsdX7sl9RU062+0OfL82vEsBJYRmECp0G5VlbZJdaqzkOpU4VGienZo7MUXrAuK08dLZDkWH7sFbgGQF9YdiVNaHFt1+W0TWhrfmn0bgux7h8AMzxJ94Ty/XsuyCu3W8gICS2VAoHU117E7lGhQneosoTpV+JSoxreaF563oQJNjGUK93iJrEjEZymB8VDNPU6cFVZs7VYXjYeJXWHFt9a+YDEuAbzqQhhVTrybVxCYMKum/CZ7/NtKNJlSW6U61dlHdaowKVGNY/aDUUbwb+98NLGmYrjHS2Q5HR/LslYACzQ7bPQ5ENt8YKa9cPmpjUAFqcD+u9bsixKHnt2iBo6vfQ2JgnDja3/JUBYshqZpzrTLqAtwG6M61dlFdSpnaNbf+LeR4N/eeQltaYNwj5fIciQ+lmUtBZbUfqFalpWr8Y1RtMGjBgAABRFJREFU1eLYNtTl115sfqlmDY0J4T67mwi+nmYaqvDGgnDiWzOLc0P0/LZdqlOdBVSnco5aVOPfCgLTYtc1AXiyFY6XyAo7Pnby8mSQF6gWp44uPXvxLdz4LgGCtYpPIDD7r0RXi+Nrv4sbW1PTp1aaNkvv9TinOpWzlKjGObtlxVe7m1DNRAz2cgbU+rxmzbYWHS+tL9z42msw9gHSLMvKt7cZ9os22C9TaSXhxrYRXsduUlrMgXfzJqCodhdu+/hce/IdiSIHnt+a7vrUKbsUzeocK7yN7VSdqs3zNrZTdarWoa6/Z4c8YFGtB6qPaZoTgpTbSPAuY6EeL9HRovja46BW23+9L0h5tcpEX7jPLgB2hbemheZxy7JmAwVqlYm6sOJrmuYEy7KWWpY1DLtS1ciC89L6Whxf0zSX25Xcwjr7CvXcRlfNmrYE3qley7JWExgzXlinFU11qjaopfFVnSoyDL/fH+17EBERERERETlFXX9FREREREQkpihRFRERERERkZiiRFVERERERERiihJVERERERERiSlKVEVERERERCSmKFEVERERERGRmKJEVURE5CxiWZbXsqzcaN+HiIhIY5SoioiInF0WEVjQXkREJGZ5on0DIiIiUp9lWT6gEBgKeIEiYFOtIl7752rTNJc149QzTNMsaOVrioiINIvh9/ujfQ8iIiLSAMuyCoH5QKppmmV19vmAFQCmaQ4J4Vy5wCLTNGe21jVFRERaQl1/RUREYls+sKluwghgmmYRkAf4LMu6L4RzzSbQYtqa1xQREWk2JaoiIiIxyrIsL4HxpK80VMZOJl8BloZwyhmmaTZ4rghdU0REpNmUqIqIiMSufPvn6ibKbYBT3XKDsiwrn0aSz0hcU0REpKWUqIqIiMSuCfbPjU2US7d/NpY0zsQeW9qK1xQREWkRJaoiIiKxq8GxonXUrIta1Ni5mur2G4FrioiItIgSVRERkRgUyljRWnxwaqKjYOcKqduvk9cUEREJh9ZRFRERiU01Y0U3NFYoxORyAbAk0te0ZwEuAtKAohBbcEVEROpRi6qIiEhsqhkr2lSyN9/+2diyM7mmaW6K5DXttVc3maa50jTN5UCBndCKiIg0mxJVERGR2JRPoFWyrIlyi7ATxGA7LcuaAQTd5/A1Z9VpQV3N6YRWRESkWZSoioiIxJhQx4rarZgAeY0Um03jra1hX9OyrFygpE7RMk630IqIiDSLElUREZHY0+RapvZ40FlAXhMtoL4QJzwK55o+AolpbSUExqqKiIg0myZTEhERiT2z7Z/1Wjcty/IBSwkkh0MaS0Ity5oPPNma16zDG2I5ERGRMyhRFRERiRF2t9qhnF6jdIVlWWX2n732zzKgMMQZdWcSmPG3Na7prfP3NOq3soqIiIREiaqIiEiMME2z0aSyOewxp2lNtX46dM2aJWnqqjtuVUREJCQaoyoiIhKfZhF6t9+wNLD0jZdGxruKiIg0RomqiIhIfFoALG/F6z1lz/5bY0IrX19EROKI4ff7o30PIiIi4iC72++rpmkOaeXr3kegG7CPwDqroYyjFRERqUdjVEVEROLPfEJYO9Vppmkua+1riohIfFLXXxERkfgzDHgq2jchIiLSUur6KyIiIiIiIjFFLaoiIiIiIiISU5SoioiIiIiISExRoioiIiIiIiIxRYmqiIiIiIiIxBQlqiIiIiIiIhJTlKiKiIiIiIhITPl/Bgo+E/+bhpQAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1080x720 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"fig,(ax1,ax2) = plt.subplots(2,1)\n",
"\n",
"ax1.plot(DoD0, E/D0**2, label='E')\n",
"ax1.plot(DoD0, Fa/D0**3, label='Fa')\n",
"ax1.plot(DoD0, Fb/D0**3, label='Fb')\n",
"ax1.plot(DoD0, Fc/D0**3, label='Fc')\n",
"\n",
"ax1.plot(DoD0, E_th, '--', label='th E')\n",
"ax1.plot(DoD0, Fa_th, '--',label='th Fa')\n",
"ax1.plot(DoD0, Fb_th, '--',label='th Fb')\n",
"ax1.plot(DoD0, Fc_th, '--',label='th Fc')\n",
"\n",
"ax1.legend(loc='upper left',fontsize=15)\n",
"ax1.grid()\n",
"ax1.set_ylabel('Growth factor')\n",
"\n",
"ax2.plot(DoD0, (E/D0**2-E_th)/E_th , label='E')\n",
"ax2.plot(DoD0, (Fa/D0**3-Fa_th)/Fa_th, label='Fa')\n",
"ax2.plot(DoD0, (Fb/D0**3-Fb_th)/Fb_th, label='Fb')\n",
"ax2.plot(DoD0, (Fc/D0**3-Fc_th)/Fc_th, label='Fc')\n",
"ax2.set_ylabel('relative error')\n",
"ax2.legend(loc='upper left',fontsize=15)\n",
"ax2.grid()\n",
"#plt.xscale('log')\n",
"#plt.yscale('log')\n",
"\n",
"plt.xlabel(r'$ D/D_0$')\n",
"plt.savefig('odeVScornelius.pdf')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"def get_dot(which,D, fact, D0=1.0, G=G):\n",
" return H(a_as_D(D/D0)) * f_(D*fact) * D/D0 * which(D*fact,D0*fact)\n",
" \n",
"\n",
"dotE_th = get_dot(dotE_SRH, D, fact, D0) \n",
"dotFa_th = get_dot(dotFa_SRH, D, fact, D0) \n",
"dotFb_th = get_dot(dotFb_SRH, D, fact, D0)\n",
"dotFc_th = get_dot(dotFc_SRH, D, fact, D0)\n"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 59.51611875389174, '$a$')"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1080x720 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"\n",
"fig,(ax1,ax2) = plt.subplots(2,1)\n",
"\n",
"ax1.plot(DoD0, dotE/D0**2 , label=r'$\\dot E$')\n",
"ax1.plot(DoD0, dotFa/D0**3, label=r'$\\dot F^{(3a)}$')\n",
"ax1.plot(DoD0, dotFb/D0**3, label=r'$\\dot F^{(3b)}$')\n",
"ax1.plot(DoD0, dotFc/D0**3, label=r'$\\dot F^{(3c)}$')\n",
"\n",
"ax1.plot(DoD0, dotE_th,'--' , label=r'th $\\dot E$')\n",
"ax1.plot(DoD0, dotFa_th, '--', label=r'th $\\dot F^{(3a)}$')\n",
"ax1.plot(DoD0, dotFb_th,'--' , label=r'th $\\dot F^{(3b)}$')\n",
"ax1.plot(DoD0, dotFc_th,'--' , label=r'th $\\dot F^{(3c)}$')\n",
"\n",
"ax1.legend(loc='upper left',fontsize=15)\n",
"ax1.grid()\n",
"ax1.set_ylabel('derivative of Growth factor')\n",
"\n",
"ax2.semilogy(DoD0, np.abs((dotE/D0**2-dotE_th)/dotE_th) , label=r'$\\dot E$')\n",
"ax2.plot(DoD0, np.abs((dotFa/D0**3-dotFa_th)/dotFa_th), '--',label=r'$\\dot F^{(3a)}$')\n",
"ax2.plot(DoD0, np.abs((dotFb/D0**3-dotFb_th)/dotFb_th), ':',label=r'$\\dot F^{(3b)}$')\n",
"ax2.plot(DoD0, np.abs((dotFc/D0**3-dotFc_th)/dotFc_th),label=r'$\\dot F^{(3c)}$')\n",
"ax2.set_ylabel('relative error')\n",
"ax2.legend(loc='upper left',fontsize=15)\n",
"ax2.grid()\n",
"#plt.xscale('log')\n",
"#plt.yscale('log')\n",
"\n",
"plt.xlabel(r'$ D/D_0$')\n",
"plt.savefig('DOT_odeVScornelius.pdf')\n",
"\n",
"\n",
"plt.legend()\n",
"# plt.xscale('log')\n",
"# plt.yscale('log')\n",
"#plt.ylim(-0.01,0.01)\n",
"\n",
"plt.xlabel(r'$a$')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 337,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '$D$')"
]
},
"execution_count": 337,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"\n",
"plt.plot(a, np.abs(D)*5/3, label='D')\n",
"plt.plot(cornelius[:,0], np.abs(cornelius[:,1]), label='cornelius')\n",
"\n",
"#plt.plot(cornelius[:,0], np.abs(cornelius[:,1])/np.interp(cornelius[:,0],a, np.abs(D)), label='cornelius')\n",
"\n",
"\n",
"plt.legend()\n",
"#plt.xscale('log')\n",
"#plt.yscale('log')\n",
"\n",
"plt.xlabel(r'$a$')\n",
"plt.ylabel(r'$D$')"
]
},
{
"cell_type": "code",
"execution_count": 338,
"metadata": {},
"outputs": [],
"source": [
"\n",
"\n",
"\n",
"E_th_cor = E_SRH (D_cor,D0_cor)\n",
"Fa_th_cor= Fa_SRH(D_cor,D0_cor)\n",
"Fb_th_cor= Fb_SRH(D_cor,D0_cor)\n",
"Fc_th_cor= Fc_SRH(D_cor,D0_cor)\n",
"\n",
"E_th_eds_cor = E_SRH (D_cor,D0_cor,0)\n",
"Fa_th_eds_cor= Fa_SRH(D_cor,D0_cor,0)\n",
"Fb_th_eds_cor= Fb_SRH(D_cor,D0_cor,0)\n",
"Fc_th_eds_cor= Fb_SRH(D_cor,D0_cor,0)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 398,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"plt.plot(D_cor/D0_cor, E_th_cor/E_th_eds_cor , '--' ,label=r'$E/E_{\\Lambda=0}$')\n",
"plt.plot(D_cor/D0_cor, Fa_th_cor/Fa_th_eds_cor ,'--' ,label=r'$F^{(3a)}/F^{(3a)}_{\\Lambda=0}$')\n",
"plt.plot(D_cor/D0_cor, Fb_th_cor/Fb_th_eds_cor ,'--' ,label=r'$F^{(3b)}/F^{(3b)}_{\\Lambda=0}$')\n",
"#plt.plot(D_cor/D0_cor, Fc_th_cor/Fc_th_eds_cor ,'--' ,label='th Fc')\n",
"\n",
"plt.legend()\n",
"plt.xscale('linear')\n",
"plt.yscale('linear')\n",
"plt.xlim(10**-5,1)\n",
"plt.ylim(0.9999,1.02)\n",
"plt.xlabel(r'$D/D_0$')\n",
"plt.grid()\n",
"plt.savefig('Fig1.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 454,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 453,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.6666666666666667"
]
},
"execution_count": 453,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"5/3"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.9"
}
},
"nbformat": 4,
"nbformat_minor": 2
}