{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from pyMPM import MPM" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "plt.style.use('seaborn')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot attenuation for dry air and air with 50% and 100% relative humidity " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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omsZrr73Cli2bWbv2He6990/ceONPuP32nwPwz38+yu23/5rS0jK2b9/K9u3bcDpdVFZW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\nl+kwNz8B3/laMf7z/dPY/LdqrPv6TMzJTwh2s8bkc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(14,6))\n", "\n", "f = np.arange(1,1000) # Vector of frequencies in GHz\n", "T = 15 # Air temperature in degree Celcius\n", "P = 1013 # Air pressiure in mbar\n", "RH_vec = [0, 50, 100] # List of relative humidity values used for plotting\n", "\n", "for RH in RH_vec:\n", " A = MPM(f, P, T, RH, 0, 0, 0, 'att')\n", " ax.semilogy(f,A, label='RH ' + str(RH) + '%')\n", "\n", "ax.set_xlabel('f in GHz')\n", "ax.set_ylabel('A in db/km')\n", "plt.legend(loc=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot dispersive delay for dry air and air with 50% and 100% relative humidity " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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G0qH5t9V8C9/YmljW2HViKjCSJIuGQgR27cTZq3c8Y25JSwOINWA4DgKjJnNe\nixYt4uGHH8bn83HRRRdx4YUXElJnFBER6UDMSISSf/4DLBZyL5zcOic16krppGOr3rYVqycDe37+\nIc/VldIpMJLkCuzcgRkONwjgjdqMkT+QrGG1qiYDo7lz53LJJZfw9ttvM3z4cD788ENefPHFthib\niIhISij/eDHBgn1knTm+0Q+vLaJSOgFCpaWEi4pI698fo5HuhHWldLpOJLmq1n8DQPoJJ8S3WZyx\njFH0OGnZ3axZUkOGDOGjjz5i4sSJuN1uZYxERKTDiFRXU/yP1zGcaXS67IpWO69K6QSgat1aANJP\nOrnxHVRKJymiav03YBikn3BifFttKV000EEyRnl5edx///2sXbuW8ePH84c//IHuB63KLCIicrwq\n+r/XiHi95F54Ebas7NY7cbyUTpmAjqxq3dcApJ80tNHna0vpUCmdJFE0EMC/ZTPOXr2xZmTEt8cz\nRv7qZA2tVTUZGD366KMMGzaMF154gfT0dHr16sWjjz7aFmMTERFJqqpvN1K+6N84unUnZ9KFrXvy\n+usYSYdkRqP4vlmHLTcXR7duje5TW0qndt2STNWbvsUMhw/JbFrSYnOMzONkjlGTXemcTidlZWX8\n/ve/x2azMWHCBNxud1uMTUREJGmiwSD7//osGAZdrpuOxW5v1fOrlE7827cT9fnwjBzd6PwiQKV0\nkhKq1q8DDi35PN7mGDUZGN111134/X6mTp1KNBrlH//4B5s2beLOO+9si/GJiIgkRdFrrxDav5/s\n887HNWBg679AbSldVIFRR+VbuxoA99DGy+gADGvNRzUFRpIkpmlS+dWXGA4HroGDGjxn1FvH6HjQ\nZGC0evVq3n333fjjiRMnMnlyK7UqFRERSUEVK5ZR9uG/cXTvQd4V30/Mi1hqMgSaY9QhmaaJd+Vy\nDIcD99Dhh9+xJrOoUjpJluCe3YT278czZmx8/aJa8QVe/cdHxqjJOUY9e/Zkx44d8cdFRUV06dIl\noYMSERFJlsDePez/618wnGl0/+ms+B/+1rK68GuKq0sw4nOMlDHqiAK7dhIqKMA9fES8s1dj4usY\nKWMkSeL9fCUAGaPHHvKcUVNibIbDbTqmRGkyYxQOh7nssssYM2YMNpuNVatWkZ+fz7XXXgvA888/\nn/BBioiItIVwWRl7/vQYZiBAt5t+iqNr4xPiW6rAt595a2N/N39tDgC0wGtH5V2+DICMcacecT/D\nYomVXSowkiSpXPU5ht2Oe9ihmc14YHScLOXTZGD005/+tMHj6dOnJ2wwIiIiyRKpqmLPHx8lXFRE\np8uuIGPMuFZ/jXXFG+P3S4OIcGK/AAAgAElEQVTlOEFd6TogMxLBu2I5FpcL97BhTR9gsaiUTpLC\nv3MHwX178Ywc3Whm09LRMkbjxrX+HwYREZFUEvVXs/eJxwns2kXWWWeTO/nShLzO+pJv4/dDRGKB\nkeYYdTiVX31BuLSErHMmYrE7mtzfsFpVSidJUb54EQCZZ45v9HnDFgsljpeMUZNzjERERI5nkSof\nu+c8QvWmb/GMGUfnq649fOvkY7TLuyd+P2TGPuiqlK7jKfv3BwBkn3Nes/Y3rFaV0knCmeEwgT27\niQaDQKyhQsWyZdhycxsto4MOWEonIiJyvAqVFMczRRmnnU7X635ct75QK/MGK6kM+eiUlkuxv4Rw\nTWCkUrqOxb9zB9XfbiT9xJNxdu/evINUSicJFvZWsGfOwwR27cI1aDA9f3EbFcuXYgb8ZH33wsP+\nXjRstaV0HSgw2rRpE+Xl5Q2+1Ro79tDOFCIiIu1F9ZbN7P2fPxGpqCDr7Il0nnZ1woIigALfAQAG\nZPeluKCEkFlTk6+MUYdS/M9/AJBzwaRmH2NYrJiR42MOh6QeMxxm35NzCezaBUD1pm8pfvMfVCz9\nDMNmI2v8hMMeW5sxinaUjNF9993HokWL6NWrV3ybYRjqRiciIu2SaZpUfPYpB+Y/hxmJkH/lVWSf\ne17CyudqFVTFAqP+WX1ZUfAFwZrASKV0HYd/+zZ8X35B2oCBpA9tRtOFGobNChFljCQxChe8XFNK\nPJYu117P9jt/Rcmb/wQg5/xJ2LJzDntsh2vX/emnn/Luu++SdoQe+yIiIu1BpKqKAy88j3fFMiwu\nF91n/fzIi2u2ogLffgB6ZXTHbrETMmN1/Cql6xhM06TwtQUA5F0+5egCcYsFM6o5RtL6Sv/9PmUf\nfoCjew+6XvdjLGlpdP3JDA68NB9Hl650mvK9Ix5/vDVfaDIw6tWrl77NEhGRdq9qw3oKnnuGcFER\naf370/WGm3Dkd26z168tpeua3hm3PZ2gWQ2AqQVeOwTviuVUb1hP+tDhpJ940lEda1isREPBBI1M\nOqqK5UspfPklrJmZ9Pj5LfF23O6Th9Jv9oPNOodhsYDV2nECo6ysLC6++GJGjhyJw1HXUvKBBx5I\n6MBERERaQ7i8jMJXX8G7bCkYBrmTL6HT5Mvi33S2lYKqA2Q7s0izpeG2pxOKxjJIatd9/ItUVlK4\n4G8Ydjudr7r6qI83rFbw6zqR1lO2eBEHXngeS1oaPX7+X9jz8lt8Lovd3nFK6caPH8/48Y33LhcR\nEUlV0UCA0vffo+SdtzEDfpx9+tLl6mtJ69e/zcdSHfZTFihnSM4gANJtrrrmC8oYHddM02T//OeI\nlJeTN+X7LctSWq0qpZNWEQ2FKPzbi5Qv+QiLx0PPW39JWp++x3ROw2Y//jNGhYWF5Ofn853vfKct\nxyMiInJMzGgU7/KlFP3f3wmXlmDNyKDTD6aSNeHshHadO5L9NY0XurpjH4pdNhfRmikmpjJGx7Xy\nJR9RuepzXIMGk/Pdi1p0DsNi0TpGcswCu3ZR8Jf/R2DnDpy9etPtp7NapZzYsHeAwOiuu+7iqaee\n4uqrr8YwDEzTbHD773//uy3HKSIickRmOEzF8mWUvP0mof0FGDYbORdeTO5Fk7G6XEkdW3x+kbsL\nADaLFWrn3mse73Grav03HHjpBSxuN11/MqPlgbnVqnWMpMUi1dWUvP0mpf96FyIRMs8YT+dpV2Nx\nOlvl/IbNdtzMgTtsYPTUU08B8OGHH7bZYERERI5WNBSk4rPPKH3nLUJFhWC1kjl+Ap0mX4q9U16y\nhwc0bLwAYLPYMGu7kukD73EpuG8ve598AoDuN//8mK5Fw2rFVMZIjlI0FKR80SKK3/4n0cpKbJ06\n0eWa/2j1TpyG3Y5Z5WvVcyZL2848FRERaSXBgn2UL1lM+acfE/X5MGw2sieeS86ki7B36pTs4TVQ\nUBVrtFBbSmczbITipXTKGB1vggX72PXoQ0Srq+n64xtIH3zCMZ2vtpSutmpH5EgilZWUL/mI0g8/\nIFJWhsXlotMV3yPnvAtaLUtUn9GRmi+IiIikimggQOUXn1O+ZDHVm74FwJqRQc53LyLnvAuwZWcn\neYSNK/AdwGN3k+HwALGMUUildMelwJ7d7H70ISIVFeRPvZLM08449pNarbFb0wQFRtII0zQJ7NpJ\n+ceLqfj0E8xgEEtaGjmTLiT3wouxejwJe23DZjv+5xjVqm3CICIikiz+nTso/3gx3mVLiVbH1v9J\nP/FkssZPwD1yFJaa1ddTUTASpKi6hAHZfePbbBYr8XBIpXTHDd/Xa9n31JNEq6vpPO1qsiee1yrn\nNWoCIzMSSVoDEUlNoeJivMuXUrFsKcG9ewCwdepEzrnnk3nmBKzp6Qkfg2G3QzQauz5rg/h2qsnA\n6Oqrr6ZPnz5cccUVnHvuuQ3WMhIREWlNpmlihsNY7HbC5eVUfrGK8o8XE9i5AwBrdja5E88j88zx\nbbo467HYU7kPE5Oenu7xbTaLTV3pjiOmaVL2/nsUvvoKhtVK1x/f0DqZohrxYCgSgRT+EkDaRsTn\nw7tqJd5lS6n+diMQy9p4Ro8h89TTcQ8f0aYBSu0XU2Y4fPwHRu+99x6ff/45r7/+Oo888ghnnXUW\nV1xxBcOGDWvy5KtXr+aRRx5h/vz5rF+/nvvvvx+r1YrD4eDBBx8kLy+PBQsW8PLLL2Oz2Zg5cybn\nnHMOJSUl/PKXv8Tv99O5c2ceeOABXEnuKCQiInVM06Rq3VqK3/wn0Sof+T+chvvkoS06V3DfXrwr\nV1C96Vuqt27FDPgxnE7MQCC2g8WC+5SRZI0/C/fQYe3uD+/uyr0A9MzoEd/WsPmCSunas3B5GQV/\neZaqr9dgzcqi+09/hmvAwNZ9kdqMkdYyateqt26h9L13CBUWknPeBWSe3vzgORoK4Vu7Bu+yz/Ct\nWR2f0+M6YQiZp56GZ/QYrOnuRA39iAxbTWAUCkEC5jC1pWbNMRozZgxDhw7l3Xff5bHHHuPDDz8k\nNzeXe+65h1NOOaXRY55++mneeOONeEAze/Zs7r77bk488URefvllnn76aX7yk58wf/58/v73vxMI\nBJg2bRpnnHEGTz75JJMnT2bKlCnMmzePV155heuuu67V3rSIiBy9aChIpLycYME+St56Mz7HB2Df\nvD/T73d/wJqR0axzhSsq8K5YTsWyzwhs3xbf7ujWHVt2DpHKCqyeDNKHDiPzO6diy85p9ffTVnZ5\nY4FRr3oZI7thq9euWxmj9siMRqn47FMKX3uFaGUl6ScPpev1P0nIPLf4lwERXSvtUfWWzRS/sZCq\ndV/HtxU8+zT2/HxcgwYf9jjTNPFv3ULFp5/g/XwF0aoqABzde5B52ulkjDs1JRrNGPGMUfufZ9Rk\nYLR06VIWLlzIZ599xllnncVjjz3GqFGj2LhxIzfccANLlixp9LjevXvzxBNPcNtttwEwZ84cOneO\nlT1EIhGcTidr1qxh5MiROBwOHA4HvXv3ZsOGDaxatYobb7wRgAkTJjBnzhwFRiIiSRD1+2PfUn6+\nAt/aNZjBurUq3MNHkHfF9/CtXUPR/72Gd+XyI86pMKNRfF+vofzjJfjWrI6VBVkspA8dTuZpp+Me\nOgyrOznfeCbS9oqd2C32eEc6iM0xipfSKWPU7vh37uDAi/Pxb9mM4XSSf+VVZE88N2Hzf2rPq5bd\n7UewYB/ez1dSuWolgV27AHANOZFOky8Fi4XdDz1AyXvv0KORwCji9VL+2SdUfPIxwX2xL1as2dnk\njD+LzFNPw9GzV0p1JzRssXAiehw0YGgyMJo7dy7f+973uPfeexuUs51wwglMnz79sMdNmjSJ3bt3\nxx/XBkVffPEFL7zwAi+++CIff/wxGfW+XXS73VRWVlJZWRnf7na78Xq9Tb6RnJx0bLbUKa/Iz2/e\nt6YiB9O1Iy3RWteNaZpU79lL2VerKfviS8rXfk20Jhhy9eiOZ/Bg7FmZ5J1xOhmDBwEQ6NOVotf/\njv+rVeT/8IpDzhmqqGDf2++y/1/vEywuAcDdry+dJ55D3oQzcaRoJ7nW4AtWsbeygJM6D6Jbl7qs\nV1aZO958ITMjjbwk/X+v3zdHp3rPXna+/ApFH38Kpkmn006l34+vx5mf2PWySt1peIHcbBfOFPmZ\n6dppKFxVRfnadZR9+SVlX36FvyDWot+w2cgZO5oeV1xG1sknAzVz0gYPonL1V3hCXlzdY9nkUHk5\nexa+wb633yXq92PYbOSdeQadz5tI9vDULSOuyEynAsjxOEhv4rpI9eumycDoxRdfpKysjLKyMkpL\nS4lEIuzevZvTTjvtqLM4b7/9Nn/+85+ZN28eubm5eDwefL66BaF8Ph8ZGRnx7Wlpafh8PjIzM5s8\nd2lp1VGNJZHy8zMoLGw6mBM5mK6djiOwaycl/3oX/+ZNuAYOpvO1/4HF3rLmNi29bkzTJFxSTGDn\nTvzbt8X/Rev9XnZ0745n1GgyxozD0aNn/FtKP+CPv6YD16DBVKzfwN5vd2LPiQUAkSofJW/+k7KP\nPoy1jnW5yDrrHLLGn4WzTx8Mw6A8BBzH1/y64g2YmPRy9WzwM/JXheOldBVlPswk/DfQ75vmC+7f\nT8k7b1Lx2acQjeLs3Ye87/0A98lDqYCEX8OBYKyErriwAjvJn8PR0a8d0zQJFxVRvWUT1Zs349+y\nicDu3fHW+xaXC8/I0XhGjcI94hSs6W6C0OC/WcY551P57SY2/fUl8n9wJaX/eoeyRbHfldbsbPIv\nvYLM08/A6vEQBopKUudz7sH8NUsYFReW43Md/ouuVLpuDhegNRkYPfHEEzz33HOEw2Gys7M5cOAA\nQ4cO5dVXXz2qAfzjH//glVdeYf78+WTXfDs4fPhwHn/8cQKBAMFgkC1btjB48GBGjRrF4sWLmTJl\nCkuWLGH06NFH9VoiIqnIjEbxrVlN2YcfUPXNuvj2UGEhFnc6na+8KjGva5pEKioI7t1DYM9uAnt2\nE9yzh+DePUT9/gb72vPzcZ90Mq4TT8J98rBm169njB1H9bcbqVy5nOzzJ+Fd+hmFr75MxOvFlpNL\nzpTvkjX+rIQsLpjKtpZtB6B/dr8G222GjWhNkKkFXlOTaZpUb9xA6Qf/wrf6KzBNHN270+myK/CM\nHN22bbOtKqVLpnBZGf6dOwjs3EFgxw6qt24mUl4ef96w23ENGoxr8GDcJw8jrV//eHnZ4XhGjcbZ\nuw/eZUvxLlsKgC0nh5zvTyVr/IQWf1GWDLXv9XhYy6jJwOj1119n8eLFzJ49m5kzZ7J161Zeeuml\no3qRSCTC7Nmz6datGz/72c8AGDt2LD//+c+55pprmDZtGqZpcuutt+J0Opk5cya33347CxYsICcn\nh0cffbRl705EJIlM0yRUWIh/y2aqvllH5drVRCsrAXANPoHciy7GNegEdtx7F+UfLaLTJZcf8xyb\nSFVVTQC0h+CeXTW3e4hUHvQtndWKo0tXnD164OjRk7S+/Ujr26/FiwB6Ro+l8NVXKPq/16hYtpTA\nzh0YDgd5U75P9vmTUnqdoUTaUr4dA4P+Wb0bbI91pat5oOYLKSVSWUnFimVUfLyEwK6dAKT170/O\neZPwjBmblHWEDGvNB091pUsoMxolVHgglkWvDYR27SRSUdFgP2tWNp7RY3ANHETagEGk9e7dZCB0\nMMNqpftPZ3Hglb8RrawkY9ypZJ45vl3+row3X+gIgVHnzp3xeDwMGjSIDRs2cMEFFzQ7UOnZsycL\nFiwAYMWKFY3uM3XqVKZOndpgW15eHs8880yzXkNEJNnMaJRwaQnBggKCBfsIFuwjVFBAYPcuIvXm\nSFqzssk6eyLZZ52Ds1ev+PasCedQ9PcFeJcvbfaCkGY0SnDfPgI7d+ArPUDZpq0E9uwmXFLScEfD\nwJ6XT9rAgTh79MTRo0fstkvXo/5DfiS2zEzyr5zGgfl/JbBzB56Ro8m/8kfYOyV27kUqC0fDbK/Y\nSXdPV1y2hktO2Cz1utKp+ULSmdEoVd+so+LTj6n88otYK2SLBc/oMeRc8N3Wb799lOrWMVIQ3VrM\ncJjA3j0Edu6MB0CBXTsPyaLbOnXCfcpI0nr3wdm7D87evbHl5LZK8wN7Xj49bv75MZ8n2SwdqSud\nx+Nh4cKFnHzyybzwwgt07twZ/0EXjYjI8SoaChIuLSNcVkq4tIRwSWnd/bJSwqWlhMvLIXroBxZb\np054xozDNWAArkGDcfbu0+i3zZmnn07R669R/snHhw2MzEgE/9Yt+L5eS/WWzQS2bzvkD7g1O5v0\nk4fGAp/uPXD27ImjW/c2K1/LnnA27qHDwYx26ICo1i7vXkLRMAOy+h7ynBZ4TT4zGsW/ZTPeVSup\nXPU54dJSINYyPvPM8WSeehq2rBRpDFK7jpFK6Y6aaZpEyssI7N5FYNfu2O3uXQQL9sU6Y9YyDBzd\nuuHsFQt+0nr3wdmrd4uz6B1Jg3WM2rkmA6PZs2fz1ltvcfnll7No0SLuuecebrnllrYYm4hIs0UD\nASKVXiIVFYS9XiJeb+xxzS0YpPXvj2f4CGzZOZjRKBFvRV3QE/9XFgt2ymLb6zciOITVii0nh7T+\nA7Dn5mLv0hVHt244unbD0aVrswMSW1Y27uEj8H31Jf6dO0jr3QeomePw7UbKP1mCb/VqolX1miJ0\n7UZa//6k9e1H56EnUJ2ekxJ/wO25uckeQsrYUh5bn6mxwMhusca70qE5Rm3GjEap3ryJys9X4v3i\ncyJlZQBY0t1kTTiLzDMnxOaHpFArZKhbx0ildEcWDQZjpcS76wKgwO5d8RLmWobTSVqfvjh79Ypl\ngXr1wdmzJxZH+5nXk0rqSunCSR7JsWsyMOrSpUu8LfevfvWrhA9IRDoWMxLBDAWJBgJEq/1E/dVE\nq6trbv1Eah9XVxP1++s9F3scqfIR8XoxA4EmX6vikyUcACxpaUQDgSN+ILW4XNiyc7D17hO7zcnB\nlpNbcxu7b/V4Wm2+QdaZE/B99SXlHy/BMfVKvMs+o/T99wjuja1hYcvNJWPsONzDhuMaNLjBXKSs\n/AyCKdLpR+rUNV7oe8hzsTlGNc0XGsk2SuuJ+v1UrV+Hb+0aKlevJlJeEwy53WSeOYGMMWNIH3JS\nq5aWtjaV0jVkmibh0tJYCVy9ACi0f/8hv9ft+fmkDzoBZ69eOHr2wtmzF/a8vKTMFTte1QZGx/U6\nRkOGDGnwjYlpmhiGEb9dv359mwxQRNqWGY1ihkKYwSDRUBAzGIoFLsHgYbeZoVDznq95LhoMxLdx\nDKUhhjMNa3o6ji5dsWZk1PzLxJaRgdWTgTUzE6vHgzUjAzMcpmr9N/jWriHi9WI4HNiys2v+5dS7\njd23pKW14n/VprmHDcealUX5on/jXb4slh2yWskYdypZZ5+Da9DglPsWWw7PNE22lG8nx5lNblrO\nIc/bjPrNF5Qxam3B/fvxrV2Nb81qqr/dGJszBFg9GWRNOAvP6LGknzAkpYOhBuKldO3/G/mjFVtW\noAT/ju0EdmyP30YOWuPS4nLhGjgoHvw4e/bE2aNnm/8u74gMe01zkHD7vz4P+xthw4YNbTkOkXbF\njEaJVlfXK9WqJOKtIFLpIxrwY8vNxXPKKGzNWIOrydcyTcxwCDMQJFoTsBwu6IhtOzgoCRKt2XZw\nUBIPgOJBSzBhv9gMhwPD4cBid2BxuTAys7DEt9kxnGlYXGlY01xYXC4saS4srrR69+ttS3NhSUs7\n6m/8nD16knPeBQl5f8fKsFrp+uMZ7H/+L5jBIDmTvkv2uReoNK2dOlBdRGXIx5gupzT6fIOudGq+\ncMzMcJjqTd9SuSYWDIX2F8Sfc/bug3v4cNzDRsTK5NphpqCulO74zxiFy8vwb92Cf9u2miBoxyFd\nNW2dOsXbXTt798bZoxe23NZpiCBHr0PNMQoGgzz77LNs27aNu+++m+eee44ZM2bgUB1mSjJNM/ZB\nNxAgGvBj+v2ESksJFxUS2LuX0P79GA476SedTOa4U7FmJHcFYtM0IRKJZSkikdj9msdEwpiRKETr\ntpnhSPwx0ShmzT6xx5HY/pEIZu0+Dc5Xcz9+bKTecfWODdfLfhx8Wxs8BINNvrfCl18i+5yJZJ4+\nHsNmjZWFVdbMe6n01dxWEvVVxn5ewSB7I2GCVdWYgQDRYIBoIIgZPHLJV0sZdjuG3YHhsMcCFI8n\ndmu3xwOYWDBjr7tvt2NxOOtti53D4nTEzmV3YHHYMRzO2G3tPja7/mA1g/ukk+n/h0eSPQxpBVtq\ny+gamV8EYLNY44GRmi+0TLisrCYrtAbfN+swA7FmJIbTiXvkKDzDRuAePhxb9qEZu/YmHswdZ3OM\nzHAY/84dsUBo6xaqt2wmXFzcYB97Xj6uE06IzQnq05e03n2S/tlFGopnjDpCYPTb3/6W3Nxc1q1b\nh9VqZceOHdxxxx088oj+eB/Ojhf/RuHyzw+/g2mCGcWMmjX3zdgfRtOMfXNomrEP8o1tr31smjXH\n13tsmrHOWM34EO1b/RWFC14mY/RYci+ejLNHz9jQIhFCJcWE9u8nVHiAiM93UIAQiAUnkUgsKDko\n4GgYdIQhcpgApF5wk9Ks1rqshsOBzZUVv29JT4+VaXlqSrg8GVgzPFgcTgI7d1L6/ruUvhf711y1\nwYrF6cTiSseWnRN/vditsy4Yid/WBi2OesGIIx7kNHy+JvCx29vlt6Yi7cW3pVsAGHjQwq61rIYy\nRkfLjEZjnRnXrsG3dg2BnTviz9k7d8E9fDzuYSNwDT6hXa4Fc0S1GaNw+w6MosFgbF23jeup3rgR\n/7atDaoULB4P7uEjSOs/gLR+/Unr0zclmsrIkdUuRtsh2nWvW7eO119/nSVLluByuXjooYe45JJL\n2mJs7Za/Zi2TRplm7AOpYYBhAYsR+ya95rFhqb1vYFisGBZ77L5hgKXmGKPeMRZLveMNDIsFw+mM\nfbB2pmFJc2LNysael4ejSzcc3bsTrfLhXbGC8k+W4F2xDO+KZTj79iNaXU2oqLDlcz6sVgyrNfb+\nrNbY+G1WsFiwOJ1122v+YbHU3a85zrDawFqz3VKzveYxFmsj+zdy/2iPjY/ZFtvfZotlPOz2Ftef\npw85kaxzJuJd+hnVW2MfkCxpznpBVE1A5cnA6nZjSXNi2B107ppNoSbRi7RrpmmyofRbMhweuru7\nNrqPzWLDrF3ISBmjwwp7K6j6+utYMLRubbxLpGGzkX7iybiHDcc9fASOro3/dz5etNdSOjMcpnrr\nFqrWf0P1xg34t26pC4QMA2ev3qQNGICr/4BYd8/OXVRd0A51qFI6wzAIBoPxC7W0tFQXbRNO+MWt\nKf3h1uJwkHPBJLLPvwDfmtWUvP0m/q1bsLjdpPXpg71zFxxdumLPz8eakRnLMjiddZkHWyzbEAt6\n6gU5ui4asNjtZE04i6wJZyV7KCLShvb6CvAGKxnbZdRhfy/a65fStbMPu4lkRqOxRYvXrsG3djX+\nbdviVRC2nFwyxozFPWwE6UNO7BCT6qtCVRyoLiK7HZXShcvL8K1di2/taqq+WUe0ujr2RE0glH7C\nEFxDTsQ1aBDWdPeRTybtQodovlDr2muv5frrr6ewsJDZs2fzwQcfcPPNN7fF2CTBDMPAM+IUPCNO\niXcbFBGRY7O+5FsATswddNh9GjRf6OBd6SI+H1XfrIvNF1q7loi3IvaExYJr0GDcNXOFHN17dKi/\nU9VhP3d8OptQNMSd0dgXbKm6wGuosBDv5yvxrlpJYPu2+HZ7Xj6Zp51O+klDD1lmQI4fHaJdd63L\nL7+coUOHsnz5ciKRCH/+858ZMmRIW4xN2lBH+mMjIpJIG0o2ATBEgdFhBQv2UfnFKnxr11C9ZXN8\nvqk1M5PMM8bjHjac9JNO6tAZhZUFXxKKxj5oloS8OCCl1jEKl5VRsXwp3pUr6oIhqxXXkBPxDB+B\ne9hw7F276fNFB9AhSukWLlzY4LG7JsrfsGEDGzZs4PLLL0/syERERNoZf9jP5rKtdHd3Jct5+Hb9\nFsOCYcTKozpKKV24rBTvihVULF9KYMf22EbDIK3/gNhcoWHDcfbqrcYwNTaVbYnfLw2W0wUwk1xK\nZ0Yi+NauoWjFZ5R8vioW0FospJ88lIyx4/CcMkrNEjqgulK64zgwWr58OQA7d+5kx44dnH322Vgs\nFj755BMGDhyowEhEROQga4q+IRQNc0rnYU3uGw8AjuOMUTQUonLVSio+/YSqDetj79ViwT1sOBnj\nvoN76HC1Xm6EaZpsKt0af1xcGxglqZQuUl1N+ZKPKPvgfcKlJQA4+/Ql68wJZIwZq59hB1dbSndc\nZ4weeOABAK655hreeOMNcmsWGSwvL9ccIxERkUZ8cWA1AKM7j2h6ZyO+kFECR5QcwQMHKF+8iIpP\nP4kvzpk2YCCZ3zkVz9hx2DKOffHr41lB1QG8oUrGdDmFdcUbKQtXxp5o48AoXF5O6fvvUb54EdHq\nagynk6yzJ9L3sgupzshv07FI6oqX0nWE5gsHDhwgOzs7/tjlclFYWJjQQYmIiLQ3VaFqvin+lh6e\nbnR1d25yf4ulfbZgPpLArl0Uv/VPKletBNPE4vGQM+lCsiacjaNLl2QPr93YVLMO1uCcAWwv30nA\nLAfa7lqJ+v2U/utdSt57BzMQwJqRSacrLiL7rHOwejx48jOoTuHuu9K2LB0hY1Tr7LPP5vrrr+eC\nCy7ANE3eeecdLrzwwrYYm4iISLvxZeEaImaEUc3JFgHES+naR2AUPHCAqvXrcA0cjLNHj4bPFR6g\naMErVH65CgBn7z7kXDAJz+gx8cUfpfm+LYuV0Q3KHsAS21IC0SIg8aV0pmniXfYZha++QqSiAmtm\nJp2+9wMyx0/Qz1EOz2oFw+gYgdGvf/1r3nvvPVasWIFhGEyfPp1zzz23LcYmIiLSLpimyZLdS7EY\nFr7TdVSzjrEYtWvTpGoaEz8AACAASURBVHYpnWmalH/0IYULXo598LFY6PGzW3APG040FKL0vXco\neeufmKEQaf0HkDv5UtzDhqsbWQvF5hdtIduZRb6rEy5bGn5qPnAmMDAKFRex//nnqFr3NYbDQadL\nLyfngu92iPWi5NgYhoFhsx22lC5UUkykogLyh7fxyI5ek4ERwKRJk5g0aVKixyIiItIubS3fwe7K\nvYzMH0ZOWnbTB0A8Y5TKpXSRykoKnnsG31dfYnG7yT73fMo++Bf7nplH7oUXU/7xYkIFBVgzM8m/\nbjoZ405VQHSM9vn2UxnyMa5rbIHgNJsTvyX23zRR10rF0s/Y/8JfMQMB0k8eSpdr/gN7nuYQSfMZ\ndvth1zHa97//Q7CggF5/m9/Gozp6zQqMRERE5PA+2v0JAGf1PL3Zx1issTlGqdp8oWrDevb9v6eI\nlJXhGnIiXX88A3tODo6uXdn/3LMUvfoKGAbZE8+j0+VTsKanJ3vIx4WNpZsBGJw9AIA0q4tobZ+O\nVs4YRUMhCl9+kfLFH2Fxueh8/U/IPP0MBbdy1Ay7vdFSumBBAf6tW0kfmvrZIlBgJCIickz2+fbz\n5YG19PR0Z2B2/2YfV7uOUaoFRmY4TPEbCyl55y0wDPKmfJ+c714Uby+edeYE7Hn5BHbuwD1sOI5u\n3ZM84uNL/cYLAC6bk2jt0k6tGBhFqqrYO/ePVH+7EUfPXnSfeTOOLl1b7fzSscRK6Q4NjLyfrwAg\n8zvfaeshtUizAqNNmzZRXl6OWe+X99ixYxM2KBERkfbira3/wsRkcv8LjuqbdksKltKFigrZN+9/\n8W/dgj0vn64zbsLVf8Ah+6UPOZH0If+/vfuOb6s+9wf+OUPTkjzlGSexs1NnkISEkTBLwyZhFOi9\nAUoHaWko3SGUdZvejktpKfx+bW9v2/wo7aVASmlLS0rDCAkQaMh0Fkmc4b1tSdY85/v7Q8N2bMeO\nh45tfd6vupKOjo4exQdLj57v9/nOMiDC8U0XOj5qPYZsayaybdFlUqyqFbo0vEPpIq2tqHryRwie\nOgXHgoXI/+w9kM1srkBnRwiBiNBgklXIJjM0n7fHPr69ewBJQtqcATalMVi/idFjjz2GN954A8XF\nxYltkiThmWeeGdHAiIiIRrvj7Sexs2EvJrmKUZZ9domCJI+uoXTe3btQ+6tfQu/wwbnkPOT++51Q\nbDajw0oppzxV6Ij4Mdf9scQ2m2KFiBcXh6FipHm9qHzihwhVVyP9ksuQ+6l/71xsmGiAmgMt+L+7\nf42OsB8Pn/cNSFYr9KbGbvtoXi8Cx47COmUqFIfDoEjPTr+J0bZt2/Dqq6/Cyq4kRERECZqu4bmD\nfwQArJxy9VnPy+gcSmdsxUhoGhpf2oiWV/8GyWRC3p2fhmvpRZxnYoBdDfsAAHO6JNlW1ZKoGA11\nKJ0eDKLqpz9GqLoaGR+/Au5bP8XfMw3Kq8c3o8ZXBwA41PIRsm02iHAYIhKBpEbTC1/5PkAIpM0Z\nG/OLgAEkRsXFxd2G0BERERHwVuU2nPJWY0n+QkzL7DncrD+dC7wa9x6reb2o/vn/gf/gAZhy81D4\nhXthKZ5oWDypTAiBXQ17YZZNmJ09I7HdqloTc4yGMpROCIGaX0aHSTrPOx/uT97OpIgGxR/x44Pa\nnYnbexsP4NJYAUUPBBLVId/e3QAwvhKj9PR0XHPNNTjnnHNg7jL+9Hvf+96IBkZERDRaVXqq8fKx\nV5FmsmPl1GsGdxCD5xj5a2px8nvrEa6rheOchci7+7McOmegGl8d6jsaMd89B2al8/OWTbV26UrX\n+zoxA9H62ib4du2Mdhi86zMcPkeDtr3mQ4T0MK4rXY5Xj7+OSk8VFGsaAEAP+KE4HBBCoGN/OZT0\n9DH1ZUu/idGyZcuwbNmyZMRCREQ06vkjfvy6/PeI6BF8tuzf4TQPbux8Z7vu5CdG/qNHcOz//BSR\n9nZkXnk1cm68mR+UDbazfg8A4Bx3WbftVsUKXY4PpRvcueI/egQNG1+Akp6Ogs+tTgx1IjpbQgi8\nXfUuFEnBhYVL8G71B2gPeSFZswFEK0ZAtJGL1t4Ox8JFY6oy2e9/GStXrsThw4fx/vvvIxKJYMmS\nJZg1i51oiIgo9Wi6hl/t+x3qOupxWfEyzMmZPehjybE5Rro+vGvT9Kfj4AFUPfUTiHAYuavuQsbF\nlyT1+aknTdfwbs2/YFbMKMvp/hnLopg7K0aDOFf0YBC1v/wFoOso+NxqqOnpwxEypagjrcdQ21GP\nRXnz4TQ74DQ7ccJzCnJ8KJ0/mhgFjkbX47JNmWpYrIPR79dDf/rTn/DFL34RlZWVqK6uxpe+9CW8\n+OKLyYiNiIho1NCFjmcPvoADzYcxO3sGVky5ekjHM6Jdt29/Oap++mOISAQz136DSdEosbdxP1qC\nrTgvfyGsavdmVybFNKR1jJr++meEGxuQ+Ykr2WKdhuyNU9HFrJcVnQ8AcFmc0IWOiClaAdeDfgCA\n/2h0PS7rGEuM+q0Y/eY3v8ELL7yAzMxMAMDq1atxxx134Oabbx7x4IiIiEYDTdfw2wPP44O6nZjs\nmoi7P/ZvUOLttgdJkqNvwclKjPxHj6D66ScBXUfhvfche8liNDR4kvLcdGZvVb4DALhowgU97jPJ\n6qDXMQpWV6PlH69CzclB9vUrhh4opbRaXz32NO7HJFcxpqRPBgC4zE4AQNAUPUe7VowkVYVl4iRD\nYh2sfhMjXdcTSREAZGVljamxgkREREMRiASwYf9z2Nu4HyWuibh3/mdgU4e+hIUix4fSjXxiFKyu\nTlSKCr+4Bo65Y2OxxVRwtPU4DrcexYzMqShIy+txvyqrnV3pzrJi1PTyHwFNQ+6tt0O2WIYjXEph\n/zz5FgQEPjHxkkQuEJ9jGVB1yIg2X9CDQQQrT8FaUgrZZDIw4rPXb2I0Y8YMfPe7301UiF588UXM\nnDlzxAMjIiIyWkNHE36xdwNqfHWYnjkVn59zx7AkRQASzQ6EGNk5RprHg6onfwTd50PeXZ+BY/45\nI/p8NHBCCLx05BUAwLWln+h1H5Nsgoh/H30WiVHg5Al4d/wL1pJSpM1fMNRQKcXV+eqxvXYHcu05\n3RYgjleM/IqONEQrRoHjFYCuw1Z69ssYGK3fxGj9+vX46U9/inXr1kEIgSVLluCRRx5JRmxERESG\nEELg3ZoP8OJHf0ZQC+GSCRfixqnXDnn4XFeyEh9KN3LrGAlNQ81//wyRpiZkX78C6UvZZXY0+bB+\nDyraT2C+uwylsaFJpzPJpkRXurMZStf8lz8DALJX3MiRPjRkLx75C3Sh44YpVycaxwCdiZFP1qKJ\nUcCfaLww1uYXAQNIjKxWK775zW8mIxYiIiLD1Xc04oWPXsb+pkOwKlbcOfs2LM4f/m/cExWjEexK\n1/jSRnQc2I+0efORde31I/Y8dPbaQx48f/hPMMkqbphyVZ/7qbLSZR2jgZ0r4cYGeHd9CMukybDP\n/lj/DyA6g10N+7C/6RBmZE7FvJzu51OayQ4A8KvRpF0PBBCqrwMwzhKjlStX4qWXXsLMmTO7fdMg\nhIAkSThw4EBSAiQiIkoGb8iH106+iTdPbUVEaJiZOQ3/NutmZFkz+3/wIMix6tNINV/w7S9Hy6t/\ngykvD/mf+TzXKRpFdKHjdwdegDfsw83Trkeu3d3nvrIkd1YqB5gYtb7xOiAEMi+/gtUiGpK2YDt+\nf/BFqLKKW6bf0ON8sirRuWsdSvTvmNbhQ+DoUahZWTBljszfzpHUZ2L00ksvAQAOHjyYtGCIiIiS\nzRPyYvPJLXir6h2EtBAyLRm4cdq1OMc9Z0Q/VMY/7IoRWOBV8/tRt+FXgCyj4HNfgGK3D/tz0OC9\nfPTv2Nd0EDMzp+HiXjrRnU5VzNBlaUBJtB4Koe3tLVCcTjjOXTwc4VKKaPK34Hj7SZSmT0KmNQNh\nPYLflP8evnAHbpl+Q6/NQeJzLtvtMiBJ8O3ZDc3TDufiJckOf1j0O5Tu5MmT2LVrF6677jo88sgj\nKC8vx2OPPYaysrL+HkpERDQqCSFwvP0k3qp8FzvrdyMiNKSbnbi+9EpcWLgEZmXkOylJI1gxanj+\nfxFpbkbWdTfAOnnysB+fBu+1E2/inyffQp7djc+U/Vu3+Rp9MSkqdGlgQ+l8e3ZB7/Ah88qrx1xH\nMDJGSAvjHyfewGsn3kBEaLAqFtw240bsbtiHj1qPYZ67DBcX9Z7Ax9fd8kthmHLzEK6rBQDYps9I\nWvzDqd/E6IEHHsAtt9yCzZs3o6KiAg888ADWr1+P5557LhnxERERDZsmfwt21O3CB3U7Ue2LvoHn\n2nNwyYSluKDgXJiSkBDFKbF1jDDMFaOOgwfQ/vYWWIonIvua64b12DR4utDxSsVrePX4ZmRY0vGF\nuXfDbhpYJS/RgGEAiZHn/e0AANeS84cUL41/utCxp6EcLx15BY2BZmRY0nFO7hxsrdqODfv/FwAw\nJb0Ed82+vc/qeXwonV8LwlJUlEiM7DPGZgfrfhOjYDCIFStW4MEHH8R1112HRYsWIRQKJSM2IiKi\nIRFCoMpbg/1Nh7C36QCOtR0HACiSgnnuMiwrOg8zMqcO6Fv74dbZfGH4utIJXUfDH6IfaPLuuAuS\n2u/bPCVBR7gDvzu4Ebsa9iLbmon7zrkHObasAT/eFFvLqL/qotbRAd+e3TAXFsI8YcJQw6ZxKqJH\nsLuhHP848QYqvdWQJRmXF1+Eq0s+DqtqxcLc+Xir8h1kWzNwxaRLzlhBV2QFZtmEQMQPU3YuAEC2\n22HKL0jWyxlW/f7FVBQFmzZtwptvvokvf/nL+Oc//wmZEziJiGgUEkKgNdiGY20nsL/5EA40HUJb\nyAMAkCBhesYULMqfj3Pccwb8bf1IURLtuoevYtT+zjYET52E8/wLYC0pHbbj0uCVNx3E7w68iLZQ\nO6ZmlOCzZasSi2IOlEk2RTvT9VMx8u3aCRGJwLn4PDZdoG50oeNo63HsbtyHD2p3whv2QYKERXnz\ncfXkjyMvLTexb0n6RJSkTxzwsa2qFYFIEBmXfRya34/s63s2aRgr+k2M/uM//gMbNmzAww8/jNzc\nXLzyyitYv359MmIjIiI6o46wHyc8p3Ci/RSOt0cv22OJEAA4TGk4N28BZmdPx6ys6Wf9gXQkScPc\nfEEPBND40ouQzGbkrLx5WI5Jg1frq8fLR/+OPY3lUCQF15UuxxUTLxnUWlgmeWBzjLy7dwIAnIvO\nHVTMNH4IIVDf0YAjrRX4qPUYDjQfhjfsAxBtsX1Z8TIsLVzSLSEaLJtqRUfYD5Pbjfy77h7y8YzU\nb2L0wx/+EL/61a8St3/84x+PaEBERES9CesRVHmrEwnQifZTqOto6LZPhiUd891lmOQqxozMqSh2\nFhkyTG4gEh+Qh6li1Pr6P6G1tSHruhtgyhr4MC0aXifbK7H51BZ8WL8HutBRmj4Zt05fgQnOwkEf\nU00Mpes7MRKaho4D+6Hm5MCUlz/o56KxRwiB5kArqrzVqPLWoNJbjaNtx+EJeRP7uMxOLC1cgnnu\nMkzPnAJVHr5htlbFiuZAy7Adz0j9/qv4/X7U1NSgoGBsjhUkIqKR0xZsR0ALIteWM+ShEyEtBE/I\ni46IPzpmXQui1lefSIQqvdXQROcHQ6tixczMaZjkKo79TECGJX2oLylplGHsSqcHg2j5xybIdjsy\nP3HlkI9HZycQCWBXwz68U/0BjrZVAAAK0vJwbelyzMv52JD/24gOpZPOWDEKHK+A3tEB57mLx+ww\nplTgjwTgDfmQbcsc1Jc2IS2MGl8tKuNJkKcG1b4a+COBbvulm51YmDsP0zJLMS2jFHn23BE7L2yq\nFWE9gogeGdaEywj9Rt/S0oLLLrsM2dnZsFgsiQVeN2/enIz4iIhoFNCFjrZgO+o6GlDf0Yjajnp8\n1HI00dltZuY0fH7unbAo5n6PFdEjqOtoQJW3BtXeWlT5opetwbY+H6NICiY4CjHJVYzJsR+3PWfU\nVoMGQpYVCES/7R2qti1vQvN6kHXdDVBstqEHR/3qCHdgf/Nh7Gkox57G/QjrYQDArKzpuLz4IszM\nmjZsH0RNiilaMTpDYtRRvg8AYJ/N5VRGi/icxypvDY61ncChliM40X4KAgJ5dje+MPduuO3ZfT7e\nG/LhlKcKpzxVqPRWo9Jbg/qOBgh0/s2QICHXnoNZWdNR5CjEBEcBihwFyLCkJy1BtqrRznSBSBAO\n8zhPjP7nf/4nGXEQEaWcsBZGg78J6RYX0gxuBBDRI/CEvGgPeRKXTf5m1PkbUd/RgIaORoRiH/zi\nTLKKWVnTEYgEcbDlI/z12CbcNK17e2ghBGp8dTjefjL2cwo1vjrop82rybCkY2bmNLgsTthVG0Ja\nCGbFjDy7GxNdE1DkKIRpjH8TeTpFUiAkDLldt9A0tLz2D0gWCzIvv2J4gqMewnoEJ9pP4UhrBQ42\nH8bRtuOJ89hty8bi/AU4N2/BGT/oDtZA5hj5yvcBkgT7rFnD/vzUN13oaA950OhvRpO/GU2BZjT5\nW9Dgb0K1rxb+iD+xryzJKEmfBLtqw76mA/j5nt/gawvvhd1kgy501PjqcKjlCI60VuBkeyVagq3d\nnsuqWFGaPqkzAXIWoDAtH+YBfCE1kuJrGQW0ABxIMzSWoer3XaaoqAh/+ctfcOTIEaxevRqbNm3C\nihUrkhEbEdG4oekaGgPNsW8Oj+NY64nE0DBVVvHJ6TfgwsLhXSlc0zV4wz60JxIeD9pjP56QF+1B\nD9rDXniCHvgiHX0exyybkGt3I9eeg1y7G3l2N9y2HBQ5CmBWTAhpYXzv/R/jjVNbMd89B0WOAhxq\nOYLypgPY13gQbaH2xLFMsoqJzgkocuSj0FGAorTopdGJoRFkSYaQhj6UzrdnFyLNTUi/5DIojtHT\nXGKsawt6cMpTiePtJ3GktQIV7ScR0SMAot/ST3IVY07OLJRlz0KRo2BEv52PzjGSILTezxU9GESg\n4hisJSVQ7GP7g+loIYSAP+JHe8iDtqAHbaH22PXoZXvQg9ZQG5oDrYnzoisJEtz2bMzMnIpCRz4m\nOidgakZJIonY+NFf8Pqpt/H4jqeRa3ejou1EojkCADhNDszOnoGJzgkodhah2FGILGvmqBwmaVNi\ni7yeNpxvLOo3MXr88cdRW1uL8vJyfO5zn8PGjRtx8OBBrF27NhnxERGNSmEtjIAWhD/iRyAShD8S\nQEALoCPsT1Rc4j+twTY0BVq6VUniQ8MKHHnY27Afzx16Cfn2PEzJmNzvc4e0MNqC7WgLtaMt2IZI\ncxBVzQ1oD3oTyY8n5IU37Os25KI3aaodTrMDRY4CuCxOOM0OuMxOOM1OZFkykJfmRrrZdcY3Y7Ni\nwqdm3oSf7PwFnvjw/0KRlMRcoDSTHefmnYMpGZMxyVWMorSCQXXlGo8UWY5VjIY2lK719dcBABmX\nXj4MUaWe+MT1Sm91YtjSKU9los07EP2QW+QowNSMEkzNKMXUjJKkdjg0yaboudJHxShw4jig67CW\nTk1aTGOVLnR4Qj60h9oTSU5bMP73uj12Pbo93EvC01WayY7CtHxk27KQY81Cti0T2dYsZNuykGXN\nPGOVe+XUaxDRI9hS9S7qOhqQacnAkvyFmJ45BdMypiDLmjEqk6DedA6lS4HEaOvWrXjppZewcuVK\nOBwO/OY3v8H111/PxIiIDKELHZrQoekawnoYQS2EkBZKXIb0+O1w4nZYC0OVVWRaM5Brz4FNiU4U\nDekhBCJBBLQgApEggrHLgBZAQAsimLgvgEAkAH+X6xHR/wr0cQ5TGiY5i5Frz0F+Wi5KXJMwyVWc\nWDTvSEEFfvLhz/Gb8t9j3eL7E+vrBCIBHGuLVpbqfA2x+T0NZ6zuANHhFi6LA3lpbjjNTrjMTrgS\nCY8jdjt6fbgmyk7LnILPlq3CpuObIUkyZmVNR1nOTEx2TRzT84BGkixF5xhJQ1jgNVRbi44D5bDN\nmAlLUdHwBTcOabqGRn8TajvqUeurR42vHnUddajtaEBI675wfYYlHXNyZqPYWYSJziJMSZ9s6LpX\nJlmFpkhApPcP6oGKYwAAa2lqrl2lCx3esK/zS6mgB55w/Hr0CyNPOFol7+8LI1mS4TI7UZCWD5fZ\niXSLEy6zK3EZ3+Y0O4c0vFeWZNw6YyWuKfkEIiIyphrHnC5eBUuJilF8Mdd41hoKhbjA6xjmjwSg\nSgpMZ1jFmMafrsmELrTodaFB07XoZey+3q7rvewXEdHbun76sWLXhQZN735dj1/v5b7EdaHHjnl6\nHJ23+6uAjBSLYoZVscJhSkOOLRs21QqraoVNscAav65aYVOs0eTDEks+TI5+KyRTM0pwVcnH8beK\n1/D0rl+hyJGPU95qVHqqu71eWZKRY8tCsbMI6RZX4meSOx8IqIlKz5lWKR9J5+TOwTm5cwx57rFI\nkWQISRrSHKP297YBANIvuni4whrThBDwhL2o72hEQ0cj6v3Ry9qOetR3NHbraghEh6jl2d3It+ei\n0FEQHbLkLITL7DToFfTOJJugyQCEgNA0SEr3vymBY0cBALaSKQZEN3LCWhhtsap7Z5W8vdtcyPaQ\nB95Q/9Vxq2KFy+xArj0n+uWQxYX0rpdmZ2K+ZzK/zHGYx/7Qx/hQuoAWNDiSoes3Mbryyitx//33\no62tDRs2bMCf//xnXHvttcmIbcwKRkKo9dV329a1GCpi//kKEb2mCwEBHRDoclsk7u9xeYb7wnqk\n+7fnWgitwXY0BZpR66uHJ+yFLMmYml6C8wvPxXx32bBN2ut8PfppPwKa0CEQvS1E9DXq0CFi9+tC\nj90Wicfoicd0HrPz+N2fS3Q5hi5E53Fx2v2nPW+PY3R5vj6Pgc77tS4JR+cHfQ06BPLtbszInIb8\nNDdUWUVEjyAc+4kkLsPRSy2CsB6GqVpGu7cDYT2MSKwiMpaTiYGQJRmKpER/5M7rqqTAYjLHbsuQ\nZSVxPbqvApNsgkUxw6yYYVZMsMjR6xbF0m27SVYR0sJoDrSgPtZEwCSrMMmmaFKjWGBRLbDFLq3x\nZEexwKJYYFUtI/5GedXky1HRdgIHmg/jhOcUVElBSfokTM0owWRXMfLtucixZfeaZLndTjQ0eHo5\nKo1mSmyO0WArRkLX0f7eu5AsVjjmLxjm6EYvIQS8YR8a/I09EqAGf1OvH86sigUTnIXIt+ciPy0X\nBWl5yLPnIseWNSYqmiZZhSZHP0mISKRnYlRxDIrTCTUnx4jwBiWkhdAcaEFToBXNgWa0BtrQGkt8\n4j/9V8ctcJodyE3PiVXHOyvjXavlRn5hlApSqmL0+c9/Hm+//TYKCwtRW1uLNWvW4NJLL01GbGPW\nY2/8GEeajxsdRg9Z1kzMds2AL9yBw61Hcbj1KDaa0vDxiRfj/IJzEdCCsTeW6JtLg78J/ogf4diH\n9pAWQliPRCsFieRFSyQKp3eZSjWJD+2xD661vjrsatg3Is81lGSia5xn3q+Xx0hKbN9e9uv1cTLk\nLnGqktotXlmSx8wY6pEmSzK+OO9uVHqroUoq3PaccdeFjbobalc6/5GPEGlshOv8CyFbLMMbnMGE\nEGgPedHob0Kjv6kzCfI3or6jCQGt5wcwk6zCbcuB254Dty0bubHrufacfufJjXYmxYRQLBcS4TDQ\n5fcdaW1FpLkZaXPnjarXGG84U9/RgKZAC5oDLWj2t6A50IqmQHO3RgOns6lWpJtdmOAsRIYlPVod\nN7uQYXHBZXElEh6ju7FRVKIrXSokRgAQDAYRCoWgqirMZp6E/bl2xuX414nOD8TdvwsUkCBBkuTY\npQQZEqL/i9/u/LAox7ZJkIDYvvHbPS4BqN2+QTfDopjhMjuQedokwIaOJrxT8z7ernoXfzr6N/zp\n6N/6fD3xb9ZNsgkmxQSbZIUsybEfCbKkxC5lyJC73Ceftp8MCdHr8deZ2B7fJ/Z4KXG80+6PbZPi\n+5x+jNj+0eeQez8Gut4vJWKKxyp1OUbXmBP3d3ve+If/7h/whRBo9DfjUMtHaA22I6JHEv+OqqLC\nJKtQZVPsUo3dp8KdlQ5veyhxvyorTCZSiCzJmOicYHQYlCSJrnSDbL7g2f4eAMB53vnDGVZS+SMB\n1PrqUdtRjzpffbQ1vL8JjYHmHvN+gOjQtxxbNnJtU+C2x5IfWyz5sbjGRPVnMFRZRaBLxairzvlF\nxgyj6wj7Ue2rRZ2vHnX+6DzIuo4GNPqbe/3CVJVVZFkyMCHWZS3bloksayYy4wmQJX1A66HR6GGL\nNV9IiYrR97//fezatQvXXHMNdF3Hk08+ib1792L16tXJiG9MumDiIkyzzTA6jDNy27Nxw5SrcMXE\nS7Cl6h0cazsBu2qH254Nty079q1bNuyqbdy+0YwkSYq26Tzb9SzcOU40CA6JIkoFsiQjIgEYxFA6\noevw7toJ2eGAfeboX7cmrIVR7avFKU8Vqn210WTIV9+tlXucRTHH3oeykRP7ib8vZVrTU/I9qftQ\nuu7riQUrTwEALBMnjXgcLYFWnPJUoaW+CYfqjqPSU4WmQEuP/dJUe6LhTK7djRxbFrKt0QTIaXak\n5O9wPLOm0hyjN954A6+88gpUNbrrbbfdhhUrVjAxGifsJhuunMwWr0REyabICsKQBtWuO3D8OLS2\nVrguuLDHfBOjabqGk54qVLSfwClPFSo91ajtqO9RPci0ZGBW1nTk23ORl5Ybu3TDaXKwKn4ak2yC\nFh9Kd1rFKFRTDQDD3pUwvjjzkdYKHG2rwNHW4z0WHHWaHJiVNR0THIXIS8tFXiwRcpjGfkMBGjhb\nYo6Rv589R79+EyO324329nZkZWUBAMLhMDIzM0c8MCIiovEs3nxhMHOMfLs+BACkJanpghACFe0n\nUempQkFaPqZmlCSSFyEEqrw12Nt4AIdbj+J42wmE9M6qhlkxY7KrGBMc0Y5vRY4C5NlzE2ufUP+i\nXeli/97h7olRuE15ewAAIABJREFUsKoKksUCNTNryM8TiARxsOUjlDceRHlT98WZ00x2zM35GCa5\nilE2YQqcWiZcZieTWOoyxygFKkZZWVm4/vrrcfnll0NVVbz99tvIysrCAw88AAD43ve+N+JBEhER\njTdyovnC2VeMvLt2QlJVpM3+2PAH1kWTvxnv136I7bU70OBvSmyf756Dc9xlONp2HHsbD3SrJBSm\n5WNKRglK0ydhknMC3PYcDp0aoug6RtHrXYfSCU1DuK4W5gnFkAa5lIqma9jffAgf1O7Ensb9CMeS\n2jSTHYvy5mN65hRMSS9Bnt2dSILYCZO6sihmSJD6nGP0+qm3Ue2txVfcdyc5srPXb2J06aWXdutC\nV1ZWNqIBERERpYJExegs5xiFm5sQqq6CvWwuZKt12OPyRwLYWb8X22v/hSOtFQCiFYtz887BjMyp\neKfmA+xq2ItdDXsBRIfRLMqbj7k5szEzazrSDFwIdbxSu80x6lyLKdzQABGJwFJQeNbH9IZ92Fq1\nHVsq30lUhnLtOViQOw9l2TMxyVXMhJYGRJZkWBRLr90ij7RW4I8f/RUFaXkGRHb2+k2MVq5cifr6\neuTm5uJf//oXDh06hJtuugnWEfhjTERElCoUSYl2LT3LipH/4EEAGNZqkS50HGo+gvdq/4XdDeWJ\nqsG0jFIszl+Ic3LnJOYRLClYiD2N+9Hkb8YkVzFKXBP7XcSYhiY6x6hn84VQTRUAwFw48PlFvnAH\nNh1/HVuq3kVYD8OqWHDxhAuwJH8hJjoncGgcDYpVtfRo160LHS8cfhkCArfPvMmgyM5Ov4nRI488\ngnA4jLvvvhtf+9rXcOGFF2Lnzp14/PHHkxEfERHRuBRt1332zRc6Du4HANhnDb0bXXvIg21V72Nr\n9XtoDbYBANy2bCzJX4jF+QuQbes5b0WWZMx3c/RIMpkUFVqseNO1+UKwOtp4wVzYf8VIFzq2VL6L\nv1b8A/6IH5mWDFxWvBTnFy5OJL1Eg5VmsqOxy3BbAHivZgcqvdVYnL8Apekj3zVxOPSbGO3duxcb\nN27E008/jZtvvhlr1qzBTTeNjayPiIhotFLk6Bwj6SyG0gkh0HHwAGSHA+aiwa95dcpThf89+i7e\nPbkDmtBgVSxYWrgESwoWocQ1kVWDUabPilF1vGJ05sSovqMRzx54AUfbKmBTbVg59RpcXHQBTIpp\n5IKmlJJucaHKW4NAJACraoWma3il4h8wySZcX3ql0eENWL+JkaZp0HUdmzdvxmOPPQa/3w+/f2Dt\n+Hbv3o3HH38cv/3tb3HixAmsXbsWkiRh2rRpeOSRRyDLMp5++mm8+eabUFUV69atw9y5c/vcl4iI\naLyQBzHHKFxfj0hzMxwLFw1qsv3J9kr87fhr2Nt4AACQZ8+NDaNakOgsRaNPdB2j6PWuXelCNTWQ\nzGaYsnP6fOzuhnI8s/85BLQg5rvLcOuMlXCZnSMdMqWYDHM6AKA12I581YoP6/egNdiGSycsRaY1\nw+DoBq7fxGjFihVYunQpFixYgHnz5uHqq6/Grbfe2u+Bf/nLX+LPf/4zbDYbgGj3uvvvvx9LlizB\nww8/jM2bN6OwsBDvv/8+XnjhBdTU1GDNmjXYuHFjr/teccUVQ3+1REREo4QiKdDPsitdx8FoQmOf\nNfusnqsl0IqXjryCHfW7AQCl6ZNx27zrUKhwTslY0L1i1JkYhRvqYcpx95kkb6l8B384/CeYZBPu\nnH0bzs07h79vGhHpFhcAoC3Yjjy7G6+fehsSJFxSfKHBkZ2dfhOjT3/607jzzjsTFZtnn302sabR\nmUycOBFPPfUUvvnNbwIAysvLsXjxYgDARRddhG3btqGkpARLly6FJEkoLCyEpmlobm7udV8mRkRE\nNJ4okgycZWIUOHYUAGCbNn1A+0f0CDaf3IJXj29GSA9jkqsY15deiRmZU5Gb62LL5THCJKuIxLrS\n6bGhdJrPB93vh2la79WityrfwfOH/wSn2YF7530Wxc6z71xHNFAZscSoNdiGY20ncNJTiXnuMuTY\nsg2O7Oz0mRg99NBD+M53voNVq1b1+u3CM888c8YDL1++HJWVlYnbQojEcdLS0uDxeOD1epGR0Vle\ni2/vbd/+ZGbaoaqjpyuO280yNQ0Ozx0aDJ43Y4/q17EfEiQx8N/fqZMVkK1WFM2ZDkk583teVXst\nfvrer1HRcgouiwOfmXsbLi45r1sLZp43Y0MoYkmsY+SwKnC7nfC2NwAAXMVFPX6P/6ragxcOv4wM\nqwuPXvoVFLryhz0mnjvU1cRwPnAIiJiCeK9hOwBgZdkVPc6T0X7e9JkYxYfLrVmzZlieqOscIZ/P\nB5fLBYfDAZ/P12270+nsdd/+tLR0DEucw4ELn9Fg8dyhweB5MzZ5Q/7EULqB/P40vx/+yirYps9A\nY/OZ3/O21+zA/x76I8J6GOflL8JN066D3WRDU2Pney7Pm7FDF3piHaP2Fi/UBg88h48DACKO9G6/\nx/qOBvzkg19BlVV8vuxOmIJpw/575rlDp5MC0UYe5TVHsLdxPwrT8pGD/G7nyWg6b/pK0PqcuRlf\nyDUjIwPNzc3o6OhAQUEBFi9enBjmdjZmz56N7dujGeSWLVuwaNEiLFiwAFu3boWu66iuroau68jK\nyup1XyIiovFEjg2lkwY4lC54vAIQAtaS0j730YWOPx35G5458AeosorPlq3CqtmfhN1kG66wyQCy\nJAOxUTHxOUbhxmjFyJTjTuyn6Rqe2f88QloI/zbzZkxyFSc/WEpJeXY3LIoZuxv2QRc6Lp5wwZic\nz9ZnxaipqQn33XcfPvroI0yaNAmSJKGiogLz58/HE088Aafz7Eph3/rWt/DQQw/hiSeeQGlpKZYv\nXw5FUbBo0SLceuut0HUdDz/8cJ/7EhERjSfxdt0DnWMUqDgGAH0mRpqu4f/tfw476ncj156D1XM/\njTy7u9d9aeyR1OhHts7EqBFA98TozcptqGg/gYW583Bu/jnJD5JSllkxY567DO/XfghZknFu/gKj\nQxqUPhOjH/3oR1i4cCE2bNgAkylaHguFQnjqqafw3e9+F9///vf7PfiECRPw/PPPAwBKSkrw7LPP\n9thnzZo1PYbr9bUvERHReCFLMnQJkAbYe8Efa7xgLZ3S476uSdGU9MlYPfcu2E324QyXDJZIjMLR\n5gvhhnoAgMkdbb7gDfvw9+P/hF214ZMzVhgTJKW0a0uWw6yYcVnxMlgUs9HhDEqfidHOnTvx97//\nvds2s9mMr371q7jhhhtGPDAiIqLxLNqVThpwxSh44jiU9AyYMjO7bRdC4HcHX0wkRV+c9xlYVctI\nhEwGktTol9RdK0aKwwnZGh0muen46/BHArhx6rVwmNIMi5NSV7YtE7fPuNHoMIakzzlGFkvvf1Ql\nSeJiq0REREMkSzIEAHkAeZHm8yHS0gJL8cQe92068Tq21+7AZNdEfHHe3UyKxim5S2IkdB2Rpkao\nObFqUciHLVXvIsuaiYsmXGBkmERjWp8ZzpkmTI3FyVRERESjjYh1GhP9VI2CVdHlLyxFRd227286\nhL8c24RMSwbumXsnrKp1ZAIlw8mmeGIURqStDSISScwveqf6fUT0CC4rXgaT3O8SlUTUhz7/6/no\no49w+eWX99guhEBDQ8OIBkVERJQS4l80CtF5vRehqioAgKVoQmJbe8iDZ/b/AYqk4PNz74DLPLrX\nB6GhUUzRORsiHO4yv8gNTdewpepdmBUzluQvNDJEojGvz8Ro06ZNyYyDiIgoBcWSIV0HzjBMPVgd\nrRiZu1SMnjv0EjxhL26cei0mOif09VAaJ1RztBqohUOIdOlIV950EC3BViwtOo9t2YmGqM/EqOi0\ncj0RERENLxHLhYTQcaZB6qGqKkCSYC4oBADsazyA3Q37MCV9Mi4tXjrygZLhVHu0oULE5+2yhlEO\ndtTvBgBcUHCuYbERjRfsokBERGSU+PA5ve85RkIIBKsqYcrNg2w2I6xH8PzhlyFLMm6bcWN08U8a\n9ywWO0KqhIjXi3BsSoOUnYl9jQeRZc1k1ZBoGPCvKRERkVESc4z0PnfR2tqg+3yJxgvbqrejKdCM\nSyZciEJHfjKipFHAqlrgt0jQ4xUjScIxtCCgBTDfXcbGWETDgIkRERGRUWLzisQZKkbxjnTmwiKE\ntBA2HX8dZsWMT0y6NCkh0uhgVSwIWGTA24FwYyPUzCzsajkAAJjvnmNwdETjAxMjIiIio3TtSteH\ncH0dAMBcUIBt1e+jPeTBpROWwml2JCNCGiWsqhV+iwxEIoi0NMPkdmN/00E4TQ6UpPdc34qIzh4T\nIyIiIqNIXbrS9SFcH23NrObk4K3KbVBlFZcVL0tGdDSKRCtGncPlNHcm2kIeTM+cwnlmRMOE/yUR\nEREZZQALvIZia9ZUmLxo8DdhUe58OMxpSQmPRo/oHKPOj21NLgUAMC2z1KiQiMYdJkZERERGGUDz\nhXB9PWSbDVuaPwQAXFx8QTIio1EmMZQu5oTVDwCYljHFqJCIxh0mRkREREaJJUZ9NV8QQiDc2AA5\nJxvlzYcxyVnMtswpynLaULpytQlOswN5dreBURGNL0yMiIiIDCLJ8RVee68YaW2tEKEQvE4TBAQW\n5c9PYnQ0mthUKypzzfAVZsK+6nbUqh2YllHKNt1Ew4iJERERkVFiH2p1Xev17lCs8UKlJQAJEhbk\nzk1aaDS6WBQLWtJV7L3tPJyYmgGAw+iIhhsTIyIiIoNIsW5iQuu9YhTvSHfC5MXUjBJkWNKTFhuN\nLnbVBgDwhX043HoUADCdjReIhpVqdABEREQpK9aVTtMjvd4djnWka3UquIDVopRmN9ngMKWhtqMB\nYS0Mp8mBPHuu0WERjSusGBERERklVjHS+hhKF0+M2hwKZmfNSFpYNDrlp+Wi0d+EtlA7ZmRN5fwi\nomHGxIiIiMgg8Q+2mtZ7xSjU2ABdAqyZOXDbs5MZGo1C+V0qRB/LnmlgJETjExMjIiIio8S60vXV\nfCHY3ASvTcaMnOnJjIpGqfy0vMT1WVk8J4iGG+cYERERGSU2x0jvpWIkdB2irR3ebIUfggkAcE7u\nHFR6qrFswnlwmh1Gh0M07jAxIiIiMki8K11vFSOtvR2SEPDZFSzOnJrs0GgUyrCkY9XsTxodBtG4\nxcQoBQgh4AtEUN3oQ11LBywmBTMnZcJlNxsdGhFRSosv8NrbHKNQcxMAQLicsJtsSY2LiCgVMTEa\nAR8erMcH5dVdtkhd/h8QiCYrAKALAQggeiGilyJ6f3y/6GX0/3QRPYIuEHtc536aLhAK6whFtMRl\nMKyjzRtEINT920hFljB/Wg4uWzABMydm9NrZJn7McETv/NF0aLqA0AV0EY03filEl226iN6Ov1bR\n+do7j5+41su2Llu7betth86rXR/f13GH23Ae2lXdjrY2/zAecWQM97+nGNZ/RQzvL2XkDjlsXM5W\ntHsCRodBg9ARiq5fdOhkE05otd3uCx3ajQIAEVs63i2v7eXRQ8PzJvVIPa4MjsvZhnZPP+9VY+R9\nl5KjMDsNbrfT6DD6xcRoBPy/v+3Hsao2Q2OQJMBiUmBWZeSk25CTbkVupg2FOWnw+sN4r7wWOw41\nYMehBkyfkI5l8woRDGuob/FHf1r9aGj1IxzpfdFBIiIaukvDQZQCeP1fJ1H1Yfd+SIsiB1EA4Eir\nBX/+y35D4iMiGg4uuwnPlhUYHUa/mBiNgP/4/PnYd7i+2zbR5Sv2eHVGliRAiiYxEqToZbfrEiRE\nt0GS4nN0uzyu834JEmRZiiZDJhmKLJ1xfYOrlkzEsep2/PWd49h9tAmHK7sncjaLisLsNDhsKkyq\nAlWVYVJkmFQJiixDkqJxSFI0VlmWum2TY/HJp8V+uniM3e6Wul7t+UBJ6nXXxB19H6vn8442TocF\nHm8Qwx3eiLzaYQ5y2GMcgRc9Os8awOm0wsNv/sck79tbgRPAsjm5sBR3X6fI+9abAIA5sz+Gc4uH\nfw0jnjeppfdRGIP7u+ZwWuEdyLkzgn80R+vfY+pdUY5j1H726oqJ0QhId1gwvTjD6DDOSJIkTClK\nx5dvmYcTtR4cqWqD3aoiN9OGvEw70qzqmDiBxxu324mGBo/RYdAYw/Nm7Nq20woAKC10YOr8om73\nvfZq9Hd68ZJFsObm9XjsUPG8ocHiuUPjFRMjwqR8Jyblj/5xn0RE442kRN+G9Ui42/agFoLi8QEA\nLFlc2JWIKBm4wCsREZFBZEUBAES07olRtbcWaR0awnYLJJXfYRIRJQMTIyIiIoPIsYqRFunerrvW\nWwtHhwaks5pPRJQsTIyIiIgMEk+MdC3UbXtdSyVMGmDKzDIiLCKilMTEiIiIyCDxoXRapPtac231\nVQAAe3Zu0mMiIkpVTIyIiIgMkhhKd9ocI29LdMkHawYbLxARJQsTIyIiIoPIanwoXWfFKKiFEG6P\nri2nODnHiIgoWZgYERERGURRTAC6V4zqfPWwBXQAgOp0GRIXEVEqYmJERERkECXRfKGzK12Nrw72\nYDQxYsWIiCh5mBgREREZRFGjFaOuiVFtRz1sARG9nxUjIqKkYWJERERkELmXilFDRyNsrBgRESUd\nEyMiIiKDqEq8YtTZfKEp0Iy0oAAkCYrDYVRoREQph4kRERGRQeJzjITemRg1+puRFpSgpDkgyXyb\nJiJKFv7FJSIiMoiimgF0DqXzR/zoiPhhC2pQXBxGR0SUTEyMiIiIDBJvviBiQ+ka/S2QdAFzIALF\nwcSIiCiZmBgREREZ5PQ5Rk3+ps7GCy52pCMiSiYmRkRERAZR4xWj2ByjxkAzbMF4q25WjIiIkomJ\nERERkUFOH0rX5G+BPRCtGKlcw4iIKKmYGBERERlETnSliyZDTYFm2ALxNYyYGBERJRMTIyIiIoNI\nsgKga/OFZqSHo9s4lI6IKLmYGBERERlEUmJvw7oOIQSaA83I0qItvNl8gYgouZgYERERGSW2gKvQ\nNLSHPAjrEbjC0eF1isNhZGRERCmHiREREZFBJLmzYtTobwYApIUlAICSlmZUWEREKYmJERERkVFi\nc4x0PYKmQDQxsoZjd9mZGBERJRMTIyIiIoPE5xgJTUeNrw4AYA5EIJnNkE0mI0MjIko5TIyIiIiM\nEqsYyULgeNtJAIASCHEYHRGRAZgYERERGSReMZJ0oKL9BCRIgD/AYXRERAZgYkRERGSUWPMFWQBh\nPQK3NQu638+KERGRAZgYERERGSS+wKskBACgSM0EhIBstxsZFhFRSmJiREREZJD4UDpZj97Ol9IB\nAEoa1zAiIko2JkZERERGSTRfiN7MRTQhUlgxIiJKOjWZTxYOh7F27VpUVVVBlmV85zvfgaqqWLt2\nLSRJwrRp0/DII49AlmU8/fTTePPNN6GqKtatW4e5c+cmM1QiIqIRJyXmGAlIkDDVnI9GADLnGBER\nJV1SE6O33noLkUgEzz33HLZt24af/OQnCIfDuP/++7FkyRI8/PDD2Lx5MwoLC/H+++/jhRdeQE1N\nDdasWYONGzcmM1QiIqKRF0uMJjsm4L8u+hYiH+4GADZfICIyQFKH0pWUlEDTNOi6Dq/XC1VVUV5e\njsWLFwMALrroIrzzzjvYsWMHli5dCkmSUFhYCE3T0NzcnMxQiYiIRpwky4AkwSKZYFOt0Hw+AGC7\nbiIiAyS1YmS321FVVYWrrroKLS0t+PnPf44PPvgAkiQBANLS0uDxeOD1epGRkZF4XHx7VlZWn8fO\nzLRDVZURfw0D5XY7jQ6BxiieOzQYPG/Gro8UBaoswe12IiBFAABZhTnITMLvlOcNDRbPHRqM0X7e\nJDUx2rBhA5YuXYqvfe1rqKmpwZ133olwOJy43+fzweVyweFwwBf71iy+3ek88z9kS0vHiMV9ttxu\nJxoaPEaHQWMQzx0aDJ43Y5wsIxQMoaHBA099dHSEJywjMsK/U543NFg8d2gwRtN501eCltShdC6X\nK5HgpKenIxKJYPbs2di+fTsAYMuWLVi0aBEWLFiArVu3Qtd1VFdXQ9f1M1aLiIiIxipJlgE92q9b\n64h+Kcg5RkREyZfUitFdd92FdevW4VOf+hTC4TC+8pWvoKysDA899BCeeOIJlJaWYvny5VAUBYsW\nLcKtt94KXdfx8MMPJzNMIiKi5JEVCE0DgMQcIyZGRETJl9TEKC0tDU8++WSP7c8++2yPbWvWrMGa\nNWuSERYREZFhulaM9ETzBa5jRESUbFzglYiIyEiKDKHHKkYdHZBttsT6RkRElDz8y0tERGQgSVa6\nVYy4uCsRkTGYGBERERlJkSG0zuYLCtcwIiIyBBMjIiIiA0myAqFrEJEIRDDIxgtERAZhYkRERGQg\nSZYBTUt0pONQOiIiYzAxIiIiMpBkNkMPhTpbdXMoHRGRIZgYERERGUi2WCBCoc5W3awYEREZgokR\nERGRgSSzGRACkbZWAKwYEREZhYkRERGRgWSzBQAQaWmO3k7j4q5EREZgYkRERGQgyWwGAERaWgCA\nXemIiAzCxIiIiMhAsqV7xYhD6YiIjMHEiIiIyEDxilE4VjFi8wUiImMwMSIiIjKQHB9K18qhdERE\nRmJiREREZCApPpSuOdZ8gUPpiIgMwcSIiIjIQPGKEXQdkqpCtlqNDYiIKEUxMSIiIjJQvGIEAIor\nHZIkGRgNEVHqYmJERERkoETFCIDichkYCRFRamNiREREZCDJ3FkxUpkYEREZhokRERGRgeRuQ+mY\nGBERGYWJERERkYG6DaVzMjEiIjIKEyMiIiIDdW2+wKF0RETGYWJERERkoG4Vo/R0AyMhIkptqtEB\nEBERpTJTjhuOhYugpKXBMXee0eEQEaUsJkZEREQGklQVhV/4ktFhEBGlPA6lIyIiIiKilMfEiIiI\niIiIUh4TIyIiIiIiSnlMjIiIiIiIKOUxMSIiIiIiopTHxIiIiIiIiFIeEyMiIiIiIkp5TIyIiIiI\niCjlMTEiIiIiIqKUx8SIiIiIiIhSHhMjIiIiIiJKeUyMiIiIiIgo5TExIiIiIiKilCcJIYTRQRAR\nERERERmJFSMiIiIiIkp5TIyIiIiIiCjlMTEiIiIiIqKUx8SIiIiIiIhSHhMjIiIiIiJKeUyMiIiI\niIgo5alGBzCe6LqORx99FIcOHYLZbMb69esxadIko8OiUSQcDmPdunWoqqpCKBTCF77wBUydOhVr\n166FJEmYNm0aHnnkEciyjKeffhpvvvkmVFXFunXrMHfuXKPDJ4M1NTXhxhtvxK9//Wuoqsrzhvr1\ni1/8Aq+//jrC4TBuv/12LF68mOcN9SscDmPt2rWoqqqCLMv4zne+w785dEa7d+/G448/jt/+9rc4\nceLEgM+VvvY1jKBhs2nTJvGtb31LCCHEzp07xerVqw2OiEabF198Uaxfv14IIURzc7O4+OKLxT33\n3CPee+89IYQQDz30kPjHP/4h9u3bJ1atWiV0XRdVVVXixhtvNDJsGgVCoZD44he/KD7xiU+II0eO\n8Lyhfr333nvinnvuEZqmCa/XK37605/yvKEBee2118R9990nhBBi69at4ktf+hLPHerTf//3f4tr\nr71W3HLLLUIIcVbnSm/7GolD6YbRjh07sGzZMgDA/PnzsW/fPoMjotHmyiuvxJe//OXEbUVRUF5e\njsWLFwMALrroIrzzzjvYsWMHli5dCkmSUFhYCE3T0NzcbFTYNAr84Ac/wG233Ybc3FwA4HlD/dq6\ndSumT5+Oe++9F6tXr8Yll1zC84YGpKSkBJqmQdd1eL1eqKrKc4f6NHHiRDz11FOJ22dzrvS2r5GY\nGA0jr9cLh8ORuK0oCiKRiIER0WiTlpYGh8MBr9eL++67D/fffz+EEJAkKXG/x+PpcS7Ft1Nq+uMf\n/4isrKzEFy8AeN5Qv1paWrBv3z48+eSTeOyxx/D1r3+d5w0NiN1uR1VVFa666io89NBDWLVqFc8d\n6tPy5cuhqp2zc87mXOltXyNxjtEwcjgc8Pl8idu6rnc7UYgAoKamBvfeey8+9alP4brrrsN//dd/\nJe7z+XxwuVw9ziWfzwen02lEuDQKbNy4EZIk4d1338WBAwfwrW99q9u3sjxvqDcZGRkoLS2F2WxG\naWkpLBYLamtrE/fzvKG+bNiwAUuXLsXXvvY11NTU4M4770Q4HE7cz3OHzqTrHKH+zpXe9jUSK0bD\naMGCBdiyZQsAYNeuXZg+fbrBEdFo09jYiLvvvhvf+MY3cPPNNwMAZs+eje3btwMAtmzZgkWLFmHB\nggXYunUrdF1HdXU1dF1HVlaWkaGTgX73u9/h2WefxW9/+1vMmjULP/jBD3DRRRfxvKEzWrhwId5+\n+20IIVBXVwe/34/zzz+f5w31y+VyJRKc9PR0RCIRvlfRgJ3NudLbvkaShBDC0AjGkXhXusOHD0MI\ngf/8z//ElClTjA6LRpH169fj73//O0pLSxPbHnzwQaxfvx7hcBilpaVYv349FEXBU089hS1btkDX\ndTzwwAOG/7Gg0WHVqlV49NFHIcsyHnroIZ43dEY//OEPsX37dggh8JWvfAUTJkzgeUP98vl8WLdu\nHRoaGhAOh3HHHXegrKyM5w71qbKyEl/96lfx/PPPo6KiYsDnSl/7GoWJERERERERpTwOpSMiIiIi\nopTHxIiIiIiIiFIeEyMiIiIiIkp5TIyIiIiIiCjlMTEiIiIiIqKUx8SIiIhGlQceeACXX345/vrX\nvya21dXV4XOf+9xZHae5uRkPPvggrrjiClx11VVYuXIlNm/enLh/1apVifUz4tauXYs//vGPQ3sB\nREQ0JqlGB0BERNTVSy+9hD179sBsNie25eXl4Ze//OWAjxEKhXDnnXdi+fLlePXVV6EoCo4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(14,6))\n", "\n", "for RH in RH_vec:\n", " D = MPM(f, P, T, RH, 0, 0, 0, 'del')\n", " ax.plot(f,D, label='RH ' + str(RH) + '%')\n", "\n", "ax.set_xlabel('f in GHz')\n", "ax.set_ylabel('Dispersion delay in ps/km')\n", "plt.legend(loc=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot as above, but leave out the non-dispersive part\n", "This reproduces the Figure 2 in \n", "`\n", "H.J. Liebe, G.A. Hufford, M.G. Cotton, \"Propagation modeling of moist air and suspended water/ice particles at frequencies below 1000 GHz\" Proc. NATO/AGARD Wave Propagation Panel, 52nd meeting, No. 3/1-10, Mallorca, Spain, 17 - 20 May, 1993\n", "`" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-200, 200)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UcwqGIkG0GFidZY5knyMhhBBiiNMDfjzbtmItGIUlJ6fzE4Bqd2j9yPCU9je7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\nBsbYRnPJpPn4NT8bazdT6thHYXoBxRm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u/z97qqAe5PEDf+JgcwnFqRO4Z94dOK3ndmGg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\nBqNt27apr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(14,6))\n", "\n", "for RH in RH_vec:\n", " D = MPM(f, P=1013, T=15, U=RH, wa=0, wae=0, R=0, output_type='del')\n", " ax.plot(f,D-D[0], label='RH ' + str(RH) + '%')\n", "\n", "ax.set_xlabel('f in GHz')\n", "ax.set_ylabel('Dispersion delay in ps/km')\n", "plt.legend(loc=2)\n", "\n", "ax.set_ylim([-200, 200])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 1 }