{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Figs 1,4,5 from Matthews+ 2022\n",
    "This notebook contains routines for reproducing some of the figures from [J. H. Matthews et al. 2022](https://ui.adsabs.harvard.edu/abs/2021arXiv210708040M/abstract), \"How do magnetic field models affect astrophysical limits on light axion-like particles? An X-ray case study with NGC 1275\". \n",
    "\n",
    "<div class=\"alert alert-info\">\n",
    "At the moment, this page is incomplete and minimally documented, but I will gradually add to it. All the plots are missing results from the Gaussian random field models at the moment because I haven't incorporated those models into alpro directly. The docstrings and commenting in these scripts is fairly rudimentary. \n",
    "</div> \n",
    "\n",
    "For limits plots, see the NGC1275 limits page."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Figure 1: Pressure Profile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['serif'] not found. Falling back to DejaVu Sans.\n"
     ]
    },
    {
     "data": {
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558o2Nalu3XrVvPaaal57TY0lJd0eP/O888JQJQAAQJ81N/C8JUibYknTJM2RRPAXJQR/AACgVzEJCUo76USlnXSi8u68Q4eKt6rmtdd0cNUq1a9fH/qAHo8yzpkX/kIBAAD6jhMCz5VB2rSc8stS3ygi+AMAAL1aUsEoJRWMUs6V31LT7t06+Oqrqn75FdWv69ovktO/+EV5srMjXCUAAEDkGWOmSVotaVTLqboh9p8j6Rr5Z+ZVSsqSf3befZ0sz80K4WP4xiuKXLEuAAAAIFwS8vOV/bWvaeSf/6Qxr7+mvLvvUsq0aUH7OF3me6h4qw4VF3feEAAAIAqMMQslrVVoIVzr/s/If/LuMmvtaGvt9MBBHCslrTXGLAnSPZQwz1F9cIYZfwAAIC61hIDZX/uamnbvVvWLK1T1j3/o0McfH27jyshQ+qyZjsbf98gjOvjyy0r7wheUc9VVSj1xhowxYaoeAACgY8aYLEkFgccMSQvVjUDNGLNW/ll+09vO7LPWLjXGFEtaaYzJttZe4rxyRBsz/gAAQNxLyM9XzpXfUsHz/9Cov/9N2d/4htwDBijj7LPlSkoKebymsjIdXLlSklT7xhva/vWva9vll+vgqlWyPl+4ywcAAGirZXbfIvkDv0skLXUykDHmdvlDv6UdLee11q6S9KykBYGZhW2Vt3OtIyEvQYZzzPgDAAB9SvK4cUq+c5xyb71Fvro6R2NU/PnPktd71LWGDRu18/oblFhQoJyrrlLmuefIJCaGo2QAAICjWGvvl3R/62vGmLkdNO9QYObgosDbRcHaSloiaUGgXduQsSXM68qsw1BCQnQTM/4AAECfZDweuTMyQu7nq69X5dPPdHi/sbhYZXffrfrCwu6UBwAAEA2Xtryw1gbdvDgw60+SsgKHgLTW0jcnyBAFgectIVWIbiH4AwAACEHV8uXyVlUFbZMydWqnh4oAAAD0AC379XX1xLKWmX3XtLn+XuA52Iy/lgNAnu3iZyEMCP4AAAC6yFqriief7LRdztVXc9AHAADoDVpm7nU1+GtZptv2N5wtS3/bzgRsbZqkys5mFiK8CP4AAAC6qO7dd3Xok0+DtkkaO0bpM0+LUkUAAADOGGMKWr3tahjX0q51X1lrK+UP/wrajNvyWQsCL68OtU50D8EfAABAF3lyc5V5/nlSQkKHbXKuukrGxbdYAACgXf2NMQM7ekS5lq4cxNHW4RN5AweDHGatvUbSKkkrW98zxkyT9Lj8pwazzDfKONUXAACgi5JGj9bgRYs08OabVf7E71W5bNlRJwN7Bg9Sxrx5MawQAAD0cG93cj+ae4Vkt3pd2WGr4P2P6metnWuMWShptTGm9em9VxP6xQbBXx9gjNnU6m1izAoBACBOJOTlKe+O2zXgmoWqeOoplf/hSXkrKpTzzW/JBJkNGEzlc88pdcYMJQ4fHuZqAQAA2uVkxl+n/a21S3Vkzz/EGMEfAACAQ+6sLA249lplf+Mbqvzb35R1wQWOxjlUXKyyH/1YcrmU/aUrNOC66+TOyAhztQAAAEfJ7rxJRPsjCtiApg+w1h7X8pA0P9b1AAAQb1wpKcr+0pfkSk111H/vz38ueb1SU5PKf/8HbTnrbFU+95yszxfmSgEAANCXEPwBAADEUN2aNapZtfqoa97ycpV9/wfadvkVqi8sjFFlAAAgAj4vKTfII5rKO2+C3o7gDwAAIEastdrzwAMd3m/YuFHbLr1MZT/8oZrL+d4cAIA4UGGt3dfRI8q1ODnQozW+OekFCP4AAABi5OArr6hhw8bgjaxV5TPPastZZ6v8z39m+S8AAAiX1sGdk4M+uhscIgoI/gAAAGLANjZq789/0eX2vupq7fmve1Xy5a/o0KefRrAyAADQR7QO7rp6UEdBywtrbXF4y0EkEPwBAADEQO0776hp+/aQ+9WvX6/iCy/Svkcela+xMQKVAQCAvqBNcNfVGX8t7Qj9egmCPwAAgBhIP+00jXx6mVJOmB5656Ym7X/sMW294ELVrV0b/uIAAEBfsS7wXBC01REt7dYFbYUeg+APAAAgRlImT9aIJ5/U4AcflCc39IP8GouLVfLlr6jsnnvkramJQIUAACDMlhtjNrU8Yl2MpGWB506DP2NM61mByzpsiB6F4A8AACCGjDHKPPccjX5phXKuvlpKSAh5jMq/LNPW885X7b//E4EKAQBAHFva8sIYM6eTtpcGniuttc9GriSEE8EfAABAD+BKS1PuLTer4Pl/KO0LXwi5f1NpqbZ//eva/dOfytfQEIEKAQBAGMy31h7X8oh1MdbaSkn3B95e00nzlvt3RK4ihBvBHwAAQA+SNGqUhi1doqGP/VqewYNC7l/xhye19cKLVL9xYwSqAwAAPVjrpbhdPaVX1to75N+zb0FHs/6MMQslTZO0ylq7tL026JkI/gAAAHoYY4z6nX66Ri9fruyvf01yhfYtW+PWrdp2xZe075FHZDn5FwCAuGSMyTLGFAQeC3RkKa4kLTHGzAncy2qzP197ZktaJWllYKzWn7NQ0hJJz1pr54b1i0DEGWttrGtAFBljxkkqan1t8+bNGj9+fIwqAgAAnakvLFTZD36oQx99FHLf5AkTNPihB5U0alQEKgMAAB0pKirShAkT2l4eb639sLtjG2OmSVobQpdia+3oLow7R/6lvK1nDBZLus9ay0m+vRDBXx/TXvB34X8v05fP/LzmTMhTZkroG4oDAIDIs01NOvC7J7T/17+WPXQopL4mNVX5P/qhsi64IELVAQCAtiIZ/AFdRfDXx7QX/A26arESc4YpwW106pgBmjdpkBZMHypjTIyqBAAAHWksKVHZD3+kuv+EfoJv5vnnKe+HP5I7PS0ClQEAgNYI/tATsMcfDmvyWr320T798d/bCf0AAOihEkeM0PAnfqe8u++WSUoKqW/VP57XtosvVv2mTRGqDgAAAD0JwR8+Y97E/FiXAAAAgjAul7K/9lWN+ttflTxpUkh9G0tKVHL5FSr/wx/Eyg8AAID4RvCHz5g3aVCsSwAAAF2QVFCgkU/9WQNvulHyeLrczzY1ac9P79PO62+Q9+DBCFYIAADaWG6M2dTyiHUxiH8EfzjKpCGZGpadGusyAABAFxmPRwOuvVYjl/1FSWPHhNS3ZvVqbVtwiRo+/jhC1QEAACCWCP5wFKez/SpqG/Wlx9/VH97Zpr3VDeEtCgAAdCrluOM08tln1f8rXwmpX2NJibZddrmqV6yIUGUAAKCV+dba41oesS4G8Y/gD0eZN8nZ/n6vbt6tt7cc0I/+sUkn3bdal/7mHT3x1lbtIQQEACBqXElJyv/B9zX017+SOzOzy/1sfb123XyL9tz3M9mmpghWCAAAgGgi+INazu89bnCGRuSkORrjxcLdh19bK/1nW7nuWb5ZJ9+3WgsWv60/vLOt23UCAICu6Td7tkb9/W9KOWF6SP3Kf/97bf/mt9S8b1+EKgMAAEA0EfxBy645WfdeMFELv1jgqH9lXaPe/nR/u/esldaUVOiVTbvbvQ8AACIjYdAgjXjiCQ34znckV9e/5atbs0ZbL7pY9Rs2RLA6AAAARAPBH5STlqSvnjxC5x8/xFH/VzfvUbPPBm3DScEAAESf8Xg08MYbNPyJ38mTm9vlfs379qnkq19T1QsvRrA6AAAARBrBH7rtpcKyoPddRjrzOGd7BwIAgO5LO/FEjfrrc0qdMaPLfWxjo0pvvVX7HnlU1ueLYHUAAACIFII/dEtVfZPe7GCZb4uTRuVoQHpSlCoCAADt8QwYoOG/+19lf+MbIfXb/9hj2vW9m+Wrr49MYQAAAIgYgj90y6rNe9Tk7WSZ72Rny3xLK+t17qNv6Nevfaqt+2sdjQEAAI4wHo/y7rxDQ37+kExqapf7HXzlFZV85atq2rMngtUBAAAg3Aj+0C1zJuTpwUum6PRxuUpwm8/cN0Y6y+Ey3xWFZfpgV7UeeOUjzXrwdZ398Bv61T8/0ZZ9Nd0tGwCAPi1j3jyNWvYXJY4c2eU+DZs2aduCS1Rf+EHkCgMAAEBYGWuDz9ZCfDHGjJNU1Pra5s2bNX78+G6PXVXfpNVFe7SisEz/+ni/Gr0+nTQqW8uu+Zyj8S567C2t217Z7r1x+f100bQhWvjF0d0pGQCAPs178KBK77pLNatWd7mPSUnRkJ8/pH6zZkWwMgAAer+ioiJNmDCh7eXx1toPY1EP+iZPrAtA/MhMSdBF04bqomlDdbChSauL9iozNcHRWGVV9R2GfpL04e6DWlfS8X0AANA5d79+GvrII9r36KM6sPg3Xepj6+u187rrNeQXv1DGmWdEuEIAAOLOcmNMY8sba+1xsSwG8Y/gDxHRLzlBF0wd4rj/S4W7O21z9iROCgYAoLuMy6Xcm25SUsFolX3/+7KNjZ32SRg0SKnTpkahOgAAAHQHwR96pJc+KAt6P9Hj0uzxeVGqBgCA+Jc5/1wlDh+mHdddL+/+/R22c2dladjjj8szcGAUqwMAIG7MZ6kvoonDPdDj7Klu0JqSiqBtTjtmoNKTnOXW7GsJAED7UqZM0ahnnlZSB3v/mqQkDV38mJIKRkW5MgAAADhB8Ice5+UPdquzbO6cSYMcjf3xnoOa+eDrWvTyhyrcWUUICABAGwmDBmnkn/6ofnPnHH3D5dKQnz+k1Kks8QUAAOgtWOqLHueyGcOUl5GsFYVlWl20R7WN3qPuJ7pdmj0+19HYKwrLVHKgTotf36LFr2/R8OxUnT0pX/MmDtLkoZkyxoTjSwAAoFdzpaZqyMMPa+9DD6n8f/5XkpT/ox+q3+zZMa4MAAAg8owxGZIKAo/sVrfKJbWcNFpsrd0W5dJCRvCHHic5wa2zJubrrIn5amjy6l8f79OKwjKtKtqrmkPN+uIxA9Qv2dlpwSsKj947cHt5nZb8X7GW/F+xhvZP0WUnDNMNs8eG48sAAKBXMy6X8m67TQl5+WquKFf/yy+PdUkAAABhZ4wZKWmOpOmB54IQ+kpSsaR1klZKetpaWx32IruB4A89WnKCW2ccl68zjsvXoWav3vh4vzJTnYV+n+49qI/31HR4f2dFvUrK65yWCgBAXMr+2ldjXQIAAEBYBWb0LZR0jY4O+pwsAxwdeCyQtMQYs07SXyQ93hNCQII/9BpJHrfmTHB+ku+Kwt2dtpk3Kd/x+AAAAAAAoOcKzO5bJH9IJx0J+iolrZJ/1l7Lct5y+ZfzVrUZI1P+5b9ZgecCSXPlny2YJf/MwWmS7jfGLJF0fyyXBBP8oc9ou8y3rX7JHp06ZmCUqgEAoG/wHTokV1JSrMsAAAB9nDHmPkm3yx/2VUp6Wv6gb521dmtXxwkEga3DwNWSHg98Rqb8AeAZki6R9G1J1xhjllhrvxOOryNUnOqLPqF4X40+3H0waJu5E/KU6An9Pwlrrbw+TgcGAKCtQ59+qi1nnKmDq1fHuhQAANBHGWMuMsYckHSH/CHdXGtttrX229ba50IJ/Tpjra0KjHmNtTZb/gDwn5K+bYw5YIy5MFyf1VUEf+gTXt28p9M28yYOcjT2+h2VOumnq/WDvxfq7S37CQEBAJDUuHOntn/rSjXv2aOdN96k6pdeinVJAACgjwnM8ntW0lpJ0621Z1hro/YbSWvtKmvtXEknyH8AyLPGmJ9G6/Mllvqij7jq1FGaNCRTKwrL9Mqm3dpf03jU/X5JHn3hmAGOxl6xsUz7aw7pj+9u1x/f3a4B6Yk647h8nTNpkE4alS2Pm3wdANC3NO3Zq+3f/Jaa9+71X/B6tevW2yRrlTFvXmyLAwAAfYIx5lX5A7dLrLXPxbIWa+06SXONMQskLTXGTLPWnhWNzzbWMjupLzHGjJNU1Pra5s2bNX78+BhVFH1en9V/tpZrRWGZXvpgt/bXHNKFU4foF5cdH/JY1lqduug17aqsb/d+TlqivnTScN1yxrHdLRsAgF6huaJCJV/9qho/3fLZm263Bt+/SJnnnBP9wgAAiLKioiJNmDCh7eVPJR2eiWKtPS6qRfURgdAvW9LstodzxJoxJkv+Jcf7ohH+MeMPfY7bZfS50Tn63Ogc3XPecVqzrVz9khMcjfX+jsoOQz9JOlDbqIMNzU5LBSFdQbwAACAASURBVACgV/EePKgdV13dfugnSV6vSm+7XbJS5rmEfwAAIPyMMb+RVGmtPSPWtbTHWlspabox5hljzGJr7bWR/DyCP/RpbpfRSQU5jvu/9MHuTtucM9nZ3oEAAPQmvsZG7bj2WjVs2tRJQ59Kb79d7ox+Sv/iF6NTHAAAPcd8a+2HsS4izq2M9dLerrDWXmKMuTrSn8PmY4BD1lq9uLEsaJvcfkmaPrx/lCoCACB2TEKC0k48sUttUyZPVsq0aRGuCAAA9EW9IfRrYa19PNKfQfAHOLRxZ1XQZb6SdPbEfLlcJuSxm70+HWr2Oi0NAICoM8Zo4I03auDNNwdtlzJliob99nG509OjVBkAAEDfRfAHOPSvj/d12ubsSc6W+b615YBOuHeVvvuX9Xp10241NBECAgB6hwELr9bAW9oP/5KnTCb0AwAAiCL2+AMcuv70MZp5bK5eLCzTisIybS+vO+r+gPQkzRiZ7WjsFRvLdPBQs/7+fqn+/n6p0hLdmj0+T/MmDdLMYwcqOcEdji8BAICIGHD11TLGaO+DDx2+ljx5sob/9rdy9+sXw8oAAAD6FoI/wCFjjCYNzdSkoZm646xjtam0WisCIeC2A3U6e2K+3A6W+TZ5fXpl89GHhtQ2evX8hlI9v6FUqYluffVzI3TX2ePD9aUAABB2OVddJRmjvQ88qOSJEzX8t48T+gEAAEQZwR8QBsYYTRySqYlDMnXbmceqqOygUhOdzcp7t/iAKuuaOrxf1+hVoptV+gCAni/nyivlGTBA6TNnyp2REetyAABAHDLGZEg6QdIaa211B21Ol7REUkHgUrGk31hrH2qvfTwhPQDCzBijCYMzNHJAmqP+Kwp3d9pmnsO9AwEAiLbM88+XOzMz1mUAAIA4ZIxZJqlC0kpJFcaY/xhjRrRpszhwv0CSCTwKJN0faB/Xv50k+AN6kGavT69sCh78jRqQpnH5LJUCAAAAAPRdxphXJC3QkTDPyD/zb21L+GeMuVrSNa3uH+4eeEyX9HQUy446gj+gB/nP1nKV1zYGbTNvUr6MCX3vwMZmn+oam52WBgAAAABAj2CMmS1prqQqSc9KWhp4rpSULf8MP0laFLh2h/whX//AY7r8geA2SXONMRdGsfyoYo8/oAd5b1tFp22cLvP954d79N1l7+v0cbmaN2mQTh+Xq9RE/goAAPRch4q3yt0vXZ6BA2NdCgAA6FnukPSstfbStjeMMQskLQ0s8S2XNN1aW9Wm2frA43FjzEpJl0v6W4Rrjgl+6gd6kJvmjNX8KYP00ge79eLGMm0uO3pf0hE5qZowyNn2Ay9sLFNDk08rCndrReFuJSe4CAEBAD1W/caN2rHwGnny8zXiyT9wIjAAAGgt21p7Rns3rLXPGmOKJb0naW47oV9blwTaxiV+0gd6mIKB6bpu1hhdN2uMtu2v1YoPyrSisEwf7KrWvEmDHC3zbWjy6p8f7m1z7egQ8MpTR+m2M8eF68sAAMCxmjfe1M4bb5Str5e3slI7v3Odhv32cbmSkmJdGgAA6Bls0JvWrjPGVFlr/9npQNZWGic/aPcSBH9ADzZyQJq+M3OMvjNzjLYfqFOix9m2nK9/tFd1jd4O7zc0+ZSelOC0TAAAwqZq+XKV3nW31HxkX9q6995T6a23acgvfyHjdsewOgAA0IsUh9C2MmJVxBiHewC9xPCcVOVnJjvq+8LGsk7bnONw70AAAMKl/Pe/V+lttx8V+rU4uHKldv+//5K1QX/BDwBAT7fcGLOp5RHrYnqxrcaY41vetH7dyqquDGSMmSr/XoBxieAPiHP1jZ9d5tvWpCGZGp6TGqWKAAA4mrVWex/6ufbc97Og7Sqfflr7H/1VlKoCAAA92J3yn9grY8ynktYaY15u3cBae2d7HY0xi40xy4wxIwOXFkr6TeRKjS2W+gJxrrNlvpLzk4IbmrzyWcvBIACAbrENDap9660utd3/2GNy52Qr+8tfjnBVAABExHxr7YexLqK3s9YWG2NWGWNelVQQuDyjs37GmKslXSP/HoGjjDE/kzTDWntt5KqNLWb8AXFuU2l1p22cLvNdvqFU0+9dpev+tE4rCstU30nACABAe1wpKRr2+FIljBjepfZ7fvLfql65MsJVAQCAnsxa+4D8s/6ek38/v3Zn+HXASDpB0l2SZoe/up7DsE9K32KMGSepqPW1zZs3a/z48TGqCNGws6JOLxXu1ouFZXp/x9F7lk4emqnnrz/V0bjf+N1/9PpH+w6/T0lw6/RxuTpn8iDNOjZXKYlswA4A6LrGnTu17Yor5N23v9O2JjlZI37/hFKmTIlCZQAAhK6oqEgTJkxoe3k8M/5iyxizSNIoSe8FwsO4RvDXxxD8oW0IeOfZ4/Tt00aHPE5VXZOm/2Slmn3t/x2SkuDWd2aO1g2zx3a3ZABAH9Lw4Ycq+cpX5aup6bStOztbI5f9RYnDhkWhMgAAQkPwh56Apb5AHzO0f6qu/mKB/n7dKXrzjlm69ARnPyy9snl3h6GfJNU3edU/LdFpmQCAPip53DgNfezXMomd/z/EW16uHQuvkbeystO2AAAAfRHBH9CHDe2fqmyH4dyKwrKg911GOmtivqOxAQB9W9qJJ2rwQw9Krs6/VW3culU7rr9evsbGKFQGAADQuxD8AQhZZV2j3vwk+P5LJ43K0YD0pChVBACINxlz5yr/Rz/qUtv6NWtVdtfdsj5fhKsCAAC9lTHm9FjXEAsEfwBC9urmPUGX+UrSOZOdnRRce6hZDU2cDgwAkPpffplyrr66S22rX3xR+375cIQrAgAAvZExZqqklbGuIxYI/gCEbHNpddD73Vnmu+y9HZp270rd8NR6vfxBGSEgAPRxA7/3XWXMm9eltgeWLlXF009HuCIAAIDewxPrAgD0Pvecd5yuPHWUXiws04rCMm3cWXXU/e4s811RWKa6Rq+WbyjV8g2lSk10a/b4PJ0zKV8zj81VcoI7HF8CAKCXMC6XBv3sPjXt3aP6NWs7bb/7v+5V4vARSjv5pChUBwAA0LMx4w+AI8OyU/Xt00br+etP1Ru3z9KdZ4/T5KGZkpwv8y2rqteakoqjrrWEgN/+4zpNu3elfvtGcbdrBwD0Lq7ERA199FEljhzZeePmZu266SY1lpREvC4AAICejuAPQLe1DQHnTxnsaJyXCncHvV/X6OXAEADoozz9+2vY40vlzs7utK23qko7rv2OvNXBt6YAAACIdwR/AMJqWHaqMlMSHPV9sbAs6P1Ej0uzx+c6GhsA0PslDhumYYsfk0lO7rRtY3Gxdn3vZtnm5ihUBgAA0DMR/AHoEcqq6rW2zTLftk47ZqD6JTsLFQEA8SFlyhQNfuB+yZhO29a+9Zb2/GxRFKoCAADomQj+APQInS3zlaRzHe4deLChidOBASCOZMydq9xbb+1S24o//lEVf/lLhCsCAADomQj+APQIH+85GPS+f5lvnqOxf/fWNk2/d6VufGq9Xtm0mxAQAOJA9re+qcyLLupS2933/kS1774b4YoAAAB6Hk+sCwAASfrZxZP1nZlj9GJhmVYUlqlwV9VR9087ZqDSk5z9lbWisEy1jV49v6FUz28oVXqSR3Mn5OncyYP0hbEDlejhdyAA0NsYY5R/z4/VWFKi+rVrgzf2erXzpu9q1NPLlDhiRHQKBAAA6AH4aRdAjzE8J1XXzhyt5Tecqn/dNkt3nDVOk4ZkSnK+zPfTvTX6cPfRswlrDjXrb+t36crfr9EJP1mpP/27pNu1AwCiz5WYqKGPPqKEIUM6beurqtLO66+Xt6Y2CpUBAAD0DAR/AHqktiHg3AnOlvmu6OSk4OqGZg1IT3I0NgAg9jzZ2Rq6+DG50tI6bXvok09VdtddstZGoTIAANq13BizqeUR62IQ/wj+APR4w3NSlZrofJlvMOlJHp12zEBHYwMAeobkY47RkJ8/JLk6/9b24MqVOrBkSRSqAgAAiD2CPwBxq71lvm3NnZCn5AR3lCoCAERK+mmnKfe227rUdt/Dj+jg669HtiAAANo331p7XMsj1sUg/hH8AYhbnc32k5zvHdjQ5GWpGAD0MNnf+LoyF1zceUNrVXrb7Tq0dWvkiwIAAIghgj8AceuTvTVB7/dL9ujUsQMcjf3w6k906qLXdN+KIm3cWUkICAA9gDFG+T/6kVKOP77Ttr6DB7Xz+hvkrQn+/woAAIDejOAPQNx69Iqpev3WmbrtzGM1flDGZ+6feVy+kjyhL/O11uqFjaXaVVmvJf8q1nm/ekszH3xd97/8oTaVVhECAkAMuRITNeThh+UZ2Pn+rY1btqj0zjtlfb4oVAYAABB9BH8A4trIAWm6btYYvXTTF7Tq5tP0vTnH6Ji8dEnOl/kW7qrSjvL6o66VHKjTY69v0TmPvKnZD/2fVm7e0+3aAQDOJOTlasgjD0sJCZ22rVm1WvsXL45CVQAAIMZMrAuIBYI/AH3GmNx03TRnrF793ml69Xtf1CljnC3zfWFj8L0Di/fXKi2RA0MAIJZSp05V/g9/0KW2+x/9lQ7+87UIVwQAAGLFWrte0txY1xELBH8A+qRj8vopwR36X4HWWr3YSfA3ID1RJ47KdloaACBM+l96qbIuv6xLbUtv57APAADimbV2daxriAWCPwAIwfodldpVWR+0zdkTB8njIFQEAIRf/t13K2XatE7b+WpqtOvGm+Srq4tCVQAAANHBT6YAEIIXNgSf7Sc53zvQ5+NQEAAIN5OYqKEP/1Ke3NxO2x765BOV3XMPhzQBAIC4QfAHACFYW1Ie9H5uvySdMNLZMt//t3yTLl78tn731lbtqW5wNAYA4LM8Awdq6KOPyHThsI/q55erctmyKFQFAADijTFmtjHGG+s6WiP4A4AQ/PU7p+gvC0/WV04erpy0xM/cnzdpkNyu0A+Lavb69GJhmdaWVOj/Ld+sk+9brUuXvKMn39mmfQcPhaFyAOjbUqZMUf49P+5S2z3//VPVFxZGuCIAABCHsmJdQFsEfwAQArfL6OSCHP3kgkn6992z9aerTtIVJw5T/1T/LJL5U5wt8/3P1nLtr2k8/N5a/7Uf/mOTTvrpKn35t+92OtsQABBc1sUXq/+Xrui0nW1q0s6bblJzRUUUqgIAAHFkRqwLaMsT6wIAoLfyuF06ZcwAnTJmgP7r/In6d3G5pg7r72is5UFOCvZZ6a1PD+jmuaHPJAQAHC33zjtV/8EmNWzcGLRdc2mZSm+/Q8OW/EbGxe/KAQDoK4wxp0uaG3jbMoOvK/s5ZQX69ajNggn+ACAMEtwunTp2gKO+TV6fXv4g+KEhQ7JSNG14j5s1DgC9jisxUUN/+QttvehieSsrg7atfeMN7V+8WAOvuy5K1QEAgFgxxoyUtFJSQTeHCv4NRpTx60sAiLF3thxQRV1T0DbzpwyWMcz4A4BwSBg8WIMffFDqwt+r+3/1a9W8+VYUqgIAALFijMmUtE7+0M9049HjMOMPAGLshY2lnbZxuncgAKB96aeeogHXX6f9j/4qeENrVXrrrRr96ityZ2REpzgAABBtd8m/VLdY0rOS3pN/5l4oG61nS1oqaWS4i+sOgj8AiCGfz+r/Pt4XtM3ogWmaMMjZD5v3v/yhDjX7NH/KYE0ZmsmsQQBoZcC116p+wwbV/uuNDtuYlBTl/eAHhH4AAMS3OZJWWmvP7M4gxpg7JC0LT0nhQfAHADHkchmtvmWmVhft0fINZfrXx/vU6PUd1cbpMt9DzV49+W6JDjY063/e3Krh2amaP2WQ5k8ZrHH5/AALAMbl0uBFi7Tt4gVqKv3s7OvEUaM09JGHlTR2bAyqAwAAUVQgaUEYxqkIwxhhRfAHADGWnuTR+ccP0fnHD1F1Q5NWbtqjFwvL9MYn+9TktZo/ZbCjcf/18X4dbGg+/H57eZ1+/doW/fq1LTomL13zJw/WZScOU26/5HB9KQDQ63j699eQhx9WyZe+JNt0ZL/VfmefpUH3/kTu9LQYVgcAAKLFWrstDMMUS3o8DOOEDcEfAPQgGckJunj6UF08fagq6xr15qf7NXpguqOxlm/oeO/Aj/fU6KGVH+usifkEfwD6vJRJE5X3/e9r9z33SB6P8m6/Tf2/+lW2RwAAoO8oNsZkWGuruzOItXarpG+HqaawIPgDgB4qKzVR5052NtuvrrFZKzfvCdpmXH4/jc3r52h8AIg3WZddqsbt29VvzmylTpsW63IAAEB0rZJ/n7+/xrqQcCP4A4A4tLpor+qbvEHbOF1CDADxyBijvNtvi3UZAAAgNu6TtMYYs9Jae9DpIMaY2ZJetda6w1da97hiXQAkY0yWMWaJMSYr1rUAiA/Blvm2mO9wNiEAAAAAxBNrbZWkuyQ9a4yJq2VRBH8xEgj7phljFknaKmmhpOwYlwUgDlQ3NOn1j/YFbTNlWJaG56Q6Gv9P/y7R6x/tVXOb04cBAAAAdGq5MWZTyyPWxeAIa+2zkh6Q9Jox5kqHw8wNY0lhwVLfGDDGLJR0jaQ1klbKH/oBQFikJ3r01MKT9Pz7pXqxsEz7axo/02b+5EGOxq5rbNZ/v1ikukavctISde7kQTrv+CGaNjyLTfABAAAA9GrW2lXGmKslrTbGLJW0TlK5pMoudM+SP/izESwxZMbaHlVPn2SMqZD/X5DR1triCH/WOElFra9t3rxZ48ePj+THAoiRZq9P/95aruffL9VLH5SpuqFZxkjv3Dlb+Zmhn+b7/IZS3fjU+s9cH5adovOnDNEFUwdrTG5czYwHAAAAHCkqKtKECRPaXh5vrf0wFvUgOGNMhqTVklpO+TIKPcQzkiqstTnhrK07mPEHAHHM43bplDEDdMqYAbr3gon618f7tLms2lHoJ0n/WL+r3es7yuv1q9c+1a9e+1Rv3D5Lw7KdLSMGgN7Ie/CgGreVKGXSxFiXAgAAHDDGZEoqln9SVuulTL1+WRPBHwD0EYkel+ZMyNOcCXmO+lfUNur/Pu5k78ChmYR+APqU+sIPtOt735Ovtlaj/v43JeQ5+zsWAADE1EJJ/eUP/56V9J78y3vLQxijQNIiSaPCXl03EPwBALrkxcIyNfuCz3Q/7/ghUaoGAGLLWquKJ5/UngcelJqaJEmlt9yq4U/8TsbDt9gAAPQyl0laaa09sxtjrDfG5EhaHKaawqLPnuobOFG3whiT5bD/HGPMM8aYLcaYtYHnZ4wx0zrvDQC9z/Pvlwa97zLODw0BgN7EW1WlnTfcoD0/ve9w6CdJdWvWaP/i38SwMgAA4FCB/IewdteWMIwRVn0y+AucqrtW/rXbTvo/I+kZScustaOttdOttaPlP6F3rTFmSfiqBYDY21lRp/9sCz7L/fOjByg3w9negdv214rDpgD0BvUbNmjrhRepZtXqdu/vX7xYdWvWRLkqAADQTdZauy0M4xRLejwM44RN3K9DCMzoKwg8Zsi/bttR4BcYb638J7xMt9aua33PWrvUGFMsaaUxJttae4nzygGg50hOcOu7c8bqH++Xauv+2nbbnH/8YEdjV9Y1au4v/k9D+6fqvCmDdcHUIRo1IK075QJARDR89LG2ffkrUnNzx418Pu267XYV/P1vcmdmRq84AADQHRXGmAxrbXV3BrHWbpX07TDVFBZ9YcZfy+y+RfIHfpdIWupkIGPM7fKHfkvbhn4trLWr5N8IckFgZiEA9HoD0pP03TnH6J+3nKbnrz9F3zpllAb2Szp8P9Hj0lkT8x2NvaJwt5q8Vlv31+rh1Z9o1oOv6/xfvakn3tqqAzWHwvUlAEC3JR0zVhlnzO20XXNZmcp+fA8zmQEA6D1WSZod6yIiwfTFb0iMMYsk3R54299aW9mFPlmSKgJvR1tri4O0nSP/st9Ka23/LoxdIX8oGXTccDDGjJNU1Pra5s2bNX78+Eh+LIA45PVZvbPlgP7x/i65jNGiBZMdjXPZknf0763tLyP2uIxmHjtQj315uhI9feF3VQB6Om9NjbZefLGaSrYHbZc8aZKG/+5/5U5Pj1JlAICepqioSBMmTGh7eby19sNY1IOOBTKfNZKmWmsPdmOc2ZJetda6w1ZcN8X9Ut8wurTlRWfhnLV2lTFGkrKMMXMCswABIK64XUanjh2gU8cOcDxGaWV9h6GfJDX7rCrqmgj9APQY7vR0DXno59p2xRVHHexxmDHKuepKDbzhBpnExOgXCAAAQmatrTTGfFvSP40xp3cn/Otp+Emq61r26+vqjLyWWYThOBUGAOLS8g3BTwqWpIumDYlCJQDQdSkTj1Pud7/7meuegQM1/H//R7m33ELoBwBALxOYtHWN/OHflQ6HmRbGksKCGX9dNyfw3NXgr1z+5bs97h86APQUf38/ePCX6Hbp3EnODg0BgEjK/uY3VPv226p96y1JUvrMmRr00/+WJzs7xpUBAIBQGWOuavX2aUl3GWOWSlqnIzlQx0uVpGz5M6C5knrUnnoEf11gjClo9barwV+xjpwm3FWOTxtuzRgzMMjtTvccBIBo+HjPQRWVBT806/RxucpMTYhSRQDQdcbl0uCf3aetl12mnG9dqf5f/pICW70AAIDe535JmW2uGfknc4U6oavTcySiieCva5wEcof/QRtjsjo6QCSwgWTL+AXyp8ndtTcMYwBARG0/UKectEQdqG3ssM2FDpf5ltc26oFXPtKFU4fohBH95XLxwziA8PMMHKjRL70kV1JS540BAEBP1rJqs61e/4MEwV/XtF6z4SS5zdbRQeAcSUt0ZCpoy71nAr8pLpb0rLX2DkfVAkAvMGdCnt49drbe/HS/nn+/VK9s2q26Ru/h+1mpCZp1bK6jsZdvKNVT/9mup/6zXUP7p+jCqUN04dQhKhjI6ZoAwovQDwCAuFAp/xLd5+TPa4It6+1IgaRFkkaFsa5uI/jrmu4uwT2qf2DDyNHdHBMAer0Et0uzjs3VrGNzVdfYrFc37dFf1+/Sm5/s0/zJgx2f5vvX9bsOv95ZUa9H//mpHv3npzp+WJYWTB+q+ZMHs4QYAAAAQItiSVOttZd2Y4z1xpgcSYvDVFNYEPx1TXd3aWaXZwDoRGqiRxdMHaILpg7R3uoGea2zPXG37KvRhh3tT85+f0el3t9RqRc3lumphSd3p1wAAAAA8aNcXT/TIZgtYRgjrAj+4lOwtXFjJL0drUIAwIncjGTHff/earZfRy6YyknBAAAAAA57RuEJ7YolPR6GccKG4K9rnKztjhlr7b6O7gWmnQJAXPL5rP66Lnjwl5zg0rxJg6JUEQAAAICezlq7WtLqMIyzVdK3u19R+DjbPKnv6e5RzL0qOASA3uq9beXaVVkftM28iYPUL5n9/QDEjvV6tf83S1T98iuxLgUAAMQ5Zvx1TevgzslBH90NDgEAXfC3LizzXTB9qKOxrbUKnLwOAI417tyl0jvuUP3atXJlZirl+ClKyM+PdVkAACDAGDNS0pzA26ettdVB2s6W9DNJv7HW/k/kqwsdM/66pnVw19WDOgpaXlhrw7FBJACgE988ZZQWfrFAuf2S2r0/JCtFJxc42/Hgibe36ZLfvK2n39uhmkPN3SkTQB9krVXV889r6wUXqH7tWkmSr6pKpXfeJevzxbg6AAAgScaYq+Xf629J4LEqWPvAEuFrJJ1pjPnEGDMl8lWGhuCvC9oEd12d8dfSjtAPAKLk2Px+unveeL1z12w9eeWJunDqEKUkuA/fv3j6ULlczmbtPbt2p97bVqHbn9uoGT9ZpZuXva+3t+yXz+fs9GEAfYe3ulqlt9yq0tvvkK+m5qh7de++q/LfPRGbwgAAwGHGmFvlD/Eel2QCj+md9bPWrrPWXirpMkmvGWNmRbTQELHUt+vWSZqmVjP5OtHSbl1kygEAdMTtMvrC2IH6wtiB+skFzXrpg916Zs0OXTxtiKPxNpdWa1PpkRn+9U1e/XX9Lv11/S6NyEnVZTOGacH0ocrt5/w0YgDxqe6997Tr9jvUXFbWYZu9v/yl0j7/OSWPHx/FygAAQAtjTKakuySNkjRa0sLArS6f0GutXWeMOUHSK8aY6cGWCEcTM/66blngudPgzxjTelbgsg4bAgAiLi3JowXTh2rZNZ/TiJw0R2M8u3Znh/dKDtTp/pc/0uqivU5LBBDHmvftCxr6SZKamrTr1tvka2iITlEAAKCtuyQ9bq2tttaut9a6JPW31oZ0Qm9gxehzOhIcxhzBX9ctbXlhjJkTrKGkSwPPldbaZyNXEgAg0hqbffr7+8EPDUlNdGv+lMFRqghAb5Ixb54yzpvfabvGLVu094EHo1ARAABox1RJf2l9wVpb5XCsJfIv++0RCP66yFpbKen+wNtrOmnecv+OyFUEAIiG1z/aq/LaxqBtzp08SOlJ7J4BoH35P/yhEgZ3/suBij/9STX/+lcUKgIAAG2cYK19PxwDWWu3quvbxEVcXw3+Wi/F7eopvbLW3iH/nn0LOpr1Z4xZKP9egKustUvbawMA6D2CLfNtcdmM4VGoBEBv5e7XT4MfuF9ydf6td+nd31fzgQNRqAoAALTS3xiTEY6BAvsFdvVg2IjrE8GfMSbLGFMQeCzQkaW4krTEGDMncC+rzf587Zkt/3HOKwNjtf6chfJP6XzWWjs3rF8EACDq6hqb9c6W4D+Aj81N17Thzv6/bi0nAgN9Rer06cpZeHWn7bz796vsBz/k7wcAAKKrWNIJYRprTmC8HiHugz9jzDRJFZK2BB7P6OjkdY6klYF7FZLWBhvPWlsZCPXmSrrGGLO25RG4Nt1ae0n4vxIAQLSlJnr01l2n676LJmn6iP7ttrlsxjAZYxyNf/nSd3X7sxu0YUdld8oE0EsMvO46JU+a1Gm7mtdeU+Wyp6NQEQAACFinzrd166q7AuP1CIbfJvYtxphx/5+9+w6PqkzbAH4/M+m90GsKSFPpggii+RaApQAAIABJREFUAraVVVHQz14pdlHBsmtfFVB31RUFLGsHwbbq6i5gB0GkKRCkJLQQIIT0PjPP98dMSALJzGQyc2YmuX/Xda7JnPOe9zxBLh3veQuAjLrntmzZgj59+vipIiKi4JGZW4Ila/dhydp9OFRciVCzYPWDY5EUHdbkvjZlF+KCl346+v6kzvG4clg3jO/fCdFcL5CoxarMykLWhEug5eVO20lEBFI//hjhaakGVUZERN6WkZGBvn37Hnu6j6pu9Uc91DjHcm7/BTBZVV9vRj+vArgZwDhV/cZb9TUHg79WhsEfEVHzWaw2fPtHLjJzSzBldLpHfTz82Sa8/fPu487Hhofg4kGdccWwbujdwSvLjBBRgMn/8EMcePgRl+0i+vVDygfvQ8Ka/uUCERH5H4O/4OKYyTkAwDxVvaWJ96bAPsN0EIB1qjrU6wV6qMVP9SUiIvK2ELMJ4/q29zj0q6i24pP12Q1eK6604O2fd+PCf65AcUV1c8okogCVMHEiYsaMcdmuYvNm5P7zZQMqIiIiIgATAQjsy7pZReQVEZnQ2KYfIpIiIjeJyH9hXz5uEIACRz8Bg3OJWgER2VznLb8yJiLys6825aC4wuK0zQUnd0JsRKhBFRGRkUQEHZ98Apm/bYQ197DTtnkLFiBm1EhEDQ2YgQNERNQ8n4tIVc0bVe3nz2KolqpmisgQAL86Tk12HHXX9C5Awzv21jQYo6q7fFhmk3HEHxERkcEW/rLXZZsrh3czoBIi8peQxER0eupp1w1VkT1zJqxFRb4vioiIqJVT1XUAegBYD3uYd+yR2Mj5dQDSVXWDH8p2isFfK6Cq/WoOAOP9XQ8RUWuWmVuC1VlHnLbp0zEOA7s29EUiEbUkMaNGIvHqq122s+zPwYHHnzCgIiIiMsD4Y/4fnQKMqmaq6mAAk+B6d95lsG/kMURVs3xfXdNxqi8REZGBftzufFofAFw5rFvd6QRE1IK1u2c6ylb9jMrtO5y2K/riC8SMHo348RcYVBkREVHrpqpLACwRkXgAQwCkwT7NNxNAgaou92d97uKIPyIiIgNdOyIF/73rdFw3IgWx4cd//xYdZsZFAzt71Pf+gnK8v3oPyqqcrx9IRIHDFBGBTs8+Cwl1vabngcceQ3V2wxsDERERkW+oaqGqLlfVBao6R1U/CpbQD2DwR0REZLheHWLx6J/7YfVDYzD7kpPRv0v80WsXDuyMmAYCQXe8t3o3Hvzkdwx/ajme/GILdueVeqtkIvKhiF690Hb6dJftbCUl2D/zfqjVakBVRERE1BIw+CMiIvKTqLAQTBraFZ/dNhKf3zYS/3dKV1w5zLNNPSqqrfjAsWlIUYUFr/2UhTOe/Q7Xv/kLvvvjEGw29WbpRORlSddeg+gRp7psV/brr8h74w0DKiIiIqKWgMEfERFRADipSzyennAy+nWKd924AV/+loMjpVX1zqkC3/6Ri+veXIOznvsOyzMOeqNUIvIBMZnQ8emnYY53/e+A3BdfQvnmzQZURURERMGOwR8REVEL8PbPu5xe35VXhshQsyG1EJFnQtu3R4fHH3fdsLoa+++bAVt5ue+LIiIioqDG4I+IiCjIbdhbgI37Cp226dEuBqemJxtUERF5Ku6csxE/YYLLdlWZmTg0Z44BFREREVEwY/BHREQU5N5auctlm2tP7Q4R8X0xRNRs7R98EKFdu7psl//+Byj5/nsDKiIiIqJgxeCPiIgoiOUWV+LL33KctokJD8HFg7oYVBERNZc5JhqdZs8CTK4/qu9/8CFY8vIMqIqIiIiCEYM/IiKiIBYbEYInLzoRfTvGNdrm0sFdEBMeYmBVRNRcUQMHos3UqS7bWfPykPOXv0KVO3cTERHR8Rj8ERERBbGIUDMmDe2KL+8YiSVTT8X4/p0QYqo/pffqU7t71LfNpnjg49+wcsdhhgpEftBm2lREnHyyy3Yl336Lgg8XG1ARERERBRsGf0RERC2AiGBIShJe+r+BWHn/WbhzTE+0jQ3HqJ5tkN42xqM+l289hA9+2YsrXluNC19egS9/y4HVxgCQyCgSGorOs2dBoqJctj34zDOozMoyoCoiIiIKJsJv8FsXEekNIKPuuZvmfo3kdh3duv+kLvG4cljTR448+MnvTq//39BuOKlLfJP63JRdiEVr9jpt42wde1dL3DdnEXxXt4qTp//1gj5Nfvan67OxJafI3qvU9i9i/z17dYjFhQM6N6lPAJj73Q6o1vQjR/uTY55hf5U612r//Greo951qb2vbn917pV6fR9zz7HXj6kN9d4LTAKYRGAyCXp3iEX7uIgm/TmUVFpwoLCith+x928y1fbdLjacGydQwKmy2HCktAod4pv2d77G5fN/xqrMI/XOdU+Ows2j0nDp4C6ICDV7o0wiciF/8WIc+OvDLttFnHgiUj54HxIaakBVRETkSkZGBvr27Xvs6T6qutUf9VDrxAV/CF9n5MG82+JW2+IKi0fB3/ur9zi9flp6myYHf7vySvHOqt1NriXQPTz+uP8wuLQ046DTxf3P7dfBo+Bvzn//QEv7buDvl/XHxQObtsnByh2HMfmdtU7bbHvyPISFNC34u3vRBny+cX9tkHhMSBliqn011zlCTPbwMcQsMJtMMAsQYjLZr5kd1xq652hfJphNtffUbWM2CcwiMJsFoSYTQs2CELMJYWYTQkMEoWaT46j7c+372IgQdEl0PTKFjBEWYvI49Nu8v/C40A8AdueV4S+fbsI/lm3DLWf0wA0jU5tbJhG5kHDppSj5/nuULFvutF3Fpk3IfflltLvrLoMqIyIiokDH4I+oJXARznk6EK2lhX6APVRrKndmNpo8+DO22BQWm8LlP8AgclqPZLx30/Am33fFglUorrAgPMSE8FATwkPMCA8xISLU/vrn/p0wokebJvVZabHicEkVokLNiAyz98NRme57/SfnUwYPl1Qhp7DcoGqIWjcRQccnnkDmxo2w5h522jZv/gLEjBqFqMGDDaqOiIiIAhmDP6JWgFlHLU+CH3eWRPAsUGw5gV+NULNnS8duySlCQVl1o9f7dYprcvC3NacYF7684uh7kwBRYSGIDDMjKsyMyFD7a1RYiOPVjMh6P5sRFWq/Hh0egtiIEMREhCA2PASxEaGIiQhBdJi5RYaJh4oq8PnG/U7bhJoFN45MM6giIgpJTESnp57G3ptvdt7QZsP+GTOR+tmnMMd4tr4nERERtRwM/sjnuI6k76kPRoy11H9unozMc2fEnyfZT0v8Mw4xeRb8VVbbnF4PD2n6WnJlVdZ6721qX6+xpNK9pQ3cIQLEhNcPA2McIaH9CEVMuP1cfGQoEqLsR3xkmOM11OOw1Jfe/nk3qq3O/35eNKCzx9OIicgzMaNGIvGqq5D/7rtO21VnZ+PgE0+i06xnDKqMiIiIAhWDv1ZARDbXeRvmt0LIZ1zlR842E/G0z2Dli5F5Ip6NJLQ5z7qCUlPXOQTsAWilxeq0TXho08Ox8mrvBXyNUbWvfVpcYQEKKzzq49hQMCEyDPFRoUiIrH2fHBOG5JhwJEeHoUN8hE/DQovVhg9/db5xEgBMGc3RfkT+0O7ee1C66mdU7djptF3hZ58h5ozRiDvvPIMqIyIiokDE4I+oBXAZ0nkyGs2jSgKfZyP+nP9peBImutNvMPIkkLLY1OWoSm+M+AtUNaMQswvcWy/vi9tH4sTOTdsMqSlCzCb8+7aReHNlFt5ftQfFDYyQHNunPXq0i/VZDUTUOFNEBDrPmYOsSZcB1Y0vkQAAOY8+hsiBAxHaoYNB1REREQUWEXkawDxV3eXvWvyFwV8roKr9an4Wkd4AMvxYDvmAq6m+nsRSLXEaKuDpGn/Or3sSJgLuTSEONp5M9a20uB766MmIv2AJ/pqqTUx4k+/5cM1eLFm7D+3jI9A+Nhwd4iPQLq725/ZxEYgIrQ1XO8RH4IHz+uDWM3vgvVV78MaKLOQWVx69Pu0Mz0f7ZeaWILVNdItcG5HIKBF9+qDdXXfi0JxnnbazFRZi//0PoNsbr0M8XIqBiIgoyM0EcBjAc/4uxF8Y/BEGdYlFXHLtovnOQo5eHTwb4TEiPbne+2OfkRTd9BnISdFhGJaa1Oh1p5mKi8DFVZDm7M/IVZbji0AtJTkaJ3eJh2pt7aqOA0DnxEiP+u2WFAWFHu3L3q/9CUff11w/eq72/bHta35GY9fr3ttg//Wf7QnfTPX1LMBoieGqJ1N9K6tdB3ThIR5M9W2hwZ8n/77842Axftl1pNHr7ePCsfrBscedj4sIxbQz0nHDyBR8si4b83/IRFJ0GAZ3b/zfvc4UlFVh/Es/IaVNNG4/qwfO7tsBJk+Tc6JWLun661Hyw48oW73aabuyVatw5F9vIfmG6w2qjIiIKOAM9XcB/sTgj/DM+B7o06ePz/oXEbx/83Cv9zsivQ1GpDdtl8+W6oHzvf/PL8Rswg8zzvR6v96m2nAweGwAalOFTbXeqCZ3jendHl/fNQo2m72fuv01Z7ruzaenYXz/To5+avpWWG21/VusCqtNYVX7q8Va87MNFpvCaq1zzaawOV6tdQ6LzQarDbX31LvW8HOqrbajr9XWmlebyw0fPBnxV+HOiL8WPNW3KeIiQhDmQQh6sMj5+oOdE5x/ORAeYsblp3TDxCFdkVdaO/Jvw94CxEaEoGtilFt1vbFiF0qrrNi8vwhT312HE9rH4I4xPXH+iR0ZABI1kZhM6PTM08i88CLYioqcts39+98RPeJURPTubVB1REREAaMAwEQReVpVN/q7GH9g8EdEQU1E6uyo65vgID4qFPFRoV7vd3hasutGAUbVHhZWW22otiiqbbajP1dZbYiNaPp/VqLDzLjjrB6otNgchxUV1fbXymr7uUQP/vzLq3y/uYfRPJnmC7gR/CVGudWP2SRoF1u7k+/dizYg63ApTGIfWZySHI2U5Gh0T45CaptodE+ORrckeyhYVFGNf63IqtfftoMluO399ejdYQfuHncCzu7bnlOAiZogtGNHdHz0EWRPv8dpO62uxv777kPKkiUwhXv27xEiIqIgJgDWicilqvqJv4sxGoM/IiJym4gg1Cz2TTy8tEd4QlQYpp/dyzud1XHFsO4Y3astyqqsKK20orzagrIqK8qrrChzHOVV9nNl1TXnLfWulzmuu7MOoRGSYzz7Qz9YVOn0uqsRfw2xWG3Ye6QMgH29yr1HyrH3SDl+3H64XjuzSZCSHAWTCIoqGg5jtx4oxpR31uL8kzpg7pWDm1wLUWsWd/75KP7uOxT9+3On7Sq378Ch555DhwcfNKgyIiKigKGwh38fiUg+gHkA5reWDT8Y/BERUYvUIT4CHeIjXDd0Q5XFhlLH7rtFFdUoqbD/XFxhQXGlBSUVFhRXVNeeq7CgpLLa8Wp/X1heDWszd3RJjm76SB1VdWPEX9ODv+yCcljc+H2sNsXO3FK3+uzTIQ7VVptHu0MTtWYd/vpXlP+6FtX79zttl//2O4g5fTRiRp5mUGVERER+lwB78DcFwDIA4wBMBjBTRNYBeFVVX/djfT7H4I+IiMiFsBATwkLCkOjBxho1VBUllRYUlFWjsLwaBWXVKCivqvO+ynGuGoWOa/ll1cgvrToasHky4q+wvNrliMUuHoz425VX1uR7XHlu6Ta89M0OnNAhBn07xtmPTvHo0zEWsRHen25P1FKYY2PRafYs7L76Gpc7YOU88ABS//0ZQhITDaqOiIjI7+ar6oKanwHMF5E02MPAOSIy33H+1Za4DiCDPyIiIgOICGIjQhEbEYquTbhPVVFUbsHh0kqPdjd2Nc0X8GzE367D7o3ia6oqqw2bsouwKbv+ZgXdk6PQt2McTuwcj4FdE3BSl3iGgUR1RA0ZguSbb0be/PlO21lyc5H74ovo+MgjBlVGRETkd0uPPaGqmQBmwj7ybyzsowDXi8hOAK8CWKCqznfPChIM/oiIiAKYiDRrg5nYiBDcemY6DhZV4mBRBQ4WVeBAYUW99fY8WeNvV55vgr/G7M4rw+68Mny16QAAQATo0TYG/bsmYIDj6NUhltOEqVVre9utKF2xAhWbNzfaJv7CC9Fu+nQDqyIiIvIfVXX54VBVlwFYJiLxAC6DPQScLSLLYB8FGNQbgoi6mA5ALYuI9AaQUffcli1b0KdPHz9VRERE/lBeZcWh4gocKq7E0JSkJt9//Zu/4Ns/cn1QmefCQ0xHRwSekpqEoSlJzZqeTRSMKjMzkTXhEmhF/bU9TXFx6PjYo4g77zw/VUZE1PpkZGSgb9++x57uo6pb/VEPuc8xFXgmgImwrxG4CMAsVd3t18I8wBF/RERErVBkmBndk6PRPTnao/uzC8q9XFHzVVpsWLs7H2t35+O1n7IAACe0j8HQlCSckmo/OsY3fXQjUTAJT0tD+/tn4sCjjx09FzV8ODo98zRCO3TwY2VERETBwzEVeAqAKSJyKeyjALNEZC3sU4EXB8tUYI74a2U44o+IiLzBalPsLyjH7rwyZOWVYvfhUuzKK8WuvDLsyStDldX5hiL+0jUpEkNTkjAsNQmn9WiDLolR/i6JyOtUFfum3YLSFSvQ9u67kXTdtRATp8ETERmNI/5aFhFJgD0AnAwgFcAS2KcCf+vXwlxg8NfKMPgjIiJfqwkFMw+XYvvBYuw4VILth0qw7WAxiuusLRgIUttE47QeyRjZoy1OTU9GfCQ3DKGWwZKXB8uhQ4jgZzwiIr9h8Ndyicgg2EcE3gwgH8A82HcP3uXPuhrC4K+VYfBHRET+oqo4VFyJ7QdLsP1QMbYfKsGOgyX442AxCsur/V0ekqPD8OtfxkJE/F0KERERtQAM/loHEXkGwAzY1wIMuA1BuMYfERERGUJE0D4uAu3jIjCyZ5uj51UV+wsrsGV/kf3IKcSWnCLsPWLsOoLD0pIY+hERERGRW0TkJthH/Q2qOQVgLICxIrJTVU/wW3F1MPgjIiIivxIRdE6IROeESIzr2/7o+cLyamzNKcKWnCL8nl2I3/YVYsehEp/VMbJHW5/1TURERETBT0QGAHgAwKU1pxyvesz7b4ysyxkGf0RERBSQ4iNDMSwtGcPSko+eyy+txPkv/IScogqvP29kjzauGzVAVTlSkIiIiKiFEpE42Df0mAIgreY07GGfOn4WAOsAzFPVBf6oszEM/oiIiChofLXpoE9Cv25JUeiW3PQdfncdLsX/LViFc0/sgPNP6ojB3RJhMjEEJCIiIgp2IjIB9rBvbM0px2vd0X0FAObDHvhlGVuhexj8ERERUdDolhSF3h1isfVAcaNtJp+eitEntMPqrCNYk3UE6/bko9Jic9pv3TUHm+KrTQeQU1iBN1fswpsrdqFtbDjO7WcPAYelJjEEpKCjqqjasQPhPXv6uxQiIiLDOabyTgEwCUBCzWkcP7pvGYBZqrrcH3U2BYM/IiIiChoje7bBl3eMwqfrs/H80m3ILqi/AUibmDDcMeYExISH4DTH1N0qiw2/Zxfil6wjWJ2Vh1+yjqCsylq/Xw+n+X61Kafe+9ziSryzajfeWbUbHeMjcOGAzphxTi8GgBQULHl5yPnLX1G6ciVSlyxm+EdEREFPRNYAuFlVNzhp09hUXqD+6L5MAPMAzFfVQt9U7H0M/oiIiCiomE2CSwZ3wZ9O7oi3Vu7CP7/ZgeJKCwDgnrN7ISa8/sebsBATBndPxODuiZh2RjqqLDas35OPFTsO48cdh7EpuxAj0pMbepRTe4+U4bd9jX/myymswPo9+Qz9KCiUfP899j/4EKx5eQCA7PtmIOXDRTCFhfm5MiIiomYZDGAIgOOCPxE5C/awr7GNOmrO1UzlXe/DOn2GwR8REREFpYhQM6aMTselg7vgH8u2Y+3ufEwa0tXlfWEhpqObhkw/uxdKKy2IDg85+uqurzcdcNlmwqDObvdH5A+28nIcmjMH+e9/UO985datyH3hBbS/7z4/VUZERNQwEUkAMAvATFUtcOOWmlF8EJEU2MO+yXA9lXeeqn7ktcL9hMFfKyAim+u85de2RETUoiTHhOOJi05ElcUGswej66LDQ1BpsWL8Sz+hf9cEPHBeb7SLi3B537HTfI8VFmLCuSd2bHI9REYp37wZ+++bgarMzAavH3njTcSMOh3Rw4cZXBkREVF9jrAvDcBlqA3tZsG+uYYrM0UkEfaRf4NqunS8BtVGHZ4w+bsAIiIiIm8IC/H8Y80bP+1C5uFSfLI+G2c++x1e+zETFmvjG4LkFJZj3R7nnzPH9mmH+MhQj2si8qXqgwex+/L/azT0AwCoYv/MmbDk5xtXGBER0TFEZDKA5bCP1FvTxNtrPrBNhn3ab0OB3xIA41Q1SVXvb0mhH8Dgr1VQ1X41B4Dx/q6HiIgokBworMBL32w/+r60yoonv8zAn/+5Ahv2NhzuLc845LLfiwZ4Ns13dWZeo88l8pbQ9u2RePXVLttZDh5Ezl//ClV12ZaIiMgXVHW+qg5W1SmquqQ5XTleBcB62IPERFWdFAy783qKwR8RERG1ak/9J+O4XX4BYEtOES6euwJ//XQTiiqq61274pRu+GjaqbhxZCo6J0Qed29CVCjO6NXO43ouenkFLnx5BT5dn40qS+MjD4mao+1ddyK8d2+X7SoztsJ6+LABFREREfmMACgEMBtAuqoOUdUFwbQ7r6cY/BEREVGrtTozD//euL/R66rAO6t24/Uf68/4MJkEg7sn4a8X9MVPM8/EZ7eehimj046GgH86qaNHU4+37C/CRsdOwRv3FuCuRRtw2qxv8Pel23CouKLJ/RE5YwoLQ+c5syHh4Y22iTv/fKR++glC2rY1sDIiIiKvm9xSp/K6ws09iIiIqFWyWG145N+bXbbrnBCJKaPTGr0uIujfNQH9uyZg5jm9sWbXEbSJbTxIcWbhmj3HncstrsQLy7dj7nc78KeTOuLGkWk4qUu8R/0THSu8Z0+0u/deHPzb3+qdl6godPjLXxB/8UUQafqmOURERAEiAcAsVX3N34X4C0f8ERERUav03uo92Hqg2GW7xy/sh6gw974rNZkEw9KSkd42psn1lFdZ8cn67EavV1sVn27Yj/H//AlXLFiF77flct018orEq65E9OjTj74P79sHqR8tQcKEixn6EREFGREZJCL5jl1wPbl/rIgsFpGdIrLW8bpYRAa5vjtgNXVDkBaFwR8RERG1Smf1boez+7Z32ubcfh0wpo/zNt7yn99zUFxhcavtyp15uPaNX3D+iz/hsw3ZTncgJnJFRNDpqacQ0rYtkq67DikLFyI8NdXfZRERURM5dr9dC/soN0/uXwxgMYBFqpru2FAjHcBSAGtFZJ73qjVUq941jVN9iYiIqFXqmhSF+dcMwQ/bcvHIvzcj63BpvevRYWY88ue+htXT0DRfVzJyinDnwg2Y/fUfuGlUKi4f2g2RYWYfVEctXUhyMtK+/ALmuDh/l0JERG5wjOhLcxxDAUyGh4Gfo7+1AAYBGKyq6+peU9X5IpIJYKmIJKnqRM8rN9xgVV3v7yL8iSP+iIiIqFU7/YS2+OrOUbhjTE+EmWs/Gt1zdi90jD9+x15f2HGoGGt25Xt8f3ZBOR77fAtGzf4WC37IRFmVeyMHiepi6EdEFFRqRvfNgj3wmwhgvicdicgM2EO/+ceGfjVUdRmAJQAudYwsbKyvtGYcHgeXjWntoR8ACNeGaV1EpDeAjLrntmzZgj59+vipIiIiosCxM7cED33yO0oqLfjs1pEwm4xZ32x/QTnm/5CJJWv3oaSy+aFdcnQYJp+ehquGd0d0OCd4EBER+UNGRgb69j1u9kAfVd3qi+eJyCwAMxxvE1XV5RRXR9hW8+1juqpmOmk7FvZpvwWqmuji+Z5yWbeI5MMedjqttzlEJA72cHUoakdWrlHVc49pNxDAhwBeVdXnfFFLczH4a2UY/BERETmnqsgvq0ZSdJjHfRwprfLo/uKKany0dh/e+nn3cVOPPZEUHYabRqXimlNTEMMAkIiIyFBBEvxNBjAPAFTV5TeeIlITIo1zjAI0nK+DPxF5GscHmAJgp6r2bKD9WEf7VACXqupGb9fUHJzqS0RERFSHiDQr9NuTV4bRs7/Fk19sQUW1tUn3xkaE4rrTUrF8+mi8ef1QnNGrrcd1APYAcvbXf+D02d/i9Z+ymlwPERERtXg16/W5G6DVhIlTfFCLX4lIvIisgT3EkzpHIYAGp0AD9mnQqno2gGkAvhGR/kbU6y4Gf0REREReYrUp7l28EcWVFrz2UxYueOkn/Lav6RvJmUyCM3u1w7+uPwXL7xmNK4Z1Q1iI5x/bjpRW4YkvtmDMc99j8a97YbVxxgcREREBAMY6Xt0N/o44Xgf5oBZ/+xDAYNiDvtmwj2o0qWqSqg5xdbNjBORlsK+FGDAY/BERERF5yRs/ZeGXXUeOvt9xqAQXz12Jvy/dhmqrzaM+09vG4KmLT8KKmWfhtjN7IC7C8ym72QXluG/Jbzj3Hz/g600HwCVfqLlUFfkLF6Lg40/8XQoRETWRiKTVeetu8FfTLs1pK2N4bTMQERkDYByAeY6g735VXd7Ufhzh33oRuclbtTUXgz8iIiIiL9h2sBhz/vfHceetNsULy7djwtyV2H6w2OP+28aG495zemHlA2Pwlz/1Qcf4CI/72n6oBFPfXYuL5q7E6sw8j/uh1s1aUIB9t9+OA48+hgOPP47KHTv8XRIRUTBIFJG2jR0G1+JJcHZ0KoMvduF1xfHMmud6M3ycAmCJqk7zQl/PIICmQjP4IyIiImqmaqsN0z/cgCpL46P6fs8uxAUv/YT9BeXNelZMeAhuGpWGH2acidmXnozuyVEe97VxbwEum78K095diz15Zc2qi1qX0l9+QeZFF6NkmX0whFZUIPvuu2Erb97fbyKiVmAlgENODiMl1fm56Ws0nPpYAAAgAElEQVST1L/fZ0RkrIjsdGzqkQ97rQUAFouIOq7NauZjBqL5OxIDAFR1HQJjRCQABn9EREREzfbSNzuwKbvIZbsJg7qgU0KkV54ZajZh0pCuWD59NJ6b2B+pbaI97uurTQcw9vnv8fR/MlBUUe2V+qhlUosFuS++iD3XXQ/LgQP1rlVu34EDf/ubnyojIiIPNHfEniEj/hybZ6SraqKqiuO15mdxXJvZzMckqeoub9TrYPhoyMYw+CMiIiJqhvzSKrz+o+tlcbomReKhP/Xx+vNDzCZcMrgLlt59Ov5x2QCktfUsAKyy2jDvh0ycOec7vLtqNywerklILVd1djZ2X30NDs99BbA1/PejcMlHKPz8c4MrIyIiDzV3xJ4hI/4MIl7rSGQg3F8z0ecY/BERERE1Q2J0GD699TSc1Dm+0TYiwHMTByAm3PONOVwJMZtw0cDOWHr3aLxw+QCkeDgFOK+0Cn/5dBP+9OJPWMX1/6iOyp07Ub5+vct2OY88isrMLAMqIiIi8ppMEbnYS309AGCdl/pqNgZ/RERERM3Us30sPr5lBO4a2xNm0/FfGN80MhWnpBrzpbjZJLhwQGcsnT4aT150ItrGhnvUzx8Hi3H5/FW4e9EGHCqu8HKVFIxiTj8dSdde67KdlpXZ1/ur4N8bIqIGjADQzslhpCMGPy+QfQjgNRGJbU4nInIJgEsALPJKVV7A4I+IiIjIC0LNJtw19gR8cssI9GgXc/R8z3YxuOfsXn6p56rh3fHDfWdixrm9EBfh2WjDT9ZnY8yz3+PNFVmc/ktod890RJx8sst2lX/8gYPPPGNARUREQSdfVXMbOwyuxZMNPepqScHhPNin+64Vke6edCAiN8MeIK5T1Y+9WVxzMPgjIiIi8qKTuyTgi9tH4qaRqQgzm/D8pAGICDX7rZ7IMDNuOaMHfpxxFqadkY7wkKZ//CuutOCxz7dg/D9XYO3ulvQZn5pKwsLQ+fnnYIp1PSCiYOEiFH31lQFVERGRh+r+R92TzSiaGxwGDFUtBHA/gB6wT/tdKCJnubpPRFJE5CYR2Q7gVcfpm31YapOJqvq7BjKQiPQGkFH33JYtW9Cnj/cXGyciImrtcgrL0THeO7v4ekt2QTlmf70Vn23Y73Efk4Z0wUPn90V8VKgXK6NgUrR0KbJvv8NlO1N0NFI//ghh3T0aPEFEFNQyMjLQt2/fY0/3UdWtvnieiMwCMMPxNlFVnQZzIpIGYKfj7RJVnejGM9YCGAQAquq1DTEChePP8D4AdcOyAtg36xgEYAnsIWkSgDTUBqY1fxaXBtJoP4Aj/oiIiIh8prmhX9bhUths3v2StnNCJF64fCA+vmUEBnbz5Mt94MNf92HM89/jP7/ngF8it05x48Yh8aqrXLazlZYi++7psFVVGVAVERE1harW3XnW3Q8FNe0CZtdab1LVmQCmwh7k1RyJcISdAC4FMNbxPrFOmwIAgwMt9AMY/BEREREFpH35Zbjo5RW48a01yC/1fmgyqFsiPp42Ai/+30B0io9o8v2HSypxy3vrMPmdtThQyE0cWqN2M+5DRL9+LttVbNmCQ7NmG1ARERF5oGb32TQ329e0C5hda71NVecDSAewoM5paeAA7IHfbFVNUtX1hhbqJgZ/RERERAGmymLDre+vR2F5Nb79Ixd/evFHrNuT7/XniAj+3L8Tvrn3DNwz7gREhDb9o+HSLQcx7vnv8d7q3V4fnUiBzRQWhs5/fx6m6GiXbfPfew9F//2fAVUREQW8z0Vkc83h72JQu/usy+BPROqOCgyYXWt9QVWzVHWKqpoAjAMwG8B82Kf6zgcwE8A4R+B3vx9LdYlr/LUCx/zLJAz2xSqP4hp/REREgeXxz7fgjRVZ9c6FmAT3n9cbN45MhYhvltTZe6QMT3yxBf/bctCj+09JTcJzE/uja1KUlyujQFb01VfIvnu6y3am2Fj7en9duxpQFRGR/zWyxt8OAEeH8quq66HTbmrqGn+OexIA1Hy7OE5VlzlpOxn23W8LVDWxufW2VCISp6pF/q6jBkf8EREREQWQrzflHBf6AYDFpnjyywxMeWctCsurffLsrklRmH/NELxx3RB08yC8++NAMcI82DWYglvceech4fLLXLazFRcje/o9UK73R0St23hV7Vdz+LsYRzhYsx7DFBfNa67P9F1F/iMicV7o4xLUBqkBgZ/MWoFj/qUy3t/1EBERUcN255XiviW/OW3zvy0HcdHLK3CoyHfr6p3Vuz3+d/fpuGtszyYFeY9f2A/t45q+XiAFv/YPPIDw3r1dtqv4/XccfPZZAyoiImqV6k7FTXL3JseGFusAXCoiYxtq4xjtNwjAMscaeC1Rvojc2Mw+3F0r0TAM/oiIiIgCQEW1Fbe+vw7FFRaXbbsnRyE5Jtyn9USEmnHX2BOw9O7TMapnG5ftzzuxA/7cv5NPa6LAZQoPt6/3F+V6pGj+2++g6OuvDaiKiKhlE5EEEUlzHJcCmFTn8jwRGeu4lnDM+nwNGQNgGYCljr7qPqdmiu8SVR3n1V8isAiAIc3sw9WoScMx+CMiIiIKAPsLypFX4noKZPfkKLxw2UCYTb5Z5+/450Xj7RtOwfOT+iMhKrTBNm1iwvDkRSf6bO1BCg7hqano8NhjbrXNefAhVGYeP6WdiIjcIyKDYJ9SutNxLEb9EX9jASx1XMsHsNZZf6pa4Aj1xgGYIiJraw7HucGqOtH7v0lAKYD9z63JRCRORNbAPuLP5dqKRmLwR0RERBQA0trG4Ms7RmH0CW0bbRMZasb8q4cgvpEAzldEBBMGdcGy6aMbHNX3t4tP8vkIRAoO8eMvQMLES122s5WVIfvOO2ArKzOgKiKilkdV16mqNOFId7PfZao6TlUH1zkmquo6X/9OASKtqdN9ReQsAFmwT4UOOAz+iIiIiAJEUnQY3rxuKO47pxcaGtA3Z+LJ6NUh1vjCHNrEhOPF/xuI168dgo7x9rX8JgzqjHP6dfBbTRR42j/4IMJ79nTZrnL7DuQ8+ihU1YCqiIiI3CIAZouIWx+4ROQV2EdW1h1t6WpataEY/BEREREFEJNJcOuZPfD+zcPRLrZ2FN2U0Wm44OTAWENvTJ/2WDp9NKadkY5Hxvt9Q0IKMKbISHR+4R8QN9b7K/r35yhYtMiAqoiIiFxKAKAAEgEsd9ZQRAaIyHYAk2EPCwXAep9X6AEGf0REREQBaHhaMr68YxSGpSZhZI82uO/sXv4uqZ6Y8BDMPLc34iM9n3a8cW8BbDaO9mqJwtPS0PGJx91qe/BvT6H8900+roiIiMgtmQBmAkgSkYUNNRCRp2FfMzEN9sBvHexrIA4BMNVxLmAw+CMiIiIKUG1jw/HuTcMw96pBCDG3rI9t6/fkY8IrK3Hdv9bgUHGFv8shH4j/05+QeOWVLttpdTWy77wTlvx8A6oiIvK7z0Vkc83h72KoniUApqrqHFXtAXv491TNxTqj/GagdpTfLFUdoqo1o/0Wwb4ZSsBoWZ8giYiIiFqYULMJcRHGbubhayWVFty5cAOsNsUP23Jx/gs/YeWOw/4ui3yg/cwZiOh/sst21fv3Y//990NtNgOqIiIiOp6qTlLV5XXenw3gbBG5R0TuRf1Rfpmwj/J74Jg+Cuv2EQgY/BERERG1YHklldi4t8DfZdTz8KebsOdI7W6uh0sqcdXrq/Hi8u2c+tvCSFgYuvz97zAnuF7nvPT7H5A3f74BVRER+dV4Ve1Xc/i7GHJpLICHAMxC7Si/earao84ov4DG4I+IiIiohaq0WDH13bWYOO9nfLYh29/lAAA+XZ+Nj9cfX4tNgeeXbsO1b/6CvJJKP1RGvhLaqRM6zZkDiOslj3JffAmlP/9sQFVERESuqWoBgCEAigDkA5ioqtMaay8iqY6dfgMGgz8iIiKiFkhV8dAnm7BmVz6qLDbcuXADnl+6za8j6vbkleEvnzrfxOHH7Yfxpxd/QmFZtUFVkRFiRo1Em1tucd3QZkP2Pfei+uBB3xdFRETkBlXNBDAG9tF+v7pongb7Tr8Bg8EfERERUQs074dMLFm7r965F5dvx+0frEdFtdXweixWG+5ctB4llRaXbc87qQPio1rWuoYEtLllGqJPO81lO+uRI8i+8y5oVZUBVREREbmmqutgD/SWiUisk6au17YwWIi/CyAiIiIi7/rf5gOY9fXWBq99+XsOcgrL8dq1Q5EUHWZYTdkF5ThQ6Hr33v5dE/DAeX0MqIiMJmYzOj07B1kTLoElJ8dp2/ING3DwmWfQ4eGHDaqOiIhaGhGZ4OUubQAKASwXkYZG9aXBvhZgQBFVLqDcmohIbwAZdc9t2bIFffrwAzYREVFLsGV/ES59dSXKqpyP6kttE423rj8F3ZKjDKoMKCyrxsyPfsPXmw80eD0uIgRf3jEKXZOMq4mMV75xI3ZddTVQ7Xo6d8ennkLChIsNqIqIyPsyMjLQt2/fY0/3UdWGv50jrxKRIwDijX4sgHxVTTb4uY3iVF8iIiKiFqKgrAo3vbXGZegHAOVVVoSYXW+24E3xUaF45apBeHR8X4Q28OznJg1g6NcKRPbvj/YzZ7rV9sCjj6L8d+frQhIRETXiCGp34jXqCDic6ktERETUQsRFhOLSwV3w4jc7nLaLCQ/Bm9cPRaeESIMqqyUiuO60VAzolohb31uH7IJyAMDk09Mwrm97w+sh/0i88gqUr1uHov/8x2k7rarCvjvuQOpHSxCSlGRQdURE1EIUAFAA6wEscrz3pXTY1wEMqHX+GPwRERERtRAmk2D62b2Q3i4G9y35DVUW23FtQkyCV64ahD4d4/xQYa0BXRPwnztG4Z7FG5BfVo37zunl13rIWCKCjk88joptf6Bqx06nbS05Ociefg+6vbYAEsL/fSEiIrdlAhgI4CxVLTLigSKSCeAVI57lLk71JSIiImphLhzQGYsmD0ebmPDjrj094SSM6tnWD1UdLz4qFAuuGYI3rx+KUDM/lrY2puhodHnxJZhiYly2LVu1Coeee96AqoiIqAU5AiDTqNDPwfm3WX7AT1hERERELdDAbon49NYR6NGuNlS5e+wJmDikqx+rOp6IIC4i1N9lkJ+Ep6Wi02z3NkA88uabLqcGExEFgc9FZHPN4e9iWri1AJYb/MwjsE8tDhgBt6uviAwAMBb2udFpdY6GFMCR4DqOnQDWqeo3BpQalLirLxERUetSWFaNye/8ipTkaDxzyUkQCch1pz322Oeb0TkhEjeOTG1xv1trkvviizg81/XMKImMRMrChYjodYIBVRERNU8ju/ruAFBV80ZV+xlaFLU6fl8kQ0RSAEyBPewbVPeSG7cnOo50x3t19AkA6wAsBfChqm7wTrVEREREwSU+KhRv33gKTCItLhh7d9VuvLliFwBg28FiPHnRSQgL4YSWYNTmtttQvnkzSr//wWk7LS/HvttvR+riD2GOjzeoOiIirxqvqlv9XQS1Hn4Z8ScicQAmwR74DUL9kC8T9tCuZgTfEdSO7Ku7A0sCgKRjXoc6+qs7QlAd/cwDsMDgud0BhyP+iIiIqCVYueMwrn7jF1httZ9lT0lJwitXDUJyA2sbUuCzFhYia+IkVO/Z47Jt9OjT0fWVVyAmBr1EFLgaGfHXh8EfGcnQ4M8R+M2CfXvjmrBvGewj85aoapYXn5UKYByAiQDGOE4r7AHg/a01AGTwR0RERMEu63ApLnp5BQrLq4+71iUxEq9fOxS9OsT6oTJqropt27Drssuh5eUu27a5ZRra3nGHAVUREXmGwZ9/iEiKqu7ydx3uMKJWw74iE5F7AeTDPspvOYCJqmpS1bNVdY43Qz8AUNUsVZ2vquNU1QTgbADfAJgKIF9E7vHm84iIiIhaqjd+ysLm/YX+LgMAUFhejRvfWtNg6AcA+/LLMWHuCizPOGhwZeQNESecgE5P/c2ttofnvoKi//3PxxUREVEQmh8MmY+I3AT74DSf8nnwJyIDRGQ7gNkAFgBId4R9H/n62XWp6jJVHQf7moDPApgjIttEpL+RdRAREREFk3dW7cbjX2zB5fNWYXVmnl9rsVhtuP2D9cjMLXXarrTKipvf/hVv/7zLkLrIu+LOOw9JN9zgVtv99z+Aij+2+bgiIiIKMpMATBORuf4upDEi8gyAmbDPUvUpnwZ/IjIB9vX6smAP/KZ6e2RfU6lqoarOhH1dwI0A1onIjf6siYiIiCgQfb5xPx7+bBMAoLjSgmve+AXLtvhvJN2GvQVYseOwW21tCjz82Wb87cstsNmMX9Oamqfd9LsRdepwl+20rAz7brkFlvx8A6oiIqJgoKoFAIYAOFtEfhGR7v6uqYaIpIjIfwFcAuBsI5ah81nw50gvX4N9Su/Z/g78jqWqBao6EcA5sI/+C9gkmIiIiMho32/LxfQPN6DuctCVFhumvLsWn2/c75eahqQk4Z0bTkF8ZKjb9yz4MQu3fbAOFdVWH1ZG3iYhIej83HMI6dTRZVtbWRmqs/3zd5KIiAKTI/wbDKAQQGYgTP11LIG3E/aBaEOMysl8Evw5Qr+xAFKNntLbVKq6DPZdgE9h+EdEREQErN2dj6nvrEW19fiRclab4s6F6/Hxun1+qAwY0aMNPr31NKS1jXb7nv/8fgBXvrYaR0qrfFgZeVtIUhK6vPgSJCys0TbhvXsjdcliRJ7Yz8DKiIgoGDhmfI5D7XJveSJyj2PjWUOISJyI3CsieXAsgaeqQ1XVsMWTvR78ich9AAap6hAjf5HmcIz+GwKgjYg87e96iIiIiPzljwPFuOFfa1DuZIScTYF7Fm/Ewl/2GFhZrdQ20fjkltMwqmcbt+9ZuzsfE+auwK7DztcHpMASeWI/dHj8sQavxZ57LlLefw+hnTsbXBUREQUTx3JvQwDsAjAH9g1fF4rIxb54niPsmyAii2Df5HYW7EvgDVbVqb54pjM+GfGnqmf7ol9fU9VJAI74uw5vE5HNNQeAz/1dDxEREQWu91bvbnTH3LpU7Zto+Et8ZCjevG4orhuR4vY9u/LKcPHcFVi7u8V93GvREi66CEnXXVfvXNu77kTnvz8PU1SUf4oiIqKgoqrrVHUwgKmwB4CTACwREauIrBGRpx1hXUpT+nWEfANE5CYRWeQY2ZcPYDHsG3cUApjqGBy33pu/k9s1qnKx45bOEfjVCAPQo+71LVu2oE+fPsYWRURERAHJalP85dNN+MDFaL6Z5/bGtDPSDarKuXdW7cYjn22Cu3t4hIWY8MJlA3DeSa7Xj6PAoBYL9k6ZivL169Hp2TmIPessf5dERORSRkYG+vbte+zpPqq61R/1UC0RGQv7rrpjHKca+hRRAPvgsJpXwL4+XwLsS8Yd122dn5cBmBcIy98x+GtlRKQ3gIy65xj8ERERUV2qijn//QNzv9vZ4PW7xvbEXWNPMLgq55ZnHMRt7693OkW5LhHg8QtPxNXDA2ajP3LBWlgIS24uwnv0cN2YiCgAMPgLfCISD/seFZfDHgImeNhVAexh31IAHwbS0ncM/loZBn9ERETkrrnf7cDsr/+od27aGemYcU4viEgjd/nP7/sKccNba5BbXOn2PXeO6Ym7xvYMyN+HiIiCWyPB3w4AR3ebUlXuThRAHEFgGuxrAqajNghMqtOsZhTgTgC/AsgMpKDvWCH+LqCpRCROVYv8XQcRERFRS3fLGT0QHmLGE19sAQBcf1pKwIZ+AHBSl3h8cssIXPfmGuw4VOLWPS8s347DJZV4/MITYTYF5u9FRERExnAEeOsdR4sQVMGfiIwB8D8AZn/XQkRERNQa3DgyFeEhJmw9UISHL+gbsKFfjS6JUfho6ghMefdXrMp0bxOP91bvQV5JFf5x+QBEhPJjJhER+dR4TvUlI/lkV19fE5E4f9dARERE1FpcNbw7nrzopIAP/WrER4XirRtOwcUDO7t9z9ebD+C6N39BUYXrHY2JiIiIgkWwBX9HYN8lZaK/CyEiIiKiwBUeYsbzk/rj9rPc3whiVeYRXDZvFQ4VVfiwMvKH8t9/R/WhQ/4ug4iIyHA+m+orIq+idltkd2Wq6jlutJsvIrNRu52yMwWqOrSJdRARERFRkBMR3HN2L3SIj8BfP90Emxt72mXkFOGSV1finRuGIaVNtO+LJJ8r+uor7L//AYT36oXub78FU0SEv0siIiIyjM9G/KnqVAAfw74LSjrsu6I09LMAWA5gNoCpTXhEoqOfukf6MYcAmNz834aIiIiIPFVY7t/ps1cO6465Vw5CmNm9j757j5Tj0ld/RkYO95MLZqqK3JdfRvbd06GVlaj47Tfsf+ABqM3m79KIiIgM49Opvqo6E/aAbg7sIVzN96yFsAd96araQ1WnquoCVc1q4iPkmOPoowHMcPTdYnZiISIiIgo2u/NKcf4LP+Llb3f4tY5zT+yIt244BbHh7k14OVxSicvnr8L6Pfk+rox8wVZZif333ofDL/2z3vnir77G4X++7KeqiIiIjOfzNf5UtdARAE6BPZybpapJqnq/B0FfjZrgcMoxx2wAyxzP4ac0IiIiIj/KOlyKy+evQnZBOeb89w+8+v1Ov9ZzanoyFk4ZjjYx4W61LyyvxlWvrcbKnYd9XBl5kyU3F7uvuQZFX37Z4PXDc+ei8IuGrxEREbU0Plvjry4RuQnADACDvTQC7yZV/djJ8wYB+FBE0lX1QS88j4iIiIiaYGduCa5YsAoHiyqPnnvmq60IMQluGpXmt7r6dYrHx9NG4Oo3VmN3XpnL9qVVVlz35hq8cuUgjOnT3oAKqTmqdu3C7htugGV/jtN2OQ8+iLAunRE5YIBBlREREfmHz0f8icglAGYBGOKl0E9hH9XXeAPVdQCGAJgqIv298EwiIiIictOOQyW4fH790K/Gk19m4P3Ve/xQVa1uyVFYMnUETuwc51b7KosNU95Zi39v3O/jyqi5zG3awhzr+p+rVlVh7223w5Kba0BVRERE/uPT4E9EUgHMhz30K/RWv6rqcqVlVS0AcD+A17z1XCIiIiJybvvBYlw+fxVyi48P/Wo89Onv+GxDtoFVHa9tbDg+uHk4RqQnu9XeYlPcuXA9PvjFv6ElOWeOiUbXuS/DnOz6n2vCJZe41Y6IiCiY+XrE36sAnmnGWn7HSmpKY1WdD2CwiKR46flERERE1IjyKiuuen01Dpc0HvoBgCow/cON+GGbf0dbxUaE4s3rh+Kcfu5N4VUFHvj4d7z2Y6aPK6PmCO3cGV1f/ickLKzB6xIaik6zZ6Hd3XdBTD6fAEVERORXPvsvnWO031hVnePtrpvYfhmAS71cAxEREREdIzLMjIcv6AezyfXHtb4d43Bi53gDqnIuPMSMl68YhAkDO7t9z5NfZuD5pdugqj6sjJojcsAAdPzb3447b05KQre33kL8n//sh6qIiIiM58uvuKYAWOLlPn8FMK6J9yz14B4iIiIi8sCfTu6Iv182AM6yv1NSkvD+zcOQFN3wiCyjhZhNeHZif1xzane373lx+XY88UUGw78AFj/+ArS55Zaj78N79kTKhx8iatBAP1ZFRERkLF/u6jsWwEJvduhYJ3B5E2/LBOC/reOIiIiIWpk/9+8Em01x94cbcGwuNvqEtnj1qsGIDDP7p7hGmEyCx/7cDzHhIZj73U637nljRRaqrFY8/ucTYXJjlCMZr81tt6IyKxNaVo5Ozz0Lc0yMv0siIiIylC+DvwTYQzd/K0AT1wYkIiIioua5aGBnlFZZ8NAnm46eO/+kDvjHZQMRFhKY66qJCGac2xuxEaGY9fVWt+55d9UeVFsUT084ieFfABKTCZ2eeQYSEgIxB1bYTESt1uciUlXzRlX7+bMYavl8+akrUEbZJTgOIiIiIjLQlcO644HzegMALh3cBS9eHrihX13TzkjHExedCHEzx1v0617cu2QjrDZO+w1EpvBwhn5ERNRq+XLEXwECI/xLg70WIiIiIjLYlNHp6Nk+Bmec0C6oRsRdPbw7YsLNuHfxb24Feh+vy4bFqnh+Un+EmAM/3CQiIr8Zr6ruDSsn8gJffirJBDDUh/27axwCY8oxERERUat0Vu/2QRX61bh4YBfMvXIQwtwM8v69cT9u/2A9qq02H1dGRERE5B5fjvjLhH2DD38bC2Cxv4sgIiIiouBzTr8OeP26IZj89lqUV1tdtv9q0wHc8t46/POKgQgP4fTSYKeqEHfnfBMRUVASkQEAhgBIh32puJp9Imp+PgL7TNKa150AflXVDcZX23S+DP4+BHCJiFysqp/48DmNEpGbASiARf54PhEREREFv1E92+Jf1w/F9f9ag7Iq1+Hf0i0HMfWdtXjlqsGICGX4F6xsZWXIvm8Gok8bgaQrrvB3OURE5EUichaAKQAubUYfALAMwKv+yr3c4bOpvqq6BIAAeMBXz3DDTEctH/uxBiIiIiLykKpC1f+bZgxLS8Y7N56CmHD3vjf/9o9c3Pz2ryh3IyikwGPJzcXua65FyfLlOPjk31D83Xf+LomIiLxARAaIyHYAS2EP/aSZx1gAS0Rkm4icaexv4x5fjvgDgI8ATBCRG1X1dR8/qx4ReQb2jT04zZeIiIgoCFltioc/24RuSVGYMjrd3+VgcPckvHvTMFz9+moUV1hctt+wpwB7jpShV4dYA6ojb6ncvh17pkyBZX+O/YTNhuzp9yDl3XcQ0bevf4sjIiKPici9AGbBHtjVlek4ajaGPdJIFzVTgNNgnwacVqevHgCWicgMVX3Oa0V7ga+DvxkALgEwX0R+VdWNPn4eAEBExjierXCM+iMiIiKi4FFRbcVdCzfg680HAABtYsJxyeAufq4KGNA1AR/cPBxXvb4aBWXVjbaLDjPjrRtPYegXZEpXrsS+O+6EraSk3nktK8PeqdOQ8uEihHbo4KfqiIjIU46caLbj7XwA81R1vRf6jTDCidEAACAASURBVAcwCcBE2Ef/zRaRAqMHvznjy119oapZAObAnoAuF5HuvnwecHRRxsWwh37zVXWXr59JRERERN5TVFGNa9/45WjoBwAzPvoN32495Meqap3YOR7v3zQcSdFhDV6PDDXjXzecgkHdEg2ujJqj4KOPsGfylONCvxqWQ4ewd+o0WEtKDa6MiIiawxHOLQawDkCiqk71RugHAKpaqKoLVPVs2Ef97YJ98FucN/r3Bp8GfwCgqjMBZME+JDLTl3OeReQSAGsBxMM+TJOj/YiIiIiCyKGiClw2bxVWZ9WfZWO1KW55bx3W7cn3U2X19e0Uh4WTh6NNTHi98+EhJrx+3RAMTUlq5E4KRJVZWch5+BHA4nwKd+XWrci++26oi3ZERBRQJgE4oqpDVLXQVw9R1UxVTYc9A7vfV89pKp8Hfw7jYJ8rLbDPeZ4rIine6lxEUkRkEew7CYvjWeNUtchbzyAiIiIi38o6XIoJr6xERk7DH+HKq6246a1fsetwYIy4OqF9LBZOHo52sfbwLyzEhAXXDMGI9DZ+royaKjw1Fe0fetCttqU//ogDTz4ZEJvOEBGRWyY7DqNMBTDYwOc5ZUjwp6qZsM91rjEFwE5HADjA035F5CxH4LcTtbuxAMAYTvElIiIiCh7lVVZcPv9n7Msvd9ruSGkVrnvzFxwprTKoMud6tIvBoimnontyFOZdNRinn9DW3yWRh5KuuAJJ117rVtuChYtw5I03fFwRERF5SZqqfmPUw1R1GewbfwQEo0b8QVXXoXa+c822x1MArBURq4j8V0TuFZEJjkAvRUTiHEeK49wER5v/iogVx2+/nAkgXVU3GPV7EREREVHzRYaZcf95vd1qu7+wApv3+2ymTpOltonG0rtH48ze7fxdCjVTuxn3IXbcWNcNARya8ywKv/zSxxUREVGQCpg1P3y9q289jpF/6SKyGPbdfutuoTwW9UcFunLs9suLVfWyZpZIRERERH5y8cAuyCupwpNfZjTaJjEqFAuuGYIhAbaGXliIYd+nkw+J2YxOs2dj9zXXouL33122z7n/AYS0bYvoU04xoDoiIvJQvoikGDUz1LGZSGAsSgwDR/zVpaoTAQwBsLyBy+LiONYyAIMZ+hEREREFv5tGpWHy6Q3PjumWFIWPpo0IuNCPWhZTZCS6zn0ZoZ06uWyr1dXYd9vtqNyxw4DKiIjIQ8sAzDDwec/AvvFsQPDbV5Oquk5Vx8G+4OECAIVoONg7ljjazv9/9u47PKoybQP4/aQREiCFDgklQSUU6UVw3VXBsmuj6oqdEpqdoq5l3RWQpqvSEQtYQMCyuDaCfu4KSgtFaQIBgdAJCZCQNnm+P2YiISSZk2TOOZOZ+3ddc00y856ZO7CLyZ23wFn43eCpY5iJiIiIyH5P3dQSfTo0vuixDk0i8cnIHoirW8OmVOY5cTYHWbk8JdabBNWti9i5cxBQs6bbsQVnzuDAsGHIO3bcgmRERFQB8wAMF5HBZr+RiIyF8yCRSWa/l1HiTadRiUhzOJf7RgKIx4U10WlwHuCRDiBJVffZk7DqE5GWAC5aP7N9+3YkJCTYlIiIiIjoUrn5BbjvrbX4KSUNN7VugH/d1R6hwYF2x/K442ey8df5P6FezVC89UAXVA/xva+xKsv88UccGDoMyHdfzFZLSEDTRYsQWCPcgmREVBXs2LEDrVq1Kv5wgqrutCOPP3NtOdcXwFwAUzy97FdEmgGYDOc5FMu8aVWqVxV/ZD4Wf0RERFRVZJzPwwdrD2DYNXEIDDCyMKRqOX4mG3fN/wkpJzIBAFfF1Wb554XSP/kUR55+2tDY8J49ETtnNiQ42ORURFQVsPjzLiKyEUAHAArn4bDJrvu9rvu0IsPTi10eWeTjODgnqsW7Pu7oui88dLajqp4x4UuoEBZ/fobFHxEREZH9ipd+hXrE18aC+1n+eZsTs2bh5OtvGBob0bcvGk54CSK+V1YTUfmUUvztAZBb+ImqtrY0lB9zHboxBcBQ10OeKsQK/8FfBmCoqmZ46HU9gseP+QER2VZ4A7DC7jxERERE/uzYmWzcNe/S0g8A1uw9hSEL1+N8rsOGZFSaOiNGIHJAf0NjMz7+GCdnzjI5ERERlZeqZqhqIi4cNuvucFmjt2QAA1R1oLeVfoAPFX8iskFEZotIX7uzEBERERGV5GiGq/Q7eWnpV2j1nlMYunADsvNY/nkLEUGD559H+DV/MDT+5IwZSF++3ORURFRF3aqqrQtvdofxR0UOm40CkAjnTL0UXLq8tzTprmvGA4hX1c6q6rX/6PtM8QdgAJx/UcNFxCEiS0TkWrtDeYNi/6jcanceIiIiIn81ZukW7Cuj9Cv0w56TePlLbgHlTSQ4GDGvvorQS5ftlejI8y/g3P9+MDkVERFVlGsG4HzXTL0WqhqtqgGqGgBnKRgPoJPrPh5AlOv5aNc1U6vC4bNeV/yJSDMR6es6EcUwVd3n+kO/AUBtABsBLBcRzrMnIiIi8kNpmbnuB1lsUt+2aBxZ3e24No1r4bFel1mQiMojIDwcsXPnILhRI/eDHQ6kPvoosrdvNz8YERF5lKsU3Keqm1z3+7xxGa8RXlf8AUgCsBTAXhE55Zq5N0RE2ht9AVVNV9UpcJ6q0kJEnjQrLBERERF5n882p+Lqyd/if7tP2B3lIrHRYfhwaHc0iggtdcyVMRF4f3B3RIaFWJiMjAqqWxex8+chICLC7diCrCwcSExEXmqqBcmIiIgu5Y3FXwYunIgSBaA/gLkANrqW8H4tImOMFIGqmg5gIIBnTEtLRERERF6joEDxyje78OjizcjKdWDk+8nYc/yc3bEu0qR2GBYPu6rE8q9dTAQWDe6GiLBgG5KRUdXi4xE7cwYkxH056zhxEgeGJcKRUSUnihARURUnqp46vdgzRKQ5nMcr9ytlSNHA6XDOEFwJIElV95fwehEATrvWaPs9EWkJYEfRx7Zv346EhASbEhERERF5RnaeA08u3YL/bD1y0eNNa4fh05E9ERXuXTPofjuVibvm/YQjGdkAgPaxkVg4uCtqhbL0qyrOfPklUh9/wtDYsM6dEfvWAgQYKAuJyDfs2LEDrS7dFzRBVbmJqxdxTSzrDOc+fpEAol1PFX6cBmf/VHi/F8AGVd1sfdry87rirygR6QCgF4DervuSFC8CN8B5yMdeOPf66w8gXVW7mBi1ymDxR0RERL7o+JlsDF24AVsOlTyrqlvzaCwa3A0hQd71u+DC8q9hRCjefagrarL0q3JOvfU2jk+ZYmhsrT/fjEbTpkECvOt/h0RkDhZ/3ktEroPzRN/+lXypJABzVPWTyqcyh1cXf8VVoAgs1FtVvzUtWBXC4o+IiIh8zbbDGRjy7obfZ86VZmDnGEzudyVEpMxxVjuYloWo8BDUqBZkdxSqAFXFsYmTcHrRIkPjowc/hPpjx5qcioi8AYs/7+Oa3bcUzjMhgAtbzVVUYQe1F0Ciqn5XydfzuCr13YWqbgKwCcBUABCR63GhBOzoGiZw/sEX/uUlsvQjIiIi8l3r96W5Lf0A4KMNh3BZvZoYek2c27FWio0OszsCVYKIoP5T45F/9AjOrkxyOz5twVsIbtgI0fcMsiAdEREVEpExACbj0rIvxXVLd32eVspLFC4BjoNzGXBckddqASBJRMap6nSPhfaAKlX8FaeqqwCsKvzcVQQOBDAUzn3/BlbV45aJiIiIyJj7ezTDr8fP4YO1B9yOTU0/b0Ei8jcSGIhGU6fiwAMP4vxm91s+HZswAcEN6qNmr9IWMRERkSe5+qLCfRnmAZjrmlxW2deNgLOHGgDnpLQpIpKuqgsq+9qe4lObS6jqKlVNhHNTxi6o/FptIiIiIvJyIoIXb2uNni1qlzomOFDwct+2+PttrS1MRv4kIDQUMbNnIaRpU/eDVZH65BhDJSEREVWOq5xbCiAZQJSqDvdE6QcAqpqhqvNV9QY4Z/3tBzBPRGp54vU9waeKv0KqmgznlMunReRau/MQERERkbmCAwMw6+5OiKsTfslzdWpUw4dDu+Ourk1sSGaupO3HMH7ZVjgKqs6+3b4sKCoKsfPnITA62u1YzcnBwREjkbt/v/nBiIj820AAaara2cxVoaqaoqrxAPYBeMqs9ykvnyz+AEBV0+H8y11mdxYiIiIiMl9EWDAWPNAFEdUvnIzbtnEE/j26Jzo3c1/EVDXfbDuKEe9vxJINBzGO5Z/XCGnSBLFzZkNCQ92OdZw+jQPDEpF/6pQFyYiI/NYw180qwwF0svD9yuSzxR/w+8y/pa4NHImIiIjIxzWvE47Z93REUIDgjvaNsHT4VWgUWd3uWB731S9HMPL9ZOQ5nGXf8uRDeGr5VhSw/PMK1a+8Eo1feQUIcP/jVt6BAzg4YiQKznP/SSIik8RZeeirqibhwqnBtvPp4s9lKYA77Q5BRERERNboEV8Hn43uiVfvbI/Q4EC743jcFz8fwagPNiG/WMm3dOMhPPPJzyz/vETN665Fg+efMzQ2e+tWpD45BupwmJyKiIgs4jVLDXy++HOd/Os1TSsRERERma91owiIiN0xPG7FlsN4+MNNpS7rXbz+IJ797BeWf14i6q67UHvoUENjz337LY5NmABV/t0REXnYaRFpZtWbuQ4TOW3V+7njVcWfiEwSkVMi8rWIjBGR6zzwmhEAfO+7PiIiIiLyK59vPYxHF5de+hX6YO0BPP/vX1ggeYm6jz+GWrfcYmjs6Q8+RNqCBSYnIiLyO0kAxln4fi8D2Gjh+5UpyO4AxSQCiADQy3Ur/E1tMpx/USsrsC67F4C9HsxIRERERGS52KgwhIcE4WxOvtux7/10AIEi+PttrX1y5mNVIgEBaDhxAvJPnEDW2rVuxx+fNh1BDRoi4pa/WJCOiMgvzAOwQUQ2qqqpv10RkbFwHiTCwz1K8TKcs/OK3zrC2c6uFBGHiKx3zQ7sKyK1SnsxEekA519wivnRiYiIiIjM0y42EgsHd0WNasZ+d//uj7/hH59v58w/LxAQEoKYN15HtctaGBp/+Omnkbl2ncmpiIj8g+vg1+UA5onILDOW/YpIMxFZAmevtUxVN3v6PSpKvO0bARFpDucsvd6u+8gShhUPnQLnrMA0OGf31YazLOzler63lSe4eDMRaQlgR9HHtm/fjoSEBJsSEREREXmXfEcBggK97ffjF2z8LQ33LViHzFxjB0EMvro5nv1LAmf+eYG8I0ew/867kH/8uNuxATVrotkH76PaZZdZkIyIzLBjxw60atWq+MMJqrrTjjz+TkQ2AugAZ6dU2COlwNkjpcDZKRVKL3Z50W4qDs7DO+JdH3d03YvrdTqq6hkTvoQK8brir7gKFoG/Xw7n8uAbTYpX5bD4IyIiIirdL6kZeOTDTZg2sB06NomyO06p1u9Pw/1vrUOWwfJv2DVxePrmliz/vED2rl347e5BKMjMdDs2qGFDNFu8GMH161mQjIg8jcWfd3GdATEFQOGpS54qxAr/47oMwFBVzfDQ63qE9/4q00VV96nqfFUdqKqFjWoinH+ghQ1s4ZLgSy4H0Mt1YMgSERlS1tJgIiIiIvJfyzYeQr/Za5ByMhMj30vGibM5dkcqVZdm0Xjnwa4ICwk0NH7ef1Mw+atdXPbrBUKvuAIxb7wOBLlfsp1/5AgOJibCce6cBcmIiHybqmaoaiKAzgBWoeSt5ipySwYwwNVbeVXpB1SB4q84N0VgBi7+wy8UBaA/gLlwHuO8W0Rmu9sjkIiIiIh8X25+AZ779BeMWboFOfkFAICjZ7Ix+oNk5DkKbE5Xuq7No/HWA11QPdhY+Tfn+72Y9g3LP28Q3qMHGr70T0Njc3buROojj0Lz8kxORUTkH1Q1WVV7w9kVFfZJKbh0eW9p0l3XjAcQr6qdVXW5KWE9wOuX+pZXsaXBheusiytpj8A5AOZ70zpsM3CpLxEREdEFx85kY8R7G5F8oOTv9Qdf3RzP3XLJMi2vsmbvSTz0znpk5xkrKR+5rgWeuOEKk1ORESfnzMGJf71maGxEnz5oOHECl2sTVSGlLPXdAyC38BNVbW1pKDLEtSw4Gs7t5gq/SUjzxhl97lS5GX/uFJsR2ALOBncALj7dt/i0zDg413lvsCEyEREREdlg3b403PLGD6WWfgCw4Id9+GxzqoWpyq9HfB0suL8LqgUZ+9b+9W/34F9Jv5qcioyonZiIyAEDDI0NbtTI5DRERFTItSx4n6puct3vq4qlH+CDxV9xrr+s5ao63EARWNummERERERksfX70wzt4/fU8p+x86h3Lwrp2aIO5t/XGSEGy79/Je3GG6t2m5yK3BERNHjheYT/8ZrSBwUGouFL/0Tdh0dzth+Rb7hVVVsX3uwOQ77P54u/4sooAqcAGGhvOiIiIiKyyog/xqN3q/pux53Pc+DdNb9ZkKhyrrm8Lubd2wkhgca+xZ++8lfM/G6PyanIHQkKQswrryC09aU//weEhSF2zmxE9u9vQzIiIvIFflf8FVekCHxKVVfZnYeIiIiIrBEQIJg+sB3i6oSXOW70tS3w0h1tLEpVOX+6oh7mlqP8m/r1Lsz5fq/JqcidgPBwxM6dg+CYmN8fC6xbB03fW4Qaf/iDjcmIiKiq8/vij4iIiIj8V63QYMy5txPCQi49GbdGtSDMu7cTxtx4BQIDqs4Sy2tb1sPsezoiONBY5pe/3In5/01xP5BMFVSnDmLnzUNgRARC4uPRfPFihF56KAAREXk5Ealld4aiWPwRERERkV+7vH5NTO3f7qLHLqtXA5+N7okbWjewKVXlXJ9QHzPv7oggg4XlhC924M3/sfyzW7W45oh9awGaffA+ghs3tjsOERGVk4hcD+C03TmK8njx523NJhERERGRO3+5siESr4lzfty2IT4d1RPxdWvYnKpybmjdADPKUf699J8deHv1PpNTkTvVW7dGYESE3TGIiMhHmDHjb5mIXGvC65pORNqLyNd25yAiIiIi64298Qq8dld7zLi7A8KrBdkdxyNuatMAb/y1g+Glyi+u2I531+w3NxQREZHvirQ7QHFmFH8DAcwXkT4mvLZpRKQfgFUAEu3OQkRERETWCwoMwO3tG0Ok6uznZ8TNbRvitbvaGy7/Xvj3Niz6yftPMSYiIvJC0XYHKM7jxZ+qpgO4AcACEZno6dc3g4iMBTAPQGdV3W9zHCIiIiIij7rlykZ49c72MHpGyXOf/oIP1h4wNxQREZHv6W13gOJMWcOgqikiEgcgSUR6AxiiqlvMeK/KEJFmAJYBiICz9OOmJkRERETkk25r1wgFBYonPtqMAnU//plPfkaAAHd1bWJ+OKq0gpwcHHnmb6h5ww2odeMNdschIvIaIjIbQJwFbxUHIB6Agf/KWse0zUtcM/86i8hcAMkishTAUFU9a9Z7GuU6gGQygGEAlqnqnTZHIiIiIiIy3R0dGqNAFU8u3QI18GPJ05/8jIAAwcDOseaHowpzpKfj0OiHkbVhA84mJSGobl2EdexgdywiIm/RAsD1sK6QS7fofQwxY4+/i6hqIoA74Vz+my4ii0WkndnvWxLX4R1L4Dxa+U4Aw1n6EREREZE/6dsxBlP7t4ORrQxVgfHLt2LZxkPmB6MKyUtNxf5B9yBrwwYAgObk4NCIEchJ4WImIiIAUNXeAAr/URSTb17HkuPKVHUZnKf9jgPwMoABIpICYCmAj1R1s1nvLSLt4Sz5+sM57VIATFHVp8x6TyIiIiLyL0cyzmPdvjTc3r6x3VEM6d8pBgUFinHLt7odqwqMXbYFgQFAnw4xFqQjo7K3b8eBxEQ4Tpy86HFHRgYODhuGZos/RFCdOjalIyLyKuMBLAEwwMT3iIez8/Kqk30tKf4KqeoU19LfZwAMBfAUgPGuk9OSACQDWA8guSKHbLj27OsIZ8HXBUAvOP/ABc6pllMBzOVefkRERETkKT/sPolHFm9CelYu6tUMxVXxte2OZMjALrEoUMVTH//sdqwq8ORHzuXBfTuy/PMG5/73A1IffRQFWVklPp936BAODh+BpgvfRUBYmMXpiIi8i6ouE2f5dFpVvzXrfUSkNoAxZr1+RYga2dzDrDcX6QUgEUC/Ig8XDZQOIA0X1kcXflzYnka7Po7GpY1q4RTLZXCWfas8l7zqEpGWAHYUfWz79u1ISEiwKRERERFR1VRQoJjx3R68mvTr7/vl1alRDV88cjXq1Qq1N1w5vL/2N/ztk18MjRUBJve9EgO7cM8/O+Xu34+9t9wK5Oe7HVvj2msRM+MNSGCgBcmIqKgdO3agVatWxR9OUNWdduTxdyLyEYBTqjrCxPfoB+fKVq/5R9fSGX/FqWoSnDP9ICLXwzlb7wY4N10EgCjXrTySAKyEc9Ygyz4iIiIi8rjTmbl4bMlmfP/riYseP3kuB6M/3IQPhnRDUKDp22l7xKBuTVFQoHjus21ux6oC45ZvRa6jAPd0b2pBOipJSLNmqD10CE7NnuN2bNbGjcj97TdUi7PiQEsiIq+2HsBAk9/Dqw72AGwu/opylXSr4FyOCxGJgHPJbhwuntFXG8Ap18eFMwJTAKSoaoaVmYmIiIjI/2w+mI5R7ycjNf18ic+v25eGqd/swtM3V50VFfde1QwFCrzwb/flHwA8++kvyHMU4MGezU1ORqWp+8gjyD98BBmffVbqmOCYGMTOm8vSj4jIKR3OjsmveE3xV5yrxNvkuhERERER2S4tMxd3z/8JWbmOMsfN/T4FnZpE4YbWDSxKVnn392gGR4HiH59vNzT+xRXbkZtfgMQ/xpucjEoiImj4z38g/8RxZK758ZLnq7drh5hZMxFUu2rsOUlEZIF9KP+q0vJKg3NSm9eoGusPiIiIiIi8QHR4CJ684QpDY59cugUHTpV88IK3eujq5nj2L8ZnKk76cifeWLXbxERUFgkJQePXX0e1Ky7+32TNm25Ck3ffYelHRFSEqiapqqk9mKpuUtUbzHyP8mLxR0RERERUDg/1bIa/tG3odtx1Leuhdo0QCxJ51pA/xJWr/Ju+8le88s0u2HlooD8LrFEDsfPmIqh+fQBA7aFD0PiV6QgIrToHzBARkXm8dqkvEREREZE3EhG83K8tdhw5g5STmZc8HxIYgOdubYV7ujWBiNiQsPKG/CEOwYEBhvf8e/3bPchxFOCpm1pW2a+5KguuXx+xc+fg/M8/I2rAALvjEBGRF+GMPyIiIiKicqoZGoxZ93REaPDF3043jqyOpcOvwr3dm1b5Auz+Hs0wsU9bGP0y5n6fgn98vp0z/2wS2rIlSz8iIroEiz8iIiIiogpo2aAWJvZp+/vnf7qiLj5/+Gq0i420MZVn3d2tCab0u9Jw+ff26v147rNfUFDA8o+IiMgbcKkvEREREVEF9e0Yg+QDp1G/ZihGXdsCAQFVe5ZfSQZ0jkVIUACe+GgLHAYKvfd+OoAa1YLx1M0tLUhHREREZWHx5wdEpOjmLFVvh2kiIiIiL/bP29tU+WW97tzevjGCAwPwyIebkO+m/KtToxr6d4qxKBkRERGVhUt9iYiIiIgqwddLv0J/btsQswZ1RHBg6V9vVFgw3h/SDS3q1bAwGVVWzr59OP/zL3bHICIiE7D48wOq2rrwBuBWu/MQERERUdV0Q+sGmHdfZ4QEXfpjRET1YLw3pBuuaFDThmRUUVkbNuC3u/6Kg8OHI/fQIbvjEBGRh7H4IyIiIiIiw669oh7eur/LRSca16wWhEWDu6J1owgbk1F5ZaxYgQMPPgRHRgYcp07hYOJwOM6csTsWERF5EIs/IiIiIiIql6svq4N3HuyKsJBAhIcE4p2HuuLKGN85zdjXqSpOzJyJw2PHQfPyfn88d+9eHHrkUWhuro3piIjIk3i4BxERERGRTVS1yu4R2D2uNhY+1BWOAkWnplF2xyGDNDcXR55/ARmfflri81k//YQjL76Ihi+9VGX/t0lERBdwxh8RERERkQ12HT2LO2auxp7j5+yOUmGdm0WjW1xtu2OQQQVZWTgwZGippV+hjOUfI+2tty1KRUREZmLxR0RERERksY82HMTtM3/AlkMZGPV+Ms7nOuyORH5AQkMRVMdYUXt82jSc/fZbkxMREZHZWPwREREREVkkKzcfT360BeOWbUV2XgEAYNexs3hxxTabk9kjO4+Fp5UkIAANJ01C9Q4d3A9WReqYscjeudP8YEREZBoWf0REREREFvj12FncNmM1licfuuS5xesP4pNNlz7uyzYdOI0/Tv0Oa1NO2R3FrwRUq4aYWTMR3KSJ27GalYWDI0Yi/8QJC5IREZEZWPwREREREZls6YaDuG3GD2Xu5/e3T36p0vv9lceOI2fwwNvrcexMDu57ax2+23nc7kh+JSgqCrFz5yAgIsLt2PwjR3Bw1GgUZGdbkIzIL6wQkW2FN7vDkO9j8UdEREREZLLtR878vrS3NFm5Dr/Y72/fyUzcu2AdMs7nAQBy8gswZOEGfFzCTEgyT7XmzRHz2mtAUJDbsdlbt+LIM3+DqlqQjIiIPInFHxERERGRyZ6+OQHtYtzPrtp17CzeWr3PgkT2SE0/j3veXIuT53IuetxRoHjioy2Y/98Um5L5p/Du3dDghecNjT3zxRc4OXOWyYmI/MKtqtq68GZ3GCqZiNTyxBhvwOKPiIiIiMhkIUEBmHF3R9QMLXt2VeI1cRh2TZxFqax14mwO7n1zLVLTz5c6ZsIXOzDpix2cWWahqAEDEP3AA4bGnpwxA2e++MLcQERE3mGfiEws7UkReRlAlfhtlaXFn4iMEZHdIuJw3daLyJNVpSUlIiIiIqqo2OgwTO3frsTnIsOCseD+znj6zwkIDvS9382fzc7DvQvWIuVkptuxc/+bglU7uOefleqNHYMaf/qTobGHn34G57dsMTcQEZH9ogDEl/F8pGuM17PkuwoRaS4iq2rREQAAIABJREFUpwBMhvMPTly3TgCmAEgRkWutyEJEREREZJeb2jTAQz2bX/RYxyaR+M8jf8D1CfVtSmW+8JAgdGxq7OejB3o0w/UJ9UxOREVJYCAaTZuGapdf7nas5uTg4KjRyDt82IJkRERUWaYXfyISAWAjnE2oANBiNwEQDSBJRAYbfM1mItKeMwWJiIiIqKp56uaWv+/3N+yaOCxJvAqNI6vbnMpcAQGCCXe0QeIfy17GfFu7Rnj+llYQEYuSUaHAGuGInT0LgbVrux3rOHkSB0eOQkGm+xmcRERkLytm/M2Hcwpk4UYdUuwGXCgA54lIn9JeSEQmuWYO7oWzTDztWjr8pFnhiYiIiIg8qXC/vzfv64xnfHRpb0lEBE/fnIBn/tyyxOf/cFkdTBvQDgEBLP3sEty4MWJmvAEJCXE7NmfnTqSOHQd1+PYp1EREVZ2p32WISHMA/VGk2APQGxfWSg8AsBwXZgIKgDeLz+QTkQgR2Q1gHC7MHCy8xQOYIiInuVyYiIiIiKqC2Ogw9Grlu0t7yzLsmnhMH9AOgUUKvnYxEZhzTyeEBPlHCerNwjp0QMMJEwyNPffttzj+yismJyIiosow+7+sia77dADxqjpcVVepaoaq7lPV5ao6AEALAN+6xkbCWRAWtQoXNlUsvlS4QsuFiYiIiIjIHv06xWD+fZ0QGhyAuLrheOuBLgivVvaJx2SdiFtvQZ2RIwyNTVvwFtKXf2xyIiIiqiizi7+OcBZz16vqvtIGqWqKqvaGc1mwABggIs0AQET6FXmd4suES1suzPKPiIiIiMiLXdeyPt4f0h0LH+qK2jWq2R2HiqkzejRq3nSTobFH//53ZG3aZHIiIiKqCLOLv84AklV1s5HBqpoIZ/kHAP1c94Wf74NzBmGUqgaoagCcswATASTj4uXC80SkqWe+BCIiIiIiMkOnplGIiQqzOwaVQAIC0GjSRIS2aeN2rObl4dDDjyDv6FELkhERUXmYXfxFAthQngtc5d9+AImuWX+RAJaqagtVna+qGUXG7nM91hnAQAAZuFD+rfTIV0BEREREROSHAqpXR8ysmQiq734/SsfJkzg0ajQKsrMtSEZEREZZsXvu3gpckwjnvn+JAFJU9U53F6jqMjhnGO53PRRf1gnBRERERERV0fEz2cjJ50mqOfkOzPl+L3LzC+yO4tOC69VD7OxZkOrV3Y7N3rYNR/72LFTVgmRERGSEVx6bpapJADbBeYrvy+W4LgVAJzhn/gHAZM+nIyIiIiKyx39/PYGbX/sfJn2x0+4otiooUIxZuhUvf7kTD72zHmez8+yO5NNCW7VCoynGfrQ685//4NT8N01ORERERnll8eeyxHWfVJ6LVDUdwPVwLveNF5H2ng5GRERERGSlfEcBpn69E/e/vQ6nMnPxzpr9+PLnI3bHss3kr3dixZbDAIAf9pzEgDk/4mgGl5iaqVbv3qj76COGxp549VWc/fY7kxMREZER3lz8rQQAVd1f3gtVNRnActenvTyYiYiIiIjIUkcyzuPu+Wsx87u9KLqCctzyrThwKsu+YDZZ+ON+zP0+5aLHdh49iz6zVmPX0bP2hPITtYcPN3bSryoOjx2LnD17zA9FRERl8ubiL8X9kDJNgnPWX28PZCEiIiIistx3u47jz6/9D+v2p13y3NnsfDz8YbJf7XH39bajeOHf20p87khGNvrPWYM1e09anMp/iAgaTZyAagkJbscWZGbi4MhRcKSnW5CMiIhK47XFX9HTeyt4fTKAdABxnklERERERGSdhT/ux4Nvr8fprNL3r9tyKAMvf+kf+/0lHziNRz7chLLOjTibnY/731qHzzanWhfMzwSEhSF25gwERke7HZt34ABSn3gCmp9vQTIiIiqJ1xZ/HpIEwP1/kYiIiIiIvEzPFnUQHhLodtxbq/fhm21HLUhkH0eBYszSLcgxMLsxz6F4dPFmzPxuD0+XNUlwo0aIeeN1IDjY7djMNT/i2JQpFqQiIqKS+HrxlwIg0u4QRERERETlFV+3Bib2bWto7P/9esLkNPYKDBDMv68zYqOrG75m6te7MHbZVr9aCm2lsE6d0OD55wyNPb1wEdKXL3c/kIiIPM6K4s/OpbanbHxvIiIiIqJKub19Y9zVJbbU50OCAjChTxtMuKONhansEV+3Bj4e0RNXxkQYvmbZxkO4d8FapGflmpjMf0UNGICoQYMMjT3y9xeRlZxsciIiIirOiuIvUUQmikh7C96rOO4kS0RERERV2gu3tsYV9Wte8nhcnXB8OrInBnVrChGxIZn16tashsXDuuO6lvUMX7N2Xxr6zlqD/SczTUzmv+o/NR5h3bu7H5iXh0MPP4K8I0fMD0VERL+zaqnveAAbRcQhIl+LyBibikAiIiIioiqlekggZg7qgOrBF/b7u6N9I/z74avRqlEtG5PZIywkCPPu7YS/dm1i+JqUk5noM2s11pdwOjJVjgQHo/GrryA4tvSZqYUcp07h0KjRKDh/3oJkREQEWLvHn7huvQBMBotAIiIiIiJDWtSriZfuaIPQ4ABM6XclXr2zPWpUC7I7lm2CAgMwsU8bjL3xCsPXnM7Kw6D5a/HpJp7462lBUVGImTkDAWFhbsdmb9+OI8+/wINXiIgsYlXxV9Lag7KKwIkicp1F2YiIiIiIvF6/TjH4bsyfMLBLrN8s7S2LiGDUtS3wysB2CA409ueR6yjAY0s249WVv7J48rDQyy9Ho6nGTu89s2IFTi9caHIiIiICrCn+UgD0BpAIYBmADLgvAscDWAkAnBFIREREROTUMML4qbb+om/HGCwa3A0R1YMNX/Paqt14bMlmZOc5TEzmf2pefz3qPvaoobHHpkxF5k9rTU5ERERWFH/JqrpKVeer6kBVjQYQD2NFIMClwUREREREVIbucbXxycgeaFbb/VLTQp9tPox73lyLU+dyTEzmf2onJqLWn292P9DhQOrjjyPv8GHzQxER+TGrZvxdRFX3GSwCixaCFdkjMNKTXwgREREREXmnuLo18MnInujaLNrwNRt+O40+s9Zg97GzJibzLyKChhMmoFqrBLdjHadP49DDj6AgO9uCZERE/smK4m+vuwHlKAKLKqkIPOUqAp90FYFdPPZVEBERERGRV4sKD8GiIV3Rt0Njw9ccSMtCn1lr8N3O4yYm8y8B1asj9o03EBgV5XZs9rZtOPrC37nnIhGRScwu/gYA+Ki8F1WiCIyCswicAmAjgH4VDU5ERERERFVPtaBATB/YDk/2vtzwNedy8vHQu+sx/78pLKA8JLhxYzR+9VUgMNDt2IzPPsPp9963IBURUbmklfFclTlly9TiT1WXq+oZD7xOZWYEEhERERH5tW2HM7A25ZTdMSwjInj4+svw2l3tERJk7EceVWDCFzswbtlW5OTz0A9PCO/eDfXHjTU09tjLLyNz3TqTExERGTYewLwynp8D4CmLslSKFUt9Pa6CRSARERERkV9RVSz6cT/6zFqDUR8k4/gZ/9pL7fb2jfHh0G6IDg8xfM3SjYdwz5trcZKHfnhE1H33odatt7of6HDg8PinUJCba34oIiI3VHWqqm4q4/lNqjrVykwVVSWLv+JKKAI7AZhvdy4iIiIiIrucyc7DqA+S8dxn25CbX4CT53Lx6OLNcBT411LWTk2j8enInoivG274mvX7T+P2Gaux40ilFy/5PRFBw3+8iGoJZR/2EVS/PmL+9SoCQoyXtERE5J5PFH/FuZrXRACr7M5CRERERGS1rYfSccvrP+CLn49e9PiPKafwxre7bUplnya1w/DxyJ7o2aK24WtS08+j3+w1+GbbUfeDqUwB1asj5o03EBgZWeLz1Tt1QvNlS1G9XTuLkxER+T6fLP6K2Gh3ACIiIiIiq6gq3l69D/1mr8GBtKwSx7y2ajfW7DlpcTL7RVQPxjsPdsV9VzU1fE1WrgOJ723ErP/bw0M/KikkpjEav/oKEHDxj6BRgwah6dtvIahuXZuSERH5Nl8v/vxnB2MiIiIi8nv/t+sEXlyxHXmO0ksqVeDRJZtx4qz/7WEXHBiAf9zeBv+8ow0CA4xtC64KTPlqF574aAuy83joR2WEX3UV6o0ZAwCQkBA0nDQJDZ57FsLlvUREpvH14i/d7gBERERERFb50xV18Ze2Dd2OO3E2B48v8b/9/grd270pFj3UFRHVgw1f88mmVNw17yccP+tfB6R4WvSDDyD6/vvR9P33EdnnDrvjEBH5PF8v/pJQRY5XJiIiIiKqLBHBpH5t0SQ6zM04oGOTkvdb8xc9WtTBZ6PKd+jH5oPpuH3GavySmmFiMt8mIqj/9FOo3raN3VGIiPyCTxd/rtN+q8TxykREREREnlArNBgz7+6IkMCSv9WvU6MaFj3UDU/ccIXh5a6+qlmdcHwyqif+eLnx/eWOZGSj/5w1WLHlsInJiIiIPMOniz8iIiIiIn/UNiYCz/y55SWP94ivjS8evRpXX1bHhlTeqVZoMN56oAsGX93c8DXZeQV4+MNNmPLVTr9dLk1ERFUDiz8iIiIiIh90f49muKl1AwBAgACP97ociwZ3Q72aoTYn8z6BAYLnbmmFyf3aIjjQ+CzIWf+3F0MXbsCZ7DwT0xEREVUciz8iIiIiIh8kIpjc/0p0ahqF94d0x6O9LvP7pb3u3NmlCd4f0h3R4cZPmf1253HcMXM19p44Z2IyIiL/JiKRIjJXRFaKyF7XbaWI9Lc7m7dj8UdERERE5KMiqgdj2fCrcFV8bbujVBldm0fjs1E9cUX9moavSTmRiTtmrMZ3O4+bmIxyUlJwfNo0qHJ5NZE/EZFeAFYBmKuqvVU1HkAnACkAlorIRlsDejkWf0REREREPkyEs/zKKzY6DMtH9kCvhHqGrzmbk4+H3l2PWf+3h8WUCc589TX29x+AU28uQNo779odh4gsIiKRACaraidVTS58XFXTVTURQBKAjiKy1LaQXo7FHxERERERUTE1qgVh7r2dMeJP8YavUQWmfLULD3+4CedzHSam8x+an49jk6cg9bHHUJCVBQA4Pm0astavtzkZEVlkIIA4ERlXyvOTXff9RSTOokxVCos/IiIiIiKiEgQGCMbf1BKv3dUeocHGf3T6fOsR9Ju9BodOZ5mYzvflnziBAw88iLS33774CYcDhx5/AnnHuLSayA90AhAJYLJr9l9xG4p83NGaSFULiz8iIiIiIqIy3N6+MZYN74HGkdUNX7P9yBkMenMt8hwFJibzXVkbN2Jf337I2rChxOcdJ08i9fHHoXk8UZnIxy0FkA4gSVXTS3g+2uI8VQ6LPyIiIiIiIjfaNI7AZ6N7omszYz9jigDP/aUVggP5I1d5FeTmInXMWOSfOFHmuPPJyTg+bZpFqYjIDqqapKpRqtq7lCFFl/cmlzLGr/G/QkREREREdImvtx3Fkx9t4UEVRdSpUQ3vDemGe7o3cTv2yd6Xo1er+hak8j0BISFoPHUKEBjodmzauwtx7r//tSAVUdUgIh1F5HQpy2KNXN9LRJaKyF4R2ei6Xyoi3rqMNtF1n6SqKbYmcUNEdtvxviz+iIiIiIjod7n5BXhxxTYkLtqI5cmH8Nbq/XZH8iohQQF46Y62mNinLYIDSz4x+S9tG2LUtS0sTuZbwjp3Rr0xY9yOi7rnHoR3725BIiLvJyLDAGyEc0+8ily/FM6ltUtUNd51km48gJUANorIXM+lrTzXYR79XZ8mljXWbiISgYtnJ1omyI43JSIiIiIi73PgVBZGf5iMrYcyfn/s5S93oHPTKLSLrdDPkT7r7m5NcFn9Ghjx3kacPJf7++MtG9TE1AFXQqTkUpCMi37gfpzfvBlnv/76kuekenU0/Mc/EHHrLTYkI7Kfa0ZfnOvWBcAwVLDwc73eRjgPx+ikqhctmVXVeSKSAmCliESr6oCKJ/eopa773mbM9hMR9799MK6LB1+rXFj8ERERERERvvz5CMYt24qzOfkXPZ7nUIz6IBn/eeQPiKgebFM679SlWTT+PfpqJC7aiJ9TMxAVFoz593VGWAh/zPIEEUHDCROQs3s3clMu/Ewf0rQpGr/xOkIvv9zGdES2GwZgMoAUAEkABrhuw8r7QiIyDs7Sb17x0q+QqiaJyDIA/UVkmKrOK+W1KjOrLa2UAzxKep+5cGYeoKpJlXjPsjwDIMJDryUATnvotcr3xtyzw7+ISEsAO4o+tn37diQkJNiUiIiIiIjslJ3nwMQvdmDhj7+VOe6m1g0w+56OnMlWguw8B/72yS/o16kxesTXsTuOz8nZuxf7BgyEZmWhZu9eaDhxIgJr1rQ7FpFbO3bsQKtWrYo/nKCqO814PxGZDGCc69MoIyWaa+ZgYSEVX9bMORHpBeey33RVjXLz/hXlNrdrSfNcOGf6mVX6QUT2wHlq8EdwnixcUZFwzvhrr6ruNy/1MP4qioiIiIjIj2Xm5OOrX466HffVtqNY+ONvuL9HM/NDVTGhwYGYPrCd3TF8VrX4eDSa8BLyUlMRPXgwy2cizxpY+IG75bKuWX8AECkivYqXbqo6HsB4U1K6uMrHyShhSbIJ0gHMUdVKHx/uKlhPVT5S+fFwDyIiIiIiP1a7RjW8/tcOCDDQpUz4zw4cTMsyP5QfynMU2B3Bq9W6+WbUHjKEpR+R5xXu12d0j7zCmW+WH6bhOll4Lkoo/USkv4j0L/nKCkuB8T+XMrlmMdryDxiLPyIiIiIiP9c9rjYe61X2fmlhIYF4uV9bxEaHWZTKf6Smn0evV77Hyu3H7I5CRP6nl+veaMGV5rrvaEKWUrn2DlyK0g/y6A0PlXSFVHWgqn7swdezpYNj8UdERERERBh1bQv0bFG7xOdaNqiJf4++Gn07xlicyvedz3Vg2MIN+O1UFoYu3IA3Vu0G92EnIisUO4jDaGlWOK4yh3iUi2uZ7Eq4lhGLSFyxWy84lyx7/GTf8hKRWiJSy+4cRbH4IyIiIiIiBAYI/nVnB9SpUe2ix//aNRafjuqJFvVq2JTMd6kqxi3fim2Hz/z+2PSVv2LUB8nILHa6MhH5jCgRqVvazeIskRW45vdDLlyFnBVWwVk0LgWwt4TbSuD35bSWE5FmIrJERBxwHpRyWkROichiEWlmR6aiWPwREREREREAoG7NanjtrvYQAcJDAvHaXe0xqe+VCA22/BBCvzDn+xSs2HL4kse/+Pko+s1ew/0UiXzTGgDHy7hZKbrIxxUpzaLdD6kc10nBRpYV2zLbT0TGwFk+9odzD7/CWxSc+yfuFZEn7chWiKf6EhERERHR73q2qIOJfdqiW/NoxNXlLD+zfLfzOKZ8vbPU53cePYvbZvyAmXd3RI8WdSxM5lu0oABnvvgStf58MySA816IiqnsjD3TZ/xZcVJwRblKvymuT1MAJOPipdAdXfdTRASqOt36lCz+/IKIbCvyaYhtQYiIiIioSvhr1yZ2R/Bpe0+cwyOLN8HdVn6ns/KwbOMhFn8VlH/6NA6PHYfMH35A/tEjqD1kiN2RiLxNZWfsmT7jz1uJSAc4S79kAONVdVUp43oBmAxn+bdcVfdbl9KJv/IgIiIiIiKy0DfbjuFstvs9/No0roWJfdtakMj3ZCVvwr47+iDzhx8AAMdf/ReyNmywORUR+ZCnASSpaufSSj8AUNUkVe0EYDOAcZalK4Iz/vyAqrYu/FhEWgLYYWMcIiIiIiK/NuJP8agdHoJnP/0FuY6CEsfUqRGCefd25v6K5aSqSHv7HRx/5RUgv0i56nAg9Ykn0fyTjxFUu+TTq4ks0gPAHrtDuKTZHaAK6wWgWTnGXw9gvTlRysYZf0RERERERBYb2CUWHw7rjro1q13yXHCgYPY9ndAosroNyaouR0YGDo1+GMenTLm49HPJP34ch8eOhTocNqQj+t1pVT1R2s3iLJU9Bdefi8MUVT3jfpiT68ThDBPzlIrFHxERERERkQ06NY3CitFXo11MxEWPv3hbG3Rp5rdbZ1XYoVGjcW5VqSvuAACZa37EydlzLEpE5PWKFncVOaijssWhvzllx5uy+CMiIiIiIo/59dhZuyNUKQ0iQrEk8Sr07dgYAHBP9ya4uxsPV6mIuk88AQS5383q5MyZyPzpJwsSEXm9osWd0d82xBV+oKopZQ30cUkicp3RwSISgVJm/ImIqUuAWfwREREREVGlOQoUr3yzCzf+67/4ZNMhu+NUKaHBgZg+oB1e/2sHPH9La/cXUInCOnZAvSeecD9QFaljxyL/lC2Tb4i8RrHizuiMv8Jx/lz6AcAkAONFpKbB8R+hhMM9XIVgR08GK46HexARERERUaWcOpeDx5Zsxv92nwQAPP3xz0hoWAstG9SyOVnVISK4rV0ju2NUedEPPoCsjRvdLvl1nDiJw+PGI3b+PEgA58OQX0uGs3iKczfQpXBcsjlxqoxOAJIA7BeRcQCklHGRABJdY3uJXDKsk2kJXVj8ERERERFRhSUfOI1R7yfjSEb2749l5xVgxHvJ+PfonqgZGmxjOv+hqth0MB0dm0TZHcVWIoJGEydgX79dyDtU9szTzNWrcWrBAtQZOtSidEQAgBUiklv4iaraPc13CQwWfyJSdFbgEtMSVQ3LAETAWfjNczNWUPafr6l7JbL4IyIiIiKiclNVvLtmPyZ8sQN5Dr3k+X0nMzFu2VbMGtQRJcxwIA+b8e0eTF/5Kx7vdTkevq4FAgL89888MCICjV99Fb/dfTc0L6/MsSf+9RrCOnVGWMcOFqUj8jrzAEwGABHppapJZYwd6LpPV9VlpifzbmlwzuZLRuVON+6Mih2sYhiLPyIiIiIiKrdnPvkFH647UOaYL385igU/7MOQPxhdQUYV8c22o5i+8lcAwKtJv2LHkTOYPrAdwqv574971du2Qb3x43HspZfKHuhwIHXMk4j7+GMERpr6szdRoVtVdafdIQqparqITIFz/7nCJamlSXTdjzc9mPdLBzBOVadV5kVcsyhN3XCUmxkQEREREVG5/fHyuobGTfpyJ9bvr8xkCCrLr8fO4vElmy967KttR9F31hocOJVlUyrvEDXobtTs3cvtuPzDR3D42WeheunMVaIqpmh7bfSUXqjqeDhnrvUXkRL/TyMiw+BcEpykqu6WtvqDNHjggBNVTUfp+wN6BIs/IiIiIiIqt5vaNMCwa9zP5AsMEKSePm9BIv+TnpWLoQs3IDPXcclzu46dxW0zf8DqPSdtSOYdRAQNX3oJwY3cH5pyLmkVTr/3vgWpiDxHRCJFJM51648LS3EBYK6I9HI9F1lsf76SXA/nbL+Vrtcq+j7DAMwFsExVe3v0i7CIiEwSkfUi4hCR3SKyRET6VOIlB6jqxx6KF++h1ymR8Lca/kVEWgLYUfSx7du3IyEhwaZERERERFRV5TsKcPf8tVhXyoy+mKjqmD2oE9rGRFiczPflOwrw4Dvrfz9JuTSBAYLn/pKA+3s089u9FrM2bcJv99wLOC4tSIuS4GA0Xfwhqre2+6wF8hU7duxAq1atij+c4ImlviLSEcDGclySoqpuCybXjL/xuHjGYAqASapa5U7yFZHmAL6B83CNov8IFpZhe+Es8bZYnc0qnPFHREREREQVEhQYgBl3d0CdGtUuee66lvXw+cNXs/QzyeSvdrot/QDAUaD4+4rt+NunvyDPUWBBMu8T1qED6j3+mNtxmpeH1CeegONcpgWpiCpHVZNVVcpxMzSrTFWTVLW3qnYqchtQFUs/l6VwzqibD+cehQPgLDZXwVkEtgCQXNLsPxFp5popuNs1U9BRZMbgbBFpb+HXUWEs/oiIiIiIqMLq1QrFjLs7INB1imyAAGNvvAJv3tcZkWEhNqfzXZfXr4mQQOM/zn2w9gDuW7AOpzNzTUzlvaIfegjhV1/tdlzebwdw9IUXuN8fkQ8QkaFwzvSLVNXhqjpfVZer6lRVvQFAFICpcBaAy4qWfyIyG87ZgOPgLA6lyC0OwDAAG0VknYi0s/QLKycWf0REREREVCnd42pj7I1XoHZ4CBYN7oZR17ZAQIB/Liu1yoDOsViS2B31al4627I0P6acwh2zVmPP8XMmJvNOEhCARpNfRlBd94fSnPnPf5CxfLkFqYjIZMMA9FfVMyU9qaoZroNNWgDYD2CpiLQXkfVwzg7MALAcwBTXbRmch6Bk4EIJ2BnOGYODTf5aKox7/PkZ7vFHRERERGZQVZzKzC1x2S+Z59iZbCQu2ojNB9MNX1MzNAgz7u5o+GRmX5L501ocePBBwM3PwRIaiuZLP0K1yy6zKBn5IjP3+CP3ROSUqtY2ODYOwAYAEXAWeuNVdWoZ4zsAGA7n0uFIOPcMHKeq0ysd3MM444+IiIiIiCpNRFj62aB+rVAsHtYd/TvFGL7mbHY+Hnx7Hd5evc/vlrSGd++GOiNGuB2n2dlIfeIJFJznidRE/kBVU+Dc+0/gLPBKLf1c4zepaqKqRuPCcuEplTwp2BQs/oiIiIiIiKqw0OBATO1/JZ6/pRWMrrAuUODFFdvxzCf+d+hHnZEjENa5s9txObv34NjEiRYkIj+zQkS2Fd7sDuPjTpdzfG/XvaGDUAoVWS58Bs7lwrXK+b6mYvFHRERERERUxYkIHrq6Od55sCtqhgYZvu7DdQdw74K1fnXohwQFodH0aQiMjHQ7Nn3pMmR8/h8LUhGRCZLKOQOvF4B5cO7bVy6uGYOd4OzZXi7v9WZi8UdEREREROQjrrm8Lj4Z2RPNaocZvuanlDTXoR9nTUzmXYLr10ejycZ+Nj/6wgvIPXDA5ETkR25V1daFN7vD+LjCQzmMigSw1HVfbq7ybyCARG+a9cfij4iIiIiIbOdve82ZqUW9Gvh0VE/0iDe0pz0A4LdTWegzcw3+b9dxE5N5lxp//COiH3zQ7biCzEykjhkLzcuzIBUReYqriPtWRIyu2U+H85DSy35RAAAgAElEQVSOyrznMgCb4CwAvQKLPyIiIiIiso2qYtb/7cHI95NRUMDyz1Miw0Lw7kNdMahbE8PXnM3Jx0PvrMeCH/zn0I96jz+G0CuvdDsue+tWnHhjhgWJiMiTVDURwA0i8qSB4RsAJMJZAFbGJFzYL9B2LP6IiIiIiMgW53LyMeK9ZEz5ahe+/OUoZn+/1+5IPiU4MAAv3dEGL97WGoEGT/0oUOCfn2/H0x//jNx83z/0Q0JC0PiV6QioWdPt2FPz5yPzp58sSEVEnqSqnQHcKCJLRKSs/7M/BefBHpMq+ZZJADpW8jU8hsUfERERERFZbu+Jc7h9xg/4atvR3x+b9s0uv1pqagURwf09muGdB7uU69CPxesP4t4Fa5Ge5fuHfoTExKDhP//pfqAqDo8bj/zT5T0olIjspqo3ANgPYL+IDC5lTLKqdlbVjyv5XhkAoivzGp7E4o+IiIiIiCz19bajuH3Gauw9kXnR46rAIx9uwv6TmaVcSRX1h8vq4tNRPdG8Trjha9buS0PfWWv84u+j1k03IvLOO92Oyz9+HEf+9qzfLIUm8iWqOh7OJbgjRGR9OU/8LS9j06wtwOKPiIiIiIgs4ShQTPt6FxIXbcS5nPwSx5zJzseQhRtwNpsHKXhafN0a+GRkD/RsYfzQj5STmegzazXW708zMZl3qP/UeIS0iHc77ty33+L0Bx9YkIiIPK1wVh+Ap+EsAE+5lgBf56n3EJEOAFI89XqVxeKPiIiIiIgskXE+D0s3HnQ7bs/xc3h8yRYe9mGCyLAQvPNgV9zT3fihH6ez8jBo/lp8tjnVxGT2C6heHY2nT4eEhLgde3zyFGTv+tWCVERkBlVNci3/jYNzT76nRKTANRNwkohcJyK1KvjyTwGY47GwlcTij4iIiIiILBEdHoJZgzohOND9Cqj/7T6BnUfPWpDK/zgP/WiLf9xu/NCPXEcBHl28Ga8l7fbpZa6hV1yBemPHuh2nubk4POZJFGRnW5CKiMyiqhmqOl9Vb1DVADhLO3Hdp4vIbhGZLSJ9jRSBIjIWQLyqvmlydMNY/BERERERkWU6NY3CC7e2LnNMo4hQLBveA60aVXSyBRlx31XOQz9qlePQj1eTfsWTH21BTr7DxGT2irpnEGr86U9ux+Xs3oNjkyebH4h8zQoR2VZ4szsMXUxVV6nqU0WKwIFwLtsdDmcRWLg0eIiItBeRZq7ZgUNEZA+AXgCut/NrKI7FHxERERERWWpQtya4q0tsic91aRaFfz98NdrGRFicyj9V5NCPjzel4t4F63A60zdP/BURNJw4AUF167odm/7hYpxNSrIgFRHZQVU3qerUIkVgbwAb4CwEkwHsBbASwGQA41T1Rtepvl6DxR8REREREVlKRPDi7a3RqWnURY8P6tYE7w/pjjo1qtmUzD/F1a2Bj0f0QNfm0YavWbcvDX1nr8E+Hz3xNyg6Go0mvwyI+6XQR/72LPKOHrUgFfmIW1W1deHN7jBUPq7DQYoWgV3gPChkI4Bl5V0abAUWf0REREREZLlqQYGYfU9HNKgViqAAwUt3tMGEPm0REsQfUewQFR6CRYO7ok+Hxoav2ec68XdtyikTk9knvEcP1B4y2O04R0YGDo8bD3X47vJnIiqZqwicUsbSYNuLQPHljVnpUiLSEsCOoo9t374dCQkJNiUiIiIiIn+29VA6svMKyjXbjMyjqnh91R68mmT8xNrgQMGU/leiT4cYE5PZQ/PysP/uQcj++We3Y+s+9hjqDE+0IBVVFTt27ECrVq2KP5ygqjvtyEPWE5EOcO7719t1vxHOU4RXquq3VmTgr9OIiIiIiMg2V8ZEsvTzIiKCR3tdhtfuao+QQGM/LuY5FI8v2YJXV/7qcyf+SnAwGk+fhoCwMLdjT7zxBs5v3mxBKiKqKkrYI3AYgDQAlv2WgMUfERERERERXeT29o3x/tBuiAoLNnzNa6t24/Elm33uxN+QJk3Q4IXn3Q90OJA6ZiwcZ8+aH4qIqqQiReCdVr0niz8iIiIiIiK6RJdm0fhkZE/ElePE3083H8b9b61Dxvk8E5NZL+L221Hr1lvdjss7dAhHX/yHBYmIiIxh8UdEREREREQlalYnHB+P7IFu5ViO/VNKGgbMWYPU9PMmJrNegxeeR3BsrNtxZz7/HBkrPrcgERGReyz+iIiIiIiIqFSRYSFYNLgb+nY0fuLvr8fOoe+s1dh++IyJyawVWKMGGk+bCgQFuR179MUXkZeaakEqIqKysfgjIiIiIqIqR1Xxr6RfMef7vXZH8QshQQGYPqAdnux9ueFrjp3JwcC5P+J/u0+YmMxa1du1Q92HH3Y7ruDcOaSOHw91+NZ+h0RU9bD4IyIiIiKiKuV8rgOj/5+9O49vqzrzBv47cfaQRFIChKSQRGJJQikgOWF7OzNtJNpph05LpaS0bIFYorSdaaczFm47b+k7FCO3M3SZFiSztwVsCdpCV6RM2yktEFsKS0koIIV9CYml7Jvt8/5h38u1reVKutKV7d/387kf27pH9z6Sj25yHz/nnPu24DuJFxD6zXOIb33b7JAmBSEEvrB2eMXfqfpuJfcd7seGO3sQS75W4+jqZ8HGqzH73HNLtjvYm8SuztvqEBERUWFM/BERERER0bjx1u5DWB95DL98+k0AgJTAP9+/BdvenDhDShvdP561BPduPAe2OdN1te8flPjX6FP43qYXIKWscXS1J5qasDgUQtP8+SXb9t15Jwb27atDVERE+THxR0RERERE48JTr+bwsf9+FE+/tnvE4weODGDj3b14Z+9hkyKbfJqX2fDgZ8/H0gWzdT/nTy/uxNGB8Z/4A4Bpxx+HRf9RfPXeWWefjWUPxNB0zDF1ioqIaCwm/oiIiIiIqOE9/NQbWBd+DDsKJPdezx3ENT9O4nA/51Srl2UL5+DBz56Ps060lGx7ynHHIHJZs+4hwuPBvAsvxPxPXjx2R1MTFv7TF7D0R/dg+nveU//AqNE9LIR4VtnMDoYmvolz1SUiIiIiognpjdxBfLn7KRzuHyzaLvlyFm0PPjMhhpOOFwuOmYH7Ws6FZ9XxBdscN3cG7rpqDebPnlbHyOpj0Ve+gmknnaT+PG3pSVh2709w7LXXQuhY/ZeIqNaY+CMiIiIiooa22DIL//Hx03W1/cXTb+KFHZxTrZ5mTW/CrZe6cPl5S8fsmzO9CXduWI0lllkmRFZ7U+bMwZJvdQBNTZjv/STsDz6IWWeeaXZY1NguklKermxmB0MTH/8EQUREREREDW/96pPw/Nv7cPuj2wu2WXjMDEQud+HU4+fWMTICgKYpAt/42OlYYpmF9l8/BwCYOkXglktdOH1x6UUwxrNZZ54J+y8exozly80OhYhoDFb8ERERERHRuPCVj6zE3512bN59q06Yh59//gI4T7LWOSpSCCEQ+FsHvnfJ2Zg+dQraLz4Df3Nq/t/XRMOkHxE1Klb8ERERERHRuNA0ReB7l5yNi3/4Z7yoGc77odOPx83rz8Ls6by9aQQfO3MxXEutE3Z4LxHReMKKPyIiIiIiGjfmzZyG269ohmV4oYjPf+Bk3PIZF5N+DYZJPyKixsB/HYmIiIiIaFxZumAObr3Uhbf3HMI/nrXE7HCIiIgaFhN/REREREQ07pxrX2B2CFQjv3z6TSS2vY3QJ9+H6VM5SI2I6kMIcRaA9QB6pJQPmh2PUZj4IyIiIiIioobw5xd34ktdT+LIwCB27juMWy514ZgZE/e2df/jj2PmihVosljMDoVoUhNCfBJAt+Znh5TyJfMiMg7/fEJERERERESm+8vru+H/URJHBgYBAH98YSc+3fk4du47bHJkxhs8fBhvt9+EV67cgDe/fj2klGaHRDTZtQEQwxsA2E2MxVBM/BEREREREZGpXt61H1fe2YN9h/tHPP70a7vhveXPeLXvgEmRGe/Q88/jJd869N19NwBg729/i90//ZnJURFNenYAHQAyAB6QUv6PyfEYhok/IiIiIiKadAYHWWHVKN7ZexiX37G5YGXfS7sO4OJb/oytb+ypc2TGklKi754f4SWvD4eff37EvrdvuAFHXnvNpMiICEAfgBullCdLKddVehAhxHIhRLuBcVWNiT8iIiIiIpo0pJT44e9fhP9HvRhg8s90+w73Y8Ndm/HyruIVfe/sPYz14cewY++hOkVmrKM7duDVFj/evvFGyCNHxuwfPHAAbwSvgxwYMCE6IgIQA3CdAcexA2g14DiGYeKPiIiIiIgmhSP9gwg+8DQ6fvNXJLbtwA2/3Gp2SJPe69mDeCOnL5nX8jd2HDd3Zo0jqo0d3/o29j/6aNE2B5NJ9N15Z50iIiItKeV1AC4UQlxd5aEabqUeJv6IiIiIiGjC233gKK64YzO6e98dTnnnn17CPY+9ZFpMBJy2aC5i15yHJZZZRdtddu5SfOGDJ9cpKuMdH2xFk81Wst2O734Ph557rg4REdFoUspmAB8SQvxWCPHBCg/TcIuCTNx10YmIiIiIiDC0cMSGu3qQeWf/mH3XP/QsTrTOxgdWHGdCZAQA9mOPwYPXno8r7tiM597aO2b/R85YhOs/djqEEHmePT5MXbgQJ9xwA1679tqSbQ9tew4zV6yoQ1RkkoeFEOp4bynl6WYGQ0OEEMuGv20F4AIQEkLYASQwtODHruGvxdgxtDpwQ2Hij4iIiIiIJqyel/rgv6cX2QNH8+4flMDn700h9tnzsfKEeXWOjhTHz5uJrsB5aLmnF5u396mPn2u34b/WnYWmKeM36aeY+8EPwOLzIReN5t0/49RTsbgjxKQfkTkyAEZP/CoAeMs8jgCQNSQig3CoLxERERERTUj9A4NojT1dMOmn2H9kAFff1YMde8bnwhETxfxZ03DPVWvw4dMXAQBWnjAPkcubMXNak8mRGef464KYduKJIx8UArarr8KyWJRJv8nhIinl6cpmdjCkymAoaafdkOexUlvDYcUfERERERFNSFObpuCWS53w3vIY9h3uL9r2nX2H8dRru+FZNT4Xj5goZk5rwg8+48R3E8/j0nOXYt7MaWaHZKgpc+ZgcegmvHzpZcDgIKYtXozFoZswe/Vqs0MjmuxyGKr42wKga/jncjkA+NFgC3ww8UdERERERBPWikXz8P1Pn42r7+rB4OhBXMPmz5qGWy914TzHgvoGR3k1TRH4lwtPMzuMmpntdGLBxo3o37kTx3+lDU3HHGN2SEQEKHMMfFBKuafSgwghMgBuMSYkYzDxR0REREREE9oHTjsO3/jY6fj3nz87Zt+yBbNxx5WrYT+WyReqn2O/9MVxvVgJ0QSUAbC8mqTfsLQRwRiJc/wREREREdGEd9l5y7DhgmUjHluzzIafXnsBk34TTP/AIHaXmNfRbEz6ETWcJIaG+Varz6DjGIaJPyIiIiIimhS+9tFVWLviOADAxWcvwY82roF1znSToyIjDQ5KXPfgM/jkrX/Gm7sPmh0OEY0TUspOKeU6A46zRUrZbERMRuFQXyIiIiIimhSapgh875Kz8bMnX8en15zEqqsJRkqJb/5qG2LJ1wAA3lsew483noPlC+eYHBkRkXlY8UdEREQ0QcRiMQQCAbPDIGpoc2ZMxWfOWcqk3wT0g9+9iNsf3a7+/HruINaFH8Pzb+81MSoimiiEEMuEEGcNf51ndjx6MfFHRERENEG0t7cjEokgk8mYHQoRUV396LGX8O1Hnh/z+Dt7D2N9+DE889ru+gdFROOaEGKeEOJfhRA9QogBDC3ckRz+mhVCvCCE+KEQYpmZcZbCxB8RVSQSiUAIUdZmtVrhcrkQCASQSCTMfgkTXiQSgc/ng8fjgcPhgNVqrboSKJVKqcd0uVywWq2wWq0GRdxYcrkcgsEgHA6H2ocdDgd8Pl9F/TeRSMDn88HhcMDlcqnHSqVShsadSCQKfgY9Hk/Vx8/lcrBarQXP0Qjq3U9r8VmrRCaTUftTOByu+/mJiMzy8ydfx/99aOyKzYrsgaP4dOfj6H2pr45R1cahrVuRe+BBs8MgmvCEEP8GIAsgBMAJQOTZ7AACANJCiB+aFGpJTPwRUUX8fj/S6TTS6TSi0eiIfV6vV92nbMlkEp2dnXC73ejt7YXH44HVakUkEjHpFUwONpsNmUwGmUwGuVwOfX3V/4fXZrMBGEqu5HI55HK5qo/ZaCKRCJYvX45cLodwOKz2Ya/Xi1gspiaU9FZV+Xw++Hw+rF+/Xj1WOp1Wj2Nkksjtdo/5bFosFgBDScFqK8Ha29vVPqCcLx6PI51OI5vNVnVsI9W7n9bis1YubbIvFovV/fxERGb404s78eXupyBl8XZ7D/fjsts3408v7qxPYAaT/f3Yeeut2L5uPd68/noc2rbN7JCIJiwhxG8B3ISRSb68TTVbQAjxvBBibn2i1E/IUldImlCEECsAjPhXYuvWrVi5cqVJEdFE4fF41CqoaDQKr9dbtH0sFoPP5wMAOJ1ObNq0SU1OkPGsVityuRy8Xu+YRG2lfD6fmlyYSP+WxGIxtLS0IJlMwm63j9mfSqWwdu1aNZGUTqfztlO4XC6kUikkk0k4nc4x+xOJBDwej6G/Gy2fzwe73Y6Ojg4AQ0n7aqrBPB4P7Ha7mrSPx+Nwu92GxFoL9e6ntfis6eVwOEYkdgv1OSKqziu7DuCkBbPNDoOG5Q4cwYa7erDlFX1/4Jk+dQpuvdSJD644vsaRGefIyy/jjeB1OPjkk+pjM045GctiMUyZMcPEyKiUbdu2YdWqVaMfXimlfM6MeKi04aSfMkwmBiAOoHf45xyAPgA2AJbhr87h9sp/iF+UUp5at4B1YMUfEZlCe1OsJFKodrQVWkZZvXq14cc0mzK8t1DSDxhKVGsTOsWGz3Z0dCCVSsHv9xdMwLjdbrWSsBYVsDabTU3WAUB3d3fFx1KSlONJvftpLT5reqRSKfT19Y34o0tXV5cpsRBNZHf/+SV84D9/j4efesPsUGiYZfZ0/GTjOXj/KQt1tT/SPwj/PUn88uk3axxZ9aSUyN7fhczHPzEi6QcAh194Ee/c/B2TIiOamIQQN2EoidcBwCqlXCel7JRSbhnetkspdw9/3SKl3CSl/JaU8kIAVgAPADi50Yb9MvFHRKbxer1qMiKVSiEYDJoc0cQ1GaopHQ5H1XNHtre3w+12F63gA4aSdUoiL5PJ5E3YKUlEACX7tjLUt5afAeXYuVyu4mGg4XAYfr/fyLAmHLM+a11dXfD7/Vi/fr36GKdSIDLO4KDEDb/Yiq8/9CwGBiW+HH0KPRNgvriJYvb0qbjtimZ4Vumr4usflPjCfSk8kHytxpFV7uiOHXj1mmvw1vXXQx48mLdN3913Y//mzXWOjGhiEkIsB9AKwC+lvE5KWdaKQMMJQR+Ab2Fo2O8y46OsDBN/RGQq7RBB3qRSNZT51aoRi8UKJvJG0yZY8g2d1VbW6UkkAkNJuVotfLNu3Tr1+0qG+ipDmydDEnk8ikQiWL9+/YiKv1wuZ/jiMUST0aGjA/jcvSnc9uh29bEj/YNouacXmXf2mRgZac2Y2oQffsaJj525WFf7QQl8OfoUfvT4yzWOrDL9b7yB/X98tHgjKfFm21cwsG9/fYIimti8AGJSytuqOYiUMghgC4YW/WgITPwRkam0SYSJulAEjR+ZTAaJRAKBQKBkVZw2mZcv4agMBy6V9FMon4VarcZqsVjUpFAli3xEIhFTVqql0lKpFGw2m1qFqk3+cXVfours2ncYn+58HL/+y1tj9uUOHMWVd/Zg177DJkRG+UxrmoKb15+F9c0n6n7Ov//sL+j83+r+cFgLs846Cwv8LSXbHX39dewYnseXiKqyDsCNBh3rOrw755/pppodABEAHH7hBbNDMNzURYvQNLe8BX0G9u5F/1tj/2OpNeOUU6oJq+GMTvSxmogaRanEmDahly9hrVTu6U382Wy2mldoaROa4XAYoVBI93Pj8ThaW1trFRpVIRwOj0j2aX/P3d3dTP4RVWj7zv248s7NeHnXgYJtXuk7gI339OK+lnMxc1pTHaOjQpqmCLRffAZmTW/CXX9+Sddzvvmrbdh/pB//vPYUCFFo8c76O/baa7H/f/+IQ1u3Fm2X6+7GXI8bx7z//XWKjGhCskspnyzdrDQpZUII0TCTLTPxRw0hc9HHzA7BcEu+czPmffjDZT1n/5/+hNe/+KWibVY+t63o/vGmt7dX/b7USsBEtRYKhdDe3o7m5uaSc9lpE4Ojk3vF9hVit9sNGa5cjDJ/oTKcWW/ibzwu6jGZdHd3I5lMqj+73W5YLBa1ijqRSDT0ystEjerJV7NFk36KLa/k8MX7n8QtlzobKmk0mU2ZIvD1i1Zh9vQm/PD3aV3P+U7iBRw4MoC2v1/RML9HMX06FneEsP3iT0IeOVK07Ztf/RrsDz+Epvnz6xQdVeFhIYT6C5VSnm5mMKQy+oPfMBUtHOpLRKbJZDJqdZPdbkdnZ6fu5yoLJ7hcLrhcLjgcDjgcDgSDwYLVV0IIdbNarSN+zjenm8vlytteibmjowM+nw8ejwcOhwNWqxUdmqEWsVhMjc9qtcLlciEQCJQ9nDkSicDj8ajHcrlc8Hg8FS/QoFcikYDP54PD4VDP6/P5yp6DTvldKe+VsinvRSwWa5ghpK2trchms4jH4yWrT3t6etTvR6/YW8mQ9dHD3mtFea/LmU/QyEU9jO7PRvVTRbnXFrMlEgnYbLYxCWbtnI7aVaiJSL9PnP0e/PPa0iMtpgjgglMWNkyyiIYIIdD64RX4tw+dpvs5kf/N4PqHnoWUsoaRlWfGySfj2C8VLwwAgP4dO/DWN79Zh4iIJqw+IcQ8Iw40vFDI9pIN64SJPyIyRS6XUyuI7Ha7rkSLoqOjA1arFalUCtFoFMlkEul0GvF4HIlEAlardUwSwe12I5lMIhqNwm63qzfwXq8XyWQyb1IjGo2qVYi5XA5+vx/JZFJN8lgsFthsNrVKS5sU8Pl86OnpwaZNm5BMJpHNZhEIBBCJRLB8+XJdVV2JRAIOh0MdkplMJtVNqUxzOByGV4hlMhk1GePxeJBOp9XzdnZ2IhwO607UKcnP1atXIxqNIh6Pq1swGMTatWvh8/nQ1zf+VkbU9rHR74f29VQyfL2W74e2r+sZAmrUoh5G92cj+6mikmuL2aLRaN7X6fP51O+5cBJR5b7oPgWfdL6n4P7Z05tw+xWrcdm5S+sYFZXjcx84Gf/+D6t0t7/7sZfx1Z/9BYODjZP8s11+GWY1u0q22/PQw9jzyCN1iIiqdJGU8nRlMzsYUqUAlJ5YUx8/gGTJVnXCxB8R1VUmk0FHRweWL1+Ovr4+hEIhpNNp3cMhg8EggsEgvF4v4vH4iOfZ7XYkk0nY7fa8FT9OpxNer3dEssPj8Yyp1tIeT6lCDIfDCIfDI9r6/X6Ew2Gk0yOHkAQCAQQCAYRCoRHJEr/fD7fbjVwuVzIhEYvF4PF41Nc0Okan06m+VofDYdhKsKlUCi6XC6lUCul0ekxC1GKxIBqNwmKxoL29veixMpkMfD4fQqFQ3mHcdrsdmzZtGpfzOqZSKTVB5Xa7xwyjrLYyrJaVZRaLRY03FouVPFd3d/eIFYwrYXR/NrKfKqq5tpgpEonk/Xwpw30VjRQz0XgixNB8cec7FozZd+zcGegOnIcPrDjOhMioHFf/n+Vov/gM6C3KvPeJV3Ddg09joEGSf6KpCYvb2yFmzy7Z9q3rv4H+XbvqEBXRhBMB0CGEqOovOcPVfq0AGmaOPyb+iMhw2mFy2uFyQgi14icajSKbzZa1WEAsFlOH0hYbFhwMBgGMrcJSKPOcAaUrnjKZDJxOZ8lhjsrx4vE4+vr6Cs6npVQ5FrsJT6VSarVOqSF6yn6fz2dIsmnt2rXI5XIIh8NFk7GhUKhkslZ5b4vN3WixWAwbQlpPSh8D8vehaiv2al0Bqf1slKoG01a+VsLo/mx0PwWMu7bUWywWg9PpLPgatcN9ucAHUeWmT52CWy514dTjj1EfO/X4Y/Czz12A9y7hfGrjxSVrTsLN685C0xR92b/u3tfwb9GnGib5N/3EE3G8jv83D/T14c2vf72hhisTjQdSygSAJwEkhRBnVnIMIcQHAfQCyEgpHzQyvmow8UdEhhs9jE/Z4vE4vF4vMpkMgsFg2UPmlJtur9dbtEpMudnNZDIFE2zKjbu2ciufrq4utLW16Y4xkUgUXTCh1EqwANDSMlRh7vf7S1bDWSwWeL1e5HI59XmVUuYw05uMK7VYgDIXYqlKo/G2aEQsFlNf0+jKsPFC+xkqlhBKpVIFK2L1Mro/G91PlWMCxlxb6qmrq6toNaY2QdloQ5SJxpv5s6bhzg1rcNzcGTjfsQDRa87HEssss8OiMn387CX4waedmNakL/n34JbX8aWuJ9E/MFjjyPSxrF+HORdcULLdvsQm7Hn44TpERDTh+ADYAKSEEPcLIc7S8yQhxAeHV/GNY2hRD1+Jp9QVE39EVBfK8EJlnjelCkg7D1UxsVhMTdCVGnZosVjUZIySfBpNmzAolqiLxWJlVTtpz11KvqquVCqlxqz3vVESZ9r3qFy5XE6t/NJWCVVDeR9KDY1sbm6ueihpvWgTUtFotGBSyWaz1TOsiiifAe0iO6NVMk+eltH9uRb91OhrSz3FYrGiyU+n0zkikcnkH1F1llhmIXrNebhrwxrMnzXN7HCoQh9+7yJ0Xt6MGVP13Qo/9NQb+Of7n8TRBkj+CSFwwjdvwJS5c0u2fes/bsDRt96qQ1REE4eUMgPgQgyt8OvDUPXfgBDiBSFEjxDit0KIruGvPcOPD2Ao4edVnielfNK8VzHWVLMDIKLJx+12qwmFWCyGYDBYNPkGDFVWKfQk1ux2OzKZzJj59xRKZVEsFkMkEslb9VRu0k9PbKUqnrq63p0KQm/ySHvOWCxW1pmErAoAACAASURBVPBpRXd3t/q9w+Eo+/n5BINBRCIRdSEXi8WCdevWqfMqKnErv4vREolE2YlMbT/Ro9xhxtohpqWGMFejHonDQCCgDm9tb2/POww3k8lUVdFodH+uRT81+tpSL8owX6D4nJDr1q1Tk6Wl+i0RlbZ0wRyzQyAD/N1px+HODatx9V29OHh0oGT7Xz7zJvoHB/H9S5yYrjNhWCvTFi3Coq99FW8EryvabnDvXrz5tX/HiZ0RrjhNVAYpZUII0QwgCmD58MPF/pOofMByGEr6baplfJVg4o8agv3hh8wOwXBTFy0q+zlzLrhgQr4X+fj9frWSqKOjo2Tir7e3V/2+paWlZBJBaV9srrS2tja1AiYSiYxJAhVKhhRTTpIk3826topIb/JI+1709PToPr+WNolh1GIbymrNynxtSrWWkoSwWCxoa2srmKgMBoNlV1XFYrGyqpqam5t1D2UNBAJIpVIIh8MlE4ba30klcy/WY8ETu90Op9OJVCqV9z2LxWJVz2VndH+uRT+txbWlHsLhMFKpFKxWq+7nJBIJdZg0EdFkd75jIe7asBob7urBgSOlk3+/ffZtXPuTJH7wGSdmTG2qQ4SFzfvYx7A3kcDeePFpJ/Y/+ihyXd2wfmp8jKwgahRSyhQAhxCiFcB1GBq+W0wEQFBKubvmwVWAiT9qCDNOOcXsEBpC09y5aNJRuj8RlZpLTJs8MWolWKfTqSY+RidzMpkMbDZb3edv01a4VVL1VekCH9rzGvma3W43stksgsEgEonEiERQLpdDMBhEe3u7umKqVjKZLOtcQghdSblKdHR0IBKJ6F7oQts/9SaIavU7KKatrU0dgjs6+R0Oh8uuoBzN6P5ci/eoFteWWsvlckgkEshms7ridTgc6nvX3d09LhfUISKqhXPsC/Cjq9fgijt6sO9wf8n2iW074L8nifBlLsycZl7yTwiBRddfjwO9SQxks0Xbvt3RgTkXnI/pJ55Yp+iIGosQ4hYAfgASgEtK+ZTe50opOzC00u/ZANwAHBiaA7APQxV+8Uas8BuNc/wRkWm0N6zaqpt8tDf5RlbaaBf50CalQqHQiJVb66WShJG2XaVJi2or1EpRFnyRUiIejyMUCo0YptjIC3wow9HLWd1WzyIuoynt6pls1r4e7XD3aof4Kozuz7Xop7W6ttRSd3c33G637s+7tnKz3CpmIqKJzrXUhh9vPAdzZ+qrifnD8+9g4929OKijSrCWpi5YgEXfuL5kO3ngAN5oa4McNH+OQqJ6E0K0AAhgaDiuAHBNJceRUm6RUn5LSnmNlHLd8NfrxkPSD2Dij4hMpL2JLzVfViWJFD20lS/t7e3q94lEQtdqoEZrbm5Wv6/kdVaarHG5XOr3RiU/Ojo68r4Gt9uN1tZWJJNJNdmUyWQacuGBRCIBn89XMumXL0msJDb1zlOotKt2Fd1yKZ8BbfK72kU9FEb351r001pdW2opGo2W9fvR9l1luC8R1d/m7X343V93mB0G5XHWiRbcu/Fc3Yu2PPriTlx1Vw8OHCldJVhL8y68EPMuuqhku4O9SfTdc08dIiJqOEEAyk2GAFB0SJEQ4hYhxLIax1R3TPwRkWm01Sql5nLTrghaqjpQS88NrpL4iMVi6jx0RiQ9KqGtfNObMNK+d5WujqtNcpY7xLaQeDxedDVfYOi9V+b4q3R+wlrJZDK6kn5A/tVSld+Fnt+jtp/We4VjbV9XErGlht7rZXR/rkU/reW1pRaUYb7lLNKhzOeo0C6SQkT18dBTb+DS257A536SwjOvNeQUUJPeGe+Zj/tazoV1tr7k32OZXbhS5xDhWlr0ta9i6nHHlWz3zn/djMMmL0xFZAKrlHIdAA8Aj5TythLtAyi+kEdJQoizhRANdWPDxB8RmUZb8VcoKaAkVNxut1qZo3eomjJEsxRtG2WFX7PmwPJ6verr1Du/mtJOmbOwEna7XU2qlErWKfQkPvKtljyaktxZsGCBrvPWgzL8uLOzs2SCJZVK5a201PahUu+pkogptMJxLWn7TXd3N2Kx2IhkWDWM7s+16Ke1vLbUQiQSqaiPaJOoej6XRGQMKSVu/UMa/3TfFhwZGMSBIwO46u4evNp3wOzQKI9Vi+fhPv+5WDBnuq72m1/qw+W3P4E9h47WOLLCmubPxwk3/EfJdvLIEbxxXRtkv7mJSqI6ywohlkopN9VxWK4NQH2H8JTAxB8RmUZ7U5/JZMbcoKdSKXR1dak/KzfloxeJKCQYDOqq3NNWw7S3t8Nut5s6wb9yUx6JREomLTKZjJoA6ezsNOS82mMWo7eN3kqveg9xLWbt2rUIhUK6EixdXV15Y7dYLGo1Y6lEi7K/1OrWlejr6yvZj5TPSS6XQ0tLC9atW2fY+Y3uz7Xop7W6ttRCOByuqCpUm4hOpVIc7ktUB/0Dg/j3n/8FN/36uRGPv7P3MDbc1YPdB8xLFlFhKxbNw/3+c3Hs3Bm62qdeyeGKOzabmvw75m/+BhYd/3YfeuYZ7Kry/4tE40wKQL3/4tlwK8Ux8UdEVcvlciOGyOmt7Bl94zz6Bj2RSIwYKuh0OtWbfp/PV/TGNRAIwOv16k4mtbW1ARh6LdXc0Je6mdZzs+12u9XXuXbt2qJtlfcnGo3qXhW5ELvdriZAAoFA0eeMrggrp+1o4XAYTqfTlDkV8/F4PMhkMgiHw/B4PAU3l8sFq9WKjo4OOByOvMdSFjGJxWIFE1CRSASpVAput7smlaaJRKLkZ1Kb6Ctn0Qg9jO7PteinRl5baplQi0QiyGQyFc1vaLFYRsQciUSMDI2IRjlwpB+BHyXx48dfybv/xR374P9RLw73m7tABOV3yvFzcb//XBw/T1/yb8tw8m+vicm/41pbMW3JkpLt3vnBD3Fo27Y6RETUEG4CcKEQ4jdCiDPrdM7VdTqPflJKbpNoA7ACQ8tYq9vWrVslUbmi0ai0WCzSYrHI0X1K2ZT9xcTjcfUYdrtdfTyZTEqn01n0ORaLRYbD4RH7ksmkdLvd0u/3l/2aLBbLiBhKyWazMp1Oy2g0OuJ1x+NxmU6nZTabHdFWiU1p5/V6ZTKZlOl0Ou/xlffYbrfLeDw+Zp/dbpcWi2XMvmLxKe1Hx6elvL92u11Go9ER+5TXEI1GZWtrq3pcu90uW1tbZSgUUtu63W5psVhkKBSSbrd7zOvMZrPS7/dLu91e8D0oB4Ax/aFcfr+/YH8utiWTyYLHzGaz6u999PsZDofVvmCkZDKp9hFtf1N+9/l4vV61/xZ6HUp/0n7u3W632o8L9Skpq+/PoxnVT/Mds9xrS6WfNT3S6bSMx+Pq70fZwuGwrs+Ncu1R+troYxS7BhFRZQ4e6ZcXff+PcmnwFyW3L9ybkgMDg2aHTAVsf2efPO/GhK7f5dLgL+THf/Co3HPwiGnx7nviCbn1tBUlt/RFH5MDhw+bFudksnXr1nz/d1whGyA3MFk2DFX8DQIYAPACgC4A7QD+Nc82COC3AG6pcOtSzmX269ZuYviNoElCCLECwIg/8WzduhUrV640KSIar3K5HDKZTMnKoFwup6vqrqOjA11dXchkMrDb7bDZbIhGo0WPH4lEEI1G0dvbq84X6HQ60dbWVtGw0UAgAIfDoQ7PLMXlchUdFuj3+xEOh5FKpUasRppPOp0uuCKv8jq1Q2btdjt8Pl/RCjGPx1N0mKMSXyHKfIe5XA4WiwU2mw12ux2hUAgWiwXBYBCRSAQ2m23EfuWYgUAAgUAATqcTqVQK7e3tI16DzWYr+RrKIYSoan7GXC4Hq9Va0XOz2WzJz0IikUAoFBpRrWW32yvur8XOo62UzSffv/2pVAotLS15F83Qc8xix9aqtD8XO141/bRYjHqvLdV+1oopdp2x2+0lV0T3+Xy6Vswudg0iovLd+KttiPyvvqkufvgZJz5yxgk1jogq9WrfAXwq8jhezx3U1d55kgV3X7UGc2fqWyTEaG+3t6Pv7tIr+C7w+3Hcv3ypDhFNbtu2bcOqVatGP7xSSvlcvvZUG0KIOABl6Emx/6yKEvt1nQ5AVkrZMBOYM/E3yTDxR1SYw+FAMpk0dX4/qly1iT8iIiKjDA5KfOG+LfjlM28WbfcvnlPxhQ+eDCFEnSKjSryeO4hLIo/jFZ2LsriWWnH3VWtwzIypNY5srMFDh7D9ExfjyPbtxRtOmYJlXfdj1hln1CewSYqJv8YhhPACuA71WXijoRJ/nOOPiAhDFU1Op5NJPyIiIqralCkC/7nuTDQvzV9JPnWKwLd9Z+Kf1p7CpN84sMQyC12Bc7F84Rxd7ZMvZ3HFHZux73D9V9CdMnMmFoduAqaUuNUfHMQbbW0YPHy4PoERmUxKGZNSNksppwBw5NlOHm7qL7C/1OYC4AGwBQ22wAcTf0REGFqEQVngg8Ynu93OoYpERNQwZk5rQuflzWOSRXNnTMXdV62B1/UekyKjSpwwfxbuaxkfyb9Z73sfFvhbSrY78mIaO//7B3WIiKixSCm359mU+RkyBfaX2rZIKTdhaP7AhsLEHxFNGj6fL+98WblcDn19fYbOs0b1l06nG2ZlYCIiIgCwzpmOuzasxoI50wEAJ8yfiehnz8MFJy80OTKqxKL5M8tO/l1pUvLv2GuvxYwVK0q223X77Tj41FN1iIho0siaHcBoTPwR0aSQSqUQi8WQSqXGTLIfDAYRCoVMioyIiIgmsqUL5uC2K5rhPMmCn157AVYsmmd2SFQFJfm3bMFsXe17X85iw531T/6J6dOxuP1GYGqJeQYHB/FG21c45JdoSAyAvpWZCssA+JYBsRiGiT8imhSUIaAWiwWBQEB9PJFIIJPJsFKMiIiIaubsk6x44LPnY9H8mWaHQgZYNH8m7vOfi6U6k389Lw0l//bXOfk3c+VKLLzmmpLtjmQy2Pn979chIqLGJqVcJ6V8qcpjbJdSXmdQSIZg4s9EQgi/ECIphIhrNmYfiGrAYrGgtbUVzc3N6pDeVCqFYDCIaDRqcnREREQ00XERj4nlhPmzcH/Zyb+euif/Fgb8mLFyZcl2u+64EweffLIOERFRvTHxZxIhRBxAAMBaKaVHSukZ/jkqhOCYQ6IaCIVC8Hg8cLlccLlcCIfD2LRpE1fyJSIiIqKyKQt+6E3+7dh7qP5DfqdNw+Kb2oFp04o3VIb8HjpUn8Amt4eFEM8qm9nB0MQnpJRmxzDpCCFaAYQAODQrxyj7vACiAHxSylgNzr0CwDbtY1u3bsVKHX8FIiIiIiIiopHeyB3EpyKP45W+AwXbLFswG/f7zzNtuPc7P/whdn6v9HBe21VX4fjWf6tDRJPDtm3bsGrVqtEPvwjgiPKDlPL0ugZFkw4r/swRApAanfQDgOFkX264DRERERERTXIDgyzWaGSLLUPDfk+y5a/8W75wjqlJPwBY2NKCmWMTUGP03XknDmzZUoeIJrWLpJSnK5vZwdDEx8RfnQ1X9AFAb5FmGQB2IYSzDiEREREREVGDeu6tPbjw5j/gL6/vNjsUKmKxZRbu85+LE22zRjy+fOEc3NdyrukLu4hp03BCu44hv1LiTQ75JZpQmPirP8/w13SRNkolIBf6ICIiIiKapB59YSd8tzyG9Dv7seGuHryWLTyUlMy3xDIL9/vPU5N/9oVzcL/f/KSfYuZpp+LYz11bst2Rl17CO9/5bh0iIqJ6YOKv/pqHv+aKtOkb/uqocSxERERERNSAYsnXcOWdm7F3eDGId/YexpV39mD3gaMmR0bFLLEMLfjxt6cei/v85+L4eY2R9FMs2LgRM08vPbq07+67cSCVqkNERFRrkzbxJ4RwCiGyQoiKlvMUQriFEFEhRFoIkRz+GtUxPLec89kqiY2IiIiIiMYnKSW+m3gB/xp9Cv2j5vZ7ccc+BH7ci8P9AyZFR3q8xzobd1+1puGSfgAgpk7FCe03Qugd8nvwYH0CI6KamZSJPyGEH0AS5SXhtM+PYmjl3S4ppUNK6ZJSOgDEASSFEOEiTy8nmVdRfERERERENP4cHRhEa+xp3Jx4vmCbxzN9CMaehpRc8IMqM/PUU7Hwc58r2e7Iyy9zyC/RBDDhE39CCMtwdZ9XCBESQmQBFEvMlTpeEoAXwNrhFXhVUsoIhubw8w8nB4mIiIiIiHTp7n0V0eRrJdv97Mk38J+PFE4OEpWyYOPVmPne95Zs13fPPTiQTNYhIiKqlQmf+AOgVPeFMFRB5wMQqeRAQohWAE4AESll3gkPpJQJADEA3uHKwtH68jxWSLF5AImIiIiIaAK5ZPVJ+Pv3LtLV9rm39qB/YLDGEZEZXu07gMHB2lZ0iqlTsfimdl1Dft/4Cof8Eo1nEz7xJ6XskFKK4SG5geHEXNkJteG5AEPDP4aKtcW7FYX52inn1jOMt5wkIRERERERjWNTpgjcvP4sOE8qfqtw2blLEb6sGVObJvzt3KTz5Ks5fPR7f8T1Dz9b8+HcM04+GQu/8IWS7Y6+/Ap23HxzTWMhotrhvxT6rVO+kVJmijUcTi4CgEUI4R61W3nugiKHsA9/TZcVIRERERERjWszpzWh8/JmLFswO+/+tr9fgf/3j6ejaYqoc2RUa8mX+3DpbU9gz6F+3PPYy7jhl9tqnvxbcNUGzHzf+0q22/OrX2Ngz56axkJEtcHEn36+4a9Fk34aSmVfYNTjPcNfi/0ZT1kAJFakDRERERERTUALjpmBuzasgW3OdPWx6U1T8P1Lzkbgbx0Qgkm/ieaJzC5cdvtm7Dvcrz52+6PbEfrNX2ua/BNTp2Lxjd8sOuR37oc/DPtDP0fTvHk1i4OIaoeJP/2Uyj29iT9lmK5z1OPK/IKjKwG1nABypSoLiYiIiIhoYlq2cA46L2/GjKlTMH/WNPx44zm46MzFZodFNfCnF3fiijs348CRgTH7bv1DGjcnXqjp+WecfDKO/ed/GvN4k9WKJd+5Ge/5zs2YarPleSYRjQdM/OkghLBrftSbjFPaaZ8LKWUOQ8k/+6jjKufyDn/bUm6cREREREQ0cbiWWnHLpU488NnzsWY5Ey8T0e//ugNX3dWDQ0cLL9TyvU0v4L//p7bJP9uGDZh55rtDfud+6EOw/+JhzPvwh2t6XiKqPSb+9NGzEMdo6gIiwwuDqKSUAQAJAHHtPiGEE0AnhlYNrniYrxDi2EIbAGulxyUiIiIiovr64IrjcfJxx5gdBtXAvsP9+GLXkzjcX3p15m8/8jziW9+uWSyiqQmL29sxddEiLLn5v/Ce734HUxcUm5aeiMolhGg347xTzTjpOKT981rZKwIPP3/E86SUHiGEH8AmIYR29d6WapJ+w3ZU+XwiIiIiIiKqoWNmTMUtn3Fhw12bi1b8AcDFZy/BB047tqbxzLDbcfIjv4WYPr10YyKqRCuAtnqflIk/fSqp+Cv5fCllBO/O+UdERERERESTyHmOBei8vBlX392LIwUq/9Y1vwftF7+vLis5M+lHVBkhhLL6TaF5GVz1imU0DvXVp9oJNTghBxEREREREY3x/lOORfhSF6Y1jU3sfeack3BTnZJ+RFQeIcRGIcQLQogBANnhLV1g60ZlI0irxsQfERERERHRBLT7wFG88PZes8MgHT6w4jj84NNOTNUk+K48fxlu+Ph7MYVJP6KGI4T4JIZGcDoACJ2bKZj406evdJOGclyR7XwT4yIiIiIiojp4LXsAn7z1z/jMbU/g9dxBs8MhHS48fRG+d8nZaJoiEPgbO75+0SoIwaQfUYMKAIgBcEkpp5TaADSj+mnkKsI5/vSpthyzrolDKeU7hfYJIbg0ExERERHRBPbMa7tx1d09eGfvYQDAhjs3I3rN+Zg/a5rJkVEpHznjBCxbMAcrT5jLpB9RY7NJKS/U21hKmRImfahZ8aePNnFXSYbWlHHcREREREQ0ufzuuR1YH3lMTfoBwPNv78Nnf5wsuHgENZZVi+eNu6TfkZdfNjsEonrLVPCcgOFR6MDEnz7axJ3ehTrsyjdSyko6BBERERERkW73PvEKrr67BweODIzZ9+f0Llz3wNOQUpoQGU1UA7kc3gheh/RHPoqDf3nW7HCIGpqUstOM8zLxp8OoxJ3eij+lHZN+NCFFIhEIIcrarFYrXC4XAoEAEomE2S9hwotEIvD5fPB4PHA4HLBarQgEqvsjUyqVUo/pcrlgtVphtVoNirix5HI5BINBOBwOtQ87HA74fL6K+m8ikYDP54PD4YDL5VKPlUqlDI07kUgU/Ax6PJ6qj5/L5WC1WgueoxHUu5/W4rOmiMViZV9rtddcj8eDjo4O5HIcfEA0kQ0OSnT85jl85afPYLBIXu/BLa/j5sQL9QuMJrS9iQTSF12E3T//OTAwgDe/+lXII0fMDouoXsJCiPZyniCE2FWrYIph4k8/5c7MXrTVu5R2xt7RETUIv9+PdDqNdDqNaDQ6Yp/X61X3KVsymURnZyfcbjd6e3vh8XhgtVoRiURMegWTg81mQyaTQSaTQS6XQ19f9VOO2mxDhc+pVAq5XG5CJhQikQiWL1+OXC6HcDis9mGv14tYLKYmlDIZfX/b8fl88Pl8WL9+vXqsdDqtHseoJBEAuN3uMZ9Ni2Xob1GJREJ3zIW0t7erfUA5XzweRzqdRjabrerYRqp3P63FZw0YeT0dfa3VXoez2ay6aa+5fX19CAaDsFqtCAaDhsRERI1HAnhxxz5dbb+36QU89NQbtQ2ITHPvE6/g5V37a3qO/mwWr//Ll/Ha57+AgXd2qo8f/utfsTNiSkETUd1JKTcB6NOb/BNCzAdgSsWEmIyl3kKIEIDW4R+tUsqSdwNCiFYAIQCQUhYtaRBCWAAodz8+KWWsinANJYRYAWCb9rGtW7di5cqVJkVEE4XH41GroKLRKLxeb9H2sVgMPp8PAOB0OrFp0yY1OUHGs1qtyOVy8Hq9Y5IHlfL5fIjFhi5vE+nfklgshpaWFiSTSdjtY//Wk0qlsHbtWjWRlE6n87ZTuFwupFIpJJNJOJ3OMfsTiQQ8Ho+hvxstn88Hu92Ojo4OAEPJonA4XPHxPB4P7Ha7mrSPx+Nwu92GxFoL9e6ntfisaWmvtXrf+46ODjXp53Q6kUwmDY+LiMx38MgALul8HE++WvzWxrXUis7Lm2GbM71OkVE9SCnxg9+9iG8/8jyWWGah+5rzsMQyy/Bz7P3Nb/DWf9yAgUJ/4Jo6FcsfiGHmaacZeu7xatu2bVi1atXoh1dKKZ8zIx4qjxBio45mFwJYC6AXQyM+C12EnQDcUsomg8LTjRV/+qllSUKIUv/LXjf8NddIST+iRqK9KVYSKVQ72goto6xevdrwY5pNGd5bKOkHDCVOtAmdYsNnOzo6kEql4Pf78yb9gKGKOaWSsBYVsDabTU3WAUB3d3fFx1KSlONJvftpLT5rWpX8gaS1tVVNEKZSKUMrTImoccya3oTbr2jG0gWzC7b5yBmL8JON5zDpN8FIKdHx27/i2488DwB4PXcQl972BHbsPWToeY6+9hpe/7fWwkk/AOjvx5ttX4Hs7zf03EQm6QAQLrF9EkOVfB4MLd7RWmDzwKSFX5n402m4KrBj+MdS/2NW9nNMDVERXq9XTUakUikOQ6uhyVBN6XA4qp47sr29HW63u2gFHzCUrFMSeZlMJm/CTkkiAijZt5VETC0/A8qxc7mcWgFXrnA4DL/fb2RYE06jftZCoZD6fSQSqXrINxE1pgXHzMCdV66Gdfa0Mfta3r8c/32JEzOn1b3YhGpocFDiGw9vxS2/T494fPvO/bjsts3I7jduzr3pJ56Ihf6Wku0Obd2KXbffYdh5iUzUB2A3gAcAdBbZIpqtUJst0L9mhKEma+JP+2br/tO8lDKIoTn7vIWq/oQQfgyVcCaklJy8jKgE7TA1zvdH1VDmV6tGLBYrmMgbbf369er3+YbOaivr9CQSgaGkXK0Wvlm3bp36fSVDfZWhzY2a2KLiRlecVpr8JaLGZz/2GNx2RTOmTx261RMCuP6iVfjqR1dhypTGWISJjDEwKHHdg0/jrj+/lHf/X9/ei8vv2Iw9h44ads6F11yDGaecUrJd3113YfDAAcPOS2SSHICwlHKdlPKaajYMDQc2xaRI/AkhLEII+/DmxbtDcYGhlVjcw/ssw/PzFbMWQAJAfPhY2vP4MVTqGZNSjq+xUEQm0SYRJupCETR+ZDIZJBIJBAKBkokRbTIvX8JRGQ5cKumnUD4L1cy/V+r4ytyblSzyEYlEOER0nNP2xV27TFlUjojqxLXUhu+uPwuzpzchfKkLV16w3OyQyGBHBwbxxa4n0d37WtF2z7y+G1fd2YMDR4wZeiumT8cJN94ITCmcSpjzf/4Plj8Qw5TZhYedE40TfQDSJVvpMDyK1JS/vkw146T1JIRwAig2i7V7eFNkADgKNR7+ZXmGK/6CQoi2Uc91SSm5km+Znn97r9khGG7R/JmYN3PsMIti9hw6ird2F5+L49Tj51YTVsMZnehjNRE1ilKJMW0SJV/CWqnc05v4s9lsyOVySKVq90+INqEZDodHDP8sJR6Po7W1tXRDaljaPj0R5+gkopH+/owTsGa5DQuOmWF2KFQDA4MSffsP62rb+3IW/nuSuO2KZkOGes86471YcPVV2NV524jHp8ydi+Pb2jD/Ex+HEKwupfFPSnmhwcczpfhuwif+hpNwhl91pJQJDFX+kQEuvPl/zQ7BcD/4tBMffd8JZT3nj8/vxOfuLX7T/9JNH60mrIbT29urfl9qJWCiWguFQmhvb0dzc3PJuey0SZTRyb1i+wqx2+2GDFcuRpm/UBnOrDfxNx4X9aCRtBWsFouloVdiJiLjMOk3cc2c1oTOy5tx+e2b0ftytmT7R1/cic/9JIVbL3NhWlP1uYeFn/889m76HxwZ/n/LMR/4ABZdfz2mHX9c1ccmImNNiqG+RNSYMpmMWt1kt9vRSxFyJAAAIABJREFU2dmp+7nKwgkulwsulwsOhwMOhwPBYLBg9ZUQQt2sVuuIn/PN6eZyufK2V2Lu6OiAz+eDx+OBw+GA1WpFR0eH+vxYLKbGZ7Va4XK5EAgEyh7OHIlE4PF41GO5XC54PJ6az9GVSCTg8/ngcDjU8/p8vrLnoFN+V8p7pWzKexGLxRpmCGlrayuy2Szi8XjJ6tOenh71+9Hzp1UyZH30sPdaUd7rcuYTNHJRD6P7s1H9VFHutWW8aGl5dzL2aDTK6moioglg9vSpuGPDapyxZL6u9pue24Evdj2JgUFZ9bmnzJiBE755A5psNiz+Vgfe88MfMOlHpCGE+ODwdpbZsTDxR0SmyOVyagWR3W7XlWhRdHR0wGq1IpVKIRqNIplMIp1OIx6PI5FIwGq1jkkiuN1uJJNJRKNR2O129Qbe6/UimUzmTWpEo1G1CjGXy8Hv9yOZTKpJHovFApvNplZpaZMCPp8PPT092LRpE5LJJLLZLAKBACKRCJYvX66rqiuRSMDhcKhDMpPJpLoplWkOh8PwCrFMJqMmYzweD9LptHrezs5OhMNh3Yk6Jfm5evVqRKNRxONxdQsGg1i7di18Ph/6+voMfQ31oO1jo98P7eupJMFSy/dD29f1zCdo1KIeRvdnI/upopJry3jg8XiQy+VgsVgQjUZZ7UdENIHMmzkN91y1BqfpnA7ol0+/ia/+9BlIWX3yb/bZZ+PkTQnMv+giDu2lSUcI0VOiiQvAhQCuEUI8IoS4pQ5h5cXE3yQghHhW2QA8bHY8NLllMhl0dHRg+fLl6OvrQygUQjqd1j0cMhgMIhgMwuv1Ih6Pj3ie3W5HMpmE3W7PW/HjdDrh9XpHJDs8Hs+Yai3t8ZQqxHA4jHA4PKKt3+9HOBxGOj1yvtdAIIBAIIBQKDQiWeL3++F2u5HL5UomJGKxGDwej/qaRsfodDrV1+pwOAxbCTaVSsHlciGVSiGdTo9JiCqJA4vFgvb29qLHymQy8Pl8CIVCeYdx2+12bNq0aVxWHqVSKTVB5Xa7xyRSqq0Mq2VlmXaYZywWK3mu7u7uESsYV8Lo/mxkP1VUc21pRMq11mq1ore3F36/H9u3b+eUCkREE5B1znT8aOMaLF84R1f7+3texY2/2mZI8m/KrFlVH4NonMp/EzlMSvktKeV1w6v6XgggZlbyj4k/IjKcdpicdricEEKt+IlGo8hms2UtFhCLxdShtMWGBQeDQQBjq7AUyjxnQOmKp0wmA6fTWXKYo3K8eDyOvr6+ghU1SpVjscRBKpWCz+cD8O7KsIUo+30+nyHJprVr1yKXyyEcDhdNxoZCoZLJWuW9LZZosFgshg0hrSeljwH5+1C1FXu1roDUfjbyDXPX0la+VsLo/mx0PwWMu7bUWyAQGHOt1Q53bm9vh81mQ2dn55g/RBARFXOkfxD//T8v4OCRAbNDIZ2OmzsTP9l4DpZY9CXiOv+4HT/43Ys1jooKeHhUcQ5NAlLKTQD0VbsYjIm/SUBKebqyAbjI7Hho4hs9jE/Z4vE4vF4vMpkMgsFg2UPmlJtur9db9AZ23bp1AIaSdoUSbMqNu7ZyK5+uri60tbUV3D9aIpEoumBCqZVggXfn4vL7/SVv1C0WC7xeL3K53Ig5vCqhzGGmNxlXarigMhdiqeqo8bZoRCwWU1/T6Mqw8UL7GSqW/E6lUgUrYvUyuj8b3U+VYwLGXFvqKRwO573WKpsyX2U4HIbVaoXH46np4jFENDHsPnAUV9yxGd9+5Hl8qetJDBowHxzVx2LLLNzbcg6Om6tvUZdvP/I87v7zS7UNiogAAEKI+QCazTg3E39EVBfK8EJlnjelCkipBColFoupN6ylhh1aLBY1GaMkn0bTJgyKJepisVhZ1U7ac5eSr6orlUqpMet9b5TEmfY9Klcul1Mrv5TkRrWU96HU0Mjm5uaqh5LWizYhVWyuNJvNVs+wKqJ8BrSL7IxWyTx5Wkb351r0U6OvLY1GmUO1tbVVnWexVJUnEU1eL+3cj0/c8ic8ltkFAPjNs2+h47d/NTkqKsfSBXPwk43nwDZnuq72X3/oWTyQfK3GUdEoF40qzqEGJoQ4Wwhx8ehteN8n8u0btW0cHuLbB8CUvxxPNeOkRDS5ud1uNaEQi8UQDAaLJt+AocoqhZ7Emt1uRyaTGTP/nkKpLIrFYohEInmrnspN+umJrVTFU1dXl/q93uSR9pyxWKys4dOK7u5u9XuHw1H28/MJBoOIRCLqQi4WiwXr1q1T51VU4lZ+F6MlEomyE5nafqJHucOMtUNMSw1hrkY9EoeBQEAd3tre3p53GG4mk6mqotHo/lyLfmr0taVRhUIhNckZCARgt9u5yAcRjdDzUh/89/Qie+DoiMdv/UMayxbMxqfWnGRSZFSuU46fi3uuWoNLIo9j7+H+ku1bH3gax8ycig+dvqgO0RGZSwjxQQAeDA27zQDokVI+WOQpNgBrMDSnnxuAUgYtAOgdwiYA5AAESzWsBSb+qCE88qW/MTsEwy2aP7Ps57z/1IUT8r3Ix+/3q5VEHR0dJRN/vb296vctLS0lkwhK+2JzpbW1tanDjSORyJgkUKFkSDHlJEnyDfXVVhHpTR5p34uenlKLS+WnTWIYNQ+YUmmkzNemVGsp1UYWiwVtbW0FE5XBYLDsqqpYLFbWEPLm5mbdQ1kDgQBSqRTC4XDJhKH2d1LJ3Iv1mIvNbrfD6XQilUrlfc9isVjVc9kZ3Z9r0U9rcW1pVKFQSK289Pl82L59O+f9IyIAwM+2vI7W2NM4MjCYd//XfvYXnGibjQtOXljnyKhS710yH3dsWI3Lbn8Ch47m/70qBgYlvnDvFty5YXXdfsf92SymWq11ORcRAAgh5gHYhDyLcgghsgBapJQ/Hb1veG6+TcPtLADaAPwbhhKAW3Scug9ACkC7lHJ3xS+gCkz8UUM4Vefy8xPdvJnTMG/mNLPDMEWpucS0yROjVoJ1Op1q4mN0MieTycBms9V9/jZthVslVV+VLvChPa+Rr9ntdiObzSIYDCKRSIxIBOVyOQSDQbS3t6srpmolk8myziWE0JWUq0RHRwcikYjuhS60/VNvgqhWv4Ni2tra1ETQ6OR3OBwuu4JyNKP7cy3eo1pcWxqVtsIvl8shkUhwlV8iwr1PvIKv/PSZom36ByWu+XESP732fJx8HP/fPl6sXmbDrZe60HJPL44OFJ+r8cjAIFru6cWPN54D50m1S8gN7NuPHd/+Fvb86tewP/wQph1/fM3ORaQYnl+vF0NVfgLvVu1h+GcbhlbdDUspry10HCllDkBQCLELQ4k8U+bsKxfn+CMi02hvsLVVN/lob/KNrLTRLvKhTUqFQqERK7fWSyUJI227SpMW1VaolaIs+CKlRDweRygUUhO9ylDgRqUMRy9ndVs9i7iMprSrZ7JZ+3q0w92rHeKrMLo/16Kf1ura0ogsFsuI97TSCmEimlj+7rRjdS0GsfdQP/6l+ylIycU+xpO/O+04fGf92ZgiSrc9cGQAV96xGdve3FOTWPY9+idkPnYRcvd3YXDPHrx1/TfYn6heOgE4MJTkw/BXoflZDn8fEEL8sNTBpJQdALbXIM6aYOKPiEyjvYkvNV9WJYkUPbQVTu3t7er3iUTClPmvmpvf/aNRJa+z0mSNy+VSvzcq+dHR0ZH3NbjdbrS2tiKZTKrJpkwmU/Yqz/WQSCTg8/lKJv3yJYmVxKbeeQqVdtWuolsu5TOgTX5Xu6iHwuj+XIt+WqtrS6PSvsbJ8HqJqLTFllm4/YrVmDWtqWi7pQtm4+b1Z0EIHRkkaigffd8JaL/4DF1t9xzqx2W3b8ZLO/cbdv6BPXvwxte+hlc3bkT/G2+qj+/73e+w99e/Nuw8RPkIIZYD8GIouRcB4AJgHf7qA6BN4inJv6t1HLr6/yzXCRN/RGQabeVJqbnctCuClqoO1NJzY6skPmKxmDoPnRFJj0poK9/0Joy0712lq+Nqk5zlDrEtJB6PF13NFxh675U5/hqt+iiTyehK+gHIm7RUfhd6fo/aflrvFY61fV1JxJYaeq+X0f25Fv20lteWRjP6d2DUAilENP6d8Z75+M6nzkKhnN6aZTb89NoL4Dj2mPoGRoZZv/okfO2jK3W13bnvMD5z2xN4c/fBqs+79/e/R+aij2F37IG8+9+64Zvoz2arPg9REQEMJf2CUsprpJRbpJS7h78+IKW8Tkp5MoALMbTYhwAQGZ4TsKDhuf/GBSb+iMg02oq/QkkBJaHidrvVyhy9C24oQzRL0bZRVvitxTxxeni9XvV16p1fTWmnzFlYCe0Kn6WSdQo9iY98qyWPpiR3FixYoOu89aAMP+7s7CyZ9EulUnkrLbV9qNR7qqxWW2iF41rS9pvu7m7EYrERybBqGN2fa9FPa3ltaTSjE9RmXeeIqDF96PRFaPv7FWMev/jsJfjRxjWwzZluQlRkpI3vt+OfPniyrrav5w7i0tuewK59hys+38Fnn8Vr13wW/W+/XbDNQF8f3r6xveB+IgO4AUBK+e1ijaSUieEE4AMYSv7dVIfY6oKJPyIyjfamPpPJjLlBT6VS6OrqUn9WbspHLxJRSDAY1FW5p6xuCgwN97Xb7aZO8K8kyyKRSMmkRSaTURMgnZ2dhpxXe8xi9LbRW+lV7yGuxaxduxahUEhXEq6rqytv7BaLRa1mLJUAVfaXWt26En19fSX7kfI5yeVyaGlpwbp16ww7v9H9uRb9tFbXlkaSyWRGJCtbW1sn9EImRFSZlvfbccmaE9Wfv+w5Ff+57kzMmFp8GDCNH1/ynIorz1+mq236nf244s7N2HPoaEXnmnX66Zj3kY+UbLfn4Yex9/e/r+gcRDrYMTTEVxcppQ9Dq/gGSlX9jRdM/BFR1XK53Ighcnore0bfOI++QU8kEiOGCjqdTvWm3+fzFU0iBAIBeL1e3cmktrY2AEOvpZob+lKJDT1Vcm63W32da9euLdpWeX+i0ajuVZELsdvtagIkEAgUfc7oirBy2o4WDofhdDpNmVMxH4/Hg0wmg3A4DI/HU3BzuVywWq3o6OgoOGRSWcQkFosVTEBFIhGkUim43e6aVGAlEomSn0ltos/tdhuaEDK6P9einxp5ban1EOBKjp9KpUZcS71eb02SzEQ0/gkh8P/+8b1Yu+I4fPdTZ+ELa0/hnH4TjBAC//cfVuFi5xJd7f/y+h5svKsXB48MVHS+47/2VTTp+H/FW1+/HgP79lV0DqISLADKnSMmgKGqP2OGwZhNSsltEm0AVmBofLu6bd26VRKVKxqNSovFIi0Wixzdp5RN2V9MPB5Xj2G329XHk8mkdDqdRZ9jsVhkOBwesS+ZTEq32y39fn/Zr8lisYyIoZRsNivT6bSMRqMjXnc8HpfpdFpms9kRbZXYlHZer1cmk0mZTqfzHl95j+12u4zH42P22e12abFYxuwrFp/SfnR8Wsr7a7fbZTQaHbFPeQ3RaFS2traqx7Xb7bK1tVWGQiG1rdvtlhaLRYZCIel2u8e8zmw2K/1+v7Tb7QXfg3IAGNMfyuX3+wv252JbMpkseMxsNqv+3ke/n+FwWO0LRkomk2of0fY35Xefj9frVftvodeh9Cft597tdqv9uFCfkrL6/jyaUf003zHLvbZU+lnTq9C1xu/3q8cfvaXTaRmPx8f06UKvnYhIa3Bw0OwQqMaO9g/Ilrt75NLgL3RtV9zxhDx8dKCic+UeelhuPW1Fye2Nr3/d2BfZALZu3Zrv/44rZAPkBibLBmAQwMUVPO8RAF1mx2/EJoZfEE0SQogVALZpH9u6dStWrtQ30SuRIpfLIZPJlKwMyuVyuqruOjo60NXVhUwmA7vdDpvNhmg0WvT4kUgE0WgUvb296nyBTqcTbW1tFQ0bDQQCcDgc6vDMUlwuV9FhgX6/H+FwGKlUasRqpPmk0+mCK/Iqr1M7ZNZut8Pn8xWtEPN4PEWHOSrxFaLMd5jL5WCxWGCz2WC32xEKhWCxWBAMBhGJRGCz2UbsV44ZCAQQCATgdDqRSqXQ3t4+4jXYbLaSr6EcQoiq5mfM5XKwWq0VPTebzZb8LCQSCYRCoRGr0drt9or7a7HzaKu78sn3b38qlUJLS0veRTP0HLPYsbUq7c/FjldNPy0Wo95rS7WftWKqnXPRYrGgubkZHo8Hfr+fw3uJiEh1uH8AV9/Vi0df3Kmr/T+87wR891Nno2lKeVWgUkq8ds1nse8PfyjZ9qS778acc9aUdfxGtm3bNqxatWr0wyullM+ZEc9kJIQYBOCWUv5Pmc/zA2iXUjbOROQVYuJvkmHij6gwh8OBZDLJG+NxqtrEHxEREdFks/9wPy69/QlseUXfVBKXrDkRN37ijLKHgB996y1kPvoPGNy/v2i7aUtPgv1nP8OUWbPKOn6jYuLPfFUk/s4G0CulHPeTnHKOPyIiDFU0OZ1OJv2IiIiIaNKYM2Mq7rpyDVb8f/buPc7Rur77//s7e2BZWMgMsByUUwaQo2BmF0Fta93M3bu2Vq3JblXE485oa61Wndx7i4eKundGvH30VoFkK1C16m5iW4tVa4Zfsa2K7CYg4nLQCUVBDgszgV1gD+x8f3/kurKZ2RyuZJJcyczr+XjkMTPJN1c+k2S+k7zzPZy0ylP7b9z+G23+3r11R/jPteykk7T6wx+u2+7Ag7/Wri98saFjA23ibYfCHkDwBwAqbsLgbvCB3hQMBqtOlwYAAEBlx65cpq+881KdftxKT+2T/5HX9T9sPBMJrI9q5aX1p/FO3XSTnvv5zxs+PtBK1tqn/K6hVQj+ACwa0Wi04rp8hUJBU1NTLV1nDZ03OTnZNTsDAwCwGFlrde2tv9Kdv2nvDudovdWrVuhr73ypTjpmhaf28e/fq2/e/uuGbsP09enkqz8pc8QRtRvOzOiRj1wlu39/Q8cHUBnBH4BFIZfLKZ1OK5fLHbbIfiwWUzwe96kyAACA3rf3wEF9YOudGv/+fdr4lR165Knn/C4JDTp1YKW+9q5LNXDUck/t//c//Vzfv/uRhm5j+emn64T3va9uu333368ntmxp6NhADcf6XYCfCP4ALAruFNBAIKDR0dHS+RMTE8rn84wUAwAAaNLju/fqz5K36Z/v/K0kadfufXrX3+/Qs/uf97kyNOqs1av0lXdcqlVHLK3bdsZK7/vGnfqxx12BXQNvvVIrLrqobrsnrk9o3y9/2dCxgSrGjTHvNMYc43chfiD4WwSMMb9wT5Ju9rsewA+BQEBjY2Nas2ZNaUpvLpdTLBZTKpXyuToAAIDe9IvfPqXXffFHh03v/cVvn9YHt/1MMzONbQIB/134gmP15bet1RFL68cF+w/OaONXduiuh7xP7zZLl+rkT31KWrasdsMDB/Tbq66SPXjQ87GBKoKSkpKmjTG/NMZcZ4z508USBBL8AVg04vG4hoeHNTQ0pKGhISUSCd1yyy3s5AsAANCE79/9qCLX/US/fWpvxcu/d/ej+vzE/R2uCq1w6ZkDuv6KIS3tM3XbPrP/oN5243b96vE9no+/4kXn6PiRkbrt9v7sLk199auejwvUYVQMAUckpbRIgkDT6Dbc6G3GmHMl3VN+3s6dO3Xeeef5VBEAAACAXvPT/JPakLzNU9u//bNL9NpLXtDmitAO377zYf3VN+/01PaUY1co/Z6X6ZTAkZ7a2/379cAb3qB9v/xVzXZmxQoF/+XbWn7aaZ6O203uuecenX/++XPPPs9ae68f9SxGxpiZKhdZFYPAuaFYXlJG0oSK4WDAWru7gds7U9L11to/aKLctmDEHwAAAACgIWvPGNCrLzrJU9ur/uluPfXsgTZXhHZ47SUv0Cdec1hwVdFvn9qrt3z5p5p6xttuvGb5cp386U9LfbVjCbt3rx756MfEoCXMQ9xa2ydpSFJMxVDPHc5q5nwflDSqYuhnJBWMMf9mjPmQMeYSD7cVlNRVC8gT/AEAAAAAGtLXZ/S56CW68AW1Z8YNHLVcN7x9rY5dWWc9N3Stt738TP3VurM9tZ3c9YzefuPt2rPP28YuR774xRq48sq67Z796U9VSKc9HROoYFKSrLV3WGs/a639Hx6DQHdUYFhSXFLWGPOkMWarMeZdxpgzKtxWsH2/RnMI/gAAAAAADTty+RJtuXKNVq86ouLlLzpxlb79Fy/X2jMGOlwZWu394bN15eWne2r7s4ee0uhXd2jf89425Tjhr96nZaeeWrfd4/FxHXjsMU/HBObIVzrTQxBYHga6X/slRSQlJE3OCQIvcY7hfbebDiD4AwAAAAA05eRjj9SWK9cctgPsunNX61t//jKdOrDSp8rQSsYYfeI1F+hPLj7FU/sf/epJvf+bd+qgh12d+448UidffXXddjN79ujRT/wNU37RqHFJO7w09DgiUKoeBGYlbWxV4a1C8AcAAAAAaNrFpwZ0TfTi0s+jvxtU8so1OvqIpT5WhVbr6zO6Jnqxfu+cEzy1/97dj+qqf/65p6DuqMteqkA0Wrfdnn//dz393e96un1Akqy1/8ta+3ST160WBOZUPQisvxV2hxH8AQAAAADm5TUXn6IPDp+jz0ZerE2vPk9L+rruvS9aYPnSPl13RUih0wKe2t963y7t2rPPU9vVYx/W0tWr67Z77FOf1vPT056OCbRSWRC4xgkCh1UcUTg3COwqBH8AAAAAgHn7y3VnK7qm/lpt6G0rly/VDW9bqxeduKpmu+AJRyn9npdp9aoVno67ZNUqnfSJT9Rtd3B6Wo99ZrOnYwLtZK29xRlR6AaB69Vl6/tJBH8AAAAAAKABgZXL9ZV3XqpTB46sePlFLzhWqdHL9YJA5curWfWq39cxr3513XZP33yzdt96a0PHBtrNWpuW9H/8rmMugj8AAAAAANCQE49Zoa++46U6/ujZuzpfHjxO3xi5TMcdXXm357rHveojWhKoP5X40Y9/Qgf37GnqNoA2mpTkbS58hxD8AQAAAACAhp1x/FH6yjsu1aoVxY1c/uCCE3Xj29fOa2OXpQMDOvEjH6nb7vnHHtPjn72m6dsB2oSpvgAAAAAAYGE4/5Rj9OW3rtVbLjtdX3pTSCuWLZn3MY/54z/S0a98Zd12ha1b9cxPb5/37QEtlJd0h99FlCP4AwAAAAD46tt3Pqzcr9mptVddeuaArn7dhVq6pDURgzFGJ33i4+o7+ui6bR/52Ec189xzLbldYL6stQ9Ya9f4XUc5gj8AAAAAgC8Ozlht/t49+qtv3qnRr2b16FN7/S4JXWLZSSdp9Yc/XLfdgQd/rV1f+GIHKgJ6E8EfAAAAAKDjnnrugN7599uV+GFekrRr9z6NfnWH9h446HNl6BaBaEQrL720brupm27Scz+/uwMVAb2H4A8AAAAA0FGTu/bo9df+SLfet2vW+T976Clt+sefy1rrU2XoJqavTydf/UmZFStqN5yZ0SNXXSV74EBnCgN6CMEfAAAAAKBj/v2+x/W6L/1I+V3PVLz8n+54WFv+M9/hquCXux9+SmPpn+n5gzMVL19++uk64X3vq3ucfffdpydvuLHV5QE9j+APAAAAANAR2Qen9c6btmv33udrtvs/37tXt973eIeqgl9+PPmE/ix5m7bteKjmSM+BK9+iFRddVPd4T3zpS9qXf6DVZQI9jeAPAAAAANARLzk1oD+44KS67Was9L5v3KHCs/s7UBX88N2fP6K33bBde/YVQ+BU9iGN/9t9FduapUt18qc/JS1bVvOYdv9+Pfqxj8nOVB49CCxGBH8AAADwxeDgoPJ5pvMBi0lfn9E10Yt17kmrarY7ctkSbf7TFyuwcnmHKkMnfe22B/UXX89p/5zpvdfdOqkv/1flEXsrzjlHx298V91jP7tjhwrbUi2pE1gICP4AAADQcblcTlNTUwoGg36XAqDDjjpiqbZcuUYDR1UO9V4QOFLp91yuP3rxyR2uDO1mrdXnM/frqn++W9X2b7n6Ozv17TsfrnjZce9+t5Z7+L/x+DXX6MBjj82nVGDBIPhbBIwxv3BPkm72ux4AANC7CoWCRkdHVSgU5nWcRCKh9evX17yN4eFhDQ4OanBwUMPDw0qn0/O6TQDd49SBlbr2zSEt7TOzzr/0jAF9+70v1wWnHOtTZWinz2fu19/e8su67T647Wf64f27Dju/b/lynfypqyVjKlzrkJk9e/ToJ69md+gFxBgTMMbEjTEZ55R1vo74XVu3I/gDAABATYVCQblcTrFYTGeeeaaSyaSmpqbmdcxkMqnR0dHDzp+YmNC6des0OjqqTCajyclJZbNZBYNBRaNRDQ0Nzet2AXSPy4LH6eN/ckHp5ze99DR97V0v1fFHH+FjVWinP3rxKTpmxdK67Z6fsVVH/a0MhdT/xjfWPcaeW27R7n/7QcM1ovsYY4KSUpK2WmuHndOQpISkhDEm62+F3Y3gbxGw1l7gniS9xu96AABA70gmk1q3bp0SiYTWrl3bsmMGg0GFQqFZ5xcKBcViMWWz2VmXBQIBJRIJhcNh5XI5RaPRltQBwH9vuex0vfXy03X16y7UZ15/kZYv5S3qQvaik1bphret1RF1Huc3v/Q0fTZycdXLT/jrD2jpSfU3iXn0U5/SwXmOUEdXSEkqSJq1MLC1Ni0pJylkjEn4UVgvoFcFAKBLxWKxrpzaOD4+TvDSY0ZHRzUxMdHUdUdGRpTNZpVIJBSJRFpSTyKRqDjab9u2bcrn8xofH694vVgsJklKp9NsCgIsIH/z2gv1lstO97sMdMiaMwb0pTeFtKSv8nTd94fP1qded2HVyyVpydFH66SPf6zubR184gk99tnPNl0rukZIUkTSpgqXuS8Iwp0rp7cQ/AEA0IWi0agKhULLgpZW2rx5swYGBvwuAw2Ix+MaHR3tiiA5n88rl8tpZOTwJXmy2Wxp1F+lNQTXrFlT+j6Xy7U6rVEtAAAgAElEQVS1TgBA+4TPP1Gb//SiWecZI33qdRfq/eFzZOqs4SdJq37/93XMq19dt91T3/pHPfOTnzRdK7pCUsURf1trtGFoZxUEfwAAdBk39Egkum/GQjqdLm28gN4RCASUyWS0ceNG3wMzd8puIBA47LJoNKpAIFD18vmuKwgA6B7r15yq2P88V5K0fEmfrn1TSFc0OPLzxI/8by05tv5GMI987OOaee65puqE/6y1o9bafmttpRcx7ki/WqHgokbwB6DlotGojDENn/r7+zU8PKzR0dGemcKVTqcVjUYPO/n9xnohy+Vy6u/vb3pH0YmJCUWjUQ0ODmpoaEiDg4NNP2atPJYrnU5rfHxcqVSq6WO009atWyuuzTaXO2prcHCw9Dfu3j+NTDkdHBysO0otn89reHhYyWTS83FjsVhpo4jBwUH19/dXnV66UASDQW3ZskXr1q2b946881FtUw9JCofDmp6eViaTqXh5+f+Ges9BAED3e/fvBfWXrzpLf/+OS/WHF53c8PWXHnecVm/6X3XbHXjoIT3z4x83UyK6mDEmIikgKWetXdgv5OaB4A9Ay6VSKU1OTiqTySgcPrTUQjgcVjab1eTkpKanp2edJicnlUqlFAgElEwmSwFBt3KDhqmpKaVSqVmn0dHR0o6UaK1kMqmhoaGmQws3mN2wYUNpp9DJyUkNDw9raGiooceslcdyFQoFRaNRJRKJiqOdukE6na47/TiZTOrMM88sjVp0759IJKJ0Ol26j+oF/IVCQfl8vhSuJpPJ0nXy+fys4DWfz1ecOlpPPp9XPp/3NQjrpEgkojVr1mjdunW+3L4b+jY7hd0dBRsOhxUMBltWFwDAH8YYffB/vEiXDx7X9DGOfe1rddTLX1718uVnDer0r/+DVvn0v6/TjDEhY8y0MaapF5PGmLAxJmWMmTTGZJ2vKWNM13ziZowJGmNGJG2RlHR2+EU11lpOi+gk6VxJtvy0c+dOC7RLJBIpPdey2ayn6yQSidJ1IpFImytsXDabtaFQyE5PT1dt4/4OiUSig5UtLNPT0zabzdpUKmXHxsZsIBCY1XfVuv8rCYVCNZ+HmUzG83OulccqF4lEbDAYbOg6neQ+rycnJ6u2SaVSNhAIVG2TzWZnPZa1jjU9PW3n/s+qdAoEAg0/H1yTk5Ol48Tj8aaO0Wuy2ayVZFOpVFPXdx+/Wo9dNZFIxI6MjDR1u+WPVTO3DWBh2vHfU3b33gN+lwGf7fvNQ/aeS15id77o3EOnCy+yj3/hi/bgvn2+1bVz585Kr13Ote17vz9SdjuBJq6fkjQtKVLluIl21e6xvpCkjHOalpSVFPazpl44+V4Apw4/4AR/6DD3DWIgEGjoem6wIslmMpk2Vde46elpGwwG64YM7hvUcDjcocoWnng8biXZYDBoR0ZGbCaTsSMjI00Ff+6x6gUOblBdK7Bt5bHKuWFhs2FMJ4TDYRsKhape7v591Atl3N/VfXxrHa9e6DcyMtJ06OdabMGftcU+ttF+2TWf4K+RD4Hmcv8vdNP/BAD+mZmZsTf+V94ObvpX++6v7rAzMzN+lwSfPXnTTaXQ74H1G+ze++/3u6S2Bn8qTnF1d7uNO0FY+e00FPw5IZqVFKpyedi5PNWK+lt0H0ScmrLNBJ2L5cRUXwBtUz59rnzKrxfl7aut9eQHr9Mw3d+bheibNzY2JmutJicna24GUI+71pyk0tdq3Om51dq18lhzxeNxBQKBrtzFVyr+7hMTE9qwYUPVNps3b/Y0BTMcDpfWZ8vn83XX5ovH44pEIgoGgwoEAgqFQhoZGVE2m+3qadHdbNOmTSoUCh1d1zCZTHpaH7KS0dFR5XI5pVKphv+fAFh49h44qA+l7tInbt6p52esvnf3o7r21km/y4LP+q+4Qisvv0wnfuQjOv3r/6Ajzj7b75LabUTFwCuuYggYVXH324YZY8ZUDBGTtvIGGrLWTkhKS4o402yrHSs4j1NDL+qstWkVf+eQivcFKiD4A9A25Qv4Dw8PN3Td4447tM5Ht2z0kUwmFQqFPL3pdH931qDy37Zt20rfewmkpEMhVzuPVc5dr66ZNeo6xQ3natWYTqc9BXmSZgWItXYvDgQCGhsbK60dOj09XQr82NyheZFIRIFAoKM7RycSiabWvkwmk0omk8pkMl0bjAPonN8WnlP0+p/oW7mHZp1/zQ/u0633Pe5TVfCDtVZfuOWX+o/7d0mSzJIlOu2GGzTwlitklizxubr2s9aOW2uNtXbQFne9nZDU8KLFTtgWd36M12oryX3hULGdMSYuaXIep2bWJnRrCtYKJBczgj8AbVM+Uq/RERrbt28vfd8t4Vk8HtemTZs8tXXfTHttj/Zxd8f1+jxyR49VCkRaeaxy8XjxtVOt0XR+27p1a91Rl26AOTo6Wncn3vL7sFvC/cVm/fr1yufzHdmF3L2dRsPtiYkJxWIxZbNZRvoB0E8mn9RrvvBf+vnDTx12mbXS+75xhx588hkfKkOnHZyx+ti3f6HPZe7Xu7+W1Z2/KeZdxhifK+tJ691vrLU1X5Q54aIkBYwxh/1jttbGnDByPqdZ4aUxJuJsMjJWpazymtnkowKCPwBt445yCgQCDYV3hUJhVmjQDbvjptNpz1NNY7FYaYdRRiT5r9HRlwMDA5JUMQxp5bHKuSMJu/X54oY2jfwt1gvzyu/DxbKjbrdxR2J3YtRfM9P13edcNps97G8jnU7XDZcBLCz/etcjuuLLP9WTz+yv2ubpvc9r5CtZPbPv+Q5Whk7b9/xBve8bd+irtz0oSXp2/0G9/cbbNblrj8+V9ayo89XrJ7HuC7dOvUnbpOJU3mqjEctfmDPnvwKCPwBtMZ/1/TZu3Fj6Ph6Pd8WIv0Qi4WmttvHxcY2Pj2tsbKyjU+hQWXn45PV55LabG1y18lhzj1soFLo29JMOBUP1plm66xSGw+G6I7uauT/RWm7fXG8qeiskk0nP611KxedHNBpVJpOp+Pyodj6AhWvNGf0aOGp53Xb3PbZbY+m73IX/scDs3ntAb79xu/7154/MOn/62QO68su369Gn9vpUWU9z36x5Df7cRcw79eJ1h/O12id+5S8I2v+ipgcR/AFoi2bX94vFYqVRHCMjIxobqzaiu7Py+fysEGdoaEjDw8OKRqOl74eGhrR161Zls9nS1E34q5mRZOUjksqv38pjlXOf7/OdxphOpzU4OKj+/n5Fo9GKbRodtVd+bC9rq42NjWl6elqZTKbuyK7y6fxeQ890Oq3R0dHS3547urad0um0jDGlU39/f+n78o0xYrFYqT9wHwf38kKhoNHR0VmXDQ0NeVoLsVpNw8PD6u/vV39/vwYHBzU8PNxwgBcIBBQIBGZ9UNMIr9dx6/L6HC8UChoeHi71o/l8ftZpYmJC27ZtI/gDFpkTj1mh668IadmS2lM5jZHOPvFokfstPLt279Mbt9ymH08+WfHyhwvP6a033K6nnj3Q4coa1m+MOaHaqZOFGGPK/5l6fVHltuvUP+KUpJy1tvIL3EMjD9PVNiZZ7Aj+ALRFo+v7FQoFRaNRjY+PKxgMKpPJdM2IuVwuN+t3GBgYUDAY1NTUVCkQHB4e1po1a5TL5djJt4uUPxbN7Pxafv1WHqucG4CtXbu24WO6xsfHFY1GSwFOOp3W0NDsJU7cv7FGRl1Jxed/Pp9v+ZT7Rqbz53I5DQ8PK5/PKxaLKZPJlEKhwcHBti4HEIlEZo1eLBQKGhsbUyaTOWxU48DAQCmcckOxZDKpdevWKRqNKpvNljYo2bBhg0ZHR9Xf3+85sMvlchocHFQ0GtXw8LAeeOABTU9Pa3JyUvF4XKlUquGNlBod9VcoFEq/m9fQNZFINLS237p160oj/gYHBw87ub8juzkDi8/Q6QP6xJ9cUPXyY1Ys1Q1vXav3h89RXx9rvS0kTz13QJHrf6y7H366Zrv7HtutjV/Zob0HDnaosqb8WNLjNU6d1Mw/09Inf01sxNEwZ13BhLPO36xPi511/8KSJmoEg4veUr8LALAweVnfr1AoaMeOHUqlUqUdcxt9g9gJExMTs95MBwKB0iYPc+3YsUPRaFQPPPAAb0q7wHzXjpvviD8vtbjr/zU7esnd/KB8x+mJiYlSWOYG6G7o1+jtJBKJ0vTdVnHDRKkYPNU6dqFQ0MaNG3XLLbfM+psKBoOKx+M67rjjFIvFtGPHDmWz2ZbVWG54eFjJZFKRSERbtmyp+LftBpHxeFz9/f2SVNp5uFJdY2NjCgaDpRAvk8nUvB9yuVwpzK205p3bfyaTydLxvHCfD9u3b686qtPdsGVqakqFQqH0+7sjS4PBoCKRSMWRzm4QPTnpbcmdWCzmabMRRvsBi9ebLj1NP3/oKX1z+29mnX/+ycfo+iuGdNpxK32qDO10zIqlWnfuibrhRw/UbXv7f0/p/d+8U196c0hLPAbABwsFLVmcr90Hyr5v5sXuQJPXa4i1NmmMmZAUM8asKbsoLylqrWXh3xoI/tAV7n9sd83LTzp2hY5Zsazh4/7q8T2aqTHOf/WqIxRYWX+tkLn++4lntP/gTNXLB45aruOPPqLh4/5m6lk9V+PTqWOPXKYTj1nR8HE7be60sbkjj8oVCoXSRhjRaLQrd23MZDJVg765RkdHNTo6qmQy2TXTlCsZGhpq+06elcKJTpvv6MtqI/5aWYsbgDUbFI+OjlYMzHO5nLZu3arR0VHt2LHD07p7lWzbtk3r16+v37AB5aMOa43sdQPHVCpV9f5x19N0pzG3eqRwoVDQ5s2bPX8oUV5nrQ8JpOJowkgkUpq6Ozk5WTHQKhQKWrdunaRDYWIlsVhs1vRiL8+p4447TlLt0XvhcNhzcDfXtm3bFAqFPAd18XicpRIA1GSM0d+89gLd++ju0k6ubwi9UJ9+/YVasWyJz9WhXYwxuuqPztPUM/v0z3f+tm777//iUX3iX36hT772gpo7/dqDBzX9ta/p8b/9fzr12i/pqMsua2XZvWC+aWfH0lJnx2H/d33sQQR/6Ar/4/P/UfPyL70ppD968ckNH3d94ieaqrHz1ydfe4GuvPyMho+78Ss79MvHq+8a9VfrztYHhs9p+LgfSv1MP32gerjwlstO19Wvu7Dh43Za+ZSxLVu21F0bzH1jPTw8rFAopC1btvgeGJXL5/OeQ5k1a4ofQG3evLklwZ87vdENjaanp+d9TKn45rrda6N102PYrcoD8mZHMI2OjlYMpEKhkEKhkNLpdN0AqpqJiYnS+nStkk6nS32Elw0avIxci0QiGh8fL20g0arRYIVCQUNDQ4rH457WOJzLywcZ8Xi8NO05FotVfJxisVgpyKsVPpZPn3bD3nrcvq1d/UEikeiKndkBLCxHLF2i668Y0huu+7H+/PcH9aZLT6sZ7mBh6OszGo9crKlnD+g/7t9Vt/1Xb3tQJx5zhN77qrMrXr73vvv1yEc/qr133SVJeuRjH1fwX76tvhXdP9CihQbqN2nr9dEBBH8AWq7R9f0CgUBphMf4+LiGhobqTnvrlLnr+9Xjhl3znRbqisfjpamcrdQN920nDAy07rVIK4/lasV6kLUC5nQ6ra1btzYV+kmHpvm2KsR1p+1KUiqVatnzcHh4uDTSLZFItGTEWD6fL02VbuffSzAYVCgUUi6XUzqdPmykXqFQKG0CUq+OeDyujRs3as2aNZ5rdp/XreqzyuXzeeVyuZaPGAUAqTgj6JYP/h6j/BaZ5Uv7dN2bQ3rT3/1UP/tN/f9d1/zgfq1etULr155aOm9m3z49cf31enLL30nPP186/8Cvf60nvvhFrf7Qh9pSe5mXSfpVu28EcLG5B4CWc0fzBIPBhqYvlr9Zj0ajbXkj2qi56/vVUz5qphUjaEKhUFdPGe52811nsTzsa+Wx5mrHepDj4+Pavn1706GfVAwOW7nm5rp161QoFJRIJJoaQVdN+X3b6M62lbjr6bV6bcNq3JHCUnFqbLny36feBjCRSKS0q7JX7VyL1H2cWe8UQLsQ+i1ORx2xVDe+ba2Cxx/lqf2mf/q5/r97H5MkPZvN6oHX/6mevO76WaGf68kbb9Jzv/hFS+utYNpau6vaqd03Pge7Ei4CBH8AWiqXy5UCu2beMLvXKRQKh70B9kOjIw/bPX0WjSkPhJoJkssDi1Yeaz7H8WJ0dHTWSNpmuNNGWzVNc3R0VLlcri0b+JTft/NduzKdTpcCylwuVxpJ2E7l66DOXUvP3fVZas+GFu7zuh27kSeTSab5AgDaYuCo5fr7d1yqE1bVX1f94IzVn/9DTtmdD+nXG0e0v9br9YMH9chHPypbIRRcoOb7YpTgsAcQ/AFoqfLRKY2MlHOVv4Fv1w6djZiammpotEp58Meuk/4rf+y8BhvVHsNWHmvuMVsZAEajUUWj0XmHa4lEQsFgsCXPY3f9vVQq5bmuWCym/v7+0s6xnbB161Zt3rxZDzzwQGlEYiwWa3ugXytULr/tdoycc5/LrZ7K7v4vWCzLCgAAOu/UgZW66e1rdfQR9Vcw23tgRu9K79Qzo++v23bfzns0ddNNLaiwJ5S/qG3mhYb/U7RQF8EfgJZqdH2/ucrf5A4ODrakpmblcrlZU/C8cKdVsrFFdygPrbyGa267uYFXK4/VDoVCQcPDw9q0adO8w5ZCoaCJiYmWjNZKp9OlTSsamd47Pj6uQqGgdDpddxRf+eMxn3BsYGBA2WxWgUBAW7ZsKR2r3eFjrXBvviNN63GP2epQMRgMzmuaOQAAXlxwyrFKvmVIy5bU39xl+tkDet/0KdpzyaV12+764pf0fBtGw3eh8hcXXj8FLL2wdXbaRZcj+APQUs2u7yepNLXO5Xd4NjEx0VD46IYl0uHTIwuFQmmh+24wNDQkY0xbT93yu7rPI6+jttx2lZ5/rTyW1LpQJ5fLKRqNKpVKteTvxp1mP99RgxMTE6W6aoV+9TavqReclo/AbDSsL1f+d1u+E3K7p/yWT++d2+eU/9yO6bjtGvEXDAYZ7Qegqz1/cMbvEtAiLzvreP3f9Zd4avtwYa8+GrpCz6yovj7gslNP1anXXaulbdjYrdvMCe68vnlz2xH69Qh29QXQMuVBTzNv+DZv3lz6vhveNG7fvr2h6cruzpvBYLAUmOTzeQ0NDZVCnVAopGw2q/HxcWUymdKb7jVr1igWi3VsenA8Hm/79EW/g1vXhg0blMvlPP2+5eHbhg0b2nosqRguBQIBFQqFhqeVuyYmJhSPx+tu6BCLxbR27VpPo+4SiYRCodC8RoHl83lPoZ9UHBU4dz3CUCik0dFRrV+/vm4d5X1PK0fnhcNhjYyMKJlMKhaLKRKJtOVvdMeOHaXv5+6AG4lESsFoJpNp+fqInRyVCgDd4ge/eFSf/u49+vrGy/SCwJF+l4MWeM3Fp2jX7n365Hd21m1779R+bf6TmD6W/hstnzl46IK+Pg28/W064b3vVd+Ri+p5kZMUUtlIvjrcdt3xKT/qIvhbBIwx5dsSLfetkBp+8IHfrXn5SceuaOq420Yv14y1VS9f7WEx2Eq2XLlG+2t8SjhwVHN38zXRi/XcgYNVLz/2yGVNHbdT5rO+Xz6fnzWiphumiE1MTHh+M1woFEpvzhOJROn8YDCo6enp0u7A+Xxew8PDisVipd16C4WCotGoBgcH27LxQSV+h6qdNDIyUnpsJiYmav7u7ki3QCBQMaxq5bFcwWBw1qY4jcjlcp5Cv3w+r2QyqU2bNtU9pjvytvx53Ch32vGWLVvqhn65XK7i31k4HFahUPAUPrq/fyAQaPnfTyKR0MTERCnIbGTtUS+PaS6XKwWXIyMjh/2+7ocgExMTnncsdh8/L4/hk08+Kcn/pRUAoBMOzlh97gf36dpbiyOt3/O1rLaNXs7uwAvEO15xph7bvVeJH9b/gDa7f6U+/zvv0od/mFSfrI4491yd/KlP6cgLL+hApbrZGLPf/cFa25EbrWGrPAZ/xpjyFypb21YRWoqpvugK55y4qubpmBXNBV5nrT665nEDK5sL6M44/qiaxz3+6OYCxVMHVtY87onHNBeAdkqz6/u5YZjLHW1UTywWUzQabcuU0nw+rzVr1nh+o+2OMkokEhV/dzfYKBQKh7UJBALKZDIKBoOlnU/ROoFAoBSy1gtC3Mur7YbbymO53OdGoyMw8/m81q1bJ6kYtI+Pj1c8xsTEhIaGhrRp0yZPIZo7cnXuyLNGrFu3TvF43NPowq1bt1b8e4/H40okEnXvl1wuV/o73bJlS3MF1+E+lo1O+fXSf7hBcq1dmN3bLxQKnm4/Fot5Xp/R7W+6ZYQuALTLk3v26a033F4K/STproee0t/cXH+EGHpH7A/O1etf8gJPbW/tP1tbLnm9jv/AX+vM1LZOhX7dKOl+Y4yp9ybOfYFYsNam21cSWspay2kRnSSdK8mWn3bu3GmBVnCfU8Fg0PN1UqmUDQQCpeumUilP10skEqXrBAKBZkuuefxUKmXD4XDNmqanp20oFLKSbCKRqNmu3n3j/k6V2ri/62I3MjJSui8mJycbuq77OGUymYqXu/d/OBzu6LHctiMjI3Xbuqanp20wGLRjY2N2enraTk5O2mAwaCXZUChkx8bG7NjYWKnOUCjk+djBYNBT3dWEw2EbCARsOByueQqFQqW//Wp/O6lUygaDwaqPtXs/SLJjY2NN1+yl/3HvS0k2m816Ol4gEKhZl/vYBwKBusdMpVKl41Z73llrbTweb+i55D4G09PTnq8DAL3mjl9P28s/M2FPj32n4mnr9l/7XSJaaN+Bg/aKv7ut6uM993T9rb9qWy07d+6c9d7bOZ1r2/d+P152O4Emrpeq0y7rtBtp1+/AqQ3PC78L4NThB5zgDy02OTlps9msjUQipedUKBSyk5OTdnp6+rCT2z4ej896Ix2JRBp64xmPx2c9j70Ghl659bjBwtxgYnp62o6NjZUCjnohlJfgz21TKdRarMGf+5yZnJw8LCQOh8M2k8nMeq7VO1Y4HK74fHEDmEgk4rmuVh1rcnKy4cA8EonYeDx+WE1uCFZ+CoVCnv+23Fqa/XsqD2YbOdUKvRKJRClAy2azpedEPB6vGxzWUn6c8ueUexvlstnsrOeee5vV6nbbjI2N2ZGRkcP6N7f/KO8vvSivww19XZOTk6Xb8sp9vBsJhgGgl8zMzNh/uO1Be/b//m7N4Ofsj3zX/vyhgt/looV27z1g//j//afn8O9b2d+0pQ4fgr9E2e0EG7yuG+qFq1w+4lyeaVf9nNpzMs4DiEXCGHOupHvKz9u5c6fOO+88nypCLzPGNH3dQCCgNWvWaHh4uKkF8wuFgtatW6dcLqdwOKzh4eHSFMxWGBoamrWWVywWO2zaXjgc1oYNGzxNkSsUCurv71cwGJy1g+dc7n06d0ME9/zF1GfncjkNDQ15bl/vvnW5m2GU75AaDAa1adOmhqc7tupY/f39KhQKmp6erjsdN5/PKxaLVVwH010v0l2fcnR0tKG/i1gspvHx8aaeZ+5zvBn1fu98Pq9EIqF0Oq18Pq9AIKBgMKgNGzZUXBfPC/c+ryaTyZSm5Nfq6yptXuK2HxsbUzweP+x5UigUFAqFtGHDBk/ToedKJpNKpVKlTUEGBgZKm6E0ssxCOp1WNBot1QkAC421Vh/c9jP94x0P1237wv4j9Z2/fEXTSwGh++zavU+R63+sB598tm7bpX1GX37bWv3eOSe0tIZ77rlH559//tyzz7PW3tuK4ztr7rnbD4ckbdGhXXcnVBzJl5c0JUnW2qovfpxjpSSFJUVt2VReY8yIiqFi2lrbup3U0BEEf4sMwR8WoomJCWUymZa9ca0VrDSr0eBv7iYfizH4W0zcwK08bPJDf3+/wuFwV2yu08vmBn/danR0VMlkUtlsljX+ACxYz+0/qNdf+yPd++juum0/+sfn652vOLMDVaFTHnzyGb3huh/riT3767ZduXyJvjlymV78wsY/UKymncGfMSak4ig9r/LW2rq7eTnr/MV0KFCUiuHhZmsti5H3IDb3ANDzCoVCS3ekdHfg7bTy0Udr1qzp+O3DP+5GDPPZSXe+3J2FvW4Kgd63bds2hUIhQj8AC9qRy5co8ZYhrVqxtGqb5Uv69JnXX6R3vPyMzhWGjjj9uKN049su1crl9Xdufnb/Qb39xu367yee6UBl82etzVlrTQMnT2+YrLUT1tpha+1Q2SlK6Ne7CP4A9Lzt27c3PFW4lnaOuiqfEjrXtm3bJBWnivJGfHEJBoMKh8NKp9M1p5+2UyKRUCAQ8HXEITpnYmJChUJBmzZt8rsUAGi70487Sp9ff0nFy04dOFL/+Ocv05teetq8lrFB97rohcfq+iuGtLSv/uP75DP7deUNt2vX7n0dqAzoDII/AD1vYmKipWFFLpdraZBYrlAoKJ/PV7wsFotJKgaPWHzc0X6bN2/25fa3bdum9evX+3Lb6Lx4PK5gMNjUGoMA0IvC55+ov3zVWbPPO+9Efee9v6MLX3CsT1WhU373nBP02eiLPbX99dSzevtNt2vPvufbXBXQGQR/AHpaLpdr6bTYfD7fttBPKm5qEo1GZ4V/hUKhtIlFJpM57Pb9GgGGzgoGgxoZGVEymez4bbujv5jmuzhMTExoYmLC16nlAOCH94fP0e+cfbyW9Blt+sNzteXKIR27cpnfZaFDXv+SF2rTH57rqe3dDz+t93wtq/3Pz8w631qrwrf+Ub9573tlZ2aqXBvoLtUXOgCAHhCLxVr65jWXy7V1fb+BgQHdcsstisVis8K/cDisTZs2HbY76eDgoKampkrn9/f3a2BgwNPuteg98Xhc27Zt0/j4eEt3qa4nkUgwxbwNujW0j8ViikQiTOsGsOgs6TP62z97iSZ37dHaMwbqXwELzsjvBvXY0/t0w48eqNv2P3/5hMPCH9gAAB11SURBVMbSP9P/XX+J+vqM9j/4oB75+Cf07G23SZIK6bT6m5stcbMxprTbiLX2gmYOAnhF8AegZyWTSQWDwZav7xeNtneH+kAg4DmsJOBbXAKBgG655RYNDQ0pEom0dfRpuXQ63dW7z/aCQqGgqampWX/b27ZtUzQabXk/NR/j4+MqFArasmWL36UAgC8GjlqugaMI/RYrY4yu+qPz9PjuvfrOXY/Ubf/Pd/5Wq49erpGHf6Qnrr1Wdt+htf8e/+w1OvqVr9Sy1avbWTIwb0z1BdCzMplMy6eq7dixg1Ew8FUoFFIikdDw8HBHRoyl02lJYq23eTrzzDM1ODio8fHx0nmFQkHDw8OHne+XiYkJbd68WZlM5rDRxQAALBZ9fUafW3+xXjZ4nKf2yf/6byX/Zces0E+SZnbv1mOf/kw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      "text/plain": [
       "<Figure size 1280x960 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline \n",
    "import numpy as np \n",
    "import alpro \n",
    "import matplotlib.pyplot as plt \n",
    "from alpro.models import unit\n",
    "plt.rcParams[\"figure.dpi\"] = 200\n",
    "pressure_conversion = 1.0 / (1000.0 * unit.ev)\n",
    "beta = 100.0\n",
    "\n",
    "def B_from_P_ylim(Ptuple):\n",
    "    '''\n",
    "    function that calculates the relevant limits for B based on pressure limits\n",
    "    '''\n",
    "    B1 = 1e6 * np.sqrt((Ptuple[0] / pressure_conversion / beta)  * 8.0 * np.pi)\n",
    "    B2 = 1e6 * np.sqrt((Ptuple[1] / pressure_conversion / beta)  * 8.0 * np.pi)\n",
    "    return (B1, B2)\n",
    "\n",
    "def beta_func(r, alpha=0.5, beta0=100, r0 = 25.0):\n",
    "    '''\n",
    "    a power-law variable plasma beta with radius\n",
    "    '''\n",
    "    beta = beta0 * (r/r0) ** alpha\n",
    "    return (beta)\n",
    "\n",
    "def make_fig1():\n",
    "    '''\n",
    "    make the actual figure\n",
    "    '''\n",
    "\n",
    "    fig, ax2 = plt.subplots()\n",
    "    ax = ax2.twinx()\n",
    "\n",
    "    models = [\"1275a\", \"1275b\"]\n",
    "    label = [\"A\", \"B\"]\n",
    "    color = [\"C3\", \"C0\"]\n",
    "    for i, mod_name in enumerate(models):\n",
    "        s = alpro.Survival(mod_name)\n",
    "        s.init_model()\n",
    "\n",
    "        r = np.logspace(-1,np.log10(2000), 1000)\n",
    "\n",
    "        B = s.cluster.get_B(r)\n",
    "        PB = (B ** 2) / 8.0 / np.pi \n",
    "        ax.plot(r, pressure_conversion * PB * beta, label=\"Reynolds$+$20 Model {}\".format(label[i]), c=color[i], ls=\"-.\", lw=3)\n",
    "\n",
    "        if mod_name == \"1275b\":\n",
    "            s.cluster.plasma_beta = beta_func\n",
    "            s.init_model()\n",
    "            ax2.plot(r, 1e6*s.cluster.get_B(r), ls=\":\", c=\"C0\", label=r\"$B$, $\\beta_{\\rm pl} = 100 (z/25 {\\rm kpc})^{1/2}\")\n",
    "            ax.plot(r, s.cluster.get_B(r), ls=\":\", c=\"C0\", label=r\"$B,\\,\\beta_{\\rm pl} = 100 (z/25\\,{\\rm kpc})^{1/2}$\")\n",
    "\n",
    "\n",
    "    ax.set_ylim(5e-4, 2)\n",
    "    ax2.set_ylim(B_from_P_ylim(ax.get_ylim()))\n",
    "    ax2.set_xlabel(\"$z$~(kpc)\", fontsize=18, labelpad=-2)\n",
    "    ax.set_ylabel(r\"$P_{\\rm th}~{\\rm for}~\\beta_{\\rm pl} = 100~({\\rm keV~cm}^{-3})$\", fontsize=16, labelpad=-2)\n",
    "    ax.legend(fontsize=14, frameon=False, loc=3)\n",
    "    ax2.set_xlim(1,1800)\n",
    "    ax.get_shared_y_axes().join(ax,ax2)\n",
    "\n",
    "    ax2.set_ylabel(r\"$B~(\\mu {\\rm G})$\", fontsize=18, labelpad=-5)\n",
    "    plt.loglog()\n",
    "    \n",
    "alpro.util.set_default_plot_params(tex=True)\n",
    "make_fig1()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Figure 4: Rotation Measures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['serif'] not found. Falling back to DejaVu Sans.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_rm_models(model_kwargs, N = 200):\n",
    "    '''\n",
    "    calculate the RM from N models (default N = 200)\n",
    "    '''\n",
    "    N = 200\n",
    "    rm = np.zeros(N)\n",
    "    for i in range(N):\n",
    "        s = setup_model(i, 1e-13 * 1e-9, 1e-13, **model_kwargs)\n",
    "        rm[i] = s.domain.get_rm(cell_centered=False)\n",
    "    return (np.fabs(rm), np.median(np.fabs(rm)))\n",
    "\n",
    "def setup_model(i, g, mass, mod = \"1275b\", lc_scale = True, var_beta = False):\n",
    "    '''\n",
    "    setup the cell model using alpro with the relevant coherence length\n",
    "    and plasma beta properties\n",
    "    '''\n",
    "    s = alpro.Survival(mod)\n",
    "    s.init_model()\n",
    "    if var_beta:\n",
    "        s.cluster.plasma_beta = beta_func\n",
    "    if lc_scale == False:\n",
    "        s.set_coherence_r0(None)\n",
    "    s.domain.create_box_array(1800.0, i, s.coherence_func, r0=0.0)\n",
    "    s.set_params(g = g, mass = mass)\n",
    "    return (s)\n",
    "\n",
    "# define plotting properties and labels\n",
    "ls = [\"-\", \"-\", \"-\", \":\"]\n",
    "colors = [\"C0\", \"C1\", \"C3\", \"k\"]\n",
    "labels = [\"1: Cell-based\", r\"2: Cell-based, no $\\Lambda_c$ scaling\", r\"3: Cell-based, variable $\\beta(z)$\", \"R20 Model A\"]\n",
    "\n",
    "# define characteristics of the model \n",
    "model = [\"1275b\", \"1275b\", \"1275b\", \"1275a\"]\n",
    "var_betas = [False, False, True, False]\n",
    "lc_scales = [True, False, True, True]\n",
    "imods = np.arange(len(ls))\n",
    "bins = np.linspace(0,4e4,100)         # RM bins \n",
    "params = zip(imods, model, var_betas, lc_scales, labels, colors)\n",
    "fig = plt.figure()\n",
    "\n",
    "# loop over the models and calculate RMs in each case, then plot them\n",
    "for imod, mod, var_beta, lc_scale, label, color in params:\n",
    "    model_kwargs = {\"mod\": mod, \"var_beta\": var_beta, \"lc_scale\": lc_scale}\n",
    "\n",
    "    iseed = 0\n",
    "\n",
    "    rms, median = get_rm_models(model_kwargs)\n",
    "    hist, bin_edges = np.histogram(rms, bins=bins)\n",
    "    cdf = np.cumsum(hist) / np.sum(hist)\n",
    "    \n",
    "    # plot the results and mark the median RM\n",
    "    plt.plot(bin_edges[:-1], cdf, color=color, lw=3, label=labels[imod], ls = ls[imod])\n",
    "    plt.vlines([median], 0, 0.1, color=color, lw=2)\n",
    "    \n",
    "plt.ylabel(\"Cumulative Distribution Function\")\n",
    "plt.xlabel(r\"$|{\\rm RM| (rad~m^{-2}})$\")\n",
    "plt.fill_between([6500,7500], 0, 1, color=\"k\", alpha=0.3, label= \"RM from Taylor$+$ 2006\")\n",
    "plt.ylim(0,1)\n",
    "plt.xlim(0,19000)\n",
    "plt.legend(loc=4, frameon=False)\n",
    "plt.subplots_adjust(hspace=0.05, wspace=0.35, right=0.98)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Figure 5: Magnetic Field Models and survival probabilities\n",
    "This code will reproduce figure 5 from the paper. To avoid a fairly lengthy calculation of the mean survival probability, the code uses precalculated values stored in this repository. \n",
    "\n",
    "| Model | $N$ | $B$-Field  | $\\Lambda_c$ scaling? | $\\beta_{\\rm pl}(z)$                 | Range of scales (kpc) |  Median $|{\\rm RM}|\\,({\\rm rad\\,m^{-2}})$                      | Colour                     |\n",
    "|-------|-----|------------|------|-------------------------------|------------|-------------------------------------------------|-----------|\n",
    "| 1     | 200 | Cell-based | Yes  | constant, 100                | $3.5-10$   | 1915    | Blue      |\n",
    "| 2     | 200 | Cell-based | No   | constant, 100                | $3.5-10$   | 1603    | Orange    |\n",
    "| 3     | 200 | Cell-based | Yes  | $100~\\sqrt{z/25\\,{\\rm kpc}}$ | $3.5-10$   | 2045    | Red       |\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = 1e-12 * 1e-9\n",
    "mass = 1e-13\n",
    "from scipy.interpolate import interp1d\n",
    "\n",
    "def set_pgg_axes(ax, xtick, ymin=0.855):\n",
    "    ax.set_xscale(\"log\")\n",
    "    ax.set_xlim(1,10)\n",
    "    ax.set_ylim(ymin,1)\n",
    "    xticks_to_use = [1,2,3,4,6,10]\n",
    "    ax.set_xticks(xticks_to_use)\n",
    "    if xtick:\n",
    "        ax.set_xlabel(\"$E$ (keV)\", fontsize=18)\n",
    "        ax.set_xticklabels([str(i) for i in xticks_to_use])\n",
    "    else:\n",
    "        ax.set_xticklabels([])\n",
    "\n",
    "def get_mean_sd_models(model_kwargs, rm_reject=False):\n",
    "    N = 200\n",
    "    rinterp = np.linspace(0,1800,1801)\n",
    "    Bfine = np.zeros((N,len(rinterp)))\n",
    "    moments = np.zeros((2,len(rinterp)))\n",
    "    for i in range(N):\n",
    "        s = setup_model(i, g, mass, **model_kwargs)\n",
    "        rinterp = np.linspace(0,1800,1801)\n",
    "        interp_func = interp1d(s.domain.rcen, 1e6*s.domain.B, bounds_error=False, fill_value=\"extrapolate\")\n",
    "        Bfine[i,:] = interp_func(rinterp)\n",
    "\n",
    "    moments[0,:] = np.mean(Bfine, axis=0)\n",
    "    moments[1,:] = np.std(Bfine, axis=0)\n",
    "    return moments\n",
    "\n",
    "def plot_model(ax, s, label, color, xtick, moments):\n",
    "    rinterp = np.linspace(0,1800,1801)\n",
    "    ax.step(s.domain.r, 1e6*s.domain.B, label=label, where=\"post\", c=color)\n",
    "    ax.fill_between(rinterp, y1=moments[0,:]-moments[1,:], y2=moments[0,:]+moments[1,:], color=color, alpha=0.3, step=\"mid\")\n",
    "    ax.set_yscale(\"log\")\n",
    "    ax.set_xscale(\"log\")\n",
    "    if xtick:\n",
    "        ax.set_xlabel(\"$z$~(kpc)\", fontsize=18)\n",
    "    ax.legend(fontsize=14, frameon=False, loc=3, handlelength=0.5, handletextpad=0.2)\n",
    "    ax.set_ylabel(r\"$B_\\perp~(\\mu {\\rm G})$\", fontsize=18, labelpad=-2)\n",
    "    ax.set_xlim(10,1800)\n",
    "    ax.set_ylim(2e-2,30)\n",
    "    yticks = [0.1,1,10]\n",
    "    ax.set_yticks(yticks)\n",
    "    ax.set_yticklabels([str(i) for i in yticks])\n",
    "    if xtick == False:\n",
    "        ax.set_xticklabels([])\n",
    "\n",
    "def plot_pgg(ax, s, label, color, xtick):\n",
    "    energies = np.logspace(3,4,1000)\n",
    "    P, _ = s.propagate_with_pruning(s.domain, energies, threshold=0.1, refine=10, required_res=3)\n",
    "    ax.plot(energies/1e3, 1.0 - P, c=color)\n",
    "    set_pgg_axes(ax, xtick, ymin=0.855)\n",
    "    ax.set_ylabel(r\"$P_{\\gamma\\gamma}$\", fontsize=18,  labelpad=-2)\n",
    "\n",
    "def plot_mean(ax, fname, color, xtick):\n",
    "    energies, P, sd = np.genfromtxt(\"../data/{}_13.0_12.0.dat\".format(fname), unpack=True)\n",
    "    ax.plot(energies, P, c=color)\n",
    "    ax.fill_between(energies, y1=P-sd, y2=P+sd, color=color, alpha=0.3)\n",
    "    set_pgg_axes(ax, xtick, ymin=0.855)\n",
    "    ax.set_ylabel(r\"$\\bar{P}_{\\gamma\\gamma,200}$\", fontsize=18, labelpad=-1)\n",
    "\n",
    "\n",
    "var_betas = [False, False, True]\n",
    "lc_scales = [True, False, True]\n",
    "labels = [\"Cell-based\", r\"Cell-based, no $\\Lambda_c$ scaling\", r\"Cell-based, variable $\\beta(z)$\"]\n",
    "iplots = [1, 4, 7]\n",
    "colors = [\"C0\", \"C1\", \"C3\"]\n",
    "xticks = [False, False, True]\n",
    "model = np.arange(len(labels))\n",
    "fnames = [\"cell\", \"cell_noLscaling\", \"cell_varbeta\"]\n",
    "params = zip(model, fnames, var_betas, lc_scales, labels, iplots, colors, xticks)\n",
    "\n",
    "i = 0\n",
    "fig = plt.figure(figsize=(12,12))\n",
    "\n",
    "for imod, fname, var_beta, lc_scale, label, iplot, color, xtick in params:\n",
    "    \n",
    "    # get mean and SD for resampled magnetic field\n",
    "    model_kwargs = {\"mod\": \"1275b\", \"var_beta\": var_beta, \"lc_scale\": lc_scale}\n",
    "    moments = get_mean_sd_models(model_kwargs)\n",
    "    \n",
    "    # initialise individual model\n",
    "    iseed = 0  \n",
    "    s = setup_model(iseed, g, mass, **model_kwargs)\n",
    "    \n",
    "    # make axes to plot\n",
    "    ax1 = fig.add_subplot(5,3,iplot)\n",
    "    ax2 = fig.add_subplot(5,3,iplot+1)\n",
    "    ax3 = fig.add_subplot(5,3,iplot+2)\n",
    "\n",
    "    # plot the magnetic field, pgg, and mean pgg \n",
    "    plot_model(ax1, s, label, color, xtick, moments)\n",
    "    plot_pgg(ax2, s, label, color, xtick)\n",
    "    plot_mean(ax3, fname, color, xtick)\n",
    "plt.subplots_adjust(hspace=0.25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
